2
2
2
2
2
2
16
16
16
16
0
0
2
2
1
16
2
25
25
1
4
4
4
4
4
4
4
4
4
16
4
4
4
4
4
0
0
0
1
16
0
0
0
16
16
0
0
16
16
8
8
8
8
16
16
0
16
16
18
8
8
0
1
1
1
8
4
4
4
4
4
16
16
16
0
0
0
1
1
1
0
8
8
8
8
8
16
4
17
4
16
16
16
8
8
8
8
0
32
32
32
32
32
8
8
8
8
32
32
16
16
1
1
1
1
1
1
1
13
1
1
1
1
1
1
32
32
8
16
16
12
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
16
16
0
8
8
16
16
1
8
0
16
0
8
24
8
8
8
4
8
16
16
32
32
16
0
8
8
1
16
17
16
16
16
16
4
16
0
0
0
8
0
0
4
8
0
16
16
8
8
8
8
1
1
1
1
1
16
16
8
8
8
3
48
16
1
8
8
16
16
8
16
32
16
16
16
16
16
4
4
4
16
16
16
8
8
8
32
20
20
20
0
26
16
8
8
8
8
8
0
2
2
2
2
2
17
17
17
17
16
16
0
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
8
1
1
1
18
19
0
8
8
0
0
8
4
4
4
16
16
2
16
0
0
0
0
8
8
4
4
2
2
2
2
2
8
16
16
16
16
16
1
1
1
4
4
4
4
4
4
4
4
4
8
12
8
8
8
8
0
8
8
8
1
8
8
8
0
0
0
0
0
0
0
0
2
10
8
8
0
16
8
24
8
4
18
18
32
32
0
0
17
8
8
0
1
8
8
8
16
8
8
8
8
16
0
0
16
16
16
16
16
16
16
10
8
2
0
0
0
16
16
16
16
16
16
16
16
16
16
16
0
0
13
13
8
8
8
8
8
0
27
4
14
2
4
4
4
0
16
2
8
16
8
8
8
32
32
32
32
32
32
16
16
16
16
25
25
16
1
32
32
32
32
12
12
4
4
40
40
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
8
8
0
16
16
16
1
8
8
8
8
8
2
2
2
2
2
8
8
8
1
0
0
8
8
8
8
8
8
8
8
8
1
1
0
2
2
8
0
0
16
16
16
16
2
2
2
16
16
16
20
16
4
8
1
8
2
0
32
5
8
0
0
16
8
24
24
0
0
0
0
8
8
0
0
0
0
0
20
4
8
1
21
21
21
21
21
1
1
1
1
2
1
8
8
8
0
0
0
2
2
1
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
0
16
20
20
20
4
20
16
16
16
16
16
16
16
16
16
32
32
32
8
4
8
8
1
1
1
16
1
1
1
24
24
24
8
0
0
8
8
8
0
8
24
0
0
0
10
2
2
0
0
0
16
17
1
0
0
8
0
2
2
2
0
16
16
16
8
8
8
16
8
16
16
8
8
0
8
2
2
24
0
8
2
2
4
4
4
4
4
4
4
8
8
8
8
12
16
16
16
16
4
4
4
4
8
8
8
8
18
2
8
8
8
8
8
0
16
16
16
16
16
16
16
8
16
16
17
16
2
40
8
32
32
32
32
32
32
2
2
2
2
2
0
16
16
16
8
16
16
16
16
8
8
8
32
32
0
0
4
4
4
0
8
8
8
8
0
24
16
16
16
16
0
32
32
32
32
32
32
32
32
2
4
24
16
8
8
8
8
8
8
4
4
16
16
16
16
8
8
8
8
8
8
8
8
8
0
0
8
1
16
16
8
8
0
0
0
0
0
0
8
8
8
15
7
0
0
0
1
1
17
8
8
8
8
16
16
16
16
16
8
8
16
8
16
1
16
1
16
16
16
2
2
6
8
17
0
0
0
8
8
8
0
0
16
16
16
8
8
8
8
8
8
4
16
0
0
1
1
1
1
8
8
32
32
32
8
4
12
8
8
8
8
8
16
8
16
8
8
8
8
0
0
2
0
0
16
8
8
8
8
1
1
8
8
8
8
8
4
4
8
8
8
8
8
8
16
1
8
9
9
16
24
8
0
4
4
4
8
8
16
2
2
2
1
16
41
8
16
16
16
16
16
16
16
16
16
1
1
1
16
16
16
16
16
16
16
16
16
16
16
16
0
4
4
16
16
16
16
16
16
16
16
16
16
24
8
8
8
8
1
1
33
33
1
8
8
8
0
0
0
0
0
0
1
1
1
16
16
16
8
8
8
8
8
8
16
1
1
1
16
8
8
8
8
8
2
2
2
0
2
2
1
1
8
8
16
0
26
26
0
0
16
17
0
0
4
4
4
4
0
0
16
16
16
16
16
8
8
8
8
8
8
8
8
8
8
8
2
2
2
2
4
16
16
1
8
8
18
1
0
2
16
4
4
8
8
0
0
0
0
0
8
8
1
1
8
8
4
8
16
8
8
8
4
16
16
8
16
16
16
16
16
16
48
16
48
16
36
32
4
16
16
8
8
8
1
1
1
0
0
4
4
4
4
4
4
4
4
4
0
16
8
24
0
0
1
2
2
2
2
2
4
2
16
16
0
8
8
8
0
0
0
0
8
16
24
24
24
0
0
8
8
1
16
16
16
0
0
1
1
0
8
8
8
34
34
16
16
4
8
12
1
34
16
16
8
4
8
8
8
0
1
1
8
8
8
0
0
0
8
31
8
8
2
2
2
2
16
16
16
16
16
16
16
16
0
8
8
8
0
0
0
9
2
8
17
16
8
16
8
0
16
4
4
4
4
1
1
8
0
1
1
1
1
1
1
0
8
8
8
8
0
0
0
8
8
8
0
1
1
1
16
16
16
8
24
16
16
1
5
8
0
0
0
5
4
5
5
5
8
16
16
16
16
16
32
8
8
8
8
8
8
8
0
16
16
16
2
2
16
16
8
8
8
8
8
8
8
8
8
8
8
8
0
8
8
8
0
0
4
4
4
4
16
16
12
12
12
12
8
4
4
4
16
36
4
4
4
4
4
4
4
4
0
16
3
0
8
8
1
1
1
1
4
4
4
2
32
34
34
8
40
32
1
8
8
8
8
8
16
0
0
1
1
8
24
8
8
24
8
8
1
1
2
0
8
16
1
16
16
1
32
32
4
4
4
0
16
16
16
16
1
1
1
8
8
16
8
16
8
8
8
8
8
8
8
8
8
34
34
8
0
2
0
0
16
1
16
16
16
0
16
60
60
60
24
16
16
0
16
16
16
16
8
8
12
8
8
8
8
1
1
4
8
4
4
4
4
0
0
32
2
32
0
1
1
0
0
0
16
16
16
0
1
1
1
1
2
2
2
16
0
24
16
4
4
4
2
2
8
8
8
8
0
2
16
16
16
16
16
16
16
8
6
4
6
2
2
4
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
8
1
8
8
1
24
8
8
8
0
4
0
8
0
8
17
0
0
8
1
0
0
0
8
8
8
8
8
8
8
8
16
0
4
2
2
2
4
8
8
8
8
8
16
8
8
8
4
0
0
0
0
0
0
0
8
8
8
8
0
52
4
4
52
52
8
8
0
46
18
8
1
8
8
8
4
4
16
16
0
16
1
1
8
16
16
16
16
16
0
8
8
8
8
4
4
4
4
8
4
4
4
4
4
4
4
8
14
14
0
8
8
8
1
16
16
16
16
4
4
8
17
4
16
1
1
48
48
48
48
0
0
0
0
0
24
2
0
8
8
24
24
0
0
0
8
8
8
8
8
0
8
8
8
8
0
0
8
8
8
1
1
0
16
16
16
0
32
8
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
4
4
0
8
8
8
8
8
28
8
22
8
16
16
16
0
0
16
16
0
0
0
2
1
1
1
1
8
8
32
16
8
1
8
0
8
8
8
16
16
2
2
32
0
16
1
16
49
20
20
20
0
1
1
1
1
1
8
6
48
8
48
0
8
8
8
8
8
8
16
20
0
0
2
16
16
16
0
0
16
16
8
8
8
8
16
24
24
8
16
16
8
4
4
8
4
4
4
4
4
4
8
8
8
0
12
2
14
14
14
16
16
2
18
16
32
32
0
16
16
16
16
16
8
8
0
4
8
8
0
8
8
8
0
8
8
8
4
4
4
4
4
4
4
8
8
8
0
0
0
0
8
1
1
1
16
16
16
16
24
8
8
0
1
1
8
8
0
8
32
8
8
0
24
16
2
2
2
2
2
2
4
4
16
16
0
0
32
32
8
8
8
8
1
1
2
8
8
8
8
8
8
8
8
8
4
4
8
8
10
8
16
0
0
0
0
0
16
4
8
4
2
14
16
16
16
5
5
5
5
5
4
8
8
16
8
8
8
8
8
8
2
2
10
0
8
4
32
32
32
0
0
16
16
9
24
24
24
24
8
0
2
2
16
0
0
0
4
4
0
8
32
8
8
8
8
8
8
8
24
8
16
16
24
8
8
0
0
0
28
28
28
1
16
16
0
8
16
16
8
16
16
16
4
4
4
16
16
16
16
16
4
0
16
1
1
1
1
1
8
8
16
0
1
0
0
0
8
4
4
4
8
8
8
8
8
2
8
8
16
0
8
16
24
8
16
2
18
16
16
2
8
8
8
0
0
0
24
24
24
8
4
4
4
24
8
8
2
2
2
0
8
8
8
8
8
8
0
12
8
8
4
4
4
12
0
8
8
8
8
8
8
8
8
1
16
16
16
16
1
4
4
16
8
12
12
0
8
8
4
4
4
4
4
4
8
0
8
0
24
16
16
16
16
16
16
16
4
4
24
18
16
16
0
16
16
16
16
16
0
8
2
4
4
4
4
8
8
8
24
8
8
0
16
0
0
0
4
4
16
2
8
8
8
40
0
0
0
0
16
16
16
16
0
0
0
16
16
16
16
2
1
1
1
1
16
16
8
8
8
8
8
8
8
0
8
8
8
8
8
8
8
8
8
0
0
0
4
4
4
0
0
16
16
16
16
16
32
32
32
8
8
8
8
8
8
8
8
16
2
2
6
4
2
8
8
8
8
2
2
16
16
16
16
4
4
4
4
4
8
8
8
1
1
33
16
16
49
16
16
16
16
16
16
16
16
16
16
0
0
0
0
8
8
8
8
8
8
8
8
16
16
8
8
8
8
8
8
8
8
8
0
4
4
8
8
8
0
4
0
16
16
16
16
16
0
4
4
4
4
16
8
8
2
2
2
1
8
42
2
16
16
16
16
1
1
1
4
16
0
0
8
12
1
1
1
1
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
16
16
2
24
24
24
24
24
24
16
4
8
32
32
32
32
32
32
8
8
8
8
8
8
8
8
8
8
8
4
8
8
8
0
8
8
8
8
8
8
8
8
8
8
8
8
8
16
24
16
8
8
4
4
16
16
8
8
8
8
8
0
0
8
16
16
16
0
1
8
8
8
2
8
8
8
1
1
8
4
4
4
4
4
4
4
16
4
4
1
4
2
2
2
32
36
36
32
32
0
16
16
16
16
32
56
0
0
0
0
8
24
8
8
8
0
0
0
8
8
4
16
8
8
2
16
16
1
0
4
8
12
0
12
12
8
8
8
8
2
24
24
0
8
8
0
1
4
36
16
16
8
8
8
8
8
4
4
8
8
8
8
0
16
16
16
2
2
2
8
8
8
16
8
24
16
16
8
8
1
1
1
4
8
12
12
16
1
16
2
16
0
0
4
8
8
8
8
0
16
16
16
8
8
8
16
16
24
8
8
8
4
4
4
4
4
4
1
1
1
1
1
1
1
16
1
1
2
1
1
16
16
18
18
16
16
16
0
1
8
8
34
8
16
8
8
9
1
1
16
16
16
16
8
16
16
48
0
32
8
0
0
0
0
0
0
16
16
16
16
16
2
2
2
20
16
0
20
20
1
1
1
1
1
0
2
2
2
2
6
4
4
4
4
0
0
0
18
18
2
2
2
2
4
4
4
16
16
48
48
48
48
8
8
8
8
8
0
0
16
8
8
8
8
8
8
8
16
16
8
8
8
8
8
8
8
8
8
8
8
8
1
1
0
8
0
8
0
2
2
2
2
2
2
1
2
2
4
16
4
4
4
8
8
8
12
8
8
8
4
4
4
4
4
4
4
1
16
16
25
16
16
1
1
48
48
48
8
8
8
8
24
0
8
8
8
20
8
12
12
2
4
4
4
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
8
0
52
52
16
16
16
0
0
8
8
8
0
8
8
8
16
16
16
16
16
4
5
8
8
8
0
0
8
0
16
12
20
28
28
20
20
32
32
32
12
2
14
16
16
8
8
8
8
8
8
8
0
0
0
8
24
8
8
16
6
0
8
24
16
8
12
8
8
8
8
8
8
8
2
0
16
16
4
4
2
16
16
0
4
4
4
8
12
4
0
16
16
16
16
16
16
8
8
4
4
4
8
8
8
8
32
32
4
4
4
4
4
4
4
0
16
16
8
0
1
32
32
32
8
8
4
4
4
32
8
8
8
8
8
1
4
8
0
16
16
16
16
1
8
8
8
0
0
0
8
16
16
16
8
8
8
16
16
16
4
4
1
1
1
8
8
16
8
8
0
0
0
0
0
0
0
0
0
8
8
8
8
8
8
4
0
0
16
16
16
16
16
8
16
8
4
0
0
18
18
8
8
8
8
8
8
8
8
4
4
33
1
1
0
0
0
0
16
16
16
16
16
16
16
16
16
0
0
0
1
1
1
1
1
1
4
4
4
4
0
0
0
0
0
32
22
54
16
16
16
20
0
24
8
8
1
1
1
0
8
2
16
8
16
16
8
8
8
8
8
8
16
16
4
0
10
10
2
2
16
16
0
0
16
16
4
1
16
16
1
8
8
8
0
0
0
0
0
0
16
8
8
8
8
8
8
0
0
0
0
0
0
0
1
16
24
24
16
16
16
0
2
2
2
1
1
16
0
8
16
16
16
16
16
1
1
0
32
16
8
8
8
16
8
10
10
8
16
4
4
4
4
0
0
0
0
8
12
8
1
8
8
8
8
0
0
12
12
0
4
4
4
4
1
1
2
2
1
2
2
0
16
8
8
8
1
1
8
0
1
1
1
1
1
0
8
8
8
8
8
16
1
0
16
0
0
0
2
0
0
1
1
1
0
4
36
36
36
36
2
2
16
12
0
0
8
8
8
8
8
8
8
6
8
8
8
8
8
8
8
16
4
6
24
16
8
24
8
8
8
8
8
16
16
0
8
8
0
16
16
8
8
8
1
1
1
1
1
4
0
16
16
16
16
16
16
16
0
16
0
8
8
32
32
8
8
16
0
4
4
4
4
6
0
1
8
8
8
8
8
8
16
8
32
32
32
32
32
32
8
8
8
8
8
8
8
8
8
8
1
1
8
8
8
8
8
8
8
16
2
8
0
8
16
16
0
0
0
16
16
0
0
8
4
12
12
12
8
8
0
0
0
0
0
8
8
8
8
39
1
4
4
16
16
16
8
8
16
16
4
4
4
4
8
8
32
32
32
32
0
8
0
1
2
8
8
8
4
5
5
0
16
20
16
18
18
8
8
8
0
4
4
4
16
1
1
1
1
1
16
16
16
16
8
16
1
24
8
8
1
32
8
8
1
0
16
17
16
1
9
8
8
16
16
0
0
0
0
0
8
20
2
0
0
0
16
8
8
8
8
8
8
8
8
1
1
1
1
1
0
8
0
0
32
0
8
8
4
8
8
16
18
18
0
0
8
8
8
8
0
0
16
16
16
16
16
16
8
2
2
8
16
16
0
8
8
8
0
0
0
8
2
2
2
2
0
2
2
8
8
8
8
8
16
0
16
16
16
16
16
4
4
4
4
61
4
8
8
4
4
4
4
8
8
16
16
16
8
8
8
0
1
0
8
8
1
1
1
2
2
8
8
8
8
16
16
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
4
16
16
16
16
16
8
16
16
16
16
2
2
2
8
2
16
8
16
16
16
16
4
16
16
8
8
8
8
8
0
16
2
18
8
8
8
8
16
8
1
1
8
8
8
0
18
8
0
0
0
0
0
16
16
16
16
16
16
16
16
0
0
0
0
0
0
16
16
16
16
16
16
4
4
4
4
1
1
1
16
1
0
0
8
8
8
8
8
8
24
24
4
4
16
16
8
16
16
16
16
16
0
8
8
1
8
16
16
16
16
0
0
0
0
0
16
16
24
0
0
0
8
8
0
9
1
8
4
4
20
16
16
8
0
0
0
0
0
32
32
32
8
8
8
8
16
12
4
4
4
8
8
0
8
8
8
8
16
0
16
16
16
4
16
16
16
16
16
16
8
2
8
8
1
4
8
8
12
0
0
0
0
0
0
0
48
48
48
0
4
8
8
8
8
8
16
16
16
16
16
16
4
4
1
24
8
8
8
8
8
24
8
8
8
8
8
8
8
8
0
0
16
4
4
8
8
8
8
8
4
4
4
4
8
8
4
4
4
24
0
16
0
16
16
16
16
16
4
5
24
8
8
32
0
0
0
0
8
8
0
8
8
0
0
8
8
8
0
21
21
16
8
56
8
8
0
2
2
1
1
0
0
16
16
16
16
16
16
16
16
16
16
0
8
2
2
2
2
2
2
2
2
2
2
2
2
2
8
8
0
8
8
8
32
0
0
8
8
8
8
8
2
0
8
16
16
16
8
8
8
8
16
1
1
4
4
4
0
0
16
16
0
0
2
0
8
16
16
16
8
8
8
8
8
0
8
8
8
8
8
8
8
8
8
8
8
4
4
4
0
16
16
16
16
16
2
2
8
8
16
16
16
16
16
16
4
4
4
4
4
4
8
0
0
0
0
2
2
2
2
2
16
2
0
0
0
0
0
4
4
8
8
8
0
0
0
0
0
0
0
0
0
8
8
8
8
1
1
16
4
8
8
8
1
16
16
8
8
16
16
16
16
4
16
16
8
8
8
8
12
12
8
8
24
0
0
0
0
0
16
16
0
0
0
0
0
0
0
16
16
16
16
16
32
8
8
8
8
4
4
0
0
8
8
8
8
32
32
8
16
0
8
8
8
8
8
8
8
8
8
16
8
0
32
32
0
0
8
8
8
8
4
2
8
8
4
16
16
4
4
4
4
4
0
8
8
8
8
8
8
8
8
8
8
8
8
0
8
2
4
0
0
0
0
0
0
1
1
1
1
8
4
4
4
24
0
0
1
1
1
0
8
16
8
8
16
16
4
4
4
8
8
0
0
8
12
2
16
2
1
4
0
8
8
8
8
0
8
8
3
3
16
16
16
16
16
0
0
0
0
16
4
4
0
2
2
2
2
10
2
2
8
32
32
32
32
32
32
32
32
32
16
16
8
8
32
16
0
8
8
8
0
16
0
0
16
8
8
8
1
4
4
8
0
0
16
1
1
4
4
4
4
4
8
0
0
16
16
16
16
1
1
16
1
20
8
8
8
8
8
16
8
4
4
4
4
1
1
1
1
1
4
4
4
4
4
4
1
1
8
8
8
0
4
8
8
8
0
0
0
29
4
4
0
16
0
8
8
8
24
4
1
4
4
1
1
0
1
16
16
16
16
16
16
0
0
0
0
0
2
8
0
9
1
17
16
1
8
16
2
2
18
16
16
8
8
8
8
8
8
0
0
0
0
0
0
1
1
1
8
4
8
8
0
4
4
8
8
16
8
32
32
32
8
8
8
8
8
8
8
0
0
8
8
8
0
16
16
16
8
8
8
8
48
48
1
8
2
2
0
4
0
0
8
8
16
16
0
0
0
0
0
1
16
1
8
8
8
8
0
19
8
16
0
0
0
0
16
8
8
1
1
1
8
8
8
8
8
8
16
16
16
8
0
0
0
4
4
4
4
16
4
8
16
45
8
8
8
16
16
16
16
16
4
4
8
8
8
8
8
8
8
8
16
8
8
8
8
0
2
2
2
2
8
8
8
8
2
1
0
0
8
8
0
0
1
1
8
8
16
4
20
20
20
16
16
16
2
2
2
8
8
8
8
8
8
2
2
8
40
32
8
8
0
0
0
2
4
4
2
16
16
16
14
16
4
8
8
16
2
2
2
24
16
16
16
16
8
2
8
8
16
16
16
16
16
2
16
8
8
8
8
6
2
2
2
2
0
16
16
16
16
2
2
4
4
4
4
8
8
8
8
8
8
16
32
2
2
2
2
2
2
2
8
8
16
24
24
8
24
8
8
4
16
16
16
8
8
8
8
8
16
16
16
2
1
8
0
0
0
20
20
8
8
12
8
8
8
16
0
4
4
4
4
0
16
16
16
4
16
16
16
4
1
1
2
8
8
8
8
8
8
8
2
2
2
2
3
8
0
0
8
8
8
17
0
0
0
0
0
0
8
8
0
8
16
16
8
8
8
0
12
4
4
4
4
8
8
8
8
18
0
1
5
1
8
0
1
0
16
16
16
16
8
8
8
8
8
16
16
4
16
17
0
10
10
4
0
0
2
2
8
8
8
8
8
8
8
8
40
18
48
16
8
24
16
16
16
16
16
8
8
32
0
8
8
8
8
8
8
8
16
2
8
8
8
9
8
1
9
8
16
0
8
8
4
4
4
4
4
8
8
8
2
2
8
16
16
16
16
2
2
2
0
0
16
8
8
8
8
8
16
16
2
8
0
2
2
2
2
2
2
0
0
0
0
1
0
16
16
16
16
16
0
4
4
4
4
0
0
16
16
16
0
4
8
8
8
1
1
1
1
1
1
1
1
1
8
8
8
17
17
8
8
1
1
2
0
4
8
16
8
8
16
16
8
24
8
8
8
8
0
0
16
4
0
0
8
8
0
16
16
8
4
8
8
8
8
8
4
4
4
4
4
4
4
4
4
0
0
8
8
8
8
8
16
8
8
8
2
2
2
0
16
16
16
16
16
16
16
16
16
8
8
8
8
8
8
8
16
16
16
16
1
1
0
0
8
8
8
0
0
2
2
2
1
2
8
0
16
16
16
8
8
8
8
8
12
8
0
16
16
16
49
49
8
8
8
7
0
0
1
1
1
16
16
4
16
16
0
1
1
1
1
1
1
4
4
4
4
5
40
16
24
24
16
16
4
4
26
26
16
16
16
1
1
1
1
1
26
1
16
0
0
16
16
16
0
0
36
8
4
16
8
8
8
24
8
8
8
1
1
8
8
8
32
32
8
8
8
8
8
8
1
1
16
2
8
16
16
16
1
2
2
16
16
16
16
4
20
20
20
0
48
4
4
4
4
4
4
32
4
16
8
8
8
8
1
1
1
1
1
1
1
1
0
0
32
0
0
4
0
24
0
16
16
0
4
4
8
16
16
2
2
0
0
8
8
8
8
8
8
1
1
1
1
16
16
16
16
16
16
16
16
4
4
8
8
8
8
1
1
4
28
4
0
8
17
16
1
8
8
8
8
8
8
8
8
8
16
16
16
16
16
8
8
8
8
48
2
1
1
1
1
1
4
8
8
8
4
4
4
4
4
1
1
1
1
0
0
16
16
8
8
8
8
8
8
8
8
1
8
16
16
16
0
16
16
16
8
8
0
17
17
8
4
4
4
4
0
0
16
4
20
16
0
0
34
4
0
0
8
8
0
0
0
4
4
4
4
4
4
8
8
0
0
0
16
16
16
16
8
16
16
1
24
24
0
16
16
0
8
8
8
15
2
4
1
32
32
32
8
8
8
4
4
4
4
4
4
8
8
0
16
0
16
0
16
16
2
2
8
8
8
8
8
8
8
1
1
1
1
8
32
32
32
32
8
8
8
8
0
0
0
0
0
8
8
8
8
8
8
0
0
0
8
0
0
0
0
2
2
2
2
2
16
16
4
16
40
56
2
2
2
2
2
8
8
16
16
16
16
32
32
4
4
10
8
8
16
16
6
16
16
16
16
16
16
2
2
7
1
1
8
8
8
8
8
8
17
0
3
2
16
16
16
8
8
25
8
0
16
32
16
0
0
0
16
4
0
16
16
13
8
4
8
0
1
4
4
4
4
8
8
8
25
1
8
8
8
32
32
32
32
16
16
16
8
16
4
4
2
6
6
4
4
4
8
8
0
0
2
2
2
2
8
2
8
8
8
8
8
0
0
47
47
8
8
8
8
4
12
4
2
2
2
16
16
16
16
16
16
8
8
8
16
16
16
0
16
16
16
4
4
4
4
24
16
8
25
25
25
0
0
8
8
8
8
56
24
8
8
0
8
16
16
16
8
8
8
8
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
1
1
4
4
4
4
8
8
5
16
1
5
5
2
5
4
0
16
16
16
0
0
0
0
0
20
0
0
8
16
8
8
8
8
4
4
1
1
1
1
1
1
0
0
16
16
0
4
8
0
0
0
0
8
8
8
8
8
8
8
8
8
8
4
20
12
2
16
8
8
8
8
8
8
8
0
8
8
1
1
8
1
1
8
16
16
16
0
2
2
2
4
4
4
16
16
24
24
1
8
8
8
8
8
4
16
8
8
8
8
8
8
8
8
1
0
0
8
8
8
8
8
8
8
8
0
0
32
32
8
16
16
8
0
4
4
4
0
0
0
16
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
8
8
0
16
16
0
0
0
24
0
16
16
9
9
1
0
0
0
0
0
4
4
4
4
4
0
8
8
8
8
8
8
8
0
0
0
2
8
8
8
8
0
8
8
8
8
8
8
16
24
8
8
8
0
0
0
0
4
4
8
8
8
10
8
8
8
24
8
0
0
16
16
16
16
16
8
16
0
1
0
0
8
8
8
8
16
2
16
4
16
16
16
1
1
1
1
0
2
1
1
4
8
8
8
8
0
1
1
1
17
32
40
32
32
32
32
32
32
32
32
32
32
32
32
32
32
1
16
8
8
8
8
0
8
8
8
8
1
1
33
8
8
0
0
25
27
2
0
0
0
1
1
1
1
1
1
0
0
8
8
2
2
2
2
8
8
8
8
8
8
8
8
8
28
8
8
8
8
0
0
8
8
8
8
48
8
8
8
8
8
8
8
8
8
8
8
20
8
16
8
8
24
16
16
1
8
8
8
8
8
32
32
4
4
4
4
8
8
16
16
16
16
16
16
16
16
16
0
0
4
4
4
16
16
16
16
16
16
16
16
16
0
0
8
8
8
8
8
1
1
8
8
4
4
4
4
4
0
0
9
20
4
12
12
12
8
8
16
13
13
13
1
1
1
1
8
8
8
8
8
8
8
8
8
4
8
2
2
8
4
22
0
0
32
8
8
16
16
16
16
8
8
8
8
8
8
8
8
8
8
8
16
8
8
8
0
48
16
8
8
8
8
8
8
8
4
4
4
4
4
4
4
2
16
56
16
16
16
1
8
1
1
8
12
8
8
8
0
4
4
4
1
1
1
1
32
32
32
24
2
8
8
8
8
8
8
8
8
8
4
4
2
2
4
16
16
16
16
16
16
16
8
16
18
8
8
8
8
8
8
8
8
8
0
0
28
28
0
16
16
1
18
16
16
2
8
16
16
16
16
16
16
8
8
8
8
8
4
4
16
16
16
24
16
16
14
16
8
24
0
4
4
4
4
0
0
0
0
16
16
16
37
1
1
1
1
1
1
1
1
8
8
8
8
8
8
8
25
8
8
16
16
16
0
8
7
7
7
4
4
4
8
8
4
4
4
8
8
16
16
10
10
10
8
8
8
16
16
16
16
16
16
0
1
0
0
8
2
4
4
4
4
4
1
8
8
40
40
0
8
8
8
16
1
16
16
16
32
32
32
8
16
24
16
1
1
1
2
4
4
16
16
16
16
8
8
1
1
2
2
8
2
2
2
8
8
0
0
0
0
16
16
0
4
4
4
4
4
16
8
8
8
8
16
16
16
16
32
32
16
16
16
8
1
8
8
8
0
8
8
40
0
0
16
16
2
2
0
0
8
0
0
0
16
16
16
16
8
4
0
8
8
0
0
8
20
20
2
3
2
2
2
2
16
16
5
1
1
1
2
2
0
0
1
20
4
8
1
1
1
1
4
2
4
4
4
4
4
4
8
8
0
0
0
8
1
1
1
1
1
1
0
0
16
0
0
8
8
8
8
8
16
16
16
8
8
32
4
4
8
0
0
0
0
0
0
0
8
1
1
8
8
0
2
16
18
18
0
1
8
8
24
8
8
8
8
0
1
1
8
16
24
24
0
0
0
0
16
16
16
8
8
8
6
6
3
3
1
0
0
2
2
2
2
8
8
8
16
24
16
0
0
0
16
16
8
8
0
16
16
8
0
32
32
8
8
8
30
30
30
2
2
16
16
12
8
26
6
6
6
32
4
4
4
8
8
8
8
8
16
16
16
16
0
1
1
8
4
12
0
0
0
0
8
8
2
8
0
25
8
8
8
8
8
8
8
16
28
32
41
41
41
41
41
1
16
16
16
4
4
4
1
1
16
16
16
16
8
8
16
0
0
8
8
4
8
8
8
8
24
24
24
24
24
8
8
8
8
8
8
16
16
16
16
16
16
16
16
16
16
0
0
8
8
16
16
16
16
16
16
16
16
16
16
16
16
16
16
32
32
32
17
17
16
17
16
8
8
17
17
17
24
16
16
16
16
8
0
0
41
41
4
4
16
16
8
2
10
2
2
16
16
12
12
8
8
8
24
8
8
8
8
8
4
4
16
24
16
16
8
8
8
8
4
4
4
0
4
4
4
24
8
8
8
16
0
8
8
8
0
8
8
8
24
20
20
1
1
8
8
16
38
16
8
8
8
8
8
0
0
0
0
0
0
12
12
4
4
4
4
4
4
8
8
8
28
29
8
8
18
0
24
8
8
16
16
16
18
16
16
40
40
8
16
16
16
16
0
16
16
4
1
2
2
16
0
16
0
16
0
0
16
16
16
0
0
1
1
1
4
2
2
2
2
2
1
1
1
8
8
32
32
32
16
0
2
2
2
2
2
2
0
0
8
8
8
8
8
1
8
16
16
0
16
0
8
8
8
0
0
8
0
0
0
16
16
8
8
2
2
2
2
8
8
8
8
0
8
8
8
10
10
10
8
0
32
32
32
32
32
4
4
4
4
1
1
1
1
17
1
16
1
1
4
20
4
4
4
0
16
16
16
2
2
2
0
4
4
0
0
0
16
16
16
0
0
0
8
8
16
16
8
8
16
16
16
16
16
16
16
8
24
24
32
48
8
8
8
8
8
8
16
16
16
16
16
4
16
24
8
16
1
16
17
1
0
4
4
0
8
16
16
8
8
8
1
1
8
8
1
16
8
20
8
8
8
2
2
2
2
16
8
8
8
32
1
16
8
0
0
8
8
8
8
2
1
0
8
8
8
8
16
8
8
8
8
8
8
8
8
8
8
8
2
1
0
4
8
8
8
0
16
2
0
4
8
6
6
6
1
8
8
8
2
18
2
8
8
8
8
8
4
4
4
0
0
4
0
0
8
8
4
0
0
1
8
20
16
8
16
16
4
4
0
0
0
0
0
0
0
16
0
8
4
8
16
0
16
16
16
16
0
8
8
32
0
0
16
16
16
16
16
16
16
16
16
8
8
8
8
16
16
16
16
16
16
16
16
16
16
16
32
16
16
16
16
16
8
0
8
8
8
20
4
16
8
24
8
16
0
2
0
4
16
8
8
8
0
16
16
16
16
4
4
8
8
8
8
16
16
16
16
16
16
16
16
16
16
16
8
0
1
16
0
8
8
8
8
8
8
8
8
2
2
8
40
40
32
32
32
2
34
34
34
34
34
34
34
34
1
1
12
4
4
8
8
8
8
8
40
8
8
0
8
0
4
4
4
4
4
16
16
16
8
8
24
0
0
16
16
16
4
4
8
8
8
8
8
8
0
16
16
4
8
4
6
4
16
8
16
16
16
16
16
2
18
23
8
8
16
16
16
16
16
1
1
1
2
0
0
0
8
8
8
8
8
12
12
8
8
24
24
24
24
16
16
0
8
8
16
0
0
4
1
24
25
25
25
25
25
25
1
1
1
1
1
1
1
8
8
8
8
8
8
32
36
16
8
8
8
24
8
48
16
16
16
16
16
16
16
16
16
8
4
4
4
4
16
4
8
32
8
8
8
4
4
4
4
8
0
0
4
16
1
32
32
32
0
0
0
0
0
0
0
0
34
16
16
24
16
8
8
2
2
2
8
16
16
8
8
8
8
48
48
48
16
16
16
16
16
16
1
0
0
0
0
33
33
33
8
8
16
16
32
0
0
0
0
16
32
32
32
32
0
8
8
8
16
16
32
16
16
16
16
16
16
16
32
16
16
16
8
8
8
2
8
8
8
4
16
4
4
4
8
8
8
8
8
8
2
16
16
24
16
16
16
16
4
16
2
2
2
2
2
2
2
4
6
4
6
4
32
32
1
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
1
1
0
0
5
4
4
16
4
8
0
0
0
16
0
8
8
8
8
8
8
0
8
8
18
18
18
6
8
8
8
8
8
8
8
8
4
4
4
4
5
4
8
8
8
8
16
4
4
4
4
4
4
12
4
8
12
12
8
8
2
2
8
8
40
16
0
33
16
32
32
4
4
36
4
4
4
4
4
4
4
4
8
8
8
0
2
0
0
0
0
0
0
8
8
22
22
17
5
5
0
17
4
4
4
18
18
18
16
8
8
1
8
1
0
0
9
9
9
9
9
8
4
8
32
8
8
14
8
1
16
8
8
32
32
32
32
32
32
32
32
32
8
4
8
0
8
8
8
8
8
16
16
16
1
1
4
4
4
4
0
8
8
8
8
8
8
8
8
8
8
8
24
4
0
8
8
8
8
4
4
16
48
8
1
1
1
1
0
8
8
26
2
2
16
1
1
1
1
1
1
1
16
1
9
16
16
8
8
52
16
16
4
4
4
4
12
8
16
24
8
16
16
8
8
12
12
8
8
8
0
8
16
8
8
8
8
24
4
4
4
4
0
0
16
16
16
16
16
16
16
16
20
8
8
16
0
2
2
2
2
8
8
8
8
8
8
8
0
0
16
12
4
4
0
2
0
1
1
0
16
2
2
0
0
16
16
16
0
48
0
8
1
2
32
32
32
32
16
32
2
2
2
2
2
2
2
2
2
0
0
0
0
2
1
1
0
2
2
8
8
8
8
8
8
8
8
8
32
32
8
8
8
8
16
4
1
1
1
8
8
8
4
4
8
8
8
8
8
8
8
8
8
16
0
16
16
8
8
4
4
4
4
4
8
8
16
0
16
16
16
16
16
1
10
1
27
0
16
2
4
4
4
16
16
16
16
16
16
16
16
16
16
16
0
0
1
32
32
0
8
8
8
32
32
22
22
28
28
28
16
8
8
8
16
16
16
16
8
8
16
16
0
0
16
16
16
16
16
32
32
32
32
32
8
8
8
8
8
2
18
8
8
8
8
16
16
0
0
0
16
8
8
8
8
8
16
16
4
4
4
20
20
20
20
9
1
4
4
4
26
16
4
16
16
16
8
8
15
8
7
8
8
1
1
1
1
1
1
24
17
17
16
0
8
8
8
8
0
8
4
4
2
2
2
2
16
16
16
8
8
8
8
16
1
1
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
6
0
0
32
32
32
16
56
0
48
8
0
16
16
16
0
4
4
4
4
8
10
2
2
2
1
0
40
32
0
0
26
26
0
0
0
0
0
0
2
2
2
2
8
8
8
8
4
4
0
8
24
0
0
8
8
12
8
1
8
16
0
4
4
4
4
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
8
8
8
8
16
16
16
16
16
16
4
16
16
16
8
8
8
24
8
8
8
16
16
8
8
12
0
0
0
16
16
16
16
16
0
0
8
8
8
8
16
16
8
8
8
16
12
0
0
16
16
16
8
4
4
20
2
16
16
8
0
0
1
1
32
32
32
16
32
32
8
16
48
16
8
1
4
4
8
8
8
8
0
0
0
0
0
0
8
4
12
1
8
32
4
8
2
2
16
16
16
0
4
4
4
1
1
16
12
20
4
8
8
8
8
8
12
16
16
16
8
16
16
1
17
8
8
16
4
20
16
0
8
16
16
8
1
1
16
16
16
0
24
24
16
0
4
4
4
4
4
4
8
8
8
0
0
16
8
8
8
8
8
8
8
8
8
8
0
16
16
1
1
1
1
1
0
4
4
8
8
8
4
4
4
0
0
0
0
0
16
8
16
8
0
0
8
24
16
16
16
16
8
8
2
2
16
4
8
16
16
0
16
16
0
0
0
0
0
0
4
4
4
4
24
8
8
16
16
16
16
16
9
16
16
16
1
16
8
9
8
8
8
4
4
16
1
0
32
32
32
8
8
2
1
0
0
2
2
2
2
2
8
8
16
16
16
16
16
16
16
16
1
0
8
16
16
16
16
16
4
0
0
8
1
1
1
1
1
8
8
8
0
8
8
4
16
8
4
4
4
0
4
2
2
2
2
0
0
0
0
32
32
32
24
24
2
2
8
0
20
20
16
14
4
0
0
24
2
2
2
2
8
8
8
40
40
32
16
48
16
0
16
16
0
0
24
8
16
16
16
16
8
8
12
16
0
0
0
0
0
0
8
8
8
8
0
0
0
0
8
8
18
24
16
32
0
0
16
16
0
16
16
16
16
16
1
1
0
0
8
26
8
8
0
16
2
2
2
4
4
4
4
16
16
0
0
8
8
21
2
2
16
8
8
16
16
16
16
16
16
16
41
16
10
8
8
0
8
8
8
8
8
8
8
0
8
8
0
8
16
16
16
10
10
4
4
4
4
8
8
0
0
24
0
1
1
1
20
8
1
32
1
1
1
1
1
32
8
4
4
4
4
4
4
8
8
8
8
10
1
1
1
32
0
0
16
16
2
2
2
2
1
1
1
1
1
2
1
1
8
5
4
4
4
32
32
32
32
32
32
4
0
4
4
4
4
4
4
4
8
0
4
4
4
6
16
16
2
18
2
8
8
8
4
8
8
1
9
4
4
16
16
0
8
4
2
0
0
12
8
8
12
16
18
16
16
16
16
8
8
8
8
8
8
8
8
48
16
16
2
3
0
24
24
16
8
8
8
8
8
8
4
1
2
2
2
4
8
8
8
36
24
8
8
16
0
4
1
17
17
16
0
16
8
0
0
8
32
1
32
8
8
8
0
0
0
16
16
16
12
16
0
0
0
0
24
16
16
2
2
2
2
2
2
0
20
20
20
20
20
20
8
8
0
0
16
16
16
16
16
16
16
16
16
9
16
16
0
0
32
32
32
32
32
5
5
16
16
16
1
1
1
0
0
0
0
4
4
4
4
16
16
8
16
24
24
1
1
1
17
8
8
8
10
8
8
4
4
4
4
16
16
16
8
8
8
8
16
4
4
4
32
0
0
0
48
56
48
48
16
0
0
8
8
16
32
32
48
48
6
6
6
6
0
0
0
0
1
9
1
1
1
1
8
2
2
8
0
8
8
8
24
8
16
4
4
8
8
16
16
4
32
32
32
32
32
1
1
1
8
8
8
53
52
1
0
0
0
4
16
16
16
2
0
0
8
8
8
8
8
9
16
0
16
24
8
8
16
8
8
41
41
1
0
0
0
8
8
8
8
8
8
8
8
8
8
48
32
8
8
8
8
8
8
8
8
8
16
16
0
4
4
4
8
8
0
6
4
4
4
0
0
4
6
4
4
16
1
1
0
8
8
0
16
16
8
2
18
16
18
18
8
0
16
8
32
1
0
16
16
0
0
32
32
0
8
0
8
8
1
1
20
2
8
16
16
8
8
8
8
32
32
8
8
8
16
16
8
8
8
0
16
16
0
0
2
2
2
16
16
16
16
4
4
8
0
0
0
0
2
2
2
2
8
8
8
8
8
8
16
16
4
0
0
16
16
16
16
16
24
24
8
0
18
18
4
4
4
12
4
8
5
4
16
4
0
8
1
1
0
8
4
12
8
8
0
8
8
16
0
0
0
16
8
8
2
16
18
2
2
2
6
6
0
5
5
5
48
16
8
32
32
32
32
32
32
32
32
32
0
16
4
8
8
0
8
8
1
1
8
8
8
8
0
16
16
1
16
16
16
16
16
32
32
32
24
24
25
25
0
8
8
8
0
53
1
1
1
4
4
4
0
0
0
8
8
8
12
8
1
1
2
2
2
1
16
16
16
16
16
16
0
16
16
16
8
16
40
8
32
0
16
16
40
8
8
8
8
8
8
8
2
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
16
16
16
16
25
0
8
1
9
8
8
8
8
8
8
16
16
16
16
0
0
24
16
8
40
40
40
40
0
0
16
17
4
5
8
40
1
1
8
8
4
4
4
4
8
8
8
16
16
0
16
16
16
16
16
0
16
0
0
0
0
16
16
16
8
4
4
4
8
16
28
8
24
8
8
8
8
8
8
16
8
4
4
4
8
8
0
16
2
6
8
8
8
8
8
8
8
0
8
8
8
8
0
8
8
8
8
8
1
1
17
8
1
8
8
0
4
20
20
4
32
0
16
0
2
2
8
32
32
1
8
16
16
16
16
0
0
16
4
0
8
8
8
0
0
0
0
0
0
1
1
1
1
16
16
16
4
20
0
4
4
4
0
0
16
16
16
16
16
16
16
16
16
8
8
8
8
8
16
24
4
20
2
0
0
16
16
16
4
16
8
8
8
8
0
0
16
1
8
8
16
8
8
8
22
8
2
4
4
4
4
4
2
2
2
2
8
8
16
2
2
2
4
4
4
4
8
8
8
0
26
8
8
8
8
8
8
8
1
1
1
4
4
4
8
4
4
4
4
4
4
4
2
2
2
32
32
4
32
8
8
8
2
8
12
0
0
0
8
0
8
8
8
0
16
16
8
0
0
8
24
8
24
24
24
24
24
16
16
4
16
16
16
20
4
4
8
8
8
0
2
2
2
16
24
24
8
8
8
16
8
8
8
0
0
0
0
4
4
37
37
0
0
0
16
16
16
16
16
16
20
12
8
8
8
1
16
0
16
24
16
16
16
16
8
10
8
24
24
0
2
2
2
56
8
16
16
24
16
16
16
16
16
0
0
0
0
0
8
8
8
8
8
4
16
16
0
0
4
1
8
8
8
8
8
8
36
36
36
36
6
6
6
6
0
0
16
16
16
8
24
8
8
9
8
8
1
0
12
8
16
16
16
16
0
1
8
8
8
8
8
1
1
9
0
0
4
4
16
8
8
0
0
0
0
32
32
32
2
2
2
8
4
4
4
6
16
16
16
4
0
0
0
16
16
16
16
16
16
16
4
20
4
20
16
2
18
16
8
16
8
8
8
0
0
0
2
2
2
16
16
1
1
0
0
0
8
8
16
16
16
8
1
1
1
1
32
32
32
4
8
8
16
8
8
8
16
24
16
16
8
16
8
8
8
16
10
8
8
16
8
8
8
8
0
2
2
1
16
16
16
16
2
2
2
16
8
8
4
8
8
1
24
1
1
8
0
8
8
8
8
0
0
0
0
0
0
8
8
8
8
8
8
8
8
9
8
8
8
8
8
8
0
0
0
0
16
16
8
8
8
8
25
8
8
8
8
16
16
8
8
8
8
8
8
0
8
8
4
1
8
34
8
34
42
8
8
1
1
1
1
8
4
8
8
0
0
0
8
8
8
8
8
8
8
8
16
2
8
8
16
16
32
32
32
32
32
32
16
32
32
32
32
32
32
32
32
32
32
32
32
32
0
4
4
8
8
8
8
16
16
16
0
0
16
16
16
16
4
4
0
0
0
0
24
8
8
16
18
16
16
16
24
16
0
0
0
8
8
8
16
16
20
8
0
0
0
32
32
16
16
16
16
8
8
16
16
16
0
0
0
0
2
2
2
4
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
2
2
0
32
32
32
32
0
0
0
16
8
8
1
2
0
0
8
8
8
8
8
32
32
0
8
8
8
8
8
8
1
8
41
4
4
4
32
32
32
32
4
4
4
0
16
16
16
0
8
8
20
24
16
16
16
0
1
1
0
8
8
8
4
4
4
0
8
8
8
8
8
0
0
0
0
16
16
16
0
0
17
17
12
17
8
8
8
8
4
4
2
4
4
4
4
8
0
16
16
8
8
1
3
8
8
0
0
0
0
16
4
1
4
4
4
4
24
16
4
8
8
8
8
8
0
8
16
0
28
8
16
16
8
4
4
4
4
4
4
4
16
4
0
4
8
4
4
8
8
40
8
8
8
4
0
16
16
16
1
1
16
16
16
0
0
0
0
8
8
8
17
16
8
16
0
4
4
4
4
4
4
2
2
16
16
0
0
8
2
1
16
16
8
9
1
8
8
8
4
4
4
9
8
8
8
8
0
4
4
4
4
4
4
4
2
16
16
16
16
8
4
4
8
8
1
32
4
0
4
4
4
4
4
4
8
8
24
32
8
8
4
4
4
4
4
0
0
0
0
0
0
4
4
4
4
8
8
8
8
8
16
2
2
2
18
1
1
1
2
2
0
16
16
8
16
16
16
1
1
1
1
1
1
0
0
11
9
9
8
2
8
8
8
8
8
0
8
8
4
4
4
24
24
4
4
0
0
0
0
0
4
16
2
2
32
32
8
8
8
1
0
0
0
0
0
4
4
8
8
24
8
0
32
32
8
8
8
2
2
2
2
2
2
16
2
2
16
24
24
16
1
8
2
8
8
8
12
8
8
8
8
0
16
16
24
24
10
10
20
20
16
16
8
8
16
16
16
16
16
8
8
8
8
12
16
16
16
16
8
8
1
8
9
40
0
0
16
16
16
24
24
24
8
16
0
0
12
12
12
8
1
1
8
16
16
16
4
2
2
2
2
16
0
8
0
16
0
0
0
8
8
16
0
0
0
0
0
0
0
0
0
0
0
8
16
12
48
16
1
8
9
8
8
8
8
16
17
17
0
8
8
8
8
8
8
8
4
8
0
4
4
8
8
8
8
8
8
8
2
16
16
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
0
6
32
6
4
4
4
8
4
4
16
16
16
20
20
20
0
0
2
16
8
8
16
0
24
24
28
24
16
16
4
16
4
4
20
4
0
8
8
32
32
32
32
32
32
32
8
8
8
8
2
2
8
8
24
8
8
8
8
8
8
8
8
8
16
8
8
0
0
16
16
16
16
24
0
8
8
24
4
4
4
16
16
32
32
24
0
8
8
8
4
4
4
0
0
0
0
0
8
8
33
4
0
0
0
0
5
8
8
8
4
4
0
16
16
16
9
1
2
17
1
4
16
16
8
8
8
1
16
16
16
8
8
8
8
8
8
8
8
0
0
0
8
8
4
20
20
8
16
16
16
16
16
16
16
16
16
16
16
6
8
1
1
0
8
16
12
4
8
8
0
16
16
16
32
0
16
16
8
9
8
8
8
8
4
4
4
8
8
24
8
8
4
0
0
0
0
2
16
16
16
0
0
0
0
24
24
8
8
8
2
16
16
8
0
8
16
16
0
4
12
8
8
8
8
16
4
4
16
16
16
8
8
8
4
4
4
16
8
24
8
8
8
8
8
8
8
8
8
0
8
8
8
8
8
8
8
8
28
28
28
24
0
0
32
2
2
2
2
16
16
1
0
16
16
24
8
8
24
1
1
33
1
16
16
16
2
8
8
8
8
4
16
6
6
4
8
8
8
8
0
8
8
2
12
12
12
0
2
2
2
16
4
32
4
4
4
4
4
16
1
4
8
24
8
0
0
0
16
16
2
2
2
2
8
8
16
2
0
16
16
16
16
18
1
1
1
1
1
1
1
1
16
1
8
1
9
8
4
4
0
16
8
0
0
0
0
32
8
1
1
1
1
1
0
0
0
0
16
16
16
8
8
8
8
8
0
25
25
25
8
8
8
8
1
2
2
2
2
2
24
16
16
16
8
8
1
10
8
8
8
8
16
32
32
8
8
8
8
0
0
0
8
8
8
8
8
8
8
2
2
2
2
2
4
12
1
1
1
1
1
9
1
8
1
8
8
8
16
16
16
16
40
40
40
20
8
8
8
8
8
8
8
8
8
8
8
24
16
8
8
16
8
1
1
1
16
16
16
16
2
2
8
8
8
8
1
17
16
16
4
4
9
1
2
2
8
8
8
8
8
1
1
8
8
8
0
4
4
16
16
16
16
8
8
8
8
8
8
25
25
25
25
8
0
0
0
1
32
33
32
4
4
0
32
32
32
0
34
34
34
34
34
34
4
4
16
8
8
4
0
0
0
8
8
16
16
16
16
8
8
0
16
16
16
16
16
16
16
0
0
8
8
1
1
1
1
1
1
0
0
0
4
8
4
4
12
16
16
16
1
8
8
24
8
8
8
0
0
0
2
2
8
2
8
8
8
8
8
1
1
16
16
0
8
8
8
8
8
8
8
8
17
8
8
2
0
0
0
0
0
2
2
8
8
12
1
16
16
16
16
24
20
16
16
32
1
24
8
8
0
1
24
8
24
16
1
1
0
0
8
8
8
16
16
16
16
8
8
8
8
16
16
16
17
1
1
1
1
1
0
48
8
8
16
16
16
16
16
56
56
56
8
8
49
8
8
57
49
57
1
0
0
20
20
16
16
1
1
8
8
4
4
4
4
8
12
12
4
14
8
0
0
16
16
5
21
0
0
0
4
24
8
24
0
0
0
1
2
2
2
2
0
4
4
4
4
4
4
0
8
8
8
0
16
24
24
26
58
24
24
24
24
24
0
1
4
8
8
8
16
16
0
4
4
14
4
8
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
16
2
2
9
9
9
9
0
4
4
4
0
0
0
16
16
8
8
8
8
4
20
4
4
1
1
1
16
24
16
16
28
16
16
0
0
0
0
0
8
8
8
18
0
0
0
16
16
8
48
8
8
2
2
2
2
0
0
16
16
8
4
24
24
24
16
16
20
16
16
16
16
16
2
2
8
8
0
0
16
16
16
4
4
4
4
17
1
8
8
8
0
16
16
16
8
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
8
8
8
16
16
8
8
8
0
0
8
8
14
4
4
16
16
8
8
8
0
0
0
0
0
0
0
32
32
32
2
2
2
8
8
8
24
24
0
16
16
16
0
8
1
16
8
24
0
8
8
8
16
8
8
4
4
0
16
4
4
0
0
0
16
1
17
17
0
16
16
16
16
16
16
16
0
0
0
1
16
1
24
24
0
0
0
0
8
16
16
16
4
4
4
16
16
16
16
8
8
8
0
8
8
12
4
4
0
2
16
16
16
13
8
8
8
13
13
4
4
4
4
4
0
0
0
8
16
16
32
32
32
32
16
16
16
16
16
4
21
4
8
8
4
4
8
8
8
0
0
3
0
4
4
4
4
8
12
4
4
4
4
4
4
4
4
0
20
0
16
24
24
8
8
8
4
0
8
2
2
1
0
0
0
0
2
0
8
8
0
1
1
1
8
9
1
8
9
9
9
8
8
8
1
1
1
16
16
1
1
1
1
1
1
16
16
8
8
8
8
2
2
2
2
8
17
1
1
1
1
1
8
8
4
4
4
0
3
19
45
8
8
8
16
16
8
28
0
16
16
0
0
32
12
8
4
2
8
8
16
12
8
0
1
32
32
16
16
16
48
16
4
4
4
4
24
8
8
8
8
8
0
0
0
8
1
2
16
16
16
16
16
16
8
0
8
8
0
8
8
18
18
18
8
16
16
16
16
16
0
0
0
0
16
0
8
8
8
8
8
8
16
8
8
8
8
16
16
0
8
8
8
8
16
0
0
0
0
1
1
1
1
1
0
0
1
1
1
1
1
16
16
16
16
8
8
8
4
4
4
8
8
8
16
8
8
3
0
0
0
2
2
2
2
8
16
16
8
24
24
16
32
32
32
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
16
48
16
16
4
0
0
0
8
8
60
60
60
16
8
8
8
24
24
16
16
16
1
1
1
0
0
0
8
52
52
17
16
1
8
8
8
0
16
0
0
0
8
8
32
32
1
1
1
16
16
16
16
4
4
4
16
16
4
0
8
8
8
8
16
24
8
8
4
4
4
4
56
56
56
8
8
8
8
8
8
8
16
0
2
1
2
1
1
1
1
16
16
16
16
16
24
24
24
16
16
8
4
4
1
8
8
8
4
4
1
1
1
4
4
8
8
0
0
16
16
16
16
0
16
1
1
0
0
1
1
16
8
24
0
8
8
8
8
8
4
4
4
4
0
1
16
8
1
8
8
1
1
1
1
0
0
8
8
8
8
8
16
32
56
4
4
4
4
4
4
4
4
8
4
40
40
8
8
8
16
0
15
15
1
1
1
8
8
0
8
8
8
4
4
4
16
0
8
8
8
8
8
8
8
1
0
12
8
16
1
10
16
32
12
12
12
12
12
12
8
4
16
4
16
4
4
4
20
4
4
40
8
8
16
0
8
8
41
16
16
16
0
0
16
16
16
16
16
16
16
22
22
22
22
16
16
16
48
16
16
16
16
2
2
28
28
28
0
8
1
16
8
0
0
0
0
32
8
8
8
8
8
0
16
16
0
0
16
32
8
8
4
32
40
16
16
16
16
0
0
33
33
8
8
10
8
10
0
0
16
16
8
16
16
16
18
16
16
16
16
16
8
9
1
0
34
32
32
32
32
32
8
8
8
8
8
8
8
8
2
16
16
4
16
16
16
4
4
8
4
32
32
0
0
0
0
2
2
8
8
8
16
8
9
2
2
2
0
16
16
16
16
16
16
16
8
8
16
16
16
8
24
24
24
8
8
8
1
32
8
8
8
8
8
8
0
0
16
16
16
16
16
16
16
16
0
4
8
12
0
18
8
16
16
16
18
8
4
8
0
8
1
8
16
16
32
32
4
8
8
1
1
1
0
25
16
8
16
1
16
4
4
4
4
4
0
8
0
8
1
16
16
24
8
8
16
8
2
1
2
10
2
16
16
1
1
1
1
1
1
1
0
0
0
0
19
4
4
4
0
8
8
0
0
0
33
33
33
33
33
8
4
4
4
4
4
8
8
16
16
16
16
8
8
8
8
8
1
1
1
1
1
1
16
16
20
8
8
8
4
0
32
1
1
1
24
8
8
8
8
12
17
16
16
2
6
6
6
16
16
16
16
44
4
4
8
8
0
0
0
8
12
12
12
2
2
2
0
1
1
1
1
1
1
1
1
41
1
1
1
1
16
16
16
16
16
16
16
0
44
16
12
8
4
24
0
8
8
0
8
8
24
24
24
12
8
0
1
8
16
16
4
4
16
16
16
16
16
16
16
16
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
8
8
0
8
8
16
16
16
16
16
16
16
16
16
16
16
16
8
8
8
8
8
0
18
18
8
0
0
0
8
8
8
2
8
0
8
16
8
0
0
4
4
4
4
48
24
16
32
8
8
8
8
4
4
4
2
8
16
2
8
8
8
0
8
8
0
16
2
2
2
0
0
0
4
4
4
2
2
8
8
0
16
1
16
10
0
4
4
4
4
8
8
8
8
1
1
8
8
8
8
8
0
16
16
8
16
16
16
16
16
16
16
16
16
8
8
0
32
32
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
16
16
16
16
0
32
32
32
32
32
32
4
2
16
16
16
2
1
8
22
22
16
16
16
8
8
16
16
16
16
0
0
0
0
0
0
16
16
16
16
16
16
16
16
4
16
20
4
4
50
50
50
50
50
8
8
8
1
1
1
0
0
0
0
8
8
8
0
0
8
8
8
0
8
8
0
0
0
8
0
0
0
8
8
8
8
8
16
16
0
32
32
8
16
1
16
16
16
4
16
16
27
27
8
8
8
8
8
0
0
0
20
0
0
0
16
16
16
8
8
8
8
0
0
18
18
4
0
4
4
4
8
8
8
8
4
4
0
0
8
8
8
16
8
0
0
12
8
12
8
8
8
4
8
8
24
24
2
2
2
6
0
0
8
8
8
1
1
16
16
16
1
1
1
8
26
8
8
8
8
8
16
16
16
16
0
0
0
8
8
8
8
12
3
25
16
16
16
16
16
16
16
0
0
0
16
0
0
4
20
4
0
0
4
40
40
16
16
16
8
8
8
8
8
4
4
8
0
0
0
8
8
0
8
8
0
1
1
8
8
4
4
16
24
24
24
24
24
8
8
1
8
0
8
8
8
16
16
15
2
8
8
24
24
24
24
0
8
8
0
8
2
2
2
25
27
16
16
8
8
4
16
16
16
16
16
16
16
16
16
4
8
0
8
8
8
8
8
4
4
8
8
4
0
0
8
8
8
8
8
8
16
16
16
1
1
1
8
8
1
1
3
16
0
0
0
0
8
1
2
8
12
8
8
8
8
8
8
16
16
16
24
24
4
8
8
8
0
0
8
8
12
16
16
16
16
8
8
8
20
4
8
0
0
0
0
0
1
8
8
8
8
8
8
16
0
0
10
8
8
8
8
16
16
16
16
4
12
0
0
0
8
8
0
8
8
1
0
16
4
16
16
16
16
16
16
8
8
8
8
8
2
2
2
16
8
8
8
0
4
2
4
4
1
8
16
2
2
2
0
6
6
4
0
8
8
8
8
8
4
32
32
4
4
4
4
0
0
0
8
8
0
1
1
1
1
16
8
8
8
32
32
0
0
0
0
8
0
1
0
0
3
12
12
12
8
4
12
16
8
16
16
16
16
16
16
16
16
16
16
8
8
8
8
8
0
0
0
48
16
16
12
12
12
2
8
16
8
8
8
33
32
32
32
0
0
8
8
8
20
16
16
16
16
16
16
16
16
16
16
16
16
16
8
8
8
8
8
8
8
8
4
4
8
8
0
0
16
16
0
1
16
4
4
2
16
8
0
0
1
1
0
8
32
32
32
12
8
8
0
0
0
32
35
35
32
3
24
8
8
16
8
0
0
4
2
2
1
1
1
1
1
1
8
8
8
36
52
8
36
25
25
25
8
8
8
8
16
16
16
16
8
32
32
32
32
32
32
32
32
32
32
32
32
32
32
32
8
16
16
2
8
8
5
0
8
25
16
16
28
16
16
16
8
8
8
0
8
8
8
8
16
16
8
8
8
8
8
0
0
0
0
0
8
8
8
8
8
4
4
4
0
16
0
16
16
16
16
0
0
1
1
8
2
2
4
4
4
2
16
18
1
8
8
1
0
4
12
4
4
4
4
4
4
8
8
4
4
4
4
4
4
4
24
8
16
16
16
16
16
16
2
17
1
1
16
18
18
18
2
2
2
2
2
2
2
2
2
2
2
12
8
4
0
1
16
17
0
8
32
1
1
0
16
0
4
4
4
4
16
16
4
1
8
9
8
8
16
0
33
8
4
16
16
0
8
8
4
16
1
1
4
1
16
48
32
1
1
1
1
0
1
8
8
8
24
24
0
0
0
32
32
32
32
32
32
32
16
0
8
8
16
0
27
2
2
4
4
8
16
16
16
16
16
0
0
0
16
16
16
8
8
8
16
0
2
2
2
2
2
2
0
8
8
8
2
8
0
0
8
16
16
16
16
9
9
9
8
8
8
5
16
16
8
8
8
0
0
0
0
12
12
12
12
0
24
16
16
0
8
8
0
0
8
8
8
8
8
0
16
16
16
16
17
16
0
0
0
8
4
8
8
8
16
8
8
24
24
32
32
1
1
1
8
0
16
16
9
8
8
10
8
16
16
16
8
8
24
24
28
0
2
16
8
8
8
8
8
8
16
16
0
0
0
2
2
8
8
8
16
16
16
4
4
4
4
4
4
17
16
1
8
8
8
8
4
4
4
8
24
0
28
16
16
16
16
8
8
8
0
0
0
16
8
8
8
1
1
8
16
16
8
0
0
0
20
20
4
9
8
8
8
8
16
16
16
16
16
8
0
24
24
24
16
1
16
16
16
16
24
24
6
6
0
2
2
4
4
16
16
4
4
4
4
16
0
0
16
16
0
0
0
1
1
8
8
8
8
8
3
1
8
8
8
1
1
8
8
16
16
16
16
16
16
16
16
0
0
4
4
4
4
4
8
8
8
0
0
0
16
16
16
16
18
18
8
0
8
1
1
1
1
8
8
8
4
1
0
1
8
24
1
5
8
4
1
1
0
0
4
24
28
0
0
4
4
4
4
4
4
8
0
8
8
8
8
8
16
16
24
1
17
16
4
4
32
32
32
32
32
0
16
16
8
8
8
8
16
2
20
5
4
8
8
16
8
8
8
8
2
8
8
8
8
16
2
8
8
8
8
4
8
0
2
6
8
8
8
8
8
8
0
16
16
16
2
2
2
16
16
24
24
24
24
24
32
32
8
0
8
24
8
16
24
4
4
4
8
8
8
4
20
20
8
8
8
4
4
4
4
4
4
4
4
4
8
8
0
0
0
0
0
16
8
8
8
8
8
8
8
8
0
0
8
17
16
16
16
0
0
16
16
16
2
2
2
2
18
18
18
16
16
0
0
1
1
1
8
8
4
20
20
8
16
32
32
32
16
4
16
0
0
4
4
8
8
8
8
8
16
0
0
16
16
16
16
16
16
2
2
16
4
32
4
16
16
16
4
16
16
4
4
4
12
4
4
1
2
0
0
0
0
8
8
8
8
4
4
4
4
8
8
8
8
8
8
8
8
18
24
8
1
2
2
16
16
16
16
16
16
16
16
16
16
16
16
16
0
0
32
24
8
16
16
16
16
16
16
16
1
3
1
1
1
1
1
16
16
16
16
16
8
24
24
24
8
8
8
8
8
8
8
8
8
8
8
8
2
4
8
8
8
32
8
8
2
4
4
2
2
3
0
0
4
38
4
4
16
16
0
32
0
4
4
0
16
16
16
26
26
26
1
1
1
0
0
16
40
8
8
8
0
16
16
8
8
8
8
8
16
8
8
8
8
24
8
8
4
4
4
4
16
16
16
16
8
8
8
8
8
4
4
4
4
16
0
8
8
8
10
8
8
4
1
1
1
16
16
16
16
16
0
1
1
1
4
4
8
8
16
16
16
0
0
0
8
8
8
8
8
16
8
8
2
2
1
1
1
1
8
8
8
8
0
0
0
0
0
2
16
16
16
16
16
4
4
4
16
16
16
8
8
8
8
8
8
8
16
2
2
2
16
2
2
2
2
8
0
2
2
16
2
4
8
8
32
8
8
1
8
8
8
8
8
8
8
4
12
4
4
8
8
8
1
1
1
0
32
32
32
32
32
32
5
5
13
13
8
8
8
16
16
16
4
4
4
2
16
16
16
1
32
34
16
16
1
17
8
8
8
0
0
8
18
18
18
8
8
8
8
8
2
2
1
2
0
8
8
8
8
8
8
0
16
16
16
16
8
16
2
2
2
2
2
26
26
2
16
8
0
0
16
16
16
16
0
16
16
16
8
0
0
0
0
1
16
1
1
1
1
1
1
2
2
8
18
16
16
18
16
4
1
2
2
2
2
2
16
16
1
8
8
8
8
8
8
4
4
8
8
8
4
32
32
32
20
20
16
1
8
8
8
8
8
8
19
19
1
4
4
4
4
16
4
4
0
0
8
8
8
8
8
8
0
0
0
0
9
8
8
8
0
4
4
4
8
8
8
0
0
14
0
0
0
8
8
8
0
33
32
32
32
16
8
8
8
40
16
16
16
16
1
1
1
8
8
32
1
2
2
2
2
32
32
32
32
0
8
0
0
8
8
0
0
8
8
8
8
0
16
16
0
0
1
1
8
8
4
8
8
8
8
2
0
4
4
4
8
24
8
16
16
16
16
2
18
2
0
32
16
20
8
8
16
16
9
1
8
8
8
4
32
32
32
40
8
8
20
8
8
6
4
4
4
16
16
8
8
60
4
20
20
20
0
0
0
12
12
2
2
8
8
8
2
4
8
8
8
8
8
8
4
4
8
8
8
12
16
8
16
26
8
8
8
8
8
8
8
8
8
16
16
16
8
8
8
8
24
0
0
0
0
48
16
16
32
32
48
48
16
16
16
16
0
8
8
0
0
2
2
8
16
0
8
8
4
8
4
16
16
16
17
16
16
16
16
32
0
2
2
1
1
16
16
16
16
32
8
8
8
24
8
8
0
8
24
24
8
8
8
8
8
0
16
16
16
16
8
8
24
8
8
4
4
4
8
4
4
4
16
20
16
24
0
8
8
8
8
8
16
16
16
34
0
0
32
32
32
32
0
16
16
16
16
16
16
20
8
16
16
16
16
8
8
20
20
0
16
16
16
16
4
12
12
12
12
4
1
1
8
10
0
0
0
8
8
5
8
8
8
8
24
0
0
26
10
16
8
8
16
8
8
8
8
8
24
0
8
8
8
16
8
0
0
8
9
16
16
16
16
6
32
4
2
2
32
32
32
32
32
32
0
16
8
0
0
8
8
2
2
32
32
12
12
8
8
8
24
4
8
8
16
16
16
1
16
16
16
16
16
16
1
1
1
1
1
29
24
24
2
2
0
16
17
16
8
56
16
16
16
16
24
8
24
24
16
16
16
18
16
16
16
0
0
16
9
17
1
0
0
0
0
0
4
16
16
16
8
8
8
8
2
2
2
0
0
0
6
6
6
6
32
32
32
32
16
8
4
0
0
0
0
0
8
16
17
16
16
16
0
0
16
8
16
16
16
16
16
16
16
0
0
0
0
8
8
16
16
16
8
0
0
0
8
8
8
2
4
0
0
8
8
8
8
44
8
8
8
8
16
16
4
4
4
4
4
8
1
3
1
1
1
2
3
1
8
24
16
2
2
2
2
2
2
2
2
1
1
1
1
2
2
2
0
0
1
12
12
0
0
0
0
0
0
0
0
16
10
16
16
16
16
0
16
16
16
16
16
8
0
0
8
8
2
8
12
8
8
8
4
4
16
16
16
8
1
1
1
16
16
16
8
8
1
8
0
0
16
16
16
4
4
4
4
8
8
16
16
16
16
4
4
4
0
0
8
8
8
1
16
16
0
0
4
4
4
4
4
0
0
8
1
1
1
0
0
8
1
1
16
16
16
16
24
4
8
0
24
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
8
8
8
8
8
16
28
0
24
24
24
24
1
24
24
24
24
24
24
24
24
24
24
8
16
16
16
16
16
4
4
4
4
4
2
2
8
4
1
21
16
0
4
4
0
16
16
16
16
16
16
33
16
8
34
4
8
8
28
28
32
1
1
1
21
4
2
0
8
0
8
2
0
0
4
4
4
4
4
4
4
4
4
4
4
8
8
8
8
8
8
0
0
8
8
8
8
16
16
16
0
8
8
8
8
8
0
0
0
0
0
0
0
0
6
1
0
16
0
0
48
48
18
18
18
2
2
8
0
8
8
8
4
4
4
4
4
24
16
0
0
4
4
4
4
4
4
28
8
0
0
8
8
8
8
8
8
8
8
8
8
8
8
0
8
8
8
8
16
16
0
1
1
16
17
8
12
8
8
8
48
32
24
56
56
56
4
4
4
4
4
4
40
40
40
1
16
8
16
8
8
16
16
1
1
8
8
8
8
8
1
1
1
8
8
0
0
0
0
0
0
2
2
2
2
0
32
8
8
32
32
32
32
8
4
4
4
8
8
8
18
8
8
16
16
16
16
16
32
32
32
32
32
32
0
0
0
0
4
4
16
8
8
16
16
32
16
1
1
1
8
4
12
4
4
4
4
8
8
8
16
16
8
4
4
10
10
8
8
8
8
16
16
8
16
16
8
8
8
8
8
8
16
16
16
16
16
0
0
0
0
0
0
4
4
4
8
0
0
0
0
0
20
16
16
16
16
16
16
16
16
16
16
16
0
0
32
32
16
32
1
16
32
32
32
32
32
32
0
8
8
8
1
5
1
1
0
8
8
0
0
0
0
24
24
8
8
8
0
4
4
2
4
4
4
4
4
16
8
8
22
22
22
22
22
22
2
10
2
0
16
20
12
8
8
2
2
4
4
4
4
4
4
16
16
16
16
0
0
2
2
2
2
3
16
0
12
12
4
4
4
8
4
20
20
4
4
8
8
4
0
12
28
2
2
2
6
2
2
0
8
8
8
8
0
0
8
8
8
16
8
8
8
8
16
16
8
17
16
16
16
16
16
16
24
16
16
16
16
1
16
16
16
16
16
52
0
0
12
12
8
8
8
8
0
8
8
24
24
25
1
0
4
4
0
8
8
8
8
16
16
8
8
16
8
8
8
56
56
8
8
8
8
16
4
4
4
4
4
4
4
8
8
8
8
0
4
4
4
4
4
16
16
0
2
16
16
16
16
0
16
10
8
8
8
16
16
16
16
16
16
16
16
16
16
16
8
8
8
8
8
0
10
16
32
2
2
2
0
0
32
32
32
32
8
8
8
16
1
8
1
1
16
16
4
6
2
2
2
8
8
8
0
0
24
8
16
1
16
16
16
16
16
0
0
1
1
1
1
0
0
0
16
16
0
48
16
16
2
3
2
2
2
2
48
48
48
8
4
4
4
0
16
8
8
4
8
16
16
16
16
16
1
0
0
0
0
16
16
16
16
16
40
16
16
0
8
8
8
16
16
4
4
4
40
40
24
8
16
16
8
8
8
8
8
0
8
0
8
8
8
16
16
4
4
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
2
2
2
2
0
0
1
1
0
2
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
1
1
1
1
1
1
1
0
0
9
1
24
24
24
24
16
16
16
16
16
4
14
4
1
1
8
24
8
8
8
8
0
1
8
8
0
8
8
8
0
0
16
2
2
2
2
32
32
8
40
16
24
16
16
16
1
2
2
16
32
32
32
8
0
51
8
8
8
8
8
8
16
42
8
8
2
8
1
8
8
4
4
0
8
0
0
4
4
1
12
12
12
4
4
4
4
4
4
4
4
4
4
1
1
1
1
8
16
16
2
16
8
20
4
6
6
6
6
16
0
24
24
24
24
8
10
16
2
8
16
16
16
16
0
8
2
8
0
0
0
0
8
0
16
16
12
12
12
8
0
8
0
8
0
24
8
8
8
8
8
4
4
16
16
16
16
16
39
39
16
16
16
8
4
0
1
1
3
1
0
8
16
16
1
26
0
0
48
32
16
4
16
8
8
8
0
0
16
16
0
4
4
4
4
0
8
0
16
8
0
0
0
8
8
8
16
4
20
0
4
4
8
8
16
2
4
16
4
16
16
16
8
8
12
16
2
16
2
2
2
2
8
8
8
8
32
8
1
8
8
8
8
8
2
2
2
16
8
8
8
8
8
8
1
1
1
0
8
8
8
4
0
0
0
0
0
0
8
8
8
16
30
30
4
26
2
16
16
0
8
2
2
2
2
8
8
8
8
24
12
52
52
8
4
8
8
8
16
8
8
8
8
16
8
8
8
42
8
12
8
0
0
0
8
8
8
0
0
8
8
8
8
8
25
16
2
8
16
24
0
0
0
0
8
8
16
16
16
16
0
0
3
3
2
16
0
0
1
1
9
1
8
1
5
0
0
0
0
0
0
0
8
8
8
8
0
12
8
8
17
16
20
20
20
16
16
16
8
16
4
8
8
16
16
16
16
16
0
1
1
24
8
16
24
16
16
16
0
4
2
4
4
4
0
2
2
2
2
2
0
0
0
8
8
8
40
8
0
1
16
24
0
0
8
8
8
8
8
0
0
1
1
2
1
0
1
16
56
24
16
16
16
4
4
4
8
16
2
12
8
8
16
16
16
16
16
16
16
16
45
45
8
8
0
18
34
34
0
8
8
32
32
32
16
0
0
0
8
8
8
8
8
8
16
16
16
16
16
8
16
32
24
8
1
36
36
36
0
0
16
1
1
1
32
8
16
16
16
16
0
20
20
8
1
1
9
1
1
1
1
8
8
0
12
8
8
8
16
16
12
16
16
16
16
16
0
0
4
4
4
4
4
0
0
8
8
17
16
8
8
8
8
8
32
32
0
16
16
16
16
16
16
14
8
8
8
4
0
0
16
24
16
8
8
16
4
8
8
8
0
16
16
16
16
16
24
24
8
8
8
8
8
4
4
4
0
0
20
20
20
0
17
0
0
8
2
8
0
0
16
2
2
2
2
0
0
0
2
16
16
16
16
16
16
16
16
16
16
16
8
8
8
8
2
2
2
0
0
2
4
4
4
0
24
16
16
8
8
4
4
16
0
1
16
16
4
16
9
56
8
4
4
4
4
16
4
0
8
8
24
16
4
4
0
19
1
16
24
24
32
1
33
33
8
16
8
8
8
16
16
0
0
0
0
56
8
8
56
4
1
16
16
0
0
2
2
2
2
2
0
0
0
8
8
8
0
0
12
8
0
0
0
0
0
0
16
4
8
8
4
12
4
4
4
8
2
2
16
4
4
4
4
4
4
4
4
4
4
4
4
4
24
8
16
0
0
0
16
4
4
8
8
8
8
16
16
9
8
8
8
8
4
16
16
16
16
16
16
8
4
4
4
4
4
4
4
0
0
16
16
8
1
1
17
1
8
8
8
16
4
4
2
8
8
4
4
8
4
32
32
32
32
2
2
2
8
2
2
2
2
0
0
8
34
4
4
4
4
9
16
4
20
20
16
16
56
24
0
4
32
16
8
1
16
16
16
16
12
12
56
56
4
4
17
17
17
17
17
2
2
2
2
2
2
8
8
8
4
32
32
16
1
8
8
2
2
2
0
8
8
8
8
32
8
56
16
8
8
8
8
8
8
8
8
8
17
16
16
16
0
16
1
16
1
16
17
1
16
8
24
0
1
1
8
8
2
2
16
2
2
2
2
0
16
16
20
16
16
0
8
8
8
32
8
8
8
32
32
32
32
1
1
1
8
12
1
1
0
0
4
4
16
4
4
7
15
4
16
16
16
16
16
16
16
2
2
0
0
8
8
8
8
8
8
21
24
24
24
24
24
34
34
34
34
34
8
8
8
8
8
8
8
8
8
16
16
8
0
24
24
24
24
24
8
8
16
0
0
16
16
8
0
0
0
16
0
0
16
16
16
32
32
32
0
9
4
13
13
13
8
8
8
8
8
24
16
16
16
16
16
16
8
8
1
1
1
16
16
2
0
0
0
16
16
8
1
0
4
4
4
4
4
4
4
4
4
4
4
4
4
8
8
16
8
0
4
8
0
8
8
8
8
40
16
8
8
8
16
2
4
22
18
18
18
2
16
0
8
2
16
0
2
2
8
8
8
8
8
8
16
16
32
32
16
0
8
8
8
8
8
4
4
16
16
1
16
45
0
2
2
2
16
20
8
16
16
56
8
16
16
16
16
16
16
4
4
12
4
4
16
16
16
16
16
16
16
16
4
12
16
16
4
8
0
16
16
16
16
0
16
8
8
8
43
32
4
4
16
16
16
0
0
0
8
24
12
12
12
12
12
12
12
1
1
1
16
49
1
1
1
0
9
9
9
24
24
24
24
1
1
8
8
8
8
9
8
16
16
1
1
7
7
7
7
7
7
8
16
16
8
8
8
8
24
8
8
8
16
0
0
1
1
16
1
32
32
32
32
32
40
1
1
1
1
1
1
1
1
16
16
16
48
16
12
12
8
8
8
2
16
2
2
16
19
0
0
0
0
0
0
16
8
0
48
8
8
12
12
25
8
8
24
16
1
1
1
16
16
8
8
4
2
8
8
2
8
0
0
0
0
0
0
16
16
16
16
16
0
1
1
1
1
1
8
9
16
16
16
16
0
0
0
8
8
8
8
8
4
2
8
8
8
8
8
1
16
8
8
4
0
2
2
8
0
0
4
4
4
18
18
16
16
16
0
0
0
0
16
16
0
0
8
32
40
0
0
0
0
8
8
0
2
16
8
16
16
16
16
16
16
32
32
8
4
4
2
8
16
16
16
16
8
2
2
2
2
2
2
2
8
8
8
1
43
32
32
32
32
7
2
0
16
2
2
2
0
1
8
8
8
8
8
8
16
16
0
8
8
8
32
4
36
4
4
4
9
0
24
24
16
4
2
3
2
0
0
0
0
32
2
2
2
2
2
2
2
2
2
2
1
2
8
8
0
8
16
8
16
16
32
32
32
32
32
41
41
1
1
1
1
8
24
8
8
16
8
8
8
8
8
8
0
0
32
32
32
32
32
16
16
16
16
0
0
8
8
8
8
8
16
0
0
32
32
32
32
0
24
4
4
6
6
6
8
8
8
8
8
0
0
0
8
8
8
8
8
16
16
0
16
16
16
16
16
16
16
16
8
4
16
16
16
16
2
2
8
8
12
16
4
4
4
4
4
4
3
3
3
0
0
0
0
2
2
2
2
2
8
16
16
1
1
0
4
2
6
4
20
16
4
16
16
16
16
16
4
2
2
2
0
0
1
5
4
0
0
8
8
27
27
8
8
8
8
16
16
12
8
8
0
0
0
16
16
16
16
16
25
8
8
8
8
0
4
2
2
16
8
8
8
8
0
8
8
0
1
27
27
27
27
27
27
8
8
2
10
18
8
16
10
8
8
0
0
8
0
4
4
4
8
16
16
24
1
16
16
16
0
8
8
16
16
16
16
16
16
0
1
1
12
8
0
1
1
1
1
8
8
8
20
16
16
8
8
17
17
16
16
0
0
6
8
8
8
16
0
16
20
2
2
0
0
0
0
0
8
8
8
8
26
26
0
4
4
4
0
0
0
4
4
0
0
2
2
2
4
16
16
16
16
16
16
16
16
1
1
34
50
50
20
20
0
16
16
16
16
16
0
0
0
0
8
8
8
60
60
60
60
8
16
16
16
16
8
4
4
24
24
0
0
0
0
0
2
8
8
8
20
0
0
1
1
1
1
1
16
16
16
16
16
16
32
32
32
4
22
16
10
10
14
16
8
8
8
2
16
16
16
16
16
0
4
12
16
16
16
0
16
16
16
1
1
0
0
0
0
0
8
18
2
0
8
8
8
0
16
16
16
16
0
0
1
1
1
1
16
16
16
16
16
16
8
8
0
0
0
4
4
0
0
0
0
0
8
1
1
1
8
1
8
4
8
8
40
8
1
1
1
6
6
0
16
16
4
4
16
16
8
0
0
16
16
32
16
8
8
8
8
8
8
16
16
16
16
16
16
16
32
8
8
24
22
5
5
8
0
0
20
8
16
2
2
2
8
8
8
8
8
8
8
8
8
0
8
8
8
8
8
1
1
2
16
0
0
0
8
6
14
8
8
8
2
32
32
32
32
32
32
32
16
16
16
16
16
16
16
16
8
8
8
8
8
8
8
25
25
8
8
8
32
0
0
0
8
8
8
4
4
8
8
16
16
16
0
8
16
16
8
16
16
16
2
2
4
2
4
4
4
8
4
16
1
1
48
60
4
4
0
8
0
16
8
0
16
8
8
8
8
8
8
24
24
4
16
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
16
16
16
16
8
8
8
1
1
8
33
1
1
1
1
8
2
0
2
2
8
40
32
8
8
8
8
8
8
8
8
8
1
1
1
2
2
2
16
16
16
16
16
16
16
4
4
4
8
8
8
0
16
16
16
16
16
16
4
4
4
16
16
16
2
8
2
8
2
2
2
2
2
2
8
8
8
8
8
8
16
16
16
0
8
8
2
2
2
2
0
16
8
8
8
1
12
16
16
16
16
4
0
8
8
8
8
16
0
0
0
8
8
8
8
16
16
16
0
32
0
0
0
0
0
0
4
4
8
8
0
16
16
16
1
1
0
1
1
8
16
16
16
16
16
16
8
8
2
8
40
8
2
2
2
4
1
0
1
0
2
2
6
2
6
4
32
32
0
16
16
16
0
0
0
32
32
8
16
16
0
0
8
8
16
2
50
50
16
4
0
0
0
16
16
18
16
16
0
16
16
16
0
1
1
8
16
16
2
2
2
8
8
8
0
0
0
0
2
1
1
8
8
0
0
2
16
4
4
28
0
16
16
16
16
16
8
8
0
32
32
32
16
16
16
16
8
8
8
8
8
8
2
2
16
32
4
4
0
2
2
8
8
1
32
8
2
2
2
8
8
28
28
16
16
20
32
16
32
32
8
8
8
8
0
0
0
0
0
8
8
8
2
0
16
16
16
16
16
16
16
16
16
0
0
0
32
32
32
32
32
8
8
8
16
16
0
0
2
2
18
18
2
0
0
0
16
16
24
8
8
2
0
8
8
8
8
1
4
4
4
4
4
4
4
4
8
2
1
1
1
1
16
1
16
16
16
16
16
0
0
0
4
4
4
4
16
16
16
8
8
0
0
0
8
8
2
2
16
0
17
17
13
0
8
0
0
0
4
4
20
16
2
2
2
0
0
6
6
6
8
0
8
16
24
4
29
29
29
29
29
12
8
8
4
16
16
16
24
24
16
8
8
16
16
16
0
8
4
16
1
8
0
0
8
8
8
8
8
8
8
16
16
4
4
0
4
0
0
0
1
0
16
16
16
16
16
16
16
6
0
0
0
0
8
8
8
36
36
4
8
8
8
8
8
8
8
4
52
52
0
0
24
24
8
8
8
16
16
16
9
17
24
4
4
4
4
4
16
16
16
16
4
16
0
16
16
16
32
8
8
8
0
16
16
16
16
16
16
16
16
16
16
16
16
0
16
16
24
0
16
17
17
17
1
0
0
0
0
0
0
0
8
8
0
0
0
0
2
2
2
2
0
8
12
0
0
0
1
2
2
32
32
0
7
16
16
16
16
16
8
0
0
1
0
0
0
16
16
16
16
0
4
20
4
4
4
8
1
1
16
16
8
8
8
8
8
0
0
0
0
16
8
0
17
8
1
16
16
16
16
8
16
16
0
0
0
0
0
0
0
28
0
1
1
8
8
8
8
2
2
8
4
4
8
8
8
8
8
8
2
4
4
4
4
0
1
1
8
8
1
1
1
1
8
2
8
8
8
48
8
16
16
16
16
16
8
8
8
32
16
24
8
8
0
0
8
36
1
1
16
1
1
0
0
0
0
8
8
8
8
8
24
8
8
8
0
0
0
0
0
0
0
8
8
8
8
32
0
16
16
0
0
8
32
0
4
4
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
36
0
0
4
24
8
16
16
8
8
1
8
8
8
8
8
8
8
0
0
0
0
16
16
16
0
8
0
0
8
8
8
16
1
1
1
1
2
8
10
16
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
0
8
8
8
8
16
16
16
0
0
1
1
0
0
0
0
8
8
8
8
8
1
8
40
40
40
8
4
4
0
0
0
0
0
8
8
4
8
16
28
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
8
8
24
8
16
12
1
0
20
16
0
0
4
4
16
16
16
16
16
0
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
32
8
8
8
8
0
0
16
8
8
8
0
8
8
8
1
1
1
1
1
1
1
5
5
5
4
4
4
18
0
1
1
1
1
0
8
8
0
17
17
1
16
16
16
8
8
8
2
2
2
8
8
8
8
8
16
8
16
24
0
0
8
16
8
8
8
8
8
8
12
12
0
2
2
2
2
2
2
2
2
4
32
32
4
8
16
16
16
16
0
0
16
20
16
8
40
8
16
8
8
2
2
8
8
1
0
0
8
8
8
16
16
8
25
25
25
25
25
8
0
0
16
0
0
0
0
0
0
0
0
0
0
0
4
16
4
4
4
8
4
8
12
8
20
1
32
8
8
8
8
8
8
8
8
8
0
24
16
24
8
8
8
8
16
16
16
16
16
0
8
8
8
8
4
32
8
24
8
16
8
8
2
0
0
0
0
0
20
20
4
4
4
16
16
16
16
8
0
0
0
0
0
0
0
24
8
8
8
12
12
12
12
12
12
0
2
8
8
8
16
16
8
1
16
16
16
19
16
20
8
2
2
4
6
16
16
10
2
2
1
1
1
1
1
1
8
8
16
4
16
16
18
8
8
4
8
8
8
8
8
0
8
1
2
0
0
0
0
0
0
0
0
8
8
8
8
16
24
8
8
0
0
0
24
24
24
24
24
24
8
4
4
0
2
2
8
4
4
4
4
4
4
8
16
4
20
16
4
2
2
24
16
16
16
16
0
8
8
4
4
8
2
3
8
8
8
8
0
32
32
32
0
16
16
16
16
16
25
12
4
8
12
12
12
12
0
0
0
32
8
1
1
1
24
8
8
8
8
8
8
8
2
2
32
32
32
32
32
32
8
8
8
4
8
8
24
24
8
8
0
0
4
16
16
16
0
16
16
16
4
2
6
6
4
8
32
8
8
1
4
0
8
0
0
0
0
28
12
12
12
8
8
13
8
8
8
8
8
8
4
6
16
3
3
3
3
3
3
8
8
8
8
12
12
8
1
1
8
8
8
56
8
0
0
0
0
16
24
8
8
8
10
8
8
8
0
8
8
17
57
17
4
4
4
0
16
16
8
8
8
8
16
5
21
16
16
16
0
0
4
4
4
4
12
4
4
4
4
4
3
3
8
8
32
32
0
0
20
16
16
16
16
12
4
0
0
1
26
18
8
16
8
8
8
8
16
8
8
8
0
0
8
8
8
16
16
16
16
16
16
16
8
16
0
0
0
28
8
0
0
0
0
0
0
0
0
16
16
16
16
8
16
16
16
10
10
10
10
10
8
52
0
0
2
2
20
1
8
8
8
8
16
8
8
24
8
8
8
8
8
12
8
8
8
0
0
0
8
16
16
16
9
9
16
16
8
16
8
8
32
32
32
16
8
32
32
32
32
32
32
32
32
32
32
32
32
32
8
24
16
16
16
4
16
4
4
4
4
4
6
16
16
16
8
32
4
1
16
9
8
8
8
0
47
8
8
16
52
52
5
1
41
16
16
16
1
0
9
8
8
8
8
8
8
8
32
32
32
0
0
0
8
4
8
8
8
0
16
16
16
16
16
8
8
8
0
1
1
28
28
8
8
8
8
8
8
8
8
0
0
1
1
1
8
8
0
0
40
8
4
8
16
8
8
24
0
0
0
0
0
0
0
0
24
4
8
16
4
8
8
8
8
8
32
34
0
8
4
18
18
8
0
8
16
8
9
8
8
8
16
16
0
8
8
8
12
8
8
16
1
2
3
16
16
20
4
1
4
1
4
4
8
24
24
24
33
32
1
8
8
8
16
16
16
16
8
24
2
0
24
24
24
24
16
16
16
16
16
16
16
16
0
0
16
16
8
16
16
16
0
2
16
18
18
16
17
16
24
24
2
2
4
4
4
32
32
8
40
8
16
0
0
8
4
2
4
4
4
4
4
4
8
20
20
16
16
8
8
8
8
8
8
4
4
4
20
16
16
16
6
6
6
4
16
16
16
16
16
16
16
16
16
16
35
16
8
24
20
4
16
2
2
2
8
16
16
24
24
24
24
1
32
1
8
8
8
8
8
8
8
8
16
0
0
17
17
17
17
0
0
0
0
16
16
16
8
16
8
8
8
8
8
0
0
8
0
0
0
0
20
20
19
19
19
0
16
16
1
1
1
8
16
16
12
12
4
0
0
8
2
17
16
1
0
16
16
16
16
32
32
32
32
0
0
16
22
22
48
16
24
2
4
4
4
4
4
4
4
4
2
2
2
2
2
32
32
32
8
8
8
8
0
12
8
8
8
8
8
0
0
16
0
16
0
8
0
4
32
8
16
0
2
8
16
16
26
16
16
8
8
8
28
1
1
1
1
1
1
1
9
32
32
0
0
16
16
16
24
16
16
16
24
24
16
8
0
0
0
4
4
4
4
4
4
4
8
2
1
1
0
8
16
2
2
2
0
8
8
8
8
2
2
2
2
4
4
0
4
4
4
4
4
0
16
2
34
16
16
16
16
0
2
2
2
4
8
8
8
8
8
8
4
4
4
4
8
0
8
8
8
8
8
8
8
4
11
8
8
8
0
4
4
0
16
9
8
8
8
8
8
8
12
1
8
2
2
2
0
0
0
16
16
1
1
2
0
0
0
0
0
0
0
17
17
17
16
0
3
3
21
0
24
24
0
0
0
16
16
16
16
16
16
1
1
0
16
16
1
1
1
8
8
8
4
0
0
8
8
16
8
32
32
2
16
16
4
8
8
16
16
16
0
0
0
8
8
8
8
8
16
16
16
16
16
16
16
16
16
16
16
16
16
0
4
4
2
2
8
24
24
8
8
8
8
8
8
0
2
16
8
0
0
8
0
0
10
10
8
8
16
0
1
17
17
0
16
8
1
12
12
12
12
12
16
2
1
1
16
16
16
2
2
2
16
8
0
0
4
4
8
1
4
8
8
8
8
8
4
8
0
0
28
28
28
17
17
0
1
1
18
32
8
6
4
4
4
4
0
0
0
8
8
4
8
16
16
16
0
0
0
0
0
0
0
24
8
8
4
4
4
0
8
0
32
1
1
1
16
16
16
16
16
16
16
16
16
16
0
8
8
8
16
24
24
16
16
16
16
2
2
8
0
1
1
1
1
0
8
16
16
0
1
2
0
8
8
1
1
1
8
12
12
16
8
49
1
8
32
32
2
8
8
8
8
8
0
8
16
16
16
16
16
16
16
16
16
4
0
0
16
16
1
1
16
24
24
0
0
16
16
8
16
16
16
16
16
16
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
16
0
13
0
8
16
16
16
16
16
0
1
1
0
24
24
4
4
4
4
4
4
16
16
16
16
16
16
8
8
0
4
4
4
4
8
8
0
0
0
0
0
0
0
24
16
16
16
16
16
0
16
8
8
0
0
8
8
8
4
54
16
20
16
8
1
0
42
8
0
0
5
1
1
8
41
1
1
1
16
2
2
2
8
8
4
4
4
0
16
16
16
8
1
9
4
4
4
4
8
8
4
4
6
4
16
0
0
2
33
32
32
8
24
16
16
16
16
16
1
1
8
8
8
8
28
4
4
4
4
4
4
4
8
8
8
8
8
8
8
8
1
1
8
8
0
20
8
8
8
8
1
1
0
8
8
8
8
8
1
1
0
2
2
2
0
16
16
16
8
16
8
8
8
1
1
1
1
0
4
4
4
4
8
8
3
3
3
3
3
4
4
4
4
8
8
8
0
0
0
0
0
16
16
16
16
48
48
8
8
8
8
0
0
2
4
6
6
6
6
0
0
32
32
32
32
32
8
24
24
16
16
16
16
16
8
8
8
16
16
39
39
2
8
16
8
4
8
8
16
36
16
16
0
0
8
8
16
0
0
16
1
8
8
8
8
8
1
8
8
8
8
8
1
1
8
4
1
8
8
0
16
16
16
16
32
32
32
32
0
4
4
0
0
0
0
0
0
16
1
1
1
0
8
8
8
8
1
8
0
16
1
16
16
16
0
1
1
8
8
4
4
4
4
4
4
4
4
4
8
4
0
16
24
24
8
24
2
2
0
0
0
0
16
1
0
0
0
0
16
16
8
16
16
32
4
32
32
32
24
24
24
24
16
4
4
0
8
0
0
16
0
16
16
2
2
2
12
12
0
16
16
16
16
16
24
16
2
2
2
18
2
8
8
8
8
8
0
4
4
4
4
16
17
17
17
16
8
8
32
32
32
32
32
0
0
8
8
8
0
8
8
19
8
8
4
4
4
4
4
4
4
4
4
0
16
16
8
8
56
8
8
40
0
0
24
16
16
16
16
16
16
16
0
12
2
16
18
0
40
40
40
40
40
8
16
16
16
16
16
32
0
8
8
28
16
8
16
16
16
0
4
4
4
8
8
8
0
0
0
4
4
4
16
16
16
16
16
8
4
4
0
24
24
0
0
16
16
16
16
0
0
0
0
0
0
0
0
8
4
12
4
4
8
28
8
8
8
8
8
8
8
40
32
8
8
8
8
8
0
8
24
8
0
16
16
16
16
16
16
16
16
0
16
16
16
22
22
1
1
17
1
0
8
8
4
8
8
8
8
8
8
8
8
8
8
8
4
4
50
16
16
16
16
0
4
16
20
16
16
16
48
16
16
16
8
0
0
4
6
4
8
1
0
26
26
16
16
8
16
2
16
16
0
0
8
10
2
2
17
17
17
17
16
16
16
0
8
8
8
8
4
4
4
8
4
4
4
16
16
16
16
2
8
35
43
4
4
8
2
8
8
32
32
8
8
8
8
16
8
8
8
8
8
8
8
8
8
8
12
8
1
1
16
16
16
0
16
8
8
32
16
16
16
16
16
16
8
4
16
28
16
16
16
16
16
24
8
8
16
0
2
2
2
2
2
2
2
2
2
0
0
8
8
16
16
5
16
32
16
8
4
4
0
8
8
8
8
8
8
16
16
16
16
0
0
1
20
16
16
1
1
16
1
8
16
4
4
12
1
0
8
8
8
8
8
8
0
16
16
16
8
8
8
16
16
11
8
0
0
0
0
0
0
0
16
16
8
8
24
8
1
0
0
0
0
2
2
2
1
1
1
1
8
1
52
16
16
56
32
2
18
2
0
0
8
8
8
1
1
0
0
8
0
8
8
8
16
16
32
8
8
8
20
20
20
8
28
4
0
16
16
16
0
0
49
1
0
0
0
4
4
4
4
16
0
16
16
8
8
16
16
16
16
16
16
16
16
16
16
16
16
16
0
0
16
16
24
8
8
8
8
16
16
16
2
2
2
2
0
0
0
1
1
8
4
8
12
12
12
8
16
4
4
4
4
24
16
16
8
8
4
4
20
20
16
16
16
16
12
16
28
28
16
0
4
16
16
16
16
16
0
0
0
0
16
24
8
8
8
1
1
1
24
24
60
60
16
2
2
4
32
24
0
0
24
16
16
16
16
16
16
16
16
16
16
16
16
0
18
18
18
18
18
13
16
8
2
2
16
1
16
8
16
16
4
4
8
8
8
0
16
16
16
16
16
8
8
8
8
24
24
16
16
16
0
16
2
0
16
16
8
1
2
8
8
1
8
1
0
2
2
8
8
8
24
8
8
16
9
41
1
1
1
1
1
1
1
0
8
0
8
8
8
8
8
16
16
16
16
8
24
0
1
1
1
1
1
8
8
1
16
16
0
8
8
8
24
16
16
16
16
4
4
2
2
4
5
0
36
8
8
8
8
8
4
4
4
1
3
1
1
1
1
0
0
8
8
10
8
20
20
20
20
20
8
16
0
8
8
0
0
16
4
0
0
0
18
4
16
8
8
8
0
8
8
8
8
8
8
8
8
0
24
24
24
24
24
24
24
16
16
16
16
16
16
16
0
2
2
17
17
8
8
8
8
8
8
8
16
8
4
4
4
0
8
24
0
8
4
1
0
0
41
2
8
16
16
16
16
16
16
16
8
8
0
1
16
16
16
16
16
16
32
0
16
24
24
24
24
1
16
16
4
4
4
8
9
22
22
22
8
2
2
1
1
1
4
4
8
8
8
8
8
1
1
24
0
0
0
8
8
8
8
16
8
16
16
16
8
8
4
12
4
16
8
16
16
1
1
1
1
28
16
28
8
28
0
0
16
16
16
2
4
2
8
8
8
1
5
1
1
1
1
1
1
4
4
0
16
8
16
16
16
16
16
16
16
16
1
1
1
1
2
4
8
1
1
1
4
4
8
8
8
8
8
8
16
32
32
8
0
0
0
8
8
8
8
0
8
8
16
24
24
24
24
24
16
16
16
48
16
16
16
16
16
1
4
4
0
0
9
1
1
1
0
0
1
8
8
8
8
0
0
16
16
0
8
8
8
8
8
2
16
16
16
16
16
18
16
2
8
8
8
8
8
8
8
8
16
16
16
16
16
0
8
16
16
16
16
0
8
8
32
32
32
16
16
16
16
16
0
16
16
16
0
4
4
0
4
4
0
8
8
8
8
14
16
20
1
1
8
4
4
4
4
2
4
2
8
8
8
16
22
16
16
16
0
0
1
16
16
16
16
0
24
1
25
16
8
1
1
1
4
4
4
4
4
4
9
4
4
4
4
0
24
16
16
0
4
4
0
32
32
32
32
8
0
4
4
0
4
4
1
0
0
24
24
24
2
24
2
8
8
8
8
10
8
8
8
0
0
40
40
41
8
0
2
2
1
8
1
1
16
16
16
33
33
8
8
8
8
8
8
8
0
0
8
8
32
0
8
0
8
16
16
2
4
32
16
8
8
8
8
8
8
8
24
8
0
16
0
56
1
4
0
16
32
16
8
16
16
16
16
16
16
8
20
0
8
0
0
8
4
4
20
2
16
16
16
24
24
8
8
8
8
8
8
48
32
32
32
16
2
4
6
6
8
8
8
8
8
8
10
16
16
2
2
8
8
8
8
16
16
16
0
8
8
8
8
1
1
1
16
8
0
0
8
16
4
20
12
4
0
32
32
32
32
4
4
4
4
0
0
1
13
8
4
4
4
4
4
4
4
4
4
0
16
16
8
8
8
8
8
8
16
8
8
8
2
8
12
12
4
4
4
4
0
25
25
0
8
8
4
0
4
16
0
8
8
8
8
8
16
8
16
24
24
0
0
0
16
16
8
8
16
0
0
8
8
8
16
8
8
8
20
20
16
16
8
16
16
16
16
8
8
16
16
16
16
0
0
0
16
16
16
16
8
8
2
16
16
16
16
0
0
0
0
2
8
10
8
4
4
4
32
34
34
34
34
34
34
8
16
4
28
16
16
16
16
16
8
16
8
24
8
24
8
8
16
0
2
2
2
0
0
8
8
10
8
8
8
32
8
8
16
8
8
8
12
8
0
0
0
0
0
2
8
16
24
40
40
8
8
8
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
16
2
2
2
2
2
2
0
0
0
16
16
0
0
4
28
16
8
24
24
8
8
8
0
0
20
20
20
8
8
0
0
0
0
1
17
8
5
8
8
24
24
24
16
16
16
32
32
32
32
18
8
8
8
8
4
8
8
8
8
8
8
4
0
0
1
16
16
0
32
32
32
32
32
32
32
32
32
32
32
32
4
4
4
4
2
0
4
4
4
8
8
8
8
8
8
8
16
16
16
8
8
0
8
0
8
16
32
0
8
8
16
8
2
2
2
2
2
1
1
1
24
24
4
32
17
49
49
48
0
4
16
16
8
8
2
2
34
34
8
8
8
8
8
8
8
8
8
8
0
4
4
2
2
2
1
16
17
2
0
0
1
1
1
8
32
32
32
32
32
16
16
16
16
16
1
1
4
1
1
0
0
8
32
8
0
0
0
8
8
8
8
8
8
8
8
8
16
16
16
8
8
8
8
8
20
20
20
20
20
4
4
56
24
1
2
28
8
0
0
0
0
8
8
9
16
0
24
16
16
16
0
0
0
16
16
1
16
17
24
16
16
16
0
0
0
8
13
8
9
9
10
0
1
12
12
12
0
16
16
16
16
20
20
16
16
16
0
0
1
1
1
1
0
0
0
1
1
1
1
0
0
8
4
4
12
14
2
2
2
2
2
4
2
2
8
8
8
16
16
0
1
1
1
1
1
1
17
1
4
1
0
0
0
8
8
8
8
16
8
8
16
32
32
32
32
32
16
16
16
16
16
16
16
16
0
16
16
16
8
8
8
1
8
16
16
16
16
32
2
0
0
0
0
16
16
16
16
0
0
0
8
8
8
8
8
8
0
0
0
16
8
8
8
8
8
8
16
16
4
10
10
2
8
0
2
16
16
16
16
16
16
16
8
24
24
12
12
12
8
8
8
20
16
16
16
16
16
16
8
0
1
1
0
8
8
8
1
1
1
8
16
16
4
8
12
0
0
8
0
2
2
8
8
16
32
32
32
4
0
0
0
0
8
8
8
8
0
8
8
8
4
8
0
4
4
16
32
1
1
1
8
8
1
2
0
0
0
8
8
8
8
8
2
2
2
2
2
2
4
5
4
16
16
16
16
16
16
16
16
32
8
8
4
16
16
16
12
0
0
0
0
8
8
8
0
0
0
4
4
8
4
8
8
1
1
16
8
9
16
16
16
16
16
0
0
0
1
1
0
0
0
16
16
16
16
16
0
8
28
28
16
8
8
8
8
2
2
2
2
16
16
4
4
32
32
32
8
8
8
8
8
8
8
8
4
8
12
16
16
8
8
12
12
8
12
8
16
40
16
16
16
16
0
0
16
16
16
16
16
0
16
16
2
2
4
4
8
8
8
1
1
1
1
1
0
4
32
2
2
24
24
24
13
13
1
1
1
0
0
0
8
32
32
8
8
8
8
1
49
8
0
0
0
0
0
8
8
8
1
1
4
16
10
0
0
17
16
0
16
16
19
2
2
2
2
16
16
16
1
0
0
0
0
4
4
4
4
4
20
8
8
8
8
8
8
8
2
0
1
16
16
2
4
0
0
0
0
0
4
12
12
12
8
8
8
8
8
8
8
8
8
8
0
0
4
4
4
18
1
0
8
8
8
8
16
8
8
4
4
8
8
8
8
1
1
1
2
8
8
16
16
16
32
32
2
16
4
16
3
1
16
32
8
1
1
1
16
0
0
0
18
18
36
8
0
0
0
0
16
16
16
16
16
16
16
8
8
17
16
0
16
16
8
8
8
8
8
8
8
0
8
9
8
9
1
32
8
20
24
24
24
24
24
24
16
61
61
61
8
0
0
0
8
8
8
8
8
2
4
4
4
8
32
32
32
8
8
8
8
0
0
16
16
8
28
28
28
28
28
32
8
8
8
8
8
8
8
16
16
16
16
0
0
0
4
8
8
4
4
8
8
8
8
10
8
8
0
0
16
16
16
5
2
2
8
2
8
2
8
41
32
8
8
16
16
16
16
8
24
8
16
8
24
8
2
2
16
16
16
16
8
8
8
8
10
8
8
8
8
8
8
16
8
24
8
16
16
24
8
8
16
16
16
16
16
2
2
16
16
44
20
16
16
16
0
0
0
16
16
0
0
16
8
35
35
35
8
8
8
16
16
4
8
4
12
4
8
8
8
8
12
16
16
16
16
8
8
8
4
2
4
4
8
8
8
8
0
16
16
16
2
8
8
8
8
16
16
4
8
40
8
32
16
0
16
4
8
12
0
8
2
8
8
16
16
8
16
8
8
8
8
4
4
16
16
16
16
16
4
4
4
16
16
16
2
16
32
2
2
4
4
4
6
16
16
16
16
16
4
4
1
9
1
8
8
8
8
8
4
32
16
16
16
16
32
32
32
1
8
8
8
4
4
4
8
8
8
0
16
16
16
16
16
16
0
0
4
4
0
0
8
40
8
8
16
1
8
16
0
0
8
8
8
8
8
0
0
0
0
16
16
16
16
16
16
16
0
0
8
0
0
0
4
8
8
8
8
8
8
8
8
8
8
8
8
8
9
8
8
8
0
0
0
0
9
8
16
16
16
16
16
16
0
48
0
2
2
2
0
0
0
8
24
24
24
16
16
2
2
2
2
2
2
2
0
32
32
32
16
0
8
8
8
0
16
16
8
8
4
4
4
1
1
1
3
1
3
6
4
4
16
16
16
16
16
8
8
8
0
8
8
8
8
8
0
0
4
4
54
20
20
16
16
8
0
16
48
0
0
32
16
8
8
4
4
4
4
8
16
16
16
8
2
2
2
8
8
8
8
8
8
8
8
28
16
16
16
16
16
16
0
8
8
8
1
1
0
8
8
8
0
4
4
8
8
8
8
1
32
32
8
16
16
16
4
4
4
4
16
16
16
4
16
0
0
8
8
8
28
16
16
16
2
2
2
8
16
16
1
8
9
9
9
4
4
8
8
8
8
8
8
16
16
16
8
8
12
12
12
12
1
4
4
4
4
4
4
16
16
16
16
16
8
24
24
2
2
16
16
16
16
16
8
8
8
0
4
0
0
2
2
2
2
2
0
8
8
16
16
16
8
8
8
8
8
8
8
4
4
8
8
2
2
2
2
2
16
16
16
8
8
8
8
8
8
0
0
0
0
0
0
4
4
4
16
0
0
0
0
32
8
8
8
24
0
4
16
16
8
8
32
8
8
8
0
16
16
8
24
4
28
28
4
4
0
0
1
4
4
4
16
16
0
1
1
8
8
8
8
8
8
8
8
16
8
2
4
4
4
4
4
8
8
2
0
8
8
8
16
24
8
8
8
0
0
26
16
1
1
8
8
8
0
8
0
16
17
16
1
16
16
16
16
16
16
16
0
8
8
12
12
12
12
0
24
16
16
24
16
16
8
8
8
8
8
8
0
8
8
8
17
1
1
8
20
0
16
16
2
8
8
8
8
16
4
4
4
4
4
4
4
4
4
8
4
4
4
4
8
8
4
4
4
0
0
0
0
0
0
2
2
6
16
8
8
8
8
8
8
8
8
8
16
16
33
10
8
8
8
8
8
8
12
56
8
0
48
16
16
16
9
0
0
0
0
8
8
8
16
16
16
18
2
16
16
16
16
17
16
24
24
24
24
8
8
8
8
44
8
8
0
8
8
24
16
24
8
0
0
0
16
16
0
33
16
16
16
0
0
0
0
0
8
8
4
16
8
8
8
8
8
4
16
8
4
8
8
1
16
17
17
17
8
4
4
0
2
2
1
1
1
1
8
16
16
16
16
16
16
16
16
16
20
16
16
16
16
16
16
0
4
4
4
4
2
2
16
16
16
8
16
8
16
16
16
16
8
8
8
8
8
8
8
1
1
1
8
8
8
8
0
0
0
0
0
0
32
32
32
0
16
16
16
8
8
8
8
8
8
8
16
0
16
1
1
22
16
16
0
24
24
0
2
16
4
2
2
0
0
0
0
16
0
8
8
8
8
2
2
2
0
0
4
8
8
8
8
8
8
1
1
0
0
0
4
4
4
0
8
8
8
8
8
8
0
0
0
0
8
0
16
8
8
8
4
4
1
2
2
2
0
8
16
16
16
0
0
0
0
16
16
16
20
16
16
24
24
24
24
24
24
0
0
32
8
8
8
1
24
8
8
8
16
28
24
16
28
16
32
0
0
0
8
12
8
8
8
0
16
16
16
16
16
16
16
16
0
0
8
8
8
0
0
0
0
0
0
4
4
16
16
16
0
8
8
8
8
8
10
8
8
8
16
16
24
16
16
4
16
2
2
2
2
2
2
8
8
8
8
16
16
8
8
8
8
4
33
1
2
8
8
8
8
8
8
8
8
8
8
4
24
8
40
8
24
26
24
16
8
8
16
0
0
0
0
0
2
8
4
4
8
0
0
40
24
16
16
2
2
2
2
0
2
4
0
0
8
8
1
3
3
1
1
1
4
4
8
8
8
8
8
4
8
40
40
8
8
8
16
16
17
1
1
1
1
0
25
8
0
16
8
8
8
8
8
8
4
4
4
4
4
4
4
4
40
40
40
8
16
4
4
8
0
0
8
8
8
12
12
16
16
16
0
8
0
0
1
1
1
1
1
8
8
16
8
8
8
8
16
16
16
8
4
4
1
1
8
8
8
8
8
8
0
0
8
8
8
8
1
0
8
8
0
1
8
8
8
8
32
32
32
32
32
32
32
32
32
0
0
16
16
16
9
8
8
2
2
2
2
8
16
16
16
16
40
36
36
16
36
8
8
8
24
16
16
16
16
12
12
12
24
24
24
24
16
8
0
8
8
16
9
2
2
2
2
8
8
8
9
4
8
16
16
0
0
0
8
16
16
4
4
32
32
0
0
8
9
10
8
8
4
25
16
0
0
8
8
32
32
32
4
0
0
0
0
18
0
0
0
0
0
32
8
8
8
2
8
2
2
2
4
1
8
8
32
48
48
8
16
24
0
4
40
32
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
0
8
2
2
28
28
28
28
4
4
4
4
8
8
0
0
0
2
1
25
1
1
1
8
28
48
48
48
48
0
0
16
16
16
16
0
32
16
16
0
12
4
8
8
8
8
20
2
4
4
4
8
8
8
8
8
8
0
0
0
8
8
8
8
8
8
16
8
8
8
8
16
12
12
8
8
16
4
18
16
0
0
17
16
16
1
24
2
8
8
8
8
8
8
12
12
8
16
8
8
16
16
16
4
32
4
2
2
2
2
2
8
8
8
8
8
8
18
18
16
16
8
8
8
8
8
8
8
8
8
8
8
16
16
16
16
16
16
16
16
16
8
8
8
8
8
8
16
16
24
16
16
16
20
20
16
8
8
8
6
6
6
6
6
16
0
0
0
8
16
8
8
8
16
16
16
16
16
16
4
4
4
4
4
1
1
1
1
1
8
8
0
16
16
16
16
16
1
1
1
1
4
4
0
0
0
50
54
8
8
8
8
8
16
16
16
4
24
0
0
0
32
32
32
32
0
0
6
6
1
1
8
8
0
16
16
16
16
16
16
16
8
24
4
4
4
1
16
16
16
26
26
26
18
8
16
16
16
16
8
16
4
4
8
8
8
8
8
13
13
12
1
13
8
8
8
1
1
0
0
0
0
0
0
0
16
4
56
16
32
8
8
16
16
16
16
16
16
16
16
16
42
0
16
16
16
16
16
4
8
0
0
0
0
0
8
12
17
1
33
1
1
1
2
2
2
16
0
16
48
16
16
16
8
0
0
8
16
16
16
3
16
3
8
8
8
8
8
4
4
4
4
8
8
8
8
24
41
0
8
8
0
4
20
4
16
8
8
24
29
16
4
16
0
8
8
16
16
16
16
0
8
16
16
16
8
8
8
8
8
32
32
32
32
32
32
8
8
2
2
2
8
8
8
8
8
0
12
12
0
0
0
8
8
8
8
8
8
0
8
12
12
8
8
4
8
8
11
1
8
8
8
0
4
8
8
8
8
8
4
4
8
8
4
4
4
0
4
4
4
4
4
4
4
4
1
1
1
16
10
4
4
1
1
8
8
1
4
4
4
16
4
4
4
4
4
16
16
16
16
16
0
8
16
16
16
16
16
1
4
4
2
2
8
16
0
8
8
8
8
0
0
8
0
0
0
0
0
8
8
8
8
8
2
2
0
4
32
1
32
32
4
4
4
4
8
8
8
8
8
1
1
8
8
8
8
16
16
16
16
16
12
12
8
8
1
0
8
12
0
0
8
8
8
8
0
8
8
8
8
8
1
1
16
8
4
48
8
16
16
0
16
16
16
16
8
16
16
16
16
24
16
8
16
16
0
8
1
1
1
0
1
1
1
1
1
2
18
2
2
17
8
8
8
0
8
8
8
8
16
10
10
10
0
8
16
4
29
56
48
8
0
0
24
24
1
0
0
8
24
16
0
0
8
8
8
8
8
2
2
2
2
1
1
1
0
1
0
8
8
8
0
24
16
24
8
24
24
16
0
28
0
16
16
16
16
16
16
16
16
16
16
16
16
2
2
2
0
4
24
24
0
0
0
0
16
16
0
0
2
0
16
16
8
24
24
0
0
0
0
0
0
32
32
32
32
0
0
0
0
0
16
32
32
32
8
8
8
0
10
10
10
4
32
32
0
16
0
0
0
0
24
24
16
1
12
12
2
0
0
0
4
4
2
4
4
4
4
4
56
1
1
1
0
0
7
7
7
8
8
8
8
1
16
17
8
8
8
2
24
16
8
4
4
4
0
8
8
16
8
8
8
24
8
0
0
8
16
16
16
8
8
0
0
0
8
8
8
0
0
8
8
8
0
0
2
2
1
8
8
8
8
4
32
32
16
16
16
16
16
16
16
16
0
17
17
17
8
8
8
8
8
8
8
0
0
0
8
4
24
24
24
24
16
4
4
12
16
16
24
16
8
8
8
8
8
0
4
4
0
8
8
8
2
2
8
8
32
9
9
8
20
0
8
8
8
8
16
0
32
8
39
4
4
4
4
12
8
8
8
8
8
8
8
32
0
0
0
17
8
8
4
4
4
4
4
0
4
4
32
0
16
16
1
8
4
24
24
16
16
16
16
8
8
8
8
8
16
16
32
20
16
8
1
1
49
1
8
8
8
4
4
4
4
4
16
16
16
24
3
0
0
0
9
9
18
16
48
0
0
0
4
8
4
2
4
4
4
4
8
8
16
16
16
16
16
16
16
8
4
4
4
4
56
8
8
24
13
16
4
4
0
0
0
0
8
24
24
16
8
8
8
8
4
4
4
0
26
26
26
18
18
18
8
8
8
8
8
8
8
32
32
1
1
41
4
4
4
0
0
0
24
1
0
0
8
8
1
8
8
2
26
8
24
16
16
16
0
1
0
0
36
44
8
8
2
2
2
2
2
0
4
32
8
24
8
0
8
0
8
8
8
8
16
16
16
0
4
4
4
4
2
2
2
2
0
0
0
2
8
2
2
2
2
2
16
16
16
8
4
12
8
4
12
8
8
8
8
0
0
12
12
0
16
8
16
16
8
8
8
16
16
16
16
16
8
12
8
8
0
8
8
24
0
16
48
0
8
8
1
4
8
8
16
28
16
18
2
2
2
0
8
32
32
8
8
24
12
12
4
12
8
24
1
16
24
24
16
16
0
8
8
8
8
8
0
0
24
24
24
8
8
4
4
0
16
8
8
8
8
32
32
16
16
0
8
0
0
8
8
8
8
8
1
8
8
8
4
4
8
8
28
28
24
8
16
32
32
32
0
0
0
1
8
8
8
2
5
1
1
16
20
8
0
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
0
1
4
4
4
4
4
4
4
8
8
0
0
16
1
8
8
4
4
4
4
4
4
4
4
32
32
24
24
0
0
0
0
17
1
1
1
24
24
2
2
8
4
4
4
0
8
16
24
1
4
4
8
40
8
1
16
2
16
0
4
4
4
4
8
8
8
8
0
24
32
8
12
8
16
0
8
8
0
8
24
32
32
2
2
2
0
12
4
4
4
4
1
1
1
0
8
8
8
8
2
2
2
2
0
0
8
16
16
8
8
8
8
8
8
4
16
54
8
8
12
32
32
32
0
16
1
20
20
20
16
16
4
16
4
10
8
8
0
0
0
0
0
0
0
4
4
4
4
4
4
4
0
16
16
8
8
8
8
8
4
8
8
19
19
19
0
0
0
8
9
8
8
8
8
8
8
8
8
8
16
16
16
24
8
0
8
8
8
8
8
8
16
16
16
16
0
24
0
8
8
0
8
4
4
4
1
8
8
0
8
4
16
4
4
4
16
16
16
16
16
2
18
0
0
16
8
48
56
24
24
16
8
32
4
4
4
4
4
4
16
16
16
4
8
8
0
0
4
20
8
12
1
1
1
8
0
16
32
32
32
32
1
0
8
32
0
8
8
8
8
8
16
16
4
6
4
4
1
1
2
32
1
12
8
8
2
2
2
4
16
16
1
2
2
2
8
8
8
8
0
0
0
0
16
16
0
0
0
0
4
4
4
4
1
0
0
0
0
1
8
9
4
2
0
0
8
8
8
8
8
8
8
16
0
0
16
16
16
16
16
48
16
1
16
16
16
0
0
4
4
4
16
2
2
8
1
4
24
0
0
0
0
16
16
0
0
16
8
8
1
1
8
8
8
4
16
8
0
0
0
0
0
8
16
8
2
8
8
8
16
0
0
0
8
8
8
8
8
8
8
8
0
16
16
16
8
8
0
0
0
16
16
16
24
1
1
1
1
1
16
8
0
32
0
0
0
0
4
16
4
4
4
4
4
0
0
24
24
0
8
8
2
8
2
2
2
2
2
2
8
1
1
1
1
1
1
1
8
8
4
8
8
16
16
24
24
24
0
8
8
8
8
16
16
8
4
8
8
4
4
16
16
16
0
8
4
8
12
0
8
0
16
24
32
32
0
8
1
0
0
16
1
1
8
8
0
0
4
4
18
10
32
8
8
8
8
8
8
8
2
2
2
2
2
24
24
16
8
8
8
0
8
8
8
8
8
16
32
32
32
32
16
1
17
16
16
16
0
4
4
4
4
4
4
0
0
50
16
16
16
2
8
4
4
4
8
8
8
8
0
16
8
16
16
16
16
16
16
16
16
16
16
16
8
17
16
24
16
0
0
0
0
8
8
8
0
4
4
4
4
8
8
16
16
16
24
2
8
8
9
0
0
0
8
8
8
8
8
8
8
8
0
16
28
8
8
4
0
16
0
0
16
16
8
4
21
12
8
8
8
8
16
16
16
1
16
24
24
8
16
12
4
4
0
20
4
1
16
16
20
1
8
8
8
8
8
8
16
16
0
4
4
4
4
4
4
0
0
0
0
1
1
1
0
0
0
1
1
1
1
0
2
2
16
8
16
16
8
8
8
8
8
24
8
8
0
0
2
2
2
1
1
1
1
8
8
8
24
8
8
0
4
32
32
0
0
0
8
0
8
4
4
4
8
8
8
8
8
8
16
0
0
0
0
4
4
4
4
32
32
32
32
16
16
16
16
8
16
48
48
48
8
8
8
8
8
0
1
16
4
4
4
16
0
16
16
16
16
0
0
0
8
8
16
8
8
8
8
4
4
24
8
8
8
6
6
6
16
16
16
8
16
8
8
32
8
1
33
1
2
2
8
12
16
16
8
8
8
8
8
8
0
0
0
0
0
4
4
4
4
4
4
2
2
2
2
2
1
1
1
1
1
1
1
8
8
4
4
4
4
1
1
8
8
8
8
8
8
8
0
8
12
12
8
8
8
8
8
8
16
24
24
4
4
0
0
16
16
16
16
16
54
54
54
16
16
16
4
20
0
24
8
8
1
8
8
8
8
8
18
0
0
8
4
17
17
8
24
24
32
32
10
10
10
10
10
10
8
8
0
16
16
16
8
8
8
1
49
16
16
16
16
8
16
16
10
10
10
1
32
32
8
0
32
16
16
2
4
16
16
5
5
4
8
16
16
16
16
4
4
4
16
16
24
8
8
8
8
8
0
16
1
0
18
18
0
28
60
60
8
8
4
4
4
4
4
4
32
8
28
28
6
2
4
16
0
24
16
16
16
0
0
8
1
8
1
9
16
16
16
0
0
1
1
1
1
1
1
8
8
2
2
16
20
2
2
8
8
4
16
0
4
4
4
8
8
8
8
8
8
8
8
8
2
2
2
2
2
8
32
32
0
0
8
10
8
8
2
4
16
16
0
8
8
2
24
24
24
24
24
24
24
24
24
24
24
24
24
4
4
16
16
24
4
8
8
8
4
4
8
8
0
8
8
8
8
8
8
8
8
8
8
4
8
8
16
16
16
16
24
16
16
0
16
16
32
34
32
32
32
32
32
32
32
0
16
0
4
0
8
8
2
2
2
2
2
2
2
2
2
2
4
8
8
1
1
1
0
0
16
16
2
16
0
16
16
8
8
8
60
4
24
16
0
8
24
24
24
8
0
0
0
0
16
0
0
6
6
0
0
8
0
0
0
1
40
41
8
2
0
0
0
4
4
4
4
4
8
8
0
8
8
16
22
8
8
4
4
4
4
8
8
8
8
4
4
4
2
2
2
2
0
0
1
1
16
16
16
16
16
8
8
0
8
8
8
4
8
50
0
16
16
20
20
20
8
8
0
0
0
8
16
16
0
0
8
0
0
0
8
0
24
24
24
8
8
2
4
6
0
8
8
8
8
9
8
8
4
6
6
6
6
6
1
0
32
32
32
32
32
9
4
36
36
4
2
8
8
8
16
0
8
8
8
16
4
4
8
8
8
2
2
2
8
8
16
16
16
1
16
0
2
16
2
32
32
16
16
0
16
16
8
4
4
8
4
4
6
6
6
6
1
8
8
0
20
16
16
16
1
16
8
8
0
0
0
4
0
2
2
4
4
8
48
48
8
1
0
0
0
2
2
2
2
18
16
1
1
0
16
16
24
24
24
24
4
4
8
16
0
8
4
4
4
16
16
0
0
0
0
0
0
0
16
16
16
8
8
8
20
20
8
4
16
8
0
8
0
1
1
13
8
8
24
16
16
16
16
0
8
4
8
16
8
8
8
8
9
0
8
8
8
8
8
24
16
8
8
8
8
24
8
0
16
28
28
28
8
1
4
4
16
8
8
8
24
0
0
8
8
8
2
2
2
0
0
1
1
2
4
0
0
1
8
4
16
20
16
16
16
16
16
8
0
16
16
22
22
28
0
8
16
16
8
4
4
0
16
16
16
0
48
16
16
16
16
16
16
16
0
0
16
16
18
18
2
4
4
1
4
4
4
4
8
8
8
0
0
0
0
2
2
8
8
8
8
8
8
0
8
0
16
16
16
0
8
8
56
12
8
8
0
16
16
16
16
2
6
4
16
16
16
16
16
16
1
1
1
8
0
0
16
16
16
16
16
16
16
24
0
8
8
8
8
4
8
8
8
8
8
8
8
8
8
8
0
16
16
6
4
2
16
4
4
16
16
16
8
8
32
32
32
32
0
4
0
2
16
16
16
16
0
16
16
16
16
16
24
8
8
8
24
1
16
16
16
4
0
0
16
0
0
8
8
8
8
32
8
0
28
8
12
1
1
1
1
24
24
0
0
16
16
48
4
4
16
8
8
8
8
0
0
0
8
6
7
6
6
6
36
36
36
0
0
0
0
0
20
20
1
4
2
34
8
8
8
8
0
0
0
4
16
16
16
16
16
32
58
4
4
4
2
2
2
2
2
2
2
0
4
8
8
8
8
8
8
0
0
16
24
16
16
32
8
8
16
16
16
16
34
1
1
0
9
1
1
1
16
16
16
8
8
8
16
16
4
24
17
16
24
16
16
0
26
8
8
8
8
2
32
1
2
8
1
8
8
8
8
8
16
8
8
16
16
8
8
16
24
0
0
8
8
16
16
16
16
16
16
1
1
16
16
8
8
8
8
0
0
0
0
0
0
8
8
32
32
32
32
0
0
1
8
8
8
16
16
16
16
16
4
4
8
0
4
4
4
8
0
8
8
1
1
16
32
32
1
8
0
0
4
4
4
0
16
8
8
8
8
8
8
8
8
8
16
16
4
16
4
4
3
16
1
8
8
8
8
8
0
4
4
4
4
4
4
4
0
49
32
32
17
21
17
0
0
1
1
1
1
8
8
8
8
16
16
8
8
1
1
1
1
1
12
0
16
16
16
16
16
16
4
4
4
32
32
32
32
32
32
32
32
16
16
8
4
4
4
4
4
24
16
16
40
4
20
4
4
16
16
24
0
0
16
16
8
16
1
24
24
24
8
8
8
8
8
8
0
8
8
0
0
0
0
0
16
16
0
0
8
24
24
8
9
24
8
8
8
8
0
1
1
1
0
8
0
0
8
16
24
24
24
16
16
24
8
8
16
24
8
8
16
16
16
16
60
25
24
8
8
2
2
8
16
8
16
0
8
8
8
4
4
16
2
0
16
2
4
4
8
8
8
8
16
1
16
16
16
8
8
8
8
0
0
0
8
8
1
1
8
8
2
2
3
3
8
8
8
8
8
8
16
16
8
8
8
2
0
0
4
4
4
4
4
4
0
16
16
16
16
4
4
20
16
16
16
16
16
8
8
8
4
4
2
2
2
8
8
8
16
8
8
8
8
24
16
24
16
16
8
8
8
0
0
8
12
0
8
0
0
40
10
8
8
8
8
8
8
8
0
40
8
16
16
8
8
8
8
8
8
8
8
9
9
9
9
9
9
9
16
16
16
16
16
16
16
16
16
16
16
16
0
0
0
0
8
0
0
0
0
0
0
0
24
8
1
1
32
32
32
32
8
8
8
8
16
16
49
49
4
8
8
6
2
8
2
2
2
2
40
40
40
40
8
32
8
8
8
8
8
8
8
0
0
0
32
8
8
8
8
8
8
8
8
8
8
8
8
16
8
8
16
28
16
10
10
8
8
16
16
10
0
1
1
0
0
1
0
8
8
8
8
1
0
0
0
2
2
8
8
8
16
8
36
16
2
2
32
8
0
0
16
16
16
16
16
0
0
8
16
16
0
0
0
8
0
8
2
1
20
20
16
16
16
1
1
1
1
1
8
8
8
16
44
4
4
0
0
24
24
8
0
0
16
16
16
16
16
16
16
16
16
0
0
0
0
4
4
4
4
4
4
4
4
0
0
0
22
22
18
2
2
2
2
8
8
8
8
16
16
16
8
8
1
1
1
1
1
1
0
8
2
2
0
0
0
0
4
20
20
0
0
0
16
0
0
0
0
8
12
12
12
12
8
1
0
8
8
8
8
8
8
8
8
0
0
0
4
16
16
0
0
0
2
2
2
4
2
0
0
0
0
0
8
0
8
24
8
16
32
48
4
4
4
8
8
8
8
8
8
33
24
4
4
20
4
16
0
8
8
8
8
1
1
0
8
4
16
17
17
16
8
16
16
0
16
8
8
8
8
8
33
8
16
0
24
8
8
8
32
40
2
16
2
18
8
8
16
8
16
32
32
28
24
12
12
12
0
0
24
24
0
16
27
8
24
16
0
0
0
0
0
0
12
8
8
8
8
0
26
18
18
18
0
8
24
8
6
8
4
8
8
8
8
1
1
4
4
4
4
24
0
24
24
16
0
0
4
48
16
32
24
4
4
1
16
16
16
16
16
16
16
16
0
0
0
8
4
4
4
8
8
8
8
32
32
36
16
16
16
29
29
4
8
4
4
4
8
24
8
17
17
17
0
0
2
2
0
8
8
8
8
8
8
4
8
8
1
4
4
4
12
12
8
16
0
4
4
4
4
4
8
8
4
0
2
8
0
0
1
1
1
1
8
8
8
20
4
4
4
4
4
1
9
1
0
0
12
4
4
4
4
8
8
8
8
8
16
16
16
16
2
2
2
2
2
0
8
8
8
8
8
0
0
32
32
32
32
32
32
16
16
16
16
16
16
16
24
4
8
8
2
2
2
16
16
16
16
24
24
24
9
8
2
24
10
0
54
2
2
9
2
8
0
0
1
1
8
8
0
8
8
0
0
8
1
1
16
2
8
0
0
0
1
1
1
1
1
16
16
16
16
23
3
20
23
0
1
16
3
1
8
8
8
8
30
4
4
4
8
8
8
8
8
8
4
4
2
2
2
2
16
16
16
8
8
8
8
16
16
8
8
8
8
16
16
0
32
32
32
32
32
52
52
16
1
1
1
1
0
16
16
16
16
16
8
8
8
8
8
16
16
16
16
16
8
8
4
8
4
8
8
0
0
0
0
0
0
0
4
4
16
16
24
16
16
16
16
16
16
16
16
16
8
2
2
0
8
16
16
16
16
16
16
16
4
16
16
16
16
16
16
16
16
16
16
16
16
0
8
8
8
16
25
0
0
16
4
4
4
0
8
16
16
16
1
1
28
28
28
28
2
8
16
24
16
16
16
16
40
12
2
14
8
8
8
8
16
16
16
16
16
16
16
16
2
2
2
2
2
16
16
16
16
0
0
4
4
4
9
4
4
16
36
32
32
32
32
32
32
32
32
8
4
8
4
4
4
12
4
4
4
4
24
0
0
0
0
0
4
16
0
0
16
0
8
16
0
4
4
8
1
1
1
60
4
0
8
24
24
8
8
0
0
16
16
4
4
4
4
0
0
32
16
16
16
0
0
0
0
4
4
33
8
2
16
16
0
0
17
4
4
0
8
8
0
16
8
24
24
16
16
16
16
16
16
0
8
8
16
24
16
16
16
32
32
32
4
8
16
16
16
16
16
16
16
16
0
2
2
1
1
1
0
0
0
0
0
0
4
8
8
8
8
32
32
32
32
8
8
8
18
8
4
4
2
4
6
0
0
8
8
8
8
8
8
0
16
16
0
1
1
16
16
0
24
16
8
16
16
16
20
16
4
16
0
8
16
4
4
4
16
0
16
16
16
8
9
1
3
1
6
6
6
6
30
0
2
8
0
4
4
4
4
8
8
8
8
8
8
0
4
16
16
1
1
16
16
16
16
16
16
8
0
0
0
8
20
16
16
16
8
8
1
1
16
0
0
2
2
12
8
8
0
8
8
8
8
12
16
1
1
0
12
12
8
40
4
4
4
4
4
4
16
16
36
8
8
1
1
1
16
16
16
0
8
8
8
8
32
32
32
32
8
16
0
4
4
4
4
4
4
4
4
4
4
16
24
0
8
0
8
8
8
8
16
4
4
8
0
0
0
0
8
8
32
32
4
5
8
8
8
8
8
0
8
8
8
8
16
16
17
8
56
56
2
16
16
16
16
16
0
0
8
8
2
2
2
8
8
8
8
8
8
8
8
0
0
28
8
8
25
8
0
0
16
16
16
16
16
8
8
8
8
16
16
0
0
16
18
16
8
16
16
16
8
16
24
16
8
8
0
2
16
16
16
1
1
0
16
0
16
16
0
0
0
0
0
8
8
8
0
8
8
8
8
8
8
8
8
8
12
0
2
2
2
0
4
2
6
4
4
4
4
4
4
4
0
8
8
32
32
4
16
0
8
62
8
8
4
4
8
8
4
16
16
16
0
16
16
16
0
3
28
28
28
28
4
16
16
8
16
8
16
0
4
4
4
4
8
8
48
24
0
0
0
8
16
24
24
24
8
8
7
8
8
8
8
8
0
0
8
8
1
1
0
0
1
2
2
2
8
0
0
0
4
4
4
8
8
8
6
8
0
0
16
16
16
16
16
16
4
4
4
4
4
4
4
4
4
4
4
4
4
4
8
8
8
8
8
8
8
16
16
16
4
4
4
4
4
4
4
4
2
2
2
2
9
9
9
8
4
1
2
35
2
2
0
16
16
16
16
16
8
0
24
24
24
24
16
16
0
0
8
1
0
2
2
2
2
2
0
8
8
8
8
8
8
8
8
8
0
0
0
8
8
4
4
4
4
4
4
4
0
8
16
16
16
0
0
0
0
0
16
16
16
16
16
16
16
16
0
0
8
8
8
16
16
18
18
0
0
0
16
16
2
2
0
16
16
16
16
8
8
2
2
4
4
16
4
16
4
0
0
16
16
16
16
16
16
16
16
1
8
11
10
1
11
2
2
4
4
4
4
8
8
8
8
8
8
8
8
8
40
8
0
32
40
8
12
1
1
1
8
8
0
0
4
4
0
0
0
0
0
0
0
20
20
0
8
8
8
8
8
8
8
8
1
1
1
16
0
0
0
8
8
8
8
8
8
8
8
8
4
16
16
16
16
0
0
0
0
8
40
40
40
40
8
8
8
8
2
2
16
16
16
1
0
0
0
0
0
0
49
12
12
12
0
8
8
4
4
4
4
4
16
16
8
12
0
2
0
2
2
2
2
18
16
4
4
16
16
8
8
16
16
56
16
24
16
4
4
4
8
8
2
0
5
13
2
2
2
8
17
8
8
8
8
0
16
2
2
2
2
2
2
2
2
2
2
2
8
16
8
0
0
0
4
4
0
0
16
16
16
16
8
4
16
4
4
4
4
4
4
4
8
0
0
16
1
16
1
17
1
1
18
25
1
9
0
0
0
8
8
0
4
4
4
4
0
0
0
8
8
8
8
16
16
16
8
8
8
0
8
8
8
2
2
0
0
8
8
8
1
1
24
8
24
8
16
24
8
32
32
16
16
16
8
8
8
8
16
16
16
8
8
16
8
8
16
24
16
0
16
16
1
1
8
8
8
8
8
12
8
8
0
16
16
16
16
16
16
16
12
8
8
21
21
21
8
0
0
16
4
20
28
20
2
16
0
0
0
16
16
16
16
0
1
0
1
1
8
16
16
16
16
0
8
8
40
8
8
0
0
9
9
0
1
1
1
4
4
24
16
16
16
16
16
16
1
1
1
1
16
24
28
16
17
16
16
16
1
1
8
8
32
32
9
16
1
16
4
16
8
8
3
1
8
8
8
8
8
8
8
8
8
40
8
16
16
16
8
16
16
16
8
16
0
8
16
2
4
6
6
6
6
0
2
2
8
34
34
0
16
16
16
8
8
8
16
8
8
16
16
16
8
8
8
8
8
8
0
0
0
16
16
0
9
0
8
24
16
8
8
8
8
8
8
16
2
0
0
0
16
16
16
2
16
16
32
20
20
20
25
25
8
2
2
2
2
2
8
6
24
0
16
8
8
0
16
0
0
0
0
0
8
8
8
0
8
8
8
1
1
1
1
1
16
16
16
16
2
16
0
0
32
32
32
32
8
12
8
0
0
0
16
16
16
10
8
8
8
8
4
4
16
28
16
16
4
16
8
8
0
0
16
16
16
16
16
16
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
24
24
24
24
8
24
16
2
2
0
0
8
8
8
16
16
16
16
16
8
8
0
8
8
8
8
16
8
8
8
8
0
0
8
8
8
4
8
8
0
8
8
6
6
6
2
0
0
16
16
16
0
2
2
2
2
2
2
2
2
2
0
0
8
8
16
16
16
16
16
16
16
8
16
0
0
8
8
1
9
1
8
8
8
1
2
2
0
0
8
8
1
8
24
8
8
0
16
16
16
16
12
12
12
8
8
8
8
8
8
8
8
8
8
8
8
16
16
1
1
1
16
9
25
16
16
16
16
16
0
0
0
4
36
36
8
8
8
0
0
0
0
0
4
4
8
30
0
6
4
4
9
9
8
8
16
1
0
16
2
2
16
16
16
16
1
17
0
24
16
4
23
0
16
16
0
0
0
0
0
0
4
4
4
4
4
33
0
24
8
6
6
16
6
16
16
16
16
8
8
8
8
8
8
8
8
16
8
8
8
4
0
16
9
8
1
1
1
1
1
1
1
1
1
1
16
16
2
2
2
8
8
8
1
1
1
1
1
0
8
8
8
16
16
8
4
16
16
8
8
8
8
8
8
0
1
4
28
0
0
12
0
0
8
1
1
8
8
8
8
8
16
16
16
16
16
40
40
0
16
16
16
16
16
16
16
1
0
0
0
4
30
4
16
0
16
16
16
24
8
8
8
2
0
0
0
0
2
2
16
8
16
16
8
8
0
12
8
8
0
0
16
16
25
16
16
2
0
0
8
8
4
4
4
1
1
1
4
8
12
12
1
16
0
0
8
22
30
30
16
0
0
0
16
0
0
1
1
1
1
1
1
2
2
2
0
4
12
12
4
8
4
4
4
16
4
20
4
4
4
4
4
4
0
0
0
4
0
16
0
0
0
0
4
16
16
16
16
8
8
8
8
8
8
0
0
0
4
32
0
0
8
4
16
16
32
16
0
0
16
16
16
16
16
16
9
9
4
4
4
4
4
4
1
1
1
1
1
1
0
0
8
28
8
12
0
0
0
0
0
4
4
1
1
1
1
1
8
8
2
8
8
8
12
8
8
0
0
0
16
16
16
8
8
8
8
8
2
2
2
2
8
24
0
8
8
16
8
0
0
16
0
0
0
24
16
0
0
24
32
48
16
16
16
16
16
0
8
8
16
4
57
57
8
32
8
32
0
0
0
0
0
0
0
8
8
38
32
6
2
16
16
8
0
0
0
8
8
8
8
8
8
8
0
8
2
8
8
8
0
4
2
2
0
0
16
16
0
0
0
8
8
8
34
0
0
8
8
8
8
2
16
4
22
6
22
6
8
8
16
1
16
16
16
4
4
4
4
8
16
16
16
16
1
32
1
1
1
8
1
1
8
1
1
1
12
0
4
32
32
11
0
0
0
24
8
8
8
8
8
8
8
8
8
8
8
8
4
0
8
0
4
4
4
4
16
16
8
24
10
8
2
8
8
0
0
8
8
8
8
8
12
12
12
32
24
24
24
8
8
16
8
4
4
0
0
0
16
8
4
0
16
16
16
16
61
0
8
0
0
26
26
26
26
16
0
2
2
2
16
16
16
2
2
0
0
0
0
0
8
8
8
16
24
4
1
24
16
16
16
16
0
8
8
8
8
1
1
1
4
8
8
0
2
28
28
10
14
10
16
8
8
8
8
8
8
8
8
16
4
4
1
5
24
24
20
4
8
8
8
0
2
8
1
1
1
1
1
1
19
18
18
8
8
12
8
8
4
0
4
4
4
4
0
0
32
34
2
1
16
16
0
0
8
8
8
24
8
8
8
8
0
40
40
8
0
0
8
8
0
4
4
4
4
4
4
4
4
4
4
16
16
4
4
16
8
24
24
8
8
8
8
8
8
8
8
8
8
24
8
8
8
8
8
4
4
4
4
8
8
6
6
8
8
4
8
8
8
8
28
1
1
16
16
8
8
0
8
12
12
4
8
12
12
12
0
8
8
8
8
16
16
16
16
4
1
1
0
0
0
0
0
8
12
12
12
8
8
8
8
8
8
8
8
4
4
4
4
1
1
2
2
2
8
8
8
2
16
8
1
21
8
16
16
16
1
1
1
4
4
4
4
4
16
16
0
16
16
16
0
8
8
1
1
0
0
0
8
8
0
0
0
8
8
8
8
8
8
8
32
32
32
0
0
0
16
16
16
16
16
16
16
2
16
4
4
4
0
8
8
16
0
0
0
8
8
0
32
32
8
16
16
8
8
0
0
0
8
4
2
4
4
16
16
16
16
16
16
0
4
4
16
16
8
8
8
8
8
8
8
12
4
4
4
8
8
8
8
8
8
16
16
16
16
4
4
0
16
0
0
8
8
16
8
0
0
16
16
0
0
16
16
16
16
9
8
8
8
0
8
8
8
8
0
0
8
8
0
0
8
20
0
24
16
16
16
16
8
17
1
1
1
16
5
8
9
9
0
16
16
8
8
8
16
16
4
4
4
4
1
1
1
1
0
0
1
8
8
8
8
8
8
8
0
8
2
2
0
1
1
24
24
24
24
24
8
32
32
32
32
32
32
32
8
0
16
0
0
10
2
8
16
16
16
0
0
0
0
32
32
32
16
4
4
0
8
8
8
0
0
4
34
34
34
34
34
32
32
16
16
24
4
4
4
4
20
0
26
26
8
16
2
16
24
24
2
2
2
2
2
0
16
0
0
0
0
0
0
32
32
1
1
40
40
2
2
8
12
28
12
48
48
48
48
0
16
16
16
16
2
2
16
4
1
1
1
2
2
2
2
2
0
0
8
8
8
8
8
4
4
4
4
4
4
48
48
1
32
32
8
0
24
16
4
4
0
0
24
0
16
16
8
24
24
24
1
1
1
49
49
12
12
12
8
4
0
0
8
8
8
8
8
8
8
8
16
16
12
12
12
12
12
12
0
0
2
8
8
1
0
0
12
4
4
4
8
8
8
0
8
8
0
24
8
8
8
8
8
8
8
8
8
8
8
2
8
8
8
8
16
16
16
16
4
4
16
1
1
1
8
8
8
16
8
31
16
16
1
1
12
8
8
8
8
0
16
16
24
32
16
8
8
8
24
8
8
2
2
16
16
16
4
4
4
4
4
0
4
0
16
16
32
4
4
4
4
4
12
12
0
0
4
4
4
2
2
32
32
0
8
8
8
8
8
8
8
8
8
8
8
4
8
8
8
8
2
2
2
8
8
8
8
8
0
0
8
8
8
8
60
12
12
4
20
12
1
16
16
16
0
0
0
2
2
2
16
16
16
16
16
0
0
0
18
2
16
16
16
16
16
16
0
0
32
0
0
0
0
17
17
17
0
8
8
8
8
2
2
2
0
0
0
0
0
0
0
24
0
6
1
1
1
0
0
16
0
1
1
16
16
0
0
0
0
0
0
0
0
0
0
0
8
8
0
16
4
8
24
24
4
32
32
32
16
16
1
8
8
8
8
8
8
8
58
9
8
1
2
2
48
2
2
16
32
4
32
32
32
8
8
16
16
24
16
16
16
8
8
16
16
8
8
8
8
8
28
28
1
1
24
0
16
4
16
16
0
28
28
28
8
8
12
12
12
12
12
12
12
1
1
1
16
1
8
8
8
24
16
16
16
16
16
16
8
8
8
8
8
24
0
4
0
8
16
16
16
16
16
0
0
16
8
8
8
8
0
0
0
0
0
0
1
16
2
2
2
8
8
8
2
2
2
2
10
2
0
0
8
28
8
0
0
0
0
8
8
8
8
8
8
8
10
10
8
8
8
16
0
0
16
16
16
17
16
16
16
16
24
24
16
8
24
0
0
16
16
0
1
0
0
16
16
8
4
4
4
8
8
32
8
8
28
8
4
4
8
8
8
8
8
16
0
0
8
8
8
4
4
4
8
12
8
8
8
8
8
8
8
8
2
8
8
9
8
8
8
8
8
8
8
8
8
8
8
8
8
4
8
8
8
8
12
8
4
16
16
25
16
8
8
8
8
9
9
8
32
8
8
8
8
8
32
33
32
32
1
4
4
4
4
4
0
16
4
20
8
8
0
0
1
1
16
8
24
24
24
24
24
24
24
24
18
18
1
3
1
1
8
8
8
0
0
8
8
8
8
8
0
8
0
0
0
2
2
2
2
8
2
16
16
24
8
24
8
8
16
0
2
2
4
4
4
4
8
1
16
16
16
16
8
8
8
8
16
8
4
4
4
4
24
16
0
32
4
0
0
0
16
1
1
24
8
17
1
1
41
32
8
32
4
4
1
8
4
4
16
0
34
1
2
16
18
0
0
8
8
8
8
4
28
4
4
16
4
4
4
4
16
16
48
16
16
24
16
16
0
0
0
8
8
4
4
0
52
4
4
46
46
16
16
16
16
16
16
2
16
1
16
16
24
8
1
1
1
1
16
8
8
2
2
4
2
16
21
4
20
4
21
21
21
21
0
0
8
8
4
4
4
4
4
8
8
8
8
8
0
0
0
0
0
0
16
16
16
8
28
8
8
8
4
8
24
8
0
0
21
12
0
0
16
16
2
2
8
4
2
1
1
1
1
1
9
16
16
16
16
16
16
45
45
16
24
16
4
4
4
32
32
0
4
4
4
1
0
0
8
8
8
1
17
1
0
8
8
8
8
8
8
1
1
1
1
1
1
1
8
24
0
0
32
32
32
32
0
0
2
2
2
32
8
8
8
8
16
16
16
16
16
0
0
2
2
2
16
4
12
12
31
8
8
8
16
16
32
16
16
16
16
16
16
16
3
3
3
24
8
8
8
8
1
1
1
16
16
16
16
16
16
16
0
4
8
12
0
36
32
32
0
9
9
9
8
0
0
8
8
8
0
0
0
8
16
4
32
40
0
8
8
8
8
8
8
16
24
8
8
4
4
8
0
0
0
16
16
0
0
8
8
8
4
4
0
0
0
17
16
16
32
16
32
0
16
16
24
16
16
8
8
8
8
0
0
32
32
32
32
1
8
8
8
8
8
9
16
16
16
16
18
16
16
16
0
0
1
1
1
16
16
16
22
1
17
17
16
1
17
16
16
16
16
16
16
16
2
2
1
2
1
1
1
1
8
8
8
4
12
28
0
4
4
4
4
16
16
0
0
16
16
16
16
16
16
16
16
16
45
2
2
24
24
24
8
16
16
16
16
16
24
0
0
16
16
16
10
24
8
16
8
8
16
16
16
0
4
0
16
16
16
1
16
16
16
0
0
0
48
16
24
16
16
16
16
16
8
8
1
1
16
8
8
8
8
1
1
1
8
8
40
0
16
48
32
32
4
2
16
9
36
4
4
0
8
24
8
8
8
8
20
16
16
16
0
1
32
32
32
32
32
32
8
2
2
3
8
8
24
8
8
8
8
8
16
16
0
0
0
0
24
24
4
4
4
4
8
16
16
16
16
16
16
16
16
16
16
8
8
8
8
4
4
4
4
8
16
16
8
4
8
4
1
1
1
1
1
1
1
32
32
16
8
24
16
8
8
8
8
4
4
4
1
0
0
0
16
16
16
16
16
8
16
16
16
16
8
8
0
0
16
4
4
4
4
4
0
8
8
8
8
8
8
8
8
0
24
24
8
8
0
8
8
8
16
16
1
24
8
0
0
0
0
8
8
24
8
4
0
0
32
32
32
0
0
1
16
16
16
16
4
4
20
0
8
2
4
17
0
0
0
8
16
8
24
16
16
16
16
32
4
8
8
8
8
8
8
8
0
0
0
0
16
16
16
16
16
0
4
4
4
4
4
4
4
8
16
16
0
0
0
0
8
16
8
0
20
16
8
8
2
2
0
0
8
2
2
0
0
0
8
8
40
8
8
20
20
1
1
32
1
0
0
0
8
8
8
8
8
0
4
4
0
0
16
16
0
0
0
0
60
60
60
16
36
8
0
16
16
16
16
16
16
16
16
16
0
8
16
24
24
24
16
16
33
16
17
16
16
1
1
1
1
1
0
4
12
16
0
0
0
16
16
16
16
16
4
4
4
4
4
0
24
24
24
24
12
8
8
52
52
8
8
8
8
8
0
0
0
8
8
16
24
1
16
16
16
16
16
8
8
8
4
1
0
8
8
8
0
0
1
17
16
24
8
8
8
8
18
9
1
1
1
0
0
8
8
8
8
8
4
1
1
0
8
24
16
16
16
16
16
16
16
16
16
16
16
0
0
0
1
1
0
16
16
16
32
32
2
2
2
2
16
16
2
16
8
8
32
40
0
8
8
8
8
8
8
8
8
4
4
4
32
32
0
8
8
8
0
0
0
0
0
0
0
8
12
40
40
8
8
16
16
28
16
8
1
1
0
8
0
0
8
8
24
24
16
16
16
16
16
16
8
8
8
8
0
1
1
1
1
5
16
16
28
4
4
4
4
4
16
16
16
8
4
4
8
12
8
8
8
4
4
4
4
10
20
8
8
8
8
8
4
0
0
1
1
1
1
1
1
1
1
2
2
2
8
8
8
8
8
8
2
2
2
2
16
16
16
16
16
0
0
8
8
1
1
16
34
50
16
16
24
24
24
2
1
16
8
1
24
16
16
16
8
8
8
8
8
0
16
4
4
16
8
2
2
2
2
2
4
4
4
4
0
8
8
8
8
0
0
0
0
0
6
0
0
1
0
0
16
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
2
2
2
2
4
8
8
0
16
16
16
16
8
8
16
16
0
0
16
8
8
8
8
9
9
0
4
0
0
0
0
0
0
8
25
0
16
16
1
0
0
0
0
4
4
1
1
1
32
32
8
8
0
0
0
0
24
8
2
2
2
0
0
18
16
16
16
16
16
16
16
16
16
16
16
16
16
24
24
0
0
9
9
16
16
16
16
16
16
16
16
8
4
2
2
2
0
0
0
16
16
16
16
16
16
8
8
0
17
20
16
2
2
2
2
8
8
43
16
16
16
16
16
0
2
1
4
4
32
0
0
8
8
8
8
8
8
0
8
16
16
8
8
2
2
2
2
0
0
2
2
0
0
8
56
16
16
16
16
16
0
0
0
16
16
8
8
8
16
16
16
16
4
4
4
4
8
8
8
0
16
1
17
16
16
16
26
8
18
12
0
2
2
0
0
0
0
9
16
2
2
2
8
8
1
25
1
1
24
24
16
8
8
8
8
8
16
16
16
16
16
8
32
32
32
0
16
8
8
8
8
8
8
4
0
8
8
8
8
0
8
8
8
8
8
14
4
12
8
8
8
0
0
12
4
4
8
8
0
0
0
0
8
8
1
0
2
2
18
18
18
2
16
16
16
4
1
1
1
40
32
32
0
8
16
16
1
1
1
1
1
0
32
0
0
8
8
24
16
16
16
16
16
16
8
8
2
2
2
3
8
8
0
0
8
8
48
48
4
32
32
32
32
32
32
32
32
32
32
32
8
16
16
16
1
1
8
8
8
24
1
8
4
20
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
0
8
8
8
8
0
16
8
28
9
9
0
0
2
2
2
1
0
8
8
8
16
24
16
16
8
8
8
8
8
8
8
1
1
1
0
0
2
1
2
8
8
16
8
8
8
8
0
8
8
8
8
8
4
16
22
1
1
16
16
1
8
8
25
32
32
16
8
0
0
0
0
8
8
8
0
2
34
34
4
1
33
1
1
8
8
16
16
16
8
0
8
8
16
16
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
16
16
0
8
16
16
8
0
0
1
1
0
0
16
4
8
4
0
0
0
1
0
24
24
8
8
8
0
2
2
16
16
16
16
16
16
2
2
1
8
8
1
1
1
1
1
0
4
1
8
8
24
28
0
0
0
0
0
16
16
1
1
8
12
16
16
8
8
32
32
16
16
16
32
4
16
4
9
9
9
9
8
8
8
0
0
8
8
8
8
8
8
8
8
1
1
1
1
0
0
0
1
8
0
8
8
8
8
8
8
0
4
4
4
4
4
4
0
1
1
1
1
23
23
8
0
8
8
1
0
16
27
16
16
8
6
6
6
16
0
0
24
24
16
16
16
16
16
16
0
8
8
1
16
16
8
8
8
16
8
0
0
0
8
0
0
4
4
4
4
4
2
2
2
2
2
0
0
8
8
8
32
32
32
8
8
8
8
0
16
0
8
8
16
16
0
35
1
1
1
1
1
8
8
8
8
8
8
0
0
8
4
1
21
21
16
16
16
0
8
8
0
0
0
0
40
40
9
9
8
0
8
8
8
8
8
0
8
16
16
0
0
0
28
28
24
16
3
16
16
32
32
32
0
8
8
8
8
4
4
4
8
8
8
8
8
16
16
16
16
16
16
0
0
0
16
0
10
10
1
8
8
8
8
8
8
8
8
12
8
4
4
9
16
0
8
16
1
1
8
8
16
2
0
16
16
16
16
16
16
16
16
2
0
1
1
0
8
8
8
8
8
8
8
8
8
8
0
8
8
0
0
0
1
1
1
0
1
16
16
16
4
8
8
8
0
0
2
8
40
8
9
1
8
8
8
8
2
2
0
0
0
0
0
0
2
2
2
2
2
16
16
16
16
16
16
16
16
16
16
16
8
8
8
8
4
16
0
0
1
8
32
4
4
4
4
4
4
16
0
8
16
2
32
34
0
16
16
1
1
1
1
2
2
8
0
1
8
8
8
8
8
0
0
0
4
4
16
17
1
4
4
4
1
0
0
0
32
8
8
8
1
1
1
0
16
16
16
16
16
16
9
9
24
8
16
24
8
8
8
8
4
17
16
4
20
4
8
8
8
0
1
0
1
1
4
4
4
16
16
0
2
2
0
0
4
8
8
8
4
8
8
16
0
33
8
2
2
2
36
36
16
0
0
0
0
0
24
8
8
8
16
1
1
16
16
4
4
4
4
0
0
36
10
8
4
4
4
2
19
16
16
16
16
4
16
8
4
25
16
4
4
0
8
8
8
8
8
8
8
8
0
0
1
16
4
16
1
8
8
2
4
0
8
0
0
16
4
8
1
0
0
0
48
16
16
16
16
16
4
4
8
8
8
0
4
8
8
16
16
16
8
8
0
8
8
8
8
8
16
16
16
12
8
12
12
0
16
24
8
8
8
8
1
0
0
8
8
20
16
16
16
23
6
6
4
0
1
16
16
16
16
16
16
16
16
16
16
8
0
4
8
8
12
8
0
8
3
1
1
0
8
8
8
16
16
16
16
16
16
16
8
8
8
4
4
4
0
0
0
16
16
16
16
4
4
4
4
4
4
0
0
4
12
4
4
4
8
8
16
0
0
0
32
32
32
32
32
32
4
4
4
4
4
4
4
1
1
24
24
4
4
0
0
0
0
0
5
4
8
16
2
8
8
16
16
2
2
0
16
16
8
8
0
0
1
1
1
8
8
1
8
8
8
8
8
20
20
20
20
20
20
4
16
20
20
8
16
16
17
17
16
0
24
16
8
1
1
1
8
48
4
16
17
21
16
8
0
0
0
0
0
0
16
16
16
32
32
32
16
16
16
16
16
0
0
8
8
2
0
0
16
8
16
16
8
16
16
2
2
0
0
22
0
0
8
8
8
2
2
0
0
0
8
4
29
0
0
0
8
8
1
1
6
6
6
6
6
6
6
6
32
32
8
8
8
8
4
4
4
20
4
4
4
4
4
4
8
8
2
2
2
2
2
4
0
21
20
16
16
24
1
8
8
0
8
0
16
32
8
16
16
18
16
2
18
4
4
8
16
0
0
0
8
16
16
16
1
8
12
12
0
0
4
8
0
0
18
8
1
1
32
32
32
0
0
1
2
2
0
0
16
12
1
16
2
17
17
17
17
0
16
8
0
8
8
40
4
0
8
16
16
16
8
12
0
16
8
0
18
0
8
16
2
0
0
0
16
0
0
0
8
24
16
8
8
8
8
8
24
0
4
4
4
16
16
0
0
0
0
0
0
0
16
16
0
2
32
0
0
16
16
16
2
0
0
8
8
8
6
16
16
0
1
2
2
4
0
0
8
8
8
8
24
24
0
0
0
8
8
0
16
28
16
8
28
4
4
16
4
4
4
16
4
4
4
4
0
0
0
16
16
16
16
4
4
12
8
8
8
16
2
16
16
0
0
24
16
16
16
8
8
8
8
8
0
1
1
0
0
0
0
0
24
4
4
4
0
8
8
16
18
0
8
2
16
4
2
2
4
4
30
4
0
0
8
8
8
16
0
8
8
16
1
0
30
32
4
0
1
16
16
16
16
16
4
1
1
1
0
0
8
8
8
8
0
0
0
16
16
2
16
16
4
4
12
4
16
8
0
8
8
16
16
16
16
16
8
8
0
8
0
8
8
8
2
10
2
10
0
0
0
0
8
0
8
0
28
8
8
4
8
0
8
16
16
16
0
0
8
8
0
0
16
16
16
0
0
0
0
16
16
16
16
0
0
0
16
16
0
4
4
0
16
24
24
24
8
8
32
4
4
6
8
8
8
8
16
8
8
8
0
8
8
0
8
16
16
0
16
16
16
4
8
0
24
24
0
0
1
21
21
0
0
0
4
4
12
0
24
8
0
20
8
8
8
8
8
8
8
0
12
16
16
32
32
32
0
32
32
32
16
16
16
4
4
4
0
32
32
32
9
8
8
8
8
8
0
0
0
8
0
0
0
0
8
32
32
0
2
8
0
8
8
8
24
16
16
17
17
17
0
48
8
16
16
16
0
16
16
24
8
8
8
16
16
0
0
0
0
16
16
0
0
0
12
12
12
12
12
4
14
4
8
8
8
8
8
0
0
4
4
4
4
0
0
2
9
0
8
8
8
16
16
16
16
16
16
16
16
2
28
4
16
0
8
8
8
8
0
0
16
16
4
0
0
0
0
1
1
1
8
17
17
17
32
32
8
12
4
4
4
0
0
16
0
8
16
16
8
0
0
16
16
16
8
0
0
0
0
0
0
8
0
16
16
24
8
8
8
16
16
3
4
4
16
16
16
16
24
16
16
8
12
8
8
8
0
0
8
12
33
0
0
0
8
8
8
8
8
8
8
0
16
16
8
0
8
8
1
8
8
8
8
8
8
8
8
12
8
16
20
8
24
16
16
4
0
0
8
8
8
0
0
8
16
8
0
0
2
2
4
16
1
0
1
1
1
1
4
8
8
0
0
2
2
2
2
4
4
6
6
28
8
8
40
16
0
8
0
0
0
16
16
16
12
4
5
1
1
1
1
16
0
0
29
29
8
16
16
1
2
2
3
2
2
2
8
16
8
0
8
8
8
8
8
8
4
4
28
2
16
16
4
16
4
8
8
0
8
8
8
0
4
4
0
24
24
8
8
8
0
0
0
0
8
4
1
1
0
0
0
16
4
4
16
24
8
8
8
16
2
2
2
2
16
25
0
0
17
0
8
24
8
8
8
8
0
0
4
4
16
24
0
4
8
8
8
8
0
0
16
0
24
4
16
8
8
8
0
4
0
8
8
8
0
28
12
12
8
16
16
16
0
0
8
8
8
8
0
16
16
16
16
16
16
1
1
1
4
4
4
0
0
0
0
0
8
8
0
0
0
0
0
0
0
8
8
8
8
8
8
33
41
41
8
8
0
0
2
2
2
24
28
1
1
0
16
16
16
2
8
8
0
0
8
0
16
19
0
16
16
0
8
0
16
8
8
8
8
4
8
12
16
0
4
4
0
0
0
0
0
0
4
12
0
0
16
16
16
6
30
6
8
0
0
0
0
18
18
4
4
0
4
4
8
8
0
16
16
16
16
8
4
4
4
16
0
16
16
16
0
0
2
8
8
1
1
16
16
16
16
16
1
8
8
8
8
8
8
0
0
0
0
0
0
4
0
0
0
0
16
16
16
4
4
24
8
16
16
0
8
24
16
16
16
16
16
16
16
16
16
0
2
2
1
32
32
32
0
0
0
2
16
8
16
0
0
8
1
1
0
8
8
8
8
8
0
16
16
0
0
0
0
0
4
0
1
1
34
1
16
0
0
0
1
1
1
1
8
32
32
32
1
1
1
8
8
8
8
8
8
0
0
5
5
10
0
0
16
16
18
16
16
16
0
0
37
0
1
1
6
6
0
16
16
16
16
17
17
0
0
0
0
4
4
0
0
16
8
8
8
0
4
4
8
24
16
16
8
8
1
1
1
1
0
0
8
8
8
16
0
32
2
2
34
34
34
2
2
2
2
8
4
12
8
8
8
8
0
8
9
1
1
0
0
1
0
8
8
8
4
1
8
0
8
0
0
0
0
8
40
8
8
8
8
8
0
4
4
0
0
16
16
8
8
8
8
8
8
8
4
8
8
0
16
16
4
8
8
8
24
24
0
0
24
0
8
16
16
0
0
8
8
8
0
1
8
8
8
1
8
8
8
8
8
8
8
4
4
4
16
16
16
16
16
8
8
8
0
0
20
4
0
8
16
16
16
1
0
16
0
16
0
16
26
0
4
8
4
0
4
12
8
8
20
17
16
0
8
0
1
1
1
8
8
21
21
0
0
8
16
16
24
28
8
0
0
8
8
0
0
8
8
0
1
4
12
4
4
24
25
24
0
32
32
32
8
8
20
20
0
4
1
5
1
11
3
8
16
4
4
4
4
16
16
1
2
4
4
8
8
8
0
8
16
16
0
0
0
12
12
4
8
8
16
16
16
16
16
0
4
16
24
16
16
0
0
0
8
0
0
0
8
8
8
16
0
0
0
8
8
8
8
32
32
32
8
8
8
16
0
16
0
0
8
16
0
0
8
16
8
8
20
1
32
4
4
8
8
8
48
48
48
4
0
24
16
4
4
4
8
8
32
33
32
4
8
8
0
0
9
9
9
9
0
0
16
16
16
0
0
8
8
8
8
8
8
8
34
34
2
16
2
0
1
16
16
16
8
16
32
32
2
2
0
16
8
8
8
28
28
8
16
24
24
0
8
8
12
12
16
16
16
0
0
0
0
0
0
8
0
0
0
0
16
16
16
16
32
0
16
2
2
2
8
0
0
4
8
8
16
16
16
16
0
1
16
16
0
24
8
8
8
8
8
13
13
16
1
1
16
16
16
16
16
16
16
16
16
32
0
5
24
24
0
8
8
17
16
16
4
4
0
0
0
32
16
16
16
16
16
12
12
0
0
0
16
16
8
4
0
4
0
8
0
0
0
8
8
8
50
0
0
8
16
16
16
16
8
16
8
8
8
2
2
8
8
2
2
10
8
8
2
16
16
16
16
0
8
5
4
8
12
0
4
1
8
20
4
4
0
0
4
8
28
1
8
8
16
8
0
2
2
8
0
16
0
0
8
8
8
8
8
8
8
16
0
12
12
8
1
1
1
1
20
20
4
4
4
0
4
4
8
8
0
20
0
2
16
0
0
1
1
1
16
16
1
1
8
8
24
24
0
16
4
4
16
16
0
8
24
24
8
8
0
0
16
16
16
4
16
20
16
0
0
16
16
0
4
4
1
1
1
1
2
2
0
8
8
8
16
16
0
0
0
4
0
0
0
0
8
8
0
2
8
8
8
16
0
18
16
16
8
8
8
16
12
2
1
1
0
8
8
24
8
0
32
8
8
12
8
8
32
0
8
8
8
2
2
2
16
0
0
16
16
16
4
16
16
24
0
0
16
16
4
4
0
8
8
8
8
0
40
8
8
8
0
0
8
0
0
16
16
0
16
16
16
16
2
2
2
8
0
0
16
16
0
16
16
16
8
8
8
8
8
16
24
16
0
0
8
16
8
4
8
0
0
0
0
18
18
2
18
18
2
2
0
32
16
16
16
4
6
32
16
2
2
16
8
8
8
0
16
8
8
0
0
0
0
0
8
0
0
2
2
2
2
2
2
8
8
12
12
4
4
8
16
16
0
0
0
0
16
16
1
0
0
0
4
0
0
14
14
8
8
0
8
8
0
8
4
0
24
24
24
0
1
1
1
25
0
16
16
18
2
18
8
8
8
24
5
2
2
0
6
6
24
16
16
0
8
8
0
2
20
16
16
16
2
0
0
8
8
8
16
8
8
16
16
16
16
16
16
8
8
8
8
8
8
8
8
0
0
2
0
16
16
0
16
24
24
16
16
8
16
16
24
8
8
8
8
0
8
8
8
8
0
8
8
8
8
8
8
8
16
16
8
8
0
8
8
8
8
0
16
16
0
8
8
8
0
2
2
2
2
12
24
8
8
8
8
8
8
8
0
0
10
1
11
0
16
0
0
0
0
4
16
16
16
16
16
16
8
8
8
8
8
8
8
8
28
24
24
16
16
16
16
16
16
16
8
8
16
16
4
2
4
4
4
4
4
4
10
8
2
0
0
16
16
16
8
8
8
0
4
16
16
16
16
16
8
8
8
20
28
0
16
16
16
16
16
8
8
0
4
4
0
16
16
0
5
0
0
16
16
16
16
8
8
8
8
2
19
4
4
4
16
4
4
4
4
6
8
8
8
8
8
8
8
8
8
4
4
0
8
16
16
32
32
0
0
0
0
0
8
8
8
16
24
8
12
0
4
4
6
4
0
0
16
4
4
16
16
8
16
16
16
12
12
16
4
49
4
16
16
16
0
4
48
32
32
32
9
9
9
9
17
0
8
16
16
16
0
16
16
16
0
0
8
8
0
32
4
0
8
0
0
16
15
8
1
16
16
16
16
4
12
0
8
16
16
0
14
2
2
14
2
16
16
6
16
16
16
16
4
4
4
4
2
6
6
8
8
8
8
8
0
16
4
4
4
0
4
0
16
4
4
6
4
8
8
16
2
1
4
16
8
8
8
8
0
8
16
16
16
16
16
16
16
16
17
17
0
0
0
8
36
36
32
4
0
0
4
4
4
0
8
0
4
8
8
9
8
8
8
16
0
0
0
16
16
16
16
3
2
0
0
2
8
9
1
16
0
2
11
11
11
11
16
4
16
16
12
16
16
16
20
16
16
16
0
8
8
8
8
0
16
16
16
0
0
4
4
8
4
16
8
0
8
8
8
8
16
20
20
20
20
2
0
8
8
0
0
0
0
24
8
0
8
8
8
8
8
0
8
8
8
8
8
8
0
0
0
4
20
20
8
8
16
16
16
0
0
0
4
2
16
0
8
8
8
8
0
16
1
25
25
8
16
8
40
8
8
16
0
4
4
4
4
8
8
8
16
8
8
16
0
2
2
0
0
0
0
56
16
28
16
8
8
6
4
8
8
8
8
8
0
8
8
8
4
32
8
2
4
16
16
0
18
18
0
4
4
0
32
2
0
0
0
2
8
16
16
16
16
16
16
16
16
4
2
0
0
8
0
16
16
0
0
16
16
2
1
1
1
2
2
0
16
0
1
1
0
4
4
0
2
2
2
2
6
6
6
10
32
4
16
16
4
0
20
16
1
0
0
0
2
2
2
0
1
8
8
0
8
0
0
0
8
1
1
0
8
1
1
4
16
16
2
2
2
8
0
16
8
8
8
8
8
8
16
16
0
0
0
0
0
24
24
2
0
8
8
8
8
8
8
21
16
16
16
16
16
24
16
16
16
0
0
4
8
8
1
0
0
0
0
0
0
37
29
17
8
8
12
12
16
16
4
53
2
2
0
0
0
0
32
32
32
32
0
2
0
1
0
16
16
0
0
0
0
0
0
16
16
17
8
8
1
0
22
24
24
0
1
16
16
0
8
16
13
8
8
8
8
8
0
0
0
11
16
24
24
16
16
16
16
3
3
3
0
0
0
4
0
8
12
12
0
16
10
10
8
8
8
16
16
16
16
16
16
16
16
24
16
16
24
8
8
8
16
0
4
4
4
4
4
4
4
4
8
16
8
8
8
8
8
8
8
4
4
4
4
32
32
8
8
8
2
2
2
0
0
0
0
4
4
4
4
2
8
0
0
16
16
8
8
0
1
1
1
8
8
16
16
16
16
16
8
0
8
16
16
16
0
0
0
16
18
0
0
4
8
8
32
8
0
0
16
0
6
6
6
16
24
0
0
32
40
0
16
8
8
8
8
8
16
16
16
16
0
0
8
8
16
16
16
16
16
8
8
8
1
1
1
0
4
8
8
8
14
16
16
24
16
16
16
16
16
16
16
0
0
0
32
2
16
18
18
2
8
48
8
40
0
4
4
16
16
16
8
8
24
16
24
0
16
16
1
1
8
8
8
8
8
0
0
0
0
16
16
2
8
8
12
8
8
8
0
56
8
0
0
0
24
8
8
0
2
2
2
4
4
1
1
32
32
16
12
4
12
4
3
4
4
24
24
0
0
0
16
16
16
22
16
16
16
16
1
17
8
8
4
4
8
8
0
8
8
8
8
0
4
0
0
0
8
8
8
8
8
0
0
0
0
0
4
4
0
0
8
16
0
8
10
2
16
16
0
32
32
32
32
0
0
0
4
1
1
1
4
4
0
4
4
4
4
4
24
32
32
4
16
16
16
16
16
16
16
16
16
8
8
8
0
0
0
0
0
4
4
4
4
8
8
8
0
0
1
1
1
0
2
12
12
12
0
38
16
16
4
4
0
16
0
1
16
16
0
0
0
0
8
0
8
8
32
4
4
24
24
24
16
8
8
4
8
16
16
16
0
8
8
24
0
8
8
8
8
8
1
8
8
4
4
4
5
16
16
8
8
8
8
0
4
4
0
9
9
25
25
0
8
8
16
16
0
0
28
8
8
2
3
3
16
16
16
6
6
6
6
6
16
16
16
8
2
0
8
16
8
0
0
0
0
16
17
16
16
16
4
4
4
8
8
8
0
0
16
16
16
16
16
16
8
24
0
28
4
0
24
24
0
0
0
16
16
8
8
8
8
8
8
8
16
16
8
10
8
8
1
1
1
25
2
0
2
2
4
32
25
25
8
0
0
1
1
16
8
8
8
8
8
2
2
2
16
4
0
0
0
20
20
0
16
1
16
16
0
0
4
4
8
8
16
0
0
8
4
8
24
24
2
2
0
10
10
10
8
8
4
4
4
12
32
4
0
24
16
16
16
16
16
16
24
8
16
8
8
0
4
0
16
16
33
33
33
1
1
4
8
0
8
20
0
2
8
16
0
16
4
16
16
0
16
4
0
0
0
0
0
8
8
8
8
40
8
8
8
8
0
0
0
6
1
1
0
0
24
8
8
8
8
8
8
8
8
8
5
4
4
4
4
2
3
4
0
0
6
2
0
1
1
16
16
0
24
24
0
0
8
8
8
0
0
16
16
0
0
0
0
8
8
8
0
8
8
8
8
0
22
16
41
41
0
0
53
0
16
16
8
8
0
2
4
16
2
8
8
24
16
16
1
16
32
16
16
16
0
0
0
2
2
4
6
4
8
8
8
8
1
4
8
0
0
0
0
8
8
0
12
12
12
12
0
0
1
8
9
8
16
16
18
16
16
1
1
1
0
20
1
24
24
16
17
16
8
8
8
0
0
4
4
16
0
8
16
16
16
48
0
0
0
0
24
16
32
16
16
16
8
24
8
0
0
0
0
0
0
48
36
32
0
16
8
8
8
16
2
0
16
16
4
8
8
8
0
16
0
0
0
0
0
8
8
8
8
8
8
0
0
2
16
48
48
8
8
0
16
16
0
24
2
8
8
12
0
8
0
0
16
18
18
18
18
4
8
0
0
8
8
8
8
8
0
0
0
16
0
4
4
24
24
0
8
16
16
16
16
8
8
0
8
22
30
16
16
16
16
4
4
4
16
16
4
4
4
16
8
8
8
16
8
0
0
8
16
4
8
8
8
8
8
0
0
0
24
32
26
0
24
8
8
16
26
16
16
16
16
24
24
0
0
0
0
16
16
16
16
2
2
2
2
32
32
8
24
4
4
57
57
4
0
8
8
0
8
8
8
6
8
8
8
8
24
4
32
32
32
8
8
8
0
0
16
16
8
18
16
2
8
8
8
8
24
20
20
20
0
0
0
8
8
8
2
4
6
6
8
8
16
16
16
16
8
8
4
0
8
16
8
8
4
0
0
0
0
1
1
1
17
0
8
8
16
16
0
32
32
16
16
32
4
4
20
8
0
24
16
0
0
0
0
4
8
0
16
16
16
8
1
16
24
24
8
8
0
0
25
0
0
8
0
4
4
32
32
32
32
8
8
8
32
8
28
8
8
16
4
4
16
0
0
4
20
32
0
0
0
0
8
8
1
1
8
8
8
12
12
8
8
8
1
1
10
10
16
16
0
8
8
8
4
2
4
24
16
24
24
24
0
16
16
0
0
8
8
4
4
4
4
0
17
17
0
0
8
8
24
24
8
16
0
0
16
0
16
16
16
16
16
12
8
4
4
1
16
16
4
16
0
0
0
16
16
16
16
16
0
8
0
16
8
4
20
4
4
4
16
16
0
4
12
4
20
0
28
16
4
0
8
0
44
8
0
8
0
0
4
4
4
16
0
0
4
4
16
8
8
8
8
14
2
0
5
8
8
16
24
16
16
16
16
16
4
4
0
18
18
12
8
8
0
4
32
0
0
8
8
20
24
8
0
0
0
16
4
0
0
0
20
20
20
8
16
8
8
8
8
16
16
4
8
0
0
0
0
0
0
8
8
8
8
8
2
2
2
12
12
2
2
2
0
4
4
4
0
0
16
0
0
8
24
24
24
24
16
16
8
2
2
2
2
1
1
0
0
8
8
8
8
8
8
8
2
8
4
60
20
2
32
32
32
4
4
16
16
0
2
1
8
1
1
2
1
16
16
16
13
8
8
8
8
8
0
8
8
0
8
8
8
17
1
0
4
4
4
8
2
2
2
2
0
0
4
16
0
0
0
0
18
18
4
8
0
0
0
48
2
0
0
1
9
1
1
2
4
4
4
8
16
16
8
0
0
8
8
8
0
1
1
3
1
12
1
8
8
1
1
1
1
8
0
8
8
8
8
8
0
0
0
24
8
16
32
32
8
0
4
0
0
8
8
8
8
0
8
0
16
28
20
16
0
32
32
32
32
2
0
16
0
16
2
50
2
16
1
0
8
8
0
27
27
27
8
8
0
0
8
0
1
1
20
8
59
59
59
16
16
16
4
4
4
4
19
16
16
16
0
0
2
16
40
0
8
8
16
0
0
0
16
16
0
0
6
2
0
16
16
0
0
16
16
16
1
1
1
32
32
32
4
4
4
8
16
0
10
0
32
0
0
0
1
40
8
0
2
0
0
16
0
16
8
8
8
8
1
1
16
16
16
4
4
8
0
8
16
16
8
4
4
4
0
0
0
9
4
8
0
8
8
2
2
4
0
0
16
0
0
20
20
16
16
16
3
4
4
4
16
0
12
0
8
8
8
8
0
0
8
8
0
4
4
4
8
12
8
8
8
0
0
0
16
16
8
8
56
24
8
0
10
8
0
0
32
0
0
2
2
4
8
0
0
0
0
0
0
0
0
16
16
4
4
4
1
17
0
16
16
16
16
0
0
0
0
0
32
32
4
4
0
9
9
9
28
8
8
2
8
8
2
0
0
0
8
8
8
4
4
16
8
28
16
0
4
4
16
16
16
10
10
6
6
4
32
0
0
8
48
48
0
8
0
0
16
16
24
16
4
4
16
8
0
4
4
4
0
0
0
2
2
2
0
25
25
0
0
0
8
8
8
8
1
0
0
16
16
16
0
0
0
8
8
8
8
0
0
31
10
10
0
0
0
0
0
16
8
2
10
0
0
16
16
0
12
12
12
12
12
0
24
16
16
8
0
16
0
16
16
2
2
0
24
24
4
8
4
8
8
0
2
2
2
16
16
0
0
2
2
8
8
10
8
8
4
2
1
16
16
16
8
8
8
0
0
0
0
0
0
0
8
0
0
8
1
3
0
0
0
16
16
16
16
28
0
0
8
8
8
16
8
8
0
0
0
0
0
0
0
8
8
8
0
8
8
8
8
8
0
1
1
1
8
0
0
0
24
1
8
8
16
16
0
8
8
0
0
1
0
16
0
4
8
2
16
2
18
16
16
16
40
8
8
8
8
8
8
31
16
8
8
0
0
4
4
0
1
1
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
16
16
16
16
16
16
16
16
16
0
0
0
0
0
0
0
59
16
17
17
0
2
1
0
0
0
16
0
0
0
0
0
0
1
1
1
16
2
2
2
8
8
8
0
8
0
16
0
2
2
2
8
4
4
24
0
0
0
0
8
0
4
4
4
4
4
4
8
8
8
8
4
4
4
0
0
0
16
2
18
0
16
16
0
24
16
4
4
4
0
24
25
2
8
8
8
16
0
0
16
0
0
0
0
16
16
1
0
0
0
0
0
0
0
0
0
32
16
16
0
0
4
4
8
8
9
9
0
2
2
16
16
0
8
8
16
16
0
2
2
8
20
16
20
20
5
0
0
4
4
4
2
2
28
4
4
4
18
2
0
0
0
8
4
0
0
16
16
8
8
0
0
0
0
4
4
4
4
0
0
0
1
8
8
10
8
0
8
10
4
12
8
8
8
8
0
4
0
0
8
16
8
8
0
24
8
8
8
0
0
0
4
16
16
0
0
0
16
18
16
2
2
0
32
0
0
0
8
4
4
16
1
1
1
16
0
0
8
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
16
0
0
16
0
0
12
24
2
24
24
1
24
24
8
8
4
4
0
0
0
2
16
16
0
40
40
0
0
0
0
20
4
8
40
40
2
2
0
0
0
0
0
0
16
17
0
8
8
8
8
6
1
11
0
16
9
9
0
16
16
16
0
0
0
0
0
0
0
8
0
16
16
0
8
8
8
8
8
0
57
32
25
0
0
0
0
0
0
0
0
4
4
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
2
2
0
26
0
0
16
16
16
18
0
0
16
16
16
8
8
0
0
0
0
0
0
16
16
1
8
0
0
4
4
4
16
16
16
16
16
0
8
8
24
24
0
4
8
16
8
8
8
8
8
8
8
4
6
4
0
0
0
0
0
0
2
2
0
4
0
1
16
16
10
8
16
4
4
4
4
8
0
16
16
16
16
16
16
16
16
16
2
0
0
0
0
18
18
18
0
4
6
4
0
0
0
0
0
0
8
8
8
8
8
8
0
8
8
16
8
8
0
4
0
16
16
0
2
8
2
0
0
16
0
0
8
8
8
4
4
4
4
16
8
24
16
16
0
16
4
4
16
16
8
0
0
0
0
8
0
0
8
8
8
8
8
8
8
16
8
4
16
0
0
8
8
0
0
2
4
0
0
0
0
0
0
2
0
4
4
4
16
16
16
0
0
0
2
16
16
0
16
16
16
0
4
1
1
16
16
16
16
16
0
0
4
16
8
8
16
0
8
8
0
4
8
8
16
16
16
0
0
16
16
2
9
8
16
24
24
24
24
24
24
24
16
0
0
0
0
0
20
24
24
26
26
0
4
24
8
8
8
0
8
0
0
16
16
16
16
16
16
16
16
16
16
0
0
8
8
0
0
4
4
0
0
0
0
0
8
8
35
8
8
0
2
0
0
0
4
8
24
8
16
16
16
16
8
8
0
8
8
8
8
8
8
4
0
0
24
0
4
0
0
8
8
0
0
0
0
16
16
16
16
0
8
8
0
8
0
2
2
0
16
16
16
8
0
0
0
4
4
0
4
0
0
0
0
0
16
2
2
4
4
0
0
12
0
0
0
0
0
0
0
4
0
0
0
0
56
8
8
0
0
0
4
16
16
16
16
0
0
4
0
8
8
8
1
0
24
24
16
16
0
0
8
8
8
8
8
8
8
24
24
0
0
0
8
40
8
32
0
0
17
17
17
17
0
16
0
0
0
0
0
16
16
0
0
0
16
16
16
16
16
16
2
2
2
0
0
16
16
20
24
8
8
0
8
8
8
8
8
8
8
0
24
8
8
0
8
8
0
8
0
0
8
9
8
8
0
8
16
16
16
4
4
0
0
0
8
8
8
0
2
0
32
32
11
0
0
20
20
16
16
25
17
8
8
8
16
16
16
16
8
8
8
8
16
24
24
24
1
1
4
4
4
0
0
0
8
8
16
16
0
2
2
2
0
16
16
16
16
2
2
2
2
0
0
17
17
0
8
16
16
8
16
16
0
0
0
18
20
16
16
16
16
16
0
0
16
16
0
0
0
18
40
0
4
8
16
0
0
8
0
0
0
12
12
0
2
0
1
0
4
16
8
32
32
32
2
18
0
0
1
1
17
0
1
16
0
8
12
24
16
16
1
16
1
1
8
8
16
0
3
1
1
1
16
16
4
0
0
0
0
4
4
0
0
4
8
8
8
16
16
16
4
4
6
0
0
0
0
2
16
16
0
0
4
6
6
8
8
0
16
16
0
0
16
16
16
16
0
8
16
8
0
0
0
16
16
0
0
0
4
4
16
16
16
16
0
16
1
1
0
0
0
0
0
16
16
40
8
12
0
20
20
1
0
16
0
0
0
0
0
16
16
16
4
4
16
8
8
8
0
8
8
8
8
8
8
8
16
16
16
0
2
8
2
8
16
16
16
0
24
8
4
4
4
4
4
0
24
24
24
24
0
16
0
0
0
0
0
0
20
20
16
0
8
8
4
4
4
0
6
6
6
0
0
1
16
16
16
0
0
0
16
16
16
16
4
16
16
2
2
16
2
0
0
0
12
0
0
0
2
2
0
4
0
0
0
2
0
0
0
0
0
0
0
4
4
0
0
0
0
0
16
16
16
16
16
24
24
24
24
16
16
16
16
6
24
24
16
16
0
0
0
0
8
8
0
12
8
8
8
8
8
8
2
2
1
1
0
0
0
0
9
9
9
28
28
28
0
0
16
16
16
24
16
16
8
8
0
0
0
0
0
0
0
4
4
4
4
0
16
8
16
8
16
16
4
16
0
0
0
0
6
9
0
8
8
0
0
0
0
0
27
0
0
0
0
8
8
12
8
0
0
0
0
0
0
8
8
8
0
8
8
8
24
8
8
0
0
8
24
8
8
8
16
0
16
17
4
8
0
8
0
0
4
4
4
4
0
16
0
2
2
0
0
0
0
8
8
16
16
0
8
8
1
16
16
0
2
0
16
16
8
16
0
8
8
8
24
4
8
8
8
40
40
0
0
0
0
0
0
0
0
4
4
16
8
32
32
8
8
16
17
0
16
8
0
0
0
16
16
16
8
0
0
4
4
4
16
0
0
0
0
4
8
8
8
8
8
8
0
0
2
2
2
2
0
0
1
1
16
0
0
0
0
0
16
8
8
8
17
17
0
0
0
16
16
0
0
0
0
16
16
16
0
0
16
16
5
5
5
0
0
0
16
32
0
0
4
2
16
2
2
2
0
0
0
0
0
0
32
32
32
0
0
24
0
0
0
0
25
25
25
20
20
0
0
0
0
0
8
8
16
8
8
8
8
8
4
16
16
16
16
0
16
16
16
4
4
0
0
2
2
24
8
8
0
28
8
14
0
0
4
4
4
8
8
16
0
4
8
8
8
8
8
8
0
2
0
32
16
8
8
17
32
0
25
25
16
16
16
16
0
0
8
12
17
0
0
4
4
4
0
0
0
16
8
8
0
16
0
0
4
0
0
0
1
1
1
16
16
0
0
0
12
0
16
16
16
0
4
0
0
16
16
16
40
40
8
0
0
0
16
16
16
16
16
16
16
16
16
16
0
0
0
4
4
4
11
16
16
16
0
20
20
8
8
8
12
0
4
4
4
8
8
8
8
8
8
8
8
8
8
16
16
24
24
24
0
4
8
0
0
20
0
0
0
4
0
0
16
8
8
0
0
0
0
8
8
0
0
12
8
4
4
4
4
8
1
0
0
16
16
3
4
4
8
8
0
0
0
8
8
8
8
0
0
0
0
0
12
12
12
4
0
0
0
0
8
8
0
0
4
0
4
4
4
0
0
0
2
16
1
1
1
1
1
0
0
0
8
8
16
4
8
8
8
0
0
16
16
0
2
2
2
2
8
8
8
8
2
8
0
0
8
0
0
0
0
8
8
8
0
0
8
0
1
16
16
16
32
8
8
40
40
0
6
6
0
0
0
0
16
0
20
20
16
16
8
8
8
8
0
0
4
4
20
4
8
0
10
10
10
16
16
24
0
0
0
2
0
0
0
0
1
0
24
24
0
0
16
16
16
0
0
16
16
16
26
26
8
8
0
8
8
8
8
0
8
0
0
8
8
8
0
0
0
0
4
4
4
4
4
0
21
8
8
8
24
24
0
0
0
2
2
16
8
0
0
0
0
0
0
0
18
18
18
18
18
0
2
1
3
0
0
0
0
2
1
4
4
4
4
24
1
25
0
0
0
16
16
16
1
0
0
8
8
8
8
8
4
4
4
4
4
1
1
16
16
16
16
4
4
32
32
0
0
0
0
0
0
0
8
0
2
2
2
16
16
24
24
16
24
8
24
24
24
4
4
4
4
4
4
4
4
4
4
1
1
1
1
1
1
1
1
1
1
9
9
9
9
9
0
0
0
0
4
4
8
8
8
1
1
1
0
0
8
8
1
1
1
1
18
2
2
16
8
2
3
2
2
2
2
2
4
4
4
4
4
0
16
16
4
4
4
4
8
8
8
18
25
25
4
8
24
24
2
2
2
24
24
24
24
24
8
8
8
8
0
8
8
8
8
8
8
8
8
8
8
8
44
44
44
0
16
8
8
8
8
8
2
2
2
16
16
16
16
16
8
8
8
11
11
16
8
8
8
8
0
0
4
4
37
8
8
8
8
12
8
8
8
0
2
2
2
2
8
8
8
8
8
8
0
0
16
16
0
16
16
16
16
16
1
1
1
1
8
8
4
4
4
4
4
16
16
16
16
32
32
8
32
32
32
16
32
32
40
32
1
5
5
5
5
8
4
4
4
4
16
16
0
0
0
1
16
17
16
16
16
20
20
20
0
32
20
16
24
8
17
17
16
8
8
8
8
16
16
16
16
16
16
24
24
0
0
0
0
8
8
8
8
8
0
0
8
8
8
8
16
16
16
32
32
20
20
20
2
2
2
2
2
18
18
2
2
4
2
10
4
4
4
4
0
20
4
8
4
24
8
8
8
8
1
2
2
17
0
0
0
0
0
8
8
8
8
4
4
4
4
1
1
4
4
8
4
16
48
8
1
1
4
28
8
8
16
16
0
0
8
8
8
49
8
8
8
8
8
8
2
0
16
32
48
8
16
16
16
16
16
16
8
8
8
8
9
9
8
16
16
16
16
16
0
4
4
4
16
16
16
16
16
16
16
16
0
0
8
8
8
24
16
16
16
16
16
16
16
16
16
16
16
16
0
8
0
0
1
25
0
1
16
16
1
4
4
4
4
4
0
0
8
9
0
16
48
16
16
8
4
4
8
8
8
8
8
16
4
4
8
8
2
16
16
16
16
0
8
8
8
8
8
16
16
2
2
2
2
16
16
16
4
8
8
8
8
8
8
8
8
8
0
16
16
16
32
2
2
2
16
19
1
1
0
8
8
8
1
1
16
16
8
32
32
16
16
16
16
16
16
0
0
8
1
16
16
16
18
16
16
8
8
8
8
16
16
16
0
0
28
3
24
8
8
0
16
16
16
16
16
0
0
0
16
16
16
12
4
8
8
1
8
4
12
12
4
4
8
2
2
2
2
2
18
2
2
2
16
2
24
24
8
8
8
8
8
8
8
8
8
8
8
8
8
0
8
8
24
16
16
16
16
16
16
16
0
0
16
16
16
16
16
16
16
16
16
16
16
16
8
8
24
8
8
8
2
2
8
32
20
16
16
16
16
16
8
16
0
8
16
12
8
8
8
16
16
16
16
16
16
16
26
2
2
8
0
0
16
4
4
5
5
8
8
8
2
2
17
17
17
17
17
16
0
8
8
22
22
17
17
16
1
16
16
16
8
8
32
8
16
16
16
16
16
0
16
16
4
4
16
16
16
16
16
0
0
0
4
16
8
8
8
8
25
8
8
8
1
1
1
16
2
16
16
16
4
4
16
16
16
16
16
8
18
18
18
33
33
33
16
8
8
8
8
8
0
0
1
1
1
1
1
0
0
0
16
16
16
33
33
2
2
8
8
0
32
44
44
44
8
8
8
4
4
4
4
4
4
4
16
0
0
0
0
0
32
32
32
8
8
8
8
16
16
4
0
0
8
8
0
24
24
8
16
16
16
16
0
8
12
0
0
8
0
0
6
4
4
4
16
5
16
0
24
4
4
8
8
0
16
0
0
0
0
0
0
0
0
0
0
16
16
16
8
8
56
24
0
16
4
4
16
48
8
8
1
1
8
0
8
8
8
6
6
22
6
16
16
16
0
0
40
8
8
33
32
1
4
4
4
1
0
16
4
6
0
0
0
0
0
1
16
4
16
9
9
16
16
16
32
17
17
17
17
17
17
17
1
1
1
16
16
0
8
8
8
8
8
8
8
8
32
5
5
2
16
16
16
8
8
8
8
8
8
8
8
8
8
8
16
16
16
16
16
16
2
2
4
4
4
8
16
8
8
4
4
4
4
1
1
1
1
24
24
24
24
24
20
20
9
9
16
32
32
0
0
2
2
2
4
8
10
8
8
8
16
16
16
16
20
16
4
8
16
8
0
28
32
28
28
28
12
4
4
32
32
32
32
32
32
32
4
4
4
4
4
0
8
8
32
32
16
8
8
2
2
2
0
0
0
0
0
8
8
48
48
48
4
4
4
3
16
19
19
16
0
0
16
2
7
3
0
4
4
4
4
8
8
8
2
16
0
1
16
16
24
16
16
16
32
32
32
8
32
32
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
16
8
8
8
16
8
8
0
0
0
1
1
1
0
1
1
1
4
8
4
0
0
1
1
2
2
1
8
8
8
0
0
24
24
8
0
8
8
8
16
0
16
16
16
16
16
8
2
2
16
16
16
4
4
16
16
16
16
0
0
0
0
0
0
8
8
8
8
8
8
8
8
2
2
2
2
2
2
8
8
8
8
0
16
16
16
28
8
8
8
8
16
16
16
16
16
16
16
16
16
16
16
16
2
24
1
1
1
1
1
4
0
0
0
0
0
0
0
2
2
16
16
8
1
1
8
8
8
8
8
8
0
0
0
8
8
8
8
16
16
0
0
0
0
0
0
1
1
12
4
4
12
32
0
1
16
16
16
1
1
1
1
1
0
0
4
16
40
16
32
16
2
4
4
4
4
0
0
8
0
8
8
8
8
2
2
1
1
1
1
1
1
1
1
0
0
32
32
32
8
8
8
8
0
2
8
0
16
16
16
16
16
16
16
16
16
8
4
4
4
4
4
24
16
0
8
9
8
8
0
8
8
8
56
29
2
16
16
16
2
22
2
12
12
12
8
1
1
8
8
8
1
1
1
1
8
0
24
24
16
8
16
4
4
4
5
6
4
4
16
4
12
12
16
1
1
9
1
1
2
2
16
16
8
8
8
0
0
0
0
41
4
8
16
24
16
16
16
16
16
8
8
8
8
8
8
16
16
0
16
16
16
4
4
6
32
16
16
16
8
8
24
24
8
2
8
16
0
4
8
13
1
1
16
16
16
8
8
8
16
16
8
8
0
0
0
0
0
16
16
16
16
0
8
16
16
16
16
16
16
8
0
0
0
0
0
0
16
16
16
16
16
1
1
1
1
16
16
16
16
20
20
20
20
20
20
20
8
12
8
8
8
8
8
8
24
0
8
8
8
8
24
24
8
8
8
4
4
4
4
8
8
8
8
8
8
8
8
8
8
0
8
8
8
8
8
8
16
16
16
16
0
0
0
16
0
0
16
16
16
16
16
24
8
8
8
0
31
31
31
8
8
8
8
8
8
16
16
16
16
0
0
0
0
1
1
1
1
1
8
8
8
8
8
8
0
2
8
10
32
32
0
0
0
0
24
24
16
2
2
8
8
8
8
8
8
16
0
0
0
16
16
16
16
2
2
2
2
0
0
0
0
0
0
16
16
8
0
0
8
8
8
8
8
16
16
0
2
2
0
8
8
24
1
1
0
16
0
0
0
0
0
0
4
4
0
16
16
8
8
8
8
8
8
8
16
16
16
16
4
2
2
2
8
8
8
8
8
1
8
8
0
0
0
16
24
24
24
16
16
16
0
16
16
16
24
16
0
0
0
0
8
8
8
4
8
0
8
0
16
16
8
16
8
8
24
0
8
16
16
16
16
16
16
16
16
4
4
8
8
0
0
0
0
0
0
8
8
8
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
8
16
16
16
0
0
16
16
0
0
0
16
16
16
16
17
16
16
16
0
0
8
8
0
16
16
16
16
16
16
16
1
16
16
8
8
8
8
8
9
9
8
36
4
4
4
4
4
2
8
8
8
0
8
8
8
0
0
0
8
8
8
8
8
8
8
1
1
1
1
1
2
1
2
2
0
0
8
8
16
26
8
8
8
4
4
16
16
16
8
8
8
8
16
16
16
0
10
0
16
8
8
8
1
1
1
39
2
2
2
2
2
2
2
2
4
6
6
6
25
25
8
8
8
8
8
0
4
4
4
4
32
32
0
0
0
20
4
4
4
16
17
8
0
8
24
8
1
0
0
32
4
32
32
32
1
1
16
16
16
16
16
16
16
1
1
0
8
0
41
8
16
16
24
8
0
0
0
0
1
1
1
1
1
48
48
48
8
24
24
8
8
8
8
16
16
8
16
16
16
16
4
4
0
0
12
12
8
8
8
8
8
8
8
16
16
16
0
0
16
24
20
20
0
0
8
0
16
0
8
8
8
8
2
2
16
1
8
8
0
4
4
4
4
32
4
4
4
4
4
0
0
0
0
0
0
8
8
8
8
4
4
0
0
0
1
1
1
8
32
32
18
2
1
2
2
16
0
0
0
0
0
8
8
24
12
12
0
0
1
2
3
32
32
32
32
32
32
2
16
16
16
16
12
0
0
8
8
8
8
0
1
8
8
8
0
0
1
1
1
20
20
20
16
16
16
16
16
16
16
33
33
33
33
4
4
4
4
4
4
4
4
4
4
4
8
0
0
28
16
16
8
8
8
0
8
8
8
8
8
4
4
4
1
8
8
8
8
8
48
8
8
8
16
16
16
16
16
16
0
16
8
8
8
4
4
0
2
8
8
8
2
8
8
0
12
12
16
16
0
0
0
4
16
16
0
1
17
1
1
8
8
8
4
16
16
4
17
16
16
16
16
4
20
4
4
4
8
16
16
8
16
16
16
16
0
24
4
16
16
8
16
12
12
4
4
4
4
4
4
1
1
1
32
32
8
8
8
16
17
16
1
0
0
4
4
4
8
8
8
8
8
8
8
8
4
4
4
4
18
16
0
0
8
17
1
16
17
1
8
1
1
2
2
2
2
24
24
0
0
16
16
16
16
16
16
0
16
16
16
16
16
16
16
16
16
16
16
8
8
32
32
32
24
8
24
1
1
8
8
24
8
8
4
4
0
2
32
32
32
32
8
12
8
0
0
0
0
4
0
1
16
0
1
40
40
32
32
0
0
8
0
0
0
8
8
16
8
1
33
1
1
1
1
1
8
8
8
8
8
8
16
16
0
0
0
16
16
16
16
16
8
16
4
8
2
2
2
2
0
0
1
1
1
1
8
8
8
8
8
16
8
8
16
24
24
24
8
8
8
8
0
0
8
16
4
6
6
6
8
8
16
8
16
1
1
1
8
8
8
8
8
8
8
8
8
8
4
4
16
4
16
0
0
8
32
32
32
12
0
41
41
0
0
0
8
8
8
8
16
16
16
16
8
8
8
8
8
0
8
5
5
5
5
5
0
8
8
8
8
8
16
20
16
16
8
8
0
16
16
16
16
16
8
8
8
8
8
8
8
8
8
0
16
16
16
16
16
16
16
16
16
16
16
8
8
16
0
4
4
4
2
2
2
2
16
0
8
8
8
0
0
0
0
8
8
8
24
24
0
0
8
8
0
0
0
0
0
0
0
8
16
16
18
18
18
1
9
1
9
1
4
16
20
4
16
4
4
31
4
0
24
1
8
1
4
30
0
16
20
16
16
0
7
7
7
16
16
16
5
16
8
16
16
16
20
0
0
16
16
16
16
20
4
20
20
8
16
16
16
16
0
0
16
16
16
8
8
1
32
0
0
0
16
16
16
0
2
2
2
2
2
8
8
24
8
8
8
8
16
40
0
0
25
32
32
8
0
0
0
4
4
32
32
0
16
16
24
16
0
2
8
0
0
0
0
0
0
8
1
5
1
8
16
16
0
0
0
4
4
8
8
8
40
8
8
0
0
0
0
1
1
1
32
16
16
16
16
24
24
16
8
9
8
1
1
8
1
1
4
16
4
4
0
0
0
8
8
8
0
0
0
0
16
16
8
8
8
0
8
8
28
1
1
40
16
16
32
32
32
32
2
2
2
2
0
0
2
2
8
0
8
8
1
1
1
8
8
8
8
8
8
26
32
32
0
16
24
24
4
4
4
0
0
8
8
8
8
8
8
24
24
1
17
1
0
4
4
4
4
4
4
8
0
0
0
0
0
0
8
8
16
16
32
32
32
32
25
24
16
8
16
16
16
16
16
16
16
16
16
16
16
16
16
32
32
32
32
32
32
0
0
0
4
4
16
16
16
16
8
8
40
40
8
16
16
16
16
4
18
18
18
0
16
16
16
16
8
8
8
8
8
48
0
2
0
8
8
8
8
4
4
1
1
1
16
32
48
16
8
8
8
8
8
8
8
0
12
8
12
8
8
0
16
0
4
4
4
4
4
4
4
0
0
5
1
8
8
8
0
8
8
8
8
8
8
8
8
8
8
24
24
24
24
24
24
9
9
0
0
0
0
8
2
2
2
2
2
9
8
8
8
0
0
2
2
8
8
16
8
8
16
16
16
0
0
0
16
16
16
2
2
16
8
16
24
56
24
24
0
32
32
32
8
1
2
2
2
0
0
8
8
8
32
8
8
8
0
4
0
8
8
8
8
16
16
16
16
56
16
16
16
16
16
16
16
16
16
32
16
16
8
53
32
49
49
8
0
0
16
16
0
0
0
8
8
4
8
8
8
8
8
8
8
16
32
16
0
4
8
12
4
16
16
0
0
0
4
8
8
8
8
8
8
8
16
16
2
8
8
8
8
8
8
8
8
8
4
4
4
4
4
4
4
24
4
8
0
0
8
0
24
16
16
16
8
8
8
16
16
16
16
16
2
2
16
10
16
16
0
0
32
32
32
32
32
32
32
32
32
0
0
0
32
32
32
32
32
32
8
8
0
8
4
8
16
16
16
16
2
2
8
8
8
8
8
4
4
4
4
4
4
4
4
8
8
8
4
4
0
0
0
24
24
24
24
1
16
16
4
4
8
16
16
0
0
0
8
8
8
0
0
0
0
8
8
0
0
1
1
1
1
4
4
4
4
8
8
24
8
8
8
2
2
2
2
1
1
1
48
16
16
8
8
0
4
8
8
16
32
8
8
8
8
8
8
8
0
12
4
5
5
8
0
0
16
16
16
16
8
8
8
8
8
2
2
2
2
2
8
8
16
8
8
1
1
1
9
16
16
16
16
16
16
16
16
8
16
0
8
32
0
0
0
0
0
8
8
0
0
0
0
0
16
16
16
16
16
16
24
8
8
12
8
8
16
16
16
16
16
16
16
16
1
24
16
16
16
16
0
4
4
4
1
1
1
32
8
8
8
8
8
1
1
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
8
9
8
8
10
2
1
1
1
1
1
2
0
48
32
32
32
4
4
4
4
1
1
1
4
1
4
0
16
4
16
16
16
16
10
5
0
8
8
8
57
57
4
2
2
8
16
24
0
0
0
32
8
8
32
0
0
16
8
8
8
8
32
32
32
32
32
32
32
2
0
8
8
8
8
8
8
8
8
8
8
1
1
4
1
4
4
4
4
4
17
17
17
18
18
18
0
0
0
0
0
0
8
8
8
8
16
16
16
8
16
8
24
16
20
16
0
16
16
16
16
16
16
0
8
8
8
16
16
16
0
8
8
8
16
16
16
4
20
24
16
8
8
8
8
0
8
16
8
16
0
0
16
16
16
4
4
4
4
4
1
1
1
16
16
8
8
8
8
8
8
1
1
16
16
16
16
8
0
0
32
32
0
0
8
8
16
18
18
18
18
32
0
0
16
16
16
0
1
1
1
1
1
8
8
8
8
16
16
16
16
17
4
4
4
4
4
0
0
0
0
0
0
24
24
24
24
16
16
8
8
16
16
16
16
32
0
0
32
33
33
48
1
4
4
2
16
16
16
32
32
32
24
16
8
24
16
16
16
4
4
4
4
16
16
0
8
8
17
17
0
0
28
28
8
8
16
16
16
16
16
16
12
0
1
1
8
8
8
8
8
8
8
8
16
1
8
0
1
32
8
8
20
20
20
20
20
2
2
2
8
8
8
32
32
32
32
32
32
32
16
32
32
32
32
32
8
8
16
24
16
8
4
4
4
4
8
8
8
8
8
8
8
8
8
1
1
1
4
4
4
4
16
16
16
24
24
24
24
24
8
8
24
24
2
2
0
24
24
24
16
16
28
16
16
16
0
0
12
8
8
8
1
22
22
24
16
8
28
20
8
8
16
16
16
2
2
16
16
16
8
16
8
41
16
16
8
8
8
8
8
8
8
16
24
24
24
24
8
8
32
8
8
8
8
8
8
8
8
8
20
4
8
16
1
25
1
8
8
8
0
8
16
16
16
8
16
0
0
8
8
1
1
0
0
0
4
18
0
8
8
8
8
8
8
0
0
0
1
1
1
1
1
1
24
24
0
0
16
49
49
0
0
16
0
8
8
8
0
0
0
4
2
2
16
8
16
24
4
16
16
16
16
16
24
8
16
16
16
8
16
0
16
8
8
0
1
1
16
8
16
24
16
16
16
16
16
16
0
16
24
16
42
42
42
32
32
32
8
20
32
4
8
8
8
0
0
16
16
12
4
8
12
0
16
16
8
8
9
0
1
1
32
16
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
21
21
2
2
2
2
2
2
6
1
1
0
16
24
8
8
8
8
8
8
1
1
1
1
16
16
16
16
16
49
49
1
1
8
8
8
16
16
16
16
1
1
1
1
22
16
8
8
0
0
0
0
0
0
0
0
0
8
8
8
0
0
16
16
1
17
0
8
8
0
4
20
20
20
20
16
16
2
4
8
8
8
0
8
8
4
4
4
4
4
4
4
8
8
0
4
1
1
8
8
8
8
8
8
16
24
24
24
16
0
16
16
15
4
1
1
1
1
1
16
1
8
8
8
16
24
24
8
24
24
0
8
8
8
16
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
16
16
16
48
48
48
48
1
1
1
8
0
2
2
2
2
1
1
1
1
1
1
1
8
24
24
24
24
24
24
0
0
16
16
16
16
16
8
4
8
0
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
8
18
18
8
8
8
8
8
8
2
2
4
8
4
4
2
2
2
0
8
8
8
8
8
16
4
4
20
8
8
8
20
4
12
12
8
8
8
8
16
16
16
16
12
1
16
16
16
16
16
16
16
16
16
16
8
4
4
4
8
8
8
8
8
8
8
8
8
16
16
16
16
16
16
8
8
8
8
16
16
16
8
4
4
4
4
4
16
16
16
8
8
0
8
8
0
18
8
8
8
3
3
1
0
0
8
9
8
8
8
8
4
16
20
16
16
16
16
16
16
16
16
16
0
16
52
16
16
8
4
0
8
8
8
8
8
8
8
16
16
16
16
8
8
8
44
44
56
8
8
16
2
2
2
16
8
0
2
2
0
2
2
2
0
20
16
4
24
8
8
8
8
8
0
0
0
0
0
0
8
8
1
0
0
16
16
16
16
21
24
2
10
16
16
8
8
8
24
24
1
1
1
1
8
8
24
32
16
8
8
1
1
1
1
1
0
0
0
0
0
8
8
0
0
32
32
40
16
16
16
8
8
8
8
8
8
8
8
8
8
8
8
8
4
20
20
0
0
30
4
4
4
2
2
2
2
4
0
0
8
8
8
9
9
9
8
8
8
16
8
8
1
8
8
16
10
8
2
10
1
1
0
0
0
16
24
0
0
0
8
8
8
4
22
22
0
16
16
16
16
16
16
16
16
16
32
16
48
48
1
1
1
16
32
16
20
2
2
2
16
0
0
0
0
1
1
8
8
8
8
8
10
28
28
28
2
2
16
16
8
16
24
0
0
16
16
16
16
8
8
9
9
9
9
9
4
4
8
24
8
16
4
16
16
8
2
0
8
16
16
3
43
1
1
0
0
0
0
0
0
0
0
3
32
16
16
0
8
8
8
8
8
8
16
16
16
1
1
1
1
8
8
16
16
16
16
0
2
2
16
16
0
0
0
8
8
8
8
4
23
1
1
1
8
8
8
8
0
1
1
8
8
16
16
24
16
16
16
16
16
16
16
8
8
8
4
4
25
25
25
25
0
0
0
8
0
4
0
8
24
24
0
0
4
16
8
8
8
8
8
8
8
2
2
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
16
16
16
8
48
16
16
24
16
8
8
8
8
0
8
0
9
1
8
8
8
8
0
0
0
0
0
0
0
8
8
0
8
8
0
4
1
32
32
16
16
16
0
16
16
16
16
40
16
16
1
16
1
1
1
16
16
1
1
1
1
1
8
8
8
8
24
24
8
8
8
18
18
18
0
0
0
16
0
0
0
0
0
0
0
8
8
0
4
16
16
16
16
16
16
0
4
0
0
0
2
2
2
16
16
2
1
18
18
18
0
0
0
8
8
8
8
1
16
16
8
8
16
54
4
4
4
4
16
8
8
12
12
12
12
12
8
8
16
16
0
32
32
32
32
32
4
4
4
8
8
0
0
8
8
8
8
8
16
16
4
4
4
4
4
4
4
4
4
8
0
2
8
4
4
8
8
4
0
0
0
0
12
3
2
1
1
8
20
20
20
0
0
16
16
4
4
0
8
3
2
16
2
0
16
8
8
8
16
16
16
16
16
0
0
0
8
8
1
8
8
16
24
16
16
8
0
0
2
8
16
16
16
4
4
12
12
8
2
2
2
0
0
16
1
8
0
1
0
16
16
8
8
8
12
12
0
0
8
8
8
8
2
2
2
2
0
8
12
4
4
18
16
32
18
0
0
17
0
0
0
9
8
4
4
8
0
0
32
16
8
16
16
16
16
1
1
1
1
1
1
1
1
1
1
8
8
8
8
24
8
8
8
8
8
32
32
0
0
0
8
8
16
8
16
16
16
1
16
16
8
0
8
8
0
3
3
3
3
3
8
8
8
8
8
16
16
0
0
0
1
8
8
8
8
8
8
8
8
8
16
16
16
8
8
1
16
16
8
16
16
8
16
16
8
0
0
0
0
0
32
32
32
32
8
8
1
2
8
10
0
0
0
1
1
16
16
16
16
8
8
8
8
8
8
16
16
16
16
16
16
16
16
16
16
16
8
8
9
9
8
8
28
12
4
4
4
32
32
32
25
4
48
32
16
16
8
8
16
16
0
0
8
0
16
16
16
16
8
8
8
8
4
16
16
16
16
16
16
16
16
16
16
12
4
12
8
56
16
16
16
1
1
1
1
1
8
8
40
4
16
16
0
0
1
0
0
8
2
2
2
2
12
8
8
8
12
12
8
8
1
8
8
8
8
8
16
8
8
8
8
8
8
8
8
8
8
8
0
4
4
4
4
8
8
1
1
8
8
0
0
0
16
0
0
8
8
32
48
48
1
1
1
1
1
0
0
8
8
8
8
8
1
0
8
20
4
4
4
4
4
4
4
4
4
4
4
4
4
16
16
16
49
0
1
4
4
4
4
8
8
8
16
16
4
4
0
16
16
8
8
16
0
0
0
16
16
16
16
16
8
8
0
4
0
0
0
0
8
16
0
2
2
2
8
8
8
8
0
0
0
40
4
4
4
4
4
4
4
18
8
32
32
32
8
8
8
0
0
8
8
16
16
0
0
8
8
8
32
0
16
0
0
0
0
0
16
20
16
1
1
1
24
16
8
24
24
8
24
4
17
17
16
16
16
16
0
0
4
16
8
28
28
32
32
2
2
16
16
8
8
8
8
8
24
0
2
2
8
2
2
8
8
8
0
8
8
0
0
0
0
0
0
8
8
8
18
16
17
17
1
1
25
16
16
16
40
40
8
8
8
8
8
16
2
2
0
28
8
16
8
16
1
1
1
1
8
14
0
8
1
1
1
1
16
16
16
16
48
48
8
24
8
16
16
16
16
16
16
16
16
16
8
8
32
8
8
8
2
2
2
2
0
8
16
52
52
8
8
0
16
16
16
16
16
1
1
0
0
6
6
6
17
17
17
16
16
16
8
16
16
16
0
0
16
16
24
16
2
2
2
2
2
2
0
8
8
8
16
16
16
16
4
0
1
16
4
20
16
0
16
16
20
20
8
8
17
8
8
8
8
16
16
8
24
8
8
32
0
13
8
1
1
1
8
8
16
16
8
8
8
8
6
6
2
2
8
8
8
20
8
16
16
16
16
16
16
16
2
2
8
8
8
0
0
0
0
16
16
16
8
16
16
16
16
16
8
40
40
40
24
0
0
0
0
0
0
0
0
0
24
16
16
0
8
8
8
0
0
0
0
28
16
28
8
8
8
8
16
16
8
24
8
8
24
8
8
8
1
4
4
24
16
16
16
2
16
16
8
12
4
16
16
8
16
16
2
40
40
40
0
0
1
1
1
16
16
0
0
16
0
1
1
1
1
16
8
8
1
1
1
4
8
8
8
16
16
0
0
0
24
16
8
8
18
18
18
16
0
0
0
8
16
0
2
2
2
1
1
1
1
1
1
1
0
4
4
4
2
2
0
0
16
16
16
16
16
16
32
16
0
0
8
8
16
0
2
2
2
0
0
0
0
4
4
4
4
6
2
2
2
0
0
0
0
8
24
24
24
8
1
0
8
24
8
8
12
8
1
20
20
16
16
16
16
16
48
10
8
8
8
8
8
8
16
16
8
8
8
8
8
16
24
24
8
16
16
16
0
0
8
2
0
8
8
8
24
1
32
16
16
16
16
8
8
16
10
8
8
8
8
10
10
16
8
8
3
3
3
16
24
28
8
4
4
0
8
8
8
8
0
30
30
30
30
30
4
4
8
8
8
25
24
24
16
0
0
0
8
8
8
8
8
16
16
8
8
8
0
0
8
8
8
0
0
0
8
16
0
0
0
0
0
8
8
8
4
8
0
0
0
0
0
0
0
0
4
4
4
0
1
1
1
1
0
16
16
8
8
16
24
4
1
1
8
0
2
16
16
0
6
25
25
16
16
16
16
16
16
16
8
1
32
32
32
8
6
0
4
4
4
4
4
4
4
0
8
40
8
16
24
16
16
0
0
0
0
2
2
2
2
18
2
8
8
8
8
8
8
8
8
2
2
2
2
16
16
16
16
20
8
16
16
16
16
16
16
16
16
16
16
16
49
0
0
16
16
16
16
16
8
8
8
2
2
2
2
8
16
16
16
0
2
16
0
0
4
0
0
2
2
8
8
8
0
0
8
3
8
2
8
8
0
2
2
2
8
24
8
8
4
4
8
8
8
0
0
16
16
16
16
4
4
4
8
8
8
8
0
2
16
16
4
16
4
4
4
2
2
8
22
8
8
1
1
40
40
40
40
16
16
16
0
16
3
16
16
16
4
4
4
1
4
4
4
8
8
8
8
8
8
8
8
8
16
8
0
0
0
4
16
8
8
8
8
0
0
16
16
16
16
8
28
28
1
1
1
1
1
1
1
1
1
1
1
1
1
8
8
40
8
0
16
2
2
4
4
4
16
16
16
16
10
8
8
16
16
24
16
2
2
6
2
0
0
8
8
0
40
8
2
2
2
2
8
8
48
48
48
0
0
0
0
0
8
8
8
8
8
4
4
4
4
2
2
2
2
2
8
4
0
0
8
8
1
1
0
16
16
16
16
1
16
8
1
1
8
24
16
16
32
32
32
41
32
32
16
18
18
18
16
0
8
8
16
16
32
16
1
1
33
32
16
16
8
1
8
8
8
8
8
8
1
1
1
1
8
8
8
24
24
0
0
16
8
8
8
0
0
16
16
4
16
16
20
16
16
8
32
32
32
32
2
1
16
4
20
20
2
2
2
8
2
2
8
8
8
8
16
16
16
16
16
16
1
16
16
16
16
16
16
32
32
0
8
16
16
2
8
24
1
1
1
8
0
8
8
8
8
8
8
8
8
8
0
4
4
4
4
2
2
16
16
16
16
8
8
8
8
8
8
20
22
22
22
22
22
22
16
16
16
16
16
1
57
57
0
0
0
4
4
4
0
41
41
8
16
16
16
4
4
4
4
4
8
8
8
32
32
32
1
1
1
16
16
16
8
16
2
16
16
8
1
1
0
4
8
8
4
8
4
12
4
4
8
8
1
2
2
2
2
2
16
16
1
4
4
8
8
8
8
4
4
4
16
16
16
16
16
16
16
16
16
0
8
16
16
16
16
16
32
8
8
8
8
8
0
0
0
0
1
8
8
8
8
8
32
16
24
8
8
8
8
8
0
16
26
32
32
32
32
32
48
32
24
2
2
2
2
2
2
8
8
8
4
8
8
8
8
8
1
16
16
8
0
16
16
16
16
16
32
32
32
32
8
8
8
8
8
8
8
2
8
8
0
0
0
16
25
25
25
25
0
0
8
8
8
0
0
8
8
8
0
0
0
0
0
16
16
16
16
12
4
4
4
8
16
16
16
16
8
8
0
16
16
24
18
18
4
4
0
16
16
17
16
5
16
16
16
0
0
0
0
8
8
16
8
0
4
4
4
4
4
0
0
6
6
6
16
16
16
16
5
16
16
6
6
8
8
1
1
8
8
8
16
0
16
16
8
8
8
8
24
24
0
0
8
8
8
8
1
1
16
12
28
28
28
28
0
8
8
0
4
16
24
16
16
16
8
0
8
16
28
28
24
24
8
8
8
4
8
8
14
14
0
1
1
1
2
8
2
8
8
8
8
8
8
8
8
8
16
24
24
8
28
28
9
9
9
4
4
4
0
0
0
8
8
8
8
8
8
8
8
8
0
0
0
4
4
4
4
1
1
8
16
16
16
16
32
8
8
0
8
8
8
8
0
0
0
0
4
8
8
8
4
24
16
0
0
0
16
16
1
1
8
8
8
32
8
8
32
32
16
16
16
2
2
2
2
2
2
24
16
8
40
0
16
16
16
16
16
0
0
0
32
0
0
0
24
4
4
8
32
32
8
16
2
16
8
8
16
16
16
16
16
16
0
0
16
8
8
16
8
8
8
8
8
0
8
12
8
24
2
2
2
2
8
16
2
18
4
4
8
8
0
0
0
0
16
16
16
16
16
16
0
18
18
18
18
16
16
16
16
8
16
8
8
8
8
8
0
8
8
8
16
16
16
8
8
8
16
16
16
16
16
16
16
8
8
0
0
0
0
32
0
24
8
8
16
16
1
1
2
14
2
2
0
0
16
24
4
4
8
8
8
32
8
8
8
8
20
16
16
16
16
8
5
31
0
0
0
8
8
8
8
17
16
16
16
8
8
8
32
8
8
8
0
0
8
28
0
32
32
32
56
40
16
56
8
8
8
4
4
4
4
4
4
32
32
32
0
0
0
0
0
16
16
16
16
16
40
40
4
4
0
0
0
22
18
18
16
16
8
0
0
8
8
8
16
8
16
16
16
16
8
8
8
8
8
8
8
6
9
16
16
16
1
1
16
16
8
16
8
16
8
8
0
8
8
8
8
8
8
0
16
24
1
16
8
8
8
8
16
16
16
16
16
16
0
8
4
0
4
4
32
2
16
16
17
16
8
8
8
8
1
2
1
8
8
4
4
2
2
8
8
8
16
4
4
4
4
4
1
1
1
8
2
2
2
2
2
8
8
8
8
25
0
0
8
8
8
8
17
8
8
8
16
0
4
4
16
16
16
16
16
16
16
16
0
2
2
2
20
0
16
16
16
16
16
16
8
24
8
8
8
0
0
8
4
4
8
0
8
16
16
16
2
2
2
16
8
2
3
19
1
16
24
24
0
0
16
8
8
8
8
8
8
0
0
0
0
16
16
0
16
8
8
8
0
0
0
0
17
16
1
17
17
8
8
8
8
16
17
16
16
16
28
1
0
0
8
8
8
8
8
8
8
8
8
8
48
48
48
48
48
48
48
48
48
48
4
0
8
8
8
16
24
16
16
16
24
16
32
32
32
32
8
8
8
8
8
8
16
16
16
16
16
16
16
49
16
32
32
32
2
2
8
0
8
8
8
8
4
4
4
20
4
8
4
4
0
0
16
16
20
16
16
1
1
1
24
24
24
16
0
0
8
12
24
8
8
8
0
0
0
0
0
0
8
8
8
4
8
8
8
8
8
8
1
16
16
16
16
4
4
4
4
4
4
16
16
1
1
16
16
16
16
8
16
16
16
16
16
16
16
16
8
32
40
8
16
16
16
16
16
8
16
24
16
16
8
8
1
16
0
0
0
0
8
0
0
16
16
16
16
8
8
8
8
8
16
16
32
8
15
15
8
1
16
16
40
40
40
32
32
32
32
8
16
16
16
8
0
0
0
0
0
0
1
1
8
8
8
8
1
8
8
1
8
8
16
0
4
4
4
4
4
4
4
16
16
16
3
1
2
8
32
32
32
32
0
24
1
1
0
16
48
16
16
16
16
16
16
16
0
0
32
48
32
32
32
32
8
8
8
8
8
0
0
0
16
16
1
4
5
5
5
5
0
0
0
2
2
2
2
24
24
24
16
16
16
16
0
8
40
40
40
40
9
0
0
32
16
16
16
16
16
16
1
1
0
1
1
0
0
32
32
32
8
8
0
0
0
0
0
0
0
8
16
0
0
0
8
4
4
8
8
8
16
16
8
8
8
0
0
16
16
16
16
16
16
0
8
8
8
16
8
8
8
16
16
16
16
16
8
8
8
0
24
24
32
32
33
33
1
1
1
1
0
0
0
0
0
22
22
0
0
0
1
4
16
16
16
18
8
8
4
8
2
2
2
8
8
8
8
8
8
0
0
0
0
0
0
8
8
1
16
0
8
8
8
0
0
0
0
0
16
16
16
0
0
0
0
0
0
0
16
16
12
4
8
4
16
4
4
4
16
1
8
8
8
16
16
8
8
0
32
1
1
8
8
8
8
8
16
8
8
8
16
8
20
20
20
20
2
8
8
8
16
1
1
1
8
8
8
32
4
8
8
8
8
8
8
8
0
0
0
0
16
8
16
16
16
16
16
16
2
19
19
19
19
18
16
16
2
16
16
16
16
2
2
4
4
4
4
4
4
0
0
0
0
0
4
4
1
8
8
8
8
0
16
16
18
8
8
8
8
8
1
1
1
16
16
16
16
16
0
0
8
8
16
16
8
4
12
4
1
32
1
1
16
16
16
16
16
16
16
16
4
4
16
16
16
8
0
0
4
4
4
8
8
16
16
16
16
16
16
16
16
16
16
16
0
0
0
0
0
8
4
16
4
4
0
8
8
8
32
9
1
8
8
24
16
16
8
8
16
16
16
16
0
0
8
8
8
8
8
8
2
2
16
7
1
16
2
2
2
0
8
9
8
8
8
0
8
4
4
4
4
4
4
4
4
4
4
0
0
16
8
40
8
8
8
4
12
12
12
16
0
8
16
32
32
32
32
32
8
8
0
16
0
0
8
8
8
8
8
4
8
16
16
4
4
4
4
4
1
1
1
1
1
1
1
8
8
8
8
4
4
4
0
0
0
0
0
2
0
16
16
16
16
16
0
1
16
16
16
8
8
32
32
2
22
2
2
2
8
1
1
1
44
16
16
0
2
2
2
8
8
8
8
8
16
16
16
8
8
8
8
8
8
8
8
8
0
16
16
16
16
8
8
8
8
8
8
8
8
8
4
0
0
0
8
8
8
0
0
4
0
0
0
4
8
8
8
8
8
0
0
0
0
0
8
24
24
24
24
20
16
16
0
0
2
2
8
4
4
4
13
16
16
16
16
16
9
8
8
8
8
8
8
4
4
4
4
8
8
8
8
8
8
8
8
8
8
16
0
16
8
24
8
8
8
8
8
8
16
16
1
32
8
8
0
0
1
8
8
9
16
16
16
16
4
2
16
8
8
8
16
16
16
0
0
4
4
40
8
8
16
16
0
0
0
0
4
4
1
1
1
1
1
1
1
1
1
0
16
16
16
16
16
16
16
16
16
16
12
12
12
12
1
1
1
1
8
24
8
4
4
0
8
8
16
0
0
8
8
2
8
32
32
32
32
16
16
1
1
1
1
16
16
16
16
0
9
8
1
8
8
0
1
1
1
0
0
2
2
0
0
1
3
1
1
17
1
16
8
8
8
32
52
32
16
8
16
16
16
8
8
8
8
8
8
8
0
0
16
16
0
16
16
16
16
8
8
8
8
8
2
8
16
16
16
16
16
0
0
0
36
4
2
2
4
2
32
32
32
0
8
8
8
8
6
8
8
8
4
4
4
1
1
1
1
16
16
16
16
16
0
8
24
6
6
0
0
0
1
1
4
0
0
0
8
12
8
4
4
24
24
24
24
12
12
12
12
16
16
16
16
16
20
16
16
8
8
8
8
8
8
16
16
16
2
1
2
1
0
24
24
16
16
0
0
4
6
0
8
0
16
16
16
16
16
32
32
0
8
2
8
2
2
2
2
2
2
2
8
8
8
8
8
8
12
16
16
24
24
24
24
24
24
0
8
16
24
4
4
1
8
24
8
8
1
33
1
1
33
33
33
0
0
44
44
44
44
8
16
16
0
2
2
2
8
0
0
0
8
0
16
16
16
16
16
16
1
1
1
1
8
8
8
8
8
8
8
8
24
16
8
8
8
8
0
16
16
16
16
8
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
0
0
0
0
0
16
8
8
8
8
8
8
8
1
1
1
1
1
8
2
2
8
16
8
8
8
8
0
0
0
0
27
1
8
8
8
42
46
42
42
42
42
16
8
1
39
8
8
16
24
16
1
1
16
16
1
1
1
1
1
1
8
8
8
8
0
0
0
8
8
16
16
8
16
16
16
16
16
16
16
8
16
1
1
1
1
9
9
9
9
16
16
16
4
4
8
8
8
8
16
16
1
0
0
32
8
32
13
8
8
8
8
8
32
32
32
32
33
33
32
33
8
8
8
8
1
4
4
4
4
4
8
8
40
40
40
40
40
1
1
0
0
16
16
16
16
16
16
8
8
1
0
0
1
16
32
32
32
32
8
8
8
0
0
8
0
0
0
0
16
16
0
0
8
0
4
4
4
4
0
1
1
0
2
2
2
4
4
4
8
8
8
8
8
8
4
4
4
24
20
16
16
16
16
16
16
16
16
16
16
16
8
8
0
0
0
0
0
20
8
16
16
16
57
57
57
0
33
33
33
2
2
8
8
42
2
2
2
2
24
8
8
8
8
2
8
0
0
0
5
13
5
5
20
4
8
8
0
8
16
16
16
24
16
16
16
0
0
0
16
16
16
16
16
16
16
16
8
8
2
2
10
8
8
16
2
2
2
8
8
4
0
0
0
0
12
12
0
0
8
8
8
8
8
16
8
16
16
16
16
16
13
13
13
16
16
16
16
16
8
8
16
16
16
16
16
16
16
8
8
8
8
8
8
12
12
0
8
16
16
16
16
0
0
2
16
16
16
8
5
8
8
8
8
16
16
16
16
16
16
16
16
16
16
0
0
0
0
0
8
8
8
8
8
8
8
8
4
0
8
8
8
0
0
0
0
32
52
44
8
8
9
8
8
4
4
4
4
4
4
0
20
8
0
8
8
8
16
16
2
1
2
2
8
8
16
16
1
1
1
1
1
1
0
0
0
16
16
17
8
8
8
8
8
8
8
8
0
16
16
16
4
60
8
8
0
8
8
0
0
16
16
8
8
8
0
0
0
0
0
0
24
16
16
16
16
16
16
32
32
0
16
16
1
8
8
8
8
0
0
0
0
16
16
16
4
8
8
8
8
8
0
16
8
8
16
16
24
24
24
24
16
16
16
0
0
0
32
32
32
32
32
0
16
16
16
1
0
16
8
8
16
16
4
0
6
8
8
8
8
0
8
17
2
0
0
32
32
32
40
8
0
0
8
8
8
8
16
16
16
16
16
16
0
2
2
1
2
2
8
8
1
1
1
1
16
16
16
0
26
26
8
24
24
24
8
16
8
8
0
12
8
8
8
0
0
0
0
16
16
0
1
1
32
32
32
32
32
8
12
4
16
4
4
8
8
8
16
16
16
16
8
8
8
8
0
1
1
4
4
8
8
0
0
0
0
0
0
2
2
2
16
8
0
1
16
1
1
18
18
24
24
0
18
18
20
20
0
0
0
0
8
16
16
16
0
0
0
0
0
0
0
16
16
16
16
8
8
8
8
8
16
16
16
16
16
16
16
16
24
16
4
8
4
8
8
8
8
8
8
8
8
8
8
0
10
42
32
32
1
1
1
1
1
1
1
1
16
8
8
0
8
8
20
0
0
8
8
0
0
0
0
0
16
14
0
8
0
8
8
8
8
0
0
8
8
8
0
0
0
0
16
8
8
0
0
1
17
1
9
16
16
16
16
16
16
16
16
16
8
8
8
32
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
1
1
1
1
1
0
0
32
8
8
8
8
0
0
16
20
20
20
20
20
20
20
20
20
20
0
4
4
4
4
4
4
4
4
4
24
8
0
0
0
4
4
4
4
4
4
4
4
4
8
8
8
8
8
8
8
4
8
8
8
8
8
8
8
8
0
0
8
8
0
0
32
8
4
8
4
4
8
0
0
8
8
8
8
16
8
8
8
32
16
16
16
16
4
4
24
16
16
17
8
16
6
6
6
6
2
24
0
16
16
16
0
0
8
8
0
0
4
1
1
1
0
2
2
2
2
2
0
0
0
0
32
32
32
16
16
1
1
1
16
16
16
2
16
16
0
1
1
1
32
8
8
16
32
8
8
8
8
8
8
8
16
2
2
2
2
8
8
24
0
4
5
5
16
24
8
16
24
0
1
2
8
2
16
16
16
16
16
0
0
0
16
16
16
0
16
16
16
16
16
4
4
4
24
24
2
2
2
2
2
20
20
20
8
8
0
8
8
8
4
4
4
16
16
16
0
16
0
20
20
16
16
8
16
16
8
8
12
16
8
8
12
16
8
8
0
0
0
4
4
4
8
8
16
8
16
8
8
16
0
0
16
2
18
2
2
8
0
0
16
8
1
16
8
8
8
16
8
8
8
8
8
16
16
8
8
0
16
1
1
1
1
1
1
24
24
28
24
8
8
8
8
8
4
28
8
0
1
1
24
8
8
16
16
16
16
8
4
0
0
8
8
0
4
4
16
16
0
8
4
16
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
32
0
16
1
1
17
1
2
18
0
0
0
0
0
0
25
25
25
8
8
16
16
16
0
0
8
8
8
8
0
0
0
32
32
32
32
16
16
16
16
8
8
8
8
1
5
4
4
4
8
0
6
6
6
8
8
8
8
0
0
8
8
8
8
8
8
1
1
1
8
8
24
0
0
0
0
0
8
8
8
0
18
4
0
0
0
0
8
4
16
20
4
4
4
2
2
2
2
1
1
1
0
16
1
32
32
32
32
32
2
16
2
4
4
4
0
0
0
0
0
0
32
32
4
8
0
24
24
1
8
9
8
2
2
24
24
24
16
4
20
16
16
16
16
28
24
8
8
16
8
24
8
8
32
32
32
32
32
8
8
8
8
8
16
16
16
16
16
16
16
16
0
32
4
4
4
0
0
0
16
16
16
16
16
0
0
0
0
0
0
24
24
8
16
24
0
16
16
16
0
0
0
16
24
8
8
8
8
8
8
16
16
8
8
8
8
0
0
0
0
16
16
16
16
16
16
16
24
4
4
17
17
17
17
0
4
12
4
4
4
4
4
0
1
8
8
8
8
8
8
8
8
24
24
4
32
32
32
32
32
32
32
32
4
4
4
4
4
4
0
0
0
24
24
4
4
4
2
2
2
2
16
16
12
8
0
8
8
8
8
0
8
8
8
8
8
8
4
1
2
7
16
16
16
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
8
8
8
0
0
0
32
8
8
8
8
0
8
8
8
8
2
2
8
8
0
24
24
24
24
24
24
24
16
16
16
16
16
32
32
16
16
8
8
24
24
24
24
24
24
0
8
8
8
32
32
32
32
8
8
8
8
0
0
16
16
4
4
4
0
8
0
8
8
8
8
8
8
40
40
0
32
32
32
0
0
8
4
4
16
16
16
8
8
8
8
8
11
8
8
8
16
16
40
17
8
0
0
0
16
16
16
0
0
4
4
4
4
4
4
16
16
16
16
16
16
16
16
16
16
16
16
16
0
0
0
0
0
32
16
16
8
16
1
8
8
8
0
8
8
8
8
0
0
48
48
48
6
6
6
6
0
0
16
16
16
16
16
16
16
16
16
16
32
32
16
8
4
8
8
8
8
8
8
4
4
4
4
8
8
8
8
8
2
2
2
2
2
2
2
2
8
8
8
8
8
8
8
2
16
32
34
4
38
38
32
32
32
8
8
8
8
8
24
16
16
32
32
32
32
32
32
32
4
4
4
4
16
16
18
18
16
8
8
16
8
9
1
8
8
8
8
0
8
8
8
8
8
0
0
16
16
16
0
0
16
16
16
16
16
16
0
16
16
16
16
16
16
20
2
16
24
0
0
16
16
16
16
16
16
16
16
3
8
8
8
8
8
8
4
0
31
8
8
4
4
40
32
32
32
8
8
0
4
4
4
16
4
0
0
0
8
8
16
16
8
0
16
16
16
16
16
4
5
16
16
16
17
16
26
16
8
4
1
1
1
4
4
5
5
5
5
5
5
8
8
8
16
16
16
16
48
16
16
16
16
16
0
8
8
8
8
8
8
0
0
0
36
36
18
16
48
16
16
0
0
0
18
16
2
18
18
18
0
0
0
4
4
4
4
8
1
8
8
8
8
8
8
8
1
8
0
8
8
16
16
16
16
16
0
0
0
8
8
8
8
2
2
2
16
16
16
16
16
16
16
16
16
16
18
18
18
18
18
18
2
2
0
0
0
0
0
16
16
16
16
16
16
0
32
32
32
8
16
2
8
8
8
8
8
8
16
16
8
8
8
4
4
4
4
8
8
8
2
22
22
22
2
20
8
8
8
16
16
32
16
4
8
8
16
0
16
16
16
24
24
8
8
4
4
16
16
0
0
0
20
20
0
16
16
8
8
32
16
16
16
16
2
2
32
48
1
1
1
1
1
8
8
0
0
16
16
16
16
0
2
4
6
6
4
8
0
0
0
0
0
4
4
4
16
18
16
0
21
17
17
17
17
0
8
8
8
8
32
8
4
0
0
8
8
8
8
8
8
0
0
16
8
8
8
0
0
8
8
8
8
2
2
16
16
16
8
8
8
8
0
0
0
0
0
0
1
0
0
0
0
0
0
0
2
32
16
16
16
18
16
16
16
16
16
5
16
2
2
2
4
4
16
16
0
2
4
8
8
8
8
8
8
8
8
2
16
0
0
0
44
44
8
8
8
8
8
8
32
1
32
32
32
32
8
8
8
8
0
0
8
8
16
4
8
4
1
8
8
8
8
16
16
16
0
8
8
8
0
0
0
0
0
4
16
0
0
0
8
0
0
8
8
0
0
0
0
4
4
4
2
2
2
2
2
4
8
8
8
8
30
16
16
0
0
16
16
8
8
16
16
16
16
16
24
16
16
16
16
0
4
44
8
8
2
4
2
2
2
2
2
2
0
0
0
4
4
16
16
16
16
16
16
16
16
16
16
16
0
0
0
0
0
24
4
0
0
0
0
28
8
8
8
0
16
16
16
16
8
8
8
32
8
32
8
8
0
0
16
16
16
16
16
0
2
2
2
2
16
16
16
16
16
28
28
32
16
16
16
0
1
1
24
1
16
4
4
4
4
6
36
16
0
32
32
8
8
8
8
8
0
0
8
8
8
8
8
0
16
16
8
8
1
1
8
8
8
8
0
0
0
0
16
4
8
8
8
32
32
8
8
8
18
18
8
1
1
1
0
8
8
2
2
40
8
8
16
0
16
16
16
4
4
4
4
8
8
40
8
8
40
16
16
1
1
1
8
8
8
0
0
0
0
0
8
8
8
8
23
24
16
16
8
8
8
8
8
8
8
8
1
1
1
1
32
32
32
0
0
8
4
4
4
4
0
0
0
8
8
16
16
16
16
16
0
16
16
16
16
8
4
4
4
4
4
8
16
16
8
8
16
8
0
2
2
1
8
0
0
24
24
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
2
2
2
16
0
0
20
20
20
2
2
2
2
2
2
2
16
0
1
1
1
0
0
2
2
0
8
8
8
16
16
16
8
8
0
8
33
33
33
5
4
17
17
17
8
8
8
8
0
8
8
8
8
8
8
8
8
8
40
16
57
32
32
0
0
8
8
8
8
8
8
8
8
8
8
1
16
1
8
8
4
22
22
22
22
16
16
16
16
16
16
16
0
0
0
0
0
0
32
32
4
4
8
8
8
8
8
8
8
16
16
1
24
8
8
8
8
8
8
8
8
8
8
16
16
16
16
16
16
16
16
4
16
8
8
8
0
8
18
8
8
8
8
1
8
4
4
24
24
8
8
8
0
2
2
2
2
0
16
17
17
16
32
8
16
16
16
0
0
12
8
0
8
8
8
8
8
8
0
0
0
8
8
8
8
8
24
8
8
8
8
0
0
0
8
8
16
16
8
8
0
33
33
8
8
0
2
2
16
16
16
8
2
2
16
17
16
26
10
16
26
8
1
2
2
16
16
16
16
16
16
16
16
16
24
24
4
4
4
16
16
16
0
4
12
8
3
1
1
8
8
8
8
8
8
8
8
16
16
8
24
24
24
32
0
0
0
0
0
0
0
16
16
16
16
0
0
28
1
1
1
5
8
8
24
24
24
24
8
8
1
1
1
1
32
0
0
0
0
1
1
24
0
0
8
8
8
24
8
8
8
8
0
0
0
8
8
8
8
33
32
32
32
16
8
24
16
16
24
0
4
4
4
2
2
2
2
2
2
2
2
0
0
0
0
0
32
32
16
16
8
0
2
16
16
16
16
16
16
16
16
8
8
8
8
8
8
8
8
8
8
0
1
17
16
16
16
16
4
4
8
8
8
8
8
8
8
24
8
8
8
16
16
16
16
1
9
4
4
0
16
16
8
1
1
0
8
4
8
8
8
8
8
16
16
0
0
0
16
16
56
8
8
8
8
8
8
4
1
16
16
16
16
16
16
8
16
16
16
0
16
16
2
10
8
8
28
16
0
0
16
16
8
8
16
16
0
16
16
0
16
16
16
16
8
8
8
8
16
8
8
16
16
16
16
1
0
0
0
0
0
22
16
16
16
16
16
16
16
16
16
16
16
16
16
8
8
8
8
8
8
28
28
16
16
0
0
2
2
2
1
8
8
8
16
16
16
16
8
8
4
4
4
16
16
16
8
8
0
0
0
16
1
16
16
0
0
0
1
9
1
1
1
0
0
0
0
16
16
16
12
12
12
8
16
8
16
16
16
32
32
32
0
0
4
4
16
16
16
16
8
16
16
4
4
16
16
4
0
0
16
16
16
16
16
1
0
16
16
16
16
16
16
16
16
32
3
1
8
32
32
16
16
16
0
16
16
4
2
32
2
8
10
4
8
8
8
12
4
4
4
0
0
1
1
1
0
24
8
8
8
26
26
26
4
0
0
0
0
32
32
32
32
32
32
32
32
16
1
41
1
24
8
16
24
8
8
8
8
8
8
8
8
8
8
8
8
8
2
2
2
8
4
4
20
4
4
13
13
13
8
8
8
0
16
16
16
16
0
0
16
16
16
3
3
3
3
16
0
8
4
8
8
8
8
8
8
8
8
8
8
8
8
8
8
26
26
1
3
8
8
8
4
0
0
16
16
16
1
1
1
8
8
4
4
8
8
8
8
8
8
8
16
16
18
18
24
8
8
8
13
0
16
16
8
8
0
0
16
8
16
16
4
4
25
2
24
32
16
16
16
16
16
32
32
32
32
16
16
16
16
8
16
16
16
10
10
16
16
16
32
32
32
8
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
8
0
16
16
16
2
18
8
16
16
16
0
8
16
16
16
8
2
8
1
16
8
2
10
4
4
4
16
16
16
16
16
16
16
16
16
16
16
16
0
8
8
8
0
0
0
8
16
0
0
16
20
20
20
18
16
16
8
0
0
0
0
4
20
8
4
0
16
16
16
24
24
0
16
1
23
17
4
4
1
8
8
8
8
8
8
8
8
8
8
1
4
16
16
16
16
16
8
0
2
2
0
0
0
16
24
16
8
4
0
0
0
6
6
6
6
8
8
8
16
16
16
16
16
8
8
8
4
4
4
12
0
0
16
16
16
16
16
16
16
16
24
0
0
0
0
12
0
8
8
8
8
17
1
0
0
16
16
0
8
16
16
16
16
1
1
16
16
16
32
8
8
8
8
8
8
0
8
8
16
8
8
0
0
8
8
8
8
24
8
16
16
4
4
2
8
8
16
16
16
16
0
1
1
16
16
4
4
4
4
8
8
8
8
8
40
40
40
40
8
8
8
0
1
24
24
16
8
16
16
0
0
8
8
8
8
8
4
10
10
8
8
8
8
32
8
8
8
0
0
4
4
4
4
4
4
32
32
32
32
24
24
16
16
57
8
8
8
8
8
0
8
8
28
28
28
32
32
32
32
32
32
32
32
16
16
16
16
16
16
16
16
48
0
16
16
16
16
16
16
16
16
4
20
20
16
16
18
18
16
16
0
0
0
0
0
0
0
4
36
36
12
36
8
8
8
8
8
1
0
0
0
32
16
16
16
16
16
2
8
8
16
16
0
0
0
16
16
8
0
32
32
1
1
1
1
1
1
1
1
1
1
4
32
32
32
32
32
32
32
32
0
0
0
0
0
0
0
0
0
1
1
16
16
2
8
8
8
16
16
16
8
0
0
2
2
0
0
32
32
32
8
24
24
24
24
24
40
16
1
1
1
16
8
8
2
2
2
16
16
18
16
16
0
8
0
0
0
1
1
1
1
1
1
16
16
32
32
32
1
1
16
8
8
8
4
4
32
32
32
32
32
32
0
16
16
9
8
8
4
8
8
8
16
18
16
16
1
1
1
0
0
0
20
0
16
16
16
16
16
16
16
1
1
1
1
1
1
1
1
1
1
1
8
8
8
16
16
2
2
2
2
10
32
32
32
32
32
8
8
8
16
0
0
8
8
1
1
1
16
16
16
16
16
12
0
0
0
8
8
0
8
8
8
8
8
8
8
0
8
0
0
0
16
12
8
8
0
0
8
8
20
0
16
16
1
8
16
25
25
25
25
8
8
8
40
40
8
9
9
16
16
1
16
16
16
16
8
8
16
0
8
4
4
8
8
8
8
0
8
8
2
8
16
16
16
16
16
2
2
32
32
8
16
16
2
16
2
2
14
14
4
16
16
8
16
16
0
0
8
16
16
1
1
0
0
0
0
16
8
16
8
16
16
16
16
16
16
8
0
0
0
6
6
6
6
0
16
16
16
4
0
4
4
4
0
0
0
0
0
0
2
2
0
8
8
8
8
1
1
1
1
48
1
8
8
8
8
8
8
8
8
24
8
4
4
4
8
8
8
8
16
8
8
8
0
0
0
0
8
8
8
8
12
16
16
16
16
16
16
16
16
0
0
8
1
1
1
1
8
12
8
8
8
8
16
16
8
8
16
16
16
16
16
2
16
0
16
0
8
8
8
8
24
16
16
16
0
8
8
8
0
0
0
0
0
0
8
0
0
0
8
8
8
8
28
8
0
16
16
16
16
16
16
0
8
8
8
16
16
0
8
0
0
8
8
8
8
8
20
1
1
8
8
8
8
8
8
13
16
16
8
8
8
32
32
32
32
8
16
8
8
8
8
8
8
16
16
16
16
12
1
12
1
1
1
8
8
8
8
8
8
8
8
1
32
32
32
16
16
16
16
8
8
0
0
0
4
4
8
8
0
0
0
0
2
16
8
8
8
8
8
16
16
16
16
0
32
32
32
32
32
32
32
0
0
25
25
25
8
8
8
4
4
4
4
8
8
8
16
0
8
8
8
16
16
16
16
1
1
1
1
1
1
1
1
1
1
1
16
16
16
0
8
12
16
16
16
16
0
0
1
1
1
40
32
32
21
21
8
10
10
8
0
0
4
1
0
16
8
8
8
8
8
8
8
8
8
8
8
8
8
16
16
16
16
16
16
8
8
1
32
10
10
0
0
16
16
16
0
8
8
8
16
16
16
16
16
16
16
16
16
16
16
16
0
8
0
0
0
16
16
16
16
0
8
8
24
24
12
12
12
12
12
12
8
8
24
8
0
4
4
4
4
16
16
16
8
8
8
8
0
16
16
0
8
8
8
16
16
16
16
16
2
16
8
8
8
8
16
0
4
20
4
16
8
4
16
5
2
0
8
8
8
8
8
8
16
8
8
8
16
16
16
16
16
16
8
8
8
8
8
8
0
0
0
20
20
20
16
16
16
4
8
8
16
8
8
4
2
6
33
4
1
1
1
32
32
32
0
4
1
1
1
1
8
8
8
32
32
8
8
8
8
8
8
8
8
8
8
8
12
8
0
0
8
16
16
16
0
8
8
8
8
8
4
4
4
8
8
8
8
0
24
8
16
1
17
8
8
16
16
1
1
8
16
8
4
4
0
16
16
16
24
24
24
8
8
8
8
8
8
0
0
0
0
0
8
16
16
8
8
8
8
0
8
8
16
16
16
16
16
16
16
8
4
2
6
0
2
0
0
0
0
0
8
8
8
6
4
12
4
4
4
4
16
16
16
16
16
16
4
4
16
4
0
4
4
4
8
8
8
8
8
4
4
4
4
4
16
16
16
16
1
0
8
8
8
10
8
8
8
8
1
8
8
16
16
0
0
0
0
24
0
0
16
16
1
0
0
2
0
8
8
8
8
0
0
0
8
8
16
16
16
0
8
8
8
16
16
16
16
16
16
16
16
8
8
8
0
16
16
8
8
8
8
8
8
8
8
8
8
8
4
4
16
12
4
4
4
4
8
8
8
8
0
0
0
16
16
16
16
16
16
16
16
16
0
16
16
16
16
16
6
0
0
0
8
16
4
4
4
4
4
4
4
4
4
4
4
4
16
16
16
16
16
8
8
8
0
8
8
8
4
8
0
0
8
8
8
8
4
4
4
4
4
4
8
16
16
16
16
16
16
16
8
8
4
0
44
17
17
8
8
2
2
16
16
16
24
8
8
2
2
2
38
38
38
38
38
0
32
32
0
4
16
1
1
1
0
20
8
0
0
0
8
8
8
8
8
16
16
16
0
8
0
16
16
16
16
8
8
8
8
24
8
8
8
2
2
2
2
2
37
8
8
8
32
24
16
8
4
4
0
28
28
1
1
1
16
0
0
0
16
16
16
58
16
16
17
24
8
16
4
4
8
22
22
0
0
8
8
0
8
8
8
8
8
8
8
8
24
16
16
24
0
0
1
1
1
1
40
16
16
16
16
16
0
0
0
1
1
1
0
16
16
16
16
0
8
8
8
8
8
12
8
16
10
10
8
8
8
1
0
0
0
0
0
16
16
16
16
16
16
32
32
16
16
16
16
16
16
16
16
16
16
16
4
1
1
1
1
1
8
8
8
8
4
0
40
40
40
31
4
4
32
32
32
32
16
2
18
18
16
16
16
16
12
0
0
16
2
34
2
0
12
12
12
12
12
0
0
0
0
0
1
16
17
1
24
24
8
28
0
0
8
8
8
4
0
0
0
16
8
16
16
1
4
12
12
4
4
8
8
2
4
6
0
5
0
0
8
14
8
1
8
8
8
0
16
16
16
32
32
32
32
16
16
8
8
8
8
8
8
8
2
2
2
2
2
2
2
2
2
2
2
0
1
1
1
1
48
16
16
4
8
8
8
8
8
8
0
8
8
32
32
32
62
24
8
8
8
8
8
8
8
8
0
8
8
8
8
8
8
16
8
8
8
8
8
8
8
4
1
8
8
8
8
16
36
0
4
4
4
0
8
8
8
8
8
8
8
8
8
8
8
16
16
16
16
8
8
8
8
0
0
8
8
8
8
8
28
12
8
8
0
0
0
20
20
20
20
20
0
0
4
4
4
4
0
0
32
8
33
8
0
0
0
0
8
1
1
0
0
0
16
0
12
8
33
33
33
33
8
16
8
8
8
24
0
0
0
16
0
0
0
16
16
16
1
1
1
2
4
4
4
4
4
7
7
2
3
3
2
1
4
0
8
1
1
1
1
16
1
0
8
4
8
28
28
28
28
28
16
16
16
16
16
8
8
8
8
24
24
24
24
1
1
1
1
8
8
8
8
8
24
1
1
1
8
8
8
8
41
20
4
4
4
4
16
0
0
1
1
1
0
8
8
16
16
0
0
0
1
0
0
0
0
0
4
4
4
4
16
16
16
16
16
8
8
32
16
16
16
16
48
16
16
0
0
0
16
0
0
0
8
8
8
8
8
8
0
8
8
8
2
0
1
2
1
1
16
16
16
16
16
16
16
16
16
49
16
49
49
49
0
0
8
0
8
9
8
8
0
0
0
16
17
0
0
0
0
8
8
8
8
0
8
33
1
1
8
8
8
4
8
4
4
8
4
32
8
16
16
3
3
2
2
16
8
8
8
32
32
36
32
32
32
32
0
0
4
4
4
4
16
32
0
0
0
4
16
16
8
16
16
16
16
4
1
4
4
4
4
4
4
4
4
4
4
4
4
4
8
8
8
4
20
20
20
0
20
20
24
16
0
0
0
4
4
4
4
4
4
24
24
24
0
1
17
9
8
16
16
16
16
16
16
16
16
16
16
16
16
8
8
1
1
0
0
0
24
8
8
0
1
4
4
4
4
4
4
4
32
0
0
1
1
1
16
16
1
16
16
16
16
16
40
40
40
40
40
40
40
16
16
0
1
1
0
24
25
24
4
4
16
16
16
32
1
1
32
8
8
8
16
16
16
16
8
8
8
8
16
16
16
16
16
0
0
0
0
8
10
10
32
8
8
8
8
8
8
22
1
2
8
8
16
24
16
8
8
8
24
8
0
0
0
0
0
32
32
32
16
8
8
8
8
8
8
16
32
8
8
8
8
0
4
8
8
8
8
8
8
0
1
1
1
4
4
4
4
4
0
0
1
1
1
0
0
12
2
2
2
2
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
2
3
0
0
0
0
0
0
0
0
0
2
2
0
16
0
0
0
39
39
39
39
32
8
1
16
16
16
16
4
0
0
0
0
24
24
24
24
16
16
16
16
16
32
32
32
57
57
57
4
4
8
8
8
16
16
16
16
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
16
24
16
8
24
24
24
8
32
32
32
16
5
4
4
8
8
8
8
8
8
8
24
24
2
2
8
16
24
57
57
8
24
24
24
8
24
24
2
48
8
58
58
0
8
4
4
4
4
4
10
16
0
8
8
16
16
16
1
1
20
20
20
20
20
8
8
16
0
8
8
0
0
16
16
16
16
16
8
8
8
16
17
0
16
16
16
16
16
0
16
8
8
8
8
8
8
0
16
8
0
8
8
1
1
1
20
20
20
4
4
0
36
36
32
4
36
8
8
8
1
8
8
8
8
8
8
24
8
8
1
8
8
8
8
8
8
8
16
18
16
16
16
4
4
4
4
16
16
16
16
16
8
8
8
8
8
8
16
1
1
0
0
8
16
16
24
24
16
16
1
4
4
16
16
32
48
1
1
1
1
1
1
1
1
1
1
16
20
20
20
20
1
1
1
1
1
1
1
0
8
8
4
12
4
4
16
16
16
16
8
16
16
1
3
1
8
1
3
26
26
26
9
9
9
1
1
1
1
1
1
1
0
0
0
32
32
32
32
32
32
24
16
0
0
0
0
0
0
24
24
24
0
32
16
48
32
4
0
0
0
0
24
8
4
8
24
24
4
4
4
16
20
20
0
0
0
0
0
0
0
8
8
8
0
0
16
4
8
4
16
16
8
8
8
8
8
24
24
8
16
8
8
8
8
1
1
1
16
0
16
16
16
16
1
1
1
16
16
16
16
0
0
24
8
8
8
8
8
8
8
8
8
8
16
24
16
16
1
1
1
1
1
1
1
1
0
0
0
26
16
16
1
1
1
28
8
28
4
4
4
4
0
0
25
33
33
33
33
16
16
2
16
18
16
16
8
8
1
1
1
1
1
1
2
2
2
2
4
4
4
4
8
8
8
28
16
24
8
8
8
8
8
8
8
8
8
8
16
8
8
8
8
4
4
8
4
20
8
16
16
16
16
16
16
0
0
0
0
8
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
8
8
24
8
8
8
16
8
8
8
8
8
16
0
1
1
16
1
0
24
16
8
8
8
16
1
1
1
1
16
16
16
0
0
16
24
16
1
0
24
16
4
4
0
0
0
16
16
16
8
0
8
24
8
8
8
8
8
8
0
56
56
8
8
8
0
16
24
8
0
0
8
8
8
2
2
42
2
2
2
2
2
2
2
2
4
16
20
16
4
20
0
36
36
36
36
8
8
8
8
4
4
8
8
8
8
8
16
4
4
0
0
1
24
16
4
4
4
8
8
8
4
8
8
8
8
8
8
8
8
8
24
24
24
32
16
0
1
1
1
1
1
1
8
8
0
16
0
0
0
8
0
2
2
2
0
0
0
0
0
31
1
1
1
1
1
1
16
16
16
16
0
1
1
8
8
4
4
8
8
8
8
16
0
0
8
8
24
24
24
16
16
20
20
20
16
16
8
16
16
16
12
1
16
8
16
1
0
16
28
28
28
16
8
6
2
8
8
8
8
8
16
16
16
16
16
8
8
16
16
16
16
0
8
16
16
16
16
48
0
0
4
4
4
4
8
16
4
12
12
33
12
12
12
8
2
2
16
16
16
25
25
16
0
0
0
8
41
8
8
16
16
16
16
16
16
12
12
0
0
8
8
8
22
16
16
16
16
8
8
20
2
22
18
18
18
2
2
2
2
2
8
8
8
8
0
0
2
10
2
10
2
2
0
8
8
1
19
17
1
1
1
1
8
8
8
8
1
22
4
16
24
16
16
16
16
8
0
0
4
4
16
8
16
16
16
16
8
8
0
8
24
8
8
8
8
8
0
0
2
32
32
0
8
4
4
4
4
8
16
16
16
2
2
2
2
2
8
8
8
8
8
8
0
16
24
24
24
0
0
0
0
16
16
16
16
16
4
8
8
12
16
16
18
18
8
8
8
3
2
4
4
4
4
0
0
0
0
0
16
16
0
25
25
16
16
0
0
0
0
9
1
1
1
8
8
8
8
0
0
8
8
9
0
0
0
0
0
0
0
0
8
8
8
8
8
8
8
0
0
4
4
8
0
0
0
12
12
16
16
17
8
8
8
8
8
16
20
16
16
32
32
16
16
16
32
32
32
32
32
32
8
8
8
8
0
0
8
8
24
24
16
0
0
0
20
16
16
16
16
16
16
0
8
16
16
0
16
16
16
16
16
16
0
8
8
32
8
8
8
8
8
8
8
8
0
0
0
1
1
1
1
1
1
1
1
0
0
2
18
8
8
8
0
0
0
0
0
0
0
16
16
16
12
8
8
8
8
8
8
16
16
1
1
1
8
8
8
16
16
16
8
32
40
32
32
32
32
32
16
16
16
16
16
16
16
8
1
5
1
1
8
8
16
16
16
16
16
18
0
0
0
0
8
8
8
8
8
8
1
1
1
12
1
4
8
24
8
9
9
4
4
16
16
8
24
8
8
8
0
8
16
8
16
24
16
32
32
16
16
16
16
16
2
2
2
2
2
2
0
4
9
9
8
8
8
8
8
1
1
1
20
0
0
8
28
8
2
2
2
25
8
16
16
16
4
4
4
8
1
1
1
1
16
8
8
8
8
32
8
1
16
16
16
16
16
8
8
8
32
32
32
32
0
32
32
32
0
16
8
8
8
8
4
9
8
16
16
16
16
16
2
2
8
8
8
16
0
16
16
8
8
2
2
16
16
16
16
16
16
16
16
0
0
0
8
8
0
0
16
16
16
16
16
16
16
0
16
32
8
8
8
8
8
8
8
8
8
8
8
8
8
1
8
9
1
4
4
4
4
4
4
4
16
4
16
16
16
16
16
8
8
8
8
8
4
6
4
2
8
16
16
16
16
16
16
8
8
8
1
8
8
8
8
8
4
16
16
0
16
16
16
16
16
16
16
16
16
16
1
1
1
16
0
16
16
16
11
3
3
3
3
3
8
1
0
16
16
16
1
1
2
2
2
0
0
4
4
4
4
4
4
8
8
0
0
0
2
16
16
16
16
16
16
8
8
8
17
17
17
17
17
17
8
16
17
8
8
8
8
1
17
8
8
8
8
8
8
16
16
16
16
16
0
0
1
16
16
0
0
0
0
0
9
0
16
20
20
1
1
0
0
8
8
2
17
17
16
16
16
16
16
16
16
16
16
8
8
8
8
8
16
0
16
16
16
16
0
0
32
8
8
8
8
8
16
16
16
8
32
1
1
0
8
8
0
0
0
0
0
4
4
6
0
4
4
4
4
4
4
16
16
16
16
0
0
1
1
16
8
28
16
16
16
16
8
8
8
8
4
16
16
16
16
0
0
4
4
4
4
0
0
0
0
1
36
36
36
36
4
32
8
12
8
8
8
8
2
2
2
0
0
0
0
0
0
8
1
1
1
1
18
18
18
18
18
18
18
8
8
8
0
16
16
32
32
4
4
0
16
16
0
24
0
32
32
16
16
16
16
0
0
1
0
8
8
8
8
0
0
16
16
16
16
18
18
8
8
8
8
8
4
4
4
40
8
16
8
8
16
0
8
0
0
0
0
0
8
1
24
8
8
8
8
0
0
0
0
2
2
8
0
0
0
0
16
8
8
8
0
16
16
16
16
16
16
16
8
8
8
8
0
0
8
8
8
0
0
16
16
0
0
0
4
4
4
4
4
4
4
5
8
8
24
24
24
0
0
3
3
3
16
16
4
20
20
4
4
4
8
12
12
0
1
1
1
17
8
8
8
8
8
4
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
2
34
2
24
24
24
24
24
0
16
1
0
8
8
16
8
8
8
8
8
16
16
16
16
8
1
9
9
9
16
16
48
0
4
4
4
4
4
4
8
4
0
0
0
8
8
8
8
48
48
8
16
16
16
2
8
16
0
48
8
16
16
16
16
2
2
2
0
0
0
8
8
8
8
8
8
8
32
32
32
32
32
32
0
0
0
0
16
16
16
16
10
10
0
0
16
8
16
25
25
25
25
8
16
16
24
16
16
8
8
8
8
8
20
20
0
8
8
8
0
0
0
0
0
8
8
8
16
18
8
8
8
8
4
16
8
8
8
8
8
8
9
1
4
4
4
8
8
8
4
4
16
4
20
4
16
16
24
16
16
16
16
16
16
4
4
16
16
16
16
4
4
4
4
4
4
16
16
1
4
0
28
28
8
8
8
8
18
16
0
1
1
16
16
16
16
8
16
16
0
16
16
32
32
8
8
16
32
32
32
32
2
10
10
24
8
8
8
8
1
16
16
16
8
16
24
8
8
8
8
8
8
8
24
1
8
8
8
27
27
27
27
27
16
16
16
8
16
8
8
8
8
1
1
4
4
4
2
24
32
32
4
4
6
6
6
6
6
6
6
0
8
8
8
16
4
20
4
20
12
12
1
18
2
0
8
13
13
17
17
17
17
1
1
1
1
0
0
16
16
16
32
32
0
0
8
8
8
0
8
8
8
8
8
8
16
16
16
16
16
1
1
0
8
24
24
8
24
18
18
0
12
12
24
24
24
0
27
27
8
8
8
16
16
16
16
2
2
1
1
8
0
1
2
16
16
0
28
8
8
8
16
2
8
8
8
8
0
0
4
0
0
0
0
0
0
1
16
16
16
16
4
4
0
0
0
0
0
0
16
8
0
2
0
52
52
16
0
0
0
0
12
40
0
8
4
8
8
16
16
16
16
1
8
8
16
16
16
16
16
16
4
4
16
16
0
0
0
4
4
1
1
0
2
1
1
16
16
16
16
0
0
0
0
4
4
5
0
16
32
0
0
0
0
0
0
0
8
8
16
4
4
4
4
8
8
8
8
8
16
16
0
0
8
1
16
8
24
24
8
8
8
8
12
8
8
8
8
41
0
8
8
12
0
0
32
2
8
8
16
8
17
16
1
49
49
26
26
16
16
16
16
16
0
0
1
1
1
16
16
16
8
32
1
33
20
4
20
8
4
4
4
4
4
4
4
4
4
0
0
0
8
0
8
8
11
11
16
1
8
8
16
16
2
16
16
16
16
30
16
16
8
8
8
16
8
24
16
8
16
16
0
0
18
0
0
16
16
16
16
12
8
16
16
4
4
12
16
16
31
8
8
8
24
16
8
8
0
12
8
8
8
16
16
16
20
20
8
16
16
0
0
0
8
8
8
0
16
16
0
0
16
16
16
16
8
8
8
8
16
8
8
8
8
4
16
16
0
2
16
16
8
8
8
17
17
9
1
16
16
0
16
16
16
16
16
16
16
16
16
16
48
16
16
16
0
2
1
1
0
16
16
16
16
16
16
16
16
4
0
0
8
4
0
8
0
1
1
0
16
16
16
16
8
8
8
8
8
0
20
22
8
8
8
8
0
16
16
16
16
16
8
8
8
2
2
2
0
4
20
20
20
8
8
8
8
2
2
2
2
16
16
16
16
0
0
16
8
16
16
16
8
0
8
41
16
16
16
1
1
2
2
2
2
2
0
0
18
16
16
8
8
8
8
16
16
16
16
8
8
8
8
8
8
8
8
8
16
0
16
16
16
16
16
0
56
56
56
8
8
8
8
8
24
8
8
16
16
16
8
16
17
1
1
1
1
8
8
8
8
8
8
8
4
8
8
0
0
0
16
0
0
32
16
0
4
4
4
16
16
16
0
0
0
8
8
0
0
0
24
24
24
1
1
0
4
3
1
0
0
0
0
16
8
8
8
16
8
32
8
8
1
1
0
0
0
0
0
4
12
4
0
16
16
16
16
16
16
0
32
8
32
32
32
40
8
8
8
5
2
4
2
4
2
9
2
0
0
32
16
48
20
16
16
8
24
24
24
32
8
16
16
16
16
16
16
16
0
5
1
1
1
1
1
1
1
4
4
4
16
8
24
16
16
8
32
32
32
32
32
0
16
16
16
4
4
28
12
8
8
8
16
16
16
24
24
24
0
0
8
2
16
4
8
8
4
0
6
6
6
16
0
0
0
4
4
0
0
0
0
16
0
0
8
8
1
1
1
1
12
12
4
4
4
4
4
4
16
32
32
0
8
8
8
8
8
16
24
8
8
8
16
8
8
24
8
16
8
0
0
0
0
2
0
8
2
8
0
0
60
17
17
0
0
0
4
4
4
0
0
16
16
0
2
2
0
8
8
13
13
16
0
0
0
20
16
16
2
16
16
8
8
8
16
16
16
16
16
22
22
22
8
2
2
2
8
8
16
8
8
8
8
8
16
20
24
26
8
8
8
8
8
8
8
8
8
8
24
8
8
8
8
8
8
16
16
16
16
32
8
8
4
1
4
4
4
5
4
1
1
1
45
1
1
24
8
32
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
17
2
18
29
1
16
16
16
8
8
8
8
0
0
8
8
4
16
16
16
8
16
6
0
32
8
8
8
8
8
8
0
8
8
17
17
8
8
8
8
8
32
32
32
32
32
8
16
8
8
0
0
0
0
0
8
8
8
8
8
8
8
2
2
8
17
17
17
17
0
0
0
8
8
8
16
16
16
16
16
0
4
4
0
4
4
4
4
4
4
4
4
18
0
2
2
16
16
16
16
16
16
0
0
8
24
24
24
24
24
24
16
16
0
8
8
8
8
8
8
8
0
4
4
4
16
16
16
8
1
8
8
8
8
8
8
16
16
16
0
16
29
29
29
8
16
8
4
0
16
16
49
49
49
49
24
16
16
16
4
16
16
16
16
16
16
32
32
32
8
0
0
8
16
16
8
16
0
0
0
32
32
8
8
8
0
16
32
8
40
8
0
8
0
16
16
16
8
8
8
8
8
24
16
20
0
0
4
4
4
4
4
8
0
0
0
2
2
0
0
28
4
8
12
8
8
16
16
16
16
16
16
8
12
8
8
16
8
8
8
8
28
8
8
4
0
12
8
8
2
0
0
8
12
4
8
4
0
0
0
8
8
8
2
2
2
2
2
0
0
0
0
16
16
16
16
16
16
16
16
8
8
16
24
16
16
6
6
6
6
6
2
2
2
8
8
8
8
8
8
8
8
0
16
16
16
0
8
8
0
1
1
1
4
4
4
0
0
32
32
32
32
0
0
8
8
16
2
0
8
8
8
8
8
0
8
16
8
8
4
4
1
1
0
32
32
8
8
8
8
8
2
16
16
8
4
4
20
20
20
0
16
16
16
16
16
16
8
4
4
4
60
8
1
1
8
2
1
0
1
1
1
0
8
8
4
4
4
16
16
16
8
4
8
9
9
0
16
16
16
16
8
8
1
2
2
8
8
8
8
8
8
0
1
1
1
1
1
1
16
16
16
16
8
8
24
0
0
0
0
1
16
8
0
8
4
12
0
2
2
8
8
8
8
8
8
16
16
16
16
16
16
16
16
16
16
2
2
2
2
0
0
0
0
8
8
0
16
16
8
8
16
24
0
0
2
2
4
4
4
4
16
16
16
16
16
16
16
16
0
0
0
1
1
1
1
8
8
8
8
8
0
0
1
1
1
1
1
1
1
1
4
0
8
8
8
8
8
8
8
0
0
12
8
16
16
0
0
4
4
2
2
2
2
1
8
8
1
1
1
8
8
8
8
4
4
4
16
1
16
4
4
0
0
0
4
17
4
4
0
8
8
8
8
8
8
1
1
1
1
28
20
16
16
16
16
16
16
16
4
4
4
8
8
8
8
8
8
8
8
8
1
15
16
16
16
8
8
1
1
20
20
20
16
0
0
0
0
0
4
4
0
4
28
4
0
1
9
1
16
24
16
8
8
16
4
4
0
0
0
9
9
4
4
4
4
4
4
24
24
24
24
4
24
16
16
16
16
16
16
1
1
1
1
0
2
8
8
8
8
12
4
8
8
8
16
16
16
16
8
8
8
8
4
4
4
0
8
4
8
8
0
8
8
0
0
4
24
8
8
16
0
8
8
28
28
4
4
0
8
8
8
8
8
0
16
20
16
28
28
28
0
0
0
0
0
0
0
2
2
24
24
24
0
16
0
0
0
0
0
0
0
0
16
1
0
8
8
8
8
16
16
16
1
1
1
8
0
0
2
2
2
2
2
24
16
16
1
1
1
1
8
28
16
16
8
8
8
8
8
0
20
16
20
4
16
16
16
32
24
0
0
1
0
0
16
16
16
8
8
8
0
0
0
8
8
8
0
0
24
24
24
24
24
0
4
4
4
1
4
4
4
0
0
0
0
0
0
1
1
17
1
1
9
16
16
1
1
1
1
8
8
8
8
8
8
8
4
4
4
4
12
8
8
0
0
0
8
8
8
0
0
0
16
16
8
16
0
16
16
16
16
20
20
0
16
16
4
4
4
2
2
2
2
8
16
1
16
16
0
0
0
0
16
16
16
16
6
6
6
6
6
6
4
25
10
10
16
16
16
12
0
1
0
0
30
30
30
30
22
0
1
1
1
1
1
1
8
8
1
1
0
0
0
28
8
16
0
16
16
16
32
40
32
32
0
0
4
4
4
4
4
1
1
1
16
16
16
0
4
4
4
4
8
16
16
1
1
2
2
2
2
2
0
0
0
0
6
2
2
1
1
1
1
16
0
8
8
8
1
1
3
3
3
3
3
8
8
8
16
17
17
17
20
4
4
0
0
0
0
0
0
0
8
8
8
8
8
2
0
8
8
2
4
4
8
12
8
0
0
16
1
1
16
1
1
8
9
8
2
2
2
8
0
12
4
8
8
8
8
8
17
17
17
1
1
1
25
25
8
8
8
4
4
4
32
32
32
0
8
0
0
0
16
16
16
4
0
0
0
16
16
1
16
0
0
0
0
0
24
24
4
4
4
4
4
4
4
4
4
4
4
8
8
8
0
0
0
0
59
0
24
16
8
24
4
16
16
8
16
16
0
0
0
4
4
4
4
8
4
8
16
16
8
8
4
16
1
1
0
18
8
0
8
8
16
16
16
17
16
16
16
0
0
44
44
36
8
46
16
16
16
16
16
16
16
8
8
8
8
16
16
1
1
1
48
8
8
8
8
8
4
4
1
1
1
8
8
0
0
8
8
8
16
16
1
24
0
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
20
8
16
16
16
0
4
4
0
0
32
32
0
8
8
16
32
2
16
16
6
2
2
8
8
8
8
8
8
8
8
18
26
0
8
8
0
0
8
8
8
8
8
8
8
8
8
8
16
16
16
16
8
17
17
16
16
16
8
2
2
2
2
8
8
8
8
0
0
0
0
0
0
16
16
0
8
8
8
8
56
8
8
8
8
8
8
8
8
8
16
16
1
8
0
8
8
0
0
8
0
0
8
8
8
4
4
4
4
4
4
24
24
4
4
4
4
4
32
2
2
18
32
32
32
32
32
32
32
0
4
4
4
4
4
0
0
0
8
0
4
4
4
4
16
24
8
8
8
8
16
16
16
16
16
16
16
16
8
8
4
4
4
4
4
16
0
0
8
8
8
8
8
8
1
1
1
1
1
0
0
8
40
8
8
16
16
16
16
0
0
0
0
16
1
8
8
8
8
8
8
8
16
16
18
18
18
2
4
4
4
4
4
4
0
0
8
8
8
8
8
8
16
16
16
4
4
8
8
8
4
16
2
0
16
16
8
8
8
16
16
16
8
8
0
4
4
4
4
4
4
0
0
8
8
24
24
24
24
0
0
0
16
16
16
1
0
0
16
16
0
10
10
10
16
8
8
8
16
8
8
8
8
8
4
4
4
0
8
16
24
0
0
0
2
32
32
3
2
2
2
16
16
4
4
4
4
4
8
0
0
0
0
0
0
24
24
16
16
8
8
8
8
8
6
6
4
1
20
24
24
16
16
16
0
4
8
16
8
8
8
12
61
8
0
0
0
0
0
0
8
8
8
8
0
0
8
8
8
8
8
16
16
16
16
8
8
8
8
0
0
1
16
20
20
20
16
0
8
8
8
8
1
2
2
0
0
24
24
24
24
24
1
0
0
0
0
16
16
16
16
32
16
8
8
1
1
1
1
1
1
8
8
8
16
16
16
4
4
1
1
16
8
24
16
16
8
8
8
4
32
40
8
8
8
2
2
2
0
21
17
17
1
1
16
18
18
1
8
1
1
0
0
24
24
4
16
1
16
8
8
8
4
8
8
8
9
0
8
20
8
4
8
8
8
8
8
4
4
8
0
0
16
8
8
16
16
16
16
17
17
4
4
4
4
4
4
0
0
8
8
8
0
0
0
1
1
8
8
8
8
8
8
8
8
4
4
8
8
8
16
16
16
20
22
20
0
0
0
0
0
0
0
16
16
16
16
16
0
8
0
0
8
8
8
8
0
0
16
1
8
18
16
16
16
16
32
32
32
32
32
1
1
1
49
49
17
17
41
41
32
33
33
16
16
16
16
1
1
1
16
16
16
16
2
18
18
16
16
0
0
8
8
12
28
24
8
8
8
8
8
8
8
8
8
8
8
8
8
0
8
8
4
0
8
8
8
8
8
8
16
8
0
0
0
0
0
0
0
0
12
0
18
2
2
8
8
16
0
16
16
16
11
3
8
16
16
16
16
5
5
4
0
32
4
8
8
4
4
8
8
0
16
16
8
8
16
24
8
8
8
0
16
16
16
16
32
0
0
0
16
16
16
16
8
16
16
16
16
16
12
8
8
8
28
4
4
32
8
8
8
8
9
32
0
8
8
8
8
0
16
16
16
4
4
1
1
17
1
0
32
8
0
29
0
16
16
16
16
16
24
16
16
16
16
16
16
4
16
16
20
20
16
16
32
32
1
16
24
24
24
8
10
4
0
0
0
9
9
8
8
8
1
1
1
1
0
24
24
0
0
0
0
0
0
0
4
8
0
16
24
16
1
1
16
16
16
16
0
0
0
0
8
8
16
4
0
0
8
2
2
2
2
2
8
2
4
4
4
0
2
2
2
0
0
0
4
0
20
16
16
16
16
8
8
16
16
8
16
4
4
4
8
8
4
8
8
0
4
4
4
4
8
8
8
8
8
8
16
8
0
0
0
8
0
0
0
8
8
8
8
0
16
16
2
2
2
9
9
9
9
0
0
0
0
8
8
0
8
8
1
1
8
8
4
16
16
24
16
16
0
0
0
16
16
16
1
2
2
2
2
2
2
2
1
1
16
16
16
16
16
16
0
0
1
1
1
1
8
8
8
4
8
8
0
0
16
16
16
0
4
4
4
0
0
0
16
16
16
16
17
8
8
8
32
32
32
32
16
16
16
16
16
16
16
32
8
40
2
2
16
16
16
16
16
8
8
16
0
18
18
16
4
48
8
8
2
2
2
4
16
8
8
15
15
0
1
2
26
2
8
16
8
8
34
32
32
32
1
1
1
20
0
0
16
16
1
1
8
4
8
8
4
16
8
8
8
0
0
16
8
8
8
0
24
24
24
0
0
0
20
28
20
20
20
0
0
0
0
0
1
16
16
16
2
2
8
16
16
16
16
4
4
8
8
0
16
16
16
16
16
16
16
16
0
8
8
8
0
0
16
8
20
8
8
8
16
8
8
16
32
32
16
16
16
16
8
8
8
16
16
16
16
8
0
8
8
16
16
0
24
8
8
4
8
0
0
0
0
0
0
0
16
16
16
0
0
2
33
25
25
25
25
0
0
0
0
0
16
16
16
16
16
61
61
61
0
0
8
4
38
0
24
16
8
0
8
0
16
16
16
16
16
1
4
4
4
4
4
0
8
44
8
8
0
2
16
16
0
0
0
52
0
2
0
20
16
48
16
16
16
16
16
16
8
8
8
8
8
8
8
8
24
24
8
16
16
16
8
12
8
8
8
8
16
8
8
8
8
8
8
24
0
0
8
10
12
4
4
4
4
4
4
8
8
0
0
0
0
16
16
16
8
1
16
16
16
16
16
16
16
16
16
16
16
16
16
8
8
8
2
8
8
8
4
4
4
0
16
8
8
8
8
16
16
8
8
8
8
16
16
3
3
2
8
8
8
0
0
0
8
8
8
8
1
16
8
16
16
20
8
16
16
42
16
8
8
8
8
8
8
0
28
28
28
4
16
16
16
16
24
24
24
8
8
13
13
8
4
1
1
24
8
8
32
32
8
8
8
8
8
8
2
2
2
2
2
8
8
8
12
8
0
28
24
0
16
8
0
0
16
16
8
0
1
1
1
0
2
0
0
0
20
4
4
1
1
0
8
8
8
8
8
8
24
24
8
8
8
8
8
8
8
4
8
1
1
8
8
8
8
8
4
8
0
8
16
16
4
4
4
8
8
24
0
8
8
8
16
8
16
16
16
0
8
0
1
16
16
16
0
50
8
8
16
4
20
16
16
16
4
4
4
34
34
34
0
1
0
0
2
8
8
8
24
0
0
1
8
16
8
33
2
2
2
2
2
2
8
8
8
24
24
24
16
16
0
8
8
8
8
8
8
0
0
16
16
16
16
16
24
1
1
1
8
8
8
0
4
4
8
16
8
8
12
32
32
0
8
8
24
8
8
8
8
8
8
8
8
8
2
2
0
8
0
0
8
8
38
8
0
0
0
0
1
1
8
8
16
16
4
8
8
8
1
17
17
17
17
16
8
8
8
16
16
16
18
16
2
18
0
6
6
2
2
2
2
9
8
9
9
0
4
4
4
1
8
8
8
16
16
16
16
16
16
16
16
16
8
8
4
8
8
8
8
8
8
8
24
56
56
56
0
4
4
0
16
0
6
1
8
8
28
1
8
8
20
20
8
0
16
16
16
16
16
16
16
16
8
0
16
58
8
24
24
24
24
8
8
8
8
8
8
8
16
20
16
0
0
8
8
24
8
8
1
8
8
1
16
16
16
16
4
16
16
0
16
16
16
0
0
16
16
16
8
8
8
4
4
8
2
2
2
2
0
8
4
8
8
8
8
16
24
1
16
1
32
4
4
4
4
4
24
16
16
16
8
8
8
8
8
8
16
16
8
16
1
18
2
8
8
32
12
12
12
16
16
16
0
1
9
16
16
0
0
8
8
8
0
1
8
0
0
0
24
8
8
16
2
16
24
8
0
16
1
8
8
35
2
26
2
16
16
16
1
1
1
0
8
8
8
4
8
16
16
8
8
8
8
8
0
8
8
8
4
4
0
8
8
8
1
0
0
8
8
8
8
8
2
2
16
16
16
16
8
8
8
2
2
2
2
2
2
16
20
16
16
16
0
0
0
0
24
16
16
16
16
8
32
8
8
0
8
8
8
8
0
0
16
0
0
16
16
20
2
2
2
16
50
0
0
0
0
8
8
8
8
4
16
20
20
4
4
8
16
16
1
1
1
0
4
4
8
8
20
16
2
2
8
24
0
4
8
4
4
8
8
8
8
18
16
16
16
4
16
20
20
0
0
8
8
8
8
8
8
8
0
0
0
8
8
8
8
8
8
8
12
8
8
8
8
3
3
0
1
1
1
1
1
17
17
8
17
0
20
16
0
0
0
0
0
0
0
16
4
4
0
2
1
8
16
16
16
16
16
8
8
8
8
2
2
0
4
0
0
0
8
4
16
16
8
20
20
20
20
32
32
32
32
4
4
4
4
8
8
8
24
24
24
4
4
4
0
16
8
8
2
2
0
0
16
16
8
4
8
16
20
4
16
16
0
4
4
4
16
32
32
32
0
0
0
0
8
24
4
4
4
4
20
16
1
1
0
0
0
20
16
21
0
16
16
0
1
1
1
16
16
8
8
8
12
8
8
8
16
2
16
16
4
4
9
9
0
0
16
4
4
4
4
16
16
16
16
16
8
8
8
24
24
2
2
8
8
8
0
25
4
4
16
16
0
0
0
0
16
16
16
8
8
16
8
16
0
0
0
8
8
8
2
2
18
8
8
8
8
8
8
8
8
8
1
1
1
1
24
16
16
0
0
8
24
8
32
32
32
4
1
0
0
0
8
8
8
24
16
16
16
0
0
8
8
8
8
32
32
16
16
16
16
16
16
16
16
0
0
8
8
8
9
16
4
8
5
5
0
8
16
16
16
0
4
4
4
24
1
3
4
4
4
8
8
8
8
12
12
16
16
8
24
8
24
8
24
24
24
1
16
0
6
1
16
16
0
0
8
6
4
12
28
0
8
16
16
1
0
0
4
4
4
0
0
8
8
8
8
8
8
8
4
4
4
4
4
16
16
1
16
16
4
4
4
4
4
4
16
16
16
16
16
16
16
16
16
16
24
24
8
0
0
0
1
4
5
12
0
24
8
8
8
16
16
16
16
16
16
0
2
2
16
16
28
1
1
24
8
4
4
4
4
4
4
4
4
4
4
4
4
12
4
4
4
4
2
2
4
4
16
12
8
8
8
8
8
8
8
8
0
16
16
16
16
16
16
16
16
4
8
8
8
8
24
8
0
0
1
8
8
8
8
8
0
0
24
4
4
4
4
4
4
4
0
2
16
16
16
24
16
0
16
16
16
16
6
1
1
9
1
4
8
8
24
24
24
8
8
8
16
16
16
1
1
8
8
16
23
24
24
8
8
8
8
8
8
16
8
16
16
16
0
2
4
12
12
12
12
8
8
8
8
16
0
8
8
8
0
0
0
9
20
20
16
0
8
8
6
6
6
6
8
8
8
8
8
8
0
0
2
4
8
2
8
16
48
48
8
2
8
0
8
8
8
8
0
0
0
0
0
0
1
0
16
16
16
0
8
16
16
8
8
0
16
8
8
8
0
0
0
42
4
20
20
20
4
16
8
8
6
4
4
8
8
4
8
8
8
8
8
32
32
0
1
16
16
24
16
8
0
0
8
8
8
8
8
8
8
8
8
8
16
16
0
16
16
16
16
8
8
8
8
8
8
8
8
16
8
8
8
0
32
32
32
32
32
32
16
16
20
0
0
0
0
16
8
16
24
9
9
9
9
32
0
0
8
8
8
8
1
17
1
1
1
1
4
4
8
8
8
8
8
8
8
1
2
2
2
2
2
1
1
1
1
0
0
0
3
3
3
16
4
16
8
8
8
16
16
16
4
4
4
4
0
8
8
0
0
8
0
16
20
16
24
16
16
21
21
16
16
4
16
4
8
8
8
4
4
1
16
16
0
0
16
16
16
16
2
8
8
28
0
0
12
8
8
0
0
0
4
4
8
2
2
2
2
16
16
16
16
16
16
16
16
16
16
4
20
20
20
0
2
16
2
16
16
16
16
16
16
0
42
42
42
42
10
10
10
0
0
0
0
0
0
0
16
16
16
16
0
0
0
16
16
16
16
0
8
8
8
8
1
1
1
1
1
2
2
2
16
16
16
8
8
0
2
0
0
8
8
8
8
16
8
0
1
1
0
0
16
16
16
16
16
16
16
8
8
16
24
0
0
0
0
16
16
16
8
8
8
0
8
8
8
8
16
16
8
0
10
8
2
0
0
0
0
16
16
16
40
40
16
35
8
8
12
4
4
1
1
1
8
16
2
0
0
0
8
8
11
8
8
1
16
16
16
16
16
8
4
0
2
6
6
2
1
1
1
1
1
0
0
4
8
8
8
4
28
4
4
4
4
8
16
4
8
8
8
20
8
8
8
8
49
16
16
16
16
16
24
56
24
16
16
0
8
8
10
16
0
0
0
0
16
16
16
8
8
4
24
24
24
16
16
8
16
16
16
16
8
8
20
20
16
16
16
16
0
1
0
10
10
10
16
10
4
4
4
0
16
24
16
16
4
16
16
16
16
16
16
16
16
16
3
16
16
16
4
4
4
4
0
0
8
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
16
16
2
2
2
24
24
16
24
16
8
8
8
8
8
8
8
8
4
4
4
18
18
24
0
24
24
8
17
4
4
2
2
16
0
0
0
0
0
24
8
56
16
0
0
0
4
4
4
4
0
0
0
16
16
16
0
0
2
9
24
8
8
8
8
8
16
1
8
8
8
16
16
16
16
16
16
1
1
1
18
2
16
8
8
8
8
8
8
2
16
2
8
8
0
0
0
16
16
8
0
4
4
0
0
0
2
0
16
16
24
16
16
16
8
16
0
25
24
1
0
0
0
1
1
8
8
4
4
0
24
24
24
2
2
2
8
8
8
8
8
8
8
16
24
12
12
0
0
0
0
0
0
0
0
45
32
32
32
24
16
16
24
8
8
8
8
8
0
0
16
0
8
8
8
16
16
0
16
8
8
8
0
8
8
8
8
8
8
8
8
8
4
4
4
4
4
59
16
16
5
0
1
1
1
1
1
1
8
8
24
16
8
8
24
24
24
16
16
16
16
16
16
16
16
16
1
1
16
16
8
8
8
2
2
32
32
32
0
16
2
4
2
0
8
8
24
24
0
8
8
8
8
0
0
8
0
0
0
0
16
16
16
24
16
16
16
0
8
8
8
1
1
1
1
1
1
1
1
1
8
8
0
16
40
40
8
16
16
16
16
16
16
16
16
8
8
16
16
8
24
8
16
16
16
16
16
16
8
8
8
16
16
8
8
8
8
8
8
16
16
16
1
12
8
8
8
8
8
5
2
5
16
16
16
22
22
22
16
16
1
8
8
0
4
16
8
16
16
24
24
8
17
8
8
0
1
8
1
8
2
2
2
8
10
6
6
16
16
16
16
16
0
2
0
8
8
8
8
8
8
8
8
12
8
0
8
16
4
4
4
4
4
1
1
0
0
16
16
16
16
8
8
40
8
0
16
16
16
32
32
32
32
32
32
32
32
32
32
0
0
8
16
16
16
16
0
16
16
16
2
2
2
2
2
4
4
4
4
4
4
0
12
0
8
8
16
16
16
12
8
12
24
16
16
16
8
8
0
4
4
4
4
4
0
0
16
16
0
16
16
16
0
0
0
8
8
32
32
32
32
32
8
8
4
4
8
2
8
2
2
16
16
16
16
18
18
18
8
8
8
0
0
0
16
0
0
0
0
4
4
4
4
20
16
16
16
16
8
8
8
8
8
8
0
0
6
0
2
2
2
4
16
16
16
1
1
1
12
8
8
8
8
24
1
1
1
1
1
1
1
1
1
1
1
1
0
8
8
8
8
0
0
0
0
0
0
16
16
16
16
16
1
1
1
1
1
1
1
1
1
1
1
0
0
0
16
0
8
24
8
8
2
12
2
1
8
2
1
1
1
4
12
4
4
4
4
4
4
4
0
8
8
8
8
16
16
0
2
2
16
8
8
0
8
1
17
1
1
1
8
8
8
8
2
3
8
8
8
12
8
0
0
6
8
8
24
24
24
8
8
8
8
8
0
0
0
9
8
16
8
8
8
4
4
0
34
34
9
16
1
16
16
16
16
16
16
16
20
20
20
8
8
8
8
8
8
8
24
24
24
8
8
1
1
1
1
1
1
16
1
8
0
48
8
2
2
2
4
20
16
16
16
16
16
16
16
16
2
0
0
8
8
0
8
8
0
2
2
0
20
20
20
4
16
1
4
4
4
8
8
8
8
8
8
8
12
8
1
1
1
16
8
0
0
16
32
32
32
32
32
32
0
4
16
8
8
16
8
0
0
0
0
0
12
8
4
4
4
32
16
16
16
4
4
8
8
4
16
16
20
8
28
16
16
16
4
4
4
24
24
0
16
16
0
0
0
0
0
8
8
0
32
32
0
0
1
0
0
8
8
8
8
4
4
4
20
20
1
0
8
8
8
8
8
8
7
7
7
4
4
4
48
16
16
16
0
4
4
4
16
4
2
16
16
8
32
16
4
16
16
16
16
2
24
0
8
8
8
8
1
4
16
0
0
4
4
4
4
1
1
9
1
1
1
0
8
8
8
8
4
4
4
12
4
4
0
0
8
8
8
8
56
0
4
4
8
8
16
0
12
8
8
8
8
8
8
0
1
1
8
16
16
16
16
16
16
16
24
24
24
24
2
2
2
16
8
0
0
0
8
8
16
16
16
0
0
8
24
24
1
9
1
1
1
1
8
8
17
8
22
22
22
16
16
16
16
0
0
0
1
1
1
1
1
1
4
4
36
4
2
2
4
4
4
4
4
8
8
8
8
8
8
12
16
0
16
16
16
0
8
8
8
1
1
1
8
8
9
19
2
2
16
34
16
8
8
16
0
0
8
8
2
2
2
24
24
4
2
4
6
6
6
32
8
16
16
16
16
16
0
0
8
8
8
8
1
1
1
1
1
8
8
8
0
24
24
24
1
1
1
1
3
3
4
0
8
8
8
8
8
8
16
16
16
8
8
8
16
4
20
12
4
4
12
4
4
4
8
4
2
16
16
1
2
2
2
8
24
0
8
8
8
0
2
2
8
0
1
1
32
8
32
32
32
0
0
0
0
0
0
8
8
8
8
8
1
0
8
0
0
0
0
0
0
6
24
8
8
8
8
0
0
28
28
1
17
0
1
16
16
2
16
8
16
12
4
4
4
17
17
16
8
16
16
16
0
12
8
16
24
0
0
0
4
4
6
4
4
20
0
0
0
8
8
4
4
4
10
8
1
9
1
0
0
16
16
16
0
8
24
24
16
16
10
2
2
0
0
4
8
8
8
18
18
18
18
18
18
0
0
0
8
8
16
16
16
16
8
12
8
8
16
8
8
17
17
8
8
8
8
8
8
8
8
8
16
16
24
24
8
8
24
8
16
8
1
1
1
0
0
0
0
0
8
8
8
8
8
2
0
8
8
0
32
8
8
8
8
8
0
8
8
16
8
8
8
8
8
8
8
8
4
4
8
8
8
8
8
8
8
4
0
0
0
32
32
6
22
0
0
0
0
0
1
16
28
28
28
28
28
28
28
28
28
16
16
16
16
8
16
16
8
8
3
1
1
2
2
2
0
0
0
0
8
8
8
24
24
24
8
8
8
16
24
8
0
0
0
0
0
8
8
8
8
0
8
8
8
0
0
0
16
16
4
0
8
0
32
32
32
32
32
32
2
0
0
16
16
8
8
16
0
0
16
16
16
28
8
4
4
8
8
8
40
32
16
3
3
8
0
0
41
0
1
16
8
8
8
8
12
0
32
8
8
8
8
8
2
8
8
8
0
0
0
9
1
8
8
32
16
16
0
0
16
4
4
4
4
24
24
8
8
8
0
0
4
4
0
8
1
0
8
51
8
60
8
0
0
0
0
0
16
16
16
8
8
8
20
2
16
16
16
16
8
0
0
2
2
2
8
8
8
8
8
8
8
4
8
8
8
2
2
0
0
0
0
4
4
4
8
8
8
8
8
8
8
16
8
8
16
10
2
8
16
16
16
9
16
8
8
8
3
16
4
8
0
24
8
2
2
1
9
1
8
16
16
16
1
0
2
2
24
16
16
8
24
9
40
32
8
9
6
6
1
1
32
32
0
24
16
16
0
0
22
22
22
8
0
17
17
1
16
16
16
16
16
1
1
1
1
1
8
8
8
0
2
2
2
41
41
9
0
0
16
8
8
8
0
8
8
8
8
8
8
8
8
8
8
16
24
8
8
8
8
8
16
16
18
16
16
16
16
16
16
16
8
8
0
0
8
8
0
0
0
0
0
0
8
8
8
8
2
16
16
18
16
16
8
8
8
8
8
8
16
0
0
4
4
32
32
32
32
2
14
16
16
24
8
8
16
8
4
0
16
16
16
16
9
8
8
8
8
8
16
0
0
0
16
16
16
16
16
8
16
16
24
24
24
24
24
8
8
8
0
0
0
32
32
4
4
0
0
0
60
0
18
18
18
18
24
0
18
0
8
0
32
4
1
2
2
2
2
0
0
0
8
8
8
8
8
8
8
8
0
0
0
4
4
8
8
0
16
16
16
4
8
8
8
8
8
4
8
8
8
8
0
0
0
0
0
0
3
18
8
4
4
24
1
1
1
0
8
8
8
8
8
0
0
8
16
16
16
16
16
0
0
0
2
1
0
0
0
16
16
16
16
6
6
6
6
0
16
8
16
16
16
16
16
1
1
1
2
16
16
16
2
2
8
8
8
0
0
1
1
1
1
1
1
1
1
0
16
4
20
0
1
0
8
8
8
8
8
8
9
9
9
2
12
12
8
1
1
0
0
0
16
4
4
8
16
16
16
16
16
2
2
2
2
2
2
0
2
2
4
4
4
16
16
8
8
8
0
0
0
0
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
8
0
0
16
16
16
16
8
4
16
4
16
41
0
0
8
8
8
0
0
0
0
16
16
16
16
16
8
8
24
2
8
0
40
0
16
16
16
16
16
16
16
16
8
8
4
4
0
8
4
1
0
0
16
8
8
8
16
16
16
16
8
8
8
8
8
9
8
8
8
32
32
32
1
1
16
8
8
8
8
8
8
8
8
0
16
16
16
16
16
16
4
16
4
16
24
8
8
8
8
8
8
8
8
16
0
0
8
8
8
0
32
32
32
32
24
24
8
0
0
16
16
16
16
16
1
2
2
2
4
4
8
8
8
24
8
2
8
10
8
8
2
1
1
1
8
8
16
16
16
10
2
2
2
0
2
2
8
8
8
24
8
8
8
8
8
8
8
24
8
8
8
20
8
16
0
1
1
1
8
1
1
1
8
0
0
0
0
0
0
16
8
8
8
16
16
0
0
0
8
8
8
8
8
4
8
8
8
0
8
8
8
1
1
1
0
0
0
32
2
6
4
16
0
24
24
24
24
24
24
24
24
0
55
55
20
16
4
16
0
4
24
24
8
8
16
0
0
8
8
8
32
33
33
32
32
32
32
2
2
4
4
4
4
4
32
32
32
32
0
0
0
0
2
2
16
16
16
16
16
24
24
1
24
24
16
16
16
16
8
0
8
8
8
8
0
16
24
16
0
16
48
16
16
0
32
8
8
24
0
1
4
4
4
4
4
16
16
16
16
8
8
16
16
16
16
16
1
8
8
0
0
0
8
8
8
8
8
0
8
8
8
8
16
16
16
16
16
16
40
8
1
1
1
1
9
2
2
2
40
24
16
16
16
2
2
32
32
32
2
2
2
8
16
8
16
16
4
4
16
24
0
0
0
0
16
20
20
12
16
18
2
16
1
4
0
16
16
8
0
0
0
16
16
16
16
16
16
16
1
0
0
8
8
16
16
24
0
0
16
16
16
0
0
16
2
18
0
4
2
8
8
8
8
0
0
8
8
8
8
8
8
8
8
8
8
16
16
16
16
24
24
24
24
24
4
4
4
16
16
16
16
16
16
16
16
16
8
12
16
0
0
0
0
12
12
8
0
1
1
0
0
0
0
0
16
16
8
8
8
8
8
16
16
2
18
2
0
0
0
0
0
0
0
24
24
24
0
0
1
3
2
2
2
2
2
2
2
16
16
16
32
32
40
40
8
8
8
0
0
8
8
0
4
4
4
0
8
8
8
16
16
8
8
0
2
2
2
0
8
8
0
26
9
0
0
0
16
16
16
16
16
16
8
8
16
8
8
8
40
40
0
8
8
8
8
8
28
28
8
32
8
24
8
8
16
16
1
16
0
8
2
2
2
2
2
2
0
0
0
0
16
16
0
12
8
8
8
8
8
8
0
0
8
8
8
8
1
8
8
1
2
18
2
2
2
0
16
16
16
16
16
16
0
8
2
2
8
10
1
1
62
38
38
16
16
16
16
16
16
16
57
57
57
57
57
8
8
16
8
8
8
0
0
0
0
0
6
30
30
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
16
16
16
16
16
16
16
0
32
10
4
4
4
4
0
12
16
32
8
8
8
8
16
16
1
1
1
1
3
1
1
1
1
0
0
0
8
1
1
8
8
8
8
8
8
0
8
12
2
2
2
2
16
16
1
1
1
0
0
24
8
8
8
16
16
16
0
0
0
0
0
0
0
0
2
2
2
9
9
9
9
9
9
9
9
9
9
9
8
8
8
8
8
40
40
40
8
8
0
16
8
4
0
0
0
0
0
1
1
1
1
1
16
16
0
2
16
16
16
16
16
8
16
16
16
16
16
16
16
16
16
16
0
16
24
16
16
16
16
16
0
0
0
0
0
8
8
8
8
8
16
16
16
8
8
8
8
2
2
32
8
32
32
32
4
4
0
16
0
0
0
0
8
8
4
8
8
8
8
8
8
16
16
1
1
1
1
0
4
8
8
8
8
4
4
16
0
8
8
8
8
8
8
8
8
32
0
18
18
2
2
8
24
8
1
8
0
8
8
4
4
8
0
8
8
0
1
1
1
1
1
1
0
0
16
8
8
8
8
8
8
0
8
8
8
8
8
1
1
1
1
1
1
1
0
1
1
1
24
1
1
1
16
16
16
16
0
2
2
2
2
2
2
2
2
4
4
4
4
4
4
4
4
0
0
8
16
16
16
0
8
8
8
17
17
17
17
17
4
4
0
0
8
10
10
0
16
16
32
32
8
8
9
8
16
8
16
16
16
16
8
8
4
32
32
32
16
16
18
8
8
8
24
16
0
8
8
8
8
8
8
8
8
8
8
8
1
18
18
16
16
4
4
0
32
32
4
8
8
8
8
8
0
2
4
8
16
16
16
0
16
2
2
0
10
0
32
32
56
8
8
8
1
4
2
1
2
2
16
16
16
16
16
16
16
0
0
0
0
0
8
8
8
8
2
0
32
32
32
32
8
1
1
10
0
7
2
16
0
23
4
1
1
4
4
4
16
16
16
8
0
0
0
2
24
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
20
0
6
0
32
32
32
1
8
0
0
0
8
8
8
8
8
4
8
24
2
2
24
24
12
24
8
8
8
0
0
0
8
8
0
0
16
16
16
8
8
12
12
4
4
0
4
6
0
32
0
9
8
2
1
1
1
0
1
8
8
1
1
1
31
0
0
0
0
4
4
16
16
16
16
8
8
2
2
10
8
8
8
8
24
17
17
16
16
16
16
8
8
8
8
8
8
16
16
0
16
16
16
16
8
8
8
16
24
24
0
8
0
8
8
16
16
8
8
8
4
4
4
0
0
6
2
2
8
8
2
0
8
8
8
1
8
9
0
0
4
16
16
16
16
32
32
12
12
12
0
57
57
4
4
4
1
13
4
8
8
4
0
0
0
8
8
8
2
2
1
1
8
0
32
16
16
16
16
48
8
8
8
8
0
0
0
0
16
16
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
48
48
0
0
1
8
8
26
26
26
2
6
2
2
2
2
2
0
16
16
16
16
16
0
4
16
16
8
8
8
8
16
8
8
0
0
0
16
8
8
8
0
0
0
0
0
1
1
1
16
16
32
32
0
8
8
8
8
8
8
8
8
32
16
8
8
8
1
1
1
1
1
1
1
4
32
32
32
32
32
32
2
2
2
0
0
2
2
8
0
0
0
8
8
1
1
1
1
2
2
2
2
2
0
0
4
4
8
8
12
0
8
8
8
8
16
16
16
8
0
0
16
8
8
8
32
8
8
8
8
8
0
40
8
49
0
0
0
2
8
8
8
8
8
4
2
8
8
8
8
8
8
8
8
8
8
17
17
17
17
16
16
16
16
16
32
32
8
8
8
0
0
32
32
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
16
1
1
1
1
0
0
0
8
8
4
4
8
16
16
16
16
16
0
8
8
0
16
8
32
40
16
16
16
16
16
16
16
16
16
1
1
1
32
8
8
16
16
16
2
8
0
8
0
32
24
8
16
16
16
48
16
16
20
4
4
16
0
0
0
8
18
18
8
8
0
0
18
0
0
0
2
2
4
16
4
4
4
4
4
4
8
8
8
8
0
0
8
0
8
8
4
4
2
2
2
4
4
4
4
4
4
4
0
4
8
16
16
16
16
16
16
1
8
8
2
2
2
16
5
5
5
5
5
8
0
0
0
0
0
0
0
16
0
0
0
16
8
8
8
8
8
8
8
8
8
18
16
2
2
16
2
2
8
16
16
0
8
8
16
16
16
16
2
2
2
2
2
2
0
16
4
16
4
2
2
4
4
4
8
8
0
0
8
8
8
0
4
4
4
32
8
8
8
8
8
0
0
4
0
0
0
0
0
9
28
28
28
28
28
16
16
26
16
16
16
8
8
8
2
2
16
16
1
0
0
8
20
0
0
0
8
8
8
8
8
0
8
8
10
0
4
4
20
4
1
1
1
1
0
0
0
0
2
2
2
2
2
8
0
0
0
20
20
0
24
8
8
8
40
40
24
8
8
8
0
0
0
8
8
8
8
8
16
16
16
4
4
8
8
24
0
0
0
0
0
0
16
16
4
4
0
0
2
2
2
0
0
0
16
8
16
24
16
16
18
18
16
24
8
16
16
16
16
16
16
16
1
1
0
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
1
16
16
0
0
4
4
1
1
0
0
0
8
16
24
0
1
0
0
9
8
24
24
24
4
4
17
0
0
1
1
1
1
1
12
16
16
8
32
8
8
8
4
4
4
4
16
4
4
4
24
0
4
41
41
41
1
1
9
16
16
0
4
0
0
16
16
16
16
0
2
2
2
8
8
8
16
18
8
8
8
8
8
8
8
8
8
8
8
8
8
1
0
0
0
0
8
8
8
0
0
0
32
32
8
8
8
0
8
8
16
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
17
16
16
16
16
17
8
12
1
1
1
1
1
0
8
8
8
8
8
8
8
16
1
1
7
6
16
16
16
16
16
16
16
8
8
8
8
8
8
8
8
8
8
8
8
1
1
0
4
8
2
0
0
4
4
16
16
16
16
16
16
0
8
0
16
16
0
0
0
1
1
1
1
0
0
16
0
0
14
0
8
8
1
0
0
0
4
1
8
8
16
16
0
8
8
8
8
16
16
16
0
0
16
16
2
2
2
2
2
8
8
8
8
0
8
8
8
8
0
0
8
8
8
8
8
4
10
4
0
2
0
0
32
32
32
16
16
16
16
8
18
2
16
17
17
4
16
16
16
16
16
16
1
16
16
16
8
8
8
8
8
8
8
8
8
16
16
0
0
0
16
0
0
16
16
16
16
8
16
8
16
8
8
8
16
16
16
16
4
1
1
1
1
8
8
20
20
4
8
8
0
8
16
0
0
16
16
32
32
32
4
4
4
4
4
16
16
16
8
8
8
8
8
8
8
8
8
8
4
4
12
16
0
2
1
24
24
24
8
8
8
8
8
8
8
2
8
8
16
16
16
24
8
8
8
0
0
0
1
9
1
1
1
1
16
8
8
8
0
0
16
16
16
16
16
16
16
16
16
16
16
0
16
16
16
8
16
8
8
8
8
16
9
9
9
8
8
8
8
18
8
8
1
1
1
0
32
0
16
0
8
8
4
4
4
4
0
8
1
8
16
8
2
1
8
8
8
16
8
8
49
16
16
16
16
16
21
1
1
0
16
8
8
8
8
0
8
8
0
8
8
8
8
8
8
8
32
32
2
2
2
0
0
4
4
4
4
0
0
8
14
14
60
60
2
32
32
16
8
0
8
32
8
1
1
1
1
1
1
1
0
16
8
1
1
1
16
16
16
16
24
24
24
24
0
4
4
4
24
4
4
2
2
0
24
24
24
24
24
24
4
4
8
8
8
8
0
8
0
0
4
4
4
8
4
1
8
8
8
16
8
8
4
4
4
16
24
16
16
8
8
8
8
8
0
16
4
16
16
16
0
8
24
1
8
8
9
16
2
8
8
8
0
1
16
0
4
1
8
8
8
8
8
8
8
8
8
8
8
8
8
8
2
6
6
6
6
9
8
1
9
0
2
24
24
1
1
4
1
1
1
16
8
8
0
0
0
1
1
2
2
16
0
8
8
8
8
8
8
8
8
8
16
16
16
16
8
0
0
16
16
32
32
2
8
8
8
16
8
0
16
16
16
8
0
4
4
4
4
1
1
1
1
16
16
16
24
24
4
4
2
2
2
4
4
4
4
4
4
4
4
16
16
0
56
8
8
8
16
16
16
16
16
16
8
16
16
16
16
16
17
16
16
18
0
0
4
4
0
0
0
0
8
8
8
0
0
16
8
8
8
8
0
10
8
8
8
16
24
8
2
16
8
8
8
8
8
4
0
0
2
2
48
2
2
2
0
2
2
2
8
8
8
8
8
2
2
2
8
8
16
16
16
12
12
12
0
2
2
2
16
32
16
16
8
16
0
16
16
16
16
16
16
16
16
16
1
4
4
4
4
4
8
4
4
0
8
10
19
32
8
0
8
8
8
8
12
8
8
8
8
24
24
0
0
8
16
16
16
16
16
16
16
16
8
2
2
8
8
8
8
8
8
1
0
0
0
16
0
16
16
16
1
0
4
12
4
4
16
0
4
8
1
16
16
16
16
16
16
16
0
0
0
0
4
8
8
1
1
9
1
8
8
8
8
8
8
0
0
16
16
24
8
8
8
28
28
16
16
16
16
16
16
16
16
16
16
16
33
8
4
4
4
4
4
0
0
0
0
16
8
8
2
10
8
8
16
16
16
33
16
16
4
4
0
0
16
24
4
4
4
4
4
16
16
16
8
2
2
2
2
2
0
32
2
8
8
8
8
16
16
16
0
32
32
32
13
12
1
16
0
0
0
8
24
9
8
16
8
1
24
24
16
16
8
8
8
8
0
8
0
16
16
16
16
24
4
32
0
16
9
24
8
12
12
12
12
12
12
12
16
16
16
16
16
16
20
16
52
12
12
0
0
0
0
0
0
16
16
16
0
16
8
8
8
16
16
0
0
0
2
1
0
8
8
0
0
0
0
0
4
4
0
17
16
16
17
1
2
6
4
1
0
0
8
32
16
6
6
2
12
0
0
8
4
1
4
16
16
16
40
32
8
12
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
1
1
28
28
9
16
0
0
0
16
16
16
16
16
32
12
54
54
16
8
8
8
16
16
16
16
16
16
16
16
16
8
56
8
16
0
16
5
5
16
8
8
8
32
12
8
8
8
16
16
0
4
4
4
3
3
16
16
16
16
16
16
8
8
8
8
8
8
8
8
8
8
0
0
0
0
2
2
0
0
0
8
16
8
8
8
1
1
1
8
8
32
0
0
32
32
0
0
8
8
8
8
8
8
8
8
8
8
0
0
0
33
33
0
0
2
2
32
8
32
3
3
3
3
3
3
3
24
8
16
8
0
16
8
8
16
16
16
16
16
16
16
16
16
10
1
1
1
32
32
32
32
0
0
2
2
2
16
0
16
0
1
4
5
16
16
16
16
16
16
16
16
16
0
0
0
4
4
8
4
12
8
8
24
16
8
8
24
8
8
9
9
16
16
1
1
8
8
16
16
16
16
16
16
16
56
8
0
4
4
4
1
1
0
12
2
4
4
4
4
1
8
1
1
16
0
0
16
2
0
0
16
8
8
8
8
8
0
0
0
0
12
16
16
16
16
16
16
8
8
8
24
16
0
4
4
4
4
4
4
4
4
4
24
2
2
2
2
2
4
8
24
24
8
16
24
4
16
16
16
16
16
16
16
16
16
16
0
0
8
8
8
8
8
8
8
8
8
12
4
12
4
4
8
0
0
8
8
8
1
8
1
4
4
2
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
2
16
16
16
16
4
4
1
1
1
8
8
4
4
4
0
0
0
0
2
0
0
0
0
4
12
4
4
4
0
0
0
8
0
0
8
0
0
2
0
32
8
8
0
8
8
8
36
8
0
8
8
0
0
0
0
0
0
0
0
12
16
16
8
16
8
8
8
60
60
5
16
32
2
2
2
2
2
2
2
8
8
8
8
24
16
8
8
8
8
8
8
1
1
2
3
2
2
1
1
3
1
1
1
1
1
8
8
8
8
8
8
0
8
8
8
8
0
0
0
16
16
4
4
4
8
8
0
0
16
16
16
0
0
0
0
8
8
24
8
8
8
8
8
0
0
4
16
2
8
8
52
2
2
2
2
2
2
6
2
2
0
32
8
2
2
8
8
8
0
0
16
1
8
32
32
32
8
8
8
4
0
0
0
16
8
24
24
16
16
8
8
8
8
16
16
16
2
4
1
1
1
1
1
1
1
0
0
4
0
0
1
24
24
8
8
1
3
3
2
8
16
8
8
8
8
12
12
2
48
32
16
16
16
16
16
16
16
16
0
8
8
8
8
8
0
8
10
34
16
16
24
0
0
0
2
2
2
30
14
2
2
2
12
8
8
8
8
8
1
2
2
2
0
8
0
16
16
16
16
16
8
8
8
8
8
8
1
1
16
16
4
32
32
32
32
8
8
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
2
2
0
8
8
8
16
16
8
8
8
4
4
12
8
2
2
9
2
2
2
8
8
16
0
0
0
2
2
2
2
57
24
1
16
8
8
0
10
4
8
2
2
16
8
0
0
0
8
8
8
16
16
16
16
12
8
8
8
8
8
8
16
8
8
8
8
0
0
0
0
2
2
4
4
4
16
16
16
16
16
8
8
8
8
4
16
16
16
52
52
52
52
16
16
8
8
8
8
2
2
2
2
2
4
4
4
16
2
2
8
16
8
8
8
8
8
8
0
0
1
1
1
1
4
1
1
1
1
1
4
8
8
8
16
48
48
16
32
4
0
0
57
2
2
0
16
4
4
2
2
2
0
1
1
16
1
10
16
16
16
0
0
0
8
8
8
8
8
8
32
8
0
1
8
8
4
0
0
6
6
24
8
8
8
8
8
0
16
16
16
16
16
16
16
4
16
16
4
16
16
16
16
16
16
16
0
8
8
8
8
8
8
0
0
8
4
1
1
1
1
1
16
16
16
16
16
8
8
0
24
8
8
0
0
8
8
8
8
4
4
0
16
16
4
0
4
12
16
0
16
16
16
16
4
16
2
16
2
2
1
16
0
16
8
4
2
4
24
0
16
0
2
2
8
4
0
0
8
8
16
8
8
8
16
16
0
3
3
8
24
16
16
8
8
8
8
4
4
0
0
0
8
24
24
16
8
26
0
0
16
16
16
16
16
16
16
8
32
8
8
8
8
8
8
8
8
18
8
32
32
32
16
32
32
1
1
0
2
2
2
8
8
4
4
4
4
12
12
8
8
8
4
4
4
4
4
4
0
1
1
1
0
0
0
16
2
24
0
8
16
0
13
13
13
4
16
8
8
16
0
0
0
0
8
32
9
8
8
8
0
0
16
0
1
1
1
1
8
16
54
8
0
0
8
4
4
4
16
16
8
32
28
28
28
8
16
16
4
4
4
4
4
4
4
4
8
32
32
32
48
16
16
16
0
0
8
8
16
16
16
16
16
7
2
10
8
8
0
16
8
8
8
0
8
16
16
8
24
4
4
4
4
10
1
8
8
8
41
41
16
16
16
16
16
16
16
16
16
16
16
16
16
4
4
4
16
16
16
0
4
4
4
0
0
0
0
0
0
0
0
8
8
8
8
8
0
0
2
0
0
8
8
8
8
16
16
16
16
16
16
16
24
24
24
8
16
32
8
8
8
8
4
16
16
16
1
8
0
16
16
8
8
8
8
2
30
28
8
16
8
8
8
22
22
22
22
1
1
22
22
8
40
8
8
1
1
0
0
8
2
2
2
2
2
8
8
8
8
16
16
16
12
12
8
1
1
1
1
1
1
34
32
0
0
8
4
0
0
8
8
8
8
8
8
8
8
8
0
0
0
0
1
16
22
16
16
0
0
4
2
0
1
3
1
8
0
8
16
4
16
0
8
8
8
16
8
12
12
12
1
16
8
8
8
32
32
32
32
32
8
8
8
32
32
32
32
32
32
1
4
4
8
4
8
8
24
24
24
16
16
16
0
0
0
0
0
0
0
0
0
0
3
3
8
8
16
8
16
16
16
4
4
4
4
8
4
4
4
4
1
8
8
8
36
36
44
16
16
8
16
0
0
17
25
0
0
8
8
8
8
10
16
16
16
16
16
24
8
8
8
8
8
8
0
0
2
2
16
0
8
8
8
1
0
0
1
2
4
2
8
2
8
1
1
8
8
8
4
4
0
28
0
0
0
32
0
0
0
0
0
0
8
8
8
28
16
0
4
16
16
24
2
2
8
8
8
8
16
16
16
0
0
1
1
0
4
12
4
8
8
16
16
4
4
4
1
1
1
8
8
8
8
16
16
20
20
0
0
4
20
0
0
0
16
8
16
36
36
36
36
36
1
1
0
0
16
8
8
8
24
8
8
8
4
8
12
8
24
24
8
16
0
0
8
8
8
8
8
8
0
8
8
0
8
0
48
0
0
0
8
8
16
16
16
0
0
0
0
0
2
4
4
4
1
1
1
1
8
3
3
3
3
5
8
4
5
1
16
16
0
4
0
0
16
16
16
16
8
8
32
8
8
24
1
2
2
4
0
0
0
57
57
16
16
4
24
16
16
16
16
16
8
8
8
8
8
8
8
8
16
1
0
0
16
16
16
0
0
8
32
32
32
32
2
48
8
8
24
8
8
8
8
8
24
24
24
24
24
24
8
4
4
4
8
8
16
8
8
16
1
1
8
24
0
12
4
1
4
8
16
16
56
56
56
56
32
32
17
17
17
8
8
8
8
8
8
8
8
8
0
8
8
8
8
0
0
0
4
4
2
4
0
4
2
2
8
8
2
14
14
14
14
0
4
8
4
4
4
4
0
8
8
8
8
8
0
0
0
0
0
0
0
49
49
8
2
24
24
8
8
8
8
32
32
32
32
32
32
12
12
12
24
24
8
8
16
57
24
2
2
2
0
1
8
8
8
8
32
16
24
8
8
4
4
4
2
4
4
4
1
1
1
1
1
2
16
16
0
0
0
0
0
0
0
4
4
4
4
0
25
25
25
25
16
16
2
2
32
32
32
32
16
16
16
16
16
16
32
8
4
4
4
4
1
1
0
2
8
10
0
0
16
16
16
16
8
8
16
16
16
16
16
16
16
4
4
4
4
4
0
0
8
16
24
8
8
8
8
8
17
17
4
4
4
17
32
2
2
2
8
8
0
0
8
8
0
0
0
34
34
4
4
4
4
2
2
2
0
0
8
0
0
0
0
12
33
33
8
8
8
4
8
8
8
8
8
16
16
16
8
16
16
8
8
20
16
16
8
0
8
8
8
0
0
2
16
8
1
16
8
2
2
0
0
4
4
4
0
0
1
0
0
8
8
8
8
1
1
1
8
8
8
8
8
0
0
0
0
0
0
0
0
0
20
20
20
20
4
16
16
20
16
16
16
16
20
0
2
2
2
0
1
8
0
0
1
1
1
16
16
16
16
8
16
16
8
4
0
0
8
8
10
41
8
8
4
8
8
8
0
0
2
8
8
0
8
8
8
0
0
0
0
0
8
0
16
8
8
8
8
8
8
16
20
16
16
16
16
16
16
16
16
16
16
8
8
8
8
8
8
0
16
0
16
8
8
16
8
16
16
1
1
1
1
16
8
8
0
0
8
8
8
8
8
0
16
16
16
8
8
8
0
0
0
8
8
8
1
1
0
22
22
8
8
8
32
32
32
1
8
8
24
16
16
0
4
16
16
16
0
0
0
0
0
4
4
4
4
9
0
0
0
16
16
4
4
4
11
8
8
16
16
16
16
16
16
16
16
16
16
16
16
32
0
2
2
2
2
2
2
1
24
24
16
1
1
1
1
1
1
1
1
0
4
4
12
4
4
0
0
0
0
4
8
8
8
8
4
4
4
1
1
1
1
0
0
0
16
16
16
16
0
16
16
4
2
4
0
0
1
2
2
2
8
8
1
1
1
1
1
1
1
1
8
8
8
8
4
4
8
8
0
24
8
4
4
32
32
32
32
32
32
32
4
4
4
2
2
2
4
4
8
8
0
9
16
16
8
8
8
8
1
16
16
9
4
12
12
8
12
1
0
12
8
32
8
8
8
2
2
2
8
8
8
8
8
8
8
8
32
32
9
9
8
8
8
1
1
0
0
0
0
8
1
1
1
1
0
1
1
17
1
1
0
0
0
8
8
8
8
8
8
9
9
9
24
8
0
0
0
16
0
2
2
2
17
24
24
0
0
8
0
0
0
0
0
2
16
1
8
8
8
8
8
16
8
8
8
0
8
48
8
4
4
1
0
8
8
8
32
16
16
16
8
0
0
0
5
24
24
24
16
8
16
16
0
0
8
8
1
16
16
16
32
32
32
32
56
40
0
2
2
8
8
8
8
8
16
16
16
33
24
12
8
16
16
16
16
16
8
8
8
0
16
16
4
4
4
4
4
4
8
8
1
16
16
0
0
0
0
8
8
24
8
1
1
18
1
1
24
24
0
2
34
21
0
0
16
16
8
8
8
8
8
16
16
16
16
0
0
0
0
0
0
8
8
0
0
8
8
8
8
0
0
1
8
16
8
22
8
8
4
24
24
16
16
16
18
18
18
0
0
8
8
0
24
24
0
0
8
8
8
8
0
12
12
9
8
16
16
0
4
8
8
8
0
0
0
0
16
16
8
12
8
8
0
0
4
4
4
4
4
4
1
8
8
8
8
8
8
24
8
8
8
8
0
1
1
16
0
4
4
1
1
16
8
4
4
16
16
16
1
1
0
0
1
16
8
8
8
2
2
8
8
8
8
8
1
1
13
13
13
0
16
16
16
16
4
0
16
0
0
16
16
8
1
16
8
2
1
1
8
8
8
8
8
16
16
16
16
16
1
4
8
8
8
8
8
8
8
0
1
8
32
32
16
16
8
8
16
16
16
16
16
16
16
24
24
0
0
2
8
8
0
8
8
12
8
8
8
4
4
8
1
8
8
8
8
0
8
8
8
8
8
8
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
27
1
0
0
0
8
8
8
8
0
0
0
1
6
6
2
2
2
2
8
8
8
32
1
1
8
12
8
0
0
4
4
4
0
0
8
8
8
8
8
4
4
1
1
1
1
1
1
1
1
16
16
4
4
8
8
4
24
16
16
16
16
16
8
10
0
6
6
4
4
0
16
16
9
9
9
9
0
0
16
8
2
1
1
1
1
1
1
1
1
1
1
24
8
8
1
1
32
32
2
2
2
24
8
0
0
8
8
0
4
8
4
2
2
16
16
16
4
4
0
0
16
0
16
16
16
1
8
16
2
2
0
16
18
2
16
0
16
1
16
16
16
8
21
21
0
0
0
8
8
8
0
8
8
8
8
8
8
8
4
32
32
32
32
8
16
16
16
1
1
0
16
16
16
16
0
0
16
16
8
8
1
1
8
8
24
16
8
24
24
24
24
16
4
20
4
8
8
8
8
0
24
4
8
8
8
8
8
8
8
8
8
1
3
1
1
1
0
0
0
0
24
8
8
1
1
32
0
21
21
0
0
0
16
16
16
16
16
16
16
16
16
16
16
16
0
8
8
32
24
8
16
0
16
17
16
16
4
2
2
2
2
2
2
24
9
1
2
2
8
8
8
0
4
8
8
8
8
8
8
8
8
0
8
8
19
19
1
40
0
8
0
0
8
0
8
8
2
2
4
12
8
0
10
16
0
0
0
0
8
8
8
8
24
24
8
8
4
8
8
8
8
8
8
8
8
17
8
8
11
3
24
16
0
8
16
16
16
0
20
8
8
8
8
8
4
16
16
0
0
2
2
8
16
8
16
4
4
4
4
4
24
24
24
24
16
8
24
16
2
2
2
2
16
16
16
16
8
2
2
2
8
8
8
8
8
8
8
8
8
8
8
16
0
0
0
0
8
8
16
16
16
16
8
0
24
24
4
8
8
2
2
2
2
4
4
4
36
12
8
16
16
16
8
8
8
8
8
8
8
8
0
0
0
8
8
8
4
0
4
8
8
8
8
0
0
0
8
8
2
2
2
8
8
8
40
40
40
40
40
1
9
1
8
4
24
24
24
8
0
8
1
8
8
8
0
2
2
2
2
8
0
24
24
0
16
8
8
2
0
8
8
8
8
0
8
8
2
2
0
8
8
8
8
16
16
16
8
8
32
0
0
2
16
2
16
16
16
16
8
8
8
8
8
8
8
4
4
4
4
4
4
0
8
0
1
1
48
48
8
8
0
24
4
4
4
4
4
0
16
16
16
16
16
16
16
8
8
0
0
0
0
2
16
1
1
1
1
1
24
24
24
24
24
24
8
8
8
0
16
16
16
0
0
4
4
4
0
0
24
24
4
0
8
8
16
16
2
2
2
2
2
40
8
4
4
1
1
0
16
16
8
8
0
16
22
18
18
0
0
0
0
24
24
2
2
16
16
16
16
16
16
16
16
16
16
34
34
8
8
8
24
0
0
0
0
8
2
3
2
2
6
0
18
18
8
8
16
16
16
2
2
16
17
4
1
16
16
16
16
0
10
2
2
8
8
8
8
8
8
2
8
8
8
8
0
0
8
4
6
0
18
18
18
16
0
8
25
8
8
8
8
8
8
8
8
8
0
16
16
16
8
0
4
4
16
8
8
8
0
0
0
60
8
60
24
0
0
20
48
0
0
0
8
4
2
24
16
16
8
4
8
8
8
8
8
6
4
4
4
4
20
0
4
4
8
8
0
8
0
0
0
32
0
8
8
8
8
2
2
16
16
4
20
8
37
37
0
0
0
1
8
8
8
8
8
4
0
17
0
4
4
4
0
0
20
4
4
4
4
8
8
8
8
8
3
3
3
0
0
0
52
52
24
24
3
8
11
11
12
32
44
24
24
8
8
8
1
3
3
13
13
13
16
16
16
32
40
24
0
0
8
16
8
8
8
8
8
23
2
16
2
2
16
8
8
8
16
16
8
16
16
16
8
8
4
4
4
16
4
4
8
8
4
4
4
16
0
2
19
16
1
0
1
16
0
3
1
1
0
8
8
8
32
16
8
4
4
4
4
8
6
6
6
6
6
11
2
2
2
2
2
2
2
2
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
4
4
9
4
0
0
8
8
8
4
32
32
16
8
8
0
0
16
8
2
16
0
0
8
8
4
8
8
0
0
16
16
0
0
4
0
0
0
8
8
0
0
24
16
16
16
16
16
16
48
0
0
8
8
1
1
1
1
1
1
24
56
0
0
0
0
16
16
16
16
16
16
16
8
8
24
16
16
16
16
16
16
16
0
0
0
0
8
16
0
1
27
2
4
0
16
16
16
16
16
16
16
16
0
0
0
16
2
16
16
8
10
8
8
8
8
24
24
24
8
0
8
8
8
8
16
8
8
8
16
16
16
8
2
32
30
14
14
14
8
16
16
16
16
8
8
8
8
8
8
8
8
8
8
8
0
0
0
0
24
12
12
12
8
8
8
16
18
16
0
8
2
2
2
2
2
2
8
8
32
32
32
32
26
16
16
16
16
16
29
20
16
16
20
8
8
20
16
32
0
16
16
16
16
8
0
0
8
1
16
3
3
3
3
8
8
8
8
8
8
8
8
8
1
3
2
16
1
32
24
16
16
2
2
2
16
4
4
2
2
2
16
16
16
8
0
0
0
28
28
0
0
16
8
56
8
16
0
16
0
0
8
8
8
8
16
16
16
28
28
28
28
28
8
16
16
16
16
1
1
1
0
0
17
16
16
8
1
1
0
4
4
8
8
16
8
8
8
8
8
1
3
8
32
8
8
8
8
8
8
0
0
4
4
4
4
4
4
4
4
4
4
4
0
0
34
34
16
17
17
8
8
16
0
0
0
2
2
2
2
2
2
0
8
8
0
0
0
0
8
8
8
2
0
8
8
8
9
0
8
8
12
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
4
4
8
8
16
16
16
0
0
24
16
16
16
16
0
0
0
18
18
0
0
0
24
48
48
0
8
8
32
8
8
8
8
8
1
8
8
8
8
8
8
8
16
16
0
0
8
8
8
8
8
2
4
8
0
10
2
8
8
8
8
4
4
4
4
16
16
16
16
36
16
16
16
24
24
24
0
16
16
0
0
0
16
28
8
8
8
16
24
24
16
4
4
0
0
0
0
0
16
16
8
8
8
8
8
8
8
8
16
20
16
16
16
16
16
16
24
24
16
16
16
16
8
4
0
8
0
0
1
8
16
16
16
16
8
8
8
16
8
8
8
57
0
1
1
1
1
12
12
12
12
1
1
1
8
8
8
0
0
0
8
8
28
8
16
16
16
2
18
2
0
0
24
8
8
16
16
16
0
16
16
8
8
0
16
0
8
8
8
8
0
0
0
0
16
16
16
8
8
0
8
32
32
32
8
8
24
24
24
0
8
8
0
0
8
8
8
1
1
1
1
4
10
16
16
17
0
8
8
8
8
8
8
8
8
8
8
0
0
0
8
8
4
4
4
4
4
0
16
24
0
16
24
8
4
16
4
4
2
2
2
2
2
2
2
8
8
8
16
16
41
41
0
0
27
0
0
8
8
8
8
0
18
19
18
18
8
4
4
16
0
0
0
8
8
4
4
0
8
8
8
16
16
16
16
16
16
16
16
2
18
16
1
1
1
0
0
0
1
1
1
1
1
8
8
8
8
32
20
20
0
1
16
52
8
8
0
8
0
8
8
8
12
4
16
2
2
2
4
4
4
0
0
28
16
0
0
0
0
0
4
4
4
1
1
1
1
1
1
8
8
8
8
0
16
16
32
1
1
1
1
1
1
0
0
0
8
16
8
8
8
8
8
8
13
13
0
16
16
16
0
8
8
8
24
8
8
60
60
1
1
1
1
1
1
1
1
1
1
4
4
12
12
12
17
17
17
17
17
21
5
5
16
16
4
4
4
4
4
4
4
4
4
8
16
16
16
8
8
0
32
32
32
32
32
32
8
24
12
8
0
0
0
8
0
0
0
16
4
1
1
1
1
1
16
16
16
16
0
4
8
8
8
4
16
8
2
2
2
2
2
8
8
0
16
16
16
16
32
48
48
48
1
8
1
1
1
8
1
1
8
0
1
24
2
2
4
8
8
32
4
32
0
16
16
16
16
16
10
4
4
4
4
4
8
16
16
16
16
16
16
8
24
8
12
8
8
8
12
4
4
4
24
16
8
8
0
0
0
0
8
8
0
0
0
0
0
8
8
16
0
0
33
33
32
32
32
32
32
8
8
32
32
0
32
32
32
32
32
32
36
32
32
32
32
32
32
32
6
6
6
18
18
0
0
8
8
8
8
32
3
2
2
4
4
4
10
10
8
32
12
8
40
40
4
16
16
0
0
6
6
8
48
48
48
16
4
16
16
16
16
16
16
16
0
16
0
8
8
8
8
0
8
32
32
32
32
32
32
32
0
16
16
24
16
16
0
0
16
16
16
16
16
32
2
2
4
8
8
16
16
8
8
0
2
2
8
8
8
8
8
24
8
8
32
48
0
0
32
16
16
16
0
0
32
32
16
16
16
4
16
16
24
16
8
8
8
8
24
16
0
0
25
16
16
10
8
8
12
4
2
16
8
8
8
8
8
16
16
4
4
1
1
34
34
1
1
1
0
1
0
16
16
8
1
2
16
0
0
32
32
0
0
8
8
8
8
8
16
32
16
0
0
8
8
16
2
8
8
8
8
0
16
16
4
12
12
12
8
8
8
8
8
21
21
16
16
16
16
16
16
4
0
1
1
17
16
8
8
8
8
8
8
8
16
16
16
16
24
16
8
8
8
0
0
0
8
8
8
8
16
8
16
10
10
10
8
8
1
0
24
8
8
8
8
28
4
4
49
8
8
8
32
32
32
32
32
19
19
3
7
41
1
8
8
8
8
16
16
16
32
8
8
8
8
16
0
0
16
16
16
16
2
2
0
0
0
0
16
16
16
16
16
16
16
0
0
0
4
28
8
0
50
2
4
4
2
16
16
24
8
8
8
0
0
4
4
4
4
4
4
4
4
4
4
4
2
16
0
32
32
32
32
4
4
4
8
8
8
8
4
4
8
8
8
8
0
0
0
4
0
16
2
0
8
8
8
1
1
1
1
0
16
4
4
4
4
4
4
8
8
8
8
8
8
8
24
8
8
28
28
24
0
16
8
8
0
16
8
8
8
8
3
8
20
28
0
0
8
16
8
0
16
24
16
0
0
0
0
0
8
16
24
32
0
8
8
8
16
16
16
16
8
16
2
8
8
16
16
8
1
1
1
1
0
0
28
16
0
6
4
2
6
8
8
8
2
32
32
32
0
9
9
2
2
2
2
2
0
2
6
4
0
16
16
16
16
16
16
16
16
16
0
2
2
0
0
16
0
8
8
18
16
16
16
0
4
8
4
0
0
0
4
8
8
0
0
0
8
8
8
8
24
1
1
0
0
12
9
9
16
16
4
4
16
16
8
8
0
16
16
0
0
0
1
1
1
0
0
0
0
0
16
16
8
2
16
16
3
8
0
4
4
8
4
4
4
4
8
16
24
24
24
4
20
38
38
38
0
0
16
2
32
8
8
8
8
8
8
8
8
8
9
9
1
4
4
16
8
8
8
8
8
8
0
8
8
8
16
16
4
16
16
16
0
0
0
0
4
16
8
8
8
0
0
0
8
8
8
0
32
32
49
32
1
8
8
8
0
0
16
4
0
0
16
8
16
16
4
4
0
0
32
0
0
0
0
16
16
16
16
0
0
8
16
16
16
16
16
16
16
16
16
8
16
24
2
2
2
2
24
0
4
4
4
4
4
8
8
8
16
32
1
32
16
16
0
49
16
16
8
8
8
8
8
8
8
8
8
8
8
8
8
1
1
0
16
16
16
16
0
25
25
16
8
8
8
8
8
8
8
8
8
8
8
8
16
8
8
2
2
2
0
0
0
32
32
0
5
5
5
5
5
8
12
8
8
10
8
16
16
4
0
16
16
16
16
16
16
16
7
15
8
0
0
0
0
16
16
16
24
16
24
16
0
0
0
1
1
1
24
24
2
2
1
1
1
16
1
4
1
1
17
16
16
0
16
0
0
0
4
0
8
8
8
12
0
8
8
8
8
8
8
8
4
2
0
8
8
8
8
8
4
4
4
8
16
16
0
0
8
8
8
8
8
8
8
8
8
8
16
16
16
0
8
8
8
0
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
0
8
8
8
0
48
48
48
24
0
12
4
8
2
2
2
3
8
16
40
8
0
0
0
16
16
16
0
1
1
16
1
16
16
16
16
16
16
32
32
16
4
4
6
4
8
8
16
16
6
6
6
6
2
2
42
2
2
16
18
18
0
4
4
4
4
4
0
12
24
8
24
0
8
16
41
16
16
16
16
16
16
16
21
8
8
8
8
0
2
0
24
24
8
8
8
2
3
2
2
2
16
16
16
16
0
8
8
8
8
16
0
0
0
8
8
16
8
8
8
8
1
1
1
1
1
1
1
16
16
16
6
0
4
4
16
16
4
0
8
8
0
8
16
16
24
16
16
16
16
16
8
8
16
16
32
16
16
1
16
16
16
16
16
8
1
16
16
16
16
16
8
0
8
0
16
16
16
16
16
8
24
8
8
8
16
16
16
16
16
16
16
20
16
2
2
2
24
24
24
25
16
25
1
16
16
16
0
24
26
24
56
16
8
8
8
16
16
12
2
2
16
0
29
29
32
8
8
8
8
8
8
8
16
0
32
32
32
16
16
4
38
16
1
1
0
0
0
8
8
8
0
0
16
16
1
4
4
0
16
16
16
16
16
0
0
2
2
2
2
2
11
8
4
8
8
0
0
16
32
32
0
0
0
12
8
8
8
8
8
1
4
33
16
8
8
8
0
0
0
0
32
32
32
32
32
32
8
32
16
16
8
16
24
8
8
8
8
8
8
8
8
24
24
0
16
16
16
8
8
0
24
8
28
4
4
4
4
0
16
16
16
16
8
37
8
8
0
8
8
0
16
16
16
16
16
4
20
20
20
16
16
16
16
16
16
16
8
8
0
16
16
1
32
20
52
52
16
8
8
8
8
8
8
8
4
4
4
0
0
8
16
24
16
16
16
34
34
0
8
8
8
8
2
8
8
16
0
16
16
16
48
0
16
16
16
16
1
2
1
8
1
16
16
16
1
0
8
8
24
16
16
24
0
4
8
8
24
24
24
24
24
24
4
4
26
16
0
0
0
16
16
16
0
0
8
12
17
16
28
28
16
16
16
24
0
0
0
0
8
4
16
1
1
1
1
1
1
1
8
8
4
0
16
10
8
8
25
8
8
8
9
8
8
8
8
8
8
16
0
16
1
1
8
8
0
0
0
8
8
16
16
2
2
16
4
16
24
24
24
24
8
8
8
8
8
8
8
8
16
16
16
16
2
2
2
8
32
16
16
36
8
8
0
16
16
4
4
4
4
4
1
8
8
8
8
8
8
8
0
16
8
8
8
8
8
16
8
8
56
0
16
16
16
16
4
16
8
8
16
0
0
4
4
4
0
0
8
8
0
60
0
2
24
16
16
16
16
8
4
4
8
8
0
3
3
3
8
8
0
8
24
8
4
8
0
1
1
16
16
0
0
0
0
0
0
8
8
32
4
4
8
8
1
1
1
8
16
16
12
8
4
8
24
24
6
8
14
0
0
0
8
0
16
24
0
20
0
16
8
8
8
8
1
1
9
8
16
16
0
16
16
16
16
16
0
0
0
12
8
8
8
4
32
28
8
8
16
16
0
8
8
8
8
8
8
0
8
8
8
8
8
8
8
8
8
8
8
16
16
8
8
0
0
0
0
0
0
2
16
8
8
8
16
16
16
16
0
4
8
8
0
0
1
8
16
16
0
16
16
4
4
4
4
0
1
1
1
2
2
2
16
10
10
8
2
2
2
8
2
16
24
16
16
16
8
2
2
2
2
0
2
8
16
16
16
16
16
16
8
38
16
54
8
8
8
8
8
8
8
8
8
8
16
16
16
16
16
16
32
48
16
4
0
8
8
8
8
0
2
2
8
0
8
8
8
39
39
0
16
8
8
8
8
8
8
16
16
16
16
16
16
16
16
4
4
0
16
16
16
0
16
2
2
2
0
8
8
8
8
0
8
4
8
16
16
16
0
4
4
4
4
8
40
40
40
40
0
0
0
16
8
22
22
1
1
1
1
1
1
4
0
0
8
8
8
16
16
16
16
16
16
8
8
8
8
8
4
4
4
2
2
2
2
16
16
16
20
8
8
4
4
16
32
4
1
1
8
8
8
8
8
8
8
8
8
8
2
2
2
4
20
0
8
16
16
1
8
8
8
8
8
8
8
0
0
8
40
4
4
8
8
8
8
8
8
8
8
16
16
16
16
0
0
8
8
52
24
8
8
8
8
8
32
8
8
8
24
24
24
16
8
16
17
1
1
1
8
2
2
4
4
4
1
8
9
0
0
0
16
0
8
8
8
16
16
16
0
8
4
28
4
4
4
8
8
8
0
8
8
8
0
16
4
27
8
8
4
4
4
4
4
4
4
4
4
4
4
4
4
1
1
1
1
4
4
16
20
16
24
8
8
8
0
8
8
8
8
8
8
8
8
4
4
0
0
0
24
24
24
40
16
8
8
8
16
8
0
16
0
0
40
0
0
32
32
8
20
1
16
16
28
22
4
4
16
8
16
16
16
32
32
32
4
8
16
0
2
2
2
2
2
1
1
8
8
8
0
0
8
8
8
53
8
0
0
40
32
4
4
4
4
16
0
0
0
4
8
4
4
4
0
0
0
16
28
4
4
0
8
8
8
16
8
0
16
16
16
16
18
18
18
8
8
27
0
0
56
8
16
16
16
8
8
8
24
16
16
4
4
4
0
0
0
0
0
0
0
4
4
4
8
8
6
6
6
32
32
0
0
0
0
8
24
8
8
0
8
8
8
16
16
4
4
4
0
0
0
0
24
24
24
24
24
24
4
4
16
8
8
8
4
4
0
4
12
12
0
0
16
16
16
0
0
0
0
8
8
8
4
0
1
8
24
4
8
12
12
28
4
4
17
17
17
16
16
16
8
8
8
0
1
16
32
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
44
32
0
2
2
2
17
17
4
4
4
8
1
1
1
1
8
0
0
8
8
2
8
8
16
4
4
4
4
1
1
16
16
0
0
16
4
4
20
4
4
3
8
2
2
2
2
2
2
24
8
8
8
8
8
8
0
1
32
32
32
0
0
32
8
8
8
8
8
33
16
8
8
1
0
0
0
0
16
48
2
2
2
8
8
8
24
6
6
6
20
20
20
20
20
4
12
0
4
4
2
2
2
1
1
8
19
1
1
0
8
8
8
4
4
4
34
0
24
8
8
8
0
8
8
8
8
16
16
16
16
8
1
1
1
1
1
4
2
2
2
2
2
24
16
8
8
8
0
2
2
2
24
16
24
16
16
16
1
0
28
8
16
16
16
8
1
1
1
16
8
10
10
10
8
16
16
0
0
16
16
16
20
16
0
4
4
10
0
0
0
4
4
4
4
4
4
4
8
8
8
8
2
2
8
8
8
8
8
4
8
17
16
20
4
4
8
8
8
8
8
8
4
4
32
1
1
1
9
8
16
16
16
8
8
8
0
0
0
0
8
8
8
8
8
8
16
16
8
24
8
8
8
2
2
2
0
16
4
20
8
20
0
4
16
4
20
20
20
20
20
41
41
41
41
48
1
1
1
0
0
0
0
8
8
32
24
16
0
24
24
8
0
16
2
2
2
2
8
8
8
8
16
16
16
8
8
8
4
24
16
8
8
8
8
8
8
8
8
8
8
8
8
8
4
4
4
4
4
0
2
2
2
0
0
0
0
2
2
2
2
4
4
26
48
0
0
0
16
16
0
0
8
8
8
8
8
16
16
16
8
8
8
4
4
4
4
4
4
4
4
0
0
60
8
8
1
1
8
8
8
0
0
2
1
2
2
16
32
32
32
0
10
10
10
0
8
16
1
8
18
18
18
18
16
16
16
16
29
2
1
1
1
1
1
16
16
16
8
8
8
8
0
0
8
28
12
12
0
8
0
0
0
4
4
4
4
4
4
16
8
8
8
8
16
8
5
1
1
1
0
25
25
25
25
1
1
1
1
0
0
8
8
0
12
4
8
16
0
1
1
8
8
8
8
0
16
16
16
16
8
2
8
2
2
16
0
24
1
1
1
1
1
16
16
0
0
0
28
28
8
8
0
8
8
8
8
8
8
24
24
0
16
18
18
18
8
12
24
8
8
8
32
32
56
56
24
8
8
0
0
0
0
16
16
8
1
1
1
1
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
10
8
0
16
16
4
4
12
4
1
0
8
0
16
8
42
8
8
16
0
0
16
4
4
4
4
4
4
8
8
8
8
8
8
0
1
8
9
8
8
16
16
16
16
16
16
16
16
16
8
8
8
0
0
8
4
32
32
1
1
2
6
6
6
4
4
4
4
8
8
8
42
2
2
16
16
0
8
32
32
4
16
4
16
16
16
0
0
8
8
8
16
16
16
24
16
1
1
0
8
8
8
24
8
8
8
0
0
4
3
8
0
0
8
8
8
8
20
2
22
22
8
8
8
8
4
4
8
12
0
0
0
1
1
1
0
8
8
8
8
8
16
16
16
8
32
8
12
0
8
8
8
0
0
16
21
24
10
8
8
0
0
0
16
17
24
8
24
16
8
8
8
8
8
4
6
0
2
2
2
2
2
0
8
8
8
8
8
8
1
1
8
8
8
8
8
16
16
16
16
16
16
1
1
1
4
8
8
0
8
24
8
8
8
8
1
1
0
4
8
8
12
8
0
16
16
0
1
1
1
1
1
1
8
8
8
8
8
4
16
4
24
24
8
40
8
8
1
1
8
9
8
9
16
16
8
12
8
8
16
16
16
16
24
0
40
0
0
1
0
4
16
8
24
16
6
16
16
40
29
12
8
62
8
8
16
8
8
8
8
8
8
8
8
8
16
16
16
16
8
8
8
4
4
4
4
0
0
22
22
22
22
25
16
16
16
16
16
16
8
8
40
40
8
16
0
4
4
8
8
8
8
8
8
8
16
24
16
32
32
16
16
16
16
16
4
4
4
8
0
0
8
1
2
8
4
4
4
4
4
4
4
1
1
16
0
0
0
16
16
16
16
8
16
16
24
24
16
16
16
16
16
16
16
4
4
2
2
2
8
8
8
8
8
8
8
8
8
16
48
16
8
32
32
24
8
4
8
8
8
8
8
8
0
2
2
2
2
24
8
8
8
24
32
16
16
16
24
24
24
4
4
4
4
4
16
16
16
28
16
16
16
8
0
8
8
8
8
8
16
8
12
16
8
8
8
1
1
4
2
18
18
0
32
32
32
32
2
2
2
2
0
2
2
0
8
16
16
16
16
8
24
24
16
8
8
16
8
16
8
8
0
16
8
8
8
0
20
4
8
8
8
8
8
8
8
8
8
8
8
8
1
33
8
8
8
8
22
0
0
8
8
8
8
0
8
32
32
32
32
32
32
32
16
16
16
16
1
1
1
1
1
17
8
24
2
0
0
0
3
24
8
8
16
16
16
16
0
0
0
8
1
16
16
16
16
16
8
8
8
8
24
20
8
8
8
8
8
0
0
8
9
1
8
9
0
8
8
8
8
6
6
6
6
16
16
8
8
8
8
16
16
0
9
8
8
0
0
8
8
8
8
16
16
16
16
16
16
16
16
16
16
0
8
8
8
8
8
4
16
16
16
1
17
16
16
16
0
16
16
16
8
8
8
8
8
8
16
0
0
4
4
4
4
4
4
32
8
8
8
16
16
16
24
16
4
4
6
6
0
0
0
0
24
24
24
24
24
0
0
0
0
8
8
1
1
1
8
8
8
8
8
8
16
16
16
4
4
8
8
2
4
12
4
4
4
4
4
8
4
20
0
0
0
0
0
8
16
24
4
4
0
0
16
8
8
8
17
16
16
16
16
8
8
24
16
16
16
16
16
16
16
8
8
8
16
16
16
16
8
24
16
8
24
16
16
0
0
0
2
2
16
16
4
4
4
2
2
2
2
2
8
2
2
8
16
0
0
8
8
16
16
28
28
8
8
8
4
4
8
8
8
8
17
2
2
2
2
0
0
4
8
0
0
0
4
8
8
6
6
6
4
4
0
32
32
8
28
28
28
8
3
3
16
16
16
16
16
0
16
0
0
0
1
1
1
1
1
1
1
1
1
0
4
0
8
8
8
17
17
4
0
0
1
8
8
24
24
8
8
0
2
2
2
2
2
2
2
1
16
8
0
0
0
16
17
17
16
4
4
4
0
24
9
9
8
8
0
0
0
0
0
16
16
16
4
4
4
12
4
0
8
8
8
8
8
8
8
8
8
8
52
52
32
40
32
32
32
32
32
8
0
16
8
16
16
16
1
1
1
8
8
8
1
1
1
1
4
4
4
0
17
16
8
8
8
0
0
0
16
16
16
8
1
3
1
2
16
0
1
1
1
1
1
1
2
2
0
8
8
1
0
4
0
5
5
0
0
0
8
8
8
8
20
4
8
24
8
20
2
8
8
4
8
8
8
0
8
8
8
8
10
4
4
8
0
0
16
16
16
0
2
2
18
2
2
2
4
4
8
16
1
1
0
0
0
0
0
0
8
8
8
8
8
1
1
0
0
0
0
32
16
8
24
4
1
8
8
8
1
1
0
16
4
12
8
8
8
8
8
8
12
12
32
8
8
8
8
8
8
8
16
4
12
4
16
8
16
16
16
16
16
16
8
4
4
4
4
4
0
16
20
16
16
4
18
2
8
16
16
16
8
24
0
8
8
2
2
2
18
8
8
24
16
8
8
8
8
8
0
16
16
16
16
16
0
4
4
8
8
8
32
32
32
32
8
8
16
16
16
0
56
48
16
16
1
1
1
1
2
2
2
0
0
0
0
16
16
16
0
16
8
8
8
32
32
32
1
1
16
16
16
16
8
8
8
0
32
32
16
16
2
8
8
0
8
8
0
1
1
1
1
1
0
0
8
8
8
8
1
1
4
8
8
8
8
8
0
0
8
8
8
8
1
1
16
24
0
0
8
8
8
8
8
8
8
8
8
24
8
2
20
20
16
16
0
0
8
8
8
8
8
8
8
8
24
8
0
0
0
0
0
0
4
1
1
0
0
16
1
16
8
8
8
24
24
1
4
4
4
4
16
16
16
8
8
8
8
8
8
8
16
8
8
16
16
8
8
0
0
0
16
1
1
24
24
8
8
16
16
16
0
0
40
40
6
6
6
6
6
8
8
8
0
0
8
0
8
8
8
12
8
8
8
4
4
0
16
16
8
8
16
4
4
4
0
8
1
1
1
1
1
1
1
0
50
50
50
4
16
16
16
16
0
4
4
16
0
0
4
8
8
8
8
8
8
8
8
8
8
0
8
8
8
40
8
8
8
0
2
18
4
17
17
8
24
24
24
24
8
8
8
8
8
44
16
16
16
16
16
16
16
16
8
0
4
28
8
8
8
8
8
12
8
8
2
0
16
16
4
4
18
18
2
16
8
0
8
24
8
8
8
8
16
16
16
8
8
8
8
8
4
4
16
16
0
0
8
8
16
16
16
4
1
5
2
0
0
0
0
8
8
8
16
8
8
8
8
8
24
24
16
0
0
0
16
24
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
8
8
8
0
0
0
0
0
0
8
16
16
16
16
16
16
16
2
2
2
16
2
16
16
8
8
8
32
32
16
16
16
28
18
20
20
20
0
24
24
8
38
4
4
4
4
4
4
4
4
4
4
16
2
8
26
4
0
0
16
11
11
8
16
0
0
8
2
8
8
8
8
8
8
0
16
16
16
16
2
2
2
2
2
0
0
8
32
32
36
24
8
24
24
24
24
8
8
0
8
4
4
4
4
4
4
4
4
4
0
16
16
16
16
9
16
16
16
9
9
9
24
24
24
4
4
16
0
16
16
16
16
32
32
16
8
32
2
1
1
5
5
20
16
16
16
17
31
17
17
16
0
16
16
16
16
16
16
8
8
8
8
12
8
8
8
8
2
2
2
0
4
1
1
1
1
1
1
2
2
8
8
0
0
0
16
16
16
16
16
4
4
16
8
16
16
16
16
8
24
24
24
24
8
8
0
0
0
0
8
8
8
24
24
8
8
8
8
8
0
0
24
1
1
16
16
16
1
8
0
16
16
4
4
4
4
8
16
6
6
4
16
16
8
8
8
10
10
10
10
10
10
2
0
0
0
8
4
4
4
4
16
16
21
21
8
16
16
16
32
56
16
16
16
8
8
16
16
16
5
0
0
16
16
4
4
4
8
1
1
0
8
1
9
0
1
1
1
1
1
0
4
4
4
8
8
16
8
24
24
8
8
24
1
1
1
16
12
12
12
4
8
8
8
0
2
2
2
2
2
16
16
16
16
16
16
0
8
8
12
12
16
16
16
8
8
4
16
16
16
0
1
1
16
16
42
42
0
8
0
17
17
0
0
8
16
16
24
16
16
16
0
24
24
4
4
4
43
1
12
24
24
24
8
4
4
20
16
4
4
0
0
1
24
24
24
24
24
24
3
8
16
16
16
16
0
1
21
1
8
0
0
0
0
16
16
16
2
2
4
4
0
4
4
4
8
8
24
10
0
0
8
24
8
8
16
16
16
16
8
16
16
16
16
8
8
8
1
1
1
1
1
1
32
1
1
1
1
4
4
4
4
4
4
4
0
16
8
40
40
40
8
8
8
8
8
8
16
16
8
16
16
16
0
0
16
16
32
16
16
1
1
2
2
2
2
8
8
8
8
4
2
4
6
4
2
2
2
2
2
2
16
0
0
8
16
16
16
1
1
8
8
8
8
8
8
17
1
20
20
16
4
8
8
8
8
8
8
16
16
2
32
32
32
8
8
8
8
8
0
16
20
20
8
8
8
16
8
17
1
16
8
16
16
16
0
0
0
37
33
4
37
8
8
8
8
8
0
4
4
4
4
8
1
8
8
8
16
8
8
8
20
16
16
16
16
16
8
8
8
8
8
32
32
8
8
8
16
8
4
0
6
6
6
32
36
36
16
4
8
22
16
0
16
16
16
16
0
0
20
8
8
8
8
4
4
4
32
32
32
32
8
16
0
8
8
8
16
4
2
2
2
2
2
2
8
16
4
20
4
0
1
1
17
4
0
16
16
16
24
16
12
12
8
16
16
16
0
8
24
16
8
24
16
2
8
8
8
0
0
16
16
16
16
1
8
8
4
52
1
16
16
16
16
16
16
16
1
1
60
16
16
8
16
24
16
16
16
16
16
8
24
8
8
8
1
0
8
8
8
8
8
8
9
16
10
1
16
8
16
8
16
16
0
0
24
16
16
0
0
0
1
1
24
40
2
10
10
24
16
8
32
32
4
0
8
8
0
32
8
0
16
16
0
8
8
16
16
16
8
2
16
16
16
4
4
4
8
0
0
8
8
8
8
8
0
8
8
0
8
16
1
1
8
0
0
0
16
24
24
0
1
5
16
16
4
0
0
1
1
1
0
4
1
1
1
0
8
8
8
0
8
4
4
4
4
8
16
16
4
12
1
16
16
16
16
16
0
0
0
0
8
9
2
2
0
4
8
8
16
24
8
8
0
16
16
16
16
8
4
4
24
8
8
8
24
16
20
20
21
5
16
0
4
4
4
4
18
18
8
0
0
24
24
24
24
8
8
8
8
8
8
8
28
8
4
0
0
1
1
1
8
0
0
0
0
0
0
0
8
8
8
2
8
8
8
8
8
32
32
0
0
8
32
32
40
0
0
0
24
24
24
4
0
0
0
16
8
8
16
8
0
0
1
8
8
12
12
8
16
16
1
16
0
0
16
60
44
40
16
4
4
4
16
16
2
8
8
8
8
8
0
0
1
0
2
0
0
0
22
22
18
18
16
16
0
0
0
20
20
20
8
8
1
1
1
0
0
0
0
9
9
8
8
8
8
4
4
4
4
0
16
16
8
16
16
16
32
0
0
0
0
8
8
16
16
16
8
2
22
0
16
16
4
4
1
1
1
1
1
1
8
8
0
0
0
0
0
0
20
0
16
16
16
0
0
0
16
16
16
16
16
12
27
0
0
8
12
12
12
1
1
0
7
7
8
0
0
8
8
8
8
8
36
16
1
1
0
24
16
24
0
4
5
0
0
0
0
1
16
0
51
4
1
1
4
16
16
16
1
1
4
8
2
2
8
8
0
12
8
8
0
0
16
4
4
8
32
16
17
16
0
0
0
0
8
2
18
8
8
12
8
16
16
16
16
33
33
2
2
1
2
1
8
32
8
40
32
32
32
8
0
0
0
2
8
16
24
8
0
0
0
0
8
9
0
0
16
16
8
8
8
8
8
1
16
0
24
8
16
8
24
1
16
16
16
0
16
16
16
32
16
1
8
40
0
0
0
8
8
4
4
4
16
16
0
2
2
2
2
2
0
0
0
1
1
8
12
8
4
4
4
12
4
4
4
8
8
8
0
8
30
8
8
24
24
16
16
16
0
0
0
8
0
16
8
1
1
1
2
2
2
2
2
8
0
1
1
1
4
4
4
16
16
8
4
8
8
8
8
8
0
26
8
4
4
4
4
16
18
18
1
16
16
16
0
0
0
0
0
16
16
0
0
0
0
2
2
39
36
16
0
0
0
8
1
8
8
12
8
4
8
8
32
16
2
4
2
2
4
4
4
16
1
1
1
1
12
8
16
16
0
16
16
1
1
1
1
1
1
1
16
16
35
1
0
16
16
16
16
16
5
1
1
0
0
1
1
1
8
16
8
8
24
16
16
16
2
2
2
2
2
2
4
4
4
8
8
8
8
20
20
20
20
20
0
0
0
8
8
8
4
0
0
4
16
16
4
4
4
4
4
16
16
4
0
12
8
4
1
1
1
8
0
0
0
0
2
2
2
2
2
2
2
2
37
32
16
16
16
8
8
12
0
16
8
8
13
4
16
16
0
0
16
8
16
16
16
8
8
8
8
0
0
8
8
8
8
16
0
0
0
0
8
32
32
0
16
8
20
8
8
4
4
4
4
4
4
4
4
4
4
4
4
16
16
16
8
0
8
8
4
4
4
4
4
4
16
41
16
16
16
8
8
0
4
4
8
0
0
16
8
8
8
1
24
2
2
16
16
2
16
16
0
16
0
0
2
0
8
8
8
0
4
4
8
8
8
8
8
16
16
16
0
0
0
4
0
16
16
16
16
0
0
4
16
4
16
24
8
8
2
2
2
2
2
16
0
0
0
8
8
8
8
0
16
4
8
16
16
0
0
8
16
16
16
16
4
4
4
4
16
1
17
1
16
16
0
16
48
48
48
48
8
8
8
8
8
16
16
16
16
16
16
16
8
8
8
8
8
8
32
32
0
0
16
16
16
32
32
32
32
32
24
1
1
16
16
0
0
0
0
8
8
8
8
0
20
16
16
16
16
24
8
16
3
16
16
16
4
4
4
9
9
9
8
8
0
0
16
16
16
16
0
4
4
4
24
24
8
0
16
16
24
8
16
16
0
8
0
2
8
16
24
16
16
1
1
1
1
0
0
16
16
16
16
16
16
4
4
0
0
0
0
36
8
8
8
16
8
16
16
16
16
16
16
8
8
8
8
8
8
8
8
8
8
8
8
8
16
16
16
16
8
8
8
8
8
8
8
0
0
8
8
0
0
0
6
6
6
16
36
36
17
17
17
17
0
0
0
8
8
12
8
0
0
0
16
0
16
0
24
56
8
16
16
8
8
0
0
0
0
16
16
16
8
8
16
0
17
0
16
16
16
16
16
16
16
16
16
2
2
1
1
1
1
1
1
4
1
1
8
8
8
8
32
32
32
32
32
32
32
32
2
2
2
16
16
16
1
8
8
1
9
0
16
16
16
0
0
8
20
20
20
16
16
24
16
16
38
38
38
4
4
4
8
8
8
8
0
0
0
0
4
1
0
0
0
16
16
8
16
16
24
8
8
8
32
32
32
32
32
32
32
8
1
25
1
1
1
16
8
2
2
2
8
8
40
4
4
4
1
1
16
8
8
0
0
0
8
8
8
8
8
4
4
4
4
8
24
0
0
0
0
0
0
0
8
8
8
8
1
0
32
16
16
8
8
8
16
1
16
16
16
16
16
16
0
8
8
17
8
16
16
16
16
16
32
0
8
4
8
8
8
8
8
8
0
0
16
56
4
4
4
0
2
2
8
8
8
8
8
0
16
16
16
0
0
4
4
8
0
0
8
8
8
8
8
9
11
2
0
16
16
16
16
8
8
8
24
8
0
8
8
0
8
12
12
16
16
8
25
8
8
8
8
8
16
16
16
8
0
8
0
0
1
1
1
1
1
4
4
16
16
16
8
16
8
8
8
24
24
1
1
2
2
2
28
28
4
0
1
0
0
0
0
8
0
0
32
32
16
16
8
8
0
0
24
24
16
8
1
4
4
4
24
0
8
0
16
4
5
5
0
0
8
8
8
8
16
1
1
0
0
12
0
16
1
4
4
8
6
6
6
32
4
4
4
4
0
16
16
9
9
9
9
0
0
1
1
8
8
4
4
4
3
8
8
8
1
1
16
25
16
16
0
4
16
8
8
8
8
8
8
8
8
8
8
8
24
24
0
0
8
8
0
16
24
24
0
0
0
16
16
16
0
0
0
0
0
0
0
16
16
48
16
16
4
24
28
4
4
4
4
4
26
26
0
0
16
16
24
8
8
8
4
12
24
8
8
12
4
8
8
8
8
8
0
8
8
16
8
0
16
16
4
4
0
8
0
0
0
8
4
32
32
6
6
6
6
6
0
0
0
16
16
16
16
4
4
1
25
16
16
16
16
16
16
8
4
4
16
16
16
0
16
16
16
8
17
1
1
24
24
24
0
8
16
16
16
16
4
4
4
20
20
8
8
8
0
0
16
8
16
0
0
4
16
17
17
16
28
8
16
16
16
16
16
32
8
0
0
17
4
8
8
8
32
0
8
8
8
8
8
8
8
8
0
32
4
4
4
4
4
4
16
16
16
16
8
8
8
8
2
2
8
24
1
25
9
8
8
8
8
8
16
0
1
1
1
1
8
8
8
8
4
4
4
4
4
16
16
8
4
4
0
8
17
4
32
32
12
8
16
8
16
16
16
16
16
16
0
0
8
8
16
0
8
8
16
16
0
16
8
24
1
8
12
8
8
8
8
8
16
16
16
8
8
8
8
8
8
8
8
16
0
0
40
8
24
24
4
4
4
4
4
20
8
8
1
1
0
16
16
16
16
8
8
8
8
8
8
8
8
0
0
0
1
1
1
1
8
48
16
16
16
41
32
32
32
2
2
4
4
4
8
8
16
16
2
2
8
16
16
16
4
4
4
2
8
8
8
4
4
4
2
16
16
8
8
8
8
8
8
8
1
4
4
4
16
16
4
4
4
8
8
8
16
4
4
0
4
8
2
2
2
4
0
0
0
16
16
16
16
16
16
16
16
16
16
1
1
16
16
16
16
0
0
16
16
8
28
16
16
8
8
8
8
8
8
0
16
16
16
16
16
5
4
16
0
0
8
8
16
16
8
8
8
2
2
2
2
2
32
32
0
4
4
4
2
48
32
32
32
16
16
8
16
16
4
8
0
10
8
10
4
20
20
16
16
16
16
0
16
16
16
0
4
4
4
4
2
2
2
0
16
16
16
16
16
16
16
16
8
0
24
24
24
41
41
0
1
1
8
8
8
8
0
16
16
8
24
16
16
24
8
16
24
24
8
60
8
8
8
8
8
8
8
8
8
8
24
0
0
8
16
8
8
0
0
8
8
8
0
4
16
20
20
24
16
16
16
8
0
0
12
8
2
2
12
12
12
8
0
8
24
8
28
8
8
8
0
16
8
8
0
0
0
0
0
60
60
8
8
8
8
8
8
4
0
8
8
8
2
2
2
16
16
32
32
32
8
8
8
8
8
24
24
24
24
8
20
0
12
12
12
8
8
8
16
24
16
16
16
16
16
16
16
0
0
0
0
16
16
16
0
8
4
4
4
4
24
16
16
16
16
16
16
8
8
0
0
8
24
16
8
8
8
8
8
8
2
2
2
0
16
0
0
0
0
4
4
4
4
8
8
8
8
16
0
2
0
0
1
0
8
8
2
2
24
16
8
8
8
8
8
0
8
8
0
8
16
16
16
16
16
16
4
4
4
4
4
4
4
8
8
2
2
8
8
8
8
8
8
16
16
16
16
16
1
1
16
16
8
8
8
8
8
16
24
8
24
8
8
8
8
8
0
0
0
8
8
0
8
25
8
1
1
0
0
0
8
8
8
8
8
16
16
0
0
0
2
0
16
16
0
0
0
42
34
8
42
0
8
16
16
24
24
8
8
8
8
8
8
8
0
0
0
8
8
8
4
4
0
0
18
18
18
18
18
18
18
8
1
1
1
1
16
16
18
16
16
21
20
20
8
8
8
8
8
16
16
8
8
0
0
4
0
0
0
8
8
8
8
0
0
0
8
8
8
8
8
8
8
0
32
4
4
8
16
0
8
8
8
8
8
8
0
0
2
2
0
1
1
62
48
48
48
48
48
48
0
32
32
16
16
16
6
6
6
6
6
4
0
48
48
8
8
8
0
0
16
16
16
2
4
8
8
8
8
2
18
16
4
8
8
16
16
16
16
16
16
8
8
8
8
8
8
8
0
0
1
1
4
4
8
24
8
1
1
1
0
0
0
0
0
4
9
4
4
24
24
0
0
8
16
16
16
16
2
32
32
32
32
32
16
16
16
16
16
16
16
0
34
34
34
34
34
1
1
1
1
1
1
1
21
21
2
2
2
0
0
0
8
16
16
16
8
32
32
32
32
16
8
8
8
8
8
8
0
16
24
16
16
16
16
16
8
8
8
32
32
32
32
32
32
8
8
8
8
24
8
2
2
2
4
8
16
16
8
8
0
16
4
4
8
2
16
16
16
16
16
8
8
8
8
8
8
4
28
28
28
0
0
0
16
16
16
0
4
16
0
0
0
0
0
8
1
10
4
4
8
8
8
8
1
1
8
8
8
8
8
16
8
16
1
8
8
8
8
8
25
16
16
8
8
12
8
0
8
8
8
16
8
24
24
6
1
0
1
1
1
0
4
4
4
16
2
16
1
16
16
16
8
8
1
1
1
1
1
16
16
0
2
2
2
8
8
8
8
8
10
2
8
8
8
8
8
8
16
16
16
0
24
16
8
16
16
24
8
8
8
28
0
0
8
8
8
8
0
16
16
16
0
0
8
8
8
8
8
8
8
1
8
8
8
8
16
16
1
4
4
4
4
16
4
5
4
4
4
4
4
4
8
8
4
4
0
16
0
8
16
16
16
16
1
1
1
2
2
2
8
9
8
8
8
8
16
16
8
8
8
8
8
8
8
8
16
16
0
16
0
0
4
16
8
12
8
0
16
16
8
24
24
0
0
0
16
16
16
16
16
2
2
8
2
8
8
8
8
8
8
0
40
32
8
2
8
0
0
0
8
8
16
24
8
0
0
8
8
8
8
8
16
16
16
16
16
16
0
8
8
9
4
4
4
4
4
4
12
8
8
16
12
8
8
8
16
2
2
2
2
0
8
16
4
0
0
0
0
0
0
8
8
8
1
1
1
8
0
8
8
8
8
8
0
8
8
8
4
8
8
4
2
16
16
16
16
24
16
8
8
0
0
16
4
8
16
16
0
28
16
8
8
17
17
17
0
0
48
48
0
0
0
0
0
0
0
0
0
2
2
0
0
0
24
8
8
8
8
8
8
8
8
16
16
16
16
8
3
3
3
6
8
12
12
2
2
4
8
40
8
12
4
12
4
16
16
8
24
0
8
8
8
8
8
8
8
8
24
8
8
0
4
4
4
4
8
16
16
0
8
8
12
32
32
32
32
32
32
32
8
8
8
8
16
16
4
4
0
0
0
8
0
8
8
8
8
8
8
8
0
8
8
0
16
16
16
16
8
16
16
0
0
8
8
0
10
10
1
1
8
0
0
8
8
8
8
8
0
8
8
8
8
8
8
8
16
4
4
4
16
0
0
0
8
8
8
8
1
1
1
1
1
1
16
0
8
8
16
8
0
8
8
1
1
1
0
4
0
16
16
16
16
16
16
8
32
32
32
1
1
0
40
16
16
8
8
0
16
16
16
0
0
0
8
16
16
8
8
16
16
2
16
16
16
16
8
8
3
2
1
3
24
0
6
6
16
16
16
8
8
8
8
1
4
4
4
4
4
0
8
0
8
12
0
8
8
2
8
0
1
1
1
0
0
0
1
1
1
1
1
1
1
0
22
22
22
8
32
16
0
3
6
0
4
4
4
0
2
2
4
4
4
16
16
8
8
2
2
2
24
24
24
24
16
16
16
16
16
16
24
24
16
16
16
16
16
16
16
16
4
4
4
4
4
8
0
8
24
8
8
8
16
16
16
4
4
1
1
16
4
4
0
12
12
4
16
16
16
16
16
20
16
16
8
0
0
0
0
12
12
12
8
8
8
0
4
16
8
8
57
57
57
57
57
57
0
0
0
8
1
1
1
1
1
4
4
4
8
8
8
0
16
16
8
8
8
0
8
0
0
0
8
8
8
8
8
8
24
0
8
8
24
25
8
16
24
24
16
16
24
16
16
16
16
8
8
8
8
8
8
16
0
0
0
4
16
16
25
25
0
16
16
16
16
16
16
1
0
0
0
0
0
0
16
4
16
16
16
0
0
8
8
8
8
8
0
0
0
1
1
8
8
8
8
8
8
16
16
16
16
0
48
48
16
20
4
4
4
8
2
0
0
0
8
8
16
16
16
16
8
8
4
4
4
8
8
2
2
4
2
6
6
2
2
2
16
8
8
8
4
4
4
4
16
16
16
1
24
24
8
0
0
2
2
0
0
0
2
2
2
2
2
2
2
0
8
24
1
8
4
0
0
0
1
1
1
1
18
18
18
8
8
18
18
16
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
8
8
8
8
8
16
16
16
12
0
16
16
8
8
0
0
10
8
8
16
8
8
8
4
4
8
16
1
8
8
8
0
0
0
8
8
16
16
24
16
16
8
8
8
0
8
8
8
4
4
16
16
16
16
16
8
8
8
8
8
4
4
8
12
12
4
4
4
4
8
8
8
8
8
8
8
2
2
8
8
8
8
0
16
16
8
8
8
8
8
8
8
16
8
8
1
0
16
16
16
16
16
16
16
16
16
16
16
16
1
1
8
1
1
1
0
8
8
41
24
24
0
0
0
24
24
24
24
4
6
8
8
8
8
8
16
16
16
16
24
16
8
8
0
4
4
4
16
16
0
16
16
4
8
8
8
8
0
0
56
56
2
8
8
8
24
24
24
24
16
16
24
4
4
4
0
0
0
0
16
0
16
16
16
16
1
1
1
0
1
0
0
8
8
8
8
8
16
4
16
48
48
16
16
16
16
8
8
8
8
8
8
0
2
0
0
14
8
4
4
4
4
0
24
16
16
0
8
8
32
32
32
1
8
0
0
0
36
16
16
16
0
8
16
16
16
16
8
12
0
8
8
8
8
8
8
0
8
8
8
8
8
8
8
8
8
8
0
16
16
16
16
16
4
4
8
8
8
8
16
20
17
17
0
0
0
0
12
8
2
2
8
8
8
2
2
0
16
16
16
16
16
16
16
16
8
8
8
8
8
8
0
16
16
0
1
1
8
4
4
8
8
8
0
16
8
0
0
8
8
8
8
39
39
0
8
16
16
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
16
8
26
16
8
8
16
16
50
8
8
24
1
16
4
4
4
4
12
12
12
16
12
12
12
0
24
8
8
8
0
8
0
8
0
8
8
8
8
8
0
8
8
8
0
0
8
0
0
0
0
16
16
16
0
2
2
2
8
8
0
8
8
8
0
0
8
8
4
8
8
16
16
16
8
5
16
16
0
32
32
32
0
8
8
24
24
16
1
1
1
1
1
2
32
32
32
16
16
16
16
16
16
0
0
8
28
8
8
8
8
16
16
16
16
18
4
4
4
0
8
8
8
0
0
0
0
8
8
8
8
8
8
8
16
20
0
0
1
0
0
8
8
8
8
0
0
0
0
0
8
4
0
8
8
16
16
1
4
0
0
8
8
8
32
1
1
1
1
1
0
0
8
8
16
8
8
8
8
12
12
12
1
1
1
9
1
32
32
32
32
8
24
16
24
0
0
0
32
16
32
32
16
16
4
4
0
8
8
16
8
8
24
8
8
0
0
0
0
8
8
8
0
0
0
0
0
1
4
4
4
8
8
8
0
8
8
16
16
16
16
16
16
16
0
0
0
4
4
4
4
16
16
10
8
8
8
0
0
4
4
4
4
4
4
16
16
16
16
16
8
8
8
8
8
8
8
8
8
8
8
1
1
0
8
8
40
4
2
16
8
2
2
8
8
16
16
16
0
0
16
0
0
0
1
4
16
4
0
0
8
24
8
0
0
0
28
8
8
8
8
8
8
0
17
17
17
0
0
24
8
8
32
16
16
8
0
0
16
8
8
4
4
4
20
8
8
8
8
8
16
4
4
1
1
4
4
8
8
2
2
2
17
21
24
8
8
8
4
0
0
0
8
8
8
8
8
8
8
0
0
1
0
16
2
16
16
2
2
24
16
6
6
6
6
6
6
2
2
2
16
16
16
16
12
8
0
0
8
4
2
32
32
36
2
0
0
16
8
8
16
16
0
0
0
0
8
8
16
16
8
16
16
8
24
24
24
16
8
8
8
8
8
8
8
0
21
21
0
0
25
25
8
8
8
0
0
1
1
8
8
16
16
16
5
0
0
1
8
8
2
2
2
2
0
8
0
0
0
9
13
8
8
8
16
0
1
1
1
1
0
4
4
4
4
1
16
1
1
0
16
16
8
8
8
8
0
2
0
0
0
0
0
24
0
0
16
16
4
4
2
0
8
8
8
0
16
16
16
2
2
16
8
8
0
0
0
0
16
16
16
16
16
16
16
16
16
16
0
0
2
4
4
0
16
28
4
0
8
8
16
16
16
20
21
24
24
10
16
8
8
0
0
0
16
16
0
0
0
8
8
16
8
8
16
16
8
16
8
8
8
0
0
0
16
16
1
1
1
1
0
0
0
0
8
8
12
8
8
8
8
8
0
0
0
16
16
0
8
0
0
8
8
8
0
0
0
40
57
57
57
0
8
1
16
16
8
8
8
8
8
8
8
24
8
4
8
8
0
0
16
16
16
17
16
16
16
12
4
2
6
2
16
4
0
16
16
32
32
0
52
52
52
0
1
1
0
0
0
4
4
16
8
8
16
16
8
0
4
4
4
4
1
1
1
1
16
16
16
16
8
8
4
4
16
4
20
16
0
0
0
4
4
2
0
16
8
0
0
0
8
0
0
8
16
8
8
8
8
0
0
0
0
0
0
16
16
16
0
8
2
4
4
4
4
0
0
16
0
0
16
16
8
8
8
4
4
8
8
8
8
8
8
8
24
8
0
1
1
1
8
8
48
16
8
0
0
8
8
8
0
0
0
32
32
32
32
8
8
9
9
32
32
32
32
32
32
32
0
0
0
8
28
8
8
8
20
16
4
0
0
0
8
8
8
8
16
16
16
16
4
4
4
4
16
16
16
16
16
1
20
20
20
20
1
10
2
16
16
16
16
16
16
8
8
8
2
18
16
1
4
16
12
24
24
16
16
16
16
16
8
8
8
8
8
24
24
0
1
1
1
1
8
8
16
16
32
8
8
8
1
16
16
1
16
16
16
16
16
16
16
16
0
0
1
1
1
0
1
1
17
1
1
1
1
1
1
1
1
24
24
24
16
0
16
16
16
8
8
8
2
0
2
1
1
1
1
1
1
2
16
24
8
24
8
8
8
1
0
0
16
8
16
8
8
8
1
8
2
0
0
4
4
4
40
8
8
0
0
4
4
8
16
16
16
16
16
16
16
1
17
0
0
8
16
8
8
16
4
4
4
16
17
1
1
0
8
0
0
1
1
1
16
16
16
0
8
8
8
12
4
4
4
4
4
16
24
16
32
8
8
8
0
8
8
0
0
24
28
8
8
8
6
6
4
24
8
9
8
16
33
1
33
1
8
8
16
16
0
4
12
4
33
33
8
0
0
24
24
24
0
0
0
41
33
24
16
8
16
4
20
0
1
1
32
1
1
8
8
8
8
8
8
8
8
8
8
0
0
4
4
16
16
2
3
2
8
8
0
0
16
0
0
16
16
16
16
1
8
8
16
24
16
16
16
16
8
8
8
8
0
0
16
16
0
18
4
4
4
56
56
8
8
16
16
16
16
8
16
2
2
6
7
0
16
16
8
8
8
8
8
5
0
4
0
0
16
24
16
16
16
16
8
8
8
8
8
8
8
0
18
18
18
10
10
16
16
16
8
8
8
8
0
8
0
16
16
8
2
2
2
2
8
8
8
16
16
16
16
16
16
16
16
16
16
16
16
8
8
8
8
8
16
1
16
16
17
24
16
16
2
2
8
4
8
4
8
4
0
0
0
16
16
16
16
16
16
0
0
0
0
16
16
16
4
4
4
4
4
4
4
4
12
12
16
16
8
4
8
8
8
0
16
16
16
16
16
16
16
20
20
4
8
1
1
1
1
16
16
16
16
16
16
1
8
16
24
8
16
16
16
8
1
8
8
8
0
0
0
0
0
0
1
1
1
0
0
0
0
0
2
24
24
24
17
12
12
12
0
8
8
8
8
8
6
2
2
2
2
8
8
8
8
8
8
8
8
16
16
8
8
8
4
4
0
8
8
4
8
0
0
8
16
24
8
8
8
8
8
8
16
1
1
1
0
0
0
0
4
0
8
8
8
8
0
0
16
16
16
18
16
8
16
16
2
2
8
8
0
2
4
4
4
4
4
4
4
4
4
4
4
4
4
0
16
8
17
16
1
1
0
0
8
8
8
8
8
18
16
17
1
1
0
0
0
8
8
16
8
8
8
8
8
8
4
4
4
8
6
4
0
0
0
0
8
0
0
0
0
1
1
1
1
24
24
25
25
25
25
8
8
8
8
19
19
0
0
0
16
16
16
8
8
8
8
8
0
8
8
8
20
25
4
28
8
8
0
0
8
0
8
0
1
1
8
8
8
8
8
8
8
1
0
0
1
4
4
0
8
0
2
2
8
8
8
8
8
0
8
0
0
0
8
16
8
16
16
16
16
16
8
8
16
8
16
16
1
16
16
8
8
24
8
0
0
0
0
20
20
0
0
0
16
16
8
16
0
8
8
8
8
2
16
0
0
17
16
16
16
16
16
16
16
8
16
16
16
16
16
8
8
8
8
1
12
8
16
16
0
8
8
8
16
12
24
0
16
16
16
16
0
1
1
1
16
16
16
0
24
24
24
24
16
16
8
8
8
8
8
8
8
9
16
16
8
16
16
1
1
1
1
4
0
16
16
16
16
16
16
16
8
8
2
8
8
8
16
16
8
0
0
0
4
4
4
4
8
8
8
8
24
0
16
16
16
16
0
0
0
0
0
0
0
8
8
24
24
16
8
24
24
24
24
0
0
9
20
20
32
32
4
17
17
32
35
4
4
4
4
1
1
1
8
8
8
8
16
24
16
8
8
0
40
16
8
0
0
2
2
2
8
8
16
16
20
0
16
16
16
0
0
0
1
1
16
16
16
4
4
8
8
4
4
4
0
8
8
4
4
0
6
6
12
12
24
4
28
0
0
8
16
8
0
4
0
8
16
8
8
16
16
16
24
16
0
5
1
0
19
19
2
8
24
24
24
8
0
1
8
8
8
8
8
8
8
0
0
4
4
4
4
32
18
18
16
16
0
0
32
32
0
9
1
1
1
0
8
8
8
1
6
0
0
0
12
12
8
2
8
8
8
4
8
8
4
4
0
0
0
1
1
1
16
16
1
4
16
8
0
16
1
17
9
1
0
0
16
16
2
2
2
16
16
16
16
16
16
16
8
16
0
0
0
0
8
8
24
16
1
8
8
0
16
8
8
8
16
8
8
8
8
8
8
8
0
0
16
16
16
24
16
16
32
32
8
8
8
8
16
4
4
2
2
2
2
2
2
2
16
16
16
16
4
0
0
0
4
4
16
16
16
16
16
16
8
4
4
4
16
16
20
25
16
16
16
8
8
8
8
8
8
0
0
1
4
4
4
4
4
4
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
8
8
16
16
16
16
16
16
16
16
1
1
0
0
8
16
16
8
8
16
1
1
1
16
16
16
16
0
0
1
8
8
8
8
8
8
8
16
1
1
17
0
0
0
8
8
16
4
4
4
4
4
24
6
6
16
16
16
16
8
12
12
0
0
0
8
8
16
16
16
4
1
16
16
0
0
0
8
8
8
32
20
1
0
1
1
8
8
8
8
8
1
8
16
8
8
0
16
8
12
12
8
16
16
4
4
32
16
16
32
8
8
8
8
8
2
9
8
16
16
16
16
16
16
8
35
34
2
1
1
1
9
8
2
17
17
17
17
17
24
8
8
4
4
16
0
5
5
8
4
4
8
8
8
0
8
16
0
0
8
8
1
8
8
1
6
7
7
0
0
8
16
16
16
16
16
16
8
16
8
4
16
0
16
16
16
0
2
2
0
2
2
2
2
2
2
2
16
16
16
16
0
4
4
4
4
4
36
2
2
0
0
0
26
1
1
16
16
1
0
0
0
3
8
8
8
8
8
8
4
4
4
4
32
32
32
16
8
1
1
2
2
2
29
36
0
16
8
8
8
0
4
4
4
16
16
8
1
16
16
16
16
16
16
16
16
3
3
8
8
8
8
0
8
17
17
17
4
4
0
16
16
16
16
0
0
0
0
0
8
8
1
1
8
9
1
9
9
8
8
8
8
4
4
4
1
0
16
16
17
17
8
8
8
8
8
8
8
57
8
57
0
0
16
17
17
17
0
0
8
8
8
8
8
8
8
8
8
4
4
16
2
2
2
8
16
16
16
16
16
16
16
16
16
1
1
1
1
1
1
1
8
8
8
8
8
8
8
8
16
16
16
16
16
8
8
6
8
4
4
28
16
20
1
1
1
8
8
8
1
4
4
0
0
0
0
4
4
4
4
4
8
2
2
2
2
2
32
32
32
16
8
8
16
16
16
16
8
8
8
8
8
8
16
18
16
8
8
8
8
8
8
8
8
8
8
8
8
8
5
5
4
8
12
12
32
16
16
32
60
16
4
4
8
8
4
4
4
16
16
16
16
4
4
0
0
0
8
0
0
0
8
16
36
8
8
16
0
12
8
8
8
8
8
8
8
16
16
24
16
4
4
4
4
8
8
0
1
8
8
0
0
0
0
2
16
16
16
16
16
16
16
8
4
8
4
18
18
24
24
1
1
1
4
4
4
4
0
0
2
16
18
18
16
16
0
8
8
8
16
0
0
16
16
24
16
20
20
20
20
20
20
0
0
0
16
16
16
8
16
16
8
34
34
0
8
8
8
8
2
2
4
2
0
0
24
24
24
24
24
24
24
24
24
0
4
4
4
4
0
8
8
4
12
8
8
4
4
4
4
32
48
16
16
16
25
8
8
8
2
2
8
1
1
1
17
40
8
8
8
8
8
8
8
1
16
25
4
4
4
0
5
8
8
8
8
8
8
8
8
25
16
16
1
1
0
0
16
16
16
8
8
8
8
16
16
0
8
8
0
4
16
2
8
0
8
8
8
8
8
8
0
8
8
8
8
8
8
16
4
16
16
0
0
0
0
0
0
0
16
32
32
0
0
8
4
8
8
8
8
4
8
8
8
0
0
1
4
4
4
4
4
1
1
1
1
1
16
16
4
4
4
0
0
16
16
16
16
0
8
8
8
8
0
16
8
8
8
8
0
0
2
2
8
2
2
2
0
16
16
16
16
0
0
0
4
0
0
0
8
16
2
16
17
0
16
0
0
0
8
32
32
32
0
16
1
0
0
0
0
2
2
8
8
8
8
2
2
5
8
8
16
8
8
8
8
9
8
8
0
4
4
4
4
16
4
4
4
8
0
8
24
8
8
16
16
8
8
8
8
8
0
0
0
0
1
48
16
16
16
20
4
16
4
4
0
4
4
4
4
4
16
1
1
8
8
8
8
8
1
4
4
4
22
16
28
16
2
2
2
8
8
8
8
8
16
16
16
16
16
16
16
4
4
28
8
8
8
8
8
8
16
8
8
0
16
16
16
16
16
16
4
4
0
16
16
20
8
8
8
4
4
16
16
2
2
8
8
8
0
8
16
24
24
8
8
16
16
16
16
2
2
8
8
1
1
1
8
8
32
0
39
39
39
16
0
0
0
8
8
8
16
16
16
16
8
0
0
2
2
4
12
16
0
0
0
28
28
32
32
32
8
8
8
12
12
16
16
16
16
16
16
1
1
8
8
8
8
8
8
0
24
0
16
8
24
8
8
8
8
8
16
16
16
16
16
16
16
16
16
12
0
16
16
16
0
0
0
16
8
2
16
0
0
16
16
16
0
0
0
0
8
8
16
16
8
8
8
8
0
0
4
4
16
17
17
8
8
8
24
8
8
8
8
1
1
1
1
0
24
24
4
4
1
40
40
40
1
8
8
8
4
2
2
16
16
0
8
4
4
4
0
16
16
16
0
2
8
8
8
0
0
8
16
8
24
24
24
0
4
4
2
2
2
16
16
16
4
4
0
0
16
16
16
24
16
12
8
16
1
16
8
8
0
8
8
16
16
16
16
4
4
4
4
4
4
16
0
0
0
0
4
4
8
6
6
4
24
24
24
24
24
24
24
0
4
16
8
16
8
4
16
16
16
16
16
16
16
16
24
8
8
0
8
8
24
8
8
0
16
27
16
16
16
16
16
1
0
2
2
10
2
8
24
8
16
16
0
0
0
0
16
16
16
1
1
1
1
8
2
1
5
5
5
5
0
0
0
8
2
8
8
8
8
34
34
34
34
34
8
8
8
4
4
0
1
1
1
1
32
32
32
32
32
32
32
32
8
8
8
8
2
4
2
2
16
16
16
16
16
16
1
0
0
5
5
0
0
0
16
16
8
8
16
8
0
4
16
0
0
0
8
8
12
8
0
0
1
1
1
16
17
0
0
1
8
8
0
8
8
8
1
2
2
0
4
8
4
4
4
12
16
1
49
1
1
1
1
1
1
16
16
24
24
12
12
28
28
8
16
16
16
16
16
0
8
8
8
8
8
8
0
8
8
0
24
24
40
8
8
8
8
2
2
2
2
2
2
2
8
0
0
0
0
8
8
8
16
16
16
8
8
8
4
4
4
16
16
2
8
8
8
17
16
0
8
8
8
0
8
8
0
0
16
16
16
8
8
8
4
16
16
4
4
16
16
18
16
0
0
8
8
8
0
8
8
8
8
40
7
4
0
8
8
2
2
2
16
16
16
16
16
16
16
16
16
16
16
16
16
24
8
14
14
14
14
14
14
2
18
2
18
0
0
8
4
4
8
8
16
16
1
24
24
1
1
8
8
8
8
16
18
18
2
16
24
24
26
8
0
8
8
32
16
8
44
44
0
0
0
8
4
4
0
0
0
0
8
8
8
16
16
16
8
8
8
4
4
16
20
16
16
16
16
16
16
16
8
8
16
1
1
1
8
4
4
4
4
4
24
24
24
16
16
0
2
26
2
2
24
24
8
16
1
0
0
16
16
24
24
24
8
0
16
8
8
8
16
1
1
8
8
8
8
16
48
2
0
24
24
17
17
17
0
0
8
0
0
0
8
8
8
12
12
1
1
1
22
8
4
2
8
8
8
8
8
8
8
1
1
1
1
8
16
16
8
32
32
32
32
0
8
61
0
0
0
0
8
8
0
2
4
4
2
8
1
1
1
0
0
8
8
8
8
8
17
17
17
17
17
17
8
8
8
16
0
16
0
0
0
2
4
8
8
4
4
8
8
8
1
1
0
16
16
1
16
16
16
8
8
8
8
8
0
1
48
16
0
48
8
8
8
8
1
1
1
1
1
1
1
1
0
0
0
0
16
16
14
8
8
2
2
16
16
16
16
16
0
8
24
8
8
2
2
2
0
0
0
0
24
24
8
0
8
8
8
8
8
8
8
8
16
48
16
16
16
40
40
40
40
40
0
0
0
4
48
8
8
8
8
8
9
9
0
24
8
8
8
8
8
8
1
3
16
16
0
0
24
2
2
2
2
2
2
0
0
0
8
0
0
8
8
8
8
4
4
8
8
0
8
8
16
0
0
0
28
16
16
8
8
28
28
1
8
16
16
0
0
1
0
8
8
16
16
16
16
16
2
8
0
0
0
0
8
8
24
8
8
24
1
18
8
4
0
0
1
16
0
16
1
16
16
16
16
32
9
0
1
1
1
1
2
1
16
18
18
8
8
8
1
1
45
45
45
8
1
9
1
16
39
39
1
8
8
8
8
8
1
1
1
1
16
17
16
16
8
8
8
8
8
0
24
24
24
24
24
24
24
24
8
24
8
8
0
1
1
4
4
8
2
2
13
13
13
8
8
8
0
24
8
8
8
1
1
1
0
8
8
8
8
8
8
8
8
0
0
8
16
1
1
1
1
1
8
0
0
8
8
10
16
0
0
0
18
18
18
18
41
8
8
0
0
16
16
16
0
4
4
4
4
4
16
1
1
1
1
1
16
8
4
4
4
4
4
24
8
8
8
8
8
8
8
8
8
12
8
8
8
8
8
0
16
16
20
20
20
16
8
4
8
8
8
8
8
8
8
8
8
16
16
16
16
16
16
16
56
0
0
0
4
38
38
4
0
0
1
1
1
1
1
4
0
0
0
0
0
16
4
8
8
16
16
8
8
8
0
4
4
4
4
4
8
8
8
8
24
24
8
8
8
8
28
8
8
8
0
20
20
20
2
2
2
2
2
0
0
8
4
4
4
4
16
16
16
5
5
4
24
8
8
8
0
0
16
8
8
24
2
2
2
2
2
2
2
9
0
0
8
8
32
32
16
0
1
8
9
9
8
1
0
16
16
14
14
14
14
8
6
8
0
0
0
8
1
8
8
8
8
8
8
8
18
18
18
32
32
42
8
8
8
8
16
16
16
16
16
4
0
16
16
0
24
8
8
8
4
20
4
0
0
17
21
4
4
8
8
8
8
8
0
0
4
4
8
8
8
16
16
16
16
16
4
4
4
4
8
8
8
8
8
8
8
36
0
25
25
17
8
0
0
0
1
1
8
0
16
8
8
0
0
8
4
4
4
4
16
1
17
17
17
8
16
16
16
16
0
1
1
0
16
16
16
16
16
0
8
10
18
0
0
28
0
0
8
8
8
8
0
0
0
0
0
0
4
8
2
8
57
57
0
0
0
0
4
20
20
48
1
16
16
16
16
16
16
16
16
8
8
8
8
25
25
25
25
8
24
16
16
0
8
8
0
0
1
0
2
2
2
1
1
1
1
1
1
0
16
16
16
0
0
16
16
16
16
16
8
0
0
0
2
2
4
4
0
24
24
16
16
1
9
1
16
16
16
0
0
8
38
0
0
16
16
16
16
8
16
24
16
0
0
0
0
8
0
0
0
0
8
16
16
8
8
4
8
0
16
2
2
2
32
32
32
32
8
8
8
8
2
2
2
16
4
4
0
8
8
16
8
48
48
32
16
16
16
4
16
16
16
16
20
12
16
16
16
16
16
16
8
0
0
8
8
0
2
4
4
8
8
8
8
8
8
0
3
3
3
3
24
20
0
0
0
0
0
0
4
4
4
4
4
4
4
0
8
0
0
0
0
0
8
16
24
16
16
8
8
0
4
16
16
16
16
16
16
0
0
16
16
0
1
1
8
8
0
0
8
8
8
16
0
0
16
16
16
16
16
8
12
0
0
20
16
16
16
16
0
8
8
8
8
8
8
8
2
2
8
0
0
24
8
8
0
0
0
16
16
16
16
16
1
16
16
16
16
16
0
18
18
18
18
8
0
1
1
40
40
40
8
8
8
8
0
2
2
2
2
0
10
14
10
8
8
16
16
16
16
16
18
4
4
4
4
4
4
0
0
0
16
16
16
2
2
24
24
23
23
23
1
16
8
8
32
0
0
16
16
0
16
24
24
16
4
28
8
1
1
1
4
4
4
4
4
0
0
0
8
16
16
8
8
8
8
8
32
40
40
1
1
1
16
16
8
0
8
8
8
8
8
0
0
0
0
0
8
8
0
1
1
1
4
4
0
0
0
0
0
8
8
8
8
8
8
8
4
2
8
8
8
16
16
32
4
4
4
8
8
48
16
16
2
2
2
2
0
0
16
17
16
16
16
8
8
8
8
24
8
8
8
8
16
16
16
8
8
8
8
8
2
16
16
12
0
0
0
16
32
32
16
0
16
16
16
16
16
16
16
16
16
8
8
8
8
8
8
8
0
0
8
0
8
8
8
0
8
8
8
8
8
24
16
4
4
4
0
8
8
8
8
0
8
0
0
8
16
16
16
22
4
1
8
8
0
16
16
16
12
12
8
8
24
16
16
16
16
4
0
8
32
16
32
1
1
25
24
1
24
16
42
42
32
32
32
32
32
32
32
8
4
1
16
16
16
1
1
1
0
0
0
16
16
16
16
0
8
16
8
16
24
24
24
24
24
12
0
3
2
16
1
1
1
0
0
0
0
0
0
32
32
33
36
36
0
0
0
0
0
16
28
28
4
8
8
8
8
0
8
32
8
8
8
16
8
16
16
0
16
16
16
16
2
0
8
8
8
8
4
16
16
24
24
24
16
16
16
0
4
0
0
8
0
16
8
0
1
4
8
0
0
0
0
8
8
0
0
16
16
8
8
8
8
32
32
8
0
8
8
8
8
8
0
16
16
1
16
0
8
8
8
8
8
2
8
8
24
16
24
16
16
16
16
16
8
8
8
8
8
2
0
8
8
8
0
0
8
8
8
8
12
8
8
0
12
0
0
8
8
8
2
8
0
4
16
20
8
16
24
16
8
8
8
8
4
4
8
0
8
0
1
38
38
0
0
8
0
8
0
0
2
2
4
8
8
24
0
16
8
32
8
16
16
16
16
16
8
8
8
4
4
8
8
4
4
17
2
2
8
8
0
0
8
8
8
0
0
0
8
8
8
0
0
8
4
4
4
4
0
0
32
8
8
8
0
0
16
8
2
2
2
1
1
0
0
0
0
0
16
16
16
8
8
8
8
8
0
0
0
16
16
8
24
8
12
12
12
16
16
16
0
8
8
8
8
8
13
1
4
32
8
8
8
0
0
8
8
8
8
8
8
8
8
8
8
8
16
16
16
16
16
16
16
8
8
1
1
1
1
1
1
1
1
1
1
1
1
0
8
0
8
8
0
13
13
16
16
8
0
0
16
16
1
16
2
2
2
2
2
0
24
24
0
0
1
1
1
0
0
32
32
32
32
8
16
16
16
2
2
2
2
0
10
16
24
8
8
4
4
4
0
0
0
0
8
8
8
8
0
8
8
8
8
8
8
24
0
0
8
8
0
0
2
4
8
8
8
32
32
2
16
16
16
0
2
0
0
0
4
4
8
22
16
4
22
8
8
8
8
0
0
0
0
0
8
33
0
16
16
0
0
0
0
8
8
16
16
16
16
0
8
8
16
0
0
16
16
0
0
40
40
40
40
0
16
2
8
16
8
24
16
16
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
16
16
16
16
12
12
12
12
1
2
10
10
10
0
0
0
0
0
0
0
1
1
1
0
40
16
16
16
16
16
4
0
8
0
0
0
16
16
16
16
16
16
16
16
16
2
2
2
2
2
2
2
2
14
8
0
0
17
8
8
4
4
4
0
8
8
0
16
16
16
8
8
8
8
8
4
16
0
8
8
8
8
8
16
16
16
16
16
8
8
8
8
8
8
8
8
8
8
32
24
0
0
8
8
32
16
16
16
0
0
0
4
4
4
4
0
0
16
16
16
16
8
8
8
8
0
0
0
16
8
8
8
8
16
16
16
16
16
0
0
8
0
8
12
8
8
8
8
8
8
8
8
0
12
8
8
8
16
16
16
0
0
0
0
0
0
0
0
2
16
16
8
2
2
2
2
0
32
32
32
32
32
8
8
8
8
8
8
4
8
8
4
4
4
0
0
40
16
56
16
0
0
0
17
0
8
8
8
8
8
16
0
0
0
4
4
8
8
0
8
8
8
8
8
32
32
28
4
1
1
1
1
1
1
24
8
8
8
8
8
4
4
36
36
8
8
8
8
16
16
16
16
16
6
6
25
16
16
16
2
10
2
2
2
2
16
16
8
8
8
24
8
1
8
8
8
0
0
13
1
1
16
4
4
4
4
8
24
16
32
32
8
4
0
8
8
8
8
8
8
8
0
8
8
8
8
1
1
1
0
0
0
0
20
16
0
0
24
8
8
0
0
0
0
0
0
0
0
8
8
28
28
8
8
16
0
0
0
0
0
0
0
0
16
16
16
16
40
40
40
40
40
40
40
40
40
40
40
32
0
0
8
24
0
0
0
16
8
24
24
8
8
8
8
16
16
0
0
8
16
8
4
4
4
4
0
0
0
0
12
8
8
8
8
8
8
8
8
16
16
16
2
2
8
8
8
8
8
8
8
8
8
8
1
1
1
8
8
8
16
1
16
20
0
0
2
8
8
2
16
16
16
0
8
8
8
8
0
20
20
16
4
20
1
1
1
35
35
0
4
16
16
16
8
8
1
0
2
8
8
8
8
8
40
8
32
32
8
1
1
1
19
19
8
8
2
8
8
0
0
0
0
0
20
4
16
16
16
16
16
16
16
16
20
16
2
8
8
8
8
8
8
8
8
8
8
8
16
16
4
4
20
8
0
9
2
2
2
18
16
18
27
27
0
8
8
8
8
8
8
0
0
0
0
0
0
0
0
26
26
0
8
8
8
32
32
1
1
1
0
8
2
2
2
2
12
0
8
16
16
0
0
12
12
12
1
1
0
0
0
0
2
2
2
8
8
27
8
8
8
8
2
16
2
13
24
16
16
16
8
4
32
32
32
0
8
41
41
41
41
8
8
8
8
1
1
1
1
1
1
24
24
8
0
4
8
24
2
2
2
2
2
2
4
8
8
8
0
0
0
0
20
20
20
20
20
16
48
48
8
8
0
8
8
2
2
16
16
16
0
1
1
1
1
16
8
24
8
16
16
16
16
16
16
16
16
57
8
0
24
0
0
4
20
23
16
16
16
8
8
5
16
16
2
2
2
2
2
1
0
8
8
8
8
16
0
0
0
8
8
1
1
1
4
4
20
20
10
10
16
16
1
8
8
2
18
16
8
8
0
0
0
0
0
0
0
0
0
24
8
16
16
8
0
0
0
8
8
8
8
8
8
1
16
16
16
16
16
24
8
8
12
12
2
2
2
1
1
1
1
1
16
8
8
8
8
8
8
0
8
8
0
8
8
8
8
1
0
0
0
1
9
24
8
8
8
8
8
0
8
8
8
1
1
8
0
0
20
16
16
16
4
16
16
16
12
12
8
8
8
8
0
16
16
8
2
2
24
8
1
1
1
16
0
16
32
8
12
12
8
4
4
4
4
1
0
16
16
16
16
16
16
8
2
2
0
16
16
8
8
17
17
16
0
20
20
20
16
0
0
0
1
1
1
4
8
8
0
16
16
0
8
8
8
8
16
22
22
8
8
0
8
40
16
16
16
8
8
8
1
1
0
2
2
2
2
16
16
16
4
4
0
0
8
8
8
1
4
4
1
0
2
16
16
16
16
16
16
16
1
1
1
28
0
24
16
16
16
16
2
2
2
20
0
4
4
4
4
16
16
16
16
16
16
0
8
20
4
4
8
8
8
4
0
16
4
6
0
8
8
12
12
12
12
0
0
0
0
0
0
16
16
4
4
4
4
4
4
4
8
8
8
16
16
16
16
16
16
48
32
48
4
4
4
4
4
16
16
8
8
8
0
16
16
8
17
1
16
8
0
0
0
0
0
1
1
1
0
8
8
0
8
0
9
16
16
16
16
0
2
2
2
2
2
2
24
8
32
0
0
8
8
4
4
4
4
4
4
8
8
8
8
8
8
8
8
24
8
0
8
8
32
32
2
2
2
2
2
2
2
2
2
0
3
2
2
2
2
0
16
16
17
0
0
8
0
2
6
6
6
2
2
2
16
16
16
16
16
16
16
0
24
8
8
8
8
8
8
8
8
2
8
40
40
40
0
8
8
8
24
24
16
16
8
8
8
8
16
16
8
0
0
8
8
8
0
0
8
1
8
8
8
8
0
4
8
8
8
8
32
53
53
53
53
1
16
16
10
2
8
8
8
8
8
8
8
8
16
16
8
8
6
24
24
0
8
8
8
8
8
8
8
16
16
16
16
16
0
16
0
0
8
8
8
8
8
8
0
16
16
16
8
16
8
24
24
0
0
0
1
8
8
8
0
8
8
8
16
4
8
8
8
8
0
0
0
0
0
0
0
0
7
4
4
12
12
12
8
18
8
8
8
8
8
8
0
8
32
32
1
8
9
57
16
16
16
16
8
8
8
12
20
28
50
8
8
8
8
8
8
16
16
4
16
0
8
0
4
4
4
0
0
0
16
16
8
8
8
8
0
0
21
16
8
16
16
16
16
8
8
8
8
16
16
0
0
1
1
1
1
1
1
10
2
10
10
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
17
8
16
8
8
8
8
8
8
8
16
16
24
24
24
8
8
16
0
0
8
8
0
1
16
16
0
0
16
8
8
0
8
8
8
16
16
16
16
8
8
0
0
16
16
16
2
2
8
0
0
0
0
48
16
0
16
8
8
32
0
2
0
4
4
4
24
16
16
6
6
6
6
16
0
0
1
0
16
16
8
16
24
0
0
0
8
0
0
16
16
24
16
8
16
16
32
32
32
0
12
16
16
8
8
9
16
16
16
16
16
16
16
16
16
16
16
4
16
16
0
8
8
8
8
4
0
16
16
8
16
8
3
3
3
3
1
8
8
8
8
4
0
8
0
0
0
1
0
2
2
2
4
8
0
16
0
0
17
17
17
17
16
16
16
8
8
32
33
32
32
32
32
32
32
32
16
0
5
16
16
0
16
8
24
16
0
16
16
16
16
16
16
16
4
22
22
0
0
16
16
8
0
16
16
8
8
8
8
8
16
8
2
2
16
16
0
0
0
4
0
8
8
0
0
0
4
8
8
4
4
16
8
0
17
17
17
0
8
16
16
17
16
16
8
8
24
24
24
0
9
9
8
8
16
24
16
16
0
8
2
8
8
16
16
5
5
1
4
0
0
0
0
0
4
4
4
4
4
6
0
5
5
2
8
16
16
18
8
16
16
16
32
32
8
0
16
8
24
24
8
0
0
0
8
8
8
8
5
4
1
16
24
8
0
0
16
16
16
24
8
8
8
8
16
16
0
0
0
0
0
8
8
4
4
4
4
0
0
0
0
8
8
16
16
8
8
8
8
8
1
18
1
18
24
8
32
32
2
2
12
4
10
10
10
0
8
8
8
8
3
0
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
24
8
16
16
16
16
16
16
8
8
8
0
8
12
12
16
16
16
16
0
4
0
4
4
16
32
32
32
16
16
8
0
2
16
0
8
8
8
8
8
8
8
8
8
8
0
4
4
4
4
4
16
16
16
0
16
16
0
0
0
0
0
4
17
8
8
8
4
0
0
0
0
0
1
17
0
0
0
0
0
0
0
2
18
0
0
5
5
16
8
8
0
0
0
16
1
24
24
24
16
16
16
0
0
8
8
8
16
16
16
26
18
18
18
18
18
24
24
24
24
8
8
8
8
8
8
8
16
1
1
12
16
16
8
8
8
1
1
1
1
0
0
8
8
8
8
4
4
4
4
4
16
2
16
12
8
8
8
8
24
8
49
0
8
4
4
4
4
4
4
4
4
8
0
0
4
4
4
1
40
40
24
0
8
8
8
8
8
8
12
16
16
8
8
8
12
24
0
8
8
8
8
8
8
8
8
8
8
0
8
8
8
12
20
20
20
0
0
8
0
24
24
1
8
8
16
16
0
0
8
4
4
4
4
0
8
8
8
8
4
4
16
16
16
8
8
16
16
16
16
16
9
1
1
4
16
16
8
0
16
1
1
1
1
0
0
8
8
8
4
16
20
16
16
16
16
8
0
4
12
4
6
6
1
1
1
1
1
1
1
1
22
22
4
16
16
16
0
0
16
16
27
27
0
0
0
0
2
2
2
0
0
0
8
8
0
0
16
16
0
2
2
2
24
24
0
8
32
32
32
32
16
16
16
16
0
8
8
8
8
8
16
16
16
1
0
0
4
4
16
26
24
24
0
0
0
0
0
16
16
16
16
16
8
0
8
8
8
0
0
16
0
0
0
2
8
8
8
10
8
8
8
8
8
8
17
17
17
16
16
16
16
0
0
4
9
8
8
8
8
8
8
8
0
0
0
8
0
0
2
18
18
16
2
2
2
18
24
8
16
8
16
24
0
0
0
0
8
8
16
0
0
0
0
1
1
1
8
8
8
8
8
4
8
8
2
2
8
8
16
16
16
16
32
32
32
32
32
16
1
8
20
20
4
4
4
4
0
4
4
0
0
0
16
4
16
22
2
0
0
0
2
16
2
2
2
8
8
8
0
0
0
8
16
2
2
2
8
4
8
8
0
4
48
32
32
24
24
24
20
20
20
20
24
0
8
8
8
8
8
4
4
4
4
4
2
6
4
2
2
2
8
40
2
8
0
2
2
0
29
8
8
8
8
8
8
8
8
8
8
8
8
16
16
16
32
52
32
32
32
16
8
8
8
8
4
8
12
12
16
16
16
16
0
16
16
4
8
8
8
8
8
8
0
0
0
8
8
1
1
0
0
0
4
4
16
0
8
8
8
8
12
12
8
0
16
1
1
1
8
1
1
1
8
1
1
8
8
8
28
0
16
32
32
32
0
0
12
8
0
16
18
18
18
0
16
8
8
8
8
8
0
16
16
0
0
0
0
0
8
8
4
4
4
4
4
16
0
0
32
32
32
32
32
8
8
8
16
16
16
12
24
8
8
8
8
8
8
0
8
8
2
2
2
4
4
8
0
0
4
4
4
4
4
16
0
0
0
0
0
0
8
1
11
1
1
8
0
16
8
8
18
18
18
0
0
48
8
8
8
8
8
8
8
0
8
0
0
8
8
16
16
16
8
8
27
24
24
24
24
0
8
0
2
18
16
16
16
16
8
17
0
4
1
11
32
0
8
8
8
8
8
8
8
24
32
8
8
8
8
8
16
16
8
8
8
0
8
8
8
8
8
8
16
16
16
8
8
8
8
8
0
0
16
17
0
8
8
8
8
8
8
8
0
16
0
0
8
8
8
24
24
4
4
0
4
4
4
4
16
16
16
16
16
2
4
2
10
16
4
1
16
16
16
8
8
8
8
0
0
8
8
8
8
8
8
8
8
8
4
4
6
4
4
8
0
0
0
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
0
0
16
16
16
16
16
16
16
8
8
8
40
16
16
0
0
1
8
1
1
1
8
8
24
16
16
16
8
16
16
16
16
8
2
2
2
1
1
1
1
1
8
8
8
16
16
16
8
8
8
0
0
0
2
2
0
0
18
18
18
0
0
0
0
0
0
8
8
8
24
24
18
18
12
8
24
0
8
8
8
8
16
16
16
16
16
16
8
1
1
20
0
8
8
32
32
8
8
0
1
1
1
1
8
32
4
4
0
0
8
8
8
16
16
0
8
8
8
8
40
8
8
1
8
1
1
8
1
1
32
16
24
24
16
16
8
8
8
8
16
16
0
0
0
1
5
4
4
4
4
4
4
4
4
4
4
4
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
1
9
8
8
8
8
8
8
0
0
0
32
32
0
16
16
20
24
28
8
8
4
8
8
4
12
4
8
8
8
8
32
0
0
8
8
0
0
4
20
0
0
0
0
8
16
0
16
16
16
4
4
4
4
4
4
1
1
16
16
16
16
16
16
1
1
1
2
2
2
2
28
28
0
0
9
16
0
0
8
8
16
16
24
24
24
16
16
16
16
0
0
4
4
4
4
4
8
8
8
8
2
2
4
4
24
56
56
0
0
0
0
0
0
32
8
8
8
8
8
8
0
0
0
8
8
8
8
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
16
48
16
16
0
4
4
4
4
16
8
24
24
2
8
8
8
8
16
0
0
0
0
16
16
16
16
1
1
1
1
16
16
16
16
8
16
24
16
4
4
0
0
0
0
8
16
4
16
16
16
0
25
25
25
25
0
4
16
16
16
16
2
2
16
16
8
8
8
8
8
8
8
16
8
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
40
0
0
0
1
1
20
0
16
8
24
17
17
2
2
28
28
28
28
28
16
28
8
16
18
18
18
16
16
0
8
8
8
8
8
2
18
8
26
4
24
2
2
8
8
8
8
8
8
8
8
1
1
8
16
16
22
0
8
16
16
0
0
0
8
8
0
0
0
0
8
8
8
8
8
8
8
49
49
49
49
12
0
0
0
0
0
16
8
4
1
8
16
8
8
8
8
0
8
8
1
18
2
2
2
4
4
16
16
16
0
0
0
0
1
8
1
1
16
16
16
16
16
16
8
8
8
16
0
36
24
8
8
8
8
8
8
0
0
0
0
1
1
1
8
2
2
16
50
2
2
8
8
8
8
0
8
8
8
0
0
8
0
0
8
0
0
2
2
12
8
16
16
16
16
8
0
24
8
8
16
16
16
8
24
8
8
16
56
4
8
20
4
4
4
4
8
8
8
8
8
8
8
8
32
1
1
16
16
16
8
8
4
0
0
0
0
1
1
0
24
16
32
16
2
4
4
4
4
4
16
16
16
8
8
8
33
8
8
8
8
8
8
8
5
8
8
4
4
4
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
16
16
16
16
16
0
16
16
16
16
1
1
1
1
8
8
8
8
2
0
0
0
0
2
8
0
0
2
2
8
40
24
24
4
16
16
16
16
16
16
16
8
8
0
8
8
8
8
0
0
1
1
1
1
1
0
0
0
8
8
8
8
4
0
0
8
8
0
0
8
8
8
24
8
0
8
8
8
1
16
16
0
0
0
8
1
1
1
12
12
12
12
0
2
2
2
10
0
16
16
16
16
16
16
8
16
8
16
16
0
17
1
0
0
0
32
32
32
32
32
32
16
16
16
16
0
0
0
0
0
0
0
0
0
9
8
8
8
8
48
48
48
48
48
48
12
12
16
4
4
4
2
2
2
2
2
2
2
0
16
16
8
8
8
8
8
8
8
8
8
4
4
16
48
32
32
32
32
32
32
33
32
8
8
3
19
3
41
41
2
2
18
4
4
4
18
4
6
0
8
8
0
0
0
0
8
8
8
8
8
16
0
8
16
8
8
8
8
8
8
32
8
9
8
4
0
8
8
1
1
1
1
1
0
0
0
8
8
8
0
2
2
8
8
8
16
1
4
1
24
1
1
8
4
16
8
8
8
16
16
1
1
1
4
4
1
1
1
17
16
24
16
16
2
2
16
9
16
24
16
8
0
0
4
8
8
8
8
8
1
4
0
16
16
4
4
0
16
16
16
17
4
4
0
4
32
4
20
0
0
0
0
24
16
2
2
16
16
16
16
16
16
16
8
8
8
8
16
16
16
40
16
24
0
0
0
12
12
8
8
8
0
16
16
16
8
16
0
19
16
2
1
16
16
8
0
8
8
8
0
0
1
1
1
1
1
1
1
2
8
0
17
16
16
16
32
8
8
4
0
0
1
16
0
20
16
16
16
8
8
8
8
0
0
0
16
57
57
0
0
0
32
32
32
32
32
1
1
0
0
0
0
8
0
0
0
0
4
16
0
0
1
4
0
4
4
1
1
2
0
16
16
0
8
0
0
16
0
0
0
16
16
16
16
8
16
16
4
4
8
8
8
8
24
0
0
0
0
2
1
1
16
16
0
1
0
0
0
24
24
0
4
4
1
16
16
16
16
0
16
16
16
16
16
8
8
4
4
8
8
8
8
8
8
4
4
49
8
1
1
1
32
2
2
16
16
24
16
0
1
1
1
0
8
8
16
16
16
2
2
8
8
24
24
4
4
4
4
12
4
8
8
8
8
1
1
1
0
4
4
0
25
7
8
0
4
4
4
4
4
8
8
8
8
24
24
8
8
24
8
8
16
16
0
2
2
2
8
0
0
16
16
8
8
8
8
8
8
8
0
13
13
13
16
17
16
0
8
8
8
8
8
0
0
8
0
4
4
4
19
8
0
24
24
24
8
8
8
26
26
26
0
20
8
0
32
32
16
16
16
0
8
9
9
9
9
8
8
8
33
33
33
33
1
1
16
16
8
8
8
0
40
8
40
8
8
4
0
0
0
0
16
16
16
16
1
60
16
16
0
0
0
4
4
4
4
4
4
8
8
8
4
4
4
1
16
16
2
2
8
8
0
0
0
0
0
0
0
32
32
32
0
0
17
17
17
17
0
1
1
8
8
8
0
0
16
24
16
16
16
16
1
1
1
1
20
4
16
20
4
0
8
16
0
2
2
2
2
18
16
4
8
8
8
20
8
16
24
8
16
16
2
2
2
0
0
8
8
41
2
32
0
0
32
32
0
0
8
4
4
0
4
4
4
4
4
4
8
8
8
8
8
8
8
1
8
8
8
8
17
8
8
22
22
22
4
9
9
0
0
0
0
4
4
0
32
8
32
1
0
0
4
4
4
4
4
4
4
4
1
21
16
16
24
8
8
16
16
8
0
8
8
16
4
4
4
4
4
4
0
8
8
8
8
8
8
8
8
0
0
0
16
2
2
0
0
4
4
8
8
8
8
8
0
16
16
16
16
16
32
32
32
32
0
0
1
0
8
8
8
8
16
24
40
1
1
0
16
16
16
0
2
35
35
0
0
16
16
16
1
1
0
20
20
16
0
16
16
0
1
0
6
54
6
6
6
6
6
6
6
16
16
4
4
4
4
12
8
0
16
16
1
1
2
1
0
0
0
8
0
0
4
16
16
16
16
4
4
4
4
16
16
16
8
1
8
8
8
16
16
16
0
16
16
0
8
8
16
16
16
16
16
16
16
2
8
8
8
16
16
1
16
8
4
4
4
8
8
8
16
16
16
0
0
0
0
4
16
8
8
8
24
12
8
8
8
16
16
16
16
16
16
16
16
16
16
16
0
16
16
16
16
16
16
2
16
4
4
0
4
4
1
1
1
1
6
22
6
16
0
1
1
17
8
8
2
2
7
4
2
2
2
2
2
2
32
8
4
4
8
32
16
16
28
16
16
20
16
16
8
8
8
0
16
9
16
0
0
0
12
12
12
12
12
12
12
12
12
12
12
5
5
5
5
5
5
8
16
16
20
20
20
16
0
16
16
16
16
8
8
0
0
0
0
0
8
32
2
32
2
2
24
24
24
0
0
8
8
24
8
8
28
16
16
16
16
34
34
16
16
16
0
0
4
4
4
0
32
32
32
0
0
4
4
0
2
2
2
2
2
0
0
4
4
1
18
18
18
18
8
8
8
16
16
8
8
8
16
16
16
8
16
16
1
1
8
8
8
8
9
4
4
4
4
4
8
8
8
1
1
1
1
16
16
16
4
4
4
4
1
8
8
8
8
0
8
0
0
8
8
12
8
16
16
32
2
2
2
8
8
1
1
1
1
1
16
16
16
16
16
16
16
16
16
8
1
8
8
8
8
8
0
16
16
16
16
2
4
4
4
16
8
8
8
16
16
16
8
8
8
8
8
8
8
8
16
16
12
12
12
32
32
32
8
8
8
8
8
8
8
8
8
8
0
0
0
2
2
2
2
2
16
16
16
16
16
16
0
1
1
0
16
16
0
0
4
4
4
8
0
4
4
4
8
8
0
0
0
0
0
8
8
8
8
8
8
8
8
8
4
4
28
0
16
16
1
0
0
8
8
8
0
32
8
8
8
8
8
0
8
8
8
8
8
8
4
8
8
16
16
16
16
16
16
16
16
16
16
0
0
0
1
1
8
0
2
0
4
4
4
4
4
4
8
0
4
4
4
2
2
8
8
8
4
8
8
8
8
0
9
9
0
8
8
0
16
16
28
16
0
17
24
24
26
10
0
8
8
13
13
24
0
0
0
0
0
8
8
16
16
8
8
8
0
1
21
21
21
0
0
16
16
4
0
4
4
4
4
2
8
16
4
4
16
16
16
16
9
16
25
0
16
12
8
0
0
0
1
1
1
1
1
4
4
4
4
0
0
1
1
1
0
0
0
1
16
8
8
8
16
16
2
2
2
16
16
16
8
8
8
18
18
18
18
18
24
16
16
8
8
0
0
0
41
41
2
2
2
2
0
0
0
4
4
4
0
6
6
22
6
6
0
16
17
16
8
8
8
8
17
25
26
16
16
16
16
0
0
14
32
32
32
32
32
36
36
36
2
8
9
9
16
8
13
8
1
1
1
1
1
8
8
8
8
8
16
8
4
11
1
16
8
10
8
8
8
8
8
8
6
8
14
6
24
8
26
16
24
16
18
2
2
2
36
36
36
4
4
8
12
12
12
4
4
4
4
4
16
0
8
8
8
8
4
4
4
0
16
16
16
4
4
4
4
4
4
4
16
8
24
16
8
4
0
1
1
0
0
0
0
16
16
41
41
8
8
8
8
8
8
0
5
5
0
16
0
8
8
8
8
2
24
24
2
0
0
0
0
16
16
16
0
8
8
8
16
16
16
16
16
16
8
8
1
1
1
2
2
8
8
8
16
16
8
8
8
24
8
8
16
16
4
4
16
1
1
1
1
8
8
17
1
16
16
16
16
8
8
8
16
16
16
16
16
0
8
8
8
8
32
32
1
4
4
4
4
60
8
8
12
8
8
8
0
0
8
8
8
8
24
24
24
2
0
0
0
1
1
1
1
24
2
2
0
4
0
0
2
2
2
2
8
8
0
4
4
16
16
16
16
16
16
16
16
16
16
16
16
0
0
0
24
16
16
16
16
0
0
32
32
32
0
4
4
8
16
10
8
8
8
8
24
8
8
4
0
0
2
2
2
56
25
0
16
8
24
16
4
4
4
0
0
0
0
0
4
8
12
8
4
8
8
24
8
2
4
4
4
1
8
8
8
8
0
0
0
8
8
16
1
16
16
16
16
8
8
24
24
4
4
32
8
0
8
16
16
16
8
8
8
8
8
8
8
8
8
8
4
12
4
0
16
16
16
16
16
32
32
4
8
8
8
8
8
8
8
2
2
40
0
24
16
16
24
16
17
17
4
4
4
16
0
44
44
44
1
1
1
2
2
2
2
32
32
32
32
32
32
32
32
2
8
8
8
8
16
24
24
8
12
12
8
8
8
0
24
0
0
8
4
0
0
0
0
8
8
32
8
8
8
8
1
0
0
0
0
8
8
8
8
8
0
0
0
0
1
1
1
1
1
16
16
16
16
29
20
29
0
2
2
8
8
0
12
8
4
0
0
16
8
1
1
2
1
0
8
8
8
8
8
8
8
1
16
16
60
60
60
0
2
8
48
48
48
48
0
0
0
8
8
0
12
8
8
24
8
8
8
8
8
8
8
8
8
0
8
1
8
8
8
8
0
0
1
8
16
16
16
16
16
16
0
16
17
2
2
2
2
0
1
1
1
1
1
16
32
32
32
1
1
3
0
0
16
16
8
8
24
8
8
0
0
16
16
8
8
8
0
0
8
8
8
8
20
4
4
4
2
2
0
0
0
2
18
4
8
4
8
8
8
8
8
2
2
2
2
56
56
4
4
50
24
0
16
16
0
0
8
8
0
0
4
4
4
4
0
0
0
0
8
8
8
8
8
8
8
8
20
20
16
16
0
32
32
1
1
20
8
8
8
8
8
8
24
16
8
8
4
16
4
0
0
8
0
0
0
0
0
2
12
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
4
8
8
0
16
18
16
0
8
8
1
3
3
1
4
1
16
25
16
16
0
0
0
3
2
16
16
16
16
8
8
8
8
8
0
4
4
4
0
0
4
12
4
4
16
4
8
16
1
1
1
8
8
8
8
0
0
0
8
8
8
8
8
8
0
16
16
4
16
16
16
1
8
8
8
8
16
16
16
2
4
4
0
24
8
4
0
0
20
8
8
8
8
8
8
0
0
0
8
8
8
8
8
8
8
8
8
9
8
8
8
8
8
8
8
16
16
16
16
0
8
4
4
4
8
8
18
18
16
0
2
8
8
8
8
8
16
2
2
2
0
4
2
2
2
2
0
27
1
1
1
0
0
8
36
32
32
41
16
57
57
8
50
16
8
8
8
0
0
0
0
0
0
0
0
4
16
16
32
0
8
0
1
4
0
0
16
6
54
8
8
16
24
4
4
0
8
8
12
12
8
8
8
8
32
8
8
0
4
1
8
8
8
1
1
1
0
0
8
0
16
16
16
16
0
0
0
16
16
16
16
8
8
1
1
1
1
1
8
8
0
0
2
2
8
8
8
16
4
8
8
8
8
0
8
8
2
16
4
4
1
1
1
20
1
8
8
8
0
8
16
16
16
16
8
8
8
8
8
4
4
4
4
3
3
3
3
1
0
0
0
16
16
16
16
16
16
0
16
16
16
24
24
16
16
16
16
16
16
16
16
8
8
8
8
8
0
0
1
8
8
16
0
16
16
8
8
8
8
8
8
4
4
4
4
2
2
8
8
8
0
16
16
4
4
4
4
16
1
16
16
16
0
0
0
0
8
40
8
8
16
2
18
24
24
24
24
1
1
1
1
1
16
16
16
2
8
1
1
8
8
8
8
8
8
8
8
4
4
57
2
2
8
8
8
8
2
4
1
2
16
24
28
24
24
8
8
24
8
0
0
16
0
0
0
0
0
0
32
4
0
16
4
4
32
1
32
32
8
8
8
1
1
0
16
22
4
4
22
4
4
4
4
4
4
4
4
4
0
0
8
8
8
0
8
8
8
8
8
8
24
8
8
8
8
8
8
8
8
25
25
16
16
8
16
2
2
2
2
0
0
24
8
8
16
8
16
8
8
8
0
0
0
16
16
16
24
24
8
16
16
8
4
28
28
4
1
1
1
1
0
0
0
0
0
0
0
16
0
0
8
42
8
0
0
0
8
8
16
16
16
16
16
32
16
16
0
0
16
16
8
16
2
2
4
4
0
0
0
0
8
8
0
6
6
16
0
0
8
8
0
0
0
28
12
8
8
8
8
8
20
8
8
8
16
17
16
8
0
24
8
16
16
16
0
16
16
16
16
2
12
4
8
8
8
8
8
16
16
6
0
8
16
8
12
0
0
0
0
0
16
16
16
16
0
8
8
0
1
1
5
4
36
16
4
4
4
4
16
1
0
0
0
0
0
42
2
2
2
2
2
8
8
8
18
2
0
0
0
8
8
10
10
26
10
10
10
10
10
25
2
27
12
12
12
8
8
16
4
4
4
4
4
16
1
8
8
8
28
4
4
4
4
1
32
16
13
0
0
16
0
1
32
32
8
2
2
0
16
8
8
8
32
32
32
4
4
4
4
0
16
28
16
1
1
1
4
8
8
16
16
16
16
0
8
16
8
24
8
8
0
32
32
32
0
0
16
17
16
8
0
0
0
8
8
8
0
0
0
8
8
8
8
8
4
0
0
0
8
8
8
8
8
8
8
8
8
8
4
6
16
16
17
17
1
16
16
18
12
8
8
8
8
8
8
4
4
24
8
16
8
8
0
24
24
0
0
0
0
0
0
1
1
1
1
1
8
0
8
8
8
8
8
0
0
0
20
16
16
16
16
16
16
0
8
8
0
9
32
8
8
8
8
2
0
8
8
8
0
8
8
8
8
1
30
16
24
24
16
12
12
12
16
16
2
2
0
2
10
6
2
2
48
48
48
16
0
4
4
1
0
0
4
8
8
8
8
8
8
2
2
6
2
8
8
17
17
2
2
16
16
16
0
0
0
0
2
2
2
17
17
17
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
32
4
4
4
4
4
18
1
1
0
8
8
18
18
18
18
4
0
2
2
16
16
16
48
2
8
8
9
9
2
16
40
8
8
1
0
8
8
0
0
0
0
0
1
1
0
0
0
0
16
16
8
2
8
8
16
16
16
16
16
16
0
0
8
16
0
8
8
8
32
0
0
0
1
16
32
41
8
17
1
16
17
8
16
16
19
0
8
8
8
8
0
2
2
2
16
2
2
2
2
2
24
8
16
28
52
52
8
8
8
8
0
0
8
8
4
2
2
0
8
0
8
0
16
24
16
24
16
16
16
16
2
2
2
2
2
2
2
24
8
8
8
8
8
8
8
8
8
8
8
16
16
8
8
16
4
2
2
2
2
8
8
8
32
32
32
0
0
4
4
4
33
33
33
1
1
4
4
4
41
33
33
16
16
0
0
0
0
8
0
0
0
0
4
4
8
8
1
8
16
8
24
16
16
1
1
16
16
16
16
1
9
9
9
16
16
16
16
16
0
0
0
16
16
16
8
8
16
24
1
8
8
0
0
8
4
4
4
16
8
16
16
32
1
32
32
32
32
0
0
0
0
0
0
24
8
0
0
56
48
48
48
48
48
4
4
4
2
2
4
32
0
0
0
8
21
1
9
9
8
8
8
8
8
8
28
8
16
16
16
16
16
16
16
0
0
16
16
32
32
4
4
4
4
22
22
22
0
8
8
8
0
8
8
0
16
16
16
16
16
4
29
2
2
2
1
1
0
0
0
0
16
16
16
16
16
16
16
0
0
0
16
16
16
4
4
6
0
0
0
0
0
8
16
32
8
8
40
8
8
8
8
8
8
8
4
4
4
0
1
1
1
1
8
24
9
1
0
4
1
8
8
1
1
1
21
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
16
16
8
8
20
16
4
12
4
0
0
0
0
8
8
8
8
0
16
16
16
16
16
16
16
16
16
16
16
16
4
8
8
8
8
8
8
8
8
8
2
2
2
2
0
0
17
2
0
1
1
1
1
25
1
1
24
8
16
16
0
8
8
1
3
2
0
16
16
0
0
0
16
24
0
1
1
1
1
16
16
16
16
16
8
16
1
16
16
0
0
1
1
10
8
8
8
33
16
24
8
8
8
0
0
8
8
8
1
1
8
8
8
8
8
8
8
8
8
2
10
0
12
12
12
16
16
16
16
20
24
16
20
16
0
0
16
8
8
8
17
17
17
17
16
0
0
0
8
8
24
24
0
0
8
16
2
1
1
1
1
1
16
1
1
0
0
8
13
9
16
16
16
16
16
9
9
0
4
4
4
4
8
8
8
8
8
8
1
1
1
1
11
11
24
0
0
0
16
8
8
8
17
17
16
16
16
41
16
16
12
16
0
0
0
8
8
8
2
4
1
1
1
16
0
8
8
1
1
1
1
1
1
8
8
16
16
16
22
8
8
8
8
8
8
8
8
8
10
2
2
17
1
1
24
24
24
24
24
12
8
8
8
8
8
8
2
2
2
2
2
16
16
16
16
16
16
16
16
33
4
8
4
4
2
2
16
0
16
16
0
12
8
1
16
16
16
16
16
20
33
33
0
16
16
0
0
4
4
0
0
0
0
0
0
0
0
12
2
8
8
8
8
8
32
0
8
8
8
8
8
8
8
8
8
2
2
2
8
8
0
0
0
0
16
28
8
0
8
8
8
8
8
16
0
0
4
4
4
4
24
24
24
16
16
0
8
0
0
0
8
8
2
2
16
8
8
16
8
8
8
8
8
8
16
16
16
4
0
0
4
4
4
4
4
4
4
4
4
16
16
8
8
8
32
32
0
8
16
16
32
32
32
32
32
28
8
8
8
9
8
8
8
8
8
32
32
0
8
4
0
0
0
0
32
32
32
32
32
32
8
4
4
1
4
4
4
4
19
8
8
2
16
18
18
9
9
8
0
16
8
8
8
8
0
32
16
16
16
16
16
0
0
0
17
8
0
0
8
0
32
0
0
16
8
0
2
2
2
2
2
2
0
0
0
24
0
0
8
8
16
16
16
16
0
0
16
4
16
16
0
16
60
8
8
6
0
0
0
8
1
0
8
0
0
4
38
38
32
0
0
16
16
0
0
16
16
8
20
8
8
8
8
8
8
8
8
8
8
8
32
1
16
32
32
32
32
32
0
16
16
16
4
4
16
16
16
8
16
16
16
4
4
4
8
4
12
12
0
0
8
8
4
4
16
1
1
1
1
36
36
16
20
20
1
9
8
0
0
0
0
8
8
8
26
2
8
8
8
8
20
20
20
8
0
8
4
0
8
0
8
8
8
8
8
8
8
8
8
8
8
8
8
57
57
24
8
8
16
16
16
16
16
16
16
16
16
16
4
12
8
8
8
4
4
4
4
4
17
8
8
8
16
0
0
0
8
16
16
16
16
1
4
4
8
8
8
8
8
8
16
12
12
0
10
2
2
2
0
1
17
1
1
1
1
8
28
8
0
0
0
0
4
4
1
1
1
8
2
32
0
16
16
16
16
16
16
16
8
8
8
8
1
0
0
8
8
28
0
32
32
34
8
8
8
16
16
16
16
16
4
4
0
16
16
2
8
8
8
8
8
8
16
16
16
8
8
8
8
16
16
16
16
16
0
0
0
2
18
2
2
2
2
0
8
20
16
4
8
16
16
8
8
4
8
0
0
24
24
24
8
8
8
0
0
24
0
0
0
0
24
8
8
0
16
24
0
8
8
8
8
8
0
0
0
0
0
0
0
16
16
4
4
32
32
32
32
8
8
0
0
16
0
8
2
0
16
16
8
8
4
4
4
4
6
6
6
0
0
16
16
24
0
0
0
8
0
0
7
7
7
7
16
4
4
24
24
8
25
16
16
8
32
32
32
32
8
16
24
24
8
16
16
1
1
0
8
8
16
16
0
1
1
28
2
16
8
8
24
16
16
16
16
8
0
0
0
8
4
8
0
4
4
4
1
1
8
8
0
8
8
0
0
0
16
16
16
16
16
0
0
0
0
8
8
8
8
8
8
8
8
8
28
0
8
8
32
32
8
8
24
0
0
32
8
8
8
8
8
0
0
0
0
16
8
8
1
1
1
1
1
8
0
8
8
8
0
0
8
24
8
17
17
8
8
6
6
6
0
0
0
8
8
4
1
16
16
16
18
16
16
18
18
18
18
0
8
8
16
24
2
2
0
4
4
4
1
8
8
8
16
16
24
16
16
0
8
2
2
4
8
0
4
4
4
0
1
9
16
16
16
16
16
4
4
16
0
16
16
0
0
0
8
0
16
16
16
16
16
16
8
4
4
20
4
0
0
24
8
24
24
8
16
8
8
9
8
8
8
8
8
8
8
8
8
16
16
8
8
0
0
48
16
16
4
4
4
4
0
0
0
0
4
0
8
0
0
4
8
8
4
4
4
4
8
8
8
20
9
8
9
9
0
16
16
16
16
8
8
0
12
12
12
8
8
8
8
8
8
16
8
8
8
8
8
8
0
0
0
0
16
16
1
25
1
1
16
2
2
2
8
0
0
8
8
8
8
0
0
0
0
0
0
0
0
24
0
1
1
0
24
24
8
8
14
14
14
14
4
16
16
16
16
8
16
16
8
8
0
0
8
8
0
0
0
8
4
0
0
16
8
8
8
8
8
12
12
18
2
2
24
24
18
18
18
18
1
8
8
8
2
2
2
2
16
16
0
18
2
16
8
0
16
16
16
16
0
0
0
0
16
16
16
0
2
2
2
2
2
16
8
8
8
8
12
12
0
0
0
1
1
1
1
11
11
8
1
8
8
0
1
1
8
8
8
8
8
8
16
16
16
16
16
1
16
0
0
24
0
8
16
16
8
8
16
16
16
16
16
16
16
16
16
4
4
4
16
0
8
24
8
1
1
1
8
8
0
8
8
8
8
4
4
4
1
1
1
8
16
16
16
16
16
8
16
8
8
2
2
2
2
2
2
2
8
8
8
20
20
20
20
20
20
20
2
10
10
8
16
16
16
16
16
24
16
16
8
8
24
8
8
8
8
8
8
8
8
14
14
0
0
0
24
24
24
24
0
4
12
8
8
0
16
16
16
16
18
18
8
8
16
2
2
2
8
2
8
8
4
8
4
16
16
16
2
24
16
16
0
0
8
8
0
0
8
0
0
4
4
34
42
0
8
8
16
16
16
16
16
16
0
4
4
4
8
8
8
8
8
8
8
4
16
24
0
28
28
8
16
16
16
16
16
16
8
8
8
8
2
0
56
8
8
22
22
32
33
0
8
8
8
6
8
8
8
24
2
2
0
8
8
8
16
16
16
0
16
16
4
4
16
16
16
16
8
8
1
0
0
8
8
2
2
2
2
8
0
4
4
0
8
8
8
0
4
8
8
8
8
8
8
8
0
7
2
4
4
0
8
24
28
24
24
0
24
8
8
1
1
1
1
4
16
16
16
16
16
16
8
16
24
24
24
24
0
20
8
2
2
2
2
16
16
16
8
8
8
8
4
1
1
1
8
8
8
0
32
32
0
2
2
8
8
8
0
0
0
0
0
0
8
8
8
1
0
0
0
0
0
0
8
0
0
0
8
40
8
8
8
8
8
8
8
8
8
8
8
0
1
1
9
0
16
16
16
16
16
16
16
0
0
9
24
24
24
41
1
60
0
21
21
1
1
1
8
8
8
8
24
16
16
16
8
8
4
8
8
8
1
16
1
1
1
1
1
1
2
8
8
16
12
16
0
16
16
20
20
20
20
8
0
8
8
8
24
24
24
24
24
8
9
8
8
0
0
8
8
8
8
8
2
2
8
8
16
8
8
8
8
8
16
0
0
8
8
8
0
0
8
8
8
8
8
8
8
24
4
2
8
8
8
8
8
8
8
16
16
16
16
0
1
1
1
1
1
4
4
0
40
0
8
24
8
4
0
0
0
24
24
24
8
8
8
9
0
8
8
8
8
8
8
8
8
8
8
0
0
1
1
16
17
4
4
4
8
8
8
32
32
2
2
2
2
2
8
8
8
8
8
8
8
8
8
8
8
48
16
8
8
8
0
0
0
1
1
4
4
4
4
0
0
0
8
0
0
49
49
16
16
24
24
8
9
9
0
0
16
0
8
8
8
8
8
8
8
8
4
4
4
4
16
0
24
24
0
0
16
16
16
16
16
1
1
1
4
8
0
0
8
4
4
4
4
6
6
8
0
2
8
1
60
8
8
0
11
8
8
8
8
8
16
8
0
16
11
8
8
0
8
56
56
1
16
0
0
8
8
8
8
8
8
16
16
16
16
16
8
32
32
0
8
8
32
16
48
16
16
16
16
8
4
4
4
8
8
16
16
16
8
20
20
8
8
0
0
0
8
8
8
25
25
2
4
8
0
0
16
16
16
16
4
4
8
8
8
1
9
9
8
8
16
0
0
16
2
16
16
16
0
0
0
8
8
8
1
8
8
8
8
32
8
0
0
9
0
0
8
2
1
32
32
32
32
32
32
32
32
32
0
0
8
8
8
16
16
0
1
1
1
1
1
18
8
8
0
8
8
28
24
0
8
8
8
40
8
8
8
8
0
0
0
4
4
4
0
0
0
0
0
2
0
16
16
16
16
16
0
0
1
8
16
16
16
8
0
8
28
28
16
8
0
2
8
16
24
24
24
24
24
24
8
8
8
8
16
24
24
1
1
17
17
22
0
8
8
8
8
8
4
8
8
8
8
8
8
4
4
0
1
1
8
8
8
16
16
16
16
16
4
4
0
24
24
24
24
4
4
0
0
0
0
1
1
8
8
0
0
4
4
4
4
4
4
4
4
16
16
16
0
16
0
8
8
8
8
1
16
16
16
0
0
16
28
16
16
16
16
8
8
8
8
8
8
8
1
8
8
8
8
8
24
16
16
16
8
8
16
8
8
16
8
8
25
16
0
8
8
8
8
8
16
16
16
16
16
16
16
48
8
4
4
4
18
22
4
4
8
1
1
12
32
32
32
0
0
0
16
16
16
4
0
0
48
16
16
16
1
0
0
0
8
16
16
16
16
1
1
1
1
12
2
0
16
8
8
8
8
8
1
1
1
2
8
28
28
2
2
8
8
0
0
0
0
0
0
0
16
16
16
16
0
8
8
8
8
8
8
0
0
0
0
16
16
16
16
16
16
8
1
0
0
0
16
16
16
16
8
1
9
8
16
2
2
16
16
8
0
0
32
32
1
1
1
17
17
17
17
17
17
16
0
8
8
2
44
1
2
1
16
16
0
6
16
1
1
1
17
1
1
8
8
8
8
8
8
8
32
32
32
32
0
32
44
16
16
0
0
16
8
8
8
8
24
24
24
8
8
8
8
8
8
8
8
8
8
8
4
4
4
8
8
0
16
16
4
4
0
0
4
0
0
8
16
16
4
17
16
1
17
17
4
1
2
3
2
24
24
16
8
0
8
8
12
8
8
8
8
8
0
1
1
12
8
8
8
8
8
8
4
7
4
8
8
16
32
48
16
0
0
0
8
8
8
24
24
24
0
8
8
8
8
16
16
16
8
16
8
16
16
16
24
0
8
8
8
16
16
1
0
2
16
8
24
16
16
16
16
16
24
16
16
16
16
18
16
0
0
0
0
8
8
4
1
2
1
0
4
4
4
0
0
0
0
24
24
24
24
24
20
20
20
4
8
30
28
12
4
4
4
20
20
1
57
16
16
16
4
4
16
16
8
8
8
8
24
8
8
8
0
8
28
0
0
0
8
8
0
0
0
4
0
16
16
16
16
16
16
53
16
16
16
16
16
16
8
8
8
8
0
8
8
8
0
28
8
8
2
2
0
0
0
19
19
19
1
1
1
0
8
8
4
1
16
16
16
16
16
16
4
8
8
24
0
8
32
32
0
0
0
0
8
8
4
4
4
4
4
8
8
8
8
8
0
0
24
8
8
8
8
8
12
24
24
24
8
8
8
4
0
0
8
44
8
8
8
0
0
0
8
8
56
56
56
2
2
16
16
0
8
8
8
8
8
16
4
16
4
8
9
8
8
0
0
1
0
0
1
2
2
2
2
0
0
1
16
17
8
16
24
24
8
8
1
1
16
8
8
8
8
8
8
8
8
8
4
0
0
8
16
8
8
8
8
24
24
16
1
1
16
17
16
0
8
16
16
1
0
8
8
1
22
22
22
22
0
16
0
8
8
8
0
0
0
16
1
0
0
1
1
8
12
12
12
4
12
1
8
8
8
37
4
4
6
6
2
1
1
1
24
8
8
16
16
4
8
8
8
8
8
16
16
56
56
16
16
16
0
0
8
8
24
0
0
0
16
16
16
16
16
10
0
8
8
8
8
8
8
8
8
0
0
8
1
1
2
16
2
19
19
17
2
2
0
0
0
25
32
32
32
32
32
57
57
4
4
8
8
8
8
8
8
0
16
16
16
8
28
0
16
24
8
8
16
16
4
16
28
16
60
16
16
0
0
16
16
0
8
8
8
16
16
16
16
16
16
16
0
8
4
4
0
4
8
17
16
24
16
0
0
0
24
32
56
32
32
32
32
32
0
0
24
0
16
16
9
9
9
0
0
0
0
0
0
0
0
0
0
1
16
8
16
16
16
16
8
8
8
8
0
0
0
1
1
4
5
1
0
8
0
4
4
1
1
1
1
1
1
8
8
8
8
8
8
20
20
20
20
20
0
0
16
16
16
0
0
0
16
16
24
24
24
16
8
8
8
8
4
26
26
26
16
0
0
1
1
8
8
32
0
0
32
4
0
0
16
16
16
8
0
0
0
4
4
8
8
16
16
1
16
1
16
0
8
4
2
2
8
16
16
24
24
18
18
8
0
0
4
8
8
8
8
8
24
8
8
8
28
8
16
8
8
8
16
8
8
8
0
2
2
8
8
8
8
8
1
0
0
8
8
4
4
2
16
16
16
16
24
8
8
8
16
16
16
1
1
1
1
1
1
16
16
16
16
8
4
4
4
4
4
8
8
8
8
0
0
0
8
8
8
8
8
8
0
16
16
16
16
20
8
0
0
0
16
16
12
0
16
16
16
0
2
2
2
4
0
0
0
16
16
16
14
8
32
32
0
4
1
8
8
8
4
4
4
4
4
32
32
32
32
32
2
2
2
2
6
6
6
6
6
0
2
0
12
12
16
16
16
62
8
8
8
32
8
8
8
8
16
16
0
0
0
8
8
8
8
16
16
16
16
16
8
8
24
8
0
16
16
0
8
8
8
8
8
8
0
0
0
0
0
8
8
8
8
0
0
0
0
0
0
8
8
8
4
4
1
1
1
4
8
8
8
16
16
16
16
0
16
16
16
8
8
8
0
4
4
0
0
16
24
24
16
16
0
8
8
16
16
40
8
4
1
0
16
4
4
4
4
16
16
0
0
16
16
0
9
8
8
16
18
18
8
0
0
0
16
16
8
8
8
8
8
8
16
0
0
8
8
8
0
0
0
0
0
0
16
16
32
0
0
8
8
8
8
8
8
8
24
24
24
8
8
8
8
16
4
4
4
0
4
4
4
0
0
2
4
4
8
8
4
2
16
32
32
32
32
32
32
0
0
8
8
53
2
2
32
32
60
16
8
1
2
2
0
0
4
4
4
4
12
12
12
0
0
1
1
1
1
1
8
8
24
16
8
1
1
8
1
1
2
1
1
16
16
29
21
21
21
21
8
8
16
16
9
8
8
17
1
8
32
32
16
8
8
0
8
8
8
8
2
3
12
12
12
12
32
32
32
32
0
0
0
0
0
0
4
4
16
16
16
8
8
0
8
8
2
16
8
0
8
16
4
4
4
4
4
16
24
16
8
0
0
2
2
2
0
8
1
16
16
16
0
8
8
8
32
32
2
8
8
8
0
4
4
8
4
0
0
0
17
1
16
16
2
2
1
1
48
32
42
42
8
16
16
20
16
0
0
8
8
8
8
8
8
16
16
16
16
16
16
16
16
16
16
0
0
8
0
0
17
17
17
17
32
1
1
0
20
20
8
4
12
4
4
4
2
16
0
0
0
16
16
16
13
16
0
8
0
26
16
8
8
8
8
8
8
8
34
34
8
8
8
8
0
16
4
8
8
18
4
0
0
0
8
0
4
4
24
8
8
16
4
4
4
1
1
4
16
16
16
2
0
4
2
2
0
0
0
0
0
4
4
4
8
55
1
1
4
4
8
8
8
8
16
0
16
16
16
0
0
40
16
32
32
32
32
2
2
2
2
8
8
8
8
0
0
0
0
16
1
1
1
4
16
8
8
8
8
4
4
16
16
8
8
4
4
32
16
16
8
4
32
32
4
4
8
8
8
8
4
4
8
8
8
16
1
1
2
2
2
2
16
16
16
16
16
16
16
8
8
1
1
8
8
16
16
16
1
5
5
5
4
0
0
0
0
0
0
8
8
2
2
2
2
16
16
16
16
16
16
16
16
0
20
16
16
16
16
16
16
16
16
16
20
52
32
0
32
32
32
32
0
0
1
1
1
1
1
0
8
8
8
0
2
0
8
8
8
8
6
6
8
16
16
8
8
8
8
8
5
13
5
4
4
4
4
4
8
8
2
2
2
44
2
32
32
32
32
32
24
24
24
16
0
16
16
16
16
16
8
8
17
17
4
4
4
4
1
0
0
0
0
0
0
8
1
17
4
0
4
4
4
1
1
1
1
4
4
8
2
2
2
2
2
16
16
16
24
8
8
0
8
8
8
16
16
16
16
8
8
8
16
16
16
16
16
8
8
8
8
0
0
16
16
16
8
8
17
17
17
7
7
8
2
16
0
0
0
4
4
8
16
14
8
1
36
8
1
9
9
8
8
24
24
8
8
8
8
24
16
0
0
16
8
8
16
0
20
16
32
32
8
8
16
4
4
4
4
24
24
24
24
24
16
24
17
17
0
1
0
0
8
8
8
8
8
8
16
16
16
16
8
8
4
4
4
8
2
2
2
0
16
16
24
32
24
24
24
0
8
8
8
6
8
23
16
8
8
24
24
0
8
8
8
8
0
16
8
0
0
0
0
0
32
8
8
8
8
8
0
0
8
8
8
8
16
16
16
4
4
4
2
2
2
0
0
0
6
4
16
8
0
0
0
0
8
8
0
1
16
16
16
16
16
16
0
4
4
8
8
8
8
6
6
20
20
20
0
2
2
2
2
2
4
8
0
24
24
0
8
4
16
4
0
0
0
8
0
0
0
16
0
0
0
8
20
0
32
32
32
1
1
8
4
16
16
4
4
4
4
8
8
8
8
0
0
0
0
8
16
8
31
21
21
4
0
0
0
0
0
8
8
8
0
4
2
2
2
8
16
16
32
32
32
32
2
2
8
8
8
4
12
4
20
4
16
8
8
8
8
8
8
16
16
0
0
8
16
0
8
8
8
8
8
1
16
4
4
4
4
16
16
16
16
20
1
1
8
8
8
8
8
8
8
0
8
8
32
32
32
44
32
32
32
32
32
0
16
8
0
8
8
8
8
16
16
8
8
8
0
0
0
8
8
0
0
8
8
4
0
16
16
16
16
16
16
16
16
16
16
16
16
1
1
17
8
8
0
8
8
8
24
0
24
8
8
8
8
4
4
4
4
4
4
0
16
48
16
0
0
24
1
24
0
8
8
8
1
1
1
0
8
16
2
1
4
8
8
32
34
16
16
16
0
1
20
20
20
2
2
2
2
2
2
0
16
16
16
16
16
16
4
4
4
16
16
16
16
16
8
8
16
16
16
16
8
16
16
16
16
0
0
0
0
0
2
2
8
16
8
4
8
8
0
0
0
8
8
8
8
8
8
32
32
4
1
1
1
1
1
1
1
16
0
0
0
8
8
1
16
16
16
4
4
1
1
8
8
8
0
16
16
4
4
4
8
8
8
25
25
0
8
8
1
1
1
8
8
8
16
16
16
16
0
28
8
4
4
24
16
4
4
4
4
4
4
1
0
0
0
2
2
4
4
16
17
1
8
16
16
4
0
0
4
4
8
0
0
2
2
16
16
16
0
0
0
8
8
4
0
0
0
0
0
0
2
2
2
2
2
8
0
16
16
0
0
0
0
0
8
8
8
26
24
16
16
8
25
8
8
8
8
16
4
4
16
16
16
0
1
1
24
24
24
24
18
10
10
2
1
32
0
8
0
8
8
8
12
8
8
1
2
0
8
8
8
16
2
2
8
8
8
8
1
2
16
16
16
8
8
32
8
8
8
8
8
1
0
0
8
8
8
8
8
8
8
8
8
8
16
16
8
24
24
24
44
60
8
8
8
4
4
16
16
4
4
0
8
0
0
0
0
20
16
16
1
5
4
4
4
4
4
4
4
0
0
8
21
16
16
16
16
1
16
16
16
16
5
8
8
16
16
16
0
0
17
17
4
8
8
8
4
8
4
4
0
16
8
16
16
16
8
8
8
0
0
25
25
25
16
16
10
10
10
10
18
0
8
8
1
1
0
0
0
8
8
8
2
1
8
8
32
32
32
4
4
21
8
8
8
4
4
8
8
1
1
0
0
8
8
8
8
0
0
4
8
8
0
16
0
12
2
0
16
16
16
0
32
32
32
32
32
24
52
16
1
1
1
0
16
16
16
8
8
8
8
16
0
0
8
8
8
32
32
32
32
32
8
8
0
0
0
16
8
2
1
4
12
0
10
0
4
4
2
4
4
4
4
0
8
16
24
1
1
1
1
16
16
16
16
16
16
0
8
8
8
8
8
8
0
0
16
16
16
16
16
16
8
8
8
4
8
0
16
16
16
16
8
8
8
0
0
8
8
8
8
0
0
1
1
0
1
0
16
16
16
24
1
1
0
8
8
8
8
8
8
8
16
16
2
2
2
8
8
16
16
8
8
4
4
8
8
0
0
0
28
8
0
57
57
57
57
57
57
57
57
57
57
57
57
57
57
57
40
40
8
8
8
8
8
16
0
0
8
1
1
1
1
8
4
4
4
4
4
4
4
4
4
8
8
16
1
16
16
16
0
16
16
16
32
32
32
0
0
0
8
8
8
8
8
24
16
16
9
20
20
0
8
8
8
8
8
8
8
8
40
8
16
16
16
0
1
1
16
1
12
9
8
16
16
16
0
0
0
0
0
0
0
8
8
0
0
0
0
16
16
16
16
16
16
16
16
16
8
8
8
8
8
4
4
4
4
0
0
0
0
0
16
0
16
32
32
8
8
8
8
0
20
16
20
4
0
1
1
1
1
16
16
16
0
8
8
8
8
8
8
8
8
8
8
8
8
0
16
16
17
16
16
16
16
8
16
16
16
0
16
16
16
16
1
16
16
12
4
8
8
32
32
32
4
2
16
16
0
8
10
16
4
8
8
8
8
37
2
8
8
8
40
40
40
8
8
8
8
8
8
3
8
0
16
2
2
0
20
20
1
32
0
8
8
16
16
16
16
8
8
8
16
17
8
4
4
4
4
4
0
8
8
8
8
8
8
2
0
0
0
12
12
12
16
18
18
2
16
8
8
2
2
2
2
18
0
0
0
2
24
16
16
8
8
8
16
16
16
16
8
4
4
9
9
16
16
16
16
16
16
16
0
0
0
5
1
1
1
0
8
8
8
4
8
28
8
8
8
8
12
28
28
28
8
0
8
8
8
8
8
8
16
16
8
0
0
12
12
8
8
32
32
8
4
16
16
16
16
16
16
0
8
8
12
16
8
16
0
8
16
8
8
0
0
8
8
32
8
32
0
8
8
24
8
8
8
8
16
16
16
16
52
52
16
16
16
16
16
16
24
0
0
0
32
32
32
4
4
4
4
0
4
4
4
4
2
2
0
16
16
2
2
8
8
8
16
16
16
16
10
4
4
4
8
48
8
8
8
25
24
0
0
2
2
18
18
22
4
1
1
16
4
4
25
1
1
1
2
2
2
16
16
16
16
4
4
16
16
16
1
1
1
1
1
16
8
16
4
4
0
0
0
16
8
16
0
0
0
0
0
1
1
4
12
16
16
16
2
2
2
2
2
0
0
8
8
8
0
0
8
8
24
8
4
8
1
1
1
16
24
16
16
12
2
16
16
2
0
0
4
4
4
4
4
4
4
8
8
8
8
8
8
16
16
16
16
16
30
30
16
16
16
8
16
8
0
0
8
8
16
8
18
0
0
4
4
56
32
16
16
12
12
6
6
8
17
17
1
1
0
8
8
8
8
8
4
4
4
4
16
2
2
0
16
16
16
16
16
16
32
4
4
4
4
4
8
8
8
5
5
8
8
8
24
8
8
8
8
8
4
4
16
0
4
2
2
2
2
2
33
16
21
1
8
8
8
20
20
1
17
24
24
25
8
8
8
24
16
16
16
8
1
8
8
8
24
24
0
0
4
4
4
4
4
24
8
2
2
2
2
2
1
1
1
24
8
0
0
0
0
0
8
8
12
4
1
32
8
49
0
0
24
2
2
2
2
8
8
8
16
16
0
12
12
8
8
8
0
0
32
32
0
8
8
4
4
4
0
16
0
0
48
32
32
32
16
16
16
0
0
0
8
16
0
0
0
0
16
16
16
16
8
8
8
24
24
17
17
17
12
8
8
8
8
8
8
8
8
8
8
8
8
0
8
8
8
1
1
1
0
48
48
8
0
0
18
24
8
8
8
0
0
0
0
8
8
16
8
8
1
0
0
0
3
27
32
2
0
0
0
18
0
0
2
2
0
0
8
8
8
32
8
8
8
8
8
8
8
8
8
8
0
0
0
0
4
4
0
24
24
24
24
8
0
0
8
13
2
2
2
2
16
32
0
4
8
4
8
16
16
16
16
8
8
8
8
0
1
12
12
1
1
8
8
8
1
0
8
8
8
8
8
8
8
16
16
16
16
1
1
1
1
1
0
8
32
32
8
2
2
16
16
24
16
0
16
16
8
8
8
8
8
8
8
8
8
8
8
8
8
0
2
8
2
2
2
10
2
2
2
6
2
2
2
2
2
2
0
0
0
8
8
16
16
16
0
2
2
0
4
8
0
0
2
4
2
16
16
0
0
2
2
2
2
2
16
16
16
0
16
20
0
24
16
16
16
16
16
0
0
8
0
16
16
8
8
4
20
16
4
16
4
4
20
0
8
8
8
8
8
8
20
20
20
20
4
4
4
18
2
8
8
8
16
16
0
4
1
16
1
16
16
16
28
0
16
16
16
16
0
4
4
16
16
0
0
0
0
0
0
0
16
16
8
8
0
8
8
8
0
0
16
16
0
0
0
0
0
0
0
0
8
8
0
0
32
32
0
16
16
16
16
16
24
24
24
0
0
0
0
48
8
8
0
0
8
8
8
8
4
4
4
4
4
4
0
16
16
16
0
0
0
0
0
1
1
1
2
2
10
26
2
48
0
16
16
16
0
0
8
8
8
16
16
24
0
20
20
2
2
2
2
1
1
9
16
4
4
0
8
8
8
8
8
16
16
16
0
16
16
0
0
4
4
16
0
0
16
8
8
8
40
40
32
0
0
1
0
0
0
0
0
8
8
8
8
8
16
16
16
16
16
4
4
1
1
1
8
8
8
8
8
22
22
8
8
8
8
8
8
2
2
8
8
8
8
0
8
8
8
20
4
16
32
32
32
0
8
8
8
4
4
4
4
16
1
1
4
1
0
0
28
28
16
52
2
2
2
4
4
4
16
16
8
0
1
1
1
16
16
4
4
4
4
4
4
4
8
8
8
17
8
0
0
8
8
8
24
8
8
8
8
8
8
8
8
16
8
8
16
16
16
16
16
16
16
16
8
8
8
8
8
8
8
4
4
4
4
4
4
4
4
16
4
4
4
4
4
1
4
0
0
8
8
8
8
8
8
8
8
8
16
16
16
8
8
0
0
16
4
0
9
33
4
4
4
1
16
8
8
8
8
8
4
4
0
8
32
8
8
8
8
8
8
8
8
0
16
32
32
32
32
8
16
8
0
0
0
8
32
16
8
8
1
8
1
16
16
18
18
6
16
16
4
8
8
8
8
24
8
0
0
2
2
8
8
8
8
8
2
2
2
2
20
8
16
16
16
16
0
8
8
11
11
0
2
6
6
6
6
16
16
16
56
56
32
32
8
1
0
8
8
8
8
1
1
0
26
8
8
8
16
16
16
16
16
16
8
8
8
16
20
8
8
8
8
0
0
0
0
0
8
8
8
16
16
16
16
16
16
16
16
0
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
8
8
8
8
8
8
8
2
2
0
16
16
16
16
16
8
8
8
16
16
16
16
16
16
16
16
0
17
8
16
16
0
0
0
0
0
24
24
8
0
0
8
24
8
8
8
4
4
8
8
4
8
8
0
16
16
16
34
34
8
34
34
0
4
4
4
16
16
8
8
8
1
1
1
1
4
4
4
4
4
4
4
8
8
8
4
4
4
4
4
14
14
14
14
8
8
8
8
24
4
0
8
8
0
0
32
8
8
8
8
8
16
16
0
0
8
8
4
0
24
24
1
1
5
0
0
8
16
16
16
16
4
4
4
4
0
8
32
32
32
32
8
8
24
8
0
8
8
8
8
8
8
0
0
16
16
16
16
16
16
0
16
16
16
16
16
16
16
16
8
8
8
8
8
8
8
8
8
8
17
40
32
0
0
16
16
16
16
16
16
16
16
16
24
24
16
8
24
16
4
0
0
16
16
16
16
24
32
32
0
0
8
8
8
10
16
0
8
8
18
20
16
6
6
6
6
6
8
0
8
8
32
0
8
8
8
8
8
0
0
0
0
16
16
16
16
1
1
4
4
4
4
0
0
8
8
8
24
16
16
20
16
1
1
16
16
16
24
8
8
16
16
16
0
16
16
16
16
1
1
1
32
8
8
4
0
0
16
16
8
41
16
16
8
8
8
3
2
3
8
8
8
2
2
2
0
0
0
24
8
16
24
17
8
8
1
1
0
8
8
8
0
8
2
1
12
2
1
1
0
0
16
16
16
16
16
8
8
8
8
8
4
4
4
4
0
0
0
0
0
8
8
8
8
1
16
17
8
8
6
6
6
6
1
8
8
8
8
8
0
0
0
0
8
8
8
0
17
17
1
16
17
17
0
4
4
4
4
16
16
2
0
8
4
0
8
8
0
0
0
16
41
41
41
41
8
8
1
1
0
8
8
8
8
8
13
4
0
0
13
13
16
16
16
16
16
0
0
0
0
0
0
0
0
33
33
16
16
16
0
0
1
16
8
0
0
0
8
8
8
8
0
4
4
30
30
30
0
0
0
16
8
0
8
8
8
0
0
8
8
8
0
0
8
0
8
16
8
8
8
16
16
8
8
8
8
4
4
0
8
8
1
16
16
8
8
8
1
0
0
0
16
16
16
32
1
1
1
2
2
2
8
8
8
8
8
0
0
0
16
16
16
16
16
8
8
0
20
8
8
8
8
0
0
0
0
16
32
8
8
24
16
16
16
8
18
2
16
4
4
16
16
16
16
16
16
32
32
16
0
0
0
0
0
16
16
16
16
16
8
24
8
8
4
4
8
8
8
0
16
16
16
24
16
16
0
0
0
0
0
0
0
12
12
1
1
1
1
1
1
1
0
0
8
8
43
43
43
43
43
43
2
2
8
16
16
16
2
6
0
4
4
4
0
0
0
16
8
8
8
0
8
8
40
0
16
18
32
8
40
8
16
8
8
16
16
8
8
0
0
24
24
8
4
1
1
4
4
4
0
18
16
0
8
8
8
0
8
8
16
16
16
12
4
0
0
4
16
0
0
16
28
0
0
0
0
0
4
4
4
24
24
8
8
8
4
4
0
0
0
8
8
0
0
8
8
8
8
16
1
1
1
17
8
32
32
4
4
0
24
16
16
16
16
16
18
18
18
0
0
16
8
8
8
8
8
8
0
0
0
0
4
0
0
16
16
42
42
8
24
8
8
0
0
0
1
19
16
16
16
0
0
0
4
4
4
8
8
16
16
8
0
8
8
8
8
8
0
16
16
16
0
16
2
0
1
4
4
2
2
16
8
16
0
0
8
8
8
0
8
8
24
16
16
0
0
16
16
16
16
8
8
8
8
0
0
0
16
16
16
16
35
35
8
8
2
2
2
8
0
0
0
0
0
0
8
4
4
4
4
0
0
32
32
32
12
0
8
8
8
8
8
18
16
16
18
18
18
8
16
16
16
16
16
16
16
16
0
8
8
8
8
0
8
8
8
16
0
0
0
0
0
0
9
8
16
16
8
16
8
0
2
2
4
25
25
4
4
4
0
0
16
16
16
8
8
8
8
8
8
32
2
8
8
2
2
2
2
2
0
16
0
8
8
16
16
16
0
0
1
1
2
2
16
16
16
16
32
32
32
32
36
1
17
16
1
16
0
1
8
8
24
8
0
0
0
0
12
12
12
12
12
8
4
4
4
8
0
21
21
8
28
28
28
0
0
0
0
4
4
4
4
4
8
8
24
8
8
8
2
1
16
16
16
32
0
0
0
0
16
24
16
8
8
8
8
8
8
6
22
16
16
24
16
4
4
4
16
16
0
0
0
8
16
16
16
16
16
0
8
8
16
16
16
1
8
8
8
0
0
4
4
8
4
4
16
16
0
0
0
2
10
3
2
16
8
8
0
0
8
8
8
0
8
0
0
0
0
4
4
4
4
0
0
0
3
16
16
4
32
32
4
8
16
0
0
0
0
0
0
16
0
0
24
8
8
8
8
24
8
8
16
16
16
2
2
2
2
8
8
8
8
8
8
1
1
1
4
8
2
0
16
18
16
4
4
4
4
8
21
1
20
2
2
2
2
0
2
2
2
2
2
1
16
0
0
0
1
1
1
0
0
8
8
8
0
16
16
16
16
8
8
32
32
32
32
32
8
8
8
0
0
8
0
0
0
0
0
0
0
0
10
2
2
0
3
0
24
16
8
0
0
0
0
4
4
4
4
8
8
0
0
0
0
4
4
0
0
0
8
8
8
8
8
8
24
24
8
0
8
0
0
0
1
17
0
1
1
0
8
8
4
4
4
0
0
8
17
17
16
8
8
8
28
8
16
4
24
16
16
0
8
8
8
8
8
8
8
16
16
16
16
0
8
9
9
0
18
26
18
8
8
1
1
1
16
16
8
16
0
16
17
16
16
12
0
0
0
0
1
1
1
0
7
7
1
1
0
0
0
0
0
0
0
2
0
8
8
8
4
0
0
0
16
16
16
16
16
16
8
8
2
4
4
4
16
16
16
16
32
32
16
2
2
2
2
2
8
8
4
4
4
8
8
8
8
8
8
0
2
2
2
2
8
16
16
8
8
8
0
0
0
0
0
9
9
8
8
8
4
0
16
8
4
4
8
8
8
24
16
16
16
16
16
16
16
16
16
8
8
0
8
8
8
8
8
8
2
2
16
16
16
16
16
16
16
16
16
8
0
28
8
16
16
0
16
4
16
8
8
8
8
8
8
8
4
0
1
1
18
1
1
1
8
8
8
8
8
2
0
0
8
8
16
16
0
32
32
32
4
4
4
4
4
4
4
50
0
0
1
1
1
1
1
1
1
0
0
0
0
8
8
24
8
8
8
1
16
16
16
16
16
16
16
16
8
8
8
16
8
8
8
8
8
8
0
0
2
2
4
16
16
16
16
16
0
0
32
32
16
24
8
8
8
8
8
8
8
8
16
16
16
16
24
24
24
1
1
8
8
8
8
8
8
0
8
8
8
8
8
8
20
8
12
2
2
2
2
8
0
0
24
16
8
2
8
4
1
0
14
16
16
16
16
16
8
8
16
16
32
32
32
0
0
0
0
0
4
20
0
8
8
8
0
36
36
16
13
13
13
13
13
13
13
2
8
8
1
1
1
0
0
0
0
8
16
8
16
1
16
16
16
0
8
0
0
0
2
2
16
0
0
0
1
1
8
8
8
16
24
2
2
2
40
8
0
25
25
8
8
8
8
0
0
0
25
16
16
16
16
16
16
16
16
16
24
4
4
0
8
8
12
8
8
0
0
0
8
8
1
1
0
12
8
8
8
12
32
32
16
16
0
0
8
1
16
16
16
8
8
16
8
8
8
8
0
2
2
1
16
8
16
32
32
32
8
8
0
16
16
16
4
20
8
8
8
8
8
0
0
0
16
16
0
16
16
16
40
8
8
8
8
32
8
24
8
8
8
16
8
1
1
1
16
0
0
4
4
8
8
8
4
8
16
8
8
8
8
8
8
8
8
8
8
8
0
0
0
0
8
8
8
44
44
8
8
5
8
8
16
0
1
1
16
0
0
16
8
8
8
24
0
0
0
0
0
4
4
0
0
0
0
16
16
16
16
0
4
4
8
24
24
24
24
24
0
0
4
12
8
8
0
16
16
6
0
45
24
24
8
8
8
8
8
0
16
8
8
16
16
16
16
16
16
16
16
0
0
0
32
32
8
12
35
1
1
0
8
4
4
0
16
16
16
16
16
4
4
16
4
4
2
0
0
0
0
1
0
0
0
0
25
25
25
4
16
16
16
16
2
2
8
41
41
41
8
8
8
0
0
8
8
8
0
8
8
8
34
2
4
4
4
0
0
8
8
0
0
0
0
8
0
6
16
22
22
16
0
1
1
4
12
4
4
4
0
0
0
16
16
16
28
16
4
46
0
4
18
8
8
8
8
18
2
2
2
12
8
9
4
4
4
0
22
22
22
16
8
8
8
8
1
16
16
24
16
2
2
2
2
4
3
3
8
0
12
12
1
4
1
1
1
0
8
18
18
18
8
8
8
0
0
0
0
0
30
30
8
8
16
2
2
0
8
8
8
8
16
17
21
21
11
2
2
2
2
16
16
8
8
8
8
8
0
0
32
0
0
2
4
4
8
24
8
8
8
8
4
4
4
8
0
16
16
8
32
32
32
16
8
8
8
8
8
8
8
8
16
16
16
16
8
16
8
16
28
12
16
16
24
0
8
8
18
2
8
8
8
8
8
8
8
8
4
8
0
60
0
8
16
4
4
1
1
1
1
32
0
1
0
16
16
16
8
0
0
0
16
16
8
8
8
8
0
0
0
0
0
0
0
16
16
16
16
16
16
16
16
0
0
8
2
2
16
8
1
1
16
16
0
0
0
4
4
4
4
0
0
0
0
0
0
0
8
16
24
24
1
8
8
16
1
1
0
8
0
0
0
0
0
0
12
12
4
8
16
8
16
16
0
16
2
12
8
8
8
8
8
8
8
8
8
8
3
3
8
8
8
8
8
8
8
8
16
8
0
16
48
16
16
16
16
16
16
0
12
12
16
16
16
16
16
4
4
16
0
0
0
17
1
17
1
1
1
1
1
1
0
8
0
8
0
0
19
19
19
4
6
4
24
1
8
32
0
1
1
8
1
1
9
9
9
0
8
8
8
8
12
4
4
12
8
16
16
16
16
16
16
16
16
16
16
16
16
16
16
8
8
4
1
0
16
8
8
8
0
8
8
8
8
8
4
4
4
4
16
16
16
16
16
16
16
0
0
0
16
4
4
4
4
6
17
8
8
17
16
16
8
32
4
4
2
4
8
8
2
6
2
2
2
2
8
12
12
12
8
8
16
16
16
16
4
4
0
20
20
8
8
16
8
8
0
16
16
10
16
16
32
2
8
8
8
8
8
8
8
8
8
8
8
0
0
6
6
6
2
1
8
8
8
0
0
8
16
32
32
2
2
8
24
0
4
4
4
2
2
8
8
16
16
8
8
8
1
1
1
16
16
16
0
0
8
8
14
14
16
0
0
16
8
24
24
24
8
8
8
4
16
16
16
16
16
18
16
16
1
8
16
16
16
8
8
0
0
1
1
1
1
1
2
8
8
1
1
1
1
1
1
1
1
0
32
32
32
8
8
8
0
0
2
8
22
22
2
2
2
26
26
2
3
2
16
16
16
16
4
20
0
8
8
1
1
1
17
0
0
16
16
16
8
8
16
16
16
8
8
8
8
8
1
9
9
1
8
2
16
16
16
8
0
8
8
8
32
32
16
0
8
8
4
0
4
4
8
8
8
8
8
16
16
16
0
8
0
0
28
16
8
8
2
1
1
1
0
1
1
16
0
0
16
4
4
4
0
8
8
8
8
8
8
2
2
0
0
0
0
0
0
1
32
8
12
2
1
1
1
1
8
8
4
8
8
1
0
32
32
32
12
8
8
8
32
32
8
8
8
8
8
0
0
2
2
2
2
2
8
8
8
8
8
8
8
8
8
8
8
8
4
4
4
32
32
32
0
0
0
0
8
8
16
1
0
41
0
0
16
16
16
16
1
16
16
4
4
27
8
0
0
0
8
20
20
0
1
9
8
8
8
32
32
32
32
32
32
8
4
4
4
0
1
1
2
3
1
24
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
8
8
16
8
0
0
8
8
8
0
0
0
8
0
16
16
16
16
16
16
8
8
14
0
1
8
8
8
40
8
2
2
2
2
2
33
1
1
32
1
1
0
0
0
0
0
9
9
9
9
8
8
8
8
8
8
24
24
1
1
1
1
1
4
1
0
8
8
8
8
8
8
8
2
2
0
8
2
2
2
2
1
16
0
0
8
8
8
2
2
2
2
2
2
17
8
0
16
4
4
10
4
4
4
4
4
4
2
2
2
2
2
6
16
16
32
1
1
1
1
32
32
8
16
24
24
2
0
0
2
2
2
2
8
6
6
2
16
16
16
8
8
8
8
8
1
0
8
8
8
32
32
16
24
8
0
24
8
1
1
0
0
16
24
24
8
24
8
32
48
32
32
32
8
8
8
0
8
4
8
8
1
1
1
0
0
4
16
16
16
8
8
0
2
2
8
4
4
8
0
16
8
8
8
8
24
1
1
33
16
16
0
0
0
0
8
8
8
12
4
4
6
2
16
4
38
0
0
16
16
0
4
4
4
4
4
4
8
1
1
8
8
8
8
8
2
2
52
1
8
8
0
32
16
40
32
16
1
51
0
0
8
4
4
4
4
8
8
0
24
24
24
24
24
1
5
4
0
16
24
16
16
28
8
8
0
0
8
8
8
8
8
8
8
16
8
16
0
0
0
32
4
12
4
0
8
8
0
8
8
16
0
4
19
8
16
16
16
27
16
16
16
16
16
2
2
8
8
8
16
0
24
17
17
8
8
8
8
8
8
8
8
8
0
1
1
8
8
8
8
8
24
16
0
0
16
16
2
2
2
2
2
0
0
1
16
16
10
14
16
16
16
16
16
0
4
4
4
8
8
8
12
9
9
9
8
8
8
8
8
8
1
1
0
0
1
1
1
1
16
8
8
0
8
16
16
16
24
24
12
12
4
4
16
8
8
16
24
0
0
0
0
40
9
16
16
0
16
16
16
0
0
0
0
0
0
16
18
16
0
4
12
12
12
8
16
16
16
16
0
28
4
2
2
2
2
2
8
16
1
8
8
8
8
8
8
8
8
8
8
1
1
1
1
16
8
8
1
8
8
0
0
0
0
0
4
4
0
0
0
1
1
8
8
8
8
25
16
16
16
8
8
8
8
8
16
16
0
17
17
24
16
24
16
16
16
4
32
4
0
0
0
16
16
16
16
32
32
0
8
4
16
20
16
16
16
0
20
28
8
8
8
8
9
12
8
0
8
8
4
4
1
8
16
16
16
16
16
16
16
16
16
16
16
8
8
0
4
0
8
16
16
20
16
16
16
16
16
16
16
0
0
6
6
6
6
6
8
4
4
16
0
0
8
20
0
0
0
1
1
1
24
24
8
0
0
8
24
8
8
8
8
20
20
0
16
16
8
1
1
0
8
8
8
8
8
8
8
8
8
0
40
40
40
0
24
16
8
0
0
32
32
16
16
2
4
32
32
1
32
0
8
8
8
8
18
16
8
16
16
8
8
8
8
13
13
16
16
16
16
16
4
4
4
16
32
32
8
8
0
0
0
32
32
16
16
16
16
0
0
8
0
8
24
8
0
8
8
4
4
4
16
16
16
0
8
8
8
8
21
5
16
16
16
16
16
16
16
16
16
16
0
32
32
32
8
8
8
8
16
16
0
16
24
8
0
0
0
0
40
40
40
40
8
32
56
8
40
17
1
4
4
8
20
20
16
16
16
16
8
8
8
8
16
8
8
8
8
8
16
0
4
4
4
5
5
1
0
0
8
8
1
0
8
8
8
0
0
0
0
0
28
29
16
17
16
16
8
8
0
33
8
8
8
16
24
8
8
8
0
0
0
8
8
8
16
1
2
8
8
0
16
6
6
0
40
40
1
1
8
4
4
4
4
4
28
0
16
16
16
16
16
16
16
16
16
8
8
24
16
4
4
16
16
16
16
18
8
8
8
0
2
16
4
4
4
4
4
16
28
8
8
8
8
8
16
8
8
8
8
8
8
0
2
2
16
1
1
1
1
1
1
16
16
16
16
16
0
1
1
8
24
24
8
16
4
16
16
4
4
4
0
0
0
0
0
0
8
8
40
40
40
40
8
0
8
0
1
1
1
8
8
2
24
8
8
48
0
8
8
16
4
6
4
4
4
8
20
8
16
2
8
8
8
8
0
0
0
8
8
8
16
2
1
3
3
3
1
16
16
1
1
1
1
8
8
4
0
34
34
34
32
0
0
0
0
4
4
0
8
4
2
2
2
16
8
20
20
20
4
4
4
4
4
4
16
16
8
8
8
4
2
2
2
2
2
4
4
2
2
2
2
2
2
2
8
2
32
8
8
8
8
8
32
8
8
8
8
8
8
8
8
8
8
0
0
0
0
8
12
12
8
24
24
16
0
0
20
8
1
1
1
8
24
24
8
22
8
8
19
16
16
1
16
8
8
8
8
16
16
24
25
16
25
9
31
4
4
9
16
0
0
8
8
24
16
0
1
16
27
27
27
24
8
1
8
8
8
0
4
4
4
4
4
4
4
4
4
4
0
0
0
0
0
16
16
32
16
16
16
4
16
8
8
0
0
8
8
8
8
8
8
17
34
2
16
16
32
32
32
8
12
8
0
0
16
4
4
4
0
0
0
0
0
0
0
16
0
0
16
16
16
8
8
16
9
0
0
4
0
0
0
8
8
8
8
8
8
8
16
16
16
16
32
32
32
32
32
32
1
1
0
12
8
0
0
16
16
0
1
1
0
8
8
8
8
0
0
4
4
4
1
1
1
1
1
16
0
56
2
8
4
20
16
16
28
8
8
8
16
16
16
8
8
8
8
8
8
8
8
2
8
0
0
0
16
16
0
16
16
4
16
16
4
0
0
16
16
0
8
0
32
8
8
8
0
2
8
33
1
1
8
0
4
4
4
0
8
4
0
16
16
8
8
8
16
16
16
4
4
4
40
32
0
0
16
0
0
0
2
1
8
0
0
0
0
0
0
2
2
2
16
16
8
8
8
1
16
17
16
8
8
8
8
8
8
8
8
8
8
8
4
4
0
0
4
4
2
2
8
8
8
8
8
8
8
8
2
0
8
8
8
8
16
16
1
16
2
2
0
2
22
3
1
2
1
1
1
8
8
8
16
16
16
0
8
8
8
8
8
8
2
2
2
2
8
8
8
1
1
17
1
8
0
0
24
16
16
16
16
2
2
28
4
4
4
4
8
8
8
8
56
16
8
0
0
8
16
0
0
1
1
1
1
0
8
0
0
0
0
2
0
4
7
16
16
4
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
1
17
16
16
24
16
0
0
0
16
4
32
32
0
16
16
8
0
0
0
0
0
4
4
8
8
8
4
8
8
8
8
8
8
8
4
2
4
4
0
0
16
16
8
8
8
8
16
16
16
16
49
49
16
16
8
16
0
8
8
4
12
4
4
0
4
4
1
8
4
4
2
2
2
2
2
8
8
0
0
4
9
9
8
16
8
8
16
16
16
4
4
4
4
16
8
8
8
16
52
1
1
8
10
12
12
8
12
8
24
0
0
8
4
12
0
0
8
1
1
1
0
1
49
17
32
16
16
8
2
18
24
26
26
5
8
1
1
0
0
8
4
20
9
9
16
9
9
0
2
2
2
0
8
8
8
8
8
8
8
1
0
8
16
16
8
16
8
12
0
0
0
0
0
1
26
26
8
8
8
8
8
8
8
1
1
1
16
1
9
16
16
16
16
8
1
1
4
4
4
16
16
16
4
4
4
4
4
4
4
4
8
8
0
8
16
4
0
8
8
0
8
8
0
0
0
0
2
2
2
2
24
2
26
8
0
8
8
8
16
8
8
8
8
8
8
4
0
16
16
16
16
16
16
16
8
8
8
1
1
16
16
8
8
8
32
32
32
32
0
0
0
0
0
0
8
8
8
0
0
4
4
0
4
16
16
16
16
1
16
16
16
16
16
8
8
1
16
8
2
8
8
0
0
20
8
16
1
17
1
1
0
0
0
16
16
16
16
16
16
16
8
8
8
8
8
16
0
0
40
1
1
1
4
2
16
0
0
8
8
8
8
4
0
16
16
18
0
2
2
2
2
0
8
1
16
16
16
0
0
8
8
8
8
8
8
8
2
2
24
8
0
0
0
8
28
8
8
8
0
0
6
6
6
6
6
6
0
0
8
8
8
8
8
8
0
4
16
16
16
16
16
6
4
4
4
4
4
4
4
4
4
4
4
2
12
4
4
8
16
16
16
4
8
3
3
1
1
4
4
32
32
2
0
0
12
0
16
8
16
0
16
8
8
8
28
12
8
8
2
8
8
16
16
16
16
0
16
4
4
4
4
0
8
16
8
8
8
2
1
1
1
16
16
2
8
32
32
8
0
0
32
1
1
1
1
0
36
36
36
36
0
8
8
8
8
8
8
8
40
1
2
16
24
24
8
0
8
8
8
2
8
24
8
8
8
8
8
8
8
8
8
8
8
8
8
17
17
17
0
16
16
8
8
8
8
8
8
0
0
8
8
24
24
24
16
16
16
5
4
4
8
8
8
1
1
1
16
16
16
16
16
16
9
9
8
8
8
8
0
8
8
28
8
8
8
8
8
8
1
1
2
4
4
4
4
4
16
16
16
0
0
0
8
37
37
37
37
16
0
0
8
8
8
8
8
8
16
4
4
3
3
1
33
1
1
1
1
8
8
8
16
16
0
9
9
1
16
8
8
8
8
8
8
8
8
2
2
8
1
1
8
8
8
8
8
8
8
8
24
8
0
0
0
0
16
8
0
0
0
0
0
0
0
16
16
16
16
16
4
0
16
19
0
4
4
4
8
8
4
16
16
16
16
16
16
8
8
8
8
8
8
8
8
4
4
16
16
16
16
0
0
0
17
8
8
0
2
2
1
2
0
8
24
8
16
16
16
2
2
4
0
8
10
16
16
0
0
8
2
0
16
4
16
20
4
16
8
8
8
8
8
16
8
8
8
0
8
8
4
0
4
8
8
16
16
2
0
0
32
4
16
8
60
16
4
0
8
8
9
9
9
9
9
8
25
25
25
32
32
0
12
12
12
1
13
24
16
2
18
18
0
4
4
4
4
16
16
16
0
2
2
2
8
8
8
8
8
8
24
40
2
2
2
0
2
8
8
0
0
0
0
2
2
2
17
17
17
1
0
0
0
1
1
1
32
32
32
8
8
8
8
38
38
38
38
38
16
0
8
8
16
16
16
2
2
2
2
16
16
16
0
0
8
8
8
8
16
0
39
8
8
8
9
9
14
14
8
8
4
4
32
32
29
1
1
0
2
8
8
8
0
0
0
0
4
8
4
4
8
8
0
8
8
0
8
8
4
48
8
8
8
16
8
8
2
2
0
8
8
8
8
8
1
1
24
4
4
4
8
0
25
1
1
30
30
30
4
4
8
4
34
1
1
16
0
0
0
0
0
16
16
16
16
16
16
16
16
16
16
16
0
12
12
12
8
8
8
8
8
9
9
9
8
16
16
16
16
16
1
1
1
0
28
2
4
4
4
4
0
5
5
8
8
8
8
1
9
8
8
9
8
9
17
17
8
4
4
4
4
4
4
4
4
8
10
8
8
8
8
8
8
8
8
8
16
8
8
8
8
8
8
1
0
0
16
24
24
2
22
0
8
8
0
8
16
8
16
16
0
8
8
8
24
24
24
24
8
8
8
8
8
8
8
8
32
8
40
40
1
8
1
0
0
0
0
8
4
8
8
0
0
0
0
0
8
8
8
2
3
3
3
3
3
8
8
1
0
0
16
16
16
25
8
0
24
24
8
8
8
8
8
8
8
8
8
16
16
8
8
8
8
4
4
4
4
0
4
4
4
4
4
1
4
4
8
6
4
4
4
0
12
12
0
0
8
0
8
8
16
16
58
16
16
4
0
4
4
4
16
4
24
8
8
8
8
8
8
8
1
2
0
0
0
2
0
10
11
10
0
16
16
16
16
16
16
8
8
8
8
8
8
8
8
16
16
16
16
16
16
2
16
4
1
0
8
8
8
2
1
2
0
32
32
32
32
2
2
0
8
8
17
1
1
1
4
1
8
8
8
8
2
2
24
8
8
1
1
1
16
48
16
0
8
8
8
0
8
8
4
1
9
8
8
8
16
16
4
32
4
4
4
8
8
24
0
0
16
16
0
8
16
2
16
16
16
0
0
0
0
16
17
0
4
17
17
0
1
0
0
0
8
8
4
4
4
4
4
4
4
4
0
1
4
4
8
8
16
16
16
16
8
8
36
8
0
0
0
0
60
8
8
8
32
32
32
4
4
1
1
8
8
8
0
0
16
16
0
1
1
3
1
0
0
18
18
16
1
8
8
0
0
8
8
8
8
8
0
0
8
8
8
8
8
8
8
8
12
0
4
4
4
4
16
16
16
16
16
4
16
16
16
0
1
0
0
3
0
0
0
0
32
32
32
32
32
32
32
10
10
35
16
8
8
0
0
0
6
6
6
6
6
6
6
6
6
16
0
24
8
24
8
4
4
25
16
16
16
16
16
16
16
0
8
8
16
16
36
8
0
28
8
1
8
8
2
16
8
8
12
9
25
25
8
8
16
16
16
16
16
16
0
4
4
49
0
0
4
4
4
8
8
0
4
4
16
16
16
8
8
8
8
8
0
8
8
8
8
8
8
8
8
8
16
41
8
8
2
2
2
2
2
2
2
2
16
16
16
24
24
1
1
2
5
8
8
8
16
16
4
0
8
8
8
8
8
56
6
4
8
8
8
8
8
8
8
8
8
32
32
16
16
0
0
8
16
24
8
32
0
0
0
25
25
0
0
20
16
16
16
16
4
8
8
8
8
0
0
4
4
4
16
32
32
32
32
32
2
1
8
8
8
20
11
11
0
0
0
8
8
8
0
8
8
8
8
0
0
0
4
4
0
10
8
16
16
16
16
16
16
4
4
4
4
4
1
12
12
0
12
20
20
16
8
8
8
8
8
8
24
0
20
20
20
20
20
20
20
20
8
8
0
8
8
8
8
8
30
24
24
24
0
4
16
20
20
20
16
16
8
16
1
4
5
32
0
16
0
0
0
8
0
4
24
16
16
16
16
16
16
0
0
0
24
8
8
16
0
0
8
8
8
8
8
8
8
8
0
10
10
16
4
4
4
0
8
8
8
8
8
8
8
8
8
8
0
0
1
1
8
8
8
8
0
0
0
16
16
16
16
16
16
0
0
16
16
16
16
16
4
4
0
0
0
0
0
16
16
16
16
0
8
16
16
16
16
16
16
16
16
8
24
4
8
8
20
4
4
24
8
8
0
0
0
0
16
1
17
0
0
0
16
16
0
0
0
0
0
0
8
8
8
8
8
8
8
8
39
39
39
16
40
56
8
8
8
2
2
0
0
0
0
24
16
8
8
8
8
8
8
0
0
16
8
8
24
0
0
8
24
8
24
24
12
8
8
0
16
4
4
2
2
2
2
2
2
2
8
8
8
16
16
16
0
0
0
0
8
8
20
20
4
6
4
4
4
8
8
8
2
24
2
2
2
16
16
8
8
9
8
8
8
8
8
4
4
1
1
1
1
1
1
16
16
16
16
16
0
16
4
16
1
1
1
16
19
1
1
1
1
1
1
1
1
8
8
8
8
16
8
2
0
0
0
8
8
8
8
8
8
8
16
16
16
16
8
8
8
8
8
16
0
0
8
8
8
8
0
8
16
16
16
8
16
8
2
16
2
2
4
4
16
16
4
4
12
4
4
4
4
4
4
0
0
16
16
16
0
0
8
8
8
8
8
8
8
8
8
12
16
16
16
16
16
16
16
16
16
0
0
0
0
4
4
8
1
16
16
46
46
2
6
6
6
0
0
16
16
32
8
0
0
0
0
0
0
16
16
16
16
16
16
23
23
8
8
8
0
16
16
8
8
8
44
8
8
16
16
8
16
16
16
0
1
1
1
4
1
1
1
16
9
1
1
1
1
1
1
8
1
1
1
1
1
9
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
1
16
16
27
33
12
8
0
17
8
8
8
8
8
0
0
4
4
32
0
4
4
16
4
4
4
16
16
16
16
16
16
11
0
0
0
8
8
8
8
8
8
8
8
8
0
2
16
16
4
8
3
3
16
0
0
8
4
0
14
14
1
1
8
8
8
16
16
0
1
0
8
8
16
16
8
8
8
8
8
1
1
1
0
0
28
16
16
0
0
12
0
0
16
0
2
8
16
16
0
2
2
16
2
2
2
2
2
2
0
0
0
0
28
20
0
0
0
16
16
0
4
4
4
0
1
1
1
4
4
16
16
16
16
8
8
16
56
1
1
16
16
8
9
8
8
0
32
32
24
0
16
16
8
8
8
16
0
0
41
41
8
12
4
4
16
16
8
8
8
8
4
4
4
4
4
0
16
16
8
9
4
4
8
8
8
8
8
8
8
8
16
16
1
1
0
0
0
0
0
0
0
0
8
0
0
20
20
0
0
0
16
16
16
24
0
0
24
4
8
8
8
2
2
2
0
0
8
8
12
0
0
8
8
8
32
0
0
0
16
16
16
16
16
0
16
16
16
8
8
8
0
0
16
16
16
16
16
16
16
16
16
8
8
8
16
16
32
32
2
8
24
8
8
0
0
0
0
8
8
0
0
16
0
16
0
0
0
0
0
8
16
16
8
32
8
4
16
16
16
0
8
17
19
2
1
1
1
1
8
2
16
11
16
32
16
8
8
3
0
20
1
21
21
4
0
12
12
16
16
16
16
1
16
16
16
16
16
8
8
8
8
16
8
1
8
8
32
32
32
32
0
8
8
8
2
2
8
8
8
0
8
2
4
0
6
2
2
2
6
6
18
2
2
2
2
8
4
0
0
0
1
8
8
8
1
24
9
8
8
0
8
8
16
0
8
8
8
0
0
0
8
0
20
8
16
16
16
16
16
6
6
16
16
16
24
24
24
24
16
0
0
0
8
6
4
32
4
4
16
0
0
0
8
8
4
33
33
32
33
1
8
2
52
52
0
0
1
3
1
1
1
1
1
1
1
1
0
2
2
2
1
1
1
1
1
8
8
8
8
8
16
8
8
8
0
0
16
16
16
0
8
12
17
0
0
4
24
24
8
4
4
8
8
8
8
8
4
8
24
8
8
32
32
32
32
8
16
16
16
16
16
16
0
24
8
8
16
1
1
1
16
17
4
4
4
0
0
0
16
48
48
48
0
16
4
4
0
9
1
8
8
8
8
16
8
8
0
0
8
8
8
8
8
8
18
18
18
0
0
8
8
8
24
24
24
8
8
8
8
8
1
1
1
8
24
16
12
12
4
8
0
0
0
0
0
16
16
16
8
2
2
1
0
16
16
1
1
24
10
2
16
16
16
24
24
8
8
32
16
8
16
1
1
0
16
16
0
0
5
5
8
3
1
8
21
1
0
0
8
0
0
16
16
16
8
8
8
8
8
9
9
0
32
32
8
8
8
1
1
8
4
4
0
16
4
16
16
20
32
40
16
0
0
16
8
0
8
8
22
22
20
8
0
2
41
41
41
24
8
8
8
8
8
8
8
8
8
0
0
26
16
2
2
2
2
16
16
16
4
4
0
0
8
8
8
4
4
4
12
0
8
16
36
1
36
8
20
16
4
4
4
2
2
18
18
0
0
4
4
4
4
0
0
1
0
16
0
0
0
0
16
4
4
4
4
4
12
8
8
8
0
13
13
13
16
16
16
2
2
2
8
8
8
8
8
8
8
8
0
2
16
16
12
12
8
16
16
16
0
8
8
8
4
4
4
0
0
16
16
16
16
16
16
16
16
16
32
0
0
4
4
12
8
33
8
8
8
8
24
9
0
24
8
8
0
8
0
8
8
16
8
8
8
8
8
16
2
0
16
16
16
16
0
28
28
24
24
24
24
24
16
16
8
8
8
8
0
0
0
0
32
8
8
0
0
0
0
16
8
8
8
2
2
0
0
16
49
17
17
0
4
4
4
24
24
0
8
8
16
24
8
24
24
0
1
1
1
17
1
1
0
8
16
16
16
16
2
1
1
1
1
8
8
8
24
16
2
2
2
48
0
0
8
16
16
8
8
8
8
8
0
8
8
8
8
16
16
16
0
0
0
4
20
0
0
8
8
16
36
8
8
0
6
6
6
16
16
8
8
8
24
24
8
8
8
8
0
0
0
0
4
58
62
8
2
8
4
8
8
16
16
16
16
16
40
40
0
2
2
2
2
1
17
17
17
16
6
4
4
6
6
2
8
8
8
16
16
16
8
8
8
8
8
8
8
0
16
8
24
8
0
48
48
0
2
20
16
1
1
8
8
0
2
2
2
2
8
12
8
16
16
16
16
16
8
8
8
8
0
0
4
0
0
16
16
16
16
1
1
1
32
0
12
32
32
24
24
8
4
4
4
4
4
4
4
16
16
20
10
1
17
16
16
16
16
24
16
0
16
16
16
4
4
4
0
1
16
0
0
4
4
4
8
16
8
8
16
16
16
16
0
16
18
16
1
8
8
8
8
8
8
8
8
8
1
1
0
0
16
16
16
0
0
8
16
0
0
1
1
1
1
49
49
49
49
0
0
0
0
0
0
0
0
0
0
16
8
12
1
1
1
0
4
0
0
0
0
2
2
4
4
4
4
4
16
16
0
16
21
16
16
16
16
16
16
16
24
32
32
0
3
0
0
4
4
0
24
3
24
16
0
0
0
0
0
0
1
0
0
4
8
8
0
0
0
0
0
4
0
0
0
0
21
21
21
21
21
21
0
8
16
16
0
8
8
8
16
16
57
8
8
8
8
40
16
16
16
16
16
16
0
0
4
9
4
4
16
16
16
4
25
8
1
1
1
16
16
61
8
8
8
8
0
0
16
16
4
2
2
8
8
8
8
0
8
8
2
4
2
2
0
0
4
4
4
4
4
8
0
8
16
27
2
2
2
2
0
0
0
32
1
17
0
16
0
32
8
0
8
16
16
16
16
0
1
16
2
2
8
8
4
16
16
16
0
0
0
0
1
1
8
8
8
8
8
8
8
10
10
10
10
8
8
8
8
8
8
8
16
16
0
0
8
8
8
8
8
8
8
16
4
4
4
5
20
20
20
16
24
16
1
16
8
0
2
2
2
16
16
0
0
0
32
32
16
4
8
16
1
17
1
1
8
8
2
2
2
1
8
8
8
8
8
8
8
8
8
8
8
8
32
8
16
16
16
16
0
16
16
16
16
24
16
16
8
12
4
8
8
24
32
32
32
8
25
32
32
0
4
4
32
8
8
4
6
6
0
16
20
16
8
5
8
8
8
8
0
36
33
2
16
0
16
0
24
8
16
16
16
24
16
16
0
4
4
4
8
8
8
8
8
0
16
16
16
16
4
16
16
8
8
8
8
8
8
8
0
8
8
8
16
16
29
29
24
8
8
8
8
8
8
16
16
16
16
16
0
0
4
4
4
8
1
1
1
1
8
8
16
16
16
16
0
0
0
2
33
1
1
1
1
1
8
8
16
16
16
8
16
16
8
16
16
16
16
16
44
8
8
9
0
16
16
16
8
16
24
2
2
2
2
2
2
2
9
8
0
24
0
0
2
2
0
0
2
2
8
8
0
8
8
0
8
0
0
0
0
2
18
2
2
2
0
8
4
6
6
6
1
0
8
8
8
16
16
0
0
8
8
8
8
8
8
0
33
0
0
0
0
8
8
8
8
0
8
8
8
8
8
16
16
2
16
16
16
16
16
16
2
2
8
41
16
0
16
16
16
16
4
4
4
4
2
8
40
8
8
1
16
16
16
16
16
8
24
36
4
4
16
16
16
8
0
18
18
0
8
17
17
16
16
8
0
8
0
20
1
16
16
4
8
17
16
16
16
1
0
0
32
8
8
8
8
32
49
49
49
8
8
8
8
8
0
4
8
0
0
0
0
0
0
0
2
2
0
0
8
24
16
16
16
24
24
2
2
29
29
16
16
16
16
16
2
2
0
0
8
8
8
8
8
0
4
1
1
0
0
8
2
2
2
2
2
2
16
16
8
8
16
8
8
8
8
8
7
8
44
12
16
32
32
0
0
8
8
8
8
8
0
16
16
16
8
8
8
24
24
4
4
16
4
17
17
17
16
16
16
16
16
16
8
8
8
16
16
16
20
20
20
0
0
0
0
4
4
4
16
16
0
8
8
8
8
24
20
8
8
2
2
1
25
25
24
9
8
16
16
16
4
8
16
2
2
34
34
8
0
0
4
28
0
4
2
2
33
33
33
33
16
16
16
0
16
4
2
20
20
1
2
2
4
4
4
4
4
4
0
0
0
0
0
0
8
8
8
8
8
8
4
20
28
8
8
3
0
0
16
16
8
8
0
8
8
8
8
16
17
17
17
17
16
0
16
8
8
8
8
8
8
32
24
8
16
8
8
8
8
8
8
0
0
8
0
0
0
0
0
0
8
0
0
0
0
4
4
0
0
8
8
8
24
24
24
4
16
16
8
8
16
16
16
1
1
1
1
16
1
16
16
16
16
22
22
8
8
0
0
11
24
24
16
2
2
8
8
8
8
16
16
16
4
0
8
8
15
24
24
16
16
16
0
0
0
16
16
2
0
8
24
8
8
8
8
4
4
0
0
0
0
0
0
0
0
0
1
0
0
16
16
16
16
16
16
16
0
8
4
4
4
4
0
0
0
0
0
24
0
0
8
8
8
16
8
32
32
32
32
32
1
1
1
8
2
4
4
20
4
4
16
0
0
0
2
0
0
0
8
8
8
1
16
0
6
16
16
16
16
16
16
8
8
2
16
16
24
0
0
0
0
0
0
28
24
8
8
8
16
8
12
4
16
8
4
8
8
8
8
8
8
8
0
2
2
8
8
8
8
8
16
0
8
8
8
8
8
8
4
0
4
4
4
4
20
20
16
0
0
8
8
8
16
1
0
0
20
1
1
1
0
2
2
2
16
16
8
1
1
1
1
8
8
8
8
16
24
8
8
0
8
8
8
0
8
8
8
4
4
8
8
8
8
0
0
16
16
16
16
16
16
32
32
32
0
1
1
16
16
16
16
8
8
8
8
8
8
1
1
1
1
16
16
16
0
16
16
16
8
0
16
8
8
8
0
0
0
16
22
8
8
8
8
8
8
8
0
8
8
8
8
8
48
16
16
16
16
8
4
4
4
4
4
4
2
33
33
33
1
7
0
0
0
0
8
8
8
0
8
10
20
20
4
1
4
8
24
8
16
24
1
16
16
16
16
8
8
4
4
8
1
16
16
16
16
8
8
16
24
34
34
8
34
0
0
0
0
8
8
0
0
0
24
24
16
16
16
16
17
0
0
1
1
1
1
8
2
0
0
0
16
2
1
1
1
25
9
0
4
4
0
16
16
0
2
8
1
1
0
8
0
8
8
0
0
0
0
0
2
16
16
8
8
8
24
8
8
25
25
25
24
0
0
0
16
39
33
33
33
33
8
8
8
0
32
32
32
2
8
8
8
8
8
6
6
16
16
16
16
16
32
32
0
0
0
0
0
8
0
0
0
4
4
0
2
2
48
48
48
48
16
16
16
16
16
16
16
16
16
0
1
0
8
8
8
8
8
8
4
2
12
0
8
8
4
4
4
4
4
8
2
2
8
0
0
0
16
16
24
24
24
16
18
18
16
4
0
0
16
18
16
2
0
32
32
32
32
32
32
32
32
32
4
4
4
4
4
4
0
0
16
16
16
16
8
8
8
8
8
8
8
8
8
8
8
0
8
8
56
56
16
8
8
0
0
8
8
8
8
1
16
16
16
24
8
8
8
8
0
0
0
1
4
4
4
4
4
17
17
16
8
8
8
8
8
8
8
8
24
2
0
16
16
16
16
32
4
4
4
0
1
1
16
16
16
16
8
8
8
17
0
8
8
24
8
2
10
0
16
9
16
16
12
12
10
16
16
0
0
0
16
16
4
24
8
8
8
8
8
8
22
18
18
18
18
4
16
16
16
16
16
16
8
16
16
16
16
16
2
0
0
0
25
16
2
16
16
8
16
16
16
4
4
4
4
4
2
2
2
20
20
20
18
8
8
16
16
2
8
8
8
1
3
1
0
0
0
0
4
4
12
8
8
0
8
8
8
0
0
0
0
8
8
8
8
0
24
16
16
16
0
8
0
0
8
8
16
8
0
0
8
8
0
8
8
8
16
16
16
8
8
8
4
4
4
0
8
8
8
8
8
8
0
8
8
16
16
16
0
0
2
6
16
16
2
2
2
2
2
4
4
24
16
8
8
8
8
25
16
16
16
24
24
24
8
8
8
8
8
8
3
3
3
8
8
8
4
4
4
4
4
4
4
4
0
0
2
2
4
33
35
33
0
4
0
0
0
0
8
8
33
1
16
0
0
0
0
8
16
0
0
0
1
1
16
4
4
4
1
16
0
16
0
16
16
16
16
4
0
8
4
16
16
1
1
52
52
16
8
0
1
1
0
0
4
4
4
4
0
0
8
8
16
16
2
16
8
8
8
8
16
16
0
0
8
24
16
0
8
8
8
8
8
8
4
4
4
4
4
4
8
8
16
18
18
18
16
16
8
16
16
16
16
8
8
8
8
8
8
8
8
0
0
2
2
2
2
0
0
0
0
0
8
8
8
8
16
16
1
1
0
16
24
16
8
8
36
36
2
2
16
8
8
16
16
16
16
16
16
8
8
40
0
16
8
1
8
2
8
12
8
8
8
0
0
16
16
0
0
0
0
0
8
8
12
16
4
6
17
17
17
17
17
0
0
0
24
8
0
0
0
0
0
8
8
8
4
40
40
8
0
8
8
8
8
1
9
9
16
49
49
49
16
16
16
16
16
24
16
16
8
8
8
8
1
33
33
33
4
40
40
40
0
0
0
0
18
8
8
0
0
1
1
10
10
0
0
8
8
0
8
16
4
4
4
4
4
33
33
33
52
33
8
1
1
1
1
1
0
0
2
2
1
1
8
5
5
5
5
5
2
16
16
16
16
16
16
16
16
16
16
8
20
24
0
0
8
16
0
32
16
8
0
0
0
0
0
2
17
4
4
12
12
13
32
3
16
16
16
16
16
16
4
4
8
8
4
4
24
8
0
16
1
0
0
0
8
8
2
8
0
0
16
0
1
4
4
4
4
4
0
0
8
8
8
0
0
0
8
8
2
2
2
2
2
38
38
0
8
8
8
8
8
0
0
8
8
4
4
16
16
0
0
8
8
8
8
8
24
16
24
16
16
16
16
16
16
16
16
16
0
0
0
8
0
16
16
16
2
8
16
26
5
0
0
2
16
24
8
16
8
4
4
8
8
16
16
16
2
2
2
0
16
0
0
0
0
0
1
2
3
3
2
2
0
28
10
10
10
46
5
4
4
4
4
4
4
4
8
10
8
8
8
16
24
24
24
32
32
32
0
0
12
12
12
16
20
16
16
0
0
9
8
1
0
8
0
8
8
16
8
8
16
8
24
16
16
25
16
0
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
0
2
32
16
16
16
16
1
32
32
2
2
2
8
8
8
24
8
8
8
8
8
16
16
0
12
0
0
12
8
4
4
8
8
0
0
4
2
2
2
8
0
6
8
0
8
0
4
4
0
0
0
0
2
2
2
2
2
1
1
16
0
8
8
8
8
8
8
18
16
4
4
0
2
8
8
8
8
8
8
8
1
1
8
16
16
2
16
16
16
16
0
4
4
4
4
4
0
0
8
8
0
1
1
0
32
32
32
32
0
0
0
16
16
16
8
8
8
8
4
0
0
18
2
2
8
8
8
8
8
8
8
8
8
8
16
16
16
16
16
16
16
0
8
4
4
16
24
8
8
16
2
4
32
17
17
17
0
4
16
16
16
16
30
0
16
1
1
1
2
0
0
0
16
16
16
8
8
0
3
8
8
12
4
4
20
4
4
1
1
1
8
3
4
16
0
0
0
32
40
40
25
9
16
0
0
0
8
8
8
8
8
8
2
2
0
8
8
8
16
12
12
1
12
12
32
8
8
0
0
0
0
1
1
5
1
1
4
12
0
0
8
8
8
8
2
2
0
32
8
16
16
16
16
8
20
0
0
0
0
0
28
4
8
8
8
8
8
8
8
4
16
16
16
1
4
4
16
16
16
16
32
32
32
0
0
0
8
0
16
0
0
0
0
0
5
20
16
20
16
0
16
16
24
0
8
8
0
8
8
16
1
16
16
16
8
8
8
8
8
8
8
8
8
0
0
0
0
0
12
12
12
12
12
16
16
16
16
16
16
16
16
8
0
8
0
32
0
4
4
16
0
6
4
4
16
1
1
1
16
8
8
8
8
8
8
0
8
8
8
8
8
8
38
16
16
16
20
0
16
8
8
8
8
8
8
8
32
33
2
2
1
8
16
20
20
16
16
16
8
9
9
8
8
8
4
4
4
4
1
1
1
1
1
1
1
1
1
1
4
0
1
6
6
4
4
4
8
8
8
8
8
8
8
8
8
8
16
20
8
8
8
8
8
8
8
8
8
8
0
0
0
0
16
16
16
16
8
8
8
8
16
16
0
16
16
0
1
1
1
1
0
0
0
0
2
0
0
0
0
0
0
0
2
4
8
8
0
0
0
0
8
24
0
0
0
8
8
8
12
8
8
24
8
8
16
16
16
17
17
17
17
17
17
17
8
8
2
2
2
2
2
2
2
8
8
8
2
16
2
2
2
19
17
17
17
32
0
0
0
0
0
4
1
8
8
8
8
8
0
16
16
16
16
8
32
32
8
16
32
32
8
0
16
16
16
16
16
4
0
2
2
1
1
1
1
2
16
16
26
0
0
0
0
17
9
9
9
9
9
9
0
16
16
16
16
16
16
16
8
8
8
8
0
16
25
8
8
8
16
16
16
16
16
8
8
8
0
0
0
0
0
20
4
4
16
16
8
8
1
1
1
1
1
1
1
8
0
0
16
0
0
2
0
0
1
1
1
2
0
16
16
16
16
16
8
8
8
8
0
0
2
2
8
8
4
4
8
8
8
8
8
16
16
4
2
2
4
0
0
0
0
0
0
0
0
0
16
0
16
0
2
8
8
8
16
8
24
0
0
0
12
8
8
0
0
8
0
0
28
8
0
0
8
16
16
0
10
8
8
1
17
16
16
16
8
8
6
8
8
2
2
2
16
16
1
1
8
8
0
0
0
0
8
8
8
8
8
8
8
8
8
0
0
0
0
0
16
0
0
0
4
1
1
1
16
16
8
8
8
8
0
0
16
32
32
32
32
32
20
16
16
16
16
16
16
16
0
0
0
24
24
24
24
24
8
8
8
8
8
8
8
4
4
4
4
8
0
0
8
8
8
8
1
1
1
0
16
32
16
1
1
1
16
16
60
60
16
16
16
16
5
5
5
5
6
6
16
8
8
0
0
0
0
20
20
16
16
16
0
16
16
2
8
8
16
16
0
0
16
16
4
12
8
16
16
0
16
16
4
4
4
4
4
8
4
4
4
2
8
8
0
2
2
0
0
0
0
0
2
0
20
18
2
16
18
16
0
0
8
8
8
8
8
8
8
8
8
8
8
0
0
0
0
16
16
16
16
16
16
16
16
2
20
16
8
8
16
16
16
16
16
4
16
16
16
8
16
16
1
4
16
16
16
16
16
1
1
1
1
1
1
1
8
0
0
0
32
32
32
1
1
0
0
8
8
8
6
2
16
56
8
0
8
8
30
8
8
16
8
0
2
2
6
6
8
8
10
2
8
24
16
16
16
16
16
8
8
24
1
1
1
1
1
1
1
0
16
16
16
24
16
4
4
16
0
8
1
2
2
2
2
8
8
0
0
16
16
16
24
8
0
8
8
8
8
1
1
1
0
0
0
8
24
24
24
24
8
17
25
16
1
1
20
20
0
0
0
2
2
2
2
0
1
1
1
0
4
4
4
4
0
0
0
0
1
1
16
17
17
16
16
16
16
17
4
8
8
8
8
2
2
16
0
16
16
0
0
8
8
8
0
0
0
8
8
8
8
0
1
8
8
8
8
8
4
8
8
8
0
0
0
0
4
16
16
16
16
16
16
16
0
24
12
16
8
16
16
8
8
2
2
2
2
0
4
8
8
8
0
8
8
4
2
2
2
2
8
8
16
16
16
8
8
16
16
24
1
4
32
0
16
0
8
8
0
8
8
8
8
16
16
24
1
18
18
16
16
16
16
16
16
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
8
8
8
30
8
8
8
9
8
16
16
16
0
0
0
0
0
0
8
8
16
1
32
0
0
24
4
4
4
0
0
1
1
1
1
1
1
16
0
4
4
0
16
16
8
8
8
8
8
8
8
8
16
16
16
8
8
8
8
2
4
8
8
16
16
0
0
0
0
0
0
1
1
16
32
32
32
32
32
32
40
8
8
8
1
1
0
0
0
0
0
16
16
16
16
0
1
1
8
24
16
33
16
16
16
8
8
2
17
16
16
24
4
4
0
16
16
16
24
4
8
8
8
4
4
4
4
16
16
16
16
16
16
8
8
8
8
26
8
0
0
0
16
16
1
8
8
0
8
8
8
8
8
16
0
0
0
0
0
4
4
8
32
32
32
32
8
16
16
16
16
0
0
0
8
8
0
8
8
4
32
8
8
8
8
4
4
4
4
16
16
0
0
0
0
0
17
17
17
17
0
8
12
0
8
8
8
0
16
2
2
16
16
16
16
16
16
16
16
16
16
16
16
1
1
0
0
2
2
2
16
16
24
0
6
6
8
2
2
2
0
0
0
0
0
0
4
4
8
0
8
0
8
24
1
1
0
16
16
16
0
0
0
0
0
24
24
24
24
24
24
24
24
24
24
0
32
54
0
0
0
0
8
32
16
16
32
32
32
32
32
32
32
8
8
0
8
8
16
0
0
8
8
1
8
8
0
0
0
0
0
8
8
0
0
0
4
6
6
6
8
6
6
24
0
0
0
0
0
0
35
35
35
35
16
16
8
8
8
8
8
0
8
0
0
4
49
0
0
4
4
8
8
0
0
0
8
9
9
20
20
0
1
1
8
8
8
8
3
2
16
16
16
16
8
8
16
8
16
16
8
16
32
0
0
0
16
0
0
6
6
0
0
0
0
0
16
16
16
24
24
24
24
16
0
0
0
16
8
8
8
32
8
8
8
0
0
8
5
5
5
8
0
16
1
1
16
8
16
16
16
8
4
0
0
1
1
1
1
1
0
32
32
32
32
32
0
4
0
2
0
0
16
16
12
16
16
8
0
0
0
8
8
8
10
10
8
8
24
16
0
1
1
4
4
15
8
8
16
8
24
0
0
0
32
32
32
32
16
16
0
0
4
4
4
4
4
0
2
8
8
8
8
8
0
0
16
20
20
20
20
16
8
8
8
8
4
14
14
14
14
16
8
12
4
8
8
8
8
8
8
10
32
2
0
12
8
8
8
8
1
1
1
12
12
8
8
8
8
8
8
40
8
8
8
0
0
0
16
16
16
8
0
0
0
0
8
8
16
16
8
8
0
0
0
0
8
8
8
1
16
8
0
0
28
28
8
57
57
57
57
57
8
8
8
8
8
8
16
16
8
8
8
8
16
16
0
0
0
10
10
10
1
2
8
1
0
16
24
8
8
8
0
0
8
8
16
16
0
0
44
4
0
0
8
9
1
8
8
8
8
0
8
8
8
8
8
8
8
2
2
2
8
8
16
0
0
0
16
4
4
4
16
8
8
8
8
8
0
1
1
1
18
18
18
16
17
17
17
17
8
8
8
8
8
8
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
20
16
1
16
4
0
0
0
8
8
16
0
16
16
16
16
28
24
1
1
1
1
1
0
0
1
1
1
1
4
4
4
2
2
8
8
8
0
8
8
0
20
16
8
8
8
39
16
16
16
0
0
1
1
0
28
28
28
28
16
4
4
0
0
1
1
1
0
8
8
20
16
20
3
8
8
1
1
8
2
16
16
16
2
2
2
2
2
2
0
0
0
1
1
4
2
0
0
16
24
24
32
32
16
1
16
8
16
8
8
0
28
8
8
8
8
8
8
8
8
0
0
0
0
0
0
0
0
32
2
16
16
16
2
16
16
8
8
16
16
8
8
8
0
6
6
6
4
8
0
8
0
0
8
8
8
16
16
16
16
16
16
16
16
16
16
16
8
2
2
0
16
16
16
16
16
16
16
8
8
8
8
1
1
1
1
1
1
4
4
4
16
16
16
0
8
8
0
16
0
0
0
0
16
1
16
8
8
8
8
8
24
16
16
16
2
2
2
2
0
2
2
2
2
2
2
2
2
2
2
2
2
8
8
8
8
8
16
8
8
8
8
8
32
8
40
1
1
0
0
4
4
4
4
4
4
0
8
0
0
8
2
2
39
39
0
1
8
0
12
16
16
16
8
8
8
8
9
8
8
32
32
32
32
0
0
8
8
8
8
8
4
4
12
2
0
24
0
2
4
4
0
0
4
4
16
16
16
8
8
8
0
0
6
6
6
6
16
4
4
8
8
0
24
0
0
8
2
2
16
24
16
16
0
8
8
8
8
8
0
1
1
1
1
8
8
8
0
8
8
0
0
0
0
0
1
1
4
1
4
8
0
0
1
8
8
8
8
8
16
16
16
16
16
16
16
8
8
16
16
16
16
16
16
1
1
4
8
16
8
8
16
24
20
16
36
36
0
28
28
28
28
28
9
1
8
16
0
0
0
0
0
0
0
0
0
8
32
32
16
16
16
0
0
8
8
8
8
8
8
8
32
0
0
0
0
20
16
24
8
8
1
1
1
0
0
0
16
16
4
4
8
4
16
24
16
24
1
1
1
10
2
8
8
8
8
0
8
1
0
0
0
2
2
16
32
32
4
2
2
6
4
4
4
16
16
16
24
0
16
16
16
8
8
1
1
1
1
24
24
24
16
0
8
8
4
2
2
8
8
32
32
32
32
32
4
8
8
8
8
8
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
5
4
0
8
8
3
16
20
0
4
0
8
16
16
16
16
16
16
8
24
8
16
4
16
1
1
1
0
24
24
16
16
0
16
16
16
2
2
4
0
40
40
40
40
40
32
32
32
32
0
2
16
16
16
16
32
32
1
16
0
1
19
8
8
8
8
8
8
8
8
8
4
17
1
0
16
8
8
4
20
16
20
16
16
16
8
8
8
8
8
0
8
8
16
8
0
1
1
1
24
24
9
1
8
1
8
8
1
8
8
9
8
0
0
0
16
24
24
16
16
0
0
0
16
16
8
8
8
8
8
0
2
16
16
1
2
2
2
2
8
8
8
16
0
4
4
9
24
16
8
8
8
8
8
8
8
8
8
8
32
32
32
8
16
16
16
16
16
16
0
32
16
16
16
16
16
16
16
4
4
16
24
16
16
8
8
8
0
12
8
4
0
0
0
8
8
8
8
32
16
8
8
8
8
8
40
8
1
0
20
16
16
8
8
8
8
8
8
0
2
8
18
18
18
0
4
4
4
4
4
4
4
4
2
0
4
8
16
4
30
8
8
8
8
8
0
8
8
16
16
16
8
8
8
8
4
4
4
0
24
24
0
32
0
2
2
2
8
8
8
8
0
0
4
4
12
12
8
8
8
8
8
8
8
16
8
8
1
0
0
16
16
0
0
12
12
4
4
20
20
16
16
0
8
8
16
16
16
0
0
8
0
16
16
16
16
16
16
16
16
16
16
16
16
16
8
8
8
8
8
8
8
8
4
4
9
0
0
0
8
0
0
0
0
24
24
8
8
8
0
0
8
8
8
8
0
1
0
5
0
0
8
8
0
0
16
16
0
16
24
8
8
1
1
33
33
32
0
32
32
32
32
0
1
12
4
12
0
0
0
0
2
2
0
0
0
0
32
0
8
16
0
0
0
0
0
8
8
8
8
16
0
0
0
0
8
0
8
8
16
16
0
0
0
16
33
8
8
0
0
8
8
2
2
2
2
24
24
1
24
8
16
16
16
16
16
16
1
0
0
4
24
0
16
16
16
0
0
0
0
0
0
0
16
8
8
16
0
16
16
16
16
0
0
8
8
3
16
16
1
16
0
16
16
16
16
8
8
8
8
8
8
0
0
0
9
24
24
12
12
4
0
0
0
16
16
16
0
0
0
8
0
0
8
8
8
8
0
8
8
8
8
32
0
0
0
16
1
8
8
8
8
16
16
16
16
16
30
31
16
1
0
0
0
0
0
0
0
2
2
8
8
8
8
8
16
16
1
8
16
16
16
16
0
4
16
16
8
16
8
8
8
8
8
16
16
16
16
16
16
16
9
1
1
8
8
16
24
8
1
2
0
32
32
32
1
16
16
0
0
16
16
16
16
9
9
9
9
0
40
8
8
8
8
0
0
8
1
1
1
1
6
6
6
8
8
8
8
4
2
0
16
16
8
8
4
4
4
4
8
16
6
6
16
16
16
16
8
8
8
8
0
8
12
8
8
8
2
0
0
0
0
16
20
20
8
8
1
16
8
8
2
2
2
2
24
24
24
0
28
28
28
4
24
8
8
0
0
0
0
16
16
16
16
16
8
0
8
8
4
0
0
0
1
1
8
0
5
5
0
16
4
4
1
2
2
2
8
8
8
12
12
12
0
16
8
4
4
2
2
2
19
8
8
8
2
8
8
8
4
8
8
8
0
0
0
8
8
8
8
8
8
0
8
0
0
0
0
16
16
1
0
8
8
0
0
8
4
4
4
6
6
1
8
1
0
40
8
8
8
8
8
8
0
0
8
8
8
16
16
16
8
16
3
8
8
8
8
8
8
16
8
20
4
4
25
25
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
1
0
0
0
8
8
24
16
0
8
8
8
8
8
0
0
16
1
1
0
8
0
8
8
29
2
2
2
8
8
8
1
8
0
8
8
16
16
16
16
0
0
0
8
8
32
0
0
8
8
8
8
8
4
0
0
2
2
2
8
8
0
32
5
1
1
1
8
0
16
16
16
16
16
16
16
17
4
16
8
8
8
8
0
4
6
6
8
8
24
3
3
18
0
8
8
8
0
0
0
0
0
8
8
0
16
8
16
16
4
0
16
16
16
19
0
0
8
8
8
8
8
16
16
16
16
24
8
8
8
8
4
4
0
0
2
16
16
1
8
8
0
1
16
8
4
4
4
0
0
0
0
32
32
32
16
1
1
37
37
37
37
37
8
8
0
8
8
1
0
0
51
8
8
8
8
8
32
32
32
32
0
0
0
0
8
8
4
8
10
8
4
16
16
16
24
0
0
1
1
8
8
8
16
16
16
16
0
8
8
8
2
2
2
8
8
8
8
8
8
8
8
24
4
4
16
8
8
8
8
8
8
8
1
1
0
0
0
0
8
0
9
8
8
24
8
8
8
0
17
0
0
8
8
8
8
25
16
25
16
8
8
24
8
8
4
1
1
1
1
0
0
0
0
0
8
8
0
0
0
8
8
8
16
16
16
8
0
16
16
1
8
4
4
4
17
17
17
22
22
1
1
12
12
12
16
1
1
1
8
1
0
0
0
0
0
16
16
8
0
0
8
0
24
40
40
8
0
0
0
0
0
16
0
8
24
8
17
17
0
0
1
24
16
16
4
8
40
40
40
0
2
2
25
16
16
16
8
56
56
56
56
0
0
0
16
0
0
0
1
1
8
24
24
8
8
1
20
40
40
8
16
8
8
8
8
8
8
8
8
0
0
8
16
16
0
4
12
4
16
16
8
1
1
21
21
8
8
8
8
8
16
0
0
0
24
16
1
1
1
8
8
8
8
0
0
4
0
8
32
16
12
12
12
0
24
7
7
7
7
7
32
0
8
0
0
0
8
8
16
8
8
16
16
16
16
0
32
24
16
16
16
16
16
16
16
0
0
0
16
16
1
0
0
0
16
16
16
16
16
16
16
16
16
16
28
16
16
16
0
0
1
1
1
1
2
2
2
2
2
4
4
0
8
8
0
0
4
4
20
4
0
8
0
16
0
30
0
0
16
9
0
16
16
16
0
8
8
0
0
4
20
20
20
16
16
16
16
8
8
8
8
0
0
0
0
0
0
0
0
12
12
12
12
12
12
2
2
16
16
16
16
0
0
0
8
8
16
8
8
8
8
8
8
8
8
8
8
8
8
0
0
4
16
4
0
0
16
16
16
16
8
4
12
4
4
8
8
12
8
0
2
8
8
8
8
8
23
16
3
0
4
4
4
8
4
16
16
8
8
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
16
16
16
16
16
16
16
16
0
1
2
16
8
8
8
2
8
10
10
0
0
0
0
0
20
5
24
24
8
8
8
0
32
32
32
8
0
1
1
4
4
4
0
0
8
8
56
56
36
24
24
4
4
9
9
9
16
16
16
16
16
16
16
16
16
1
1
8
8
4
0
0
8
0
1
8
9
9
0
4
4
8
8
4
4
8
8
8
8
8
8
8
16
16
16
16
16
8
2
2
2
6
0
16
16
16
16
16
8
14
14
2
2
8
2
4
0
1
1
1
16
16
0
8
24
24
16
0
0
8
8
8
8
0
4
10
4
4
8
4
19
0
0
0
0
16
16
2
8
8
24
8
1
1
1
1
1
8
12
8
0
0
4
4
4
16
16
0
51
51
8
8
8
8
8
16
16
1
17
1
16
16
16
16
8
16
16
16
1
8
16
16
8
16
8
8
8
12
6
6
6
16
8
8
8
0
16
16
0
4
8
8
8
24
8
0
24
8
8
0
16
4
0
56
4
4
4
4
24
24
8
8
4
8
8
16
16
0
0
0
8
8
0
16
16
16
16
16
2
0
0
32
20
8
8
0
0
0
0
2
2
16
4
5
5
5
0
8
0
16
16
16
16
0
0
16
0
1
4
0
8
0
0
4
24
16
0
16
8
16
0
2
0
0
1
24
24
24
24
8
1
0
0
24
0
0
0
0
4
16
21
21
8
8
16
16
4
16
2
8
8
8
0
8
8
16
8
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
8
8
0
8
8
8
4
4
4
24
16
16
16
16
16
16
8
8
8
0
16
16
16
16
0
8
4
4
4
8
16
2
2
2
2
12
0
2
2
8
8
0
40
40
16
16
16
8
16
8
38
38
38
0
0
0
0
0
8
8
32
32
32
32
18
16
16
16
16
16
0
16
16
21
0
2
2
2
2
1
1
1
2
2
16
0
8
8
16
16
16
8
8
4
4
4
0
2
2
2
1
1
1
1
0
1
1
32
0
32
16
16
16
16
4
4
4
0
8
8
8
8
8
16
16
16
8
8
8
2
2
2
8
34
34
34
8
8
16
1
1
1
1
0
0
0
16
16
16
16
16
16
0
2
8
8
8
16
32
8
1
1
1
1
8
16
8
8
8
8
8
8
8
0
0
4
16
8
24
24
24
8
0
0
0
0
0
48
24
8
4
1
1
0
16
20
0
24
24
8
8
8
48
32
1
1
16
0
8
8
16
26
26
28
0
8
8
8
8
8
8
8
8
1
16
16
0
2
26
16
8
0
0
0
8
16
0
0
0
0
8
0
16
16
8
8
8
2
2
2
8
8
16
4
4
4
16
16
16
16
16
16
16
0
8
8
8
8
16
8
8
8
8
8
16
10
8
14
8
8
8
16
16
16
16
24
16
5
5
8
13
5
0
0
16
16
16
0
12
8
12
4
4
16
16
0
8
8
8
0
0
8
2
33
16
0
4
5
8
8
8
8
8
16
8
8
4
6
4
4
4
16
16
16
16
2
0
8
8
16
0
0
4
16
8
8
8
8
8
8
0
16
16
0
8
2
17
0
4
8
16
8
8
8
8
8
8
8
2
2
2
8
8
8
8
0
8
8
8
8
48
8
8
8
0
0
0
8
8
16
4
4
13
13
13
13
8
4
12
12
4
4
4
4
8
8
8
8
8
4
4
4
16
16
16
0
2
16
9
16
16
16
2
8
0
8
24
24
24
8
16
0
0
4
0
24
0
0
32
1
8
8
8
8
8
8
8
25
24
8
8
8
24
8
8
2
0
16
16
0
0
0
8
8
0
0
12
12
8
4
4
0
0
0
0
4
4
9
8
8
8
8
8
5
4
4
8
8
24
8
8
8
16
16
16
4
4
4
4
16
8
8
8
0
0
0
0
0
16
16
16
0
0
1
16
16
0
4
4
4
8
8
8
8
8
3
1
5
1
0
0
0
0
8
8
8
8
12
12
8
8
8
16
32
32
32
4
4
4
4
24
24
24
24
16
1
16
16
16
2
8
0
0
60
16
8
8
8
16
16
16
0
0
16
16
16
16
8
8
0
16
0
6
16
4
4
4
4
0
0
2
2
16
8
8
8
24
0
0
0
1
1
32
32
2
2
2
2
0
16
16
4
12
4
4
8
0
16
8
8
8
16
16
16
16
16
16
2
2
6
2
2
2
0
1
1
1
8
8
1
1
1
1
1
17
1
16
16
4
4
4
0
0
0
0
1
0
8
8
8
8
0
8
8
8
8
8
16
24
4
4
0
16
24
8
8
33
2
2
2
2
2
2
6
6
6
6
40
8
8
1
1
8
1
1
8
8
8
8
24
0
8
12
8
16
8
8
8
0
1
0
0
0
0
0
8
8
0
32
32
4
32
8
8
8
6
0
0
29
1
2
0
16
32
32
8
0
0
16
16
16
18
0
0
0
0
0
0
4
2
2
2
0
16
8
0
0
0
0
32
16
16
0
0
0
8
8
8
8
0
8
8
0
8
8
12
1
8
8
2
2
16
16
40
32
32
0
16
16
0
8
8
8
8
8
8
8
16
16
8
8
8
8
8
8
8
8
16
16
16
8
16
16
0
16
16
16
1
1
8
8
8
1
1
8
32
32
32
2
2
32
0
4
4
8
8
8
12
0
0
0
0
4
4
0
0
0
16
16
16
16
16
16
0
0
0
0
0
16
16
16
16
16
8
8
8
8
8
8
8
8
8
8
8
16
0
8
0
40
8
8
8
0
16
16
16
16
0
0
16
16
16
0
0
16
16
1
1
1
1
1
1
0
0
8
16
0
0
0
32
8
8
8
8
8
4
4
4
8
8
8
8
16
0
0
24
24
32
16
16
16
16
16
16
5
5
5
2
16
16
20
0
0
8
8
8
0
8
8
0
8
8
8
16
16
16
2
2
8
13
8
8
8
8
4
4
0
1
4
16
1
50
8
8
8
8
32
32
32
32
32
8
8
8
8
0
0
0
16
1
8
8
8
4
4
4
8
8
0
0
16
16
16
16
0
4
4
4
4
4
8
8
16
16
16
0
24
3
1
8
9
9
8
8
8
8
8
16
2
18
0
8
8
8
8
8
8
8
20
8
12
12
12
1
0
16
2
2
8
8
8
8
8
24
24
9
9
9
9
16
1
8
8
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
4
4
16
16
16
4
4
4
0
16
16
16
16
16
0
4
0
5
48
48
1
1
1
1
1
0
8
16
20
16
16
24
0
8
16
16
16
0
0
0
16
0
8
0
0
8
8
24
8
8
8
8
8
8
16
4
0
0
1
0
0
0
8
4
8
8
8
8
8
8
8
8
1
8
8
8
8
8
8
8
0
0
0
0
4
4
4
4
0
0
0
0
0
0
1
1
8
0
16
16
8
0
8
8
8
8
1
1
16
16
8
8
8
8
0
0
1
1
1
1
2
2
2
2
2
2
2
17
13
1
1
8
8
8
8
8
8
2
2
2
4
0
4
4
32
4
36
16
16
16
4
0
0
6
4
4
0
0
0
8
8
16
16
16
8
4
16
4
2
2
2
2
2
2
2
2
2
25
8
0
8
8
8
8
8
24
24
0
0
10
10
2
8
10
14
14
8
8
8
8
8
8
8
8
16
16
16
16
16
2
2
2
2
2
2
24
16
12
8
8
32
2
0
8
24
8
8
8
8
8
8
8
16
16
16
8
8
16
16
0
0
24
8
16
16
0
4
8
8
22
2
0
2
2
2
8
8
8
56
0
0
0
2
2
0
0
16
0
0
4
0
0
0
8
0
0
0
0
0
0
56
16
2
0
16
16
16
16
32
32
0
0
8
16
16
16
8
16
16
1
0
16
0
0
8
8
8
8
8
8
8
8
8
8
5
5
1
9
0
4
4
16
16
5
5
13
16
0
8
8
8
8
8
0
16
8
8
16
16
8
24
9
25
16
17
24
8
8
8
8
8
0
2
2
1
1
1
8
16
8
8
16
16
16
2
2
1
0
0
0
17
5
8
0
0
8
8
5
5
8
8
0
0
0
0
0
40
40
0
0
0
16
8
8
8
8
8
8
1
1
1
16
8
24
0
24
24
24
1
4
0
8
8
0
8
8
16
16
16
20
20
20
20
20
20
8
8
8
4
8
4
4
4
32
32
1
16
16
16
16
16
16
16
16
4
4
4
16
16
16
16
16
8
8
16
16
16
16
16
8
0
14
0
1
1
1
1
16
16
16
16
16
0
4
2
0
16
16
4
16
16
16
16
16
28
0
0
0
0
25
25
8
32
32
8
0
0
0
0
0
0
0
2
0
12
4
4
4
4
4
32
32
32
0
8
24
16
0
16
8
8
8
8
16
0
0
0
0
24
16
4
4
8
0
4
8
1
1
1
1
1
1
1
1
8
16
1
1
8
8
8
0
16
0
0
1
1
16
1
9
24
8
8
1
16
16
16
13
9
9
8
27
16
1
8
8
14
14
8
24
4
4
4
4
4
4
4
4
1
1
0
0
32
4
8
8
8
16
16
16
24
24
24
8
16
4
4
4
4
4
8
2
2
2
1
1
8
8
9
9
4
4
0
16
16
16
16
16
2
2
2
2
2
0
4
8
0
0
0
8
8
8
0
8
8
8
8
0
16
16
16
16
16
16
16
0
8
8
0
0
8
16
16
12
8
32
32
8
40
8
0
8
8
0
8
8
5
16
29
24
8
40
32
8
16
8
8
8
8
0
0
0
0
0
8
8
8
8
8
4
4
4
4
4
16
16
16
8
8
8
1
8
8
8
4
16
16
0
0
0
8
8
20
0
4
4
4
4
4
4
0
0
0
8
0
0
16
4
0
6
0
8
9
16
16
0
8
8
8
12
16
16
16
16
16
2
2
18
8
8
48
48
48
4
16
16
16
0
0
0
0
8
8
8
8
8
8
0
0
0
8
8
8
8
8
8
4
12
8
8
16
16
16
0
4
4
0
0
28
8
8
8
6
6
10
1
8
8
2
2
0
0
0
24
0
1
1
0
0
0
0
0
0
4
4
4
10
10
10
8
0
0
48
32
8
8
8
16
8
8
8
8
8
8
8
0
16
32
0
0
16
8
24
8
8
8
8
16
32
4
0
4
4
4
4
4
17
17
17
17
17
17
24
16
16
4
4
4
4
4
16
0
0
24
6
2
2
2
2
2
8
8
8
0
8
8
0
8
9
16
16
8
1
1
1
8
16
16
8
8
8
16
4
20
20
16
16
16
16
16
16
24
8
8
8
16
24
8
8
8
8
8
8
49
8
1
16
16
8
0
1
4
0
32
0
0
16
16
16
16
16
16
0
0
0
0
0
16
16
16
8
8
8
0
1
1
1
1
1
16
16
16
0
1
0
8
8
8
16
48
48
8
8
6
8
16
8
8
8
13
1
24
0
8
9
8
8
4
4
4
4
4
8
8
1
0
8
0
9
9
16
16
8
8
0
0
8
8
8
8
8
8
8
8
17
1
4
8
8
8
8
16
16
16
16
0
20
20
20
4
1
8
16
14
2
0
0
2
26
2
2
6
6
16
8
8
8
2
2
2
2
2
2
16
16
16
16
16
8
8
16
8
8
8
4
2
8
8
12
20
20
2
8
8
8
1
16
16
16
0
0
0
3
3
8
16
24
8
8
4
6
4
4
4
4
17
17
17
17
16
1
20
16
16
0
16
16
16
0
8
16
0
0
8
1
1
8
8
8
8
0
2
0
0
0
0
4
4
16
16
16
16
16
16
0
0
8
8
4
4
4
8
8
0
8
8
8
8
0
20
8
8
1
1
1
1
0
0
0
0
0
0
0
8
8
8
8
8
8
8
8
16
16
8
8
16
8
8
8
24
4
4
1
21
0
0
16
16
16
8
8
8
0
0
8
8
8
8
2
2
2
2
2
8
8
4
4
4
4
4
4
4
4
4
8
8
8
12
8
8
8
4
4
16
16
16
16
16
0
32
4
4
4
4
4
4
1
2
0
0
0
0
0
16
24
24
0
8
16
2
8
2
24
2
8
8
8
4
1
1
1
1
16
16
16
8
8
28
4
4
1
0
16
4
4
4
4
1
1
1
1
32
1
1
0
0
2
9
0
0
4
4
16
16
16
16
16
16
8
8
20
20
4
4
1
1
1
4
4
0
8
8
8
8
8
8
8
0
3
3
2
2
2
1
1
8
8
16
8
8
8
0
17
8
2
0
16
16
4
4
0
0
0
16
16
16
4
4
4
8
2
2
8
8
8
8
8
1
1
8
8
24
16
0
0
8
8
8
16
0
0
0
17
17
16
16
0
1
8
0
0
8
8
8
1
2
2
0
0
16
16
4
4
16
0
0
0
0
0
0
8
8
4
4
2
8
2
24
16
8
8
8
8
8
8
16
8
8
8
8
8
24
8
8
16
16
0
16
24
24
24
8
1
1
1
1
0
0
1
8
8
0
1
4
2
8
8
4
8
8
8
8
4
4
8
8
2
2
8
8
8
8
16
0
0
8
0
0
0
16
2
16
16
16
0
0
8
20
20
0
0
0
16
16
0
0
8
28
4
28
22
22
22
8
8
0
0
16
16
4
8
4
4
4
4
4
16
9
12
8
8
0
8
8
25
25
0
48
16
8
8
0
17
17
8
8
8
0
2
2
1
8
2
0
8
8
8
4
4
4
16
8
8
0
0
16
0
1
0
38
38
1
1
1
1
1
1
13
15
2
8
16
0
0
2
0
16
16
16
16
2
2
16
16
0
0
0
0
24
16
16
16
2
4
4
24
2
2
0
16
16
16
16
8
0
2
0
0
0
0
0
0
0
16
16
16
16
16
16
16
0
0
0
0
8
8
0
0
2
2
0
10
10
0
0
8
8
8
56
56
0
0
0
0
0
0
19
16
12
16
16
9
9
1
1
0
0
0
4
2
16
20
3
8
8
0
0
16
16
8
24
16
4
2
1
1
1
8
8
8
8
32
0
0
0
0
0
16
16
16
1
1
1
1
1
1
1
1
0
16
16
16
16
8
8
8
8
8
0
2
0
0
0
0
16
16
16
16
16
8
2
2
2
0
0
8
8
8
4
4
4
4
0
22
22
16
16
0
0
32
8
8
8
16
2
0
8
8
16
17
16
16
16
16
0
0
8
8
8
8
8
8
8
8
8
32
32
4
4
4
4
4
20
20
4
16
25
25
57
25
8
28
8
8
8
8
8
8
8
32
32
32
32
24
4
4
16
16
16
4
4
4
4
6
6
6
0
0
0
16
8
16
0
8
2
2
0
16
16
16
2
16
16
16
16
16
1
8
8
0
17
16
16
0
16
8
16
16
16
4
4
0
4
4
8
8
8
4
16
16
16
4
4
4
8
8
8
8
8
8
26
1
32
3
11
3
8
8
8
0
8
8
0
8
24
24
8
8
8
1
1
0
0
0
0
8
16
16
16
16
8
1
4
4
24
8
16
16
16
16
16
8
24
24
16
0
8
0
0
0
1
4
4
5
1
1
8
8
0
0
16
24
17
8
0
0
0
4
16
1
1
1
8
8
8
8
8
8
0
0
4
4
8
40
16
16
16
0
8
8
16
16
16
16
8
8
8
8
8
8
8
8
8
16
16
16
1
1
1
8
8
8
20
16
0
1
1
1
0
0
8
8
8
24
8
8
8
4
1
1
1
0
2
16
16
16
0
0
8
16
16
16
0
0
0
0
0
0
0
0
0
0
8
33
33
33
33
0
0
0
8
8
8
8
16
20
20
18
18
18
18
2
8
8
20
16
8
0
0
0
24
8
8
8
8
32
8
59
8
8
16
16
16
0
0
0
8
8
8
8
0
1
16
8
8
8
0
16
16
8
8
4
4
8
8
16
16
16
0
10
10
0
16
16
2
10
16
16
16
16
8
32
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
8
16
24
8
8
8
0
4
4
4
0
0
4
16
8
0
0
56
0
8
16
24
8
8
8
8
0
0
1
1
0
8
8
16
8
8
8
8
0
0
4
4
0
0
0
4
4
0
0
0
8
14
14
14
16
4
8
8
16
16
0
0
0
16
4
4
8
8
8
8
8
8
12
8
8
9
8
8
8
8
8
8
8
16
8
16
16
22
16
16
0
0
0
20
20
8
8
8
8
2
2
0
8
8
8
8
8
0
2
2
0
16
16
16
12
12
12
12
0
0
16
28
8
8
8
1
9
4
4
4
16
16
16
16
1
3
8
2
2
8
8
8
8
8
8
8
8
0
0
32
32
32
32
16
4
4
0
8
8
8
8
8
4
4
0
8
16
16
16
16
16
0
0
20
40
0
0
16
16
16
8
0
32
16
32
8
16
16
16
16
16
16
0
30
16
8
8
8
8
8
8
16
16
16
8
4
4
4
4
21
18
0
0
0
0
16
0
8
8
8
3
39
39
39
39
0
0
0
16
16
16
16
8
8
8
16
16
8
9
0
8
8
8
16
0
0
0
24
24
24
24
24
0
0
0
0
0
0
24
24
8
8
8
8
0
2
8
2
2
56
56
2
3
2
16
1
4
8
8
8
0
0
8
8
8
8
8
4
8
24
24
2
2
0
4
32
1
17
1
8
0
16
0
0
0
0
0
16
8
16
12
16
8
8
8
8
20
0
0
0
8
16
16
16
16
16
32
8
8
8
8
16
1
0
0
0
8
24
24
24
8
8
24
8
8
8
8
8
8
8
0
0
0
0
16
16
4
6
24
25
1
1
16
16
24
24
24
24
12
8
0
8
8
0
0
16
4
2
4
8
24
4
16
16
8
16
16
16
16
16
16
2
2
2
2
2
2
12
8
4
2
2
8
1
18
18
32
10
4
4
4
0
0
0
0
0
0
4
4
8
8
8
0
0
16
8
32
0
7
7
8
8
8
8
8
8
8
8
8
8
4
8
0
0
0
4
4
4
4
4
4
4
4
4
16
16
0
0
0
12
8
8
0
0
24
16
8
2
0
0
0
0
24
4
0
0
8
8
1
0
8
24
0
16
16
1
1
1
1
0
24
24
4
0
12
4
4
24
24
16
16
16
0
14
0
8
8
8
8
8
8
0
0
8
8
8
49
16
16
8
8
8
8
16
16
4
8
16
16
16
8
8
8
0
0
0
0
0
4
8
8
12
4
8
12
12
0
0
16
16
1
1
1
20
20
20
20
1
8
0
8
0
16
24
24
16
8
8
8
0
8
8
4
4
4
4
4
2
22
4
12
0
0
0
0
9
1
24
24
8
8
0
0
0
24
16
0
0
0
0
0
0
16
16
16
16
21
0
0
8
8
16
8
4
13
4
4
8
8
8
8
8
8
8
16
16
2
8
0
2
16
8
0
16
16
0
0
0
0
16
0
0
0
0
4
0
0
8
8
8
8
8
8
0
8
8
16
4
0
0
0
0
0
1
0
16
16
16
16
16
4
4
20
8
8
8
8
8
8
8
0
3
16
4
4
4
4
4
4
4
20
16
2
0
8
8
32
32
32
4
4
4
16
16
0
0
0
16
24
8
8
8
8
16
8
0
0
0
8
0
2
2
8
0
16
16
1
0
0
0
4
36
8
8
1
1
8
24
32
1
0
8
8
8
8
8
16
2
9
9
9
2
2
2
9
9
9
1
8
32
32
0
18
0
8
0
9
9
8
12
12
0
8
8
8
8
1
1
0
0
0
0
4
8
8
8
8
8
8
0
16
16
0
32
0
0
0
2
0
0
0
27
0
0
2
8
0
0
0
8
8
0
0
16
13
4
8
4
2
8
12
8
0
12
8
40
8
62
32
0
8
8
8
8
0
0
8
40
40
0
0
16
16
0
0
8
8
8
8
8
8
0
8
8
0
8
8
8
8
8
8
16
24
16
16
16
16
24
1
8
8
0
0
0
1
1
1
1
26
0
0
16
16
16
0
4
4
4
16
8
8
40
0
0
0
8
8
0
8
8
8
8
16
16
0
8
8
0
16
16
1
1
2
2
8
8
0
0
2
2
4
0
0
0
16
0
16
16
16
16
4
0
2
0
16
8
8
8
16
8
24
0
32
0
0
0
16
0
0
8
0
24
8
8
24
1
1
0
8
8
8
32
0
9
0
8
8
0
0
0
1
12
8
8
8
8
12
16
16
48
48
48
48
4
0
16
16
16
0
0
0
32
0
4
4
4
8
16
16
16
0
16
16
12
8
0
0
0
8
8
11
16
4
8
8
8
8
8
8
8
8
8
8
16
0
0
21
21
16
16
16
4
6
8
8
8
0
8
1
1
0
0
2
2
2
2
8
16
16
0
4
16
16
1
8
8
8
8
8
8
8
4
4
0
2
0
16
2
2
0
8
8
8
0
4
36
0
0
0
0
8
8
8
24
8
0
16
16
16
0
0
32
32
8
8
8
0
0
0
8
8
8
8
8
8
8
8
8
0
16
16
0
0
8
4
4
8
16
16
16
16
8
16
0
0
0
32
32
0
22
6
6
6
6
6
8
8
16
16
48
0
0
0
8
0
1
0
24
24
24
0
0
0
16
4
16
16
16
16
16
0
2
6
2
0
0
8
8
8
2
1
9
1
1
22
0
16
4
8
8
16
0
0
0
0
16
16
16
16
16
16
16
16
8
4
4
4
0
4
30
8
8
0
0
4
4
33
33
1
0
0
0
4
4
4
0
8
10
2
2
4
0
0
0
0
8
8
1
1
0
0
0
2
62
12
4
4
4
8
8
8
8
8
0
0
8
0
8
8
0
16
2
2
1
8
28
4
8
8
8
8
8
1
1
1
1
1
0
0
0
8
8
8
8
8
8
0
8
8
0
16
16
16
4
8
8
12
4
4
0
0
16
16
16
16
16
0
0
0
0
8
1
17
16
16
8
4
4
20
24
24
0
24
0
0
0
0
4
0
8
8
16
16
1
1
1
1
22
0
0
0
0
32
16
16
4
8
0
8
0
0
8
8
1
16
16
16
0
0
0
16
8
8
8
8
12
0
0
16
16
16
16
16
2
8
8
8
8
16
24
8
0
0
0
16
4
0
0
8
8
32
6
6
16
4
4
4
4
4
0
24
0
8
8
8
16
16
1
1
4
0
0
0
0
0
0
0
16
0
8
8
1
0
4
0
8
32
32
32
16
0
8
24
0
0
1
24
8
0
9
9
8
0
0
16
8
8
16
0
0
0
8
1
8
0
0
2
16
8
8
8
8
8
8
8
8
8
26
16
24
0
0
0
16
4
4
1
1
8
0
0
4
0
16
16
16
16
16
24
24
16
0
4
4
36
16
16
0
0
16
8
8
8
8
0
0
0
4
4
4
8
16
1
1
1
0
0
0
1
0
0
1
57
4
4
16
2
2
2
2
0
24
8
2
18
2
1
44
44
8
8
16
16
0
24
8
0
0
0
8
0
16
0
0
0
0
0
6
6
8
8
0
16
16
16
15
8
20
20
16
0
0
8
16
16
8
8
8
0
8
8
24
0
0
20
0
16
16
0
0
32
32
0
0
0
8
8
0
0
0
12
8
8
8
10
8
0
0
0
0
32
16
17
17
8
8
0
0
0
0
8
0
0
16
16
16
16
37
0
4
4
8
8
1
0
0
0
0
0
0
16
16
0
0
0
0
16
0
4
4
8
0
0
4
16
21
1
1
1
0
0
0
0
16
8
0
33
33
2
16
16
8
16
1
1
1
1
1
1
1
0
8
8
8
0
0
8
8
8
2
2
16
16
16
0
12
5
4
4
0
0
2
2
2
8
8
8
8
0
8
1
4
0
0
16
0
8
8
8
2
2
2
0
0
16
16
16
8
8
8
8
0
16
8
8
8
8
0
0
0
14
14
0
0
24
4
0
12
0
0
1
1
0
0
16
16
32
32
16
16
16
0
0
12
8
8
8
8
8
24
24
24
24
24
23
0
0
0
1
1
1
1
0
0
0
0
0
16
16
8
4
4
20
4
16
4
4
4
16
16
0
8
8
0
0
1
24
0
16
16
16
16
16
8
8
16
8
0
8
16
8
8
8
8
8
32
16
16
9
4
0
0
16
1
1
8
8
8
9
48
48
48
48
22
4
0
0
1
1
1
8
8
8
17
16
16
8
8
8
8
8
8
8
16
4
8
4
32
20
0
8
2
2
25
16
24
8
8
4
0
0
1
1
8
8
16
56
56
24
1
1
1
8
10
16
0
0
8
40
40
40
32
8
8
0
8
0
0
8
8
18
0
8
0
8
8
0
0
16
0
0
8
8
18
18
18
25
0
8
8
8
0
0
0
0
8
8
8
32
16
8
8
8
8
8
8
16
0
0
0
0
8
8
8
8
8
16
18
4
4
4
4
0
0
4
0
8
0
0
4
4
2
2
8
0
2
16
16
0
27
27
24
24
0
4
4
2
2
2
0
0
1
1
0
4
4
0
4
4
4
25
25
0
0
16
1
1
0
0
0
8
16
16
16
4
2
2
2
2
2
2
16
16
16
21
21
21
16
0
4
4
8
24
0
0
8
8
8
8
8
8
8
8
8
8
2
2
16
0
0
4
4
0
2
0
8
0
8
8
8
8
8
16
0
0
4
4
0
0
16
16
24
24
0
1
1
1
1
1
0
0
16
16
0
8
8
8
8
16
0
0
56
24
2
2
2
12
8
8
8
0
4
0
4
1
1
16
16
0
4
16
16
16
16
0
8
2
2
2
2
16
16
16
2
2
0
0
0
16
16
9
9
0
0
16
20
16
0
18
0
0
0
16
16
0
16
8
4
4
4
0
0
8
8
4
4
4
8
8
8
8
8
8
8
8
0
0
2
2
2
2
2
8
8
0
0
0
0
0
0
4
0
18
18
0
8
8
0
0
24
24
32
32
16
0
4
4
4
0
4
4
16
16
1
9
10
10
10
8
0
0
0
1
8
8
8
8
0
5
8
8
8
24
0
0
0
2
2
22
0
0
0
0
0
4
0
0
0
0
16
20
20
1
1
1
8
8
0
8
0
0
0
0
0
2
0
4
4
8
8
8
8
8
8
8
8
0
24
24
0
0
0
0
4
4
4
4
8
8
8
8
8
0
0
0
8
8
0
0
16
0
8
1
8
8
37
37
2
2
0
32
32
0
8
8
0
16
16
0
8
8
8
8
4
16
16
16
8
0
0
8
8
8
8
25
8
8
8
8
0
16
4
18
18
0
2
2
2
2
4
4
4
4
4
4
4
0
0
0
16
16
16
9
0
0
4
4
4
0
0
4
4
4
8
8
10
4
4
4
4
24
16
20
16
18
16
2
16
8
8
8
0
0
4
4
0
0
0
16
8
8
8
4
4
4
4
4
4
4
4
16
0
8
8
8
8
24
16
0
10
24
24
1
23
0
0
8
8
2
2
0
2
3
2
4
4
0
16
16
0
0
16
16
0
0
0
0
0
16
16
1
1
0
8
8
0
0
1
1
9
1
0
11
0
24
16
16
16
2
24
24
0
8
22
8
8
0
16
16
8
16
0
0
0
16
16
41
8
16
16
26
10
10
10
12
0
2
8
0
8
8
8
2
2
2
2
0
16
16
0
0
17
17
0
0
0
8
8
8
8
8
24
8
0
2
2
2
12
12
8
8
8
12
12
0
8
8
8
8
24
17
16
1
1
1
1
1
0
0
0
4
10
0
0
0
16
0
0
0
0
0
32
32
0
0
8
0
4
0
0
8
8
8
8
0
0
8
24
0
16
16
16
16
16
0
16
2
2
2
32
1
1
2
2
2
1
1
8
0
0
24
24
20
20
20
20
8
8
4
4
4
4
4
28
4
4
4
4
4
0
0
16
16
8
0
0
2
43
40
6
6
6
4
8
8
8
16
1
1
0
8
8
0
8
8
4
0
0
20
8
8
8
0
4
8
8
24
24
16
16
24
24
28
8
16
4
16
28
12
0
18
2
18
54
20
2
2
16
16
16
16
15
15
0
36
16
8
0
8
8
8
16
0
0
4
4
4
8
8
8
8
8
16
16
0
8
8
8
8
4
0
16
16
0
0
0
0
8
8
4
8
0
16
16
16
16
8
8
8
8
16
16
0
0
16
16
16
16
8
40
40
40
0
0
1
1
1
1
0
8
8
16
0
0
0
0
0
8
8
8
9
9
9
1
8
0
4
4
0
0
0
0
0
1
0
0
0
1
8
0
0
0
0
0
2
4
4
0
24
24
8
8
8
8
8
8
16
16
16
0
0
0
0
0
16
16
2
2
0
1
1
0
4
4
5
0
8
8
5
16
16
16
16
16
8
8
8
0
16
32
0
8
16
4
4
16
20
4
8
8
24
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
1
9
0
0
24
16
8
8
8
8
1
8
8
1
16
0
16
16
0
4
4
1
1
1
1
1
8
8
8
8
8
8
0
0
8
8
32
32
32
0
33
8
4
0
1
32
8
16
16
16
16
16
0
0
0
0
0
16
16
16
0
0
0
16
2
2
0
20
16
0
8
8
8
8
8
8
0
1
1
8
8
3
3
8
1
1
0
0
0
8
0
0
16
0
32
0
4
8
1
12
8
8
0
0
2
1
1
1
0
0
0
0
4
4
4
2
1
1
8
1
8
1
4
4
4
4
12
0
0
0
8
8
8
8
0
0
0
4
0
0
4
4
0
0
0
4
4
12
0
0
0
0
16
0
0
22
22
22
8
8
8
8
4
4
0
12
12
12
16
0
0
0
0
0
16
8
0
0
40
8
0
8
8
4
4
4
16
0
0
0
0
16
16
21
21
8
0
0
0
0
4
0
0
0
2
16
2
2
2
0
16
4
0
24
16
0
0
0
16
8
2
16
2
2
0
16
25
16
8
8
8
0
8
8
0
0
0
8
8
32
9
0
4
4
4
2
0
0
16
0
8
8
8
8
8
8
8
41
8
24
24
24
24
24
0
0
0
0
8
8
8
0
6
0
16
16
0
0
0
0
0
0
8
8
22
4
18
24
16
8
8
0
16
1
0
26
26
8
8
8
8
8
8
0
16
16
16
16
8
0
0
18
2
2
2
2
2
0
0
0
0
0
2
4
4
4
4
24
8
8
0
0
0
0
24
24
24
24
24
0
8
8
1
4
4
0
0
20
4
4
16
16
0
16
16
16
16
8
0
0
8
8
0
40
4
4
0
0
16
0
2
2
8
0
2
3
0
16
20
0
0
8
8
8
40
40
48
4
4
4
16
0
0
8
8
8
4
9
0
0
0
8
8
8
8
25
0
12
28
8
8
8
8
8
16
8
8
8
4
4
5
8
8
8
0
16
16
16
16
8
8
8
8
16
16
4
4
12
8
8
0
8
8
8
0
0
8
16
16
0
1
4
4
16
16
16
0
8
8
0
8
24
8
4
4
1
1
4
4
0
0
2
2
8
8
8
8
8
8
8
16
16
16
0
0
16
16
0
8
0
0
0
8
8
8
0
16
16
0
4
4
8
8
8
8
4
8
16
20
20
0
16
16
16
0
16
0
8
8
8
8
16
8
0
0
0
24
24
0
0
0
0
24
0
0
0
0
0
0
0
8
0
48
0
0
2
0
0
32
6
4
4
0
8
8
8
8
0
8
8
8
20
20
38
38
16
16
9
9
8
16
16
16
0
24
24
8
8
0
0
4
4
16
8
8
8
0
0
0
0
16
24
2
0
0
8
8
4
4
4
8
8
16
16
16
8
8
0
2
16
0
16
16
8
24
8
8
0
0
0
0
16
4
8
8
16
4
0
0
20
4
8
8
8
8
8
8
8
32
16
16
0
8
8
8
8
24
24
24
8
10
16
16
0
8
0
16
16
16
8
24
24
8
8
16
0
17
1
1
18
0
33
4
4
27
27
4
4
8
16
16
0
8
8
8
2
8
12
32
32
32
20
20
16
16
8
22
24
24
24
0
4
2
18
8
24
4
4
4
4
0
8
16
4
4
4
0
8
0
0
0
32
4
32
24
24
24
24
2
2
8
8
8
0
0
0
16
16
16
8
1
1
8
20
6
6
0
0
8
8
48
4
2
0
0
0
0
0
0
8
8
32
32
8
8
16
4
4
4
0
24
24
4
8
8
8
8
0
0
0
16
16
8
8
1
1
1
1
24
24
24
0
4
8
8
0
0
0
0
8
8
8
8
0
8
8
4
20
16
16
16
8
12
8
0
10
8
0
8
8
8
0
20
9
4
16
20
22
8
8
0
0
16
24
0
24
0
0
8
8
8
8
8
32
32
8
8
0
0
1
1
16
16
4
8
8
16
32
32
32
32
0
0
4
16
26
16
1
1
0
16
4
0
32
0
16
5
1
8
16
0
8
8
8
8
8
4
18
18
0
0
0
0
0
0
8
8
8
12
12
0
8
8
8
8
8
8
8
8
0
0
8
0
8
18
0
2
2
0
12
12
16
16
16
4
24
24
1
1
0
8
8
8
8
8
8
4
36
36
0
0
8
8
8
24
8
0
0
34
34
4
8
8
8
8
8
8
8
19
19
19
0
28
0
0
4
4
4
4
4
4
4
4
4
8
2
2
2
8
8
8
12
0
0
0
0
0
16
16
16
16
16
16
16
0
16
16
0
8
20
43
24
16
1
1
1
1
8
0
9
0
6
24
1
1
8
4
12
6
8
8
10
8
8
4
0
0
20
17
17
17
32
32
32
32
24
8
8
8
0
0
0
8
8
8
8
12
0
8
20
8
8
8
0
0
8
8
8
16
16
8
8
0
28
8
0
8
8
2
2
16
16
24
24
0
1
16
8
0
16
2
20
16
16
16
0
16
50
16
0
24
16
24
0
0
16
16
16
8
8
0
12
12
12
4
8
0
0
8
8
8
28
8
0
24
16
16
16
16
16
0
8
8
8
16
16
16
16
16
16
12
16
16
16
16
0
8
8
8
8
8
4
4
32
32
32
32
8
16
16
0
4
0
0
0
16
16
12
16
16
16
0
0
4
17
17
8
24
24
8
8
8
8
8
8
0
0
0
0
4
0
8
8
8
24
24
16
8
2
2
2
0
0
28
20
1
0
0
28
8
8
8
8
32
0
0
0
0
16
16
16
8
8
24
24
2
2
32
32
2
2
16
16
16
16
16
16
16
16
16
0
0
4
0
8
8
0
0
8
4
4
16
1
1
0
4
12
8
8
32
2
2
8
8
8
8
8
8
16
16
2
1
1
4
8
0
8
8
8
8
8
8
16
16
0
1
1
0
0
0
0
0
8
12
8
8
8
16
16
16
24
24
16
16
0
0
8
8
8
8
8
0
16
1
1
1
1
1
1
1
1
1
4
17
17
8
16
4
0
8
8
0
0
0
0
8
8
8
8
1
2
2
28
8
1
1
8
8
8
8
0
17
0
8
8
8
8
8
8
8
0
16
8
8
8
8
8
24
0
4
0
17
0
0
16
0
16
16
2
1
2
8
13
20
16
16
16
16
16
1
40
40
0
0
0
8
8
0
0
16
8
0
0
2
0
0
0
8
0
24
24
24
0
0
4
4
0
0
16
0
20
20
20
20
0
18
2
8
8
19
2
2
2
2
2
2
0
8
8
8
24
16
16
16
8
8
8
8
8
0
8
8
22
8
2
16
1
16
16
16
25
16
8
0
0
0
0
0
0
8
0
0
4
8
16
24
8
8
20
20
20
20
20
8
8
3
16
16
16
16
16
0
0
2
2
4
0
16
0
0
0
0
0
0
8
8
8
16
8
8
8
0
0
16
0
0
1
16
16
0
32
8
8
8
8
4
0
0
4
0
0
0
8
8
8
2
2
16
16
8
8
8
8
8
8
8
40
40
1
1
0
0
16
16
16
0
16
4
4
4
8
4
4
0
0
8
4
8
8
8
8
8
24
0
24
24
0
1
1
8
8
8
16
16
2
2
0
4
20
4
8
8
2
8
8
0
2
2
8
32
8
8
8
8
4
4
4
0
2
0
8
8
8
16
8
16
16
24
1
8
8
8
8
8
8
4
16
8
8
1
1
1
0
0
0
0
8
8
8
0
0
0
1
1
1
16
8
0
2
1
1
16
8
8
2
0
0
0
24
24
0
1
24
0
40
40
4
0
0
0
16
12
8
0
4
4
4
4
4
4
0
24
24
0
0
16
8
8
8
8
16
8
8
4
4
4
0
8
8
16
16
0
0
1
1
1
1
16
16
0
1
4
4
4
0
8
8
8
0
8
8
36
8
8
8
8
0
0
16
0
4
4
0
0
0
27
27
16
16
8
4
4
16
8
0
0
4
4
4
4
4
0
0
0
16
16
16
16
0
0
0
0
2
1
1
0
0
8
0
4
4
16
0
4
4
0
16
16
16
8
0
0
1
1
8
18
16
16
0
0
0
16
8
4
18
22
22
16
8
8
8
8
8
8
4
0
1
1
1
16
16
16
8
8
8
0
16
16
8
0
0
12
8
8
8
0
0
16
16
16
0
8
8
8
8
8
8
8
30
26
0
0
16
17
24
16
0
16
16
16
16
8
8
8
8
8
8
8
8
8
0
10
8
8
0
0
16
20
2
1
16
20
16
16
16
16
16
0
8
56
8
8
8
8
0
2
2
2
0
24
32
16
0
0
0
16
6
2
2
2
2
0
0
0
16
16
8
8
0
8
8
8
4
1
1
8
8
24
24
17
16
8
8
8
1
1
1
0
20
20
16
16
16
8
25
0
24
24
0
8
4
8
2
2
2
0
1
1
1
1
16
16
16
32
16
26
17
8
1
32
8
8
0
24
16
8
12
24
16
0
8
8
0
0
0
0
4
4
4
16
16
16
16
0
0
0
0
8
0
8
8
8
8
8
8
1
0
0
0
0
8
24
8
8
8
8
8
4
16
16
16
4
0
32
0
0
8
8
0
4
0
0
1
1
1
16
10
8
8
2
16
16
16
0
0
0
0
0
0
0
0
16
16
20
4
4
4
0
0
32
8
8
8
0
1
0
0
0
0
0
2
2
8
10
0
0
0
8
8
0
8
8
4
0
0
0
8
8
8
8
16
16
0
8
8
8
8
8
20
20
20
2
8
8
8
24
28
24
0
0
8
16
16
16
0
1
0
34
34
34
16
0
8
2
8
8
8
0
0
8
16
22
16
16
8
8
8
6
32
32
0
8
0
0
0
0
2
2
8
4
32
0
2
8
8
8
8
32
12
16
8
8
8
0
0
8
16
16
0
8
8
0
8
4
4
4
16
0
4
0
16
20
20
1
4
4
0
0
16
16
16
16
16
16
8
8
20
8
0
16
16
16
32
0
0
0
0
8
0
8
8
8
8
8
8
8
8
8
16
16
16
16
0
0
0
0
2
2
2
4
2
6
8
0
0
0
16
16
16
16
16
16
16
16
1
4
1
1
22
22
8
8
0
0
3
3
0
0
0
0
0
8
16
16
0
0
0
0
0
18
18
18
48
48
0
8
8
8
8
16
20
8
8
8
8
4
4
4
4
4
4
4
0
8
0
4
4
4
20
16
0
0
0
26
1
1
1
1
0
0
0
0
0
0
32
32
9
9
0
24
0
0
16
16
16
0
0
4
16
16
16
16
16
8
8
8
8
8
16
16
16
24
8
8
0
8
8
8
16
20
16
18
0
8
0
0
0
2
2
0
0
0
0
4
4
2
10
2
4
8
8
16
16
16
16
16
16
18
16
16
18
0
8
0
8
8
0
1
0
4
0
12
8
8
8
2
2
6
8
8
8
8
8
24
8
8
8
16
16
16
0
0
0
4
4
16
8
8
8
0
0
0
0
8
8
1
1
0
0
8
8
8
0
0
0
8
8
8
0
0
8
8
0
8
24
8
8
8
0
4
4
9
24
24
0
0
8
0
0
4
8
0
8
8
8
8
24
8
2
24
0
0
16
16
8
8
1
1
4
8
8
8
8
8
8
16
24
16
4
8
8
8
4
4
0
2
0
8
0
1
4
4
4
25
0
16
16
16
16
8
0
32
32
32
0
0
16
4
6
2
2
24
16
4
0
4
0
24
8
0
16
16
0
0
24
8
8
0
16
8
8
0
1
0
24
8
8
8
8
0
0
8
8
24
24
16
16
16
16
8
16
16
16
8
8
8
8
18
18
5
5
8
8
0
18
2
0
1
18
8
26
2
2
2
2
2
2
8
8
8
0
10
10
10
10
16
10
8
8
16
1
0
8
8
8
28
0
0
1
0
8
8
4
0
0
0
0
0
0
0
0
0
0
16
16
0
4
28
2
33
16
16
16
16
16
16
0
0
8
8
0
0
4
4
16
16
24
8
8
8
8
8
16
24
4
4
4
0
0
0
16
0
4
4
4
0
17
0
0
0
0
16
16
16
0
0
16
17
4
19
16
16
0
0
16
0
0
2
4
4
0
0
16
0
16
16
16
16
16
32
0
0
0
16
16
7
18
16
16
16
0
16
16
0
0
0
0
0
8
24
8
8
12
10
10
10
0
16
0
0
32
32
32
32
16
8
24
8
0
20
8
8
8
8
0
0
0
8
8
8
8
8
16
16
16
16
16
8
8
16
0
8
0
0
0
8
8
8
0
2
2
10
2
0
0
0
8
8
8
24
24
16
16
0
4
4
4
8
8
8
8
8
3
1
16
24
24
0
0
18
16
0
0
8
8
24
24
8
16
8
16
0
24
8
16
0
0
0
0
0
0
0
0
16
8
4
57
8
8
8
8
8
32
32
0
0
0
8
8
8
8
8
8
8
2
2
2
2
2
2
6
6
16
16
16
16
16
16
9
16
24
24
0
4
4
8
8
8
8
8
8
8
0
0
8
8
8
8
1
4
16
0
0
8
8
8
4
4
4
16
8
24
8
8
16
16
0
2
0
0
32
16
16
9
24
24
24
8
16
16
17
0
0
0
0
8
1
0
0
24
24
8
16
24
0
0
16
16
8
8
8
8
4
0
0
0
8
4
4
4
4
4
4
21
5
16
16
16
16
0
8
8
0
0
0
4
4
4
4
4
4
0
0
2
0
8
24
8
57
57
57
57
8
8
8
8
2
22
16
16
16
0
16
16
0
1
8
8
2
1
1
1
8
8
8
16
8
8
0
0
0
16
16
16
4
29
0
0
4
0
0
0
24
16
2
0
24
24
24
24
54
54
16
0
4
4
4
4
4
4
4
4
12
12
12
8
0
14
1
1
1
0
8
8
0
16
16
16
0
0
0
16
8
8
0
0
16
8
24
8
8
8
8
2
1
0
8
8
4
4
0
0
0
1
0
8
16
8
0
0
0
0
0
0
8
8
0
2
0
0
0
16
2
2
16
8
0
0
24
0
0
0
1
16
16
8
8
8
8
8
9
8
16
16
16
16
18
18
4
4
0
4
4
16
16
1
1
0
4
4
16
17
0
25
16
16
4
0
8
16
28
16
2
2
2
0
0
1
4
1
5
0
0
40
2
2
2
2
8
8
0
0
0
0
24
0
8
8
2
2
16
16
4
4
4
16
16
8
0
1
0
8
0
19
2
4
12
16
0
0
16
20
8
0
0
34
0
6
2
8
8
8
8
8
2
2
16
8
0
0
0
8
8
8
0
0
0
2
0
0
16
0
0
0
0
1
1
8
8
16
16
24
16
0
2
8
10
2
4
8
8
8
8
8
8
0
0
4
4
17
0
0
1
1
1
0
28
28
9
1
1
1
0
8
16
16
0
0
1
1
8
8
0
8
8
8
8
8
2
8
4
4
0
0
0
8
0
4
0
24
24
24
24
16
0
0
0
1
1
1
1
8
0
4
12
4
12
4
4
4
4
0
0
4
4
4
4
0
0
0
1
1
1
0
8
2
2
2
0
0
0
16
16
16
32
41
41
0
8
8
8
16
0
8
8
0
8
0
24
8
24
8
8
0
0
24
24
4
24
8
8
0
8
8
8
8
1
0
0
2
2
2
8
9
0
24
8
49
4
12
0
0
0
8
8
2
8
8
4
28
0
0
4
4
4
16
0
0
0
0
8
0
0
4
4
4
16
16
16
16
16
0
0
2
16
8
24
24
24
24
8
8
8
8
8
8
0
0
12
0
0
0
24
8
8
8
8
32
8
4
4
4
16
4
4
4
4
4
4
4
16
16
2
2
2
2
0
8
8
8
4
4
8
40
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
0
0
9
1
0
16
18
16
2
11
11
24
8
8
16
16
26
0
0
4
4
4
0
0
0
0
8
8
8
8
4
4
0
0
9
0
0
4
0
0
0
0
0
0
0
4
4
8
8
8
0
12
0
16
16
8
2
10
24
16
8
4
4
0
1
1
4
4
8
8
0
8
8
8
4
8
24
8
8
8
8
16
16
16
2
8
8
8
1
1
1
1
1
8
8
8
8
8
8
8
1
1
1
12
12
1
0
0
0
8
0
16
16
16
16
16
16
16
16
16
16
2
2
2
2
2
1
1
0
8
8
8
24
8
0
8
8
0
8
2
4
8
8
0
0
16
32
8
8
0
0
0
0
0
2
16
16
0
0
0
2
2
2
22
8
8
8
0
16
16
0
16
0
16
16
16
16
16
8
8
8
8
8
8
8
24
4
4
4
4
0
0
0
4
10
0
8
0
4
8
8
8
8
1
8
8
1
4
4
4
4
4
0
0
8
8
0
0
4
4
0
12
16
8
16
16
8
8
8
8
0
16
0
8
8
0
0
2
0
1
0
16
0
0
8
8
8
8
2
2
8
8
8
8
0
0
16
16
16
0
1
16
16
2
2
18
0
16
16
8
8
8
0
0
1
1
8
8
8
8
8
8
16
16
0
0
0
0
16
0
16
16
8
8
4
4
8
8
1
8
8
0
0
16
16
24
8
0
2
2
4
3
19
8
0
0
16
0
20
20
20
8
8
8
0
8
0
16
16
8
8
8
8
4
4
12
8
8
8
0
0
40
16
16
16
8
8
8
8
8
0
16
16
16
0
0
0
1
1
0
0
0
24
24
0
8
8
8
8
8
8
8
8
2
2
5
21
0
1
0
8
0
0
0
2
2
0
0
0
49
0
8
8
0
0
0
24
24
2
2
2
0
17
17
17
17
8
0
8
8
4
4
16
0
16
16
0
1
8
16
8
8
0
0
0
20
20
0
8
8
8
8
0
8
8
8
0
0
4
12
4
4
8
8
4
12
32
0
0
0
20
0
0
0
8
8
8
8
8
8
0
16
19
2
1
16
8
8
0
32
32
32
2
0
0
16
16
16
16
16
16
9
8
16
0
0
8
4
0
0
8
8
0
0
18
9
8
8
8
24
16
16
16
16
16
16
16
16
16
16
16
0
16
16
8
8
8
8
16
16
8
8
16
16
2
0
0
0
0
0
2
32
0
0
8
8
8
0
0
8
8
16
16
0
0
4
4
0
0
0
0
16
16
8
24
0
0
0
32
49
32
2
2
4
10
4
4
4
4
3
16
16
8
0
21
4
2
17
17
9
9
1
8
1
0
8
8
0
0
24
24
16
16
16
0
0
8
8
24
24
16
16
8
16
9
1
16
8
8
8
8
0
8
8
8
0
4
0
8
18
0
0
0
0
0
0
0
0
0
2
2
2
2
4
4
4
4
0
16
16
0
24
24
8
8
4
4
1
1
8
8
8
8
8
8
8
8
0
16
24
16
16
16
0
8
8
8
2
2
2
2
2
2
2
16
2
8
8
2
0
8
8
16
1
8
8
8
16
16
1
1
1
4
0
0
20
20
0
0
2
16
8
8
0
0
0
1
20
20
2
0
16
4
4
0
16
16
0
16
16
0
0
32
0
24
8
2
2
2
16
32
4
1
1
1
8
4
8
16
16
0
16
16
16
0
0
0
16
16
16
0
4
8
19
3
16
0
0
0
2
0
0
24
2
2
32
16
48
16
8
16
0
0
8
8
8
0
8
8
1
16
8
8
0
0
16
9
16
8
8
0
32
4
8
4
0
1
0
12
8
8
0
16
16
8
0
0
0
8
8
2
2
2
2
0
16
16
16
0
0
8
0
0
8
8
1
1
0
8
24
24
24
8
8
8
8
0
0
0
1
33
33
8
8
2
17
0
0
0
0
8
8
0
0
2
1
1
8
8
1
2
2
8
24
24
8
8
1
16
8
8
8
24
16
2
8
8
8
8
8
8
8
8
8
8
1
1
1
0
8
8
8
8
8
8
8
8
8
8
8
0
8
8
0
2
0
32
32
32
32
8
32
32
0
4
4
4
2
2
8
16
0
0
0
0
0
8
0
0
16
16
0
0
0
0
0
2
2
0
16
16
0
0
0
0
1
9
4
8
0
16
8
8
8
0
0
0
16
16
16
0
0
16
16
8
16
0
0
0
0
16
16
0
4
4
8
4
0
0
0
1
1
1
0
0
0
32
32
33
0
0
0
0
0
16
24
24
16
0
16
18
0
0
0
8
8
8
8
4
4
12
4
0
11
16
16
8
8
0
0
8
0
0
0
0
4
32
8
8
8
0
0
0
0
0
2
2
8
8
8
12
8
8
4
4
15
4
1
1
24
24
16
16
1
0
0
8
8
8
8
0
2
1
24
24
4
4
4
4
4
24
16
0
0
0
0
8
0
10
10
8
8
0
0
2
2
8
24
8
8
8
8
8
8
8
4
4
4
0
0
0
0
0
16
4
8
8
8
4
4
4
2
2
2
0
8
8
8
24
16
1
8
16
24
24
24
24
16
16
8
8
8
0
1
1
0
16
16
4
2
2
2
2
0
0
4
4
0
0
16
16
16
8
4
4
8
8
8
0
0
0
4
0
8
8
8
16
16
0
8
8
8
8
8
8
0
0
24
8
8
8
8
4
4
4
8
8
4
0
0
0
16
16
16
0
1
0
0
20
16
9
9
1
2
0
4
4
16
16
24
24
0
0
4
4
4
4
4
0
1
0
0
0
8
8
8
8
1
1
1
16
0
17
8
8
16
1
29
29
0
8
16
0
0
24
0
0
0
0
0
0
8
0
0
0
16
1
1
17
1
0
0
16
0
1
1
0
8
8
8
8
1
1
1
8
16
20
20
2
0
16
8
0
0
16
16
16
16
16
16
16
0
0
16
16
8
0
24
8
8
16
16
16
4
1
1
1
1
1
8
8
2
2
4
4
2
8
0
4
6
24
8
0
16
0
8
0
0
0
0
0
0
42
42
8
8
8
16
16
3
2
2
2
2
8
0
8
8
8
8
12
8
8
8
0
16
16
0
0
2
16
8
8
0
0
0
0
24
40
16
16
8
1
1
32
32
4
4
16
16
16
16
8
1
8
8
8
8
32
8
8
4
4
4
8
1
8
8
0
0
0
0
16
16
16
4
8
8
8
9
0
0
0
0
0
2
2
0
0
2
24
26
1
0
0
24
24
0
0
4
16
16
8
1
16
16
16
8
8
8
8
0
0
0
0
0
8
8
32
8
8
0
4
4
8
1
2
4
6
4
2
4
0
2
2
32
4
12
0
0
8
8
16
0
0
0
1
8
8
18
2
0
0
2
2
2
2
8
8
5
21
5
16
16
16
0
8
4
0
0
0
8
8
8
40
8
8
0
8
16
16
0
8
0
0
0
0
0
0
2
2
0
16
2
34
34
1
17
16
16
0
0
0
8
8
8
8
8
1
16
4
2
8
8
0
4
16
16
0
0
8
4
4
20
4
8
8
8
8
8
40
42
0
8
8
8
8
0
0
10
0
16
8
8
8
8
32
32
16
30
4
16
16
16
16
0
4
0
0
0
9
16
17
16
16
16
16
16
16
16
0
0
2
2
8
8
0
0
0
16
2
2
0
16
16
4
0
0
0
2
4
0
0
2
2
2
2
16
16
17
0
16
24
24
0
0
8
8
11
8
0
17
17
0
16
4
4
0
6
1
1
0
8
8
12
16
16
16
16
24
24
8
8
0
16
16
0
8
8
8
0
0
0
0
0
16
8
16
16
2
2
16
16
16
16
16
16
16
16
8
2
18
0
0
0
0
42
42
4
0
20
20
20
0
8
1
1
1
8
0
0
0
8
0
0
0
0
0
18
16
4
0
28
16
4
4
4
0
8
8
16
16
1
24
0
8
0
0
0
0
0
0
0
8
8
8
0
8
8
24
8
8
8
8
8
8
8
8
8
18
2
2
24
8
8
16
8
24
0
17
16
16
16
16
16
16
16
8
0
8
8
8
8
8
16
16
0
4
0
0
0
8
16
1
0
0
0
0
0
4
4
4
0
0
8
3
3
3
9
1
8
8
8
1
1
1
8
36
4
4
1
16
16
8
8
32
0
0
0
8
8
8
8
9
9
0
0
0
4
16
1
0
8
28
8
8
16
20
0
0
0
0
16
4
4
4
10
8
8
16
8
8
8
0
8
0
4
8
0
0
8
8
8
8
0
16
17
16
16
0
4
4
4
4
4
8
8
8
0
20
16
4
1
1
8
0
0
12
12
12
0
8
8
2
24
8
0
0
0
1
12
12
12
12
12
12
16
26
0
4
0
4
6
2
6
0
0
8
8
8
17
0
0
0
8
8
10
16
16
2
8
0
0
0
0
0
8
4
4
4
0
8
16
16
16
6
16
28
2
16
16
0
0
0
32
8
8
8
8
32
32
32
16
16
1
1
1
4
4
8
8
9
8
8
8
8
8
8
8
8
8
8
0
0
0
0
16
8
8
16
16
16
16
16
16
8
8
8
8
8
0
0
22
8
8
8
8
4
4
4
4
14
16
8
8
8
8
0
0
0
0
8
8
0
0
16
16
0
4
4
7
0
0
3
20
20
20
4
4
4
4
4
9
8
16
16
16
16
0
2
18
0
0
0
1
1
8
8
8
8
0
8
8
8
32
32
32
32
32
32
16
0
16
16
16
16
56
24
0
24
3
3
0
0
9
1
8
8
16
0
2
2
16
16
16
2
2
1
6
6
2
8
2
16
0
0
0
0
0
0
0
0
2
2
1
16
16
0
0
8
8
16
16
16
0
0
0
0
0
0
0
8
8
8
8
8
8
0
0
28
32
12
0
4
8
8
16
16
8
8
0
0
0
0
0
12
0
0
0
0
0
0
8
8
8
8
0
24
24
24
24
8
8
0
0
0
0
8
22
2
16
16
6
4
0
0
1
17
25
8
8
8
0
16
8
16
16
16
16
16
16
16
16
0
16
16
4
16
16
16
16
0
0
0
4
4
4
4
16
4
4
4
32
32
4
0
0
0
16
12
12
8
61
8
0
0
12
8
8
8
1
12
12
0
0
8
8
20
20
16
16
16
16
16
16
16
16
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
6
6
13
4
0
1
8
8
0
16
8
16
16
16
16
8
8
0
21
21
8
24
0
0
4
8
16
0
16
16
16
16
4
16
0
24
6
8
0
4
8
24
0
8
0
24
20
0
2
0
0
16
24
24
16
16
16
4
1
1
1
8
32
32
8
8
32
32
32
0
12
8
16
0
4
13
8
8
9
8
0
0
2
2
2
0
0
17
0
0
0
1
4
0
8
8
8
8
8
0
8
8
8
8
0
0
0
4
4
4
4
4
8
8
8
8
2
8
0
24
0
0
2
2
8
8
8
8
2
2
8
8
8
0
0
0
0
0
4
4
0
0
16
16
12
24
24
16
24
24
24
24
3
8
8
25
1
4
4
4
2
2
0
0
0
1
1
16
0
16
16
0
0
0
0
24
24
24
8
24
8
8
0
16
4
0
10
16
26
8
8
16
16
8
8
0
24
0
0
0
0
17
16
1
8
4
4
4
12
0
0
0
16
16
16
0
8
8
8
8
8
8
2
2
2
0
0
0
0
0
8
6
0
16
16
24
8
8
8
20
20
20
0
12
12
48
16
16
16
16
16
16
0
8
8
8
8
8
8
0
0
0
1
18
18
24
24
24
32
3
0
0
0
0
0
0
4
4
4
4
0
0
24
24
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
16
24
16
16
0
8
8
24
24
24
8
8
8
8
20
4
4
4
8
8
8
0
8
8
0
8
8
8
0
0
1
1
1
0
8
8
8
8
8
8
2
2
2
48
0
8
24
8
8
8
8
0
16
16
8
24
0
0
4
8
9
8
8
0
8
8
8
0
0
8
8
1
0
0
16
0
0
8
1
9
1
1
16
8
8
8
16
16
16
0
0
0
0
16
8
5
0
0
16
16
16
8
8
8
8
8
8
6
0
0
0
0
4
4
4
8
0
0
0
8
8
16
16
16
16
0
0
8
8
8
8
16
24
2
2
2
0
0
0
8
8
8
8
24
24
0
0
16
6
8
8
8
8
8
8
8
8
16
16
16
4
32
2
0
0
8
8
8
8
0
0
16
0
0
13
8
8
8
8
4
4
4
4
8
8
8
0
0
8
8
0
0
0
0
0
4
4
4
0
8
8
4
8
4
4
4
4
10
10
10
10
10
10
2
16
1
9
1
17
24
24
8
8
2
0
12
12
8
8
8
48
8
0
0
0
0
0
8
24
24
24
24
24
0
0
0
8
16
0
0
0
4
4
4
8
8
8
0
1
1
4
12
4
8
0
0
0
8
8
8
8
8
8
8
5
6
6
4
4
16
16
8
0
8
8
1
1
0
0
1
1
16
0
0
8
1
4
28
16
1
16
12
12
16
4
8
8
16
16
16
8
24
8
8
0
0
0
8
8
16
8
8
8
16
16
16
16
16
0
0
9
9
9
4
8
8
8
8
8
16
4
6
0
16
16
16
2
8
8
1
1
1
8
4
4
4
24
24
0
16
16
16
9
0
8
56
0
0
0
0
4
24
8
8
8
8
0
0
8
8
1
16
8
16
16
0
16
16
0
8
8
2
2
2
2
2
2
0
16
0
0
16
18
16
16
1
16
16
0
8
8
8
8
1
8
0
0
24
24
0
0
0
16
16
2
0
18
16
16
0
18
0
0
32
4
4
0
0
8
8
33
33
8
8
16
4
0
16
8
8
8
8
8
8
1
16
4
4
28
2
16
16
16
16
16
16
16
2
3
8
8
8
8
16
2
0
0
8
0
0
4
4
1
27
4
4
8
8
8
8
2
2
0
16
0
18
16
16
16
8
5
16
8
4
24
24
32
0
0
0
0
0
20
20
32
32
4
4
4
16
8
1
1
0
1
8
8
8
8
0
0
2
6
1
8
32
32
0
1
0
16
8
0
8
16
0
8
8
20
0
16
0
0
0
0
0
0
0
4
4
8
8
8
0
16
24
8
16
16
16
16
0
24
0
22
0
8
8
8
8
8
8
8
8
8
8
18
18
0
0
2
2
8
1
8
8
8
8
4
8
12
12
0
0
16
16
0
8
8
8
1
0
0
48
48
16
16
8
8
0
0
0
8
0
0
8
8
24
1
1
0
4
4
4
0
0
16
8
8
8
8
16
16
16
16
0
0
0
0
5
0
0
0
20
20
1
25
4
2
0
4
4
0
0
0
0
0
0
10
16
0
0
18
18
8
2
0
8
8
0
0
0
4
4
24
16
24
16
4
0
0
0
0
0
0
0
8
8
16
16
16
16
16
16
0
0
16
16
1
0
0
8
8
8
0
0
8
32
16
16
4
4
0
0
4
32
8
16
0
0
0
16
8
8
2
2
2
2
32
4
0
0
0
48
0
0
1
8
16
16
2
2
2
1
8
8
8
8
8
8
8
8
38
22
4
38
0
8
1
8
8
16
16
2
2
8
16
16
4
24
8
8
4
4
4
8
1
1
1
1
8
0
8
25
16
0
8
8
16
17
1
2
0
0
8
8
0
4
4
0
16
1
0
0
0
0
4
8
8
8
16
0
8
8
8
1
1
1
8
24
8
8
0
16
16
8
0
0
0
0
16
32
32
32
0
8
0
2
16
16
16
16
20
2
8
8
8
16
16
16
2
2
2
2
16
16
0
0
0
60
8
8
20
20
20
20
4
8
8
8
16
16
16
0
1
1
1
1
8
8
2
0
0
5
24
1
8
24
0
2
0
8
8
16
0
0
2
2
0
8
0
8
8
8
8
8
8
8
1
0
2
8
8
16
16
8
24
16
16
24
16
0
0
0
16
16
16
16
0
0
0
1
0
0
0
0
0
0
0
2
2
2
2
16
2
2
2
2
2
24
16
0
16
8
16
16
8
4
6
6
24
48
8
17
0
24
16
16
16
16
16
16
16
0
4
0
0
16
4
8
8
0
8
0
8
8
8
8
0
0
0
4
4
6
0
0
8
0
0
8
8
8
0
8
24
8
8
16
0
4
0
0
0
0
1
1
8
8
4
0
0
10
2
10
10
1
8
0
0
0
4
12
0
25
8
8
8
8
8
8
3
16
4
4
0
20
20
20
0
0
0
16
16
0
0
8
8
0
0
8
9
9
0
16
8
8
9
8
8
0
0
0
8
8
1
4
4
4
4
4
4
4
4
4
4
0
0
0
8
8
8
8
4
4
4
0
16
0
28
28
28
24
16
16
8
8
8
8
8
8
8
4
4
8
8
8
1
1
1
0
2
2
16
16
16
8
8
0
8
8
0
0
0
0
0
0
4
16
8
4
16
0
0
8
0
0
4
32
8
8
8
8
0
0
0
0
0
25
0
4
0
16
16
0
4
16
20
20
4
8
8
20
8
0
20
8
0
0
0
24
8
8
8
0
16
16
0
0
0
16
16
0
16
5
8
8
9
0
0
1
2
8
8
8
8
16
16
16
4
16
16
12
20
16
16
16
16
16
16
0
8
8
8
0
17
8
8
8
16
24
8
4
4
4
4
0
0
1
1
1
2
2
0
16
0
0
0
8
16
16
16
16
16
8
8
0
0
0
0
0
4
32
16
20
0
0
4
38
0
0
0
0
0
24
0
0
0
8
24
0
0
8
24
8
8
8
8
0
8
8
0
0
16
8
24
16
16
18
2
16
8
8
8
8
0
0
8
0
0
4
49
49
16
16
16
0
24
24
8
8
8
8
16
0
0
48
16
16
8
16
16
16
16
16
0
16
1
16
4
16
0
16
0
16
16
0
16
16
16
16
0
26
24
24
24
16
24
16
0
0
0
0
8
8
8
16
24
16
16
16
0
0
8
12
12
12
8
8
8
8
8
8
4
4
0
4
4
4
0
16
0
16
16
2
2
8
0
0
0
4
20
4
16
0
16
0
0
18
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
8
1
1
0
0
4
4
0
34
34
34
0
0
0
16
16
16
1
2
1
8
0
0
24
16
0
16
16
0
0
8
8
8
2
0
0
0
16
16
16
14
14
16
16
0
0
4
4
8
16
1
0
8
4
0
0
0
1
17
1
4
8
8
16
16
0
0
8
16
8
8
8
8
8
4
0
0
8
57
16
16
16
16
0
0
4
4
4
4
4
4
4
0
16
8
8
8
8
0
0
4
8
0
1
5
0
17
16
8
0
0
4
4
1
8
0
0
0
0
0
16
0
8
8
8
0
0
16
18
18
2
0
16
16
8
0
4
4
4
40
40
40
8
8
8
0
16
16
16
16
16
16
16
16
8
8
8
0
0
16
16
2
18
16
4
4
16
16
0
0
41
0
0
4
2
4
4
4
2
16
16
8
16
16
4
4
4
8
4
0
8
8
0
0
0
0
1
1
1
8
8
8
16
16
16
16
4
16
8
0
1
1
1
4
16
16
26
4
4
4
4
4
4
4
2
2
2
2
0
0
0
0
8
8
8
8
16
0
0
8
24
0
3
3
3
16
0
8
0
0
0
0
4
4
16
16
16
0
28
0
0
0
0
0
8
8
8
8
8
8
8
8
8
0
0
0
16
16
4
4
4
8
8
8
8
0
2
2
16
16
0
0
9
0
8
0
0
18
2
0
0
4
4
16
16
16
16
16
16
0
8
24
8
4
4
2
2
2
27
10
2
8
8
0
0
0
0
0
8
8
8
8
8
8
0
12
8
16
16
16
16
16
16
0
12
8
8
8
0
4
1
0
0
0
0
0
16
1
0
0
12
0
16
16
4
4
24
4
0
8
16
0
16
8
8
16
16
0
0
0
0
0
0
0
8
8
8
0
0
0
8
8
8
8
8
8
16
16
0
0
0
8
8
8
16
0
0
16
8
0
0
0
0
0
24
8
1
1
8
8
8
0
2
8
8
8
8
2
6
2
16
0
0
8
8
8
0
6
8
1
1
4
4
4
4
0
0
32
16
16
16
28
28
28
28
0
0
0
0
4
18
2
2
8
8
1
1
1
1
0
0
8
8
0
0
16
16
16
0
4
4
2
8
8
8
0
4
20
1
1
1
1
0
8
0
0
0
1
1
1
8
8
0
24
24
32
32
32
4
4
0
0
16
8
2
2
2
0
0
0
0
0
0
0
0
0
0
8
0
0
0
8
16
16
16
8
4
0
21
16
1
1
8
8
16
24
8
8
24
0
0
0
0
16
16
4
4
4
24
4
4
4
4
2
18
18
2
8
8
52
8
8
8
16
16
16
16
16
8
16
24
8
8
0
0
4
4
4
8
8
8
1
8
8
8
8
8
0
16
16
0
0
8
16
16
16
12
2
2
16
16
0
1
9
8
8
16
0
0
8
32
8
8
4
8
8
8
8
18
20
16
8
8
8
8
3
3
2
4
16
0
0
0
8
8
8
16
0
0
0
16
16
20
20
2
2
2
8
8
48
0
0
8
8
8
8
8
8
8
0
0
8
8
8
0
0
16
16
16
0
24
8
0
8
8
0
8
8
8
2
2
0
16
16
32
32
8
24
0
0
8
8
0
0
8
4
4
0
0
0
0
16
2
8
8
8
8
8
0
0
0
8
8
16
8
8
8
8
24
24
8
8
8
0
24
40
40
40
0
0
24
16
16
16
16
16
16
0
25
25
24
24
16
16
0
8
8
8
8
8
8
8
0
8
8
8
8
8
8
8
8
1
8
8
0
0
16
0
0
4
4
8
8
8
8
8
0
0
0
0
16
16
16
16
16
16
16
16
24
8
16
17
17
1
0
8
8
8
8
8
4
4
8
8
48
16
0
16
0
0
0
0
0
8
32
32
16
16
0
16
0
0
8
8
0
16
0
16
16
0
0
0
33
33
0
2
16
0
8
8
8
8
8
4
4
8
8
8
8
8
0
0
0
2
2
8
16
16
0
0
1
9
0
16
16
16
16
16
16
0
0
0
8
12
12
12
10
16
16
16
18
0
4
4
0
0
8
8
8
8
8
2
2
2
2
2
2
0
4
4
8
8
16
8
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
8
8
16
16
16
16
16
0
6
6
1
12
12
0
8
8
8
8
8
8
8
8
8
8
8
8
17
17
16
16
16
34
34
34
34
0
32
32
0
8
8
0
16
16
8
8
8
8
8
24
24
16
8
8
0
8
8
0
0
0
0
8
8
8
0
4
4
17
0
0
0
8
2
8
8
8
0
0
0
8
12
0
0
0
16
16
8
16
16
16
8
7
7
0
0
0
8
8
0
0
8
8
8
8
16
24
16
0
0
16
16
16
8
0
0
4
0
0
16
0
8
8
8
16
8
16
8
8
8
4
4
4
16
16
16
4
4
4
4
0
2
0
16
16
8
8
24
40
8
8
8
8
0
0
8
8
8
8
0
0
0
0
29
29
29
29
29
8
8
8
0
0
0
0
0
8
8
0
1
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
8
48
8
8
1
8
16
16
16
16
16
16
16
0
8
16
8
8
8
24
24
16
16
16
16
0
0
8
8
13
0
0
4
8
8
8
8
0
0
0
16
16
0
0
8
8
8
8
8
8
4
4
0
0
0
0
20
20
4
8
8
8
0
8
8
8
0
16
16
16
8
16
16
16
17
16
16
16
0
0
4
4
4
4
0
0
8
8
8
24
16
16
2
4
4
4
8
8
8
8
8
8
8
8
8
16
16
16
16
1
17
2
2
8
8
8
0
1
1
1
6
22
6
16
16
8
16
16
0
8
8
8
2
16
8
8
4
4
12
12
8
8
0
0
0
18
2
0
0
0
0
8
8
0
8
4
0
0
8
12
0
16
16
16
0
0
8
8
16
8
8
24
8
16
8
4
4
1
1
1
1
8
8
0
7
3
56
20
0
16
16
8
0
0
0
4
8
0
0
16
0
16
0
0
8
8
16
0
8
16
8
8
8
16
8
8
32
6
0
16
16
1
1
0
1
16
16
16
8
8
8
8
2
4
4
4
4
25
8
16
16
16
1
1
1
8
0
0
0
2
2
0
0
16
16
0
0
4
12
12
16
0
0
0
28
1
1
4
4
1
16
16
8
0
1
1
0
16
0
20
4
16
0
2
2
2
2
2
8
8
8
8
8
16
24
0
32
32
32
0
0
0
2
16
0
8
0
8
8
8
8
0
6
24
32
0
8
8
8
28
4
8
8
16
16
16
20
20
20
0
8
8
16
16
16
12
12
24
16
24
16
1
1
1
0
0
28
8
8
8
8
8
8
8
4
1
16
16
0
0
4
0
8
8
8
4
16
4
4
8
8
8
32
32
40
8
0
1
1
8
8
0
0
0
1
17
8
0
8
8
0
16
16
8
0
0
1
8
8
8
0
0
0
16
2
2
16
16
0
0
0
0
16
16
2
0
0
0
8
24
8
0
0
0
1
1
0
0
0
32
32
32
12
12
12
12
0
16
0
24
24
0
8
0
0
0
8
8
0
4
8
8
8
8
24
0
32
8
32
0
8
8
28
8
8
8
8
8
0
0
8
0
0
8
0
0
1
1
1
4
4
4
4
8
0
8
8
8
8
8
16
16
0
8
0
0
0
0
2
2
2
2
0
4
16
4
16
2
2
2
8
8
8
8
2
8
8
16
0
0
0
32
16
16
16
17
0
0
0
32
32
32
32
32
1
24
24
8
4
2
6
2
4
16
16
8
8
16
8
8
8
8
0
8
8
0
0
0
0
24
24
16
16
8
8
8
8
8
16
16
8
0
8
8
8
8
0
4
2
8
0
8
8
8
1
9
0
0
8
8
0
0
8
8
8
8
8
16
0
0
0
0
0
16
16
4
4
4
4
0
0
0
8
0
2
2
2
0
16
0
8
8
0
16
0
0
8
8
16
16
8
16
16
16
16
16
20
4
4
0
16
4
8
0
12
16
0
8
8
8
12
12
0
2
2
2
2
8
8
24
24
0
0
8
8
8
8
8
32
32
0
0
0
0
16
16
10
10
8
8
0
1
1
1
1
8
2
2
0
0
0
4
4
4
4
4
8
8
8
8
8
8
16
0
17
0
2
2
0
2
2
2
2
2
3
0
2
2
2
0
8
8
8
8
8
8
16
2
12
12
8
0
8
8
10
0
0
0
8
8
8
8
4
4
1
1
8
8
8
0
0
49
1
1
0
0
0
8
8
8
8
4
4
17
16
0
0
0
16
16
2
2
12
12
12
12
0
4
0
0
16
16
0
0
0
8
8
0
16
16
1
1
4
4
32
40
0
0
0
0
8
4
0
4
4
4
0
0
0
16
1
16
0
0
2
7
7
0
33
33
0
0
8
0
1
1
8
8
16
16
8
0
0
0
0
0
8
20
20
8
8
8
0
1
4
16
16
16
16
0
33
40
2
16
16
0
18
18
0
0
0
0
0
0
16
16
16
0
0
0
0
0
8
8
8
8
8
8
8
16
16
24
0
0
4
4
4
8
8
0
0
0
0
2
18
2
9
8
2
2
8
8
8
0
0
16
8
8
8
0
8
8
8
8
0
20
8
0
0
8
0
8
24
2
2
26
26
20
20
20
1
1
1
16
16
16
0
0
0
24
24
12
12
12
8
0
0
0
0
0
0
1
0
8
2
8
16
16
0
0
8
8
0
8
0
0
28
0
0
16
16
16
16
16
0
8
8
8
8
8
8
0
0
16
24
24
24
8
4
4
8
8
8
0
0
0
0
0
0
16
16
0
8
8
0
0
1
1
0
0
0
0
0
34
34
8
8
8
8
8
8
32
32
32
0
0
8
0
2
2
2
0
0
16
16
8
8
0
16
8
8
8
0
2
8
24
24
0
16
16
2
0
40
12
8
0
16
0
24
2
2
16
16
0
0
0
0
0
0
16
16
8
10
8
8
16
16
16
1
1
8
8
8
8
8
4
9
1
1
8
8
8
8
8
8
14
14
8
8
16
18
0
0
18
8
8
8
0
0
0
0
0
32
8
16
16
16
16
2
18
18
0
3
3
1
1
1
1
0
16
16
16
8
8
9
8
8
8
8
8
0
8
0
8
8
8
8
0
8
8
0
16
16
16
16
0
24
24
0
4
4
0
8
8
8
8
8
0
22
4
0
0
2
2
2
16
4
4
4
8
16
16
16
20
0
0
0
3
0
0
0
0
0
0
0
0
8
8
8
1
1
0
8
8
8
4
4
4
4
1
1
1
1
1
0
16
0
16
16
4
8
8
8
0
0
8
4
2
2
0
0
0
16
0
0
8
16
0
0
18
18
2
0
1
1
1
0
0
8
8
1
1
24
8
8
8
0
16
16
16
0
4
0
32
2
0
0
4
16
24
0
0
0
0
0
10
16
0
0
0
0
0
0
0
17
1
1
24
24
6
8
8
2
0
0
0
16
8
8
8
8
8
8
0
4
8
0
0
0
4
4
0
0
0
24
16
20
20
20
20
20
20
0
0
12
12
12
0
0
8
8
8
16
16
16
9
9
2
2
8
0
0
0
0
0
0
0
10
10
0
0
0
8
8
8
8
8
0
0
8
46
16
16
0
4
8
0
0
4
4
0
0
0
0
0
2
2
2
8
8
8
0
8
16
1
8
0
25
0
8
8
8
8
0
4
4
0
0
8
8
8
8
0
0
0
0
6
24
0
48
48
12
12
0
2
8
8
28
0
16
16
12
2
2
2
0
8
20
0
8
8
8
8
16
16
8
24
0
0
0
0
8
8
0
0
2
2
0
0
0
0
0
0
8
8
2
0
0
10
10
0
0
0
0
0
16
16
16
16
16
0
0
16
12
0
0
0
0
0
16
16
16
16
0
0
0
0
17
17
2
16
0
1
1
4
4
0
1
32
0
0
0
0
24
28
8
8
0
16
16
16
0
0
0
0
0
0
0
0
0
16
0
8
8
8
8
0
0
0
24
24
0
0
0
8
0
0
24
8
8
8
16
24
0
0
4
4
4
4
0
4
4
0
2
2
16
4
0
0
20
16
0
8
8
8
8
8
8
8
25
8
0
24
16
16
16
0
0
0
0
8
0
0
8
8
16
16
0
0
3
3
3
0
0
0
0
24
8
8
4
4
8
8
0
0
26
16
16
16
3
3
3
8
0
0
0
8
8
0
4
16
16
16
8
0
4
0
24
8
8
0
0
0
8
16
0
24
8
8
8
0
0
0
16
24
0
0
0
8
8
0
0
0
16
8
8
46
16
48
48
0
0
0
8
8
8
8
8
8
2
8
49
0
0
8
8
8
8
8
8
8
8
8
8
1
16
16
0
0
0
0
0
0
0
8
0
2
16
16
0
0
12
8
16
16
16
2
0
0
2
32
16
16
8
0
6
0
1
0
0
19
19
0
0
0
0
0
2
2
0
24
0
0
0
4
4
4
2
2
3
3
0
2
2
0
16
16
0
0
0
0
8
16
18
16
16
4
16
16
16
16
16
0
0
0
0
0
0
0
0
0
0
4
4
8
0
0
0
8
0
0
8
8
8
8
16
16
0
16
16
16
4
0
17
0
8
8
8
8
8
8
4
0
8
8
0
0
21
21
16
16
0
8
8
8
8
16
16
0
8
8
0
0
0
0
20
20
20
4
4
0
0
0
16
0
0
0
0
4
4
16
16
4
4
2
2
2
2
1
1
40
40
0
0
8
8
8
8
4
4
0
0
0
0
0
32
32
0
0
0
8
8
8
16
2
7
16
0
0
0
12
16
28
2
6
8
8
2
8
8
12
8
8
8
0
0
0
0
0
0
8
4
0
0
0
0
8
0
0
0
16
16
16
16
16
16
22
16
0
0
8
8
24
24
24
4
4
0
0
16
4
0
8
8
8
8
8
8
8
8
0
0
16
16
16
24
8
8
0
0
2
6
6
0
0
0
32
9
0
17
17
1
16
4
0
0
0
1
16
16
16
0
0
0
0
0
0
1
0
4
25
2
2
0
8
8
1
1
1
17
16
16
16
0
8
8
0
1
16
16
16
2
16
16
0
16
8
8
0
0
16
0
8
16
16
8
16
0
4
4
0
0
0
16
0
8
8
0
0
0
0
12
17
16
0
4
4
4
4
1
0
0
0
0
0
16
8
1
0
0
8
8
8
0
0
8
8
4
16
16
8
8
8
0
0
16
16
4
0
13
0
16
16
0
4
4
8
8
8
8
0
0
0
0
16
0
54
54
0
4
4
4
0
0
0
0
0
16
17
16
0
16
16
16
0
12
8
16
16
48
0
0
0
0
0
8
0
0
16
16
16
1
16
0
0
0
4
4
4
0
0
0
20
24
16
2
1
8
8
8
0
0
0
24
8
8
16
0
16
16
8
8
16
8
8
16
8
8
0
0
0
16
16
0
8
48
0
16
8
1
8
8
16
24
24
24
24
0
0
16
16
0
16
18
0
0
0
17
0
0
0
0
0
0
0
0
0
8
8
8
28
0
2
2
2
0
0
8
9
0
4
2
2
11
0
0
0
4
4
0
0
0
13
8
8
0
0
8
8
8
24
0
20
4
0
0
16
1
24
24
0
20
0
8
0
0
16
8
8
8
16
16
16
0
0
0
4
4
4
0
0
0
0
16
0
0
0
8
8
8
0
0
32
32
32
32
4
0
0
8
8
8
8
8
8
0
0
0
0
0
4
4
0
0
0
0
0
24
24
24
24
24
8
0
8
4
0
0
4
4
0
16
16
0
2
8
6
6
0
4
8
8
8
8
8
8
16
16
16
16
0
8
4
6
0
0
6
6
24
8
24
8
8
8
8
8
8
16
0
0
4
0
16
16
8
0
0
16
16
0
5
0
0
2
32
32
32
0
0
0
4
16
16
20
0
0
0
8
8
8
0
21
18
16
8
8
8
0
12
12
8
0
0
0
5
5
5
5
8
0
8
8
8
8
8
0
0
8
0
0
1
0
0
16
1
4
0
8
0
0
4
4
0
0
0
0
16
16
16
16
16
16
9
9
16
0
8
0
0
0
0
0
0
8
8
0
8
0
0
8
8
0
0
32
32
2
2
16
16
1
1
1
1
0
0
0
0
16
0
0
2
2
4
4
4
0
0
0
12
8
8
0
0
0
0
0
0
8
0
8
0
0
0
0
0
0
8
8
8
8
4
0
0
0
16
0
8
8
8
8
8
8
0
0
20
0
2
2
2
2
2
0
0
4
4
4
4
0
0
8
0
2
8
8
16
0
0
0
2
2
0
0
16
2
4
36
8
0
0
8
8
8
8
0
0
0
0
1
1
1
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
9
8
8
8
0
8
56
8
8
8
0
16
0
0
0
0
0
0
0
1
0
16
16
0
4
0
0
0
0
16
16
16
16
0
0
8
16
24
49
8
4
12
8
0
8
8
8
8
0
32
32
0
20
8
8
8
0
16
17
0
16
16
0
16
16
2
16
8
12
4
16
16
8
24
8
8
8
8
24
24
0
0
0
16
16
16
16
8
0
0
0
0
8
8
0
16
0
4
4
2
2
2
8
8
0
16
8
16
16
0
4
4
0
4
0
0
16
16
40
0
0
0
0
0
0
0
0
4
0
0
0
16
8
8
0
0
8
8
8
13
1
9
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
17
8
8
16
0
0
0
0
0
0
0
0
16
16
0
16
0
18
0
8
8
8
0
2
0
0
0
4
0
0
0
0
8
1
1
0
4
2
0
1
4
0
0
14
16
0
0
2
4
0
0
0
0
0
8
0
8
8
8
0
0
24
0
0
0
0
0
0
0
8
0
28
0
0
0
12
12
12
8
16
0
0
0
0
0
0
0
0
0
8
16
8
8
8
8
8
16
8
8
0
1
1
1
4
21
16
16
1
0
0
0
4
4
4
4
16
16
0
0
0
8
8
8
2
10
2
0
0
0
0
8
12
16
16
16
8
8
8
0
0
12
12
4
16
0
0
0
0
0
0
8
8
8
8
8
16
16
0
0
0
4
28
24
0
0
0
0
16
16
16
8
8
10
8
8
8
28
28
0
0
24
8
8
20
20
16
0
0
0
8
8
8
4
4
0
0
8
8
16
16
8
8
0
16
1
1
1
1
1
1
4
4
16
16
0
0
0
0
0
12
0
8
12
16
16
0
0
0
0
0
0
0
0
16
0
16
0
0
16
0
0
0
0
0
24
24
0
0
8
8
8
8
0
8
48
48
8
8
12
0
8
8
0
1
1
3
43
43
0
8
8
16
16
8
0
0
0
8
8
0
16
16
8
0
0
24
8
0
0
20
4
8
2
0
0
0
8
8
8
16
4
4
4
4
4
0
8
8
8
8
8
0
8
8
1
0
8
8
0
0
4
4
0
0
0
8
0
36
52
0
0
0
8
8
16
16
0
0
0
0
8
8
8
0
2
2
2
0
0
0
0
1
2
2
8
8
8
8
8
8
8
0
17
16
0
9
0
0
8
8
0
0
0
6
16
16
0
4
0
16
16
0
0
16
8
8
0
0
17
16
8
28
0
0
2
2
0
0
16
2
0
9
0
0
0
16
16
8
8
0
4
0
4
24
24
24
8
8
0
16
8
8
16
8
2
8
8
8
4
2
2
0
0
0
0
0
0
4
4
2
2
2
8
8
8
8
24
8
4
0
0
0
0
0
0
0
0
0
8
1
1
1
8
34
34
42
0
0
0
0
16
16
2
0
4
0
0
0
8
8
4
4
0
1
18
18
0
0
0
0
0
8
8
8
0
0
0
0
16
8
16
18
0
0
0
0
16
8
0
2
2
0
8
24
16
16
0
8
8
8
8
0
16
16
2
2
2
0
0
0
8
0
0
8
4
4
4
48
30
0
0
2
2
2
2
8
4
4
4
4
4
4
4
8
8
8
0
8
24
1
1
1
0
0
32
32
16
1
1
0
16
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
8
0
0
0
0
4
4
4
4
4
4
4
8
8
8
8
8
0
10
0
0
8
8
8
0
32
32
0
0
8
8
16
16
24
24
0
0
0
0
0
0
0
16
16
0
0
0
18
1
1
1
0
0
0
0
8
16
24
8
0
24
24
0
1
1
1
1
4
4
4
0
0
0
0
25
2
2
4
0
8
8
2
2
2
0
0
16
0
16
16
16
0
0
24
16
8
0
0
0
0
0
8
8
8
0
0
0
0
0
28
9
0
0
16
16
16
8
0
0
0
0
8
4
4
4
24
8
0
0
0
2
8
8
8
8
22
6
6
8
8
8
0
0
4
2
4
20
16
0
2
0
0
0
0
0
32
0
0
0
24
24
24
56
16
24
24
8
8
16
0
0
0
0
0
0
0
0
0
16
16
4
16
0
8
16
16
0
0
2
2
16
16
16
16
8
8
8
8
2
0
16
16
16
16
24
32
0
0
2
2
2
2
2
0
20
16
0
8
8
8
0
24
24
24
0
20
20
8
8
0
2
2
16
39
39
0
0
0
0
0
0
0
4
0
8
4
4
8
8
8
8
0
0
16
16
16
0
0
0
0
8
21
21
8
8
8
8
0
0
0
0
0
24
8
0
0
0
16
4
20
16
2
2
2
2
8
8
0
0
0
0
0
1
10
9
2
6
9
9
4
36
4
34
2
0
0
1
9
4
23
0
0
0
2
16
16
16
0
4
0
8
8
8
0
16
1
8
8
0
4
16
12
4
0
10
10
0
4
0
0
4
22
22
0
0
0
1
0
0
10
10
0
0
13
0
0
0
8
8
8
0
0
0
0
8
8
8
8
0
0
0
4
8
8
8
0
25
4
4
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
20
8
8
8
0
0
16
0
8
8
8
8
0
12
8
8
8
21
0
0
12
12
4
24
8
8
8
8
8
8
8
0
0
0
0
0
0
0
17
8
8
8
0
50
0
0
0
0
16
16
24
4
8
8
8
12
0
0
0
0
0
0
0
0
8
8
8
16
2
2
16
16
8
8
8
8
16
63
0
16
16
0
0
1
6
0
0
8
0
0
0
16
16
16
0
0
0
0
0
8
4
4
8
8
8
0
0
1
1
4
4
4
1
1
0
32
32
32
0
8
0
0
32
32
4
24
8
24
8
4
8
8
20
20
4
8
8
0
0
0
0
0
32
32
32
0
0
4
4
1
16
0
0
12
0
0
1
0
0
0
0
0
0
0
0
16
16
16
16
0
0
16
16
0
16
0
16
1
1
1
16
16
8
8
8
0
4
27
27
0
8
8
2
1
1
0
8
0
20
44
44
44
16
4
0
0
0
0
0
0
0
0
16
16
9
16
16
8
8
8
8
13
2
6
2
16
16
0
0
0
0
16
8
0
0
0
2
4
16
24
1
0
0
0
0
8
0
0
4
4
8
8
16
16
0
0
0
4
0
8
8
16
0
8
0
8
0
8
8
8
0
20
8
16
0
0
0
2
2
48
48
4
4
8
0
0
6
6
6
4
0
4
4
0
0
4
4
4
28
28
1
1
0
48
48
48
0
8
8
8
8
0
0
0
16
16
18
18
0
0
0
0
0
2
2
0
0
2
8
32
0
0
0
0
0
8
12
8
8
8
0
0
0
0
16
1
1
1
1
1
0
0
40
8
10
0
0
0
0
16
0
0
0
0
16
24
0
0
0
0
0
8
8
0
8
8
8
6
16
22
0
0
8
28
28
4
0
8
9
0
0
4
4
4
4
4
4
4
8
0
0
0
8
24
8
8
0
8
8
8
8
16
18
8
8
8
0
0
8
8
8
8
2
2
8
0
0
1
0
0
0
0
0
0
8
0
0
16
16
20
8
0
0
0
16
16
0
14
16
25
25
0
0
0
0
16
0
0
8
2
17
0
0
8
4
4
4
0
8
8
0
0
0
4
4
16
16
4
4
4
16
16
16
1
1
0
0
8
16
16
0
0
24
4
4
1
16
16
16
16
16
16
0
0
0
4
28
28
0
0
0
5
8
2
4
14
0
0
0
8
0
20
2
0
8
8
8
8
8
8
20
0
0
0
0
0
0
16
16
16
21
0
0
16
0
12
8
0
0
0
0
16
0
0
0
1
1
1
40
8
0
20
0
4
0
16
16
0
8
0
0
24
16
0
0
8
9
32
32
0
0
0
0
0
0
8
8
0
2
6
0
0
0
0
8
4
0
0
8
8
0
0
0
16
16
4
4
16
0
0
24
24
24
8
4
4
4
0
0
0
33
33
33
8
8
0
16
16
0
0
0
16
16
0
0
0
28
16
16
26
16
16
0
0
0
26
4
4
0
0
0
4
4
0
0
0
16
16
0
0
0
4
4
4
0
0
16
20
1
1
1
1
1
0
0
0
0
0
2
2
2
2
0
0
0
8
8
8
41
8
4
4
4
4
4
16
0
0
0
20
0
0
0
2
0
0
16
16
24
24
18
4
20
20
0
9
8
8
8
8
8
16
16
16
0
8
0
0
0
0
0
0
2
2
2
2
2
2
0
16
16
0
2
2
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
5
5
5
0
1
1
0
0
0
0
0
32
1
8
8
8
8
16
16
9
0
0
24
4
16
0
4
6
17
17
17
17
17
0
16
16
16
1
6
0
16
16
16
1
1
0
8
8
8
0
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
0
0
0
0
8
9
9
8
8
0
0
20
16
1
9
9
0
16
16
2
24
8
8
8
8
8
0
0
0
0
0
0
0
0
16
16
16
0
4
0
4
8
1
8
8
6
6
0
0
0
8
16
16
0
0
8
8
8
0
0
0
16
16
16
16
16
16
8
8
0
0
6
0
0
8
8
8
24
0
2
0
0
4
8
0
8
24
2
2
0
0
0
0
0
0
8
8
8
32
0
0
0
0
8
8
0
60
60
0
0
2
2
0
0
0
8
8
8
8
8
0
0
0
0
0
12
0
20
8
8
24
35
8
0
0
0
0
8
8
8
8
8
16
16
0
8
0
0
0
8
12
8
8
8
0
16
2
2
2
16
0
0
16
16
16
0
16
16
0
0
0
0
49
8
8
8
4
0
0
0
4
4
4
0
8
8
8
0
0
0
4
8
2
2
1
1
16
16
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
16
16
0
0
0
17
0
1
8
8
4
4
16
16
16
16
4
20
4
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
0
0
0
16
0
0
0
0
0
0
0
0
0
0
4
12
4
16
0
0
18
18
18
18
0
0
8
24
8
8
8
8
0
0
0
4
0
0
16
16
16
8
0
0
4
4
16
2
2
2
26
2
4
20
16
16
16
0
16
8
8
0
0
0
0
16
0
0
0
0
0
24
0
0
0
0
0
8
8
8
8
0
8
8
0
0
1
1
1
0
0
0
0
0
0
0
0
16
0
8
8
24
8
24
24
16
2
2
2
16
16
16
16
0
16
16
8
8
16
0
32
4
4
0
0
0
0
0
2
2
0
32
16
50
50
50
50
1
1
8
8
6
0
0
8
8
8
8
0
0
0
16
16
20
0
16
1
1
8
8
8
16
16
0
0
0
8
8
8
0
8
8
2
4
2
16
24
0
0
0
0
0
4
0
0
0
8
8
0
9
1
9
16
16
16
0
0
0
0
16
16
8
4
4
52
52
16
16
0
4
2
16
16
16
16
4
0
0
0
8
8
8
16
0
8
8
8
24
24
8
0
0
0
4
4
4
4
0
0
0
0
17
17
0
0
2
16
1
0
0
8
8
12
8
8
8
8
8
8
0
0
4
16
16
8
8
0
0
0
0
0
0
0
8
8
4
4
8
8
8
0
0
0
0
0
0
0
0
28
2
30
4
0
0
16
16
16
16
16
16
25
16
16
16
8
8
8
8
8
0
16
0
0
0
4
0
0
4
32
0
16
0
16
16
16
0
2
2
0
0
8
8
8
8
16
0
6
6
6
8
8
8
0
0
5
5
8
0
0
20
0
24
0
8
8
0
0
8
8
0
0
4
20
4
8
8
16
0
0
0
1
1
20
4
20
4
4
8
8
0
8
16
16
16
0
0
16
16
24
4
4
4
0
0
0
0
16
16
16
16
16
0
1
0
4
4
8
2
8
1
1
0
4
0
0
4
4
0
1
16
0
0
0
16
0
0
16
0
1
1
1
1
8
8
8
8
0
0
0
0
0
8
43
43
47
0
0
0
0
0
0
24
0
0
16
16
16
16
16
16
16
1
16
16
16
16
0
0
0
0
0
0
8
8
8
1
1
1
0
4
2
2
2
0
8
8
8
8
16
16
16
8
8
8
8
2
0
2
0
2
2
0
24
0
24
24
16
16
16
16
0
0
0
0
0
6
8
16
2
2
16
0
0
24
24
0
0
0
0
21
8
8
2
2
1
1
8
5
0
0
0
0
8
8
0
4
4
8
8
8
1
2
2
2
16
16
0
0
0
33
1
1
1
0
0
0
4
4
0
8
8
1
0
0
8
8
8
0
0
0
0
0
8
8
8
8
0
0
12
12
12
4
4
4
0
8
8
8
24
0
13
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
8
0
0
32
32
32
16
0
4
8
24
1
1
1
16
16
16
16
16
16
16
4
4
9
9
0
0
0
0
0
0
8
0
0
1
1
0
0
0
4
4
4
4
0
0
0
0
8
8
8
0
0
8
0
8
0
0
8
2
0
0
0
4
8
0
0
8
0
16
8
2
2
2
0
0
1
1
8
8
8
24
4
4
4
4
4
4
4
1
1
0
0
0
0
16
16
16
16
16
16
16
0
0
0
8
0
0
0
4
4
4
8
4
4
4
0
0
0
0
12
0
16
4
4
0
0
0
8
8
8
8
8
8
2
16
0
0
0
0
0
0
0
0
0
8
8
17
8
16
0
0
0
0
0
2
2
0
32
10
2
16
0
0
8
9
2
2
2
0
16
16
1
0
0
8
16
16
0
16
16
0
8
8
16
16
0
8
8
0
8
0
0
16
16
16
16
16
0
0
16
0
0
0
4
4
4
16
16
0
0
2
0
6
0
0
0
24
0
0
0
8
8
8
8
0
16
0
0
2
2
2
1
1
1
4
4
0
1
0
8
0
0
0
0
0
0
0
4
4
4
0
0
0
0
0
16
16
16
16
16
0
1
1
0
4
4
4
0
0
0
16
16
16
0
0
0
0
0
8
0
24
24
24
0
0
8
8
8
8
4
8
0
0
8
8
24
16
21
21
0
8
8
8
0
0
0
24
24
0
0
0
0
0
0
4
0
0
8
25
25
1
4
4
4
0
0
0
0
0
0
0
0
18
18
0
24
0
8
8
4
16
8
16
0
0
8
0
0
6
2
0
0
2
2
9
16
8
0
24
0
0
8
8
8
16
0
0
4
4
8
0
16
16
16
18
0
16
16
16
16
0
20
16
8
16
0
0
1
1
1
16
16
16
16
16
2
2
0
16
16
0
0
0
0
0
0
0
2
1
1
1
0
32
0
8
8
8
8
0
0
16
16
16
0
5
4
32
36
32
40
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
8
0
0
1
4
16
0
0
0
20
8
8
9
8
8
8
16
0
0
0
8
18
0
0
0
4
16
16
16
0
16
8
16
24
8
8
0
0
0
0
0
0
4
4
4
0
0
0
24
16
28
8
4
2
2
0
0
0
0
8
8
8
8
8
0
0
12
0
0
0
1
8
16
8
8
0
2
10
0
8
8
8
8
8
0
0
14
14
16
16
0
8
8
8
2
0
17
1
4
0
0
0
8
8
8
4
16
16
16
0
0
0
0
0
0
0
16
16
16
16
16
16
16
16
16
16
1
0
0
8
8
8
0
0
1
1
1
0
0
0
1
8
9
6
6
6
8
0
0
0
21
0
4
4
1
1
8
8
0
0
0
0
8
0
0
0
0
0
0
0
0
0
8
0
0
8
0
0
12
4
0
0
0
0
0
8
8
8
16
0
8
8
8
0
0
0
0
0
0
0
16
16
16
16
0
0
8
14
0
1
1
0
0
0
0
8
8
8
8
4
20
0
0
0
24
24
4
4
4
0
0
0
1
1
8
0
0
0
8
8
8
8
8
0
0
0
0
0
0
0
8
0
0
0
0
0
20
16
0
0
16
0
32
32
1
8
0
8
8
0
8
2
2
16
0
0
0
16
16
16
0
1
1
1
1
1
1
1
1
16
8
0
0
7
7
12
28
1
1
44
44
44
0
16
0
0
8
24
8
8
8
26
26
26
0
8
8
0
0
0
0
0
0
0
0
4
16
0
0
4
4
8
8
8
8
0
8
8
0
4
0
8
32
1
8
8
12
0
4
4
0
0
0
1
1
24
16
16
4
0
4
0
8
8
8
8
8
8
8
0
0
0
0
0
16
0
16
0
0
3
3
3
3
0
0
2
2
0
8
8
8
8
17
0
0
0
8
2
0
0
0
22
22
0
0
8
8
8
16
9
2
2
0
0
0
0
17
4
0
10
10
2
8
8
16
16
0
16
16
16
0
0
0
0
1
8
4
4
4
16
4
4
4
16
0
8
8
0
0
0
0
0
0
0
8
8
8
8
16
0
8
0
0
6
6
26
21
0
16
16
8
8
8
8
8
16
8
40
40
0
1
1
0
0
0
16
0
0
0
4
4
0
0
0
0
1
1
20
20
16
8
0
0
0
0
1
1
8
8
8
8
18
18
8
8
0
1
1
0
8
8
8
16
16
16
28
12
0
0
0
0
0
8
8
0
8
8
16
16
16
0
0
4
4
4
0
0
0
0
8
8
1
0
0
16
16
16
16
32
16
16
16
16
16
16
16
16
16
16
16
16
16
8
0
8
8
8
8
0
8
16
8
8
9
16
8
24
0
0
0
0
0
0
4
4
4
0
0
0
0
20
20
20
0
0
0
0
0
2
4
0
16
8
8
8
8
8
8
8
8
16
32
8
1
0
0
0
0
0
0
3
3
0
8
0
0
0
8
4
4
4
0
0
1
0
0
16
0
5
5
8
8
8
0
0
0
0
0
0
1
8
9
8
8
8
28
8
16
16
0
32
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
16
16
16
16
0
8
8
0
1
1
1
16
16
16
20
20
0
0
2
2
2
2
8
8
8
8
2
2
2
0
10
10
10
10
10
10
10
16
16
16
8
8
0
0
0
8
24
24
24
16
16
0
16
16
16
16
0
8
2
0
0
0
0
2
2
2
16
24
1
1
1
8
8
8
0
0
1
8
12
8
4
4
4
4
0
1
0
0
9
8
9
8
8
8
8
8
8
8
8
8
8
8
8
0
0
2
2
2
0
0
8
8
8
8
0
16
16
16
16
16
16
16
16
16
16
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
4
3
4
16
16
16
16
1
4
4
16
16
16
16
16
16
8
8
16
16
16
16
16
16
0
8
8
8
8
8
0
8
8
8
0
1
8
8
8
8
8
8
8
8
8
8
8
8
4
8
8
8
8
8
4
4
4
4
4
4
0
16
16
16
16
16
16
16
16
16
8
4
4
4
4
4
8
8
8
8
32
32
32
32
32
1
1
16
16
1
16
16
0
16
16
16
17
23
0
4
8
8
8
24
0
1
1
1
1
8
8
0
0
0
8
8
16
16
8
16
40
0
0
0
0
0
0
0
0
0
0
8
1
8
8
16
16
4
8
48
20
0
8
8
0
16
32
32
0
8
8
8
16
16
16
0
34
34
8
8
16
16
16
16
0
0
8
8
4
4
4
4
4
4
4
4
4
8
16
0
0
0
0
8
8
8
8
0
4
4
16
16
8
0
0
0
2
2
40
8
8
8
8
8
16
16
16
12
8
3
16
32
16
16
16
16
16
24
16
16
16
8
16
16
0
8
44
0
16
16
16
16
16
16
16
16
16
16
16
4
4
4
4
2
2
16
2
28
13
0
0
16
16
0
0
0
0
8
0
16
16
16
8
4
4
8
8
8
8
8
8
8
8
8
33
33
33
33
33
33
33
13
13
13
13
13
13
8
8
8
8
32
8
8
8
8
8
8
8
26
26
26
26
40
40
40
16
52
8
24
16
8
8
8
0
16
2
0
0
2
2
2
2
2
8
16
16
16
16
16
16
0
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
8
2
2
12
12
16
16
16
0
0
0
16
8
17
16
16
16
16
16
16
16
16
2
2
2
2
2
2
0
24
8
8
8
8
24
8
4
8
0
16
16
16
16
16
16
16
16
16
16
0
16
16
8
8
8
8
8
1
3
3
3
0
16
8
8
8
8
8
8
8
8
17
17
10
10
0
8
8
8
8
2
2
0
0
16
0
8
8
8
4
4
8
20
8
42
1
1
1
16
16
16
16
2
2
2
16
16
2
8
16
16
16
16
16
16
16
16
8
8
8
8
8
12
8
1
0
0
40
40
2
2
2
2
8
2
12
4
4
4
4
1
0
0
16
8
16
0
8
16
16
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
8
4
4
24
24
24
16
4
4
8
8
18
18
2
16
2
2
2
4
4
4
1
1
1
32
4
44
4
4
4
4
16
16
1
16
16
0
16
16
16
8
4
0
0
0
1
1
1
1
1
1
1
1
37
37
0
0
0
1
1
1
0
0
0
0
16
8
8
8
0
0
2
16
16
16
1
1
8
8
5
8
8
8
8
8
8
8
8
8
8
8
16
16
16
16
16
16
2
2
2
8
8
7
4
4
7
8
0
8
8
16
16
16
16
16
16
16
0
8
8
0
0
8
8
8
8
0
0
0
0
2
1
8
1
1
0
1
1
4
16
16
2
2
8
24
16
57
17
8
8
0
0
8
8
8
8
1
1
3
3
3
8
8
16
16
16
8
8
8
8
8
24
16
16
0
0
8
8
16
16
16
16
16
8
8
8
16
24
2
2
2
2
0
8
8
4
4
8
16
16
8
8
8
8
8
0
0
16
16
16
1
1
8
40
9
16
0
0
0
17
17
17
17
17
17
17
1
21
21
0
8
8
16
8
16
16
16
16
0
1
0
0
0
4
4
12
0
8
8
8
8
8
32
16
16
8
16
4
4
0
0
2
2
2
2
0
8
8
8
2
4
4
8
8
8
16
16
16
16
16
16
16
16
16
8
8
8
8
0
32
8
40
0
0
0
0
8
0
4
4
1
1
1
1
1
8
8
8
32
32
32
8
8
16
1
8
8
8
16
16
16
4
8
0
16
16
16
32
32
32
32
8
8
8
8
20
20
20
4
4
8
2
2
4
6
6
4
4
0
0
1
1
28
28
28
28
28
16
16
16
16
16
8
0
27
27
27
0
0
28
0
0
0
0
8
8
0
16
16
16
16
16
16
16
8
8
8
2
2
2
2
2
4
4
4
4
24
8
8
8
2
2
2
1
1
1
1
1
2
0
0
0
0
0
36
0
0
6
4
4
0
0
0
17
4
0
8
2
10
8
8
8
8
8
1
1
1
8
8
8
8
1
1
1
0
0
0
0
0
8
8
0
0
8
1
1
1
1
0
0
1
1
8
8
8
16
16
16
16
1
1
1
1
16
16
16
16
20
20
20
0
8
8
8
8
8
8
8
16
16
16
26
16
16
0
0
17
61
16
1
8
12
8
0
8
36
32
32
0
1
1
24
8
8
16
24
8
8
8
8
8
8
1
1
0
8
8
8
8
8
32
16
4
4
4
4
4
4
4
40
32
32
32
0
32
32
40
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
16
2
4
0
1
1
1
1
1
1
1
1
1
8
8
8
8
4
4
4
4
24
16
16
16
16
8
8
8
8
8
8
16
16
0
16
16
24
24
16
2
2
2
2
2
0
0
27
24
8
8
8
8
0
0
0
0
0
16
16
16
16
16
16
32
32
32
0
0
16
4
4
16
4
16
16
16
16
32
16
33
33
33
16
16
0
3
19
3
3
3
4
4
1
16
0
0
0
16
16
8
8
8
8
8
16
16
0
0
8
8
8
8
8
8
16
16
0
3
3
3
17
16
16
8
8
8
24
16
16
16
0
8
8
8
0
32
32
32
40
40
40
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
16
16
8
8
8
8
4
0
8
2
2
16
16
0
0
0
8
8
8
8
49
16
16
16
16
8
8
8
8
8
8
4
8
8
0
16
16
16
16
16
16
8
8
8
1
1
0
0
8
8
16
16
16
8
8
10
8
8
4
2
2
2
2
2
8
8
8
8
0
0
0
8
8
1
1
1
27
16
8
8
0
0
0
0
0
0
8
8
0
0
0
0
0
16
16
16
16
16
16
16
0
16
24
8
8
8
8
8
8
8
9
0
16
16
32
0
4
0
8
12
16
16
16
8
24
8
8
8
8
8
16
8
8
8
1
16
17
25
25
25
26
26
0
0
8
32
16
16
16
8
8
8
8
18
16
16
0
0
0
0
2
2
1
0
0
8
8
4
4
4
4
4
4
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
0
0
0
8
8
8
8
8
8
2
8
8
8
0
1
1
4
16
16
16
1
16
16
16
5
5
0
0
19
0
16
16
16
16
16
0
0
8
8
8
0
1
1
12
16
16
16
8
8
8
8
2
2
2
2
2
2
2
2
2
2
2
0
0
32
10
10
10
32
32
32
32
0
4
4
8
16
8
8
8
8
0
0
0
52
4
4
16
16
8
8
4
4
4
4
4
4
17
1
1
1
1
1
8
8
8
2
2
0
8
8
16
8
0
16
20
20
0
1
25
25
25
16
8
8
8
8
8
8
8
8
8
2
4
4
4
4
4
0
0
0
8
8
8
8
0
8
8
8
24
0
8
8
6
6
6
6
6
6
1
8
8
8
4
8
8
8
8
8
8
8
8
8
8
20
20
20
8
8
8
0
16
24
18
32
8
8
8
1
9
13
8
8
8
8
8
8
8
0
1
1
1
1
1
1
0
16
16
8
16
16
8
8
8
8
16
16
16
16
6
12
12
12
0
0
0
0
0
18
18
0
8
4
4
8
32
32
32
32
32
32
32
32
32
32
0
0
16
16
16
0
18
19
18
9
9
8
8
1
1
0
16
0
0
0
16
16
16
16
0
0
0
0
0
0
12
2
2
2
2
2
0
0
16
16
16
16
32
34
32
32
32
8
8
8
8
1
1
1
8
16
16
8
8
4
8
4
21
16
16
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
4
4
12
4
4
4
4
16
16
16
1
16
8
16
16
24
24
45
16
16
16
16
16
16
8
16
16
16
16
16
16
16
33
16
8
8
8
8
0
16
16
16
16
16
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
4
0
16
8
8
16
1
1
0
20
16
8
8
16
0
0
0
0
0
0
0
32
32
8
0
0
0
0
0
0
12
12
8
8
16
16
24
24
24
24
24
24
24
24
8
8
8
8
8
0
0
0
0
0
8
8
8
8
0
0
16
16
16
16
34
34
32
24
32
32
32
2
16
16
16
16
16
16
16
33
1
1
1
0
1
0
8
32
8
0
8
0
0
0
0
18
22
16
16
16
16
16
2
32
48
1
4
4
4
8
24
24
24
24
24
0
16
16
16
16
8
4
8
22
22
16
16
8
8
8
24
1
8
24
24
24
24
50
16
24
24
4
4
2
4
14
0
2
0
0
16
16
0
0
0
0
1
8
8
8
8
8
8
8
8
8
0
0
0
1
1
17
1
1
1
24
24
24
8
0
0
0
4
4
0
0
0
8
8
8
8
8
8
1
1
1
1
16
1
4
2
4
2
0
0
0
8
8
1
1
16
16
16
16
16
8
28
28
4
4
4
8
8
8
8
8
1
32
0
8
8
0
2
2
2
16
16
16
16
16
8
8
8
8
8
0
0
2
8
8
16
16
16
16
16
8
8
8
12
12
12
0
0
0
8
24
4
4
8
9
9
0
0
16
16
12
12
12
12
12
12
12
12
9
17
1
25
16
50
2
48
16
16
16
16
8
0
2
8
8
8
8
16
16
16
16
16
16
8
16
16
16
8
8
0
8
8
0
0
0
16
24
16
0
16
8
8
8
8
8
0
0
16
0
8
8
16
16
16
16
16
16
16
24
16
0
1
1
1
4
4
4
4
16
8
8
1
1
1
1
24
8
8
24
8
0
2
2
16
16
16
8
8
8
24
24
8
16
16
16
16
8
8
8
8
0
16
16
8
8
8
1
16
16
8
8
8
8
16
16
16
0
0
0
8
0
8
4
8
8
8
8
8
8
8
16
16
44
16
4
4
4
4
4
4
8
0
8
2
2
2
2
2
2
1
8
16
16
4
4
4
16
12
12
12
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
16
53
53
53
16
16
32
0
0
16
8
8
8
0
2
4
6
4
0
0
0
0
0
2
2
16
8
8
8
8
1
4
4
4
4
1
1
4
2
2
0
24
24
8
8
1
1
0
8
8
32
32
32
32
32
32
8
29
29
29
1
8
8
0
16
16
0
8
9
2
2
16
8
8
8
8
8
8
8
0
16
16
16
4
1
32
16
16
16
16
16
16
24
16
8
8
8
8
8
16
16
16
16
16
16
16
16
16
16
16
16
0
0
0
0
0
24
24
24
0
0
0
0
0
8
6
4
4
4
4
0
16
16
8
8
0
4
4
16
16
16
16
1
2
2
2
16
16
16
16
16
16
8
0
8
8
16
16
16
0
0
0
0
0
0
0
4
16
4
6
4
2
2
16
0
0
0
16
16
16
0
0
0
0
0
16
8
8
8
56
12
2
16
16
18
18
24
24
24
45
45
4
12
4
0
8
0
0
0
4
25
8
0
8
0
2
2
2
2
2
8
2
2
2
4
16
2
3
16
16
16
16
16
0
4
4
24
28
1
2
1
2
1
2
8
8
8
8
17
2
2
2
8
8
8
8
1
1
1
16
16
8
8
8
8
8
8
16
16
4
4
4
4
4
0
0
0
1
0
10
16
40
16
16
16
16
16
16
16
16
16
1
1
16
17
17
16
8
4
1
12
4
1
1
8
8
4
8
8
8
8
8
8
8
16
8
4
8
8
8
8
8
8
0
8
8
8
8
8
2
2
2
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
0
1
4
4
4
8
8
8
8
0
16
16
16
16
0
16
24
4
0
0
0
8
56
56
39
39
24
24
8
8
8
8
8
8
8
4
0
1
1
1
1
16
16
16
0
0
8
0
0
0
0
8
8
8
16
16
16
16
16
16
8
16
16
16
16
16
16
0
0
32
8
8
8
49
49
49
1
1
1
1
1
1
1
16
4
4
4
4
4
57
16
16
2
2
2
2
17
1
0
16
16
16
16
16
16
16
16
16
16
8
8
8
8
16
1
1
0
8
8
32
8
16
0
16
8
8
8
8
24
8
24
4
4
16
16
8
33
8
8
8
8
8
8
1
1
1
1
1
1
1
1
8
8
16
57
57
2
2
8
8
4
16
16
16
16
1
32
16
16
16
16
16
16
16
1
32
0
0
8
0
0
0
32
18
18
24
8
8
8
0
0
32
0
16
8
16
16
20
16
16
16
16
16
16
16
32
1
4
32
2
2
16
16
16
16
16
0
0
16
16
0
8
8
8
0
8
8
0
0
0
0
4
1
1
1
1
16
16
8
0
0
0
0
26
18
18
18
18
18
8
24
8
1
1
1
8
8
1
1
1
1
1
0
0
0
16
16
17
16
16
0
33
16
0
0
0
0
0
0
0
8
0
0
0
0
0
32
32
8
8
8
8
8
8
8
16
16
16
16
16
16
16
8
24
0
1
1
1
1
1
1
6
6
0
8
9
16
3
8
20
20
16
16
4
4
4
16
16
36
44
8
36
28
8
8
8
16
2
2
2
2
32
32
8
16
16
16
16
0
2
2
2
2
4
4
4
4
4
4
4
4
4
4
4
36
28
28
0
16
16
16
16
16
0
8
8
8
8
8
0
4
4
32
0
0
0
0
0
0
6
0
8
8
8
0
8
8
8
8
24
8
14
14
24
24
8
12
0
0
0
0
0
0
8
0
0
0
16
16
16
16
16
16
0
0
0
0
8
8
8
8
0
0
24
24
4
4
4
4
0
16
8
8
8
0
0
8
4
4
4
4
12
16
16
16
1
1
1
16
16
16
16
16
16
0
32
32
32
2
2
2
2
0
16
2
2
8
2
16
4
4
4
4
4
4
4
1
0
32
20
4
4
4
0
0
8
8
8
8
8
8
8
8
0
0
0
0
0
0
0
4
4
8
8
8
8
8
8
8
8
8
8
16
16
8
8
8
8
8
0
8
40
16
8
8
8
8
8
8
8
8
8
33
33
33
16
16
12
0
16
16
8
0
4
0
0
40
40
40
40
40
16
16
16
16
16
16
16
32
32
16
16
16
2
2
0
0
4
0
0
2
9
11
1
1
16
16
17
20
16
0
0
16
16
16
0
18
18
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
8
25
25
8
8
8
8
16
8
31
0
1
1
16
8
1
2
2
2
2
2
2
1
1
1
1
1
0
0
8
0
16
16
0
0
2
2
2
2
32
32
32
16
16
8
16
4
20
0
0
0
8
0
16
16
1
0
0
0
8
4
12
1
23
22
22
0
0
0
6
22
0
0
21
21
21
21
0
0
0
0
16
1
8
8
8
32
49
49
1
1
1
1
1
1
0
0
0
8
35
35
4
4
4
4
4
1
1
8
8
8
8
2
33
8
8
8
8
2
2
2
16
1
1
1
1
4
4
4
4
25
16
8
8
8
24
16
16
16
0
0
0
16
16
4
0
40
4
0
0
0
1
1
1
8
24
8
8
8
16
16
16
16
0
0
24
24
24
0
0
0
16
16
16
16
16
8
8
8
8
8
8
8
8
8
8
2
1
1
1
8
16
16
16
16
24
16
16
16
16
32
0
16
16
16
8
8
8
32
8
16
16
16
16
16
4
16
16
16
16
16
16
16
0
16
16
2
2
4
6
8
16
1
1
1
20
20
20
8
8
8
8
2
2
2
2
16
0
0
0
16
16
16
8
8
8
0
0
16
16
25
16
16
24
24
0
0
0
0
0
8
8
16
16
4
16
24
8
8
8
8
0
32
1
0
0
0
8
8
8
8
8
0
1
8
8
8
8
2
2
8
16
16
8
8
8
8
8
4
1
1
1
1
1
16
16
17
8
8
8
0
0
0
2
9
16
16
16
17
8
8
0
0
0
8
16
16
0
17
1
1
0
0
0
16
16
16
16
16
16
16
8
8
8
40
32
48
32
32
1
1
0
0
0
0
16
16
8
2
16
16
9
9
4
0
42
42
8
8
8
0
0
0
0
0
0
0
18
8
8
17
17
17
17
17
17
1
17
8
4
4
16
8
16
8
8
8
0
8
8
8
8
8
0
18
18
18
18
18
8
8
0
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
4
0
9
2
2
2
2
2
0
2
2
2
1
1
4
4
4
16
16
16
0
8
8
4
4
8
8
8
8
8
8
8
8
8
8
8
24
8
8
8
8
24
0
0
0
8
8
8
16
16
1
20
21
16
16
16
16
16
16
16
16
16
10
10
17
10
2
8
8
2
2
2
8
5
5
16
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
16
0
0
0
0
0
0
4
4
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
16
16
16
16
16
16
16
16
16
16
16
16
0
0
8
8
8
8
0
16
16
24
8
16
8
0
0
1
1
1
0
8
1
4
1
0
20
4
0
0
0
0
0
0
0
32
32
43
1
9
1
8
24
8
8
8
8
8
8
0
2
22
8
8
0
0
16
16
0
24
24
4
4
16
16
16
16
16
16
8
16
0
0
8
8
32
8
0
0
4
8
0
0
48
48
48
48
48
16
8
8
8
16
16
16
10
10
10
1
20
4
4
4
4
4
4
1
1
1
1
1
0
0
0
4
4
4
4
17
17
17
20
20
8
40
8
4
8
8
8
8
8
8
8
1
9
16
8
8
8
8
8
8
8
8
8
8
16
0
0
0
0
24
24
16
0
0
0
0
0
8
8
8
16
0
0
7
18
5
5
5
5
5
0
8
8
8
8
2
2
16
16
1
1
1
1
8
2
0
1
1
17
1
1
1
0
32
32
32
32
32
0
2
2
2
2
1
1
1
1
1
4
16
16
16
16
8
2
26
2
1
1
32
2
2
0
16
16
4
16
8
8
8
8
8
60
24
16
16
0
8
8
8
8
16
0
0
16
16
16
16
16
0
8
8
8
16
16
1
1
1
1
1
1
1
17
1
1
16
16
16
32
32
32
32
32
32
32
0
8
16
0
0
1
8
16
16
8
8
8
0
1
4
4
4
9
9
0
0
16
16
16
16
16
16
0
2
2
8
24
8
8
8
8
0
8
8
8
2
2
2
2
2
2
2
2
8
8
16
16
20
8
8
2
16
16
16
8
8
8
8
8
8
8
16
16
8
8
16
16
0
0
0
8
8
8
8
8
8
2
2
2
2
2
16
16
16
16
16
16
0
16
16
16
16
4
4
4
8
0
8
8
8
8
8
8
16
16
4
4
4
8
12
12
4
4
4
4
8
4
4
8
8
8
1
1
1
1
1
43
8
16
16
8
16
12
8
8
16
1
29
29
29
8
24
0
0
0
16
16
16
4
4
4
8
16
16
1
1
1
2
8
8
8
16
0
12
22
6
0
0
0
0
8
8
8
3
4
1
2
36
4
16
16
16
16
16
0
16
16
16
16
16
16
16
8
8
8
8
9
9
9
22
22
22
16
2
19
19
4
4
4
17
21
17
8
16
16
8
8
8
8
8
8
8
8
8
8
0
0
0
20
20
20
16
16
16
8
8
0
0
16
16
16
16
16
32
36
32
32
8
4
4
4
4
0
8
8
0
0
0
0
0
16
4
4
4
4
4
24
24
24
24
32
32
32
32
8
8
8
16
16
0
8
8
8
8
0
8
40
0
0
0
0
16
18
24
24
24
24
8
8
8
20
8
8
8
8
8
8
8
8
8
8
8
16
16
0
0
0
4
16
4
8
18
8
8
16
16
0
4
4
7
1
1
2
24
24
20
8
16
1
1
1
1
4
16
16
16
16
2
2
16
16
16
8
8
8
8
16
20
20
0
16
16
0
34
0
0
52
52
52
52
52
52
52
16
8
8
8
8
8
8
8
8
8
8
8
8
4
4
4
0
16
16
0
0
2
1
16
16
8
32
32
0
4
16
16
16
16
10
10
10
16
16
8
8
4
1
1
0
16
16
2
2
2
2
8
8
8
8
0
0
0
16
8
8
8
8
8
8
8
8
8
8
8
0
2
2
2
2
17
21
4
4
4
16
8
8
8
4
4
4
4
4
4
4
10
8
10
10
10
10
10
8
4
16
28
16
8
16
16
16
16
16
16
16
16
40
8
8
2
16
16
16
16
0
18
4
18
8
8
8
0
0
8
2
2
8
8
8
17
17
0
0
32
8
8
8
4
4
4
17
17
17
17
19
17
17
4
4
4
4
8
9
0
0
4
4
4
4
4
4
4
4
4
4
8
8
8
8
8
8
8
8
8
0
8
8
8
8
16
16
16
8
8
8
8
8
8
8
0
0
8
8
8
8
8
16
16
16
16
16
9
0
0
0
8
8
16
24
0
0
0
0
10
0
0
0
0
0
0
8
8
8
8
8
0
2
0
0
0
0
0
8
0
8
8
16
16
16
16
16
16
16
16
16
8
8
1
17
2
2
0
8
8
8
0
0
0
8
8
8
1
4
16
16
16
8
1
0
16
16
8
0
16
16
16
16
8
0
20
20
4
16
16
1
16
16
16
8
8
8
8
8
1
2
0
16
16
0
0
8
0
8
16
16
16
16
16
8
16
16
16
16
0
32
1
1
1
2
8
8
0
0
0
4
4
4
4
4
4
4
8
8
8
8
8
16
16
14
10
1
16
8
8
8
8
8
0
8
8
8
8
4
4
4
4
4
4
4
4
4
4
20
20
9
9
9
8
9
4
0
0
16
16
16
16
4
8
4
4
4
32
32
32
16
16
16
16
18
18
18
8
16
16
16
0
0
0
0
4
4
4
28
4
4
20
20
20
20
8
8
8
16
16
0
0
0
2
2
8
0
24
24
0
0
8
8
2
8
0
4
8
8
0
8
8
8
8
8
8
8
0
0
8
8
2
2
1
1
4
0
0
0
0
0
0
0
0
0
0
0
0
0
56
8
2
2
4
4
4
8
8
8
8
8
8
0
8
8
28
28
33
33
33
33
1
1
4
4
4
4
8
8
8
8
8
0
0
0
8
0
0
0
28
0
8
8
8
4
4
6
6
4
4
4
4
8
8
0
0
8
34
0
8
8
8
8
8
8
0
0
0
0
0
0
0
0
0
16
16
0
16
16
16
17
16
16
16
0
0
0
0
0
16
8
24
8
2
2
16
16
16
16
16
16
16
0
0
0
0
8
24
32
32
18
8
24
24
24
24
24
8
0
8
8
4
4
4
16
1
8
0
0
0
0
32
8
8
8
8
8
4
4
4
4
8
8
8
8
8
8
8
16
16
16
16
16
16
16
1
1
13
13
26
32
16
20
16
16
16
16
16
16
16
8
8
8
2
0
0
0
0
8
8
8
8
8
24
0
0
0
4
4
4
56
4
0
0
1
16
16
16
8
32
8
8
8
8
8
8
8
8
0
0
0
17
24
24
16
0
0
0
0
8
1
1
1
1
8
9
8
0
0
8
8
16
0
8
16
24
28
28
28
28
0
16
16
16
16
1
1
1
2
2
2
0
16
0
8
16
8
8
8
8
8
0
0
16
0
1
1
0
1
1
1
1
4
4
4
0
0
1
0
9
1
40
1
16
8
8
0
0
32
32
32
0
0
4
16
0
8
8
8
8
32
32
32
32
8
8
24
0
0
0
8
0
10
42
10
0
0
0
0
9
9
9
16
16
16
8
16
24
24
16
16
16
16
16
16
16
2
2
0
16
16
4
4
0
16
16
16
16
16
16
8
0
0
8
8
0
16
16
16
16
8
8
8
1
1
1
0
0
0
0
0
8
8
8
8
8
8
8
0
0
0
0
0
6
6
4
8
0
0
0
0
0
0
4
24
8
8
0
0
0
16
16
16
16
16
16
16
16
16
16
0
0
0
0
0
8
0
8
8
8
0
0
0
28
8
8
8
0
0
16
0
28
0
48
16
48
10
10
10
10
8
8
8
8
4
13
13
13
8
8
8
0
0
8
8
1
1
4
4
4
4
4
4
4
0
0
8
24
8
8
8
8
8
8
8
8
8
2
6
0
1
8
8
8
8
8
16
32
32
32
32
32
32
8
8
8
8
8
8
8
16
16
16
16
0
0
8
4
4
4
0
0
8
24
24
24
24
60
16
16
8
8
1
1
1
0
6
6
8
0
32
32
48
0
0
0
0
2
2
2
2
16
16
0
8
1
8
8
8
0
0
0
8
8
2
2
16
16
16
16
8
8
8
8
4
8
8
8
8
8
0
1
16
1
0
8
16
16
16
8
16
8
8
24
2
16
16
16
0
0
1
1
2
1
1
0
0
6
6
6
32
40
32
32
0
2
2
2
2
2
2
2
6
4
6
2
0
8
8
8
4
43
43
24
16
16
0
0
0
0
0
4
4
4
8
24
0
24
0
28
0
8
8
8
0
0
1
1
1
0
0
1
4
5
8
8
8
0
0
16
16
28
8
0
4
4
4
4
4
8
8
8
8
0
4
4
4
1
9
8
9
9
12
8
16
16
16
16
16
8
0
0
0
8
8
8
1
1
1
1
8
24
8
8
4
4
4
4
4
16
16
16
8
8
8
8
8
8
8
2
2
2
8
0
2
2
2
16
16
0
0
8
0
0
8
1
1
48
8
0
8
1
9
4
4
8
4
4
4
0
0
1
1
8
8
20
20
48
16
16
16
16
16
8
8
40
40
1
1
4
16
32
0
32
4
16
16
16
16
8
8
8
0
0
16
16
16
16
16
16
16
16
16
24
24
8
0
0
16
16
16
0
16
16
4
0
4
4
4
6
4
4
4
16
8
24
8
8
0
0
16
8
24
16
16
16
16
1
1
16
46
46
16
8
8
8
8
32
32
32
32
32
32
32
8
8
8
8
8
8
32
32
32
18
16
12
16
1
1
1
1
0
8
8
8
2
2
2
2
18
0
16
16
16
8
8
8
8
0
0
1
32
32
8
8
8
8
8
8
8
8
8
8
8
8
16
16
16
16
16
16
4
8
8
8
1
1
1
48
2
20
20
20
20
2
2
16
9
1
16
16
16
2
0
0
8
0
0
0
0
16
0
0
1
1
1
1
16
16
16
16
0
0
0
0
8
24
50
50
4
8
16
8
8
8
8
4
4
4
4
4
4
8
8
8
8
8
4
8
8
0
8
8
8
8
8
8
8
8
1
0
0
0
0
0
8
16
0
58
4
12
4
16
16
16
0
16
8
8
8
32
1
1
1
1
17
0
16
8
1
1
4
4
33
33
33
33
1
2
2
2
16
2
2
2
2
2
8
8
8
24
32
32
32
32
32
32
16
16
0
0
0
33
8
8
8
8
8
16
16
8
16
16
16
16
16
8
8
0
9
8
8
16
16
16
8
8
8
8
8
2
2
2
2
0
0
6
4
4
2
2
0
2
8
8
8
8
1
9
0
8
8
8
8
0
0
0
8
8
0
0
0
0
16
16
8
16
16
16
8
1
9
9
16
16
16
16
24
16
16
16
16
16
16
16
16
32
32
32
1
1
1
5
8
8
9
1
1
1
16
16
16
0
17
17
17
17
0
0
0
0
0
8
0
8
8
20
0
2
2
2
2
16
33
4
4
4
4
4
4
4
4
4
4
4
4
4
4
0
16
16
16
0
0
0
33
0
4
8
16
16
16
16
8
0
8
8
8
4
4
4
4
16
16
18
18
11
3
8
4
4
4
16
24
24
0
0
1
1
8
16
8
0
0
8
8
18
8
8
8
8
16
2
2
2
2
2
8
0
0
16
16
16
16
8
8
0
0
1
1
2
2
2
2
16
16
16
16
16
8
8
8
8
6
6
6
6
8
8
0
17
17
0
1
1
1
1
1
8
2
8
8
0
16
16
16
12
8
0
1
1
1
1
1
1
0
16
16
16
16
16
16
16
24
24
16
16
0
8
8
8
1
8
8
8
8
4
4
4
4
4
4
16
16
16
8
8
8
8
8
0
0
4
4
4
11
11
0
0
0
0
24
24
24
8
8
0
0
8
16
8
8
8
8
8
8
8
8
12
10
2
2
2
2
2
2
0
0
0
0
0
8
8
8
8
32
32
5
14
8
8
8
8
8
1
8
8
0
0
33
33
33
33
33
33
32
32
0
0
0
16
16
16
16
16
16
16
8
8
17
1
40
8
0
16
16
16
8
0
0
0
0
0
4
32
32
32
32
32
32
32
32
1
8
4
13
8
8
8
8
8
0
0
8
8
16
0
0
8
8
8
0
8
8
8
8
1
1
1
0
8
8
4
4
4
4
33
32
32
52
16
16
8
8
8
0
0
8
4
4
4
0
0
2
2
2
2
8
8
8
8
8
2
2
2
0
0
0
0
24
2
8
0
24
17
1
0
16
0
2
2
0
24
24
24
12
28
8
0
4
5
5
8
0
16
16
16
16
8
8
8
8
0
24
8
8
24
8
8
8
0
0
8
0
0
12
16
4
4
4
1
1
0
0
8
8
8
8
8
8
8
8
0
16
16
16
16
8
8
8
4
4
4
4
0
0
0
4
4
4
8
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
8
28
28
28
8
0
8
4
20
36
4
4
8
8
8
8
8
8
8
8
1
1
8
8
8
8
8
17
17
17
17
16
16
16
16
16
16
0
8
8
8
0
0
4
4
4
1
1
1
1
1
1
1
0
16
0
40
0
8
8
8
8
8
8
8
8
1
1
1
1
8
8
0
0
8
8
16
16
0
0
0
0
24
24
8
8
8
16
8
8
8
16
16
16
0
0
16
16
17
16
16
16
0
0
8
16
16
0
0
0
0
0
0
16
0
0
0
5
0
1
1
8
8
8
8
8
8
0
4
4
4
0
16
16
16
8
4
8
24
24
24
16
0
16
16
8
8
8
8
8
8
8
0
0
8
8
8
8
8
8
33
33
0
24
8
16
16
24
8
24
48
16
8
0
8
0
16
0
0
0
8
8
8
1
1
8
20
16
16
16
16
16
16
1
1
32
32
41
41
41
41
33
8
16
16
16
16
16
8
24
8
8
8
41
41
8
4
9
13
8
8
8
8
0
16
0
0
16
16
16
16
16
16
16
4
4
4
4
4
4
4
16
0
32
32
32
16
2
8
8
0
0
0
0
16
16
4
4
8
8
24
8
8
48
48
32
16
4
16
1
16
8
25
25
25
1
0
0
16
8
8
8
9
8
32
8
8
8
8
0
8
8
8
8
8
8
8
2
8
16
16
16
16
16
48
32
8
8
16
16
16
0
16
16
8
8
8
8
8
1
1
8
8
8
8
8
24
8
16
16
16
16
0
0
0
0
1
1
1
1
16
16
4
4
4
8
0
28
28
28
2
2
0
0
4
16
16
16
4
4
32
32
32
8
0
48
48
48
0
0
16
8
0
8
0
8
8
8
8
8
0
8
8
5
8
16
16
16
16
16
16
0
0
0
8
24
8
8
8
8
24
24
24
0
24
24
24
16
16
48
16
32
2
2
32
32
32
32
32
32
2
2
8
16
0
16
16
16
16
8
16
16
40
40
8
1
1
16
16
16
2
8
8
40
40
8
8
8
8
8
0
0
1
1
1
1
1
0
16
8
0
0
0
0
16
8
0
8
8
8
16
40
40
40
0
0
0
0
0
0
16
16
0
16
16
16
16
16
8
8
57
8
8
1
1
2
2
2
8
8
8
16
16
16
0
16
0
32
8
8
16
8
4
36
36
32
8
8
8
2
2
1
1
0
0
18
16
16
8
16
16
8
16
16
16
16
2
2
8
8
0
0
16
8
8
0
0
16
16
16
16
2
2
4
4
16
16
8
8
4
8
8
8
8
8
16
55
8
8
8
8
8
1
1
1
1
1
2
2
8
8
8
8
1
0
8
8
0
16
16
6
8
16
16
16
6
6
0
2
2
16
16
16
16
16
16
16
37
9
8
1
1
1
0
16
16
16
8
8
8
16
16
16
1
4
8
4
8
4
8
8
8
8
0
16
0
0
16
16
16
1
1
1
1
1
0
24
24
2
16
16
0
0
1
1
1
8
16
16
0
2
2
2
2
2
1
0
16
16
0
0
0
0
8
8
8
0
0
0
0
0
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
0
0
4
0
0
0
4
13
8
8
16
16
16
16
8
8
8
8
8
8
10
10
10
0
0
0
0
0
8
8
8
8
8
8
1
1
1
16
16
16
16
16
16
8
40
32
32
8
8
8
8
18
48
16
16
16
24
24
16
16
16
6
6
6
6
0
4
4
8
8
8
8
8
8
8
8
8
8
1
8
8
8
56
56
56
16
16
16
0
16
16
8
32
8
6
6
16
4
4
6
24
8
8
8
0
0
0
0
0
0
0
8
8
8
0
16
16
8
8
0
16
8
8
8
8
0
0
8
0
0
0
20
16
4
4
4
0
0
8
8
0
2
2
8
8
8
8
8
4
16
1
1
10
8
8
8
8
8
8
8
8
8
8
8
1
1
1
0
6
8
8
1
1
16
16
16
8
8
8
8
8
8
8
16
20
20
1
1
1
20
1
1
1
1
1
16
0
8
1
1
9
59
0
8
0
8
8
16
8
8
2
16
0
0
0
0
16
16
8
0
0
32
32
0
16
16
16
16
16
16
4
0
0
9
8
4
4
4
4
4
4
4
4
4
0
8
8
8
16
4
20
16
16
16
16
16
24
8
8
0
16
1
1
16
0
0
0
8
0
32
32
8
8
8
0
0
0
0
0
0
0
16
49
49
16
8
8
8
8
8
8
8
8
8
8
8
2
2
1
1
1
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
56
8
8
0
0
0
1
8
24
16
8
8
8
8
8
8
8
32
32
32
32
24
24
0
16
4
16
16
3
3
3
0
1
1
1
1
16
16
16
16
16
5
21
20
20
8
8
8
0
2
1
1
1
1
1
1
1
16
16
16
1
1
16
16
16
0
16
16
8
28
28
28
0
20
16
4
4
4
4
4
4
4
12
8
8
0
1
1
1
16
16
16
8
8
8
8
0
0
0
0
8
8
8
8
8
4
4
4
16
16
16
8
0
0
1
1
1
1
1
0
8
8
8
6
6
8
8
8
2
2
2
2
2
2
4
4
4
4
16
16
8
8
8
8
32
32
10
8
8
8
8
4
8
26
26
26
26
26
26
16
16
16
0
0
0
0
0
8
0
8
8
8
8
4
4
4
1
1
8
16
24
16
2
16
16
0
16
16
48
48
16
20
8
8
16
8
17
4
1
1
16
16
0
10
10
16
16
16
16
8
24
0
0
0
0
18
8
8
16
16
16
16
16
16
16
0
8
9
16
9
2
2
2
2
2
2
0
0
48
48
16
2
18
16
18
0
0
0
0
8
16
4
4
0
8
16
16
16
16
0
1
1
16
16
16
20
20
20
16
16
0
0
0
0
4
32
0
0
0
8
8
8
16
16
16
8
8
1
1
8
0
16
16
4
4
16
16
16
16
16
16
0
0
0
0
0
0
8
8
8
8
22
0
0
0
16
16
16
16
16
16
0
16
16
16
16
0
0
0
1
1
1
0
8
8
8
8
8
8
8
12
12
12
8
24
8
8
12
16
4
16
16
16
1
16
16
16
0
4
4
4
4
0
0
24
24
24
4
12
4
1
8
8
8
8
0
2
2
0
0
0
4
8
4
4
4
0
0
0
0
9
16
16
18
2
2
2
2
2
2
2
16
16
16
0
2
8
26
10
1
1
1
1
0
0
0
0
0
16
16
16
16
0
0
8
8
16
8
8
16
16
0
0
0
2
0
0
0
32
32
32
32
8
48
48
48
48
8
0
2
2
2
0
8
0
0
0
0
0
0
0
8
8
8
16
18
16
16
16
16
8
8
8
8
8
58
58
8
10
8
8
2
2
2
8
8
8
8
8
8
4
4
0
0
16
16
16
2
16
16
2
2
2
2
2
2
2
4
4
4
4
16
16
0
1
1
1
0
0
8
8
8
8
8
10
1
1
1
24
8
8
0
8
8
24
24
24
0
16
16
24
17
8
8
8
8
8
8
0
0
47
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
16
16
16
16
8
8
8
4
4
4
4
6
6
6
6
8
8
2
4
6
1
16
16
16
28
8
8
2
24
26
16
16
16
8
8
16
16
0
0
8
8
8
0
0
0
1
1
32
32
32
32
32
8
1
1
24
16
8
16
16
0
0
41
40
40
32
32
0
0
16
0
0
0
8
8
8
8
8
8
16
8
8
8
8
8
8
8
8
8
16
16
8
0
2
0
1
0
8
8
8
16
48
16
0
8
8
8
8
8
8
8
8
8
4
4
4
4
4
1
1
1
2
2
16
18
18
18
18
8
8
8
8
8
8
16
16
8
16
8
0
9
1
0
0
0
0
0
6
4
16
33
33
33
33
0
0
0
0
0
0
8
8
9
9
9
17
32
32
32
0
8
0
0
0
0
16
16
8
16
56
16
16
32
32
32
32
8
8
16
8
10
10
12
0
49
16
16
16
0
16
16
16
16
8
8
8
4
4
4
16
16
16
16
0
4
24
8
8
11
11
11
0
0
0
0
8
44
8
19
19
18
0
8
18
16
8
8
32
32
40
40
0
0
28
28
24
8
8
8
8
8
4
16
16
16
16
16
16
16
16
12
0
8
8
8
8
16
16
16
16
16
16
8
8
8
16
0
9
9
9
8
8
8
0
16
16
16
8
8
8
56
8
8
8
12
0
8
8
8
8
8
0
0
0
0
4
4
4
20
52
4
32
0
0
0
0
8
8
8
18
50
4
4
4
4
16
0
0
0
8
8
8
8
8
8
8
16
8
13
13
13
2
16
4
4
4
4
4
4
0
0
0
0
16
16
0
0
16
16
0
1
8
8
8
8
0
0
4
4
8
24
24
4
4
4
6
6
0
0
8
8
8
8
8
0
16
16
16
16
16
16
16
4
4
4
28
16
16
16
16
22
16
16
16
17
0
8
8
0
32
48
48
48
32
4
4
8
8
42
8
16
16
8
16
16
8
8
0
0
4
4
4
4
20
8
12
48
48
38
38
38
38
8
8
8
0
0
8
8
12
12
8
8
0
0
16
16
16
8
8
16
16
16
16
16
16
0
0
0
0
0
0
0
16
16
16
16
16
8
8
0
0
0
4
8
8
8
8
0
8
0
0
8
8
24
8
8
0
0
8
2
2
2
0
0
0
8
8
8
8
12
8
8
8
16
16
0
16
16
16
16
16
16
16
16
0
0
0
16
0
0
0
0
0
0
0
0
0
2
2
0
16
16
0
8
8
16
16
0
8
8
0
0
0
8
0
0
49
0
8
16
8
0
0
0
12
12
29
29
0
18
18
18
20
20
16
16
24
8
4
4
4
1
1
8
8
8
0
0
0
48
48
48
48
0
8
32
32
8
8
8
16
8
0
0
24
8
8
8
8
1
8
16
16
16
2
48
50
17
17
0
8
8
8
8
8
8
8
16
32
32
18
18
18
0
0
0
16
16
32
32
8
8
8
8
16
16
16
16
16
0
16
8
16
16
0
4
4
4
4
4
4
4
4
8
8
4
4
4
4
32
32
32
32
8
8
8
8
8
8
16
16
6
6
6
14
0
0
2
0
2
2
2
2
2
8
8
8
8
8
8
8
0
8
32
32
8
8
8
8
8
8
2
2
2
2
8
8
8
8
1
8
33
33
33
33
1
1
1
0
4
4
4
0
8
0
2
2
2
2
2
0
1
1
1
24
24
24
24
24
24
24
24
24
8
24
24
0
8
8
0
0
8
8
0
1
1
1
24
16
16
16
16
1
1
1
1
0
8
8
8
8
9
1
8
0
0
3
1
16
16
8
0
16
16
0
16
16
32
32
32
0
16
16
24
24
24
24
24
16
24
16
8
16
16
8
24
0
8
28
8
16
2
2
0
0
0
0
0
0
0
0
8
8
8
8
24
8
8
8
8
8
8
8
8
24
24
8
0
16
8
8
0
1
8
4
24
8
8
4
8
32
16
6
6
6
16
16
16
2
2
2
2
16
16
2
2
2
2
2
8
8
8
2
8
8
16
8
16
8
8
8
8
8
8
8
8
8
0
5
1
0
4
4
0
4
4
4
0
0
0
1
1
16
16
16
16
8
8
8
8
8
8
16
16
16
0
28
2
8
2
2
2
2
2
2
2
1
16
16
16
16
0
2
2
2
0
16
16
16
16
16
2
1
0
0
32
32
32
28
32
0
0
16
16
16
13
16
16
16
16
16
4
4
16
0
8
8
8
16
16
16
16
16
16
0
8
12
16
16
16
16
8
8
8
8
8
8
8
8
1
16
16
16
1
0
0
0
16
16
2
4
4
4
0
0
0
0
20
4
0
8
60
8
24
8
8
8
0
16
16
16
16
16
16
16
16
16
16
16
8
1
1
16
16
16
16
8
0
0
0
0
0
0
16
8
8
8
8
0
2
6
4
16
2
18
32
48
48
32
32
8
10
8
4
4
4
8
8
16
16
16
16
16
16
16
35
35
35
35
35
35
0
0
2
2
8
2
2
0
17
4
4
16
41
2
25
25
25
16
8
8
16
16
16
0
24
8
8
8
8
16
16
8
8
8
8
2
2
8
8
8
8
8
8
0
0
0
1
0
2
4
12
4
4
4
16
8
16
16
16
16
16
16
16
16
16
0
24
0
0
8
16
1
8
6
6
6
4
4
4
8
8
1
1
8
8
0
16
16
16
16
16
16
0
8
8
8
7
7
7
7
7
0
8
8
8
8
8
8
8
41
8
8
8
8
8
16
16
24
16
16
16
16
16
8
24
24
8
8
8
1
1
1
9
9
1
1
1
1
16
1
20
0
0
0
0
8
8
8
8
8
8
8
8
8
16
16
0
8
8
8
8
8
8
28
28
28
8
8
8
8
8
8
8
16
16
16
16
16
16
8
8
8
0
8
8
2
2
8
8
8
8
8
8
16
8
8
0
0
24
8
8
8
0
0
16
16
8
8
0
0
32
0
0
8
8
21
8
24
0
10
10
8
2
16
16
16
8
8
18
18
8
8
8
8
2
8
8
0
0
8
8
0
0
0
0
24
24
24
24
32
2
16
16
1
1
16
16
0
8
8
8
56
24
8
0
3
24
0
28
28
1
1
0
0
0
16
16
0
24
28
4
0
8
8
0
1
16
16
16
16
4
4
4
4
16
16
16
16
8
16
16
16
16
16
16
4
4
4
4
4
4
0
32
32
32
32
32
16
8
8
8
1
1
13
13
13
1
8
0
0
0
0
0
8
8
8
2
16
18
16
16
16
16
16
16
16
16
8
16
16
8
0
8
8
8
8
8
8
1
1
1
1
8
8
8
8
8
8
1
4
4
4
0
0
0
32
32
2
24
16
16
16
0
9
9
9
9
8
8
0
0
0
16
16
16
1
1
16
16
16
32
16
16
16
16
16
16
16
0
16
0
0
1
9
1
8
8
8
8
8
7
7
7
32
32
8
8
16
16
24
24
0
8
28
28
2
2
2
2
0
8
8
8
8
8
8
32
32
16
2
2
12
12
3
16
16
16
16
10
10
10
10
0
8
0
0
16
8
8
8
8
0
0
0
12
12
12
12
16
16
16
16
24
16
0
4
4
4
0
0
8
8
0
0
1
1
1
24
8
24
16
17
17
26
24
8
8
8
1
1
1
1
0
0
16
16
0
8
8
16
16
4
4
4
4
4
24
8
0
4
16
16
16
16
16
0
0
0
0
0
1
16
0
0
8
0
0
0
2
0
0
0
0
16
16
16
16
16
16
16
16
3
3
2
2
2
2
16
16
16
16
16
8
8
8
16
16
16
16
16
0
17
26
8
8
48
48
48
16
24
4
4
4
0
16
16
8
32
32
32
32
0
0
0
0
0
0
0
0
0
0
16
16
4
4
4
2
8
8
8
8
8
8
2
2
8
8
0
32
32
40
0
4
4
4
2
16
2
16
16
16
16
16
16
0
0
0
32
32
32
32
8
12
8
8
8
8
8
8
8
0
0
2
8
9
8
8
1
1
8
8
8
8
32
32
1
0
4
8
16
16
0
0
0
0
9
9
16
16
1
1
1
1
1
19
0
0
0
16
16
32
32
32
32
32
32
32
32
32
32
8
8
8
8
8
0
0
8
16
16
0
8
8
8
8
0
0
10
2
4
16
16
16
16
16
16
16
16
16
16
16
16
0
8
8
8
0
2
10
8
8
8
0
0
0
0
1
8
0
8
8
0
28
16
8
24
8
24
16
16
16
0
8
0
1
1
1
0
0
32
8
14
14
14
14
14
14
8
16
16
16
1
1
1
8
8
16
16
24
1
32
32
32
32
32
32
32
32
32
34
8
8
8
8
8
8
0
1
1
16
8
8
8
8
24
24
8
8
8
8
16
8
16
8
8
0
0
1
4
16
4
4
1
16
16
8
16
40
4
4
4
4
2
8
8
8
8
8
8
16
8
0
8
8
24
0
8
8
8
8
8
8
25
25
25
25
8
8
8
8
16
16
16
0
0
0
0
0
0
32
0
0
8
8
8
16
16
1
1
1
1
1
8
8
0
0
0
0
4
1
0
0
0
0
2
2
2
2
0
0
15
15
15
15
8
4
4
0
0
12
32
16
24
1
1
34
32
32
8
0
8
8
8
16
8
17
1
1
1
1
8
0
0
0
0
0
16
16
8
4
8
8
1
0
40
56
56
56
16
16
16
16
16
0
0
0
0
0
8
8
8
8
0
16
16
8
16
16
16
8
32
1
1
16
4
4
4
8
16
8
8
8
24
24
24
12
12
8
8
8
1
1
24
0
0
0
0
0
0
0
0
0
0
0
0
32
8
8
8
8
8
9
9
16
16
16
8
8
8
8
8
8
8
8
8
16
16
16
24
24
8
0
12
12
16
16
16
0
14
8
8
0
0
0
8
32
32
32
32
0
0
0
0
16
8
16
0
1
4
4
1
1
16
16
16
24
24
24
0
0
0
8
8
8
16
16
16
16
16
16
16
1
0
0
0
4
8
8
16
24
24
8
8
8
8
8
8
4
4
1
0
0
2
0
0
19
19
8
8
8
8
1
1
8
8
8
8
8
24
16
16
16
16
16
16
16
8
32
24
10
16
16
0
0
0
16
16
16
16
24
24
24
24
16
16
16
27
4
4
4
4
4
4
4
12
0
16
16
0
0
16
16
16
16
16
16
16
16
8
8
38
38
38
32
32
16
20
16
16
20
16
0
32
32
32
8
8
8
8
8
8
8
8
8
8
0
8
2
6
14
6
16
16
8
8
8
0
0
25
20
20
8
8
8
8
16
16
24
16
16
16
8
32
32
2
9
9
9
0
0
16
16
2
8
8
8
0
16
16
16
0
0
0
8
8
16
16
16
16
32
32
1
1
1
1
8
8
8
1
1
1
1
8
8
8
8
8
8
8
16
16
8
4
4
4
4
2
16
16
16
16
0
0
8
8
8
8
1
1
1
1
16
16
16
16
16
16
8
8
24
26
24
8
0
8
8
8
16
8
8
17
16
16
8
8
8
8
8
1
1
1
8
8
8
8
8
16
24
8
8
8
8
8
4
12
12
4
5
5
4
1
1
1
1
8
24
24
8
8
8
8
8
8
8
16
16
16
1
0
0
8
8
8
8
8
8
8
8
4
4
4
2
2
2
0
1
0
0
16
16
0
16
16
16
0
0
8
8
8
16
16
16
16
16
0
0
0
8
1
1
1
0
16
16
1
1
1
1
8
16
1
1
1
1
1
56
0
4
0
8
0
16
16
16
16
8
8
8
8
8
0
8
0
16
0
0
0
0
1
1
16
16
16
0
8
8
8
16
16
0
8
8
8
0
0
0
0
0
16
16
32
8
24
8
4
16
16
16
8
8
8
1
17
2
16
8
17
17
0
0
8
8
10
3
3
3
3
0
0
16
16
16
8
8
16
16
20
16
0
32
32
32
32
12
12
12
8
8
8
16
16
16
16
16
16
16
16
16
0
16
16
16
0
0
8
0
32
16
8
8
0
16
8
8
8
8
8
8
8
8
8
1
8
0
16
16
16
16
0
16
0
8
8
0
8
0
0
0
0
0
0
16
16
16
16
8
8
8
24
0
40
40
40
40
8
8
8
8
8
8
8
16
1
1
0
32
32
32
32
16
1
1
1
4
2
17
1
1
1
8
8
8
8
1
1
1
16
16
16
16
16
16
16
24
8
16
24
0
0
8
8
8
8
0
0
0
0
0
0
0
0
8
2
8
12
8
8
24
24
24
24
16
16
16
16
16
16
16
16
16
16
16
16
16
16
0
16
4
6
6
6
1
1
9
16
8
8
0
0
0
24
8
16
16
16
16
16
16
16
16
16
16
16
16
16
16
20
16
16
16
0
24
0
0
0
8
8
12
8
1
17
1
1
1
0
4
4
4
4
0
8
8
8
24
16
18
16
16
16
16
32
8
8
1
1
0
0
0
0
2
16
24
24
24
1
1
8
8
8
8
8
8
33
33
24
24
8
8
0
9
9
16
16
8
24
8
8
8
8
8
8
0
44
0
2
2
2
2
1
1
0
0
0
24
8
8
8
8
8
8
8
8
8
8
8
8
8
4
4
4
0
0
0
8
0
4
8
8
8
20
16
16
16
16
32
4
4
4
4
4
8
8
8
8
8
8
16
0
8
8
8
8
8
8
8
0
0
0
2
2
2
2
2
2
2
0
4
6
4
8
4
4
0
8
8
8
8
33
33
16
32
32
32
16
8
8
8
0
0
17
17
17
17
17
16
16
16
16
0
0
8
8
8
8
8
0
0
1
16
16
0
8
8
8
8
8
52
36
36
0
0
0
0
0
16
16
0
0
0
0
0
16
16
16
32
32
32
0
0
0
2
8
8
4
4
4
0
2
16
1
1
32
32
32
9
8
8
8
8
8
24
24
8
16
16
16
16
16
8
8
8
8
0
0
0
2
2
2
0
1
1
20
0
0
16
20
20
8
1
12
12
12
16
16
16
16
16
24
0
16
50
50
8
8
8
0
0
0
0
0
0
0
0
0
0
51
24
24
8
8
6
2
2
0
0
0
0
19
2
2
0
16
48
16
16
16
0
24
8
8
16
2
2
16
16
16
8
24
0
0
0
2
1
1
1
0
0
1
16
16
16
0
0
0
0
0
0
4
4
4
4
4
4
4
4
4
2
2
16
24
8
8
8
8
8
0
0
0
32
33
33
33
8
8
57
20
8
0
0
8
8
0
2
2
2
2
2
0
8
9
8
2
4
8
8
8
8
8
8
16
0
0
2
2
2
2
2
2
8
8
8
24
8
8
8
32
1
0
0
0
0
0
0
0
8
8
8
8
16
24
8
8
8
0
0
1
1
40
40
20
20
16
16
16
4
20
4
0
8
8
0
0
0
0
0
0
0
8
8
8
16
16
20
16
8
8
16
16
16
16
16
16
8
8
8
0
0
1
2
2
16
16
1
1
32
49
48
24
16
2
4
9
0
16
16
0
0
0
0
0
0
8
8
8
2
2
8
0
12
12
16
16
0
0
8
3
16
4
4
2
4
4
0
8
33
21
0
0
0
0
0
1
1
5
1
8
8
8
8
8
8
8
16
16
0
0
0
0
0
0
0
16
16
16
8
8
8
4
4
0
0
16
16
16
16
4
0
8
24
24
24
8
41
8
0
8
16
24
16
16
16
16
0
0
0
0
16
16
16
0
8
0
0
0
8
8
0
8
8
8
8
8
8
4
4
16
4
4
0
0
40
8
39
24
4
4
4
0
36
36
36
16
36
37
36
36
36
4
4
4
4
4
8
8
10
8
8
8
8
8
8
16
16
16
0
0
0
0
24
1
16
16
16
8
8
8
2
2
16
16
0
1
1
20
8
1
1
1
8
8
8
8
16
16
16
16
8
8
8
8
8
0
0
8
8
8
8
0
0
4
4
4
4
8
8
0
0
8
8
8
8
8
8
16
24
8
8
8
8
8
8
16
24
0
4
24
40
0
8
8
8
8
8
8
0
16
16
4
4
4
4
8
8
8
24
16
8
28
0
0
8
8
8
8
4
0
0
16
16
16
8
8
8
8
8
8
32
32
32
32
0
0
1
1
1
24
8
8
8
8
8
16
0
0
4
8
8
8
0
0
0
0
0
0
16
16
16
0
16
16
0
16
2
32
0
0
1
1
1
1
1
1
8
24
8
8
0
16
16
16
16
0
16
2
0
16
8
8
0
0
16
16
16
16
32
1
16
16
16
1
8
0
8
4
4
4
32
16
16
8
0
4
32
32
16
16
16
16
16
1
16
16
16
17
17
0
0
8
8
4
4
32
32
32
32
32
32
32
0
8
8
8
8
8
8
32
0
40
8
8
8
8
8
8
8
37
37
16
16
0
0
0
16
16
16
16
16
16
4
0
0
0
0
1
1
8
8
8
8
1
1
16
16
16
4
4
8
16
16
8
8
2
8
8
8
8
8
24
0
0
0
16
16
16
16
16
8
8
8
8
0
0
4
4
1
1
1
1
1
8
8
8
0
0
16
16
16
16
16
0
16
16
16
0
0
8
8
8
8
8
8
1
1
5
16
8
8
0
0
0
0
0
8
0
0
0
1
1
1
0
0
0
8
8
8
16
16
8
8
1
17
17
4
4
4
12
0
16
16
16
2
2
2
2
2
2
2
16
16
16
1
16
17
8
12
12
12
16
8
2
2
18
2
2
17
17
17
17
0
16
4
2
2
2
2
0
4
4
4
4
16
16
16
21
21
21
16
16
16
16
16
16
16
8
16
8
16
16
0
8
8
8
8
8
8
0
8
8
8
16
1
1
18
18
16
8
8
8
4
57
57
57
57
57
16
16
16
16
16
24
24
8
0
0
16
16
16
16
16
4
4
4
4
4
0
0
0
0
0
16
16
18
16
16
16
16
16
16
10
10
16
16
1
1
16
16
4
4
0
8
8
8
8
8
8
8
1
1
1
1
2
8
8
16
16
16
16
16
16
16
16
16
16
16
1
1
1
1
18
18
18
18
0
0
20
4
4
1
1
1
0
0
1
1
8
1
1
1
1
1
0
0
8
8
2
16
0
4
4
4
4
0
0
4
32
36
16
16
8
1
1
1
0
0
0
0
8
16
16
1
1
1
40
40
20
9
9
8
8
16
16
0
0
4
4
8
8
8
8
8
8
8
0
0
0
0
0
8
32
32
34
16
16
0
0
0
28
8
22
22
8
1
0
0
24
0
0
0
8
1
1
8
8
8
8
8
8
8
16
16
16
8
8
3
3
3
2
2
16
16
8
57
4
28
16
8
8
8
8
8
8
8
8
16
0
16
1
1
1
1
2
32
12
8
8
8
8
8
8
0
0
16
16
16
16
8
8
8
8
8
8
0
8
8
8
0
0
0
0
4
4
4
8
2
8
20
20
20
8
16
16
16
16
0
0
4
4
4
4
4
4
8
8
16
16
16
16
16
16
16
16
16
0
16
16
16
8
8
9
17
17
0
0
4
4
16
0
0
0
9
9
9
4
4
2
0
16
16
16
16
0
0
8
8
4
4
4
4
4
4
4
16
16
1
1
10
8
8
8
16
16
16
0
0
0
0
0
0
0
8
48
32
32
0
0
0
0
16
0
4
0
4
4
4
4
4
12
2
10
2
8
4
4
4
8
8
8
8
8
8
0
0
0
0
0
1
1
0
16
24
24
24
24
4
4
4
4
13
13
8
2
16
16
16
8
8
8
8
24
26
2
4
4
4
4
0
0
8
8
2
18
2
2
2
8
32
32
4
32
32
32
32
32
1
1
1
51
16
16
8
16
0
16
16
16
0
0
0
0
0
24
24
2
2
2
2
2
8
8
8
9
20
4
4
4
8
24
16
16
16
16
16
0
0
0
2
14
6
8
17
1
1
0
44
12
12
0
24
0
16
16
8
8
8
8
8
8
8
8
16
16
16
16
16
16
16
16
16
8
0
0
16
16
8
4
8
8
1
1
1
2
48
16
8
8
8
0
0
0
8
4
4
4
0
0
1
4
16
16
8
8
8
8
16
4
4
4
16
8
1
1
1
1
1
1
8
8
8
8
8
8
0
0
0
0
0
2
8
18
2
16
0
1
9
8
8
8
0
0
8
8
8
42
2
40
2
8
8
16
0
0
0
24
16
16
16
32
9
8
8
2
2
4
4
4
17
16
16
16
16
16
0
24
12
8
0
0
0
2
8
8
24
16
8
24
16
16
16
8
8
0
0
4
4
0
0
0
4
4
4
0
0
0
0
0
0
8
8
2
2
2
2
2
2
16
12
1
12
8
8
8
19
19
16
16
16
16
16
16
16
4
4
4
4
4
8
8
8
8
8
8
8
8
8
0
0
0
0
0
8
8
8
8
8
8
4
4
8
16
1
1
1
1
1
1
1
1
1
1
1
12
0
0
0
0
2
2
2
2
24
24
0
0
0
0
0
0
0
16
16
16
32
40
32
8
8
8
8
8
16
16
16
16
20
0
8
8
24
8
8
8
0
0
8
8
8
8
16
16
16
8
8
8
8
0
0
8
28
4
20
0
0
16
16
16
16
0
0
0
0
0
0
2
2
2
2
0
0
8
8
4
4
4
16
0
4
4
4
4
8
1
0
8
0
16
16
4
4
1
1
32
1
0
1
17
16
16
0
0
0
0
16
16
16
8
18
2
0
16
16
16
8
2
8
0
0
0
8
8
8
8
0
32
32
8
39
39
39
39
39
32
1
1
1
8
1
0
0
0
0
0
4
4
4
33
33
33
33
33
33
33
8
8
8
8
1
4
0
16
16
16
8
0
0
8
8
8
8
16
2
0
32
10
10
10
8
8
8
8
8
8
8
21
16
16
16
16
17
8
8
8
8
8
8
8
8
1
16
8
24
24
16
16
1
1
1
1
1
8
4
8
8
8
16
1
48
32
32
8
8
24
24
16
8
24
24
16
16
8
8
8
24
16
16
16
16
16
16
16
14
2
12
8
32
2
2
2
8
8
8
8
8
8
8
8
8
4
0
8
0
8
8
0
0
1
16
1
1
1
1
16
0
16
16
16
16
16
16
16
16
8
8
8
8
8
26
1
1
1
1
1
8
8
0
0
20
1
1
1
2
2
4
8
0
8
8
8
8
32
8
8
8
8
8
8
8
8
8
8
8
8
8
8
16
16
16
0
24
2
8
8
8
8
16
16
16
0
16
8
8
8
8
8
8
0
8
8
8
0
4
4
4
4
4
1
1
1
1
0
0
8
8
16
16
16
1
16
16
16
16
16
16
2
2
1
1
1
1
1
1
1
1
16
16
0
0
0
0
0
1
8
4
12
16
0
0
8
8
8
8
16
16
16
0
2
2
32
32
8
8
8
32
8
8
8
8
9
0
30
6
16
8
8
8
20
4
0
0
0
16
0
8
8
0
0
25
1
8
8
4
8
0
0
0
0
0
0
4
4
4
4
0
32
16
16
24
16
16
16
16
16
16
16
16
16
4
4
16
16
16
16
1
10
2
8
8
8
16
16
16
10
8
8
1
1
0
16
8
8
8
8
8
8
8
8
8
0
0
8
8
16
24
16
1
1
1
1
4
4
16
16
16
8
8
8
4
4
4
4
4
0
0
0
0
7
0
1
1
1
1
16
16
16
8
8
8
2
4
6
16
16
16
8
8
8
16
16
16
16
0
0
0
0
2
2
0
32
32
0
8
8
8
8
8
24
0
0
0
8
16
16
16
16
16
16
8
32
4
1
4
4
4
4
4
4
4
0
4
4
4
4
8
8
8
24
24
24
8
8
7
7
18
0
16
16
0
0
0
16
8
8
8
8
4
4
16
16
16
16
2
2
7
8
0
24
24
24
24
16
8
8
0
4
4
0
4
0
0
0
8
8
16
16
16
16
16
16
16
16
16
16
1
1
8
8
4
6
4
4
8
1
1
0
0
8
8
8
0
1
1
1
8
16
16
16
16
1
0
0
0
0
16
12
4
8
8
1
1
0
8
8
12
8
8
8
8
8
8
8
24
8
8
5
37
5
1
10
10
32
33
48
16
32
32
32
32
16
16
24
24
17
16
16
0
0
0
32
57
57
57
57
57
57
57
4
4
8
8
8
8
8
8
8
8
8
24
24
4
2
2
2
0
8
8
8
0
0
0
0
0
8
8
12
24
8
8
8
8
0
0
0
0
8
8
1
1
1
16
16
16
16
8
8
16
16
16
0
8
1
1
1
1
1
1
1
32
16
16
8
25
8
8
8
8
8
8
16
16
16
16
16
0
2
0
0
16
2
16
16
16
16
16
16
4
0
0
23
23
23
23
23
8
32
32
32
32
53
8
8
8
8
32
8
2
8
16
16
21
0
8
8
8
8
16
1
8
4
12
16
16
8
32
32
8
2
16
16
16
16
0
16
16
16
0
39
39
39
39
8
8
8
8
8
8
8
8
16
8
1
1
8
9
1
8
8
16
16
2
2
1
1
1
21
1
4
16
1
17
32
32
32
4
4
12
4
4
16
16
16
1
16
17
17
16
16
0
0
0
0
1
1
1
8
1
1
16
16
16
16
16
16
0
0
8
8
0
0
8
0
5
5
8
8
8
16
17
16
8
27
0
0
0
0
0
0
8
16
16
16
16
8
8
8
0
61
57
8
8
8
8
8
8
8
8
8
0
0
32
32
4
4
4
16
48
56
48
0
12
8
8
8
8
8
8
16
16
16
22
0
16
16
16
16
16
0
0
1
1
1
0
0
32
32
32
32
32
32
16
0
0
1
1
1
1
32
1
33
33
0
4
4
4
1
1
1
1
1
1
1
1
1
1
8
1
9
1
1
1
1
0
16
0
8
0
8
9
16
16
16
0
4
4
4
4
0
0
16
16
16
16
16
16
0
0
17
17
17
16
1
0
16
16
14
8
6
8
8
8
8
0
2
0
0
24
8
8
8
4
24
24
24
0
0
0
16
16
4
4
4
8
8
8
8
8
4
4
4
1
1
24
8
0
0
0
0
8
8
8
8
8
34
34
34
8
0
0
16
8
16
0
8
8
8
8
8
8
0
0
0
0
0
9
9
9
9
9
9
16
16
16
16
8
8
0
0
8
8
8
8
16
16
8
8
8
8
1
1
1
1
1
0
20
20
20
16
16
16
0
0
0
0
8
8
0
0
0
0
32
8
8
8
6
4
0
0
0
8
0
0
0
0
0
0
24
0
0
8
4
4
4
4
16
16
0
0
0
16
8
0
0
16
16
4
8
8
16
4
4
2
2
0
0
24
8
16
8
8
16
16
0
0
0
0
0
4
4
4
4
4
0
0
32
32
32
32
16
16
16
1
1
1
8
8
8
2
2
16
16
16
8
8
8
16
16
8
8
8
16
16
2
3
2
2
2
2
1
3
0
16
16
16
16
16
0
0
0
4
4
4
4
4
4
8
16
0
8
8
8
8
8
16
4
16
8
8
0
2
2
2
0
16
16
16
16
16
16
16
4
16
16
16
16
16
16
16
32
32
32
16
32
32
32
32
8
8
8
8
8
8
20
20
20
20
16
16
16
16
8
0
0
0
4
4
8
8
8
8
8
8
8
8
2
2
8
8
0
8
8
0
0
16
16
16
8
0
0
0
0
0
48
48
48
8
8
8
8
8
8
32
32
32
32
32
32
32
16
16
16
6
2
2
0
2
2
2
8
0
8
16
16
8
0
0
0
0
0
16
16
32
16
16
16
8
24
24
8
0
0
0
0
0
0
20
20
8
8
8
16
16
4
32
6
19
2
2
2
2
0
16
16
8
16
16
2
4
1
5
16
16
8
32
40
40
8
8
0
16
0
11
16
16
16
16
8
8
0
0
0
33
1
1
1
1
1
1
1
0
1
1
8
8
8
24
0
12
32
16
16
1
1
0
16
16
16
16
0
1
1
8
8
8
8
2
18
2
2
4
4
4
4
4
4
8
8
8
0
0
8
8
32
32
8
8
6
6
6
1
16
16
1
1
32
32
32
32
32
32
32
32
0
0
0
0
0
0
0
0
0
8
8
8
1
8
8
8
16
8
8
8
8
4
4
4
4
4
4
0
0
0
16
16
16
16
16
16
16
4
4
4
4
8
8
8
8
8
0
4
4
4
0
0
8
8
8
4
8
8
16
2
1
1
1
16
16
16
16
16
8
8
8
8
8
8
8
8
2
4
8
8
6
6
0
0
0
0
4
2
2
28
0
28
16
16
16
32
52
4
4
4
4
4
4
16
16
16
2
2
8
8
8
8
9
24
8
0
0
0
8
16
0
0
16
16
16
16
16
8
8
0
0
17
1
1
1
1
1
1
8
8
16
0
0
8
8
8
4
4
4
0
2
2
8
16
16
16
16
0
16
16
16
4
0
0
0
8
8
8
8
8
25
8
2
2
16
16
16
0
0
0
16
16
25
25
25
16
32
32
32
32
0
0
16
0
16
16
16
16
0
24
24
24
0
0
49
49
8
8
8
8
8
24
8
8
8
8
8
0
8
8
8
0
0
0
0
32
16
16
8
16
16
16
16
16
16
16
16
16
8
8
0
3
1
24
8
4
4
4
16
2
2
0
4
8
8
0
40
40
40
32
8
8
32
32
32
32
32
32
32
32
32
32
32
32
16
16
16
16
0
0
8
8
8
8
8
16
28
16
20
0
0
8
4
4
4
2
2
2
2
2
16
16
16
40
1
40
40
40
40
40
8
8
8
16
16
16
16
0
8
8
8
8
8
4
8
16
8
8
12
24
8
8
8
8
16
16
8
8
8
8
6
4
6
0
0
0
24
28
8
8
16
24
16
4
12
18
18
18
33
2
8
8
8
24
8
8
8
0
0
0
0
0
1
4
12
8
8
57
49
0
0
8
8
0
0
0
24
16
8
24
16
0
0
16
16
16
0
16
4
1
1
0
8
8
8
8
8
8
8
1
16
16
0
0
8
0
4
4
16
0
1
0
4
20
4
4
16
4
4
4
4
16
32
8
32
6
6
4
0
0
8
4
1
1
0
0
0
0
8
8
8
8
8
8
8
16
16
17
32
1
8
4
4
4
8
8
8
8
8
16
1
1
2
16
16
16
16
0
1
1
0
32
32
8
8
8
8
0
10
10
10
24
16
42
8
8
8
8
16
16
16
4
16
16
16
16
16
16
8
8
0
16
8
16
16
16
16
16
16
16
16
8
32
16
16
34
50
34
16
16
16
16
16
16
16
24
24
1
1
8
1
1
1
0
0
32
0
0
2
2
8
8
8
0
8
8
8
8
2
2
4
8
0
0
0
0
0
8
2
2
6
1
1
17
17
17
0
0
0
8
8
8
8
8
20
2
2
2
8
8
8
12
8
8
8
8
8
8
8
8
8
8
1
20
20
20
16
16
16
16
24
16
16
16
16
16
16
8
8
16
16
16
16
16
16
16
16
4
4
4
0
0
0
0
8
8
8
0
8
8
8
0
0
0
0
0
8
8
8
8
8
8
0
0
0
0
8
8
8
8
16
24
8
32
32
16
25
16
0
0
8
8
20
20
20
20
16
16
16
16
16
0
0
16
16
16
16
16
16
6
6
0
32
40
32
32
32
6
8
8
12
0
0
0
16
16
16
16
8
8
16
16
16
16
0
8
8
0
4
0
16
8
8
8
8
8
8
1
1
24
24
8
8
8
8
8
40
8
8
8
8
8
8
8
8
8
0
0
0
8
17
0
8
40
8
8
16
0
8
8
8
0
32
32
32
32
32
8
8
8
0
8
8
8
49
16
16
16
0
8
8
8
8
8
8
0
0
0
0
16
16
16
16
16
16
8
8
8
8
8
0
16
16
8
8
8
8
12
8
8
8
0
0
0
0
0
1
16
16
16
8
8
8
8
8
8
32
32
16
2
2
8
8
8
8
2
2
2
2
0
0
0
8
16
1
1
24
24
24
24
16
16
9
8
1
8
8
8
0
0
0
8
8
40
40
40
4
3
2
8
8
8
8
0
0
0
0
0
0
8
8
8
8
8
8
22
0
8
0
8
8
8
8
24
24
24
16
27
27
27
0
0
0
0
2
2
2
2
28
0
1
1
1
0
0
0
16
16
0
0
0
16
16
1
1
1
16
24
1
17
16
16
16
16
16
16
8
0
0
4
20
4
4
12
0
8
8
8
8
8
8
8
24
24
24
4
12
4
4
4
4
41
41
0
0
0
0
0
0
8
8
8
8
8
8
2
2
2
0
16
8
32
32
24
0
0
16
16
16
20
22
22
22
2
8
2
2
2
20
8
19
16
4
4
4
4
0
0
8
8
8
4
4
4
4
4
4
8
8
8
8
8
28
0
0
8
16
17
16
0
16
16
0
0
16
16
8
0
0
8
8
16
16
16
0
0
0
1
1
1
1
8
2
1
1
19
1
16
0
8
0
0
0
0
0
0
0
16
16
0
0
8
8
8
8
8
8
8
8
16
16
16
16
16
8
8
0
0
8
8
8
8
16
16
16
16
16
8
8
8
8
16
8
8
8
8
8
4
4
4
32
32
32
32
8
8
41
8
41
41
4
4
0
1
1
1
1
8
8
40
40
45
45
45
8
8
0
16
16
16
16
1
0
1
1
1
0
46
34
34
34
34
34
34
34
34
34
34
34
34
34
0
0
8
8
8
8
8
8
8
24
8
16
0
8
8
4
4
4
4
4
16
16
16
16
16
16
16
16
16
16
0
0
32
4
16
16
8
8
8
4
4
0
8
8
8
8
18
2
2
16
2
2
2
16
16
32
32
0
10
8
8
8
2
2
0
8
8
0
0
8
24
24
24
1
8
8
8
8
4
4
20
4
4
4
4
4
32
40
8
8
8
8
8
0
0
32
32
8
8
8
8
8
8
0
8
8
8
0
0
8
16
16
16
8
8
8
8
8
16
16
28
28
28
28
0
0
0
16
16
16
16
16
16
16
16
8
16
8
2
2
4
0
8
3
1
2
3
1
16
16
0
16
16
1
16
8
0
0
16
16
16
0
8
8
8
0
4
4
8
8
8
8
8
1
8
8
8
8
8
4
4
4
2
2
2
2
2
9
16
17
1
1
4
4
4
4
4
8
8
8
16
16
16
0
4
8
20
20
0
0
16
16
10
10
0
0
0
0
0
0
16
0
0
8
12
12
0
4
4
4
8
8
16
16
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
20
20
20
20
0
0
0
8
8
8
8
8
16
16
16
16
16
24
24
16
8
8
8
0
8
8
8
8
0
16
18
16
16
16
8
8
28
0
0
0
1
1
1
16
16
16
8
8
8
8
8
0
0
0
1
17
1
8
24
8
8
8
25
16
8
8
4
4
0
16
8
8
8
8
8
8
8
16
16
0
0
8
8
8
8
33
16
16
16
16
8
8
0
0
0
1
8
0
4
0
8
0
2
24
6
25
0
0
0
6
6
6
6
4
4
1
17
0
8
8
7
8
8
8
8
16
8
8
8
24
0
16
0
1
1
1
1
0
0
0
8
8
24
0
2
2
0
0
8
32
32
32
8
16
16
16
24
1
1
1
1
1
16
16
16
16
16
8
8
8
8
0
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
0
0
0
2
2
24
24
24
16
16
16
16
1
1
1
1
0
8
8
8
8
1
1
1
1
0
8
8
8
0
2
2
8
8
8
8
8
8
16
16
16
16
8
8
8
16
16
1
2
4
4
0
8
4
4
12
0
0
8
4
6
8
8
8
8
20
1
1
8
9
8
8
8
8
8
8
4
1
1
0
0
0
2
6
2
2
0
0
16
1
1
4
4
4
4
4
4
8
8
0
0
0
0
0
0
20
16
16
16
16
16
16
0
1
1
0
0
16
16
16
16
16
1
16
24
8
8
0
4
4
4
4
0
0
0
0
0
0
8
8
2
2
1
1
1
1
16
16
2
8
0
32
1
0
0
8
8
8
8
1
8
8
8
8
8
8
0
0
8
8
8
1
1
1
1
0
0
8
8
8
2
2
0
4
4
4
4
4
4
4
4
4
4
4
8
4
0
8
17
0
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
2
17
17
17
17
17
8
0
0
0
16
16
2
50
2
18
2
4
8
0
0
4
4
4
0
0
1
1
1
1
1
28
28
28
28
2
8
8
8
4
0
0
4
4
4
1
0
16
16
16
16
16
16
8
8
8
8
0
0
24
16
16
16
16
8
16
16
16
16
8
8
16
16
16
16
16
16
16
8
8
8
8
8
8
8
0
0
8
1
16
16
16
16
16
16
16
16
16
16
8
0
4
4
4
0
0
8
8
0
0
16
16
16
8
8
16
34
34
34
16
16
16
18
18
18
4
8
8
8
8
8
8
0
0
24
24
8
8
4
8
0
8
13
8
8
24
0
0
24
24
24
24
16
16
16
1
1
8
8
8
8
8
18
18
17
16
24
24
0
1
0
2
4
4
4
4
4
2
8
8
0
8
8
8
16
16
16
16
16
16
24
16
16
16
16
16
0
16
16
16
16
16
16
16
8
8
8
16
16
16
0
16
16
16
16
16
48
16
16
4
32
20
0
0
0
0
0
0
0
8
8
16
24
24
8
8
8
8
8
4
20
0
8
8
4
8
8
8
0
0
16
16
16
16
16
16
16
16
16
16
16
20
8
56
1
1
32
4
0
0
0
0
8
4
4
8
4
4
4
24
16
4
8
8
8
16
16
16
16
16
16
16
16
8
8
8
8
16
16
16
16
16
16
16
16
8
0
6
6
16
16
2
2
0
0
16
16
16
16
16
16
16
8
8
8
8
24
24
16
8
8
8
8
0
0
16
24
24
8
8
0
8
8
1
16
20
20
20
20
20
16
16
16
4
16
16
16
8
16
4
4
4
2
2
16
16
8
8
8
8
8
8
8
2
16
16
16
16
8
48
48
48
48
48
32
32
8
8
8
8
8
8
8
8
16
8
8
8
24
8
24
4
4
4
4
4
8
8
8
8
8
12
4
32
32
32
32
32
32
0
0
0
32
32
32
32
8
0
4
6
6
2
32
32
9
32
8
16
16
16
8
8
8
8
8
24
8
8
12
12
8
8
28
28
24
24
8
8
8
8
8
8
8
8
8
8
0
0
34
0
8
40
16
1
8
8
8
8
8
0
4
5
5
0
12
8
0
0
24
16
8
8
8
0
0
0
0
0
0
0
0
0
8
8
8
8
8
4
4
4
4
5
17
17
16
17
4
4
4
20
8
8
8
8
8
11
2
2
2
4
16
0
2
2
2
0
0
0
16
16
8
1
1
1
8
24
24
8
16
0
8
0
0
8
32
32
32
32
32
32
8
8
4
4
4
8
8
8
8
4
12
8
8
8
8
8
8
8
8
0
4
4
4
4
16
0
8
12
8
8
8
8
8
16
20
8
8
8
8
2
2
8
8
16
16
16
16
8
8
8
8
8
8
8
16
16
16
16
16
0
16
8
24
16
24
16
16
16
16
16
16
8
8
4
4
0
0
0
2
2
2
2
2
52
4
4
4
16
16
18
2
4
4
4
1
1
1
1
8
8
8
8
8
16
16
24
24
3
0
8
16
4
0
0
0
0
0
0
8
8
8
8
8
2
2
0
0
0
8
8
8
8
8
8
8
0
16
1
0
4
20
20
16
16
16
16
4
16
20
0
0
8
8
8
8
8
8
0
0
4
0
0
0
0
0
20
8
8
8
8
13
13
13
16
16
25
25
25
25
25
25
1
1
0
0
16
16
4
4
0
26
26
2
2
2
2
2
40
8
8
8
8
8
16
16
16
16
2
2
8
0
8
48
48
0
8
8
0
0
4
4
4
0
0
16
16
16
16
16
16
0
16
0
0
0
0
0
8
8
8
8
8
24
8
8
1
0
0
0
8
8
0
0
8
8
8
8
8
8
8
8
0
1
12
8
12
8
0
0
12
0
8
8
8
8
8
9
8
16
16
0
0
0
0
0
0
0
8
8
0
32
32
8
8
8
8
8
24
24
24
24
8
8
0
16
16
1
1
1
1
1
1
0
8
1
1
1
1
16
16
8
8
16
16
8
8
8
8
8
8
8
8
8
32
16
48
48
48
56
56
8
56
61
61
0
0
2
2
2
20
8
8
16
8
0
0
8
9
9
9
0
1
1
1
1
0
0
0
0
16
16
0
0
0
0
0
8
8
8
0
4
4
4
16
16
8
0
0
12
0
0
8
8
12
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
16
8
8
44
12
12
4
16
16
1
1
8
8
8
8
8
50
50
50
40
40
32
16
16
16
28
28
16
16
16
8
0
0
16
16
16
16
16
0
4
18
18
8
8
16
16
0
0
0
2
0
8
8
1
16
17
17
16
0
0
0
8
8
8
8
8
8
16
16
16
16
0
4
17
0
0
0
8
40
0
0
20
8
8
8
8
32
32
32
17
32
20
8
0
4
4
4
8
7
0
0
0
0
0
0
4
16
16
16
16
16
0
0
0
44
8
8
8
2
2
24
8
4
4
4
4
16
2
41
41
41
41
41
41
41
8
0
0
0
0
8
8
1
25
1
1
16
1
1
1
1
1
1
24
4
4
4
2
8
8
8
16
16
16
16
0
0
16
16
0
16
16
16
16
16
16
16
16
8
2
2
1
1
1
1
0
0
0
8
0
0
8
2
2
2
2
2
2
8
8
8
8
8
16
16
16
16
0
16
16
8
1
1
1
1
0
9
9
0
2
3
8
8
16
16
2
2
2
2
0
0
0
0
0
0
0
0
0
0
4
4
4
4
4
4
4
0
0
8
8
8
16
4
16
1
1
1
8
8
8
1
1
1
1
1
0
0
40
40
40
33
12
17
17
0
4
22
20
4
4
4
8
24
24
24
24
24
24
24
24
24
4
4
4
32
16
16
16
16
0
2
2
2
16
16
16
16
4
4
4
4
4
4
0
0
0
16
16
16
16
16
8
8
8
8
8
8
8
8
8
8
8
8
8
0
8
8
8
8
8
0
0
0
0
8
8
8
8
40
0
16
16
16
40
40
40
40
8
0
0
0
0
0
1
1
0
0
0
0
0
17
32
0
8
16
21
21
0
0
8
1
1
0
8
8
8
8
8
8
8
0
0
8
8
0
8
8
8
8
8
0
0
0
0
0
4
24
24
24
61
8
28
44
8
8
8
0
0
16
16
16
4
0
0
16
16
26
8
16
8
8
8
0
0
0
8
16
16
8
8
8
16
16
16
16
0
0
24
24
24
24
24
24
24
8
8
8
8
8
0
1
16
17
22
22
22
22
22
22
0
0
0
8
10
10
2
2
0
0
4
0
0
0
8
8
8
20
20
20
20
16
16
16
16
16
16
16
32
1
1
8
8
8
1
0
0
0
16
16
16
0
0
16
24
24
8
8
8
0
0
0
0
0
0
0
0
0
16
16
8
8
8
1
0
0
0
8
8
0
2
2
2
2
24
24
16
16
8
8
1
16
1
48
8
8
8
2
2
2
16
16
16
16
0
8
0
0
8
49
49
49
49
49
32
32
0
0
0
22
4
4
4
4
16
16
16
0
16
16
0
0
0
0
0
0
0
0
16
16
8
8
8
17
17
16
16
28
16
8
0
8
0
1
1
1
1
1
1
8
8
8
8
8
0
8
8
24
24
0
0
0
0
0
0
24
24
16
16
16
16
16
8
8
8
8
8
8
8
8
8
0
0
0
16
2
2
2
2
1
1
0
16
16
16
16
16
0
8
8
0
0
0
4
8
4
16
16
32
32
8
8
8
8
28
28
16
16
16
16
8
8
1
1
1
0
0
0
4
4
4
4
4
16
16
16
16
0
0
0
0
8
8
0
16
16
16
16
16
16
0
0
2
2
0
2
2
16
2
2
8
8
8
8
12
12
12
8
8
1
1
1
32
16
8
16
16
16
4
4
2
18
2
2
2
2
2
1
8
1
1
8
8
8
16
8
0
2
2
2
2
2
2
0
0
0
0
0
8
0
16
0
0
2
2
16
16
16
16
16
16
4
16
16
16
16
16
24
24
24
24
24
24
1
1
1
1
1
1
1
1
1
1
0
0
16
16
16
16
4
4
19
2
8
8
1
2
2
2
2
2
1
16
16
16
26
16
16
16
16
18
8
8
4
4
8
8
4
4
4
16
16
8
16
16
32
32
32
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
0
16
16
16
16
16
43
56
8
8
0
16
4
4
8
8
8
8
8
0
4
4
4
8
16
8
8
5
8
8
8
8
16
16
16
16
4
32
32
32
8
8
1
1
24
8
8
8
14
14
8
8
8
16
16
8
16
16
8
0
0
4
4
8
8
8
8
8
16
16
8
16
12
12
12
8
8
8
8
8
0
16
16
0
8
0
0
0
16
4
0
16
24
8
8
8
8
8
8
8
8
8
8
8
8
0
2
8
8
8
8
8
16
20
20
20
20
1
1
1
2
8
8
8
8
8
2
2
2
2
2
2
4
4
24
8
8
8
0
0
0
0
36
36
0
0
0
0
0
4
4
8
16
8
16
32
32
32
4
4
4
4
1
1
19
1
1
32
8
8
8
8
0
4
4
4
8
8
8
8
2
2
0
0
16
16
16
16
16
16
16
16
16
16
8
0
0
1
1
16
16
8
8
0
0
48
32
34
0
0
0
0
0
8
8
8
8
8
8
8
8
32
32
32
0
0
0
20
4
4
2
2
2
2
2
16
8
16
17
1
1
8
8
8
8
0
32
32
32
4
16
16
16
16
1
1
1
1
32
8
8
0
16
16
8
20
20
0
16
2
2
2
2
2
0
0
0
0
0
8
8
8
8
8
8
0
14
8
8
16
8
8
8
8
0
0
8
8
0
0
42
8
8
8
1
1
1
16
8
25
8
33
24
16
16
8
8
0
0
24
16
8
1
1
8
0
0
0
0
8
8
0
0
8
0
0
0
0
8
40
0
0
32
32
20
16
4
4
8
8
8
0
8
8
0
8
8
8
8
8
8
1
8
8
8
8
16
16
1
1
16
16
16
16
16
16
16
8
0
0
4
4
4
4
4
16
16
1
1
33
32
32
32
32
4
0
9
9
9
9
9
0
0
8
0
0
0
32
32
32
35
35
35
35
35
35
0
1
1
1
0
16
16
24
16
5
4
1
16
16
8
8
0
2
18
4
16
16
32
32
32
4
4
4
2
16
16
0
0
2
2
2
2
8
8
8
8
8
8
8
8
8
18
18
18
0
8
8
8
8
8
8
0
1
1
24
24
24
4
4
8
8
8
36
8
8
8
0
0
2
2
8
0
16
8
16
16
16
16
16
16
16
16
8
0
0
0
0
0
0
8
8
1
1
0
0
40
32
32
11
11
8
16
16
16
16
16
8
8
1
1
1
33
16
16
0
0
0
0
0
0
16
16
16
0
0
0
33
1
1
1
1
16
21
0
24
6
6
6
0
0
0
8
0
0
16
16
16
16
16
16
16
8
9
8
8
20
20
20
8
8
8
8
8
8
8
1
1
1
1
1
0
0
8
0
4
4
9
60
60
32
4
1
1
16
8
0
0
0
0
0
0
0
0
0
0
16
16
16
16
16
4
4
4
4
4
4
4
4
4
4
1
36
8
8
4
0
0
0
0
0
16
0
21
16
12
8
8
8
8
42
8
0
8
8
8
19
20
16
16
16
4
16
16
16
4
4
0
0
32
32
1
1
16
1
1
1
11
11
8
16
16
16
16
16
18
16
16
16
16
16
16
8
0
0
0
0
0
0
0
0
0
16
16
24
24
8
8
4
4
8
8
8
18
18
2
2
2
2
40
0
8
8
28
33
57
1
1
1
1
1
16
4
4
4
4
32
1
1
1
1
1
8
8
8
20
20
0
0
0
2
2
4
4
16
8
0
0
0
8
8
16
16
16
16
16
8
9
9
16
17
17
1
1
1
1
1
4
16
8
16
16
8
8
8
8
0
0
8
24
8
8
8
16
16
16
16
16
16
16
4
4
4
40
8
8
8
0
0
0
0
8
0
0
0
0
0
0
0
16
16
16
16
16
16
16
8
8
8
8
8
8
0
8
0
1
1
1
1
1
0
0
0
10
10
8
8
8
8
16
16
17
16
16
0
24
24
24
8
8
8
8
28
28
0
0
0
0
0
0
16
16
16
16
0
0
16
16
0
0
0
8
4
19
23
16
16
8
16
16
16
16
24
4
4
16
16
16
32
32
2
2
16
20
2
2
2
16
16
16
16
16
16
16
32
32
32
32
32
32
32
0
0
0
2
2
8
8
2
2
2
0
0
0
5
5
8
0
0
33
33
0
8
8
0
0
0
8
24
0
0
1
1
1
1
16
2
2
8
8
8
8
8
1
1
1
1
17
16
0
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
0
0
8
16
16
16
32
1
0
16
8
8
8
0
0
16
16
16
0
0
16
16
16
16
0
8
16
16
12
8
8
12
8
12
8
8
8
8
8
8
0
8
8
8
1
8
8
8
2
2
16
2
16
1
1
12
12
8
8
8
0
0
16
16
32
8
8
8
8
0
4
4
8
8
8
8
0
2
2
2
16
16
16
12
12
8
0
0
0
8
40
40
40
8
8
16
16
4
4
4
4
4
0
0
0
16
16
16
16
0
16
16
16
16
16
16
8
8
8
8
8
0
0
8
8
0
2
2
2
1
1
0
8
8
8
8
8
8
8
8
8
8
8
8
32
32
32
32
32
8
8
0
0
8
8
8
8
0
0
8
8
8
8
8
0
0
0
0
0
57
8
0
1
16
16
16
8
8
7
7
7
8
8
16
1
1
0
8
8
4
8
8
1
4
4
4
4
4
4
4
2
0
32
8
8
8
8
8
8
8
40
40
25
8
25
16
16
8
8
16
16
16
16
16
16
0
0
0
0
8
25
2
2
2
8
16
13
4
4
4
0
1
10
8
8
8
8
2
2
0
8
8
40
8
0
0
0
24
24
24
24
16
8
8
8
8
8
2
18
0
8
16
16
16
4
4
2
0
8
8
8
8
4
16
16
0
8
12
0
16
1
8
8
8
8
17
17
17
8
7
4
4
4
8
8
0
0
8
1
8
8
8
0
0
0
16
16
16
2
2
2
10
10
10
10
8
8
8
8
4
4
0
0
0
1
8
1
20
20
16
16
16
0
0
16
40
16
24
16
16
16
16
16
0
8
8
0
8
8
12
16
16
16
16
16
16
8
0
17
17
17
17
1
16
8
8
0
0
8
24
5
8
16
16
8
8
8
8
20
20
16
8
8
0
0
16
16
4
12
4
12
12
4
8
8
8
0
0
0
0
0
0
8
16
0
16
16
16
16
16
16
17
19
0
16
16
0
32
18
2
0
8
8
8
0
0
0
8
2
0
8
8
0
0
16
16
16
16
16
16
16
2
2
2
2
2
2
2
2
16
8
8
16
16
2
16
8
24
16
17
17
16
4
6
4
0
0
16
16
4
0
8
8
8
2
8
12
8
0
0
0
0
0
0
8
8
1
1
1
1
1
8
0
0
8
8
8
4
4
4
4
8
8
8
0
0
0
1
1
1
8
8
8
8
16
16
24
24
8
8
0
0
4
4
4
12
4
4
8
8
8
16
8
0
0
0
0
0
0
16
16
16
16
16
0
0
8
16
8
8
8
8
8
0
16
16
16
0
0
0
8
8
8
8
16
1
1
1
1
1
1
57
57
57
8
8
8
8
8
8
0
1
1
1
16
16
16
16
4
16
0
4
4
0
0
0
16
16
16
8
8
16
0
8
8
8
8
40
0
6
0
0
0
0
0
8
12
12
8
8
8
8
8
8
16
1
1
1
1
1
1
4
4
8
8
24
8
8
8
4
8
24
0
0
0
24
8
24
8
8
16
0
0
32
32
32
1
1
1
18
18
18
18
8
8
8
8
8
8
8
16
0
0
0
8
1
16
16
16
16
16
16
16
0
0
16
16
0
24
16
16
4
4
4
4
4
0
1
1
1
0
0
0
0
0
0
24
24
24
24
24
24
24
24
24
24
24
24
40
8
4
20
4
0
0
6
0
0
0
0
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
0
0
0
0
0
16
16
16
16
16
16
16
8
8
8
16
24
0
16
8
8
8
8
0
8
8
0
16
16
16
8
16
16
16
16
16
8
8
8
8
8
16
24
24
0
0
4
4
4
4
8
8
16
0
0
0
0
0
8
8
8
8
21
21
1
1
1
1
1
1
0
8
8
8
0
8
8
16
16
16
0
0
0
24
8
8
8
8
8
8
8
8
8
4
4
4
0
9
8
8
8
0
2
2
24
8
8
1
19
8
8
8
8
16
16
8
8
8
16
8
8
0
0
16
16
2
16
16
0
0
0
0
0
8
8
8
0
16
16
8
8
0
0
0
0
16
8
16
16
0
0
16
16
8
8
8
8
8
8
8
8
8
8
20
8
8
8
8
8
16
16
0
0
0
0
16
8
8
8
8
0
0
16
16
16
8
8
8
8
16
16
16
16
16
16
0
16
16
16
16
16
24
16
2
2
0
0
40
8
8
16
32
16
16
16
24
24
0
28
8
8
33
33
33
33
32
2
0
0
8
2
24
8
21
24
4
28
20
20
4
60
48
9
9
9
9
9
16
26
26
26
4
4
32
4
4
8
8
8
16
16
16
16
4
8
0
0
0
0
16
16
2
2
2
2
0
0
8
8
8
8
8
4
16
16
16
16
16
16
40
40
8
8
16
8
0
8
8
1
1
8
1
1
18
18
16
26
8
8
0
8
8
1
8
8
1
1
1
21
21
21
21
8
28
28
16
0
0
2
2
8
8
8
8
8
8
0
0
16
8
28
8
8
8
0
8
10
10
24
8
8
8
8
8
8
8
16
16
24
24
24
24
24
24
24
24
24
24
24
0
8
8
8
8
8
16
8
8
8
8
8
8
8
8
8
8
8
8
8
4
4
16
16
16
16
0
0
8
0
0
8
24
8
8
16
8
16
8
8
16
16
21
16
0
0
0
0
16
16
16
8
8
8
8
8
4
8
0
16
16
0
16
16
1
1
8
8
8
8
8
8
8
2
2
2
2
0
0
0
0
1
1
0
0
8
8
8
8
32
32
32
32
0
0
0
0
1
1
1
0
0
0
4
6
6
6
6
2
2
2
2
1
1
1
0
0
8
8
8
0
0
2
2
2
2
0
0
0
8
8
8
8
8
8
16
8
8
8
33
33
33
33
33
9
9
4
4
4
4
16
16
16
16
16
8
8
8
56
2
2
2
2
2
2
4
4
4
0
0
0
0
0
16
16
16
16
16
0
1
1
22
22
4
8
8
19
2
22
22
22
22
22
0
0
0
0
12
32
32
32
32
32
16
16
6
6
2
2
2
2
1
1
1
1
0
2
2
2
2
0
0
0
0
8
4
16
16
8
8
8
8
8
2
4
8
16
16
16
16
16
16
0
0
0
0
0
4
4
4
4
4
4
4
4
4
8
8
24
16
1
16
1
1
8
8
8
8
8
8
24
8
8
8
8
8
8
8
8
0
0
4
5
5
0
8
8
8
0
0
4
4
4
4
8
16
16
16
16
16
16
2
16
0
8
1
1
1
0
16
8
8
8
8
8
8
8
8
8
8
16
16
16
16
16
0
0
2
2
2
8
8
16
16
8
8
12
8
0
1
1
8
8
8
8
8
8
2
8
2
8
8
0
0
0
16
8
8
8
8
8
8
8
8
8
12
8
8
8
8
16
16
16
16
16
16
16
0
0
0
16
16
16
16
16
8
8
0
8
16
16
8
6
8
0
3
4
1
1
1
8
8
8
8
8
8
8
8
8
8
8
8
8
8
2
4
4
4
8
8
8
8
8
0
16
16
16
16
16
16
22
16
16
1
24
24
24
24
0
0
0
0
0
24
24
8
16
16
16
12
4
8
0
0
0
1
1
1
0
0
0
0
0
0
0
24
24
8
16
8
8
8
8
0
0
8
8
8
0
0
0
18
0
0
0
0
0
0
16
1
17
4
4
0
2
2
8
16
16
16
0
2
16
8
1
0
2
2
0
8
18
16
16
16
0
0
28
8
16
16
16
16
0
24
24
24
24
17
17
8
8
8
8
3
3
3
3
16
0
0
16
16
1
1
1
1
0
8
8
8
16
4
4
4
4
4
10
10
1
1
0
0
8
16
16
16
0
4
4
4
4
8
8
8
16
16
8
8
16
12
12
12
8
8
0
0
16
16
16
4
8
8
8
16
16
16
16
0
0
0
0
16
16
4
0
0
32
32
8
0
20
16
8
20
16
16
16
16
0
8
8
8
8
8
8
8
0
0
8
16
16
16
16
4
4
4
4
4
4
4
4
4
16
16
16
4
8
1
16
16
16
16
16
1
1
0
16
16
1
1
1
2
2
2
2
0
0
0
0
1
3
32
32
40
40
8
8
1
1
1
1
1
18
2
8
8
8
32
1
9
9
9
9
8
8
0
0
0
1
1
1
1
1
49
49
49
49
8
8
9
8
32
32
36
8
8
0
0
0
0
16
2
2
2
8
8
8
0
0
0
0
32
32
16
32
32
32
32
8
8
8
8
8
0
0
1
1
10
10
10
16
10
10
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
0
8
16
8
8
8
8
15
15
8
8
6
6
0
6
6
6
16
16
16
16
16
16
16
16
16
0
0
0
8
8
8
8
8
8
32
32
1
1
1
16
16
16
8
8
8
30
0
17
1
1
1
1
1
25
18
18
18
0
0
24
24
24
24
24
24
8
8
16
16
16
0
0
9
0
16
8
8
8
8
17
17
16
16
16
16
1
1
0
0
0
0
0
0
16
8
8
8
8
8
8
8
0
1
1
1
1
8
8
14
8
32
32
36
8
24
16
16
16
0
0
0
8
8
0
0
3
3
16
16
24
16
24
0
2
2
2
2
8
8
8
8
8
1
1
5
1
16
2
16
18
8
16
16
0
0
0
4
0
0
8
8
8
8
0
0
0
0
0
0
0
0
16
16
16
16
16
16
8
8
8
8
8
8
0
0
0
0
0
0
16
16
16
16
16
16
1
1
8
8
8
8
8
8
8
8
8
8
8
8
8
16
17
8
8
8
8
41
0
0
0
40
40
8
8
8
8
8
8
16
20
8
8
8
16
8
8
4
8
17
16
16
16
8
16
24
8
9
8
8
8
8
8
8
8
4
24
4
4
4
22
16
0
9
9
32
32
32
32
8
8
16
12
1
16
16
0
0
0
0
0
0
0
30
16
16
16
11
9
8
8
8
0
1
1
1
1
8
8
8
0
0
0
8
8
8
16
16
16
0
0
0
0
8
8
8
8
8
8
8
8
4
4
0
16
16
16
1
4
4
16
4
8
8
8
8
8
8
8
1
1
1
1
1
1
1
1
16
16
16
16
0
4
4
4
4
4
4
16
16
16
16
16
16
4
8
8
8
8
8
8
8
8
8
8
8
16
0
0
16
0
16
8
16
16
0
0
16
16
16
8
1
1
1
1
8
8
8
24
8
4
4
1
1
16
16
16
16
16
16
0
8
44
44
16
16
16
16
16
16
16
16
16
8
8
0
8
8
16
16
16
16
16
4
16
16
0
1
1
1
1
1
8
8
8
16
16
16
16
16
0
1
1
1
1
8
16
0
16
16
16
16
16
16
18
16
16
16
16
8
24
24
24
24
16
16
16
16
16
16
16
16
0
0
32
32
32
32
32
32
32
0
16
16
16
16
16
16
16
0
19
2
2
3
8
8
8
16
8
8
16
1
1
1
32
8
0
0
8
8
8
8
4
2
17
20
16
8
8
8
8
16
8
16
16
24
16
16
16
16
16
8
8
8
40
40
40
0
8
8
8
8
8
0
9
9
9
8
8
8
8
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
1
0
0
0
0
8
8
16
0
16
16
32
16
4
20
20
8
8
8
8
8
0
8
8
8
8
8
8
32
32
32
8
8
8
16
16
16
0
0
0
0
8
8
8
8
12
10
4
4
4
4
4
4
16
8
0
0
16
16
0
16
16
16
4
8
24
8
16
0
0
0
0
8
8
8
8
8
8
8
8
0
32
8
8
8
8
8
8
8
0
16
16
16
16
16
16
20
0
2
0
8
8
16
16
16
16
0
8
8
8
8
8
8
8
8
8
4
4
4
4
4
4
4
24
8
0
4
0
16
16
0
0
0
0
0
0
24
24
0
20
20
20
20
8
8
8
20
16
20
16
16
4
16
16
0
0
0
0
8
8
8
0
1
16
16
16
16
4
4
57
32
16
8
8
8
8
8
0
16
2
18
18
16
16
0
8
16
0
0
4
4
4
8
16
17
16
16
8
0
8
8
8
1
1
1
4
4
0
16
8
8
8
8
0
0
1
1
16
16
8
8
8
16
24
8
8
16
16
16
0
16
16
16
16
16
16
16
17
1
17
1
0
8
8
2
2
18
18
18
2
16
16
16
16
0
0
0
0
8
8
8
8
8
17
8
8
0
4
4
4
4
4
4
4
4
4
4
4
4
4
4
8
0
0
0
8
32
32
32
32
32
8
26
16
8
8
8
8
8
8
8
4
8
8
8
0
0
0
0
0
8
16
16
0
0
16
16
16
2
2
2
2
2
0
16
16
16
24
16
16
16
40
8
40
40
40
16
16
16
0
0
16
0
12
12
8
8
0
24
24
8
25
8
8
8
9
9
18
16
16
8
8
8
0
0
0
48
48
16
16
16
1
9
8
16
16
16
16
16
16
8
16
8
8
0
0
0
0
0
0
0
22
0
2
2
8
8
8
5
4
1
5
1
1
1
1
1
1
0
1
1
1
1
1
0
8
8
8
4
4
13
13
8
1
1
17
16
0
8
16
0
2
1
24
24
24
8
8
0
0
0
20
20
10
8
8
0
9
25
25
25
8
8
8
8
8
8
8
16
16
16
16
16
8
8
8
1
16
16
16
16
16
16
16
0
24
8
16
8
24
8
8
8
8
12
8
8
8
0
0
0
16
16
16
0
16
16
16
3
4
4
16
16
16
16
0
16
1
17
17
0
0
16
16
0
16
16
16
8
8
0
16
16
0
0
32
0
8
8
0
8
0
0
0
8
8
16
16
0
16
16
0
16
16
8
0
16
16
16
16
16
16
16
0
0
32
8
8
16
0
0
18
18
18
24
8
8
8
0
0
32
16
16
1
1
8
8
8
8
8
4
6
16
22
0
24
0
16
0
0
4
8
8
12
12
12
1
8
8
8
0
16
16
16
16
16
16
16
16
4
4
4
4
24
1
0
0
20
20
8
0
0
0
0
0
8
8
8
8
8
1
16
16
8
8
8
4
4
0
0
0
0
0
16
16
16
24
1
8
1
0
0
0
8
8
8
8
8
8
8
0
4
16
16
8
0
0
8
9
1
1
1
1
1
1
1
8
2
17
17
17
0
0
2
2
2
2
0
1
2
1
1
8
8
8
1
2
2
2
41
41
0
0
12
12
12
12
12
8
0
0
0
0
0
16
16
16
16
16
0
40
16
8
8
8
8
0
0
16
16
16
16
16
16
6
2
2
2
2
38
38
38
0
18
16
16
16
2
24
8
8
8
8
4
0
16
16
16
16
16
8
16
16
16
0
4
8
8
0
1
1
0
0
0
0
0
8
8
8
8
0
8
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
4
4
4
4
0
0
0
0
0
0
0
0
16
16
32
32
32
8
8
8
8
8
8
0
0
0
0
0
0
16
4
4
4
4
4
4
0
0
1
1
16
17
0
16
16
16
0
0
0
0
0
16
16
16
0
16
16
16
16
16
16
4
4
2
8
0
8
8
8
8
8
8
8
32
16
8
0
0
16
16
16
8
8
0
4
4
4
8
4
4
4
1
1
1
0
0
0
0
0
12
4
4
8
8
0
0
16
16
16
16
0
0
16
16
16
16
2
0
24
24
2
2
0
0
0
1
1
1
1
1
1
17
17
17
17
0
4
8
8
8
16
16
16
16
16
16
16
8
40
32
32
16
16
16
16
8
8
8
8
8
8
8
8
8
8
8
8
8
8
28
0
0
0
3
2
2
2
0
4
2
2
2
2
2
0
12
8
8
8
2
2
2
2
2
0
0
34
16
1
1
1
1
1
1
8
1
1
24
4
0
0
0
8
28
4
2
2
2
2
1
1
1
8
8
2
2
3
2
2
0
0
8
8
8
8
24
0
0
8
16
16
16
0
0
0
0
20
16
6
16
0
8
8
16
16
4
4
4
16
16
16
0
0
0
0
8
8
0
0
16
16
13
13
8
8
1
1
8
8
8
8
8
8
8
4
4
4
8
8
8
8
8
8
20
20
20
8
40
40
40
24
24
24
0
8
8
8
8
1
1
8
1
8
8
8
4
8
8
8
16
0
0
0
4
16
24
24
24
16
16
16
24
8
4
4
8
9
9
9
9
9
8
4
4
4
9
8
4
0
0
16
16
16
16
0
8
16
16
16
16
16
16
16
8
8
2
8
3
3
3
0
16
16
16
16
2
2
8
8
8
16
16
16
16
0
0
0
0
16
16
26
1
24
24
2
16
16
16
5
5
5
10
8
8
0
0
0
0
0
4
4
16
16
8
8
8
8
8
0
0
1
1
1
32
32
32
0
0
0
9
8
16
16
8
2
2
2
2
2
2
0
0
0
0
24
24
24
24
0
0
0
12
0
0
0
8
8
0
8
1
8
1
1
1
0
32
32
32
32
16
16
16
16
16
18
18
0
0
0
32
32
32
0
8
0
4
4
1
1
0
0
0
0
8
8
8
8
8
8
14
14
14
14
0
0
4
4
36
8
8
8
8
8
24
8
8
2
0
4
4
4
4
4
4
16
16
16
16
16
8
8
8
1
1
1
1
1
1
1
0
8
8
0
0
0
0
8
8
8
8
0
8
18
0
1
1
16
16
16
16
16
16
16
2
8
0
0
8
8
8
8
8
8
0
8
0
0
16
0
0
0
8
8
16
2
16
8
8
8
25
24
16
12
8
8
8
8
16
16
32
32
32
32
0
32
8
24
0
0
8
8
4
4
4
4
13
32
8
24
0
16
16
0
0
0
0
0
16
16
16
1
1
1
8
35
35
35
35
0
2
2
16
16
16
1
1
0
48
48
1
1
1
1
1
0
1
1
1
16
16
8
0
4
4
4
4
4
4
4
4
8
8
0
32
32
16
8
8
8
8
10
10
32
32
0
0
24
8
8
8
0
8
8
8
8
4
16
8
8
0
0
2
16
16
16
16
16
16
16
40
0
32
8
8
8
8
8
8
8
0
1
1
8
1
1
1
0
20
0
0
2
2
4
4
16
4
4
1
4
0
0
0
8
8
8
8
4
8
6
6
2
2
0
0
0
4
6
4
16
16
1
1
17
17
1
1
1
16
16
16
1
1
21
1
1
0
9
8
24
2
2
2
1
1
16
18
0
16
16
16
20
4
16
16
8
2
2
8
8
8
8
4
4
4
4
0
0
1
1
3
3
3
18
2
2
2
16
16
8
0
0
0
8
8
16
16
16
16
16
16
16
4
16
4
8
8
8
8
2
2
0
8
8
0
8
4
4
0
0
0
16
8
8
8
8
8
16
16
16
0
8
8
8
16
16
16
16
16
0
0
0
8
8
8
8
6
2
2
0
21
20
16
0
0
0
0
0
0
0
20
12
1
8
8
8
8
8
0
8
8
0
0
0
0
8
8
8
8
8
8
8
8
8
0
0
32
32
0
0
0
8
8
24
24
24
4
2
4
24
24
8
12
12
4
4
4
0
0
0
0
8
8
8
0
0
0
8
8
8
8
8
8
0
1
0
1
1
0
0
16
16
16
16
16
0
0
0
0
0
0
40
8
4
8
4
4
32
32
16
16
16
16
16
24
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
24
24
24
16
25
25
17
49
17
17
17
8
8
8
8
8
8
8
0
16
18
2
2
2
2
16
3
1
4
52
16
16
16
16
16
2
26
8
8
8
0
4
4
1
1
8
1
1
8
32
32
32
32
32
32
32
32
32
32
32
0
0
8
12
4
4
4
4
1
0
8
8
0
16
16
8
10
2
8
8
8
8
8
8
4
8
1
1
1
1
24
4
4
8
32
32
32
32
32
32
0
1
1
0
0
0
0
8
8
8
8
8
8
8
32
32
32
8
4
4
4
4
4
8
8
8
8
16
1
8
0
8
8
18
18
0
1
1
8
8
24
8
8
32
32
32
2
2
2
16
16
16
16
8
8
8
8
8
8
8
4
4
4
4
4
8
8
8
0
8
16
16
16
16
10
10
8
8
9
9
9
16
0
0
8
4
4
4
4
4
8
8
8
8
8
16
16
2
2
16
19
19
19
0
0
0
8
8
8
8
33
33
32
32
32
32
0
0
8
8
8
8
8
2
2
2
2
2
8
0
0
0
0
0
0
16
16
8
8
8
58
8
16
16
0
24
24
24
24
8
16
16
8
1
1
1
1
14
30
16
16
16
0
8
8
0
0
6
6
4
4
4
8
0
0
16
2
2
0
0
20
8
8
0
0
2
2
4
4
0
16
29
4
4
12
12
12
12
12
12
12
12
0
0
51
33
4
12
8
8
8
8
0
0
16
16
32
32
0
0
8
8
16
8
8
24
8
8
0
0
1
1
1
1
8
0
0
2
2
2
2
2
2
0
0
0
0
0
4
8
45
0
0
2
2
2
2
2
2
8
24
8
16
16
16
4
0
16
8
8
8
8
42
42
42
8
8
8
8
8
0
0
0
25
25
8
8
1
18
18
0
0
0
0
0
0
24
16
16
16
16
8
32
32
40
40
32
32
32
32
32
32
18
18
16
18
0
8
16
16
16
16
0
0
4
4
4
4
4
4
12
12
4
4
4
4
16
8
16
24
16
16
16
16
16
0
56
0
0
32
8
8
8
8
0
8
8
8
8
2
22
22
22
4
4
4
8
8
8
8
8
8
0
4
4
4
8
0
8
8
8
8
4
4
20
16
16
0
0
16
16
16
16
4
16
16
16
0
0
0
0
0
0
2
2
2
8
8
8
4
8
8
8
0
8
8
8
0
0
0
0
0
0
0
0
32
36
32
32
32
32
32
0
0
1
1
24
8
8
16
32
8
8
4
4
4
2
2
2
2
2
0
16
16
16
16
16
16
16
16
16
0
0
9
9
9
9
8
0
0
24
0
32
32
32
32
8
8
16
16
16
16
16
8
8
0
0
0
0
0
16
16
16
16
20
16
0
4
1
5
5
0
8
16
16
0
0
0
8
8
8
8
24
1
8
8
16
16
0
9
9
0
0
16
16
16
16
16
16
16
16
16
16
0
4
20
20
2
2
2
2
2
1
0
0
0
0
0
0
0
0
41
16
16
16
16
1
1
8
1
1
16
16
16
4
4
4
4
4
8
16
16
16
16
0
16
16
16
16
8
16
8
1
4
16
16
16
16
16
16
16
16
24
0
0
0
8
8
8
8
0
0
0
0
8
8
24
0
1
4
1
1
1
1
1
1
1
1
1
1
1
1
16
1
1
1
1
16
16
8
0
0
8
8
8
8
8
16
16
2
2
16
24
16
1
17
1
0
0
16
16
16
8
8
8
8
32
32
36
16
16
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
0
8
0
0
0
0
16
16
16
16
16
16
16
16
16
8
8
8
0
0
0
16
16
18
16
8
8
32
32
32
8
8
8
0
0
0
0
16
16
16
0
16
16
16
8
4
4
0
0
0
0
0
8
8
8
8
8
8
4
16
0
0
8
8
10
0
28
28
24
24
24
8
8
8
8
8
8
8
2
2
8
12
0
0
8
8
2
0
0
0
4
4
4
24
0
0
57
57
8
8
8
8
12
12
1
1
8
8
8
24
8
8
8
4
4
16
8
24
24
24
24
8
8
16
16
16
8
8
0
1
1
1
1
16
16
16
8
2
2
2
2
2
4
4
4
4
22
17
17
17
20
4
4
4
4
16
16
32
4
16
36
18
54
54
8
8
8
1
5
24
24
24
24
24
24
0
2
8
8
8
1
1
1
1
1
8
8
8
8
16
16
8
8
8
8
8
0
0
0
0
1
1
1
16
16
16
8
0
8
8
10
8
8
24
24
16
2
2
4
4
0
2
2
2
0
0
8
8
24
24
24
24
8
0
16
16
16
16
16
16
2
0
24
16
1
1
1
0
16
8
8
16
16
16
8
8
16
8
8
8
8
0
0
0
0
0
16
16
16
16
8
16
16
16
2
24
28
8
8
16
16
4
4
4
0
19
19
19
1
1
0
2
2
2
0
0
0
2
0
16
16
0
0
0
0
8
24
4
6
4
8
8
8
16
16
24
32
32
32
32
20
20
20
1
1
1
8
8
1
0
0
8
16
16
16
16
16
8
24
24
24
24
24
24
0
50
50
0
8
0
8
12
8
8
8
16
8
8
8
8
4
33
16
16
16
16
16
16
16
16
16
16
16
8
8
32
32
32
32
32
0
0
8
8
0
1
0
8
8
8
8
1
1
1
16
16
16
8
8
0
16
41
8
8
4
4
4
0
8
8
8
8
8
0
8
4
4
4
16
16
0
4
4
4
4
4
4
8
0
8
8
8
8
8
8
8
8
2
2
2
2
0
0
0
0
4
4
4
4
0
8
8
8
8
0
0
8
16
24
4
24
24
9
9
9
8
8
8
8
8
16
16
0
0
8
8
8
8
8
8
8
2
2
2
2
2
8
32
32
16
2
17
1
1
4
0
8
1
1
0
16
16
16
1
4
16
2
2
0
8
8
8
16
0
0
0
0
2
2
2
16
0
0
20
20
20
20
0
0
0
8
0
0
16
0
0
0
16
1
17
17
0
0
8
8
1
1
0
0
0
0
8
8
16
16
16
2
10
2
2
2
8
8
0
1
8
16
16
1
16
16
25
16
16
24
0
0
4
0
0
0
0
0
50
50
8
1
1
1
24
16
16
0
32
0
0
0
0
0
4
4
4
1
1
1
1
1
1
1
1
0
0
0
16
2
16
16
8
8
8
8
2
2
2
2
8
0
0
0
8
8
16
20
1
1
16
16
1
1
8
8
8
8
8
8
22
16
1
8
8
8
16
16
16
16
0
0
0
0
4
8
8
8
0
0
0
8
0
28
28
8
8
8
8
0
0
30
8
8
16
16
16
16
16
0
0
8
8
8
8
25
25
8
8
16
2
10
33
33
32
32
32
8
8
0
0
0
16
16
16
16
16
0
0
28
28
28
28
16
16
0
0
24
24
24
24
8
8
8
0
0
4
0
32
32
32
32
8
8
8
24
8
8
0
1
1
1
1
16
16
16
2
2
8
8
8
0
16
16
8
33
33
33
32
33
0
0
8
4
4
16
4
0
0
0
0
0
4
1
16
16
1
1
1
16
16
16
16
16
1
1
1
1
1
0
0
8
8
0
16
0
32
8
8
8
8
1
1
4
1
0
16
16
16
0
24
32
0
0
0
0
8
8
8
0
8
8
8
8
1
1
1
8
8
8
1
1
1
1
0
0
16
16
16
16
8
8
8
8
8
8
16
16
0
0
0
1
16
17
17
0
0
16
16
16
0
16
8
8
2
2
2
2
2
2
2
16
16
32
32
8
8
0
0
41
41
41
0
0
12
12
0
10
10
8
8
1
1
1
2
2
10
21
21
8
8
8
0
24
0
0
1
1
0
0
0
16
16
24
24
24
24
8
8
8
8
8
8
8
16
8
0
0
32
32
32
8
8
8
8
8
8
8
8
0
0
8
8
8
0
0
0
0
0
0
8
8
32
40
32
16
16
8
8
16
17
16
16
0
16
16
16
16
0
8
8
8
8
0
0
0
8
8
8
0
0
8
8
8
8
0
26
4
8
8
8
16
8
0
0
7
8
24
24
24
24
1
1
1
1
8
32
32
8
1
1
1
1
1
1
1
1
1
1
0
0
0
0
8
8
32
1
1
32
36
32
32
32
8
8
2
2
2
1
16
16
16
0
0
4
20
16
1
0
0
0
0
0
41
41
1
1
1
1
1
1
1
41
8
8
4
0
0
2
16
16
16
16
1
8
8
32
41
24
8
0
8
8
16
0
0
0
0
24
24
2
2
2
2
2
2
0
0
4
16
16
16
8
1
8
16
16
16
1
1
0
0
0
8
16
16
8
8
0
0
0
0
16
16
8
24
16
8
8
8
0
9
9
9
0
8
16
16
16
16
8
8
8
8
17
17
17
0
0
0
0
2
4
1
1
1
1
8
16
8
16
16
16
0
20
16
16
16
8
21
1
1
1
1
16
16
1
1
8
8
8
0
1
1
1
0
0
0
8
8
16
16
16
16
8
0
8
8
0
0
28
8
8
8
24
24
8
8
8
8
1
1
0
8
8
8
8
2
16
18
16
16
16
16
16
16
16
16
0
16
16
16
16
1
5
0
8
12
8
28
20
20
8
16
16
16
16
0
8
2
0
0
16
16
16
0
0
0
4
16
20
0
0
4
1
1
1
1
0
0
4
4
0
4
8
8
10
2
2
48
32
32
32
32
4
4
0
16
56
56
16
8
0
8
8
8
8
1
28
8
8
8
48
48
48
48
0
0
16
16
16
40
40
40
40
4
4
8
4
4
4
0
0
16
16
16
8
8
0
8
0
0
0
0
0
0
0
0
0
8
8
8
2
2
2
2
16
8
4
4
8
8
40
8
8
16
16
20
8
8
8
8
0
0
0
8
8
8
8
8
8
0
8
8
8
1
8
32
32
32
32
32
12
12
4
4
4
8
8
8
8
8
0
0
0
8
0
8
16
16
16
16
16
1
1
16
40
28
0
0
22
22
22
22
22
16
16
16
16
16
0
0
16
8
16
16
16
40
40
40
24
24
0
0
0
8
8
8
8
45
41
8
8
8
8
0
16
4
20
20
2
10
10
16
0
0
47
47
47
0
0
12
0
0
0
0
0
0
9
8
8
10
26
2
8
10
0
0
0
8
16
0
8
8
16
16
2
2
0
8
16
16
16
8
8
8
8
8
0
0
2
8
8
10
8
8
8
8
0
0
16
16
16
16
16
0
0
8
16
8
0
2
2
8
8
16
16
2
8
8
8
8
8
8
8
8
8
8
0
0
0
8
8
8
8
0
0
4
0
8
4
4
8
8
8
8
24
24
32
8
8
8
2
2
4
8
8
8
8
8
8
8
16
16
16
16
16
16
16
16
16
4
4
4
48
48
48
48
48
48
48
16
2
2
2
2
2
2
2
8
8
8
8
8
8
8
8
0
9
9
1
9
9
9
0
0
8
8
8
10
8
8
8
8
8
8
8
9
9
9
9
16
4
4
4
4
16
16
16
16
16
16
1
8
8
8
8
8
0
8
0
0
8
8
8
8
8
8
16
8
8
16
16
16
16
16
48
16
16
16
16
16
16
0
0
0
16
0
0
0
0
0
0
0
8
0
1
1
8
8
4
0
0
8
8
4
4
0
2
2
2
2
2
2
2
2
4
4
4
8
8
8
8
24
24
24
24
24
1
1
1
0
8
8
8
8
16
16
16
16
8
32
8
0
0
0
8
8
8
16
16
16
16
16
16
24
8
8
8
8
9
8
8
16
0
0
0
0
2
2
8
8
8
16
16
32
16
16
16
8
16
16
16
24
16
0
25
25
25
16
1
1
1
1
8
42
8
42
8
8
8
8
16
16
16
0
0
0
4
4
4
0
0
0
8
24
16
16
32
4
0
0
32
32
32
16
16
16
16
0
0
0
0
0
8
8
8
8
8
16
16
1
0
0
0
0
0
0
12
8
8
8
8
8
0
8
8
32
8
8
0
8
0
16
16
4
0
8
8
8
0
0
0
16
16
16
16
4
8
24
24
24
24
24
0
8
8
8
0
0
0
0
17
17
17
17
8
8
8
17
17
0
0
16
16
8
16
1
1
1
1
32
32
16
16
16
0
4
8
0
16
16
16
16
16
8
8
8
12
16
8
40
40
40
40
8
8
8
24
32
8
8
8
0
0
0
0
0
8
8
0
0
0
24
16
16
16
40
40
25
25
25
25
8
8
8
16
16
16
20
20
20
1
9
16
16
16
54
16
8
4
4
0
0
0
8
16
16
16
16
32
16
8
0
16
16
16
16
16
16
0
8
8
8
0
8
8
16
8
8
4
12
4
2
16
16
8
8
8
8
8
16
16
16
2
24
0
8
8
24
24
16
16
16
40
32
0
0
0
0
1
6
20
32
32
16
8
8
8
8
8
0
0
4
4
4
1
9
2
8
8
8
16
16
0
0
0
0
8
4
4
0
1
8
2
16
16
0
0
18
18
16
16
21
21
21
8
8
16
16
16
16
16
16
16
16
6
2
4
20
4
4
8
8
8
8
8
8
8
8
0
8
16
16
16
0
2
2
2
2
2
16
18
18
0
0
8
8
8
0
0
8
0
8
8
8
8
8
8
16
1
16
16
0
16
16
2
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
1
4
4
8
8
8
8
24
24
16
16
8
8
16
16
16
16
56
0
12
0
0
1
16
8
8
0
24
24
0
0
0
0
0
16
16
16
0
8
8
8
32
8
16
8
8
8
0
0
0
8
8
28
24
4
28
2
2
2
2
2
8
8
8
8
8
4
0
0
16
16
0
25
25
16
16
2
16
16
16
16
16
41
41
32
4
16
4
0
0
0
8
8
8
24
8
8
8
8
8
8
8
8
0
0
0
0
0
0
0
16
16
8
26
2
20
20
20
8
42
42
32
8
8
0
0
16
16
16
16
2
16
16
16
16
16
16
16
8
8
0
0
0
16
8
8
24
4
12
4
4
4
4
4
4
16
0
0
0
0
8
8
2
2
2
0
0
0
32
32
6
6
6
6
34
34
34
0
0
0
0
0
16
16
3
3
8
8
8
8
8
16
8
16
16
16
18
48
0
0
0
16
16
4
8
0
0
0
8
8
8
8
8
4
4
4
4
4
4
4
8
8
8
49
4
4
8
4
8
8
16
8
2
2
2
4
4
16
16
4
8
16
16
16
16
16
16
16
8
16
16
16
8
6
1
1
8
8
8
8
24
24
24
16
0
8
8
8
8
0
16
16
8
0
8
8
8
8
8
2
32
40
32
32
0
8
8
8
8
8
8
8
8
8
8
8
8
16
16
16
16
16
16
16
4
16
16
16
16
16
10
10
0
0
4
4
4
4
0
24
24
0
8
0
0
0
24
16
8
24
18
18
18
18
0
0
8
8
8
16
16
16
16
16
8
8
24
24
0
32
8
8
0
0
0
4
4
4
4
16
0
0
0
0
8
8
8
8
8
24
8
8
10
2
16
16
16
16
16
0
16
18
4
16
16
16
16
8
8
8
8
8
8
0
16
0
0
8
8
8
8
8
16
8
8
8
24
8
24
21
21
16
1
1
1
16
2
16
16
16
16
2
2
2
2
2
2
4
4
4
0
0
0
8
8
56
16
16
0
0
0
0
0
16
0
0
16
16
16
56
26
26
16
16
16
16
8
8
16
16
16
8
8
8
8
8
8
4
4
4
8
8
8
32
32
2
0
16
16
4
1
16
16
16
8
1
1
24
24
24
0
8
8
8
16
16
16
16
16
16
8
0
8
16
16
8
16
0
1
1
1
1
4
4
4
4
25
1
1
2
2
2
4
4
4
0
1
1
1
0
0
0
16
16
8
8
24
8
8
8
8
8
0
0
0
0
8
8
8
8
8
8
4
4
8
1
1
9
1
1
1
2
0
0
0
4
0
0
0
0
8
8
8
8
8
8
8
8
8
4
12
8
8
8
16
16
16
16
16
16
16
16
16
8
8
8
8
8
8
16
18
18
16
0
0
0
1
1
1
1
1
1
1
1
1
16
4
4
4
4
32
32
32
32
32
24
24
24
24
24
8
8
8
8
8
8
8
8
8
16
16
16
16
16
0
0
8
8
8
8
8
8
0
1
1
1
16
0
8
8
8
8
8
8
8
8
8
8
0
8
16
16
16
16
8
32
40
13
13
13
13
13
13
8
8
8
4
0
8
8
8
8
8
8
8
8
8
2
0
0
0
0
8
16
16
16
8
8
8
8
16
16
16
16
16
16
16
0
8
8
8
8
8
1
1
1
8
8
8
8
4
4
4
0
16
16
16
16
16
18
16
2
8
8
0
0
0
16
8
8
8
19
16
16
16
16
8
8
8
8
8
8
8
8
24
16
8
16
0
8
24
8
24
24
1
1
1
1
8
8
4
8
0
8
0
0
0
9
9
16
0
0
12
12
0
16
4
1
1
1
1
0
16
16
16
16
16
16
0
0
0
17
17
6
8
8
8
8
8
8
0
2
2
2
0
0
0
16
16
16
8
8
8
8
0
41
41
0
4
4
4
4
0
0
0
0
0
8
9
16
16
8
8
8
8
8
8
0
8
8
8
16
16
8
16
0
1
17
1
0
0
32
30
6
6
1
8
8
16
1
9
0
2
2
0
0
0
0
0
0
0
0
0
0
16
8
8
8
8
2
2
16
18
18
18
1
8
1
1
1
1
1
1
1
1
1
1
1
1
16
16
16
16
8
8
8
16
16
0
0
0
0
0
0
16
16
16
8
8
28
28
28
28
0
48
4
1
8
13
13
13
16
19
8
8
8
1
1
8
19
19
8
8
8
0
4
4
4
4
4
16
24
8
8
8
8
8
1
8
8
4
4
4
8
16
16
16
16
16
16
16
0
0
57
20
16
35
35
35
0
4
4
16
0
20
20
20
16
16
16
8
8
8
8
8
16
0
0
0
4
4
4
4
16
16
16
0
16
12
12
2
2
8
8
8
8
8
8
8
8
8
8
16
16
16
16
0
8
8
8
0
0
0
8
8
8
16
16
8
8
8
8
9
9
9
8
8
0
16
16
8
8
8
8
8
8
8
8
8
8
8
1
8
8
16
16
16
16
16
16
25
25
25
0
0
0
0
16
2
4
8
0
24
24
8
8
16
16
16
16
16
16
16
16
1
33
1
1
1
1
32
16
16
0
9
8
8
8
8
8
8
8
8
8
8
8
8
0
16
16
8
8
16
12
0
8
16
16
0
16
16
16
16
0
0
17
17
0
0
0
0
0
0
0
0
24
24
1
1
1
1
0
0
0
4
16
16
16
0
0
0
8
8
16
16
8
8
16
1
1
49
16
16
16
16
16
16
16
16
16
0
0
0
5
5
5
0
0
0
0
0
0
0
0
0
16
16
16
8
36
36
24
8
8
8
8
8
18
16
16
0
8
8
9
0
16
16
16
8
8
8
1
33
1
1
16
2
2
16
16
8
1
1
1
8
8
8
8
8
17
17
8
8
8
8
8
8
8
16
8
8
1
1
1
8
16
8
24
0
0
0
1
1
0
1
1
1
16
16
16
16
16
16
1
8
8
8
8
0
0
8
16
16
16
16
16
16
16
16
0
0
9
9
9
9
0
0
8
8
8
16
16
16
16
4
8
12
28
12
1
1
8
8
8
1
32
33
32
8
8
8
0
8
1
0
8
8
16
17
16
8
0
4
1
1
9
1
9
16
16
16
16
16
9
13
29
8
8
8
8
8
32
8
8
16
17
17
1
1
0
8
36
36
8
2
2
2
2
2
2
2
2
2
2
2
2
2
2
1
1
8
1
1
0
0
16
8
8
16
16
16
0
0
22
6
20
16
4
4
4
4
4
4
4
1
4
4
4
4
4
4
8
8
8
10
10
10
0
1
1
1
20
20
1
1
1
1
1
1
1
1
8
24
24
16
8
8
0
0
0
18
18
4
4
8
4
4
1
8
8
8
8
8
8
16
16
8
8
8
32
32
32
0
0
16
16
0
4
4
4
8
8
16
16
4
32
32
0
0
2
1
32
32
32
32
32
32
0
0
0
0
2
2
2
0
0
2
0
0
1
1
1
1
1
1
1
0
8
8
8
8
8
8
8
8
8
1
1
1
8
8
32
6
6
6
4
4
8
8
16
16
0
8
8
8
16
16
0
16
16
16
16
50
58
22
22
4
4
4
4
6
16
16
16
18
35
8
8
8
8
0
0
6
0
8
8
8
8
8
8
8
20
20
20
36
32
24
24
32
32
0
4
4
4
2
16
16
16
16
16
24
0
0
0
0
4
4
8
8
8
8
8
8
2
2
8
0
2
0
0
16
8
20
8
35
51
51
51
16
16
16
16
9
4
8
4
4
4
2
2
8
8
8
8
8
16
16
16
16
16
18
12
8
8
8
0
1
1
1
1
1
1
9
0
8
8
8
8
8
8
8
8
4
4
4
4
17
17
0
8
33
2
2
0
8
8
0
16
0
0
0
0
0
28
28
0
0
17
2
8
8
0
16
16
16
8
8
16
16
16
8
8
8
8
0
0
8
8
8
8
0
16
8
24
24
4
4
4
4
0
8
8
8
8
8
16
16
16
16
0
2
2
6
16
8
8
16
16
16
16
8
8
1
1
1
1
0
4
32
36
36
0
0
8
32
8
8
8
8
0
20
20
4
4
32
48
16
8
4
4
0
16
0
1
1
1
16
16
24
16
16
0
0
0
1
1
1
32
32
32
0
2
2
2
16
16
16
16
16
8
8
8
9
6
6
6
6
6
0
0
0
4
4
20
8
8
8
16
8
8
8
16
0
8
12
0
4
4
0
0
8
4
0
0
0
0
8
8
16
0
0
0
24
4
24
24
24
24
24
24
16
16
16
16
16
16
16
8
0
0
8
16
16
8
24
0
0
0
0
0
8
8
16
16
16
40
32
32
32
32
32
32
32
32
32
32
32
32
8
8
8
8
8
20
16
0
0
0
0
2
17
16
26
26
26
4
4
4
16
4
4
4
8
1
8
8
16
16
16
16
16
16
16
16
16
8
8
8
8
16
4
4
4
1
0
0
16
16
16
2
2
8
8
8
8
0
1
17
16
16
16
16
8
8
8
8
2
16
16
8
8
8
16
16
0
0
16
16
24
8
16
16
16
16
8
16
0
0
0
0
0
12
1
1
1
1
1
1
1
16
16
0
0
40
40
40
40
0
8
8
8
8
25
17
8
8
8
8
24
24
24
24
24
4
4
4
0
8
8
16
8
8
2
2
0
16
16
16
0
8
8
8
8
0
8
9
1
1
4
2
2
2
8
8
8
8
8
8
4
1
1
1
1
1
0
8
8
8
8
0
0
0
8
16
4
4
4
8
24
16
16
24
16
16
16
16
16
16
16
16
16
16
16
0
16
16
8
8
8
8
8
24
24
8
56
56
56
8
8
10
10
42
10
0
0
8
8
8
8
16
8
16
16
16
16
0
0
4
4
16
20
16
16
16
0
0
0
0
0
20
4
4
20
16
16
8
17
8
8
8
8
8
8
16
8
8
16
16
16
16
16
16
16
16
16
16
16
16
16
16
1
1
0
0
16
16
8
8
8
8
8
8
0
0
32
8
32
4
4
4
16
8
16
16
8
8
0
0
0
8
8
8
8
16
16
16
16
16
16
16
0
0
0
4
12
12
12
12
8
8
0
1
1
1
1
1
1
1
4
20
16
16
24
24
24
24
4
4
8
8
32
32
32
32
8
8
8
8
8
8
9
1
9
9
1
1
8
8
4
2
6
8
8
8
8
8
8
0
0
21
1
2
6
6
0
1
1
1
16
16
0
0
0
0
16
16
1
1
1
1
8
1
7
20
16
24
16
16
24
0
16
8
8
8
8
8
8
8
8
0
16
16
16
16
0
32
16
2
16
16
16
16
16
16
56
16
8
0
8
8
8
8
8
16
0
8
8
8
8
0
32
32
32
32
8
44
44
16
16
16
4
4
0
0
2
2
2
16
16
16
18
0
0
0
16
24
0
10
8
2
11
10
0
0
0
8
8
8
0
0
0
8
8
8
8
24
0
0
0
4
0
8
0
8
8
8
0
16
16
16
16
8
8
8
0
8
8
16
28
16
16
16
16
16
16
16
16
4
4
0
0
0
0
24
0
16
16
8
8
0
24
24
24
24
24
0
16
16
16
16
4
4
2
0
0
1
0
0
0
0
0
0
0
0
0
24
16
8
8
8
16
8
8
32
2
2
32
0
17
16
16
16
17
17
16
16
16
16
16
16
16
0
0
0
16
16
24
8
16
8
8
8
8
8
8
0
0
0
0
0
16
16
16
0
0
16
16
16
16
16
12
16
16
8
8
8
8
8
16
16
1
1
0
2
2
2
2
2
2
2
2
2
2
4
4
8
8
0
1
1
1
1
1
1
16
4
4
16
8
8
0
33
32
32
4
4
4
1
1
1
1
16
8
8
8
45
45
0
16
16
4
20
8
8
8
0
0
0
8
8
4
8
8
8
8
0
0
0
16
16
16
2
16
18
18
18
18
8
8
8
8
8
8
8
8
8
0
0
6
0
16
16
0
25
16
8
16
8
8
8
8
2
0
0
0
4
16
2
8
8
8
0
4
4
4
4
4
4
8
8
2
4
4
4
0
28
20
16
16
16
16
0
8
8
8
0
0
8
8
8
8
1
9
9
9
16
24
16
8
8
6
6
6
6
16
16
16
0
0
0
0
16
16
16
16
32
32
32
0
0
8
0
0
0
0
0
0
8
8
1
1
8
0
0
0
16
16
16
16
8
8
8
8
8
8
8
8
1
1
16
16
16
16
16
16
16
16
16
16
16
16
16
5
5
5
5
5
0
0
0
8
16
0
0
0
0
0
8
8
8
8
8
32
32
8
8
0
2
0
16
16
8
16
16
16
0
0
0
8
8
8
8
0
24
21
21
16
16
0
0
0
0
0
16
16
16
16
16
16
16
16
0
8
0
0
8
8
8
8
8
8
16
8
16
0
16
16
16
2
12
1
1
1
1
1
1
25
25
1
0
16
16
16
8
8
8
16
8
8
8
8
16
16
16
0
16
16
0
24
24
2
2
33
32
1
33
33
33
33
1
1
11
11
8
8
16
17
16
16
48
16
16
16
16
16
16
8
8
8
8
16
16
48
26
0
0
0
0
8
8
8
16
16
16
32
32
8
8
8
8
8
8
1
40
4
0
16
16
8
8
24
8
8
8
8
8
0
4
4
8
16
0
6
6
18
18
0
16
16
16
16
16
8
16
16
16
16
16
16
16
4
4
4
4
24
8
8
0
0
8
8
8
8
8
16
8
8
16
16
4
4
4
8
8
8
16
16
16
8
8
0
0
16
16
16
1
0
0
1
1
0
0
0
0
0
0
0
8
8
8
0
8
8
24
24
0
0
8
8
8
8
8
8
8
0
12
12
8
8
8
16
16
16
16
1
1
1
1
1
1
23
23
1
8
8
0
8
8
8
24
0
1
1
8
8
8
8
8
0
0
0
16
16
16
16
8
8
8
8
9
16
16
16
0
16
16
16
0
8
8
16
16
16
0
0
0
28
24
16
16
16
0
4
4
2
2
16
16
16
16
17
16
16
16
16
16
16
16
16
0
0
0
0
0
0
0
4
16
16
2
2
2
2
2
0
0
8
8
8
8
8
8
1
1
1
22
22
22
0
8
1
1
25
1
1
1
1
32
32
32
0
1
8
8
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
1
1
1
1
4
4
4
8
8
16
8
16
16
8
8
8
8
1
1
8
8
8
8
8
8
32
32
32
8
8
16
24
24
0
0
0
1
4
4
4
4
8
8
8
8
16
16
16
32
32
16
16
2
2
2
2
0
1
1
0
0
0
0
0
0
0
0
0
0
8
1
8
8
8
0
0
0
8
32
32
0
0
16
16
8
8
16
16
16
16
16
16
0
0
8
8
10
10
10
10
1
1
1
1
1
1
1
1
1
0
0
0
0
0
16
16
1
1
16
24
16
4
4
4
4
1
1
1
0
0
0
0
1
0
30
0
8
8
8
16
8
8
0
0
0
0
0
8
16
16
5
0
0
8
16
16
16
16
16
16
8
8
8
8
8
4
4
8
8
8
32
2
2
1
4
0
0
18
16
2
8
8
8
4
16
16
0
2
2
8
8
8
4
4
4
4
4
4
4
8
8
8
8
0
8
8
16
16
16
16
16
16
16
16
2
2
16
0
16
32
16
0
0
0
0
0
12
8
8
16
16
16
2
4
2
16
16
16
8
16
16
16
16
16
18
18
18
16
16
16
16
16
16
16
16
24
24
16
8
8
20
20
2
8
8
0
0
16
48
24
0
0
0
20
4
12
8
8
8
0
4
4
4
4
8
8
8
8
8
1
4
4
4
4
4
4
16
16
32
8
2
18
2
2
2
2
8
8
0
0
0
0
16
16
2
8
16
0
20
4
4
4
24
8
16
48
48
8
8
8
0
16
16
16
8
8
4
4
16
8
8
8
16
16
16
16
16
16
18
16
8
8
4
4
4
4
5
4
8
16
8
8
8
8
2
18
8
8
8
0
8
8
8
8
0
0
28
24
24
24
8
8
8
8
8
8
8
8
8
8
16
16
16
16
16
16
8
8
32
32
32
8
8
8
16
16
16
16
8
8
8
8
8
8
8
24
8
8
8
8
8
8
16
8
0
32
8
8
8
8
8
8
2
2
8
8
8
8
0
0
0
4
4
4
4
0
8
8
32
8
0
8
8
8
8
8
8
8
8
16
8
0
8
8
8
8
1
1
0
8
1
8
8
8
8
16
0
16
0
0
0
0
16
16
16
16
16
17
1
16
8
8
8
8
0
34
8
0
16
16
0
0
0
8
8
8
8
33
0
16
16
4
4
12
4
4
8
1
1
0
0
0
8
8
32
32
32
32
0
8
16
16
24
24
4
8
8
28
8
8
8
8
8
8
8
8
8
8
8
1
1
8
16
16
16
16
8
8
8
8
8
8
8
16
16
16
16
8
8
1
8
8
8
16
16
16
16
16
8
8
8
1
1
0
0
0
0
0
8
8
8
16
16
16
16
16
16
16
16
24
18
18
18
0
32
8
8
0
16
16
20
20
16
16
16
16
16
8
8
8
2
2
2
2
2
0
8
8
8
24
24
24
1
1
2
2
2
2
0
0
0
0
4
8
2
32
32
32
32
32
0
49
16
16
16
16
16
16
4
0
0
0
16
16
1
16
1
1
1
41
16
20
8
8
16
8
8
0
0
0
0
1
1
1
8
8
8
8
8
8
8
8
8
0
0
0
8
8
8
8
16
16
8
8
0
8
16
16
16
16
16
16
16
8
8
8
8
8
0
0
0
16
16
16
0
2
2
17
17
17
17
32
1
16
32
32
32
32
32
24
8
8
8
8
4
16
16
16
0
8
8
0
0
0
0
0
24
8
8
8
8
8
8
8
0
0
8
8
0
4
4
16
1
9
16
1
1
1
0
16
16
16
4
4
0
0
0
16
16
4
4
4
4
16
16
8
8
1
1
28
20
8
0
0
1
1
1
1
1
2
2
2
2
18
16
16
16
16
4
8
8
0
0
4
4
4
52
1
4
20
4
16
16
16
0
0
16
16
16
16
16
16
0
8
8
1
24
16
8
8
1
7
7
7
7
8
8
8
16
16
19
8
24
8
8
6
22
0
8
8
8
1
16
16
16
16
16
16
17
4
8
32
32
32
0
0
9
9
8
16
16
0
0
8
8
8
8
0
0
16
16
0
0
8
16
0
0
0
0
4
1
0
16
16
16
16
16
0
0
0
0
0
1
1
0
0
0
0
0
0
1
8
8
8
1
1
1
8
1
1
1
1
1
1
16
1
28
16
16
16
8
41
8
8
8
8
1
8
0
0
10
10
10
0
0
0
0
0
0
0
8
8
0
9
9
9
1
1
2
2
2
2
2
2
2
2
2
2
2
2
2
0
0
0
2
2
2
2
2
2
1
16
0
0
16
16
16
16
16
16
16
16
16
2
20
8
8
8
16
16
16
16
16
16
1
1
16
0
0
0
0
17
1
1
0
0
0
0
0
16
4
8
8
8
8
16
8
8
4
4
4
28
28
16
16
16
16
16
4
4
0
0
8
8
1
1
1
1
1
4
4
4
4
16
0
9
8
0
8
8
8
8
8
8
8
8
12
12
12
8
8
8
8
1
8
8
8
1
1
1
16
8
24
4
4
4
4
4
4
28
8
2
2
16
16
16
16
16
16
8
16
16
16
16
16
32
0
0
0
0
0
0
0
8
8
8
8
8
16
8
24
8
8
8
8
8
0
16
16
16
0
0
0
16
8
8
16
8
0
0
0
0
0
8
8
16
0
0
8
8
24
8
16
25
0
4
8
0
4
12
8
12
12
16
16
8
8
8
8
1
1
0
0
32
32
16
0
22
1
5
16
16
1
1
1
8
8
8
8
0
0
0
0
0
8
18
0
0
0
0
8
8
2
2
34
34
34
8
0
0
0
0
0
0
0
8
6
16
16
32
8
16
16
0
1
1
1
1
12
12
12
8
0
0
0
8
8
8
8
44
44
44
44
44
44
44
44
0
0
16
16
8
2
2
2
16
24
0
16
16
16
16
8
16
16
4
4
12
4
4
8
8
8
8
1
1
1
1
1
16
1
1
1
0
2
2
2
2
2
2
2
0
2
2
2
2
0
0
8
8
0
40
40
40
8
16
16
16
16
16
16
1
3
1
1
1
1
1
1
0
0
0
0
16
16
16
0
8
8
8
0
0
0
1
0
25
1
1
1
8
8
12
8
14
8
8
8
1
4
8
12
8
16
16
16
24
0
8
8
8
0
0
8
8
8
0
24
20
8
8
8
8
8
8
8
32
32
1
24
4
1
16
16
8
8
0
8
8
8
8
8
8
8
0
8
16
16
16
16
16
16
1
2
2
2
2
16
16
16
16
16
16
16
16
23
8
8
16
16
16
16
16
8
24
4
4
0
0
0
16
0
40
0
0
0
16
16
1
0
0
4
0
0
0
0
1
32
8
8
8
8
4
4
4
2
4
4
0
0
4
4
8
8
16
16
16
16
16
16
8
8
2
2
2
8
8
8
0
16
8
8
8
8
8
8
8
24
8
8
8
8
8
16
4
16
16
8
0
8
0
8
8
8
8
16
32
32
32
8
8
1
1
1
1
0
16
16
16
16
16
16
16
16
16
8
8
22
8
41
41
41
8
8
0
8
8
32
24
16
16
4
4
4
4
4
4
16
16
16
16
16
16
16
16
16
17
17
2
2
12
12
12
12
12
12
1
4
8
0
17
17
17
17
16
1
2
2
0
0
1
1
0
8
8
8
12
0
0
16
16
0
17
17
16
0
0
0
20
20
1
1
1
8
0
16
16
4
16
16
4
16
16
8
8
0
0
0
0
24
24
24
4
4
4
4
4
4
4
0
0
0
2
8
8
0
8
8
24
24
8
8
16
16
8
8
8
8
8
48
48
48
48
48
48
48
48
8
0
0
1
32
16
16
16
8
8
8
8
8
8
8
8
0
4
4
40
8
0
8
8
19
2
2
0
20
20
20
20
20
1
1
1
1
8
8
8
49
49
49
49
8
8
8
0
0
8
0
8
0
0
0
0
16
16
8
16
16
16
16
16
1
8
8
8
4
8
0
0
8
8
8
16
16
16
8
8
8
8
8
8
1
1
8
16
16
16
16
2
2
16
8
8
0
0
8
8
0
0
0
8
8
8
0
8
8
8
8
0
40
40
4
4
4
4
16
8
8
8
8
50
16
16
1
8
8
0
0
0
0
0
2
2
2
8
8
4
4
4
8
8
8
8
8
8
8
8
0
0
8
4
16
0
9
1
16
0
2
2
2
32
32
2
2
2
2
24
16
16
0
0
0
0
0
0
0
8
8
8
0
1
16
4
4
4
16
16
16
16
16
16
0
0
0
0
0
0
0
0
0
16
16
16
16
16
8
16
16
8
0
0
32
32
16
16
16
16
16
16
8
8
4
4
32
36
32
32
32
32
8
1
1
8
8
4
16
16
16
16
16
16
16
16
16
16
0
8
8
16
16
8
32
32
32
8
0
12
1
8
8
8
8
8
8
8
8
8
8
8
8
8
32
4
4
0
16
16
8
0
0
0
8
24
16
0
0
8
8
8
0
16
16
0
0
16
8
8
8
8
8
8
24
4
4
32
32
32
32
34
2
32
8
32
40
8
8
8
8
0
4
20
8
8
16
16
0
0
8
0
0
8
0
0
0
1
1
1
1
1
0
0
8
42
8
0
0
24
24
24
8
8
8
8
8
0
0
0
0
0
0
8
8
8
8
8
8
8
8
20
1
1
1
8
16
8
16
8
40
32
8
1
16
0
0
0
16
16
16
16
16
16
2
2
8
1
1
1
8
8
8
0
0
8
18
18
8
8
16
8
8
0
2
2
2
2
2
2
2
8
0
0
32
32
0
16
16
16
4
4
4
4
8
8
8
10
8
0
8
8
24
16
32
32
32
0
2
2
8
16
16
16
16
16
16
1
1
1
0
0
0
0
0
8
0
8
8
8
8
8
20
20
20
20
20
20
4
20
16
16
16
8
12
8
8
0
16
16
16
16
16
16
16
0
0
8
8
8
24
24
20
16
16
16
16
16
16
3
32
0
1
16
16
8
8
8
8
8
8
8
18
18
8
28
8
8
8
8
0
0
0
8
24
8
8
0
0
0
16
16
8
16
8
8
8
16
0
0
0
8
8
8
8
8
20
0
0
0
16
16
9
9
18
8
8
8
8
0
0
16
16
24
16
17
16
16
16
16
16
16
16
16
16
16
16
2
2
0
8
24
0
0
18
4
4
24
24
8
8
0
0
8
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
36
4
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
24
8
30
30
8
8
8
8
4
8
18
8
8
16
0
0
0
16
16
16
16
16
0
8
8
2
0
0
16
16
16
8
8
8
0
0
8
40
8
8
8
8
8
8
8
8
8
8
8
8
8
4
0
1
1
1
2
16
16
16
8
2
2
0
2
2
2
2
57
32
48
32
32
16
1
1
16
16
8
8
8
0
4
4
4
4
1
1
0
0
0
2
16
16
16
0
0
0
0
0
8
8
13
0
1
0
48
48
16
16
16
1
1
1
0
0
21
21
56
1
1
8
8
8
8
24
16
16
0
1
4
4
28
16
16
16
14
16
30
2
4
4
12
0
0
0
0
8
8
8
8
8
8
8
8
8
8
8
4
4
32
8
8
8
24
32
32
40
0
16
16
16
16
16
8
8
16
8
8
8
8
8
8
8
24
16
16
16
16
16
0
0
0
16
7
23
23
23
23
22
16
16
16
16
1
1
1
1
16
1
1
16
16
8
8
8
8
8
8
34
34
34
34
1
16
16
16
16
8
8
8
8
8
8
1
1
0
0
0
0
0
20
16
16
0
0
8
16
16
8
4
1
1
1
1
1
1
0
0
0
0
4
2
2
2
2
16
8
0
0
0
0
8
8
0
0
0
8
8
8
8
2
16
4
4
4
4
8
4
4
4
0
0
16
16
17
17
17
8
8
8
8
8
8
8
8
8
8
8
24
21
21
21
21
21
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
4
32
1
37
37
37
1
1
2
1
1
1
16
16
16
16
16
1
1
1
1
16
4
0
0
0
0
0
0
0
0
0
0
0
0
0
25
16
16
16
16
16
0
0
0
0
4
2
2
1
8
0
4
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
24
16
16
4
24
4
24
1
1
1
16
16
16
16
16
0
4
4
4
4
4
4
8
0
8
8
8
8
2
16
16
16
8
8
8
8
16
8
8
8
32
1
1
1
8
0
8
8
8
8
16
16
16
28
16
16
16
16
0
8
8
4
4
20
16
8
8
8
8
8
8
8
8
0
8
0
8
8
8
8
8
16
0
1
8
5
5
5
5
8
16
16
16
1
1
1
4
4
16
16
16
16
16
16
16
16
16
0
0
0
4
1
0
0
0
16
16
16
16
0
0
8
8
0
0
0
32
0
8
16
16
8
8
16
0
8
8
8
0
0
8
8
4
4
4
8
8
8
20
0
2
0
4
8
8
8
4
4
1
1
1
4
4
0
0
61
61
61
0
0
8
4
4
4
4
4
0
8
16
16
16
16
16
16
16
0
0
0
8
8
20
8
8
8
8
0
8
8
8
4
2
2
2
16
0
32
32
2
16
8
8
8
8
8
8
0
2
16
16
16
0
0
24
8
4
4
4
4
0
32
16
48
16
16
24
24
8
8
8
32
32
32
32
32
32
32
32
32
32
32
8
26
8
16
16
4
4
4
4
4
4
4
4
0
0
0
8
8
8
8
0
0
24
24
24
24
24
0
0
17
16
16
16
16
8
8
2
2
8
8
0
12
0
0
1
1
17
17
17
0
17
16
16
16
1
0
8
24
24
16
24
24
24
0
0
0
10
6
4
4
4
33
33
4
4
0
0
16
16
2
2
2
32
32
0
0
8
8
16
16
16
16
16
0
4
4
4
4
1
14
10
0
0
0
8
8
8
0
8
8
8
8
8
8
6
2
2
2
32
32
32
32
0
32
32
32
32
8
1
1
1
0
0
8
16
16
0
17
4
8
8
8
16
4
20
20
0
0
0
0
16
0
0
8
8
2
2
2
2
2
0
16
8
8
0
0
16
0
4
16
3
11
3
3
8
8
0
0
0
0
0
0
0
8
8
8
8
8
0
8
8
8
8
0
0
0
0
8
8
8
20
16
0
0
8
8
8
0
0
0
8
24
8
0
16
16
16
16
16
16
16
16
20
0
1
8
8
8
1
17
0
13
13
13
40
0
0
8
8
8
8
28
24
4
4
4
0
0
8
8
8
8
0
0
0
0
8
8
8
24
8
8
24
24
24
24
8
8
34
8
24
8
8
8
2
2
2
2
8
0
28
8
8
8
8
8
8
8
8
1
1
24
24
8
14
8
24
8
8
8
8
8
16
8
4
4
16
0
0
8
0
0
0
24
8
8
8
0
8
0
0
8
8
0
16
16
24
8
0
0
0
4
4
2
2
1
1
1
0
0
0
0
16
8
8
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
3
18
16
16
16
16
0
8
8
0
0
0
8
2
0
12
4
4
4
4
8
8
16
8
8
8
8
8
0
0
0
8
0
0
0
52
16
0
8
8
8
8
0
1
1
1
0
0
0
0
0
16
16
16
1
1
1
24
8
8
8
8
8
8
8
8
8
8
1
1
16
16
16
16
16
0
0
0
0
0
9
24
24
0
16
26
26
26
16
16
0
0
0
0
0
32
9
1
20
20
16
16
8
8
8
8
8
16
16
4
4
5
0
18
18
18
18
16
4
20
32
32
32
8
8
8
8
8
8
8
8
4
0
0
16
16
16
0
0
0
8
25
25
0
0
0
0
16
16
2
1
3
0
0
0
16
16
16
16
16
16
8
8
8
16
0
0
0
8
8
8
8
0
3
2
2
2
2
0
8
0
0
0
8
8
8
4
4
4
4
16
16
16
16
8
8
8
2
2
4
16
2
2
16
0
0
8
8
1
1
1
1
1
1
0
0
0
0
0
0
1
1
0
0
32
32
32
0
32
32
8
8
8
8
0
0
8
8
8
8
0
8
20
20
8
16
16
16
8
8
32
8
0
8
16
16
16
16
0
16
16
16
0
36
34
32
32
32
32
32
16
16
0
0
0
8
16
16
16
4
4
4
0
5
5
5
18
18
18
16
16
16
16
16
0
0
0
2
2
0
0
0
8
4
16
16
16
0
0
0
8
8
8
2
8
4
16
20
20
20
8
0
16
8
8
8
8
8
8
8
8
24
56
7
0
8
1
1
1
1
16
0
40
8
0
0
4
32
8
8
40
4
32
32
32
8
8
0
16
8
24
8
8
8
8
2
2
0
0
8
16
16
0
0
0
8
8
8
8
8
8
8
8
24
16
16
16
16
4
4
16
16
16
16
16
0
8
0
0
0
16
16
16
16
16
16
16
16
16
8
17
8
8
8
8
0
0
4
4
0
0
0
9
8
8
0
16
0
0
4
4
8
4
4
12
8
8
8
8
8
16
8
8
4
4
4
4
12
8
8
8
8
8
8
8
8
1
1
8
0
0
1
1
1
1
1
16
16
16
0
2
2
2
2
2
2
2
2
2
2
2
2
2
16
16
24
24
0
8
0
16
16
16
0
8
24
24
16
16
8
8
8
0
0
0
16
16
16
16
4
4
57
8
16
2
2
2
8
12
12
0
8
0
1
1
1
1
8
8
8
8
4
4
4
16
16
16
24
16
16
16
16
16
16
0
0
32
32
32
0
16
16
12
12
8
13
13
13
13
13
0
12
8
8
8
8
8
1
1
1
0
16
16
16
32
8
8
2
29
29
8
21
0
0
8
8
8
1
8
16
16
16
16
16
0
0
1
1
0
0
1
1
3
3
0
4
16
16
1
1
0
0
0
0
0
0
0
16
16
8
16
16
0
8
24
24
24
24
24
24
24
0
0
0
16
16
16
0
0
0
0
0
0
8
8
8
8
8
8
8
0
0
16
8
8
20
1
8
8
0
1
0
33
33
33
0
8
8
8
8
8
16
0
0
0
0
2
16
22
6
8
8
8
8
8
8
38
38
0
0
0
16
0
0
32
8
8
8
16
8
8
8
8
16
24
8
8
8
16
16
16
24
24
4
4
8
16
16
0
1
1
1
4
5
8
8
0
8
1
1
4
9
9
9
9
9
9
8
16
10
10
10
8
8
8
8
8
8
8
8
8
8
16
16
16
16
16
1
1
1
1
8
8
12
0
0
16
16
16
0
0
0
8
2
8
0
0
0
0
8
8
8
8
0
0
0
0
0
0
8
8
8
16
16
16
16
1
8
0
2
5
5
5
5
24
8
8
1
8
8
8
8
0
16
16
16
16
16
8
8
8
0
8
8
16
16
16
1
8
8
8
16
16
16
16
16
0
8
8
8
8
8
8
8
8
16
16
16
48
8
1
1
16
1
1
8
8
8
8
0
0
0
0
8
8
8
8
0
16
16
16
16
24
8
8
8
8
8
8
0
0
0
42
42
0
4
0
2
2
8
8
17
0
1
1
1
0
16
16
16
16
16
16
16
8
8
8
8
8
8
8
8
8
32
32
32
40
32
8
8
8
16
16
8
8
8
0
8
32
32
32
0
0
1
1
1
1
0
0
0
32
32
2
2
8
24
1
16
0
8
8
8
8
24
24
1
8
1
8
8
8
8
8
8
0
0
4
4
8
8
8
16
16
4
4
32
32
32
32
32
8
8
8
0
2
2
2
2
2
24
8
8
0
17
17
0
16
16
9
9
9
9
0
0
8
0
0
8
8
0
16
16
16
0
6
6
1
8
0
0
8
8
8
8
0
8
8
2
2
2
4
0
0
16
16
16
0
0
8
0
8
4
4
8
8
8
8
0
1
1
1
8
8
8
0
2
2
2
2
2
2
0
0
0
1
1
20
0
0
1
9
1
8
2
10
4
4
4
17
17
8
8
8
8
4
4
0
0
16
16
16
32
32
32
32
8
8
8
8
8
1
0
0
0
48
48
48
48
48
48
4
4
4
0
0
8
8
8
0
0
0
2
2
2
0
4
28
28
28
28
28
16
16
16
16
2
6
2
16
16
16
16
16
16
16
0
0
24
16
16
16
16
16
1
1
1
32
32
1
1
1
1
1
1
0
1
16
16
8
8
4
4
16
16
16
20
20
16
16
32
8
24
16
16
16
16
0
8
8
8
8
8
0
8
8
8
0
0
0
0
60
60
60
60
17
17
17
0
0
0
0
8
4
0
16
16
16
16
16
16
4
16
20
3
8
8
8
16
16
16
8
8
5
8
16
16
4
0
24
8
8
2
2
2
2
2
32
20
20
0
0
8
8
8
8
8
8
8
0
8
8
16
0
0
8
8
8
16
16
8
2
10
25
25
25
0
0
0
0
0
3
3
3
3
3
8
32
32
8
0
17
17
0
16
16
16
16
16
0
0
0
8
17
8
8
8
0
0
32
8
8
8
8
8
32
32
16
8
8
8
1
1
0
0
0
16
24
24
24
8
8
24
24
16
16
26
0
0
0
32
32
32
8
16
16
32
32
32
32
32
32
32
32
8
8
8
8
8
13
0
0
0
8
8
8
8
8
20
4
0
0
0
1
1
1
1
8
8
16
16
16
56
56
24
8
8
4
4
0
4
4
4
8
8
8
8
8
17
4
4
8
8
8
8
8
0
0
0
16
4
20
20
20
20
20
16
0
0
0
16
16
16
8
8
8
4
4
4
4
4
4
0
16
16
28
28
2
2
2
26
16
1
8
8
8
8
8
24
0
0
0
0
0
0
0
0
4
4
4
32
0
16
16
16
16
16
2
16
18
0
0
8
8
8
2
2
16
2
0
0
0
0
0
8
4
4
12
0
0
0
16
16
0
0
0
0
8
16
16
16
16
1
2
2
2
0
0
0
0
14
14
14
14
16
16
16
16
16
8
16
24
8
8
8
8
8
8
8
8
8
16
24
16
16
16
16
8
8
12
32
32
32
32
32
0
0
0
0
0
0
0
0
0
0
0
0
56
56
56
8
0
0
0
0
8
8
8
8
8
0
0
8
8
8
0
16
16
16
16
8
8
8
8
0
0
0
0
0
0
16
8
0
32
32
32
32
16
4
2
2
2
32
32
32
33
8
8
1
2
2
2
8
33
33
33
33
33
16
16
32
6
1
1
0
0
0
0
0
2
2
0
0
0
16
16
16
16
16
0
8
32
0
8
8
0
8
4
9
8
4
4
4
4
4
4
4
4
8
8
4
4
4
0
16
16
16
16
16
16
16
16
16
16
16
16
16
16
0
0
0
53
49
49
8
8
28
28
16
16
0
0
0
0
24
8
16
24
8
1
1
8
8
8
0
0
8
0
0
0
0
0
4
4
4
32
32
32
16
16
16
16
16
0
0
0
8
16
16
16
16
16
2
2
2
2
2
2
0
0
8
8
8
8
24
16
16
0
0
16
16
16
8
8
2
9
9
0
2
4
6
8
4
4
8
33
33
1
1
4
17
17
2
2
2
2
2
2
2
16
16
16
8
4
8
16
0
4
4
24
28
28
28
2
2
2
2
16
16
0
8
8
0
8
8
8
0
0
32
32
32
8
8
8
24
16
8
8
8
0
0
8
8
0
0
0
0
8
8
16
16
16
16
16
16
32
16
49
48
48
8
8
0
0
8
8
8
8
8
8
16
1
1
16
16
16
16
16
16
16
0
8
8
8
8
2
1
3
0
0
0
0
8
8
24
24
0
0
0
1
0
0
0
16
16
16
32
20
20
52
52
52
52
52
52
8
16
0
4
4
40
8
8
8
8
8
1
12
8
8
8
8
8
8
8
0
0
0
8
8
8
8
8
8
8
8
8
8
24
16
8
1
0
0
1
1
8
4
4
1
1
0
40
40
40
40
40
40
17
1
1
1
16
1
0
8
24
8
8
8
8
8
8
16
8
24
8
8
8
8
8
8
8
2
4
16
0
24
8
8
0
2
2
2
8
8
8
12
8
0
0
0
16
16
24
16
16
16
16
50
16
16
16
0
0
0
0
24
16
8
16
1
8
16
8
0
0
16
16
0
0
8
2
1
1
1
9
1
8
16
4
4
4
4
0
0
0
0
16
16
0
0
0
48
48
16
16
16
16
8
8
8
0
0
8
8
8
8
8
8
8
1
4
4
8
8
8
8
0
8
0
8
16
16
8
49
17
16
16
16
16
16
16
0
0
1
16
16
0
0
16
16
1
9
0
4
4
4
4
4
8
1
1
16
16
16
16
1
1
1
16
1
1
13
1
1
1
1
1
1
1
1
1
0
0
8
8
8
8
8
8
0
0
0
8
17
1
1
1
44
44
44
8
8
8
0
0
16
16
16
0
0
0
0
42
42
0
16
16
0
16
1
1
21
1
1
16
0
0
8
16
8
8
8
8
8
8
8
8
4
4
24
24
0
0
4
8
8
8
8
2
2
10
2
2
2
8
8
16
16
16
8
8
2
2
8
8
16
16
8
8
0
9
9
8
8
8
8
8
16
16
16
12
12
32
32
32
32
32
32
32
8
17
8
8
0
0
0
0
16
16
16
16
0
0
0
8
16
8
16
16
16
16
16
16
0
0
24
8
16
16
16
16
8
8
3
8
11
0
0
0
10
1
1
1
16
16
16
16
16
16
4
12
12
12
8
4
4
4
4
4
0
2
2
16
16
8
5
4
4
4
4
4
8
8
8
8
16
18
18
16
4
4
10
10
16
16
16
0
0
21
21
21
1
1
1
1
1
1
1
1
0
0
0
32
32
32
8
8
0
0
0
0
0
0
0
0
4
6
4
4
8
16
16
4
4
16
16
16
1
44
8
8
8
0
0
8
8
12
2
0
0
0
0
1
1
1
1
1
16
16
0
0
0
8
0
1
1
1
1
1
4
16
16
16
16
16
16
16
16
16
16
16
1
8
8
8
8
8
8
0
0
17
1
1
24
24
1
2
16
18
16
16
16
0
8
8
4
4
4
24
24
0
21
16
16
0
0
16
16
16
16
18
18
18
18
8
8
8
0
0
2
2
2
2
0
1
0
16
16
16
16
0
8
8
8
24
24
24
16
32
4
4
8
1
1
1
0
4
4
4
4
4
2
2
8
16
16
16
8
8
16
8
8
8
8
8
8
16
16
16
8
2
2
9
9
9
4
4
4
4
0
8
8
17
16
16
16
16
16
2
2
2
24
16
16
16
16
0
0
0
0
1
8
32
32
32
32
32
32
32
32
32
0
16
16
16
8
8
8
8
8
8
8
8
8
1
1
1
1
1
1
8
8
0
0
0
0
0
0
0
0
17
0
16
16
16
16
16
16
16
4
1
1
1
0
0
0
0
0
16
16
2
0
4
4
8
16
24
8
8
0
0
8
8
8
8
8
8
8
27
27
11
8
8
8
8
8
8
1
1
8
8
8
8
8
32
32
32
32
0
8
8
8
20
20
20
1
8
9
9
4
9
9
0
0
0
0
24
0
0
0
2
2
2
0
16
18
0
32
32
32
16
16
16
0
8
8
0
4
4
12
4
16
16
16
0
18
16
16
16
16
8
8
8
8
12
8
0
0
2
2
2
2
0
8
8
8
0
0
0
0
0
0
0
4
16
16
8
0
20
20
8
0
16
16
16
1
1
32
8
40
32
8
8
24
0
0
0
0
0
16
1
1
1
0
0
32
8
4
4
8
8
8
8
8
16
8
57
17
17
0
0
4
4
4
4
16
1
1
1
32
20
16
16
16
0
0
0
0
16
32
32
8
8
8
4
0
0
1
16
0
2
2
2
4
8
8
8
8
8
8
8
0
6
2
2
2
4
0
1
16
16
16
16
16
16
16
4
0
0
16
16
0
1
1
1
1
1
1
4
8
8
8
32
2
24
8
4
4
2
2
8
8
16
16
16
16
32
32
32
32
32
32
32
8
8
8
8
8
8
8
8
8
8
8
0
0
1
1
8
8
8
0
0
32
8
8
8
16
16
2
16
16
16
16
16
0
0
0
8
8
8
8
8
12
12
12
16
2
2
16
16
8
8
8
8
0
0
0
0
8
8
8
24
0
4
4
0
32
32
32
32
32
8
8
8
8
8
0
0
51
32
33
32
33
32
32
8
8
0
0
0
0
0
0
0
8
8
8
8
8
8
0
8
0
16
0
8
8
0
4
4
4
1
8
1
1
1
0
16
16
16
16
16
16
17
17
17
1
8
8
8
8
8
8
0
0
2
2
2
16
16
8
16
16
16
16
0
16
16
16
16
16
16
16
16
6
6
6
0
0
0
0
8
8
0
0
16
4
4
4
4
8
16
16
16
16
20
4
0
0
0
0
2
0
0
8
8
8
8
8
8
8
0
16
16
16
16
16
16
8
8
8
8
8
2
6
2
2
2
16
16
16
8
16
16
16
16
16
16
4
16
0
0
4
0
1
1
1
16
16
24
0
25
24
8
8
8
8
8
8
8
4
4
4
4
4
4
16
16
16
8
16
16
16
0
8
16
2
2
2
2
8
8
8
16
14
14
0
16
16
0
16
16
8
0
0
8
8
8
32
32
8
8
8
0
0
2
2
2
2
0
16
16
16
8
8
0
8
8
32
48
0
1
1
1
1
2
2
2
2
17
16
16
16
0
8
8
8
2
2
0
8
32
8
1
1
1
0
0
0
0
0
32
8
8
8
0
1
1
0
16
16
16
0
16
16
16
16
16
16
16
16
16
16
16
2
6
6
0
27
8
8
16
16
16
2
2
16
16
2
2
2
0
8
8
0
0
9
8
0
8
8
8
4
5
7
0
16
24
8
0
0
16
8
24
16
16
16
32
32
34
32
32
32
32
32
32
32
32
8
8
8
8
0
32
32
32
16
17
0
8
16
8
8
8
8
8
8
8
2
2
2
28
28
28
18
18
8
32
32
32
32
18
16
16
16
16
0
0
28
12
4
0
0
16
16
16
16
0
0
0
8
8
0
8
0
8
8
8
16
16
1
1
16
16
16
1
1
16
8
8
8
8
8
57
16
16
16
16
8
8
40
0
0
57
16
20
16
16
0
0
0
0
4
4
4
4
4
4
29
1
1
1
8
8
8
0
0
0
8
8
8
8
8
0
0
0
24
8
8
8
8
8
0
16
16
16
16
0
0
16
16
16
16
16
16
16
16
8
8
16
16
2
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
48
16
48
0
0
16
8
8
0
0
0
0
0
0
0
4
4
4
0
18
8
8
8
8
8
0
4
16
16
16
16
16
32
8
8
8
1
1
1
1
1
1
1
1
1
32
1
8
0
0
0
0
16
16
16
33
33
4
4
8
8
8
8
8
0
0
0
8
8
8
0
0
16
16
16
0
16
0
0
8
8
8
32
32
32
32
32
3
2
8
16
2
2
2
2
2
1
1
1
0
20
20
8
2
16
16
16
1
1
1
1
4
0
0
1
8
8
8
0
0
0
8
8
0
24
24
24
20
20
32
32
32
1
1
17
8
8
8
8
8
1
1
1
1
8
8
8
2
2
2
2
8
8
8
1
1
32
1
8
2
2
2
16
8
0
0
0
0
8
8
8
0
0
4
28
8
8
1
2
3
4
16
2
2
2
2
2
2
0
0
16
16
16
16
16
8
2
1
1
8
8
8
0
2
2
2
2
2
2
16
16
16
1
1
1
20
16
24
24
16
0
0
12
0
16
16
16
48
16
16
16
16
16
16
18
18
40
40
8
8
8
16
16
16
16
8
8
8
16
16
16
16
16
16
16
16
16
8
8
8
8
0
0
0
4
12
24
0
9
9
8
8
8
8
8
16
16
16
16
16
16
16
16
16
16
16
16
8
24
32
32
32
32
8
8
8
8
8
8
0
8
8
8
16
16
8
8
8
8
16
16
16
0
0
0
2
2
33
32
0
20
20
0
0
0
16
32
32
32
32
32
8
0
8
8
8
8
8
8
8
8
0
8
8
8
0
0
12
3
20
0
0
0
1
2
3
8
8
8
8
8
24
16
8
16
16
20
16
16
8
8
8
8
8
8
8
8
16
16
16
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
16
16
16
16
0
8
8
8
8
8
8
0
8
8
8
8
8
8
8
4
8
4
24
16
16
16
0
8
0
4
4
2
2
4
9
1
1
8
0
0
1
16
8
8
24
8
8
16
16
16
16
16
16
16
0
0
0
16
16
16
0
4
4
8
16
16
16
0
0
0
8
8
8
8
8
0
2
4
6
8
8
20
16
0
0
24
24
24
0
0
16
16
16
0
0
0
0
8
0
8
8
16
0
0
8
8
0
2
2
16
2
2
2
2
16
16
8
8
1
1
1
24
24
24
8
1
1
1
1
9
8
8
0
8
8
0
16
16
16
8
8
8
1
0
2
2
2
0
0
0
23
23
16
8
8
8
8
0
8
8
8
8
8
8
8
8
0
0
0
0
8
8
8
8
8
2
2
2
2
2
2
2
2
1
17
1
24
8
8
8
8
8
8
8
16
18
16
16
16
16
16
16
16
8
4
8
0
0
0
0
1
1
1
1
4
4
0
0
4
4
8
8
8
16
5
0
16
16
16
8
33
33
0
0
8
4
4
24
24
0
8
4
8
8
8
24
8
1
32
32
32
32
16
4
52
14
8
12
2
2
4
4
4
4
0
16
20
16
16
16
8
24
1
1
16
16
0
16
8
8
8
8
56
0
0
0
0
8
21
8
8
0
8
8
8
8
8
8
4
16
16
9
9
9
9
2
2
2
2
32
16
16
16
2
2
2
16
16
16
16
16
16
16
16
8
40
0
0
58
58
0
0
0
18
18
26
0
16
16
16
16
17
8
24
1
8
2
8
4
4
4
16
8
8
8
8
8
8
8
8
8
8
0
0
24
8
8
8
8
8
1
16
16
0
8
8
0
0
33
32
0
16
16
16
16
4
4
8
2
2
2
2
16
16
16
4
16
2
2
2
24
16
16
8
16
16
16
9
9
0
0
32
10
2
2
8
8
0
16
16
16
16
8
8
9
8
9
8
24
16
16
17
16
16
0
0
8
8
8
8
16
32
32
32
1
1
8
16
16
16
4
4
8
4
8
1
16
16
0
8
0
16
1
16
16
16
16
8
24
16
16
16
16
8
8
16
16
0
4
16
24
24
24
16
8
8
16
1
1
1
1
16
8
8
12
8
1
1
1
1
1
1
1
1
12
2
0
0
12
1
1
8
1
1
18
18
18
18
16
16
16
8
8
8
8
32
1
1
16
16
16
16
16
0
32
24
8
16
16
0
0
1
8
1
1
0
0
2
2
2
2
2
0
0
52
52
52
4
4
4
4
4
4
8
0
0
16
8
3
19
3
0
8
8
2
2
8
8
1
8
8
4
8
8
8
1
0
0
32
32
16
8
4
8
28
56
56
16
16
32
32
32
48
8
8
16
16
1
1
1
0
0
8
8
8
8
0
16
16
8
8
8
8
8
8
8
8
2
0
8
1
1
8
8
8
8
56
56
56
56
8
24
8
4
4
4
4
4
4
4
4
0
0
16
16
16
0
0
8
8
48
48
48
0
8
8
8
2
0
0
8
8
8
8
8
8
16
16
16
44
16
0
0
8
8
8
8
32
32
32
32
32
16
16
0
4
4
28
8
8
8
32
32
8
8
8
8
8
0
8
8
8
8
8
8
8
32
32
32
32
32
4
4
8
16
32
32
8
8
1
5
4
4
4
4
16
16
24
24
32
33
33
24
16
9
1
0
8
40
8
2
2
2
2
0
0
16
24
0
0
0
0
4
32
2
1
8
4
4
4
4
4
8
8
8
8
8
8
0
0
16
16
1
2
8
8
10
40
40
40
0
0
0
0
0
0
0
16
16
16
8
8
8
8
8
1
3
3
3
16
16
16
8
8
0
0
16
16
53
49
49
4
4
4
4
4
8
8
8
8
0
0
16
16
16
0
8
1
1
4
8
8
8
8
8
8
48
16
24
2
8
0
0
0
0
0
0
8
16
0
0
0
0
16
16
16
0
0
0
8
8
8
8
8
16
16
16
16
16
16
16
0
8
0
8
2
2
0
5
14
14
8
8
8
8
0
0
0
8
8
8
8
33
32
32
8
8
16
16
16
8
8
17
17
17
21
8
8
8
8
1
1
8
0
8
8
0
32
32
32
16
16
32
32
32
32
32
32
32
32
32
32
32
32
4
4
4
4
16
0
16
0
4
8
8
4
4
4
8
8
2
2
0
8
8
8
8
16
16
0
0
0
0
0
0
2
2
2
2
2
2
2
2
0
8
8
8
8
8
8
8
8
8
8
16
16
8
25
25
8
2
16
8
8
0
0
0
0
0
0
20
20
8
8
8
8
21
21
16
18
18
18
0
0
16
16
24
8
8
8
0
1
1
1
1
0
0
4
8
4
4
42
42
0
16
17
1
1
16
2
16
16
16
8
8
0
0
0
8
8
2
2
0
16
0
0
16
16
0
0
16
16
0
0
0
0
0
0
0
0
0
16
16
8
8
0
26
8
24
8
8
8
16
24
24
0
3
0
1
1
2
2
2
2
16
16
16
2
18
8
0
0
16
16
8
8
8
11
0
8
8
16
16
8
8
0
16
4
16
16
24
1
1
1
4
4
8
8
8
8
8
8
1
8
32
32
32
16
16
2
2
8
8
8
8
8
38
4
16
20
4
4
16
16
16
16
16
24
16
16
2
10
8
8
16
16
16
8
8
24
24
16
16
32
32
2
2
2
20
16
20
20
20
4
4
9
16
16
0
0
0
0
24
24
0
8
8
8
8
1
1
8
8
8
8
48
8
8
18
18
16
16
8
8
8
8
8
8
8
1
1
0
8
8
2
2
0
0
16
8
8
16
16
16
16
4
50
16
16
16
0
0
8
8
8
8
8
0
17
17
4
4
4
2
16
0
32
0
0
0
0
0
0
32
0
0
0
0
0
8
8
24
8
24
24
24
0
2
16
4
4
2
0
0
0
20
20
16
16
17
17
1
1
1
1
1
8
8
8
8
8
4
8
8
8
8
8
16
16
16
0
0
0
0
8
8
4
50
1
0
8
8
8
0
0
8
8
8
16
16
16
16
2
2
0
0
0
24
8
1
1
1
1
1
3
1
3
1
8
16
16
16
16
16
8
8
40
8
8
8
8
0
0
0
16
8
16
24
16
16
16
16
0
16
16
4
9
4
8
17
17
17
4
16
16
16
16
16
16
16
16
16
16
16
16
16
16
8
8
8
0
0
0
48
0
12
8
8
8
8
0
8
8
4
4
4
4
4
4
16
17
16
16
8
8
8
8
24
8
0
0
0
0
0
0
0
28
28
16
25
25
16
12
16
16
16
16
16
16
16
8
8
8
8
8
8
8
8
2
2
2
8
8
8
8
8
2
2
2
40
40
40
40
0
0
2
16
2
2
2
2
2
2
0
0
16
16
16
16
0
0
0
0
8
8
0
8
8
8
24
1
1
1
9
9
1
16
16
16
16
16
16
16
16
16
2
0
8
40
40
41
9
9
14
14
14
14
0
32
8
8
8
8
8
8
8
16
2
2
2
2
2
2
0
8
16
0
0
0
8
8
8
8
8
8
16
16
1
16
16
16
4
4
0
32
32
16
16
8
28
8
4
16
28
16
16
0
0
0
0
0
8
8
8
8
8
8
8
8
8
4
1
8
8
8
0
0
0
8
8
8
16
8
8
8
2
8
0
0
0
8
8
8
8
8
8
8
8
8
24
8
0
16
16
0
8
8
8
8
8
0
0
2
4
4
4
4
8
8
8
8
8
8
8
16
16
16
16
0
0
0
20
20
16
16
16
16
8
8
8
8
0
48
48
48
8
8
0
0
0
0
0
8
24
8
8
0
16
12
8
8
8
41
41
41
8
40
8
8
8
16
8
4
4
8
10
2
2
0
16
0
0
0
0
8
32
2
2
2
0
0
1
16
24
24
24
24
0
1
1
1
8
16
8
8
17
17
8
8
8
8
1
9
9
9
8
8
8
8
8
8
8
0
8
8
8
8
8
8
8
16
16
8
8
4
16
16
16
8
8
0
0
8
8
0
0
0
0
1
40
40
40
32
8
40
16
8
0
0
8
1
2
2
2
2
2
1
1
1
8
8
8
2
1
1
1
1
1
4
2
1
4
8
4
4
0
0
0
8
8
8
0
0
0
0
0
0
1
1
1
1
1
1
0
8
16
16
8
4
16
8
8
0
0
0
8
0
0
8
8
8
8
8
8
8
8
8
0
0
0
8
8
8
0
1
1
1
8
0
0
1
1
1
1
8
16
0
0
8
8
0
0
8
8
17
1
8
8
1
23
24
8
16
8
16
2
2
2
16
16
18
2
2
2
1
1
4
12
0
16
16
8
16
8
8
8
16
16
4
0
0
0
0
8
8
32
32
8
0
17
17
17
17
3
0
0
0
5
5
4
0
8
24
1
1
1
0
0
0
0
0
0
0
1
8
8
0
0
0
16
16
16
16
8
1
16
16
4
4
5
0
16
16
0
8
1
0
0
8
8
8
0
16
0
0
16
16
16
0
8
8
1
1
16
16
16
16
16
16
8
8
8
8
16
16
16
16
16
0
0
8
8
0
0
8
24
8
16
8
8
16
16
8
8
8
8
8
8
8
8
8
16
10
2
2
8
0
0
0
16
16
8
12
12
12
12
8
8
8
4
16
16
16
24
16
16
16
2
2
1
2
25
25
0
8
8
8
8
8
8
0
0
0
0
16
16
0
2
10
0
1
1
8
8
8
2
18
16
24
0
10
10
2
0
0
8
0
16
2
2
2
2
2
2
2
2
0
0
8
8
4
41
41
8
8
16
16
16
0
16
16
16
16
16
16
16
16
16
0
0
0
8
8
8
8
8
8
8
8
8
8
16
4
4
4
4
4
50
3
2
8
8
8
8
8
16
0
8
0
0
0
0
6
7
1
1
1
1
1
8
8
8
8
8
2
2
2
8
0
24
8
4
0
8
1
3
8
8
8
16
8
8
8
8
0
0
0
4
9
4
4
8
8
8
8
16
16
0
0
0
24
8
2
2
2
2
16
24
8
8
4
4
6
0
0
0
0
8
8
8
8
8
2
2
2
8
8
24
16
8
16
8
24
8
8
8
0
8
8
1
1
1
0
0
0
0
10
0
0
0
16
16
16
16
16
8
16
32
16
16
16
0
0
0
16
16
16
16
16
16
16
16
16
16
8
8
8
16
8
8
8
6
6
6
8
4
4
20
20
20
20
20
8
8
8
8
16
16
16
16
16
16
16
16
16
16
0
2
1
2
8
1
1
1
1
1
32
32
32
8
8
8
8
8
16
8
4
4
4
32
32
32
32
32
1
1
1
8
9
8
8
8
8
25
25
25
25
4
4
4
4
4
4
8
8
1
1
1
9
8
8
2
2
2
2
2
2
2
2
2
2
2
8
8
8
8
8
8
8
4
0
4
4
16
42
40
40
0
8
8
8
1
1
4
0
0
0
16
16
8
8
8
8
0
0
27
1
8
0
0
0
0
0
4
8
8
8
8
8
32
32
32
32
16
1
2
2
0
0
0
0
0
0
0
0
8
24
24
24
0
0
16
8
2
2
2
8
16
16
48
16
16
16
16
16
16
18
18
18
0
1
1
1
0
8
13
16
16
16
0
0
0
8
16
24
8
0
2
2
0
0
0
0
16
16
16
16
2
2
2
2
2
2
4
4
4
4
4
4
4
1
9
8
8
8
8
4
4
4
4
4
4
8
8
18
18
16
2
2
2
2
2
2
2
16
16
16
0
0
17
17
17
8
8
16
16
18
2
2
2
18
18
0
16
16
41
41
4
4
4
4
4
5
5
5
8
8
8
16
16
16
16
0
0
16
16
16
16
1
4
0
16
16
16
16
16
4
8
16
16
8
16
0
0
0
0
8
4
8
8
8
8
8
8
8
8
8
8
8
1
1
1
0
0
0
0
8
0
0
0
0
0
0
4
8
8
8
0
16
8
16
16
18
18
8
17
17
16
0
0
8
4
4
4
8
8
8
8
8
1
1
0
0
0
8
8
8
8
8
8
16
16
16
16
8
24
8
1
1
1
17
1
24
8
8
8
9
9
9
34
34
34
34
34
34
16
16
4
4
4
1
1
1
16
16
16
16
8
3
3
16
16
22
22
1
1
1
12
12
12
12
12
12
8
24
16
16
16
16
0
0
0
0
0
0
0
8
8
8
4
10
8
8
35
8
43
43
8
8
8
8
8
8
8
8
8
0
0
0
0
26
24
0
0
0
0
0
0
16
16
16
0
0
0
0
8
2
10
4
4
4
4
0
24
8
8
8
8
4
4
16
16
8
8
8
8
8
8
8
8
8
8
8
8
8
4
16
16
16
0
16
16
16
16
0
20
20
16
0
0
4
0
0
0
0
16
16
16
16
16
16
16
16
16
16
0
28
8
8
8
0
1
4
4
4
0
16
16
16
8
0
0
0
2
2
4
8
8
8
8
0
0
0
0
0
16
10
10
2
24
4
2
2
2
16
24
0
0
0
0
16
16
0
1
48
8
8
8
8
2
16
0
0
0
0
0
0
0
56
56
56
1
1
1
1
8
16
16
16
16
8
24
24
12
40
40
8
8
8
0
8
8
8
8
4
2
2
16
16
8
8
8
8
0
0
8
16
0
0
16
0
8
8
8
8
8
8
8
8
8
16
16
16
25
16
16
16
8
8
8
4
8
8
8
8
8
8
1
1
1
1
1
2
2
2
0
0
0
16
48
16
16
2
4
4
4
17
17
17
17
17
0
0
0
16
24
24
8
8
8
16
1
1
1
1
1
0
16
16
8
0
0
0
0
0
0
0
0
0
0
4
4
4
4
4
4
4
4
0
0
0
0
0
0
0
0
0
8
8
8
8
16
8
8
8
8
16
16
16
17
16
16
16
16
16
0
0
28
16
16
8
8
0
8
18
8
8
0
24
16
16
8
8
8
40
40
16
24
16
16
16
8
8
16
16
16
8
8
8
8
8
8
8
1
1
20
20
4
4
8
0
0
8
8
8
8
8
8
16
16
16
18
4
22
22
22
2
2
2
2
32
32
32
8
8
2
2
2
2
0
0
0
0
28
16
8
8
8
0
0
0
0
16
17
17
4
16
8
8
8
8
16
16
16
16
18
18
8
0
0
1
16
16
16
16
2
2
16
4
4
4
4
4
0
2
2
18
2
0
18
16
16
16
8
8
8
4
20
13
24
0
0
8
8
0
0
16
16
4
4
4
4
8
8
8
8
0
0
0
0
0
10
10
10
8
8
8
8
8
8
4
16
8
8
8
8
8
16
16
1
1
8
8
8
8
8
8
8
8
8
8
8
16
16
24
16
8
8
16
16
16
16
16
8
8
8
8
8
0
8
12
0
16
0
1
1
1
0
0
4
8
8
8
8
20
28
2
16
8
8
9
4
4
4
4
4
1
8
8
8
8
8
8
8
1
1
8
13
16
16
16
0
8
0
0
0
0
0
0
8
8
8
8
8
0
0
0
0
0
0
0
8
8
8
0
4
4
4
8
8
8
0
16
16
16
4
4
4
4
4
16
2
2
2
0
0
8
8
1
1
16
16
16
16
16
16
5
2
2
2
8
8
8
0
0
4
4
20
4
8
16
16
16
16
16
2
2
8
4
8
8
8
8
16
16
8
8
0
8
8
12
12
0
9
9
9
1
0
0
0
0
8
8
8
0
0
0
2
2
0
0
8
0
0
8
8
8
16
16
16
8
8
16
8
32
16
27
27
2
8
0
10
10
10
10
10
10
32
8
1
1
16
8
8
8
8
8
8
8
24
8
8
8
8
8
16
16
16
16
2
2
10
2
2
2
16
16
8
8
8
8
8
16
28
16
16
16
16
16
6
6
6
0
16
8
8
0
0
12
12
4
1
1
1
1
1
0
0
4
16
0
8
8
8
0
8
0
0
0
0
0
0
0
8
8
0
2
2
20
1
1
1
4
8
16
16
16
0
1
16
8
8
8
8
8
0
9
8
8
8
8
8
8
16
3
0
0
0
16
10
10
8
0
8
8
8
8
8
0
0
0
0
0
0
8
8
0
0
0
20
16
4
1
0
0
0
8
8
9
16
4
4
4
24
4
4
4
4
0
8
8
16
0
40
8
16
32
44
24
24
16
2
8
8
8
0
0
16
16
16
16
4
4
4
8
8
8
8
8
0
0
8
8
6
8
15
2
8
8
8
8
8
8
8
8
0
16
4
8
8
8
8
24
24
16
16
25
1
1
48
48
8
8
8
8
32
32
56
56
56
16
16
8
8
0
16
16
16
0
16
16
16
16
1
1
1
16
16
16
8
5
1
8
8
28
16
8
9
8
8
8
8
8
8
0
0
0
0
1
1
8
8
8
8
2
2
2
1
16
8
18
16
8
8
8
8
0
16
16
17
16
8
8
8
8
8
8
12
8
8
8
8
8
16
16
10
10
0
0
0
0
0
4
4
0
8
8
8
8
8
8
8
4
4
0
0
0
0
0
0
0
16
4
8
16
16
48
32
8
16
16
0
8
0
8
8
8
8
8
8
1
2
2
12
12
8
8
8
8
8
8
8
16
16
24
16
16
0
0
8
16
16
16
2
2
2
8
8
8
8
8
16
16
8
24
0
17
17
17
17
17
8
1
1
1
1
1
0
0
4
0
4
8
8
2
2
2
2
16
16
16
16
8
8
8
16
18
18
0
16
16
16
16
16
16
16
0
0
32
32
32
32
32
0
0
1
1
1
16
16
0
1
1
1
4
4
4
4
8
8
8
8
8
16
16
0
0
16
16
16
4
4
16
1
1
24
8
8
0
4
1
8
2
8
8
8
8
8
8
8
16
24
8
1
0
8
2
0
0
17
16
8
16
16
0
8
0
8
8
8
0
16
1
1
1
16
16
9
9
8
8
0
0
0
32
0
0
0
32
32
32
32
16
48
16
0
0
8
4
8
40
40
40
40
8
8
0
0
0
16
16
16
32
1
1
1
1
1
1
1
0
16
16
16
16
16
16
16
0
8
8
8
8
8
16
0
8
8
0
16
16
2
2
16
16
0
0
8
32
32
32
32
16
24
8
8
0
0
41
41
41
8
8
8
4
4
24
16
16
8
8
8
8
0
0
0
16
16
24
24
24
16
8
8
0
8
8
18
18
18
18
18
0
0
0
2
6
6
6
1
1
0
0
0
1
1
0
4
4
4
0
0
2
8
8
8
4
4
16
16
16
16
16
0
0
0
0
0
8
0
0
8
2
2
56
56
56
56
56
0
0
0
0
0
0
1
1
1
1
1
2
2
8
0
16
16
52
2
2
2
8
2
2
16
16
16
16
16
24
24
24
24
4
8
0
16
16
0
8
0
9
9
9
0
2
0
0
0
0
23
8
0
42
58
8
16
16
16
2
2
4
21
1
16
16
24
24
24
24
16
16
16
24
24
16
16
8
24
0
16
16
16
0
0
0
0
1
1
1
8
52
2
16
16
16
24
8
8
2
2
8
20
16
0
24
0
8
16
16
4
4
24
24
24
24
24
16
16
16
16
16
16
16
4
0
8
8
0
8
0
16
8
8
8
8
8
8
16
1
1
1
1
1
16
16
16
8
35
8
8
8
8
0
0
12
12
12
12
3
3
3
8
0
4
0
0
0
5
5
5
0
16
16
8
8
8
8
8
8
8
8
8
8
1
0
0
8
8
8
8
8
8
8
6
6
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
16
0
0
0
8
8
8
8
0
0
0
24
57
0
8
0
0
8
8
0
2
2
2
2
2
0
32
8
8
8
8
8
0
0
0
24
24
24
9
9
9
9
9
8
8
8
8
8
16
32
2
2
16
16
16
24
8
8
8
8
16
4
4
0
0
0
16
16
16
16
16
0
1
8
8
41
8
8
8
8
8
8
8
8
8
8
24
8
8
8
8
4
4
4
24
24
24
24
16
2
32
32
16
16
16
8
2
2
2
2
2
2
2
2
2
0
0
0
0
0
16
8
8
8
8
0
4
4
4
4
8
8
8
8
16
8
32
40
40
40
8
8
4
16
4
4
8
8
8
8
8
0
16
16
16
32
32
28
0
8
8
8
8
9
25
25
2
16
16
16
4
16
4
4
16
16
16
4
4
20
20
20
0
8
8
8
16
8
8
0
0
16
16
16
16
16
16
16
16
25
0
0
8
0
0
0
0
0
8
8
8
8
8
16
4
16
16
0
8
8
8
8
41
8
0
8
8
8
0
0
0
1
8
8
8
0
0
0
0
12
1
1
1
25
17
24
1
1
8
8
8
16
16
16
8
16
16
16
16
16
16
16
0
8
0
0
0
0
24
16
16
16
16
8
8
8
8
8
16
4
4
12
12
12
12
8
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
14
14
14
0
0
0
8
8
8
0
0
0
0
0
16
0
16
16
16
8
8
8
8
8
0
16
16
1
17
16
16
8
0
3
3
16
16
8
8
8
8
8
8
0
16
16
8
8
8
8
8
8
8
16
1
17
8
8
8
33
33
33
20
20
16
0
8
8
1
1
25
8
8
8
8
8
8
0
32
32
0
0
1
0
0
4
8
4
4
4
4
4
4
4
0
48
32
0
2
2
2
16
16
16
8
16
8
8
32
8
8
8
8
8
8
8
0
16
16
16
16
16
4
4
4
7
7
7
33
33
33
16
16
16
1
1
1
8
8
1
16
32
32
0
0
0
0
26
26
2
32
32
32
32
16
16
0
0
8
32
16
16
24
16
8
24
8
32
32
32
32
32
16
16
16
16
8
8
16
0
4
4
44
4
8
16
1
0
0
0
0
0
0
0
0
8
16
24
4
2
4
4
4
8
8
8
8
8
16
24
0
40
8
8
0
16
16
20
10
2
8
8
8
8
8
8
16
0
16
0
16
16
16
0
0
0
32
2
2
2
2
2
2
2
2
2
0
0
0
0
8
16
16
16
2
0
17
2
8
8
2
0
2
8
8
8
33
33
33
0
4
4
4
6
8
2
2
2
2
0
0
8
8
8
8
8
8
8
8
8
8
8
2
8
4
2
16
0
0
24
50
32
2
2
8
1
9
9
8
16
24
8
8
8
8
8
8
8
56
16
8
8
8
12
8
8
8
16
16
16
16
16
16
16
4
4
4
8
8
8
0
0
0
8
8
8
8
16
16
16
16
16
0
0
0
0
0
0
4
0
16
0
1
1
0
0
0
0
8
8
8
8
8
8
8
8
8
2
8
10
8
8
8
1
1
0
32
32
32
32
16
8
4
8
8
0
0
0
8
8
6
8
8
4
4
4
16
24
24
24
8
16
8
8
1
0
8
8
8
2
2
24
24
16
16
8
8
8
8
8
8
8
42
42
42
42
16
16
2
2
2
2
2
2
2
2
0
8
8
16
8
8
8
8
8
8
8
8
8
1
1
1
16
2
2
0
0
16
16
16
16
16
0
8
0
0
16
16
16
16
16
16
33
8
8
8
8
8
2
2
1
1
1
1
8
44
8
8
8
8
0
0
8
8
4
0
10
16
16
0
0
0
9
48
27
0
0
16
16
16
8
0
0
2
2
1
8
1
1
1
16
16
1
25
8
12
16
12
12
12
12
16
16
16
16
0
0
12
0
16
16
16
0
8
16
16
16
4
1
16
0
0
49
57
57
57
8
16
16
24
24
0
2
16
16
16
16
4
14
8
24
8
8
8
8
40
40
1
1
1
0
0
0
0
1
29
8
8
8
8
8
8
8
8
5
8
20
8
8
8
13
13
13
8
8
8
16
16
16
1
8
0
8
8
8
8
8
8
0
0
32
32
24
24
24
32
32
16
16
0
0
0
0
0
0
1
20
16
16
16
16
16
39
18
2
2
2
2
2
2
2
2
2
32
16
16
16
13
13
8
0
4
4
4
20
2
2
8
8
8
8
8
8
0
0
12
8
8
4
4
0
8
24
24
16
17
17
17
17
6
4
4
4
2
2
2
2
48
48
48
48
24
2
2
2
2
24
8
16
24
24
8
8
0
0
0
8
8
8
8
8
32
32
32
0
16
16
16
16
16
16
25
25
25
25
16
6
6
2
6
0
0
4
0
4
0
24
8
16
16
16
2
2
2
2
2
2
2
8
8
0
16
16
16
16
16
16
16
16
16
8
8
8
8
8
8
8
8
8
8
18
18
18
18
18
0
0
1
8
8
8
8
8
8
2
16
4
4
16
8
16
4
4
4
4
0
0
27
16
8
1
10
8
0
0
0
4
4
4
8
8
8
0
8
0
0
2
8
8
16
16
8
38
4
52
32
16
16
16
16
8
26
16
16
16
16
4
4
8
8
0
0
0
0
0
0
0
0
0
16
16
0
16
16
0
16
8
16
16
16
32
0
2
2
0
0
16
16
16
20
16
0
0
0
16
16
16
16
16
8
8
24
24
24
24
8
48
0
40
40
0
8
16
16
16
6
6
8
8
8
8
0
1
2
2
32
40
0
8
4
4
4
8
8
8
8
8
8
8
16
16
16
0
0
0
1
2
2
2
0
0
10
1
0
16
16
16
0
8
16
16
16
0
0
0
0
0
28
16
12
10
16
16
16
1
8
8
8
8
8
8
27
8
8
24
24
2
24
0
0
0
0
0
0
0
0
8
8
16
24
8
16
16
0
0
8
8
0
0
0
0
0
8
8
8
16
16
0
0
0
0
16
8
2
2
16
16
16
26
40
8
8
8
8
8
8
8
8
8
8
24
24
16
16
32
0
32
32
32
8
8
8
0
0
4
4
1
4
24
16
8
16
16
16
16
16
16
16
8
8
8
8
8
4
4
16
16
19
19
1
1
8
8
8
8
0
0
0
0
16
16
16
52
8
0
1
1
0
8
8
16
16
0
16
8
1
16
8
8
8
8
8
8
5
5
5
1
1
1
1
1
8
8
8
4
4
0
0
8
8
8
48
3
1
16
16
16
16
2
16
0
20
21
8
8
8
8
8
32
8
8
8
8
8
0
16
16
16
16
16
16
0
0
0
16
0
0
0
16
16
16
4
4
36
8
8
9
9
8
8
8
24
8
8
0
0
0
0
0
0
8
8
8
0
0
0
0
16
16
24
16
24
24
16
24
16
8
8
8
8
1
0
0
0
22
22
22
22
22
22
16
0
0
1
17
16
17
17
21
17
8
8
4
0
32
41
0
0
0
0
0
8
0
8
8
8
0
0
0
0
0
4
4
8
0
8
8
16
8
8
8
8
16
0
0
0
8
8
8
16
16
16
8
8
1
0
0
0
16
16
16
16
16
4
10
10
10
10
0
16
16
16
16
8
41
16
16
16
16
17
8
32
32
32
32
32
1
1
2
16
24
16
16
16
16
16
16
25
57
18
16
16
16
16
16
16
32
0
16
16
16
4
4
8
8
16
16
16
16
16
32
0
24
0
24
8
8
0
3
9
9
1
32
32
0
0
16
0
16
16
16
8
8
8
16
8
16
0
16
16
16
16
16
32
16
16
16
16
16
16
16
16
16
16
16
24
8
0
0
0
4
2
2
2
2
2
8
26
8
16
0
0
1
1
8
12
12
8
6
8
8
8
24
24
24
8
8
8
8
8
8
8
0
0
1
1
1
0
0
0
28
28
28
8
8
0
0
0
4
4
4
24
24
4
4
16
16
16
8
8
8
8
8
16
16
4
4
4
0
16
16
0
0
0
32
32
4
4
4
8
8
4
4
4
4
8
8
1
1
4
4
4
8
8
1
16
16
8
0
8
8
8
8
8
8
16
16
16
16
0
0
8
16
4
16
16
16
2
8
8
16
16
16
16
20
1
1
4
4
4
4
8
8
8
8
16
0
0
0
8
8
0
57
25
1
1
1
1
1
1
0
16
16
8
0
0
0
0
4
4
4
0
0
0
8
0
16
16
16
16
16
16
16
16
16
8
8
16
16
0
8
8
16
16
16
4
4
4
0
0
8
0
0
0
8
12
1
16
16
8
16
16
16
16
16
16
16
16
16
0
8
8
8
8
4
4
4
4
1
1
8
8
8
56
2
16
16
16
0
0
0
8
32
32
8
8
8
0
0
8
16
16
16
16
16
16
1
1
1
1
1
24
24
4
4
4
2
2
2
2
2
2
2
2
2
2
2
24
4
16
1
0
0
0
0
0
1
1
4
4
4
4
4
4
4
4
4
4
4
4
4
0
0
0
8
8
0
32
16
16
16
4
16
1
16
16
16
16
21
4
17
4
4
0
0
1
1
1
8
16
2
6
2
2
2
2
8
0
0
8
8
8
8
8
8
8
16
16
16
8
0
8
32
32
16
8
8
8
8
8
8
8
8
8
16
16
21
28
8
8
1
1
2
32
16
16
16
16
0
0
1
1
20
8
8
8
8
8
8
0
0
0
0
25
0
0
0
8
8
0
0
0
0
16
16
1
0
8
8
8
4
24
24
16
16
8
8
8
8
8
8
4
4
6
17
0
9
9
16
16
16
0
0
0
0
24
24
8
2
8
8
8
32
32
8
1
9
8
16
16
0
4
4
4
25
8
8
8
8
8
8
8
8
0
16
6
6
1
1
1
1
0
8
4
0
8
8
2
2
8
8
8
8
8
16
16
8
8
8
16
8
8
4
4
4
4
4
16
16
1
8
8
4
24
8
8
8
0
18
16
16
16
16
1
4
4
16
16
16
24
8
16
8
8
1
1
1
0
8
8
8
16
2
2
0
0
8
16
16
16
16
4
4
4
19
16
16
16
16
16
0
0
1
1
1
1
1
4
4
4
4
4
8
8
2
2
0
1
1
1
8
8
8
8
0
0
0
1
12
12
16
2
24
8
8
16
0
3
1
1
8
8
8
16
16
16
16
16
16
8
16
16
16
8
8
8
4
24
24
20
1
1
1
1
32
32
32
4
9
9
9
9
2
2
2
2
12
8
8
8
16
16
16
16
16
16
16
16
0
0
0
0
0
16
0
0
4
4
4
4
17
17
1
16
17
8
0
0
19
0
0
16
0
0
16
16
16
16
16
0
24
24
24
24
24
1
1
1
1
17
16
16
16
16
16
16
16
16
16
8
8
4
16
4
4
16
16
8
16
16
0
2
2
2
2
8
8
8
8
0
16
8
8
2
24
0
0
2
1
1
1
0
0
0
0
8
8
8
16
34
34
16
8
8
8
8
2
2
8
8
8
8
0
0
24
24
4
1
32
32
0
0
0
0
0
4
4
16
16
16
16
16
8
8
8
1
1
1
1
16
16
8
8
8
16
16
0
50
48
0
0
8
8
8
8
8
4
0
0
0
8
8
8
8
8
0
12
0
0
0
8
8
8
0
0
0
8
0
8
8
8
16
16
8
2
8
8
16
16
0
0
18
16
16
16
1
8
8
1
1
1
12
8
8
8
0
2
2
2
16
0
0
8
8
8
16
16
8
4
4
4
4
4
4
4
4
8
8
8
24
8
8
4
4
4
4
8
1
8
8
4
0
4
0
8
8
8
8
8
8
8
8
8
8
0
16
8
8
8
2
42
34
16
0
0
0
8
8
0
0
0
0
56
56
56
56
10
16
16
16
16
16
16
16
16
0
0
0
0
0
0
16
16
16
1
1
1
1
0
0
0
8
0
0
2
0
0
0
2
32
8
12
8
0
0
0
0
16
16
16
8
0
2
1
1
24
8
8
8
4
8
8
8
8
8
4
4
4
4
9
9
15
15
9
9
13
9
0
3
2
2
2
16
16
16
16
8
8
8
8
8
32
32
33
33
8
24
8
8
8
8
16
16
1
1
1
1
1
16
16
0
0
0
4
0
0
16
16
8
8
8
8
16
8
8
1
1
1
0
16
16
8
16
16
16
16
8
2
2
2
2
18
17
16
25
1
16
16
16
24
16
0
0
24
2
2
8
8
8
0
0
8
16
0
0
0
0
16
16
16
16
1
1
1
1
1
8
16
16
16
16
16
12
12
8
8
8
0
0
2
2
2
2
2
2
4
4
8
16
16
16
16
16
16
2
2
2
2
16
0
0
4
8
8
2
8
8
16
16
16
16
8
16
16
16
16
16
16
16
0
0
16
16
16
8
8
8
8
8
16
8
8
8
0
0
8
8
8
8
0
32
32
0
32
48
16
32
32
1
1
10
11
11
16
16
1
1
8
8
0
8
0
0
0
8
8
8
8
32
32
32
0
0
8
0
0
0
8
8
0
1
1
1
4
4
8
8
8
8
8
8
8
2
1
2
0
0
0
20
20
20
0
0
2
2
2
2
2
2
2
2
32
48
32
24
16
12
12
8
8
8
8
0
8
24
4
8
4
16
20
16
9
23
1
8
1
2
16
4
8
8
8
0
0
17
17
16
4
4
4
4
4
24
24
24
24
0
0
0
24
16
8
8
8
16
2
2
0
0
8
8
8
8
8
8
48
8
8
0
0
0
8
8
8
1
1
1
16
16
16
4
4
4
16
16
16
16
16
16
16
16
16
16
32
8
8
16
16
16
0
0
0
0
0
0
8
8
8
8
8
16
16
16
4
4
4
4
4
4
2
2
0
0
2
40
0
8
1
1
1
1
14
17
17
17
16
16
2
2
4
16
16
16
16
0
0
0
28
28
28
8
8
8
16
9
8
8
8
8
8
8
8
0
0
0
2
0
0
0
0
8
16
16
8
8
8
2
8
1
8
8
8
8
8
12
0
0
0
0
24
24
8
16
18
18
0
20
20
20
8
8
8
8
0
0
1
1
1
0
0
0
0
16
16
16
16
1
8
1
16
16
16
16
16
16
16
40
40
40
40
40
8
40
24
8
8
4
4
4
4
4
4
4
8
8
8
8
8
8
8
0
0
0
0
8
8
32
8
8
0
0
0
16
2
8
8
2
1
1
8
8
8
16
16
16
16
16
16
0
8
8
8
16
16
16
16
16
16
16
8
8
24
8
0
0
0
0
0
0
0
0
0
0
8
24
0
0
8
8
16
16
16
8
8
8
8
8
48
0
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
8
8
8
8
2
2
0
0
0
8
8
8
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
2
2
2
8
8
8
8
0
0
16
8
8
24
8
17
8
0
2
4
16
0
8
0
0
8
0
0
16
16
8
8
1
1
2
1
4
4
4
8
8
8
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
8
8
1
1
8
8
12
8
8
0
16
16
16
8
8
8
1
8
2
2
2
2
8
16
0
16
8
8
1
24
16
16
16
16
8
16
16
16
8
16
16
16
8
16
0
32
61
32
4
36
32
32
32
32
24
16
16
0
16
16
0
0
8
8
8
8
8
8
8
8
24
24
24
1
32
16
16
16
5
1
4
32
32
32
32
4
32
12
12
8
8
8
8
2
2
16
6
8
8
8
0
8
0
2
2
2
0
0
0
16
16
16
4
4
4
16
16
0
8
8
8
8
8
8
8
8
16
8
8
8
8
8
8
4
4
4
4
0
8
28
8
8
8
8
8
0
1
9
0
4
4
16
8
8
8
0
0
8
1
0
0
1
1
1
1
0
1
1
9
0
8
8
8
8
16
16
16
16
16
16
16
4
16
18
16
16
16
16
16
16
16
0
34
34
2
16
16
16
16
8
8
8
32
32
32
18
18
18
0
0
20
21
8
8
8
10
10
16
4
4
4
16
16
16
16
8
8
16
16
24
16
4
12
8
0
0
0
0
0
0
8
8
8
8
8
8
8
8
8
32
32
32
32
0
0
1
1
8
8
2
8
8
1
16
16
16
16
16
16
16
16
16
16
23
1
8
16
16
16
8
8
8
8
0
0
0
0
0
0
32
32
32
32
8
8
41
8
16
16
16
16
16
0
0
16
16
16
8
8
8
0
8
4
4
4
4
16
16
24
0
4
4
8
45
12
4
4
4
4
9
8
8
0
32
16
16
16
16
16
8
8
16
0
0
0
0
24
8
0
16
16
16
16
4
4
4
4
4
4
4
4
0
0
8
8
8
0
0
8
8
8
0
0
0
16
32
32
32
32
32
0
0
0
8
8
8
8
8
8
4
0
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
16
24
16
12
12
2
2
8
8
8
8
16
16
16
16
8
8
8
16
8
16
16
16
4
16
16
16
0
8
8
8
8
16
16
0
0
16
8
16
16
16
16
16
16
16
16
16
8
8
8
0
6
6
6
6
16
9
9
9
9
9
9
9
9
9
9
9
9
8
8
8
0
16
16
8
0
32
0
0
8
8
8
8
0
33
33
33
33
33
8
8
8
8
8
8
25
4
4
4
4
4
4
4
20
4
4
8
8
34
32
0
0
0
2
3
3
0
36
16
36
16
16
16
16
16
16
58
58
58
58
18
18
18
33
32
32
32
8
8
8
8
8
8
8
8
16
16
0
8
8
16
16
4
4
4
4
10
14
32
16
32
0
8
16
8
8
8
4
8
24
24
24
24
8
8
8
4
2
2
0
8
8
8
8
8
25
8
16
17
17
17
17
8
8
8
8
8
8
8
0
41
32
32
8
8
8
8
0
0
48
16
4
16
2
2
8
8
8
8
8
8
5
5
5
5
32
32
32
8
8
16
16
16
16
16
16
16
16
16
16
16
1
1
0
16
24
24
24
24
8
0
8
8
0
0
8
8
8
8
24
1
1
4
4
4
4
0
0
0
32
32
32
32
32
32
32
32
32
0
4
8
8
8
8
8
32
16
16
16
0
8
8
8
8
8
0
4
4
16
16
41
41
32
32
0
16
16
16
16
24
24
24
24
8
16
1
1
8
8
4
4
49
32
32
16
48
48
2
2
16
32
32
29
29
8
16
16
8
0
8
0
16
16
16
8
8
0
0
16
8
0
0
0
16
16
8
8
4
1
1
9
0
8
8
8
0
8
0
0
8
8
8
8
8
8
8
8
8
8
8
0
1
1
1
1
2
0
8
16
36
36
44
32
1
12
16
29
8
0
0
0
16
16
28
16
16
16
16
16
16
16
8
16
16
16
24
0
0
8
8
8
16
16
4
4
4
4
8
16
16
16
0
0
0
0
20
16
16
16
16
16
16
16
0
1
8
8
8
32
4
4
4
4
8
8
36
2
2
2
2
2
2
2
8
8
8
16
48
40
40
40
9
16
0
0
0
16
16
8
8
0
0
8
8
8
8
16
16
0
0
8
20
16
20
1
7
0
0
0
4
4
4
4
4
26
26
26
0
38
1
1
1
1
1
1
1
1
1
4
56
48
8
16
17
8
0
0
0
0
8
8
8
8
8
8
8
8
8
8
4
16
4
6
6
6
6
16
16
16
16
8
8
2
2
2
2
2
16
4
4
56
32
32
0
52
0
16
16
0
0
8
8
8
1
4
8
4
4
4
4
4
4
8
8
8
2
2
16
48
8
8
8
8
0
8
48
48
16
16
1
1
0
0
0
0
0
0
0
8
8
16
16
16
16
16
16
16
0
8
8
8
8
0
0
24
0
0
0
10
10
10
10
10
0
0
8
8
0
0
0
8
8
2
2
2
2
2
10
10
4
4
4
4
4
4
8
24
0
0
0
4
4
28
8
16
16
16
16
16
0
23
24
24
24
24
8
8
0
0
48
32
0
0
8
20
20
2
2
8
8
8
8
1
5
4
0
8
8
8
8
1
1
1
0
1
1
0
8
32
32
0
25
8
1
17
17
17
16
16
8
8
16
16
16
16
8
4
12
8
8
8
0
8
8
8
24
24
0
0
0
49
16
8
8
16
12
4
4
4
4
4
4
0
8
8
4
16
20
4
4
4
4
4
4
4
4
2
4
0
24
16
10
0
0
0
0
0
8
0
1
24
1
16
16
16
16
16
16
0
8
8
8
0
32
4
4
12
16
16
16
16
8
8
24
40
40
40
40
40
40
40
40
8
8
26
0
0
8
16
16
16
8
8
8
8
8
8
16
8
0
0
2
2
8
16
16
32
16
16
8
8
0
16
17
0
0
8
16
8
16
16
16
2
18
46
0
16
0
8
8
0
0
0
16
16
4
4
4
4
4
8
2
2
2
2
8
1
0
0
0
8
8
8
8
8
8
8
8
4
0
8
28
16
16
16
16
16
16
10
10
2
4
4
4
16
16
16
16
16
16
16
8
8
1
16
2
2
2
0
0
0
8
8
16
32
1
1
1
1
1
0
40
8
0
16
20
16
0
2
2
2
16
16
16
16
16
0
0
0
0
8
16
16
16
0
0
2
2
2
16
16
16
16
16
16
16
16
16
16
8
0
1
1
1
1
24
24
24
20
2
1
1
1
16
18
18
0
0
0
0
0
0
8
8
8
0
16
16
16
16
16
16
16
16
0
0
16
16
32
32
32
32
8
0
20
8
8
0
0
8
8
8
8
8
8
8
0
2
2
2
2
0
0
0
0
1
0
8
8
16
16
16
8
0
0
0
0
0
32
32
32
32
32
40
16
1
16
16
16
40
32
2
2
16
2
2
32
32
32
32
32
8
8
0
0
0
0
0
0
6
6
6
1
1
1
1
8
2
2
2
2
2
8
8
8
8
8
8
16
16
8
8
10
10
10
8
0
8
16
16
16
16
4
0
0
0
4
4
8
8
8
8
8
0
32
2
2
2
8
8
8
8
16
16
20
20
0
8
16
16
20
20
4
4
4
4
16
26
18
16
9
9
0
13
13
0
0
8
8
8
0
8
8
16
8
8
0
24
2
2
8
40
40
16
1
1
1
1
16
20
20
20
20
8
16
16
16
8
8
8
8
1
1
16
16
16
16
12
8
8
8
8
8
12
8
0
4
8
2
2
2
2
34
2
0
0
0
0
0
0
4
4
8
8
8
8
8
8
12
12
12
12
4
4
4
1
1
8
0
16
16
16
16
17
17
1
1
8
8
8
2
2
2
1
16
0
0
4
16
4
16
16
16
16
32
32
32
0
0
0
0
18
18
18
16
8
0
8
8
9
16
16
4
4
8
16
16
16
8
6
6
6
8
17
17
16
16
16
16
16
16
16
8
8
8
8
0
12
8
8
8
8
2
18
2
2
2
16
16
16
36
36
0
0
0
16
16
16
16
0
0
0
0
0
0
1
1
17
17
16
16
24
24
24
0
0
16
16
4
4
4
16
4
8
8
8
4
16
3
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
16
16
2
8
8
0
16
24
4
12
8
16
17
16
32
32
0
0
8
8
8
8
8
12
12
8
16
16
16
11
11
11
11
4
0
0
24
24
24
24
6
8
8
2
8
8
16
16
32
32
8
8
8
16
0
0
12
16
16
0
0
0
0
8
16
8
8
8
16
16
16
1
1
8
8
8
16
8
8
6
24
8
8
1
1
0
2
0
0
8
8
0
4
32
12
4
4
2
10
2
2
2
2
2
2
2
8
0
8
24
24
16
32
32
16
8
8
8
4
4
4
16
16
16
16
16
8
8
8
4
4
0
2
2
8
8
8
8
8
24
28
8
16
8
8
8
8
22
6
20
10
10
8
8
0
0
0
0
0
2
2
2
2
2
2
2
2
16
16
16
0
0
0
32
32
16
16
3
0
8
8
4
1
1
1
19
1
16
8
16
16
16
16
8
24
8
8
8
8
8
33
0
0
4
4
17
17
16
16
8
16
8
0
8
0
24
24
0
0
16
16
16
8
0
16
16
16
16
16
0
16
16
33
33
8
8
8
32
20
28
28
8
8
0
1
8
2
2
2
16
16
16
16
16
16
41
41
12
12
24
16
17
16
17
4
4
8
1
1
1
1
1
8
8
8
8
8
16
24
16
16
16
5
4
4
16
16
8
0
0
33
8
8
0
0
18
16
8
24
8
8
8
0
0
2
2
16
16
16
16
16
16
16
1
1
1
8
8
1
0
0
0
16
16
24
24
1
2
2
8
8
8
8
1
1
8
8
8
8
0
0
0
0
16
16
16
16
16
16
16
16
24
24
0
4
4
24
24
16
16
24
40
40
24
24
16
16
1
1
1
22
8
8
4
16
1
16
24
16
16
16
8
8
8
1
1
1
1
8
8
8
8
8
50
50
50
4
4
4
8
8
8
8
8
8
8
8
24
8
8
22
22
22
8
8
16
16
16
16
16
16
16
0
0
16
2
32
32
32
32
32
32
32
4
16
8
8
24
8
8
8
0
0
2
2
3
3
16
16
16
8
8
8
0
8
8
8
8
8
0
8
16
16
8
8
0
0
4
4
4
4
4
4
4
4
4
4
8
8
8
9
9
16
16
16
0
0
2
2
0
16
48
32
0
0
16
17
16
0
0
8
4
4
4
4
8
16
8
16
16
16
16
16
4
0
0
0
0
8
33
33
33
33
33
8
4
41
41
41
41
41
41
8
8
8
1
1
1
1
1
0
8
0
8
20
20
20
16
2
2
2
2
16
16
0
2
2
2
2
2
2
2
24
16
16
16
8
0
0
0
0
16
16
4
8
8
0
0
0
0
0
0
0
0
0
16
4
20
0
0
40
8
9
9
9
16
8
16
16
0
16
16
16
16
16
16
1
1
8
8
8
8
8
8
8
8
0
2
2
0
0
18
24
24
0
4
4
8
8
0
32
32
1
1
16
8
8
16
8
16
0
0
0
0
0
4
4
4
4
4
4
4
4
4
0
0
0
0
0
0
16
16
16
16
8
1
1
8
8
8
8
8
8
8
32
32
16
32
32
32
32
0
0
0
0
0
20
1
16
16
16
0
0
0
0
0
0
3
3
3
8
8
8
8
16
16
0
0
0
0
0
16
16
16
16
8
8
8
16
16
16
16
4
16
4
4
16
16
16
16
16
16
8
8
24
0
16
0
0
0
0
0
0
1
1
8
8
8
16
1
8
8
8
0
0
0
0
24
16
8
25
24
4
8
8
8
4
4
24
24
24
24
8
16
2
2
8
8
0
16
16
16
16
16
16
4
4
16
16
16
16
16
16
16
0
16
16
16
16
16
16
0
52
52
52
32
8
8
8
8
8
8
8
8
4
4
0
0
8
8
8
8
8
8
24
24
14
8
8
8
0
0
0
16
10
2
2
8
8
8
40
8
1
16
0
25
25
25
25
16
16
16
16
4
4
4
4
4
4
8
8
8
8
0
0
0
9
9
9
10
4
4
0
8
20
20
20
32
16
8
8
8
26
19
24
24
32
0
0
8
16
0
0
16
16
60
0
0
0
16
16
2
4
0
0
0
1
1
8
12
8
8
8
8
8
8
16
16
18
1
1
1
1
1
1
16
0
0
16
16
8
8
16
5
38
38
16
0
4
4
4
4
18
18
18
16
8
8
8
8
24
16
17
1
0
0
16
16
0
0
8
8
8
2
20
2
2
2
2
4
0
0
0
0
4
0
0
8
8
8
8
16
16
16
0
0
8
8
8
1
8
4
16
20
1
4
3
1
16
16
16
16
16
16
16
27
16
16
16
4
4
4
4
4
4
4
4
4
4
4
1
16
8
8
8
16
16
16
16
8
8
8
16
16
16
16
16
16
2
8
0
8
8
1
1
1
1
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
16
16
4
4
8
8
8
8
0
16
4
4
4
0
16
8
8
0
0
0
16
8
16
24
32
8
32
16
16
8
8
8
8
8
8
32
32
2
2
2
8
8
8
2
20
20
20
4
4
0
16
20
16
16
16
24
1
1
8
8
8
8
1
0
0
0
0
0
8
16
16
16
16
32
32
3
3
8
8
4
4
4
2
2
8
8
16
16
16
16
8
8
8
8
8
8
8
8
8
24
8
8
8
8
0
17
17
17
50
32
0
0
4
2
7
2
0
0
0
8
24
24
28
8
8
2
2
2
2
2
24
8
8
16
16
16
16
16
16
8
8
16
16
16
16
16
0
18
18
9
9
9
9
9
9
9
16
8
24
4
4
4
4
4
4
8
4
1
1
8
8
16
16
8
8
4
4
16
16
8
8
0
0
0
0
0
16
16
16
16
8
8
8
56
32
8
8
8
8
8
8
8
8
8
8
8
0
0
0
8
8
0
8
8
16
16
0
0
0
8
4
4
8
0
16
16
1
1
0
16
0
16
16
16
0
16
16
10
16
26
8
8
0
4
4
4
4
4
4
4
16
16
8
8
37
16
4
4
4
8
8
8
16
16
16
3
3
32
16
8
4
8
20
8
16
16
16
9
8
8
0
16
1
1
16
2
2
2
8
8
8
0
48
16
10
0
0
1
22
22
8
8
16
16
16
0
24
4
8
0
0
0
0
0
8
8
16
16
4
4
4
4
25
24
16
16
16
16
0
8
8
8
4
0
4
0
0
0
8
8
0
0
0
1
1
1
10
28
28
8
8
0
0
8
8
16
16
16
16
16
16
16
16
16
16
16
16
40
8
9
16
16
16
0
9
9
1
1
4
36
36
36
36
12
4
4
8
8
16
24
2
2
0
1
1
1
16
16
16
32
32
32
32
32
32
32
32
0
0
0
8
8
8
2
16
16
8
16
16
16
8
16
8
24
0
0
0
0
16
16
16
16
16
4
4
4
4
4
1
24
24
24
1
32
0
0
0
0
32
32
32
1
1
8
8
8
16
16
0
0
0
0
3
1
2
0
8
8
16
16
8
8
8
9
16
1
1
1
16
16
16
16
17
14
49
32
1
0
0
0
2
2
2
2
2
8
16
16
0
1
1
4
4
4
4
4
8
0
0
0
0
16
8
16
16
16
16
16
16
16
16
16
16
16
16
16
16
8
8
0
0
1
2
16
1
16
16
16
16
0
0
0
32
0
1
8
8
8
8
0
8
0
8
0
0
0
0
16
16
8
8
8
8
8
8
8
8
8
0
0
0
0
0
0
0
0
0
8
0
0
2
2
8
8
8
8
8
0
0
36
4
8
0
0
0
8
8
8
8
8
4
4
4
4
4
4
4
1
1
8
8
0
4
0
4
0
1
10
10
10
0
4
4
4
4
0
0
8
16
16
16
16
16
16
16
17
0
0
4
4
4
4
0
19
24
8
8
8
4
5
1
1
1
1
1
0
8
0
0
1
1
0
0
8
0
0
0
0
33
16
16
16
16
16
16
16
4
8
8
8
8
0
8
8
16
16
1
0
0
8
8
8
8
8
8
8
8
8
8
8
1
1
1
1
2
2
18
2
8
8
2
8
8
8
8
0
4
4
4
4
4
16
16
0
0
8
9
9
9
4
4
16
16
16
8
8
8
0
0
0
33
33
16
2
2
2
8
1
1
4
4
0
2
4
8
8
10
8
8
8
15
15
15
8
8
16
8
8
8
32
32
32
35
0
2
2
2
16
16
16
16
16
0
2
2
2
2
32
32
32
32
24
16
8
24
8
8
8
16
11
2
2
2
48
8
4
2
16
24
8
0
32
32
32
4
4
4
4
24
24
24
32
16
16
1
1
8
8
0
4
4
4
16
16
16
2
8
12
12
12
17
17
17
0
8
0
0
32
0
24
24
24
1
0
32
40
32
2
2
2
2
4
4
8
6
8
8
33
1
1
0
16
16
16
14
6
6
0
16
16
16
16
16
16
16
16
16
16
16
8
8
8
24
24
24
24
16
16
8
16
16
16
16
8
8
4
4
8
16
16
16
0
0
0
0
2
8
2
2
2
2
8
8
8
0
32
34
16
16
16
16
16
16
8
8
8
8
8
8
0
8
8
20
16
2
2
2
2
16
16
16
8
16
16
16
16
0
0
0
16
16
16
16
16
16
16
17
16
0
0
4
8
8
8
1
0
0
8
12
0
0
16
16
16
16
16
40
40
8
8
8
0
0
2
2
16
16
16
16
16
16
16
16
24
0
8
8
8
16
16
0
0
0
0
0
0
4
4
4
16
16
16
0
0
8
0
0
0
4
16
4
0
0
8
8
8
4
8
8
8
20
20
8
4
60
28
0
24
4
4
2
2
16
16
16
16
0
0
0
0
1
1
1
1
1
1
1
4
8
8
16
8
16
16
16
16
8
8
10
2
8
8
8
8
36
32
32
32
16
16
16
16
8
0
8
8
8
8
0
8
16
16
16
16
16
8
0
16
16
16
16
16
16
1
1
0
24
0
8
4
4
4
4
4
4
32
32
32
32
32
32
32
32
32
32
0
20
16
16
16
16
16
0
0
0
0
0
0
8
8
4
4
4
4
4
4
8
8
8
8
16
16
16
16
8
16
24
24
24
16
24
16
16
8
1
1
1
1
0
8
0
0
8
8
2
16
16
16
16
16
16
8
8
2
1
0
16
16
16
36
4
4
4
8
8
8
8
8
0
0
20
20
51
0
18
16
8
8
16
16
0
0
0
0
0
8
8
8
8
2
2
2
4
4
13
16
1
1
18
16
16
16
8
8
8
8
0
16
16
16
16
16
16
16
16
2
2
8
8
8
8
24
18
16
16
16
1
3
8
8
8
16
16
16
16
32
40
16
16
8
16
16
16
16
16
8
8
8
8
8
16
16
8
8
8
8
0
8
8
8
8
8
8
8
43
41
9
2
2
18
16
16
16
16
16
16
4
4
4
4
4
0
8
16
8
0
32
32
32
32
32
32
8
0
0
0
0
0
0
0
0
4
4
4
4
0
0
17
16
1
0
0
0
0
16
16
40
0
0
8
8
8
1
1
8
32
32
32
4
0
0
8
24
4
4
4
4
4
4
8
16
16
16
16
16
0
0
0
0
4
8
1
1
8
16
16
16
16
16
40
16
16
4
4
0
0
0
16
16
16
16
16
16
0
8
8
8
8
2
2
2
2
1
1
1
1
1
16
16
26
26
24
0
12
12
12
4
8
12
2
12
12
8
8
8
12
0
0
0
16
8
0
16
16
4
8
16
16
0
1
8
8
8
8
8
0
0
0
0
0
0
0
16
16
1
1
1
16
4
16
16
16
8
8
0
0
8
8
8
8
8
6
2
2
16
16
16
16
16
16
0
0
48
48
0
4
4
4
4
4
4
4
4
8
8
0
0
4
4
1
1
0
4
4
4
1
1
1
1
1
1
1
1
8
8
8
4
16
8
2
14
6
8
1
8
8
12
1
0
0
0
0
0
0
8
8
8
8
8
8
8
1
1
1
1
14
8
1
0
16
16
16
16
16
16
16
16
0
0
8
8
16
20
8
8
25
8
8
1
16
16
16
2
2
32
44
1
1
8
4
8
8
8
8
8
8
8
8
10
8
16
18
5
32
32
32
7
8
56
8
8
0
16
16
16
16
16
16
2
0
0
0
0
8
8
20
16
16
16
4
4
16
16
16
16
0
0
0
35
0
0
0
0
8
8
8
8
2
2
2
2
2
2
2
4
4
4
32
42
2
2
16
0
4
8
8
8
1
8
16
16
24
24
16
16
16
16
16
16
4
4
4
0
0
0
0
24
17
17
0
8
0
16
8
16
16
16
16
16
8
8
16
2
11
2
9
8
8
8
0
0
8
16
16
16
0
4
4
0
0
0
0
0
0
8
1
2
1
0
0
0
24
4
4
0
0
16
16
25
25
21
21
24
24
24
0
0
0
8
0
32
16
16
20
1
1
1
1
1
1
8
8
0
0
0
0
0
8
0
0
0
0
0
1
1
38
8
16
16
16
16
0
8
8
4
16
16
16
16
0
8
8
8
47
43
8
32
8
8
8
8
8
8
16
16
28
8
1
2
2
16
32
16
8
16
16
16
4
4
0
0
0
0
0
9
0
0
28
28
1
4
16
16
16
16
4
4
0
8
8
1
1
1
8
1
1
8
8
0
16
1
1
0
8
8
8
16
16
16
57
32
8
8
0
24
8
8
8
8
8
8
8
16
16
16
16
16
16
16
8
0
32
16
8
8
8
8
8
8
8
8
8
8
24
24
24
1
1
8
8
0
16
8
8
8
8
8
8
8
0
5
5
5
0
8
8
8
17
17
8
10
2
2
8
8
16
16
16
52
32
2
2
0
0
0
20
20
20
20
20
32
0
8
9
8
8
8
0
0
16
16
16
8
16
8
8
5
5
5
32
16
16
0
16
16
16
24
8
16
0
8
0
9
8
2
1
1
4
0
0
6
6
0
16
16
16
16
16
16
16
16
16
16
16
2
2
2
2
1
1
1
1
0
0
0
0
8
2
2
2
0
8
8
0
4
4
8
0
1
1
4
0
8
0
0
0
0
0
1
8
8
1
1
1
2
1
1
1
1
0
16
16
16
16
16
16
1
9
9
8
8
8
0
0
16
1
0
0
0
0
0
16
16
8
8
8
8
4
8
16
8
16
16
0
24
8
8
8
2
2
3
3
0
8
8
8
8
8
8
2
2
0
12
12
12
0
8
8
8
8
4
4
4
4
4
4
4
16
16
16
16
8
56
8
8
8
1
1
17
0
0
8
1
5
16
16
16
16
0
16
18
0
2
2
4
4
4
4
4
4
4
8
8
8
0
0
0
0
30
8
2
8
0
0
0
8
24
8
8
8
8
16
16
1
0
8
0
0
0
4
4
4
0
0
0
0
0
8
8
0
0
8
4
8
4
16
16
8
8
8
8
16
8
16
16
0
0
2
8
4
0
0
4
4
4
0
0
16
1
1
1
0
0
8
0
8
16
16
1
1
1
18
18
2
2
2
28
28
28
16
16
8
8
16
16
16
0
0
8
8
4
16
16
16
16
16
10
2
16
8
1
1
4
4
4
16
16
16
16
24
8
8
8
8
8
16
8
4
8
8
8
8
8
8
8
8
8
16
16
16
16
16
8
4
2
8
1
1
1
1
16
16
0
0
0
0
12
8
8
8
8
8
8
8
8
8
8
0
16
17
4
1
4
4
16
16
16
16
24
16
16
16
16
4
1
1
1
25
1
1
1
1
0
0
0
2
2
1
16
16
4
0
0
16
16
26
32
0
8
8
8
8
8
16
16
16
1
2
8
24
8
8
8
8
8
8
8
16
16
16
4
0
16
16
20
16
16
16
16
16
16
16
16
16
16
16
1
1
1
1
16
18
16
1
1
0
0
0
0
0
0
16
16
16
4
4
4
4
8
8
0
1
24
24
16
16
24
25
16
16
16
16
8
8
8
8
16
16
16
16
16
1
2
2
2
32
32
56
40
9
8
32
32
32
16
8
8
8
8
8
8
8
8
1
1
1
1
1
16
16
16
48
48
48
10
8
8
8
16
16
16
2
2
24
8
8
8
8
8
8
8
8
1
1
16
8
8
8
8
12
8
8
0
0
0
0
4
4
4
4
4
4
0
0
1
16
1
0
5
8
8
8
8
8
8
8
8
8
9
1
0
0
0
12
12
12
12
16
2
1
8
8
8
8
8
8
4
4
0
16
16
16
16
16
16
16
16
2
2
0
0
0
0
8
8
8
0
0
0
1
1
0
0
0
0
2
2
2
2
2
16
8
8
8
8
8
21
21
1
1
16
18
8
8
8
16
18
18
18
18
18
18
16
16
8
0
0
0
9
1
20
20
16
17
17
16
0
0
0
8
8
8
12
16
0
18
18
18
0
0
0
2
1
2
2
8
8
6
6
6
4
4
16
16
8
16
16
16
16
16
0
0
33
33
16
16
16
24
16
16
26
2
0
8
8
8
8
8
16
16
16
16
8
8
16
16
0
1
1
1
1
1
1
8
29
29
29
40
40
40
1
1
1
1
19
19
8
6
16
22
0
8
8
16
1
1
1
1
16
0
0
0
0
8
8
10
8
8
0
16
18
16
8
8
8
8
8
8
8
8
8
8
0
8
8
8
8
8
8
16
16
16
16
16
1
16
16
16
2
2
2
2
1
24
8
8
0
0
1
0
5
5
4
4
4
4
8
8
9
9
9
0
8
8
8
0
0
8
0
8
9
0
0
0
0
0
4
8
8
0
1
8
8
2
16
16
16
16
16
8
8
16
8
8
4
4
0
8
48
8
24
26
24
16
16
4
4
16
8
8
0
8
8
10
8
0
0
0
0
0
0
8
1
1
1
2
2
16
16
24
48
48
48
48
8
8
8
8
16
20
20
20
4
4
0
0
0
0
1
1
16
16
16
16
9
8
8
8
16
8
8
0
8
8
0
0
0
5
4
2
2
2
2
2
16
16
8
8
8
8
0
4
2
2
2
8
8
8
8
4
4
16
16
0
0
0
1
1
1
16
0
1
1
16
2
32
8
8
8
8
8
8
8
8
8
32
32
32
8
16
16
8
8
16
16
0
16
16
4
2
1
1
1
8
8
8
16
16
16
16
16
16
16
16
16
12
8
8
8
32
32
0
16
16
0
6
1
3
24
24
19
19
8
0
0
0
8
16
8
8
8
10
8
8
1
1
1
1
1
1
1
16
24
8
8
0
0
0
16
16
16
16
16
4
16
16
4
0
4
0
0
16
16
0
16
16
16
16
0
2
18
0
0
0
24
24
24
24
8
8
2
2
0
1
1
1
1
0
0
1
1
1
0
16
16
32
32
51
33
32
8
4
4
4
16
0
8
12
8
0
1
1
1
0
16
0
0
8
8
8
8
8
8
8
8
16
0
0
8
8
8
8
8
8
1
1
1
0
0
32
32
32
8
8
0
16
16
2
2
2
0
20
20
20
20
33
32
32
0
16
16
16
0
0
16
16
0
0
0
16
8
16
16
16
16
4
0
0
0
0
0
8
16
16
4
8
8
0
24
24
24
24
8
8
8
8
8
8
16
8
8
2
10
10
1
2
2
2
16
8
8
8
0
0
7
8
8
8
16
0
0
0
28
16
8
8
8
8
8
16
16
16
0
8
16
0
8
1
8
1
0
0
0
8
8
10
0
24
24
0
0
0
0
0
0
0
0
8
8
0
24
0
0
0
8
8
8
0
0
0
4
4
4
0
0
0
0
32
32
8
8
24
8
8
2
2
2
4
4
8
8
1
1
1
1
8
4
4
4
4
12
4
32
32
8
8
8
18
0
0
16
16
23
23
23
16
16
16
16
16
0
8
8
24
8
24
24
20
20
4
16
16
16
16
0
16
24
24
24
16
24
24
8
8
0
0
0
0
8
8
1
2
1
1
16
16
0
4
4
0
16
0
16
16
16
16
16
16
16
16
16
8
8
0
0
0
0
8
8
0
0
0
8
8
8
8
8
1
1
0
16
8
0
0
0
21
5
8
0
0
0
0
0
8
0
0
0
16
1
1
0
16
8
8
8
2
2
0
4
4
16
17
16
1
0
24
24
24
0
32
8
8
8
0
16
48
16
16
8
8
1
19
19
19
19
19
1
0
0
0
0
16
25
25
8
4
32
32
2
8
8
0
1
16
16
8
4
4
1
1
1
17
9
16
0
0
16
16
8
8
0
16
16
8
8
8
8
8
18
18
18
18
8
8
8
4
4
0
0
26
18
26
2
0
0
0
8
8
8
8
8
24
8
16
16
16
16
1
17
1
0
16
16
8
0
0
4
4
4
4
8
1
1
1
16
8
0
0
0
0
8
8
8
1
9
1
1
1
1
1
2
8
8
8
8
8
14
14
0
0
0
11
11
11
16
0
0
0
8
1
16
16
16
16
24
1
16
16
16
16
16
16
16
16
16
0
0
0
34
4
4
0
0
0
12
12
8
8
8
1
1
1
16
0
0
16
16
16
16
16
35
35
35
35
0
40
8
8
1
1
8
16
16
8
0
0
0
0
0
14
50
50
0
0
16
24
0
0
4
4
4
8
8
8
8
8
8
8
8
0
0
0
32
32
8
8
8
24
24
24
0
0
8
8
1
8
8
8
8
1
1
2
2
2
2
2
2
0
0
0
0
16
20
20
5
5
0
8
8
8
16
4
4
4
4
4
4
4
32
12
8
8
0
0
0
0
32
40
32
32
32
8
8
8
8
8
8
49
49
16
16
16
16
16
16
16
16
16
1
16
16
16
16
0
0
16
16
16
16
16
16
16
16
32
32
32
32
32
32
32
32
32
16
16
16
8
10
8
16
16
0
8
8
8
1
1
1
8
8
8
4
4
4
4
4
4
4
21
21
8
4
4
6
6
2
2
2
2
16
16
8
0
0
5
5
21
0
8
1
0
0
0
20
8
8
8
1
8
8
16
9
9
8
8
8
8
8
8
1
8
0
0
8
8
8
16
16
16
0
16
16
16
24
0
0
4
4
4
8
0
0
0
0
16
16
16
16
16
0
0
40
40
40
40
40
16
16
16
8
8
4
4
8
8
8
8
0
0
26
26
18
0
16
16
24
24
24
24
24
24
0
0
0
8
8
1
1
1
1
8
1
2
2
2
2
16
16
16
16
8
1
1
1
1
1
1
1
1
1
1
0
12
8
8
8
0
0
4
4
56
40
40
40
1
8
4
9
9
9
32
32
0
0
4
4
16
16
16
16
16
16
16
0
8
8
8
8
8
28
4
4
0
16
16
4
4
4
4
4
8
8
8
8
8
8
8
8
26
8
1
1
2
2
2
2
24
24
24
24
8
8
8
8
8
16
8
8
8
8
8
8
8
8
8
16
8
8
8
8
8
16
1
1
1
1
8
8
8
24
8
8
8
8
8
8
32
32
32
32
32
32
32
32
32
8
2
16
16
16
16
16
48
16
16
16
16
0
16
6
4
4
4
16
16
16
16
0
24
16
16
4
4
4
18
18
1
1
1
2
2
2
2
2
2
8
0
2
1
0
0
0
0
0
16
16
16
16
16
16
16
16
16
4
4
8
8
8
8
0
0
0
0
0
0
8
0
8
8
8
8
2
0
0
1
9
9
9
16
16
16
16
18
2
2
2
2
2
2
2
8
4
4
0
0
0
16
0
8
1
16
16
16
16
16
0
0
16
16
16
8
8
0
0
0
0
4
4
4
4
4
4
8
8
8
2
0
8
2
0
0
8
8
8
8
0
2
8
8
2
2
2
34
34
34
8
34
34
8
8
8
1
1
1
1
0
16
25
25
4
12
4
4
0
8
1
1
16
17
17
17
16
16
16
32
16
16
16
40
24
24
2
2
2
16
0
8
8
8
8
8
8
8
8
0
0
24
17
17
0
0
0
0
16
16
16
8
8
16
16
16
16
8
12
8
0
16
0
0
8
8
4
0
0
16
16
24
8
0
8
24
24
16
16
8
33
33
33
16
24
24
24
0
0
1
1
8
8
16
16
16
16
4
8
8
8
8
8
16
16
16
16
1
8
16
16
16
16
16
16
16
16
0
0
0
24
16
0
0
8
8
12
4
8
12
17
1
0
52
52
16
52
52
52
52
52
52
52
0
0
0
8
8
0
32
32
32
8
8
8
8
8
8
8
8
8
18
18
18
8
4
8
2
2
4
4
4
4
4
8
8
8
2
2
16
16
16
16
16
24
32
32
32
32
16
8
8
8
8
8
8
32
32
32
32
2
2
2
2
0
4
4
4
8
8
0
0
16
16
16
12
12
12
12
8
16
6
6
4
4
0
0
8
8
0
8
8
0
0
0
0
1
0
11
11
11
11
11
11
17
1
1
16
8
8
8
8
8
8
8
8
0
0
0
32
16
16
16
16
0
0
0
24
0
0
0
0
0
0
0
0
0
0
4
4
4
4
4
16
16
20
0
8
8
8
8
0
16
16
0
0
0
8
8
8
0
0
4
8
25
16
16
16
24
24
24
16
24
0
0
0
0
0
32
8
8
0
1
1
1
8
16
16
16
24
8
8
8
8
8
8
24
24
24
24
4
4
4
1
1
1
16
16
16
16
16
16
16
16
0
16
0
0
16
16
16
16
8
0
16
16
16
8
8
8
8
0
0
2
4
13
8
8
0
8
1
22
8
8
8
8
8
27
27
16
16
4
4
4
4
4
4
0
0
16
16
8
8
8
8
1
1
1
1
1
1
1
8
4
41
16
16
16
8
8
16
16
16
8
8
8
8
16
8
24
24
26
26
16
16
16
16
16
0
0
0
0
1
1
9
1
8
8
0
0
2
2
2
16
16
16
1
1
1
1
1
24
24
24
24
24
24
1
1
16
8
8
8
8
8
8
8
8
8
8
8
8
8
8
16
16
16
16
8
8
8
16
1
1
16
16
4
4
4
8
8
4
4
4
1
16
0
8
0
22
8
8
8
8
9
0
0
0
0
0
0
0
16
16
8
8
24
24
8
8
8
2
2
2
2
28
4
4
0
0
0
0
0
4
4
4
16
16
8
8
8
8
2
2
2
2
0
0
8
8
8
8
25
0
8
8
8
8
8
10
1
1
1
0
8
4
4
0
0
0
0
8
0
1
1
1
0
8
8
8
0
2
2
2
24
24
0
0
16
8
16
16
8
8
8
8
8
8
8
8
16
16
8
8
0
8
8
8
1
2
2
2
2
2
16
16
0
16
16
16
16
16
8
4
4
4
4
4
16
16
1
0
16
16
16
16
16
8
8
8
8
10
16
16
16
16
16
16
16
16
16
16
1
0
0
0
49
16
16
16
0
0
0
8
0
24
24
8
8
8
2
2
8
12
8
4
2
17
24
24
24
24
24
0
0
4
0
0
8
8
41
9
57
17
0
0
8
8
0
0
0
0
0
0
32
32
32
0
41
8
8
8
16
8
16
16
16
16
1
1
1
1
1
1
0
8
8
8
8
2
8
2
10
2
2
2
2
2
16
16
16
16
16
16
16
2
2
8
8
8
16
16
16
16
16
16
16
0
4
0
0
8
8
16
24
24
24
24
24
24
24
24
24
8
8
16
8
4
4
4
4
9
1
1
8
8
8
0
0
16
16
2
2
2
2
32
2
2
2
8
8
8
1
8
8
8
4
0
0
0
0
0
12
0
0
8
8
8
8
12
12
0
0
1
1
1
34
16
0
0
0
16
16
16
0
8
8
8
8
8
8
8
8
8
8
8
8
32
40
32
8
8
0
2
24
24
24
0
16
32
32
1
1
5
16
16
16
16
4
4
4
8
0
24
24
24
0
8
8
8
8
0
0
16
1
1
8
24
8
8
8
8
8
8
32
24
8
8
2
2
6
32
16
24
1
1
1
8
14
12
12
24
24
0
32
10
10
8
8
8
10
10
10
10
16
16
16
16
16
16
24
4
4
8
8
8
8
12
16
16
16
16
16
16
16
16
16
0
0
0
4
8
8
0
4
8
8
8
8
16
16
16
8
16
16
16
16
16
16
16
16
16
32
32
8
0
0
0
8
8
8
8
4
8
8
8
8
32
32
40
32
32
32
32
32
56
0
0
4
4
4
4
24
24
32
0
1
1
1
1
1
1
8
8
8
10
8
8
24
16
8
8
16
16
40
40
40
40
40
40
40
40
40
40
0
8
16
16
16
24
24
8
8
8
8
8
8
8
0
0
0
0
16
16
2
8
8
8
8
8
24
24
24
24
8
0
23
2
2
2
2
0
0
0
9
9
9
0
0
0
0
16
16
16
16
16
4
8
8
8
8
8
8
0
8
8
8
32
16
16
0
0
32
32
32
32
0
8
12
24
16
8
8
8
8
0
0
8
8
8
0
8
8
8
8
8
24
0
0
24
24
24
24
24
12
4
12
0
0
32
32
32
32
0
0
24
8
8
8
8
0
4
0
0
8
8
16
0
8
0
2
2
2
8
8
8
8
8
8
16
16
16
8
8
2
2
2
4
4
4
4
4
8
8
11
6
6
0
17
0
0
8
8
2
16
16
16
0
8
4
8
12
12
4
16
16
8
8
8
8
8
16
16
0
0
8
8
16
16
32
32
16
48
8
16
8
8
4
8
8
0
0
2
2
2
2
2
1
1
1
1
0
17
17
0
34
32
32
32
20
32
8
8
0
1
1
1
0
0
0
0
0
0
0
0
8
28
28
16
16
16
8
16
16
16
16
0
0
0
16
8
8
8
8
0
0
0
4
4
8
8
8
1
1
1
8
8
8
8
8
8
8
8
8
8
4
16
16
0
0
0
0
0
0
0
4
4
5
5
4
32
32
8
16
16
16
8
8
1
1
1
1
1
1
0
0
20
20
16
8
8
8
8
8
8
1
1
1
1
3
3
0
0
0
32
32
32
32
16
8
8
8
16
0
0
19
19
4
0
11
16
16
0
0
0
0
16
16
0
24
24
0
4
4
4
1
1
1
1
1
4
0
8
8
8
0
0
0
8
8
8
0
0
0
0
16
16
16
16
0
16
16
8
1
1
1
8
8
4
4
8
0
0
8
0
0
17
17
4
0
0
0
4
4
36
0
32
8
32
32
32
8
8
8
8
8
1
1
0
0
0
0
0
0
8
8
8
0
0
8
4
16
16
16
16
16
16
16
8
32
32
0
0
0
32
1
4
16
16
16
16
16
0
16
16
8
8
2
2
2
2
4
8
8
8
8
4
4
4
4
8
8
4
4
8
8
8
8
0
4
4
3
3
3
0
0
0
24
8
8
1
22
0
0
8
0
8
8
8
8
8
8
12
8
8
8
16
12
12
8
2
32
16
16
16
16
8
8
8
8
16
16
16
16
12
12
12
0
4
6
4
8
8
2
2
0
8
0
16
12
8
8
8
8
1
4
1
4
2
2
2
2
2
8
0
16
16
16
0
8
8
8
8
8
8
0
8
8
0
1
1
0
16
8
0
0
0
8
8
0
0
6
6
8
0
8
0
8
8
16
1
0
0
0
1
1
4
4
0
4
4
4
16
16
16
2
2
1
1
8
0
4
8
8
8
1
9
8
0
8
8
8
8
8
8
4
4
4
4
16
16
16
0
0
8
8
8
4
4
4
4
4
8
8
28
16
16
16
16
8
8
8
8
8
8
8
0
3
3
3
1
0
0
16
16
16
8
32
32
32
8
8
8
24
0
8
8
8
8
48
8
13
13
4
4
4
16
16
8
8
8
32
32
32
32
32
8
8
8
8
8
8
8
2
2
2
8
8
8
8
8
0
0
16
16
16
16
16
16
0
0
0
8
2
2
16
16
16
16
16
0
0
0
0
16
16
24
8
40
32
32
0
0
16
16
16
16
16
0
54
0
0
8
8
52
0
4
14
4
16
4
4
8
8
17
1
17
1
0
0
8
8
8
0
1
1
0
0
8
8
8
8
8
8
8
8
2
16
16
16
16
0
0
16
0
4
4
4
8
8
8
1
1
8
16
8
8
0
0
8
1
16
8
8
8
8
0
8
9
4
16
0
0
0
16
2
2
4
4
16
24
2
2
8
8
8
8
8
34
34
34
8
0
5
16
16
16
8
16
21
16
16
16
0
16
32
24
24
8
8
8
8
8
8
0
8
8
8
0
4
4
4
17
8
8
8
8
8
8
16
16
56
1
1
16
16
1
32
32
32
0
0
0
0
0
0
0
0
50
0
0
0
8
8
8
8
4
8
8
8
8
5
0
0
10
10
10
10
8
8
8
25
25
25
25
8
8
8
16
0
16
13
13
8
8
4
1
1
0
0
8
8
28
24
8
8
8
8
8
8
8
8
16
0
0
16
16
16
16
8
8
8
8
8
16
16
16
16
16
8
0
0
0
0
0
0
0
1
1
4
4
4
16
16
0
26
32
32
32
8
8
8
8
8
8
0
16
4
4
4
4
0
8
8
8
0
56
56
56
8
8
8
8
16
16
16
0
0
16
16
16
16
16
16
16
16
16
8
4
4
16
0
0
0
0
0
0
16
8
8
8
8
8
8
8
8
8
1
0
0
0
0
0
0
0
0
17
17
17
0
0
8
8
8
0
0
0
9
22
22
22
32
1
0
0
0
4
4
4
0
8
8
8
0
16
16
16
16
0
0
0
0
0
0
0
16
8
8
16
16
16
16
10
10
0
0
0
16
16
16
8
8
0
0
16
16
16
1
0
0
2
2
2
0
8
16
16
16
8
0
0
0
0
16
16
0
8
8
4
48
48
1
1
1
8
8
1
1
1
1
1
2
0
8
8
8
8
8
8
0
0
16
8
9
1
1
24
8
8
8
16
16
16
16
8
32
40
40
8
0
0
0
0
0
26
8
16
16
16
16
8
8
0
0
0
8
16
16
16
3
3
3
3
8
8
0
4
4
4
4
8
8
8
8
8
8
8
32
32
8
8
0
0
8
60
60
60
32
32
32
32
32
0
16
1
2
2
2
2
2
2
2
0
0
8
0
0
8
32
40
8
8
0
0
0
4
4
1
1
1
16
16
16
12
12
12
4
4
0
8
8
8
16
1
1
1
1
16
0
16
16
16
4
4
4
16
24
16
16
16
16
16
16
16
16
16
16
16
8
8
8
8
8
8
16
0
0
0
0
0
8
2
8
8
8
2
2
2
2
16
4
0
0
0
0
32
32
32
32
32
32
32
32
32
1
1
56
8
0
0
8
8
0
0
1
1
1
1
9
8
8
8
8
24
0
0
0
1
16
16
16
16
16
16
1
20
2
2
18
2
2
24
24
24
8
0
4
4
0
0
16
16
16
16
16
16
16
1
1
1
1
4
1
1
24
8
8
8
8
8
2
2
2
0
8
8
24
24
8
8
8
8
1
1
0
16
16
16
16
16
16
4
20
1
4
16
1
1
1
1
32
32
32
0
0
8
8
8
0
0
2
1
1
1
1
1
1
20
2
8
8
16
16
0
8
4
4
4
0
8
16
16
0
8
4
2
16
16
2
2
0
32
32
32
32
24
24
0
7
7
2
2
2
2
16
4
2
0
20
20
20
4
16
20
20
8
8
8
32
0
1
1
1
1
1
1
1
8
8
8
0
8
8
16
0
0
8
8
8
3
16
16
16
1
0
0
8
8
8
8
8
8
8
8
8
8
0
1
16
16
8
0
8
8
8
8
8
0
0
8
24
12
12
12
1
1
1
1
4
4
16
16
4
4
8
4
4
4
24
24
0
16
16
16
16
16
24
0
0
0
0
8
32
32
2
8
1
12
8
8
8
18
18
8
16
16
16
16
8
8
16
1
0
16
16
8
8
8
1
1
1
1
1
1
1
1
8
0
0
0
16
16
0
16
16
8
32
18
24
8
8
8
8
8
8
8
1
1
1
1
1
1
1
1
4
4
4
2
16
16
0
0
8
16
16
4
4
4
4
4
8
8
24
16
16
16
16
4
4
4
16
16
0
0
10
8
8
8
0
8
0
0
0
0
0
0
8
16
16
16
16
1
16
16
20
16
16
6
16
0
8
8
24
8
16
16
16
32
33
8
8
0
0
0
0
8
9
16
16
8
4
4
4
4
16
16
16
16
16
4
4
8
8
8
8
4
4
4
4
32
32
32
0
16
1
1
1
0
0
8
8
4
4
8
8
0
8
8
33
16
16
16
8
16
24
16
24
16
16
16
16
16
0
0
0
0
20
16
16
16
16
0
0
0
16
16
0
8
8
8
4
4
4
1
16
52
16
16
16
4
8
8
0
4
8
8
8
0
18
36
16
16
33
0
8
8
2
4
6
8
8
8
8
2
0
32
32
0
16
16
16
2
16
16
8
8
8
8
8
8
8
5
5
5
5
8
8
8
17
4
4
24
24
0
42
42
42
42
42
42
4
2
2
2
2
8
8
16
8
16
16
16
2
2
0
6
6
1
6
2
2
2
2
2
22
1
1
1
8
8
8
8
8
0
44
44
25
25
16
8
0
8
8
1
32
1
8
16
16
16
0
8
8
8
16
16
16
16
16
16
16
16
16
1
1
8
8
16
0
0
8
8
0
1
16
16
16
16
32
0
1
8
1
1
8
8
8
8
2
2
2
2
2
2
9
9
2
0
16
16
16
16
0
0
0
0
0
0
16
16
16
8
1
8
0
0
0
0
12
8
16
16
16
8
40
16
16
8
8
16
0
24
0
0
0
0
0
8
8
0
1
1
16
0
0
0
0
16
16
16
16
0
0
0
0
0
8
8
8
8
8
8
16
16
0
0
16
8
0
16
4
4
4
4
4
4
4
4
8
8
3
3
3
41
41
41
41
8
8
32
8
4
0
0
0
0
8
8
16
16
9
16
8
12
16
16
0
0
0
0
1
1
6
6
8
0
0
8
16
0
8
4
16
16
16
16
16
16
16
0
8
8
8
8
8
8
8
0
8
17
16
1
17
24
32
32
32
18
2
2
1
1
1
1
1
1
1
22
22
22
0
0
0
16
12
16
16
8
8
8
8
8
1
1
18
8
8
16
16
1
1
1
1
1
1
1
0
2
2
2
2
2
2
2
29
8
8
8
8
0
2
16
12
32
32
32
32
24
8
16
24
8
2
2
2
8
8
8
5
5
8
8
8
8
8
8
8
8
1
16
8
4
0
0
0
0
8
20
20
20
20
8
20
0
0
0
0
16
16
16
12
8
8
24
16
16
16
16
16
16
8
8
1
1
1
0
16
32
32
32
32
16
16
1
1
1
1
1
8
8
0
0
0
0
0
0
0
8
11
32
32
23
23
4
4
2
2
2
2
16
8
0
16
16
0
16
8
8
8
8
8
16
8
0
0
0
16
16
4
4
4
4
16
16
16
16
0
0
0
2
2
2
17
1
20
20
20
20
20
0
24
16
8
8
8
8
8
8
9
9
9
8
8
0
0
0
0
16
16
16
16
16
16
16
16
16
0
0
16
16
0
1
1
1
1
8
4
4
16
16
8
8
8
16
2
18
2
8
8
0
0
1
1
1
1
1
0
16
16
16
0
8
8
8
0
32
32
32
32
32
32
16
16
0
0
0
0
8
0
0
8
8
0
0
0
8
8
8
8
8
1
2
16
16
10
1
10
8
8
8
32
32
16
16
16
0
1
1
1
19
19
19
8
2
2
2
24
8
8
0
0
0
0
8
8
4
4
0
0
16
8
8
16
21
16
0
8
8
8
16
16
8
8
0
10
8
16
16
20
20
8
16
16
16
0
0
0
8
16
16
8
16
8
0
16
16
16
16
16
16
16
0
5
1
8
8
8
8
16
16
16
0
2
2
2
8
8
48
56
48
8
8
8
0
0
0
8
8
8
8
8
8
8
8
8
16
16
16
16
16
16
1
0
16
16
16
0
16
24
8
8
8
8
8
8
1
1
1
1
16
0
0
0
0
0
0
24
24
8
40
40
1
1
16
16
16
8
8
8
8
8
8
1
1
4
4
4
0
0
17
17
0
16
48
48
16
0
8
8
8
0
0
0
16
16
24
24
24
24
24
24
24
2
0
2
16
16
16
16
16
0
0
8
39
39
39
39
39
17
17
17
8
0
8
8
8
8
8
8
0
8
8
8
8
8
8
8
0
0
17
8
8
8
8
1
8
8
8
16
4
0
16
16
17
16
16
4
4
4
4
2
2
2
0
0
8
8
0
0
0
0
2
16
0
0
8
8
0
0
0
0
16
16
16
16
8
8
1
32
32
17
16
17
16
16
16
0
32
24
8
8
2
2
2
4
4
4
0
35
59
35
35
35
4
16
16
24
8
8
8
8
8
8
8
8
0
0
0
32
32
0
40
40
32
16
8
8
0
0
0
0
1
1
32
8
2
1
26
8
0
0
0
16
16
16
16
23
0
0
0
0
0
4
8
8
4
20
4
4
8
8
2
2
32
32
16
24
16
16
8
8
0
0
0
16
16
16
16
16
16
16
16
12
4
16
32
32
8
24
8
6
6
6
16
8
8
8
8
41
0
0
8
8
0
16
16
16
16
16
4
4
8
8
8
8
8
8
16
16
16
16
0
8
0
8
8
24
2
8
4
0
16
8
8
0
2
0
8
8
8
8
2
2
2
0
6
4
0
0
0
32
0
8
16
16
0
4
4
0
34
34
34
34
0
0
0
8
16
20
16
16
16
2
4
8
8
8
8
0
16
0
8
19
16
16
16
24
16
40
40
40
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
8
8
0
0
0
0
8
0
0
8
1
1
1
16
16
16
0
0
32
32
32
16
0
0
0
40
40
40
1
1
0
1
8
8
8
0
0
24
0
8
8
2
1
8
8
8
32
37
26
16
8
8
0
16
16
16
0
4
4
8
8
0
0
0
1
4
2
2
1
1
1
1
16
8
8
8
0
0
0
0
32
8
8
8
8
4
12
0
0
0
0
0
0
8
4
4
4
32
4
4
4
0
1
1
1
1
8
8
8
0
0
56
56
56
56
8
16
4
4
32
32
32
32
8
8
8
16
16
16
4
9
9
0
16
16
16
0
0
0
0
0
0
0
4
4
9
9
9
1
16
12
12
12
0
8
8
0
0
8
8
8
8
2
2
2
2
2
0
8
8
0
0
16
8
0
8
8
8
0
8
8
8
8
0
24
24
24
21
21
20
21
21
21
21
16
16
16
16
16
1
1
1
4
0
8
8
8
8
8
8
8
8
32
32
32
1
5
1
1
8
8
8
8
40
40
40
40
40
4
4
4
2
7
0
16
16
16
0
0
16
16
16
8
8
8
0
4
2
2
0
0
0
4
2
2
2
0
0
12
12
16
8
16
9
8
8
2
16
16
26
16
16
0
0
4
4
8
0
0
0
0
0
16
16
32
2
16
0
0
0
16
16
16
8
4
4
4
0
0
0
8
1
1
8
8
8
16
16
16
16
16
16
16
16
0
2
2
2
2
4
4
4
4
4
4
4
4
4
4
0
0
0
8
8
8
1
1
1
1
8
8
8
16
8
8
4
4
16
16
16
24
28
8
0
16
16
16
0
0
0
0
8
8
8
16
16
8
8
32
32
32
16
8
2
2
8
8
12
12
12
8
8
8
16
16
16
0
8
8
8
16
16
16
16
16
16
0
24
24
8
8
8
8
8
0
8
8
8
8
16
1
16
0
16
16
16
16
16
8
8
8
0
8
8
8
0
0
8
24
8
2
48
8
8
16
1
1
1
0
16
16
24
24
1
8
8
8
0
0
0
0
0
4
4
41
41
4
4
0
8
8
8
8
1
16
1
7
7
7
7
1
1
8
0
48
48
48
0
0
8
24
9
8
8
8
8
16
16
16
16
16
16
32
0
0
0
0
0
8
8
8
16
16
16
16
16
16
16
16
16
16
16
8
8
16
2
2
4
16
16
16
16
16
16
16
33
8
8
8
8
8
20
20
8
0
0
4
4
4
4
14
2
2
1
1
1
1
32
32
32
32
32
8
8
8
8
8
8
16
16
16
16
16
8
8
8
10
8
8
8
8
8
8
8
8
8
8
8
8
8
16
16
20
16
16
0
0
4
4
16
48
0
8
8
8
8
4
8
8
24
8
32
32
32
16
0
0
0
32
1
5
1
0
1
1
1
1
1
0
1
1
1
0
0
16
16
0
0
16
16
16
8
8
16
8
16
16
8
8
8
2
2
2
0
0
0
0
0
4
4
4
8
2
2
2
41
0
8
8
2
8
32
4
0
0
0
0
0
0
16
16
8
16
16
16
16
20
20
20
20
1
32
8
8
8
16
16
0
16
16
16
16
8
9
9
4
24
8
24
8
8
8
8
4
8
1
32
0
0
4
4
4
4
4
4
4
4
4
8
8
8
8
8
8
0
16
16
8
1
25
16
16
1
32
1
16
16
16
16
18
18
18
16
16
16
16
0
8
8
16
16
16
16
0
0
16
1
0
2
0
3
3
3
2
2
8
8
8
0
24
24
16
16
0
0
0
0
8
8
8
2
2
4
4
8
8
8
16
16
16
8
8
16
16
16
16
16
16
1
1
1
1
10
8
8
0
34
8
8
0
8
8
0
16
32
32
32
0
0
0
2
2
16
16
16
16
16
1
1
16
17
17
4
4
4
4
4
4
4
0
0
0
0
0
16
16
16
4
0
8
8
16
16
16
0
0
2
2
2
2
2
2
2
2
2
0
0
4
4
8
16
16
1
1
1
1
1
1
1
1
0
0
8
8
8
8
8
8
8
16
16
8
0
4
8
8
8
8
8
8
8
8
8
8
8
32
32
32
8
8
8
8
8
8
8
6
6
6
6
2
0
8
24
0
0
0
0
0
0
3
56
2
2
0
16
0
0
0
0
16
16
16
16
8
8
1
4
8
0
0
0
16
16
16
0
0
37
37
37
8
8
8
8
16
8
16
16
8
8
8
8
8
4
4
4
32
0
0
0
0
16
16
16
16
16
16
16
16
0
16
16
0
0
0
0
8
8
8
8
8
8
0
0
0
16
16
2
0
24
16
0
0
16
16
16
16
9
9
0
0
0
1
1
1
1
16
16
16
24
16
16
16
8
8
8
8
8
8
8
0
8
8
8
8
8
8
0
0
0
0
8
8
16
16
0
0
8
8
16
16
16
16
4
4
4
4
4
2
32
32
32
32
32
4
4
16
16
16
8
8
0
0
0
0
0
32
0
3
12
4
12
16
16
1
1
8
16
24
0
0
18
8
8
0
0
0
8
8
8
8
0
8
0
0
2
2
3
2
0
0
0
0
0
0
0
0
0
4
12
4
4
8
8
8
8
12
0
1
1
0
0
0
4
0
0
0
0
16
8
8
8
8
0
0
2
2
2
2
0
0
0
8
16
16
16
16
16
16
2
0
0
16
16
16
16
16
12
4
4
4
8
4
0
4
4
4
8
8
8
8
8
0
8
0
16
16
16
16
16
8
2
16
16
24
16
0
0
16
16
16
8
8
16
8
12
12
18
10
2
8
2
2
60
8
16
16
16
16
16
32
16
16
16
8
8
18
18
18
18
8
0
0
0
8
8
8
4
4
4
16
16
1
1
1
20
16
12
1
1
1
8
10
32
32
32
4
4
6
8
12
16
8
16
16
16
16
8
8
16
16
16
16
0
0
2
2
0
32
8
8
8
4
4
4
4
4
4
24
21
8
8
8
8
8
8
8
8
8
8
16
16
16
16
8
28
28
28
8
16
16
16
0
4
4
8
8
16
9
9
9
0
0
0
0
8
16
16
8
8
8
8
8
8
8
16
4
8
8
16
19
16
40
40
40
1
46
32
8
49
49
49
49
49
49
49
49
49
49
49
49
49
49
48
48
48
48
48
48
48
48
48
16
16
16
16
16
16
16
4
4
4
4
8
8
8
8
4
16
16
16
8
8
8
8
8
8
8
12
12
0
16
8
4
4
4
4
1
1
0
24
24
8
8
0
24
16
16
16
16
16
16
0
8
0
0
16
16
4
2
16
0
0
0
0
0
0
4
4
4
4
4
0
0
16
16
24
8
32
32
32
32
1
8
8
8
16
16
16
16
16
16
16
0
0
16
16
8
8
8
8
0
0
16
16
16
1
9
1
2
2
4
1
8
24
24
0
0
16
4
4
2
0
0
8
8
8
8
0
0
0
0
0
0
8
16
16
4
4
4
4
32
2
39
39
0
0
0
8
8
8
0
8
8
8
0
0
0
0
0
16
16
16
16
16
12
12
12
12
8
8
8
8
0
0
0
16
16
16
16
16
16
8
16
0
0
0
0
32
0
0
24
16
16
4
4
4
0
0
8
8
16
8
8
8
8
8
0
0
24
24
24
1
1
1
1
1
1
1
61
61
3
4
53
0
26
16
16
16
4
4
4
4
4
4
8
8
8
16
16
2
16
16
16
1
1
16
24
4
8
0
0
0
0
4
1
8
8
8
8
9
9
8
8
8
8
8
1
1
1
5
8
8
1
1
16
16
48
0
24
24
16
32
32
2
2
2
0
32
32
24
24
24
8
16
8
8
8
32
32
0
2
16
16
16
16
8
8
8
16
8
8
8
8
0
0
0
0
2
8
16
16
16
16
16
16
4
4
16
16
16
16
32
8
40
40
0
0
16
16
16
16
0
0
8
16
8
40
0
38
4
4
32
32
32
32
0
0
0
27
1
8
8
8
8
0
16
34
50
0
16
16
16
16
0
32
32
8
8
8
8
8
8
8
8
4
24
1
0
0
4
4
8
24
0
0
0
8
8
0
0
0
2
2
0
0
0
0
0
0
8
17
32
32
16
4
1
1
1
1
32
8
8
8
16
8
8
8
4
4
4
20
20
40
8
0
8
6
32
24
0
16
16
16
0
0
8
8
8
16
16
16
8
8
16
16
16
16
4
20
20
4
0
8
8
8
8
8
8
8
8
8
8
8
8
8
16
16
16
16
16
0
0
0
8
2
17
17
0
0
0
0
0
8
8
0
0
8
8
8
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
4
4
4
4
4
8
8
8
8
16
45
0
1
1
1
0
20
20
0
1
1
1
16
20
16
16
24
16
4
4
4
4
4
4
4
4
4
4
12
12
8
8
8
8
8
16
8
24
24
16
16
16
16
16
16
1
1
1
0
8
0
0
0
0
8
4
4
4
4
4
24
24
24
0
0
0
8
8
0
16
16
8
7
7
0
24
16
16
16
8
1
4
0
0
16
8
8
8
8
8
8
8
8
8
8
24
4
8
16
24
16
16
16
0
0
0
0
8
8
0
50
50
50
50
50
16
16
16
0
0
0
0
0
4
8
2
0
0
8
16
16
0
0
8
16
8
8
8
8
8
8
1
8
8
8
8
24
1
1
18
18
2
2
2
2
2
4
16
16
24
0
8
1
1
1
1
1
8
8
8
20
8
4
16
16
16
16
16
32
32
32
32
8
8
8
1
1
1
1
0
0
0
0
0
16
20
16
0
16
16
16
8
8
0
8
8
4
4
4
8
8
8
8
8
8
8
40
40
8
48
8
8
8
8
8
8
0
1
8
8
8
4
8
8
8
8
18
18
16
16
16
16
0
0
8
8
8
4
0
2
4
16
16
16
16
16
0
0
0
0
8
8
8
0
0
4
16
16
16
16
9
9
16
16
17
0
8
8
8
6
0
0
24
16
16
16
9
1
25
0
0
16
24
24
4
8
16
16
16
12
16
8
0
16
29
13
0
0
0
16
16
16
16
16
2
2
2
1
1
1
8
0
8
8
0
8
8
2
0
0
16
0
0
16
16
16
16
16
16
16
24
0
1
1
1
1
0
0
1
0
16
16
8
8
8
8
8
8
8
8
8
8
8
8
0
16
16
16
16
16
16
16
16
16
16
16
16
10
10
10
8
48
48
0
0
8
0
0
0
0
4
4
4
4
8
4
2
4
0
0
16
16
16
16
16
4
4
0
0
16
16
16
0
1
32
32
32
0
0
1
1
1
1
1
8
8
8
8
8
2
2
2
8
8
8
8
8
8
16
0
0
0
8
8
8
8
2
2
0
0
0
32
24
24
8
16
24
24
24
2
0
0
8
8
8
8
8
8
8
8
18
26
8
16
16
16
8
8
16
8
8
8
16
16
0
24
8
8
16
16
16
27
32
58
0
8
0
0
8
0
8
8
8
8
8
8
8
32
24
24
0
8
8
4
8
16
16
16
16
8
16
0
0
0
0
8
8
8
8
8
8
8
8
8
16
16
4
4
4
4
0
8
8
8
0
16
2
2
1
1
8
4
4
1
1
24
8
16
0
24
24
2
2
2
8
8
8
0
2
2
2
32
32
0
0
0
32
32
32
32
24
8
16
16
16
16
4
4
16
0
6
18
18
16
8
1
4
4
4
16
8
8
1
8
8
16
16
28
28
8
8
8
8
8
1
1
2
4
32
32
0
8
32
8
16
16
16
0
1
8
8
8
8
0
8
8
8
8
8
0
0
4
4
4
0
8
0
2
6
6
6
2
2
2
8
0
0
32
32
8
32
32
32
0
0
0
8
8
9
9
4
0
8
0
0
0
0
4
8
0
8
4
2
16
28
24
4
4
4
0
0
8
8
8
8
8
8
8
8
0
2
1
1
1
0
16
1
16
16
16
16
16
16
16
0
0
0
1
8
8
8
0
0
0
0
8
8
8
16
16
8
8
8
8
8
8
8
8
0
0
5
5
5
8
8
8
0
0
3
2
2
32
32
48
2
2
1
1
1
8
8
1
4
4
0
32
8
8
8
8
8
8
8
8
0
0
0
0
0
1
0
0
8
0
4
16
16
8
0
32
32
32
4
12
4
4
4
4
4
0
0
8
8
24
8
0
0
0
8
2
2
2
2
2
2
2
2
2
2
2
2
2
2
16
8
32
8
8
8
8
8
8
16
16
0
0
8
8
8
8
8
0
0
32
14
14
14
14
0
0
10
2
16
16
16
16
2
2
2
2
1
8
8
16
4
0
0
0
0
0
0
8
8
8
16
16
16
16
16
16
8
21
21
21
4
16
16
0
4
4
4
4
0
18
8
0
0
0
48
16
16
16
8
2
2
2
2
2
2
2
2
2
2
0
8
12
17
16
16
4
16
1
1
8
8
8
8
8
8
8
12
0
2
2
0
0
8
16
1
16
8
0
8
16
16
4
0
8
4
16
0
4
4
4
4
4
8
16
0
0
2
18
2
2
2
0
0
0
2
2
2
2
2
2
4
0
0
8
2
2
0
4
0
0
0
0
0
0
8
8
32
32
16
16
16
32
32
2
2
2
2
0
0
8
16
4
0
0
0
12
1
1
1
1
1
1
1
8
8
8
8
8
16
16
16
16
0
8
0
4
0
20
16
0
8
8
8
2
12
4
4
4
4
4
4
4
4
4
9
4
4
4
8
8
8
8
8
8
16
8
8
8
0
8
8
8
8
8
2
2
2
2
2
2
2
2
2
8
8
16
32
24
16
32
32
32
32
16
4
0
0
8
16
10
0
0
0
0
0
0
0
8
8
8
8
16
0
24
24
24
16
2
2
2
8
8
8
16
16
2
8
8
8
16
2
6
2
2
16
16
16
16
8
8
8
8
8
8
8
8
16
16
16
4
1
1
8
16
16
8
4
4
0
0
16
16
16
0
0
0
0
0
4
4
4
12
8
8
8
8
8
8
8
8
8
16
16
16
0
0
0
8
8
8
4
12
4
4
4
4
4
2
2
16
16
1
1
8
8
8
8
12
32
32
32
24
24
24
24
24
0
8
16
16
16
8
8
8
16
16
2
16
2
2
8
8
8
8
8
8
8
8
8
8
12
8
24
16
16
16
0
0
8
16
8
0
0
0
8
12
12
8
11
16
0
8
16
16
16
22
16
16
24
16
16
16
16
16
16
16
16
16
16
0
4
22
30
30
4
32
0
8
16
24
16
8
9
9
4
16
16
16
16
16
16
16
16
32
32
0
0
16
8
8
0
8
8
8
16
0
0
12
12
0
0
0
0
0
4
16
16
8
24
24
24
8
8
32
32
8
40
16
10
0
0
0
0
0
16
8
8
16
24
17
1
8
8
2
24
0
8
4
24
16
0
17
17
17
17
16
1
1
4
8
8
16
4
4
20
24
24
8
16
16
0
1
4
0
0
16
16
4
4
4
0
20
16
4
28
8
1
1
0
8
0
8
16
1
17
2
1
1
1
1
1
1
32
32
32
32
32
1
12
1
8
4
4
4
16
1
1
1
0
8
18
18
33
1
1
1
1
1
16
2
2
2
2
8
8
8
8
8
8
10
10
0
17
17
17
17
17
0
0
0
0
16
16
2
2
2
8
8
8
8
32
32
32
32
32
12
8
0
0
16
16
9
2
0
32
32
32
0
8
4
8
0
0
0
0
0
0
16
16
4
4
4
16
20
20
4
4
8
16
3
6
32
32
32
2
8
8
24
8
0
22
2
8
8
8
4
4
0
0
16
16
0
8
32
32
16
16
16
8
8
4
8
8
4
8
0
0
0
0
2
2
0
8
2
2
26
26
8
24
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
8
0
0
0
0
8
4
4
0
16
16
16
16
8
8
0
8
16
16
16
1
1
1
0
9
8
8
1
8
4
4
16
16
16
16
16
16
16
16
16
8
8
8
0
2
2
2
2
2
2
2
2
8
3
8
8
8
16
2
0
0
0
0
8
0
1
1
1
8
1
1
8
8
8
8
8
8
0
0
0
0
8
8
0
9
0
8
8
8
4
16
24
24
0
4
2
2
9
6
16
10
0
24
16
16
8
8
8
16
16
16
0
16
16
16
0
16
24
2
8
16
16
8
8
8
8
8
8
0
0
0
0
0
8
8
24
8
8
8
8
8
8
24
24
0
0
16
16
16
16
16
8
0
0
2
0
4
0
0
0
0
0
16
16
8
8
8
8
22
22
22
22
8
8
8
24
16
16
16
18
18
8
16
16
16
33
33
33
24
24
4
4
4
4
4
4
4
16
16
2
4
4
4
4
4
4
4
4
4
4
4
16
16
16
16
16
16
16
16
16
16
0
8
8
8
0
0
0
8
8
24
0
0
12
8
8
8
0
8
0
0
0
0
0
0
0
8
8
51
17
16
16
8
2
2
2
2
8
8
16
16
16
16
16
16
16
16
16
16
32
2
2
2
2
2
2
2
2
0
8
0
0
8
16
2
0
0
16
4
8
8
16
16
0
16
16
2
2
2
2
0
8
8
8
8
8
8
8
8
16
49
49
49
17
17
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
12
0
0
0
8
8
0
0
8
8
32
32
32
0
0
0
2
34
2
2
2
16
16
6
6
16
6
34
8
8
24
8
8
8
8
8
8
8
8
8
8
16
16
18
0
1
17
12
12
12
12
0
0
0
0
0
0
0
0
0
8
8
2
0
0
0
16
8
8
8
8
8
0
0
2
2
16
18
16
16
1
1
1
1
8
8
8
16
16
0
8
8
8
16
16
16
26
24
16
12
12
16
16
16
1
1
1
2
2
2
2
2
2
16
16
8
1
16
17
1
16
16
16
40
1
1
8
0
8
8
8
8
8
16
16
16
24
8
8
8
8
8
8
16
24
0
0
4
4
4
0
32
32
3
4
1
1
4
16
16
8
24
8
8
8
0
8
8
8
20
16
16
8
16
0
0
16
16
0
8
8
8
8
8
8
8
0
0
0
0
4
4
4
4
8
4
4
48
48
48
48
32
16
16
16
16
16
8
8
8
8
8
8
16
0
0
4
4
8
0
0
32
32
32
32
32
8
8
1
1
2
2
2
2
0
32
32
32
32
2
2
0
1
1
1
1
1
8
8
8
8
13
16
16
16
0
0
0
0
16
16
16
16
32
32
0
16
28
28
16
8
8
16
16
16
17
16
20
20
20
20
16
8
16
8
8
4
4
4
4
16
8
8
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
8
8
8
16
2
2
2
2
16
0
0
0
4
4
4
4
16
16
8
8
8
8
8
8
17
0
0
0
4
4
2
2
0
8
8
2
2
2
16
8
8
8
32
32
0
1
1
16
4
32
32
32
0
0
16
16
0
0
2
2
8
8
0
0
1
8
16
0
8
16
16
24
8
6
6
6
3
3
8
8
8
9
1
1
1
1
1
1
1
8
16
1
0
8
8
32
32
0
0
17
9
8
1
8
38
38
38
16
16
16
0
0
40
16
16
16
0
0
0
0
0
0
0
8
2
2
2
2
2
2
1
1
1
0
1
8
8
8
16
16
16
0
8
8
5
16
8
8
0
4
4
4
50
18
18
0
0
0
0
0
8
8
8
8
1
1
1
48
16
0
2
2
2
16
8
16
16
14
6
8
4
8
8
8
24
24
24
24
2
2
2
8
0
24
24
4
4
0
0
0
4
4
4
0
2
2
2
2
2
13
13
13
0
16
16
16
16
16
16
0
16
16
16
32
32
32
32
32
32
32
8
16
24
24
1
2
1
1
1
1
16
16
16
16
16
16
16
16
2
2
2
24
12
8
8
16
16
17
1
0
0
8
8
24
16
16
8
4
25
25
25
25
25
25
25
25
8
8
24
0
0
0
8
8
8
8
8
16
1
1
1
16
16
16
0
8
8
8
8
8
0
4
4
4
4
4
4
4
4
4
0
0
0
0
8
8
2
8
0
0
8
8
16
35
16
16
16
8
2
2
2
2
2
17
16
16
16
16
16
8
8
1
12
24
8
8
1
24
0
8
9
9
8
8
0
6
16
6
4
16
16
16
16
16
4
4
4
8
16
3
2
2
8
16
16
8
2
8
8
1
1
1
1
0
0
0
0
0
12
40
16
21
4
4
4
4
4
0
16
16
16
8
8
8
16
16
16
16
16
16
16
2
0
0
48
8
8
8
8
8
8
8
8
8
8
0
1
9
9
9
16
4
0
0
8
4
4
8
8
8
25
17
8
8
8
8
0
0
8
8
8
8
8
8
8
8
22
24
24
0
0
4
1
1
1
1
1
1
16
16
17
16
16
16
0
24
24
0
4
8
8
8
8
16
8
4
4
4
4
8
8
8
24
24
8
8
1
1
1
8
8
4
4
4
4
4
8
0
8
8
8
16
16
16
16
8
8
1
4
4
4
24
24
0
16
16
16
2
2
2
2
8
8
8
1
1
16
16
16
48
48
16
4
28
8
4
4
4
4
8
8
8
8
8
8
8
8
8
8
2
2
16
8
8
9
9
9
9
0
0
1
8
8
1
16
25
0
10
10
10
16
16
0
2
8
10
0
0
0
0
2
56
16
8
28
16
2
2
8
30
4
8
8
8
8
8
0
0
8
0
0
57
57
0
24
24
1
24
0
0
0
0
0
0
0
16
4
4
4
4
4
4
4
4
4
4
4
16
16
16
0
0
1
17
0
0
2
2
2
2
2
16
16
16
16
0
17
17
17
17
17
8
8
8
20
0
8
8
8
8
8
8
8
0
1
1
16
16
16
8
8
8
8
8
8
8
8
8
8
8
1
0
0
8
1
4
4
4
4
4
4
4
4
4
4
8
16
16
12
4
4
2
2
2
0
0
8
8
0
8
8
8
8
8
8
16
16
16
16
32
32
32
4
4
0
16
16
16
16
16
8
8
8
8
8
0
0
1
1
1
1
1
1
2
2
0
8
8
8
8
0
0
8
8
8
4
8
8
8
16
16
16
4
1
4
0
0
0
16
16
8
16
16
1
0
8
8
1
33
16
16
32
32
0
8
8
8
8
8
32
32
32
32
4
4
16
16
16
1
16
16
16
16
20
8
8
8
8
32
32
32
32
32
50
50
50
0
8
16
16
0
8
0
0
49
49
1
1
1
4
0
16
16
48
21
1
1
8
4
26
8
8
8
8
8
0
8
0
1
0
1
1
13
16
26
16
16
16
16
16
16
16
16
16
8
16
0
8
8
8
8
36
36
36
36
36
0
4
4
8
8
0
17
8
8
0
1
1
13
8
1
1
2
0
0
32
32
17
17
17
17
0
16
8
16
4
4
4
8
4
4
28
28
8
0
0
0
0
0
0
8
8
0
24
8
4
24
0
57
57
8
8
8
8
8
8
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
8
0
4
5
5
5
8
8
8
8
8
16
16
1
0
0
8
8
8
8
16
16
8
8
8
0
0
0
0
0
0
0
8
8
8
0
0
8
16
8
16
8
8
8
8
8
8
8
4
4
4
4
4
16
24
24
8
8
8
8
0
41
8
8
8
0
0
0
0
0
32
32
16
1
16
19
0
1
0
0
24
40
0
0
8
16
1
16
16
16
8
8
8
8
8
8
16
16
16
16
16
16
16
16
1
17
16
16
0
0
0
0
0
0
1
1
1
1
8
8
8
16
16
16
8
8
1
8
0
0
0
0
1
1
1
1
8
9
8
8
0
0
0
0
8
4
5
5
1
24
24
0
0
0
0
0
8
8
8
4
4
4
4
4
4
0
0
0
0
8
8
16
16
8
8
8
8
8
0
0
0
24
24
24
24
0
16
16
22
0
0
0
1
0
0
4
4
4
8
29
1
17
17
17
17
16
16
16
16
0
1
1
1
0
16
1
32
33
33
0
0
8
4
0
8
16
32
16
16
20
0
0
8
4
4
1
49
49
1
1
1
1
1
1
1
1
1
1
1
1
1
1
16
16
16
8
8
0
16
20
16
24
24
16
8
8
8
2
2
0
25
8
19
3
8
8
8
8
0
12
16
16
0
0
0
1
1
16
1
17
17
17
1
8
8
16
16
16
3
8
0
0
0
16
2
2
2
16
16
16
8
0
0
1
1
1
1
0
0
8
8
8
8
8
8
8
0
0
0
8
4
4
10
0
28
4
4
4
4
0
16
16
1
52
4
4
4
24
24
24
24
16
16
16
16
0
0
4
4
4
0
0
16
17
16
0
0
4
8
12
12
12
12
12
1
3
3
3
8
8
8
8
8
8
0
8
16
0
16
16
16
8
8
8
8
16
16
4
4
4
1
1
2
20
0
0
0
1
0
0
4
21
16
8
8
8
8
5
5
5
5
8
8
8
8
6
6
6
16
16
16
16
1
0
8
8
0
22
8
22
22
2
2
2
2
0
16
16
8
0
0
24
24
8
8
8
8
8
8
8
8
4
16
16
16
0
0
8
8
8
16
16
2
8
1
24
16
8
40
40
32
0
0
16
24
24
0
0
0
32
24
24
24
16
24
0
0
8
8
8
18
0
0
0
16
16
16
16
16
16
0
8
0
0
0
8
16
16
4
1
1
16
19
19
0
0
0
16
16
16
44
44
44
8
8
1
1
8
8
4
16
16
0
0
0
16
16
8
8
8
8
8
8
17
8
0
0
0
24
8
8
8
8
1
1
0
16
0
0
0
0
0
0
0
0
32
0
0
8
8
8
8
8
0
32
32
32
6
6
4
2
16
16
2
8
8
8
8
8
8
24
8
0
1
0
8
24
24
24
24
16
16
16
8
8
8
8
16
16
16
0
0
0
0
0
0
32
4
4
16
0
8
0
0
0
0
4
4
4
0
0
0
8
8
8
8
8
0
0
0
0
8
0
0
0
0
0
0
1
0
12
4
4
0
0
8
16
16
16
16
16
16
16
0
0
8
8
8
8
2
2
30
30
16
0
0
0
0
0
0
16
16
18
18
18
2
10
2
2
20
16
12
2
8
0
9
1
8
24
0
4
4
4
4
16
16
8
8
8
8
8
8
8
0
0
8
8
8
16
16
16
17
17
8
8
0
0
0
0
0
16
16
16
16
16
2
2
2
2
2
2
9
9
9
9
9
4
4
0
0
0
16
4
4
4
4
0
0
0
0
8
8
8
8
16
16
16
8
8
8
8
8
0
0
32
49
1
17
8
4
24
24
0
24
24
0
0
0
4
4
16
16
48
48
48
16
16
16
8
8
8
16
16
16
16
0
8
8
8
8
8
9
1
1
4
4
4
4
4
4
8
0
0
0
16
0
0
12
12
12
12
12
0
0
8
8
8
16
16
16
16
16
0
0
8
0
0
0
8
8
8
0
0
0
0
0
0
1
16
16
0
0
16
0
8
8
8
8
32
32
8
8
8
8
8
8
0
4
4
0
8
8
0
0
0
32
32
32
32
18
18
8
2
2
8
4
12
4
4
0
0
8
0
0
16
8
8
8
2
2
1
1
32
32
32
16
16
16
16
0
28
28
16
8
8
8
16
8
8
0
0
0
0
0
16
16
2
2
2
2
2
0
0
0
8
8
16
1
16
16
1
3
4
8
8
0
4
4
4
4
4
4
4
4
4
8
8
8
8
8
16
8
0
8
8
8
4
24
24
16
8
8
16
16
1
1
1
8
8
8
16
16
16
16
32
32
0
0
32
32
0
8
8
8
8
8
0
0
8
8
8
8
8
0
0
0
16
16
16
0
0
0
0
0
28
28
28
28
32
4
4
4
0
0
8
33
33
33
33
1
1
1
16
16
16
8
32
32
32
57
41
41
8
8
8
10
10
0
0
8
8
8
0
0
0
0
0
0
0
8
8
16
8
8
32
2
2
0
0
24
24
24
24
24
16
16
0
0
2
1
4
16
16
16
16
16
16
16
0
8
8
8
8
8
8
8
4
0
0
52
8
0
0
0
16
0
0
0
0
16
16
16
4
4
4
4
10
10
17
25
16
1
1
2
0
8
0
0
0
0
0
8
8
23
23
17
17
8
0
0
2
19
16
16
16
32
32
32
32
25
16
1
1
0
0
16
16
16
16
4
4
20
0
16
16
4
2
2
2
2
24
0
0
0
16
4
0
0
0
1
1
2
8
24
16
16
16
16
16
16
16
16
8
24
8
4
4
4
4
16
16
8
8
4
1
1
1
1
2
2
2
8
16
16
48
8
0
8
2
2
16
16
2
2
0
10
10
8
8
8
4
4
8
8
8
8
16
0
0
0
16
16
16
16
16
16
1
1
1
1
1
1
8
8
8
0
0
0
0
8
32
32
32
32
8
0
0
8
8
8
8
16
8
24
16
16
16
16
16
0
8
16
16
16
0
24
8
8
16
16
16
16
16
8
8
8
0
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
16
16
0
0
0
0
0
8
8
8
8
8
16
8
8
8
8
8
8
8
0
0
0
8
0
0
8
8
8
8
8
8
8
8
8
1
0
8
8
8
4
8
8
12
12
2
16
16
16
0
16
16
16
16
0
16
16
16
16
8
8
20
20
16
0
16
16
8
8
8
18
0
4
8
24
8
0
16
16
8
0
16
16
16
40
40
24
24
24
0
2
8
8
8
8
0
0
0
8
8
8
16
8
24
52
52
4
0
0
16
16
16
0
0
0
4
4
1
1
1
0
2
16
16
16
4
4
0
2
2
2
2
8
1
1
48
48
48
48
16
16
0
0
0
12
0
0
8
8
1
1
1
1
1
4
20
8
8
8
8
16
0
0
0
0
8
8
8
1
0
0
0
2
10
2
16
16
2
16
2
16
16
16
16
4
4
4
4
4
4
0
16
16
0
0
16
1
16
0
0
16
16
16
16
16
16
0
8
0
0
2
2
8
8
2
2
16
2
18
18
8
8
8
8
8
8
2
2
24
0
8
6
2
8
8
8
8
16
16
1
1
8
8
0
8
8
8
8
0
8
0
8
8
20
20
20
25
24
16
4
1
16
0
0
0
0
0
8
8
12
12
8
0
8
0
0
0
0
0
0
4
16
8
16
16
16
16
16
1
0
8
8
8
8
8
0
0
0
0
8
24
24
8
24
24
8
0
0
0
33
8
8
0
0
0
0
0
1
1
1
1
1
16
16
16
8
34
58
34
0
0
0
0
0
0
8
2
1
1
3
1
2
1
1
0
0
32
2
2
16
16
16
1
1
2
0
8
8
9
16
16
16
16
8
8
8
0
16
16
16
8
8
0
0
0
8
0
0
0
0
8
8
8
0
8
8
5
4
4
4
4
1
8
8
2
2
2
4
4
4
4
4
0
8
8
8
8
8
8
8
8
8
0
8
8
8
8
8
0
1
1
1
24
24
16
16
0
0
8
8
8
8
16
0
16
16
8
8
2
2
0
32
57
0
0
0
0
8
8
8
8
8
8
8
8
8
8
18
18
18
0
0
0
17
16
8
40
8
8
0
32
3
2
2
5
5
5
8
28
8
8
8
8
8
8
0
24
24
8
2
8
8
16
16
16
16
16
16
16
16
12
12
12
0
0
16
8
0
0
0
16
16
16
16
16
16
16
2
2
8
0
0
0
4
4
0
16
8
8
8
2
6
8
8
8
0
8
8
24
24
24
24
16
2
18
18
18
18
8
16
8
8
8
8
8
8
0
0
16
16
16
16
16
16
16
16
16
16
16
16
16
8
8
8
0
0
0
0
0
8
8
8
8
8
8
8
0
0
0
32
8
8
8
8
8
8
8
0
8
8
8
4
4
0
8
0
4
4
8
8
24
8
8
8
8
8
16
16
16
16
8
8
8
8
8
8
8
8
0
0
0
8
1
1
16
16
8
8
8
8
8
24
24
16
8
8
8
2
16
0
16
16
8
8
1
1
8
8
16
16
0
0
0
16
16
16
16
8
16
0
0
24
8
8
0
0
0
0
0
1
8
8
8
8
36
16
16
8
8
8
16
16
16
16
16
16
16
16
16
17
16
16
16
16
16
32
32
32
32
32
32
8
36
36
4
4
4
4
4
4
4
4
4
16
16
1
1
0
1
1
1
16
16
24
8
4
8
8
16
52
0
0
0
0
8
8
8
16
20
16
16
8
8
8
8
20
20
8
8
8
8
8
8
2
2
2
2
2
2
8
0
0
2
2
2
2
2
8
8
8
8
8
8
0
0
0
0
16
0
0
8
8
8
8
16
4
4
16
9
8
8
0
8
8
8
8
0
1
2
2
2
2
2
0
0
8
0
32
32
0
8
8
8
8
0
16
16
4
4
0
0
0
0
0
0
8
16
8
8
56
8
8
16
8
8
8
8
0
0
16
8
8
8
2
0
0
2
24
8
4
0
32
32
0
0
16
16
16
16
16
16
16
1
16
20
4
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
4
0
0
0
13
0
16
8
8
8
49
1
1
1
0
0
0
0
0
8
0
0
8
8
0
0
12
12
12
16
16
18
8
8
8
8
16
0
0
8
8
0
0
8
2
2
0
0
0
0
0
0
0
0
0
4
4
4
4
4
4
4
4
4
16
16
4
4
4
2
2
2
4
4
8
8
8
8
8
8
8
8
8
8
0
8
1
2
2
2
0
16
8
0
0
0
16
16
16
16
16
33
51
51
51
16
16
16
0
16
16
8
8
8
1
2
2
0
0
0
0
4
4
4
4
16
16
16
1
1
16
16
16
16
4
4
0
0
0
24
0
32
32
4
0
16
16
0
0
0
0
0
16
16
16
8
8
8
4
2
4
4
4
4
20
4
4
4
4
4
0
0
32
8
32
32
40
44
32
32
1
1
1
16
16
0
16
8
8
8
16
16
8
8
8
8
8
8
0
3
1
2
2
2
1
0
8
0
16
16
16
16
16
8
16
16
16
16
16
16
16
8
8
8
0
1
1
1
1
4
0
0
0
0
0
8
8
0
8
0
0
0
0
6
17
16
2
8
8
8
8
16
0
0
0
0
0
0
0
35
35
35
35
0
8
8
8
8
8
0
18
1
1
1
1
1
1
1
0
1
1
0
8
8
0
8
8
8
8
16
0
0
8
8
8
0
8
0
2
2
24
24
8
8
8
8
8
8
8
8
0
0
0
16
0
0
4
4
1
17
4
8
18
18
0
20
0
0
0
4
4
5
0
0
0
8
8
8
8
8
3
1
3
1
8
8
1
1
1
2
8
8
0
0
8
8
8
16
16
16
8
8
8
8
4
4
4
0
32
32
32
32
4
4
4
8
8
8
8
0
0
0
16
2
2
2
2
1
0
32
8
8
0
8
8
0
0
0
0
2
2
0
8
0
0
0
2
16
16
16
8
12
12
0
0
0
0
1
0
0
0
1
8
8
8
8
8
18
2
0
1
1
1
0
10
2
2
2
2
2
2
2
8
9
9
9
9
4
4
4
0
1
16
0
1
1
16
16
16
0
2
2
2
8
8
8
8
8
8
8
0
32
32
4
4
4
4
4
24
24
0
0
16
16
16
16
16
16
16
2
2
2
2
2
2
2
16
16
0
4
4
4
4
27
0
0
8
9
8
8
8
8
8
8
8
8
1
1
1
16
16
16
16
32
32
20
20
20
20
1
17
0
0
60
24
24
8
0
0
8
8
12
8
8
2
2
2
2
8
8
0
0
12
8
8
8
8
8
8
8
8
4
4
4
4
4
1
16
20
16
0
0
16
16
16
16
16
28
16
16
16
16
16
16
16
16
16
16
16
16
8
16
16
1
1
1
1
2
2
2
8
8
0
8
4
16
16
16
16
16
16
16
16
16
16
16
16
4
4
4
4
8
8
32
0
0
2
2
2
0
8
17
16
4
0
4
8
8
1
16
16
16
1
16
0
0
0
0
0
0
0
0
16
16
16
17
8
8
0
41
16
24
16
8
8
0
16
8
8
1
1
1
1
1
0
16
0
4
8
8
8
0
8
8
8
8
16
8
16
16
16
8
8
8
18
32
41
1
1
1
0
24
8
17
17
17
32
32
32
8
8
8
8
8
8
8
8
8
0
0
8
0
8
8
8
16
16
16
16
16
16
48
48
48
8
16
16
8
8
8
8
25
16
30
16
16
16
0
8
8
8
4
4
4
4
4
4
9
9
8
8
8
0
0
0
0
0
0
2
0
8
0
0
0
0
0
1
1
8
1
17
4
4
16
8
8
8
8
8
8
8
3
20
20
20
20
16
16
8
8
8
8
0
0
0
0
0
0
0
8
8
16
16
0
0
0
0
0
16
16
16
0
0
0
0
16
16
16
16
16
0
8
16
16
8
8
8
0
0
24
16
16
16
16
20
16
16
16
4
20
0
8
8
0
0
16
16
16
16
16
16
16
16
16
16
16
16
16
1
1
2
2
2
0
0
0
8
9
9
9
32
32
16
33
41
33
0
0
1
1
8
8
17
16
16
16
24
16
16
1
9
1
1
2
24
24
24
8
8
1
1
1
1
1
1
16
16
16
13
13
8
8
8
4
20
16
16
48
16
16
16
2
10
16
10
10
4
4
4
2
2
2
2
2
2
8
8
8
8
18
2
8
0
0
0
0
0
0
0
8
8
8
8
0
8
8
8
8
0
8
8
8
8
0
0
0
0
0
16
16
8
8
8
16
16
17
8
0
16
16
16
16
2
2
2
2
2
2
2
0
0
0
16
0
0
58
4
34
34
32
8
8
1
0
16
16
16
8
8
8
8
8
8
8
8
0
8
8
8
8
8
8
8
8
1
8
8
8
16
0
0
8
8
8
8
20
8
16
16
16
8
8
8
8
8
8
0
0
16
16
0
0
8
8
32
32
0
16
16
0
16
16
16
4
4
4
4
4
4
2
2
2
2
2
8
8
16
16
16
16
16
16
1
8
8
13
13
1
32
0
16
0
0
0
4
4
17
17
16
16
16
0
8
16
16
16
4
0
4
8
4
4
4
4
4
0
1
16
16
2
2
8
8
8
16
16
16
16
2
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
16
16
16
0
8
8
12
8
0
0
8
0
0
0
0
20
20
20
8
8
8
1
8
8
8
8
2
2
8
8
0
0
8
1
1
0
0
0
0
0
0
1
1
1
16
16
4
4
2
2
2
8
8
8
8
8
8
8
16
16
0
28
8
0
0
4
4
4
0
24
24
32
32
32
22
0
16
16
16
8
4
4
4
4
4
5
16
16
2
2
2
2
0
0
0
17
1
1
0
16
0
0
0
2
0
52
52
52
8
16
0
8
8
8
8
10
8
8
8
8
8
8
0
0
0
0
0
6
16
8
16
0
1
18
0
17
17
17
17
6
4
2
4
4
8
8
2
3
3
3
8
8
16
8
8
8
8
8
8
0
0
0
8
8
8
8
8
8
4
16
16
16
16
0
42
2
2
2
2
6
6
30
8
16
24
8
1
1
16
20
16
16
16
0
16
16
8
8
8
8
0
39
39
39
0
0
8
0
16
16
16
8
8
8
8
16
16
16
16
8
32
32
32
32
0
0
20
20
20
16
1
1
1
1
1
32
0
16
16
16
16
8
8
8
8
4
14
8
4
4
4
6
6
4
0
1
1
1
0
8
8
8
8
8
8
8
0
8
21
21
1
8
8
2
8
8
8
4
8
0
0
0
26
24
8
0
35
35
16
16
16
2
2
2
8
0
16
16
16
1
1
1
1
1
16
16
0
4
4
0
16
23
16
16
16
16
16
16
16
0
0
0
16
16
8
8
8
8
16
24
24
16
16
0
0
0
0
0
16
16
16
0
0
0
8
8
8
8
8
8
8
8
20
20
0
4
4
6
0
0
8
57
57
2
2
8
9
9
8
8
8
8
12
12
8
16
8
8
0
0
8
40
8
8
8
8
8
4
4
4
4
4
4
4
4
1
1
1
8
9
8
0
8
2
2
2
2
2
2
1
1
1
1
8
8
1
1
1
1
8
16
16
16
16
8
0
0
0
0
0
8
4
8
8
8
1
16
16
9
9
16
0
8
0
16
16
16
0
0
0
16
16
16
16
16
8
16
16
8
8
1
1
1
0
0
2
27
4
4
4
8
16
48
0
8
8
8
0
0
16
16
2
2
2
2
2
0
0
0
0
32
32
32
2
2
2
2
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
8
8
0
0
0
8
8
8
0
0
0
0
24
24
24
8
8
8
8
8
8
8
8
8
8
8
8
0
0
1
1
1
16
1
1
8
8
8
8
8
8
8
8
8
2
0
8
8
8
8
8
8
1
1
1
0
0
0
0
8
8
2
2
2
8
8
8
8
0
8
8
0
0
16
17
16
16
16
8
3
16
16
16
16
0
2
2
0
16
20
2
2
2
6
6
2
2
2
8
8
8
8
1
16
32
32
16
32
32
16
0
0
0
0
0
0
8
8
8
0
12
0
0
4
4
4
8
8
8
6
6
6
6
8
8
8
8
8
8
0
0
0
0
16
5
5
5
5
0
0
16
20
20
8
8
8
8
16
4
1
1
1
1
1
32
16
16
16
8
8
0
32
32
24
8
8
8
8
8
1
1
1
16
8
8
8
8
4
0
0
0
0
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
8
8
16
16
16
16
0
16
16
8
8
8
2
2
2
2
2
2
2
16
16
8
8
8
8
8
0
8
8
8
8
8
8
16
16
20
40
8
8
8
0
32
8
8
2
2
2
2
2
2
0
0
8
1
0
8
16
24
0
32
32
32
0
0
0
16
16
16
16
16
4
4
1
8
2
16
8
0
1
1
1
1
1
1
0
0
8
8
9
1
0
0
0
0
0
1
41
1
8
8
8
16
16
0
16
4
8
8
0
8
8
0
0
0
16
8
8
1
1
1
0
0
8
8
0
8
8
8
8
8
8
9
9
9
16
8
8
32
32
32
32
32
32
32
48
8
0
0
0
16
16
16
1
8
8
8
8
32
32
12
28
16
16
16
16
16
8
8
16
16
8
8
32
32
32
8
8
8
8
8
8
8
8
8
32
32
8
24
8
8
0
8
8
1
8
0
0
0
4
4
16
16
12
12
4
8
12
4
0
0
32
32
0
16
0
2
8
8
8
8
0
0
0
0
16
8
16
24
8
8
16
16
26
26
8
8
16
24
24
24
24
24
9
9
1
20
20
4
4
24
16
16
16
16
16
16
24
24
1
0
0
4
4
0
2
2
0
24
16
16
16
0
0
0
8
8
2
2
16
2
2
2
2
16
16
16
1
1
1
1
1
1
1
32
32
32
32
8
0
0
9
9
9
9
0
0
24
24
16
16
16
17
25
8
8
16
16
24
56
56
56
16
16
16
24
16
20
20
20
32
8
0
8
4
8
8
8
8
8
2
2
40
8
8
8
8
32
32
32
2
2
2
32
32
32
32
0
0
0
0
0
0
9
16
0
8
8
8
8
0
0
12
24
24
24
24
8
0
0
0
0
0
8
8
8
8
8
1
1
9
4
4
0
4
4
4
24
24
8
0
0
0
0
0
0
0
0
17
17
8
8
8
8
0
8
8
8
8
8
8
8
8
8
8
8
1
40
16
16
2
0
0
8
8
8
16
16
16
16
4
8
8
8
8
8
8
8
16
8
8
4
8
8
8
16
17
17
4
0
0
8
0
16
8
8
16
16
0
0
8
8
16
16
16
16
16
0
8
8
8
8
1
4
1
16
1
1
0
0
32
8
8
16
0
0
16
16
16
16
16
8
8
16
16
16
32
32
8
8
8
8
8
9
8
2
0
0
8
8
8
8
8
8
8
8
36
8
8
16
40
8
8
8
8
8
0
0
16
16
18
18
18
18
8
8
8
8
16
12
8
8
4
8
8
8
8
8
18
16
16
16
32
0
0
0
0
0
0
16
1
3
1
1
1
1
16
18
18
18
0
0
32
8
2
16
16
16
22
22
22
22
0
0
0
8
32
8
8
8
8
8
8
8
8
8
0
0
0
0
0
8
8
24
16
8
0
0
0
16
16
16
16
0
1
1
1
1
8
8
4
0
8
4
4
4
4
0
0
4
4
8
8
8
16
16
0
0
0
8
1
1
8
8
0
27
16
16
8
8
8
8
8
8
8
8
2
2
2
2
8
8
2
2
2
19
0
0
32
1
32
29
0
0
8
8
8
8
17
1
2
2
28
12
12
4
8
8
8
8
8
8
16
16
16
16
16
16
16
16
16
16
16
16
16
16
32
16
16
16
16
48
32
0
8
0
0
0
0
2
2
2
5
16
16
16
16
16
12
4
4
4
1
1
5
8
16
8
16
16
16
8
8
8
8
8
8
8
8
9
9
0
0
0
0
0
8
8
8
8
8
8
2
2
2
2
18
1
4
4
0
22
22
22
22
22
22
22
0
0
1
4
8
0
0
0
8
8
8
8
8
8
8
0
16
16
32
48
32
4
4
4
4
4
4
4
8
8
8
8
8
16
8
8
24
24
0
0
0
8
8
1
1
5
0
0
40
40
16
16
16
8
32
34
50
16
34
34
34
0
0
0
0
16
16
10
8
8
8
8
0
8
8
56
0
0
16
0
5
5
5
1
1
1
8
8
8
8
8
8
8
0
8
0
16
16
16
1
1
16
16
16
16
16
16
16
8
8
8
8
8
8
8
8
8
16
16
1
1
16
0
8
8
16
8
8
8
8
1
2
2
2
2
2
2
16
16
16
16
16
8
8
8
16
16
16
0
0
0
8
8
8
8
8
8
16
8
8
1
1
1
9
8
16
16
0
1
1
1
1
1
5
5
5
8
8
8
8
16
16
8
8
8
4
16
16
4
8
0
0
0
0
0
0
0
0
0
0
16
16
16
16
2
2
2
17
0
0
16
16
16
16
16
16
4
4
4
44
28
12
12
16
16
16
16
16
16
16
16
8
0
16
8
16
8
8
8
8
8
32
1
1
1
0
0
20
0
1
16
17
17
17
17
17
17
17
17
17
17
24
8
8
8
8
8
8
16
8
0
20
20
20
20
20
20
8
8
8
0
0
0
17
4
8
4
4
0
4
4
0
16
16
16
16
0
0
8
4
4
0
32
49
32
32
32
8
4
40
8
8
4
4
4
8
8
8
8
8
16
8
1
8
8
0
16
8
8
0
8
16
14
14
0
0
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
0
1
1
1
16
16
16
12
8
8
8
0
2
0
0
20
32
32
8
8
0
0
2
2
2
2
0
0
0
0
0
4
0
4
4
16
16
16
16
16
16
16
0
0
16
16
8
8
8
0
0
2
16
16
24
16
0
0
1
16
4
4
4
4
4
4
8
24
24
8
8
8
32
32
32
16
16
16
16
16
16
8
4
8
8
4
17
17
17
8
8
8
16
32
32
32
0
0
0
0
0
0
0
0
0
16
24
24
16
16
1
8
8
8
8
8
1
0
0
0
0
8
8
8
8
8
1
8
8
8
8
8
8
8
8
8
8
8
8
8
8
1
0
8
8
4
4
0
0
33
8
8
8
8
8
0
16
0
0
8
16
16
8
0
0
0
0
0
0
0
0
0
16
16
16
8
16
2
8
10
0
16
16
16
16
16
16
16
8
8
8
8
8
16
8
8
0
1
23
16
0
0
0
0
0
16
16
16
16
16
8
12
8
0
8
4
4
4
4
4
4
4
16
16
8
2
2
0
0
3
1
1
1
0
0
8
4
4
4
4
0
0
8
8
16
8
4
25
9
16
8
8
8
8
24
24
16
1
18
8
8
1
1
1
1
0
32
3
3
3
3
8
8
8
8
8
8
8
8
12
8
8
8
8
8
8
8
8
8
8
8
4
16
16
16
16
8
8
8
8
8
32
32
32
16
0
0
0
8
8
8
2
2
0
0
0
0
0
0
0
0
9
9
25
0
8
8
16
8
0
8
1
1
0
0
1
1
33
4
4
4
4
16
16
16
16
0
16
2
2
2
0
4
0
0
0
0
0
0
0
1
1
8
0
0
0
8
8
0
16
20
16
1
1
24
4
6
4
4
4
16
16
16
16
16
26
26
8
8
32
34
32
32
32
4
8
2
2
2
0
8
8
0
0
0
0
8
8
8
8
0
0
20
20
20
0
0
0
0
16
16
18
16
16
2
4
0
0
2
2
16
16
16
0
0
16
16
0
8
8
8
0
8
0
0
0
0
0
12
8
8
20
16
16
8
16
16
17
17
8
8
8
0
0
8
16
16
0
16
4
4
8
8
8
8
1
1
0
0
4
4
4
8
24
0
20
20
8
8
8
16
16
8
8
0
0
40
16
8
8
8
0
16
16
16
16
16
8
8
8
24
20
20
20
8
1
4
2
2
16
16
16
16
8
8
8
8
2
0
8
8
8
8
8
4
8
8
16
16
16
16
12
16
16
8
48
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
32
32
32
0
20
20
20
20
20
0
0
8
28
16
32
32
32
32
16
16
16
16
16
16
16
0
0
0
4
0
0
40
40
2
2
2
2
2
2
8
8
8
8
8
8
8
16
16
16
0
0
1
1
1
1
16
8
0
32
26
6
8
8
8
2
2
2
2
0
2
0
0
0
0
0
0
0
0
0
8
8
40
40
16
0
8
8
8
2
2
33
33
16
16
16
8
8
0
8
8
2
2
8
8
0
0
0
0
48
48
48
4
4
4
16
16
16
16
40
8
8
8
0
0
0
0
0
16
16
16
16
16
20
8
16
16
9
8
8
8
8
0
0
16
16
8
16
16
0
0
0
4
2
2
2
4
4
4
4
8
0
0
8
8
8
8
8
8
8
8
16
16
16
16
25
25
3
3
3
3
3
3
33
2
8
8
4
4
4
8
0
8
16
16
0
0
0
0
0
0
8
5
16
4
20
20
20
20
8
0
0
8
8
8
32
32
32
0
1
1
16
24
24
16
16
8
16
16
60
0
13
13
0
8
8
16
16
16
16
8
8
8
8
8
2
2
45
45
0
0
0
0
20
16
16
16
4
4
16
16
8
8
1
1
1
24
24
2
2
8
8
4
0
8
16
16
16
0
0
0
0
0
16
16
16
8
2
2
2
2
16
16
16
0
56
56
56
8
8
8
0
16
16
49
49
0
0
0
0
0
0
0
8
8
40
40
8
8
9
8
16
0
0
0
0
0
0
0
0
0
0
0
8
8
4
16
16
0
0
20
20
1
0
16
16
16
16
16
16
20
20
20
20
20
20
0
0
4
16
16
28
28
16
0
0
8
1
11
32
8
40
8
24
8
24
8
8
0
0
8
2
2
8
8
8
21
1
16
17
16
16
16
0
24
12
8
0
33
33
2
0
0
0
0
0
0
16
16
16
16
16
8
8
9
8
8
0
0
24
24
24
8
12
16
16
8
8
8
8
8
8
16
16
16
16
1
1
1
1
16
24
24
16
16
16
16
16
16
16
0
16
16
16
1
1
0
0
0
0
0
8
16
4
8
8
8
0
0
24
24
24
4
4
8
24
8
8
8
16
8
8
5
5
4
5
0
24
24
24
24
0
0
0
0
0
0
0
8
0
0
8
8
8
8
0
0
0
8
32
16
48
0
0
8
24
0
0
8
8
1
1
1
0
16
1
1
0
12
8
4
2
18
18
8
8
0
8
8
16
8
8
8
16
8
8
8
2
2
0
5
5
4
4
1
1
20
0
8
8
8
8
8
8
8
8
0
2
2
2
2
2
2
2
2
2
32
32
32
32
32
8
0
8
8
8
4
4
0
0
16
16
0
4
0
8
8
8
0
0
16
16
16
16
8
0
0
0
0
8
8
8
8
10
16
16
26
26
26
8
8
32
0
2
18
0
0
8
0
10
26
30
10
32
40
32
32
32
0
4
4
38
0
0
0
48
20
20
20
8
8
8
8
8
8
8
0
0
0
0
8
0
8
16
24
16
0
16
16
2
2
6
2
0
8
8
8
8
8
0
0
0
1
1
1
1
8
8
16
16
4
16
8
8
32
32
40
10
0
1
8
8
0
4
32
32
20
20
20
20
20
4
4
4
4
4
4
4
4
4
16
16
9
9
9
0
32
0
0
32
19
32
32
16
16
8
8
2
48
38
0
0
0
8
8
8
3
3
0
0
0
0
0
8
8
8
8
0
16
16
0
40
40
40
0
16
16
16
48
48
16
0
0
0
0
4
4
4
4
8
16
16
16
16
16
16
16
16
16
16
16
16
8
8
8
0
0
0
0
0
0
25
8
16
4
4
4
4
0
0
48
48
32
32
32
32
32
32
8
8
8
16
16
16
16
1
1
0
8
8
8
8
8
8
8
8
16
2
2
16
8
9
8
8
0
0
0
0
0
0
0
0
0
16
16
16
48
0
0
0
0
16
20
20
20
20
20
16
16
8
8
8
8
8
8
8
8
8
8
8
20
20
8
4
16
16
0
26
8
8
8
8
8
18
3
8
8
8
8
8
16
16
16
16
16
16
16
8
8
8
8
8
8
24
8
8
24
8
8
8
16
16
24
8
8
32
32
32
8
8
32
32
32
32
32
0
0
0
0
0
8
18
0
0
20
16
16
16
16
16
16
16
8
0
0
40
32
8
32
32
0
0
0
0
0
0
0
8
8
0
1
1
1
8
8
16
32
32
8
8
8
1
1
1
1
1
1
8
0
8
8
0
4
0
44
0
16
8
8
10
10
10
10
8
8
8
8
0
16
16
16
0
8
16
16
16
4
4
4
0
0
0
8
8
0
16
16
0
8
8
8
8
1
8
8
8
8
1
1
0
8
8
8
8
8
8
8
8
8
0
0
16
16
16
16
16
16
16
16
16
16
8
8
16
0
3
3
2
32
4
8
2
2
2
16
8
8
0
0
16
16
10
16
16
16
16
8
8
8
0
0
0
8
4
4
4
16
8
8
8
8
0
0
0
16
20
16
1
1
1
8
0
32
32
8
8
8
16
16
16
16
16
16
16
16
16
16
4
4
4
4
4
4
4
16
1
0
0
0
0
0
4
8
8
16
49
49
49
49
49
49
49
49
49
49
0
0
2
2
0
0
0
2
16
16
16
16
8
16
16
16
8
8
8
8
8
8
8
8
8
24
8
8
8
8
0
0
0
8
0
1
32
32
32
32
8
8
8
8
2
16
24
24
8
8
16
16
8
8
0
0
16
16
16
16
0
8
1
57
0
0
0
8
8
8
8
0
8
28
0
0
0
0
8
8
0
16
8
2
8
2
10
0
0
0
22
8
8
8
8
8
8
8
8
8
12
12
12
8
8
8
8
16
16
0
4
0
0
8
8
2
2
2
16
16
16
8
8
8
4
0
8
2
2
16
16
16
16
8
10
32
32
32
4
4
4
0
0
0
0
8
8
8
1
1
1
1
8
8
2
8
0
0
0
0
2
2
2
8
8
8
8
8
40
40
2
2
2
8
8
17
17
8
8
8
8
8
8
8
8
8
8
8
8
8
16
16
16
16
16
16
1
1
1
0
2
2
2
8
8
8
8
0
0
0
0
8
1
1
1
24
24
8
8
0
0
0
16
16
16
16
0
0
16
16
16
1
32
32
8
8
8
8
8
24
24
0
1
8
8
8
16
24
52
52
52
52
52
52
16
16
16
0
8
1
16
16
16
16
16
16
8
8
17
0
0
0
0
0
8
8
8
8
1
37
37
8
8
8
8
2
2
24
16
16
16
16
16
6
8
8
8
32
32
0
8
8
8
8
4
0
8
24
8
8
8
8
16
16
16
16
16
32
32
32
0
0
0
0
40
40
40
40
8
0
0
24
28
24
8
0
0
8
8
16
8
8
16
16
16
18
18
8
3
2
2
2
8
2
8
1
17
17
17
17
0
0
8
8
8
8
4
32
0
10
8
8
8
8
8
8
8
8
29
0
0
20
20
0
8
8
0
0
8
8
8
16
16
8
8
0
0
0
0
8
8
0
0
8
8
8
8
8
8
12
12
8
8
24
2
8
8
0
8
8
8
1
1
8
0
0
0
0
0
8
8
8
8
8
16
16
16
16
8
8
16
4
4
4
4
0
0
0
8
8
8
8
8
8
8
0
0
8
41
8
8
16
16
16
16
16
16
16
16
16
16
16
0
0
8
8
8
8
16
48
16
8
0
0
0
0
1
0
0
0
16
16
16
16
16
8
12
12
12
8
4
4
0
16
16
16
16
24
8
8
16
8
8
8
8
0
0
0
0
8
8
8
8
8
0
4
8
0
0
0
0
0
4
4
4
4
8
8
8
16
16
16
4
4
4
0
0
16
16
16
8
8
8
8
0
0
8
8
4
4
4
0
8
6
6
6
1
1
1
16
16
8
8
1
1
1
4
8
4
4
4
8
8
16
16
16
28
28
24
20
20
8
8
0
4
10
10
0
4
4
1
8
8
8
32
0
8
8
0
16
16
12
24
8
1
1
1
45
45
8
0
8
4
16
17
16
16
16
16
0
16
16
8
16
16
0
8
17
0
0
16
16
0
0
16
16
0
0
0
21
21
16
0
0
8
8
8
1
1
16
0
0
4
8
8
8
0
0
32
32
32
16
16
8
8
25
8
8
16
16
16
2
2
16
2
2
8
0
28
8
16
16
16
16
2
19
2
2
2
2
0
4
4
4
5
1
16
16
4
4
8
8
8
16
4
4
4
4
4
8
8
0
4
8
9
9
16
20
4
0
0
0
1
8
8
0
9
9
9
0
0
8
8
32
32
8
8
8
8
8
16
16
16
16
16
16
12
12
12
12
4
4
4
4
4
0
0
28
28
4
0
0
0
1
9
2
2
8
8
8
8
8
8
8
0
16
16
0
8
8
8
8
8
8
16
16
16
4
4
4
4
4
24
24
0
2
32
8
8
8
0
8
8
8
5
4
4
8
8
8
0
16
10
10
0
24
24
24
0
8
8
8
30
16
16
18
18
0
32
8
8
8
8
0
0
32
0
0
2
24
24
2
2
2
2
8
8
8
18
0
8
8
0
0
8
28
28
8
8
8
4
16
16
2
2
2
12
12
12
1
1
1
16
16
1
2
2
19
1
3
1
32
1
1
16
16
0
42
42
0
4
14
6
1
3
3
3
3
3
8
8
8
4
0
0
16
16
16
16
0
16
0
8
8
8
16
0
0
0
0
0
8
8
24
16
16
16
4
16
8
8
0
0
0
0
18
0
0
0
0
8
8
1
1
9
2
2
2
8
8
8
8
8
38
0
0
0
0
0
4
4
4
4
1
0
8
8
0
8
8
8
8
3
16
8
24
24
24
24
0
8
8
0
0
0
0
16
40
40
40
40
24
4
4
4
4
4
4
4
4
8
8
0
8
0
33
8
8
8
8
8
8
8
8
8
0
0
8
8
8
8
8
1
1
1
0
0
8
16
16
16
0
2
8
8
25
8
8
8
8
8
8
8
2
2
8
8
8
8
0
25
25
8
8
16
8
8
0
8
8
0
8
8
8
2
6
2
4
4
4
8
24
8
8
8
8
8
16
2
2
2
2
2
2
2
18
0
0
8
8
8
8
8
0
0
16
16
16
4
4
4
0
0
16
16
8
8
8
8
8
4
4
4
1
0
24
16
16
0
8
8
8
8
16
16
4
16
16
32
4
4
4
4
4
4
56
56
56
8
8
8
8
17
16
8
8
8
8
8
16
16
16
16
16
24
8
8
0
1
1
1
0
2
2
2
0
8
8
8
0
16
16
16
16
8
24
0
16
16
0
32
16
48
48
48
6
8
8
8
24
24
8
8
24
0
0
0
0
0
8
0
0
3
0
1
1
1
1
1
1
1
16
8
8
8
8
8
24
0
16
16
8
4
4
0
0
0
8
0
0
8
8
8
8
24
16
0
1
1
1
0
1
1
1
1
8
8
8
8
0
0
8
8
24
24
24
16
0
0
0
0
0
8
40
8
8
0
32
32
8
0
0
16
16
16
16
0
0
0
0
0
0
4
8
8
19
2
2
0
0
16
16
8
8
4
0
0
8
8
8
8
8
4
2
2
2
10
10
2
8
8
8
8
8
8
8
16
16
16
8
8
8
8
1
1
1
1
1
16
16
16
8
8
8
8
8
8
8
8
8
8
8
0
8
8
8
8
16
16
16
16
16
40
40
40
8
8
0
0
0
8
16
8
0
0
2
18
18
2
2
2
2
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
4
4
0
0
0
0
0
0
8
8
0
32
32
32
32
32
32
16
16
16
0
0
0
16
16
16
12
0
0
17
16
4
4
0
0
16
16
8
8
8
2
2
8
8
8
8
0
8
8
8
8
8
4
4
16
0
0
4
6
6
8
8
8
0
4
4
4
4
20
16
0
0
0
0
8
8
8
0
0
0
8
8
8
1
1
0
0
4
0
0
0
0
1
0
0
8
0
0
0
8
16
16
0
0
8
8
3
3
3
3
8
8
16
4
4
4
8
8
8
8
8
8
8
8
0
16
16
9
8
4
4
8
8
8
8
16
16
8
8
0
0
0
50
50
50
0
2
2
12
4
8
8
0
0
16
16
16
8
0
2
2
2
2
2
0
0
0
0
8
1
1
1
1
0
8
8
8
16
0
0
0
8
8
8
0
8
8
8
8
8
0
4
4
16
16
16
16
16
16
16
16
0
0
0
16
16
16
16
0
8
8
0
0
0
16
16
0
0
0
12
2
2
16
16
8
8
8
8
8
8
8
8
0
0
0
0
0
0
0
4
8
8
8
0
4
4
0
0
40
8
8
16
16
16
16
16
16
16
16
16
16
16
16
16
0
16
4
0
0
8
2
2
2
16
8
8
8
8
16
24
25
16
8
0
0
0
0
0
8
24
24
24
1
1
1
1
1
8
8
1
8
1
1
1
1
8
8
8
8
8
8
8
8
4
0
8
8
0
16
16
16
16
16
16
0
8
8
8
8
32
16
16
16
5
5
8
8
2
2
2
0
16
16
16
16
16
0
0
0
0
8
16
16
2
2
8
8
8
8
4
17
17
16
8
0
0
0
1
1
1
1
1
1
25
25
25
8
0
16
16
0
0
0
0
16
16
16
16
16
16
16
4
8
8
8
8
0
0
0
0
2
0
0
8
8
8
0
0
12
12
12
16
0
8
8
8
8
8
8
8
0
2
3
2
2
1
8
8
8
8
8
8
0
20
4
4
4
4
4
0
0
0
4
4
0
0
0
2
2
2
2
2
2
8
16
16
16
16
1
1
1
1
1
16
16
0
8
0
8
4
4
8
8
8
33
1
32
16
16
16
16
0
3
16
8
8
8
8
8
8
8
8
8
8
8
18
18
18
18
16
16
8
8
8
8
8
0
16
16
16
8
1
9
9
0
0
0
40
40
40
8
8
16
8
4
4
4
4
8
8
8
8
8
8
36
36
36
36
36
36
16
16
16
22
16
16
16
0
20
20
20
4
4
4
0
0
0
0
4
4
8
8
8
22
0
0
24
24
24
16
4
4
4
4
4
4
4
4
8
0
0
1
1
32
32
32
0
4
20
20
20
16
4
8
16
16
16
16
16
16
4
8
8
16
16
2
10
10
8
8
12
8
8
8
8
8
0
16
16
10
8
8
8
8
16
16
16
16
16
16
26
16
10
10
8
8
8
0
0
8
16
4
8
8
1
1
16
16
16
8
8
8
8
8
8
8
0
0
0
32
32
32
1
1
1
1
24
16
16
16
16
18
16
18
16
48
16
16
16
0
0
16
24
8
8
0
0
16
0
8
8
8
16
16
24
24
24
24
1
1
1
0
1
8
0
16
8
8
8
20
20
20
20
20
16
16
16
16
16
16
0
0
0
0
16
16
16
16
16
16
16
0
16
40
40
40
0
0
16
16
16
16
16
16
16
44
8
16
16
16
16
12
8
8
0
0
0
0
2
2
8
8
8
16
4
4
4
4
0
0
1
1
1
16
2
2
1
1
1
1
0
9
9
1
1
1
20
20
20
20
20
16
16
16
16
8
8
8
8
8
8
8
16
16
16
16
16
16
8
32
32
0
0
0
0
1
1
1
1
1
1
4
4
0
0
0
16
16
1
1
1
1
1
20
0
0
8
8
8
8
0
0
0
0
0
0
16
16
0
0
2
2
2
2
2
2
2
2
2
2
2
2
0
11
11
1
1
1
1
1
16
16
0
2
2
2
2
1
1
1
1
1
1
0
16
16
16
16
0
24
16
16
8
32
32
8
8
16
16
4
20
4
4
16
1
1
1
1
32
32
34
32
32
16
16
16
16
16
16
0
0
8
8
0
8
8
8
8
8
8
8
4
1
1
1
1
1
1
1
1
1
8
8
1
1
1
1
1
1
1
8
8
8
8
8
8
8
8
8
8
9
8
8
8
16
16
8
8
8
8
8
8
0
0
24
16
24
16
8
8
0
20
20
0
8
0
0
0
1
1
0
4
4
8
8
8
8
33
8
8
4
4
4
4
4
2
2
0
16
16
16
16
4
4
8
8
40
40
40
8
0
8
8
0
0
2
6
2
0
20
16
16
16
16
16
8
0
20
16
41
9
0
0
0
0
4
0
0
0
32
32
32
32
8
8
8
4
4
8
28
4
4
16
16
16
16
16
16
1
4
4
4
4
4
4
0
16
0
4
4
4
0
1
1
1
1
1
1
2
2
16
1
1
1
0
16
16
16
16
0
0
2
8
8
2
2
2
0
0
32
32
32
32
16
16
8
4
4
4
5
24
24
18
24
8
0
0
8
8
8
1
1
1
8
8
16
8
8
16
16
0
0
8
8
8
16
16
21
8
8
8
8
8
8
8
16
16
8
4
30
0
0
0
24
24
24
8
8
16
16
16
16
1
1
1
8
8
8
0
0
0
0
0
0
2
2
16
4
7
1
1
18
2
1
16
16
4
1
1
1
1
8
8
8
8
8
8
8
8
5
5
8
0
0
4
4
4
4
31
31
8
8
8
8
16
16
4
4
4
8
8
8
0
0
16
16
16
0
0
0
0
16
0
0
1
1
1
8
8
8
16
8
16
8
8
8
8
8
8
0
0
0
0
0
0
0
0
0
4
4
12
0
8
8
8
8
8
1
1
1
43
9
8
8
8
6
2
0
8
24
1
8
16
16
16
16
16
16
4
4
4
4
20
0
0
16
20
20
16
16
16
16
4
4
4
4
4
2
0
16
16
8
8
8
0
16
16
16
8
9
0
0
8
8
8
8
0
0
0
0
8
8
8
0
0
0
0
0
8
8
0
8
8
8
8
8
8
0
0
0
0
8
2
2
4
4
8
16
2
2
2
2
2
2
24
24
24
8
8
32
32
32
0
8
4
4
8
8
26
2
24
0
0
8
1
1
1
0
16
0
0
0
4
4
4
0
8
8
8
8
16
16
16
16
16
16
57
32
32
8
8
16
0
0
0
0
0
0
16
8
24
35
35
16
16
1
1
16
48
8
16
4
8
8
8
8
8
8
8
12
12
8
8
8
8
4
4
4
4
4
4
8
8
8
0
8
8
8
8
8
8
8
8
8
8
1
8
8
8
8
0
16
16
4
2
2
32
8
8
8
0
0
4
0
0
22
16
16
4
4
4
8
16
16
16
16
0
8
0
8
8
8
8
8
27
0
0
0
0
6
1
32
32
8
8
8
24
16
16
16
16
16
4
0
0
0
0
0
4
16
16
16
4
4
4
24
48
32
32
32
0
8
16
16
16
2
8
8
8
2
8
24
8
8
8
8
8
8
8
8
8
8
32
1
1
1
1
16
16
24
0
1
8
1
1
24
17
8
8
8
16
0
8
8
8
1
1
1
1
1
1
8
8
8
16
16
16
16
16
0
44
44
44
16
24
24
28
1
8
16
8
4
0
16
37
8
17
16
0
16
1
1
0
0
0
41
1
8
8
16
16
0
0
8
20
20
17
17
17
17
8
8
0
16
16
16
16
8
2
2
2
16
16
8
8
24
8
8
8
0
0
8
1
1
1
4
4
38
16
16
2
0
8
8
8
8
8
16
0
0
0
0
0
0
0
0
0
1
1
8
8
8
8
2
0
0
0
0
4
4
1
2
2
2
0
0
0
0
1
1
8
8
16
8
8
32
0
0
0
0
0
12
12
16
16
16
8
8
24
0
0
0
0
0
32
40
0
18
18
0
9
9
0
16
16
1
1
8
8
8
0
0
24
0
0
0
16
2
0
0
16
16
8
8
24
24
0
16
16
16
16
16
0
0
8
0
0
0
8
8
1
1
1
16
0
0
24
4
4
0
8
8
4
20
24
16
24
24
24
16
0
4
4
8
0
8
8
4
4
4
4
4
16
16
16
8
8
8
1
1
1
16
2
2
1
0
8
8
8
1
4
0
0
16
16
16
0
0
0
0
16
16
16
16
8
8
0
8
8
16
8
16
16
16
8
0
0
8
8
0
16
16
16
8
16
1
1
1
8
8
0
8
8
4
4
32
32
32
12
12
12
32
16
16
24
16
8
0
8
8
8
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
2
12
14
2
2
34
2
2
2
0
32
0
0
0
0
0
16
1
16
1
1
16
16
0
0
0
0
0
0
4
32
40
56
40
8
32
0
0
0
0
16
16
2
2
2
2
1
8
16
16
8
8
8
16
0
1
4
4
4
4
0
2
8
1
1
18
1
1
1
1
0
0
0
8
8
8
2
2
2
2
8
61
45
61
61
0
0
28
0
16
16
16
4
4
4
4
8
10
0
0
0
0
0
8
9
8
8
8
6
6
16
40
24
4
4
32
8
8
8
8
8
8
0
0
8
8
8
8
8
8
8
16
16
16
16
8
8
0
0
8
8
8
8
2
2
3
0
4
4
2
2
17
17
17
17
17
4
20
4
0
0
0
0
0
8
8
8
8
8
16
16
16
17
2
16
16
16
16
16
16
0
0
8
8
8
16
16
16
0
0
32
0
0
8
8
6
6
6
0
1
1
1
8
8
8
8
8
8
8
8
8
26
16
16
16
8
16
16
4
8
8
8
0
0
0
8
8
8
18
0
0
0
8
8
16
16
16
16
8
16
8
8
8
8
0
0
0
28
16
20
4
4
4
8
16
8
8
16
0
18
18
18
18
16
16
8
8
8
8
8
8
8
8
0
0
0
32
0
8
8
8
8
8
8
0
0
0
0
0
6
4
4
4
8
8
1
16
16
8
16
8
0
0
0
0
8
33
0
17
8
8
32
32
16
16
16
16
8
0
8
4
8
8
8
8
8
8
1
24
8
8
24
24
24
24
8
8
8
8
8
1
1
1
1
1
1
1
32
32
32
16
8
8
8
8
8
4
4
8
2
0
0
0
24
8
8
8
8
8
8
8
8
8
0
12
4
4
4
0
28
16
0
16
16
0
8
8
8
1
4
4
16
1
1
1
8
1
8
8
8
8
8
8
8
8
44
16
16
48
48
2
2
2
16
16
16
8
16
16
16
16
0
2
2
24
8
8
8
8
16
16
8
8
8
0
0
0
0
4
4
4
1
1
2
2
2
0
0
16
8
8
8
8
8
0
0
0
0
16
16
24
24
24
24
24
0
4
4
16
16
16
16
0
2
32
32
16
16
16
4
1
4
8
16
16
16
16
18
18
18
18
3
0
16
16
16
16
16
16
16
16
16
1
1
1
9
9
1
8
16
16
0
0
16
16
16
13
13
8
8
8
20
20
20
20
20
20
20
20
20
20
16
4
4
0
4
4
4
9
9
9
16
8
16
32
32
2
2
2
2
2
2
2
16
2
2
2
2
2
0
17
4
0
8
8
8
4
8
45
45
45
0
0
2
8
8
0
4
4
4
4
8
8
8
12
8
8
16
8
24
24
4
4
4
16
0
1
1
1
16
30
30
0
0
52
52
16
8
8
8
16
16
8
8
16
8
8
8
16
16
24
1
1
1
1
0
4
4
0
0
4
4
4
4
16
16
8
8
8
8
8
8
8
2
2
2
2
16
8
24
1
16
16
16
2
2
2
16
16
0
16
16
16
16
16
8
4
4
0
8
8
8
0
0
8
8
8
8
8
14
14
14
12
2
2
2
13
1
1
8
0
8
8
0
8
8
8
8
24
8
8
9
9
1
0
8
16
16
16
0
0
0
24
24
24
2
2
2
2
16
24
24
24
16
16
16
51
2
2
2
16
2
2
16
16
2
8
8
8
8
8
0
24
0
32
32
4
4
4
4
8
42
8
8
8
0
1
1
1
1
1
4
4
4
4
4
4
4
4
4
8
24
4
4
4
4
4
4
4
8
16
8
0
0
0
0
0
1
1
1
2
2
2
2
2
2
40
40
40
8
8
24
24
24
16
8
0
0
0
1
8
16
0
8
8
8
1
1
1
0
0
8
8
8
8
8
6
6
6
6
8
0
0
0
4
4
0
0
8
8
16
16
0
0
0
8
8
1
1
1
1
1
16
0
0
32
32
0
0
4
8
24
8
8
16
25
9
0
8
0
16
16
16
16
0
0
8
16
16
16
0
16
16
16
16
16
0
32
0
24
8
8
48
0
0
0
17
16
0
0
0
0
0
0
0
0
0
8
16
0
0
8
8
1
1
16
8
8
8
8
8
1
0
4
8
8
0
17
0
0
0
0
0
0
0
8
16
0
0
0
0
56
56
2
8
8
8
8
8
2
2
16
8
8
6
16
0
1
1
8
8
8
24
24
24
16
16
4
4
4
4
16
16
16
32
16
16
8
8
8
8
0
16
4
8
8
16
1
1
16
16
40
8
4
1
16
24
9
19
18
0
16
16
0
0
8
8
8
16
16
16
0
2
2
0
0
0
0
0
0
20
39
0
0
0
0
0
0
0
16
16
16
8
8
8
16
16
4
4
8
8
8
8
0
0
0
16
52
32
20
32
16
24
16
16
16
8
8
8
8
0
0
0
0
0
8
8
8
8
0
4
20
4
2
2
2
2
8
8
0
0
0
4
18
18
18
8
16
16
16
16
8
8
8
1
8
0
0
16
16
8
1
1
1
1
1
0
1
1
1
1
1
1
1
1
8
1
1
0
8
1
1
0
8
8
8
0
0
0
0
0
0
24
24
2
2
0
0
0
16
16
1
1
8
8
8
16
16
16
16
16
16
4
4
0
0
0
0
8
16
16
16
8
0
0
0
0
16
16
40
8
1
1
2
2
2
1
1
1
1
16
16
1
56
0
0
16
8
8
0
24
24
16
16
16
16
8
0
16
16
16
8
8
8
8
24
8
0
0
16
16
2
16
4
8
16
16
32
9
12
8
42
0
33
0
16
20
0
8
8
8
8
8
8
16
16
16
16
16
16
16
0
0
16
8
8
8
16
16
2
0
2
2
0
0
0
0
8
8
8
4
12
8
8
0
0
0
1
1
1
1
1
1
1
1
4
4
16
16
16
16
16
16
0
0
0
16
16
16
8
8
8
8
0
8
16
16
16
8
8
8
8
8
8
24
24
16
16
16
16
16
8
32
24
10
10
26
24
28
24
16
16
16
16
16
16
16
16
16
16
16
16
1
1
1
0
0
0
8
2
16
16
16
33
8
1
27
27
0
8
8
8
8
8
0
24
24
8
8
8
0
8
8
16
16
16
16
16
16
16
16
16
16
2
11
10
10
10
0
0
0
0
0
16
8
8
24
8
8
8
0
0
0
0
0
0
0
4
4
8
2
8
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
0
1
1
1
8
16
16
16
16
8
0
24
24
16
24
24
0
2
2
0
8
8
8
17
17
17
17
17
17
17
8
0
0
4
4
4
2
0
24
8
8
8
8
8
8
8
8
8
16
4
4
4
4
0
18
16
16
2
2
2
2
2
2
2
16
8
24
24
0
2
2
8
8
0
0
0
0
8
16
16
2
2
0
0
0
8
8
8
4
4
4
4
8
24
24
24
24
16
16
16
16
16
24
16
1
0
0
0
0
0
0
8
0
8
16
2
2
2
2
2
2
2
2
50
50
50
50
50
0
8
8
8
8
0
0
8
8
61
16
8
8
8
8
8
48
1
1
1
1
1
1
8
16
16
16
16
8
24
0
16
25
17
17
17
9
8
8
8
0
32
0
16
16
16
2
28
16
16
16
16
8
8
8
8
8
0
6
6
0
8
8
8
8
8
1
8
8
8
8
8
0
8
8
8
16
16
0
8
16
16
16
16
16
16
62
62
62
2
2
2
2
0
24
16
16
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
8
0
8
8
4
4
19
19
0
0
0
0
4
16
16
16
16
8
8
8
8
8
12
12
12
4
22
22
2
2
8
8
0
0
1
1
1
0
8
8
0
24
24
24
8
24
3
3
3
0
0
40
5
4
4
1
1
8
8
4
0
32
32
32
32
32
8
8
4
4
4
20
1
17
16
16
4
4
24
32
32
32
32
32
4
4
4
12
24
16
0
0
0
8
8
8
8
8
40
12
16
16
16
8
8
0
0
0
2
2
18
0
0
0
0
2
2
2
8
8
8
8
16
16
8
0
0
8
8
0
0
0
8
0
4
4
4
4
0
0
2
2
0
0
0
0
0
1
1
1
16
16
24
24
0
8
0
0
16
20
16
16
24
16
16
16
0
0
17
17
17
17
8
16
16
16
16
16
8
8
8
4
4
8
8
1
1
1
1
8
0
0
0
0
8
8
8
8
2
16
18
18
16
32
2
24
2
2
8
8
8
8
8
8
8
8
8
8
8
8
8
8
16
17
16
16
18
18
18
18
18
4
4
16
16
16
16
16
16
16
0
16
24
5
5
5
8
16
16
16
1
1
16
16
16
16
0
8
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
16
16
16
16
16
16
16
8
16
8
16
0
0
8
16
24
1
1
1
1
16
16
16
16
16
16
8
8
8
41
41
16
16
16
1
1
4
0
0
0
8
0
0
0
1
33
16
16
16
8
8
8
5
5
4
4
4
0
16
16
16
16
16
16
8
8
8
8
8
0
0
0
4
0
0
0
0
0
0
0
8
8
0
0
0
0
0
16
16
0
16
16
16
8
8
8
0
8
17
8
8
8
4
4
1
1
8
8
8
8
10
36
16
16
16
16
0
0
8
16
8
0
16
18
16
0
16
0
0
2
10
16
16
16
16
0
32
32
0
16
16
8
8
33
33
0
0
8
1
1
0
0
0
0
1
1
1
0
0
0
0
0
0
1
1
1
8
8
8
0
8
8
0
1
8
1
16
16
8
8
8
8
8
8
8
16
0
0
16
0
2
2
22
2
2
2
6
0
2
16
8
16
24
24
16
16
16
16
16
16
0
0
0
0
0
8
0
0
41
41
41
4
4
8
12
4
16
16
16
9
4
4
16
8
8
8
8
8
0
4
16
4
4
8
8
16
20
16
24
16
49
49
4
4
8
8
8
10
8
8
24
0
8
1
0
0
0
0
0
0
1
1
8
8
8
8
8
8
8
8
8
8
16
20
20
20
20
20
1
1
8
12
0
0
0
12
12
12
12
12
12
12
12
12
12
8
8
0
0
0
8
16
8
0
2
4
4
18
18
16
0
0
16
8
2
2
2
8
32
32
16
16
0
0
0
0
0
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
0
0
0
0
16
16
8
11
11
11
16
16
24
0
24
24
8
8
8
10
10
10
10
8
0
0
0
0
0
8
0
0
0
2
6
6
0
0
40
40
16
0
0
4
4
16
8
16
8
8
0
0
0
0
0
8
0
8
12
12
12
16
16
16
2
2
16
16
16
16
0
0
32
32
3
3
3
9
2
16
16
32
32
32
32
0
0
16
16
16
16
8
1
16
16
0
0
0
2
2
4
4
4
8
4
32
44
0
0
0
8
8
4
4
0
0
4
16
16
8
8
8
8
16
16
16
16
0
8
8
8
0
32
32
32
0
8
8
1
4
4
4
4
0
0
0
8
8
8
2
2
2
2
2
0
0
2
2
2
32
32
32
8
8
8
8
8
8
1
1
16
16
20
8
8
8
17
17
17
17
0
9
9
8
24
8
24
0
16
16
0
0
20
20
20
20
2
2
2
2
2
16
17
17
17
17
0
16
16
16
16
8
0
16
16
16
8
8
8
0
0
0
32
48
0
16
16
1
0
0
0
16
16
16
16
16
16
16
0
0
0
8
8
8
8
8
8
16
24
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
22
22
16
16
16
0
8
1
1
0
0
16
4
16
16
16
17
9
8
1
16
16
16
0
0
8
8
8
8
8
8
8
0
0
1
1
8
8
32
32
8
8
8
16
16
16
16
16
1
8
8
8
1
0
0
0
17
16
16
24
16
16
16
8
9
8
8
16
0
4
4
4
4
8
8
8
8
8
8
0
8
8
0
4
12
16
0
8
8
8
8
8
16
16
0
1
1
1
1
0
16
16
8
8
4
4
4
4
2
2
2
8
16
17
8
0
0
0
0
0
0
0
0
8
1
1
17
16
24
16
16
16
16
8
8
0
2
2
2
8
4
4
4
4
0
32
1
1
5
4
4
16
16
16
8
8
8
16
16
0
33
33
33
16
16
0
16
16
8
32
8
0
8
0
8
8
16
16
16
16
1
1
1
1
8
0
0
0
0
0
16
16
16
16
16
8
8
8
8
8
8
8
8
8
0
0
0
8
4
8
8
16
56
16
16
1
1
13
16
0
8
8
8
8
1
1
1
8
16
16
16
12
12
8
8
16
2
8
8
20
4
16
8
8
0
0
0
16
16
16
16
8
8
8
8
8
16
16
8
2
2
2
2
2
1
0
8
8
8
8
8
8
8
8
8
8
4
4
12
1
1
1
8
8
16
16
16
16
16
16
16
8
28
28
0
19
3
16
19
8
8
8
8
8
2
2
2
2
0
16
16
16
16
16
16
0
9
9
9
8
8
8
8
8
1
8
8
8
28
2
2
0
16
16
16
16
16
16
0
0
0
0
0
0
0
0
8
9
8
8
8
12
8
2
11
8
16
16
0
0
16
16
16
33
33
16
33
8
16
16
16
16
16
8
8
16
16
1
1
1
0
17
17
2
8
8
16
2
0
3
16
24
8
8
8
60
16
16
8
0
0
6
8
8
16
16
34
54
16
16
16
32
4
4
8
16
16
16
0
0
32
32
9
8
12
0
0
0
8
8
0
8
8
16
16
16
16
16
16
8
8
8
8
8
16
16
16
0
1
1
1
0
0
1
8
8
8
8
28
28
28
16
16
16
16
16
8
8
2
0
18
8
8
8
0
0
8
8
56
4
4
8
8
8
8
8
0
8
8
8
8
8
32
32
32
32
32
32
32
8
16
8
16
16
8
16
16
8
8
8
8
8
8
0
16
16
16
16
16
16
16
16
16
16
8
8
17
0
16
16
0
16
16
16
16
0
0
28
8
8
8
8
16
56
8
4
4
4
4
8
8
16
16
16
16
16
16
16
16
29
29
29
16
8
0
0
16
16
16
16
4
4
0
0
8
16
16
16
16
8
8
8
8
16
13
13
8
8
0
0
0
16
8
24
24
24
8
8
8
8
16
16
16
16
0
4
4
8
11
8
8
8
8
8
8
0
0
48
48
48
2
2
2
30
14
14
16
0
52
52
24
1
8
8
4
4
0
0
0
0
0
0
0
0
0
8
24
16
8
8
8
12
12
0
0
0
0
0
8
8
8
8
8
8
16
16
16
16
16
16
16
12
0
16
16
16
16
16
8
17
1
1
1
1
8
8
2
2
0
0
48
8
18
16
16
16
16
0
8
16
16
32
32
8
8
8
8
8
8
36
8
8
8
0
2
2
0
0
0
8
8
0
16
16
8
8
8
8
8
8
8
16
16
0
0
0
8
8
8
4
24
8
0
0
0
4
16
16
16
16
16
16
16
0
0
8
16
4
8
2
8
16
20
55
55
33
33
32
16
16
16
16
4
16
8
8
8
8
9
8
8
0
0
16
16
16
16
16
16
16
8
8
8
16
16
16
4
4
4
4
0
0
0
52
52
52
48
48
32
1
32
32
4
4
4
4
4
0
0
0
16
8
8
24
4
4
4
4
4
4
4
4
4
4
4
6
6
2
0
0
34
34
34
20
8
8
33
1
1
8
9
0
0
16
8
4
36
18
8
8
8
8
8
8
0
0
8
28
0
8
8
1
40
16
16
16
4
16
16
16
8
4
4
4
4
4
4
4
16
2
2
2
2
8
8
8
8
8
4
4
4
0
0
4
4
4
4
4
32
32
8
8
0
20
20
20
20
20
16
16
16
16
16
16
8
8
8
8
8
0
0
32
32
0
8
8
28
8
1
1
8
9
9
9
9
1
1
1
0
8
8
4
4
4
4
32
8
40
4
4
16
8
8
24
16
24
24
8
12
12
8
8
8
8
8
0
8
8
8
0
0
0
0
0
0
0
0
0
4
8
8
8
4
4
4
0
9
9
9
9
1
4
8
8
8
0
40
8
8
8
8
8
0
0
0
0
0
0
0
0
8
4
16
8
0
16
16
0
0
0
0
0
1
2
2
2
16
8
8
16
8
0
0
0
0
0
0
0
4
8
8
28
16
16
16
16
0
16
20
16
2
2
2
2
8
0
0
12
4
6
4
8
8
8
8
1
16
17
8
8
8
8
8
8
16
16
16
28
8
8
8
8
17
0
8
8
8
8
16
0
0
4
4
16
16
16
16
16
1
0
3
8
1
1
1
1
4
8
0
8
8
16
16
16
8
8
8
8
8
8
8
6
6
6
0
0
0
0
0
0
0
0
4
4
8
8
8
8
8
0
0
8
8
8
32
32
16
16
8
8
8
8
8
32
32
32
16
16
16
16
16
16
0
16
16
16
16
16
16
16
16
8
2
2
2
0
24
16
16
16
8
0
9
9
0
9
9
9
8
4
4
4
4
8
18
18
18
32
32
32
16
0
8
0
8
16
8
8
16
4
0
0
0
0
8
24
2
16
16
14
14
0
0
0
2
8
8
0
0
8
8
0
2
2
0
0
0
0
3
4
16
16
16
16
16
16
0
0
8
8
32
32
32
32
32
8
8
16
4
4
4
16
16
16
16
16
0
0
8
8
8
8
8
8
8
8
0
0
0
0
8
16
16
16
16
16
8
8
8
8
8
2
2
20
12
8
12
0
8
8
8
0
0
8
17
1
1
1
1
1
1
8
8
0
0
8
32
0
1
1
1
1
8
0
0
0
8
4
16
16
24
24
8
0
16
16
16
16
16
16
16
16
8
8
8
0
0
0
0
2
4
8
16
17
4
17
17
1
16
57
57
57
28
28
28
0
0
8
8
1
24
4
4
4
40
40
0
0
9
8
8
0
2
2
2
2
2
4
8
8
16
8
16
16
20
18
10
10
8
24
24
16
1
1
1
0
0
0
32
32
1
1
1
1
1
16
16
16
16
16
16
16
16
16
16
16
16
16
38
0
1
1
2
2
24
8
8
8
0
0
8
8
8
24
24
8
8
8
8
8
8
1
1
1
0
5
5
1
4
2
2
2
2
2
16
16
16
16
8
8
8
8
0
0
8
2
8
0
16
16
16
0
0
0
0
8
16
16
32
9
9
9
9
8
0
40
32
0
0
0
0
0
0
0
32
32
4
36
36
36
36
36
36
4
4
0
0
0
0
16
16
0
0
16
16
16
4
8
12
8
8
24
0
4
4
4
4
1
2
2
2
8
8
8
8
8
8
8
8
8
8
8
8
8
16
16
16
16
8
8
8
8
8
18
18
18
16
16
16
16
8
8
0
0
8
8
8
8
8
4
12
12
16
0
0
20
8
8
8
8
2
2
2
2
2
0
0
4
49
49
8
8
8
8
8
1
1
16
16
16
16
16
16
16
16
0
0
8
8
8
4
8
32
8
16
16
16
0
0
8
8
16
16
16
20
0
8
0
0
8
8
0
0
8
8
8
8
8
8
6
6
6
0
40
0
0
0
0
0
0
0
0
0
4
4
4
4
4
8
8
8
4
4
4
4
8
8
32
16
0
16
16
8
8
8
8
8
0
1
56
16
8
4
4
8
16
2
2
8
32
32
8
8
0
0
1
1
16
16
0
0
0
16
16
16
16
1
1
1
8
0
8
0
10
2
2
2
2
2
1
8
8
2
2
8
8
0
0
0
0
0
0
0
0
0
0
13
0
0
1
1
0
0
0
0
0
16
1
1
16
16
16
16
1
16
17
8
8
8
8
2
2
2
16
16
16
0
16
16
16
16
16
40
4
2
0
16
16
16
16
1
1
1
1
1
0
0
2
2
2
2
2
2
17
17
16
0
8
16
16
2
16
0
8
8
20
20
4
4
0
0
8
24
24
24
24
24
8
16
4
16
16
16
16
16
16
16
16
8
8
8
41
8
8
8
8
8
8
8
16
8
0
0
8
24
24
11
16
2
2
0
0
0
0
16
16
40
8
26
24
24
1
1
17
1
0
0
8
8
8
8
8
8
0
0
0
8
8
8
12
16
16
8
8
8
4
2
6
0
0
32
16
0
0
16
16
16
16
2
2
2
2
8
16
16
0
0
0
0
8
12
16
16
16
16
16
16
20
8
8
8
0
0
0
0
8
8
8
8
4
0
8
8
4
0
0
0
0
0
16
16
16
16
16
16
24
16
4
12
4
4
4
0
8
8
8
8
8
8
32
32
32
32
8
8
8
0
0
4
4
4
0
0
8
8
0
0
0
0
24
26
24
0
1
1
9
1
1
1
1
1
8
0
0
16
8
1
1
1
1
1
1
1
16
8
8
8
8
8
0
0
2
2
2
8
8
8
16
16
0
0
16
16
16
8
8
24
40
4
8
4
8
29
13
13
13
8
8
8
1
1
8
8
12
12
12
12
8
0
16
0
8
8
16
16
16
16
0
0
2
2
2
2
0
4
4
0
0
0
24
16
16
8
2
2
16
16
8
8
16
16
16
8
8
8
0
16
16
16
16
16
8
0
8
8
8
8
8
32
32
32
32
2
2
1
8
1
1
16
16
16
1
32
4
8
8
0
0
0
0
0
8
0
0
0
0
0
8
8
8
8
1
1
1
16
1
8
8
8
8
8
2
2
2
2
2
2
2
8
32
48
48
48
0
8
8
8
8
8
8
1
28
12
32
1
16
17
17
17
17
17
16
16
16
24
16
8
0
4
4
4
8
2
2
2
8
8
0
16
16
16
16
2
16
8
8
16
16
8
8
8
1
17
8
8
8
8
8
8
8
8
8
8
32
1
1
1
16
0
16
16
16
16
16
16
16
0
16
16
0
0
8
8
16
8
8
8
32
4
8
2
2
2
4
4
0
16
0
0
0
0
0
24
8
0
4
4
32
0
16
16
16
16
16
16
16
16
16
16
1
8
16
24
0
0
0
0
2
8
57
57
0
0
0
16
8
8
8
8
8
2
18
10
1
1
0
0
0
8
8
8
8
48
16
16
16
16
24
24
24
24
24
8
8
8
8
4
4
4
17
0
0
0
0
0
8
4
4
8
8
8
16
4
4
4
4
0
17
17
1
2
8
16
0
0
0
4
4
0
4
4
4
41
41
41
0
0
16
16
16
8
8
8
8
8
8
8
1
1
8
16
16
8
8
0
0
16
24
24
16
8
32
8
8
8
5
0
16
16
4
16
16
16
0
0
0
18
8
16
16
16
9
9
9
8
12
12
0
0
0
16
16
32
32
16
16
16
16
33
32
32
2
32
8
8
8
8
8
8
0
0
1
1
4
4
4
4
4
32
32
1
1
16
16
20
28
17
17
17
32
32
8
8
8
0
8
8
0
8
8
8
8
8
0
16
16
8
24
24
8
16
8
8
8
8
8
8
8
0
8
8
8
8
9
1
32
0
0
17
4
4
16
16
16
16
2
16
16
16
16
16
16
8
1
1
0
1
1
24
24
0
16
4
4
4
0
0
0
8
8
0
0
0
0
0
0
0
0
0
8
2
16
16
16
16
2
2
8
8
8
16
16
16
8
8
8
8
8
8
8
32
32
32
32
0
32
8
8
8
8
8
8
0
2
2
0
1
1
0
0
0
0
4
8
8
8
2
2
2
0
8
8
0
0
0
0
16
17
1
17
17
16
0
0
0
0
0
8
24
32
32
32
32
0
0
8
4
4
4
8
8
8
8
8
8
17
16
16
35
0
0
32
32
0
1
1
0
0
2
1
3
1
0
0
18
18
16
9
16
25
8
2
9
8
8
8
8
8
8
8
8
8
24
4
4
8
24
24
24
24
16
16
16
16
18
0
8
8
0
0
0
16
16
8
1
1
0
0
0
0
0
16
16
16
16
4
4
4
4
4
0
0
0
0
8
8
8
16
16
4
4
4
0
8
8
8
0
0
0
0
0
0
32
48
16
16
16
16
0
0
16
16
8
8
8
8
17
17
8
16
8
8
8
8
8
8
8
8
8
8
16
16
16
16
16
16
16
4
4
4
4
16
16
16
16
8
8
8
0
0
0
0
0
8
8
1
0
0
16
24
8
8
8
4
4
4
4
0
8
8
0
1
1
0
0
1
1
8
8
8
8
8
8
8
2
0
0
8
8
4
8
8
8
0
32
0
0
0
0
8
8
8
8
8
20
4
4
32
32
32
32
32
8
16
16
16
16
16
1
1
28
8
8
16
24
24
8
9
9
8
8
8
0
0
0
5
0
0
0
0
0
16
16
16
16
16
16
8
0
0
0
16
0
18
18
16
16
16
16
16
0
0
8
8
1
1
1
29
29
29
29
29
29
29
29
29
4
0
0
32
32
8
8
0
6
0
8
8
0
4
8
12
12
16
1
0
0
16
16
16
16
8
8
0
0
6
2
33
8
8
32
32
32
32
32
16
16
0
0
10
10
8
8
8
8
8
8
1
1
8
8
8
8
8
8
8
16
8
16
16
16
16
16
16
16
16
16
8
3
24
0
0
49
4
4
0
0
0
2
2
2
2
1
1
1
0
0
16
16
16
16
0
18
18
18
0
8
17
17
16
17
4
0
8
8
8
0
8
0
0
0
0
0
8
16
17
1
1
1
0
2
2
2
2
0
0
16
52
52
52
52
52
8
8
40
16
8
8
8
1
32
32
32
0
0
8
8
4
4
0
0
0
0
8
0
0
8
8
4
4
4
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
0
16
0
32
33
33
1
32
32
16
32
32
32
0
8
0
4
16
8
8
8
0
0
16
16
1
8
8
8
8
12
8
16
16
16
16
24
24
6
6
6
1
0
0
0
16
16
8
8
8
8
0
24
26
8
8
8
8
34
34
34
16
16
16
16
16
16
16
16
0
0
0
17
2
3
3
0
8
8
8
8
0
0
8
16
16
16
8
8
8
8
2
0
8
8
8
8
32
32
32
8
8
8
2
0
16
8
8
16
16
16
16
17
17
17
16
24
24
0
0
8
8
0
32
32
32
32
16
16
0
16
8
1
1
32
1
1
16
16
1
8
16
16
16
16
16
16
16
0
1
4
2
2
2
2
16
16
16
8
16
16
16
2
32
32
32
2
2
0
0
0
0
9
32
0
4
4
4
4
4
16
8
8
36
36
0
0
8
8
24
8
29
8
9
8
24
4
4
4
4
4
4
4
4
4
16
16
16
16
16
16
34
2
2
32
2
2
2
0
8
8
8
8
16
16
16
8
8
8
8
0
0
0
0
0
9
9
9
9
9
9
9
16
16
8
12
8
8
8
0
0
0
0
0
0
0
11
11
1
1
0
16
16
16
16
8
2
2
8
0
0
0
4
4
8
16
16
16
3
3
3
3
8
8
8
8
16
16
16
16
8
16
0
0
0
1
16
0
8
8
24
16
16
16
16
16
8
0
0
0
0
32
32
32
8
8
16
16
16
16
16
16
16
2
0
0
0
4
4
0
4
4
12
4
4
4
4
4
4
4
4
0
8
16
16
0
0
8
0
0
8
8
0
16
8
8
0
0
0
16
16
8
8
8
8
8
8
8
8
8
1
0
0
8
8
8
8
2
2
24
18
18
8
8
8
9
8
8
8
8
8
8
8
8
8
8
16
26
16
16
1
16
16
16
16
16
1
1
1
9
9
2
2
16
16
0
2
2
2
2
2
16
16
16
16
0
0
62
0
0
25
8
8
8
8
8
8
8
8
8
16
16
16
16
8
8
8
49
49
1
40
33
12
8
4
8
2
2
8
12
4
16
1
28
28
28
8
4
4
4
32
8
0
16
16
0
0
8
6
0
8
8
24
8
8
8
8
8
0
4
4
0
0
8
8
4
4
0
0
8
8
8
0
8
0
0
0
0
24
16
0
0
0
8
8
8
8
8
28
8
8
0
0
1
1
4
16
16
8
8
2
2
18
2
1
1
8
8
8
0
0
0
6
8
2
8
16
16
0
9
1
1
18
18
18
18
32
8
8
0
0
16
16
8
16
16
16
16
16
16
16
17
16
8
1
1
0
0
0
1
1
1
2
2
2
8
8
8
8
8
8
8
8
8
8
1
1
1
0
2
2
32
32
10
10
10
10
10
10
8
8
0
0
0
0
0
4
2
2
8
8
8
8
16
16
16
0
20
0
28
8
8
8
8
8
8
8
8
8
8
1
8
8
1
16
12
8
8
8
8
33
33
40
40
40
8
8
16
16
16
16
0
4
8
0
0
0
2
2
2
2
8
8
8
8
8
8
8
1
1
1
1
1
1
0
8
8
8
1
1
4
24
16
8
16
16
16
16
1
3
1
0
0
0
0
16
16
16
8
8
8
0
16
16
16
8
16
16
8
8
8
8
0
4
4
8
0
0
0
8
8
8
8
8
8
8
0
0
16
16
8
8
0
0
0
4
0
2
2
2
2
2
16
32
0
8
16
8
0
1
1
1
1
1
32
32
9
9
9
9
9
4
4
4
4
8
17
17
8
9
16
16
16
0
8
8
2
24
8
8
16
0
0
16
16
16
16
9
8
0
0
0
0
0
16
16
8
0
0
0
1
1
1
1
1
1
1
1
18
2
2
16
16
16
48
48
0
0
0
16
0
8
8
8
8
8
8
8
32
32
20
20
20
0
12
46
62
12
16
0
8
8
8
8
0
8
8
8
0
0
0
16
16
16
8
4
2
12
0
8
8
12
4
24
0
0
8
8
8
8
8
8
0
0
0
8
16
16
0
0
0
0
16
16
16
0
16
0
1
16
16
16
16
0
0
26
26
32
0
0
8
8
8
8
8
12
4
8
8
8
8
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
40
8
8
0
0
0
16
16
24
8
1
1
1
1
32
32
16
16
0
0
0
0
8
17
17
17
17
8
0
25
1
1
8
16
8
24
8
8
16
16
16
1
1
1
1
8
0
0
16
16
16
16
8
24
8
8
8
8
0
16
16
16
16
0
8
8
8
8
32
32
32
32
32
1
17
17
4
4
1
8
8
8
1
2
17
1
1
1
8
8
8
24
8
8
0
0
16
8
8
8
1
16
16
16
16
16
24
24
24
24
8
0
0
0
0
16
16
8
8
8
8
8
16
16
16
8
8
8
8
8
4
8
4
9
1
1
1
0
0
0
0
0
8
8
8
16
0
16
16
32
32
2
2
20
16
16
4
0
6
6
4
4
8
9
8
8
8
24
24
24
1
1
20
0
0
0
9
16
0
16
16
16
9
0
40
40
8
8
8
8
1
24
2
2
16
8
8
16
16
0
8
34
2
2
24
28
24
1
8
8
8
8
8
0
0
4
8
8
8
8
9
16
16
8
8
8
0
0
8
8
8
16
16
1
1
16
16
4
4
4
4
8
8
8
8
32
32
32
8
8
8
0
8
8
8
8
8
8
8
0
0
0
0
0
8
8
8
0
0
16
16
0
16
8
8
8
8
8
8
0
0
8
8
8
8
16
16
16
8
8
8
8
1
0
0
0
0
8
8
8
0
0
32
8
8
8
8
8
8
8
2
4
8
8
8
8
0
16
16
19
19
19
19
19
19
8
8
8
8
8
1
1
1
0
16
16
8
8
16
2
2
8
16
30
0
2
1
19
8
1
0
8
8
8
9
9
0
4
8
8
8
8
8
8
8
8
8
8
8
8
8
8
16
16
16
2
16
16
0
0
0
0
0
0
48
48
0
0
0
0
4
0
0
2
2
8
0
18
18
8
16
16
16
16
8
8
24
24
24
17
0
16
16
16
16
16
8
8
0
0
20
16
16
16
16
8
8
16
16
32
32
32
32
32
1
1
8
8
8
8
8
1
0
0
0
0
4
4
12
8
24
0
4
4
1
1
1
1
4
4
16
16
16
8
8
16
8
8
8
14
14
14
8
8
8
8
8
8
0
0
0
8
0
16
32
32
32
32
32
16
16
2
2
2
1
0
0
0
0
0
0
8
16
16
16
16
8
8
0
0
0
0
0
0
0
0
0
16
16
16
16
16
8
8
0
0
0
0
0
4
4
4
4
0
0
0
0
0
0
0
0
16
16
0
8
8
8
8
8
1
0
0
32
32
32
4
4
4
8
8
1
16
0
0
0
0
0
0
0
8
60
4
0
0
1
0
8
8
8
18
2
28
0
8
8
16
16
24
8
8
16
0
0
0
0
0
4
4
6
16
16
16
4
32
32
32
8
0
0
0
0
8
8
8
8
8
16
8
0
16
16
4
4
4
16
16
8
8
8
0
8
8
8
8
8
8
0
0
16
16
0
0
0
0
0
0
1
0
16
16
32
32
8
0
16
16
0
0
0
8
0
16
16
21
0
8
8
8
8
8
1
16
2
2
2
2
2
2
2
2
32
32
0
0
16
8
2
8
16
0
0
4
4
0
8
8
8
16
16
4
0
0
0
8
8
8
18
0
8
8
0
8
8
1
0
0
8
8
8
8
8
8
8
8
8
16
8
8
16
4
0
0
0
8
8
8
0
0
22
20
0
8
2
10
2
6
4
0
16
16
16
0
16
8
8
8
0
2
0
0
0
0
0
0
0
0
0
8
4
16
16
8
16
25
0
4
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
24
24
2
2
2
0
0
16
16
0
0
8
8
0
1
1
1
8
8
8
8
20
2
0
48
48
8
0
0
0
0
0
0
0
0
0
16
16
40
8
8
4
4
4
20
1
1
8
24
24
8
0
18
17
17
8
8
8
0
0
8
19
19
8
4
4
1
1
0
0
0
0
1
1
0
16
16
0
8
24
8
8
0
4
4
8
8
8
8
32
0
1
8
2
16
16
8
0
0
2
2
8
8
0
1
10
11
11
0
0
0
8
0
9
0
0
16
16
16
16
0
32
0
0
4
0
0
0
4
4
4
4
24
24
24
8
8
8
8
8
8
8
16
16
16
1
16
16
16
2
32
0
8
0
24
24
4
0
0
0
0
0
1
5
5
0
1
0
0
0
0
8
8
8
8
8
8
8
8
16
16
27
16
8
8
8
4
4
8
0
4
4
4
0
0
16
0
8
8
8
2
2
18
0
16
3
2
0
0
8
8
8
0
16
16
1
0
4
4
17
17
0
0
8
8
0
0
0
0
0
0
0
1
1
8
0
12
12
0
20
0
0
1
0
4
8
2
16
24
16
0
8
8
8
16
16
8
0
16
16
16
16
16
8
8
8
24
8
0
0
1
8
8
16
8
8
8
8
8
0
8
8
8
0
8
0
16
16
8
1
1
4
8
16
16
16
1
16
0
32
4
16
8
28
16
34
34
0
0
8
8
8
0
16
24
24
4
0
8
2
4
6
4
16
0
0
0
0
0
4
0
0
0
0
0
0
0
0
4
16
16
4
0
0
0
8
8
2
2
2
2
0
16
8
8
8
12
8
8
18
2
0
0
0
2
2
0
0
0
0
0
0
0
0
0
1
1
8
4
8
8
8
16
8
8
0
0
0
4
4
8
25
0
0
0
16
16
0
0
24
8
8
8
8
8
1
1
1
1
8
8
0
0
8
3
16
16
16
8
2
34
0
0
0
0
0
8
8
8
0
8
8
8
0
1
1
1
2
2
0
16
0
0
0
4
24
8
0
0
0
0
0
16
0
0
16
16
8
16
16
8
0
0
0
2
2
3
0
0
0
0
0
0
16
4
32
8
8
0
16
0
4
4
4
4
0
0
16
16
24
24
0
1
1
16
16
16
8
8
8
8
8
0
8
8
8
0
8
8
8
16
8
17
4
36
0
0
1
1
1
1
8
8
0
8
8
0
0
1
4
12
8
0
0
8
0
0
0
48
48
16
0
0
8
8
0
0
0
0
0
1
1
0
24
8
0
4
4
4
8
8
8
8
32
32
10
10
0
0
0
4
4
4
0
0
20
16
4
8
8
8
8
8
8
8
8
8
2
32
32
32
8
8
8
0
12
8
16
0
16
16
4
24
24
1
16
16
16
16
24
24
4
4
4
8
0
20
20
0
4
20
1
1
1
1
0
0
0
0
0
0
16
4
20
16
16
16
0
0
0
0
0
0
1
0
0
0
4
8
0
8
8
16
16
16
16
16
16
16
16
16
16
16
4
4
0
0
16
16
16
8
8
0
8
0
0
0
8
0
2
2
17
17
0
0
16
1
16
16
16
16
17
17
16
16
0
0
0
8
17
1
16
16
16
8
8
8
4
4
4
4
0
4
0
0
16
0
8
8
8
8
0
8
8
0
0
0
16
8
8
8
8
9
9
32
0
0
4
0
4
4
24
16
0
0
8
1
2
4
0
8
8
8
8
0
0
16
0
8
8
8
4
4
8
8
8
4
4
4
0
4
4
1
0
9
0
8
0
8
8
8
0
0
0
8
8
0
0
0
0
60
60
32
8
0
12
12
16
16
4
8
8
8
8
4
4
2
1
4
8
8
12
0
2
0
4
0
0
0
0
0
16
8
12
12
12
0
8
8
8
8
8
20
20
9
9
1
1
8
8
2
0
0
4
4
4
8
1
1
0
0
16
16
16
0
8
8
1
0
6
32
8
8
8
20
16
18
2
8
1
1
8
8
0
0
0
0
0
0
34
8
42
22
20
0
32
0
0
0
0
0
0
12
8
8
0
16
16
16
20
20
2
2
3
19
8
8
8
0
8
8
2
8
8
8
8
8
8
1
1
0
16
12
8
0
0
0
0
4
24
17
17
17
25
4
4
4
0
16
16
20
1
1
8
8
8
8
0
0
0
0
16
16
16
24
16
0
0
8
0
0
4
4
24
16
0
8
8
8
8
16
16
40
20
1
8
16
16
16
16
8
8
8
8
8
8
8
4
4
4
0
2
8
8
8
0
0
0
0
0
24
0
8
8
8
8
8
0
1
0
16
16
16
0
2
2
0
8
8
16
16
0
16
16
0
0
19
0
2
2
2
2
1
1
0
0
0
16
16
16
8
0
0
0
0
16
16
2
16
32
0
8
16
16
24
16
0
0
0
32
32
16
2
0
12
16
8
8
2
2
0
16
0
8
24
8
16
8
8
8
8
8
8
1
9
9
24
0
16
0
4
4
4
4
4
2
2
0
0
0
60
8
8
0
4
8
8
8
8
8
0
0
0
0
0
1
16
17
1
1
0
2
8
10
0
8
8
8
8
40
44
4
8
8
16
16
16
16
0
12
4
8
8
8
8
16
0
1
1
1
0
2
4
1
8
8
8
32
0
8
2
2
1
1
1
1
4
4
4
16
16
16
8
16
16
0
29
0
0
2
2
8
12
30
12
12
1
0
0
0
4
16
16
0
8
8
8
8
2
28
0
0
16
16
16
16
0
8
8
8
8
16
16
24
24
24
24
24
8
18
18
2
2
0
0
16
16
8
8
1
8
8
8
0
16
0
1
1
24
0
8
8
0
2
2
21
1
1
0
0
0
0
0
0
17
0
0
0
0
0
8
8
8
0
6
2
8
8
8
8
8
8
0
0
8
8
24
16
16
8
8
2
2
0
8
8
0
0
0
1
8
8
12
12
12
12
8
0
16
0
24
24
2
0
4
0
8
8
24
8
24
8
8
8
0
0
0
0
10
10
2
2
2
2
2
2
16
8
8
4
0
0
0
16
0
0
0
0
1
0
8
8
0
0
0
0
0
1
1
0
0
6
8
0
9
9
1
0
8
8
0
0
8
16
16
60
0
0
0
0
0
8
4
24
24
32
0
0
0
2
57
41
41
8
8
8
8
8
17
0
0
0
1
1
8
1
0
0
5
0
0
0
0
0
4
20
0
0
24
4
12
28
28
0
0
8
0
2
16
16
0
0
2
8
8
16
6
6
0
16
0
16
16
8
16
16
16
8
8
16
16
2
8
8
0
12
8
8
8
8
1
8
0
1
1
8
12
16
16
16
8
8
0
0
0
0
8
8
4
32
2
2
2
2
20
0
0
0
0
16
0
0
8
8
16
16
16
8
0
0
16
24
0
0
41
2
2
0
0
8
24
24
24
24
0
0
12
16
16
2
16
16
16
16
2
2
2
0
0
0
32
32
32
0
0
0
0
8
8
8
8
8
0
4
4
4
0
0
12
8
8
8
16
4
0
16
16
8
8
8
16
0
0
0
0
48
9
9
9
8
0
16
0
2
16
8
8
8
8
8
8
0
0
0
18
16
22
0
0
30
24
0
16
16
0
4
0
8
24
8
8
16
16
2
8
18
4
1
1
32
32
32
32
32
32
32
0
0
8
8
16
0
0
16
16
16
7
16
0
4
4
4
4
16
16
16
1
16
16
16
16
0
28
16
16
28
28
0
0
16
16
16
4
8
8
26
26
26
8
8
34
32
32
8
8
8
8
8
8
1
0
0
0
32
16
16
25
40
40
40
4
8
8
0
0
16
8
8
0
8
16
16
1
1
8
8
8
8
8
24
24
24
0
0
12
12
12
1
10
8
0
8
8
0
16
8
4
4
17
17
0
0
16
16
4
16
0
8
8
16
16
1
0
0
16
16
16
16
8
24
0
8
0
0
16
8
16
0
16
8
8
0
9
0
0
4
16
16
0
16
16
16
16
0
34
34
1
8
8
16
4
4
0
0
0
4
8
1
24
16
16
16
4
4
4
4
4
4
4
4
4
8
8
8
8
8
8
16
16
16
4
1
1
16
16
1
8
8
8
24
8
8
0
0
2
0
0
16
16
1
1
0
0
8
44
44
8
0
0
1
16
16
0
16
0
16
4
4
4
4
4
0
8
0
8
8
0
16
16
16
0
0
0
0
0
8
24
2
8
8
0
0
16
4
4
4
4
4
0
2
2
2
2
18
22
18
22
16
8
8
8
16
16
8
8
4
8
0
0
8
4
8
16
16
16
16
0
8
32
8
0
2
16
16
0
8
2
2
16
16
8
8
16
1
8
32
4
8
16
8
8
8
2
2
0
0
16
16
16
61
8
8
0
0
4
4
4
4
4
8
8
8
8
0
0
8
8
8
8
16
8
16
0
0
8
0
0
8
17
8
8
8
8
8
8
8
32
8
8
4
18
16
8
17
0
32
0
4
0
0
16
16
0
26
24
0
16
0
9
9
2
0
16
16
0
0
24
8
0
8
0
16
16
16
8
8
8
0
0
0
0
0
8
8
8
0
0
0
4
4
8
8
8
8
8
0
0
0
4
4
8
8
0
0
0
8
2
2
2
11
0
0
8
2
2
2
24
16
8
8
2
8
2
0
2
2
2
0
0
16
8
16
0
16
16
16
16
8
0
8
0
2
2
8
8
8
8
8
24
4
24
4
4
4
4
8
16
16
32
0
2
12
4
25
8
8
8
0
0
0
0
24
24
24
0
0
26
26
0
0
16
1
1
1
1
0
1
0
0
4
4
4
20
0
24
4
0
0
16
24
8
8
16
16
16
16
16
4
4
16
16
16
0
1
0
16
8
24
24
8
8
12
4
4
16
8
0
16
16
0
0
48
2
2
2
8
4
4
16
16
8
2
8
16
16
16
16
0
2
2
2
2
2
16
16
16
8
8
0
0
8
8
0
40
16
16
1
0
8
1
16
6
6
6
0
0
8
1
0
0
16
8
8
8
24
0
8
8
8
8
8
8
8
8
8
0
0
0
2
2
1
4
4
18
8
8
18
8
1
1
16
0
0
0
8
8
60
60
8
0
0
0
16
16
2
0
0
0
2
2
16
0
0
0
2
0
0
0
16
1
1
24
8
0
16
0
4
4
8
1
16
24
24
59
0
0
0
0
0
0
4
16
0
8
8
8
8
2
2
0
0
18
8
8
8
8
32
32
4
4
0
0
0
1
1
32
0
16
16
16
9
9
22
0
0
4
4
4
4
4
0
0
0
0
0
0
17
0
0
0
2
2
2
2
2
4
0
16
8
8
16
16
0
0
8
0
8
4
1
0
0
8
0
0
16
12
20
16
16
19
1
1
1
0
0
0
0
0
0
20
8
0
2
0
0
1
8
12
1
1
1
1
1
1
1
1
1
1
8
0
0
8
8
8
0
16
9
16
16
16
32
32
8
0
16
0
2
18
8
48
48
9
4
4
8
8
1
1
1
1
17
16
25
9
0
16
16
0
16
0
0
16
0
0
0
32
8
8
1
1
4
2
2
2
2
2
2
8
0
0
16
16
16
0
0
0
24
5
5
0
0
0
0
0
32
10
10
2
2
3
3
3
0
16
16
16
16
48
0
0
0
8
1
20
4
4
4
0
26
26
24
9
9
0
8
8
4
4
4
6
0
0
0
0
0
0
0
16
24
8
32
8
8
0
0
0
8
8
8
8
8
1
0
0
0
0
8
5
0
16
16
16
0
8
8
8
8
0
0
8
8
8
0
0
0
0
40
0
2
8
8
16
0
16
16
16
8
0
0
8
8
8
8
8
8
16
16
16
16
16
8
8
8
8
2
2
2
2
2
8
8
0
8
0
0
0
16
1
8
8
21
21
21
16
16
16
16
0
0
0
0
16
24
8
2
8
8
4
1
8
8
8
0
6
0
8
8
8
0
16
8
24
8
8
0
8
8
4
4
4
4
4
0
2
8
8
16
0
0
16
8
8
6
6
0
0
8
8
8
8
16
16
16
16
16
2
2
0
0
0
0
0
4
4
4
6
33
33
0
8
8
8
8
16
0
2
2
0
0
0
0
0
0
1
0
8
8
30
4
0
8
0
8
8
8
8
16
16
4
4
16
0
24
24
0
0
0
0
20
0
8
16
16
4
8
8
8
0
0
0
0
0
2
0
0
0
0
0
8
8
8
8
25
0
0
2
2
2
2
0
0
2
8
10
0
25
0
28
24
24
0
0
16
0
16
1
8
8
0
8
60
8
8
0
0
8
0
0
0
16
0
16
16
8
24
24
8
8
16
0
8
2
2
4
12
12
0
0
0
4
4
8
0
0
0
0
4
0
8
8
8
8
18
18
8
8
8
8
6
6
6
2
2
2
2
4
4
0
8
8
8
16
16
16
0
18
0
0
0
0
0
32
16
8
8
8
16
24
24
24
8
8
8
16
2
0
16
16
8
0
0
4
32
32
0
0
0
16
8
36
8
8
8
8
16
16
0
0
0
0
0
4
0
0
8
0
0
8
8
8
16
8
16
1
0
0
0
32
0
0
16
16
16
8
8
3
3
8
4
24
8
0
16
5
0
0
12
4
4
4
4
4
0
1
17
0
0
0
0
16
8
8
0
2
0
8
8
0
8
16
16
8
8
8
8
8
16
1
0
16
8
8
0
24
24
8
8
1
0
1
1
8
8
8
16
2
2
2
2
2
0
16
0
0
0
0
8
16
0
0
16
4
16
4
4
0
0
0
0
8
0
0
16
16
16
16
16
16
1
1
4
4
4
4
0
0
0
16
0
1
1
0
0
0
0
8
1
1
1
0
0
16
16
16
25
25
8
8
8
8
0
0
0
0
0
8
8
8
8
4
2
2
2
33
49
8
8
8
9
1
1
24
16
16
16
16
16
16
16
16
2
0
16
8
24
0
0
0
8
4
2
2
2
2
2
8
8
0
0
0
0
1
1
0
8
4
4
2
24
24
24
2
2
0
0
0
0
0
0
0
0
0
8
0
0
16
1
4
16
4
4
1
1
1
16
16
0
0
8
16
8
0
0
0
16
0
0
0
4
6
8
8
1
1
1
0
0
16
16
16
16
16
16
1
16
10
24
10
16
0
2
2
2
2
2
8
8
8
8
8
0
0
20
20
8
8
0
0
0
0
24
24
0
0
4
4
8
8
0
0
1
1
1
16
4
8
8
16
8
8
8
0
0
16
16
19
16
0
8
8
16
16
16
16
16
8
16
8
8
16
0
8
0
16
8
8
8
8
8
8
8
32
32
0
0
0
8
1
1
0
16
8
12
8
0
24
8
8
16
8
8
0
4
8
8
8
8
0
0
0
18
24
4
4
0
8
8
4
4
0
20
4
8
8
8
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
16
16
0
0
0
0
0
0
0
0
4
4
4
4
4
16
0
24
24
0
0
20
8
24
24
24
8
12
16
16
16
2
2
8
8
16
8
0
0
0
0
4
4
0
0
0
0
0
0
0
0
16
16
0
1
1
0
2
2
0
8
8
0
0
0
8
8
8
0
0
1
0
8
1
16
8
0
24
24
0
0
57
4
0
0
0
4
4
0
0
8
35
35
0
1
1
1
1
1
0
8
0
32
32
8
8
8
0
16
0
0
0
0
4
16
16
16
32
32
2
2
2
24
8
8
0
16
16
8
0
0
8
8
0
0
16
16
0
2
8
8
24
24
4
4
30
0
0
0
8
4
4
0
0
16
16
8
8
8
1
8
8
8
8
8
2
0
0
0
1
1
0
0
8
8
0
8
8
8
25
24
24
8
8
8
43
0
0
0
0
0
8
0
0
0
4
4
4
4
0
0
16
0
0
8
8
9
0
0
4
0
4
4
4
12
12
12
12
8
8
0
0
4
36
0
0
0
0
24
1
1
1
1
8
8
8
12
0
8
8
8
2
2
2
2
8
8
8
8
8
8
0
16
1
8
8
8
8
16
0
0
16
16
0
0
0
0
32
4
0
0
16
17
0
0
34
2
2
0
17
32
32
32
8
8
8
0
0
16
16
16
16
16
16
4
8
8
8
8
8
8
0
8
8
8
8
16
16
12
8
8
8
8
2
0
2
9
5
24
24
24
24
4
4
20
20
0
1
0
4
1
1
1
1
32
16
16
0
0
0
0
0
16
16
16
0
28
28
4
16
16
16
16
16
2
0
0
24
8
8
8
0
8
8
24
8
8
8
0
8
0
8
25
0
8
8
8
0
8
8
8
8
8
22
20
35
0
0
0
0
8
8
0
0
0
0
8
8
8
0
16
8
8
0
1
1
1
12
12
12
8
17
16
1
1
1
1
1
1
1
1
8
8
16
16
16
16
16
22
16
16
8
8
1
1
1
32
16
16
20
20
20
0
0
8
8
8
24
24
16
0
4
8
0
0
0
0
4
4
24
1
1
8
0
0
8
16
20
1
0
16
8
0
0
0
0
16
16
0
4
12
8
8
16
16
0
4
8
8
0
24
56
8
1
1
0
0
0
0
8
8
0
4
4
16
16
1
17
2
8
16
16
8
8
8
8
0
0
8
0
16
16
37
16
16
16
16
27
27
27
16
8
0
8
8
16
20
8
8
0
0
1
0
0
8
8
0
16
16
16
16
16
16
16
8
8
8
0
8
16
16
16
8
8
16
0
0
0
16
16
24
24
8
5
1
0
0
0
0
0
8
8
8
0
9
9
8
16
8
8
4
0
8
4
2
2
0
0
60
60
60
16
16
16
0
4
4
8
8
0
0
0
16
6
6
6
0
0
8
8
8
8
0
8
8
8
8
0
2
0
32
0
17
2
8
10
0
0
0
4
8
4
4
16
0
1
1
1
1
0
24
8
8
16
16
4
4
1
1
1
1
1
0
16
16
0
16
48
8
0
8
8
4
4
4
16
16
16
4
4
0
8
8
8
16
16
2
1
1
1
49
0
8
8
8
0
0
0
16
0
0
8
8
8
8
5
42
42
8
8
0
0
16
8
16
0
8
8
8
8
0
0
0
0
60
60
60
0
0
0
8
8
8
4
4
4
4
4
24
24
0
16
16
16
16
16
16
0
24
24
1
0
0
16
16
24
8
20
8
8
8
8
8
16
4
4
0
8
8
8
16
12
12
12
12
12
1
16
16
16
16
8
0
16
16
8
8
0
4
1
1
1
8
8
8
0
0
1
1
0
16
8
0
0
0
0
32
32
32
32
8
8
8
8
8
2
0
0
20
8
8
4
4
4
4
12
12
2
0
0
33
37
37
1
16
16
16
8
8
24
16
24
16
16
8
16
16
16
16
16
16
16
16
16
1
0
8
8
0
0
0
0
8
8
20
16
16
13
8
4
0
24
16
16
16
0
0
0
0
0
32
0
0
0
4
20
0
4
4
0
8
1
1
16
4
4
8
8
6
8
8
8
8
8
0
0
2
2
0
16
8
8
8
0
16
16
0
0
8
8
8
0
4
4
0
24
24
24
24
24
0
0
0
0
20
0
0
0
16
0
0
0
32
32
16
16
0
32
24
8
8
8
8
8
0
1
1
1
1
8
0
0
0
16
16
24
0
8
4
4
4
0
0
0
0
0
0
1
1
1
16
16
10
9
2
0
0
0
0
0
8
8
0
1
1
0
0
4
0
0
1
0
8
8
16
17
17
0
0
4
4
4
0
0
2
32
32
32
32
8
8
24
24
16
16
16
0
16
16
0
16
16
2
2
8
0
16
16
8
8
0
24
8
0
8
8
8
8
0
0
16
1
0
0
20
57
16
16
16
8
8
0
8
8
2
2
8
17
1
1
1
1
32
0
0
0
0
8
8
8
8
0
0
1
8
0
8
8
0
24
0
24
16
1
1
1
0
0
0
16
16
17
12
8
8
8
10
4
8
8
8
12
4
4
8
8
2
2
16
20
20
32
8
2
4
8
24
8
8
8
8
8
8
0
0
24
48
16
24
9
8
8
8
16
0
0
28
4
4
0
8
16
1
1
0
4
4
4
16
8
0
1
16
16
0
16
0
0
0
0
8
8
8
0
0
0
1
9
9
8
8
8
8
8
0
1
0
0
4
4
0
32
12
0
8
8
0
0
3
2
8
8
8
8
8
8
8
16
0
16
33
33
8
24
0
0
16
16
0
0
4
4
16
16
0
4
4
1
0
4
8
8
8
8
4
8
8
8
1
0
16
16
16
16
4
0
16
8
8
0
16
1
1
0
8
20
16
16
0
20
20
0
0
0
0
0
0
1
16
16
16
0
9
9
9
0
0
0
16
0
0
0
0
16
32
0
16
0
6
6
6
21
0
0
0
9
1
32
32
4
4
4
4
12
0
32
8
40
40
40
0
4
8
0
0
0
0
57
57
57
16
4
4
1
8
8
1
1
1
4
0
0
4
0
6
8
16
8
0
0
16
16
4
8
8
0
16
16
8
24
6
4
0
8
0
24
24
24
2
2
26
8
8
16
8
1
0
0
0
0
16
16
8
8
8
0
0
8
8
8
8
8
8
8
1
4
20
2
24
24
16
8
8
0
0
0
0
0
0
0
8
8
8
8
40
8
0
6
24
16
16
0
8
8
16
16
8
0
7
7
7
2
16
16
0
16
16
16
8
25
4
4
4
8
16
0
24
0
2
2
0
1
1
8
8
8
16
16
0
0
0
0
0
8
16
16
0
0
1
1
1
0
24
8
4
8
2
2
8
4
8
8
25
8
0
2
32
32
1
1
1
0
1
8
8
8
0
20
20
1
1
1
8
8
8
4
20
20
18
32
4
4
4
4
4
0
0
0
9
16
20
1
1
34
4
4
8
8
8
8
0
0
0
4
8
0
0
0
0
8
8
16
16
0
0
6
8
0
2
4
0
0
0
18
0
2
24
8
8
8
2
0
0
0
0
0
8
16
16
0
0
0
0
0
0
0
4
4
4
0
16
0
0
0
0
0
0
1
0
24
5
17
0
20
8
8
0
0
8
0
24
0
8
16
16
16
16
16
1
1
2
8
25
16
1
32
24
24
24
0
0
24
24
8
8
16
16
16
16
0
0
0
4
34
24
24
0
0
0
0
2
2
32
32
16
16
0
0
0
16
16
8
12
16
0
0
24
0
1
8
1
0
8
0
0
8
8
8
8
4
0
0
8
8
12
8
16
8
8
1
16
0
16
16
48
48
48
16
8
8
8
8
8
0
0
0
0
24
24
0
8
8
40
8
8
0
8
8
8
8
16
18
1
16
16
16
0
16
0
8
8
8
0
18
18
8
24
9
9
9
1
1
16
16
4
4
4
4
0
16
17
16
16
16
8
16
8
8
8
8
16
0
0
0
16
0
1
0
0
0
8
8
8
8
8
0
4
16
0
0
8
8
0
0
32
32
0
16
16
0
2
8
4
13
13
13
0
32
32
4
4
4
0
0
4
4
4
0
0
20
20
0
4
0
0
4
4
0
0
0
0
0
0
4
8
16
8
8
0
0
16
16
16
0
0
4
4
4
0
16
16
16
16
2
7
16
0
8
32
32
16
16
16
24
16
16
16
0
16
8
0
8
8
1
56
56
8
8
4
8
0
0
0
8
0
16
16
16
16
16
16
16
16
16
16
16
16
16
0
0
1
0
8
8
8
4
4
4
4
4
8
8
8
8
8
24
24
0
0
2
2
3
2
8
8
0
0
0
0
4
4
8
16
16
16
16
2
4
8
0
0
0
24
4
8
8
8
8
8
8
8
0
2
2
16
8
8
4
4
8
8
16
0
0
8
16
16
8
8
0
16
8
8
8
8
8
0
4
0
0
4
0
8
8
8
0
0
0
0
16
16
16
16
8
8
8
0
8
8
8
16
16
8
0
0
0
0
0
0
8
16
16
16
0
1
0
0
16
1
0
1
20
16
8
0
0
6
0
8
16
16
8
8
8
8
8
0
0
8
4
4
1
16
38
4
4
16
16
16
4
0
0
8
24
24
24
24
8
8
8
0
0
0
24
24
24
2
8
16
16
21
21
21
8
16
16
8
8
8
8
0
1
0
24
8
8
8
8
0
0
1
0
24
24
24
24
8
8
8
8
8
6
0
0
16
0
8
16
8
8
8
8
8
8
8
8
16
24
20
20
4
16
16
16
56
4
6
0
0
20
1
1
16
18
12
17
1
1
1
0
4
4
32
4
4
4
8
0
16
16
0
24
8
8
0
32
32
0
0
0
0
0
50
0
0
8
4
8
12
8
12
16
16
13
2
10
16
16
16
16
16
8
8
2
1
24
16
0
0
16
0
17
17
0
0
8
24
8
8
8
8
8
0
0
4
1
9
9
9
9
0
0
0
0
8
8
16
16
16
16
0
2
8
8
8
8
8
8
16
4
16
16
0
8
8
8
8
8
8
0
24
24
8
27
18
0
24
16
0
8
16
8
8
8
9
9
0
20
28
8
8
8
8
16
0
4
4
16
0
8
8
8
8
2
0
0
0
1
1
25
0
8
8
8
0
24
24
0
4
0
10
2
0
16
0
24
0
8
56
8
8
8
8
8
16
16
16
16
16
4
1
2
1
0
8
8
8
0
0
0
8
8
8
8
16
32
18
2
2
16
16
0
8
8
17
17
0
8
0
8
24
24
24
0
8
0
8
8
16
16
24
0
4
16
0
0
4
16
8
8
8
8
4
6
6
6
16
17
8
16
16
6
14
0
0
0
0
16
0
16
16
0
8
0
0
1
1
8
8
8
16
16
16
16
16
16
0
0
32
1
0
0
0
0
0
0
8
8
0
0
0
0
8
8
8
1
1
49
8
8
8
8
8
0
8
0
8
0
8
8
0
0
0
0
0
0
16
16
8
16
16
16
0
0
8
8
4
4
2
1
4
4
0
0
16
0
0
8
8
0
0
8
8
8
0
24
24
8
8
8
8
8
0
0
0
0
16
24
8
8
12
1
1
1
8
0
16
4
8
0
16
0
8
10
8
2
2
8
0
8
8
16
8
4
4
0
8
8
8
0
8
0
4
4
4
4
0
0
0
0
0
0
19
18
18
4
4
4
8
8
8
8
0
0
0
6
4
4
16
0
7
16
8
40
8
0
16
0
0
0
25
16
0
0
0
12
12
12
20
6
16
8
0
0
21
4
4
4
0
0
51
0
16
16
16
8
8
8
24
24
24
1
17
3
3
16
16
16
16
10
10
0
8
8
4
4
1
1
0
24
8
0
0
16
16
16
16
8
8
8
8
4
16
8
29
29
29
1
0
0
0
8
8
8
8
8
2
21
17
8
8
8
8
0
8
16
16
0
0
0
8
0
1
2
0
8
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
48
4
8
8
9
0
0
0
0
4
0
4
4
16
16
16
0
32
0
0
16
24
16
5
4
0
19
19
16
0
0
8
8
8
0
0
0
24
16
16
0
16
22
0
28
8
8
8
20
20
20
8
8
8
2
0
8
2
2
0
8
24
0
0
16
0
16
16
8
8
8
8
8
8
8
16
16
16
16
8
0
1
0
16
0
0
8
8
4
4
4
4
1
1
0
0
4
4
0
6
8
8
2
2
8
8
8
0
8
16
0
0
0
2
8
8
0
16
16
16
8
8
16
16
16
16
16
8
0
0
4
2
2
2
0
0
4
27
18
18
16
16
48
0
4
16
0
20
2
2
8
8
8
8
6
14
6
0
0
0
0
2
4
18
16
16
16
8
16
0
2
2
16
16
16
16
16
0
16
8
24
16
8
8
0
0
0
40
0
16
16
0
0
17
17
1
1
0
8
16
16
36
9
16
16
8
8
8
8
0
8
0
16
8
8
0
17
0
8
8
16
16
16
4
4
4
8
8
8
2
2
2
2
4
4
24
12
8
5
0
0
0
8
8
8
8
8
8
8
2
0
4
16
16
16
2
2
2
2
0
0
8
24
8
8
8
8
9
9
9
0
0
0
0
1
0
0
0
0
8
8
8
8
8
0
0
12
8
1
1
1
1
1
1
0
8
8
8
8
0
0
8
1
1
1
1
4
0
7
0
0
0
0
0
8
8
8
8
8
8
16
16
0
0
0
16
0
0
16
16
16
0
0
0
0
16
16
16
16
16
8
16
16
16
16
8
8
0
0
0
8
4
0
0
28
1
1
0
0
0
8
24
0
4
0
0
56
8
0
4
4
4
16
8
20
12
12
8
24
24
4
0
0
0
0
0
32
32
32
16
0
8
16
0
1
1
24
8
8
8
1
1
0
10
8
1
1
1
1
8
8
8
16
12
8
8
8
28
28
0
0
0
16
8
48
24
8
4
0
0
8
8
8
0
4
4
4
4
8
8
8
8
0
16
28
8
0
16
8
8
9
25
59
1
1
9
8
11
16
17
8
12
8
8
4
8
8
8
8
8
0
8
0
0
8
1
0
0
0
25
25
25
3
0
4
8
8
16
16
0
0
0
0
0
0
8
8
16
0
0
0
8
1
48
2
4
0
2
16
8
0
0
16
0
0
0
8
8
0
0
0
2
0
0
2
2
0
2
0
0
0
0
16
16
0
0
0
0
8
8
8
8
8
8
8
8
0
0
0
18
18
18
0
0
1
12
0
8
12
12
12
12
24
24
0
0
8
16
8
8
8
0
20
20
8
0
44
0
16
8
8
16
0
16
16
8
8
16
0
0
3
8
8
8
18
18
50
2
2
1
26
6
16
0
0
0
8
8
8
1
1
0
16
16
16
0
8
8
8
24
24
24
0
2
24
1
4
2
2
0
0
0
0
0
0
0
4
4
0
31
8
8
8
8
4
2
2
5
4
0
0
16
16
4
17
0
0
0
0
2
2
2
2
2
2
8
8
8
8
8
8
1
8
4
4
0
0
8
8
8
8
8
8
1
1
1
0
16
1
8
16
16
48
16
32
8
0
16
0
0
16
0
16
16
0
0
16
16
8
0
0
0
0
48
4
2
2
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
4
8
8
16
8
32
1
8
8
8
0
8
2
1
1
22
16
0
0
0
4
8
8
8
0
8
1
0
0
16
0
0
0
16
0
1
0
4
4
8
0
0
1
2
2
8
2
2
2
0
0
8
0
2
4
4
20
0
0
0
4
18
17
1
0
1
25
1
0
0
16
8
8
8
8
0
0
0
0
16
16
16
0
10
24
24
24
0
32
32
18
18
8
8
8
16
0
0
0
0
4
12
16
26
8
8
16
0
0
16
32
2
2
0
0
0
0
0
8
9
8
16
8
0
8
8
16
16
0
0
2
2
2
2
44
4
4
4
1
1
0
4
4
4
4
0
0
8
8
4
40
2
2
16
16
0
0
32
0
0
2
2
8
8
8
0
0
0
0
0
8
8
8
20
20
6
6
6
0
4
24
4
24
8
1
0
0
0
0
8
8
8
8
8
8
8
8
8
8
16
16
1
16
16
24
4
8
8
8
8
18
18
18
8
8
8
0
16
16
0
0
8
8
1
1
1
1
0
0
24
24
12
4
8
2
2
0
8
8
8
8
16
16
0
2
2
2
2
16
17
0
0
0
1
1
0
4
4
0
16
16
0
0
0
0
2
0
8
8
1
0
40
8
4
16
16
48
0
2
2
2
8
2
8
8
8
0
8
8
2
2
0
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
16
16
24
16
16
0
0
32
32
16
16
16
4
12
0
0
0
0
0
0
0
0
0
8
16
0
32
8
8
8
0
0
1
1
8
8
8
16
2
0
0
16
52
32
32
32
32
32
8
8
16
0
0
8
8
16
8
8
8
8
12
25
0
8
0
0
2
4
2
2
2
40
8
16
16
0
16
16
0
0
0
0
8
10
8
8
8
0
8
0
0
8
0
0
8
0
8
8
8
8
16
16
4
8
0
0
8
8
8
8
8
8
4
8
8
8
8
8
8
8
0
0
0
16
16
16
0
0
8
8
8
8
0
0
0
1
1
1
4
32
32
16
16
8
32
32
8
0
0
0
8
8
2
2
2
0
0
0
16
0
8
9
3
4
4
4
4
4
0
0
0
2
6
4
4
4
4
8
8
20
21
0
16
16
0
0
8
8
0
0
8
2
2
0
0
0
24
24
0
0
0
16
0
8
8
8
0
2
8
0
16
16
16
8
8
8
0
8
8
8
8
0
0
4
24
4
0
0
0
18
0
8
1
0
0
16
16
4
4
1
6
6
0
8
8
8
0
8
8
8
2
0
16
8
8
8
2
8
8
8
8
8
16
16
16
4
0
0
0
0
8
0
0
16
0
20
0
1
1
0
0
0
8
1
24
2
1
8
8
8
8
8
8
8
4
0
0
8
2
2
2
2
2
0
4
6
6
6
16
16
0
0
8
0
8
8
8
8
8
32
32
16
0
8
8
8
8
0
8
24
24
16
0
8
2
2
0
0
0
8
8
0
1
1
1
0
0
0
0
0
0
0
0
0
8
8
8
8
9
0
0
1
2
2
0
0
0
8
8
16
0
0
0
16
16
16
16
0
0
0
2
0
8
0
8
8
9
8
10
10
0
0
0
0
0
0
8
8
0
8
8
8
8
8
8
8
8
4
0
0
0
0
0
0
8
0
4
4
4
8
8
8
8
8
8
8
4
8
8
0
0
4
4
0
8
8
8
0
0
0
0
8
8
0
16
4
0
16
4
4
4
4
4
16
40
44
0
24
8
0
4
4
4
4
8
16
16
16
16
8
8
0
0
16
16
16
16
8
1
1
1
1
1
1
0
0
0
0
0
8
56
0
6
4
4
1
1
1
8
8
8
8
1
0
16
16
16
0
0
0
16
10
4
0
16
8
8
0
0
0
0
0
4
0
16
16
16
0
8
16
16
16
0
8
2
0
0
8
8
8
8
0
0
18
26
8
8
17
17
0
8
8
8
8
4
8
8
8
0
0
8
8
8
8
0
32
32
9
1
1
1
8
8
0
29
29
29
29
29
29
29
29
29
29
20
4
4
4
0
0
0
0
16
16
8
8
57
57
0
24
8
8
8
8
0
0
16
5
1
0
0
8
8
8
8
8
8
8
8
8
0
8
8
8
16
16
16
31
16
16
8
0
1
29
8
0
0
8
8
8
8
8
16
0
16
16
16
16
16
16
16
0
0
8
36
8
2
8
8
8
8
0
4
4
4
8
0
28
28
28
8
8
8
8
16
24
0
1
1
25
25
2
2
8
8
16
16
16
8
8
0
16
16
0
0
20
20
20
20
20
20
0
0
8
8
8
8
8
8
8
0
8
0
8
16
16
4
4
0
16
12
12
12
12
8
8
8
8
8
0
0
0
0
9
9
0
8
8
0
8
8
8
8
32
32
24
24
0
8
8
14
14
4
10
0
0
8
8
8
12
4
0
0
8
8
8
8
8
4
12
8
0
32
4
4
1
8
4
0
1
1
3
11
16
4
4
4
8
24
24
24
8
8
8
0
8
0
0
0
0
0
0
0
4
8
8
8
0
4
4
10
8
8
8
8
8
8
8
8
16
16
8
6
2
0
16
8
8
8
8
8
8
16
0
8
8
8
8
2
2
2
2
2
2
2
2
16
16
16
8
10
10
10
10
10
8
8
4
4
8
8
8
8
4
4
0
0
0
16
8
8
8
8
16
16
16
16
0
12
12
12
12
12
12
12
12
12
0
0
20
16
0
8
8
0
4
4
0
4
16
24
16
16
8
8
8
5
5
0
2
2
2
4
16
16
16
16
16
16
0
16
24
8
16
16
8
0
8
4
4
2
2
16
16
16
0
16
16
16
0
16
8
8
0
0
8
1
1
1
1
1
1
32
0
8
8
8
0
0
8
8
8
8
8
12
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
16
0
16
0
1
16
16
16
16
16
16
8
8
8
8
2
2
2
0
0
8
16
17
16
16
16
8
0
0
8
8
8
8
8
17
16
16
16
16
16
16
16
4
4
8
8
1
1
5
5
5
8
8
4
4
4
4
0
16
16
16
1
1
16
16
0
4
0
0
4
8
8
8
8
8
8
0
0
0
0
16
16
0
0
8
8
8
8
8
0
0
0
0
0
1
24
0
4
0
0
0
8
8
0
0
0
0
0
0
15
8
1
1
0
0
0
0
1
16
16
1
1
1
1
1
1
4
4
18
16
1
1
1
1
16
16
9
9
0
0
0
16
16
16
0
2
2
16
8
16
16
16
16
8
16
8
0
8
8
8
8
8
8
8
8
0
0
8
0
8
24
0
2
2
2
32
32
32
32
16
20
8
16
28
8
8
8
8
4
20
20
0
0
0
0
1
1
8
8
8
24
24
24
16
0
0
0
0
0
2
2
1
1
1
1
1
16
0
0
0
4
4
32
24
1
8
8
8
8
8
8
17
4
8
8
8
5
5
8
8
53
0
4
4
4
4
4
4
0
0
24
0
24
24
8
16
0
12
8
8
8
8
8
8
4
4
5
5
16
16
16
32
49
32
0
0
8
0
0
0
4
4
4
8
16
17
16
49
17
16
0
16
16
2
2
2
2
10
0
4
4
4
8
8
0
4
0
2
18
20
18
16
0
0
0
0
28
8
8
8
8
8
17
8
8
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
0
16
16
16
16
22
2
0
41
41
41
41
0
16
8
24
2
16
40
8
8
2
8
8
8
16
16
0
0
16
16
16
0
8
8
24
2
2
2
0
1
1
0
2
4
4
4
2
2
8
16
24
16
4
4
4
1
0
0
4
8
14
0
0
0
0
16
8
8
8
8
56
8
8
8
16
4
16
32
0
8
8
8
8
8
8
8
16
16
16
1
1
1
1
1
9
0
0
0
32
8
0
0
0
0
0
16
16
8
16
16
8
8
8
8
0
0
8
8
8
8
8
0
8
2
0
0
0
0
14
14
0
0
8
8
8
8
8
8
8
8
8
0
0
2
20
1
1
1
2
2
2
0
0
0
0
50
50
50
0
4
4
2
2
2
0
0
0
16
16
20
18
18
1
1
8
8
8
16
16
0
1
1
1
1
0
16
8
8
8
16
16
16
16
16
16
16
2
16
16
16
8
8
8
8
16
0
0
0
3
3
3
3
2
0
16
16
0
4
0
2
25
25
25
0
4
8
8
4
4
2
8
8
8
8
0
0
0
0
0
12
47
47
34
8
8
8
8
8
8
8
16
8
8
8
8
8
0
16
16
16
16
8
0
0
0
0
4
4
16
12
12
8
1
33
16
8
16
8
8
0
4
4
16
4
4
0
1
16
0
8
8
8
8
8
8
8
40
16
16
16
0
10
1
8
0
8
8
8
1
0
8
16
0
4
1
0
32
16
16
16
16
0
33
24
8
0
8
16
16
0
16
8
8
0
0
8
0
8
8
8
2
48
8
8
8
8
8
8
8
8
8
8
0
8
8
24
24
8
8
8
8
2
2
16
0
0
0
0
0
24
2
2
32
32
16
16
24
0
8
8
24
0
8
8
8
8
8
8
8
8
0
8
28
28
8
8
8
8
8
8
2
32
8
8
8
8
8
8
8
8
1
1
1
8
8
8
24
24
24
8
44
16
16
24
0
0
0
8
8
8
8
0
0
18
18
8
16
16
16
8
16
16
4
4
4
1
1
4
4
4
0
16
16
1
1
16
8
8
8
8
8
8
40
40
40
0
0
0
16
16
2
2
2
17
4
4
8
8
16
8
16
16
0
1
1
16
8
6
0
0
32
0
8
8
1
1
1
1
16
0
0
0
4
4
8
8
4
0
2
2
4
0
0
0
0
16
16
16
8
8
24
16
8
1
16
16
0
0
8
8
8
16
16
16
0
0
24
0
0
0
0
0
8
8
0
0
8
8
17
2
8
0
0
0
8
10
10
8
8
0
8
8
8
2
2
10
20
20
8
8
1
17
4
8
16
16
2
4
8
8
8
8
8
8
8
0
0
0
0
18
0
0
8
8
32
32
32
8
8
8
8
8
1
1
0
0
16
1
1
1
0
0
16
0
8
0
16
8
8
8
8
8
8
8
2
24
4
4
4
4
24
8
8
8
0
16
16
0
9
8
8
0
8
8
0
1
8
8
8
16
0
16
4
2
2
2
16
16
16
16
16
33
33
20
24
0
0
0
0
12
12
13
1
1
1
1
8
8
8
4
4
16
0
8
8
8
8
8
8
8
16
1
32
32
32
32
32
19
19
19
19
4
19
0
0
2
2
22
22
1
8
8
8
8
8
8
0
0
16
16
16
0
0
0
16
0
16
0
0
0
32
0
0
16
16
24
24
24
16
0
16
0
0
20
24
0
0
0
0
8
8
8
8
8
0
16
4
4
4
4
4
4
8
8
0
0
20
20
16
16
16
1
8
0
0
4
8
16
8
8
0
0
1
8
8
2
16
16
16
16
8
2
2
0
24
17
17
32
32
16
16
16
16
16
16
16
8
4
8
8
0
8
16
8
8
24
8
8
1
1
32
32
1
32
0
8
8
8
24
16
16
2
2
2
16
16
0
0
0
4
4
8
8
8
16
8
8
8
8
4
0
8
8
8
0
0
1
8
4
8
8
8
8
3
3
3
8
8
1
1
1
0
16
16
16
16
16
0
0
16
8
8
8
0
0
0
0
16
1
24
16
38
1
0
4
4
4
0
8
8
2
2
2
2
16
24
16
8
8
33
1
1
4
32
8
8
8
0
0
0
16
8
8
8
8
8
24
30
0
0
0
4
4
8
8
1
1
1
1
0
0
1
1
0
0
8
8
8
4
16
0
16
8
8
8
8
0
0
8
8
8
0
0
8
36
8
44
2
16
0
0
24
24
24
8
8
0
16
16
16
4
4
2
8
8
40
8
8
8
0
0
0
0
0
1
8
0
0
0
8
0
8
8
8
0
8
0
0
0
0
2
8
8
8
8
0
2
2
8
8
8
8
8
2
2
4
4
4
8
8
16
8
8
32
32
20
20
20
8
16
16
16
8
8
8
2
8
8
8
0
4
4
8
8
0
0
16
1
4
4
0
8
16
1
1
1
1
0
8
8
8
20
20
0
8
0
0
0
16
8
8
8
2
2
4
17
1
16
16
16
8
0
0
0
16
16
8
8
8
8
8
8
0
1
1
1
1
1
1
1
8
16
1
0
20
4
4
0
0
8
0
0
0
0
32
32
32
8
4
4
1
1
0
0
0
8
8
8
0
1
1
8
8
16
16
8
24
8
8
8
8
8
8
8
8
8
8
1
1
1
1
1
8
4
12
16
16
16
16
16
16
16
16
16
16
8
32
20
16
16
16
0
8
16
1
1
8
0
0
20
0
0
8
8
8
8
2
2
8
16
0
0
0
0
0
0
16
16
16
16
16
20
8
8
8
16
16
16
16
16
16
16
8
8
8
8
8
8
0
0
0
0
28
8
8
8
4
4
16
4
28
16
16
0
0
8
0
8
8
8
8
0
16
32
16
16
18
16
16
12
8
8
8
8
8
8
0
8
28
28
0
16
16
16
8
8
12
10
8
8
8
1
8
8
8
8
20
8
8
8
8
8
0
16
16
8
24
24
4
8
8
8
8
0
16
8
8
8
8
8
0
24
24
24
0
0
0
0
0
8
8
0
0
0
16
0
0
0
16
0
0
0
0
0
16
16
16
4
4
1
1
16
0
0
16
20
32
16
4
4
0
16
16
4
4
1
1
1
8
2
4
36
8
0
1
8
8
5
5
0
24
24
8
16
16
0
0
20
20
20
16
0
0
1
0
16
16
8
2
2
2
2
0
8
8
8
8
1
24
0
22
22
2
2
16
4
20
16
9
25
25
2
16
16
0
0
8
8
0
0
0
24
24
24
8
2
8
16
0
4
0
0
0
6
0
0
8
8
8
8
16
16
0
0
8
12
1
8
8
0
0
0
20
0
0
8
8
2
2
2
12
8
8
0
8
8
8
0
0
8
0
2
1
1
1
1
8
0
0
8
8
0
0
16
0
0
16
16
0
8
24
16
8
24
16
8
8
0
8
8
4
32
16
8
24
24
24
24
24
24
16
16
16
16
16
16
16
16
16
8
8
8
4
0
0
0
0
0
8
8
0
16
8
8
8
8
8
0
0
0
8
0
0
16
16
0
8
8
8
8
24
16
0
0
0
0
0
2
2
2
2
0
8
8
4
4
24
16
8
8
0
16
16
16
0
8
10
8
12
8
8
8
8
18
18
4
1
8
0
8
8
8
0
13
13
8
1
1
1
1
1
8
8
8
16
16
0
0
0
16
24
24
8
4
16
16
16
16
8
4
8
8
8
16
0
0
4
2
16
8
4
8
8
26
10
4
0
16
8
8
8
8
8
8
8
24
0
8
8
8
16
57
8
16
16
16
16
8
32
0
0
0
0
0
24
16
1
16
16
16
16
24
0
0
40
8
8
8
8
8
16
1
16
16
0
0
4
4
4
4
4
2
20
20
0
0
8
0
21
29
16
6
6
9
9
9
1
1
0
2
2
2
8
8
0
0
0
0
8
2
2
2
2
2
0
0
8
8
8
0
9
9
9
8
8
16
16
16
12
8
0
1
0
0
40
40
40
0
0
0
7
7
0
2
2
25
8
6
4
4
16
2
4
20
4
4
4
8
8
20
2
31
0
8
8
8
2
8
8
8
0
0
8
8
8
8
8
0
0
8
8
8
8
18
16
40
0
8
8
8
8
8
8
8
8
8
8
1
48
48
24
0
8
8
4
0
8
0
0
0
0
8
8
8
0
0
8
8
0
2
2
8
8
8
8
0
0
0
0
0
2
0
8
16
8
8
4
20
16
8
16
24
2
4
16
10
10
8
8
2
0
16
16
8
8
0
0
0
1
1
1
8
8
16
2
6
2
2
18
18
2
2
8
8
8
8
0
4
16
16
8
8
0
0
8
8
8
8
1
1
1
1
16
16
16
8
8
36
36
4
4
4
1
2
2
8
8
0
0
0
8
8
8
0
2
8
8
8
8
16
16
8
8
24
16
16
0
0
16
8
8
20
16
8
8
18
0
8
1
1
1
8
0
16
8
8
18
8
8
0
0
0
8
8
0
0
0
0
0
8
8
8
8
0
0
20
16
6
8
8
8
8
8
8
0
8
8
2
2
2
2
2
2
0
8
8
0
8
8
8
8
8
4
24
24
24
0
0
0
0
0
8
8
8
8
16
16
8
8
8
18
8
8
8
8
8
8
1
1
8
8
0
4
2
0
0
0
16
0
0
0
0
0
0
0
0
8
8
8
24
24
1
0
0
18
18
1
1
24
8
8
4
0
16
53
0
0
0
8
1
3
0
8
0
8
8
8
0
24
24
16
8
8
8
8
8
32
16
4
16
16
16
0
0
0
8
8
0
1
1
16
16
1
24
24
0
28
1
20
0
0
32
0
0
8
32
0
17
17
38
38
8
8
8
8
13
13
2
8
8
0
8
8
8
20
2
4
4
1
1
27
27
36
4
12
12
12
8
16
8
1
1
1
0
0
0
0
0
16
1
1
1
0
0
0
0
0
16
16
16
16
8
8
8
4
4
4
8
16
16
8
40
0
16
8
8
10
24
8
8
0
0
0
0
16
1
8
8
2
8
0
0
16
24
16
17
1
1
0
0
0
0
0
8
8
8
8
40
4
4
8
8
0
0
8
8
8
2
2
8
2
5
1
1
1
0
0
0
8
8
8
16
16
28
16
28
24
8
8
16
24
8
8
0
16
23
23
32
32
8
8
16
8
24
4
8
40
0
0
10
10
4
4
16
1
0
0
0
0
16
0
0
8
0
0
8
8
8
0
8
0
0
0
0
0
0
8
8
8
8
2
0
0
16
0
8
8
8
8
8
16
16
16
0
8
16
16
8
24
8
8
8
0
0
0
0
0
0
8
8
16
8
8
8
8
8
2
8
8
8
8
8
4
8
1
1
1
4
3
20
20
0
8
8
8
8
8
8
8
8
8
8
8
1
0
8
8
8
8
8
8
8
7
0
24
16
1
1
1
32
8
8
0
2
0
8
8
12
12
12
8
16
16
16
8
8
8
16
0
0
0
0
0
0
0
0
0
16
8
8
14
14
14
0
0
0
0
16
0
0
2
2
2
2
2
2
8
8
8
16
16
16
16
1
8
0
8
24
8
8
8
8
8
8
8
8
0
0
32
32
0
4
4
4
8
4
0
9
4
8
8
16
18
2
0
0
0
2
4
4
0
24
24
16
0
0
32
0
0
16
8
8
4
8
8
54
8
8
8
8
8
8
4
4
0
8
16
16
16
16
8
24
48
48
48
0
0
0
4
4
4
4
4
8
8
8
8
8
8
8
8
12
12
8
8
8
8
4
16
20
20
8
8
0
8
8
8
8
8
16
0
22
22
8
8
8
16
24
0
0
0
0
2
2
0
0
0
16
16
4
4
0
24
16
24
8
8
8
8
8
4
20
4
8
8
16
8
8
8
8
8
8
4
4
0
2
16
16
16
16
8
8
16
16
16
0
0
8
8
0
0
0
0
32
8
8
16
0
8
4
8
8
8
8
8
16
8
8
0
0
32
8
8
8
8
8
8
16
16
4
8
8
8
0
16
16
16
16
16
24
16
8
8
16
16
0
16
16
16
2
21
16
0
8
0
0
0
8
8
8
8
8
24
0
0
8
8
8
24
8
24
8
0
0
8
8
4
2
2
2
2
16
16
16
0
2
2
2
2
2
8
4
12
12
0
8
8
16
8
0
8
16
16
24
20
20
20
0
0
0
0
16
16
16
16
16
16
0
0
8
8
23
7
23
0
0
2
2
3
8
2
2
2
0
32
32
1
1
8
8
8
16
16
0
0
0
8
16
8
8
0
0
0
8
8
2
34
2
0
0
0
16
12
12
12
12
8
8
8
8
0
4
4
0
2
10
1
1
0
0
0
0
8
8
8
22
16
16
0
36
4
4
16
16
0
6
23
7
16
8
0
4
3
1
1
10
16
16
24
16
16
17
17
0
0
33
8
0
0
0
0
8
8
8
16
16
8
4
8
8
8
62
10
10
0
0
8
4
8
8
8
4
4
4
8
8
8
8
0
0
8
0
0
8
8
8
2
2
0
16
16
9
8
8
8
8
16
16
16
20
0
0
0
0
4
5
4
4
0
0
0
0
6
4
4
16
16
0
20
4
16
0
8
0
0
1
1
1
1
8
8
0
0
0
8
2
0
0
16
0
16
16
0
8
8
8
8
8
8
8
8
8
8
8
16
16
16
4
16
0
0
0
2
2
2
20
24
16
16
58
58
8
8
0
0
8
8
8
8
0
8
8
8
8
12
8
16
0
0
0
0
0
16
16
16
16
16
16
16
16
8
0
0
0
0
16
0
8
16
16
16
16
8
8
8
8
8
8
24
2
0
8
8
8
8
8
8
8
0
0
0
9
8
8
14
4
14
8
8
8
0
16
8
24
8
8
8
8
8
0
0
0
0
4
4
4
4
16
16
16
8
8
8
8
8
1
0
16
16
4
4
0
8
8
2
2
2
8
8
8
8
8
4
4
4
4
4
0
0
0
0
0
1
1
4
4
16
16
16
16
16
16
8
18
8
8
8
0
0
0
8
8
8
16
8
0
0
1
1
1
8
0
8
8
8
16
16
1
8
24
8
2
2
2
0
0
0
16
16
0
0
0
0
0
16
16
0
8
0
0
16
16
8
0
8
8
8
8
8
0
0
0
1
22
12
2
4
16
20
4
0
8
8
1
1
8
8
8
1
1
8
8
8
8
9
8
9
25
0
0
8
8
8
8
8
8
8
8
8
0
16
16
5
5
4
40
40
40
0
0
0
4
4
10
10
10
32
32
32
0
0
8
0
16
16
16
16
8
8
8
8
8
8
8
8
4
16
8
20
8
1
4
0
1
8
16
16
16
4
16
0
8
8
8
16
8
8
4
8
0
0
2
2
2
8
8
8
8
8
8
8
16
18
18
4
4
4
0
0
0
8
8
8
0
0
8
8
8
8
8
8
8
8
16
16
16
56
2
0
0
0
6
8
8
8
8
2
4
4
4
0
2
2
35
35
35
35
16
16
16
8
8
8
8
16
16
16
16
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
0
4
1
3
1
16
3
3
8
0
16
0
0
0
0
0
0
0
0
0
0
0
4
20
24
16
16
8
8
8
8
12
12
16
16
16
16
8
8
8
8
8
8
8
8
8
8
24
8
8
0
0
0
0
2
2
2
12
16
8
0
8
8
8
16
8
8
8
8
8
8
8
8
0
16
8
0
0
16
0
0
0
0
0
16
16
16
4
1
0
16
1
1
0
0
4
4
4
4
16
8
24
2
2
2
8
8
8
8
8
8
8
8
8
8
8
8
8
17
0
0
4
8
17
1
17
8
0
0
8
8
8
4
4
5
8
8
16
16
2
0
8
0
0
0
9
8
8
8
2
32
42
0
0
0
25
8
17
8
8
0
24
24
0
8
8
8
8
8
9
16
16
16
16
8
8
8
8
12
8
8
8
8
8
8
8
4
4
8
8
8
1
1
8
8
4
4
4
8
0
8
8
8
4
0
8
4
0
0
4
0
40
1
16
16
16
16
16
0
2
2
2
8
0
29
29
0
4
8
8
8
8
8
0
0
0
0
0
0
0
0
10
0
0
0
0
0
2
2
1
8
8
1
1
1
8
1
2
0
0
0
16
16
2
2
0
4
16
16
12
17
17
8
8
8
8
1
1
0
0
8
8
8
0
0
16
16
24
24
24
2
2
2
0
1
1
1
0
8
8
8
4
8
8
2
0
8
8
0
0
8
0
8
8
5
8
24
8
20
8
16
8
8
0
0
8
8
8
4
4
4
2
2
0
8
0
8
8
8
8
8
8
0
8
0
0
1
0
0
0
4
0
0
16
1
1
0
3
0
8
8
0
8
8
8
26
8
8
8
8
16
16
8
8
8
0
0
0
1
8
8
8
12
8
8
0
0
0
16
16
0
0
0
0
8
8
0
48
16
16
0
8
0
8
8
8
8
1
1
42
1
32
0
6
4
8
16
28
16
8
4
8
16
16
0
24
17
16
16
16
16
16
16
16
16
0
24
12
0
8
8
8
8
0
0
8
8
8
0
8
8
8
16
16
16
4
4
0
0
8
4
22
0
0
0
0
8
8
8
24
16
8
24
16
0
0
1
20
21
21
8
8
8
8
16
16
16
0
0
0
0
0
0
0
0
0
0
8
8
4
16
0
16
16
16
2
8
2
2
2
8
8
0
0
0
24
8
8
8
8
0
3
24
24
9
11
11
0
0
48
8
8
8
8
4
4
8
8
8
0
8
0
0
10
10
8
8
8
16
0
0
8
8
8
8
16
16
16
16
16
16
16
8
8
0
8
8
8
8
16
0
0
0
0
0
16
16
24
24
8
8
1
0
16
16
18
16
16
0
8
16
22
24
24
24
17
17
17
17
17
4
4
4
5
1
4
5
1
1
1
0
9
9
0
2
2
4
4
8
8
0
0
8
0
4
16
8
8
8
6
6
1
16
16
8
1
1
1
14
14
0
4
0
4
4
8
8
8
0
8
8
20
20
8
16
17
1
1
1
1
1
1
1
1
8
12
12
5
16
0
8
8
0
16
8
8
8
0
16
16
16
16
16
16
0
16
0
24
24
24
8
0
16
16
0
0
33
8
8
24
8
8
8
8
0
0
0
1
1
1
24
16
16
16
8
8
8
0
0
8
8
4
4
0
8
16
0
0
0
16
16
24
0
8
32
2
0
8
8
0
4
16
8
12
12
0
8
16
16
0
0
0
0
8
24
24
16
16
0
0
0
8
8
8
0
24
0
0
40
4
0
8
16
0
0
0
0
1
8
24
0
0
0
0
0
0
0
0
0
0
16
0
8
0
4
4
4
4
0
0
56
2
0
0
0
0
0
0
0
20
20
24
8
24
8
8
8
0
8
0
0
32
32
0
0
8
8
2
6
1
0
0
8
8
0
0
0
0
12
12
0
0
4
16
8
8
16
0
0
0
0
32
32
10
1
1
8
57
8
8
8
8
0
8
8
8
8
8
8
8
0
8
8
16
16
0
8
8
0
2
8
0
0
0
0
24
24
8
8
8
0
8
8
8
24
4
4
4
4
2
8
0
0
0
0
0
58
16
16
8
4
16
16
0
8
8
8
8
16
8
16
16
16
8
8
1
1
4
1
0
0
0
0
0
0
0
0
4
8
8
2
2
2
8
0
8
8
8
24
0
0
0
4
0
4
4
0
8
1
0
0
0
0
0
0
0
0
33
33
33
8
8
8
8
8
4
4
16
16
16
0
8
16
1
1
16
16
24
9
16
12
12
1
5
0
0
0
0
16
0
1
1
32
32
0
16
0
0
8
8
8
0
2
16
4
8
0
8
0
0
4
1
1
1
0
8
8
8
4
24
0
8
8
0
1
1
1
24
24
16
8
8
0
2
2
8
8
8
8
8
8
0
40
8
16
16
8
8
0
16
4
0
16
32
32
0
2
4
4
8
8
0
16
16
16
16
4
8
8
8
8
0
8
8
8
16
0
3
0
8
8
8
8
8
20
20
1
1
1
4
8
8
35
32
32
2
2
2
2
8
8
8
2
2
16
8
8
0
8
8
8
8
12
12
0
0
4
4
0
0
0
0
28
0
0
0
0
4
20
1
1
1
1
1
1
32
8
4
16
0
0
0
0
8
8
8
8
1
9
4
4
8
8
8
8
0
8
8
0
0
8
8
8
8
16
16
9
0
16
16
16
16
0
0
19
19
2
2
2
0
16
2
2
2
20
8
0
20
4
4
16
8
16
16
8
8
0
8
8
8
8
8
8
16
16
0
40
0
0
16
16
16
8
8
8
8
8
8
12
12
0
0
0
24
8
1
1
1
4
8
8
8
8
0
3
3
2
2
2
2
2
2
1
1
1
1
56
16
8
8
8
8
8
8
8
8
0
24
24
24
24
16
16
16
3
16
16
16
16
16
0
0
16
8
16
16
16
9
8
8
8
8
16
16
16
17
16
17
18
0
2
4
4
4
4
4
4
4
0
24
8
8
8
8
1
1
1
1
0
0
0
0
8
8
0
8
0
0
0
8
8
4
4
4
8
0
8
0
0
0
0
0
49
6
16
16
1
1
1
16
16
1
1
24
24
24
2
8
24
0
16
16
16
16
24
16
16
16
16
16
16
16
17
17
0
20
0
8
8
8
8
8
0
8
8
8
8
8
8
8
8
2
2
16
17
0
0
8
8
8
8
8
8
16
8
0
8
0
0
8
8
2
2
0
0
0
16
0
0
8
0
1
1
1
1
1
16
16
16
17
0
0
12
4
4
8
8
0
0
0
0
0
4
4
16
16
16
0
0
24
8
8
8
8
8
8
9
24
12
12
4
4
4
16
16
8
0
0
0
24
0
14
4
14
0
16
16
0
0
0
0
0
0
1
0
8
8
16
16
0
8
8
8
0
8
8
16
16
16
8
8
8
8
1
8
8
8
0
8
8
8
16
1
1
1
0
4
4
2
8
8
8
8
8
8
4
8
8
0
16
20
16
1
1
1
1
24
0
1
1
1
1
1
1
1
0
0
2
2
2
2
2
16
0
0
0
0
16
16
16
4
8
8
16
16
8
8
8
2
0
16
16
0
0
0
0
0
0
0
8
0
0
2
2
16
16
16
0
0
0
12
8
8
8
25
16
16
16
16
16
8
1
1
8
8
8
8
1
1
1
1
1
1
1
8
8
28
4
4
16
16
16
8
8
8
8
8
10
1
25
0
0
0
16
16
0
9
9
4
1
1
6
14
32
32
32
8
8
0
0
16
0
16
2
2
8
8
8
8
8
8
8
16
24
24
8
24
8
1
16
2
4
26
26
26
8
8
8
8
8
8
9
0
16
0
8
8
8
8
0
0
0
2
2
0
2
2
2
2
8
0
0
0
0
0
8
8
8
8
5
0
0
0
8
0
0
0
4
4
0
16
16
16
0
4
0
0
0
0
24
24
2
0
0
0
0
4
4
0
0
8
8
8
0
1
1
1
1
1
8
8
8
8
4
22
16
0
0
0
0
0
2
2
2
16
16
16
4
24
8
8
0
36
8
24
8
9
0
16
20
0
0
0
0
4
8
8
16
24
4
4
48
8
8
8
8
12
8
0
8
20
0
0
0
8
6
6
6
8
24
0
8
8
0
0
0
3
8
8
8
0
0
8
8
4
17
17
16
16
16
16
16
0
0
8
16
16
8
0
8
8
8
0
4
16
2
2
0
8
8
8
16
16
16
16
4
24
16
16
16
8
8
0
8
16
2
2
2
0
8
4
4
3
2
2
2
8
8
8
8
8
28
0
0
0
2
2
16
16
16
16
16
16
8
8
8
0
1
1
16
16
0
8
8
8
6
8
0
0
0
1
5
1
1
8
1
0
2
2
4
4
4
4
0
24
16
8
8
12
8
8
8
8
8
0
16
0
0
0
8
8
1
16
16
16
16
8
8
8
26
8
24
0
0
9
9
1
4
53
4
33
16
8
8
8
8
8
24
16
16
4
4
0
0
0
0
0
4
4
8
8
8
8
8
8
8
0
0
0
4
4
0
2
2
0
0
24
24
24
16
16
8
8
8
8
25
5
5
16
0
8
8
0
1
16
16
16
40
40
0
8
4
4
4
16
16
2
8
0
0
0
26
8
0
0
0
12
12
8
8
8
0
0
18
0
0
9
8
8
8
8
16
4
4
1
1
1
1
1
0
0
4
4
8
8
8
0
12
8
8
16
16
8
8
8
8
0
0
4
4
2
2
0
8
2
2
8
8
8
48
48
48
8
16
16
16
16
16
8
12
1
8
8
8
8
0
8
20
8
4
4
0
8
8
0
2
16
0
0
8
8
0
16
8
16
0
2
10
10
4
0
0
0
0
8
8
8
24
0
0
16
8
8
0
16
16
0
0
0
0
0
8
8
8
8
8
8
8
8
8
32
4
4
8
8
9
8
8
8
0
0
1
1
2
5
0
0
0
16
0
8
8
8
8
8
8
8
8
8
0
0
8
16
16
16
16
0
8
0
0
8
8
9
8
49
1
49
49
32
16
24
16
48
4
4
16
1
1
8
16
8
0
0
8
8
16
0
24
16
16
16
8
8
8
0
8
0
61
5
16
8
8
8
8
8
8
8
17
16
16
0
0
0
1
1
1
1
1
8
12
8
8
8
8
0
0
8
16
16
8
8
4
4
4
0
8
24
0
0
0
0
20
20
0
0
0
0
16
16
4
0
16
16
16
16
8
8
0
0
0
0
0
0
16
24
24
24
24
16
8
32
8
8
8
8
0
0
8
24
0
0
16
0
0
0
37
37
37
37
0
16
16
16
0
0
8
8
8
8
8
16
4
4
4
4
0
8
8
0
8
8
0
0
0
0
16
0
0
0
4
0
4
0
8
8
9
9
8
16
0
16
16
8
8
1
25
0
0
0
8
0
0
0
16
9
9
8
8
8
8
32
0
8
8
8
16
40
16
8
28
28
0
0
0
0
0
8
8
8
0
0
0
0
0
8
1
1
0
0
8
8
8
12
2
2
8
0
0
0
0
8
8
8
8
8
8
8
8
16
16
16
4
4
8
8
16
16
2
0
16
8
16
48
0
8
8
8
8
2
8
16
16
8
8
8
8
8
4
4
16
16
16
16
16
20
20
20
24
24
8
0
8
1
0
0
8
8
0
8
8
8
8
20
16
16
16
0
0
8
8
8
8
16
16
16
16
0
4
20
20
0
8
0
0
0
28
1
8
8
8
8
16
0
0
0
8
8
8
8
8
8
16
16
16
25
25
14
14
4
4
4
51
8
8
16
16
16
0
8
1
20
16
1
2
2
16
16
0
8
8
8
8
0
0
24
16
4
4
4
0
8
1
1
2
0
16
16
8
8
8
8
8
8
8
8
8
8
8
8
16
16
8
2
0
0
0
0
0
2
2
2
8
8
8
0
0
0
16
1
1
1
1
0
0
8
8
8
0
0
8
8
8
4
8
16
8
8
8
8
0
0
8
8
0
8
16
16
16
16
0
0
8
16
0
0
0
10
16
16
0
0
8
8
8
8
0
6
1
0
0
32
8
8
1
0
0
0
0
17
0
0
0
0
4
8
6
16
2
16
34
2
8
26
26
26
24
8
0
16
0
0
8
16
16
18
16
8
8
48
1
1
1
1
1
0
0
0
0
0
4
0
32
32
56
56
32
8
8
16
16
4
4
4
16
8
0
24
8
8
8
0
8
16
16
16
16
16
16
8
16
8
8
8
8
0
0
4
16
0
0
0
8
16
24
40
8
8
8
8
9
9
9
0
0
8
8
8
0
0
12
12
16
0
16
16
16
8
16
8
8
8
1
4
16
16
8
0
0
0
4
4
8
8
8
8
0
0
4
4
4
0
1
0
2
8
4
4
4
4
4
4
0
32
8
8
8
8
8
0
16
16
16
16
16
0
8
8
6
6
6
0
24
24
8
8
8
8
19
2
16
20
20
20
12
16
8
16
4
4
16
0
6
2
0
0
8
8
8
2
0
0
0
0
16
16
1
1
0
16
16
16
16
16
0
0
49
49
4
8
8
32
32
8
8
2
10
18
2
16
16
0
0
0
0
8
8
16
16
16
0
4
4
8
8
8
8
12
4
0
8
8
8
8
0
0
4
8
8
0
32
8
8
1
32
32
32
16
20
16
1
0
0
0
8
8
8
8
4
4
20
0
16
8
8
8
0
0
0
0
0
8
8
8
8
8
8
8
0
4
12
8
8
8
8
8
0
4
4
4
4
16
16
16
16
16
16
16
16
16
0
8
8
8
8
8
8
0
8
0
0
0
0
8
4
4
8
0
0
4
6
6
6
8
8
8
0
16
8
8
8
8
8
40
40
4
4
4
16
8
16
16
17
25
8
8
8
8
8
0
8
8
1
8
8
8
6
6
6
6
0
0
0
0
16
16
16
8
8
8
0
0
0
0
16
16
8
2
2
16
0
8
8
8
8
1
16
16
16
0
2
2
16
8
8
8
1
20
8
8
0
41
1
1
1
1
6
6
6
8
8
0
0
8
8
8
8
8
16
1
32
8
8
0
0
0
0
8
16
16
17
2
1
1
8
8
8
16
16
16
4
0
0
4
24
16
0
0
16
16
16
16
16
16
8
8
8
8
8
16
16
16
16
16
16
16
8
32
5
4
8
8
8
8
0
16
16
16
24
2
2
17
8
12
2
2
20
20
4
8
0
0
0
8
24
24
24
24
8
8
8
8
8
8
18
4
0
9
9
9
0
8
8
8
12
0
1
8
8
8
8
0
0
8
8
8
8
0
8
20
9
9
2
2
2
8
4
8
4
8
16
7
29
20
1
8
1
8
8
8
0
0
12
8
24
8
8
8
8
8
8
8
24
18
8
0
10
0
0
32
1
0
0
0
0
0
0
8
8
8
8
16
1
1
1
1
1
1
0
10
4
32
32
0
32
32
8
8
0
0
0
33
33
8
16
0
1
1
1
0
0
16
0
0
0
8
8
8
8
0
16
16
0
1
8
8
8
16
16
16
8
2
0
16
16
16
16
16
12
12
12
12
4
4
0
0
2
2
2
2
2
2
0
8
8
8
8
1
1
4
2
32
0
16
16
16
16
2
8
8
8
8
8
8
8
8
8
20
20
20
20
1
1
1
1
1
16
4
4
4
4
1
1
5
0
0
0
10
10
10
8
1
25
0
8
8
0
0
0
0
0
20
33
16
17
16
0
8
8
8
16
16
16
16
16
16
16
0
10
8
2
0
4
4
0
0
8
8
8
16
10
10
25
24
16
8
8
8
8
8
16
16
32
2
2
2
1
1
16
6
6
6
6
0
0
0
0
16
16
16
0
8
8
8
48
48
16
24
16
8
8
4
7
8
8
8
1
1
1
1
1
0
0
2
4
0
8
8
8
8
0
0
8
16
16
16
16
16
16
8
8
8
0
0
2
2
8
8
28
24
28
28
0
8
8
5
8
4
4
4
0
4
4
4
4
8
8
8
8
0
7
7
16
24
8
8
8
1
1
8
8
8
8
8
4
0
4
4
16
16
16
16
8
8
8
2
0
16
16
16
16
16
16
16
16
8
8
8
32
8
0
0
0
8
8
8
28
24
16
8
1
1
1
1
1
1
2
2
4
4
4
2
2
2
2
4
8
8
8
8
8
8
4
2
2
8
8
8
8
8
32
8
2
22
16
0
17
0
0
4
4
1
10
0
8
8
0
16
16
0
0
0
0
8
8
8
8
8
0
0
4
4
16
0
0
0
6
16
8
8
2
2
2
2
8
0
0
8
8
0
18
0
0
18
18
2
8
3
4
0
12
4
4
4
2
2
38
0
0
1
0
0
0
1
0
4
4
8
21
21
0
1
1
8
26
16
0
8
8
4
4
4
8
0
0
8
0
0
0
4
4
0
34
34
34
8
8
0
0
0
0
0
0
1
8
4
4
4
4
8
8
0
0
8
8
8
8
37
37
0
16
16
16
0
9
9
9
0
2
4
4
20
8
8
4
0
0
0
0
0
16
16
0
0
0
24
24
24
0
0
8
8
8
24
8
8
8
16
0
16
0
8
8
8
16
16
4
4
4
0
16
0
16
16
8
8
8
16
8
8
8
8
8
8
8
16
20
20
8
8
8
8
8
12
12
8
8
0
0
0
0
24
8
0
8
2
16
0
16
16
16
9
1
8
8
8
8
16
28
0
4
4
4
8
0
0
0
4
0
12
4
4
4
32
1
1
16
16
8
8
0
0
1
1
0
8
8
16
0
0
24
12
8
8
0
0
8
0
0
8
8
8
0
0
0
8
0
0
0
4
4
8
8
8
16
16
26
4
4
0
2
2
0
16
16
16
16
16
8
8
8
2
2
2
16
16
16
16
0
0
16
16
16
16
0
0
32
32
32
32
32
32
32
0
0
0
8
9
1
1
16
16
16
24
16
4
4
4
8
0
0
8
2
2
0
16
24
0
0
0
20
20
20
20
16
0
0
8
40
0
0
0
16
8
8
0
0
8
4
4
12
0
0
0
0
0
8
8
8
8
0
24
32
32
32
0
0
8
8
8
32
8
8
8
17
27
27
16
0
0
0
0
0
10
10
10
8
8
16
8
8
8
0
0
16
16
16
16
8
16
0
4
4
8
8
8
8
8
0
8
8
8
8
8
0
0
0
0
1
1
24
24
24
24
24
8
0
0
4
4
2
2
2
8
8
8
8
8
0
0
4
4
25
2
2
16
16
0
8
8
16
0
0
0
0
0
24
8
24
8
8
8
16
2
0
4
4
0
0
0
0
0
8
8
8
8
8
8
8
8
16
16
8
8
8
0
0
0
0
8
5
4
4
4
16
8
13
32
0
8
8
8
0
4
0
8
0
0
32
0
21
11
11
32
16
8
8
8
16
0
0
0
0
16
16
8
8
8
8
8
8
4
0
0
8
8
8
8
2
8
8
8
8
8
8
8
0
20
16
16
16
4
2
8
2
1
25
0
0
1
0
0
0
0
0
8
1
1
1
24
8
0
8
8
8
8
8
8
0
0
0
4
24
16
16
8
8
8
8
24
4
0
32
16
16
12
8
8
8
8
8
8
16
0
1
4
4
8
8
1
8
8
17
8
8
0
0
16
16
16
16
16
16
16
16
0
16
16
16
16
4
4
4
0
0
4
16
0
8
8
16
0
0
1
16
16
16
16
16
16
8
8
8
8
8
8
0
16
24
8
8
0
4
0
0
8
8
1
0
2
0
0
0
8
8
16
17
0
4
4
0
0
12
12
4
8
8
8
8
0
0
2
2
2
6
3
2
8
0
16
16
16
8
0
0
0
2
2
4
0
8
8
8
8
4
4
4
8
8
8
8
8
8
8
8
1
0
1
1
1
24
4
4
4
0
0
0
10
16
16
16
9
32
1
0
0
16
16
1
8
8
2
9
9
8
8
8
8
28
2
2
2
0
8
8
8
16
16
8
1
1
36
36
0
0
8
8
8
0
1
1
0
16
8
0
0
16
16
0
4
4
4
9
9
9
2
2
0
8
8
8
8
8
8
8
16
16
16
16
12
12
0
24
16
8
4
4
17
4
0
0
8
8
0
8
8
8
8
0
16
4
8
8
2
2
0
0
16
16
4
4
4
4
1
1
0
0
1
5
0
0
0
0
0
0
0
0
0
8
8
12
12
16
8
0
0
0
1
1
1
20
20
4
4
16
16
16
16
16
8
16
16
16
0
0
32
9
0
1
16
16
0
0
4
0
16
8
13
8
0
8
8
8
16
16
10
4
16
16
16
4
16
4
32
0
8
8
8
0
8
0
8
18
18
0
23
6
4
0
0
0
0
8
8
8
8
1
1
1
0
8
2
8
1
8
0
24
8
0
0
0
1
0
8
8
0
16
0
4
1
1
1
0
16
16
8
16
16
8
8
8
16
24
1
1
0
8
8
24
24
24
16
0
0
0
2
2
16
16
0
8
8
8
8
24
4
8
0
0
16
16
16
16
16
16
2
2
2
8
8
16
16
16
0
6
2
24
16
16
16
8
8
8
0
8
8
8
8
4
4
4
8
8
8
8
8
8
16
24
0
2
8
8
8
7
7
7
0
16
16
16
16
16
16
16
8
8
8
8
8
8
16
16
0
4
16
16
48
1
1
1
1
9
9
9
9
24
24
24
24
8
8
8
4
4
4
4
8
8
8
8
16
16
0
0
8
8
8
8
8
8
0
0
16
8
8
8
8
0
4
20
4
4
16
0
0
1
1
1
0
32
32
32
0
0
0
17
1
1
8
8
8
0
0
4
16
16
16
16
16
8
8
8
8
0
0
2
8
8
8
8
8
0
8
2
2
2
1
3
33
41
33
0
0
0
0
16
16
16
16
16
16
24
16
4
4
4
4
0
0
0
8
2
2
0
17
16
16
0
0
8
8
8
0
0
8
8
0
0
0
0
1
1
1
1
16
0
0
4
4
4
0
0
0
0
2
2
2
2
0
0
0
32
32
4
12
4
4
16
8
8
8
8
0
12
8
8
16
16
16
0
0
0
0
0
0
18
4
22
2
2
8
8
4
8
8
24
8
0
5
5
48
8
0
8
8
16
4
8
8
8
8
0
18
0
32
24
8
0
0
0
16
22
22
22
0
0
8
8
12
12
4
8
4
4
5
0
0
24
4
4
16
0
0
0
0
0
28
16
16
0
0
0
0
8
8
8
8
8
8
16
16
2
2
2
0
4
4
4
4
8
2
2
0
0
8
16
0
8
8
8
8
8
8
8
8
8
8
8
12
12
0
0
0
1
20
0
0
0
10
8
16
16
8
8
8
4
16
0
4
28
4
16
8
0
8
8
8
12
8
8
9
0
16
4
16
8
8
0
8
8
8
8
8
0
0
8
8
0
0
8
8
8
16
8
0
16
8
8
25
24
24
8
16
16
1
0
0
0
16
14
24
0
1
1
1
0
8
16
16
16
16
16
4
12
12
12
12
0
0
8
8
8
0
0
1
8
16
16
8
0
12
8
8
8
0
0
0
0
0
0
16
24
24
24
9
32
16
16
16
16
16
16
16
8
0
16
20
0
10
20
17
17
1
0
0
16
8
8
8
16
2
4
8
16
0
4
57
57
57
0
0
0
16
16
16
16
0
0
4
0
0
8
24
0
1
1
8
8
16
0
4
4
4
8
8
8
1
16
2
0
16
16
0
0
8
0
8
8
8
8
8
8
8
4
4
1
1
8
8
4
16
0
16
16
16
16
16
16
8
8
8
12
8
8
8
24
1
24
0
0
0
0
0
16
16
16
0
0
0
0
0
16
0
0
0
1
1
8
56
24
24
0
0
8
8
8
8
8
8
8
8
8
8
16
0
22
6
6
6
8
8
2
16
53
4
32
4
4
4
2
2
2
2
16
2
0
0
4
4
4
16
0
16
16
8
8
8
8
8
8
8
16
0
0
8
8
8
0
0
2
2
16
16
0
8
1
0
0
8
8
2
2
16
16
2
0
0
0
8
0
20
10
8
8
8
16
16
0
8
8
8
16
16
8
1
5
0
0
8
8
16
16
16
0
62
8
4
3
48
8
8
18
8
8
32
32
16
16
16
16
4
4
8
1
8
0
0
8
8
8
8
8
8
0
8
0
1
2
24
16
16
8
8
8
8
0
0
0
16
16
0
0
0
0
16
16
0
0
0
0
26
0
0
16
0
0
0
0
16
16
2
2
2
16
16
16
8
8
8
4
4
1
0
8
24
24
8
8
8
8
8
2
2
0
0
1
1
1
1
1
0
0
0
1
16
10
27
0
0
8
8
1
8
4
8
0
0
0
0
8
0
0
8
8
8
8
8
8
8
8
8
8
9
27
8
24
8
8
8
8
8
8
8
0
0
24
9
8
4
4
4
0
2
2
2
4
8
0
0
8
8
8
24
0
8
8
8
0
4
9
16
0
0
0
4
0
2
0
2
16
0
0
16
16
0
0
24
8
16
16
16
0
0
24
24
24
16
4
8
8
0
0
2
2
0
0
0
0
0
0
1
1
1
8
0
0
0
4
2
0
0
8
0
0
8
0
16
2
40
8
8
16
32
0
8
8
0
8
8
8
8
8
1
16
16
0
0
8
26
8
0
8
8
32
8
8
8
2
8
0
0
2
2
12
16
4
8
16
17
2
2
2
2
4
2
2
8
8
8
32
8
8
8
8
0
16
16
0
0
0
0
2
20
0
0
8
8
57
57
8
8
2
2
2
0
0
8
8
0
0
0
8
8
2
2
0
0
16
16
16
16
16
0
0
0
8
0
32
2
16
0
0
16
8
1
4
8
8
8
8
8
8
8
2
0
8
8
8
8
8
8
8
8
8
8
8
24
8
0
16
2
8
32
16
0
8
0
0
0
0
0
0
0
0
0
0
0
16
8
0
0
0
0
0
0
0
0
0
0
24
16
16
16
16
16
16
8
20
20
20
0
0
8
9
9
0
32
50
50
22
22
22
0
12
0
2
2
2
0
0
8
16
28
16
8
0
8
8
8
16
0
0
0
0
16
16
16
16
0
8
8
0
0
8
16
8
8
0
0
0
0
0
12
12
0
16
1
1
1
4
8
8
8
4
4
24
24
8
1
8
0
4
4
16
16
16
16
16
2
2
8
8
8
8
1
1
1
1
0
8
0
1
1
1
1
1
1
0
2
8
8
8
1
1
1
16
8
8
8
8
0
8
8
16
16
8
8
0
4
4
4
16
0
5
16
4
0
16
48
16
48
16
4
16
8
8
8
8
8
8
8
8
8
0
0
0
12
0
0
0
6
6
8
4
4
8
8
0
1
1
0
8
3
3
16
16
0
0
0
0
18
0
8
8
16
16
16
16
4
0
8
16
4
0
16
16
16
0
16
8
0
5
1
16
16
0
0
0
8
0
0
0
0
0
8
8
8
8
8
8
8
16
16
16
1
1
1
1
1
40
4
0
0
0
0
0
16
24
24
0
16
28
28
28
28
28
0
0
0
0
0
0
4
4
10
10
0
4
8
8
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
0
1
1
0
0
16
16
4
6
4
4
4
4
4
8
4
4
16
4
16
8
8
16
20
20
1
1
16
16
8
8
8
8
8
8
16
0
16
16
8
18
16
16
16
18
16
16
1
1
1
1
1
16
0
1
0
0
8
8
49
32
32
0
8
8
8
0
0
4
0
0
4
4
4
4
8
8
8
0
4
4
4
18
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
1
1
8
16
0
8
8
8
0
0
0
16
16
16
16
56
16
0
16
4
0
8
0
0
16
24
10
10
10
4
4
4
4
0
4
16
0
16
0
0
0
0
0
0
0
0
8
16
32
0
2
4
17
17
2
2
2
0
0
1
16
16
16
0
24
8
8
8
8
8
16
0
16
16
16
2
2
2
16
0
0
0
16
24
16
0
8
8
8
0
0
0
0
0
8
12
8
8
0
0
0
0
8
8
0
0
0
0
0
0
0
8
8
8
8
8
8
8
6
8
8
16
24
20
4
4
16
1
1
2
2
2
2
0
0
0
0
0
0
0
0
2
2
1
4
0
6
17
17
0
8
8
8
8
16
8
16
8
8
8
24
8
8
0
4
4
8
8
16
16
16
0
8
1
1
16
16
4
4
4
4
5
5
5
4
16
8
2
2
2
2
0
0
16
16
8
0
8
8
8
8
8
8
16
16
8
8
1
1
4
8
8
8
0
0
0
2
2
8
8
8
8
8
8
8
8
0
8
8
8
0
2
8
16
4
4
4
24
8
8
8
8
8
8
2
0
0
0
16
8
8
0
0
8
0
8
40
16
48
48
48
48
8
8
8
8
4
12
8
8
8
8
16
16
8
8
8
0
16
2
2
10
4
16
0
2
0
4
4
2
0
8
8
8
0
0
0
0
0
0
24
8
10
26
10
8
8
24
24
8
8
0
16
16
16
0
0
0
0
8
24
8
8
8
0
0
16
27
8
0
53
53
0
32
16
16
16
20
16
16
16
4
8
8
8
0
0
8
0
0
0
0
0
16
8
0
2
2
2
2
8
8
0
0
8
16
16
16
16
2
8
8
25
0
0
0
0
16
16
16
16
0
0
4
4
8
0
0
0
0
8
8
0
0
16
0
8
0
0
8
1
1
1
24
24
24
24
24
0
0
0
4
4
4
4
4
1
16
22
0
2
2
2
2
16
16
8
8
8
0
16
4
8
16
16
0
0
0
8
8
8
8
0
0
8
8
0
16
16
8
8
8
8
8
4
4
0
8
4
4
16
16
16
16
0
0
0
18
18
2
8
8
8
16
0
16
8
4
8
16
16
8
8
8
8
8
8
0
16
24
24
24
4
4
4
4
4
4
4
4
0
0
0
16
16
8
24
4
16
48
8
16
16
16
8
8
0
0
8
8
0
0
8
8
8
4
4
4
0
0
0
0
16
16
0
8
0
4
0
0
2
21
2
2
2
8
8
32
32
32
8
16
16
16
16
8
10
0
0
0
8
28
8
8
8
32
16
16
8
0
0
0
0
4
4
4
16
16
4
4
4
16
24
16
8
16
16
16
16
4
16
16
0
8
8
8
16
8
8
8
8
8
8
0
16
8
8
16
2
4
0
0
24
24
8
8
0
1
1
1
2
21
1
1
1
9
9
16
16
16
4
8
8
8
8
8
8
8
4
4
0
2
8
8
8
8
8
8
0
16
16
0
16
16
6
16
0
8
8
8
4
4
4
8
8
8
8
8
16
16
0
24
0
9
8
8
8
0
0
0
0
0
8
8
32
40
40
8
4
4
4
4
1
1
0
0
8
16
16
16
16
8
8
8
8
8
0
16
17
16
16
2
2
17
8
17
0
1
16
16
16
8
8
8
0
0
8
0
0
8
8
0
0
0
0
16
8
8
8
0
4
16
16
16
16
8
0
8
8
8
8
8
8
8
2
16
8
2
2
35
0
16
0
8
12
8
0
4
4
1
4
4
4
4
4
2
16
0
8
1
8
8
8
17
0
0
20
20
0
0
16
0
16
19
8
8
8
8
8
8
0
0
0
25
24
24
24
0
0
2
16
16
16
16
16
16
0
15
1
1
8
4
8
8
16
20
4
8
8
0
16
16
0
28
28
0
0
16
0
0
8
4
20
0
8
8
8
16
0
4
8
8
0
0
4
4
4
8
2
1
1
0
14
14
14
24
24
24
16
16
16
20
20
2
16
16
8
8
0
0
16
16
0
8
6
6
6
6
6
16
0
0
21
16
16
2
2
2
16
21
21
21
1
1
8
24
8
8
0
0
0
0
0
8
8
0
1
8
0
4
8
8
0
16
4
0
16
16
16
4
16
1
8
8
8
8
8
2
2
16
16
16
0
0
8
8
0
0
1
1
1
2
2
8
24
8
8
8
8
16
16
10
8
8
8
16
16
16
8
8
8
8
18
20
16
20
12
8
0
0
0
8
16
0
0
8
8
8
8
4
4
0
0
1
0
8
8
8
1
1
1
0
4
8
8
8
8
24
4
0
12
12
0
0
0
0
8
24
0
0
9
8
16
16
16
9
0
0
0
16
0
0
16
16
0
8
8
8
8
8
8
0
0
0
0
12
0
0
0
0
0
2
8
8
8
8
8
8
8
8
8
0
0
2
8
4
4
16
16
16
16
0
59
1
1
0
50
50
50
50
0
0
24
12
0
0
0
8
8
10
10
2
4
4
4
4
4
5
4
4
4
0
0
0
0
8
24
0
0
17
17
16
8
8
8
8
8
8
0
14
14
14
0
1
1
0
0
0
2
2
8
8
0
0
5
4
4
0
0
0
0
32
32
0
0
0
0
16
4
16
25
25
25
16
16
20
16
0
10
10
0
8
8
8
8
30
30
16
16
2
2
0
1
1
8
0
0
0
16
0
8
8
0
12
32
32
32
32
16
16
4
4
8
1
4
8
8
8
8
0
0
18
0
8
8
0
8
4
4
4
16
16
16
32
32
8
8
1
0
4
4
0
8
8
8
8
8
8
0
8
24
8
8
8
16
16
16
16
10
2
24
16
16
8
16
8
8
0
8
8
8
8
0
0
2
2
0
8
8
8
16
16
17
0
6
1
1
0
4
1
1
1
2
2
2
0
16
16
0
0
12
8
0
0
1
8
8
8
8
16
0
16
16
0
0
8
2
2
8
8
8
8
8
8
1
16
0
0
0
0
0
16
16
18
16
16
0
20
20
16
6
2
2
2
16
16
0
16
0
16
16
16
0
0
0
0
0
19
0
0
0
0
4
4
4
4
4
4
16
16
1
16
0
16
0
16
16
24
16
32
32
4
6
6
4
0
8
8
8
16
8
0
8
0
24
8
8
1
1
0
4
4
0
0
0
8
8
8
19
19
0
8
16
16
16
1
9
12
0
0
0
0
32
32
32
32
32
0
1
8
8
4
32
32
32
4
0
0
4
8
8
8
8
0
8
16
8
0
0
0
0
8
8
8
8
8
8
8
8
8
16
0
0
0
0
8
8
16
8
2
0
8
8
16
16
51
0
2
2
2
2
0
0
0
18
8
8
8
8
12
12
4
0
0
24
0
0
0
8
8
16
16
16
24
8
0
0
0
0
16
16
0
8
0
1
8
8
8
8
0
4
0
0
0
0
2
2
2
2
8
0
0
8
8
8
24
0
16
16
16
16
16
16
16
16
16
16
16
16
16
8
8
8
8
8
8
8
24
24
0
0
0
24
17
1
1
0
0
0
1
2
2
2
11
0
8
0
4
0
0
3
3
16
16
16
16
4
1
16
0
0
0
8
8
16
0
16
0
0
0
16
16
16
4
0
1
1
1
1
1
1
1
0
0
0
1
20
8
0
16
20
16
16
16
0
0
0
0
24
8
8
8
16
8
8
0
16
16
16
0
0
0
0
24
16
16
16
16
16
16
2
34
0
0
0
1
16
8
0
0
0
0
2
2
2
24
24
4
8
8
8
0
8
8
0
0
8
16
24
24
0
0
0
2
0
16
32
2
2
8
8
8
8
8
0
0
0
0
0
0
0
2
8
8
16
16
16
0
0
5
4
4
4
0
24
1
2
8
0
2
2
8
8
8
8
16
16
4
16
8
24
16
16
0
0
0
16
16
8
8
8
8
0
0
8
8
8
0
8
8
0
10
2
18
16
16
16
16
16
0
8
4
4
3
0
16
0
16
16
8
8
8
0
8
8
10
8
8
8
8
32
2
1
8
8
8
8
8
0
8
0
48
0
0
0
0
0
0
24
26
24
1
1
1
1
16
16
16
16
32
0
10
0
44
8
44
8
8
8
0
8
8
0
0
0
8
8
8
8
1
1
1
16
4
0
1
0
0
12
12
1
8
0
1
1
1
0
0
0
0
0
0
0
4
4
2
0
0
0
0
0
1
1
1
8
8
8
0
4
4
16
16
16
16
24
1
0
0
0
0
0
6
16
16
1
4
0
24
0
4
2
2
2
2
16
16
8
8
8
1
1
8
8
0
0
0
0
4
4
4
4
8
16
12
4
4
8
8
8
25
8
4
4
4
20
16
16
16
16
16
16
8
4
4
2
8
16
0
0
4
8
4
0
0
0
0
16
16
8
8
8
8
8
8
0
0
0
8
8
8
8
0
16
16
16
4
4
0
8
0
16
1
32
32
32
32
8
8
8
8
0
0
8
8
9
2
2
0
0
24
2
2
2
1
0
0
20
4
16
16
16
8
0
8
0
8
0
9
0
0
8
0
17
2
2
2
2
0
0
8
8
8
8
8
16
16
0
0
4
20
20
20
20
20
10
26
26
16
24
0
4
4
0
0
8
8
0
0
0
4
0
8
8
0
0
4
4
8
0
0
0
0
0
0
8
0
0
0
8
0
0
0
8
8
8
0
0
8
8
10
8
8
0
8
8
8
8
8
8
0
8
8
8
8
8
8
18
18
0
16
17
8
16
16
8
8
8
16
16
2
2
2
0
16
16
0
10
10
0
0
0
0
0
12
12
12
24
0
4
8
8
16
10
10
1
8
8
1
16
12
16
16
16
16
16
24
0
1
0
32
32
0
0
16
16
16
4
4
8
8
8
8
8
8
0
0
0
8
8
8
8
8
4
4
0
0
8
8
0
0
2
2
2
0
0
0
61
8
8
0
4
4
1
8
8
8
16
20
8
8
8
8
8
8
8
8
0
8
0
0
8
8
8
0
0
0
8
12
4
0
8
8
8
8
0
0
0
0
0
6
22
6
6
6
8
8
2
44
0
0
0
0
0
4
1
2
4
4
8
0
0
16
8
24
8
0
0
0
4
4
16
8
0
0
8
8
8
8
8
8
4
9
9
9
8
8
0
16
0
0
0
24
24
24
8
8
12
32
32
12
8
8
8
0
16
0
0
0
16
16
0
0
0
8
0
0
4
8
16
16
8
8
8
32
32
0
2
8
8
8
8
8
2
16
16
16
16
33
1
12
2
2
2
0
12
8
24
8
0
36
0
0
4
32
32
8
8
8
8
2
16
4
4
4
0
0
4
4
8
8
8
8
8
0
0
24
0
0
0
24
8
2
10
8
8
0
0
0
16
16
0
4
4
17
17
0
0
2
2
2
2
2
6
24
0
9
9
24
8
2
2
2
0
0
0
0
0
0
0
0
1
4
8
8
8
0
0
0
0
8
0
48
48
56
58
58
0
8
2
0
0
0
0
0
0
0
0
8
4
20
20
8
0
4
8
16
8
8
16
16
16
8
8
8
16
16
16
16
16
16
16
16
16
16
16
16
16
4
4
16
16
16
16
1
4
4
0
0
8
8
0
0
0
0
8
16
0
0
0
16
0
0
16
1
1
8
8
16
16
16
16
0
20
27
8
8
8
4
4
4
4
8
8
8
8
16
16
1
1
1
1
1
8
8
8
8
8
8
10
10
8
8
8
8
8
2
8
24
24
16
0
17
17
16
16
8
8
8
10
0
8
8
16
16
4
8
9
0
25
8
8
0
0
4
8
0
2
16
16
16
0
0
0
8
8
1
8
8
8
8
8
8
8
8
8
8
0
0
32
16
8
8
8
8
16
16
8
8
24
24
24
0
0
8
16
8
24
8
8
8
8
8
12
24
8
2
2
2
8
8
8
0
0
0
1
4
4
24
4
16
4
4
0
0
4
0
16
16
2
2
16
32
1
16
16
0
0
8
8
8
4
16
16
20
16
20
20
20
20
32
16
4
4
4
0
0
0
0
0
4
4
2
0
0
0
16
0
2
2
4
0
20
20
16
16
1
8
2
2
8
8
0
0
2
2
16
16
16
32
16
16
16
16
16
1
0
4
2
24
24
40
40
8
8
8
0
0
0
0
16
16
16
16
0
21
1
42
16
16
0
8
0
0
16
0
0
0
8
8
0
8
8
8
8
8
8
8
8
8
8
8
8
27
16
0
0
0
4
4
0
0
2
0
0
8
8
16
16
16
24
0
0
0
58
1
1
8
8
16
16
16
8
8
8
0
2
0
0
0
0
0
0
0
24
16
0
0
16
8
8
0
0
0
8
60
60
60
8
8
8
0
4
4
4
4
4
4
0
8
8
0
8
8
8
0
0
0
0
8
4
0
0
16
16
0
0
0
16
16
0
16
16
0
4
4
0
2
25
25
8
8
16
16
16
16
0
58
16
0
8
8
8
5
5
5
0
0
0
0
20
0
0
0
0
0
0
25
1
1
1
8
0
0
8
0
0
16
1
16
16
0
0
0
0
0
1
1
0
0
8
16
16
4
1
8
8
8
8
0
17
17
16
16
0
0
0
8
8
8
8
0
0
0
8
3
3
3
10
0
1
17
1
0
0
0
0
0
2
2
2
2
0
8
0
8
8
8
8
16
16
0
12
8
8
8
8
0
8
8
8
8
8
8
8
56
16
8
8
6
0
8
8
8
0
16
8
8
32
0
0
0
16
16
2
26
8
8
8
8
0
8
18
0
8
16
8
0
8
8
8
16
20
4
0
8
0
0
0
0
0
17
16
1
4
4
4
4
0
8
8
8
0
0
4
16
16
16
16
16
8
16
16
24
8
0
28
16
16
16
16
0
2
0
1
1
1
1
1
1
1
0
17
1
8
8
0
0
0
4
4
4
4
1
8
8
24
8
8
0
0
16
8
8
8
20
40
0
8
4
12
8
0
16
16
16
8
8
8
0
0
0
12
12
8
8
8
0
0
8
16
2
0
0
0
0
29
8
0
0
1
1
1
0
2
1
16
0
20
24
24
32
16
8
1
1
1
1
1
0
0
7
7
0
28
1
1
16
16
16
16
8
16
16
16
16
16
16
0
0
0
0
16
24
24
8
8
15
15
0
4
0
0
8
8
8
8
0
16
8
8
8
8
1
1
1
1
4
8
0
16
16
24
16
16
16
16
1
33
1
1
1
49
1
49
0
0
8
8
4
4
0
0
2
2
8
16
0
2
2
2
0
1
0
0
16
16
16
8
4
8
8
8
8
16
16
0
2
2
0
1
1
16
16
4
4
32
0
2
2
16
16
2
2
16
16
0
2
0
8
2
2
0
16
16
16
8
8
8
16
16
16
0
8
0
16
16
0
0
16
16
16
16
16
16
0
4
2
2
2
2
32
32
6
6
1
1
0
0
0
24
0
24
16
1
8
24
16
9
9
8
8
4
4
6
10
8
8
16
16
4
4
0
13
13
0
0
0
4
8
0
8
8
8
8
0
2
9
16
16
16
8
8
16
24
16
16
16
16
16
16
28
8
0
0
0
16
0
0
8
32
32
32
8
8
16
0
8
8
2
10
2
2
8
4
4
4
4
4
4
0
16
32
32
0
8
8
8
8
8
8
8
8
8
8
0
0
0
8
0
0
4
4
24
24
0
8
0
16
8
32
32
0
1
1
1
1
1
8
0
0
8
8
8
8
16
16
1
1
1
1
8
8
8
0
0
0
0
8
25
1
0
8
8
4
4
4
4
16
16
8
8
8
8
0
8
8
8
8
4
12
4
4
4
32
32
32
32
32
32
8
8
1
1
0
0
0
9
9
9
9
24
24
8
12
8
4
20
20
20
25
16
8
8
0
8
8
0
4
0
0
8
0
3
3
3
3
8
8
16
16
0
0
0
8
8
8
4
4
4
8
8
8
16
16
8
8
8
0
0
0
4
4
8
8
8
8
0
12
8
0
0
0
8
20
4
0
0
0
32
33
8
0
2
16
16
8
8
8
8
8
0
8
8
16
16
16
16
16
16
16
0
8
8
8
8
8
8
8
0
16
8
8
8
8
28
20
20
8
8
4
8
0
2
2
16
0
0
10
10
10
10
10
0
8
32
8
32
22
54
16
16
16
16
16
0
0
0
0
0
8
8
8
8
0
16
0
0
8
8
16
1
1
1
1
1
0
4
8
8
8
24
8
8
1
9
9
1
1
1
0
16
16
8
8
8
4
8
0
16
24
8
0
0
16
16
16
16
8
8
8
8
11
24
16
16
16
16
16
0
0
16
0
8
8
8
16
16
8
8
24
1
0
16
6
6
24
24
8
0
0
0
0
0
0
0
1
4
0
8
8
8
0
8
8
1
1
1
1
2
4
4
8
8
0
0
2
2
0
8
8
8
8
8
0
0
16
16
16
16
8
8
8
1
16
16
0
8
8
8
8
8
0
0
0
4
4
4
0
0
0
2
2
2
24
3
0
0
0
18
4
4
0
0
0
0
0
8
8
8
8
8
8
8
1
1
1
0
8
0
0
0
8
16
8
8
1
17
28
8
24
0
0
0
0
7
12
0
0
8
16
1
1
1
1
0
0
4
4
4
4
1
1
8
8
0
8
8
8
0
0
0
0
8
8
8
8
8
32
8
4
16
16
2
8
8
8
8
8
8
0
0
1
0
8
8
8
8
24
0
1
1
8
8
0
0
0
16
8
8
1
0
8
8
4
8
8
8
2
0
4
4
0
8
8
0
22
4
16
8
8
8
8
0
0
8
8
16
8
0
0
16
16
16
16
0
0
0
0
2
8
8
8
8
0
16
16
16
0
16
1
1
2
2
2
2
0
0
16
16
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
8
8
0
4
16
16
16
53
1
8
8
8
8
16
16
16
16
0
0
8
8
8
8
8
4
8
8
8
0
0
8
16
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
25
2
2
16
2
2
16
10
19
3
19
19
3
3
12
4
4
2
8
4
4
4
0
17
2
0
1
1
1
32
1
1
16
2
1
1
1
1
8
8
12
16
16
0
16
8
4
4
4
1
1
24
0
0
0
25
8
8
4
8
16
16
10
10
10
0
8
16
16
2
2
16
8
8
16
16
16
16
8
8
16
16
17
1
2
0
4
4
16
8
25
8
16
4
4
4
16
16
0
8
8
8
4
4
4
4
4
16
8
8
8
8
3
16
8
8
0
1
0
4
8
8
8
8
8
8
8
18
18
0
1
16
16
8
8
8
0
0
16
16
16
2
2
0
8
8
8
8
8
0
0
0
0
8
8
8
0
8
0
0
8
8
2
2
2
16
16
0
8
8
8
8
2
2
2
0
8
8
8
12
8
8
0
0
0
24
24
4
1
1
9
2
1
1
0
16
8
8
8
8
8
8
8
8
8
8
4
16
20
16
24
24
12
8
24
24
32
8
8
8
8
8
8
4
1
22
2
0
16
16
16
16
16
16
16
16
8
8
8
12
0
0
0
3
3
0
16
16
8
8
8
8
8
8
8
8
16
8
8
8
8
8
0
0
0
0
0
0
0
1
3
0
0
0
0
2
2
16
2
0
8
8
8
24
8
8
16
16
8
8
8
8
8
0
17
17
16
16
16
16
0
0
0
16
0
0
8
8
8
8
8
8
0
0
2
0
1
4
4
0
8
8
8
10
8
8
8
8
8
8
8
8
8
8
8
0
8
8
8
8
8
8
8
8
8
0
2
2
0
0
16
16
16
4
4
4
4
0
8
8
0
4
16
16
6
1
1
9
1
0
4
1
0
0
0
0
0
0
8
8
8
0
0
1
8
0
26
8
8
8
0
0
0
0
16
19
48
48
16
16
16
0
8
8
0
0
17
18
18
18
4
16
16
16
8
16
16
0
0
0
0
16
16
16
0
2
2
8
8
8
8
8
8
8
0
16
0
4
16
9
9
0
16
0
0
0
0
8
8
4
4
0
8
8
8
16
4
8
8
0
0
0
16
16
16
16
16
16
0
1
0
8
8
8
8
0
2
2
21
4
4
8
8
8
32
8
24
0
0
0
14
0
1
0
0
32
32
4
16
16
12
0
0
4
4
16
8
0
8
8
8
8
8
0
8
8
8
8
8
1
0
4
0
16
8
8
8
8
8
8
8
8
12
8
8
48
48
8
8
8
16
16
8
4
8
8
1
1
2
0
1
1
1
24
16
24
16
24
0
0
8
8
8
8
16
0
0
0
0
0
0
8
0
4
1
0
4
0
6
2
1
1
1
1
0
4
12
12
0
18
16
1
0
0
8
0
0
8
8
8
8
8
8
16
16
1
1
1
1
1
0
0
2
2
16
16
16
16
0
0
0
2
0
0
0
0
0
0
16
0
8
8
8
8
8
8
12
12
8
8
2
2
2
1
0
4
0
4
1
8
8
0
16
12
12
12
0
16
8
12
0
0
0
12
8
8
8
8
6
0
0
4
8
2
2
8
8
8
8
8
4
32
0
16
16
0
4
4
20
20
2
2
2
2
0
0
8
16
16
8
0
0
8
8
4
4
16
16
0
0
8
16
16
10
4
4
0
0
0
0
8
8
8
24
24
2
2
2
0
0
16
0
0
0
22
22
18
4
16
16
2
2
2
2
9
9
8
8
8
16
16
16
8
8
8
8
8
20
8
16
16
8
0
0
8
8
8
4
0
8
8
8
8
0
0
56
56
8
8
16
0
0
0
0
8
8
0
16
8
8
8
16
16
0
0
8
16
17
17
8
2
0
0
0
8
8
8
60
60
60
60
60
16
16
8
24
24
8
8
16
0
2
2
24
24
16
8
8
24
24
0
8
8
24
8
24
8
16
16
0
0
0
12
16
16
16
16
8
8
16
1
1
1
0
40
1
8
8
8
3
8
0
0
16
24
1
1
8
8
8
2
2
18
18
0
0
0
4
0
0
16
16
0
0
8
16
24
18
0
2
8
8
16
24
8
0
0
0
4
8
8
1
24
4
4
4
0
0
1
0
0
16
0
0
8
0
0
8
8
8
8
8
8
16
16
4
16
24
24
8
16
24
0
8
16
16
16
16
16
16
8
4
4
4
4
4
4
0
0
0
4
4
4
4
0
20
25
1
6
1
1
1
1
0
0
0
8
8
16
16
0
0
0
0
0
0
8
8
23
23
23
0
0
4
4
12
12
12
12
12
12
12
8
8
0
0
0
0
8
8
32
8
16
16
44
44
44
44
4
4
4
16
4
8
8
8
8
24
28
28
28
8
29
29
0
0
0
0
2
2
2
8
8
0
8
8
0
0
0
0
0
0
0
0
8
8
4
20
16
16
4
0
0
1
4
4
4
4
4
2
8
9
9
16
16
2
2
0
8
8
0
1
1
4
0
8
8
8
8
24
8
0
0
2
2
2
2
16
8
19
23
1
1
0
0
2
2
1
8
0
0
24
8
1
1
1
1
4
4
4
32
16
16
16
1
4
4
4
4
32
32
32
24
17
16
16
16
16
8
8
4
1
0
8
8
24
1
1
4
8
16
4
4
0
4
8
8
0
4
16
0
0
0
8
8
8
8
8
0
0
0
32
0
0
8
12
4
20
4
16
4
4
1
2
2
0
8
8
4
4
4
4
8
8
8
18
16
16
0
24
24
24
8
8
8
8
4
4
4
4
4
8
8
4
4
4
4
8
8
4
4
0
0
8
0
8
16
8
8
8
1
8
8
8
8
8
8
8
16
16
16
16
16
1
8
1
1
1
1
16
16
6
6
8
8
8
8
8
8
8
8
0
0
16
16
8
8
8
8
8
8
8
8
0
0
0
8
10
2
0
0
2
2
15
0
8
8
8
10
10
8
4
8
8
1
1
1
0
16
8
0
25
25
16
16
0
8
8
8
8
8
4
4
4
4
4
4
56
8
0
1
8
8
8
8
16
16
16
16
16
16
8
8
12
12
12
8
8
0
16
0
16
0
0
0
8
0
2
1
1
1
2
3
2
2
2
2
2
8
8
0
0
8
0
0
8
8
8
8
0
0
0
28
28
16
24
8
8
8
8
32
32
0
8
0
4
4
1
1
0
16
16
8
8
8
8
2
2
0
4
4
8
8
8
0
8
2
2
16
16
0
0
0
0
0
0
0
0
16
4
8
8
0
8
8
8
8
0
0
0
16
16
8
0
1
1
8
8
8
16
8
16
16
14
10
10
0
28
28
28
28
16
16
16
16
8
8
0
1
16
16
0
16
2
36
2
8
8
8
16
0
8
0
32
32
0
0
1
1
4
4
0
0
0
0
16
1
0
4
25
25
2
2
2
2
16
16
0
16
16
20
24
16
8
0
0
16
4
4
4
4
4
8
41
41
8
16
16
16
0
2
8
8
0
8
8
8
8
8
8
8
8
8
0
1
8
8
0
1
8
0
1
1
1
1
0
2
0
16
4
21
16
24
4
4
0
0
0
0
0
0
0
32
0
0
8
8
8
8
8
8
2
0
8
0
4
16
16
16
16
0
0
0
20
20
20
20
20
4
1
1
1
8
32
32
0
16
16
8
8
8
1
1
32
0
16
16
8
8
8
8
4
4
4
2
2
8
8
4
0
16
16
0
8
20
0
8
18
16
0
8
8
8
25
25
25
25
25
25
0
0
0
0
8
8
8
8
8
8
8
8
3
1
2
16
16
16
16
0
2
2
16
16
20
0
0
0
0
0
16
16
16
16
8
8
8
16
8
4
16
8
40
8
8
8
2
8
0
16
8
24
24
21
16
16
16
16
8
12
8
8
16
16
24
16
8
8
0
0
8
8
8
8
8
8
0
0
8
8
0
0
8
0
0
0
8
8
0
16
48
48
48
8
0
0
0
8
8
8
40
0
0
24
8
8
8
8
2
8
26
8
8
8
1
1
17
17
17
16
16
16
4
4
4
0
8
24
8
8
8
8
0
8
0
8
8
8
16
16
16
16
0
0
0
4
16
16
8
0
0
0
0
19
4
20
2
2
0
2
2
2
16
16
16
0
40
40
40
21
0
0
2
2
2
2
2
2
2
2
2
0
0
8
8
25
4
8
8
0
1
1
1
1
1
4
4
4
0
16
16
16
16
0
8
8
8
8
16
16
24
24
24
24
24
0
0
16
1
16
16
16
0
24
8
8
0
0
16
0
0
0
0
16
16
0
8
8
8
8
8
8
8
8
8
8
8
4
36
4
0
0
2
2
0
0
20
4
0
16
8
8
32
32
16
16
0
0
2
8
4
4
4
8
8
8
8
0
0
0
0
4
8
8
8
8
8
0
16
16
4
8
16
0
0
24
16
4
0
8
8
8
16
16
16
1
2
2
2
16
0
2
2
2
8
16
16
16
4
4
1
0
0
8
1
4
1
16
16
37
37
16
3
8
0
8
8
0
0
29
29
24
16
16
8
8
8
4
4
12
8
16
16
0
0
8
4
16
4
4
4
8
8
8
8
8
32
4
4
4
0
20
20
20
16
16
0
8
8
8
4
0
2
2
8
0
20
20
8
8
8
8
16
16
16
16
16
8
8
8
8
8
1
1
1
1
1
10
8
8
8
24
8
40
16
8
8
8
8
8
0
4
4
8
8
8
8
16
16
16
32
32
26
0
0
0
16
8
8
0
8
8
8
8
0
0
20
0
0
0
24
8
0
16
2
24
0
0
16
16
3
0
0
0
0
8
8
16
24
16
0
1
1
4
8
8
8
8
16
21
21
0
0
0
0
0
8
16
16
0
1
0
4
4
8
4
8
6
8
8
0
0
0
16
18
8
1
16
16
16
16
16
0
36
36
36
36
36
8
8
8
8
8
8
8
4
4
4
0
8
0
2
8
8
4
4
0
16
16
8
8
8
8
16
4
8
8
0
35
35
35
8
8
8
8
8
8
8
8
8
16
24
24
24
24
24
8
20
0
0
0
0
10
10
0
0
16
16
48
24
24
4
4
0
0
0
16
16
16
8
0
0
16
2
2
2
2
2
8
8
8
8
0
20
8
8
8
8
8
8
8
8
0
0
8
8
1
8
8
8
1
1
0
0
16
8
0
16
8
8
8
0
0
0
16
16
16
16
16
16
0
2
2
2
2
2
2
0
0
8
0
0
0
8
4
8
8
8
8
8
8
8
8
8
8
0
8
8
8
1
18
18
22
8
8
8
8
8
8
8
8
0
0
0
16
16
20
0
4
8
8
24
24
8
0
16
9
9
8
16
16
0
0
16
16
0
16
16
8
0
1
16
24
4
4
0
0
8
8
8
0
0
0
0
2
2
0
0
0
0
12
16
16
16
2
2
2
2
2
2
4
4
4
4
4
0
8
8
8
36
36
16
8
8
8
0
4
4
4
8
8
16
0
4
4
8
8
8
8
8
8
2
2
2
0
0
1
1
1
1
40
8
8
0
0
8
8
8
8
8
8
24
16
16
16
16
4
4
0
0
0
0
16
16
16
8
8
0
0
0
2
8
8
8
8
8
0
0
0
16
16
16
3
2
2
4
4
24
0
8
16
16
16
16
8
0
0
16
8
8
8
8
4
8
8
2
2
0
1
4
4
8
8
8
9
8
12
0
1
1
1
1
1
0
8
8
8
8
2
10
2
6
6
0
0
4
4
0
0
0
1
1
6
8
16
2
2
2
0
8
0
0
8
2
2
16
16
16
0
20
16
0
16
16
2
2
17
17
0
0
16
16
16
0
0
24
0
0
8
16
16
16
16
0
8
0
0
16
16
12
12
4
4
4
13
13
16
16
16
16
8
0
0
2
2
0
0
8
8
8
10
8
8
8
8
0
0
0
4
4
1
1
1
25
1
1
1
8
8
8
0
0
32
32
32
32
32
32
2
2
8
24
8
8
16
8
0
0
22
18
0
0
16
6
22
22
2
16
16
16
16
0
16
16
16
20
20
8
8
9
16
0
48
8
16
0
0
4
4
6
16
0
8
8
8
1
8
8
8
8
1
1
2
4
4
4
0
0
4
4
4
4
8
8
8
18
0
16
16
12
12
40
0
0
8
8
8
0
8
8
8
24
18
32
8
8
24
24
8
0
4
4
2
1
1
16
0
0
16
2
2
2
1
0
4
4
1
0
1
1
16
0
0
0
16
16
25
16
8
8
8
16
2
2
2
16
16
16
0
8
16
16
16
16
0
0
0
8
8
8
8
8
8
0
0
0
0
16
33
33
33
0
0
0
0
0
8
8
8
8
8
8
8
8
8
0
16
1
1
4
2
2
2
2
8
8
8
8
0
8
0
0
1
1
0
0
8
8
8
8
8
0
8
8
4
24
0
0
0
8
8
0
0
8
8
24
16
49
1
17
1
8
8
8
8
8
0
0
0
0
8
8
0
1
4
4
4
16
20
2
2
18
0
0
0
8
8
8
8
32
32
32
32
4
0
8
0
0
8
16
2
2
2
16
16
16
28
16
16
16
16
6
8
8
24
24
16
1
17
17
0
24
24
4
4
32
1
9
0
0
32
32
32
1
8
8
0
0
8
8
8
0
0
8
16
4
4
4
0
0
24
24
24
24
8
8
20
20
0
0
4
16
16
8
8
8
29
16
16
16
2
2
2
16
16
16
0
8
8
16
16
16
8
8
0
0
16
16
16
16
16
0
0
0
32
32
32
0
0
1
2
8
0
16
16
2
10
8
8
8
8
8
8
8
8
0
0
0
32
8
8
8
4
8
8
8
8
8
8
0
0
16
16
16
16
0
0
0
0
4
8
4
4
17
8
8
24
8
24
12
40
32
32
32
4
0
0
0
0
0
0
0
0
0
8
4
0
8
20
4
4
16
8
8
8
8
0
0
56
48
16
0
4
8
0
8
8
8
8
4
0
0
0
0
0
8
20
16
16
8
1
1
8
8
8
16
16
4
4
4
4
8
8
16
0
8
8
44
44
8
8
16
16
12
4
4
8
8
8
8
0
0
0
16
16
16
8
8
32
24
24
2
20
20
16
16
0
0
16
8
8
8
8
8
0
8
8
8
8
8
8
8
8
8
8
0
0
0
16
16
0
0
16
0
0
2
2
2
4
4
4
4
2
16
16
16
16
16
16
0
0
8
0
8
8
8
8
0
4
4
4
4
8
0
0
8
8
4
0
0
0
0
24
24
0
2
2
2
2
8
8
8
0
41
8
33
8
0
0
0
8
8
16
2
24
0
0
1
1
1
0
0
16
0
24
48
13
1
4
8
16
0
4
4
4
0
0
12
1
8
8
0
8
16
8
0
16
17
16
16
1
0
16
8
4
4
4
16
0
0
0
0
0
0
0
8
0
16
8
8
12
10
10
32
4
0
24
8
4
4
4
6
6
0
27
27
27
4
0
0
16
16
16
0
0
0
0
8
2
2
8
17
17
16
16
16
16
16
16
8
8
8
0
8
0
0
13
4
4
1
0
1
1
1
8
8
8
8
16
16
26
24
24
4
4
4
4
8
8
0
0
8
8
8
4
1
4
4
0
0
16
8
8
8
8
8
9
4
4
4
4
0
8
18
8
8
8
0
0
16
16
16
16
8
0
0
0
0
8
8
8
8
8
8
8
16
16
16
17
2
2
16
16
16
16
16
16
8
8
8
2
2
2
24
8
2
2
8
8
8
4
4
8
8
8
8
0
8
8
8
8
8
8
8
18
18
24
0
16
0
9
20
9
9
8
0
0
0
8
0
0
8
8
24
0
24
8
8
8
8
8
34
8
32
8
1
1
1
0
0
0
0
8
8
8
8
1
0
0
8
8
8
6
2
2
8
0
0
4
8
8
8
16
8
17
8
12
8
1
4
4
4
0
0
8
24
24
0
0
0
0
12
24
8
32
32
16
28
16
16
16
16
8
8
8
0
0
0
16
8
0
8
8
8
0
18
0
0
0
0
0
0
0
1
1
0
8
19
2
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
8
8
8
8
8
8
10
16
16
16
10
0
0
0
16
0
0
8
8
8
0
2
28
16
24
30
0
20
20
0
4
0
24
2
2
2
2
4
4
4
32
32
2
2
0
0
0
20
20
8
8
8
8
8
0
0
24
24
24
8
8
8
0
0
8
8
8
2
8
17
17
17
17
40
8
32
9
9
9
8
8
8
4
4
4
8
8
0
0
8
0
0
19
1
4
4
4
4
4
4
4
3
1
2
3
16
8
16
4
4
4
8
16
1
1
16
24
4
4
4
4
8
4
4
0
0
4
20
20
20
1
1
1
1
1
1
8
8
8
24
16
16
0
0
0
0
0
8
8
8
4
12
4
0
0
4
12
0
0
0
4
4
4
0
8
8
8
8
32
33
33
33
33
2
2
0
0
8
8
2
2
2
16
16
0
8
8
0
8
8
8
0
0
0
0
8
8
10
8
8
0
0
8
8
0
32
16
16
20
0
0
0
0
0
0
0
8
0
0
0
8
8
8
0
16
16
0
0
0
16
16
8
8
8
16
16
24
24
16
16
16
13
0
1
0
8
8
42
1
1
16
0
4
4
4
4
0
8
8
4
2
2
2
2
2
12
12
0
16
16
16
16
4
16
16
16
16
24
16
16
0
8
8
8
8
8
0
0
8
8
0
8
1
1
0
32
32
32
4
4
0
0
8
8
8
8
8
8
0
1
1
1
1
0
0
2
0
0
0
0
0
8
8
8
8
0
1
8
16
16
34
16
1
18
0
0
8
8
8
8
16
0
0
18
0
0
0
0
8
0
4
8
8
16
16
8
16
16
1
1
1
1
1
1
0
0
16
16
4
16
16
2
8
10
16
16
16
16
16
6
2
8
0
4
16
8
8
18
8
8
0
0
0
8
8
8
0
32
32
32
0
1
0
4
4
0
4
24
24
0
0
0
2
2
1
20
16
16
16
16
0
0
0
4
16
16
16
0
0
32
16
16
16
8
8
8
8
16
16
16
16
16
16
4
12
0
0
8
0
8
8
8
0
0
0
16
16
16
16
16
16
16
16
8
8
0
2
0
20
8
8
8
2
2
24
24
24
24
24
24
24
24
32
32
32
8
8
8
8
8
9
9
9
20
20
1
1
1
1
0
4
4
57
61
8
8
8
2
2
8
8
8
8
3
3
8
8
8
8
8
8
16
8
8
8
8
32
32
8
12
12
12
8
16
8
8
8
0
0
16
3
3
3
0
8
0
0
0
16
16
5
8
0
0
0
1
16
16
0
0
0
4
4
8
8
8
20
8
2
8
8
16
0
8
0
0
0
0
0
0
2
2
2
0
0
2
8
8
0
0
8
8
19
4
4
4
4
4
16
16
0
24
16
8
8
4
8
0
0
0
0
2
0
16
16
16
0
8
8
8
1
1
1
8
0
3
8
8
8
4
4
8
8
8
8
9
0
0
36
36
8
8
8
13
13
13
13
8
8
8
8
16
0
0
0
16
16
16
16
10
8
16
8
8
0
4
4
24
1
1
1
4
16
16
16
16
0
9
9
8
8
8
4
4
4
4
8
0
0
0
8
0
0
0
8
8
8
8
8
8
4
4
8
8
0
0
16
8
8
8
8
0
29
16
0
16
24
0
0
8
0
1
1
0
8
0
0
0
16
16
16
0
16
16
24
16
16
16
16
16
1
1
1
8
8
0
0
0
2
2
2
24
24
8
0
16
0
0
0
0
16
16
0
10
16
16
29
25
2
2
4
4
4
16
16
0
0
21
8
8
8
8
8
0
0
0
0
16
8
0
0
0
16
8
8
8
8
8
0
0
8
8
8
0
8
16
4
4
4
4
16
8
8
8
8
1
1
8
8
0
0
8
8
0
8
8
0
16
16
16
8
8
16
0
0
0
8
0
8
20
4
8
8
8
16
8
0
0
0
8
8
4
8
8
8
13
13
13
13
1
16
16
8
8
17
0
16
16
16
4
20
20
12
8
8
8
8
4
16
16
16
8
1
0
4
16
16
0
8
18
8
8
8
4
8
24
8
8
8
0
0
1
1
1
1
8
0
0
24
12
2
0
0
0
0
16
8
8
8
0
4
4
12
4
4
4
4
4
4
4
4
4
4
12
4
6
6
6
0
0
0
0
8
8
8
8
8
8
8
8
0
0
0
24
24
16
16
16
16
8
56
16
2
2
2
8
8
8
1
1
1
1
1
1
24
24
0
1
0
0
16
16
24
16
16
8
8
8
8
8
8
8
32
8
36
36
0
0
16
8
8
8
8
8
8
8
8
8
8
8
8
17
17
8
8
8
0
0
16
16
24
8
0
8
8
8
8
8
16
16
16
16
26
58
8
8
8
8
16
21
1
8
0
16
0
8
2
20
4
24
24
8
16
16
0
0
0
8
25
0
0
8
2
2
1
4
2
8
8
0
16
9
32
8
0
0
1
1
1
26
24
8
8
0
8
2
2
2
8
0
0
0
2
2
1
1
3
1
1
1
1
1
1
1
1
1
1
1
1
4
16
20
8
0
8
2
8
8
8
8
8
8
12
0
1
1
1
1
1
20
20
8
16
16
16
0
8
0
28
0
24
2
16
2
2
2
2
8
8
8
8
8
8
0
0
16
16
16
16
16
16
8
8
12
12
10
0
0
8
8
8
8
8
8
8
8
8
4
4
24
8
8
16
16
8
8
0
16
16
16
8
8
8
8
8
8
1
1
1
1
0
0
4
4
4
4
2
8
4
4
4
16
32
8
40
2
0
1
8
8
0
0
4
4
4
1
0
0
0
4
4
0
0
0
32
32
16
16
16
8
16
13
4
4
4
8
16
0
8
8
8
4
0
0
16
16
16
24
0
32
0
16
16
16
8
8
16
16
16
8
8
8
0
8
8
0
0
0
0
12
12
12
2
2
21
21
21
4
0
0
16
8
1
0
8
16
16
16
16
8
28
4
20
4
4
2
8
8
27
0
8
8
8
8
16
8
24
8
8
8
8
8
8
8
8
8
0
2
2
4
12
4
4
8
8
8
8
8
8
0
0
0
0
22
0
0
0
2
2
8
8
0
0
0
1
1
2
8
8
24
8
8
16
16
16
16
0
8
8
24
24
2
8
8
16
24
16
4
30
4
1
1
2
24
24
24
28
8
1
1
1
16
16
0
0
16
8
8
8
8
32
48
48
48
16
16
8
0
0
8
8
24
24
8
8
8
16
20
16
16
0
0
0
8
8
0
0
8
8
8
8
8
8
16
24
0
10
10
0
8
4
4
0
4
4
8
8
8
8
0
2
2
8
0
16
16
16
16
12
12
8
32
32
0
0
0
16
16
16
16
8
8
16
16
8
16
16
16
0
0
0
9
18
18
0
0
0
0
0
4
4
4
0
8
16
0
8
8
8
8
8
0
8
16
16
8
8
8
0
16
0
17
17
17
17
8
8
4
16
18
8
8
8
4
13
0
0
1
8
12
0
2
4
0
24
8
8
0
0
0
0
0
4
4
0
8
0
16
0
2
2
2
2
32
16
16
16
0
8
2
2
0
0
16
4
16
8
8
8
8
8
8
8
12
1
24
0
8
8
8
0
0
16
16
16
16
0
16
16
8
8
8
8
8
17
0
0
8
8
0
0
2
16
22
2
2
0
0
24
24
24
8
8
8
24
0
0
1
1
1
1
0
0
16
16
26
8
8
8
16
0
0
0
8
8
0
0
0
16
16
16
0
0
0
0
0
0
0
20
16
8
8
8
1
0
1
1
40
16
17
0
16
2
2
2
16
4
4
0
8
8
18
2
0
0
4
4
0
8
8
2
2
2
2
0
4
0
0
0
16
2
2
2
2
2
4
8
16
16
16
16
4
4
0
8
8
8
8
8
4
4
2
2
4
20
0
0
0
0
0
1
1
1
1
1
1
1
0
2
2
2
2
2
16
16
32
8
16
16
0
8
8
8
8
8
8
16
16
0
0
0
0
0
0
0
0
0
0
0
8
2
2
2
8
8
8
8
8
8
8
2
16
8
2
16
18
0
16
0
0
0
0
1
1
1
4
0
8
8
16
16
0
1
1
1
0
0
1
1
1
0
0
16
8
16
16
0
4
4
8
8
8
8
1
4
2
2
2
19
19
19
0
0
0
0
16
16
16
16
16
16
8
16
16
8
8
8
8
8
8
8
48
8
24
8
6
6
0
16
16
16
1
3
0
0
0
16
8
0
0
0
0
16
16
16
8
8
8
8
16
0
8
20
20
20
20
8
8
3
2
2
20
20
20
16
8
3
8
8
8
0
22
0
0
16
16
8
8
8
8
8
0
0
0
0
16
16
16
2
18
8
0
0
1
8
8
0
8
8
8
8
8
8
4
4
8
8
8
8
8
8
8
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
20
16
20
20
20
8
8
0
0
0
16
0
0
0
0
0
8
16
8
4
20
32
25
1
0
8
8
16
0
0
22
22
16
16
0
0
4
16
16
16
28
8
8
8
8
0
0
8
8
24
28
24
8
8
8
16
16
8
4
16
25
25
25
0
0
1
1
1
16
16
16
0
0
4
4
4
2
0
0
1
1
1
1
8
16
28
20
20
16
8
8
8
8
8
8
16
0
0
8
8
4
8
8
14
14
14
8
8
17
17
17
17
48
48
32
32
32
0
1
1
1
8
8
1
1
1
0
6
1
8
0
8
8
8
8
0
0
4
4
4
4
4
4
0
24
8
8
8
8
6
2
2
2
8
8
8
2
3
3
3
10
10
10
41
41
16
16
16
0
0
0
0
8
8
2
6
6
16
8
1
0
0
0
0
0
0
6
8
2
2
8
8
6
6
16
16
16
8
0
0
0
0
2
2
2
8
4
16
0
15
16
16
0
8
0
2
25
8
0
4
0
1
24
0
8
2
8
8
8
8
0
20
16
16
16
0
8
8
8
8
8
8
8
8
8
16
4
8
8
8
17
16
16
0
0
0
0
0
1
1
0
8
8
0
0
4
4
16
0
16
16
4
4
4
8
0
8
8
8
8
2
8
8
8
8
8
0
0
24
4
8
8
8
8
8
8
16
16
4
32
0
0
0
8
8
8
8
8
4
4
4
0
8
8
8
8
8
8
0
0
8
32
32
0
0
0
4
4
4
4
4
8
8
8
0
16
16
16
0
4
4
4
16
0
0
8
8
8
16
8
32
32
32
32
0
8
8
8
4
4
16
8
8
16
8
4
8
8
24
0
0
16
16
4
4
4
4
16
0
8
17
1
2
2
0
4
4
33
2
8
8
8
4
4
4
4
4
4
4
2
2
20
0
0
0
0
0
0
48
8
8
8
1
1
1
16
16
20
0
16
16
8
0
0
0
0
0
0
0
0
0
16
16
16
16
16
16
16
26
16
1
1
8
8
8
8
16
16
2
8
8
1
1
1
18
2
2
2
2
2
0
0
4
8
8
8
8
8
4
4
4
35
35
2
2
8
8
8
8
8
8
0
8
8
8
8
0
0
0
0
0
8
23
2
16
58
16
0
8
0
0
0
16
16
12
12
0
8
8
4
0
8
8
8
8
8
8
8
8
8
8
0
0
0
1
16
8
8
0
0
0
16
16
0
0
0
0
2
2
16
16
0
8
8
8
48
16
20
16
8
8
8
8
8
8
8
8
8
8
8
8
0
4
4
4
0
8
8
8
8
0
8
0
0
0
16
16
16
0
0
4
4
4
4
0
0
1
1
1
0
8
16
8
4
4
2
2
0
0
0
0
0
8
16
32
8
8
8
8
8
8
8
16
8
24
24
1
8
8
8
16
1
1
8
8
8
16
16
16
0
0
4
4
4
8
8
8
8
8
8
16
20
20
8
8
8
8
8
40
40
0
0
1
1
8
0
4
4
24
8
16
16
16
16
16
16
4
0
0
0
20
16
0
2
16
16
11
16
32
0
0
0
0
24
8
8
0
8
8
8
8
8
8
8
0
0
8
8
8
8
8
8
8
8
8
8
16
1
1
1
1
24
8
8
8
0
12
8
8
8
1
16
2
0
0
0
0
0
0
16
16
8
8
8
8
8
8
8
0
16
16
16
0
0
0
13
13
8
8
24
8
0
0
0
0
8
0
16
16
0
0
8
16
1
8
8
8
0
8
8
8
8
8
0
32
32
32
8
9
0
8
12
12
0
0
4
12
0
16
0
4
4
4
4
0
0
1
0
0
20
20
20
20
16
0
0
0
28
28
8
16
16
16
4
4
4
4
1
16
16
4
4
4
4
4
0
0
0
0
4
4
0
33
1
1
0
32
32
32
2
16
16
32
32
32
32
0
0
0
8
8
16
16
16
16
8
12
12
16
16
2
0
0
0
8
4
16
8
8
0
0
1
0
1
1
27
0
0
8
8
8
16
16
16
16
16
4
8
28
12
0
3
3
3
16
16
0
0
8
8
0
0
0
0
9
0
0
0
8
8
32
32
0
16
16
24
24
0
4
4
8
24
8
25
6
1
1
1
8
0
0
4
4
16
16
0
0
0
8
0
12
4
0
16
16
16
16
8
0
8
0
0
0
0
0
0
0
0
16
16
16
16
16
16
16
20
16
0
4
20
16
4
16
0
0
0
0
0
0
33
1
1
1
33
8
8
8
16
8
8
8
8
8
2
16
4
4
32
9
41
0
8
8
16
20
8
1
8
8
8
8
8
12
32
32
1
1
8
8
8
8
8
8
8
8
0
0
16
2
2
0
0
0
16
16
0
16
0
4
8
14
12
12
8
8
0
0
8
0
0
16
12
8
8
4
8
8
8
8
8
12
8
4
16
8
16
8
8
8
0
0
0
8
8
8
0
8
0
0
0
0
0
8
8
8
2
2
2
0
8
8
8
8
8
8
0
2
8
8
8
0
16
16
0
4
4
4
8
8
8
8
0
0
0
0
8
0
8
0
16
0
8
4
0
0
0
0
0
0
0
8
8
8
8
0
8
8
8
8
8
8
0
0
32
16
4
4
1
1
8
8
8
8
0
0
0
2
8
8
8
8
17
4
4
16
1
16
16
9
16
16
16
16
0
0
0
1
1
1
0
16
16
8
8
8
8
0
0
0
16
16
8
8
8
8
8
8
48
48
5
5
5
8
8
8
8
0
4
0
0
9
9
0
8
8
16
16
16
4
4
4
16
8
1
16
8
8
8
16
6
6
8
8
8
4
8
8
2
2
4
4
4
4
4
4
16
2
2
0
0
0
25
25
19
19
19
8
16
24
16
1
1
1
0
8
8
0
0
0
0
0
0
0
4
4
16
0
8
8
16
16
16
16
16
16
17
17
16
16
16
8
8
8
8
8
1
1
17
17
8
8
8
8
0
0
0
8
8
8
8
2
3
1
1
1
16
16
16
2
0
8
8
1
1
1
16
0
2
2
2
8
8
24
8
8
8
8
8
16
16
16
16
32
32
8
8
63
8
2
8
8
8
35
35
8
8
8
8
8
8
0
8
8
8
8
8
8
16
16
1
1
17
17
4
16
16
8
1
1
16
16
18
18
8
8
16
16
1
1
1
1
1
1
1
17
0
2
2
2
2
0
16
16
16
16
16
3
0
0
0
0
0
2
0
2
0
16
16
14
1
1
0
0
8
8
8
8
8
8
0
16
16
16
16
0
0
0
24
0
8
8
8
8
32
8
8
0
16
0
24
24
24
16
16
8
8
0
0
8
8
2
8
16
10
2
8
10
8
8
7
5
0
8
8
8
8
0
16
16
16
16
16
0
17
17
26
0
16
17
17
1
32
32
32
1
1
20
4
4
4
1
1
0
16
16
17
17
0
0
4
4
16
24
8
8
8
8
5
8
16
16
16
16
16
16
16
16
8
8
8
4
8
8
8
8
8
16
16
8
8
8
8
4
4
4
4
1
16
16
16
16
0
0
8
8
0
0
2
8
8
16
32
16
16
16
1
1
1
1
1
9
1
1
0
0
4
12
0
0
0
12
4
2
4
4
0
1
1
1
1
3
16
0
4
8
8
8
8
20
0
2
16
0
8
8
8
8
8
8
8
8
0
0
24
16
16
16
16
0
8
0
0
0
0
1
1
17
0
0
8
2
2
18
18
2
2
8
8
8
8
1
0
5
5
8
8
0
8
8
8
8
8
8
8
8
8
8
8
59
8
8
8
18
16
8
8
8
0
0
0
0
0
0
0
8
12
0
9
9
8
8
16
32
4
0
0
0
0
2
2
0
0
0
8
8
8
8
8
2
16
8
16
16
60
16
16
0
0
4
4
4
8
8
32
8
8
8
16
8
24
8
8
8
16
16
16
16
16
8
8
8
8
8
8
0
0
0
0
0
0
0
0
0
9
1
16
16
0
0
0
0
8
0
4
4
1
1
1
1
8
12
8
16
16
16
16
1
1
1
4
4
4
0
16
0
32
8
16
36
8
4
4
2
8
8
0
1
1
8
8
8
8
8
0
8
0
0
0
0
0
0
18
16
17
16
1
1
1
1
52
20
16
32
2
2
34
2
4
4
4
0
16
16
16
8
17
17
16
16
8
8
8
8
8
8
0
16
52
52
20
20
8
8
8
0
4
4
4
4
4
4
4
8
8
8
16
16
1
0
0
0
0
0
8
8
8
16
0
32
57
57
8
1
1
16
0
0
8
9
0
4
4
4
4
0
0
12
12
12
12
12
8
1
4
8
8
8
8
0
0
16
2
2
2
0
0
8
8
1
17
8
8
0
8
0
8
28
0
0
0
5
5
16
16
16
0
0
8
28
28
8
8
8
0
4
0
8
16
16
16
36
40
0
8
1
0
0
0
0
8
16
16
8
0
0
8
0
24
8
1
12
12
8
0
3
3
3
16
0
2
2
2
4
4
8
2
2
2
2
2
2
2
2
2
2
8
8
8
0
0
0
0
16
16
16
16
16
0
24
8
4
8
4
0
0
24
16
17
16
24
16
8
24
4
56
8
8
0
0
1
4
4
4
8
4
12
8
8
0
1
8
8
8
8
1
8
0
16
0
0
8
8
0
4
8
8
8
8
3
3
16
16
8
8
16
8
8
0
4
4
0
4
2
2
8
8
4
4
4
4
16
16
8
16
16
16
16
0
8
16
16
16
0
0
4
16
16
16
16
8
8
8
8
24
8
24
0
0
2
2
2
24
24
56
24
24
16
1
19
19
8
19
19
0
16
5
5
0
8
8
8
8
8
4
4
19
2
2
2
2
8
0
0
0
24
24
24
24
16
16
0
6
6
6
16
20
16
16
48
16
17
16
0
1
1
33
0
32
32
32
32
16
16
16
16
16
16
0
0
0
8
0
8
1
1
1
1
0
4
4
4
16
16
16
8
8
8
0
8
8
8
8
8
8
8
8
8
8
8
8
8
24
8
8
8
8
8
9
0
0
0
0
0
0
4
8
8
8
0
8
8
8
8
8
8
0
0
9
2
8
8
0
2
2
1
1
18
16
16
16
16
16
16
2
2
2
8
0
9
8
8
0
0
4
2
0
24
0
24
16
16
8
0
1
0
0
16
0
8
8
34
2
34
2
8
16
0
1
8
0
0
0
0
0
0
4
8
8
8
8
8
8
8
8
25
9
8
8
8
8
0
1
9
16
16
0
0
0
8
0
16
16
8
0
0
0
4
4
1
1
1
1
8
17
0
0
1
24
8
8
8
8
8
8
16
16
2
2
34
2
4
16
16
16
16
16
16
16
8
8
2
2
8
0
8
0
0
0
0
8
0
0
0
0
24
0
8
8
4
8
8
8
18
18
18
24
24
8
8
8
8
8
2
2
2
0
36
36
16
8
4
0
0
0
0
0
8
8
8
16
24
8
16
20
16
0
16
16
8
8
8
8
48
48
16
16
16
0
0
0
0
1
8
8
8
0
33
16
16
16
20
2
4
8
0
0
28
28
8
8
38
8
4
4
0
0
16
0
0
8
8
8
16
16
18
16
16
4
8
3
2
24
24
2
2
2
16
16
8
8
36
1
38
0
2
2
24
8
0
16
17
0
0
0
0
0
8
28
8
8
8
24
8
8
24
0
8
8
8
8
8
9
16
16
16
16
8
0
8
8
8
8
8
8
8
8
0
2
2
2
16
8
8
8
0
0
0
0
0
0
0
0
0
0
16
16
16
0
40
0
1
0
0
6
2
16
16
16
16
16
1
1
33
1
1
22
16
16
8
0
0
16
16
16
8
8
8
32
8
2
16
8
24
16
0
10
0
16
16
1
16
24
8
8
8
0
0
0
0
0
16
24
17
0
16
12
12
12
24
56
56
0
0
0
20
20
16
16
16
1
1
1
1
24
8
8
16
16
16
1
1
16
16
8
0
1
1
1
2
0
1
1
1
1
8
8
8
8
8
8
24
8
8
8
8
8
16
16
8
4
4
0
0
16
8
4
2
2
2
2
2
0
8
8
16
16
16
33
33
33
33
8
16
8
0
0
24
25
25
0
0
0
0
16
16
24
8
8
8
8
4
4
16
24
0
0
8
8
8
8
8
8
8
8
0
8
8
8
8
0
4
4
16
16
0
0
0
4
4
1
1
9
9
0
0
17
16
16
5
16
24
2
2
0
16
2
2
0
0
0
16
16
16
4
4
0
18
1
1
1
0
16
16
4
4
8
49
49
16
16
8
8
16
16
0
0
1
1
1
16
16
16
16
1
0
0
0
0
16
16
16
8
8
12
8
8
8
8
8
4
1
0
8
8
8
8
0
0
0
0
0
4
4
8
8
8
16
16
16
16
0
0
0
24
24
18
2
2
2
0
8
8
8
8
0
0
8
16
0
0
0
0
0
4
8
8
16
0
0
8
8
8
8
0
4
0
32
8
8
8
0
4
0
4
4
0
1
0
0
18
18
0
28
28
2
2
8
16
8
5
5
5
0
8
24
24
8
4
4
4
8
8
8
8
0
0
32
20
16
8
8
24
24
8
8
8
0
0
0
0
1
1
1
1
1
0
0
0
0
0
8
8
0
4
4
0
0
8
8
8
8
8
8
8
0
8
8
8
24
24
1
9
8
0
4
20
20
4
4
4
16
26
26
26
26
8
24
24
16
2
4
4
20
20
20
0
8
2
2
2
8
8
8
8
8
8
8
8
8
8
1
2
2
0
0
8
8
18
8
1
1
0
8
8
8
0
16
24
8
24
8
16
16
16
16
16
0
0
0
8
8
8
8
2
0
32
48
8
16
16
4
0
2
2
0
0
0
1
8
1
1
8
8
0
8
8
9
4
4
4
4
4
8
4
8
8
0
16
0
18
18
2
0
20
20
16
16
0
8
9
9
9
0
5
5
5
16
1
17
16
8
4
44
12
5
16
16
16
4
0
16
16
4
4
4
8
8
8
8
8
8
0
24
24
0
0
8
0
0
16
16
16
16
16
0
0
0
0
16
16
16
16
8
5
8
0
32
32
32
32
34
34
34
8
8
8
8
0
0
8
8
4
4
4
1
8
8
8
8
8
8
0
16
53
8
8
8
8
8
8
8
4
4
4
0
8
8
16
16
0
0
0
17
17
17
0
0
16
24
16
16
2
2
2
16
0
0
0
0
16
16
16
16
2
2
0
0
8
8
8
8
8
32
32
24
8
8
8
10
0
8
8
1
1
16
16
0
18
2
8
8
8
0
0
18
4
22
8
8
8
8
8
16
8
8
0
0
8
0
16
8
8
9
36
36
36
36
0
50
0
0
1
1
0
8
8
8
8
0
0
4
4
4
0
16
8
8
8
2
0
28
8
24
24
20
20
16
16
0
2
2
0
0
0
0
0
8
8
8
8
0
0
0
0
0
0
8
8
8
0
16
1
1
1
1
8
8
8
0
0
0
0
8
24
16
16
8
10
0
12
8
0
0
0
0
0
24
24
24
0
6
6
6
8
8
8
8
0
0
0
1
1
1
29
0
0
8
8
8
8
0
0
0
32
32
0
0
4
16
1
0
8
8
0
0
0
0
0
0
2
0
0
7
6
0
0
0
0
0
8
16
0
8
0
0
6
6
0
16
0
16
0
0
0
0
0
0
0
8
8
8
0
0
8
16
16
16
16
4
4
16
16
16
16
8
8
0
0
0
0
0
8
8
0
0
33
33
16
16
0
4
4
0
0
0
16
4
0
0
0
0
0
0
0
16
8
0
1
16
16
0
0
8
0
0
0
0
4
4
4
0
0
0
0
0
0
0
0
4
0
3
3
4
16
0
8
4
0
0
0
0
0
8
16
0
20
20
39
1
2
2
24
18
18
1
2
2
16
16
8
8
8
16
0
0
8
8
8
16
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
8
17
17
16
16
32
0
8
1
9
9
0
0
0
0
10
10
10
8
16
16
0
0
8
8
17
0
0
8
8
8
8
8
24
4
0
0
25
1
1
24
0
4
4
4
18
1
1
0
8
8
8
0
0
0
16
16
0
0
0
8
8
0
8
16
16
0
0
1
0
0
6
6
16
0
8
24
16
0
0
0
0
0
0
8
8
16
0
0
0
0
16
16
16
16
16
8
8
8
8
8
8
8
8
8
6
2
2
0
8
8
2
2
2
0
0
0
16
16
0
18
20
4
0
0
0
0
8
8
0
0
8
8
8
8
0
8
8
8
8
8
8
8
0
4
0
0
16
16
0
4
4
4
0
0
4
4
0
8
8
8
16
8
16
0
0
0
0
0
0
0
16
4
1
1
1
16
0
8
8
0
0
29
4
8
0
0
0
1
0
1
16
16
0
0
2
2
2
2
2
0
0
0
8
0
2
0
0
0
0
0
8
8
8
8
0
0
2
2
0
0
0
10
0
0
2
33
33
16
16
0
0
0
0
0
0
0
0
0
0
12
8
8
8
8
24
4
0
4
4
4
4
0
16
0
1
0
4
4
4
16
16
0
0
0
8
8
0
0
24
20
20
0
0
0
0
16
8
8
0
0
16
4
4
13
13
1
1
1
0
0
2
2
2
0
4
1
1
0
8
0
0
0
8
0
4
0
16
0
9
9
8
1
1
0
0
0
4
0
0
0
0
0
0
0
56
56
16
10
10
8
8
8
0
8
8
4
0
0
2
8
8
1
8
20
0
24
25
24
24
24
0
0
8
8
0
0
8
0
14
0
0
0
0
0
35
16
2
2
0
1
1
1
1
0
0
0
0
0
0
0
0
0
8
0
0
8
8
0
0
0
0
0
8
8
8
9
0
0
20
20
0
8
0
0
0
0
0
0
0
1
8
20
20
16
8
0
8
8
12
12
0
0
0
0
8
2
2
2
16
0
0
0
0
0
0
0
16
28
16
8
8
8
8
0
12
12
12
34
0
0
0
4
4
16
16
0
0
5
0
0
0
0
0
0
0
0
40
0
0
2
2
0
0
0
24
0
0
0
2
2
0
0
0
16
0
0
4
4
4
4
0
16
0
8
8
11
11
11
17
1
0
0
0
0
12
8
0
16
0
0
0
16
24
0
0
16
16
0
0
0
0
32
38
0
4
4
4
4
0
0
8
0
0
8
8
8
16
0
8
8
0
0
0
17
17
4
4
16
0
0
0
0
0
2
16
16
1
8
8
16
8
4
4
0
0
8
8
8
0
0
0
0
0
0
2
6
6
0
0
1
1
0
0
0
0
0
0
0
4
4
4
1
1
0
0
0
0
0
56
6
6
24
4
0
9
0
2
0
0
0
0
0
0
8
0
2
4
17
17
25
48
0
16
0
0
0
8
8
8
0
2
4
8
0
0
0
0
16
16
16
16
8
8
8
0
0
0
8
4
4
32
32
32
0
24
0
26
26
8
16
16
4
4
4
4
8
0
0
0
0
0
16
16
16
0
0
0
0
17
6
6
6
0
16
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
33
4
4
3
20
20
0
0
0
0
16
24
8
8
16
8
8
24
0
0
0
0
0
0
0
0
0
8
8
0
0
2
0
0
33
0
0
2
0
56
0
16
16
16
16
22
16
16
16
16
16
16
1
27
16
16
16
16
16
4
4
4
0
8
8
8
24
24
24
0
16
16
0
0
2
2
2
16
16
16
16
0
0
0
0
0
2
8
8
8
4
4
0
0
8
8
8
0
8
8
16
8
16
8
8
2
4
16
24
8
4
4
1
1
1
0
0
0
0
0
8
8
0
2
2
8
0
0
0
0
0
0
0
0
0
0
20
8
4
16
16
16
0
0
0
0
0
0
0
2
16
0
0
0
0
0
0
24
0
8
0
8
8
3
8
0
8
8
8
8
8
20
20
20
2
0
0
0
0
8
0
0
0
0
8
8
8
0
0
8
16
16
16
16
0
0
0
0
0
0
0
0
0
0
0
19
2
8
8
8
0
0
16
2
2
10
0
0
0
0
16
16
1
1
1
1
8
8
16
0
0
0
24
8
0
0
48
0
0
0
0
0
0
0
0
0
8
8
8
0
1
1
8
8
8
8
0
0
8
16
16
0
0
8
8
8
16
16
16
16
0
16
16
4
0
0
0
1
1
1
4
0
4
4
16
0
0
0
0
8
16
24
8
0
2
0
0
8
1
24
44
8
8
8
16
0
16
8
0
36
0
1
1
1
8
0
0
0
0
0
0
0
8
8
8
0
0
0
0
16
16
16
0
0
0
8
8
16
0
0
0
0
0
0
8
4
8
16
16
16
16
16
8
8
8
8
32
0
1
1
1
1
0
0
0
0
0
0
0
0
0
8
8
8
23
23
0
0
0
16
16
16
0
0
4
4
4
4
4
22
0
16
16
16
0
8
16
4
0
0
8
0
0
0
0
16
0
48
0
16
16
16
16
16
16
16
16
16
16
16
4
4
8
0
0
0
0
0
0
8
4
12
8
8
0
0
0
2
2
0
16
8
8
8
8
0
2
0
16
16
8
0
0
0
16
32
16
16
16
16
0
0
0
0
0
0
0
0
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
1
1
32
0
0
0
0
17
16
16
16
8
8
8
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
0
0
12
0
0
0
0
0
0
0
16
16
16
16
16
16
16
16
24
24
8
15
8
8
0
8
16
16
16
0
8
4
4
4
0
16
0
4
4
4
0
0
0
0
0
3
3
4
0
0
2
2
4
6
8
8
8
0
0
0
1
1
0
0
1
0
0
2
0
16
16
16
0
0
0
0
2
2
2
2
0
0
0
0
8
8
8
8
8
16
16
0
0
0
0
0
0
0
0
0
8
1
0
0
0
8
8
8
0
8
9
9
5
8
8
8
0
0
0
0
8
0
12
8
8
2
2
2
0
1
1
8
0
2
2
2
0
16
0
8
8
8
1
1
9
16
0
0
16
0
0
0
0
8
8
0
20
0
16
16
4
4
4
4
4
0
0
8
44
0
0
0
0
0
0
0
4
4
24
24
8
16
16
0
0
0
2
2
0
0
16
0
0
0
0
0
0
0
0
0
4
0
0
0
16
0
1
1
1
0
0
8
8
0
0
8
8
8
0
0
0
4
32
32
32
0
0
0
0
0
0
16
16
16
8
8
4
20
4
17
8
8
23
0
8
8
8
16
16
0
0
1
8
8
8
8
0
0
18
18
0
14
14
0
0
0
0
4
4
0
0
0
0
16
0
8
0
0
0
0
0
0
0
4
4
4
10
2
49
49
49
16
16
0
8
8
0
16
0
0
13
16
16
0
0
0
0
0
0
0
0
0
0
2
4
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
16
0
0
0
8
8
8
8
0
0
0
0
8
8
8
8
8
8
8
16
32
8
8
8
8
8
8
16
4
4
0
16
8
12
0
0
0
2
0
0
0
0
0
0
16
24
24
24
0
8
8
0
16
0
0
0
8
0
0
2
4
4
6
0
0
0
16
16
16
16
4
4
4
0
6
4
4
12
0
4
16
16
0
0
0
0
0
60
8
16
1
2
2
2
16
0
0
0
2
0
12
4
2
0
28
4
1
1
16
16
0
4
4
4
4
4
16
16
0
16
16
16
0
0
16
16
16
16
0
0
0
0
0
0
11
0
8
8
8
0
0
1
8
8
16
16
16
0
0
0
0
0
0
0
2
2
0
0
0
0
0
16
16
8
16
16
0
0
0
0
24
0
8
8
8
8
57
8
8
0
16
6
6
6
16
0
16
18
0
12
0
4
4
0
0
0
0
4
4
16
0
0
0
0
48
0
8
8
8
8
8
8
9
0
1
0
0
0
0
1
1
0
8
4
10
10
8
0
0
0
8
16
0
8
0
0
16
16
16
16
16
0
0
36
0
0
4
4
4
1
1
1
0
0
0
4
4
0
0
11
0
0
0
0
0
0
0
0
0
0
0
2
1
1
0
0
0
0
4
4
4
4
0
0
0
0
0
0
24
0
1
1
24
24
0
14
4
0
0
0
4
4
0
16
0
8
8
8
8
8
1
1
0
1
12
0
0
3
8
0
22
23
16
24
2
2
2
2
2
2
2
8
8
2
24
24
0
0
16
0
0
0
0
0
8
24
24
0
0
4
4
8
0
1
0
16
0
0
0
0
0
18
0
0
0
0
0
8
8
0
4
0
0
0
0
0
0
8
8
20
8
8
0
4
4
0
0
0
0
32
4
4
4
0
16
16
16
16
8
8
24
4
16
0
4
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
6
6
2
16
16
16
24
8
24
18
0
16
16
0
0
8
0
8
8
1
0
0
1
1
1
0
0
16
16
0
16
16
0
0
0
8
4
4
4
4
0
0
8
16
0
0
0
0
0
1
8
8
8
16
16
16
16
0
1
1
1
1
0
26
26
0
0
0
0
2
0
1
6
0
16
4
4
1
1
0
0
0
0
0
0
16
16
16
8
8
0
0
0
0
2
10
1
1
1
0
0
0
0
0
0
0
0
24
0
0
0
16
12
8
8
8
0
0
0
0
4
0
0
0
20
4
0
8
8
1
0
0
0
6
6
6
0
1
0
0
0
0
8
0
0
0
4
4
0
0
8
8
4
24
16
16
16
16
16
16
16
16
16
0
24
8
16
16
0
0
12
8
8
8
27
27
16
0
0
0
0
0
0
0
0
16
16
24
24
0
0
0
0
1
8
0
0
10
0
0
1
1
0
4
4
4
0
0
0
20
2
24
4
4
0
0
0
8
8
24
24
8
8
8
2
0
2
0
17
17
1
2
2
2
8
0
0
0
16
16
16
8
22
1
1
1
1
0
0
0
4
4
16
0
4
4
4
0
0
8
6
4
4
4
0
0
0
16
16
1
8
0
8
9
8
0
0
4
4
12
8
8
1
1
0
0
10
2
8
8
0
0
0
9
4
4
4
0
0
0
8
0
8
8
0
0
0
4
4
4
4
0
2
10
8
16
8
8
8
8
8
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
20
0
8
8
0
0
0
0
16
16
1
8
0
0
0
0
0
8
8
16
0
0
16
16
0
18
48
48
0
0
0
0
0
0
0
0
0
0
0
16
8
8
0
0
8
8
8
16
16
44
44
1
1
8
8
0
16
16
8
0
0
4
0
0
0
8
8
8
0
8
8
8
32
0
4
4
4
0
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
16
0
8
16
0
0
0
20
0
0
0
0
0
8
24
8
4
4
0
0
0
16
0
0
0
0
16
16
16
0
0
0
1
17
17
17
17
17
8
8
8
8
16
0
8
16
16
16
0
0
0
0
0
0
16
2
0
0
0
0
0
4
1
1
0
0
16
8
8
0
0
0
0
8
24
24
8
0
0
16
16
8
8
0
0
0
0
0
0
0
16
16
16
0
0
0
2
2
1
40
8
8
16
16
16
16
28
0
0
0
16
16
16
0
0
0
0
2
0
0
8
8
0
0
0
0
0
0
0
2
8
8
8
8
8
0
0
2
0
0
0
0
0
0
16
16
0
0
0
0
2
2
16
20
8
8
8
8
8
3
0
16
0
8
8
8
8
16
8
0
1
0
8
8
8
8
8
4
4
4
2
16
8
8
8
8
0
16
16
0
0
0
8
0
8
8
0
1
0
0
0
0
8
8
8
0
0
0
1
1
0
0
0
0
16
4
4
4
1
8
8
8
8
16
16
16
16
1
16
4
0
16
8
0
1
8
8
0
0
2
2
2
0
0
0
4
4
16
0
0
0
0
0
0
0
16
0
0
0
0
8
0
0
0
0
0
0
12
4
4
0
16
16
16
0
16
0
8
24
8
0
23
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
27
8
8
0
8
0
0
0
0
0
0
16
4
4
4
0
0
8
0
0
0
8
9
2
0
0
0
0
4
4
12
16
0
0
0
0
16
24
8
0
8
1
9
1
1
1
1
1
1
0
0
0
1
0
0
0
0
0
4
9
8
16
0
8
8
8
0
0
0
0
0
0
0
8
2
2
2
2
0
0
16
8
28
4
0
0
8
0
6
16
16
4
18
16
4
4
0
51
51
51
0
8
8
4
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
16
16
0
1
1
1
1
8
0
8
8
8
32
0
0
8
24
8
4
0
0
0
24
0
0
0
0
0
0
0
16
0
4
4
8
8
8
8
16
0
0
0
0
0
8
8
8
8
16
1
0
0
0
0
16
8
8
24
24
24
4
24
28
2
0
16
16
8
8
17
1
2
2
2
2
2
8
8
16
16
16
16
16
16
0
16
0
0
0
0
0
0
0
0
0
4
4
0
25
0
8
0
16
16
4
4
4
8
8
8
22
4
4
1
0
0
20
0
0
16
16
16
0
16
0
2
0
0
0
8
8
8
8
8
8
0
4
4
1
1
1
0
0
0
0
0
0
0
0
0
0
0
16
2
16
16
2
20
4
0
0
24
0
0
16
0
0
0
16
16
0
0
0
0
0
19
16
0
0
0
0
16
0
0
18
2
2
0
0
0
0
0
12
12
12
12
4
12
16
16
16
8
8
12
0
2
16
0
0
0
0
0
14
1
1
16
16
16
16
16
16
0
0
1
1
0
0
0
8
8
0
0
0
0
0
0
0
4
8
0
0
0
8
0
8
8
0
2
2
1
1
0
0
0
0
16
2
8
23
0
8
16
8
8
0
8
8
0
0
0
8
0
0
16
24
24
24
16
16
8
16
16
16
0
0
0
8
0
0
8
16
0
0
16
16
16
16
0
0
16
8
8
0
0
0
0
8
8
8
17
1
8
8
19
19
0
0
0
1
1
0
8
1
0
8
8
8
0
0
0
0
2
2
1
1
16
4
0
0
0
0
2
8
6
6
0
8
1
20
8
0
42
42
42
0
0
8
8
8
8
17
17
0
0
0
24
24
12
12
6
4
4
2
10
8
0
0
32
32
32
0
0
16
16
16
4
4
8
8
8
0
0
0
8
8
12
4
4
16
16
16
0
0
0
1
1
1
0
0
0
2
2
2
2
2
0
8
8
8
8
8
8
8
2
0
0
0
0
0
0
24
16
2
0
4
4
8
8
8
8
1
0
0
24
0
0
0
0
8
0
0
0
16
8
8
8
8
8
28
28
0
0
0
8
8
0
0
0
0
0
16
0
4
4
4
8
12
0
18
16
16
16
0
0
24
8
0
0
8
8
8
8
8
8
8
8
8
0
0
0
8
8
0
4
0
24
24
16
16
8
8
8
0
0
8
1
1
4
16
0
8
16
0
8
8
16
8
8
4
0
0
0
0
0
0
0
0
0
0
0
8
8
0
18
0
16
8
16
0
0
0
0
0
0
0
8
8
8
8
8
8
12
16
16
16
16
8
8
8
0
0
0
2
0
52
4
0
0
8
8
8
5
1
1
1
0
8
0
0
0
1
4
4
4
1
1
1
48
3
3
0
0
6
6
2
0
0
8
8
0
16
8
0
1
4
4
0
4
8
8
0
0
1
0
17
1
0
16
0
0
26
0
0
0
0
8
8
8
4
16
24
24
24
8
0
16
16
0
24
0
0
0
2
2
2
2
16
8
0
0
0
6
16
0
0
0
0
0
0
0
0
0
0
24
24
24
24
8
6
6
6
6
6
6
0
0
49
49
49
16
24
16
8
0
0
4
4
4
4
4
8
0
1
1
1
0
18
0
0
0
0
8
0
16
16
16
16
0
0
0
16
16
0
0
0
0
8
8
8
0
0
8
0
0
8
8
8
0
0
4
4
4
20
20
16
24
8
8
0
0
16
0
4
4
0
0
0
0
0
1
32
32
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
8
8
2
2
1
1
2
4
4
4
4
0
0
16
8
24
8
16
0
16
0
16
16
16
8
4
16
16
16
0
0
0
0
0
0
0
8
2
0
0
16
8
0
16
16
12
0
0
0
8
2
8
9
9
0
16
16
16
0
0
4
8
0
0
13
0
0
0
8
8
2
2
1
1
1
1
0
4
0
0
8
11
8
0
18
8
8
8
0
8
0
0
8
8
8
8
8
25
0
0
0
16
0
0
0
0
0
8
8
8
24
0
0
4
0
0
0
8
8
0
0
0
8
8
8
0
0
0
8
8
8
8
24
8
8
8
8
0
0
0
16
0
0
0
0
0
0
0
0
0
24
16
16
0
0
0
8
8
0
0
4
1
0
4
4
48
48
0
0
0
0
0
0
16
0
0
1
1
8
8
8
2
4
0
12
8
9
9
9
16
8
12
20
0
0
16
4
0
0
0
20
1
1
16
16
16
16
0
4
44
12
12
12
12
4
8
8
8
0
0
0
8
2
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
8
16
16
16
1
1
1
0
16
1
1
1
1
4
4
4
32
32
32
32
0
0
0
0
0
16
16
16
0
0
0
0
0
0
0
8
8
0
0
16
0
0
0
0
8
8
0
0
32
0
0
8
0
8
8
10
10
10
10
0
8
8
0
6
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
4
8
8
8
16
16
24
16
16
16
16
2
0
0
8
16
16
16
0
0
16
8
8
18
0
0
8
8
0
0
21
1
1
0
8
8
0
0
0
0
24
1
0
0
8
0
0
13
16
16
4
0
2
4
4
0
0
0
0
2
2
2
0
0
9
9
0
2
8
0
4
0
0
8
0
0
16
8
16
0
0
8
0
8
0
0
8
8
0
0
0
16
16
0
0
18
18
18
4
16
0
0
9
9
0
0
32
0
10
8
8
8
8
24
8
24
8
8
0
0
0
8
8
25
0
0
5
16
16
16
16
16
16
32
32
16
0
8
0
1
0
0
40
40
1
8
8
8
16
0
0
0
0
0
0
0
8
0
16
16
5
1
2
2
2
2
0
0
0
0
4
4
0
2
2
0
8
37
37
0
0
2
0
0
0
0
0
16
16
0
8
8
8
8
8
8
0
0
0
0
0
0
0
4
4
8
8
8
4
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
2
2
19
18
1
1
0
0
0
48
8
8
8
8
8
8
8
8
16
16
0
8
8
0
0
0
0
8
0
0
20
20
0
4
0
8
56
8
0
8
8
4
3
24
8
0
8
16
16
0
0
0
0
0
3
3
32
32
0
0
0
16
0
0
0
0
0
0
8
8
0
0
0
0
0
0
16
0
1
0
0
0
8
8
8
16
0
16
2
0
1
1
0
1
1
2
2
0
0
16
16
0
0
0
2
0
0
8
8
1
4
4
1
1
0
0
0
0
8
8
8
0
0
0
8
8
8
8
8
0
0
24
24
24
24
24
24
16
16
0
0
0
0
0
0
0
0
8
2
22
16
16
0
0
1
8
8
8
18
18
2
16
0
4
56
0
2
9
9
24
8
8
8
8
16
8
8
8
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
24
16
0
0
4
4
0
0
0
0
0
8
16
32
0
0
0
2
16
0
0
16
2
0
1
0
8
8
8
8
0
9
8
0
0
8
0
0
8
8
8
0
0
32
0
0
8
0
5
8
8
2
0
8
8
4
4
8
4
4
4
4
4
2
32
0
0
16
0
0
0
0
0
6
24
24
0
0
0
0
1
0
8
8
0
4
0
8
8
8
0
0
8
0
16
0
0
16
0
1
2
2
2
0
8
16
0
0
0
0
0
0
4
4
4
0
0
4
0
8
0
0
0
8
2
2
2
2
0
0
8
8
8
0
0
10
10
0
16
16
0
16
16
16
0
0
0
10
2
2
2
8
8
8
16
16
1
20
20
20
20
0
0
0
0
16
16
17
1
0
0
0
0
0
0
8
8
8
8
8
8
0
0
12
24
0
0
1
1
2
8
8
8
16
16
8
16
0
0
0
16
2
4
0
0
6
2
2
2
2
16
2
2
8
0
20
16
16
0
0
16
16
0
0
0
0
16
0
1
16
0
0
8
8
1
1
1
0
0
0
0
0
0
0
4
4
0
0
16
0
16
16
0
0
0
2
0
8
4
28
4
8
8
0
0
0
8
4
4
4
0
8
2
2
0
0
0
8
8
8
8
4
4
4
4
0
8
0
0
0
0
0
16
16
16
0
0
8
0
0
8
8
0
0
8
0
8
24
8
8
0
16
0
4
4
0
0
46
16
0
0
0
8
16
16
0
8
12
4
29
0
0
24
24
2
2
0
0
0
0
0
0
0
0
8
8
16
16
16
8
9
9
0
0
0
8
0
0
0
0
0
40
32
32
1
2
18
16
4
8
8
8
0
2
2
16
4
4
4
16
16
0
0
0
0
8
8
2
24
16
2
16
16
16
8
0
0
18
0
0
0
8
8
0
0
8
8
24
16
0
16
16
16
4
4
8
0
0
0
0
0
8
8
16
16
0
0
0
0
32
12
0
0
0
0
0
0
0
0
0
0
0
4
4
6
0
0
16
16
0
16
0
16
16
8
0
0
8
0
0
0
0
0
0
0
4
4
4
0
0
0
8
0
0
28
28
28
4
4
0
0
0
4
4
4
4
4
25
25
25
25
0
0
8
0
0
0
6
2
0
0
0
0
8
8
8
0
4
0
1
17
17
0
0
16
0
0
0
0
40
32
0
4
4
0
0
0
0
0
8
8
8
0
0
4
4
4
16
0
0
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
16
0
16
4
0
0
16
2
8
24
8
8
0
0
0
4
8
0
0
0
0
8
8
8
0
0
0
0
24
0
0
0
16
16
16
0
0
0
0
8
8
8
0
2
4
4
16
2
8
8
8
8
16
0
0
4
4
0
0
0
0
8
8
0
0
0
8
0
0
0
0
4
4
0
0
0
8
8
8
0
0
0
0
8
8
8
8
0
8
0
16
8
8
20
0
2
0
8
8
0
0
0
0
0
0
0
0
4
12
12
16
0
0
8
8
8
8
0
0
0
0
0
0
8
8
8
8
2
2
2
16
16
17
0
0
0
8
8
8
8
8
8
1
1
0
8
0
0
0
4
4
20
20
20
24
24
8
24
0
0
2
0
0
0
0
8
8
17
0
2
2
0
16
16
0
0
0
0
0
24
17
0
0
2
2
0
0
0
0
0
8
0
0
6
4
0
0
12
12
0
0
0
0
0
0
2
4
8
0
0
16
16
1
1
1
1
0
0
0
2
8
8
0
0
16
16
4
0
0
0
16
0
16
8
8
8
0
0
0
1
16
8
16
8
0
24
0
0
0
0
8
9
0
0
12
12
12
36
1
12
12
12
12
8
0
0
0
0
0
16
0
20
0
8
8
22
0
8
8
0
0
1
8
0
8
8
0
16
30
16
0
2
8
8
0
8
16
8
0
0
16
16
8
8
8
8
16
16
4
4
6
32
32
32
0
0
0
0
16
16
16
16
2
0
0
0
22
22
22
22
0
29
29
29
29
29
29
29
29
29
0
16
16
20
0
8
0
0
0
0
0
8
0
8
8
8
8
4
4
0
8
0
8
8
8
8
32
16
12
0
29
29
29
29
2
24
24
1
2
2
2
2
4
4
8
8
8
8
0
0
0
0
0
8
8
0
4
4
0
0
0
0
2
2
0
4
4
8
8
8
0
8
8
8
8
0
0
0
0
16
4
8
0
0
4
4
4
0
0
0
0
16
16
16
8
16
16
0
8
8
8
8
0
0
8
0
2
8
0
0
16
16
0
0
0
0
6
8
8
0
0
24
24
16
16
9
1
16
8
8
8
8
8
8
0
0
0
0
1
1
1
0
16
12
8
8
8
1
1
16
16
16
16
0
8
0
0
0
0
0
0
4
0
0
0
4
4
4
0
16
16
0
16
20
16
16
4
4
0
0
0
0
16
16
8
0
0
24
1
1
0
16
0
0
0
16
0
16
16
2
4
0
0
4
4
1
1
16
16
16
8
0
0
0
0
0
0
0
0
17
0
0
1
1
0
0
58
24
24
8
8
8
4
4
0
16
4
0
0
2
0
0
16
2
8
0
0
0
2
2
0
8
2
8
8
44
16
16
0
8
8
8
0
4
0
0
40
0
1
1
1
0
0
0
4
16
0
0
0
0
0
8
8
0
0
16
8
0
0
0
0
16
16
16
2
0
0
16
16
8
8
0
8
8
24
24
0
4
4
4
2
0
8
8
1
0
0
0
0
20
16
16
0
0
0
8
8
0
16
16
0
0
25
8
8
0
6
6
16
16
16
8
8
8
4
0
12
4
4
12
0
4
4
16
8
8
8
4
0
0
18
18
0
24
24
24
24
4
4
4
0
44
0
16
16
4
4
4
8
0
1
1
0
0
0
1
8
9
0
40
40
40
40
40
40
0
8
4
16
16
16
0
0
0
2
2
8
8
8
8
0
0
0
0
0
0
0
41
8
9
8
8
8
8
0
16
30
30
30
0
0
8
4
0
0
0
0
0
0
0
0
0
0
16
8
8
10
1
0
5
5
0
0
0
8
0
0
8
4
12
4
0
0
8
0
0
20
0
0
0
0
0
0
0
0
0
8
8
0
0
8
0
16
0
32
0
0
0
8
16
8
2
16
16
8
8
8
0
0
9
2
0
0
0
0
32
2
2
22
4
4
4
4
4
4
20
20
0
0
0
0
0
8
8
8
8
8
0
1
0
0
0
0
0
0
8
8
8
8
8
8
0
0
8
0
0
2
0
8
4
4
4
0
8
8
8
8
16
4
16
16
16
16
16
16
16
16
8
8
8
8
8
0
0
0
0
2
0
0
0
0
0
1
1
4
8
4
8
8
8
8
8
0
16
8
1
0
0
1
0
8
8
2
0
8
34
34
24
0
1
0
8
0
0
0
0
8
32
32
32
32
8
5
5
5
6
0
0
0
16
0
0
0
8
8
8
0
8
0
0
8
8
8
8
8
16
0
16
16
0
0
16
16
1
1
2
2
0
4
16
18
0
0
16
0
16
0
0
0
0
4
4
4
0
0
9
13
13
0
0
4
0
0
0
0
25
25
25
25
25
36
0
0
4
16
8
16
16
16
0
0
1
4
4
4
16
0
0
16
16
0
0
0
9
0
0
0
8
8
8
4
8
16
16
8
8
0
4
8
16
16
0
0
0
0
8
0
0
0
0
0
0
16
16
16
16
0
2
16
0
16
4
0
1
26
16
0
16
16
8
16
0
2
53
1
1
1
1
1
17
17
0
0
0
0
0
0
8
0
0
0
0
8
0
0
0
0
3
8
16
16
0
0
2
9
8
16
0
0
12
8
1
0
0
0
0
0
4
4
4
0
0
10
10
16
0
20
16
16
16
2
2
2
0
0
0
0
40
40
0
1
1
5
0
0
0
0
0
0
8
8
8
0
2
2
0
17
17
17
0
0
0
0
0
20
0
0
0
24
24
24
0
32
2
0
0
1
8
8
24
24
24
16
0
0
0
16
16
16
16
16
0
0
4
16
16
20
0
8
0
0
0
0
8
8
8
8
8
8
8
8
0
24
3
16
0
0
18
2
0
0
0
0
8
8
0
0
2
0
0
0
16
16
0
8
8
8
8
8
16
4
0
0
33
0
16
2
0
28
28
28
4
16
0
16
16
16
16
16
0
0
0
0
0
8
8
8
8
8
8
8
8
4
0
0
0
0
0
8
0
8
8
14
2
0
24
24
16
16
0
0
0
0
8
0
0
8
4
0
24
24
24
24
1
0
0
0
2
2
0
0
0
16
8
16
16
12
0
0
16
0
8
0
48
0
0
4
4
8
8
18
16
24
16
0
8
8
1
1
4
0
1
4
4
16
0
8
0
0
0
0
0
0
0
16
16
0
12
12
8
0
16
0
0
16
0
1
1
1
16
1
0
8
32
0
4
4
4
4
32
0
0
4
0
8
0
0
8
8
8
0
0
8
8
0
21
0
4
4
0
0
0
1
0
0
2
2
1
0
24
24
24
1
1
0
0
0
0
0
0
0
0
0
0
4
32
32
52
32
0
0
8
8
0
0
0
0
0
0
1
0
32
0
0
0
8
8
12
0
8
0
24
0
0
0
0
8
8
4
8
0
32
2
2
2
8
8
0
0
0
0
0
8
16
16
0
0
8
8
8
16
16
32
48
48
0
0
0
0
2
2
2
0
4
0
4
32
0
0
4
4
8
10
8
8
8
0
0
0
16
16
0
0
0
0
0
24
24
0
0
0
0
8
8
8
0
16
0
0
0
0
0
0
32
32
8
8
0
0
24
24
16
1
1
1
4
4
4
0
0
0
0
16
4
4
4
4
0
0
4
0
0
8
8
8
8
8
16
16
16
16
16
0
32
0
0
8
8
12
8
0
0
8
8
12
32
16
0
24
24
0
8
8
8
8
8
8
0
0
0
16
16
16
8
0
0
0
16
0
16
8
8
8
8
1
4
6
2
16
0
16
58
16
16
16
8
8
0
21
24
8
0
0
0
0
0
0
4
32
32
0
0
8
8
8
32
0
18
18
18
0
8
8
2
2
2
2
2
0
8
8
8
8
8
8
8
8
8
0
0
0
0
0
0
0
3
0
0
9
8
8
8
16
0
2
0
0
0
8
0
0
9
9
9
2
0
8
24
0
8
16
4
16
0
0
0
16
16
4
1
0
0
8
8
8
8
16
0
8
0
0
0
0
0
56
8
8
0
0
0
0
0
0
8
8
8
0
8
0
0
4
0
0
8
0
0
0
0
0
16
16
16
8
16
16
16
16
8
0
4
2
4
0
2
1
8
8
0
0
0
4
4
4
8
16
20
16
0
24
8
0
8
8
8
16
0
0
8
0
0
0
0
0
20
16
0
16
16
0
8
0
0
28
56
0
8
36
4
16
16
16
0
0
1
0
0
2
0
0
0
0
0
0
4
1
1
1
9
0
0
8
21
0
16
0
4
8
0
0
0
0
8
8
0
0
8
8
2
2
0
0
40
8
8
8
8
8
8
8
8
8
8
0
16
0
16
20
0
0
0
8
8
0
0
16
17
1
8
8
16
4
4
4
4
8
4
0
40
40
6
1
1
0
0
0
8
24
8
8
8
8
8
16
0
0
4
4
0
8
8
0
8
0
25
0
0
8
8
8
8
4
16
16
0
0
4
0
0
0
2
0
16
16
0
0
0
4
4
4
10
0
8
0
0
16
16
16
12
5
0
16
16
16
1
1
1
1
8
8
16
16
16
10
0
1
8
8
0
0
8
8
8
8
8
32
8
8
0
0
16
8
1
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
0
0
0
0
16
12
8
8
0
0
0
0
0
8
0
24
8
8
8
8
8
8
8
16
16
0
16
0
0
4
0
8
16
0
0
0
12
12
12
12
0
0
0
0
8
8
29
0
17
16
16
0
0
3
1
4
8
24
8
8
8
8
8
2
24
24
28
28
0
0
0
0
4
8
16
16
16
16
16
16
32
32
32
16
24
8
0
2
8
0
0
0
0
0
0
48
48
8
8
16
8
10
10
8
8
0
9
8
0
0
0
8
32
1
24
24
24
8
0
24
24
18
0
0
0
0
24
24
8
0
17
2
8
0
2
24
1
1
8
10
8
36
16
16
0
1
16
0
8
8
8
8
8
8
0
0
16
16
24
0
16
16
16
0
0
16
9
12
2
24
24
24
0
8
10
10
0
4
0
8
8
8
1
0
16
16
16
0
16
25
18
18
18
0
0
4
4
4
4
4
4
0
0
8
18
18
0
0
0
16
16
16
2
16
16
0
0
8
0
9
4
4
4
0
16
48
0
8
0
17
17
1
0
8
0
8
8
8
4
4
0
0
16
8
8
8
0
1
0
0
0
0
25
25
0
0
0
4
0
8
8
0
0
0
8
16
16
16
16
16
0
16
16
8
8
6
4
4
4
0
0
0
16
1
4
4
4
0
8
0
8
21
0
8
4
8
8
16
0
8
8
12
4
8
19
2
7
8
8
8
16
8
8
8
16
4
4
0
8
32
32
32
8
8
8
0
0
4
0
0
0
0
8
24
8
0
0
0
2
8
4
4
4
5
24
24
0
8
8
8
0
0
8
8
8
8
2
8
8
8
0
0
4
4
4
0
8
2
2
2
2
8
8
8
0
0
0
18
18
18
2
2
0
0
0
0
0
0
16
0
0
1
0
0
0
4
4
0
0
12
4
4
4
4
4
0
25
16
4
4
8
16
16
16
0
8
8
0
0
2
2
8
0
0
0
0
16
16
1
1
1
1
24
8
8
4
4
4
4
4
4
4
4
0
0
8
0
8
8
8
0
16
16
0
22
22
1
17
0
0
0
0
0
0
13
32
32
16
8
2
2
16
16
16
18
8
6
6
4
20
2
0
0
0
0
0
0
0
8
0
0
0
16
0
0
16
17
8
40
0
0
0
8
0
16
16
16
16
16
16
8
0
4
0
0
8
20
20
0
0
0
0
0
1
12
0
0
0
16
16
8
8
16
17
60
4
8
24
12
28
12
0
8
8
0
0
8
1
0
0
0
0
13
16
0
0
0
8
0
0
0
0
2
2
2
8
8
1
1
1
1
16
16
0
8
0
16
16
16
16
0
0
16
8
24
16
8
22
22
22
22
22
8
1
16
16
16
0
0
32
32
32
0
0
0
0
0
0
0
16
16
16
16
0
16
16
16
16
16
0
0
1
4
4
4
4
8
8
8
8
8
16
2
1
0
0
2
6
4
0
0
8
8
8
0
0
0
32
8
8
0
0
0
8
21
0
0
2
2
0
8
1
4
4
8
8
8
8
8
8
1
12
20
20
16
16
16
0
0
1
8
8
1
8
8
0
16
0
8
8
8
32
8
8
8
8
8
8
8
18
18
8
0
1
8
28
11
0
0
32
32
33
0
0
0
12
4
8
8
8
8
0
8
8
8
16
8
0
0
0
0
0
0
0
8
8
8
16
16
1
1
0
16
16
4
4
4
8
32
4
20
4
1
1
0
0
0
0
8
8
8
0
4
20
20
20
20
0
0
0
0
0
4
4
16
16
16
0
0
8
16
16
8
0
8
16
16
4
4
4
0
32
32
32
0
0
0
0
8
1
0
0
0
16
8
2
0
4
4
0
0
0
0
1
1
16
0
0
0
0
0
0
8
8
8
8
16
16
26
0
0
9
9
1
0
0
0
4
4
12
0
0
0
0
16
24
16
16
24
24
0
16
0
0
0
0
16
16
12
8
0
0
0
0
16
16
8
8
0
18
18
0
0
0
8
8
8
8
8
8
8
8
8
1
0
0
16
16
16
0
0
0
0
0
8
8
6
6
6
0
16
8
8
0
8
4
16
16
0
2
2
2
2
8
16
18
18
18
18
18
25
16
0
1
0
19
0
2
6
2
4
4
0
0
4
16
2
0
8
2
8
8
8
0
0
0
4
4
4
4
0
4
8
24
8
0
16
16
2
8
8
16
16
8
8
4
4
0
1
1
4
4
16
16
8
8
0
0
0
30
14
8
8
8
0
8
8
8
8
8
8
16
16
16
0
16
0
41
57
16
4
2
4
4
4
4
0
16
16
24
16
4
4
4
8
8
4
8
2
4
0
49
57
49
16
16
0
0
0
8
8
8
8
0
24
16
16
16
8
8
0
0
4
0
6
16
16
8
0
8
16
16
24
0
16
0
8
24
0
0
16
0
8
16
32
32
32
0
24
8
8
8
8
0
16
0
0
0
0
0
0
8
8
0
12
0
8
0
0
18
0
8
0
0
0
8
16
4
4
4
0
0
0
8
8
8
12
4
4
4
4
0
8
0
0
0
0
0
8
8
8
8
8
0
8
0
0
1
1
16
16
0
1
1
0
0
8
8
34
34
34
0
0
20
20
8
8
16
16
16
8
18
4
4
0
0
0
0
0
0
16
4
4
4
4
0
2
0
0
0
8
8
8
32
1
12
12
4
49
49
4
0
16
16
4
4
24
12
5
16
16
0
0
8
8
8
0
0
20
20
0
8
8
8
0
0
8
0
32
4
4
4
4
24
24
24
0
0
0
0
0
16
8
16
8
16
2
0
0
0
0
0
0
16
8
2
2
0
8
8
8
0
16
16
0
0
24
24
24
8
40
4
0
8
8
0
1
0
0
4
16
18
40
40
20
6
6
4
4
8
12
8
8
8
16
0
0
0
16
25
8
8
8
16
8
0
4
0
4
4
4
4
4
4
4
28
13
13
4
0
0
0
0
0
8
8
17
17
0
0
0
0
0
0
17
17
0
8
8
8
8
16
16
18
18
18
0
16
0
0
0
0
8
8
0
8
7
16
0
17
16
1
0
0
0
8
4
16
1
8
8
0
0
0
0
2
16
0
16
16
1
8
8
8
0
0
24
24
0
0
1
1
16
16
16
0
0
0
0
0
8
8
8
0
0
16
0
2
0
16
0
16
0
0
0
5
5
2
2
1
16
0
8
0
0
28
8
0
4
4
4
16
18
8
8
0
1
1
0
8
8
1
1
16
0
8
8
0
0
16
16
0
40
40
2
0
0
1
24
2
2
2
8
8
8
16
2
0
0
0
0
4
24
24
24
24
8
8
24
0
16
1
0
8
24
0
0
63
63
0
4
4
0
9
9
32
0
4
4
4
4
4
16
16
4
4
4
0
0
12
28
0
20
0
8
0
0
0
0
0
0
0
4
4
16
16
8
8
0
8
8
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
4
16
16
0
8
8
8
8
8
0
2
2
0
0
0
0
0
8
8
4
4
4
4
7
7
7
7
2
2
2
5
16
0
16
0
8
8
8
8
8
16
24
24
0
8
8
32
32
0
0
0
4
0
35
35
8
8
0
4
0
0
8
4
4
4
20
0
0
4
16
2
2
1
0
16
16
16
8
0
4
4
2
2
2
2
2
1
1
0
0
0
0
0
4
8
8
8
0
8
8
32
32
32
4
8
2
2
8
0
1
0
0
0
4
4
16
18
16
16
0
0
17
0
4
8
8
8
8
8
8
8
18
18
4
4
16
16
8
4
16
16
0
4
32
8
8
0
0
0
12
4
4
0
16
0
4
4
8
8
8
1
1
1
1
0
0
0
8
8
8
8
8
8
6
0
8
0
0
16
16
0
0
24
0
0
0
0
12
12
16
16
16
0
0
16
16
16
16
16
17
8
8
16
0
4
32
32
16
16
8
8
0
0
0
16
0
0
0
3
3
8
8
8
1
1
1
8
8
1
8
8
16
0
0
0
0
0
0
16
0
0
16
0
8
8
8
0
0
0
8
16
11
3
16
16
16
8
8
8
0
0
8
8
8
0
4
24
24
3
8
8
8
8
8
0
0
2
2
2
0
8
16
4
4
0
16
16
16
16
16
16
4
4
8
4
0
0
0
0
0
0
8
8
8
16
0
0
6
6
2
2
2
2
2
2
1
0
0
0
4
0
8
0
10
10
16
0
0
16
40
2
2
0
0
9
1
1
1
0
0
8
8
0
0
8
0
0
24
8
8
0
0
20
16
8
8
0
8
0
0
16
16
16
0
0
0
0
21
0
0
0
40
8
0
0
0
4
4
4
4
16
0
8
8
1
1
2
8
0
4
16
16
16
0
4
8
8
8
0
0
0
20
16
0
0
0
4
4
32
32
32
24
24
24
2
16
0
9
9
8
16
28
4
4
8
0
0
0
0
24
24
13
0
20
1
1
12
16
16
4
4
8
8
0
16
16
16
1
16
16
2
4
30
8
0
0
0
0
8
28
8
8
8
0
16
16
16
16
16
16
4
4
0
16
0
4
1
16
8
8
8
4
24
24
0
0
8
0
4
0
16
8
8
1
16
24
0
8
8
8
8
8
24
24
24
4
18
18
4
24
24
16
12
4
4
16
10
18
0
0
1
1
8
8
0
16
8
8
2
0
0
0
0
16
16
1
24
0
0
2
0
0
0
0
16
16
1
1
1
1
1
1
28
1
8
8
8
0
0
0
8
0
0
0
0
2
2
0
6
2
48
48
48
48
0
2
2
0
0
0
0
16
16
16
16
16
16
6
6
6
4
16
16
16
0
8
8
24
8
8
22
4
8
8
8
8
8
0
0
0
0
16
28
8
8
0
4
4
4
18
0
0
2
2
2
2
0
0
8
8
18
0
0
0
16
16
16
16
24
0
8
8
8
8
8
28
4
4
0
2
0
16
2
16
4
12
17
16
24
0
0
0
0
0
0
2
2
0
0
8
8
8
8
8
16
16
16
16
16
0
8
8
0
8
8
0
8
8
0
16
16
8
28
4
4
33
50
0
8
0
0
0
16
16
16
0
16
16
2
2
4
25
9
0
8
8
24
8
0
0
24
0
12
16
33
0
16
0
8
16
8
16
16
0
8
8
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
4
4
0
0
0
0
16
16
0
0
0
0
0
0
2
8
16
16
0
0
0
0
4
4
6
0
0
0
0
16
16
16
16
16
4
4
20
8
8
8
8
0
0
0
0
0
0
0
0
8
18
0
0
0
20
0
0
0
8
8
8
0
8
0
8
8
16
2
0
0
8
1
1
1
0
0
0
2
2
2
2
4
4
4
4
0
16
16
0
8
8
8
0
9
9
8
8
1
1
8
8
1
0
0
4
8
16
24
24
16
16
8
8
8
8
9
16
16
16
1
8
8
8
2
8
20
8
8
8
16
16
0
16
0
4
20
0
18
4
32
32
0
8
8
8
12
12
0
16
8
24
0
1
1
4
8
8
16
52
0
0
17
17
33
32
8
8
8
8
8
24
16
2
0
24
0
1
0
22
0
0
0
0
0
0
0
0
0
0
8
8
1
8
0
8
4
0
0
0
0
8
8
8
0
0
0
17
0
4
4
0
0
24
8
8
8
8
8
8
0
4
0
8
8
8
0
0
0
0
1
0
8
4
4
20
0
0
0
0
0
0
0
24
16
16
0
8
8
0
0
2
16
2
0
0
4
4
4
4
2
2
16
16
0
0
16
2
0
20
4
4
4
4
20
20
0
0
0
0
0
16
0
3
16
16
16
0
0
0
9
9
0
0
16
0
0
0
0
0
0
4
4
1
0
0
18
0
0
24
24
8
8
8
8
8
0
1
1
2
0
18
16
16
8
8
1
57
0
4
16
0
8
8
28
28
0
2
0
0
0
0
0
57
4
16
4
0
0
0
16
16
0
0
0
0
16
4
8
8
24
0
0
25
8
16
8
8
4
0
0
0
0
8
18
2
2
2
16
16
16
16
16
16
0
0
0
0
8
16
16
0
0
8
0
8
0
20
20
20
0
0
16
16
16
16
8
8
4
8
10
10
0
0
4
0
8
32
2
16
8
24
16
16
0
16
0
0
0
0
2
2
2
0
16
24
16
0
8
8
0
0
0
0
16
20
2
2
8
8
16
0
0
0
0
0
16
16
24
24
2
3
4
41
0
4
4
4
16
16
0
16
16
0
8
0
0
0
20
12
16
0
0
0
0
0
8
0
16
0
2
24
0
0
0
0
16
16
16
0
0
0
0
0
1
1
1
1
0
0
0
0
16
16
24
0
0
4
0
16
8
8
0
0
0
8
8
0
2
2
0
0
0
0
0
4
0
0
20
16
6
12
8
12
4
4
4
0
0
8
8
8
8
8
8
8
18
18
1
2
16
0
2
2
16
8
8
8
16
16
0
4
8
8
16
0
0
0
8
0
0
0
0
4
0
0
16
8
0
8
0
2
0
0
8
8
0
0
0
8
8
5
5
0
0
16
1
8
0
0
12
12
8
8
16
8
16
9
0
0
0
0
2
16
2
2
2
0
0
0
0
0
0
8
0
0
4
0
0
1
1
1
8
0
8
16
0
16
0
8
8
16
0
0
24
24
24
18
0
0
8
8
16
0
0
0
4
4
16
16
8
8
16
16
0
0
6
6
6
0
0
0
8
8
0
0
0
0
18
0
4
0
0
16
16
16
16
16
0
0
0
0
16
16
16
16
16
8
8
8
16
16
0
0
4
4
0
0
0
0
0
16
0
0
2
2
24
8
8
0
0
16
0
0
0
0
8
0
0
0
1
1
4
4
8
8
0
0
0
0
0
0
0
8
8
8
0
0
20
20
8
8
8
8
16
16
16
0
0
20
0
8
8
20
8
17
17
0
0
0
0
8
8
12
4
20
4
4
16
4
16
16
8
2
9
13
0
0
8
0
48
0
16
26
26
26
0
0
1
1
0
16
16
0
8
24
24
24
16
16
8
8
8
0
8
0
4
0
0
0
0
17
16
2
8
0
0
8
0
0
0
0
16
0
8
8
8
0
9
1
3
1
8
8
0
0
0
1
0
1
5
4
8
8
8
8
8
8
0
4
4
8
4
8
8
8
2
2
2
16
4
0
4
4
4
8
8
8
8
8
8
4
4
16
20
8
8
8
8
0
0
32
32
8
8
8
0
0
0
0
16
0
0
0
8
8
8
8
2
8
8
0
8
0
0
0
27
8
2
4
4
4
0
16
3
3
0
0
4
0
0
4
4
0
4
8
8
8
0
0
0
0
0
50
0
0
16
16
12
12
12
19
1
16
1
9
0
0
0
0
0
0
16
16
1
1
1
0
24
8
24
16
0
0
0
19
1
8
8
8
0
8
8
0
0
48
8
28
8
8
0
0
16
16
0
0
6
6
0
40
0
16
0
16
8
8
16
24
16
16
29
29
29
8
8
24
8
8
0
0
0
0
0
8
0
0
16
16
16
16
2
4
4
1
17
0
24
24
8
0
0
1
3
16
16
0
0
0
8
8
8
0
6
6
8
8
8
8
2
2
8
0
16
8
0
9
0
0
8
8
8
8
0
0
8
16
16
9
8
8
8
4
4
4
0
1
0
1
16
16
16
8
0
16
16
8
8
0
0
0
16
0
0
0
0
16
16
8
8
8
8
4
4
0
12
0
0
12
8
8
8
8
0
0
8
0
0
0
0
0
16
0
16
8
0
0
0
16
16
16
16
0
0
0
8
0
0
0
0
0
8
8
0
2
2
2
8
6
20
20
8
8
8
16
16
16
0
8
28
28
28
8
8
8
2
0
0
16
0
0
0
0
4
8
8
8
8
4
4
4
4
4
0
0
0
8
8
0
0
0
24
16
0
0
16
0
19
12
30
0
1
1
1
2
8
8
8
8
0
0
0
18
0
0
16
16
0
4
4
0
0
2
24
0
0
0
0
0
0
0
0
0
0
16
0
8
0
4
0
0
8
4
4
0
4
8
16
16
0
0
0
0
8
8
8
0
0
0
4
0
0
0
1
0
4
4
0
0
0
0
6
2
22
22
2
0
8
0
16
4
16
16
0
0
0
0
4
4
16
6
0
0
4
34
0
0
8
8
8
8
0
0
0
1
1
0
0
0
8
3
24
24
24
0
24
24
8
0
0
0
0
0
0
0
2
2
2
1
2
0
3
0
0
1
0
0
0
8
0
0
0
0
0
0
19
16
16
20
0
0
0
0
4
8
0
0
8
8
16
16
0
8
2
0
0
0
0
4
0
0
8
8
0
0
16
8
16
5
16
8
8
0
8
8
8
4
0
0
10
16
16
0
0
8
8
8
8
1
8
8
8
0
8
2
30
0
0
8
8
8
4
4
0
4
4
4
2
0
0
16
16
4
4
4
4
8
8
8
0
8
8
8
16
16
16
1
0
0
0
0
16
16
4
18
16
16
16
0
20
24
16
16
16
25
24
24
16
16
17
0
0
0
21
21
21
1
1
16
16
16
8
8
8
8
8
20
4
4
2
2
8
0
0
0
0
16
5
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
16
16
16
0
1
1
1
1
1
1
1
1
16
16
0
0
0
0
16
16
16
0
0
0
16
16
16
16
56
0
4
4
0
1
0
0
0
0
0
8
8
0
0
17
16
16
0
0
0
16
2
0
0
4
0
8
0
16
0
0
4
4
4
6
6
6
8
8
8
1
17
0
18
2
2
0
1
20
16
16
16
16
16
0
16
0
0
0
0
2
2
0
12
0
0
4
4
0
0
4
4
2
0
0
0
0
0
0
0
0
8
8
8
8
4
8
1
32
0
0
8
8
8
16
0
4
4
0
8
8
0
0
0
22
22
22
8
0
0
8
8
8
0
4
0
0
0
0
4
0
0
4
4
4
4
0
1
1
1
1
16
17
1
1
0
0
2
2
20
0
0
8
8
0
4
0
7
4
7
7
8
16
8
8
0
8
8
16
2
4
24
24
24
24
8
8
2
8
8
8
16
8
8
17
0
2
4
4
4
0
0
0
16
0
0
0
8
8
0
8
32
32
32
0
12
16
20
20
20
16
0
0
9
0
4
4
16
0
0
0
0
0
0
0
0
16
8
8
0
1
0
2
2
1
1
1
1
8
16
0
8
8
0
0
0
8
4
8
28
0
8
8
8
0
8
8
16
0
0
0
8
8
8
8
0
0
2
2
8
28
16
0
8
8
0
0
8
8
6
8
8
8
8
8
16
16
4
4
4
4
8
8
8
0
9
1
16
0
16
8
8
0
0
0
8
8
8
8
8
8
8
8
8
8
18
16
16
0
6
2
0
16
4
4
16
0
0
0
0
0
0
1
0
8
16
8
0
1
1
1
1
1
0
0
1
1
0
16
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
8
16
2
2
0
0
0
0
0
8
8
8
8
1
1
0
0
24
0
0
0
0
8
8
8
8
8
8
8
8
0
0
16
16
5
8
8
4
4
4
8
18
16
16
2
2
8
8
0
8
8
8
0
0
8
8
0
8
20
20
0
16
16
16
16
16
4
16
8
0
0
8
0
0
8
8
8
16
4
4
0
0
0
16
16
16
9
16
16
16
16
8
8
8
8
1
2
1
13
8
16
0
8
8
8
0
0
8
18
0
0
0
0
0
0
0
0
0
8
8
40
32
32
8
0
0
0
8
2
2
12
12
0
2
22
2
2
0
0
1
1
4
9
16
25
18
16
16
0
0
0
8
8
8
8
16
16
16
16
16
8
8
8
8
0
1
1
0
24
0
0
0
1
25
25
8
0
0
0
0
0
0
0
0
0
0
0
16
16
8
0
0
32
32
8
8
0
0
0
1
1
1
1
1
8
0
0
32
0
4
2
2
22
2
24
8
8
8
28
1
24
16
16
16
4
4
8
8
0
16
16
16
4
1
1
1
8
0
0
0
8
8
8
8
8
20
4
4
16
0
0
0
0
0
0
0
8
0
25
25
2
2
32
8
8
8
8
8
0
0
35
35
4
16
8
1
8
8
20
16
4
0
0
0
1
8
4
4
4
8
8
2
0
8
8
8
28
8
8
8
0
0
0
4
16
0
1
1
0
0
0
8
0
0
17
0
0
8
8
8
8
4
16
16
16
8
8
8
8
8
4
0
0
0
0
0
8
8
16
16
16
0
4
4
4
4
16
16
16
0
8
16
16
16
0
0
0
0
0
0
8
16
16
16
10
0
0
0
0
8
8
8
1
1
32
20
0
5
23
0
16
16
4
8
4
4
4
16
4
4
18
0
1
0
0
0
0
8
0
0
4
4
12
4
4
48
0
0
5
0
0
16
16
0
0
0
16
24
24
24
0
0
0
0
0
1
0
0
32
55
0
0
16
16
16
8
0
0
4
1
1
4
0
8
8
8
8
32
0
8
1
1
18
18
0
0
0
0
0
0
0
0
16
0
0
0
0
0
1
1
8
8
8
8
8
0
0
0
17
17
17
8
8
0
4
4
4
4
0
1
1
4
4
1
1
0
18
16
0
0
0
0
0
8
8
16
16
16
16
24
0
16
16
16
0
0
16
16
16
16
16
0
20
16
16
16
1
8
0
8
8
8
1
0
0
2
2
1
8
0
1
0
8
8
1
1
0
4
0
26
8
0
0
0
0
2
16
16
8
1
1
0
3
10
0
8
8
8
24
8
16
0
0
0
0
4
1
1
0
8
8
0
4
16
16
0
0
16
16
8
8
0
16
16
0
0
0
8
0
16
16
8
16
16
16
6
0
16
16
8
16
16
12
4
4
4
4
4
4
8
8
0
20
20
20
20
2
0
0
0
8
8
8
8
8
4
12
12
0
0
0
0
20
20
20
20
0
8
8
8
1
2
1
1
8
8
24
24
8
8
16
16
16
0
4
4
4
4
0
0
0
0
8
0
1
0
0
8
8
8
8
8
8
30
30
0
0
32
32
32
0
0
0
0
0
16
16
0
0
4
8
0
8
8
8
8
8
8
8
0
8
8
2
18
2
8
21
21
1
1
1
1
9
8
8
1
1
8
8
0
16
16
8
0
16
16
16
16
8
8
32
32
32
0
0
24
24
24
24
24
24
24
0
17
17
0
0
0
8
0
0
16
16
16
18
18
18
16
24
8
8
8
4
4
0
4
16
0
0
33
33
33
33
33
8
8
1
38
38
0
4
18
16
0
16
16
0
0
0
8
0
0
8
24
24
10
10
10
0
0
8
8
8
8
8
8
0
0
0
0
1
0
0
0
0
1
1
18
16
1
0
16
16
1
1
1
32
32
32
32
8
24
4
8
0
0
0
0
0
0
8
8
8
8
8
8
2
18
0
16
8
8
8
0
0
0
0
8
4
4
4
8
8
8
0
0
16
16
2
0
4
8
8
24
2
0
0
5
4
4
4
0
0
0
6
6
2
24
24
0
8
0
8
24
16
16
1
0
16
8
8
8
0
8
0
8
16
16
0
16
16
0
4
4
2
24
0
0
16
1
4
0
0
0
4
8
16
20
16
16
0
11
11
8
16
16
0
8
16
16
16
0
0
39
8
8
8
8
8
0
20
0
4
4
8
16
16
0
0
0
0
8
8
8
0
8
0
8
8
0
16
16
16
16
16
16
16
16
0
2
2
16
0
0
0
0
0
24
0
17
17
0
0
4
4
16
18
16
16
8
4
20
8
8
0
0
0
4
4
8
8
8
8
8
8
12
0
11
8
0
8
8
8
4
4
8
8
16
16
16
16
8
0
0
0
0
16
16
0
2
8
0
4
8
8
8
8
8
16
16
8
8
0
0
0
12
0
20
20
2
2
8
8
4
4
24
4
4
20
0
0
0
0
8
8
0
0
16
16
32
32
0
0
0
16
16
0
9
0
0
1
1
1
2
2
0
8
8
25
25
25
0
4
4
4
4
4
0
0
8
8
0
24
24
0
8
0
8
1
1
1
1
1
16
4
0
16
16
0
0
0
10
0
0
0
4
2
4
8
8
8
8
16
16
0
0
0
0
8
8
8
8
8
2
8
16
8
8
57
1
0
8
0
8
8
0
4
4
0
9
9
1
8
1
0
0
8
8
0
0
20
16
0
0
0
8
8
16
8
57
0
16
0
8
8
8
16
8
0
0
0
2
2
0
0
0
0
20
1
0
0
0
0
24
8
0
8
8
16
16
0
0
4
17
16
17
8
0
8
2
30
0
8
0
16
16
16
16
4
4
4
0
0
0
0
16
16
16
0
0
8
8
8
3
0
19
19
17
21
0
0
0
0
0
0
4
16
0
16
16
8
8
0
16
0
0
0
0
8
8
8
8
8
8
0
0
16
16
0
10
16
0
1
20
0
8
8
8
0
0
8
8
8
8
8
16
0
0
32
0
0
32
4
0
0
16
0
8
8
8
8
0
2
2
2
16
24
16
8
0
0
0
0
0
0
8
8
8
8
8
0
2
16
8
49
49
8
18
12
12
12
8
8
8
8
0
0
0
0
0
0
4
16
0
0
8
8
0
16
8
8
8
8
6
4
4
12
2
2
2
0
0
0
1
32
32
32
32
32
0
0
0
16
0
8
8
0
8
8
8
0
0
0
20
20
32
8
0
8
8
0
0
2
0
8
14
16
16
0
0
0
16
2
2
8
0
2
0
0
8
12
8
0
16
8
8
0
4
4
4
0
16
16
16
16
16
16
16
0
8
0
0
0
5
16
16
16
16
8
16
24
16
0
16
4
4
4
0
4
4
16
16
16
16
0
26
8
0
0
16
16
16
16
0
8
32
32
0
16
16
16
0
3
8
9
4
24
16
16
16
0
0
0
21
0
16
44
8
0
16
16
16
16
16
0
0
8
12
16
0
0
8
0
0
0
1
0
8
8
0
13
13
0
0
0
8
0
0
16
25
17
0
4
0
0
8
8
8
24
16
0
20
16
0
16
20
20
1
32
8
8
0
0
8
8
24
24
16
0
0
4
0
0
0
20
0
1
1
32
0
8
24
8
8
0
0
0
16
16
16
0
0
0
16
8
0
0
8
9
8
4
0
0
0
16
16
0
4
0
8
8
8
8
8
16
4
4
4
4
8
8
0
0
0
0
28
28
16
16
16
16
18
0
0
0
8
0
16
16
0
9
0
0
0
0
2
2
2
16
16
1
1
8
0
2
1
1
0
0
16
16
8
8
8
8
8
8
0
12
12
0
8
8
0
8
16
16
16
4
0
0
16
1
8
8
8
0
0
0
0
0
0
8
0
1
0
0
1
1
0
0
8
8
36
4
4
0
0
4
4
20
20
8
16
16
0
4
4
0
0
0
0
0
2
0
18
1
17
0
0
0
0
0
0
0
0
0
0
0
0
29
0
0
16
49
16
16
16
16
8
8
16
16
16
0
16
8
8
8
8
8
0
0
16
16
16
0
48
0
0
0
4
20
20
20
0
0
8
8
16
8
0
4
4
8
0
8
8
8
1
16
16
32
8
4
4
4
4
16
0
58
0
8
0
16
16
16
0
0
8
8
8
2
2
2
8
8
8
0
0
0
0
1
16
0
4
6
6
0
8
8
16
16
16
16
16
17
16
1
1
1
2
2
0
1
0
0
0
1
1
0
7
7
7
7
8
0
8
8
8
2
2
0
0
0
18
8
8
0
20
6
4
8
8
0
8
8
16
16
16
0
1
8
8
8
8
18
0
0
0
0
0
12
0
0
0
0
16
0
0
16
24
5
1
0
0
8
0
1
8
8
8
1
0
16
0
1
1
0
0
0
4
0
5
8
4
0
16
32
0
0
1
1
1
1
0
0
24
0
0
0
0
0
20
20
1
10
0
4
0
0
6
6
8
28
0
24
0
0
2
2
0
0
0
0
0
0
0
10
8
8
2
32
0
8
0
4
0
0
0
8
8
0
0
0
16
16
16
61
0
0
0
0
8
8
8
20
20
8
8
16
16
28
8
8
0
8
8
8
8
8
8
16
16
16
24
41
41
8
8
41
0
0
0
0
0
8
8
2
2
2
16
16
16
4
4
4
4
0
0
1
16
16
0
9
9
9
8
8
8
16
0
4
16
16
0
0
1
5
1
2
2
2
2
0
0
0
0
0
0
0
8
16
24
16
16
16
16
0
16
16
0
4
4
4
4
16
8
8
24
4
4
4
0
24
1
1
1
1
1
0
0
16
16
16
16
16
16
16
16
16
16
16
16
16
4
0
16
16
16
16
1
1
1
1
4
8
8
4
4
12
4
3
3
3
16
16
16
16
12
12
12
0
0
0
21
21
8
8
4
4
0
20
20
0
0
0
1
1
1
0
8
8
8
0
8
0
16
8
0
8
0
0
0
0
0
24
24
24
8
4
4
4
6
2
4
4
4
4
8
8
8
8
0
33
32
0
8
8
16
4
0
0
20
20
20
20
4
4
16
22
8
4
0
0
16
16
32
8
8
0
8
8
8
0
8
8
8
17
4
8
16
0
0
24
16
16
16
16
0
0
0
0
32
32
0
0
0
2
0
0
10
10
0
8
8
16
16
16
16
16
8
8
8
8
8
0
0
43
8
0
4
1
1
0
0
8
8
8
0
0
0
16
16
16
16
16
16
16
16
0
0
0
0
0
8
8
8
8
0
0
41
41
2
2
0
0
0
0
0
0
0
8
0
8
8
8
8
8
17
16
16
16
16
16
8
8
8
8
8
1
0
0
4
20
4
0
0
0
0
12
0
0
8
1
0
0
0
0
4
4
0
0
0
0
0
0
16
8
16
16
4
20
2
8
4
4
4
5
5
8
8
8
0
0
2
2
1
4
0
0
0
0
0
0
0
0
0
0
0
0
0
26
0
2
2
16
16
16
16
16
16
16
16
16
8
0
0
8
0
0
16
31
8
24
0
0
0
32
8
8
2
32
32
32
4
4
4
18
0
0
0
44
44
44
0
0
0
0
8
8
8
8
8
0
0
0
8
8
1
6
6
17
16
0
8
0
0
0
2
2
8
8
0
0
4
4
24
43
1
16
16
8
8
0
8
8
0
16
16
0
0
4
0
8
8
8
16
16
16
2
2
2
8
8
18
22
18
16
32
1
1
4
40
40
8
8
8
8
16
4
4
4
4
20
4
4
4
0
8
8
0
0
8
8
4
1
0
8
24
8
8
0
0
0
8
8
8
8
8
8
8
8
16
24
16
16
8
8
16
16
4
4
0
0
0
0
0
12
2
2
9
9
0
8
8
8
8
4
16
16
16
16
16
1
1
4
4
4
8
8
24
8
8
0
1
1
1
0
0
8
16
17
0
12
4
8
12
20
20
20
8
0
16
16
16
16
0
0
0
0
4
4
4
1
1
0
8
8
8
8
0
16
0
0
0
0
0
16
16
16
16
22
22
22
16
48
8
8
0
8
8
4
4
4
16
16
4
8
0
4
0
0
0
8
8
16
0
4
4
16
16
8
8
8
48
8
56
0
8
8
1
17
8
8
16
8
8
0
8
8
0
0
0
0
0
8
8
0
0
0
0
8
0
8
4
2
0
0
9
16
18
18
16
0
0
0
0
16
4
0
8
0
2
2
2
1
1
1
1
1
1
9
9
9
8
16
16
16
3
16
8
8
8
0
16
8
0
0
24
1
17
1
1
1
1
1
19
1
1
1
25
0
4
0
12
16
16
16
8
8
16
16
16
16
2
2
20
20
0
0
0
8
28
8
16
8
8
26
16
16
16
8
8
8
8
0
0
4
8
8
16
16
16
16
16
0
8
16
12
8
16
16
8
8
8
8
16
0
0
0
0
0
0
8
8
8
22
2
2
16
16
1
1
1
4
4
4
0
2
2
8
8
8
8
8
8
16
8
8
0
0
2
2
0
8
8
8
8
16
16
16
16
1
1
18
8
8
8
8
8
8
0
0
4
12
16
16
8
8
8
8
8
8
8
3
3
0
0
16
16
4
4
24
24
1
0
0
18
18
8
8
8
8
8
8
8
8
8
8
8
0
8
0
8
0
0
2
0
0
0
0
0
0
8
8
1
8
8
8
8
8
8
9
9
9
8
4
4
0
0
4
4
8
0
0
8
8
8
8
8
0
0
24
16
4
4
0
0
2
30
2
8
8
8
8
8
0
6
6
10
2
2
8
8
8
8
24
8
0
8
4
12
0
0
0
0
8
8
8
8
8
4
0
0
24
8
24
8
8
0
0
0
0
38
2
16
16
16
8
8
8
8
8
0
16
16
16
16
8
16
0
8
1
0
0
0
16
16
0
8
8
8
8
8
8
16
16
16
0
0
0
0
0
16
0
0
0
40
40
0
16
16
32
32
0
0
0
0
0
16
24
16
0
1
0
0
18
18
18
18
0
0
25
8
0
0
28
28
0
0
4
4
0
0
16
16
16
0
0
16
16
16
16
12
8
8
16
0
16
4
16
0
2
27
0
4
0
0
5
5
5
5
0
8
0
0
16
8
24
16
16
16
16
16
16
8
4
12
0
8
8
0
4
4
8
8
8
8
4
8
0
0
8
8
8
8
8
17
24
0
8
4
44
44
0
0
0
0
4
4
16
16
0
0
2
2
6
0
0
2
2
2
1
1
8
8
8
8
8
8
8
16
4
16
0
4
4
0
0
1
1
0
16
16
8
8
8
0
0
0
0
0
0
0
0
0
0
4
4
4
32
32
16
0
0
4
2
0
0
0
12
12
8
8
16
8
8
8
8
8
32
2
0
0
21
21
16
16
0
4
4
4
0
4
16
4
8
0
8
0
8
16
16
16
0
0
0
0
16
16
2
0
8
16
16
0
16
8
18
0
16
0
32
32
8
8
8
16
16
16
8
0
0
0
0
16
0
0
0
8
4
4
1
16
16
16
8
16
0
4
4
4
4
0
4
4
1
0
0
0
0
1
4
4
8
8
8
16
8
12
12
0
0
24
8
16
16
0
8
0
8
16
16
16
8
8
8
8
8
8
8
0
8
8
16
2
2
8
24
0
3
2
2
2
16
16
0
9
9
9
16
0
0
0
2
2
0
8
16
8
16
16
0
6
6
6
6
6
4
4
8
8
8
16
16
13
9
0
8
8
8
8
1
1
8
2
2
6
0
0
4
0
0
20
16
16
8
8
0
0
0
4
8
8
8
24
8
8
16
16
4
0
8
8
8
8
8
0
0
1
1
1
8
2
8
16
16
16
16
0
0
0
16
1
0
0
0
0
0
8
8
8
8
8
0
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
24
24
8
8
8
16
24
27
27
27
18
18
16
8
8
8
0
0
4
1
1
1
1
1
8
8
8
0
16
16
8
8
8
2
8
4
4
4
8
8
10
11
8
8
8
8
16
16
32
32
32
32
0
0
16
16
16
16
2
2
0
0
8
8
24
0
0
0
0
0
0
16
16
16
8
0
0
0
4
8
8
8
24
4
4
4
0
0
16
16
16
8
8
8
4
4
0
0
0
0
0
8
8
0
0
0
1
1
1
1
8
16
8
8
0
0
16
16
16
8
8
8
8
8
8
44
44
44
1
25
16
0
20
0
0
16
8
16
4
4
40
40
40
40
40
40
0
8
0
0
0
16
16
16
16
16
2
2
16
16
8
8
12
4
18
16
16
16
16
8
4
4
4
0
0
0
30
30
30
16
16
24
24
24
16
28
8
12
8
8
24
0
0
0
0
16
1
1
1
1
1
1
1
1
1
1
26
26
8
8
8
8
8
8
8
0
2
20
4
0
0
0
0
16
16
16
16
2
2
2
2
8
1
1
8
8
0
0
0
0
8
8
8
0
0
8
8
0
0
16
16
2
2
2
0
0
0
8
16
2
1
1
1
16
0
0
0
24
24
9
9
9
9
8
1
1
1
8
8
8
8
0
8
0
8
8
0
0
0
16
16
8
8
8
8
8
12
12
8
8
8
8
10
8
2
2
2
8
24
8
8
0
0
0
0
4
4
4
12
0
9
9
9
9
8
8
8
8
16
0
8
8
1
16
16
16
16
16
4
4
28
16
8
16
8
8
8
8
0
0
0
8
12
0
0
0
4
4
4
0
0
0
8
8
8
2
8
8
8
8
8
0
32
50
32
8
8
8
8
8
8
16
12
0
0
24
0
0
0
0
0
1
8
0
1
0
0
8
8
4
4
4
1
1
1
2
0
0
25
8
8
8
8
0
0
8
8
0
0
0
2
2
16
0
16
0
16
0
0
4
4
0
0
0
0
0
0
0
0
0
0
8
16
8
8
16
4
12
8
0
8
8
8
16
16
16
32
8
24
8
4
4
4
8
0
4
2
2
2
1
1
1
9
9
9
9
9
9
2
2
2
0
0
0
1
2
8
9
0
0
0
16
16
16
0
16
8
0
8
1
4
4
4
4
0
0
16
0
8
8
8
8
16
16
16
9
40
40
40
0
8
8
8
8
8
4
4
0
0
8
8
8
8
8
0
24
5
0
0
0
0
0
8
0
0
16
0
24
16
16
8
2
4
0
0
16
0
0
8
9
9
1
0
0
8
8
0
16
20
0
0
0
27
27
16
16
4
6
4
16
8
16
16
16
0
9
9
8
8
4
12
8
8
8
1
1
8
8
8
4
42
16
8
16
16
16
16
16
8
8
8
16
16
16
8
8
0
0
0
8
8
8
8
8
0
8
8
8
8
8
8
8
8
0
0
2
2
2
0
0
8
8
0
0
0
0
8
8
0
24
16
8
8
8
0
56
56
56
0
16
16
0
2
2
16
0
0
0
8
8
8
2
41
0
0
16
16
16
16
16
16
16
16
2
16
16
16
4
4
16
16
1
8
8
0
8
0
8
8
8
8
8
9
9
9
9
32
32
32
0
8
8
0
4
4
12
8
2
24
24
24
24
0
0
0
8
18
16
8
16
16
0
0
0
0
2
14
8
8
8
8
2
16
8
8
12
0
8
8
8
8
8
16
16
0
8
8
0
0
0
4
4
2
57
2
0
0
0
16
8
8
8
8
0
8
0
0
32
8
0
1
1
0
0
23
23
23
4
4
8
8
8
4
4
6
16
4
4
1
8
8
16
4
4
4
4
4
0
16
0
8
8
8
0
0
8
8
8
8
8
0
0
20
24
24
24
24
24
0
16
1
1
8
8
8
8
4
5
1
1
8
8
12
8
8
4
4
4
0
16
16
4
0
0
0
4
4
16
16
16
16
8
8
8
0
0
24
16
16
16
8
0
16
16
8
4
4
4
16
16
8
8
8
2
0
0
18
8
8
24
24
24
0
1
8
8
8
0
8
8
8
0
0
0
18
16
16
4
4
4
8
8
4
16
16
0
16
16
8
0
0
8
8
8
8
0
24
8
8
16
2
2
2
8
8
16
16
16
8
8
0
0
0
20
20
24
24
24
8
0
0
0
16
16
12
1
1
4
4
16
0
0
8
0
16
24
0
16
8
16
18
28
16
16
16
16
16
8
8
4
0
0
0
4
4
4
0
16
16
16
16
16
16
16
16
16
16
0
8
8
29
1
1
1
0
0
0
0
16
16
1
1
0
0
0
0
0
1
1
16
8
0
6
0
16
16
4
8
0
16
16
16
12
12
0
8
0
1
1
1
1
1
1
1
1
2
0
0
0
0
1
16
8
8
20
20
20
8
0
4
4
4
4
8
0
0
8
8
8
2
8
8
0
16
16
1
0
24
16
16
16
16
16
4
8
8
0
8
1
2
2
16
8
16
16
16
24
8
8
0
8
8
33
8
24
16
0
0
8
8
4
0
0
0
8
8
16
8
0
0
32
0
0
32
16
16
4
8
8
8
8
10
0
4
4
4
4
0
14
20
0
0
0
0
16
16
8
8
16
16
16
16
16
24
8
8
0
0
0
4
4
4
16
16
16
8
4
4
4
0
16
8
8
0
16
16
8
3
16
8
0
0
8
8
8
0
4
16
8
8
8
2
2
2
2
2
0
8
8
1
8
8
16
0
24
16
0
0
0
0
0
0
4
16
16
16
16
16
16
0
2
2
24
8
8
0
0
8
0
2
2
0
32
16
18
16
8
8
0
0
8
4
0
0
8
8
0
16
0
0
8
0
8
8
0
0
43
8
8
16
16
16
16
8
0
0
16
16
4
4
4
0
1
16
17
8
0
0
0
0
20
0
4
8
8
8
8
8
8
0
0
0
27
0
16
16
1
1
1
1
16
0
20
16
16
16
0
1
1
0
8
8
8
32
8
8
0
0
0
0
0
8
0
24
4
4
4
4
4
4
4
4
8
8
8
8
8
0
0
0
0
8
8
8
8
16
28
1
1
8
0
16
16
0
0
0
0
8
8
0
8
8
0
8
8
16
8
8
8
8
8
8
0
0
8
8
0
0
0
4
4
4
4
4
0
0
0
16
16
20
28
8
8
16
16
16
16
8
0
0
0
0
0
16
16
16
4
8
0
20
20
8
24
24
0
0
16
16
16
16
4
4
4
13
1
8
8
8
36
36
16
20
4
0
8
8
8
0
16
4
4
4
24
24
32
0
16
8
8
0
0
0
8
8
8
8
2
3
2
18
18
16
8
8
8
14
14
8
8
8
8
1
1
0
0
0
0
0
16
8
12
1
1
1
1
16
26
8
8
32
32
16
16
4
17
8
8
8
8
62
62
8
0
0
0
0
2
26
18
0
0
0
0
0
8
8
8
4
0
8
0
34
26
4
2
2
2
8
8
8
8
16
2
8
8
8
16
16
4
4
4
16
0
32
8
4
4
4
4
0
0
8
8
8
8
8
4
4
2
2
9
9
9
9
9
8
8
8
24
8
0
0
0
8
8
8
0
1
1
1
1
4
0
20
16
16
16
16
8
8
8
8
16
16
16
1
0
16
18
2
2
2
0
0
8
8
28
0
52
23
0
8
8
8
8
2
2
2
4
8
16
16
8
8
8
8
8
3
0
0
0
8
8
8
16
16
0
2
8
8
16
16
0
16
16
8
8
8
8
8
8
32
8
16
16
0
2
8
8
0
1
1
1
8
8
8
8
8
2
16
16
16
0
8
8
8
16
16
20
0
0
0
2
0
0
59
8
8
8
24
8
16
16
4
24
8
8
16
4
0
0
1
0
0
0
8
8
8
8
4
0
16
16
12
0
8
8
0
16
8
8
8
8
8
8
0
0
16
16
16
16
0
0
2
2
2
2
8
8
0
8
8
0
0
0
8
9
8
8
8
8
8
4
8
24
8
8
8
8
0
0
4
0
0
0
0
8
8
22
6
6
6
16
0
0
4
6
4
8
0
0
24
17
8
16
2
16
32
0
0
1
1
1
12
12
0
16
1
4
4
4
16
16
8
8
6
2
8
24
16
0
0
0
0
8
8
8
8
16
16
8
24
8
16
16
16
16
16
1
1
1
0
16
1
1
1
0
16
24
16
16
12
0
0
0
0
8
8
0
24
24
4
20
16
16
1
1
8
8
8
8
8
4
4
1
0
8
8
8
24
1
1
59
0
0
2
8
8
16
16
40
8
0
0
24
24
16
16
8
8
1
8
16
16
8
8
4
16
16
16
16
16
16
16
24
8
8
8
8
8
0
0
8
8
0
0
0
0
24
24
8
8
2
2
4
4
16
0
8
8
8
8
24
24
24
4
2
0
0
0
0
0
9
1
16
0
0
0
0
26
26
26
12
12
12
4
4
4
0
8
8
1
2
2
0
4
16
16
17
1
1
1
1
4
4
8
8
0
0
0
0
0
0
4
4
4
4
4
8
0
0
20
20
0
0
16
4
0
0
8
2
8
8
16
16
0
0
0
19
19
0
0
0
8
8
8
8
8
8
44
8
44
44
16
16
2
4
0
0
0
4
4
4
0
0
16
32
0
8
8
8
8
0
0
16
16
24
16
16
16
0
8
8
8
8
16
16
8
8
16
16
8
16
16
16
0
2
2
20
1
1
0
16
0
8
0
0
0
1
1
0
8
8
9
0
0
0
8
8
8
8
8
8
9
9
9
9
0
0
8
8
8
8
4
4
16
32
0
1
0
8
8
0
16
0
0
8
0
16
16
8
8
32
32
8
8
8
16
24
24
24
8
8
8
8
16
8
16
8
12
2
2
0
0
0
4
16
8
9
9
9
10
0
0
8
8
16
16
24
24
16
16
32
32
32
24
16
24
8
1
0
2
16
20
0
0
0
16
16
12
12
12
8
8
8
8
24
16
16
0
0
0
0
4
4
0
0
8
8
8
8
20
24
0
0
0
4
4
0
21
20
4
0
0
1
8
8
8
24
24
20
24
1
1
1
1
1
32
2
0
4
4
4
6
6
0
1
0
0
8
8
0
0
0
6
0
0
1
16
4
4
4
32
32
0
0
8
8
8
16
0
8
8
8
8
8
8
8
8
0
1
1
1
1
1
1
1
32
32
0
8
8
8
0
0
0
0
8
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
5
8
4
4
8
8
8
24
24
0
8
8
8
8
8
3
3
16
8
8
8
8
8
0
32
8
0
0
4
16
16
16
0
8
8
8
56
4
38
0
0
0
0
4
4
1
1
16
0
1
0
24
20
6
6
4
8
8
8
8
8
8
0
0
16
8
24
8
8
1
1
0
16
16
8
8
8
8
8
16
1
1
0
0
8
3
3
18
16
16
16
4
4
18
0
0
4
4
0
8
8
8
4
32
32
1
8
4
0
0
8
24
0
0
0
0
0
16
16
16
1
8
8
16
16
16
16
38
4
2
0
0
0
8
1
9
1
1
1
1
8
8
8
0
0
0
0
8
16
16
16
16
0
0
0
0
0
0
16
16
16
16
8
0
8
8
8
0
0
8
8
8
16
8
0
8
8
0
8
8
8
8
8
8
8
8
8
8
1
16
16
16
16
16
16
16
4
0
0
4
8
8
8
8
8
0
0
0
0
0
0
44
8
16
12
32
32
8
8
16
0
24
24
4
0
0
1
4
16
16
0
0
0
0
0
17
0
0
0
0
0
0
0
34
34
34
0
0
0
16
16
0
0
0
0
4
0
0
0
0
8
8
8
8
8
8
8
8
16
2
0
5
5
1
1
0
0
0
8
8
8
8
8
8
2
8
10
0
0
0
16
20
4
4
0
1
1
8
8
8
0
8
8
8
8
9
8
8
8
18
18
0
8
8
8
8
8
8
8
8
8
0
8
0
4
0
8
8
0
0
0
0
0
0
8
8
8
8
0
9
16
8
16
8
24
8
0
12
2
2
2
2
2
0
0
13
4
0
0
0
4
16
0
16
16
8
16
16
16
16
16
8
2
8
0
0
0
6
4
4
4
4
4
4
0
8
0
0
0
0
0
8
1
8
0
0
0
0
8
8
8
32
32
32
32
32
0
1
1
8
8
0
0
0
0
24
24
24
0
16
0
0
0
0
8
1
1
1
2
2
16
16
8
8
0
0
0
16
0
0
8
8
8
0
0
24
24
8
0
1
1
1
0
0
0
4
8
8
8
8
1
9
24
24
5
12
8
16
16
0
0
0
0
0
4
1
1
17
17
1
1
8
8
8
8
8
8
8
8
2
2
4
4
11
11
8
8
8
8
8
8
8
8
2
2
2
0
8
8
24
16
2
4
2
8
16
16
8
8
8
8
1
1
16
16
16
0
0
0
0
4
4
0
0
36
36
36
8
0
24
16
0
12
8
8
0
8
4
4
4
4
4
4
8
2
27
4
6
0
0
8
8
16
8
1
8
0
4
1
1
1
1
1
36
36
36
0
0
16
16
0
2
2
0
0
0
8
8
8
0
0
8
8
8
8
12
4
4
0
2
2
4
8
8
4
8
8
8
8
2
16
16
2
8
8
16
16
8
8
20
0
0
0
8
8
8
0
8
8
8
16
8
0
2
0
16
0
0
8
4
49
49
8
8
2
2
8
8
8
16
1
24
24
24
24
0
0
16
0
16
16
16
16
0
8
8
0
20
20
8
24
17
17
17
8
8
0
0
4
28
8
8
8
8
24
0
0
20
20
20
4
8
8
8
8
8
4
44
16
8
8
0
12
12
0
8
8
8
8
8
0
0
0
8
8
18
37
0
16
16
16
16
16
0
0
0
1
5
16
16
16
4
8
8
0
24
24
24
24
4
4
4
4
8
12
16
0
0
16
0
8
8
0
0
24
24
24
8
4
4
1
8
8
8
0
0
8
8
0
9
9
8
24
1
0
8
8
8
16
8
1
1
1
8
8
12
8
16
8
8
1
0
16
1
1
20
1
4
4
0
8
8
0
24
8
8
8
8
8
4
4
1
1
0
0
10
10
8
8
8
1
0
0
0
4
24
24
24
16
16
16
0
0
1
16
0
16
16
20
20
20
8
8
8
8
8
8
4
4
4
4
12
8
0
0
16
0
0
0
0
8
0
18
16
32
32
8
0
61
16
16
16
16
16
2
2
2
2
0
0
0
8
8
8
8
1
1
1
0
8
16
0
0
8
8
0
8
8
8
24
4
16
0
1
1
8
0
0
8
8
8
8
8
8
4
8
8
8
0
1
1
0
2
2
2
0
8
8
8
8
0
19
16
8
8
8
8
0
0
16
16
16
16
16
16
28
4
4
16
18
21
16
0
0
0
0
0
0
0
6
0
16
1
4
8
0
0
16
0
0
0
48
0
16
16
1
24
24
4
8
8
8
16
8
8
8
0
1
1
8
8
10
0
24
12
8
28
8
20
20
20
20
0
0
0
16
24
8
8
8
0
8
8
8
1
16
0
0
32
48
8
16
16
17
8
0
0
0
2
4
0
0
8
0
20
20
20
20
18
8
0
0
0
8
16
8
8
32
0
8
8
0
8
8
8
1
1
3
16
0
8
8
2
2
8
0
1
42
8
4
16
0
16
16
8
8
8
6
2
16
0
1
8
8
16
0
16
0
0
0
0
8
16
8
8
8
8
8
16
8
0
4
4
16
2
2
0
8
2
8
0
0
16
16
0
4
4
4
4
4
4
4
4
4
4
4
4
4
0
8
8
8
16
8
8
8
24
24
8
8
8
8
16
16
1
0
0
8
8
8
0
0
0
2
2
0
0
0
8
8
0
8
8
8
8
4
24
0
0
8
8
4
6
6
4
4
17
16
16
1
1
0
0
0
0
0
0
9
0
0
1
8
8
0
4
16
16
8
16
20
2
1
1
1
1
8
8
8
0
16
24
4
40
40
2
8
0
16
0
0
8
8
8
8
16
24
24
8
8
8
2
16
0
0
16
16
0
32
32
32
16
16
16
16
8
8
8
0
17
32
4
52
4
4
4
8
4
0
0
0
8
8
8
0
0
0
0
0
2
0
1
1
8
0
30
8
8
3
11
1
2
2
2
2
0
4
0
8
8
8
16
16
4
8
2
9
0
16
0
8
0
2
2
2
0
0
8
8
18
0
8
16
16
16
0
8
8
16
8
8
0
0
4
4
4
32
32
24
24
16
16
16
16
16
32
32
1
1
1
1
0
0
0
8
8
8
2
0
20
7
16
16
24
23
16
8
8
16
24
16
16
16
0
4
0
24
8
8
8
4
4
8
0
0
0
24
8
0
0
0
0
0
0
0
0
0
0
0
16
16
4
8
0
8
2
0
0
0
0
0
4
4
0
16
9
1
1
0
0
16
16
16
16
1
8
8
8
0
8
24
8
8
8
16
16
8
16
4
4
4
8
16
16
16
0
8
0
9
1
8
8
8
16
21
5
5
8
0
0
0
0
2
0
2
2
4
2
2
25
25
25
17
17
17
17
17
4
8
8
2
2
8
8
8
2
2
2
2
2
8
8
8
8
8
18
0
8
0
0
0
8
8
20
1
12
16
4
4
8
0
0
16
4
2
2
2
2
8
8
8
8
8
0
0
0
20
16
0
0
8
8
8
8
8
12
12
12
12
8
0
4
4
8
8
6
8
8
8
0
0
0
0
16
8
0
0
8
8
40
8
8
0
8
4
0
2
2
0
16
16
16
9
2
2
3
3
8
0
24
8
16
16
16
0
8
0
8
8
8
8
4
16
1
1
8
8
1
24
25
1
40
8
8
8
8
8
8
8
8
0
0
0
32
0
2
2
0
0
0
16
16
16
0
8
0
32
32
32
8
16
16
16
16
16
8
1
8
8
8
0
1
16
1
1
2
2
0
0
0
8
0
8
8
8
8
2
2
2
2
8
28
24
8
8
8
8
1
1
0
0
0
48
2
16
4
0
0
0
16
16
16
16
0
8
8
1
1
22
22
8
0
0
0
8
12
0
8
8
8
8
8
4
4
0
0
8
8
8
8
0
2
16
20
0
16
8
1
8
8
8
0
0
8
8
24
0
32
36
2
16
1
8
24
10
0
8
4
4
8
8
8
0
0
16
16
16
4
0
0
8
16
20
20
20
56
4
8
8
0
8
4
0
0
8
8
0
6
16
16
16
16
0
16
28
20
1
8
16
16
16
8
16
16
0
0
0
0
8
0
16
24
0
8
8
4
2
2
0
0
4
8
0
0
0
0
0
0
16
16
16
0
0
4
4
4
4
4
0
16
16
16
16
16
8
8
4
4
0
0
8
16
16
16
16
16
0
0
0
16
0
8
25
0
0
1
8
8
8
8
4
4
4
4
4
4
4
4
20
20
24
42
0
40
0
0
1
0
0
0
8
16
2
48
44
44
24
16
16
0
8
0
0
0
8
8
8
8
8
4
4
0
0
16
16
8
18
2
8
8
8
8
8
1
0
8
16
8
8
8
8
32
32
32
8
4
4
4
0
8
0
8
0
0
8
2
18
16
16
0
0
0
0
0
8
8
8
0
2
2
2
16
0
4
4
0
0
0
8
8
8
8
8
8
4
0
0
0
0
0
16
8
8
8
8
8
0
16
0
4
21
0
16
8
8
8
8
8
21
0
0
8
1
8
8
8
8
8
16
8
16
8
8
8
0
0
0
0
8
8
8
8
8
8
22
1
1
16
16
0
4
4
8
8
8
0
0
0
16
4
8
8
0
36
8
8
8
0
8
8
8
2
2
2
0
1
16
16
16
8
8
8
8
8
8
8
0
1
1
1
8
8
24
0
0
8
8
1
1
16
8
8
8
8
8
4
4
0
0
16
2
2
2
16
16
16
16
0
14
14
14
28
16
16
12
8
16
16
8
54
0
0
16
0
24
0
8
8
1
32
32
0
2
4
4
4
4
12
8
8
0
0
8
8
8
8
8
16
9
24
24
8
8
10
2
20
20
20
12
0
0
0
0
8
8
8
24
24
8
8
8
0
0
0
0
16
0
8
8
8
0
16
0
0
24
0
0
4
8
61
0
0
0
8
8
0
8
8
8
8
8
0
0
16
28
8
8
0
0
0
4
16
0
16
8
16
32
32
16
16
2
8
8
24
24
8
8
48
48
4
0
0
0
0
26
24
0
20
20
16
24
8
20
0
8
4
0
0
0
2
1
0
0
0
0
0
0
0
16
16
16
0
0
0
0
0
0
8
8
0
0
16
8
1
8
8
0
8
8
24
24
4
8
0
12
12
8
0
32
6
8
8
4
8
0
0
40
18
16
0
16
16
4
16
24
0
8
0
8
0
1
0
8
8
8
0
0
8
0
0
0
0
0
8
8
8
8
32
32
0
4
4
8
8
8
8
8
8
8
0
0
0
0
8
0
0
0
0
0
2
8
8
8
8
8
8
8
0
0
8
8
8
0
0
0
32
4
4
0
4
0
0
8
8
8
8
8
0
8
4
0
0
0
4
0
4
4
4
4
0
1
1
4
4
25
8
8
16
16
0
16
4
2
4
0
0
0
0
16
0
0
8
16
4
4
0
0
16
0
0
0
0
0
16
8
0
4
8
0
0
0
0
0
8
0
1
1
0
4
12
8
32
4
0
0
2
2
2
0
0
8
8
20
0
0
14
14
14
8
2
2
2
1
1
1
1
1
1
1
0
16
33
8
8
0
24
32
44
4
4
4
4
8
8
8
8
0
21
4
0
8
8
24
0
0
2
2
8
8
8
0
0
8
8
0
4
0
0
0
16
16
24
16
0
0
16
16
0
32
8
8
8
8
8
0
0
0
16
16
8
8
0
0
0
4
4
0
24
24
16
16
16
16
16
16
4
4
8
8
1
1
0
32
32
32
32
24
24
24
24
20
8
8
8
0
0
0
4
12
16
8
8
8
8
8
8
8
8
0
8
16
16
5
4
5
1
8
24
2
2
8
16
16
8
24
8
8
0
8
0
0
8
8
0
8
12
8
0
8
8
8
2
2
0
20
9
1
1
0
0
0
8
8
8
0
0
0
24
16
0
0
0
8
4
4
4
0
3
0
16
2
2
8
24
8
8
8
8
8
0
0
0
0
0
0
0
32
32
0
0
0
8
8
4
4
0
16
16
8
8
0
0
0
4
4
0
8
8
4
4
0
2
8
8
0
0
16
9
0
16
16
16
4
4
4
8
16
16
16
1
1
1
0
0
8
8
16
8
8
8
0
0
8
8
8
8
8
8
8
8
16
16
0
0
8
8
8
8
8
8
0
0
4
4
4
4
8
0
16
16
24
4
16
0
8
0
0
8
8
8
26
26
2
0
0
0
0
0
0
0
8
0
0
12
12
0
0
0
16
16
16
0
4
8
0
0
0
0
0
0
2
2
2
0
0
12
8
8
8
0
2
8
8
0
0
8
8
8
8
8
0
0
16
16
0
4
4
8
0
8
8
0
0
4
12
0
8
2
2
2
4
8
8
8
8
8
8
0
0
0
8
8
8
8
8
8
11
1
1
1
4
8
8
4
24
0
22
17
4
4
4
4
0
0
16
16
8
16
16
0
0
8
8
8
12
16
16
16
16
8
2
0
0
1
8
8
8
3
16
16
16
16
24
8
0
8
8
8
8
8
1
4
1
1
0
0
0
1
1
6
8
8
8
2
0
0
0
8
24
16
8
8
16
16
16
0
8
0
8
8
8
1
1
1
9
0
8
8
8
0
24
24
8
4
8
8
16
0
0
4
8
0
0
32
32
30
30
0
0
16
23
0
2
2
36
36
0
0
0
16
0
0
8
8
8
16
2
2
2
2
2
2
2
0
0
2
0
0
0
0
0
0
0
0
28
28
28
28
0
0
0
24
24
8
0
0
0
0
4
4
8
4
0
0
0
0
0
4
24
24
2
0
16
8
24
24
0
8
8
8
8
2
2
1
0
0
8
8
8
8
24
6
18
20
16
16
16
16
1
8
24
8
8
8
0
16
16
0
8
8
8
8
8
8
2
2
0
8
8
8
0
0
8
8
4
38
1
0
0
8
8
8
8
8
8
0
8
8
8
8
8
8
0
0
0
8
8
16
16
16
16
32
32
6
16
0
8
0
8
8
8
8
16
8
8
8
32
0
2
3
16
16
20
20
20
0
16
0
1
1
0
1
4
4
15
4
8
8
8
8
51
8
8
8
8
8
0
0
0
2
0
0
2
0
0
16
0
0
1
14
14
14
16
0
18
18
18
18
28
0
0
0
0
8
8
0
35
35
8
0
10
8
8
16
0
48
0
8
0
16
16
16
16
0
0
0
0
8
4
27
27
0
0
3
3
32
32
32
0
4
0
0
0
0
0
0
16
1
1
0
27
32
16
16
1
8
8
8
8
8
8
2
2
2
2
0
0
0
16
16
24
24
1
1
1
1
5
4
5
0
8
8
4
4
0
10
2
0
32
32
32
32
32
32
16
16
8
0
4
16
8
8
8
8
2
2
2
16
0
0
0
1
16
0
8
8
8
8
8
8
0
0
0
0
0
0
8
8
8
8
0
1
1
16
0
27
0
0
0
0
32
8
0
16
0
2
0
0
0
0
0
20
0
0
0
4
4
4
0
0
4
0
20
20
0
0
0
2
16
16
8
0
16
16
1
16
12
0
0
24
0
0
0
0
0
0
4
8
12
4
4
60
60
60
8
8
8
0
0
16
0
0
0
8
8
8
4
21
36
0
0
0
0
0
16
16
16
16
16
16
16
16
16
16
16
16
4
16
16
16
16
16
0
0
0
0
0
0
0
0
16
0
0
0
4
25
25
25
0
0
8
8
8
8
0
0
0
0
2
2
0
0
20
20
20
2
0
0
8
8
0
26
26
6
8
8
8
0
16
2
0
16
4
32
16
16
16
8
8
8
16
16
0
0
0
0
16
16
16
8
0
0
0
0
0
40
40
0
0
1
1
1
1
1
16
16
10
0
0
2
2
2
0
8
40
8
8
1
1
9
24
24
24
0
0
0
0
0
0
16
24
24
0
0
4
4
4
0
8
24
24
24
8
8
0
0
24
4
16
16
4
0
8
8
8
8
0
0
1
1
1
1
0
8
8
24
16
16
16
32
32
0
0
0
0
0
4
4
2
0
0
0
0
4
41
8
16
16
16
9
8
8
0
16
0
0
8
8
0
0
0
0
0
0
0
0
0
8
0
8
8
8
1
8
8
8
0
0
0
0
1
1
0
0
16
0
0
0
4
4
8
8
0
0
0
0
0
0
16
16
16
16
16
16
16
16
16
0
0
0
6
8
8
0
0
20
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
16
16
0
0
0
0
2
0
8
8
8
8
8
0
0
0
0
8
0
0
8
8
8
0
8
0
0
0
0
2
8
8
0
0
16
16
0
8
8
4
8
0
0
10
8
8
0
0
16
0
0
0
0
0
2
2
12
0
0
10
0
12
21
0
12
8
16
16
16
16
0
0
0
0
8
0
16
16
16
16
2
2
2
0
4
8
2
2
2
0
4
16
16
0
16
8
2
2
2
16
0
0
0
8
8
8
8
8
8
8
8
0
0
0
24
24
8
16
16
16
16
4
8
8
1
0
18
16
16
0
16
16
16
0
16
16
16
0
0
12
12
16
16
0
0
0
0
4
4
1
0
0
16
16
16
16
12
12
0
0
16
12
12
12
16
4
4
8
8
1
8
16
0
0
4
4
4
4
4
8
16
16
0
0
32
32
32
32
16
16
16
0
0
0
0
0
0
0
0
16
16
16
0
0
0
16
0
12
12
20
8
0
0
0
0
0
8
8
16
16
0
0
4
16
24
0
2
1
2
0
8
0
0
0
8
0
2
2
2
2
2
18
0
0
0
2
8
4
4
4
0
8
24
0
16
16
0
16
0
0
4
0
0
10
0
8
8
16
12
1
1
1
8
8
0
0
0
0
1
0
8
16
0
0
0
0
0
0
0
0
0
0
0
16
16
16
8
8
1
1
9
9
28
16
8
0
0
0
0
8
8
8
8
0
0
8
8
8
8
0
3
3
16
16
8
8
18
18
0
0
0
7
0
4
4
16
16
16
0
8
4
4
16
16
16
0
0
16
1
0
0
0
0
2
1
3
3
0
0
0
4
4
0
2
0
0
0
0
8
8
8
8
8
4
4
0
8
8
8
8
0
0
0
16
25
8
0
0
6
16
4
4
4
0
0
0
8
8
8
8
8
8
16
0
16
10
16
26
8
8
0
0
0
2
0
8
8
8
8
0
0
8
0
8
0
8
16
24
8
0
8
8
8
8
0
0
12
8
8
16
0
0
0
0
0
0
0
0
0
16
0
8
2
2
8
8
16
8
8
8
4
0
8
8
0
0
1
0
0
8
8
12
16
0
4
16
0
0
0
58
58
8
8
1
24
4
16
8
0
16
4
0
0
8
8
8
16
16
16
1
16
16
0
8
8
16
16
16
8
8
0
0
1
1
1
1
8
8
8
16
16
0
0
0
8
0
0
1
4
16
0
4
16
16
0
0
0
16
1
0
0
0
0
4
12
8
0
0
0
8
8
8
4
0
16
16
16
0
0
0
1
1
0
4
0
0
0
0
0
0
32
32
32
32
4
16
16
16
2
2
8
8
8
8
16
24
24
8
8
8
0
0
0
8
8
0
0
8
8
0
20
0
0
0
0
0
0
0
8
2
2
2
0
0
4
0
8
8
8
0
0
16
16
0
12
12
8
1
1
9
1
16
16
16
16
16
16
16
16
16
16
16
16
0
0
0
0
0
16
0
1
8
8
4
4
4
4
0
9
4
0
0
0
0
0
16
16
2
2
2
2
9
9
0
19
8
0
24
8
8
24
8
8
0
2
2
0
2
8
8
8
0
0
16
20
0
4
4
0
0
0
0
8
0
0
16
2
10
8
0
0
8
0
0
8
8
8
8
8
8
0
8
17
0
4
4
0
0
0
0
0
0
0
0
4
16
16
2
2
1
1
0
5
5
5
32
8
8
8
22
0
0
8
0
24
0
0
20
16
16
0
0
1
0
4
16
0
0
48
48
1
1
1
0
0
0
0
8
8
8
4
4
4
0
32
32
2
8
0
0
16
20
0
0
16
8
8
8
8
2
17
0
0
0
4
4
0
8
8
0
1
16
0
0
0
2
9
0
24
4
4
0
32
12
0
0
17
17
48
48
4
4
0
0
0
0
4
0
0
0
0
0
1
16
4
4
4
2
8
8
8
0
0
8
0
0
16
0
0
2
0
0
4
4
2
0
24
24
0
16
16
16
0
0
16
16
0
0
0
4
24
24
0
0
8
8
8
0
0
0
2
0
0
0
0
6
2
16
0
0
0
0
0
0
0
32
12
8
4
4
29
32
32
2
18
2
2
8
0
0
0
0
0
0
0
0
1
0
0
0
0
0
20
0
0
16
25
3
0
0
0
8
2
8
0
0
16
16
0
0
24
24
0
8
8
8
0
0
0
12
4
4
16
0
0
16
16
16
16
24
24
24
4
4
6
0
20
0
16
2
0
4
4
1
32
32
32
0
16
0
0
4
0
16
0
0
4
4
16
0
0
0
9
9
0
24
24
24
24
24
24
0
0
0
8
1
1
0
0
16
16
0
8
4
4
4
0
0
10
0
0
8
0
2
2
0
0
0
0
4
4
4
8
16
16
16
16
16
16
8
0
4
4
4
4
16
0
0
0
6
25
0
0
8
8
8
8
0
4
2
0
0
1
1
1
0
0
16
0
0
1
1
1
8
8
0
0
0
0
0
0
0
0
8
0
0
0
0
0
48
50
4
4
0
26
4
4
0
18
18
0
8
0
24
0
0
1
2
8
8
1
1
0
0
0
0
0
0
8
8
2
4
0
8
0
0
0
0
24
8
8
8
8
8
0
0
0
20
20
0
0
0
16
16
6
4
0
16
16
0
0
2
8
10
4
0
8
8
0
0
17
8
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
18
0
16
2
8
8
0
0
16
16
6
2
4
6
2
2
8
8
0
16
16
16
8
8
0
0
0
0
12
32
32
0
0
0
0
0
0
0
0
16
8
8
0
2
2
8
8
0
4
4
0
24
0
0
0
8
16
0
1
0
1
1
8
8
16
24
16
16
8
16
8
16
8
8
1
1
0
0
8
16
16
16
16
32
24
24
9
0
0
0
24
0
16
0
16
16
8
12
8
16
16
4
44
0
16
16
0
0
0
8
0
0
0
0
20
4
0
24
8
16
16
16
0
0
0
0
0
8
8
0
0
0
0
0
1
0
17
8
8
8
16
4
0
0
0
0
0
0
16
16
16
33
33
1
1
1
1
0
16
16
0
0
0
8
0
0
0
0
0
0
4
0
0
8
0
0
16
0
0
8
8
8
0
0
0
0
0
0
10
8
8
4
4
8
8
8
8
0
0
16
16
16
0
0
0
16
0
0
8
0
0
0
4
8
0
8
0
8
4
4
4
4
0
0
0
0
4
4
4
0
0
0
0
0
0
0
0
0
32
0
16
16
16
0
0
0
0
8
8
8
1
1
8
8
0
0
0
2
0
0
2
50
8
0
8
8
0
8
8
0
8
8
8
16
1
0
16
16
8
8
8
8
0
20
4
4
0
0
20
0
0
0
0
0
8
0
16
9
0
0
0
0
8
8
22
0
16
8
0
0
0
0
0
32
32
32
32
0
0
0
0
0
8
4
0
0
0
0
0
0
0
0
0
1
0
0
0
40
4
0
0
16
0
0
16
16
16
16
2
2
0
0
0
0
0
0
8
8
8
0
37
37
8
8
8
8
1
1
1
0
0
8
4
4
4
16
16
16
16
1
4
0
24
1
1
16
0
0
8
8
8
8
4
4
4
12
0
16
1
1
8
8
1
8
24
24
0
0
0
0
15
15
8
0
0
16
16
16
0
16
16
0
0
0
8
24
0
0
0
0
0
0
0
8
8
8
8
0
0
8
8
8
8
0
0
0
0
6
8
8
16
16
16
16
16
16
16
0
0
0
16
8
8
24
24
24
24
24
24
0
0
0
6
0
0
24
8
8
8
8
8
4
0
0
0
0
0
0
0
0
4
0
0
8
8
32
32
32
4
0
0
0
0
0
8
8
24
16
8
8
0
0
8
0
0
8
8
8
8
16
4
16
16
8
22
22
4
4
4
0
16
24
20
0
24
24
0
0
16
0
0
0
0
0
0
0
8
0
0
0
0
1
1
0
8
8
8
8
13
0
0
0
2
0
16
16
16
16
16
16
16
16
16
16
0
0
0
26
0
0
0
8
8
8
8
0
8
0
0
0
0
8
16
8
8
16
4
4
4
0
0
0
0
0
0
4
4
4
16
16
0
0
8
16
9
2
16
16
32
1
1
1
2
2
2
4
4
4
4
0
0
8
8
8
4
24
0
0
0
0
8
8
8
8
16
16
16
16
16
0
0
0
2
2
0
0
4
4
4
0
0
24
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
6
2
0
8
0
16
4
4
4
4
8
0
0
0
16
0
0
0
4
4
4
1
1
0
1
8
8
0
0
8
8
8
8
8
8
0
16
16
0
4
16
16
0
0
0
1
1
16
8
0
8
8
4
0
0
16
0
0
8
8
0
0
32
32
32
0
0
16
40
6
16
0
0
0
16
8
8
0
8
2
0
0
0
16
16
16
16
28
0
0
0
0
32
2
0
0
0
0
8
24
1
1
24
4
4
12
4
4
24
0
0
0
8
8
8
4
0
0
8
8
8
2
0
0
0
0
16
16
0
0
4
4
0
0
0
1
1
2
2
0
0
0
0
0
4
3
1
3
1
1
1
1
0
46
16
2
4
0
24
24
0
0
0
8
8
8
0
0
0
0
0
20
0
0
2
24
24
24
24
0
0
8
2
2
0
0
16
52
16
0
0
0
0
1
1
0
24
0
0
24
4
16
16
20
20
0
0
10
8
8
8
16
0
16
16
16
16
16
8
8
8
8
24
8
0
0
0
0
0
0
0
0
0
8
1
16
16
16
0
16
16
16
16
0
0
18
16
0
0
0
0
0
0
8
8
24
2
24
8
8
0
0
0
56
56
0
8
0
26
16
0
0
0
0
16
0
0
0
0
1
1
1
8
16
16
0
8
8
8
0
0
0
0
0
0
0
4
4
0
8
8
16
4
10
1
1
16
0
16
0
16
0
8
8
8
8
8
0
2
2
0
0
8
8
8
0
16
0
4
8
4
0
2
0
0
2
0
0
0
8
8
0
0
0
0
8
8
8
0
0
0
0
10
10
10
16
16
0
16
4
4
0
0
0
8
8
8
0
0
0
0
8
0
8
0
0
6
0
0
0
0
0
0
0
0
4
0
0
4
4
0
8
8
16
16
16
16
4
16
16
8
0
0
8
8
6
6
16
16
16
16
0
0
8
8
8
8
8
2
6
2
2
0
8
0
8
8
0
0
12
1
8
8
0
8
0
16
8
2
2
0
0
0
0
0
4
4
12
4
0
0
0
0
6
0
6
6
8
8
0
16
0
0
2
0
20
20
20
8
0
0
4
16
16
16
16
16
16
8
8
8
0
0
0
16
0
0
0
0
4
4
4
0
0
16
8
8
8
8
8
24
0
0
8
8
8
8
16
0
0
1
8
0
0
4
0
0
4
4
4
0
0
0
0
0
4
22
22
24
24
0
4
22
0
0
0
0
16
16
4
4
4
0
0
0
0
0
0
16
0
0
0
0
8
8
26
24
24
8
8
0
0
7
0
0
0
0
0
16
2
8
0
0
0
0
8
0
0
0
8
8
24
16
16
0
16
16
16
8
0
0
1
1
2
2
0
24
8
8
8
1
1
33
0
0
0
0
4
0
0
0
0
0
8
17
17
0
0
0
16
16
0
0
0
0
48
16
8
4
0
8
8
0
0
12
12
0
0
4
0
0
0
8
8
8
0
0
8
0
0
4
34
8
8
8
8
8
8
8
2
2
0
0
0
0
32
32
8
8
0
0
0
8
4
4
2
0
12
8
8
1
1
0
4
4
4
8
8
32
4
4
4
8
0
0
32
0
0
0
25
0
0
16
16
24
8
8
8
8
0
0
16
16
41
0
16
0
0
0
0
0
0
0
0
0
2
0
0
0
8
0
0
0
0
0
0
16
0
0
4
4
1
24
0
0
8
8
8
16
16
0
22
0
32
0
8
0
25
4
4
8
4
4
0
0
0
1
0
1
1
1
5
5
0
16
0
34
34
1
1
16
2
8
0
0
0
0
0
0
0
0
0
0
4
4
4
0
0
0
2
16
0
18
16
4
61
20
0
0
0
0
0
0
8
8
12
0
0
56
56
22
22
22
6
3
3
1
6
6
16
16
24
25
0
32
4
16
16
16
16
8
0
12
0
12
12
16
0
0
0
0
16
16
0
16
0
0
12
12
8
16
8
8
8
8
0
8
8
2
4
4
4
0
0
8
8
12
0
8
0
4
0
10
0
0
0
0
16
8
8
24
0
0
9
9
24
24
0
0
8
8
8
0
0
0
0
0
16
8
32
5
8
8
8
8
1
0
0
4
4
4
16
0
0
8
0
0
20
0
1
1
8
8
4
0
0
20
0
0
0
8
16
18
4
16
0
16
0
8
0
16
32
8
24
24
0
0
0
1
1
1
1
0
0
1
24
24
4
14
0
0
0
1
0
0
16
16
0
0
0
0
0
4
4
4
4
4
8
8
8
8
8
0
0
16
8
8
8
0
0
0
0
0
19
0
0
12
8
16
16
0
0
4
18
18
18
0
0
8
8
8
1
0
0
0
0
0
0
0
0
0
16
16
0
0
8
8
1
0
0
58
16
16
16
16
16
4
0
4
4
8
8
8
8
8
8
0
0
0
8
4
2
2
0
8
8
0
0
8
8
16
16
16
0
30
8
0
0
2
2
2
2
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
8
12
8
17
17
0
0
0
8
8
8
10
5
0
1
8
8
0
0
8
8
8
0
0
8
3
3
3
0
0
0
0
8
8
8
8
8
8
8
8
0
24
24
24
24
8
0
8
8
0
0
0
8
16
16
16
25
28
4
0
0
0
0
0
0
0
16
0
0
8
8
8
8
13
13
13
13
0
0
0
0
0
4
4
0
16
0
0
1
17
16
8
8
0
1
20
0
8
0
0
0
0
16
16
8
8
16
16
16
16
16
16
0
16
40
2
2
2
2
8
0
22
22
4
4
0
8
8
8
8
0
0
0
0
16
4
8
8
8
8
8
8
8
0
0
25
4
25
0
2
0
0
2
1
0
16
8
8
0
0
16
8
8
0
0
16
16
4
4
4
8
8
8
2
2
18
0
0
20
20
0
0
16
16
0
4
4
24
8
0
0
16
0
0
0
0
0
0
2
2
8
8
0
4
4
8
8
0
0
0
8
12
16
0
8
0
0
0
0
0
4
8
8
1
2
24
0
8
8
8
0
0
24
24
0
0
28
16
16
0
2
0
0
2
28
0
0
0
0
0
8
8
16
0
2
32
0
0
0
8
0
0
16
0
0
0
8
8
0
0
48
8
16
0
0
8
8
28
0
0
0
16
2
2
2
16
4
8
8
8
8
4
4
3
0
2
2
0
0
16
16
16
16
0
8
8
6
6
6
0
0
4
4
4
0
0
2
1
8
8
8
0
0
0
0
0
0
0
0
16
16
0
0
0
24
0
0
0
0
0
0
0
8
4
16
8
8
16
0
2
0
0
0
28
0
0
2
2
2
20
20
4
4
40
40
8
0
32
2
2
2
0
29
16
8
0
8
4
4
4
16
16
0
0
0
0
4
8
8
8
8
0
0
8
16
0
28
28
0
0
4
16
3
0
0
0
0
8
8
0
8
8
16
8
17
17
0
1
0
8
0
0
18
2
0
0
8
8
8
16
8
8
18
18
18
0
0
0
18
16
18
18
4
0
0
8
8
8
8
24
1
1
0
0
0
0
0
0
8
8
24
8
8
0
16
2
2
2
2
25
25
0
0
0
0
0
0
0
0
8
8
24
24
8
0
1
16
20
16
4
0
8
24
29
29
29
29
29
29
29
29
29
29
0
2
2
2
10
16
8
16
4
8
8
8
8
0
8
16
16
16
2
2
0
0
0
0
0
0
0
0
17
1
1
1
1
0
8
1
1
0
0
16
16
8
0
8
8
8
16
8
0
0
0
0
8
14
1
0
4
4
4
0
16
16
16
8
8
8
0
12
12
4
28
28
8
0
0
4
0
16
16
16
16
0
6
16
16
16
16
16
20
8
8
0
8
0
0
0
0
0
0
0
0
0
16
16
16
12
12
8
0
0
4
4
6
4
4
0
0
0
16
8
8
8
8
8
8
0
0
0
4
0
8
8
8
8
8
8
8
8
8
4
8
8
8
0
0
0
8
8
8
8
8
0
0
8
8
25
0
0
0
0
4
8
1
1
0
16
16
0
0
0
8
2
2
32
0
24
24
1
25
25
25
1
16
0
4
4
0
8
0
8
8
8
16
16
0
0
0
0
8
8
20
16
16
8
0
0
0
0
0
52
0
0
0
16
20
20
0
4
8
16
0
8
16
16
1
8
0
0
0
0
0
16
16
16
0
9
0
16
16
0
16
20
20
8
4
4
4
4
8
20
20
20
0
0
0
0
0
24
0
0
0
0
20
8
8
0
0
8
0
0
2
2
16
16
0
0
0
0
12
4
2
8
8
8
0
4
0
0
0
0
0
0
0
0
0
0
8
8
0
16
0
0
0
2
2
0
0
0
8
8
8
8
8
0
9
0
0
0
8
8
0
2
6
2
0
0
0
0
0
0
0
0
8
8
33
33
33
16
16
16
0
0
0
0
0
4
4
8
24
0
0
0
0
8
24
0
0
1
1
8
16
16
16
0
12
12
0
0
0
0
0
0
4
4
4
4
0
0
0
0
0
0
0
0
16
8
2
2
8
8
8
8
0
8
8
8
8
8
8
0
0
0
0
2
2
0
4
4
0
0
0
16
16
21
16
16
16
16
16
0
8
8
0
0
0
0
0
0
1
1
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
14
14
14
14
16
17
8
8
16
20
0
36
0
0
4
4
16
24
0
16
16
16
16
16
0
16
16
1
1
1
16
16
16
0
0
0
4
4
4
0
8
0
16
16
16
16
16
16
16
16
4
4
8
0
16
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
24
8
8
16
24
0
0
8
8
4
1
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
4
4
4
33
33
0
0
8
0
0
0
20
16
0
0
0
16
16
0
0
0
0
16
32
8
0
0
0
0
16
0
8
0
0
24
0
8
0
0
0
0
0
1
0
0
16
0
0
0
0
0
0
0
0
0
8
8
16
16
0
0
8
16
8
0
16
0
13
13
0
0
0
0
0
5
0
0
0
0
0
0
0
4
4
4
0
0
0
0
0
9
8
8
8
0
0
4
16
16
8
16
16
16
16
4
4
4
4
8
8
0
0
4
4
18
0
0
0
13
0
0
0
0
0
1
0
8
10
10
8
8
8
20
8
0
0
0
0
0
0
2
2
2
0
18
0
8
24
8
8
8
0
16
8
8
8
8
8
8
0
0
8
8
8
8
8
8
8
8
8
0
4
4
4
32
8
24
0
8
0
0
8
0
1
4
12
0
4
4
0
4
4
0
16
2
16
16
16
24
8
8
8
36
0
0
0
0
52
52
0
0
8
8
8
8
8
0
0
2
0
0
16
16
16
32
5
5
0
0
0
0
0
0
16
8
4
0
0
0
0
0
0
8
4
4
4
4
4
0
0
0
0
0
0
8
8
8
8
8
8
8
8
8
0
0
0
0
0
8
0
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
1
8
0
0
0
0
1
1
1
1
0
0
0
24
24
0
8
8
8
8
16
0
1
16
16
8
1
0
4
0
8
8
12
8
0
0
16
16
6
0
0
8
8
0
0
0
0
0
22
22
22
0
0
8
8
16
16
8
8
0
0
16
16
0
3
16
8
8
8
0
1
16
16
22
8
8
8
8
18
18
36
24
16
0
0
0
0
0
0
0
4
8
16
8
8
8
8
8
8
0
0
0
0
0
8
0
8
8
8
0
0
8
4
16
4
4
4
8
8
16
8
8
8
0
0
0
0
4
4
1
1
8
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
8
8
20
0
0
0
0
0
0
8
0
0
0
0
11
0
0
0
2
0
0
0
0
0
0
0
8
8
8
16
16
16
1
1
0
0
0
0
0
0
0
8
8
8
16
24
8
8
4
0
0
1
0
2
0
16
0
0
0
1
8
9
0
0
1
1
4
8
8
16
16
16
16
16
16
8
0
0
0
0
0
0
1
6
16
16
0
0
0
0
0
16
1
24
24
24
24
24
24
24
24
1
1
0
0
0
0
24
24
1
1
0
0
8
8
0
0
0
8
8
8
8
0
0
8
8
8
0
16
16
4
4
2
9
32
32
4
4
4
0
8
8
8
8
0
0
8
0
16
16
16
0
4
0
0
0
0
16
0
4
0
0
0
16
8
8
0
41
8
8
0
0
0
0
0
0
0
16
0
0
1
8
8
0
0
0
0
0
16
16
8
0
0
16
16
16
16
16
0
8
8
0
16
0
0
4
16
16
16
16
1
1
8
8
8
8
8
8
16
4
10
16
0
0
16
8
12
8
8
8
8
8
0
0
16
0
8
8
0
0
8
8
8
16
0
8
8
8
8
8
8
8
8
0
4
4
0
0
0
8
8
8
8
0
0
0
0
2
2
12
12
0
0
0
16
4
4
0
0
0
20
16
2
2
16
17
0
8
8
8
8
0
0
0
0
0
16
8
16
16
0
16
16
16
8
1
16
16
16
16
0
1
4
4
4
8
0
0
24
24
0
0
8
0
0
16
16
12
12
0
32
32
32
8
0
4
4
0
0
0
0
0
0
0
1
1
0
8
8
0
0
0
0
0
14
0
28
4
6
6
16
4
4
0
4
4
0
0
0
4
56
56
24
0
0
0
0
0
8
8
8
8
8
1
0
0
0
2
18
0
0
0
16
16
8
8
8
16
0
16
0
0
8
8
0
8
1
0
0
8
8
8
8
0
0
12
12
16
16
16
2
2
2
0
8
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
18
16
16
16
8
8
8
8
0
0
8
8
8
0
17
0
0
16
0
0
0
8
8
0
2
2
0
0
0
0
0
0
0
0
0
0
0
0
24
24
8
0
0
0
0
0
0
0
16
0
8
8
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
8
16
16
16
0
0
0
0
8
8
0
8
0
0
0
9
0
8
0
0
0
1
0
8
8
0
0
0
0
8
8
16
17
16
0
4
0
0
16
0
2
0
16
16
16
16
16
16
16
16
0
0
0
0
4
4
4
16
0
0
16
16
16
0
36
8
0
8
16
7
0
0
0
16
24
0
16
0
0
0
0
0
8
8
16
0
0
0
2
0
1
1
1
0
8
0
24
8
8
8
0
0
2
16
16
2
0
24
16
16
24
16
16
0
0
0
0
0
0
32
32
32
16
16
8
8
8
8
8
0
0
0
0
8
16
16
8
8
0
0
0
1
8
0
2
2
9
8
8
8
8
16
16
16
16
16
0
8
2
0
0
0
16
0
2
2
0
0
0
0
2
16
0
0
0
0
0
16
16
0
16
16
0
0
0
0
0
0
0
8
8
9
9
9
4
4
4
0
0
0
0
22
32
32
32
5
8
16
16
16
16
0
0
0
0
0
0
4
0
0
4
16
16
0
16
16
0
2
4
4
0
0
0
0
8
4
2
2
16
0
0
16
16
16
16
16
0
0
0
0
8
8
2
2
8
8
4
0
0
0
0
0
1
1
1
0
28
8
8
8
0
0
0
0
24
24
24
24
0
0
0
0
0
0
0
0
4
1
1
4
8
8
8
8
8
8
0
0
0
0
0
8
4
8
1
0
7
8
4
0
0
0
1
1
1
0
0
0
0
0
8
0
0
4
0
5
5
0
0
8
8
8
16
16
8
3
3
3
8
8
8
8
8
12
8
8
8
8
8
1
1
1
0
0
0
0
0
0
0
0
24
12
12
0
0
0
0
0
0
26
26
0
0
1
1
1
2
2
2
2
2
0
0
16
16
16
0
16
8
4
20
20
20
8
8
8
0
0
0
16
16
16
0
2
2
2
0
8
8
8
8
8
8
0
33
2
0
0
0
8
8
8
8
0
16
16
16
0
0
1
16
8
16
0
8
0
9
24
24
0
0
0
0
0
0
0
8
8
16
16
8
8
2
24
24
16
2
2
8
8
0
0
0
12
12
8
1
35
8
8
8
8
12
0
0
16
16
0
0
0
0
0
4
4
0
16
24
16
16
2
0
16
16
0
0
0
2
2
0
25
9
9
8
0
8
8
3
0
0
0
8
16
0
0
0
2
2
0
8
8
8
8
8
8
18
0
0
2
0
0
0
8
8
8
2
2
0
4
0
0
2
8
16
16
0
0
8
8
8
8
0
0
4
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
8
8
8
20
20
4
16
8
16
16
1
1
4
0
16
16
0
0
0
16
16
8
0
0
0
0
24
24
24
24
2
2
4
2
2
0
0
0
0
0
0
0
0
0
18
0
4
8
0
16
0
0
32
8
8
8
1
0
0
8
8
8
8
0
0
0
2
2
0
28
0
2
2
0
0
16
24
16
8
8
8
16
0
0
0
0
0
0
0
0
0
24
0
4
4
0
0
7
0
0
8
8
8
8
8
8
8
0
0
0
0
0
8
0
0
32
1
1
1
8
8
0
0
8
0
0
8
0
0
0
0
3
3
0
16
0
0
0
0
0
0
0
0
0
8
8
0
2
2
2
16
0
0
29
13
0
8
1
8
8
32
32
0
2
2
0
0
8
24
8
8
16
0
0
10
8
8
16
16
0
0
0
0
16
0
4
4
0
29
0
12
8
12
17
6
6
0
0
0
0
0
4
4
4
4
16
0
16
0
0
0
0
0
0
8
0
0
0
16
0
21
0
0
1
0
0
0
4
4
4
0
8
8
0
0
0
0
0
0
1
1
16
16
16
16
0
0
0
1
1
8
0
0
0
8
8
0
0
0
0
0
0
0
4
4
32
11
11
11
24
24
8
8
8
8
0
0
0
12
0
16
8
8
8
8
8
8
0
0
0
0
0
4
8
8
0
16
0
0
0
1
16
16
33
0
0
16
0
16
4
16
16
16
8
8
8
4
4
4
4
0
0
16
16
0
0
0
16
16
16
0
16
0
4
4
16
16
16
8
8
8
0
0
0
0
0
0
0
0
32
0
0
0
10
4
0
0
0
16
16
16
16
0
0
0
0
0
0
0
0
0
0
16
16
16
32
2
4
9
0
0
0
0
8
8
8
8
8
1
1
0
1
1
0
0
1
0
0
20
20
0
24
0
0
0
0
16
0
0
16
16
8
25
0
0
16
16
0
0
0
8
4
0
0
0
0
0
0
16
16
0
16
0
24
8
0
0
0
4
4
4
0
0
0
0
8
4
4
0
0
4
4
4
4
0
24
18
0
0
0
0
0
16
0
16
16
16
8
8
8
16
26
0
0
0
16
21
21
4
32
16
16
16
16
4
0
0
0
8
8
0
1
34
34
34
6
0
4
16
16
16
24
4
0
0
8
8
32
32
0
4
1
0
8
1
1
16
16
0
8
4
4
0
0
8
4
4
4
0
16
16
1
0
0
0
0
0
8
8
8
0
0
0
24
24
16
16
17
8
8
0
0
0
0
0
8
8
8
8
17
9
9
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
16
19
0
16
16
2
2
2
4
4
12
0
8
8
8
8
8
8
0
1
0
0
0
0
0
0
27
8
16
8
8
0
0
4
4
4
4
8
8
8
8
8
16
0
32
0
0
0
0
0
10
10
8
1
1
1
1
1
4
8
4
12
8
12
0
0
4
4
4
0
16
16
0
0
0
56
8
8
8
0
18
18
18
0
0
8
4
4
4
16
16
0
0
0
10
16
16
8
0
16
0
0
0
10
8
0
16
8
4
13
1
4
11
8
1
8
0
0
0
0
0
16
1
1
0
0
0
8
8
2
17
16
16
16
16
0
0
0
4
4
38
38
38
0
0
0
0
4
8
8
12
12
12
0
0
0
0
33
33
26
8
9
8
0
16
16
16
16
16
8
8
0
0
28
28
8
8
8
1
8
8
8
0
0
0
8
13
16
0
0
0
0
8
8
0
0
18
16
16
0
4
16
16
16
16
0
0
16
4
0
0
8
8
9
9
20
2
2
0
16
1
3
3
0
0
36
1
8
0
12
12
4
4
0
0
0
13
60
8
8
8
8
8
8
8
8
0
0
0
16
16
17
17
0
0
8
4
0
4
4
4
4
0
2
4
4
4
0
16
16
16
16
16
0
0
0
4
0
0
4
0
8
9
1
0
0
8
8
8
0
4
4
8
8
4
4
24
17
0
16
16
32
32
32
0
2
0
0
48
48
20
4
18
2
2
0
4
32
13
25
9
9
0
0
24
16
0
0
0
4
0
0
0
0
16
16
16
16
0
8
8
8
8
18
0
0
32
32
32
4
4
16
24
0
0
0
0
1
1
0
0
0
2
2
16
16
2
2
2
0
6
6
6
2
2
2
2
8
2
0
9
0
8
8
8
0
0
4
4
24
0
8
50
0
0
0
0
0
0
0
16
16
8
8
0
0
16
8
16
0
0
0
32
8
8
8
8
8
0
4
0
0
0
8
8
24
10
10
10
8
16
0
2
2
2
2
2
0
4
0
16
1
8
8
8
11
0
0
0
0
16
0
4
4
16
0
0
0
0
8
0
0
4
8
8
8
8
16
16
16
16
16
20
12
12
0
0
0
1
4
1
8
8
8
0
8
8
8
8
8
8
0
8
8
0
0
24
24
0
1
4
4
0
12
12
8
8
8
8
8
0
0
0
16
0
0
0
8
4
2
2
0
0
0
0
0
16
0
0
0
16
0
4
0
0
32
0
8
0
2
2
20
0
0
35
8
16
0
0
0
17
2
16
16
16
0
16
16
10
2
0
8
8
8
8
0
0
0
0
16
0
25
25
2
2
8
0
0
0
16
0
32
32
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
8
8
8
0
8
8
0
0
0
0
0
0
8
0
8
8
8
0
20
0
0
0
0
0
0
0
8
8
8
8
8
16
16
0
0
8
8
8
2
16
16
16
16
24
24
0
0
0
0
0
16
0
0
0
0
1
1
8
4
9
16
24
0
4
4
4
4
8
8
16
0
0
44
16
0
60
8
0
0
0
0
1
0
18
18
8
24
16
16
8
0
0
16
16
0
0
0
8
8
0
0
0
16
16
0
12
0
0
8
8
4
2
2
2
2
0
0
0
0
0
8
0
0
0
0
18
18
18
18
6
0
1
0
0
0
16
8
8
8
8
8
8
8
8
0
0
0
0
0
0
16
11
11
11
62
0
8
8
16
3
0
0
0
0
0
12
8
0
0
0
0
0
3
8
8
0
8
0
0
0
0
0
0
0
16
16
16
16
16
8
8
0
32
0
8
8
0
20
4
4
4
4
4
16
16
8
0
0
0
8
16
32
0
0
24
0
0
0
0
0
0
32
32
32
8
8
0
8
8
8
8
0
0
0
8
0
0
0
0
0
40
40
0
8
0
8
7
12
8
1
32
4
16
4
8
8
8
24
0
2
12
16
16
0
0
8
8
0
0
16
0
0
0
8
8
8
24
58
16
8
8
4
4
8
8
0
0
0
16
16
0
0
8
0
0
0
0
4
4
16
16
16
16
0
8
8
8
16
8
8
8
8
8
0
0
0
8
0
4
8
0
2
2
4
4
4
0
2
8
0
0
0
20
8
8
8
24
0
0
16
0
0
24
24
10
10
8
8
0
0
0
1
1
1
1
24
0
30
8
2
2
4
4
4
0
0
1
32
24
24
16
8
8
4
0
0
0
0
16
0
0
0
4
16
16
0
49
16
16
16
8
2
0
0
0
0
0
0
0
0
8
0
0
0
0
32
32
16
16
16
12
28
0
9
0
0
4
4
16
26
26
20
0
0
0
8
16
16
18
26
18
16
0
0
2
2
0
6
6
8
2
2
16
8
8
8
8
0
0
0
0
0
0
16
8
8
8
1
0
0
1
1
8
0
0
0
0
16
17
16
16
0
0
0
0
0
8
8
8
16
8
8
8
8
8
8
8
16
16
8
16
16
0
12
0
0
0
0
6
2
0
0
40
8
8
8
1
1
4
4
16
16
16
16
16
16
16
0
0
0
0
0
0
0
0
0
12
32
32
0
0
16
16
16
16
16
8
2
16
16
8
8
2
10
16
0
0
32
16
16
0
0
20
24
6
8
8
8
16
8
4
4
0
4
0
0
0
0
0
0
0
0
0
8
8
8
0
16
8
24
8
8
0
16
3
3
3
0
0
0
32
16
0
0
32
8
8
0
0
16
8
9
8
8
8
8
8
8
0
8
8
8
0
8
12
12
2
0
0
8
8
8
16
1
8
8
8
6
8
16
0
0
0
16
16
1
1
0
4
0
24
8
0
2
0
0
0
0
0
0
0
0
0
0
0
16
2
2
0
28
28
28
17
0
0
0
0
0
0
0
0
0
0
0
4
4
0
0
16
16
0
0
0
0
8
12
8
0
4
4
0
0
0
16
10
0
16
16
24
8
8
4
21
0
4
4
0
0
4
4
4
24
24
0
4
4
4
0
0
8
0
0
0
20
0
24
8
8
0
0
0
8
2
0
4
4
0
0
0
4
4
0
0
0
0
0
0
0
0
0
0
0
16
16
33
0
0
0
0
8
0
0
8
8
8
8
8
8
2
8
8
8
0
16
16
0
0
16
24
8
1
16
0
8
8
8
0
0
0
8
16
16
0
8
8
8
8
8
8
8
2
2
2
0
20
0
48
32
0
0
0
16
20
16
8
8
8
8
8
0
0
0
4
4
0
16
16
16
0
4
8
12
12
0
0
0
0
0
18
8
0
0
0
0
0
0
0
0
0
8
8
0
32
16
0
2
20
20
16
16
1
1
0
0
0
4
8
8
49
49
0
8
0
0
0
0
16
16
8
8
8
8
0
8
8
8
0
0
32
32
1
1
8
8
0
0
20
4
4
4
8
8
8
8
8
62
2
0
0
0
8
0
0
16
18
1
1
0
8
0
0
8
18
18
18
0
8
8
8
8
0
16
16
8
1
1
1
8
8
11
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
8
8
31
31
0
8
8
0
0
16
16
0
0
0
1
1
0
0
0
4
4
8
8
0
0
0
0
0
0
0
2
2
0
4
4
0
0
4
8
8
16
4
0
0
0
4
4
0
0
0
0
0
0
16
16
16
0
0
16
0
0
0
0
16
16
20
20
32
8
8
8
0
16
16
16
0
24
28
24
16
16
16
16
0
0
0
0
16
0
8
0
0
0
0
8
0
0
0
0
4
4
8
2
2
0
4
24
24
8
8
0
0
32
0
29
29
29
29
29
29
4
0
24
24
0
0
0
1
0
0
0
0
0
0
2
0
1
0
0
8
12
8
0
12
16
0
0
0
0
0
4
16
0
1
0
0
8
8
0
1
1
1
0
0
48
0
0
0
0
0
0
0
0
8
0
0
0
2
8
8
8
16
16
16
20
0
6
4
1
0
0
0
0
20
0
8
8
2
16
16
16
0
0
8
2
2
0
18
18
18
16
16
16
16
16
16
16
16
16
48
0
0
0
16
0
8
8
8
16
32
21
4
4
0
8
18
0
8
8
8
0
8
0
4
4
4
4
4
8
4
32
4
4
4
4
0
0
0
16
16
16
16
2
2
2
0
0
0
0
0
0
0
8
7
7
0
0
16
16
32
16
16
18
18
8
8
8
8
8
8
0
8
8
8
0
4
12
0
0
0
4
1
1
1
1
0
0
0
8
0
0
2
0
0
8
8
20
20
0
0
0
8
0
8
0
0
0
16
16
0
8
8
0
8
8
8
16
16
8
8
16
17
16
8
18
0
8
2
2
2
2
2
2
8
8
8
8
8
8
8
8
8
0
0
8
18
18
0
8
0
16
41
0
0
0
8
16
8
8
32
32
0
0
0
0
0
4
4
0
0
8
1
8
8
16
2
1
1
1
16
6
2
8
8
0
0
0
16
24
24
0
16
12
12
8
8
0
0
0
8
24
0
0
2
16
0
8
8
0
1
8
8
0
8
8
0
17
2
0
4
16
0
4
4
0
16
0
0
4
0
0
24
24
1
8
0
0
0
0
0
0
0
3
11
2
8
8
8
0
48
0
0
0
0
0
24
0
0
0
0
0
0
16
0
4
0
0
0
1
8
0
0
0
0
0
0
8
8
8
8
1
0
8
16
0
16
8
16
0
0
12
12
8
2
4
16
0
4
4
0
0
0
16
0
0
8
8
0
0
16
8
0
4
1
4
4
0
16
16
16
8
8
8
16
0
8
16
16
0
16
0
0
4
4
2
2
0
0
8
8
0
0
0
0
0
21
21
16
8
8
4
16
16
16
16
0
0
1
1
1
2
12
0
0
0
0
0
24
24
0
0
0
0
4
0
4
18
0
16
2
6
4
0
0
0
2
2
0
4
4
4
0
16
0
16
0
0
0
20
20
20
8
0
0
8
16
16
8
0
16
16
4
4
4
4
4
6
4
20
4
4
4
8
16
8
8
0
0
0
0
0
8
0
0
8
8
8
0
0
0
0
4
0
0
4
0
0
0
2
40
16
0
16
0
0
0
0
24
0
0
0
0
0
0
0
0
0
16
16
16
0
1
0
8
0
0
0
8
0
0
0
1
0
0
0
0
8
4
4
4
4
6
8
8
8
8
12
8
8
8
8
8
8
8
2
2
2
0
2
8
20
8
16
16
0
4
0
1
1
1
0
0
0
0
0
0
0
4
8
0
24
40
8
1
0
0
0
0
0
8
16
16
8
8
8
8
16
16
16
16
16
24
24
24
0
0
8
8
0
0
0
0
8
0
8
16
0
8
8
2
16
8
0
8
8
0
0
0
12
0
0
24
8
8
0
0
33
8
8
1
1
0
0
0
9
9
0
0
1
1
16
16
16
16
1
2
2
8
0
1
1
4
4
4
4
0
0
0
12
12
0
0
0
17
0
0
16
16
16
16
0
2
2
0
0
0
38
4
8
8
0
0
24
8
16
16
16
4
4
4
4
4
0
0
0
2
0
8
16
0
0
20
20
0
8
8
0
0
0
0
0
1
1
8
16
16
0
8
16
25
16
16
4
0
0
0
9
9
8
8
8
4
16
0
0
0
0
16
16
16
16
24
0
0
0
0
8
0
0
0
22
22
22
0
0
0
4
0
16
16
0
0
16
8
8
0
0
0
2
2
16
0
8
0
0
0
8
8
8
8
9
8
8
0
8
0
0
8
8
0
4
4
25
16
8
8
0
8
16
16
2
2
24
24
24
0
0
20
16
0
0
0
8
8
0
4
4
8
8
8
0
8
0
0
20
16
4
24
0
0
0
0
1
24
8
16
16
0
18
16
0
4
8
16
0
0
0
0
0
0
4
1
8
16
0
0
0
0
0
0
8
8
0
4
4
0
0
0
0
0
0
32
0
8
0
8
8
8
0
0
0
2
0
0
8
0
0
8
0
2
0
8
8
0
0
0
8
0
0
0
24
8
8
0
0
0
16
16
0
0
0
0
0
8
0
0
0
16
8
0
16
0
0
16
16
0
24
0
0
4
0
4
16
20
20
2
2
2
0
8
8
8
0
0
16
16
0
0
16
16
0
0
0
0
0
0
2
2
0
0
1
4
54
32
32
0
8
0
0
0
0
16
0
2
6
0
0
8
8
8
0
0
0
0
0
0
4
0
0
0
0
0
0
8
0
1
8
8
8
8
1
8
8
8
0
2
2
8
8
8
8
0
0
8
8
4
4
4
4
4
0
18
0
0
2
16
18
8
8
8
8
0
16
0
0
32
0
8
8
0
0
0
0
1
2
0
20
4
0
0
8
0
16
16
1
0
0
24
0
32
8
8
8
8
1
1
8
8
8
0
0
0
8
8
19
0
4
0
0
0
1
0
8
8
8
8
0
26
0
0
0
0
0
0
0
8
0
0
0
0
24
24
27
0
0
8
8
8
1
8
8
8
8
0
0
0
16
16
6
6
6
6
0
8
0
0
34
34
0
0
0
0
8
8
1
8
8
8
0
0
0
20
16
0
16
0
0
2
4
24
24
4
20
16
0
0
16
8
8
0
1
8
0
0
0
4
4
24
4
4
0
8
8
0
0
0
0
0
24
8
0
0
0
0
0
4
4
8
0
0
16
1
1
0
1
1
0
24
24
0
0
0
18
2
0
16
4
48
2
2
16
0
0
4
4
4
0
0
0
1
1
0
0
0
0
16
8
20
24
24
0
8
0
8
0
8
8
0
0
18
22
22
22
0
0
0
8
4
8
24
16
8
0
16
18
18
16
2
2
2
16
6
16
0
16
16
16
16
8
8
8
8
8
8
1
1
20
16
0
0
0
8
1
0
0
0
24
16
8
20
20
20
20
0
8
8
8
8
0
0
6
8
8
6
6
0
4
4
4
0
0
0
0
0
0
0
0
8
8
32
32
0
0
0
0
0
0
0
0
2
0
0
16
0
0
0
0
0
0
32
0
1
1
0
0
0
0
0
0
0
0
8
0
2
2
2
2
2
0
8
8
1
1
8
8
8
8
2
16
0
16
0
0
0
0
17
0
16
1
0
0
4
0
2
12
4
4
8
8
8
8
8
8
24
0
16
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
8
8
0
0
0
0
0
0
0
0
25
4
16
16
16
0
4
0
0
0
2
18
8
0
0
16
0
0
0
0
16
0
16
0
24
8
0
0
1
16
2
2
2
0
8
0
16
16
0
1
1
1
8
8
8
0
0
0
50
4
4
8
8
8
0
0
0
8
1
9
8
8
0
16
26
16
16
16
0
0
0
24
0
0
0
0
0
21
21
16
0
0
0
0
8
17
1
0
16
16
17
0
0
0
0
0
0
16
16
0
0
16
16
0
9
16
0
0
0
16
0
16
0
1
0
0
8
8
0
8
16
8
8
2
5
5
16
8
26
8
0
0
0
12
1
8
8
8
8
8
8
2
2
2
0
8
0
0
8
8
8
8
0
0
0
0
0
0
0
0
0
16
16
0
20
16
16
0
0
0
58
58
0
16
16
24
0
8
0
0
0
0
0
0
0
8
8
2
8
8
12
20
8
0
8
4
0
16
8
8
8
8
8
0
0
0
0
0
0
0
0
4
8
32
0
12
16
16
0
0
0
0
0
0
4
4
4
4
0
2
4
0
0
16
16
16
16
8
0
0
0
20
32
0
16
16
0
16
16
0
0
0
8
0
4
4
20
4
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
20
20
32
16
16
16
0
0
2
2
0
4
0
0
0
16
16
16
34
8
8
5
5
8
8
0
4
16
16
16
16
16
16
17
0
0
2
3
0
8
8
0
16
48
16
16
16
8
12
8
16
16
16
4
0
0
8
0
8
1
0
0
0
0
0
0
0
0
4
0
0
0
8
0
0
8
0
0
9
1
0
0
0
14
8
8
4
8
0
16
16
8
8
8
8
8
8
0
0
0
28
28
10
0
32
16
16
24
8
1
1
0
0
0
16
16
16
16
16
16
0
0
1
2
2
0
0
7
24
16
0
0
8
20
25
25
16
0
0
48
48
36
0
8
16
18
16
0
8
24
0
0
4
8
8
8
0
0
0
18
2
2
0
0
0
0
0
0
0
1
0
4
16
16
16
0
8
16
1
8
2
2
0
0
1
9
0
4
32
8
8
8
8
8
1
1
4
8
4
20
4
4
30
0
0
0
32
0
8
8
8
8
0
25
25
25
8
16
8
3
8
8
8
8
8
0
12
8
8
8
0
8
0
16
0
0
16
0
1
1
0
0
20
8
0
0
0
0
0
4
0
32
0
0
0
8
16
16
0
8
8
8
24
16
16
0
0
0
0
0
0
0
0
0
0
8
8
8
8
24
8
8
8
8
8
16
24
8
0
16
0
0
0
0
0
0
8
8
8
4
4
0
0
0
0
0
0
0
0
16
20
4
0
0
0
24
0
0
0
17
2
16
16
1
1
1
4
0
0
0
0
8
0
0
0
0
0
16
8
8
0
0
8
8
8
8
0
28
4
0
0
32
16
2
16
32
0
0
8
1
1
8
8
0
0
0
0
17
16
8
8
8
0
16
8
8
8
0
8
8
8
16
16
8
8
8
8
8
8
8
8
0
26
24
0
0
0
0
0
16
8
17
1
0
0
26
26
8
8
8
0
8
16
8
0
0
0
0
16
16
16
12
12
8
8
8
8
8
1
16
0
8
0
28
16
16
0
1
1
17
0
8
8
0
17
32
0
0
17
17
17
43
43
43
0
8
8
0
0
0
0
0
8
8
8
0
20
20
16
16
0
0
0
0
0
0
8
8
0
0
2
2
4
18
0
24
24
8
8
8
2
2
3
16
16
32
32
32
32
32
0
0
8
8
0
0
0
1
0
8
8
0
0
0
0
0
16
2
8
2
2
2
2
0
0
0
0
0
0
0
0
0
8
4
8
8
8
8
8
8
0
0
0
0
0
0
18
16
0
0
8
8
0
0
0
0
16
4
0
0
8
8
8
8
8
8
8
8
8
8
8
0
8
8
0
16
16
16
16
0
0
0
1
8
8
8
8
1
0
0
0
0
0
0
8
16
8
20
0
0
0
8
8
0
1
17
0
16
16
0
0
16
2
16
16
16
16
0
0
0
0
2
2
1
1
1
0
0
1
1
0
16
16
16
0
44
0
0
33
33
0
0
0
4
4
12
0
16
18
0
8
26
0
0
0
9
1
13
5
1
0
0
0
0
0
0
1
1
53
0
0
0
6
16
8
8
8
16
16
16
0
0
0
0
4
4
4
1
25
1
1
1
1
0
0
0
8
1
4
0
0
0
0
0
0
0
18
32
0
4
4
4
16
8
0
0
8
8
0
0
0
0
19
19
16
16
0
0
12
12
0
0
0
0
0
16
16
8
8
19
19
19
6
6
6
32
32
0
0
0
4
0
1
1
8
8
0
16
16
16
16
16
8
0
58
58
0
24
0
21
16
16
16
0
48
32
0
0
48
0
8
0
36
4
0
0
0
0
0
8
8
8
8
8
0
4
4
1
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
8
0
16
0
0
16
4
4
0
0
1
1
8
8
0
8
8
8
8
16
16
16
16
2
0
4
4
4
8
8
0
0
0
0
8
8
2
1
0
0
0
0
16
16
8
4
16
16
0
0
0
9
0
0
16
16
0
0
0
0
0
0
0
0
0
20
1
8
8
0
8
16
16
0
0
0
0
17
2
2
2
2
2
4
4
8
0
16
1
0
0
0
0
8
0
0
0
0
8
8
8
8
0
0
0
0
0
0
1
0
0
0
2
0
0
16
0
4
0
0
8
24
16
0
0
0
0
16
8
2
24
4
4
4
4
0
8
0
0
20
28
0
0
0
8
0
0
0
4
12
8
8
8
0
0
4
8
16
16
16
16
0
2
2
22
0
8
16
16
1
0
24
0
0
0
0
0
0
0
12
4
20
16
8
8
5
5
0
32
4
4
16
48
6
8
16
16
2
2
2
2
2
0
0
0
0
8
8
8
8
0
0
4
0
16
16
0
0
35
0
4
0
0
0
8
8
8
8
8
0
0
12
12
16
16
0
0
0
0
0
8
4
0
24
24
24
24
24
8
8
8
17
0
0
0
20
8
20
4
0
0
0
0
16
3
3
8
0
0
0
18
0
0
0
0
8
16
2
0
4
4
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
8
0
16
4
16
16
16
16
39
39
0
0
0
16
0
9
0
2
2
0
0
0
0
12
12
12
0
0
0
26
0
0
8
8
8
8
0
16
8
8
0
0
8
4
4
0
2
2
2
2
0
0
1
1
1
1
0
0
0
0
8
8
0
0
9
8
8
8
0
12
2
8
0
16
16
0
8
8
8
8
8
0
0
0
0
0
1
8
8
8
0
4
8
16
24
0
2
2
8
8
16
4
4
0
20
20
48
0
0
0
0
16
8
16
16
16
4
4
4
4
16
16
0
16
16
8
26
0
0
1
8
8
2
8
0
0
4
8
0
16
4
4
8
0
4
4
0
0
0
8
8
4
0
0
0
1
16
0
0
0
9
0
0
1
8
0
0
1
1
16
16
0
0
0
0
12
16
8
8
25
25
0
0
0
8
0
16
0
0
1
1
1
0
0
0
0
0
2
16
0
0
16
16
16
8
8
0
8
0
0
1
22
2
2
0
8
24
8
8
8
16
16
8
8
0
16
16
16
16
16
4
0
16
16
0
48
0
0
0
0
0
16
0
2
2
0
0
16
16
0
0
0
16
0
0
0
0
2
2
2
2
2
1
1
1
1
1
1
1
2
2
16
0
0
0
8
8
8
32
0
0
0
16
0
4
0
0
32
0
1
1
1
0
0
20
4
4
8
0
0
0
1
2
2
2
0
0
0
32
32
8
12
0
16
16
16
0
0
0
18
26
4
0
16
20
20
20
20
4
4
0
0
0
0
16
16
8
2
16
8
8
8
8
8
16
1
16
16
16
0
8
4
8
8
0
8
8
0
8
0
16
16
16
4
0
8
0
0
16
0
0
0
4
4
24
32
16
16
0
0
0
0
1
4
4
4
0
0
8
8
8
0
8
0
0
8
8
0
0
0
0
0
1
1
4
4
20
57
8
0
32
32
0
8
8
0
11
3
0
8
8
8
8
8
0
0
0
0
0
0
0
0
4
8
8
8
0
0
0
0
4
4
1
1
33
33
33
0
0
0
0
28
8
1
0
0
8
8
16
21
21
8
16
8
0
0
8
8
8
0
0
8
8
8
8
8
8
8
0
0
0
0
0
0
8
16
8
8
0
0
8
4
42
42
0
4
0
0
1
0
0
0
0
24
0
8
0
4
0
34
0
8
16
0
2
4
40
0
4
0
0
8
24
24
0
4
4
0
0
0
16
16
0
1
0
1
1
6
12
8
8
8
0
0
2
2
0
0
32
0
0
8
0
0
8
24
0
0
0
0
0
0
0
0
0
16
16
16
16
8
0
0
0
4
4
4
0
16
16
8
0
4
16
0
4
4
4
8
8
0
0
0
8
8
0
2
0
0
0
8
0
2
0
25
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
0
0
0
8
8
8
0
0
0
4
0
0
0
8
8
25
25
8
8
8
0
0
8
8
8
16
16
2
8
8
8
0
0
1
8
0
0
0
2
2
0
0
16
16
8
8
0
8
8
0
8
4
0
8
8
8
0
0
24
24
0
0
0
16
16
0
0
0
0
0
16
2
2
16
16
16
0
8
8
8
8
8
0
0
0
0
0
16
0
0
8
8
8
8
8
0
2
2
9
0
0
0
16
16
1
0
0
0
4
4
4
0
0
0
0
0
0
0
0
8
0
0
25
25
25
8
0
0
0
0
8
0
2
2
2
0
0
8
8
8
4
8
8
16
2
12
0
8
8
8
0
0
0
1
1
1
0
0
0
4
4
4
4
0
0
0
28
28
8
28
28
0
0
4
16
0
0
0
10
10
0
0
6
16
16
16
0
0
8
18
18
8
20
0
0
0
8
8
4
4
0
0
0
0
1
1
1
6
8
8
24
0
0
0
0
0
1
1
0
0
8
8
0
4
0
0
8
0
24
0
0
0
8
16
16
0
0
0
0
0
8
0
24
0
0
16
16
0
8
16
0
8
8
0
8
8
8
0
0
0
8
0
0
0
8
4
0
0
16
8
0
8
8
0
0
0
0
0
0
0
8
0
9
8
12
12
12
12
0
0
0
16
0
4
4
0
18
18
0
0
0
0
0
0
0
0
0
0
3
3
3
3
0
0
0
0
0
0
20
0
4
4
4
8
0
0
1
0
8
8
8
8
8
0
0
0
0
18
18
0
0
0
8
10
0
0
0
0
0
0
0
8
8
8
0
1
0
8
8
12
8
8
4
0
0
2
0
8
0
0
5
0
0
18
18
12
12
12
8
32
8
4
4
0
0
0
0
16
16
0
10
10
24
16
0
24
0
6
2
0
4
16
28
0
0
16
8
0
0
6
6
0
4
4
4
16
24
8
16
0
4
4
6
24
24
24
24
0
0
0
0
0
8
16
2
2
0
8
4
4
4
1
11
27
11
0
24
0
24
24
24
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
1
0
0
6
8
8
8
8
4
0
0
2
0
24
24
0
0
4
0
0
36
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
8
24
0
0
8
0
0
0
0
8
1
5
0
8
8
8
0
0
0
0
0
0
0
0
8
8
0
18
18
4
8
33
2
2
2
2
8
0
8
8
8
8
16
4
4
4
4
4
0
0
0
0
0
0
16
16
0
0
0
0
0
0
8
8
16
8
0
1
1
1
3
16
16
24
24
9
8
8
8
8
16
0
24
24
16
16
8
8
8
8
8
8
16
16
0
0
0
0
0
0
0
0
10
10
8
8
0
0
0
0
16
0
1
1
0
0
0
0
0
0
17
17
4
0
17
17
17
17
4
4
8
1
0
0
0
0
8
8
24
0
8
8
0
16
16
1
12
0
0
8
16
0
0
0
4
4
4
16
4
4
4
4
4
4
8
8
0
1
1
5
5
0
0
16
62
16
16
16
8
20
20
4
1
1
20
16
24
0
0
0
0
0
4
4
20
11
2
0
0
0
16
16
24
16
16
16
16
0
16
16
16
16
2
2
4
4
0
16
0
4
2
2
2
8
8
8
8
16
32
0
16
16
16
9
0
0
8
8
0
8
8
4
0
0
0
0
8
8
24
8
0
2
2
8
8
8
16
16
0
24
8
0
0
0
0
0
0
0
16
0
0
0
0
0
8
16
16
0
0
2
0
0
0
0
0
16
0
0
0
8
1
16
16
6
0
0
0
0
0
0
0
0
0
8
16
0
0
2
0
0
0
8
0
0
0
0
0
0
0
16
16
8
8
8
8
0
0
0
0
0
0
0
0
16
0
8
1
37
24
24
0
0
0
0
8
9
8
8
0
0
20
0
0
20
0
0
0
8
8
0
0
16
0
8
16
16
0
0
34
34
34
1
1
1
1
8
8
8
0
0
32
0
10
8
1
16
16
16
0
0
0
1
2
10
4
0
16
0
0
1
0
0
8
8
8
8
8
0
0
0
0
2
48
0
48
54
18
8
2
2
8
0
10
0
0
0
8
4
4
4
0
0
8
8
8
8
1
1
0
0
8
0
0
0
18
2
16
16
0
0
0
2
0
0
0
0
8
36
36
24
24
0
8
8
8
0
0
0
0
0
16
16
0
0
0
12
0
0
17
8
16
8
8
0
0
0
8
8
8
0
0
0
0
0
1
1
0
0
0
17
0
1
1
2
1
0
8
20
20
20
0
0
16
16
0
0
0
0
0
8
4
4
4
4
16
0
16
16
16
1
12
16
6
6
6
0
0
4
4
20
20
20
4
0
0
0
0
0
2
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
16
8
0
16
0
0
0
0
0
0
0
0
0
0
8
0
0
0
32
32
0
24
24
0
24
24
0
0
18
2
2
0
0
18
18
0
0
0
1
0
8
16
16
16
0
0
8
8
8
0
8
12
12
0
0
1
0
0
0
16
16
32
24
0
0
0
0
8
0
24
8
8
0
22
22
5
5
8
0
0
0
32
0
0
0
0
0
4
4
0
16
0
0
1
1
16
0
8
8
8
8
0
0
8
8
0
4
18
0
16
16
16
0
0
16
8
8
8
8
0
0
4
0
16
0
0
0
8
8
5
5
2
2
0
0
0
0
8
8
11
48
16
16
16
0
0
0
0
8
8
0
8
0
0
0
16
0
16
20
16
8
0
0
4
0
0
0
0
0
24
24
4
1
1
1
2
2
0
0
2
0
0
16
16
16
16
0
8
8
0
0
0
32
0
17
0
16
16
0
0
0
0
0
0
0
2
2
1
1
45
16
16
0
8
8
1
1
1
0
0
0
0
0
0
0
8
0
0
0
0
0
0
4
4
8
24
8
42
10
8
24
0
0
0
0
0
16
2
0
0
0
0
0
4
0
32
0
0
0
12
1
1
1
0
0
16
0
0
16
16
24
24
20
20
0
8
0
0
0
8
8
8
8
0
0
2
8
16
16
40
40
0
26
34
8
8
8
0
1
16
0
0
16
16
1
8
16
16
16
0
0
0
0
0
0
0
0
0
0
4
1
0
8
4
4
0
1
1
0
16
16
4
4
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
8
0
0
0
1
0
8
8
0
0
0
0
10
10
0
0
24
0
0
0
0
25
8
1
0
0
0
0
16
0
2
2
2
2
2
1
0
0
0
0
0
0
6
6
0
0
40
40
40
8
0
0
0
0
8
1
8
16
0
0
0
0
0
0
4
0
0
16
25
25
8
8
8
8
16
0
16
0
0
8
8
32
32
8
8
8
0
0
16
0
0
0
0
16
16
0
0
0
4
4
8
8
0
16
16
4
4
2
0
0
0
1
1
0
4
4
16
4
16
55
0
0
24
24
0
8
8
8
0
8
8
0
4
0
0
0
24
16
16
16
0
1
0
0
0
0
0
0
0
2
0
0
0
0
0
0
8
0
0
16
16
0
0
13
16
0
0
0
8
1
1
1
1
17
16
16
0
0
56
4
8
1
2
2
18
18
0
0
0
16
0
0
0
0
2
2
2
2
2
3
2
2
2
32
32
32
0
0
0
0
0
25
25
0
4
8
16
16
4
0
0
21
0
0
4
4
4
0
0
0
16
0
0
8
0
0
1
1
1
16
0
1
0
0
0
0
0
0
0
0
4
0
16
0
19
0
0
0
0
4
12
1
0
8
0
8
8
16
16
16
0
16
0
9
0
0
4
4
0
0
0
16
0
32
0
0
16
8
0
0
0
16
16
16
16
16
0
0
0
0
8
26
0
0
0
0
0
8
0
0
0
4
4
0
0
0
1
8
8
0
0
0
0
0
0
9
9
2
0
0
25
4
4
0
0
0
0
1
1
1
1
8
4
32
4
28
4
16
16
0
0
0
0
0
0
0
16
16
0
0
0
0
16
0
8
0
0
32
0
0
8
24
0
19
19
19
16
16
8
0
16
8
16
16
16
0
8
0
0
16
0
16
16
8
8
5
0
0
0
2
8
18
18
4
16
16
16
8
8
8
0
0
8
8
8
0
0
0
0
0
8
8
8
12
16
8
8
0
0
0
0
0
0
0
26
0
0
2
2
8
8
0
0
0
0
0
0
8
8
8
1
1
0
0
10
28
1
1
0
8
8
8
8
0
0
1
6
6
0
0
20
0
0
0
0
0
1
1
8
0
0
16
2
2
16
0
0
1
1
0
0
8
8
8
8
8
8
0
0
0
0
17
0
16
16
16
8
8
8
8
8
17
0
0
0
8
8
0
8
24
24
16
16
4
0
0
0
0
0
0
0
0
0
0
0
8
8
24
28
0
0
0
24
24
24
24
24
8
8
8
8
8
8
8
4
16
16
0
0
0
1
1
4
4
8
0
8
8
41
4
0
4
18
4
4
0
0
0
4
0
8
8
0
8
8
0
0
8
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
8
0
0
8
8
8
8
8
8
0
8
20
0
0
0
0
0
8
0
8
0
0
0
0
0
0
1
16
16
16
8
8
0
16
4
0
8
4
16
16
0
0
0
0
0
0
4
4
16
24
0
0
0
0
0
4
4
0
0
16
0
0
32
0
8
0
8
8
0
16
16
16
16
0
0
0
0
0
0
0
4
20
0
8
8
8
8
8
0
8
1
0
0
4
0
0
8
8
8
8
8
8
8
1
16
24
8
0
0
1
1
1
0
0
0
0
0
0
25
25
0
0
8
8
9
4
4
0
17
0
0
8
8
8
8
0
0
0
12
12
12
1
1
1
14
0
4
16
0
0
0
16
16
16
16
20
20
0
0
0
20
2
2
2
32
57
0
0
0
4
0
0
0
0
4
4
4
4
4
4
8
8
0
20
0
16
24
0
40
1
0
0
0
0
0
0
0
8
8
8
8
1
1
16
16
16
16
0
1
1
1
0
0
16
16
0
0
0
0
8
8
8
0
0
4
4
0
16
18
18
18
17
0
0
8
8
8
10
4
0
0
16
0
0
0
8
8
0
16
16
28
24
0
0
0
0
0
2
0
1
8
0
0
4
1
0
12
16
0
0
17
0
0
1
0
0
0
0
0
0
18
1
0
0
8
0
16
8
0
0
8
18
32
0
1
12
1
16
0
8
8
8
8
0
8
8
16
8
0
5
4
0
0
8
8
1
1
0
0
0
1
1
0
16
20
0
0
0
0
0
0
0
0
13
13
4
0
0
0
0
0
0
0
16
0
16
16
16
8
8
16
16
16
16
16
16
24
24
0
18
18
18
16
16
0
0
0
16
16
16
0
1
0
4
0
0
0
0
0
0
8
8
0
0
0
0
16
0
8
0
8
8
8
0
0
0
18
16
16
16
0
0
0
0
16
16
16
0
8
8
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
32
32
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
0
0
16
26
24
24
4
0
0
24
2
4
0
17
2
8
8
8
8
8
8
1
1
0
1
0
4
8
8
8
8
8
8
4
0
0
0
0
1
1
1
16
8
0
0
0
0
0
16
4
8
31
12
0
0
16
0
0
0
40
8
8
8
8
0
0
0
0
0
0
16
4
0
16
16
0
10
0
4
0
0
0
16
4
4
0
28
0
0
0
0
8
8
16
0
0
20
20
0
32
0
0
0
8
24
8
0
0
0
16
16
16
16
8
0
2
8
8
0
0
0
0
0
0
4
4
4
4
4
4
0
0
0
0
0
8
0
16
16
1
2
2
8
8
0
2
2
0
0
0
0
0
0
0
17
17
0
0
0
0
0
3
8
32
0
0
21
8
8
8
2
2
2
2
0
0
0
0
0
0
2
2
0
16
0
0
0
0
0
0
0
0
1
16
0
0
8
0
16
16
24
0
16
8
16
8
0
0
0
8
8
0
16
16
16
16
0
0
1
0
0
0
0
0
0
4
4
8
0
16
0
0
1
1
16
16
8
0
1
1
1
2
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
12
12
0
0
0
0
0
0
8
56
8
40
16
16
4
6
8
8
0
2
16
16
0
0
0
0
0
8
0
0
8
4
8
8
1
0
0
16
16
16
16
8
8
8
8
41
41
0
0
8
8
0
0
0
0
0
0
1
16
16
4
12
12
0
0
8
8
8
26
0
16
0
16
16
4
0
0
0
3
0
8
8
8
8
8
16
16
0
8
8
8
0
24
24
16
0
0
2
0
0
0
0
0
0
0
4
0
0
0
0
4
4
8
0
0
0
12
12
8
9
0
0
0
2
2
16
0
0
0
0
0
0
4
4
4
1
0
0
18
18
2
1
0
2
2
16
16
16
0
0
24
16
16
0
0
8
8
0
18
16
16
16
16
16
0
4
4
0
0
0
8
0
0
0
0
0
0
8
0
0
0
2
2
2
2
2
0
0
8
0
0
0
0
8
28
0
0
0
0
2
2
2
0
0
16
0
1
0
16
16
16
16
24
24
0
0
0
0
0
0
8
8
8
0
24
24
8
8
8
8
0
2
0
0
8
16
1
1
16
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
8
0
16
8
0
0
32
32
8
0
8
8
0
0
1
24
0
0
1
1
2
8
8
20
0
1
16
24
8
20
4
4
8
0
16
8
8
40
40
40
8
8
0
0
0
0
16
0
0
27
4
4
12
16
16
0
0
0
0
8
28
0
16
0
0
0
8
2
2
0
0
0
0
0
0
0
0
0
0
0
8
16
16
0
8
0
0
0
0
8
8
0
4
4
0
8
8
0
0
40
16
16
0
24
0
0
0
0
16
16
1
1
1
1
16
16
10
12
8
0
16
16
16
16
0
32
0
0
4
2
18
8
0
0
16
18
16
16
8
8
28
0
4
4
17
6
6
0
0
16
0
0
0
16
16
16
16
16
16
0
0
0
8
0
0
0
0
4
8
16
0
4
0
0
8
8
0
0
0
0
0
0
8
8
8
8
0
0
0
1
16
0
0
0
0
16
16
2
0
0
0
0
2
2
0
0
0
0
16
0
0
0
0
0
0
16
16
16
16
8
0
0
0
0
0
0
0
8
2
16
16
16
16
0
0
0
0
20
8
8
8
8
0
0
0
8
8
8
9
9
20
16
0
0
2
2
0
0
8
0
0
17
0
4
1
0
2
0
0
0
0
0
2
2
2
0
8
8
8
8
8
8
0
0
28
0
4
1
0
0
24
8
16
16
0
0
0
0
0
0
0
16
16
57
0
8
8
8
0
0
0
0
0
22
8
2
16
8
0
16
16
16
0
0
0
16
0
0
8
0
0
0
0
0
0
8
8
8
2
0
0
0
8
1
1
2
2
0
0
0
0
16
18
18
2
2
0
0
0
0
0
16
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
9
0
16
16
0
0
0
0
10
0
0
0
0
0
0
0
17
1
1
1
8
0
0
0
0
0
16
4
4
4
4
0
2
8
0
4
3
3
3
0
8
8
4
16
0
0
0
0
8
24
8
0
0
1
4
4
0
4
4
0
8
8
0
0
22
22
0
8
8
8
8
16
0
0
0
0
0
0
0
0
0
12
0
0
0
4
4
0
0
0
0
0
8
8
0
0
16
16
0
27
9
0
0
0
0
0
0
0
8
0
0
0
0
7
7
0
16
16
16
5
0
8
16
8
8
8
8
0
0
16
24
8
0
0
0
0
0
0
4
0
16
16
8
4
4
0
0
8
8
8
8
16
4
8
24
0
0
0
0
0
4
4
17
17
0
0
16
16
4
4
8
0
0
0
2
8
8
8
2
2
0
0
4
0
0
0
0
0
0
0
2
2
2
2
2
0
0
0
18
16
16
0
8
8
8
8
8
4
0
0
8
8
8
18
18
1
2
16
0
0
8
4
4
0
0
0
0
2
0
0
0
0
0
0
1
8
8
4
4
0
32
8
0
16
4
4
8
0
24
8
16
24
0
0
0
0
0
0
12
12
0
0
0
0
0
0
0
0
0
0
16
16
16
2
2
1
16
16
0
0
0
2
0
0
0
0
0
0
0
32
16
4
8
0
0
0
0
0
0
2
2
17
17
1
1
16
8
0
8
8
8
0
0
0
0
0
0
0
0
16
4
0
8
0
0
8
0
0
0
0
0
0
2
2
0
8
8
3
3
3
0
0
4
4
8
20
16
0
0
0
0
0
0
8
8
0
0
0
0
0
0
16
16
16
0
0
0
0
0
20
18
16
0
10
4
4
4
8
8
2
2
8
0
8
0
0
0
0
0
0
0
0
0
0
16
16
8
8
8
5
0
0
0
0
0
8
8
48
0
0
0
0
0
0
0
0
8
9
8
0
8
8
0
0
0
16
0
0
24
33
8
1
0
26
26
0
0
0
0
16
8
8
0
0
0
4
4
4
4
2
0
8
12
12
16
16
16
0
0
0
6
0
0
0
0
0
0
1
0
0
8
0
0
0
0
4
4
0
16
8
8
0
8
8
8
0
0
4
4
4
16
40
40
40
0
0
24
24
8
4
16
8
8
0
16
16
16
0
0
4
4
1
16
0
0
0
0
8
8
16
24
16
4
0
16
9
0
8
16
8
0
0
0
57
57
0
4
0
0
4
0
2
0
16
0
0
24
0
8
8
2
2
11
8
0
16
16
16
0
0
8
8
0
0
0
0
28
8
8
0
2
2
0
17
0
8
8
8
8
2
2
0
8
16
0
4
4
0
0
34
32
40
12
16
16
16
8
8
16
16
16
0
2
2
0
0
9
1
0
0
2
0
0
8
8
16
16
0
0
8
16
0
0
20
20
0
16
16
4
16
17
0
0
0
0
0
0
0
32
8
8
8
0
2
1
0
0
4
8
8
8
0
8
8
8
0
0
16
16
16
16
16
16
16
16
0
0
0
0
0
0
0
0
16
0
24
24
0
0
8
1
8
8
8
16
16
16
16
8
0
25
0
0
16
0
0
0
0
0
0
16
16
16
0
0
0
4
0
0
0
0
8
8
8
0
4
0
4
4
0
0
24
0
0
0
0
0
4
4
16
0
0
0
0
8
8
8
8
8
1
1
1
16
16
16
0
0
0
0
0
0
0
0
1
1
16
16
0
0
18
16
16
16
0
32
20
20
0
0
0
0
0
0
16
16
0
0
0
0
0
4
4
0
16
16
0
2
4
2
2
8
1
1
0
8
32
32
2
0
0
0
12
0
16
0
0
0
1
8
16
20
0
0
0
0
0
0
0
34
34
34
34
8
8
28
0
0
16
16
16
24
0
0
0
16
16
16
16
0
28
28
28
8
8
16
8
8
8
8
4
4
6
6
0
0
0
0
8
0
0
0
0
0
0
0
16
16
8
16
16
0
0
0
8
8
4
4
4
8
8
8
8
8
8
8
0
0
0
0
24
0
0
0
24
20
0
0
8
0
16
8
8
0
0
0
0
0
0
16
16
8
8
8
8
8
8
0
0
0
0
0
19
19
0
0
20
0
0
0
4
4
8
8
8
0
4
0
0
0
0
0
0
0
1
16
0
16
0
0
0
0
0
8
4
4
0
8
2
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
9
2
2
2
2
6
6
2
2
8
0
2
0
0
0
0
0
0
8
8
8
8
8
16
16
16
8
8
0
8
0
0
0
0
0
0
0
4
4
0
0
16
16
16
1
1
1
0
20
0
0
16
16
16
0
0
0
16
16
16
16
4
8
16
0
0
0
0
0
0
8
8
8
8
0
12
8
16
0
12
0
8
16
16
16
0
4
0
0
2
0
0
0
0
1
0
8
8
8
8
16
0
0
8
0
8
0
0
0
0
0
2
8
0
1
1
0
0
9
0
0
0
0
8
8
8
0
0
0
0
1
0
12
8
0
32
32
32
4
8
0
16
16
0
0
8
8
8
8
0
8
8
24
0
0
16
24
8
16
0
4
0
0
8
8
8
2
2
8
8
8
0
0
8
0
8
8
0
16
0
0
0
0
0
0
32
0
16
0
0
16
0
0
0
0
0
0
0
16
16
0
18
18
8
8
16
0
4
2
10
8
8
8
8
8
0
0
0
0
0
16
0
0
6
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
8
0
0
16
8
2
0
0
0
0
0
0
4
4
4
0
0
0
0
0
0
21
16
0
0
0
0
0
0
0
4
4
4
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
8
8
20
0
0
8
8
8
32
16
16
0
0
0
0
0
2
0
0
1
4
20
0
0
16
16
0
16
24
16
0
0
4
4
8
8
0
0
8
8
8
8
0
0
0
0
2
0
0
1
0
0
0
0
1
8
6
0
0
0
8
0
0
8
8
8
8
8
1
0
0
0
16
16
0
0
0
16
16
16
24
0
0
0
0
0
0
4
4
0
0
32
8
18
12
16
16
16
16
24
24
8
16
8
0
0
0
0
0
0
0
0
4
4
4
4
14
16
16
16
2
0
16
16
16
19
1
8
42
0
0
0
0
0
2
2
0
3
8
0
16
20
0
0
0
0
8
16
0
0
0
12
8
8
0
8
8
8
8
48
0
4
4
0
0
0
16
8
8
1
0
16
0
16
16
16
0
0
8
8
8
8
0
0
2
0
0
0
0
0
0
0
0
9
0
16
16
0
0
0
0
0
0
16
0
29
29
16
2
2
0
24
0
0
0
14
2
0
4
4
4
16
2
4
4
8
8
8
16
16
6
10
10
0
0
16
0
0
0
1
1
0
0
0
0
0
16
5
8
8
8
8
0
0
0
0
0
0
12
4
0
16
0
0
58
4
0
16
0
0
0
32
32
32
0
0
0
17
16
16
0
0
0
0
0
0
0
0
8
8
8
8
0
0
24
16
16
4
1
1
20
20
0
0
20
20
20
0
8
0
0
0
0
0
4
16
16
16
16
16
0
0
0
0
0
0
0
0
24
8
8
0
4
4
2
8
0
2
2
0
8
0
0
0
0
1
1
1
1
0
18
18
4
2
0
16
0
0
0
0
8
0
0
0
0
16
8
8
1
2
2
24
24
8
8
8
20
20
20
20
0
0
0
0
16
0
0
0
8
0
0
0
0
0
0
0
0
8
8
0
16
16
8
0
0
0
1
1
0
16
16
16
16
16
0
0
0
0
0
0
0
0
0
0
0
4
4
0
4
6
4
16
16
16
0
0
0
0
8
48
16
0
4
0
0
0
0
0
0
0
0
0
16
16
16
0
0
0
0
8
0
0
0
0
0
4
56
8
8
0
0
1
1
0
0
0
4
0
0
16
8
16
16
0
0
8
8
2
8
24
16
8
8
8
8
0
0
0
4
16
8
8
0
0
0
34
0
0
0
0
2
34
0
50
10
10
0
8
0
8
8
0
0
24
0
0
0
0
0
0
0
0
0
0
0
0
0
1
8
16
16
16
16
0
0
24
8
16
0
0
0
11
16
32
8
0
0
0
0
4
4
4
16
16
16
16
0
0
0
0
0
0
0
0
0
8
8
8
4
0
8
8
8
0
0
0
24
18
18
4
4
4
60
0
0
0
16
24
2
2
0
0
2
0
0
16
0
0
6
4
20
16
0
0
8
0
16
8
1
20
8
0
1
4
16
0
32
0
8
8
24
8
4
8
0
0
0
0
0
4
4
0
16
0
0
8
8
1
0
8
0
0
0
0
0
0
0
0
2
0
0
4
20
16
0
8
2
2
0
1
0
0
8
8
0
0
0
0
0
8
8
2
2
8
0
0
8
8
0
0
0
0
0
0
16
16
0
8
8
0
0
0
0
0
0
4
4
8
8
0
0
8
8
0
0
8
8
0
16
1
0
8
24
0
2
2
0
0
0
8
8
8
8
19
19
19
0
0
0
0
8
16
16
0
0
0
0
0
16
16
8
8
0
16
16
0
0
0
8
8
8
0
16
16
0
0
1
1
16
16
0
0
0
0
2
2
8
16
1
1
0
0
16
8
4
8
8
8
8
8
8
8
8
0
16
8
24
0
8
0
0
16
16
16
12
12
12
1
8
8
0
0
0
33
0
2
2
0
16
0
8
0
4
0
0
0
0
0
0
0
0
0
0
2
0
8
8
0
0
31
0
0
4
8
8
4
0
8
8
8
8
0
0
0
0
0
1
0
0
0
0
0
0
2
1
0
0
0
0
4
0
8
2
0
0
0
8
8
8
8
8
0
8
16
16
16
0
0
0
0
0
4
8
0
0
0
0
5
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
17
7
2
2
8
8
8
8
8
0
0
16
16
16
8
8
8
24
0
0
16
0
0
1
1
0
0
0
0
0
2
2
0
0
0
0
16
0
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
0
8
8
0
0
0
16
16
16
16
16
4
0
8
8
0
48
48
0
0
0
16
4
4
4
4
0
0
0
0
0
0
0
4
8
8
0
0
0
0
0
16
0
8
16
0
0
0
0
8
8
16
4
2
0
4
13
8
8
8
8
1
1
16
1
0
0
0
0
8
16
16
0
18
16
16
0
0
0
0
0
0
0
0
8
8
0
16
0
4
0
0
0
38
38
0
4
0
10
4
4
0
10
10
4
4
4
33
1
8
8
0
0
0
28
28
28
8
32
32
0
0
8
18
0
0
16
1
1
0
0
4
4
1
1
16
1
8
8
4
0
0
16
16
0
0
8
16
0
0
0
0
0
0
0
16
8
0
0
0
1
15
15
18
30
0
0
16
16
6
6
0
0
0
0
4
0
0
0
0
0
16
8
0
0
0
22
4
4
4
8
8
8
0
4
0
0
0
0
8
8
8
8
8
0
0
8
4
1
1
1
1
1
0
8
8
8
8
0
0
2
0
0
0
0
0
4
0
0
0
16
8
4
0
17
0
2
2
0
0
0
0
0
0
8
0
0
0
0
8
0
2
0
16
2
0
0
0
0
0
8
8
24
0
0
1
0
0
0
0
0
8
8
8
0
42
8
24
8
8
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
16
32
32
0
0
8
8
0
0
1
16
16
0
0
0
0
16
8
16
16
16
1
0
13
8
0
9
9
9
0
0
0
16
16
0
0
0
0
0
1
0
0
0
0
1
1
0
8
8
8
8
4
4
4
4
0
12
12
0
0
0
2
0
4
4
0
0
0
0
0
0
16
16
16
0
0
0
0
0
8
8
8
0
0
0
1
0
0
0
1
8
2
0
0
8
8
0
0
0
0
2
2
1
0
0
0
0
16
16
16
0
0
0
0
0
0
0
8
16
0
0
16
2
0
0
8
8
8
8
0
0
1
1
1
4
8
9
0
0
4
4
0
0
0
0
0
0
8
8
2
0
8
40
8
8
8
16
0
0
0
0
0
0
16
24
0
16
16
0
4
4
0
1
1
0
12
0
0
0
9
4
20
0
0
0
29
29
29
8
8
0
0
0
0
0
4
4
0
0
0
16
0
16
0
2
0
0
0
0
0
0
8
8
8
8
0
4
0
1
0
0
0
8
16
16
0
6
2
2
2
16
0
0
0
0
16
0
1
0
8
8
8
8
0
0
8
2
0
0
8
10
0
0
0
50
16
0
0
0
0
8
8
0
0
12
36
16
0
16
16
16
8
24
32
32
0
0
0
0
0
0
4
4
16
0
0
0
0
8
0
0
16
0
0
0
0
16
16
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
1
1
0
12
0
56
1
0
0
0
0
0
0
0
0
0
4
4
0
0
0
0
8
8
0
8
0
0
0
0
0
0
0
0
0
16
0
2
0
2
2
16
1
16
20
0
0
0
0
0
0
0
1
3
0
0
0
2
13
9
0
0
0
0
0
0
0
9
9
8
0
24
0
8
8
8
0
0
0
16
16
16
24
0
0
0
0
0
1
0
16
16
16
0
4
4
0
0
16
16
16
0
0
1
8
8
8
8
8
8
0
0
0
8
2
0
0
0
2
2
21
21
0
0
24
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
18
16
16
0
0
0
0
0
0
8
8
4
8
12
4
1
1
10
0
0
0
16
16
0
0
0
0
0
4
4
4
8
8
0
0
8
0
0
8
50
50
50
8
8
8
0
0
0
0
0
16
16
16
8
16
0
0
0
0
0
0
0
0
0
0
16
0
0
41
0
0
8
8
8
8
2
2
0
0
0
0
0
2
9
9
2
2
2
2
24
24
24
0
0
0
0
0
0
8
8
16
0
4
4
17
16
0
32
24
24
8
0
0
0
16
0
24
24
0
0
4
0
8
4
4
16
16
16
16
0
0
0
14
16
1
1
1
4
4
0
0
0
16
8
8
0
4
16
0
0
0
8
0
4
4
0
16
16
16
16
16
0
2
19
0
0
0
8
24
16
0
0
8
0
0
24
0
0
0
0
0
5
0
0
0
0
0
16
0
0
0
0
0
1
1
0
16
4
0
0
0
0
0
44
16
16
8
0
4
4
0
0
1
1
1
0
0
28
0
0
0
8
0
0
4
16
16
0
0
0
4
0
0
0
0
8
0
0
0
0
0
8
8
8
8
0
0
40
0
16
16
0
16
0
0
0
0
12
0
0
0
0
0
0
0
0
16
1
16
16
8
16
0
0
12
0
1
0
0
8
8
0
0
0
2
2
2
0
0
0
0
0
16
1
1
1
0
0
0
4
16
0
0
0
0
0
0
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
16
4
4
4
10
8
8
0
0
0
8
2
0
0
0
16
0
0
0
0
0
0
0
8
0
0
1
0
8
8
0
8
8
8
8
0
8
0
0
8
8
8
16
2
2
2
8
8
8
8
0
0
0
0
17
17
0
16
16
16
16
8
8
0
16
8
0
0
0
0
6
6
0
0
24
24
1
0
16
16
16
0
0
0
4
28
0
0
0
16
8
8
16
16
0
0
0
0
0
0
8
8
8
8
8
18
18
0
16
1
0
16
0
0
12
12
16
0
8
8
16
4
6
4
0
4
1
0
0
16
4
8
8
8
8
33
33
33
8
8
8
8
8
8
4
1
4
0
49
17
32
0
0
0
8
8
8
8
8
4
4
4
16
16
0
0
8
0
0
8
0
4
16
16
0
0
0
0
0
4
0
4
0
4
4
4
4
4
4
1
2
8
0
0
0
0
1
0
12
16
22
22
6
0
0
0
8
8
8
8
16
16
16
16
16
16
16
16
8
8
6
6
6
24
2
2
2
16
16
8
24
16
52
16
8
8
16
16
0
0
0
0
0
1
1
1
0
0
0
8
8
16
24
0
1
8
8
1
8
0
52
16
22
0
1
0
8
0
8
8
8
8
8
8
8
8
8
8
8
8
0
0
4
4
4
4
0
4
16
16
16
16
16
4
8
8
8
8
8
8
8
8
8
8
0
16
8
8
24
8
1
1
1
1
1
16
0
16
16
20
0
0
0
0
0
24
8
8
0
0
17
25
17
48
48
8
16
4
0
8
0
0
9
1
0
8
8
0
8
0
11
0
8
8
8
24
24
8
0
0
0
0
0
26
0
0
0
16
4
4
0
2
0
1
0
0
0
0
12
12
12
8
8
8
8
8
8
0
0
0
0
24
24
22
22
0
0
0
0
8
8
2
1
1
16
2
2
2
0
0
0
0
0
0
9
9
0
0
16
8
4
4
4
0
0
0
1
3
3
3
0
18
18
0
0
8
0
8
0
0
0
4
4
56
0
8
8
0
0
20
0
0
1
1
8
0
0
8
8
0
0
0
0
0
4
4
16
16
0
0
0
8
8
4
0
0
0
2
2
0
0
2
0
16
16
12
8
8
8
8
8
8
8
8
8
0
0
0
16
0
0
0
1
17
0
48
8
8
56
8
2
32
32
32
8
0
0
0
0
56
56
0
0
20
20
0
0
0
0
0
16
8
8
8
8
0
24
8
1
16
16
16
16
32
32
0
0
16
8
8
0
8
20
20
20
32
32
0
4
4
0
0
4
4
0
0
57
16
8
0
0
16
0
0
0
8
8
8
2
2
20
0
0
8
0
0
1
1
1
1
8
24
8
0
2
1
1
0
0
0
0
0
0
0
1
0
0
0
8
0
0
0
0
0
0
0
1
16
0
8
8
8
8
1
0
25
0
8
0
0
0
16
0
0
16
0
16
0
0
8
8
8
0
2
18
16
16
8
8
0
0
0
0
8
8
0
0
0
0
2
0
0
0
0
8
0
0
8
8
16
32
0
8
8
0
0
8
8
8
12
12
16
16
24
4
4
0
0
0
0
0
0
0
16
0
24
0
16
16
16
2
16
16
32
16
16
16
16
16
16
8
8
0
0
8
12
1
0
0
16
0
0
2
1
8
8
8
0
0
0
16
16
16
0
0
0
0
16
16
8
8
0
0
1
16
0
12
4
4
8
8
8
0
20
0
0
0
0
0
0
0
0
0
0
0
32
9
9
0
0
0
8
2
0
8
0
4
0
4
4
16
0
0
0
0
8
8
0
14
2
10
0
8
0
8
8
8
0
8
8
8
0
17
0
0
24
8
8
16
16
16
16
16
0
8
8
0
0
16
8
0
0
16
16
16
16
32
32
1
4
16
8
8
8
8
8
8
2
0
8
8
4
4
4
4
4
4
0
0
0
0
0
4
0
8
0
0
8
8
8
8
8
0
26
0
0
0
0
0
8
8
8
0
0
8
61
0
8
8
8
8
0
0
0
0
1
1
1
1
16
16
16
8
0
0
0
0
0
8
32
16
16
0
16
16
16
8
24
24
24
0
0
8
0
0
16
16
16
16
8
8
8
0
0
8
8
2
2
0
16
16
2
8
25
1
1
1
24
24
9
9
9
0
28
0
0
16
16
20
26
26
26
8
0
0
0
0
8
0
4
4
4
0
0
0
0
0
1
1
0
0
8
0
0
0
0
0
0
8
8
8
8
4
4
16
16
0
4
4
4
6
0
0
0
8
0
8
1
1
16
16
16
8
8
8
4
4
8
8
8
8
16
16
16
2
2
2
16
24
24
0
0
0
0
8
12
4
4
4
4
4
0
16
16
16
16
16
0
0
0
0
0
0
2
2
2
2
0
0
0
8
0
8
10
4
4
16
4
4
8
0
1
0
2
2
2
0
0
8
0
8
0
0
0
8
8
0
30
0
24
24
4
32
32
32
0
8
8
8
8
8
0
0
0
0
0
4
4
4
16
0
16
16
22
16
16
16
16
16
8
8
8
16
16
1
1
1
1
1
1
0
0
8
1
8
0
0
0
0
0
0
16
16
16
8
8
4
4
4
4
4
0
0
0
4
8
8
0
8
0
1
8
0
0
1
13
13
0
0
0
2
4
4
0
0
0
0
6
2
2
9
8
8
8
17
17
16
16
16
16
4
6
6
6
16
8
8
0
0
16
0
16
16
9
1
0
0
1
1
0
0
2
2
8
8
0
0
0
1
1
1
0
0
0
16
17
4
0
0
0
0
0
0
0
6
18
0
0
2
0
0
0
1
1
17
0
8
8
0
0
18
18
18
18
18
0
0
0
0
0
0
0
8
12
8
0
8
0
0
0
8
8
0
0
0
8
8
8
8
0
0
0
0
0
8
8
8
20
20
0
0
8
24
24
0
0
0
16
3
0
0
1
1
16
2
0
0
0
0
0
0
0
8
8
0
4
0
24
24
16
16
16
0
0
2
4
4
0
0
11
11
11
0
0
18
1
1
1
16
16
0
0
0
0
8
8
8
8
9
0
8
16
16
0
1
2
0
0
16
16
5
5
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
8
0
4
16
8
0
0
2
5
0
0
4
4
4
4
4
4
0
0
0
0
8
8
0
0
8
8
8
0
0
0
1
0
16
2
0
8
0
0
8
8
8
8
8
0
16
8
8
0
0
8
8
8
0
0
0
0
8
4
8
8
8
8
0
4
8
9
8
18
0
0
0
0
0
18
2
0
16
16
16
0
0
16
0
0
8
0
8
8
0
10
8
16
8
8
0
0
6
22
0
0
0
0
0
0
0
0
0
4
4
0
0
24
24
24
24
24
0
1
8
0
9
0
0
0
0
3
8
2
2
2
2
0
4
4
0
0
0
8
8
0
0
0
0
0
0
8
8
0
0
8
8
8
8
8
8
32
32
0
0
4
4
0
0
35
35
35
16
8
10
0
0
0
0
0
4
2
1
8
8
8
8
0
8
16
8
16
16
4
18
18
8
4
20
0
0
16
16
16
0
0
0
0
0
0
0
0
16
16
16
16
0
0
0
0
0
16
8
18
16
8
8
0
16
0
32
32
0
4
4
0
0
0
0
0
0
0
20
16
8
8
8
8
8
2
2
0
0
4
4
4
4
4
0
0
8
0
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
8
1
0
8
4
4
4
6
6
6
6
8
12
0
0
1
0
0
8
0
8
8
16
16
24
8
0
8
8
8
8
0
8
18
18
18
16
16
16
16
2
2
8
8
8
0
8
8
8
8
0
0
0
28
8
8
4
4
16
2
2
16
1
1
0
8
0
0
1
1
1
1
1
1
1
0
8
8
8
8
8
0
0
8
4
4
4
4
8
1
3
16
16
16
8
0
11
11
0
24
8
8
32
0
0
0
12
4
0
20
0
16
0
0
16
16
8
1
1
1
0
0
8
1
4
4
4
4
4
24
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
12
0
0
8
8
0
8
8
8
16
17
16
8
8
8
2
0
16
0
2
2
16
8
8
8
8
8
16
0
0
8
2
16
34
0
0
0
0
1
1
0
0
0
1
1
1
0
0
16
16
0
0
16
0
8
8
16
0
26
0
0
1
5
16
4
4
2
0
0
0
0
0
0
0
0
22
6
4
4
16
8
8
24
8
0
0
0
0
0
2
0
0
1
0
8
0
8
0
8
8
49
24
24
32
32
0
0
0
0
0
0
24
0
0
0
0
0
4
8
2
0
0
0
4
0
1
0
0
0
0
16
8
8
1
0
0
0
8
4
8
0
0
8
8
0
8
8
8
24
24
16
0
16
4
20
0
2
8
32
0
0
2
0
21
21
0
0
0
0
16
2
0
0
8
8
8
0
8
0
1
0
16
16
0
0
6
8
8
8
36
0
1
1
2
16
16
16
0
8
8
8
20
0
2
0
8
0
4
0
8
0
24
0
0
0
16
16
16
0
8
8
3
0
0
0
0
4
4
4
0
0
16
0
0
0
0
0
0
8
8
8
0
0
0
8
12
8
0
0
0
1
1
0
0
0
0
24
0
8
8
8
8
8
8
9
0
8
0
0
2
4
0
4
16
16
0
0
0
0
0
0
24
24
8
8
0
1
20
20
16
16
0
0
0
0
0
8
8
0
16
8
0
1
1
1
1
0
0
20
0
0
0
0
0
16
0
0
0
0
8
8
0
4
4
4
4
4
57
57
57
1
8
0
0
8
8
0
4
4
4
9
0
14
14
4
4
0
0
16
16
12
12
12
12
16
16
4
8
0
0
8
8
8
16
8
16
16
16
0
0
16
0
0
0
0
0
0
12
12
4
16
0
0
2
0
1
1
0
8
8
17
17
17
6
2
1
33
16
0
0
0
8
8
16
16
16
16
0
0
0
0
0
0
0
0
0
16
16
16
0
0
0
0
5
0
4
4
0
0
0
0
0
4
4
0
0
0
0
8
0
0
0
4
4
16
8
0
0
0
0
0
0
0
0
0
0
16
8
8
8
8
8
0
0
0
14
14
14
2
2
8
0
16
16
16
0
0
0
8
2
2
0
0
1
16
16
48
8
8
0
0
0
0
0
0
16
8
8
48
41
0
1
1
1
32
0
0
16
16
8
8
8
4
8
8
0
8
16
17
8
8
36
36
0
0
0
1
0
16
0
16
16
20
0
0
0
0
20
16
29
29
16
16
28
28
0
0
2
8
8
0
0
0
0
12
0
0
21
0
0
8
8
8
0
16
0
0
4
8
8
17
1
1
1
4
0
0
0
8
1
0
8
25
25
0
8
16
8
0
0
0
16
0
0
0
2
2
0
0
0
0
8
8
8
16
16
8
8
4
4
1
1
1
0
2
2
0
0
0
20
17
17
0
0
0
24
24
8
8
2
2
0
0
4
0
8
8
16
16
8
8
0
0
0
0
0
0
0
16
16
0
8
18
18
0
0
3
3
0
0
58
24
24
8
8
8
8
0
8
8
16
0
0
0
0
8
8
0
4
0
8
8
0
20
1
0
0
0
16
16
16
0
16
8
0
4
50
50
8
8
0
0
4
0
0
0
0
0
0
0
8
8
8
16
16
16
0
0
0
0
0
0
8
0
0
0
0
4
8
8
0
0
12
12
24
0
0
0
4
0
0
16
8
8
8
0
0
0
0
0
16
17
16
0
16
16
2
0
0
8
8
0
0
0
4
4
4
0
1
1
24
3
16
0
0
0
40
8
8
9
8
0
16
8
16
40
2
2
20
0
8
8
8
8
8
8
0
8
16
0
8
8
8
8
16
16
16
16
0
8
0
0
0
0
2
0
0
0
16
16
2
2
0
0
0
8
8
8
0
0
10
10
0
0
4
4
0
0
30
0
8
16
16
0
8
8
8
0
16
16
0
8
8
8
8
8
8
8
24
4
32
32
32
32
16
16
4
4
0
1
8
8
8
0
0
16
8
0
20
8
7
2
16
16
0
0
4
0
34
34
8
8
8
8
8
8
4
4
0
0
0
0
0
0
2
2
2
8
8
8
8
0
16
16
16
0
24
8
8
8
0
0
0
0
0
2
2
0
0
0
0
8
0
0
8
0
20
1
8
0
0
8
8
8
8
20
16
8
8
1
1
0
0
0
0
0
0
32
0
2
8
8
8
16
0
0
8
16
0
0
0
16
0
0
0
0
0
2
2
2
8
8
0
0
0
0
0
16
0
0
0
0
0
4
4
0
0
8
0
0
0
8
0
16
0
0
0
8
0
16
4
1
8
1
8
8
8
8
8
0
8
8
0
8
0
0
30
8
8
8
2
2
2
18
16
0
1
0
16
16
0
0
8
0
12
8
1
8
8
25
8
16
16
0
0
16
0
0
13
16
2
24
24
40
40
0
0
0
8
8
22
0
0
0
0
0
16
24
16
0
0
0
4
2
8
8
0
0
8
8
8
8
8
4
8
9
0
16
1
1
8
8
8
8
20
20
4
4
4
16
4
0
8
22
22
22
0
0
0
8
0
0
32
32
16
0
0
2
12
12
8
8
8
40
0
8
4
4
16
16
21
21
1
0
0
24
8
8
8
0
8
8
16
16
8
8
8
0
0
0
0
0
0
0
16
8
8
0
8
16
16
4
4
4
1
0
0
0
0
8
8
8
0
0
1
0
24
24
24
24
8
8
8
4
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
24
24
0
0
1
1
1
6
6
4
4
8
8
0
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
22
16
16
0
24
24
0
0
0
0
0
2
8
8
8
0
4
0
0
8
21
0
0
0
8
8
8
8
8
0
0
0
0
2
0
48
0
12
4
16
0
32
32
0
0
0
0
0
8
26
16
0
49
49
49
16
0
0
6
16
2
8
2
4
4
4
16
16
0
17
17
17
0
52
52
16
20
20
16
19
0
0
0
0
0
0
0
8
1
8
8
21
16
8
0
0
16
0
8
8
0
1
16
0
0
0
0
1
0
0
8
16
16
8
16
16
16
6
1
1
8
8
8
0
0
0
0
0
16
16
1
0
0
0
16
16
0
4
0
18
8
8
0
16
5
8
13
0
0
4
0
1
8
8
6
6
2
0
0
0
0
16
0
2
0
0
41
0
0
8
8
4
8
8
0
0
0
0
4
4
1
1
8
8
16
16
0
8
0
0
16
8
8
8
8
8
8
8
8
0
8
8
0
8
0
0
4
4
16
7
8
8
8
8
24
16
16
8
8
0
1
8
1
0
0
8
8
0
0
0
16
0
0
0
0
0
8
0
0
0
0
8
20
20
0
0
0
0
0
0
0
0
8
8
8
0
0
1
33
32
0
0
4
4
4
0
0
4
0
8
8
0
0
0
0
0
0
0
0
8
8
8
8
8
0
0
0
16
16
16
22
22
0
0
1
4
16
16
0
0
0
8
8
0
0
8
0
0
0
0
0
0
16
16
0
16
4
0
8
8
8
16
16
16
16
16
0
1
1
8
0
8
8
8
8
8
0
48
0
0
4
8
48
16
32
8
8
0
0
4
4
8
1
8
12
8
0
0
0
16
8
0
0
0
0
0
0
0
0
8
8
0
17
2
5
4
26
26
8
0
1
0
0
0
0
0
8
0
0
0
8
8
16
20
20
20
20
16
0
0
8
0
0
0
2
2
2
2
0
0
0
0
8
8
2
2
0
0
55
0
0
0
8
0
32
9
17
17
17
1
16
16
16
16
0
0
0
0
0
0
16
16
0
2
2
2
0
0
0
0
0
8
2
2
16
16
2
2
8
0
0
0
0
2
28
28
16
8
8
8
0
4
16
16
8
8
8
0
8
0
0
0
0
16
16
16
26
0
0
0
0
16
0
0
0
0
0
8
8
0
8
0
0
8
48
4
0
2
0
0
0
0
0
0
4
8
0
4
16
0
0
8
4
0
0
0
0
0
2
8
8
16
2
0
0
0
0
0
8
8
16
0
8
24
16
6
6
0
0
16
2
6
6
0
0
0
0
0
0
1
1
1
4
10
0
0
24
16
0
0
0
5
0
8
8
17
0
0
0
0
0
0
0
0
0
0
0
20
0
0
0
0
0
0
16
0
16
0
0
0
0
0
0
0
0
0
0
0
0
2
1
17
12
2
0
0
0
0
0
0
16
0
16
24
24
8
8
8
8
24
8
0
16
16
16
16
16
0
2
8
8
0
0
32
8
0
8
34
0
0
16
16
16
16
16
0
16
16
16
8
0
0
0
0
8
16
8
8
8
8
0
0
16
2
2
8
0
1
1
33
2
16
50
24
22
16
16
16
4
4
4
8
18
4
0
0
0
0
16
0
2
0
0
0
17
1
0
0
0
0
0
35
35
0
0
0
2
2
2
2
1
37
37
0
0
0
0
0
0
32
8
8
8
8
0
0
1
1
1
1
0
2
4
16
32
32
0
0
0
28
60
4
4
0
0
0
0
0
0
8
8
0
0
0
0
1
1
32
8
0
0
0
0
0
0
8
8
8
16
16
16
8
20
0
17
0
2
0
32
32
0
0
0
16
16
0
8
0
0
8
32
8
2
2
2
0
24
24
24
8
16
8
8
0
8
8
1
4
4
4
4
2
0
0
0
0
40
0
0
16
16
16
0
0
0
0
8
16
16
16
18
0
0
0
2
0
0
0
20
8
8
0
0
0
8
0
8
0
0
0
0
1
0
0
4
8
8
0
2
8
8
0
0
0
0
0
0
16
0
0
0
0
0
0
22
4
1
0
0
0
0
0
0
24
24
48
48
8
0
0
0
8
0
57
57
32
32
0
0
8
0
10
10
16
8
8
8
8
2
8
8
8
8
8
8
0
0
16
0
0
0
8
8
16
2
16
18
32
0
0
16
16
0
0
8
8
8
8
8
2
0
24
24
8
8
8
8
8
16
0
8
2
2
0
0
16
0
14
0
8
8
8
8
0
0
16
16
0
17
1
16
24
20
8
8
8
0
0
0
8
1
1
20
20
0
0
3
19
3
0
12
12
24
0
8
8
0
0
0
18
1
0
0
8
0
0
0
0
1
1
1
1
19
19
0
0
0
1
1
16
16
16
16
16
16
0
16
16
0
1
1
0
0
0
0
0
0
16
16
8
0
0
0
20
17
17
0
0
2
2
0
16
0
1
1
1
0
0
0
16
8
8
0
8
8
4
2
16
16
8
16
16
16
16
0
0
16
16
0
16
0
12
16
2
2
0
8
8
0
1
1
8
8
2
0
0
0
0
8
16
0
8
16
16
16
4
16
0
0
16
16
16
8
8
0
0
4
4
4
4
5
5
2
2
0
16
0
0
0
16
16
8
8
8
8
16
16
0
0
2
2
16
16
8
16
0
0
16
16
0
0
0
0
0
8
8
8
0
24
16
24
24
0
6
6
8
0
0
0
0
0
20
0
10
26
4
4
4
4
4
4
32
32
32
8
8
8
8
8
16
0
0
8
8
1
8
8
4
4
4
16
16
0
16
0
0
0
4
4
0
12
12
0
0
0
32
32
32
2
2
0
0
0
0
16
8
8
8
0
0
0
1
8
8
0
0
0
0
8
8
4
20
0
0
2
2
2
0
8
16
16
4
4
0
32
32
16
24
16
16
16
4
0
4
4
2
8
16
8
16
16
16
0
0
2
8
8
0
0
0
0
8
8
0
0
0
8
8
8
20
4
4
4
4
0
0
0
0
0
0
0
0
0
8
12
0
0
16
4
8
8
24
0
0
0
0
0
8
0
4
4
0
8
8
0
0
0
4
4
33
33
0
4
0
0
0
0
0
0
0
8
12
0
2
16
16
0
8
8
24
0
0
24
0
16
16
16
16
16
16
24
24
24
24
4
4
32
8
8
2
2
1
1
1
1
1
1
1
1
1
16
16
0
0
0
0
8
0
0
2
0
0
0
0
0
0
0
0
2
0
0
8
8
0
8
0
0
0
0
0
8
8
0
3
3
8
0
16
16
16
0
0
0
0
8
0
0
8
12
12
8
8
4
0
8
8
0
10
1
20
16
16
8
16
0
0
0
0
20
20
32
32
0
0
0
8
0
0
4
4
0
0
0
0
12
4
8
16
1
16
16
4
4
8
0
0
0
0
20
16
16
16
0
6
6
28
28
4
8
8
6
0
0
16
16
0
0
0
8
8
8
0
16
2
2
0
0
8
8
8
8
8
8
8
0
0
0
0
16
8
8
8
8
8
0
4
1
24
0
0
4
8
8
8
8
8
0
9
4
16
16
0
0
8
24
0
6
6
6
8
21
2
1
12
20
0
0
8
4
4
4
6
12
8
8
8
8
0
16
16
8
8
16
2
8
8
16
16
16
17
0
0
0
0
0
16
16
16
0
4
3
3
16
16
16
16
8
0
0
0
32
32
0
0
0
0
0
1
1
16
0
25
4
16
0
0
0
6
16
24
0
20
20
4
4
4
0
8
8
8
8
8
8
8
8
4
16
16
2
1
16
24
0
0
0
4
0
8
16
16
8
8
0
0
0
16
24
16
16
16
0
0
0
0
8
16
4
16
0
8
8
8
0
16
0
0
0
8
0
0
0
0
2
9
0
16
8
16
8
24
16
16
0
16
8
1
1
21
0
18
22
22
0
0
0
0
0
0
0
16
24
0
8
24
24
8
8
8
8
8
0
0
0
0
0
0
4
8
8
8
8
0
0
0
4
0
32
32
8
8
8
16
16
16
16
0
16
16
16
0
8
2
8
0
0
0
0
1
0
16
2
2
0
16
1
16
0
4
4
0
8
16
16
16
0
16
16
33
1
1
0
0
1
8
8
32
40
0
4
20
8
2
2
0
0
0
0
8
8
8
0
0
0
0
16
0
8
1
1
0
8
8
4
4
0
0
8
8
8
24
24
24
5
0
16
8
0
0
0
16
16
19
19
19
8
16
16
0
0
0
8
8
8
14
14
2
0
0
0
0
8
2
32
1
20
0
0
0
0
4
24
24
0
0
0
8
0
1
0
16
16
25
25
0
0
0
16
8
8
8
8
4
4
4
2
8
8
1
1
0
0
0
2
0
0
0
16
12
8
0
0
0
8
8
14
8
8
4
4
0
2
24
24
0
0
0
24
2
4
0
0
2
2
0
8
8
0
0
16
0
8
8
0
0
0
8
8
8
4
16
16
16
8
8
8
0
8
8
4
4
0
8
0
0
12
12
0
0
0
0
0
0
5
0
0
8
0
0
0
1
1
16
16
8
4
20
4
8
0
0
0
0
0
16
18
16
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
0
0
16
16
24
16
1
4
4
0
16
16
16
1
1
1
4
4
8
8
0
24
4
4
4
4
8
8
44
0
0
0
4
16
16
0
0
8
8
8
0
0
0
16
24
8
0
0
0
0
0
8
0
0
0
0
0
0
0
0
8
0
0
6
0
0
0
0
0
24
24
30
30
30
8
8
0
8
8
8
16
17
1
1
0
0
1
12
24
8
0
0
0
2
2
32
4
1
16
0
0
0
0
24
24
16
8
16
16
4
4
0
0
40
0
0
8
0
4
4
4
16
16
4
4
0
6
16
10
10
1
0
16
16
16
16
16
0
0
0
0
0
16
16
0
8
8
8
0
0
0
0
0
8
8
8
0
0
0
16
16
1
16
4
4
0
0
0
0
0
8
8
8
8
8
8
4
4
4
0
4
17
17
1
18
18
32
32
32
8
32
32
2
18
18
0
0
0
0
0
8
0
8
16
0
4
0
0
2
2
2
2
8
8
8
0
0
0
1
8
0
0
0
0
8
2
0
0
0
24
8
8
50
50
50
50
8
16
16
16
16
16
16
16
16
0
1
8
8
8
2
0
9
0
0
16
0
8
8
8
0
0
16
16
4
4
0
2
2
0
0
0
0
8
8
16
16
0
0
0
0
0
16
16
4
0
0
0
0
0
16
16
0
0
0
2
2
0
8
8
0
10
0
16
8
8
0
0
0
17
17
0
0
0
16
0
8
8
8
4
20
0
0
25
16
16
8
8
0
0
0
0
0
2
2
2
8
32
8
8
8
0
0
0
0
0
0
0
0
0
0
0
8
4
0
0
0
2
16
0
0
20
0
0
0
0
0
4
1
0
4
4
8
8
8
0
0
0
0
0
0
2
2
0
0
0
31
28
0
0
0
0
4
4
8
0
0
0
0
0
0
24
24
0
0
8
8
8
0
4
0
0
0
0
0
0
0
16
16
17
1
16
17
0
0
8
0
8
8
0
0
8
8
8
1
1
0
16
0
0
18
2
8
8
16
16
16
16
16
0
0
0
0
0
32
16
2
4
8
9
17
0
16
8
0
0
24
0
0
0
24
24
8
8
8
8
0
8
8
8
8
8
0
0
0
0
18
0
0
8
8
8
4
4
0
4
0
0
8
0
0
0
0
0
0
59
16
8
0
5
5
18
0
0
0
0
0
0
0
0
20
8
8
0
0
17
16
4
4
0
16
16
8
0
0
4
4
4
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
16
16
8
8
8
32
32
0
0
0
0
0
0
8
0
25
20
20
16
8
8
8
8
16
16
8
8
8
8
8
8
8
0
12
24
24
0
8
0
0
0
8
8
24
24
8
0
8
8
8
0
0
0
0
0
0
0
8
0
8
0
24
2
2
8
8
8
8
16
8
2
2
2
2
16
16
16
16
16
16
16
1
1
1
1
28
28
8
0
0
0
2
16
16
8
8
8
10
2
22
1
1
14
14
0
8
16
0
0
0
0
0
0
0
2
2
2
2
2
2
0
0
16
16
16
16
16
16
16
16
8
8
8
0
8
8
0
8
16
16
16
16
16
8
0
0
0
16
16
8
0
0
0
8
1
0
0
0
0
1
1
0
0
0
32
8
8
16
16
16
16
16
0
0
0
0
0
1
16
1
0
0
0
1
1
16
16
0
16
0
8
8
8
8
8
8
16
16
0
0
8
0
0
1
8
16
16
4
0
0
4
4
4
0
0
8
0
0
0
33
33
0
0
0
0
8
0
8
1
9
0
0
0
8
16
0
1
8
8
16
8
2
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
8
8
8
16
16
0
0
0
4
4
4
0
0
0
4
16
0
16
16
8
8
0
16
0
0
1
1
0
0
0
16
16
17
16
0
28
8
8
0
0
4
22
0
0
0
0
2
2
2
8
0
0
0
0
0
0
24
0
0
0
12
1
0
0
0
0
18
18
26
0
0
0
0
8
8
8
4
28
4
12
8
8
0
8
8
0
9
0
0
0
8
8
24
16
4
20
0
0
8
0
8
0
12
12
12
12
12
12
12
12
12
12
12
4
17
1
1
0
0
0
0
16
0
4
4
4
8
8
0
0
0
0
16
16
24
16
0
8
8
8
8
4
4
4
0
24
8
0
0
8
0
0
8
16
4
4
0
0
0
4
8
8
0
16
8
8
8
22
0
0
4
1
1
8
8
0
1
4
8
1
9
0
0
16
16
16
16
25
0
16
1
0
8
8
8
8
0
0
0
8
16
16
0
8
8
8
4
16
8
8
8
8
8
0
16
4
4
4
16
16
0
0
0
0
0
2
0
24
24
0
16
4
8
8
8
8
8
8
12
8
8
8
0
0
0
10
2
2
16
16
8
0
0
0
0
0
0
0
16
8
8
8
0
0
0
0
8
0
57
57
2
2
2
0
0
8
8
8
16
16
0
0
0
0
20
4
4
0
16
24
24
32
4
4
4
16
16
16
16
16
16
16
8
8
8
8
8
8
24
2
4
0
0
1
1
4
4
4
4
4
8
12
8
8
34
34
0
0
0
0
2
0
0
16
16
16
16
16
16
16
16
12
12
16
16
4
20
4
0
0
8
8
8
8
8
8
8
8
8
8
0
28
4
16
16
16
16
0
32
16
48
48
8
8
8
16
16
16
16
16
16
16
8
8
8
24
24
24
26
26
0
6
0
8
44
0
0
0
16
8
8
8
8
8
24
16
16
16
16
16
8
8
8
8
4
0
16
16
16
16
8
24
8
32
32
32
0
0
0
32
31
31
31
0
0
0
0
4
8
0
0
0
0
0
0
18
2
2
0
1
1
0
0
0
8
8
4
24
1
1
1
1
8
8
4
4
8
8
8
8
8
2
2
2
50
50
8
3
3
3
3
3
0
0
16
8
33
8
16
16
8
8
0
20
0
0
2
2
2
2
36
8
8
0
4
4
4
8
8
8
4
4
8
8
0
0
0
8
12
4
8
2
2
0
1
8
8
8
8
0
0
0
20
8
0
1
1
0
0
0
8
8
16
16
16
16
16
8
0
1
1
1
1
2
2
2
8
8
8
0
0
8
8
8
0
0
0
8
24
0
0
8
8
8
8
8
0
0
16
16
16
16
16
0
0
0
0
0
16
16
8
16
16
2
1
1
8
8
8
8
0
0
18
18
0
0
8
24
16
16
16
16
16
16
32
2
2
8
8
0
20
16
8
4
0
2
2
2
8
16
11
11
11
11
16
0
9
8
8
8
24
24
0
8
0
0
0
0
16
16
60
0
0
0
8
8
8
0
0
0
32
0
1
4
4
4
12
0
0
0
0
0
0
0
0
16
4
4
4
2
0
0
1
1
1
1
1
1
1
8
0
24
24
4
4
0
2
2
34
34
34
34
34
8
16
16
16
16
0
8
8
0
4
0
16
16
0
0
0
8
32
32
0
2
2
0
1
8
8
1
32
0
8
8
4
4
0
4
4
4
4
4
4
4
4
0
0
0
8
8
7
7
4
4
4
8
8
8
8
8
5
5
5
24
24
2
10
4
4
28
24
8
0
0
0
0
8
8
16
16
4
0
8
8
4
0
48
16
16
0
16
16
8
8
4
4
4
4
0
8
1
1
8
24
4
0
0
0
0
0
1
1
0
48
48
60
0
0
16
16
20
16
4
8
28
8
8
8
12
12
8
0
0
1
0
8
8
8
1
1
1
1
1
1
1
8
8
16
16
16
16
6
6
12
12
12
12
2
0
16
16
16
16
8
8
0
4
4
0
0
16
16
16
16
2
16
8
1
17
8
8
8
0
0
8
8
0
8
8
0
8
0
0
0
0
8
9
9
8
0
8
8
8
8
8
8
8
24
24
0
8
0
8
24
0
0
9
8
8
8
8
8
8
0
16
16
8
16
16
16
16
16
32
32
8
30
2
20
1
24
8
8
0
40
8
8
8
8
8
0
0
16
16
8
0
0
0
0
0
0
0
0
0
0
8
8
0
8
34
2
6
6
6
0
8
0
8
0
0
0
0
0
16
16
10
4
0
0
0
5
5
21
4
12
8
16
16
16
0
8
4
25
0
1
1
1
4
12
0
16
16
0
0
4
32
16
0
8
16
8
8
0
0
3
0
8
8
8
8
8
1
10
10
4
4
4
24
24
8
0
32
32
0
6
6
6
4
4
1
1
1
1
18
18
18
18
2
2
0
0
4
0
0
0
8
8
8
0
1
8
16
16
0
0
8
4
4
4
8
8
8
0
8
0
0
8
0
8
8
8
4
8
8
8
6
16
16
8
16
8
8
28
28
8
16
24
16
0
8
0
0
4
4
4
20
4
16
4
8
8
16
4
8
8
8
8
2
22
18
0
0
61
61
0
0
0
8
8
8
0
0
0
24
1
27
20
0
0
0
0
0
0
8
8
8
4
2
8
2
12
8
0
16
0
16
8
8
8
8
16
16
16
8
17
17
17
8
8
4
12
4
4
4
0
0
0
0
16
4
0
8
8
0
8
24
8
9
8
8
8
8
2
2
2
8
2
2
2
4
4
52
2
9
1
8
8
0
0
4
4
4
4
10
2
24
16
3
3
3
8
4
4
4
2
10
30
8
4
0
0
2
8
24
8
8
8
4
24
8
8
32
24
16
16
0
0
0
8
8
8
8
8
8
8
8
0
0
0
0
0
4
4
8
0
0
0
0
0
8
8
1
0
16
1
8
8
8
8
8
8
8
0
27
27
27
0
16
8
8
8
2
1
0
40
40
8
16
24
8
8
8
8
8
8
8
1
1
0
8
1
1
1
1
2
8
1
1
0
34
8
2
0
0
16
8
8
8
1
8
8
2
2
2
8
20
52
11
11
11
0
16
16
4
8
32
32
32
32
8
4
8
8
8
2
2
16
56
0
0
33
33
53
0
0
0
32
32
0
4
4
16
0
0
53
53
32
16
8
16
16
4
1
1
1
0
8
8
8
0
8
8
8
28
28
48
8
0
12
12
0
0
9
8
8
8
8
8
24
24
24
24
37
37
37
0
24
24
8
8
8
0
0
0
0
0
8
8
8
8
8
0
16
50
16
8
0
0
16
16
8
2
2
8
0
0
8
0
0
0
0
9
16
3
1
8
0
2
0
16
0
9
9
48
32
4
8
8
0
8
8
8
8
0
0
0
0
0
4
4
4
0
0
8
16
16
16
16
8
8
8
0
2
16
8
8
8
0
25
25
0
8
8
0
0
0
0
4
8
4
5
0
16
16
16
16
16
8
8
8
8
8
8
26
26
8
0
1
1
1
2
2
2
0
8
0
16
16
16
16
16
0
0
8
0
4
4
0
2
8
8
8
8
8
8
8
16
16
0
1
1
2
8
0
1
4
16
16
8
16
16
0
0
0
0
0
0
8
0
4
4
4
4
8
16
16
0
0
0
20
3
23
8
8
8
16
16
16
0
16
16
0
0
1
2
2
2
16
0
0
16
16
16
16
16
16
0
4
0
8
4
4
4
16
4
4
4
4
4
4
0
0
0
0
33
8
1
1
1
1
1
1
1
1
1
14
0
0
2
8
8
0
0
0
8
0
0
0
3
2
2
2
0
0
0
0
16
20
20
8
8
8
8
1
0
2
0
0
0
8
1
0
16
16
8
8
8
8
8
1
1
16
16
8
0
1
1
1
8
8
8
8
0
0
4
0
8
8
8
8
24
0
4
4
4
4
17
17
0
0
0
16
16
16
16
24
24
24
0
0
0
0
16
16
0
1
17
0
0
0
1
1
1
1
1
1
0
5
2
2
24
8
4
4
4
4
16
16
16
16
8
0
1
5
1
1
1
1
16
0
0
16
16
0
0
0
16
8
0
8
17
17
17
0
10
10
10
10
10
0
1
1
4
0
8
8
8
4
8
8
8
8
2
2
4
8
12
8
8
8
8
8
16
16
24
24
16
16
8
4
4
0
16
16
16
24
0
0
0
0
0
0
16
57
4
4
0
0
16
16
16
0
1
1
1
1
8
8
0
0
0
16
0
0
8
0
0
4
4
4
4
1
1
16
24
8
8
0
32
32
32
4
16
0
16
0
0
8
8
4
4
0
8
8
8
16
16
0
8
0
5
4
0
0
0
4
0
0
16
16
8
0
8
16
16
4
4
16
8
8
8
28
2
2
4
0
0
0
0
4
0
0
0
4
4
12
0
0
8
8
8
1
0
8
8
8
8
8
8
8
5
5
5
8
1
2
8
8
4
2
2
0
0
0
0
0
5
8
8
0
0
4
4
4
4
4
4
16
0
0
0
0
8
8
16
0
0
1
16
8
8
8
0
8
16
16
0
0
2
2
8
8
8
0
8
8
8
8
8
0
8
8
8
32
0
8
16
16
8
20
0
4
0
1
8
8
16
2
2
2
0
8
1
1
1
56
8
0
0
4
4
4
0
0
0
0
8
8
0
16
16
16
8
8
8
0
8
8
0
8
19
19
16
4
8
8
8
0
1
1
8
8
4
0
0
0
0
4
0
0
0
0
8
16
10
4
4
4
1
1
16
16
4
16
8
8
8
8
8
16
16
8
8
8
16
0
16
16
16
16
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
0
4
4
16
16
0
8
0
8
8
8
0
0
16
16
8
8
16
12
1
1
1
1
17
1
1
24
8
0
4
4
1
1
5
0
0
8
8
0
0
4
57
57
1
8
0
0
8
8
28
28
0
8
8
8
8
22
16
16
16
0
0
0
0
0
1
1
0
8
2
2
9
1
1
16
16
18
10
10
8
0
0
20
20
20
16
0
4
4
1
0
49
0
0
8
8
8
8
0
16
0
6
16
16
16
2
0
28
4
8
2
8
0
9
8
2
2
2
2
2
8
8
8
0
4
8
8
2
2
12
4
4
4
4
4
8
16
16
16
16
48
8
8
16
16
4
8
48
0
8
8
8
0
0
0
0
0
0
0
4
4
4
4
16
0
8
8
8
8
8
8
8
4
4
4
8
8
24
0
8
0
24
24
0
0
19
19
0
0
1
16
8
8
12
8
0
17
8
8
8
8
8
2
8
8
8
8
16
3
2
0
0
16
16
4
16
0
0
16
53
0
1
1
1
1
0
16
16
0
17
17
17
8
8
0
8
16
16
8
8
8
4
4
0
0
8
1
8
9
8
8
8
8
8
0
0
2
2
16
16
16
8
1
16
16
1
1
1
0
0
8
8
0
0
8
8
0
0
0
0
0
4
0
0
20
0
8
8
8
8
8
12
16
16
16
2
8
8
16
0
0
2
0
0
0
0
0
1
16
16
8
8
8
8
8
8
0
16
16
8
4
4
0
48
32
16
16
8
8
8
8
1
1
8
8
0
6
2
2
2
16
0
4
20
4
0
8
16
8
26
8
16
8
8
8
8
16
16
16
16
16
0
16
0
0
0
0
0
0
20
0
24
4
1
1
0
1
0
8
8
8
8
8
8
8
8
8
8
8
4
4
4
0
2
2
0
16
17
24
24
0
0
24
8
2
2
2
16
16
16
16
8
8
0
16
12
4
17
17
17
17
16
0
8
8
16
33
33
8
8
8
8
8
8
8
0
8
8
0
16
16
24
16
16
24
16
0
0
8
8
2
8
1
8
8
8
8
0
0
24
24
16
1
16
16
11
16
8
8
8
8
8
8
8
32
8
8
0
8
8
8
8
0
10
10
8
8
0
0
0
27
27
4
8
2
0
0
0
0
0
0
0
16
9
24
24
24
8
8
8
16
16
8
8
16
16
16
8
16
0
2
2
20
16
16
16
8
8
0
8
24
24
0
8
8
8
8
8
8
8
16
16
52
52
52
0
24
8
10
8
0
0
8
8
8
28
28
24
24
24
24
16
16
16
16
16
16
10
26
16
16
8
0
0
8
8
8
8
8
8
0
0
0
0
0
0
0
0
8
8
0
8
1
1
1
0
0
0
0
16
1
1
1
1
8
8
8
8
8
8
8
26
0
8
8
8
8
8
8
8
8
8
8
8
17
1
1
0
20
0
16
16
8
16
4
4
16
16
16
16
16
0
4
4
16
6
2
56
16
8
8
0
0
24
16
2
20
20
8
8
17
9
8
8
24
8
16
1
1
16
16
16
16
0
0
0
0
16
8
20
16
62
8
8
8
4
4
0
0
20
4
16
0
0
8
8
8
8
0
16
1
56
24
0
0
0
8
8
0
0
8
8
8
4
4
8
8
0
0
0
0
16
16
16
26
4
8
0
0
0
16
8
8
8
16
16
8
16
16
0
0
0
8
0
2
2
0
4
4
0
0
0
12
8
8
8
8
8
8
8
8
8
0
16
8
8
8
24
16
0
16
16
16
0
0
0
16
8
8
8
9
0
0
0
0
0
8
8
8
8
0
1
1
0
8
8
8
16
16
24
0
16
8
8
4
2
0
16
16
16
4
0
16
16
0
0
1
1
1
1
8
0
16
32
32
8
8
24
8
8
0
8
8
29
17
8
0
0
0
8
8
8
8
8
8
8
13
8
0
0
0
1
1
1
16
16
0
8
8
0
16
8
8
0
16
16
16
24
24
8
8
0
8
0
8
8
0
0
0
0
8
8
16
16
16
16
16
8
24
4
0
16
16
16
8
26
0
0
0
0
0
1
1
1
1
0
16
16
8
0
0
0
0
0
1
48
4
4
4
2
17
19
8
8
8
8
8
8
8
16
12
8
8
8
8
8
24
0
8
8
8
0
0
16
16
16
4
4
36
4
12
0
8
0
16
0
0
0
16
8
8
8
8
0
8
8
8
8
28
0
0
8
8
8
8
4
4
0
8
8
8
8
2
18
2
8
4
0
4
4
48
8
8
8
0
16
0
8
8
21
21
21
0
17
1
1
1
1
24
16
17
0
0
0
0
0
0
4
3
28
28
28
4
0
0
24
0
8
8
0
0
0
0
8
8
8
8
26
6
18
8
0
2
8
24
0
0
8
8
8
4
2
16
16
0
24
24
24
8
8
8
8
8
0
16
0
0
0
2
0
8
24
1
1
2
2
1
49
32
1
16
4
4
4
0
0
0
0
0
0
16
8
0
8
24
16
8
24
0
0
8
8
8
8
16
8
8
8
0
3
3
3
3
2
2
8
1
1
16
1
0
16
0
0
2
2
16
16
0
1
1
16
16
16
16
16
16
8
0
0
16
8
8
8
8
8
8
8
0
0
4
16
16
1
1
1
0
24
8
8
8
4
0
8
8
16
2
0
0
0
8
24
8
8
8
8
8
24
6
8
0
0
0
0
0
8
0
8
0
16
16
0
0
8
8
8
1
1
28
28
16
16
25
25
25
16
16
8
8
8
8
8
8
8
8
8
16
16
16
17
0
4
61
61
0
0
8
4
16
1
16
0
0
16
16
0
0
21
8
18
16
16
16
16
0
4
20
4
8
12
4
16
2
22
4
20
16
16
0
0
0
8
8
12
0
2
18
18
0
8
8
8
8
8
8
8
8
4
18
18
0
0
4
4
1
4
4
32
4
1
17
16
16
0
0
0
0
0
8
8
4
4
4
4
8
16
4
4
0
25
6
6
8
8
0
0
8
8
8
8
8
8
0
0
0
8
8
8
8
8
2
24
2
2
2
0
8
16
16
16
0
8
8
8
1
1
20
8
4
4
12
8
0
2
2
8
8
8
0
8
8
8
0
4
20
8
12
12
12
12
12
12
12
12
4
4
2
0
0
0
1
0
0
0
0
16
16
8
8
0
0
0
16
16
8
13
8
2
2
16
16
16
4
16
0
0
16
0
0
0
0
0
4
4
4
8
0
0
8
8
0
0
8
8
0
8
16
16
20
20
8
18
16
16
8
17
16
8
0
8
0
8
8
8
1
16
16
0
16
0
8
8
16
16
18
8
8
0
2
2
2
0
8
8
48
48
8
6
2
0
1
1
16
16
1
1
0
8
0
20
20
20
16
8
16
16
16
16
8
4
4
8
8
8
8
8
8
8
16
0
0
2
2
0
8
8
8
0
1
8
2
2
2
0
0
8
8
20
20
20
0
0
10
10
0
5
21
0
0
0
0
2
2
4
8
2
2
2
0
0
0
0
4
8
8
8
8
8
1
4
0
0
16
8
8
0
16
17
17
17
0
16
17
8
8
8
16
16
16
8
4
8
8
0
0
0
0
8
8
8
8
8
8
0
8
8
8
8
8
8
8
8
4
4
0
0
4
4
4
0
0
0
0
0
0
0
4
4
16
16
16
16
16
16
16
0
8
16
18
0
17
0
4
0
0
2
0
0
0
0
0
24
8
8
8
1
1
4
8
8
8
0
4
0
8
8
24
24
8
2
2
2
8
8
4
4
0
0
0
0
0
0
0
0
0
0
8
0
0
8
16
16
16
24
24
20
20
0
0
48
16
0
20
4
8
8
24
8
3
4
8
0
8
8
8
8
0
0
0
0
24
33
41
8
0
16
8
8
8
8
8
8
0
8
8
0
2
0
0
0
16
1
1
16
0
3
8
0
16
16
16
16
2
2
2
2
8
16
16
12
1
3
3
3
3
3
3
0
16
8
0
16
0
4
8
8
8
8
8
8
8
8
8
8
20
0
0
8
16
8
8
0
0
24
24
24
24
7
7
7
7
7
0
8
0
0
0
0
16
16
1
8
8
16
0
0
0
14
8
8
32
32
32
32
32
32
8
8
8
8
8
8
0
1
1
8
16
16
16
8
4
8
12
4
8
0
0
0
0
16
16
2
2
0
8
16
16
24
20
20
0
10
10
0
8
0
8
8
8
0
8
8
16
16
16
16
16
16
16
4
4
32
32
0
8
8
8
4
4
4
4
16
16
1
1
0
0
8
8
8
24
17
17
16
8
8
8
8
0
0
2
8
8
8
8
8
8
8
8
8
16
16
16
0
0
0
24
0
1
8
8
8
0
12
12
8
8
8
8
8
8
16
25
4
4
0
3
1
8
8
0
0
16
12
0
1
1
4
4
6
0
16
16
16
16
0
0
0
0
2
2
2
1
1
1
4
16
8
8
8
16
16
4
16
0
16
17
16
8
16
1
2
8
8
8
8
8
8
2
16
8
8
8
8
8
8
8
1
8
8
8
0
0
0
8
8
8
16
16
8
8
8
8
8
24
4
8
8
0
8
8
8
8
8
0
0
1
1
1
1
1
1
1
1
1
2
0
0
8
8
0
8
5
1
24
24
4
4
4
16
4
0
2
8
0
24
8
8
16
0
17
8
8
8
8
16
16
0
1
1
1
1
8
8
16
8
8
8
0
0
0
0
0
4
4
4
4
4
0
0
0
16
16
8
0
0
0
0
0
0
0
4
16
12
0
0
8
2
0
0
0
0
0
0
10
0
0
8
8
8
0
16
4
38
38
0
8
8
8
8
16
16
0
16
16
16
1
1
1
8
0
0
0
5
6
2
24
24
2
2
10
8
46
42
16
16
20
6
8
8
1
1
0
16
0
0
8
8
4
4
4
0
0
0
8
1
1
1
0
24
16
0
1
1
1
1
0
8
8
8
8
8
8
8
8
0
0
0
0
16
16
16
8
0
0
0
0
16
16
16
0
0
8
4
4
4
16
0
8
8
8
16
16
0
8
4
4
4
4
4
4
4
4
4
4
4
16
16
16
6
6
6
0
24
0
0
8
8
18
2
0
16
16
8
8
0
16
16
18
16
16
20
20
24
16
16
16
8
16
1
8
8
16
0
8
8
8
8
0
0
0
8
8
17
0
0
8
16
2
2
0
14
8
8
8
0
8
8
8
8
8
8
8
8
4
4
4
16
16
16
20
20
20
0
1
8
8
8
16
16
16
6
6
0
3
4
4
8
8
8
8
8
8
8
0
0
8
8
0
1
0
16
16
8
0
16
4
2
2
2
5
4
4
4
4
0
24
24
24
0
0
0
4
4
4
0
0
12
16
0
8
8
8
6
0
4
16
8
0
16
8
8
8
8
4
16
16
16
8
4
8
20
20
8
8
8
0
0
8
24
8
12
8
8
8
8
24
24
24
20
8
0
0
8
8
8
16
5
4
0
8
8
8
8
8
16
0
2
2
8
8
8
8
8
12
12
0
0
24
8
0
22
24
16
0
0
0
16
16
0
0
8
1
1
0
0
8
8
0
8
10
8
11
2
8
10
16
8
8
1
1
0
0
0
1
1
0
1
8
8
0
16
16
0
8
28
8
16
16
16
16
4
4
0
0
8
8
8
8
8
8
0
4
4
16
16
16
16
16
16
0
16
20
16
20
12
2
2
33
32
8
8
8
8
0
0
16
16
16
8
8
8
24
0
8
0
0
8
8
8
8
8
25
24
24
24
0
0
0
0
0
1
1
1
0
28
4
4
1
1
1
4
4
4
41
8
8
12
16
0
1
16
2
0
0
0
0
0
0
32
0
0
0
0
4
8
8
8
0
0
0
16
1
1
1
8
8
4
8
8
1
1
1
8
8
8
2
18
18
18
2
2
2
2
18
0
16
16
24
0
1
0
0
1
1
0
4
8
8
0
24
24
45
36
36
8
0
2
2
8
1
24
8
0
0
0
0
1
32
32
0
0
8
8
0
6
6
6
4
0
8
8
4
8
40
40
40
0
0
16
12
12
4
4
8
8
8
8
8
8
0
8
8
0
0
1
1
1
8
8
4
4
4
0
0
0
0
8
8
8
0
0
0
0
0
18
2
3
3
8
8
0
0
0
16
16
16
16
16
16
16
16
16
16
4
4
4
4
4
8
8
8
8
8
0
22
16
8
8
0
8
33
33
8
8
16
0
0
0
8
8
56
56
56
8
8
8
8
8
8
8
8
0
0
16
16
16
8
8
8
0
8
0
24
16
8
0
0
28
29
2
4
4
4
8
0
0
8
0
0
8
8
16
8
8
0
8
8
8
0
0
0
0
1
16
16
0
8
8
8
16
16
0
26
26
26
8
8
8
0
0
0
0
4
16
16
16
16
8
8
0
0
0
16
16
16
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
16
0
0
0
0
42
42
42
20
32
32
32
8
8
8
2
2
8
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
16
0
0
6
8
2
2
4
8
8
4
20
1
0
0
8
8
16
16
16
16
16
0
8
8
8
8
0
0
0
0
16
8
8
8
8
8
8
8
8
8
1
8
8
8
8
0
8
8
8
16
16
8
8
8
8
16
16
16
8
16
4
8
0
16
16
16
24
24
0
0
4
4
1
8
8
8
4
4
8
4
4
4
8
8
4
4
4
16
8
8
0
0
0
0
0
4
36
5
16
0
20
16
16
16
16
8
8
8
8
0
8
8
0
0
4
4
4
2
16
16
20
8
8
16
8
1
1
1
1
1
8
8
1
0
0
0
0
4
4
0
4
4
4
16
0
1
13
1
8
4
4
0
4
12
8
8
16
0
0
4
4
4
4
4
16
24
20
20
16
16
16
16
0
0
0
0
10
10
10
10
0
1
33
8
2
0
0
0
0
8
8
8
8
0
8
1
0
0
0
0
4
0
8
0
0
8
16
0
0
8
3
3
0
0
2
10
8
10
10
10
10
10
8
8
8
16
0
0
0
8
0
0
8
8
8
8
8
8
1
1
1
1
0
8
8
8
32
32
38
0
0
8
8
8
1
1
0
8
8
0
16
8
8
8
0
0
0
0
0
8
8
0
8
16
0
16
8
8
16
0
0
2
1
0
24
16
2
2
0
0
0
8
18
0
4
0
0
0
16
0
16
16
0
4
0
0
0
0
0
0
8
8
16
2
0
0
8
0
0
0
9
9
24
16
16
16
8
8
4
4
8
24
8
8
4
4
0
8
8
8
0
8
8
8
8
8
0
0
0
0
1
16
8
8
8
4
4
0
0
16
9
8
0
8
1
9
0
0
16
16
16
16
1
1
1
8
8
8
8
8
16
10
0
0
12
0
0
6
6
1
1
1
0
0
0
16
0
0
0
5
4
8
8
8
8
4
0
0
2
2
8
8
8
8
8
8
8
8
5
9
0
0
0
0
8
8
16
16
16
16
8
0
0
0
0
8
8
2
2
2
2
4
4
4
4
4
4
4
4
4
4
4
4
0
0
8
32
32
8
34
34
34
4
4
20
4
8
0
4
4
4
0
8
8
28
0
0
0
16
16
16
0
8
8
8
16
8
8
0
24
24
32
32
32
32
32
32
0
2
0
8
0
8
16
16
16
8
8
4
0
9
0
0
0
0
0
0
1
1
0
32
32
0
0
24
24
24
0
0
16
4
2
0
8
0
32
8
8
0
0
32
8
8
0
2
2
2
0
8
8
8
8
16
0
0
4
4
8
8
8
4
24
1
8
8
16
16
16
16
8
8
8
16
8
8
8
8
8
8
8
1
24
4
4
4
4
4
4
4
4
4
32
8
24
24
8
16
2
2
8
8
8
8
4
4
16
16
0
0
0
4
4
0
16
20
16
16
17
8
8
8
0
8
8
8
4
1
1
4
1
16
16
0
0
0
8
24
8
1
1
8
16
8
8
8
4
4
1
1
1
1
1
1
1
1
8
0
8
0
0
0
0
0
0
0
0
0
8
8
0
8
8
0
8
8
0
0
0
0
8
8
8
8
8
8
8
8
8
24
8
8
8
8
1
1
0
0
0
8
8
8
8
0
32
16
32
8
8
8
8
8
0
0
0
0
0
0
0
0
0
8
8
16
16
0
0
16
16
48
48
48
0
0
0
8
0
24
8
16
8
0
8
8
8
8
8
0
0
0
0
0
4
0
8
0
4
16
4
4
4
0
1
1
1
0
16
16
16
16
0
8
0
0
0
0
0
0
0
8
8
4
4
8
16
24
16
16
16
8
0
25
12
42
8
0
8
8
0
1
1
0
16
32
32
0
16
16
16
8
8
8
8
8
8
0
24
24
24
8
0
0
8
8
8
8
8
8
8
8
8
0
8
8
8
0
16
8
8
8
8
8
8
8
8
16
0
0
0
4
4
4
4
0
0
0
0
0
0
0
0
8
8
2
2
2
17
16
16
16
1
8
0
0
4
0
0
8
8
8
8
0
0
4
4
4
4
0
0
0
8
8
8
4
8
8
8
8
8
8
0
9
10
0
0
0
4
4
16
16
0
0
1
0
0
0
8
16
0
2
2
32
32
32
8
16
16
0
16
16
8
0
0
0
2
2
2
8
8
8
8
16
16
16
20
10
10
8
12
4
1
1
4
4
4
4
0
0
0
0
4
4
4
8
0
4
4
4
4
0
0
56
0
0
0
1
1
16
0
0
0
0
0
8
8
8
8
0
0
8
8
8
8
0
0
0
8
16
16
8
8
0
4
12
4
4
16
16
16
16
13
9
8
0
8
8
1
1
1
0
0
0
8
0
0
2
2
2
2
2
0
0
4
4
8
8
8
8
8
8
0
8
0
1
16
16
8
32
9
8
8
4
4
0
0
0
2
2
8
8
0
8
22
16
16
8
0
0
0
8
8
8
8
8
8
16
8
16
16
16
16
0
0
8
2
2
2
8
8
8
8
0
8
8
8
0
16
4
4
16
16
16
8
8
0
0
0
16
16
16
16
0
0
8
0
4
7
7
8
8
0
0
16
24
16
16
24
24
8
8
32
32
32
32
8
8
8
8
8
20
48
48
0
8
8
8
4
8
8
8
8
8
4
4
0
9
0
16
16
16
0
8
8
8
0
0
8
16
16
1
1
1
1
1
17
16
4
4
0
0
0
0
8
8
10
0
0
0
16
16
0
0
8
16
16
0
4
4
8
8
8
8
8
0
8
0
0
0
0
0
0
8
8
8
16
8
12
8
8
8
8
8
16
16
16
16
2
2
2
14
2
8
8
24
24
8
8
16
8
8
0
0
0
0
0
4
4
1
8
8
0
0
4
32
8
4
8
8
8
8
0
0
8
8
8
8
0
0
0
16
2
2
8
0
8
8
0
0
0
32
0
0
0
0
8
4
0
24
8
1
1
8
8
8
8
8
8
8
12
0
0
0
16
16
16
16
16
20
0
0
0
24
16
0
16
24
1
0
8
8
0
2
4
16
16
24
8
8
0
1
8
8
8
9
9
16
0
8
8
0
8
24
0
8
0
8
8
8
0
8
2
18
32
48
48
17
17
0
8
8
8
8
8
20
20
20
16
8
0
10
10
10
8
8
10
10
0
2
2
0
8
8
0
0
2
2
8
8
8
0
16
16
2
24
9
9
0
0
24
8
0
2
16
16
18
5
5
1
8
8
4
4
4
8
8
16
24
0
0
16
16
8
8
8
8
8
4
4
4
4
16
0
0
4
4
4
4
4
4
4
1
0
10
2
8
0
2
0
0
30
30
30
30
30
0
8
8
0
0
0
16
0
8
0
0
16
16
8
8
8
8
8
24
8
24
0
4
12
8
8
8
8
8
8
8
8
8
17
0
0
8
8
8
0
0
4
0
0
16
24
8
8
16
4
8
4
0
0
2
2
6
8
0
0
0
4
4
1
16
16
4
4
8
1
16
8
16
16
16
8
8
8
1
4
8
49
16
8
4
8
4
0
0
5
4
4
0
0
0
1
2
10
0
0
48
8
17
16
16
0
16
16
2
0
48
32
32
16
25
16
16
16
8
8
8
20
8
8
8
8
2
2
2
2
8
8
8
8
0
24
16
16
0
2
2
2
2
0
0
0
0
0
16
0
0
0
8
8
0
0
4
4
4
4
4
4
4
4
24
24
1
4
8
0
16
16
16
16
16
16
16
0
16
16
4
4
4
0
1
1
0
0
0
0
0
12
12
4
4
4
0
1
1
1
4
0
0
0
2
8
4
4
4
16
0
34
34
8
16
2
4
8
8
8
16
16
16
16
16
0
0
0
0
3
3
4
0
0
0
0
0
0
0
0
0
4
4
4
4
0
16
16
8
8
16
0
0
0
8
8
16
16
8
8
0
0
0
0
24
0
16
2
2
2
8
8
8
8
8
8
8
0
0
0
0
1
0
0
0
0
0
0
24
24
0
0
0
8
8
0
16
16
16
16
16
56
56
17
16
2
2
2
2
2
2
0
0
8
8
8
8
16
8
8
1
16
1
8
16
16
8
16
0
8
1
1
1
1
1
8
0
4
0
2
2
8
8
8
4
8
8
0
12
12
8
8
0
16
0
16
16
16
0
16
16
16
8
16
16
0
8
0
0
0
0
0
0
8
28
6
0
0
0
0
8
8
8
8
8
0
0
4
4
16
0
8
8
16
0
16
0
8
2
2
0
0
8
4
4
16
16
8
8
2
2
0
16
2
2
8
8
8
4
0
0
8
0
0
0
0
4
4
0
0
7
15
8
20
20
20
20
20
20
8
8
8
8
0
0
1
8
8
8
0
0
17
16
8
8
0
16
16
16
7
7
4
4
0
0
16
0
0
8
12
12
0
0
8
0
0
8
8
8
0
0
2
2
2
0
4
4
4
4
8
8
0
0
16
8
8
0
0
8
0
8
1
2
10
2
0
0
0
0
8
8
0
4
0
8
8
8
8
8
0
0
0
0
8
8
4
4
4
4
8
8
0
10
1
0
4
1
16
16
16
16
16
16
16
16
0
0
0
0
0
8
8
0
4
4
4
4
8
0
0
0
8
8
16
0
1
8
8
8
0
0
0
0
16
16
20
20
20
8
8
8
8
20
16
16
16
0
0
4
4
6
6
4
4
4
4
4
4
4
4
2
0
6
8
24
54
54
54
0
0
0
0
8
0
1
1
12
0
0
18
18
16
1
0
5
5
5
0
4
4
8
4
32
40
0
8
8
16
16
16
16
16
16
24
12
8
0
0
1
1
1
16
8
16
16
16
8
8
8
4
4
1
1
13
0
0
32
24
8
8
1
0
14
0
8
8
8
8
8
0
8
8
17
1
17
17
0
16
16
16
4
4
8
8
8
2
2
2
2
8
8
16
16
20
9
0
0
8
8
8
8
16
16
16
8
0
9
0
0
8
8
8
4
0
0
8
0
8
8
24
0
0
0
0
0
0
0
8
8
0
8
0
0
0
0
0
0
24
8
0
8
8
8
8
0
8
8
8
8
8
16
4
0
0
8
0
0
0
8
8
16
16
16
16
16
16
0
0
4
6
2
0
0
0
25
14
25
24
0
8
16
16
16
0
0
0
0
16
16
8
16
8
0
4
0
8
8
16
8
16
0
0
8
0
8
9
8
8
0
24
24
6
0
0
8
0
8
8
4
0
8
8
0
4
8
2
2
2
2
2
2
2
2
8
4
0
0
16
4
12
1
1
1
2
2
2
0
0
16
8
8
8
8
8
8
8
8
0
4
4
16
4
8
0
0
32
24
24
24
0
40
40
2
2
2
2
8
8
8
8
8
8
8
0
1
24
24
2
0
0
0
16
16
8
9
0
0
0
4
8
0
0
0
0
16
16
16
0
8
16
8
8
0
18
16
16
0
18
3
1
0
8
0
8
8
4
4
1
1
32
4
4
4
0
24
8
32
32
32
32
8
2
8
16
16
0
16
0
0
16
16
8
8
8
8
8
0
4
4
32
32
0
0
16
2
2
2
2
2
0
0
8
8
2
2
8
8
8
0
0
16
0
8
8
8
4
8
0
16
2
8
8
8
8
8
0
8
8
8
1
8
8
16
16
0
0
0
8
8
8
0
8
0
0
0
0
16
20
20
48
49
8
8
8
0
1
1
8
8
8
3
0
0
16
16
0
16
16
16
16
16
16
16
8
8
0
24
24
24
24
24
0
16
0
32
0
0
8
1
8
0
2
2
2
8
8
24
8
6
6
6
0
0
4
4
8
1
1
8
24
24
24
24
8
16
16
9
37
24
16
16
16
0
0
0
8
0
16
16
0
12
25
25
25
0
0
16
16
8
16
0
0
0
4
4
4
4
0
8
16
4
8
8
0
0
8
8
8
0
8
33
1
8
0
0
8
4
8
8
8
32
8
8
16
16
9
16
32
8
16
16
0
1
16
0
8
8
8
8
4
8
8
8
2
8
8
8
16
16
8
8
0
0
1
16
16
16
16
16
16
8
25
8
24
24
8
4
4
4
1
1
0
8
0
0
3
16
8
0
0
0
24
16
0
0
0
0
0
0
0
0
0
1
1
2
8
1
4
0
8
2
16
0
0
0
8
8
8
8
8
8
0
0
8
8
8
0
8
0
8
8
16
16
16
8
4
4
8
8
8
8
32
8
8
8
32
0
0
0
8
8
8
40
40
40
8
8
4
4
8
8
8
0
0
0
0
17
16
2
1
1
8
0
0
8
8
8
0
0
8
8
8
8
8
8
8
8
8
0
0
0
0
5
5
8
12
4
8
16
16
0
0
6
6
6
0
8
32
32
32
4
0
16
16
16
0
0
0
1
1
4
4
4
4
4
8
8
8
8
8
8
8
16
4
4
8
0
8
0
0
0
16
16
16
16
16
16
16
16
0
8
8
8
8
8
8
16
16
16
0
0
0
0
0
24
24
24
24
24
8
8
16
6
6
8
0
0
0
0
0
31
31
0
8
8
8
8
8
2
2
2
24
16
16
24
8
8
0
0
4
0
0
0
0
0
0
4
4
0
8
8
8
8
8
0
16
0
8
8
8
16
0
0
0
0
3
4
4
2
16
16
8
8
0
0
0
0
0
0
16
0
0
0
8
0
0
8
0
16
1
1
1
18
0
16
0
0
8
12
16
16
8
8
16
16
0
0
0
0
0
0
24
24
0
16
16
0
8
8
16
16
16
16
4
2
2
2
2
8
8
16
16
16
16
16
0
8
8
8
8
0
4
0
16
8
8
8
28
1
16
16
16
20
16
16
16
0
0
9
0
0
16
1
8
8
8
8
8
0
16
35
10
10
10
10
10
0
0
8
8
8
8
8
8
0
8
16
16
16
16
0
0
0
0
48
48
48
48
48
8
2
2
8
8
8
8
0
4
8
8
8
4
12
4
1
0
8
24
8
8
0
4
4
0
0
16
0
0
16
16
24
4
4
32
16
1
0
18
0
0
0
8
0
0
16
16
16
0
16
8
8
8
8
8
8
8
8
0
27
4
31
16
16
8
8
0
0
0
12
16
0
0
8
16
24
8
8
8
8
0
8
0
8
8
8
8
8
8
8
8
1
0
16
16
0
0
0
8
8
2
16
2
2
2
2
8
0
0
0
0
8
24
24
8
8
8
8
8
8
8
4
20
28
28
0
0
24
0
6
6
8
8
0
1
1
4
4
4
16
16
4
4
0
0
4
4
0
2
2
0
1
20
8
8
0
8
8
8
0
6
0
32
32
40
40
40
40
40
4
4
9
4
2
2
2
0
4
2
16
16
16
8
8
8
2
16
16
16
16
8
16
24
0
0
0
0
0
0
18
18
2
8
0
16
0
16
4
4
18
18
18
16
1
1
2
1
0
8
8
8
8
8
8
8
24
2
2
2
2
4
4
0
4
0
0
0
0
0
0
0
0
2
2
0
0
2
2
20
20
20
0
1
1
8
16
16
0
0
0
8
8
30
8
4
6
4
4
0
0
0
16
2
1
1
1
18
10
8
8
8
0
8
12
8
12
0
0
0
16
16
16
8
16
16
16
8
24
16
16
16
16
8
8
8
8
1
16
24
16
16
0
0
8
0
1
0
0
16
16
16
20
20
20
8
8
0
8
8
8
8
2
0
0
4
4
4
8
8
16
8
8
8
8
8
9
0
8
8
8
8
0
0
16
16
8
8
18
26
26
0
0
0
0
0
8
8
0
0
4
0
0
8
8
8
4
0
4
0
4
16
8
8
0
0
16
0
16
4
8
8
8
8
4
4
0
0
0
0
20
0
8
0
0
8
8
8
8
8
4
12
16
1
0
4
16
0
0
16
0
17
0
0
0
0
0
1
4
4
8
0
0
0
1
2
2
32
0
16
0
8
8
32
1
0
8
16
16
0
0
0
0
16
16
16
32
32
32
40
40
8
0
8
0
1
16
16
16
0
0
0
18
0
32
32
6
8
6
16
8
8
8
8
8
8
24
0
0
4
4
0
0
4
4
4
0
1
1
1
1
1
0
0
0
0
4
0
0
0
1
1
1
12
8
0
8
8
8
8
8
8
8
8
8
2
2
2
0
0
1
1
1
8
8
0
0
8
4
8
8
0
16
16
16
16
16
16
16
1
4
4
1
8
0
0
0
0
0
0
16
16
16
16
0
57
17
17
16
1
8
8
8
20
8
8
8
0
16
16
16
20
16
0
0
2
2
16
2
8
0
8
58
0
0
0
0
0
4
4
0
0
8
8
16
16
8
8
8
1
1
21
16
16
16
8
8
8
8
8
8
2
2
0
0
0
16
0
32
8
1
8
8
0
0
16
16
0
0
8
0
8
8
0
8
8
8
8
1
1
1
1
1
1
1
16
0
8
8
2
0
0
16
0
8
8
2
18
18
4
4
4
4
8
2
2
0
8
8
8
16
0
8
8
8
8
0
0
8
24
8
8
0
0
0
17
10
8
8
8
8
0
0
0
0
24
24
16
40
8
8
0
0
0
8
0
0
0
0
0
16
8
8
16
16
0
0
0
0
0
8
8
8
4
4
4
8
8
4
4
4
2
8
16
16
8
8
8
8
8
8
8
8
8
8
8
8
0
1
2
0
0
16
16
16
0
0
4
16
0
0
0
0
0
0
32
0
0
8
8
4
0
16
16
8
0
0
8
16
4
4
0
16
16
8
0
0
8
8
8
24
0
0
0
0
0
4
4
4
0
16
16
16
16
16
0
0
2
15
2
4
8
1
1
0
0
16
16
0
0
8
8
8
0
8
8
1
0
0
8
0
8
8
8
8
0
8
8
0
4
4
8
8
2
2
24
14
1
0
12
12
16
16
16
8
8
8
8
8
16
16
0
8
4
4
52
52
2
16
16
8
8
0
0
0
1
8
8
8
8
12
1
1
8
0
0
0
0
5
4
8
8
8
0
0
8
8
8
8
8
0
1
1
0
0
0
0
16
16
16
0
8
0
0
0
0
16
16
1
4
4
0
24
0
0
0
2
6
2
2
0
0
2
2
2
2
2
2
2
0
16
3
16
8
6
0
0
0
8
0
0
0
0
14
14
8
24
24
24
0
16
26
0
0
9
16
48
0
0
0
4
8
16
0
0
0
4
8
4
24
0
0
16
16
12
8
16
16
4
8
8
0
8
0
14
2
2
0
8
8
8
8
2
12
0
0
8
8
8
16
16
16
0
16
16
8
0
0
8
8
24
24
16
4
4
4
0
0
24
24
24
4
4
4
4
8
8
16
4
4
2
0
0
16
0
1
0
8
12
12
24
8
4
4
0
8
0
16
16
0
16
0
0
0
16
16
16
8
8
8
16
17
12
8
8
8
8
8
16
17
0
4
4
4
0
0
8
0
0
0
0
0
4
4
4
32
32
32
32
32
1
1
1
0
0
0
8
8
8
0
0
0
8
8
0
0
24
8
2
2
0
18
0
0
0
8
0
10
8
8
4
0
16
16
8
16
2
8
8
8
2
2
2
2
16
16
16
4
8
8
8
17
8
8
8
0
8
24
8
8
8
8
8
0
8
8
4
4
0
8
16
2
2
8
8
8
1
1
0
16
16
16
0
8
26
16
4
32
8
1
1
1
1
8
8
8
8
8
16
8
8
0
8
25
8
8
16
8
0
0
8
8
16
16
0
8
32
32
0
0
0
0
8
0
8
2
32
8
0
0
0
0
0
0
24
8
8
8
8
16
16
0
20
20
4
0
0
1
1
1
0
0
8
16
2
2
2
2
2
8
8
0
0
0
8
8
2
0
0
0
1
1
1
8
2
2
0
2
2
8
2
28
20
0
0
25
8
4
0
0
0
8
8
8
8
8
0
0
0
8
8
8
8
16
16
16
8
4
28
4
0
4
9
18
16
16
4
4
17
9
16
16
16
24
24
24
24
0
0
16
16
16
0
8
8
1
0
0
0
0
0
0
8
0
24
0
0
0
0
0
0
4
8
8
8
0
2
2
18
16
16
16
0
25
17
0
0
0
2
2
0
0
0
0
16
16
16
24
24
26
16
16
16
8
8
8
8
8
2
2
36
16
0
0
8
0
9
24
24
1
1
12
8
8
8
0
0
8
8
8
0
8
0
0
8
0
0
0
4
4
0
0
0
16
8
8
8
0
0
16
16
16
0
8
0
2
1
24
8
8
0
2
2
2
2
2
2
2
2
0
16
0
0
8
8
8
8
8
8
8
8
24
16
16
1
1
1
1
1
1
1
8
8
0
8
8
8
8
8
8
8
8
0
0
0
12
4
0
0
4
4
2
8
8
8
0
8
0
0
0
0
16
16
8
8
8
8
0
0
0
20
20
8
0
8
8
8
1
1
16
8
16
16
0
0
8
8
0
8
8
16
2
2
2
2
2
12
0
0
8
16
16
8
8
8
8
8
0
0
0
0
0
16
16
16
8
8
8
50
32
32
32
8
0
0
0
2
2
0
0
0
8
8
8
16
16
16
8
8
59
8
0
0
8
16
16
16
8
0
0
8
8
8
8
32
8
8
0
16
16
0
0
9
8
9
24
16
0
24
8
0
12
12
12
12
12
12
12
12
16
16
16
0
0
2
6
8
8
16
16
16
0
8
8
17
0
8
8
8
16
16
16
16
16
0
0
0
16
24
1
0
9
0
6
6
18
2
2
0
0
33
0
8
8
0
0
0
0
0
2
0
16
0
0
0
0
0
0
8
16
16
8
8
8
8
8
8
17
44
61
0
8
4
0
0
0
5
0
0
0
0
8
0
0
12
4
2
2
2
8
8
8
0
0
0
0
1
8
0
0
0
32
8
8
4
41
0
0
8
8
8
5
5
5
0
0
0
8
25
25
0
0
8
8
8
17
1
0
24
24
0
0
8
8
0
0
0
0
0
8
8
16
16
32
32
0
16
27
0
25
17
16
8
16
0
0
0
8
8
8
8
8
0
0
0
8
8
8
8
8
0
8
8
8
8
0
0
0
0
8
1
0
16
16
16
16
16
16
16
16
28
0
0
4
8
8
8
0
16
1
8
8
8
8
1
32
32
0
16
0
8
8
8
8
8
0
8
8
8
22
22
22
8
8
8
8
8
8
16
16
16
0
8
8
8
8
0
0
0
0
0
0
0
8
8
2
44
0
0
8
33
12
4
4
16
2
2
2
8
8
10
10
10
24
24
24
2
2
8
8
8
8
0
0
0
0
0
0
0
0
16
16
8
8
20
20
8
2
2
2
2
2
0
0
0
0
1
1
0
0
8
8
8
8
8
8
0
0
0
16
16
16
16
16
16
16
16
16
16
8
8
0
16
16
16
20
16
2
24
8
0
8
8
8
8
0
1
1
8
0
0
1
16
0
0
16
16
16
8
26
4
0
0
8
8
1
1
1
1
8
8
24
8
0
0
2
2
2
0
0
0
24
24
0
9
0
8
8
0
16
16
16
0
0
8
0
1
8
2
0
0
2
16
16
16
0
0
4
4
0
0
0
0
8
8
8
16
1
1
0
16
4
4
16
8
0
8
8
8
8
8
8
8
4
4
4
8
8
8
0
4
4
8
8
8
1
1
20
16
0
8
8
12
8
2
8
8
2
0
0
0
0
33
24
0
8
0
0
2
2
2
4
0
0
16
16
2
2
2
2
2
8
0
2
2
2
2
0
0
16
16
16
8
8
0
0
8
8
0
0
0
4
4
4
4
4
2
2
2
2
0
24
24
0
61
57
57
57
8
0
4
4
9
0
8
8
8
8
8
8
0
0
16
8
8
2
16
0
0
8
8
8
8
8
8
8
0
8
0
8
8
8
0
0
18
18
18
12
8
8
16
16
2
18
8
8
16
16
16
16
16
16
1
9
1
8
8
0
0
4
8
8
24
1
1
0
0
1
0
0
0
8
8
8
8
16
16
16
4
0
2
2
4
0
16
16
16
16
8
8
16
16
16
0
0
8
8
14
8
8
0
0
8
8
8
0
8
8
8
8
8
8
8
8
8
8
8
8
16
8
8
0
16
20
8
8
8
8
8
0
24
41
41
2
22
4
4
8
8
8
8
8
8
8
8
0
8
16
16
2
2
2
2
0
8
8
8
0
4
16
0
0
2
32
16
16
0
5
0
0
0
32
16
4
16
0
8
0
0
0
0
0
9
8
4
33
1
2
2
4
4
4
16
0
0
8
8
0
0
18
18
8
32
8
16
0
6
6
16
16
0
0
24
8
14
0
0
8
8
8
16
16
0
0
16
16
8
16
22
22
22
22
22
16
0
0
0
0
9
9
9
0
0
8
8
8
4
16
0
8
16
16
16
16
16
0
16
38
0
0
0
0
4
0
16
8
8
8
8
8
8
8
34
16
1
8
0
8
8
8
28
28
8
8
0
0
4
4
4
0
16
16
0
8
8
16
16
16
0
0
0
16
16
2
2
2
2
2
0
4
0
0
16
16
0
8
8
0
8
52
16
16
16
16
16
16
16
0
0
0
0
0
0
0
0
4
17
17
17
0
8
8
24
28
24
8
0
10
27
16
16
4
12
12
8
0
0
4
8
8
8
8
0
8
8
8
4
0
0
0
0
16
16
16
16
16
1
8
28
27
4
24
8
8
0
8
40
40
0
0
4
6
4
8
8
8
8
16
0
0
0
2
0
0
0
24
24
16
16
8
8
8
16
0
16
0
24
16
16
0
0
0
0
1
8
8
16
16
0
19
19
9
9
16
2
2
1
1
0
8
24
8
8
8
0
8
8
16
16
0
0
12
4
1
1
1
0
0
8
1
8
0
8
8
0
0
0
0
8
8
8
8
8
8
8
8
4
0
0
0
8
8
0
0
32
32
8
8
8
8
8
16
22
22
0
1
12
0
0
12
12
12
12
12
0
8
24
0
16
16
1
1
9
9
9
0
0
0
8
8
0
8
2
2
2
2
1
8
8
8
0
16
1
1
16
16
16
8
8
0
16
0
0
0
0
12
4
4
4
0
16
41
8
8
0
0
22
6
6
6
6
0
0
22
18
16
0
8
8
8
0
2
2
30
8
0
8
8
16
0
8
8
8
8
8
16
24
16
16
8
8
16
24
8
1
0
16
8
8
8
8
8
0
4
4
4
4
20
20
9
9
4
4
0
0
0
0
0
32
0
8
8
8
24
0
0
16
33
16
4
0
8
8
0
8
21
16
4
4
8
8
8
8
1
16
16
8
8
0
0
0
8
8
16
0
4
20
0
0
0
8
40
40
2
0
20
4
16
16
16
16
2
8
0
0
0
16
16
8
8
8
8
8
8
16
4
0
1
1
1
8
8
8
16
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
0
0
8
0
0
4
4
2
0
0
0
8
8
4
2
24
24
8
1
1
0
0
0
0
8
0
0
0
1
0
4
4
4
0
4
0
8
0
0
16
16
0
0
0
0
0
8
8
8
16
16
8
8
24
16
0
16
16
16
2
8
16
0
16
24
16
16
8
20
20
20
0
0
8
8
8
8
8
8
8
8
8
8
0
0
26
26
8
8
8
16
16
16
16
16
16
16
8
8
0
12
8
8
8
8
8
8
16
12
8
16
16
0
0
0
0
0
8
0
16
16
16
20
16
16
2
7
1
7
7
7
16
16
16
0
0
0
24
24
0
20
0
0
0
0
8
8
8
8
8
0
6
0
0
0
0
26
0
0
0
8
8
8
0
0
8
8
8
8
48
32
32
0
0
8
8
8
8
8
8
0
16
16
16
16
24
0
0
2
8
16
2
2
16
16
16
2
20
20
8
8
8
8
16
16
16
16
16
8
0
8
0
0
2
6
8
8
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
16
16
0
8
4
16
0
0
0
4
0
17
8
0
4
16
8
8
8
0
0
0
0
0
0
8
8
0
0
24
24
8
0
1
1
16
0
0
0
16
2
18
4
4
4
2
2
2
2
0
0
1
1
6
16
16
0
8
8
20
20
8
8
0
0
0
16
16
16
1
1
8
20
20
0
0
6
8
24
24
8
8
8
8
16
16
1
1
8
2
16
0
0
0
0
16
20
8
8
8
8
0
8
8
8
0
0
0
24
8
8
3
4
4
0
0
0
0
0
8
8
8
8
16
0
8
8
8
0
1
0
0
16
8
8
8
8
8
24
8
8
0
4
4
0
8
4
4
4
4
8
0
8
0
16
0
50
32
32
32
32
16
16
48
48
0
0
0
0
4
49
49
49
8
8
0
0
0
17
0
4
8
8
0
16
16
16
16
16
0
16
16
16
16
32
0
4
4
0
16
16
16
0
0
16
16
16
16
16
8
6
0
8
8
8
16
8
8
16
16
0
8
8
4
4
4
2
2
16
16
16
0
0
0
32
33
32
16
0
8
8
8
8
0
12
16
16
16
0
0
0
0
8
8
0
0
16
8
16
16
4
1
0
4
4
8
0
0
4
4
8
8
13
9
0
0
0
4
1
16
0
8
8
12
12
8
8
8
8
8
8
16
16
0
8
8
8
8
48
8
16
16
16
16
26
1
16
8
0
4
1
9
0
8
8
8
0
16
0
2
8
8
0
8
8
8
0
0
0
0
4
4
8
8
2
2
2
2
2
2
2
16
16
0
0
0
8
4
0
23
23
0
8
0
0
16
16
0
0
16
16
8
8
16
8
8
16
0
8
4
4
4
4
4
0
8
8
16
8
8
0
6
6
6
6
6
6
6
16
2
16
8
24
16
8
8
8
17
8
8
0
16
16
16
16
0
0
8
0
1
1
0
0
1
9
0
10
10
4
4
0
8
5
4
4
4
4
4
16
16
36
4
0
8
16
0
16
0
0
8
3
2
3
16
16
8
8
8
8
8
0
0
17
17
16
16
1
0
4
4
4
4
8
8
0
8
1
8
24
16
16
10
27
27
0
24
16
8
8
8
0
2
2
0
16
0
8
8
8
8
8
2
0
8
8
6
6
0
16
16
16
9
1
8
8
8
6
4
2
8
12
8
0
0
1
1
6
6
6
0
0
0
0
0
2
4
8
4
4
4
8
32
32
4
1
9
8
0
8
8
0
8
16
12
12
8
24
8
57
2
8
2
8
16
0
16
0
0
0
0
0
0
24
0
16
16
8
8
24
0
0
0
4
0
0
0
2
2
8
8
0
32
0
0
0
16
16
0
0
0
0
17
1
16
16
16
0
1
16
16
0
32
0
40
0
0
0
24
24
24
0
8
8
8
26
8
8
8
6
6
2
8
8
27
34
0
8
8
8
16
16
16
5
4
4
32
32
8
0
1
1
1
1
1
1
1
1
0
16
16
8
0
24
24
24
24
0
17
16
16
16
12
16
0
0
17
17
17
17
16
0
8
4
4
4
4
0
16
8
8
8
8
8
8
8
8
8
8
16
16
8
8
8
8
8
8
8
0
9
0
16
0
16
10
0
0
0
2
2
0
0
1
1
4
0
16
4
8
8
0
8
0
0
0
0
0
20
8
1
16
2
2
2
1
1
1
8
2
1
1
1
1
1
1
1
0
0
4
4
0
2
2
2
2
16
2
8
2
8
0
0
0
56
0
8
8
16
16
32
8
0
8
4
8
18
6
6
6
8
0
16
16
16
2
16
8
16
0
0
0
8
0
0
8
8
8
1
0
8
0
1
16
16
0
8
0
8
8
8
0
8
8
8
8
34
32
0
0
0
24
0
8
8
8
8
16
16
16
8
8
8
8
8
16
8
8
8
8
8
16
8
8
2
0
17
1
1
2
14
16
16
0
16
16
16
24
8
0
8
8
8
8
0
9
9
8
8
8
8
8
8
8
8
0
0
8
8
8
8
8
8
10
8
0
16
16
1
1
1
0
25
25
8
8
8
10
26
1
0
16
4
8
8
8
8
0
0
0
0
0
0
0
0
16
16
8
24
0
0
0
16
8
8
0
0
16
16
8
8
8
8
8
8
8
8
8
33
8
4
0
0
16
16
0
4
8
8
8
16
16
16
16
16
8
8
0
0
8
8
8
2
0
0
1
8
4
4
4
4
0
0
24
8
8
8
16
16
0
8
0
16
0
8
8
8
8
8
8
12
8
8
8
6
8
24
24
24
8
8
0
0
24
16
8
32
0
0
0
0
0
0
8
8
0
0
2
2
0
0
2
2
8
8
8
8
8
8
0
21
21
4
0
16
16
8
16
1
0
1
16
16
16
16
24
24
4
4
4
2
2
32
16
0
0
8
8
8
32
17
8
8
24
0
0
0
0
8
8
8
8
16
0
0
4
4
4
4
51
51
51
0
8
48
48
16
32
0
0
20
0
8
8
8
8
4
4
16
8
0
40
2
8
8
8
8
8
2
8
8
8
8
0
0
0
8
8
8
0
0
22
0
0
0
0
0
0
16
12
12
12
0
20
4
4
4
0
0
8
4
24
24
0
8
8
4
4
4
8
8
16
16
24
0
0
8
8
8
8
4
8
8
8
8
0
0
0
0
0
0
8
8
16
16
8
8
8
40
8
2
2
0
8
2
0
16
0
0
8
8
8
8
8
8
8
8
8
8
1
1
4
4
0
0
5
5
21
0
4
4
4
8
32
1
0
1
0
16
16
0
8
8
8
0
0
0
0
0
16
8
8
8
8
8
1
1
0
0
0
0
0
16
0
0
8
16
16
16
8
8
0
16
8
0
0
0
0
8
58
40
9
0
8
8
8
16
0
16
2
2
0
0
2
2
2
8
2
8
32
32
0
0
8
4
0
0
0
0
0
56
4
8
0
8
0
0
8
8
8
8
8
16
8
16
16
16
0
0
0
0
0
1
32
0
0
16
16
8
16
16
16
8
8
8
0
0
0
0
8
8
8
8
16
8
8
16
4
4
16
2
0
8
8
8
0
0
0
1
1
0
0
0
16
0
8
8
0
0
8
8
8
8
24
8
8
16
4
0
0
0
0
0
24
8
8
0
8
8
8
8
0
0
0
0
2
24
16
16
16
8
8
8
0
0
2
1
0
0
8
2
2
2
0
18
18
0
0
24
24
24
24
24
24
24
0
24
16
8
16
16
16
8
8
8
16
16
8
1
1
1
24
30
16
16
16
16
16
16
8
8
8
8
8
8
16
16
0
8
8
8
0
0
0
8
8
8
8
8
8
16
16
17
17
4
8
8
8
0
8
8
0
16
16
4
2
0
8
0
4
4
0
0
8
1
1
8
0
25
25
25
0
16
0
8
8
8
8
0
0
0
16
16
1
0
29
0
8
8
8
8
8
24
8
0
8
8
8
0
1
15
1
8
2
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
8
8
8
4
0
8
16
16
16
16
0
0
0
8
0
8
0
0
0
0
3
0
0
24
2
2
8
0
8
8
0
12
12
1
1
1
16
16
0
0
0
0
20
0
0
16
16
16
8
8
8
8
8
0
12
12
6
6
0
0
0
0
2
2
2
2
2
0
0
16
0
8
8
16
16
16
16
8
8
0
5
4
4
8
8
8
8
4
4
0
16
16
16
16
16
4
4
4
4
8
8
0
0
16
8
0
24
16
12
8
8
8
8
0
0
8
0
0
0
0
0
16
4
2
0
8
8
4
4
0
0
0
0
0
0
0
8
0
16
1
2
2
32
2
0
2
2
16
16
0
16
16
8
8
8
8
8
8
0
0
0
8
8
8
8
8
0
0
8
8
0
4
16
4
4
8
2
8
8
8
8
8
8
8
8
11
11
11
11
8
8
0
0
8
8
0
8
8
0
0
1
17
0
8
0
24
0
8
8
8
8
8
8
8
8
24
16
24
32
16
16
16
0
8
8
8
8
16
0
0
2
2
0
0
8
8
8
8
8
56
8
8
0
8
8
2
0
0
8
8
8
8
16
16
16
16
4
4
0
4
8
8
8
8
8
0
16
1
1
0
16
16
0
0
0
48
48
50
8
8
0
0
0
8
8
17
16
16
0
0
0
0
4
0
8
24
8
0
0
12
4
0
0
8
0
24
24
0
1
1
2
2
0
0
0
0
0
0
2
8
0
4
0
8
24
8
0
0
1
2
8
8
8
8
8
8
0
0
0
0
0
4
8
8
8
8
8
0
42
42
42
16
4
16
0
0
0
0
0
0
0
8
8
0
0
8
8
8
8
8
57
8
8
8
8
8
0
0
4
0
0
3
8
0
8
0
0
0
0
8
0
0
1
1
24
24
4
16
0
12
16
16
0
4
16
8
24
1
0
0
0
0
33
33
0
40
8
16
4
4
4
4
20
0
0
25
8
0
16
0
8
8
4
2
16
0
1
1
2
2
2
0
8
8
8
9
0
2
0
0
1
1
1
1
1
0
1
1
1
8
8
8
8
4
8
22
16
2
16
2
2
8
8
16
0
0
8
6
6
0
0
16
16
8
8
8
8
8
0
4
4
0
8
4
8
8
24
8
8
8
6
8
0
7
0
0
0
0
4
4
1
0
24
24
16
16
16
8
0
0
0
17
17
8
8
0
2
2
4
4
0
0
0
16
16
16
16
16
4
4
4
4
8
8
0
0
32
57
16
16
16
8
8
0
0
0
32
16
16
16
24
8
4
4
12
8
8
16
16
8
4
4
25
25
25
0
16
0
8
8
8
8
8
0
16
16
8
0
8
9
1
59
59
16
16
0
8
8
8
16
16
16
0
0
34
32
0
0
0
20
8
8
8
0
8
0
0
8
0
0
0
8
8
8
33
1
33
1
2
2
0
0
0
8
8
0
0
8
8
8
8
8
42
4
8
8
0
8
8
8
4
0
0
8
8
1
1
1
1
16
16
0
2
2
10
10
10
20
8
1
9
0
0
8
1
0
0
8
0
0
0
2
2
2
2
32
48
48
16
16
16
16
16
16
2
18
2
2
8
8
8
8
8
16
0
0
0
24
24
0
16
16
16
0
0
4
4
0
8
8
8
8
8
0
0
8
0
16
16
16
8
8
0
8
8
8
16
8
8
8
0
0
0
8
16
8
8
8
8
8
16
16
8
4
4
16
0
0
0
4
2
2
2
16
1
1
1
0
0
4
4
4
4
8
4
4
4
28
28
1
8
0
6
22
16
0
1
8
8
8
8
8
8
8
4
4
0
0
16
8
8
0
8
8
8
9
0
14
16
4
0
8
0
16
8
0
24
10
0
8
0
0
0
16
16
16
0
0
8
8
8
8
0
0
0
0
16
8
16
0
0
0
24
8
12
0
0
0
2
2
0
0
0
0
0
8
16
0
28
4
8
0
0
8
4
0
0
0
0
16
16
0
8
8
4
4
8
0
0
0
0
0
8
8
8
0
0
8
1
1
1
4
0
0
1
8
16
12
8
8
16
16
16
8
8
16
5
0
0
0
8
16
16
4
4
0
1
8
8
0
30
30
30
30
0
8
0
0
8
0
8
8
16
16
0
4
4
4
8
8
16
16
0
8
20
8
8
8
8
8
8
8
28
28
16
8
8
8
8
8
0
0
0
0
8
8
8
8
0
8
0
8
8
16
8
1
33
16
16
24
0
1
1
1
16
0
8
8
0
1
1
0
8
1
8
8
0
0
16
10
0
8
8
8
16
6
2
18
16
40
0
16
16
4
4
4
4
4
4
2
2
2
2
1
1
1
1
18
18
8
8
0
0
17
8
8
0
16
16
0
16
0
2
16
8
25
24
0
0
24
0
0
2
2
8
0
8
8
24
16
0
0
8
0
16
16
16
16
0
1
1
0
0
8
16
16
12
32
32
32
17
1
8
8
24
8
0
0
0
20
16
8
8
8
8
18
18
0
8
8
8
8
0
0
0
32
32
8
8
4
0
0
0
0
0
0
16
13
13
0
8
8
8
0
0
4
4
4
0
8
0
0
32
32
0
0
0
8
8
8
4
0
0
0
16
16
8
8
10
10
0
0
8
8
0
0
0
4
2
4
2
0
0
0
0
0
32
4
16
16
16
16
8
0
0
0
16
8
8
9
28
4
8
12
12
8
24
20
20
8
8
8
16
8
8
8
8
0
8
8
0
24
16
8
18
8
1
16
16
8
24
16
8
24
24
24
24
8
8
8
8
8
8
8
16
8
24
24
12
8
25
2
8
8
8
0
0
1
2
2
1
1
1
40
8
8
8
8
24
8
0
28
0
0
8
16
24
0
0
0
8
8
8
8
8
8
8
4
1
16
16
8
0
0
8
8
8
8
0
0
2
2
12
10
2
0
8
16
24
16
16
16
8
8
8
8
8
8
0
56
0
8
32
32
4
16
16
8
0
20
0
16
8
8
2
2
2
2
0
0
4
4
0
16
16
16
0
8
1
1
8
8
8
8
1
1
16
22
22
16
4
4
4
8
8
0
0
16
16
16
0
0
0
16
16
8
8
8
8
0
8
8
8
32
16
8
8
0
0
0
8
0
9
0
0
0
0
0
16
16
16
16
16
8
16
24
24
8
1
0
0
16
16
0
1
1
1
8
8
0
16
16
8
8
8
8
8
0
0
8
8
24
2
16
2
8
8
8
8
0
16
8
0
24
18
8
8
8
16
16
16
1
24
25
25
2
2
2
8
8
8
8
8
8
8
8
3
3
4
4
4
4
4
16
16
24
8
8
8
8
0
0
8
16
8
8
8
0
1
1
1
1
1
0
0
9
9
9
9
1
1
16
24
8
0
8
0
16
16
8
0
0
0
2
2
32
16
16
16
16
24
1
33
8
41
0
6
6
4
8
8
8
4
8
0
8
44
2
0
8
0
17
16
8
16
0
0
4
8
8
48
1
0
0
4
4
4
4
0
0
0
9
8
0
8
8
8
8
8
8
0
0
4
8
8
8
1
1
1
0
0
0
8
8
4
4
4
4
4
4
8
8
8
8
8
4
4
4
4
4
4
4
24
32
32
32
8
4
4
4
0
0
0
16
16
16
12
4
12
0
41
1
2
2
8
8
24
0
16
8
8
8
4
4
4
4
22
8
8
8
16
16
16
16
16
0
0
0
24
8
8
8
0
8
4
1
17
1
1
1
0
0
0
0
0
0
8
8
8
0
32
32
32
32
32
8
32
32
4
4
0
2
4
4
4
4
0
0
4
4
4
4
4
4
4
0
24
24
24
24
17
17
17
19
19
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
8
8
4
4
0
0
4
4
16
16
16
0
1
1
0
0
0
0
0
1
0
1
1
1
9
1
1
1
0
8
8
8
8
12
12
16
2
4
8
8
8
0
4
4
6
4
24
8
16
2
2
0
16
24
16
8
1
8
8
8
16
16
16
8
8
16
8
56
56
8
24
16
0
0
0
0
0
8
16
16
0
8
16
16
16
16
16
0
0
0
8
8
8
8
8
8
16
24
8
0
0
0
0
24
2
0
16
24
8
8
8
16
16
8
8
8
8
0
8
8
8
4
8
8
8
0
0
0
0
16
2
16
1
20
20
0
0
8
8
8
8
8
8
0
0
0
0
1
26
26
26
8
8
16
0
16
0
0
4
4
0
24
0
8
8
8
0
4
4
4
1
1
1
16
16
16
8
8
8
4
1
1
1
0
8
8
8
8
8
8
8
8
16
16
0
0
8
8
8
2
4
4
0
10
35
35
0
12
8
8
0
4
4
0
0
4
4
0
0
1
1
8
8
8
8
0
58
58
16
16
16
16
16
16
8
0
8
8
0
0
0
0
8
2
1
0
0
8
8
8
8
8
8
24
24
0
8
8
8
1
8
0
8
8
9
4
28
4
20
4
4
4
0
32
8
2
16
16
0
4
16
16
8
4
16
0
8
0
8
0
16
2
2
2
2
2
16
16
16
0
16
0
0
0
0
0
0
0
8
8
8
26
0
0
8
8
1
1
8
0
0
2
2
0
16
16
0
8
4
4
4
8
4
20
16
16
8
0
20
16
8
8
8
8
8
8
8
8
8
8
16
16
8
8
2
2
0
0
8
8
8
8
0
0
10
0
0
8
8
8
8
0
0
0
0
0
1
1
1
1
16
0
8
8
8
4
4
8
8
8
8
12
12
8
8
0
0
2
2
2
0
0
0
8
8
0
16
16
0
0
0
16
3
4
4
8
4
16
20
8
8
8
0
8
8
8
8
0
12
8
4
4
8
8
8
8
0
0
8
8
0
0
0
32
32
0
0
0
8
8
0
0
16
8
8
8
8
2
2
0
8
0
0
0
0
0
0
0
0
16
16
16
16
0
0
0
8
8
8
8
1
1
1
1
8
16
0
0
0
18
18
18
0
8
8
8
18
18
6
6
6
4
4
4
0
16
1
0
1
0
24
24
8
0
8
0
0
0
4
4
4
4
48
17
17
17
16
32
32
2
48
48
48
6
0
0
8
8
8
8
16
0
0
16
16
8
8
8
8
8
8
8
8
2
2
0
8
8
16
0
0
0
0
0
16
0
8
0
0
0
1
25
1
1
1
16
8
8
8
8
8
8
16
16
0
0
8
8
8
17
1
1
8
8
2
8
8
8
0
0
0
0
0
16
16
16
16
16
16
16
16
16
0
40
2
8
8
8
0
0
0
0
4
4
0
1
1
0
8
0
16
16
16
16
0
18
18
18
1
8
8
8
8
3
0
0
8
16
16
4
4
4
2
1
8
9
8
9
9
0
0
16
8
0
16
8
8
0
0
8
8
0
8
8
8
16
16
16
8
8
8
8
8
8
8
2
0
4
4
4
0
16
56
8
8
8
0
0
8
8
8
16
18
16
0
8
0
8
8
8
0
18
0
0
0
0
2
2
27
27
0
0
0
0
0
16
0
0
8
8
8
8
8
8
8
8
8
0
0
0
2
10
0
16
16
4
0
16
0
0
0
0
0
8
32
32
32
9
9
32
16
16
4
4
4
4
4
16
16
8
8
16
4
55
16
16
8
8
8
8
8
16
16
0
0
0
32
32
0
0
16
16
16
16
0
4
24
24
24
16
20
20
16
16
27
27
24
24
24
0
8
20
0
16
16
0
57
57
0
16
24
24
0
0
8
16
16
8
0
0
0
16
1
0
16
0
8
0
0
0
0
8
0
0
0
0
41
41
41
41
0
0
0
0
12
8
8
16
16
16
16
8
8
16
16
8
0
0
0
2
10
2
2
16
16
16
16
16
16
16
16
1
1
1
0
0
11
8
24
8
8
16
8
8
8
24
8
24
0
0
2
0
8
8
8
8
8
16
4
16
8
8
16
8
8
16
0
0
0
0
0
5
0
33
4
2
0
0
0
0
8
8
2
24
24
24
16
16
16
16
0
0
0
0
0
0
0
0
0
0
8
8
0
0
8
8
16
16
8
8
0
16
16
16
0
0
0
8
8
0
24
24
24
36
36
0
8
8
0
8
8
9
9
0
32
32
9
8
8
24
1
0
8
8
0
8
8
1
0
8
8
8
2
2
2
1
1
4
4
4
8
8
8
8
8
8
8
0
3
8
8
16
16
16
17
1
8
8
8
8
8
4
1
0
32
0
40
8
8
0
0
0
2
0
8
8
16
16
0
8
8
4
8
8
0
8
8
8
8
8
0
0
8
8
8
0
0
8
8
8
8
8
16
16
16
16
16
0
8
4
4
4
4
2
2
2
4
8
8
8
8
8
16
16
0
6
0
1
24
24
24
0
0
0
8
4
8
8
8
8
8
8
8
8
0
1
8
0
3
1
0
0
40
40
40
40
8
8
8
0
1
17
9
8
5
8
9
0
0
0
4
8
0
4
4
4
4
4
0
0
0
0
4
8
8
8
8
8
0
8
24
8
8
8
2
0
4
4
6
6
1
1
16
0
0
8
0
3
3
8
8
16
16
4
4
8
0
16
0
8
4
4
1
0
8
8
16
16
4
4
4
0
9
0
2
16
0
8
0
8
8
0
16
16
4
8
8
8
7
7
0
0
40
8
0
16
0
4
4
0
8
0
0
0
8
1
0
0
0
8
8
2
8
0
0
0
0
1
16
16
16
16
8
8
2
2
2
2
2
2
2
0
8
8
8
8
0
4
16
0
0
0
0
0
0
32
32
8
18
16
16
16
32
16
8
2
8
8
8
8
8
0
3
0
24
24
24
24
8
1
8
1
8
8
8
1
1
0
0
8
8
8
0
8
4
0
16
4
16
16
9
16
25
16
0
1
4
0
0
0
0
0
0
16
16
0
5
5
16
16
0
8
8
8
8
8
4
0
0
0
0
8
2
2
16
0
4
4
4
4
10
4
4
0
8
8
8
0
0
50
0
8
0
0
0
16
16
16
8
11
11
10
8
8
8
0
8
8
8
8
8
8
28
4
2
32
0
4
4
8
8
8
8
2
8
16
16
24
8
0
4
1
0
0
0
16
4
4
4
40
8
8
8
8
16
16
6
6
6
6
2
2
2
2
2
17
8
8
8
8
8
2
2
2
16
16
0
4
4
4
8
8
24
0
8
24
8
8
0
17
0
8
8
8
8
8
8
8
8
4
17
16
0
0
2
2
2
16
8
8
0
0
0
16
0
0
0
8
16
16
16
0
16
16
8
8
17
16
16
20
8
8
4
8
8
8
8
0
8
0
8
8
8
8
8
8
8
8
0
8
0
0
8
16
0
0
0
0
0
8
8
8
8
8
8
1
0
0
4
4
4
4
4
4
8
8
0
4
0
32
0
0
0
0
0
0
2
4
4
4
8
0
0
0
13
1
1
8
8
8
0
0
0
0
0
0
0
0
4
8
8
8
8
56
0
0
0
0
0
2
2
2
10
20
0
6
0
8
16
16
0
0
8
2
2
2
2
8
8
4
4
4
4
0
0
8
8
32
32
0
2
8
8
16
8
8
0
0
8
8
8
0
40
40
0
24
24
8
0
3
2
2
2
0
8
8
8
8
8
8
8
1
16
16
8
8
8
8
0
1
4
1
0
0
0
0
0
0
0
18
32
0
0
16
16
2
1
1
0
4
4
4
0
0
8
0
0
0
0
0
2
0
16
16
0
0
8
2
0
0
0
16
20
8
8
0
8
8
8
24
4
0
0
0
0
0
24
8
28
28
6
16
0
0
0
1
1
1
8
8
8
8
0
16
21
8
2
2
0
8
8
8
16
16
16
16
0
0
8
8
8
8
0
8
17
4
4
4
8
8
32
0
2
2
12
12
12
8
8
8
8
8
24
24
4
2
8
8
8
8
22
22
8
16
16
16
8
8
24
8
0
0
20
0
0
0
0
0
1
1
9
0
8
8
8
0
32
1
1
4
16
8
0
8
0
0
0
0
0
8
8
8
8
2
2
0
0
0
0
32
16
8
8
8
0
16
16
8
8
8
48
8
8
8
0
8
8
8
8
24
1
16
0
0
9
9
8
0
0
0
8
2
10
0
39
24
8
8
8
8
8
8
8
0
8
8
8
31
31
0
0
0
0
4
4
0
0
20
16
8
8
16
1
4
16
14
14
1
16
10
8
0
0
0
0
0
0
1
8
9
9
4
4
32
32
8
8
1
4
16
8
0
8
8
0
22
2
0
0
0
4
4
4
8
0
16
16
16
16
0
8
8
49
10
8
0
8
0
0
8
8
0
16
8
2
8
24
24
8
8
8
24
0
8
8
8
8
0
0
16
16
16
48
4
4
4
8
4
1
0
0
0
0
0
7
6
0
6
4
16
8
8
0
24
24
4
4
4
0
8
8
8
8
8
6
1
1
0
0
2
0
8
8
8
0
0
8
16
0
24
8
8
24
8
24
24
24
8
8
1
1
9
8
8
8
16
8
24
8
32
32
8
8
16
0
0
0
34
16
16
0
0
28
28
24
24
0
0
2
8
0
0
32
36
4
4
16
0
0
0
8
8
32
16
0
25
25
0
0
17
17
17
17
0
8
8
16
16
16
2
2
2
2
0
8
32
32
32
8
8
8
8
4
4
8
8
8
16
16
0
2
2
16
30
8
17
24
16
16
16
16
16
16
16
0
0
0
16
4
4
16
16
8
16
8
16
2
0
22
0
24
8
8
8
0
0
2
2
2
8
0
0
16
24
8
8
8
8
0
16
16
8
8
8
8
1
1
0
0
4
16
16
16
16
16
16
1
1
1
1
2
2
0
0
0
16
16
4
4
4
24
24
0
8
8
0
16
8
8
0
0
4
8
8
2
1
1
1
25
24
24
8
4
0
0
1
24
24
16
16
8
8
8
8
0
4
4
0
8
8
1
4
4
8
8
36
20
4
3
7
0
8
8
0
0
8
12
8
8
16
8
10
2
10
48
4
0
0
0
32
32
0
4
4
4
4
0
0
17
2
2
0
0
0
4
0
0
16
4
4
4
8
8
24
8
8
4
4
4
1
0
0
25
25
25
0
16
8
1
1
2
2
16
2
16
8
0
0
4
0
0
8
16
0
0
24
16
8
14
8
8
0
0
16
8
8
8
8
8
8
8
8
8
0
0
0
0
24
16
16
4
4
2
16
16
16
2
8
8
4
24
24
4
4
4
16
16
16
4
16
0
8
8
8
1
16
0
16
0
8
8
8
8
8
0
0
10
8
0
8
8
8
0
0
0
0
1
12
12
12
16
1
1
1
8
8
8
4
16
1
1
1
0
0
8
4
4
4
4
16
16
4
4
8
8
8
1
0
16
1
16
16
16
16
16
16
16
4
4
8
4
0
8
0
0
0
12
8
8
8
0
0
0
16
16
17
17
19
19
19
0
0
0
0
1
0
8
16
16
0
0
8
8
8
24
8
8
16
16
4
4
8
8
16
2
2
2
2
4
8
4
0
0
0
0
13
4
0
16
16
16
4
0
16
16
16
8
0
4
0
0
20
20
8
0
12
8
4
8
8
8
4
4
4
16
16
16
16
16
17
8
4
4
0
0
1
1
0
12
8
8
32
32
32
20
0
8
8
8
8
8
8
38
8
8
8
0
8
0
0
0
16
16
2
2
2
8
8
0
17
32
32
32
16
16
8
16
16
16
16
8
8
16
16
4
4
0
12
8
0
1
1
8
8
8
8
16
16
8
8
24
8
0
0
0
0
0
0
16
16
16
8
8
8
8
8
0
0
0
0
8
0
24
2
2
0
0
0
8
8
4
0
21
21
21
8
8
1
16
0
8
8
2
0
8
8
8
0
0
0
1
16
0
0
8
16
16
16
0
16
16
16
4
4
4
4
8
8
8
16
16
16
16
0
0
0
0
16
16
16
8
8
8
8
24
8
0
8
8
0
4
4
8
8
0
0
8
16
26
16
8
8
8
8
8
8
0
0
0
0
24
24
24
28
8
8
8
8
8
8
16
1
1
1
8
0
16
16
24
24
1
1
1
8
8
8
8
8
8
8
8
8
8
1
1
0
2
2
16
0
0
1
4
0
4
24
24
4
8
8
0
8
8
4
16
16
16
2
2
2
16
0
0
0
0
4
4
8
8
8
10
10
8
2
8
8
8
16
0
0
0
4
0
0
8
8
8
8
17
1
1
0
4
4
0
0
0
16
16
8
8
8
8
0
0
8
0
8
8
8
1
16
16
1
1
16
8
8
8
16
16
8
8
0
25
25
8
8
8
16
24
8
8
8
0
0
0
2
2
4
4
8
4
8
8
8
8
16
0
0
9
9
9
9
9
32
0
0
0
0
0
0
0
4
4
8
8
8
24
8
4
4
8
0
16
8
8
8
8
0
0
0
2
4
2
16
0
8
8
8
8
8
0
4
0
0
4
0
0
28
8
8
8
16
16
12
0
0
0
0
0
8
8
8
8
25
8
24
24
16
16
0
0
0
4
0
29
16
0
0
8
8
8
0
0
0
16
16
1
0
0
0
0
0
16
16
8
8
8
8
8
2
2
2
2
4
4
0
8
8
1
1
1
16
8
8
8
8
8
0
0
8
8
0
0
4
4
8
8
0
16
16
8
8
8
8
8
1
1
8
8
8
8
8
8
8
8
16
6
6
0
4
4
8
8
8
0
16
8
8
0
46
32
0
0
8
8
4
4
0
0
18
2
0
8
32
8
8
16
19
8
2
8
8
0
0
3
3
4
4
4
0
0
0
4
4
0
0
0
0
0
0
0
0
0
1
1
1
1
8
16
16
8
8
32
32
0
0
1
1
8
17
16
16
8
24
24
2
2
2
2
8
8
4
4
30
30
8
2
0
8
8
20
20
20
4
16
0
0
0
8
8
8
2
2
2
2
8
8
16
16
0
8
0
0
0
5
5
2
2
2
2
2
0
8
8
8
8
8
8
24
24
1
16
8
8
8
48
0
8
9
0
8
8
8
8
0
1
48
48
16
33
1
1
1
8
8
0
16
4
4
4
0
0
8
0
0
1
1
1
1
8
8
16
16
16
8
4
0
2
2
2
2
2
0
8
8
8
8
16
16
16
8
0
0
7
39
7
7
7
48
0
16
16
16
16
16
0
8
12
8
8
8
2
0
0
2
2
32
0
4
0
8
8
0
0
8
8
32
8
8
16
16
0
0
0
0
16
0
0
8
8
8
8
18
18
18
24
24
24
2
2
26
8
8
8
16
48
16
8
8
8
0
5
5
5
16
16
8
24
1
1
0
0
0
4
8
8
8
8
8
8
8
8
0
0
8
0
0
32
32
0
0
0
8
8
8
0
8
8
0
8
8
8
8
0
32
8
8
0
1
4
4
4
4
4
24
8
16
8
0
1
4
0
0
0
8
8
8
1
9
16
16
0
0
4
4
4
4
4
16
0
16
16
2
1
1
24
8
8
8
8
8
8
8
16
20
16
24
16
0
2
2
2
2
8
8
8
8
8
8
8
8
0
2
3
3
2
0
8
8
8
1
1
1
3
3
1
16
8
8
8
8
48
2
50
8
8
8
8
8
8
8
8
8
8
8
32
2
2
0
2
0
0
8
2
8
16
32
1
8
8
8
8
8
8
8
2
2
2
2
0
8
8
8
6
6
0
0
4
8
8
1
0
0
0
2
8
8
16
8
0
12
4
0
0
16
16
16
2
0
8
8
8
8
0
1
1
16
16
16
4
4
4
0
0
0
24
24
12
4
4
4
20
0
8
8
16
8
4
8
8
8
4
17
1
0
0
0
0
0
16
0
0
0
0
8
8
8
8
8
4
4
4
4
0
0
0
0
2
2
2
2
8
7
7
7
0
8
8
16
0
8
8
8
8
8
8
8
49
49
8
8
8
8
8
8
8
8
0
8
8
16
16
16
16
0
0
2
2
2
2
16
2
2
2
2
0
0
0
0
0
0
0
8
8
8
8
0
0
16
16
16
16
16
8
8
2
2
8
4
4
0
4
8
8
8
18
60
62
8
8
4
4
4
16
16
16
16
16
16
0
0
0
16
16
2
16
16
0
8
8
8
8
8
0
0
8
8
8
8
8
8
8
8
8
8
2
8
6
6
24
8
8
1
0
0
0
0
0
0
0
0
32
24
8
4
0
8
0
0
0
0
0
16
1
16
8
1
1
1
1
1
0
32
8
8
8
8
8
8
0
2
2
16
8
8
32
16
2
8
8
0
0
8
8
8
8
8
8
8
8
8
8
8
16
0
0
0
0
34
0
0
0
52
52
8
8
0
8
8
5
4
5
24
34
2
2
24
16
8
24
0
40
0
0
0
0
4
4
28
1
1
8
8
8
8
8
4
8
0
4
4
24
24
24
24
24
24
24
4
5
5
8
8
8
8
8
8
8
8
8
8
8
8
8
0
17
17
2
0
8
0
4
4
4
0
0
20
0
0
0
0
0
0
1
1
4
8
8
16
16
0
1
4
16
16
16
16
16
0
16
16
28
0
0
0
4
8
8
8
0
8
8
2
24
8
8
0
8
1
16
16
0
24
24
24
16
33
32
32
32
1
1
16
8
0
8
0
0
8
8
40
16
18
8
2
8
8
8
8
8
8
8
8
8
8
8
8
16
0
0
0
4
8
8
0
8
0
8
24
24
0
16
16
16
0
0
0
0
17
17
8
8
0
8
18
2
16
18
16
0
2
2
1
1
16
16
16
32
32
32
0
6
8
8
16
16
8
8
4
4
0
0
8
8
8
8
0
0
0
0
8
0
16
16
16
0
25
25
25
8
16
16
8
8
2
2
2
8
8
0
0
8
8
8
0
0
8
8
8
8
1
16
0
0
8
8
24
24
0
1
16
8
0
0
4
8
12
8
0
0
8
8
8
8
8
63
1
53
33
33
0
0
0
0
8
8
8
6
1
1
1
8
8
8
28
0
0
8
8
8
6
14
16
6
8
0
8
8
8
8
8
8
8
8
8
8
0
0
2
10
2
0
16
0
0
20
0
19
8
8
16
16
16
16
16
16
16
32
17
32
4
0
2
2
0
8
8
8
8
1
1
1
1
8
4
4
9
16
24
16
4
4
4
8
0
0
0
0
0
0
8
8
0
4
4
0
8
0
0
2
2
2
2
4
4
32
0
0
8
8
0
8
2
0
0
8
16
16
0
8
0
0
8
8
8
8
0
2
8
10
4
4
4
16
16
24
24
0
1
1
1
1
1
1
1
1
1
2
16
32
16
1
17
17
17
16
16
8
8
8
24
24
16
16
0
0
0
2
32
32
8
8
8
8
8
16
16
0
0
6
16
6
8
8
8
2
2
2
4
4
8
16
16
16
8
8
0
8
8
8
8
8
0
0
0
0
0
0
8
8
16
0
0
8
1
1
0
8
8
0
8
8
8
8
8
8
8
0
0
0
2
2
2
2
2
2
2
2
2
2
12
12
16
16
16
16
8
8
4
0
8
8
8
8
16
16
16
16
0
8
8
8
8
0
0
8
8
0
16
4
4
8
8
8
16
0
17
4
4
4
16
16
32
32
2
42
1
1
0
4
4
4
8
0
8
8
16
0
0
0
0
0
8
8
8
8
8
8
25
4
4
4
4
4
17
8
8
4
4
43
43
8
8
8
8
0
8
1
0
34
34
34
2
1
0
18
0
0
8
8
8
4
16
16
8
8
12
12
0
0
8
8
8
0
0
0
32
16
16
16
0
0
8
8
8
0
21
21
21
16
24
1
17
1
16
1
1
32
32
0
12
8
0
0
0
8
8
8
8
8
8
24
8
8
8
4
4
4
4
4
4
8
2
2
0
0
0
16
16
8
24
24
8
8
8
1
4
4
4
0
0
8
8
0
16
0
8
16
16
0
8
8
8
0
0
8
8
8
8
10
11
10
0
2
0
0
8
8
8
8
8
0
0
8
8
8
8
32
0
0
16
16
16
16
16
0
1
1
8
1
4
4
2
8
16
4
4
4
16
16
16
16
0
4
4
0
8
8
48
5
5
7
2
16
8
8
8
8
20
16
8
10
17
17
8
8
48
48
0
16
24
16
16
4
4
8
17
2
2
8
8
56
8
8
4
24
0
0
12
12
8
8
8
8
0
18
2
2
0
4
4
4
32
1
1
16
0
0
8
8
8
0
0
16
16
16
16
33
0
0
0
0
4
4
8
8
4
4
6
4
4
20
8
8
0
0
0
4
0
0
2
8
8
6
2
2
2
4
0
0
0
0
8
8
8
12
4
4
48
16
16
16
16
16
16
2
2
0
0
8
0
16
16
1
1
0
0
18
18
18
16
8
24
24
24
0
1
1
1
0
0
0
4
4
0
8
8
16
12
0
0
8
8
8
8
0
0
1
1
0
8
16
0
30
0
4
8
8
8
8
44
0
10
8
8
8
8
8
0
8
0
8
8
16
16
0
8
8
4
4
4
0
16
8
8
8
4
4
4
8
1
48
32
8
32
32
32
16
0
0
8
8
8
8
8
16
8
8
6
6
0
3
3
3
8
8
0
0
0
0
1
17
0
0
8
8
8
8
8
8
8
8
0
8
8
1
1
0
0
40
21
21
6
2
0
0
8
0
16
16
6
6
2
0
8
8
2
0
16
16
8
8
0
4
4
4
0
0
16
16
0
0
8
29
29
8
0
2
2
2
2
2
2
8
8
8
8
8
4
4
4
8
8
20
16
24
8
24
8
8
8
8
16
16
16
16
16
16
16
8
16
25
25
23
23
23
23
0
0
21
4
4
16
16
0
0
0
20
8
8
8
8
16
2
10
10
0
0
0
0
0
2
16
20
8
16
8
24
1
2
8
0
0
0
40
32
2
2
0
24
24
0
8
0
8
16
1
16
1
1
1
1
0
8
8
0
8
8
8
8
8
4
8
1
16
17
16
16
16
8
8
4
1
4
5
5
0
8
16
0
32
8
8
8
16
16
16
16
8
0
0
0
0
8
0
16
0
8
16
16
16
16
10
16
0
0
16
20
8
1
4
20
2
1
1
1
0
8
0
8
8
8
8
8
1
12
12
8
8
8
8
8
8
8
8
16
16
16
16
8
8
0
0
1
16
8
56
8
9
9
16
5
4
0
1
9
8
8
8
8
0
26
26
8
8
16
24
8
0
24
0
0
1
1
2
17
8
8
16
8
8
8
8
8
8
0
8
20
28
0
0
0
0
2
0
16
16
0
0
16
16
0
0
0
1
2
2
0
32
0
0
9
8
8
24
24
24
0
0
8
8
8
8
16
16
16
24
8
0
0
4
28
4
4
4
4
4
16
16
16
2
16
0
0
8
0
0
24
42
8
32
32
32
32
8
8
8
8
1
2
2
2
40
40
8
0
0
0
0
0
16
16
16
0
8
8
8
8
8
8
8
8
24
24
26
0
17
8
18
4
4
34
34
34
0
0
1
8
8
4
0
0
24
8
4
4
0
20
0
8
8
8
8
8
8
0
0
1
0
0
28
0
48
48
8
8
8
8
8
2
8
0
8
8
8
8
1
1
8
8
0
22
8
8
8
0
8
8
0
0
4
4
1
0
0
0
8
8
8
16
0
16
16
0
8
8
16
8
8
8
8
0
0
24
24
24
24
2
2
2
16
3
24
16
0
0
16
8
8
8
8
8
8
24
24
32
32
0
0
0
0
1
1
1
8
8
8
8
8
8
8
8
8
0
2
18
8
8
8
8
8
8
8
8
0
0
4
4
0
0
8
8
8
16
16
0
0
0
8
6
6
8
8
8
8
8
8
8
0
48
8
8
20
0
0
25
16
16
16
8
16
16
16
16
8
24
24
0
0
4
4
0
0
2
2
2
8
8
8
0
8
8
8
8
8
8
0
0
0
0
0
16
0
0
12
8
2
4
8
25
17
0
0
33
0
49
49
49
4
8
8
8
8
8
8
8
8
8
8
8
8
0
1
1
17
0
16
16
8
8
16
16
16
0
8
8
8
32
10
2
2
2
2
8
16
4
24
24
56
56
56
8
0
8
8
8
8
1
0
0
8
8
8
8
8
8
25
0
0
4
16
8
24
16
16
3
3
8
4
0
0
0
0
42
42
16
16
16
8
2
8
1
0
8
12
12
4
16
0
4
4
4
1
17
4
2
22
22
8
8
2
2
1
1
1
4
8
0
0
0
8
1
1
1
16
8
30
1
1
2
8
35
32
32
8
1
0
0
8
16
16
16
8
8
8
8
8
24
8
8
10
20
24
8
18
18
18
10
8
8
8
8
9
1
1
1
8
16
1
8
8
8
0
0
0
40
40
56
40
8
8
16
16
16
8
8
0
0
0
0
0
16
1
4
0
0
0
8
8
8
8
8
8
0
0
0
16
16
12
12
0
9
4
8
12
4
12
1
1
8
12
0
4
4
0
1
1
1
32
8
24
0
0
8
24
26
24
0
8
8
22
22
0
0
0
0
0
20
16
4
4
8
8
8
8
8
8
8
8
1
2
3
8
8
0
8
8
8
6
16
16
1
1
1
1
1
8
0
0
8
8
8
6
2
0
0
4
5
4
8
8
8
8
8
8
16
16
16
8
8
8
0
0
0
16
16
0
0
28
16
16
16
0
0
4
4
16
16
22
16
0
0
0
16
16
16
16
4
8
2
2
2
2
0
5
0
0
8
8
2
0
8
8
8
16
4
4
16
16
0
8
8
16
0
8
0
0
8
8
8
8
0
10
10
8
8
8
1
3
1
8
12
8
4
4
16
16
16
16
0
0
16
8
8
32
6
8
0
0
16
16
0
4
8
8
16
1
16
16
0
1
8
8
8
0
16
8
16
8
0
0
18
18
0
8
8
1
1
1
8
8
8
8
0
0
0
16
16
16
16
0
0
0
8
8
8
8
8
8
8
18
8
8
12
0
0
16
16
16
0
0
8
8
8
8
20
1
1
1
1
1
8
8
8
8
8
8
8
16
24
2
2
8
0
0
4
4
11
1
8
8
4
0
0
8
8
1
1
1
1
32
32
32
16
8
8
8
8
40
28
8
8
24
16
43
43
4
8
8
8
8
8
1
1
16
16
3
3
3
3
3
0
0
18
2
8
0
2
2
2
2
22
24
24
16
16
0
16
16
16
8
8
0
8
4
8
8
8
4
0
16
16
16
16
16
16
1
1
16
0
8
8
8
8
4
8
8
8
0
0
0
0
8
16
16
16
24
16
0
0
0
0
0
8
2
16
16
8
8
8
8
8
8
8
8
24
0
0
0
0
4
16
28
12
2
2
8
8
8
8
0
16
28
28
8
32
16
48
0
0
8
0
0
0
0
0
32
8
8
8
8
8
8
1
1
0
0
0
0
16
16
4
4
8
8
8
8
8
8
0
17
17
8
8
8
8
8
8
8
8
56
0
0
8
1
0
8
8
24
8
0
8
1
1
8
35
0
0
0
8
8
8
16
16
20
16
32
32
0
0
2
6
0
0
0
16
16
1
8
8
8
40
32
32
0
16
16
8
8
8
0
16
16
28
28
28
28
4
16
24
16
16
16
0
10
2
8
8
40
40
1
1
1
50
0
0
0
16
33
16
0
0
0
8
1
1
6
6
1
2
10
2
2
8
0
8
8
8
16
16
0
0
0
16
2
2
2
0
0
1
8
24
0
4
4
20
2
0
16
1
16
16
24
1
8
8
8
8
8
0
0
8
8
8
16
0
4
0
0
0
16
0
0
0
0
0
0
16
16
16
8
8
2
2
2
0
0
16
0
16
20
0
0
0
16
16
0
16
16
18
0
0
0
8
8
16
16
2
16
16
8
8
8
0
0
0
0
0
0
1
0
0
0
16
4
0
0
9
8
1
0
8
0
0
32
32
0
0
16
24
0
8
8
16
16
0
16
8
16
16
16
16
8
8
8
8
8
0
0
0
8
8
0
32
4
0
0
0
0
0
24
0
0
0
16
0
0
4
8
12
12
12
16
0
0
0
0
0
2
0
8
24
16
0
16
16
17
2
0
0
4
0
16
16
4
4
2
2
2
8
8
0
0
8
2
0
4
17
17
17
4
0
0
0
0
0
16
16
16
0
32
32
0
0
0
0
16
16
0
0
16
16
4
4
0
0
0
0
0
0
0
0
0
0
0
2
2
0
0
16
0
0
0
1
1
1
1
16
0
0
0
0
0
16
16
16
0
0
0
0
0
0
0
0
8
8
8
1
16
16
16
16
0
16
0
0
0
0
0
0
32
0
0
0
0
0
0
4
4
0
0
0
0
0
0
0
0
0
0
52
16
16
0
2
18
0
5
5
0
0
0
0
4
8
16
16
16
16
4
4
25
25
25
0
0
0
16
0
0
8
0
8
16
0
0
0
2
2
0
8
0
9
9
9
0
0
4
0
0
0
4
0
0
0
0
0
0
0
0
52
0
0
1
8
16
8
8
8
8
1
24
0
20
20
8
8
8
8
0
0
0
8
0
0
0
8
0
0
2
0
0
8
8
0
0
0
0
8
0
0
0
0
8
0
0
0
1
8
8
16
0
0
0
8
8
8
0
4
1
1
0
16
0
0
0
0
4
4
0
0
1
1
1
8
16
16
16
0
0
2
2
4
0
0
8
0
0
0
8
0
0
0
0
0
3
15
3
0
0
12
12
12
16
16
16
0
0
0
0
0
17
32
32
16
0
0
0
0
0
0
1
4
18
0
0
8
0
2
16
16
0
2
16
16
0
8
8
0
0
24
24
24
24
24
32
32
16
16
0
18
18
18
0
0
0
0
0
0
0
18
0
0
0
0
0
0
0
1
1
1
16
0
33
0
0
0
16
16
50
16
8
8
8
8
0
0
0
0
0
0
0
0
16
16
0
0
0
16
18
18
8
0
8
0
0
0
0
0
8
8
8
0
0
16
9
16
8
41
16
12
0
0
0
0
0
0
0
0
0
32
32
8
8
0
0
0
1
1
0
12
0
0
8
8
0
0
0
8
0
0
0
26
0
0
0
0
0
0
0
0
4
4
16
16
0
0
0
0
0
16
6
4
4
0
0
0
0
0
0
16
0
0
0
0
0
0
6
0
0
0
0
8
0
0
16
0
0
0
0
0
0
24
0
0
0
0
8
0
0
16
16
0
0
8
8
8
8
8
0
4
0
0
0
0
20
20
4
0
0
0
0
8
16
16
0
0
0
22
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
4
4
0
0
0
8
8
4
4
0
0
8
8
8
0
0
0
0
0
1
16
0
0
0
0
0
0
8
8
8
8
8
8
2
0
0
0
0
0
0
1
0
0
8
16
0
0
8
16
16
0
0
0
0
0
4
0
0
0
8
32
0
0
0
0
16
16
0
1
1
4
0
0
1
4
4
40
40
0
0
8
0
4
4
4
4
4
4
4
0
0
0
0
8
2
0
0
16
16
2
2
0
0
0
0
0
0
16
0
6
0
0
8
0
0
0
0
0
20
20
6
16
19
3
8
8
8
8
4
8
8
24
18
16
16
16
16
0
0
16
4
4
0
8
0
0
16
16
0
8
24
24
24
2
2
2
0
0
0
0
0
0
24
8
0
1
18
18
8
0
4
4
4
0
0
2
2
2
24
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
4
0
8
0
0
0
1
1
0
0
8
2
2
8
0
32
0
0
16
16
16
0
8
8
2
1
8
8
0
16
16
0
16
0
2
8
8
16
16
4
0
0
8
0
0
8
2
8
8
8
0
4
4
4
16
0
0
1
0
0
0
0
0
8
8
40
2
0
0
8
0
0
0
0
0
16
0
4
0
0
0
8
16
0
1
1
0
0
0
0
0
0
8
8
8
8
8
8
0
0
0
0
0
0
0
0
20
16
0
16
16
17
0
0
8
0
8
0
0
0
6
6
6
0
0
0
40
2
0
4
0
1
16
17
0
0
0
0
8
8
8
0
0
2
8
0
0
0
0
0
16
24
8
16
0
0
16
0
0
0
24
0
8
0
0
0
1
1
0
0
24
0
0
0
8
8
16
24
16
0
0
0
0
0
8
16
18
16
4
0
2
2
0
8
8
8
8
0
0
16
1
4
50
8
8
8
0
0
2
2
2
8
8
0
0
8
8
8
0
0
25
4
12
4
0
0
26
26
0
8
0
0
2
0
0
0
0
0
19
0
0
0
0
0
0
16
3
3
3
0
0
4
1
0
0
2
2
2
2
2
0
0
0
0
8
8
8
8
8
32
32
32
0
0
0
2
16
0
0
0
0
10
0
0
16
16
0
8
0
0
16
0
0
0
0
0
8
0
0
0
4
4
4
0
0
0
0
0
0
0
0
0
9
9
9
0
0
4
4
0
24
4
4
0
0
0
0
37
37
8
4
2
9
0
0
8
8
8
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
10
10
10
18
0
0
0
4
4
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
12
12
0
0
16
16
1
8
8
0
20
0
0
10
8
0
0
0
16
1
1
16
0
0
0
8
8
8
8
8
8
0
0
9
8
8
8
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
1
0
8
8
16
8
0
16
16
4
4
4
0
0
8
0
0
16
16
1
1
0
24
12
0
1
9
0
0
0
0
16
0
16
16
16
16
24
24
24
24
0
8
0
0
8
12
25
25
16
16
16
16
0
0
0
0
0
2
2
0
0
0
0
0
16
8
8
0
6
0
48
48
0
0
0
0
16
0
16
16
16
16
0
0
0
0
0
0
0
16
16
8
8
8
0
0
0
0
0
0
0
8
8
8
8
8
24
24
24
0
0
0
0
0
8
0
0
0
16
16
5
4
0
0
4
4
4
0
4
16
16
16
8
0
8
8
0
0
8
8
0
0
0
10
8
8
8
8
0
0
0
0
0
0
0
4
4
16
16
5
0
0
17
59
0
0
0
0
0
0
0
16
16
16
16
16
0
0
0
0
2
2
0
0
0
0
0
0
0
0
0
8
8
2
0
0
16
0
0
8
8
8
8
4
4
4
0
4
4
0
8
8
8
16
16
0
0
0
16
4
16
16
16
8
0
0
0
0
0
8
0
0
0
0
8
0
8
8
16
8
0
0
2
2
4
1
1
0
0
0
0
16
16
16
4
8
8
0
52
48
8
8
8
0
8
2
8
32
32
0
0
0
0
16
0
0
0
0
0
8
8
8
8
8
0
0
0
8
16
16
16
16
16
16
1
12
0
0
0
0
0
8
0
0
14
2
0
0
1
1
0
0
0
2
2
2
2
2
8
8
8
8
0
16
16
16
0
4
0
0
8
8
0
0
8
4
0
0
8
8
8
8
0
0
0
0
0
7
7
8
8
0
0
24
0
0
0
0
16
0
8
8
8
0
24
24
0
0
4
16
16
8
4
4
2
24
4
0
0
0
0
0
2
2
2
16
24
8
16
0
36
0
8
0
8
8
0
0
0
0
0
3
3
0
16
16
0
17
0
0
0
0
0
0
0
20
20
8
8
8
8
4
4
0
16
16
16
0
0
16
16
0
0
20
0
16
0
16
0
0
0
1
1
1
1
0
0
0
0
16
16
1
1
8
0
0
42
0
0
0
0
16
8
8
0
0
0
1
1
1
0
4
4
0
0
0
0
0
8
0
0
0
0
8
16
16
16
20
20
20
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
16
0
0
0
6
6
2
8
24
56
24
8
16
16
0
9
9
0
8
32
0
0
0
0
24
16
0
0
0
20
20
20
0
0
0
0
0
0
0
0
0
25
25
0
8
16
8
8
0
0
1
13
12
0
1
1
16
16
16
4
4
4
4
0
0
0
8
0
0
0
0
0
0
0
0
0
16
8
16
0
4
0
0
0
0
8
1
0
8
0
0
1
0
0
0
0
0
0
24
8
16
16
2
16
16
18
2
2
2
2
4
16
24
24
0
8
0
0
0
0
0
0
0
2
4
4
4
0
0
0
4
8
0
0
8
8
0
0
0
0
0
0
0
8
10
8
1
0
0
1
8
12
0
0
4
4
0
2
0
16
16
0
0
0
2
0
5
17
2
2
2
0
0
0
3
0
0
11
0
40
40
0
0
1
1
0
0
8
8
0
8
0
0
0
4
0
8
8
8
0
16
8
6
6
6
8
8
4
0
0
0
0
0
8
0
0
2
0
0
8
0
0
0
0
0
25
25
2
2
0
0
0
18
18
16
24
1
0
8
8
33
8
8
0
24
16
34
4
0
0
0
0
0
16
16
0
0
8
0
8
12
8
0
0
4
0
0
0
0
0
0
8
8
8
0
16
16
16
0
0
0
1
3
0
8
8
8
8
8
8
8
8
8
4
18
0
4
0
0
2
0
0
0
0
0
0
0
0
0
8
8
0
4
8
16
16
41
41
41
41
16
25
25
6
6
14
0
0
0
0
4
2
0
0
16
8
8
8
8
8
0
17
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
4
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
17
17
0
0
0
0
0
0
0
16
16
2
2
16
16
4
4
0
0
0
8
0
0
0
0
8
8
0
0
0
4
16
0
0
0
0
0
0
0
0
16
16
1
1
1
1
4
4
3
4
0
4
32
32
16
0
0
0
0
0
36
36
0
0
0
0
0
0
0
0
0
0
24
0
4
8
0
0
0
8
0
0
0
0
0
0
0
0
1
0
0
0
0
16
0
0
8
8
0
2
8
8
8
16
0
0
0
0
0
1
0
0
0
8
8
14
14
16
16
16
16
8
32
32
32
32
32
5
0
0
0
16
24
24
24
8
0
8
1
0
0
0
4
4
16
16
28
28
3
12
12
4
16
17
0
0
8
0
8
8
8
0
16
0
16
16
17
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
1
1
4
4
0
0
16
16
0
0
0
8
8
8
0
0
24
0
8
16
0
0
0
0
0
0
0
0
0
16
8
8
0
16
16
16
16
16
0
8
0
4
8
8
16
24
16
16
0
0
8
8
0
0
2
2
0
8
1
0
16
0
0
4
4
4
4
0
0
0
16
16
0
2
2
2
18
18
4
4
4
4
0
0
0
0
2
0
0
8
0
16
16
16
24
16
16
32
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
4
4
32
2
0
8
16
8
4
4
0
8
8
8
8
0
0
1
1
0
0
0
0
0
0
0
0
24
16
0
0
0
8
0
4
0
0
0
2
2
2
2
8
8
6
0
0
0
0
0
0
0
0
0
0
8
0
0
0
8
0
16
0
0
0
0
0
0
0
0
0
0
22
0
20
20
16
16
16
0
4
0
8
0
32
32
0
0
0
4
0
0
0
8
0
0
0
0
24
8
1
0
8
8
2
2
2
8
8
0
0
0
0
0
0
0
0
0
0
0
0
8
0
8
8
8
8
7
7
7
7
0
8
0
0
0
8
8
8
0
8
8
8
8
0
5
0
8
8
8
8
0
0
0
0
0
0
16
0
0
0
0
0
16
16
0
32
0
16
8
8
8
8
0
0
0
0
8
2
1
1
32
0
0
24
0
0
4
0
0
0
0
0
0
16
1
1
1
0
8
0
0
0
1
8
0
0
1
0
0
0
0
0
2
0
0
0
4
4
4
0
9
1
8
8
8
0
0
0
8
8
0
0
8
0
0
0
0
0
0
1
18
0
0
0
0
16
0
1
1
4
4
0
0
1
1
0
0
24
56
0
0
0
0
8
8
5
5
16
16
0
0
16
16
0
0
0
0
0
0
0
42
2
0
0
26
26
8
8
8
0
16
16
8
32
32
8
8
8
4
2
16
0
17
17
17
0
0
0
1
8
8
8
0
0
1
16
0
0
2
0
2
0
0
4
4
4
4
4
0
4
50
50
4
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
8
4
4
4
4
0
0
0
0
0
16
0
0
0
16
16
16
8
2
0
0
0
0
1
0
2
0
0
16
16
0
4
4
2
2
0
0
2
0
0
12
8
8
16
0
8
8
8
0
0
8
0
0
0
0
0
8
0
0
8
8
8
0
8
8
8
8
8
8
32
32
0
24
0
0
24
16
0
1
1
0
1
4
6
0
0
0
0
16
0
0
0
16
4
2
0
0
4
0
0
0
0
16
16
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
2
4
8
0
18
8
13
0
0
0
0
0
8
8
8
8
0
0
4
4
0
0
0
10
2
8
8
0
0
2
8
24
0
0
0
20
20
0
0
0
0
0
16
0
0
0
0
0
0
0
0
1
8
0
0
0
0
0
0
0
0
0
16
33
8
0
7
0
16
0
8
0
16
0
8
0
0
4
4
0
0
0
0
0
0
0
0
24
24
8
8
8
16
0
0
1
1
0
16
16
16
0
0
8
2
4
4
4
18
18
16
0
0
24
24
0
0
0
0
0
0
8
0
8
8
0
0
0
0
0
0
0
0
8
2
0
8
8
33
33
0
16
0
0
0
0
0
0
0
0
0
16
0
8
4
0
0
0
0
0
0
0
0
0
0
0
21
0
0
0
16
1
0
0
0
1
20
20
16
16
32
0
0
16
16
0
8
8
8
0
0
4
4
8
8
0
16
0
0
0
0
16
16
0
0
0
0
2
16
0
0
0
0
16
7
7
7
0
17
0
0
0
0
0
5
5
1
1
0
4
4
4
0
0
0
16
0
0
8
0
0
1
8
0
0
0
0
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
1
1
8
8
4
0
0
0
0
0
8
8
0
0
0
8
0
0
0
0
9
16
16
16
0
0
0
0
16
0
8
8
8
24
0
16
8
8
8
8
8
8
0
0
8
8
8
0
16
32
32
0
0
0
0
0
16
0
0
2
0
8
32
32
0
0
0
0
0
0
0
0
1
1
5
16
8
45
0
9
4
0
0
8
16
1
0
4
24
21
21
16
16
16
16
0
0
0
0
16
16
8
0
10
0
0
2
0
8
8
0
8
8
8
4
4
4
2
2
2
0
12
0
0
0
0
0
0
0
12
0
0
0
0
0
8
8
0
0
0
0
6
0
0
0
0
0
4
4
8
8
8
8
8
0
0
0
0
0
0
0
0
0
8
0
0
4
4
4
32
32
24
24
0
0
0
0
0
0
0
8
8
8
8
8
8
16
16
16
16
16
16
4
4
0
1
1
1
8
10
8
8
8
8
0
0
8
8
8
8
8
0
16
8
8
8
8
8
8
8
8
8
8
8
8
16
8
0
0
0
0
0
0
0
0
0
4
4
0
16
16
16
0
20
20
20
0
0
1
1
0
1
1
0
20
2
2
25
25
0
0
0
0
0
8
0
8
0
0
0
0
2
2
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
1
0
0
0
0
0
8
0
0
0
0
0
0
24
0
0
8
32
0
0
8
8
8
24
8
8
0
0
0
8
8
8
16
0
0
16
8
8
0
0
16
16
0
0
0
8
0
8
8
6
0
16
16
16
0
0
0
0
0
0
0
0
20
20
20
16
16
16
0
0
8
1
1
10
10
10
2
0
0
16
0
0
0
0
8
8
8
8
24
0
0
0
0
0
0
0
0
4
0
0
0
8
8
8
2
4
0
16
8
32
0
16
16
16
2
8
8
25
25
0
0
0
0
0
0
0
0
0
0
0
0
24
8
8
4
1
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
24
0
0
0
24
16
16
2
2
8
8
8
4
4
1
1
0
0
8
8
8
0
0
8
16
16
0
0
0
0
0
0
0
0
6
6
0
0
16
0
0
2
16
0
1
8
8
0
0
0
0
0
0
0
4
4
4
4
0
0
8
0
0
0
1
0
0
4
0
0
0
0
0
0
20
1
2
0
8
1
16
0
0
4
0
0
0
0
0
20
32
0
0
0
0
0
0
0
16
16
0
16
16
16
32
48
17
17
2
0
0
16
16
16
2
0
4
4
0
0
16
16
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
16
33
0
32
56
24
24
24
24
24
24
0
4
4
0
0
0
0
0
0
8
0
16
0
0
16
20
16
0
0
8
8
8
54
16
0
0
0
0
0
0
2
2
2
0
4
0
0
0
0
0
2
2
8
0
0
0
0
0
0
0
0
0
0
2
16
8
8
0
0
0
0
0
0
0
4
0
16
16
2
0
0
2
0
0
0
0
0
0
0
16
16
0
0
1
1
16
16
16
0
0
0
10
8
0
16
16
24
16
0
0
0
0
0
0
0
0
8
8
8
24
24
0
0
0
4
8
8
8
8
8
0
0
8
8
8
0
9
9
0
0
0
0
0
40
4
4
4
0
16
8
8
8
8
8
3
3
12
0
0
8
0
0
0
0
2
2
2
2
16
16
9
8
8
4
16
16
0
0
8
4
4
4
0
0
0
0
0
16
8
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
8
0
16
0
24
0
0
0
16
8
16
0
0
2
2
2
16
0
0
0
0
4
4
32
32
0
0
0
0
2
18
24
8
0
0
0
0
0
0
16
16
0
0
0
2
2
2
2
8
8
4
8
8
8
8
8
0
8
8
0
9
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
8
0
0
0
0
0
1
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
8
0
0
0
20
20
0
0
16
16
0
0
0
0
1
16
16
24
8
8
2
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
8
0
0
4
1
0
0
16
16
0
16
8
4
4
33
33
0
0
0
0
0
0
16
16
16
16
16
16
16
0
0
0
0
0
0
0
0
0
0
8
8
24
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
16
16
0
0
4
24
0
0
8
4
0
0
0
0
12
12
5
1
1
16
16
17
0
8
8
8
4
2
2
8
8
8
0
8
0
0
0
0
8
8
8
8
8
8
8
0
0
8
8
0
32
32
32
0
0
16
0
0
0
0
0
0
8
0
0
8
4
0
0
0
8
8
8
0
4
5
0
8
0
0
0
0
0
16
16
0
0
20
4
4
56
0
0
0
0
16
0
16
48
16
32
2
2
0
20
16
0
8
8
0
0
8
16
2
2
0
8
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
16
8
8
0
0
0
0
0
0
28
0
18
16
0
0
0
0
0
0
0
8
0
8
8
16
0
8
24
24
8
0
20
20
20
20
0
4
4
4
4
4
8
8
8
4
0
0
0
9
16
0
8
8
0
2
2
2
0
0
0
0
1
1
8
8
8
8
32
32
32
8
8
8
4
16
0
2
48
20
1
1
8
8
0
8
8
4
4
4
4
4
0
0
0
8
16
0
0
0
0
0
16
16
0
0
5
5
5
16
16
0
0
8
8
0
0
16
0
0
0
0
18
18
2
0
0
0
0
8
16
0
16
0
0
0
0
18
0
0
0
0
0
0
0
1
16
4
24
18
0
0
8
8
0
0
0
1
0
0
1
2
18
0
0
0
0
1
1
1
0
0
0
0
8
8
0
2
2
8
0
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
24
8
0
0
0
16
16
0
4
8
8
8
16
4
4
1
0
16
0
0
0
0
0
20
0
0
0
0
0
0
0
6
0
0
0
16
0
0
0
0
0
0
16
16
16
16
0
20
0
0
0
0
4
4
6
0
2
2
8
24
3
19
22
22
0
0
8
0
16
16
0
8
8
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
16
16
0
0
33
33
8
8
8
0
0
16
0
0
0
0
0
0
0
0
0
8
16
16
16
24
24
8
0
0
8
8
0
8
0
0
0
0
8
8
2
8
8
0
0
0
2
2
2
0
0
8
8
8
0
2
2
0
2
0
2
2
4
4
4
2
0
0
0
0
0
0
0
0
0
0
0
12
4
8
0
16
0
0
0
5
5
0
0
0
0
0
0
0
0
0
0
0
0
4
4
16
0
12
0
8
2
2
0
18
18
16
16
0
0
16
16
1
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
1
8
8
4
4
4
4
4
0
0
8
8
4
0
8
8
0
0
0
2
2
0
8
8
8
0
0
0
4
16
16
17
17
0
0
0
0
0
8
8
4
4
4
0
0
0
2
25
29
25
8
8
8
0
0
8
32
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
16
16
16
16
0
16
16
16
32
0
0
0
0
0
16
0
0
3
8
16
32
0
16
16
0
0
8
0
0
0
0
0
0
0
0
46
0
0
0
8
0
0
0
1
16
16
0
0
0
0
8
8
0
16
16
16
8
4
2
1
1
8
8
8
8
3
0
0
0
0
0
8
8
0
0
8
8
0
0
0
8
0
0
0
0
0
20
4
0
0
0
8
8
8
16
16
24
8
0
0
0
0
0
0
0
0
0
0
0
0
16
16
8
0
4
4
4
2
2
0
16
16
0
0
0
2
8
8
8
8
6
8
8
8
8
0
0
16
16
0
8
0
16
0
0
0
27
27
16
16
16
32
2
0
0
0
16
0
8
8
0
0
8
4
24
16
16
16
16
16
16
0
0
0
0
0
0
0
0
0
32
32
32
32
16
16
16
16
0
0
0
16
8
8
0
0
8
16
16
16
16
16
16
16
16
16
16
16
0
0
0
1
0
8
8
8
8
0
0
16
0
0
0
0
0
2
2
2
4
0
16
16
16
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
16
16
16
16
16
0
0
0
0
0
8
16
16
0
0
0
8
16
16
11
0
8
8
8
0
2
0
16
16
12
4
8
0
0
4
4
0
4
4
4
4
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
24
24
0
0
0
4
2
2
18
0
0
16
0
0
8
8
0
0
0
8
0
0
0
16
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
4
20
0
0
0
0
16
0
12
17
0
44
32
36
32
0
0
0
8
8
0
0
8
0
16
8
8
8
0
0
0
0
0
0
0
0
0
0
0
4
4
2
2
16
2
2
2
8
9
1
0
0
0
8
0
1
8
8
0
0
0
0
8
8
8
8
0
0
0
0
1
0
2
10
0
16
16
16
16
16
0
4
0
4
4
4
4
56
0
0
0
8
16
16
16
0
0
0
0
0
0
16
0
16
17
0
0
0
0
8
0
0
0
5
0
0
16
16
16
0
0
0
0
0
0
0
0
0
0
0
1
20
0
0
0
0
0
0
4
4
9
8
8
0
0
0
16
0
0
0
0
0
0
0
4
16
16
2
2
48
48
22
18
0
0
2
2
8
8
8
0
0
40
8
0
0
2
2
2
0
0
16
16
0
0
0
0
0
0
0
1
1
1
4
0
0
0
18
18
0
0
0
0
0
1
1
1
1
0
0
8
8
8
0
0
16
8
8
8
8
8
0
12
8
12
12
8
24
24
2
4
0
0
16
16
0
0
0
0
16
0
0
2
6
0
8
8
0
0
10
8
8
8
8
16
0
16
7
0
0
20
0
2
2
2
0
0
8
8
8
8
8
8
8
8
0
0
0
0
0
0
57
57
0
0
0
8
12
8
8
4
20
20
0
28
32
32
8
8
8
4
4
0
0
2
0
8
0
0
16
16
0
0
0
8
0
8
24
8
8
0
17
0
10
0
0
4
4
4
0
0
0
0
0
0
0
0
4
32
0
0
0
0
16
16
0
0
0
0
0
0
16
16
16
16
20
20
8
0
0
0
0
6
0
0
0
0
8
8
0
0
8
0
0
0
0
0
2
0
32
32
0
0
0
24
24
24
24
4
4
4
16
0
0
0
0
0
0
0
0
0
0
16
16
16
16
16
0
0
0
0
8
8
0
0
0
0
8
8
8
8
8
8
8
8
16
16
16
0
2
0
0
0
1
0
0
0
0
0
0
4
4
0
0
4
4
0
0
16
16
16
16
16
2
0
0
0
0
0
0
1
1
4
1
1
0
0
4
24
24
0
0
0
8
8
8
0
8
8
8
0
0
16
0
0
0
8
0
0
0
17
17
14
14
0
0
0
0
0
0
24
4
0
9
0
8
1
0
0
0
0
0
0
0
0
0
0
0
8
8
0
4
9
8
8
24
8
0
8
1
1
16
1
1
1
1
4
0
0
0
0
0
4
0
16
16
0
9
0
4
0
8
8
0
0
0
0
0
4
4
4
0
16
16
1
0
4
8
8
8
2
0
0
8
8
8
8
16
16
16
0
4
18
18
8
8
8
8
16
2
2
2
40
40
40
8
8
8
8
8
8
0
4
4
0
0
0
2
2
2
0
1
8
8
8
8
16
0
1
0
0
0
1
8
8
2
0
0
0
32
6
6
2
4
12
4
0
8
8
8
2
1
2
8
0
8
16
16
16
16
0
0
0
0
0
0
16
0
0
0
0
8
8
0
0
2
8
0
2
2
0
16
16
16
1
9
0
0
0
0
16
4
4
0
16
0
5
0
16
0
0
4
0
0
0
56
4
0
8
8
0
0
16
16
0
0
0
0
0
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
12
8
8
0
0
0
0
0
0
0
0
0
16
16
16
24
8
8
8
0
0
2
2
0
0
4
4
0
8
0
0
16
16
0
8
8
0
0
0
0
8
13
13
20
0
0
8
8
8
8
1
0
8
0
16
16
16
4
16
16
0
2
5
16
16
8
24
0
0
8
0
0
16
12
4
0
4
8
0
16
16
16
2
2
2
0
0
0
0
0
16
16
8
1
16
16
0
0
0
16
16
16
8
16
16
16
0
24
8
0
8
0
0
0
16
2
18
2
2
8
8
8
8
0
8
8
0
0
0
8
8
8
4
4
0
3
35
3
1
0
0
8
1
8
8
0
4
16
16
16
16
0
0
0
0
8
0
0
0
0
0
0
0
0
0
2
16
0
0
0
1
16
16
0
8
8
2
0
0
0
2
0
0
8
0
1
8
16
16
16
0
0
32
32
16
16
16
16
8
8
8
8
8
0
2
2
0
1
1
1
0
0
0
0
0
0
8
0
32
32
8
0
8
0
1
1
18
16
24
0
0
8
0
8
24
24
8
8
0
8
0
0
0
17
17
8
8
8
4
0
16
16
4
8
8
0
0
4
0
0
0
0
0
0
0
8
1
0
24
24
0
0
0
8
8
0
8
0
20
24
0
0
0
4
0
0
9
0
0
0
16
16
1
1
1
1
1
18
0
0
0
0
4
3
1
1
1
0
8
8
8
0
0
0
25
0
8
8
0
24
16
1
1
1
1
1
1
0
0
0
0
0
0
8
8
8
8
14
14
14
4
8
8
8
8
0
1
1
1
4
0
0
2
0
16
16
16
0
8
8
0
0
0
0
0
0
8
16
0
0
8
8
8
8
8
8
10
2
1
1
16
8
8
0
8
0
2
0
0
0
0
0
8
4
0
0
0
0
0
0
0
0
0
24
24
1
0
8
8
8
8
8
16
6
6
0
0
8
8
16
16
16
16
16
8
8
24
8
0
0
8
4
0
8
8
0
1
0
4
0
8
16
16
16
16
16
8
0
0
33
0
0
0
4
1
1
0
16
16
0
2
2
16
0
16
16
1
0
20
20
17
2
2
0
0
16
8
8
24
24
0
0
8
16
0
0
4
0
0
0
0
0
16
16
16
0
32
0
0
16
16
0
16
16
0
8
8
8
32
0
16
0
0
45
45
18
2
2
2
2
1
1
1
10
10
8
8
8
0
1
2
2
16
0
0
8
0
0
0
8
0
0
0
8
8
8
8
8
0
8
24
24
24
8
0
0
0
0
4
4
4
12
0
0
16
0
4
4
7
0
40
0
8
8
24
0
8
0
8
8
8
8
0
0
0
0
0
0
16
0
0
0
8
0
8
8
8
8
8
0
24
24
0
0
20
20
0
1
1
1
0
0
0
1
1
0
0
4
4
16
16
0
4
16
16
8
8
8
8
8
8
8
0
8
8
16
0
0
2
2
8
8
16
0
0
0
16
16
20
48
32
0
0
8
8
8
1
0
0
16
16
16
16
16
16
0
16
0
1
4
8
8
0
0
0
26
0
0
8
4
0
0
0
0
0
0
0
22
0
0
2
0
0
0
0
0
4
1
0
0
0
0
8
24
16
2
2
2
0
1
1
0
0
0
0
16
16
24
0
8
0
1
8
0
0
0
0
0
0
0
16
8
56
0
0
1
16
16
16
16
0
8
8
0
33
33
24
24
0
0
0
0
8
8
0
8
8
0
0
0
0
0
16
16
16
0
16
2
1
1
0
8
8
8
8
20
16
16
16
16
2
1
1
8
8
8
8
4
0
8
8
4
8
8
0
16
0
8
0
32
8
8
0
0
0
8
8
8
8
0
0
4
4
0
0
8
8
0
0
2
0
0
0
2
2
4
0
0
0
8
8
0
0
0
24
24
0
0
0
1
1
0
0
8
0
8
0
0
0
8
16
16
16
0
0
0
8
8
8
4
4
16
16
16
0
0
16
0
0
8
16
0
40
40
16
8
0
1
0
0
0
0
8
0
16
0
0
0
0
0
16
16
0
24
24
2
2
0
8
8
0
0
16
3
3
3
16
1
0
0
0
0
0
0
0
8
0
0
0
0
36
16
45
8
8
8
28
16
0
8
8
0
0
0
4
4
4
2
2
2
2
1
16
48
48
16
16
8
0
0
0
0
0
8
0
8
0
48
8
8
8
0
0
0
8
17
24
0
24
1
19
16
8
8
8
0
0
1
16
16
4
4
0
2
16
16
16
16
16
0
0
0
8
0
0
0
8
0
0
0
0
16
0
0
0
48
48
8
0
0
16
16
0
16
4
4
4
4
16
0
0
40
40
2
8
8
0
0
0
0
2
8
8
8
8
0
0
0
0
8
8
32
0
8
8
8
0
16
16
0
0
8
8
16
8
8
0
16
0
0
4
16
16
16
9
1
8
8
8
8
8
8
8
8
32
0
16
16
16
16
8
0
0
40
0
24
0
12
12
8
8
1
1
0
0
0
0
4
20
20
0
1
16
16
16
16
0
0
8
8
0
16
8
8
0
0
1
0
0
8
8
8
16
16
4
8
8
0
0
0
6
4
0
0
0
2
8
8
24
4
0
4
17
17
33
0
10
16
12
0
0
0
8
8
24
24
0
0
16
16
0
0
1
1
0
2
0
4
4
8
0
24
2
0
8
18
24
0
16
16
4
4
16
16
2
24
24
8
0
24
0
0
4
24
24
9
4
8
1
4
4
4
4
4
4
5
0
40
40
8
16
16
0
32
1
8
8
8
4
4
4
8
8
8
8
8
0
0
32
0
8
8
24
8
8
8
8
8
8
0
0
0
0
8
9
9
9
9
8
8
8
8
8
0
0
0
8
8
8
8
8
8
8
16
16
16
0
1
1
16
8
8
8
16
0
18
18
8
8
0
0
8
0
16
16
16
0
16
16
16
16
16
8
4
4
4
0
8
8
0
0
0
0
0
4
4
0
0
8
16
8
8
8
8
8
8
8
0
0
0
0
0
8
8
0
0
0
16
1
1
0
0
20
16
4
2
2
0
16
16
8
8
0
8
8
8
8
8
0
16
16
0
4
4
14
8
0
0
0
0
2
9
1
8
16
24
16
4
4
1
1
1
1
8
8
0
0
0
8
0
0
12
0
16
8
2
0
0
6
0
0
16
16
8
8
8
8
28
28
16
16
0
8
8
0
16
16
20
20
3
16
16
16
16
16
6
6
4
16
16
16
16
0
0
0
0
0
8
0
16
16
8
8
24
24
24
0
8
8
8
0
8
8
8
16
26
26
26
26
0
0
0
0
0
0
0
0
2
4
0
0
0
0
0
0
0
1
1
16
24
24
24
8
8
8
0
16
16
0
0
0
3
0
0
0
0
2
4
4
4
5
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
24
8
0
16
16
16
0
0
2
2
2
0
0
16
8
8
8
8
8
8
0
0
3
16
16
16
16
0
32
32
32
2
2
4
4
4
1
0
8
32
0
0
0
2
0
0
19
20
20
4
4
17
8
16
0
16
16
16
16
0
0
4
1
16
4
4
4
0
16
24
24
0
0
0
0
0
8
8
8
8
0
0
0
0
1
10
0
0
0
8
8
8
16
8
50
50
2
8
17
8
0
0
2
2
8
0
0
10
0
8
8
8
0
8
8
4
4
0
2
0
0
8
1
0
0
3
16
16
0
0
4
0
0
0
0
8
0
8
0
8
8
8
0
0
1
24
24
2
0
8
18
8
8
0
8
0
0
16
20
0
8
8
0
4
48
2
2
0
0
8
17
0
0
0
0
0
16
1
16
16
16
16
16
16
8
8
0
0
0
0
16
0
18
2
8
8
26
30
0
0
0
8
8
8
8
8
1
0
16
0
2
0
0
8
34
34
2
16
0
0
16
16
1
0
16
8
0
0
0
0
1
0
32
32
0
0
0
8
8
0
0
20
0
0
8
1
1
1
1
0
0
4
8
14
0
1
8
0
0
0
0
0
52
52
0
0
0
0
4
4
16
16
0
24
8
8
8
0
1
1
1
8
8
4
4
21
0
0
8
8
0
0
0
8
0
0
0
0
1
1
0
2
35
35
16
8
16
0
0
0
22
1
16
0
16
16
16
16
16
16
16
16
16
16
0
0
0
8
8
8
0
16
2
2
0
16
16
16
2
2
16
16
1
2
16
16
4
0
0
0
40
8
0
8
4
16
2
2
4
16
9
0
4
4
8
8
10
0
0
8
0
0
0
0
9
9
1
0
0
0
8
8
8
8
8
0
8
8
8
8
8
8
8
0
0
20
20
16
0
0
0
0
0
0
8
8
0
24
8
8
6
0
0
0
8
8
16
16
0
16
0
0
0
0
0
16
16
16
8
0
0
4
0
8
16
0
2
1
0
0
0
16
8
16
16
8
33
32
18
0
0
6
0
0
0
24
8
8
16
17
0
0
0
8
8
0
24
16
4
4
0
0
7
7
0
1
0
0
0
0
8
8
16
0
16
8
0
0
1
16
8
8
8
0
0
0
0
4
16
0
8
16
1
0
24
0
4
6
0
0
0
2
2
0
0
0
0
0
16
16
16
16
16
16
16
16
0
0
4
4
0
0
16
16
16
4
4
4
4
0
0
0
0
0
0
0
8
2
2
0
8
0
0
0
0
0
16
2
0
0
16
16
16
16
16
16
16
16
0
8
8
8
8
8
0
0
0
0
8
24
0
8
3
8
2
16
0
22
22
24
24
0
0
0
8
8
0
0
0
0
0
0
4
4
8
8
8
8
0
0
8
0
0
0
0
0
0
0
16
1
0
0
4
6
6
0
0
0
0
20
20
16
8
8
16
16
16
16
0
8
8
8
8
8
0
2
2
2
0
0
16
16
36
36
16
8
8
8
8
0
0
16
16
24
4
4
18
24
24
4
4
0
0
16
16
16
16
0
17
0
0
8
0
0
0
8
16
0
8
0
0
0
16
16
16
20
16
0
2
8
8
4
4
4
0
0
24
20
4
0
8
0
24
0
0
0
4
4
4
4
4
4
8
8
8
8
0
32
40
32
32
14
2
0
0
0
0
4
8
16
16
0
16
16
0
0
0
12
8
8
22
22
8
8
8
0
0
0
1
16
16
0
0
0
16
12
22
22
1
1
0
16
16
16
0
0
0
0
0
0
4
0
8
8
8
0
32
32
4
8
16
8
16
16
8
8
8
8
0
4
8
0
0
24
24
16
16
4
8
8
8
0
8
16
8
0
0
1
1
0
16
0
0
16
16
0
4
0
4
3
8
8
4
8
16
16
16
8
8
0
0
0
1
1
0
16
0
0
8
8
8
0
8
0
2
16
0
8
8
8
8
8
8
0
0
8
8
8
40
18
18
4
4
8
8
8
2
2
1
1
0
0
4
4
0
0
0
6
6
4
16
8
8
0
0
0
0
8
8
8
8
8
8
8
8
8
8
0
0
32
0
0
16
0
0
0
0
0
0
0
0
0
16
16
16
26
0
0
0
0
0
0
0
8
8
8
8
0
0
0
0
8
8
24
24
0
0
16
8
16
16
0
0
0
0
0
10
10
0
0
0
0
16
16
16
0
0
0
0
8
8
8
16
12
0
8
8
8
8
4
2
40
32
0
2
2
0
0
0
0
3
3
4
4
5
5
1
0
0
0
0
0
4
8
4
27
27
27
8
32
0
8
0
0
4
22
4
4
0
0
0
0
1
1
1
16
16
0
0
0
0
16
16
8
8
0
0
0
0
0
2
2
4
4
8
8
0
8
8
8
4
8
4
16
16
0
8
8
8
16
16
0
0
0
1
25
8
1
16
16
8
8
8
0
0
16
0
0
0
0
1
1
0
0
0
16
16
0
0
8
8
24
24
32
17
17
4
0
0
0
0
8
8
8
8
8
0
0
8
0
0
8
8
0
8
2
2
2
1
0
8
0
0
0
4
8
0
8
0
0
0
0
4
0
1
0
0
8
8
0
8
8
8
8
0
0
2
2
2
1
1
0
1
1
0
0
0
16
8
16
16
16
4
4
0
0
0
8
8
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
8
8
8
8
32
0
0
0
0
16
16
16
16
16
16
8
0
0
0
0
16
16
0
8
8
8
8
0
0
4
4
10
1
5
5
0
0
0
4
4
2
0
0
0
0
0
4
4
0
0
9
8
0
0
0
0
0
0
0
0
0
0
0
0
0
16
2
0
16
0
8
8
8
8
8
8
8
0
0
0
0
24
8
8
8
1
1
8
0
0
10
20
20
0
0
0
0
0
16
1
1
1
1
1
1
1
18
18
1
1
1
1
1
1
0
17
17
16
0
0
0
0
4
4
0
0
8
8
8
8
0
16
16
16
32
16
8
0
2
2
4
4
4
0
3
3
3
3
3
8
0
8
8
0
8
8
8
0
16
20
1
22
22
0
8
8
16
8
29
29
12
12
0
8
8
8
8
8
8
8
0
0
0
12
12
16
16
16
0
2
0
0
0
0
0
16
0
0
6
8
48
28
28
4
0
8
8
0
0
10
10
10
0
25
16
8
8
32
9
8
25
20
4
16
0
0
16
16
4
0
0
8
8
2
2
2
0
12
0
0
16
4
0
0
24
24
24
24
8
8
1
1
0
18
0
8
2
16
8
0
28
2
2
0
16
0
8
8
0
0
4
2
0
0
0
0
16
62
62
0
8
8
35
16
16
16
16
16
8
4
2
14
4
8
9
2
16
32
0
33
1
0
0
0
0
8
0
0
0
0
0
0
16
16
8
8
8
16
0
32
32
8
8
4
4
4
0
0
0
0
16
16
16
25
25
25
0
0
0
0
8
8
8
4
8
8
16
16
16
16
4
4
16
16
8
32
32
8
8
0
16
0
0
16
16
16
16
14
0
0
0
8
8
0
0
0
16
16
16
0
0
0
16
16
16
8
8
0
16
0
4
4
4
0
0
16
8
8
8
8
0
0
16
16
1
16
1
1
1
8
8
0
0
8
16
16
4
16
0
16
16
0
0
4
0
0
0
16
16
16
16
4
1
16
8
0
0
16
0
10
11
5
5
5
4
4
0
16
16
5
0
23
0
0
8
8
8
8
8
0
4
3
4
0
0
16
16
0
8
16
8
12
0
8
8
0
8
8
8
0
8
8
8
0
0
0
8
8
4
4
16
16
1
1
0
1
0
0
0
0
0
32
16
4
8
8
8
8
0
16
1
0
0
0
0
0
0
0
0
0
0
2
0
0
16
0
16
16
8
16
0
0
0
16
16
0
0
0
0
22
22
22
0
8
8
8
8
8
4
4
4
0
8
8
8
0
8
0
8
9
9
9
9
9
9
24
16
16
16
16
0
0
8
0
0
8
8
8
2
2
4
16
16
4
4
10
3
1
0
0
4
1
16
16
16
0
0
0
0
0
0
0
0
2
8
0
0
8
0
8
5
5
16
16
16
0
0
0
8
4
4
16
16
0
3
0
2
0
16
8
5
0
8
8
16
16
16
16
16
0
0
0
8
8
16
18
18
0
0
1
4
4
16
8
8
0
24
24
24
24
16
16
8
8
8
4
0
4
4
0
0
0
0
0
0
0
0
8
8
8
8
8
2
0
12
0
0
0
0
0
8
0
0
18
16
4
4
0
0
0
8
8
8
0
0
0
0
1
1
1
1
2
2
8
8
8
8
16
16
8
8
8
0
0
0
16
16
16
0
4
4
4
4
24
24
0
0
0
16
8
8
0
0
0
16
4
4
4
4
0
8
8
0
0
0
0
0
0
0
16
0
0
0
0
8
8
0
0
0
20
0
0
4
5
4
16
16
0
2
0
0
4
0
0
8
8
0
2
8
8
8
8
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
16
8
8
8
0
1
0
0
4
4
8
0
16
16
0
8
8
8
0
4
8
8
0
2
2
8
8
0
0
0
0
0
0
0
0
0
0
0
0
20
1
8
0
4
0
8
8
8
8
8
8
8
5
5
0
0
0
0
16
8
0
35
35
20
0
0
0
26
16
8
0
57
57
57
17
16
0
24
2
20
0
0
0
0
8
0
8
0
4
16
16
16
0
0
8
0
0
24
16
0
0
0
20
8
8
10
0
8
0
8
8
8
8
0
0
0
0
8
16
1
1
0
8
0
0
0
0
0
8
0
8
36
0
0
4
0
0
0
0
0
0
0
0
48
32
8
8
26
16
16
4
2
16
20
20
8
0
8
8
0
0
0
6
28
0
0
0
0
0
0
1
0
0
52
52
0
0
0
0
0
1
0
0
8
8
8
0
8
8
8
0
0
1
0
8
8
8
0
16
16
0
8
0
16
16
16
35
35
0
8
8
8
8
0
8
0
0
4
4
4
8
16
16
16
32
32
8
8
4
8
8
8
8
8
0
0
0
0
0
8
8
8
8
24
4
4
4
0
16
0
0
0
8
0
24
48
48
0
0
16
16
16
16
8
0
8
4
0
0
0
2
0
0
0
1
0
0
4
0
0
2
2
2
0
0
0
16
1
1
0
0
24
0
2
0
0
0
2
4
4
1
0
0
0
8
0
0
16
1
0
0
0
16
16
0
0
0
0
4
40
40
8
8
0
0
0
0
0
0
16
8
8
8
8
50
18
1
0
8
8
4
4
4
20
1
28
16
16
0
0
6
0
0
0
0
0
0
2
20
16
1
4
8
8
0
4
4
4
0
1
1
1
0
2
0
16
1
1
16
16
6
6
18
8
0
0
8
8
0
0
8
8
16
20
20
4
1
1
0
0
0
0
16
16
0
16
4
4
8
16
0
16
0
0
8
0
1
0
8
12
8
8
0
0
0
0
0
0
0
4
8
8
8
32
32
8
2
8
0
0
8
0
0
16
0
0
4
0
0
0
2
16
16
16
8
0
0
0
0
0
0
0
24
16
20
16
0
0
0
24
0
0
0
16
16
0
0
16
32
32
16
36
0
8
16
16
4
4
10
2
0
8
0
0
0
0
8
8
8
8
0
0
0
0
4
16
16
0
16
16
16
16
16
16
0
0
1
8
16
12
8
5
0
0
0
0
1
0
2
16
16
16
16
0
52
0
4
4
4
1
0
0
16
1
1
8
16
16
0
0
0
8
8
8
2
16
16
1
0
4
4
4
0
8
0
0
12
4
4
4
4
0
0
16
16
16
8
16
16
16
16
0
0
0
2
0
16
0
0
0
0
0
0
0
0
0
0
8
10
10
6
6
2
4
0
8
8
0
32
6
6
16
0
0
0
0
8
8
16
16
0
24
0
0
0
0
8
26
1
1
1
2
0
2
0
16
28
16
0
4
8
8
0
16
8
16
16
16
16
0
0
16
0
4
0
0
0
16
0
0
33
0
0
16
0
0
0
0
0
0
0
0
0
34
1
16
0
8
8
0
0
16
0
0
0
0
8
0
8
8
8
0
0
0
0
16
16
16
16
16
0
0
0
8
0
0
8
8
4
0
0
0
0
0
0
16
16
0
0
0
4
8
8
0
56
0
0
16
16
8
8
8
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
16
6
0
0
8
11
8
0
0
16
0
24
24
0
0
0
8
7
8
0
0
0
0
8
0
0
0
4
4
16
0
0
4
4
0
0
8
0
0
0
0
0
0
0
0
0
16
0
0
8
8
2
2
8
8
2
28
16
0
24
1
4
4
8
0
0
8
8
8
0
2
24
24
24
0
0
0
16
8
8
8
8
8
8
0
4
8
8
0
16
8
8
8
0
0
16
8
8
8
0
16
0
8
12
8
8
56
48
8
0
8
8
0
4
0
0
0
16
16
16
16
8
16
16
16
0
0
0
0
16
16
16
16
8
8
20
20
20
0
0
0
16
16
1
24
8
40
0
0
8
8
0
0
0
8
0
0
0
24
0
4
0
0
0
8
0
8
8
8
8
8
0
0
0
8
8
8
8
8
35
0
8
8
16
0
16
16
2
2
4
8
1
8
8
16
16
0
24
8
8
0
9
1
24
24
32
32
32
0
24
16
8
1
3
0
2
0
4
4
4
0
16
16
0
0
16
2
8
0
8
8
0
0
0
8
0
0
0
16
0
0
8
8
12
0
0
0
0
0
0
0
1
1
4
0
16
3
19
8
8
0
0
1
0
0
17
0
0
24
16
16
20
8
16
16
0
16
8
0
0
0
0
0
8
8
0
0
16
14
14
4
16
8
8
8
8
0
8
8
0
0
8
8
24
8
0
8
8
0
8
8
4
8
0
24
24
24
24
24
24
24
24
8
8
0
0
8
0
0
8
8
0
0
0
8
8
1
0
0
0
0
8
8
8
24
24
0
0
0
4
8
8
8
20
20
0
0
40
40
0
0
0
0
0
0
0
0
0
1
1
0
0
4
4
0
8
0
0
0
0
0
8
0
0
0
0
2
0
8
16
20
20
16
4
2
2
8
8
16
16
8
0
8
8
0
0
0
4
1
0
16
16
16
8
8
8
8
8
8
0
8
0
0
2
8
8
0
8
8
24
16
16
16
24
0
0
8
32
32
32
0
8
8
16
2
2
0
0
16
32
32
0
0
16
16
0
0
24
24
24
24
24
24
8
9
0
0
8
32
0
24
16
24
24
25
8
0
4
0
8
8
18
18
0
0
25
26
16
16
0
0
4
4
16
1
0
0
1
0
0
0
4
4
8
8
0
0
57
57
32
16
16
16
0
0
8
6
5
5
0
0
0
0
0
0
0
0
8
16
16
16
0
1
1
14
0
0
0
0
16
27
10
10
16
0
4
4
16
8
0
0
0
4
4
0
0
8
2
2
2
2
16
0
0
8
0
16
16
0
0
9
1
0
0
0
16
8
0
16
8
0
0
16
16
0
0
0
0
0
0
0
0
16
16
4
4
4
4
8
8
8
8
0
0
16
16
16
16
0
0
0
0
0
8
16
0
24
8
0
1
0
0
18
18
18
0
8
8
0
0
0
0
0
0
0
0
0
0
8
8
8
0
2
2
0
0
0
1
0
8
8
8
16
0
4
6
8
8
8
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
16
16
0
16
8
4
4
0
21
2
10
0
8
8
0
8
8
1
0
0
0
0
0
8
8
0
0
8
8
8
20
8
16
26
18
18
18
0
0
0
0
0
24
24
24
24
24
8
8
0
0
10
8
4
0
0
0
2
3
3
0
0
8
0
8
8
0
0
40
8
8
0
4
16
16
20
8
2
16
0
0
0
0
0
0
8
0
8
0
16
24
16
16
16
0
4
16
8
0
0
8
0
0
0
2
0
0
0
0
0
0
8
8
8
0
2
4
4
0
5
1
8
8
0
0
16
16
4
0
8
8
0
0
8
8
8
57
57
57
0
8
0
0
0
0
24
1
1
1
8
8
12
2
2
16
0
2
13
8
8
0
24
8
16
16
18
4
4
8
2
2
2
0
16
16
16
0
2
0
1
0
1
1
0
0
16
16
0
16
1
17
4
4
0
0
8
8
0
0
0
8
1
8
8
0
8
8
8
0
34
0
0
4
4
4
4
4
4
1
0
0
0
0
16
20
20
4
0
0
0
56
48
0
16
16
0
8
56
21
0
0
0
0
0
8
8
8
8
8
8
8
16
4
4
4
4
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
0
0
0
16
16
16
16
8
8
0
0
0
0
0
4
4
24
24
24
4
0
0
8
8
1
0
0
0
4
0
0
8
8
8
2
4
4
4
4
4
4
16
16
8
0
0
0
0
8
4
0
0
0
0
0
0
4
8
8
8
0
0
9
8
4
0
0
4
0
2
16
16
16
16
17
17
16
41
41
32
0
4
16
16
0
1
0
0
0
0
8
0
8
0
8
0
16
16
0
4
4
4
4
4
32
32
0
0
0
0
0
0
0
16
2
2
16
16
0
0
0
0
0
1
0
0
1
16
16
16
0
0
0
0
0
24
24
24
24
16
16
8
8
0
0
0
0
8
16
16
16
16
0
0
0
0
0
1
1
4
8
8
8
8
8
8
8
8
8
8
8
0
4
8
8
8
8
8
0
0
0
53
4
4
0
8
0
1
8
8
4
4
4
16
0
0
0
0
0
1
1
8
8
8
8
16
16
16
0
16
16
1
0
0
2
8
8
24
8
16
16
16
16
16
8
12
8
16
8
0
24
32
32
8
8
8
2
18
0
8
4
4
0
12
12
16
0
28
0
0
0
16
16
16
8
8
29
1
8
9
9
7
0
0
12
4
4
4
16
16
0
4
4
36
4
18
0
0
0
0
0
2
2
16
2
2
2
16
16
16
0
0
8
8
8
16
0
0
0
0
0
0
0
0
16
8
8
0
0
0
16
16
48
16
16
16
32
16
16
0
0
8
16
4
0
8
0
8
1
1
1
1
0
8
0
10
9
9
0
0
0
0
0
12
12
12
12
8
8
8
16
1
1
33
33
8
2
1
16
16
16
16
24
0
16
18
16
24
17
17
0
6
8
12
12
16
8
8
8
8
0
0
0
0
16
16
0
0
0
0
16
9
8
8
8
4
8
4
0
16
0
0
0
0
0
20
8
8
17
17
0
1
1
1
8
8
8
0
8
8
24
8
0
0
16
0
0
0
10
0
8
8
0
8
4
4
0
5
4
4
4
16
16
0
0
1
9
16
16
0
0
8
8
8
0
8
8
0
4
8
8
8
24
24
24
8
0
16
16
0
4
16
16
0
8
24
8
8
8
24
24
1
1
1
8
0
0
4
0
8
8
16
16
0
2
0
32
17
0
8
8
8
8
0
0
0
8
16
8
8
0
0
0
1
1
8
16
4
4
0
8
8
8
0
8
8
8
8
8
0
0
8
1
8
8
2
2
0
2
2
2
20
20
8
8
8
8
8
8
8
8
8
24
4
8
8
8
0
0
0
0
0
0
4
4
0
0
0
0
0
0
16
1
1
1
8
8
16
16
0
0
0
0
16
24
24
8
8
8
8
8
8
8
8
8
0
0
16
10
8
4
16
16
24
8
12
8
16
0
0
0
4
4
8
8
16
0
0
0
0
1
6
16
40
16
16
0
0
0
0
8
8
6
24
40
0
18
16
16
0
8
8
8
8
8
8
8
0
0
8
0
8
8
8
0
24
1
16
0
16
16
0
0
8
8
0
1
1
18
18
24
24
2
2
16
16
16
8
8
0
0
8
0
4
5
0
0
0
8
8
8
0
48
0
16
16
16
16
16
16
0
8
0
16
16
16
16
16
8
8
8
8
13
16
0
0
0
0
0
2
8
4
8
12
0
0
18
18
18
16
8
8
16
35
4
4
4
4
4
0
0
8
8
0
0
20
4
4
8
16
16
2
0
8
8
8
8
18
16
2
2
0
32
0
4
4
0
8
8
8
0
8
4
4
8
16
8
16
24
0
24
24
4
8
8
4
12
0
8
8
8
8
8
8
8
16
8
8
8
8
8
0
8
24
24
0
0
32
0
16
16
28
0
1
20
4
8
8
18
2
0
8
24
24
0
8
16
16
26
2
8
0
0
0
0
8
8
8
8
0
0
8
8
8
8
8
8
4
8
0
0
4
16
8
4
0
0
3
8
4
0
0
0
4
0
4
1
4
8
0
1
0
0
16
16
0
0
2
8
8
8
8
8
8
8
8
0
0
8
8
0
16
8
0
0
0
0
0
0
8
0
0
1
1
1
1
2
32
0
1
2
1
3
1
1
0
0
0
16
16
16
8
16
8
0
16
4
20
20
20
4
4
1
1
1
1
0
0
30
8
8
4
4
8
0
0
0
0
20
8
16
0
30
30
30
30
0
8
2
8
16
2
40
8
2
1
24
24
0
0
1
0
0
0
0
8
8
0
0
0
0
8
0
11
16
20
0
0
0
0
0
0
16
16
0
0
0
8
8
8
8
8
8
8
8
8
8
4
4
4
24
0
16
16
16
16
8
4
13
0
16
16
8
0
2
18
8
8
2
2
8
4
0
0
0
0
0
0
8
8
8
12
0
16
0
0
16
16
16
0
12
24
8
0
0
0
16
4
4
4
6
2
16
16
16
4
6
6
24
17
16
16
1
0
0
8
8
0
4
0
0
16
8
16
8
16
52
52
16
16
24
0
8
8
8
16
4
8
8
8
8
16
8
8
4
4
2
8
12
10
40
40
0
0
2
1
0
8
0
8
8
8
1
1
8
8
8
0
0
1
1
1
0
16
32
1
1
1
0
0
0
32
40
40
8
32
8
8
8
8
3
16
4
0
8
9
1
8
8
8
8
8
16
8
8
8
0
8
8
8
8
0
0
0
16
17
16
0
16
25
0
8
24
24
4
8
2
0
0
2
16
16
0
4
16
0
0
16
16
16
0
0
16
16
4
41
8
16
8
32
1
1
8
8
8
0
0
32
4
12
8
8
0
0
0
8
8
0
28
20
0
1
1
0
0
58
40
16
16
16
16
16
0
4
4
0
0
0
16
0
8
8
0
0
0
32
8
40
0
5
16
8
8
0
0
16
8
8
8
0
0
0
1
16
16
16
0
0
0
8
8
16
16
16
8
8
8
0
8
0
0
1
4
14
8
8
0
0
0
0
8
8
8
4
4
4
0
0
0
8
4
4
4
8
8
0
0
0
0
4
4
4
4
1
0
0
0
24
8
4
0
16
0
0
16
0
16
16
8
8
59
0
0
0
24
0
12
8
0
8
8
8
8
0
1
4
4
0
0
0
0
0
0
0
0
16
16
16
16
16
16
16
0
0
0
0
0
0
9
15
0
0
24
0
0
8
8
8
0
0
0
0
0
0
1
28
16
24
1
1
8
8
0
8
0
22
16
16
8
0
0
0
0
0
0
1
0
16
0
16
16
0
8
8
0
8
8
8
8
8
8
8
8
8
8
4
0
24
24
24
0
0
0
32
0
0
0
0
0
0
16
16
0
8
16
4
2
2
2
8
0
0
0
16
16
16
16
16
8
8
0
16
8
8
0
3
3
0
8
8
4
0
2
2
10
2
16
0
16
16
18
18
18
2
8
8
8
8
0
0
0
0
16
16
16
0
0
4
8
8
1
4
4
4
4
0
0
16
16
16
16
3
0
0
8
28
0
0
16
16
16
0
8
8
8
2
0
0
8
2
2
2
2
2
2
0
8
8
8
8
24
0
20
24
24
0
0
8
0
0
1
1
8
0
0
0
0
10
0
16
16
16
16
16
16
16
16
16
0
1
1
1
8
0
8
8
16
16
1
16
1
1
17
0
0
1
1
0
0
0
0
0
8
16
16
16
16
0
0
3
23
16
16
16
20
20
8
8
16
6
6
6
8
8
24
0
0
0
0
0
0
0
0
4
4
8
1
1
1
2
2
0
0
0
0
0
0
0
0
24
8
8
8
0
8
0
0
24
0
8
2
8
16
16
8
0
8
8
8
8
8
8
8
0
0
0
8
0
0
8
0
8
0
0
0
0
0
0
0
0
0
0
0
16
16
32
24
56
8
24
16
16
0
0
14
14
0
0
24
16
8
16
16
1
16
8
8
0
0
3
3
3
4
3
2
2
2
2
2
8
8
24
4
0
0
8
8
8
8
0
8
8
8
8
0
0
12
8
8
1
1
0
0
0
1
2
2
2
16
0
0
0
36
8
0
0
8
8
26
8
8
0
0
0
0
0
0
0
0
0
16
16
1
16
10
10
8
38
0
0
0
8
8
0
16
16
0
0
7
1
1
0
8
8
24
16
0
0
0
12
12
16
8
4
0
0
0
32
40
0
6
8
8
8
0
0
1
1
0
24
24
25
8
0
0
0
0
8
8
8
0
0
0
0
0
0
0
4
0
0
0
0
16
16
16
16
16
16
2
8
8
20
0
1
8
0
8
16
1
1
16
0
8
1
8
8
0
8
8
5
4
8
16
16
16
20
16
16
20
8
0
0
0
8
8
8
8
8
8
1
16
0
4
4
4
1
1
8
8
4
9
8
0
8
8
0
0
0
0
8
8
8
8
12
8
0
0
0
0
16
20
8
16
0
0
0
2
1
1
1
57
57
57
0
0
0
8
8
8
0
8
16
2
16
12
12
4
4
4
8
8
8
2
2
16
0
8
1
4
4
12
12
12
0
0
0
16
16
22
16
16
16
16
16
16
16
16
16
8
12
12
4
4
8
8
16
16
8
8
8
16
0
0
8
0
4
8
8
8
16
1
8
8
16
4
0
0
20
0
0
0
8
0
0
18
0
24
1
2
0
0
8
8
16
0
4
4
4
0
0
0
1
16
4
16
0
1
1
1
4
4
4
24
2
2
0
0
0
8
16
8
2
8
0
0
8
8
0
8
8
0
0
16
16
0
0
8
1
0
0
0
0
8
8
8
0
8
0
8
8
0
0
0
0
0
0
0
0
0
8
0
0
0
0
8
0
4
4
4
0
0
4
4
0
0
0
0
8
1
0
8
24
17
16
4
0
3
1
16
8
16
0
8
4
16
8
1
1
0
0
16
24
8
8
2
2
0
8
8
4
4
4
4
8
8
16
8
40
8
8
0
2
8
4
8
4
4
8
8
8
8
21
21
8
28
8
18
18
32
8
0
8
16
0
0
0
0
8
16
0
0
0
18
0
0
0
8
0
0
20
20
1
32
32
32
32
32
32
0
0
0
0
20
8
8
8
8
8
8
8
8
0
4
8
8
8
8
0
0
0
16
16
24
24
24
8
8
16
2
2
16
8
8
9
9
2
8
8
8
8
0
1
7
1
0
0
0
1
1
1
1
0
0
0
4
4
4
4
4
8
24
0
0
16
0
0
16
21
4
8
16
0
0
16
2
0
8
8
0
0
0
0
0
0
2
2
2
2
2
2
0
0
8
2
32
32
2
2
2
24
8
8
16
16
16
8
8
0
0
4
4
0
0
18
0
8
8
8
32
32
11
2
2
2
0
0
8
8
8
4
4
0
0
8
8
0
0
4
4
0
0
0
8
32
32
32
24
0
0
16
16
8
8
8
8
0
0
20
16
8
8
8
8
8
0
0
0
0
8
8
8
8
1
16
16
16
16
0
0
0
0
16
0
0
4
32
0
1
1
28
4
0
0
0
6
6
8
8
8
0
8
0
0
0
8
18
8
8
16
4
4
4
8
8
18
19
16
12
0
0
24
24
8
4
24
8
8
0
24
24
0
0
0
8
32
0
0
0
16
4
2
2
2
8
0
8
8
8
8
8
8
8
8
0
58
58
0
0
0
2
2
2
16
0
10
1
16
48
8
8
8
1
1
1
4
18
16
16
8
8
8
0
0
0
1
1
1
1
28
16
16
16
16
18
1
1
0
0
8
8
8
8
18
13
13
0
8
8
8
0
0
29
12
18
0
0
2
0
0
8
32
32
32
0
24
24
16
17
48
16
4
4
4
8
8
8
8
8
8
8
8
8
8
6
0
0
0
0
0
0
8
32
8
16
26
8
0
8
16
16
1
8
1
9
16
16
2
32
0
0
0
0
16
8
8
0
2
2
2
4
0
8
24
8
0
24
0
0
0
0
4
48
48
0
14
0
16
24
24
8
0
0
8
8
8
8
8
8
8
0
8
8
24
8
8
0
0
0
0
0
0
0
24
24
24
0
0
16
16
0
0
0
0
8
4
4
8
8
8
8
8
0
0
16
0
1
36
36
0
0
0
4
4
4
0
0
0
0
8
8
8
2
2
2
0
8
8
0
0
16
16
8
8
8
12
16
16
0
0
0
0
0
0
16
32
8
4
4
16
8
0
0
8
8
8
8
8
8
3
1
1
8
0
16
16
16
16
16
4
32
32
16
16
0
0
0
0
0
5
8
8
8
0
0
0
8
8
8
8
32
8
1
1
8
24
8
8
8
8
0
0
16
0
4
4
16
9
27
8
0
8
8
0
4
4
0
0
0
0
8
8
8
8
8
0
0
1
4
0
9
1
8
8
8
8
8
16
4
8
8
8
20
16
0
0
8
8
8
0
0
8
8
8
0
0
4
0
8
4
1
0
8
0
16
16
16
0
0
1
1
4
8
8
4
8
8
8
4
0
8
0
0
1
37
37
0
0
0
0
0
0
0
0
4
16
0
0
0
16
16
0
0
16
0
8
0
0
0
8
8
0
0
2
8
8
0
16
16
0
0
8
4
8
8
1
1
1
1
0
5
5
5
0
9
9
0
8
8
8
16
0
0
0
0
0
8
8
24
8
8
4
0
0
0
16
16
0
0
0
0
4
4
16
16
0
16
0
17
0
0
16
16
16
8
4
1
8
16
16
23
23
0
0
0
0
0
17
16
8
8
24
8
8
8
1
4
8
8
8
8
8
8
4
4
4
0
0
0
17
24
18
0
0
0
0
0
0
0
0
16
16
16
18
1
1
0
20
20
16
4
4
4
16
16
24
0
8
16
16
16
8
24
24
0
0
0
8
8
1
1
0
0
0
0
0
13
0
0
8
8
8
4
0
0
12
8
8
0
24
16
16
4
0
8
0
0
0
35
35
8
0
8
28
28
28
28
2
16
18
8
8
8
8
0
8
8
1
1
0
9
0
0
0
8
8
8
0
8
8
8
2
8
20
2
20
4
0
0
0
0
0
0
1
1
2
2
2
0
2
20
16
16
16
16
0
22
22
16
16
16
0
52
48
0
0
0
16
16
16
8
8
0
0
0
0
8
8
8
8
8
8
8
0
0
0
16
16
2
1
1
1
12
2
8
4
4
4
32
8
16
0
0
0
0
0
1
0
8
8
8
0
8
2
2
28
30
0
0
0
0
0
0
8
0
0
5
2
8
2
2
0
8
16
16
16
8
4
21
21
8
1
0
8
8
8
18
0
0
0
0
0
8
8
8
16
16
16
8
8
8
8
4
36
8
0
0
32
32
17
16
1
5
5
4
0
32
0
16
0
0
0
1
0
0
0
8
8
24
8
8
8
0
8
8
0
8
4
4
0
8
8
0
0
0
0
2
2
8
8
8
16
0
22
1
1
1
1
0
0
8
8
8
0
8
8
8
0
0
4
0
20
20
20
16
8
33
33
33
33
41
0
0
0
0
0
1
12
12
4
4
4
4
4
4
4
4
1
1
1
0
0
1
16
8
16
8
8
12
12
4
0
2
2
1
1
0
8
14
14
0
33
0
0
0
8
8
8
48
0
0
1
11
0
4
0
8
8
16
16
0
0
4
9
0
0
1
1
8
8
8
8
1
1
0
16
16
16
28
4
0
0
8
8
8
4
16
16
16
0
8
8
8
16
16
57
0
8
8
0
16
4
16
0
8
8
8
8
8
8
0
2
16
16
16
0
0
0
0
22
22
22
22
8
8
8
1
8
8
0
0
30
2
2
0
0
1
24
0
0
0
8
8
10
16
0
8
8
0
0
0
4
0
0
4
8
0
12
8
0
12
16
16
24
16
0
8
16
16
24
0
0
0
0
0
0
0
0
0
0
2
16
16
16
8
8
8
8
8
16
0
0
0
16
16
16
16
0
8
8
0
16
16
0
16
16
16
16
16
16
16
16
16
16
0
0
0
0
0
0
29
29
29
0
1
1
4
0
8
2
2
2
2
0
0
0
0
8
8
2
20
0
0
28
22
22
8
8
8
8
8
16
16
16
0
0
17
17
0
0
16
16
16
16
0
16
16
2
0
0
0
17
17
25
17
25
8
8
8
8
8
8
8
16
16
16
8
0
0
0
2
0
0
0
0
0
0
0
0
8
8
8
0
0
16
16
16
8
0
0
0
0
0
0
0
8
0
0
8
16
8
24
30
30
16
0
8
0
0
8
0
2
0
16
20
16
0
8
8
0
0
4
4
16
0
0
58
0
0
0
16
0
8
8
8
8
24
0
8
0
1
8
8
8
16
8
8
8
8
8
16
16
16
16
16
8
0
0
0
0
4
24
0
8
8
8
8
8
8
0
4
8
8
8
8
8
4
8
0
0
24
12
12
20
20
20
4
0
62
4
0
0
0
16
8
16
4
16
8
8
8
0
0
0
0
8
0
0
0
0
16
0
0
8
8
8
0
16
14
8
16
16
16
4
4
0
0
8
8
8
0
2
0
1
8
0
0
0
8
8
8
16
0
20
8
8
8
16
8
8
1
1
1
0
0
0
0
0
0
0
0
3
3
8
8
8
8
8
8
8
8
16
0
8
1
24
24
24
16
0
0
0
16
8
1
1
1
16
0
0
16
0
8
8
0
0
8
1
1
1
1
1
1
8
8
8
24
0
0
0
24
3
1
1
2
2
2
2
0
0
0
0
0
8
8
29
0
8
16
16
0
16
8
0
8
8
8
0
0
0
16
16
0
0
0
0
0
0
0
0
16
0
16
8
25
8
8
0
0
0
2
0
1
16
16
0
0
8
8
16
24
0
8
8
8
8
2
0
8
8
31
10
10
2
2
2
2
16
8
8
0
8
8
8
0
8
0
8
8
32
0
8
0
8
0
27
2
16
0
0
0
8
8
0
0
0
0
8
4
4
0
0
0
16
8
4
2
24
0
0
40
40
1
8
2
0
4
8
8
8
0
0
0
1
1
1
1
8
2
0
8
0
0
0
8
8
8
0
1
1
1
0
9
9
9
1
1
1
0
0
16
16
16
0
0
1
4
4
8
4
4
2
0
8
8
2
2
2
8
16
16
16
4
4
24
8
0
0
0
16
0
0
1
20
0
0
0
1
8
32
0
0
8
6
0
2
4
0
8
8
8
8
8
0
4
8
8
2
8
12
12
0
0
0
0
16
0
0
4
4
0
0
2
2
2
0
0
0
0
17
2
20
20
0
0
4
0
0
16
0
8
0
0
0
0
16
0
0
8
24
0
0
1
1
8
8
8
4
2
16
24
0
20
0
8
0
0
16
26
0
0
4
0
16
16
0
16
4
2
2
0
8
8
8
8
8
11
8
10
16
0
0
8
8
8
8
0
0
0
8
8
0
16
16
8
8
16
8
8
0
0
0
0
8
0
8
16
16
1
1
2
0
8
0
0
8
8
8
4
2
2
8
0
8
6
6
6
6
0
0
0
0
0
8
0
0
0
16
16
4
32
1
0
8
8
16
2
10
14
0
4
4
4
4
4
0
0
0
0
0
8
4
8
8
8
8
16
16
16
3
3
3
40
40
40
8
57
57
4
0
6
6
4
4
4
0
34
34
8
8
8
8
8
4
0
0
8
8
16
0
0
0
0
0
4
4
1
1
0
0
4
16
0
0
0
0
0
12
8
16
8
8
8
0
1
4
16
8
8
4
4
0
0
24
24
9
8
8
0
0
8
24
0
0
0
0
0
0
0
0
0
8
0
8
8
0
32
1
1
1
1
1
24
0
16
0
0
0
16
16
17
16
16
0
0
0
0
0
8
24
16
16
16
24
24
16
8
8
8
2
2
8
1
17
1
8
8
16
0
8
8
16
8
4
12
0
0
0
0
1
1
1
1
16
16
0
0
16
8
0
16
16
16
16
16
8
8
8
16
0
16
20
16
0
8
4
0
0
0
10
8
8
8
8
8
0
8
0
8
0
0
20
16
0
0
0
16
8
8
8
0
8
4
4
4
4
8
0
0
8
0
0
16
1
8
8
8
8
16
0
0
0
0
0
0
8
0
0
8
8
8
8
4
4
16
16
8
8
8
8
28
28
29
0
0
4
4
0
20
4
4
0
0
0
8
8
8
4
4
16
16
16
16
0
1
1
0
2
1
1
0
0
16
0
24
16
0
0
0
0
8
8
0
16
2
4
0
8
8
0
0
8
8
8
8
0
8
8
8
8
8
0
44
16
8
8
16
16
4
4
0
8
8
8
16
16
0
16
0
8
0
12
16
18
0
8
0
0
0
0
16
4
20
17
17
8
8
8
8
8
0
0
8
8
8
4
0
16
0
0
0
0
0
0
0
0
8
8
8
0
0
4
4
4
8
8
8
20
20
0
4
4
8
8
2
16
4
0
0
0
8
8
4
16
26
2
2
2
8
6
2
2
8
8
4
4
4
0
0
0
0
16
0
8
24
8
8
8
7
8
8
24
0
0
0
4
4
0
2
2
1
1
1
0
0
0
4
4
4
8
8
8
8
8
8
16
8
8
8
0
0
16
16
16
8
0
0
4
0
16
4
4
0
16
16
24
0
4
8
8
8
8
8
8
0
0
16
16
16
18
8
8
4
40
16
16
16
0
8
20
20
20
8
8
0
4
4
16
0
12
8
8
8
8
2
18
2
2
0
0
8
32
32
32
4
0
0
8
8
1
8
8
1
1
1
8
0
0
8
16
0
4
4
0
8
20
4
0
28
28
8
0
11
8
8
16
16
16
16
4
0
0
0
8
8
39
4
0
0
0
0
10
10
0
0
8
0
0
1
1
8
0
0
1
0
0
0
0
8
8
16
16
16
8
8
0
30
16
24
8
8
8
8
0
0
0
0
8
8
4
4
0
0
8
0
8
0
4
16
8
8
8
8
0
0
0
0
8
8
0
1
0
8
16
16
0
0
0
8
8
8
16
8
2
0
0
16
16
16
4
0
0
0
8
8
8
8
2
0
17
16
4
0
0
2
2
32
0
8
8
0
20
0
16
16
16
8
8
8
6
6
6
6
6
0
8
4
0
0
0
1
0
8
8
8
1
1
18
18
0
0
8
8
8
8
1
8
8
8
0
4
8
16
16
18
18
8
8
8
0
0
0
0
2
2
2
16
16
16
20
0
8
8
2
2
2
16
24
0
8
25
25
16
8
24
0
13
1
1
8
0
0
1
0
16
8
0
0
0
16
1
2
2
17
16
4
16
0
0
4
4
0
24
8
0
0
8
8
0
0
17
0
16
4
4
4
4
0
0
8
16
16
0
0
16
16
2
0
0
16
16
8
8
8
0
0
8
8
40
40
8
8
0
0
0
0
2
16
16
0
10
8
8
10
10
8
8
8
2
2
0
12
16
0
0
0
8
0
0
0
32
7
7
7
7
24
16
16
16
4
4
0
0
0
16
0
0
0
8
0
0
0
0
0
0
20
20
12
4
0
8
8
0
0
0
0
0
0
2
32
32
32
32
16
16
2
18
0
0
1
0
8
0
1
1
34
34
0
0
0
8
16
16
8
0
24
0
0
0
16
8
8
8
8
8
8
16
16
0
0
8
8
0
0
2
2
4
4
32
16
16
16
8
0
2
1
0
0
2
2
2
0
0
0
4
4
1
4
4
4
0
16
4
0
6
16
4
8
8
8
4
4
16
8
24
24
16
0
2
2
2
44
0
0
0
0
0
0
1
0
8
8
0
16
16
0
8
16
8
8
8
0
0
16
16
0
1
9
2
0
0
0
8
2
2
2
0
10
10
8
16
16
16
16
8
8
0
0
8
2
8
24
8
4
1
1
1
16
16
8
8
16
16
16
16
0
0
2
4
0
16
16
24
0
0
8
8
8
0
8
8
8
1
1
2
42
8
8
0
8
8
8
8
8
0
0
0
0
24
16
24
10
10
10
8
8
8
8
8
4
4
24
16
0
24
24
0
8
8
8
8
8
0
16
0
0
0
0
0
2
16
0
0
16
16
0
24
16
8
0
0
0
0
0
0
0
0
8
8
0
16
8
8
8
8
0
0
8
4
0
0
0
0
8
8
8
8
8
16
16
8
8
8
8
16
16
16
16
16
16
16
16
16
20
20
8
8
20
0
8
8
8
8
8
8
8
24
23
23
23
4
4
1
1
1
1
1
1
1
0
0
0
0
16
16
16
16
16
16
0
0
8
8
4
4
21
21
0
0
8
16
8
8
8
8
8
0
0
0
8
4
0
0
20
20
16
16
8
8
8
8
8
8
8
6
0
2
8
1
16
8
0
0
0
16
16
16
0
0
0
0
0
0
5
5
5
2
16
0
0
0
16
16
0
0
0
8
16
16
0
8
0
0
8
8
0
8
8
8
8
24
24
24
24
24
8
8
8
8
2
2
2
2
8
8
1
1
14
1
8
8
0
8
16
8
2
2
2
2
2
8
8
0
1
1
1
1
1
8
8
8
8
8
8
8
8
8
8
8
0
0
0
8
8
0
0
16
16
16
0
0
2
0
8
8
0
8
8
8
16
16
0
0
32
8
0
0
10
0
16
8
8
0
8
8
8
8
8
4
4
16
2
2
2
8
8
8
8
25
8
0
8
8
16
16
4
0
0
5
16
0
8
0
0
0
8
8
0
0
0
1
8
8
0
8
6
6
0
0
20
20
20
20
0
0
0
16
18
16
0
0
0
2
2
2
2
2
2
0
0
4
4
4
4
0
8
8
8
8
8
0
4
0
0
8
8
8
0
8
32
32
4
0
0
0
0
16
0
0
0
0
2
4
16
16
0
0
0
16
16
24
4
32
32
0
0
0
32
4
0
0
1
29
0
4
4
4
0
0
0
24
8
16
8
16
16
2
0
24
24
24
16
0
0
5
0
0
2
24
8
8
8
8
8
0
2
2
4
6
16
0
0
8
0
4
4
4
10
0
8
4
8
8
0
0
16
16
1
8
8
0
4
0
4
0
0
1
4
4
4
16
16
8
0
0
4
8
8
8
16
15
0
8
4
20
4
8
8
22
0
16
16
6
8
2
8
9
9
8
0
0
0
16
8
2
0
4
4
0
0
24
24
16
16
0
6
6
6
0
0
0
2
0
0
0
0
0
20
20
4
0
8
8
8
0
0
0
8
8
4
0
0
8
2
0
0
16
8
16
16
0
40
41
0
16
0
16
16
16
16
16
8
8
2
6
16
0
0
0
0
0
0
16
24
8
8
8
16
16
16
16
0
0
8
8
8
0
16
16
16
8
16
8
8
8
8
1
1
1
8
8
16
2
2
2
0
16
16
10
2
0
0
16
2
2
2
2
8
4
8
8
0
1
8
8
0
0
8
8
0
0
8
8
16
16
0
16
0
0
4
4
0
1
9
1
0
8
8
9
9
2
0
16
16
16
16
16
16
4
0
0
0
8
8
0
8
24
8
8
8
8
8
8
8
16
16
0
0
0
0
0
0
0
0
0
8
0
53
53
53
53
8
0
24
8
0
8
1
0
0
1
1
1
9
0
8
8
4
4
0
32
16
0
0
16
16
16
0
8
8
8
4
4
2
0
16
4
0
1
27
18
0
24
0
4
0
8
14
14
14
8
0
0
0
0
0
0
0
4
8
12
16
16
0
8
8
8
16
32
0
0
24
24
2
17
21
16
16
0
8
8
8
8
8
59
0
32
8
8
8
8
8
28
16
0
0
0
8
8
8
0
0
20
20
1
1
0
18
2
30
0
0
0
0
0
0
16
8
4
0
9
16
0
0
0
0
0
0
0
0
8
8
0
0
0
8
4
4
4
4
8
0
0
0
8
8
8
8
8
2
2
24
8
0
8
8
1
1
1
8
8
8
8
8
1
1
1
9
9
0
8
8
0
0
4
4
2
2
2
2
2
4
0
24
8
8
0
8
8
8
9
0
8
0
0
8
16
0
0
8
1
0
0
17
16
16
16
0
0
4
2
0
16
16
0
0
0
0
0
8
0
0
0
8
0
8
8
8
24
24
8
16
24
24
0
16
2
16
16
8
8
8
8
8
8
8
8
0
0
8
25
2
0
0
2
18
18
8
8
0
0
0
0
9
9
1
20
20
20
0
0
0
0
19
16
3
3
16
2
2
0
0
4
0
8
8
8
1
0
0
0
8
0
0
0
0
0
8
8
0
8
2
2
0
1
1
0
1
1
1
1
8
0
40
0
0
0
8
0
0
0
10
10
10
16
16
8
0
0
16
16
16
16
0
4
0
0
4
8
1
1
0
0
0
0
8
8
0
25
0
0
32
0
16
16
16
32
8
8
2
8
0
0
0
0
24
8
0
16
16
24
16
0
8
0
16
8
0
8
0
0
0
0
16
16
16
0
16
8
8
0
8
8
4
4
0
8
8
1
1
16
16
4
4
4
4
4
0
0
16
8
8
8
8
8
18
16
16
16
18
8
16
12
4
4
0
1
1
0
2
20
8
8
8
0
8
8
8
0
8
8
8
0
0
2
4
0
16
16
16
16
8
8
16
0
1
1
1
1
8
8
0
8
0
0
0
0
0
0
0
0
8
8
8
0
16
16
4
4
0
16
0
8
8
8
8
0
0
8
0
0
0
0
0
0
8
8
14
0
8
8
0
0
2
2
0
8
8
8
8
8
16
8
8
8
8
8
8
8
0
0
0
8
8
8
8
8
8
22
22
0
0
0
25
25
25
17
32
0
0
4
0
8
0
0
0
48
0
8
16
0
16
17
17
16
16
0
8
0
8
0
0
16
0
1
0
0
0
0
0
0
0
0
1
0
0
8
8
1
8
8
8
8
8
16
8
8
8
12
17
0
2
16
8
8
0
0
0
1
1
8
6
6
6
6
0
0
8
0
8
8
8
8
18
0
16
16
0
32
4
12
1
0
16
16
16
4
4
4
32
0
20
4
4
1
16
0
0
1
0
1
0
0
16
16
16
0
0
8
8
8
8
8
8
0
0
0
5
5
5
20
4
0
0
16
20
0
32
8
8
10
16
8
1
1
16
16
20
4
16
16
1
1
2
12
4
2
8
12
8
8
8
0
24
24
8
0
0
0
0
16
16
0
16
16
16
0
0
2
2
1
2
16
8
8
9
9
9
0
16
16
16
16
8
20
20
20
0
8
16
8
33
33
0
0
0
4
4
8
0
0
0
8
0
0
8
8
8
8
17
2
0
0
8
8
16
8
8
8
16
8
8
16
8
8
0
4
4
16
0
0
8
8
8
0
18
18
0
1
8
8
8
8
8
0
8
8
0
0
0
0
0
8
0
0
8
8
0
0
0
9
8
8
8
1
1
1
16
8
8
1
1
0
0
38
8
0
0
2
0
16
16
16
0
8
0
0
5
5
16
16
16
16
16
0
4
1
0
8
8
16
16
18
18
36
36
8
0
8
8
8
16
16
0
0
0
0
0
0
8
16
16
8
8
9
8
40
32
32
2
18
32
0
0
8
24
8
0
1
1
1
1
1
0
8
8
8
0
8
8
8
8
8
0
0
0
0
24
8
16
16
16
16
8
8
8
8
0
0
0
0
0
0
0
8
0
4
8
0
21
23
21
21
21
0
25
25
0
0
8
8
8
8
8
0
8
8
8
0
0
1
1
1
0
0
9
16
16
4
0
0
0
0
0
2
11
4
4
4
0
4
0
8
0
0
0
0
4
16
16
16
8
1
0
0
16
16
0
0
8
16
2
2
2
2
0
0
20
8
0
8
8
9
8
0
0
0
0
0
16
16
16
16
16
32
4
4
8
32
57
6
6
16
16
0
0
8
0
8
0
16
4
24
0
0
24
1
1
18
0
0
8
8
4
18
18
0
3
3
3
3
0
8
8
8
2
0
2
2
2
0
0
16
16
16
0
0
0
0
0
16
16
4
0
8
8
8
16
8
8
8
0
1
1
32
32
32
0
0
16
0
8
8
8
0
2
8
8
0
0
1
1
24
24
16
8
8
16
0
0
1
1
0
0
0
1
4
4
0
0
4
1
1
4
16
16
16
0
0
0
16
48
48
16
0
8
8
0
0
0
0
0
16
0
0
0
0
8
0
0
16
24
8
0
0
0
0
15
14
8
0
8
8
0
0
24
0
0
29
29
1
1
0
1
1
0
0
4
4
4
0
8
12
8
0
0
0
0
16
12
12
12
8
8
8
0
0
0
0
0
0
0
0
18
16
1
0
0
0
0
8
0
8
8
8
8
8
0
20
8
8
8
4
4
8
8
0
0
8
0
16
16
24
4
24
24
8
10
8
0
24
2
8
8
8
1
1
1
1
1
0
0
1
0
0
8
8
8
0
0
16
24
16
16
16
0
0
0
0
8
8
8
8
8
8
8
20
16
0
16
2
8
8
8
8
0
8
21
8
8
8
5
0
8
0
8
8
8
1
0
0
0
24
8
2
2
2
0
0
0
0
16
0
3
0
16
9
0
0
16
16
16
2
0
16
16
16
16
0
0
0
4
4
8
8
0
8
8
0
0
0
16
11
3
3
3
3
3
3
8
0
8
8
8
18
16
0
16
16
0
2
2
8
8
8
24
0
0
0
0
0
1
1
0
0
0
8
0
0
4
8
1
17
49
33
33
33
0
16
16
16
16
16
0
8
24
24
0
12
2
0
6
6
4
0
0
0
16
0
0
0
0
10
4
4
4
0
8
0
8
8
0
0
0
0
0
0
16
0
16
16
16
16
0
0
16
32
2
0
0
0
0
16
16
1
2
2
8
4
16
30
30
1
16
8
4
4
4
4
0
0
0
0
0
0
8
16
8
8
8
8
8
0
0
0
0
8
8
8
20
0
0
0
0
0
0
0
0
8
0
16
16
20
18
18
18
2
8
1
1
1
1
2
0
0
8
0
0
0
0
0
0
0
8
32
20
20
20
0
0
8
4
4
32
8
16
16
16
8
8
8
6
16
16
16
0
2
2
2
1
1
0
0
8
16
8
0
8
0
17
0
20
0
0
16
16
16
32
34
34
1
19
8
8
24
24
8
8
8
26
20
16
4
4
4
2
8
16
16
16
16
8
8
16
16
8
8
4
8
1
8
8
8
8
8
8
2
2
8
8
8
0
0
12
1
1
1
0
22
22
22
22
0
0
0
0
16
0
0
0
8
0
8
8
16
8
0
0
8
8
8
8
8
0
4
8
8
8
0
8
16
0
0
8
8
0
0
4
16
24
0
0
0
0
8
0
8
8
0
1
16
16
16
16
16
16
40
8
0
8
8
0
2
2
2
16
16
28
16
0
8
8
0
0
16
16
12
8
1
1
1
1
16
8
8
4
4
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
8
8
8
8
8
0
56
16
8
8
0
0
1
1
1
8
8
8
0
0
32
32
32
32
32
32
32
32
32
32
32
32
0
16
8
8
0
0
0
4
0
8
0
0
0
20
20
20
8
8
8
0
0
1
1
1
1
0
0
0
8
0
0
0
8
8
0
1
1
1
4
4
4
0
0
9
4
16
16
16
0
8
0
2
2
16
8
8
8
8
0
0
0
8
4
16
0
16
16
16
8
8
8
0
6
2
1
1
1
16
16
0
0
24
8
2
2
2
0
2
2
2
16
4
4
4
4
20
16
1
4
16
16
16
8
0
0
16
16
34
24
0
24
0
0
8
8
0
16
0
16
0
0
8
8
8
16
0
0
0
0
2
18
18
2
0
8
8
16
0
0
52
52
52
2
2
0
8
8
8
36
4
4
0
0
0
0
4
0
0
12
12
0
32
32
32
8
8
0
8
0
8
8
8
0
26
2
0
1
36
36
0
8
0
4
4
4
8
33
0
0
0
8
8
16
24
0
8
8
0
18
0
16
16
9
0
1
1
1
1
0
0
0
8
0
0
0
0
4
4
4
16
10
0
16
8
8
0
0
8
8
16
16
4
4
8
8
8
8
16
16
16
0
32
32
8
8
8
8
16
20
20
8
0
0
0
8
0
0
0
0
0
0
2
1
4
4
0
2
2
0
3
3
16
16
16
0
0
8
8
8
8
16
16
16
8
16
16
16
8
8
2
10
8
16
4
0
0
0
0
0
8
4
4
0
1
17
8
8
8
0
0
0
8
4
0
8
8
16
18
25
40
0
8
8
16
8
8
8
8
8
4
12
12
8
12
24
24
24
4
4
0
0
0
0
0
0
0
0
32
4
17
8
8
8
0
16
16
16
1
25
32
32
24
8
2
2
0
0
0
0
0
0
0
0
0
16
16
16
16
8
16
0
0
19
0
16
16
16
8
8
0
0
8
8
8
0
32
8
8
16
16
16
16
16
2
0
16
0
0
8
8
0
0
16
0
0
0
0
16
16
16
1
1
0
0
0
0
0
0
0
4
0
0
6
8
8
16
16
16
16
0
32
32
0
8
0
0
16
16
16
16
21
20
2
22
0
0
22
1
1
8
8
0
0
2
8
0
32
4
0
0
0
16
8
8
8
8
0
4
4
4
0
16
24
0
0
8
8
8
0
0
0
0
0
0
0
0
8
8
8
0
2
2
2
0
16
8
16
16
16
8
0
0
0
0
0
0
0
0
16
16
0
32
8
2
8
0
8
1
1
1
0
0
0
0
8
0
0
8
8
8
0
0
0
16
0
1
16
16
4
4
4
24
24
16
16
0
24
24
24
20
0
0
0
0
0
8
8
0
1
1
0
8
8
0
0
0
16
0
0
16
16
16
0
4
16
16
16
4
4
4
8
4
16
8
0
0
0
8
0
16
16
0
0
0
0
0
17
1
0
0
8
8
0
16
16
16
4
4
0
0
0
0
8
2
0
0
0
8
0
8
32
4
1
1
10
16
16
0
0
16
16
2
1
16
16
16
1
0
0
1
28
4
8
9
16
16
8
1
0
0
8
44
16
0
0
8
42
8
8
8
8
8
8
8
8
8
8
8
8
0
0
8
8
8
0
0
0
8
8
8
0
8
8
16
2
8
8
8
8
0
0
8
8
8
0
8
12
4
32
32
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
1
1
1
0
0
8
1
0
19
4
0
16
16
8
0
16
4
8
24
24
24
1
1
5
16
0
2
0
0
4
4
8
8
24
24
24
8
28
16
16
10
8
34
50
4
4
4
16
18
4
4
8
16
16
16
16
17
17
9
4
4
16
6
6
5
21
17
16
16
16
0
0
0
0
9
1
16
0
0
0
16
0
8
8
8
8
16
16
16
0
0
0
0
0
0
0
0
8
8
8
0
10
0
0
0
0
0
2
2
8
0
0
1
1
1
0
0
16
16
32
8
0
0
16
16
8
8
8
8
24
0
0
16
0
8
16
24
24
16
0
0
0
0
0
8
8
0
9
4
17
8
16
16
2
2
0
4
4
0
0
0
8
0
4
4
17
8
8
16
4
4
0
8
0
0
0
0
0
8
8
8
6
6
0
0
0
0
2
8
8
8
16
4
4
8
20
20
20
8
8
8
0
0
0
24
24
24
0
0
8
16
8
8
2
0
8
8
0
0
8
16
0
0
8
0
2
8
8
0
0
24
0
8
8
8
8
0
0
16
0
0
0
8
8
16
16
1
9
1
1
1
0
12
8
8
0
0
8
8
2
2
0
16
16
16
20
20
1
1
0
0
0
0
6
20
0
0
1
17
1
16
0
0
16
2
2
2
0
16
24
24
8
8
0
8
8
0
8
0
0
0
16
16
0
0
1
8
8
8
8
8
0
0
0
0
0
8
0
16
16
16
0
0
4
4
0
0
0
26
0
0
8
8
25
0
0
8
0
0
8
4
0
0
16
0
0
0
8
0
0
0
8
8
8
16
16
0
0
0
16
16
16
16
1
0
1
1
1
1
0
8
0
0
0
8
4
0
0
0
0
20
23
0
0
0
0
8
8
16
16
0
0
16
1
16
16
0
0
1
1
0
0
16
16
0
13
13
13
13
0
12
12
12
8
4
20
9
1
1
1
2
2
8
8
12
12
12
12
8
0
4
16
0
0
8
0
17
17
16
8
16
0
8
32
41
4
32
2
8
16
8
8
0
4
20
8
8
1
0
0
0
0
16
8
8
0
0
1
8
16
8
8
8
8
17
0
8
8
8
7
7
0
8
0
8
0
1
5
2
0
0
0
0
0
9
16
24
0
28
1
0
0
0
0
0
0
0
0
16
16
4
4
4
4
5
1
1
0
0
16
8
20
20
0
0
24
0
0
0
2
0
0
8
8
4
4
4
0
0
8
48
48
16
4
0
16
8
8
4
4
16
20
20
20
2
0
0
0
8
5
17
17
0
0
0
0
4
0
0
16
0
0
8
0
0
8
0
0
0
16
16
8
8
2
16
16
0
1
0
0
0
0
0
0
16
16
16
4
4
0
8
8
8
8
0
0
0
18
16
0
4
4
4
4
4
4
0
0
0
0
20
0
4
0
0
2
1
1
1
1
16
2
0
8
0
0
8
0
0
0
24
0
0
0
0
0
0
0
8
8
24
8
8
4
4
0
16
1
0
8
8
0
25
16
16
0
1
1
1
1
0
8
8
16
16
16
0
0
8
8
16
2
2
2
2
0
0
0
0
0
16
0
0
0
16
16
24
8
8
8
0
8
0
0
8
8
16
16
16
56
16
0
0
8
0
4
0
16
0
8
0
0
8
8
0
0
0
0
8
8
0
0
0
8
4
8
16
16
16
0
0
8
8
8
0
0
0
0
8
12
8
2
16
0
0
0
8
16
0
28
0
0
16
16
16
4
4
2
2
0
0
0
0
0
0
1
1
0
0
1
1
1
0
16
16
16
0
0
2
8
0
0
0
8
8
8
8
16
1
1
1
1
4
4
0
0
8
16
4
16
16
0
0
1
0
0
8
8
8
0
8
8
8
4
4
4
8
8
0
8
0
0
8
8
8
0
0
16
16
8
0
16
16
16
1
1
1
1
0
16
16
0
8
0
16
0
0
8
8
0
16
16
16
16
16
16
16
16
2
0
8
16
16
0
1
1
5
1
1
0
8
0
0
22
1
1
4
0
8
16
0
0
0
8
8
0
0
16
16
16
16
16
4
8
16
0
0
0
8
8
8
0
16
12
12
12
12
0
8
0
8
8
8
8
8
8
8
8
8
8
4
4
8
16
16
8
0
12
12
8
8
8
8
0
8
24
24
8
8
8
0
8
8
8
8
16
0
17
0
0
2
2
0
0
0
4
16
8
8
8
0
12
0
0
0
0
28
28
8
0
0
0
0
0
0
0
4
16
8
16
0
0
0
0
16
0
0
8
8
8
8
0
8
0
0
0
0
0
0
0
16
16
8
0
0
0
0
0
8
1
8
8
8
8
24
24
0
25
20
0
0
0
4
4
4
4
4
4
4
0
8
8
0
8
8
8
8
40
8
8
8
8
8
8
2
5
5
5
18
1
1
0
0
0
0
8
8
8
8
16
16
0
0
0
0
16
16
16
16
16
8
40
8
8
8
8
8
8
8
8
0
0
0
0
16
0
8
8
0
0
8
8
8
16
0
0
0
0
8
0
0
8
16
16
16
32
0
0
0
0
8
24
16
16
0
0
8
8
0
0
20
0
0
0
42
12
12
12
0
8
2
16
16
0
0
8
8
0
0
24
24
24
8
8
8
8
0
4
0
8
8
0
0
4
8
8
1
1
16
16
16
0
1
4
8
8
0
0
8
8
8
4
4
10
4
19
8
1
1
0
0
26
0
0
0
0
16
2
22
8
20
4
8
8
8
0
20
20
8
0
0
6
0
0
0
0
0
0
1
4
0
8
8
8
8
8
8
8
8
8
8
0
0
17
17
0
8
8
8
24
8
0
0
0
0
1
8
16
8
1
9
1
0
12
12
16
16
0
1
0
0
0
0
4
16
20
2
2
0
16
40
1
1
8
8
8
8
0
12
16
16
4
2
8
16
16
16
0
0
0
0
0
0
8
8
8
2
4
8
8
2
2
2
2
12
16
8
8
12
22
0
0
2
16
18
24
16
24
8
0
0
1
1
0
8
0
0
0
0
8
8
8
8
57
16
8
8
8
16
4
0
8
8
8
8
0
0
0
8
8
8
8
8
8
8
20
0
0
4
0
8
8
8
16
16
4
4
4
4
8
8
0
0
0
0
0
8
8
28
0
24
16
8
8
8
8
8
8
2
2
2
16
16
16
8
2
4
2
2
2
16
0
16
8
0
0
16
4
0
0
8
8
8
0
0
0
24
8
8
8
0
4
4
0
24
8
0
8
16
8
16
16
3
8
0
8
8
0
8
8
0
16
16
16
5
0
16
16
0
0
0
24
20
20
0
8
2
2
2
8
8
8
8
8
4
4
16
16
0
16
16
0
8
0
0
0
0
0
0
8
8
8
8
0
0
2
8
0
16
16
8
8
0
24
8
0
0
0
20
0
0
8
8
8
8
0
0
0
0
0
8
0
8
8
0
8
0
0
12
12
8
8
0
16
16
0
0
5
8
8
32
16
0
16
0
8
8
0
0
0
0
8
8
28
2
16
8
0
0
4
8
0
8
8
8
8
0
8
8
9
1
0
0
0
4
4
8
16
16
16
0
0
0
0
24
0
0
0
16
17
4
0
0
0
0
16
28
8
8
8
16
16
16
16
0
0
8
8
0
8
8
4
4
4
8
32
0
8
8
0
0
0
16
16
0
16
0
0
0
0
0
0
0
8
0
0
8
8
0
16
16
16
8
0
4
4
8
8
0
8
8
8
8
8
16
16
29
0
0
0
20
20
8
0
0
0
16
16
24
0
18
18
0
0
8
8
16
16
2
37
0
8
4
8
8
16
8
8
16
8
8
8
16
16
16
16
0
0
24
1
1
4
8
0
0
12
12
0
8
28
0
0
8
0
2
0
0
8
8
8
4
4
0
4
1
0
16
16
16
16
16
0
8
4
16
2
0
0
0
0
0
0
0
0
0
0
0
17
17
0
2
8
8
0
0
0
2
2
2
2
0
8
8
8
21
1
8
4
0
4
8
32
0
0
0
2
2
1
1
58
58
24
16
2
0
0
0
0
16
18
16
18
18
8
8
16
20
16
8
1
8
8
32
0
0
16
0
8
0
0
0
1
1
0
0
8
8
12
0
12
2
2
4
0
0
24
0
8
8
0
8
8
0
0
0
0
16
0
4
8
14
4
0
16
16
16
16
6
6
3
2
0
0
0
0
0
0
0
0
0
0
8
8
8
2
8
8
8
6
6
6
17
17
17
8
8
8
0
15
14
16
4
4
8
1
1
1
1
1
0
24
2
8
0
0
8
12
12
8
0
4
20
4
4
24
0
8
0
0
0
0
0
0
0
8
0
0
16
16
16
0
0
8
16
16
16
0
53
20
20
0
0
0
0
24
24
0
0
0
0
0
16
6
16
16
16
1
1
0
0
0
0
0
0
0
0
0
17
17
0
16
16
1
0
4
4
17
0
4
4
4
0
0
16
16
0
0
0
8
1
8
8
8
16
0
2
8
16
1
8
5
2
2
10
8
8
8
6
16
17
0
4
4
4
4
0
0
0
16
16
16
4
8
16
4
4
0
1
1
2
2
2
40
8
0
0
0
0
8
8
8
8
8
8
0
0
8
0
16
16
16
4
0
0
0
16
16
8
0
8
8
1
8
8
0
0
20
20
8
2
2
8
8
4
4
8
8
8
8
8
4
0
0
25
8
8
0
2
4
4
16
8
32
0
0
4
0
0
0
2
2
0
20
4
8
0
0
1
8
0
8
8
8
0
8
16
8
8
8
8
10
0
0
8
8
0
20
24
24
1
0
0
9
1
2
2
2
2
2
2
2
8
17
0
0
0
0
0
0
8
0
0
0
0
8
0
0
0
8
24
16
20
16
0
0
0
0
0
16
2
8
0
0
0
48
16
16
6
2
8
0
16
16
0
4
4
8
24
2
31
31
31
31
31
8
32
32
0
16
16
0
4
6
4
4
4
16
16
0
0
0
0
8
0
8
8
8
8
2
0
0
0
8
0
0
8
8
0
16
0
1
1
8
8
0
0
0
16
24
0
16
8
24
4
19
0
4
16
40
0
0
8
8
8
8
24
8
8
9
9
0
8
0
0
0
0
8
8
0
0
0
0
0
8
8
8
8
8
0
0
8
8
8
0
1
16
0
1
1
1
1
16
16
8
1
1
8
0
0
8
8
9
32
32
4
0
1
1
8
0
0
0
0
0
0
1
0
0
16
16
2
16
2
0
0
0
0
16
16
16
0
0
0
0
8
0
2
0
0
0
4
4
1
1
1
1
8
16
8
25
4
0
0
0
0
4
4
0
16
16
16
16
16
16
0
34
1
1
16
1
0
6
0
0
0
0
20
16
16
16
16
16
8
0
0
24
8
8
8
8
8
8
8
0
3
0
8
8
4
2
2
2
8
8
0
0
0
8
2
2
2
8
8
0
0
0
8
8
8
8
0
0
8
8
0
8
1
0
16
8
8
0
8
0
4
1
1
1
1
0
8
8
4
4
8
8
24
24
0
0
16
8
0
0
0
16
16
28
0
0
0
0
2
2
4
0
0
0
18
4
4
4
8
16
8
8
16
10
2
4
0
0
0
0
10
10
8
8
9
8
36
8
0
0
0
8
8
8
8
8
8
8
1
19
19
0
0
16
8
8
12
4
2
2
2
16
16
16
16
16
16
16
0
8
4
1
8
8
8
6
6
8
8
8
8
0
8
8
4
4
16
16
8
8
2
2
4
4
0
4
20
0
0
0
8
8
16
16
16
4
4
4
4
4
0
8
0
0
2
8
8
24
24
0
8
8
8
8
8
36
8
8
18
4
0
4
12
8
1
1
1
6
0
0
0
8
16
4
1
1
1
1
1
8
18
8
8
0
24
0
0
8
0
0
0
0
0
0
0
0
3
3
0
0
16
16
0
0
0
0
4
0
0
8
16
8
1
1
0
8
0
0
0
2
2
0
17
17
8
16
16
28
4
16
16
16
16
2
1
16
24
24
24
24
0
16
8
1
0
0
0
16
16
16
8
8
12
0
1
0
8
0
8
8
8
23
4
1
2
2
8
8
8
6
2
2
2
16
16
16
2
26
2
16
1
1
1
1
0
0
8
8
8
8
8
0
0
16
0
0
24
50
16
16
16
16
16
16
0
4
4
4
8
8
0
8
16
0
0
20
0
0
37
0
8
16
0
0
8
8
0
22
36
0
0
6
8
28
8
8
8
0
1
8
0
0
0
0
0
4
8
8
8
8
5
5
0
0
0
18
0
8
8
1
1
16
16
16
0
0
24
24
16
38
4
4
20
20
0
0
0
0
6
6
0
8
16
2
2
0
0
0
0
0
24
16
4
4
30
30
30
30
16
16
16
25
12
16
2
0
0
0
8
4
16
16
0
0
0
16
1
8
24
24
24
24
24
24
8
16
8
25
24
24
8
8
0
1
4
4
0
0
0
0
0
5
8
16
9
2
0
0
0
0
4
5
25
16
16
0
0
20
4
13
8
8
8
8
0
20
0
0
0
28
16
16
8
8
8
16
16
0
0
0
4
1
1
16
0
0
0
33
8
8
0
0
0
4
16
2
8
0
0
8
0
0
16
0
2
2
2
0
8
0
8
8
8
8
8
8
16
16
16
0
25
8
0
8
1
8
0
0
4
8
8
8
0
18
18
0
16
8
8
8
8
0
0
0
1
1
1
0
0
2
16
8
1
1
1
1
1
1
1
0
0
16
16
16
3
16
0
0
0
4
4
4
4
4
12
2
28
0
8
16
0
0
0
8
4
16
16
16
0
0
16
16
16
0
0
16
16
0
0
0
0
0
8
8
8
12
12
16
16
0
8
0
0
16
24
8
0
2
2
8
8
8
8
8
0
1
0
0
0
0
2
0
0
0
6
6
0
2
16
8
0
0
0
0
2
2
2
20
0
0
0
0
0
0
0
0
19
8
8
8
8
8
8
8
8
0
0
16
16
8
0
0
8
24
0
28
8
8
8
8
8
8
8
8
8
8
20
22
2
0
4
8
0
8
8
8
0
0
8
0
0
12
12
8
8
8
0
0
0
0
0
0
0
0
0
8
4
0
0
8
0
0
0
0
16
16
0
0
0
0
8
0
0
0
0
0
0
0
0
42
42
8
8
8
1
16
16
16
0
4
4
0
8
17
17
8
8
8
1
41
41
1
2
32
32
24
2
0
0
8
8
24
8
8
8
8
8
16
16
0
0
1
1
1
6
6
8
8
8
0
0
0
0
0
33
17
8
1
16
16
0
8
8
2
2
8
8
16
36
36
4
4
4
4
10
2
8
8
8
0
0
0
20
20
20
8
0
16
20
0
0
17
24
0
0
16
16
19
24
6
6
4
4
4
0
8
8
8
16
16
8
0
24
8
32
0
0
0
0
0
0
0
0
1
8
48
48
8
8
16
0
4
0
8
0
16
16
16
2
8
0
0
0
0
0
0
0
0
24
0
0
17
0
8
8
8
1
1
8
0
0
8
1
0
8
1
16
4
0
8
8
20
20
24
37
24
24
8
8
8
0
0
8
4
4
4
8
8
0
0
8
0
0
0
0
8
8
2
2
0
2
16
0
1
1
8
0
0
0
0
0
8
8
8
8
0
0
0
0
16
0
0
8
0
0
16
16
16
0
0
8
0
0
0
0
0
12
4
1
1
1
0
4
5
4
12
1
0
0
0
8
0
0
0
0
0
8
32
8
0
0
16
8
1
1
1
1
0
0
0
8
8
8
40
40
8
8
8
4
4
4
0
0
8
27
27
27
27
27
27
20
28
0
0
0
16
0
0
8
0
0
20
6
8
8
0
0
0
0
0
0
8
8
0
6
0
4
0
0
0
0
4
4
0
8
8
8
0
0
0
16
0
0
0
0
0
0
0
16
16
16
16
16
0
8
8
8
8
8
16
16
16
16
16
4
8
8
8
32
16
16
16
1
1
0
28
28
0
1
0
8
0
4
8
8
0
48
17
1
1
1
16
24
24
8
16
48
0
4
1
16
16
10
8
0
1
0
0
1
1
2
2
2
2
2
2
2
2
2
2
2
2
2
8
16
16
0
0
0
8
4
4
0
0
0
4
0
0
0
4
0
4
4
0
0
0
0
2
8
8
0
0
0
1
1
0
0
0
8
24
8
4
0
2
8
0
0
1
1
8
8
5
5
5
5
16
16
16
8
0
16
16
4
8
16
8
0
8
8
8
0
8
8
16
0
8
16
0
0
2
2
2
0
0
2
8
8
8
17
17
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
16
4
0
8
0
0
0
0
16
8
8
0
0
0
0
0
16
0
16
16
8
8
8
8
8
8
8
0
0
0
0
0
0
8
8
8
0
2
34
2
0
0
0
0
8
4
8
8
0
0
0
0
4
2
1
1
1
0
8
8
0
8
16
16
0
0
8
0
49
49
49
8
16
16
8
8
16
8
0
0
0
1
8
0
12
8
8
0
0
16
16
16
8
8
8
8
2
4
19
4
2
2
0
8
17
32
36
0
16
48
0
0
8
0
0
0
4
0
0
0
8
16
16
16
16
1
8
8
8
0
0
0
16
8
0
2
4
4
4
8
8
8
8
8
8
8
0
0
19
19
19
16
16
2
0
16
16
11
0
0
8
2
8
8
0
8
8
8
8
16
16
18
16
2
2
2
2
2
8
8
0
0
0
4
20
16
8
8
0
0
0
16
16
16
16
16
8
8
16
16
17
17
8
8
8
8
8
0
0
16
16
8
8
8
8
0
16
16
16
16
16
0
16
16
16
0
8
8
8
8
8
8
8
4
4
16
24
25
24
16
8
8
8
0
0
0
0
0
21
21
21
16
16
16
16
16
8
1
1
1
1
1
1
1
1
1
1
1
24
8
8
24
24
24
0
0
1
1
1
46
6
0
20
0
0
0
0
0
1
32
0
56
8
0
0
1
1
0
4
8
8
0
16
0
0
16
0
0
26
0
16
16
16
16
8
0
8
0
0
0
8
16
16
0
1
32
32
32
0
0
0
32
0
0
0
0
0
16
8
20
8
16
16
16
1
0
8
8
16
8
8
8
0
0
0
8
8
4
0
1
16
0
2
0
0
4
0
4
0
22
22
2
0
0
0
2
0
4
4
32
0
8
0
8
8
8
0
0
0
0
0
0
0
0
0
16
16
0
0
0
8
15
8
8
32
8
8
0
0
0
4
8
8
2
0
0
2
8
0
1
4
8
8
16
4
4
1
1
0
0
0
0
0
4
4
0
0
8
16
16
0
0
4
8
8
4
0
8
8
8
8
8
0
0
2
2
2
1
8
20
8
8
8
0
8
0
24
0
16
16
16
0
0
16
0
0
0
0
0
16
16
20
16
0
0
0
0
0
12
12
17
8
8
0
0
0
8
8
8
8
16
0
17
8
8
0
16
16
1
0
1
25
0
0
0
0
0
8
8
0
8
8
8
8
8
8
0
1
1
8
4
0
2
32
32
32
0
4
8
0
8
0
8
8
8
0
0
0
4
0
16
8
8
8
4
0
0
0
0
0
32
0
4
4
8
20
20
8
8
0
0
8
8
8
2
50
2
0
0
4
0
0
35
1
4
4
0
16
0
16
24
8
8
0
0
0
0
16
0
0
12
12
12
16
0
8
8
8
8
8
16
16
16
16
16
16
0
8
8
0
0
0
2
2
0
0
16
17
58
8
1
0
0
16
0
0
16
0
2
0
0
8
8
8
0
1
0
0
8
8
0
8
8
16
4
1
1
0
0
1
8
8
8
16
8
8
0
16
16
16
16
16
20
4
4
24
8
8
8
8
0
0
0
0
16
8
16
0
8
8
8
8
2
0
8
8
25
13
13
16
18
0
0
0
0
8
16
2
2
8
8
8
0
0
2
1
1
1
4
0
0
0
0
16
16
8
8
0
0
0
24
8
8
2
24
24
8
16
16
0
8
4
8
8
8
8
0
0
0
16
9
9
0
16
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
4
4
0
0
0
0
2
0
16
0
0
10
16
16
8
8
0
0
0
1
0
2
16
0
0
0
0
0
0
0
0
8
8
8
0
0
2
8
4
4
16
0
0
32
16
16
16
12
4
0
24
57
16
16
0
0
0
16
17
16
12
0
0
8
0
4
4
32
8
8
8
0
4
4
0
9
2
2
0
0
3
3
3
1
1
0
0
13
7
7
1
0
4
4
4
4
4
0
20
20
8
0
4
4
0
0
12
12
0
32
32
16
0
0
2
2
4
4
8
0
16
0
4
10
2
6
6
6
0
0
0
16
0
16
16
17
16
0
4
2
8
0
16
16
16
8
0
0
0
0
0
4
4
4
0
0
0
25
25
28
0
0
8
8
8
24
24
0
8
1
1
0
8
8
8
8
8
24
0
0
0
9
9
0
4
8
8
16
0
0
2
8
8
8
8
0
16
12
2
2
0
8
0
8
8
0
0
2
8
8
4
8
8
0
8
8
24
24
0
0
0
4
0
24
24
24
18
18
18
0
24
16
16
1
1
0
0
16
16
5
0
0
0
8
0
0
16
16
20
6
6
0
0
0
0
0
16
1
8
0
16
16
16
16
0
8
8
4
12
1
1
8
8
2
2
2
16
16
8
8
8
0
0
8
0
0
16
16
0
0
0
0
0
0
0
0
24
24
4
8
16
16
16
0
16
8
0
0
8
8
16
16
0
8
8
2
2
2
0
2
8
8
20
3
3
8
0
0
8
8
16
0
0
8
42
0
0
2
2
0
0
2
2
8
2
0
0
0
0
0
8
0
0
0
0
0
8
8
0
0
0
0
0
4
16
8
8
0
0
8
8
8
16
24
16
0
2
2
2
8
1
8
8
8
8
8
2
2
2
0
0
0
1
1
8
8
12
0
16
16
48
8
0
8
8
56
60
56
8
0
0
8
2
2
0
17
0
0
0
0
0
0
8
2
2
2
56
8
8
8
8
4
4
8
8
0
0
8
8
8
8
0
1
1
16
16
8
8
1
0
0
0
32
32
0
0
0
1
17
0
0
8
0
0
8
8
0
0
8
12
4
8
0
28
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
16
16
4
16
0
0
0
2
2
28
0
16
0
8
8
8
8
8
8
8
8
12
0
0
0
8
0
0
0
0
16
16
4
8
0
16
16
0
0
16
16
8
4
4
8
8
8
0
8
32
32
32
0
0
0
8
8
8
8
8
8
0
8
8
0
16
8
8
8
16
2
8
8
8
0
0
0
8
8
8
8
20
20
0
20
20
20
8
24
8
8
8
8
8
12
0
0
16
8
1
1
1
0
0
0
0
0
8
8
8
1
1
0
0
0
0
0
16
16
8
0
2
2
32
0
20
0
32
0
0
0
8
8
8
8
8
8
8
8
8
0
16
0
0
0
8
8
24
24
0
0
0
0
0
8
28
28
0
0
4
0
0
16
8
8
8
8
8
8
24
0
0
8
2
1
1
1
1
0
0
0
0
1
1
0
0
1
0
32
32
32
8
8
0
0
0
1
1
0
0
0
8
8
18
0
8
0
0
0
0
0
9
1
1
4
8
8
8
0
0
0
0
16
8
0
16
4
4
0
6
8
8
8
0
8
4
4
8
8
8
5
1
8
0
0
0
8
0
1
1
0
16
8
8
8
8
0
8
8
8
8
8
0
16
2
10
31
0
0
8
8
8
1
16
14
14
25
4
6
6
8
8
8
12
8
0
0
4
13
13
1
1
1
1
1
16
8
8
8
0
0
24
12
8
16
16
16
16
2
2
2
2
16
16
24
0
4
8
8
8
8
1
0
8
8
0
0
0
24
24
0
1
8
8
8
0
0
0
16
24
16
0
8
8
8
0
0
0
8
0
0
0
8
8
8
8
8
8
8
8
0
0
0
0
0
16
0
16
16
8
0
0
0
8
16
2
0
0
4
4
4
1
1
1
1
8
8
8
0
2
2
2
24
4
4
24
24
24
24
24
0
8
8
8
8
16
16
16
8
8
8
17
0
0
0
0
16
16
1
1
0
0
8
8
0
0
0
8
0
8
8
8
0
0
0
0
8
0
0
8
0
0
4
0
16
0
0
0
8
0
2
2
2
16
16
1
1
1
0
0
0
0
2
8
24
8
8
8
2
2
2
16
16
0
6
6
8
8
16
16
0
24
0
0
16
16
16
0
0
4
4
4
4
4
0
32
8
16
16
0
0
0
16
16
0
18
0
8
0
2
0
0
0
8
8
8
0
0
0
0
0
4
0
0
0
16
0
17
16
8
16
16
0
0
0
8
8
8
8
0
0
13
13
16
16
20
8
8
16
4
4
8
8
8
8
8
1
1
1
4
4
4
4
4
4
16
6
6
0
0
0
1
1
1
1
1
10
0
12
8
0
16
8
8
8
8
4
8
0
0
0
63
2
2
2
0
6
1
0
2
24
24
16
16
4
4
4
0
0
0
5
5
5
8
0
0
16
16
16
0
1
0
0
0
0
0
0
16
0
2
0
0
0
0
8
20
20
20
0
8
0
0
0
8
0
8
0
8
24
24
8
48
48
1
1
1
8
1
0
24
24
8
24
24
8
16
8
24
0
0
24
0
0
0
0
8
8
8
4
16
0
0
0
8
8
8
0
9
2
8
0
20
4
4
0
0
2
24
24
0
0
0
8
8
8
8
0
8
16
24
8
8
8
8
8
8
2
2
0
21
0
8
8
0
8
8
16
16
0
16
2
2
2
8
8
0
0
0
0
0
16
16
16
0
1
16
0
0
24
20
12
12
0
0
0
1
25
8
0
0
4
8
2
2
2
16
16
16
16
8
8
0
0
8
8
0
0
8
8
8
8
8
0
0
16
8
0
0
0
16
8
8
0
2
0
4
8
24
8
24
0
2
2
0
16
16
16
0
0
0
8
8
8
16
9
9
9
9
16
16
0
0
0
16
16
16
0
0
4
4
0
0
0
0
0
16
0
12
12
12
12
0
0
0
0
0
16
16
16
22
16
4
1
1
1
0
0
0
0
0
0
0
8
8
0
0
0
8
8
0
0
0
4
28
28
4
17
17
1
8
8
8
8
8
8
0
0
0
8
8
8
8
8
8
8
56
16
0
0
0
0
16
26
26
0
0
0
0
0
0
0
0
0
32
16
32
0
0
2
2
0
62
2
4
2
2
8
8
8
0
16
16
4
4
4
4
18
8
0
0
16
8
8
0
0
0
24
20
0
16
8
0
0
0
0
0
0
0
8
0
0
0
0
37
4
4
4
4
4
4
4
16
32
0
1
1
1
1
24
16
16
16
24
16
0
8
8
2
0
0
0
0
32
0
0
0
0
0
1
0
8
1
1
1
1
8
16
16
16
16
0
0
0
16
8
8
8
0
0
0
1
0
0
23
23
16
8
0
8
8
8
8
16
4
8
8
8
0
0
0
56
0
0
0
0
0
0
8
0
8
8
0
9
4
16
16
4
0
0
0
8
0
0
8
5
0
16
8
0
4
4
0
0
8
8
0
0
32
0
0
0
8
8
8
8
8
4
0
0
0
0
8
16
9
9
16
0
20
20
0
17
17
17
2
2
1
0
0
16
16
8
8
8
0
0
8
5
32
32
0
0
4
0
8
8
0
0
0
20
8
8
4
16
1
0
0
0
0
4
0
24
0
4
16
0
8
8
0
0
0
0
4
4
8
0
1
8
16
4
0
8
8
8
8
8
5
16
16
8
1
16
16
0
0
0
0
8
0
2
16
16
4
4
0
16
16
0
0
0
0
0
0
0
0
16
16
8
0
8
8
8
8
16
16
0
16
0
0
16
0
0
0
0
0
4
4
10
6
2
0
0
0
0
0
0
0
0
20
2
20
2
0
0
0
0
2
2
16
16
16
4
16
2
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
24
24
8
8
12
8
8
0
0
1
8
0
0
0
2
2
2
2
0
4
8
16
0
16
16
0
4
4
4
4
8
8
8
8
8
0
0
0
32
32
32
5
4
12
8
8
8
4
4
4
4
4
16
8
16
8
8
16
16
16
16
16
24
8
8
0
20
0
8
8
0
8
8
8
0
8
8
8
8
8
8
8
0
4
16
8
8
0
0
16
8
0
16
0
0
0
0
8
8
8
8
8
0
0
3
16
4
4
4
4
24
24
24
24
24
0
0
0
9
2
2
2
2
2
2
0
0
8
0
0
0
0
16
0
8
1
1
0
8
8
0
8
8
1
16
8
8
4
4
0
16
0
0
0
18
8
8
8
0
8
4
4
16
11
0
1
0
4
0
8
0
8
8
8
8
0
0
2
2
2
2
0
4
0
0
0
0
0
0
0
0
0
8
8
8
4
34
2
16
8
8
8
8
0
0
0
0
16
16
8
8
8
0
8
0
8
8
0
0
0
8
8
0
0
0
22
56
21
1
16
16
16
16
32
8
0
0
8
8
0
0
0
0
0
0
4
8
8
0
8
8
0
0
1
0
2
2
0
0
0
0
16
16
0
16
16
12
2
2
2
2
8
0
2
8
8
8
8
0
4
8
26
1
1
0
0
0
8
8
8
1
1
0
8
0
0
0
0
0
0
22
20
20
16
17
0
16
0
0
8
8
8
16
0
4
4
8
0
8
8
0
4
4
0
2
10
0
4
2
2
2
0
8
24
24
16
32
32
32
32
32
0
16
2
2
2
8
0
8
8
8
0
0
8
8
4
0
0
12
8
8
8
16
8
20
8
8
16
10
10
10
10
10
16
32
8
8
8
8
8
20
24
25
9
1
2
2
8
0
0
16
0
26
26
16
2
16
0
0
20
8
2
6
2
24
26
24
24
2
2
0
8
12
0
32
0
0
16
0
24
24
0
6
16
8
0
4
17
17
8
16
16
16
0
8
8
8
8
4
16
16
4
20
0
8
8
8
0
8
8
1
8
0
16
1
4
8
16
8
17
0
0
0
0
8
16
16
8
8
4
9
9
16
12
8
0
0
24
24
8
16
24
16
0
0
8
0
8
8
8
4
4
4
16
16
16
20
8
8
12
16
2
2
2
16
16
4
16
16
16
8
0
8
24
16
0
0
0
1
4
4
0
0
0
0
2
2
8
1
1
0
8
8
0
0
0
0
0
0
0
8
24
16
4
24
8
16
20
1
16
2
12
12
0
24
0
16
0
0
2
2
0
0
16
0
0
0
8
0
0
48
48
12
5
0
16
2
18
8
0
0
0
8
0
0
0
16
16
4
4
0
8
1
16
8
8
1
1
4
4
4
8
8
8
8
8
8
8
2
0
17
0
0
8
0
0
0
8
9
16
16
0
8
8
8
0
0
1
8
0
0
5
0
12
0
0
1
8
0
20
20
16
0
8
2
0
0
2
4
4
1
8
8
8
4
4
0
0
0
0
16
16
0
0
0
0
13
4
4
4
32
32
49
49
0
4
0
8
8
8
8
0
0
0
0
0
0
1
0
0
0
0
8
16
20
0
0
8
25
3
0
16
1
1
8
8
0
0
16
16
16
2
16
16
4
0
0
0
0
0
0
24
8
8
0
0
0
8
8
0
0
0
16
16
16
0
4
4
0
3
8
16
8
8
8
8
8
0
0
36
0
8
8
8
24
4
8
8
0
4
4
4
4
16
8
0
8
0
0
8
8
8
0
0
8
8
8
8
12
0
0
2
16
16
0
30
30
8
2
0
8
4
1
0
0
0
1
8
0
16
16
0
1
0
0
16
0
4
16
16
0
0
0
8
0
4
6
1
0
8
8
21
0
0
0
0
0
0
1
1
16
8
8
18
18
8
1
0
0
0
0
0
2
2
0
4
0
0
0
0
8
8
0
20
2
0
0
0
4
16
0
0
0
8
0
8
8
8
8
8
8
18
18
16
16
0
8
8
8
8
8
8
8
0
0
8
8
4
8
8
0
8
8
8
18
18
8
0
16
18
1
1
0
0
0
2
2
2
2
2
2
0
24
0
0
8
8
8
8
8
0
8
8
8
8
8
8
5
2
5
8
8
0
8
8
0
0
8
8
8
4
0
8
24
24
16
16
8
20
4
4
4
16
16
0
0
8
8
0
4
4
16
48
0
0
10
10
0
9
9
2
8
0
0
0
16
24
8
0
0
0
2
2
8
0
0
4
20
20
8
8
8
0
20
2
2
8
52
8
8
0
8
48
16
57
16
16
0
1
1
1
1
1
24
16
8
20
4
0
24
8
8
16
8
0
0
0
8
8
8
8
0
0
0
0
8
0
0
24
16
8
16
16
8
8
0
20
10
2
8
16
0
17
12
2
2
2
3
8
16
8
0
8
12
4
12
0
24
0
8
0
0
8
0
0
4
8
8
16
4
16
16
0
8
8
8
0
0
0
0
0
0
0
0
16
16
16
16
16
4
0
0
4
16
0
0
0
0
0
0
16
0
0
0
0
0
0
4
4
0
0
1
1
1
1
1
0
0
8
12
1
0
16
8
8
8
0
0
0
0
0
16
16
4
0
8
1
1
25
25
25
16
0
0
0
8
0
32
2
2
0
0
4
4
4
0
0
8
8
8
0
1
8
8
8
8
8
8
8
8
0
0
0
2
16
16
4
0
8
8
0
0
8
8
8
8
8
0
0
0
8
8
8
8
0
4
20
0
0
0
34
0
0
4
8
56
1
4
0
0
2
9
0
8
8
4
8
0
0
16
8
16
0
0
0
16
8
4
4
4
0
0
0
0
16
16
16
0
0
0
0
0
0
8
0
0
8
0
8
2
0
0
2
2
16
16
2
8
8
0
0
0
4
4
0
0
2
16
16
4
0
0
5
8
8
8
8
4
8
8
0
40
0
2
2
8
8
8
16
24
0
0
8
8
8
24
9
17
0
8
0
0
8
0
0
2
0
0
8
0
16
0
2
8
8
8
8
8
8
8
0
0
8
0
0
2
4
0
4
4
0
0
8
8
8
8
0
0
14
14
17
0
8
8
0
0
0
0
8
8
8
0
8
8
8
8
8
8
8
0
4
4
12
16
16
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
4
8
0
0
0
0
0
0
0
8
0
8
8
8
8
16
20
0
16
2
0
0
4
0
0
0
8
8
8
0
16
16
18
0
0
8
0
16
0
0
0
12
0
8
4
4
8
8
8
8
8
8
0
4
4
4
8
0
8
8
1
4
2
8
8
16
0
0
56
56
56
16
0
0
17
17
4
4
0
8
8
0
8
8
8
8
8
8
0
2
2
16
16
16
0
0
0
0
0
0
0
8
12
0
0
8
8
16
0
8
8
0
8
8
0
4
4
4
0
8
0
32
32
32
0
0
0
2
2
18
2
2
2
16
4
0
8
8
8
8
8
8
8
8
48
28
28
2
16
16
16
16
16
16
16
0
0
0
0
0
0
0
4
4
4
0
8
0
0
0
8
8
0
24
24
32
32
12
16
16
16
16
16
11
11
20
16
8
26
0
2
0
8
8
8
26
8
20
20
0
0
0
16
0
0
0
8
1
16
20
0
0
18
4
4
0
16
16
48
4
8
8
8
8
0
48
48
4
4
4
4
4
8
2
2
2
2
16
16
16
0
0
0
0
0
26
0
4
4
4
8
8
8
0
10
16
0
0
2
2
2
8
16
0
4
20
8
16
16
24
4
4
0
17
1
16
8
8
16
8
0
8
1
8
0
0
0
0
16
0
0
0
2
2
2
0
16
16
0
0
2
0
0
1
0
10
10
10
10
0
16
16
0
2
40
40
21
20
4
4
8
8
41
41
0
2
2
2
2
1
1
0
0
0
0
0
4
4
8
8
8
0
0
0
4
4
4
4
0
0
16
1
1
8
0
8
0
8
16
2
0
8
1
1
1
8
20
0
0
8
8
8
16
0
1
8
8
8
24
24
8
8
8
0
0
0
8
16
8
8
8
22
16
16
8
16
8
0
0
0
2
8
8
16
0
16
16
0
0
0
0
16
16
0
0
0
0
0
8
24
0
0
0
0
16
0
20
16
20
0
32
48
32
16
16
16
16
16
4
2
2
24
0
24
24
8
8
4
4
0
20
8
8
8
16
16
16
16
16
4
8
8
0
4
0
1
1
0
8
1
1
8
6
0
0
8
4
8
0
32
32
0
2
16
0
16
8
8
0
1
0
0
8
0
0
24
24
24
8
1
1
16
16
16
16
1
3
2
2
18
8
8
16
16
8
8
8
8
16
16
8
1
1
0
16
8
8
8
8
0
0
16
0
0
0
0
26
8
8
16
16
8
8
8
0
0
8
8
8
0
29
29
8
0
8
8
8
8
8
8
0
0
0
4
4
4
16
16
16
0
0
0
18
8
0
16
0
0
0
0
8
0
0
0
16
16
0
0
0
0
8
8
8
8
0
0
0
2
2
0
16
1
0
0
0
0
8
0
0
0
8
0
24
0
8
0
0
0
8
0
0
4
8
8
8
6
0
0
0
0
0
4
4
8
12
12
0
0
0
1
0
2
0
0
8
8
8
8
8
8
0
0
0
0
0
21
8
8
0
4
4
4
8
5
4
4
4
32
8
8
0
0
0
0
4
4
4
12
16
0
0
0
0
4
0
1
8
0
4
12
12
12
8
8
0
8
8
8
8
8
8
8
8
6
6
8
8
0
0
0
0
4
16
0
0
0
20
16
8
16
16
0
0
0
16
0
32
32
9
9
8
0
0
0
2
2
1
1
0
2
8
8
0
0
0
8
24
8
8
8
8
8
8
0
8
0
0
0
0
37
37
37
0
0
0
8
24
16
20
20
0
0
4
4
17
1
8
8
8
0
0
0
0
4
4
0
18
2
16
20
16
16
17
8
8
0
24
0
0
8
2
0
0
8
8
0
0
0
8
8
0
0
0
8
0
2
2
2
0
0
25
0
0
0
8
8
8
8
8
16
0
0
0
8
8
24
1
0
4
0
8
8
0
0
0
16
16
8
8
8
2
0
0
0
8
8
8
16
0
0
0
8
0
8
8
8
8
8
0
16
0
3
3
0
0
0
0
0
0
0
0
8
8
8
0
0
17
0
0
0
0
0
32
0
4
4
8
8
8
0
0
8
0
8
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
32
0
4
8
8
0
0
0
0
0
0
0
0
0
4
0
0
8
17
1
1
16
16
0
0
8
8
8
8
0
0
0
9
9
0
16
16
4
8
4
8
8
16
16
0
8
24
8
4
0
0
0
0
16
16
20
20
20
16
9
16
16
0
8
0
0
16
16
1
3
8
8
8
0
8
8
0
0
0
0
28
28
28
0
16
8
2
2
8
8
8
4
4
4
4
8
4
18
0
0
24
8
6
2
4
0
16
16
16
0
0
32
0
0
0
8
12
0
16
8
0
0
46
8
0
0
0
8
0
0
0
16
0
0
0
0
0
16
16
16
16
16
16
0
0
0
2
8
8
32
16
0
8
0
0
0
0
0
40
40
32
32
1
1
1
1
1
1
1
1
1
1
1
1
24
16
16
2
2
17
16
16
16
58
0
0
0
6
6
6
6
8
8
1
1
1
8
8
12
4
8
0
0
16
16
16
2
16
0
0
0
0
0
14
0
16
16
2
0
0
0
0
2
0
0
0
8
16
8
0
28
28
0
0
0
18
18
1
0
8
0
16
16
0
1
16
9
8
8
16
8
0
0
0
24
24
2
8
12
16
16
0
16
8
8
0
0
8
4
32
0
0
8
8
4
0
0
8
8
0
0
16
16
16
13
1
1
4
16
4
0
16
16
16
0
0
1
16
16
16
24
24
24
0
0
0
0
8
8
8
4
0
0
8
2
2
8
24
16
16
0
0
0
8
8
8
16
16
16
16
17
8
0
0
0
0
0
0
8
0
0
0
0
8
0
0
0
8
4
4
4
0
8
0
0
0
0
4
24
2
0
0
0
16
16
0
1
1
1
1
1
1
1
1
1
0
8
16
0
0
4
29
29
29
29
29
29
29
0
0
0
0
8
1
1
0
8
28
8
0
0
0
0
32
32
32
0
0
0
0
0
0
0
0
16
24
2
16
24
0
0
4
4
8
8
0
8
0
0
0
0
16
16
0
4
4
8
8
8
8
0
0
8
1
8
29
29
0
0
0
2
2
2
24
24
24
24
24
24
8
8
0
0
0
0
16
8
43
8
1
0
2
16
16
16
0
0
2
0
0
0
0
0
18
1
18
18
0
0
0
8
0
0
16
16
8
1
8
0
32
32
0
0
0
0
0
0
0
0
0
1
16
16
16
16
32
4
4
8
8
0
0
0
16
16
8
8
4
4
5
5
0
0
1
0
8
2
2
0
4
16
16
9
0
16
16
16
2
2
1
1
0
6
0
0
0
16
32
32
4
4
12
32
32
0
17
0
0
24
16
16
0
16
16
0
0
6
6
0
16
0
8
8
32
32
0
0
0
0
0
32
0
0
0
1
8
0
0
8
8
0
0
0
2
0
0
0
57
57
57
1
0
0
8
16
4
0
8
0
0
0
16
16
4
4
0
0
29
29
29
29
29
16
0
0
0
4
0
0
16
16
0
0
0
0
16
16
0
0
0
0
8
8
8
8
8
8
0
0
0
0
0
0
8
8
0
0
1
0
0
16
16
0
0
0
8
8
8
0
8
0
24
8
0
18
18
18
18
16
0
0
0
8
8
16
0
4
0
0
0
0
0
0
8
8
8
16
16
16
8
8
0
0
0
0
24
0
0
0
8
8
0
0
8
4
16
4
4
4
24
8
4
1
9
25
9
0
4
8
8
4
8
0
0
8
59
0
0
8
8
0
0
0
0
16
16
4
0
0
0
0
0
0
0
0
0
0
8
8
16
16
0
0
8
8
0
0
28
0
4
4
4
4
0
0
0
24
24
8
0
24
57
57
57
57
1
5
5
0
0
10
10
9
0
16
7
0
0
0
0
5
0
8
12
0
0
8
4
4
16
49
54
0
0
8
2
2
0
8
1
8
0
16
0
0
16
18
18
18
18
27
8
0
16
16
16
0
1
1
8
8
8
4
4
4
4
4
16
52
48
4
0
42
8
12
20
20
0
0
0
16
0
0
0
0
8
0
0
0
4
4
2
16
16
16
0
0
20
8
8
8
8
4
4
8
0
8
16
16
8
1
1
1
1
1
29
4
4
8
0
8
8
8
8
6
6
0
8
8
8
0
0
16
0
0
0
8
8
8
0
8
24
8
0
8
0
0
0
2
2
16
0
12
0
0
0
0
0
0
0
0
24
16
16
16
16
0
0
0
0
0
0
16
16
0
0
0
0
0
1
0
0
0
16
0
0
62
24
24
24
24
0
16
8
8
8
2
0
0
0
0
0
0
0
8
8
8
1
1
1
20
0
0
0
4
4
0
0
8
8
16
0
1
2
2
8
8
0
0
16
16
8
16
8
8
8
0
24
8
8
0
16
0
17
0
17
48
16
16
8
8
0
0
4
0
8
0
21
8
0
0
40
0
0
0
4
4
8
8
0
8
0
16
4
8
10
10
0
0
18
18
16
32
32
0
8
4
8
8
0
0
0
0
0
0
8
8
0
0
0
8
8
8
54
54
16
16
16
16
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
8
8
2
8
0
8
0
0
0
16
16
20
17
16
8
0
0
17
17
17
0
0
0
0
0
0
16
4
1
1
16
16
0
0
20
20
8
4
0
8
0
0
0
0
2
2
0
24
24
16
16
2
8
0
8
16
8
0
0
0
0
0
1
0
0
0
0
0
0
0
8
8
0
16
16
16
16
16
16
0
20
20
16
0
20
0
0
0
0
0
0
1
49
0
0
4
1
1
1
0
0
0
0
0
0
0
0
0
0
8
10
24
28
8
8
16
4
0
0
4
8
8
8
4
21
8
48
8
56
8
16
0
16
4
4
16
4
4
4
4
24
8
8
0
0
1
0
8
8
0
0
4
4
1
1
0
0
0
16
16
8
8
0
4
4
4
0
0
1
0
8
8
8
8
16
0
0
8
8
16
16
0
0
8
0
16
20
4
0
16
16
8
0
0
0
16
0
16
16
8
8
8
4
8
8
6
0
0
16
16
16
16
0
4
4
16
0
0
0
0
16
4
0
0
16
1
0
0
0
16
8
0
19
19
0
0
0
0
0
0
0
18
16
16
16
16
16
0
8
8
8
8
0
8
8
8
8
8
8
16
16
0
0
16
4
4
16
16
16
0
1
1
1
16
16
1
0
0
0
0
4
8
8
8
8
0
0
4
0
0
0
16
0
0
0
0
4
0
0
0
0
1
24
24
24
18
2
0
0
0
0
0
0
8
8
0
0
16
8
16
48
24
24
2
2
6
6
6
0
0
0
1
8
8
8
4
4
0
8
8
8
0
0
0
0
0
0
16
16
8
24
16
8
8
8
0
0
0
0
24
8
0
4
4
16
16
0
8
0
0
12
2
2
2
2
2
8
8
8
0
0
8
8
0
0
20
20
0
8
16
16
16
13
16
0
8
0
8
8
14
0
16
16
16
16
16
16
16
0
0
0
0
8
0
0
0
0
5
5
0
0
16
16
16
0
0
38
16
8
0
0
0
0
2
6
2
2
0
16
16
8
8
0
0
16
0
0
16
16
48
48
0
0
0
0
8
2
32
16
32
0
0
16
0
0
1
1
0
0
0
16
16
8
8
1
8
8
0
0
0
0
0
0
0
4
0
0
0
0
26
26
0
0
0
0
16
16
16
0
0
0
0
0
0
0
16
0
0
16
24
8
8
2
2
0
0
8
24
8
8
8
0
4
20
4
0
0
0
0
0
0
0
0
0
8
8
22
22
16
0
0
8
8
24
0
0
0
0
0
8
0
16
16
0
0
0
2
4
4
8
8
8
8
8
8
0
0
0
2
8
0
0
8
0
0
16
4
1
12
16
36
36
24
8
8
2
0
52
1
1
8
0
0
1
18
8
8
8
0
0
16
0
16
16
16
6
16
8
8
24
16
0
8
9
8
8
1
0
8
8
32
0
0
0
0
8
0
0
0
0
19
1
1
0
0
0
26
0
2
0
0
0
0
1
0
0
0
4
8
0
0
0
0
0
0
48
48
0
1
16
0
0
1
0
16
0
8
8
0
0
0
0
0
48
16
1
0
0
0
8
8
0
8
24
8
0
0
0
16
16
16
0
0
0
2
8
8
8
8
8
8
8
0
0
0
0
16
16
8
8
8
16
0
16
8
0
0
0
8
1
0
0
16
16
20
0
8
0
0
4
24
16
8
4
8
8
8
8
8
8
8
0
0
0
0
56
56
16
0
8
16
2
8
0
0
0
0
8
0
8
0
0
0
0
0
0
0
8
8
8
52
52
0
0
4
4
16
0
0
16
16
16
0
0
10
0
0
0
0
0
16
1
16
0
0
0
0
1
1
8
8
32
16
4
0
1
4
4
4
2
0
16
16
16
16
16
16
16
16
8
0
8
2
2
16
8
0
0
2
1
0
16
0
0
0
0
0
0
0
0
0
0
16
4
4
4
4
4
4
4
5
4
0
28
16
0
0
16
16
16
0
0
0
0
0
0
0
24
24
0
8
8
0
0
24
0
4
0
16
8
0
0
16
0
8
17
16
16
16
1
1
1
16
1
0
8
20
16
0
0
4
0
0
0
0
8
16
16
0
0
0
0
0
0
0
8
0
8
4
8
8
33
33
33
0
0
0
16
16
16
16
0
0
8
8
8
8
8
16
16
25
25
25
0
34
0
0
0
25
8
17
16
0
16
0
16
16
16
8
0
0
8
0
16
8
8
8
0
0
0
8
8
16
4
4
0
0
0
0
16
16
2
0
16
16
0
0
8
24
24
24
24
24
24
16
4
0
0
8
9
0
0
0
0
1
8
8
0
8
8
24
4
0
0
2
0
0
0
12
21
8
16
0
0
0
8
8
8
8
16
16
16
16
16
16
0
0
8
8
0
4
1
1
0
16
16
16
16
0
0
0
0
0
8
8
8
8
8
8
8
8
8
0
0
0
0
4
0
0
1
0
16
16
8
8
0
0
2
2
16
16
16
0
0
2
0
0
0
8
0
8
1
8
8
0
0
0
1
0
0
0
8
0
0
0
0
0
0
10
31
8
4
0
8
8
8
0
0
0
8
8
8
0
16
26
1
1
1
0
4
0
16
0
8
8
32
32
8
0
0
0
8
24
9
0
0
8
0
16
0
2
0
8
4
8
0
16
24
0
16
0
0
16
8
8
2
2
0
0
16
0
28
16
0
0
0
0
0
0
0
0
4
12
18
0
0
0
0
16
16
16
4
22
4
0
8
8
16
0
8
8
8
4
6
4
4
16
8
8
17
8
24
24
1
0
8
8
12
0
8
8
16
8
8
8
8
8
20
0
8
8
8
0
16
0
0
0
0
0
0
0
0
8
8
8
8
8
8
0
0
0
8
8
8
16
16
16
0
0
0
0
8
8
0
0
0
0
0
0
1
1
16
16
8
8
8
8
8
0
60
0
0
16
16
8
0
0
0
1
1
1
16
17
0
1
1
16
2
0
8
8
8
16
16
17
16
16
16
0
1
1
0
0
0
16
16
24
24
24
24
2
2
2
2
0
0
0
8
8
8
8
16
0
32
8
0
28
0
0
0
0
0
0
8
0
0
0
16
16
16
16
16
0
0
0
4
12
2
2
2
2
16
24
1
4
1
4
8
2
3
0
0
0
1
1
5
1
1
1
0
8
8
4
6
6
8
0
4
4
16
8
0
0
0
8
8
0
0
0
0
0
0
0
16
4
4
0
0
0
0
0
0
37
24
16
1
0
8
2
2
2
2
2
2
2
8
1
0
4
16
16
2
0
8
8
8
0
0
0
0
8
0
0
0
0
0
0
0
0
18
8
16
16
0
8
0
0
24
0
0
16
0
0
8
0
0
0
0
8
8
8
8
0
0
0
8
22
0
0
2
2
2
2
0
1
4
4
4
1
16
16
1
0
6
8
8
18
18
18
0
8
0
0
0
0
0
0
0
8
0
0
0
0
2
2
16
0
0
0
0
24
8
16
8
0
0
0
8
0
1
1
0
0
0
0
1
16
0
0
3
0
28
16
0
0
0
10
0
0
1
1
54
0
0
0
0
4
4
4
0
0
0
0
0
0
8
8
8
8
0
0
8
0
0
0
0
0
0
4
0
0
20
20
0
0
8
8
8
2
8
4
0
18
18
0
0
8
8
0
0
0
0
8
0
24
16
16
0
0
4
24
16
0
0
12
17
8
8
4
4
0
2
8
8
0
0
0
8
16
16
0
0
0
8
0
0
0
1
8
0
24
16
16
4
4
4
4
12
4
0
0
0
16
0
0
0
0
22
22
22
22
8
0
16
0
0
8
8
8
8
8
16
16
0
0
0
8
1
8
8
0
0
16
22
0
30
30
16
16
16
8
8
8
0
4
0
0
0
0
16
0
16
0
2
2
0
0
16
1
4
1
0
0
8
8
8
8
8
16
2
2
0
8
16
0
0
2
16
8
18
0
0
6
6
0
0
0
0
0
8
0
1
1
1
0
0
0
9
4
0
0
0
0
0
36
16
16
0
8
4
0
0
16
8
8
8
0
0
0
0
2
2
8
8
8
8
16
16
48
8
8
0
0
0
12
8
8
8
8
0
0
1
16
2
0
0
4
8
0
0
19
19
4
16
16
16
2
2
2
2
0
0
8
8
8
8
0
0
16
0
0
0
9
9
0
0
0
8
16
16
1
16
0
0
1
1
0
8
8
8
16
16
36
8
0
2
2
2
0
0
8
8
8
0
8
8
0
0
0
0
6
6
0
0
24
4
8
8
0
28
0
0
0
0
0
0
24
0
0
0
0
0
1
24
0
0
0
0
4
1
1
0
0
0
0
2
8
8
8
20
20
20
20
0
1
1
0
0
0
0
8
8
0
0
8
0
0
4
0
0
0
0
0
0
0
0
2
2
0
0
2
2
0
0
16
0
0
0
0
0
0
0
16
16
2
0
0
0
0
4
0
0
0
0
0
8
8
8
8
8
8
8
0
16
36
20
0
0
0
0
0
24
8
0
34
8
8
0
8
8
8
2
8
8
8
0
4
28
8
0
16
24
8
8
8
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
16
16
0
0
0
0
0
8
8
8
0
2
8
0
0
4
0
8
2
2
0
0
0
8
8
16
8
8
0
8
8
4
4
16
0
0
0
0
0
8
0
16
0
1
1
0
0
2
2
2
16
16
24
2
8
16
16
0
0
0
16
16
8
4
4
16
0
0
0
0
17
17
8
0
0
0
8
0
8
8
1
0
0
16
6
6
16
16
8
8
5
16
16
16
0
8
0
0
8
8
8
8
16
16
0
0
0
0
0
8
0
16
0
24
8
8
0
0
16
16
0
0
24
8
3
4
0
60
34
4
0
16
18
0
0
8
4
4
8
0
0
0
0
0
0
0
4
2
2
0
0
4
4
4
0
0
2
2
2
8
0
16
8
0
0
0
6
6
6
0
0
0
0
4
4
4
0
0
0
0
0
0
0
0
0
23
4
0
8
8
16
0
0
0
12
12
0
0
16
1
0
0
1
1
0
0
0
0
0
16
0
0
17
8
2
2
2
2
2
0
8
8
8
0
0
3
3
0
0
0
8
0
0
16
16
0
12
1
1
1
0
1
18
2
2
16
29
29
29
29
29
29
29
29
8
12
1
0
0
0
0
0
0
0
1
8
0
0
0
0
0
44
24
48
0
0
2
0
0
0
16
0
4
4
8
8
8
0
0
0
17
17
4
0
0
0
0
0
0
0
0
0
0
2
16
0
0
8
0
1
6
30
30
24
24
0
8
8
8
8
0
0
16
0
0
9
4
16
8
8
8
4
4
9
8
8
8
0
0
0
9
0
0
0
0
8
8
8
8
0
0
0
7
0
8
8
8
9
16
0
0
0
0
0
4
4
12
0
0
0
0
0
0
0
2
8
0
0
0
0
0
0
0
0
0
16
16
16
8
0
0
0
0
2
0
0
0
0
8
0
0
33
32
32
32
32
16
0
0
8
2
2
8
24
3
3
0
32
32
32
32
32
4
16
0
0
0
27
0
0
0
4
0
0
8
8
0
2
25
17
0
2
8
8
0
0
16
56
0
0
8
8
8
8
0
9
0
0
2
2
2
0
0
20
24
0
20
8
8
8
32
0
0
0
0
9
16
0
1
1
0
0
4
0
0
17
8
8
8
24
8
28
4
0
0
0
8
0
4
4
4
8
8
8
8
4
24
0
0
8
0
8
0
0
8
0
0
16
16
0
0
0
0
0
8
0
18
18
0
16
0
1
1
8
8
9
4
8
2
0
8
0
0
0
0
16
0
24
24
0
0
16
0
0
0
0
16
0
10
10
10
0
0
0
0
16
0
0
8
0
0
16
0
0
16
0
0
0
9
16
16
16
16
16
2
0
0
8
0
6
6
6
0
8
0
0
0
0
16
2
4
0
16
16
16
16
8
8
0
0
0
0
0
0
4
0
0
9
0
0
0
0
0
8
18
8
0
0
0
0
0
0
1
0
24
16
16
0
8
8
0
8
8
0
0
18
8
4
0
0
0
20
0
0
0
0
24
8
0
3
8
8
24
24
24
0
0
1
1
0
0
0
0
0
0
0
24
24
25
8
8
8
16
0
8
24
16
10
16
16
8
8
8
8
0
0
0
33
0
0
0
16
16
0
0
0
0
0
22
0
0
0
0
16
16
1
1
10
16
2
0
0
0
0
0
0
4
8
20
20
8
16
0
0
0
16
16
16
8
0
8
8
0
0
8
4
4
16
16
0
1
1
1
8
8
0
16
16
0
18
0
8
8
0
16
16
0
0
16
16
24
16
16
16
16
16
16
16
24
0
0
0
0
2
0
0
0
0
8
0
2
2
0
8
0
16
16
6
12
4
4
2
16
16
16
8
8
8
20
16
16
0
0
0
0
16
0
4
4
0
0
0
0
0
0
0
0
0
0
0
16
16
0
8
0
0
0
0
8
0
8
0
0
0
2
0
17
0
0
0
2
0
0
0
0
0
9
8
8
0
8
8
10
10
0
8
0
8
8
8
0
4
8
0
16
16
0
0
0
0
0
0
1
8
8
0
8
8
8
16
8
8
8
0
1
0
2
0
16
0
0
0
8
22
16
8
0
0
8
0
8
8
0
24
24
24
0
0
0
0
0
0
24
8
8
8
8
0
4
16
16
21
8
8
4
16
0
0
0
0
16
16
8
8
0
0
0
8
8
24
8
8
0
0
16
19
19
0
0
0
8
8
8
0
0
8
8
8
0
0
8
2
0
8
8
8
0
0
0
0
4
25
16
16
0
0
0
11
0
0
8
8
8
8
0
0
0
1
0
16
16
16
8
0
4
20
4
4
8
8
8
0
4
0
0
0
16
0
0
0
0
0
0
0
0
4
4
4
0
0
16
0
0
0
0
0
0
1
0
0
4
16
1
1
1
8
8
0
0
16
16
16
16
20
8
8
4
6
2
0
2
0
0
0
0
0
0
4
4
12
8
24
24
4
8
8
24
16
4
8
8
8
8
8
9
16
16
17
24
24
16
16
0
2
2
16
0
0
0
0
0
0
4
4
8
8
0
0
8
8
0
2
2
2
0
1
4
4
8
0
0
0
1
8
8
0
0
28
0
4
4
0
4
4
2
2
0
0
0
0
0
0
0
0
0
0
0
16
8
8
8
2
0
0
1
0
2
0
4
4
0
0
0
0
16
16
16
8
4
0
0
0
16
16
16
16
16
5
0
4
8
8
16
16
4
8
8
8
0
0
0
8
8
0
0
0
0
0
16
1
0
0
4
4
4
4
0
9
20
16
16
16
16
0
0
4
4
9
9
9
0
16
8
16
1
1
16
16
0
0
8
8
0
8
4
16
8
8
8
8
8
8
8
8
8
48
48
48
48
48
48
0
19
1
0
0
4
20
20
0
8
0
0
0
16
4
4
0
8
8
4
4
0
8
0
0
8
0
20
16
16
16
0
0
0
0
0
0
0
0
60
0
0
0
0
0
0
0
0
8
8
0
8
2
0
0
8
0
20
20
4
8
0
16
0
8
0
0
38
0
8
8
0
0
0
8
16
18
16
0
0
0
16
16
8
8
32
8
8
16
16
16
16
16
0
4
4
0
0
0
0
0
0
8
8
16
8
0
0
0
0
0
16
0
0
0
4
0
8
24
16
16
0
1
0
1
0
20
4
0
0
0
16
0
0
1
4
4
0
8
3
0
0
0
8
8
0
0
0
0
16
16
16
16
8
0
0
0
8
8
0
16
16
0
0
0
0
16
0
0
8
8
8
8
8
8
0
0
0
2
2
2
0
0
0
32
16
8
0
0
0
0
0
0
0
0
16
16
0
0
0
16
16
16
16
8
8
16
12
8
4
16
0
0
2
2
0
4
16
4
8
8
8
2
27
2
0
0
0
2
2
48
8
0
0
16
8
1
1
0
1
8
8
4
8
0
0
6
16
16
16
2
0
4
4
4
4
4
0
0
0
8
8
0
0
0
24
0
0
9
4
0
0
0
0
16
2
0
48
48
0
1
1
1
32
0
4
4
0
0
0
0
0
8
0
0
8
8
8
0
0
0
8
0
16
16
8
8
16
16
0
0
8
8
8
8
0
0
0
8
8
8
8
8
4
4
0
4
4
4
0
8
8
8
8
13
13
13
4
2
26
8
8
8
8
8
4
16
4
4
4
12
8
8
0
24
24
16
16
0
0
0
8
10
16
16
16
8
2
2
2
0
8
0
2
8
8
0
16
16
16
0
4
0
8
8
8
16
16
4
16
8
0
0
32
32
27
25
8
0
0
8
4
0
25
8
0
8
0
0
8
0
0
0
0
8
0
52
0
0
4
4
8
8
8
8
0
0
0
8
0
8
8
0
1
1
16
16
8
8
8
8
16
16
0
0
0
0
0
0
0
0
0
12
0
8
16
16
16
8
4
16
0
0
0
8
16
16
0
0
4
0
0
16
16
25
0
4
0
0
4
4
4
0
0
32
24
0
0
0
0
0
8
8
16
4
8
8
8
0
8
8
8
0
0
8
0
4
4
4
4
8
0
0
0
0
0
8
8
8
8
0
0
0
0
8
8
0
0
0
1
1
4
8
8
0
30
0
0
0
4
4
8
8
8
8
8
8
0
0
0
0
8
0
21
8
8
24
16
16
0
0
0
16
16
0
0
0
2
2
2
2
2
8
8
8
8
0
0
4
0
16
16
16
16
0
0
0
8
8
8
8
8
8
8
0
0
0
0
8
8
0
0
0
6
8
8
8
0
16
9
0
0
0
0
0
0
0
8
0
0
8
8
32
0
8
8
8
16
8
8
0
8
8
1
1
16
0
0
16
2
16
0
0
0
0
8
2
0
0
8
0
20
20
20
16
16
16
16
16
0
0
17
8
8
8
1
1
0
8
0
0
0
0
0
8
0
0
0
0
0
32
32
16
16
0
0
16
16
16
16
16
16
0
8
16
0
0
0
0
0
0
1
16
0
0
8
8
8
0
0
0
8
6
6
0
0
18
8
8
8
8
16
0
0
0
1
8
8
2
2
0
8
8
0
16
0
0
16
0
1
0
0
0
0
0
24
8
8
0
0
0
16
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
22
22
0
0
0
0
0
0
0
0
0
0
4
4
4
0
20
4
4
16
16
16
0
0
1
1
1
8
8
8
8
8
8
8
8
16
1
1
1
1
1
0
0
8
8
6
6
6
0
8
8
0
0
0
0
16
16
8
0
16
8
8
8
8
8
8
0
0
8
0
0
0
0
8
8
16
8
0
2
0
8
8
8
8
0
0
16
16
16
0
0
0
0
16
16
16
16
16
16
0
4
8
8
0
0
0
0
0
6
16
0
1
4
0
0
16
16
16
0
4
4
0
8
8
8
4
0
0
0
0
0
0
0
0
0
0
0
0
4
0
16
16
12
16
24
0
0
0
0
0
0
16
0
0
18
0
0
0
9
9
6
1
1
0
0
0
16
16
21
21
4
0
0
0
8
8
8
8
0
0
16
8
0
8
0
0
0
16
16
0
0
0
0
0
16
16
8
8
8
8
1
1
0
24
24
4
4
4
0
1
1
1
16
1
0
0
0
0
0
0
0
0
0
0
0
8
8
0
8
8
8
40
2
2
0
0
6
4
4
0
0
16
0
1
0
0
0
0
8
8
0
0
0
8
8
8
2
8
8
8
8
8
8
24
8
4
4
8
0
8
0
0
0
0
0
0
0
0
0
0
0
0
8
8
17
0
8
8
8
8
16
8
8
0
8
2
0
0
0
0
16
16
0
16
16
0
16
16
2
8
0
8
0
0
12
12
0
8
8
0
0
0
8
0
8
4
4
0
0
0
0
0
16
0
4
8
0
0
0
16
0
8
0
8
8
24
2
8
8
8
3
0
9
9
16
16
0
11
11
8
16
16
8
0
0
8
0
0
9
1
1
8
8
8
8
8
0
0
1
1
8
8
8
8
8
8
0
0
1
8
0
28
16
0
0
8
16
32
0
0
0
16
16
16
0
2
2
0
8
8
8
8
18
18
18
16
16
16
16
16
4
1
8
8
8
8
24
24
10
10
0
0
0
0
33
33
4
4
8
16
2
2
1
34
0
16
48
0
0
32
32
16
16
16
0
8
0
0
0
8
0
1
8
8
8
8
8
4
4
4
1
1
8
8
0
8
0
8
8
8
8
0
4
17
17
8
22
22
22
22
8
8
8
4
4
0
0
0
0
0
0
0
16
16
16
16
16
16
16
24
40
11
0
1
1
8
8
8
8
24
4
4
4
0
8
16
9
2
0
8
8
24
0
4
4
0
0
32
8
1
4
4
8
0
8
8
8
8
8
8
16
16
8
8
0
0
16
9
16
16
16
0
4
16
4
0
0
8
16
0
12
4
12
12
8
0
0
28
0
0
8
8
8
0
8
8
0
8
1
16
16
16
24
24
0
8
8
4
4
0
5
5
5
8
8
8
8
0
17
8
8
8
8
8
16
16
0
0
0
0
0
17
17
4
0
16
2
8
0
0
8
8
8
8
0
16
16
16
16
16
16
8
0
0
56
16
20
0
0
4
8
8
8
0
0
8
8
8
8
0
0
0
0
1
1
1
8
3
16
16
16
2
2
0
8
8
0
0
0
2
21
16
24
5
18
16
8
9
9
9
9
9
0
0
0
0
0
8
0
17
16
4
26
26
0
33
49
2
2
8
0
0
0
1
16
0
1
1
1
1
0
1
1
4
4
0
1
0
0
8
8
8
8
8
8
8
0
2
8
8
18
0
8
0
1
16
24
16
3
2
8
8
2
2
8
1
1
0
4
8
0
0
2
2
8
25
8
8
0
8
8
12
0
8
16
16
8
8
8
8
6
38
1
21
4
2
8
8
13
1
1
8
8
8
8
8
8
8
8
8
0
8
8
8
2
2
16
7
4
2
1
1
0
0
4
4
4
20
0
29
0
0
0
24
0
8
4
4
8
8
8
12
12
12
0
0
16
16
16
16
0
0
8
8
8
0
0
16
8
8
8
1
1
1
1
8
8
2
2
32
8
8
16
8
0
0
0
0
8
8
8
16
16
16
16
8
8
8
0
8
8
8
4
0
2
0
2
2
0
0
0
0
0
1
1
18
18
8
8
8
0
8
8
8
0
8
8
8
24
24
16
16
16
8
8
8
8
1
0
0
0
8
4
0
8
0
0
16
0
0
0
1
16
16
4
4
4
8
8
24
0
8
8
8
16
0
8
8
8
8
8
8
0
0
0
8
8
16
16
8
8
0
8
8
8
32
16
16
8
8
0
0
8
4
8
1
17
1
1
16
16
16
0
0
1
1
1
8
1
1
1
1
16
16
16
24
8
8
8
8
0
0
0
4
4
2
2
2
8
6
16
2
16
8
8
4
3
1
1
16
16
4
0
16
16
0
0
0
0
0
0
0
16
16
16
16
16
0
1
1
24
8
24
16
16
16
16
16
0
0
0
8
8
6
0
16
0
0
0
0
16
16
24
16
8
8
4
4
4
16
8
8
8
0
17
16
8
8
8
8
8
4
1
8
8
8
8
8
8
0
0
6
16
16
16
8
0
0
0
0
8
8
8
8
8
0
0
8
16
16
16
16
16
16
16
16
16
0
0
0
1
1
1
1
8
8
8
8
8
8
8
0
0
16
16
16
0
0
0
0
1
1
1
1
1
1
1
1
1
1
4
8
8
0
8
8
0
0
0
30
8
8
0
0
0
0
0
0
0
8
4
4
8
16
0
0
8
16
16
2
2
8
0
0
0
8
8
2
6
16
16
24
2
2
2
2
8
0
24
0
8
1
0
4
8
8
8
8
12
12
8
0
17
0
8
8
8
8
8
8
8
1
1
8
1
1
0
0
8
8
8
24
8
8
8
32
8
8
8
0
0
0
12
28
28
28
28
32
40
0
0
0
0
0
0
0
0
9
8
17
0
16
16
16
16
16
16
4
12
6
6
8
8
8
8
16
0
32
32
0
16
16
0
0
8
20
8
8
8
8
4
4
4
2
2
16
16
16
16
0
6
6
8
0
4
8
8
16
8
8
8
4
4
8
0
1
0
0
0
0
0
0
8
8
8
8
8
16
0
0
0
16
16
0
9
8
2
8
8
8
8
8
8
0
16
16
4
4
4
16
16
16
8
4
4
4
4
4
24
0
0
1
0
0
8
8
0
2
4
8
5
1
1
0
0
0
8
8
8
8
24
8
48
16
4
4
4
2
0
0
8
0
0
0
0
0
4
8
8
0
8
16
16
8
0
0
0
8
24
1
1
1
1
8
8
0
0
0
0
0
2
2
2
4
4
8
8
8
24
24
8
0
0
0
16
16
0
24
8
0
32
8
8
8
16
16
8
0
0
4
1
1
20
20
20
0
0
1
1
1
0
0
0
16
16
16
0
0
0
16
16
16
16
8
8
16
16
8
8
0
0
0
0
16
16
0
8
8
8
8
8
8
8
8
8
16
16
20
20
20
20
0
0
8
8
8
32
4
4
8
16
16
4
40
40
40
1
0
2
18
4
4
4
4
16
0
0
2
17
17
8
0
0
16
16
8
0
8
0
4
0
0
0
0
0
0
0
8
8
0
8
8
32
1
32
0
8
0
17
8
8
8
16
24
24
16
16
32
0
0
8
8
0
24
0
0
0
0
0
0
4
4
4
24
19
19
2
8
8
8
0
0
0
0
0
0
0
8
8
4
4
8
8
8
0
17
8
8
8
29
8
0
8
8
0
0
16
16
16
16
16
8
8
8
0
0
8
22
22
22
8
8
0
1
1
1
0
8
8
8
8
32
24
8
8
0
8
16
16
16
8
8
8
16
32
0
0
0
0
0
0
16
16
16
16
0
16
16
16
16
0
0
8
8
8
0
8
8
32
32
0
0
16
8
8
20
16
0
8
8
8
8
0
0
19
2
16
16
16
8
0
0
0
0
0
3
0
16
16
0
0
0
4
8
16
0
0
2
2
0
10
10
8
8
16
4
0
8
0
8
8
16
16
8
8
8
8
8
8
4
4
0
0
11
16
16
0
24
16
8
8
8
3
3
0
16
16
8
16
16
0
0
0
8
0
1
8
4
16
0
8
8
8
8
0
0
0
0
0
0
0
0
8
2
2
8
16
33
33
4
4
4
8
16
8
0
1
0
0
2
1
16
16
0
16
16
12
12
4
0
16
8
12
16
2
2
8
24
24
0
0
6
6
16
16
16
8
6
6
6
6
0
0
8
8
8
8
8
8
8
0
4
12
16
16
16
8
2
18
8
3
3
16
8
16
32
16
16
16
24
8
0
24
0
8
12
0
0
8
8
8
8
8
8
1
1
1
8
2
16
16
0
8
0
0
8
8
8
8
4
8
8
16
4
16
16
32
32
1
1
16
16
8
8
8
8
0
0
0
0
0
0
0
8
0
0
8
8
16
17
0
0
0
17
1
1
5
5
8
8
8
8
0
0
1
8
0
4
0
8
8
8
8
8
8
8
4
20
4
4
8
8
33
33
33
16
16
0
4
4
4
2
4
8
0
4
4
0
4
16
0
16
16
17
0
0
0
8
24
8
16
0
24
24
0
21
21
21
1
1
1
16
16
16
8
16
1
1
9
8
19
19
24
24
2
2
2
8
0
0
0
0
12
12
0
0
16
24
9
8
8
2
2
2
0
8
2
2
2
2
1
0
16
8
8
0
0
2
2
2
8
8
24
24
24
16
0
0
8
8
8
8
8
8
16
16
16
16
0
12
12
12
8
0
33
33
0
16
16
16
16
24
8
8
16
16
0
12
16
16
24
24
1
0
0
8
8
16
8
24
8
8
8
8
8
0
8
8
8
0
4
4
2
8
8
8
16
16
16
8
16
0
0
0
0
2
2
2
2
0
0
12
0
0
8
8
16
16
16
16
24
24
0
8
8
4
4
8
8
1
8
8
8
8
8
0
2
2
2
2
4
4
8
1
1
24
1
1
16
16
16
16
16
16
8
8
8
8
8
8
8
0
0
0
0
0
0
1
1
16
16
0
0
0
17
17
17
17
17
0
0
24
24
0
0
8
8
8
4
4
0
2
2
24
0
8
8
0
0
0
8
8
8
8
0
2
1
0
0
0
0
0
0
0
4
4
0
0
0
8
16
16
16
16
16
16
16
2
8
2
2
2
32
0
0
17
17
1
1
0
0
4
16
16
16
8
8
8
0
0
0
0
8
0
16
16
17
17
0
8
8
8
16
8
0
1
1
1
1
1
1
48
8
8
16
8
4
4
0
1
8
8
8
8
8
8
8
8
20
24
0
0
8
12
12
12
0
0
4
20
20
16
8
8
56
24
8
0
0
1
8
8
8
0
0
0
8
8
0
24
8
8
8
8
8
8
24
49
0
0
0
0
2
2
0
8
8
8
32
8
8
8
8
8
0
18
18
18
1
0
16
0
16
16
24
16
16
8
1
2
0
34
0
0
0
0
2
0
0
8
0
1
1
1
8
4
4
1
16
0
0
8
8
4
4
0
1
1
1
1
1
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
8
8
8
8
8
8
8
8
8
8
8
8
2
2
2
8
1
19
4
23
0
0
4
4
4
1
1
8
16
16
48
8
4
0
0
0
0
16
0
0
8
8
8
8
4
4
8
8
8
0
0
8
8
8
2
0
8
8
8
8
8
16
0
17
20
20
20
8
0
0
0
8
32
20
16
16
8
8
16
16
16
16
9
8
8
8
8
8
20
0
8
8
8
8
0
0
0
16
16
3
3
3
20
20
8
8
0
0
4
0
0
0
0
0
0
8
0
4
4
8
8
8
8
8
8
8
8
8
0
16
8
0
0
0
0
8
0
1
1
1
9
0
16
17
4
4
9
4
4
4
17
19
19
4
4
16
8
8
8
0
16
16
16
16
32
18
0
0
0
20
20
4
4
0
0
0
0
0
0
0
4
8
8
0
0
0
0
2
2
12
8
16
26
24
8
8
0
0
8
8
8
0
4
4
16
8
6
4
0
8
8
24
16
8
25
16
9
16
8
8
8
1
26
26
16
24
2
2
8
8
27
8
0
32
16
0
0
8
8
8
20
4
16
1
1
24
24
2
8
0
0
16
0
0
0
0
0
0
0
1
8
0
0
4
9
8
4
20
0
0
8
8
0
0
4
4
0
16
0
12
8
8
16
16
8
0
0
0
16
20
16
8
8
8
8
8
8
1
12
2
2
2
2
2
0
8
8
8
8
16
4
4
4
4
4
0
0
8
16
0
0
32
16
16
16
8
8
8
8
8
48
50
48
10
0
16
0
2
2
0
0
8
16
0
16
16
11
11
8
8
8
8
8
8
8
8
4
4
4
4
8
8
18
18
8
0
2
0
16
16
8
8
8
0
8
8
16
8
8
2
2
2
2
5
0
8
8
16
16
1
4
4
4
17
4
4
0
8
8
8
8
8
8
16
16
8
8
17
16
16
16
9
8
8
0
8
8
44
44
16
24
24
24
16
24
0
0
0
2
10
8
8
8
8
8
8
8
8
8
8
16
16
0
0
4
16
9
0
1
5
20
8
8
8
33
33
33
0
58
8
0
8
8
8
57
32
32
32
0
0
0
0
0
4
16
16
16
19
0
0
0
2
2
2
2
2
2
2
0
8
16
2
8
8
0
0
0
41
8
8
24
24
28
4
1
1
16
0
16
16
8
32
32
0
1
1
0
0
0
0
0
1
1
1
8
8
8
8
0
2
2
2
16
16
0
0
0
0
8
16
16
0
0
4
4
8
8
0
0
16
22
22
22
2
2
8
16
0
4
0
5
0
0
0
8
8
8
0
0
0
8
16
16
8
24
24
24
25
2
12
4
4
0
0
0
0
0
0
0
0
0
1
1
8
8
0
0
8
8
8
0
8
8
0
0
4
4
0
0
0
0
8
4
4
4
4
18
0
36
36
1
0
8
8
8
8
16
16
16
16
16
0
0
8
8
8
8
0
0
18
18
2
4
0
8
8
8
8
8
8
8
8
8
24
8
8
8
0
1
1
2
2
6
4
4
4
4
4
4
4
8
0
0
0
4
4
8
8
8
8
8
2
2
2
8
12
16
16
16
16
16
8
32
8
16
8
0
8
8
1
1
8
8
0
4
4
4
25
0
4
0
0
8
8
28
2
2
16
0
4
4
10
2
0
0
4
4
4
8
8
0
0
0
0
8
8
0
0
2
0
0
40
40
1
10
8
32
16
1
1
1
8
8
0
0
2
2
18
16
0
8
4
8
10
8
8
8
8
8
8
8
0
0
8
24
24
16
16
0
8
8
8
8
0
33
0
2
2
0
0
16
40
0
8
0
0
24
16
4
1
1
0
0
0
8
8
8
8
8
0
0
8
8
0
0
0
0
4
16
0
0
0
0
8
2
8
4
16
16
16
8
2
2
2
16
0
8
9
9
16
16
16
2
2
2
2
2
0
0
16
24
16
22
22
22
22
22
8
8
8
2
2
2
4
16
16
16
16
4
0
8
8
0
0
0
0
0
0
32
32
8
8
0
0
16
16
0
8
32
8
2
2
2
2
2
16
1
0
0
0
0
4
4
8
32
8
16
2
2
2
2
16
8
8
8
8
0
8
1
0
8
24
2
2
4
4
4
4
4
4
8
0
0
0
8
8
8
8
8
0
0
16
16
32
32
32
32
18
8
0
8
8
20
16
8
8
8
9
16
0
0
0
8
8
8
0
8
0
16
0
8
0
0
8
8
8
8
8
8
8
2
0
0
1
8
16
16
5
5
1
8
8
4
4
4
0
0
0
8
8
8
8
8
0
8
8
2
2
13
13
13
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
8
0
16
0
0
8
8
8
8
8
8
8
8
32
32
8
8
0
0
12
8
0
8
8
8
8
0
16
2
2
16
8
0
0
0
0
16
16
9
9
13
9
8
56
56
56
56
8
8
8
4
4
0
0
2
2
8
1
16
16
16
16
16
16
1
0
5
16
0
2
0
0
8
8
8
9
8
8
8
8
8
0
0
0
0
0
8
8
16
0
0
0
9
8
8
8
20
20
20
8
16
16
16
1
1
16
0
0
0
4
4
4
8
8
8
8
8
8
16
0
2
2
0
0
0
8
0
0
24
1
1
1
0
1
16
0
0
0
0
0
0
0
0
0
8
8
0
2
8
8
2
2
8
2
2
2
0
2
2
16
8
8
8
8
8
18
2
16
8
8
17
32
8
4
4
4
4
1
16
8
8
8
8
8
8
8
8
8
0
0
8
8
0
8
8
8
24
0
0
0
0
8
8
8
8
2
16
0
0
8
16
8
8
8
2
16
2
8
0
0
0
8
1
0
8
4
1
1
1
1
8
0
22
22
4
8
3
0
12
12
0
0
0
0
8
8
16
8
8
8
0
0
0
0
0
18
0
8
8
8
0
0
0
0
0
0
4
20
2
8
16
8
24
0
0
8
24
24
8
4
10
10
8
8
8
8
8
24
0
0
8
2
2
2
2
2
2
4
17
1
16
1
0
0
12
4
4
0
0
4
4
4
4
12
0
0
8
8
8
8
8
8
8
20
8
22
22
22
16
16
16
16
16
24
0
16
0
0
0
0
16
16
8
17
17
17
20
0
28
8
8
0
8
4
4
4
8
24
24
8
24
24
0
8
8
8
0
1
0
8
0
0
0
0
8
8
8
8
0
8
0
8
8
8
4
4
8
18
2
8
8
8
8
8
8
8
2
8
16
24
8
8
0
0
0
0
0
0
0
0
1
1
1
0
8
8
0
2
2
16
16
16
16
0
16
8
2
2
0
16
16
8
8
1
1
1
8
2
2
25
0
8
8
8
0
8
12
8
8
12
0
0
8
4
0
16
16
16
8
8
4
8
8
24
8
8
8
8
8
0
1
0
32
0
0
0
0
0
8
8
8
4
4
24
4
1
4
0
0
0
0
0
16
8
8
0
8
0
0
0
8
8
4
4
16
8
0
8
1
0
0
24
8
8
8
0
8
8
8
8
12
8
24
0
0
16
16
0
0
8
20
16
0
1
16
16
16
8
8
8
8
8
0
4
24
24
24
24
0
16
16
0
16
0
0
8
16
0
0
0
8
8
18
4
4
0
0
0
0
1
1
8
8
8
8
8
0
0
8
24
16
16
1
8
0
0
0
0
0
8
8
16
16
16
0
0
8
8
8
8
8
8
2
2
2
8
8
8
8
0
16
0
8
8
8
20
8
0
16
16
16
4
16
40
40
32
0
0
0
0
0
2
2
2
8
8
8
0
0
2
8
8
8
8
16
12
12
0
0
40
48
8
8
1
1
0
0
0
24
24
4
4
0
0
0
16
16
8
8
8
8
16
0
0
8
8
8
8
0
2
8
8
8
8
8
8
0
0
4
16
4
16
0
0
0
1
1
1
0
0
2
2
2
8
8
8
0
8
8
2
4
4
4
8
9
8
8
8
11
0
0
14
8
8
8
0
8
8
0
0
0
0
0
0
16
0
8
0
0
4
8
8
4
8
24
24
8
0
16
16
32
32
16
16
0
8
8
4
4
0
0
2
2
5
21
5
5
5
8
16
16
16
16
8
1
32
32
8
8
8
0
0
0
0
0
0
28
28
28
16
0
0
24
8
8
8
8
8
5
8
8
8
8
8
0
16
4
4
4
4
0
16
16
0
0
8
8
8
8
8
8
8
16
0
0
8
8
16
16
8
8
8
8
20
32
32
32
0
8
8
0
0
0
8
8
8
8
8
8
8
16
16
16
16
4
4
4
2
17
17
8
18
8
0
0
0
16
8
8
0
0
25
0
8
16
16
4
8
8
0
0
8
8
0
0
0
8
8
8
2
1
17
17
0
0
0
28
0
1
1
1
0
0
0
0
8
8
56
1
0
8
8
8
8
0
16
8
4
0
0
0
8
0
0
0
0
8
0
8
18
16
8
0
0
16
4
16
16
16
3
0
0
0
8
8
8
36
4
0
0
0
0
4
4
4
17
0
0
8
8
8
0
0
0
0
56
56
56
0
8
8
8
0
8
8
0
1
1
0
0
8
8
8
8
9
9
9
0
48
16
0
1
1
0
16
16
0
0
0
0
0
8
16
16
16
0
8
8
2
2
2
16
12
12
8
8
16
16
20
4
4
4
4
0
0
0
0
16
2
2
1
8
24
4
4
8
4
0
0
0
8
8
8
8
0
16
17
19
18
1
19
2
8
8
8
8
8
52
16
40
40
40
8
8
8
8
8
8
1
0
0
16
0
0
16
8
8
8
8
8
0
0
8
8
8
8
1
2
8
8
8
0
0
4
4
4
0
0
20
1
8
0
12
12
4
16
16
19
0
8
8
8
2
8
16
16
8
16
16
16
0
0
0
8
8
8
8
0
8
2
2
2
2
0
0
1
1
16
0
0
8
0
16
16
1
1
1
1
1
4
4
1
8
10
2
8
0
4
0
0
1
8
57
8
8
8
8
0
0
2
2
8
8
8
8
8
8
8
16
16
16
8
8
8
8
8
8
1
1
4
0
0
0
16
16
5
0
8
0
0
2
4
5
9
9
9
9
0
8
8
8
0
1
1
3
4
16
16
16
16
0
8
1
8
0
0
0
0
0
0
8
5
16
16
16
16
1
1
1
24
16
16
16
16
16
8
0
0
9
25
0
0
16
16
16
4
4
16
0
4
16
16
16
16
16
16
16
8
16
16
16
0
0
0
3
0
0
0
0
16
16
16
16
16
8
8
0
8
2
2
2
2
2
8
8
8
8
8
8
8
8
4
0
8
8
16
8
2
16
16
16
0
0
4
8
12
8
0
0
0
0
1
1
4
4
0
32
8
8
35
16
1
1
1
1
0
0
8
8
16
16
20
18
24
8
2
1
1
1
1
0
0
16
16
0
0
0
4
0
0
0
0
0
24
24
8
0
0
0
0
2
10
8
8
8
8
8
8
2
16
2
16
16
16
16
16
8
8
8
1
1
0
32
0
0
0
0
0
8
8
8
8
8
0
8
8
24
0
4
24
8
8
8
8
0
0
0
58
8
8
8
2
2
0
0
16
9
0
32
32
32
32
28
28
8
8
28
16
0
0
33
33
16
16
16
24
8
1
0
0
0
0
2
0
16
16
16
8
8
8
8
8
0
16
0
14
8
48
14
6
0
0
8
8
8
4
4
4
4
18
18
32
32
8
8
0
0
0
0
0
0
0
8
8
8
8
8
8
8
8
8
16
16
4
4
0
0
0
8
16
48
48
48
16
0
2
2
2
24
8
8
8
8
0
0
0
8
8
8
8
17
17
16
16
16
8
18
18
19
0
0
2
1
0
0
0
0
0
8
8
4
4
4
4
1
1
1
0
0
0
0
0
0
2
32
16
16
4
16
4
4
1
1
1
1
1
16
0
16
24
24
24
16
1
1
0
0
20
16
1
0
2
2
16
8
16
16
0
0
8
8
16
16
11
8
2
8
8
16
16
0
36
8
8
8
8
8
10
0
8
8
8
8
8
20
0
0
8
8
8
8
16
16
16
16
16
16
16
16
0
16
0
1
8
8
0
0
0
0
0
0
16
8
8
8
8
2
2
2
2
2
2
16
0
0
8
8
0
0
0
0
0
0
0
24
24
24
16
16
0
0
0
0
16
16
16
0
24
0
14
0
0
24
0
0
0
4
4
4
0
16
16
0
2
2
2
0
0
1
1
32
32
8
8
8
2
2
0
4
4
4
8
8
0
4
4
4
8
8
16
8
2
2
16
0
0
29
29
8
12
12
12
0
10
10
8
8
8
8
8
0
0
5
0
0
0
4
8
8
0
0
26
0
0
17
17
17
17
24
0
16
0
16
16
16
16
16
16
16
1
1
1
0
0
16
16
4
8
24
8
8
0
0
2
0
8
8
8
8
8
4
4
8
8
8
8
8
0
16
16
16
16
32
32
0
20
20
20
18
18
16
16
24
1
1
1
1
1
1
1
5
16
4
4
4
4
4
0
16
16
16
0
8
24
24
4
4
1
12
8
8
16
2
2
8
8
16
12
16
0
0
0
0
20
4
1
0
0
8
18
18
18
16
1
8
24
24
8
8
8
8
0
0
8
8
8
8
16
16
16
0
0
8
12
16
8
0
0
0
8
8
8
8
8
24
24
24
8
8
8
8
16
8
8
0
0
0
8
0
0
40
8
8
40
8
8
8
8
8
28
8
0
16
25
25
2
2
2
4
0
32
8
8
8
3
3
8
8
16
16
16
16
16
16
16
16
8
8
8
0
8
8
8
8
8
8
0
0
8
8
8
8
8
40
56
40
24
24
16
18
16
8
16
16
8
12
0
0
0
16
0
0
0
1
0
4
4
4
0
2
6
16
16
0
4
4
16
16
0
0
0
8
24
25
1
1
1
0
4
4
4
1
1
1
16
0
0
0
0
8
8
8
8
8
0
0
0
0
8
8
8
8
17
8
8
8
8
8
2
2
2
2
2
1
0
8
8
8
0
16
16
5
0
0
1
16
1
16
16
0
0
4
4
4
4
0
8
4
0
8
8
0
12
0
4
4
4
4
4
4
0
0
0
6
0
0
1
1
8
1
20
0
0
20
0
8
8
16
1
0
0
8
8
16
0
8
8
56
2
2
8
4
4
5
0
0
1
1
4
4
8
6
0
8
8
8
2
16
0
8
32
36
0
0
4
0
0
0
8
0
2
2
2
16
20
8
5
18
8
8
16
0
2
1
0
32
0
0
8
8
12
8
0
1
1
16
0
0
0
16
16
16
16
16
0
10
10
8
8
8
0
0
8
0
16
16
0
0
8
0
0
0
16
16
16
8
8
8
8
8
2
8
0
0
0
0
16
16
0
20
20
0
0
0
16
16
16
16
16
16
16
16
16
16
16
16
16
16
10
16
4
2
0
0
8
8
4
4
16
16
0
0
8
6
8
3
0
4
18
18
18
8
0
42
42
1
1
20
16
16
16
4
4
4
2
18
0
8
8
8
4
4
4
0
16
8
8
16
24
28
8
2
2
2
3
2
4
4
4
4
4
0
0
0
2
2
20
20
0
0
8
28
4
16
16
16
16
16
16
16
16
0
4
2
8
8
0
0
4
50
50
8
8
8
8
8
0
0
16
8
16
8
8
4
24
24
8
0
4
4
0
16
8
16
8
8
8
18
2
58
58
58
58
58
0
0
0
0
0
0
16
4
32
16
16
8
16
16
8
5
1
1
1
8
8
8
24
24
21
8
8
2
2
2
1
1
1
1
1
8
8
34
40
8
8
0
16
8
8
16
16
0
0
16
8
20
4
20
4
0
8
0
16
4
4
8
32
8
4
16
16
16
8
8
8
8
8
0
28
0
0
20
0
0
16
8
16
8
0
0
0
0
1
12
8
1
1
1
1
1
16
16
16
0
0
8
8
6
6
0
0
0
1
1
1
1
1
1
1
1
0
2
0
0
0
0
0
0
0
0
8
0
0
17
21
8
0
8
8
8
1
25
8
8
8
8
8
8
8
8
0
8
0
0
0
4
4
24
24
8
0
16
28
8
1
4
4
4
4
4
4
16
16
16
4
16
16
0
8
0
0
24
24
24
24
16
16
16
16
24
16
0
0
1
1
16
25
8
8
8
9
24
16
16
29
2
2
2
2
24
24
0
4
4
0
8
16
16
16
16
16
8
8
8
8
16
16
16
8
8
0
0
8
8
8
10
14
8
0
0
0
8
0
8
8
8
8
8
0
8
8
1
16
18
0
0
8
1
1
1
4
4
0
0
2
2
2
2
2
8
24
8
16
16
1
1
1
8
8
8
8
4
4
16
8
0
0
20
20
48
16
20
0
0
16
16
2
2
2
4
4
4
4
0
8
8
8
8
1
1
1
1
0
4
4
4
4
8
8
8
1
1
16
16
4
14
14
2
2
0
0
12
12
12
12
0
0
0
16
16
8
8
4
21
0
0
0
0
0
8
8
8
8
8
24
8
8
8
0
8
16
16
0
0
0
0
4
4
4
2
0
0
0
16
16
0
0
8
0
0
0
8
8
8
0
0
0
8
8
8
32
32
9
8
8
0
4
4
8
6
6
6
6
6
1
1
8
9
8
8
16
0
8
8
8
8
8
20
0
0
0
48
0
8
4
20
20
4
4
0
0
8
0
0
8
8
0
0
4
8
0
0
8
8
8
16
16
8
8
0
16
8
8
8
11
11
11
11
32
32
32
8
0
8
8
8
8
8
0
0
0
0
24
0
0
0
0
2
0
0
8
8
8
0
16
0
8
8
8
8
8
12
8
8
0
0
8
8
2
2
2
2
8
8
16
16
8
8
1
8
8
8
8
8
0
4
4
8
24
24
24
16
16
16
58
58
8
16
16
16
16
0
8
8
0
32
0
0
0
0
2
2
9
48
0
16
8
0
0
8
0
0
8
13
15
0
24
8
8
8
1
1
1
0
2
18
2
2
12
8
0
8
8
16
16
16
8
24
8
8
16
0
0
0
8
12
33
33
0
0
0
0
16
48
8
0
0
0
8
8
8
20
16
4
8
42
0
2
2
16
8
8
0
0
0
8
8
0
4
0
8
8
8
8
8
8
8
0
0
0
32
0
0
0
32
32
32
1
1
1
1
1
16
0
0
0
0
1
1
6
4
4
0
0
8
8
8
0
0
0
0
0
16
16
16
40
8
16
16
0
8
0
0
0
16
0
0
0
0
0
0
0
8
8
8
16
8
8
16
8
16
8
8
1
1
0
0
8
8
8
4
32
16
16
8
8
2
8
0
32
8
8
4
4
0
0
16
16
16
0
0
0
0
8
8
8
8
8
8
0
8
8
8
8
0
0
0
8
8
8
8
8
8
0
1
0
1
1
0
28
28
28
8
8
4
0
0
0
0
1
0
8
0
0
8
8
8
12
12
0
0
0
0
16
16
16
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
16
8
0
0
8
4
4
4
4
4
16
8
0
4
0
16
8
8
8
8
8
4
4
0
32
32
32
32
1
0
0
8
1
8
0
16
8
8
8
8
8
8
8
8
8
8
8
0
8
32
44
0
0
16
17
16
0
8
8
8
8
0
4
4
8
0
0
24
8
0
8
8
8
21
21
0
0
24
24
0
16
0
16
16
16
4
4
4
4
1
1
12
0
0
1
1
3
8
0
8
8
8
8
8
8
0
8
8
0
18
18
16
8
8
16
16
16
8
16
1
1
8
8
8
8
8
1
1
1
1
0
8
8
8
8
4
4
8
8
8
8
8
48
0
8
8
4
16
22
8
8
16
8
0
0
8
8
8
0
32
0
8
8
8
8
8
40
40
8
0
0
0
0
0
0
6
4
4
8
8
8
32
32
32
32
0
8
8
8
4
0
0
1
8
8
8
8
8
8
8
0
1
1
1
1
0
0
8
8
8
11
11
1
8
8
0
8
16
16
0
8
8
0
0
16
16
16
19
8
8
8
16
0
8
8
8
8
8
16
16
16
16
0
0
0
8
0
0
0
8
8
8
0
0
0
0
0
8
8
4
8
4
4
4
4
8
16
8
2
2
0
16
8
2
2
2
8
16
16
16
17
1
16
8
8
8
8
8
6
16
2
2
16
0
8
40
2
16
12
1
1
1
8
0
0
2
10
10
0
0
16
4
4
8
8
8
1
1
1
8
8
8
8
1
1
8
8
8
0
16
17
16
0
0
0
0
0
16
16
8
16
16
16
0
0
8
8
8
8
0
18
2
16
20
0
8
8
0
0
8
8
8
8
8
8
8
8
8
8
8
16
0
8
8
0
0
0
0
0
0
0
6
32
0
0
32
32
32
32
4
4
4
0
38
2
2
2
2
2
2
2
2
2
0
0
8
8
8
8
8
9
4
8
2
8
0
8
0
1
8
8
8
8
8
8
8
8
0
0
8
8
8
48
48
0
1
1
0
32
8
8
8
8
8
8
1
1
16
0
0
0
16
16
16
16
16
16
16
0
8
8
0
16
16
16
16
8
8
2
16
16
16
8
8
8
0
8
4
4
4
4
0
0
0
6
6
6
6
0
16
0
0
4
0
0
16
16
0
0
0
0
24
0
8
0
0
0
0
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
8
24
8
0
0
0
16
0
26
0
4
4
8
8
8
16
16
16
16
0
0
0
0
4
12
8
0
0
8
16
4
0
4
16
16
0
9
9
9
0
0
2
2
0
0
0
0
4
4
24
24
24
8
0
20
20
20
20
8
0
0
0
0
10
0
8
0
0
1
1
0
0
36
0
0
0
0
0
0
16
16
0
0
8
0
0
8
0
0
0
4
4
0
0
8
8
8
8
0
15
24
24
0
16
16
16
8
8
8
8
0
0
0
0
0
0
0
0
16
8
8
0
0
0
0
2
2
24
26
0
2
16
0
8
8
8
40
16
57
57
57
48
48
0
0
0
0
0
0
0
0
10
10
24
0
4
0
2
2
2
2
16
0
8
8
0
0
16
16
0
4
4
16
4
4
0
0
8
32
0
8
8
8
5
0
0
4
0
16
16
1
1
0
0
0
0
12
8
0
4
4
8
8
0
0
0
16
1
8
8
8
0
1
1
4
4
8
8
8
8
0
0
0
0
0
0
0
0
33
33
0
4
28
4
4
0
0
0
0
2
2
2
0
0
0
0
12
0
0
1
8
8
0
0
0
0
0
0
0
0
0
0
0
4
4
4
0
0
16
0
8
8
16
16
16
0
16
0
0
0
0
16
16
16
16
8
0
12
12
0
0
0
8
9
9
0
0
0
4
56
0
0
0
16
32
0
16
24
24
19
0
16
8
0
25
0
0
0
0
0
8
0
16
16
16
0
16
0
0
8
8
6
4
0
0
0
0
16
16
16
8
8
8
16
16
0
8
8
28
8
8
0
0
0
0
0
0
0
10
2
0
0
8
1
8
4
1
0
0
0
16
0
16
0
8
8
8
0
0
0
1
0
0
16
0
1
0
0
16
16
1
1
0
0
8
8
0
8
8
8
0
3
0
0
8
8
0
8
9
0
8
0
0
0
0
20
4
4
0
0
8
8
8
0
0
0
0
0
0
0
0
8
8
8
0
16
0
32
4
0
8
0
0
0
16
16
16
0
8
0
0
0
0
0
1
1
8
8
16
0
8
8
0
1
0
0
0
2
0
8
16
4
4
12
0
16
8
0
0
0
16
0
0
8
8
8
24
24
0
0
0
0
0
2
0
4
0
0
4
4
0
0
0
8
8
33
33
16
16
16
0
0
0
0
0
0
16
0
8
16
0
8
34
0
0
0
0
0
0
0
0
0
16
16
8
8
0
0
16
1
0
8
8
8
0
16
6
4
4
4
1
1
8
0
8
8
0
0
8
8
8
1
8
0
0
0
4
6
6
6
0
0
32
0
0
0
2
2
0
0
8
17
2
16
0
0
25
1
6
2
16
8
8
8
0
0
0
16
4
4
0
18
2
0
0
0
4
0
0
0
16
16
0
0
4
4
4
4
0
0
4
0
0
0
16
16
8
8
0
0
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
2
18
4
0
0
0
0
0
0
8
8
4
4
4
4
4
4
4
4
4
4
8
8
1
1
2
0
0
0
4
4
4
4
0
0
24
4
0
4
20
4
8
8
8
16
0
0
8
32
8
16
0
8
8
0
29
29
29
29
29
29
29
0
17
2
0
16
16
16
1
1
8
0
0
0
4
4
20
0
0
8
2
2
0
0
0
16
16
16
0
0
26
0
0
0
0
8
8
8
8
24
24
24
24
16
8
16
16
1
1
0
0
16
0
16
0
0
0
0
16
16
2
2
2
4
8
6
6
16
16
16
60
60
8
0
0
26
0
0
2
2
0
0
0
0
0
4
4
8
0
0
0
0
9
1
8
16
0
0
1
1
16
16
16
1
16
4
2
0
0
16
16
0
0
0
8
8
4
4
4
8
0
8
8
8
8
16
0
0
0
8
2
10
10
16
0
1
0
0
0
0
4
4
4
5
8
0
0
4
0
1
8
0
0
0
0
0
0
0
0
0
8
16
0
0
8
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
9
9
16
0
0
0
0
0
0
0
4
4
4
4
4
1
8
32
4
8
8
8
8
56
8
1
1
1
0
16
16
16
0
0
16
0
0
2
2
0
21
0
16
10
8
0
2
8
8
8
8
8
8
8
8
8
4
16
8
1
0
0
8
0
8
16
16
0
0
0
1
16
0
0
21
21
16
0
16
16
0
0
0
0
8
0
8
0
0
16
4
0
16
4
16
16
16
16
0
2
0
21
26
26
0
0
0
24
0
0
9
0
0
0
9
24
24
8
0
8
8
8
16
16
24
0
16
16
16
0
0
4
0
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
8
0
16
0
4
8
29
29
29
29
29
29
29
29
29
29
29
0
0
0
33
0
0
0
0
0
4
0
16
16
16
0
4
2
8
0
0
1
1
8
8
8
8
8
16
16
8
12
0
0
0
16
4
4
4
0
34
9
8
0
24
8
8
0
0
0
0
0
0
8
4
20
0
0
6
8
8
0
0
24
24
24
8
16
8
8
56
56
0
2
2
2
16
20
0
0
0
0
0
0
12
4
4
4
4
0
2
0
0
0
0
0
0
0
0
16
16
0
0
0
32
8
8
0
29
32
1
16
16
16
16
0
0
8
8
4
2
0
8
8
8
0
1
4
0
0
2
2
0
0
0
20
1
1
4
8
10
2
0
0
8
8
0
18
18
18
0
0
0
0
12
12
8
0
0
16
8
2
2
4
8
33
1
0
0
0
1
0
8
8
8
8
0
8
16
8
8
0
16
16
8
32
8
0
32
32
0
0
0
0
16
0
0
0
0
2
0
4
0
0
0
0
0
0
0
16
16
16
16
16
16
0
0
0
4
0
0
0
8
8
0
0
4
0
0
0
0
8
8
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
8
8
8
4
0
0
0
24
0
0
0
0
0
1
0
0
8
0
0
16
4
0
0
0
16
16
16
12
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
16
16
0
0
0
0
16
16
8
0
1
16
16
0
8
8
0
0
0
0
0
1
1
0
8
16
24
4
8
8
0
0
4
4
0
0
8
16
16
16
4
0
0
0
8
8
16
16
0
0
0
0
1
2
12
1
1
0
4
0
0
4
4
4
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
12
0
0
1
17
16
16
1
16
0
0
4
0
0
0
0
0
0
0
4
18
8
16
1
32
16
0
0
0
0
0
2
2
0
17
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
8
8
16
0
0
8
8
24
16
0
17
17
0
4
16
0
0
16
16
8
24
24
24
16
0
9
16
16
0
16
0
0
8
24
0
0
1
44
3
1
1
8
8
8
8
8
8
1
16
16
0
0
0
0
0
0
0
8
8
8
8
0
8
16
16
0
0
0
8
8
8
4
12
0
2
0
0
0
6
6
16
0
0
0
0
0
8
0
0
6
0
0
8
4
4
8
8
0
0
4
0
4
0
4
13
1
1
0
8
0
0
0
0
8
8
8
0
0
0
0
8
24
0
8
16
8
8
8
8
8
8
0
0
24
0
16
16
16
49
0
0
8
8
0
0
0
8
8
8
8
0
0
0
0
0
0
16
49
16
17
0
4
4
0
8
8
32
8
0
16
16
16
16
2
6
16
2
2
2
8
26
0
4
4
0
0
24
0
0
0
0
0
8
8
8
0
0
8
8
0
8
8
4
0
24
8
8
8
8
8
0
0
8
8
16
16
16
16
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
32
16
16
16
16
0
4
0
0
0
0
8
0
16
16
0
0
0
16
16
24
0
4
8
0
0
37
8
8
1
1
0
16
16
0
16
0
0
0
20
4
0
0
0
1
1
1
25
25
2
20
20
8
0
0
0
0
16
16
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
2
16
16
16
16
32
0
8
0
4
8
8
0
2
0
0
8
0
0
0
8
0
0
0
0
16
16
0
12
1
12
4
4
4
0
0
0
16
0
0
8
0
0
0
16
16
16
0
0
4
4
4
24
8
0
0
4
4
3
8
0
0
2
2
0
0
0
0
4
4
0
32
8
0
0
0
0
0
0
0
0
16
16
16
0
0
0
8
1
0
0
0
0
0
0
8
0
0
0
4
4
4
0
29
0
1
8
8
0
16
0
0
0
0
0
8
17
16
16
0
0
0
0
0
0
0
16
8
0
0
0
0
8
8
8
16
16
20
0
0
0
2
0
2
0
0
0
4
0
0
0
0
8
0
0
0
0
0
4
8
8
0
0
0
0
0
0
0
8
8
8
0
8
0
0
0
4
0
8
0
0
0
0
4
0
16
0
0
0
2
16
8
0
4
0
0
8
8
8
9
8
8
8
0
8
4
16
16
16
24
24
8
0
0
4
16
8
24
28
28
28
0
2
0
0
0
0
0
8
0
0
0
8
1
8
16
16
0
0
18
18
18
18
0
2
24
0
8
8
8
8
20
0
0
32
0
0
0
0
0
0
12
8
16
0
0
4
4
24
24
24
0
0
0
8
8
4
6
4
0
0
0
4
6
8
0
0
0
8
8
8
8
0
0
0
16
16
16
16
8
8
8
0
0
0
8
8
8
0
18
0
16
24
16
4
16
1
1
24
24
0
24
16
0
16
0
1
4
4
8
8
8
8
8
8
0
0
2
2
2
2
0
8
0
0
6
6
0
0
0
0
0
0
0
8
8
0
16
20
8
8
0
0
9
9
0
2
8
0
0
2
2
2
16
7
0
0
16
16
16
0
0
0
8
24
8
8
16
9
9
16
16
19
3
2
0
4
2
0
0
8
0
0
16
0
6
0
2
2
0
0
0
1
4
4
4
0
8
8
4
0
0
8
8
20
0
0
10
8
8
0
0
0
0
0
0
8
8
8
16
0
0
0
0
0
16
8
0
0
0
0
0
18
0
4
0
0
4
4
8
8
8
8
8
8
8
8
8
0
0
0
4
4
4
0
0
0
0
0
8
8
2
16
0
0
0
4
4
0
0
0
0
4
0
0
8
8
0
8
8
0
0
8
0
1
8
0
0
0
16
16
0
4
8
8
8
0
0
0
0
0
0
0
0
8
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
33
33
33
0
0
0
6
0
4
8
8
0
0
0
0
2
2
0
0
0
0
1
1
1
0
4
4
4
4
4
0
0
38
4
8
0
16
16
8
4
0
4
26
0
5
0
16
0
0
0
0
0
8
0
0
0
0
2
0
20
4
8
8
8
16
16
16
16
16
0
0
2
0
0
1
1
0
0
0
16
0
16
24
0
4
4
16
20
0
0
6
6
16
8
8
2
0
8
8
8
0
0
16
16
16
8
8
8
0
0
8
8
8
8
8
4
57
0
0
0
6
24
24
8
10
10
8
16
8
16
12
12
0
8
8
8
8
8
0
0
0
0
0
16
0
11
16
16
0
0
0
4
8
0
8
8
8
4
4
4
0
0
0
8
8
8
8
0
16
16
16
16
8
8
8
0
0
2
2
16
0
0
10
10
0
0
42
2
2
8
24
8
0
8
8
24
0
0
0
1
0
0
0
0
2
58
58
16
16
16
4
2
2
0
0
16
0
0
4
4
0
2
0
24
8
8
8
8
0
0
0
1
8
0
0
20
20
20
20
8
8
0
8
0
0
0
16
0
0
0
0
0
0
0
0
0
0
8
16
0
0
0
0
8
8
0
0
36
0
0
0
24
24
2
2
2
2
8
0
0
0
0
1
0
8
0
4
16
16
4
0
0
4
8
0
0
0
10
10
0
4
2
0
0
17
0
4
9
9
9
0
0
8
8
8
8
8
0
8
0
8
8
8
4
4
4
4
0
0
8
8
0
16
16
4
8
8
8
8
4
8
16
0
0
2
6
0
0
0
4
4
0
0
4
0
8
8
0
0
0
0
0
0
0
0
0
0
0
4
4
4
16
16
16
16
16
0
8
4
0
2
4
4
2
24
24
32
0
0
4
2
8
8
8
16
8
12
2
2
0
0
0
8
0
8
21
2
0
0
0
16
0
0
0
0
24
2
2
0
1
8
8
16
40
0
0
16
16
0
8
0
0
8
8
0
0
0
0
0
0
0
2
0
0
0
0
0
16
18
8
8
16
16
16
0
33
33
0
0
8
0
33
1
1
8
1
0
0
0
0
16
0
0
0
0
0
2
2
16
8
0
0
4
4
4
8
24
4
4
4
4
0
0
0
16
0
8
0
0
20
0
12
8
8
8
8
0
8
8
8
8
16
16
16
0
0
0
0
0
0
0
8
8
24
24
0
0
0
0
0
16
8
0
0
8
16
16
16
0
0
12
24
0
0
0
0
8
8
16
0
16
0
0
0
8
0
8
4
8
8
0
4
4
0
0
0
0
15
15
0
0
0
8
8
8
4
0
0
13
0
12
28
0
2
0
0
2
2
0
0
0
0
16
8
17
0
8
0
0
0
0
2
18
0
0
0
8
8
0
0
0
0
0
8
2
2
52
8
2
16
8
0
0
2
2
0
4
4
4
4
0
0
12
0
0
0
0
0
8
0
0
8
0
0
0
0
0
0
1
1
1
1
2
16
0
16
16
0
0
0
1
1
1
1
1
0
16
8
32
0
0
1
0
16
16
2
4
0
0
0
1
0
0
8
16
16
0
8
0
0
8
0
4
0
0
0
20
20
20
0
0
4
4
16
20
20
0
0
16
0
0
0
0
0
16
17
4
4
4
0
0
8
4
20
48
16
49
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
4
4
4
0
0
0
0
16
16
16
0
0
0
0
0
0
0
4
8
8
8
8
8
8
8
0
2
2
16
4
4
4
0
44
0
0
8
8
0
0
0
4
4
4
4
0
0
16
16
16
16
16
16
0
0
0
0
0
8
8
8
24
24
0
0
2
2
0
0
24
24
24
2
0
0
16
0
20
32
0
0
20
0
8
16
4
0
0
0
32
32
32
16
16
0
0
0
0
0
1
8
8
8
0
0
23
0
0
0
0
0
0
0
0
0
0
16
1
0
0
0
0
20
53
0
0
0
0
0
0
8
8
0
32
0
0
24
16
16
8
8
8
17
17
25
8
0
0
1
0
0
12
0
0
0
0
0
1
1
0
0
36
0
0
0
0
0
0
29
29
29
29
29
0
0
8
16
0
0
0
8
2
2
8
4
16
2
2
1
1
1
0
0
4
0
8
40
16
16
1
1
16
16
16
16
16
8
18
0
0
0
0
0
0
0
0
0
16
16
16
16
0
0
8
8
0
38
38
0
0
0
0
0
0
0
1
0
7
0
0
0
0
0
0
0
0
8
0
0
0
16
0
0
4
8
0
8
8
32
32
0
16
16
8
8
8
8
8
0
0
0
24
0
8
0
0
2
0
0
4
0
0
0
0
0
1
44
0
0
16
0
8
0
0
0
0
0
0
0
0
8
0
0
4
0
0
0
0
16
16
8
16
2
0
8
8
8
24
0
0
0
4
4
2
0
0
8
0
0
0
0
0
8
8
32
0
1
1
1
0
0
6
2
2
2
2
2
0
8
24
1
1
1
16
16
16
16
16
32
0
0
0
0
8
8
8
8
8
8
20
8
8
8
0
3
0
0
24
16
16
20
16
16
0
0
0
8
16
0
0
8
16
5
0
0
40
16
0
0
19
2
2
16
16
16
16
2
8
8
8
8
8
8
16
0
8
8
24
0
8
0
0
0
4
0
4
0
4
24
8
4
4
0
0
0
0
4
9
9
0
0
4
0
4
4
0
2
2
16
16
16
24
0
0
0
16
18
2
0
0
0
1
2
0
0
0
16
16
16
8
8
8
0
0
0
0
16
6
6
6
6
13
0
0
0
0
4
4
4
4
4
4
8
8
16
8
0
16
11
27
0
0
0
16
0
8
0
32
0
0
0
5
5
0
0
0
4
0
16
0
0
0
0
4
4
0
16
4
4
0
4
20
20
16
0
10
0
0
8
0
0
4
8
0
16
16
16
0
0
4
0
8
8
0
0
8
8
8
9
4
0
9
8
0
0
4
4
4
4
4
0
28
16
16
0
16
16
0
0
0
0
0
24
0
8
8
8
25
25
8
8
8
4
2
2
0
0
0
0
24
8
0
0
0
0
1
8
0
0
0
4
16
0
4
0
16
0
0
0
2
16
16
8
8
0
8
16
20
16
0
24
32
16
0
0
0
32
32
32
32
0
26
16
0
8
8
8
0
0
0
2
8
8
8
0
0
0
8
24
8
8
0
0
0
0
0
0
12
8
8
2
2
4
4
16
16
0
8
0
24
0
0
0
0
0
0
24
0
0
0
0
40
0
0
0
0
0
0
16
8
8
8
4
4
44
8
8
0
0
2
0
1
24
0
8
8
0
0
0
0
32
32
0
16
0
8
8
8
8
2
0
36
36
18
16
1
1
2
2
3
16
8
8
8
8
16
8
0
16
0
0
0
0
0
0
0
0
1
0
0
0
16
16
16
0
0
0
55
35
0
0
24
8
17
16
16
16
16
0
0
0
0
8
8
8
0
24
16
16
16
0
8
8
16
16
24
24
0
0
0
0
8
16
16
24
24
24
0
4
0
20
20
24
8
0
0
0
0
17
0
0
0
8
16
0
0
0
0
0
0
0
0
4
0
0
8
37
8
0
0
1
0
16
16
16
0
33
0
0
0
8
16
16
0
0
16
16
40
40
0
8
8
8
8
8
8
8
16
0
0
0
0
16
16
0
24
24
24
16
2
8
8
8
0
0
8
0
0
0
16
16
0
0
8
8
8
8
8
0
0
0
0
0
12
2
0
16
24
0
0
16
8
0
0
2
24
16
16
0
32
8
8
8
25
0
8
4
0
8
8
8
0
8
0
17
4
0
0
8
0
2
2
0
16
0
8
0
8
0
0
8
8
8
1
1
0
0
8
8
8
8
8
8
0
0
0
8
8
48
48
2
1
0
0
0
0
24
0
0
0
32
0
8
8
8
8
16
16
0
0
0
4
4
0
0
16
2
0
0
0
16
16
24
0
0
0
10
10
2
0
16
16
16
0
0
32
2
2
0
0
0
0
0
8
8
0
0
2
2
8
24
24
20
20
0
0
8
0
12
8
0
0
8
8
8
8
8
32
0
16
0
1
1
8
8
1
1
20
4
0
0
0
0
0
0
8
0
0
0
0
0
24
0
4
0
8
4
0
18
18
0
0
5
5
9
9
0
0
0
1
24
8
24
8
8
0
0
2
0
0
8
8
8
0
0
0
0
0
32
16
16
0
0
4
0
0
16
1
0
32
8
18
2
16
8
8
0
8
8
4
4
1
0
16
0
0
16
0
0
8
8
8
8
8
4
4
4
4
24
0
0
8
8
16
0
0
24
0
0
0
8
8
8
0
0
0
0
0
16
0
0
0
0
0
0
8
8
8
8
0
0
0
0
1
1
1
8
0
0
0
0
0
16
16
2
2
8
16
16
24
0
4
4
4
0
0
4
8
8
16
16
37
37
37
0
0
1
0
0
0
0
4
4
0
8
8
9
0
0
0
1
1
0
0
16
17
24
0
0
8
25
0
0
0
8
8
8
0
0
26
2
2
12
12
8
8
8
8
0
20
0
0
8
8
8
8
8
4
24
16
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
8
0
0
16
0
0
0
0
16
16
1
1
1
1
20
20
0
17
17
17
0
0
2
2
0
8
8
0
16
16
16
16
16
16
16
16
0
0
8
8
12
4
4
1
17
1
16
0
3
8
8
16
4
8
16
0
0
0
4
0
0
0
0
0
0
8
0
8
8
16
3
0
0
0
0
8
17
8
8
8
8
8
8
0
8
8
0
0
8
16
8
0
0
0
0
0
0
0
0
28
16
16
16
8
0
0
8
8
8
8
8
49
14
15
1
0
4
16
0
8
16
0
16
8
8
2
0
0
0
0
0
0
0
0
8
0
0
8
4
0
0
0
2
2
0
0
2
2
1
0
24
0
8
8
32
56
1
0
0
0
20
0
0
4
4
4
8
0
0
8
34
2
8
0
0
0
0
8
8
4
4
4
8
0
10
16
16
16
1
32
26
26
8
0
0
0
0
0
0
1
8
20
16
0
22
16
0
8
8
22
0
4
0
8
8
0
8
18
16
16
0
0
8
8
8
0
1
16
16
0
0
0
16
6
0
13
0
0
0
8
8
8
0
0
0
0
0
0
8
1
1
4
0
0
8
32
32
0
5
4
8
8
36
36
0
0
4
0
4
8
8
0
4
0
0
0
0
0
0
8
8
2
3
6
0
0
8
8
8
8
2
2
2
2
2
0
16
16
0
0
0
0
0
0
4
4
0
0
0
0
0
0
16
16
0
0
0
32
0
0
16
16
23
23
23
0
20
16
16
16
0
1
2
0
0
0
4
28
0
0
0
8
0
0
0
0
0
5
5
32
32
32
32
8
8
8
7
2
2
0
0
8
16
16
8
1
9
8
0
8
8
8
8
8
0
16
0
4
4
16
0
0
20
0
1
16
0
0
8
4
0
0
0
0
8
8
8
0
8
4
17
24
24
0
4
0
0
0
2
0
0
0
0
0
16
16
16
0
1
1
1
1
20
20
4
0
0
16
0
0
0
0
0
0
16
0
0
8
8
8
8
0
0
0
16
16
2
2
8
8
0
0
0
0
8
16
4
4
4
8
8
8
8
8
8
0
8
8
0
0
16
8
16
16
2
40
32
16
16
0
0
8
1
0
8
16
0
0
0
16
16
0
16
0
8
8
20
0
0
4
4
0
0
0
0
0
0
0
4
4
4
0
0
8
8
8
0
0
0
0
0
16
16
16
0
0
0
0
1
1
1
0
0
0
0
0
32
0
1
0
0
0
8
0
0
0
0
0
8
0
2
0
0
0
8
8
8
8
8
4
4
0
2
10
2
49
1
0
0
8
0
8
8
8
0
0
32
32
0
16
16
0
0
0
0
8
0
4
4
0
0
0
0
0
24
0
0
0
2
2
16
16
1
1
0
0
8
5
5
8
0
0
0
8
8
8
8
16
16
10
4
0
3
8
16
16
16
0
0
0
8
6
4
0
24
24
0
0
8
8
0
8
0
0
0
19
8
8
8
9
4
8
8
8
8
0
0
48
0
0
0
4
17
1
6
8
24
1
16
4
4
0
16
16
16
8
8
0
18
8
0
8
0
8
8
0
16
16
0
0
8
8
8
8
0
0
8
0
0
0
0
0
0
8
8
1
8
8
8
0
22
0
0
24
48
4
4
8
17
0
0
0
8
8
16
2
1
1
8
0
8
8
32
0
16
0
8
28
28
28
28
0
0
8
0
0
0
0
0
24
16
16
0
0
8
24
24
8
16
8
8
0
4
0
0
0
0
0
0
8
8
2
2
2
2
0
1
10
10
1
1
8
8
8
8
8
8
8
0
0
16
1
16
1
1
8
16
16
8
16
16
8
8
16
16
16
8
8
8
8
8
4
4
4
0
2
0
0
16
50
16
16
8
0
4
8
4
8
25
9
1
0
0
16
16
8
8
0
0
0
0
8
0
0
0
0
0
0
0
4
0
0
0
0
0
0
9
8
0
1
1
1
1
0
8
8
0
0
8
4
16
16
8
8
8
8
8
8
8
0
0
16
16
16
16
18
10
0
0
0
0
16
8
8
0
0
0
16
16
16
16
8
0
0
0
1
20
20
0
0
8
8
8
0
8
0
0
1
4
4
0
0
16
0
16
0
0
16
16
0
0
0
18
0
8
8
1
16
16
2
8
8
0
0
16
8
0
0
8
8
28
28
28
16
4
4
20
0
0
8
8
8
0
0
0
0
16
24
24
16
16
0
2
4
16
16
2
0
0
0
16
0
16
32
16
8
0
0
0
0
0
8
8
8
8
0
0
16
16
12
8
24
0
0
4
16
6
0
1
0
2
8
24
8
8
20
20
0
16
0
4
4
17
33
8
0
0
0
0
8
8
8
0
8
2
8
0
0
4
2
2
2
2
2
0
0
0
0
0
4
0
16
18
18
1
8
1
0
16
8
8
24
0
28
0
16
0
2
16
0
0
8
27
8
0
0
0
0
0
16
16
16
16
16
0
0
8
0
0
0
0
0
2
0
0
0
2
17
0
0
37
8
0
16
16
0
0
0
0
2
2
0
0
16
16
16
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
8
8
8
0
0
1
1
13
0
0
0
8
8
8
0
8
8
4
4
24
4
8
16
23
8
0
0
0
4
8
4
4
0
0
16
0
8
0
0
0
4
20
0
16
16
0
8
8
8
0
0
0
4
4
0
2
2
16
0
0
25
0
0
0
8
8
0
16
0
0
8
4
16
16
16
32
32
8
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
2
2
16
32
0
0
24
0
0
2
2
2
2
0
8
8
8
4
4
8
4
4
4
4
8
0
0
0
0
8
4
4
4
0
0
0
0
4
4
0
0
0
0
8
0
0
0
0
0
2
0
32
32
16
20
20
20
0
0
16
1
1
16
0
0
16
16
16
0
8
0
0
24
26
0
8
0
0
0
0
0
8
8
8
4
16
0
0
0
0
8
8
8
8
4
0
0
2
24
8
8
0
1
8
8
0
8
8
8
0
0
8
0
4
4
0
8
3
7
16
0
0
0
2
2
8
16
0
2
16
2
0
0
0
0
0
8
8
0
24
24
8
16
16
16
0
8
0
0
4
4
0
4
0
0
0
1
2
0
0
33
12
16
0
0
0
8
8
8
1
1
1
4
16
0
0
0
8
4
4
4
3
16
0
0
0
0
3
16
16
16
16
1
0
0
8
8
0
0
41
41
4
16
8
8
0
0
8
0
0
0
0
0
8
16
16
16
16
0
0
16
0
0
28
8
2
1
8
0
0
0
0
0
0
0
0
0
0
0
0
16
1
1
1
1
1
39
0
0
0
24
8
2
8
4
16
1
8
8
0
0
0
6
0
0
4
1
1
4
8
0
0
0
0
0
1
0
2
20
0
0
16
0
0
8
8
0
8
24
8
8
8
8
8
0
0
0
0
0
0
20
0
8
8
8
8
8
8
16
1
0
0
8
8
8
8
0
0
0
0
0
0
0
1
0
0
0
8
24
24
8
3
5
4
2
4
20
4
4
4
8
21
20
8
8
16
0
1
1
0
0
0
0
4
0
0
4
4
0
0
24
24
24
24
1
1
1
8
8
8
0
0
0
0
0
0
0
28
16
0
0
0
0
0
0
0
0
0
0
0
8
24
0
8
8
16
16
16
0
0
2
0
0
0
0
8
16
16
16
0
0
0
8
0
0
0
0
16
16
16
16
0
0
8
16
8
16
4
4
4
4
16
0
0
0
8
8
8
24
24
4
4
0
0
0
0
8
8
24
8
8
8
16
32
0
0
16
16
0
2
10
2
2
2
0
0
0
8
0
16
0
0
0
8
1
16
16
16
16
4
0
0
0
8
0
0
0
0
0
8
8
8
0
0
0
7
7
0
0
0
4
0
0
0
0
0
4
8
16
8
1
8
0
0
9
8
0
8
24
16
37
0
0
8
8
0
0
0
16
0
1
1
1
8
0
0
0
0
0
2
8
0
4
4
4
4
0
0
0
0
0
20
20
20
16
16
16
0
8
2
16
16
16
0
1
8
0
0
0
8
8
20
8
8
8
16
16
16
4
4
12
8
0
0
0
0
0
0
0
0
0
12
0
0
1
0
21
0
0
8
8
16
0
0
16
0
0
0
0
0
2
16
0
4
4
4
0
8
0
0
0
0
0
4
32
8
16
0
16
24
8
8
0
0
8
2
2
0
0
0
0
0
0
0
0
8
8
8
8
0
16
16
0
4
4
0
0
0
0
0
0
0
0
0
0
0
1
1
0
24
26
0
2
4
4
16
16
16
16
1
1
0
2
0
0
0
8
0
34
8
41
41
1
16
0
0
0
0
0
0
8
0
8
1
8
8
16
0
8
8
8
0
0
0
0
0
0
4
4
4
4
0
0
0
0
8
8
8
1
20
20
0
16
4
4
0
4
0
0
0
0
16
8
0
0
0
5
5
0
0
0
8
0
16
24
0
16
16
8
8
8
8
8
16
16
0
0
0
0
8
0
8
8
4
4
8
16
0
2
2
8
8
8
8
8
0
1
2
2
2
0
1
8
24
24
24
8
0
8
2
8
8
0
8
20
4
0
0
0
22
22
22
16
0
0
0
4
0
16
16
10
10
0
0
0
0
0
4
14
4
16
16
16
16
16
16
8
0
5
8
8
28
0
2
2
2
2
8
16
16
0
2
2
2
2
2
2
8
0
0
0
16
21
16
16
16
16
2
4
4
8
2
2
16
16
0
0
4
4
4
0
8
48
6
0
8
8
8
2
2
8
8
8
16
1
8
8
8
8
4
0
0
8
8
0
8
8
8
0
8
8
8
0
0
8
0
0
0
8
36
8
8
23
16
0
16
16
0
0
8
0
0
0
1
0
0
0
0
0
4
2
8
8
0
8
8
8
2
2
16
0
0
0
16
16
0
16
16
8
8
0
0
16
0
0
0
0
0
4
1
16
0
14
14
0
8
16
16
24
1
8
8
8
8
8
8
16
16
16
0
0
0
8
0
8
1
1
0
0
0
0
8
10
0
4
8
8
2
16
16
0
0
8
8
8
8
2
0
40
8
16
8
8
0
0
0
0
8
8
8
0
0
8
1
1
4
8
1
0
24
24
0
20
4
4
12
4
16
16
28
1
1
8
8
1
1
0
0
0
0
23
16
16
0
8
0
0
14
16
0
0
0
8
8
7
14
12
0
10
8
2
2
2
16
0
0
0
0
8
4
4
8
8
6
18
2
2
4
4
0
0
0
18
4
4
0
4
20
0
0
0
0
20
20
0
16
0
0
0
0
0
0
0
0
4
16
16
4
16
16
4
4
4
4
4
0
0
0
0
0
0
12
0
0
0
0
8
1
1
0
0
0
0
0
16
16
32
34
0
17
20
0
0
0
0
4
4
4
0
0
16
16
16
1
16
16
18
18
2
2
2
2
2
2
0
0
0
0
0
17
1
0
0
16
16
8
0
4
4
2
4
8
16
16
16
16
8
8
8
0
0
16
1
0
20
8
2
2
32
0
44
0
0
0
0
0
8
24
0
0
4
4
4
16
16
16
0
0
16
0
0
20
0
8
8
8
24
24
0
4
4
0
0
16
16
0
8
16
24
24
0
4
4
8
26
24
16
16
16
9
1
1
1
1
24
24
24
24
24
32
4
4
4
21
0
8
8
8
0
0
0
0
0
0
0
0
8
8
8
16
0
4
4
4
4
16
16
0
0
17
8
8
24
0
0
16
8
0
19
19
0
0
0
0
0
0
0
5
26
22
20
16
8
0
0
33
33
0
0
16
4
0
0
21
0
0
2
16
0
20
8
24
8
16
0
8
16
16
8
0
16
16
0
0
0
0
0
4
20
8
8
8
0
8
8
8
8
8
8
8
0
0
0
0
0
24
24
1
16
8
0
16
16
0
8
8
8
8
4
8
8
16
6
6
0
8
8
8
4
4
8
0
0
8
8
0
0
0
0
0
4
16
0
3
1
0
16
0
8
8
0
0
0
0
16
4
4
8
8
8
2
0
0
0
0
0
0
0
16
16
16
16
0
8
8
4
8
12
0
10
1
1
1
16
16
24
4
0
16
8
40
4
45
4
0
2
2
0
10
0
0
17
36
36
0
0
0
1
16
0
4
8
18
0
0
0
25
8
8
8
8
0
0
0
20
32
16
16
16
16
32
0
0
1
1
16
16
8
0
0
0
0
1
0
8
0
13
0
0
16
0
0
16
32
32
32
0
0
0
4
0
12
12
0
0
0
8
8
8
8
8
0
0
18
0
2
0
0
0
0
0
0
0
12
24
18
18
18
2
2
0
0
0
0
0
8
4
0
8
16
4
0
8
12
8
8
8
0
0
0
0
0
0
4
0
0
0
12
12
0
8
8
2
8
8
8
16
0
0
16
16
16
16
8
24
24
24
2
0
0
0
24
16
16
16
16
16
16
16
16
16
0
4
4
16
0
8
8
8
8
8
24
8
0
0
8
32
32
32
2
2
2
16
16
0
0
0
0
25
16
16
16
8
16
16
16
0
0
0
8
16
0
0
0
0
0
0
0
0
4
4
4
4
0
0
0
26
26
2
0
0
8
0
0
0
8
8
8
8
8
20
8
8
0
20
0
0
0
4
16
16
8
1
1
8
8
8
0
0
8
8
0
8
0
0
8
8
8
8
8
8
8
16
0
16
4
12
4
4
0
0
0
0
20
8
8
8
8
8
8
8
0
16
0
0
0
0
0
16
16
16
0
20
16
4
0
2
2
4
0
0
0
0
0
0
0
1
1
8
16
0
0
4
0
0
0
0
0
8
1
1
1
1
9
9
9
18
18
24
24
0
0
0
16
0
8
8
4
0
0
16
0
0
1
13
13
0
0
0
0
0
0
4
8
8
0
0
8
4
4
0
0
0
8
8
31
0
8
1
16
25
0
0
8
8
0
0
0
0
0
0
16
16
8
8
8
2
4
8
0
16
16
24
24
0
0
0
0
0
0
0
0
0
0
16
6
2
0
17
17
4
4
4
0
0
0
0
8
8
16
0
2
8
0
32
32
4
4
0
0
0
0
4
8
0
8
8
8
8
0
0
2
2
2
0
0
0
0
0
0
8
8
4
4
16
8
21
8
8
2
2
2
2
0
0
8
2
0
4
8
0
16
20
0
16
0
0
0
2
1
16
0
2
2
0
0
1
0
0
8
8
0
0
0
16
16
16
0
4
4
4
4
0
0
0
0
16
16
16
0
0
2
16
16
0
0
0
0
0
16
8
0
16
0
1
4
2
6
8
0
16
18
8
0
0
1
8
4
4
0
0
22
6
42
0
0
8
8
7
7
0
8
0
16
16
16
16
0
0
8
8
8
8
8
0
48
16
4
12
0
4
4
4
36
8
16
16
16
4
0
0
16
16
8
0
0
0
0
0
20
0
8
20
0
0
0
0
0
0
0
12
12
8
4
0
0
0
0
4
6
4
0
0
0
8
8
0
4
12
0
0
0
0
0
24
0
0
8
8
0
0
8
0
0
0
0
0
8
8
8
8
0
2
0
0
4
4
4
0
12
8
8
8
0
2
10
0
0
0
8
8
8
0
0
8
0
0
8
8
8
8
0
48
1
0
0
0
20
20
1
1
2
2
0
0
8
0
0
16
16
0
4
0
0
0
8
0
0
0
0
8
22
0
8
24
1
0
14
6
8
17
4
4
4
16
0
0
0
0
40
40
4
4
4
0
0
0
0
24
0
16
16
8
1
1
1
25
25
0
0
0
0
8
8
0
0
0
0
16
16
16
1
1
8
8
8
2
9
1
8
12
0
17
0
0
0
32
32
24
0
9
8
1
4
4
0
0
8
8
0
0
0
0
0
10
10
20
16
8
8
8
8
8
8
8
8
0
0
8
8
8
8
8
8
16
16
0
24
8
8
2
8
8
0
16
16
0
0
0
24
16
0
2
2
2
0
0
1
1
0
16
8
0
0
0
0
16
16
16
16
8
0
0
8
16
16
16
8
25
25
0
0
0
0
4
4
32
32
32
32
0
0
0
0
0
8
8
16
8
8
32
4
0
0
1
8
1
1
1
8
0
4
0
8
20
4
4
8
8
8
0
16
8
0
8
8
8
8
0
0
0
0
0
18
18
18
0
8
2
0
8
8
8
8
16
16
8
0
8
8
0
0
0
16
0
0
2
33
8
0
0
8
4
4
0
0
0
0
0
16
16
1
32
32
16
0
0
8
8
8
0
60
0
0
0
0
0
0
8
8
16
16
0
0
8
8
2
2
37
37
16
0
0
0
0
40
40
0
0
8
8
8
4
0
0
0
0
0
16
16
16
24
16
16
0
0
4
4
4
4
4
4
16
8
8
8
0
0
24
8
8
8
4
8
8
8
0
0
0
4
4
0
0
8
24
8
0
0
0
8
8
8
8
8
8
0
0
2
2
0
0
0
0
17
2
2
2
2
0
0
18
4
6
8
8
24
0
0
32
0
0
20
8
0
8
8
16
16
8
2
8
8
8
8
8
8
8
2
2
0
8
6
6
0
0
8
8
8
0
0
1
16
16
48
0
4
4
0
0
12
24
0
8
8
2
0
28
8
8
0
0
0
0
0
16
4
4
16
16
0
1
4
4
8
8
0
0
0
0
0
8
8
8
0
8
16
16
0
4
0
4
4
8
0
8
4
0
5
4
4
0
16
16
16
0
16
16
8
8
0
0
0
16
16
16
16
16
8
8
8
0
20
20
24
24
24
0
8
8
8
8
8
8
8
24
16
16
16
4
0
8
0
2
2
0
32
0
16
12
0
8
32
0
0
0
0
0
0
0
0
16
0
0
0
8
8
8
0
0
32
48
0
0
8
8
8
0
0
0
8
8
8
0
8
16
8
16
16
16
4
0
0
8
0
0
13
0
4
4
6
6
6
0
0
0
32
4
4
0
0
8
8
4
4
0
8
0
0
0
0
0
0
0
8
34
0
20
0
32
0
0
0
8
0
0
0
4
4
0
8
2
2
4
34
34
0
0
0
0
0
16
0
8
0
8
0
0
0
8
8
8
8
1
0
1
0
0
8
8
8
0
0
8
8
8
0
0
0
16
8
8
0
8
8
8
8
8
0
0
0
0
0
24
24
16
8
8
8
0
0
34
21
0
0
0
20
0
16
0
16
8
2
16
0
59
59
1
1
0
16
8
0
8
8
0
0
24
0
0
0
0
16
16
24
0
12
0
0
16
17
0
0
12
12
4
4
4
16
1
1
0
16
16
16
24
16
2
1
1
1
1
0
0
16
0
8
8
8
8
8
14
6
4
4
8
0
4
0
0
12
0
2
2
1
1
4
32
0
16
0
0
0
0
0
0
0
0
8
8
0
8
16
16
16
1
8
8
8
0
16
16
16
8
12
16
16
0
0
26
0
0
0
0
0
0
1
1
0
0
8
0
0
0
0
0
16
16
18
0
2
2
2
24
0
8
25
25
25
0
0
16
2
8
8
0
48
48
8
8
0
0
0
0
8
0
8
8
24
0
8
8
0
0
4
0
8
8
0
0
0
21
21
21
8
24
26
0
2
0
0
0
2
16
0
4
0
32
32
32
32
32
0
16
16
0
0
0
0
0
16
0
1
0
36
0
8
48
0
0
16
16
0
0
8
1
1
8
0
8
8
8
8
0
16
16
4
0
0
0
0
0
0
0
8
0
16
16
16
1
1
1
8
0
8
0
16
0
8
0
0
16
0
32
0
8
8
8
18
0
0
16
16
1
2
0
0
0
8
0
0
0
0
12
8
16
16
0
8
8
8
8
0
0
0
0
0
0
2
8
12
8
8
8
4
0
0
0
0
8
8
8
0
0
0
16
16
16
16
22
0
0
16
2
2
1
1
16
14
28
0
0
0
0
20
28
20
8
0
8
8
0
0
24
0
0
36
20
20
0
6
32
6
0
0
0
0
16
16
16
16
16
16
16
8
8
0
4
4
0
0
8
4
4
4
16
0
0
0
0
56
0
1
1
1
4
0
0
16
16
16
0
16
0
0
48
48
0
0
0
8
3
0
16
0
0
0
0
8
8
0
16
16
21
4
20
0
0
0
0
0
2
2
0
0
16
16
0
10
32
32
1
1
4
3
3
3
0
0
16
16
32
6
0
0
0
8
0
0
0
0
16
0
0
32
32
32
0
26
32
32
0
1
0
0
0
0
0
0
16
8
0
0
8
0
0
0
24
0
0
0
0
0
0
0
0
0
0
8
8
8
8
16
16
16
0
1
20
20
20
0
8
8
8
8
0
0
16
16
16
8
8
8
8
8
0
28
16
16
8
8
0
10
0
2
2
0
0
0
8
8
8
0
0
0
16
0
16
0
8
4
4
8
8
8
8
8
0
2
0
0
2
2
2
17
16
8
8
8
8
8
2
0
0
12
8
8
8
8
4
4
4
24
8
0
18
0
8
8
8
0
0
18
8
4
20
0
16
16
16
25
25
8
1
17
16
1
1
8
8
8
8
0
0
8
8
8
8
4
0
8
8
8
8
0
24
8
8
0
8
8
1
24
24
16
16
16
18
18
18
24
24
24
24
0
8
8
8
8
4
16
4
0
16
0
8
16
1
1
1
0
8
0
8
0
18
16
8
8
0
1
0
0
0
0
0
8
8
8
0
0
0
0
0
0
2
2
16
16
16
16
4
0
2
2
2
8
1
1
0
0
0
8
1
0
0
0
0
2
8
8
8
8
22
30
16
2
0
14
8
8
8
0
0
0
4
0
16
16
8
8
0
0
0
0
0
14
24
24
0
8
8
8
16
0
8
0
8
0
0
4
8
8
8
0
0
0
8
16
16
16
16
0
1
1
16
16
0
0
0
4
5
0
8
8
8
0
0
0
0
8
0
48
8
16
0
0
8
0
2
2
0
18
16
16
16
2
16
16
16
16
8
8
0
0
0
0
8
0
0
2
0
0
0
0
0
2
2
2
8
0
0
0
0
8
0
0
0
0
8
8
8
8
8
0
0
0
8
8
20
20
20
0
0
8
8
8
0
0
26
30
0
0
16
0
8
2
2
8
0
0
8
8
8
0
5
32
32
0
0
0
0
0
8
16
4
12
2
0
0
2
2
0
8
0
0
0
8
8
0
8
0
8
0
8
0
24
0
16
16
16
8
0
8
8
0
8
8
0
0
0
2
0
16
1
1
1
0
9
9
9
0
16
0
16
0
24
24
8
8
8
20
0
0
0
0
16
16
0
8
17
17
0
0
5
18
0
6
8
1
1
1
20
10
2
0
16
8
8
16
16
0
0
8
8
16
16
0
16
0
0
2
2
8
8
8
4
16
8
8
0
0
24
8
16
0
8
0
12
12
16
8
8
8
27
2
0
0
4
16
16
16
8
8
8
8
0
0
0
8
0
16
8
0
16
0
0
0
4
8
1
0
8
1
0
16
16
0
26
26
16
16
8
8
8
20
8
16
24
0
0
16
8
8
8
8
0
0
8
10
0
8
16
0
0
0
4
8
8
24
4
4
4
4
4
16
0
2
8
8
1
0
0
8
8
8
8
8
4
8
16
0
0
13
0
16
16
16
0
20
2
0
0
0
0
0
0
0
8
8
8
8
16
0
0
0
0
8
8
8
2
2
2
1
8
16
0
4
4
4
2
0
3
0
8
8
8
8
8
31
8
32
32
0
12
12
0
0
8
8
8
0
0
0
0
0
8
56
8
8
0
0
8
8
8
16
24
0
8
8
8
8
1
1
2
2
0
12
8
0
4
4
4
3
1
35
35
0
1
0
8
8
0
16
16
0
8
8
16
0
0
0
16
8
8
0
16
0
0
2
0
8
16
0
1
1
4
4
24
24
1
2
2
2
2
24
8
8
0
16
16
16
16
0
8
0
24
24
24
0
0
0
0
16
16
0
8
2
0
0
8
0
0
8
14
8
8
0
0
0
18
18
0
0
8
16
6
40
40
40
40
0
0
8
8
0
0
1
0
8
8
8
16
8
8
8
0
10
10
12
8
8
0
0
1
10
0
8
4
0
1
1
16
8
0
0
0
0
1
8
3
24
24
4
4
4
4
0
16
8
0
0
4
4
0
0
16
8
8
16
0
8
8
0
8
8
8
16
16
20
20
20
1
1
8
8
8
8
8
9
9
9
9
0
32
8
8
8
8
8
8
8
8
0
0
0
2
2
2
8
16
4
4
34
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
16
16
17
1
16
49
0
2
2
4
41
16
16
32
32
32
48
8
8
0
3
3
0
0
0
0
4
8
8
4
4
0
0
0
16
8
0
0
0
0
0
0
18
18
8
8
0
20
0
16
0
0
32
32
32
32
0
0
24
8
0
0
0
16
16
2
2
16
8
8
4
4
0
1
0
0
0
0
0
8
4
4
4
4
0
8
8
0
16
0
16
8
8
8
0
8
8
0
0
0
8
8
0
0
0
8
8
0
24
8
8
0
16
0
0
0
0
4
8
8
8
8
8
4
8
8
1
4
4
0
0
0
24
12
13
52
52
20
0
8
8
0
0
0
8
8
8
17
0
2
2
16
16
2
2
0
0
1
0
16
0
16
16
16
40
40
0
4
12
4
2
4
8
8
24
16
16
8
8
0
16
8
8
8
8
0
16
16
4
8
8
0
0
0
0
0
0
16
0
8
0
0
8
8
8
8
8
32
26
26
8
8
8
8
8
16
16
8
0
0
4
5
5
16
0
0
1
1
0
0
0
0
0
8
8
0
0
16
24
16
0
1
0
2
16
0
1
0
0
0
0
0
1
2
8
2
2
8
8
8
16
16
16
0
59
59
59
0
16
8
16
16
16
0
8
8
8
16
0
0
0
8
8
8
8
8
8
0
16
0
12
0
0
16
8
8
0
0
0
8
0
0
0
16
8
24
6
16
0
0
12
1
0
8
16
0
0
0
0
8
0
2
2
0
0
8
8
8
8
8
8
14
8
8
0
16
0
0
0
40
0
4
24
8
0
4
8
8
8
8
16
0
0
0
0
1
1
1
8
8
0
0
0
0
32
0
8
8
0
0
9
9
0
0
24
24
0
28
4
1
1
0
0
0
0
0
0
0
0
16
0
0
2
16
17
16
16
8
8
0
16
0
16
16
0
16
0
0
0
0
8
8
43
43
0
0
0
0
14
32
26
1
8
16
8
6
0
0
16
0
8
8
8
8
8
0
4
4
8
0
8
8
0
0
0
0
0
2
2
2
34
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
8
8
0
0
16
0
0
4
4
12
38
4
26
24
24
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
18
34
34
8
0
0
16
16
4
4
4
2
2
2
0
0
0
0
0
59
59
0
1
1
0
0
21
0
0
0
2
2
2
4
4
0
4
6
0
4
12
12
0
0
8
8
8
36
8
0
0
0
0
0
0
0
8
8
0
4
4
1
1
1
1
1
1
1
1
1
0
0
0
0
16
0
0
16
16
5
4
4
4
0
1
1
0
0
0
0
0
8
8
8
24
0
17
17
8
2
0
0
0
0
0
0
0
8
2
1
0
16
16
0
16
16
16
8
0
8
0
0
8
40
0
8
0
0
0
8
24
24
8
8
8
0
0
0
0
20
20
0
20
20
8
2
2
0
0
8
8
0
0
8
8
8
0
0
0
0
0
4
0
0
16
16
2
8
0
0
0
0
0
4
8
8
16
6
2
0
8
8
1
16
0
0
5
5
0
16
16
16
16
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
0
8
0
0
16
16
16
8
8
22
22
0
16
0
0
0
0
0
8
8
8
8
8
8
14
0
0
24
2
0
0
0
0
32
32
0
4
0
0
8
8
48
0
0
0
0
0
0
8
8
8
8
8
8
0
8
16
16
0
8
0
0
0
0
8
16
0
22
6
0
0
8
1
0
24
24
16
0
0
16
16
0
0
2
2
2
16
16
0
0
0
1
8
16
16
0
2
2
2
8
8
2
32
0
0
0
2
8
8
4
0
0
0
0
8
0
1
0
0
4
4
0
32
0
0
0
0
0
0
0
4
8
24
1
0
25
25
8
0
16
8
16
16
16
16
0
0
0
0
1
1
0
8
8
0
8
0
40
40
40
56
56
8
16
0
0
0
0
0
8
16
16
2
2
2
0
3
0
0
16
16
0
0
0
0
0
0
25
8
0
0
0
2
2
2
0
4
4
13
0
24
16
16
0
8
8
0
0
0
8
1
2
2
8
8
8
8
0
0
0
0
0
16
0
8
1
32
32
0
0
4
4
4
0
2
0
12
0
16
16
16
16
33
32
16
4
4
4
0
16
2
8
8
8
0
0
0
16
8
8
8
8
8
0
4
0
16
0
0
0
0
16
4
8
0
0
0
0
1
0
0
0
0
0
0
16
16
16
16
0
0
0
10
0
16
20
8
8
8
8
0
0
0
0
47
47
4
4
4
0
0
8
1
0
0
8
4
8
0
8
28
8
0
40
0
0
0
8
8
8
0
0
0
0
0
16
32
32
0
0
0
16
8
8
8
8
16
49
0
11
0
0
8
0
2
2
2
2
2
16
8
0
0
0
12
8
0
0
0
8
8
0
8
0
0
0
8
8
0
0
8
8
0
30
0
2
2
1
0
0
0
0
0
0
0
0
1
1
33
33
0
0
4
16
18
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
16
8
16
0
4
4
34
0
0
0
0
4
4
4
4
0
1
16
2
0
8
8
8
8
24
16
16
16
24
24
24
0
0
16
16
16
0
0
1
1
0
8
0
0
0
0
0
4
4
8
8
8
2
2
0
0
0
8
8
0
1
0
0
8
0
8
8
8
8
8
8
0
8
0
12
0
8
8
8
16
16
16
16
0
0
0
8
8
8
8
8
0
0
0
2
40
0
8
16
4
8
8
8
8
8
0
0
0
0
8
8
24
16
16
0
0
8
8
1
1
0
0
16
0
16
0
33
0
16
16
2
8
0
16
16
0
0
0
8
4
20
0
0
0
0
4
4
8
16
16
8
8
8
0
8
8
8
8
8
0
0
0
1
1
1
1
0
0
0
0
2
28
0
0
0
0
4
8
16
16
12
8
0
16
0
40
0
8
0
0
0
0
0
0
8
4
8
16
0
8
8
8
0
8
8
8
40
0
0
0
2
6
0
0
0
0
0
0
0
32
16
16
16
0
0
0
0
0
0
0
0
0
16
8
8
8
8
8
8
0
0
0
0
4
4
4
0
0
0
0
0
0
0
0
28
0
0
8
0
4
0
8
4
0
0
9
0
1
0
0
16
16
16
0
8
8
1
1
1
8
0
0
0
0
0
0
0
0
0
0
1
0
0
0
5
16
24
8
16
0
16
0
8
8
8
0
58
4
0
0
0
1
0
8
8
0
0
0
0
0
24
24
2
2
2
8
0
0
8
8
8
8
8
8
8
4
4
4
1
1
1
1
1
1
26
8
8
16
16
6
16
8
0
0
0
1
1
0
0
4
2
10
0
1
0
0
8
8
8
8
8
8
8
0
0
0
0
16
5
4
16
0
0
0
0
38
2
0
8
8
8
8
0
0
3
16
29
16
0
0
0
0
0
0
8
8
4
4
4
16
16
32
0
1
2
1
0
0
0
8
8
4
0
0
0
8
8
8
4
4
4
0
1
1
16
16
0
8
0
0
0
4
4
0
18
0
0
8
8
8
0
0
0
0
0
0
0
8
8
8
0
0
8
8
16
8
20
20
16
0
0
8
20
1
4
8
8
0
1
1
1
1
1
8
16
0
4
4
2
12
0
0
2
2
2
2
2
2
0
0
24
28
8
0
0
16
16
16
16
16
16
0
0
0
0
0
0
8
8
8
8
0
0
0
4
0
0
0
4
16
4
8
8
0
16
4
16
8
16
16
16
0
0
0
0
16
32
8
8
8
0
24
8
8
0
0
8
8
8
8
8
0
0
0
0
0
0
16
0
0
0
0
0
8
8
0
0
16
24
8
16
16
8
1
0
0
0
0
8
8
0
41
16
16
0
0
0
24
0
0
4
0
2
1
8
8
8
8
8
2
0
0
0
16
8
8
24
8
16
16
4
40
16
16
0
0
0
0
16
0
0
4
29
29
29
29
29
0
0
32
1
8
0
0
25
0
0
0
16
8
8
0
8
8
0
0
8
8
0
16
16
0
0
1
0
0
2
0
0
0
0
0
24
26
0
0
0
25
0
0
0
0
1
1
8
8
0
8
0
0
16
16
16
0
8
0
2
8
0
0
0
4
0
0
0
0
0
0
0
0
0
21
0
0
16
16
8
0
0
0
0
0
0
0
0
0
5
8
1
1
20
0
0
0
8
16
0
0
0
0
16
16
0
0
4
4
4
4
16
8
0
1
1
20
20
4
0
0
0
0
4
1
1
4
34
34
34
0
0
8
0
0
8
0
8
32
0
0
0
0
0
0
8
8
0
8
8
8
8
0
10
0
0
16
16
0
8
8
8
8
19
0
1
0
0
0
24
3
0
8
8
0
0
2
2
2
0
0
0
0
0
0
8
0
1
0
8
8
8
8
8
8
8
0
0
0
0
4
0
0
1
1
8
0
4
0
0
0
0
18
0
8
32
0
8
16
0
8
16
16
1
1
1
16
16
4
8
8
0
0
0
0
4
16
0
0
0
0
0
0
0
0
0
8
8
18
1
1
1
8
0
0
0
16
16
16
0
0
0
0
8
8
8
0
8
29
0
0
8
20
0
18
32
16
32
16
16
40
40
24
8
8
8
8
0
0
0
0
0
9
4
0
0
1
1
1
0
0
0
8
1
16
0
0
0
16
16
4
0
0
8
8
24
0
0
0
16
0
8
28
28
0
8
14
14
0
0
0
0
18
0
0
0
0
48
16
16
16
8
8
8
2
2
16
2
12
4
0
0
0
0
24
24
24
24
2
2
0
0
4
4
8
8
8
8
4
4
0
0
1
4
4
0
0
0
0
0
0
0
0
24
24
16
16
8
8
16
1
1
8
0
8
8
4
0
26
0
0
0
0
8
0
0
17
8
29
29
29
29
29
29
29
29
29
16
0
0
0
0
0
0
32
4
0
0
0
19
19
8
8
0
8
0
0
0
0
0
0
0
0
0
0
0
21
1
8
8
0
0
16
16
8
8
8
8
8
1
24
24
8
4
0
0
0
0
4
8
8
8
8
8
2
8
8
0
0
4
8
8
0
0
0
0
0
0
0
4
0
8
8
8
8
8
8
12
1
1
4
0
8
0
0
0
1
4
8
8
16
16
0
0
0
0
0
0
8
24
24
0
24
24
24
4
0
0
0
0
16
16
16
4
8
8
0
21
8
0
0
0
0
8
8
8
0
0
0
8
8
24
24
0
0
0
0
0
8
8
8
8
8
0
0
8
0
8
0
0
0
0
0
0
0
1
0
16
16
32
8
24
8
0
8
0
0
0
0
16
32
32
32
0
0
1
12
12
0
0
0
8
0
0
19
16
4
2
16
0
16
8
0
0
16
16
6
6
4
0
4
4
0
20
0
0
0
0
0
0
0
0
0
0
2
0
0
16
4
3
16
8
8
8
0
0
0
8
16
2
24
0
0
0
0
0
0
8
8
0
0
0
16
8
8
8
8
8
25
4
4
8
8
4
4
4
4
0
0
0
0
0
0
0
1
1
8
8
2
2
0
1
8
0
0
0
13
16
0
0
0
0
0
20
8
4
0
16
16
0
0
8
4
0
0
0
0
0
0
0
0
16
10
8
0
0
8
8
8
4
0
0
0
0
16
0
16
0
0
0
0
0
2
2
2
4
4
2
6
6
6
0
0
0
2
8
24
0
0
0
2
2
0
18
0
0
2
16
16
16
16
0
8
8
8
20
0
0
0
0
2
2
0
2
0
24
18
0
4
4
0
16
32
8
0
0
0
32
32
0
4
0
2
2
8
8
8
1
0
0
0
0
0
0
8
13
1
1
8
8
0
0
0
8
8
8
8
8
8
8
8
0
0
0
8
8
8
8
8
8
8
8
8
8
17
16
16
24
8
8
8
8
0
0
0
0
0
8
0
0
0
0
0
0
16
0
8
4
12
4
4
4
33
0
16
0
0
0
0
8
0
0
0
0
8
12
8
8
8
26
0
16
28
16
0
16
0
0
8
16
8
0
4
4
16
0
16
16
2
0
0
8
1
8
1
0
0
0
0
0
0
0
0
8
8
8
4
4
4
4
4
0
0
0
0
0
8
0
0
8
8
8
8
8
4
4
40
40
0
16
8
8
0
0
16
16
16
16
16
0
0
0
0
0
8
4
4
4
16
0
0
0
0
16
25
0
3
8
8
8
16
0
0
0
9
8
16
16
0
0
1
0
16
16
0
8
0
16
0
0
8
8
8
0
0
4
4
32
0
0
2
38
0
0
16
0
0
0
0
8
8
8
8
8
8
8
4
14
14
14
14
14
14
14
16
8
0
0
0
16
0
16
20
16
2
1
1
0
0
0
0
0
16
0
24
8
8
0
0
0
20
4
0
0
4
4
0
16
33
20
20
8
32
32
33
33
16
32
2
2
8
8
0
0
0
0
0
8
8
8
16
16
2
0
0
0
0
2
1
1
8
8
8
8
0
0
0
0
0
0
0
0
0
0
12
0
0
4
20
24
24
24
24
0
0
0
0
0
0
0
0
0
0
0
0
4
0
8
8
0
2
2
2
2
4
4
8
8
0
0
0
0
8
16
16
0
0
0
0
0
0
0
0
0
0
8
6
4
0
9
0
0
8
16
16
16
1
1
0
0
0
0
8
8
8
0
0
0
0
4
4
0
0
16
0
0
39
0
0
0
0
8
8
8
0
4
0
16
16
16
0
4
0
0
0
0
0
1
1
0
8
8
8
0
0
0
0
8
8
8
9
0
0
0
0
14
14
8
8
8
8
0
0
0
0
1
0
8
0
4
0
16
0
0
4
8
8
0
8
8
8
0
8
0
0
0
0
0
0
0
0
0
16
4
4
4
4
0
1
16
16
0
5
16
8
0
0
0
24
16
33
16
8
0
0
8
0
24
16
0
0
0
1
8
0
0
0
0
12
8
8
8
0
0
0
8
8
0
0
0
16
0
1
1
8
8
8
8
4
0
1
0
0
0
0
0
8
8
8
2
2
0
2
2
2
0
0
0
0
0
16
16
16
24
4
4
0
0
0
8
8
16
16
8
0
8
2
0
2
4
8
0
16
12
4
0
8
0
4
4
0
0
0
0
0
0
0
0
0
0
14
8
8
12
0
8
8
0
0
2
0
0
0
8
8
12
8
0
16
24
2
2
4
4
4
4
0
0
8
8
32
0
0
2
0
0
0
0
0
9
8
8
0
0
0
0
0
2
0
0
0
4
48
0
16
16
16
0
0
8
8
12
2
0
24
20
0
16
10
16
30
30
0
8
1
1
1
1
16
16
16
16
16
16
16
16
16
16
16
16
8
8
8
0
2
18
8
1
1
8
0
0
0
9
0
16
16
16
0
0
0
16
0
0
8
8
8
16
0
2
2
0
0
8
8
8
10
8
6
16
0
0
0
8
8
8
0
0
0
2
2
12
16
8
0
20
0
8
8
8
8
0
0
8
0
0
0
8
8
16
16
16
16
16
16
0
0
16
0
4
0
12
0
0
0
0
0
0
4
4
4
0
0
8
8
8
0
4
12
4
10
8
32
32
32
0
8
1
0
18
0
0
0
16
16
0
0
16
8
8
8
0
1
1
8
8
16
0
8
1
16
0
0
0
0
0
8
8
0
0
8
16
48
16
0
1
16
16
16
16
0
16
0
0
9
9
8
8
0
0
0
0
0
0
0
8
0
0
0
12
0
0
0
0
16
2
0
0
16
0
0
0
0
0
8
24
8
4
4
4
16
0
0
0
0
16
16
0
0
0
0
0
0
0
0
24
1
8
0
0
8
16
24
8
8
0
0
0
0
0
8
8
0
10
8
0
20
0
4
0
0
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
4
4
4
4
20
0
4
0
0
0
0
0
0
8
4
0
0
0
0
16
16
8
0
8
8
8
12
12
8
0
0
8
8
8
8
0
16
0
16
8
0
0
18
16
16
4
8
8
0
8
8
17
17
0
0
4
4
0
0
0
0
8
0
8
16
16
16
4
0
16
16
0
16
0
0
16
0
36
6
8
0
48
0
0
0
0
12
0
12
0
0
16
0
24
40
32
0
0
0
0
0
8
4
0
0
0
8
8
8
28
0
0
8
8
16
4
17
4
16
12
16
16
0
0
8
16
16
0
1
4
0
0
0
0
0
2
0
0
0
0
20
0
16
0
16
16
16
16
0
33
32
0
0
0
0
0
0
4
4
4
4
4
0
8
1
0
8
8
12
0
2
8
8
16
4
4
32
8
52
0
0
8
8
8
1
9
9
9
0
4
4
0
16
8
16
8
8
8
12
12
0
0
8
8
8
8
0
8
10
10
16
17
0
0
0
0
0
8
0
0
0
0
0
0
0
0
16
0
0
0
8
8
8
8
1
1
0
0
0
40
16
16
0
0
0
8
8
8
4
2
0
0
0
8
8
0
0
0
3
3
32
32
30
0
2
32
8
16
0
8
8
1
1
8
2
0
0
0
8
8
8
0
8
16
16
8
0
8
8
8
8
8
8
0
0
0
0
0
0
2
16
16
0
4
8
17
0
0
4
0
36
36
8
0
0
0
0
4
20
8
8
8
8
0
0
0
8
8
8
11
8
16
0
0
0
0
1
9
16
0
0
0
0
0
16
16
16
16
16
0
0
0
0
17
9
20
42
0
0
0
0
0
8
8
8
8
2
24
14
16
16
16
16
8
8
6
0
0
8
8
1
8
0
0
0
0
0
0
0
16
8
8
0
0
16
16
0
0
24
16
16
0
0
24
24
8
16
4
4
12
48
0
0
16
16
4
0
0
8
20
8
8
1
2
1
0
8
0
4
4
8
8
16
0
8
0
0
0
0
0
0
4
2
8
8
8
8
0
8
0
16
16
1
1
0
3
2
0
0
0
0
0
17
16
1
8
12
18
2
16
8
2
4
4
0
16
16
20
0
8
8
8
8
8
8
20
4
8
30
0
16
16
16
0
8
9
8
0
8
0
20
16
2
0
0
8
0
24
24
0
0
0
8
8
8
28
28
0
0
0
0
0
32
18
18
16
16
16
16
8
8
0
4
28
28
28
1
0
60
60
0
16
16
0
16
16
24
24
32
32
0
4
16
1
1
0
16
22
22
22
4
16
16
16
0
0
4
4
0
8
8
0
16
16
0
24
0
8
0
0
0
4
6
4
4
4
8
16
16
8
8
0
2
8
2
2
17
0
0
16
18
4
0
0
0
0
1
6
16
16
16
16
16
17
4
4
8
0
0
0
8
8
0
16
16
16
9
8
8
4
2
6
8
8
0
16
0
0
0
0
0
0
0
24
1
0
2
0
0
8
8
2
0
1
8
48
16
0
16
0
4
4
18
0
0
0
32
0
16
24
17
0
0
12
0
8
4
4
4
4
0
1
0
16
16
8
8
16
0
0
0
0
0
0
0
4
16
16
8
0
0
1
1
1
1
1
4
4
0
0
16
24
16
16
0
0
0
0
16
16
0
0
8
8
0
0
4
4
4
4
2
2
2
0
1
3
0
1
24
24
24
0
0
0
4
0
4
0
16
16
2
2
16
8
16
16
16
24
0
0
0
0
0
56
56
16
16
0
0
0
16
8
0
0
8
8
16
16
16
0
0
0
0
12
0
0
16
16
8
16
16
16
16
16
8
0
0
8
0
0
1
2
16
4
16
8
8
0
8
1
4
0
0
16
4
0
0
0
2
0
0
0
0
16
0
4
4
0
0
2
4
8
4
4
8
8
8
8
2
0
36
0
18
18
0
0
0
0
0
0
0
0
0
4
4
4
4
8
2
2
0
0
0
0
0
0
1
1
0
0
16
8
0
0
0
0
0
8
0
16
0
8
56
0
0
0
0
8
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
22
8
0
0
8
8
8
0
0
8
0
0
0
22
22
0
0
20
0
0
8
8
8
8
8
8
24
24
0
0
0
7
16
0
0
0
12
8
5
5
1
8
0
0
0
1
1
1
1
1
1
1
19
0
16
16
4
4
0
0
0
0
2
0
0
2
2
0
0
0
8
0
0
8
8
8
8
0
4
0
0
0
16
16
0
16
0
8
8
24
8
0
0
0
2
8
0
8
0
5
60
60
0
10
8
0
6
0
8
8
8
8
52
52
0
0
2
2
8
16
16
8
8
8
0
20
0
0
0
2
2
0
16
8
8
8
0
0
0
0
0
0
16
16
0
0
6
6
8
0
16
16
0
16
16
24
8
8
8
8
0
0
8
20
20
8
0
16
0
0
0
8
8
8
2
0
0
1
16
16
16
16
4
0
8
8
8
0
0
8
8
8
8
8
4
16
24
16
0
0
32
32
24
16
16
24
24
0
0
0
8
8
8
17
20
20
16
16
16
16
0
0
9
32
8
4
4
4
40
2
0
0
2
8
16
0
16
16
16
0
16
16
10
8
8
8
8
8
0
0
16
0
8
16
0
0
1
0
0
0
4
0
1
0
0
16
8
8
0
16
16
0
0
0
0
16
24
4
0
0
0
0
0
0
8
8
8
25
25
0
6
13
0
20
20
0
0
16
16
16
0
36
0
0
16
16
6
2
6
6
18
0
0
8
0
32
32
16
0
0
16
0
1
4
2
2
16
9
2
2
4
16
0
0
8
16
4
0
2
0
0
0
0
4
4
8
8
8
0
4
24
0
8
8
8
0
4
0
0
2
32
0
0
16
0
0
8
0
8
8
1
1
0
8
8
24
0
4
8
8
8
8
0
0
0
16
16
16
0
0
16
16
16
0
0
2
0
24
0
16
16
16
16
0
8
8
24
8
8
8
8
0
8
0
0
0
38
38
8
25
25
0
4
2
2
8
0
0
0
0
0
0
0
8
0
16
0
0
8
8
8
0
22
0
0
16
16
16
8
8
8
0
8
2
0
0
0
8
8
18
0
40
40
0
0
8
0
16
8
8
16
0
0
0
0
0
0
0
4
0
0
0
0
0
8
8
8
8
8
0
12
0
0
0
0
0
0
0
16
1
1
8
8
4
4
0
16
8
16
0
0
29
29
29
29
29
29
29
18
18
18
18
0
0
8
0
0
16
16
16
16
16
16
16
16
16
0
8
8
0
16
8
8
8
8
1
0
0
0
0
2
2
0
18
18
8
0
0
2
0
2
2
32
32
3
16
8
0
0
0
20
16
10
0
14
0
0
0
0
0
0
0
0
0
0
0
32
16
16
16
2
2
2
3
2
1
1
1
1
16
0
0
0
0
0
12
12
0
16
16
16
8
8
8
32
0
16
8
1
0
8
8
16
11
0
0
3
3
2
2
10
0
0
8
0
8
8
0
0
0
0
5
5
5
16
0
0
0
0
0
0
0
0
0
0
0
0
0
4
8
8
16
8
22
0
4
0
4
4
8
0
0
8
8
2
0
0
8
8
8
8
0
0
0
0
0
8
0
0
8
1
4
4
0
0
28
8
8
4
2
2
0
0
8
0
52
1
0
0
0
0
0
16
0
4
8
8
1
16
18
16
16
20
20
8
0
0
0
0
17
17
17
0
0
0
0
0
0
0
0
0
24
0
0
0
17
0
0
0
8
0
8
8
16
0
0
12
0
2
0
24
4
4
4
20
4
8
8
16
0
16
16
4
2
2
4
4
16
16
4
48
32
9
9
8
24
8
8
0
0
4
24
24
0
0
0
4
4
0
0
8
8
0
0
25
25
8
2
0
0
16
16
16
16
16
8
8
8
8
56
0
2
0
8
8
8
8
32
32
32
4
4
4
8
8
8
2
18
2
16
2
2
16
16
16
8
0
16
16
16
4
4
8
8
17
0
0
0
0
8
8
16
16
20
4
4
2
0
8
8
8
8
8
8
8
16
16
16
8
4
4
4
4
4
4
4
4
0
8
8
8
8
0
8
16
2
16
16
8
48
8
56
8
8
8
3
8
8
8
8
0
0
0
8
0
0
0
0
0
0
0
0
8
8
0
0
0
0
1
0
16
16
0
4
6
15
4
4
12
12
12
4
4
4
0
1
18
18
18
16
16
8
24
24
0
8
8
8
18
18
2
16
1
1
0
8
8
8
32
32
32
32
32
16
16
16
16
0
0
0
8
30
0
0
4
4
4
8
8
8
0
8
2
2
2
0
32
32
32
24
8
8
8
2
2
2
2
8
8
8
8
8
0
0
8
8
1
17
1
1
1
1
4
8
8
8
8
0
0
0
2
26
0
0
1
1
2
6
2
16
16
16
0
8
8
8
8
8
0
16
16
16
16
16
16
1
16
0
0
0
0
8
4
0
8
12
1
8
2
2
0
0
0
16
16
0
0
20
16
8
0
0
18
4
8
16
16
16
16
16
16
8
8
0
1
1
2
0
1
4
4
0
8
8
8
0
8
8
0
8
8
8
4
8
8
8
8
8
8
8
8
8
8
8
8
0
1
8
16
16
0
1
1
0
6
10
2
2
4
4
16
0
16
4
4
21
16
24
2
1
1
1
34
34
34
34
34
0
8
1
1
1
16
16
16
0
0
16
16
2
2
34
34
34
60
8
0
0
4
4
32
0
8
8
8
8
1
8
8
8
8
2
2
16
4
16
8
8
4
20
20
9
8
18
11
11
0
9
9
0
8
3
3
3
8
16
16
8
8
0
0
2
2
2
2
1
1
1
1
8
8
10
4
4
4
8
4
4
4
4
4
4
4
0
0
8
8
0
0
8
16
24
16
0
0
0
0
0
8
8
8
8
8
16
16
1
1
16
16
1
16
32
4
16
0
3
2
16
8
8
8
8
4
4
0
0
8
33
33
0
16
16
16
4
8
16
20
16
16
16
16
8
8
8
8
0
8
8
24
0
0
0
16
16
3
2
1
1
2
8
8
0
4
16
0
24
0
16
9
9
0
8
16
8
8
16
0
6
6
6
6
6
6
6
8
1
0
0
4
4
4
4
8
16
4
4
4
16
0
32
0
0
16
0
0
0
0
0
16
8
8
8
8
24
2
2
1
8
8
8
8
8
0
0
0
0
0
8
0
0
0
1
48
48
8
8
24
10
8
0
48
48
24
24
0
16
16
0
8
8
0
4
8
0
4
4
32
0
0
16
8
0
0
4
4
0
8
8
8
8
4
8
0
1
1
16
17
16
0
0
0
16
0
0
0
16
16
16
0
16
16
28
0
0
16
0
8
8
8
8
32
4
4
0
0
4
8
8
0
0
8
9
0
18
8
8
4
8
8
0
13
12
8
0
1
16
16
4
4
8
16
16
16
16
16
0
0
0
0
0
17
0
8
8
8
24
16
4
4
4
0
0
8
16
1
1
0
0
16
4
4
16
16
41
9
4
4
4
4
16
16
1
1
1
16
8
8
16
16
1
1
1
8
4
4
1
16
16
16
16
16
16
16
16
8
8
8
16
16
16
8
8
8
16
24
0
0
0
1
1
1
1
8
8
8
8
0
16
1
1
0
1
0
8
6
4
0
0
0
0
1
0
0
0
0
8
32
0
16
16
0
16
8
8
8
8
0
0
0
8
8
4
8
8
8
8
8
8
2
2
2
2
2
2
8
0
0
8
16
8
8
8
8
8
8
4
4
2
16
17
0
4
20
4
8
8
32
32
16
4
0
16
16
16
16
5
1
1
1
16
18
0
0
8
1
1
1
1
8
8
8
16
8
8
2
2
1
20
1
1
1
1
1
1
4
20
8
4
4
4
4
24
24
0
0
0
1
1
1
8
8
8
2
2
16
16
0
16
16
16
8
0
8
8
8
8
2
2
2
8
1
1
1
4
16
4
4
4
1
1
16
8
16
41
8
8
8
8
8
16
8
8
8
2
0
16
16
8
8
16
8
4
2
1
1
0
0
0
1
1
1
1
9
9
9
9
9
1
1
8
8
10
4
8
4
4
4
4
4
4
32
32
0
1
8
8
0
0
8
8
8
24
8
8
0
0
1
1
8
8
8
8
8
0
0
16
16
0
8
8
16
16
0
16
17
16
1
48
16
1
0
6
8
0
8
8
8
4
0
0
32
8
0
0
8
8
0
16
0
2
0
0
0
0
1
32
8
0
16
16
16
16
16
16
0
0
8
8
8
8
8
52
52
20
20
16
16
1
0
32
32
2
2
8
16
0
1
1
0
0
0
0
8
4
12
16
16
16
0
24
24
24
0
2
2
0
16
16
16
8
2
16
16
4
4
4
4
8
16
16
16
16
16
16
8
8
0
8
8
8
8
8
8
8
8
8
8
8
8
16
16
16
16
0
0
0
0
8
8
8
8
8
8
0
2
2
2
4
0
16
0
4
0
0
0
8
8
16
8
8
8
0
2
2
4
4
4
8
16
16
8
4
4
10
32
0
0
0
0
0
8
24
8
16
16
17
16
16
1
1
1
1
1
8
8
8
8
8
16
4
0
32
32
32
32
8
16
16
16
4
1
1
1
1
0
20
16
8
8
0
1
0
2
4
4
25
8
8
12
12
4
4
16
16
24
8
8
16
8
8
2
8
0
0
0
0
8
8
8
4
4
4
4
4
4
8
8
8
8
8
0
16
16
16
16
16
0
8
8
8
0
0
4
4
8
8
8
8
2
2
12
0
8
8
8
2
0
0
32
32
8
8
8
8
8
8
8
4
4
4
8
6
6
6
8
8
8
18
18
8
8
8
8
8
0
8
8
0
4
16
16
16
16
16
16
0
0
8
8
8
8
16
2
2
8
8
8
8
8
8
8
8
8
8
8
8
1
16
0
0
0
16
16
8
8
0
16
16
4
16
0
4
4
4
8
8
8
2
2
2
2
5
1
1
8
8
8
16
16
8
5
5
5
16
16
0
24
8
8
38
4
32
36
36
0
24
8
8
8
8
16
16
1
0
0
8
32
32
8
8
1
1
1
1
1
0
56
56
0
0
8
16
16
0
8
16
16
16
16
16
16
8
16
8
32
32
32
32
32
24
24
24
24
0
59
16
2
2
2
8
16
16
8
8
8
0
0
0
0
8
8
8
2
2
0
16
16
16
16
16
0
40
1
1
8
8
8
8
8
24
0
0
8
4
4
12
4
8
8
8
48
48
32
32
32
8
16
16
16
16
16
24
16
16
12
2
24
1
0
16
16
8
8
18
30
2
2
2
2
8
4
8
8
8
8
8
16
17
17
17
0
16
8
16
16
16
16
8
8
0
2
8
8
8
8
8
8
8
8
8
16
16
16
16
8
8
0
0
17
17
17
16
0
0
0
1
0
16
16
16
2
2
18
17
17
12
12
12
0
0
0
0
8
8
0
8
17
17
17
17
17
17
17
1
8
8
0
0
3
3
3
3
8
32
32
8
8
0
0
16
16
0
0
0
0
0
1
16
0
0
8
0
8
8
8
8
8
4
12
19
19
19
19
8
8
8
8
8
8
8
8
8
8
16
10
16
2
4
8
1
1
1
1
16
16
16
0
8
8
8
8
0
12
8
8
16
4
20
0
0
1
8
0
16
1
1
1
24
0
0
10
10
0
4
8
8
2
2
2
2
1
4
5
16
16
4
20
20
20
20
20
20
12
12
1
8
0
8
16
16
36
36
1
1
0
4
0
2
2
2
4
4
8
8
8
2
2
2
0
16
0
0
4
4
4
4
0
0
8
1
1
1
2
0
16
16
8
8
8
16
8
8
1
20
0
16
8
16
16
8
8
8
16
16
16
16
14
0
0
0
0
0
0
0
0
0
0
16
8
8
8
8
9
16
1
1
24
16
8
10
2
0
0
16
2
2
1
32
32
32
32
32
32
32
0
0
8
32
16
4
4
4
28
4
12
4
8
12
4
4
4
4
4
20
16
0
8
8
8
8
0
8
8
4
4
4
4
4
1
1
0
0
8
18
18
18
4
4
4
20
8
8
8
16
16
25
16
20
16
0
0
0
16
16
16
8
8
0
4
4
8
8
8
8
8
8
8
1
4
4
4
4
0
0
8
8
16
24
16
8
8
8
4
4
4
17
0
0
0
0
0
8
8
8
8
8
1
4
4
4
4
0
16
16
16
16
16
16
0
0
8
8
8
8
8
8
8
4
0
0
0
16
8
25
8
24
51
8
8
32
1
1
1
16
16
16
16
16
8
1
1
1
1
8
16
0
1
25
25
0
39
39
39
8
1
1
1
9
1
0
0
0
0
16
8
8
12
10
10
0
8
8
8
8
8
16
16
16
52
16
8
8
8
1
16
16
33
0
16
16
16
16
16
20
8
8
8
8
0
4
4
4
16
0
0
8
8
0
0
8
8
8
0
32
32
32
8
8
8
8
8
16
16
16
16
0
0
5
5
36
36
36
36
36
36
8
8
2
16
24
8
8
8
8
8
8
16
16
0
0
8
8
16
16
16
16
2
32
32
0
8
8
8
8
18
0
0
4
4
9
9
8
0
0
0
0
8
0
0
8
16
4
4
8
12
0
8
8
8
0
0
0
20
20
32
32
8
8
8
8
8
8
20
20
20
20
0
16
16
16
16
20
4
2
2
2
16
2
2
2
2
8
8
16
16
8
8
8
16
16
16
8
8
8
0
0
0
0
0
8
8
8
16
2
0
32
16
16
0
0
4
4
4
4
8
8
8
16
8
8
0
8
8
0
0
0
4
16
16
2
2
17
0
0
0
16
8
0
1
1
1
1
1
1
1
1
16
16
8
9
8
8
0
2
0
0
0
0
8
8
8
8
16
16
16
8
32
28
28
16
0
0
0
0
0
8
0
8
16
16
4
1
4
0
8
8
1
1
1
0
0
4
4
0
8
8
1
5
5
16
16
8
0
0
8
8
2
2
1
1
0
8
8
16
16
16
16
16
16
16
16
16
8
8
0
16
24
24
16
0
8
32
8
1
8
8
0
16
16
8
0
16
16
16
16
16
4
2
0
16
32
8
8
8
8
8
8
0
8
0
4
4
16
16
16
0
8
1
9
9
2
8
8
0
32
32
32
32
8
16
8
16
0
16
0
40
56
8
0
8
9
8
8
48
32
24
24
24
8
8
8
8
16
16
8
0
2
0
0
8
8
8
8
16
0
0
8
8
16
0
28
1
1
1
1
8
8
8
2
2
1
1
16
16
1
1
0
0
6
0
0
20
16
16
16
16
16
16
32
32
32
32
8
16
8
8
16
16
40
16
56
16
16
0
0
1
33
8
8
0
0
0
3
16
3
3
4
2
8
8
8
16
16
4
0
8
1
16
0
0
0
8
8
8
8
20
4
16
16
16
16
4
16
1
1
16
16
0
0
0
0
0
34
8
16
16
16
0
0
0
8
8
16
8
8
8
16
32
16
48
48
0
8
8
0
1
8
8
0
0
0
0
0
16
16
0
1
1
1
1
1
1
1
40
40
40
8
4
0
8
16
16
16
27
27
0
4
8
1
1
1
0
0
0
0
8
8
16
8
16
16
16
18
18
8
24
0
0
0
0
16
16
16
8
1
1
1
22
4
60
60
8
0
0
8
8
1
1
5
16
16
0
8
8
8
8
0
8
8
8
8
1
1
1
0
16
16
20
20
4
4
24
2
8
8
0
8
8
8
0
0
0
16
8
4
4
4
0
8
0
0
8
4
4
4
4
16
0
2
2
0
22
32
32
32
8
8
8
8
8
8
16
16
16
8
8
0
0
1
1
1
4
4
0
0
20
20
20
1
1
1
1
1
1
1
1
1
4
16
16
16
8
2
0
8
8
0
4
4
16
16
16
16
16
16
24
0
1
1
4
0
0
1
0
8
16
16
24
16
0
36
8
0
8
8
8
8
8
16
16
16
16
16
16
16
16
4
16
16
20
0
16
16
8
8
8
8
8
0
16
16
16
8
8
16
16
16
16
0
0
0
0
0
0
12
12
2
2
8
8
16
32
40
40
25
16
16
0
0
1
24
8
8
24
0
0
8
8
16
16
16
4
4
4
0
32
32
32
0
0
8
32
32
0
8
0
0
16
1
16
16
24
16
16
16
4
9
8
8
8
0
0
2
2
24
0
8
8
16
16
40
40
40
43
43
43
43
43
32
32
8
2
32
8
8
8
2
2
1
1
1
8
0
16
8
8
8
28
28
8
16
0
0
16
0
8
8
8
1
1
1
1
8
0
8
0
12
12
4
4
24
0
0
0
0
0
0
0
0
0
0
1
1
1
0
8
4
12
12
12
12
12
12
12
12
8
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
0
8
17
17
17
1
17
1
1
1
28
28
16
16
16
16
16
8
8
8
8
24
24
24
0
4
0
16
0
0
16
16
16
12
16
16
8
8
0
16
16
16
16
16
16
16
10
10
24
0
0
0
4
8
8
8
0
0
0
0
12
12
4
8
8
4
4
4
4
8
0
10
10
16
16
16
16
16
16
16
8
8
8
8
8
8
21
21
32
32
24
24
24
16
8
24
16
16
16
16
16
0
8
0
8
2
2
2
2
2
2
8
8
8
0
0
1
1
16
16
16
20
20
0
0
8
0
32
32
24
24
18
18
18
18
0
0
0
0
8
8
21
21
32
36
0
0
16
16
16
16
16
16
16
16
1
1
1
17
8
8
8
6
0
0
0
0
0
0
0
16
24
16
24
8
24
8
16
16
2
0
0
8
0
8
1
1
2
53
53
49
49
49
49
4
4
16
0
0
8
8
1
0
12
4
28
0
4
1
1
1
1
1
1
16
16
0
1
8
8
8
8
24
24
0
2
8
8
0
46
62
62
16
32
8
8
8
8
8
8
8
0
8
8
16
8
8
17
16
37
37
0
16
16
16
24
24
0
8
16
16
16
16
16
16
16
16
8
8
8
2
2
2
2
2
2
2
2
2
8
8
8
16
1
1
4
0
0
0
8
8
8
4
4
8
8
8
9
9
9
24
8
8
8
8
1
1
8
16
1
8
25
24
32
32
16
8
12
12
12
12
20
8
8
8
8
17
16
0
1
1
1
1
6
16
16
16
16
16
0
16
0
8
16
16
16
16
16
16
4
4
4
8
8
8
12
8
8
8
8
16
1
1
0
1
8
16
16
16
0
28
4
28
4
4
16
16
16
0
0
8
4
4
4
0
0
16
32
32
32
32
32
4
16
16
16
16
16
16
16
16
16
4
4
8
8
28
28
28
16
4
1
32
32
32
32
32
24
8
8
8
8
8
8
1
1
0
0
0
0
0
8
8
0
0
0
0
0
18
0
3
1
8
8
8
16
16
8
8
8
8
0
1
16
16
16
16
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
16
16
0
8
0
0
32
8
32
32
0
8
32
32
32
32
0
0
0
8
8
8
2
2
2
2
0
2
2
8
8
8
8
0
8
9
0
28
28
8
8
32
32
32
32
8
8
8
8
8
8
8
0
0
24
8
0
0
0
0
0
0
1
1
1
0
4
25
25
24
8
16
16
24
8
16
4
0
8
8
8
8
8
8
8
8
8
8
0
1
1
9
1
1
1
16
16
16
28
40
8
0
0
8
0
17
17
32
8
8
1
12
12
0
16
16
1
1
1
0
0
8
8
8
4
50
16
16
0
0
0
8
16
26
1
16
2
2
0
0
1
1
1
1
1
8
8
0
4
16
16
16
0
0
0
0
4
16
16
4
4
4
4
4
4
17
17
17
0
8
8
8
8
0
0
0
0
8
8
14
12
4
0
0
0
0
16
16
16
16
8
8
0
16
8
8
8
8
0
0
0
0
0
8
8
8
12
5
16
16
0
8
8
8
8
8
0
1
1
8
8
32
2
2
12
16
16
0
0
0
6
6
6
8
8
8
16
24
0
8
8
4
4
4
8
8
16
0
8
8
8
0
2
3
3
32
2
2
2
0
1
24
8
8
0
0
16
16
0
8
8
8
16
0
0
8
8
8
4
4
4
32
0
0
8
16
16
0
16
8
8
8
8
0
0
36
32
32
0
8
0
8
8
8
8
8
8
8
4
4
16
16
0
16
16
16
24
8
8
0
8
8
8
8
8
2
0
0
0
8
4
0
8
8
8
8
8
8
16
16
0
0
0
16
22
8
16
16
8
8
0
4
8
8
8
8
8
8
0
8
0
0
8
8
8
0
40
32
8
4
4
4
4
17
17
16
16
16
0
16
2
8
8
1
0
24
0
8
8
8
0
0
0
16
16
0
0
16
8
8
8
8
8
8
16
2
4
0
16
16
16
16
16
16
16
16
16
16
16
12
12
12
12
0
4
4
4
4
4
16
8
12
8
8
8
0
0
0
16
16
16
16
16
32
16
4
2
8
8
8
8
8
8
2
18
24
16
16
16
16
0
1
16
4
16
0
0
24
24
0
8
8
8
8
12
8
8
8
4
4
5
8
8
8
8
0
0
0
1
0
8
8
8
8
0
32
32
1
1
1
1
20
2
2
2
2
2
2
4
4
4
8
8
8
8
0
0
0
1
1
16
0
0
0
0
8
32
32
32
32
0
0
0
8
8
8
16
16
16
16
16
16
12
4
0
0
0
22
22
22
19
4
16
8
16
16
0
8
8
8
8
1
1
1
0
5
4
4
4
16
48
16
16
16
16
4
4
16
17
34
8
1
24
16
16
16
0
28
28
0
0
0
10
16
16
16
0
16
16
16
16
16
0
16
4
4
0
0
49
1
1
1
1
5
13
8
16
0
2
32
1
2
2
2
2
2
2
2
2
16
16
16
16
16
16
16
40
8
8
8
0
0
30
30
30
16
16
16
16
16
8
2
16
16
0
0
0
0
32
8
8
8
8
4
8
25
0
2
2
1
1
1
0
0
0
0
4
0
0
0
16
0
0
0
0
0
0
8
8
4
0
0
0
8
8
8
8
24
8
8
8
4
32
20
0
4
0
16
16
16
16
16
24
16
16
16
8
8
24
8
8
8
8
8
8
8
6
6
6
16
16
10
0
57
2
8
4
24
8
8
8
8
8
8
8
0
16
16
16
16
16
8
8
8
8
8
0
16
16
16
16
16
8
8
8
8
8
0
8
8
24
0
0
16
16
16
1
9
1
16
0
1
1
8
0
0
0
20
4
4
8
0
16
16
1
0
16
8
16
4
4
4
4
4
7
0
0
0
0
0
8
8
8
8
0
1
1
16
1
17
17
16
0
0
8
8
2
16
16
16
16
0
8
1
1
1
10
24
24
0
8
8
0
0
0
4
16
56
32
2
2
2
8
8
0
0
8
8
8
8
8
0
12
24
24
24
24
40
40
8
16
16
16
16
1
0
0
4
16
40
24
24
16
24
8
4
16
16
1
24
0
0
0
8
6
16
16
17
0
16
16
0
8
8
8
8
8
8
8
8
8
8
8
2
2
2
48
16
16
4
4
16
16
16
16
16
8
8
0
8
32
36
17
1
16
16
16
8
8
16
8
0
0
16
16
16
16
16
16
16
0
16
16
17
8
8
4
8
8
32
48
32
6
6
16
16
16
16
16
1
8
8
8
8
8
2
0
0
0
4
4
18
18
8
8
8
1
0
8
0
4
16
16
16
16
16
16
16
16
16
16
8
10
1
10
10
24
8
6
6
8
0
32
5
8
8
24
8
32
32
32
8
8
0
16
16
4
4
0
16
0
12
24
24
10
8
16
0
8
8
4
4
16
16
16
16
24
16
16
8
8
8
16
8
8
0
4
32
4
4
4
8
8
16
16
2
0
2
2
2
2
2
8
8
8
8
0
1
1
1
16
0
0
0
0
32
16
8
8
16
0
0
18
8
8
8
4
4
0
20
4
16
16
4
4
4
18
18
16
16
8
8
16
16
16
16
20
20
20
16
16
0
1
0
8
8
8
0
16
16
20
16
1
1
1
1
8
8
8
1
0
0
0
0
0
0
0
2
2
0
4
8
8
4
0
21
21
21
21
1
16
16
12
16
4
4
0
1
1
0
16
16
16
16
16
18
18
2
16
16
16
16
16
18
18
4
4
12
18
8
16
24
8
8
8
8
2
0
0
8
8
8
8
8
8
8
0
4
4
4
4
0
8
8
22
22
22
22
22
22
22
0
16
16
20
4
4
4
4
4
4
0
0
0
2
8
8
1
1
1
0
8
4
4
8
40
16
0
8
16
14
14
14
24
0
0
2
2
2
28
8
8
8
8
8
8
8
8
8
8
8
0
0
16
8
8
8
8
1
4
2
8
8
8
0
0
4
0
24
8
8
8
16
8
20
20
20
8
16
16
28
28
28
0
0
16
16
0
32
32
0
0
32
0
32
4
4
4
4
4
4
4
0
0
0
0
0
16
4
4
4
32
32
19
19
16
16
16
8
8
8
8
4
0
0
17
1
8
8
8
8
8
12
0
0
8
8
8
8
8
8
8
8
4
4
0
0
17
0
0
16
2
16
18
8
8
8
4
32
32
4
4
0
8
8
0
1
0
0
0
4
4
4
8
4
24
8
8
16
1
1
8
8
8
8
0
0
4
4
4
2
20
21
5
4
4
4
16
16
8
8
16
16
16
16
16
16
8
8
2
2
2
8
8
8
4
8
8
0
8
8
0
0
0
0
8
8
8
8
8
8
16
16
8
8
8
0
8
8
8
8
0
0
8
8
8
8
0
1
1
1
1
1
1
4
8
4
12
4
8
8
16
16
8
0
0
0
8
8
8
8
8
8
8
8
8
0
0
11
4
20
8
0
8
8
8
8
0
48
8
0
0
0
0
0
8
8
16
16
16
8
8
8
8
8
0
4
2
2
2
2
2
8
8
0
1
0
0
0
16
16
8
9
8
8
8
4
4
8
8
8
8
8
1
9
1
0
9
9
32
8
0
17
8
2
4
16
16
16
16
0
0
0
0
8
8
8
16
8
28
16
8
0
0
0
16
12
8
8
1
3
8
8
8
8
16
8
8
8
0
2
2
8
8
8
0
0
4
6
4
24
2
18
2
0
8
16
16
16
8
0
4
16
2
2
0
16
16
16
16
18
20
8
8
8
8
8
8
16
0
0
0
50
18
18
18
57
16
17
17
17
17
17
2
8
4
0
0
16
9
9
0
4
4
4
4
4
4
4
4
4
4
16
5
8
8
8
16
16
16
8
8
8
8
8
8
8
8
8
8
8
0
0
0
8
8
24
16
16
16
0
0
0
8
4
8
8
8
8
8
0
0
4
8
8
0
0
0
0
0
8
16
4
4
3
8
16
16
1
1
18
18
16
16
16
16
0
8
8
24
16
0
8
18
0
0
0
0
0
32
32
32
9
16
16
16
16
16
16
16
17
16
16
0
16
0
8
8
8
8
16
2
2
2
0
4
0
0
1
16
16
16
16
16
16
4
24
15
15
15
0
2
2
2
8
0
0
0
0
0
2
2
2
8
8
16
20
16
16
16
16
41
41
41
41
41
0
8
16
16
16
8
8
8
2
2
2
0
0
8
24
2
2
2
16
0
2
2
2
16
0
2
4
4
4
2
2
12
16
16
8
2
2
10
8
8
16
0
16
17
2
3
0
0
0
0
8
8
8
8
8
8
16
16
8
16
0
16
0
48
16
16
16
9
8
8
8
27
8
2
2
2
0
0
8
25
0
8
0
4
4
8
8
9
9
1
8
24
24
24
4
48
4
4
4
0
0
0
16
8
16
16
12
12
24
24
24
2
2
2
2
8
8
8
8
8
8
8
8
8
16
16
0
0
16
0
0
0
0
0
0
0
0
8
8
4
16
16
8
8
9
8
0
4
4
0
20
4
4
4
4
2
2
2
0
0
0
0
0
0
0
0
16
16
16
8
8
0
0
8
0
0
8
40
2
0
0
0
0
0
0
0
0
0
8
16
16
1
17
16
16
4
8
8
8
8
16
8
0
13
1
8
8
0
20
20
8
0
0
0
0
0
0
8
8
41
8
8
8
0
4
14
14
14
1
1
2
2
2
2
8
8
8
8
8
8
8
8
8
8
8
8
16
1
1
1
1
24
24
16
0
8
8
8
8
8
40
0
0
0
8
0
8
8
0
0
0
20
8
12
0
16
16
16
16
8
8
0
0
0
0
16
16
0
8
8
8
8
8
8
8
16
16
16
16
1
10
0
16
16
16
8
8
8
8
8
12
12
12
12
8
8
8
0
0
0
48
48
48
8
8
0
0
0
0
1
1
16
8
8
16
16
0
0
0
0
1
16
16
16
1
0
0
0
8
8
16
0
0
16
18
20
8
41
0
0
25
25
8
8
8
16
16
4
0
16
16
16
16
8
0
0
0
0
0
0
8
8
4
4
4
4
8
8
8
0
4
4
4
4
4
4
8
8
32
32
32
24
1
1
0
0
0
0
0
1
8
0
50
12
4
4
0
0
16
16
16
16
16
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
2
2
20
8
8
8
13
0
0
0
0
0
8
8
8
0
0
0
0
0
0
8
24
8
8
8
8
0
16
16
4
4
4
4
4
4
0
0
28
8
4
8
2
2
2
0
2
2
16
0
16
16
16
8
8
0
0
0
0
0
0
0
0
8
8
8
18
18
18
18
0
0
0
1
8
4
0
0
0
17
16
16
16
16
16
0
0
16
8
0
16
16
16
16
16
16
16
4
4
8
2
2
2
8
0
1
1
1
34
32
34
8
8
8
16
11
9
8
8
8
8
8
8
16
16
16
16
16
0
0
0
0
0
0
8
8
0
24
24
16
8
8
8
8
4
4
4
4
4
4
12
8
8
0
0
16
16
2
8
16
16
8
8
0
1
2
2
2
16
16
1
0
8
8
24
8
0
24
24
24
32
0
8
0
0
4
4
4
10
10
8
8
8
0
8
8
8
8
8
8
8
16
16
16
16
16
16
4
16
16
20
20
20
0
8
10
8
2
16
16
16
16
32
32
32
32
2
2
0
32
9
0
0
0
0
0
16
4
4
8
0
8
8
0
32
8
8
0
16
16
16
8
8
16
18
18
0
4
4
8
8
0
1
1
1
9
18
8
8
8
8
16
16
16
16
0
8
8
8
16
16
4
0
8
0
32
32
0
0
0
0
0
0
0
0
8
8
27
2
2
0
0
8
8
8
0
0
2
1
1
8
16
16
16
16
0
1
0
6
6
6
6
16
8
16
8
0
16
16
16
16
0
0
16
16
4
4
4
4
4
4
22
16
16
16
16
1
1
1
1
1
1
4
4
16
0
24
24
16
32
32
32
1
1
8
8
8
8
16
8
24
0
16
16
16
16
16
0
0
0
0
8
8
8
8
8
8
1
1
8
8
8
8
8
1
8
8
8
8
48
16
16
8
0
0
0
0
0
0
0
0
0
0
16
16
4
4
4
4
4
8
8
24
24
24
10
0
0
0
0
16
17
20
2
8
8
0
0
5
16
0
0
9
9
9
9
9
1
0
0
8
8
0
0
16
16
1
1
0
0
0
16
1
1
1
1
0
0
0
16
16
8
8
18
18
0
0
40
21
10
0
16
1
8
8
16
8
0
0
8
8
9
9
9
0
16
16
16
16
0
24
24
24
24
8
16
8
0
0
0
8
8
8
8
8
4
4
0
16
8
8
8
8
8
8
24
8
8
8
8
8
8
0
0
16
2
2
2
0
16
20
0
12
0
0
8
8
8
4
16
24
24
24
24
8
16
4
4
4
4
8
12
34
8
4
20
0
16
16
16
16
48
16
0
0
1
1
12
12
0
0
8
8
8
8
8
8
8
16
16
0
8
8
8
8
8
8
2
2
4
20
4
4
8
8
8
8
8
8
8
0
8
8
8
8
24
8
8
0
16
16
8
16
16
4
0
16
16
16
16
0
0
8
8
1
0
8
8
4
4
4
16
16
9
9
16
16
8
8
0
0
18
18
0
0
0
1
1
1
8
0
0
2
2
2
8
8
8
8
8
24
8
8
8
0
8
8
4
4
4
4
24
8
0
0
49
49
2
0
0
24
16
22
22
8
22
6
2
2
4
4
32
8
8
8
1
9
1
8
40
8
8
8
8
1
0
0
2
32
32
8
2
0
8
8
8
8
8
8
8
8
8
8
16
16
16
18
18
16
2
2
2
2
2
2
2
2
2
16
16
16
16
16
8
0
0
2
1
1
16
16
16
16
12
1
1
9
34
1
0
8
4
4
0
4
5
4
4
4
0
4
4
2
1
16
16
16
16
16
8
8
8
8
8
8
0
0
0
0
1
4
4
4
4
4
4
8
4
4
0
0
0
8
8
8
8
16
16
16
0
0
0
0
24
24
24
4
16
16
16
16
16
16
16
16
0
8
0
0
8
17
1
8
8
8
8
22
6
8
8
2
16
16
0
16
0
8
8
8
8
1
1
16
16
16
8
8
8
8
8
0
8
2
56
8
8
8
8
8
17
16
0
0
1
8
4
4
0
16
32
16
0
0
0
8
8
0
16
16
8
8
8
8
8
8
0
33
8
8
16
0
8
2
2
8
8
16
16
16
16
2
2
2
2
2
8
8
8
8
0
4
4
8
8
8
8
8
8
19
8
8
8
8
0
8
8
2
2
0
16
0
0
28
8
4
4
4
4
20
20
16
16
16
1
0
0
0
24
8
16
24
24
1
1
8
12
1
33
8
4
8
4
8
20
16
8
4
4
4
4
16
16
16
0
8
8
8
8
8
8
8
0
1
24
0
1
28
28
28
28
28
0
8
0
4
4
4
8
9
0
10
16
16
4
4
4
4
4
8
0
0
0
0
16
16
16
16
16
16
16
5
5
0
36
52
16
2
2
2
2
2
0
8
0
0
0
24
16
16
16
16
16
8
8
8
16
16
16
16
16
0
1
4
4
0
0
16
16
0
0
0
24
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
24
16
16
16
16
0
0
0
0
0
4
4
8
8
32
0
10
16
16
16
8
9
8
1
16
4
4
8
8
32
4
1
1
1
4
4
4
25
25
8
8
8
8
8
8
0
4
8
2
2
2
2
8
8
0
26
16
1
16
0
0
0
8
8
0
8
16
4
0
24
8
24
16
16
2
2
0
0
8
8
14
8
16
16
40
16
16
16
8
8
4
0
0
16
16
16
0
0
16
8
8
8
0
16
8
8
8
8
8
0
8
8
16
4
4
20
4
16
16
6
6
40
8
8
8
0
0
0
0
0
1
2
2
16
16
0
0
16
2
2
15
12
4
0
8
8
2
8
8
2
8
8
8
9
8
8
25
25
25
8
8
8
8
1
0
0
0
0
8
8
16
16
8
24
4
16
16
16
16
16
16
16
8
9
24
24
24
8
2
2
16
16
16
16
0
25
16
16
16
16
1
1
1
1
8
16
0
8
18
18
18
18
8
1
1
1
1
1
20
22
8
8
4
4
4
4
4
0
0
8
8
8
8
0
0
0
0
16
16
16
8
8
2
2
0
8
8
8
8
8
8
8
8
8
16
24
16
16
16
16
20
4
8
8
16
16
16
16
8
8
0
0
8
0
40
56
40
1
0
0
4
2
2
0
16
16
16
4
20
16
8
8
8
0
0
0
0
8
16
16
16
1
1
20
1
1
1
8
8
8
8
8
8
8
8
8
16
16
0
0
0
32
32
0
0
8
2
2
2
2
2
2
8
4
0
16
4
4
8
0
0
8
8
2
2
8
8
8
0
8
8
8
4
4
4
4
4
4
0
0
8
8
8
16
16
0
32
16
16
16
4
12
4
0
8
8
8
8
8
8
8
0
0
18
2
8
16
8
8
0
16
16
16
16
16
16
8
8
8
16
8
40
8
16
16
8
8
0
0
4
8
8
8
8
1
1
4
4
4
4
4
8
8
8
48
8
8
2
9
9
0
0
0
16
16
8
8
24
24
8
8
2
2
1
0
16
16
19
23
4
8
8
16
12
16
8
8
0
0
0
0
0
16
16
16
16
1
1
16
16
16
16
0
8
16
12
8
8
0
18
26
18
4
0
10
0
0
0
18
22
0
8
8
20
4
4
16
0
0
0
0
0
0
16
0
0
8
8
4
8
0
8
8
8
8
0
0
2
8
2
2
2
4
4
4
8
32
32
16
16
40
8
16
2
16
16
4
24
24
24
8
8
8
8
1
8
8
16
4
16
8
8
24
16
16
16
16
4
4
4
12
8
16
4
16
0
8
8
16
2
4
4
4
2
8
8
8
16
16
16
16
0
8
8
8
8
8
2
2
2
8
1
1
1
1
5
23
4
4
0
8
0
0
2
16
16
16
16
16
16
0
0
0
8
16
16
8
8
8
16
48
56
48
16
16
16
16
8
0
21
21
21
0
25
24
24
8
8
30
30
30
8
8
8
16
21
21
8
8
4
4
0
16
16
16
0
2
2
2
8
4
4
4
4
8
4
4
8
0
16
16
0
8
8
1
0
0
8
8
8
8
4
4
4
32
0
8
16
8
8
8
8
3
1
2
0
8
16
0
0
1
1
1
0
16
20
8
0
0
0
4
4
2
10
8
8
8
8
8
0
0
16
0
8
8
0
0
8
8
8
8
2
2
8
8
8
8
8
0
0
8
24
8
0
0
0
0
0
16
16
17
8
40
4
4
16
8
2
2
16
17
0
2
2
16
0
1
1
1
8
8
8
8
0
16
16
0
0
16
2
2
2
2
0
0
0
0
0
8
2
2
0
0
2
2
2
2
32
32
32
0
1
3
3
3
2
2
2
2
8
16
16
32
32
17
16
16
16
8
8
4
8
12
1
1
0
0
0
32
4
8
0
0
0
2
2
2
2
16
1
8
8
8
16
16
16
0
16
4
0
1
1
26
26
1
0
8
8
8
32
32
8
8
8
8
16
20
20
20
20
8
0
16
16
16
0
16
16
16
16
4
6
16
16
8
16
16
8
16
0
0
16
16
16
16
16
16
16
4
8
8
8
8
8
0
16
16
16
16
40
8
8
8
8
8
8
24
8
8
8
8
8
8
4
28
4
8
8
8
8
22
22
16
0
0
0
0
8
16
20
2
2
2
8
8
24
16
16
0
0
8
8
8
8
8
8
0
0
0
0
0
24
16
16
16
16
8
1
16
8
8
24
8
4
24
8
16
16
16
16
8
8
0
0
16
16
16
20
16
16
16
8
8
8
8
8
0
0
0
8
0
0
8
8
8
8
2
0
0
40
40
40
16
16
21
2
0
0
0
24
8
12
1
1
40
40
40
4
4
20
20
0
16
16
16
0
4
8
9
1
1
37
0
16
16
32
16
0
2
0
0
0
0
8
0
1
1
32
0
1
17
0
0
0
0
16
8
16
0
16
20
8
16
16
16
16
0
24
8
0
0
0
0
16
0
0
0
8
8
8
8
8
8
4
4
0
0
0
0
8
4
4
4
16
24
16
0
16
16
18
16
8
0
4
20
0
1
1
1
8
8
8
8
16
8
8
8
8
16
8
8
10
32
32
8
8
0
0
0
2
2
4
4
4
4
16
16
16
16
16
4
1
1
1
8
4
0
1
1
8
8
8
26
20
8
0
4
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
8
0
0
1
1
1
0
24
24
16
8
8
16
16
16
16
8
24
4
0
0
8
8
8
8
8
16
16
16
16
0
17
20
20
20
16
16
16
8
8
8
0
16
8
8
24
24
16
50
48
48
8
1
5
8
8
8
8
16
16
16
16
8
1
8
8
8
8
12
11
11
11
11
8
20
0
26
26
0
0
8
16
0
0
0
0
0
24
0
0
0
0
0
8
0
0
0
2
2
2
2
8
8
8
8
16
16
8
8
0
17
17
17
0
16
16
16
16
16
27
24
24
16
16
16
16
16
0
0
32
26
26
0
0
0
0
1
4
0
0
0
8
8
8
8
8
56
56
16
8
10
8
8
8
16
0
2
4
0
8
4
26
2
2
2
16
8
8
8
8
8
8
8
8
16
16
8
8
24
24
20
4
2
18
4
20
16
8
16
0
0
4
4
8
16
16
16
16
0
24
8
8
16
16
16
16
8
8
4
8
8
8
16
8
0
8
8
8
8
16
16
16
16
16
16
16
16
28
0
0
2
2
0
0
4
4
0
8
8
8
8
8
8
2
0
0
32
2
2
2
2
4
8
8
8
0
0
0
8
8
8
8
8
8
8
8
8
8
0
16
16
16
0
0
0
20
1
1
1
1
1
1
1
0
8
8
16
0
12
12
4
1
1
1
1
17
17
17
16
0
0
12
0
1
16
0
1
16
4
2
2
2
2
8
0
24
8
0
8
1
9
4
4
4
0
1
8
8
16
8
17
4
16
4
0
48
8
0
0
0
8
40
32
8
0
16
0
0
0
21
4
8
8
8
4
20
4
4
16
16
16
16
32
32
8
8
8
8
8
8
8
8
8
16
8
8
8
1
1
1
1
24
24
24
24
24
0
0
0
0
2
8
8
17
17
29
8
8
8
8
4
0
19
19
8
0
24
0
16
16
8
16
16
16
16
8
8
4
4
4
0
0
8
0
0
8
0
8
0
2
2
8
8
8
0
29
29
1
24
25
25
1
2
0
4
4
4
20
4
4
16
16
16
1
1
1
1
0
0
0
0
0
0
0
17
17
0
8
8
8
8
8
8
8
0
8
0
28
16
16
16
4
16
0
0
0
8
8
0
0
0
0
16
20
20
1
1
0
1
16
16
16
16
8
0
2
32
16
16
0
10
10
10
8
8
8
8
16
16
16
8
16
8
8
8
62
0
14
0
0
0
24
24
24
24
0
0
16
0
0
0
0
8
0
8
8
8
1
8
8
8
6
4
4
4
4
8
8
8
8
8
16
16
8
32
24
24
16
24
8
0
8
8
8
8
8
0
24
16
8
8
16
16
16
16
8
6
2
8
8
8
8
8
18
4
4
4
4
8
16
16
16
16
16
16
24
8
0
0
0
16
8
8
8
0
0
0
0
0
0
0
16
16
16
16
8
8
8
8
8
12
8
2
2
8
8
8
8
0
0
0
0
28
8
16
4
4
4
4
16
16
16
16
16
16
16
16
16
16
16
16
16
16
2
8
0
24
4
8
8
0
16
0
1
9
16
1
8
8
8
8
8
8
8
8
8
0
0
12
0
0
0
0
0
16
16
0
0
0
0
0
4
0
8
8
16
1
1
1
1
1
1
4
4
0
8
8
8
8
8
2
2
1
48
48
1
1
8
8
16
16
4
4
4
0
16
2
18
16
16
0
0
0
0
8
8
0
0
8
8
8
0
16
16
16
16
16
8
0
4
4
4
8
8
4
20
8
8
0
0
0
0
1
17
17
16
2
4
8
8
8
16
16
16
16
16
16
0
0
0
2
2
2
2
2
2
2
2
0
0
0
0
0
0
1
1
1
0
16
1
8
8
4
1
1
1
1
1
0
18
18
16
2
2
8
8
16
16
0
0
2
2
8
8
8
8
8
16
8
8
32
8
8
8
9
9
8
8
16
16
8
8
8
8
0
24
0
8
8
0
8
8
8
24
24
0
2
0
16
16
0
0
0
0
0
0
2
2
0
0
8
8
2
8
8
8
16
8
0
8
8
8
0
0
8
24
4
4
4
1
1
1
1
4
0
0
1
0
6
8
8
0
0
8
8
1
1
1
12
12
12
8
32
0
8
8
8
8
8
8
8
8
8
8
8
16
16
1
1
1
8
8
0
0
8
8
8
16
16
16
16
16
16
20
4
4
4
8
8
8
8
8
8
8
8
0
0
4
8
8
8
8
8
8
4
8
0
0
30
6
0
0
0
1
0
8
8
8
8
8
8
8
8
0
16
16
16
0
0
0
0
0
28
20
20
20
20
1
1
24
24
24
24
0
4
16
16
19
4
4
20
0
32
4
4
4
4
12
4
4
8
8
17
8
0
16
16
16
8
8
8
8
8
8
16
1
1
1
24
24
16
2
2
2
8
8
8
40
0
1
0
0
0
8
8
42
32
32
32
8
24
4
4
0
0
20
16
16
16
0
0
0
4
4
8
4
4
0
24
1
26
4
0
4
4
0
0
4
4
4
8
8
32
16
16
0
2
2
16
16
16
16
16
16
4
8
8
8
60
0
12
12
12
12
0
4
8
16
0
0
0
1
2
1
0
8
8
8
8
8
8
8
24
24
16
32
32
32
32
32
16
8
24
24
1
1
0
8
8
8
4
4
0
0
16
24
16
18
8
8
8
49
49
49
16
0
0
1
1
1
1
1
1
16
4
4
4
4
4
0
0
0
0
8
16
8
8
8
0
0
8
8
16
8
8
8
8
8
8
8
3
1
1
24
16
0
0
0
0
0
0
20
0
16
16
16
0
8
8
8
8
8
8
8
0
8
8
18
8
8
17
17
4
0
0
16
16
16
16
16
17
8
8
8
8
9
8
8
8
8
8
8
8
8
8
0
0
4
8
8
8
0
8
8
8
8
1
0
0
0
16
16
8
8
0
0
8
8
32
32
32
32
32
1
1
4
10
0
20
16
16
16
16
0
3
0
8
2
2
2
2
2
2
0
0
16
16
16
8
8
8
8
0
16
16
0
16
0
8
10
2
2
0
1
1
0
24
50
50
50
0
16
16
16
16
16
5
8
9
9
8
4
17
0
16
8
4
4
8
0
16
16
16
16
16
16
20
0
0
4
4
4
8
16
16
16
12
12
8
8
8
0
36
12
12
0
0
0
0
1
9
1
8
1
1
8
8
8
20
40
0
8
4
0
0
4
4
32
32
0
8
16
16
4
4
16
8
12
8
8
8
0
18
16
16
8
8
24
2
8
8
22
16
16
16
16
16
16
8
12
0
0
0
1
0
0
0
16
16
8
20
20
16
2
2
0
0
16
16
16
16
16
4
61
53
8
0
0
1
20
20
8
8
4
4
8
16
2
2
2
2
2
24
24
24
2
2
2
2
8
8
8
16
16
16
8
8
8
8
8
16
8
16
16
1
16
0
16
16
8
2
8
10
8
0
0
2
2
8
8
0
0
0
32
40
32
8
8
8
8
16
16
16
0
8
16
16
16
16
16
16
0
16
4
4
0
4
4
12
4
8
8
0
0
4
3
3
16
16
16
0
16
16
16
16
16
20
8
2
2
16
16
16
16
4
16
0
2
4
4
4
16
16
16
16
16
16
16
16
8
8
8
8
0
0
0
32
32
1
1
6
0
4
4
4
2
2
2
8
8
16
16
16
16
32
48
16
0
0
8
8
0
8
8
8
16
16
8
8
4
20
4
0
3
0
0
32
32
16
0
24
1
1
8
1
16
16
8
8
8
8
8
8
0
1
25
0
48
0
0
8
8
1
1
1
1
0
0
0
8
8
2
8
8
8
0
0
8
0
0
1
1
16
16
0
17
17
1
1
1
1
16
1
16
0
0
16
4
4
4
0
0
16
4
4
4
12
12
12
12
12
0
0
25
0
0
0
2
2
2
2
40
4
16
4
4
4
16
16
8
8
8
2
2
10
0
2
2
16
16
16
16
0
0
0
1
8
8
16
0
0
0
16
16
16
8
8
8
8
24
16
16
16
16
2
2
8
9
9
9
16
16
16
3
3
3
40
8
8
0
0
0
12
12
2
6
2
18
0
16
8
8
4
4
2
2
2
32
4
4
0
8
8
8
8
2
2
8
0
8
8
8
16
18
48
48
8
0
32
4
4
0
16
16
24
8
4
4
16
16
24
0
0
0
0
8
16
16
4
4
2
2
8
10
40
1
1
2
0
0
0
0
0
0
8
8
16
16
16
16
16
0
4
20
8
32
0
4
4
4
4
4
16
16
16
16
16
16
16
16
2
4
1
1
0
0
0
0
0
0
12
20
20
16
18
18
16
8
8
8
8
8
8
24
4
16
16
16
16
16
16
8
8
8
0
16
16
16
24
0
0
8
0
0
8
8
0
0
28
20
9
9
16
2
8
0
0
0
4
8
16
4
4
20
20
20
16
16
3
32
8
0
1
1
4
4
17
17
9
16
16
16
0
0
0
0
1
1
1
10
2
10
8
25
9
9
0
8
0
32
0
0
8
8
8
16
4
4
4
4
8
8
8
8
16
52
16
1
8
16
16
16
16
16
16
0
0
32
32
32
32
8
8
8
8
8
8
8
32
0
0
0
8
8
8
8
0
0
16
16
16
8
0
8
8
8
17
4
4
8
4
4
2
2
2
2
2
0
2
8
8
4
8
8
0
0
0
57
8
0
1
1
16
16
16
16
32
4
8
0
0
16
48
48
8
0
0
16
2
2
2
16
0
2
26
8
0
0
8
8
0
0
24
24
8
8
0
0
8
8
8
0
0
16
16
48
32
0
8
8
8
8
0
0
8
8
49
8
8
2
1
1
1
0
4
50
50
50
8
16
16
16
16
16
4
1
8
1
1
0
8
8
8
1
1
8
8
8
16
16
8
8
16
16
2
2
3
3
3
0
0
0
16
16
16
16
1
0
0
8
28
8
0
16
0
9
16
16
16
0
0
0
8
8
32
8
1
1
0
4
4
8
8
2
2
2
4
4
0
16
0
8
8
8
5
16
1
0
0
0
0
0
8
8
4
4
32
16
16
16
1
1
0
32
32
0
0
0
0
0
20
8
8
16
16
12
8
0
8
0
8
16
36
36
8
32
8
8
8
8
8
8
0
0
0
8
8
0
0
8
16
16
8
4
0
0
8
22
22
8
0
8
8
8
0
0
8
0
2
0
0
0
0
8
8
8
8
8
8
0
0
8
8
4
8
8
0
0
0
8
8
8
0
16
16
16
2
26
0
8
0
4
4
4
4
4
40
1
8
0
0
0
0
8
8
0
8
0
0
8
24
0
8
8
8
40
8
16
0
1
8
1
7
1
1
1
1
1
1
0
12
0
0
0
0
2
2
2
16
16
16
0
0
8
8
8
8
8
8
8
8
8
8
8
13
13
13
13
8
1
1
0
16
0
57
57
57
57
8
8
16
4
4
4
16
4
4
4
4
24
0
8
8
8
8
32
32
32
0
0
0
0
2
0
0
9
1
1
1
16
16
16
24
18
18
8
0
40
40
40
8
8
8
16
17
0
8
0
8
8
8
8
8
8
8
8
0
0
2
16
1
1
8
0
16
16
16
16
16
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
16
16
0
0
4
4
4
8
16
16
16
16
16
16
16
2
2
2
2
2
0
1
1
1
1
1
1
8
10
10
32
16
16
16
16
20
32
16
16
8
8
8
58
58
16
32
32
8
8
8
8
2
16
16
16
8
8
8
0
8
8
8
8
12
0
0
0
0
0
0
16
16
8
24
8
0
18
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
24
8
8
8
8
24
24
24
24
4
22
4
16
8
8
1
1
1
1
8
32
4
4
0
1
6
0
0
0
8
8
8
8
8
8
28
8
0
0
8
8
8
8
8
24
0
24
8
0
32
32
1
8
8
8
8
8
0
16
6
6
6
0
0
6
18
18
17
1
0
0
0
41
8
0
0
8
8
8
8
8
8
8
0
8
24
28
8
8
8
0
8
8
16
24
16
8
0
16
24
16
16
16
18
17
17
17
8
16
8
17
2
2
2
10
0
8
8
8
8
8
16
4
32
32
32
32
4
4
0
8
8
0
16
8
8
1
1
8
24
8
0
0
1
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
16
16
21
0
0
1
2
24
8
8
16
16
8
8
4
4
8
24
8
8
0
0
0
4
20
4
4
4
4
0
16
0
28
28
3
8
8
8
16
8
8
8
8
8
40
2
1
1
5
0
8
9
0
0
8
8
0
4
4
0
8
8
9
9
4
4
0
0
0
16
20
4
0
0
8
16
8
0
16
16
16
0
5
5
0
0
0
8
8
8
8
8
0
0
0
0
16
16
24
16
16
8
8
8
0
0
16
16
16
18
18
16
8
8
8
16
16
18
8
33
33
8
8
8
2
16
16
16
16
20
20
20
0
8
16
0
20
8
0
40
16
1
1
1
4
8
8
2
2
16
16
16
16
16
4
2
0
0
12
4
4
0
0
8
8
2
1
16
16
16
1
1
1
1
1
1
1
1
32
56
8
8
8
8
8
1
8
8
8
8
8
0
0
0
8
1
1
16
16
16
8
8
8
0
0
16
0
0
16
16
16
16
16
16
1
8
0
0
0
0
1
0
0
0
25
25
8
8
2
2
8
24
8
8
8
4
0
0
16
0
0
0
24
24
24
24
12
24
0
0
0
32
32
32
32
22
32
32
0
8
8
8
8
8
16
0
4
4
4
2
2
2
2
4
4
16
0
0
0
1
1
1
16
16
8
8
4
0
1
1
18
18
1
8
8
24
24
1
1
8
8
8
20
16
16
16
16
8
16
34
0
56
8
0
13
0
8
2
2
0
0
0
0
0
2
18
4
0
0
8
8
8
10
8
10
8
8
8
8
8
8
8
0
8
8
8
8
8
1
1
1
1
1
1
1
8
8
0
0
0
0
0
16
4
8
0
21
8
8
8
8
16
2
0
16
16
4
4
5
2
2
0
8
8
28
8
1
1
4
32
32
32
32
32
32
8
0
8
8
8
32
32
32
0
0
0
0
0
0
8
0
16
0
16
16
0
16
2
2
2
0
0
0
16
16
16
16
16
16
16
4
4
4
4
4
4
2
2
2
19
2
2
2
8
1
1
5
5
1
1
1
1
1
16
16
16
16
16
16
0
0
4
4
0
8
4
4
0
16
0
1
0
1
0
16
16
16
16
16
0
0
0
8
1
0
8
16
16
8
8
12
12
8
9
8
8
8
0
16
16
16
0
1
8
8
8
0
8
10
8
8
8
8
8
0
8
8
0
8
8
8
8
8
8
24
8
1
8
8
0
20
0
0
4
8
0
8
0
0
8
8
8
8
8
8
1
25
8
8
0
17
8
8
8
0
0
8
0
8
8
8
8
8
8
16
8
1
7
8
8
8
16
8
16
16
16
16
24
8
8
2
2
8
8
8
40
8
8
24
16
8
8
14
2
16
16
4
4
14
20
20
20
7
7
1
1
16
16
16
0
0
0
0
9
0
9
8
8
0
8
8
12
8
8
0
0
28
9
8
1
1
1
1
1
1
1
16
2
12
12
12
8
8
8
16
16
16
16
0
0
4
4
0
0
0
8
8
8
16
1
1
1
1
16
12
4
10
48
8
40
0
0
8
8
16
12
8
8
16
16
24
0
1
1
0
0
0
0
8
0
8
8
8
4
4
8
16
16
16
1
4
16
8
8
1
1
7
16
0
0
4
4
4
4
20
4
4
4
4
0
0
0
16
4
16
16
0
0
8
8
0
17
21
16
20
16
16
0
0
16
8
8
8
8
8
0
0
0
32
32
32
28
24
16
16
16
1
1
1
0
4
1
41
41
1
1
0
0
4
0
0
8
0
22
6
22
1
1
4
4
4
0
8
8
8
24
24
24
24
32
32
32
33
17
17
1
1
1
1
1
1
0
4
16
2
1
1
16
16
8
16
16
16
16
16
16
16
0
0
0
0
24
24
8
8
2
2
16
24
0
0
0
0
16
16
16
16
16
16
12
8
8
8
8
0
0
16
16
8
29
16
20
20
0
0
0
0
8
16
16
16
0
0
1
1
1
1
1
16
16
8
0
0
0
1
1
8
8
16
24
16
16
16
16
2
2
16
16
8
16
8
8
8
8
16
16
8
2
2
16
16
16
16
4
4
4
49
49
49
49
16
8
8
8
8
8
8
0
0
8
9
2
8
8
8
34
34
2
2
0
0
0
0
8
8
8
8
36
36
36
0
0
0
17
1
1
1
4
4
4
4
1
0
0
0
0
4
16
48
16
0
8
8
8
16
8
8
8
8
8
8
8
8
8
8
24
8
16
16
16
0
0
8
0
2
1
1
0
0
0
8
8
8
0
2
2
9
9
0
4
2
2
0
0
8
8
8
8
8
8
8
0
0
0
16
16
16
8
8
1
32
1
2
2
32
32
32
16
16
8
8
16
16
16
8
8
8
8
8
8
8
24
24
8
8
8
8
16
4
8
8
8
0
0
8
8
8
24
16
16
16
16
0
8
8
8
8
8
40
32
40
32
32
32
0
8
12
12
4
20
1
8
8
8
8
8
8
8
8
4
4
4
4
8
0
0
8
8
0
9
9
9
8
8
16
16
8
8
16
16
16
4
4
4
4
4
4
4
4
16
16
21
0
0
0
0
0
1
1
8
8
8
0
0
0
16
0
0
0
0
16
16
16
16
16
16
52
52
52
52
52
52
52
52
16
16
16
16
16
16
8
0
20
4
8
8
1
0
8
8
0
0
8
8
8
0
16
8
16
16
0
16
16
2
2
0
20
1
60
60
8
0
0
0
4
0
8
8
2
2
2
8
8
8
8
16
2
0
0
0
16
16
0
0
0
0
1
1
0
0
8
8
0
0
0
16
2
0
8
8
8
8
8
8
0
22
22
40
40
0
1
1
1
1
1
1
1
0
0
16
16
20
20
16
16
8
8
16
16
8
24
8
8
8
8
0
8
0
0
8
0
8
16
16
36
36
0
0
0
32
1
8
2
2
0
0
0
0
8
8
8
16
16
16
2
8
16
16
16
16
16
0
0
0
0
0
17
16
16
0
0
0
1
1
0
0
0
0
28
16
4
4
0
0
0
0
8
8
8
8
4
4
4
4
16
16
16
16
16
16
16
0
8
8
12
1
1
16
16
12
12
16
16
8
8
8
8
1
1
1
17
8
8
8
8
8
0
8
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
4
8
2
1
4
4
1
1
4
16
8
40
40
11
11
1
8
8
8
8
8
8
8
4
4
8
8
0
0
8
8
8
8
8
0
0
8
8
20
1
1
1
8
1
0
2
2
2
2
16
16
16
16
16
8
8
8
8
1
1
1
1
0
0
24
24
0
0
0
0
2
8
4
4
3
3
3
3
3
1
1
1
2
2
2
0
0
8
8
0
0
2
2
16
0
0
0
0
0
0
0
8
8
8
0
0
0
16
16
8
0
0
0
4
5
4
4
4
1
0
0
16
0
16
0
4
4
8
8
0
8
16
16
16
16
16
8
0
1
1
1
33
1
16
16
16
16
32
0
0
16
16
16
16
20
0
0
1
1
1
2
2
8
16
8
8
16
16
0
0
0
8
32
8
8
8
8
8
8
8
16
32
48
0
0
0
0
4
4
4
2
2
8
8
0
0
0
0
0
0
41
2
3
0
0
0
1
0
8
0
8
0
0
8
8
8
8
16
16
8
8
8
0
0
16
16
0
8
8
8
8
24
16
0
0
0
0
0
0
0
4
4
4
0
0
0
0
0
8
8
8
20
16
16
12
8
8
8
8
8
8
8
8
8
16
16
0
16
16
16
16
16
0
2
0
16
16
8
8
8
8
8
8
0
0
0
0
4
4
4
4
4
0
0
8
8
8
1
1
1
1
1
1
0
0
8
8
0
1
8
16
8
16
1
1
1
16
16
8
8
16
1
1
1
1
1
1
1
1
0
0
0
1
1
8
8
8
8
0
8
8
4
0
0
4
4
12
24
0
0
24
8
4
16
16
16
16
16
8
8
8
0
0
8
9
9
8
16
16
16
1
1
6
6
2
2
0
16
16
16
16
4
4
8
8
8
8
16
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
8
9
8
8
0
0
0
0
16
16
0
0
8
8
8
8
16
1
4
5
5
5
0
0
0
8
44
44
4
32
32
32
0
0
2
2
8
8
1
1
2
24
2
2
16
16
16
8
8
0
8
8
8
0
8
0
0
16
8
8
0
0
2
2
32
52
32
8
8
8
8
8
4
4
0
0
0
0
8
8
0
16
4
0
1
1
1
1
33
8
1
1
1
1
4
16
4
32
8
8
8
8
8
8
0
16
16
16
4
4
4
4
4
16
16
16
16
8
24
24
8
1
1
8
8
16
16
0
0
0
0
0
0
16
4
22
8
8
8
32
32
0
2
32
0
8
8
8
1
1
1
1
8
8
16
8
8
8
8
4
8
8
8
16
2
2
16
21
16
4
6
6
8
8
32
48
8
8
8
8
14
2
2
2
2
2
2
16
16
16
0
0
0
0
0
0
0
8
8
8
8
8
8
8
16
16
16
0
0
0
0
8
53
8
8
2
2
8
25
0
0
1
1
8
8
20
6
0
0
16
32
0
8
8
8
8
32
32
16
1
0
2
0
16
0
8
8
8
8
8
8
8
16
16
16
4
4
8
8
8
8
16
4
8
16
24
24
8
48
48
8
16
16
16
16
8
8
8
1
8
8
8
8
2
2
2
2
8
8
8
16
16
16
8
0
0
1
1
1
0
0
16
2
2
2
0
8
8
8
0
16
16
0
0
0
8
8
8
0
0
0
0
8
8
16
16
16
16
16
32
32
32
32
32
1
1
0
16
16
0
4
4
12
0
12
12
12
16
16
28
8
16
8
8
0
4
2
4
4
8
0
24
24
2
36
0
0
0
0
0
8
8
8
0
40
32
32
32
0
0
0
8
8
8
6
6
16
16
18
1
1
1
1
4
4
0
32
0
0
24
24
24
0
0
20
16
18
18
0
2
1
1
1
1
1
8
49
57
0
9
9
0
0
4
44
1
24
24
16
8
8
8
8
0
8
16
16
16
16
16
8
8
0
16
16
8
8
8
0
0
4
4
4
4
4
0
20
60
20
21
32
4
2
16
16
16
16
4
4
16
16
8
8
0
0
0
0
16
0
0
0
0
0
0
17
17
17
0
0
8
8
36
36
36
9
8
8
0
8
0
8
2
4
4
4
4
4
4
4
17
8
8
8
8
0
0
8
8
8
8
16
8
24
4
28
8
16
0
4
18
18
18
18
18
16
16
0
24
8
8
8
8
8
8
8
0
8
2
2
24
16
16
0
0
0
0
4
4
16
16
4
8
8
8
0
0
16
16
16
17
16
16
16
16
0
16
24
16
32
0
16
0
24
24
24
0
0
0
0
4
4
4
16
16
2
2
0
8
16
16
16
4
4
4
1
16
1
1
9
9
9
16
16
16
16
8
16
16
16
0
4
2
2
24
24
16
8
8
8
1
1
8
8
24
24
24
24
24
2
8
8
16
0
8
8
8
16
16
8
1
1
8
8
8
8
0
27
3
0
0
20
4
48
48
8
8
0
0
0
0
0
0
8
8
8
8
8
32
8
16
16
2
0
0
8
8
8
1
2
8
8
6
22
8
16
16
8
2
2
0
0
16
16
16
16
16
16
0
8
8
8
8
8
8
4
0
0
32
32
32
3
3
8
0
32
29
29
10
8
8
0
0
8
8
8
12
12
12
12
12
8
0
1
0
8
8
8
8
32
32
8
2
18
18
2
2
2
0
8
16
16
16
0
0
4
8
8
8
0
0
8
8
8
8
8
8
8
16
8
16
8
4
16
0
8
8
8
8
8
8
8
8
8
16
32
0
0
17
1
1
1
1
1
8
8
8
8
8
16
0
2
16
1
4
0
0
0
8
8
8
12
0
0
0
8
8
40
40
40
40
40
16
4
16
16
0
32
32
16
16
16
8
0
8
8
8
4
26
16
8
16
8
8
8
0
0
0
0
8
44
8
8
16
16
16
16
16
16
8
8
0
16
16
16
8
8
2
2
19
24
24
24
0
16
16
8
8
8
8
0
8
8
32
20
0
16
16
16
17
17
0
8
32
0
4
4
16
8
16
16
16
0
4
4
4
16
16
16
16
16
4
8
8
8
4
4
16
8
0
0
6
6
8
8
8
8
0
16
0
24
0
0
0
16
0
16
0
0
8
18
18
18
18
18
24
24
0
20
9
1
40
8
1
0
4
8
24
24
8
0
8
8
8
8
8
8
16
16
0
0
0
1
8
4
4
4
8
8
8
8
0
24
24
24
8
0
0
0
8
0
0
0
1
1
1
16
8
8
8
16
20
20
20
20
20
4
16
16
16
16
8
8
16
16
29
1
1
1
1
1
0
8
8
8
0
0
0
0
8
1
1
1
1
1
1
1
1
0
16
16
16
8
8
2
0
8
8
8
8
1
1
1
8
8
8
16
0
8
8
16
16
1
8
8
4
4
2
8
4
16
16
4
0
1
1
1
1
1
0
1
1
8
8
8
1
1
0
8
24
24
24
0
16
0
9
9
8
1
8
41
0
1
0
16
16
16
1
16
8
8
10
0
0
0
16
1
1
4
4
4
4
0
8
40
40
8
1
1
1
1
16
16
4
0
8
8
8
8
8
20
8
8
8
2
2
16
8
0
0
18
6
6
6
6
6
6
6
6
1
8
24
2
2
2
4
2
2
2
0
0
16
16
2
20
8
8
0
0
0
24
0
0
2
24
0
8
8
4
4
4
0
0
24
24
16
16
0
16
16
0
0
0
0
2
16
16
8
8
8
8
1
1
1
16
16
16
0
0
1
1
1
1
1
0
28
28
16
16
16
16
4
8
0
16
16
16
0
1
16
16
0
0
0
8
8
8
14
0
0
8
8
0
4
8
8
8
1
8
8
8
8
4
4
4
16
8
0
0
4
5
1
8
8
8
8
4
24
24
24
24
12
8
4
4
15
16
20
16
16
16
16
16
16
16
16
16
16
0
8
8
8
8
8
0
0
0
8
8
8
8
8
8
8
8
0
8
48
16
48
24
24
42
18
0
0
8
8
8
48
16
0
0
0
8
8
8
8
8
16
16
16
0
8
32
33
18
18
0
0
8
8
8
8
8
8
6
16
2
2
8
8
8
16
26
8
16
16
0
0
1
16
32
32
32
32
32
32
0
8
8
8
0
0
0
1
1
16
24
34
6
0
0
0
0
0
0
0
0
8
0
4
5
8
8
8
0
8
0
32
32
32
4
8
8
16
8
0
8
8
8
8
8
8
8
8
0
0
0
0
0
0
24
8
8
8
17
16
8
0
0
4
0
0
16
8
16
8
8
0
0
0
0
0
8
8
0
1
20
20
20
20
20
8
9
8
8
29
8
8
8
8
8
8
8
8
8
8
8
4
4
8
8
8
0
8
4
4
8
8
16
4
4
4
4
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
16
6
6
2
2
2
2
2
8
8
8
8
0
17
16
0
0
24
16
2
2
8
8
1
16
16
16
16
8
8
24
8
9
8
8
18
2
16
16
16
18
8
8
8
8
8
4
4
4
4
4
32
32
6
16
6
2
6
4
4
16
16
16
18
16
32
0
0
2
16
8
8
16
8
16
16
1
10
8
8
4
4
4
0
0
0
0
0
16
0
16
16
25
16
16
16
16
8
8
8
16
2
2
2
4
12
16
16
16
16
8
8
8
0
0
4
4
4
4
8
8
0
8
24
24
24
0
0
0
4
0
0
0
8
24
8
16
20
24
0
8
8
32
36
32
32
0
0
0
16
8
8
8
16
16
16
0
8
8
32
40
0
0
0
0
0
8
8
36
32
32
32
32
32
32
13
8
8
8
20
20
8
20
0
8
9
2
25
25
2
2
2
0
4
4
16
16
16
16
4
8
8
16
0
0
8
0
24
8
1
4
16
16
16
16
0
4
4
4
8
8
8
8
8
8
0
16
8
0
8
8
8
0
0
0
0
0
0
1
1
0
4
4
4
4
4
16
24
16
16
4
4
17
0
8
0
2
0
3
3
3
2
4
16
8
8
8
16
16
16
0
0
0
0
18
1
1
16
16
0
16
16
16
16
16
0
0
24
6
4
8
8
8
16
0
0
8
0
17
32
32
8
12
0
4
2
18
22
22
16
14
14
14
8
4
4
8
16
16
16
16
8
8
16
16
16
16
16
16
0
8
0
8
8
8
8
0
0
0
1
1
16
16
16
16
16
16
8
8
4
4
0
4
8
8
0
0
8
8
24
0
2
2
36
32
16
16
0
8
8
8
40
0
0
0
32
32
8
2
2
8
8
8
4
4
4
24
8
4
8
8
16
16
16
16
16
16
16
16
0
8
8
12
8
8
24
24
16
32
32
8
8
1
8
0
4
0
4
4
4
24
4
16
8
8
8
0
0
0
0
49
1
1
0
29
29
4
4
4
17
16
16
0
4
4
20
20
8
8
4
4
1
1
8
8
0
0
2
1
1
1
16
16
16
13
13
13
8
8
16
16
0
32
32
32
0
32
49
49
4
8
9
8
32
0
24
24
24
1
8
8
8
0
16
1
8
16
16
9
1
9
9
9
9
8
8
8
8
0
8
0
16
1
24
0
0
8
8
8
12
16
2
2
2
8
8
0
8
8
8
8
0
1
0
8
8
8
8
8
8
0
16
16
3
4
4
4
4
4
1
1
4
0
8
16
16
4
4
2
8
0
0
0
0
4
20
4
4
4
4
4
16
16
16
8
8
8
0
0
16
0
0
8
24
4
4
4
16
16
8
8
8
0
0
0
16
16
32
32
32
32
32
32
0
0
16
4
0
0
0
0
0
0
0
8
12
8
44
44
0
8
8
8
8
8
8
8
20
20
1
8
25
0
0
16
16
16
16
1
1
1
8
0
0
16
0
0
1
1
1
1
8
8
8
8
16
16
16
16
16
16
0
0
0
0
0
8
40
32
16
16
16
16
0
0
0
32
32
32
0
0
1
33
33
33
33
1
1
1
0
0
0
1
1
1
8
1
4
4
8
0
0
0
8
8
24
24
24
24
20
16
0
8
0
0
8
24
2
2
2
2
2
24
1
16
0
8
8
8
8
16
24
8
8
8
8
1
16
16
17
16
4
4
8
8
16
17
17
8
8
8
0
0
0
0
0
0
0
0
24
8
8
2
0
0
0
8
8
32
0
0
8
8
8
0
8
8
0
0
0
8
8
8
8
16
27
27
5
5
5
5
8
8
8
8
8
8
2
2
8
4
4
4
4
18
18
16
2
2
2
2
8
8
8
1
1
1
1
6
6
8
8
0
0
0
0
0
0
16
16
8
8
16
16
8
0
0
0
0
0
0
8
8
8
18
1
1
1
16
8
8
8
8
8
8
24
16
0
16
16
16
0
0
0
16
16
16
0
0
1
1
1
1
4
0
2
2
3
8
8
0
17
17
8
8
8
8
0
8
4
4
12
12
4
4
16
16
16
32
40
40
32
16
1
1
8
8
9
2
0
0
4
2
0
16
8
0
4
4
16
8
8
8
8
4
0
0
16
24
24
24
0
8
8
8
8
8
8
16
16
8
8
8
1
16
16
0
0
16
8
8
8
8
8
2
2
2
2
8
8
16
16
16
0
0
16
16
16
16
16
16
16
16
16
16
16
16
0
0
16
0
0
1
16
16
0
0
0
0
0
8
8
8
8
8
8
4
4
4
2
2
2
2
2
4
4
2
4
4
4
2
12
16
8
0
6
6
14
16
16
12
17
1
1
0
16
16
24
0
0
0
0
32
32
32
32
32
32
24
24
24
0
0
0
0
2
8
8
1
32
16
8
8
8
0
0
0
3
1
3
16
18
0
0
1
1
1
4
8
8
8
8
8
16
8
8
0
1
1
6
6
6
6
2
8
1
8
8
8
4
4
8
8
1
8
8
10
2
16
16
16
16
16
16
16
0
0
0
0
2
2
2
8
8
8
8
9
1
1
1
8
1
1
0
0
0
1
8
16
16
16
16
1
1
1
0
0
32
0
25
25
25
25
8
8
42
42
42
8
8
0
16
16
0
9
9
0
0
16
16
16
3
8
8
8
4
21
8
16
16
8
8
8
8
8
8
8
8
1
2
2
1
1
8
8
8
16
16
0
32
32
32
1
1
1
1
8
8
8
8
8
8
4
12
16
0
0
1
22
8
8
8
8
8
0
0
0
16
16
16
16
16
8
0
8
8
8
4
4
10
0
24
4
4
4
8
8
2
0
0
0
0
16
16
1
17
4
4
4
12
4
8
36
0
16
8
8
8
0
0
0
4
4
4
1
1
0
16
0
12
4
0
0
10
2
2
4
8
12
16
16
8
8
8
8
8
8
8
8
8
8
16
0
0
4
8
4
4
0
0
16
4
4
4
4
4
0
0
9
56
16
16
17
16
8
8
8
0
4
0
0
16
16
16
16
2
0
0
0
8
8
8
0
16
16
16
16
7
7
2
2
2
2
8
16
16
16
16
0
8
8
8
4
4
25
8
16
16
30
30
30
8
8
16
16
8
8
8
8
8
8
8
8
8
8
20
20
0
0
4
4
0
0
0
16
16
16
16
29
16
16
0
8
16
16
16
16
16
4
4
4
4
9
9
9
9
8
8
8
8
4
0
8
16
4
12
8
12
4
0
4
4
24
16
16
16
16
16
0
0
20
4
4
4
4
4
0
0
16
16
11
8
8
8
0
0
0
0
0
22
0
16
4
4
4
4
4
0
8
0
2
2
4
4
0
1
2
0
0
0
0
0
8
8
0
0
8
4
4
4
4
4
0
40
8
8
8
0
8
2
2
8
8
0
16
8
8
16
16
0
32
16
16
16
8
2
16
1
1
1
16
16
16
16
8
2
2
2
2
0
12
0
0
0
16
16
16
16
0
0
0
0
8
2
2
8
1
1
1
24
24
0
8
8
8
32
40
2
2
2
21
21
8
1
1
16
16
16
16
16
12
0
0
32
4
0
8
8
8
8
8
12
4
4
4
0
0
0
5
1
1
1
16
16
16
16
8
8
34
16
8
8
8
8
2
0
24
16
8
0
10
0
4
16
16
4
4
4
4
24
24
17
1
1
1
0
8
32
8
8
8
8
8
24
0
0
8
8
8
8
8
8
8
0
0
0
4
0
0
2
6
0
8
8
16
16
16
16
25
25
25
8
8
8
8
0
8
0
8
1
16
16
16
16
8
0
16
16
4
4
4
4
32
8
8
0
0
6
8
8
32
48
8
1
1
32
8
32
32
32
32
32
32
0
8
24
24
24
0
0
0
0
0
0
4
4
34
34
34
34
8
8
0
0
24
8
8
8
8
8
0
2
2
2
16
8
16
16
16
24
8
16
8
8
2
2
16
16
32
32
41
32
4
16
0
0
0
2
8
8
8
8
16
9
0
0
1
1
24
24
0
8
8
8
8
8
0
8
0
8
8
8
8
8
8
16
16
8
8
0
26
26
26
0
0
8
8
8
0
0
2
2
16
0
1
16
16
8
8
1
1
21
21
32
32
0
8
8
0
4
16
16
16
32
32
32
0
0
0
0
0
0
8
8
8
8
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
0
0
0
0
16
0
11
4
32
4
4
4
4
2
4
4
4
4
4
0
2
2
2
8
8
0
0
2
2
16
16
24
16
24
0
0
1
1
1
1
1
0
0
16
0
2
2
16
0
0
1
1
0
8
8
16
16
16
16
16
16
16
16
32
8
8
8
8
0
0
4
4
16
16
16
20
0
8
8
8
8
8
24
24
24
1
1
1
20
8
8
8
16
16
16
17
17
17
8
16
16
17
0
33
2
0
0
8
8
8
8
8
8
2
35
10
8
8
8
0
0
0
0
8
8
8
4
4
4
4
4
4
32
32
32
20
4
4
4
4
16
0
8
0
0
0
0
0
24
4
4
4
4
1
1
1
1
8
8
8
8
2
0
0
0
0
0
24
8
24
8
8
1
8
8
17
1
1
16
32
8
16
16
16
1
16
1
16
16
4
4
0
0
0
8
2
2
2
2
0
0
16
16
8
16
8
8
8
8
8
8
8
8
49
1
2
0
0
0
0
6
6
0
0
2
0
0
0
0
24
16
16
31
16
3
1
1
0
0
8
8
1
8
8
2
2
2
16
8
16
16
16
0
16
0
0
1
0
8
2
10
16
16
32
4
4
0
4
32
32
1
1
1
16
8
8
0
0
8
0
8
8
8
2
2
8
8
12
16
16
16
16
16
16
16
16
16
16
16
2
0
2
18
2
16
16
16
8
4
4
4
4
4
4
16
24
16
24
24
24
8
8
8
8
0
0
0
16
16
8
0
17
17
17
0
0
0
4
8
16
16
16
3
0
0
8
0
0
0
0
0
0
0
8
8
16
8
4
4
4
4
8
8
8
8
24
8
16
0
0
0
2
1
1
16
16
1
0
0
24
2
2
2
0
4
4
26
26
8
8
8
2
2
4
2
8
8
8
0
0
8
0
0
24
18
18
18
18
18
18
8
8
0
0
0
0
10
10
8
8
8
8
32
16
8
48
16
16
16
16
16
8
2
2
2
2
4
4
4
20
8
8
8
18
8
8
8
8
8
0
6
0
8
8
8
8
8
8
8
8
16
16
16
16
16
3
3
0
0
16
16
0
0
8
0
1
8
0
0
1
22
0
0
8
8
8
16
18
16
0
4
4
8
4
5
0
2
2
0
0
0
32
40
2
2
16
16
16
8
8
16
16
16
15
5
13
21
1
1
0
0
0
8
8
16
16
0
0
0
0
8
24
8
8
2
8
10
10
10
8
8
48
48
48
0
10
26
0
0
0
16
0
8
8
8
8
18
18
1
1
2
2
28
8
8
16
16
16
16
16
16
16
16
0
4
16
0
4
0
8
8
8
8
8
8
8
8
8
8
4
56
8
9
8
8
16
8
8
2
2
2
4
4
4
0
17
17
17
17
17
4
4
4
4
4
8
8
12
8
0
0
0
16
16
0
8
2
16
16
16
0
32
32
8
8
8
8
16
16
16
16
16
8
8
40
2
2
2
16
8
21
21
21
4
6
16
16
4
4
8
16
16
8
2
20
20
20
1
8
8
8
8
0
8
12
12
4
4
4
1
1
18
16
16
0
16
0
10
10
10
16
16
16
1
1
1
8
8
1
1
1
20
20
20
20
0
0
0
8
8
8
0
8
24
16
8
32
32
0
10
16
16
1
8
0
0
8
8
8
8
8
0
0
8
0
0
16
16
2
8
16
16
16
4
4
1
1
1
8
8
8
1
1
1
1
2
0
0
24
8
8
8
8
8
4
8
8
8
8
24
32
32
32
0
0
16
8
8
9
8
0
0
0
18
18
16
0
8
8
16
1
17
0
0
8
8
8
8
8
0
0
8
8
0
0
16
16
0
0
8
8
8
8
8
8
8
0
4
1
0
0
2
0
0
0
0
0
0
0
16
24
32
32
16
16
16
16
8
10
0
2
2
2
2
2
2
2
2
16
16
16
0
4
4
4
0
0
0
8
8
8
2
0
0
0
16
16
0
0
0
0
0
3
0
0
16
16
8
8
48
16
8
8
8
16
0
2
8
16
16
16
8
8
8
8
16
16
16
8
8
25
8
8
8
17
16
16
8
4
2
16
16
16
16
16
0
8
8
0
0
4
1
1
9
0
0
0
0
16
16
16
4
60
4
12
1
1
40
40
16
16
8
0
57
2
2
2
2
8
2
1
1
0
0
0
0
0
1
8
8
8
8
8
16
6
8
0
0
16
16
32
8
8
0
0
0
0
16
16
8
24
8
16
18
16
8
16
16
16
2
2
2
2
8
8
16
8
0
2
2
2
2
16
1
1
24
24
24
8
16
16
8
8
8
8
21
1
1
8
8
12
12
12
12
12
12
16
1
0
0
0
2
5
1
1
1
1
24
8
24
8
8
16
16
0
8
8
8
8
1
1
1
1
0
3
0
8
8
1
8
4
4
4
4
4
4
4
4
32
8
36
8
8
1
1
8
1
1
0
16
16
19
19
19
0
0
0
8
1
8
8
8
1
1
0
1
1
1
1
1
1
1
1
1
1
8
8
8
8
16
16
16
16
16
17
2
6
32
8
8
8
8
8
8
18
18
18
0
0
8
16
16
16
16
4
4
8
17
24
0
24
8
8
8
8
8
8
0
0
16
17
16
8
16
16
0
0
0
8
8
8
8
8
8
8
8
8
0
0
1
0
57
8
8
8
2
2
2
2
8
39
8
8
0
0
8
8
0
0
0
4
2
8
8
8
8
8
0
16
0
2
0
16
16
16
16
16
21
8
8
16
28
24
24
0
0
12
16
16
16
16
40
8
8
8
17
8
8
8
8
16
16
8
8
8
0
0
0
0
0
33
33
8
8
8
8
12
0
0
0
8
0
8
7
8
0
0
0
0
8
8
8
8
8
8
8
0
0
0
0
0
0
0
16
0
8
8
8
8
8
8
16
16
0
0
0
0
16
16
0
4
8
8
0
0
2
2
2
8
8
0
0
0
14
14
14
14
14
0
8
16
16
16
1
1
1
1
5
0
0
2
2
2
2
52
52
4
8
8
8
8
8
32
16
16
16
16
16
16
16
17
1
16
16
16
32
33
32
32
32
0
4
20
40
8
17
23
17
17
16
8
24
24
8
2
8
32
16
2
2
2
2
0
24
1
1
8
0
0
0
0
8
8
8
32
24
24
0
2
12
0
8
8
0
2
2
32
32
32
32
32
32
32
4
32
32
32
32
0
8
0
7
7
24
24
8
8
8
8
8
32
32
1
1
1
1
1
1
0
16
48
8
16
16
16
4
18
18
26
0
32
32
2
2
16
16
16
16
8
8
8
8
8
4
4
8
8
8
8
16
0
8
8
8
9
1
8
4
12
0
2
0
24
24
24
24
24
8
8
8
8
8
8
8
24
1
8
4
4
0
0
0
0
8
8
8
0
2
2
8
16
8
16
0
8
8
16
8
1
1
8
8
8
8
16
16
8
0
32
32
32
32
0
0
16
8
8
8
24
24
16
16
4
8
0
0
0
8
8
2
2
0
0
0
0
18
18
18
20
20
2
1
4
0
8
8
20
16
16
16
16
4
20
20
16
16
16
16
8
8
8
8
4
2
2
2
8
8
8
9
9
0
8
8
8
3
0
0
0
16
16
9
9
9
9
8
8
2
2
2
0
0
16
16
0
16
16
16
16
16
16
8
16
0
8
8
8
8
0
16
16
16
8
8
2
2
8
3
4
4
7
16
1
57
8
8
8
8
8
0
0
0
0
0
0
10
10
10
10
10
16
16
16
8
8
8
8
0
0
15
15
15
15
16
16
16
16
16
16
16
1
1
16
4
0
1
1
1
32
0
1
8
8
8
8
8
8
8
8
0
0
8
8
8
8
16
0
0
4
4
24
8
8
8
8
0
16
0
0
0
36
8
8
8
8
8
8
8
16
16
0
0
16
8
16
0
16
17
8
8
8
8
8
1
8
8
8
1
1
1
1
1
1
8
8
10
20
2
2
2
8
8
8
8
0
0
32
32
32
10
10
10
10
0
1
1
16
16
0
0
24
2
0
48
48
48
48
16
0
8
8
8
8
8
8
8
1
16
0
4
4
4
0
12
8
8
1
1
1
0
0
16
16
16
16
4
4
16
16
16
1
1
1
1
8
8
0
8
8
8
16
16
16
16
16
0
4
8
8
8
16
16
8
8
8
0
0
16
16
0
0
0
8
24
0
1
1
1
1
17
25
17
8
8
8
0
8
4
4
4
18
0
2
2
0
0
0
16
16
16
16
16
48
16
16
16
56
9
0
1
29
9
0
0
8
8
8
4
8
8
4
8
0
0
8
8
8
2
8
8
8
8
16
4
4
2
6
0
0
16
16
16
4
4
4
0
0
16
16
8
8
8
8
8
8
8
8
1
1
16
20
8
8
8
8
8
8
8
4
4
4
4
0
0
18
16
8
8
8
2
0
0
8
12
12
7
16
16
16
16
16
8
16
8
8
1
1
0
0
1
1
16
16
24
2
2
2
2
2
2
2
2
0
8
8
8
16
16
16
16
16
4
1
1
1
1
0
4
4
4
4
24
24
8
8
2
16
26
26
24
8
8
37
1
1
16
8
8
8
8
8
0
0
8
8
0
16
4
24
0
8
40
4
4
4
16
2
2
8
16
16
0
4
4
4
16
8
0
8
0
0
8
0
8
8
8
8
8
8
8
8
4
4
4
0
16
0
0
0
32
32
32
32
0
0
8
8
1
1
1
16
4
6
6
0
8
16
8
16
20
16
0
16
16
16
1
1
16
17
8
8
8
16
16
4
0
16
16
4
24
16
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
8
8
8
16
24
24
45
45
0
32
32
8
8
8
8
16
16
1
1
1
1
1
0
32
8
8
32
8
1
1
1
1
1
24
24
24
0
0
16
12
12
16
8
8
8
8
4
2
2
0
0
1
12
16
16
16
16
1
1
1
8
8
8
8
2
2
2
2
2
2
8
8
8
8
16
24
1
2
2
8
0
16
16
2
4
4
16
8
8
8
32
16
16
16
1
1
1
1
8
10
26
0
0
8
0
0
17
16
8
8
8
16
56
56
16
16
0
4
8
8
8
8
8
8
8
8
16
24
1
8
0
0
0
24
16
16
4
4
46
0
0
0
24
2
32
4
4
8
36
36
36
36
44
36
36
8
8
1
0
16
8
4
4
8
4
4
4
4
16
8
20
16
0
0
0
0
8
8
8
8
8
0
0
16
4
32
32
0
4
4
16
10
2
0
0
0
13
16
4
1
8
0
4
16
16
16
16
0
8
8
8
8
32
32
2
2
4
4
16
16
16
16
16
12
12
0
8
8
8
8
8
8
4
0
16
0
16
16
0
8
24
29
16
16
16
16
8
8
8
8
8
8
8
8
8
48
48
48
2
2
6
22
2
2
16
8
8
4
4
4
1
1
5
1
1
1
1
1
16
16
16
16
16
16
2
0
1
0
0
8
4
1
1
0
16
1
1
4
32
0
8
8
8
8
1
8
8
12
8
0
4
4
1
8
16
16
8
0
0
0
0
4
1
8
8
8
8
8
8
8
8
0
8
12
12
4
0
8
2
0
1
1
4
4
0
2
0
0
0
32
32
0
0
0
0
0
0
4
0
0
8
6
0
8
2
2
9
8
8
8
40
0
0
35
0
0
2
8
4
4
4
4
16
16
8
8
8
8
8
8
0
8
0
16
16
0
0
0
16
16
16
8
0
0
0
2
8
8
0
16
17
0
8
8
32
8
4
4
0
0
0
0
0
8
8
8
8
8
8
0
16
16
16
16
8
8
8
4
0
0
0
2
2
2
4
5
4
4
4
4
2
2
8
4
8
16
16
0
17
17
25
8
8
17
17
0
17
4
6
4
4
4
4
16
12
12
12
8
4
4
0
8
0
2
2
32
16
8
8
8
8
8
2
6
8
1
17
16
0
0
0
4
8
8
8
16
16
16
16
16
16
16
16
16
8
16
16
16
16
8
0
0
0
0
0
0
4
4
4
4
0
0
8
0
8
14
14
0
16
8
16
8
8
8
8
8
8
8
8
0
4
0
0
0
8
24
24
8
0
0
0
0
24
0
32
32
32
8
8
8
8
8
8
8
8
8
8
8
28
24
16
1
1
0
0
0
0
0
32
8
8
8
4
16
0
16
8
24
8
8
2
32
1
1
8
0
8
2
1
1
8
8
16
16
8
16
8
8
4
0
8
8
16
16
8
8
0
0
8
8
8
8
24
0
28
28
2
8
8
16
16
16
16
16
16
16
23
21
21
21
21
0
0
16
8
12
16
16
1
0
0
40
40
40
8
8
0
2
16
16
16
16
16
16
16
0
24
24
24
16
0
8
4
4
2
0
0
16
16
8
8
8
8
0
0
0
2
8
8
16
24
32
40
40
32
32
1
17
1
17
0
0
0
32
16
16
16
0
32
32
7
4
16
16
16
16
16
16
16
16
16
16
16
0
0
0
8
8
0
0
0
8
0
8
8
4
4
4
4
16
0
0
2
2
2
2
8
8
8
1
8
1
1
1
1
1
4
8
0
8
4
4
8
8
8
8
2
2
11
8
8
8
0
1
0
24
4
4
4
24
26
26
9
9
9
1
0
24
24
2
2
2
0
0
8
8
8
4
3
8
16
16
8
8
7
18
18
18
18
18
18
18
9
8
6
0
10
8
0
0
0
0
8
8
4
4
4
8
8
24
0
24
8
8
1
14
14
8
8
8
8
4
4
4
4
0
0
0
0
8
8
8
8
8
8
0
0
0
1
1
16
16
16
16
16
24
0
0
2
2
2
4
4
10
8
2
8
8
8
8
8
8
8
16
16
16
16
8
8
6
0
8
8
16
8
8
8
8
8
8
4
4
48
48
48
48
2
0
0
0
0
1
16
8
0
8
8
8
2
4
4
4
4
0
24
0
8
1
1
16
0
10
16
16
16
16
16
16
9
9
0
25
25
25
8
4
8
8
8
8
0
0
8
8
0
2
4
32
4
8
16
16
8
16
8
8
8
8
61
61
61
61
0
0
0
0
8
8
8
0
8
8
24
24
8
8
58
0
0
13
8
8
8
16
16
16
16
24
24
0
24
16
28
4
0
0
36
8
8
8
8
0
0
4
4
9
9
9
9
9
4
9
13
13
13
9
9
1
1
1
1
0
4
4
8
8
12
4
2
2
16
0
0
0
8
8
8
16
6
16
16
16
16
1
1
1
1
1
1
1
4
4
8
18
16
0
0
8
8
8
16
16
4
17
8
8
8
12
8
8
4
4
0
16
16
16
16
16
0
0
25
25
8
8
8
0
0
0
0
0
0
8
8
8
8
1
1
2
40
0
0
3
3
8
3
0
0
4
4
8
8
8
8
8
8
4
4
4
6
4
4
4
16
16
4
4
4
4
4
4
8
8
8
8
8
19
8
8
8
8
8
8
0
2
1
16
16
16
16
16
0
0
0
8
8
8
1
0
8
24
0
32
32
32
8
8
0
0
8
16
16
16
8
8
8
4
4
4
4
4
4
4
4
0
0
6
0
0
0
8
32
16
8
2
2
0
8
1
1
1
1
1
0
8
8
8
8
8
8
8
16
24
0
0
8
8
8
8
16
16
16
16
16
8
8
2
16
16
32
32
32
32
1
2
2
2
2
2
0
0
0
0
32
8
4
48
48
0
24
16
16
16
16
16
9
9
1
8
0
0
0
0
8
8
8
4
4
16
4
0
16
16
0
8
8
8
8
0
32
0
1
0
0
0
0
0
0
24
16
16
16
8
0
0
0
0
0
9
8
8
8
8
8
16
16
8
8
8
16
0
0
8
0
16
16
16
16
0
1
4
4
8
16
8
2
2
2
8
8
8
8
16
24
4
4
1
8
8
24
24
17
16
24
24
24
8
8
8
16
16
8
4
8
8
13
13
8
0
0
9
0
1
1
8
16
16
16
16
8
8
8
8
25
8
4
4
0
8
8
16
16
16
16
0
0
8
0
8
8
8
8
0
8
8
1
1
1
8
2
16
16
16
0
2
2
2
2
2
2
2
8
0
9
9
8
16
32
0
16
16
0
0
0
0
0
0
0
0
0
7
8
0
1
1
16
16
16
8
8
8
8
8
8
1
41
8
2
0
0
4
0
16
16
2
8
8
8
0
0
16
16
16
16
8
8
8
8
8
8
16
16
24
0
0
16
8
8
8
18
26
26
26
8
32
8
1
32
0
8
4
20
56
0
0
1
40
2
2
16
16
8
8
8
8
24
4
2
1
1
1
1
0
0
0
1
17
17
4
4
4
4
4
4
4
4
1
8
0
0
16
16
8
8
8
16
16
16
16
1
1
1
6
16
16
16
16
0
32
4
16
24
8
8
1
1
0
1
1
1
1
0
0
16
0
32
24
40
24
0
8
16
16
16
16
8
16
16
0
0
0
0
0
16
16
16
0
16
16
16
16
2
2
1
17
17
8
8
0
33
33
8
8
0
8
1
0
0
0
0
0
8
0
0
8
40
40
8
8
8
1
16
16
0
0
0
2
18
2
2
4
4
4
4
4
4
2
2
24
24
24
24
1
1
12
12
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
24
8
8
16
16
16
16
8
8
4
4
44
44
32
16
8
16
16
16
0
8
8
8
8
8
8
13
13
0
4
18
16
16
16
16
16
16
24
17
0
0
8
8
8
0
16
16
8
1
8
4
24
16
16
8
16
0
0
0
8
3
2
2
2
4
4
4
4
8
16
8
0
0
0
24
24
16
8
8
8
4
12
0
16
32
2
8
8
17
17
17
2
16
16
50
50
50
50
50
8
8
8
8
0
16
20
16
16
16
16
0
0
2
8
8
2
8
0
1
1
8
2
0
0
8
0
16
8
8
8
8
0
0
0
0
0
0
1
4
4
5
2
0
0
0
0
1
8
0
0
0
0
33
8
8
8
0
1
1
1
0
0
0
2
2
8
8
8
4
4
4
4
4
10
16
32
8
8
8
8
8
8
8
16
16
4
9
8
12
12
16
16
8
8
8
8
8
8
0
2
4
4
4
4
4
56
8
8
8
8
0
0
16
2
2
2
2
2
2
2
2
2
4
16
8
8
8
0
0
0
0
8
16
16
14
16
16
5
5
5
5
5
2
2
0
0
8
24
16
8
24
0
8
8
8
0
19
3
3
3
3
25
1
0
0
0
16
0
0
0
1
1
4
0
0
16
8
8
0
0
8
8
8
16
16
16
16
16
16
0
3
16
16
3
4
41
41
41
8
4
32
16
16
8
8
8
8
0
8
8
8
8
8
8
8
60
0
0
0
16
16
0
8
8
8
8
8
0
0
4
4
26
26
0
2
8
8
4
8
24
8
1
1
1
0
1
6
16
48
8
0
0
0
0
0
0
8
4
1
4
8
4
4
32
32
8
8
16
0
4
4
4
4
4
8
0
0
0
0
0
0
0
8
8
8
8
0
8
8
28
8
0
0
0
0
0
20
1
1
1
8
1
16
8
24
24
24
8
8
8
8
0
0
1
1
1
1
18
16
16
16
8
8
0
2
2
2
2
0
0
0
32
32
32
16
16
56
56
12
2
2
2
0
0
0
0
0
0
0
4
4
16
16
0
0
0
0
0
8
8
8
8
4
4
4
16
2
28
28
8
8
8
8
8
8
8
4
4
4
0
0
8
8
8
24
24
16
8
16
16
16
16
16
0
0
0
16
16
16
16
8
1
0
32
0
0
0
0
8
16
16
16
16
16
16
16
16
16
16
16
16
24
2
0
0
8
8
8
8
8
1
4
4
0
0
0
0
4
0
0
0
8
32
24
0
16
16
4
4
4
0
0
0
16
16
16
2
4
4
4
4
4
4
4
13
16
16
16
16
16
8
8
8
16
0
8
8
8
8
8
8
8
2
1
1
8
8
1
8
8
8
8
8
0
0
0
0
0
18
16
16
16
16
0
8
0
0
0
0
0
0
0
8
8
8
8
16
16
0
0
8
8
8
8
16
16
16
0
0
0
0
0
0
8
8
0
0
0
0
3
17
4
0
36
4
32
0
0
0
0
8
8
8
8
16
8
0
0
16
16
8
21
1
8
8
8
1
8
8
8
8
8
8
8
8
8
17
17
17
1
1
1
1
16
16
6
16
2
1
1
0
0
24
24
8
16
8
8
8
28
0
0
0
4
4
4
16
1
8
0
4
16
16
16
4
1
8
8
1
1
0
4
4
32
32
32
4
4
8
8
0
0
0
8
8
8
8
8
0
0
0
1
1
1
32
32
32
0
8
8
0
0
0
16
0
0
8
0
0
0
8
8
0
0
2
2
2
8
0
1
1
1
1
1
1
16
16
16
16
0
4
4
4
8
4
20
8
8
16
1
8
0
0
0
8
0
0
0
0
32
8
8
8
8
8
0
8
8
1
1
1
4
4
4
2
8
0
8
8
8
17
4
2
16
16
32
32
8
0
8
1
24
16
16
36
36
36
36
36
0
18
18
8
8
8
8
8
8
8
8
8
8
3
3
3
2
16
16
0
9
2
2
2
2
2
2
2
2
2
2
2
2
4
0
2
2
2
2
2
2
2
0
12
8
8
8
8
0
0
0
2
0
0
24
2
2
2
32
8
8
8
8
8
8
2
0
16
16
0
17
0
8
8
36
36
0
8
8
8
8
8
16
0
0
0
8
4
0
8
0
1
1
1
8
8
8
8
8
1
0
8
8
0
2
2
2
8
20
8
16
16
32
8
8
8
8
8
8
0
0
0
0
25
25
25
8
8
8
8
0
8
24
0
4
1
1
1
24
16
16
8
8
4
4
4
16
16
0
0
16
16
0
8
0
2
8
8
16
0
8
4
8
4
4
8
8
0
27
4
0
4
4
8
8
0
0
0
0
0
0
29
31
8
8
8
8
8
4
8
8
8
8
32
2
0
0
2
16
0
0
4
4
8
8
8
8
8
0
1
1
8
16
16
16
16
16
24
16
16
8
8
16
16
40
16
0
0
32
2
16
16
16
1
1
4
0
32
8
1
1
16
24
24
0
8
16
18
26
0
0
10
10
32
32
0
0
0
24
4
4
4
4
4
4
4
8
0
8
16
8
8
8
12
8
0
0
16
16
16
16
16
16
16
16
16
16
4
8
8
8
16
8
0
8
0
6
16
16
16
8
0
0
1
8
16
16
16
16
16
16
16
16
16
16
41
41
41
41
41
0
0
0
8
32
8
16
8
8
1
16
16
16
16
8
8
8
2
2
2
2
16
16
16
16
16
16
16
4
0
8
8
4
4
16
16
0
0
0
0
0
0
0
4
4
4
4
4
4
4
2
2
8
8
8
8
8
8
0
0
16
16
16
16
24
24
16
8
24
16
16
16
2
2
2
2
2
0
8
8
18
18
5
17
16
1
17
8
8
8
8
16
16
16
8
0
4
4
8
8
8
8
8
8
0
16
8
8
16
0
24
16
16
0
0
0
0
8
9
8
8
8
8
8
24
0
4
8
2
2
2
0
8
4
8
8
8
8
32
0
0
4
4
8
8
8
8
8
0
24
24
24
8
8
8
4
8
5
4
4
4
4
0
20
4
21
0
0
32
32
32
32
32
0
8
8
16
0
0
0
16
16
24
8
8
20
16
0
0
4
20
16
8
8
10
10
2
18
18
18
8
8
8
2
2
2
0
0
8
8
8
8
8
8
0
16
0
0
0
0
1
18
19
8
8
0
0
1
1
1
8
1
1
8
4
4
4
4
4
4
4
16
8
16
8
10
8
24
8
8
8
8
9
9
9
9
16
16
16
16
16
16
16
16
0
0
36
36
4
0
0
0
8
0
8
0
8
1
1
16
24
16
16
8
16
8
2
2
4
4
4
4
8
8
8
1
1
1
1
4
0
4
4
20
20
20
1
8
52
52
2
0
4
16
16
16
2
11
2
2
0
0
32
32
32
0
33
33
32
8
8
8
0
0
0
0
32
16
16
8
0
16
16
16
16
0
0
16
0
2
16
4
4
1
8
0
8
8
8
8
8
18
8
8
0
0
0
0
4
4
0
0
1
1
8
8
8
8
8
8
8
0
0
2
1
0
0
16
0
8
8
8
8
16
16
16
16
16
16
16
16
8
8
8
32
8
4
4
4
2
4
16
16
20
0
16
1
1
1
1
8
8
8
0
0
8
1
1
1
1
24
16
16
16
8
8
8
8
8
16
16
8
16
16
20
28
28
0
0
24
16
16
4
4
4
4
1
0
1
17
1
1
0
8
8
8
8
24
16
16
16
24
24
8
0
0
0
0
0
0
0
0
8
8
8
8
16
16
16
16
57
16
16
8
8
16
16
16
16
16
16
8
8
16
8
8
8
1
1
0
0
8
8
8
8
8
8
16
8
8
8
8
8
1
23
1
4
20
4
4
4
16
16
16
16
16
16
16
4
10
8
4
4
4
4
4
4
4
4
4
4
4
8
24
24
49
49
49
0
0
2
16
16
16
16
16
16
16
16
8
44
44
44
16
0
0
8
16
8
8
8
8
8
8
5
5
4
4
4
20
16
16
16
16
16
16
16
16
4
4
16
16
8
8
8
2
0
6
8
8
8
8
16
16
16
16
21
21
21
21
21
32
32
32
8
8
8
8
8
16
0
0
0
16
8
2
4
1
8
8
8
8
8
16
16
16
8
8
8
8
8
8
9
8
8
8
8
16
16
28
8
12
8
0
8
0
4
4
4
0
0
0
8
20
0
8
8
0
8
8
8
8
16
16
32
32
16
0
4
24
24
24
1
0
8
8
8
24
2
10
10
10
10
2
16
25
25
25
4
8
8
0
8
0
20
16
20
12
12
4
32
0
0
16
16
16
16
8
1
1
12
13
4
0
16
16
16
16
16
16
16
16
16
16
0
0
0
1
1
1
0
0
8
16
16
16
28
28
28
28
28
10
0
4
4
4
0
16
17
4
4
4
8
16
16
16
1
8
8
8
0
0
1
0
0
8
8
0
8
8
0
0
16
16
0
0
0
4
0
0
16
0
0
0
0
16
16
16
4
4
4
4
4
4
4
24
16
16
16
1
1
2
8
8
9
11
31
11
11
2
4
4
8
56
0
2
8
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
8
0
32
0
16
0
8
8
8
60
8
4
16
4
8
8
0
8
8
0
8
0
19
3
16
1
1
0
0
0
16
16
16
0
16
16
16
1
0
24
8
8
0
0
2
0
8
8
0
16
16
16
16
0
4
4
3
8
8
29
0
0
0
1
1
1
0
0
0
0
0
0
8
8
1
1
1
0
16
16
16
0
2
8
8
24
24
16
16
0
8
2
2
18
16
16
16
16
16
16
16
0
16
0
16
0
0
0
0
0
8
0
8
8
16
16
16
16
16
8
8
8
8
8
8
4
24
8
8
8
16
16
1
1
1
16
2
8
2
2
0
8
8
8
8
1
8
8
4
4
4
4
8
8
0
0
32
32
4
4
4
4
4
0
0
0
0
16
16
16
4
4
4
4
0
0
16
16
16
16
16
0
24
4
0
0
0
0
8
16
16
16
4
0
16
16
4
8
16
16
32
32
28
12
0
0
8
8
8
8
8
8
0
8
0
16
16
8
1
17
17
0
0
0
26
26
2
2
2
2
32
0
0
0
0
8
8
16
8
8
8
8
8
32
32
0
0
0
0
0
0
1
1
0
2
8
8
8
9
0
2
2
2
2
2
0
0
8
0
4
4
4
4
4
0
16
16
16
0
8
24
24
0
1
4
4
0
0
4
4
4
4
4
1
8
22
0
0
0
1
16
16
16
16
0
0
8
8
0
17
1
0
0
0
0
0
8
8
8
6
0
3
24
8
0
37
37
16
16
0
16
2
3
4
4
4
4
4
4
4
4
4
4
4
8
8
0
0
16
8
1
1
1
1
1
1
4
4
4
8
8
8
16
24
62
0
8
8
12
12
12
12
8
4
4
1
8
8
8
8
8
8
8
8
8
8
1
17
1
8
4
16
16
16
16
16
8
24
8
8
8
16
16
2
16
0
0
16
16
16
16
16
16
0
0
8
8
4
4
20
8
8
8
8
4
4
4
1
16
16
16
8
8
0
0
8
8
8
8
8
8
8
0
0
0
0
0
8
2
2
2
2
1
1
8
49
49
16
16
16
16
16
16
8
8
8
8
8
4
4
4
4
4
4
4
4
16
8
8
8
8
8
8
8
8
16
16
0
4
8
16
1
1
8
8
8
8
8
0
0
0
0
16
0
40
8
8
8
8
2
2
8
8
8
8
8
8
4
4
8
8
32
8
8
8
8
2
2
2
2
2
2
52
52
14
14
2
2
8
8
16
16
8
8
8
8
16
16
28
16
16
8
2
16
16
0
0
8
8
2
2
8
8
8
16
0
0
0
0
16
16
16
16
16
1
1
1
0
0
0
0
1
1
1
16
8
8
32
32
32
32
32
0
0
4
0
0
0
2
18
24
0
0
8
8
32
16
8
4
4
4
1
16
22
16
16
1
16
16
8
4
2
0
0
8
1
0
0
18
16
1
1
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
8
8
8
8
16
16
16
16
16
16
8
8
8
0
0
16
16
0
0
8
8
8
8
0
4
4
16
4
8
8
0
0
0
0
4
4
0
16
8
8
16
16
16
16
16
16
16
0
0
8
0
8
8
8
1
24
8
8
8
0
0
24
24
16
18
19
1
1
1
1
0
0
0
0
0
4
4
0
0
1
1
8
8
2
2
2
2
8
8
16
16
2
0
0
0
32
48
16
16
4
4
1
1
0
8
8
0
24
24
24
16
16
24
24
0
0
0
0
8
8
8
8
8
8
8
8
8
8
0
8
8
16
16
16
1
1
16
20
20
16
16
16
28
28
56
8
8
8
8
0
33
33
16
16
16
8
16
16
8
8
8
0
0
0
0
0
0
48
16
16
16
16
16
8
0
1
1
1
1
24
0
0
0
0
0
16
0
16
0
4
4
4
4
4
1
1
16
16
16
4
4
4
0
0
8
8
0
0
0
0
16
16
0
0
16
18
24
16
4
4
8
0
0
0
0
8
16
8
8
8
8
16
0
24
8
8
8
17
17
17
17
16
16
8
16
8
8
0
20
28
16
1
1
1
8
8
4
4
4
4
4
18
0
0
0
0
0
0
2
56
56
8
8
8
1
8
8
8
10
10
8
16
16
16
1
1
0
0
0
2
26
2
32
32
32
32
32
32
32
0
1
1
1
2
1
1
0
6
6
20
8
8
8
4
4
4
24
0
16
16
16
8
8
40
40
40
24
24
24
1
1
1
1
16
16
56
0
8
16
8
16
16
6
0
2
2
2
2
2
4
2
2
2
0
1
2
4
16
16
9
9
8
12
2
2
1
8
8
8
8
8
16
2
2
8
8
0
32
0
0
2
24
0
0
17
17
17
17
8
0
0
4
4
4
4
8
8
12
12
12
16
16
16
16
16
16
0
28
8
8
8
8
8
2
2
2
2
0
0
0
8
8
8
16
16
16
16
16
16
32
32
32
0
0
0
0
1
1
8
8
0
16
16
16
16
4
4
8
4
16
16
4
4
4
4
16
16
8
8
8
8
8
8
8
8
8
2
2
16
16
16
8
8
16
16
16
16
16
4
20
4
32
0
0
0
8
8
8
0
16
24
16
16
16
16
6
2
2
2
1
1
1
20
20
20
8
8
0
8
16
4
4
61
0
32
32
32
32
32
16
16
16
0
8
8
8
8
2
8
10
9
9
8
8
8
0
16
8
8
8
8
8
2
16
16
1
1
1
1
1
1
1
1
1
0
0
4
4
0
1
1
1
1
1
4
4
8
8
16
16
8
24
2
2
24
0
0
0
8
8
0
0
40
8
4
4
4
16
16
16
16
16
16
16
16
8
0
0
8
1
1
1
1
8
8
8
8
0
16
16
16
25
1
1
1
1
0
0
40
16
20
16
16
16
16
8
8
0
0
8
8
8
8
0
9
8
32
32
32
0
8
40
40
40
40
40
25
9
20
20
20
2
8
8
8
35
35
16
16
16
32
8
8
8
8
0
0
8
4
0
0
8
8
4
0
16
8
24
8
2
2
32
12
0
0
0
0
0
0
4
0
2
4
4
4
8
8
8
8
0
8
8
0
0
2
2
8
8
2
2
0
0
0
16
16
24
24
24
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
9
9
9
36
4
8
8
8
8
16
16
32
32
0
8
8
8
8
8
8
9
8
8
8
10
10
10
8
2
5
5
36
36
36
16
2
0
8
8
24
16
16
13
32
33
32
32
32
32
8
8
8
8
16
8
4
8
1
1
8
8
8
0
8
8
8
8
8
8
20
4
16
8
8
8
16
16
0
8
8
8
2
2
8
8
8
8
2
8
8
16
2
16
8
2
2
16
16
16
4
4
4
6
6
0
16
26
8
0
8
8
34
4
4
12
9
8
8
10
16
16
16
16
18
20
20
20
16
16
0
8
8
8
8
8
4
4
16
16
16
16
0
16
1
0
0
0
0
0
0
0
16
16
16
16
24
4
4
0
0
32
32
0
0
0
16
16
16
16
16
2
2
2
2
2
16
40
40
0
8
8
0
9
9
8
8
8
8
8
9
8
8
8
8
8
8
8
8
8
8
8
16
17
0
17
16
16
16
9
0
0
2
2
2
2
2
2
2
0
0
0
0
0
0
2
0
0
0
0
0
4
8
16
16
2
1
1
1
1
1
1
2
32
16
9
0
8
2
2
8
8
32
32
0
0
16
8
8
8
8
8
16
16
1
16
16
16
16
16
0
4
4
4
4
2
2
2
2
2
2
8
8
8
8
8
4
4
4
16
8
8
16
16
0
0
0
0
2
2
2
2
2
18
16
16
16
16
8
8
9
9
9
8
8
0
0
0
1
8
8
40
4
4
4
24
0
0
0
0
24
8
0
8
8
8
8
0
16
8
4
0
0
0
0
1
1
1
0
0
4
4
8
24
16
16
8
0
7
1
1
1
1
1
0
0
16
16
16
16
16
16
0
0
1
9
1
1
16
24
0
0
0
0
16
16
16
1
0
0
8
8
8
16
16
16
16
0
8
16
1
8
8
8
8
8
8
8
8
8
8
8
8
16
10
4
16
2
16
16
16
16
16
16
32
32
16
16
1
8
8
8
7
17
1
1
1
1
1
4
4
4
8
0
16
8
8
4
24
24
8
8
8
0
16
16
16
0
0
20
4
4
4
4
4
8
8
8
0
3
3
3
3
3
16
2
8
8
8
8
8
24
2
8
4
4
4
24
8
8
0
4
16
8
8
8
8
8
8
8
8
1
1
1
1
1
1
8
2
2
2
2
8
0
8
8
8
8
8
12
0
8
8
1
8
0
24
8
8
8
2
8
0
0
16
0
16
18
18
16
1
1
1
1
16
16
8
8
0
8
24
24
8
1
1
1
1
1
1
1
8
32
8
33
33
33
33
33
33
0
0
20
8
8
0
16
16
16
8
8
0
2
16
16
16
16
4
4
16
16
0
16
8
0
16
16
16
16
0
0
0
0
0
1
1
2
1
0
0
1
8
4
8
40
0
24
12
8
1
3
3
3
3
24
16
16
16
38
38
38
38
38
38
38
38
12
0
24
0
12
1
16
8
8
8
0
0
0
4
4
4
4
12
0
8
0
0
8
8
16
16
16
0
0
24
8
0
2
2
0
16
8
0
1
1
1
0
16
16
24
24
8
1
1
0
14
30
16
0
1
1
21
21
0
2
2
8
8
8
8
8
8
1
1
8
0
8
8
8
8
8
8
8
8
8
16
8
8
8
0
0
0
4
4
4
6
4
9
3
20
17
16
24
8
8
24
24
28
24
24
8
0
0
8
4
4
4
16
16
8
16
16
16
8
8
8
4
4
0
0
0
41
41
0
0
0
0
8
24
0
8
8
8
2
2
14
2
2
2
8
16
8
13
8
8
1
56
56
8
8
8
8
8
8
8
24
0
8
0
0
16
16
32
8
0
4
4
4
4
8
8
8
8
8
60
8
0
8
8
0
0
0
0
0
0
0
0
0
0
12
12
8
8
1
24
16
16
8
8
8
16
16
16
8
8
0
16
24
1
1
1
1
8
16
16
16
16
16
16
8
8
0
0
0
8
8
8
8
8
8
8
0
8
8
0
32
32
32
32
1
1
1
1
20
2
8
17
17
4
4
8
8
0
8
12
4
2
2
0
1
1
33
0
1
1
16
16
16
32
32
0
0
0
0
0
0
0
0
8
8
8
16
16
16
16
16
1
32
32
8
8
8
16
21
13
8
1
1
1
0
8
8
8
8
8
8
8
2
2
39
8
8
34
5
5
12
4
4
4
17
1
8
16
8
8
8
16
18
18
18
18
0
1
1
1
1
16
16
16
8
8
8
8
11
8
8
8
8
8
32
32
1
1
1
19
4
16
16
16
16
16
16
24
16
0
0
0
1
0
0
0
24
24
24
24
0
0
0
8
8
8
0
8
8
8
2
2
2
2
2
0
4
8
0
16
24
0
0
6
4
16
16
8
8
8
0
0
2
2
2
8
8
4
1
24
8
8
8
0
0
0
0
4
4
4
0
0
0
16
18
16
16
18
19
19
16
4
4
8
24
16
16
1
13
8
8
8
12
1
1
0
0
0
0
4
4
4
4
4
8
0
0
0
8
8
0
12
12
12
12
8
4
4
1
1
1
1
1
0
8
8
8
8
8
8
8
1
2
8
8
8
8
8
0
0
0
0
0
0
0
16
32
32
32
2
0
8
16
1
0
16
8
8
0
8
8
8
8
8
8
8
8
16
24
8
8
8
4
4
4
4
4
2
18
18
4
4
4
2
2
8
16
16
2
4
4
4
4
4
0
9
8
16
8
16
16
16
8
0
62
62
16
16
0
16
8
8
8
8
8
8
8
8
8
0
8
8
8
8
8
8
2
18
16
16
8
8
4
4
6
6
16
16
0
0
0
0
0
0
0
0
8
8
24
8
16
0
0
2
16
16
0
16
16
16
2
2
2
1
20
4
4
8
8
8
8
8
8
8
4
42
8
16
0
9
9
32
32
32
32
32
8
24
8
16
16
16
16
0
1
8
1
8
0
0
8
24
8
8
8
0
2
0
0
0
0
0
0
0
6
8
0
0
0
0
0
16
16
17
8
8
8
8
0
8
8
0
0
8
8
4
4
4
8
4
0
2
2
0
4
4
4
4
32
55
32
40
40
8
8
16
16
1
8
4
4
4
16
4
4
0
20
20
0
0
0
8
8
16
16
16
16
16
8
4
8
8
8
8
0
8
1
0
0
17
17
17
2
0
0
8
8
16
16
8
2
0
8
8
8
8
8
16
16
16
1
1
0
32
32
8
8
8
8
8
8
0
0
4
8
8
8
0
0
0
0
0
1
1
12
8
8
8
8
32
0
0
0
0
8
20
20
16
0
0
18
18
18
0
0
0
0
60
60
60
60
4
8
8
1
4
0
0
0
0
16
16
16
18
0
8
12
9
9
16
0
8
12
8
24
24
8
8
16
9
9
9
1
1
1
1
0
32
0
20
19
19
19
8
8
8
8
24
16
16
16
16
16
0
0
7
7
7
0
0
1
16
16
16
16
16
16
16
20
2
2
2
0
8
8
8
56
56
56
0
17
17
8
8
0
0
0
8
16
16
8
2
8
8
8
0
0
0
0
0
0
1
1
1
8
16
16
16
16
8
1
1
1
1
8
8
8
0
0
0
8
17
0
0
4
0
1
1
4
4
4
16
12
12
12
41
8
0
8
16
24
0
8
8
0
0
0
0
8
8
8
8
8
1
1
0
32
32
32
8
16
16
16
16
16
0
16
16
4
4
4
4
0
0
16
0
0
0
4
20
5
5
5
10
10
16
16
16
16
16
8
8
18
4
20
4
8
8
56
16
0
0
0
8
8
8
20
0
0
24
8
8
57
10
8
8
16
16
16
0
0
16
25
2
24
16
16
2
8
8
0
8
8
4
4
8
0
0
0
0
0
0
0
0
8
8
8
8
8
16
0
0
16
8
8
0
8
8
8
8
6
4
16
0
8
8
8
8
32
1
1
17
17
17
8
8
8
16
0
20
20
20
22
20
16
16
16
0
4
4
32
0
1
1
1
6
24
6
8
24
24
0
8
16
6
16
16
16
0
8
1
16
8
25
17
17
17
17
0
0
4
12
0
0
0
4
8
8
8
0
24
8
8
0
4
36
44
8
8
16
16
0
0
0
16
16
25
8
24
8
15
0
0
8
25
16
16
16
16
16
16
16
4
0
0
20
20
20
8
0
8
16
0
0
0
0
0
0
0
0
0
0
4
0
0
2
4
0
8
8
8
8
8
8
0
16
0
60
28
28
12
16
16
16
56
8
8
8
1
1
0
0
8
8
8
8
16
1
1
0
0
0
0
0
8
0
0
8
8
8
8
8
12
8
0
0
0
16
16
16
16
16
8
8
8
8
8
8
16
16
1
8
8
8
8
8
8
1
0
24
24
40
32
16
16
0
8
0
8
4
16
8
8
8
8
2
2
0
32
36
0
0
0
0
0
0
16
16
16
8
8
32
4
4
4
0
16
4
16
8
8
8
8
8
8
8
16
0
24
8
8
8
16
4
0
0
16
0
2
2
2
2
1
1
0
8
8
8
8
8
8
8
16
16
16
16
16
16
16
4
4
4
4
0
9
8
8
8
8
24
8
16
16
16
16
16
0
24
32
16
8
8
8
8
8
8
8
8
8
8
12
16
16
16
8
16
8
8
8
8
0
1
1
1
1
1
1
2
2
32
32
18
18
2
20
16
4
16
16
16
0
0
0
10
10
1
1
1
1
8
8
0
8
8
16
16
16
22
16
16
16
16
8
8
16
16
16
8
24
8
0
6
0
8
8
8
8
8
8
8
0
8
8
20
0
24
24
4
32
32
32
32
32
0
0
0
0
0
0
8
0
4
0
8
16
16
16
16
16
0
16
8
8
4
4
4
16
8
8
8
8
8
8
0
0
0
1
1
1
32
0
8
8
1
1
4
8
8
8
8
8
2
8
8
8
8
0
0
0
8
8
2
16
16
32
32
32
32
20
8
8
8
16
8
16
16
0
16
8
8
0
0
8
8
8
8
0
0
32
8
8
8
16
8
8
0
0
0
9
9
9
9
0
16
2
8
4
0
0
0
0
8
24
24
16
8
40
2
10
8
8
20
0
0
1
1
8
0
0
0
0
0
0
0
0
0
16
16
36
36
36
36
4
8
8
2
6
2
2
28
8
8
8
8
20
20
20
20
2
57
57
1
1
8
8
0
8
8
6
4
4
1
24
8
8
8
0
16
37
37
37
37
8
8
8
16
20
4
0
0
0
0
0
0
0
8
8
8
16
16
0
0
0
4
4
4
0
0
0
6
24
8
16
8
0
4
4
8
4
0
0
0
0
51
0
16
8
8
8
8
8
8
8
8
16
16
8
8
8
20
16
16
16
16
16
16
5
16
16
16
16
0
16
16
16
8
0
0
0
0
20
16
16
16
8
4
8
0
1
1
17
16
0
20
20
0
0
0
2
2
16
2
2
2
2
8
20
8
4
16
16
8
8
8
24
8
8
1
16
16
16
8
24
16
16
16
16
19
4
4
8
32
32
32
16
16
16
16
16
16
16
2
0
0
0
0
2
0
0
32
32
32
0
0
0
0
8
8
0
8
8
8
0
4
4
4
8
8
8
8
27
19
18
0
0
8
0
0
8
8
8
16
16
16
4
16
16
24
16
16
16
8
8
0
2
0
0
8
16
24
24
48
16
16
16
8
0
4
0
24
4
4
4
0
0
0
0
5
16
8
8
16
0
0
0
0
0
0
0
8
0
1
1
24
8
8
9
4
4
4
4
22
24
24
24
24
8
22
22
22
4
4
32
32
1
1
1
8
8
8
40
8
8
8
8
8
8
8
8
8
18
18
18
0
0
16
0
8
16
16
16
16
0
2
17
1
1
5
1
8
8
32
0
0
0
2
2
1
50
8
8
16
4
4
0
8
8
0
8
8
8
8
0
16
0
0
0
0
16
4
8
8
2
2
2
2
2
2
2
8
8
8
8
16
56
32
40
32
40
32
32
32
0
16
16
16
16
8
8
8
0
8
8
8
4
8
4
4
0
0
20
21
0
12
12
12
4
4
24
8
16
0
0
8
0
0
8
0
8
8
0
0
0
0
0
8
8
20
8
10
10
10
8
8
8
8
8
8
1
1
0
0
0
0
40
40
0
0
8
8
8
12
12
12
8
0
16
8
8
16
8
8
8
4
4
24
8
0
0
0
16
16
16
16
16
1
1
16
16
16
0
0
0
0
0
8
16
8
8
8
8
1
1
1
1
8
8
16
16
16
49
16
8
8
8
24
8
0
16
8
8
8
16
1
1
0
48
48
48
4
4
6
16
16
0
8
8
1
28
1
0
1
8
8
0
0
8
16
16
16
16
16
4
4
0
0
0
16
16
16
16
0
16
0
0
1
1
32
32
8
8
16
16
0
8
1
1
1
16
20
4
16
16
16
0
0
16
16
16
16
16
16
40
40
40
2
2
16
4
0
2
2
8
8
8
8
8
0
0
16
49
49
8
8
0
0
1
1
1
4
4
0
20
20
16
1
8
5
8
8
0
0
0
16
16
16
8
8
8
8
8
1
8
16
16
6
6
0
4
1
1
16
16
16
16
16
16
8
16
0
0
0
0
24
2
0
32
32
24
24
16
0
0
0
8
4
4
4
32
4
8
8
8
8
8
8
32
32
0
21
4
0
16
16
8
8
36
36
19
8
8
8
8
9
0
1
1
0
0
4
4
8
0
0
2
8
8
0
8
8
8
8
8
8
8
8
20
20
4
16
16
16
0
8
8
16
16
16
8
8
8
8
8
8
1
1
0
0
8
0
0
4
1
1
1
24
24
0
0
16
16
9
1
36
36
4
0
0
0
0
32
16
24
16
16
0
16
41
0
2
2
4
4
0
2
40
1
4
4
4
0
8
24
24
1
4
0
8
8
8
16
16
16
20
20
8
8
16
1
1
1
1
0
2
16
16
12
0
2
8
0
8
8
8
8
8
4
4
4
0
8
0
8
8
40
40
8
8
8
2
2
2
16
16
8
8
8
8
16
24
24
24
24
24
24
24
0
0
8
8
33
33
32
1
4
0
32
4
1
1
1
1
1
1
1
1
1
1
1
28
16
16
16
0
0
0
0
4
17
21
21
21
16
16
2
2
16
16
2
1
1
1
8
8
8
8
8
8
0
0
0
0
0
0
0
0
8
0
0
8
8
8
1
0
16
16
4
4
4
0
0
16
23
23
23
23
23
8
8
8
8
1
8
16
16
16
16
0
20
8
0
24
4
4
4
16
8
8
2
4
17
17
17
17
8
12
12
8
16
16
16
16
18
0
1
4
1
2
2
0
0
1
16
12
4
16
0
8
8
8
8
9
16
32
32
32
16
8
8
8
2
2
2
2
8
8
8
8
8
8
8
8
0
0
17
8
24
24
24
2
2
32
32
32
0
16
8
32
32
32
16
16
16
16
16
16
16
2
2
2
16
1
4
4
8
8
8
0
24
4
4
8
8
4
0
16
32
32
32
32
16
4
16
16
16
16
16
16
20
4
16
1
1
1
8
8
8
16
16
16
16
0
8
8
8
8
8
8
26
26
2
8
8
0
0
8
8
8
8
8
2
2
2
0
0
0
52
0
8
0
0
0
0
1
17
1
1
8
8
24
24
20
20
9
0
8
8
0
0
0
0
0
1
1
16
16
16
8
4
2
4
4
4
4
4
0
2
0
0
16
16
8
8
8
8
8
8
8
8
8
4
8
8
10
8
8
8
8
8
8
16
16
16
16
48
0
4
1
8
8
4
16
16
4
8
8
8
8
8
0
0
0
0
8
4
4
12
16
16
16
0
0
8
0
10
8
52
52
8
25
16
16
16
16
17
16
4
4
0
16
8
8
8
12
12
4
4
4
0
0
16
16
4
8
2
2
2
24
32
32
32
32
32
32
16
0
0
0
0
0
16
0
8
8
8
8
8
8
8
4
4
4
16
1
3
0
8
4
4
32
32
32
32
8
8
8
8
28
28
16
16
16
8
8
8
8
33
1
40
32
32
32
0
0
0
52
16
2
2
22
22
22
8
8
8
16
0
0
8
8
8
8
16
12
4
16
16
0
0
0
0
0
0
8
8
8
2
2
2
2
2
2
16
16
8
8
8
8
10
8
8
8
8
2
8
24
16
0
0
8
1
17
16
19
16
0
0
16
16
32
32
16
16
1
8
2
2
0
8
8
0
0
0
0
0
24
0
0
2
2
16
24
8
32
17
17
0
16
16
8
0
0
0
0
0
4
2
2
0
24
2
27
20
20
8
16
16
8
8
8
8
4
4
4
4
4
16
8
8
8
8
8
16
16
16
16
17
17
8
4
8
8
8
8
8
6
0
0
8
8
8
8
8
0
24
8
8
8
0
0
0
0
8
4
4
0
0
1
1
1
8
8
8
8
8
8
0
0
0
4
4
1
1
5
16
16
20
24
4
4
16
16
16
8
24
16
16
16
0
0
4
4
4
4
0
1
1
1
1
1
16
8
8
8
8
0
0
0
1
1
4
20
16
16
8
8
8
8
8
33
1
8
8
8
8
16
1
32
32
24
0
4
8
0
4
4
4
34
0
8
0
0
1
16
6
12
12
12
8
8
8
28
4
4
4
4
4
4
4
4
8
8
8
8
4
4
4
4
16
0
24
24
24
24
24
0
0
1
0
0
0
0
8
0
12
0
0
0
0
2
2
8
2
2
8
8
0
0
0
8
8
0
0
0
9
9
1
1
1
2
2
2
2
16
16
0
16
16
2
0
0
8
4
0
0
0
0
2
16
0
1
0
2
2
16
4
4
4
4
4
4
4
4
4
4
20
24
16
16
0
4
4
16
16
8
28
8
6
2
2
2
0
0
4
4
4
0
0
2
2
0
4
0
16
16
4
4
4
8
8
8
8
8
8
8
0
0
0
0
1
4
1
1
1
8
8
8
0
0
0
0
0
0
8
8
8
16
16
8
8
12
8
40
1
1
0
0
16
24
0
0
16
16
16
16
26
4
0
16
16
16
16
0
8
8
8
8
8
16
16
8
1
2
2
2
8
8
24
8
8
8
8
8
16
16
16
16
8
8
8
8
8
16
0
0
8
2
8
28
8
8
8
8
8
8
20
24
24
24
0
0
2
2
2
16
8
8
0
16
16
8
8
8
0
8
8
8
8
8
8
28
8
8
8
8
9
8
0
8
8
8
24
24
24
8
20
20
0
0
16
8
8
32
32
32
32
0
0
0
8
8
0
0
8
8
24
26
26
24
0
24
8
8
8
8
16
0
32
32
32
32
32
8
0
0
0
0
16
16
16
1
17
17
8
16
16
2
0
3
2
1
1
1
1
0
0
4
37
36
20
16
16
16
8
0
0
0
0
24
16
16
8
8
0
0
0
0
0
0
0
0
0
0
8
4
4
8
0
8
8
8
8
8
8
0
8
2
0
0
0
4
0
8
8
7
7
7
7
0
0
0
1
32
32
1
1
1
8
8
0
0
4
4
4
4
4
8
8
0
0
8
1
0
0
1
1
16
0
1
0
0
0
0
4
32
32
8
8
8
8
0
0
0
4
4
6
6
6
6
2
16
24
8
8
8
0
0
0
8
16
16
0
1
1
18
18
0
8
8
8
8
8
8
8
8
8
16
16
16
16
16
16
16
16
16
16
32
32
32
0
8
4
4
2
16
16
1
1
1
1
1
1
1
1
20
20
16
42
8
8
8
8
8
8
0
0
2
2
16
16
8
8
8
12
17
17
16
24
1
1
16
16
4
4
4
4
4
0
8
8
8
24
24
8
8
16
16
16
16
1
1
1
1
1
18
18
18
16
16
8
8
8
18
16
2
8
8
8
0
0
0
0
8
16
0
10
10
8
8
8
24
8
16
8
16
16
4
4
4
4
4
4
8
24
8
0
4
4
0
0
4
2
2
2
2
2
24
24
24
8
0
16
16
4
4
0
8
8
16
24
8
16
16
16
0
0
3
3
2
2
2
2
16
4
8
16
4
4
4
4
0
1
1
1
8
8
0
0
4
4
4
0
0
0
16
0
0
8
8
8
8
20
20
16
17
16
16
16
8
24
4
16
4
8
8
8
8
2
2
2
2
2
0
0
0
0
0
16
32
32
33
33
8
0
0
0
16
17
8
18
18
0
8
8
8
16
0
48
0
0
16
2
2
2
16
16
16
16
16
0
0
16
1
2
0
0
8
8
16
8
16
8
8
2
2
2
8
8
0
4
0
0
0
4
8
1
0
0
8
8
8
8
0
0
0
8
8
8
0
1
16
16
2
16
16
16
16
16
8
8
8
8
8
24
32
0
0
0
16
16
16
16
8
8
8
8
0
0
0
0
8
12
12
41
8
8
32
32
8
32
32
16
16
0
0
24
24
48
16
8
8
4
16
8
16
16
16
16
16
16
16
18
18
0
10
8
10
16
16
2
2
2
16
16
0
0
0
0
0
0
1
1
16
16
16
16
10
14
10
10
10
8
8
8
0
0
0
1
1
1
1
0
1
16
0
8
8
8
1
16
16
8
8
8
8
0
0
16
16
0
0
0
0
8
8
8
8
8
8
8
8
16
17
0
5
5
5
5
8
0
8
8
0
24
4
4
4
16
16
16
8
24
28
28
28
8
8
4
4
8
8
8
8
46
4
8
2
1
3
3
8
16
8
8
8
8
8
8
24
8
8
8
8
8
8
17
0
0
8
8
8
8
8
8
16
16
16
8
8
0
0
0
0
16
8
12
4
8
24
2
8
16
16
16
8
32
4
4
4
8
8
0
8
8
8
8
0
0
0
0
8
8
8
8
8
8
16
16
16
0
0
8
8
20
4
4
20
4
4
4
8
16
16
16
16
16
0
0
0
4
18
3
24
1
1
1
1
1
8
16
4
0
16
16
0
16
16
16
0
0
0
0
0
8
8
8
8
8
0
0
0
0
0
8
8
8
8
8
16
8
4
4
4
6
8
0
0
0
8
8
8
8
0
0
2
2
2
16
4
4
8
8
0
8
32
16
0
8
4
0
0
0
8
1
0
8
8
8
8
4
0
0
0
0
2
4
8
8
8
1
8
8
8
8
8
2
8
1
16
16
16
0
0
8
8
8
8
0
0
16
0
0
0
0
0
34
0
7
2
4
4
4
4
4
4
0
1
0
16
0
8
0
0
0
8
8
8
0
0
0
0
0
8
8
8
8
4
4
4
4
4
18
18
34
34
34
34
8
8
8
8
8
1
8
8
8
1
1
1
1
9
0
0
0
0
0
0
0
0
0
8
8
8
8
2
0
8
16
16
16
8
8
8
8
8
8
8
20
20
4
23
16
16
0
0
24
24
24
24
0
32
32
16
8
8
0
0
4
4
8
8
16
0
8
8
8
8
8
8
8
8
0
8
4
4
0
4
4
2
2
8
0
8
8
4
4
4
17
8
2
16
16
8
8
8
8
0
0
0
0
44
32
8
8
4
8
4
4
2
8
4
4
4
4
4
4
8
8
0
8
8
0
0
8
8
8
8
8
8
8
3
3
24
16
16
24
1
1
1
1
24
8
8
8
0
16
16
2
2
2
2
32
3
3
3
3
0
8
8
2
4
4
4
1
16
16
0
32
48
32
32
32
24
24
24
8
8
24
8
0
4
4
4
8
8
0
4
8
18
18
8
4
24
0
0
16
16
0
8
8
8
8
8
0
0
33
16
0
2
2
8
0
16
16
16
8
8
0
0
0
8
8
8
8
1
32
0
0
8
8
18
0
0
0
16
16
16
16
8
8
8
26
24
0
0
0
0
0
2
2
2
24
32
32
32
8
0
8
28
1
1
32
0
0
8
16
8
4
16
4
0
22
22
22
22
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
4
32
16
8
2
24
16
8
62
0
8
8
0
1
16
16
16
26
8
8
8
8
8
8
8
0
8
8
8
0
8
16
16
12
4
8
8
8
0
0
0
0
0
8
8
33
33
48
0
0
6
22
6
0
8
30
0
0
8
8
8
8
8
16
16
4
4
4
0
32
32
32
32
32
8
0
1
1
1
1
8
8
8
4
8
16
8
8
8
32
24
8
8
0
16
5
16
16
0
8
8
8
4
4
4
0
40
8
8
8
8
8
20
16
4
8
6
6
6
16
8
8
8
2
6
6
4
0
0
20
20
20
16
8
12
12
2
8
8
8
8
8
8
8
4
4
4
8
0
8
1
1
1
0
5
4
4
4
38
12
18
16
16
16
1
0
1
24
2
2
2
2
8
16
8
8
8
8
8
9
4
4
4
4
4
16
20
16
1
2
2
8
4
4
4
4
8
4
4
4
4
4
8
8
8
8
20
20
16
16
16
8
8
8
32
32
0
0
8
8
8
8
8
8
4
4
8
8
0
0
0
0
24
24
24
16
8
8
4
4
1
24
24
4
1
1
1
1
1
8
8
8
16
16
16
0
0
0
0
16
16
0
32
8
4
4
4
8
32
32
32
32
32
0
8
0
8
8
8
8
8
36
8
16
16
48
0
8
8
4
20
23
23
0
8
8
0
0
0
0
0
0
0
0
0
2
0
8
8
8
8
8
16
16
16
0
0
0
0
0
1
1
1
1
1
1
1
1
1
0
0
0
0
0
8
0
16
8
8
8
8
4
16
16
16
16
16
8
0
8
24
16
8
1
1
16
0
5
5
11
11
2
2
16
16
16
0
60
56
32
8
1
1
16
16
2
2
0
0
0
4
4
8
8
1
24
0
0
0
2
2
2
2
2
1
16
8
24
1
32
32
32
32
6
4
8
8
24
8
8
8
8
8
8
8
8
8
8
24
16
16
32
0
8
2
2
16
1
1
1
1
0
0
2
16
1
8
8
8
16
16
8
8
8
8
24
0
0
4
4
4
8
8
8
4
4
4
0
0
8
8
1
16
4
4
4
4
4
4
4
28
4
16
8
16
4
4
12
8
8
8
8
8
8
8
16
1
1
2
2
18
16
17
17
17
8
8
4
4
8
40
40
8
8
2
8
8
16
16
8
8
8
8
20
4
16
20
20
16
8
8
0
0
28
28
0
0
2
10
16
8
0
0
0
8
8
6
4
4
8
0
0
0
24
8
8
8
8
8
1
1
1
1
8
0
4
4
4
57
26
26
26
16
8
8
8
16
16
16
16
2
0
1
1
0
0
16
0
8
16
0
16
0
0
4
16
16
0
17
16
1
0
0
16
16
8
8
1
1
1
4
32
16
16
8
0
2
16
16
16
16
16
16
16
12
8
16
16
16
0
0
0
24
1
16
16
1
16
0
0
0
8
32
5
4
4
0
8
8
16
16
8
8
8
16
0
2
2
2
1
17
0
0
8
8
16
16
16
16
16
8
0
0
0
8
8
8
8
8
0
0
8
8
8
16
0
0
8
8
0
0
16
16
8
8
8
8
8
8
0
8
16
8
8
8
16
16
1
1
1
0
0
5
5
5
5
16
16
8
8
16
16
16
16
16
16
24
8
0
0
4
8
8
16
28
8
1
1
1
9
9
9
4
16
16
1
1
8
8
0
16
2
2
0
8
8
16
19
16
1
58
8
8
8
4
4
4
0
8
8
8
0
0
0
8
22
22
16
8
8
0
16
16
16
5
4
49
8
8
8
8
0
9
9
0
28
28
28
4
8
16
8
0
2
2
2
16
4
4
4
0
0
0
0
8
0
32
32
32
32
0
16
12
4
0
4
4
4
4
4
4
8
8
32
32
8
32
8
1
1
2
0
16
16
2
2
2
2
16
0
0
8
8
1
8
4
4
16
8
0
0
0
16
1
1
1
16
16
16
16
4
4
4
4
4
0
0
4
0
8
8
8
8
0
0
0
8
0
0
8
8
8
8
8
20
1
1
3
1
8
8
8
8
8
8
0
0
4
5
4
16
16
16
16
17
8
0
4
12
2
2
0
16
16
0
1
6
16
16
16
16
2
2
2
2
2
2
2
4
8
2
16
16
8
2
8
8
8
8
8
8
0
8
8
8
8
40
2
2
8
8
8
0
1
8
1
1
1
2
0
4
16
16
16
16
8
16
40
40
40
8
8
4
16
16
3
8
8
4
4
8
8
0
0
0
8
8
8
8
8
0
0
8
8
8
1
8
24
24
28
28
28
28
4
8
16
16
0
0
0
4
4
4
8
8
4
8
8
8
4
0
0
0
0
0
0
4
4
8
16
16
16
0
0
0
0
0
0
36
36
36
8
8
16
24
16
16
0
0
0
0
3
0
8
8
8
37
37
37
8
8
0
0
4
4
8
8
8
0
2
8
8
4
8
12
16
16
0
1
8
8
1
0
0
0
0
16
4
20
20
20
8
8
8
8
2
2
0
0
0
16
16
2
16
16
16
16
0
0
0
8
8
0
16
0
16
8
12
0
8
4
20
1
0
8
8
8
8
8
4
20
40
8
8
9
8
1
1
4
16
16
0
0
0
0
0
0
0
24
16
0
9
9
48
16
48
1
3
2
8
8
8
8
0
4
0
0
0
1
8
2
0
1
1
1
16
16
8
8
8
0
0
16
16
32
12
8
12
8
8
9
9
9
6
1
1
1
4
4
4
1
1
0
0
0
1
2
2
2
8
1
16
8
8
8
16
0
8
8
8
32
32
32
0
2
14
14
14
1
1
1
1
1
1
4
4
0
0
0
0
0
0
0
8
8
0
0
13
13
16
6
0
0
0
0
4
0
0
16
4
1
8
8
26
26
16
26
16
16
16
16
16
16
16
16
16
8
8
0
4
0
0
1
0
4
4
4
0
18
16
16
4
4
20
28
20
20
20
0
0
0
0
16
16
0
4
4
4
8
8
8
8
8
8
4
4
8
8
8
8
8
8
0
0
0
9
8
16
16
0
2
2
2
16
16
16
0
8
8
8
0
4
4
16
16
8
8
2
2
2
16
16
0
0
2
2
0
8
8
16
16
16
1
1
1
1
1
1
8
10
0
0
32
0
8
8
8
4
0
2
2
26
8
8
8
4
8
0
16
0
0
0
0
0
0
5
4
0
8
0
0
0
16
16
16
16
16
16
8
0
8
32
40
16
0
0
20
32
32
8
8
8
8
8
8
8
8
8
0
0
0
0
16
16
16
8
1
2
2
2
2
4
4
4
4
4
4
5
5
5
5
16
8
8
8
8
0
0
0
8
17
1
8
0
8
4
0
8
8
8
8
2
16
0
16
16
16
16
16
0
1
1
9
9
9
9
0
0
8
10
0
4
4
4
0
16
16
1
1
1
1
1
4
8
8
8
1
0
0
0
5
5
5
12
12
8
8
8
8
8
24
0
0
16
16
16
2
2
2
8
8
8
8
8
8
8
17
17
26
32
32
32
8
8
1
1
17
0
0
4
4
4
4
4
4
4
4
10
0
0
24
24
24
24
24
8
8
8
0
0
2
20
20
16
0
8
8
8
9
16
2
2
2
2
2
2
2
0
8
0
0
0
0
16
16
8
8
8
1
16
16
16
8
8
8
8
8
8
0
0
0
0
0
25
1
41
1
1
1
1
1
1
17
16
16
16
16
16
16
4
4
8
8
0
8
8
8
8
8
8
0
16
17
17
2
2
16
0
0
0
0
0
8
8
8
8
0
28
16
8
8
40
40
40
40
0
0
8
8
8
8
8
8
8
8
8
4
4
0
8
8
8
21
0
4
4
4
4
4
4
4
0
0
0
0
16
16
1
16
0
0
16
12
12
0
0
0
8
32
1
8
8
8
9
1
4
40
40
40
40
8
1
16
16
16
16
20
16
16
16
16
0
0
1
16
16
16
16
25
8
8
0
0
0
8
0
16
16
8
8
8
8
0
16
8
16
16
16
8
8
0
0
0
8
16
2
2
2
0
16
16
16
16
8
2
2
0
0
16
16
16
16
24
24
0
1
1
9
0
4
1
1
1
0
0
0
32
10
0
0
24
17
16
16
16
16
16
16
16
16
16
0
2
8
8
8
8
18
16
16
18
18
18
16
8
8
0
0
0
12
12
0
18
8
16
8
8
8
8
0
8
8
0
16
24
1
8
0
0
0
8
8
0
0
16
1
8
56
8
0
8
16
16
16
16
0
0
0
17
1
1
0
4
4
4
4
0
6
6
0
8
8
8
8
0
0
22
22
22
22
22
0
16
0
8
8
8
8
2
0
0
0
0
0
0
0
8
16
24
32
32
32
4
4
4
8
1
8
18
18
8
8
0
0
0
4
4
4
4
0
0
0
0
0
0
16
20
4
4
16
14
1
1
1
1
16
0
8
8
16
16
0
56
8
8
8
0
4
16
16
16
16
1
7
23
7
2
2
10
16
16
34
34
34
34
4
4
8
8
8
16
0
16
16
16
8
8
32
32
0
0
0
2
2
0
16
16
16
8
0
0
24
24
24
8
8
0
34
34
2
32
32
32
32
32
32
32
32
32
32
32
32
32
32
32
32
32
32
0
0
8
0
16
16
16
16
0
0
0
0
1
16
16
16
16
16
8
8
8
0
8
8
0
8
8
8
8
0
2
8
16
16
16
8
16
16
4
0
8
8
8
8
20
20
0
8
0
8
8
8
8
0
8
16
0
0
0
2
0
0
32
8
32
32
32
8
8
8
8
36
36
36
1
1
1
1
8
4
16
16
16
16
17
0
32
8
2
2
20
8
0
0
8
4
8
24
8
24
0
4
4
16
16
16
16
16
16
9
8
16
8
24
24
1
4
4
4
4
4
4
8
8
0
8
8
0
0
35
0
2
2
8
8
8
8
8
8
0
24
8
8
0
0
8
8
8
16
12
12
0
0
8
0
16
16
4
4
4
24
24
24
24
24
24
16
16
16
16
16
0
0
8
24
8
4
4
16
1
16
16
8
8
8
0
8
8
8
8
8
8
8
8
8
0
2
18
2
2
8
8
8
8
0
4
4
9
8
20
0
0
4
8
4
4
4
4
4
4
4
0
0
0
2
2
2
2
0
0
16
16
16
16
12
32
0
0
4
0
17
8
16
16
16
16
16
16
13
16
0
0
0
0
0
0
8
8
8
0
16
16
16
0
0
8
0
0
0
0
2
8
10
8
1
1
0
0
1
1
1
1
4
0
0
8
8
8
8
8
8
0
0
2
2
2
8
8
8
8
8
8
32
32
35
32
32
0
0
16
16
12
0
16
2
2
24
2
26
16
0
0
0
0
16
16
8
8
8
8
16
16
16
16
16
16
12
24
24
8
4
8
12
16
1
8
8
8
2
2
2
8
8
8
8
16
16
24
24
24
4
17
17
17
2
2
0
0
0
0
0
0
0
8
8
8
8
8
16
12
0
8
8
24
24
8
16
8
8
0
16
0
1
1
1
1
1
1
1
1
16
16
16
16
16
16
8
16
8
8
8
8
8
8
1
1
1
1
0
8
0
4
4
4
0
32
0
0
0
0
32
32
32
8
8
8
8
8
0
0
16
8
0
0
2
2
2
2
2
0
8
8
8
16
16
16
16
16
4
45
45
45
8
8
8
16
2
16
0
0
4
0
16
8
8
0
0
0
8
8
16
8
8
0
0
0
0
8
2
2
2
2
0
20
8
0
0
0
4
4
8
0
0
0
18
2
0
0
0
0
0
2
2
2
2
0
2
1
4
0
2
2
2
33
33
16
16
4
4
4
0
0
8
8
8
8
0
0
2
2
12
12
12
16
1
8
8
8
8
8
35
35
0
0
0
0
8
16
8
8
8
2
8
8
8
8
8
8
8
8
16
8
8
8
8
1
1
16
16
8
1
1
1
8
0
0
8
8
8
8
8
16
16
16
8
8
0
2
2
2
8
0
0
8
8
8
8
1
0
0
8
0
0
16
16
8
8
0
0
0
8
8
12
12
16
16
16
16
16
0
8
8
16
16
28
4
4
4
4
0
17
0
0
16
1
0
0
1
18
0
0
0
0
4
4
4
4
4
8
0
4
4
0
8
8
4
4
16
0
0
0
0
8
8
0
16
0
16
16
0
9
9
9
1
1
1
4
4
12
4
1
1
8
8
0
0
13
1
16
16
16
8
17
1
24
24
0
0
0
8
8
8
8
8
0
8
1
1
1
2
2
2
16
16
16
16
16
24
8
16
16
4
0
5
4
8
8
2
8
4
4
8
0
0
0
0
0
8
8
0
0
4
4
4
1
0
16
0
16
8
8
8
8
8
0
6
0
0
8
8
8
8
2
2
1
1
1
1
9
9
1
16
16
16
8
8
0
16
1
17
32
32
0
0
8
8
8
8
8
8
8
8
8
0
0
0
0
16
16
16
16
16
0
8
8
8
8
4
4
4
4
4
0
16
8
8
1
17
17
1
1
8
0
16
16
16
0
8
8
8
8
8
8
26
24
0
8
8
0
0
8
4
4
4
4
0
8
8
16
16
16
16
0
32
8
6
4
8
2
8
24
8
24
8
8
8
8
8
26
26
26
12
0
0
0
0
0
1
8
8
8
8
8
8
8
0
2
2
0
28
28
2
2
8
8
8
8
16
8
1
8
8
8
8
8
8
16
8
0
8
8
24
16
16
16
16
17
16
1
1
1
1
1
1
8
8
8
8
8
8
8
8
8
8
0
17
16
16
0
16
16
16
16
16
16
16
1
1
1
1
4
0
0
8
8
8
8
8
8
8
8
8
8
0
0
16
0
8
0
24
24
24
8
8
0
0
0
0
1
1
1
16
8
8
6
16
0
1
1
24
4
4
0
0
0
8
8
32
0
8
8
8
8
8
8
0
16
4
0
0
0
0
16
4
4
8
8
8
21
21
8
0
16
16
16
4
4
16
16
2
24
24
0
0
16
16
16
16
0
12
8
8
16
0
2
8
8
8
0
0
0
0
2
18
0
8
8
16
16
25
16
16
16
16
16
0
0
0
0
8
8
8
16
0
0
2
2
16
0
0
0
2
1
4
4
4
4
8
1
8
8
8
8
8
8
8
8
8
16
8
8
8
24
20
16
16
16
8
2
8
32
32
0
16
2
0
0
0
0
0
8
16
8
0
0
0
0
8
8
16
17
17
1
16
1
1
1
1
8
8
32
32
32
32
16
16
16
16
12
8
8
8
8
0
0
0
8
8
8
8
8
16
16
16
8
8
8
8
50
0
8
8
0
16
16
0
0
1
1
1
8
8
8
8
8
11
11
11
2
11
1
16
16
1
1
1
0
8
16
16
16
8
8
8
0
8
8
0
0
0
0
0
0
32
4
8
36
0
16
8
8
0
0
8
8
1
16
8
24
16
16
32
1
1
8
8
8
0
0
8
8
1
1
1
1
0
0
0
0
0
1
0
0
8
8
0
4
8
2
2
0
4
4
0
0
17
16
6
16
49
49
4
8
6
6
0
0
24
24
24
24
24
24
8
0
0
24
24
16
0
8
8
9
16
16
8
1
8
10
10
0
16
16
0
0
0
0
0
16
24
16
4
4
4
4
16
0
0
24
8
8
8
8
8
8
1
8
8
8
16
16
0
16
16
0
28
30
28
28
28
0
12
28
12
12
12
8
2
8
0
16
16
0
16
16
16
16
16
17
17
17
32
16
16
20
20
20
0
2
8
8
8
8
8
8
8
8
8
8
4
4
2
2
2
8
32
0
0
25
25
25
0
0
0
0
0
0
0
16
16
8
8
8
8
8
8
8
32
32
32
0
16
16
16
16
16
2
11
3
0
4
4
4
0
0
0
0
0
0
0
10
10
0
16
16
0
16
16
0
2
2
16
1
8
8
4
4
24
14
6
6
6
16
32
32
0
21
21
8
8
4
4
0
0
0
16
16
16
24
24
24
0
0
16
16
8
1
1
8
8
0
0
0
0
0
1
1
0
0
0
0
0
0
0
8
8
8
2
4
0
16
25
16
22
8
8
8
8
16
1
1
1
24
0
16
16
16
16
16
0
0
0
4
2
2
16
16
0
0
4
5
4
4
1
1
4
1
1
8
0
0
0
0
32
0
0
0
0
2
2
0
16
16
16
4
20
0
8
8
8
8
32
0
0
1
0
24
24
0
8
4
1
16
16
16
8
24
4
0
0
0
0
0
1
0
0
8
0
16
16
16
4
1
1
0
0
1
0
0
0
1
1
1
1
8
8
4
0
0
4
4
1
1
0
0
0
0
0
8
16
8
16
24
16
8
16
8
0
20
4
4
4
4
4
0
4
2
0
2
2
2
8
8
0
16
2
4
4
16
8
8
4
4
44
4
4
12
4
0
1
1
1
1
16
24
8
0
8
8
8
8
8
8
1
1
1
1
8
16
2
2
2
0
16
36
36
8
48
8
0
8
8
4
8
0
0
8
8
8
16
16
16
16
16
8
4
4
4
4
0
2
16
8
8
8
18
8
8
8
8
8
8
8
1
1
1
2
40
1
0
29
29
16
9
9
8
8
8
12
12
18
18
2
16
16
16
16
8
16
1
4
0
8
8
8
8
8
8
8
4
4
4
8
8
8
8
8
32
8
1
40
24
8
0
8
8
32
32
32
16
48
48
8
8
8
8
8
0
1
8
8
1
0
8
8
8
8
0
0
4
4
16
8
56
8
8
9
9
4
4
0
0
0
4
16
16
0
2
2
8
16
16
0
18
16
16
16
16
2
2
0
4
4
16
16
16
16
6
6
6
16
16
8
8
8
9
3
1
0
16
16
8
8
0
0
0
0
6
2
0
16
16
16
16
24
24
24
16
8
8
0
8
0
8
8
20
20
41
8
8
8
2
4
4
4
4
4
4
24
24
8
8
8
44
44
8
8
8
8
8
0
1
1
8
16
2
1
16
8
1
1
1
0
0
0
32
32
8
8
32
32
32
32
32
16
16
16
0
0
0
0
0
16
16
16
0
8
8
8
8
8
4
4
0
8
1
1
1
1
27
27
27
0
8
8
8
8
8
8
16
16
16
16
17
16
16
12
12
8
8
8
8
8
16
16
16
40
8
0
16
16
16
0
53
20
20
20
53
16
16
8
8
8
0
20
20
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
4
8
8
8
8
8
1
4
4
1
0
16
8
2
0
2
8
16
16
16
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
8
0
0
8
0
16
16
0
0
36
36
1
1
1
1
1
1
0
4
4
4
4
16
16
16
16
1
1
1
8
16
16
8
16
24
16
16
1
4
24
8
8
0
0
4
4
4
2
8
8
16
16
16
1
16
16
16
16
16
0
2
2
2
16
16
16
8
22
22
24
16
8
24
8
20
20
20
16
16
8
0
8
29
4
28
8
8
8
8
8
8
0
0
16
16
9
16
16
16
16
8
0
8
8
8
8
8
8
8
0
2
16
16
8
4
4
0
0
0
16
1
16
16
0
0
0
0
0
8
8
8
8
8
8
0
0
0
0
8
8
34
34
16
16
16
16
16
16
16
8
8
8
0
4
0
2
18
18
8
8
8
16
4
4
0
0
1
4
4
4
4
4
2
0
0
50
0
16
8
16
8
0
0
0
1
0
0
1
0
8
16
2
30
4
4
0
1
1
32
32
8
8
4
4
4
4
4
4
4
4
8
8
0
8
8
8
16
16
8
4
4
24
8
0
4
0
0
32
32
32
0
0
0
32
4
4
0
2
2
2
2
2
2
2
2
0
0
0
4
4
4
4
4
4
4
8
0
0
8
8
16
16
16
16
16
8
0
8
8
8
8
32
32
24
24
0
8
0
8
8
8
8
8
8
8
8
2
2
2
2
2
0
0
8
8
8
2
2
8
8
2
2
21
16
8
40
25
0
0
16
16
16
24
8
0
4
17
17
17
10
10
0
16
1
1
1
1
1
1
1
1
1
8
8
8
8
8
8
40
25
25
16
8
16
16
0
6
6
6
6
6
0
0
0
0
0
16
16
16
16
16
16
16
0
18
18
1
1
1
1
1
1
1
8
2
6
6
6
6
6
6
6
0
0
0
0
0
0
0
8
16
16
16
16
16
16
16
16
8
8
2
0
18
18
16
24
8
0
8
8
8
0
0
8
8
8
8
8
8
0
17
8
2
0
1
5
4
0
16
16
16
16
8
8
8
4
6
6
40
8
8
8
32
32
8
8
8
8
8
0
0
0
4
8
32
32
32
2
2
2
2
8
8
8
8
8
8
8
16
20
8
4
4
4
16
8
8
8
8
4
4
0
0
0
17
17
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
16
16
16
16
16
8
18
2
2
0
16
2
0
8
8
8
8
8
8
8
1
17
17
17
1
5
18
16
16
8
32
2
2
2
16
0
16
16
16
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
16
0
0
16
36
32
1
1
8
8
8
8
16
8
0
1
2
2
17
17
17
12
8
4
4
4
4
4
0
0
0
8
8
0
16
16
16
16
8
8
8
8
0
0
4
4
4
16
16
16
1
0
0
20
20
20
4
16
0
0
0
8
8
8
16
16
0
4
0
0
16
6
4
0
4
17
17
0
16
24
8
0
0
1
16
8
8
0
16
16
16
16
16
16
16
16
16
0
0
0
0
0
0
16
16
8
8
24
8
8
4
0
0
8
8
8
8
8
8
6
48
34
34
1
0
0
8
8
8
8
32
32
32
32
8
8
16
8
8
8
8
1
0
16
0
0
0
28
28
16
16
0
0
0
16
16
2
8
0
0
1
0
8
16
20
16
21
21
4
8
8
8
8
8
8
8
8
8
8
0
1
24
8
16
16
0
0
0
0
0
0
0
0
0
0
4
4
0
0
0
1
16
16
32
32
32
32
0
0
0
0
2
2
3
2
4
8
8
8
51
16
12
28
8
0
0
5
5
0
16
8
8
16
16
16
16
16
32
32
32
32
32
32
32
16
8
4
4
4
39
8
0
0
16
0
8
8
0
0
0
0
8
16
0
0
0
0
24
0
8
8
4
8
8
8
0
0
16
0
8
8
24
4
4
8
16
1
16
16
28
4
4
6
6
6
6
0
0
0
16
4
4
2
2
0
0
0
0
0
0
0
0
0
0
8
0
16
16
16
0
8
8
8
8
8
8
14
14
16
0
0
0
0
0
16
31
16
16
16
16
0
8
8
8
16
8
16
16
16
16
16
0
0
8
16
8
4
48
48
32
8
8
0
0
8
0
1
1
8
4
16
8
18
16
16
8
8
8
8
8
0
8
8
11
8
8
32
32
32
1
8
0
0
0
8
2
2
2
2
0
0
8
8
8
8
8
0
16
16
19
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
8
8
8
24
16
8
1
0
0
0
2
0
1
8
16
0
2
2
0
0
0
0
0
16
16
16
0
0
8
2
20
8
25
1
16
4
4
4
16
0
8
0
0
0
0
8
32
32
1
1
1
6
6
6
9
4
4
0
0
0
8
8
24
2
2
8
8
8
8
8
8
8
0
0
0
0
4
0
8
8
0
16
16
16
16
16
16
16
16
16
16
1
8
8
0
0
0
0
0
0
8
8
4
1
1
0
0
0
0
0
0
0
24
0
8
8
0
0
0
4
2
2
0
0
12
0
0
0
2
18
2
2
1
1
1
1
16
16
0
0
16
16
2
2
1
1
22
8
8
0
0
0
0
8
25
24
16
8
8
4
4
12
25
25
0
0
8
0
0
0
12
32
32
0
0
4
4
4
4
4
8
8
8
8
8
8
8
8
24
8
8
24
24
16
16
49
0
0
0
4
32
32
16
32
1
0
8
8
8
8
8
8
0
8
8
2
0
8
8
0
0
2
8
8
16
16
16
16
0
0
16
0
16
16
4
16
4
0
0
16
16
1
1
1
1
0
8
8
17
17
17
2
2
2
8
8
8
2
6
8
8
8
8
16
16
16
24
8
12
12
8
0
0
0
0
16
16
0
0
0
8
8
8
8
8
8
0
0
0
16
16
0
16
16
8
8
8
8
8
0
0
8
16
16
16
16
9
9
9
8
8
8
0
0
0
0
32
32
2
2
2
1
16
16
16
18
18
6
0
24
24
16
16
16
16
16
8
12
2
16
16
0
16
33
0
8
8
8
32
32
32
32
0
0
2
18
2
24
2
2
1
1
8
0
0
0
8
8
8
8
24
8
8
8
4
0
0
0
0
0
0
0
4
8
0
0
0
0
12
8
16
16
8
8
8
0
16
16
16
16
0
8
4
4
24
24
8
16
4
4
4
4
24
24
8
8
8
8
8
16
1
1
0
4
4
4
4
4
4
4
4
20
5
5
9
8
8
16
4
16
8
11
11
11
11
16
8
8
4
4
2
8
1
1
1
1
1
48
16
0
8
0
0
0
32
8
8
17
0
0
8
8
8
8
8
8
4
4
8
8
6
6
8
8
4
4
24
16
16
8
24
42
8
0
0
0
0
0
0
0
32
32
8
8
8
8
8
0
0
0
0
16
0
0
8
8
8
8
0
0
0
1
12
8
8
8
24
0
1
1
1
1
8
16
16
8
8
1
8
8
8
8
8
0
8
0
0
0
0
21
24
24
24
0
0
24
4
0
2
1
16
16
16
8
8
0
24
8
16
1
1
1
0
8
8
8
8
16
8
8
8
8
8
8
8
8
8
8
8
8
0
1
1
1
1
4
0
0
0
0
4
4
0
0
0
16
16
8
8
8
8
8
8
8
4
4
8
4
4
8
2
2
2
0
0
0
1
8
1
1
1
1
1
2
8
8
8
8
8
8
8
0
8
8
8
8
4
4
4
2
4
4
0
0
4
4
8
16
0
4
8
8
8
8
8
4
4
8
16
16
16
16
0
0
0
16
1
0
4
8
8
0
1
0
0
0
0
8
8
8
8
0
2
2
2
2
8
8
8
0
0
16
16
16
8
16
16
16
8
32
16
16
0
0
10
8
8
8
1
8
8
8
8
8
8
8
16
16
16
16
16
16
16
8
8
16
16
8
4
4
32
32
0
8
2
2
2
0
1
16
8
6
4
0
0
4
4
16
16
16
16
16
0
0
26
16
4
16
8
12
12
10
8
8
0
0
0
10
10
20
8
8
6
6
8
8
8
16
16
2
0
0
4
4
8
8
4
4
4
4
4
8
8
8
8
8
8
16
0
4
4
8
16
8
8
8
8
2
30
30
30
0
0
9
0
16
16
16
8
8
4
4
4
0
0
8
8
8
8
8
40
1
1
8
8
8
8
8
8
8
0
0
11
2
1
8
8
8
8
8
17
16
0
0
4
4
8
8
8
8
4
16
0
0
0
0
0
0
0
8
0
16
16
16
16
16
16
8
8
8
8
0
3
3
3
3
2
2
8
8
4
0
0
1
1
1
1
20
20
20
8
8
8
8
8
8
8
8
8
8
8
1
0
8
8
8
2
2
2
8
0
0
8
8
8
8
16
16
16
16
36
8
36
8
0
0
0
16
1
0
1
1
1
1
0
0
8
0
8
8
4
8
8
8
8
8
8
2
2
2
4
0
0
0
0
8
8
6
0
20
20
20
2
16
16
8
6
8
8
2
0
8
8
8
0
0
8
8
8
8
14
8
16
16
16
16
0
8
8
32
32
0
16
0
1
0
16
18
18
18
0
0
0
0
0
0
8
8
8
24
0
16
16
0
16
10
8
8
8
25
8
8
8
0
3
3
0
0
8
24
8
8
8
8
8
8
8
8
8
8
8
0
0
16
16
4
4
2
0
8
16
48
16
16
8
16
16
4
16
16
0
8
0
8
8
33
33
0
0
8
16
16
16
0
8
1
0
8
8
8
8
8
8
16
16
16
16
24
24
16
2
2
1
1
1
8
8
16
16
17
17
20
16
20
2
0
0
0
16
0
20
20
20
0
0
0
2
2
2
16
16
16
8
8
8
4
16
16
16
8
8
0
4
4
4
4
4
4
48
8
9
8
8
8
16
16
57
57
0
8
8
8
16
16
16
8
8
1
0
0
0
0
8
8
16
1
0
10
4
8
8
8
8
1
8
1
53
0
2
8
8
8
8
8
0
0
0
2
2
8
8
8
8
8
2
2
2
4
4
8
8
0
12
8
8
0
8
8
0
0
0
0
0
0
0
0
0
8
0
0
0
0
8
16
16
16
8
8
40
40
40
20
18
18
18
16
8
16
33
16
0
8
17
16
18
18
18
18
18
0
2
2
0
0
1
1
1
1
1
4
4
4
8
8
16
8
8
8
8
16
16
16
8
8
8
8
8
8
4
4
5
8
0
8
8
2
2
2
2
16
16
16
0
23
0
8
8
8
8
8
8
4
4
4
0
0
24
8
1
24
8
8
8
8
6
33
0
16
48
4
8
8
0
4
4
4
2
32
32
28
16
16
0
20
4
16
4
4
0
16
16
16
16
16
1
8
8
0
0
24
8
8
8
8
0
32
16
16
16
16
16
16
0
24
16
16
16
16
16
0
16
16
2
8
8
0
0
2
2
2
2
2
16
24
0
0
8
8
0
0
8
0
20
1
1
0
8
1
1
1
32
16
16
16
0
2
2
8
8
0
8
8
8
0
8
0
2
2
0
0
1
0
16
16
4
4
20
20
20
2
2
2
8
16
28
4
4
4
2
2
8
32
8
4
8
8
8
12
10
18
18
18
4
4
16
16
16
16
16
16
8
8
16
16
16
39
0
0
16
16
16
16
16
0
2
4
0
0
0
0
16
16
4
8
8
8
4
16
0
0
0
0
16
8
8
8
34
34
34
34
0
8
4
8
8
8
4
8
8
8
40
0
4
4
4
4
4
16
16
32
32
32
32
32
4
35
4
4
8
8
16
0
0
8
8
16
16
0
0
0
0
0
12
8
8
0
1
0
8
0
8
8
8
8
2
16
16
20
20
8
0
1
1
8
8
1
8
8
8
8
8
8
8
8
8
8
8
8
8
0
32
9
0
1
1
0
0
8
8
16
0
0
8
8
0
1
0
8
8
0
16
1
1
1
8
8
0
0
43
24
24
24
2
2
2
0
0
0
0
0
32
0
32
4
1
1
1
48
32
32
1
1
15
0
0
0
32
16
2
2
2
2
2
1
0
32
32
2
2
2
2
0
4
4
4
8
0
0
4
4
2
8
8
16
16
16
16
16
0
0
0
0
0
1
17
0
16
16
16
20
16
4
4
2
2
20
20
4
4
4
4
4
4
0
8
0
0
0
0
0
32
32
32
8
16
16
4
4
1
16
0
0
2
24
24
24
24
24
8
44
2
16
16
0
2
36
16
16
16
16
16
16
16
16
0
0
0
0
0
0
0
17
17
17
13
4
2
2
2
16
16
16
16
16
25
8
8
8
10
8
10
8
8
8
8
20
8
8
8
8
8
8
8
8
8
8
0
0
0
0
8
8
8
8
0
0
0
2
2
0
4
4
4
4
2
2
4
4
4
4
0
8
8
8
8
8
16
2
16
4
14
4
8
8
0
0
8
4
4
0
8
8
8
8
16
34
50
34
2
0
8
8
8
12
8
10
8
8
8
2
8
16
16
24
8
8
8
8
8
4
4
4
4
4
4
4
8
8
2
8
8
8
0
4
0
0
4
8
0
8
8
8
8
8
1
1
0
0
0
8
8
32
1
22
22
22
0
4
0
0
16
16
16
16
16
16
8
8
8
8
8
8
0
0
0
18
2
2
8
8
8
8
0
0
0
16
16
16
16
16
16
24
24
8
8
8
8
4
24
24
0
0
0
0
0
8
8
8
8
12
8
4
4
4
1
1
16
8
8
8
8
0
8
8
8
1
8
0
20
16
8
16
16
24
16
16
2
16
18
12
8
12
0
16
8
8
8
8
18
17
16
16
1
16
2
2
2
16
16
24
8
8
8
8
8
8
8
0
8
8
0
0
8
8
8
9
0
0
0
0
0
1
32
8
8
21
29
21
4
24
24
24
8
8
8
4
40
8
0
8
8
8
8
0
0
2
0
0
0
0
8
8
8
16
1
34
50
16
16
0
8
8
4
8
1
0
62
46
62
0
0
0
20
20
4
0
0
0
16
16
16
0
40
24
40
1
1
1
0
32
16
16
16
16
16
8
8
8
4
16
0
0
0
0
0
8
8
28
28
28
28
1
0
8
1
16
8
8
8
8
16
16
17
16
5
0
16
16
16
4
4
4
4
8
8
1
1
24
16
16
16
16
16
16
16
4
8
4
0
0
0
0
0
0
0
4
12
0
0
16
16
16
4
16
16
16
0
8
8
3
3
2
16
16
16
16
16
24
16
4
4
4
8
24
24
24
8
16
16
16
24
16
16
16
16
0
32
0
8
16
0
16
16
16
16
0
0
0
8
8
28
8
10
20
0
4
0
0
8
0
0
0
0
0
8
8
8
8
9
9
1
1
1
1
1
1
1
12
8
8
8
2
8
8
16
0
16
16
16
8
8
8
0
2
2
2
2
8
0
0
0
4
20
0
3
3
0
8
8
8
8
8
0
8
8
8
16
4
5
0
8
8
8
16
16
16
2
2
24
8
20
16
0
0
0
2
6
2
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
16
16
16
0
1
1
3
3
3
3
3
3
3
3
3
1
24
8
8
8
1
1
8
8
16
16
16
16
16
0
16
16
16
16
16
16
16
0
0
8
8
8
1
32
32
8
8
8
8
8
8
8
8
16
16
8
32
32
32
32
4
4
1
24
0
16
8
8
0
2
2
0
0
1
1
0
0
0
8
16
16
16
16
16
0
0
8
24
8
8
0
0
8
1
1
1
1
8
8
0
8
40
8
8
8
8
8
1
16
16
0
16
16
8
8
16
16
16
8
8
16
0
16
8
8
0
16
16
16
4
8
4
4
4
1
8
8
32
24
4
16
16
8
16
16
8
8
8
25
25
24
24
24
24
24
24
24
8
16
18
8
32
16
16
16
16
1
4
4
1
1
8
17
17
1
1
1
8
0
24
24
26
8
8
8
8
8
10
8
0
0
32
1
24
48
8
2
2
2
2
2
2
8
8
16
6
2
2
0
8
8
0
0
4
4
2
2
2
2
2
2
2
2
2
2
2
16
4
4
24
24
24
24
16
16
16
0
16
0
0
0
8
8
8
16
1
1
1
16
8
8
8
8
8
8
16
16
16
4
4
4
4
32
32
0
8
40
40
40
4
8
16
16
16
0
2
2
32
40
32
8
8
8
8
8
16
16
16
24
0
0
0
16
16
8
8
2
2
0
16
16
8
0
0
0
8
16
4
24
16
8
8
8
8
8
0
0
0
0
0
0
0
24
16
16
8
0
16
8
8
2
16
32
48
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
16
8
1
18
16
8
8
8
8
0
0
32
32
8
16
0
0
4
16
16
16
16
8
8
8
8
8
8
6
24
16
0
0
0
8
8
0
10
8
8
8
8
8
8
0
0
32
0
0
0
0
8
0
4
4
4
4
4
4
4
4
8
8
8
16
1
16
17
16
16
16
16
16
16
8
0
12
16
1
8
16
16
0
0
16
16
16
0
0
16
8
0
0
8
8
0
0
28
16
12
16
16
9
1
33
16
20
16
16
16
24
16
1
8
8
4
4
4
4
4
4
0
16
16
8
16
16
16
16
24
4
4
0
1
1
1
0
0
0
0
0
2
2
8
8
8
8
8
8
8
8
8
8
8
0
8
8
8
0
2
0
4
8
8
8
2
16
16
8
8
8
8
8
8
16
16
8
24
2
0
4
0
0
8
8
24
8
8
8
4
24
8
16
0
8
8
0
1
1
0
16
16
16
16
8
16
60
4
4
4
0
2
18
2
0
8
0
0
8
8
8
0
8
8
8
8
8
40
40
40
40
16
16
12
28
28
0
0
32
0
0
2
2
0
0
0
0
0
0
16
1
1
0
0
1
1
0
0
0
0
8
8
8
2
50
50
48
32
0
0
8
8
8
8
8
8
8
8
0
0
16
16
16
8
0
0
0
24
40
0
4
4
4
4
24
24
16
8
8
32
16
16
32
16
21
21
8
0
8
8
0
0
0
8
8
8
0
0
0
0
24
13
0
0
0
1
8
8
8
8
24
0
8
8
8
8
16
16
16
1
16
8
18
0
0
8
8
8
8
16
16
16
0
0
0
16
0
0
8
8
8
1
1
1
8
8
8
8
8
0
20
20
8
4
4
4
0
16
16
0
0
0
0
8
8
8
16
16
32
32
8
8
8
8
8
8
8
1
16
16
16
0
0
0
8
8
8
8
8
8
8
8
8
8
20
8
8
8
16
16
16
24
8
8
8
0
4
0
0
8
8
8
8
16
16
16
0
8
8
8
8
0
8
8
8
8
8
8
8
16
0
11
16
16
0
8
8
6
6
16
16
58
1
1
1
9
0
4
2
2
24
16
8
28
16
8
16
0
0
0
24
8
8
16
16
8
1
1
33
2
2
6
8
0
8
8
8
12
36
36
36
8
8
0
16
8
8
19
16
16
8
0
2
2
2
8
8
8
8
8
0
8
1
4
4
18
18
8
8
0
8
4
2
8
8
8
8
8
8
4
16
16
16
0
16
16
16
16
16
0
8
16
0
0
8
8
8
0
0
0
0
0
16
18
0
0
0
0
0
4
16
16
8
8
12
12
16
16
16
0
4
4
32
8
8
16
16
33
32
32
1
9
1
1
8
36
2
2
8
16
2
2
8
8
8
8
8
0
0
0
0
0
1
1
1
8
8
8
0
16
16
16
16
16
8
8
8
0
8
8
0
0
4
4
17
1
1
8
8
37
33
33
8
16
16
0
0
8
8
1
0
0
0
0
0
16
1
20
0
0
0
8
8
0
0
0
16
16
16
16
16
8
8
16
8
8
8
8
0
16
16
8
8
20
4
34
34
34
0
0
0
0
0
0
0
0
0
18
4
0
0
20
41
8
16
16
4
4
8
8
8
32
32
10
8
8
16
16
8
1
8
8
8
8
8
8
16
16
16
16
16
16
16
8
16
16
16
2
4
0
16
16
16
16
16
16
16
4
0
2
2
3
0
8
8
16
16
16
9
11
1
8
9
9
0
2
3
2
8
16
8
8
1
1
1
1
1
1
0
0
0
0
8
0
2
2
8
0
0
8
8
8
0
8
8
0
0
0
8
0
0
0
0
0
0
0
0
0
2
2
16
0
1
1
4
0
0
0
0
0
0
0
0
0
4
2
2
0
2
8
8
8
8
8
1
0
0
8
0
0
0
8
8
8
8
0
0
16
16
8
16
16
16
8
8
8
4
0
0
0
0
8
0
0
8
8
8
8
8
3
19
20
4
0
16
0
16
0
16
32
32
32
32
48
32
32
16
16
16
16
8
8
8
0
8
8
11
0
8
12
16
16
16
16
16
16
16
8
8
8
8
48
32
1
1
12
4
4
4
0
1
4
4
4
4
4
12
12
8
8
0
0
0
8
8
8
8
8
1
17
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
4
1
0
8
16
8
0
8
27
16
16
16
0
16
16
16
16
20
4
8
8
8
0
0
0
0
0
0
8
8
8
8
16
16
16
0
4
0
0
6
6
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
0
0
0
16
16
16
8
8
1
1
1
0
0
0
16
16
16
16
26
16
3
3
0
12
12
8
16
16
16
40
40
40
40
1
1
0
8
8
8
8
16
1
1
16
16
16
16
8
8
8
8
8
16
18
8
0
0
40
40
48
0
0
0
1
1
1
4
4
4
4
0
0
0
0
0
2
2
2
2
0
0
8
8
8
8
8
4
8
8
8
16
0
8
8
8
8
8
2
2
16
16
1
1
1
8
8
0
4
1
8
0
0
8
8
0
8
8
8
8
22
16
16
1
24
2
2
2
1
1
8
0
0
0
32
17
8
8
8
0
4
4
34
34
0
0
5
5
5
8
1
0
0
0
0
0
16
18
8
0
0
0
16
16
8
8
8
8
8
48
48
48
2
2
2
2
4
4
32
0
0
8
8
8
8
8
8
8
16
16
8
8
4
4
4
34
34
0
4
16
16
16
16
8
8
0
4
4
4
8
8
25
24
8
1
8
4
4
0
4
4
4
0
8
8
8
8
18
18
18
0
0
0
0
0
0
0
16
16
16
56
26
18
18
0
4
0
4
4
0
1
1
1
1
1
1
1
0
0
0
0
16
57
2
2
0
0
0
0
16
8
8
0
32
32
32
8
8
16
0
0
0
0
8
0
0
24
24
16
16
16
16
16
0
1
8
2
2
8
0
8
8
16
16
0
0
20
16
16
16
1
1
1
2
2
0
18
2
2
10
4
4
8
8
8
8
8
16
16
0
2
4
16
32
16
12
16
16
0
0
0
26
21
21
4
4
1
1
32
32
32
32
32
32
8
2
8
2
8
8
4
8
8
8
8
8
8
8
8
8
8
8
8
8
16
4
4
8
0
8
8
40
40
40
40
8
8
0
0
16
16
0
8
8
8
0
0
0
0
8
0
8
0
0
1
1
0
16
16
16
16
16
39
39
8
8
0
8
16
16
42
42
0
8
8
16
16
9
4
4
8
8
4
20
20
16
0
12
0
12
1
1
1
4
4
4
8
8
0
8
8
8
8
16
8
4
4
4
4
4
0
8
0
0
0
16
8
24
4
4
4
16
0
8
8
26
8
8
8
8
0
16
16
18
16
16
16
8
8
8
8
1
16
16
16
33
0
2
16
0
0
16
16
16
16
20
0
8
8
0
0
3
3
2
2
4
0
0
8
17
8
8
0
8
8
8
8
8
8
4
4
4
4
8
16
16
0
16
16
16
0
0
0
8
8
8
16
16
16
16
0
0
4
4
4
0
16
8
4
48
16
16
0
40
40
18
24
24
0
16
16
16
0
4
16
0
8
8
0
0
4
4
0
24
8
2
1
29
21
5
0
0
0
0
0
8
8
8
2
2
2
2
21
21
21
4
4
8
4
16
16
16
24
0
0
0
16
4
4
4
4
4
4
4
4
0
0
8
8
8
8
0
0
0
0
0
0
0
0
0
8
8
4
4
8
4
8
16
16
16
4
8
8
0
8
1
8
4
8
16
16
49
1
1
1
1
1
0
0
8
8
8
8
8
8
8
24
16
24
24
24
16
0
8
0
4
4
8
8
8
8
0
0
0
0
0
1
8
8
8
32
32
32
16
16
16
16
16
16
0
0
0
8
8
8
8
8
8
8
8
0
0
0
24
24
24
4
4
4
0
24
0
8
8
8
8
8
16
16
9
9
9
0
0
0
16
16
0
20
20
20
20
20
0
0
8
8
17
2
8
0
0
0
0
0
0
0
16
16
8
8
0
0
0
0
0
0
0
0
0
4
4
4
4
4
2
0
8
16
8
1
1
1
6
6
1
8
9
0
32
0
1
16
24
4
28
12
12
16
4
4
4
4
4
16
0
0
8
8
26
26
8
8
8
1
0
8
25
8
8
8
8
1
1
1
16
16
16
8
8
24
8
4
4
8
0
0
0
0
16
16
16
16
0
0
8
8
4
0
36
36
8
8
0
19
2
10
16
8
8
8
8
0
8
8
8
0
0
24
24
24
2
16
18
16
8
8
0
8
8
4
8
17
0
4
4
48
8
8
8
8
8
8
0
1
20
32
4
4
4
4
4
4
8
8
0
0
16
16
16
16
4
4
4
8
0
8
12
4
4
4
16
24
16
8
16
16
16
10
10
1
9
16
2
0
2
2
0
0
0
1
9
8
8
8
8
5
16
2
8
8
8
16
16
16
0
8
8
8
16
16
0
0
32
0
0
16
12
8
8
16
0
2
8
8
8
0
0
0
20
0
8
8
8
8
8
8
0
0
0
8
8
8
8
28
0
0
0
4
4
8
61
61
61
8
24
8
0
0
16
16
0
8
8
8
8
8
28
8
8
8
8
8
8
8
32
32
1
1
16
16
0
0
0
8
8
8
16
1
1
1
1
1
1
8
16
16
16
16
2
0
0
1
1
0
8
8
2
2
2
0
32
36
12
16
8
16
8
8
8
8
8
0
8
8
0
0
8
16
16
16
16
16
16
16
24
8
0
0
1
0
0
8
8
8
0
16
16
24
8
8
8
8
8
8
8
8
8
8
8
29
24
16
16
16
16
16
0
0
1
24
0
17
8
8
2
2
8
8
16
16
16
16
4
8
8
8
8
0
0
1
1
8
8
16
8
8
8
8
8
0
0
0
33
33
0
8
2
8
8
8
16
0
0
0
0
0
0
0
24
0
0
2
2
0
8
8
24
8
8
8
24
19
16
16
16
4
4
4
16
16
8
8
8
8
8
8
8
8
8
12
2
2
8
0
0
16
16
16
8
8
16
0
8
8
12
12
8
8
8
8
0
16
16
16
16
0
9
4
52
16
2
2
2
2
2
4
4
4
16
16
0
32
0
1
8
9
9
9
1
8
4
16
16
16
16
8
8
4
4
0
49
49
0
8
8
16
32
32
54
32
0
0
0
16
4
4
4
4
4
4
4
8
8
16
16
0
8
47
0
8
32
16
32
32
2
8
33
33
0
0
0
0
8
8
4
0
16
1
16
8
8
8
28
0
4
0
8
8
1
8
8
16
16
16
16
16
16
16
1
32
32
32
2
26
16
0
0
0
8
8
16
24
1
0
0
0
0
16
16
16
5
5
1
16
16
4
8
8
8
8
8
8
8
8
8
8
8
8
4
4
16
16
16
16
5
5
5
5
8
4
4
4
8
8
8
4
0
8
1
0
20
4
0
1
2
0
24
8
8
16
0
0
2
0
2
8
8
16
16
8
8
8
2
0
16
1
1
16
16
16
16
4
16
16
16
16
16
1
40
16
16
16
2
2
8
8
8
2
8
22
22
22
0
0
0
0
0
8
8
8
8
8
12
12
8
8
1
1
8
0
16
16
8
8
8
0
16
16
16
8
8
8
8
17
17
16
43
8
6
6
6
2
14
4
18
16
16
1
16
16
1
0
10
24
16
16
8
8
16
16
16
8
9
25
9
8
8
0
2
3
3
3
8
32
0
8
0
2
2
2
0
0
0
1
1
1
16
16
16
16
4
0
0
20
1
1
1
1
1
1
18
18
18
18
1
0
8
8
0
0
0
0
10
16
16
16
12
4
8
8
8
8
8
8
16
16
16
28
28
28
1
1
1
1
0
0
1
0
0
18
18
18
32
32
32
4
38
38
38
3
8
8
8
8
16
9
9
20
20
20
0
0
8
8
32
32
32
0
8
8
8
8
8
16
16
16
16
4
4
0
16
25
16
16
16
16
0
0
0
8
8
0
2
8
8
8
0
8
6
8
4
4
4
8
8
8
8
8
0
8
4
4
4
4
4
16
1
1
2
2
2
24
16
0
0
0
0
0
0
5
0
8
49
49
0
0
0
0
2
22
0
32
32
0
0
0
0
32
32
32
0
4
0
1
1
0
0
4
4
8
16
0
0
0
0
0
22
4
8
8
8
1
32
0
1
2
2
8
8
8
20
20
16
16
8
8
8
0
20
8
4
4
4
4
0
8
16
0
0
8
0
0
0
32
32
32
32
32
32
0
8
0
4
0
0
4
40
40
41
0
0
8
16
24
8
16
16
6
30
30
6
0
0
8
0
3
3
16
0
0
0
0
0
8
8
0
0
0
8
8
8
8
8
8
0
1
1
4
16
16
16
16
16
16
0
16
16
0
16
16
32
1
8
0
0
3
12
0
8
1
1
1
1
12
12
12
0
0
2
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
1
1
0
8
8
0
0
8
8
12
4
4
4
4
8
8
0
0
32
32
1
1
8
8
8
8
8
1
16
16
2
2
2
8
8
8
8
32
32
16
0
8
8
8
0
0
24
57
57
0
8
8
0
4
16
16
16
16
16
20
16
0
0
1
1
1
16
16
16
16
16
28
2
2
2
2
2
16
16
16
16
2
0
8
8
1
1
32
40
32
32
2
18
18
8
16
16
16
16
3
3
0
0
0
8
8
8
1
1
1
0
12
8
8
8
0
0
0
0
8
8
8
8
16
16
16
2
2
4
4
2
16
1
8
22
22
22
22
1
1
16
16
16
16
0
0
8
8
0
1
1
1
16
16
0
8
8
8
8
24
24
24
8
0
32
32
16
16
16
16
16
16
2
8
24
16
16
8
8
8
8
8
8
24
24
4
8
4
4
8
8
0
0
0
8
8
8
8
0
16
8
16
0
0
4
8
4
6
4
2
2
2
0
0
8
8
0
0
8
8
8
32
4
4
8
16
16
0
8
8
16
10
0
0
2
0
0
0
17
16
0
0
0
33
20
20
0
0
2
2
2
0
2
2
2
16
16
16
16
0
9
16
17
16
24
16
8
16
16
0
9
8
8
0
4
4
16
16
0
8
17
17
17
4
4
16
32
32
9
1
1
1
20
20
20
20
16
0
20
16
4
4
0
12
21
20
4
4
4
4
4
0
0
24
24
2
8
16
16
19
19
24
0
0
0
0
16
1
32
8
8
8
16
16
16
0
4
0
16
2
2
2
2
2
2
0
4
4
1
1
8
8
16
8
8
0
0
8
8
8
0
0
0
0
1
16
16
16
8
0
0
8
2
2
1
1
1
1
0
1
1
1
1
4
4
16
16
16
16
0
0
4
8
8
8
8
0
16
0
8
8
8
8
8
0
0
4
4
4
1
8
8
8
16
16
8
8
6
4
8
16
16
16
17
0
16
8
8
8
16
16
16
0
0
0
0
8
8
8
8
8
0
24
24
16
8
8
0
0
0
4
4
2
2
2
8
16
8
0
0
2
2
0
1
48
48
48
48
4
4
4
8
8
0
16
4
4
8
8
8
8
0
0
0
10
10
8
0
0
0
0
0
1
0
0
4
8
8
8
8
0
2
2
0
0
20
20
20
8
4
0
0
8
8
8
8
17
25
8
0
0
0
2
10
4
8
0
16
16
16
8
8
8
8
8
4
4
4
8
16
24
16
0
8
8
24
8
8
8
8
8
8
8
8
8
16
16
24
24
24
24
24
8
1
1
0
0
25
16
16
16
16
17
8
8
8
8
8
16
24
8
8
16
16
0
0
0
16
8
0
0
0
28
4
0
0
16
16
16
16
8
8
8
8
8
8
8
8
8
16
1
16
4
4
4
4
4
4
1
1
1
8
9
8
2
2
16
16
16
16
16
16
16
8
0
16
3
1
1
3
8
8
0
8
8
8
8
8
8
8
8
8
4
0
0
16
16
16
58
17
1
16
17
16
8
8
8
8
8
0
0
1
1
1
8
0
0
16
8
8
16
16
16
24
16
0
8
8
8
0
0
0
2
2
2
0
24
25
25
25
0
0
8
8
8
8
0
2
2
2
16
16
16
16
16
16
16
8
0
8
8
16
16
8
0
16
0
0
8
0
8
8
0
0
1
8
8
8
8
8
16
16
16
16
0
8
16
4
4
4
4
4
16
8
1
6
0
0
0
1
1
1
24
24
24
24
8
8
8
8
8
8
8
8
8
8
11
11
11
8
8
1
1
24
8
8
8
8
1
25
1
1
1
1
0
1
8
9
8
0
0
8
0
0
16
16
16
4
16
16
0
40
32
8
40
2
8
8
40
8
8
8
8
0
16
8
4
28
0
0
0
1
1
4
4
4
4
8
8
8
0
8
8
8
8
16
4
1
0
0
0
8
8
8
4
4
0
16
16
0
0
0
8
2
0
16
16
0
8
0
16
20
20
24
24
24
24
16
0
16
16
2
8
16
34
0
16
16
16
16
0
0
0
16
16
16
16
0
0
0
0
0
16
16
16
8
8
0
8
8
1
8
4
4
4
0
0
16
6
4
4
20
20
16
16
0
16
16
16
16
4
4
4
4
8
0
2
8
4
8
8
8
8
25
25
8
4
16
8
8
8
0
32
32
32
32
24
24
24
16
16
16
36
0
8
8
8
0
8
16
0
32
16
16
0
0
0
16
8
0
52
52
9
4
4
4
4
4
4
8
8
8
8
0
0
0
0
2
2
8
8
8
0
0
1
8
8
8
8
0
8
8
16
2
2
16
16
0
48
0
16
16
4
4
4
4
4
0
0
16
16
8
8
8
0
0
0
0
0
0
16
8
8
5
16
16
16
16
16
8
8
8
0
0
0
1
16
0
0
0
0
0
0
0
20
0
16
16
6
4
0
18
2
2
40
44
16
16
6
8
16
8
8
8
8
4
4
4
4
8
8
8
4
4
9
8
40
40
16
16
16
4
12
12
13
13
13
13
0
0
0
0
0
4
4
36
8
8
8
8
8
8
32
32
32
2
2
16
16
2
24
24
24
2
18
45
45
45
45
8
8
8
1
1
16
16
1
1
1
8
0
0
0
0
16
16
16
16
16
16
16
16
4
5
5
16
16
0
0
8
8
8
32
16
16
8
0
0
20
8
8
28
8
16
16
16
0
0
0
16
8
8
8
8
8
16
16
16
16
16
16
16
16
16
0
8
8
0
0
0
24
0
0
2
2
2
2
2
2
0
16
16
0
0
0
8
8
0
0
56
56
56
0
25
4
24
24
24
24
8
24
8
8
8
3
3
16
8
8
0
16
16
16
0
0
8
4
36
32
8
8
8
1
0
0
4
0
0
8
8
8
8
8
2
10
8
8
8
0
0
0
0
8
32
8
40
40
8
8
8
8
44
44
44
44
44
0
4
4
4
4
8
1
24
24
24
24
24
0
0
4
2
2
8
8
8
16
16
16
16
4
4
8
0
0
16
1
1
1
8
0
16
32
32
32
0
0
0
0
0
16
8
16
8
8
8
8
8
36
36
24
16
16
0
0
0
32
32
32
32
32
32
5
4
4
0
0
0
0
8
32
5
5
0
4
2
2
2
8
16
16
16
16
8
8
16
16
9
9
1
25
16
8
8
8
0
1
1
0
0
0
0
1
1
2
2
2
4
4
2
8
8
8
0
8
8
1
1
0
0
20
32
32
36
36
32
32
0
32
48
32
48
16
16
17
16
25
25
25
25
16
8
8
8
8
16
2
2
8
8
32
32
16
8
16
16
16
1
2
2
1
1
1
1
4
4
8
8
0
8
9
0
0
0
0
0
0
16
8
16
20
8
8
8
8
8
8
8
2
0
8
8
8
4
24
0
8
8
25
16
8
8
4
4
28
29
0
16
16
18
18
32
49
0
6
6
8
8
8
8
8
8
8
8
52
4
4
4
52
52
52
8
50
50
50
8
8
8
0
16
16
16
0
16
0
4
4
4
4
8
8
8
8
2
2
0
0
12
4
0
0
0
16
16
0
4
0
0
0
0
0
0
0
0
0
4
8
0
0
0
0
8
8
8
8
8
8
8
8
16
16
16
16
8
8
8
8
0
2
2
2
2
2
0
0
0
0
8
4
4
16
8
8
0
0
18
16
16
0
8
8
8
8
13
8
8
0
0
32
32
32
32
8
8
8
0
8
16
8
8
8
0
0
8
4
0
0
0
4
4
4
0
8
8
8
32
40
32
8
8
0
8
8
0
0
8
8
8
34
34
2
8
12
8
8
8
16
8
0
16
16
16
16
0
0
0
0
16
16
16
0
8
16
2
8
8
8
8
8
1
1
1
1
1
0
0
16
3
8
32
0
0
0
0
0
0
4
4
8
8
8
8
16
0
4
4
12
8
0
0
0
16
1
16
0
0
4
4
1
1
0
0
8
32
32
8
0
9
9
0
0
7
7
7
0
0
0
2
2
2
2
26
16
16
8
16
2
2
2
2
2
2
8
8
16
16
16
1
1
1
1
25
25
8
8
32
24
32
42
0
4
4
32
16
16
8
8
8
20
20
20
17
5
8
16
16
16
16
16
16
16
0
0
0
0
8
8
16
16
16
16
8
16
16
16
16
16
16
16
16
16
16
16
4
0
24
16
41
41
2
2
2
1
1
8
0
0
8
8
8
8
8
1
1
8
8
8
0
16
18
16
16
17
17
0
4
4
4
20
4
1
4
4
4
4
2
8
0
8
8
0
0
17
8
8
8
0
0
12
12
4
4
16
16
16
16
16
16
24
0
20
16
16
8
16
16
0
8
16
4
0
2
2
1
16
8
16
0
8
8
8
16
24
16
16
16
0
0
0
0
0
26
2
0
16
0
0
16
26
4
4
4
4
4
8
8
8
8
8
8
0
2
2
49
0
0
2
2
0
0
16
20
16
4
10
8
8
2
2
9
8
8
8
8
8
0
3
0
0
0
16
0
0
16
16
0
8
0
0
0
0
0
2
16
16
32
0
10
10
4
4
0
5
4
2
2
2
2
2
8
8
8
1
1
1
0
0
0
0
0
17
0
0
0
0
8
8
16
0
0
0
0
16
16
2
2
2
2
16
16
16
16
8
8
8
16
16
16
8
8
12
8
2
8
8
8
24
1
0
16
16
0
2
2
2
2
0
0
0
0
16
1
8
8
16
16
16
0
0
16
16
16
1
2
2
0
0
0
0
0
8
8
0
16
0
16
16
16
1
13
1
8
8
24
16
16
16
17
4
4
4
4
2
2
2
4
32
32
8
1
4
1
5
5
1
4
4
4
0
8
0
8
0
2
1
1
1
1
16
0
0
0
0
0
16
24
8
16
8
8
1
1
8
24
16
16
2
0
0
4
2
16
16
8
8
26
9
8
8
16
0
0
0
8
8
8
18
18
18
25
16
8
0
2
8
8
8
4
4
20
4
4
4
0
20
4
4
9
8
16
16
0
1
4
5
1
4
20
4
0
40
8
0
8
8
8
0
4
8
8
16
8
4
4
16
8
16
16
4
0
24
8
8
8
0
8
0
0
0
0
0
0
8
6
6
6
4
0
0
0
0
0
0
0
0
17
17
16
16
16
16
0
0
0
0
0
16
16
4
4
4
4
4
16
16
61
0
16
16
16
8
8
4
36
8
8
8
8
8
0
40
16
0
16
16
16
16
48
0
0
0
0
0
0
8
0
8
8
0
0
16
16
16
0
8
8
1
0
0
48
32
16
16
16
16
16
16
16
16
16
16
16
16
16
16
4
4
4
4
0
8
8
8
8
8
16
16
16
8
8
8
8
8
8
8
8
32
48
32
8
0
0
0
0
8
8
8
8
56
16
8
16
8
8
1
0
0
24
24
16
8
0
0
0
8
8
24
0
0
24
20
8
8
0
8
8
8
16
40
16
1
16
16
16
16
16
16
16
16
16
8
8
0
8
8
8
8
0
0
16
8
8
8
8
0
0
0
0
0
0
4
4
8
0
2
40
40
2
0
0
0
0
0
55
8
8
4
4
18
18
18
16
16
16
16
16
1
1
1
20
20
48
48
48
16
24
16
16
0
0
1
9
9
0
0
0
5
5
1
1
17
16
8
8
32
32
32
32
0
0
0
0
0
1
1
1
1
8
0
8
0
0
0
8
0
1
17
0
0
0
8
8
0
8
8
8
10
0
8
8
16
1
16
16
16
4
4
10
12
8
8
8
8
8
8
8
8
8
16
8
16
8
8
32
32
8
8
8
8
32
2
2
16
16
16
0
0
0
0
20
20
8
0
8
8
8
8
8
8
16
8
0
2
2
0
8
8
0
0
16
16
16
16
16
24
16
16
16
8
0
8
16
0
8
8
8
8
4
4
0
0
8
8
4
4
4
4
4
4
16
16
0
0
0
8
4
4
16
8
8
8
8
4
16
8
8
8
8
8
16
16
2
30
0
0
0
8
8
8
8
8
4
4
4
0
8
20
16
8
16
16
16
0
0
8
11
11
8
8
16
8
1
1
1
0
0
6
6
6
6
6
16
24
2
20
18
18
2
2
0
0
0
16
16
16
16
4
4
4
0
8
0
0
8
0
0
0
8
4
4
2
0
11
1
1
8
6
24
8
8
8
8
0
0
0
32
32
32
16
0
8
0
0
8
8
0
1
1
1
1
1
1
1
1
28
46
46
16
8
8
8
8
8
8
0
2
16
8
16
2
2
2
2
0
0
0
0
0
8
52
52
0
8
8
0
8
8
4
16
16
8
16
16
16
8
8
4
0
1
1
24
24
0
0
8
8
8
8
8
8
8
0
16
9
8
8
8
8
8
8
57
0
26
29
12
12
12
0
0
8
16
16
8
16
1
8
8
20
4
16
16
4
0
0
16
16
0
8
8
8
4
16
16
4
2
16
16
8
8
8
8
8
4
4
8
0
0
1
8
8
8
8
0
0
1
1
8
1
8
0
24
24
16
20
16
16
0
0
8
0
0
8
24
8
24
8
8
10
42
32
2
32
1
1
1
1
1
1
1
1
1
1
16
16
16
16
16
16
0
0
0
0
4
4
16
8
8
8
24
2
16
16
16
16
12
8
4
4
4
4
8
8
8
0
0
16
16
8
8
4
4
8
8
0
1
1
1
1
0
0
8
8
2
0
8
16
8
52
52
52
52
52
8
24
24
16
0
0
8
8
16
16
16
8
8
16
52
52
19
19
19
19
8
8
16
8
1
1
1
8
4
4
8
8
1
0
8
8
8
8
0
0
8
0
0
0
0
0
0
0
0
20
20
0
16
16
16
8
12
17
8
8
8
1
1
16
16
0
0
2
2
16
1
18
8
8
8
8
0
48
48
0
16
16
16
0
8
28
2
2
2
16
16
16
16
8
8
0
0
4
0
8
0
0
16
8
16
16
16
8
8
0
0
0
8
8
8
0
0
16
16
0
8
16
16
16
8
11
8
10
8
8
8
16
16
16
8
32
8
8
8
16
16
24
8
16
16
16
16
24
24
8
8
0
0
0
40
16
16
9
25
16
0
6
4
8
28
0
4
2
0
8
24
0
24
28
8
0
8
0
8
16
24
4
0
16
16
16
0
0
16
32
32
0
0
0
24
2
18
2
2
0
18
2
8
8
8
4
8
8
8
8
8
8
16
2
2
2
1
20
8
8
20
8
8
40
16
16
16
16
16
16
8
8
8
0
0
16
0
8
8
8
8
20
8
8
0
2
2
2
16
16
16
16
8
16
0
0
18
18
16
0
8
8
8
0
4
0
0
8
0
0
17
17
1
24
8
17
17
16
16
2
2
0
0
0
0
0
0
8
8
8
8
0
2
8
8
16
24
16
8
8
8
8
16
0
20
20
20
20
48
48
32
8
1
24
24
24
24
8
2
2
8
8
24
8
8
8
8
8
24
3
1
16
16
24
24
24
0
0
0
5
0
0
0
0
16
24
8
0
8
16
16
16
16
16
16
8
8
24
8
24
16
0
6
4
4
4
4
4
4
4
0
8
0
8
8
16
16
8
8
16
16
1
1
1
8
8
8
8
8
8
2
16
17
17
8
8
17
18
18
18
0
8
8
17
17
16
16
16
0
16
33
33
8
8
8
8
0
32
40
16
8
8
4
4
4
4
0
0
8
8
16
16
8
16
16
16
0
0
0
0
0
0
0
0
0
18
16
4
16
16
16
8
8
16
1
4
0
0
0
0
0
16
20
16
2
0
0
0
8
0
48
48
16
10
8
24
0
0
24
8
2
16
16
16
8
8
30
30
2
2
0
8
8
8
24
8
8
8
8
8
1
8
0
0
16
8
8
0
4
8
8
8
8
8
1
1
1
0
4
0
0
16
16
16
48
16
4
4
9
9
9
9
4
1
1
1
1
1
20
16
0
0
0
57
16
0
0
0
0
0
0
16
8
8
8
0
0
0
8
4
4
8
8
8
0
16
16
0
0
1
25
0
16
0
0
0
0
14
4
4
8
24
24
24
16
1
1
1
1
8
8
1
8
8
16
4
0
0
8
8
8
0
16
0
0
20
20
0
0
16
8
24
4
0
0
9
9
9
0
0
0
0
0
4
4
0
16
0
17
1
17
2
2
8
8
8
8
8
0
0
8
8
8
8
16
0
0
0
8
8
8
8
0
16
16
1
1
1
1
1
8
8
8
8
4
4
0
16
16
16
0
0
0
16
16
16
16
8
8
8
8
8
0
3
3
3
3
3
3
16
8
8
16
4
8
8
8
20
0
0
0
8
8
8
8
8
0
16
16
16
33
1
1
0
0
16
16
16
8
24
24
8
0
8
0
0
20
8
0
8
8
8
8
0
4
16
16
16
16
8
8
24
8
8
8
0
0
0
0
0
0
4
4
1
1
21
21
8
8
8
16
16
16
16
16
16
0
1
1
8
8
24
2
18
18
8
8
24
0
1
1
0
0
1
8
8
8
8
0
0
8
8
8
8
8
16
16
16
16
16
16
16
16
8
8
4
4
4
4
4
4
8
8
8
0
8
8
16
0
8
8
8
5
8
8
8
8
8
16
16
0
16
16
0
8
0
0
2
2
16
8
16
8
8
8
8
2
0
9
4
4
4
16
24
8
8
8
8
4
8
12
0
8
8
0
0
0
4
4
8
48
16
16
16
0
24
0
0
0
0
0
0
0
8
17
17
17
17
2
24
0
1
1
0
32
32
32
32
24
24
8
8
8
8
8
8
8
16
16
16
16
16
48
48
9
20
4
4
0
0
0
0
0
8
1
1
1
8
0
0
16
0
0
2
2
1
1
0
4
4
0
8
8
8
8
8
8
44
44
8
8
2
2
8
8
8
8
8
4
5
5
1
37
37
37
2
2
2
8
8
8
8
8
8
8
8
24
24
16
0
0
0
0
0
8
8
16
24
8
0
40
32
32
8
8
8
8
8
8
8
8
8
8
8
16
16
16
4
8
8
20
20
0
8
8
2
2
2
1
1
8
8
8
2
2
0
16
16
16
24
8
8
0
0
16
4
4
16
16
16
8
0
24
16
0
0
12
12
4
20
16
8
8
8
0
16
1
32
8
8
8
8
8
0
0
8
9
9
8
0
28
16
16
16
16
16
16
16
8
8
8
8
4
4
18
1
1
8
16
16
16
16
4
16
16
8
8
8
8
8
8
24
8
0
0
2
2
4
52
0
8
0
1
1
1
1
1
1
4
4
16
0
36
8
8
0
0
0
0
1
1
1
1
1
1
1
4
4
4
4
4
4
2
8
16
8
8
8
8
8
4
4
0
0
8
30
16
16
16
16
17
1
8
0
48
16
8
0
8
8
8
0
0
0
0
2
2
2
0
0
0
1
16
16
16
2
2
8
8
8
8
8
16
0
8
8
8
2
2
32
32
8
2
0
0
0
4
4
16
0
0
0
8
8
16
16
16
16
0
8
8
8
0
2
0
16
16
16
40
40
1
1
8
0
0
0
0
16
16
0
0
0
0
0
0
0
4
4
0
0
0
0
8
8
8
8
0
0
0
0
0
0
0
0
8
8
8
0
2
2
2
2
32
32
8
8
8
0
0
0
32
8
0
2
0
8
8
8
8
8
8
16
4
0
0
0
8
8
8
8
12
0
0
8
32
32
0
1
1
1
1
8
8
0
0
0
3
1
16
16
16
16
0
17
1
0
8
16
24
24
24
24
0
8
8
8
28
8
24
24
24
8
8
4
4
8
8
8
8
8
2
8
0
8
8
8
8
1
1
8
8
0
1
8
12
16
16
16
24
8
24
8
8
8
8
8
8
8
8
8
8
8
2
2
16
16
24
4
4
4
33
0
16
0
16
16
24
24
24
17
0
0
0
4
33
32
32
16
16
16
16
2
0
0
0
0
10
1
1
8
8
48
2
32
2
2
8
8
8
8
24
0
8
8
8
40
0
8
8
8
8
0
0
16
2
16
16
1
8
8
0
0
0
0
16
8
8
0
0
8
16
16
16
16
16
16
16
16
16
16
16
16
8
0
2
2
0
4
4
4
8
8
8
8
8
8
8
8
8
8
8
16
16
16
0
8
8
8
8
8
6
0
0
6
16
16
0
8
40
8
8
8
1
1
9
9
0
0
16
20
20
20
16
16
16
8
1
1
0
4
0
0
4
4
8
8
8
8
1
8
30
34
0
4
4
4
4
0
0
8
16
16
8
1
2
2
8
4
4
4
20
20
20
8
8
0
0
0
8
8
8
8
8
8
8
4
18
16
1
24
21
21
21
8
8
16
16
0
8
3
2
2
0
0
16
16
16
16
0
0
8
8
16
16
16
16
8
8
8
8
8
8
4
16
16
0
16
16
16
22
22
22
4
0
0
2
2
1
1
1
1
1
1
1
1
16
16
16
8
1
17
0
8
8
8
4
4
20
4
16
16
16
0
0
20
20
16
17
0
32
8
8
0
0
56
0
0
32
32
0
0
0
8
8
16
0
0
16
16
8
16
4
4
4
4
4
32
32
32
8
0
0
10
10
18
24
24
8
8
0
16
16
6
0
16
16
8
8
4
2
2
2
2
2
2
1
32
32
16
17
1
1
8
10
10
17
4
4
0
14
14
0
0
0
1
8
8
2
2
2
2
0
0
0
16
9
0
2
2
6
4
1
4
24
8
8
8
8
8
0
0
8
17
0
16
8
8
8
8
0
0
8
24
8
8
16
0
0
4
4
4
4
4
8
8
58
16
8
8
8
24
8
16
16
1
1
0
4
0
8
8
8
0
0
0
0
4
32
8
8
20
20
8
8
8
16
8
12
1
16
16
0
0
24
8
8
8
8
8
24
4
8
0
0
4
4
0
16
16
0
0
16
1
1
8
40
32
32
8
36
32
4
36
36
4
2
2
2
8
8
10
10
1
1
21
0
0
0
20
16
1
1
8
0
0
20
20
20
20
20
20
16
2
16
8
8
8
8
8
0
37
26
26
26
0
1
16
16
16
16
16
32
20
29
8
8
8
8
0
1
1
8
16
16
16
16
0
4
4
32
8
32
8
8
4
0
0
0
8
8
8
8
2
2
2
4
16
0
0
8
8
0
0
2
0
8
8
1
0
0
8
8
8
16
16
16
0
8
8
8
8
16
4
4
8
8
8
0
8
8
0
8
8
8
8
8
8
8
16
2
16
16
2
8
8
8
8
16
16
8
8
8
0
8
4
0
16
0
1
8
16
16
8
2
2
48
32
0
0
8
8
8
16
16
16
16
16
6
8
8
8
8
16
16
8
8
8
8
8
4
16
20
20
20
16
16
0
0
8
8
8
8
1
1
1
20
20
19
16
16
0
0
4
1
1
16
1
24
0
0
0
8
8
8
0
0
8
8
8
0
0
0
0
0
2
32
8
0
0
8
8
0
8
8
8
8
24
4
16
16
16
16
16
16
16
8
8
8
8
8
8
4
4
4
4
8
5
1
16
16
0
0
0
1
1
16
8
8
8
0
0
0
24
24
8
8
16
1
8
24
24
2
17
8
0
8
1
4
1
0
0
0
0
4
8
8
8
8
16
24
0
0
0
0
0
24
4
4
20
20
8
0
16
16
16
4
4
0
0
1
2
0
0
2
2
2
0
16
16
16
16
16
16
16
16
16
8
8
2
2
32
32
8
8
0
0
8
8
8
0
0
4
4
24
16
1
8
20
0
2
32
16
16
16
0
0
0
0
8
8
8
8
8
8
8
16
0
0
0
1
16
0
8
8
8
8
32
32
4
8
8
8
4
20
4
8
2
2
2
4
8
8
8
8
8
0
2
0
0
2
2
8
8
8
0
8
8
8
8
8
1
24
24
24
24
0
2
0
0
0
1
2
8
8
8
0
0
0
0
0
0
0
8
8
8
0
0
1
0
0
1
17
1
1
4
4
0
16
24
2
2
1
1
1
16
8
8
8
8
0
2
2
2
0
5
5
4
17
17
0
0
16
4
0
18
1
1
1
1
8
0
8
8
8
8
8
1
8
40
8
8
8
8
24
1
1
0
0
16
16
16
1
1
16
16
16
8
8
0
2
2
2
2
0
0
8
8
8
8
8
8
8
8
8
0
8
16
16
2
0
32
4
0
24
8
8
8
0
16
0
0
16
16
16
57
0
8
24
24
12
12
0
0
0
16
0
0
0
16
8
0
0
0
0
17
16
16
16
40
16
16
0
0
0
40
40
0
16
16
8
8
0
1
2
2
25
25
0
0
0
0
8
8
16
16
16
16
4
4
4
8
8
0
32
32
0
0
0
16
8
8
8
16
16
16
1
0
8
8
8
24
24
0
0
2
1
1
1
1
2
2
2
4
4
4
1
5
5
5
0
0
1
1
1
1
1
1
0
0
0
0
0
1
1
0
0
0
0
16
0
0
4
0
25
57
8
8
16
16
8
8
0
16
4
4
4
4
16
16
16
0
8
24
5
5
5
32
48
0
0
0
4
0
2
2
1
1
16
8
8
8
8
8
8
8
0
1
8
8
0
16
24
16
0
0
0
16
16
16
4
4
4
4
0
0
0
16
16
8
8
0
0
1
16
16
16
1
8
0
0
0
0
0
24
24
24
24
8
0
0
20
0
0
8
16
16
20
0
2
1
1
16
16
16
8
8
0
0
0
0
8
8
8
8
16
16
16
0
1
1
8
8
8
0
0
8
8
8
8
0
0
0
0
4
4
1
0
0
8
16
0
0
8
32
2
2
0
8
16
16
26
8
8
8
8
16
24
16
2
2
4
0
6
8
0
16
49
1
1
1
1
1
8
8
0
8
8
16
16
8
8
8
8
8
8
16
9
9
18
4
4
4
4
4
0
0
8
8
4
8
0
18
18
16
16
32
32
32
32
16
8
8
8
8
16
16
16
8
1
0
0
8
8
16
16
16
17
16
8
8
8
0
0
0
0
32
32
32
0
32
0
0
1
16
16
16
16
18
0
8
8
8
8
8
8
8
8
8
0
0
20
16
16
16
16
16
0
8
16
16
16
16
16
16
8
8
0
20
20
16
8
8
24
24
0
12
12
8
16
16
16
8
0
0
0
8
0
8
8
8
0
0
0
8
8
2
0
2
2
2
2
8
8
8
8
8
8
8
8
1
1
16
8
8
8
8
16
17
17
1
0
0
0
1
8
16
16
16
1
16
16
16
16
1
8
0
0
4
4
4
16
16
16
16
16
16
20
34
1
1
8
8
0
4
4
4
2
4
0
0
8
28
16
16
8
8
8
8
0
0
0
0
0
16
16
16
16
12
1
0
8
8
32
32
32
0
0
32
32
32
32
0
8
8
0
4
4
4
16
16
2
24
25
24
8
24
1
16
0
16
16
0
4
4
4
4
8
0
0
0
16
0
0
0
8
8
16
16
16
16
16
8
9
9
0
0
0
8
8
1
1
16
0
8
8
0
0
0
0
1
8
8
8
8
16
8
4
4
4
4
4
4
4
0
0
16
16
8
4
4
4
8
8
8
0
0
8
8
8
0
0
8
8
1
1
32
32
16
32
4
4
4
16
1
2
16
18
18
0
0
0
0
0
8
16
6
2
2
1
8
8
8
8
8
8
8
4
4
4
4
4
16
16
0
0
8
8
8
4
8
8
0
0
22
8
2
2
8
16
16
16
16
16
16
28
0
24
0
8
8
8
16
0
8
8
8
16
4
8
8
8
8
4
4
8
24
16
8
24
8
8
0
0
0
0
4
4
4
0
0
0
0
16
16
0
0
8
8
8
4
9
9
4
4
16
16
16
16
20
1
1
1
1
16
16
4
4
0
16
8
8
22
0
0
8
8
1
1
16
8
28
0
24
24
24
4
16
16
16
16
16
16
8
16
4
4
4
4
17
4
40
8
8
8
8
0
0
0
8
1
0
0
24
24
0
8
8
16
8
8
4
4
8
2
2
2
0
8
2
0
0
0
0
0
0
4
4
4
4
8
8
0
4
1
1
1
1
26
26
18
16
2
4
2
2
2
2
0
0
2
8
8
0
16
0
0
0
0
0
32
16
8
8
8
0
16
16
8
24
32
32
0
16
8
0
0
16
16
16
16
16
16
16
8
8
8
2
16
16
16
16
8
8
8
17
17
17
17
0
0
8
8
8
8
8
8
8
0
0
16
16
47
47
0
16
16
16
0
0
0
0
4
6
0
0
8
8
8
8
8
8
16
16
20
1
1
8
8
0
0
0
0
0
0
0
8
0
0
0
20
8
8
0
1
1
1
40
40
40
40
40
40
12
12
0
0
0
0
32
32
32
32
32
32
8
8
0
0
32
32
8
8
16
9
9
16
0
0
0
2
2
2
2
16
24
0
0
10
8
8
8
16
8
32
32
16
16
8
8
8
8
24
8
4
0
0
0
8
8
16
0
16
16
16
8
4
8
8
0
8
8
8
8
8
8
16
16
16
16
0
0
16
16
1
0
1
1
1
16
16
9
9
9
8
32
0
8
8
8
1
1
0
0
0
0
0
0
0
8
8
8
11
0
0
0
0
0
0
0
0
8
0
0
24
16
16
16
16
16
16
24
0
0
0
0
4
1
12
8
8
8
8
8
32
16
1
19
18
18
0
8
2
6
6
6
6
6
6
8
8
8
8
8
8
8
8
16
16
16
8
1
1
1
16
4
4
4
4
1
16
8
2
55
1
1
4
4
1
16
16
16
24
24
0
4
8
17
16
18
18
32
56
0
16
4
9
2
16
16
16
16
16
16
16
8
8
0
0
8
8
16
8
8
8
10
10
8
10
10
10
10
28
0
4
4
0
0
18
16
8
8
8
5
0
0
0
0
0
0
0
8
8
8
18
16
8
8
0
0
62
62
62
0
0
0
4
0
0
0
8
8
0
12
8
9
9
9
9
0
1
8
0
0
0
16
16
16
16
1
1
1
16
17
0
0
0
0
8
8
4
4
4
4
16
0
16
0
0
4
4
8
8
24
28
4
16
4
4
0
12
8
8
0
8
0
16
16
16
16
1
1
8
18
18
18
0
0
8
8
8
8
60
8
8
8
8
0
0
0
4
2
2
2
0
1
8
0
57
8
2
8
39
39
8
8
8
0
16
8
32
32
0
0
0
8
0
0
0
0
16
16
1
1
1
1
16
16
16
16
10
0
0
0
20
8
8
1
1
1
0
0
0
0
0
0
0
0
8
8
8
8
8
12
8
0
28
8
8
0
12
12
16
16
16
0
0
0
24
16
8
8
0
16
16
10
10
32
32
32
16
8
8
8
8
4
16
20
16
54
54
0
1
16
2
2
2
2
2
4
0
0
0
2
2
16
8
2
8
8
8
8
8
16
16
16
16
16
16
16
0
8
8
0
16
16
16
4
4
8
24
8
8
8
0
0
16
16
16
16
16
16
0
8
8
16
16
16
16
16
16
16
0
16
16
16
12
16
16
16
8
8
8
16
24
24
2
4
4
4
4
12
0
8
2
8
8
8
2
1
32
8
8
8
2
16
8
8
8
0
24
8
8
8
0
0
16
16
0
0
0
8
8
1
8
40
8
8
4
4
0
0
0
0
8
16
3
1
1
1
8
8
0
16
0
55
0
0
0
8
16
16
16
8
8
6
6
6
8
16
4
4
12
0
0
0
26
20
16
0
24
16
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
1
1
1
2
10
0
0
0
8
0
1
16
0
8
8
16
16
16
16
8
32
8
0
8
8
8
8
8
8
8
8
8
8
0
0
16
16
0
0
0
0
0
24
24
1
4
4
4
4
4
8
8
0
0
41
9
8
8
8
8
0
8
8
8
1
17
9
1
1
8
8
17
17
17
1
8
18
0
0
0
8
2
32
4
1
0
32
32
32
8
8
8
1
1
8
8
8
8
8
16
16
16
16
16
16
16
16
24
4
4
8
0
8
8
2
2
0
0
32
32
16
16
16
16
8
8
8
8
8
4
4
0
0
8
8
0
8
24
0
0
4
4
4
4
20
20
16
16
0
16
16
16
16
8
8
8
8
8
8
8
1
1
1
6
6
6
48
8
16
8
8
8
0
4
4
0
0
0
0
24
24
24
0
0
0
8
8
8
28
24
1
16
4
4
4
8
20
2
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
4
0
16
8
0
0
0
0
16
16
16
3
3
8
8
8
8
8
8
8
8
8
8
4
4
4
8
8
8
1
32
32
32
4
4
8
8
2
16
16
16
4
4
0
0
0
0
16
16
16
16
16
8
16
16
16
8
0
0
24
24
0
8
0
8
16
0
2
2
2
2
2
2
0
8
5
1
8
13
13
13
61
16
16
16
0
0
8
8
8
8
8
8
8
0
0
4
4
4
4
0
0
0
16
8
1
1
1
1
1
31
0
25
25
25
25
17
16
1
1
0
0
1
40
1
1
16
8
8
8
8
8
8
8
8
8
3
3
0
2
16
16
16
16
32
32
40
40
8
2
2
2
2
2
24
8
24
0
16
0
8
8
8
8
8
8
8
8
2
2
2
16
16
16
16
16
0
1
1
4
16
0
0
50
2
2
12
28
8
8
1
8
8
16
4
8
28
8
16
1
16
16
16
16
8
8
32
32
32
32
0
4
4
16
0
8
8
2
0
0
0
8
8
16
0
0
1
1
1
1
0
8
16
16
8
8
8
16
16
6
22
22
2
0
4
4
4
4
4
4
4
4
0
16
16
16
16
8
8
8
8
0
0
1
8
8
16
24
8
2
16
16
0
4
4
4
4
1
8
8
0
9
1
0
0
8
0
1
1
1
8
8
4
4
16
16
16
16
16
16
16
16
16
0
8
0
0
0
0
4
4
4
4
4
4
4
4
4
4
4
4
16
16
16
0
9
9
8
8
8
6
6
8
8
8
8
2
0
8
8
8
60
60
4
4
4
0
0
0
8
8
3
3
3
3
0
16
8
8
8
8
8
8
8
8
0
4
16
8
4
18
0
0
1
4
2
2
0
8
8
8
8
8
16
16
0
8
0
0
0
0
8
8
16
4
16
2
8
0
0
9
9
9
8
8
8
4
4
4
4
2
4
16
16
16
16
24
8
1
1
13
8
24
0
0
0
33
33
33
33
8
8
15
15
16
24
16
16
8
16
16
4
8
8
8
8
8
8
8
8
0
0
2
2
0
32
16
8
8
0
0
2
2
2
2
2
2
0
0
0
8
8
24
8
16
0
2
2
2
2
2
0
24
0
8
0
1
1
1
0
0
8
8
8
8
0
8
8
8
8
8
8
8
0
16
16
0
8
16
16
8
8
8
2
2
2
2
4
8
4
28
16
8
6
6
0
16
16
16
16
8
16
16
16
4
4
4
8
4
4
4
24
0
0
8
8
8
13
8
2
0
0
0
25
1
1
16
16
4
4
8
0
0
0
0
16
0
36
0
0
8
8
0
0
0
1
1
0
32
32
8
8
8
4
4
4
4
4
8
8
4
2
2
2
8
0
0
0
12
4
16
16
16
16
10
0
24
26
8
0
0
16
20
20
8
0
0
8
4
20
0
32
4
0
0
0
16
0
0
4
4
8
0
8
8
16
4
16
16
16
0
8
8
16
24
0
8
8
8
8
8
8
8
0
1
1
1
8
8
8
1
1
1
0
0
0
9
8
8
8
0
0
2
2
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
8
8
8
1
1
1
1
0
0
0
0
8
8
8
8
2
2
1
1
0
8
8
8
0
0
0
2
0
4
1
1
1
1
6
16
16
16
1
1
1
0
0
0
0
8
1
1
1
1
1
16
16
16
16
8
8
8
9
9
0
12
12
12
12
12
0
8
16
16
16
16
9
8
9
16
16
14
0
4
4
4
8
8
8
8
4
4
4
4
8
2
0
0
4
4
4
4
4
4
4
8
0
1
1
1
1
9
9
9
9
8
8
4
4
4
8
1
33
0
0
13
13
8
0
8
8
8
8
0
0
16
16
1
1
1
1
16
32
0
8
16
16
16
8
8
24
18
16
24
8
8
12
0
0
0
4
4
16
16
16
16
16
8
18
16
16
16
4
4
8
9
14
24
16
16
0
0
2
19
19
4
4
4
4
8
8
0
0
0
0
10
10
16
16
8
8
0
6
8
0
8
8
8
1
8
8
8
1
8
8
1
1
16
2
2
0
16
16
16
16
32
20
20
0
0
0
0
16
16
16
16
16
16
16
0
0
32
48
32
8
0
0
1
8
8
8
8
6
8
16
16
16
16
4
8
8
8
0
16
4
4
16
32
54
4
16
8
8
8
2
8
8
8
16
2
8
8
16
16
16
0
0
0
4
18
18
16
16
16
4
16
12
1
24
0
2
2
16
0
2
0
12
8
8
16
8
24
8
8
0
0
4
7
8
0
0
0
2
0
1
1
1
2
2
1
1
1
1
8
4
26
26
26
26
32
32
8
16
0
0
16
8
0
32
32
32
32
8
0
8
8
8
1
1
1
1
1
0
4
4
4
4
4
8
1
10
4
8
1
1
1
1
0
0
8
8
16
8
8
8
8
16
8
8
8
8
8
8
16
2
2
2
1
1
0
0
0
0
16
16
0
0
0
12
8
8
16
16
16
16
16
16
16
8
8
0
2
2
2
0
0
16
16
12
8
8
18
18
28
8
12
12
0
8
4
4
0
8
8
8
32
32
32
8
1
8
16
16
8
0
16
24
4
5
16
8
8
8
8
8
8
8
8
8
8
8
17
16
16
16
16
16
16
8
16
0
0
8
8
8
8
8
16
16
16
0
8
8
0
0
0
0
0
16
16
0
0
0
16
0
8
16
2
2
2
8
16
0
20
20
16
0
0
16
16
16
16
16
0
4
0
0
1
1
3
0
32
16
16
0
0
0
2
4
0
0
32
0
8
17
16
16
8
24
8
8
9
8
8
8
0
16
16
16
16
8
8
24
8
24
0
0
0
0
2
2
2
16
8
8
8
8
0
0
0
0
24
8
8
8
4
4
1
16
8
4
4
4
4
4
4
16
16
16
16
16
16
0
2
2
16
16
16
1
18
8
8
0
0
0
0
0
0
0
4
4
0
8
0
0
0
0
4
4
8
58
50
25
25
25
0
0
34
8
4
8
4
1
1
1
1
1
1
16
8
0
8
2
2
16
16
16
16
8
4
18
1
16
16
16
1
8
16
20
20
4
4
8
8
2
8
8
12
8
8
8
8
8
8
8
8
0
0
8
24
8
8
8
8
8
8
8
0
16
16
16
16
16
2
2
0
0
1
16
16
16
10
10
10
10
16
8
16
2
2
10
13
28
8
8
8
24
16
16
18
8
8
8
8
12
8
17
17
17
17
17
17
17
17
17
16
16
16
16
16
16
16
0
16
8
1
1
1
8
8
0
0
0
0
16
8
16
16
16
32
32
16
16
16
0
0
8
8
8
16
16
24
24
24
0
32
0
0
16
0
25
16
16
16
16
0
0
0
16
16
8
8
1
1
4
4
8
16
16
16
16
8
2
4
4
4
8
8
1
1
0
8
8
16
16
16
16
16
44
28
8
8
8
16
16
16
16
16
0
0
0
8
1
0
24
16
16
8
8
0
24
16
8
16
16
16
16
16
16
0
24
8
2
2
4
4
0
0
8
1
1
1
16
16
8
4
16
8
8
0
48
0
0
16
16
24
24
24
24
24
24
0
0
16
16
16
8
8
8
8
8
16
16
16
16
16
8
8
2
2
4
0
0
0
16
0
0
16
24
4
4
0
0
0
0
0
8
8
0
0
8
0
8
8
32
41
8
8
8
16
16
0
9
9
33
32
0
0
0
0
0
1
16
16
16
16
8
8
8
8
0
4
4
4
32
0
4
9
1
8
0
2
2
1
8
0
8
8
0
8
8
8
8
4
4
4
8
8
0
8
0
8
9
2
2
8
8
8
1
8
8
8
1
1
1
0
8
8
8
8
0
0
0
0
0
0
12
1
1
1
16
16
32
32
32
4
4
4
8
0
0
8
8
8
8
8
8
8
8
16
16
0
0
0
0
0
0
2
2
2
0
0
8
8
8
8
8
0
0
8
24
4
4
4
0
0
0
0
4
16
16
16
0
32
32
2
4
8
2
2
2
2
1
1
1
1
8
8
32
32
2
2
2
2
4
2
16
8
16
16
8
1
1
1
1
8
10
16
0
8
1
1
8
4
16
16
16
8
8
0
0
0
0
8
8
8
8
0
0
0
16
16
16
16
16
4
4
4
4
4
4
4
4
17
16
16
17
16
8
16
16
24
16
0
8
0
8
8
8
8
0
0
24
16
4
4
4
16
16
8
2
8
4
0
16
16
20
25
1
1
8
0
0
0
8
8
8
8
8
8
24
8
8
16
16
16
20
12
12
30
48
32
8
8
8
8
8
0
8
8
8
8
8
4
4
1
0
0
8
8
16
16
16
16
16
4
4
8
9
24
0
8
8
8
0
0
8
8
16
16
16
16
0
8
8
8
8
8
8
0
0
2
2
8
8
8
8
2
2
2
2
0
0
1
16
16
16
16
0
8
16
16
16
16
16
2
8
8
8
8
8
8
8
8
8
8
8
0
8
16
16
16
16
4
4
0
0
0
0
0
0
24
16
16
16
16
16
16
16
0
16
16
16
16
16
9
9
4
12
13
13
12
8
8
8
8
8
8
0
16
16
16
16
0
4
16
16
1
1
1
8
8
8
9
8
1
48
48
48
48
19
19
0
0
0
0
0
8
8
8
8
8
8
25
16
0
0
8
8
8
24
24
16
8
0
1
1
2
2
2
8
1
0
0
4
8
8
8
16
8
8
8
24
0
0
0
0
0
2
2
2
0
24
1
16
16
16
24
24
0
12
0
0
8
0
8
0
18
18
4
4
16
16
8
8
8
16
16
8
8
8
8
8
8
8
8
8
16
0
17
1
16
8
8
8
8
8
8
17
17
17
0
8
0
8
0
0
0
16
2
2
2
4
4
4
1
1
1
0
0
24
32
8
1
8
0
4
8
12
12
8
8
8
8
8
1
1
0
16
8
8
8
8
16
16
16
0
8
8
8
8
16
16
8
32
32
0
0
32
0
24
8
8
0
0
0
32
8
8
8
8
16
1
1
2
2
1
1
1
1
0
0
8
16
16
16
0
32
32
32
0
0
16
4
4
0
0
0
0
0
0
8
8
2
2
8
2
0
0
8
2
0
0
24
8
8
8
0
3
3
2
2
2
8
2
10
4
4
12
0
8
8
0
8
16
16
16
8
8
4
4
16
16
0
8
8
8
8
4
8
8
8
16
16
16
16
0
8
24
8
0
0
19
19
19
19
24
24
0
16
8
0
8
16
16
16
18
16
16
16
16
16
16
16
16
0
16
0
0
1
16
16
16
4
8
8
1
16
8
8
0
18
0
0
2
2
2
2
2
16
8
8
8
8
8
8
8
8
8
0
1
1
1
1
16
32
32
32
8
8
27
16
16
16
16
16
16
0
0
0
0
0
61
0
16
16
16
0
8
0
0
0
0
24
24
24
0
16
0
0
0
4
4
4
4
4
0
0
33
33
33
33
0
0
1
0
8
0
0
0
16
0
0
4
1
1
4
0
1
1
24
8
8
8
8
42
42
42
42
0
16
16
8
0
0
2
8
1
8
8
8
0
0
4
1
1
32
16
8
16
16
0
16
16
16
16
16
8
16
0
22
16
16
16
8
0
0
1
1
1
1
4
0
0
0
0
0
16
16
4
32
32
16
16
16
8
8
4
2
5
5
4
4
1
0
0
8
8
8
0
1
1
0
1
17
1
1
1
1
0
8
8
16
8
8
32
8
8
8
8
8
8
8
8
0
0
24
24
24
6
8
8
8
4
4
9
9
8
8
16
24
32
32
1
1
0
12
8
8
8
38
0
4
4
4
0
0
0
0
0
8
1
0
0
8
2
2
16
16
16
16
3
4
1
1
1
8
8
8
8
32
32
32
32
32
32
24
16
16
16
16
16
8
8
16
24
8
16
16
16
16
8
8
8
8
8
8
8
0
16
33
33
4
4
4
4
2
16
16
6
2
16
16
0
0
0
1
6
1
1
2
16
8
16
16
0
0
0
5
5
1
2
32
32
8
8
8
8
8
2
2
0
0
8
4
4
17
17
16
16
16
4
4
4
4
16
16
16
16
32
0
0
0
0
0
0
0
2
2
8
12
8
8
8
8
8
8
8
8
8
8
8
8
2
0
0
1
0
0
1
1
1
8
8
4
2
8
8
0
8
8
16
16
16
12
40
40
0
59
1
1
1
1
1
16
0
0
8
8
8
4
4
20
4
1
1
1
24
4
0
2
8
8
0
16
4
8
8
8
8
8
8
8
9
9
1
8
9
8
1
4
0
16
13
1
1
0
0
8
0
0
20
4
2
2
0
16
16
4
0
0
4
1
16
16
16
16
16
24
16
10
0
0
4
4
4
4
0
0
0
3
3
8
8
8
8
0
0
16
16
24
0
4
4
4
8
8
8
0
16
16
16
2
2
2
8
16
16
4
4
4
4
0
0
8
8
8
0
0
24
8
0
0
0
0
8
2
2
2
0
1
1
24
24
0
8
17
17
17
0
0
8
1
4
1
25
1
1
8
0
0
0
2
2
34
2
1
1
1
0
0
0
4
4
4
7
7
7
8
8
8
8
16
0
0
0
20
4
0
0
17
17
34
34
57
0
1
1
32
32
32
16
16
16
0
0
0
0
0
8
4
4
8
8
16
16
16
16
16
0
2
34
1
1
12
9
1
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
4
4
8
24
16
24
16
1
4
4
0
0
8
8
8
2
2
20
4
4
8
16
16
16
8
8
8
8
8
8
0
16
8
8
4
4
4
8
16
16
20
1
1
1
1
1
1
16
0
0
3
3
0
4
4
4
4
1
1
1
1
0
0
0
16
32
32
16
24
8
0
16
32
8
8
8
8
8
8
0
8
2
2
2
2
2
16
0
16
16
16
16
16
16
16
16
16
4
4
2
2
2
2
0
32
8
8
8
0
8
8
8
8
8
0
0
0
0
59
8
16
0
0
8
8
8
56
56
5
5
5
24
8
16
16
8
16
8
0
0
0
0
0
0
0
0
0
16
16
1
8
9
6
16
16
0
4
0
16
16
16
12
12
12
8
0
0
8
8
8
0
8
8
8
0
17
17
17
16
16
24
24
8
4
4
4
4
4
4
4
4
4
4
8
8
8
0
8
0
0
8
16
16
16
16
16
0
8
8
8
8
20
0
8
8
8
0
0
8
16
8
8
0
0
16
24
17
16
16
16
0
2
17
17
8
0
0
8
0
0
0
0
2
0
0
0
0
8
0
0
0
0
16
16
50
24
24
8
8
8
8
0
0
8
8
8
8
8
8
8
8
8
10
10
10
8
8
33
33
1
1
0
0
16
16
16
16
16
16
16
0
2
2
8
0
0
0
0
2
8
8
8
16
16
16
8
0
16
16
16
16
16
16
16
16
1
1
8
8
8
8
0
8
8
8
8
16
16
8
8
16
4
4
4
16
16
18
0
8
8
16
16
16
16
16
24
16
32
16
4
4
9
12
16
16
8
8
8
0
0
1
2
2
16
24
8
8
8
0
8
8
8
16
16
0
16
16
16
8
8
24
8
8
8
8
8
8
0
25
16
0
8
16
24
16
16
16
2
2
2
2
2
2
0
1
0
8
16
0
0
22
22
18
2
8
0
8
8
8
8
8
8
8
24
16
8
33
33
24
0
1
33
8
9
8
1
1
1
0
0
0
16
8
8
8
8
16
8
16
24
16
16
16
0
0
0
16
16
1
1
1
1
16
0
1
8
8
16
8
8
5
4
4
8
16
0
16
16
16
0
8
8
8
4
4
4
12
0
1
1
16
16
16
24
24
8
8
8
2
0
0
0
0
0
16
8
8
8
0
0
8
2
4
4
4
0
1
1
1
16
4
12
12
0
0
0
2
18
2
2
0
8
8
8
8
8
8
24
8
8
8
8
4
4
0
2
0
0
0
8
8
16
4
0
0
8
8
8
8
16
0
1
8
0
8
8
8
0
0
8
8
8
17
1
0
16
16
16
0
0
4
0
4
8
8
8
1
1
1
0
16
8
8
8
8
8
16
16
8
8
2
2
2
2
1
1
0
0
0
1
1
0
8
8
0
0
8
8
0
0
32
8
9
8
8
8
8
8
8
8
1
1
1
1
1
0
16
16
16
16
16
8
8
8
8
8
8
8
8
8
0
0
8
6
4
0
0
0
17
2
2
2
0
0
8
1
9
16
8
8
0
0
8
0
16
16
36
0
8
8
0
0
9
0
0
0
0
0
16
8
8
8
16
4
12
4
8
8
8
0
0
2
8
8
8
0
0
0
0
0
0
0
16
28
16
16
16
8
8
8
8
8
0
16
16
16
32
2
2
32
33
8
4
4
4
1
0
0
0
8
24
24
0
16
16
16
8
16
16
16
16
16
16
16
24
8
8
8
16
8
1
1
32
1
1
1
1
1
10
10
28
28
0
1
1
0
0
24
1
1
1
1
1
8
8
8
0
0
0
6
6
1
1
16
4
0
0
0
0
0
8
32
16
1
1
16
16
20
22
22
8
16
16
10
0
0
2
0
0
4
4
18
0
0
0
0
0
0
0
0
2
2
16
2
1
1
1
1
4
4
4
0
0
1
8
8
8
8
8
0
0
0
0
8
8
16
0
0
0
4
4
4
16
0
0
0
8
8
16
5
1
1
16
16
16
16
28
16
1
1
16
16
16
8
0
0
0
0
0
16
0
4
4
4
62
0
8
8
8
8
8
16
4
8
4
4
16
4
0
0
0
8
8
8
8
8
8
16
16
19
0
16
16
16
16
16
16
16
0
16
1
16
1
1
0
8
8
16
16
16
16
16
8
0
10
16
16
24
24
24
1
1
1
1
24
24
24
8
8
8
8
8
8
16
16
16
16
16
16
26
2
2
2
2
2
8
8
24
4
4
4
4
4
16
16
16
16
16
4
8
1
0
16
16
16
16
0
16
16
4
4
4
2
10
16
0
18
1
24
8
8
16
16
0
16
16
16
4
20
4
4
1
29
8
6
1
33
1
1
2
32
4
8
0
0
0
0
16
16
8
0
10
30
0
16
16
8
8
8
4
4
8
8
0
24
24
0
8
8
0
0
8
8
8
8
8
16
8
0
0
8
0
8
0
0
0
0
2
27
2
8
8
4
8
24
24
24
2
1
1
1
8
32
48
32
4
4
4
0
1
1
28
16
16
0
0
2
16
24
16
16
16
0
8
16
1
1
16
16
16
16
16
16
16
0
0
16
16
0
8
8
10
10
4
4
4
0
25
25
9
9
8
8
8
8
8
2
2
1
1
0
0
0
0
0
0
4
1
1
1
0
16
32
47
4
4
4
0
0
0
8
4
4
8
8
24
8
8
0
1
0
2
2
2
1
1
8
0
0
0
1
1
1
1
28
4
16
0
4
8
8
8
0
40
8
16
8
16
8
24
2
1
8
8
0
40
32
8
8
8
8
16
16
9
9
9
8
8
8
32
32
1
1
1
8
8
8
8
0
0
6
4
4
4
0
8
8
8
8
4
4
4
4
8
8
8
8
4
8
8
8
16
16
16
16
0
8
8
16
16
16
16
16
16
19
0
0
2
2
16
0
1
1
0
16
16
16
16
16
16
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
0
8
1
1
8
40
8
16
16
16
8
8
8
8
8
8
1
1
1
8
16
16
0
0
8
8
8
8
4
8
8
0
8
9
9
8
0
8
8
16
2
2
2
23
23
4
0
8
8
8
8
8
1
1
1
16
16
2
2
40
8
8
16
16
16
16
16
32
0
16
16
16
1
2
8
8
8
4
2
16
16
16
16
16
0
20
16
0
0
0
8
32
8
4
0
0
0
0
48
48
48
12
16
16
16
16
16
2
2
2
2
4
0
8
8
8
4
3
3
3
3
8
8
0
16
16
16
16
8
8
8
8
2
8
8
16
1
8
8
0
8
8
2
2
2
3
1
2
16
0
8
8
8
24
8
8
8
1
1
1
0
0
16
16
8
0
5
21
0
16
16
8
16
1
8
8
8
16
0
8
1
1
8
0
0
8
8
16
16
16
16
16
10
1
1
16
16
8
16
16
8
0
0
0
0
0
0
0
1
8
8
8
8
8
8
8
8
8
20
0
0
16
8
0
16
0
4
1
16
8
8
24
2
2
2
2
2
2
8
8
8
40
40
0
0
0
0
0
0
0
8
0
16
0
0
16
16
0
0
4
20
20
8
8
8
8
8
1
12
4
4
4
0
16
16
16
4
36
8
8
1
1
1
1
1
1
0
16
0
0
0
0
0
4
0
0
4
0
0
0
34
34
26
0
0
16
16
24
24
8
16
20
1
0
16
16
8
8
16
8
4
16
16
24
8
8
8
8
8
8
12
1
0
8
8
0
8
8
0
2
2
0
0
16
16
16
16
24
24
24
24
8
8
8
16
16
8
8
16
16
8
16
16
16
1
4
8
8
16
16
16
16
16
16
8
8
8
8
1
0
16
4
4
16
4
1
24
8
1
0
8
8
8
8
0
0
32
8
16
24
16
16
0
0
7
8
8
8
8
8
4
4
4
4
4
0
0
2
1
1
1
1
8
2
2
8
8
8
28
0
0
0
8
8
8
44
44
26
1
16
16
8
8
2
25
0
8
8
0
8
2
16
49
16
33
24
16
0
0
2
8
8
8
2
2
2
2
2
24
16
16
8
16
16
16
0
8
8
8
0
16
8
8
8
8
8
4
4
8
4
4
0
0
0
0
0
16
16
16
16
0
1
1
0
16
4
40
40
40
8
8
8
2
2
2
2
0
0
0
8
0
0
8
8
8
8
0
0
0
0
0
0
0
0
16
16
16
16
2
8
16
16
0
0
0
8
16
16
16
16
1
16
2
2
2
2
2
2
2
2
2
8
8
0
0
0
16
1
0
56
32
16
2
1
9
9
9
9
9
9
0
0
2
2
2
1
16
16
16
8
16
16
4
4
4
8
8
8
0
16
8
0
48
1
8
8
0
8
8
8
16
16
16
0
0
0
0
0
8
8
32
32
32
8
8
8
8
8
8
8
8
8
0
0
0
16
16
16
1
4
0
8
8
1
1
1
1
1
8
30
30
6
0
0
10
8
2
8
8
0
8
12
24
8
5
4
4
4
4
4
0
0
17
17
8
8
8
8
8
8
8
4
26
0
0
0
0
8
8
8
8
8
16
32
32
32
32
0
0
0
0
0
0
0
4
0
17
1
16
1
4
4
4
1
8
8
0
8
16
16
16
16
0
0
0
22
16
18
18
4
4
4
4
8
8
1
1
8
16
32
32
32
8
0
0
0
16
16
1
1
1
8
8
24
24
8
0
8
0
0
8
8
16
16
16
16
16
0
0
9
8
8
0
8
8
4
4
0
0
0
2
2
24
16
16
16
16
16
16
16
4
4
8
8
8
8
8
8
8
1
0
0
16
16
8
4
2
4
8
8
8
2
2
2
2
2
0
8
16
16
8
8
0
24
8
0
16
16
0
2
2
2
0
0
2
2
2
2
16
24
8
8
8
8
6
0
0
0
0
8
1
9
0
0
2
2
2
2
2
2
2
0
0
8
8
8
8
8
8
28
20
8
8
2
2
2
24
8
8
4
4
0
24
24
24
24
24
24
32
16
8
8
8
8
8
8
4
0
0
0
0
0
0
8
8
8
8
4
4
2
2
0
0
24
16
16
0
0
16
3
1
8
8
4
0
24
24
24
8
2
10
8
8
0
16
16
16
0
0
0
8
8
8
0
8
48
16
16
16
0
8
8
8
8
8
0
0
0
9
8
8
0
1
2
2
2
2
2
2
2
2
2
2
0
0
16
0
16
24
8
8
8
0
0
16
16
3
2
0
24
16
16
9
0
1
1
1
0
0
1
1
16
16
16
16
16
8
8
4
4
4
4
4
16
4
20
8
8
0
0
8
8
8
12
8
0
0
0
0
0
1
1
1
1
1
0
0
1
16
18
16
16
16
16
0
8
8
18
18
18
8
8
8
8
8
0
0
0
0
8
8
8
8
8
19
19
16
16
8
8
8
0
1
0
0
8
8
0
8
1
8
8
8
16
1
1
5
1
1
0
16
16
0
8
8
8
16
0
8
8
8
16
16
16
8
8
8
8
8
8
8
8
8
8
2
2
8
15
15
15
8
8
11
11
11
16
40
40
40
16
0
0
16
8
8
8
1
0
0
8
8
0
0
0
8
1
4
0
1
1
1
1
8
0
0
0
0
8
16
0
8
8
0
1
8
24
8
0
4
4
0
0
0
12
1
8
8
4
4
4
4
8
8
8
12
12
12
16
8
28
0
16
16
16
0
0
1
1
8
1
0
0
0
0
0
0
0
4
4
0
8
8
12
12
12
0
8
8
8
0
8
8
8
8
8
8
8
20
16
16
16
16
16
16
8
8
0
0
0
0
8
2
2
2
2
16
5
5
16
0
12
12
8
0
2
16
16
16
16
16
16
2
2
9
9
1
32
41
32
32
32
32
32
0
4
41
41
41
8
4
0
0
8
24
42
8
8
8
2
8
0
0
16
16
8
8
8
0
8
8
8
8
16
16
8
8
4
0
0
16
16
4
2
2
2
2
2
16
17
8
16
16
16
8
8
8
8
0
8
8
8
4
24
8
58
1
43
9
9
8
8
8
8
0
0
0
52
32
32
16
16
16
8
16
16
0
8
0
16
16
8
8
8
0
4
40
40
8
8
8
0
0
0
0
0
8
8
8
8
0
32
32
8
8
42
0
8
8
0
8
9
0
0
16
16
16
16
16
16
16
2
2
2
1
9
16
24
22
17
17
17
17
25
25
25
25
25
1
16
1
2
2
16
32
1
1
1
1
4
4
4
4
4
8
20
20
16
0
0
0
1
1
1
1
16
16
16
16
0
0
0
0
0
0
0
4
20
16
1
16
8
8
0
0
0
0
0
8
8
24
8
8
8
8
8
0
0
0
0
16
16
16
16
16
16
0
0
8
8
16
16
16
16
16
16
1
1
1
1
16
16
1
16
0
0
0
0
0
16
16
16
16
16
8
8
8
0
8
16
16
16
16
16
16
0
0
16
25
25
8
1
0
0
0
0
0
24
16
16
16
8
8
8
8
1
4
4
4
8
8
8
16
16
20
0
4
6
18
16
2
2
8
4
4
4
16
16
16
0
16
8
8
16
8
8
0
32
0
0
0
2
8
8
4
4
0
9
4
4
0
10
8
0
48
0
16
16
24
0
0
0
0
0
0
0
16
16
0
0
16
16
16
0
16
0
4
2
2
1
1
8
8
6
6
6
6
4
8
8
8
8
8
8
32
8
8
12
12
12
12
28
4
8
8
8
9
9
4
28
16
4
4
0
0
0
0
8
0
0
24
24
0
2
8
8
8
8
8
0
0
0
28
28
4
4
16
16
8
8
0
16
24
0
8
16
16
16
16
16
0
0
0
8
8
8
9
9
1
0
16
16
0
0
8
32
0
0
16
16
8
8
17
17
1
1
8
0
0
16
16
34
16
1
8
4
4
4
16
9
32
16
16
8
0
16
16
16
8
8
8
0
16
1
1
0
0
8
4
4
8
16
8
8
8
8
0
8
8
0
0
8
8
8
16
16
0
16
16
8
8
16
16
16
16
4
1
1
1
1
1
1
0
4
40
40
8
1
24
24
2
2
2
2
2
16
16
16
16
16
8
8
3
3
8
8
0
8
0
4
32
32
32
32
16
16
16
16
16
4
0
16
0
0
4
16
16
8
8
8
8
24
32
16
2
2
2
2
8
8
8
8
0
0
0
8
0
8
4
4
4
8
8
8
8
8
8
16
8
8
4
4
4
4
4
8
8
16
16
16
16
1
32
32
28
4
17
17
17
6
4
8
16
16
0
0
16
16
8
8
8
8
0
0
32
32
32
16
4
24
24
24
2
2
2
8
0
0
0
0
0
0
0
8
4
8
10
10
1
8
8
8
8
4
4
4
4
16
16
8
8
8
8
0
0
8
8
8
8
0
0
0
0
0
16
16
16
16
8
0
0
16
16
8
0
0
8
8
8
1
1
0
0
0
32
1
1
1
1
1
32
32
40
24
32
32
32
32
32
16
1
1
1
1
1
8
0
0
0
0
16
8
8
8
8
8
8
0
0
2
2
1
8
8
16
16
16
16
16
16
8
4
4
4
0
0
0
0
0
1
8
8
8
0
1
1
4
1
8
8
8
16
0
1
8
8
16
0
0
4
4
4
8
8
0
0
0
16
24
16
16
0
0
16
17
17
1
16
16
16
16
4
4
8
8
8
12
16
16
16
1
1
1
8
8
8
8
8
8
0
0
8
8
8
8
0
2
2
8
8
13
13
8
1
1
0
8
8
8
8
0
1
1
16
16
8
0
0
8
8
8
8
8
8
8
8
0
0
0
1
0
36
36
36
36
36
8
8
4
0
0
0
8
8
8
8
8
8
8
8
8
8
24
8
8
8
8
8
8
8
16
0
8
9
12
0
8
8
8
8
8
8
8
0
0
8
4
4
8
8
8
8
0
1
4
4
4
8
8
8
0
2
8
8
0
0
8
1
0
0
33
33
8
4
4
4
10
0
0
0
16
0
0
16
16
0
0
32
32
17
17
17
17
17
17
16
16
16
16
16
8
8
8
4
4
18
2
8
8
0
16
8
8
8
8
8
16
16
0
0
32
0
0
8
8
8
4
4
8
8
16
0
16
0
8
8
0
0
2
2
2
24
20
20
20
20
4
4
4
0
4
2
10
2
0
0
1
1
16
16
8
8
8
8
8
8
8
8
0
0
0
24
24
8
8
2
2
2
2
2
2
17
17
0
0
0
8
0
8
8
0
8
8
8
0
0
4
4
4
4
4
1
1
8
8
0
0
8
8
8
8
4
12
16
16
8
8
8
8
8
8
8
8
8
16
16
16
4
4
4
4
0
0
16
16
0
0
8
16
8
8
2
2
0
0
32
32
32
16
16
0
0
0
0
0
0
0
0
8
16
8
8
8
0
0
2
8
8
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
17
16
16
16
2
32
8
8
8
16
16
0
16
4
4
0
16
16
0
0
0
0
16
8
2
2
0
0
0
0
0
0
16
3
4
4
4
8
0
16
16
16
8
8
8
0
8
0
4
1
8
8
8
16
16
8
0
0
0
8
8
8
8
8
8
24
16
18
0
16
16
16
16
16
9
9
16
8
16
16
16
0
0
0
8
8
8
4
4
8
8
16
8
8
8
8
24
16
16
16
0
10
10
8
8
8
4
4
0
8
16
16
0
8
8
8
8
8
16
8
8
2
18
2
8
8
8
8
8
8
8
0
0
16
9
9
9
32
40
32
40
8
8
8
1
1
1
1
0
0
0
24
0
0
0
0
0
0
0
0
16
16
16
0
16
16
16
4
4
24
24
0
0
16
4
4
16
24
8
8
0
24
8
19
17
17
0
56
0
0
0
2
2
0
3
3
3
0
0
0
0
0
0
9
1
8
48
16
8
8
8
8
1
0
0
0
16
16
4
4
16
16
0
0
2
2
0
0
16
16
16
16
8
8
8
0
0
16
16
16
32
32
32
0
4
8
8
8
8
20
8
8
16
16
24
24
1
18
20
4
21
21
21
21
8
2
1
1
1
1
1
0
0
41
16
16
16
0
8
8
8
0
0
0
0
2
2
4
0
18
0
0
1
0
0
16
18
20
16
4
8
8
1
1
8
0
8
1
8
10
8
8
4
0
0
0
0
0
0
0
0
0
30
30
30
16
8
8
8
2
1
4
0
0
8
8
8
8
8
8
8
8
8
8
1
1
1
0
16
0
4
4
4
4
1
1
1
4
4
4
0
16
24
24
0
4
4
4
4
8
8
4
4
21
21
21
21
9
9
4
4
4
8
8
16
30
30
4
4
4
16
16
12
32
32
16
16
4
8
8
8
8
8
8
8
8
2
21
32
32
32
32
32
32
32
32
0
1
8
8
8
0
0
8
0
24
12
28
1
24
8
8
8
1
1
8
8
18
18
18
18
18
8
8
4
0
17
16
1
16
1
0
0
0
17
16
16
0
0
8
8
12
0
24
16
8
8
8
13
8
16
16
16
16
8
8
8
16
0
8
8
16
1
1
1
44
32
32
16
16
8
8
28
0
8
8
8
8
0
0
32
0
8
8
8
16
16
16
16
16
16
16
8
8
8
8
0
0
4
4
4
2
2
2
8
8
2
12
12
12
12
12
12
12
8
12
8
0
0
1
3
1
1
0
8
8
8
16
8
16
1
1
1
32
32
32
16
0
1
1
1
0
8
0
4
14
4
4
16
0
2
2
2
2
16
1
4
1
1
14
15
14
8
8
8
0
8
8
8
1
25
16
6
8
0
1
1
8
8
8
2
2
0
0
16
0
1
16
16
16
16
0
0
0
4
4
4
16
59
8
8
8
8
8
0
16
8
8
8
8
8
8
8
8
8
8
32
32
0
0
0
0
1
5
0
0
0
0
13
4
4
4
4
4
8
8
8
2
8
6
8
8
8
8
40
40
40
40
8
8
0
0
0
0
0
0
8
8
8
0
0
16
16
0
8
8
24
24
8
8
0
0
1
16
16
16
16
34
0
28
28
16
16
24
24
16
24
16
16
0
0
0
0
0
16
8
8
16
16
8
8
8
4
4
8
24
24
24
24
0
0
0
0
16
16
16
16
0
0
28
0
2
2
16
16
0
8
8
8
8
8
8
8
8
8
0
0
16
16
16
8
1
1
12
12
8
4
4
4
0
0
0
32
32
8
0
0
8
0
0
4
0
8
1
4
4
4
4
4
8
8
8
8
8
8
0
8
8
8
8
8
32
40
32
32
32
0
0
8
8
4
4
2
24
24
8
0
36
16
8
16
24
16
8
8
0
0
2
8
8
8
8
8
0
8
16
8
0
24
24
24
8
8
8
16
16
16
16
16
8
8
8
8
8
16
8
2
2
2
8
1
8
0
0
16
16
8
8
8
0
4
4
2
2
2
0
24
0
8
8
8
0
16
16
16
16
16
16
8
0
0
0
17
16
16
16
16
16
32
32
32
32
32
4
4
32
32
0
0
1
8
8
10
25
25
8
25
32
48
48
32
16
16
16
0
8
1
16
0
2
2
8
0
1
4
24
16
16
16
0
0
0
40
0
8
8
0
0
0
0
0
8
8
8
8
4
18
0
0
0
0
16
16
16
4
4
8
4
12
16
16
4
4
4
18
18
16
4
4
8
0
1
24
24
8
0
0
0
8
8
8
0
0
0
0
16
8
8
8
8
8
19
19
2
2
0
0
1
1
0
0
4
0
0
0
0
0
1
33
1
33
24
16
8
8
0
24
24
0
0
8
8
0
0
0
16
8
8
8
8
8
1
1
1
1
8
8
8
16
16
16
6
0
0
0
0
0
16
16
2
17
25
17
17
17
0
8
8
16
16
16
8
8
8
8
8
8
0
0
3
3
3
8
0
0
0
8
32
32
32
0
0
0
0
0
16
16
16
16
16
16
0
20
16
16
1
1
0
16
16
2
2
2
2
2
16
4
4
4
4
4
16
16
8
8
8
8
8
8
0
4
4
4
4
16
16
4
0
0
0
0
8
0
16
8
16
16
16
16
16
0
16
21
17
17
17
17
17
17
17
17
8
8
16
16
0
0
0
2
2
5
5
4
2
2
2
2
0
0
0
8
1
1
0
16
16
1
1
1
8
0
2
8
32
32
16
16
16
8
16
12
12
12
0
0
0
0
0
16
16
0
0
0
1
17
0
16
16
16
16
16
16
10
10
10
10
4
4
0
0
8
0
0
4
4
36
4
4
4
18
2
2
16
0
0
0
4
18
4
25
5
1
1
8
4
4
8
8
8
8
8
8
1
1
16
16
16
16
16
0
0
0
26
26
26
8
8
8
8
8
2
2
8
8
8
8
8
8
8
22
16
8
8
8
4
0
0
0
0
0
8
9
9
0
16
2
16
16
8
8
8
8
20
18
2
1
1
1
8
16
32
40
32
12
8
8
8
8
8
8
8
8
2
2
0
16
8
8
8
8
8
9
8
8
0
16
8
8
4
4
4
8
8
0
0
0
4
4
1
0
32
34
32
32
8
8
8
8
1
1
1
0
16
16
8
16
8
8
8
8
0
0
0
0
0
16
16
16
0
8
32
16
16
16
0
0
0
0
0
0
8
8
32
32
8
8
16
16
16
16
8
0
0
0
0
8
8
8
8
8
0
8
8
16
0
0
2
2
2
2
2
2
0
8
8
8
0
0
4
8
16
16
8
8
8
8
8
8
8
8
24
8
8
8
4
4
4
4
6
16
16
4
8
8
16
16
5
5
5
0
4
4
4
0
0
0
32
32
16
0
0
4
4
4
4
4
0
1
1
0
0
0
4
32
32
36
16
32
1
1
1
1
16
16
16
0
1
1
1
1
1
1
1
0
4
4
0
0
8
8
8
8
0
0
16
16
16
16
16
16
16
58
58
10
10
10
8
24
24
5
5
8
0
8
2
0
0
0
0
10
4
4
16
16
16
0
8
8
16
0
28
0
0
0
32
32
16
16
16
8
8
8
0
8
8
8
8
8
8
8
1
1
24
24
24
24
24
24
24
24
16
16
8
16
16
16
25
50
50
50
8
8
8
1
1
0
16
16
8
8
0
0
0
0
0
0
0
0
0
8
8
8
13
0
0
4
16
16
2
2
2
2
4
36
16
16
16
16
16
0
6
6
0
0
8
0
8
8
0
16
8
24
8
0
9
16
16
0
16
16
16
16
32
32
8
8
16
16
16
16
0
8
1
9
8
24
0
0
0
16
16
0
4
4
8
8
8
4
0
0
16
8
16
8
8
8
8
8
0
5
5
5
16
16
16
16
4
4
16
36
36
36
16
16
16
16
2
2
8
28
28
8
16
8
8
18
18
0
32
16
16
0
0
8
8
16
8
0
0
16
16
16
32
32
8
8
8
8
8
8
8
8
8
8
8
8
0
4
4
3
3
3
1
1
1
16
2
1
1
1
1
16
16
4
4
0
0
16
2
0
1
1
2
16
8
0
0
0
0
0
0
16
16
16
16
16
0
8
4
8
16
16
16
0
0
8
8
0
0
4
4
2
8
8
0
4
8
8
8
0
0
0
16
34
34
34
8
16
16
16
16
16
2
8
8
8
8
0
0
16
16
16
0
0
0
28
0
0
8
8
16
16
16
16
0
8
9
1
16
16
16
9
9
9
8
24
16
8
8
16
16
0
16
0
0
0
0
0
0
0
0
8
32
0
0
0
0
0
32
16
16
0
0
16
16
2
10
2
4
4
4
4
4
4
8
8
0
0
24
16
8
8
8
0
0
4
0
1
9
1
0
0
0
0
0
29
29
8
8
8
8
16
8
8
16
8
8
8
8
0
0
8
4
4
8
1
1
1
0
8
8
0
8
0
0
8
8
8
16
1
1
0
8
8
8
8
8
2
0
8
2
6
4
16
16
16
16
16
9
8
24
16
0
0
0
0
0
8
8
4
8
0
0
4
4
4
4
4
4
2
0
16
16
21
16
16
0
8
8
8
8
8
8
8
18
23
0
0
0
0
0
0
0
0
16
20
20
20
0
0
0
0
8
8
8
0
1
16
0
8
8
8
8
8
8
8
4
4
4
0
0
0
0
0
8
8
0
8
2
2
2
1
1
8
8
10
10
8
16
16
16
16
16
16
16
16
0
0
0
16
16
2
2
4
8
4
4
4
4
20
0
8
8
8
8
8
4
4
4
45
18
2
2
8
4
4
4
4
8
1
1
16
16
16
4
4
2
2
0
0
16
16
16
40
16
8
0
8
0
2
2
2
2
16
16
16
16
8
16
16
16
16
16
0
0
0
0
0
0
0
8
8
8
8
0
4
4
8
8
0
8
8
8
8
16
16
16
16
16
16
0
0
0
8
16
16
0
8
8
8
8
24
0
8
0
0
16
16
16
16
16
16
4
4
4
4
4
4
4
22
0
0
0
0
16
8
8
20
20
8
0
0
20
8
8
8
8
8
8
8
8
12
8
0
2
16
0
8
8
9
9
9
9
9
4
0
0
8
8
8
8
8
28
28
28
4
4
4
5
5
5
5
5
5
5
5
0
0
8
0
0
0
4
4
16
8
10
33
0
0
8
8
8
8
0
8
8
4
4
4
4
4
8
8
4
4
16
16
16
16
17
24
8
24
1
1
1
1
8
8
8
8
16
16
2
2
2
0
0
0
0
16
0
8
16
16
0
0
0
32
24
8
8
0
17
1
0
0
18
18
16
4
8
32
32
32
16
16
16
8
8
8
24
8
30
30
0
32
32
36
36
36
12
0
16
0
2
2
2
2
1
1
1
1
16
16
0
0
4
4
4
4
8
16
16
16
16
16
16
16
16
4
4
16
16
16
0
0
0
2
2
8
0
0
0
8
0
4
1
1
1
1
1
8
8
8
0
16
16
32
58
6
10
0
0
48
0
48
24
16
16
16
0
1
1
1
1
8
2
2
2
16
16
16
0
0
0
0
2
2
2
0
0
8
8
8
8
28
0
0
1
1
16
16
8
8
4
4
16
0
0
8
8
0
48
48
16
16
8
16
16
16
16
16
16
16
16
16
16
16
16
16
40
40
40
16
16
16
2
2
12
0
18
16
16
16
16
0
0
0
1
16
16
16
32
2
8
4
4
32
32
32
16
16
16
0
0
8
9
16
0
0
0
2
16
8
8
16
12
8
8
8
8
8
0
3
2
2
2
4
4
8
8
4
4
0
16
16
16
16
4
4
4
4
1
1
8
20
16
4
4
0
0
0
1
20
24
16
16
16
16
1
18
18
16
20
4
4
4
2
4
4
8
8
9
8
8
8
8
8
8
8
5
24
32
48
24
16
32
32
32
16
16
2
2
2
12
12
8
8
8
4
16
16
10
0
8
8
8
16
16
16
0
2
2
16
16
16
0
0
8
8
8
4
4
16
16
28
20
4
4
8
8
4
4
4
4
4
1
13
13
13
0
16
24
24
4
4
4
8
0
24
8
8
8
8
8
24
24
16
0
0
16
8
0
0
32
24
16
32
0
0
1
4
4
16
17
0
8
8
8
8
8
8
8
8
8
0
0
8
0
0
0
0
4
4
4
4
8
8
8
0
0
0
0
0
0
0
0
1
1
0
33
16
8
16
16
16
32
32
32
2
58
24
24
0
16
16
16
0
8
8
2
2
2
8
0
16
17
16
16
16
0
0
0
8
8
4
4
4
16
16
16
16
16
1
1
9
9
9
9
9
4
0
0
16
0
1
1
1
16
16
16
1
16
16
16
16
16
16
25
25
0
0
0
2
2
1
1
1
1
8
8
0
0
0
2
8
8
8
8
18
8
8
48
43
33
41
0
17
16
6
8
8
8
8
8
8
0
0
16
16
16
9
6
6
40
0
0
0
0
0
32
2
16
16
16
16
16
16
4
8
8
24
8
3
2
2
2
2
16
16
20
0
8
24
8
8
2
16
0
0
0
8
8
8
8
8
1
16
1
32
32
32
1
1
1
8
24
8
2
2
0
0
8
8
8
40
32
8
8
8
2
2
2
8
8
8
8
16
16
24
16
8
24
8
16
16
8
8
16
28
28
28
28
28
16
0
0
0
0
0
0
0
2
18
26
0
8
8
8
8
8
8
8
8
24
2
2
2
2
16
16
16
16
16
2
2
25
16
16
2
20
16
4
20
20
0
0
0
0
0
0
0
32
32
32
32
32
8
24
16
16
30
30
30
30
30
30
0
5
5
2
2
16
0
0
16
16
0
0
0
0
16
16
16
16
4
4
2
2
0
0
0
0
0
8
8
16
8
20
20
20
0
24
24
0
16
0
16
8
0
0
4
0
10
32
4
4
8
8
8
8
8
16
16
1
8
8
8
8
20
4
5
5
8
8
8
41
57
4
0
4
8
8
16
16
0
0
0
0
8
8
6
1
6
1
1
8
16
24
2
8
8
2
2
0
5
8
0
0
8
8
8
0
0
0
8
8
8
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
8
0
0
0
18
16
16
5
5
0
0
0
0
0
8
1
16
16
16
16
16
16
16
0
0
0
32
0
8
1
4
4
17
48
0
0
8
8
16
16
16
16
16
0
16
16
12
9
9
8
0
9
9
2
2
2
2
8
16
8
24
0
0
24
24
16
16
2
2
1
0
16
0
16
0
0
0
0
1
1
1
2
2
2
4
4
4
8
20
8
8
8
8
8
4
4
4
16
4
4
4
4
1
1
1
1
1
1
1
16
16
8
2
2
2
8
0
0
9
24
24
4
8
0
0
0
16
16
8
8
8
8
8
8
8
0
4
16
16
2
2
1
17
8
8
8
8
20
16
32
0
0
8
12
4
2
0
0
4
8
8
16
16
24
1
1
10
8
8
8
0
0
4
16
16
16
0
0
0
0
0
0
1
1
0
8
0
8
0
8
8
8
8
8
8
8
8
8
8
8
8
8
0
10
10
4
4
4
16
16
0
0
0
0
0
0
16
16
24
9
0
0
8
1
1
1
1
16
16
16
16
16
0
0
0
32
32
32
0
8
8
8
8
8
8
8
16
16
16
16
16
16
0
0
8
0
4
4
4
16
16
16
16
8
1
1
4
4
4
4
4
4
16
8
24
1
8
4
4
12
1
2
8
2
2
2
2
2
2
2
2
2
4
4
8
8
8
8
8
16
16
0
0
8
16
16
0
0
0
0
0
8
13
16
8
0
1
16
16
20
24
8
8
8
8
8
8
1
1
0
0
0
0
8
8
8
8
4
4
1
4
0
8
8
8
8
8
16
4
4
4
8
8
8
1
4
3
19
32
32
2
2
0
0
0
8
2
8
2
8
8
8
8
8
16
0
1
1
1
0
0
0
0
0
40
0
8
8
8
8
16
0
0
4
2
2
2
2
8
8
8
12
8
8
8
0
8
1
1
16
16
8
16
8
8
0
16
8
8
8
8
8
16
16
16
16
16
2
16
16
16
16
24
24
8
8
8
2
8
8
1
8
8
16
0
8
8
8
8
8
40
0
0
0
32
8
8
8
17
0
8
0
0
1
1
1
16
4
0
0
0
0
8
2
8
8
8
8
8
8
8
1
0
0
0
0
0
0
8
16
16
16
2
2
0
8
16
16
16
8
4
4
8
0
25
0
0
0
0
2
2
0
2
2
2
2
8
8
4
0
0
0
0
0
25
25
25
9
8
0
16
16
8
8
8
8
2
2
0
16
16
16
0
16
0
8
0
0
2
2
2
16
2
48
16
16
16
16
16
16
0
1
4
4
4
4
8
8
8
0
0
0
0
0
0
0
20
2
2
2
16
0
0
0
0
24
24
8
8
0
2
2
8
8
8
8
8
8
8
8
8
19
19
18
8
8
8
8
8
8
32
8
8
8
8
8
8
0
2
2
2
2
2
0
4
4
8
8
0
0
23
23
24
24
24
20
20
8
2
8
0
0
0
0
0
0
16
16
16
3
8
8
8
16
16
0
0
0
0
0
0
0
0
0
0
16
16
0
8
8
8
8
8
1
16
0
8
8
8
8
1
1
0
24
24
8
0
8
8
8
16
12
16
16
16
16
24
0
0
12
8
2
10
16
16
16
0
0
0
0
0
1
8
16
16
16
16
8
8
16
16
16
8
8
8
8
8
8
8
1
1
0
0
0
6
8
16
16
16
16
0
2
2
8
0
0
0
8
8
16
16
1
1
5
0
0
8
8
0
0
0
0
16
1
1
16
16
16
0
0
1
32
32
4
0
4
4
4
4
16
16
4
4
1
1
0
16
16
16
16
0
32
8
1
1
9
0
32
0
0
16
8
8
16
16
16
16
16
1
8
8
8
0
0
0
8
0
4
32
32
32
16
8
34
34
16
16
28
40
8
0
0
26
2
2
2
16
0
0
32
32
32
16
16
16
16
16
16
16
16
16
16
16
16
2
2
8
8
8
0
0
0
16
0
8
8
8
8
0
8
16
1
1
1
8
8
10
8
8
8
8
0
0
0
8
8
8
8
8
8
8
3
8
8
8
8
8
8
0
0
16
16
17
16
6
2
2
2
2
8
32
0
0
0
8
8
0
16
16
0
0
8
8
4
12
0
0
8
16
2
16
16
0
3
3
1
8
0
0
0
0
8
8
8
8
1
8
37
4
4
0
1
1
1
0
4
1
1
1
1
1
0
8
12
8
8
16
16
16
0
0
16
8
8
8
0
8
6
6
6
6
32
32
32
8
8
20
0
0
4
8
8
4
4
4
4
0
16
20
20
20
8
8
8
8
24
8
0
0
0
0
4
4
3
0
25
24
8
4
4
16
16
16
16
1
8
8
8
16
16
16
16
16
0
16
16
16
16
16
16
2
2
16
0
0
4
4
4
4
0
14
14
0
16
16
16
16
0
0
0
8
16
1
5
16
16
24
24
24
8
8
20
20
16
0
0
0
0
0
16
16
0
16
16
16
16
0
0
0
0
22
1
1
1
1
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
2
2
8
8
8
8
8
16
8
8
8
8
28
2
4
4
4
4
4
4
8
8
8
24
24
24
0
0
0
0
1
1
1
8
8
8
4
2
16
16
16
16
8
9
8
16
16
16
16
16
16
16
16
16
16
16
16
0
0
0
0
16
20
20
8
8
8
8
8
8
0
8
0
0
8
8
8
8
30
2
0
22
20
8
8
0
0
0
16
17
16
16
2
33
1
25
25
8
8
8
8
8
8
16
17
25
25
32
16
16
17
2
2
12
12
8
8
8
1
1
1
20
0
16
26
4
16
0
8
8
0
0
0
16
8
4
2
18
18
8
8
8
3
32
32
32
32
32
0
0
0
0
0
0
8
0
2
2
0
0
0
0
4
1
8
0
0
16
16
16
16
16
1
1
1
1
8
8
8
8
8
0
20
0
1
1
8
0
3
16
16
16
0
16
16
16
16
16
0
0
8
8
8
16
36
8
12
3
3
4
32
32
0
8
8
28
12
16
0
8
8
8
0
0
0
8
4
8
8
8
0
0
0
8
1
1
1
32
32
16
16
0
0
2
2
8
8
8
8
0
8
8
8
0
32
32
0
0
8
8
8
8
0
34
8
8
4
4
16
0
0
8
25
25
8
8
16
8
8
16
4
24
24
32
8
8
8
16
8
8
0
0
24
24
0
0
0
0
0
0
8
8
0
0
16
16
0
16
16
16
16
16
1
22
0
8
8
8
0
16
16
16
16
32
0
16
16
0
49
49
4
4
2
13
4
4
8
0
0
0
0
0
0
8
8
8
8
8
8
16
16
3
3
0
8
8
18
2
8
8
16
24
16
8
8
8
16
16
16
16
16
16
16
8
12
8
8
8
8
8
16
17
16
8
8
8
8
24
16
16
16
4
0
0
0
18
18
18
0
0
20
20
20
8
8
16
0
0
0
8
34
16
0
8
8
8
8
8
8
8
17
16
2
8
8
8
0
0
8
8
17
17
0
0
0
0
8
8
8
20
20
20
20
2
2
6
2
2
0
2
2
2
0
16
16
16
16
16
2
0
8
24
8
8
8
0
24
0
0
0
0
0
0
0
8
8
8
2
8
10
24
24
24
0
4
4
16
0
0
0
1
17
17
17
17
16
0
4
20
8
0
18
2
16
16
8
8
8
8
8
16
8
16
24
16
32
8
24
16
0
8
8
8
0
0
0
24
24
8
2
2
4
16
16
16
16
16
16
16
4
2
4
4
8
8
8
0
16
16
0
16
4
8
8
8
8
8
8
16
1
1
16
24
16
0
8
0
0
0
1
8
8
8
8
8
0
0
8
8
4
4
0
0
16
0
8
8
8
8
8
0
19
19
0
4
0
0
0
0
4
4
0
0
0
48
8
8
8
8
8
10
10
8
0
16
0
8
0
8
16
1
16
16
16
16
11
8
8
8
8
8
8
8
8
8
0
0
8
8
0
8
8
0
0
0
8
8
20
16
16
0
0
16
0
16
0
0
0
0
0
0
8
8
12
4
0
24
24
0
24
24
24
24
0
0
0
1
1
1
1
0
0
0
16
16
4
2
8
8
20
20
8
26
33
33
33
32
8
8
8
8
8
8
8
8
8
8
4
4
38
20
20
20
16
8
8
8
24
8
8
8
8
8
2
2
4
4
4
0
16
8
4
0
0
0
0
0
0
0
0
4
8
0
0
0
8
0
0
4
2
2
2
32
0
16
8
16
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
12
8
2
2
8
8
8
8
8
8
8
8
0
0
0
0
8
8
16
8
8
16
16
16
16
16
4
8
24
8
1
1
1
1
8
8
8
8
24
24
16
16
16
16
16
16
8
16
0
0
16
16
16
16
8
16
0
0
0
16
16
1
1
16
8
8
8
8
28
16
16
0
8
8
8
16
16
16
16
8
8
0
1
1
0
0
2
0
0
1
16
16
8
8
8
8
16
1
1
8
8
0
0
0
0
0
0
8
8
8
8
0
8
8
8
8
8
0
0
8
8
8
8
8
8
12
16
16
16
2
0
0
0
8
24
16
16
16
0
0
40
40
24
8
8
24
8
16
16
8
1
1
1
0
0
10
2
27
0
8
8
8
4
4
4
8
0
0
0
8
16
0
0
0
0
16
8
8
8
8
4
0
8
16
16
16
16
16
16
1
1
1
1
1
1
8
8
25
16
16
16
4
4
4
4
4
8
8
8
1
1
1
1
1
4
8
16
16
12
12
12
4
4
4
4
4
0
24
0
4
4
4
16
16
0
8
8
0
8
8
8
32
0
32
8
8
0
0
1
1
1
1
1
1
0
0
0
0
0
0
8
0
0
0
0
5
0
25
16
16
16
0
16
16
16
16
20
8
8
8
8
0
0
0
16
16
0
16
8
8
8
16
16
16
16
16
16
16
16
16
16
16
16
41
0
8
8
8
14
1
0
8
8
8
8
8
8
8
16
16
0
8
8
16
0
0
4
8
8
16
16
1
16
24
16
0
0
8
8
8
8
16
24
24
0
0
4
4
8
36
36
36
36
2
16
16
16
16
16
2
8
8
8
8
8
8
8
8
8
8
16
16
16
8
8
0
16
0
0
16
16
16
16
8
8
8
8
8
8
8
8
0
4
32
16
16
16
0
8
16
16
8
16
8
12
12
12
12
4
4
18
24
16
0
0
0
0
16
16
16
16
0
0
0
0
0
32
33
4
4
16
16
10
10
10
8
2
2
2
0
32
32
4
4
2
2
2
2
3
16
16
8
8
8
8
32
16
8
16
16
0
8
8
8
8
8
16
8
8
24
8
8
16
16
0
0
8
8
8
0
1
1
0
2
2
2
2
2
8
0
0
8
24
16
16
16
16
1
17
1
4
0
0
0
0
0
0
0
0
0
0
0
0
0
26
26
26
26
48
0
0
16
2
2
8
0
0
32
32
16
16
24
8
16
0
16
16
16
16
10
10
16
16
16
16
0
0
0
4
4
4
4
4
2
2
0
8
0
0
0
0
0
0
1
16
16
16
16
8
8
2
8
10
8
16
16
16
16
16
16
40
40
40
2
0
1
1
0
0
0
0
0
0
4
0
2
0
0
0
0
0
16
16
8
8
8
16
16
16
16
16
16
0
0
32
0
0
8
16
16
32
32
32
32
32
32
8
8
16
16
16
0
8
8
2
0
1
1
1
1
1
1
8
8
8
8
8
8
8
8
0
0
0
16
4
4
0
8
8
8
24
16
16
0
0
32
16
16
16
16
16
8
8
8
8
8
0
0
8
12
8
8
8
8
8
16
8
16
0
16
16
16
4
12
0
32
32
32
8
16
16
1
1
2
1
2
16
8
8
8
8
8
4
4
0
0
9
9
9
9
9
8
4
4
4
4
8
8
8
8
8
8
24
0
4
4
8
16
0
0
8
8
16
8
24
0
0
2
8
8
8
8
8
8
0
0
2
13
13
13
0
0
4
22
22
22
0
0
24
0
8
8
0
8
8
8
0
0
0
0
8
8
8
8
1
8
1
1
1
1
4
4
0
0
16
16
0
0
0
12
12
12
0
36
4
4
4
4
4
16
16
16
8
4
24
0
16
16
16
16
16
16
0
0
8
4
16
16
17
24
8
8
1
1
1
17
16
27
8
12
2
2
8
8
8
0
0
36
5
8
42
0
41
41
41
41
8
16
16
16
16
16
28
24
16
16
16
16
16
16
16
16
16
8
8
16
32
16
16
8
8
8
8
8
8
1
0
24
24
16
16
24
8
40
4
8
0
16
16
8
8
2
2
2
4
16
16
16
16
16
0
2
2
2
0
0
8
16
8
24
24
0
0
0
0
0
0
8
8
8
8
4
16
16
16
8
27
2
0
0
8
8
0
8
20
20
0
0
0
8
2
20
0
0
0
0
8
8
6
0
0
0
16
8
16
16
16
16
57
40
46
0
0
16
4
4
4
4
4
8
0
0
8
8
0
4
4
4
8
24
0
24
24
8
0
8
8
8
8
8
8
8
8
8
8
8
8
8
0
16
16
8
8
4
2
0
0
1
1
1
1
1
8
8
8
8
16
16
16
2
2
2
2
2
2
8
8
8
16
18
0
0
8
4
16
1
1
1
4
4
0
19
19
8
1
1
0
0
0
0
0
0
14
0
0
8
8
8
1
1
1
2
6
8
8
4
0
16
0
0
0
8
16
8
16
0
4
4
8
4
2
0
0
0
0
16
24
24
0
0
0
8
1
8
8
8
8
16
16
16
16
16
16
16
14
0
4
4
4
4
8
4
4
0
0
0
16
16
16
16
8
0
1
0
16
16
16
1
1
1
8
8
8
8
8
8
0
0
0
4
8
16
24
24
24
16
1
8
0
8
0
32
32
32
32
32
33
1
1
1
1
1
1
1
8
1
1
8
0
0
0
8
8
8
8
8
0
16
4
4
0
8
8
8
8
8
0
0
0
4
4
4
8
8
0
1
1
1
1
16
0
0
2
16
0
0
0
0
0
0
0
16
16
16
0
0
0
0
0
16
24
0
0
0
0
0
8
32
0
0
24
24
16
0
49
8
8
8
4
4
4
0
2
2
2
8
8
8
8
1
16
2
16
16
16
0
0
0
1
4
4
4
4
0
8
8
8
0
1
1
1
0
0
0
8
8
0
24
8
2
2
8
4
4
1
8
8
8
8
8
0
0
8
0
25
25
8
16
16
16
17
4
4
4
8
8
20
16
16
0
0
0
0
8
1
1
17
17
32
32
32
16
16
16
16
24
24
24
24
0
8
8
16
16
24
24
8
8
8
0
8
8
16
16
8
8
2
2
2
1
0
0
16
16
9
16
0
0
0
0
8
8
16
0
8
8
2
40
0
8
8
8
8
8
8
8
2
2
0
0
17
4
8
8
0
16
8
8
8
4
4
4
4
4
4
1
1
1
1
16
16
0
0
3
1
8
8
57
57
57
0
0
0
8
8
4
1
16
0
1
1
1
4
0
0
0
0
12
2
0
8
4
8
16
0
2
2
0
0
0
8
8
0
8
8
8
12
8
8
0
0
8
8
8
0
4
4
4
1
0
0
0
0
0
0
16
16
16
16
16
16
8
0
8
8
0
8
0
0
0
1
0
8
8
0
8
8
28
8
0
0
16
16
1
1
1
1
0
20
24
24
8
0
0
16
16
16
8
8
8
8
16
8
1
1
0
16
16
2
2
2
8
8
8
8
2
2
2
0
8
0
0
32
8
0
0
2
10
12
4
0
0
16
56
8
8
8
0
0
8
8
8
8
8
30
8
8
8
8
8
8
4
4
4
0
0
0
0
2
2
2
0
8
8
8
8
8
8
0
16
8
16
16
2
1
0
16
16
16
16
8
32
52
53
52
1
1
8
8
8
8
24
24
24
4
4
4
0
0
32
32
32
16
16
16
0
20
8
16
16
16
32
40
32
0
0
16
16
1
2
33
33
33
16
0
0
8
2
2
2
28
8
8
0
16
16
16
32
2
16
16
8
0
0
0
16
16
16
0
8
8
8
8
8
8
8
12
4
0
8
8
0
0
8
32
32
32
8
16
16
16
8
8
8
0
0
0
0
1
0
8
0
16
16
16
25
25
8
0
34
32
8
4
16
0
8
2
2
8
8
8
8
16
16
2
16
2
2
2
4
0
8
1
24
16
24
1
0
0
8
8
8
8
8
0
0
8
5
5
0
0
50
50
50
32
32
32
32
32
1
1
1
0
0
8
8
8
8
8
8
8
8
16
0
0
24
24
24
24
24
16
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
16
16
16
16
8
0
8
8
0
0
16
16
0
1
16
40
8
8
16
8
0
0
0
4
4
4
0
8
8
12
12
12
16
16
16
16
8
8
8
0
0
8
8
1
1
1
16
16
0
1
1
1
8
17
16
0
0
8
8
8
18
16
0
8
8
32
32
8
8
0
2
2
17
0
8
0
8
8
8
8
0
8
8
8
1
1
1
16
0
16
16
26
26
8
8
8
8
8
8
8
32
8
9
9
8
16
8
8
8
8
8
8
24
21
16
16
0
24
0
16
16
16
1
17
8
24
8
8
8
8
8
34
34
34
16
16
16
16
16
8
8
8
8
18
0
48
0
0
0
0
8
0
8
8
8
8
8
8
8
0
16
16
1
1
0
0
16
16
0
8
12
16
2
2
18
0
0
8
0
0
0
0
0
16
8
8
8
0
0
0
0
0
0
0
0
8
8
16
16
16
16
4
4
4
4
4
4
4
4
4
32
16
16
16
8
32
32
4
4
4
0
0
0
0
16
0
0
0
16
0
0
0
0
8
16
16
0
16
0
8
8
0
0
8
40
40
24
8
8
0
0
36
36
0
0
0
16
16
16
16
8
8
1
1
1
1
1
1
16
8
8
16
16
0
0
0
0
8
8
8
8
8
8
8
0
16
2
8
4
0
4
4
45
0
0
16
8
8
8
0
0
0
4
4
2
1
8
4
4
4
20
20
20
20
20
20
16
16
16
16
16
16
0
16
8
24
8
0
0
14
14
14
0
0
8
8
8
8
8
0
0
8
48
8
8
0
8
8
8
16
16
16
16
16
8
8
0
56
0
0
40
16
16
16
0
25
25
25
2
2
2
1
1
0
0
0
0
0
8
16
16
16
8
0
0
8
8
0
0
2
2
2
0
23
2
18
2
16
8
12
4
16
16
16
29
28
1
1
1
24
0
1
1
0
4
4
32
32
32
25
1
16
4
4
16
16
16
16
8
8
8
8
24
24
8
16
1
16
0
0
8
0
8
8
8
8
16
16
16
16
16
16
16
16
16
16
20
16
16
16
8
16
8
8
13
16
24
16
16
16
16
1
8
0
8
8
12
8
0
2
4
4
2
2
2
2
18
2
0
52
1
1
0
0
0
1
1
1
0
8
8
0
16
16
16
8
8
8
16
2
2
2
8
8
32
0
0
8
8
8
4
4
16
16
42
42
27
8
8
16
16
16
16
17
17
17
0
12
4
4
18
18
0
8
4
8
0
8
16
8
0
0
1
9
1
1
16
0
0
8
8
8
8
8
8
8
8
0
0
0
0
8
8
16
8
8
4
4
4
0
0
16
16
16
45
45
45
0
0
0
8
8
16
16
4
4
4
28
0
8
8
20
4
4
4
4
4
4
8
8
16
0
4
24
8
0
34
34
16
16
1
1
8
8
8
0
0
0
2
20
20
20
20
20
20
8
12
8
0
0
8
24
24
16
16
32
0
0
0
0
0
0
0
4
4
4
8
1
3
17
2
16
16
8
8
8
16
0
0
0
0
16
16
0
0
8
8
8
8
8
8
8
8
8
0
8
30
30
8
8
8
8
8
0
8
8
8
8
10
16
16
8
8
8
27
2
0
3
40
1
8
8
0
0
0
16
0
8
8
8
8
8
8
8
32
16
0
16
24
16
16
16
24
16
0
2
8
4
0
0
16
16
1
0
0
0
0
2
1
1
1
8
8
8
8
0
0
0
0
0
4
4
4
4
4
8
32
32
0
0
4
4
16
16
16
0
0
0
0
0
0
0
0
16
16
2
2
2
13
8
8
16
2
2
16
16
16
16
16
16
16
16
8
8
17
17
24
24
4
0
0
16
3
10
10
16
16
16
28
12
8
0
8
0
0
0
16
16
16
16
8
16
20
20
4
4
1
8
16
16
16
16
16
16
16
8
1
1
2
2
16
16
8
8
8
0
48
48
8
8
16
16
16
16
16
16
16
4
4
0
16
16
12
4
8
1
1
8
8
2
2
2
16
16
16
8
16
0
8
8
16
2
2
16
16
16
16
16
8
8
8
0
0
0
4
24
24
8
16
32
32
7
16
23
8
8
16
21
21
1
1
8
16
16
16
16
16
8
4
4
0
2
2
2
5
8
8
32
8
8
1
16
24
8
8
8
16
2
2
2
2
2
2
0
0
8
32
32
32
32
32
8
8
8
8
16
16
20
20
20
20
20
20
20
20
20
8
24
8
0
0
20
20
4
4
2
2
8
8
24
1
8
8
8
1
0
16
16
10
8
2
2
8
8
8
8
16
16
1
0
0
4
4
8
8
8
8
8
8
16
16
16
0
0
0
32
32
8
16
16
16
16
16
0
0
16
8
16
16
26
16
16
20
16
16
16
16
16
16
8
16
16
1
4
16
16
0
24
0
0
1
24
24
24
8
24
8
4
4
32
28
28
0
8
8
8
2
2
0
4
0
0
0
0
8
5
1
5
0
24
8
12
12
16
20
20
20
16
4
28
28
3
3
3
3
0
17
12
17
17
17
8
0
16
16
16
16
8
8
0
8
1
1
1
1
1
12
8
8
8
8
8
8
0
2
2
11
11
11
8
8
8
9
8
8
8
0
0
2
2
16
16
8
16
16
0
8
8
36
36
1
1
0
0
0
4
4
4
4
4
4
4
1
9
8
4
16
30
0
16
1
1
9
9
8
8
0
0
1
0
16
2
8
0
4
0
0
0
8
8
16
16
16
16
0
0
16
0
8
24
8
8
1
1
1
0
0
8
8
8
8
8
8
8
8
8
8
8
0
0
44
4
4
4
4
16
16
0
2
4
4
4
8
8
14
9
16
16
16
16
8
1
1
1
4
0
0
0
3
4
4
16
0
0
4
8
9
1
0
0
0
16
16
4
0
3
6
2
9
16
32
8
12
40
16
0
0
9
9
9
9
0
0
0
0
16
8
8
8
4
4
4
4
4
0
0
0
0
16
6
16
8
1
8
16
0
0
0
28
28
6
6
0
1
1
1
1
0
8
24
0
0
0
0
8
8
8
8
0
0
24
4
4
4
8
8
8
8
8
0
16
8
16
16
16
16
16
16
12
8
0
0
0
0
16
8
8
8
16
8
0
1
1
8
8
32
32
0
0
0
0
0
0
2
8
8
0
8
8
0
0
0
0
4
0
2
2
8
8
16
16
2
32
0
2
2
32
32
2
2
0
0
0
16
16
16
16
8
8
8
16
4
32
32
32
1
1
1
20
48
8
16
16
0
1
2
2
0
8
8
0
2
8
8
8
1
32
2
2
24
1
16
16
16
4
8
8
8
2
2
4
1
0
8
4
8
4
20
0
0
2
8
16
16
20
16
16
8
8
32
0
4
16
8
40
8
0
32
32
8
8
0
16
16
1
1
16
16
16
8
16
0
0
4
4
4
4
4
4
8
8
8
4
0
0
8
8
8
8
0
0
0
0
8
8
8
24
8
8
16
0
0
0
8
8
8
8
8
1
8
8
8
8
0
8
8
8
8
8
0
1
0
0
20
16
49
49
49
49
8
10
10
0
32
32
32
8
0
0
4
16
8
49
49
4
4
1
1
24
0
8
8
0
0
0
8
8
24
16
4
4
4
4
4
0
16
2
16
18
16
16
0
0
0
8
8
8
8
0
0
0
1
1
1
1
1
1
1
16
16
16
16
16
16
16
8
8
8
4
0
40
56
4
4
8
16
8
8
8
20
32
2
2
2
32
32
32
4
4
16
4
8
24
24
8
1
4
4
8
8
8
0
0
0
0
8
4
5
16
16
16
0
0
16
16
16
16
0
0
40
40
8
8
8
4
4
4
5
5
5
5
5
5
32
32
32
2
2
2
2
2
1
8
30
16
2
2
2
2
12
0
0
17
16
16
0
16
0
16
16
16
16
16
16
16
16
16
16
8
0
0
0
4
4
1
0
0
0
1
16
0
8
8
8
8
2
16
0
9
8
36
8
8
8
8
0
8
0
32
8
8
0
0
4
8
18
16
8
0
8
8
2
2
2
10
24
10
4
4
4
4
8
8
8
16
16
16
0
17
4
4
32
16
16
16
16
16
8
8
8
8
16
16
16
21
8
0
8
0
0
0
0
0
0
8
8
1
0
4
4
6
4
4
4
2
2
1
1
8
0
16
16
16
0
2
2
0
8
34
1
0
0
8
8
6
16
16
8
8
8
8
2
1
0
16
16
8
8
8
8
8
2
2
2
0
8
0
24
24
0
2
0
0
8
8
3
3
2
2
16
16
16
8
8
8
8
8
8
0
0
0
0
0
16
16
16
0
8
17
0
16
16
16
16
0
8
16
16
16
0
12
16
16
16
16
16
16
16
16
16
4
4
0
16
32
32
8
8
8
8
8
16
17
0
0
16
0
4
8
10
8
0
0
0
0
0
0
8
8
8
8
8
8
8
0
8
16
8
8
8
8
8
8
0
0
0
0
8
8
1
3
8
8
1
1
16
16
0
0
0
20
20
20
20
8
16
16
16
0
8
0
0
16
16
16
24
4
8
8
8
2
2
8
8
8
2
2
0
0
0
16
16
32
32
32
0
8
16
16
16
8
8
8
8
13
9
9
8
8
8
8
16
16
16
16
4
0
8
8
8
8
8
8
8
8
0
0
0
0
0
0
2
8
8
8
8
8
8
0
4
4
4
8
0
1
1
4
4
41
0
0
24
24
16
2
2
6
0
0
0
0
16
16
16
16
16
16
16
32
16
16
0
16
16
16
16
4
4
4
4
0
0
16
8
24
8
24
0
4
8
4
16
4
16
8
0
4
4
8
8
8
16
8
8
0
4
4
4
16
0
0
0
1
0
0
9
16
16
8
8
8
32
32
4
1
1
16
4
0
8
8
2
2
2
32
0
24
0
16
16
16
16
16
4
4
4
4
18
2
2
0
0
0
0
2
2
8
8
8
0
0
0
12
0
0
2
2
2
13
0
0
0
2
16
16
16
16
16
16
32
0
16
24
1
0
24
9
8
1
0
0
0
0
8
8
0
0
0
0
0
0
0
0
8
8
1
16
4
4
4
16
16
13
8
8
0
16
16
16
0
13
0
0
0
0
4
4
20
20
0
0
0
8
0
0
0
16
16
8
16
16
16
16
41
0
0
0
0
0
8
8
8
8
0
20
8
8
8
8
12
8
16
16
16
8
8
8
0
32
34
0
0
0
0
0
0
0
4
8
16
16
40
4
16
1
8
25
25
0
0
0
16
16
8
8
32
16
0
0
5
16
16
16
8
16
16
48
48
2
10
10
2
2
8
16
16
8
16
0
0
0
8
16
16
4
4
4
4
16
20
2
16
8
8
16
2
2
2
4
8
8
16
20
8
5
13
29
13
13
13
13
19
20
12
0
16
16
16
2
2
0
0
0
0
0
0
1
8
8
8
24
24
24
16
16
16
16
0
1
2
8
8
8
8
16
16
16
16
8
4
16
0
33
0
2
2
16
16
8
8
8
4
0
1
1
4
16
0
0
0
16
8
8
0
8
24
0
16
0
20
4
4
4
32
16
16
2
2
8
0
2
9
8
13
4
8
8
24
24
16
4
12
12
8
0
5
5
5
5
5
5
8
16
16
0
18
8
4
0
1
0
0
2
2
2
1
1
4
16
16
16
16
16
16
16
16
28
60
53
1
28
20
20
20
0
0
0
0
2
2
0
0
0
0
8
8
8
16
0
0
0
0
16
8
16
48
16
16
8
2
2
2
0
17
17
17
4
8
8
0
0
0
1
0
0
1
1
20
1
0
0
21
5
5
4
0
0
8
16
16
16
16
12
8
16
0
0
0
0
8
8
8
8
8
8
8
8
8
20
20
0
0
9
9
9
9
0
0
20
20
0
5
5
16
8
12
17
24
24
24
24
24
36
4
4
4
37
37
0
0
0
2
2
8
8
8
26
0
0
0
0
8
0
0
0
1
1
8
12
16
8
0
1
4
8
8
2
2
2
0
32
8
8
12
0
0
8
8
8
0
0
0
0
0
16
16
16
17
0
0
0
24
19
0
2
2
2
2
2
0
0
16
16
16
16
8
0
4
4
8
8
8
0
0
1
1
1
1
1
1
26
16
16
0
1
0
16
16
24
24
24
16
16
16
0
0
0
4
0
8
40
32
32
8
8
0
0
0
1
1
0
8
1
1
8
8
8
8
4
4
0
0
0
8
8
16
16
0
16
2
2
2
0
0
16
12
12
2
8
0
8
8
8
8
8
8
16
16
8
8
8
16
8
0
0
0
0
8
8
8
8
7
7
8
8
8
48
24
24
0
0
0
24
24
24
8
16
24
4
8
0
8
0
0
0
0
16
16
16
16
8
16
16
8
8
1
32
32
0
0
0
0
0
0
0
0
8
8
8
24
24
24
24
24
24
24
24
4
8
8
8
8
8
8
0
8
0
16
24
8
1
8
24
24
42
24
0
0
8
0
0
0
16
8
1
0
4
2
16
4
4
0
0
4
4
0
16
16
16
16
0
0
0
8
8
8
8
8
8
48
0
0
0
0
16
16
16
12
8
8
16
2
8
0
8
8
8
0
16
16
16
16
8
8
8
8
8
0
1
3
8
8
1
0
0
0
0
16
8
16
16
21
21
21
21
21
0
8
8
8
0
8
8
8
8
8
8
16
16
16
16
0
8
8
8
0
16
16
16
16
9
8
0
8
0
0
8
3
3
3
0
24
0
18
18
16
4
4
8
24
8
8
8
8
8
8
4
8
8
8
8
8
16
33
48
16
16
0
8
8
16
16
8
8
8
8
4
4
2
4
4
4
2
2
0
16
16
16
16
16
4
9
8
9
8
6
5
5
8
8
8
8
8
8
8
4
0
4
0
0
12
12
12
8
0
0
0
0
4
4
4
8
0
8
8
8
8
16
8
8
8
8
8
16
16
8
8
8
8
8
8
8
57
4
4
8
8
8
8
9
9
9
9
32
0
1
1
1
1
1
8
8
1
1
1
0
0
8
1
7
7
1
0
16
4
0
48
5
5
5
1
1
0
16
0
8
4
4
4
4
6
6
16
16
8
1
1
8
8
8
18
18
16
16
16
8
8
1
16
16
16
16
0
16
16
16
16
16
0
8
8
8
8
8
8
8
4
4
2
4
40
40
17
17
56
4
4
8
8
11
16
8
1
0
0
0
16
16
16
16
16
16
8
8
8
8
8
0
0
0
4
20
20
20
8
16
16
16
16
16
16
16
16
16
16
16
16
9
8
0
0
0
0
0
16
16
16
16
16
8
16
16
8
16
16
0
0
16
16
16
16
8
8
0
0
16
16
16
16
8
8
8
8
8
4
4
16
16
8
8
8
0
0
0
0
4
4
2
4
4
2
2
2
2
16
4
0
0
0
0
16
16
8
6
10
40
8
8
4
8
8
8
8
0
0
0
0
0
4
4
4
8
1
1
1
8
8
8
8
13
13
1
16
8
24
57
1
8
8
8
8
8
0
4
2
0
16
16
16
16
32
16
40
24
16
16
16
8
8
0
0
2
16
16
16
16
16
16
16
16
16
16
16
16
16
24
24
16
16
16
16
16
16
0
0
0
0
17
17
17
0
0
0
32
16
20
0
8
0
0
0
0
4
19
56
8
12
28
28
16
17
16
8
8
0
0
8
0
1
1
8
8
8
16
16
16
0
1
1
1
1
16
16
8
8
24
32
32
8
8
8
8
8
1
1
16
16
16
0
0
0
0
0
0
0
8
8
8
16
16
16
7
8
32
32
9
20
0
16
16
16
16
16
16
16
24
2
2
2
24
20
16
8
16
16
8
8
24
28
16
16
16
16
16
16
0
17
1
4
4
16
16
16
16
16
16
8
8
8
8
0
0
20
0
8
4
8
8
8
8
8
8
0
0
16
16
0
0
0
0
0
8
8
8
0
16
16
16
20
20
20
20
20
0
1
16
16
16
16
16
16
0
0
4
30
30
8
8
0
4
4
0
8
8
8
8
8
8
8
8
8
8
12
8
16
16
6
1
1
1
16
16
16
0
0
4
1
16
16
16
16
24
16
0
8
0
4
8
8
8
16
16
16
16
2
32
32
32
0
0
0
1
8
8
20
4
6
4
0
0
4
0
1
1
1
0
16
2
8
8
16
0
0
0
4
16
0
0
0
0
19
17
16
16
16
16
0
0
8
0
0
16
16
0
32
32
16
20
0
0
0
0
0
8
8
8
0
0
4
4
8
8
12
0
0
8
0
16
20
4
4
2
8
16
0
0
0
0
0
0
0
0
4
4
8
24
8
8
8
8
8
8
8
1
32
8
40
10
27
27
8
8
8
8
4
4
4
20
20
0
16
16
16
16
0
8
10
0
0
2
16
0
8
0
0
20
20
20
4
2
2
0
2
2
2
8
0
0
0
16
16
48
48
48
8
8
8
8
8
17
17
1
0
4
4
4
0
16
16
0
0
0
0
16
16
8
8
8
8
12
8
12
4
16
16
0
0
0
0
0
8
8
16
8
4
4
8
8
8
8
8
8
1
1
1
8
8
8
8
8
0
0
0
8
24
8
44
16
16
8
24
1
22
20
22
8
8
8
8
8
8
8
0
16
16
16
0
5
0
16
8
8
0
0
0
4
0
0
0
60
60
56
4
60
16
16
0
8
0
0
0
8
1
1
1
2
4
4
8
8
8
8
8
8
8
0
8
0
0
0
2
2
2
2
2
8
8
1
1
1
1
8
8
8
8
8
0
0
1
0
8
0
32
32
16
1
32
49
8
0
0
24
0
0
16
16
16
16
52
8
8
4
4
16
0
0
16
24
8
8
0
0
8
13
8
4
1
17
17
17
16
0
8
8
8
8
4
8
24
24
8
0
0
0
0
8
8
8
8
1
1
8
8
8
1
0
8
8
0
4
16
0
16
16
8
0
8
9
1
0
8
8
8
9
8
8
4
0
0
16
16
8
0
32
18
0
0
0
8
0
9
0
0
0
0
0
0
16
16
0
16
8
8
8
8
8
8
16
16
16
16
8
8
8
16
16
2
16
28
12
4
4
4
4
8
12
8
16
16
8
16
16
0
1
16
2
2
0
0
16
16
4
42
42
42
0
0
0
0
1
1
0
0
0
0
0
0
8
1
25
8
8
8
8
8
0
0
16
16
8
8
4
0
16
16
32
0
40
40
40
1
8
0
16
0
16
16
0
0
0
12
0
0
2
32
32
8
8
0
0
16
28
32
32
9
1
1
2
2
2
8
8
8
8
8
16
17
17
8
8
0
0
0
28
16
8
0
0
0
8
8
16
8
8
8
1
1
16
16
0
8
0
16
16
0
8
8
8
8
8
8
1
1
1
8
0
2
2
2
0
0
0
0
12
12
8
8
5
0
0
8
8
16
53
37
12
4
0
12
12
8
12
28
12
12
0
4
4
4
16
16
1
17
16
16
16
16
6
4
4
6
0
0
8
8
0
8
8
8
8
8
0
28
28
28
28
28
28
16
16
16
16
16
4
4
4
4
8
8
0
0
8
23
17
1
16
1
1
1
8
8
8
28
8
8
8
8
24
24
0
0
0
0
8
8
2
2
16
4
0
0
0
0
0
20
32
2
2
48
32
2
32
8
8
0
0
0
16
16
16
0
0
0
4
4
16
16
48
16
16
0
1
4
8
2
16
16
6
16
16
16
8
8
8
4
4
4
8
8
8
8
8
0
16
16
16
0
0
0
8
8
8
16
16
16
0
0
4
8
8
16
8
0
0
0
0
0
0
32
24
24
24
0
0
0
0
8
8
8
8
8
16
16
16
16
16
16
8
24
0
0
8
8
8
16
0
10
8
8
1
16
16
16
8
8
8
8
8
8
0
0
32
32
32
0
8
8
8
32
32
32
4
0
16
16
16
4
20
9
8
8
8
16
16
8
8
8
8
8
8
8
8
8
8
0
0
8
16
16
16
16
16
8
16
16
1
2
2
0
32
8
8
8
8
8
0
0
8
12
12
4
4
24
24
16
16
16
4
8
8
8
8
0
0
0
0
0
8
16
16
2
0
4
0
0
0
0
8
8
32
16
16
16
16
16
8
8
8
8
16
0
16
16
16
0
0
0
0
16
16
16
16
16
4
20
8
9
0
0
0
8
8
0
0
0
0
1
1
16
16
16
16
8
16
16
32
32
2
8
8
8
16
24
16
13
13
0
2
2
2
8
8
8
8
0
4
32
32
32
0
4
4
16
16
16
0
16
57
57
16
0
0
0
0
8
0
0
8
16
0
8
4
5
8
8
8
8
8
8
4
5
4
4
8
8
16
16
17
32
8
8
8
8
8
4
4
25
2
8
1
1
1
8
28
2
2
18
2
8
8
8
8
1
8
8
8
8
8
1
16
12
0
0
8
0
0
8
8
8
8
16
4
4
4
16
0
0
33
0
1
1
8
1
0
0
8
8
0
0
48
48
32
0
0
0
38
38
4
0
0
0
0
16
16
26
26
0
0
0
24
24
16
16
25
8
25
16
16
16
4
4
0
16
16
8
15
16
16
2
0
8
8
8
2
4
12
1
1
1
16
0
0
0
8
16
0
17
17
16
0
24
0
4
4
16
16
29
14
14
1
1
8
0
8
24
24
4
5
4
4
4
4
4
0
0
0
16
16
16
16
16
0
8
2
2
0
0
1
16
17
32
4
4
0
0
8
8
17
17
17
17
1
4
4
4
4
4
4
4
8
8
8
8
8
0
8
8
8
8
8
0
8
8
8
8
8
8
8
16
0
0
4
4
4
4
4
4
4
16
8
1
1
20
8
18
0
8
8
16
16
0
0
8
8
8
8
2
32
32
0
9
9
1
22
4
4
4
4
4
4
33
33
24
24
24
1
16
16
16
16
16
4
4
4
4
4
8
8
8
0
0
0
0
0
24
8
8
16
2
2
8
1
1
1
1
1
1
1
4
4
8
8
24
24
8
8
8
8
8
6
2
2
4
16
0
0
16
8
4
4
4
16
18
18
16
8
2
16
8
8
8
8
8
0
16
4
2
8
16
16
1
0
0
32
32
16
32
32
40
32
32
0
0
1
1
8
8
8
8
0
16
16
0
8
8
4
4
4
1
0
0
0
0
8
8
8
8
8
8
8
0
24
24
25
25
25
24
8
8
0
0
4
4
2
0
6
36
36
0
0
0
8
8
8
8
8
0
24
16
8
0
0
0
0
0
16
16
16
0
4
4
0
1
8
8
8
20
0
0
0
0
0
6
6
16
8
8
4
8
38
22
22
2
1
1
1
1
1
1
0
13
13
0
0
16
16
12
0
8
8
8
8
8
16
16
12
8
8
8
8
8
8
8
8
8
16
0
0
16
16
24
24
24
16
16
16
4
16
16
24
10
8
8
8
4
4
16
32
16
0
1
1
8
16
16
8
1
8
9
8
44
44
44
8
1
8
8
0
0
34
0
4
0
0
0
0
32
56
16
0
8
2
2
10
2
8
16
24
24
24
1
8
32
0
4
4
0
0
2
0
0
0
8
8
28
4
4
24
8
8
8
16
20
20
0
8
8
8
2
1
1
1
0
0
4
4
2
2
2
56
0
1
1
0
8
16
16
16
16
16
0
0
0
0
0
0
24
24
0
0
0
0
8
0
0
0
8
8
8
16
16
16
32
12
12
12
2
16
2
8
4
8
8
0
4
8
8
8
8
0
48
0
0
0
4
0
8
4
8
1
1
0
0
16
0
0
0
8
8
8
8
4
4
10
2
2
16
2
2
2
20
8
8
8
16
16
8
8
8
8
8
8
16
16
0
16
16
0
0
0
8
8
8
8
8
8
8
0
0
0
4
4
4
0
0
16
8
5
8
0
0
0
0
0
24
16
16
24
57
8
8
16
16
16
16
16
8
8
4
8
8
8
8
8
8
8
24
8
16
12
4
0
4
0
8
16
4
4
26
16
16
40
40
40
24
8
0
20
4
16
16
1
1
4
4
24
2
0
0
0
0
0
0
0
0
1
32
32
32
17
16
16
16
16
16
8
4
1
16
16
24
8
8
8
8
8
8
8
9
4
8
8
8
8
8
24
16
0
0
0
0
24
24
8
16
16
16
0
8
8
8
0
2
2
2
2
8
16
0
14
14
0
0
0
0
0
4
4
4
4
4
4
16
16
16
16
16
16
24
24
16
8
8
8
8
0
0
0
0
9
8
8
9
9
16
0
10
0
0
0
0
8
8
8
0
8
1
8
8
25
25
8
16
16
16
8
32
1
1
17
0
0
1
1
4
4
0
1
0
0
0
0
1
1
0
8
8
8
8
0
17
0
8
8
0
0
8
0
24
8
0
0
4
0
0
8
8
8
0
8
4
16
18
18
19
18
0
0
18
18
8
8
16
0
0
24
8
8
0
0
0
16
9
2
24
16
16
16
16
0
0
8
2
1
1
1
0
4
4
23
23
8
16
8
8
8
9
9
4
16
16
16
16
1
0
0
0
0
0
16
2
2
16
16
16
16
16
16
16
8
8
21
2
2
4
1
0
2
16
0
20
8
16
16
16
16
0
0
16
16
16
16
10
2
2
8
1
8
1
1
7
2
1
8
0
0
0
0
0
16
16
16
4
4
8
8
8
8
8
8
0
0
0
8
1
0
16
0
0
52
52
0
1
9
8
8
8
8
8
1
1
1
16
32
32
32
8
8
4
48
48
8
8
0
0
0
0
0
0
1
8
16
0
0
0
8
16
16
16
25
16
16
0
0
4
0
16
16
2
2
8
8
8
0
32
0
8
0
8
8
8
8
8
8
1
0
18
18
18
18
0
0
0
0
1
17
0
0
4
4
49
49
49
8
2
2
2
2
2
2
0
2
0
0
0
32
32
8
0
1
1
0
0
8
1
4
4
1
1
8
10
0
1
0
1
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
8
8
8
0
9
16
24
0
8
8
8
8
3
0
0
18
0
2
2
16
16
16
16
0
0
0
0
16
16
0
0
2
16
16
16
0
8
8
0
0
8
8
8
16
8
8
8
8
16
16
24
24
8
8
8
16
8
24
0
0
0
8
16
20
20
16
16
16
6
8
32
4
4
16
16
32
32
0
8
8
8
0
32
16
16
16
16
16
1
1
0
0
0
0
16
0
4
4
4
4
0
0
0
16
16
0
0
8
8
8
8
4
4
16
16
0
4
8
8
0
8
1
6
6
8
8
8
0
8
8
24
24
4
8
8
0
0
8
0
0
0
0
16
48
16
16
16
1
1
1
8
1
0
8
8
1
9
0
0
8
0
1
8
0
10
0
8
0
1
1
1
0
24
24
24
8
8
8
18
8
8
8
1
1
16
0
0
0
8
8
8
16
16
0
0
0
0
0
8
8
8
8
8
8
4
4
4
4
8
8
8
8
8
8
0
8
8
0
0
0
0
0
8
0
2
4
28
8
1
1
8
8
8
8
0
0
0
0
8
8
8
8
0
8
8
8
25
4
24
2
2
8
4
1
16
16
11
11
8
0
16
16
20
16
16
16
16
1
1
16
16
8
0
0
8
24
8
8
20
20
8
8
8
8
21
21
21
21
4
4
8
8
8
2
2
8
8
8
8
8
8
8
1
8
8
8
6
0
0
32
32
4
8
8
25
25
29
0
32
8
8
8
6
6
1
1
0
24
8
4
4
0
0
16
16
16
16
0
0
32
32
32
24
24
24
8
1
1
0
18
2
2
16
8
0
9
9
8
4
4
4
4
20
1
0
1
8
14
4
4
4
3
3
1
32
32
0
0
6
6
6
24
24
8
16
16
0
4
4
4
4
8
8
8
8
32
0
0
0
0
1
16
16
1
1
4
4
0
0
0
8
16
16
16
8
8
8
24
8
8
8
8
8
8
8
8
8
8
8
8
0
14
6
6
6
16
16
16
16
16
16
8
40
8
4
4
0
0
8
8
0
0
0
8
0
8
5
5
5
4
0
16
16
10
10
8
0
0
0
0
0
16
24
8
2
2
2
2
9
32
32
11
8
0
0
16
8
8
8
8
8
10
0
16
4
1
5
0
8
8
4
4
4
8
16
8
8
8
0
16
32
32
32
32
8
8
0
8
8
8
16
2
2
16
16
8
8
0
0
16
50
16
16
21
0
1
1
1
1
1
1
16
4
24
24
24
24
24
8
8
8
52
52
52
0
4
0
8
0
0
0
49
49
8
8
4
0
0
0
0
8
16
1
1
4
8
8
8
8
16
0
4
16
0
0
0
16
16
42
4
0
16
24
8
8
8
16
0
8
0
8
8
8
8
8
8
8
8
0
32
16
32
32
4
16
16
16
0
4
4
24
8
0
2
2
2
2
8
16
4
8
8
0
4
4
0
0
0
0
0
0
0
12
4
8
8
9
9
9
9
9
16
16
0
16
0
0
0
0
0
12
8
0
0
2
0
8
2
0
0
0
0
16
16
16
50
0
0
0
0
22
16
16
0
16
16
16
0
0
0
4
6
4
8
8
0
0
8
8
8
8
8
24
24
8
15
2
2
2
2
8
0
0
0
0
2
2
2
9
8
8
2
24
0
0
4
8
8
4
0
12
0
0
4
4
0
8
16
59
16
16
32
32
32
40
32
32
4
8
8
8
0
0
0
0
0
0
0
0
0
0
0
2
2
8
8
8
8
4
8
0
8
8
8
8
16
16
16
48
16
16
16
4
8
8
24
0
0
1
1
1
0
0
0
1
4
8
8
8
2
8
8
8
0
0
3
3
3
3
34
0
17
17
0
8
8
8
32
32
8
0
8
8
4
4
4
4
0
16
16
24
8
8
0
40
8
16
4
0
8
8
0
0
0
0
2
2
2
6
2
0
0
0
4
10
2
4
8
4
4
4
4
4
4
0
0
2
2
16
16
8
4
4
0
0
16
32
32
0
8
8
8
8
8
0
0
8
13
8
8
8
24
16
0
8
8
16
16
16
8
8
8
0
0
0
16
2
8
8
8
0
0
16
28
16
16
16
16
16
16
0
0
0
0
0
0
4
4
4
4
4
2
0
0
8
8
24
0
0
0
0
8
0
16
16
16
16
16
0
2
34
16
32
32
32
32
20
20
20
16
4
20
0
3
2
16
16
16
16
16
16
0
0
0
0
0
0
8
8
16
16
0
0
22
22
22
22
0
8
24
0
0
18
0
0
0
16
16
16
0
0
1
1
1
1
16
16
16
16
4
0
0
0
8
8
4
4
4
4
0
4
4
16
16
16
9
0
0
0
0
0
8
8
8
8
8
2
2
4
16
0
0
0
0
4
16
16
24
3
2
2
16
0
0
8
8
8
0
0
3
3
2
2
2
2
8
0
0
2
2
2
2
2
17
0
0
0
0
16
8
0
8
8
0
20
20
41
8
17
17
17
0
56
8
8
1
1
1
0
32
1
1
16
0
8
1
11
57
16
8
8
8
1
4
1
0
1
16
16
8
9
9
8
0
0
24
16
16
0
0
0
2
8
8
8
8
24
4
0
0
0
16
16
0
16
16
16
16
16
16
16
0
0
0
16
16
16
16
0
10
0
2
2
2
2
2
2
4
8
8
0
0
4
0
4
4
8
8
8
0
8
0
32
8
9
1
6
0
0
8
24
16
8
8
8
8
2
16
16
16
8
8
0
4
4
4
4
4
8
16
24
3
0
0
8
2
2
8
8
8
32
4
40
16
16
4
0
8
8
4
4
4
8
8
4
4
4
1
1
8
8
0
1
1
1
16
8
0
0
0
25
25
8
32
32
0
0
0
0
8
5
0
0
8
8
8
0
16
0
8
0
0
8
8
8
0
4
4
8
8
8
8
0
0
0
8
8
8
0
0
24
24
16
0
0
16
16
17
8
8
8
0
0
0
8
8
8
16
16
0
0
18
18
18
18
18
0
0
0
0
0
0
16
16
2
8
43
43
43
43
0
3
0
1
7
1
1
8
8
8
0
2
0
0
4
4
4
4
0
0
0
0
0
0
8
8
8
12
1
9
9
16
8
16
16
16
16
16
4
4
8
8
8
32
32
16
8
8
0
0
16
16
16
16
2
0
2
16
16
16
16
8
0
16
8
56
8
8
4
4
4
4
4
8
2
2
2
2
2
8
4
8
8
0
16
16
0
8
16
1
8
8
8
8
16
1
9
8
8
4
4
4
1
16
0
0
0
8
8
0
0
8
32
8
0
0
4
4
8
0
0
0
8
8
0
0
0
8
0
24
24
24
8
17
17
0
16
16
1
1
1
19
19
8
8
8
3
2
2
4
4
16
0
0
0
20
20
8
8
8
8
8
8
8
8
8
0
0
0
8
16
8
8
4
0
4
0
16
16
16
16
16
0
1
1
0
0
0
0
0
0
0
24
1
1
1
0
6
6
6
2
2
5
8
8
16
16
1
8
8
8
6
16
16
16
16
16
8
0
8
8
16
0
8
8
0
8
0
8
8
8
16
16
16
16
16
16
16
1
16
16
16
16
16
0
6
6
6
4
8
8
16
16
16
2
4
24
24
24
8
8
8
8
16
16
0
8
8
8
0
1
24
8
8
8
8
8
8
8
8
8
16
16
16
1
17
4
8
9
16
4
4
8
9
1
1
1
16
16
16
16
16
16
16
16
8
0
0
0
8
8
0
0
0
0
4
8
8
1
3
1
1
1
1
1
1
1
8
1
9
0
0
0
16
16
16
16
16
16
0
0
0
16
16
8
0
0
8
8
8
8
8
4
20
4
5
0
1
1
1
20
20
20
4
0
16
8
8
8
8
8
16
0
0
16
0
8
8
8
8
0
8
16
20
0
0
32
32
0
0
4
0
16
8
0
0
0
0
8
0
8
4
0
18
0
0
26
26
0
4
4
4
4
2
0
4
8
8
32
0
0
0
8
8
8
8
8
8
16
16
8
8
0
16
16
0
0
0
8
8
8
8
8
8
0
8
0
0
0
16
0
16
16
16
16
16
27
27
27
17
16
0
1
1
1
1
8
16
16
22
22
2
16
16
0
16
16
0
4
8
8
34
0
1
16
8
0
16
16
16
8
8
8
8
0
0
0
0
8
0
0
0
0
24
9
4
13
8
8
8
8
8
8
2
2
2
2
32
20
20
0
0
16
4
4
0
16
16
0
0
16
16
16
24
1
8
0
0
16
43
11
0
0
24
20
20
20
20
8
0
0
0
0
8
2
3
2
8
9
1
1
8
8
8
8
16
16
16
16
8
1
1
1
4
16
16
16
0
0
1
1
0
2
4
8
0
24
24
8
8
16
8
8
16
0
8
16
16
0
0
1
1
8
0
8
0
0
0
0
0
6
16
0
0
0
16
0
0
8
0
8
0
37
4
4
4
8
8
8
0
0
0
8
40
0
8
16
16
8
8
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
8
8
16
16
16
16
8
8
8
0
20
20
0
0
0
0
0
0
4
5
8
0
16
16
16
1
1
2
1
1
2
2
56
0
0
0
0
0
8
8
8
0
2
16
16
16
0
0
0
8
8
8
8
8
0
18
2
0
0
0
8
8
8
0
2
0
0
0
8
8
8
8
0
0
8
8
8
8
24
16
4
4
32
0
0
20
20
40
0
0
4
0
0
0
0
0
8
8
8
24
24
24
24
8
8
16
0
8
0
0
8
8
8
8
8
0
0
0
0
0
0
0
8
0
2
8
0
0
16
16
24
24
8
8
8
8
4
4
4
4
0
24
24
16
16
16
1
2
0
0
2
2
0
0
4
20
2
8
16
16
0
0
0
0
0
16
16
16
8
8
8
8
8
8
8
8
8
8
0
16
8
8
8
0
0
8
8
8
8
0
4
4
0
8
8
8
8
8
8
16
16
8
8
0
1
8
8
8
16
16
8
16
4
4
4
16
4
4
12
8
8
0
0
0
8
8
8
0
2
8
8
4
2
8
24
24
24
0
0
8
8
8
8
8
8
8
2
2
8
8
8
16
16
16
2
1
1
0
24
24
0
16
8
8
8
4
5
0
8
8
8
24
0
2
2
2
10
40
8
8
8
1
28
0
4
0
0
16
16
1
25
1
8
8
4
4
0
4
8
8
8
8
8
8
8
0
8
8
0
0
8
0
0
8
8
8
8
0
8
0
0
16
8
4
8
8
4
4
4
4
4
4
4
0
0
0
8
0
8
8
8
10
10
10
0
0
8
16
16
1
1
1
16
16
0
4
26
0
0
0
0
0
0
1
1
1
0
0
8
0
0
0
0
0
0
0
0
0
0
0
3
8
0
24
24
24
4
4
12
1
8
0
16
16
0
8
8
8
8
8
8
16
0
8
8
0
0
0
8
0
0
12
12
10
8
8
8
8
8
8
8
8
0
16
8
8
24
8
8
8
0
0
0
0
8
8
8
8
0
16
16
10
32
32
0
4
16
0
0
1
1
16
16
4
4
0
0
8
0
0
16
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
0
8
8
8
8
8
8
8
8
18
4
16
8
8
8
8
0
0
8
8
8
0
0
0
0
1
16
1
1
1
16
57
24
8
8
1
0
32
32
57
4
4
0
0
4
2
2
0
0
0
18
16
1
17
0
0
2
32
0
20
0
8
8
8
24
8
8
8
16
0
0
20
4
4
5
5
5
20
20
8
8
40
40
40
4
4
24
12
0
8
16
0
16
16
16
16
16
16
16
0
0
0
0
8
8
0
35
35
35
0
4
0
8
8
8
8
0
0
2
0
0
0
0
2
2
2
8
8
8
48
6
6
6
0
8
8
0
8
8
16
20
0
8
8
8
0
56
8
0
0
0
17
8
8
16
16
16
2
8
61
8
0
16
16
0
16
16
16
16
16
16
0
4
0
0
8
16
16
16
0
2
2
0
16
0
0
1
8
4
8
9
8
8
8
0
0
0
16
16
8
8
8
8
8
8
0
2
2
2
2
1
1
0
16
24
22
8
8
8
8
17
16
16
16
16
2
0
32
8
8
8
8
8
8
8
16
18
8
1
8
16
8
0
16
16
16
16
0
16
2
2
2
24
0
8
8
4
8
0
0
8
8
8
0
0
0
4
16
0
8
8
53
8
8
8
8
4
8
8
8
8
8
8
8
8
24
0
0
0
0
0
0
0
0
8
1
16
1
17
1
0
0
8
8
8
8
8
8
0
0
8
20
16
0
57
37
8
8
8
0
0
0
1
1
8
8
24
24
16
16
16
0
0
4
4
16
8
8
8
8
8
8
0
0
32
8
16
8
0
0
2
2
2
8
0
0
8
8
8
0
2
9
16
16
4
8
0
0
16
16
27
27
27
8
8
8
0
8
8
8
8
8
8
0
0
0
24
24
24
24
0
0
0
4
4
4
16
16
16
16
0
16
16
16
16
16
4
2
8
8
8
8
8
0
0
0
0
0
0
24
0
8
1
1
1
16
0
9
16
16
0
0
0
4
4
4
4
16
16
0
0
0
8
8
8
8
22
0
20
0
8
8
8
0
1
1
1
8
8
12
0
4
4
4
4
2
32
32
0
8
4
0
0
0
8
0
0
16
8
16
16
1
9
32
4
4
16
0
8
8
8
8
0
16
20
20
20
20
8
8
8
0
8
8
8
4
8
8
18
18
18
0
0
0
0
8
0
0
0
0
8
8
8
8
8
8
0
0
0
16
16
16
16
22
16
24
24
0
8
8
22
2
0
4
8
8
8
8
0
8
0
0
36
2
0
0
0
0
0
8
8
1
8
0
4
4
16
8
0
8
0
2
8
2
2
2
4
0
8
8
8
0
0
0
16
20
16
24
24
8
8
8
8
9
0
8
8
2
2
0
0
0
8
4
8
8
8
8
0
0
1
8
8
8
8
8
8
8
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
8
8
8
16
8
8
8
8
8
8
0
0
0
8
0
4
4
6
16
16
16
16
2
0
6
4
4
0
0
18
18
0
0
1
8
0
40
40
1
4
1
1
1
8
8
16
16
16
8
16
0
8
8
2
0
0
0
32
0
32
32
32
32
0
0
8
8
8
3
0
0
1
1
8
1
0
0
0
0
8
8
8
8
8
0
0
0
0
16
8
1
0
0
16
16
0
0
0
16
16
8
24
24
24
24
1
1
1
6
22
0
0
8
0
0
28
28
28
0
0
0
0
16
0
4
0
0
8
0
0
16
16
2
1
1
32
32
0
20
0
8
4
4
8
8
0
0
4
16
2
8
0
0
32
32
24
24
0
0
0
16
40
32
0
8
0
4
4
0
8
0
4
4
8
16
0
0
0
0
16
16
1
17
1
17
17
6
6
6
6
8
8
8
0
0
0
0
0
26
26
26
4
4
17
17
1
1
0
0
0
8
8
8
8
0
0
0
0
0
0
8
0
0
0
22
32
0
0
0
0
32
16
2
2
0
2
0
0
8
8
8
8
8
58
4
1
4
1
9
9
8
8
16
16
8
8
8
16
8
8
8
8
8
26
1
1
0
12
16
16
16
1
1
2
1
1
0
8
24
24
16
8
8
8
8
8
12
2
2
8
4
4
4
0
16
16
16
0
16
16
16
0
0
16
26
0
8
8
8
8
8
8
8
8
8
8
0
0
24
16
16
0
32
0
0
16
16
16
0
60
16
2
8
10
24
0
0
0
4
4
4
0
0
16
16
16
16
16
0
4
8
16
0
16
26
8
8
8
0
8
8
1
1
16
16
16
16
16
16
0
8
8
4
4
0
4
4
0
8
8
8
8
8
0
8
8
8
8
8
8
0
0
8
0
16
16
16
16
16
16
24
2
0
2
0
0
12
8
20
1
0
16
16
0
0
8
4
12
12
16
16
8
8
16
0
0
8
8
0
0
8
8
8
32
40
0
0
4
4
0
0
0
18
18
12
12
0
8
0
2
2
0
0
0
4
0
4
56
8
8
16
0
0
0
0
16
20
16
16
8
0
16
0
16
16
16
16
16
8
16
8
33
8
20
16
16
8
8
8
8
8
0
0
0
16
16
16
8
8
0
1
16
16
16
60
48
0
8
8
8
17
4
4
0
0
16
2
0
0
8
8
6
6
6
6
2
12
12
12
2
8
8
4
8
8
4
4
8
4
0
2
1
1
16
16
0
8
8
8
8
0
0
2
8
8
8
0
0
0
0
0
4
0
0
0
16
16
16
16
16
32
3
8
8
8
8
8
4
8
8
4
0
0
0
0
0
8
0
8
0
0
0
8
8
16
28
1
8
8
36
24
8
8
8
8
24
24
0
0
0
0
0
0
0
16
2
16
2
2
2
2
2
0
16
0
1
1
1
8
0
0
4
4
4
0
0
8
16
16
16
0
8
4
16
16
16
8
0
16
0
0
0
0
6
2
0
0
8
8
16
1
1
0
0
0
2
2
2
0
1
1
0
8
8
16
16
16
16
16
9
4
0
16
0
8
8
16
0
4
4
48
2
2
4
4
4
16
16
16
16
16
16
24
0
0
8
8
8
21
0
24
0
0
16
16
0
8
8
24
0
24
24
4
0
8
24
2
4
4
16
16
0
2
16
0
8
0
0
0
0
0
0
40
40
40
40
40
8
8
8
8
8
8
32
10
10
10
1
0
0
2
2
1
8
8
8
0
0
4
4
4
8
0
0
0
0
0
0
0
0
4
16
8
8
8
8
16
16
16
0
0
8
8
8
24
24
24
24
0
0
0
0
0
16
16
8
1
1
0
0
0
0
16
0
0
0
8
0
0
8
8
8
8
8
8
9
9
9
8
8
1
1
0
0
16
0
0
4
20
8
8
8
0
0
24
16
32
48
32
0
0
12
12
0
0
2
0
16
16
8
8
16
16
18
16
2
8
8
16
16
0
8
4
0
4
4
4
4
4
16
8
8
8
0
0
0
0
16
0
2
8
8
1
1
8
16
0
0
0
0
0
16
16
0
0
0
8
8
8
40
0
24
26
8
1
1
4
0
8
8
8
8
8
14
4
4
4
0
16
16
16
5
1
1
4
0
0
8
8
20
20
8
8
8
24
8
8
4
0
8
8
0
0
34
38
8
8
8
8
8
0
9
9
0
0
8
0
0
0
0
0
4
8
8
8
4
10
0
0
0
24
17
8
8
4
8
12
0
0
0
1
2
8
8
4
0
16
8
12
16
16
8
0
0
0
8
0
0
0
0
0
0
0
0
0
8
1
1
16
16
16
21
16
16
0
0
0
0
2
2
2
8
8
8
8
9
9
0
8
8
8
28
27
27
0
56
56
56
14
8
8
8
8
8
8
8
24
8
8
8
8
8
8
8
8
0
8
8
20
16
16
16
16
8
0
0
40
40
40
0
8
8
8
2
16
16
16
0
8
8
8
8
4
4
0
4
4
4
2
2
24
8
0
16
16
16
8
0
4
2
2
2
0
8
8
16
16
0
0
8
16
0
21
20
8
16
0
0
49
4
0
0
25
0
0
0
8
8
12
4
16
16
16
16
24
4
4
16
8
8
8
8
8
8
4
4
8
8
0
0
2
8
0
0
1
1
1
8
16
0
0
24
24
8
0
0
1
8
0
0
16
0
4
4
4
8
8
8
8
8
8
8
8
24
8
8
8
8
8
0
57
0
16
16
0
0
0
0
0
0
4
0
0
8
0
0
0
0
0
8
8
8
8
0
4
4
4
4
0
0
48
0
0
16
36
32
32
32
58
16
8
8
8
8
8
0
16
17
0
0
0
0
0
0
0
0
0
0
0
0
8
8
1
1
0
0
0
8
0
0
20
20
20
16
16
24
24
24
16
16
4
8
8
8
8
0
2
8
8
0
8
8
8
8
0
0
8
16
0
16
16
8
4
0
0
8
16
8
8
4
8
8
8
16
16
0
0
0
0
26
26
26
16
16
0
0
8
8
8
0
0
8
8
8
13
0
2
8
0
0
8
0
0
32
32
0
8
2
2
0
0
8
8
8
0
8
8
8
0
16
50
2
8
8
11
11
11
8
16
0
8
8
0
0
4
16
0
20
20
20
20
20
0
2
20
16
0
8
8
0
0
16
0
0
0
1
20
16
0
12
12
12
4
4
8
8
8
8
8
8
0
0
4
4
24
8
8
8
8
8
8
0
2
2
2
0
1
1
8
8
8
8
8
8
8
1
57
57
57
2
8
0
0
8
8
8
0
0
8
0
8
4
4
4
26
26
0
0
8
8
0
0
2
2
2
2
8
8
16
8
2
0
4
8
0
0
0
0
0
8
8
0
2
2
2
0
17
2
2
8
2
16
32
4
52
0
8
8
8
8
8
0
17
0
6
6
16
16
0
16
0
16
8
8
8
16
0
0
16
18
0
0
1
1
0
0
1
1
1
0
8
8
8
0
8
24
16
8
24
8
8
8
8
0
0
0
0
0
0
0
4
0
0
0
32
16
16
8
8
8
5
1
1
12
17
8
1
1
1
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
8
8
8
0
16
0
16
16
16
16
16
0
4
4
0
0
0
32
8
8
8
8
16
16
0
0
0
16
16
16
0
8
8
8
8
0
16
8
0
0
0
0
1
0
0
0
0
16
16
0
8
8
8
0
2
5
5
5
0
2
2
2
2
2
2
8
8
16
16
16
8
8
8
24
24
0
4
0
1
1
0
0
0
16
0
0
0
1
9
9
9
9
8
8
5
4
8
0
0
8
0
11
0
0
8
8
8
48
16
16
16
24
24
0
16
16
8
8
0
0
24
24
24
24
4
28
28
28
8
2
2
0
8
8
8
8
8
18
18
8
8
8
0
8
8
8
8
16
0
0
16
16
0
8
8
0
2
6
2
2
16
1
0
0
0
16
8
8
8
0
16
16
0
0
0
0
0
0
50
34
0
4
0
0
0
2
2
18
0
8
8
0
0
0
0
0
0
8
8
8
0
2
2
24
0
8
1
2
16
16
16
16
16
16
16
2
8
8
8
0
0
0
8
8
8
0
0
0
8
0
16
16
16
16
8
12
2
6
0
4
1
0
8
8
4
4
4
8
8
8
8
16
8
8
24
24
4
8
2
16
8
2
2
16
0
16
16
18
8
8
8
8
8
8
8
8
8
8
0
0
0
1
1
1
1
9
9
60
12
12
0
0
9
9
8
3
3
0
8
8
4
4
1
1
5
2
16
16
0
29
0
0
4
4
8
0
0
0
0
0
56
8
8
0
8
0
8
2
2
16
16
20
8
8
8
0
8
0
0
8
8
9
13
4
16
0
1
0
16
8
8
8
8
0
0
8
8
57
57
8
8
8
8
8
8
8
8
4
0
0
0
0
4
0
0
0
1
1
1
0
0
0
0
8
4
4
0
0
16
16
16
0
16
0
0
0
16
2
8
8
4
8
0
8
1
8
8
16
16
0
16
1
16
0
3
3
8
8
24
30
8
8
8
8
0
0
8
8
16
0
0
12
12
4
4
1
1
16
0
8
8
0
0
0
0
0
8
0
8
0
24
16
16
0
4
4
4
8
8
8
0
0
0
0
0
0
8
8
8
0
16
4
4
24
24
8
8
2
2
2
6
9
0
0
0
0
0
0
0
4
4
4
8
8
8
8
2
16
18
0
8
8
0
0
0
8
0
16
8
4
4
0
0
0
0
0
0
0
50
4
4
8
0
8
0
0
0
0
0
16
1
1
1
9
16
23
8
8
8
16
0
16
7
18
18
2
1
8
8
20
8
8
24
1
2
8
0
2
0
0
16
20
16
4
0
0
16
16
2
0
0
0
0
0
8
8
0
0
8
4
4
0
0
8
16
24
0
0
0
16
0
0
1
6
0
0
0
34
32
4
16
20
0
20
0
8
4
4
4
4
2
0
8
20
4
0
8
0
0
8
8
0
0
24
24
24
4
0
0
4
4
8
8
8
0
16
16
16
16
1
1
0
0
0
0
8
8
8
8
8
0
49
8
8
50
8
8
8
0
0
8
1
1
23
1
1
0
0
16
16
8
8
8
4
0
16
2
6
2
8
8
8
8
8
0
8
8
1
0
0
4
0
16
56
56
56
36
4
4
0
16
8
2
2
2
2
0
8
16
0
2
22
8
2
2
8
16
0
1
1
0
4
4
0
8
8
0
28
20
8
20
0
16
8
8
8
11
0
2
2
2
2
2
2
2
0
8
8
8
16
16
0
0
0
0
26
8
0
0
8
8
9
1
8
8
8
32
0
0
8
8
8
8
8
7
7
7
8
0
0
0
0
4
0
8
8
8
8
0
1
0
8
0
0
8
8
8
0
8
8
8
8
16
24
8
8
8
8
8
8
0
16
40
20
20
4
0
0
0
1
1
4
2
2
16
16
0
8
8
8
4
4
4
0
0
4
5
16
16
36
8
16
2
4
4
0
0
0
8
8
8
8
8
0
8
8
8
0
0
0
16
0
0
0
20
20
20
8
1
1
0
0
0
16
16
32
32
0
8
0
0
0
0
0
8
0
48
8
4
4
40
8
32
25
8
8
8
8
8
0
0
8
8
2
2
0
0
8
8
4
0
0
8
26
10
8
8
8
20
8
8
0
8
0
0
0
0
0
1
0
0
22
22
22
0
0
0
0
8
0
0
0
8
0
40
8
8
8
0
0
25
25
0
1
16
24
24
8
23
6
6
16
16
16
8
8
10
20
4
16
20
12
0
2
8
8
8
8
0
1
8
0
8
2
8
8
16
16
0
0
0
8
16
16
8
0
24
8
8
8
8
16
16
4
2
2
0
0
0
4
0
0
0
0
0
8
4
4
0
0
0
0
0
2
2
0
16
56
12
0
0
16
8
26
8
8
16
0
4
0
0
0
8
8
8
8
8
8
8
8
8
8
0
8
8
0
16
16
44
0
0
0
0
0
24
16
8
0
0
4
8
8
8
0
0
25
8
8
8
0
8
8
8
17
0
0
0
0
0
0
8
8
8
0
2
2
0
16
20
4
8
8
0
8
8
8
8
0
16
16
8
0
4
0
0
0
16
16
16
0
8
8
8
8
24
16
20
16
16
8
8
8
32
16
16
16
8
8
8
8
8
0
8
8
8
0
8
4
4
16
8
0
0
0
0
0
0
16
16
32
9
9
9
0
0
1
4
4
17
17
0
0
8
0
0
0
8
12
8
8
8
2
8
8
0
8
8
0
16
8
0
0
25
18
8
4
29
4
4
4
4
4
4
1
4
8
6
0
0
0
0
0
8
8
8
6
6
6
6
0
0
0
0
4
4
4
8
1
1
16
16
4
4
0
8
8
4
8
8
8
8
8
8
18
8
24
0
8
2
8
16
16
16
16
16
8
0
0
0
0
0
0
0
4
4
0
0
0
0
0
8
1
16
16
1
16
8
0
0
16
1
1
4
0
32
32
8
16
16
0
0
0
8
8
8
8
8
0
8
8
8
2
2
0
0
0
1
1
1
25
30
0
0
2
16
25
8
8
16
0
0
0
20
0
1
1
1
1
0
2
2
8
8
8
16
0
0
0
17
8
8
12
12
8
8
16
16
16
16
16
2
2
49
0
16
16
16
8
16
8
8
8
24
24
16
8
8
8
0
1
1
0
8
8
4
4
0
0
0
8
8
32
0
1
1
1
25
1
0
8
1
32
8
8
8
4
2
2
16
19
24
24
16
8
8
8
4
4
0
16
16
0
32
0
0
0
8
1
1
1
0
0
17
16
16
0
0
40
40
2
8
8
8
8
0
8
35
8
8
16
4
16
8
17
16
8
8
4
8
2
1
56
0
16
16
16
16
16
0
6
8
8
8
0
0
2
8
8
8
8
24
8
0
0
4
0
0
0
4
4
8
8
8
8
0
2
2
12
0
8
10
2
2
0
0
1
0
29
4
0
17
1
1
1
0
8
0
0
8
8
8
0
0
0
0
0
8
8
8
8
8
1
4
0
0
24
8
1
1
1
8
8
8
8
8
8
8
8
0
0
6
0
4
4
4
4
4
4
0
0
0
3
0
0
0
0
8
8
3
3
3
3
0
4
4
4
0
8
8
8
8
0
0
0
8
8
8
8
8
8
8
8
16
0
0
4
4
4
4
0
0
0
0
8
8
8
1
17
17
17
1
4
4
4
0
0
0
0
0
8
0
8
8
8
2
2
2
4
8
8
8
8
8
8
48
48
8
2
8
8
8
8
16
16
8
8
0
24
16
4
0
1
1
1
1
0
16
18
16
0
0
4
12
4
2
0
8
16
16
0
8
8
8
0
0
0
0
44
4
4
0
0
0
0
4
16
16
16
8
8
8
8
0
0
16
2
0
0
0
0
8
8
8
8
8
8
2
2
2
16
0
0
0
0
1
1
1
0
4
8
8
0
0
0
0
0
8
8
8
8
8
0
0
32
32
2
2
2
8
8
8
8
0
0
8
8
8
8
8
1
8
8
8
8
8
8
8
8
8
0
8
8
8
0
32
32
0
0
8
8
8
8
32
24
24
0
0
0
0
0
16
16
8
8
0
0
8
13
0
0
0
12
8
1
4
4
0
0
0
4
0
8
8
8
8
8
0
0
0
16
16
1
1
0
0
0
0
0
0
0
0
0
0
2
2
8
8
0
0
0
0
16
16
4
8
8
16
8
8
8
2
8
16
20
8
8
8
0
0
0
0
0
16
8
8
4
4
16
16
16
0
8
8
8
0
8
8
16
8
16
16
16
16
16
16
0
8
8
8
16
1
6
0
32
32
16
16
8
8
0
2
2
0
0
41
4
4
4
4
4
8
8
8
2
16
16
16
16
0
0
0
9
2
2
16
0
0
0
8
1
8
10
8
0
0
0
0
1
1
1
1
1
0
0
16
8
20
8
0
0
0
10
8
8
8
8
8
8
20
20
20
8
8
40
8
16
16
16
16
0
49
49
49
49
8
8
0
8
8
8
8
8
8
5
13
8
8
8
2
1
16
0
0
17
17
0
0
0
0
0
12
12
12
0
8
8
8
8
8
0
8
1
8
8
4
20
20
0
0
16
1
0
1
17
1
32
32
32
0
4
16
16
8
8
8
8
8
8
0
0
0
0
8
8
16
8
8
16
0
8
8
0
8
8
8
8
8
8
8
0
0
18
0
8
8
8
8
16
16
8
8
1
1
8
16
16
16
4
16
8
8
1
1
0
8
0
8
0
4
4
4
16
8
32
1
1
2
0
0
0
1
8
8
0
16
8
8
8
1
1
8
12
8
16
0
0
16
16
16
0
0
0
0
1
1
1
8
8
8
8
8
8
8
8
8
0
0
9
1
16
0
0
0
0
8
8
0
16
16
4
16
16
16
16
8
8
8
0
0
9
9
8
16
0
0
0
0
4
4
4
0
24
6
6
9
16
0
28
0
4
4
4
2
2
2
8
8
8
16
16
16
16
0
0
8
8
0
0
24
24
2
2
2
2
2
16
16
8
8
8
0
0
8
8
8
4
8
8
8
0
20
20
16
4
0
0
2
2
2
0
0
0
1
1
8
8
16
0
0
10
50
18
2
0
0
0
2
2
0
0
8
8
8
8
8
0
0
0
8
8
18
24
16
16
8
8
8
0
2
0
8
16
8
9
9
8
2
2
2
2
0
8
8
8
8
8
8
8
8
8
8
1
16
0
8
0
0
1
0
0
8
8
8
8
1
1
1
16
16
16
0
8
8
8
8
8
13
13
24
8
2
0
8
8
0
8
2
4
4
8
0
8
1
1
1
16
4
4
1
1
1
0
0
0
8
8
8
16
16
4
4
0
8
1
8
0
0
0
16
16
22
2
2
8
8
4
4
16
16
0
0
8
0
8
8
0
16
16
0
0
16
24
16
8
4
8
1
0
16
0
0
0
8
8
8
0
8
8
4
12
18
16
8
16
16
16
16
16
16
16
0
0
0
0
16
16
20
8
8
8
8
8
0
0
12
8
0
24
4
4
0
4
0
0
0
0
8
8
16
8
8
8
0
0
0
0
0
2
8
8
4
4
4
0
20
0
0
0
0
16
8
8
8
8
8
0
4
0
4
20
4
4
4
24
16
16
8
8
0
0
0
0
0
16
0
0
8
0
32
32
32
32
24
24
16
16
16
16
0
4
4
38
0
32
8
8
8
4
4
8
8
8
8
8
4
8
1
1
8
8
8
8
0
0
8
8
8
8
36
4
4
4
0
4
1
1
1
1
16
0
8
8
2
2
16
16
0
16
16
16
4
0
8
16
0
1
1
0
16
16
16
8
8
8
0
0
0
0
8
16
8
10
10
12
0
0
0
0
16
4
0
16
12
12
0
0
0
0
0
0
1
9
1
1
4
4
17
0
8
8
0
0
16
16
0
4
4
5
1
8
8
8
0
16
8
8
4
0
0
0
0
9
16
24
8
8
2
2
0
8
16
16
0
16
0
24
24
1
16
16
16
16
0
11
0
0
8
8
8
8
12
8
0
0
0
0
2
8
8
8
8
8
1
1
1
1
1
0
0
0
0
32
32
16
16
1
1
16
16
8
1
1
1
1
0
16
16
16
8
8
8
0
0
0
0
8
32
4
4
8
8
0
0
0
0
0
0
0
18
6
0
0
0
0
16
16
16
1
1
1
1
0
8
0
4
8
8
24
24
32
4
4
4
4
8
8
8
16
0
8
9
0
16
16
8
8
4
0
4
0
4
1
16
4
0
1
1
0
0
4
0
8
2
5
5
24
0
0
0
8
8
8
4
16
0
1
1
8
8
8
8
8
16
16
16
8
8
8
0
8
16
0
0
8
8
8
4
48
16
4
4
8
8
8
8
16
18
0
0
4
4
8
0
0
8
8
8
0
8
0
8
8
40
0
0
8
8
8
0
8
16
0
0
8
16
16
4
8
0
0
4
16
10
2
0
0
10
10
10
10
6
6
2
2
2
2
16
16
16
16
16
16
16
16
3
3
8
8
0
0
0
16
16
0
1
1
4
4
4
4
0
0
4
4
4
4
4
4
8
8
8
0
32
0
16
16
16
0
0
16
0
0
8
10
16
5
8
28
4
4
0
0
25
8
8
1
1
16
16
16
0
0
8
0
0
8
8
4
0
0
0
0
0
0
16
16
28
16
16
20
0
0
8
0
4
4
4
4
0
4
4
0
0
0
6
8
16
16
8
8
16
16
0
5
0
0
59
59
59
0
0
0
0
0
16
16
32
0
0
8
8
8
0
1
0
0
0
0
0
0
0
16
0
0
0
8
8
8
0
0
0
0
0
6
0
16
22
4
0
0
8
8
8
8
8
8
8
8
8
8
16
16
0
0
0
8
0
16
0
0
16
0
4
4
8
4
12
4
4
4
0
0
4
16
16
16
29
8
8
16
16
16
16
5
4
0
0
0
0
0
0
0
0
24
8
8
2
0
6
0
0
0
8
8
8
16
24
16
16
8
0
0
0
0
8
0
0
0
4
8
8
8
0
0
12
12
12
24
24
0
8
16
8
8
8
8
8
0
0
2
8
8
0
4
4
0
0
0
8
16
0
16
16
0
20
20
20
0
0
8
0
0
0
8
8
8
8
8
8
0
24
24
0
0
0
8
8
0
0
16
0
16
16
0
0
48
48
8
0
0
0
16
16
0
16
0
2
2
2
0
2
16
0
30
8
8
20
20
20
4
12
4
0
0
2
16
16
0
0
8
0
38
10
8
2
32
32
32
0
0
16
8
8
8
8
8
0
0
0
8
4
0
0
32
4
8
8
0
0
0
16
16
0
1
2
2
2
2
6
4
0
1
0
0
0
0
0
0
16
0
0
8
24
2
2
2
8
8
4
0
8
0
0
1
1
1
0
4
0
18
0
16
16
0
20
8
0
24
16
0
0
0
0
0
0
8
8
8
16
16
4
4
20
20
8
24
8
8
0
0
0
16
8
8
0
1
16
16
16
1
0
0
0
8
8
24
10
8
8
0
0
8
0
16
0
0
2
16
16
4
4
0
0
24
32
0
0
1
1
0
4
8
8
8
8
8
8
0
1
8
8
9
4
6
0
8
8
10
10
16
16
0
0
0
0
16
2
0
4
4
1
8
0
0
4
4
16
24
24
24
16
16
21
4
20
0
0
8
0
8
16
8
8
0
25
1
4
24
8
8
25
8
8
8
3
3
8
8
0
0
0
10
10
16
0
0
8
16
8
24
0
0
1
9
8
8
0
0
0
0
16
16
0
3
3
8
0
0
16
16
1
1
0
2
0
4
2
16
8
8
8
4
8
8
2
2
0
1
1
1
0
0
0
24
0
0
32
32
8
0
0
0
12
0
0
0
16
24
16
0
4
4
4
4
0
0
12
16
18
16
8
8
8
8
8
0
8
8
8
0
0
0
0
0
0
2
24
24
6
2
2
0
8
16
8
0
0
24
24
24
24
24
24
16
0
16
0
0
8
0
8
25
16
0
8
8
8
8
0
0
24
24
0
0
0
8
8
8
6
0
0
16
0
2
8
16
16
0
0
0
0
8
0
2
2
8
8
8
0
24
16
16
0
0
1
24
0
8
8
8
22
22
0
0
0
0
0
0
16
16
0
16
16
16
16
32
0
8
8
8
8
8
8
8
25
8
8
8
4
4
4
4
8
8
8
8
8
0
0
0
0
1
16
16
16
16
16
24
24
24
24
8
0
0
0
24
16
16
8
8
8
0
0
3
0
0
0
8
8
9
9
8
0
2
16
0
4
4
4
4
2
16
8
0
0
0
16
12
4
8
8
8
8
8
0
0
0
8
8
4
4
4
0
8
8
0
8
40
40
8
8
8
8
8
0
0
4
4
4
25
8
4
0
8
8
12
8
8
8
4
4
4
3
3
3
2
28
8
2
24
0
12
8
0
0
4
4
0
8
8
0
2
0
0
8
10
10
10
8
0
0
8
0
28
8
8
8
32
0
0
0
8
16
8
16
16
8
4
4
4
0
0
0
24
16
16
16
0
0
0
0
0
16
0
4
30
7
3
0
0
8
0
16
20
16
0
8
0
0
0
8
8
0
0
32
2
2
2
2
2
0
0
24
28
28
1
57
2
0
0
0
0
8
8
16
16
0
0
0
2
2
16
16
16
16
0
14
0
17
16
16
16
16
16
0
8
8
8
8
8
0
0
1
9
8
16
16
16
0
4
0
0
0
0
0
0
16
8
0
8
1
8
8
8
8
8
0
8
8
8
8
0
0
2
8
0
0
0
0
20
16
2
16
16
2
2
16
16
24
8
8
8
8
0
0
50
40
8
16
8
8
8
0
0
8
8
8
8
8
8
8
0
8
0
0
0
24
4
4
4
56
56
56
56
8
8
8
8
8
8
1
1
8
20
20
0
0
0
0
0
0
0
0
17
17
0
1
8
8
8
8
8
8
8
16
16
8
8
8
16
4
1
1
1
1
0
0
0
8
8
9
4
4
8
0
0
16
16
16
16
16
12
12
12
4
4
4
8
8
0
25
5
5
5
5
0
0
9
9
0
2
2
2
1
1
48
48
48
0
16
8
2
2
2
2
2
2
2
8
16
16
0
4
8
8
8
4
0
0
8
8
8
16
0
8
1
8
8
0
8
0
1
13
8
8
0
8
18
18
8
8
8
8
1
1
1
1
16
16
16
0
0
0
0
16
16
0
0
16
16
16
0
4
8
8
0
8
16
0
0
0
16
8
16
48
16
20
8
8
0
8
8
8
8
8
8
8
8
8
8
8
8
0
16
16
8
8
4
16
8
0
0
8
3
32
40
0
0
0
0
24
24
8
8
0
0
0
0
16
8
8
0
16
0
16
8
8
8
8
1
1
1
9
1
8
8
16
16
16
16
16
4
4
4
4
4
4
4
8
16
16
0
3
3
0
0
0
0
1
1
0
0
2
0
0
4
4
32
0
32
32
0
4
0
2
2
2
0
0
8
0
8
0
0
0
8
8
8
2
8
16
2
0
0
0
0
0
0
2
0
0
0
0
16
16
16
16
16
8
8
8
0
0
0
0
0
4
16
1
1
0
16
2
2
16
4
1
8
4
0
24
24
1
1
1
0
0
0
0
8
0
18
8
8
0
0
8
8
8
0
0
16
16
12
2
2
8
8
8
8
8
9
18
18
8
56
56
56
56
16
40
40
40
0
2
2
2
0
4
4
4
1
1
16
8
16
25
25
4
4
4
17
19
2
2
1
3
0
52
52
8
4
16
16
24
24
16
8
8
8
2
8
8
0
2
2
8
0
0
0
8
8
8
24
8
16
0
16
16
16
16
16
16
0
2
0
8
2
4
4
4
8
8
8
8
0
1
8
2
0
8
8
8
0
0
16
16
0
8
0
0
0
8
8
8
16
16
16
16
2
4
0
16
16
4
4
0
4
4
4
16
16
16
16
11
16
16
4
0
20
16
8
8
8
8
4
12
0
1
1
0
8
19
19
4
8
8
8
16
1
1
1
9
14
0
0
8
16
8
8
0
0
24
2
0
0
0
0
8
8
8
8
8
8
0
0
8
8
8
0
8
8
8
8
8
14
8
8
8
0
8
0
8
8
0
0
0
4
4
0
16
16
4
8
1
1
1
1
4
4
0
4
4
4
8
8
8
8
8
16
16
16
16
0
0
0
8
1
8
8
0
4
0
0
0
0
0
1
1
20
8
8
8
16
16
8
8
0
8
8
0
1
2
0
0
0
8
8
4
0
8
1
4
1
0
0
0
0
0
0
0
0
12
12
8
8
8
0
0
0
0
0
0
16
0
8
16
0
16
16
8
8
8
0
8
0
5
0
0
8
2
2
2
8
8
0
0
0
0
8
16
8
8
8
8
16
16
16
0
11
0
32
32
32
0
4
0
8
8
1
0
8
16
16
4
4
4
4
4
8
0
0
8
8
56
24
24
4
2
2
1
4
8
0
0
0
0
21
0
4
8
9
9
8
8
8
8
16
16
16
20
0
8
0
8
10
0
2
2
0
0
0
1
0
8
8
8
16
32
8
0
0
8
0
4
0
0
0
32
32
16
0
20
20
0
8
8
8
8
8
24
16
8
8
0
8
8
8
8
8
8
8
0
16
16
8
8
8
8
8
32
1
16
16
16
16
0
2
8
0
0
0
8
8
8
8
8
8
2
2
2
2
2
2
2
4
4
16
0
8
8
16
0
22
8
0
0
0
0
2
0
1
56
24
24
0
0
8
8
0
4
0
0
2
2
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
1
1
8
32
40
32
8
8
8
0
0
8
3
3
0
0
56
0
0
0
22
2
2
16
16
16
32
2
0
0
8
0
0
16
0
16
12
12
8
4
4
4
8
8
8
0
3
0
0
0
2
2
2
0
16
16
24
24
0
0
8
8
8
8
8
8
8
0
0
8
16
16
0
16
16
0
0
24
24
16
16
16
8
0
0
24
0
0
4
20
11
11
8
8
8
8
8
0
1
1
0
8
8
8
4
6
6
8
4
0
0
16
4
4
4
0
4
4
16
0
0
0
0
0
8
4
8
8
8
8
8
8
8
8
8
0
0
16
16
16
8
8
0
32
32
32
0
0
8
8
8
16
24
0
0
0
4
4
8
0
0
1
0
0
0
16
16
16
16
0
0
16
28
8
16
4
16
2
12
0
1
1
16
16
16
18
4
4
0
18
16
16
24
2
16
16
16
4
4
0
0
0
0
8
0
2
2
0
17
16
16
8
16
4
0
2
2
2
0
8
8
16
16
16
1
8
8
8
8
2
0
0
8
16
0
8
0
0
8
16
8
8
1
0
0
0
0
8
0
4
4
2
2
8
8
8
0
16
0
0
4
4
0
8
8
8
8
2
2
2
8
2
2
16
16
16
24
5
8
59
59
0
0
4
4
16
8
0
2
8
12
8
0
0
0
16
8
12
4
4
12
16
16
0
1
1
0
0
16
8
8
8
8
8
0
8
12
16
16
16
16
0
2
2
4
2
2
16
0
8
8
8
14
32
0
0
0
0
8
8
8
8
0
0
0
0
0
16
16
8
24
16
16
8
1
1
10
10
16
16
16
8
8
0
0
0
8
8
0
2
2
0
0
4
8
0
0
2
2
2
2
2
0
16
8
8
8
4
4
0
16
16
16
16
16
16
32
32
4
8
8
8
16
16
16
8
8
0
16
8
9
9
16
8
1
40
8
8
0
8
16
16
8
8
8
8
0
8
0
2
0
12
1
1
25
3
56
40
16
1
1
24
0
0
8
0
4
2
2
0
40
8
8
8
8
3
8
8
8
0
8
8
6
8
8
24
0
0
0
8
4
4
4
8
8
8
0
0
28
28
28
0
0
0
0
2
17
1
1
0
0
16
8
8
16
0
0
0
0
0
0
0
0
0
8
8
8
8
8
8
1
1
8
4
4
4
4
8
8
8
4
8
8
8
8
8
8
8
8
0
0
0
8
8
8
8
8
8
5
0
0
0
32
32
0
8
8
8
8
8
0
2
2
8
8
8
0
4
0
2
16
16
16
24
1
8
0
0
0
0
8
8
8
8
0
2
2
0
0
8
8
24
24
16
4
4
4
4
4
1
2
2
8
8
8
28
28
28
20
8
8
8
0
0
16
0
0
0
0
0
0
8
1
24
8
32
32
32
32
16
16
16
8
8
8
19
1
8
10
0
0
8
4
8
0
0
0
0
8
8
2
1
1
8
0
6
6
4
4
8
16
16
16
16
44
44
8
8
8
8
0
0
0
8
0
32
0
0
0
16
0
8
0
0
25
25
8
8
8
8
2
0
16
16
8
0
0
0
8
8
8
8
8
8
0
16
16
0
8
8
8
8
1
8
8
8
8
8
8
8
8
0
0
1
16
0
0
0
0
0
0
8
8
8
16
8
8
8
8
36
16
16
16
16
0
4
4
4
24
16
16
0
16
8
8
8
8
4
25
0
4
8
0
0
8
8
8
8
0
18
16
16
16
16
16
0
0
8
16
16
16
16
16
48
32
8
0
1
0
0
33
37
8
0
16
19
19
19
16
0
4
0
16
24
8
0
16
8
4
4
8
0
2
2
8
8
8
16
8
8
2
8
8
8
8
0
24
24
8
8
16
0
4
4
24
24
5
5
8
0
4
4
8
8
0
0
0
9
0
0
0
0
8
2
2
16
16
16
16
16
16
1
2
2
2
16
16
16
32
4
8
8
0
0
4
0
0
8
8
24
24
8
24
8
8
8
8
8
0
0
0
0
0
9
16
4
1
0
0
0
0
24
0
0
4
8
8
0
0
20
0
0
57
0
8
0
0
8
8
16
4
8
8
8
2
0
0
32
32
0
0
24
24
0
0
0
0
0
0
8
8
0
1
1
1
1
0
0
0
0
0
2
2
16
16
16
16
8
0
8
16
16
16
16
16
16
1
1
1
18
1
8
8
8
8
8
8
8
8
8
0
8
1
16
2
0
0
8
48
48
8
1
1
0
0
4
4
16
16
16
0
8
8
8
16
0
16
0
1
27
16
8
0
0
0
6
8
24
16
20
32
8
16
16
24
8
0
0
0
16
28
20
0
8
4
0
0
0
16
16
16
0
0
0
0
8
8
8
8
8
8
8
0
0
0
0
8
16
2
8
8
16
8
8
2
0
24
0
0
0
8
8
8
8
8
8
8
8
8
8
0
0
16
16
2
2
2
4
4
0
0
16
16
8
18
18
50
0
0
8
0
24
2
4
20
0
8
0
0
16
0
30
0
2
4
0
0
0
0
1
3
0
0
8
0
8
25
17
0
8
4
4
2
2
2
2
0
16
16
16
16
2
8
8
8
8
8
8
2
2
0
0
32
0
8
8
8
8
16
0
18
8
0
8
16
16
0
0
32
16
16
16
16
16
8
4
4
4
0
15
15
8
26
0
0
8
8
0
16
16
16
0
0
0
0
8
4
2
2
16
16
18
18
18
0
0
8
8
8
8
8
0
0
20
8
8
8
8
8
8
10
24
16
16
16
4
8
8
8
16
0
0
4
4
0
0
8
0
8
8
8
8
0
16
8
8
4
4
8
24
24
8
20
20
20
8
8
8
0
0
12
12
56
8
0
0
32
34
32
0
8
8
8
6
0
16
0
0
0
0
16
22
16
16
16
8
8
0
16
0
16
16
0
0
0
4
0
0
0
8
8
8
8
8
8
16
16
16
16
0
0
3
16
8
24
0
8
2
2
2
0
8
8
8
0
6
20
0
0
0
0
0
16
0
0
0
0
17
0
0
16
8
1
4
8
8
8
8
8
8
8
0
0
0
16
0
10
0
0
0
0
8
0
1
0
16
8
2
32
9
8
8
4
0
24
8
8
8
24
16
0
0
0
8
0
16
4
2
2
2
8
12
8
8
8
8
12
16
2
0
24
0
0
8
8
8
8
16
8
8
2
0
0
0
0
4
8
40
32
16
8
8
4
8
24
6
6
16
16
16
16
8
8
32
8
0
0
0
0
20
0
16
0
0
0
0
0
0
8
8
8
16
16
16
0
0
0
0
0
18
0
0
0
8
8
8
8
16
21
0
0
0
0
0
18
0
0
0
16
16
16
8
4
4
8
2
16
16
16
16
0
8
8
0
0
0
0
8
0
1
1
0
2
1
0
0
0
8
8
4
4
4
0
8
4
8
8
8
8
12
12
2
2
2
16
25
25
8
8
8
8
8
8
8
8
16
0
8
8
0
0
4
4
16
1
2
18
18
8
8
16
16
16
4
18
4
0
4
4
4
4
0
0
0
8
8
8
8
8
8
0
0
0
16
16
0
8
8
8
8
8
8
0
20
8
8
8
8
16
1
16
1
17
17
17
17
8
8
60
0
16
0
8
8
8
8
16
16
4
4
0
0
16
20
20
4
8
0
0
0
0
0
8
0
8
0
8
24
17
8
8
8
0
0
0
16
0
8
8
16
16
24
8
8
8
8
8
2
10
8
12
0
4
36
4
8
2
4
28
16
4
4
4
4
4
0
0
0
0
0
8
8
8
0
16
16
0
16
8
8
4
16
16
4
0
1
31
31
31
16
0
0
0
2
8
8
8
6
6
1
0
16
8
8
8
8
16
16
1
1
8
1
6
16
16
8
8
8
1
10
10
10
8
0
0
8
0
0
32
32
32
16
16
16
16
8
8
0
2
2
8
8
8
8
1
0
4
4
16
16
16
16
0
2
2
2
0
2
0
16
16
12
0
25
25
25
25
25
0
16
9
0
0
0
0
8
8
8
0
0
0
8
8
8
8
16
0
16
0
24
0
16
0
26
0
0
6
0
0
1
0
0
0
8
8
8
8
8
8
8
8
8
8
0
0
16
0
8
0
16
16
16
0
0
0
0
0
0
0
8
5
0
16
16
4
4
4
0
0
0
16
0
8
8
0
0
0
16
16
8
4
1
8
0
24
16
8
8
24
0
0
34
2
18
18
10
10
16
16
8
8
16
8
24
24
8
8
16
2
18
18
18
0
0
8
24
16
16
8
4
41
41
2
2
2
2
4
8
4
1
41
1
0
8
8
0
0
8
8
8
8
8
0
0
16
16
10
8
8
8
8
8
8
8
8
8
28
28
28
2
2
4
0
0
16
0
0
1
8
8
1
19
1
1
1
8
8
0
0
0
4
4
0
16
16
0
0
16
16
16
0
0
2
0
0
1
0
0
0
8
8
8
8
8
8
8
8
16
16
8
8
8
0
0
0
0
1
8
0
0
8
8
8
8
1
1
0
1
1
1
0
0
0
0
0
1
0
8
1
8
8
0
24
8
18
24
25
1
0
0
0
8
16
24
8
2
8
8
24
16
16
16
16
16
16
8
24
8
8
22
30
4
2
21
0
0
0
24
26
24
0
0
0
0
8
8
8
8
4
8
16
16
8
8
19
19
8
8
8
16
16
8
8
32
0
4
4
4
4
4
8
8
8
4
4
0
0
0
0
8
8
8
8
0
0
4
1
1
2
4
4
4
4
0
0
0
1
6
6
6
6
16
16
48
8
8
8
0
0
0
0
0
8
0
2
0
0
16
16
8
8
8
8
0
4
28
1
1
1
1
1
18
8
12
12
8
8
8
8
16
8
8
8
8
8
0
2
2
2
8
8
8
16
16
0
49
0
8
8
4
4
4
16
4
16
2
2
16
16
17
0
2
0
1
8
8
8
8
8
8
8
8
8
8
8
8
8
16
16
16
0
0
0
0
8
8
8
8
1
8
8
8
8
8
8
0
0
24
0
0
0
4
36
0
32
32
32
32
16
16
16
8
0
20
0
24
1
57
41
9
18
8
8
8
8
0
0
0
0
0
0
8
8
4
4
12
0
4
4
2
0
16
1
1
4
4
0
2
8
8
8
27
27
8
8
4
8
8
8
1
1
0
16
16
16
16
8
8
8
32
8
8
8
9
9
0
8
8
0
0
18
8
8
8
0
5
5
5
4
8
8
16
8
8
2
16
1
8
4
8
8
8
4
4
4
0
0
8
8
0
0
0
1
8
8
8
0
0
0
8
8
0
8
36
8
0
0
8
8
8
8
8
8
8
0
3
8
8
16
16
48
32
0
0
0
0
2
2
8
16
2
4
4
8
16
0
0
0
8
8
36
0
0
8
8
0
0
0
16
8
8
0
2
12
0
0
8
8
8
8
8
8
8
8
1
16
1
1
1
1
16
8
4
2
18
18
8
8
8
8
8
8
8
8
40
40
8
0
8
4
0
0
0
0
0
0
0
0
12
8
16
8
8
8
8
0
0
0
0
8
16
8
0
16
0
0
16
8
8
16
0
0
0
16
24
8
0
8
8
8
8
0
0
8
4
4
4
4
4
0
16
16
0
0
0
0
16
8
8
8
0
16
16
24
24
24
1
8
8
8
8
16
4
4
4
0
16
2
3
0
8
24
8
18
8
8
8
8
8
16
1
1
0
0
32
32
32
0
0
8
0
16
16
2
2
8
8
8
8
8
0
8
8
8
4
16
16
16
0
0
0
0
0
32
32
16
0
16
0
1
0
8
1
1
4
8
8
0
0
16
4
4
4
8
8
8
20
3
0
0
0
0
4
4
0
0
8
8
8
8
8
0
8
4
4
0
0
2
0
0
0
8
4
8
8
0
1
0
0
0
1
1
8
8
1
4
4
24
8
0
0
8
8
8
8
16
0
0
16
8
8
16
4
16
16
24
24
0
0
4
4
0
4
0
0
16
8
8
2
0
0
0
8
8
8
8
1
16
16
0
0
0
0
0
8
4
8
8
8
33
33
0
16
2
8
16
16
8
8
24
8
0
22
22
22
24
24
0
16
0
0
8
8
16
16
16
16
16
16
8
24
8
8
8
8
8
0
4
0
8
0
0
0
14
0
0
8
8
8
8
8
0
16
8
20
0
0
8
1
8
0
8
8
8
8
20
0
8
0
6
6
6
0
0
16
0
0
24
32
32
8
0
0
4
4
4
4
1
0
20
8
8
8
8
5
1
1
1
0
4
0
8
1
1
2
2
8
8
16
16
8
0
8
0
0
24
0
0
0
8
8
0
0
0
16
8
8
8
18
16
0
0
0
0
0
62
36
32
8
28
28
28
0
24
8
8
8
0
0
5
15
8
0
8
8
8
0
16
0
16
16
8
0
1
1
3
4
2
8
16
4
24
0
0
0
0
8
8
8
8
8
8
8
8
8
0
8
8
0
0
0
0
8
8
0
8
0
0
0
0
0
8
0
16
16
8
8
8
8
0
0
0
16
0
16
16
0
0
0
0
8
2
8
8
8
8
8
8
8
0
0
29
28
0
0
0
2
2
2
2
0
16
16
8
8
8
8
5
8
8
8
8
0
0
0
32
2
2
2
2
2
2
1
8
8
0
16
2
8
8
8
4
0
0
1
2
2
8
8
0
0
8
8
8
8
1
1
2
2
8
8
0
0
16
8
0
0
16
16
16
8
16
0
0
0
0
0
9
8
8
8
0
0
0
0
16
16
0
16
16
16
7
0
0
2
6
6
6
16
8
0
8
8
8
8
0
24
8
8
3
0
8
8
0
0
0
10
10
0
0
0
0
0
8
8
8
8
8
8
8
8
16
16
8
8
2
2
4
0
0
8
12
0
1
1
4
16
16
16
16
0
8
0
0
8
9
1
0
4
62
0
16
8
8
8
0
0
0
16
16
8
8
8
8
8
4
4
32
8
16
8
8
8
8
8
0
17
0
0
8
0
8
8
1
8
8
8
8
0
0
0
0
17
0
8
8
8
24
24
1
1
8
8
8
8
18
0
8
17
20
8
8
0
0
0
20
16
8
1
16
16
0
0
16
16
16
8
8
44
60
44
16
16
16
16
8
0
0
8
8
4
8
8
8
4
0
0
0
16
8
0
0
4
0
0
2
6
0
0
0
8
8
8
24
13
13
13
9
8
2
16
16
16
16
8
0
8
8
8
8
8
8
8
32
32
8
8
16
0
2
2
16
16
16
3
3
24
24
16
0
0
0
8
8
8
8
0
8
12
12
16
0
0
8
8
10
10
0
0
1
1
1
1
2
8
8
8
8
8
8
8
8
8
8
0
4
0
16
16
0
4
0
16
16
0
0
8
16
0
0
34
8
16
24
4
4
4
4
0
4
16
16
16
16
48
2
0
8
24
8
8
0
16
16
8
16
16
16
9
8
9
4
8
8
8
20
4
4
16
16
0
24
1
0
2
2
24
2
2
2
16
0
0
0
0
0
0
0
9
8
8
8
8
0
8
2
8
2
1
1
0
2
6
0
0
12
8
16
8
8
8
8
8
8
0
0
40
40
16
16
0
0
0
8
8
8
17
1
16
8
8
8
0
0
0
18
18
24
8
8
8
8
1
0
0
17
1
4
0
0
12
12
0
8
8
24
8
0
8
8
8
8
0
2
2
2
2
2
0
16
16
16
16
0
0
8
2
2
0
8
1
8
0
0
0
4
4
4
4
0
0
0
8
0
16
16
16
8
8
0
0
8
8
8
8
0
16
8
0
1
0
0
0
0
8
0
4
20
4
4
16
16
32
2
0
16
8
8
8
8
8
8
0
1
1
2
20
16
16
58
0
0
16
16
24
8
8
3
3
0
0
0
28
28
16
0
0
0
0
0
0
8
0
8
0
0
0
0
3
4
8
8
8
8
8
0
0
0
0
0
8
8
8
16
16
16
0
0
8
8
16
9
8
0
0
0
0
0
4
4
4
4
4
2
16
0
16
20
16
8
8
4
0
8
8
8
8
8
8
8
0
0
28
28
28
8
8
0
0
0
8
0
0
8
16
0
16
16
12
0
0
0
0
16
16
8
8
0
0
24
2
2
2
8
8
8
24
8
0
0
0
17
1
8
16
0
0
40
8
16
8
8
4
8
13
13
8
0
4
8
8
8
4
1
0
0
0
0
0
0
0
4
16
16
16
8
8
0
8
8
8
8
16
24
0
18
24
0
24
24
0
8
8
8
0
8
8
8
10
22
0
8
8
0
0
2
6
32
8
20
24
24
24
24
24
24
24
24
0
0
0
8
12
8
8
0
0
8
0
0
0
1
8
8
8
4
4
16
8
9
1
9
24
8
8
4
4
18
16
16
0
8
8
48
8
40
32
32
8
8
8
0
26
48
0
0
0
9
0
2
18
8
4
4
0
24
24
8
8
8
8
0
0
24
0
8
8
8
8
8
8
1
0
8
8
0
0
0
0
0
0
0
0
0
12
0
2
2
16
0
0
0
0
8
4
4
0
32
32
32
8
0
4
4
0
16
16
16
16
4
4
0
48
2
16
16
16
9
0
0
8
0
8
16
16
1
0
8
0
24
8
0
0
0
0
0
4
12
36
0
0
16
1
1
1
1
0
0
8
32
0
24
8
8
8
8
8
8
8
8
2
8
8
8
8
0
0
0
0
1
0
0
0
0
2
8
4
4
0
0
17
19
0
8
8
8
0
0
0
32
36
0
0
0
0
0
16
16
16
2
16
0
0
0
8
8
8
8
8
8
8
8
16
0
18
16
19
0
24
16
16
0
0
0
0
16
0
0
0
0
2
2
2
2
32
16
2
2
0
0
0
0
10
0
0
0
0
0
17
17
0
0
0
0
0
0
0
8
0
16
16
48
48
0
0
16
12
8
4
4
4
8
8
0
16
8
8
8
8
16
17
0
0
0
0
0
0
8
8
8
8
8
4
16
16
0
0
0
8
8
8
0
0
16
9
5
16
8
6
4
4
4
17
17
8
0
8
8
24
8
8
4
16
0
0
0
8
0
8
8
8
8
1
1
1
1
16
16
24
0
0
36
0
8
0
8
8
8
8
16
8
8
8
0
8
8
2
1
8
16
8
8
8
8
0
4
4
0
0
0
0
0
8
18
0
0
0
0
0
8
8
8
8
2
2
2
2
16
0
8
8
8
0
0
2
8
0
0
4
4
16
4
0
8
16
16
1
0
2
2
2
48
2
0
0
0
0
16
16
4
32
0
8
8
12
12
0
0
0
0
0
0
8
28
8
8
8
8
8
8
8
8
4
20
20
4
8
8
8
28
28
8
8
0
8
8
8
4
16
8
12
1
1
0
16
16
20
20
16
8
8
8
8
8
8
8
16
16
16
0
8
8
1
4
4
4
4
16
8
8
0
16
16
16
16
0
0
0
0
0
0
8
0
16
16
16
16
16
16
16
16
16
16
0
0
8
8
8
0
0
0
24
24
24
0
0
0
0
0
8
1
1
1
1
4
1
8
4
16
0
0
0
0
8
8
8
0
0
57
0
16
16
0
0
0
0
0
0
0
8
0
20
8
10
2
2
0
1
1
9
9
0
0
8
8
16
16
8
24
20
12
0
0
0
0
24
8
0
0
0
8
8
16
16
8
24
8
4
4
0
0
0
8
16
8
0
27
27
1
1
8
8
16
24
0
1
0
0
0
0
8
8
8
8
8
8
0
32
0
0
2
2
2
8
8
0
8
8
8
8
60
0
16
0
0
24
16
16
3
0
16
0
2
16
8
8
0
1
8
16
5
16
30
8
8
0
8
8
8
8
8
0
8
8
8
8
8
0
0
0
0
0
0
16
8
8
8
8
8
0
0
0
0
4
4
4
16
16
16
8
8
8
8
8
8
1
0
0
0
0
0
0
0
2
8
3
3
8
0
8
16
16
8
8
8
8
8
8
8
8
8
8
8
8
4
24
8
8
8
16
16
16
16
0
8
8
0
0
0
0
4
0
17
17
8
0
0
0
16
0
8
20
8
8
8
8
0
0
20
20
20
20
20
0
0
0
0
20
4
0
24
8
8
0
28
0
0
8
0
0
0
1
52
0
8
8
4
4
8
8
0
16
16
21
8
8
1
8
8
8
8
16
17
16
33
16
16
16
0
8
8
8
0
8
8
8
1
8
8
0
0
16
0
4
4
0
0
0
28
28
28
28
2
2
6
0
0
16
8
8
8
8
4
4
4
4
0
16
16
8
8
8
8
8
8
8
8
4
4
8
8
0
4
4
8
8
2
1
8
0
0
16
20
16
16
30
22
8
8
8
1
8
8
8
8
2
16
24
24
0
0
0
0
2
2
1
1
0
8
8
8
16
16
1
1
1
1
8
8
8
8
8
4
17
17
8
8
0
0
0
8
1
8
8
8
8
1
1
1
1
16
16
1
32
2
8
8
0
2
8
8
8
8
8
0
16
0
9
8
8
0
16
8
8
8
8
8
8
8
8
4
4
32
0
0
0
0
0
8
8
0
17
17
17
17
24
23
23
19
0
0
0
0
1
1
8
8
8
2
2
0
0
0
0
0
18
18
18
24
16
16
0
8
0
4
4
4
12
16
16
16
2
0
8
8
8
8
8
24
8
8
8
16
0
0
0
0
0
4
4
0
40
0
8
8
8
8
16
32
32
16
0
1
9
28
28
0
52
4
8
8
8
8
8
2
0
0
1
8
0
24
8
8
8
8
0
0
8
12
0
8
8
8
16
0
0
8
12
12
16
16
16
28
28
28
28
28
8
8
8
8
8
0
8
8
0
0
8
8
16
20
0
0
0
0
0
4
4
8
8
8
0
0
0
8
8
8
0
0
8
1
8
8
12
0
8
0
4
0
0
0
0
0
0
0
0
2
16
8
0
12
8
8
8
8
8
8
8
0
8
4
16
16
0
0
0
0
8
8
20
20
16
4
12
8
8
0
32
32
4
4
4
8
8
8
4
8
8
0
16
16
8
8
16
16
16
8
0
0
8
0
28
4
4
0
0
8
8
16
16
2
26
8
8
8
16
0
8
2
2
8
13
8
1
1
8
8
8
8
0
0
0
0
0
0
8
5
0
2
2
0
0
16
0
8
8
4
4
4
4
0
1
8
8
2
8
8
1
0
8
0
4
2
0
0
0
0
0
8
8
8
8
8
58
58
0
0
0
0
16
17
16
16
2
2
8
8
0
8
16
2
2
2
2
0
4
28
28
0
4
28
28
28
12
0
0
0
16
16
16
17
17
17
8
0
16
28
16
9
9
16
16
16
16
16
16
16
1
16
2
0
9
16
0
18
18
8
8
8
8
0
16
16
24
20
8
10
0
32
32
1
32
8
8
8
8
8
8
12
0
24
24
24
2
20
20
0
0
16
0
4
4
0
8
8
8
8
8
16
16
16
40
40
0
0
0
16
8
8
8
8
8
16
16
2
2
2
8
2
2
8
8
4
8
8
8
0
0
0
16
0
16
0
0
0
0
0
0
8
8
0
4
0
0
8
0
2
2
16
8
8
16
0
0
0
0
16
16
3
27
1
1
16
0
4
4
4
0
2
32
32
0
23
12
12
4
4
8
4
4
16
20
20
4
0
40
0
16
8
8
8
8
20
0
8
8
16
0
0
0
0
0
16
34
0
0
8
4
4
4
0
0
4
4
4
4
0
0
8
8
8
8
8
1
10
8
16
24
0
1
1
1
1
1
24
42
0
0
9
9
4
16
0
1
1
1
1
28
28
0
8
24
4
32
4
0
0
26
26
26
28
0
8
8
0
0
0
0
0
0
0
8
2
2
2
2
0
0
0
16
16
16
16
0
0
4
2
4
0
0
24
8
8
8
16
0
0
16
10
8
16
16
16
17
0
0
0
0
0
8
8
0
0
16
16
1
1
1
1
17
8
8
4
16
8
1
0
8
0
8
16
0
16
16
8
8
8
8
8
4
0
0
0
20
4
4
8
9
2
2
16
1
16
16
16
16
16
24
0
1
12
0
8
2
2
0
4
1
0
0
0
0
0
0
4
0
4
59
16
0
19
8
8
8
16
16
16
0
8
32
32
16
16
16
0
0
0
0
20
16
16
4
16
8
0
0
0
0
24
24
0
8
8
0
0
0
0
0
8
20
20
20
20
20
1
0
0
0
0
0
0
0
8
8
0
8
8
8
0
28
4
4
0
6
16
16
5
0
2
2
2
8
8
8
8
8
1
1
4
4
4
4
16
16
16
16
1
0
12
8
8
8
8
8
8
2
0
0
0
16
16
16
16
8
16
16
16
0
8
9
16
16
16
22
6
16
0
16
1
1
0
0
16
3
4
8
16
8
8
8
8
8
8
8
2
2
18
18
16
8
16
16
16
5
5
5
5
9
27
27
27
27
27
16
2
2
8
16
16
8
8
8
0
8
8
8
10
10
0
0
0
8
8
4
16
0
0
32
0
8
8
8
0
8
12
8
8
8
8
8
0
16
1
1
1
8
8
8
8
8
8
8
16
2
6
6
2
2
16
8
24
8
0
19
19
8
8
8
8
0
0
0
8
8
0
17
7
0
0
0
1
1
9
8
8
16
16
8
0
8
8
8
0
16
16
16
16
8
4
4
16
16
16
8
4
4
8
0
4
4
8
8
24
0
4
4
10
8
10
10
10
0
8
8
8
8
0
16
8
8
8
8
8
8
8
0
8
8
8
2
0
0
40
8
8
18
16
18
16
16
0
0
16
24
16
16
0
0
0
0
8
8
2
55
32
32
21
4
4
32
0
4
4
9
8
24
12
0
4
4
4
0
0
0
0
16
0
0
4
4
2
4
4
16
0
0
0
8
8
8
2
4
0
0
10
18
0
1
1
24
16
16
8
8
6
2
0
0
8
0
20
0
0
0
0
4
4
36
0
2
0
0
25
1
8
8
0
0
0
0
0
0
0
8
8
0
1
1
1
2
2
2
8
8
0
0
16
16
8
8
8
8
16
0
0
4
4
4
16
0
16
8
0
0
0
8
8
8
28
0
0
0
0
0
0
8
8
8
11
0
1
8
8
8
8
16
12
12
16
16
0
0
4
16
16
16
16
0
8
8
0
8
4
8
8
8
8
8
8
0
0
24
8
1
17
0
0
0
0
25
8
8
8
16
24
24
8
0
11
11
11
24
2
0
16
16
18
2
32
16
16
16
16
2
16
0
8
8
8
16
16
8
8
8
0
20
20
20
0
0
8
8
20
0
8
0
0
8
8
8
16
0
38
16
16
8
0
16
16
24
4
17
16
0
0
8
8
8
8
8
32
32
8
16
16
1
0
8
0
4
4
16
16
16
4
0
0
8
0
8
8
8
8
8
8
16
8
8
24
24
8
0
0
0
8
8
8
0
0
0
0
16
8
56
17
17
4
8
8
8
16
0
0
16
16
16
16
0
8
8
0
0
8
0
16
16
32
32
2
6
0
0
8
8
8
28
28
0
16
0
8
8
8
8
16
16
8
4
0
0
4
1
16
4
4
8
12
8
8
8
8
8
8
8
0
0
0
0
0
2
2
16
16
8
8
8
8
8
8
16
16
16
0
32
8
16
16
8
8
0
0
1
1
26
8
8
0
0
0
8
8
8
1
0
0
8
24
24
0
16
16
10
16
0
4
0
0
1
16
10
16
10
16
8
8
17
0
0
2
8
8
8
0
2
2
8
16
16
16
16
16
16
16
16
0
0
0
0
0
16
0
0
2
2
16
16
0
2
2
4
8
24
8
8
8
8
8
8
8
8
16
0
1
16
16
8
8
10
4
24
24
24
16
16
16
16
0
8
8
0
0
16
8
8
8
8
8
8
8
18
18
18
18
9
8
0
0
4
4
32
32
32
16
2
8
8
8
1
1
12
2
0
0
0
0
0
8
8
4
0
0
4
4
4
4
8
0
0
16
32
32
32
8
1
1
4
8
30
0
8
6
6
24
8
8
0
0
16
28
0
8
8
8
1
1
1
9
17
1
8
8
8
8
8
0
0
0
10
8
8
0
0
0
0
0
24
24
8
8
8
1
1
4
18
2
2
0
0
0
0
20
4
4
4
4
0
0
41
0
8
8
0
16
16
0
2
16
8
8
8
8
4
0
16
24
8
8
8
8
8
8
8
8
8
16
16
0
0
0
16
16
16
16
0
4
4
0
0
0
8
8
8
8
0
8
8
4
4
6
2
4
8
0
0
2
2
0
16
16
8
12
4
4
4
8
8
8
8
8
4
8
8
8
8
0
0
0
16
2
0
0
8
24
24
0
0
24
8
28
28
16
16
16
0
4
4
8
8
0
0
8
8
8
8
8
0
1
8
24
0
0
8
8
8
8
0
0
0
3
0
0
0
0
0
0
0
0
0
4
16
16
16
16
16
16
16
16
16
16
16
16
4
4
4
4
4
4
4
4
0
0
0
0
0
16
8
0
8
8
8
0
16
16
16
8
8
8
8
0
8
24
21
20
0
8
8
8
0
4
1
0
0
0
20
20
20
0
24
8
8
8
4
0
2
2
8
0
0
8
8
0
0
8
16
16
0
1
1
1
1
1
1
0
4
4
8
8
8
0
0
16
16
16
32
8
0
4
4
4
4
4
16
0
0
0
0
0
24
24
8
4
4
4
16
0
2
2
2
8
24
16
16
16
16
16
16
1
8
8
8
8
8
8
8
0
0
16
12
8
8
8
0
8
8
8
8
8
8
8
8
4
4
4
0
0
0
17
17
0
8
8
8
0
4
0
0
0
0
0
0
48
8
8
8
0
0
0
0
24
24
24
24
8
8
24
16
0
2
8
8
0
0
8
16
0
4
0
16
8
4
1
8
4
4
4
3
8
8
0
41
32
32
32
24
8
8
8
8
0
24
24
16
0
19
8
0
0
32
0
0
0
0
8
8
8
24
24
8
8
8
12
8
4
4
4
4
0
48
8
9
9
8
8
16
16
8
8
0
8
8
8
8
0
0
4
8
8
8
0
8
8
8
8
8
0
4
16
1
8
0
32
33
0
0
8
0
2
2
2
8
16
16
8
8
25
16
8
0
6
4
0
0
0
16
1
12
12
16
16
1
1
1
1
4
24
8
0
0
24
8
8
16
0
0
12
4
8
12
0
8
24
24
8
8
8
8
8
0
1
0
8
24
24
0
0
0
10
10
0
0
0
4
16
8
4
0
0
8
1
0
0
8
8
8
8
8
32
0
0
16
16
16
16
16
16
16
0
8
1
1
4
16
0
16
16
16
16
16
8
8
8
0
0
0
0
8
8
0
16
16
16
0
0
0
0
8
48
16
16
26
26
0
13
13
0
0
4
0
8
56
8
0
0
4
20
4
2
0
16
0
4
16
16
24
8
8
8
8
8
8
1
0
4
32
0
0
0
16
24
16
16
0
0
0
4
4
4
16
24
8
0
0
8
8
4
3
8
8
0
0
0
4
4
4
4
0
4
42
42
8
8
8
24
8
24
8
0
0
1
0
1
0
8
8
8
8
0
16
16
16
16
8
4
4
4
0
0
16
16
1
8
8
8
0
0
0
32
8
8
8
8
0
21
0
0
8
8
8
8
8
8
1
1
1
0
0
0
16
16
16
4
2
2
2
2
2
0
4
4
4
4
2
2
0
0
2
8
8
8
0
0
8
8
0
4
4
4
8
0
16
16
8
2
12
4
0
1
8
2
2
8
8
8
1
1
1
1
8
8
0
0
4
4
0
20
0
8
8
8
8
0
0
0
0
17
17
17
8
8
8
8
17
0
16
8
16
16
8
8
0
0
1
0
12
4
0
16
20
20
0
40
8
8
8
0
8
0
8
8
8
0
0
16
16
8
0
30
20
9
9
0
0
0
0
16
16
16
0
8
1
1
16
18
18
32
32
32
32
0
8
8
24
16
16
8
8
12
8
4
16
0
16
0
0
0
0
36
0
0
0
0
32
32
0
0
0
0
16
16
0
8
0
8
20
20
20
20
16
24
8
0
0
0
8
8
4
8
8
1
2
2
0
0
0
12
12
8
8
8
8
32
4
32
0
0
4
4
4
4
0
2
2
2
4
4
16
16
8
8
0
8
16
16
16
16
16
16
16
8
8
4
4
16
0
1
1
1
1
0
4
4
4
4
4
8
0
0
8
8
0
16
0
8
8
16
8
8
16
16
16
16
16
2
2
0
0
0
16
4
16
26
16
16
1
2
16
18
18
0
0
0
0
0
0
16
0
8
8
8
4
4
4
2
8
10
2
8
8
0
0
0
0
0
0
4
8
32
2
4
0
0
2
0
0
0
1
1
1
1
1
1
12
12
8
8
8
8
17
49
6
2
4
16
16
4
4
4
4
4
4
8
8
8
8
8
8
16
16
16
16
0
11
10
18
4
4
8
0
8
0
8
0
0
8
0
1
1
8
8
0
0
16
16
24
0
0
8
8
8
8
8
0
0
4
4
4
4
4
8
8
0
0
0
0
4
1
8
8
16
8
1
1
8
8
8
13
13
4
8
16
8
16
16
4
16
18
16
0
0
16
0
4
0
8
8
0
0
0
1
1
1
1
1
1
1
16
16
0
1
1
1
1
1
1
0
0
8
32
4
4
4
4
0
8
8
8
16
16
14
0
0
0
18
8
8
12
12
0
17
8
8
44
4
8
0
0
0
0
0
0
16
0
0
8
8
8
16
16
20
1
0
19
0
0
8
8
0
2
16
16
0
0
8
8
8
8
8
32
18
16
16
8
8
8
8
0
0
0
24
32
32
0
0
4
4
4
16
0
8
8
8
16
16
8
8
17
2
0
0
0
0
0
0
0
0
0
0
32
8
0
8
8
8
8
8
8
8
8
8
0
0
24
16
4
4
1
1
8
0
0
8
8
0
8
8
8
8
0
0
12
4
4
8
2
8
34
8
16
8
16
4
12
16
0
0
8
8
8
1
8
2
8
8
8
8
0
0
8
8
8
0
0
24
24
2
0
2
2
2
2
0
24
16
8
24
0
16
16
8
8
8
8
0
8
2
2
0
0
1
1
1
8
4
4
4
17
16
2
0
0
2
2
16
16
8
24
8
1
1
20
16
4
16
8
8
8
0
8
8
8
17
0
0
4
4
8
0
16
0
0
16
16
16
1
4
24
18
18
18
0
0
0
24
0
0
0
16
0
0
0
8
8
8
8
8
16
16
8
8
8
8
8
8
0
49
49
49
49
49
49
0
16
16
61
8
16
1
16
0
8
4
18
8
24
0
8
16
16
8
8
8
8
16
8
8
8
24
24
24
24
24
0
0
0
16
16
0
16
2
2
2
0
4
4
4
8
8
8
4
4
26
0
0
0
12
4
4
4
18
0
20
20
20
20
20
17
16
0
21
1
24
24
24
24
0
0
0
16
4
4
0
12
5
8
16
16
16
24
16
8
1
1
8
0
16
16
0
8
8
0
0
9
2
2
1
8
0
0
1
1
1
1
1
16
16
8
8
8
8
20
16
16
16
16
16
8
0
8
1
0
0
0
0
0
48
0
0
0
0
0
0
0
0
0
4
4
1
1
1
10
8
0
8
8
8
8
8
0
8
8
0
0
16
8
1
1
8
0
2
6
1
1
0
8
8
11
3
3
0
16
16
16
16
0
0
4
8
20
16
0
0
0
0
17
8
8
16
16
16
16
0
0
0
2
2
2
0
16
1
11
3
8
2
0
8
0
16
16
8
8
11
8
2
2
0
8
8
8
8
8
4
18
18
18
4
4
8
8
8
32
32
8
0
8
0
8
0
8
8
8
8
8
8
8
8
0
0
2
16
2
2
2
0
0
8
16
16
16
16
16
16
16
16
16
8
16
2
2
16
8
16
16
16
8
0
0
0
16
8
8
4
4
4
16
16
16
16
16
0
0
8
8
8
8
0
0
8
0
7
31
0
1
1
0
22
16
2
8
8
8
4
16
16
8
8
4
4
32
32
0
4
0
16
0
0
0
8
8
0
0
4
0
2
2
0
0
0
4
33
16
8
8
8
8
24
16
8
0
0
8
16
16
33
16
16
0
0
0
16
8
8
8
8
1
2
8
8
0
16
16
16
16
0
0
16
8
0
8
8
8
0
0
2
2
0
8
8
0
0
0
0
0
8
8
8
8
0
0
0
4
0
0
8
0
0
8
16
16
0
8
8
8
8
4
4
8
8
8
8
0
0
0
0
0
16
16
0
0
2
2
1
1
1
0
0
0
8
8
0
16
0
0
0
0
8
0
8
0
0
0
4
4
4
4
4
0
4
60
60
60
16
16
16
16
4
4
0
8
0
8
16
16
16
4
4
0
0
8
8
8
8
8
8
8
8
8
8
0
8
2
2
2
2
8
8
4
16
16
16
16
16
16
16
2
2
0
8
4
16
16
16
1
0
0
0
0
0
32
4
0
16
8
1
16
8
16
8
8
8
16
8
8
32
8
32
1
1
0
0
16
1
1
1
0
18
18
18
0
0
8
8
8
2
19
0
8
8
8
8
8
8
8
0
16
0
0
0
0
0
0
0
0
8
8
8
8
16
8
8
0
8
10
0
8
0
0
0
1
1
0
8
60
8
16
16
16
8
0
8
8
8
8
8
8
8
8
8
8
0
58
10
10
8
0
0
0
0
8
0
7
7
7
8
8
8
26
16
8
0
0
4
4
4
0
0
16
4
4
8
0
0
8
0
0
8
8
0
8
0
0
0
0
0
0
0
0
0
0
0
8
0
8
8
8
8
2
2
16
8
16
0
0
8
0
0
1
0
4
16
16
24
16
16
0
0
1
0
8
4
4
4
4
1
1
4
4
20
20
20
2
8
0
0
0
8
16
0
8
16
16
16
16
0
32
1
1
32
16
16
16
0
16
0
46
0
0
0
20
20
0
4
4
4
48
1
8
0
4
4
4
0
0
16
16
0
0
0
0
0
0
4
4
4
4
0
0
0
16
16
5
21
16
0
0
0
9
9
28
0
4
4
8
8
4
0
8
8
8
8
8
8
8
16
0
18
18
0
24
0
0
0
0
8
8
8
8
8
8
8
16
2
0
8
0
16
16
16
16
16
0
0
0
0
8
8
8
8
8
8
8
8
0
0
8
8
24
24
24
8
0
8
0
8
8
0
0
0
8
0
0
8
8
0
8
4
0
0
0
0
0
24
8
8
8
4
4
4
8
0
0
0
8
0
16
8
16
16
8
0
0
16
2
0
0
4
8
8
8
16
16
8
4
0
8
8
8
1
0
3
3
16
8
8
8
8
8
8
8
8
4
4
4
8
6
0
24
17
17
17
4
8
8
8
0
0
0
12
0
17
0
1
1
1
0
0
8
8
8
8
8
0
0
0
0
16
24
0
16
8
0
2
2
8
0
0
0
0
0
16
0
56
56
56
56
56
56
0
8
0
0
16
16
1
1
0
8
32
16
16
1
1
12
8
8
8
8
8
8
8
8
8
8
8
0
0
16
16
16
0
0
0
2
16
2
0
8
0
8
0
0
0
0
16
16
16
20
1
1
16
1
1
1
4
4
4
4
0
0
16
16
16
0
0
0
8
8
16
16
24
8
8
8
24
16
16
16
16
16
16
8
8
8
8
8
1
1
1
1
1
1
8
8
8
0
0
12
28
0
0
2
8
8
8
0
0
0
0
2
0
0
0
0
8
0
8
8
8
8
8
4
17
17
17
1
1
8
8
0
0
0
16
16
16
8
0
4
4
4
16
16
4
4
8
8
8
8
8
8
8
16
18
0
0
14
10
32
32
4
4
4
4
4
0
0
0
4
4
4
4
8
8
8
8
0
0
1
8
8
4
32
8
16
16
16
16
16
0
0
0
8
0
24
8
0
8
8
8
8
8
8
8
1
8
16
0
8
24
8
8
8
8
0
0
8
8
0
0
0
16
16
16
16
0
0
0
32
32
8
16
20
40
56
0
24
8
16
16
8
8
8
8
8
6
0
8
12
16
8
2
24
1
8
16
4
4
0
8
16
16
16
16
16
16
16
8
8
8
0
0
16
16
4
4
0
0
8
16
16
16
8
8
8
8
16
0
8
8
0
0
8
0
32
32
0
0
0
0
0
8
16
16
10
0
8
48
8
8
4
1
1
1
1
1
1
8
8
0
0
4
16
16
16
16
24
8
0
8
8
8
8
8
8
6
32
2
0
0
0
12
12
12
0
8
8
0
1
16
8
8
8
8
8
8
8
0
4
4
8
8
8
8
0
0
17
16
8
8
0
0
0
16
0
0
8
8
1
1
2
4
4
0
0
0
0
8
8
0
0
24
16
0
8
26
0
8
8
8
8
2
16
16
8
8
1
8
8
8
8
0
0
0
8
8
9
9
0
0
0
0
0
0
0
0
0
0
0
0
0
8
20
16
16
14
8
8
8
8
8
8
8
8
16
16
16
0
8
0
0
60
8
0
8
0
0
0
57
57
0
0
0
0
0
8
8
8
8
4
4
0
16
4
4
4
16
16
16
16
0
0
0
0
24
24
24
0
16
16
16
16
16
32
32
4
0
16
16
16
0
0
24
16
0
8
8
8
8
8
1
1
0
8
0
24
24
1
0
8
0
0
0
28
8
8
8
8
8
8
0
2
2
0
16
0
0
0
0
8
40
8
8
2
0
0
0
16
16
16
16
0
0
0
6
22
6
6
39
4
0
0
0
8
8
0
0
4
1
1
1
0
0
0
4
4
4
4
4
8
8
0
0
0
0
0
8
0
8
16
16
16
16
24
0
0
8
16
17
17
16
0
0
8
4
4
0
0
0
8
8
8
8
16
32
0
20
0
0
9
56
0
0
0
8
4
0
12
12
12
12
16
16
16
16
16
8
8
8
1
8
0
16
8
0
0
8
0
4
4
4
4
0
16
8
8
8
0
0
4
4
0
2
2
2
2
2
2
16
16
16
0
0
0
0
0
0
0
8
0
2
0
0
16
8
16
1
0
8
8
8
0
0
0
40
40
8
8
8
0
1
1
4
4
48
0
17
17
0
0
4
4
4
4
8
8
0
0
0
0
4
0
0
0
30
30
1
1
8
0
0
16
16
16
16
0
0
8
8
8
8
8
16
16
8
16
19
8
8
8
8
0
8
16
24
2
0
0
0
0
0
0
8
8
8
4
16
0
0
16
16
2
2
0
8
8
8
2
2
0
0
0
3
8
8
0
0
8
8
0
0
0
8
4
8
16
17
16
16
0
0
0
0
0
56
8
0
8
42
0
16
0
0
8
0
0
8
1
1
24
2
26
26
1
0
0
0
16
16
32
30
30
8
8
8
8
8
0
8
8
8
8
8
0
0
8
8
8
8
8
16
24
8
8
8
16
16
0
1
8
8
8
8
16
12
12
12
0
0
8
16
16
16
16
4
4
16
0
16
0
9
8
8
1
1
16
16
0
0
0
4
4
1
16
16
16
8
16
16
32
8
1
16
0
2
1
8
8
16
0
16
2
2
2
16
24
4
20
16
4
4
24
24
16
0
8
0
0
16
16
20
16
20
4
1
1
1
4
8
0
0
16
16
0
8
16
8
8
8
8
0
8
0
8
8
0
16
16
0
0
0
2
2
4
4
8
8
0
16
0
1
8
8
0
8
0
0
0
20
0
0
0
4
0
24
8
8
8
16
32
0
0
16
16
16
16
16
16
16
16
8
24
24
0
8
4
0
20
6
8
8
26
0
0
0
8
4
5
8
8
8
8
16
2
0
4
4
8
8
8
8
4
4
0
0
0
4
4
1
8
8
8
8
8
8
8
8
8
0
12
0
0
0
4
4
4
4
4
0
8
8
48
32
0
0
24
0
0
14
14
8
16
16
16
16
0
0
1
8
8
2
2
2
32
8
8
8
8
8
8
0
0
0
0
0
0
0
0
0
1
16
0
0
0
0
0
0
0
0
16
0
8
0
0
0
0
0
0
0
0
0
0
16
0
0
32
32
8
8
0
0
0
0
0
16
0
28
28
28
28
0
0
8
2
16
0
4
8
8
8
8
16
8
16
8
8
8
8
5
0
0
0
16
16
16
8
4
8
8
8
8
16
16
8
8
8
8
8
8
8
8
8
8
8
8
8
32
16
48
0
8
0
8
8
8
8
8
8
8
16
1
8
0
0
0
1
0
0
0
0
8
8
8
8
0
16
16
16
16
16
17
17
17
17
17
1
4
4
24
8
8
8
8
8
8
8
8
8
0
0
1
0
8
24
0
0
0
32
36
32
4
32
36
0
0
8
0
0
0
0
2
24
4
0
8
8
24
8
4
4
4
16
8
8
0
0
16
1
1
1
32
8
8
8
1
1
1
1
4
4
16
16
8
4
16
16
16
16
8
0
0
4
0
0
4
4
4
8
8
0
8
8
0
8
8
8
0
16
0
12
9
9
9
2
2
8
8
16
8
8
8
0
0
0
8
0
8
8
40
40
16
0
8
8
8
2
0
0
4
4
4
4
0
0
0
0
8
8
8
8
4
8
0
0
0
16
16
0
6
6
4
4
0
0
0
16
0
52
16
16
16
0
16
24
24
24
2
0
16
16
4
4
4
8
8
8
8
8
0
8
8
8
8
16
16
24
0
0
0
0
0
2
0
0
2
16
16
16
16
16
16
16
16
8
8
8
8
4
4
4
1
1
1
1
8
8
0
0
0
2
16
0
0
0
4
8
0
0
16
24
24
8
8
0
16
16
24
8
8
0
0
16
16
16
8
8
8
8
8
16
16
3
3
0
4
20
4
8
0
1
1
1
8
8
8
8
8
20
8
8
8
8
8
4
16
6
6
0
0
16
8
0
16
0
8
26
16
16
19
19
22
22
22
4
0
0
0
0
0
28
4
16
0
16
16
16
2
8
8
8
8
4
0
0
0
0
0
0
0
0
8
57
8
8
8
8
1
8
8
8
8
0
8
8
8
8
8
8
4
4
8
8
8
8
40
40
16
8
8
0
0
0
16
16
16
8
0
0
32
32
8
8
8
8
8
8
2
2
2
16
0
0
0
0
1
8
0
2
4
4
0
8
0
8
8
0
1
0
8
8
8
1
1
1
1
1
1
1
24
0
24
0
0
18
8
8
0
0
0
4
0
4
24
8
16
16
16
16
16
16
4
8
8
8
0
8
2
2
2
8
8
0
0
8
0
8
8
8
8
8
8
8
8
8
8
8
4
0
0
0
0
0
8
8
8
8
16
16
0
0
0
0
8
8
8
8
8
0
0
32
8
2
41
32
32
16
0
0
8
16
8
8
8
8
2
18
18
16
16
16
16
0
8
8
8
1
2
16
0
32
61
12
0
16
16
16
16
16
0
0
8
8
0
0
8
0
0
0
2
0
0
8
8
8
8
8
0
0
0
10
10
25
25
4
4
4
8
4
0
8
8
16
16
16
16
24
16
4
1
8
16
16
16
40
8
8
16
52
53
53
49
4
53
53
53
16
4
0
0
0
8
32
32
16
16
8
8
9
9
1
0
0
0
16
0
0
8
8
8
8
0
16
16
16
8
8
0
0
4
16
0
8
8
8
8
8
8
8
8
4
4
4
4
4
4
8
8
32
32
16
8
0
0
8
16
8
8
8
8
8
8
16
0
10
24
16
0
8
8
8
16
8
8
8
4
4
0
8
8
16
16
4
0
0
8
8
8
2
8
0
0
0
0
0
0
8
8
8
8
5
1
1
8
8
8
8
18
18
18
0
4
8
16
1
1
8
0
4
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
3
3
8
0
8
8
2
2
0
0
8
57
57
57
16
16
16
16
16
0
0
0
4
24
0
0
16
16
0
0
0
8
8
8
8
8
8
0
0
8
8
8
8
16
24
16
16
0
0
0
0
4
0
8
24
8
8
8
8
0
0
8
8
16
8
16
16
1
1
1
2
2
2
9
4
4
4
0
8
8
0
10
8
8
0
0
0
0
0
4
4
16
24
2
8
8
4
16
0
0
24
8
8
16
16
60
0
16
16
8
8
1
1
8
8
32
8
2
2
4
2
2
8
0
0
16
16
48
16
16
0
0
4
0
0
0
0
8
8
8
16
0
16
16
16
16
8
8
8
8
32
32
8
8
8
16
16
0
0
16
0
1
1
1
1
1
1
8
8
8
4
4
8
4
4
4
16
24
16
1
1
0
0
0
4
1
0
0
24
6
8
4
0
0
16
16
16
16
16
2
9
8
8
4
0
1
1
1
24
8
0
16
16
1
0
8
24
14
10
0
20
32
8
8
8
28
28
28
16
13
13
8
26
0
16
4
8
16
0
16
16
16
16
2
2
2
2
8
8
8
48
56
16
20
16
8
8
8
8
0
0
17
1
49
20
20
1
1
18
8
8
8
0
0
0
8
0
1
16
16
0
8
0
0
8
24
8
24
16
8
32
8
0
8
16
4
0
16
0
0
4
2
16
16
16
8
8
8
16
16
16
16
0
8
8
8
8
0
14
14
14
0
16
16
4
17
1
1
1
16
1
1
1
1
1
8
0
8
0
16
0
16
16
16
36
36
0
4
0
0
0
8
8
8
16
16
16
8
16
16
16
2
2
8
16
0
4
4
2
0
0
8
0
8
25
22
22
8
16
8
0
8
8
0
16
16
16
16
16
16
16
16
16
16
16
8
12
8
16
16
2
2
2
8
8
24
8
8
0
0
8
0
8
40
8
61
61
1
1
1
1
1
1
10
10
8
4
16
20
4
4
4
8
8
8
0
0
0
0
0
0
0
8
8
24
8
8
8
1
1
1
0
0
0
16
1
5
8
8
8
26
0
24
24
24
0
4
4
1
2
2
0
8
8
16
16
16
16
0
0
0
0
0
8
8
8
8
16
8
16
4
8
8
8
8
42
8
8
16
0
0
16
0
8
8
1
16
16
16
49
0
0
0
16
16
16
16
8
8
8
8
2
2
5
5
8
2
2
2
17
12
1
8
8
8
8
17
34
34
34
2
2
2
0
0
0
0
16
16
16
16
16
0
8
8
8
0
8
8
8
0
8
16
24
4
0
0
0
16
0
8
10
8
8
0
8
8
8
13
13
1
1
9
16
1
1
8
0
16
16
16
16
4
4
0
16
16
8
0
8
0
0
16
4
8
8
8
0
0
2
1
9
0
0
16
16
16
16
16
16
16
8
8
0
0
0
16
16
16
28
28
0
0
8
8
8
8
0
0
8
0
1
8
8
8
8
8
4
24
16
16
8
8
8
8
8
0
0
8
8
8
8
0
0
16
16
16
16
0
1
4
0
0
0
16
16
0
8
21
6
8
24
0
0
16
16
1
1
1
8
8
16
16
0
0
0
17
17
0
4
13
0
2
2
0
1
1
4
8
8
8
8
8
0
16
16
16
0
1
1
17
4
16
0
0
4
8
16
8
8
58
58
8
8
8
8
8
8
0
24
8
8
8
0
16
0
0
8
8
0
0
0
4
4
0
24
8
0
16
16
20
16
0
0
8
8
8
8
8
8
16
16
19
19
19
2
2
2
2
2
2
2
16
4
4
0
2
2
2
0
0
0
0
0
0
21
1
16
16
8
8
17
16
0
0
0
0
0
0
0
0
0
16
16
0
0
17
0
0
8
8
8
8
0
8
8
8
0
8
8
16
16
24
8
4
4
8
8
10
10
10
0
0
24
2
2
2
16
16
16
16
16
8
0
8
16
16
16
16
2
2
13
12
0
24
0
8
8
8
8
2
0
8
8
16
0
0
0
8
16
16
1
32
0
16
0
8
0
0
8
0
0
0
20
20
0
8
8
0
0
0
1
8
0
0
0
16
16
16
8
8
8
8
8
0
0
0
8
8
8
8
0
0
8
16
16
8
1
1
8
0
0
0
24
0
0
24
8
8
8
20
8
24
8
8
8
8
8
0
0
20
20
16
0
0
8
0
24
4
4
8
8
16
8
8
0
1
1
8
8
8
8
0
0
1
8
0
0
0
8
8
10
10
4
4
4
16
16
16
16
16
0
16
16
16
0
8
4
16
8
16
16
16
8
8
8
8
8
8
8
8
0
0
0
0
16
4
0
0
0
8
8
8
0
0
0
16
16
16
16
8
8
8
16
16
2
12
12
12
16
1
9
8
8
8
8
8
8
16
16
16
8
8
8
8
8
8
8
16
0
0
0
0
24
0
16
8
8
8
0
2
25
28
0
0
16
48
4
0
0
0
8
0
0
0
31
31
31
4
8
0
16
8
8
2
0
0
8
8
0
0
8
16
16
16
8
8
24
24
8
8
8
8
33
0
0
8
8
8
0
0
8
8
8
0
0
8
8
8
4
4
8
0
0
8
16
0
4
4
32
8
8
8
8
40
40
8
0
0
4
4
0
0
8
8
8
8
0
10
10
10
10
0
16
16
16
4
4
0
1
7
7
2
18
0
48
0
0
0
2
2
2
8
1
1
1
4
4
4
4
8
8
0
1
1
8
8
8
8
8
8
8
8
8
8
8
4
12
8
0
1
1
0
32
8
8
8
8
8
8
0
8
16
16
8
0
16
0
0
0
1
16
16
16
16
0
32
32
32
32
20
9
9
12
2
2
8
8
8
8
0
0
36
4
8
8
4
4
4
4
4
0
0
0
2
0
0
0
0
0
0
0
0
16
6
6
18
16
1
1
8
8
8
16
16
16
2
34
1
1
1
8
8
0
1
1
0
0
0
0
2
1
25
2
0
32
32
32
16
16
16
8
8
8
9
0
0
16
8
8
2
2
2
2
2
2
4
4
0
16
16
0
0
1
1
1
1
1
4
8
8
8
0
8
0
24
8
0
0
8
8
16
16
16
4
4
0
0
8
16
18
0
24
2
0
8
8
0
0
17
8
8
16
8
8
8
0
0
0
0
0
0
8
4
8
8
0
8
8
0
0
4
0
8
8
16
16
28
16
16
16
16
8
8
8
8
0
12
8
8
8
8
8
8
0
0
0
0
16
16
16
24
0
16
8
8
8
8
16
16
17
0
0
0
0
1
1
0
0
0
0
0
16
24
40
40
8
11
10
16
16
0
0
0
16
4
1
8
16
16
2
2
2
2
0
8
8
8
0
8
8
8
16
16
0
0
16
1
1
16
16
16
8
8
8
8
8
8
0
0
0
8
8
0
0
4
2
2
0
0
0
8
8
8
0
11
11
8
10
16
8
8
8
16
8
16
16
16
16
16
16
16
0
0
4
0
0
8
8
0
29
29
16
16
0
8
8
8
8
8
8
8
0
1
1
6
0
8
1
8
24
8
4
4
4
4
4
8
16
56
8
0
0
8
24
0
8
8
0
0
8
4
0
1
0
8
0
2
0
0
0
1
1
1
1
1
1
27
27
0
4
4
0
8
4
0
8
0
8
0
52
52
24
0
8
0
0
0
0
8
8
0
0
0
32
16
16
8
12
8
16
24
0
0
16
2
0
0
0
4
4
32
32
12
32
2
2
2
16
8
8
8
1
1
8
8
20
16
16
0
0
8
8
8
18
18
8
21
4
17
1
8
24
19
17
0
4
4
16
16
16
16
0
0
0
1
1
0
0
2
2
16
16
16
8
8
8
16
16
1
1
0
16
0
0
8
8
8
18
1
1
1
8
8
0
1
8
8
9
0
0
0
0
12
12
12
8
0
8
8
8
16
16
16
16
16
16
8
4
4
48
8
8
8
8
8
8
8
16
16
0
8
0
0
16
16
17
16
4
4
0
8
8
0
2
16
0
0
4
4
0
16
16
16
0
16
16
16
4
8
16
16
0
8
0
8
16
4
0
0
8
8
0
0
4
13
13
13
0
0
8
0
0
24
4
4
8
1
0
16
4
4
4
4
0
8
8
8
16
23
23
7
8
8
8
8
0
0
0
48
8
16
16
16
0
0
0
0
0
0
0
0
2
8
8
0
0
0
0
0
0
0
16
16
8
0
0
8
16
16
8
4
4
4
4
2
2
0
0
0
16
16
6
6
7
0
0
0
0
0
16
16
8
8
0
1
1
1
1
1
1
1
32
32
16
24
0
0
0
0
0
1
0
4
4
4
4
8
8
4
0
34
4
4
4
4
4
4
4
4
4
8
8
25
25
0
8
2
2
22
8
16
16
0
1
16
16
8
8
16
16
24
0
0
8
2
44
36
4
4
4
4
0
2
2
16
8
24
24
24
0
0
16
16
0
16
16
1
1
16
17
8
8
8
0
24
1
4
4
0
0
0
0
0
16
1
8
24
24
8
8
2
9
9
1
0
8
3
0
1
16
16
0
8
8
2
2
0
0
8
0
0
8
8
8
8
8
8
0
8
8
8
29
1
1
0
0
16
16
0
8
8
16
21
21
16
0
0
0
4
4
2
16
16
10
16
8
32
2
8
8
8
2
3
16
16
4
0
0
0
16
16
18
2
0
0
0
1
1
1
1
40
8
8
8
8
0
8
8
8
8
0
0
28
28
4
8
1
0
8
4
8
4
4
4
0
11
11
8
16
2
2
0
8
8
0
8
11
8
0
0
8
0
0
0
0
59
59
0
8
0
0
8
16
16
8
8
8
8
8
16
0
0
2
3
24
16
16
16
16
32
32
8
8
8
0
0
0
5
5
8
8
16
16
16
8
0
0
8
2
2
2
2
2
8
16
16
16
17
8
25
25
25
25
20
0
0
8
1
16
16
0
0
4
4
4
4
4
17
4
0
16
8
8
8
8
24
24
24
8
6
2
0
8
8
0
0
1
16
16
6
12
16
0
0
4
4
4
4
1
1
16
16
16
16
0
16
16
16
8
8
8
8
8
8
0
8
2
8
8
0
0
8
0
9
0
8
8
8
8
4
4
4
4
4
4
4
8
8
0
8
8
8
8
0
16
16
16
16
8
0
0
16
16
0
0
1
1
1
1
1
1
1
1
26
8
8
8
0
1
1
4
5
4
0
16
16
16
16
16
16
2
16
0
0
0
0
0
0
0
8
4
4
4
1
1
1
0
0
1
4
4
4
4
4
4
4
8
0
11
11
8
8
16
16
0
0
0
0
0
0
0
8
8
6
16
16
16
0
0
20
6
0
16
16
0
8
8
16
0
0
16
0
0
4
2
0
0
30
16
24
8
8
8
0
8
8
8
0
0
32
32
32
1
4
8
8
8
8
17
0
8
0
8
16
16
4
4
4
8
8
16
8
0
0
0
0
0
8
0
1
0
32
8
4
16
0
7
0
0
8
16
18
18
0
0
8
8
8
8
8
4
8
8
0
0
0
8
8
8
8
0
16
16
16
1
1
1
1
1
1
1
8
8
8
8
8
24
16
0
16
16
0
24
24
24
24
16
16
16
16
12
12
16
0
8
16
16
16
16
16
8
8
16
16
0
0
4
24
24
2
2
0
0
0
16
16
0
24
24
8
16
16
16
8
0
16
0
8
8
4
4
4
16
8
8
8
8
8
0
16
8
16
24
24
24
24
1
1
0
8
8
8
4
8
8
16
0
0
1
0
0
8
8
0
0
8
8
8
8
8
8
8
8
24
16
16
16
6
6
52
0
8
8
4
4
4
0
16
8
0
0
0
0
24
8
8
0
4
4
4
8
4
4
4
2
16
4
4
4
20
4
8
8
18
15
2
2
1
1
1
17
1
1
1
1
1
1
0
40
0
0
0
0
0
0
0
0
0
3
0
4
4
8
8
8
8
8
8
0
16
16
0
0
19
19
19
8
16
16
0
0
8
8
8
4
10
10
1
0
0
1
1
2
16
16
16
16
16
4
4
0
1
1
1
0
0
24
0
8
16
8
2
16
25
10
10
10
16
8
8
0
20
20
1
1
16
4
4
3
3
1
1
16
16
8
8
8
0
0
2
8
8
8
0
0
8
16
16
6
22
4
4
0
0
8
24
16
16
16
16
16
18
18
1
0
8
32
32
32
32
32
8
16
4
8
8
8
0
0
0
0
16
16
3
3
16
16
8
8
2
2
2
2
17
0
9
9
0
0
0
0
0
0
0
0
0
8
8
8
0
0
16
8
8
8
8
0
4
0
0
24
8
49
49
2
2
2
16
16
8
8
8
8
8
8
8
8
0
0
16
16
16
16
16
16
16
8
8
8
0
16
9
32
28
58
16
18
16
16
16
4
4
0
1
0
0
6
6
1
8
16
16
22
22
22
2
0
1
16
16
16
16
0
8
0
2
2
2
0
0
16
0
0
8
0
9
9
9
9
32
40
0
0
1
20
4
8
8
4
0
57
20
2
0
2
2
1
16
16
0
0
16
16
16
16
16
16
16
16
0
0
0
0
17
29
1
1
1
0
8
8
8
0
8
0
8
0
0
8
8
8
4
4
0
0
0
8
0
8
4
16
1
16
16
0
0
8
8
8
0
8
8
8
0
0
16
0
8
8
8
20
20
1
1
1
1
1
8
8
8
0
16
24
16
8
4
4
0
4
4
8
8
16
17
17
0
0
8
4
16
20
12
6
58
26
0
17
8
8
8
8
0
1
1
0
8
0
8
8
8
12
4
8
8
8
0
24
24
24
0
0
0
8
8
8
8
0
8
4
4
4
4
4
0
0
59
16
16
8
8
8
16
8
8
8
8
8
0
8
0
4
8
1
0
4
0
9
16
16
8
8
8
8
8
16
18
18
18
4
8
20
20
8
8
0
8
48
16
16
16
16
8
8
16
8
8
4
16
16
8
16
0
16
16
16
0
16
0
0
0
16
16
8
16
4
0
4
5
8
8
8
8
8
8
8
8
8
0
24
24
24
24
2
16
16
16
24
24
24
24
8
8
0
16
2
0
0
16
8
8
8
8
0
24
0
0
0
0
0
1
1
1
8
0
0
1
1
0
21
21
4
4
6
4
4
4
16
0
0
0
0
8
1
0
16
16
12
8
8
12
0
8
0
0
20
20
6
0
24
24
16
24
8
0
2
8
8
16
0
0
1
1
1
1
1
8
4
0
0
0
8
0
60
8
4
8
8
8
8
0
0
0
8
8
8
8
8
8
4
4
4
4
32
16
24
0
10
10
8
0
0
0
10
10
10
4
9
17
0
4
16
0
16
16
0
16
16
1
24
24
0
0
16
16
16
16
0
0
26
0
8
8
8
8
8
8
0
16
0
0
2
8
8
0
32
32
2
0
4
0
0
0
0
4
4
4
57
4
2
8
8
8
1
8
8
8
8
8
8
27
27
16
16
0
0
2
2
16
4
0
0
8
16
0
8
8
16
16
0
4
8
2
8
8
8
16
1
1
24
16
0
0
4
0
16
16
8
8
8
8
8
8
32
0
26
8
8
0
0
0
0
8
8
8
0
4
20
4
24
4
4
29
8
8
8
0
16
4
4
16
16
16
0
0
18
18
8
19
0
0
0
16
16
0
24
10
9
17
17
17
0
8
8
0
8
4
0
2
2
2
17
17
17
16
0
0
0
0
8
8
0
0
0
8
8
0
8
8
16
16
0
0
0
16
16
16
2
0
1
0
0
0
0
0
1
1
40
8
8
8
8
16
16
16
16
16
16
16
16
16
16
16
16
8
0
17
17
17
0
0
0
0
0
8
0
8
8
8
8
25
16
16
16
16
0
8
12
12
12
12
0
16
16
16
0
0
1
8
16
16
8
32
32
32
0
17
16
8
8
8
8
8
2
16
4
8
8
8
8
0
0
8
24
8
8
8
8
0
1
1
8
0
8
0
0
8
8
16
1
1
1
16
16
0
8
8
8
8
24
1
8
8
8
16
0
8
0
8
8
18
17
0
0
0
0
0
0
0
4
8
16
16
1
16
16
8
0
8
8
0
8
8
8
16
16
16
16
16
16
8
8
16
4
8
0
4
8
0
16
1
1
12
8
0
0
8
16
12
12
8
8
16
4
4
8
12
0
8
8
0
0
4
4
1
8
4
4
8
8
16
8
8
20
8
28
13
0
8
0
20
20
0
0
8
8
16
12
1
0
16
8
0
8
9
8
16
6
6
0
0
16
16
0
34
34
0
0
1
12
16
8
8
4
17
17
4
0
0
16
2
0
12
24
8
16
16
2
0
24
24
16
0
20
20
8
0
33
33
0
0
0
8
8
4
28
8
8
8
0
8
8
8
16
16
16
16
0
8
10
8
8
8
8
8
8
0
0
32
2
0
16
16
16
0
4
4
8
8
1
1
0
0
0
9
8
8
8
8
8
16
0
17
0
2
24
24
24
8
0
4
16
8
16
0
18
24
8
0
0
18
0
4
4
0
21
21
4
4
4
4
0
0
2
2
32
0
0
0
1
8
8
8
8
9
9
0
0
0
0
0
16
11
11
1
1
0
0
0
1
0
16
8
8
8
8
8
8
16
16
1
1
1
32
32
32
0
0
1
1
16
0
0
8
1
0
16
0
16
1
9
8
8
0
0
8
8
8
8
0
0
4
4
0
0
4
16
16
8
0
4
4
0
0
8
8
0
17
17
1
0
0
4
4
16
0
0
0
0
0
2
1
1
0
5
4
0
0
0
16
16
8
4
4
4
4
0
0
0
0
0
8
8
8
8
0
4
4
4
8
0
16
16
0
0
0
25
0
8
16
16
16
0
0
0
8
8
8
8
4
8
8
0
0
0
0
0
1
8
0
8
8
8
24
24
8
8
8
1
0
16
16
8
8
8
8
16
0
10
10
0
0
0
0
6
16
16
0
4
0
0
2
2
40
0
8
0
8
8
16
16
0
8
1
8
0
24
2
0
16
16
16
8
8
8
4
8
16
0
24
24
0
0
0
0
0
0
0
0
0
0
0
0
0
24
24
24
8
8
16
8
0
8
8
8
32
32
32
8
8
4
9
9
8
8
45
8
1
0
1
1
1
1
0
16
16
16
16
20
8
8
0
8
16
16
8
8
8
36
32
0
16
8
0
16
0
0
0
24
8
8
2
16
16
16
16
16
16
0
1
1
1
4
8
8
8
24
0
0
0
0
0
8
17
0
33
0
0
0
8
8
12
0
0
0
0
8
4
4
16
16
16
16
16
16
4
4
8
16
16
8
0
18
8
0
0
18
0
0
4
32
0
1
1
8
8
8
8
8
0
8
0
0
5
48
1
32
0
16
25
16
16
4
0
8
16
16
32
0
0
8
16
16
16
16
16
0
8
20
32
0
0
16
16
4
24
0
0
8
18
18
16
4
16
16
0
8
8
0
0
8
8
16
16
1
1
1
1
0
0
0
0
56
56
0
0
16
16
0
4
4
4
4
8
8
8
8
4
1
1
1
8
8
1
10
8
16
1
2
8
1
1
0
0
0
0
0
0
16
8
8
8
24
16
16
16
16
8
8
4
0
0
2
8
0
0
0
24
24
24
24
24
24
24
8
8
16
16
8
8
8
16
4
4
1
1
8
8
4
4
1
1
1
1
0
16
16
16
16
2
2
2
0
0
0
16
0
32
0
28
28
0
0
8
8
0
0
20
20
20
0
0
8
8
8
0
4
4
0
8
8
8
8
8
16
16
0
8
2
2
8
8
1
1
8
32
32
4
8
8
16
16
2
16
16
16
16
16
0
16
2
2
0
0
16
16
0
8
8
8
8
8
0
14
14
16
20
20
16
16
1
16
16
16
19
19
8
8
8
9
16
16
16
16
16
4
1
8
8
4
8
16
18
18
2
0
8
8
0
8
12
0
8
8
0
8
8
8
1
0
0
8
8
8
0
16
16
0
0
0
8
1
1
1
1
40
16
8
8
0
0
0
4
0
8
8
0
6
0
0
8
8
8
8
8
8
8
8
8
16
0
4
20
20
0
0
4
1
0
9
25
2
0
0
8
0
8
8
8
8
8
8
18
18
8
8
8
8
0
25
2
32
0
8
12
2
2
1
1
1
0
0
16
0
0
2
0
1
1
1
1
1
1
0
8
7
8
8
8
0
0
1
1
4
1
1
1
8
8
8
8
8
0
0
16
8
4
0
36
36
0
2
9
9
0
8
8
8
8
8
0
2
8
8
4
4
8
8
26
0
2
2
2
16
16
8
8
8
0
0
8
8
4
2
0
0
0
0
0
1
8
8
4
16
16
0
8
8
8
8
16
16
16
27
11
16
0
16
16
8
4
0
0
16
8
8
12
12
12
4
4
8
32
0
0
0
6
16
16
16
16
22
0
0
1
16
16
2
8
1
1
16
4
16
16
8
8
16
8
8
8
0
2
0
0
8
8
8
8
8
0
0
0
2
1
1
32
48
16
8
0
4
4
0
8
4
4
0
0
0
0
4
0
0
2
1
1
1
1
1
1
1
1
0
0
0
0
0
0
1
1
2
2
8
0
0
0
0
0
0
0
16
16
16
0
16
16
16
16
21
16
16
8
8
16
8
1
1
2
2
2
0
0
0
0
2
2
2
18
18
18
8
4
24
8
24
8
8
8
0
4
4
9
8
1
16
16
1
16
4
16
16
16
16
16
16
4
16
8
0
0
0
0
0
0
0
26
26
0
8
8
8
8
0
0
8
4
4
8
0
16
0
0
1
0
8
8
8
8
8
8
16
8
8
16
2
8
8
8
8
3
8
8
8
0
0
16
8
24
0
16
16
16
16
16
16
8
8
8
16
16
0
8
32
32
32
8
8
8
28
8
16
24
16
16
16
8
0
0
0
8
8
0
0
16
0
0
0
0
0
13
8
2
8
16
16
8
8
8
8
8
8
8
0
8
8
8
8
24
16
0
16
16
16
0
0
20
20
4
8
8
8
2
1
1
27
0
0
20
20
0
4
0
33
8
1
1
1
8
8
16
16
16
26
48
0
9
1
1
8
0
8
12
0
8
8
8
8
4
4
8
8
8
4
4
24
16
16
6
6
6
8
8
8
8
0
1
1
1
1
1
0
0
16
20
8
8
8
16
16
8
0
0
16
16
8
0
0
0
2
2
8
0
8
8
8
0
0
16
16
8
2
0
0
0
0
0
8
0
8
8
8
8
8
8
8
8
8
0
8
8
8
8
16
16
8
0
0
2
4
0
0
4
4
0
0
0
8
8
8
16
4
0
24
16
16
16
16
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
4
16
16
16
8
24
16
16
0
0
0
0
0
0
1
1
8
8
32
8
8
8
40
0
8
8
8
4
1
1
1
1
1
1
1
1
9
16
0
1
1
1
0
35
34
2
2
16
24
13
13
4
4
4
17
8
3
3
3
5
0
8
8
16
8
8
4
0
0
16
16
16
24
0
20
20
20
1
0
4
8
8
8
8
8
8
4
4
4
16
16
16
2
2
2
8
8
8
8
1
1
8
8
4
4
1
8
8
8
4
8
12
4
0
0
2
1
2
2
8
16
16
8
8
0
4
4
8
8
24
0
4
4
8
8
8
16
16
16
0
16
16
16
16
16
16
8
16
16
2
16
0
8
8
8
0
0
0
8
0
0
32
8
8
0
0
0
8
0
4
0
0
0
0
3
0
7
0
8
2
2
2
2
8
8
8
24
24
24
24
32
8
8
4
8
8
8
4
4
16
16
16
8
8
2
2
2
2
8
8
8
8
8
8
12
12
8
8
4
17
0
0
0
0
19
19
4
4
0
0
0
2
2
2
2
0
8
8
8
0
16
16
16
16
4
4
0
8
8
8
8
8
0
8
8
1
1
1
16
16
4
8
8
0
16
16
24
24
0
8
1
8
8
8
0
1
1
1
1
1
4
4
4
4
4
20
20
20
20
16
8
8
8
8
0
40
0
0
16
4
8
0
32
8
8
8
8
12
8
0
8
8
0
0
8
8
0
0
8
0
16
16
16
8
8
8
0
0
8
8
0
0
0
0
0
12
0
16
16
16
8
8
0
24
8
8
8
0
2
2
2
0
16
24
1
1
1
1
1
1
8
0
0
0
0
0
16
8
16
16
16
16
8
8
16
16
8
16
0
8
8
8
16
8
8
0
24
24
24
8
8
8
8
8
0
22
8
0
4
17
17
16
8
4
4
16
18
8
24
8
8
8
4
16
8
8
8
2
8
10
2
2
16
16
4
2
2
0
0
0
0
0
0
8
8
16
4
4
4
0
48
8
0
0
0
16
16
16
8
8
8
0
8
8
8
0
32
2
8
9
0
24
0
8
8
8
8
4
4
4
4
4
4
4
0
1
1
1
16
16
0
0
0
0
8
16
0
0
0
0
0
0
0
8
8
8
8
8
2
8
8
8
0
0
8
8
8
9
6
6
2
16
4
8
0
8
8
1
0
6
16
16
16
0
16
4
0
16
4
8
8
8
0
0
0
4
25
25
16
8
8
8
8
8
8
0
16
16
0
0
8
0
1
0
0
2
2
16
12
8
4
20
4
4
0
24
8
8
4
16
16
8
8
8
0
17
8
4
40
42
42
42
42
0
8
8
8
24
8
2
8
16
20
0
24
8
8
8
0
2
2
2
2
2
2
10
8
8
8
8
2
0
0
0
24
8
8
8
8
8
8
8
8
1
0
1
2
2
2
16
8
8
8
8
8
0
8
1
16
16
8
8
0
4
16
16
1
8
8
32
32
9
24
2
2
8
4
8
8
4
16
8
8
8
8
4
2
2
2
0
16
2
8
8
8
8
0
0
0
4
4
4
22
0
1
1
4
5
5
0
20
0
4
4
0
0
0
4
0
8
0
0
0
0
0
0
0
8
8
10
16
16
16
1
1
1
1
1
1
0
8
8
8
8
8
16
24
16
16
16
16
16
0
0
20
16
8
8
8
0
0
20
20
0
16
16
22
22
22
22
22
22
12
0
6
4
4
0
16
16
20
16
0
0
0
8
0
0
16
8
8
8
16
0
0
0
0
0
1
1
1
1
28
20
20
8
24
8
8
8
8
8
8
8
8
2
16
0
8
8
8
2
2
8
8
8
8
0
2
4
13
0
0
0
0
0
8
8
8
8
8
8
8
16
16
16
16
16
0
0
8
8
24
8
0
0
0
24
4
0
0
0
0
0
0
0
18
18
18
0
0
20
0
16
16
16
16
8
8
8
0
8
56
4
16
8
8
8
8
16
0
0
0
2
0
0
0
0
8
8
8
2
0
0
0
16
16
4
8
8
8
8
8
16
16
32
8
32
8
8
48
8
16
16
0
0
8
8
8
16
2
8
10
7
4
4
0
16
16
16
0
0
0
8
8
9
8
8
8
16
6
2
8
8
8
8
0
4
8
8
8
8
16
6
6
16
16
16
16
16
21
21
53
53
53
53
53
0
0
1
28
8
0
16
16
16
16
0
0
0
0
8
2
12
8
4
4
4
4
0
16
8
8
0
0
8
8
16
2
25
8
24
4
20
0
0
0
0
0
40
0
4
0
0
0
0
1
17
8
8
2
0
0
0
12
0
16
16
0
0
8
8
8
0
4
4
4
8
8
0
0
0
8
8
8
8
8
17
2
2
8
16
8
8
1
1
0
8
0
16
0
5
5
9
9
9
8
0
0
0
0
3
16
16
16
16
8
8
8
0
0
4
4
4
24
8
8
16
16
0
4
4
4
8
0
0
0
8
8
8
8
8
8
8
8
8
8
8
4
4
4
8
8
8
8
1
0
18
18
18
16
0
16
4
4
3
3
3
0
19
19
4
4
4
4
1
17
16
0
16
8
16
0
16
63
63
3
12
12
4
0
8
16
0
8
8
1
1
0
0
9
9
9
16
16
16
16
4
4
4
4
1
1
16
16
20
16
2
2
8
0
4
1
16
17
0
8
8
8
0
16
16
16
16
16
16
0
24
24
0
8
4
4
4
4
4
9
0
8
4
16
1
16
8
8
8
8
0
16
0
8
8
0
16
16
16
16
8
24
24
24
24
24
24
0
0
0
16
0
1
4
8
8
0
8
8
0
16
8
8
16
16
0
0
16
16
16
16
16
16
16
8
8
8
8
0
0
0
8
0
0
0
0
0
16
16
8
8
8
8
0
2
8
8
7
16
16
8
8
0
0
8
8
1
0
0
2
32
0
0
8
8
8
0
4
4
4
16
1
8
0
0
8
24
24
8
0
0
42
20
20
8
8
8
8
8
8
8
16
16
16
16
16
16
16
8
8
8
0
16
8
8
28
32
32
32
4
4
4
4
4
4
8
8
8
8
8
8
8
0
0
0
8
1
1
8
8
8
16
16
16
4
0
16
8
8
16
16
16
8
8
2
2
2
8
16
16
16
16
24
8
2
0
0
40
16
25
7
4
4
4
24
4
4
4
4
8
2
2
2
2
2
2
2
0
0
11
2
0
8
8
8
8
16
8
16
12
8
12
8
0
4
4
4
8
8
8
8
8
8
8
8
0
0
16
8
0
16
8
8
0
0
0
20
16
16
16
16
0
0
4
4
0
8
8
8
42
58
8
8
0
0
8
2
18
16
27
27
0
0
0
8
0
2
8
16
16
16
16
16
16
16
16
12
0
0
0
0
0
0
8
50
50
50
8
2
8
8
8
8
0
9
0
16
16
16
16
16
16
0
4
4
16
0
16
0
32
8
8
0
0
0
16
16
16
16
16
16
2
17
8
2
2
18
26
8
8
16
16
16
16
16
16
0
0
4
0
0
0
0
8
8
8
0
2
16
16
16
0
8
8
8
8
0
0
0
0
0
0
8
0
0
0
16
8
16
20
16
16
0
0
8
8
48
0
4
20
20
0
2
32
32
0
0
4
0
8
16
0
4
20
0
1
1
1
8
0
16
36
0
0
8
0
8
8
8
13
1
4
8
4
4
4
4
4
4
4
0
16
4
4
4
8
0
0
0
0
4
0
0
0
0
0
0
0
0
0
16
0
0
24
4
0
8
8
8
8
16
16
8
16
16
8
19
19
0
16
0
0
4
4
4
0
0
0
0
8
8
16
8
8
8
8
8
0
0
0
0
8
8
0
0
8
8
8
8
8
8
8
8
0
16
20
16
16
16
8
8
8
0
0
0
25
8
0
0
0
16
0
16
16
8
8
8
8
8
0
1
1
1
8
8
8
8
1
0
0
0
0
8
8
1
1
1
8
8
0
16
16
24
8
8
8
8
0
8
1
8
0
0
0
0
32
32
32
0
8
34
16
1
1
1
1
2
8
8
8
8
8
8
0
0
0
4
4
16
8
16
16
4
4
16
16
16
16
10
2
16
0
0
0
17
8
8
8
4
4
0
0
16
16
6
6
1
1
0
0
16
16
16
16
16
16
4
16
16
16
4
16
16
16
16
16
24
24
16
16
16
8
8
8
16
16
16
8
0
1
1
1
1
16
16
16
16
16
8
8
6
10
10
10
8
8
8
8
0
0
1
1
32
32
0
0
4
2
0
7
7
8
8
0
6
0
2
0
24
8
8
8
8
0
0
0
0
0
0
0
0
21
2
9
8
0
0
0
4
0
8
4
8
8
4
4
6
0
0
16
16
16
16
16
16
0
0
0
8
16
16
16
8
0
16
0
8
0
24
24
24
8
8
0
0
4
8
8
8
21
4
4
4
4
4
0
4
16
8
8
4
4
4
0
0
41
32
8
0
0
8
0
0
0
0
0
8
8
8
8
8
8
8
8
8
2
2
7
57
0
8
0
0
12
8
8
0
0
1
0
16
8
8
8
8
8
8
20
20
1
1
8
8
8
8
8
4
4
0
0
0
0
8
20
0
8
8
8
8
8
30
0
33
8
8
8
12
12
12
12
8
24
24
8
8
16
16
16
16
12
4
4
4
0
0
0
0
0
8
0
16
16
4
0
16
16
0
0
16
16
16
8
8
8
8
8
8
8
8
8
0
8
8
8
4
4
4
4
8
8
8
8
8
1
1
36
8
8
24
16
62
0
2
0
0
0
8
8
8
8
8
40
8
48
48
32
2
2
0
0
16
32
0
0
4
20
4
0
8
16
0
16
24
16
16
4
8
16
16
8
8
8
8
8
16
0
8
2
32
20
4
8
8
8
8
8
8
8
8
8
0
8
8
1
8
8
1
0
0
18
18
18
18
0
0
16
16
24
24
0
0
13
13
8
1
1
0
0
17
17
17
17
17
1
1
0
0
0
2
8
2
2
8
8
1
1
1
1
1
24
16
0
3
3
3
0
20
20
8
8
16
16
1
50
0
16
16
4
0
0
8
0
0
16
16
2
2
8
8
1
1
1
1
1
1
1
1
0
0
0
0
2
2
2
16
18
0
0
0
1
17
1
8
8
8
8
16
16
16
8
4
8
8
0
17
16
0
4
4
16
16
16
40
40
8
8
16
16
16
16
16
0
0
0
12
8
0
8
8
8
0
16
16
16
16
16
0
16
4
16
0
0
0
8
8
8
8
4
0
0
18
1
1
1
2
8
0
0
0
0
0
0
0
0
0
4
4
2
0
0
0
0
0
16
2
0
0
0
0
0
8
8
8
8
8
8
8
48
16
8
12
8
2
24
24
16
8
16
2
2
0
0
0
0
0
16
16
24
8
8
16
16
2
8
0
8
8
0
16
16
20
16
0
0
9
16
0
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
4
16
16
8
8
8
0
4
4
2
2
12
16
0
0
36
1
1
1
1
9
8
8
8
2
2
2
2
2
20
4
8
8
0
28
24
4
5
0
0
8
1
2
18
16
8
16
24
8
16
0
0
0
0
0
8
8
8
8
32
0
0
0
8
8
8
0
0
0
2
2
8
8
8
8
8
8
2
16
16
24
8
8
8
8
8
16
8
8
8
8
8
8
8
8
4
0
21
5
16
4
4
4
4
8
8
0
0
16
1
1
1
0
0
0
0
16
24
8
8
8
12
12
12
0
0
0
8
8
0
17
1
8
0
0
1
4
4
0
8
8
16
16
16
8
18
18
18
16
16
16
0
9
8
8
8
20
20
0
2
16
8
8
0
1
1
1
1
0
0
0
0
8
8
8
8
24
8
1
0
16
16
16
4
4
4
4
0
32
32
0
0
20
8
8
0
0
8
8
8
8
0
0
0
0
10
8
2
2
4
4
4
0
0
8
0
0
16
16
2
0
0
0
0
0
16
16
16
8
8
0
8
8
8
8
8
8
8
8
8
8
8
1
8
1
0
0
12
12
0
0
4
16
16
16
16
0
0
0
0
0
0
0
0
0
0
16
16
16
40
0
4
4
4
0
1
1
39
8
0
2
10
8
24
24
18
18
18
0
0
0
2
16
16
16
16
8
1
18
2
2
0
8
8
8
8
8
24
1
9
0
0
16
16
4
0
0
8
8
8
1
1
1
8
8
8
24
24
8
8
8
8
16
16
0
8
4
8
8
1
16
8
0
8
32
32
32
8
0
20
8
8
24
1
4
4
4
0
0
0
0
1
0
0
0
0
8
8
0
0
4
16
24
24
24
0
0
0
2
2
24
0
0
0
0
0
18
16
16
16
8
1
1
1
1
0
0
1
32
4
4
6
4
0
0
0
0
0
0
21
1
1
1
1
16
0
16
16
16
0
16
0
0
0
1
1
16
8
0
0
0
0
0
0
0
0
8
8
17
17
32
8
8
8
0
4
8
12
8
4
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
5
7
5
16
24
8
8
4
4
26
8
8
0
16
16
0
3
0
0
17
17
0
4
16
0
2
2
16
12
1
0
0
0
0
0
0
0
8
8
8
0
0
17
8
8
0
24
24
0
8
34
8
16
8
4
4
8
8
0
0
0
32
32
32
0
24
8
8
8
32
32
32
16
16
8
8
8
8
8
27
1
1
0
8
8
8
4
4
0
0
0
0
0
0
0
16
8
8
8
0
16
2
2
9
9
9
9
1
1
1
8
32
2
2
2
1
0
0
8
8
22
18
0
16
8
0
0
0
0
6
6
6
1
3
3
56
56
8
0
0
8
4
8
34
2
16
16
16
1
16
1
1
32
32
16
16
8
8
16
16
8
8
0
0
0
0
0
0
19
19
0
0
0
0
0
0
0
16
0
1
12
8
0
1
8
8
8
8
8
8
1
8
16
4
4
16
16
16
8
4
0
0
0
0
0
16
16
16
16
8
0
9
9
0
8
8
8
0
0
8
8
16
0
0
32
0
16
4
4
2
32
0
8
8
8
8
8
8
0
1
1
2
2
0
0
0
4
4
37
4
24
8
8
0
0
8
8
8
2
8
8
8
8
8
8
8
6
8
16
0
0
0
0
0
0
16
16
16
8
8
24
16
16
16
16
8
34
0
16
8
8
0
1
0
4
4
8
4
8
2
8
2
8
8
8
52
52
0
0
0
0
2
4
4
16
0
8
8
8
0
4
12
8
0
8
16
16
1
1
1
9
2
2
2
2
2
2
8
8
0
24
1
16
8
4
4
24
8
8
8
8
8
8
8
0
0
0
4
0
0
16
16
24
0
8
24
16
16
16
16
16
8
3
0
0
8
8
16
1
1
8
8
1
17
16
16
0
24
8
8
4
32
0
0
2
2
2
24
24
8
8
8
8
8
8
0
0
8
24
24
24
24
24
24
24
24
24
24
24
24
2
2
2
0
8
8
8
0
16
8
0
0
20
0
0
0
0
0
0
0
13
8
0
0
8
16
16
16
16
16
16
0
0
8
8
16
16
8
8
8
8
8
0
8
0
1
1
1
4
0
0
0
0
16
16
16
16
16
2
8
22
8
8
8
1
1
1
1
0
8
8
0
0
0
4
16
16
16
0
32
0
4
4
8
8
1
0
18
0
17
17
0
8
8
8
8
0
2
2
2
0
0
18
0
2
4
4
0
0
4
4
4
8
0
1
0
32
0
2
2
4
8
8
16
16
16
16
8
8
16
24
16
8
16
16
8
0
16
2
2
16
16
0
10
0
8
8
8
16
16
16
0
0
0
0
32
32
32
32
16
16
0
0
16
8
8
8
8
0
0
16
8
16
16
16
8
24
24
24
16
16
16
16
16
5
57
1
1
1
1
1
1
1
1
26
4
4
4
2
16
16
16
16
16
16
16
16
16
16
5
4
4
4
8
8
4
16
16
0
40
0
1
2
8
8
32
0
0
4
25
25
25
8
32
8
8
8
8
8
8
0
0
16
8
8
4
4
0
0
8
1
16
16
16
2
16
2
0
24
24
2
2
1
1
1
8
8
0
4
4
57
16
16
16
0
10
10
16
0
20
20
20
20
0
12
12
25
12
0
0
0
0
0
8
0
0
0
0
0
8
8
8
4
4
16
0
8
8
2
2
8
2
24
11
2
4
0
8
16
16
16
16
16
16
0
1
1
1
1
1
1
0
8
8
8
0
8
8
0
0
0
8
8
8
8
8
8
8
0
16
8
8
21
21
63
17
17
8
8
0
0
2
0
0
0
16
8
16
16
16
16
16
16
16
16
16
8
0
0
0
8
8
8
8
8
16
8
8
0
0
0
20
20
16
16
16
4
0
1
20
16
20
0
0
4
4
4
4
8
8
0
1
1
1
1
1
1
1
16
8
8
8
9
0
0
0
0
0
0
0
16
24
16
16
16
1
8
8
8
0
0
0
8
8
24
24
24
8
8
0
8
8
8
0
0
32
32
8
4
4
4
16
16
16
4
4
20
20
20
20
0
0
0
4
4
8
4
8
16
16
8
8
8
8
0
0
8
8
24
8
8
8
16
0
8
8
8
8
1
1
8
8
8
0
0
0
0
16
8
8
24
24
24
16
1
1
1
4
0
1
9
0
28
28
32
12
2
2
16
8
0
0
8
24
24
24
24
24
16
16
1
16
16
16
16
16
16
4
16
24
16
16
16
16
16
0
24
8
2
8
8
8
8
8
8
16
24
0
8
16
16
16
16
0
8
8
8
1
1
8
8
8
8
8
8
8
8
8
8
8
8
16
16
17
16
16
8
8
8
16
28
4
0
1
1
16
16
16
0
0
0
0
8
0
4
8
8
8
8
8
8
4
4
4
0
2
8
10
0
2
8
8
0
8
8
16
4
16
0
0
17
0
0
0
20
0
5
0
0
1
9
1
1
4
4
20
0
8
1
16
4
16
16
1
1
8
9
8
2
2
2
8
8
41
2
16
4
8
8
0
0
0
0
0
0
0
0
0
0
8
0
4
16
16
16
8
16
9
9
8
8
8
8
8
16
4
5
5
4
4
4
0
33
1
1
8
1
0
0
0
6
6
2
2
8
8
16
24
8
8
0
0
0
8
8
0
10
10
2
0
16
0
0
16
16
16
4
0
0
8
0
2
0
0
0
0
0
0
0
1
2
2
2
0
16
0
0
4
2
4
0
0
32
32
32
32
32
0
16
8
4
0
0
16
8
8
0
0
8
8
8
2
1
0
0
8
24
0
0
8
0
40
32
8
4
4
1
0
8
1
0
0
0
0
0
0
34
2
2
0
0
0
0
8
26
26
26
16
32
32
16
16
16
0
16
8
32
8
8
8
8
0
0
0
3
8
8
8
16
8
8
6
6
6
6
0
8
24
24
24
0
0
1
4
4
21
0
0
0
2
16
0
8
8
8
0
0
0
0
0
0
0
0
8
16
18
0
0
8
8
8
25
0
0
16
8
8
8
8
0
16
0
0
0
0
0
0
0
8
0
16
16
0
0
7
6
16
0
0
0
10
10
7
3
3
1
1
1
16
16
4
4
4
16
2
2
2
2
8
0
8
8
8
8
8
16
16
6
6
6
6
20
19
0
8
8
8
5
4
8
8
1
25
1
24
0
0
8
8
8
0
0
0
0
0
4
4
8
4
4
12
0
0
2
2
24
24
24
8
8
16
16
8
8
0
8
41
1
8
4
16
0
0
5
5
5
8
8
8
48
48
48
16
16
1
0
1
1
0
0
0
16
4
4
4
8
12
12
0
16
16
8
8
0
4
4
4
8
8
8
24
16
16
16
0
2
2
0
0
0
16
0
4
8
8
8
8
0
2
0
0
4
8
8
8
9
9
9
9
16
16
16
16
25
1
16
0
16
0
16
16
16
16
18
18
0
16
16
0
0
2
8
8
8
0
8
8
0
16
16
0
0
16
8
32
32
8
8
4
4
1
1
9
1
1
1
1
16
16
0
0
0
32
0
16
16
4
4
4
4
16
0
0
0
16
2
2
8
8
8
8
8
8
8
8
8
16
16
16
16
16
0
4
4
4
4
59
0
0
8
24
16
16
16
8
0
8
8
8
0
0
0
4
33
16
16
40
8
2
2
16
16
16
16
16
0
4
0
8
24
24
16
16
16
2
8
8
8
8
16
16
28
8
8
8
8
8
8
8
8
8
8
8
8
20
4
0
0
0
0
0
16
16
3
3
3
0
8
1
1
1
0
0
0
12
12
8
8
8
8
0
0
2
2
2
0
16
16
2
16
16
16
16
16
56
56
0
4
4
4
0
16
8
1
0
8
0
8
8
0
0
0
0
20
4
4
0
0
0
0
16
24
8
1
1
1
1
1
16
16
0
16
16
8
0
0
0
4
0
0
8
8
8
25
4
8
1
1
8
8
8
0
8
0
8
8
8
0
44
60
4
0
0
8
0
8
0
0
8
8
0
8
8
8
8
8
13
1
1
8
8
8
8
8
16
2
16
16
16
16
8
8
8
20
20
0
0
0
0
0
16
16
16
16
16
8
16
8
0
16
22
8
14
8
2
1
16
16
8
8
0
4
16
16
16
16
1
1
1
1
1
0
0
16
8
11
11
16
16
16
16
2
26
26
8
16
8
0
4
8
16
16
16
24
24
0
8
8
8
16
16
16
18
16
2
18
0
8
20
0
0
0
0
0
8
8
0
0
16
16
16
16
1
8
8
0
0
24
8
0
0
8
8
8
8
0
8
20
20
8
24
24
0
0
8
8
2
2
8
8
8
16
16
16
16
0
0
0
8
8
8
8
8
9
1
16
0
0
17
0
4
4
4
32
32
32
32
32
32
32
32
32
32
32
32
0
0
0
8
8
8
2
2
2
2
16
16
16
18
18
8
16
24
24
55
2
0
20
8
8
16
16
4
18
18
17
56
8
16
8
8
3
3
8
28
1
1
0
0
2
8
16
16
8
8
8
0
0
1
1
0
0
0
8
8
16
2
16
16
16
16
16
16
16
16
16
8
0
4
8
8
8
8
8
8
8
16
9
1
1
1
1
16
16
16
16
16
16
16
16
16
57
16
1
16
8
8
8
8
8
8
8
0
16
16
8
24
0
0
0
0
8
8
8
8
0
8
8
8
8
0
0
0
4
20
12
12
8
16
18
18
0
32
32
32
16
32
32
32
32
32
32
32
1
1
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
16
1
16
2
18
18
1
16
16
32
2
8
8
2
2
0
0
8
8
8
8
0
0
16
16
16
16
0
0
2
0
19
20
52
52
0
16
24
2
0
0
16
16
16
8
20
0
8
8
8
12
30
18
1
0
0
16
8
8
8
56
48
8
4
4
8
0
4
4
4
10
10
10
10
10
8
4
4
4
8
0
0
28
28
0
0
0
0
8
8
24
24
8
16
24
8
8
8
8
8
8
8
0
0
12
12
4
0
0
0
0
1
1
1
1
1
1
17
2
2
2
2
2
2
2
2
8
8
0
16
1
1
16
16
16
8
8
0
8
8
8
0
8
8
8
0
12
8
8
8
8
8
8
0
16
0
16
16
16
16
16
8
8
4
16
1
1
8
8
8
21
21
21
21
16
16
16
8
0
2
16
16
16
16
26
10
2
2
4
4
16
16
0
20
16
16
16
4
21
2
2
0
0
4
4
4
0
0
1
1
1
1
16
16
16
16
0
4
0
9
9
0
4
17
0
0
8
8
4
0
8
60
28
0
8
8
8
0
8
8
8
8
0
2
2
2
1
17
1
8
8
8
2
8
8
8
0
16
16
0
0
1
16
4
9
2
2
2
0
0
0
0
0
8
8
8
0
0
0
1
4
8
0
0
0
8
8
21
0
24
24
48
8
8
8
8
8
0
0
8
8
8
0
8
0
0
0
0
24
8
0
0
4
0
0
8
8
8
0
0
0
2
8
20
8
8
8
24
16
16
0
0
8
16
8
8
8
8
16
0
0
0
8
0
0
0
16
16
16
16
8
16
16
8
16
16
4
4
20
4
4
12
4
16
8
5
5
12
1
2
2
16
16
0
0
0
16
16
25
25
1
1
4
35
8
5
0
8
16
16
0
16
16
16
24
8
8
16
16
0
8
8
58
0
8
8
8
4
8
8
8
8
16
20
0
4
4
4
4
4
4
16
0
0
0
0
4
12
8
4
4
0
32
16
16
16
8
8
12
8
8
8
2
0
0
0
0
25
25
0
0
0
8
0
19
0
0
0
16
6
6
6
6
6
6
6
12
8
8
8
8
16
16
16
8
8
2
8
16
16
16
16
16
16
16
16
0
18
18
2
0
0
4
4
8
16
16
1
0
16
0
8
2
2
2
16
2
16
1
16
4
0
8
4
4
9
9
9
9
0
0
0
0
0
0
16
0
0
0
16
16
24
32
0
0
8
0
16
24
16
16
16
16
8
8
8
0
0
0
0
8
8
8
8
8
0
0
6
0
0
0
4
4
8
8
17
0
8
8
0
8
16
9
1
1
1
0
0
20
16
16
16
0
0
8
8
8
16
16
16
0
0
0
0
17
0
8
8
8
8
16
16
16
12
4
4
4
48
49
49
0
8
0
0
0
16
16
8
0
0
8
8
8
8
36
36
4
4
4
16
8
8
16
8
8
0
8
8
8
8
8
32
17
17
17
8
8
2
2
16
16
16
16
24
4
4
24
24
24
24
24
24
24
20
2
0
16
16
16
16
16
8
8
8
0
8
4
4
4
16
16
8
8
1
0
16
16
0
16
0
8
9
9
9
8
8
16
1
1
31
8
1
1
16
16
16
4
8
8
2
0
1
24
16
16
16
0
0
0
26
0
4
4
4
24
25
25
16
16
16
0
18
18
0
34
8
8
0
8
0
1
1
1
1
8
2
2
34
34
34
57
0
0
0
0
16
8
8
8
0
0
16
16
0
9
9
1
8
0
0
0
0
16
8
16
8
24
16
8
8
16
4
4
4
4
4
4
8
8
0
0
16
0
4
20
20
8
8
8
0
0
5
5
0
8
8
8
0
4
16
16
16
0
4
0
0
8
8
8
0
0
16
1
17
17
8
8
16
16
20
0
0
16
56
56
0
8
8
8
0
8
8
8
0
1
1
1
8
8
0
0
0
8
8
0
8
8
0
21
8
8
16
8
8
8
6
8
0
0
0
0
0
0
0
0
24
8
8
8
16
8
8
0
10
0
8
8
8
8
16
16
4
1
1
0
8
45
45
45
0
2
0
0
0
0
0
0
8
8
8
8
8
8
8
8
0
0
16
16
4
4
4
4
1
9
8
4
4
4
8
12
12
33
8
8
8
8
4
4
8
16
16
24
8
8
8
8
16
6
16
0
0
0
3
2
0
0
8
4
4
4
4
10
10
10
10
24
0
8
8
0
0
0
16
8
8
8
8
8
8
0
0
0
0
0
8
0
24
1
24
40
4
19
0
0
9
10
9
9
9
0
4
4
16
8
8
8
0
0
4
4
4
0
0
0
6
6
2
0
0
61
8
8
20
20
20
0
0
32
4
4
0
16
24
0
0
0
0
0
0
0
4
4
0
16
16
16
0
0
16
8
24
16
0
28
28
16
16
8
2
2
2
8
0
0
0
0
0
0
0
16
16
16
8
8
8
8
8
8
8
8
8
0
8
8
0
0
0
8
4
4
0
0
2
2
4
4
4
4
0
0
0
8
0
8
8
8
8
8
24
16
8
20
2
2
2
18
0
1
8
8
8
0
8
8
0
10
16
8
16
16
16
0
8
8
8
4
4
4
8
8
9
9
9
20
4
12
8
16
4
4
1
8
8
8
8
8
18
0
0
0
8
8
8
4
4
0
6
4
16
24
0
24
8
4
4
4
1
4
4
4
4
0
0
0
0
0
8
0
0
0
2
24
2
0
0
0
0
0
0
0
0
4
20
8
8
8
28
1
1
17
1
1
4
4
4
4
16
16
16
8
8
4
16
0
0
0
8
8
16
16
16
8
8
8
0
0
8
0
0
0
0
17
25
1
1
1
4
4
32
16
1
17
0
8
8
0
1
16
16
40
8
1
0
40
0
1
3
4
3
3
16
0
0
1
1
4
4
4
8
16
4
5
4
4
36
2
2
2
8
8
8
8
2
0
8
8
0
8
8
16
16
16
0
4
4
4
4
4
4
4
21
0
0
4
4
4
0
0
0
4
4
4
4
4
4
4
4
4
4
0
0
0
0
16
16
8
8
1
2
16
16
8
1
1
0
8
8
8
24
16
4
20
20
20
16
6
8
2
8
16
16
8
8
0
0
0
0
8
0
4
0
0
0
0
4
4
8
0
0
0
0
0
0
0
8
8
16
16
16
16
16
16
8
8
8
8
8
0
16
2
1
8
4
0
9
16
16
16
16
16
16
16
16
4
16
0
0
0
28
1
37
0
9
9
9
4
0
0
3
3
3
16
24
8
1
8
8
8
8
8
0
8
0
4
4
0
32
32
0
0
8
8
8
8
8
16
56
8
8
8
8
8
16
16
33
6
2
16
0
24
16
16
16
16
16
16
2
2
2
0
8
8
8
8
8
8
8
8
4
4
0
0
24
8
0
8
8
20
4
4
8
8
16
16
16
0
8
0
0
0
1
0
0
9
8
8
8
0
2
6
6
16
0
8
16
16
16
16
16
0
0
16
16
16
0
0
2
16
16
16
57
0
0
1
16
30
22
1
1
0
8
8
0
16
2
2
8
17
17
16
16
0
1
8
8
16
16
4
4
0
0
4
1
1
0
16
0
12
16
0
16
16
32
2
8
8
8
8
8
0
0
0
6
0
8
8
0
4
16
16
16
8
8
8
16
16
0
16
16
16
0
0
8
8
8
8
8
8
8
0
0
1
1
0
0
8
2
0
24
24
16
8
8
8
8
8
8
32
8
8
8
8
4
1
8
8
8
8
6
0
0
2
2
2
8
0
4
8
8
8
40
8
8
1
4
16
16
16
1
1
1
1
0
0
0
17
16
50
8
18
18
8
8
8
16
4
0
0
16
0
5
5
5
0
0
0
0
0
0
16
1
1
30
0
0
16
16
8
3
0
2
2
2
2
10
16
20
0
0
8
0
0
8
11
8
8
8
8
8
8
1
1
16
16
8
8
56
0
4
16
16
0
0
20
20
20
20
20
20
0
0
0
0
0
0
16
16
16
4
4
8
8
8
8
8
8
8
8
0
8
8
16
16
0
14
12
12
16
16
16
8
0
25
8
4
4
0
8
8
32
8
8
8
0
0
0
0
0
0
57
0
8
8
8
0
16
0
8
8
8
8
8
8
16
24
1
8
4
8
8
8
16
5
5
5
8
8
8
8
0
0
8
8
8
8
8
8
0
0
8
8
8
8
0
0
8
8
0
16
16
0
2
9
4
4
2
0
8
16
16
8
8
8
8
24
24
0
0
24
0
2
2
32
0
4
4
6
12
8
8
8
0
0
0
4
4
4
2
8
8
16
0
1
1
0
8
8
16
20
0
0
0
16
2
2
2
2
2
2
5
5
5
0
0
0
0
16
2
1
1
1
1
1
0
0
0
1
48
48
48
48
48
48
48
0
0
0
8
8
8
8
0
0
16
16
16
8
8
8
16
16
8
0
0
0
0
8
0
1
1
16
16
16
16
0
4
4
4
0
0
2
2
16
16
16
8
0
16
16
1
1
16
1
8
8
8
0
0
1
1
0
24
24
16
16
16
1
1
0
0
0
1
0
0
16
16
16
16
16
16
16
0
0
0
8
8
8
8
8
8
8
8
8
18
8
2
2
2
0
16
16
16
16
0
0
0
0
0
4
4
4
0
2
2
8
0
0
0
0
32
32
0
0
17
1
16
0
0
0
0
0
1
1
0
0
2
0
8
8
0
2
2
1
2
0
8
8
8
2
2
16
26
1
27
17
17
0
0
0
0
0
10
10
10
4
8
8
8
0
0
0
32
32
0
8
8
8
16
0
4
4
2
0
8
8
0
0
0
24
1
4
4
24
8
0
16
16
32
0
0
0
16
0
0
0
0
4
4
4
4
8
32
32
18
4
8
8
8
8
21
16
0
8
8
16
16
0
8
8
8
9
9
4
4
8
8
8
8
0
0
0
1
8
8
8
4
16
16
16
0
0
24
8
8
8
8
8
8
10
0
0
0
0
0
17
8
8
8
8
8
8
8
8
8
8
16
16
16
0
16
2
8
4
8
0
4
8
8
24
12
12
12
4
4
4
4
8
2
2
2
2
28
8
8
8
8
5
5
5
5
0
9
0
0
0
8
8
8
8
16
16
16
25
0
0
0
0
0
8
8
8
16
16
16
0
0
0
0
1
0
0
16
8
8
8
16
16
16
0
0
0
2
2
24
0
4
39
0
0
6
0
0
16
16
32
1
8
16
0
0
16
16
1
1
8
8
4
16
16
10
10
0
4
4
2
20
22
22
22
1
0
8
8
1
4
1
1
1
1
1
1
1
1
1
8
0
0
0
8
8
8
52
0
0
32
32
4
0
16
16
2
18
16
8
10
10
0
22
8
9
8
0
0
0
8
16
16
16
16
16
2
0
0
16
16
16
16
1
8
41
8
8
24
50
0
0
0
8
0
2
16
0
0
2
2
0
2
8
8
0
49
49
49
32
2
2
2
2
2
0
8
8
8
8
8
8
8
8
8
32
8
8
8
8
8
2
2
0
16
0
16
48
0
8
8
8
8
8
4
32
16
16
16
16
16
16
16
16
16
16
16
16
8
16
16
8
8
2
24
8
8
8
8
0
32
32
32
8
8
8
2
8
40
4
32
1
16
0
16
16
0
8
16
2
16
20
20
4
4
4
8
8
1
1
8
12
8
16
0
8
8
16
16
4
12
8
0
16
16
8
0
8
8
8
0
16
8
0
0
0
8
8
0
13
8
8
8
18
1
1
1
1
1
1
1
1
18
18
16
16
16
1
24
8
8
8
4
0
0
0
16
16
16
0
0
0
0
8
36
36
36
0
8
16
0
0
0
0
0
0
0
0
0
0
8
16
8
8
8
24
24
24
4
1
1
24
24
24
24
0
0
16
16
8
8
8
16
16
16
8
0
0
8
8
6
6
8
8
8
8
2
8
0
0
0
16
8
8
4
4
0
16
8
0
0
1
0
16
8
8
0
16
16
16
8
8
10
0
0
0
0
0
16
16
16
16
1
8
21
21
21
38
20
16
16
8
8
0
8
8
8
4
4
8
8
8
40
8
8
0
0
0
16
8
8
2
2
2
16
0
0
0
0
0
0
0
9
8
0
8
8
8
8
8
8
8
10
0
8
8
8
8
8
0
4
4
4
0
0
8
8
8
8
8
8
8
8
6
6
24
24
0
1
1
16
16
16
4
16
16
16
32
8
8
9
0
8
8
8
8
17
16
16
0
4
4
4
4
0
0
0
16
24
1
0
0
0
0
24
24
24
4
0
0
17
17
0
0
17
17
0
0
24
1
1
0
0
0
0
0
0
8
8
8
8
8
0
0
0
0
1
12
0
16
16
0
0
0
0
0
0
8
8
8
8
0
0
1
1
0
0
16
25
0
8
0
24
8
8
8
8
0
8
8
16
32
8
8
8
8
32
8
8
8
0
8
2
8
8
0
0
0
0
0
0
0
4
8
8
16
0
36
0
16
16
1
0
7
2
0
4
20
9
8
8
8
8
32
4
4
4
0
24
8
4
8
8
8
1
1
16
24
8
0
0
8
9
9
0
16
16
16
20
4
2
2
2
2
2
2
24
16
4
0
0
0
4
20
22
0
0
1
0
0
0
8
16
16
0
12
16
8
24
8
0
4
4
4
25
25
1
1
16
0
4
0
0
0
0
0
2
8
8
8
8
0
8
0
0
0
0
16
16
0
0
0
14
4
16
8
8
17
17
17
0
0
12
12
16
0
0
0
4
0
0
0
0
8
8
8
8
8
30
4
8
8
16
16
8
8
0
8
0
0
0
0
8
4
0
0
0
8
0
16
1
16
0
0
0
8
2
8
4
8
8
8
1
2
2
16
16
16
0
0
16
8
16
0
0
24
24
8
0
0
0
8
1
0
8
8
24
24
20
0
8
8
8
1
1
1
1
1
2
2
16
16
0
0
8
8
4
4
4
0
0
8
8
8
16
8
0
16
16
0
0
0
0
32
32
4
4
4
16
16
16
1
0
0
1
0
0
2
0
0
16
16
0
2
2
8
16
16
16
16
8
8
8
0
0
8
8
8
0
4
4
0
8
8
0
0
0
0
8
4
20
4
0
0
0
20
20
4
0
8
8
9
1
0
16
16
21
7
4
4
4
8
1
0
60
8
0
8
8
0
0
0
0
0
1
16
16
16
8
1
1
18
1
0
0
44
4
4
13
13
13
8
8
8
0
0
0
0
16
16
8
8
19
18
24
24
24
8
8
16
16
24
0
56
32
0
0
16
16
8
8
0
0
0
8
2
1
1
1
1
1
1
1
1
20
20
20
0
0
4
4
4
4
8
8
0
0
0
0
0
0
0
2
8
8
8
1
1
1
1
0
0
8
16
16
8
8
16
16
4
13
0
17
17
0
0
16
8
8
0
0
8
8
17
0
0
8
8
0
0
0
0
0
0
16
16
16
16
4
4
8
0
0
16
16
4
4
4
4
2
2
8
1
1
1
1
0
8
8
16
0
16
16
16
0
0
8
16
16
4
0
9
9
0
0
24
25
25
0
0
0
0
0
18
8
8
8
1
5
5
16
16
0
0
0
0
0
9
0
0
8
8
2
0
0
24
7
39
32
16
0
6
0
0
24
8
16
8
0
0
22
22
36
8
8
8
8
4
0
0
0
0
16
16
16
16
16
16
0
40
8
8
0
16
0
49
49
0
8
0
4
4
0
4
0
16
4
8
8
8
8
0
0
8
0
17
8
8
8
8
16
16
16
8
8
1
1
1
0
0
4
4
4
4
0
24
0
0
8
6
2
0
0
0
0
0
16
16
16
16
0
8
8
8
9
0
0
0
8
16
16
16
16
8
9
4
4
4
4
0
0
8
8
8
8
8
8
0
32
32
32
0
8
8
16
32
8
2
2
2
2
2
4
2
0
16
16
0
16
16
16
16
16
16
21
21
8
8
18
4
4
4
16
0
8
8
9
9
16
16
4
16
8
1
0
0
0
16
2
8
0
0
28
28
28
28
4
0
4
0
0
0
2
32
2
0
16
0
0
8
8
8
8
0
0
8
8
8
16
16
16
16
16
16
4
16
16
16
16
16
16
16
16
16
16
4
8
8
8
5
4
0
0
0
20
21
1
1
1
0
0
0
8
8
8
8
8
0
0
8
16
16
16
16
16
16
8
0
16
16
8
8
8
0
16
9
9
8
60
8
8
2
8
8
8
8
0
16
16
16
18
16
8
16
16
16
4
8
8
1
9
8
1
1
1
16
18
16
16
0
16
0
8
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
4
4
4
4
8
8
19
4
24
2
2
0
0
0
0
0
8
8
8
8
8
16
0
0
16
4
8
2
3
24
32
32
20
20
20
0
8
8
1
1
1
8
8
0
0
0
0
16
16
0
16
0
2
8
8
1
1
16
16
16
0
0
0
0
2
19
24
0
0
0
0
0
8
16
16
0
4
8
8
0
0
16
12
0
0
8
9
0
0
4
18
18
16
8
8
8
8
0
0
8
8
0
0
8
8
0
16
16
8
8
8
0
8
0
0
0
0
0
20
20
20
1
2
10
10
8
8
16
8
2
17
0
0
16
0
8
2
2
8
8
8
0
8
8
8
8
4
8
0
1
1
16
4
4
8
8
0
0
16
16
4
4
4
16
8
8
8
16
16
16
8
8
8
0
1
1
8
8
8
8
8
22
22
22
22
0
8
8
0
0
0
36
36
36
36
16
24
24
24
24
24
24
8
8
0
16
8
12
1
16
16
0
2
2
16
16
16
8
8
0
8
8
8
8
16
8
8
8
8
0
0
0
36
32
8
8
8
8
16
16
4
0
16
16
16
0
0
0
0
0
0
0
0
0
0
4
0
0
0
16
16
0
0
16
12
0
4
4
4
8
20
16
20
0
8
8
8
8
8
8
8
8
8
8
8
8
0
0
8
8
8
8
8
8
8
0
1
1
8
8
42
10
16
4
4
12
16
16
0
0
0
0
1
1
8
4
4
16
16
0
8
8
12
12
4
2
0
24
4
4
0
16
11
8
1
1
1
1
1
8
2
2
17
4
4
22
4
4
6
6
4
4
4
0
0
16
18
18
16
0
0
16
16
16
8
0
0
8
8
9
8
8
8
24
8
8
8
8
8
8
8
8
8
24
24
16
0
0
16
16
0
16
16
1
0
8
8
8
0
0
32
0
8
0
0
0
8
8
8
8
16
16
16
0
4
8
8
32
17
17
17
4
4
4
8
8
8
4
4
4
4
8
8
9
1
32
8
8
16
8
8
8
8
8
32
32
8
8
8
8
0
0
16
8
8
8
9
9
9
48
20
8
4
8
0
0
8
8
8
8
8
8
8
0
24
16
16
8
8
8
0
8
0
0
4
16
0
0
0
2
38
16
16
8
8
17
4
4
0
0
1
1
1
1
16
16
16
8
8
16
57
0
8
0
0
0
0
0
0
8
16
8
56
8
8
32
0
0
0
0
0
0
0
0
0
0
0
18
18
16
16
1
2
8
8
8
8
8
8
16
0
8
10
8
16
16
16
16
0
8
0
8
8
52
52
52
52
52
28
12
0
0
0
0
16
16
16
0
0
0
16
16
16
16
16
16
16
16
16
8
8
8
8
8
8
8
16
20
20
8
12
8
0
4
4
4
1
0
0
8
8
8
8
24
24
24
24
24
24
8
16
4
4
4
0
0
16
16
16
8
8
0
8
8
8
8
2
16
16
16
16
16
16
4
4
4
0
0
16
24
8
8
8
8
0
0
16
16
2
2
2
10
12
21
21
8
8
16
20
0
0
0
0
25
16
1
1
1
8
8
8
8
8
16
16
16
4
4
4
8
24
8
8
8
0
16
4
4
4
8
8
8
8
8
8
4
4
0
8
8
8
0
0
1
1
1
4
4
16
0
1
1
1
4
16
16
16
58
58
8
0
2
2
16
16
8
8
8
0
0
8
8
8
8
8
1
1
24
24
0
0
0
8
8
0
8
8
0
0
0
0
0
8
4
4
4
4
4
4
4
24
24
1
2
2
8
8
8
1
16
16
0
4
0
0
0
8
8
8
9
8
0
0
1
1
1
1
0
8
8
4
4
12
12
8
8
8
8
8
2
2
16
16
8
8
8
8
8
16
0
16
16
1
0
0
16
24
8
8
0
8
0
0
0
0
16
16
0
0
0
16
16
16
0
1
0
12
28
28
8
0
16
16
16
8
8
8
8
8
0
8
8
0
0
0
0
0
4
8
2
4
4
0
0
0
0
4
4
4
4
8
8
8
0
0
0
0
0
3
0
8
28
4
12
12
14
8
8
59
59
0
0
0
0
0
16
1
1
0
0
0
5
4
4
4
8
24
1
0
8
8
1
16
16
8
8
24
12
24
24
4
4
12
12
4
8
8
8
0
16
8
8
8
8
8
8
8
8
0
0
0
8
8
8
8
0
0
0
0
0
1
0
0
0
0
0
0
2
2
0
0
20
4
0
10
10
10
0
16
16
16
16
4
4
32
4
8
0
0
4
20
0
0
0
8
8
8
16
8
8
0
0
0
0
0
4
4
8
3
0
0
0
8
8
8
0
0
0
8
8
8
8
0
0
16
16
16
16
16
6
4
4
4
2
0
8
0
16
16
0
8
20
8
0
0
2
8
8
8
8
8
8
16
2
2
2
0
0
0
0
1
1
1
8
16
16
0
8
1
16
8
8
31
27
16
0
2
0
0
0
4
16
16
6
0
0
8
24
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
8
8
1
16
25
16
8
8
8
8
0
40
8
8
8
8
0
2
0
1
8
8
8
8
8
8
22
0
0
0
4
4
4
12
4
8
0
16
16
16
16
16
16
16
0
4
4
16
1
8
16
18
0
0
8
0
8
8
8
8
8
24
0
35
35
8
0
0
36
0
0
2
8
8
8
16
16
16
4
4
0
0
0
8
8
12
8
12
8
2
2
0
8
8
0
0
4
4
8
8
8
8
16
10
8
24
8
9
9
2
2
2
2
8
8
8
1
25
31
0
0
0
0
8
8
8
8
0
8
0
32
4
36
16
16
8
53
53
53
53
53
0
0
27
0
16
2
2
6
6
16
16
0
8
4
1
0
8
8
8
1
0
18
18
0
0
0
0
8
16
16
0
1
1
32
16
0
0
0
16
16
16
0
1
1
1
1
41
4
0
4
4
0
0
1
1
1
1
1
1
2
16
8
0
0
44
8
0
0
0
0
0
4
16
24
24
0
0
0
0
0
1
1
0
8
8
8
8
8
8
2
4
8
16
0
16
0
0
24
8
0
0
0
4
0
10
49
0
0
0
0
16
8
30
30
30
8
16
4
8
8
8
8
8
1
1
1
1
8
8
8
0
0
4
4
4
1
2
8
8
8
0
7
7
7
7
1
16
16
16
8
8
4
4
0
0
1
17
17
4
3
8
8
8
8
16
0
16
16
0
0
18
0
0
4
8
8
16
16
37
8
8
0
0
16
0
8
9
24
8
0
0
8
8
0
8
8
8
8
8
8
8
8
16
18
20
16
0
1
1
8
16
16
8
0
0
4
4
4
8
8
8
20
8
8
8
8
16
0
0
0
16
0
8
8
0
0
32
32
8
0
0
16
4
8
0
1
1
8
8
8
8
0
0
8
8
8
8
31
5
8
8
8
4
4
8
0
8
8
8
4
4
4
4
0
0
0
4
4
8
8
8
8
8
8
8
32
32
2
0
0
2
8
8
0
8
8
52
52
52
52
4
8
4
0
0
8
8
8
8
0
16
16
8
8
0
8
2
2
2
2
24
0
20
22
0
0
16
0
0
0
12
8
4
16
16
25
0
0
8
8
8
8
8
8
8
8
8
8
8
0
8
0
2
2
0
0
0
0
16
16
32
16
0
25
16
16
16
0
0
16
0
0
0
0
0
0
8
0
0
8
8
24
2
0
8
8
8
1
1
1
8
8
21
21
0
0
24
8
1
1
1
1
1
1
4
0
0
18
2
2
2
2
2
16
16
10
10
0
0
1
16
8
8
16
8
16
16
8
24
16
0
0
0
32
32
4
8
0
4
4
4
2
6
0
0
8
8
8
8
8
16
16
16
0
8
8
8
0
8
24
24
16
16
16
16
0
0
0
8
8
0
0
0
2
0
0
0
16
16
8
8
8
8
8
0
16
16
18
8
8
16
8
4
1
1
8
0
16
21
21
4
4
4
4
4
0
0
4
8
16
2
1
8
0
0
8
8
8
8
8
8
8
8
8
8
8
0
0
16
0
0
1
1
0
0
0
0
0
32
32
8
8
30
30
16
24
8
24
8
8
8
16
16
16
0
0
0
0
0
40
2
2
0
0
0
0
0
16
8
0
0
0
4
4
1
1
0
1
8
8
16
16
16
16
16
16
16
16
8
9
9
8
8
8
8
8
0
16
16
16
16
0
0
0
0
16
8
8
8
8
8
8
8
20
8
4
8
8
8
16
32
32
16
2
2
2
2
16
16
0
1
1
16
0
0
0
0
4
8
8
8
8
8
8
8
12
8
0
0
8
8
8
4
8
8
8
0
1
1
1
1
1
1
1
8
8
8
8
8
8
16
8
1
9
20
8
8
26
24
0
0
0
0
1
1
24
20
8
8
8
8
1
1
1
0
17
1
0
0
24
24
32
0
10
16
16
16
16
16
16
4
4
4
16
16
16
18
16
60
0
32
0
16
0
0
0
8
8
0
8
0
0
0
0
0
0
8
8
5
0
0
0
0
0
0
0
0
0
4
0
0
0
0
48
8
32
19
0
8
8
8
8
8
8
16
0
9
0
0
8
0
0
0
0
0
0
12
8
8
0
8
8
6
6
6
6
0
0
4
0
24
16
21
8
0
0
0
16
2
8
8
8
8
8
8
8
0
0
0
0
0
0
8
8
8
4
0
2
2
2
8
8
8
8
8
0
8
8
8
32
0
20
4
8
8
4
8
8
8
8
0
0
8
8
8
0
0
16
8
16
16
0
0
8
24
24
24
16
8
8
0
32
16
16
16
16
0
0
0
0
8
16
0
16
16
16
0
0
16
4
4
0
16
16
16
2
2
16
16
16
16
0
0
2
2
8
8
18
20
20
4
20
4
4
16
16
0
16
16
4
16
16
16
49
49
16
16
16
12
0
0
16
8
16
16
2
4
8
4
4
4
0
0
4
24
8
8
16
16
16
16
16
8
8
0
1
1
1
1
1
8
8
0
1
0
18
18
8
8
0
0
0
16
16
16
16
16
16
16
0
8
8
8
8
16
4
4
4
0
20
8
1
1
1
1
1
1
0
0
4
4
8
8
8
8
8
0
20
20
16
8
0
0
0
0
8
8
8
0
0
8
8
8
8
8
8
16
16
16
16
24
0
0
8
8
8
8
0
6
8
8
8
8
16
16
56
56
0
8
0
0
0
0
24
0
16
28
0
16
16
8
8
8
62
28
28
28
16
16
16
8
8
0
0
10
10
10
8
8
8
3
1
4
0
25
25
16
0
0
0
8
8
0
16
0
0
0
8
8
8
0
4
4
4
8
24
8
8
8
2
20
0
0
0
0
4
4
8
8
16
8
8
0
2
16
8
16
16
16
3
0
8
8
8
0
0
0
8
8
8
8
0
0
0
8
8
0
0
4
4
4
4
4
4
4
4
4
0
8
8
8
8
1
1
1
1
8
16
0
0
0
0
0
0
8
1
17
16
8
8
8
17
16
16
16
0
0
8
0
0
16
8
8
8
8
8
8
8
8
0
2
2
0
20
20
8
8
8
16
0
8
8
8
8
8
8
8
8
7
5
4
0
2
16
16
0
0
8
8
8
8
0
2
2
2
1
8
24
24
0
0
16
2
2
2
18
16
0
8
24
2
8
1
1
1
0
0
0
1
0
0
0
16
0
0
32
32
1
0
0
4
4
0
0
0
0
0
0
0
26
0
0
0
0
0
2
10
2
16
0
0
0
0
0
16
0
24
8
6
8
0
8
8
0
8
4
0
0
16
24
2
0
24
1
8
0
0
16
8
16
4
4
8
8
16
16
16
16
16
16
0
0
8
0
0
32
32
0
8
0
0
4
25
16
16
16
8
8
0
0
2
0
16
16
2
4
8
0
16
16
1
41
41
41
24
24
0
0
0
0
16
16
16
16
1
41
8
16
16
16
16
0
1
1
0
8
40
16
0
0
8
8
8
0
0
8
0
0
0
0
0
8
8
17
17
8
8
0
0
0
16
16
20
25
17
16
8
8
8
8
8
8
4
4
19
16
8
8
16
16
16
16
0
8
8
0
16
8
8
8
8
16
16
16
28
28
28
28
2
0
0
16
24
56
16
8
42
0
0
0
0
0
4
4
8
8
0
0
57
57
0
4
4
16
4
16
16
16
16
16
16
4
16
16
16
1
0
0
0
28
28
28
2
2
8
0
0
0
16
8
8
8
8
8
8
8
8
8
8
0
16
24
24
8
8
8
8
8
8
8
0
0
0
0
4
8
8
0
0
0
8
8
0
0
0
8
8
8
8
0
16
8
8
0
0
0
0
4
4
4
4
1
1
1
1
8
8
8
8
8
0
25
0
8
0
16
8
2
2
17
17
17
0
8
0
0
0
16
1
1
8
60
0
0
0
16
16
16
0
12
0
16
16
16
0
4
2
2
2
16
16
2
22
0
0
0
0
0
0
17
17
17
1
8
4
8
8
8
8
0
0
16
1
8
8
1
0
8
8
24
0
0
0
0
0
8
8
8
16
0
0
2
16
16
16
16
16
16
4
4
4
4
1
1
8
8
8
0
4
4
4
4
16
4
4
3
3
3
0
4
32
8
24
24
8
24
8
8
8
4
4
4
4
8
8
8
8
8
8
0
1
25
25
16
8
0
16
16
20
20
2
2
2
35
2
0
8
8
8
0
0
8
0
0
3
8
8
8
8
16
16
0
0
0
8
8
8
8
0
8
0
0
0
0
0
8
0
0
1
1
1
0
8
4
20
16
0
0
0
0
0
8
44
0
4
16
16
16
16
16
0
16
16
16
8
1
16
16
0
8
8
8
8
8
8
8
0
0
1
1
1
0
0
0
8
0
8
8
8
16
16
16
0
0
1
16
16
16
16
16
0
20
1
4
0
23
23
20
0
0
16
16
32
2
0
0
24
8
8
0
0
0
2
2
2
1
8
8
20
20
20
26
16
16
16
0
0
4
8
10
0
0
0
8
8
4
4
0
8
8
8
8
4
4
0
1
1
0
0
52
52
52
52
41
4
0
0
8
8
0
1
10
10
0
0
16
16
16
16
8
32
32
18
18
18
18
1
1
0
0
8
9
1
1
0
58
50
50
4
14
14
28
8
8
8
8
8
8
34
34
0
0
0
0
0
0
0
8
8
16
24
24
24
24
8
8
8
16
16
18
18
8
16
0
0
0
0
8
8
8
1
0
0
8
27
8
1
1
1
24
0
16
0
0
4
16
0
0
0
18
16
16
8
8
8
8
8
8
28
0
1
9
6
6
0
0
24
8
16
0
4
0
8
8
8
2
16
1
8
16
16
1
2
0
0
0
16
16
0
16
8
8
0
8
8
8
8
8
8
8
0
0
0
8
8
1
1
8
8
8
0
0
0
8
14
0
8
2
2
0
16
16
16
16
16
16
16
16
16
8
4
4
4
2
16
16
16
16
16
16
0
4
4
4
4
0
0
0
0
8
8
0
8
8
8
8
8
8
1
1
0
0
24
8
8
16
16
16
2
2
0
0
4
0
24
49
16
16
8
8
9
9
0
8
16
0
8
0
0
16
16
16
4
4
4
0
8
4
4
0
8
8
16
16
9
4
16
8
0
8
0
0
24
24
0
4
4
4
32
32
4
8
28
8
2
10
2
2
1
1
1
1
1
1
0
30
20
4
0
16
4
4
4
8
0
8
0
0
8
2
1
1
1
1
1
1
1
0
4
24
24
16
8
4
4
4
4
4
4
16
16
8
0
0
7
6
6
0
0
0
0
16
16
16
8
8
48
0
0
8
8
8
1
0
0
1
1
0
0
16
16
2
8
16
16
2
2
8
16
8
8
8
24
16
16
8
16
16
16
16
16
16
16
16
0
0
8
2
2
2
16
0
8
28
8
8
8
8
8
16
8
1
1
1
24
8
24
24
24
16
16
0
4
12
12
12
12
1
1
0
8
1
4
4
0
0
0
12
0
0
0
0
16
17
1
1
1
0
8
8
18
16
16
8
0
1
24
24
24
8
8
8
8
8
4
4
4
4
0
8
0
0
0
0
8
26
8
8
0
8
8
0
0
0
0
4
4
8
0
8
8
8
8
0
0
1
1
8
0
0
8
8
8
4
0
1
1
1
8
0
0
16
16
0
2
0
0
8
16
16
16
8
4
4
8
8
8
8
2
8
16
8
8
8
8
8
16
8
4
4
4
4
4
16
8
8
30
8
4
4
8
8
8
8
8
2
2
2
2
8
0
0
8
8
8
8
8
2
2
18
18
18
8
2
22
0
1
0
8
24
2
2
25
25
0
4
0
16
2
4
8
8
8
16
16
20
0
16
8
0
4
24
0
0
0
2
8
8
16
16
8
8
0
16
16
0
8
8
8
8
8
20
0
8
20
8
8
8
8
16
2
4
4
0
0
8
8
24
24
24
24
8
16
10
0
0
0
0
16
24
8
8
8
1
18
18
2
24
8
8
8
8
0
16
16
0
8
8
8
8
56
24
24
16
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
16
16
16
0
0
0
1
1
1
1
1
1
16
40
32
2
8
8
8
8
8
8
16
16
24
8
8
8
8
0
0
0
16
16
16
18
18
18
18
8
8
16
0
16
16
0
0
0
0
8
8
8
8
8
8
28
28
4
1
8
0
0
0
0
0
0
0
0
0
0
0
1
16
0
2
0
0
32
26
0
0
0
0
8
8
17
17
16
17
5
4
6
8
1
1
8
8
8
8
0
16
16
16
0
0
8
8
8
16
0
0
8
1
1
0
0
0
0
0
8
8
8
0
0
0
16
16
16
16
0
0
0
0
0
5
8
8
8
0
8
8
4
4
0
0
0
8
8
8
42
8
0
2
8
8
8
0
6
6
5
4
4
8
8
0
0
0
0
0
9
8
8
8
8
8
8
8
0
0
8
0
1
1
0
0
8
8
16
16
0
0
1
8
8
20
20
0
4
4
0
16
16
21
5
8
1
0
8
9
8
8
16
8
8
8
8
0
0
8
8
8
8
8
1
0
0
0
4
4
24
8
8
8
11
2
0
0
4
4
8
16
16
0
0
8
8
16
0
0
0
8
8
2
17
17
17
8
8
8
8
0
8
2
16
16
4
4
4
4
0
1
4
0
0
16
16
8
8
8
8
16
8
2
18
18
0
16
16
0
6
2
4
16
8
8
8
16
16
8
4
16
0
16
16
0
20
8
16
1
1
1
0
0
8
8
8
8
16
5
32
32
32
2
2
0
16
16
8
0
0
0
0
0
1
16
16
16
0
8
8
0
37
37
37
41
41
0
0
8
0
30
0
8
0
0
0
0
0
8
8
1
4
4
0
0
8
8
8
0
8
0
8
8
0
0
10
10
9
9
4
4
4
24
24
24
4
16
16
0
16
4
4
24
24
0
0
17
17
17
17
8
8
8
0
8
16
0
0
1
1
1
1
4
0
8
8
8
8
8
0
8
8
8
8
8
16
0
8
8
8
0
17
8
56
1
16
2
8
16
16
16
16
16
16
16
16
2
2
2
8
8
8
0
0
0
0
0
8
8
24
8
24
24
24
24
24
24
4
4
0
10
16
16
16
8
0
0
0
0
8
8
8
0
24
16
32
16
0
0
35
2
2
2
0
0
0
0
0
0
0
8
1
16
16
8
0
0
0
4
32
4
16
18
0
0
0
8
8
8
8
8
18
16
16
8
0
8
8
8
24
24
24
8
8
32
32
32
32
0
0
0
0
0
8
16
16
4
12
12
8
8
24
8
8
16
16
16
16
20
0
0
0
1
1
8
8
24
24
8
8
8
8
8
8
8
8
8
8
8
8
16
16
16
16
0
1
16
32
2
8
24
57
57
57
57
1
1
0
0
4
0
8
16
16
16
16
16
16
16
4
4
4
13
13
0
0
8
8
8
8
8
8
8
8
16
8
8
0
0
1
1
1
0
24
0
16
8
8
16
16
25
16
0
0
8
16
16
16
24
8
8
8
8
8
8
0
0
0
8
0
18
1
4
4
4
12
2
16
8
8
8
8
29
16
16
16
16
24
24
8
2
2
32
32
8
8
8
8
8
8
2
2
2
2
8
0
16
16
16
4
0
0
8
0
0
0
8
0
16
16
16
16
0
4
0
0
0
0
19
2
2
16
16
16
0
16
16
16
16
0
0
0
16
8
8
0
0
20
0
14
14
14
1
1
0
16
16
16
4
16
0
0
1
16
16
0
8
8
8
8
8
8
8
8
8
0
0
16
8
8
8
16
16
16
8
8
8
0
0
0
0
16
24
8
0
8
0
0
0
8
8
8
1
1
0
0
4
16
17
1
8
0
0
2
2
2
16
16
21
21
16
16
0
8
8
8
2
2
8
16
2
8
8
0
0
0
4
22
8
8
8
8
0
0
0
0
16
16
16
1
1
1
1
16
16
8
8
8
8
4
4
16
16
1
8
8
1
1
24
8
8
8
8
0
24
4
1
1
1
2
8
8
16
0
16
20
16
16
0
16
8
8
8
2
2
2
16
8
24
8
8
8
8
20
16
2
0
20
20
16
16
0
0
0
0
17
16
16
16
16
16
0
0
0
2
4
20
20
20
20
4
4
8
8
8
20
4
4
4
8
16
16
32
0
8
16
16
32
40
32
16
16
0
8
0
2
2
0
20
8
0
0
17
16
16
0
1
1
1
1
1
25
25
18
18
4
4
0
0
0
0
20
1
1
0
0
0
0
0
0
0
32
0
0
0
0
0
8
8
8
8
8
8
8
0
24
6
16
8
8
56
8
8
8
4
16
16
16
0
8
2
8
8
8
8
8
8
8
8
0
0
0
0
1
16
16
16
48
8
8
8
1
8
16
0
0
1
25
0
16
2
2
8
0
1
1
2
2
8
8
8
8
8
0
0
8
16
16
4
4
8
8
16
16
16
16
16
16
8
16
16
16
10
8
0
8
8
0
8
8
0
0
0
8
8
8
8
8
8
8
8
8
16
16
26
26
8
8
16
0
8
8
8
8
0
4
0
8
8
8
8
8
8
8
16
16
32
0
1
1
1
25
25
25
25
25
25
0
0
0
8
1
1
8
8
8
8
8
8
16
0
0
0
0
8
0
2
2
2
1
1
1
8
0
16
16
16
16
16
8
16
0
0
8
8
16
16
16
8
8
16
16
0
16
0
0
0
0
0
0
0
3
32
1
16
8
8
8
16
16
0
16
24
2
2
2
16
16
16
16
0
8
16
16
0
0
1
0
0
16
16
0
0
0
0
2
2
0
26
26
4
4
8
16
16
16
0
8
2
9
8
0
8
0
0
0
0
32
32
0
16
16
4
12
8
8
0
0
32
32
32
16
8
8
8
16
16
16
16
2
0
32
8
8
2
2
2
2
8
2
10
8
8
8
8
16
16
0
0
8
32
32
32
32
8
10
8
8
8
8
8
0
0
4
4
4
9
8
0
8
8
8
4
4
16
16
16
16
16
32
32
1
8
0
8
0
0
8
0
0
8
4
4
4
0
4
16
8
8
8
0
0
36
32
32
2
0
0
16
4
14
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
4
4
4
0
0
0
0
0
8
0
0
0
16
16
0
0
0
16
2
2
2
2
2
2
2
8
1
2
2
0
8
8
8
8
4
8
8
1
1
1
0
0
24
8
16
16
16
16
16
16
16
16
16
16
8
16
0
0
8
8
8
16
16
16
16
0
0
8
8
8
24
8
0
0
6
0
17
17
8
8
0
0
8
16
16
16
8
0
16
25
0
18
16
16
16
16
16
8
25
16
8
16
1
1
1
1
1
1
1
8
8
8
8
8
4
4
4
4
0
0
2
2
2
16
16
16
0
0
1
1
1
4
16
8
8
8
0
16
4
0
24
24
24
8
16
16
16
0
0
0
0
0
8
8
8
4
4
4
4
24
0
0
8
8
16
16
16
24
4
4
8
2
14
32
32
32
12
4
4
0
16
0
0
16
16
16
8
8
8
8
8
8
0
0
0
4
0
1
0
0
20
8
8
8
8
29
29
29
29
0
0
0
8
8
2
0
0
0
0
16
8
16
8
24
0
1
1
1
1
1
1
1
1
0
0
1
2
2
2
2
0
8
0
16
16
33
8
4
16
16
0
18
18
8
8
48
49
0
8
0
0
8
1
1
16
16
8
8
8
9
4
4
16
1
2
2
4
4
4
1
16
16
0
16
16
16
16
16
18
0
8
8
8
8
12
12
32
32
29
5
1
20
20
0
2
8
8
8
8
0
0
0
32
12
0
17
1
2
4
16
16
16
16
0
16
16
16
2
1
9
8
8
8
8
8
8
0
16
4
4
8
8
24
8
0
0
8
4
4
8
8
8
16
16
26
2
2
16
8
16
8
8
8
0
30
2
4
4
4
4
4
4
16
16
0
16
8
8
8
8
8
0
8
8
8
0
1
24
16
0
0
16
1
0
0
8
8
9
9
1
1
8
0
16
16
16
16
16
16
1
8
8
8
32
32
0
0
0
8
8
8
8
52
4
8
8
8
0
0
0
0
4
4
4
4
0
2
24
16
8
8
16
16
16
16
0
16
0
8
8
8
8
8
0
0
0
4
16
16
16
4
17
1
1
8
17
1
1
1
1
1
8
1
1
1
8
8
0
0
8
8
20
12
4
4
4
8
0
8
16
16
16
16
8
8
8
16
16
16
0
8
51
49
49
0
0
16
16
16
36
32
0
0
0
16
16
16
0
8
0
16
16
16
8
2
0
0
0
0
0
16
0
8
24
24
24
16
16
0
0
16
16
16
16
16
24
0
8
16
0
6
8
8
8
1
1
8
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
8
8
8
8
0
0
8
16
16
16
8
8
8
8
1
1
1
8
8
8
8
8
1
1
1
8
8
4
0
8
8
8
0
0
0
0
0
0
0
0
4
4
4
0
0
0
0
4
4
0
1
4
4
4
4
4
16
8
4
4
8
9
9
9
0
0
0
0
16
8
8
0
4
16
4
8
0
4
8
8
8
16
16
16
16
4
0
20
8
16
16
16
0
11
10
0
0
0
0
0
8
16
16
16
16
8
8
8
8
8
16
16
24
0
0
0
0
0
8
8
8
8
0
0
8
8
8
0
16
16
16
16
16
8
2
8
10
16
8
0
0
24
24
16
16
8
8
8
16
22
22
6
6
0
12
12
8
8
8
1
0
0
0
0
0
0
0
0
16
16
16
24
16
16
16
4
4
4
0
8
0
16
16
2
2
0
8
0
0
2
2
2
2
0
0
0
8
16
8
12
16
16
8
8
16
16
16
24
40
16
56
1
2
4
4
2
0
4
4
4
28
8
8
0
8
8
32
0
0
16
20
2
2
2
2
2
2
2
2
24
24
24
8
8
24
24
8
8
1
1
1
1
12
8
8
16
6
6
4
4
4
4
4
8
8
8
8
8
15
15
2
2
8
8
8
8
0
0
8
1
4
16
16
32
8
9
8
17
17
0
8
8
8
8
6
0
0
0
0
0
1
16
9
8
10
0
0
4
4
4
24
16
0
0
0
0
0
0
0
0
0
0
8
16
22
18
18
16
16
16
16
16
16
0
0
0
0
0
0
0
0
0
0
8
0
8
8
0
0
8
18
1
8
8
8
4
0
2
0
4
4
4
8
0
0
16
16
16
16
0
0
0
16
16
8
33
1
0
16
8
8
8
0
0
1
0
0
8
8
8
0
12
0
0
8
8
1
8
24
16
0
0
4
16
8
8
8
8
25
25
0
0
8
8
0
4
4
4
0
8
8
4
4
4
4
0
0
16
16
1
1
1
5
16
28
16
16
16
16
16
16
0
0
16
16
16
16
0
0
8
8
0
0
0
24
8
20
20
1
8
43
43
0
0
8
0
0
16
16
16
0
16
16
16
28
4
4
4
4
4
2
24
0
0
0
0
8
22
30
16
16
0
0
0
0
0
0
0
8
8
8
0
8
8
0
8
23
23
0
0
0
0
0
4
4
4
4
4
16
0
0
8
8
8
8
8
8
4
4
4
2
8
8
8
8
16
16
0
0
0
0
8
20
20
0
0
0
0
8
0
20
19
2
2
4
2
8
8
8
8
8
8
8
8
8
8
8
8
8
8
24
16
0
24
8
8
8
0
4
4
4
0
4
4
4
8
8
4
16
16
16
6
6
0
0
0
0
8
8
16
16
8
8
8
8
8
8
0
4
4
16
24
2
2
2
4
1
1
8
8
8
0
0
0
0
8
0
0
4
6
8
8
8
8
0
1
16
8
8
0
4
8
8
16
4
4
4
4
4
1
0
0
0
16
16
16
16
8
8
0
16
24
0
0
4
4
4
0
1
4
8
8
8
8
0
0
8
24
8
37
37
37
24
0
0
0
0
0
0
16
16
16
2
16
2
1
4
4
16
2
28
0
16
0
0
4
4
8
0
8
8
0
0
8
0
16
16
1
1
1
0
0
1
17
24
16
0
0
0
11
11
11
11
11
0
8
10
0
0
0
16
16
16
0
0
0
2
2
0
8
0
8
0
4
4
4
4
0
0
8
16
16
8
8
1
1
1
5
23
2
0
0
4
8
0
16
10
12
12
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
2
2
0
1
1
0
8
8
16
16
16
16
16
16
0
0
0
0
20
1
0
8
8
20
20
20
20
20
20
20
20
20
0
0
4
16
0
0
0
0
0
0
16
1
1
8
0
0
0
16
16
8
8
8
16
24
24
1
25
25
1
1
1
8
4
4
4
3
1
2
0
0
0
0
8
8
0
16
16
19
19
16
16
16
32
32
4
2
2
8
8
16
2
8
16
16
16
4
4
2
0
2
8
0
8
8
8
16
8
8
8
4
4
0
18
18
8
8
8
8
0
8
8
0
0
0
0
8
2
8
8
8
8
8
8
16
8
0
4
4
4
4
16
2
8
1
1
16
16
16
16
0
0
8
4
12
8
8
8
8
8
8
8
8
8
8
8
0
9
4
0
0
8
8
48
8
8
8
8
8
8
0
2
2
5
0
0
0
0
4
4
8
0
8
8
8
32
32
32
0
8
8
8
0
0
16
2
2
2
2
3
8
8
8
0
0
0
16
0
8
8
8
20
19
0
0
2
2
0
10
10
0
0
0
4
4
16
16
16
16
8
0
0
1
32
16
16
16
16
16
16
8
8
8
0
0
0
8
0
0
0
0
57
0
0
18
18
18
4
4
4
4
0
0
0
0
0
0
0
8
8
24
24
24
24
24
0
0
8
5
0
0
0
0
1
32
2
25
0
0
16
32
24
24
4
4
0
0
8
0
0
0
0
0
1
1
8
8
9
8
8
8
8
16
16
16
16
16
8
8
0
16
4
4
1
1
1
16
16
48
24
8
1
0
16
48
16
24
8
16
16
16
16
8
8
22
22
22
22
8
0
16
24
16
16
0
8
8
8
8
8
10
0
0
0
0
0
0
0
0
8
0
0
16
0
8
0
3
0
8
8
8
8
8
0
0
8
8
20
8
8
8
8
0
0
0
8
8
8
8
8
8
8
8
8
16
16
0
0
2
0
0
0
24
24
24
0
0
0
0
4
4
4
16
0
8
8
0
0
4
4
4
16
16
8
8
0
16
0
19
16
8
8
8
8
8
8
8
16
1
8
8
16
16
4
8
16
0
2
0
0
16
16
16
16
2
2
2
8
0
0
0
0
0
4
4
0
0
0
0
0
24
24
2
2
2
2
2
2
0
0
1
0
0
0
0
0
0
0
16
8
16
16
0
16
8
8
8
8
0
0
0
0
0
16
8
0
0
8
8
0
16
16
24
8
8
8
8
8
0
0
4
4
0
0
0
0
16
8
0
16
16
16
16
16
16
16
16
16
16
8
9
8
8
0
4
0
0
0
0
8
8
0
0
8
8
2
8
8
0
0
8
0
0
8
18
8
8
4
0
13
4
0
0
16
32
32
20
12
4
4
36
32
0
0
0
16
8
10
0
8
1
8
0
3
3
3
16
0
0
8
8
0
0
56
56
32
0
0
0
0
0
0
1
8
8
8
8
8
8
8
1
4
4
20
16
32
32
24
3
56
56
0
0
4
4
0
16
16
8
8
8
8
8
8
18
2
2
17
16
16
0
0
16
31
8
1
0
8
16
16
16
8
0
8
4
24
0
0
16
16
0
4
16
16
16
3
3
8
8
32
12
12
8
8
0
16
16
0
0
0
0
0
16
16
16
16
1
8
16
16
8
9
9
0
16
16
16
16
16
0
0
24
8
2
2
8
4
8
8
8
8
8
8
8
8
0
16
8
24
24
24
24
17
0
20
8
28
20
4
4
8
16
0
0
0
4
4
18
16
0
1
16
0
8
16
16
3
2
1
4
4
17
17
1
0
16
0
4
8
16
16
12
8
8
8
8
17
17
8
8
8
8
16
16
16
8
8
8
8
8
1
8
0
0
0
4
24
0
0
16
16
0
18
0
22
23
0
0
0
8
8
8
8
32
0
0
1
1
2
2
2
2
8
9
16
8
8
8
8
8
0
0
20
20
16
16
16
16
16
16
16
16
16
0
24
24
6
6
0
0
2
2
2
0
40
1
20
1
20
9
4
0
32
49
8
0
18
18
16
16
16
0
4
4
4
4
8
8
8
8
8
8
8
22
8
8
8
0
18
2
16
16
16
0
32
0
33
41
0
0
8
16
16
16
8
0
8
1
1
1
1
0
4
32
0
8
16
8
0
2
2
32
32
0
0
0
8
1
1
1
1
24
32
2
32
8
0
0
8
2
8
1
1
0
16
2
2
2
0
4
8
4
4
0
0
0
0
0
0
16
0
0
32
0
12
8
8
8
8
16
16
9
9
9
8
0
8
12
0
0
0
2
2
0
2
2
0
32
32
32
32
32
0
2
2
0
0
0
0
0
8
8
8
40
8
8
8
8
16
16
17
0
0
5
4
18
25
0
0
9
0
0
0
0
8
8
16
16
2
2
2
16
16
1
1
4
4
4
4
8
16
16
16
2
8
0
1
1
0
0
8
8
8
0
8
0
0
8
8
0
2
6
0
0
0
0
16
16
8
8
8
8
0
0
0
0
0
0
16
16
0
0
8
2
4
4
8
8
8
0
0
8
2
0
4
0
0
0
16
16
8
8
0
8
8
0
16
16
8
0
0
0
1
1
1
1
2
16
16
8
8
8
0
0
0
0
0
0
8
8
0
16
16
8
24
24
49
49
49
8
16
24
0
0
4
4
4
4
8
2
8
0
16
16
0
0
16
16
16
16
4
20
24
8
8
8
8
4
0
0
0
8
8
8
8
0
0
0
8
8
8
4
10
10
17
16
8
8
24
0
16
0
0
8
2
2
0
0
0
8
8
8
0
0
8
2
8
2
2
8
8
8
8
16
0
0
8
8
8
8
2
4
4
0
0
0
12
12
12
2
2
17
16
16
16
16
16
16
16
16
16
0
0
8
8
8
8
2
2
2
2
8
8
16
0
2
0
0
0
24
24
8
16
8
32
8
0
0
0
0
0
0
0
0
0
1
1
1
17
1
8
16
8
8
8
8
8
36
36
32
8
8
16
16
16
24
24
24
8
8
4
22
16
16
8
8
8
0
0
0
6
8
2
2
16
1
32
32
32
16
0
0
8
8
0
0
0
8
14
14
1
8
8
8
8
8
0
8
6
6
16
16
17
16
16
1
1
0
8
8
0
16
16
16
20
16
20
20
20
8
8
4
4
0
16
8
8
16
16
20
2
0
8
8
8
8
0
4
16
16
16
2
2
2
0
0
0
0
0
0
0
2
16
0
0
16
6
0
8
0
13
8
8
8
20
0
1
1
1
1
0
0
0
16
0
0
0
16
14
14
14
4
16
16
16
16
8
8
0
0
32
16
0
0
8
10
8
0
0
24
24
16
1
1
24
0
16
8
2
2
4
4
4
4
16
4
8
8
8
8
8
0
0
8
12
12
12
8
56
56
2
2
2
2
16
16
16
0
0
16
0
16
16
16
0
8
8
0
0
0
0
14
0
0
1
1
1
1
1
24
8
24
8
0
24
24
0
0
4
4
0
0
4
16
0
8
8
8
9
9
0
8
16
0
8
8
8
16
16
16
0
0
16
8
8
8
8
0
0
0
16
8
0
16
0
16
16
16
8
8
8
8
0
16
16
8
8
8
8
0
8
8
8
8
16
16
16
16
8
0
0
0
8
0
0
32
0
8
8
2
0
2
26
2
8
8
8
8
1
16
16
0
8
8
8
8
8
26
16
0
0
0
8
8
1
1
16
16
16
0
2
2
2
16
1
16
0
0
8
8
8
16
8
8
8
8
8
8
4
4
26
2
8
8
8
0
4
0
8
8
8
18
0
1
24
8
4
8
0
16
1
1
1
0
0
8
8
8
1
1
1
32
0
16
16
16
0
40
40
2
27
16
0
8
32
32
2
2
8
4
4
4
0
8
8
8
8
8
8
0
0
8
0
8
8
8
0
0
0
0
8
8
8
0
16
8
8
8
8
2
2
0
0
16
8
2
0
0
0
0
10
8
8
8
8
8
8
3
0
1
16
16
16
16
8
8
8
0
16
25
0
4
16
25
25
25
41
41
0
0
0
32
32
25
1
16
16
0
0
8
8
8
1
8
8
0
0
0
1
8
0
0
0
2
2
0
1
1
1
8
8
8
0
0
30
14
14
14
0
8
16
8
8
8
8
18
18
32
20
16
8
16
0
0
8
8
8
24
0
0
0
8
0
8
8
16
16
16
16
16
31
15
0
0
0
1
1
8
4
4
4
4
25
8
8
1
17
0
16
8
0
1
16
16
16
4
8
8
16
16
20
8
16
16
16
16
16
8
8
0
0
17
20
16
16
8
8
0
0
0
8
8
16
40
40
0
0
0
0
0
4
8
8
1
1
1
8
8
8
8
8
8
8
1
1
1
0
0
3
3
8
8
16
0
0
0
2
2
8
0
8
8
0
8
8
8
8
8
16
16
0
0
0
24
24
8
0
8
0
0
8
8
4
4
4
4
4
4
4
4
8
8
8
2
8
8
2
2
0
8
8
8
2
18
0
0
0
32
8
8
8
0
0
16
8
8
16
16
8
8
8
8
8
8
2
8
20
16
16
16
16
8
16
16
8
0
0
0
0
0
16
16
32
0
1
16
24
0
0
8
0
4
5
1
8
8
8
8
8
1
1
0
8
8
8
8
16
32
32
32
32
8
8
8
8
4
0
48
48
20
20
12
24
0
2
2
2
8
8
8
0
0
0
16
4
8
8
0
1
1
8
8
17
17
17
2
0
8
8
8
16
0
16
16
16
16
16
16
16
16
16
0
16
16
0
8
8
1
1
1
1
1
1
0
0
0
8
16
16
16
16
16
16
16
8
16
16
16
16
16
16
16
4
4
24
24
0
8
8
8
8
0
16
12
12
8
8
8
8
8
0
0
8
8
8
28
8
16
16
16
16
16
8
2
1
8
8
8
8
0
16
16
16
8
8
8
8
0
0
8
8
8
16
16
48
0
4
0
0
0
4
5
16
16
16
0
16
16
16
8
8
8
2
16
8
16
8
8
8
8
16
16
0
0
8
0
16
0
0
0
24
24
9
8
9
0
0
0
0
16
8
8
0
0
8
8
32
32
32
32
32
0
0
4
4
0
1
4
0
0
0
0
4
4
29
4
0
0
0
20
4
6
6
6
6
6
6
0
0
0
4
8
4
8
8
8
0
0
0
0
1
25
29
24
8
8
8
4
16
16
16
16
16
16
0
8
2
2
2
2
18
18
18
4
16
0
44
36
16
16
0
48
0
8
8
0
0
8
18
18
18
16
18
0
0
24
4
8
8
8
8
17
17
17
0
12
8
8
8
16
8
8
8
8
32
32
8
8
8
2
8
8
8
8
8
8
3
20
18
18
4
4
24
10
10
0
32
32
8
0
16
4
0
16
16
16
16
16
0
8
8
0
4
4
8
8
4
4
16
8
2
16
16
1
32
0
0
0
16
16
8
0
8
29
1
1
0
0
8
25
2
8
16
16
0
16
0
0
0
0
10
2
2
10
17
1
17
16
8
2
8
8
8
26
8
8
16
16
0
8
0
0
0
0
4
0
0
0
16
16
16
16
8
8
8
8
8
8
8
8
0
0
4
1
1
1
1
1
1
8
8
8
8
8
8
8
8
32
32
32
32
12
12
12
16
8
6
0
16
16
16
0
0
0
0
1
0
8
8
0
2
2
0
16
16
1
0
0
16
16
8
8
8
0
0
1
1
1
5
4
1
16
16
0
16
16
0
0
0
4
4
16
16
16
8
16
8
24
24
24
8
1
1
1
4
0
1
0
0
8
4
0
0
1
0
16
16
16
0
4
4
2
18
0
4
8
2
4
4
9
4
8
0
8
8
8
8
8
8
0
0
0
8
8
8
0
16
24
0
1
8
4
4
18
18
18
18
8
36
8
0
8
8
2
2
12
12
4
4
8
4
16
8
8
8
8
8
8
0
0
0
0
0
14
16
4
20
4
8
8
1
16
16
16
8
24
0
0
16
20
16
8
8
0
4
8
8
8
8
16
4
8
8
0
12
16
16
16
2
2
8
8
8
8
0
0
0
16
0
0
0
0
0
8
8
8
16
16
8
1
1
0
1
1
0
2
2
8
6
6
4
8
0
0
0
24
24
6
6
10
24
0
0
0
16
0
8
0
8
0
0
0
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
8
0
2
18
34
34
8
16
16
16
32
32
32
4
4
28
8
8
8
44
0
32
0
0
13
13
13
2
10
0
0
0
32
32
32
16
8
40
40
40
40
8
8
16
16
0
9
16
8
20
20
0
0
25
8
8
4
4
4
4
4
8
8
8
8
16
16
18
2
2
16
0
0
0
16
4
4
16
0
4
4
4
4
4
4
4
16
16
16
16
16
16
16
0
0
0
4
24
16
16
0
8
8
12
0
0
16
8
32
32
32
0
32
8
0
0
8
8
8
16
0
1
1
8
8
4
8
0
8
25
16
16
0
0
24
0
0
8
0
0
0
24
24
1
24
2
6
4
4
4
27
27
8
4
2
0
0
8
8
4
12
0
16
16
8
0
8
0
0
2
2
8
16
4
4
0
0
0
0
0
21
21
4
8
8
8
0
0
1
16
17
17
17
17
16
16
16
0
0
0
0
0
0
21
8
8
8
24
8
8
4
4
4
1
8
48
48
48
48
48
16
16
16
16
16
16
0
0
0
16
0
0
2
2
16
2
2
16
16
0
0
2
2
2
2
16
0
16
8
0
8
0
0
0
0
0
24
8
8
8
46
2
3
0
8
4
0
0
12
12
0
0
4
16
0
16
8
8
8
8
8
8
8
8
8
8
8
8
8
4
2
2
16
16
0
0
16
24
16
16
4
8
0
8
0
4
4
8
0
0
24
16
16
18
18
0
0
8
8
8
8
8
0
0
0
9
25
8
8
40
8
8
8
3
2
0
0
8
8
1
16
16
16
16
16
13
8
16
16
16
16
0
8
8
8
8
8
0
16
16
0
8
8
8
8
8
8
8
2
2
0
0
0
0
0
0
16
16
1
1
1
1
1
1
0
1
1
0
0
0
0
0
0
1
8
8
8
16
0
0
16
24
24
16
16
1
1
1
4
4
2
2
2
4
9
9
9
0
0
8
0
24
0
8
8
0
16
8
16
0
20
21
5
2
2
8
8
4
16
16
16
16
20
20
20
0
0
0
8
8
8
8
8
9
8
8
8
0
8
8
0
8
8
24
8
8
12
4
4
4
1
1
16
16
16
9
9
4
4
4
8
12
12
8
12
1
0
0
16
4
4
4
16
16
16
8
0
8
16
17
16
8
8
8
8
0
0
0
8
8
8
0
0
0
28
10
10
0
0
12
12
12
0
8
0
0
8
8
16
16
0
1
16
16
16
16
16
0
0
0
8
8
18
0
8
4
8
8
8
8
9
1
1
16
0
8
8
8
8
8
8
16
8
8
8
4
4
16
0
0
0
0
4
0
1
16
20
20
8
8
0
0
8
8
0
8
0
0
32
8
8
1
0
0
8
0
0
1
0
0
1
0
0
0
4
4
4
4
4
8
1
0
0
0
24
0
0
8
8
8
8
0
0
0
8
8
0
0
24
0
2
2
16
9
32
25
25
25
8
8
8
16
8
8
8
8
8
8
8
8
0
8
8
8
8
8
6
16
16
16
16
16
16
16
16
8
8
8
8
2
2
0
4
4
1
1
8
0
0
0
0
0
0
8
8
8
8
0
0
16
16
58
0
0
16
17
26
32
40
2
0
8
24
24
24
16
0
4
4
4
8
0
2
2
2
2
2
2
2
2
2
2
8
8
1
1
1
8
8
8
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
16
16
16
4
4
4
4
4
4
8
12
0
0
8
8
8
8
8
0
0
0
0
0
0
16
21
0
17
17
2
17
17
17
0
8
16
25
0
0
8
8
8
8
0
4
32
32
8
36
4
4
8
13
8
0
24
0
48
48
16
16
8
8
16
16
16
0
32
32
32
32
32
16
8
8
8
8
0
0
16
16
8
8
8
8
16
16
0
8
8
0
25
0
16
8
8
8
8
8
0
8
8
0
0
16
16
4
16
0
40
0
20
20
20
0
0
0
8
3
3
18
24
8
8
8
8
8
8
24
24
24
0
0
0
0
2
2
2
0
0
8
0
4
8
8
16
16
0
0
0
0
16
2
16
16
0
0
8
16
24
1
1
8
8
48
16
8
8
16
16
16
32
32
32
32
0
0
8
0
8
8
8
8
20
24
8
4
4
1
1
8
8
1
0
0
32
32
0
8
4
0
41
28
28
28
12
8
0
8
8
1
8
12
0
0
0
0
0
8
8
8
8
0
16
0
0
0
0
0
8
8
8
0
0
8
9
16
16
16
16
8
8
8
8
2
2
2
8
8
8
8
8
8
4
16
4
0
8
0
20
0
0
32
16
16
8
8
8
0
8
8
8
8
0
0
0
0
8
8
8
8
8
0
0
24
24
24
44
16
0
0
0
0
0
0
0
0
0
8
8
16
16
16
16
16
16
0
0
16
16
16
0
0
0
24
8
8
8
8
8
0
0
18
8
1
0
8
8
8
8
8
16
16
1
32
0
0
0
0
0
0
0
0
6
0
0
0
0
0
0
16
16
8
8
8
0
8
1
8
0
0
16
8
8
0
0
32
32
16
16
8
16
8
8
8
8
8
0
24
8
8
8
8
16
16
0
8
0
0
8
0
2
8
0
0
0
8
2
0
0
20
0
0
8
8
8
16
0
16
16
16
21
4
4
4
8
8
8
8
16
4
20
16
16
8
8
0
4
24
8
9
8
8
1
16
0
4
1
8
4
4
4
0
8
8
19
0
0
9
4
8
8
4
4
8
0
0
1
1
0
0
24
16
0
18
8
0
24
1
1
8
0
0
0
0
0
0
8
8
8
8
8
24
5
8
8
12
12
0
20
4
16
16
16
4
4
0
0
0
0
8
0
0
8
8
0
0
8
8
8
8
8
8
8
0
17
17
4
16
16
0
0
0
4
4
24
0
0
8
8
1
29
1
4
8
8
0
0
0
0
0
2
2
2
2
2
2
16
16
2
2
2
2
0
0
16
2
8
0
0
0
0
0
0
16
16
16
8
0
0
0
16
24
24
16
16
4
4
1
0
16
12
8
16
16
0
8
0
0
0
16
16
16
8
16
16
16
16
0
4
4
8
8
10
10
16
16
40
40
0
12
12
32
32
32
1
8
8
8
8
0
8
1
0
0
0
16
1
2
0
0
4
4
4
4
4
4
4
4
1
0
1
1
1
1
1
16
16
8
10
8
0
4
8
8
6
16
22
8
0
1
0
0
0
0
17
8
8
8
16
16
0
16
24
24
17
16
0
0
1
1
1
1
4
4
4
4
20
0
17
17
0
0
0
0
0
16
16
16
16
1
8
8
8
8
3
3
3
16
16
16
16
16
0
56
8
8
22
0
0
4
0
2
8
0
16
16
8
8
8
1
1
0
0
8
12
8
8
8
8
8
8
8
8
8
0
0
0
8
8
8
4
0
17
17
17
16
0
4
4
1
48
48
0
8
8
8
8
8
1
4
4
8
8
8
8
8
8
8
8
17
16
8
8
8
8
10
8
1
1
1
8
0
2
2
2
28
0
1
1
2
2
24
0
0
8
8
8
0
0
0
0
8
0
9
9
9
8
8
9
8
8
4
8
8
8
8
8
8
8
3
4
16
16
16
16
16
16
8
8
8
8
8
8
0
0
8
24
32
0
1
1
1
2
2
2
0
8
32
32
0
0
0
4
4
4
36
0
1
1
1
1
1
1
1
0
0
0
0
0
0
8
0
16
8
8
16
18
18
17
16
16
16
16
0
0
8
8
8
8
8
12
0
0
0
0
0
32
0
4
8
8
8
0
8
8
0
12
12
8
8
8
16
8
8
8
8
8
2
2
0
8
24
0
25
4
8
8
1
1
1
0
8
1
1
1
1
4
16
16
16
16
9
1
9
1
1
1
8
32
4
4
16
0
0
0
8
8
8
8
8
40
1
8
8
2
6
2
0
1
1
32
0
8
20
8
1
1
12
12
4
8
12
12
17
0
0
4
20
9
0
0
0
24
2
2
2
8
8
8
16
16
16
8
0
0
0
32
4
4
4
21
5
8
8
0
32
32
32
32
32
32
8
0
0
17
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
16
16
0
0
8
8
8
16
16
8
16
16
6
16
17
1
1
1
1
1
0
0
0
8
8
8
8
8
0
17
17
17
8
8
8
4
4
1
1
0
0
0
40
48
8
2
12
4
40
40
0
1
0
8
8
8
0
11
8
8
0
0
0
0
0
8
8
17
1
2
2
2
16
16
8
8
8
8
2
2
2
2
0
0
8
2
16
16
16
16
2
8
8
0
35
35
16
0
16
16
0
0
0
16
0
8
8
0
0
0
16
32
8
0
8
8
8
8
0
8
24
8
4
4
0
0
0
16
16
16
24
24
0
0
4
4
12
4
16
8
8
8
8
8
20
20
36
36
36
36
36
36
36
1
1
17
8
8
8
8
9
9
9
9
9
8
8
0
0
0
0
2
8
1
1
1
1
8
8
0
4
4
8
36
36
36
0
0
0
0
6
16
8
8
8
8
8
4
4
4
8
8
1
1
1
1
0
8
5
8
8
8
0
0
0
8
8
20
16
0
0
0
8
8
16
16
8
0
8
0
8
9
8
8
2
2
2
32
8
8
8
8
8
16
16
16
24
24
8
8
8
2
2
2
16
10
10
0
1
4
4
0
0
16
16
8
0
0
8
16
16
8
8
16
16
8
0
0
8
8
8
0
1
24
24
4
4
2
2
20
12
0
8
4
4
24
8
8
32
0
0
12
8
8
8
16
16
1
8
8
8
8
8
8
8
8
8
1
1
0
0
0
0
32
32
0
0
8
8
8
16
0
1
1
1
8
8
4
4
8
6
16
16
24
4
4
4
6
0
0
0
2
8
8
8
8
8
8
1
1
8
8
4
0
0
8
16
16
0
24
16
4
4
1
1
16
24
16
4
4
4
4
12
8
8
36
36
36
24
8
8
8
8
8
8
26
37
37
37
37
0
0
0
0
0
0
0
8
8
8
8
8
8
8
8
1
3
1
8
0
8
8
8
8
8
8
4
0
0
0
0
0
0
0
8
8
8
8
8
0
0
0
0
0
0
8
4
16
4
0
18
8
8
16
8
8
8
4
0
8
8
0
16
16
16
16
0
20
20
20
0
4
4
4
0
16
8
2
0
0
16
0
16
0
16
16
16
2
2
2
2
2
0
0
4
8
8
4
0
0
8
0
0
8
8
0
16
16
0
0
4
12
4
4
4
0
16
16
1
1
1
8
8
8
24
8
21
16
8
0
8
0
0
0
0
0
8
8
8
8
8
8
8
30
30
30
0
0
0
1
0
1
1
0
8
0
0
0
0
0
4
4
8
0
8
9
8
3
3
0
0
2
2
8
0
8
8
8
0
0
16
16
16
16
16
16
26
2
18
2
2
4
4
0
0
0
0
0
0
0
1
1
1
1
4
1
4
4
4
8
8
24
8
8
16
16
8
8
0
8
8
8
8
8
8
0
0
4
4
0
4
16
36
36
16
16
8
8
0
0
0
16
0
8
8
16
0
16
16
16
4
4
4
0
6
14
8
8
8
8
16
0
0
0
0
4
4
0
8
8
8
20
28
0
0
8
8
8
16
62
62
0
0
0
16
0
0
0
16
16
16
0
0
0
16
8
8
8
4
8
0
3
0
0
16
16
8
8
8
12
8
8
4
4
8
16
16
16
16
18
2
2
16
4
8
0
16
8
8
0
13
4
4
4
0
8
8
8
16
8
0
0
0
32
0
0
0
0
8
8
0
24
8
0
0
8
16
16
8
8
8
8
8
24
24
0
16
16
16
8
8
0
17
1
8
1
1
1
4
4
4
0
0
16
8
8
16
16
16
2
28
0
0
4
4
32
32
0
0
0
2
2
0
0
8
4
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
0
0
24
8
0
0
8
8
1
2
0
0
0
0
0
0
0
0
2
2
2
4
4
4
0
0
0
0
8
8
16
0
48
32
32
8
8
0
20
0
8
8
0
0
0
0
0
0
0
0
8
16
16
16
16
8
8
8
16
0
0
8
8
8
8
8
8
8
8
20
0
17
16
16
4
4
9
8
8
8
8
8
8
0
0
0
16
0
21
4
0
0
0
0
0
0
0
0
0
8
8
16
0
24
16
16
0
0
16
8
8
8
0
8
0
0
18
18
18
8
8
8
1
8
24
2
2
0
1
1
1
1
2
0
0
8
0
0
0
48
48
0
0
8
16
16
16
16
4
4
4
4
4
0
0
16
16
8
8
8
8
8
8
8
0
0
1
1
16
8
8
8
0
0
8
24
8
8
8
8
16
16
32
8
8
16
32
2
2
1
8
8
8
24
2
2
2
8
8
8
8
8
8
8
8
28
12
4
0
0
0
16
0
8
8
0
1
1
1
1
2
2
19
2
16
0
8
8
4
4
4
4
4
4
4
4
4
16
1
1
1
9
1
16
2
18
0
0
0
0
0
16
16
16
8
8
8
12
8
8
0
0
8
0
0
16
16
2
2
0
0
8
8
4
8
0
0
0
8
8
8
12
4
4
4
0
5
6
6
6
8
8
8
4
0
0
0
0
16
20
16
16
0
0
8
8
8
0
0
0
0
0
0
0
8
0
0
0
8
16
16
0
1
4
4
4
4
4
16
16
16
16
16
16
16
16
16
1
1
1
8
8
8
2
16
8
17
4
8
8
8
0
0
0
16
16
8
8
4
28
28
4
16
16
4
0
0
0
0
0
8
4
4
4
0
0
16
25
1
40
40
40
4
4
8
8
8
8
0
0
0
0
8
0
8
18
18
18
16
1
8
1
1
1
16
8
33
0
0
4
4
24
16
16
16
16
16
4
4
8
8
8
8
8
8
16
0
0
0
0
10
10
16
16
0
1
1
1
1
8
4
38
4
4
4
0
0
0
8
8
8
4
16
16
16
16
4
0
0
0
0
8
16
20
0
0
1
8
8
8
8
10
10
24
24
8
1
1
1
1
1
0
0
0
16
16
16
8
4
4
4
0
1
1
1
1
1
16
0
8
8
8
16
0
0
16
8
0
0
0
2
2
0
0
0
4
4
0
0
8
8
0
0
16
1
17
1
1
4
1
1
1
1
16
0
16
16
8
8
8
8
8
8
8
0
24
8
10
10
10
0
8
8
8
8
8
0
0
0
16
16
8
12
12
12
1
16
1
1
8
8
8
4
4
4
0
0
8
8
1
8
8
8
20
20
0
0
8
0
0
16
16
18
16
16
16
2
8
0
0
0
0
8
24
0
0
0
1
0
0
0
0
0
2
8
4
0
0
0
16
16
16
16
24
0
16
0
8
8
8
8
8
8
8
8
8
31
31
31
0
0
0
0
0
8
8
8
8
8
8
16
8
8
0
16
16
8
8
8
8
8
8
8
8
1
0
8
8
0
8
0
8
8
0
8
1
8
16
16
16
16
8
8
2
2
1
5
5
5
16
0
0
2
2
2
1
1
12
12
1
8
8
8
8
53
0
0
0
16
16
16
16
4
8
8
8
0
4
0
8
0
0
8
0
0
16
0
2
2
0
0
8
8
8
8
8
8
0
0
0
0
0
8
0
0
8
8
2
0
8
8
16
16
0
0
0
1
2
2
32
40
32
32
32
0
8
8
8
40
40
40
40
8
0
0
16
16
8
4
24
16
16
2
36
36
8
8
0
8
12
8
0
8
8
0
0
0
0
0
8
0
16
24
16
8
0
17
17
0
0
0
0
0
10
0
8
8
2
8
0
0
0
0
0
8
1
1
0
4
8
8
8
8
8
8
8
16
16
16
16
8
23
8
0
0
0
3
3
0
18
18
16
4
4
16
24
16
16
0
8
43
0
4
0
0
0
8
8
16
16
16
9
1
0
0
0
8
1
8
0
0
8
26
8
8
8
8
8
0
2
1
3
3
3
17
1
8
8
8
1
1
16
16
16
4
4
8
8
8
8
21
4
16
9
25
16
0
0
27
19
19
19
4
4
8
8
8
24
16
16
0
16
16
0
8
0
9
8
8
16
8
10
8
0
0
0
0
24
0
8
8
0
8
8
0
0
4
20
17
8
8
8
1
4
4
4
4
4
4
0
8
8
8
16
1
0
8
8
8
4
0
4
4
4
4
4
0
37
37
37
37
37
1
4
1
9
9
20
20
6
6
0
16
8
1
0
20
20
4
8
8
8
8
8
42
0
40
40
18
16
62
0
8
8
8
32
17
4
8
8
4
4
0
0
0
17
0
16
0
32
2
2
2
0
0
4
0
0
0
0
33
8
8
4
0
0
0
0
0
8
8
0
0
16
16
16
16
8
8
8
8
0
16
8
32
8
5
5
5
5
8
16
0
1
1
1
8
8
8
8
16
16
16
16
2
2
0
0
0
0
8
0
8
8
1
1
1
1
8
8
8
8
8
8
0
16
16
16
2
2
2
0
1
8
8
0
1
8
8
8
17
17
17
10
0
0
0
0
16
16
2
2
2
16
18
0
8
0
2
2
0
0
0
8
8
10
10
0
17
16
16
28
24
24
4
4
4
1
39
33
0
0
0
0
0
0
0
8
8
8
0
0
16
0
0
8
8
8
8
4
4
0
0
8
8
8
8
16
16
16
16
0
8
8
16
0
0
57
57
16
16
16
16
0
16
16
16
16
8
8
8
36
4
4
8
16
0
0
4
16
16
16
16
16
16
16
16
16
16
16
0
32
1
33
8
8
2
2
8
0
0
16
0
16
16
8
16
16
1
8
8
2
2
2
0
0
0
16
16
1
1
1
8
8
4
4
4
12
0
0
0
5
5
5
56
0
0
0
2
8
16
16
8
8
8
8
0
32
12
4
16
0
4
16
16
16
16
5
16
8
0
0
0
0
2
23
24
16
0
16
16
16
16
16
16
16
16
16
16
16
8
8
0
0
0
1
1
0
24
26
8
8
8
8
0
0
0
8
8
0
0
0
0
16
16
16
16
8
8
8
0
0
32
4
8
16
0
0
36
36
0
0
0
1
1
2
2
20
20
0
0
0
16
16
2
2
0
8
8
16
0
0
0
4
4
4
16
8
0
24
0
0
34
8
8
2
2
2
2
2
0
0
0
4
4
4
4
8
24
10
4
4
4
48
16
3
16
10
0
12
36
0
0
0
0
16
24
8
0
0
16
8
8
8
0
18
0
16
16
4
4
8
8
8
8
0
8
0
20
20
20
20
0
8
0
16
8
24
36
8
8
8
16
24
8
8
8
16
8
4
2
2
8
8
8
5
0
16
16
4
0
4
4
4
4
24
24
36
36
36
44
36
36
36
16
16
0
0
0
0
0
2
2
6
8
0
4
4
4
0
8
24
24
0
0
0
0
40
0
8
8
0
2
2
0
0
0
0
0
0
0
8
0
16
16
16
16
16
16
0
8
8
0
0
0
1
1
32
0
16
0
8
16
0
8
8
8
8
8
8
1
0
0
0
4
4
12
8
0
8
8
8
4
4
4
4
11
3
8
0
8
8
8
8
2
13
13
13
13
8
0
1
1
8
2
2
10
8
8
8
8
4
4
4
4
2
0
4
16
8
8
8
0
4
8
16
16
16
16
8
0
0
0
16
0
8
2
2
2
2
0
0
8
24
16
16
8
8
8
4
36
32
32
32
0
24
12
0
20
16
0
0
4
0
0
0
0
8
8
8
8
8
16
1
1
0
1
1
1
1
8
8
16
2
2
2
2
8
8
8
0
4
0
0
0
8
8
0
0
0
18
8
8
1
1
0
0
1
1
16
8
8
13
13
13
8
8
8
0
12
12
12
8
4
0
10
2
8
8
8
8
8
8
4
0
6
1
1
1
8
16
16
16
16
16
16
16
4
16
16
16
1
24
24
24
24
0
8
8
8
8
8
12
8
16
16
0
0
0
0
4
4
4
4
0
1
8
8
8
8
0
16
16
16
0
0
0
1
1
24
24
24
4
12
12
12
0
8
8
8
1
25
8
0
0
0
0
16
16
8
0
0
8
8
8
8
8
16
24
16
16
8
8
8
2
0
8
8
16
2
16
18
16
8
0
8
0
0
8
8
10
10
10
2
8
0
0
0
0
0
0
8
0
0
0
16
16
16
16
16
16
16
0
0
4
4
4
8
4
16
16
16
8
8
8
16
16
16
16
16
8
8
0
24
4
8
8
8
8
8
8
8
8
16
2
2
48
16
48
48
48
32
48
0
0
16
0
16
16
4
8
8
0
4
4
4
3
0
2
2
2
8
2
8
0
0
8
16
16
8
1
1
1
1
1
1
1
1
1
0
2
2
2
2
0
17
17
8
8
18
0
0
0
0
0
0
8
8
8
5
29
5
5
20
20
8
8
0
8
6
14
32
32
48
32
1
1
4
4
4
4
8
8
4
4
20
4
0
0
0
0
25
8
0
0
24
0
0
3
2
0
0
0
0
0
0
0
0
0
0
6
0
0
16
16
16
16
24
24
8
8
0
8
8
8
8
8
32
32
0
16
16
8
8
24
16
16
1
1
0
16
16
0
9
20
16
0
0
0
9
1
1
1
1
8
0
8
0
0
0
0
24
24
0
0
0
0
1
1
1
0
0
0
0
0
4
4
4
8
24
8
8
8
2
2
2
2
9
8
9
6
4
4
6
0
8
0
0
0
0
0
0
0
24
24
16
8
0
0
0
0
6
32
8
1
1
1
1
8
0
8
0
8
16
17
16
16
16
2
4
0
0
1
32
33
20
16
40
32
32
16
16
16
8
8
2
8
10
10
10
0
0
0
0
8
8
1
0
0
0
0
24
24
16
16
16
0
0
16
16
8
0
32
0
0
16
16
16
16
16
16
0
8
8
8
1
0
24
0
8
8
8
8
4
9
0
0
1
16
0
6
1
1
0
0
32
32
32
50
50
50
50
8
8
8
8
0
0
0
50
34
34
2
2
9
0
8
8
8
8
8
8
2
2
8
8
0
4
4
4
4
16
4
4
24
8
8
16
8
8
8
8
8
2
28
28
28
4
8
16
16
24
0
0
0
16
2
2
2
8
8
6
6
6
8
8
8
8
8
1
1
1
0
8
0
0
0
21
4
4
4
4
8
8
8
8
8
8
16
16
16
16
16
16
0
0
0
16
0
0
0
16
16
16
16
16
16
0
4
0
4
4
4
4
4
4
0
0
24
24
8
24
4
4
10
0
0
0
0
0
0
2
2
0
8
0
0
0
0
20
20
20
20
1
1
1
8
8
1
1
8
8
2
2
1
1
0
0
1
4
4
4
0
0
0
0
1
8
8
4
0
16
0
8
4
4
16
16
0
16
16
16
0
0
24
1
0
4
4
0
0
0
8
8
8
0
4
4
24
28
8
0
0
0
0
0
8
8
8
8
0
0
24
24
8
8
8
16
24
24
10
10
0
0
4
38
0
8
8
8
1
1
0
8
8
0
0
8
0
0
8
16
32
0
16
1
4
4
1
9
4
4
4
4
4
16
8
8
8
8
0
0
16
20
16
16
8
8
8
16
4
16
16
16
8
4
4
4
4
32
32
0
17
2
1
0
0
0
8
8
24
16
16
16
0
8
1
0
8
4
4
8
16
16
16
8
2
2
2
2
2
2
16
16
0
0
8
16
0
8
8
8
4
0
0
16
20
16
16
16
16
16
16
16
0
0
0
16
16
16
8
8
8
8
8
12
8
8
16
16
0
16
16
16
16
16
8
8
1
28
8
0
32
6
38
32
32
0
1
8
8
8
0
0
0
16
0
0
8
0
16
2
2
1
1
1
1
8
8
8
0
0
1
1
10
8
8
0
40
28
4
0
8
24
0
0
8
8
2
6
2
0
0
0
0
0
0
32
4
2
2
2
2
1
8
4
40
16
16
0
0
0
16
16
26
16
16
0
0
18
0
0
0
32
32
1
1
0
16
16
16
16
16
0
0
0
0
8
1
1
24
18
18
18
2
18
9
20
20
0
10
10
10
16
16
16
8
1
8
2
8
0
0
0
8
9
9
0
0
8
8
8
8
0
8
0
0
16
16
16
16
24
24
24
24
24
0
8
0
1
8
16
0
0
0
0
8
8
4
0
0
0
1
16
20
16
16
16
8
0
4
20
20
0
16
59
16
16
16
8
8
8
0
4
1
8
8
8
8
8
8
8
0
0
0
0
4
8
16
4
8
8
1
1
1
16
8
0
0
0
0
0
4
8
0
0
24
8
8
8
8
8
0
8
8
8
8
2
16
8
1
0
1
1
1
16
16
0
0
0
8
1
16
8
8
8
8
8
8
8
16
16
16
9
9
9
2
8
4
4
4
0
0
10
16
8
16
16
8
8
8
8
8
8
33
33
16
16
16
16
0
2
1
1
10
8
8
8
0
8
16
32
0
16
16
16
0
8
8
8
6
6
6
6
17
8
8
8
8
8
8
8
8
1
1
1
16
16
16
32
0
16
8
0
0
0
3
3
8
8
8
1
0
16
0
8
8
8
0
0
8
20
20
20
20
16
0
0
1
0
0
0
2
2
2
2
16
16
16
0
16
16
8
8
6
2
1
4
16
16
2
4
1
0
0
8
8
0
32
20
0
8
2
2
2
12
16
0
8
8
0
16
16
16
16
16
1
0
12
0
0
35
0
16
16
8
8
16
0
0
0
16
4
4
4
0
16
8
8
8
0
16
16
0
18
22
0
8
8
4
4
1
1
1
1
24
24
4
16
16
32
4
0
0
0
4
2
2
25
1
1
1
1
1
0
0
8
8
8
8
16
20
16
8
16
8
16
8
0
8
8
8
8
8
8
8
8
8
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
8
16
16
16
16
16
8
8
0
0
0
4
4
16
16
0
0
0
8
8
24
16
16
16
16
0
0
16
24
16
0
16
16
0
0
0
0
0
5
0
0
0
17
16
16
16
17
2
2
8
8
8
8
8
8
8
8
8
0
0
0
8
12
4
4
8
8
8
8
8
16
4
4
16
16
0
0
0
8
8
8
8
28
28
0
9
4
1
1
1
8
0
0
0
8
4
4
4
4
16
16
16
0
8
0
0
16
16
16
0
8
0
0
0
0
16
16
16
8
8
4
4
0
16
16
16
0
0
1
1
1
1
1
1
0
0
24
24
8
8
8
8
8
8
0
8
8
8
21
21
8
16
16
2
0
0
0
0
0
0
0
8
0
0
0
0
16
16
18
8
8
8
16
0
8
8
8
8
0
0
4
4
8
6
0
20
20
20
16
0
0
1
1
0
0
1
1
1
1
1
0
20
20
6
6
24
16
16
4
8
8
8
8
8
32
32
0
0
24
24
8
58
0
16
2
0
4
4
4
4
4
4
4
4
4
4
8
8
8
8
8
8
8
0
16
8
8
0
0
0
0
9
8
1
1
1
1
8
8
8
8
8
8
33
33
33
24
24
0
0
0
0
16
0
0
0
0
4
4
4
4
4
4
16
4
1
1
1
20
4
0
0
4
16
0
16
16
8
8
8
8
8
8
8
8
0
0
16
16
16
16
8
8
8
8
8
8
8
8
8
8
8
0
0
0
8
8
8
8
8
8
0
0
16
16
0
1
16
16
0
4
4
0
0
16
16
16
24
16
16
8
28
28
0
16
16
16
0
0
0
0
0
0
0
24
16
8
0
8
32
4
4
37
5
8
8
8
28
0
8
8
16
16
16
16
16
12
0
4
4
8
8
8
8
1
16
0
0
2
2
0
1
0
0
0
0
16
0
0
19
48
48
16
16
0
0
0
0
0
8
0
8
8
4
1
0
0
0
8
8
8
8
8
0
0
0
12
12
0
8
8
9
8
8
6
8
0
32
32
32
0
0
0
0
0
5
5
5
5
10
10
0
16
10
10
8
8
8
0
0
0
0
24
8
24
4
10
10
8
8
24
24
8
16
8
2
1
0
16
34
34
8
8
16
16
16
16
16
8
8
8
0
12
17
0
0
0
0
0
8
8
0
0
18
8
0
16
16
12
12
1
10
10
10
10
8
8
8
8
30
8
1
40
40
0
0
16
16
0
24
8
16
8
8
8
8
8
8
8
8
8
8
16
16
16
4
8
8
0
1
1
8
8
4
4
4
2
2
16
16
0
32
56
32
8
16
16
16
1
8
8
0
0
8
8
8
8
8
8
8
0
4
8
10
16
0
0
0
16
16
13
8
8
16
8
8
2
2
2
4
18
8
8
0
8
8
0
4
24
8
8
8
0
4
4
0
0
20
20
20
20
16
16
16
16
16
0
8
8
8
8
0
8
8
0
8
8
8
20
8
8
0
0
8
32
0
0
17
16
8
8
8
9
16
16
0
0
32
8
4
12
16
0
4
4
4
4
16
16
16
4
8
8
8
0
16
2
8
8
8
0
16
8
2
3
3
8
8
8
8
8
8
0
8
20
0
8
8
8
8
8
4
8
4
4
0
8
0
0
0
0
8
1
1
0
0
8
8
8
8
8
8
16
16
16
16
16
16
8
8
0
16
4
8
16
16
16
8
3
8
0
32
32
16
16
0
1
1
8
8
16
5
5
5
5
17
8
24
8
40
0
16
16
0
0
0
16
16
16
0
8
8
0
0
0
0
0
0
2
2
2
2
2
24
8
8
16
16
16
16
0
8
8
8
6
0
0
0
0
4
0
0
2
0
16
2
4
16
19
3
0
1
8
8
2
19
19
8
12
12
12
12
21
29
8
8
8
8
8
16
16
4
16
4
4
4
8
0
0
0
0
16
0
8
0
4
8
8
4
2
16
16
16
16
16
16
3
0
16
4
20
16
4
4
8
8
8
0
8
4
0
8
0
0
16
16
16
16
24
16
0
8
8
8
0
2
32
32
8
8
12
12
8
16
4
4
4
4
1
8
8
3
2
0
17
0
0
0
16
0
16
28
22
22
22
8
8
8
8
8
8
0
0
16
8
32
16
0
8
8
8
16
0
0
8
8
8
12
0
8
0
32
0
2
4
4
0
0
0
32
16
8
4
4
4
4
4
0
8
0
0
0
0
4
4
4
4
8
8
16
8
8
8
8
8
8
8
8
0
1
1
1
8
2
2
2
2
19
2
0
8
0
8
2
4
8
8
8
8
0
1
0
0
8
8
24
24
8
8
8
8
24
24
24
24
0
0
0
8
0
0
8
8
8
8
0
8
8
1
0
0
0
0
0
0
0
0
0
8
1
1
8
0
8
16
16
16
16
16
2
2
8
8
48
48
48
0
0
0
2
2
2
16
16
16
4
4
20
0
0
2
0
0
0
12
12
0
32
0
1
16
16
8
1
1
8
1
1
16
5
5
5
5
0
16
2
16
24
16
0
8
8
8
0
8
8
16
16
16
16
16
16
8
12
16
16
16
0
0
8
16
0
0
0
24
8
8
40
8
0
4
4
0
1
26
0
0
8
8
8
8
8
16
16
16
16
16
16
16
8
8
8
16
16
16
8
8
8
0
0
1
1
0
4
4
8
6
1
1
4
4
8
0
0
26
0
16
0
2
42
2
8
8
8
8
8
11
0
16
16
16
4
0
8
8
0
0
16
40
0
4
16
24
16
16
0
0
8
8
8
8
4
8
0
16
16
16
16
16
16
16
16
16
8
8
2
2
8
0
0
0
0
0
0
0
8
8
8
0
0
1
1
1
1
0
4
4
4
16
8
0
0
0
0
8
8
8
8
16
0
5
1
1
0
0
0
24
0
8
0
0
16
1
17
0
0
16
8
8
8
0
0
8
8
4
4
16
8
8
8
0
16
16
4
4
4
8
8
8
0
0
0
16
16
16
0
2
8
4
12
4
8
24
8
1
12
0
0
16
16
16
16
8
8
1
10
8
8
8
19
24
24
24
4
0
0
0
0
0
0
0
0
18
0
4
16
16
16
8
8
1
1
1
16
18
2
5
1
16
16
0
2
2
2
0
0
0
0
0
2
1
1
0
0
0
0
0
16
16
16
16
16
0
0
0
8
8
8
14
0
0
20
8
20
20
16
16
12
12
12
16
16
16
1
1
1
1
16
16
57
16
4
0
0
0
8
8
2
0
0
0
0
8
8
0
1
1
1
16
8
8
9
9
1
16
16
8
8
8
8
8
21
21
0
2
2
2
16
0
0
0
0
0
2
16
0
0
0
0
0
16
0
0
16
16
20
16
16
0
8
8
8
0
8
0
8
32
16
32
0
0
8
6
6
6
6
0
0
0
16
16
8
8
4
6
16
16
16
16
17
17
1
1
1
1
1
4
4
4
24
24
16
0
0
4
0
0
0
0
8
8
8
4
0
0
0
0
0
8
8
0
8
8
8
8
1
4
4
4
4
4
8
8
0
0
0
0
8
8
16
2
4
4
12
16
2
16
16
16
16
4
8
26
26
4
4
0
0
0
8
8
8
8
0
33
0
20
20
8
8
8
8
2
8
4
0
0
0
0
8
8
8
8
0
0
0
0
0
2
2
0
0
8
8
8
0
8
8
8
8
8
8
8
8
8
8
1
4
4
0
8
8
8
8
8
8
20
0
32
8
2
8
8
8
8
8
8
16
16
0
1
0
0
8
16
16
16
16
0
0
17
17
17
17
16
16
1
1
0
4
4
4
4
16
24
24
0
8
8
8
8
8
8
8
8
8
8
0
0
0
0
8
1
0
0
25
16
16
2
0
53
0
0
8
8
8
8
0
4
8
8
8
8
2
8
0
0
16
8
0
0
0
0
0
0
16
16
2
0
29
24
1
24
1
0
16
16
16
41
33
32
2
2
2
0
6
2
8
0
0
8
8
1
0
0
4
0
0
0
24
24
0
0
0
8
8
8
0
40
40
40
40
40
32
33
0
16
16
16
16
16
8
8
8
8
8
8
8
20
0
8
20
4
18
18
25
0
0
0
32
8
8
8
0
0
24
24
24
24
32
32
8
8
0
0
0
0
0
1
1
0
8
0
0
4
16
16
2
1
1
1
13
4
4
4
8
8
8
8
8
0
0
0
0
0
0
8
8
0
0
8
8
4
2
0
0
0
16
16
8
8
8
8
0
8
8
8
8
8
0
2
2
4
20
20
5
5
0
0
8
1
1
1
1
1
1
1
8
8
8
15
8
0
0
16
16
8
8
8
8
8
8
8
8
8
16
8
8
8
0
0
0
8
8
8
8
0
8
4
8
0
16
16
8
8
16
8
8
8
8
8
8
8
4
4
0
0
18
0
2
32
8
4
4
20
8
8
8
8
0
8
8
8
8
1
1
1
0
0
8
4
0
8
8
8
12
12
8
16
2
6
0
0
8
8
17
0
8
8
0
0
0
16
0
4
10
1
8
16
16
0
8
8
8
8
16
16
16
0
32
40
34
0
0
8
8
32
48
8
16
16
16
8
0
0
16
8
16
16
0
0
8
8
8
0
8
8
8
8
8
24
8
0
0
61
8
8
8
4
16
16
16
0
8
8
8
8
16
16
1
1
1
24
24
24
24
19
0
8
8
16
16
16
1
16
1
16
16
40
32
32
0
32
32
18
18
0
24
16
16
16
16
16
16
16
5
12
12
8
8
0
0
0
4
4
4
4
8
16
1
1
56
56
8
8
8
20
20
8
2
2
2
2
8
8
8
0
1
1
1
0
0
0
0
16
16
4
4
16
0
60
60
8
8
8
8
0
0
0
8
16
32
48
8
8
8
8
8
0
4
8
0
0
0
0
8
8
8
16
24
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
4
8
8
16
16
24
8
0
0
0
8
8
8
8
0
16
0
0
8
8
8
0
0
0
0
0
0
0
0
0
8
12
12
0
8
16
0
4
4
4
8
16
16
16
0
4
4
0
0
0
0
16
0
0
0
0
16
26
26
16
16
8
16
16
8
8
8
0
0
16
16
8
4
4
24
4
5
8
8
1
16
8
8
8
8
0
1
1
1
4
8
8
8
8
8
8
8
8
4
4
4
4
16
0
4
8
8
8
8
8
0
24
16
4
4
4
4
0
16
16
16
8
8
8
8
9
8
8
8
0
24
24
24
0
0
0
0
0
0
8
8
0
9
8
16
0
0
0
4
4
4
4
0
16
16
0
16
17
0
16
16
0
16
8
8
8
8
8
8
0
21
21
21
1
1
1
8
0
0
0
0
0
0
0
1
0
0
0
4
16
4
4
4
0
8
8
0
1
8
8
8
8
8
8
8
0
8
8
8
0
0
10
0
8
8
8
8
8
0
8
8
1
16
16
1
1
1
1
4
8
16
16
16
16
16
10
11
0
0
40
0
0
0
8
8
0
0
0
0
0
0
0
8
8
8
24
8
8
1
8
8
1
8
0
0
17
16
0
4
16
0
2
0
0
0
16
16
8
0
0
4
4
4
8
8
8
16
16
4
4
16
16
16
16
16
16
16
16
16
16
16
16
4
4
16
16
24
24
24
24
0
34
16
0
16
9
2
2
2
2
16
0
0
4
4
0
0
0
2
0
0
8
0
8
8
0
16
32
0
0
0
8
8
16
8
8
8
8
0
0
0
8
0
0
0
0
0
0
16
16
16
16
13
16
16
16
6
8
0
20
20
20
8
16
4
4
4
4
8
8
16
16
4
4
4
2
16
24
8
8
1
8
8
2
16
16
0
12
0
0
8
0
32
0
0
0
8
8
8
8
0
8
8
8
8
8
8
8
8
8
0
1
0
16
16
24
0
0
0
0
16
1
1
8
8
8
8
8
16
16
16
0
0
0
0
0
0
1
2
8
4
4
28
0
16
0
8
2
2
8
8
8
8
0
1
16
16
16
16
16
16
2
0
0
0
0
8
8
8
8
8
8
0
16
10
16
0
0
8
8
8
8
21
8
8
8
16
16
4
4
4
16
16
16
16
16
16
0
0
0
0
24
24
16
25
0
16
0
0
16
16
16
16
16
8
8
16
16
9
0
16
16
0
0
36
36
1
1
1
1
1
52
4
4
4
4
1
1
1
1
4
16
16
16
0
0
0
0
0
0
19
19
0
0
0
0
0
0
0
8
8
8
8
8
24
24
24
16
16
16
16
0
0
19
8
8
8
8
0
2
1
1
1
0
24
8
8
8
8
8
8
17
17
17
24
4
4
13
24
8
8
16
8
8
8
8
8
16
16
16
0
8
8
10
8
3
3
16
16
16
0
8
4
4
16
16
16
8
8
0
40
8
16
8
8
32
32
0
8
8
8
0
32
8
8
8
8
8
8
8
8
8
8
1
1
1
0
0
0
24
24
2
8
8
8
8
8
16
0
16
16
16
16
16
16
16
16
16
8
8
8
8
8
0
16
16
16
16
2
2
2
4
8
4
8
8
12
12
0
0
0
4
4
2
2
0
0
0
0
8
8
8
8
0
10
0
0
16
16
16
0
0
0
0
0
0
0
0
16
1
1
8
1
16
1
4
4
0
8
8
8
8
16
16
16
0
0
0
8
16
20
20
16
8
0
16
16
8
8
16
0
4
4
24
0
0
8
0
0
0
1
1
1
24
0
16
16
16
0
18
18
16
16
0
0
0
4
4
0
0
16
16
8
8
16
16
16
16
8
8
8
8
16
16
16
28
28
8
16
16
16
16
16
16
16
8
18
18
18
8
8
8
8
16
16
16
16
16
8
16
16
0
8
8
44
44
0
0
0
8
8
16
17
0
0
0
8
0
0
0
0
0
0
8
8
8
1
16
0
8
16
0
8
8
8
8
0
0
4
4
8
0
0
0
12
4
4
4
4
16
16
16
16
16
8
32
32
0
0
0
3
3
8
0
9
8
8
8
8
0
0
0
24
24
16
16
0
8
8
2
2
2
2
0
0
0
0
0
4
0
8
1
0
32
32
0
2
2
16
0
12
12
12
12
8
1
1
1
0
24
24
8
8
0
18
8
8
8
0
0
4
12
0
0
0
1
28
8
4
16
16
16
16
24
24
24
24
24
16
4
4
4
4
0
8
8
8
4
16
33
3
3
3
0
8
8
8
8
16
8
8
1
1
1
1
0
0
0
4
0
18
8
32
1
1
0
18
24
24
0
0
0
0
32
17
0
8
8
0
0
0
0
0
0
0
0
0
0
0
17
16
0
0
0
4
4
0
0
8
8
0
0
0
0
8
8
0
0
8
1
1
1
1
1
4
4
20
0
8
8
8
8
0
0
0
1
16
16
8
8
8
8
8
16
2
2
29
16
8
8
8
8
8
8
4
4
4
4
4
4
28
8
8
8
0
0
2
2
0
1
1
0
12
12
0
8
0
8
4
4
4
18
4
4
16
0
8
8
8
8
16
16
16
16
16
0
8
16
0
0
0
0
0
8
8
0
16
4
4
8
12
8
2
2
16
4
4
4
0
0
0
21
8
0
8
8
4
4
16
16
0
8
0
16
16
16
8
8
8
0
9
8
0
0
0
0
8
8
8
8
8
8
8
8
0
0
0
0
0
16
16
32
28
48
48
48
48
48
48
48
2
0
32
0
1
1
1
3
16
0
16
16
8
0
8
8
8
8
8
0
8
8
8
8
8
0
0
16
16
0
4
4
4
38
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
22
20
0
6
6
0
0
0
28
28
28
0
2
2
16
16
4
6
0
1
1
0
0
4
8
16
16
16
16
0
0
0
0
0
16
20
20
8
20
4
0
0
0
0
0
11
16
16
16
16
0
8
8
1
0
16
4
4
0
0
0
0
8
20
0
0
0
8
1
1
1
0
0
8
8
2
0
0
0
16
4
0
16
0
16
4
4
0
8
8
8
8
12
12
12
2
8
0
0
0
16
16
16
16
32
18
18
0
16
0
16
0
0
8
8
8
46
0
0
0
0
8
8
0
17
16
8
4
4
4
4
4
4
4
16
32
32
0
24
16
16
16
1
1
1
1
1
1
0
0
8
0
0
0
0
1
2
2
2
16
2
24
8
0
4
4
4
8
0
16
16
2
16
16
0
2
2
2
16
16
8
8
8
8
16
1
0
0
8
16
0
0
16
16
16
0
0
0
16
0
8
8
8
8
8
8
0
0
16
16
0
0
0
1
4
4
0
8
8
8
16
16
4
4
17
49
1
16
16
16
16
16
16
16
1
2
2
8
12
16
8
8
0
2
2
0
2
0
20
4
4
24
0
8
24
24
16
2
0
0
0
8
2
2
19
1
25
25
9
9
1
0
0
0
0
16
32
0
1
0
16
16
2
2
0
16
8
8
8
8
8
8
0
0
24
16
0
8
0
0
4
16
16
16
16
0
16
16
8
0
8
0
24
8
1
1
1
1
26
2
12
8
8
32
32
0
8
8
0
0
0
1
1
1
1
1
1
1
8
8
16
0
16
16
1
8
8
8
16
16
8
0
8
16
16
0
0
0
0
24
16
16
1
1
8
0
0
10
0
0
8
8
0
4
4
2
16
16
16
16
0
0
0
0
0
0
32
0
20
16
0
1
2
0
8
8
8
8
8
4
28
8
8
0
8
8
18
0
0
16
0
8
8
8
0
0
0
0
0
0
0
0
0
8
8
0
0
0
1
8
8
4
4
0
0
0
0
4
0
0
0
0
0
6
6
6
0
16
8
8
8
5
0
0
0
0
16
16
0
0
0
8
8
8
8
8
8
8
8
16
16
16
24
16
8
8
8
0
2
2
2
2
2
18
18
24
8
0
0
4
8
0
0
8
24
8
8
16
8
8
8
0
1
1
1
16
16
0
16
4
4
8
8
8
8
8
4
4
4
4
0
1
9
5
0
1
1
0
0
0
1
1
1
16
0
0
22
22
22
0
0
8
21
16
0
0
0
4
1
4
4
4
4
4
4
4
8
8
8
8
0
8
0
0
2
8
8
4
16
0
0
8
4
4
16
0
8
6
8
8
0
0
16
16
2
8
8
4
0
16
1
1
0
0
4
4
20
16
20
4
8
0
0
11
11
11
32
1
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
8
8
8
8
8
0
16
2
8
0
0
0
8
0
0
0
0
0
0
0
0
0
0
8
20
20
0
0
16
8
8
8
8
32
32
56
56
8
0
0
0
20
0
0
16
8
8
2
8
0
8
16
25
25
4
4
17
17
0
0
0
0
0
0
16
8
8
8
8
4
4
4
4
4
8
0
4
20
4
4
8
8
8
8
16
16
0
0
16
16
16
16
8
8
8
55
55
55
16
4
4
4
4
0
12
8
8
8
8
8
8
8
8
8
0
0
8
8
0
0
0
16
16
16
0
16
16
0
8
20
6
0
2
1
5
1
0
16
4
16
0
20
16
0
4
4
32
16
0
8
8
1
0
8
8
8
8
0
2
0
0
16
16
16
36
4
0
16
16
16
16
0
2
2
2
0
2
2
2
16
8
0
8
8
8
8
0
3
0
2
0
0
1
21
12
12
0
8
0
8
8
8
8
8
8
8
8
8
8
32
32
2
2
32
2
4
16
16
4
4
4
0
0
0
8
8
16
16
4
4
0
17
16
8
8
8
2
0
0
8
8
8
24
0
0
0
8
8
8
8
8
12
8
8
28
18
18
40
40
40
40
0
0
24
24
0
0
0
4
16
0
0
32
32
32
8
8
8
8
8
8
9
0
8
53
16
4
0
17
2
2
10
8
24
8
0
0
0
8
8
16
15
0
0
4
8
8
4
8
8
8
12
12
12
0
0
16
16
4
0
2
1
2
20
12
4
0
0
0
0
0
8
0
8
8
16
20
8
8
8
0
0
8
2
2
16
16
0
0
4
4
20
8
8
16
16
16
16
16
16
16
16
16
8
8
8
8
0
0
16
0
8
8
8
12
12
12
12
16
16
16
0
0
16
16
8
8
8
8
1
8
8
0
8
8
16
0
0
8
8
8
16
1
1
16
4
8
8
8
8
8
8
8
8
2
2
8
8
8
9
9
8
4
0
4
8
8
4
4
0
0
8
8
0
0
0
0
0
0
8
8
0
16
32
24
0
0
16
16
0
0
0
0
8
8
8
0
0
8
24
0
0
0
0
0
16
16
2
0
0
6
12
4
16
16
8
8
16
0
8
8
0
0
8
8
8
8
17
0
16
1
4
4
4
4
4
1
0
8
0
1
4
4
0
0
0
0
16
8
8
8
8
8
8
8
16
0
8
8
16
16
16
8
8
4
4
0
0
16
8
8
8
32
32
16
0
8
16
0
16
16
0
4
4
16
16
5
4
4
16
8
8
1
1
8
16
16
1
1
4
4
0
16
4
0
8
0
1
0
16
16
16
8
8
8
4
4
16
0
8
16
16
6
16
16
16
16
8
2
2
12
0
8
8
0
0
16
0
0
24
2
2
2
8
8
8
0
8
1
8
16
16
8
0
8
8
40
8
8
25
25
32
32
0
8
8
0
8
8
8
8
8
8
8
4
20
16
8
16
16
8
16
16
56
0
0
24
16
16
8
2
0
0
0
16
16
16
16
0
16
18
1
24
0
0
0
8
0
8
8
8
8
16
16
16
24
0
4
32
32
32
32
32
16
16
16
16
16
17
16
8
8
8
8
32
17
25
25
25
2
2
2
1
1
1
1
1
8
8
0
0
0
4
8
8
0
1
1
0
16
4
8
8
6
4
4
0
0
8
8
8
1
16
16
0
8
8
0
8
36
36
36
8
8
20
20
0
4
8
8
8
0
8
8
8
4
8
8
8
8
0
8
0
0
0
0
0
0
16
16
16
24
1
8
0
0
0
0
33
33
4
20
16
2
2
8
4
4
4
4
9
1
16
4
4
0
18
16
0
0
16
16
16
8
1
1
0
0
0
0
8
8
21
16
0
8
8
16
16
16
16
8
8
1
1
8
6
0
0
0
0
24
0
8
8
8
8
32
24
24
24
24
16
0
8
8
8
0
9
8
8
8
8
16
1
8
16
16
16
1
39
7
8
8
8
8
0
8
0
20
0
0
8
4
8
8
16
0
16
4
8
8
16
0
0
0
0
16
2
2
2
0
1
0
12
8
8
0
0
0
0
8
8
8
8
8
13
13
13
9
9
9
4
4
1
1
32
8
17
17
1
1
0
0
4
8
8
8
8
0
0
0
0
8
4
8
8
10
0
0
0
0
16
0
1
1
0
0
8
8
0
0
0
0
32
32
32
0
28
28
0
0
0
0
16
0
0
0
8
8
0
0
0
24
0
0
0
8
8
8
8
8
16
2
2
16
16
16
16
0
8
2
2
0
1
16
16
16
16
16
8
8
8
8
8
0
8
8
8
8
8
0
2
9
1
1
1
1
4
8
8
1
1
27
16
24
16
16
16
16
16
16
16
16
16
16
0
16
24
16
16
24
8
12
12
12
4
12
12
12
8
0
8
8
8
2
2
2
8
8
16
8
4
4
4
0
8
20
20
8
32
32
32
16
16
0
1
0
0
0
16
16
16
32
32
0
0
4
8
8
8
8
8
8
16
0
34
0
0
0
0
1
1
8
4
8
8
1
1
1
1
1
1
8
8
5
5
5
5
5
5
8
16
16
1
16
0
4
5
4
1
4
8
8
8
8
0
0
0
8
8
0
0
0
8
16
8
8
8
0
34
34
34
0
53
8
0
16
18
4
0
0
8
2
2
2
0
0
16
8
8
34
1
1
1
1
16
16
16
0
0
16
16
2
0
16
16
16
0
8
8
8
8
0
0
0
0
0
0
0
2
2
8
24
8
0
0
0
0
0
0
8
16
16
16
16
16
0
24
8
12
12
2
2
1
1
1
8
24
8
16
8
16
0
4
4
4
0
0
32
32
4
8
8
2
2
0
8
0
2
1
16
16
16
16
0
8
0
4
4
0
10
10
10
3
3
0
0
8
8
8
8
0
8
16
0
16
16
2
0
16
8
24
1
4
0
0
12
32
24
4
0
0
0
0
0
8
8
8
8
0
8
0
0
1
16
16
16
0
8
8
8
16
16
16
48
16
16
0
0
0
8
16
16
16
8
8
0
0
0
8
8
8
1
1
0
4
0
16
1
1
2
0
16
0
0
0
0
0
0
8
14
8
8
8
8
8
16
16
16
8
4
4
8
8
5
5
5
5
16
0
0
0
0
0
0
4
8
0
2
2
16
16
16
16
16
4
8
8
8
0
6
8
8
16
4
4
16
0
0
8
8
8
24
0
0
1
1
0
8
0
16
16
5
5
1
8
8
1
1
1
1
1
16
0
0
0
8
8
10
10
8
8
8
0
4
8
0
8
24
0
20
4
4
0
0
8
0
8
8
40
8
24
8
16
16
16
8
8
8
8
8
0
16
24
8
8
0
8
8
8
8
8
4
4
4
4
16
16
16
16
8
2
0
0
0
8
33
33
33
33
16
16
1
32
9
9
9
0
0
6
21
0
0
8
8
16
16
0
0
12
0
8
8
8
16
16
16
16
16
0
0
16
16
16
32
32
32
32
0
0
0
0
8
0
26
26
26
26
26
2
8
8
0
8
8
8
8
4
4
8
0
2
2
2
2
2
16
8
8
16
16
16
32
8
8
16
20
16
0
1
32
2
16
8
8
16
16
0
16
16
16
0
8
17
8
16
16
16
1
8
16
16
0
8
8
8
2
2
2
0
0
16
0
8
0
0
8
8
8
8
8
4
28
0
0
8
32
4
2
8
8
8
16
16
16
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
41
41
16
16
16
0
16
4
8
8
0
0
8
8
8
0
8
24
16
16
16
17
17
0
0
0
8
0
8
1
4
4
32
8
40
40
0
0
4
4
4
4
8
4
4
18
8
8
0
16
8
40
8
16
0
0
16
16
0
8
8
8
0
16
0
8
8
24
5
5
16
8
8
8
4
4
8
8
0
0
32
8
28
4
4
16
0
8
16
16
16
16
16
16
8
8
8
0
8
8
24
18
18
0
0
16
16
24
8
8
8
8
8
8
24
0
8
4
4
0
21
21
16
16
8
16
4
16
16
0
0
32
2
0
0
0
8
16
16
16
0
8
8
8
0
0
16
0
8
8
8
0
0
0
0
0
16
16
16
16
1
1
0
0
0
8
8
8
8
8
8
8
1
1
0
0
1
8
8
0
24
8
8
0
0
8
0
2
2
2
0
18
18
0
0
16
24
24
8
8
0
0
0
16
0
16
42
8
16
24
24
8
4
4
20
4
4
4
0
16
16
8
12
0
0
0
0
4
0
8
8
45
45
48
16
16
0
0
16
16
0
8
8
8
8
16
12
32
24
0
8
8
8
0
0
0
0
8
8
0
4
17
17
8
5
5
16
4
4
8
8
0
4
4
0
0
4
8
8
8
0
8
8
8
0
1
8
16
16
16
16
16
12
4
32
32
8
8
4
4
0
0
0
8
0
0
4
4
12
8
16
16
1
0
0
16
16
1
1
1
8
8
8
0
0
4
4
4
4
4
4
4
4
4
4
8
8
8
8
32
0
8
8
8
24
24
24
8
8
8
8
8
4
16
16
36
8
0
0
32
4
8
8
16
16
16
16
16
0
0
4
0
0
4
0
10
2
8
16
0
0
0
0
0
8
0
0
0
2
26
26
8
8
8
8
8
1
1
16
1
1
0
4
12
2
8
8
8
0
0
8
8
0
0
0
0
0
0
0
8
8
8
0
0
0
17
17
17
8
0
0
4
4
4
0
0
0
0
0
8
8
8
0
2
2
0
0
0
0
16
8
16
16
8
4
20
8
8
8
56
56
0
0
4
24
8
8
8
8
8
8
8
4
16
16
4
8
8
8
4
8
16
0
0
0
16
16
0
0
4
4
16
16
4
0
8
8
8
8
0
0
0
1
2
2
2
8
0
0
16
0
26
26
5
0
0
0
0
8
7
4
0
0
0
0
24
24
24
8
20
1
1
1
0
4
4
8
8
8
8
16
0
1
9
16
16
16
4
4
1
1
16
16
16
4
1
5
32
32
0
0
1
0
0
16
0
8
8
0
8
8
1
8
0
0
0
0
8
8
2
2
2
0
1
8
16
24
24
5
2
8
8
0
0
10
0
0
16
8
8
8
8
8
8
0
0
4
4
4
4
0
16
8
8
0
16
8
8
32
16
8
8
8
8
8
8
4
0
0
8
16
16
16
0
0
8
16
8
16
0
9
9
9
8
8
0
0
8
1
0
17
16
24
24
20
4
16
16
16
16
16
12
12
12
4
20
4
0
1
8
1
1
1
0
0
8
0
0
0
0
8
0
12
12
12
8
8
16
0
0
4
16
16
4
16
16
16
26
26
0
0
0
0
0
0
0
0
0
0
32
8
8
8
24
8
1
1
0
0
0
58
58
58
8
8
2
0
16
16
16
63
1
4
8
8
8
8
1
0
24
0
8
8
8
8
0
16
16
16
0
8
16
16
0
1
1
8
8
57
0
8
4
4
4
0
0
0
16
16
16
1
8
24
16
16
8
16
20
10
10
10
10
10
16
16
8
8
8
0
8
8
8
0
8
0
0
8
8
0
8
8
8
8
16
16
16
16
32
32
32
32
0
4
4
0
8
8
8
1
1
8
8
0
16
16
16
16
1
8
8
0
0
0
0
8
8
8
0
8
0
4
8
8
16
8
8
4
4
8
8
1
1
1
1
2
0
16
16
0
0
2
2
8
33
33
2
2
0
0
20
0
0
0
0
16
16
16
16
0
16
16
16
16
0
0
0
0
0
0
0
0
0
24
0
16
0
0
0
0
8
2
2
1
16
16
16
16
16
16
16
2
2
8
25
8
8
2
8
8
8
16
8
8
8
8
8
8
8
8
32
0
0
0
16
16
16
8
8
34
16
34
16
16
2
0
2
2
0
0
8
0
4
32
32
12
8
4
4
0
16
0
8
12
0
0
10
8
8
0
0
1
2
2
2
2
2
2
8
16
16
4
8
8
0
4
8
1
2
2
16
24
8
8
8
8
8
8
0
24
8
8
8
8
8
0
8
16
16
4
0
0
0
8
0
8
8
8
0
0
0
0
8
8
0
0
0
16
2
4
0
16
0
16
16
16
16
16
8
0
8
0
0
0
0
0
1
1
1
41
0
0
8
4
4
16
0
2
2
2
16
8
8
24
8
32
8
0
4
8
8
8
8
8
16
2
8
8
16
16
20
8
0
0
0
8
0
4
4
16
16
16
8
8
8
8
8
0
0
0
0
0
0
0
4
4
4
0
8
8
0
0
1
1
1
1
0
0
8
8
8
8
8
8
4
5
8
8
8
18
18
0
8
8
8
8
8
8
16
8
8
0
4
4
8
2
2
1
0
16
16
16
0
0
8
0
0
4
4
20
20
16
20
4
4
8
0
4
4
4
4
4
4
4
4
4
0
20
4
16
0
16
0
16
16
0
0
12
24
24
8
8
8
8
24
8
24
2
2
2
8
0
11
8
8
4
4
49
49
9
9
16
16
16
0
16
4
4
4
0
16
16
16
16
18
0
8
8
8
8
2
8
8
8
4
4
4
16
4
4
4
4
10
4
16
0
0
20
20
56
56
0
8
8
18
18
16
8
8
0
0
8
8
8
8
8
8
12
1
0
0
0
16
16
16
2
2
2
8
0
0
16
16
16
0
8
8
8
8
8
16
24
8
0
0
0
8
0
0
16
16
16
16
16
0
0
4
4
4
20
1
16
24
0
0
0
0
0
0
0
8
0
8
8
0
8
16
16
8
8
0
2
2
2
3
16
4
0
16
16
16
12
12
0
0
1
1
24
8
8
4
4
4
4
8
0
8
0
0
0
32
8
8
8
0
8
1
1
1
4
16
1
1
0
16
1
22
30
0
0
0
2
8
8
0
0
16
16
8
0
0
0
8
6
2
0
16
2
8
0
25
8
8
8
16
20
8
0
0
8
8
8
16
16
0
8
0
8
8
8
8
8
8
8
8
8
0
16
16
16
0
0
8
16
16
16
0
16
16
2
10
2
2
16
4
4
4
8
0
0
13
1
1
16
16
16
8
8
8
0
0
8
8
8
8
0
49
8
8
0
0
0
4
24
8
1
1
1
8
8
8
2
2
2
2
2
2
2
16
2
16
16
16
16
16
16
16
8
0
0
36
8
8
0
0
20
4
4
8
8
8
16
8
8
8
4
0
16
0
0
24
8
8
16
8
4
12
12
0
0
0
0
8
0
8
8
8
8
8
16
16
16
0
0
8
8
4
0
0
0
16
8
40
0
0
0
0
0
36
4
4
8
8
8
8
8
0
8
8
8
0
0
8
8
8
2
0
0
0
0
16
16
16
16
2
0
8
1
0
0
0
0
16
16
16
6
8
8
0
0
0
0
0
8
8
8
8
8
8
0
16
8
8
0
1
0
2
2
12
0
0
0
0
0
0
8
8
0
0
0
8
8
8
8
1
1
1
1
1
1
1
1
1
12
12
12
8
4
4
4
16
16
4
16
0
1
0
1
1
17
17
16
16
2
2
0
0
8
8
16
12
0
0
16
16
16
0
8
8
8
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
1
0
0
0
4
0
0
0
16
6
2
16
0
24
8
0
14
16
16
16
16
0
0
16
16
0
8
1
1
1
8
16
9
2
8
0
8
8
8
8
24
8
8
16
24
0
0
0
4
0
16
35
16
29
29
29
12
4
4
0
0
8
0
33
0
0
16
16
0
16
16
20
28
20
20
2
2
0
8
0
0
2
2
2
13
8
16
8
8
0
0
8
0
1
1
16
16
8
20
20
1
1
1
0
0
0
8
8
8
8
0
0
0
0
16
2
2
16
16
4
4
8
8
1
16
16
37
0
0
1
0
0
0
24
24
24
8
8
0
16
57
16
16
16
32
16
16
8
16
16
0
7
7
0
16
9
9
9
9
10
8
8
8
8
8
0
0
20
0
0
0
0
0
0
16
16
0
16
0
0
16
16
20
16
20
20
20
20
20
20
20
20
4
20
4
4
4
4
8
10
0
0
18
18
18
18
18
8
8
28
12
16
16
8
0
0
8
40
0
24
8
4
0
8
12
12
12
8
8
0
1
1
1
1
0
0
0
8
8
0
0
0
0
8
8
8
1
1
0
0
1
0
0
0
16
0
0
8
8
8
8
8
8
8
2
2
0
8
8
8
8
8
33
33
18
8
12
0
0
8
0
40
1
0
8
16
16
16
0
0
0
1
0
8
1
20
16
8
8
16
0
16
16
4
4
4
4
0
4
4
4
0
0
16
8
8
10
10
8
0
16
16
16
0
0
8
8
8
8
0
0
0
16
16
2
2
2
1
0
0
0
0
0
0
16
8
12
12
12
0
0
8
8
0
16
16
16
16
16
16
2
2
2
0
9
9
9
9
9
9
9
9
0
16
16
16
8
16
16
16
16
16
16
16
16
17
1
1
2
2
1
8
8
8
8
8
20
32
0
0
8
8
0
0
0
0
0
16
8
8
8
8
8
0
16
16
8
8
8
6
4
6
8
0
0
20
20
28
0
8
8
4
0
0
0
8
8
0
0
9
9
16
16
4
4
0
8
0
0
32
32
8
25
16
16
0
16
16
20
0
0
0
0
8
8
1
1
8
8
16
8
4
16
20
8
8
0
4
8
0
0
0
24
16
16
16
16
4
4
4
4
16
8
8
8
0
0
16
8
8
16
16
0
32
32
5
5
8
0
16
16
16
16
16
16
16
0
8
8
8
8
8
8
8
8
8
8
8
0
32
32
32
32
16
16
1
1
0
0
4
4
4
16
0
0
0
4
4
4
0
0
0
8
0
0
0
5
8
0
0
24
0
0
18
18
18
16
2
0
0
16
16
16
0
16
1
8
8
8
8
4
4
8
8
8
0
8
8
8
8
8
8
16
16
16
8
0
0
10
4
0
0
0
16
0
33
33
33
33
33
0
8
0
0
8
8
0
0
1
1
8
8
0
8
4
16
16
16
16
16
16
16
16
6
1
1
1
1
1
2
2
2
2
0
4
0
8
8
0
8
10
10
10
1
1
20
16
24
0
0
4
0
0
0
0
0
16
0
8
8
12
8
8
8
8
0
0
1
0
8
0
0
0
2
1
8
0
16
24
2
2
2
8
8
8
8
8
8
8
0
0
8
0
0
8
8
8
25
0
0
8
2
4
4
4
8
8
0
0
8
8
0
5
1
1
8
8
4
4
4
16
16
16
16
8
8
0
0
0
0
8
8
16
0
24
2
6
6
24
16
0
0
1
1
8
8
4
4
8
8
9
18
0
0
8
8
8
8
8
8
8
8
18
0
2
0
0
0
12
1
8
8
8
8
8
8
0
2
8
8
0
8
8
16
16
8
8
8
2
2
4
1
1
1
2
2
0
1
8
1
8
8
4
4
4
0
0
0
16
17
16
16
16
16
8
8
17
16
40
8
4
0
8
8
0
0
0
42
0
0
0
8
12
4
4
2
8
16
0
8
8
8
0
0
8
8
0
0
16
16
8
16
0
8
8
8
24
8
0
8
0
0
8
4
4
0
16
16
0
16
24
16
8
8
16
24
0
0
32
16
16
4
24
24
0
0
0
0
0
20
8
0
0
14
0
0
0
0
0
16
0
0
0
0
16
16
24
16
8
16
16
16
16
16
24
16
16
0
5
2
2
4
4
1
1
16
16
16
16
16
16
0
0
0
0
16
8
16
1
4
20
13
24
24
8
8
0
6
2
2
2
0
8
8
8
8
0
0
16
20
16
16
3
44
44
8
0
16
16
16
16
8
8
8
8
8
8
1
1
0
0
0
0
8
0
0
8
8
0
8
4
0
8
8
0
0
0
1
0
0
8
8
8
8
2
16
0
0
0
8
34
0
0
0
16
8
8
9
9
9
8
8
8
8
8
0
4
4
1
24
16
16
16
16
16
16
8
16
16
16
0
16
16
52
52
0
0
4
4
8
8
8
8
8
8
8
8
8
8
0
8
8
2
0
16
16
0
0
0
16
4
8
8
8
8
18
8
8
0
8
24
24
8
4
4
4
4
8
8
0
0
1
8
8
8
0
0
32
17
17
8
16
0
0
3
1
16
16
0
0
0
2
2
16
0
16
0
0
8
8
8
8
8
21
0
2
2
32
16
16
16
1
4
4
0
2
1
0
0
0
0
8
8
8
8
16
16
1
1
0
8
16
16
16
8
1
1
16
16
16
16
16
16
16
1
1
0
24
24
0
0
0
0
9
4
16
0
0
8
20
0
0
0
0
0
0
0
0
0
0
0
16
16
16
1
1
1
1
1
1
1
28
5
10
10
4
0
1
1
2
2
2
2
2
2
2
0
4
8
8
8
8
8
8
6
16
16
16
16
4
4
8
40
1
1
1
1
36
8
8
4
4
8
8
8
8
1
0
8
8
0
32
32
8
8
16
8
8
8
8
0
0
8
8
24
16
10
16
8
2
2
2
32
8
8
0
0
0
8
8
8
8
0
8
8
1
8
0
16
16
16
16
0
56
8
8
8
8
8
8
8
8
16
1
1
2
2
2
8
8
8
0
0
4
4
2
2
2
2
8
16
0
0
0
8
8
8
8
8
8
8
8
8
4
16
16
22
12
4
0
0
8
0
0
8
8
0
0
0
0
16
24
24
1
1
8
1
1
0
0
0
0
0
8
8
8
8
5
1
1
16
16
16
8
0
0
0
2
4
0
0
0
20
20
8
8
0
22
22
22
0
8
24
26
26
1
1
1
8
8
2
2
8
8
0
0
0
0
16
16
16
4
3
18
18
0
8
8
16
0
8
8
8
8
0
0
4
4
4
0
2
2
2
24
0
4
4
8
8
2
2
16
16
16
16
16
8
8
1
2
2
2
8
0
0
0
0
0
0
0
0
0
0
0
0
17
17
17
16
16
8
8
8
1
16
16
16
16
16
0
8
0
0
0
16
24
0
24
24
32
0
3
8
8
8
8
0
0
8
8
8
8
0
0
4
4
8
8
0
0
24
17
8
0
8
1
1
1
1
8
8
1
1
1
1
16
16
16
16
0
0
1
1
8
0
8
16
16
16
0
8
8
8
0
0
5
16
8
8
8
6
0
4
4
0
0
2
2
2
2
2
16
16
16
16
16
16
1
17
16
16
16
16
16
16
16
16
16
16
4
0
0
1
8
0
8
0
0
1
1
8
0
4
8
4
8
0
0
2
8
0
0
8
8
3
16
16
16
16
16
16
2
8
1
1
1
24
24
8
8
16
16
2
2
8
8
8
0
4
8
8
36
46
24
4
0
2
10
0
0
4
4
18
0
0
0
8
16
0
4
17
4
4
18
0
32
32
16
16
8
8
24
24
16
1
1
1
0
0
0
0
0
18
16
0
8
4
24
0
16
16
16
16
16
4
0
0
1
2
2
2
0
8
8
8
12
16
16
8
8
24
24
24
0
0
0
8
8
0
4
8
8
8
8
1
1
8
8
8
8
4
12
8
8
8
8
0
40
1
0
24
24
8
16
1
1
8
1
1
1
4
4
24
2
8
8
8
8
8
16
16
0
0
8
8
4
4
4
48
16
0
0
0
0
8
8
8
8
8
0
16
16
8
16
16
0
16
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
24
0
0
8
8
8
8
9
24
0
0
41
24
16
16
0
0
8
8
8
0
0
0
4
2
0
24
24
24
8
8
8
0
0
6
6
6
16
48
16
16
16
16
16
16
16
16
24
8
8
0
8
8
16
1
1
1
0
0
0
0
0
16
16
0
0
1
8
8
24
0
8
8
8
0
16
16
4
4
4
18
8
8
0
16
0
0
10
2
2
2
20
20
16
8
8
8
0
0
0
0
4
4
4
4
4
8
0
0
8
4
4
0
8
8
8
16
16
0
1
16
16
20
20
20
16
0
8
16
16
16
16
0
0
24
24
0
0
0
0
16
4
4
4
4
4
16
16
8
8
0
16
0
28
16
0
0
0
0
0
0
0
16
8
8
0
4
32
32
0
16
16
16
16
16
16
16
16
9
9
9
0
0
16
32
0
0
0
1
16
32
32
0
0
0
20
4
20
0
0
24
8
0
4
4
8
8
16
0
8
10
18
18
18
0
8
0
0
0
8
0
0
1
17
16
16
16
8
8
8
8
8
8
4
4
10
10
8
40
8
1
1
1
0
0
0
0
2
2
8
0
9
0
16
16
1
1
16
18
16
4
8
8
12
12
32
24
0
0
0
0
4
0
0
16
16
16
16
16
16
16
16
8
4
24
24
24
0
48
56
12
8
8
8
8
0
0
8
18
18
18
24
24
24
0
0
4
8
0
0
12
16
4
16
8
8
8
8
0
20
16
16
16
4
16
16
0
0
0
9
8
8
8
0
8
8
0
8
8
44
0
1
1
0
8
8
8
8
16
16
16
0
4
4
19
0
8
8
8
8
8
8
8
8
8
8
8
8
24
26
24
24
8
0
18
0
8
8
8
9
8
2
32
8
8
8
8
8
4
32
32
32
0
16
16
0
8
16
16
0
0
8
8
0
0
4
4
0
16
4
0
8
8
8
8
8
0
4
4
0
0
0
1
20
2
0
2
18
0
0
0
8
4
4
8
16
8
8
8
4
4
0
5
4
4
4
4
24
1
1
0
0
8
8
8
59
17
8
8
8
16
8
0
16
0
0
0
0
0
0
0
0
0
8
5
2
2
2
8
16
16
16
16
16
16
27
11
8
32
32
1
0
0
0
16
4
0
0
4
8
1
1
2
2
0
8
8
20
16
16
0
8
8
0
0
0
4
4
4
17
17
16
16
24
24
24
24
0
0
18
2
2
2
8
2
2
2
2
17
8
4
0
0
0
0
8
8
2
2
0
8
8
16
32
32
8
8
8
8
8
24
8
0
0
16
8
8
8
8
1
2
2
2
20
4
4
4
12
16
8
8
8
8
16
1
16
8
0
0
16
5
16
8
8
8
8
8
16
16
0
8
22
22
22
22
0
0
0
8
16
24
24
24
8
8
8
8
0
16
16
16
8
8
3
0
16
16
16
0
40
40
40
40
40
0
8
8
0
2
2
2
2
0
8
8
0
0
0
0
0
0
16
4
2
2
2
8
16
16
16
16
8
8
8
8
8
8
4
16
16
16
8
8
8
8
0
8
8
8
2
2
0
8
8
3
3
3
3
3
0
0
0
1
8
8
0
16
8
8
8
16
8
0
16
4
16
2
2
2
2
24
8
0
0
16
0
8
19
16
20
0
8
8
8
0
0
0
0
0
0
0
24
24
30
24
4
1
1
16
16
16
8
8
8
8
16
16
4
0
1
1
16
16
9
1
0
16
30
30
6
30
26
1
0
8
8
0
8
8
8
0
8
1
1
1
1
1
8
0
16
16
0
16
16
16
16
8
4
0
16
8
16
0
0
4
4
4
16
8
8
8
0
0
4
4
0
16
36
1
0
0
16
0
0
0
0
18
8
8
0
0
0
0
8
0
17
0
16
8
8
8
8
8
8
0
2
2
0
4
0
0
16
16
16
16
16
0
8
8
8
8
4
4
4
4
0
16
16
16
8
8
0
0
24
24
0
17
2
1
8
8
8
8
8
8
8
21
21
21
16
16
60
32
32
8
8
8
8
16
16
8
8
0
0
16
32
2
2
17
17
0
1
1
1
1
12
0
8
8
24
25
0
8
8
0
0
0
0
0
1
16
16
0
0
8
32
32
32
32
0
0
0
4
4
4
4
24
24
24
8
8
8
8
8
8
8
0
0
0
0
4
0
0
4
4
0
0
0
8
4
4
13
12
16
8
16
16
16
17
32
32
1
1
16
1
1
16
16
2
16
16
16
16
16
0
0
0
16
1
1
1
1
0
0
16
16
0
12
0
0
8
8
24
4
0
16
8
8
8
8
8
6
6
6
16
0
16
16
1
1
20
0
16
0
0
1
5
5
0
0
0
32
32
32
4
4
0
16
0
0
24
8
10
8
8
0
4
30
28
28
24
0
8
8
8
8
8
8
16
0
4
4
8
16
16
0
0
16
22
4
4
4
16
16
4
8
16
0
16
8
16
0
0
8
8
8
8
3
3
0
0
4
0
0
0
0
1
1
8
8
0
25
4
4
24
2
0
0
16
20
0
0
3
3
3
3
2
16
16
16
8
4
4
4
0
24
24
24
8
8
0
0
4
16
8
8
8
8
8
8
0
8
8
24
8
8
42
24
16
4
4
4
24
24
24
8
8
2
2
8
8
8
8
8
8
0
5
0
0
0
0
0
0
8
16
0
0
27
18
16
0
1
8
8
8
0
8
8
8
20
8
16
16
16
16
16
8
8
8
8
8
16
16
20
4
4
16
8
0
0
0
8
8
8
16
16
0
4
4
2
2
2
2
0
16
4
4
4
24
0
8
28
25
0
0
16
16
16
16
0
8
8
8
8
8
16
16
12
12
8
0
0
18
18
18
16
16
1
1
1
16
16
16
8
8
0
0
16
8
0
0
0
0
8
8
8
16
16
16
0
0
8
0
0
18
0
8
8
8
8
8
16
8
8
0
0
8
8
8
8
8
16
8
8
8
16
0
0
0
8
16
16
16
0
0
27
8
8
8
16
16
0
0
0
0
0
0
4
24
24
48
48
0
0
0
8
16
1
0
1
0
0
0
0
2
0
8
0
0
0
0
16
16
0
4
4
20
0
0
8
21
5
0
8
8
8
8
8
8
8
0
0
0
18
4
4
0
8
8
8
8
8
8
6
0
8
0
4
0
4
16
16
8
8
8
0
16
16
8
8
8
0
0
20
0
0
8
8
8
8
33
1
16
16
24
0
0
16
16
16
0
24
0
8
8
4
8
8
0
0
0
0
0
0
0
0
0
0
8
8
16
1
0
17
24
24
24
24
0
8
0
0
8
8
0
0
0
8
8
8
3
28
41
1
2
2
2
8
0
0
0
0
0
0
8
8
8
0
0
0
8
8
1
17
17
0
16
4
4
0
8
8
0
0
5
8
8
8
16
16
0
8
8
0
8
8
8
32
8
1
16
16
16
16
16
6
2
2
16
16
16
0
0
8
8
8
8
8
36
8
16
16
16
8
8
16
16
8
32
16
16
16
0
0
4
16
16
16
8
16
16
18
16
0
0
0
8
8
0
8
8
24
1
16
16
16
0
0
0
0
1
1
22
26
12
12
8
8
8
0
16
16
16
16
24
8
8
8
8
8
8
8
17
8
8
0
8
8
16
16
16
0
0
0
0
8
16
32
20
4
4
5
5
5
5
8
8
8
16
2
2
8
8
8
8
8
8
8
8
16
16
0
0
0
0
0
0
0
1
0
0
16
40
40
4
2
2
0
0
0
0
18
18
18
18
8
8
2
2
2
6
6
0
0
0
0
0
4
8
16
16
16
4
0
16
16
8
0
16
16
8
8
0
1
1
8
8
0
0
0
0
0
4
4
4
4
24
35
35
35
35
8
0
0
8
0
0
8
8
8
4
0
0
0
0
8
8
8
0
1
1
1
1
0
2
0
0
5
0
16
16
18
16
16
16
16
16
16
0
58
0
0
16
4
4
4
8
4
4
4
4
8
0
0
0
0
1
1
1
0
0
25
25
25
4
4
4
4
8
9
0
0
8
8
0
8
0
0
0
0
0
0
8
8
0
1
1
4
16
16
0
12
8
16
1
8
8
1
1
1
1
1
16
0
1
1
1
4
20
8
8
8
8
8
0
16
16
2
2
8
0
8
5
8
8
2
2
1
0
0
12
8
8
8
8
6
2
2
8
16
8
8
1
17
24
24
16
16
16
0
16
0
4
16
16
16
0
8
8
8
0
1
8
16
8
8
8
1
4
16
8
0
2
2
2
0
24
8
0
4
18
18
8
8
8
16
0
8
8
24
0
4
2
16
16
16
0
8
16
0
4
17
8
8
0
0
0
24
24
8
8
0
0
12
12
12
12
16
16
16
4
4
4
4
24
0
16
16
16
2
3
2
8
59
4
8
8
18
8
8
20
20
14
8
0
12
16
16
16
8
16
16
16
0
32
32
32
0
0
16
0
0
16
16
16
16
8
0
0
0
32
0
4
0
1
0
0
0
0
0
4
4
8
8
0
0
0
8
16
2
8
0
0
16
16
0
0
0
22
22
8
8
8
0
17
0
8
8
8
16
1
0
8
8
16
16
0
8
8
12
12
4
4
16
16
4
8
8
8
0
1
1
0
0
1
1
1
8
8
0
16
1
1
4
4
4
9
0
8
8
8
8
4
4
4
8
8
1
16
0
2
2
16
8
0
0
16
8
0
8
8
8
8
0
8
0
16
16
0
8
8
8
6
8
2
8
11
8
8
32
32
0
0
0
0
8
8
8
16
0
0
8
4
4
4
4
4
8
8
8
8
8
2
2
2
16
8
0
0
6
6
6
8
16
0
0
0
0
8
8
8
8
8
1
8
0
16
16
8
8
2
0
16
8
16
16
16
8
0
28
28
28
16
0
0
0
16
0
0
20
32
32
32
32
32
32
32
0
0
8
16
16
0
0
0
8
16
0
8
4
4
17
0
1
1
8
0
0
0
0
0
0
8
8
2
2
8
16
0
8
0
16
16
4
8
2
2
0
0
0
0
0
0
0
18
0
8
24
8
16
0
8
11
1
16
16
16
8
8
0
0
4
0
0
32
32
32
32
32
34
16
0
24
0
16
0
17
0
16
16
20
0
28
1
8
1
16
16
16
16
0
17
8
8
8
8
2
2
0
16
16
16
8
8
8
8
8
8
8
17
17
6
0
6
6
6
0
0
24
8
0
0
0
8
8
16
16
16
0
8
8
8
0
4
24
24
2
8
8
8
0
0
12
8
8
0
8
0
0
0
1
8
26
0
16
16
16
16
8
0
16
16
16
16
0
0
0
0
8
24
24
0
0
0
0
8
16
16
8
0
0
2
1
11
4
36
0
4
2
0
16
16
8
0
0
32
0
1
1
1
0
0
0
0
0
0
0
16
16
16
0
2
2
4
4
8
8
32
32
1
4
4
4
4
0
16
16
0
0
16
0
4
4
0
12
8
8
8
0
0
0
0
32
32
0
16
16
16
16
0
2
2
24
0
0
0
0
2
2
0
0
0
4
4
4
8
8
8
8
8
2
0
0
8
1
2
2
2
16
16
0
0
1
8
0
18
18
16
16
16
8
8
16
16
0
16
8
8
8
8
8
4
4
16
16
0
0
12
12
8
8
8
0
16
24
0
2
16
16
16
16
8
8
0
0
0
0
16
16
0
0
0
0
43
43
43
16
8
8
0
0
16
1
1
1
8
8
0
0
8
8
8
8
8
0
0
4
0
0
8
0
0
0
0
16
60
60
8
8
8
8
24
16
32
4
4
0
8
8
8
1
0
16
16
0
4
8
8
8
8
4
4
4
4
16
24
0
8
0
0
25
0
0
16
16
16
2
18
2
4
4
0
1
8
8
8
0
8
4
4
0
0
16
8
8
0
0
0
8
0
0
0
0
0
0
8
12
8
8
1
8
8
8
8
0
12
24
0
16
8
0
0
0
16
8
8
16
8
4
4
4
4
0
16
16
16
8
8
8
8
24
24
24
0
8
0
8
8
8
16
16
16
16
16
8
8
0
16
16
16
8
8
8
4
4
0
8
8
8
0
8
8
8
8
16
16
16
0
0
0
8
8
0
16
18
16
0
0
0
8
0
0
0
4
20
33
33
33
33
16
8
8
8
8
8
8
8
1
1
1
1
1
1
1
8
2
2
6
0
0
2
2
2
2
3
2
2
0
0
0
16
0
16
16
16
16
8
8
20
20
0
0
0
0
0
0
0
0
0
32
0
0
8
8
0
0
0
0
1
16
17
1
0
0
8
8
8
0
25
16
16
0
16
8
8
8
8
8
8
0
0
0
1
1
0
0
8
0
0
8
8
8
8
8
8
0
0
8
8
8
8
8
8
8
0
2
2
8
8
16
16
16
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
20
4
4
4
4
0
16
0
8
8
8
32
8
0
8
8
8
8
0
8
0
0
4
4
8
0
0
0
8
8
24
0
8
8
1
17
17
16
8
32
32
32
32
32
32
40
0
8
0
0
0
0
0
0
0
1
0
0
0
1
1
0
0
0
0
24
0
0
8
8
8
0
1
8
8
8
8
0
0
3
19
8
8
8
8
11
11
11
11
0
16
16
2
8
8
0
4
8
59
8
8
8
16
8
0
8
16
17
16
8
8
4
8
8
4
4
4
4
4
4
4
4
4
8
8
8
8
26
0
8
0
16
16
16
0
0
15
4
4
4
8
4
8
8
0
1
1
1
8
8
2
2
2
0
0
0
4
0
0
0
0
32
32
32
0
2
3
1
8
8
8
4
4
4
24
8
16
16
0
2
0
8
16
16
0
16
16
0
0
0
0
0
8
8
16
0
0
0
0
0
0
16
16
16
16
16
16
1
1
1
1
16
0
0
1
1
0
24
2
0
8
12
8
8
2
0
16
16
16
16
16
4
0
4
0
8
8
8
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
8
0
32
8
8
4
4
4
0
0
0
1
0
0
4
4
4
8
8
8
24
24
0
0
0
8
32
8
8
16
16
16
0
33
33
16
16
16
16
16
2
2
2
2
2
4
36
36
8
8
0
0
0
8
4
4
8
8
4
0
0
0
0
12
8
0
8
0
0
16
4
4
4
0
0
16
16
16
8
16
16
0
0
0
8
8
8
20
20
8
8
0
0
0
4
0
8
8
8
8
8
32
32
0
0
16
16
16
16
16
16
16
0
16
8
8
24
8
8
8
8
8
8
2
2
2
24
24
8
0
8
8
0
0
2
2
1
16
16
16
0
0
24
16
8
16
4
4
2
2
2
2
0
0
0
4
4
8
8
8
4
4
48
0
4
4
4
0
0
0
0
4
4
4
4
4
16
16
0
0
0
0
16
16
28
28
2
16
17
0
0
0
16
16
16
16
0
0
0
16
1
0
0
2
16
16
24
0
0
0
12
12
12
0
0
0
8
0
16
0
8
24
24
8
8
0
0
0
0
0
0
16
4
8
16
17
17
1
16
16
16
16
0
0
2
2
0
1
0
2
0
2
2
4
4
4
22
0
0
8
16
16
16
0
8
17
1
1
8
8
0
0
8
8
16
16
16
16
0
17
1
1
0
16
16
0
0
0
16
16
0
1
8
16
16
0
16
16
16
24
24
8
8
8
8
8
8
1
0
0
4
4
16
16
16
1
8
8
8
8
8
24
0
0
16
16
8
8
8
8
8
2
0
0
0
0
0
9
4
16
8
12
0
1
1
16
16
0
8
0
0
0
8
8
18
8
0
24
0
0
0
0
10
10
10
17
16
0
0
0
0
2
8
8
0
0
8
8
16
8
2
0
0
3
3
16
8
8
16
2
16
16
4
0
0
0
8
8
8
34
1
0
0
4
4
25
4
4
20
32
8
8
0
20
5
1
0
8
8
19
1
1
17
17
17
1
16
16
16
16
1
1
1
0
3
3
0
0
0
8
8
16
32
20
4
4
8
0
0
8
18
2
8
0
0
0
8
8
8
8
17
8
8
12
8
8
8
8
8
8
8
8
16
12
16
4
4
1
8
0
0
0
4
4
0
0
0
0
0
0
16
32
16
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
16
2
18
2
0
0
4
4
4
4
6
6
16
0
0
8
0
0
0
0
0
8
8
16
0
0
20
20
8
8
8
0
8
12
0
0
8
8
0
0
0
0
1
1
0
16
16
16
16
16
8
0
0
16
16
0
0
8
8
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
24
58
24
8
0
2
2
2
2
2
4
4
4
4
0
0
4
8
0
0
0
0
24
0
4
0
0
0
16
0
0
0
0
8
8
8
16
2
0
0
25
25
8
8
8
8
8
2
2
2
0
0
0
8
0
0
0
0
2
2
0
1
1
8
8
0
0
0
16
16
0
8
12
12
16
16
2
8
8
8
0
0
16
16
1
1
8
0
8
1
1
4
4
4
10
8
0
36
36
16
16
8
8
8
0
16
17
17
2
2
2
8
16
2
2
2
2
2
2
2
2
8
8
2
9
42
3
16
6
0
2
0
0
0
8
8
8
8
8
8
8
32
16
16
16
16
0
0
2
2
16
16
8
8
8
16
16
8
16
16
16
8
8
2
2
0
1
1
0
0
24
24
8
22
8
0
0
16
8
2
0
0
0
4
4
16
16
16
0
0
16
16
12
12
12
0
16
0
8
6
16
0
4
4
8
0
0
0
0
16
4
0
0
0
0
16
16
0
2
2
8
8
8
8
8
0
4
16
16
16
0
0
0
0
0
8
8
8
8
8
0
16
0
0
0
0
16
8
4
20
20
20
0
0
4
4
0
0
8
8
0
4
0
0
0
24
4
8
8
8
0
8
8
4
8
8
0
0
8
8
8
8
8
8
1
1
1
8
8
0
8
20
8
8
0
0
8
0
8
8
0
8
0
32
32
1
1
0
16
16
16
16
0
6
0
4
4
16
16
16
0
0
16
0
0
8
1
8
32
0
17
16
1
1
0
0
8
0
8
28
8
8
8
20
20
20
8
8
1
8
8
8
0
4
4
0
0
24
2
2
0
0
1
8
8
8
8
8
8
25
16
16
8
2
8
0
0
0
0
16
16
16
0
0
24
8
32
0
9
0
0
0
0
16
0
0
0
0
0
4
4
16
16
16
0
0
4
4
16
16
16
16
0
0
8
8
8
16
8
8
8
0
28
28
8
8
0
20
8
8
8
0
17
4
4
8
8
0
16
16
16
0
0
8
8
8
0
0
0
1
0
16
16
16
16
1
1
16
16
8
8
1
1
16
16
16
16
0
16
16
16
16
16
16
16
0
8
10
18
26
18
24
0
0
0
3
1
1
1
1
8
8
0
16
16
8
8
8
0
0
8
8
8
8
8
8
24
0
1
0
2
2
0
24
16
16
16
12
4
4
3
0
0
0
4
0
0
8
8
22
22
22
22
48
48
8
3
3
0
0
17
16
16
16
16
0
8
8
0
4
4
16
16
0
8
8
0
8
8
8
8
8
8
16
16
16
16
1
1
1
5
1
4
0
2
8
8
0
0
8
16
8
8
8
8
0
8
0
16
0
8
8
0
16
0
0
0
8
8
8
8
8
0
24
24
24
24
17
17
17
17
17
17
17
17
0
0
12
0
0
0
0
0
0
0
6
1
0
0
0
4
4
4
0
0
16
24
16
8
8
8
0
8
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
4
4
4
32
32
32
0
8
8
8
8
8
8
8
8
8
8
8
0
16
0
0
0
0
0
8
8
28
28
8
9
0
24
4
4
4
4
16
8
8
0
0
8
8
4
4
8
8
8
8
8
16
16
16
4
4
4
8
16
16
8
16
16
16
8
4
0
24
16
0
0
16
4
4
8
8
8
8
8
8
8
8
8
8
16
16
8
0
0
0
17
16
0
0
0
1
1
0
0
0
0
4
8
8
0
8
8
4
4
4
8
8
0
8
8
16
16
0
1
1
16
16
1
40
40
0
16
1
1
4
4
4
0
0
8
0
25
16
0
8
24
1
1
4
0
0
0
24
8
0
0
8
8
8
8
8
16
8
8
8
8
8
8
4
4
0
0
32
8
0
24
24
24
24
1
16
16
32
48
48
0
0
0
0
0
20
8
0
0
16
16
16
16
16
16
1
9
3
8
8
8
1
4
4
0
16
0
8
8
0
0
8
8
0
16
16
0
0
16
12
12
12
16
8
8
8
8
5
0
8
16
16
16
16
16
0
8
8
8
8
8
1
16
0
2
37
32
32
32
32
8
8
8
8
8
0
0
0
20
20
4
4
8
8
8
8
4
0
18
18
0
24
8
8
40
40
8
10
0
0
4
1
8
0
16
16
21
1
0
8
8
8
8
57
4
4
4
4
8
8
0
8
16
8
32
1
1
0
0
0
0
21
8
16
12
8
1
1
8
0
8
8
8
0
0
0
4
1
1
1
1
0
22
0
0
0
29
16
32
32
4
1
1
1
0
4
4
16
1
1
16
0
9
8
8
8
0
0
0
16
16
16
16
16
16
0
0
0
0
0
0
0
8
8
0
0
2
2
22
22
4
4
8
8
8
8
26
8
8
17
17
8
8
1
1
8
8
2
2
8
8
0
8
8
8
1
1
0
0
24
0
0
0
0
11
11
0
0
0
0
0
2
0
8
4
0
0
1
16
0
8
8
16
0
8
4
4
4
16
17
4
4
16
18
0
8
16
16
4
1
0
0
0
0
9
8
24
16
16
16
16
16
8
0
0
0
8
0
1
0
0
0
0
0
32
32
0
4
4
4
8
8
8
8
24
0
0
0
0
2
2
2
2
2
2
2
2
2
2
4
20
0
0
0
0
0
0
8
8
8
8
8
8
8
0
8
8
8
8
4
0
0
0
10
10
0
8
8
8
0
8
8
0
16
16
16
0
0
0
8
8
8
8
24
16
16
16
16
0
0
8
8
8
0
0
5
4
1
8
0
8
8
1
1
0
0
0
8
0
16
29
29
29
0
0
0
16
1
1
1
0
0
0
6
8
0
0
16
0
8
16
16
16
4
0
0
0
0
0
8
8
8
8
8
8
16
16
16
8
8
8
8
8
0
1
32
0
0
8
0
0
16
0
0
0
16
16
32
4
4
4
4
4
0
0
0
0
0
3
8
8
0
16
24
0
8
0
0
0
16
16
16
16
0
0
8
34
34
8
8
8
6
6
0
8
16
16
0
0
0
8
8
8
0
16
16
16
16
1
1
1
1
1
1
1
1
2
8
8
8
1
16
0
8
8
8
0
8
8
8
18
8
2
2
2
16
60
60
0
0
0
0
0
0
0
16
16
0
16
0
0
0
16
16
8
0
32
8
8
8
16
16
0
6
6
0
0
16
0
32
32
20
20
20
11
1
1
0
4
0
14
8
4
4
2
2
2
8
16
8
8
8
8
16
16
16
16
8
8
12
0
0
16
20
1
1
0
0
8
8
16
0
17
17
8
1
1
0
17
8
0
0
8
8
8
0
0
0
0
20
0
0
0
0
1
8
8
0
0
8
0
2
2
0
0
0
34
2
16
0
16
8
41
8
8
16
24
8
8
16
32
0
0
16
4
4
4
24
16
8
8
1
1
2
2
0
0
16
16
16
12
0
0
0
8
8
28
8
0
0
4
4
8
8
0
0
8
8
8
8
8
8
16
16
16
8
8
8
8
42
32
32
32
32
32
32
0
9
9
0
0
21
5
5
8
16
0
0
4
1
1
1
32
9
9
8
8
8
0
8
8
8
8
8
16
16
12
0
30
4
0
8
8
8
2
0
16
16
0
0
8
8
8
21
1
8
2
2
8
8
16
48
1
1
0
0
0
0
8
8
4
4
16
24
0
8
8
8
8
8
8
4
4
24
24
16
2
0
0
0
0
2
8
8
8
4
4
0
16
12
8
0
1
0
8
8
8
8
24
16
8
8
18
8
8
0
0
0
0
0
0
0
24
24
1
17
17
20
8
8
8
8
8
8
0
0
8
25
4
4
8
4
0
0
0
4
16
16
0
0
0
0
0
0
0
0
8
8
8
8
8
8
8
16
0
0
0
0
0
8
4
1
16
4
0
8
8
8
8
8
4
4
4
4
8
8
2
8
8
8
12
0
0
2
16
8
24
1
8
8
8
8
1
0
8
8
4
28
0
2
0
0
0
1
8
16
24
16
16
16
8
32
32
0
0
0
0
0
0
4
1
8
8
8
8
8
8
4
16
0
8
8
20
20
24
24
0
1
1
1
2
8
8
8
4
4
12
12
0
8
8
1
0
8
4
3
0
0
0
0
0
4
12
12
42
24
24
17
17
34
0
0
0
0
8
8
8
8
24
24
24
24
16
16
8
16
0
0
0
8
16
8
4
4
0
0
0
4
4
4
0
0
0
4
16
16
16
0
16
32
16
16
0
24
8
8
8
4
16
16
16
0
0
0
8
40
40
0
0
8
8
8
17
1
8
0
2
6
0
0
0
16
16
16
16
8
8
16
8
0
8
8
8
8
4
4
4
2
0
40
8
8
12
16
16
8
8
8
8
16
16
16
16
0
6
2
16
20
20
0
48
0
6
6
6
0
0
0
0
22
22
8
16
32
16
16
16
0
4
8
0
0
8
8
16
24
4
22
22
16
8
8
8
8
0
1
16
16
16
16
16
28
28
28
0
8
19
2
20
16
16
16
8
16
0
8
8
8
8
16
16
32
2
0
0
8
8
8
8
8
8
8
26
26
18
18
0
0
0
0
8
8
8
0
2
2
16
16
8
8
8
8
0
6
8
8
8
0
0
4
0
0
0
8
8
1
8
0
16
17
17
8
8
8
16
1
1
1
0
0
8
0
0
2
2
2
4
12
8
8
8
8
12
12
12
18
18
17
17
17
4
0
0
8
8
8
8
8
0
0
9
0
0
8
8
8
32
49
8
8
8
8
1
1
0
16
0
1
24
8
0
0
4
4
8
0
0
0
0
0
32
32
32
8
8
8
8
4
4
8
0
8
8
8
8
16
25
1
0
0
0
4
4
8
8
0
0
8
8
16
24
24
16
0
8
4
4
4
4
0
0
20
4
4
8
0
8
4
20
0
0
0
8
16
8
8
8
8
8
8
16
16
16
0
0
1
1
16
16
8
8
16
12
20
24
8
1
1
1
4
4
4
1
1
1
2
2
0
0
38
4
4
1
2
0
0
0
0
0
0
0
16
16
16
0
16
8
8
8
8
3
0
8
8
4
4
2
2
16
16
24
4
4
4
4
0
56
56
8
0
1
1
8
8
8
24
24
24
24
24
8
8
8
8
8
0
0
16
2
16
0
0
0
1
0
0
16
16
0
4
4
4
8
0
8
8
0
0
0
0
8
8
2
0
8
8
8
8
2
2
2
2
8
8
0
0
0
0
8
4
4
4
0
8
0
8
16
0
0
0
0
2
0
0
16
16
16
0
0
0
16
8
16
16
16
16
1
1
29
29
2
8
8
8
8
16
17
1
0
0
8
0
0
0
0
0
16
24
1
1
0
0
0
8
0
8
0
0
34
34
4
4
4
0
8
4
24
41
8
8
40
8
0
24
24
24
0
16
16
16
8
8
0
16
16
8
8
8
8
24
0
8
8
8
8
0
8
8
9
0
0
0
0
12
12
16
16
16
17
16
1
0
0
8
16
23
23
4
4
8
8
0
0
0
0
8
8
0
8
8
8
8
1
1
1
1
18
5
1
1
20
12
16
16
0
0
18
2
2
2
2
2
18
8
8
0
32
32
32
12
8
16
8
0
0
16
16
16
8
32
8
0
22
8
8
8
8
0
8
8
8
16
0
16
20
0
0
8
0
8
16
8
0
8
8
8
8
8
8
1
0
0
0
9
9
32
32
0
0
32
32
32
1
1
1
1
4
4
2
10
8
8
16
16
16
4
8
8
16
16
16
0
0
24
16
8
8
0
0
0
8
16
0
13
1
1
1
2
8
0
0
24
8
16
24
8
0
0
0
8
2
0
0
16
16
20
4
4
4
2
0
8
0
0
24
24
8
4
4
8
0
8
8
16
16
16
0
0
25
16
8
8
8
0
0
8
24
0
0
0
8
8
8
1
0
16
16
16
0
0
0
0
0
8
8
8
8
8
8
0
0
0
8
8
16
16
16
8
8
8
0
9
8
0
0
0
20
20
20
0
0
16
1
1
11
2
0
0
0
0
16
1
16
0
0
0
0
8
2
0
1
1
16
21
21
16
8
8
0
0
8
8
8
8
8
8
1
8
4
7
22
2
0
0
0
17
17
4
4
4
4
25
25
25
25
16
24
4
4
8
8
8
8
16
16
16
16
16
16
2
10
2
0
1
1
1
1
1
8
4
4
16
2
8
8
8
0
1
1
1
0
2
2
0
0
0
0
0
0
4
4
0
0
4
4
8
8
8
8
0
0
8
24
8
16
24
8
16
16
6
8
8
0
8
0
4
0
0
0
0
0
0
0
0
16
0
0
0
0
16
1
1
32
32
32
16
8
8
8
8
8
0
8
8
16
16
24
8
16
0
8
8
8
8
8
8
8
0
57
0
8
8
8
8
4
8
2
20
8
8
8
8
16
16
0
0
16
1
1
1
1
1
1
16
16
16
16
16
16
16
16
16
16
0
1
0
0
16
16
2
6
6
6
6
16
1
8
0
0
16
16
8
8
8
2
2
0
0
0
8
8
16
16
16
0
0
8
16
16
16
0
0
0
20
20
8
8
8
8
8
8
0
0
0
8
8
0
0
8
1
4
4
16
1
1
0
2
2
16
8
8
8
8
8
8
29
24
24
8
8
8
0
0
0
0
0
0
8
0
0
16
16
16
16
16
0
0
0
0
2
0
0
16
16
4
20
0
0
4
4
4
4
9
1
1
1
20
22
16
16
1
10
10
16
0
10
26
16
16
8
8
8
8
8
0
0
4
4
5
5
0
0
0
0
32
32
0
0
0
16
16
6
16
16
16
16
16
16
16
16
0
0
0
56
16
20
20
40
40
8
8
8
8
24
8
4
4
49
49
0
0
0
8
8
0
0
0
0
16
8
8
0
0
0
16
0
0
16
16
16
16
16
16
16
16
16
0
9
16
24
0
8
16
16
16
16
16
16
0
0
0
8
8
8
8
8
8
4
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
8
8
0
0
17
2
16
16
0
0
3
0
8
8
8
0
0
12
4
4
8
8
2
0
0
8
0
8
8
8
2
3
8
8
0
0
4
4
16
8
8
8
8
0
0
8
8
40
16
16
16
8
8
4
0
9
0
24
16
16
16
4
16
16
4
2
0
0
0
0
16
16
16
8
8
1
0
0
0
0
0
2
8
0
0
9
9
4
4
4
4
4
0
0
0
0
0
24
16
24
24
24
2
2
2
2
2
2
24
16
16
8
8
8
8
16
8
8
8
12
12
22
0
16
8
8
8
8
36
8
8
16
0
0
0
0
16
16
16
0
0
16
8
8
8
8
34
16
8
8
0
1
8
8
16
1
1
0
16
16
8
8
8
8
8
4
8
8
8
0
0
28
20
1
8
8
8
8
0
4
1
1
4
4
4
4
4
0
16
0
4
4
4
8
0
8
40
8
8
8
24
1
20
0
8
8
8
4
4
4
16
1
1
32
32
32
32
16
16
0
2
2
16
0
16
16
1
1
32
32
16
4
12
4
8
8
2
2
2
4
0
8
8
16
8
8
0
0
16
16
16
16
32
32
48
32
8
2
0
21
0
8
8
40
0
8
8
16
16
16
16
2
0
16
16
16
16
16
4
8
8
1
1
0
8
8
8
0
0
0
0
2
2
0
0
0
0
0
0
0
8
8
8
24
0
0
0
0
0
0
16
8
0
0
8
8
8
0
16
16
1
0
16
16
16
16
20
8
8
8
0
32
32
32
8
2
2
0
0
0
32
32
16
0
0
18
2
8
8
8
8
18
3
0
0
0
0
0
0
0
8
16
16
0
53
53
53
53
8
8
8
0
1
8
3
3
3
1
16
16
0
0
16
16
0
24
0
8
5
5
8
2
2
8
2
2
2
8
2
8
8
2
0
0
0
0
8
8
8
8
8
4
4
4
8
8
8
8
8
8
8
8
8
0
0
8
8
8
8
8
0
0
0
0
8
8
1
1
0
20
4
16
4
4
24
16
16
16
8
8
8
8
8
8
8
0
16
24
4
16
0
8
8
8
8
8
8
16
16
0
16
8
1
0
0
8
8
0
8
0
16
8
16
0
0
0
0
0
0
16
8
4
2
8
8
0
8
8
8
8
16
16
1
1
1
1
1
8
0
0
0
0
0
4
10
10
0
24
0
0
1
1
1
1
1
0
2
8
8
0
16
16
0
0
0
2
0
0
0
0
0
0
16
0
0
8
8
8
8
8
8
8
16
16
16
4
8
8
8
8
8
1
1
1
0
16
16
0
1
1
8
16
4
4
4
16
0
0
0
0
8
8
8
8
8
8
8
14
12
18
16
16
0
32
16
16
16
16
8
10
16
16
16
16
20
16
8
4
4
8
0
0
0
16
16
16
0
0
16
16
0
0
8
8
8
0
0
0
4
1
9
0
0
0
0
0
0
0
16
16
16
0
2
1
8
12
8
8
8
9
8
16
17
2
0
0
0
8
4
1
0
32
32
32
32
0
8
8
1
0
1
8
8
16
1
41
20
20
0
8
0
8
0
0
16
0
0
0
0
0
0
8
8
8
8
8
52
52
52
0
0
0
0
17
0
0
0
0
0
0
0
0
0
8
8
8
8
21
24
24
24
24
24
0
0
8
48
48
57
8
1
1
1
1
32
0
0
0
0
0
0
0
24
24
16
0
36
36
36
36
4
4
32
32
0
0
0
8
8
12
8
1
0
0
0
0
0
4
4
4
4
0
4
4
0
8
8
8
8
8
5
5
4
1
1
1
1
1
1
16
16
16
0
0
0
8
8
8
8
8
12
12
12
12
8
24
24
24
25
0
0
0
1
34
34
0
10
8
18
19
18
0
8
8
16
8
8
16
24
2
3
2
2
0
8
2
2
2
16
0
0
0
16
16
16
0
0
0
16
4
16
1
16
16
8
4
4
1
17
16
17
16
16
8
8
8
8
8
8
8
0
0
0
0
16
16
19
19
19
2
8
8
48
48
8
8
8
8
8
1
1
1
32
6
0
0
2
8
8
8
8
8
0
2
4
4
4
0
8
0
8
16
16
2
0
8
8
16
24
0
16
16
16
16
8
8
4
4
8
8
8
0
16
16
0
8
0
8
8
0
0
8
4
4
8
8
20
60
0
16
8
0
0
16
16
0
0
0
0
0
4
8
8
2
2
4
4
8
8
8
0
0
21
21
21
0
0
16
0
0
0
0
0
0
8
8
8
8
8
4
4
4
1
0
8
8
0
0
16
0
0
16
8
40
24
1
17
0
0
0
2
2
2
2
18
8
0
0
0
8
8
8
8
16
8
8
0
0
1
0
0
0
8
0
0
16
8
8
16
4
12
0
0
16
16
1
4
4
8
0
8
8
16
16
16
8
8
4
4
8
0
0
0
0
8
0
2
2
8
20
20
20
2
6
48
32
16
24
24
0
0
2
2
16
8
0
2
2
2
2
0
4
1
1
0
12
8
48
24
16
16
0
16
1
1
16
16
0
4
4
4
0
4
0
8
8
8
4
4
1
1
9
0
4
4
16
4
16
0
0
16
16
0
0
0
8
2
10
8
8
0
0
8
16
16
16
28
8
8
0
0
0
8
8
8
8
8
8
8
8
16
16
16
16
16
16
0
0
1
0
0
0
0
8
8
0
8
8
8
0
0
0
4
0
0
8
24
24
8
0
8
2
1
8
8
8
0
8
8
4
8
8
8
16
20
0
8
8
0
0
8
16
16
0
0
0
0
0
0
8
8
8
4
4
0
0
0
4
8
8
8
10
8
8
0
0
0
4
4
8
16
0
0
4
0
8
8
8
24
48
48
48
16
16
0
16
16
12
16
4
16
16
4
8
8
0
0
20
20
1
1
16
2
18
11
3
2
24
4
2
2
8
8
0
0
0
0
8
0
4
24
8
1
1
1
1
1
8
0
17
0
0
8
0
8
0
16
16
13
13
13
24
24
8
8
8
8
16
0
0
0
8
8
8
24
24
16
16
0
0
0
0
0
0
0
8
8
8
8
0
0
4
4
4
0
24
24
24
17
0
2
2
2
0
4
4
4
0
0
0
16
8
0
4
16
16
4
4
4
24
8
8
16
0
0
0
0
16
0
8
0
0
16
16
8
8
8
0
0
0
0
0
0
8
24
24
24
24
16
16
12
8
16
16
0
4
13
4
16
0
8
8
16
8
1
1
1
0
8
8
16
16
16
16
9
0
0
0
0
0
4
4
8
8
8
17
0
0
0
0
4
4
0
0
0
0
0
0
16
0
28
8
8
8
8
0
16
0
0
4
0
8
1
9
1
8
0
16
16
8
8
8
3
1
21
5
0
2
2
0
8
2
0
16
0
8
32
0
0
0
0
16
16
16
16
16
16
16
16
16
16
11
11
2
2
0
23
23
23
16
16
8
0
0
0
0
24
0
0
19
0
8
0
13
13
0
16
1
1
0
1
2
2
21
8
8
0
8
8
8
16
0
5
0
0
4
4
4
6
30
6
0
16
16
8
1
0
0
0
0
9
0
16
0
16
16
8
32
4
4
4
0
0
8
0
0
0
0
0
0
0
0
16
16
2
0
0
16
16
8
0
0
0
0
0
1
0
0
0
0
8
8
8
16
8
8
8
0
8
0
8
18
19
18
0
0
8
4
12
4
4
4
0
8
16
8
4
4
16
6
8
0
16
16
16
16
16
16
16
16
16
0
0
8
8
8
8
8
16
16
8
8
8
16
0
8
16
32
32
0
8
8
4
5
16
0
0
0
0
16
16
16
8
52
8
8
16
16
2
0
0
2
1
1
0
0
0
0
0
8
8
16
16
16
4
4
4
4
1
1
8
0
8
8
1
1
1
16
16
0
8
8
24
16
16
1
1
1
1
29
28
0
0
32
32
8
8
8
8
0
16
16
16
16
16
16
20
4
20
4
4
4
0
12
4
4
0
0
0
1
1
1
1
1
8
0
24
0
0
0
0
16
0
4
12
0
0
0
2
2
8
16
16
2
16
0
8
8
0
4
4
4
4
4
16
16
8
8
8
8
8
8
10
8
0
8
24
17
17
1
24
0
8
0
1
1
1
16
16
16
2
2
0
9
9
16
16
0
0
0
16
16
16
0
8
8
8
8
8
8
2
8
8
8
8
8
8
22
22
22
1
1
1
1
1
8
8
8
0
8
16
8
8
0
0
0
0
0
0
8
8
0
0
0
0
1
1
8
8
8
8
8
24
0
0
12
4
1
1
1
1
1
2
2
17
0
8
8
8
8
0
0
0
2
2
8
0
8
8
8
9
9
8
16
16
16
0
0
0
1
0
8
0
0
16
16
16
16
16
16
0
12
2
0
0
0
8
0
1
1
32
32
32
32
8
8
0
4
4
0
0
24
32
32
0
37
32
0
0
0
8
8
8
8
8
8
8
8
16
8
8
8
0
0
0
8
12
12
12
36
24
24
24
16
16
16
16
16
16
0
0
0
0
4
2
4
20
20
0
0
19
0
4
8
16
0
0
0
0
0
0
0
0
0
0
0
0
8
16
0
0
0
16
0
0
0
8
16
16
16
16
0
8
8
8
4
0
0
8
8
0
0
0
20
0
1
1
0
0
0
0
18
18
4
0
0
0
0
1
2
8
8
8
5
8
8
13
4
4
0
0
0
0
0
0
8
8
8
8
8
8
8
0
16
0
0
16
16
2
4
8
0
8
0
0
0
4
4
16
16
4
4
0
16
8
1
9
0
0
0
16
16
4
0
0
0
0
0
0
0
0
0
2
2
16
16
16
16
16
0
0
8
8
8
1
5
4
13
8
8
16
8
16
4
8
0
0
24
16
20
20
4
4
8
4
4
0
16
24
16
2
4
4
4
8
8
8
8
8
16
16
16
8
8
8
8
8
0
9
8
8
2
2
1
1
1
1
16
16
0
0
1
1
1
1
1
1
1
8
28
1
1
2
2
2
2
16
4
4
1
0
20
20
24
24
16
16
0
8
8
0
16
16
8
8
0
8
8
20
8
8
8
8
8
8
8
8
26
18
0
0
6
8
0
16
0
0
0
0
0
0
0
0
16
18
18
22
4
20
4
36
16
52
36
0
0
0
0
16
4
4
4
5
8
8
8
8
0
24
16
12
8
8
16
0
16
0
0
9
8
8
8
8
0
0
16
16
8
8
8
16
8
8
8
8
8
0
17
17
17
16
4
0
4
32
32
0
0
0
16
16
16
16
0
0
0
0
2
4
28
20
20
20
0
0
8
0
0
0
0
0
0
0
16
0
1
8
0
0
4
4
1
8
8
8
0
16
0
1
3
1
0
8
8
8
8
8
0
21
0
0
0
0
8
8
8
0
1
1
1
1
1
0
16
8
9
8
8
8
8
8
0
17
1
1
1
1
2
3
0
4
4
8
8
8
8
8
8
8
8
8
8
0
0
17
8
8
8
0
28
0
8
12
8
0
48
1
8
0
16
0
0
0
0
16
16
8
8
8
8
0
0
5
1
0
0
8
0
0
0
8
0
0
0
0
4
8
8
0
8
8
8
8
16
0
4
10
10
10
10
10
8
8
8
8
8
8
0
8
8
4
4
0
24
24
24
16
0
8
1
1
8
8
3
3
0
0
28
0
1
1
16
4
4
0
0
4
4
4
0
0
24
8
8
40
40
60
0
16
3
2
16
16
8
4
16
8
4
6
4
0
0
16
16
0
0
0
4
4
4
8
1
0
0
0
0
0
0
0
16
16
16
8
8
16
0
0
16
16
16
3
3
3
3
8
8
16
16
20
20
8
0
2
2
16
0
2
2
8
8
0
16
8
8
0
0
0
0
0
8
0
8
8
9
61
0
0
8
8
8
8
4
4
0
0
1
24
24
24
4
4
8
0
2
16
16
16
16
16
16
16
16
16
16
16
0
8
8
8
8
4
0
4
0
0
0
17
0
0
0
8
8
8
16
16
16
16
16
12
0
0
0
8
8
21
0
8
8
1
0
0
0
40
32
16
0
8
0
8
16
16
4
0
8
8
8
8
0
16
16
0
8
0
0
8
0
0
32
32
32
0
2
0
8
8
4
4
4
48
8
8
24
1
1
1
1
2
2
2
2
2
2
0
0
0
0
0
0
0
1
0
2
8
0
0
0
0
16
16
0
4
8
8
8
2
0
1
8
0
0
1
1
0
8
8
8
8
8
8
4
4
16
1
1
0
0
4
8
8
8
8
8
8
19
0
4
16
24
20
20
16
16
16
0
0
32
35
32
32
36
0
1
19
16
16
1
1
1
4
4
8
8
8
0
0
0
8
8
8
8
0
16
16
16
8
8
8
0
0
8
2
2
2
8
4
0
16
0
8
8
8
8
32
16
8
16
8
16
45
8
40
16
16
16
16
16
8
8
8
4
4
0
8
8
9
0
0
8
16
16
16
0
2
0
0
0
1
1
1
8
1
1
0
0
16
16
16
16
16
0
8
8
0
1
1
1
1
8
0
0
4
4
4
16
16
4
4
4
8
16
0
0
0
8
8
0
0
0
8
8
8
16
16
16
16
8
16
0
0
24
0
8
16
0
24
16
1
16
16
8
8
0
0
0
0
0
8
8
1
1
1
1
0
0
8
8
8
8
8
8
16
24
16
0
4
4
4
0
0
0
1
0
16
16
0
8
8
20
0
0
16
16
16
16
16
0
4
4
20
16
16
25
22
22
22
8
0
2
0
0
0
0
2
16
16
16
16
16
24
0
0
0
0
0
4
8
5
8
0
0
4
4
4
4
4
23
8
0
0
0
8
0
32
16
8
2
2
2
2
0
0
0
8
17
0
0
0
16
16
8
8
8
2
2
2
2
2
0
0
0
8
0
0
8
16
16
16
16
12
4
4
34
8
4
24
8
8
8
8
4
8
8
8
8
8
0
4
14
14
14
14
16
8
0
8
8
0
0
18
18
20
20
2
4
4
4
0
0
0
0
16
16
28
0
16
26
26
4
8
0
8
8
8
0
0
0
0
0
12
0
0
4
4
16
2
16
1
16
16
16
8
0
1
1
12
2
16
0
16
16
32
16
0
16
16
16
0
16
16
0
16
8
8
8
20
4
4
8
8
0
0
8
8
8
0
24
17
0
8
2
2
2
0
0
1
1
0
16
16
0
8
8
8
8
8
8
8
4
8
24
0
0
0
0
4
16
16
6
8
8
25
8
8
8
0
0
0
0
16
16
2
2
2
1
1
8
8
0
0
8
8
8
8
0
0
0
0
4
4
4
4
16
18
16
16
4
4
16
8
32
8
0
0
24
2
2
8
0
0
8
16
16
16
0
16
16
16
16
8
1
1
1
8
28
28
28
0
16
19
16
16
16
16
16
24
24
0
0
0
8
8
8
8
8
4
2
16
16
0
4
16
16
24
24
24
4
0
0
8
8
2
25
25
0
8
0
0
0
16
0
12
8
8
8
8
8
9
8
16
16
8
8
8
8
8
8
8
8
0
0
8
8
2
1
18
36
36
1
1
0
4
4
0
0
5
4
4
18
8
8
40
40
2
2
8
4
4
4
4
0
4
4
4
4
4
4
4
16
16
0
24
0
8
8
0
0
16
16
8
8
0
0
8
0
16
0
24
8
17
8
8
8
8
8
2
2
16
16
16
16
16
0
4
4
0
0
16
8
0
0
0
8
8
0
32
4
16
16
16
16
32
0
0
0
8
1
16
17
0
8
8
1
1
0
4
4
20
20
20
0
0
1
20
16
8
8
0
2
2
8
8
0
0
24
24
4
0
0
0
0
0
0
16
29
29
0
24
24
0
8
16
8
0
16
16
16
0
0
0
4
8
0
0
0
1
8
8
8
1
8
0
17
17
17
17
17
0
9
8
8
0
24
24
16
4
4
4
8
8
8
8
8
0
8
8
8
8
8
8
4
4
0
8
16
8
8
16
16
2
16
16
16
0
0
16
16
4
16
16
16
8
8
4
4
0
0
0
0
0
0
0
0
16
16
4
4
8
8
0
0
0
0
0
8
8
0
16
16
16
16
16
8
8
0
18
2
16
28
16
8
8
16
0
0
0
12
4
4
4
4
16
2
8
8
0
4
12
12
0
0
0
0
9
4
4
0
16
8
8
8
8
8
8
0
0
1
1
8
8
8
4
16
16
24
24
2
0
0
0
0
8
8
8
17
8
2
2
0
0
60
0
8
8
0
16
16
16
12
12
12
12
12
24
16
0
0
10
2
2
0
16
8
0
0
0
16
0
0
0
4
16
8
1
0
8
1
1
0
0
8
0
4
4
16
16
16
16
16
16
4
0
0
8
0
0
0
32
8
8
14
14
2
0
1
8
8
0
30
8
0
0
20
24
24
24
8
8
8
8
8
8
8
8
0
4
0
8
0
16
16
6
6
16
16
12
12
0
0
8
0
0
0
0
0
4
4
4
32
0
1
0
8
32
40
32
32
8
1
1
0
8
8
8
0
0
0
0
0
0
5
8
8
8
16
16
16
0
0
4
4
4
16
0
14
0
0
8
16
16
16
1
1
1
1
9
9
8
32
16
0
8
8
1
1
0
0
1
1
1
0
16
16
0
8
32
32
32
16
2
8
0
0
2
2
2
2
2
4
0
16
16
24
0
0
1
1
1
0
2
3
16
16
16
0
0
0
0
8
0
0
32
32
48
16
0
0
8
1
1
1
1
1
30
28
0
2
18
2
2
1
4
4
4
0
8
0
16
16
0
0
8
8
8
8
8
8
8
8
0
0
0
0
0
0
20
16
0
0
1
1
0
0
0
0
0
0
16
16
16
0
8
16
24
1
1
0
8
1
1
2
24
24
16
8
8
8
8
8
8
4
4
8
8
32
0
1
1
16
4
0
0
24
8
24
0
8
8
16
16
24
24
2
2
16
16
16
16
16
16
2
16
16
0
0
0
0
0
0
4
1
0
4
4
4
8
8
12
12
12
8
8
16
16
8
1
16
4
0
4
16
16
8
8
8
8
28
16
8
16
8
8
8
16
8
24
4
4
16
8
15
16
16
1
16
1
0
0
0
0
8
0
0
0
0
24
0
4
4
16
16
20
20
8
0
17
0
8
0
8
8
8
8
0
1
16
4
0
0
1
1
0
0
0
4
0
8
2
0
2
18
2
16
0
0
0
0
0
0
0
24
18
16
18
8
8
8
8
4
0
0
4
4
4
4
4
4
4
0
0
0
6
0
0
8
8
0
0
0
0
0
0
16
16
8
0
2
0
0
5
37
0
0
0
0
0
0
0
1
1
1
8
2
2
2
16
0
0
0
0
4
4
4
4
8
16
16
0
0
0
32
16
16
0
4
4
8
16
0
7
4
4
4
16
16
16
8
24
32
0
32
32
0
0
0
0
8
16
16
24
24
2
8
8
24
2
4
0
16
16
8
8
8
8
8
8
16
16
16
4
4
16
8
8
8
16
8
8
8
8
8
16
16
16
8
32
8
8
8
0
26
16
18
16
8
16
16
24
24
24
8
4
4
8
16
16
8
8
16
16
32
24
24
24
24
1
8
16
1
0
8
8
8
8
8
0
0
0
0
0
0
0
4
4
4
0
16
40
32
32
0
16
8
16
16
20
20
8
2
2
2
0
0
0
0
0
0
0
0
16
4
4
4
1
8
8
0
0
8
8
16
16
16
16
16
16
16
24
4
20
0
8
8
8
8
0
0
0
0
1
1
0
0
0
0
8
0
8
8
0
0
0
8
16
8
2
2
2
2
4
4
16
8
8
8
8
25
0
0
0
0
8
2
2
8
8
8
8
0
0
0
0
4
4
4
24
8
8
8
8
1
8
8
0
0
0
16
32
32
32
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
4
4
2
2
2
0
8
4
4
4
4
4
0
1
0
8
8
0
8
8
8
8
18
2
2
2
16
0
0
16
16
16
16
16
16
0
10
0
16
8
24
1
1
1
1
8
8
24
8
8
16
1
1
1
16
8
0
0
4
4
1
1
1
1
2
2
2
2
0
4
1
16
16
0
0
0
0
0
4
1
8
8
8
8
8
8
8
8
0
8
0
0
0
0
0
8
16
8
1
1
23
23
8
8
8
0
0
1
14
0
0
22
0
16
0
8
8
8
16
16
16
0
0
0
0
1
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
20
16
16
16
0
0
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
24
24
8
8
0
24
24
24
0
16
16
16
8
8
8
0
16
8
8
0
0
14
46
0
0
0
0
8
8
4
0
0
2
2
2
24
1
1
3
3
0
8
16
28
24
16
16
0
16
16
16
16
24
1
8
8
8
8
8
16
0
0
0
16
8
0
16
17
16
16
8
8
8
8
2
2
12
12
12
8
8
8
0
16
16
8
8
20
20
20
16
16
16
16
16
8
8
2
2
16
16
16
4
32
32
8
8
0
0
0
4
4
4
0
0
0
0
16
16
16
16
0
16
8
8
0
16
16
0
0
0
0
2
8
8
8
10
10
16
16
16
0
8
8
9
8
2
1
0
8
8
4
4
0
0
0
0
0
0
1
8
8
0
0
2
2
0
0
0
8
8
8
8
12
8
12
8
8
8
16
0
8
0
1
1
0
0
8
14
8
8
8
4
0
1
1
8
8
0
0
0
0
0
8
8
8
33
0
0
0
4
8
0
0
16
8
8
8
0
8
8
2
8
8
16
16
16
0
0
0
8
12
8
8
0
0
11
11
8
8
8
24
24
8
8
16
16
16
8
8
8
8
8
8
1
1
2
2
2
2
2
0
0
20
20
4
4
0
0
0
12
12
18
18
0
0
0
2
2
0
1
16
0
16
16
1
1
9
2
21
21
24
24
24
0
0
16
17
0
24
24
0
2
1
16
28
28
0
2
16
16
0
1
0
0
8
16
8
12
8
0
40
8
8
8
8
24
8
0
2
2
2
2
2
16
16
8
8
8
0
8
8
8
8
16
0
0
4
0
8
8
8
8
8
8
8
0
0
17
17
8
8
8
16
16
16
40
40
40
8
10
10
0
16
16
16
16
4
16
8
8
0
0
24
0
0
0
0
2
18
0
1
25
25
25
1
4
4
16
0
16
50
48
8
1
0
4
4
0
0
8
8
0
4
4
4
8
36
16
1
4
4
4
8
8
8
2
2
2
2
8
32
32
0
0
0
0
0
8
8
0
8
8
8
8
8
8
0
0
20
20
20
0
2
0
0
0
0
1
1
2
2
0
0
8
0
9
8
21
0
28
0
0
2
0
4
4
8
8
0
24
24
8
8
8
8
8
8
8
8
16
8
0
0
8
8
0
2
0
0
8
8
8
19
0
0
8
2
4
4
8
4
0
16
16
0
0
8
8
20
16
0
0
0
0
0
16
8
0
1
9
4
4
0
2
42
16
24
16
8
4
4
0
0
0
8
16
8
8
0
0
0
8
16
0
0
8
16
16
4
5
20
4
4
4
8
8
8
8
8
1
8
8
1
1
0
8
8
8
0
0
4
0
0
3
3
8
8
32
32
8
4
0
1
1
1
1
1
16
16
0
0
0
0
8
24
8
8
32
32
32
32
0
24
1
1
1
1
8
0
0
8
5
0
0
0
0
0
0
0
4
4
4
4
0
0
0
0
0
0
52
8
0
16
16
8
16
8
8
0
16
16
8
8
8
8
2
16
0
8
8
8
8
8
8
0
2
2
2
2
8
9
9
16
8
0
8
4
24
8
8
8
8
0
16
16
16
16
16
0
1
0
0
0
0
0
4
4
4
16
0
0
16
8
32
20
20
20
0
0
8
0
20
0
16
0
16
2
2
2
2
8
2
2
0
16
16
16
16
16
16
10
4
4
9
9
9
9
9
9
8
8
9
0
8
8
8
8
1
8
8
16
16
16
0
8
16
16
16
16
0
8
8
4
4
4
8
16
16
16
5
1
0
0
1
1
1
22
1
1
1
1
1
0
8
8
8
32
2
2
32
16
16
8
8
8
16
2
16
16
16
0
0
1
5
1
1
1
1
0
0
16
1
9
8
0
16
0
16
16
16
0
0
0
0
16
16
16
10
16
8
0
0
16
16
16
21
0
0
16
16
16
16
32
32
32
0
8
16
1
20
20
0
0
2
2
8
8
8
8
8
8
0
6
6
0
0
4
0
16
16
16
16
16
0
8
8
8
8
8
8
24
0
4
0
32
32
0
0
0
8
8
16
24
2
0
0
0
2
0
8
48
8
0
16
1
1
1
1
1
1
1
8
0
0
8
8
8
16
8
8
56
56
8
8
8
4
0
0
1
0
2
2
2
0
0
16
16
8
8
0
2
2
2
8
8
8
8
8
8
8
4
2
4
0
0
0
0
0
0
0
8
8
8
8
8
8
1
1
9
9
4
0
0
0
0
0
0
0
16
16
17
17
8
8
0
0
16
16
24
24
24
0
0
32
1
20
20
20
0
16
16
16
16
0
2
2
8
8
8
16
8
1
16
8
8
0
36
36
0
16
21
17
16
16
4
4
0
0
0
0
0
4
8
8
8
8
8
0
0
0
1
0
0
8
22
16
16
16
0
8
8
8
8
0
0
0
0
0
0
0
16
16
16
16
0
0
16
16
8
8
8
8
0
0
8
16
16
10
2
2
4
4
15
2
3
2
8
8
48
48
0
2
2
0
2
2
0
0
16
16
16
16
16
0
16
56
0
0
16
8
4
4
2
2
2
2
2
16
16
0
16
0
8
8
1
1
1
16
4
4
4
8
8
32
8
8
8
0
0
0
4
0
8
8
8
8
8
8
8
8
20
20
8
1
1
8
8
8
16
0
0
0
0
0
4
4
4
0
0
0
8
8
8
8
6
4
8
0
0
0
1
1
1
0
8
8
8
8
0
0
8
1
1
1
1
1
1
0
0
8
16
16
16
16
0
0
16
16
4
12
4
0
4
8
8
8
4
0
0
0
0
1
16
16
16
4
4
4
4
4
0
24
32
0
16
16
16
24
16
0
0
16
16
20
0
16
16
16
8
0
0
0
0
0
0
16
16
0
16
0
0
16
0
8
8
8
0
1
1
1
1
1
4
16
6
6
6
0
0
9
9
0
0
4
1
1
16
16
16
16
0
0
0
8
8
8
8
0
0
0
8
8
8
8
8
8
8
3
3
3
3
4
14
0
0
0
16
8
8
8
8
8
8
8
8
16
1
0
16
16
24
0
8
8
8
0
0
2
2
50
50
50
0
0
8
1
8
8
8
8
8
8
8
0
0
1
0
8
8
0
8
8
0
0
16
0
8
0
0
1
1
40
0
0
0
0
0
0
9
9
8
8
8
2
2
4
4
8
8
0
2
2
8
8
0
0
20
8
1
1
1
1
1
1
1
1
24
24
16
4
4
4
4
4
4
4
20
16
2
2
0
8
8
8
8
0
0
8
2
16
8
8
2
4
0
0
8
3
3
1
1
0
2
0
8
0
0
8
16
16
16
0
0
24
32
0
0
8
8
8
16
0
5
0
0
0
0
0
16
16
16
16
0
16
16
16
0
2
0
0
0
0
0
8
8
0
4
0
8
8
24
8
0
16
2
2
8
8
8
8
40
0
0
8
18
18
32
32
32
32
8
8
0
8
8
8
0
1
1
1
1
8
8
12
8
8
16
16
2
2
2
2
2
2
8
1
16
16
7
8
8
16
0
0
0
8
10
0
8
8
8
8
16
16
16
2
24
24
8
8
0
4
0
0
8
0
0
0
0
16
16
8
0
0
16
1
0
0
24
24
24
0
16
16
8
12
8
8
0
0
17
16
0
0
0
0
8
8
14
14
14
14
14
0
16
16
0
0
8
8
0
16
16
16
0
0
0
0
8
8
8
0
16
4
0
16
0
0
2
8
8
8
8
8
8
8
1
8
8
8
2
0
2
4
2
2
0
0
0
0
0
0
1
1
1
1
8
8
8
0
8
16
16
0
1
1
0
1
1
0
0
0
0
0
0
0
0
16
1
2
2
2
1
0
4
4
0
16
16
16
16
8
8
40
40
40
8
16
8
8
8
0
16
16
16
16
16
16
0
0
8
8
8
0
16
0
8
0
4
4
4
8
0
8
8
0
0
1
16
16
16
16
0
24
0
16
8
8
8
8
4
4
0
16
16
0
16
8
8
16
16
1
16
9
1
0
8
16
8
8
8
8
9
0
0
22
6
0
0
0
0
8
0
16
4
8
16
16
4
4
32
8
8
8
0
8
8
8
0
4
4
2
2
0
0
24
16
24
16
16
16
16
16
16
4
16
2
8
8
1
8
8
4
4
8
8
8
8
6
1
1
4
4
8
13
13
8
16
0
1
1
1
1
2
40
8
40
8
33
8
8
8
16
16
8
8
8
12
8
8
8
8
8
0
0
15
8
8
8
1
1
4
4
0
0
0
8
4
0
11
4
4
4
4
4
4
0
20
16
0
0
9
9
21
21
21
8
16
17
18
2
2
2
2
0
0
0
8
0
0
16
16
1
1
0
0
8
8
8
0
0
0
4
4
19
8
8
8
0
8
8
1
1
1
1
0
0
4
4
4
4
8
8
8
16
0
0
8
0
4
4
0
0
16
16
16
2
2
2
2
2
2
2
2
8
8
8
8
12
0
0
0
0
0
0
0
0
0
0
0
4
8
0
4
16
16
44
0
0
8
8
8
2
24
24
0
3
12
8
8
8
16
16
2
2
2
0
0
0
0
0
0
16
16
16
16
8
8
8
8
8
0
0
0
0
8
8
8
31
8
16
8
8
8
0
0
0
16
16
16
2
2
2
0
0
1
8
16
8
0
8
8
24
16
16
16
4
4
0
0
0
2
2
2
0
2
0
8
9
8
16
16
4
4
0
2
8
8
8
0
8
16
20
30
30
30
8
8
0
0
0
37
1
37
0
0
0
0
0
16
0
16
16
0
4
0
2
2
0
0
3
0
0
8
8
4
6
6
6
1
0
8
8
8
0
4
4
16
1
1
16
16
16
16
16
4
4
1
16
0
1
8
8
8
8
0
0
0
34
34
0
8
8
5
0
1
5
1
0
0
1
0
0
8
8
0
16
16
8
8
8
8
8
1
0
0
0
0
0
10
0
1
24
24
24
1
2
9
0
24
24
24
8
8
8
8
2
16
4
0
9
24
16
16
16
24
24
16
16
8
16
2
10
2
0
20
0
32
8
8
8
8
1
1
1
0
0
0
24
24
24
24
1
1
1
16
16
10
8
3
8
8
1
4
1
0
0
0
4
2
0
0
25
16
16
16
1
0
1
1
4
0
0
0
8
8
8
0
0
0
1
1
1
0
16
16
16
0
0
1
1
0
0
0
8
8
0
0
0
0
8
8
8
8
0
8
8
16
16
0
8
8
8
0
0
0
0
8
8
0
0
16
0
0
0
8
48
48
16
16
16
16
20
16
16
4
8
16
4
4
4
16
16
16
0
4
48
0
0
16
16
20
20
20
20
20
16
16
16
0
0
8
8
8
4
4
8
18
16
56
56
16
4
8
0
0
0
0
0
0
0
16
18
20
16
16
16
16
16
16
8
8
8
8
8
0
16
16
16
0
8
8
32
32
8
8
8
8
25
1
0
0
12
0
16
16
16
0
0
24
16
24
6
36
36
37
8
8
0
2
4
0
16
1
1
1
0
0
0
8
8
8
8
8
16
16
8
0
8
8
16
18
18
0
16
16
0
0
0
0
0
0
0
1
35
0
0
8
0
16
22
0
1
1
8
8
8
8
0
0
0
18
18
24
24
24
32
16
16
16
16
16
0
8
0
0
0
2
2
2
4
32
16
24
8
8
8
8
8
12
0
0
4
35
4
4
4
0
0
16
8
24
0
16
16
16
4
20
4
16
16
8
1
1
1
0
0
8
0
0
0
24
8
8
0
8
8
8
0
0
0
16
16
16
24
0
0
0
4
4
4
4
0
0
0
0
0
0
8
0
0
0
1
1
1
33
8
4
10
24
16
32
32
1
16
0
0
0
8
0
16
16
24
24
0
0
16
2
16
16
16
16
4
4
0
8
0
0
0
8
16
16
8
0
8
16
0
32
1
16
24
24
4
4
4
4
0
8
16
16
16
0
0
16
16
0
0
24
24
16
25
16
8
8
0
0
2
2
0
0
8
0
0
0
0
8
8
8
0
8
0
0
16
16
16
16
8
8
8
8
0
24
4
1
8
8
8
12
12
24
8
8
24
0
0
1
1
1
1
1
1
1
1
1
4
8
8
8
8
0
0
2
1
4
0
0
8
16
16
4
8
6
8
8
8
8
8
8
0
8
2
2
8
8
8
0
8
16
1
1
1
1
16
0
0
0
0
0
32
8
8
8
8
8
8
20
41
16
0
16
4
4
4
25
0
0
0
8
8
32
16
0
0
0
0
0
16
16
16
16
16
16
16
8
0
8
8
16
16
0
0
0
17
1
1
1
0
0
24
16
16
16
2
42
0
0
4
0
0
0
8
8
1
1
1
28
1
16
17
16
0
16
2
0
2
0
1
1
1
1
1
4
8
8
0
0
0
0
0
0
4
8
8
8
8
8
0
16
16
1
0
0
0
32
16
16
8
0
8
8
4
4
4
0
8
8
0
16
18
16
32
32
12
12
8
8
4
4
0
0
0
8
8
16
16
16
16
8
18
17
16
4
0
0
4
4
16
8
8
8
0
0
8
8
0
1
8
24
16
16
0
6
0
0
0
0
0
16
16
16
16
0
0
16
16
0
8
8
8
8
0
0
0
0
0
0
8
8
8
0
0
16
16
16
16
4
0
16
16
16
16
4
4
0
0
0
8
8
8
8
8
8
8
8
8
8
16
16
8
24
8
8
8
0
0
0
8
4
4
2
2
2
2
16
1
8
8
8
24
8
1
1
1
1
1
0
0
0
8
8
8
8
8
8
1
1
1
16
24
16
16
16
16
16
16
0
0
16
16
16
16
0
0
0
16
16
16
8
0
0
1
1
1
32
32
8
8
8
16
2
2
0
0
0
0
0
0
16
16
57
57
0
0
0
0
0
8
8
0
0
8
2
8
16
7
7
7
2
16
2
2
8
8
8
8
1
0
0
17
16
5
0
8
8
8
0
16
16
16
16
2
8
8
8
8
8
24
8
8
24
8
0
5
1
1
8
16
4
4
32
0
16
16
0
0
0
1
0
4
4
8
24
24
0
2
16
0
8
16
16
16
0
18
0
8
8
8
8
24
24
24
24
8
8
0
0
17
16
0
0
0
0
0
49
12
8
0
8
8
8
8
0
0
16
16
16
16
0
8
0
0
8
0
16
8
8
4
4
0
20
20
4
8
0
0
8
16
16
0
0
0
0
8
18
16
16
1
1
16
16
16
0
2
2
0
1
0
0
10
17
17
4
8
0
8
1
2
2
0
16
16
16
16
16
16
16
8
8
2
8
0
8
0
0
0
0
2
0
0
20
20
4
4
16
4
4
4
8
0
0
8
8
8
16
16
8
8
4
4
2
16
8
8
8
8
16
1
1
8
8
8
8
8
4
8
0
2
2
16
16
24
8
8
19
19
18
18
2
8
8
0
0
4
0
0
8
8
4
4
1
17
1
1
1
32
0
8
8
7
4
1
1
8
8
8
8
8
8
4
0
0
0
0
0
8
8
8
8
1
1
8
8
3
2
26
8
8
8
8
8
0
0
8
8
8
8
8
8
8
8
8
0
0
0
0
0
8
0
0
8
0
0
0
16
16
0
16
8
8
8
8
8
8
8
1
1
1
1
0
0
8
0
0
0
0
0
0
18
0
58
58
8
8
8
0
16
16
0
0
0
1
16
16
1
16
16
16
0
34
0
0
0
0
15
15
0
4
0
10
10
10
17
0
0
8
1
1
1
16
0
1
0
0
26
26
26
0
0
8
8
8
8
8
8
8
16
16
16
16
0
0
8
8
8
16
48
48
48
48
0
0
2
8
16
24
8
12
12
8
8
0
0
1
1
1
1
2
8
20
16
2
0
0
16
16
8
16
32
24
0
0
8
8
16
16
16
16
0
0
0
0
8
17
17
0
0
8
8
8
4
0
0
0
20
20
20
20
16
0
8
8
1
1
1
32
16
2
0
8
8
32
0
4
0
0
10
0
0
8
8
8
8
8
12
8
18
16
4
8
2
2
0
8
8
4
4
0
8
0
11
11
8
8
1
8
8
1
0
12
24
8
24
24
8
8
8
0
0
0
4
4
0
0
0
0
0
16
16
0
8
0
0
18
0
0
8
8
16
16
0
4
16
40
24
16
3
11
3
0
4
4
1
8
8
8
8
0
28
0
0
0
0
16
16
16
16
16
0
0
1
4
8
16
16
49
8
8
8
8
0
0
0
8
8
12
4
1
8
8
2
2
0
8
16
0
16
24
2
0
0
16
16
0
0
0
0
0
16
0
8
16
0
16
8
16
16
0
0
0
0
1
8
16
22
6
8
8
41
18
0
0
0
0
24
8
8
8
8
25
6
2
4
6
16
16
16
0
8
8
8
0
0
0
0
1
1
6
6
6
8
0
0
8
1
0
8
10
8
2
8
1
1
1
1
1
0
0
0
0
1
0
16
10
16
16
8
8
8
23
18
8
8
0
8
8
8
32
0
0
0
0
0
0
0
16
16
0
8
0
8
0
20
16
16
2
2
0
0
0
0
8
8
62
2
2
2
8
8
8
8
8
0
0
0
0
0
24
24
24
24
0
0
8
8
8
8
20
8
8
8
0
16
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
2
2
0
8
8
8
8
0
8
8
8
0
4
0
8
16
8
8
8
8
8
0
16
16
16
16
0
0
0
0
0
0
0
0
0
0
8
8
4
8
8
8
8
8
8
16
32
21
8
8
0
0
0
0
8
8
4
8
4
4
8
0
1
8
0
0
0
0
0
1
1
1
1
12
0
0
0
24
1
0
16
16
0
0
8
8
0
0
0
16
8
8
8
8
8
8
8
8
8
8
0
0
0
22
2
16
16
4
4
8
1
0
0
16
16
16
8
0
1
1
8
8
4
0
8
0
0
0
0
0
8
24
0
0
1
8
8
8
1
8
4
8
16
0
8
1
1
0
8
0
0
16
0
0
8
8
8
8
8
0
8
8
24
0
0
0
0
0
8
16
0
11
11
16
16
16
16
8
8
8
24
24
24
24
16
16
16
16
0
0
8
0
0
0
16
16
24
24
12
8
12
8
8
8
8
2
38
0
20
4
26
26
10
8
8
8
8
5
5
8
17
8
8
0
0
0
8
0
0
0
0
0
16
16
16
0
16
16
16
24
16
32
20
0
8
4
20
16
16
8
8
16
16
8
0
0
0
12
0
16
16
16
16
16
24
8
16
16
8
8
1
1
2
8
0
0
16
16
2
2
2
24
24
8
8
8
8
8
24
8
8
8
8
0
16
24
0
4
4
0
16
16
16
16
16
4
4
8
8
0
0
0
0
0
8
8
8
4
4
0
0
0
0
0
0
16
8
0
0
0
0
16
24
8
8
8
0
0
0
8
4
16
16
16
0
24
0
0
8
8
8
0
4
4
8
12
8
8
16
16
16
16
16
0
8
8
8
8
2
0
8
8
0
0
0
0
0
0
8
1
12
1
16
16
9
16
24
8
0
0
0
8
8
8
8
8
8
19
0
0
0
0
16
28
2
4
4
0
1
0
28
28
17
1
8
8
0
16
16
24
24
24
4
4
2
1
1
4
4
8
8
8
16
0
4
2
8
32
1
0
0
0
0
4
1
1
0
24
4
22
4
1
16
8
0
0
8
0
0
16
8
8
8
8
8
8
0
8
40
40
40
2
2
2
8
8
28
28
28
1
32
32
0
0
0
40
0
8
8
4
0
24
0
16
16
8
8
8
8
0
0
0
1
1
8
8
8
16
0
8
8
8
16
0
0
0
0
24
0
0
1
1
0
16
16
8
8
1
8
8
16
8
8
8
8
8
2
2
2
2
2
2
5
1
8
8
8
8
8
0
0
0
0
0
0
2
0
0
4
4
16
0
8
8
0
0
0
8
8
0
8
32
32
20
16
4
4
0
0
0
0
0
8
8
8
6
0
0
57
16
16
0
0
0
0
0
0
0
24
0
8
8
4
16
0
8
0
8
8
8
0
2
2
2
2
16
16
16
8
8
8
8
8
2
18
40
16
8
0
0
16
16
16
4
16
16
16
16
0
0
16
16
0
8
8
8
8
8
8
8
0
8
0
1
4
0
8
4
4
4
8
8
8
4
4
0
0
0
0
0
8
8
16
16
0
8
8
8
4
4
4
16
16
0
0
0
0
0
16
0
1
1
16
0
0
0
0
0
0
16
29
20
1
0
16
16
32
0
8
16
16
0
0
0
4
4
8
0
0
2
2
0
0
8
8
8
4
4
4
4
0
0
0
0
8
4
16
16
0
4
4
8
0
0
0
0
0
8
8
16
8
16
16
0
20
4
32
0
0
2
2
2
24
24
24
0
0
0
0
16
16
16
0
33
6
2
2
0
8
8
24
8
8
8
24
0
16
16
0
0
8
8
8
8
1
1
16
16
0
0
0
0
4
4
8
0
32
32
32
8
8
0
0
0
8
8
8
8
16
16
2
0
0
0
8
0
0
0
10
10
0
16
1
0
1
1
8
5
0
1
1
1
0
0
8
8
0
0
0
0
16
8
4
8
0
0
16
2
8
2
2
0
2
4
0
0
28
8
0
0
0
0
16
16
8
8
0
0
0
16
32
1
17
1
30
30
4
4
0
0
8
0
16
8
8
0
0
0
0
0
16
16
16
0
7
0
0
0
0
0
16
24
0
4
4
16
16
4
4
16
8
8
0
8
4
4
8
8
9
1
1
8
6
1
0
0
0
1
1
1
24
0
4
4
8
12
4
4
4
35
32
16
8
8
8
8
8
8
8
0
8
3
3
8
8
8
8
8
8
32
8
0
8
8
1
1
1
1
0
2
2
8
16
16
4
8
8
8
8
8
8
8
8
0
0
0
16
16
24
8
8
2
2
8
8
8
0
16
16
16
16
8
10
24
0
8
32
32
0
8
8
8
16
16
0
0
0
0
16
2
8
2
0
0
16
0
0
0
0
16
16
16
16
0
0
13
16
16
0
0
24
16
0
0
0
0
17
8
8
8
56
8
1
0
1
5
1
1
1
25
25
0
0
0
0
8
0
0
0
2
0
0
8
8
34
0
0
16
16
0
16
0
0
52
52
0
0
32
16
4
8
28
8
8
4
4
4
4
4
33
1
0
23
19
19
16
12
12
0
0
32
0
16
16
16
16
4
16
16
8
8
8
8
16
4
16
4
0
0
0
0
0
4
13
8
8
8
8
8
8
0
0
0
16
16
16
16
8
0
0
0
12
8
8
2
2
2
16
0
24
0
0
0
0
8
8
8
8
0
0
1
1
32
32
32
32
0
0
0
16
16
8
0
0
0
0
1
0
8
9
8
8
34
34
8
1
1
8
8
8
8
8
8
8
0
0
0
0
0
0
0
4
20
4
37
37
4
8
0
8
8
36
0
8
8
8
20
16
4
20
0
17
0
0
16
16
16
0
8
0
0
0
24
8
8
8
24
2
2
2
2
8
2
16
24
9
9
2
2
16
0
4
4
16
8
4
0
8
0
2
16
3
8
8
8
0
16
16
8
8
0
0
0
16
16
16
16
16
16
0
8
0
0
0
0
8
16
16
16
16
16
12
12
8
8
0
0
0
33
33
4
4
4
4
4
4
4
2
2
2
8
16
16
12
18
18
8
8
8
8
8
8
8
16
16
16
0
8
0
0
0
0
0
0
0
16
16
18
16
16
8
8
0
0
1
1
1
8
0
1
8
8
0
1
0
0
8
8
24
0
0
4
16
0
3
8
8
8
0
4
16
16
16
16
16
8
8
8
8
0
8
8
8
0
0
0
16
19
4
4
20
0
0
4
4
2
0
0
0
0
8
8
0
0
0
2
0
0
0
16
16
16
8
8
1
8
8
0
0
8
8
4
16
16
0
0
0
16
16
16
16
16
8
8
8
2
2
2
2
16
0
9
9
9
0
0
0
0
1
16
16
16
16
16
0
1
1
1
56
4
1
1
1
0
8
0
0
8
0
0
16
0
44
4
4
4
8
16
16
16
16
16
16
4
4
4
4
4
4
4
4
4
8
8
8
8
2
2
2
2
1
1
1
4
6
24
24
8
8
8
8
8
8
8
0
4
4
4
24
8
1
16
16
1
1
16
0
8
16
8
8
8
16
16
16
16
16
16
16
4
4
16
16
0
16
16
16
16
0
4
17
8
4
4
16
16
0
8
8
8
0
8
8
8
0
0
0
8
8
0
16
16
16
0
0
0
0
0
16
16
16
0
32
49
0
0
17
0
14
0
0
0
0
0
20
20
20
8
0
0
2
4
4
16
16
16
16
16
16
8
8
0
16
24
24
8
0
16
0
20
8
8
8
0
0
0
0
0
16
16
16
16
16
16
0
16
0
0
0
0
8
8
8
8
8
8
8
8
2
24
4
1
1
8
4
0
32
32
0
16
16
16
16
12
8
8
8
8
8
8
0
23
0
16
17
24
24
1
1
8
0
0
0
23
4
1
8
8
8
4
4
4
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
0
0
0
0
4
20
4
0
0
0
0
0
1
0
0
0
0
0
0
0
4
4
4
1
1
0
0
0
0
2
8
17
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
8
16
8
8
16
0
0
0
0
16
24
24
24
8
16
16
16
16
16
16
0
1
1
2
2
2
18
18
18
18
4
8
8
8
8
8
8
8
32
8
8
8
0
0
8
0
4
1
1
16
1
8
16
24
0
1
16
8
0
0
0
0
16
16
8
8
8
8
20
20
20
20
0
0
0
0
0
0
16
16
0
16
8
0
1
0
0
16
16
16
8
8
8
0
8
8
8
8
8
8
0
8
20
20
0
16
16
16
16
8
8
8
0
16
0
4
20
0
0
8
8
1
0
13
18
0
16
0
8
4
4
4
4
4
4
4
4
8
8
8
8
0
0
0
0
8
0
40
0
0
0
4
16
16
16
16
0
0
16
16
16
8
17
16
8
8
0
0
0
16
8
8
5
8
8
4
4
0
0
0
16
0
8
8
8
16
16
16
16
8
8
8
8
0
0
0
0
0
24
8
8
16
16
20
20
20
20
0
8
8
2
8
8
4
12
0
0
0
18
16
8
8
8
8
8
0
0
0
0
8
8
8
16
0
0
0
8
16
16
8
8
8
16
16
16
5
4
16
0
0
0
8
8
8
8
8
8
16
16
0
0
16
16
16
0
0
1
8
8
8
8
0
8
0
16
16
7
0
28
28
1
0
16
0
0
16
20
20
8
8
4
4
0
0
8
8
16
16
16
16
8
0
0
16
24
24
8
1
0
0
0
0
8
18
0
24
24
24
43
43
0
0
20
20
20
0
0
0
16
16
16
0
0
0
37
8
8
0
8
0
2
0
36
8
24
0
0
0
1
1
0
0
0
16
16
0
0
17
8
8
8
8
8
8
8
8
8
8
8
16
16
16
8
0
0
0
0
0
2
0
16
16
2
0
0
4
0
8
8
8
0
4
4
0
0
8
8
8
8
0
10
32
32
1
12
0
8
0
0
8
25
8
8
16
16
16
16
24
8
8
16
16
16
0
0
0
0
2
2
2
2
2
2
24
16
8
1
1
0
0
16
8
24
8
8
9
9
8
16
24
0
8
0
8
8
8
4
4
0
8
8
8
0
0
8
8
8
4
4
0
8
8
1
1
1
1
1
1
24
24
24
24
2
2
8
8
20
1
1
16
16
16
0
1
0
0
0
8
16
16
8
8
8
8
8
18
17
17
0
0
16
16
2
0
4
8
4
2
2
8
8
16
16
8
1
1
1
2
0
0
0
0
8
8
8
0
0
2
2
2
0
4
16
8
8
8
0
16
16
0
0
0
24
0
0
8
8
16
16
8
8
16
16
0
0
8
8
8
18
18
2
31
8
8
0
0
16
16
16
16
16
4
24
24
0
0
8
8
16
8
0
16
16
0
8
8
2
2
0
8
8
8
16
16
16
2
16
18
18
16
16
1
8
0
8
8
8
8
8
8
8
8
8
17
19
0
0
8
8
4
9
8
0
8
8
8
8
8
8
16
16
8
8
2
8
8
16
0
0
0
0
9
8
0
16
16
16
16
16
1
1
1
1
4
8
8
8
0
2
2
2
8
8
8
8
14
0
0
0
16
1
16
16
16
16
16
16
16
8
8
8
8
0
33
32
0
8
0
24
8
8
8
8
8
8
0
16
0
4
16
0
1
8
16
0
16
16
2
16
16
0
1
2
8
0
0
0
0
4
0
8
8
0
16
16
8
8
8
8
8
4
40
8
0
0
0
0
0
0
0
4
4
16
25
18
18
8
16
16
16
0
16
16
16
16
16
17
2
2
4
0
8
8
8
8
0
8
8
0
33
0
8
8
8
8
8
8
0
0
8
8
16
8
8
0
0
8
16
8
2
16
16
60
1
1
16
0
16
16
16
16
16
8
8
8
8
8
8
8
0
0
0
8
16
16
0
8
16
50
16
8
8
4
8
8
8
8
0
0
32
4
1
5
4
8
8
4
0
0
0
4
0
8
8
0
0
4
12
4
8
8
0
0
1
1
0
3
18
0
0
0
1
1
0
8
8
0
4
4
8
0
8
24
0
8
8
8
8
8
0
8
0
0
16
0
0
4
2
0
0
57
57
8
8
8
9
9
0
2
2
8
8
0
1
8
4
16
16
8
0
8
24
43
0
0
0
0
0
9
2
2
2
2
2
2
2
2
2
2
2
0
0
4
4
4
16
16
4
0
0
24
10
10
10
0
16
16
16
8
8
1
1
1
1
0
16
16
16
16
16
8
8
24
4
16
16
16
1
8
8
8
0
0
0
8
8
8
8
8
0
0
16
0
8
8
0
0
0
0
8
16
16
16
24
0
0
0
0
8
8
0
4
20
20
2
2
2
2
2
2
16
16
0
16
8
8
8
8
8
8
2
5
5
4
2
2
4
16
1
1
4
4
16
6
16
4
4
4
38
8
20
16
16
1
0
1
1
1
1
1
1
8
8
8
8
0
0
0
0
8
8
16
16
16
0
0
16
0
16
18
1
1
1
1
0
0
26
26
8
0
16
16
8
16
4
2
2
2
2
2
0
0
1
0
32
32
32
1
9
8
8
8
8
8
20
8
8
8
8
8
1
1
1
0
16
16
0
0
0
26
26
26
12
4
4
4
4
16
0
8
1
2
2
16
5
0
0
0
16
16
16
16
0
8
8
8
0
0
0
9
24
24
24
8
8
0
20
32
0
8
8
2
0
16
16
0
0
0
0
0
10
0
16
16
16
16
16
16
16
16
0
8
0
0
4
1
1
0
0
0
0
0
0
0
16
8
8
8
0
16
0
0
0
0
0
0
0
0
16
16
4
8
8
16
16
16
8
0
0
0
0
1
20
20
8
8
4
26
26
28
16
8
8
2
2
0
8
0
4
8
8
4
8
8
8
0
0
8
8
8
8
8
2
6
2
1
8
0
8
8
24
24
16
0
8
20
4
4
0
0
8
8
8
0
0
0
0
0
29
16
0
0
0
8
20
8
8
0
4
8
28
8
8
8
16
16
16
16
0
0
0
41
41
41
0
8
8
8
0
16
0
16
16
16
0
0
16
16
16
16
16
8
16
16
20
28
20
2
0
8
24
20
0
8
8
4
4
0
0
0
0
16
16
16
1
0
11
2
16
0
8
0
0
8
8
8
0
0
0
0
8
8
0
16
24
16
0
8
0
0
0
0
0
2
1
4
8
8
8
8
8
0
16
16
2
2
16
16
16
8
2
2
25
0
0
0
12
12
12
18
8
8
0
16
0
0
0
0
8
20
17
16
8
16
2
17
0
0
8
8
2
16
16
0
0
8
16
28
16
16
19
1
16
16
16
16
1
0
0
0
0
16
16
16
16
1
16
14
14
14
14
4
4
2
2
0
16
8
8
8
8
8
8
8
8
0
8
8
24
24
24
0
0
0
0
0
0
16
16
0
28
8
8
8
25
25
0
8
0
16
16
16
16
16
16
8
8
4
4
4
4
4
4
8
0
8
2
24
4
0
0
0
8
0
0
0
0
8
8
8
8
8
0
8
8
8
8
16
8
16
0
0
0
4
4
2
2
2
8
8
8
1
8
1
1
1
1
0
4
8
8
8
8
8
16
0
8
8
8
0
0
8
8
0
6
6
16
0
0
18
2
2
0
0
2
16
16
0
16
8
0
0
0
8
0
0
35
35
35
0
0
0
0
16
16
0
0
0
16
0
4
4
16
16
16
4
0
0
0
2
2
8
2
0
16
16
16
16
16
16
16
0
0
0
0
0
0
8
8
8
8
20
2
2
2
8
0
0
16
8
8
8
8
1
1
0
0
8
8
8
16
16
16
16
16
16
32
0
0
0
16
16
8
16
16
0
4
4
0
8
0
8
0
0
6
16
24
8
8
4
4
2
2
2
16
16
16
16
16
1
0
0
32
32
16
16
16
16
28
28
16
16
16
16
16
16
16
1
8
16
32
0
24
0
8
24
16
2
8
8
8
25
8
16
16
16
8
8
8
24
48
48
48
16
16
16
16
0
0
32
32
32
24
24
24
24
24
8
8
0
0
0
0
8
12
12
8
0
0
0
0
0
0
16
16
4
24
0
1
8
8
4
4
0
8
0
0
9
48
0
0
4
16
0
8
16
16
16
4
16
16
16
8
8
8
8
8
8
8
8
0
2
4
8
8
8
8
0
0
0
0
0
8
16
16
16
0
8
8
8
8
8
8
8
8
0
0
16
8
8
8
2
0
4
28
5
48
0
8
8
8
16
16
16
5
5
24
24
59
59
0
0
16
0
12
12
16
4
4
4
8
16
8
34
0
4
8
0
0
8
8
16
0
0
8
8
34
0
0
16
8
8
0
0
17
17
17
17
16
16
0
0
0
0
0
16
8
8
8
0
8
8
8
0
0
0
0
12
8
4
4
0
0
0
0
1
0
0
24
24
24
0
2
8
32
0
0
8
8
24
8
8
8
0
0
8
0
0
4
4
0
8
8
8
8
4
4
4
4
4
0
0
0
0
8
8
0
16
0
16
16
0
0
2
16
0
0
0
8
8
0
57
57
57
2
8
8
8
8
8
16
16
16
16
8
8
8
16
8
8
16
2
2
2
8
8
8
0
18
18
9
18
18
18
0
8
1
1
0
0
0
6
0
16
4
4
4
8
0
4
4
0
0
1
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
16
16
0
0
2
2
16
16
16
0
0
8
8
8
8
8
8
8
8
8
0
16
0
16
16
16
8
8
8
0
0
8
8
8
8
8
6
6
0
8
0
0
1
4
0
8
16
0
8
8
0
1
16
8
24
24
24
8
8
4
32
32
32
0
8
16
16
16
8
8
8
8
16
0
20
20
20
4
4
0
0
0
0
0
8
8
8
8
16
16
16
4
4
4
4
16
0
0
16
16
16
16
4
0
8
8
0
0
0
2
2
2
2
1
27
8
0
0
4
4
4
4
0
26
0
16
16
16
8
1
1
1
2
4
0
4
4
8
17
17
0
0
8
8
1
1
0
0
2
0
0
4
4
0
8
8
0
8
8
0
8
8
0
0
0
0
0
0
16
16
8
16
8
8
16
16
0
0
0
0
0
1
0
0
8
8
8
8
8
8
12
8
8
8
0
8
0
0
16
8
8
8
12
4
4
4
8
0
1
0
0
0
0
8
8
8
8
8
8
0
8
8
17
4
4
4
4
8
24
0
8
8
0
0
8
2
0
0
0
16
8
8
2
8
8
0
4
4
4
16
16
16
16
16
1
0
0
0
0
8
26
0
2
2
0
8
8
16
4
3
20
21
8
8
8
8
0
0
8
4
32
0
12
12
12
16
16
24
24
18
18
1
1
1
1
0
24
16
16
16
16
16
8
8
8
20
4
4
4
4
4
16
8
8
8
0
16
1
8
12
16
16
8
8
0
8
8
8
1
4
4
5
5
0
4
0
0
0
0
0
0
0
0
16
16
0
8
32
48
48
48
48
48
48
0
0
0
0
8
8
0
8
32
20
8
4
4
4
0
8
16
2
0
0
0
0
2
2
2
2
8
8
1
1
1
0
0
0
4
8
6
32
8
17
16
1
2
2
2
2
2
0
0
0
25
2
1
8
8
0
0
2
0
0
4
0
0
0
0
1
1
1
0
24
8
8
8
24
24
0
0
8
4
4
8
8
16
16
16
20
9
8
8
8
2
8
16
0
0
24
0
0
0
0
17
16
16
9
8
8
0
0
0
0
4
32
4
8
8
16
0
0
0
0
0
0
2
24
24
24
34
0
0
8
8
8
8
0
0
0
0
0
8
8
0
8
8
8
32
0
0
8
0
8
8
8
16
2
2
2
2
2
2
2
2
2
0
0
0
16
16
0
0
16
17
12
12
8
8
0
8
8
0
0
16
16
20
32
24
0
0
0
0
0
8
16
8
8
8
8
4
8
0
16
16
16
16
0
0
0
8
8
0
8
33
8
8
8
8
8
0
0
1
16
20
8
0
0
16
16
0
1
0
0
8
1
8
8
8
8
16
24
16
0
0
2
2
0
16
8
8
0
8
8
0
0
4
4
4
4
1
32
0
1
0
8
24
16
16
0
0
8
0
0
8
20
20
52
8
2
4
4
2
8
8
8
4
4
4
4
16
4
8
16
16
16
0
1
1
0
16
16
16
0
2
0
0
16
16
16
8
8
2
2
8
4
0
0
0
0
1
1
0
16
16
2
4
8
0
0
0
24
24
56
32
40
8
16
8
0
8
16
16
17
16
2
2
1
1
1
1
1
16
16
16
16
0
16
0
37
37
37
37
0
0
0
0
0
1
8
8
1
0
12
8
8
8
4
4
8
8
8
8
8
41
8
8
8
8
8
8
8
4
2
16
4
4
0
0
16
16
16
16
16
16
16
16
8
24
8
8
4
4
4
4
8
24
24
0
0
0
0
0
40
40
8
8
8
8
1
1
9
0
0
0
20
24
8
0
1
9
9
40
8
10
10
8
32
32
8
24
8
8
0
24
0
8
8
0
0
0
0
0
0
9
9
9
8
8
0
16
16
18
16
16
8
16
16
0
4
4
8
8
8
8
8
4
4
2
4
0
0
10
0
0
17
4
12
0
16
16
8
8
8
2
2
2
2
16
16
16
4
4
1
2
16
0
0
0
8
8
8
0
0
0
8
19
19
1
1
2
8
0
0
0
1
16
16
8
8
8
8
0
0
0
8
8
0
0
8
8
8
0
0
16
0
12
4
16
16
8
8
8
8
8
0
0
0
0
8
8
4
2
2
2
0
21
0
0
0
8
4
4
0
0
1
8
0
0
0
0
0
0
0
0
8
8
8
8
8
4
0
0
26
1
1
0
16
8
0
0
16
8
8
8
4
2
2
0
8
8
8
16
8
0
1
8
8
8
8
8
8
8
0
32
32
48
32
16
0
4
8
26
0
0
4
4
4
0
0
8
8
0
16
16
16
8
8
8
8
0
9
9
4
16
0
8
8
0
32
8
8
0
25
8
24
2
2
0
8
8
8
6
6
17
0
0
0
8
8
0
8
8
0
24
24
24
24
8
8
0
0
0
0
1
8
0
0
32
32
16
16
16
8
0
16
16
2
25
18
0
32
1
1
8
8
8
5
8
8
8
0
16
16
16
0
0
8
8
8
8
8
20
2
2
8
2
0
8
8
0
0
0
0
0
8
0
0
0
4
0
0
0
16
16
16
16
16
8
8
0
16
8
8
16
8
8
8
8
8
0
4
8
8
8
8
8
24
24
24
5
0
16
16
8
8
8
8
8
8
8
8
8
0
2
2
8
4
4
8
16
0
24
24
24
8
8
12
12
8
8
8
8
0
8
0
8
8
8
0
0
0
4
4
4
0
0
0
9
0
0
0
0
0
0
8
8
16
16
32
16
16
8
8
8
2
2
16
1
1
8
8
8
0
4
0
8
8
8
49
49
49
49
0
0
0
17
17
0
0
20
20
2
16
8
0
1
1
1
8
0
0
32
18
4
1
8
9
16
16
16
16
0
0
24
0
0
58
8
8
8
8
8
8
8
16
16
16
16
16
8
24
16
16
16
0
16
16
8
8
8
0
0
0
0
0
0
9
1
9
8
9
0
8
0
0
0
0
0
0
0
2
4
8
0
0
0
8
16
16
16
0
0
4
4
16
60
60
16
8
8
8
8
8
8
0
0
0
0
8
8
4
8
8
16
2
2
2
8
16
0
0
17
17
1
1
1
1
1
0
8
8
8
0
0
10
6
0
0
32
8
8
8
8
16
8
8
8
1
16
1
0
0
16
17
17
8
8
2
2
8
1
1
16
8
0
0
0
2
0
0
16
0
8
0
0
20
0
8
8
17
17
17
0
0
8
8
0
0
0
24
8
16
32
8
0
0
8
8
4
4
0
8
4
4
2
2
0
0
1
1
29
8
8
8
8
0
1
1
16
21
16
8
24
24
8
0
0
16
26
2
0
0
1
0
4
4
0
0
8
8
8
8
8
1
0
0
0
16
16
2
2
2
0
0
8
8
8
4
4
4
4
0
0
16
8
8
4
4
4
0
0
0
0
16
16
16
16
12
12
12
9
8
8
16
0
0
16
8
4
16
2
24
8
0
8
0
0
0
43
2
16
16
16
16
16
24
24
16
24
16
32
8
8
8
8
15
13
8
16
16
16
16
16
16
16
16
4
1
16
16
8
8
8
8
8
0
0
0
4
4
1
12
8
8
17
17
17
8
8
4
0
0
16
16
8
8
2
2
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
16
16
16
0
0
0
0
8
8
0
8
8
1
0
8
16
8
8
0
8
0
0
0
0
0
8
4
4
4
0
8
16
8
8
16
0
5
5
5
5
5
0
0
10
24
32
32
32
32
8
0
4
4
4
8
8
8
8
24
4
0
16
8
16
0
8
16
6
0
0
0
0
16
6
22
0
8
8
8
2
0
0
0
4
4
16
16
1
0
16
16
0
4
4
4
32
8
24
8
0
0
8
8
24
24
8
8
0
2
2
2
0
0
0
8
8
0
32
4
4
4
16
1
1
1
8
8
8
8
8
8
8
0
0
20
16
16
8
8
8
4
4
4
8
8
6
0
8
8
0
0
40
0
0
8
8
16
16
8
8
8
8
4
16
0
0
6
6
40
16
16
8
0
24
0
1
1
1
2
0
0
0
0
0
8
0
0
8
8
20
20
20
16
0
20
20
8
8
34
34
0
8
8
0
4
4
0
0
0
0
0
0
8
0
2
8
0
16
0
0
8
16
2
8
8
8
8
8
8
8
16
8
16
0
0
12
0
0
0
8
8
24
8
8
8
8
16
16
0
24
24
24
8
4
0
16
0
16
8
8
8
0
0
0
0
0
0
28
0
0
24
24
0
4
4
4
26
18
32
0
0
8
8
8
0
8
0
0
4
4
8
16
0
0
16
16
1
1
1
1
1
1
8
8
0
0
0
0
8
0
0
0
8
8
8
8
8
0
0
4
1
1
1
0
0
1
1
1
0
0
8
0
4
8
8
1
2
16
4
4
8
8
0
0
8
8
8
8
8
8
0
0
20
16
0
0
0
0
0
8
17
2
8
0
0
16
1
0
0
8
8
0
0
0
0
0
0
0
0
8
8
8
16
16
16
16
21
21
0
0
0
16
16
16
16
8
8
8
16
16
0
0
0
8
0
8
8
8
8
8
0
0
0
8
8
8
16
16
0
4
0
8
0
0
8
8
24
17
0
0
0
0
2
8
16
13
13
16
0
0
2
2
2
2
0
0
0
8
8
8
8
8
8
8
8
8
8
8
0
0
0
4
4
9
9
9
9
9
9
9
9
32
48
28
4
4
0
0
0
16
2
2
2
1
16
8
8
8
8
8
8
4
0
0
24
0
8
8
16
4
4
4
4
4
2
2
2
2
16
28
28
20
0
32
32
8
8
8
8
0
0
21
0
0
0
1
0
0
0
0
0
0
0
21
16
8
8
8
0
0
0
8
27
0
0
9
1
8
8
8
8
16
16
16
24
24
24
24
18
18
0
8
8
8
8
8
0
0
8
0
2
1
1
1
1
1
16
1
0
0
0
24
8
16
24
24
24
2
0
8
16
8
0
0
0
8
8
24
16
16
24
16
40
4
4
0
0
0
16
16
16
0
4
16
16
16
16
0
6
0
28
0
0
0
56
56
0
0
0
8
24
8
8
8
8
8
8
0
21
20
16
0
0
17
17
17
2
2
2
2
2
2
2
0
0
0
4
0
0
0
8
2
1
16
8
0
16
16
16
3
8
0
0
8
0
0
0
0
0
16
16
8
8
16
16
16
16
16
0
0
0
0
0
8
8
4
4
8
8
8
16
1
8
8
8
8
8
8
1
1
1
20
4
4
0
8
17
17
0
1
1
1
0
0
8
0
0
8
8
8
8
0
0
16
16
8
8
8
8
18
8
8
8
8
8
16
10
0
16
8
28
28
8
0
0
0
0
0
0
0
0
0
0
0
0
16
0
8
28
2
8
16
8
8
4
8
18
16
16
16
16
0
0
16
16
4
24
16
16
16
16
16
16
0
8
16
8
0
0
16
16
26
0
0
2
0
16
16
28
24
4
25
2
0
0
0
0
0
22
22
0
0
0
0
8
0
16
8
8
16
28
16
12
1
3
0
0
0
0
0
0
32
0
8
5
5
5
8
0
0
0
20
4
4
20
24
24
24
16
16
32
8
8
0
16
0
0
0
16
0
0
0
0
8
8
16
16
8
12
0
2
16
16
0
0
0
8
0
18
2
0
8
0
0
16
16
0
0
0
24
24
16
8
8
4
4
0
8
0
0
0
16
0
8
8
8
0
2
2
0
16
16
16
16
16
0
0
4
16
4
0
0
0
0
8
56
2
0
0
8
8
8
0
0
0
0
8
8
8
0
16
8
0
6
8
8
19
1
0
18
18
8
4
0
0
0
8
24
8
8
8
8
8
8
8
8
8
0
32
0
0
0
0
0
0
0
8
8
8
24
24
24
0
16
16
0
0
8
8
1
0
0
0
8
8
8
2
2
2
0
0
0
5
5
5
8
8
0
8
8
8
0
8
0
0
8
59
8
16
4
16
16
4
0
0
0
0
16
0
0
1
1
1
0
0
0
8
8
0
61
8
8
8
8
8
8
8
0
24
16
0
0
0
0
0
8
25
25
25
2
2
0
8
0
0
0
28
0
0
0
0
0
8
8
8
0
0
0
16
8
8
8
0
0
16
32
59
8
8
8
16
16
1
1
1
0
8
18
18
0
0
0
4
4
4
0
26
8
0
16
16
8
0
0
0
8
0
0
0
8
1
8
6
2
1
8
8
2
3
2
2
2
8
2
24
24
0
0
0
1
1
1
16
0
8
0
0
0
0
0
0
0
1
0
0
2
0
0
0
0
0
0
0
4
8
0
2
28
4
1
2
0
8
8
8
0
40
0
0
0
0
0
16
0
0
0
8
16
16
2
16
16
8
8
0
1
1
1
8
8
8
8
0
0
8
8
0
16
1
1
0
0
0
1
1
16
16
1
2
8
8
8
8
8
8
16
16
16
0
0
0
8
8
8
6
6
0
0
0
4
0
0
4
0
0
0
0
0
0
0
0
0
0
0
16
8
8
4
4
16
16
8
18
18
0
16
16
0
18
0
16
8
16
8
8
8
8
8
8
8
8
8
8
8
0
0
18
8
8
8
16
0
8
4
16
16
1
1
1
1
0
4
8
8
0
16
16
0
0
0
0
1
8
0
0
0
3
0
8
28
2
12
12
12
0
0
8
1
8
8
8
0
20
0
0
0
4
4
4
4
4
4
4
4
4
4
4
0
1
0
7
7
8
0
8
8
6
16
0
0
0
2
2
0
8
0
20
0
0
16
0
16
5
1
1
8
8
0
16
2
2
8
0
0
0
8
8
24
2
0
24
1
0
0
0
16
2
2
2
4
0
0
0
8
16
20
8
8
4
4
4
16
0
0
0
2
2
2
8
8
8
4
4
8
8
0
0
2
2
2
0
0
0
16
0
1
2
0
51
51
8
8
0
8
0
2
0
0
0
0
0
0
0
0
8
8
4
4
0
0
0
0
0
0
0
10
2
16
0
0
8
8
4
4
4
1
4
12
8
4
0
0
0
0
0
8
8
8
8
0
16
20
20
2
0
0
0
0
2
0
12
8
8
16
16
16
0
8
8
8
8
0
0
1
1
8
0
8
8
0
8
8
8
8
0
16
4
0
0
8
0
0
8
0
8
0
0
0
16
0
8
0
4
4
8
8
0
0
0
0
0
1
1
1
1
4
4
0
0
0
0
0
8
4
8
8
0
2
0
8
16
4
0
0
16
16
16
0
0
16
0
0
8
0
0
1
2
8
0
8
16
0
8
16
0
8
0
8
8
1
1
8
0
2
2
0
0
0
24
0
0
0
0
0
0
0
8
0
0
49
0
0
18
2
2
0
0
0
4
16
16
16
16
8
0
0
8
8
16
29
29
24
3
3
2
0
0
0
16
16
28
0
0
1
1
1
1
4
20
4
8
0
0
0
0
8
8
8
0
0
0
0
0
0
8
8
2
0
16
0
0
8
8
0
0
8
8
16
0
9
0
16
16
0
0
20
16
0
16
0
24
1
1
0
0
0
4
4
0
0
0
0
0
16
2
8
8
10
0
0
16
0
8
0
0
0
0
8
16
0
4
2
2
8
8
8
0
8
8
8
16
16
16
0
16
16
16
16
16
0
0
0
0
8
8
4
4
4
0
0
0
6
6
0
3
3
19
16
16
16
16
16
16
16
8
16
16
4
4
0
0
0
0
8
18
0
16
16
0
1
1
1
8
8
0
8
0
0
8
8
12
8
1
0
0
0
6
8
8
8
8
8
16
0
8
8
24
16
16
0
0
8
4
4
4
4
0
16
16
16
16
0
0
0
0
16
0
24
24
16
25
1
1
17
0
0
8
0
2
8
8
0
0
0
4
9
0
0
8
6
0
0
16
8
8
32
32
8
8
16
16
0
0
0
8
8
0
20
2
2
0
0
8
8
2
0
16
16
0
16
2
16
16
24
0
0
8
8
8
9
8
8
0
8
8
16
0
0
0
0
20
20
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
1
8
8
8
8
8
8
8
8
49
1
1
0
16
16
16
8
8
0
16
25
8
8
8
4
4
6
8
8
0
0
0
16
16
8
12
28
0
0
4
4
16
16
0
8
0
0
8
8
2
8
16
0
0
24
0
22
0
2
2
2
16
0
8
0
0
16
4
4
16
20
0
0
9
1
8
8
12
12
0
0
0
0
0
0
0
16
8
2
0
6
6
6
12
4
4
4
0
8
8
1
0
0
16
0
0
8
8
8
8
8
8
0
1
0
0
8
8
8
0
0
0
0
8
8
1
1
4
8
56
56
2
17
1
8
4
2
0
0
0
0
8
12
0
0
8
8
16
0
0
4
56
24
24
1
1
0
0
0
16
16
2
0
24
24
8
0
4
8
0
0
0
0
0
0
0
0
0
0
24
21
0
30
30
20
8
0
0
8
0
1
0
0
0
2
0
8
12
8
8
16
0
1
1
0
0
0
8
24
0
0
0
8
8
0
0
8
8
8
0
8
8
8
8
8
8
8
0
0
0
16
16
16
0
8
8
8
16
1
0
0
0
1
1
0
0
8
1
0
0
0
16
16
0
0
2
17
2
0
0
4
4
0
0
0
0
0
0
16
8
0
2
2
0
0
1
1
1
1
0
8
32
32
16
16
8
0
8
16
0
18
1
4
16
0
0
10
10
10
2
2
0
0
0
0
0
2
2
2
2
8
8
8
2
16
24
16
0
0
0
0
8
8
8
8
8
4
0
0
8
2
0
0
8
0
0
32
0
0
3
16
0
0
0
8
8
1
0
0
9
32
0
0
0
0
0
20
0
0
0
16
8
8
0
0
0
0
0
0
0
0
0
8
0
2
24
16
0
0
0
0
16
8
8
8
8
0
16
0
0
0
8
2
4
4
16
0
8
8
8
0
0
0
0
0
8
8
8
10
4
0
0
0
0
0
2
0
4
8
12
0
0
8
8
8
16
2
8
4
8
8
0
2
0
0
0
9
9
9
0
16
8
16
17
4
8
8
8
16
2
0
0
16
24
16
8
16
16
0
48
8
0
16
0
8
1
0
8
0
1
0
0
0
0
32
0
0
1
1
1
0
1
1
0
0
0
16
16
16
16
16
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
1
16
18
8
2
0
0
8
0
0
4
4
8
0
0
0
16
16
16
0
8
8
8
16
16
16
4
0
0
0
8
8
16
0
0
0
0
0
0
0
16
0
8
0
0
0
0
0
0
8
8
0
0
0
0
0
8
8
8
8
8
0
32
32
16
16
0
8
0
0
4
1
8
0
8
8
4
0
0
0
0
0
0
0
0
0
8
0
16
8
8
0
16
16
0
0
8
0
0
0
16
24
24
24
0
0
24
16
16
16
16
16
8
8
8
8
0
0
8
8
8
8
8
8
8
8
8
0
8
8
16
0
0
0
32
16
16
16
0
0
0
0
0
16
0
0
0
0
0
24
2
8
16
16
8
0
16
8
8
8
0
0
18
8
0
0
0
0
8
0
32
16
0
0
0
0
8
0
0
0
8
8
8
8
0
0
1
0
8
8
10
10
14
0
8
8
0
0
0
16
0
8
8
8
8
0
0
0
12
0
0
0
0
0
0
8
8
0
0
0
8
8
0
0
8
8
0
0
0
0
1
1
8
16
24
16
0
0
0
0
0
16
1
0
4
49
8
8
8
8
16
0
16
26
2
0
0
24
24
24
0
0
0
0
0
0
8
0
0
8
8
8
8
8
16
8
8
8
8
8
8
8
8
2
2
2
8
0
0
8
5
5
32
32
0
0
0
0
0
0
8
16
16
8
8
4
0
0
2
2
8
16
16
0
2
48
8
0
0
8
8
8
0
16
0
0
20
0
24
24
0
0
0
16
0
0
16
16
16
0
4
8
8
0
16
16
16
0
0
0
4
4
4
8
8
1
8
0
16
16
0
0
8
8
0
8
0
1
8
8
0
16
1
1
4
8
0
2
8
12
0
0
0
8
8
8
8
13
13
1
4
4
4
16
0
16
16
16
16
16
16
16
0
0
0
0
0
0
8
16
0
8
0
0
0
3
0
0
0
8
16
0
0
0
8
12
8
0
0
0
20
2
2
2
0
4
4
4
0
0
8
32
32
1
4
0
0
4
0
0
0
8
0
0
0
8
0
2
16
0
0
0
8
0
0
1
1
16
0
0
2
2
2
0
0
0
0
8
0
0
9
0
8
8
8
0
0
1
1
0
0
8
8
8
8
0
8
4
16
0
0
8
1
16
16
8
8
8
16
16
4
2
0
0
16
16
0
0
2
2
16
16
0
16
16
16
16
0
8
8
8
16
0
0
20
16
2
8
8
8
0
0
8
0
1
8
8
20
20
16
8
0
0
0
0
16
0
8
0
0
0
0
0
0
8
8
1
0
0
8
0
0
0
0
0
48
48
0
0
0
0
0
0
0
8
0
0
16
16
0
0
16
0
0
8
20
8
8
8
0
8
0
8
8
8
8
16
8
0
2
2
2
16
16
16
16
16
16
8
16
16
18
18
4
12
4
4
4
24
24
6
4
4
4
1
1
8
8
8
8
8
8
8
8
8
12
12
8
16
0
4
16
16
8
8
4
16
16
2
0
0
0
24
0
0
16
4
8
8
8
16
16
16
0
6
48
48
24
16
0
0
0
18
8
0
4
4
0
0
0
16
16
16
16
16
16
16
0
8
2
2
24
16
16
0
0
0
16
16
16
0
0
1
0
0
13
13
0
16
18
18
16
0
16
24
16
16
1
8
8
8
0
0
0
1
24
24
24
2
2
16
0
0
0
0
0
0
0
0
0
0
16
16
16
32
0
0
16
16
16
4
8
0
8
2
0
0
0
16
16
16
0
16
0
0
0
0
8
8
4
4
4
4
16
0
1
1
8
8
8
8
0
0
0
8
8
8
0
0
28
1
16
0
0
2
16
8
10
10
10
4
0
0
0
0
0
0
0
8
8
8
16
16
16
0
0
16
0
0
8
8
8
8
8
0
0
16
0
0
0
0
0
0
8
16
0
8
0
8
8
25
25
25
0
0
8
8
0
0
0
18
16
4
4
32
0
8
8
0
16
2
24
0
0
8
12
12
12
8
8
8
8
4
4
4
19
19
0
0
8
9
40
2
8
0
1
0
0
0
32
53
53
0
0
0
24
8
0
0
4
12
8
8
0
0
0
0
24
24
0
4
4
24
24
0
16
4
8
2
2
24
0
8
16
8
8
0
0
0
16
4
4
8
8
16
16
16
4
16
16
16
0
8
14
6
0
1
16
0
0
0
0
0
0
8
0
1
1
0
0
0
0
0
16
0
8
0
8
0
16
0
0
0
0
8
8
8
8
8
0
2
2
2
8
8
16
4
16
16
8
8
0
8
8
8
8
8
8
8
4
0
2
2
0
3
1
0
11
11
0
16
16
8
8
0
0
16
8
16
8
4
32
8
8
0
0
8
0
0
0
0
16
0
20
20
20
16
16
0
8
8
1
1
1
0
16
16
16
16
3
3
0
16
0
0
0
16
16
0
8
8
8
8
0
0
0
12
16
16
16
0
18
0
0
0
16
0
8
24
24
8
0
0
4
20
16
9
0
1
16
8
0
16
16
16
16
16
0
0
0
8
8
8
8
0
0
10
0
16
32
16
16
16
0
8
0
0
0
8
0
8
0
0
0
8
8
2
2
0
16
0
0
0
0
0
0
0
0
2
2
0
0
8
0
0
8
24
0
2
2
2
2
8
9
0
0
4
0
0
0
0
0
0
0
18
16
16
8
8
8
8
0
4
4
4
8
16
8
16
16
17
17
32
2
16
8
0
22
4
0
0
0
0
12
12
1
0
0
16
0
16
16
16
0
0
4
4
2
2
0
0
0
0
0
0
2
16
16
16
0
0
8
8
8
1
1
8
0
0
0
0
0
0
0
16
0
0
1
1
0
0
0
0
0
16
16
16
8
16
8
0
0
16
16
16
16
8
8
8
0
16
0
0
0
8
8
8
8
8
6
6
0
0
16
0
0
0
0
8
8
8
0
24
16
16
18
0
32
48
2
2
0
12
0
0
0
8
8
0
8
4
8
8
8
0
8
8
8
8
8
8
8
8
16
0
16
16
8
1
1
0
0
0
0
0
8
8
0
0
0
0
0
16
16
0
0
0
0
0
1
0
0
8
8
0
0
0
0
3
3
0
0
0
0
24
24
2
2
2
4
0
16
16
0
0
0
0
16
0
0
0
24
0
24
16
16
16
0
0
0
0
0
16
0
0
4
24
0
8
0
0
0
8
0
0
8
8
1
1
1
1
1
0
0
0
0
0
4
4
4
9
9
9
16
0
2
10
0
2
10
2
0
0
0
2
2
0
0
0
0
5
24
0
0
0
8
0
2
8
17
16
8
8
8
0
16
8
0
24
0
16
16
16
0
0
0
8
0
0
16
8
0
0
0
0
0
0
8
0
8
8
1
0
0
0
0
18
18
4
4
9
4
4
12
8
0
0
0
8
8
8
8
0
0
0
4
4
0
8
0
0
0
0
0
0
17
1
0
16
16
0
2
2
0
0
0
2
8
8
2
2
2
2
2
4
16
16
0
0
5
24
8
0
0
16
0
0
2
8
16
16
8
4
4
8
0
8
8
0
4
16
16
16
8
16
0
0
0
0
0
5
0
0
8
4
4
0
16
0
1
16
0
16
0
0
24
0
0
4
4
6
2
16
8
9
9
9
9
1
24
0
1
2
16
16
20
8
4
0
16
0
0
0
24
8
8
40
40
0
0
2
0
0
0
0
2
2
8
8
8
8
8
0
8
8
8
0
0
8
0
0
0
0
16
40
0
0
0
0
16
4
0
2
2
2
2
16
8
0
0
0
8
0
0
0
8
0
4
4
4
0
0
0
2
2
3
0
16
8
8
8
16
8
0
0
8
8
8
8
0
0
0
16
16
0
0
0
8
0
0
0
0
0
0
8
0
8
8
8
16
48
16
16
16
16
8
8
40
4
4
0
0
0
0
16
8
8
2
2
0
8
4
0
18
0
8
0
4
4
0
0
8
8
0
0
8
0
1
0
8
0
8
24
24
0
0
0
0
0
4
0
0
8
8
8
10
10
10
8
0
0
2
2
2
8
8
4
32
0
2
1
0
8
8
8
32
8
8
8
0
2
16
2
16
0
0
1
1
0
0
0
0
0
16
16
16
16
16
16
8
0
0
0
20
4
2
0
8
2
2
16
16
8
0
8
8
8
8
0
4
16
16
16
0
28
16
0
16
8
8
8
0
0
1
0
4
1
1
16
16
0
4
4
1
16
0
1
16
16
0
0
0
0
0
0
1
1
8
8
8
0
0
16
4
16
0
0
2
2
17
0
0
16
32
8
8
0
0
4
1
0
4
4
0
0
0
48
8
8
36
3
3
3
16
28
4
8
8
1
1
24
16
16
16
8
24
4
4
8
8
0
8
0
0
8
8
0
0
0
8
8
8
8
8
0
4
4
6
24
0
0
0
0
0
1
1
1
0
0
0
0
0
0
8
8
0
8
0
9
4
0
8
0
8
0
0
0
16
32
32
16
16
0
0
0
0
0
0
16
8
8
0
0
0
0
24
24
0
36
8
8
8
8
0
0
0
0
6
6
0
8
0
2
2
8
8
16
22
2
0
0
0
40
40
16
0
32
16
16
0
0
1
16
8
2
8
8
16
4
4
20
20
0
8
8
8
0
8
0
0
8
8
8
0
0
8
8
8
8
8
0
0
1
8
8
8
0
20
20
8
8
16
16
0
0
1
16
0
8
0
8
8
2
2
8
1
2
0
0
16
24
0
0
4
4
4
0
4
0
0
8
8
8
0
4
16
16
16
16
0
0
32
32
32
16
0
0
32
0
8
0
8
8
16
16
9
4
13
0
4
0
0
4
4
4
0
0
0
0
0
0
0
16
0
8
0
8
8
8
8
0
8
0
8
20
20
1
0
0
8
16
16
0
16
16
4
4
4
0
32
1
8
16
1
0
0
0
0
4
0
0
0
16
16
16
0
32
0
0
12
1
0
16
0
1
1
8
8
8
8
0
0
0
0
0
8
0
24
0
2
4
4
4
4
16
16
0
0
0
8
8
8
16
16
0
0
0
0
0
16
17
17
17
8
0
0
20
8
40
40
0
0
8
8
32
0
24
0
4
4
8
8
8
0
0
24
8
16
16
0
0
0
32
0
2
8
0
0
0
0
0
34
16
16
8
32
0
8
0
16
0
0
1
1
5
5
1
1
1
0
0
0
1
1
1
8
32
0
8
8
0
10
10
32
8
8
8
8
8
8
16
4
8
8
8
16
16
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
16
1
1
8
0
0
8
8
8
16
12
12
12
0
0
0
8
8
8
0
0
0
1
1
7
4
8
8
0
0
0
0
4
14
0
1
0
4
4
8
8
20
16
16
16
16
57
0
0
0
0
0
21
1
0
0
0
8
0
0
0
8
8
8
8
1
8
8
0
0
16
0
0
8
4
4
4
4
4
16
16
16
0
0
0
0
1
4
2
2
2
8
0
20
8
12
4
0
0
0
8
8
17
16
16
16
0
8
8
8
0
4
18
4
4
4
0
16
13
8
8
0
0
1
1
0
0
0
0
0
26
0
0
16
16
0
0
1
1
8
0
0
16
16
16
12
8
0
0
2
8
8
8
24
24
24
8
8
0
1
0
0
0
2
0
0
8
8
0
0
0
0
0
0
0
16
24
0
32
32
0
1
1
1
0
0
0
16
16
0
2
2
8
8
20
16
16
8
8
8
16
16
4
0
0
0
8
0
0
0
16
4
2
0
26
26
0
0
0
0
8
16
16
16
16
0
39
0
12
0
4
8
8
8
0
18
0
0
0
0
0
4
8
0
0
0
0
0
0
16
4
12
0
8
2
2
1
0
0
8
8
8
0
0
4
16
16
0
0
16
8
25
8
16
16
0
16
56
0
0
0
0
8
8
0
0
0
0
8
8
8
18
20
16
0
0
8
8
8
16
8
0
0
0
1
1
23
17
0
16
12
9
8
0
0
0
0
8
0
0
20
0
0
10
8
8
2
8
8
0
0
1
16
8
16
0
24
8
8
40
0
0
8
0
0
0
0
4
0
1
16
16
16
16
16
16
0
0
0
0
0
1
8
4
0
0
1
1
4
4
4
8
16
4
0
8
0
0
0
0
0
1
0
4
8
8
8
0
1
1
2
16
8
8
8
8
8
8
8
0
0
0
0
0
4
0
0
0
16
0
0
0
16
0
16
0
1
1
16
0
24
0
0
4
4
4
4
4
16
16
16
16
0
24
16
8
8
8
40
8
8
0
16
16
16
0
0
0
8
0
0
0
0
0
0
0
0
0
1
0
0
16
16
16
16
16
16
0
0
0
0
0
8
8
16
16
16
16
0
0
0
8
8
8
40
41
0
0
20
20
8
16
0
0
8
0
16
4
0
4
8
8
0
0
0
0
8
8
8
3
2
0
0
0
0
19
24
8
0
0
0
4
0
4
0
2
2
2
0
8
0
8
8
8
2
0
16
8
0
8
8
0
0
0
0
0
0
0
0
0
0
16
0
4
0
0
8
8
16
8
0
0
0
32
0
0
4
4
8
16
0
24
24
2
0
4
4
0
0
1
0
0
1
8
0
0
0
0
8
8
0
6
0
0
4
4
0
0
0
0
0
20
20
16
16
16
8
8
0
0
0
0
16
16
16
16
16
16
4
0
0
0
8
8
8
0
0
0
0
0
0
2
2
2
0
1
0
0
0
0
0
0
0
4
4
4
8
8
8
8
0
4
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
4
36
4
0
0
0
0
16
0
0
0
0
0
0
0
2
8
8
8
8
16
16
16
1
8
0
0
4
24
28
0
8
8
8
16
8
8
0
0
0
8
8
8
8
8
8
8
8
8
8
1
0
0
8
16
16
16
16
8
0
0
0
19
19
19
16
0
0
2
2
16
14
0
0
8
8
8
8
8
8
8
0
0
0
0
20
8
8
8
8
0
8
8
8
8
0
0
9
8
0
16
16
16
8
8
8
8
8
0
8
0
16
16
0
0
0
0
8
8
8
8
16
16
16
16
16
8
8
16
0
0
0
4
9
1
1
1
0
0
0
8
16
16
8
8
8
8
16
2
0
16
16
0
8
8
8
8
0
0
8
0
40
40
1
2
0
0
0
8
8
8
8
0
0
8
8
8
8
8
8
8
8
0
0
0
0
0
0
8
0
20
8
13
5
28
24
0
0
0
18
18
8
8
4
8
16
16
16
0
8
8
8
8
0
8
8
8
8
8
0
8
0
0
0
0
0
0
4
16
16
16
0
0
8
8
4
8
8
4
4
8
8
16
22
0
0
0
24
2
2
0
0
20
4
20
16
48
8
8
0
2
2
16
16
16
16
4
4
1
1
4
0
4
8
8
0
8
8
8
0
0
2
2
8
0
16
16
3
8
4
4
16
8
0
8
8
0
0
24
4
4
8
1
0
12
8
8
16
0
8
8
0
16
16
8
8
32
0
1
0
4
0
0
8
0
8
0
1
1
1
1
1
0
0
17
0
40
4
25
16
4
4
0
8
0
0
16
0
0
0
0
0
0
0
8
8
8
0
16
0
0
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
8
16
16
16
8
0
0
0
0
0
0
8
0
48
8
16
16
0
8
8
8
8
8
8
8
0
2
8
8
8
4
1
17
16
16
4
8
8
8
8
0
8
0
0
8
8
0
0
0
0
4
4
8
0
8
8
8
8
8
8
4
16
8
8
24
0
17
0
0
0
4
4
8
0
4
8
8
4
4
8
8
8
8
32
0
0
0
1
1
3
0
16
16
0
0
0
0
0
16
1
8
8
8
8
6
4
4
25
32
32
0
0
0
0
0
8
8
8
8
8
16
4
0
0
0
0
0
0
4
0
0
8
8
8
36
24
0
0
0
0
0
0
0
4
4
8
8
4
4
2
8
12
12
12
8
40
40
40
0
0
0
2
2
0
1
4
4
4
16
16
16
0
16
16
16
0
8
18
18
0
4
4
8
8
8
0
0
16
16
16
16
0
16
8
4
4
4
0
0
8
24
24
8
8
8
8
8
8
6
0
2
0
0
16
16
4
4
57
16
0
8
8
4
0
0
0
0
0
0
0
0
0
0
8
8
0
0
8
16
16
16
32
32
8
8
8
4
8
16
0
8
8
16
2
8
1
0
0
0
0
0
1
17
1
8
0
0
0
0
0
8
8
8
0
0
8
28
28
8
8
8
8
8
8
8
8
8
0
0
4
0
0
0
0
0
0
0
16
22
16
0
8
8
0
4
4
8
13
0
8
0
0
0
0
0
0
0
0
0
0
0
8
0
0
1
1
0
0
0
32
0
0
0
1
0
8
2
0
8
0
0
0
0
1
1
1
0
0
0
0
0
16
0
0
0
2
2
8
8
8
0
0
16
16
17
4
6
6
0
4
2
16
25
9
0
0
8
8
8
8
8
1
0
24
24
24
0
8
0
8
8
8
8
8
0
0
0
8
8
0
1
8
8
1
2
4
2
2
2
2
8
8
16
2
16
0
16
4
4
0
0
12
12
12
16
16
8
0
16
16
16
16
16
8
16
0
0
16
16
0
0
0
16
0
0
8
8
16
0
0
8
8
0
12
8
16
0
0
8
8
4
0
0
0
0
8
8
0
0
8
8
28
24
4
4
0
8
8
8
16
0
2
8
0
0
0
8
8
8
0
0
2
12
8
8
16
16
0
0
24
16
0
4
0
8
8
8
8
8
8
8
24
24
2
2
2
2
0
0
16
16
16
0
16
16
16
20
8
8
17
0
0
8
8
8
24
8
1
4
4
8
8
4
4
0
0
19
19
0
0
8
21
8
8
0
8
1
1
1
0
8
20
0
0
0
8
8
8
8
8
10
0
16
0
0
0
8
8
16
0
0
0
16
16
0
0
0
8
8
8
8
8
16
16
16
0
0
0
0
0
8
8
8
16
1
0
2
2
8
8
8
0
0
0
0
0
0
0
4
4
4
2
8
25
25
8
8
16
8
0
0
16
9
0
8
8
8
8
8
1
1
1
1
1
1
0
0
0
4
8
0
0
16
16
16
16
0
16
0
0
0
0
18
18
8
8
8
0
0
0
1
16
16
8
8
8
8
8
8
8
8
8
16
0
0
0
8
24
24
24
8
0
4
4
24
24
8
32
0
0
0
0
0
5
0
0
0
4
0
0
16
16
16
16
0
8
8
0
8
8
3
3
4
1
8
24
0
0
0
0
4
16
8
4
4
16
16
16
8
8
0
8
9
8
8
8
0
0
8
8
16
8
8
0
8
8
0
24
16
16
4
0
0
0
0
0
0
0
12
0
28
28
4
0
0
8
8
0
0
0
0
0
0
8
0
0
0
8
8
16
16
16
16
20
20
24
0
0
0
16
25
0
0
0
24
0
0
28
2
32
0
0
24
1
1
1
8
0
8
0
0
0
0
0
0
8
8
0
16
16
4
4
4
0
0
8
16
16
8
0
0
0
8
8
8
8
4
8
8
0
4
4
4
0
0
0
3
9
8
8
8
8
8
8
8
0
0
0
16
16
16
16
16
8
16
16
16
16
16
16
9
8
8
1
0
0
0
0
16
16
8
24
0
8
1
0
0
0
9
9
2
2
2
2
8
16
4
24
8
8
8
8
0
0
0
0
0
4
0
0
0
8
16
16
16
20
0
4
4
1
1
1
36
36
32
0
0
0
2
2
8
0
0
8
8
0
0
0
0
8
8
0
0
16
16
8
8
2
8
8
0
0
0
0
0
8
8
2
24
8
28
0
0
16
0
0
0
8
8
0
0
8
8
8
8
8
8
0
0
4
8
8
8
8
8
8
16
16
0
0
0
6
6
0
0
0
0
0
3
4
8
0
5
5
16
16
12
12
12
16
16
16
16
16
0
0
2
8
8
8
8
8
4
4
0
24
8
0
8
0
16
32
8
8
0
8
8
17
0
0
0
0
0
0
16
0
56
0
0
1
1
17
0
0
32
32
16
16
0
4
4
4
4
4
4
4
4
0
8
9
9
8
1
0
0
0
0
8
8
8
0
8
0
4
4
0
8
8
9
1
1
1
0
0
0
0
0
4
0
0
0
0
0
0
0
16
0
4
8
8
8
8
0
2
11
0
0
0
16
0
0
0
0
8
1
1
0
0
0
0
0
0
0
8
8
8
0
2
24
24
8
0
8
8
4
0
8
8
8
8
2
10
10
10
10
16
0
0
16
49
0
18
8
8
8
8
8
8
8
8
8
24
8
8
8
0
8
8
0
4
24
24
1
1
5
0
0
0
0
0
0
0
0
16
8
8
4
4
0
16
11
8
0
0
0
8
4
4
17
0
0
0
0
4
1
0
4
4
4
4
8
8
16
16
16
8
22
0
0
0
12
4
4
0
0
0
8
0
0
8
12
12
0
0
0
1
8
24
24
0
0
0
0
0
0
0
16
16
16
16
16
16
16
4
8
1
1
8
8
8
20
22
22
20
8
8
8
8
8
0
8
0
0
0
16
16
16
0
22
22
22
0
0
0
6
6
4
20
8
8
8
4
4
4
4
4
4
8
0
16
0
0
12
8
8
8
8
16
16
8
0
0
0
8
8
8
8
8
8
8
0
0
8
0
0
1
1
1
8
1
1
1
1
1
1
1
1
0
0
8
8
8
8
8
8
8
0
0
1
1
1
16
16
16
8
8
8
8
0
8
0
0
0
0
17
17
24
8
8
8
2
2
16
0
1
1
0
2
28
12
8
1
0
0
4
0
0
4
8
2
2
2
1
1
8
8
0
12
0
0
28
28
2
2
2
8
8
8
16
16
16
1
2
0
0
1
0
8
0
28
28
0
10
10
0
28
0
0
8
8
8
4
4
17
17
17
16
16
16
16
8
4
8
0
8
8
8
8
8
8
0
16
16
16
16
16
16
16
24
8
8
21
2
0
0
9
9
0
8
8
0
2
4
4
0
8
8
4
4
0
8
8
1
0
0
27
27
27
27
16
8
8
8
8
16
16
0
0
4
16
0
0
8
8
0
0
24
0
32
0
0
0
0
0
8
8
8
8
8
1
1
0
1
1
1
1
1
1
1
1
1
8
0
0
0
0
0
8
8
40
40
48
48
0
6
6
8
8
8
8
16
4
0
0
1
1
0
8
1
8
8
0
8
8
8
16
0
0
0
2
0
0
0
20
0
8
16
16
16
0
0
0
16
16
16
0
1
1
0
0
0
0
0
0
0
4
32
16
0
8
8
4
4
24
0
0
0
24
0
4
0
0
0
1
1
1
8
24
16
0
0
8
0
16
2
8
8
8
8
8
8
4
4
8
8
8
8
8
8
12
4
4
4
8
8
16
16
0
0
8
8
0
0
8
4
0
0
1
0
0
0
0
40
40
40
8
8
4
8
8
8
0
0
17
0
0
16
0
40
0
8
0
8
8
3
2
2
2
0
8
8
8
16
16
8
8
24
16
1
8
0
2
16
16
16
16
8
8
0
0
0
8
0
4
0
0
0
16
8
8
8
8
8
8
8
3
11
4
23
8
8
0
8
0
1
1
0
0
4
4
0
0
8
8
8
8
2
2
2
2
0
0
8
1
12
4
8
8
0
0
0
0
0
0
0
4
0
0
0
8
8
8
0
6
1
1
1
1
8
5
17
8
8
16
0
0
0
4
4
0
0
0
0
9
8
0
0
0
1
1
1
1
0
0
0
0
8
1
1
1
1
1
1
0
16
8
8
1
1
8
0
8
8
8
2
4
1
1
8
0
0
0
0
28
28
0
16
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
4
4
4
0
16
0
0
0
16
16
8
8
0
4
16
16
16
16
1
1
1
17
8
8
8
8
8
0
0
1
8
0
8
16
20
32
8
4
8
16
6
16
16
0
16
8
16
16
16
16
4
4
0
8
0
0
0
0
1
8
8
61
0
8
8
32
24
8
8
8
0
8
8
0
0
1
0
0
0
0
8
8
8
0
0
0
0
8
8
8
0
16
24
0
16
16
20
20
24
0
0
0
0
4
8
8
5
16
16
1
2
2
8
8
8
8
8
8
8
8
8
8
8
0
2
4
4
24
8
0
8
8
8
8
0
8
0
0
8
8
8
8
0
8
2
1
0
16
16
8
0
6
6
16
16
16
16
20
0
48
48
0
0
0
4
8
8
2
20
20
17
0
0
0
4
4
4
4
4
0
2
2
4
0
8
0
28
28
28
28
34
34
34
8
0
0
1
2
16
24
2
1
1
0
30
30
8
8
8
8
12
4
17
0
1
20
2
18
16
8
8
8
16
9
8
32
0
0
4
0
0
0
0
4
4
16
0
16
0
0
0
0
0
8
8
48
8
48
16
32
48
0
0
8
16
16
0
0
0
18
22
0
0
0
0
0
0
0
0
0
0
16
0
8
0
2
10
8
0
16
16
8
8
8
8
0
0
0
0
8
0
8
4
4
0
16
16
16
8
8
2
8
8
0
0
32
32
0
8
0
0
16
16
16
2
8
16
1
4
4
0
16
16
16
16
0
4
0
0
0
4
1
0
2
2
2
0
0
8
8
8
0
0
0
20
16
56
0
0
0
24
8
8
10
16
16
17
1
1
12
12
12
0
4
1
1
1
1
1
1
1
8
8
8
8
0
0
0
0
0
0
6
2
0
0
0
0
16
16
8
8
0
0
17
8
0
0
1
1
16
0
0
0
4
0
24
8
8
0
16
16
1
1
1
1
8
0
0
8
32
0
0
8
8
0
8
8
8
20
20
8
8
8
8
8
8
8
0
0
0
0
8
8
8
8
8
0
8
8
8
8
0
0
0
2
4
0
10
10
0
0
16
16
16
4
0
16
16
16
4
16
16
8
4
4
0
2
2
0
8
18
8
0
8
0
0
0
2
8
0
0
16
16
0
12
0
0
0
8
8
8
9
0
0
0
0
4
4
4
8
12
8
8
0
0
0
4
0
0
0
0
0
6
20
4
1
8
8
8
16
0
8
8
8
8
16
4
8
8
8
16
16
0
0
8
8
8
8
0
0
0
0
16
8
8
8
0
16
2
2
2
0
32
8
8
0
0
16
2
0
4
4
8
0
16
16
0
0
0
4
4
16
0
0
4
4
16
8
0
0
0
0
0
0
16
16
24
0
24
8
16
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
4
4
0
0
1
1
1
1
8
40
40
0
0
0
0
10
8
0
16
0
0
4
4
1
20
8
8
16
16
16
16
16
8
0
8
0
0
8
4
10
10
16
8
8
8
8
8
24
8
0
8
8
4
8
1
1
4
4
16
16
0
0
0
8
8
16
16
16
16
4
4
32
32
0
0
0
0
32
8
8
8
22
8
0
0
20
0
2
0
8
8
1
1
1
16
16
0
54
4
20
28
32
2
2
24
24
24
8
8
0
0
1
1
8
8
0
18
0
0
4
0
0
16
16
0
1
3
0
0
0
0
35
0
8
8
0
8
10
8
8
4
0
0
4
4
4
4
8
0
8
8
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
25
0
56
0
8
8
8
0
8
0
8
8
8
8
0
16
8
8
16
8
2
2
8
0
8
0
8
8
0
4
4
0
0
16
0
0
8
0
0
2
2
2
8
16
16
16
0
0
1
0
4
0
8
0
0
0
0
17
8
0
0
0
0
16
16
8
8
8
0
0
0
0
16
16
16
24
16
0
0
8
8
8
8
4
0
0
0
0
16
9
9
16
8
8
4
8
0
8
8
16
16
0
0
8
8
0
0
0
0
0
0
0
0
0
8
8
0
1
0
8
28
12
8
8
1
1
16
24
24
8
8
8
8
8
8
32
8
8
8
0
0
8
8
8
8
8
8
8
0
20
0
0
0
4
16
16
0
8
0
0
0
0
4
8
8
1
1
0
0
8
32
8
0
0
0
0
24
0
8
8
4
0
0
0
8
8
8
9
2
2
2
2
1
4
4
8
8
2
18
0
8
8
8
8
8
8
8
8
16
16
16
0
16
0
8
0
16
16
1
0
8
8
16
16
8
24
0
0
16
16
16
0
0
20
20
8
8
8
8
8
8
2
2
8
8
0
0
16
16
8
40
16
48
0
0
24
0
4
4
4
0
0
0
0
24
24
24
24
8
0
0
0
0
0
2
2
24
0
0
0
8
40
8
53
0
0
0
0
0
0
0
24
24
16
0
16
8
0
0
0
16
4
4
0
24
0
16
16
16
16
16
8
8
0
0
24
4
32
32
0
20
4
49
2
2
8
8
0
0
8
4
0
0
8
4
4
4
0
0
16
1
1
0
2
0
0
8
8
8
8
8
8
8
0
4
18
16
8
2
16
16
16
16
16
2
2
6
0
0
0
0
8
2
0
4
22
16
0
8
8
4
4
4
2
2
2
2
2
0
6
6
16
8
16
0
0
0
5
2
0
12
0
4
4
24
0
8
8
8
8
8
0
0
8
0
8
8
8
1
16
2
2
16
16
0
8
8
0
0
16
4
0
16
24
4
4
0
0
8
8
0
0
15
15
15
15
15
0
0
0
8
8
16
16
0
0
8
8
1
1
8
16
16
8
8
8
8
0
1
1
1
1
0
4
0
0
0
0
8
0
16
16
0
8
8
8
0
0
0
17
13
0
0
0
0
8
2
32
8
0
16
16
16
0
4
4
16
2
16
4
1
1
8
0
0
0
8
16
16
16
8
8
0
0
4
8
8
8
8
0
5
0
0
0
1
0
18
18
8
8
0
0
30
30
0
0
0
0
2
2
0
42
0
0
0
0
0
0
0
0
4
4
0
0
8
0
32
32
32
8
0
20
0
5
8
49
49
16
4
8
0
0
24
0
2
2
2
2
8
0
0
4
4
4
2
8
8
8
4
4
4
0
0
0
16
8
0
4
8
8
0
25
0
16
4
0
0
0
9
0
0
16
0
0
0
0
4
4
0
0
0
0
0
8
0
0
8
8
8
8
8
24
24
16
8
16
0
8
9
8
4
0
12
8
2
2
2
0
16
8
8
0
8
8
0
0
0
0
8
8
1
4
10
0
0
0
0
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
2
2
24
40
8
8
0
8
8
0
17
1
4
8
8
1
0
16
0
8
0
0
0
18
0
58
58
0
8
8
8
1
16
0
0
2
0
8
1
8
16
16
16
4
0
0
0
1
8
8
8
16
4
0
8
8
20
8
0
1
1
24
19
0
0
0
4
8
8
8
0
2
8
4
16
16
0
0
0
0
0
0
1
16
0
0
8
8
8
8
8
8
24
24
0
16
8
8
8
8
8
16
16
8
0
24
0
0
0
0
0
0
8
24
0
8
16
0
8
5
8
8
8
8
46
46
0
0
0
0
0
8
16
36
4
4
0
0
0
1
8
44
8
8
16
16
16
0
8
0
0
24
8
8
8
0
0
0
1
0
0
0
1
8
8
0
0
0
0
17
0
0
2
0
8
8
0
8
8
8
16
16
16
16
4
4
17
17
17
8
8
16
8
8
8
8
8
0
0
0
4
2
16
16
6
0
8
8
0
8
8
8
0
8
0
8
8
8
3
3
27
0
0
0
0
8
8
0
56
56
0
0
0
0
0
0
8
8
0
0
0
2
2
2
2
8
8
8
8
8
0
0
0
0
0
0
0
16
16
1
1
4
4
4
0
16
16
16
0
1
1
1
1
1
8
8
8
0
0
2
8
2
8
0
0
0
8
8
8
0
0
0
24
0
1
12
12
16
16
8
8
8
8
0
16
8
16
29
4
2
2
2
2
8
8
0
8
24
8
0
1
1
0
0
0
8
0
4
4
0
0
0
0
8
8
16
16
0
8
16
16
16
16
16
16
16
16
4
0
0
0
0
24
8
7
0
0
1
1
8
8
8
8
2
10
16
16
0
0
0
16
12
8
8
16
16
16
0
0
12
53
0
0
8
0
0
0
32
32
9
8
8
24
17
0
0
0
0
8
0
16
16
16
2
0
8
8
8
16
16
8
8
4
4
2
2
2
1
1
0
0
0
0
4
8
8
8
8
8
20
20
0
8
16
8
8
0
0
0
16
16
0
0
1
8
8
8
2
0
8
8
8
1
1
0
0
0
0
0
4
4
0
4
4
0
0
0
0
12
0
0
0
0
0
8
16
52
4
4
0
0
0
0
12
12
8
8
8
8
0
16
16
16
0
0
2
0
0
8
8
16
0
8
8
8
8
8
8
8
4
4
0
2
2
2
8
0
0
0
0
0
8
0
0
8
8
8
16
16
0
16
0
0
32
16
16
8
8
8
0
6
6
13
1
1
1
1
0
8
6
8
8
8
4
4
4
4
8
8
8
8
8
8
8
0
0
8
8
8
8
8
12
8
0
8
8
18
0
8
8
0
0
0
0
59
2
1
1
0
8
8
17
17
17
17
8
16
16
0
0
8
8
1
0
4
12
8
8
16
8
8
0
8
8
8
8
0
8
12
9
8
8
8
0
8
8
8
8
8
8
8
8
8
8
16
0
16
8
0
0
16
32
8
8
8
4
0
0
8
0
0
32
0
1
0
0
0
8
8
8
8
8
0
0
8
4
16
16
16
8
8
1
1
0
8
8
4
0
8
8
8
8
16
0
0
0
8
8
0
0
4
4
4
4
0
8
8
8
0
8
4
8
4
4
4
16
0
0
26
26
26
26
0
0
2
8
8
4
4
8
1
0
1
1
1
8
8
8
0
16
16
0
8
8
16
16
16
8
8
8
8
8
32
16
16
8
4
12
0
2
8
16
16
8
8
40
40
40
8
8
0
4
0
0
0
0
16
16
8
34
8
0
0
0
16
16
16
16
4
4
8
8
0
0
0
0
8
16
0
8
0
0
0
0
0
12
0
4
24
0
1
25
0
8
0
0
2
0
16
16
16
16
16
16
16
16
16
16
16
0
0
0
0
0
16
16
16
0
16
48
4
0
8
8
8
8
8
8
40
8
0
0
8
8
8
0
0
8
8
8
8
0
0
32
0
8
0
0
16
16
16
0
0
0
0
0
16
2
4
1
1
8
24
1
4
0
8
0
0
8
8
8
8
8
8
8
0
0
0
8
32
8
0
0
0
16
16
1
26
16
0
16
16
16
16
16
9
0
8
8
57
1
8
16
16
16
8
8
52
52
24
8
4
24
24
24
4
4
4
0
0
8
8
8
0
0
16
16
0
24
8
8
8
8
0
19
19
0
0
0
4
4
8
8
0
0
0
8
8
0
0
0
0
0
8
8
8
8
8
8
8
16
16
0
0
6
4
24
0
0
1
0
0
0
0
0
16
55
34
26
0
0
0
0
8
0
0
0
1
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
8
2
32
16
16
16
0
0
8
1
17
4
0
4
4
4
4
4
16
16
8
16
24
8
8
0
0
8
8
8
16
8
1
5
1
0
16
2
0
0
16
8
0
8
8
4
1
0
16
20
8
8
8
8
0
2
2
2
8
16
16
16
0
0
8
8
2
4
0
0
0
0
0
0
0
8
8
8
0
0
12
8
8
0
0
0
24
0
0
0
0
4
16
16
16
0
0
0
16
16
2
8
8
18
18
0
8
0
4
4
8
8
8
8
16
8
16
0
8
8
16
16
16
16
20
0
24
8
0
0
8
8
0
0
16
16
0
0
0
0
0
0
0
0
0
8
8
0
8
8
8
8
2
2
2
2
2
0
0
28
0
8
8
8
8
8
0
13
13
13
8
4
16
2
4
1
8
8
0
0
0
0
0
16
8
8
8
4
16
0
16
24
8
8
8
0
0
8
8
8
2
2
2
2
2
8
0
0
32
13
0
0
8
0
16
16
16
10
0
0
8
24
24
8
8
8
32
32
32
0
0
0
8
0
8
8
8
18
2
0
4
4
0
8
0
0
0
8
8
1
1
1
1
2
2
16
1
0
9
1
0
8
8
16
8
0
0
0
0
40
0
4
8
8
8
8
8
8
16
16
0
0
18
9
0
16
16
0
0
0
0
16
2
2
2
2
2
2
8
8
18
4
0
0
8
0
0
0
0
0
8
8
0
2
0
0
0
0
0
8
8
0
0
0
16
8
16
4
0
0
16
8
8
8
0
0
0
8
8
8
8
0
16
0
0
0
0
1
0
0
0
0
22
4
4
0
0
0
8
0
8
8
8
8
2
8
1
2
8
0
0
0
0
0
8
8
8
8
16
16
24
8
8
8
8
8
0
8
8
8
8
8
8
8
0
2
8
0
0
8
8
0
8
58
58
58
4
4
1
8
1
0
0
0
0
16
16
0
0
0
1
1
1
1
8
8
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
20
20
20
8
8
8
8
8
20
4
0
0
8
16
0
0
0
2
2
1
8
16
8
0
0
16
8
8
19
16
16
16
16
16
4
4
0
8
10
5
16
24
0
24
8
0
0
0
8
0
16
24
8
8
8
0
0
0
8
8
8
0
0
0
8
0
40
2
2
2
2
2
20
16
16
16
8
8
0
8
8
8
8
8
8
0
0
8
8
8
8
8
0
8
8
49
49
2
8
1
8
8
8
8
0
0
0
8
8
16
8
8
0
16
16
16
8
8
8
1
0
0
0
0
0
0
2
2
2
8
8
8
8
8
45
45
45
8
8
8
8
8
8
8
4
8
8
8
8
0
8
0
16
0
0
2
2
2
32
32
32
32
8
8
24
24
8
0
16
4
4
4
2
2
8
8
8
2
2
2
10
0
0
31
8
8
0
16
32
0
0
6
0
0
0
16
18
0
0
8
8
8
8
8
16
16
48
32
3
3
51
0
0
8
0
8
0
0
1
1
40
40
0
0
8
8
8
10
8
8
0
2
2
0
0
16
16
16
0
4
16
4
4
16
16
16
16
16
32
32
1
1
0
0
8
0
1
1
24
24
8
8
8
41
41
41
2
8
8
8
8
8
22
8
8
8
8
8
0
0
0
8
8
8
2
0
24
16
16
16
1
0
16
0
0
0
0
8
0
8
8
8
8
8
8
8
8
0
8
1
4
4
4
0
0
16
0
0
8
2
2
0
0
16
16
17
0
8
8
8
8
16
16
4
16
16
16
32
0
8
8
16
22
16
8
8
8
32
32
1
0
8
8
8
5
5
5
5
18
16
16
2
8
8
1
0
8
8
0
0
24
8
16
16
2
2
2
0
9
9
9
32
32
8
12
8
28
28
0
8
8
8
8
0
0
0
3
3
12
8
0
0
0
0
0
0
16
16
8
8
8
8
0
16
16
16
16
2
2
0
16
16
16
0
0
8
8
8
8
4
4
0
16
0
0
17
8
8
8
8
16
0
32
33
0
0
0
16
16
8
8
20
20
0
0
0
18
16
16
0
8
0
16
16
16
16
16
16
16
16
16
2
2
16
16
16
2
8
8
24
24
24
8
8
0
2
8
8
8
8
16
16
16
2
16
16
2
2
1
1
0
0
8
8
8
0
8
16
16
16
16
8
16
4
0
0
0
16
16
0
0
8
8
0
0
0
0
0
0
0
0
0
16
16
2
2
2
2
2
10
2
16
16
8
0
0
1
1
0
0
8
1
1
0
16
32
16
16
0
16
16
1
8
8
8
8
8
8
12
8
8
8
8
16
16
16
16
16
16
16
4
0
16
16
0
0
0
0
8
8
2
0
8
24
16
16
16
16
16
0
0
0
8
1
0
2
2
2
0
4
8
0
4
0
16
16
4
16
16
0
0
0
1
17
1
1
1
0
0
0
16
16
16
16
18
17
22
8
8
8
8
1
8
8
8
0
8
1
2
8
0
9
1
16
0
0
16
16
0
0
16
16
16
0
16
16
0
0
0
0
8
0
0
0
8
8
56
16
8
4
8
28
24
4
4
2
9
9
9
0
0
0
0
0
8
8
4
4
8
0
0
0
0
1
8
8
0
8
16
8
2
1
1
16
16
24
1
0
2
24
16
16
8
1
0
2
2
2
0
0
0
16
16
16
16
4
8
0
1
1
1
1
1
1
1
1
8
0
16
16
8
8
8
8
8
8
8
8
8
16
10
8
0
0
8
8
32
32
0
0
8
16
8
0
8
0
0
16
17
1
1
8
8
0
0
20
20
20
8
0
1
0
0
8
8
8
8
8
0
0
0
0
48
8
8
8
4
16
16
0
16
8
8
24
32
2
8
8
8
32
32
32
32
8
8
8
8
8
32
32
32
16
16
16
16
16
16
16
8
4
4
4
4
4
4
4
2
2
2
4
4
4
4
4
16
0
2
2
0
0
0
0
0
0
32
32
32
32
16
1
1
0
0
4
4
18
16
8
16
16
0
16
16
16
4
4
4
4
8
31
31
0
0
0
0
8
8
0
8
0
0
0
8
8
8
8
8
8
8
4
4
2
8
8
0
0
0
0
8
3
3
2
2
8
24
16
8
12
8
8
8
0
16
1
0
0
0
0
2
8
1
8
8
0
0
0
0
0
0
0
16
16
16
16
0
0
36
4
8
8
4
9
0
0
4
1
1
1
0
0
0
2
1
4
4
4
4
4
0
16
2
2
2
2
2
33
33
33
33
4
1
1
1
1
1
4
4
4
8
17
17
29
1
1
1
1
1
8
2
8
8
2
0
16
0
0
8
4
8
8
20
4
0
2
0
4
0
0
8
8
8
8
8
8
8
12
0
0
17
8
0
4
4
4
4
4
1
1
1
1
1
1
1
1
16
8
8
8
8
9
4
4
4
8
8
16
8
0
8
8
0
16
16
16
16
4
8
16
2
8
9
24
24
0
8
8
8
1
1
8
1
0
0
0
0
32
32
32
0
0
0
0
0
8
8
8
8
16
16
8
8
8
8
8
8
8
8
8
2
8
8
8
8
8
8
8
8
0
0
0
0
16
0
16
32
8
20
16
16
16
20
16
16
4
9
18
2
0
8
8
8
8
8
8
8
8
8
4
4
8
4
4
16
16
16
2
18
16
24
16
18
16
4
4
6
8
0
32
0
2
2
2
2
2
2
16
16
16
0
8
8
8
2
2
16
26
1
1
8
8
8
8
24
16
0
0
16
0
0
20
20
20
20
0
0
0
0
8
8
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
20
20
0
0
0
0
0
0
32
32
0
48
48
2
2
2
24
16
8
8
0
0
0
0
0
0
16
16
16
16
20
20
20
0
24
16
16
16
16
24
8
8
8
0
0
4
4
4
0
0
0
0
32
32
32
32
16
16
0
0
8
8
8
0
8
8
8
8
8
8
8
8
8
16
16
16
16
8
12
4
10
0
0
4
4
4
0
4
4
4
4
8
9
8
17
0
0
0
0
0
0
9
2
2
2
2
2
0
8
8
8
1
1
16
4
16
16
16
6
8
8
8
8
8
0
0
0
4
12
1
1
1
8
8
16
1
1
0
32
32
8
8
8
26
1
1
16
4
20
0
0
0
0
0
57
57
0
16
16
16
0
8
8
8
8
8
0
4
8
8
8
16
16
16
4
8
8
12
16
16
16
8
0
16
1
16
16
2
2
0
4
16
16
8
8
8
8
0
16
16
9
16
6
0
0
8
8
8
8
8
8
0
0
32
8
8
0
8
8
0
0
0
0
3
0
8
1
1
1
1
16
16
24
8
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
10
8
8
8
8
8
8
36
36
36
36
0
8
0
24
8
8
8
1
8
2
2
2
0
16
0
12
12
12
12
12
12
59
59
16
31
0
0
57
57
1
1
1
16
4
20
16
24
0
16
16
16
24
28
10
8
0
0
4
16
0
0
2
16
16
16
2
2
8
0
16
0
4
0
0
32
32
8
8
16
0
0
24
24
24
16
16
16
8
6
6
6
2
6
0
8
8
8
0
0
0
2
4
4
4
4
8
25
25
8
8
8
0
0
8
16
32
32
32
32
2
2
8
16
16
16
16
16
9
0
1
16
4
4
16
16
16
16
16
0
44
8
8
16
2
28
28
1
32
16
0
16
16
16
1
1
1
43
16
16
32
4
16
16
16
16
16
16
0
4
32
28
28
8
8
8
0
4
16
16
8
2
16
16
16
16
8
8
0
0
0
0
0
0
8
16
16
0
0
0
8
8
8
8
8
5
5
0
0
0
0
0
8
0
0
16
8
8
0
0
1
2
8
8
0
8
0
9
9
9
9
6
4
62
0
0
0
0
0
0
0
0
0
8
0
4
4
8
12
12
16
16
16
8
12
4
4
4
0
1
8
16
16
16
0
16
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
8
8
8
8
16
24
24
24
28
16
8
8
8
16
16
16
0
0
0
0
0
18
18
18
0
0
1
1
4
4
28
0
12
8
8
0
16
1
1
1
28
16
0
8
8
8
8
0
1
0
0
0
16
16
1
1
1
1
1
1
1
1
16
6
2
2
4
8
24
24
0
8
8
8
8
8
0
0
16
16
32
16
48
8
8
8
16
16
24
8
8
8
8
8
8
8
48
48
16
3
2
2
1
2
2
16
16
16
16
16
16
8
0
8
8
1
2
0
8
8
18
2
2
24
32
42
16
16
16
16
32
32
16
40
0
16
0
8
4
6
0
8
16
24
0
0
9
2
2
0
8
1
1
0
0
0
8
16
32
0
0
0
8
8
8
8
8
8
8
0
0
24
16
0
0
48
8
8
8
9
1
16
8
2
4
4
18
0
0
0
8
8
8
1
1
24
1
16
16
0
4
0
0
0
2
26
0
1
1
1
1
16
2
2
2
2
8
0
0
4
8
0
0
0
10
4
1
4
4
4
8
0
8
8
0
8
32
0
1
51
1
8
20
0
0
8
0
2
2
0
8
9
9
0
0
0
11
2
2
0
1
60
1
0
0
11
0
0
8
0
0
0
4
4
0
20
24
0
1
4
4
4
0
3
3
19
20
0
0
8
0
0
0
16
19
34
32
4
2
2
28
28
28
28
0
8
8
8
24
4
0
0
0
16
16
16
16
0
0
8
2
2
8
16
16
16
16
8
8
0
8
8
8
8
8
8
8
8
8
8
8
0
0
8
40
40
8
8
8
8
8
24
2
0
0
0
0
0
1
8
1
0
16
0
0
16
16
0
16
16
16
16
16
16
16
0
9
33
33
33
8
0
0
8
1
8
8
8
8
32
32
8
8
2
0
0
1
24
24
24
0
0
1
0
0
0
0
0
1
2
2
2
4
4
8
8
8
24
5
4
4
4
0
0
0
8
0
0
0
32
0
16
16
40
0
8
8
8
9
8
0
0
0
16
16
8
8
8
32
32
8
0
0
0
1
1
8
8
8
4
4
4
4
0
4
1
1
1
1
0
0
0
0
0
0
0
8
16
16
8
4
0
16
16
16
8
8
8
8
8
8
0
8
4
16
16
16
16
0
0
1
1
1
1
1
1
9
0
1
0
0
0
0
0
0
0
0
18
26
16
16
57
16
16
4
4
4
4
4
4
16
16
16
8
16
16
5
2
0
40
8
8
17
17
17
1
0
0
0
16
0
0
0
0
0
0
0
8
8
0
8
8
1
1
1
1
0
1
1
1
1
2
2
2
2
0
20
4
8
12
8
8
8
0
16
16
1
1
1
0
2
1
1
8
1
12
3
2
40
8
0
16
16
16
16
0
0
0
4
32
32
8
0
0
0
0
0
0
1
1
0
4
0
4
24
24
0
4
4
4
8
8
16
16
8
8
8
8
2
2
0
0
0
4
4
4
16
16
16
16
6
24
16
16
8
8
8
8
24
56
24
0
0
0
0
16
16
16
16
16
16
16
1
1
2
0
0
0
0
8
8
8
0
0
0
12
4
0
24
16
8
8
8
8
8
8
8
8
4
16
16
16
16
25
8
16
16
16
40
40
40
16
20
0
0
26
8
8
8
0
0
0
0
6
6
6
0
0
20
8
8
6
16
8
16
8
8
8
8
8
8
8
16
16
0
0
52
52
0
0
24
8
0
9
0
0
0
1
16
16
16
16
8
16
16
0
20
0
8
16
0
0
8
24
8
8
8
4
0
4
16
16
16
16
16
16
24
24
24
4
8
8
0
8
8
8
16
16
16
8
8
1
8
8
0
12
12
12
8
4
0
0
0
0
0
0
0
16
16
16
16
16
16
0
0
0
0
16
16
16
16
16
8
8
8
8
8
8
10
10
10
8
8
8
32
32
38
0
8
4
0
8
16
16
16
0
8
8
4
12
8
8
2
2
19
2
2
0
0
12
12
12
12
2
2
0
8
2
16
0
16
16
16
16
16
16
16
16
0
0
0
4
0
8
8
8
4
4
4
8
0
0
0
0
8
8
8
4
0
8
18
36
4
32
32
16
0
0
24
24
0
8
8
4
4
0
0
0
16
16
16
16
32
16
4
20
4
4
16
16
8
8
8
8
8
8
1
1
0
0
0
0
0
0
16
16
0
4
1
1
2
2
0
8
8
8
0
0
8
8
8
8
8
8
8
16
0
0
16
0
8
2
8
0
8
8
8
0
0
4
32
9
16
16
32
32
32
32
32
24
0
0
0
8
8
8
2
8
8
8
8
4
4
4
0
0
0
16
16
16
0
8
0
16
0
0
0
0
0
24
24
24
8
8
8
4
24
0
0
0
0
8
1
8
8
8
16
0
16
16
24
8
4
4
8
8
4
4
4
16
16
16
16
16
0
0
0
16
0
32
32
32
32
32
2
8
8
1
1
0
0
8
8
0
0
0
32
48
0
0
0
16
8
8
8
0
0
0
0
20
20
16
16
8
8
0
0
0
0
4
4
4
8
24
24
0
0
8
8
16
8
8
0
0
0
0
0
0
0
0
8
32
8
2
16
16
32
32
16
16
0
8
32
32
4
0
2
8
16
0
0
0
0
1
1
1
1
0
0
0
4
0
0
8
8
2
2
2
2
8
0
16
16
16
16
16
0
1
8
16
8
8
0
0
0
0
0
0
0
0
0
16
8
0
0
0
0
8
17
0
4
32
0
0
0
0
2
8
8
8
8
8
8
8
8
0
0
8
0
8
8
8
0
4
8
8
8
8
16
16
16
16
8
0
0
0
1
1
1
1
16
16
0
8
8
1
8
8
8
8
0
0
8
8
1
8
20
20
20
20
8
8
8
8
0
1
1
1
0
8
8
0
8
24
24
24
24
24
24
0
42
8
0
4
32
32
32
32
32
32
32
32
0
0
8
8
17
8
0
0
0
0
0
0
0
0
9
16
16
16
16
16
16
16
2
0
0
4
4
4
4
8
0
16
16
0
0
4
4
6
6
6
6
6
1
8
4
0
2
16
0
16
16
16
1
8
2
16
16
16
16
2
44
32
32
16
32
32
32
32
32
32
2
32
32
8
8
8
8
8
8
0
8
16
16
8
16
8
8
8
8
1
18
0
0
4
4
4
0
0
0
0
0
2
2
2
4
4
8
0
8
8
8
1
16
0
16
16
4
4
8
4
4
1
0
0
8
8
8
8
8
8
4
16
0
24
16
1
1
1
8
8
8
8
8
1
8
8
8
8
8
8
8
8
8
8
8
8
1
1
0
16
0
0
0
0
0
8
8
0
0
1
0
0
0
8
24
24
8
16
8
8
0
0
16
16
24
27
18
1
4
4
4
4
8
0
24
8
8
8
16
8
0
12
1
1
4
1
4
4
4
4
4
4
2
0
0
8
0
0
4
16
18
8
8
8
8
8
8
8
0
0
0
1
8
24
8
8
8
8
0
4
18
18
18
0
0
16
16
12
0
0
1
4
4
4
8
8
20
20
4
4
4
4
0
4
4
4
10
10
8
8
8
8
8
4
4
4
2
4
4
0
0
16
5
24
4
16
0
0
16
16
16
16
16
16
4
4
4
8
8
8
8
24
4
8
0
16
8
8
8
8
0
0
16
16
0
0
0
16
8
60
8
8
8
8
8
8
0
0
0
8
8
8
8
8
8
8
8
0
0
17
1
2
4
44
8
8
16
16
16
1
1
1
1
16
16
16
16
0
0
0
16
32
32
0
8
16
16
0
4
20
8
16
16
8
16
0
8
2
2
2
16
16
16
16
8
24
0
16
16
8
16
16
16
8
16
16
16
0
8
0
8
8
8
16
16
1
1
1
0
0
16
8
0
4
8
8
8
8
9
8
8
8
16
0
0
16
16
1
32
32
8
8
1
1
0
8
0
4
4
0
0
0
8
9
9
8
8
1
8
17
17
17
17
8
8
8
8
8
8
8
0
8
16
16
16
0
0
0
0
8
8
16
16
8
0
6
0
0
6
6
6
6
8
8
8
16
8
0
0
8
0
8
8
8
0
16
0
5
8
0
0
0
16
16
16
16
16
16
16
0
0
18
18
18
8
0
0
0
6
6
16
0
0
6
0
28
20
25
25
0
0
1
40
40
0
0
0
0
8
8
8
1
1
0
8
8
1
1
1
17
0
16
16
16
0
0
0
2
0
0
16
8
8
8
8
8
8
4
2
0
8
32
32
8
0
0
0
0
2
8
0
16
1
4
8
8
0
4
8
0
0
8
8
20
20
4
4
4
0
0
16
0
0
0
8
0
0
0
16
16
16
16
16
20
4
4
4
0
8
3
36
36
8
8
8
0
0
0
0
0
1
8
8
8
8
4
4
17
1
1
2
0
8
1
16
0
16
16
16
8
8
8
8
8
8
8
8
0
8
4
16
0
0
16
16
4
0
16
0
8
0
0
5
5
5
8
8
0
0
24
24
8
8
8
8
8
8
16
2
8
16
20
16
57
57
16
4
16
0
0
4
2
2
2
8
8
8
24
8
8
8
8
0
0
32
32
0
0
0
12
28
28
12
12
12
12
1
8
8
8
0
1
1
48
32
48
8
8
0
0
0
16
16
1
8
16
16
6
6
0
16
16
16
16
16
16
16
16
0
0
8
12
5
1
8
16
16
16
16
16
17
0
4
8
0
0
0
2
12
1
3
0
0
8
8
0
0
0
4
4
8
4
8
0
8
4
20
20
20
0
2
2
0
0
0
8
0
12
4
2
2
2
2
0
4
4
16
16
24
8
8
8
8
8
0
8
8
4
0
0
9
0
1
1
32
32
32
32
32
32
8
0
0
16
16
16
16
16
4
8
8
8
8
4
4
8
1
1
1
8
9
9
9
8
8
8
16
0
16
16
16
16
0
4
16
0
0
0
0
8
16
0
0
8
8
0
1
1
16
0
1
1
8
16
4
4
8
4
0
4
4
0
0
3
2
2
12
12
0
0
18
18
4
4
4
4
4
8
1
5
1
1
1
4
16
8
16
16
8
32
25
0
0
8
8
26
26
26
8
2
0
0
0
8
8
8
0
16
16
16
1
1
1
16
28
28
17
17
17
10
8
8
8
8
8
1
8
2
12
0
0
8
8
8
8
0
8
10
26
8
8
8
4
4
4
4
8
16
16
0
0
8
8
0
8
8
0
8
8
8
8
8
13
13
8
1
1
1
33
0
0
0
4
4
4
4
0
16
0
0
4
4
3
1
8
1
9
9
9
4
4
4
16
0
1
1
0
8
8
16
16
16
20
20
16
16
16
8
8
0
0
0
8
8
8
8
8
0
0
8
8
24
0
0
0
0
0
0
0
1
2
24
24
24
24
16
16
16
16
24
0
24
16
16
16
16
8
12
0
0
16
16
16
8
8
16
16
0
9
9
4
32
32
32
8
4
4
4
4
4
0
0
8
0
0
16
16
16
8
0
0
0
8
4
4
16
4
4
16
16
0
0
0
0
0
0
32
32
32
32
32
16
48
1
0
1
16
24
2
8
8
8
8
8
8
8
8
8
0
1
8
0
0
0
0
8
8
8
8
0
25
25
4
4
4
4
0
0
8
8
8
1
24
16
16
2
4
0
0
34
16
16
16
32
16
16
0
1
41
1
8
0
0
16
8
8
8
32
16
8
8
8
8
8
8
1
1
1
0
0
16
16
16
2
0
8
8
8
2
9
9
9
9
1
1
32
32
8
8
8
8
8
8
0
16
16
8
16
16
0
0
0
0
0
0
0
16
16
32
4
0
1
1
9
9
9
9
0
4
16
16
16
16
24
0
16
4
1
1
1
16
8
16
0
0
0
8
8
16
0
0
0
0
0
0
60
8
8
0
8
1
1
24
8
8
8
4
20
4
16
4
0
16
16
16
16
16
16
32
32
32
32
4
0
0
8
8
8
16
16
0
8
32
32
24
8
0
0
0
8
0
8
1
1
1
50
0
0
8
0
16
8
8
8
8
8
0
16
16
16
24
8
8
8
4
2
16
0
0
0
0
8
8
8
8
8
8
8
0
0
0
8
8
0
16
8
8
16
16
16
0
8
8
8
8
0
0
9
1
8
8
8
0
8
24
24
20
8
0
0
0
0
0
0
8
8
8
8
8
8
8
8
16
8
16
8
0
16
16
16
8
12
12
0
2
2
8
8
8
8
8
8
8
8
24
16
16
24
16
16
8
0
0
8
8
8
0
12
12
12
16
16
20
2
2
0
8
0
0
0
0
8
8
5
8
8
4
9
9
8
8
8
16
1
0
0
4
4
4
4
8
8
8
8
8
8
25
25
25
0
16
0
0
0
0
16
16
1
1
1
8
6
6
8
8
8
0
0
2
2
2
16
8
8
8
11
1
9
1
0
4
4
0
8
16
0
0
0
4
4
4
4
16
16
0
0
8
12
8
8
1
16
10
10
0
10
2
0
0
56
32
16
5
1
1
1
12
12
12
8
0
12
16
0
0
8
8
16
8
8
16
16
8
8
8
32
32
0
8
11
1
8
8
8
8
0
0
8
24
2
0
0
0
8
34
34
16
16
16
16
4
0
4
19
40
32
8
16
0
52
52
0
16
6
6
4
16
0
0
0
0
2
0
0
0
0
0
0
0
8
2
10
16
16
0
2
4
4
0
0
4
16
16
16
16
16
16
16
8
8
4
4
8
8
8
8
8
16
16
16
1
0
0
0
0
4
0
1
1
1
32
8
0
16
8
8
8
1
10
8
8
8
8
8
8
0
8
0
0
8
8
8
16
8
8
0
1
1
0
0
0
16
1
1
16
0
0
4
8
8
24
8
8
4
4
0
0
1
1
1
1
8
16
1
9
0
0
0
0
18
8
0
1
0
0
0
0
0
0
0
43
1
1
8
8
4
16
8
21
16
16
16
16
3
37
0
8
16
16
16
8
8
8
8
8
24
24
24
24
32
32
32
0
0
0
4
4
17
17
17
17
8
8
8
8
8
8
8
2
2
16
0
1
1
8
1
1
2
16
4
4
4
8
8
8
40
40
40
8
0
0
8
16
16
16
16
16
0
2
2
2
8
8
16
16
8
8
8
8
8
8
8
0
0
8
8
8
8
8
1
1
0
0
8
0
16
0
0
8
0
20
28
20
8
8
0
0
0
17
8
8
1
8
0
0
0
0
8
8
0
2
4
4
4
4
4
4
0
4
0
0
0
8
8
0
16
16
16
16
0
16
16
48
32
32
0
0
8
8
8
8
8
8
8
2
2
2
2
2
8
2
16
16
8
8
2
8
16
4
0
0
0
0
0
8
8
16
16
0
16
16
16
14
8
0
0
1
4
29
0
0
8
2
2
2
20
8
4
2
2
2
0
8
24
2
2
2
2
0
0
0
0
0
4
8
16
16
0
4
1
10
0
8
8
8
9
24
24
24
24
24
24
24
24
24
50
32
32
8
8
8
8
1
4
8
8
0
0
16
16
8
8
8
16
16
0
0
0
16
2
2
2
2
0
0
0
0
4
8
14
20
0
16
0
0
0
0
0
0
0
0
8
8
0
1
16
0
0
0
4
4
0
0
2
8
8
8
8
16
16
12
12
12
0
2
8
8
0
8
8
8
8
1
0
0
1
1
0
16
8
8
0
2
2
6
8
0
1
17
0
0
16
4
0
16
16
8
8
0
0
0
8
8
8
8
8
8
8
28
8
12
12
16
0
8
4
4
8
8
0
16
4
0
0
8
24
8
8
0
0
8
8
0
0
4
8
1
1
1
8
8
8
8
2
2
2
2
0
1
0
0
2
2
2
2
0
16
16
0
40
24
0
0
0
0
1
1
4
4
4
8
8
18
8
24
8
0
0
32
32
0
0
8
8
20
0
0
0
0
0
16
16
0
0
0
0
8
8
1
1
1
0
0
0
2
8
2
24
8
2
2
2
8
8
8
1
1
16
16
1
0
0
0
0
5
5
5
16
16
16
16
16
16
0
0
0
0
4
4
4
16
16
16
8
0
2
1
1
1
16
0
2
16
0
0
0
0
0
0
0
0
0
2
8
4
4
2
0
0
56
0
16
4
8
0
0
16
0
0
0
16
16
16
16
12
1
1
0
8
16
16
16
16
16
16
8
0
0
0
0
0
16
0
1
1
1
8
8
8
13
13
13
13
13
13
8
8
18
2
8
8
25
0
8
8
8
8
6
2
18
4
13
13
16
16
16
4
8
0
8
8
8
8
8
1
1
1
16
8
8
8
4
4
0
0
0
8
8
8
24
24
0
0
0
0
0
1
1
4
4
4
4
4
4
4
4
0
0
0
0
0
8
8
8
8
8
8
8
8
4
4
40
8
40
1
16
16
4
1
1
8
8
8
8
20
20
20
0
0
16
16
0
8
8
8
2
26
4
4
0
0
16
16
2
2
33
33
33
16
16
16
48
48
0
0
8
8
16
16
0
4
4
16
16
16
0
8
8
8
0
8
8
16
0
0
16
16
16
16
2
2
2
4
4
0
0
0
0
0
32
32
16
16
16
0
8
8
8
8
8
8
16
16
16
16
16
16
0
0
8
8
2
2
32
32
32
8
8
8
16
8
8
8
0
0
0
8
16
16
16
8
0
0
0
0
0
0
8
8
0
8
36
2
2
0
9
9
1
1
0
0
0
0
24
24
24
8
8
8
8
19
16
14
14
8
8
8
0
0
0
16
16
16
16
0
0
4
1
27
1
8
8
2
2
16
16
16
0
8
8
16
17
0
8
24
0
0
2
2
8
0
25
1
1
8
8
8
8
4
4
16
4
4
4
4
20
0
8
4
4
4
0
16
16
16
16
16
8
16
8
20
20
16
8
4
59
8
8
8
0
1
0
8
9
9
9
22
4
0
0
4
1
16
8
24
24
24
8
0
0
0
1
8
0
0
4
8
4
4
16
49
16
16
16
16
16
0
0
16
16
1
32
0
0
8
8
8
0
0
4
4
20
0
0
0
8
16
8
16
16
16
16
16
0
48
41
41
41
0
1
2
8
0
8
24
8
8
16
16
16
0
0
0
4
24
16
28
4
16
16
16
8
8
24
8
40
8
8
8
8
8
8
25
0
0
8
32
16
16
16
4
4
5
5
5
5
44
2
6
6
8
1
1
1
1
16
16
16
8
16
16
16
16
0
24
0
0
0
0
0
0
3
2
2
0
4
20
0
0
0
2
2
8
8
2
2
4
16
16
8
8
16
8
8
8
1
16
1
20
20
8
8
8
28
12
0
0
0
0
8
0
8
8
1
1
0
0
8
17
0
0
0
0
0
52
52
8
0
0
0
0
0
0
0
0
8
0
2
2
2
2
0
9
4
12
12
0
0
0
0
0
0
8
2
2
0
1
4
4
8
12
32
8
16
16
1
8
0
0
0
8
8
8
8
0
8
8
8
8
8
57
57
16
16
12
0
4
4
2
2
2
2
0
0
8
0
8
39
39
8
8
8
8
16
0
0
16
1
1
8
2
16
32
16
16
16
16
24
16
8
8
16
16
16
0
16
0
0
0
0
8
8
0
0
0
0
0
0
8
8
16
16
24
16
16
8
0
16
2
16
16
0
8
20
8
4
8
8
2
2
0
8
2
24
24
24
6
0
16
16
8
1
1
0
0
8
0
24
24
24
0
0
8
24
17
17
17
17
17
17
16
4
20
48
48
1
8
8
16
16
16
16
59
0
0
8
8
8
4
20
1
20
20
16
16
8
32
5
5
0
0
0
0
4
4
16
1
1
8
8
8
8
8
16
56
56
24
24
56
0
8
8
8
8
8
58
2
0
16
8
9
8
3
1
1
8
8
0
0
0
0
24
0
0
0
0
32
32
32
24
24
0
0
0
8
8
8
8
8
8
32
0
2
2
2
2
2
2
0
8
8
8
8
17
1
8
2
0
8
4
0
1
4
4
0
8
8
34
0
0
8
8
8
4
4
0
0
0
0
16
16
0
0
16
16
16
0
16
16
16
8
16
0
16
0
8
8
8
4
4
0
8
8
8
8
8
8
8
8
8
8
0
0
0
16
24
4
8
24
4
1
1
1
0
2
8
8
8
8
0
4
16
0
0
0
9
8
8
8
8
8
8
4
16
4
8
8
0
8
4
4
8
8
8
8
0
2
24
8
1
8
8
8
8
0
0
0
0
0
16
16
8
8
8
0
0
0
12
0
8
0
16
24
16
16
16
8
0
16
16
0
16
2
2
16
16
16
24
16
16
16
16
16
16
16
16
1
1
4
8
10
10
8
2
2
4
16
2
2
2
0
9
8
8
16
32
35
32
32
32
32
32
8
8
16
0
8
4
20
4
8
16
16
0
4
16
18
5
8
8
8
8
0
0
4
0
1
31
8
16
0
0
0
8
17
17
17
16
8
8
8
1
8
4
18
1
1
1
1
1
16
16
8
8
0
1
41
41
41
41
0
8
8
0
8
8
8
0
4
0
0
0
0
0
0
0
16
8
8
0
4
4
16
10
12
0
0
0
0
4
4
16
16
0
8
8
24
0
17
16
16
8
8
0
16
0
0
8
8
0
8
8
0
0
0
4
8
8
25
4
8
0
0
0
0
8
0
0
16
16
8
5
5
8
24
8
0
16
8
8
0
16
0
0
0
0
0
0
16
8
24
16
16
16
0
8
1
16
32
1
8
8
8
4
0
0
16
4
4
0
0
32
26
16
0
0
0
0
0
0
0
4
4
4
4
4
4
0
0
1
1
8
8
8
4
4
16
4
4
2
8
0
0
16
16
16
4
0
0
8
16
16
8
8
16
16
8
8
8
8
8
0
0
8
8
8
8
8
8
4
8
8
8
16
16
16
16
16
16
6
6
6
6
2
2
2
2
2
2
26
8
1
16
16
16
16
20
24
8
8
8
10
8
24
8
4
0
0
2
24
16
8
8
16
16
16
0
0
0
8
8
16
16
16
1
8
8
8
0
32
2
0
4
12
8
8
8
0
32
32
32
24
0
0
0
0
0
8
8
8
8
28
30
8
8
8
0
2
0
0
0
16
16
8
12
0
0
16
3
19
8
8
8
0
0
0
4
16
0
0
0
8
8
8
8
8
0
0
0
14
14
14
16
4
6
4
4
16
16
16
16
16
16
16
28
0
8
0
0
16
32
0
0
0
0
8
36
4
8
8
8
8
1
1
1
8
8
8
8
8
0
0
0
16
16
16
0
8
0
0
8
1
1
0
0
8
8
20
2
2
4
4
16
16
16
16
16
8
8
16
16
16
0
0
0
0
52
1
16
16
0
8
8
0
8
12
16
0
32
32
32
8
16
16
8
8
8
8
24
8
10
2
0
8
8
16
20
20
16
16
16
0
0
0
8
8
8
0
0
0
0
16
16
42
16
16
16
0
8
8
8
12
8
0
0
0
8
8
2
0
0
0
4
0
0
0
0
0
0
24
8
42
0
1
1
1
1
8
24
8
1
8
8
16
16
0
8
0
0
8
0
16
16
1
9
0
0
16
8
8
2
2
2
8
8
5
8
32
32
32
24
0
4
32
32
4
4
4
4
0
8
2
2
0
0
0
4
4
4
4
16
0
0
8
8
24
8
8
4
4
4
8
8
0
0
0
0
0
8
1
1
8
12
8
29
0
16
16
8
8
16
16
0
26
0
0
2
4
3
3
3
8
8
8
8
16
0
0
28
8
16
2
2
0
8
0
18
2
0
24
8
2
0
0
32
8
8
8
4
4
4
4
8
8
0
0
32
8
16
8
8
16
16
16
0
0
0
0
0
4
4
1
8
8
4
4
0
12
12
3
8
16
16
16
16
12
28
12
8
8
8
16
4
4
4
4
1
8
8
0
4
0
0
0
8
8
8
8
0
17
2
8
25
0
0
1
1
1
4
4
4
0
0
0
16
16
12
16
0
0
0
0
4
16
12
0
0
0
0
0
0
2
2
8
8
16
16
16
16
16
16
0
4
0
16
8
8
8
8
8
8
8
0
0
4
24
8
8
8
57
57
57
57
57
1
2
2
43
43
1
4
8
0
0
1
1
1
1
0
8
16
8
8
8
8
8
16
2
10
0
16
16
16
17
0
2
2
2
2
16
0
0
40
40
0
0
20
20
0
0
0
16
16
3
0
8
8
2
2
8
0
16
16
2
0
40
40
0
0
8
8
16
16
16
16
16
16
16
16
16
0
0
8
16
16
0
0
48
0
0
0
16
16
0
0
0
0
18
50
8
8
8
8
0
0
0
22
22
22
22
0
0
0
32
32
8
8
8
8
8
1
0
8
8
8
8
8
17
1
0
8
8
8
0
16
2
0
0
41
1
8
9
1
2
2
1
8
8
0
8
16
16
0
0
0
1
16
16
0
12
0
0
24
24
16
16
16
8
0
0
0
21
21
0
8
8
1
0
16
16
16
0
0
0
0
8
8
8
8
8
8
8
2
2
2
2
2
2
8
8
8
8
24
0
2
2
57
57
0
8
16
16
0
8
8
8
8
8
8
8
0
0
0
0
24
8
8
8
8
1
16
16
8
16
0
0
8
8
0
6
6
6
8
8
16
16
16
16
12
12
12
8
0
0
0
8
0
0
18
8
0
8
8
8
8
4
4
4
4
4
4
4
8
8
8
8
16
20
0
16
16
8
4
16
20
20
20
20
0
32
32
16
16
16
16
8
2
6
8
8
8
8
8
0
8
4
4
4
0
0
0
1
1
1
1
24
0
0
0
0
0
33
33
16
16
8
12
4
1
0
4
4
4
4
4
8
16
24
0
8
20
0
0
32
32
8
0
8
8
8
8
2
2
8
1
16
16
16
16
2
2
0
1
1
1
4
4
1
17
17
17
16
0
16
40
40
16
8
1
8
8
0
0
4
4
8
8
8
16
42
16
0
0
1
1
1
8
8
0
1
1
1
1
1
16
16
8
8
0
8
8
8
0
24
0
0
8
8
0
0
1
16
16
16
8
8
8
8
8
8
8
8
0
0
4
20
0
0
20
16
16
0
16
24
0
0
8
8
8
8
8
8
8
0
0
0
1
2
2
2
2
32
32
32
5
8
1
8
0
48
16
8
8
0
0
40
8
0
4
16
26
8
1
1
8
16
16
32
8
0
8
8
4
0
0
16
4
4
4
8
8
8
48
48
48
48
8
8
8
8
0
1
9
2
2
2
8
0
0
16
16
0
4
4
8
32
4
3
0
0
8
8
16
12
12
12
32
32
48
32
56
56
0
16
2
8
8
4
4
0
1
1
0
8
8
8
5
12
12
4
8
12
12
12
12
12
16
16
16
40
34
0
0
4
4
16
4
4
4
4
4
4
4
0
8
4
0
8
8
0
0
4
4
16
16
24
9
8
1
1
0
8
8
0
16
8
13
13
13
0
16
16
16
0
0
0
0
0
0
0
0
8
8
8
8
10
10
8
8
4
4
0
8
8
8
2
0
0
32
32
32
32
4
4
8
8
8
0
16
16
8
16
16
0
2
2
2
2
2
0
16
24
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
0
8
8
2
1
1
8
8
8
8
8
8
8
8
8
8
8
3
3
0
1
1
1
1
0
8
16
0
4
0
8
8
8
0
0
30
30
30
0
8
0
0
0
0
8
24
8
8
8
8
8
8
2
0
8
8
6
20
20
32
32
32
32
8
8
4
14
0
8
24
24
8
8
28
28
16
8
16
16
16
16
28
8
1
1
1
1
8
8
8
12
12
12
8
8
0
2
8
16
4
8
8
8
8
6
2
16
10
2
27
16
16
4
2
8
0
8
0
0
0
0
8
8
8
8
8
8
24
4
0
0
8
0
0
0
0
0
0
24
40
40
0
4
4
1
17
1
16
4
20
16
16
16
16
16
8
8
24
24
16
2
2
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
16
16
16
16
16
0
20
12
12
0
1
8
9
8
2
3
0
8
14
8
8
16
16
8
0
8
8
8
0
32
32
32
8
1
8
8
16
16
4
8
0
0
8
8
8
16
0
24
0
0
4
4
8
8
8
32
32
0
0
0
0
0
24
1
1
1
1
8
0
8
0
4
16
8
16
16
16
16
16
16
16
16
16
0
12
0
8
8
8
32
1
1
1
16
16
16
0
16
16
0
20
20
20
20
24
24
24
8
8
24
8
4
0
16
16
24
16
8
8
0
8
4
3
3
4
4
4
8
8
8
8
8
8
2
16
16
16
16
16
1
1
2
8
8
0
2
2
2
2
18
16
16
16
16
16
16
16
16
16
8
8
16
1
0
16
16
16
8
8
8
8
0
0
1
8
8
16
8
8
8
8
0
16
22
22
22
8
8
8
0
0
0
0
0
8
16
16
8
8
8
0
0
0
8
8
8
8
8
2
8
8
16
16
16
16
2
8
8
0
4
4
4
0
0
0
0
16
16
8
32
8
16
8
8
20
20
20
32
24
0
32
0
0
4
4
0
9
0
0
0
0
0
32
8
8
8
0
0
0
0
0
8
0
0
16
4
4
2
0
20
20
4
4
4
8
1
8
8
0
4
8
8
8
8
0
0
0
0
8
8
8
8
8
0
8
24
8
16
16
16
8
2
4
6
8
8
8
8
4
0
0
0
8
0
0
1
1
16
4
16
8
8
8
8
8
8
8
24
24
24
24
24
2
4
8
8
16
16
16
18
0
4
4
4
4
0
0
2
2
8
2
8
16
16
0
8
8
8
8
24
0
16
16
16
8
8
0
0
24
24
24
16
16
16
16
16
8
16
8
8
8
1
0
17
17
8
8
10
8
8
8
17
1
12
8
8
8
0
0
0
8
0
0
0
32
16
16
16
16
16
20
1
8
0
0
8
0
16
24
16
16
24
8
32
24
8
8
8
0
0
0
32
0
0
0
0
0
16
16
16
16
0
4
16
16
0
0
0
16
16
16
4
0
17
25
24
0
11
8
8
8
16
16
16
5
5
0
0
0
8
8
8
8
16
8
8
8
8
8
16
16
16
16
16
16
0
0
0
8
8
0
0
0
0
0
8
16
25
8
8
8
0
1
1
0
8
0
16
3
16
0
8
0
0
0
1
1
2
0
0
1
1
1
2
10
4
1
8
8
16
16
8
8
1
16
8
0
2
2
2
2
2
2
2
2
2
9
0
2
2
8
1
1
1
8
16
16
16
0
0
0
0
21
2
0
32
32
0
16
16
8
10
8
8
1
1
0
1
1
1
8
32
16
16
24
16
16
8
8
8
0
0
0
8
8
8
0
0
0
8
8
42
4
4
4
0
32
32
1
8
0
0
0
8
35
35
8
32
16
16
16
16
0
8
1
0
8
0
16
2
2
8
8
16
8
8
0
1
1
8
8
1
1
1
0
0
16
0
16
0
1
1
1
8
0
0
16
48
0
0
4
4
4
4
4
4
0
0
8
8
16
0
0
0
8
1
1
0
0
4
8
2
2
8
0
0
0
16
16
16
0
0
0
8
0
0
16
16
16
8
8
16
16
16
7
7
32
32
32
32
4
32
24
0
24
24
24
16
16
16
16
16
16
0
0
0
8
9
9
0
0
1
1
9
1
1
4
4
8
16
16
16
1
0
8
32
8
8
3
3
3
3
3
3
3
3
8
2
2
0
8
16
16
16
16
20
8
8
8
8
16
16
0
0
0
1
1
4
4
4
4
1
0
8
8
24
0
0
0
8
8
8
8
24
16
32
32
0
0
2
2
2
0
0
16
16
0
0
0
17
16
8
8
16
16
16
16
8
0
4
21
4
4
4
8
22
6
6
8
0
0
8
8
8
8
0
1
1
24
24
24
0
0
0
8
42
8
1
0
16
16
0
2
0
2
2
2
1
16
16
16
0
0
0
0
4
14
14
14
0
16
16
8
33
4
16
12
0
8
8
0
16
0
6
2
2
2
2
2
2
2
2
16
8
8
18
18
8
8
0
24
8
8
0
1
8
32
40
40
16
4
4
0
0
0
8
8
8
8
16
4
6
4
2
18
1
1
1
0
16
16
16
32
32
8
8
8
8
8
0
0
0
0
1
1
2
2
8
8
8
0
0
16
16
16
16
16
16
16
16
16
16
16
8
4
4
2
3
0
0
8
8
8
0
0
16
0
12
12
24
8
8
8
8
8
8
8
8
0
8
0
0
0
0
0
4
4
8
24
8
8
0
24
16
0
40
40
40
40
0
0
0
16
0
0
8
33
1
16
24
8
9
16
16
16
16
6
6
6
16
1
1
0
0
12
8
24
0
6
6
6
6
16
0
9
2
2
16
0
38
38
8
16
16
16
34
34
16
16
16
8
8
28
2
4
16
8
0
0
0
0
0
0
0
0
0
8
0
16
16
16
0
0
0
0
10
10
16
16
16
16
16
0
0
0
16
16
18
0
8
16
16
16
16
16
2
8
36
36
16
16
16
16
0
8
8
8
0
4
8
0
0
16
2
0
0
16
1
16
2
2
2
0
0
0
2
8
4
0
0
16
16
16
16
19
24
8
8
0
2
2
0
0
0
0
0
25
8
48
0
0
8
8
0
20
20
0
2
3
0
0
1
1
1
8
8
8
8
0
4
1
42
0
0
18
18
16
32
32
0
0
16
16
16
49
8
8
8
8
8
0
9
9
1
8
16
16
16
1
1
16
0
16
1
2
18
10
2
2
2
39
39
2
2
16
16
8
8
0
16
16
0
0
0
16
16
16
16
16
8
8
8
8
16
16
16
16
16
16
0
0
8
8
8
8
8
4
6
6
8
8
4
8
8
2
32
32
32
0
0
16
8
8
16
18
12
8
8
8
24
24
24
2
0
8
8
8
8
8
8
2
2
2
6
16
20
1
1
1
16
16
8
17
16
16
8
0
4
0
0
24
24
24
16
0
16
16
16
16
16
0
0
8
8
5
0
0
0
0
0
0
0
28
28
0
0
0
0
0
4
8
4
4
4
16
16
0
4
8
8
8
16
1
1
1
7
7
16
8
8
8
8
0
8
8
8
0
16
16
20
20
20
16
20
0
0
12
16
12
4
4
16
16
16
16
16
17
17
17
17
16
16
0
1
1
1
1
1
1
14
14
0
8
8
8
0
0
0
16
16
0
0
0
0
1
1
1
9
9
8
8
8
8
8
16
24
16
16
0
0
0
16
24
8
0
16
0
8
8
8
8
57
0
0
0
24
16
16
16
16
2
8
24
8
8
16
16
16
16
16
16
16
16
32
8
8
0
16
24
16
4
4
0
0
0
5
5
5
8
8
8
0
16
16
16
16
16
16
16
8
8
0
0
8
8
16
1
33
9
16
0
5
4
4
0
8
16
16
16
16
16
16
16
0
4
4
4
4
4
1
1
1
1
2
0
8
12
1
1
8
9
9
9
0
0
0
8
0
0
8
4
8
24
24
2
17
17
17
0
0
0
24
8
8
8
0
0
8
0
4
4
16
16
16
0
0
0
8
8
8
0
8
8
0
11
11
26
0
0
8
8
8
32
32
8
40
8
2
0
16
1
1
1
0
8
8
16
0
0
0
0
16
16
0
0
17
16
16
16
12
4
4
4
4
0
8
8
8
8
0
4
4
1
1
16
16
16
0
8
24
24
24
0
4
4
4
4
2
16
16
16
8
8
8
1
0
8
4
4
0
0
0
8
8
8
0
0
4
2
38
2
2
2
1
1
34
20
20
20
0
0
0
1
1
16
16
16
16
0
8
8
16
8
34
34
8
4
20
16
16
16
16
24
8
0
0
0
8
8
12
8
8
50
50
16
4
4
0
16
16
16
8
32
16
0
8
8
8
8
0
0
0
0
0
0
0
0
20
0
32
32
16
18
16
8
32
8
8
8
8
8
2
2
2
2
0
0
8
0
0
0
0
24
0
0
8
8
8
16
16
16
16
0
5
32
16
40
16
16
16
16
16
16
16
4
4
8
8
24
33
0
0
56
56
0
32
32
2
0
16
16
0
33
2
32
0
0
0
0
0
4
4
32
32
32
0
0
0
4
4
16
16
16
16
1
8
8
0
0
6
6
6
6
6
6
8
8
8
8
0
8
16
21
0
0
6
16
0
0
0
0
0
0
0
8
0
0
0
16
8
16
16
24
8
8
1
0
4
4
0
8
0
0
0
0
0
0
0
32
32
1
17
16
0
16
16
16
16
32
4
0
0
0
16
16
16
8
8
0
48
48
48
48
16
4
8
8
16
0
8
8
8
8
4
2
8
11
8
8
22
8
6
6
6
0
0
0
8
16
0
16
16
0
0
8
16
0
0
0
0
8
8
8
8
8
8
8
0
0
4
0
0
0
8
0
8
8
8
0
0
32
0
0
4
4
16
1
1
8
8
2
16
16
16
16
0
2
0
29
29
29
29
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
8
8
8
0
0
8
9
8
8
8
8
8
8
8
8
1
0
8
0
4
40
33
41
8
8
17
16
24
24
24
16
16
2
2
8
8
8
4
18
2
2
2
32
37
20
16
8
0
0
17
1
0
0
0
0
10
8
4
1
0
8
56
48
0
2
19
8
8
8
1
19
16
16
16
25
8
0
57
57
8
8
8
4
0
0
9
9
0
0
2
8
8
8
8
16
16
16
8
8
16
0
0
0
0
0
0
0
8
8
8
8
16
16
16
8
8
0
0
19
8
8
8
0
0
8
24
24
24
24
17
16
16
33
33
0
8
8
8
0
8
1
24
24
0
2
2
2
16
16
16
16
8
8
8
0
4
4
8
8
8
0
24
16
16
16
16
0
16
16
2
2
0
0
0
0
16
16
8
24
2
8
8
8
8
0
16
16
0
16
16
8
8
4
4
4
32
32
32
32
34
0
0
8
0
16
16
16
0
0
0
0
8
6
16
16
8
8
0
0
8
28
16
1
8
8
8
8
8
8
16
16
0
16
16
1
4
4
4
4
8
8
8
8
8
4
14
8
8
1
8
8
8
8
24
16
8
8
8
8
8
8
0
0
32
32
32
34
34
8
8
2
2
2
8
8
0
8
8
24
0
0
9
9
17
32
32
32
16
17
17
17
17
17
0
0
8
8
8
8
8
8
0
0
0
21
1
1
1
1
1
1
0
1
16
16
4
4
4
4
0
0
0
2
24
8
0
8
0
0
0
8
13
4
1
8
8
16
16
0
8
8
0
0
0
2
0
0
8
8
8
0
0
0
1
1
1
1
1
2
2
2
16
4
4
4
4
4
4
4
4
8
8
0
12
12
12
12
16
16
8
8
8
1
4
16
16
5
0
0
0
3
0
0
2
2
2
0
8
0
2
8
8
32
4
24
0
0
8
0
0
4
4
8
1
1
1
1
1
16
16
16
1
16
16
16
16
16
16
16
0
16
0
0
8
16
16
16
0
8
8
1
9
16
16
4
4
4
4
1
1
4
0
8
2
4
0
6
2
2
0
0
0
0
0
0
18
2
2
2
2
32
32
4
0
1
1
1
1
8
16
16
0
4
16
16
32
32
32
32
8
8
8
16
16
0
0
0
16
16
16
8
8
8
0
0
8
8
8
8
2
16
8
6
6
4
4
4
0
8
8
8
8
4
4
4
4
0
0
0
16
0
0
8
8
16
16
1
8
0
16
0
0
0
0
0
0
16
32
32
16
2
2
2
4
24
8
48
20
4
4
4
4
4
2
2
1
1
1
0
0
0
0
0
0
0
0
4
4
4
4
4
4
4
4
4
4
4
16
24
0
11
0
24
24
24
24
4
0
0
0
0
16
16
16
16
16
0
16
3
0
0
16
8
17
17
17
17
17
17
17
8
0
2
1
0
0
1
8
8
1
1
1
1
1
0
16
16
16
16
1
1
1
2
2
16
16
17
17
1
16
0
8
0
0
2
2
0
0
0
16
8
24
24
24
8
16
16
26
26
16
16
8
8
8
8
24
24
8
0
16
16
16
8
8
9
4
0
4
8
39
36
8
8
16
16
16
8
16
16
16
2
2
0
0
0
0
1
21
8
8
8
8
8
1
1
1
1
1
1
1
1
8
8
4
0
0
0
0
8
28
16
8
0
1
16
1
8
8
16
0
0
16
8
0
4
8
8
8
8
12
12
12
12
12
16
8
4
4
4
4
4
4
4
4
4
4
4
4
2
2
8
8
4
8
8
8
16
16
4
0
0
0
0
0
0
0
0
8
9
9
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
4
4
2
4
4
4
4
4
4
4
4
4
4
0
0
0
0
0
0
0
10
2
2
0
0
0
0
0
0
24
8
8
8
8
8
2
8
1
1
1
8
8
0
0
1
1
1
9
32
48
16
0
8
2
2
8
0
0
0
0
0
0
4
16
16
16
0
56
16
16
16
16
16
0
4
4
4
4
0
8
8
8
4
0
0
0
0
17
17
17
1
1
2
2
3
2
8
0
0
0
8
19
1
8
0
2
10
1
1
8
8
8
8
8
8
8
8
8
8
0
8
8
0
8
8
8
32
32
32
32
32
2
18
24
24
4
9
8
8
0
0
0
0
8
16
4
8
8
8
2
2
2
0
24
1
16
0
0
0
0
16
0
16
8
0
0
0
0
12
8
8
8
0
16
8
8
3
3
32
40
8
8
40
8
30
0
2
2
4
0
1
16
8
24
0
4
0
0
0
0
8
0
0
8
16
16
16
16
0
4
8
4
4
4
4
16
0
0
0
0
0
0
0
0
0
0
16
0
8
0
0
0
16
2
8
16
16
16
16
30
30
30
16
16
2
8
2
24
4
4
4
4
0
8
8
8
8
8
12
12
0
0
0
1
1
1
1
1
1
1
1
1
8
8
4
4
1
16
16
16
16
16
16
16
24
16
16
8
8
0
1
1
0
0
0
0
0
16
0
0
0
2
2
0
50
34
16
0
8
8
8
13
0
0
0
1
1
1
4
24
4
4
4
4
9
9
9
0
0
16
16
0
4
0
0
8
2
1
1
1
24
0
0
8
0
2
2
28
3
32
34
4
4
0
0
8
8
16
1
0
2
24
24
24
24
24
16
16
0
0
0
1
8
8
0
0
8
8
8
8
8
8
8
8
56
25
25
25
25
32
8
0
0
16
2
4
4
4
8
8
24
24
4
4
0
2
0
0
8
8
8
16
32
32
32
24
0
0
8
8
12
4
6
12
4
32
8
8
8
0
4
4
4
4
4
2
8
16
16
9
1
8
16
4
16
16
16
16
1
8
8
8
8
16
0
8
8
8
16
16
16
24
24
16
16
0
20
4
8
8
8
8
8
8
0
16
4
4
0
0
0
8
8
16
16
4
4
4
16
16
8
8
0
0
0
0
0
0
21
21
2
16
16
16
8
8
8
16
0
0
8
18
1
8
0
24
24
24
8
8
8
0
0
0
8
18
18
16
16
4
8
8
8
8
0
0
16
16
16
16
16
8
0
0
0
8
8
2
2
1
8
24
0
1
1
0
0
0
8
8
8
8
16
16
16
16
8
24
8
8
8
0
8
8
8
0
0
0
16
16
16
1
8
8
8
8
8
1
4
4
0
0
16
16
8
42
42
42
16
8
8
2
2
9
1
8
8
8
8
0
0
0
8
8
8
8
2
2
2
0
14
20
16
8
1
1
1
8
0
0
16
16
16
24
32
32
32
0
0
0
0
0
8
8
8
1
1
0
1
20
8
8
8
0
0
8
0
0
16
16
16
16
16
8
8
8
8
8
8
8
8
8
8
0
0
0
9
9
1
1
1
0
0
20
0
0
0
8
8
10
0
8
8
8
4
8
16
0
0
0
4
0
16
16
2
16
0
0
16
16
8
8
16
16
16
0
0
16
16
16
16
4
4
4
0
16
16
16
1
16
16
16
16
16
16
0
16
16
0
0
0
0
0
0
0
8
8
0
8
0
4
4
4
0
0
2
2
2
2
16
16
16
16
16
16
16
8
36
12
4
16
16
20
16
8
8
8
4
16
8
16
1
2
16
8
8
8
16
16
16
16
0
0
16
1
2
16
0
8
8
24
24
8
8
16
0
4
4
5
5
8
24
8
56
4
6
6
0
16
8
0
8
8
8
8
8
10
8
8
0
16
16
0
2
8
8
8
8
1
0
0
8
8
8
12
12
12
12
12
4
4
0
16
16
8
8
16
16
16
32
32
8
8
8
8
8
8
24
17
17
17
8
8
0
4
4
0
0
8
1
16
8
0
0
8
8
0
1
48
8
8
8
16
16
16
16
8
8
16
0
0
0
0
16
16
24
8
8
8
8
0
32
32
8
8
16
0
8
8
8
8
8
8
32
2
2
2
8
8
0
0
0
4
0
0
0
16
2
2
0
0
0
24
28
8
8
8
8
0
0
0
0
8
0
24
0
0
0
4
16
24
8
0
8
0
0
0
16
8
16
4
4
0
0
16
0
0
0
0
0
0
0
33
33
1
17
1
4
32
8
32
32
32
33
9
9
9
9
16
8
0
0
11
11
0
10
0
0
0
4
24
0
0
0
16
1
8
48
2
17
0
16
16
16
4
4
8
4
4
4
16
16
16
8
1
0
0
2
2
2
2
1
1
8
20
10
0
0
8
0
16
0
0
0
16
16
16
16
24
16
16
8
32
1
16
0
0
0
0
0
0
32
32
32
32
32
12
8
0
0
0
1
8
0
16
16
1
1
1
1
1
16
16
16
0
0
8
2
0
0
0
8
8
8
8
8
8
12
0
6
6
32
32
4
4
4
4
20
8
16
16
16
16
8
8
8
8
8
8
8
8
24
24
24
8
16
16
8
16
16
16
16
16
4
4
4
8
16
16
32
16
0
2
58
8
8
0
8
8
4
2
2
16
16
0
8
8
8
0
0
5
4
4
8
8
8
8
8
20
17
17
25
8
0
0
0
0
0
0
0
16
4
4
8
40
20
20
20
0
18
2
8
8
28
28
16
16
2
4
4
0
8
8
0
16
32
0
16
8
0
4
28
2
2
2
8
0
0
0
8
8
8
0
32
32
32
8
8
8
16
8
16
16
16
0
2
2
17
1
8
49
49
2
0
8
16
16
16
16
4
6
0
8
4
4
0
0
4
4
4
4
16
8
32
32
0
16
16
16
16
18
26
18
18
8
24
24
8
8
0
0
0
16
16
4
4
16
8
8
8
8
8
8
0
0
16
16
4
8
8
8
8
0
8
16
16
16
0
0
0
17
17
16
16
0
4
4
8
8
0
0
8
8
8
8
18
1
1
1
1
1
16
16
0
16
16
41
16
2
8
8
8
8
8
16
16
8
8
0
16
16
1
0
0
20
4
0
16
16
2
2
2
8
8
0
8
8
8
8
8
8
1
1
4
8
8
8
8
8
8
0
0
0
8
0
0
8
2
2
2
2
16
16
2
8
8
8
8
8
8
8
0
4
4
8
8
8
8
0
0
9
9
9
40
40
0
0
8
0
0
8
8
8
0
8
8
8
8
16
8
8
8
8
8
4
0
0
0
0
0
0
0
0
1
16
16
24
0
0
0
8
8
1
24
24
16
16
16
16
0
0
0
0
1
1
1
1
1
1
0
8
25
0
8
24
8
8
8
48
0
1
0
8
0
0
0
33
1
1
1
1
1
1
1
1
1
1
8
8
8
8
8
8
8
16
24
16
16
16
16
8
8
8
16
16
16
8
8
8
8
4
8
16
16
16
16
16
4
8
4
0
0
16
16
0
4
4
0
0
8
8
8
8
8
0
0
0
0
0
48
16
16
16
16
16
16
24
1
1
16
16
16
16
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
6
2
2
2
2
2
2
2
16
8
8
8
0
0
32
1
1
8
2
16
20
20
8
16
16
16
16
16
16
16
2
0
0
0
16
8
12
2
2
16
1
1
0
0
17
17
17
17
17
16
16
8
0
1
1
1
0
0
8
8
8
0
28
8
8
6
6
1
8
20
20
0
0
0
16
16
1
48
16
16
28
28
2
0
8
24
16
0
8
8
0
48
52
1
8
8
30
4
0
0
0
0
0
16
0
0
4
40
16
50
34
34
34
0
0
12
8
0
0
8
8
8
8
16
0
2
2
2
8
8
8
8
0
2
0
0
1
1
1
17
17
8
8
8
8
0
0
0
4
4
4
16
1
18
26
18
18
0
0
8
8
8
17
2
0
0
0
42
1
1
1
1
1
8
10
10
0
0
16
27
8
8
2
0
8
24
8
12
16
8
1
1
16
16
24
24
24
24
1
2
4
4
8
0
0
1
16
0
8
8
8
8
0
32
32
8
16
16
18
8
8
8
8
8
8
16
3
0
0
0
8
2
10
8
0
0
1
1
1
0
8
0
24
16
4
4
4
0
0
0
0
0
0
0
4
16
8
36
36
16
16
32
16
16
16
16
16
16
34
34
1
0
0
0
25
29
29
29
29
26
0
4
4
8
8
8
8
8
8
17
17
9
1
8
8
8
8
0
0
0
0
8
0
0
16
16
16
1
1
1
1
1
0
0
0
4
4
4
4
18
18
8
8
8
8
16
0
0
1
1
16
8
4
0
0
1
1
0
0
8
0
8
17
8
8
8
0
0
16
20
20
20
48
0
16
0
4
4
16
26
16
0
0
8
24
24
0
0
0
0
1
0
0
0
0
10
4
4
1
0
16
6
48
0
0
16
16
16
16
0
0
0
0
8
8
9
9
4
4
0
0
8
8
4
4
16
16
16
16
40
42
42
42
8
0
0
0
0
0
0
0
0
0
1
1
1
0
0
4
8
8
8
0
0
8
8
8
8
4
8
0
8
8
16
8
0
0
0
0
20
20
20
20
2
6
2
2
8
4
8
8
8
8
8
8
8
8
8
8
16
16
0
2
2
2
8
8
8
16
16
0
17
0
2
16
0
0
8
8
1
1
16
16
4
4
4
4
4
8
8
8
0
8
37
61
0
10
8
24
24
44
32
32
16
16
0
0
1
1
0
28
28
1
1
0
1
1
1
8
8
20
4
16
16
16
0
24
2
20
16
8
16
0
24
24
8
16
16
0
0
0
16
17
0
8
12
8
16
8
12
1
1
1
0
8
0
0
0
0
0
0
15
15
2
8
0
0
8
4
4
4
48
16
2
2
0
8
16
16
4
8
8
0
8
8
8
8
8
33
35
33
33
4
0
12
4
4
4
0
8
4
8
2
8
0
0
1
1
8
8
8
8
12
4
0
0
0
16
8
8
8
8
8
8
8
8
8
8
8
8
0
16
1
1
1
1
8
24
16
16
0
0
0
0
8
0
1
1
1
0
0
0
0
16
16
0
16
8
8
0
0
1
1
1
8
8
8
8
8
32
32
32
0
16
8
16
16
24
16
16
8
8
16
16
8
0
8
0
24
24
0
18
18
18
16
0
0
32
32
8
8
8
8
8
8
8
8
8
8
16
16
16
16
8
0
16
16
0
0
8
8
8
8
8
8
8
24
8
0
24
8
8
1
1
8
8
0
0
0
0
0
8
8
8
8
8
8
8
16
0
16
0
0
0
0
0
0
4
8
8
8
8
2
2
2
16
8
8
8
8
8
8
2
2
0
8
8
16
8
24
2
16
16
16
16
4
1
1
1
16
16
0
0
8
12
12
0
17
2
2
2
0
16
8
0
0
0
0
0
8
24
8
2
16
16
16
4
0
0
0
0
0
0
0
8
8
8
1
16
4
4
24
24
4
4
4
0
0
0
16
0
16
16
16
16
16
16
16
16
16
8
8
8
8
0
0
8
12
0
16
8
8
8
0
20
20
0
0
8
8
16
16
4
8
8
8
8
8
0
0
8
0
8
1
1
8
0
0
0
0
0
0
4
10
8
0
4
4
0
16
16
16
16
16
1
16
8
16
16
0
16
0
20
16
8
16
16
16
0
8
16
16
0
0
28
8
0
0
8
8
8
8
8
8
4
4
4
36
2
2
16
0
0
4
4
4
4
4
4
8
8
4
4
2
2
16
0
8
2
16
16
16
16
0
9
4
4
4
16
2
16
16
16
16
24
16
16
0
4
48
0
0
0
32
32
0
2
0
8
8
8
0
0
8
0
0
24
0
0
1
1
2
2
0
1
1
1
16
0
4
4
8
8
0
0
0
16
8
1
34
34
34
4
4
4
4
4
4
14
14
14
1
1
16
16
16
16
16
0
1
1
1
8
8
8
10
10
10
23
0
12
12
24
16
16
16
4
0
8
8
2
2
0
16
4
4
8
1
1
1
0
8
8
0
8
8
8
16
12
0
8
4
24
28
12
0
4
0
0
8
8
8
16
16
16
16
24
24
0
8
8
8
8
8
0
1
2
0
8
8
8
0
0
24
24
1
1
8
8
8
16
8
8
16
36
0
8
8
40
40
32
8
0
0
0
0
2
16
16
16
32
32
32
8
8
0
0
8
8
8
8
8
8
24
24
0
2
2
2
2
8
8
0
16
15
16
32
32
32
25
8
4
4
0
0
0
0
0
16
1
0
0
16
0
8
1
2
2
6
6
8
8
0
0
0
0
3
3
0
0
16
16
16
9
1
2
24
2
2
2
8
8
2
2
2
0
4
4
4
4
20
20
4
4
16
16
4
4
4
4
4
16
10
10
10
10
16
16
16
16
16
0
1
40
32
32
32
32
4
52
52
52
0
8
16
16
16
32
8
8
8
13
13
8
2
0
4
4
16
4
4
48
16
0
4
0
8
0
16
16
16
16
2
8
8
0
2
8
8
8
4
16
8
8
8
0
8
8
5
0
8
8
8
8
32
32
32
0
16
8
20
16
16
4
4
4
4
0
1
8
8
8
16
0
16
16
16
16
16
16
24
24
32
32
24
0
16
16
10
16
16
8
24
24
24
24
2
16
16
16
24
32
16
0
30
30
30
30
30
30
16
16
0
0
24
8
8
8
8
8
8
52
0
4
4
4
4
4
4
0
0
0
0
0
8
0
0
2
0
2
2
2
2
0
0
32
16
16
8
8
8
4
8
0
0
0
8
8
8
0
8
8
8
8
40
8
32
7
2
2
2
4
5
4
4
4
4
4
17
17
56
1
1
24
0
8
8
8
8
8
8
14
14
16
16
8
8
8
8
8
8
8
52
52
52
8
16
16
16
16
16
1
1
1
0
2
2
4
4
16
16
16
40
8
8
8
16
0
0
2
2
1
1
24
0
16
4
4
4
4
0
0
0
0
2
0
8
8
8
8
8
8
8
0
0
8
8
8
0
8
24
8
8
8
0
0
0
16
1
16
16
0
8
0
8
9
0
0
0
48
53
48
48
7
7
7
0
0
1
1
0
0
16
1
8
24
16
2
2
2
2
2
8
8
4
5
5
5
5
29
17
1
1
2
2
4
4
8
12
8
8
0
0
0
8
8
8
4
4
8
16
16
0
26
4
1
1
33
8
8
8
8
12
4
0
0
8
8
16
8
4
0
0
0
0
0
8
0
8
8
8
8
0
0
0
0
8
11
59
16
8
8
8
8
8
8
8
8
8
8
1
1
12
16
16
0
0
0
0
12
4
4
0
16
0
0
0
0
48
16
16
8
8
8
8
1
1
4
16
16
0
0
4
4
4
1
1
8
1
8
8
8
0
0
0
0
8
18
0
32
8
16
8
8
4
4
4
0
0
33
16
16
16
16
16
16
32
18
18
18
24
16
24
21
0
4
6
8
8
8
2
2
8
8
8
8
0
0
18
16
18
0
17
8
1
1
16
0
0
0
8
8
0
1
5
5
5
16
1
1
1
1
18
8
8
16
16
8
8
16
2
8
32
32
8
8
8
16
5
5
8
17
16
16
16
8
8
8
8
8
8
24
0
0
16
8
8
0
0
0
16
16
16
0
30
30
30
16
0
16
0
8
0
8
8
8
4
8
9
0
16
0
0
0
32
3
0
8
0
8
16
0
16
16
0
2
2
8
4
0
16
16
8
12
12
8
16
24
1
1
1
1
1
8
8
8
8
16
8
16
16
16
4
56
16
0
8
48
16
0
28
0
0
0
5
1
16
16
41
41
0
8
8
8
0
0
0
16
0
1
1
32
0
0
0
8
8
8
8
8
8
8
20
20
0
8
4
32
8
22
22
0
8
8
8
24
8
1
0
0
0
8
8
8
8
8
8
8
8
0
0
0
32
0
0
0
0
1
1
0
4
16
34
0
0
16
1
1
8
8
1
16
12
1
1
1
8
8
8
0
27
27
27
27
0
0
0
8
8
8
8
0
8
16
16
16
16
16
16
8
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
0
0
4
4
2
16
16
1
0
4
4
4
4
8
0
0
8
36
4
16
36
16
8
8
8
8
0
0
0
9
8
8
8
0
16
0
16
16
2
2
2
3
8
8
8
8
8
18
2
16
16
8
16
16
16
16
16
16
4
2
2
8
18
18
18
0
20
20
0
1
1
0
0
8
20
20
8
32
32
32
8
44
8
8
16
4
0
0
8
8
0
8
8
0
16
0
8
8
8
8
0
0
24
24
24
24
4
1
1
1
1
8
8
8
0
0
0
4
2
4
4
1
1
0
0
2
2
2
8
8
8
8
0
8
0
0
8
8
1
1
1
1
16
4
4
2
2
0
4
48
0
0
0
0
0
0
0
16
16
4
16
16
16
16
16
16
0
8
2
0
16
16
16
16
16
16
16
1
1
1
1
1
1
16
16
16
0
16
4
4
4
4
0
0
16
1
1
4
4
8
16
24
0
2
4
8
0
2
2
2
0
0
8
18
16
16
16
16
16
16
16
16
8
8
0
8
8
8
4
0
18
16
16
8
8
8
8
0
8
4
16
8
8
8
0
0
0
0
16
0
8
8
8
8
8
24
4
8
8
18
16
16
8
8
8
16
2
0
8
16
8
1
1
8
8
8
1
1
0
0
16
16
0
16
16
16
4
4
0
48
1
0
16
1
1
1
0
0
0
0
0
0
0
0
0
4
0
0
8
8
8
8
0
0
4
4
8
16
16
0
0
8
16
16
24
16
16
16
16
4
4
0
1
8
8
8
8
8
8
8
0
8
2
8
8
8
8
8
8
8
1
1
1
0
17
17
17
17
17
8
32
32
32
32
16
0
0
8
8
12
0
4
4
4
0
16
16
16
4
48
48
0
0
16
16
0
0
0
16
16
16
8
8
8
2
0
8
40
8
16
2
2
2
2
0
0
0
8
8
8
16
16
16
16
16
16
0
0
0
20
8
8
10
2
2
8
0
1
1
1
0
0
0
4
4
4
16
24
24
8
16
0
8
0
0
0
1
16
26
0
48
48
0
50
2
18
1
1
1
1
1
1
0
0
32
9
1
4
16
16
16
16
4
13
8
0
0
0
0
8
4
0
41
0
8
8
4
4
0
0
0
0
8
0
8
16
24
0
0
1
1
1
1
16
8
8
8
16
16
1
4
4
16
0
0
16
16
16
16
0
1
1
1
0
0
6
6
0
0
0
8
8
4
16
16
0
0
0
0
8
16
8
16
16
16
32
32
32
0
20
16
16
0
8
0
8
0
16
16
4
4
4
4
4
4
8
24
24
24
16
16
4
17
8
2
2
1
1
0
0
0
4
0
0
8
2
8
8
1
0
0
0
0
16
16
0
0
8
8
16
0
8
8
1
1
1
9
9
9
8
0
0
8
8
0
0
0
8
16
16
8
16
32
32
40
1
0
0
0
33
33
33
8
8
8
0
8
4
0
8
8
8
4
4
4
1
0
0
0
1
1
1
1
16
25
16
16
8
8
8
8
0
0
16
16
8
16
16
0
1
32
32
8
0
16
0
16
8
8
8
16
0
0
1
32
32
8
8
8
8
8
42
42
0
8
0
4
4
4
8
16
16
0
8
8
8
8
8
8
8
8
4
4
4
16
16
16
8
1
16
16
16
0
0
0
2
16
16
16
0
8
9
0
0
0
0
8
8
0
8
16
0
0
8
8
8
8
16
16
0
16
8
32
32
41
4
6
6
41
0
0
0
0
8
8
8
8
8
8
8
8
8
0
0
0
24
8
2
2
16
16
0
19
1
0
0
8
16
8
8
16
8
16
8
8
8
8
8
0
16
18
0
0
0
0
0
16
11
0
0
4
0
0
8
8
8
8
28
4
8
24
16
0
33
1
1
1
4
2
2
0
0
8
8
0
0
0
0
16
1
1
8
8
2
2
2
16
16
9
25
2
2
2
16
8
1
0
16
16
16
16
8
0
0
0
8
24
4
4
0
4
4
4
4
4
4
4
4
0
0
0
16
16
8
8
1
0
0
0
0
0
12
12
8
8
8
8
40
1
2
0
16
16
8
0
4
3
8
16
24
0
0
0
0
0
0
8
0
32
32
32
32
4
16
16
16
16
16
16
16
16
32
0
8
8
1
16
16
0
0
0
2
2
2
2
8
8
0
0
18
18
4
4
0
0
8
0
8
8
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
16
16
16
0
0
0
0
0
16
18
16
16
16
16
16
0
0
4
12
4
8
32
32
16
9
18
16
8
8
8
0
0
0
0
0
0
3
0
0
16
8
8
8
0
8
8
8
24
28
8
24
24
2
16
16
16
8
8
16
40
2
2
1
1
1
1
1
0
0
0
4
4
4
8
1
0
0
4
0
31
8
8
8
16
16
24
0
0
0
0
16
16
16
0
8
8
16
16
1
0
0
4
10
2
0
0
0
0
0
8
8
8
4
4
4
6
8
0
0
16
8
0
8
16
16
16
18
18
4
16
16
24
0
0
16
16
4
8
0
0
17
17
16
24
8
33
4
56
0
24
0
0
0
0
1
16
1
16
0
8
8
4
4
4
4
4
4
4
4
8
24
8
8
8
8
8
16
16
0
0
1
1
1
1
1
1
0
8
1
1
16
16
20
0
0
0
0
0
8
8
0
26
0
16
16
16
16
16
16
16
16
6
0
1
1
1
2
0
0
0
0
0
0
0
0
0
18
8
8
16
9
0
0
0
0
8
8
8
8
8
8
8
8
11
16
16
1
4
40
8
8
16
16
8
8
8
8
8
8
8
0
4
3
56
8
8
8
8
8
8
8
18
0
2
6
0
0
8
8
0
16
16
16
16
0
0
0
2
0
0
1
8
8
0
0
16
16
16
2
1
1
24
24
0
0
16
16
16
0
0
16
16
1
9
1
8
8
8
16
16
0
8
16
16
0
0
1
0
0
0
1
1
0
0
0
0
4
4
4
4
4
4
4
16
1
1
1
8
1
1
8
8
16
16
0
0
0
8
0
0
8
0
0
4
0
16
8
0
0
0
16
0
0
0
16
16
8
8
0
26
8
8
0
16
20
8
8
24
8
2
2
2
8
18
1
0
0
1
8
8
8
1
1
1
0
0
8
8
4
4
4
2
2
2
2
0
0
32
0
0
8
8
8
8
8
1
16
8
8
8
24
4
4
4
0
0
0
0
4
16
16
8
0
8
12
8
8
0
0
2
2
0
0
16
3
2
0
0
0
0
8
0
1
1
4
4
4
0
0
0
0
24
24
8
8
8
40
16
24
16
16
16
8
0
8
8
8
8
8
8
8
32
18
18
26
9
9
0
0
8
8
8
8
8
8
8
8
42
42
42
42
0
1
0
0
0
8
8
8
8
0
0
8
0
16
8
1
1
1
0
18
18
18
18
18
0
0
2
8
8
8
8
8
20
20
0
0
8
8
0
0
8
0
8
8
0
8
8
8
2
2
0
16
16
8
2
8
0
0
8
4
4
4
4
4
0
4
0
16
16
16
16
16
8
16
0
16
2
16
16
16
0
1
1
58
16
16
16
0
0
16
0
8
0
0
0
0
16
16
32
32
16
16
1
8
1
1
1
8
8
0
0
0
8
3
0
0
34
2
8
4
4
0
0
0
54
0
1
1
8
0
0
1
1
13
13
1
1
25
24
24
0
0
8
8
4
4
4
4
4
4
0
1
1
1
33
4
32
0
0
0
0
16
0
0
4
0
2
8
8
16
8
8
8
0
0
8
10
8
8
8
8
0
24
8
8
0
4
4
4
4
4
2
4
8
26
26
4
16
20
0
8
8
8
8
8
8
8
8
8
8
8
4
0
4
4
1
1
8
8
8
1
1
1
8
0
8
8
8
16
8
8
22
22
8
8
8
8
0
8
16
16
8
8
8
8
8
1
28
28
28
28
28
0
0
0
0
0
0
0
0
0
32
0
0
0
0
0
8
8
8
8
24
0
8
0
16
0
0
20
20
20
0
8
8
8
0
0
1
0
16
16
0
3
8
16
1
1
0
0
1
16
40
40
40
28
4
8
12
8
8
8
8
8
8
32
48
8
8
16
8
8
8
8
8
8
8
8
0
8
8
0
0
16
0
0
1
4
0
16
16
16
16
8
8
4
0
0
0
0
8
16
0
0
1
1
0
0
16
0
0
0
0
32
32
41
0
0
0
16
16
0
0
16
0
0
16
16
0
0
20
16
0
0
8
8
8
24
24
16
16
16
0
8
4
4
1
1
4
0
0
0
4
4
4
0
16
16
8
8
8
16
0
0
16
16
16
16
16
16
16
16
6
1
1
8
8
32
0
16
16
16
8
8
0
0
8
8
2
3
16
16
56
24
0
0
8
8
0
0
0
8
6
6
4
4
8
24
24
24
16
0
0
4
4
8
16
0
0
1
1
0
0
16
16
16
8
8
0
0
8
24
16
16
2
0
0
20
20
13
0
0
0
2
0
16
16
16
16
8
8
0
0
0
0
0
56
8
8
8
0
0
4
4
2
2
2
8
8
8
8
1
32
8
8
0
0
0
0
0
8
8
8
8
8
8
8
8
8
0
0
0
4
4
4
4
8
0
0
25
25
1
1
1
1
0
8
8
8
0
0
16
10
2
2
8
8
8
16
16
0
0
0
8
16
0
2
2
2
0
0
32
32
49
1
1
48
11
11
0
1
1
0
0
1
0
0
0
4
16
16
0
32
0
0
0
32
32
0
0
0
8
8
8
8
4
4
4
0
8
1
16
6
0
0
0
8
8
8
8
8
8
1
0
0
0
0
0
8
4
4
4
17
17
8
2
9
8
45
45
16
16
8
8
8
24
24
0
0
8
16
16
0
0
0
0
0
2
2
0
0
5
0
16
17
16
0
8
0
0
0
16
4
20
20
20
2
4
8
8
16
16
0
32
18
0
8
8
0
8
4
11
11
8
8
8
8
8
0
0
0
0
0
0
8
0
0
0
8
8
0
0
16
16
8
16
16
32
8
8
8
16
0
0
0
0
0
1
1
27
27
0
0
0
0
0
0
16
0
1
1
8
8
0
8
10
8
41
1
4
4
0
0
0
0
4
4
0
0
8
8
0
1
2
20
0
16
16
4
8
8
24
24
8
4
32
32
32
20
20
0
0
0
4
4
8
8
1
8
8
16
16
16
0
0
0
0
0
8
1
0
0
0
0
0
16
16
0
0
0
0
0
8
8
2
1
1
8
8
8
32
0
16
8
8
8
8
0
8
8
0
0
16
16
16
16
0
3
3
8
8
16
0
8
8
32
8
8
4
20
20
0
8
8
8
8
8
16
0
20
4
22
20
32
32
32
17
1
18
0
8
0
3
3
3
8
32
4
4
1
1
8
8
8
8
8
8
8
16
16
16
16
26
26
26
8
8
8
8
8
0
0
0
0
0
16
16
16
8
16
33
8
8
4
12
12
12
0
0
0
16
16
12
17
2
2
0
0
0
0
24
8
8
16
16
8
8
8
0
0
8
0
0
1
1
0
4
4
4
0
2
2
3
3
0
0
16
16
8
9
9
41
8
8
8
8
8
6
16
2
18
24
24
16
16
16
16
16
0
0
0
0
16
16
16
16
16
8
8
2
2
2
2
0
16
16
16
16
16
16
16
16
10
8
2
4
4
0
16
16
16
16
16
1
16
8
0
1
16
16
20
20
20
20
0
16
16
8
8
8
0
0
16
16
16
16
16
16
16
8
4
2
8
8
0
0
0
0
0
8
8
0
20
20
0
0
4
4
4
4
8
8
8
0
8
8
0
0
0
0
8
8
4
4
0
0
0
8
8
8
8
16
32
32
16
0
0
0
0
9
1
1
8
4
0
0
24
24
0
16
0
0
0
16
32
1
1
1
1
8
16
1
1
1
0
8
10
10
0
0
8
8
8
0
28
20
20
0
0
0
0
0
1
0
8
8
2
2
2
2
2
2
16
0
16
16
0
0
16
16
0
0
16
0
0
0
0
0
0
0
0
0
0
8
8
3
32
32
16
16
0
8
1
0
2
8
16
4
0
0
0
8
8
16
0
0
0
9
9
9
9
9
9
9
8
0
2
2
2
1
16
16
16
16
16
16
0
2
0
0
0
8
3
0
0
0
0
18
16
1
24
17
17
0
8
16
0
8
16
0
0
16
8
8
0
8
0
0
0
17
16
16
16
16
0
8
0
8
0
4
0
4
16
16
16
16
16
16
16
16
16
0
0
4
0
0
8
0
0
0
8
0
8
8
0
0
0
4
4
24
24
24
24
8
0
16
0
16
8
32
32
32
0
16
16
16
16
8
8
8
16
16
0
4
4
4
8
4
0
24
8
36
36
36
16
4
4
8
8
8
8
8
1
8
8
8
0
8
8
8
14
6
6
16
16
16
2
16
8
24
8
8
8
2
2
0
0
0
0
0
0
0
0
0
0
9
16
16
16
16
32
8
16
8
8
0
16
16
16
20
0
8
8
8
32
32
32
8
8
8
0
0
0
0
0
0
8
16
0
1
32
32
16
16
16
0
0
20
16
8
8
8
4
4
4
4
0
8
16
16
1
0
0
8
0
0
0
0
8
8
8
16
0
0
0
8
8
8
8
8
4
4
16
16
0
0
16
32
32
32
4
4
16
16
8
16
8
8
0
0
0
8
8
0
0
0
6
4
6
6
13
13
0
0
0
0
24
25
24
24
1
0
0
0
32
16
8
8
0
16
16
16
16
16
8
16
0
2
17
17
8
0
0
0
0
16
8
8
12
12
0
0
0
0
28
8
8
16
8
16
16
16
0
4
4
4
32
0
1
4
0
0
8
8
8
8
0
0
0
8
16
16
16
16
16
16
8
8
4
4
4
4
4
4
8
4
0
2
2
2
2
16
8
8
1
8
8
16
16
2
24
8
8
8
24
2
2
16
8
8
8
8
8
16
0
0
8
8
8
0
8
8
8
8
8
8
8
8
24
24
24
24
8
8
32
4
4
4
4
0
0
16
16
16
32
32
0
20
20
6
4
4
8
1
0
0
0
0
8
8
16
16
16
16
16
16
4
20
4
4
4
4
1
16
17
0
8
8
8
8
16
16
16
16
16
16
16
8
8
8
4
4
1
2
2
18
36
36
36
8
0
16
4
4
16
16
0
12
8
8
8
8
2
2
2
2
2
16
8
8
0
8
16
16
0
0
0
0
8
8
16
1
1
16
16
16
1
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
16
16
16
16
4
8
16
8
16
16
4
4
8
20
0
0
16
16
16
16
1
1
8
0
0
0
8
8
8
8
8
8
24
24
8
16
16
16
8
8
1
1
1
4
1
16
16
24
0
8
8
0
0
16
16
8
8
8
8
8
16
0
8
8
0
0
0
0
0
0
0
16
2
0
8
4
8
4
0
4
16
8
8
0
0
8
16
16
4
32
0
0
25
0
16
16
16
0
0
8
8
8
0
16
16
36
4
8
8
8
8
8
0
8
16
16
16
16
0
0
0
0
8
8
0
0
0
16
16
16
16
16
16
16
16
16
16
0
0
16
16
4
37
37
37
0
0
8
8
8
8
0
8
8
8
26
16
16
0
0
4
4
0
8
0
0
8
8
8
8
1
8
8
8
16
16
8
8
8
41
0
16
1
1
2
2
34
34
34
33
33
16
1
8
8
4
16
16
16
0
2
2
0
8
8
8
8
16
32
32
0
8
8
0
0
0
16
8
0
16
16
8
8
8
4
12
8
8
16
16
8
8
16
16
16
16
0
8
0
0
0
0
0
0
0
2
8
0
28
0
8
8
8
8
8
8
0
0
0
12
8
8
16
16
0
0
0
0
8
8
16
16
16
0
0
20
8
8
0
0
0
0
0
0
8
8
8
0
0
0
16
0
4
4
4
4
16
1
0
4
4
4
4
20
1
1
32
32
11
11
11
2
2
16
16
8
16
0
8
16
16
16
0
0
0
0
0
8
8
8
8
8
8
8
10
0
3
3
8
8
8
6
6
6
0
0
0
32
32
32
32
32
32
0
0
16
4
17
4
4
17
17
17
8
8
8
24
0
16
16
1
0
0
0
8
8
41
24
41
1
16
16
16
16
16
8
0
0
8
16
16
16
16
8
24
8
8
8
8
8
8
1
1
1
32
32
16
4
4
4
0
0
1
1
8
8
8
8
8
0
8
0
8
24
24
24
24
24
0
0
0
0
0
8
0
25
8
8
8
24
24
0
4
4
32
32
32
2
2
1
1
4
8
8
4
8
8
8
9
9
9
2
16
24
1
1
1
1
24
0
0
8
8
2
18
8
8
8
8
0
62
0
8
8
8
10
2
0
4
4
4
4
4
32
32
32
1
0
8
57
16
8
16
32
8
0
0
16
16
16
8
8
8
1
1
1
1
4
4
8
8
8
24
16
16
0
0
33
33
33
33
33
0
0
0
8
0
0
0
0
4
4
4
8
0
0
0
0
2
2
2
2
2
16
16
0
16
32
8
8
1
0
32
1
1
1
1
1
1
24
24
0
8
8
2
8
16
16
16
16
16
49
49
0
5
5
4
16
16
16
16
0
0
16
16
16
16
16
1
0
0
0
8
8
8
8
8
8
8
8
8
8
24
8
8
8
48
48
48
32
16
48
0
0
8
8
8
0
16
0
16
16
16
8
8
0
8
8
8
8
8
24
16
8
8
8
8
0
0
1
1
18
18
18
12
4
8
0
1
8
8
0
8
16
4
0
22
54
32
32
32
8
8
16
16
8
8
8
8
8
2
0
8
8
8
8
8
4
0
0
0
1
0
0
40
40
1
0
0
0
0
8
4
0
0
8
8
0
4
4
4
4
2
2
2
8
16
16
0
2
8
8
8
0
4
16
20
16
0
16
1
1
16
2
8
8
8
8
4
4
4
4
4
16
0
8
8
8
8
0
0
0
0
16
0
17
0
8
8
8
16
24
48
1
2
2
0
0
0
0
8
33
35
16
24
1
25
1
8
4
0
16
4
32
0
0
8
0
4
4
4
4
8
1
1
1
1
8
8
8
8
8
8
8
8
0
4
4
4
16
16
8
16
16
16
0
0
4
4
4
0
0
0
8
8
8
8
8
0
0
8
8
8
9
9
9
9
8
0
0
0
4
8
0
16
16
16
0
0
8
32
8
16
16
16
8
8
4
0
0
0
0
0
0
0
0
16
16
0
0
0
0
32
0
0
6
6
0
20
32
32
32
32
32
0
0
4
4
4
4
0
4
4
4
8
8
8
8
8
16
16
4
8
0
8
8
0
4
4
8
16
16
8
8
8
0
8
0
16
18
16
8
8
8
8
8
16
16
8
8
24
25
18
18
0
0
16
0
0
0
8
17
8
0
1
2
10
0
0
16
16
2
10
8
1
0
4
1
8
8
8
0
0
3
4
8
24
1
8
1
0
16
16
16
32
32
32
32
8
16
8
0
2
4
6
2
0
0
8
1
1
21
21
8
0
0
16
16
8
0
0
0
8
8
8
8
21
0
0
0
0
0
0
0
16
1
8
16
0
16
8
0
0
8
8
8
30
30
2
2
8
8
16
4
4
4
16
32
32
8
8
0
0
0
1
1
1
1
2
2
32
0
16
8
0
16
16
8
8
0
16
16
0
8
16
16
0
8
0
16
16
8
16
16
16
8
8
8
16
16
4
8
32
32
1
0
0
0
0
8
16
0
1
1
1
0
0
0
11
11
11
0
0
0
4
16
16
8
8
0
1
0
0
0
0
0
0
0
0
0
4
30
16
16
8
8
0
24
8
8
8
24
12
4
8
8
8
20
0
0
8
8
1
16
16
16
0
0
0
0
0
0
16
0
8
8
8
32
32
32
32
0
16
16
4
8
8
8
8
8
8
18
18
18
8
19
19
19
17
0
0
0
0
0
4
4
16
0
8
24
0
0
0
0
1
0
0
0
4
4
4
8
2
2
4
24
24
16
16
16
1
1
1
1
8
28
20
16
8
0
0
0
8
8
8
17
17
16
2
1
2
2
0
8
8
8
8
0
0
0
0
0
0
1
1
8
8
8
0
0
16
16
4
4
16
4
8
8
8
8
8
8
8
9
8
8
8
8
8
0
0
0
16
0
0
10
10
8
0
0
16
1
1
8
8
8
5
5
5
5
6
6
16
8
16
8
1
2
3
16
16
0
8
8
16
16
16
8
8
4
32
32
32
32
16
16
16
0
1
4
16
16
40
8
8
12
0
8
0
0
0
4
4
10
8
0
0
17
0
0
8
8
8
32
0
0
1
1
0
16
24
20
0
4
12
12
41
1
8
8
16
16
8
4
4
0
0
0
0
0
8
8
8
41
41
1
1
9
4
4
2
4
8
16
16
16
16
16
0
0
0
0
0
0
32
32
0
2
0
0
0
8
8
0
0
8
0
2
2
2
2
2
2
16
8
8
8
0
0
0
16
1
1
8
8
0
1
1
1
1
8
0
2
0
0
0
2
0
0
12
0
0
8
8
1
8
8
0
8
8
4
4
4
2
8
4
8
0
8
8
8
8
0
12
16
16
12
16
16
16
16
16
4
25
8
8
8
8
8
8
12
12
12
32
0
0
8
0
8
0
32
32
32
4
8
12
12
12
12
12
12
12
0
0
8
16
4
8
0
5
5
5
8
8
8
16
16
16
16
16
0
0
4
4
8
8
8
8
8
16
16
16
16
16
16
0
0
8
8
8
8
8
2
16
16
2
2
4
4
1
1
8
0
0
0
0
8
8
16
16
0
0
16
16
16
16
16
4
2
0
16
2
2
2
2
16
16
2
2
2
2
2
2
2
2
24
24
24
24
16
0
16
0
0
16
16
16
0
0
8
8
16
8
0
4
4
23
23
8
8
0
0
32
32
4
0
0
12
12
4
8
8
0
0
8
8
16
28
2
0
4
16
16
16
0
0
8
17
17
17
8
17
16
8
40
8
8
8
8
0
0
8
8
8
12
24
24
8
8
8
8
8
8
8
8
0
0
8
8
8
8
0
0
0
8
8
4
8
16
16
16
16
16
16
16
4
6
4
4
4
4
0
4
0
2
8
8
8
8
16
8
8
8
8
8
8
8
8
8
8
8
8
0
8
8
4
16
16
4
0
16
8
1
1
0
0
16
16
1
1
1
0
8
2
8
8
8
8
8
0
0
0
16
16
16
16
8
1
2
8
0
0
0
0
16
2
2
59
32
16
16
16
16
8
16
8
8
4
0
0
0
18
16
8
16
24
16
0
20
20
0
22
22
22
22
0
0
34
34
34
0
0
0
0
0
0
0
4
4
4
16
16
16
0
6
8
10
2
16
18
16
0
0
8
8
8
16
16
20
8
8
8
0
8
8
8
16
24
1
16
16
16
8
0
0
0
0
8
8
24
8
8
0
0
8
8
8
32
8
8
8
8
8
0
0
16
16
4
4
16
0
16
16
0
0
0
0
0
4
25
1
1
1
1
0
8
8
8
2
24
8
32
0
8
8
1
16
0
4
4
16
4
4
4
0
16
16
0
1
2
18
0
16
2
8
0
0
0
0
16
16
16
16
1
1
1
1
17
17
1
1
4
4
21
8
8
8
0
8
0
0
8
8
8
16
16
16
16
16
0
8
8
16
32
32
32
16
12
8
0
0
0
0
9
2
2
2
0
0
16
0
0
0
0
16
0
8
8
0
10
8
19
48
2
8
10
16
2
2
20
20
0
0
2
2
2
2
2
2
0
0
24
8
34
8
16
26
8
8
8
0
8
24
24
1
0
0
8
0
0
0
2
2
16
16
16
20
16
16
16
16
16
8
13
4
1
0
0
8
16
0
0
0
0
8
8
0
16
16
16
16
16
16
16
16
16
32
0
0
8
0
0
0
0
0
8
16
24
24
24
24
24
0
24
0
8
0
8
0
18
8
16
16
17
17
0
18
9
8
8
8
8
8
8
8
8
16
16
8
32
32
16
16
0
1
0
0
20
20
4
8
8
4
0
0
0
0
32
0
32
4
2
2
2
1
1
1
1
1
16
16
16
10
1
1
0
16
16
16
16
16
2
1
1
1
2
0
0
0
0
0
4
8
8
0
0
28
16
16
8
16
16
8
8
8
1
4
8
0
1
16
16
0
0
8
8
0
0
0
0
24
8
8
32
8
8
8
16
16
0
0
16
16
0
2
16
0
8
8
1
2
2
8
8
8
8
8
8
2
2
2
8
8
8
8
8
0
8
12
12
40
1
1
0
0
8
16
16
1
0
0
5
8
8
8
8
8
8
4
0
0
0
4
0
2
2
2
8
8
8
8
8
8
0
16
16
16
16
16
0
0
8
0
0
0
0
8
10
8
8
8
8
8
0
28
28
8
8
8
1
4
4
29
29
29
0
8
0
0
33
16
16
16
16
16
24
16
0
0
16
1
1
0
8
16
16
16
8
16
8
16
16
16
16
16
16
16
0
0
2
0
0
0
0
0
0
0
16
16
16
16
8
8
10
16
16
16
8
0
0
8
8
8
8
8
8
8
16
0
0
0
0
0
0
8
8
8
16
0
0
0
0
0
1
0
0
16
16
16
4
4
24
24
24
24
24
8
0
0
0
20
20
8
16
16
0
19
19
19
19
8
8
8
8
8
0
0
0
16
16
16
2
2
2
4
16
8
0
0
2
0
0
1
16
16
16
16
8
8
1
0
16
16
16
16
16
16
2
2
16
8
8
8
16
16
16
16
16
16
0
0
16
16
8
8
8
8
8
8
8
9
9
9
9
0
16
16
16
24
24
24
24
24
1
16
16
1
1
1
8
24
24
0
0
24
8
16
4
0
16
16
16
8
8
8
16
8
8
8
8
8
8
16
32
4
4
4
4
4
2
16
16
0
0
0
8
8
8
8
16
4
16
4
16
0
0
16
16
32
0
0
16
16
16
16
8
12
8
8
8
0
20
4
8
20
8
5
16
0
0
4
16
16
16
0
8
8
8
8
16
16
24
9
8
8
8
8
8
16
16
16
16
16
24
16
8
8
0
0
0
0
0
1
8
29
8
0
0
0
0
32
32
13
16
16
8
25
25
25
8
8
8
8
8
8
8
8
0
0
0
16
18
18
16
16
0
16
16
16
16
8
4
56
16
16
8
8
2
0
0
1
1
1
0
0
0
8
30
8
0
0
8
8
8
8
0
0
2
8
0
0
16
17
8
8
4
0
27
16
2
18
34
2
36
32
32
16
4
1
1
0
0
0
49
2
26
8
19
19
8
8
8
8
0
16
8
0
0
2
32
32
32
16
16
8
8
8
8
8
0
16
16
0
0
1
2
2
9
8
0
0
0
0
4
0
52
52
9
9
16
4
4
4
8
8
8
0
0
0
0
0
0
4
16
16
16
16
8
8
0
0
8
8
16
16
16
16
16
16
4
28
28
0
0
0
39
39
39
39
4
16
16
0
0
0
16
16
8
8
8
8
8
1
8
0
2
2
2
2
2
0
0
0
1
1
1
0
8
48
48
8
8
8
8
4
17
8
8
8
0
0
0
8
8
8
0
8
0
0
0
0
16
16
16
2
0
0
0
0
0
0
0
8
8
8
8
8
1
8
8
8
0
0
0
0
4
4
0
0
0
4
4
4
4
17
1
0
28
4
4
4
0
0
0
0
0
0
0
0
0
8
8
8
33
0
0
0
32
16
0
8
8
0
8
8
8
0
0
0
2
28
0
0
16
16
16
8
8
16
8
8
32
32
0
0
0
8
9
2
32
16
16
0
4
4
0
0
2
2
2
24
24
24
0
16
16
16
16
16
0
0
8
8
16
16
32
40
32
32
16
2
2
2
2
2
0
0
0
8
0
0
0
32
32
32
32
0
8
8
8
8
8
0
16
0
0
0
0
5
5
4
4
4
4
0
4
8
8
8
8
0
0
8
8
25
0
32
0
4
4
4
4
1
8
8
0
0
24
16
0
0
0
0
1
8
24
24
0
0
0
2
2
0
3
1
3
16
17
12
12
12
0
0
8
0
0
16
16
16
0
1
0
0
0
28
28
28
8
8
8
16
0
4
2
2
8
24
24
1
4
5
8
2
2
2
16
16
16
0
16
16
16
4
0
16
16
16
8
8
8
16
8
8
8
1
1
16
8
24
16
16
16
16
4
8
16
8
8
8
8
8
8
8
0
8
0
0
8
16
8
8
8
8
0
0
1
1
1
1
0
0
0
16
20
16
4
16
16
0
24
8
8
8
8
8
0
0
0
0
0
4
8
0
0
0
0
0
0
0
0
1
1
1
1
16
0
0
0
0
16
16
0
43
8
0
8
8
8
8
8
8
8
16
16
9
0
8
8
8
8
1
8
8
8
8
8
0
0
0
0
32
1
1
1
1
17
1
0
0
0
8
8
8
8
8
0
16
16
16
16
16
16
16
0
0
9
16
40
16
0
0
18
18
24
16
8
17
25
17
17
17
16
16
16
16
0
17
0
0
4
0
16
16
16
16
0
8
8
40
24
1
1
1
16
16
16
16
16
16
16
49
16
8
8
0
0
16
62
62
0
8
8
8
8
8
0
22
22
8
8
9
9
9
9
9
0
0
4
48
0
0
32
4
0
0
4
24
16
24
16
8
8
1
1
16
16
2
2
2
2
16
8
8
8
8
8
8
8
8
8
16
16
0
0
0
8
8
0
16
8
16
24
4
4
1
2
8
1
1
8
0
0
16
16
0
0
0
4
0
48
8
24
16
16
16
16
16
16
0
0
2
8
8
8
8
0
0
1
1
1
16
16
32
0
0
0
4
25
16
16
1
3
1
60
4
8
2
2
8
8
16
16
8
0
25
8
0
0
8
8
8
1
9
1
8
26
26
24
24
24
16
16
8
16
16
4
4
4
0
1
8
8
0
16
16
0
0
8
1
8
8
0
0
0
8
8
16
16
16
16
4
12
24
24
0
1
0
0
8
8
8
8
8
8
8
0
0
0
4
4
8
8
8
8
4
4
16
8
8
8
0
0
0
4
8
2
0
0
1
1
1
1
0
8
4
8
8
8
8
8
8
8
8
12
8
8
8
0
8
16
8
8
0
0
2
8
12
0
16
0
8
16
16
16
16
16
16
16
16
16
1
25
16
2
2
16
16
16
16
16
2
2
8
8
8
8
11
11
11
0
0
16
17
16
8
2
0
0
0
16
32
32
32
8
0
2
0
0
16
48
16
16
16
1
8
9
1
0
8
8
8
4
8
8
8
8
8
8
0
0
0
18
2
0
0
16
8
8
8
8
0
8
28
28
2
16
0
0
16
8
8
16
4
16
0
8
8
8
0
16
0
0
0
4
8
8
0
0
0
16
2
2
2
0
0
0
0
4
4
4
4
8
32
1
4
1
0
0
8
8
8
0
16
0
16
4
1
8
8
8
8
8
8
16
6
0
0
0
0
0
4
8
16
16
8
8
1
8
0
0
0
0
0
0
0
0
0
8
0
0
2
0
0
0
8
8
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
8
8
0
16
8
0
0
8
8
8
8
0
4
4
4
25
25
4
4
4
24
24
0
0
0
0
0
0
16
16
8
4
0
8
8
0
0
12
12
12
4
4
0
0
16
2
2
26
18
4
4
0
0
0
0
8
1
1
1
2
32
48
16
0
1
1
0
0
0
0
20
16
32
0
8
8
8
8
0
0
0
0
4
0
16
0
8
8
8
8
8
8
8
0
24
8
1
1
16
8
1
40
40
32
32
32
32
0
0
0
0
0
16
16
5
0
0
8
8
4
4
8
8
8
8
0
0
18
0
4
4
0
0
8
8
8
32
32
8
8
1
1
9
1
1
1
1
8
8
8
8
10
8
8
16
0
8
0
0
16
16
1
1
1
16
4
14
16
16
0
0
8
16
16
16
0
16
16
0
8
8
8
8
1
1
1
1
1
8
0
0
0
0
0
0
0
0
0
0
32
32
32
2
2
33
41
16
16
16
16
16
0
0
16
0
0
0
0
0
16
16
8
8
8
1
8
8
8
8
8
16
16
16
16
8
8
16
8
0
0
0
8
32
32
32
8
16
16
16
8
8
8
8
8
8
8
24
4
4
4
4
4
4
1
3
3
3
3
3
3
24
8
4
4
4
9
16
16
16
0
0
8
8
0
0
32
32
32
4
4
4
0
33
33
4
0
0
1
16
16
0
2
2
1
1
4
3
3
19
19
19
8
16
16
16
16
8
8
8
8
8
1
0
0
8
8
8
8
8
1
1
9
1
1
1
8
8
4
4
4
4
4
8
8
8
0
0
0
6
6
8
0
32
36
36
0
0
0
0
16
16
16
16
0
0
0
4
4
20
48
16
16
18
0
0
8
0
0
0
4
0
0
1
4
16
9
9
0
0
0
8
8
0
1
1
1
16
16
16
16
16
0
8
8
8
8
8
16
16
0
8
8
8
0
0
2
0
0
4
4
24
8
32
33
4
16
16
16
16
0
0
0
0
0
16
16
16
0
24
24
24
24
2
0
0
8
1
20
0
0
8
8
8
8
16
0
9
6
2
2
2
2
2
16
4
17
16
8
8
8
0
0
16
8
8
8
8
8
0
0
4
8
10
2
2
8
4
0
0
0
8
16
4
4
48
16
16
16
16
17
16
16
0
27
27
31
0
0
9
8
16
32
32
32
32
2
2
2
2
16
16
32
8
8
8
8
20
8
16
16
16
16
4
4
32
16
8
8
8
0
12
12
12
12
12
12
21
1
1
0
0
1
0
0
0
0
8
20
16
16
0
8
8
8
24
8
8
8
16
16
8
8
8
8
8
8
8
0
0
8
0
0
2
16
16
24
8
8
6
8
4
0
16
16
0
50
0
8
8
8
16
2
2
2
2
16
16
16
16
0
8
8
0
16
8
8
16
0
0
1
1
1
0
8
0
8
2
2
2
4
4
4
4
4
16
16
16
16
0
0
0
1
1
1
1
1
1
12
0
0
8
8
0
8
0
0
8
8
2
3
3
3
16
0
0
8
0
2
16
12
12
12
4
8
8
0
4
8
8
8
1
1
4
8
0
0
0
8
32
32
0
0
0
0
0
8
8
8
8
8
2
2
2
0
0
0
0
1
2
0
0
16
16
16
16
16
16
0
0
0
0
8
8
8
16
16
8
8
9
9
4
4
4
19
17
17
17
8
25
9
16
16
16
16
1
1
0
0
0
0
8
8
8
8
8
16
8
4
8
8
8
8
8
8
8
8
8
8
8
16
16
16
16
0
1
8
8
8
24
8
8
8
8
0
0
56
16
16
16
44
44
8
8
0
0
16
16
16
0
0
8
8
8
4
4
24
0
0
8
8
8
41
1
2
8
8
40
12
4
1
1
0
23
1
8
16
16
8
32
4
4
8
0
0
0
2
18
16
2
1
1
16
4
4
8
16
16
0
8
1
8
16
16
16
16
8
8
8
0
0
0
1
1
1
14
8
8
0
8
8
0
0
0
8
8
8
0
8
8
8
8
8
8
16
16
16
20
0
8
8
8
8
8
0
8
16
4
4
4
20
16
16
16
0
0
0
16
8
8
4
8
8
32
32
32
0
2
40
8
8
16
16
8
0
0
4
8
16
0
4
4
4
4
4
8
8
8
8
16
16
8
8
8
16
16
16
8
8
32
32
16
0
16
16
16
16
8
32
32
26
16
0
0
0
0
16
0
8
8
8
16
16
1
8
0
0
1
1
1
1
25
16
16
8
8
8
8
8
8
8
0
0
0
0
4
4
0
0
16
16
16
0
0
0
0
0
17
1
8
8
8
8
8
16
16
4
4
0
24
8
0
0
0
16
16
16
0
9
11
0
0
0
0
0
8
8
8
0
16
16
9
0
0
0
0
0
8
4
4
2
6
6
39
17
32
16
16
16
0
0
13
13
8
8
8
4
4
4
8
24
24
0
0
0
0
25
0
16
1
8
8
0
0
2
0
0
0
4
4
4
20
0
8
8
4
16
8
0
0
0
4
20
0
16
16
16
16
2
2
32
20
20
16
16
16
8
16
16
16
16
2
2
2
2
2
24
24
0
0
0
8
8
0
8
8
8
16
16
4
4
4
1
0
8
5
16
16
0
0
0
0
0
16
16
16
0
16
0
1
2
2
2
8
8
8
0
32
4
12
4
8
8
24
16
1
32
32
16
16
0
0
0
24
16
32
16
16
16
57
57
2
2
8
2
0
32
32
32
1
5
1
1
1
1
0
0
0
0
0
0
0
0
0
0
8
0
40
8
8
8
0
0
0
20
8
5
6
1
1
4
4
4
4
4
4
16
16
16
16
17
0
8
44
44
2
2
40
8
32
4
8
4
4
4
4
4
8
32
32
40
0
0
4
0
4
8
8
16
16
16
8
8
0
49
49
49
49
16
16
8
8
0
8
16
8
9
9
32
0
0
0
0
0
0
0
0
8
8
4
12
4
4
4
4
4
8
16
16
16
16
1
1
0
0
4
8
4
0
0
2
4
4
8
16
0
16
16
16
8
8
8
0
0
8
8
8
8
8
0
16
8
8
8
2
8
8
8
0
0
2
4
8
6
6
6
6
36
1
1
0
16
1
1
1
0
2
2
2
2
2
8
8
8
2
2
2
0
0
2
0
0
8
28
4
8
8
16
4
16
16
0
4
0
0
8
8
0
0
0
3
3
3
0
1
5
0
4
4
8
2
24
16
8
8
8
0
0
0
16
16
8
8
20
20
20
8
8
8
8
8
0
0
24
16
24
16
16
8
8
8
0
0
24
8
2
0
0
0
16
3
3
0
0
0
0
9
9
1
1
1
8
8
0
8
28
0
16
16
8
8
8
16
0
8
8
0
8
0
0
16
16
0
0
2
8
4
4
16
16
16
16
16
18
20
2
4
8
0
16
16
16
0
0
0
0
8
8
8
4
16
0
0
29
29
29
0
0
4
12
8
8
0
0
8
0
0
0
0
8
8
8
16
8
16
0
8
8
8
8
8
8
2
8
0
0
0
0
0
16
0
0
0
0
0
2
2
2
0
0
8
0
0
0
0
0
0
8
5
0
0
2
2
2
24
24
8
8
0
4
4
16
1
0
8
8
8
33
33
4
8
8
8
16
16
2
2
2
0
17
6
0
32
0
0
0
0
0
0
4
4
4
4
4
8
1
1
1
1
9
9
8
8
8
0
0
16
10
10
10
1
1
1
1
16
16
16
16
16
16
16
0
16
16
4
0
2
2
2
0
0
0
16
16
16
0
8
16
0
14
16
8
8
0
8
2
24
24
0
4
4
24
24
8
8
8
8
8
8
8
8
8
8
16
16
16
32
32
32
8
8
8
16
16
0
0
0
1
16
8
8
16
0
16
16
16
16
0
0
0
0
8
16
16
0
8
8
8
8
0
8
8
0
4
0
0
16
16
4
4
4
8
18
2
0
0
2
2
20
4
0
0
0
0
0
8
0
8
0
8
8
8
8
8
8
0
0
1
1
0
8
8
0
2
6
8
13
8
0
0
8
8
16
16
0
0
0
16
16
8
16
16
16
16
16
16
16
16
16
8
8
0
4
4
4
1
0
4
4
4
4
4
4
4
9
9
9
9
9
9
9
9
9
9
9
9
8
8
16
16
4
4
4
0
16
16
0
8
16
1
8
32
32
32
32
32
32
2
8
2
2
24
0
24
8
0
0
0
32
1
8
20
16
0
8
8
16
16
8
48
48
48
16
16
8
16
16
8
8
32
8
8
16
16
0
0
8
2
2
8
4
24
0
0
8
8
8
1
1
16
8
8
16
0
0
1
1
8
8
4
16
22
22
8
8
8
8
8
0
0
8
8
8
0
0
0
4
4
0
0
8
24
16
8
16
16
16
8
0
0
0
1
1
1
1
1
9
1
1
0
1
16
8
60
8
8
8
40
0
1
1
8
2
2
8
8
0
4
8
8
8
8
8
8
2
2
8
8
8
8
8
8
19
16
8
8
8
8
8
8
8
1
1
0
0
0
16
16
1
0
40
20
20
4
4
4
4
17
16
16
1
1
8
8
0
8
8
8
8
16
16
16
16
16
2
2
8
8
0
24
24
8
0
8
8
8
1
0
25
25
1
8
8
16
16
16
4
2
18
4
0
8
35
35
0
0
8
8
34
34
8
8
0
8
8
1
0
1
1
8
8
0
0
0
0
8
0
0
16
0
12
8
0
16
8
16
16
0
6
6
6
8
24
24
24
0
8
4
4
32
0
19
8
8
0
1
1
1
1
2
0
0
8
8
8
8
8
8
0
0
0
2
2
16
16
20
20
0
0
8
32
16
16
16
0
0
0
4
0
0
16
1
8
8
0
0
0
0
40
8
8
8
16
32
0
0
0
2
20
12
8
0
0
16
0
8
8
16
0
41
1
8
8
0
0
0
0
0
0
8
16
8
8
8
8
8
0
2
2
2
2
0
0
24
16
16
16
0
0
16
4
4
32
32
32
0
8
0
0
4
4
16
16
8
8
8
32
41
32
32
4
20
4
4
4
10
8
0
0
16
16
16
16
0
0
0
0
8
0
0
0
0
8
0
0
17
1
16
16
20
0
16
16
16
0
0
1
1
4
0
0
0
0
0
16
16
16
2
2
2
4
8
16
16
8
8
8
8
8
8
0
0
8
8
0
0
8
16
16
24
8
8
0
8
8
8
56
56
56
56
0
0
0
1
28
8
2
2
8
8
8
8
32
0
8
16
16
16
16
16
16
16
16
16
8
16
0
32
8
2
2
8
0
16
16
16
16
9
0
0
16
16
8
8
8
0
4
12
4
4
0
0
8
8
4
4
8
2
8
2
24
24
4
16
4
0
1
0
16
8
8
0
0
8
0
0
0
0
0
0
0
4
4
4
4
0
0
0
0
0
0
0
0
8
8
8
8
8
4
4
4
4
20
4
4
0
0
8
8
2
0
0
0
1
1
1
2
16
16
25
16
16
0
16
16
16
16
16
16
32
16
16
16
16
16
4
0
16
16
16
16
16
0
0
0
32
0
8
8
8
8
8
0
0
0
16
16
16
16
16
6
6
6
6
6
8
0
16
1
1
8
16
30
2
2
0
8
1
0
0
8
24
8
34
34
16
8
8
8
8
8
1
1
1
8
0
4
8
8
0
0
2
10
0
0
0
16
0
0
8
8
16
0
0
2
8
0
16
2
0
0
0
24
24
16
16
16
16
0
1
1
1
12
4
12
4
4
4
0
2
2
2
0
0
0
0
16
16
9
9
0
16
16
8
0
0
0
10
8
8
2
0
0
0
0
0
8
0
0
0
0
0
0
0
24
1
8
8
8
0
8
8
32
32
16
8
1
8
8
8
8
16
16
2
0
0
0
0
0
0
1
1
2
2
8
4
0
0
0
0
4
4
4
0
0
8
8
8
8
8
0
16
16
0
0
0
32
8
8
8
0
9
4
4
0
0
0
0
0
0
0
8
57
57
8
8
8
8
8
8
8
0
0
0
0
0
16
16
0
8
0
0
16
16
0
0
16
16
0
16
16
8
8
8
8
8
8
16
4
0
0
0
16
16
16
16
0
16
0
8
2
2
2
2
2
18
18
16
4
4
1
0
8
0
0
2
2
2
2
8
8
16
16
16
4
4
4
4
4
4
0
8
8
0
16
16
19
19
19
19
20
20
20
20
20
40
40
8
4
4
9
9
0
32
32
32
32
8
2
0
2
2
12
8
8
8
0
0
0
1
2
2
0
0
8
8
8
8
16
16
8
8
0
2
2
0
0
0
6
6
0
8
8
8
2
8
2
8
4
4
4
8
0
0
0
16
16
16
16
8
2
2
8
0
9
8
8
4
8
2
2
2
4
4
4
4
4
4
8
8
8
10
8
8
4
4
32
32
8
8
0
8
16
8
16
16
16
48
49
8
1
8
16
8
16
16
16
24
24
0
28
0
0
8
8
8
8
8
2
4
4
4
8
8
4
0
0
0
16
16
1
1
1
1
0
1
1
1
8
8
8
1
0
8
8
16
16
16
16
16
0
0
8
8
8
0
0
0
8
4
24
16
16
2
2
0
0
0
32
32
32
0
0
8
8
8
8
8
8
1
5
2
2
16
2
2
8
17
12
24
24
16
8
8
16
0
0
0
0
0
0
0
8
0
16
16
16
16
24
24
24
0
1
1
1
1
1
1
1
8
8
0
0
8
16
16
16
8
0
0
8
8
8
8
56
0
0
8
8
8
8
0
0
0
16
8
8
8
8
32
32
32
0
0
0
0
0
4
4
6
0
0
0
0
0
8
8
8
8
4
4
0
8
0
0
16
0
0
16
9
8
0
16
16
16
0
8
40
8
0
16
16
16
16
16
16
1
40
40
40
40
40
8
8
0
0
6
6
1
0
0
0
0
0
8
0
8
8
8
0
8
0
8
8
8
0
0
4
4
6
8
16
8
0
16
8
8
4
16
16
0
16
16
16
16
16
0
1
16
16
16
16
16
16
16
0
0
0
0
2
0
4
0
0
16
16
16
16
16
16
0
0
4
8
8
8
16
0
1
0
0
2
2
8
8
8
0
0
0
8
8
8
16
16
16
8
32
8
16
16
8
16
3
3
8
8
8
8
0
0
16
16
16
17
17
0
8
1
1
1
1
1
1
8
8
8
16
16
8
8
8
8
8
8
24
0
0
0
16
16
16
16
0
4
1
16
0
0
4
4
8
8
0
3
32
32
8
0
0
0
8
20
16
8
8
8
8
16
8
8
8
8
4
12
16
1
16
4
8
0
0
8
8
8
0
3
10
2
16
18
4
0
3
4
16
8
1
1
19
16
8
17
17
16
24
17
4
4
0
8
8
8
8
0
4
4
4
0
0
0
0
0
8
57
0
0
16
16
0
0
8
0
0
0
8
4
4
4
4
4
4
4
4
0
16
8
8
2
0
0
16
16
16
13
0
1
1
1
1
0
8
8
8
2
2
0
32
32
32
4
4
1
1
0
2
2
2
0
0
0
8
8
8
9
9
9
0
0
4
4
8
0
0
0
0
1
56
8
8
8
8
8
0
0
0
8
8
8
20
16
16
8
8
28
28
24
4
0
8
2
16
16
16
0
0
20
20
0
0
48
4
4
16
16
0
0
0
0
4
4
1
1
1
1
16
0
16
16
16
16
16
16
8
8
8
1
1
1
0
8
4
4
8
8
8
0
16
16
16
8
8
20
20
20
8
8
8
8
8
0
0
1
1
1
8
8
0
2
30
30
30
5
8
0
0
0
0
8
8
8
16
0
2
0
8
8
8
8
1
8
16
0
2
2
0
8
24
24
4
8
8
0
0
8
8
16
16
16
16
16
4
5
5
8
8
12
12
12
0
0
16
8
8
8
8
8
0
4
4
4
16
17
0
0
18
18
1
0
0
8
8
8
8
25
25
0
8
8
8
8
8
0
0
2
0
0
1
32
56
16
0
10
10
2
0
4
4
4
4
0
0
0
0
1
1
1
1
1
1
48
48
48
48
8
8
0
32
32
0
4
9
16
16
20
20
8
8
8
0
19
19
19
0
20
8
8
8
0
0
0
0
0
8
8
8
0
0
0
0
0
16
16
0
0
0
8
8
8
8
8
16
16
8
8
8
0
16
16
0
1
8
8
0
8
0
0
8
2
18
18
0
8
0
0
0
0
24
8
8
0
1
1
1
1
24
32
32
32
16
16
16
16
16
0
16
16
24
24
24
24
24
0
0
0
24
24
0
0
0
2
2
2
17
0
0
10
8
16
16
16
16
16
0
8
8
0
0
4
4
0
0
2
2
8
6
8
8
24
24
0
4
4
8
0
0
8
16
1
1
1
32
32
24
8
16
0
4
4
4
8
0
0
0
0
0
8
8
24
0
0
0
0
42
1
1
8
1
1
8
8
1
1
1
16
16
0
0
0
0
8
0
0
0
8
8
8
0
0
0
4
8
8
8
8
16
4
4
0
0
0
0
0
0
0
8
0
12
1
8
1
1
1
4
4
4
4
4
4
4
4
25
25
0
0
0
0
0
0
2
2
2
2
8
8
8
8
2
2
0
2
0
0
1
1
0
0
0
0
25
8
9
8
8
8
0
0
8
8
8
8
8
8
8
8
0
0
24
4
28
24
1
1
0
8
8
8
0
16
16
16
0
33
0
8
8
0
0
0
0
0
0
8
8
4
4
4
5
8
8
8
0
0
0
0
0
0
8
24
2
4
0
16
16
16
0
8
8
8
8
16
8
0
0
0
0
0
0
0
0
0
16
17
16
16
16
24
4
4
4
16
8
8
16
16
16
0
0
0
8
0
18
18
0
0
0
8
16
8
8
8
8
0
0
0
17
0
8
0
0
4
8
0
1
1
1
1
0
0
0
0
0
32
32
32
32
0
0
8
8
24
16
0
0
0
8
8
16
16
1
1
1
1
1
1
1
1
0
0
0
22
8
8
8
8
3
16
16
1
1
1
0
0
0
0
0
16
0
8
0
16
16
0
12
8
0
6
21
1
33
16
16
0
0
8
1
1
8
18
16
2
2
39
8
16
16
16
4
8
8
8
0
16
17
4
0
0
0
16
8
8
8
4
0
0
2
16
8
1
8
8
0
0
0
0
4
0
8
0
25
16
19
8
8
16
8
5
4
20
20
20
20
20
0
0
16
16
16
8
16
16
8
8
8
8
8
8
8
8
8
0
8
0
4
4
0
8
8
1
0
0
0
0
0
4
4
4
4
4
0
0
0
0
0
1
2
16
16
16
16
8
8
8
8
6
8
0
0
8
8
4
4
4
49
1
1
6
8
0
0
0
24
24
0
4
0
0
4
4
4
8
1
0
0
0
0
8
0
0
0
0
0
16
8
8
8
2
0
16
1
1
8
8
8
0
0
8
8
8
8
8
8
0
0
8
8
16
16
8
8
2
8
8
4
0
0
1
1
9
8
8
8
8
8
8
0
4
0
0
27
3
3
3
0
0
0
0
6
6
0
16
16
4
12
12
4
8
8
8
8
8
8
0
1
1
32
4
8
8
8
8
0
8
8
8
0
16
16
16
16
16
16
24
24
24
32
4
4
8
8
0
0
0
3
1
19
1
0
16
16
1
1
16
16
0
0
0
8
12
28
12
12
2
0
0
0
0
16
8
0
0
0
32
16
16
16
16
16
0
8
0
16
16
8
8
0
0
9
0
0
16
8
8
4
0
8
8
16
16
16
16
1
0
14
14
14
8
0
0
0
2
2
0
8
8
16
21
24
8
8
8
8
6
8
1
1
1
16
0
16
0
0
0
8
16
16
0
8
8
8
8
8
8
16
16
16
16
16
16
16
8
8
8
0
0
8
16
16
16
16
16
16
0
8
8
0
8
8
8
8
8
1
16
16
24
8
16
34
32
32
8
4
0
0
0
0
0
17
17
1
1
2
8
8
16
16
16
0
0
0
16
8
17
2
0
8
4
4
4
16
16
2
0
0
4
4
8
8
8
24
24
2
2
1
0
0
8
0
8
8
8
8
0
0
8
8
8
3
3
3
0
0
16
8
8
4
0
0
0
0
0
0
8
8
8
4
4
4
4
16
16
16
16
16
16
16
0
0
8
8
8
8
8
8
8
8
8
8
18
18
0
0
0
0
0
16
16
0
2
2
32
32
32
4
32
4
0
0
8
8
8
8
16
8
16
16
4
16
2
8
8
0
8
8
8
0
0
8
8
4
4
4
4
16
0
8
8
16
0
4
4
20
16
16
16
16
0
0
0
18
50
8
8
8
0
0
4
4
4
0
0
0
0
0
0
0
0
1
16
16
16
16
0
16
0
16
16
17
16
16
32
32
0
16
0
0
0
0
8
16
0
0
0
4
4
4
4
4
4
8
28
28
16
0
0
0
24
24
1
1
0
0
16
4
4
8
0
0
0
0
8
8
8
4
0
0
17
0
8
8
16
16
16
16
16
16
16
16
16
0
10
0
16
32
32
8
8
8
16
16
0
0
0
0
8
8
0
8
24
26
26
26
8
0
0
0
0
0
0
8
16
0
8
8
8
0
0
0
16
16
16
16
0
8
0
0
0
0
0
0
32
0
0
8
8
8
8
8
8
20
1
1
4
4
16
8
8
8
8
16
16
3
32
34
2
2
2
16
16
16
16
16
16
1
1
1
1
16
16
9
0
0
0
0
0
16
16
0
0
20
0
17
0
0
8
1
1
1
1
16
16
8
8
8
16
8
0
4
16
8
2
8
0
8
8
8
0
0
0
1
0
4
16
16
0
24
24
24
8
8
8
8
16
0
33
33
33
0
0
0
2
0
0
0
16
0
33
33
33
33
33
33
33
8
8
8
8
8
17
0
0
0
0
2
2
0
0
0
0
0
0
0
8
28
0
8
8
16
16
16
8
8
8
8
8
16
0
0
0
0
4
4
4
4
4
4
0
0
0
16
8
8
8
8
8
8
8
37
32
32
32
32
8
8
8
0
8
8
8
8
8
0
0
0
0
0
0
8
8
14
0
2
2
2
0
8
8
8
8
8
24
24
26
24
24
8
4
4
4
4
17
17
17
16
16
16
0
0
16
16
16
16
0
0
12
8
32
4
0
22
22
0
0
4
4
4
12
8
4
0
0
0
8
0
8
8
0
12
12
1
1
8
0
16
16
4
12
4
0
16
8
8
8
8
8
8
6
6
6
6
0
0
0
0
16
16
1
1
24
0
0
0
16
8
8
8
8
8
0
0
1
24
16
0
1
1
1
1
1
1
8
2
2
0
12
12
4
2
2
2
0
0
0
8
8
0
0
0
0
0
0
0
0
8
8
8
1
1
1
16
8
8
1
0
10
2
2
0
20
21
20
8
0
0
16
16
16
8
8
8
0
8
4
4
32
25
24
24
24
8
8
8
16
0
2
2
2
2
0
0
18
18
0
0
4
0
8
16
16
0
16
16
16
0
0
10
26
8
0
0
4
4
4
4
16
0
0
41
41
41
0
24
24
8
8
0
16
16
0
8
16
0
0
8
0
1
1
1
8
24
0
0
2
0
0
0
0
8
8
8
24
16
16
16
0
1
1
0
16
16
18
4
1
1
0
2
2
2
2
4
4
4
8
8
0
0
0
8
8
16
16
16
16
24
0
0
0
0
0
0
8
8
8
8
17
16
8
16
16
8
7
7
7
16
0
0
32
0
0
0
8
8
4
4
4
4
4
1
1
0
17
24
1
1
0
0
0
16
16
8
40
40
8
8
8
0
10
10
16
2
2
10
8
16
16
16
22
22
8
0
16
16
16
16
16
20
20
0
0
8
16
16
0
8
0
8
0
8
0
4
32
8
40
40
0
16
4
4
4
4
0
16
0
8
16
16
16
0
5
8
4
4
4
8
16
16
16
8
8
16
16
16
8
1
4
0
8
8
8
8
2
2
16
16
0
4
4
4
4
4
4
1
8
16
8
16
16
8
8
8
8
8
2
2
2
0
0
0
0
0
0
24
16
24
8
8
4
0
0
0
0
0
8
8
8
8
8
8
8
16
8
8
8
8
0
0
8
8
4
4
0
0
8
36
36
0
0
0
0
4
4
4
4
4
4
8
8
0
0
2
8
8
16
0
0
4
20
20
8
8
8
8
4
2
0
0
33
33
33
0
0
0
0
17
8
8
8
18
18
18
0
0
8
8
16
16
16
16
8
8
0
2
8
26
26
16
16
16
8
1
16
16
16
8
8
0
8
8
26
26
16
1
2
8
8
8
8
8
8
8
0
8
8
0
16
16
40
40
0
16
0
0
8
16
0
0
2
0
0
2
2
2
2
0
8
8
8
8
8
0
0
18
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
4
4
32
8
4
4
0
4
4
4
0
1
1
1
1
1
1
1
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
1
1
16
16
16
8
5
5
16
8
4
2
2
8
0
16
8
0
10
8
8
9
9
9
0
16
16
16
16
8
8
8
8
8
4
0
0
0
8
8
16
8
8
16
5
8
8
4
4
0
0
0
32
32
24
24
8
0
0
16
1
1
8
0
16
0
0
8
8
8
8
32
0
8
8
0
1
1
1
1
1
1
1
8
16
8
8
8
8
0
0
0
0
17
17
1
1
1
1
1
0
0
0
33
33
33
0
0
4
8
25
16
16
8
16
2
2
16
16
24
16
16
16
56
8
8
8
8
0
0
0
17
17
32
32
32
32
32
32
1
3
3
1
8
16
8
8
32
32
20
32
2
2
8
18
24
24
24
8
4
4
4
4
8
8
8
8
8
8
0
0
0
0
20
0
16
12
21
1
3
1
2
2
17
0
8
8
1
1
1
0
0
0
20
16
40
9
9
1
8
0
16
48
48
16
16
16
8
8
8
2
2
2
8
0
0
8
8
8
8
8
4
4
2
8
8
8
18
16
16
0
4
4
4
7
7
0
0
0
0
0
0
0
8
16
0
0
32
16
4
0
16
16
16
16
1
1
0
0
53
1
16
8
8
0
0
8
8
0
0
52
0
0
0
0
8
8
8
8
8
1
1
0
16
16
16
16
16
0
16
16
16
2
16
16
16
16
2
0
0
8
0
0
0
0
1
4
24
0
16
0
0
8
8
16
1
1
1
1
1
1
0
0
0
0
0
8
8
8
16
16
16
8
8
12
12
8
4
4
8
24
8
8
8
32
32
32
0
1
1
1
1
0
8
8
16
16
0
16
4
8
8
8
8
16
16
8
8
8
1
8
8
8
16
16
16
8
8
8
0
0
32
36
0
2
2
16
2
2
0
8
8
8
0
8
1
1
0
0
0
16
16
16
16
16
24
8
16
8
1
0
0
0
0
32
32
8
1
1
1
8
8
8
8
16
8
8
0
8
3
0
2
8
24
0
16
16
8
8
2
0
0
2
0
0
8
0
0
8
0
1
16
16
16
16
0
0
2
18
2
16
16
0
32
32
0
0
0
4
0
4
16
4
16
16
4
16
16
16
16
16
8
0
0
0
36
2
38
0
0
16
16
0
32
16
16
0
2
8
0
0
0
0
4
4
16
16
8
0
1
10
0
8
8
8
8
0
0
0
16
16
0
0
0
8
4
24
24
24
0
28
8
0
16
16
0
34
34
2
2
2
2
8
8
8
16
8
8
0
0
0
8
8
1
1
1
1
16
16
16
16
0
0
8
8
42
8
8
0
0
0
8
56
16
16
16
0
0
0
0
0
8
8
16
16
16
16
16
0
0
16
16
0
2
2
2
4
36
0
0
0
8
2
0
16
16
16
22
4
16
16
16
0
8
8
8
8
0
0
0
16
16
8
0
0
16
0
4
0
0
16
6
6
3
8
8
0
12
5
8
8
8
6
0
0
0
0
4
0
4
4
4
4
8
8
8
2
2
0
0
0
0
1
2
2
8
16
16
16
16
16
0
4
4
4
0
0
0
16
8
8
0
16
16
16
6
6
24
24
0
0
8
16
16
16
8
0
8
5
8
8
24
16
16
24
8
8
16
16
16
16
16
16
0
8
2
21
21
21
0
0
8
0
1
1
8
8
0
0
40
57
0
0
0
0
0
1
5
8
16
16
16
0
0
0
0
4
4
6
6
8
16
16
8
8
16
16
16
0
0
0
0
8
24
40
0
0
8
0
10
2
0
24
24
8
8
8
8
8
8
8
8
0
16
0
0
8
8
0
0
0
0
16
8
8
8
8
8
0
16
16
0
0
8
8
8
16
4
4
8
8
20
20
6
0
16
16
16
2
2
2
40
19
0
4
0
1
1
8
8
8
16
0
0
8
0
8
8
7
0
0
1
1
1
4
5
4
4
4
0
0
0
16
16
2
2
2
20
4
32
32
16
16
0
8
8
8
8
8
8
8
8
8
8
8
8
16
8
8
8
8
8
8
8
8
8
8
8
8
10
10
10
4
12
16
0
18
24
8
16
46
6
14
20
32
40
41
41
8
8
0
0
16
8
16
16
16
0
0
0
1
32
32
32
0
0
8
8
8
8
16
0
0
32
4
4
4
16
16
16
16
16
24
24
24
24
33
0
16
16
4
16
8
16
16
16
0
4
4
8
8
4
4
16
16
8
0
1
8
8
24
8
8
0
0
0
16
0
0
0
8
8
8
8
4
4
2
2
2
8
12
0
4
4
4
4
0
8
8
8
8
8
8
8
4
0
8
4
4
4
4
4
4
4
4
4
4
8
8
0
16
0
0
0
8
8
16
8
8
0
16
8
0
8
32
0
9
8
0
16
8
0
0
0
2
2
2
8
8
4
16
16
8
8
8
0
0
16
16
16
16
0
1
1
1
1
8
8
4
8
4
0
20
17
8
8
0
0
8
8
0
0
0
0
8
17
17
0
4
0
8
1
1
48
32
2
16
0
8
8
4
4
8
0
38
38
0
0
16
1
6
6
2
18
16
48
0
0
8
0
0
0
0
8
8
24
0
2
2
2
2
1
1
8
8
8
8
8
1
1
1
1
1
1
32
1
4
0
0
0
6
6
6
6
8
8
8
2
16
16
8
16
49
4
4
13
13
13
13
0
8
8
8
0
8
8
8
8
0
0
20
16
16
0
16
16
0
0
8
16
16
16
16
8
8
0
16
16
0
1
0
16
0
0
0
8
0
8
8
4
4
4
1
1
1
20
24
24
24
24
16
32
32
0
0
1
8
8
8
16
4
1
1
1
0
0
0
0
8
8
0
8
8
8
16
0
0
0
0
16
8
29
2
16
16
16
16
2
0
0
0
1
1
32
8
0
8
8
8
8
8
8
8
8
8
8
8
8
0
0
8
4
4
4
4
4
8
8
8
8
8
8
1
6
4
4
6
16
0
1
0
0
0
0
0
0
0
8
8
16
16
16
16
16
4
4
4
4
0
0
0
0
8
8
10
10
10
10
0
8
8
2
0
16
16
16
16
8
8
2
8
8
8
8
8
8
16
8
8
8
8
8
16
16
16
8
24
24
8
8
18
8
8
8
8
8
8
16
17
16
16
8
8
8
8
0
20
20
0
0
8
0
8
8
8
1
0
0
0
0
0
0
0
0
16
0
0
8
8
8
8
0
8
8
8
0
16
8
8
0
12
12
12
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
24
17
16
17
0
0
0
0
0
0
1
1
3
0
0
0
8
8
8
2
1
16
0
2
2
2
0
0
8
8
0
0
0
0
16
16
2
8
8
8
8
8
0
0
0
32
16
32
32
0
0
0
16
16
16
16
16
8
8
8
8
8
0
0
0
0
16
16
4
8
8
16
16
16
16
8
8
12
12
0
0
8
18
1
1
1
2
8
0
0
4
0
0
16
16
0
8
0
32
32
32
1
1
8
32
0
6
0
8
16
16
2
4
0
0
0
0
0
0
4
0
0
0
0
0
0
0
1
8
4
4
4
8
8
0
1
1
8
0
57
0
8
0
0
8
8
8
8
8
8
8
8
8
16
0
0
0
0
26
16
8
0
0
0
0
0
4
0
16
16
16
8
8
0
2
2
2
24
8
8
16
16
16
16
54
1
1
1
8
8
0
8
5
8
4
0
1
0
0
0
0
16
16
8
16
16
16
3
2
32
0
24
16
0
0
0
0
41
41
41
41
0
0
16
16
8
11
11
0
16
4
4
4
0
0
2
0
0
0
16
1
9
0
0
8
16
16
4
4
8
8
8
8
8
8
8
8
8
4
0
0
40
4
0
9
0
16
0
0
0
1
1
1
8
41
41
41
0
0
16
0
0
0
0
0
0
24
0
0
0
16
16
24
2
0
24
0
0
8
8
8
8
4
4
4
0
0
40
40
16
16
16
16
0
0
24
0
5
5
5
0
0
0
8
0
8
0
0
1
17
9
8
16
8
1
0
0
8
12
8
8
8
0
0
0
0
0
44
36
44
0
0
16
16
8
16
8
0
0
0
8
8
0
16
2
2
2
0
4
4
1
5
0
0
0
0
0
0
0
0
0
4
0
0
0
2
8
2
28
28
20
8
16
16
1
1
16
16
16
4
4
4
0
0
0
16
16
16
0
0
0
16
17
8
0
0
4
4
4
4
16
16
16
16
0
2
9
8
1
8
8
8
2
2
2
0
0
0
0
2
2
2
8
20
8
10
8
8
0
0
32
0
0
18
4
4
8
4
16
0
8
8
8
8
8
8
8
8
8
0
0
8
2
2
2
11
8
17
16
16
16
16
0
0
12
0
0
0
4
4
4
4
4
16
16
16
0
8
8
8
0
8
8
16
16
16
8
8
16
16
8
2
8
3
3
2
0
0
0
8
8
0
0
0
0
8
8
8
8
8
8
0
32
16
16
20
16
2
2
16
8
0
8
2
2
2
2
2
2
6
8
8
8
8
8
8
24
24
24
0
8
8
8
16
0
0
8
12
12
0
0
8
24
16
16
16
4
4
0
0
0
0
0
1
8
8
40
8
8
8
8
8
8
8
16
16
16
16
16
8
25
1
1
8
32
0
0
8
8
8
8
16
0
0
0
32
8
16
0
0
8
8
32
8
8
8
8
16
0
8
4
4
8
0
8
0
16
8
8
13
1
16
16
16
0
0
12
0
0
8
10
8
24
16
16
0
0
8
8
0
16
9
8
0
1
11
0
24
0
0
0
0
4
4
0
48
16
16
16
16
16
16
16
0
0
2
16
16
8
0
25
32
0
0
0
4
0
8
8
1
16
16
16
16
16
16
2
0
0
16
16
16
16
24
24
24
24
24
24
24
24
24
8
40
4
4
0
1
0
2
2
8
1
4
0
0
0
4
4
4
4
12
4
8
0
5
5
4
4
8
32
32
8
8
8
8
8
0
8
8
32
2
16
0
0
0
8
8
20
20
20
20
20
20
20
20
20
20
20
8
40
16
16
16
8
8
24
8
8
8
0
16
4
4
4
16
16
8
8
8
2
16
32
32
32
8
8
8
8
8
16
0
8
1
16
8
16
20
0
0
6
0
4
0
5
4
4
4
4
4
8
8
8
8
8
17
0
20
27
27
2
0
0
38
2
38
8
8
8
8
17
1
16
8
8
8
8
1
0
8
8
8
8
34
34
8
8
8
8
8
18
0
17
0
16
16
8
8
4
4
4
4
4
20
4
4
16
16
16
0
8
8
24
8
0
48
0
0
32
0
24
8
8
0
0
8
8
8
8
16
16
8
6
16
16
0
0
8
8
2
2
2
32
32
32
40
2
2
2
24
24
8
2
1
8
8
8
0
0
8
28
1
1
0
0
24
24
24
32
0
9
9
9
9
0
8
16
4
0
2
0
1
8
0
16
16
16
0
0
0
8
0
0
0
0
0
0
16
16
16
16
16
8
8
8
8
8
8
8
4
4
4
0
8
16
2
4
8
0
0
8
8
8
16
16
16
16
16
16
8
8
8
8
4
8
17
1
2
32
32
16
8
8
16
8
8
8
8
0
0
0
0
0
0
0
4
16
1
1
17
16
1
16
57
24
16
0
0
16
8
8
4
0
0
8
1
1
1
16
16
2
2
1
1
1
0
16
16
0
4
0
2
8
8
0
1
1
1
45
8
8
1
2
16
16
0
8
0
8
0
8
8
1
33
8
16
16
16
16
16
0
4
4
4
4
8
8
1
0
8
8
8
8
8
0
0
0
2
2
1
3
0
24
8
0
16
16
16
16
0
0
0
0
0
0
7
16
1
0
8
8
8
8
3
1
0
0
8
8
8
0
0
4
16
16
32
0
32
32
32
32
32
0
8
8
16
16
16
18
16
20
8
12
12
0
8
8
8
8
8
8
8
8
16
16
16
0
16
16
16
16
16
16
0
2
2
8
4
0
8
8
8
1
16
8
8
4
0
16
16
16
16
16
4
24
24
24
8
8
16
16
8
1
8
8
1
24
24
2
32
32
32
16
8
8
8
2
8
8
8
0
4
8
16
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
0
0
0
0
8
4
0
0
8
32
0
0
8
8
8
8
8
8
2
8
0
18
1
5
16
16
8
16
0
16
16
1
8
1
0
0
4
4
0
8
9
9
0
8
8
0
0
8
8
27
8
8
4
8
16
4
16
16
9
9
9
9
4
4
28
0
8
4
4
4
8
8
56
56
56
8
0
1
1
8
8
8
8
0
8
8
8
0
0
16
0
0
0
16
16
0
0
8
16
16
16
8
8
8
8
8
0
0
4
0
0
2
16
18
18
4
0
24
8
8
8
0
16
16
16
0
8
8
0
0
0
0
0
0
4
0
0
1
1
1
16
16
16
16
0
0
0
0
24
24
24
8
8
16
16
16
0
25
25
0
0
1
25
5
2
2
2
2
8
8
8
8
8
8
8
8
8
8
16
16
16
8
8
8
8
8
8
8
0
16
16
16
16
8
8
8
8
24
24
8
8
0
0
8
8
8
8
8
8
0
18
18
8
16
0
0
8
8
8
0
8
8
0
0
0
16
32
2
2
2
0
0
0
0
0
8
8
8
8
0
0
0
1
1
1
8
1
16
16
8
8
8
8
0
0
0
0
8
2
2
4
4
4
8
8
16
8
32
8
8
0
8
8
32
32
32
48
48
2
2
8
0
21
18
16
16
16
0
0
0
0
32
32
32
32
32
0
8
8
12
12
16
0
32
32
4
4
8
0
16
16
0
0
0
8
0
1
8
0
4
16
8
8
0
16
2
0
8
8
8
8
1
1
0
0
0
0
0
4
4
4
4
16
0
0
0
0
16
2
2
20
8
0
0
8
6
6
6
0
16
16
2
4
2
2
2
0
0
0
8
8
8
16
24
0
2
2
8
8
22
24
24
24
1
1
1
0
0
0
0
0
0
8
8
29
24
8
0
0
0
0
8
9
9
0
24
8
8
0
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
2
8
2
2
2
0
0
20
16
40
8
8
8
8
0
4
8
8
8
8
2
10
2
0
0
0
16
16
1
1
0
8
8
8
16
16
16
8
8
16
4
4
0
16
16
0
16
16
0
16
0
0
8
8
32
8
8
8
16
1
1
16
32
0
0
9
0
8
0
0
0
36
4
4
16
0
8
8
16
16
16
4
4
0
25
1
8
16
0
16
16
2
8
8
8
8
8
8
16
16
24
8
8
16
8
1
1
8
8
8
8
8
20
4
0
0
16
1
1
0
16
16
4
0
0
0
0
0
0
0
8
16
0
0
0
0
8
16
16
0
0
0
0
8
4
6
4
8
8
8
8
8
8
8
8
4
8
8
8
8
6
6
2
2
0
8
8
8
0
8
12
0
2
33
33
16
16
16
16
16
16
16
0
8
4
4
4
4
21
0
0
0
1
33
1
16
16
16
16
16
4
4
4
8
8
8
4
1
1
1
0
2
0
16
8
8
8
8
4
4
4
0
0
2
2
0
16
33
33
8
8
32
16
32
48
0
0
16
8
8
8
16
16
16
0
0
16
16
8
0
4
7
4
2
4
0
24
8
8
5
5
25
25
8
4
0
0
0
0
8
8
8
8
8
8
0
0
32
4
8
52
52
52
8
8
8
16
16
16
16
8
12
8
8
8
16
16
24
8
4
4
4
4
8
8
8
16
1
1
1
4
4
16
1
0
8
32
32
0
0
0
4
0
8
8
16
16
16
16
0
32
32
16
16
0
0
16
8
8
8
14
4
4
4
4
4
0
0
0
0
8
12
12
12
8
8
8
0
8
5
4
0
20
2
2
2
0
8
8
4
1
0
0
0
0
0
1
1
4
4
0
0
0
0
8
16
16
0
8
8
16
16
0
4
1
0
8
24
0
8
0
0
0
0
24
2
1
16
0
0
4
8
8
4
4
4
4
0
0
4
8
6
6
0
0
0
0
8
8
16
16
0
0
8
3
16
16
16
16
16
0
0
0
0
8
32
28
4
4
20
16
16
2
0
16
8
38
38
38
12
1
8
8
8
16
16
16
30
8
8
8
21
0
0
16
16
32
2
0
8
0
18
18
4
4
32
32
8
0
0
0
8
8
16
16
0
1
1
1
1
17
24
24
24
24
24
24
0
8
8
8
0
8
8
8
8
0
0
16
16
16
16
16
16
16
4
4
8
8
8
24
24
4
4
4
16
16
8
8
8
8
8
8
16
1
1
2
24
0
4
0
2
0
0
8
8
8
8
8
16
0
0
0
4
8
32
32
0
8
16
0
0
29
16
3
24
8
0
2
0
4
0
2
2
1
1
1
0
8
0
0
16
16
16
16
16
16
16
16
16
0
0
16
16
16
16
0
1
0
0
16
2
2
8
0
8
8
0
2
2
8
1
1
1
1
1
1
0
1
1
4
4
4
2
4
0
4
4
4
0
0
0
0
1
0
0
24
24
0
0
0
0
16
0
0
0
0
20
20
0
4
4
1
8
2
8
8
8
8
8
8
0
40
40
0
0
8
16
8
4
17
30
0
0
0
0
0
0
0
0
4
4
8
16
16
9
8
0
4
4
4
4
4
0
0
16
16
16
11
16
16
16
8
2
2
0
8
8
16
0
0
0
8
8
8
8
0
0
8
8
4
8
8
8
8
8
0
0
0
8
9
5
1
1
24
24
24
24
0
1
4
0
0
0
32
32
32
0
0
8
8
8
1
1
1
1
1
0
0
36
0
17
0
0
0
8
8
8
8
0
0
0
0
0
8
8
0
0
0
0
16
16
16
2
16
8
8
8
0
2
2
2
2
8
0
8
16
8
8
1
1
0
8
16
24
8
0
0
0
0
0
0
0
0
40
0
4
4
16
16
16
16
16
16
2
1
0
0
0
0
0
8
8
14
4
4
8
8
1
1
1
8
8
24
0
8
8
0
4
4
4
4
4
1
8
0
0
0
8
8
8
8
8
9
9
8
8
8
8
8
8
8
2
2
9
0
0
0
4
0
0
0
16
0
0
0
0
8
8
8
16
16
0
0
16
16
4
4
4
4
0
16
16
4
4
0
32
0
8
0
8
1
1
8
8
8
16
8
8
8
0
1
1
1
1
0
24
24
0
4
4
32
32
0
0
8
8
8
0
0
1
1
1
0
8
8
0
0
0
8
8
8
8
8
5
4
4
10
10
10
16
16
16
16
0
8
0
0
0
4
4
0
2
2
2
42
42
42
42
0
8
8
1
1
6
20
20
1
0
0
8
4
4
0
6
0
16
8
0
24
24
30
8
8
0
8
8
8
8
16
16
32
32
32
2
1
0
18
18
8
8
8
8
8
8
4
4
4
4
4
4
4
4
4
4
0
0
0
0
16
16
16
0
0
24
16
8
24
0
16
16
4
8
8
0
0
0
0
40
8
29
16
16
8
8
8
0
0
8
8
8
0
0
0
4
4
16
20
0
9
8
8
0
0
8
0
48
0
0
8
28
28
0
0
0
0
0
4
4
0
8
8
8
0
0
0
4
8
0
9
9
9
9
9
1
0
0
0
0
8
24
16
16
8
16
0
1
1
0
0
0
0
16
16
20
20
8
8
8
8
1
1
1
0
0
20
8
8
2
2
2
0
0
0
0
0
0
0
1
16
16
16
12
12
12
8
24
0
0
24
8
8
8
1
1
19
1
1
0
8
4
4
4
4
4
20
20
8
8
24
8
8
0
0
0
1
11
8
9
0
0
9
0
8
2
2
2
16
16
1
16
4
17
8
0
8
0
0
8
8
8
8
0
0
0
0
1
8
0
0
2
0
12
8
0
8
16
16
16
8
8
0
16
0
2
2
2
8
16
16
16
16
16
0
1
0
24
24
8
8
8
8
8
8
2
26
2
18
8
2
10
16
16
16
8
8
0
1
0
0
16
0
0
14
4
8
4
41
41
0
2
2
0
16
16
39
39
6
0
0
16
4
4
4
0
4
4
4
4
4
16
16
8
24
24
8
0
0
0
34
16
16
24
8
8
0
16
16
16
16
8
2
0
1
1
1
0
0
8
8
0
0
8
8
8
8
8
8
4
4
8
8
4
0
0
16
8
8
0
32
8
4
8
4
0
8
8
8
16
10
8
16
16
16
16
8
0
8
16
8
8
0
0
0
8
2
2
1
4
4
16
16
0
16
8
0
8
8
8
8
8
1
16
0
0
0
0
8
30
30
32
8
8
8
8
4
8
8
16
16
0
0
16
16
0
0
0
24
24
24
4
4
8
0
0
0
16
0
4
16
16
0
2
2
10
10
8
0
8
8
8
0
0
16
16
16
16
16
0
16
16
16
16
16
16
16
16
16
24
24
0
0
0
16
16
16
16
16
16
16
16
1
0
4
20
16
16
16
0
0
0
0
8
8
8
8
8
9
8
0
20
20
20
20
8
1
0
0
18
8
21
21
21
9
61
0
16
16
9
16
8
0
4
0
0
4
4
4
4
4
4
4
0
1
1
1
32
32
16
0
0
1
1
1
0
4
4
1
0
1
8
16
16
16
16
32
4
4
0
0
0
8
1
25
8
8
0
16
16
8
0
0
12
8
8
0
0
0
0
0
8
8
1
1
1
1
1
1
1
1
16
16
8
0
16
32
32
8
32
32
0
0
0
0
8
0
1
26
0
0
0
16
1
24
8
57
16
16
1
0
0
8
8
16
16
8
8
8
8
4
4
0
16
2
8
16
0
0
1
1
1
0
4
16
16
16
24
6
6
8
8
16
16
8
2
2
25
25
4
4
2
2
1
1
12
32
16
16
4
16
0
16
16
0
0
32
1
1
8
8
8
0
8
8
2
16
16
40
40
40
0
8
8
8
8
0
0
0
1
2
14
8
8
16
16
16
16
16
8
8
8
8
0
4
0
0
0
8
8
1
8
8
0
0
4
4
4
8
8
22
22
8
16
16
16
0
0
0
4
4
8
10
0
21
21
21
21
8
8
5
1
16
4
0
0
0
16
8
8
8
8
8
4
4
4
1
57
1
4
8
16
16
16
8
8
8
8
8
2
0
8
8
0
16
8
8
0
28
16
16
0
0
8
16
0
6
6
22
6
6
6
6
6
8
8
2
2
0
2
1
0
0
0
8
8
16
18
0
0
8
8
8
8
0
16
16
16
16
1
2
0
0
0
18
8
6
2
4
4
4
4
18
32
24
24
24
24
0
16
0
16
16
16
0
0
0
0
16
8
8
8
8
16
2
16
16
4
4
2
28
28
16
2
0
8
10
8
8
8
8
0
8
8
0
0
8
8
18
18
0
8
8
8
16
16
16
0
16
16
8
0
0
8
8
16
16
0
4
4
4
4
4
4
4
33
33
33
8
24
8
16
16
3
8
8
0
1
9
1
3
26
16
2
16
16
16
18
18
0
0
0
16
0
16
0
0
4
8
2
32
16
16
16
1
1
0
0
2
0
0
8
0
8
8
0
0
0
0
8
8
24
4
4
4
16
16
16
16
0
0
2
0
0
0
0
1
8
0
0
0
1
2
2
2
2
2
0
20
24
2
0
1
1
1
8
8
0
1
8
8
0
0
0
0
1
16
16
0
16
16
0
0
0
0
0
0
8
8
8
4
4
4
0
0
0
4
4
4
8
8
8
8
8
8
3
3
8
0
0
16
8
8
8
8
16
16
8
8
8
8
0
0
16
0
8
8
8
8
0
0
0
0
8
8
8
8
8
8
1
2
1
1
1
1
0
4
0
8
0
0
0
0
0
16
16
8
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
12
4
8
8
4
20
16
16
0
0
0
0
16
0
1
9
1
8
8
8
8
2
0
4
4
1
1
1
16
16
8
8
8
24
8
8
8
8
8
8
8
24
8
0
1
1
0
9
8
8
8
8
4
8
6
8
8
16
16
0
8
8
8
8
8
16
16
16
16
0
8
0
0
8
0
8
8
8
0
8
8
16
16
16
0
0
4
4
4
4
4
4
4
4
0
0
0
16
16
16
16
0
8
8
16
0
8
8
8
0
0
0
0
0
8
0
42
8
1
1
0
0
8
8
8
8
16
16
16
0
0
16
9
2
8
12
8
4
4
16
0
0
12
8
8
8
8
0
0
10
8
8
0
2
16
0
0
0
16
16
16
8
16
16
2
2
32
0
1
1
1
16
24
16
32
8
8
0
0
0
8
8
8
8
0
0
0
28
8
4
4
4
16
16
8
8
8
8
8
8
1
1
1
1
1
8
8
8
16
0
20
0
8
16
16
16
16
16
16
16
16
16
8
18
18
18
18
18
0
0
0
0
16
20
16
25
9
0
0
16
0
0
0
32
32
16
16
0
0
1
0
0
0
16
16
16
0
0
0
0
0
0
0
16
16
0
16
16
0
32
40
8
8
8
8
8
8
4
0
0
0
8
8
8
16
18
18
0
0
0
0
8
0
0
0
8
35
35
0
0
0
0
0
24
24
24
24
24
1
8
4
4
1
28
9
8
8
0
0
0
8
0
0
0
0
32
32
32
4
0
0
8
8
8
8
8
8
8
8
8
4
4
2
8
8
0
16
16
16
8
0
0
0
0
16
0
20
20
20
0
0
9
0
0
0
0
0
0
0
8
8
0
2
16
16
16
8
8
8
8
8
8
9
8
32
32
12
8
8
8
0
0
8
8
8
25
16
16
8
8
0
0
0
0
8
8
4
0
0
0
8
8
24
0
28
28
28
0
0
0
16
16
16
8
2
8
8
0
0
0
0
0
0
0
0
49
4
0
2
2
0
0
16
16
0
0
0
0
0
4
4
4
0
1
8
8
8
0
4
0
8
8
8
8
4
4
4
4
4
1
1
1
0
0
1
1
1
0
0
0
0
0
0
9
8
0
4
8
8
8
8
8
16
16
16
0
0
0
0
16
0
0
3
17
0
8
9
9
9
0
0
8
8
8
16
0
0
17
17
8
24
8
0
8
8
8
8
18
18
16
16
16
0
0
0
0
0
0
0
2
2
2
0
0
0
0
4
0
0
8
8
8
8
8
8
8
8
8
0
0
0
0
1
16
0
16
16
16
16
0
2
2
0
8
8
8
8
8
8
8
0
0
0
1
1
1
1
1
16
16
16
8
8
8
0
0
0
0
0
4
1
1
1
1
0
24
16
0
17
8
1
1
8
32
32
32
32
32
32
8
0
0
0
0
2
8
8
2
8
8
8
8
8
0
4
4
4
8
8
8
24
24
16
20
8
8
24
24
40
8
8
8
0
0
0
4
4
4
4
0
1
0
8
24
0
8
8
8
8
0
0
0
0
0
32
48
32
8
8
8
24
24
24
24
16
0
8
8
0
0
0
0
0
16
8
8
8
2
2
8
4
24
24
24
2
8
8
0
0
32
32
1
1
1
8
0
0
0
0
0
0
24
24
2
2
2
2
2
8
8
8
8
16
0
8
8
8
8
0
8
8
8
24
0
2
8
8
8
0
4
5
0
0
24
24
24
24
24
16
24
8
0
0
0
8
0
0
0
8
8
2
2
8
2
0
0
4
4
4
0
16
1
16
10
10
0
8
1
0
4
0
0
2
32
8
0
0
4
4
4
8
8
16
16
5
4
0
0
2
0
0
0
0
18
16
6
8
28
24
24
0
0
8
0
0
0
0
2
0
16
2
2
2
16
16
8
8
8
0
0
8
0
17
16
0
0
0
4
16
16
16
16
16
16
0
5
8
8
0
0
1
28
28
40
8
0
60
52
52
4
4
0
0
20
20
20
20
0
8
8
8
0
16
8
0
8
8
0
0
4
0
0
0
4
4
8
0
16
20
16
16
8
0
0
0
16
20
20
16
16
0
16
16
16
0
0
8
8
16
0
16
4
4
12
8
32
0
0
0
8
4
4
4
8
0
8
33
33
24
24
8
8
16
16
0
0
0
0
0
24
16
16
0
2
2
2
0
16
2
2
8
8
2
1
1
1
1
1
1
4
4
4
1
18
16
16
16
25
24
24
24
24
8
2
0
16
16
16
16
16
16
16
16
0
0
0
0
1
1
4
4
0
0
20
16
4
0
0
0
0
0
0
0
0
24
8
8
8
0
0
0
0
0
32
0
0
16
16
8
0
0
0
0
0
8
8
1
1
8
8
0
4
4
1
1
1
4
1
0
32
32
2
2
0
0
0
1
4
0
2
0
0
4
16
24
0
8
16
16
16
16
8
0
0
16
8
0
18
18
8
0
0
8
1
1
1
1
1
8
8
8
8
0
0
0
8
8
8
8
24
16
20
20
5
0
0
33
33
0
0
0
0
26
26
26
26
26
8
0
16
16
0
8
0
0
0
0
16
16
4
16
0
4
4
16
20
20
0
0
0
0
0
8
1
17
0
32
32
2
8
8
8
8
8
8
0
0
0
0
0
0
0
0
16
24
8
8
8
0
0
0
1
8
8
0
0
0
40
39
39
39
26
26
26
8
8
8
8
8
8
16
16
16
16
17
17
17
17
17
0
0
16
24
16
16
0
0
8
16
9
9
9
8
8
8
0
2
9
0
0
0
24
16
8
8
8
8
32
32
32
32
32
32
4
4
4
0
16
16
0
0
0
0
0
0
0
25
0
0
0
0
0
0
0
0
12
1
5
0
1
0
0
16
8
8
16
8
8
8
0
0
4
0
4
8
0
0
0
16
16
8
1
11
8
8
8
8
8
8
8
8
8
0
32
32
32
0
0
0
4
4
6
6
8
8
8
10
4
4
4
48
48
48
48
48
48
48
48
48
0
4
4
4
2
2
1
0
1
1
1
16
16
4
4
0
16
10
4
4
9
32
48
48
24
8
8
1
1
16
16
49
49
49
8
8
8
4
4
0
0
32
16
0
0
0
16
0
8
0
16
16
16
8
48
32
0
4
0
4
0
0
0
16
1
0
5
5
0
0
0
0
4
1
1
1
1
1
1
1
1
8
8
8
8
0
8
0
16
16
16
2
2
14
2
8
8
8
8
16
0
1
8
8
8
0
0
0
0
8
8
0
0
16
0
0
0
0
16
16
0
12
12
12
8
8
8
8
8
8
8
8
8
8
1
8
16
16
10
10
10
0
8
8
8
8
8
8
8
8
8
8
10
0
0
0
0
24
24
24
0
2
5
2
5
16
16
16
16
8
8
8
0
0
0
0
0
0
0
1
57
0
0
0
0
8
16
16
16
16
0
8
24
4
4
4
32
32
32
8
8
8
8
0
0
0
16
16
24
16
0
0
0
0
0
0
0
0
2
8
8
8
8
8
8
8
16
16
0
1
4
0
32
8
0
0
16
8
0
0
32
24
2
1
8
16
16
16
16
8
24
24
8
0
0
0
0
0
8
0
8
0
0
8
17
17
1
16
32
0
17
17
48
48
0
0
0
0
0
0
24
8
8
2
2
0
8
8
0
0
1
1
0
0
10
8
16
16
16
16
0
0
49
4
4
4
4
16
16
8
8
8
1
1
8
32
16
1
0
0
16
16
16
0
8
8
8
4
12
8
0
0
0
16
8
0
8
0
0
0
16
16
16
0
8
8
8
0
16
8
8
0
8
8
8
16
16
16
16
2
8
2
2
2
2
2
2
0
0
0
8
0
1
1
0
8
8
16
0
8
32
0
0
0
8
8
8
8
8
8
8
16
16
16
2
0
0
16
8
32
16
16
16
16
0
8
8
8
40
8
0
8
8
8
8
8
2
2
32
0
10
2
0
24
0
0
0
0
0
0
0
12
0
0
0
20
20
0
0
16
16
8
28
2
8
16
16
16
16
8
8
2
16
16
0
16
1
4
20
8
2
2
8
8
8
8
8
8
16
16
8
8
8
8
16
16
0
6
6
0
8
8
8
0
0
0
0
0
4
1
1
1
8
0
8
8
1
1
1
4
4
16
16
2
2
2
8
0
0
0
8
4
4
16
0
0
0
0
8
8
8
8
16
16
16
2
2
1
1
1
16
0
0
8
19
0
8
8
12
8
0
0
0
9
9
9
9
0
0
8
16
17
8
0
0
2
2
2
2
1
1
1
0
0
1
1
8
8
4
8
8
16
16
16
0
8
24
24
24
24
1
1
0
17
1
1
1
44
4
4
8
2
8
8
32
32
8
8
8
4
4
0
0
0
0
32
48
61
61
61
0
9
9
33
2
2
16
4
4
16
16
6
8
8
8
40
8
0
0
16
16
17
16
16
16
8
0
0
2
8
0
17
17
17
8
0
8
8
8
8
8
8
2
2
1
1
1
16
16
8
16
8
8
8
1
16
16
0
0
0
0
0
0
0
0
0
16
16
2
10
10
16
16
8
8
1
1
1
8
8
8
16
0
16
16
8
8
8
8
8
8
1
22
0
0
0
0
0
0
38
8
8
2
0
0
8
32
8
0
0
16
0
8
8
8
8
8
8
8
8
8
53
0
8
8
18
18
18
16
16
16
16
16
0
28
1
1
0
8
0
0
22
8
8
8
8
8
8
8
0
0
0
0
4
4
32
17
4
4
4
4
4
8
16
8
8
8
8
8
8
2
2
8
8
5
5
0
0
32
0
8
8
8
8
0
0
0
0
0
8
8
10
10
16
8
16
1
1
16
16
0
0
16
16
2
2
0
1
1
1
1
0
8
8
8
16
8
0
16
16
0
8
8
8
8
8
16
24
8
9
0
0
0
8
8
8
8
4
16
16
16
4
4
4
0
0
16
0
4
0
0
0
0
0
33
16
0
0
16
16
24
4
6
4
4
8
0
0
0
0
0
8
0
16
16
0
1
16
16
16
4
24
32
40
32
32
32
32
0
24
8
8
8
8
4
0
0
0
16
4
4
0
16
0
0
24
2
8
8
8
24
0
8
8
8
0
0
8
8
16
16
0
0
0
12
12
8
8
2
4
6
2
0
8
0
8
8
0
4
0
0
0
16
16
0
0
0
0
0
0
0
0
0
16
8
0
8
0
8
8
8
8
8
8
24
4
4
0
8
8
4
0
52
8
0
0
0
0
0
0
0
0
8
0
16
16
8
8
8
32
0
0
16
16
16
16
16
8
8
0
9
8
0
0
0
0
0
0
0
16
8
12
12
8
8
4
16
24
4
4
4
4
8
8
8
0
0
8
1
1
25
0
17
0
0
8
8
0
8
8
4
4
4
2
0
2
4
4
4
4
20
20
16
16
16
16
16
20
20
20
20
20
20
1
0
2
0
8
8
0
16
16
8
0
0
8
8
8
8
1
16
0
0
0
16
1
0
16
0
8
8
8
8
0
0
0
16
0
0
0
4
4
4
0
0
0
0
0
16
16
16
0
0
0
0
0
24
2
2
2
16
16
16
0
17
16
16
16
8
37
8
32
1
0
0
0
8
8
8
16
18
16
0
0
0
8
8
8
0
0
8
8
8
0
33
1
8
0
28
16
16
18
18
18
18
16
48
0
16
16
0
0
0
0
16
16
16
16
16
8
0
4
32
32
16
18
0
16
16
8
0
13
13
0
1
1
16
4
8
8
8
8
8
2
1
1
8
0
0
1
1
1
16
0
8
8
8
8
8
0
0
0
8
2
8
8
8
8
2
2
2
2
2
8
8
8
1
12
1
2
2
8
2
5
16
16
16
16
32
32
1
0
0
4
4
16
4
4
16
8
8
0
22
8
5
0
0
16
0
0
24
3
1
0
0
0
26
26
4
0
24
8
16
0
0
0
1
1
3
3
8
4
32
0
24
24
0
8
8
20
16
8
8
8
8
12
16
16
0
0
21
21
21
0
0
1
1
1
0
16
18
18
4
4
4
0
1
1
1
0
17
17
17
0
0
0
0
0
0
0
5
16
16
16
0
8
16
16
16
16
16
4
8
8
8
0
0
1
0
0
2
1
8
8
8
8
0
29
0
8
8
8
8
0
4
4
4
0
0
8
8
2
2
2
2
16
16
16
16
16
0
0
0
1
1
0
0
8
8
0
2
0
8
8
0
4
8
0
9
8
51
34
8
16
16
16
16
1
1
4
32
0
16
16
16
16
1
1
1
8
16
16
16
16
16
16
16
10
0
0
0
0
1
8
8
8
0
0
0
0
4
8
1
0
0
8
8
8
8
1
1
1
8
8
8
0
0
8
8
8
0
0
0
8
8
49
58
58
58
0
8
8
16
16
0
0
16
16
8
8
8
8
16
20
20
0
8
8
8
8
4
20
20
16
9
0
0
4
16
0
0
8
8
16
16
0
28
28
16
0
0
0
0
0
16
16
16
4
4
4
8
16
16
16
16
16
16
8
16
0
0
0
32
32
16
16
16
0
0
4
4
4
4
0
0
0
8
0
0
0
16
16
8
16
16
16
16
16
24
8
8
16
16
16
16
16
16
24
24
24
24
16
0
0
0
24
20
20
1
1
1
8
8
8
8
0
0
24
8
4
2
2
16
21
16
16
0
24
24
24
4
16
8
0
8
16
0
8
9
9
0
0
0
0
0
0
0
0
4
0
4
4
4
4
24
24
24
18
22
16
16
16
16
16
16
16
16
16
16
0
0
16
0
0
0
1
1
4
0
8
0
0
0
4
4
4
0
8
8
4
24
8
8
16
1
1
16
0
16
16
16
16
16
16
16
16
16
16
16
16
16
16
0
4
12
12
16
16
1
8
8
8
0
1
16
16
2
8
8
0
0
0
0
16
8
16
8
8
37
4
1
32
37
37
8
8
2
2
2
8
16
16
16
16
20
0
0
0
16
4
4
4
4
4
0
0
0
8
8
4
4
0
0
0
0
1
8
8
16
16
8
0
8
0
0
0
0
16
16
17
17
2
2
10
22
0
0
8
0
8
0
0
8
8
8
8
0
32
0
24
0
2
2
16
4
16
4
1
1
0
8
18
1
8
8
8
8
8
8
8
8
8
8
16
0
13
8
8
8
8
8
0
2
2
2
16
16
8
16
8
0
9
9
0
8
0
0
2
0
16
24
8
0
16
16
16
0
8
8
16
16
0
0
0
0
8
8
16
2
2
2
2
2
0
0
24
24
0
0
16
0
8
16
1
0
8
8
17
17
32
8
8
8
16
16
0
16
16
0
0
0
16
16
16
16
16
16
16
16
0
0
24
24
4
4
0
0
8
8
0
0
0
0
0
0
0
1
0
0
0
0
16
8
8
8
8
8
8
8
0
0
0
8
8
8
8
24
17
1
1
4
20
20
20
8
8
32
32
32
16
0
8
1
0
16
16
16
16
16
8
8
8
8
8
8
8
0
32
32
6
6
6
32
0
28
28
16
9
16
16
0
0
0
0
0
16
16
16
17
16
16
1
0
1
1
1
1
1
0
2
2
2
0
24
0
4
4
25
6
0
0
16
12
0
0
0
0
39
16
0
0
0
0
0
24
4
8
8
0
0
8
8
16
16
16
16
8
2
2
2
2
2
2
16
2
16
8
16
8
8
2
8
2
2
0
0
0
8
8
8
8
8
8
8
0
16
16
16
0
0
20
8
0
0
8
8
14
2
2
8
1
1
0
32
1
0
16
8
24
24
2
9
2
2
4
4
4
2
0
1
17
17
17
8
8
0
16
16
45
45
45
45
8
0
0
12
8
20
20
20
16
0
0
0
0
1
8
8
1
1
8
9
1
16
0
0
0
8
16
16
0
16
29
29
29
0
0
0
0
8
8
8
8
0
0
0
16
16
0
0
1
8
8
0
32
6
0
8
8
16
16
16
16
16
8
18
8
24
25
0
0
3
0
0
8
8
49
0
16
16
4
16
16
4
4
16
16
16
4
4
4
4
8
8
1
4
0
8
8
6
6
16
16
8
1
1
24
24
8
0
4
16
8
0
0
0
8
8
17
1
0
4
0
0
0
24
16
4
4
18
32
2
0
0
2
2
2
16
3
3
8
8
2
2
8
8
0
8
1
0
0
0
8
8
8
8
32
8
0
17
16
0
0
0
8
0
0
0
0
8
0
13
8
18
0
0
16
16
0
0
4
2
16
8
12
8
8
0
8
16
0
16
16
4
4
16
16
16
8
0
0
4
8
4
16
16
16
16
1
8
4
2
8
9
8
1
1
1
1
8
8
8
8
8
8
6
2
2
0
0
8
8
8
8
8
8
0
16
8
8
8
0
0
0
2
2
2
8
8
8
8
8
8
8
8
8
8
8
0
4
4
4
4
4
32
36
32
32
16
8
8
8
0
16
16
16
16
16
16
16
16
0
0
0
0
48
8
25
8
0
32
1
8
0
0
0
0
0
16
16
16
16
16
16
24
8
8
24
8
1
1
4
2
9
0
0
0
8
12
32
4
4
8
8
24
0
1
1
1
1
4
4
8
8
0
0
0
0
8
0
0
0
0
0
0
8
6
6
16
1
1
0
16
16
16
16
16
16
16
0
8
8
0
0
0
8
8
8
8
4
4
4
9
8
0
0
0
2
2
0
0
0
16
16
0
15
8
0
0
0
0
0
0
0
12
4
0
4
2
24
24
24
0
5
5
4
8
0
16
16
16
0
0
0
8
8
8
8
8
8
8
8
8
0
0
0
0
0
0
0
0
8
16
1
1
1
8
8
8
4
4
48
0
0
0
0
8
8
4
19
0
0
0
8
25
0
16
16
16
16
20
0
8
8
8
8
8
0
0
8
16
16
8
20
20
8
0
16
16
16
0
24
24
24
24
24
24
24
24
24
32
8
8
8
8
0
0
16
0
1
8
4
0
0
0
0
0
2
2
16
16
16
8
2
2
2
0
0
0
0
0
0
8
8
0
0
8
8
24
0
26
0
0
0
0
2
44
0
0
8
0
0
8
8
8
3
4
8
0
2
0
0
2
8
2
2
2
0
6
2
0
8
0
0
0
8
1
1
1
1
1
8
24
24
18
18
8
8
8
8
0
0
4
4
4
4
8
8
8
8
8
4
8
8
8
0
8
8
16
0
16
16
5
8
8
8
0
0
9
4
4
4
13
14
0
0
0
0
0
25
25
8
32
8
8
8
8
8
16
16
16
4
0
16
16
8
8
2
0
0
0
0
9
9
8
8
18
0
0
8
8
8
16
8
8
8
8
16
16
16
16
1
1
2
0
0
0
2
48
32
1
1
2
18
2
0
0
0
8
8
8
48
0
0
0
4
0
1
1
1
1
8
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
16
13
13
8
8
8
8
2
1
1
1
1
0
16
0
3
3
3
16
16
16
1
8
0
1
1
0
0
10
8
8
8
1
0
0
12
12
12
0
0
8
8
8
0
16
16
16
16
1
1
1
1
0
0
4
0
16
16
0
4
4
0
0
0
20
20
8
0
0
0
0
8
16
0
0
0
8
8
0
8
18
22
22
16
8
4
0
0
0
4
4
0
0
8
9
1
1
40
4
6
12
4
16
16
16
0
8
0
1
0
0
0
24
16
16
16
8
8
4
4
20
4
4
4
4
4
4
0
8
8
0
0
0
8
8
12
20
8
26
1
1
16
16
16
16
16
2
4
8
8
16
16
20
8
0
0
8
8
8
0
26
17
10
0
0
8
8
8
8
8
0
4
16
0
0
0
0
8
8
8
16
0
0
0
0
0
16
16
16
0
0
0
0
0
20
20
20
20
20
4
4
8
8
8
8
16
16
16
0
24
24
24
0
1
0
0
2
0
32
0
16
16
16
16
8
16
24
1
1
17
8
8
8
2
6
4
4
4
4
4
8
8
8
2
8
0
0
4
4
8
0
0
1
21
16
16
5
4
1
2
8
8
16
16
16
8
0
0
0
16
0
1
2
0
0
8
8
6
16
0
0
0
0
0
8
8
0
0
8
8
8
0
16
0
0
32
32
8
0
8
8
8
8
8
0
8
8
8
0
0
0
4
0
0
0
0
16
16
1
4
8
0
0
4
8
51
51
10
10
8
8
8
8
4
20
20
20
20
0
16
16
8
8
8
8
0
8
32
32
16
16
0
0
8
8
8
8
0
16
16
16
16
0
0
13
16
16
24
24
24
16
0
0
0
0
0
16
17
17
17
8
8
0
0
0
0
8
8
8
8
8
8
0
16
16
16
16
0
8
8
16
2
2
4
8
8
16
0
0
1
1
1
0
16
16
16
8
0
4
1
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
8
8
8
8
8
8
8
16
16
16
16
16
16
28
4
16
16
16
0
0
8
8
8
2
4
4
0
0
16
24
40
16
8
8
0
2
0
8
8
8
40
0
16
27
27
0
8
8
8
8
8
8
1
1
1
1
0
0
4
4
4
16
24
8
8
8
8
8
16
8
8
1
8
16
8
0
0
0
8
32
32
32
0
8
0
0
1
0
1
1
0
0
0
16
16
16
16
0
0
24
5
5
5
5
16
16
0
0
4
4
4
8
8
2
2
0
24
26
0
0
16
2
2
24
8
16
0
0
8
8
0
1
1
0
16
16
16
0
0
16
16
16
4
8
16
0
0
0
0
20
4
4
8
4
2
2
2
2
2
32
32
0
8
0
1
1
1
1
1
1
0
40
8
0
8
8
1
28
33
0
22
4
8
29
0
0
0
22
22
8
8
8
8
8
8
16
1
17
17
16
0
20
16
2
2
16
8
8
28
28
28
8
8
8
8
8
8
8
0
0
0
0
6
0
8
8
8
8
8
0
0
0
16
16
16
16
0
24
8
8
8
8
8
2
2
2
2
8
8
2
16
8
8
8
26
0
1
1
17
2
0
40
8
16
16
0
8
8
8
8
8
8
8
8
0
0
16
25
0
8
8
8
8
8
0
0
16
0
0
0
0
0
0
0
16
0
0
8
16
16
8
0
0
0
0
0
0
8
8
8
60
52
60
16
0
0
20
16
0
0
0
0
0
16
16
16
16
20
20
20
4
4
0
8
0
0
0
1
1
16
0
0
0
16
32
32
38
32
0
0
16
16
16
0
16
16
8
16
16
8
16
0
0
8
8
8
8
8
8
16
16
16
16
16
20
20
20
8
8
8
8
28
28
28
28
1
0
0
16
0
4
4
4
8
8
8
8
8
8
8
8
8
8
56
56
31
4
4
4
0
28
24
24
8
8
12
12
16
1
1
8
1
8
8
16
0
0
0
0
32
8
8
8
8
0
0
0
4
4
16
0
16
16
24
24
8
8
0
0
0
0
16
17
1
1
1
1
8
0
8
8
8
8
0
0
8
0
0
0
16
20
4
4
4
4
8
8
8
16
8
1
1
1
24
24
0
0
1
1
8
0
4
20
4
8
8
32
8
39
39
1
1
0
8
0
24
16
8
1
1
1
24
1
1
8
8
8
8
25
9
2
2
16
16
16
0
9
4
4
0
2
2
8
8
8
1
0
0
0
2
0
8
8
8
4
4
0
4
4
4
16
32
0
16
8
16
16
16
16
16
8
8
8
28
8
0
0
0
0
0
0
0
8
24
8
8
8
0
8
0
0
8
10
32
8
8
8
0
8
16
16
16
0
0
8
8
16
0
16
0
0
0
0
16
0
0
8
40
8
2
8
8
16
16
1
0
0
0
0
0
0
37
48
8
8
8
6
6
6
32
16
0
0
0
0
0
6
32
4
4
16
0
0
0
2
16
8
0
2
0
16
16
8
0
0
0
0
4
10
0
0
0
0
2
2
2
40
0
8
9
1
2
27
3
3
16
8
8
16
8
8
16
16
8
8
16
1
1
0
16
16
16
0
1
8
1
1
1
1
8
8
8
16
16
16
0
8
8
8
0
0
32
32
32
0
1
0
0
0
0
0
2
2
2
24
8
0
0
0
16
16
8
8
8
8
1
8
16
16
24
8
4
4
4
0
0
0
0
0
0
8
8
4
24
8
8
16
16
16
16
16
0
8
0
0
0
16
0
0
0
0
1
2
0
16
16
0
2
0
0
8
0
16
8
8
8
16
4
20
16
2
0
4
4
2
24
24
1
17
0
8
0
8
8
8
8
8
8
0
0
0
0
0
16
16
16
16
4
0
8
8
4
4
8
0
0
50
48
0
16
0
0
0
0
8
8
16
0
0
20
20
20
24
24
24
8
8
0
37
33
33
16
1
1
16
16
16
16
16
16
8
16
16
8
16
16
4
4
4
4
0
0
4
8
8
8
8
0
0
0
4
2
4
8
8
16
20
16
4
2
2
8
16
16
4
8
0
0
0
8
8
8
8
16
16
8
20
16
16
18
8
0
2
2
2
2
2
2
56
56
56
8
8
0
8
8
0
16
0
0
8
24
24
24
24
0
0
8
0
8
0
0
1
1
1
24
8
8
0
8
16
16
16
16
8
8
4
4
4
8
16
16
48
8
24
8
0
8
8
4
4
0
8
8
2
16
8
0
0
0
32
4
36
5
4
4
4
8
0
1
16
16
4
18
0
0
16
16
16
16
40
40
0
16
26
8
8
8
34
0
16
16
16
16
0
1
1
1
1
1
32
32
32
4
4
8
16
16
16
32
32
32
32
32
6
6
16
0
0
0
0
0
8
8
0
9
9
16
16
0
6
8
2
1
0
0
0
0
2
2
2
14
2
14
20
32
32
32
32
32
24
24
24
2
6
4
4
16
16
16
16
8
16
16
16
0
0
8
8
8
4
4
4
4
12
16
8
8
8
24
8
16
16
16
0
1
0
8
24
0
4
16
16
10
0
8
8
0
0
0
0
0
0
1
0
2
2
2
2
18
2
8
3
3
16
0
8
8
1
17
0
0
8
8
8
8
8
0
0
12
12
1
21
1
22
22
0
0
16
0
0
8
8
8
8
8
8
9
4
16
4
4
4
4
8
8
0
0
16
4
8
8
8
8
24
24
0
32
0
0
8
8
2
1
1
1
8
8
4
4
0
0
8
8
8
16
16
16
2
2
2
0
4
0
0
8
1
2
16
32
0
16
16
8
8
8
16
8
8
0
0
16
8
8
8
8
8
2
2
1
1
1
8
8
4
4
4
16
0
16
16
8
8
8
1
1
1
1
1
0
4
4
4
4
8
8
0
0
16
16
16
17
4
0
16
16
0
4
4
4
4
4
4
4
4
4
4
16
32
0
32
32
0
0
0
8
0
0
8
0
34
34
2
8
4
2
8
2
2
2
2
16
0
8
16
4
2
8
8
8
8
8
8
16
0
1
1
0
16
18
18
18
18
8
8
0
8
0
32
0
8
8
4
4
4
4
4
0
0
8
16
12
6
9
0
0
0
0
0
8
8
8
8
0
0
32
0
0
32
32
8
8
1
1
1
8
16
16
8
8
8
8
8
8
16
16
16
16
0
16
16
16
16
0
2
0
16
32
1
1
1
4
0
0
2
2
2
0
2
48
0
0
34
34
2
32
16
16
0
0
1
0
2
8
8
8
17
17
8
2
16
0
0
16
8
0
1
1
8
8
1
1
0
0
6
6
0
0
4
8
8
24
24
24
1
1
25
8
8
8
0
0
8
8
8
8
8
16
16
16
16
8
8
8
1
1
0
0
0
0
0
0
0
0
0
2
2
2
2
8
0
1
1
1
1
8
1
8
16
16
0
0
0
0
0
0
0
0
4
16
16
16
16
0
4
8
0
0
0
0
24
8
8
8
8
8
40
40
40
0
0
2
2
0
18
18
8
32
32
32
4
0
0
8
8
17
16
8
33
33
16
4
2
1
1
1
1
1
0
2
8
56
56
8
2
5
1
1
0
0
16
16
0
2
18
0
0
20
8
0
18
0
8
0
8
4
0
0
0
0
24
8
8
2
14
0
8
16
50
4
2
10
10
12
8
0
0
8
0
0
4
0
8
8
2
2
4
4
8
1
24
16
0
8
8
8
0
1
1
0
1
1
8
8
0
1
0
8
0
0
8
24
24
24
24
24
0
8
8
8
8
0
28
8
4
8
0
1
1
1
0
0
0
2
2
1
1
1
0
0
2
2
24
8
24
8
8
8
8
8
16
8
8
8
8
16
16
0
2
16
0
1
1
0
0
16
16
16
4
44
8
17
8
16
16
0
0
0
8
16
16
0
0
8
8
24
24
8
8
1
8
16
0
10
16
16
32
32
32
32
32
32
8
8
8
8
8
32
8
4
4
4
56
0
4
4
8
8
8
0
4
4
0
0
0
0
0
0
8
1
0
2
8
44
44
0
18
0
8
8
0
0
16
16
12
12
0
8
8
8
8
0
0
0
0
8
8
0
0
0
0
8
16
8
2
2
8
0
47
47
47
8
8
8
8
8
8
14
14
2
16
16
16
8
16
16
2
2
2
16
1
36
4
4
16
18
18
4
2
21
21
21
0
8
8
8
15
8
8
0
0
16
16
8
8
8
24
0
57
25
27
8
8
8
0
16
16
16
16
16
16
8
4
8
16
16
0
8
0
0
1
1
1
2
2
0
0
0
1
0
0
0
0
0
0
16
0
8
8
48
8
48
48
8
2
2
2
0
2
2
2
2
8
8
16
0
0
0
0
0
0
1
1
1
8
0
0
16
16
16
33
16
4
24
0
0
0
8
8
8
8
8
0
0
0
0
0
0
0
1
3
16
4
4
8
8
16
8
8
8
2
2
2
2
2
0
16
0
0
0
8
8
8
4
0
2
2
8
0
16
16
0
8
0
4
32
8
40
16
16
16
4
4
0
0
16
16
0
12
4
8
0
8
8
8
16
16
18
18
16
16
16
20
4
4
4
0
1
0
0
0
0
0
0
0
4
2
0
0
0
8
0
0
0
12
1
0
0
2
2
16
0
16
16
16
0
16
16
16
16
16
8
16
4
16
8
24
17
17
17
17
1
17
1
1
1
0
8
3
2
1
0
0
0
16
44
8
0
12
12
0
8
12
1
1
4
8
10
0
16
17
17
6
33
16
16
0
16
16
10
17
0
0
0
0
16
16
32
32
32
0
8
24
16
16
0
0
8
8
1
1
16
8
16
2
1
0
0
20
16
0
8
8
8
0
0
8
8
0
8
16
17
32
32
8
8
8
8
16
8
8
8
8
8
8
8
0
2
10
10
10
2
2
1
1
17
1
0
0
0
0
1
1
1
0
0
1
1
1
4
0
1
1
1
1
1
8
8
8
16
8
1
1
1
22
22
22
16
16
16
16
0
1
1
1
1
8
8
8
8
32
32
0
0
8
8
0
16
16
3
0
4
4
4
4
4
0
0
0
16
16
4
0
0
16
16
39
16
0
8
8
8
8
8
8
17
17
17
8
8
8
17
16
50
48
16
2
2
8
8
40
0
0
0
0
0
36
0
0
0
0
0
0
4
4
16
16
16
16
16
16
0
0
0
8
8
0
0
0
0
0
0
18
18
18
2
2
8
8
8
8
8
16
16
16
44
13
13
0
1
1
1
8
8
8
4
4
4
5
5
16
16
0
0
0
16
24
2
4
9
9
0
0
0
25
25
4
4
16
4
8
3
3
3
4
12
8
8
0
1
8
8
21
21
0
8
0
0
8
12
12
12
12
20
16
16
16
16
0
0
0
4
0
0
0
8
16
16
16
16
0
0
0
0
8
4
10
10
0
8
8
8
8
4
2
2
16
0
0
33
33
1
0
24
0
0
0
0
8
0
7
7
7
0
0
0
0
0
1
1
2
2
0
0
0
0
0
40
8
16
8
8
8
12
16
16
1
1
0
8
24
4
4
4
16
16
16
16
8
8
8
8
0
0
0
0
0
0
0
8
2
21
0
8
8
1
1
40
0
8
8
16
4
36
4
16
2
16
16
2
2
2
2
0
0
0
0
16
0
1
8
8
8
16
1
0
32
32
0
0
0
0
33
33
33
4
4
4
4
4
8
8
0
0
0
32
1
32
32
32
10
0
0
0
4
32
8
8
0
8
0
0
1
16
16
16
0
5
1
1
2
1
1
1
0
2
8
0
0
0
12
8
8
0
0
8
8
0
24
16
16
0
1
0
8
4
8
8
8
8
0
8
8
8
8
0
25
16
4
1
1
22
16
0
0
16
8
24
8
8
8
8
1
1
2
8
32
32
16
16
0
0
18
18
18
2
8
0
0
0
32
0
0
8
8
8
8
8
21
8
8
4
0
9
28
1
16
0
1
4
4
4
4
4
4
0
8
0
16
16
16
16
16
16
8
8
8
0
8
8
8
18
8
8
0
0
0
0
8
8
8
0
0
0
0
8
8
8
16
0
0
0
8
8
8
8
8
0
0
0
12
0
0
16
16
16
16
1
16
16
0
8
8
0
8
0
0
8
8
1
1
1
1
1
1
1
16
16
24
0
0
0
32
32
32
32
16
8
0
8
8
8
0
8
8
8
0
0
0
0
0
0
16
16
0
24
24
24
2
2
4
4
8
8
8
8
16
0
0
0
0
1
1
1
8
0
0
0
1
16
16
16
2
0
0
4
5
0
0
1
1
0
6
8
0
0
0
16
8
0
0
0
13
9
9
9
1
3
0
1
1
16
4
0
8
2
8
0
0
0
0
0
0
52
0
16
4
0
16
8
8
8
8
0
16
16
4
4
4
4
9
9
0
0
16
2
16
16
16
8
8
0
0
0
0
0
0
8
8
0
48
0
0
0
8
0
0
52
8
10
0
0
8
0
0
0
0
0
0
0
8
16
16
20
4
16
8
8
8
8
0
8
8
8
8
8
0
0
0
0
0
16
0
0
8
0
0
0
6
0
0
16
16
16
16
1
1
20
20
20
20
20
20
20
8
8
2
0
8
8
24
16
16
16
16
8
0
2
48
48
8
8
8
16
16
16
16
0
1
8
8
8
0
8
16
16
16
16
0
8
8
8
8
16
16
16
16
24
8
8
1
9
16
16
16
16
9
9
2
10
2
0
0
16
16
16
4
4
4
4
16
16
0
0
0
0
28
8
4
4
4
4
0
4
4
8
1
16
0
8
0
0
16
16
32
32
0
16
16
4
16
0
8
16
16
16
16
16
16
0
8
8
8
8
8
0
8
8
8
2
34
34
17
16
16
16
16
0
0
2
4
8
16
8
25
25
8
1
1
1
0
1
1
4
4
4
16
16
16
0
2
2
2
8
20
4
8
8
8
8
0
0
0
0
0
0
8
0
0
0
0
1
0
16
16
40
0
8
16
16
16
24
0
8
1
1
0
16
16
16
16
16
4
0
8
8
8
8
8
8
8
4
19
8
4
16
9
1
52
16
8
1
1
2
32
32
8
8
16
16
16
8
9
8
0
0
16
16
8
6
1
56
0
0
16
16
17
16
16
16
16
16
8
8
8
1
9
9
16
8
8
8
16
16
16
3
6
32
32
4
0
0
0
0
0
0
8
0
16
8
0
0
8
0
0
0
0
0
8
16
16
16
16
16
16
16
16
1
20
4
4
0
8
8
8
0
0
16
16
16
16
16
16
16
16
16
16
16
8
0
8
8
8
4
8
0
8
8
8
8
8
8
8
16
16
0
20
20
32
4
4
1
16
16
12
8
8
8
8
8
8
8
8
8
8
0
0
20
20
4
4
0
8
0
17
17
0
0
0
24
24
25
0
16
8
8
8
8
8
24
0
0
8
4
0
4
4
0
0
8
8
8
32
4
4
4
24
0
0
0
2
8
8
8
8
0
0
0
8
0
0
8
8
8
0
0
0
0
0
0
16
16
16
16
16
16
24
0
16
8
16
16
0
8
8
32
32
32
16
8
0
0
0
0
8
8
8
0
0
4
4
0
3
8
8
8
8
8
8
8
8
8
0
0
0
4
4
4
4
0
0
16
5
2
8
8
8
21
21
0
0
0
0
0
0
0
4
24
9
8
8
8
8
32
8
16
2
2
8
0
32
4
4
0
0
0
0
0
8
8
0
8
8
8
8
8
1
8
9
1
8
0
8
16
4
4
4
18
0
16
16
8
0
16
0
16
0
0
0
0
41
16
16
0
0
0
0
0
8
8
8
0
20
20
20
8
40
33
0
4
4
16
8
8
0
0
0
8
0
4
4
4
8
4
33
8
8
8
0
0
16
8
3
24
24
8
8
57
4
1
1
1
0
26
0
8
24
2
2
0
8
8
16
16
16
2
2
4
4
4
4
16
16
0
8
8
8
8
0
0
16
16
0
32
32
8
0
16
0
8
0
2
2
1
0
0
0
0
0
16
1
1
3
1
8
16
0
0
32
32
32
16
16
0
0
48
20
16
16
4
0
1
8
8
8
8
39
39
0
0
0
0
0
0
2
1
1
1
1
0
0
8
0
8
8
8
32
0
0
0
32
8
0
1
24
24
24
8
16
4
4
4
4
4
8
8
8
8
24
16
0
10
16
16
8
1
1
1
24
16
16
8
8
8
0
8
24
8
8
32
24
0
0
0
0
16
6
6
6
6
0
37
37
37
37
37
2
10
8
8
32
32
32
32
8
0
16
0
0
28
28
16
2
8
0
2
16
16
16
16
16
16
8
8
0
0
2
2
8
16
16
0
0
0
8
0
0
8
8
16
0
0
0
0
0
0
0
0
16
8
0
1
0
0
0
0
0
0
16
16
1
1
1
9
8
10
8
8
0
0
1
4
16
16
16
0
16
0
4
4
8
3
2
40
18
18
16
4
12
0
8
8
8
2
8
8
8
8
0
0
0
0
0
17
16
18
0
0
0
0
0
1
1
16
16
16
16
16
0
16
32
8
8
8
0
8
8
2
2
2
24
0
24
24
0
0
8
8
8
32
1
0
8
8
16
8
16
0
0
0
0
0
0
0
6
6
0
0
0
8
0
0
0
0
24
8
8
8
8
8
8
8
8
8
8
2
2
2
2
2
2
16
16
8
8
9
0
8
8
8
8
16
8
24
16
8
0
2
0
0
0
13
4
8
8
1
1
8
8
12
16
16
16
0
0
0
0
0
40
40
8
8
0
0
4
16
8
0
0
0
16
0
8
0
0
2
8
56
2
8
4
4
2
24
8
8
4
4
4
8
8
8
8
8
8
16
8
1
8
1
8
16
16
16
0
4
4
8
8
8
16
16
2
3
16
0
0
16
1
0
0
20
20
16
8
8
8
8
8
8
8
5
1
0
8
8
8
8
8
4
4
8
0
0
0
0
0
0
0
8
32
4
4
4
0
0
8
12
0
0
4
0
0
0
1
1
1
1
1
1
1
8
8
8
0
0
8
16
28
28
4
12
0
0
0
0
16
16
8
0
0
0
0
8
8
8
16
8
8
8
8
1
1
1
32
8
25
16
0
16
0
16
16
0
8
0
0
2
4
4
4
0
24
24
24
24
0
0
16
0
0
19
0
0
8
8
1
2
8
0
0
0
8
8
0
0
0
0
8
8
8
8
8
8
0
8
0
0
2
8
16
4
4
4
4
0
8
8
8
16
16
16
4
0
8
20
20
8
38
32
8
12
4
0
0
24
26
26
26
26
26
26
26
16
16
16
16
8
0
6
6
0
8
0
4
8
32
8
2
2
40
20
20
0
0
4
8
10
28
4
8
16
16
8
0
16
8
0
20
1
22
22
1
16
16
16
16
16
0
16
16
8
8
8
1
0
1
0
18
8
16
16
16
0
40
1
1
1
0
0
0
2
2
2
32
0
17
16
16
16
16
4
4
4
14
14
14
14
14
0
8
16
0
32
0
9
9
9
9
8
8
8
8
8
0
0
2
0
0
0
0
0
0
2
2
0
0
0
0
0
0
0
4
4
0
4
4
4
4
4
4
0
0
4
8
2
2
2
8
8
17
17
8
8
1
8
16
0
8
8
24
0
16
16
0
0
0
0
0
0
8
2
8
8
16
24
8
2
2
2
8
8
0
2
14
6
6
6
2
8
16
1
0
0
17
16
16
1
1
1
16
16
16
16
16
16
16
1
1
16
16
18
8
16
16
8
16
16
16
16
16
0
0
8
8
8
8
2
16
2
2
0
32
32
16
2
2
2
8
4
4
4
4
8
8
8
0
16
16
16
2
2
2
2
32
32
32
8
16
16
4
4
4
4
4
4
0
0
8
0
8
32
1
8
8
20
8
0
0
0
0
0
0
0
32
21
21
2
0
8
0
0
0
0
8
1
8
24
24
24
24
8
1
0
16
16
16
12
8
40
40
8
8
9
0
0
4
4
0
0
0
0
0
0
0
0
4
4
4
16
56
20
16
2
4
8
8
8
0
8
8
8
8
8
8
32
32
32
32
0
0
8
16
0
0
0
56
8
8
0
8
8
8
8
8
0
0
29
4
4
4
8
8
37
8
0
12
16
0
0
16
0
0
8
8
16
0
0
9
8
8
8
8
8
0
8
8
8
0
0
8
8
2
2
24
16
8
24
0
0
0
0
8
8
16
16
8
8
0
0
8
16
32
24
16
0
0
16
16
8
8
2
2
8
3
32
24
0
2
2
8
32
32
32
0
0
0
8
0
0
0
0
0
8
8
16
16
0
17
4
8
8
27
27
17
1
1
8
8
17
17
0
2
2
2
16
16
20
16
0
0
0
0
0
0
1
1
1
24
24
24
16
17
17
1
16
4
16
0
16
16
16
4
12
16
2
8
8
8
2
2
2
8
8
8
0
0
0
12
12
8
0
32
32
32
1
8
9
9
8
8
8
36
36
3
1
1
32
8
0
0
24
1
8
8
4
16
16
0
0
0
0
0
8
16
8
16
16
8
0
8
8
20
1
0
0
2
8
0
0
0
0
8
8
8
8
0
16
16
0
0
8
18
18
18
18
18
18
8
8
8
0
5
4
4
2
0
8
1
1
20
0
59
0
4
4
0
8
8
8
8
8
0
8
4
4
0
0
8
4
0
33
33
33
0
2
0
0
4
8
57
57
57
56
0
0
8
8
1
8
8
10
10
2
24
1
0
8
24
0
0
0
0
1
1
0
0
0
16
16
16
0
0
18
2
0
0
0
8
8
8
16
8
14
2
2
18
1
4
16
16
16
8
8
0
0
0
0
8
8
16
32
32
0
0
8
1
1
16
16
8
8
8
10
0
16
16
16
8
8
8
8
16
8
16
8
16
16
16
0
0
8
8
8
8
8
0
0
0
0
0
0
0
0
0
4
16
16
16
16
0
16
2
2
0
0
4
4
4
0
1
1
0
0
0
4
4
1
1
1
0
0
16
0
4
4
0
0
0
2
4
6
1
8
32
24
24
24
16
4
4
4
2
8
8
0
8
8
8
4
0
0
8
8
16
16
16
2
8
0
8
12
0
34
34
24
8
32
0
0
20
16
0
1
0
1
1
1
1
32
32
56
4
4
4
8
8
8
8
8
2
2
2
2
16
0
16
4
4
8
8
0
0
16
16
16
16
1
1
2
40
16
16
16
16
16
0
8
32
0
0
4
24
8
0
4
4
4
4
4
4
4
4
8
8
8
0
2
2
0
16
0
0
2
16
16
0
0
8
22
22
16
16
16
32
0
0
4
4
0
1
1
1
1
1
0
16
16
32
32
32
0
8
16
16
16
20
16
0
0
8
0
0
0
0
16
8
0
8
8
8
8
8
1
1
0
0
1
32
2
2
2
2
2
16
16
16
8
0
8
16
0
8
8
4
0
0
4
24
2
2
0
0
0
0
8
8
0
0
0
1
1
0
16
16
16
16
16
0
16
4
4
16
16
0
0
0
9
9
8
4
4
0
0
0
0
16
0
8
1
1
1
1
1
1
4
4
8
8
32
32
16
16
16
16
0
0
16
16
21
48
48
0
0
0
0
0
16
4
4
1
8
8
8
8
8
16
16
24
24
24
16
16
16
16
16
8
4
8
8
0
16
16
0
17
4
32
0
24
24
24
8
8
8
8
8
8
0
0
16
2
8
8
8
8
8
16
16
16
16
1
16
16
16
4
0
0
0
0
0
0
0
32
32
32
16
16
8
8
8
0
0
0
0
0
8
8
16
16
16
16
0
0
0
0
8
8
8
8
8
0
0
0
8
1
1
1
0
0
0
16
24
8
8
8
8
8
8
8
8
8
40
16
0
0
1
0
0
0
0
8
4
28
28
28
8
8
8
16
16
16
24
8
18
24
24
24
16
16
25
8
2
2
2
0
16
16
16
16
0
0
0
8
8
8
8
0
0
16
8
8
0
0
16
16
16
0
6
4
4
4
4
0
0
0
2
2
8
8
8
8
16
8
0
0
1
4
4
4
8
0
8
0
16
16
16
24
8
16
16
1
0
32
0
0
16
16
16
0
8
8
4
8
8
8
8
8
0
8
1
1
1
1
24
0
0
0
16
16
16
16
16
0
8
8
8
8
0
8
16
0
0
20
8
8
0
0
0
8
8
0
20
16
16
8
8
3
0
8
8
0
0
4
4
0
0
0
8
8
8
8
12
12
8
8
8
8
32
48
32
32
1
0
0
1
0
2
8
1
9
0
0
0
16
16
16
4
4
4
4
0
0
8
8
8
8
8
4
8
8
2
4
0
0
0
0
0
0
0
0
8
24
24
24
24
24
24
24
8
0
8
0
0
41
2
2
2
0
0
0
2
2
16
12
8
2
20
16
8
0
8
8
8
0
8
8
8
8
14
16
16
16
16
16
16
16
16
16
16
16
16
8
8
8
0
4
4
24
16
4
4
16
16
16
16
16
0
2
8
0
0
4
16
24
9
1
16
16
16
4
4
8
8
2
0
0
16
16
4
4
8
9
16
0
0
0
0
0
8
1
1
1
0
8
16
1
1
32
8
8
28
2
0
8
9
4
0
8
2
0
0
0
0
0
0
8
8
8
8
8
24
0
8
32
48
0
4
16
8
0
0
0
4
8
8
8
8
0
1
16
0
0
0
0
0
28
28
8
8
8
8
60
0
4
1
21
1
0
0
0
0
8
8
8
8
25
25
25
0
0
0
0
0
20
0
8
8
8
8
16
16
16
16
4
12
0
0
8
8
8
8
8
8
8
8
2
2
49
0
8
0
8
8
16
0
8
0
4
4
16
0
16
16
0
0
0
0
0
0
0
8
8
8
42
0
0
0
0
0
8
1
1
1
0
8
8
0
0
16
16
16
16
24
4
0
8
8
0
8
8
0
2
1
1
1
0
6
12
4
4
16
8
0
1
16
0
26
8
12
8
8
8
0
32
32
32
8
8
8
8
8
8
8
16
0
2
2
3
0
0
2
0
0
0
0
0
0
0
0
4
4
32
16
16
16
8
6
8
1
1
1
0
0
0
0
8
16
16
16
5
5
16
16
16
20
20
8
8
16
8
3
3
2
0
0
0
8
8
0
8
16
8
8
8
8
8
8
8
4
0
8
8
8
8
8
8
0
16
0
8
16
0
8
8
8
0
0
1
0
49
49
49
49
8
24
24
20
20
20
20
20
0
0
4
28
4
4
0
0
2
16
0
8
8
37
37
0
20
20
20
20
20
8
8
8
8
0
8
8
0
0
8
8
16
0
0
8
8
8
8
2
2
2
8
8
16
16
16
8
8
8
8
0
28
28
28
28
0
0
0
0
0
0
0
0
16
4
0
17
16
8
8
2
2
8
24
8
8
8
16
18
8
8
8
40
32
32
32
32
32
1
11
10
1
17
4
6
6
24
0
8
0
0
8
16
16
8
16
16
1
0
0
8
0
0
0
24
0
8
8
8
0
3
0
0
8
0
0
16
16
16
2
2
8
8
8
24
8
8
8
16
16
8
8
12
12
22
12
12
8
8
8
8
8
0
0
2
0
0
8
8
16
16
16
0
24
9
25
0
0
0
0
32
8
4
32
33
8
4
8
8
4
0
0
8
8
0
16
0
0
8
8
0
8
0
16
16
16
8
8
0
0
8
8
16
8
0
8
8
4
0
0
32
32
24
24
16
16
0
8
8
8
16
8
16
8
24
16
16
4
22
18
18
0
0
16
8
8
8
8
8
17
16
16
16
16
4
0
0
0
0
0
18
0
32
32
0
0
0
0
1
0
0
5
16
8
1
32
32
32
0
0
24
4
8
16
16
16
8
8
8
8
8
8
8
8
8
4
4
0
12
17
17
0
9
9
16
8
8
4
4
0
0
6
0
16
8
4
8
0
0
1
4
1
1
0
8
0
30
30
30
2
2
4
4
8
48
48
0
0
0
16
16
8
8
0
16
16
16
57
17
16
16
0
8
2
26
2
16
16
16
0
16
0
0
16
16
8
1
20
16
8
8
8
2
2
0
1
1
8
8
8
0
2
2
2
2
2
0
0
32
8
0
8
0
0
24
2
0
20
16
16
0
8
12
8
2
1
0
0
0
8
0
8
8
8
24
8
3
0
0
0
32
1
8
8
8
8
4
4
24
0
0
16
16
16
24
4
4
8
1
1
1
8
4
0
16
16
16
16
16
16
16
16
8
8
16
8
8
16
16
4
4
4
4
4
0
48
1
0
0
16
16
17
16
8
8
0
4
0
16
16
0
0
1
8
8
28
8
8
8
20
4
4
8
0
8
8
4
8
1
1
16
0
0
0
0
8
8
16
2
8
0
8
8
8
0
4
8
0
0
16
0
8
8
32
32
32
0
16
16
16
8
8
0
0
4
4
4
4
4
0
0
4
0
0
0
8
8
8
8
8
2
0
0
24
0
0
17
17
17
0
0
0
0
0
0
8
8
8
17
0
8
16
16
16
16
0
8
0
0
0
8
8
16
16
16
16
2
28
4
4
0
1
0
0
0
0
0
0
0
8
4
8
8
8
16
16
16
0
0
0
2
2
2
8
8
8
0
0
4
20
20
16
16
16
16
16
0
0
0
21
0
0
0
0
16
0
4
1
1
1
1
8
0
0
0
0
0
0
16
4
2
0
1
1
1
8
0
0
0
0
0
16
8
24
24
8
8
8
0
8
8
8
8
8
16
4
4
33
8
16
48
48
48
4
0
16
16
2
0
0
0
16
0
0
0
0
0
0
0
0
0
0
4
8
8
8
8
8
0
16
0
0
0
0
8
8
8
8
16
8
12
4
9
9
0
0
0
8
2
2
16
16
22
22
22
22
8
8
8
8
8
0
0
16
0
8
8
8
0
0
0
0
0
0
8
8
9
4
8
9
8
16
0
4
4
16
8
24
20
4
16
16
16
0
0
8
8
8
8
8
0
0
1
1
1
0
0
8
8
16
16
16
0
4
4
4
4
4
4
8
0
8
8
8
8
0
0
16
16
16
0
16
16
0
0
16
4
0
16
0
1
1
1
0
0
1
0
8
8
40
8
0
0
0
0
0
0
16
16
16
0
32
8
16
16
16
16
16
16
8
8
0
0
19
2
0
4
0
0
0
16
8
8
0
0
0
8
8
0
0
32
32
4
0
0
0
0
16
0
0
0
0
24
4
4
4
4
16
16
17
16
16
16
0
0
0
2
2
8
8
1
1
1
1
1
4
4
4
0
8
8
0
8
20
20
8
8
8
8
38
38
0
8
3
3
16
16
16
16
1
1
1
1
0
20
20
0
0
8
0
4
4
4
8
8
8
8
0
0
0
8
4
8
12
8
8
17
16
0
32
8
16
16
16
8
8
16
1
4
6
7
16
16
8
1
1
1
1
0
8
0
8
1
1
24
0
8
8
8
8
8
8
0
0
8
8
8
0
8
8
8
8
0
0
2
2
2
0
16
16
16
16
1
13
24
24
0
0
0
0
0
4
0
8
0
0
0
2
8
8
8
2
8
8
0
8
16
16
16
16
16
16
8
4
0
0
16
16
16
0
0
0
0
0
0
8
0
16
1
1
1
8
8
8
8
8
9
6
16
0
24
24
24
0
0
8
8
8
16
16
16
16
24
32
32
32
32
1
8
0
3
2
0
8
20
0
0
0
0
0
4
4
1
0
0
28
8
16
8
8
0
0
8
8
8
8
8
4
0
8
0
0
2
8
8
8
8
8
0
0
8
8
8
12
12
12
12
12
0
0
0
0
0
1
16
16
0
12
0
0
0
1
0
4
4
1
1
0
0
0
0
0
0
0
0
0
0
16
1
1
4
4
1
1
1
16
16
2
16
0
4
61
16
4
4
2
2
16
8
16
16
8
8
16
16
16
16
16
16
0
8
8
8
8
0
0
20
20
16
4
12
8
6
0
0
0
8
0
0
16
4
16
16
24
24
16
0
0
16
16
8
8
1
1
2
8
8
0
0
0
0
0
0
4
4
4
4
8
8
8
4
4
0
0
8
16
10
10
10
8
4
8
24
0
0
8
0
0
25
24
16
16
0
0
32
2
0
0
1
0
3
3
3
3
3
0
0
8
8
8
8
12
12
12
0
2
2
0
18
22
16
16
16
4
4
4
0
0
48
48
48
0
0
8
8
4
4
0
0
8
8
8
0
8
16
16
16
28
8
24
8
0
40
40
16
1
1
15
24
0
0
0
8
8
8
8
1
32
16
1
0
0
24
0
8
8
8
8
0
0
0
0
4
0
8
28
8
0
0
0
0
52
8
8
8
8
8
4
4
4
0
0
20
0
8
8
8
0
0
0
8
8
8
8
8
8
16
0
0
0
16
8
8
8
16
8
8
0
0
0
1
1
16
8
0
0
0
0
0
0
0
0
0
0
0
16
16
8
8
4
0
0
0
0
0
0
0
0
0
0
13
9
9
2
2
1
1
8
8
8
8
8
8
8
16
8
0
0
4
8
8
8
8
32
41
0
16
16
16
8
16
16
16
16
1
1
16
8
4
4
4
0
0
0
0
0
0
8
8
8
8
52
52
2
2
0
8
16
2
2
2
16
16
0
0
0
2
8
8
8
8
18
0
0
16
16
0
0
0
0
0
1
0
0
0
0
0
0
0
8
8
0
0
32
32
16
16
0
16
16
24
24
0
4
8
0
0
16
16
16
0
0
0
0
0
0
16
0
8
1
0
0
0
0
0
8
1
17
16
16
0
16
16
16
8
0
8
8
0
0
16
16
0
0
0
0
2
2
8
8
2
2
0
0
0
0
0
0
0
0
3
0
0
0
0
0
0
0
0
0
0
0
3
3
0
0
0
0
16
16
16
16
0
8
0
8
8
8
16
16
16
8
8
8
16
16
16
0
0
8
24
1
1
24
8
8
2
16
4
4
4
12
12
16
16
16
0
0
0
4
2
2
2
2
8
24
8
8
8
8
8
8
8
8
4
8
0
0
16
8
8
2
2
2
2
2
8
8
0
0
8
0
1
0
0
0
0
0
12
12
12
8
8
16
16
17
17
0
0
32
32
32
32
4
8
2
2
0
16
16
4
0
16
16
48
8
13
4
0
0
0
8
24
8
8
16
16
3
4
0
16
16
8
1
1
1
1
1
1
1
1
0
0
0
24
0
0
0
0
4
0
0
0
16
0
0
0
0
1
8
8
8
0
4
4
0
4
4
12
8
12
0
0
0
8
8
0
0
0
16
12
8
8
1
8
0
0
0
0
8
8
8
8
2
2
16
8
8
8
0
0
16
0
0
16
16
16
16
16
8
8
8
8
4
16
16
16
0
0
0
1
1
0
0
0
16
16
48
48
8
8
8
8
0
0
40
8
4
4
4
4
0
0
0
16
16
8
8
8
8
0
0
0
0
0
0
0
6
2
2
16
16
4
8
1
1
16
33
45
33
8
1
1
32
0
8
8
8
8
8
8
8
0
8
0
17
17
22
22
0
0
0
0
2
2
2
8
0
0
2
2
2
2
24
16
16
16
16
1
0
0
8
1
8
16
32
32
25
8
8
0
8
8
16
0
0
4
4
16
8
24
16
16
0
4
8
16
16
1
17
17
1
0
0
0
0
16
16
16
16
8
40
3
16
16
16
16
16
1
4
0
0
0
0
0
0
16
16
18
8
24
16
16
16
16
16
0
2
0
0
0
4
8
16
8
8
0
0
8
24
4
4
4
16
0
4
4
16
4
4
8
16
24
8
8
8
0
2
0
0
0
0
0
0
0
4
4
8
8
48
8
8
0
0
8
8
8
8
8
8
8
8
0
0
0
36
4
4
4
0
2
2
2
32
1
1
0
32
32
2
12
0
0
0
16
18
16
8
8
8
8
0
20
4
4
4
24
24
8
8
2
2
18
2
0
0
0
0
8
0
0
16
1
1
4
16
8
8
16
0
4
4
4
8
8
8
8
4
4
32
24
16
8
24
8
0
0
8
8
8
0
0
4
0
8
8
4
12
4
0
0
0
0
17
17
17
0
2
1
1
8
32
40
4
4
8
10
16
20
0
8
8
0
0
0
8
16
16
16
0
0
0
0
0
8
4
4
8
8
16
16
16
16
16
0
0
0
0
10
8
8
8
8
24
8
8
8
4
1
16
16
16
24
0
0
8
16
8
12
12
12
12
12
12
12
12
12
9
0
8
4
8
4
16
16
8
0
0
0
0
0
0
30
6
0
0
0
0
0
0
0
16
20
20
20
20
16
0
4
4
0
32
4
8
8
0
16
0
16
0
15
17
0
8
2
2
2
4
4
4
2
4
4
4
4
4
4
4
16
16
0
8
0
8
8
8
4
0
1
1
4
4
0
0
0
0
16
16
16
2
4
4
4
8
4
4
4
4
2
2
2
2
4
16
0
24
8
1
1
0
0
0
16
8
8
8
8
8
16
16
16
52
16
0
0
0
0
8
8
16
16
8
8
16
16
2
0
8
4
4
16
8
20
0
0
0
2
0
1
16
8
2
2
6
16
16
3
3
3
1
0
0
0
0
0
0
28
28
8
8
8
8
0
0
8
8
0
24
8
16
0
0
16
16
16
16
0
16
0
2
0
0
0
0
9
1
0
0
16
16
16
16
16
0
0
0
0
0
24
39
1
10
4
2
9
0
50
50
50
50
2
2
2
8
8
4
1
1
4
4
0
0
16
16
34
24
16
1
16
0
0
0
0
20
0
24
32
0
0
16
16
16
2
2
4
0
0
0
0
8
8
8
0
0
0
2
2
2
0
16
0
0
0
30
30
30
32
16
16
16
4
4
4
0
4
4
5
13
0
16
16
16
8
24
24
2
2
8
8
0
4
1
1
8
25
16
0
8
8
8
10
24
24
24
24
24
8
8
0
0
0
0
16
16
16
16
16
1
1
1
0
0
16
8
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
16
1
16
16
16
24
16
0
0
0
16
8
4
16
16
16
8
8
16
16
16
16
16
16
16
4
4
0
8
16
8
8
8
8
0
8
0
0
0
0
0
16
16
16
16
18
8
1
16
16
16
16
16
16
2
2
2
27
0
0
8
1
16
16
3
3
8
8
0
8
24
8
8
8
0
0
0
8
8
0
8
8
4
4
4
4
7
24
8
8
10
10
8
0
1
0
0
4
4
4
0
8
17
0
18
18
0
8
16
16
8
8
8
0
0
8
8
24
4
0
16
8
0
0
8
4
16
16
8
1
1
0
0
0
0
0
8
8
16
0
16
16
16
8
8
8
0
8
8
8
8
8
0
8
16
0
12
2
2
0
0
0
1
1
1
1
16
16
0
0
0
0
0
0
0
8
16
4
8
8
8
0
0
16
8
0
8
8
8
0
0
0
8
8
8
8
0
34
8
0
16
16
0
16
8
8
8
8
8
8
8
0
0
0
0
0
16
16
16
16
9
16
0
0
0
8
0
0
16
16
16
4
4
4
4
4
4
16
16
16
5
5
8
8
16
16
0
0
8
0
3
2
24
8
8
0
0
16
8
0
4
4
4
4
16
8
16
16
16
0
0
0
0
16
8
16
1
8
16
16
16
8
0
0
0
16
0
8
8
4
0
16
12
30
0
0
8
0
0
0
0
0
0
0
0
0
0
4
4
4
8
0
0
16
16
0
0
16
0
0
8
0
16
2
16
16
0
0
10
10
8
8
0
0
8
0
16
1
0
0
0
1
1
8
8
8
8
8
16
16
16
1
1
1
0
0
8
8
8
8
8
8
8
8
0
2
2
2
1
8
1
16
16
0
0
0
0
4
4
1
16
16
18
18
18
8
2
19
0
0
0
0
8
0
0
8
8
0
0
0
0
8
8
8
8
8
8
8
1
32
17
1
2
2
2
2
24
24
24
16
16
0
0
0
0
4
4
4
4
4
4
4
8
2
8
8
8
8
8
12
8
8
8
16
16
16
0
16
16
16
8
8
8
8
8
40
40
48
16
1
0
33
8
0
8
8
8
0
4
4
20
4
4
4
8
2
2
0
0
0
19
16
0
40
8
18
4
4
0
8
0
4
4
0
0
0
0
0
8
8
16
0
8
8
0
20
20
8
8
9
9
0
8
8
8
8
8
8
16
16
0
16
1
1
1
0
1
24
24
0
0
0
8
20
16
8
8
0
0
2
2
0
8
2
13
8
8
8
8
8
8
8
20
9
8
0
0
1
1
1
1
1
1
1
16
0
0
2
8
8
48
48
2
8
16
16
16
16
0
0
1
12
20
0
0
20
20
6
6
8
8
8
8
8
8
12
8
0
0
9
0
0
0
0
17
17
8
8
0
1
1
1
16
16
8
0
0
16
16
16
16
16
2
8
8
8
16
16
8
8
24
24
8
16
0
24
8
0
0
8
8
8
0
0
8
8
8
8
8
8
8
2
16
16
16
0
2
16
16
16
16
0
8
2
2
2
8
8
8
8
0
0
8
8
12
8
8
8
0
0
16
0
0
1
8
16
16
16
16
16
16
0
0
16
16
16
0
16
8
0
8
8
0
1
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
24
1
1
1
0
0
0
4
4
24
24
24
24
24
24
8
8
16
16
8
17
8
8
0
16
16
16
16
16
16
0
0
16
1
1
32
0
1
8
8
16
16
16
39
0
2
2
8
4
8
16
16
16
1
1
16
1
8
16
16
24
2
18
18
4
4
4
4
4
4
16
1
16
16
16
8
8
4
8
8
0
8
1
4
0
20
20
20
8
8
1
8
8
8
16
8
1
17
8
8
0
0
0
32
0
0
8
0
0
4
4
4
56
0
16
8
1
24
2
2
8
8
8
8
8
0
0
0
16
0
4
8
8
16
0
0
1
8
8
8
8
8
8
16
16
8
8
25
25
0
16
16
1
16
16
4
8
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
8
10
32
16
16
16
16
4
8
8
16
8
8
8
0
16
16
16
8
8
9
8
8
0
8
8
1
1
1
32
32
32
32
8
8
0
8
8
0
0
32
0
0
3
3
16
0
0
8
8
8
8
0
32
32
16
0
0
16
0
8
8
8
8
8
16
16
16
2
1
1
2
2
0
0
0
0
0
4
4
0
0
0
0
8
0
0
1
0
2
4
2
2
17
32
32
32
32
32
32
32
32
32
32
32
9
9
9
16
32
8
4
0
0
8
8
0
8
8
16
16
16
32
32
16
16
4
0
0
16
4
4
4
0
8
32
32
40
0
0
20
0
0
16
16
16
16
16
57
2
2
2
8
8
0
8
0
16
8
8
0
0
0
32
32
0
8
8
8
0
24
24
0
0
0
16
0
4
8
8
8
8
8
8
8
8
8
0
0
10
2
0
16
24
24
0
0
8
0
8
8
8
8
8
0
8
8
8
8
0
2
19
40
0
4
4
4
4
4
1
1
1
0
0
0
0
0
0
16
8
0
0
0
4
2
0
0
16
16
4
0
0
0
12
8
0
18
8
0
8
8
1
1
1
1
1
1
16
0
0
4
0
0
0
4
4
1
1
16
16
0
8
8
8
8
8
0
1
0
4
4
4
4
2
2
2
8
9
0
16
17
17
0
0
16
16
16
0
0
4
0
16
16
16
16
16
0
8
8
24
0
2
2
16
16
16
4
4
4
0
0
8
8
16
8
8
24
4
4
24
8
8
8
32
32
32
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
21
26
26
0
1
1
1
0
0
0
0
36
1
4
4
4
20
8
16
8
8
12
0
0
0
0
8
0
0
2
2
0
0
0
16
16
0
16
8
0
4
44
0
0
0
0
1
1
1
1
1
1
0
8
8
8
8
0
16
2
20
17
8
8
8
8
0
0
8
8
8
8
8
4
8
16
4
0
24
0
31
8
8
4
8
8
8
8
8
16
4
4
1
0
8
8
0
2
0
0
8
8
8
8
13
13
4
16
20
20
20
20
20
20
20
16
32
8
0
0
8
4
4
1
1
0
0
0
1
0
16
16
3
3
0
0
16
18
16
16
8
8
16
16
16
16
8
1
18
18
0
16
40
16
0
17
16
16
16
16
8
8
8
8
18
16
16
0
0
0
0
4
4
4
0
0
0
0
16
16
16
16
16
8
0
0
16
16
16
29
0
8
8
8
8
0
0
0
12
16
0
0
0
0
0
0
0
0
16
16
16
1
0
0
4
8
0
8
8
0
4
0
4
0
8
8
0
32
4
8
2
2
2
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
16
16
16
16
16
0
16
16
8
0
0
0
0
0
16
0
0
16
0
8
1
16
16
9
9
9
9
1
1
8
8
8
1
3
4
16
1
10
10
10
24
8
8
0
0
0
4
2
2
2
0
0
0
0
0
20
20
12
4
2
8
28
16
4
4
0
0
0
24
24
8
8
8
0
16
16
0
8
8
8
8
8
16
16
16
8
8
8
16
16
0
16
8
8
32
16
32
32
17
17
1
8
16
1
0
16
16
16
16
16
8
8
8
8
4
12
12
8
8
8
16
16
16
2
4
4
8
8
8
8
16
17
17
8
0
4
8
16
8
8
8
8
8
0
0
0
0
0
0
4
16
8
5
16
16
16
16
16
4
16
16
16
0
2
2
16
0
8
0
0
0
0
1
1
16
0
16
16
1
16
3
8
8
8
8
8
8
0
2
2
2
8
8
8
0
0
1
1
24
1
1
26
8
8
16
16
8
8
6
1
8
8
8
32
0
4
8
8
4
49
49
0
16
16
4
0
8
16
9
1
16
16
16
0
0
8
8
16
0
0
2
2
2
2
2
0
0
8
8
16
4
0
8
8
8
9
8
8
20
16
8
8
8
8
0
0
0
0
0
0
0
0
1
1
1
2
2
0
0
8
16
16
8
0
0
8
0
20
4
4
32
0
0
5
5
2
0
0
18
18
16
24
24
8
4
4
0
1
8
8
16
16
16
2
0
2
2
2
0
4
0
0
1
16
18
16
16
16
1
1
12
0
9
2
11
1
0
0
8
8
17
52
17
0
9
0
0
8
16
8
2
2
16
8
16
16
16
16
0
0
8
8
16
16
16
16
16
16
4
1
8
0
0
0
8
8
8
8
8
8
16
0
0
0
0
0
8
8
8
8
8
8
16
0
9
1
8
2
16
0
8
8
8
16
16
4
8
0
0
16
0
0
8
16
0
8
8
0
0
4
4
4
18
18
16
48
48
0
16
16
24
16
4
1
1
1
61
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
1
1
8
8
2
18
8
8
8
0
0
0
8
0
0
0
0
0
56
16
16
17
17
17
17
16
12
16
16
16
16
16
16
16
16
16
16
16
16
16
32
8
8
8
8
8
8
0
0
0
0
0
0
0
8
0
0
16
0
0
0
0
0
8
0
4
4
8
1
1
4
4
4
4
0
0
0
0
1
1
8
8
8
8
0
0
8
8
0
0
8
41
41
4
4
8
8
8
8
0
0
0
0
2
2
8
8
0
4
4
4
0
0
8
8
8
8
0
8
8
0
1
12
8
0
0
8
16
2
0
0
16
16
0
40
40
40
2
16
8
8
8
0
0
0
8
0
0
0
0
0
0
16
8
8
8
0
0
0
16
24
16
22
8
12
12
24
24
24
24
29
0
0
0
8
0
16
16
16
0
8
8
8
8
8
2
0
0
0
0
0
0
9
9
9
8
8
8
2
32
32
16
16
8
2
2
18
18
0
0
8
8
8
8
8
1
4
63
0
8
8
8
8
0
0
0
8
40
0
0
0
0
0
16
16
2
16
16
8
8
8
8
17
16
1
0
8
9
1
0
0
4
0
0
16
16
16
4
32
0
1
0
0
8
8
16
16
16
16
16
8
8
8
8
0
32
8
1
8
16
4
8
8
1
1
16
16
4
16
8
8
8
17
16
8
2
2
2
17
24
24
20
0
0
0
8
8
16
21
0
0
17
8
16
0
0
0
0
0
0
10
10
1
1
0
0
4
12
2
2
2
16
16
16
32
8
8
8
0
16
8
8
8
8
8
34
48
16
16
8
16
16
16
16
1
0
4
8
16
16
16
16
4
24
24
24
16
16
9
9
9
9
0
4
4
4
16
16
8
8
8
0
12
12
0
0
8
2
2
2
8
8
8
8
8
8
18
8
8
8
8
0
0
0
0
0
8
4
43
43
1
16
16
16
16
16
16
16
16
16
16
16
8
24
24
8
8
0
0
0
0
16
4
0
25
8
8
2
8
4
20
4
4
0
32
32
16
16
8
0
8
0
8
16
8
0
0
0
16
16
0
8
8
0
8
8
0
0
4
4
8
0
12
16
16
16
20
8
8
0
0
0
0
0
0
0
0
0
16
0
16
8
0
2
2
2
2
0
0
0
14
14
0
0
0
8
8
16
16
16
0
8
33
1
1
1
1
1
0
0
1
0
0
0
0
18
0
0
0
9
8
8
0
0
1
0
0
0
0
0
0
0
8
8
32
8
0
8
8
8
16
16
8
0
0
4
4
4
8
0
0
16
16
8
8
8
8
8
8
24
24
16
16
16
4
8
8
8
8
16
16
0
1
1
0
1
0
24
0
0
8
8
1
1
0
12
12
16
16
0
0
2
0
0
1
1
1
2
2
2
4
16
20
12
12
12
4
4
4
4
0
0
4
8
8
34
0
0
16
16
16
16
16
16
16
16
17
17
17
17
4
16
8
16
16
8
0
0
8
8
0
16
1
1
1
1
1
0
8
8
4
4
4
4
4
0
16
16
16
16
16
32
8
8
4
4
28
28
0
4
16
16
16
16
16
0
0
20
4
4
8
12
0
4
4
12
4
2
2
0
0
0
16
16
8
8
16
16
0
4
2
8
16
16
16
16
16
16
16
16
8
8
32
32
8
8
32
32
32
32
8
16
32
33
0
0
25
0
0
0
8
0
0
0
2
2
2
2
1
1
16
16
16
0
8
8
1
17
0
0
0
16
0
0
0
0
0
8
8
20
20
0
0
0
0
0
12
12
12
6
16
16
8
8
8
12
16
8
8
8
8
20
6
6
0
0
0
1
1
19
1
0
24
24
0
0
0
0
16
16
16
8
0
8
8
32
0
48
0
0
0
2
2
8
8
8
8
16
0
4
4
4
4
8
16
29
0
0
8
28
0
0
0
16
0
16
0
4
0
0
8
9
21
1
0
0
16
8
8
8
8
8
16
16
0
16
16
16
16
2
2
2
2
2
17
1
17
16
16
16
16
2
18
18
18
0
8
8
8
16
16
16
4
16
16
0
0
17
17
1
9
1
0
0
0
0
0
33
0
2
1
9
0
8
8
24
12
32
8
8
8
0
2
2
8
8
8
0
20
16
16
32
16
2
2
1
1
4
1
1
1
1
0
0
4
1
0
8
0
0
0
0
2
0
2
2
0
0
16
16
1
1
1
24
25
8
8
8
8
2
20
4
16
16
9
9
8
8
8
8
8
0
0
8
8
8
8
4
8
8
12
8
8
40
4
8
1
1
1
1
8
8
8
1
32
32
4
4
4
0
8
0
8
16
0
8
8
8
16
3
40
40
32
0
4
0
33
8
8
8
8
8
8
28
0
8
28
8
8
16
0
8
32
16
16
16
16
16
16
8
9
4
16
0
8
0
0
0
0
0
16
32
32
32
32
32
32
16
16
4
0
1
16
16
0
0
0
0
0
8
16
0
8
8
40
40
40
40
40
40
0
0
0
4
4
24
24
8
8
8
8
8
2
2
2
40
56
56
56
56
24
8
8
0
0
0
0
4
32
32
2
2
4
4
7
4
0
16
16
4
4
0
0
0
0
8
8
8
16
16
0
24
0
0
40
40
40
1
20
20
12
24
24
16
20
16
16
17
17
17
17
17
8
0
0
0
0
0
16
0
16
0
24
16
0
0
0
0
0
4
22
8
0
0
0
2
16
2
0
0
0
4
4
4
4
4
4
4
4
16
16
16
16
16
8
8
0
8
8
8
16
16
16
24
0
0
0
0
0
0
0
0
3
4
32
32
0
0
0
0
0
0
16
8
0
0
4
0
0
0
0
16
16
0
8
8
0
0
0
0
8
0
0
20
30
30
30
30
19
0
2
2
2
16
8
0
4
4
4
4
0
0
0
0
4
16
0
16
0
0
2
1
16
16
20
24
0
0
16
16
16
4
8
3
3
1
1
1
0
0
2
0
16
16
16
24
24
0
4
4
8
16
32
20
16
8
8
8
0
0
0
8
0
10
10
34
32
4
4
2
2
0
8
8
8
8
49
49
49
16
16
0
4
4
0
0
0
8
0
0
0
8
20
0
0
16
16
0
0
2
2
2
40
0
0
0
1
1
12
8
0
0
1
1
17
2
2
2
2
2
8
0
17
0
8
0
32
16
8
1
16
16
16
16
8
8
1
1
1
1
8
8
0
16
4
0
24
16
0
0
0
8
0
16
16
16
0
4
8
8
8
8
0
0
1
0
0
0
8
8
8
0
8
8
8
8
4
24
16
0
25
8
8
8
0
0
0
0
56
40
16
2
8
24
8
8
0
22
16
14
32
32
4
4
16
16
2
16
8
0
0
0
0
0
32
20
20
0
0
8
2
2
2
2
2
2
2
2
2
2
8
0
8
34
33
0
0
0
0
0
9
2
2
2
32
2
0
0
16
32
0
0
0
8
8
8
8
8
24
0
0
0
23
1
1
0
8
0
0
8
16
16
16
8
8
8
8
8
8
0
0
4
16
16
16
0
0
0
2
2
16
16
16
16
8
8
8
8
8
8
16
0
2
8
8
1
1
19
8
16
8
8
8
16
1
1
0
1
4
4
8
2
10
2
1
0
0
0
0
8
8
1
1
26
8
0
8
8
8
8
19
19
19
16
16
16
2
0
2
16
8
24
8
16
16
4
4
16
16
33
33
33
8
8
8
16
0
16
16
16
0
8
8
16
16
8
8
8
8
0
0
0
17
0
0
0
2
8
8
8
8
8
8
0
0
4
4
0
0
0
0
0
8
8
8
8
16
0
0
0
2
2
0
16
16
16
16
8
44
0
8
4
8
8
8
8
8
8
8
8
16
4
4
4
4
16
8
8
8
8
8
8
0
8
16
8
0
0
16
0
0
16
16
16
16
0
8
8
44
32
32
32
2
18
18
18
0
0
0
16
12
8
8
0
4
4
0
1
9
0
0
0
0
0
0
8
8
8
8
8
8
0
8
48
48
28
28
28
0
0
0
0
0
0
4
0
8
0
0
0
1
0
0
0
16
17
16
16
16
8
0
0
8
8
8
8
8
4
0
0
0
4
4
4
0
16
16
2
8
8
8
8
8
8
8
4
4
4
4
0
8
49
20
16
16
16
16
16
16
0
8
8
21
21
8
8
0
0
16
16
9
9
8
2
2
8
0
4
4
16
16
0
0
32
32
24
24
4
0
0
16
16
16
16
16
16
0
0
0
16
8
44
4
4
8
8
24
0
0
0
0
16
8
0
16
8
0
0
8
16
16
48
8
8
0
20
1
1
1
1
8
16
16
16
16
16
16
16
16
0
6
4
0
4
0
0
1
1
8
4
4
24
24
8
4
4
4
4
4
4
8
8
8
8
0
0
0
8
8
0
0
16
0
2
2
16
8
16
16
24
8
1
8
8
16
8
0
16
16
8
8
1
0
0
0
0
0
0
1
1
1
1
8
8
8
0
0
8
8
0
40
0
0
8
16
16
4
0
0
0
16
8
8
8
8
8
0
8
0
8
0
0
0
0
0
16
16
8
4
4
4
0
1
8
8
8
8
0
0
0
2
2
0
8
0
8
0
8
0
0
8
8
24
0
0
4
20
0
28
28
28
28
8
0
0
0
8
8
2
2
1
16
16
16
16
16
16
8
8
8
32
8
8
1
2
0
0
0
16
0
4
0
1
1
2
2
30
30
16
16
16
2
0
8
8
8
16
4
4
16
16
9
8
8
8
8
8
8
8
18
20
20
16
4
8
8
8
1
0
0
16
28
8
8
24
12
8
1
1
48
0
0
8
8
8
0
1
1
1
1
1
1
1
20
16
16
16
0
24
24
0
8
40
8
16
2
2
0
0
0
8
0
8
8
8
8
8
0
4
16
24
24
0
2
1
1
4
4
4
8
32
32
32
32
0
0
4
4
4
8
8
8
8
0
0
0
8
16
0
0
8
8
0
8
16
16
16
6
16
16
16
16
0
0
0
6
6
4
4
4
4
0
16
16
0
32
32
32
32
4
4
8
0
32
16
16
8
16
0
2
8
8
8
8
16
2
28
8
1
1
1
1
1
16
0
16
16
16
1
0
8
8
16
16
16
16
0
0
8
8
0
0
4
4
4
0
10
10
10
0
4
19
19
12
12
8
33
8
0
1
1
0
17
0
0
1
8
8
8
8
8
16
16
16
16
0
8
8
8
8
0
0
4
4
4
4
0
0
4
8
0
57
57
57
57
1
8
8
8
0
8
8
24
8
0
0
0
2
0
16
24
4
8
0
4
32
2
16
24
8
8
8
8
8
20
16
0
8
8
8
8
8
8
16
4
8
0
16
16
8
2
2
2
2
6
0
0
0
0
8
8
4
8
2
16
16
16
16
0
16
2
6
4
4
4
4
4
4
0
0
0
16
16
16
10
1
1
8
0
16
16
16
16
40
32
32
5
16
8
8
8
18
17
0
8
8
0
0
32
16
16
0
8
4
4
4
4
4
8
4
32
32
0
0
0
4
8
4
8
4
0
0
28
8
4
4
2
8
0
0
0
16
16
12
12
16
32
16
24
16
16
16
16
30
30
30
30
1
8
8
0
1
3
24
4
4
4
4
4
4
4
8
8
8
0
8
0
0
0
0
16
0
2
4
8
8
8
4
4
4
4
16
16
0
1
16
16
24
16
57
32
4
4
0
2
16
48
48
48
48
16
16
16
4
2
0
0
0
3
3
3
20
16
8
0
0
32
48
48
32
0
16
16
16
16
2
2
2
2
2
2
24
8
16
0
0
8
8
0
0
0
4
2
16
0
8
0
8
0
0
0
32
8
0
8
16
16
0
0
0
2
8
20
20
52
20
20
24
24
25
0
0
0
0
0
0
0
8
0
2
1
1
0
0
0
2
2
2
16
24
16
16
16
16
16
2
0
8
8
18
1
1
0
16
1
1
0
24
16
16
16
16
18
16
16
24
16
16
0
26
2
0
8
0
0
16
0
0
4
4
4
4
18
18
18
0
4
4
0
0
32
32
32
0
4
2
0
32
32
32
24
8
0
20
0
16
16
16
16
16
16
0
8
2
2
2
4
4
4
20
20
2
6
6
8
16
0
16
8
8
0
0
16
16
8
8
8
8
0
1
1
1
1
8
0
0
0
8
0
4
4
4
4
4
0
13
13
13
13
13
4
23
0
26
8
0
8
8
8
8
0
5
4
4
4
8
8
8
1
8
8
8
0
48
8
0
0
0
8
2
2
2
2
2
24
24
24
0
4
4
24
16
2
8
8
8
12
16
8
8
0
56
56
0
0
0
0
0
0
8
8
8
8
8
6
16
8
8
8
8
8
8
8
20
20
8
8
8
0
16
0
16
0
0
0
4
16
8
4
16
8
8
16
0
0
0
0
0
0
16
0
0
4
1
16
16
16
0
0
0
37
33
8
8
1
4
8
8
8
8
30
30
6
4
4
8
0
0
0
4
4
4
16
1
8
8
0
0
16
16
16
4
0
0
0
4
8
16
16
16
16
16
4
0
0
0
57
57
0
0
8
8
1
4
4
2
1
8
8
21
8
8
0
2
8
12
8
8
1
8
8
8
8
16
0
0
0
0
0
2
2
2
8
0
32
16
16
16
16
16
16
16
4
0
4
32
1
1
8
8
20
4
4
8
8
8
8
8
8
0
20
4
16
20
0
0
8
8
8
8
8
8
8
8
9
1
16
16
0
0
8
8
16
8
8
8
8
20
4
40
40
0
32
0
8
8
16
16
16
0
24
24
16
0
0
8
0
0
0
0
8
8
8
8
16
16
4
1
1
1
0
0
0
0
0
1
16
16
16
16
4
0
0
0
0
0
0
0
8
8
0
8
8
8
0
0
0
0
8
8
8
0
8
8
8
8
8
4
0
0
0
0
8
8
0
0
0
4
28
8
8
8
8
8
8
8
8
0
32
32
32
32
32
0
0
0
0
32
32
32
32
0
1
0
1
1
1
16
16
16
16
8
8
4
4
0
0
0
8
8
8
8
8
8
8
8
16
0
4
4
4
0
0
0
0
0
0
16
16
8
8
16
0
62
0
4
4
4
4
0
0
8
8
0
0
0
0
0
16
16
8
8
8
8
8
8
8
0
8
8
8
8
20
20
0
0
8
8
8
24
0
0
8
0
4
2
16
32
32
32
24
24
36
0
8
32
8
4
4
0
0
2
16
0
0
0
1
20
0
8
0
8
8
8
8
4
4
4
0
8
0
8
1
33
0
0
20
20
1
8
8
8
0
0
0
0
8
16
16
16
16
8
8
1
1
16
4
0
8
1
1
32
0
8
0
8
0
0
4
4
4
4
0
8
0
8
8
0
35
35
16
0
2
0
0
8
16
16
8
8
22
16
0
16
16
0
1
1
1
1
0
0
6
8
8
8
8
8
8
8
8
0
0
0
16
32
4
16
16
0
0
16
8
8
8
8
16
0
0
0
16
21
21
0
8
1
16
16
16
32
32
0
8
8
0
8
0
8
8
0
0
16
16
16
0
0
8
16
16
16
16
2
0
8
8
1
1
32
32
0
16
8
8
8
8
16
16
16
16
16
8
8
8
8
8
8
8
8
4
16
0
2
2
32
16
16
0
8
0
0
16
8
8
0
0
4
4
16
16
8
8
8
8
8
8
0
0
0
32
0
16
0
17
56
16
16
4
4
25
16
16
0
0
16
16
8
2
2
2
2
17
17
0
2
20
20
20
8
8
33
33
37
5
8
8
8
8
8
8
0
16
9
4
0
0
16
0
0
8
16
20
0
8
16
8
32
0
0
0
16
16
8
0
0
1
1
4
0
24
24
16
0
0
0
0
19
8
8
8
8
8
8
4
1
1
20
0
4
0
0
16
8
8
16
8
16
0
0
0
1
4
4
16
0
0
0
20
20
20
16
8
8
16
1
16
8
8
8
8
8
1
16
16
1
8
16
16
8
24
8
0
16
2
16
20
0
8
8
16
16
8
8
8
8
0
8
0
1
1
53
8
8
8
0
0
0
0
0
16
8
1
16
16
16
8
0
16
16
40
40
0
16
16
16
48
56
16
0
0
8
17
17
17
8
0
1
4
0
2
32
32
4
12
0
16
16
16
17
17
0
24
4
8
16
1
1
1
1
3
8
8
8
24
24
0
0
56
28
28
16
8
8
8
0
0
16
0
0
0
0
12
12
12
12
12
9
32
2
2
0
0
16
16
0
0
0
16
0
0
24
16
16
0
0
0
0
0
2
2
16
16
16
16
0
0
1
1
8
8
8
8
20
16
0
16
16
0
8
4
16
19
16
18
16
1
0
0
8
8
8
8
16
4
16
16
0
16
0
6
8
0
1
24
8
16
0
0
8
28
28
28
0
8
8
20
20
20
20
0
0
1
1
8
8
8
32
32
28
8
8
8
8
16
16
16
24
24
24
0
8
16
0
16
16
16
16
16
16
16
16
0
0
0
0
8
8
1
1
1
20
16
0
0
0
0
33
33
33
0
0
0
0
8
34
32
32
0
0
0
4
4
4
16
1
1
1
16
16
16
8
8
8
1
1
0
0
0
0
0
0
16
20
16
16
0
0
37
16
53
0
8
8
0
4
4
18
18
0
2
2
0
17
4
4
0
8
8
8
8
8
8
32
0
4
4
5
8
8
0
0
0
16
8
8
8
0
4
24
8
4
4
0
0
0
0
9
1
4
1
32
8
16
0
8
4
4
32
16
25
0
0
4
4
1
0
0
0
0
8
8
8
8
9
9
0
0
0
0
0
0
0
0
2
8
4
2
0
0
0
16
8
31
32
8
8
0
0
16
8
16
16
16
16
16
16
16
8
8
0
0
0
0
0
0
0
0
0
44
4
0
0
0
8
8
8
16
0
0
0
0
16
16
16
8
8
8
16
6
6
0
0
4
4
4
4
0
16
16
0
1
1
8
0
0
0
0
0
16
16
16
10
10
10
10
0
0
0
4
8
0
17
1
1
1
16
16
8
0
16
16
16
16
0
8
8
4
0
0
1
1
8
8
8
8
0
32
32
32
0
8
9
0
16
16
16
8
0
8
0
0
8
8
0
0
8
16
16
0
1
1
1
0
1
16
0
8
8
8
8
8
8
0
8
8
8
8
8
0
29
8
16
8
8
8
16
16
0
8
2
8
0
0
0
8
8
8
32
1
1
2
2
2
9
16
8
8
2
2
0
8
8
8
16
1
1
16
16
8
0
0
0
16
16
16
16
6
4
4
1
1
1
1
24
1
48
48
48
8
8
8
0
0
0
2
2
2
2
0
0
8
0
16
16
6
6
6
6
8
0
8
8
8
8
16
16
16
24
8
8
8
8
8
0
0
0
8
4
4
4
16
0
0
0
0
8
8
8
24
24
0
0
0
0
0
8
16
16
4
5
4
4
8
8
18
8
16
16
16
8
4
4
4
8
8
8
4
4
4
8
8
8
8
0
8
8
2
2
2
2
0
4
0
0
0
0
8
8
8
16
9
16
33
0
31
16
8
8
8
8
0
0
1
4
4
4
8
8
0
20
20
48
8
16
8
4
4
4
8
8
8
1
8
0
0
2
2
2
9
9
40
42
42
0
0
0
16
16
1
1
1
0
24
8
8
8
8
8
8
20
0
25
0
8
8
8
8
8
16
8
8
8
8
8
24
16
8
8
16
0
4
24
24
0
8
10
8
8
8
8
8
8
8
8
8
16
9
9
9
9
0
0
16
24
32
32
32
32
32
32
32
0
0
8
8
0
1
9
0
10
4
0
8
4
4
1
1
10
10
8
2
0
16
1
17
4
13
4
16
16
16
2
0
0
0
0
8
8
8
8
1
20
20
20
0
0
32
32
16
16
16
0
41
24
27
8
8
8
4
16
0
0
1
1
4
4
16
16
0
0
0
0
18
2
2
2
0
0
0
8
8
0
0
16
16
8
0
8
8
16
16
8
0
24
8
16
0
8
0
4
16
24
0
0
0
0
0
0
0
0
16
24
0
8
16
16
8
16
16
0
8
8
4
0
10
10
8
8
8
8
8
8
8
0
8
8
32
0
0
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
12
12
12
12
0
16
32
32
0
0
24
24
24
8
8
8
8
8
8
24
3
32
10
8
1
1
8
8
0
0
24
8
0
8
1
1
1
1
1
1
1
1
0
0
16
32
32
0
0
0
0
16
16
16
1
16
16
1
1
0
0
8
8
8
8
8
8
16
16
8
8
8
0
8
8
8
16
0
0
0
2
2
0
0
0
0
8
8
0
4
4
0
4
4
4
4
24
24
16
0
16
16
0
0
48
48
48
0
16
1
16
9
9
9
0
0
2
8
0
0
0
0
8
8
8
8
0
4
4
4
4
4
0
0
8
0
16
8
8
8
8
8
8
8
4
8
1
1
1
0
0
1
1
16
0
1
9
0
0
8
8
8
8
0
8
1
41
41
16
8
8
8
8
8
0
1
1
1
0
0
0
0
0
0
0
1
1
0
0
0
0
8
8
8
8
8
8
8
8
0
4
0
0
0
0
8
32
8
8
8
8
8
8
2
2
2
2
16
20
16
16
16
0
0
0
16
16
1
1
0
18
0
0
4
4
4
16
0
1
1
1
0
0
0
0
8
8
32
0
16
8
8
8
8
8
8
6
2
12
0
0
24
16
4
8
12
8
8
8
16
3
8
16
16
0
8
8
8
4
4
4
8
16
10
8
0
0
8
4
4
4
8
32
16
16
17
17
17
0
0
8
0
0
32
32
16
16
16
16
1
32
32
32
9
0
24
0
16
24
0
0
0
0
9
8
17
17
0
0
0
0
4
24
4
4
4
4
16
16
16
16
16
4
4
4
0
5
8
9
4
4
4
4
0
0
0
16
1
16
0
0
0
8
8
8
8
8
8
8
8
8
8
8
18
0
0
0
12
4
0
0
32
16
4
4
4
0
0
0
0
16
0
8
17
17
17
8
8
24
4
4
4
0
0
0
8
1
25
0
0
0
8
8
0
0
0
0
8
8
16
0
0
24
0
4
4
8
0
8
4
28
8
1
0
0
0
0
8
8
8
4
8
8
8
0
0
8
0
0
0
0
0
1
1
1
4
4
4
24
16
0
0
4
4
2
1
1
1
1
1
1
1
1
1
2
2
2
2
0
20
0
16
1
16
16
1
16
16
0
0
0
16
16
16
13
12
12
12
12
0
0
0
8
0
0
25
0
20
0
4
0
0
2
2
4
4
0
0
0
8
8
8
8
8
8
8
8
12
8
8
0
16
16
20
20
2
0
2
16
0
4
0
32
0
0
0
0
0
0
24
0
8
0
8
8
4
4
4
4
4
4
0
0
1
0
8
0
0
16
16
0
0
4
0
16
8
16
16
16
4
4
4
0
0
1
1
0
2
2
8
21
21
21
0
16
16
0
0
0
8
8
8
0
0
32
32
32
32
8
16
0
0
0
0
0
24
8
0
0
8
8
0
0
16
8
8
8
16
16
0
0
8
0
2
2
8
2
0
0
0
0
4
4
10
0
1
2
0
0
4
0
16
0
0
0
4
0
40
0
8
17
17
17
0
0
8
8
16
16
0
0
0
0
16
0
0
0
16
0
0
0
25
0
0
0
0
0
0
0
0
0
0
1
1
60
8
8
8
1
16
8
8
0
0
12
2
6
16
0
16
0
9
0
16
18
0
16
8
17
48
0
1
1
16
16
8
0
2
2
2
2
2
2
2
0
0
0
50
8
12
0
0
0
0
12
8
0
16
9
16
16
16
16
0
0
0
1
0
0
2
8
2
2
2
2
2
0
4
0
0
0
24
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
1
1
8
0
29
16
0
0
4
16
24
8
0
0
16
16
2
16
0
16
16
16
16
0
0
0
0
1
4
2
2
2
16
0
8
8
0
6
0
0
8
16
4
4
4
1
1
0
4
0
0
0
0
0
16
4
8
0
0
0
0
8
12
0
28
8
1
1
0
0
0
24
8
16
0
0
0
8
8
0
0
16
8
8
8
0
0
0
0
0
0
2
16
16
0
0
16
16
2
16
16
16
16
0
0
1
0
0
0
0
1
0
1
1
1
1
1
1
0
4
4
20
4
4
4
4
1
1
1
1
1
1
1
2
8
8
8
8
8
0
0
0
16
0
0
0
0
0
0
1
16
0
0
8
8
4
0
0
0
0
0
5
5
0
0
0
0
40
0
0
0
4
0
8
10
10
0
0
0
8
0
0
0
0
8
8
1
1
20
20
0
0
32
32
0
2
2
0
4
8
4
4
4
17
17
17
4
0
1
0
16
8
8
8
8
8
0
0
0
4
0
16
8
8
8
16
0
0
0
2
16
0
0
0
16
4
0
0
17
8
0
8
16
0
0
0
0
0
0
0
16
16
16
0
0
0
0
8
7
0
24
4
0
0
8
28
16
0
0
0
0
0
0
0
2
0
0
4
0
0
16
0
0
0
0
0
1
2
8
0
8
8
8
8
4
4
16
8
0
1
8
8
0
6
8
8
8
0
0
0
0
16
16
0
0
0
16
4
1
11
11
16
16
16
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
8
4
4
4
1
0
0
8
16
16
16
8
16
8
8
8
8
12
8
16
0
0
4
0
0
8
1
1
0
8
0
8
8
8
16
8
8
4
24
16
8
25
1
1
1
0
0
14
14
25
25
8
8
0
0
1
8
0
8
8
4
4
0
20
1
4
4
4
4
4
4
4
0
0
0
0
0
16
8
0
0
0
16
0
0
8
8
8
4
4
0
0
4
8
0
8
8
1
0
16
4
0
0
8
0
8
8
0
8
0
24
0
8
0
0
8
8
1
1
1
1
1
1
0
8
8
8
8
8
0
1
8
0
0
0
0
0
0
0
0
4
8
8
12
0
0
16
8
8
8
0
0
4
1
4
4
0
0
0
2
8
8
0
0
0
2
16
0
1
16
8
32
8
8
24
16
0
0
21
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
32
32
32
32
32
0
8
8
8
0
1
0
0
4
8
24
18
8
4
0
0
0
16
8
17
17
8
8
0
0
6
2
2
16
16
9
9
0
1
1
8
8
16
16
0
16
8
8
8
0
0
16
0
5
0
0
2
2
0
0
0
0
16
16
16
16
16
16
0
0
2
2
0
0
16
16
0
0
16
16
16
16
0
4
0
0
16
16
16
12
12
12
0
8
8
8
8
8
0
0
0
0
0
0
0
0
0
12
1
16
32
1
1
1
1
1
2
3
10
0
16
16
0
0
16
2
2
2
4
8
8
0
8
8
16
8
8
8
0
0
8
8
12
12
12
8
8
0
2
2
0
0
1
0
0
4
0
0
0
0
0
0
0
0
0
0
32
32
0
0
16
16
16
0
0
0
4
0
0
4
16
16
16
16
0
8
0
0
8
8
0
8
5
2
4
32
8
0
0
8
16
0
0
8
8
8
0
0
0
0
8
8
8
8
16
16
16
0
32
0
24
24
0
16
8
16
16
0
0
0
0
1
0
8
0
2
2
0
16
0
12
0
8
0
0
8
8
0
8
0
0
0
8
8
1
0
0
8
0
0
8
8
8
8
8
4
8
8
0
0
0
0
0
16
0
0
0
4
8
8
16
16
16
0
8
1
17
17
16
10
16
16
0
9
8
8
4
8
0
0
2
4
8
0
4
16
1
1
0
8
8
8
8
0
0
0
53
16
5
0
4
2
6
0
6
0
4
4
0
16
1
15
0
0
8
0
8
0
0
0
0
0
0
4
4
16
0
4
8
8
0
0
4
4
4
4
8
8
8
0
0
0
0
12
0
0
4
4
8
16
17
16
0
0
8
8
8
8
24
0
32
32
32
16
16
0
0
0
1
25
24
24
0
0
0
0
12
0
0
0
16
0
4
12
12
4
4
4
4
0
8
0
0
0
0
9
8
0
0
8
8
0
9
9
0
8
8
17
8
8
16
1
21
1
0
0
8
8
8
8
8
16
16
2
3
0
46
0
8
0
8
2
1
8
2
2
0
8
0
0
16
16
0
0
6
6
24
0
4
16
16
0
6
2
2
0
0
0
0
0
0
22
0
0
0
0
8
2
0
0
8
8
0
0
16
0
2
2
16
0
0
2
17
0
0
0
0
8
8
16
8
8
8
8
8
0
0
16
16
16
16
16
0
0
0
0
0
0
16
20
0
0
16
24
8
2
0
16
0
0
0
0
0
2
16
4
20
20
4
1
1
1
2
0
0
0
0
0
0
0
16
0
0
0
1
0
0
8
8
8
4
4
0
0
0
17
1
1
1
1
1
0
0
15
8
12
0
0
16
8
8
12
12
17
17
0
20
0
0
0
0
0
0
0
0
4
4
16
16
16
16
16
8
8
0
1
1
4
4
8
16
16
0
2
16
32
32
16
8
0
0
0
4
4
4
8
0
8
8
0
0
16
0
2
4
0
0
0
8
8
8
12
0
0
0
0
0
0
0
8
8
8
8
4
4
0
4
28
8
8
0
2
2
2
8
0
16
16
16
16
16
16
16
1
1
12
4
4
4
0
8
29
0
0
1
32
0
0
0
0
0
8
0
0
8
0
16
0
1
1
1
0
24
24
0
0
0
0
0
8
4
8
0
0
0
0
8
0
8
8
8
8
0
0
0
0
0
0
0
8
0
0
0
0
0
0
8
8
8
18
50
7
0
8
8
0
16
16
8
8
16
24
8
0
0
0
0
0
4
4
18
1
1
1
1
1
0
0
32
1
8
22
0
0
8
18
16
0
0
0
0
0
4
8
8
0
28
28
28
28
0
0
0
0
2
8
4
4
0
0
0
0
12
0
0
4
4
4
1
8
16
16
0
1
8
8
0
8
8
0
8
8
8
0
0
8
8
8
0
0
24
0
0
56
56
0
0
0
8
8
1
0
0
0
18
0
16
16
8
8
12
16
16
8
8
0
42
42
0
40
8
8
8
8
8
0
0
0
8
0
0
16
16
16
16
8
0
0
0
56
8
8
8
8
16
2
4
16
8
8
8
0
16
4
4
0
0
0
0
8
16
0
8
0
0
0
0
8
8
0
2
4
16
8
8
8
0
0
8
8
0
4
4
16
8
8
8
0
8
8
0
2
0
0
27
27
27
27
4
4
2
2
0
0
8
21
0
8
12
8
8
24
8
0
0
0
0
0
41
41
2
8
8
20
4
4
20
0
8
8
8
16
0
0
8
8
8
0
0
0
0
0
1
1
8
1
1
1
0
0
6
4
4
16
16
8
14
2
0
0
0
0
26
16
4
1
0
0
0
0
0
8
0
8
8
8
4
4
4
12
8
8
24
16
8
8
1
1
0
2
8
8
8
8
4
0
0
1
20
28
16
9
8
35
35
8
16
20
8
0
0
0
34
0
0
0
4
32
32
0
0
0
0
8
8
0
0
0
0
0
1
8
0
0
0
8
0
8
8
0
8
0
16
1
0
8
8
0
16
8
8
16
16
16
16
16
16
0
0
0
0
0
1
16
0
0
1
1
1
0
16
0
0
0
0
0
0
0
0
8
0
0
0
4
0
30
0
1
16
0
16
16
0
4
8
8
28
12
8
0
0
8
8
4
4
17
0
0
0
0
2
4
0
0
0
28
20
0
0
0
0
8
8
16
16
16
8
2
0
0
0
0
16
0
8
16
2
2
1
5
16
12
12
12
16
0
24
0
0
0
8
16
6
16
8
0
8
8
0
0
8
8
8
0
10
0
0
0
0
0
0
0
0
0
0
0
16
0
8
0
0
0
2
0
16
16
0
0
0
0
4
0
4
0
8
8
5
0
0
8
0
2
0
0
0
0
0
1
0
8
0
4
4
8
0
0
1
40
16
8
8
0
16
24
0
0
8
16
0
0
0
0
16
16
0
3
1
1
0
9
8
16
0
0
0
0
16
16
16
0
0
1
8
16
0
0
24
16
4
4
4
0
16
16
16
16
8
8
16
8
0
0
0
0
0
0
8
0
8
8
8
8
2
2
2
8
8
0
4
4
4
2
0
0
0
0
0
0
0
0
0
0
0
0
4
0
16
16
8
8
0
28
28
28
8
8
8
8
8
16
16
8
16
22
0
16
18
0
0
8
8
16
0
0
0
8
0
0
0
2
8
8
8
8
0
0
8
8
20
8
0
0
4
4
4
4
22
0
0
1
8
0
0
8
0
0
0
0
8
0
8
4
0
16
24
8
0
0
0
0
0
0
0
16
8
8
0
0
0
8
0
0
0
8
8
8
8
8
16
8
8
8
8
0
1
0
0
0
0
16
0
16
0
1
0
17
0
2
2
0
8
0
0
24
8
12
24
24
8
1
1
1
0
8
8
4
2
4
18
8
0
0
24
24
2
0
4
0
16
16
0
0
0
8
8
8
8
0
16
16
0
0
0
16
0
0
16
16
16
20
20
7
0
9
9
16
16
2
0
0
0
8
8
0
8
2
0
0
9
2
2
2
0
0
0
0
16
8
16
0
0
8
8
28
16
16
16
0
0
0
8
8
0
0
0
1
1
0
8
2
20
16
8
0
0
1
10
10
0
0
16
0
8
8
24
0
0
8
4
4
8
8
16
16
16
8
2
8
8
8
20
20
20
4
0
0
0
0
0
0
0
12
12
8
0
2
2
2
0
16
16
0
0
2
2
0
8
0
16
4
4
0
0
0
0
0
0
0
0
0
0
24
27
0
0
0
10
10
8
8
0
8
4
0
16
16
0
0
0
0
6
2
8
16
4
2
16
8
16
0
2
16
16
0
0
2
8
0
0
0
0
0
0
2
0
2
0
0
16
48
32
32
32
32
32
8
8
0
0
2
2
32
0
0
9
9
9
8
0
0
0
0
0
0
16
12
0
16
16
16
16
16
16
16
0
0
24
8
0
16
0
16
16
1
1
12
12
9
0
4
4
4
4
4
4
57
16
27
27
4
4
4
8
0
16
8
0
0
0
0
0
0
0
20
16
16
0
0
0
0
0
0
0
0
0
16
16
16
16
16
0
0
0
0
24
0
0
8
8
0
0
0
1
1
1
1
1
1
8
8
8
8
8
0
0
16
0
4
4
0
32
8
16
0
0
0
0
8
1
8
8
8
0
0
0
12
12
8
0
16
16
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
24
8
8
5
5
0
4
4
4
0
0
4
4
8
16
0
0
0
8
0
16
16
3
3
3
1
8
16
8
8
8
16
1
16
8
6
6
0
0
0
0
0
32
32
8
8
8
4
8
8
8
2
2
8
56
16
0
0
0
0
0
0
0
16
4
0
0
0
2
32
40
32
0
0
4
8
8
8
8
16
16
0
0
0
0
8
8
8
0
24
24
24
24
0
1
1
1
8
2
2
2
0
8
0
0
0
0
4
4
8
0
0
0
1
32
0
0
0
2
0
8
8
0
4
4
2
0
8
8
8
0
0
0
0
16
16
17
1
1
1
2
0
8
18
18
10
12
8
8
8
8
24
0
0
0
8
0
0
0
0
40
0
16
16
16
16
0
0
2
8
0
0
8
16
2
2
4
0
0
16
16
0
0
2
16
4
60
0
0
0
0
8
8
8
8
0
0
16
16
16
0
8
0
0
0
1
1
0
0
0
0
16
16
32
0
0
17
0
0
0
0
2
16
4
4
4
0
14
0
3
3
8
8
0
16
0
0
28
0
8
8
16
4
0
0
5
0
16
24
16
8
2
2
8
8
8
0
4
16
16
0
8
8
8
16
16
0
8
2
2
2
0
0
8
0
0
8
8
0
4
4
4
4
4
24
0
8
0
8
8
8
24
24
16
16
16
16
0
0
0
0
0
8
8
2
2
0
0
16
16
16
16
0
16
24
24
24
0
0
0
4
0
0
1
8
8
8
0
0
16
1
1
0
2
0
17
0
0
8
8
0
0
0
0
0
8
8
8
8
0
0
0
0
4
8
2
2
16
16
0
0
0
16
8
0
20
4
4
4
4
16
16
16
8
8
8
8
16
16
8
8
0
8
0
0
0
0
8
1
0
0
8
0
2
0
0
0
2
16
8
16
16
16
0
0
8
0
2
0
0
16
8
8
0
2
32
32
0
0
8
8
0
0
0
8
8
8
16
19
0
0
0
0
0
0
0
0
16
26
4
4
16
16
16
16
1
0
8
16
0
0
1
1
0
8
4
0
16
8
8
1
0
0
2
0
31
8
8
0
2
2
4
16
16
16
1
16
10
8
0
0
8
0
0
20
20
20
8
8
4
0
0
2
8
8
8
8
1
1
16
8
0
0
0
0
0
0
8
8
0
0
0
1
16
16
4
4
22
8
8
0
8
16
6
0
8
16
4
0
8
8
0
8
0
0
10
0
0
8
4
8
8
8
8
4
4
4
0
0
0
0
0
8
0
0
0
0
0
0
0
0
16
16
8
0
2
2
58
16
0
0
0
0
2
2
2
16
16
8
8
8
16
0
0
0
0
0
16
0
0
0
0
1
1
0
0
0
8
8
8
8
0
8
16
16
1
32
0
0
0
1
19
1
18
0
0
0
1
0
0
0
20
32
32
0
0
0
4
4
0
2
4
48
48
48
0
8
16
20
0
0
1
0
0
0
0
0
0
0
4
0
1
1
1
1
1
16
16
8
0
0
8
8
16
16
0
0
0
0
0
0
0
0
8
8
8
8
8
16
2
0
0
0
16
16
0
0
0
1
8
0
0
16
16
0
20
18
18
0
0
8
8
10
4
4
16
0
0
9
8
2
0
0
57
57
0
0
0
0
0
0
0
8
0
8
0
2
2
2
10
0
0
4
4
26
16
22
0
0
0
9
28
4
0
0
16
0
8
8
8
0
0
8
8
8
8
16
8
0
16
16
8
10
10
8
12
0
0
0
0
0
0
8
2
2
0
0
0
0
2
0
1
0
0
34
0
0
4
4
0
8
8
4
4
8
8
0
0
1
0
0
0
0
0
0
4
4
10
0
8
0
16
16
0
0
0
0
26
16
0
0
0
0
0
0
16
8
20
20
4
4
25
0
0
0
1
8
18
13
16
8
4
0
0
0
0
12
24
8
8
0
0
8
8
0
8
8
8
8
8
8
8
0
8
0
0
0
8
0
0
0
0
0
16
16
16
0
0
8
8
0
0
17
16
12
12
0
4
20
0
0
0
0
0
16
0
16
4
4
4
8
0
8
8
8
8
17
8
32
0
16
16
0
1
0
0
0
29
0
8
0
0
8
8
8
8
16
16
16
16
16
0
8
8
8
0
16
0
0
0
37
0
8
8
0
0
0
0
8
0
8
8
0
8
8
18
4
0
0
8
0
0
10
10
8
16
0
0
40
16
8
0
0
0
16
0
0
8
0
0
16
8
8
8
0
0
0
4
30
0
1
1
1
0
0
4
0
16
8
8
8
16
0
0
8
0
16
0
6
0
0
0
16
0
0
10
16
16
16
4
4
4
8
0
0
0
0
8
0
16
1
0
0
0
0
0
0
0
0
0
19
16
0
0
0
0
0
0
0
32
0
8
8
0
0
0
0
0
0
4
4
8
8
8
12
16
16
16
8
4
20
0
0
20
16
8
8
0
8
0
0
8
8
0
0
1
1
4
0
0
0
1
4
4
0
1
0
0
8
0
5
5
0
0
0
16
8
8
21
21
0
0
24
0
0
8
20
0
20
2
0
0
1
1
1
1
8
8
8
8
8
0
8
8
8
12
0
0
8
0
0
0
8
8
8
8
1
20
8
8
8
0
12
0
0
8
8
8
8
0
0
0
0
1
8
8
8
8
8
0
0
0
24
4
8
8
0
24
0
16
16
0
20
8
16
16
16
0
16
8
0
0
1
0
0
4
4
16
0
0
16
26
0
8
8
8
0
0
16
16
16
0
8
8
0
0
8
0
0
24
0
0
8
8
8
49
0
16
0
2
2
0
2
2
2
8
8
0
10
20
20
20
4
0
0
0
0
0
0
1
1
1
1
0
20
8
8
8
0
8
8
8
1
0
8
8
8
8
8
8
0
8
0
0
0
0
0
0
0
8
16
16
16
8
0
9
9
16
16
8
0
21
16
0
0
0
0
5
1
0
16
0
0
0
0
9
8
16
8
4
0
16
16
0
0
1
16
20
16
16
16
0
0
0
33
0
8
0
8
16
16
16
4
4
8
8
0
0
0
0
0
0
21
21
0
0
0
0
4
4
4
4
0
21
8
8
12
12
16
16
8
8
57
0
0
0
0
8
8
8
8
8
0
0
0
0
0
16
16
8
8
0
8
8
16
4
0
8
8
2
16
16
0
4
4
4
0
2
2
8
0
0
0
0
0
16
16
16
16
0
0
4
4
4
4
0
0
0
0
0
0
0
0
0
8
8
8
0
4
8
16
0
0
4
4
4
52
52
8
8
0
0
0
0
0
16
8
2
2
0
0
8
8
4
0
0
0
24
24
16
0
1
1
8
16
16
16
16
16
20
0
8
8
8
2
0
16
16
8
6
6
6
16
8
8
8
12
0
2
0
8
8
0
0
0
8
0
8
8
0
38
0
0
2
2
0
0
0
0
32
0
0
0
0
0
8
8
8
0
0
0
16
0
1
24
16
0
8
8
0
0
16
16
16
16
0
0
0
0
1
1
24
16
0
8
1
0
16
8
8
8
8
4
0
1
0
24
24
24
0
0
0
8
8
8
9
0
0
0
4
8
8
16
0
0
0
8
8
0
4
1
4
0
0
0
0
0
1
4
0
0
0
1
0
0
0
0
0
0
20
0
0
0
8
16
0
8
8
8
1
0
0
0
1
0
0
0
0
0
2
4
8
8
8
0
0
1
17
8
16
0
8
4
0
8
2
2
0
8
0
0
0
16
8
8
4
0
0
0
0
24
0
0
0
0
1
16
8
8
0
0
0
0
0
24
16
0
0
0
0
8
8
8
22
2
0
8
8
8
0
0
0
0
0
24
24
8
8
0
0
16
16
16
16
8
0
8
8
8
8
16
24
16
0
4
4
12
8
0
0
0
0
8
4
4
4
0
4
4
40
0
16
16
8
8
8
32
36
1
40
45
4
4
0
0
4
4
4
4
0
0
0
8
8
0
16
16
16
8
8
1
16
8
24
2
4
0
16
16
0
0
0
34
59
59
16
0
0
0
0
0
8
8
8
9
0
2
0
1
1
1
0
0
4
8
2
2
2
2
2
16
16
4
0
8
0
8
8
0
16
4
4
8
0
0
16
4
4
8
8
8
8
0
1
1
8
1
1
8
8
8
16
8
40
40
40
40
0
8
0
0
17
2
2
0
16
8
8
16
16
16
16
2
16
0
1
4
4
8
0
1
4
0
8
8
8
8
0
4
0
0
16
16
16
16
16
8
24
1
28
16
16
16
2
2
2
6
6
8
24
28
2
8
16
16
0
18
16
0
0
0
1
33
33
8
8
0
0
0
48
0
0
16
2
2
2
2
0
0
0
16
16
12
4
0
8
8
8
0
0
0
0
8
40
40
40
8
24
11
11
11
11
0
0
0
0
16
16
16
16
10
10
16
0
0
0
0
0
4
8
0
2
8
0
0
0
0
0
0
8
8
8
8
8
0
4
0
0
0
0
8
8
0
24
8
8
8
8
0
0
24
2
16
0
16
4
4
16
8
8
16
16
16
0
0
0
19
0
8
8
16
2
0
0
8
16
2
16
8
8
8
4
16
16
16
0
0
0
0
8
16
32
32
32
32
2
8
8
0
8
0
0
0
0
0
0
0
0
8
12
0
0
4
8
8
8
4
8
0
0
0
1
2
8
0
1
1
1
4
8
8
1
1
0
0
0
1
1
1
1
0
0
16
20
4
4
0
8
8
8
0
16
0
0
8
8
0
20
20
0
0
0
0
8
0
0
0
16
24
0
0
16
16
16
16
8
16
16
0
0
0
0
32
32
32
32
0
0
0
8
8
8
8
0
0
0
0
0
8
8
8
18
18
0
0
8
16
0
28
8
0
24
8
0
20
24
0
0
2
24
8
8
0
0
8
16
16
0
8
8
8
8
2
0
0
0
8
0
0
8
17
17
17
17
0
26
26
26
0
0
0
0
8
8
8
8
0
0
8
16
16
8
2
10
2
2
2
2
8
8
8
8
16
21
0
0
16
0
9
16
18
8
24
24
48
0
8
19
20
16
0
24
24
0
16
16
8
8
4
4
20
8
0
0
0
0
0
0
0
0
2
8
0
0
0
0
0
32
16
16
4
4
0
0
0
8
8
16
8
0
8
8
8
8
0
23
23
1
0
0
2
2
2
16
0
0
49
16
0
0
29
0
0
0
0
0
0
16
16
16
0
2
8
8
8
18
18
1
16
16
8
0
0
8
0
0
1
1
0
0
0
1
0
0
8
16
16
8
8
8
8
8
8
16
16
8
8
1
0
0
0
0
0
0
0
0
2
16
0
0
16
0
0
12
8
0
8
8
4
4
12
8
16
16
8
8
8
8
8
8
0
0
24
0
8
1
0
0
0
8
0
2
18
0
0
1
8
8
8
14
14
14
0
8
8
8
0
0
0
4
4
4
4
2
2
2
2
16
4
4
0
0
0
0
24
24
8
8
16
17
0
4
4
1
0
9
9
32
32
32
0
0
0
0
16
0
0
0
16
16
1
0
0
16
0
0
8
9
8
4
0
0
0
0
32
32
8
0
0
4
8
0
0
8
8
8
8
8
0
0
16
16
8
0
0
0
0
0
0
6
6
16
0
8
8
6
0
18
0
33
26
0
0
0
8
8
8
8
0
0
0
0
0
2
8
0
16
56
56
0
0
4
4
4
16
16
16
8
0
16
16
8
8
8
8
7
16
25
25
8
0
16
20
20
4
16
16
16
16
16
4
0
0
8
33
33
8
8
0
0
8
2
2
2
2
2
2
16
16
8
0
8
0
4
4
8
0
40
0
0
0
16
9
4
5
9
4
8
0
0
8
18
4
0
1
0
16
8
8
16
17
16
16
8
8
8
8
8
18
18
18
1
0
0
8
8
0
5
0
0
0
0
0
0
2
2
16
0
1
1
1
0
0
0
0
8
1
1
1
1
8
1
2
2
0
0
0
0
0
0
28
0
16
1
8
8
8
8
8
8
0
0
8
16
16
16
0
2
2
2
4
4
4
0
17
8
8
2
8
8
16
8
16
20
2
8
0
0
0
0
0
8
8
8
16
16
0
0
0
0
16
0
8
16
0
0
8
8
8
0
0
0
0
0
1
1
1
0
1
16
8
8
14
0
0
20
0
0
0
4
12
8
8
16
8
1
9
3
4
0
0
16
16
1
0
0
4
0
0
0
16
0
0
17
8
8
16
8
0
0
0
0
16
16
2
2
2
2
12
8
0
0
4
0
8
8
16
24
0
8
13
13
0
0
24
24
8
1
1
1
1
9
0
0
0
4
8
0
0
0
0
0
16
16
16
0
4
4
8
4
0
0
8
8
8
8
8
8
0
0
16
16
2
2
0
0
12
0
1
9
0
8
8
8
8
4
4
8
0
0
8
8
0
8
16
0
0
2
2
16
0
0
0
0
0
8
8
8
0
8
1
1
1
12
8
4
4
4
4
20
16
16
0
0
8
32
16
0
16
0
8
0
16
16
16
0
0
4
4
4
8
16
8
8
8
16
0
0
4
20
0
0
0
0
8
8
16
16
8
25
0
0
16
16
12
0
0
0
0
0
0
8
0
0
2
0
0
16
8
8
8
0
0
0
16
0
16
0
8
8
8
8
8
8
16
16
4
4
0
16
0
0
24
8
8
8
4
8
8
8
16
16
8
8
16
8
8
8
8
8
8
8
0
4
4
4
4
4
16
16
16
16
16
16
2
8
8
8
0
16
16
16
16
4
4
4
8
8
8
8
8
8
2
4
0
0
0
8
8
8
0
2
2
2
8
24
0
0
0
16
16
8
8
23
4
0
0
8
24
8
0
16
1
1
8
4
8
8
35
35
0
8
8
8
8
8
0
0
0
0
0
0
2
0
0
9
0
0
0
0
8
2
2
8
8
8
8
1
1
32
32
32
6
0
4
4
4
16
16
0
16
16
16
0
0
0
0
8
8
4
0
12
16
16
0
16
16
16
16
16
0
8
8
0
0
4
16
4
0
24
2
2
0
8
8
8
0
16
16
4
0
0
0
16
16
16
8
8
8
8
8
4
4
4
16
16
0
16
16
16
1
1
1
1
1
1
1
54
54
54
8
8
0
0
0
8
0
0
0
0
4
4
8
0
12
12
8
8
8
0
8
8
2
8
8
0
16
35
0
8
0
16
24
0
0
0
1
0
17
16
16
24
8
8
8
8
4
0
8
16
16
0
0
56
16
2
2
10
4
16
4
4
0
0
1
1
0
20
0
0
16
16
8
8
0
0
0
0
8
8
4
0
0
4
8
8
8
8
0
16
16
16
8
8
0
8
4
4
0
24
8
2
0
4
8
17
8
0
4
4
0
0
16
0
0
0
0
0
0
0
8
8
0
4
59
59
8
1
8
0
0
0
8
0
0
0
16
16
0
1
0
0
16
16
2
2
2
8
4
4
0
0
24
0
0
0
8
16
0
5
6
6
1
1
1
0
1
1
10
0
16
1
1
0
16
10
10
24
24
8
0
33
33
0
1
1
8
8
0
8
8
8
8
16
16
0
16
16
16
8
12
12
12
8
0
16
16
8
8
8
8
40
3
1
8
32
0
0
0
0
0
2
8
28
0
4
0
24
0
8
8
8
0
0
0
16
16
16
16
16
16
0
0
8
8
0
16
4
4
0
0
8
16
8
0
5
5
20
20
16
16
16
1
16
0
16
16
16
4
1
1
1
0
29
8
0
0
0
8
8
4
20
16
16
16
8
0
0
0
20
20
0
0
0
8
8
8
0
8
8
8
8
8
0
0
8
8
1
2
2
0
0
0
0
4
8
8
0
16
8
0
8
8
4
4
4
16
16
0
0
0
0
0
0
8
0
0
8
8
32
20
0
9
9
9
9
9
8
8
8
8
0
0
19
19
19
19
8
2
8
10
8
8
0
8
8
32
0
0
16
16
0
8
8
8
8
0
16
16
1
1
0
0
8
8
8
0
0
0
1
1
1
0
18
16
16
8
0
8
0
24
16
0
16
16
0
0
0
16
8
8
8
8
0
48
58
3
1
4
8
8
8
0
0
16
16
0
16
0
0
0
8
8
0
0
4
4
8
8
8
0
4
8
8
8
8
1
1
1
8
8
8
0
0
0
0
16
16
8
8
0
17
16
0
4
4
4
4
0
0
8
8
0
0
0
0
0
8
8
0
8
8
16
16
16
3
0
0
1
1
1
1
2
0
16
8
8
4
4
24
4
8
12
0
8
24
16
8
8
8
16
16
16
16
16
16
0
0
4
0
0
2
4
2
2
2
2
0
0
4
1
0
0
0
0
16
0
0
0
0
8
0
0
8
4
4
4
0
0
4
4
22
4
1
0
0
0
8
8
8
8
0
0
0
18
18
2
8
8
8
0
0
16
16
16
16
8
16
16
1
1
0
0
16
16
1
1
0
2
2
4
4
4
4
0
1
12
12
32
32
32
0
8
8
8
16
4
0
0
8
8
4
16
16
8
8
8
8
16
16
16
8
8
8
8
8
0
8
8
4
4
0
8
8
0
0
0
0
0
0
16
12
8
12
0
16
0
0
16
16
16
16
0
2
8
8
5
0
0
18
18
18
18
8
1
1
0
2
2
2
2
17
8
1
48
8
8
4
8
8
8
4
4
6
0
0
2
2
16
0
0
4
4
0
2
0
32
32
2
8
4
17
8
26
8
8
16
0
0
0
8
8
0
48
16
8
0
8
1
0
0
16
16
0
0
0
0
0
1
1
1
1
24
8
8
8
0
16
16
16
16
16
16
16
26
1
0
2
16
0
16
16
16
0
0
0
8
0
32
32
0
0
0
0
0
4
4
8
0
4
0
0
0
0
1
8
0
0
8
8
32
24
24
24
0
8
8
0
8
8
8
0
4
4
16
2
2
2
2
2
2
16
0
0
16
2
2
8
8
8
1
0
8
8
4
4
4
16
0
0
0
0
0
0
0
0
0
0
8
8
2
24
24
24
16
8
8
0
16
16
8
8
8
16
16
16
1
1
1
0
0
0
0
6
8
8
8
0
16
0
0
0
8
8
8
8
4
0
4
8
8
1
0
8
0
0
0
0
4
4
32
0
0
0
0
32
3
3
3
1
1
1
1
8
0
0
0
8
4
4
4
4
0
8
0
20
0
0
0
8
0
0
0
8
8
0
4
16
16
8
0
16
16
16
8
0
0
16
16
16
16
1
1
8
8
0
0
0
8
0
0
24
1
8
4
8
16
16
4
4
4
4
0
0
0
0
0
1
1
2
8
40
40
40
24
0
8
8
0
8
0
20
16
16
4
16
8
8
0
0
2
48
48
48
0
8
8
8
49
8
8
16
4
8
8
4
8
8
8
8
8
8
16
16
16
16
16
8
8
8
8
8
8
8
8
8
8
20
4
8
0
32
8
1
1
1
1
4
4
8
2
2
2
0
1
5
0
4
8
8
1
8
0
8
8
8
8
0
8
8
8
16
16
33
8
8
8
16
4
4
8
8
0
1
22
17
22
16
0
16
16
1
0
8
8
8
5
8
2
4
0
0
0
0
0
8
8
8
8
0
0
16
16
0
4
4
0
8
8
8
4
20
0
4
8
21
8
16
2
2
0
20
20
0
0
8
8
0
0
0
0
2
16
8
8
8
8
18
8
8
8
8
4
4
2
10
8
8
24
0
0
0
0
1
0
0
0
0
0
0
0
4
8
0
16
8
8
6
0
0
0
0
8
0
16
16
8
8
1
1
8
8
4
4
4
4
4
0
0
24
4
4
0
0
0
8
8
8
8
8
8
8
0
0
16
0
0
18
16
16
16
16
16
0
0
0
2
25
4
0
24
8
8
8
8
2
2
2
2
0
8
0
8
0
0
0
8
0
0
0
0
0
8
8
8
1
1
8
16
16
16
16
0
0
0
0
0
0
16
8
8
8
8
2
8
8
0
8
8
17
8
0
8
8
24
0
0
0
8
4
0
8
8
8
8
2
8
16
0
0
0
0
0
30
0
0
0
8
0
4
4
4
4
20
0
16
8
0
12
20
0
0
0
0
16
16
16
16
16
16
16
16
24
0
1
16
4
8
8
9
0
1
5
5
40
40
40
2
4
40
40
40
0
0
16
16
16
8
0
8
8
8
16
16
0
0
16
1
1
16
16
4
4
8
8
8
8
12
12
8
8
8
24
24
8
2
2
2
0
2
0
1
1
0
0
0
28
0
4
0
0
0
0
8
8
4
4
0
0
4
17
17
1
0
0
8
8
8
16
1
16
2
2
8
8
4
4
1
0
0
17
0
20
20
21
0
0
0
16
16
16
0
8
0
0
0
19
0
1
0
16
16
16
0
0
0
0
12
16
4
0
0
8
8
8
8
0
0
6
6
0
0
0
16
0
16
16
2
0
0
8
8
8
8
1
2
0
0
0
0
0
4
8
25
24
16
0
0
8
8
0
0
8
8
8
0
0
1
1
0
2
4
1
1
2
2
8
0
9
16
16
16
8
18
8
8
4
8
0
0
4
4
8
8
4
8
8
0
0
0
8
0
0
0
0
0
0
16
1
1
0
0
0
0
0
0
8
0
0
24
8
8
16
8
8
4
0
16
8
8
8
32
8
8
8
8
8
8
8
0
0
0
16
1
1
32
0
8
0
16
16
2
4
16
16
4
0
0
8
8
0
4
16
16
0
60
4
4
4
0
0
16
8
8
0
1
0
0
0
0
0
1
40
8
8
0
17
0
16
16
16
16
16
0
0
0
8
18
8
8
9
28
8
8
8
8
8
8
8
8
20
20
0
9
8
8
8
0
1
1
16
18
0
0
4
4
4
8
8
16
1
0
8
0
35
35
51
32
8
8
16
0
16
16
16
0
0
0
0
10
0
8
8
8
8
8
8
2
8
0
0
0
0
8
8
8
8
0
0
1
8
0
1
0
0
8
8
8
8
8
0
0
0
8
4
4
0
0
0
0
0
0
0
0
0
0
8
0
20
20
0
0
0
16
16
8
16
12
26
8
16
2
2
4
4
8
8
8
8
0
0
49
16
16
0
16
16
0
8
8
19
17
16
4
20
16
0
0
0
4
0
8
0
8
16
16
24
24
24
0
0
16
16
0
0
16
16
0
2
2
2
2
0
0
16
8
8
0
0
1
1
8
8
8
8
1
0
1
1
0
0
8
16
1
16
2
4
4
8
16
8
16
16
16
16
16
10
2
2
2
2
8
12
0
0
0
4
4
4
4
4
0
0
0
8
0
0
8
8
8
0
8
8
8
8
0
0
0
16
8
8
0
9
8
0
8
0
0
8
12
8
8
8
8
8
8
8
0
0
0
8
16
8
32
8
8
8
8
0
0
2
2
8
24
18
9
9
16
16
8
0
2
2
2
8
0
16
8
16
0
32
0
8
1
1
1
4
4
4
4
0
24
17
17
8
8
0
0
8
8
0
8
16
8
8
8
8
8
20
4
0
16
16
0
0
4
4
4
0
0
24
2
2
4
0
0
0
0
0
0
8
24
16
0
0
16
16
0
2
0
0
8
8
8
8
0
0
2
4
4
16
16
8
8
8
8
0
8
8
24
24
0
0
0
4
4
0
10
8
0
0
0
0
1
16
6
2
6
8
16
16
24
16
36
32
9
8
8
8
16
16
16
0
4
0
8
0
0
0
0
0
3
3
3
8
8
8
8
25
16
4
16
0
0
0
0
0
1
0
1
1
16
0
0
0
8
8
8
8
8
8
0
0
1
0
8
8
8
8
22
23
22
2
2
2
2
4
0
0
0
18
16
16
16
33
4
4
0
0
0
0
0
0
0
0
0
0
18
0
2
2
16
1
1
1
4
4
0
0
1
1
8
44
1
0
0
8
38
16
16
0
16
8
8
0
4
4
4
4
8
24
0
28
16
16
20
20
2
3
2
0
1
1
2
2
2
2
2
16
1
16
8
8
8
8
8
4
0
0
0
0
8
8
8
0
0
4
2
2
16
16
16
0
0
0
0
16
4
8
8
8
8
8
0
0
0
0
0
0
0
0
22
22
24
16
16
16
0
0
1
0
0
16
16
0
0
0
4
4
16
16
16
16
1
0
0
0
8
8
0
16
0
0
13
13
13
0
8
32
1
19
8
8
8
4
4
8
8
8
8
8
8
8
9
8
8
8
8
0
2
4
8
8
4
20
6
0
4
2
0
4
4
4
0
0
32
32
32
32
0
8
8
9
8
32
32
32
2
8
0
0
2
2
4
4
0
32
32
8
8
8
8
16
0
21
1
8
8
16
8
1
0
8
0
17
16
0
16
40
0
0
0
0
0
0
8
8
8
10
26
26
16
16
4
4
8
4
4
4
4
4
16
16
0
0
0
21
16
16
24
24
32
8
8
8
8
1
1
8
1
1
8
8
8
0
8
17
17
17
2
9
1
8
0
0
4
4
2
2
2
34
0
8
8
8
8
4
0
8
10
8
8
8
8
8
16
0
0
0
0
0
8
8
0
24
16
8
0
0
0
0
8
1
1
1
1
20
8
8
8
8
8
8
8
8
8
8
8
2
2
0
0
0
0
0
16
16
16
1
1
0
8
4
0
8
0
0
8
8
8
0
0
0
0
8
8
8
8
0
0
0
0
0
0
0
0
18
18
18
0
0
5
8
8
1
1
0
0
0
0
0
16
36
0
0
1
1
18
2
2
2
2
0
17
17
17
9
9
16
16
0
0
16
8
0
0
0
0
0
0
0
8
8
8
8
2
18
18
7
0
0
8
8
8
8
8
8
0
8
16
0
0
0
0
0
16
12
8
8
28
28
24
0
0
0
0
4
4
4
4
0
0
8
8
24
4
18
18
18
8
8
8
0
8
8
8
8
8
8
8
0
4
0
17
0
2
2
8
8
16
0
8
0
0
42
1
0
0
8
8
0
1
1
0
16
16
8
0
0
8
0
0
0
1
16
16
0
0
0
8
8
8
0
16
8
0
8
0
4
0
16
8
2
0
0
8
18
18
18
0
0
36
36
8
0
1
0
0
0
0
9
0
4
0
0
0
0
0
0
0
0
0
8
12
1
8
8
0
0
8
0
4
4
16
16
0
25
0
8
8
8
0
0
0
0
16
0
8
8
8
8
0
8
0
8
8
8
16
2
0
0
0
28
0
0
0
0
0
0
0
8
8
8
0
0
0
8
8
1
4
16
16
16
8
8
8
8
16
8
8
0
0
0
32
32
0
0
0
1
8
8
1
1
1
1
0
0
10
10
0
0
8
0
0
0
0
0
0
8
8
0
5
5
0
2
2
16
4
0
8
8
16
0
0
6
6
6
1
4
4
4
4
0
0
1
1
1
1
0
0
12
0
2
2
16
0
0
8
8
0
0
4
18
18
10
16
8
8
1
1
1
8
8
8
8
0
8
0
0
8
8
8
8
4
4
24
8
24
4
28
0
0
0
0
0
0
1
16
16
4
4
0
0
8
8
12
8
8
8
8
8
8
4
8
8
0
0
32
0
16
16
0
8
8
2
2
16
8
8
0
0
22
33
16
16
8
16
4
20
25
17
8
8
24
0
0
1
1
1
0
8
8
2
8
8
8
8
16
16
16
16
16
16
8
0
0
0
0
0
0
8
12
12
4
4
4
0
8
8
8
1
6
0
16
16
16
16
8
37
24
24
0
4
1
0
12
0
24
8
24
0
4
0
0
0
4
8
0
0
4
16
16
48
32
0
0
32
0
8
8
8
8
8
4
4
0
24
0
0
12
0
22
22
2
2
0
0
4
16
1
1
8
8
8
8
8
8
2
2
24
24
24
24
1
0
16
8
8
8
24
17
16
8
0
0
8
20
4
0
16
16
16
0
0
0
4
4
8
8
8
8
8
1
0
0
0
2
0
8
0
8
8
8
8
4
0
4
8
8
8
0
0
32
16
24
16
0
16
16
0
0
16
2
2
2
2
0
0
0
8
8
16
8
8
8
0
0
0
0
8
8
0
18
26
8
0
8
2
0
24
24
8
0
1
0
8
0
0
8
8
8
0
8
8
0
8
8
2
2
16
16
0
24
0
16
16
1
0
8
16
16
16
16
0
4
0
0
0
0
8
2
1
1
16
16
2
8
0
0
4
0
0
0
16
9
32
8
20
0
0
0
0
0
0
1
17
17
0
0
0
0
0
20
0
8
8
24
24
8
0
16
16
16
16
16
2
4
8
24
8
4
0
16
8
4
4
4
37
4
4
1
1
1
0
16
8
16
8
0
1
8
8
8
8
8
8
0
0
1
1
0
0
0
24
24
16
8
8
8
8
8
0
4
0
0
8
16
16
25
0
0
2
0
0
0
8
16
1
9
8
24
8
8
8
0
0
0
0
0
16
16
8
16
16
16
0
8
8
4
8
2
16
24
8
0
16
4
0
8
4
0
0
16
4
4
0
8
1
1
1
4
4
0
0
8
0
2
4
0
8
0
4
4
8
8
2
9
0
26
0
0
16
16
0
1
1
1
8
16
21
0
0
16
16
16
0
0
0
8
0
8
8
16
24
32
16
16
8
8
2
2
2
0
0
16
0
8
8
0
0
0
0
0
0
8
8
16
4
4
0
8
8
0
0
8
0
1
0
0
0
16
0
0
0
0
0
0
8
8
8
8
8
8
0
8
8
0
0
8
8
8
8
8
0
0
0
8
8
16
16
8
20
0
8
8
8
8
8
8
8
0
0
1
16
8
0
0
0
0
12
12
12
16
0
16
16
16
4
8
8
6
6
0
0
0
16
0
0
0
1
1
8
2
2
24
8
8
10
16
8
8
8
8
16
0
0
49
0
0
0
0
8
17
17
17
17
17
8
8
8
0
0
0
0
8
8
8
16
0
4
1
1
0
0
0
16
8
8
0
4
16
0
16
16
16
8
8
2
8
8
8
0
0
0
13
8
0
0
0
0
0
9
9
8
8
8
8
8
8
8
4
4
4
0
8
8
8
2
0
4
4
4
4
0
0
0
0
8
8
8
8
8
1
1
1
0
0
0
0
0
0
8
0
0
16
16
16
0
0
0
8
24
2
16
16
8
1
0
12
12
8
8
8
8
0
0
8
8
8
0
8
8
8
0
0
8
8
16
16
16
32
56
56
24
0
0
33
2
2
2
0
0
17
8
8
4
32
8
2
2
8
8
8
24
8
8
8
0
8
0
0
0
0
0
16
16
17
2
2
0
0
18
8
8
8
8
0
16
8
0
0
8
8
16
16
16
16
8
0
4
0
0
2
2
2
4
2
0
0
0
0
8
8
2
16
1
1
1
1
1
1
1
16
0
0
0
0
8
8
8
8
8
0
1
0
8
8
4
16
8
8
8
8
16
16
2
2
2
2
8
8
0
8
8
0
8
0
4
4
16
8
18
24
16
0
16
16
0
0
16
1
1
8
8
16
0
8
2
0
8
8
8
8
8
0
1
0
0
16
16
0
0
0
0
0
16
16
8
0
1
0
0
0
4
8
8
16
16
8
8
24
24
24
4
8
16
8
0
8
8
8
8
8
8
8
0
8
8
8
16
0
0
16
16
16
0
48
48
0
8
8
0
12
12
12
12
12
16
2
2
2
8
8
8
8
2
2
0
0
0
43
4
4
8
32
32
8
0
8
8
8
8
8
8
1
24
8
8
8
20
1
0
8
16
16
0
0
3
3
0
20
0
8
8
0
0
1
8
8
8
8
0
8
8
0
0
0
8
8
8
0
24
8
24
24
8
4
16
2
16
16
8
16
0
0
0
8
16
16
16
0
0
6
27
0
24
24
24
0
0
2
35
35
35
35
35
8
8
8
0
0
0
0
0
0
8
12
8
4
16
2
8
8
4
4
0
16
0
0
0
8
16
16
16
16
16
16
8
8
0
0
8
8
16
16
16
16
16
16
8
8
0
16
16
16
16
8
8
8
9
16
1
1
4
4
4
4
2
0
8
16
11
10
2
0
0
8
8
0
0
8
8
8
8
1
1
2
2
2
0
0
0
16
16
1
0
0
8
16
24
16
8
2
2
2
2
0
0
40
40
40
40
16
4
24
8
8
0
8
0
16
16
16
0
2
0
0
3
8
8
1
0
8
8
0
0
0
8
0
0
8
8
8
8
8
8
0
8
8
10
10
8
0
0
24
0
1
4
16
0
20
16
16
8
4
4
16
16
0
8
8
8
8
3
1
1
0
16
16
16
56
16
0
16
8
16
16
0
16
8
8
8
8
4
0
20
20
8
8
8
8
0
8
8
8
8
2
4
0
6
8
8
8
8
4
4
8
8
0
4
8
0
8
8
0
8
4
4
8
8
0
8
8
0
8
8
16
0
0
8
8
16
0
8
8
8
8
17
1
0
16
8
8
16
16
7
7
0
2
2
0
0
0
36
1
8
8
0
0
16
12
8
8
0
22
8
8
4
16
16
16
0
0
0
0
0
0
16
16
16
16
8
8
8
0
24
8
8
8
8
16
0
0
8
8
8
0
4
4
4
4
4
8
8
0
0
26
26
0
24
8
8
0
0
16
0
1
1
1
8
8
8
4
8
0
16
16
4
4
4
0
0
57
8
8
16
16
0
0
0
16
0
0
0
4
18
2
8
8
4
4
0
8
8
8
8
0
0
8
8
16
16
0
0
0
0
8
8
16
8
1
9
8
8
8
8
8
1
0
16
16
0
0
8
8
16
16
8
8
16
16
1
17
8
0
1
4
8
4
32
16
16
16
16
16
16
0
0
0
16
0
0
0
16
16
0
0
16
8
8
8
12
15
12
8
36
8
8
8
16
16
18
8
8
0
2
2
2
0
16
16
16
8
0
0
8
8
16
1
4
8
8
8
8
10
8
24
24
24
24
8
8
8
8
16
16
2
2
2
16
8
8
0
0
16
16
16
4
4
16
28
16
16
16
16
8
8
1
0
0
0
0
16
0
0
24
16
18
0
0
0
0
0
8
0
1
1
0
1
1
0
8
8
8
8
8
0
16
16
16
8
24
8
0
0
0
0
8
4
4
4
2
2
2
16
16
34
34
0
4
8
9
0
8
8
8
8
0
0
8
24
0
0
16
8
8
8
8
8
16
16
16
16
8
0
0
0
17
4
4
1
1
1
16
1
16
0
0
5
5
8
0
0
0
2
0
8
16
0
4
8
8
8
8
10
0
0
8
8
8
4
4
0
9
2
16
24
16
16
16
22
22
22
6
16
4
0
0
0
0
2
2
16
16
8
8
8
8
0
0
0
0
22
22
1
24
16
16
0
0
0
0
0
0
0
0
0
0
8
8
8
0
8
8
11
8
2
4
8
8
2
2
16
16
0
16
0
8
8
8
0
8
8
1
0
0
8
10
16
0
1
0
0
8
0
8
8
8
8
8
24
8
8
8
16
0
0
0
4
4
8
8
0
0
8
0
0
4
32
28
16
0
4
16
0
0
8
1
0
0
0
24
24
24
16
8
8
8
0
0
8
8
8
8
8
0
0
8
4
0
0
0
0
0
0
0
0
0
16
16
8
0
0
0
0
8
16
0
32
0
0
5
0
0
0
8
0
24
24
2
2
2
16
8
8
8
8
8
0
0
0
8
8
1
0
1
8
16
16
20
8
8
8
8
8
8
8
2
2
0
4
8
0
2
2
0
0
4
4
4
0
0
4
4
4
4
0
4
8
1
4
0
0
1
1
16
1
1
16
16
16
0
0
8
8
1
16
0
0
8
8
8
16
16
8
0
0
16
8
16
16
16
20
8
8
0
0
0
0
16
16
8
16
0
0
8
40
4
8
1
0
4
2
2
2
8
16
18
1
1
1
0
2
8
8
8
8
4
4
20
0
12
8
8
8
8
16
16
0
0
8
1
8
8
8
0
0
0
0
8
8
8
8
1
8
2
17
16
16
16
16
16
16
8
8
0
0
0
40
0
0
4
3
3
21
0
0
0
0
0
0
1
1
4
0
2
2
0
0
16
4
0
16
16
16
16
8
8
8
8
1
1
0
0
0
0
16
4
4
0
0
0
0
0
8
0
8
8
8
8
0
0
0
16
16
8
8
16
8
0
0
8
0
8
8
0
1
8
24
8
12
4
24
0
0
8
16
2
2
8
8
0
0
2
16
8
8
8
0
0
8
1
1
10
4
4
28
28
8
8
8
8
1
4
8
10
8
8
8
8
0
8
28
28
16
4
4
8
16
8
0
0
0
8
8
4
24
2
0
16
16
16
0
20
4
16
8
8
8
8
8
0
24
24
24
0
0
16
4
8
16
16
16
16
16
0
0
0
0
8
8
32
0
0
8
8
0
8
8
8
8
9
8
8
8
8
8
8
16
8
0
20
8
8
8
16
8
8
8
4
4
0
8
0
0
4
8
8
8
8
8
0
0
0
0
8
8
4
4
4
4
4
4
8
8
8
0
0
16
8
8
32
40
0
0
0
0
8
8
0
8
0
16
0
8
0
8
8
1
4
4
0
8
8
19
19
0
0
25
8
8
8
1
0
24
0
0
1
0
0
8
16
16
16
16
0
8
0
4
0
8
24
8
8
8
8
8
24
8
8
8
16
16
16
16
0
1
6
6
8
0
8
8
8
8
0
0
0
0
8
32
32
8
8
0
0
0
16
16
16
0
2
16
1
1
1
0
8
0
0
0
0
8
8
8
8
0
4
2
8
8
0
16
0
0
0
8
8
8
8
17
17
8
8
8
0
4
4
8
16
8
8
1
8
8
8
8
0
8
8
8
42
33
33
0
16
8
16
16
16
0
8
8
0
0
0
4
0
0
0
0
8
0
8
4
0
4
0
16
0
0
0
1
8
8
8
18
16
0
8
8
16
16
16
0
0
8
8
16
16
4
17
0
8
12
8
16
0
0
0
2
10
16
0
0
8
8
4
9
0
4
6
0
4
16
8
0
0
0
0
8
8
8
8
2
24
16
8
8
8
24
8
0
8
8
0
0
4
8
0
0
0
16
16
16
0
26
8
8
8
4
4
4
0
0
8
8
8
8
1
8
8
8
8
8
0
16
16
0
0
0
0
2
8
0
16
0
16
16
16
16
0
8
8
8
0
8
8
12
4
0
8
0
0
8
8
8
0
8
4
4
20
1
0
8
8
16
8
8
0
8
8
0
40
40
40
16
24
20
20
9
8
1
8
8
24
8
20
19
4
8
8
16
16
16
16
0
0
8
8
8
0
0
8
1
8
8
8
8
8
8
8
8
8
8
8
14
8
8
1
0
0
0
8
2
26
8
8
8
16
0
0
0
0
16
16
8
2
8
8
8
0
12
12
12
12
12
8
8
1
1
16
16
0
0
18
18
18
0
8
16
16
0
1
0
8
8
0
16
0
25
8
8
16
4
4
48
8
2
8
1
8
17
17
0
0
4
8
8
8
0
8
8
0
0
0
4
4
4
4
16
16
0
0
0
2
2
2
0
0
0
8
0
16
9
0
8
26
26
8
8
8
16
1
1
0
0
1
16
16
16
4
16
16
0
0
0
0
0
16
16
8
0
8
8
0
0
0
5
5
4
4
4
4
16
1
16
0
0
0
8
8
8
8
0
0
24
12
8
8
16
16
8
8
8
8
0
8
0
0
0
0
0
16
16
4
0
1
16
8
4
0
0
0
8
8
8
0
0
0
8
8
8
8
8
8
8
8
8
8
16
16
16
0
0
0
24
0
0
33
33
0
0
0
0
8
8
8
8
0
0
8
8
0
32
0
4
0
0
16
16
16
20
20
16
8
8
8
8
8
8
8
8
16
16
16
0
0
1
8
15
0
1
1
0
0
8
8
2
0
16
16
16
8
8
8
0
0
2
0
0
24
24
24
8
8
8
8
8
8
0
0
0
0
8
42
8
8
8
8
0
8
8
2
2
24
3
3
8
4
1
8
8
0
16
4
28
0
8
12
12
12
12
20
2
0
0
8
0
0
0
4
0
16
16
0
8
8
8
8
8
8
16
16
16
4
0
0
2
8
8
0
8
8
8
8
16
16
16
0
16
0
8
8
0
2
2
0
8
1
16
16
0
8
0
4
4
4
8
0
0
0
8
0
16
16
16
16
16
16
16
8
5
8
8
1
1
1
1
1
2
2
0
0
1
16
0
1
4
0
0
8
8
8
0
0
0
8
16
8
8
8
0
0
0
4
0
8
0
0
0
8
0
16
16
16
16
16
16
16
8
8
8
2
8
16
0
0
24
16
16
0
0
0
0
32
32
32
16
8
8
8
8
17
16
0
16
1
1
0
16
16
16
8
8
60
16
16
0
2
0
8
0
16
4
4
0
8
0
0
0
0
0
8
8
0
20
20
0
0
8
8
8
0
0
8
8
16
24
16
0
8
8
8
4
16
16
8
8
16
0
0
0
1
0
0
0
1
4
4
2
0
8
8
0
12
4
2
2
2
6
0
0
32
8
8
2
0
16
0
0
0
0
8
8
0
0
0
0
6
9
8
8
8
0
0
4
4
4
0
12
12
12
0
0
8
16
8
2
1
0
4
0
0
0
0
4
0
0
0
8
24
16
0
8
0
0
0
16
16
16
16
16
0
0
20
8
8
8
8
8
8
8
8
8
16
16
0
25
25
1
16
8
8
8
8
8
0
0
0
0
0
0
4
0
0
0
0
0
25
8
1
1
1
16
24
24
0
1
1
32
32
36
32
32
32
32
32
8
56
56
56
56
8
0
0
24
0
0
18
8
8
8
8
8
8
16
1
16
0
8
24
8
8
8
8
0
8
0
48
48
8
16
16
16
8
16
16
16
8
8
8
1
0
0
0
8
8
8
8
32
8
8
8
8
8
0
0
0
16
16
8
8
8
8
8
16
12
0
0
0
12
8
0
1
4
33
33
33
33
33
1
1
1
1
1
8
4
0
2
12
0
16
0
0
6
12
9
16
0
4
0
0
8
8
20
20
4
0
8
16
16
16
16
16
0
8
8
4
8
8
0
0
0
0
8
8
8
24
8
1
2
16
4
16
0
16
16
8
0
16
16
16
8
8
16
16
16
16
8
1
1
0
0
0
0
0
2
8
8
8
8
8
0
1
0
4
4
4
8
8
0
8
8
2
0
16
16
16
8
16
16
1
1
0
0
0
8
8
4
4
0
0
0
0
8
8
10
8
40
0
0
8
8
0
8
8
8
1
1
8
0
0
0
0
8
0
8
8
2
8
8
8
8
0
2
2
0
8
8
8
8
0
48
48
16
16
8
2
2
8
8
8
8
4
4
4
8
8
8
16
8
24
1
3
3
8
8
8
0
2
16
24
0
0
0
0
0
4
16
16
16
1
1
1
21
34
24
1
8
24
24
8
16
16
8
16
16
8
16
16
0
0
8
8
1
1
4
4
4
16
0
0
0
8
0
0
0
8
8
1
0
8
8
4
16
16
8
0
0
0
16
8
4
38
8
0
0
0
2
8
8
0
4
4
4
8
0
20
0
0
0
8
16
8
8
0
8
8
8
0
1
17
8
1
1
0
0
0
8
8
32
32
32
24
16
16
16
16
16
0
0
19
1
0
4
4
8
8
8
8
8
8
8
8
8
9
9
4
0
27
1
1
8
0
24
8
8
8
16
16
8
8
0
24
0
0
16
1
0
8
1
0
0
0
0
8
0
2
8
4
4
2
2
2
24
1
8
0
0
1
8
8
8
0
2
8
0
16
16
0
2
8
0
0
0
8
8
8
8
0
0
0
4
0
32
32
0
24
8
8
8
4
4
8
8
8
8
8
16
48
48
48
48
48
41
41
0
2
2
2
0
24
20
4
20
8
0
0
0
8
16
16
20
20
0
8
8
33
33
0
0
7
7
0
0
8
8
2
4
4
4
0
0
0
16
16
8
8
8
6
2
2
2
8
8
0
0
0
0
16
8
1
4
1
1
3
3
2
0
2
0
8
8
8
16
16
16
16
0
8
8
16
8
0
0
8
8
16
0
1
1
0
9
9
16
16
0
24
0
0
28
0
16
4
0
0
0
0
8
20
4
10
16
16
16
16
16
0
17
0
4
12
8
8
1
8
0
0
18
32
32
32
8
8
26
16
16
16
8
8
2
2
2
1
0
24
16
0
0
8
16
16
16
8
16
1
1
21
21
21
21
0
0
0
0
0
8
0
24
4
16
16
16
10
0
0
0
8
8
8
8
8
8
0
8
8
8
8
8
2
20
8
8
8
8
0
20
16
16
16
16
8
4
4
0
16
1
1
1
1
8
8
0
8
8
8
1
1
16
0
0
0
0
41
1
20
20
20
24
24
0
8
8
16
16
16
8
8
8
30
8
8
28
28
20
20
8
25
17
17
17
0
8
4
16
16
8
8
8
8
23
4
2
4
4
0
0
0
0
0
0
0
0
4
4
0
0
0
0
0
8
0
0
0
8
8
1
1
0
0
8
8
0
8
8
24
16
0
0
0
0
2
19
12
8
8
0
8
0
0
8
8
8
8
8
0
0
0
16
8
8
0
8
24
8
0
8
8
32
32
24
0
8
8
8
27
2
2
16
16
0
8
8
16
8
0
0
40
32
0
0
8
8
8
0
22
22
22
22
22
2
2
1
1
0
0
0
0
0
4
4
10
24
8
0
0
26
26
0
10
8
8
8
10
10
8
8
24
0
8
4
4
2
0
0
2
0
16
0
0
0
0
2
32
0
16
16
8
8
8
4
0
8
8
2
2
48
18
16
16
0
0
0
0
0
0
16
16
0
16
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
1
4
4
0
0
2
2
8
8
8
16
14
16
16
0
0
0
0
48
16
16
0
16
16
8
8
0
0
16
0
8
8
8
0
16
16
8
8
8
8
8
12
8
8
0
0
0
20
4
4
0
0
0
0
16
16
4
0
8
16
8
1
1
17
17
16
16
4
4
8
16
8
8
32
36
32
1
16
8
0
16
16
8
8
10
2
8
20
20
8
16
16
0
0
8
0
2
4
4
8
8
1
1
8
16
0
16
8
8
8
8
0
36
36
36
36
2
2
16
16
16
0
0
4
4
8
2
4
4
4
4
16
16
16
8
0
16
16
16
1
0
16
16
0
8
4
0
0
0
4
4
0
18
4
8
8
8
0
4
4
4
4
4
1
1
17
17
16
2
2
0
16
16
8
8
4
0
2
2
2
0
8
8
8
8
16
0
24
24
0
0
16
0
16
29
8
8
8
8
0
0
4
8
8
16
16
0
8
0
16
8
0
0
8
16
8
8
8
8
8
9
9
16
16
16
16
0
0
29
8
8
8
0
4
4
4
4
4
4
24
8
1
1
0
0
0
48
8
8
1
1
1
1
1
16
16
2
8
8
8
0
0
0
0
8
2
8
8
2
2
8
8
4
4
0
0
0
8
8
8
0
11
0
4
4
24
0
2
8
8
8
8
8
8
8
0
0
0
0
16
16
16
8
0
8
8
0
8
8
8
2
2
16
0
0
16
16
0
0
8
16
4
16
8
8
8
8
8
8
8
2
16
16
16
8
8
0
8
8
8
8
8
4
0
0
0
0
0
0
0
0
0
0
2
16
1
0
0
0
8
16
16
16
2
16
2
4
2
2
4
0
0
0
0
0
0
0
4
4
8
8
0
4
4
4
8
8
0
0
8
8
1
8
24
48
48
0
0
2
0
0
0
16
16
31
5
0
8
8
8
8
8
8
0
8
0
0
0
8
8
8
8
8
1
8
8
0
12
12
4
4
1
0
0
0
2
2
8
8
0
2
2
16
16
2
0
2
0
0
0
0
8
28
28
1
0
16
1
1
8
0
40
0
0
16
16
24
24
24
4
4
4
4
16
0
34
2
2
4
8
8
8
8
1
1
1
4
26
26
26
16
4
16
2
2
0
0
16
8
0
0
0
0
8
0
16
16
16
8
8
0
8
8
24
6
0
16
16
8
8
16
4
4
4
4
4
4
4
32
25
1
2
32
8
8
8
8
1
1
1
1
31
0
0
2
8
8
8
8
0
0
0
24
2
4
4
0
5
8
0
19
19
0
16
16
16
16
0
0
8
0
0
0
0
8
0
0
4
8
16
16
16
16
16
16
16
4
8
8
8
0
16
8
10
8
2
16
0
0
8
8
24
16
18
5
0
8
8
8
8
0
8
8
8
8
8
8
8
8
8
32
32
32
8
4
8
10
10
10
8
8
8
8
8
8
0
8
8
8
0
0
16
24
8
8
8
16
16
0
0
0
0
0
32
8
0
0
8
2
4
4
24
24
4
0
0
0
0
8
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
8
0
8
8
8
0
0
8
0
0
0
0
0
0
0
8
8
0
0
16
0
0
8
8
1
12
12
12
12
16
16
16
16
16
16
16
5
5
2
2
24
25
8
16
16
0
1
4
0
0
0
0
1
8
0
0
1
2
2
4
0
2
8
0
0
8
8
16
16
0
0
0
0
0
16
32
41
0
8
4
0
0
8
4
8
8
8
2
2
2
0
0
18
1
1
1
0
0
0
16
0
8
8
4
26
26
0
0
0
8
24
16
16
16
0
0
0
0
1
0
24
24
24
1
18
48
16
1
1
8
17
17
17
17
17
0
0
8
8
8
16
16
8
8
1
0
0
8
0
0
0
0
0
16
8
0
16
16
8
4
4
2
8
8
8
6
0
8
8
0
0
0
0
0
8
8
8
0
0
0
4
1
8
2
8
8
8
4
4
16
0
0
8
8
16
16
16
16
8
0
24
16
32
8
0
8
16
0
8
8
0
8
8
8
8
8
8
8
8
8
8
0
8
8
8
4
0
9
8
8
0
8
0
8
8
2
0
8
0
0
0
1
0
16
8
8
4
8
18
8
4
4
0
0
16
24
16
0
0
0
17
8
8
8
8
24
8
8
8
6
8
1
4
0
8
0
16
0
8
8
8
8
0
0
0
8
16
0
8
8
0
16
0
0
0
4
4
4
32
32
40
32
0
1
0
8
8
8
8
8
8
0
16
0
0
0
0
0
24
24
32
8
8
8
8
8
8
0
20
20
20
20
4
0
0
0
16
0
8
4
16
16
16
8
0
0
0
0
0
1
12
20
20
0
0
0
24
4
1
9
0
0
0
0
4
8
4
12
16
16
16
16
16
16
16
18
0
0
0
24
0
0
16
0
0
16
16
16
8
8
16
8
8
0
10
8
0
8
8
8
2
2
8
0
0
0
0
8
8
0
16
16
16
16
16
0
0
31
31
8
8
1
0
16
16
16
16
16
0
0
2
8
8
4
12
12
4
8
0
0
0
24
16
16
1
2
2
4
8
8
8
1
4
4
4
4
4
0
8
8
8
8
0
0
8
1
8
10
16
12
12
8
4
4
4
4
4
0
0
0
1
0
2
2
16
16
0
0
0
0
0
17
18
0
24
14
1
16
16
0
2
2
2
0
17
8
8
8
2
8
8
2
2
8
8
8
8
0
0
0
8
8
28
8
8
8
0
0
12
2
2
16
0
0
0
0
0
4
8
0
8
16
16
18
4
4
0
16
0
8
16
8
8
0
12
16
0
1
8
18
8
4
16
2
2
8
0
0
0
0
8
0
0
16
8
8
24
24
16
16
16
0
0
32
32
24
24
0
24
24
24
48
54
2
2
2
0
8
8
0
4
4
8
8
8
8
8
4
4
4
4
4
8
8
8
24
1
1
1
24
2
0
0
0
16
8
8
8
2
2
4
8
2
16
0
0
0
8
8
8
8
8
8
8
8
8
8
8
0
0
0
8
8
8
8
8
8
8
8
4
0
0
8
8
8
16
16
8
16
0
8
8
0
0
8
8
0
16
16
8
8
0
8
0
0
8
8
8
8
8
8
0
8
8
0
8
8
8
8
8
1
1
9
0
0
20
24
24
0
0
8
0
16
16
16
8
0
8
8
8
8
0
9
2
8
8
8
8
8
8
8
8
8
8
1
16
8
48
56
8
4
0
0
0
1
1
1
1
4
4
4
4
8
8
8
24
8
8
8
8
8
8
0
0
8
0
0
0
8
8
8
8
8
0
28
17
17
17
18
0
16
0
0
0
0
8
16
0
8
0
0
0
0
0
16
16
4
4
4
8
8
8
0
16
32
0
0
4
2
2
2
2
0
8
0
17
0
18
18
16
32
0
0
0
16
16
8
8
8
8
4
4
25
25
0
8
8
8
1
1
8
8
0
0
0
8
1
17
0
8
17
0
34
34
8
8
4
4
4
1
1
1
4
2
0
16
16
0
4
7
7
0
0
16
0
0
0
2
4
4
0
8
16
8
0
0
16
16
2
0
4
4
0
9
0
0
0
0
8
0
0
6
0
0
0
0
0
0
0
4
4
4
0
0
0
0
0
0
0
0
0
0
0
0
16
1
16
18
8
0
8
0
0
24
0
0
0
0
0
8
0
8
8
0
0
0
0
0
0
16
0
1
0
0
0
0
0
0
0
0
0
0
0
1
3
0
0
0
8
12
12
8
1
1
8
8
0
0
0
0
0
0
0
8
8
8
0
24
16
16
0
0
1
0
0
14
14
2
0
0
16
0
0
0
0
8
0
17
0
48
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
24
24
24
0
0
0
0
8
0
0
0
0
0
8
0
4
4
4
4
0
0
0
0
0
0
0
8
0
0
8
16
16
8
8
8
0
0
8
16
0
0
8
8
8
0
0
16
0
0
0
0
0
0
0
4
0
0
0
0
0
0
4
0
2
2
2
16
0
1
16
16
0
4
4
0
0
0
20
0
0
0
0
0
0
0
4
8
0
0
2
2
2
0
0
0
0
0
0
0
0
0
1
0
2
2
0
0
0
0
0
0
0
24
0
0
0
0
0
8
8
0
16
16
8
0
0
0
54
0
4
4
4
4
8
0
2
8
8
8
0
0
8
0
0
16
16
0
0
8
8
2
0
0
0
8
0
0
4
49
49
0
8
8
0
0
0
16
1
1
0
16
16
0
16
16
0
8
8
0
16
0
0
4
0
0
8
8
0
0
2
2
0
0
0
16
16
8
0
0
0
0
0
0
26
4
4
4
24
24
0
8
8
0
0
0
8
32
32
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
8
8
0
0
0
0
0
0
0
0
0
0
0
0
8
16
16
16
4
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
0
0
0
0
0
0
20
20
0
0
0
0
52
0
0
4
8
24
24
0
8
8
8
1
1
0
0
0
0
16
4
4
0
0
0
8
8
1
2
2
0
16
22
8
8
4
0
0
0
17
16
16
16
0
8
0
2
0
0
0
0
1
0
0
0
16
16
0
0
0
0
0
0
16
0
0
0
16
16
0
0
0
16
4
4
0
0
0
8
8
0
0
0
0
0
0
0
0
2
2
4
4
8
8
8
8
8
0
8
8
8
8
8
0
24
0
0
2
2
0
0
0
3
0
0
0
2
2
0
0
0
0
0
16
0
0
8
16
8
0
24
8
8
16
16
8
8
16
0
20
0
16
0
0
0
8
0
0
0
0
0
0
8
49
0
0
0
0
4
8
8
0
0
0
0
0
0
0
8
8
8
8
0
0
0
0
0
2
0
0
0
0
24
24
0
0
0
0
0
8
8
8
0
25
0
0
4
1
0
0
0
0
0
0
0
0
0
0
9
4
4
4
0
0
16
16
0
0
8
8
8
0
8
38
38
54
38
0
0
8
4
0
0
0
1
1
4
16
0
16
16
8
8
0
0
8
0
0
16
16
16
16
0
16
0
0
0
0
0
0
16
16
0
1
1
3
48
0
0
8
0
0
0
0
0
0
8
8
8
8
8
8
0
0
0
0
0
40
40
40
4
16
0
8
8
0
0
16
16
26
0
0
32
4
4
0
0
8
1
4
0
0
0
0
0
16
16
1
1
0
0
0
0
8
0
0
12
12
12
12
0
0
0
0
0
0
8
1
8
25
0
0
0
0
0
0
0
0
0
0
8
0
8
0
0
8
0
0
50
0
25
0
0
0
0
4
8
1
0
0
0
0
0
2
2
2
8
0
9
10
18
14
14
0
4
4
4
0
0
0
8
8
8
0
0
0
0
0
0
0
8
0
8
1
1
6
16
1
1
0
0
0
16
18
18
10
0
0
0
0
8
16
22
22
8
8
8
1
2
8
0
0
0
0
0
0
0
16
0
0
0
0
16
16
16
0
8
4
4
0
0
0
0
4
4
4
0
4
4
4
4
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
0
0
20
0
8
8
4
0
0
0
0
0
0
0
0
0
10
10
0
0
16
16
0
9
8
0
6
0
0
36
0
2
0
0
0
4
4
6
0
17
17
16
16
16
16
16
1
0
0
16
0
16
16
0
0
4
8
8
0
0
16
8
8
0
8
0
16
16
0
0
0
0
8
2
0
16
2
2
4
4
4
4
4
4
0
8
0
16
0
0
2
0
0
9
0
0
0
0
0
0
0
0
0
0
9
0
0
0
0
24
8
8
0
0
0
0
0
24
24
24
57
16
0
56
56
0
8
8
5
5
0
0
0
0
8
0
0
8
16
8
0
8
0
0
4
0
0
0
0
16
16
1
0
0
0
0
16
16
16
8
0
0
0
0
0
0
28
0
0
0
4
4
0
16
16
0
0
0
18
8
4
8
0
0
0
0
0
16
16
1
27
6
0
8
8
8
4
4
4
4
8
0
8
0
0
0
0
0
0
0
0
16
1
16
17
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
16
8
0
0
8
2
2
8
4
4
4
0
0
0
0
0
0
0
0
0
1
1
16
16
0
55
8
8
0
48
1
8
8
0
0
8
0
0
0
0
0
0
32
16
16
16
16
0
0
1
0
0
0
0
16
16
0
8
0
20
8
8
8
8
8
0
0
8
8
16
0
4
4
2
2
0
0
0
0
0
8
16
16
0
0
0
0
0
0
0
0
0
16
0
17
16
8
0
4
4
16
16
16
16
20
16
0
0
4
0
0
0
0
0
0
4
0
4
0
0
0
0
0
0
24
0
0
0
0
0
0
0
0
16
0
16
16
16
0
0
0
0
0
0
16
0
0
0
0
8
21
21
21
21
5
16
21
16
0
0
2
25
25
25
0
0
8
16
0
0
0
0
0
0
12
0
0
16
2
24
0
0
0
0
0
0
0
0
0
0
18
18
18
5
0
0
8
2
2
0
32
16
36
8
14
0
0
0
0
31
0
6
0
0
0
0
0
0
4
4
16
0
0
0
0
8
0
0
0
1
16
16
0
0
0
2
2
2
2
2
16
16
16
16
16
16
8
40
0
0
1
4
0
0
8
8
0
4
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
2
2
16
16
4
0
0
0
0
17
17
0
0
0
0
0
0
16
0
0
0
1
0
0
0
0
8
8
8
16
0
0
0
0
0
2
2
0
8
8
8
0
4
4
0
0
0
0
0
0
0
0
0
16
0
8
40
8
40
1
0
0
0
0
0
0
0
2
0
0
0
0
8
0
0
0
0
0
0
20
4
0
0
0
16
8
8
8
4
1
0
0
8
8
16
0
0
0
0
0
0
0
0
4
20
28
28
0
0
1
0
0
0
0
20
20
16
0
4
0
0
20
16
16
8
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
12
20
2
4
0
0
0
0
0
0
0
0
12
12
0
8
8
0
0
0
0
18
8
8
0
0
0
0
0
0
0
0
0
8
8
8
20
20
0
0
16
25
25
16
0
0
0
0
0
20
0
8
8
0
8
8
0
0
0
0
0
0
0
16
17
8
16
8
0
8
0
0
0
0
0
1
0
0
0
0
24
4
4
0
0
0
0
0
0
0
8
8
0
0
8
0
25
25
0
0
0
0
8
0
0
16
16
8
18
0
0
8
0
0
0
8
0
8
8
8
8
0
0
0
1
8
24
0
0
8
32
32
32
32
32
16
40
0
0
8
1
4
4
0
18
8
8
8
16
1
4
4
0
0
8
0
16
0
8
0
8
8
0
0
0
0
0
0
0
4
0
0
0
0
0
8
8
8
24
1
16
0
0
0
0
0
18
18
18
18
0
0
0
0
16
20
0
0
0
8
0
0
4
0
0
8
2
0
8
24
8
8
16
0
8
8
0
8
0
0
44
44
44
0
2
0
0
0
8
8
8
0
0
0
24
24
8
0
0
60
0
0
0
9
0
0
0
0
8
8
8
8
16
16
0
0
0
8
4
0
0
0
16
18
1
0
0
0
0
0
8
40
40
40
0
0
0
0
8
4
4
2
0
0
0
2
2
8
8
0
0
0
0
0
0
0
4
0
0
0
2
16
2
18
16
16
0
0
0
16
0
0
0
0
0
8
40
40
8
8
8
8
8
16
16
16
16
2
16
12
0
0
0
8
0
0
0
0
22
22
2
2
5
9
0
0
0
8
8
24
24
0
0
0
0
16
1
1
1
0
8
0
0
0
0
0
0
0
0
0
0
8
4
0
0
0
0
0
0
0
0
0
8
0
0
0
16
16
16
24
16
8
8
8
8
0
16
0
0
0
0
0
8
0
0
0
18
0
2
8
8
0
4
4
0
26
26
8
0
16
8
0
0
8
4
4
4
0
0
8
4
4
0
8
0
0
2
2
2
19
19
19
0
12
0
0
0
0
16
16
0
0
16
32
0
16
16
16
0
0
0
0
0
1
0
0
0
8
8
0
0
0
4
4
16
0
0
16
0
0
0
0
0
8
10
17
0
4
0
16
16
16
0
0
10
10
0
0
24
0
8
29
0
32
32
8
0
4
0
0
0
2
16
2
0
0
8
0
0
4
8
0
0
16
32
0
0
0
5
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
8
8
8
8
8
0
0
0
4
4
4
24
0
0
0
12
4
4
16
0
0
0
0
0
0
0
32
32
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
8
8
8
8
0
0
16
16
0
0
0
0
8
0
0
0
0
0
0
0
0
0
8
0
16
16
0
8
8
16
8
16
0
0
0
0
0
8
0
0
4
0
16
0
0
0
0
0
0
16
16
16
1
0
0
4
2
0
0
0
0
0
0
0
0
0
0
1
8
0
0
8
8
8
12
0
0
0
0
0
0
0
0
8
8
0
40
40
40
40
4
16
16
8
0
16
0
0
8
8
0
0
0
0
4
4
0
0
0
0
0
8
0
0
0
0
0
8
8
16
0
16
0
8
8
8
0
0
0
0
0
0
8
0
8
8
8
4
1
1
0
0
20
16
0
0
16
4
16
0
0
0
0
0
8
8
8
0
0
0
0
4
0
0
0
0
8
0
2
1
1
4
4
4
0
8
0
8
0
0
8
0
0
16
16
12
0
0
0
0
0
0
8
0
0
0
0
0
0
0
8
8
8
8
8
8
8
0
0
8
8
0
8
8
0
8
8
8
8
8
0
16
18
16
8
0
2
2
2
0
16
12
0
8
0
0
0
0
9
0
0
0
2
0
0
0
0
24
24
24
2
2
16
8
8
0
0
0
0
0
4
4
4
16
0
0
0
0
22
22
2
2
0
0
0
0
0
2
2
0
8
8
0
32
0
0
0
8
16
24
0
0
0
2
0
1
1
16
16
0
0
17
0
0
16
0
16
0
0
0
0
0
1
1
0
0
0
0
0
0
16
0
0
0
8
8
0
0
1
1
24
24
24
20
8
0
0
0
8
0
2
20
1
0
26
26
25
2
0
0
0
0
2
2
2
8
0
0
0
16
0
0
4
0
0
0
0
0
0
0
0
8
0
8
24
8
8
8
0
0
8
0
0
0
1
16
16
0
4
4
0
0
16
0
16
16
0
0
0
0
8
8
0
0
0
0
0
23
8
0
0
0
0
0
17
16
8
0
0
16
0
17
17
8
8
8
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
12
0
8
8
8
16
0
0
0
2
2
2
0
0
0
0
0
0
16
1
0
0
4
4
4
4
5
16
8
8
0
0
0
0
0
0
0
0
1
1
0
4
16
16
0
0
0
0
0
0
0
0
8
4
0
0
0
8
8
24
0
0
0
5
16
16
16
8
0
0
0
0
0
10
10
10
10
32
0
0
0
0
0
0
0
0
0
16
1
0
0
8
8
24
0
0
0
0
8
16
16
0
0
8
8
9
0
0
4
8
8
0
20
20
0
0
0
0
0
0
4
0
0
0
0
4
40
0
0
8
8
0
0
1
0
0
0
0
0
2
2
2
2
0
0
0
0
8
8
0
0
8
8
8
4
4
8
2
2
2
24
24
0
8
0
0
0
0
0
0
0
0
8
8
8
8
8
0
8
0
8
0
0
8
0
0
0
0
16
16
0
0
0
0
0
0
0
4
1
0
2
2
2
16
0
0
0
0
8
0
0
0
0
4
4
4
4
4
0
25
25
0
0
0
0
8
0
4
0
1
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
0
8
0
0
0
0
8
8
8
1
0
0
8
8
8
16
0
18
8
8
8
8
0
0
8
8
8
8
8
0
0
0
0
16
0
0
0
0
0
0
0
8
0
2
0
1
1
2
2
8
0
4
4
4
0
16
36
16
16
8
0
10
10
4
0
0
0
0
16
8
8
0
0
20
7
8
8
8
0
20
0
5
0
0
16
0
0
8
0
0
0
0
0
0
0
0
4
0
0
0
0
8
8
8
8
0
0
23
0
0
0
0
0
12
8
0
0
16
0
8
0
8
8
0
0
0
0
0
0
0
2
6
0
0
0
0
16
20
20
24
24
0
0
8
0
0
0
7
0
0
16
16
0
0
22
4
0
0
8
8
8
8
1
8
8
8
24
8
0
16
0
12
12
0
1
8
18
18
0
0
0
0
8
8
4
4
4
0
0
0
0
0
8
0
0
0
0
16
8
0
0
0
24
8
0
0
0
8
8
16
0
0
8
8
0
1
1
0
16
16
16
16
4
0
0
0
0
0
0
16
16
16
0
0
2
8
10
0
16
6
4
4
4
0
8
0
4
4
4
8
0
2
0
0
8
0
4
20
0
16
16
16
0
44
12
0
0
0
16
16
16
8
8
8
6
6
0
8
8
8
0
0
0
8
16
4
4
0
16
0
0
16
16
16
0
0
0
8
8
8
0
8
16
0
16
10
8
4
4
4
4
0
0
32
32
0
8
8
16
0
0
0
0
0
0
0
0
8
24
0
0
8
2
2
0
0
0
0
2
2
2
16
8
0
0
16
0
0
0
0
0
0
0
0
0
16
8
8
8
8
8
0
16
0
0
0
32
0
0
16
36
28
16
6
6
0
12
12
1
1
16
0
0
0
8
8
8
8
8
8
8
8
0
0
0
0
0
0
4
0
0
0
2
0
0
8
2
0
0
0
0
0
0
0
0
4
4
0
0
0
0
1
1
16
0
2
0
0
16
16
4
0
0
5
4
0
8
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
8
8
8
8
0
0
8
0
0
48
0
0
0
0
0
16
0
0
2
18
0
0
0
0
0
0
0
0
2
8
8
8
0
0
42
42
8
9
0
0
32
0
16
16
4
0
0
0
16
16
8
8
0
0
0
0
16
16
16
0
0
0
16
16
0
0
0
16
0
0
2
13
0
0
0
0
0
0
0
0
4
8
8
0
0
0
0
0
0
8
8
32
32
8
8
0
1
0
16
8
8
8
16
20
0
8
8
0
0
8
0
0
0
8
8
8
8
0
0
1
24
16
0
0
16
0
8
0
0
0
0
0
0
0
4
0
0
4
4
0
0
0
0
8
8
8
0
0
8
0
8
0
0
16
4
8
0
0
0
0
0
0
0
16
0
0
0
0
0
0
1
1
1
0
0
0
0
8
8
16
8
8
8
8
8
0
0
0
8
8
0
4
18
8
8
8
8
0
0
0
0
0
16
16
16
16
16
16
16
16
0
0
0
0
24
24
0
4
0
8
8
0
2
2
2
2
0
0
0
0
0
0
0
0
34
34
0
0
0
0
16
16
0
0
0
16
0
0
8
8
1
16
4
18
18
18
18
8
8
0
0
32
17
0
0
0
24
8
0
0
0
0
0
0
4
4
4
0
0
0
0
0
0
0
0
16
24
24
0
0
0
0
0
0
0
0
0
0
8
0
16
8
8
0
0
0
0
16
0
0
8
8
8
8
0
0
0
0
16
0
0
0
8
16
16
16
0
0
0
0
0
2
2
2
8
8
0
0
0
0
0
0
0
0
19
1
2
2
0
0
8
8
8
8
0
2
0
8
8
0
20
20
0
10
10
10
1
1
0
0
0
16
16
0
0
0
0
16
0
0
20
1
0
0
0
2
0
16
16
16
16
0
1
1
0
0
24
24
21
0
0
0
0
0
24
0
0
0
6
0
0
0
16
16
0
0
8
8
0
2
2
0
0
0
0
8
8
8
8
2
0
0
0
0
0
0
0
0
16
16
8
16
4
0
0
0
32
0
0
0
8
8
18
0
8
8
8
0
0
0
0
16
0
20
20
20
0
0
0
0
0
16
16
16
0
0
0
4
16
0
0
8
0
16
16
0
8
8
8
0
0
0
4
21
16
16
0
0
8
8
2
0
1
2
0
16
16
0
0
32
8
0
8
8
8
4
8
8
0
0
8
8
0
0
6
0
2
2
2
16
16
28
0
16
16
20
4
0
3
0
0
0
0
0
0
0
8
8
16
0
0
8
8
0
8
0
0
16
20
16
0
0
0
2
24
0
0
0
16
16
16
8
8
4
0
16
32
16
0
0
4
4
0
8
0
0
16
0
0
0
16
16
4
4
1
0
16
8
0
2
40
0
0
0
8
8
0
0
0
8
8
0
24
8
0
8
0
0
0
1
0
8
8
0
0
8
8
8
8
0
0
0
0
8
8
0
0
0
0
24
2
2
2
2
2
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
37
0
0
0
2
8
0
9
8
8
14
0
0
0
0
0
0
0
0
8
14
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
8
8
0
24
16
8
8
8
9
9
9
9
8
8
8
8
2
2
0
0
4
20
9
9
0
0
0
8
8
46
8
0
32
0
0
0
0
8
24
0
0
0
16
8
8
8
0
8
16
0
0
16
0
8
8
8
16
0
0
0
10
0
0
12
8
1
0
0
0
1
9
9
9
0
0
0
0
0
0
8
8
8
0
8
8
8
8
8
16
16
0
0
8
8
0
8
16
8
8
8
8
0
4
4
4
8
8
8
8
8
8
8
8
8
8
8
16
8
2
2
2
2
8
8
0
0
0
0
12
0
0
0
16
16
8
0
0
0
16
0
0
0
0
8
0
0
25
25
0
0
0
0
4
0
0
0
8
1
0
1
0
0
2
2
0
0
16
8
0
1
8
8
8
8
8
4
8
8
8
0
0
0
0
8
8
8
0
24
0
0
0
16
0
0
0
0
0
0
0
24
4
0
1
0
0
16
0
4
8
0
0
0
0
0
0
0
4
4
4
1
1
0
0
0
0
0
0
0
8
8
8
8
8
0
0
0
0
0
0
0
2
0
4
4
0
0
9
16
16
0
0
0
16
4
0
0
0
8
8
0
0
0
8
0
0
0
0
8
24
0
4
16
0
0
0
0
0
0
0
0
0
0
4
28
16
16
16
0
0
0
0
0
0
0
8
8
0
0
8
8
8
0
0
4
0
0
4
4
16
8
8
6
8
12
8
0
0
0
0
4
1
8
8
8
32
0
0
0
0
0
0
16
16
4
16
16
16
16
0
0
0
16
16
4
0
8
0
0
0
0
16
0
0
0
0
0
0
0
0
4
16
16
0
8
0
4
16
16
16
16
0
16
16
0
0
0
0
0
0
0
0
0
16
4
16
16
24
8
8
0
0
12
8
0
0
16
2
0
2
0
0
0
0
0
4
0
0
3
0
0
0
6
6
0
16
0
0
0
0
1
1
1
1
0
24
0
0
0
0
0
0
0
0
8
0
0
0
29
0
8
0
32
0
0
0
0
0
17
16
20
0
0
0
0
0
8
0
0
0
0
0
16
16
16
2
2
0
0
0
0
8
0
0
0
0
0
20
20
16
16
0
4
0
2
0
0
0
0
16
8
0
0
0
0
12
12
0
0
0
12
0
0
0
16
16
16
0
0
0
8
0
0
0
8
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
4
8
0
0
0
0
0
2
0
0
0
0
0
18
0
0
0
0
0
0
0
0
3
1
4
4
0
4
0
0
4
0
8
8
8
16
16
16
21
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
4
4
0
0
8
8
0
16
8
0
0
0
0
8
8
0
0
0
4
4
4
8
8
8
8
8
8
8
0
0
0
0
0
0
16
16
0
0
0
1
1
0
0
0
0
0
0
0
2
0
0
0
16
16
7
0
0
0
1
1
1
4
0
24
8
16
4
8
8
8
0
0
0
8
8
8
0
0
0
8
8
16
16
0
0
0
0
0
0
0
0
0
0
0
4
16
16
4
4
4
4
4
4
4
8
8
8
4
4
8
0
0
0
0
0
0
0
1
8
24
24
0
16
0
3
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
4
4
4
2
2
0
4
4
0
0
0
2
8
8
0
5
0
24
24
8
0
0
0
0
0
0
8
8
0
32
32
8
36
0
0
0
17
4
8
0
4
4
4
4
4
0
1
4
8
8
8
0
0
2
2
2
4
8
10
0
0
8
8
8
8
0
39
8
8
0
0
0
32
32
32
0
8
8
0
0
1
9
6
8
0
0
0
8
8
0
0
8
8
0
0
0
16
12
16
16
0
0
0
8
0
0
8
24
16
20
0
0
8
8
0
8
8
24
8
29
0
8
8
0
0
0
0
17
0
0
0
0
2
8
8
0
0
4
0
2
2
2
2
2
8
8
8
8
0
8
8
0
8
8
1
0
0
8
8
0
8
8
8
0
16
4
0
32
32
32
0
12
12
0
0
16
16
16
16
8
4
4
8
8
8
0
8
8
0
16
8
0
0
0
24
0
8
8
12
0
2
0
16
16
8
8
16
16
8
8
8
0
0
8
8
8
8
16
16
16
0
0
0
16
16
4
2
0
8
0
4
8
0
29
29
24
4
4
4
8
8
0
8
0
0
2
8
8
0
0
4
4
4
4
4
39
39
39
0
0
8
0
18
18
0
8
24
24
8
0
0
0
0
8
4
1
0
0
0
0
16
8
8
9
0
0
1
0
8
8
8
0
0
0
32
32
0
8
0
0
0
0
0
8
8
8
27
27
0
0
24
24
8
8
8
0
0
0
0
0
48
32
18
18
6
4
4
24
0
8
8
2
2
2
8
16
0
0
0
24
0
0
0
16
16
6
2
8
0
0
8
8
0
16
1
0
0
0
0
0
14
8
8
17
8
8
8
8
0
0
9
9
0
0
0
16
16
0
0
8
36
36
8
16
1
1
1
0
18
2
16
2
0
8
0
0
12
0
16
0
8
8
12
16
0
1
2
4
4
8
8
8
8
16
0
0
4
16
16
16
8
16
16
10
10
4
0
0
0
0
16
0
0
16
16
16
0
0
1
1
0
12
0
4
0
16
16
16
16
0
6
8
16
16
0
0
0
4
2
8
8
8
0
0
0
0
16
0
0
16
16
0
0
8
8
0
0
0
8
8
0
16
16
0
0
0
16
6
4
0
0
0
0
16
8
8
8
0
0
8
0
0
0
0
0
0
0
0
16
8
0
8
8
1
1
0
8
16
8
8
8
18
18
24
0
16
0
0
1
0
8
8
8
8
8
8
8
8
8
0
16
8
0
0
2
2
8
8
12
0
0
16
8
20
8
4
8
32
34
34
34
34
2
2
16
0
8
10
0
8
16
24
0
0
4
32
32
32
4
4
0
1
8
0
8
4
4
4
20
0
0
4
4
4
0
8
8
8
8
4
8
8
0
16
16
4
4
0
8
8
0
0
0
0
0
0
0
16
0
0
0
0
26
16
32
0
6
4
0
40
4
4
4
0
0
16
9
9
8
8
0
17
32
32
2
0
2
8
8
8
0
0
0
2
0
8
8
8
12
0
0
20
0
16
8
8
8
18
2
0
0
0
0
16
16
16
16
0
0
8
2
2
2
0
0
16
16
4
4
4
16
16
8
0
16
0
2
2
16
0
2
0
0
32
8
8
8
16
8
4
0
16
32
32
0
0
8
8
0
0
0
0
0
2
0
0
0
2
17
0
20
8
8
0
0
0
0
0
0
18
16
24
0
0
0
16
16
0
0
16
8
8
24
0
16
16
16
0
0
26
8
8
8
8
8
26
0
16
1
4
4
8
16
0
8
16
0
0
32
32
8
8
0
0
0
16
16
16
16
16
16
16
0
0
0
1
1
16
8
8
8
8
0
8
8
8
8
4
8
0
0
0
4
2
52
8
48
16
4
8
8
1
0
0
0
0
8
8
16
16
16
0
8
3
3
3
8
8
8
8
8
8
8
27
27
27
0
0
8
0
0
2
0
0
0
0
16
0
0
4
4
0
8
1
1
8
8
1
0
8
0
0
8
0
0
0
8
0
2
2
28
24
16
0
8
8
8
8
8
0
8
8
0
0
0
0
4
1
16
16
16
16
8
8
8
8
8
8
8
16
1
8
8
8
1
1
4
4
4
8
8
8
8
0
0
0
0
8
0
0
4
0
1
1
60
60
0
8
8
8
4
4
4
4
16
0
0
0
5
0
16
16
8
1
8
0
0
14
16
2
2
8
16
8
0
0
0
16
16
39
39
39
0
19
19
1
1
0
0
8
2
0
8
8
16
0
0
0
24
1
0
10
1
0
0
0
8
8
0
0
0
0
1
44
16
0
1
0
8
8
0
4
8
8
8
0
0
8
8
32
32
32
8
8
0
0
8
8
0
0
16
16
16
0
0
0
2
2
16
16
16
16
16
4
4
0
0
4
0
2
2
2
24
24
8
8
8
8
8
8
0
0
0
0
2
8
0
0
0
0
0
0
0
0
8
0
16
0
8
8
8
2
2
0
0
20
0
0
4
8
36
36
16
16
16
16
16
0
0
8
8
0
17
0
0
8
0
8
8
24
24
8
0
0
0
24
4
0
8
8
8
8
8
25
24
24
6
6
24
8
8
8
0
0
0
27
8
1
24
24
24
24
6
16
0
0
0
16
0
0
8
8
0
0
16
16
8
18
0
0
0
8
1
0
0
8
0
4
0
0
0
48
48
8
16
16
16
8
16
16
0
0
0
0
0
4
1
1
0
4
8
8
1
8
8
8
0
0
0
0
1
4
4
0
2
2
2
0
8
16
16
16
8
24
0
0
0
0
24
8
8
8
8
16
16
0
8
0
8
8
16
16
4
20
8
8
0
8
16
8
0
0
0
2
0
16
8
16
0
0
0
0
0
0
18
32
32
8
8
8
8
1
8
0
1
16
24
0
0
1
8
8
8
0
4
0
0
0
0
0
0
21
16
0
18
18
18
8
25
8
4
4
32
8
0
0
8
4
0
0
8
8
0
4
8
8
8
2
16
16
0
0
16
12
0
0
20
8
8
8
8
8
2
4
8
2
2
2
8
16
16
16
16
16
16
16
16
16
16
8
16
8
8
1
0
16
0
21
0
0
0
8
8
8
8
8
2
2
0
0
0
1
8
8
8
8
8
8
8
1
1
1
0
0
0
0
0
0
0
0
4
24
24
24
19
19
8
8
8
32
10
10
0
0
0
4
4
4
4
24
24
16
8
8
1
1
0
8
4
16
8
0
0
24
0
0
0
8
8
8
8
8
8
48
0
0
0
0
28
28
28
0
32
1
1
1
0
0
0
16
0
0
0
8
8
8
8
8
8
0
0
16
16
8
8
8
8
8
33
1
1
1
1
0
0
8
8
36
36
0
0
0
0
0
8
16
16
16
16
2
2
0
0
32
32
32
32
16
16
18
16
0
0
0
16
0
8
8
8
8
0
0
0
0
0
4
4
4
4
4
8
4
8
8
8
16
16
8
16
16
0
8
4
4
4
8
8
8
8
16
16
8
10
16
0
16
16
0
0
16
0
16
16
24
2
0
8
8
8
0
8
1
1
1
8
16
32
32
16
16
25
0
2
2
16
16
36
1
4
16
0
0
0
16
0
8
0
0
0
0
0
8
0
0
8
8
8
8
0
0
1
1
9
9
9
20
16
16
16
0
0
24
24
0
0
0
8
8
8
61
0
0
0
16
16
8
8
0
8
8
8
8
0
16
16
16
16
16
16
0
0
4
8
0
0
8
8
0
0
0
1
1
1
1
1
0
8
8
8
24
0
0
25
9
9
4
4
21
21
4
4
4
4
4
4
0
16
16
8
0
0
1
2
2
16
16
24
1
1
8
0
0
0
9
8
9
8
0
1
1
0
0
0
0
0
1
16
0
1
1
8
8
8
8
2
8
8
8
8
24
12
16
0
2
8
8
8
1
2
2
16
16
16
16
0
0
16
0
0
16
16
16
0
0
8
0
16
8
8
8
8
8
8
0
0
16
17
0
8
8
0
16
16
16
16
16
0
0
0
8
4
4
0
0
8
0
8
8
8
8
8
16
16
8
2
8
16
0
24
0
0
0
0
8
8
8
8
0
0
0
0
0
8
8
0
0
0
8
8
0
8
0
8
8
0
0
8
0
0
0
0
0
0
0
0
16
16
16
1
40
40
40
0
0
0
0
16
16
10
4
4
1
0
12
10
0
0
1
42
8
0
8
0
0
0
8
8
8
8
0
0
16
8
8
8
8
4
4
8
8
8
8
2
0
8
8
8
8
8
16
24
4
2
8
8
8
8
16
0
0
0
0
0
8
0
0
8
2
2
2
2
0
0
25
25
25
32
32
0
32
32
32
8
0
0
0
0
0
0
0
0
24
24
16
0
0
4
16
16
8
16
1
0
4
4
4
4
1
24
24
0
16
8
24
0
24
0
0
0
8
8
8
8
8
0
0
8
8
8
16
4
18
18
2
8
8
0
0
0
0
0
0
0
0
24
0
0
8
8
0
0
0
4
12
12
0
0
0
0
0
8
0
0
0
0
0
0
16
16
26
26
2
2
0
8
8
8
8
8
12
12
8
24
0
4
4
4
8
0
8
32
0
16
16
16
16
1
3
1
2
0
16
16
24
0
0
0
4
4
16
8
0
0
16
1
9
0
0
2
1
0
8
0
16
16
16
0
0
0
16
0
1
1
0
4
1
1
1
0
2
8
32
16
0
2
8
0
0
8
1
8
8
8
8
4
4
0
8
8
0
0
9
1
9
1
24
8
8
1
16
0
2
2
16
16
16
16
0
0
8
8
8
8
0
1
16
0
8
25
25
0
0
13
16
12
12
12
0
0
16
16
16
16
16
4
8
2
8
0
8
8
8
13
1
1
0
0
0
0
0
0
0
8
8
0
1
0
0
0
0
0
0
16
16
8
57
0
0
0
8
8
2
8
0
5
1
16
16
16
16
16
0
0
0
4
4
0
16
16
16
16
16
0
16
16
0
32
16
8
0
0
0
8
8
8
0
0
8
0
16
0
8
16
16
0
0
24
42
42
42
42
8
8
16
0
0
1
1
1
8
0
0
0
16
8
0
9
8
0
8
8
16
8
8
8
8
12
0
0
8
8
2
2
0
0
0
0
9
2
10
0
8
0
8
4
2
2
8
16
16
16
16
16
4
16
16
0
0
10
10
10
10
8
8
4
8
16
16
16
16
0
0
5
5
5
1
16
0
4
16
0
0
0
0
0
8
24
0
0
0
0
0
0
0
0
0
0
0
8
8
8
16
16
0
16
16
16
0
8
4
4
16
4
8
8
8
8
4
1
0
0
16
12
4
16
0
0
0
1
1
4
4
16
16
16
16
1
8
0
4
4
4
4
1
1
1
12
8
8
0
0
0
0
0
0
12
0
8
8
8
0
0
8
8
0
8
8
2
2
8
8
8
8
20
20
0
0
0
8
8
4
1
4
8
4
10
8
8
8
8
8
4
37
16
0
0
0
8
0
8
8
8
8
8
16
4
4
4
8
24
8
8
8
16
20
20
8
8
0
8
4
4
4
0
0
0
0
0
0
56
0
8
8
8
0
8
10
8
8
8
0
16
16
0
0
8
4
8
16
24
16
8
8
8
8
8
8
1
16
6
16
8
8
0
0
0
2
0
1
8
16
16
4
4
16
16
0
9
9
1
1
0
0
0
8
12
0
0
0
0
0
26
26
8
8
8
8
8
8
0
16
0
0
8
16
16
16
16
16
0
0
0
6
6
6
6
8
0
0
16
16
8
0
8
8
0
8
8
8
0
0
4
0
8
8
0
0
1
1
8
8
8
0
16
0
8
16
16
16
16
0
0
0
0
0
1
1
1
1
24
24
24
0
0
4
4
0
0
0
12
1
1
1
1
1
16
8
2
16
16
16
16
2
2
2
19
16
16
0
8
1
0
0
0
0
0
8
8
16
1
1
16
0
12
8
8
1
40
40
1
2
2
0
0
0
16
16
17
16
4
4
4
16
18
18
16
16
4
1
8
8
4
4
0
8
16
8
6
0
0
0
0
18
16
16
8
0
0
0
8
4
4
8
8
4
12
12
12
14
8
8
2
0
4
1
16
0
16
0
8
1
1
1
2
2
4
16
16
16
16
0
0
4
8
1
1
1
16
16
8
2
2
2
2
0
0
0
4
16
0
8
8
0
0
18
2
0
16
8
8
0
0
8
8
1
1
1
8
8
0
0
0
2
2
0
0
4
8
2
2
2
2
0
8
8
24
16
8
8
0
0
8
8
8
8
8
16
16
16
16
16
0
0
0
8
8
8
8
16
8
0
8
0
16
16
8
8
16
8
8
8
8
8
0
1
1
1
8
8
2
0
0
0
0
8
8
0
40
40
40
8
8
0
0
0
0
0
2
4
16
8
8
48
8
1
0
0
0
0
12
24
8
16
0
0
0
8
16
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
8
8
8
5
5
5
8
4
0
0
0
0
0
1
4
4
4
4
0
8
0
0
4
4
10
0
4
8
0
59
1
5
4
8
8
8
24
16
0
0
16
16
8
8
0
8
8
4
16
16
0
5
0
0
0
0
0
0
0
16
4
4
4
4
8
0
0
0
8
8
8
0
0
0
16
16
16
8
0
0
0
8
0
24
8
0
0
19
19
19
19
16
4
0
0
16
16
16
0
0
0
8
8
16
16
16
16
8
4
4
16
16
0
0
0
0
8
0
0
8
0
4
4
4
4
0
16
16
24
0
8
1
1
0
4
8
20
20
20
0
16
16
0
0
0
8
16
0
8
8
8
8
8
8
16
8
8
8
8
24
24
16
16
16
0
0
0
0
8
0
0
0
0
0
4
8
8
8
0
1
10
10
0
0
0
2
25
8
0
8
0
0
0
0
16
16
16
16
16
16
0
24
8
4
4
8
0
0
0
0
0
0
12
16
16
0
0
0
16
0
0
2
8
8
8
0
8
18
18
0
8
16
16
16
0
0
0
17
17
16
2
0
16
16
4
4
20
16
8
2
16
0
0
8
8
8
0
0
0
0
0
0
16
16
0
0
8
8
16
24
24
24
16
0
0
0
0
0
0
4
0
0
0
0
15
0
0
0
0
0
0
8
8
0
0
56
4
20
20
20
20
20
0
0
0
0
0
4
4
48
32
8
4
16
8
16
16
0
0
24
8
0
0
0
0
0
24
24
0
16
16
20
8
0
0
24
8
8
0
0
0
16
0
0
2
2
2
2
8
8
9
0
8
8
8
8
4
60
8
0
8
8
8
8
8
16
16
1
1
0
0
1
1
0
8
16
8
8
8
4
8
8
8
8
8
8
0
32
32
8
0
0
0
0
0
17
17
17
16
0
8
8
16
16
16
12
8
8
16
8
0
0
0
8
0
16
0
16
8
16
20
8
0
0
0
0
8
8
1
13
0
0
0
0
8
16
32
32
0
0
8
8
8
0
0
2
0
8
8
8
1
0
0
0
0
0
16
0
8
8
8
8
48
32
0
8
8
2
0
8
18
18
0
16
30
0
0
0
0
0
8
8
1
1
1
1
1
0
4
4
8
8
16
0
4
4
0
0
0
0
0
0
0
16
16
16
4
0
0
0
8
8
8
8
0
0
0
8
8
8
8
8
16
16
8
8
8
0
0
0
0
0
0
1
2
2
4
4
4
4
16
2
2
2
8
8
20
0
0
0
0
0
8
8
3
2
8
1
0
0
16
5
5
32
8
16
8
8
0
8
8
8
8
0
16
16
0
24
24
24
8
1
1
2
18
16
0
8
16
16
0
0
0
28
2
8
8
8
8
8
8
0
9
18
18
18
18
8
8
1
1
1
1
0
0
8
8
4
2
8
16
0
4
0
0
0
8
8
8
8
19
8
4
4
4
4
8
16
16
8
8
0
0
10
2
8
10
8
8
8
8
24
8
8
0
4
16
4
4
4
0
16
16
2
2
2
16
16
16
32
0
8
8
4
4
4
4
16
16
0
0
0
4
16
0
0
0
2
2
8
0
16
8
0
1
0
4
4
16
16
0
12
12
8
20
20
32
8
0
24
0
8
8
18
18
18
0
0
0
0
4
4
4
8
8
24
8
8
8
8
8
4
12
16
8
8
8
8
8
8
8
8
2
0
12
4
8
8
8
0
4
16
16
4
4
4
8
0
0
9
9
8
0
0
18
1
1
0
0
0
1
53
1
1
4
16
16
16
0
2
2
0
0
0
0
0
16
8
8
8
4
16
16
0
0
8
8
8
2
0
0
16
16
8
0
0
0
34
0
1
8
8
0
0
40
16
16
8
8
8
8
8
0
8
0
0
0
0
0
0
1
4
16
16
0
0
12
8
8
8
8
8
16
1
4
0
0
16
8
30
8
0
8
0
2
16
16
16
16
0
16
16
16
0
0
8
8
8
18
0
16
16
8
8
0
0
0
0
1
8
6
8
8
8
0
0
0
16
16
0
8
8
8
8
8
1
1
1
0
4
4
8
8
8
8
0
12
12
0
8
8
16
48
0
0
0
0
0
0
0
0
0
0
0
0
8
8
1
1
0
24
8
8
16
0
2
0
0
8
0
16
16
0
4
2
0
0
8
8
16
0
0
0
0
8
0
0
16
0
0
0
0
0
0
0
0
0
0
28
8
0
0
16
0
0
0
0
0
8
0
0
0
20
16
16
16
0
0
9
9
0
8
8
8
8
8
8
8
0
0
0
0
0
40
0
0
8
8
8
0
0
0
8
8
32
32
10
10
10
16
16
36
1
26
54
1
0
8
1
1
9
9
32
8
16
16
2
0
0
0
32
0
25
25
8
8
8
1
1
1
1
0
0
1
0
8
2
2
2
2
2
9
0
1
0
0
1
1
12
8
0
0
0
0
0
0
16
0
1
8
0
0
0
2
2
16
16
16
16
8
8
8
16
24
6
0
24
0
0
8
8
0
16
0
16
8
8
8
8
16
16
2
2
8
8
8
8
0
0
0
8
16
0
8
8
8
8
32
16
0
0
1
16
1
1
8
16
8
8
4
20
0
8
0
8
8
0
0
0
0
8
2
0
0
0
0
8
8
8
8
2
2
1
8
8
32
0
0
8
8
8
0
0
0
8
8
8
8
0
8
0
0
8
8
8
0
0
1
1
0
18
18
16
16
4
8
20
4
8
8
0
0
0
8
0
18
18
0
0
4
4
4
0
0
16
12
0
8
8
8
8
8
8
8
0
4
4
0
0
0
0
1
28
24
0
0
0
16
0
0
16
0
16
0
0
0
8
8
8
0
52
1
0
8
8
8
8
0
8
8
0
0
1
4
4
8
8
8
8
2
1
16
16
16
8
8
8
0
8
8
8
8
8
8
8
0
0
0
0
0
0
0
8
8
8
8
0
0
16
8
0
8
4
4
4
0
0
8
8
0
0
16
0
0
0
8
4
0
0
2
2
4
0
8
0
8
8
2
0
0
0
8
8
8
0
8
8
8
24
24
8
8
8
4
8
8
8
4
4
8
8
0
4
0
0
1
8
8
1
1
1
0
2
8
8
8
0
4
8
8
8
1
0
0
2
16
8
8
0
24
8
8
2
0
0
0
8
8
0
0
8
8
8
2
2
2
1
4
0
0
0
2
2
0
8
8
1
0
0
0
0
1
3
1
2
3
3
3
0
16
0
0
8
1
8
8
8
8
8
0
0
0
0
0
0
8
8
8
1
0
0
16
0
0
16
0
0
8
8
0
8
8
8
8
8
8
0
8
16
4
0
0
16
16
8
8
0
2
1
1
0
8
0
0
25
1
8
8
16
0
0
0
0
0
0
8
8
0
0
8
41
16
0
0
16
1
16
2
8
8
8
16
16
16
0
0
0
0
8
8
24
2
2
2
16
0
1
0
36
4
17
10
8
8
8
0
24
8
0
18
20
8
8
8
5
10
10
10
10
10
16
16
16
16
8
8
8
8
1
1
1
0
32
8
8
24
24
16
8
16
16
8
16
24
7
7
4
0
8
16
16
4
4
4
32
1
33
16
16
8
8
2
0
4
4
4
5
0
0
4
8
8
8
8
0
0
0
0
0
8
0
0
0
0
8
8
0
4
4
4
1
16
16
8
0
5
2
16
0
8
8
32
8
0
0
0
8
8
4
4
28
4
8
8
8
8
8
8
0
0
8
8
0
0
6
6
6
0
0
8
8
8
4
12
1
9
1
2
2
16
16
16
2
8
8
8
8
8
0
0
4
4
4
8
8
8
0
6
4
0
0
16
4
0
0
0
8
8
8
0
8
3
0
8
8
0
16
16
16
16
16
0
24
24
24
8
8
8
16
61
8
0
0
8
8
0
0
0
16
4
24
24
24
0
0
2
0
0
4
16
0
0
4
0
1
1
4
4
8
2
2
0
0
0
21
0
0
0
0
0
8
8
8
8
8
8
1
1
0
0
16
0
0
0
0
0
8
8
8
8
0
0
0
2
0
0
22
16
16
4
1
2
20
20
8
0
0
8
8
4
4
8
8
8
8
13
13
8
8
5
0
0
32
32
0
0
8
8
8
1
0
8
1
4
12
16
17
9
1
2
0
0
24
56
56
28
8
0
8
8
0
8
16
2
2
8
8
0
0
0
8
8
8
8
10
14
0
0
16
0
16
8
8
8
8
4
4
4
4
4
0
0
0
1
16
16
8
8
4
16
16
16
8
8
8
0
1
1
0
0
0
8
8
16
8
0
16
16
16
16
4
8
8
8
8
8
4
4
4
4
4
8
8
2
2
2
0
7
0
8
8
8
8
16
0
0
0
0
0
4
4
0
8
8
0
16
0
0
0
0
4
16
16
16
0
8
8
8
8
17
1
1
0
0
0
8
8
1
0
4
8
0
0
0
0
0
17
1
8
8
8
8
8
8
0
0
0
4
16
16
0
8
33
0
1
1
20
4
4
8
0
0
0
8
20
20
8
0
16
14
24
24
8
1
0
8
11
11
0
8
8
16
16
16
8
8
48
16
16
16
48
16
16
13
13
8
8
8
0
0
4
0
0
1
1
1
4
4
0
0
6
16
16
16
16
16
8
8
0
0
2
8
8
8
2
4
0
2
0
0
40
41
40
0
0
0
0
8
8
8
8
0
0
0
16
16
8
0
0
21
21
5
0
0
4
56
16
8
0
16
0
0
8
8
8
8
4
4
4
28
0
0
0
8
8
8
2
0
9
9
9
0
50
50
50
0
32
16
4
21
21
8
2
1
1
0
16
0
0
0
0
0
0
24
24
24
24
8
2
2
8
8
8
8
8
0
2
16
4
4
8
8
9
9
8
0
8
0
17
8
2
4
4
4
16
16
4
4
8
8
4
16
16
1
0
0
0
0
0
0
0
0
8
8
0
16
16
4
4
8
8
8
8
8
1
1
1
1
1
1
20
20
20
16
8
24
24
4
0
0
4
4
4
4
4
0
0
0
0
16
0
4
1
1
1
1
0
0
0
16
8
16
16
16
8
8
0
0
17
53
53
0
2
2
8
8
8
8
8
8
8
0
28
16
16
16
16
4
4
8
8
8
8
8
8
8
20
20
24
18
18
0
16
20
20
8
8
8
16
4
16
8
0
0
0
0
0
16
0
0
16
16
16
16
16
0
24
8
8
8
8
8
8
8
0
0
0
0
0
12
8
8
8
8
8
8
0
8
8
0
0
8
2
2
2
2
2
8
8
8
8
8
8
9
1
1
0
1
0
0
0
0
28
28
8
16
16
16
16
16
16
16
16
16
16
8
8
12
0
4
4
4
4
4
4
0
0
4
4
8
0
16
0
0
6
0
0
0
0
8
40
8
2
2
16
2
2
1
0
4
16
16
8
8
0
16
0
2
2
2
2
16
0
1
1
1
1
1
16
32
32
32
8
32
8
0
0
0
0
0
8
8
8
8
16
8
8
18
18
18
1
1
1
16
8
8
12
12
12
16
16
16
8
2
2
8
0
0
25
16
16
16
4
4
12
16
16
0
0
16
16
1
8
8
8
8
1
1
1
4
4
24
24
24
24
24
0
8
0
0
1
1
16
16
16
8
8
0
16
16
8
8
4
0
0
0
0
16
16
16
0
0
9
48
16
8
8
8
24
8
18
4
4
0
44
44
0
0
8
0
16
0
34
16
16
0
0
0
0
0
0
17
17
32
40
32
32
32
16
0
0
2
2
2
2
2
4
4
12
4
4
4
8
16
16
16
8
32
32
32
32
4
4
16
1
1
1
0
0
0
0
0
0
0
0
0
8
8
8
8
0
0
0
2
2
0
8
8
8
8
2
2
2
16
16
16
8
8
8
8
8
8
8
0
0
16
16
16
16
8
8
16
16
16
5
5
5
5
5
24
24
18
16
16
8
8
32
1
1
1
1
1
1
1
16
16
0
16
16
16
16
16
0
0
0
0
0
0
0
16
0
0
0
0
0
8
8
8
1
1
8
8
8
0
8
0
0
9
9
8
16
16
16
0
8
8
16
16
16
16
16
1
1
1
1
1
16
16
16
1
1
1
44
44
44
8
44
26
26
1
1
1
1
8
16
16
16
0
0
0
0
0
0
0
0
0
0
8
1
4
4
3
6
6
6
8
16
8
4
0
0
0
8
8
8
8
8
8
8
0
8
8
8
8
32
32
6
4
16
16
17
2
2
1
9
8
8
0
24
25
32
32
16
32
32
32
0
1
1
1
0
0
0
0
0
24
24
0
0
0
0
1
0
16
16
16
16
16
16
48
48
48
4
8
16
16
0
0
6
16
16
16
16
16
4
4
16
16
8
8
8
8
0
16
16
0
0
8
0
0
0
0
0
6
6
8
9
4
8
8
0
8
8
8
8
8
8
8
16
16
16
16
16
16
16
16
16
16
24
8
8
8
0
0
0
0
16
0
8
1
1
1
1
8
0
0
8
16
16
8
8
16
16
17
17
17
17
17
8
0
0
16
16
0
0
16
0
40
4
4
10
10
10
10
16
16
16
16
59
24
24
16
16
5
5
5
8
34
34
34
0
0
0
0
32
0
8
0
16
1
2
8
24
24
4
0
0
4
4
4
4
0
1
1
0
0
0
0
0
1
16
16
16
1
1
0
16
16
16
16
0
0
8
8
4
4
4
8
8
0
8
8
2
16
16
16
0
2
22
16
16
16
16
8
8
2
0
16
0
0
0
16
20
1
1
1
0
0
8
8
48
8
0
16
16
0
0
4
4
4
8
8
8
8
8
8
8
32
32
32
32
8
8
8
8
8
8
0
0
16
16
4
0
16
4
4
4
8
8
8
8
8
8
16
16
16
16
2
2
2
0
4
0
8
8
8
8
0
0
0
0
0
0
0
16
17
17
1
24
4
25
25
0
8
0
42
1
16
16
16
16
20
4
4
4
4
4
4
4
4
1
1
24
24
24
24
24
20
4
4
0
0
8
8
0
0
0
16
10
10
10
0
0
0
0
1
1
1
1
4
4
4
8
16
8
0
0
0
8
8
8
8
16
8
8
8
8
8
8
8
8
8
8
24
8
0
0
22
18
16
16
16
0
16
24
16
16
0
4
4
4
4
20
20
20
16
0
0
0
4
16
24
8
8
8
9
9
16
16
0
0
0
0
4
9
1
1
1
16
16
3
3
16
1
1
1
8
0
1
1
9
9
1
0
2
2
2
2
32
32
16
16
16
0
0
0
24
2
8
8
8
9
0
0
5
5
10
16
4
0
0
0
0
8
8
0
0
0
0
2
2
1
1
8
8
8
8
8
8
8
0
0
4
4
4
0
0
0
2
4
2
1
8
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
4
16
16
0
8
8
0
4
4
4
8
1
0
8
8
0
2
2
24
24
24
0
0
1
1
0
8
0
0
0
0
1
1
8
0
8
8
8
8
0
0
0
0
0
8
8
8
8
32
32
32
12
0
0
0
8
4
4
4
4
4
4
0
0
16
16
8
8
8
16
16
16
0
0
0
0
0
24
2
2
8
8
8
8
8
8
8
4
2
2
2
0
9
9
0
0
18
2
0
0
1
1
1
4
8
4
4
4
0
0
24
8
16
16
16
4
4
4
0
0
16
16
16
16
16
32
32
16
16
0
17
16
16
8
0
0
0
0
6
6
2
4
24
24
8
16
8
16
0
1
4
4
4
4
4
8
8
1
8
8
2
8
8
8
8
8
8
16
16
16
16
16
16
16
16
8
16
16
26
26
26
26
0
0
8
0
0
16
16
0
16
24
16
16
16
16
16
8
0
8
24
16
16
0
0
0
8
16
0
10
20
20
20
4
4
8
16
2
0
1
1
1
1
0
0
9
40
0
0
0
17
8
8
8
16
8
8
8
0
0
16
16
29
0
8
8
4
8
1
16
4
16
1
0
40
40
8
4
8
8
8
24
16
0
17
1
9
8
9
8
8
8
8
8
8
8
8
8
16
16
16
16
16
16
4
4
4
0
0
0
0
0
0
16
16
16
16
8
8
4
4
4
4
4
4
8
8
8
24
0
0
0
0
0
0
0
16
4
4
4
4
0
0
4
4
0
16
4
4
4
4
4
4
4
17
8
8
8
0
0
0
14
0
1
1
1
1
8
8
8
8
8
8
4
4
4
4
28
8
8
8
4
4
37
37
37
37
8
8
8
2
2
8
12
8
8
8
0
16
16
16
8
1
1
2
7
7
5
8
8
8
0
0
4
4
4
4
8
0
0
8
8
0
8
8
8
8
8
0
4
4
4
1
0
0
12
2
2
16
24
16
16
18
16
16
16
16
16
0
4
0
16
16
0
8
16
16
8
4
4
8
1
8
8
0
8
16
16
16
0
8
8
16
0
0
0
0
9
1
0
48
0
0
0
4
4
4
4
0
24
0
0
32
8
12
12
0
1
1
8
8
0
0
1
1
8
1
1
1
1
8
8
8
8
0
0
4
4
28
2
11
2
0
16
16
16
0
0
0
24
0
2
2
0
8
16
4
8
8
8
8
8
16
16
24
4
4
4
4
0
0
8
8
17
24
24
24
16
16
16
0
0
0
0
0
0
16
8
8
40
8
8
8
8
10
4
1
16
16
16
4
4
4
16
8
16
16
16
16
8
2
8
8
8
0
0
0
16
16
16
16
8
8
8
4
12
2
2
2
0
0
0
0
20
20
20
16
16
16
8
0
8
8
8
24
0
16
16
16
8
8
4
4
4
16
16
0
8
8
0
8
8
8
8
16
8
8
0
0
0
0
8
1
8
8
8
8
8
32
0
0
0
0
0
8
16
17
7
8
8
8
8
8
0
0
0
8
8
1
8
1
1
2
2
2
2
2
2
2
2
0
16
8
0
16
16
16
0
0
16
16
16
16
16
16
16
8
24
0
0
0
9
9
0
0
16
16
16
16
0
8
8
18
16
12
0
8
0
25
8
8
8
21
16
16
16
8
8
0
8
4
16
0
0
0
0
0
24
24
16
8
17
17
16
16
4
8
8
8
8
8
8
0
21
9
8
0
4
8
8
8
3
8
1
1
0
16
16
16
1
1
1
8
8
0
0
8
32
32
8
8
16
24
24
24
0
4
16
16
16
8
4
4
16
0
0
0
0
8
20
16
16
0
0
0
8
8
8
1
1
1
1
1
1
8
8
8
8
0
0
0
8
16
20
16
16
16
0
10
1
1
16
0
0
12
12
16
16
4
4
4
4
0
24
24
0
0
8
8
8
8
8
16
16
32
0
0
8
8
20
16
17
8
8
8
8
40
8
8
8
8
0
0
8
8
8
4
16
4
0
0
0
0
1
16
1
1
0
4
4
0
0
0
8
8
5
5
5
5
9
8
8
8
8
8
8
8
8
8
8
0
16
0
8
8
16
16
2
2
24
16
0
0
16
18
18
1
1
1
16
4
4
9
1
1
1
1
8
8
0
8
8
0
0
8
8
8
8
8
8
17
1
16
16
16
8
8
16
16
8
8
8
8
8
0
0
8
8
2
2
10
8
8
8
16
16
16
16
16
8
8
8
2
16
16
0
1
1
1
1
1
1
1
16
2
2
8
0
4
0
0
1
1
1
1
1
0
21
21
8
8
8
8
8
8
8
8
8
0
24
8
1
1
1
1
16
17
16
16
16
16
16
16
12
32
0
0
0
8
8
8
8
0
8
8
8
8
8
8
8
8
8
8
16
20
20
16
8
8
8
2
18
2
16
16
1
17
0
16
16
16
0
8
0
0
8
16
8
8
8
4
0
9
4
0
0
16
16
16
16
16
16
16
16
0
0
0
0
0
8
8
8
8
0
0
0
0
8
0
8
8
8
8
8
8
8
1
1
1
1
0
16
16
16
16
16
16
8
0
16
4
4
8
0
2
16
16
16
16
16
8
2
2
8
8
8
0
16
16
16
16
16
0
24
4
8
4
4
4
4
4
4
1
1
1
16
32
0
0
0
4
4
4
4
4
22
22
22
8
0
8
8
8
8
8
8
4
4
18
18
8
0
16
4
4
32
8
8
5
5
5
32
32
32
8
8
24
16
16
8
16
8
8
8
8
2
2
2
2
2
32
0
0
16
16
16
8
8
8
8
24
8
8
8
8
8
8
0
4
4
4
4
0
0
8
8
8
8
8
8
8
8
8
8
8
11
0
8
40
40
40
40
8
8
8
8
8
8
8
8
8
8
20
20
8
16
8
16
16
16
1
0
16
1
1
16
16
16
16
6
20
0
0
0
8
8
8
8
8
8
0
8
16
8
8
0
0
4
0
0
0
32
32
16
0
16
20
20
20
20
16
57
57
16
18
16
16
16
16
8
8
40
32
4
4
4
8
8
8
0
2
16
28
4
4
4
8
24
0
8
8
8
0
0
0
20
20
0
0
8
0
0
24
4
0
0
16
16
0
8
8
0
11
16
8
8
16
16
16
18
16
0
8
8
8
8
0
0
0
8
8
4
4
17
2
2
2
2
2
16
16
16
4
0
0
0
8
8
8
8
8
8
8
0
0
16
24
16
16
8
8
16
16
16
0
0
0
8
16
16
0
0
0
0
0
0
0
16
16
0
16
16
16
16
0
0
0
0
2
12
4
8
8
8
8
16
16
16
16
12
16
8
8
6
8
8
8
0
0
0
0
0
1
32
41
33
2
16
2
8
8
8
2
16
16
16
16
4
4
4
4
8
0
0
2
2
16
8
8
8
18
18
18
18
16
2
2
2
2
2
2
2
2
2
0
4
4
16
16
8
8
8
2
2
0
0
49
49
0
0
0
0
0
0
32
8
8
8
8
0
2
8
8
0
0
56
8
0
16
4
4
0
16
16
16
16
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
16
4
4
0
0
16
0
0
39
39
39
0
24
1
1
1
1
1
8
1
1
8
24
24
24
32
32
32
32
32
8
8
8
8
8
8
8
0
4
0
3
0
8
16
16
16
16
16
16
8
8
8
8
8
1
1
32
48
8
16
16
0
0
0
1
1
1
1
1
1
8
16
20
20
16
8
8
8
8
8
8
16
2
2
16
16
16
33
33
33
0
18
8
8
8
8
8
8
8
8
32
32
4
44
1
1
24
24
24
24
24
12
1
1
8
8
2
2
2
8
4
4
16
25
0
0
16
16
8
1
0
0
0
4
16
16
16
41
16
0
0
8
8
0
8
24
8
8
25
0
4
8
8
8
8
24
1
1
1
1
16
8
1
17
2
32
32
8
8
8
9
1
2
2
2
2
10
16
2
4
8
24
8
0
8
0
0
0
4
0
16
4
0
0
8
0
0
0
8
8
4
4
8
16
33
33
33
1
1
1
1
32
32
8
8
8
0
2
2
2
2
8
16
2
2
8
8
0
0
0
0
3
3
4
4
8
8
8
0
16
16
16
0
0
0
8
8
24
8
8
8
8
8
8
0
8
0
0
0
0
16
16
16
8
8
0
0
16
16
16
1
1
1
1
1
1
1
4
0
8
8
8
8
8
8
8
16
36
16
16
16
16
0
16
16
16
16
0
0
0
9
9
0
16
16
32
32
32
32
32
56
56
56
56
8
8
8
8
8
8
8
8
0
2
16
52
52
16
8
2
2
0
32
32
0
2
16
8
8
16
0
24
1
1
1
1
1
1
8
0
1
17
16
0
0
2
2
8
16
16
16
1
1
1
0
0
32
32
8
8
8
8
24
16
0
29
4
8
0
8
40
8
16
17
8
8
8
0
8
16
16
0
8
1
1
0
16
16
16
8
8
1
0
0
0
0
0
16
16
16
16
16
16
0
56
0
0
0
32
32
32
2
2
2
8
0
0
0
8
16
8
17
4
4
8
8
8
0
0
0
0
1
8
8
25
0
0
0
0
16
0
24
8
8
0
0
8
16
0
0
0
0
8
8
8
8
16
8
8
2
2
2
2
8
8
8
1
0
0
0
0
0
0
0
8
8
16
16
16
10
4
16
0
0
0
4
4
0
16
16
16
16
16
6
6
8
8
8
16
16
16
16
16
16
32
32
32
8
58
8
8
8
16
0
12
9
9
4
4
8
1
1
16
0
0
0
0
8
8
8
8
2
17
17
1
2
2
2
4
0
0
0
8
8
8
8
8
0
8
8
8
8
8
8
30
0
1
1
1
16
8
24
0
2
16
16
16
8
8
16
16
16
18
2
0
8
8
8
8
8
8
8
8
8
32
32
32
16
12
0
8
8
8
8
8
20
20
20
4
4
28
28
4
4
17
17
16
16
16
16
10
8
2
8
8
2
2
2
2
2
16
16
16
16
16
16
8
8
8
8
8
1
1
1
2
0
0
0
0
2
2
4
8
8
8
0
0
0
0
0
1
39
8
28
16
16
9
25
25
16
16
16
8
8
0
0
16
16
16
16
16
8
8
8
8
16
16
10
8
8
2
0
16
16
4
4
32
8
8
24
0
24
16
16
16
0
8
0
8
8
8
8
8
8
8
0
24
3
0
0
16
16
16
8
0
0
0
16
16
16
16
16
16
16
16
16
8
8
0
0
0
0
0
16
16
16
16
0
2
32
8
8
0
0
0
8
24
8
0
17
17
8
8
8
34
0
16
16
8
16
16
8
2
2
0
0
2
4
16
4
10
1
8
9
9
16
1
0
0
8
8
8
8
8
8
8
20
8
8
8
0
8
16
16
8
8
40
16
8
8
17
17
1
8
8
0
16
16
16
16
8
8
8
8
8
4
4
32
0
0
0
16
4
4
16
8
8
8
8
8
0
1
16
16
2
8
16
8
8
8
8
8
8
8
8
8
8
8
8
8
8
22
1
1
1
8
8
0
8
24
8
16
16
16
16
24
16
0
1
1
1
1
1
8
8
8
25
24
24
8
8
0
1
3
16
16
16
8
1
1
1
24
8
20
2
20
8
0
0
1
1
32
0
0
8
0
0
0
0
0
0
0
0
0
8
8
8
8
8
16
16
16
16
16
16
24
0
0
0
0
2
30
2
2
0
22
22
22
16
16
16
16
16
2
2
0
0
0
8
8
8
24
24
16
16
16
12
8
1
1
0
4
4
4
28
28
8
16
16
32
32
32
32
8
8
8
1
16
16
16
16
16
12
8
8
8
8
0
0
1
8
8
8
8
0
16
16
0
8
1
1
1
0
0
0
0
4
8
8
8
12
4
8
2
2
2
2
2
2
8
8
8
8
8
8
16
16
16
0
0
0
0
1
1
2
0
0
2
8
17
0
4
4
4
4
4
4
4
4
16
16
16
16
4
24
0
24
0
0
0
0
8
8
8
8
8
8
8
16
16
24
8
8
8
8
4
4
4
4
4
16
8
0
16
16
16
0
0
0
0
8
0
17
16
4
4
4
1
1
1
16
16
0
16
1
17
17
17
8
8
8
8
8
12
0
8
1
9
9
2
2
2
16
16
16
24
24
0
18
0
8
8
8
1
17
17
4
8
8
8
1
1
4
4
4
16
20
16
16
16
1
2
2
0
8
8
8
8
8
16
16
1
1
4
16
16
16
16
16
24
3
17
16
16
0
0
0
8
8
8
8
8
8
8
2
1
21
1
5
16
33
33
33
33
0
4
4
4
4
8
16
0
0
0
4
8
8
8
16
16
16
32
32
32
32
32
32
16
1
1
1
16
8
4
4
8
0
0
1
8
16
8
24
6
6
16
16
6
16
6
16
8
8
8
4
8
4
4
0
8
8
8
8
16
0
2
8
8
8
16
2
0
0
1
9
0
0
1
13
1
0
16
16
16
16
16
12
16
8
4
4
4
1
1
2
8
0
0
0
0
0
1
1
8
8
8
0
0
0
8
8
8
8
8
8
8
0
0
16
16
0
0
0
4
8
8
8
8
8
8
8
8
4
4
4
8
33
12
8
8
8
8
16
16
16
16
2
10
24
16
8
8
8
0
16
16
0
0
16
28
8
8
8
8
8
8
8
0
0
0
10
0
0
8
0
16
16
1
8
0
12
2
2
2
1
16
0
0
0
0
0
8
0
8
8
8
8
8
0
0
0
8
0
16
16
16
0
0
0
10
8
16
8
9
8
8
8
6
2
0
8
8
8
8
0
2
2
0
0
4
4
8
17
16
16
16
9
8
8
1
8
8
40
32
40
0
0
0
32
8
8
35
3
16
16
16
16
16
16
16
16
16
16
0
8
32
32
32
32
25
16
16
16
16
24
16
16
16
0
48
54
0
8
8
8
8
0
0
2
2
0
8
8
24
16
0
2
1
1
1
0
0
0
16
16
4
4
8
32
32
32
8
8
16
8
8
8
0
8
8
10
10
12
12
8
33
33
33
16
16
33
1
33
8
8
0
0
0
8
8
8
8
24
8
8
8
52
52
52
8
8
8
0
24
24
24
24
24
24
24
16
2
0
0
0
0
16
16
16
16
16
16
1
4
4
4
2
2
16
16
25
8
1
1
1
1
8
8
2
0
8
8
8
0
8
0
0
0
4
4
4
16
16
16
8
16
0
8
4
16
16
16
2
2
32
32
16
16
16
16
4
4
4
8
0
24
24
1
16
4
4
32
32
32
32
8
8
8
0
16
2
8
8
0
0
1
0
0
0
0
0
0
0
0
16
1
1
0
0
16
16
32
49
32
32
8
8
8
8
9
8
8
1
8
1
16
8
0
0
0
0
0
1
32
10
16
16
3
8
8
32
8
0
0
16
16
0
16
1
1
8
8
4
0
0
0
1
16
4
2
0
16
1
1
1
1
8
1
1
1
1
8
1
1
1
4
16
16
8
16
0
0
0
1
1
8
1
1
1
1
8
8
1
8
9
0
10
10
0
4
0
32
32
32
32
32
32
0
0
0
2
2
16
16
8
0
0
0
0
4
4
16
16
16
22
4
13
24
24
24
24
8
8
8
8
8
8
8
8
0
0
0
0
4
0
8
8
8
4
4
8
8
8
0
2
16
16
8
1
1
0
24
8
8
16
16
16
16
32
32
8
2
2
2
1
1
8
8
8
4
4
16
16
2
2
2
2
2
2
2
5
5
4
4
4
20
4
48
8
8
8
4
4
16
5
4
5
4
4
8
24
16
48
16
16
0
0
0
0
0
0
0
32
0
0
16
2
2
16
16
16
24
8
8
8
8
6
6
8
8
0
8
8
8
8
8
0
0
0
0
16
2
2
2
16
0
4
0
16
8
8
4
16
4
4
4
20
20
17
8
16
0
0
0
0
0
0
32
32
8
8
8
0
0
0
0
0
0
8
0
0
2
2
2
2
2
1
1
16
16
48
48
48
32
32
32
32
0
0
8
8
8
2
8
10
12
12
12
1
1
1
0
16
16
16
8
8
8
12
0
0
0
8
8
8
8
8
0
16
16
16
16
1
8
40
8
1
8
8
4
4
0
0
8
8
8
8
0
8
8
4
8
8
32
32
32
8
8
8
8
0
0
0
16
16
8
16
16
16
16
16
8
8
8
8
2
0
0
18
8
32
0
0
16
4
0
0
16
0
0
0
32
16
16
16
8
20
4
0
0
8
8
0
0
16
16
16
16
16
16
0
0
2
8
8
8
8
16
16
16
0
2
2
2
32
32
8
8
34
34
8
16
16
0
0
0
1
1
4
4
0
24
32
8
8
4
4
8
0
0
4
4
4
4
16
16
0
2
0
0
16
16
16
0
2
16
4
2
2
2
8
8
16
16
0
1
1
1
1
4
8
8
8
8
8
8
8
8
8
16
16
16
16
16
8
8
0
0
8
8
8
4
4
8
8
0
0
0
4
4
4
4
8
0
0
0
0
0
16
16
8
8
16
16
8
8
0
0
24
2
0
16
16
16
16
16
16
8
16
0
0
0
0
4
4
4
4
4
4
0
0
0
0
0
0
0
1
0
8
1
16
16
16
16
12
16
16
16
2
16
0
0
8
0
8
8
0
0
40
16
20
32
0
0
0
8
4
4
2
16
16
16
8
32
32
0
2
40
32
16
16
16
8
16
16
16
16
8
8
8
8
8
8
24
0
0
9
0
0
0
24
24
24
16
16
16
16
16
16
16
0
0
2
16
16
16
16
0
0
8
0
1
1
0
0
0
8
8
8
8
8
8
8
8
8
16
16
16
16
16
16
8
9
9
8
8
8
8
48
21
5
5
5
1
1
1
1
8
2
2
16
16
16
16
8
8
8
8
8
0
21
4
4
0
8
8
16
0
0
16
16
16
16
16
16
16
16
16
1
1
24
16
16
16
8
32
32
1
1
1
16
16
16
8
44
0
4
4
4
4
2
0
8
8
8
4
4
4
8
8
1
0
0
1
1
0
24
24
0
4
16
16
8
8
8
16
16
16
0
0
8
0
0
0
0
16
16
8
8
8
16
16
16
16
16
0
16
16
5
1
8
24
8
8
0
0
8
8
8
8
8
1
1
1
1
0
4
16
16
0
0
0
0
0
16
18
0
8
0
16
18
18
1
1
1
1
8
8
8
8
8
16
16
16
8
8
0
0
19
1
2
16
19
2
1
1
1
16
4
16
16
16
16
4
4
0
16
4
0
2
5
5
5
32
16
8
0
1
16
16
16
4
24
0
0
0
16
24
16
0
4
4
0
0
8
8
8
8
6
8
0
0
0
0
0
0
32
32
32
32
32
32
32
0
0
8
8
8
8
8
8
2
32
56
32
4
0
8
8
24
24
24
8
8
8
8
8
8
4
4
4
20
20
1
1
1
16
0
4
4
0
0
3
0
20
20
0
5
2
0
34
0
8
1
2
4
4
0
16
16
0
12
4
4
4
40
40
40
40
40
40
0
0
0
0
0
0
16
16
0
0
8
8
8
8
16
16
16
16
8
16
16
16
8
0
0
0
4
8
0
24
24
24
8
8
16
16
16
19
16
16
16
16
16
16
16
16
0
0
0
0
0
8
16
0
0
0
8
8
4
4
0
0
0
0
1
1
1
1
0
0
16
16
16
16
16
16
8
8
8
0
0
0
0
0
0
0
0
8
8
8
25
25
25
0
0
16
16
16
16
16
16
16
16
16
16
4
4
4
4
18
8
8
0
0
0
49
49
49
49
16
8
16
16
20
8
8
4
4
4
4
4
4
4
1
2
0
26
26
26
26
26
1
1
16
16
16
16
2
2
2
2
8
8
16
16
16
0
16
8
8
8
8
2
16
16
0
0
0
32
8
4
4
0
8
0
1
8
8
4
0
0
2
0
1
1
0
16
0
1
2
2
16
16
16
16
0
8
8
8
24
24
0
0
1
24
4
4
4
0
32
4
8
24
0
0
0
4
8
8
8
8
8
8
8
51
1
32
32
32
32
0
0
0
4
4
4
0
0
0
0
2
2
8
24
24
16
16
16
16
16
16
0
0
0
0
0
24
0
8
24
24
8
8
8
1
16
0
8
8
1
8
0
32
32
32
8
8
8
8
8
8
8
2
16
8
8
8
8
1
1
1
1
16
16
0
16
0
0
0
1
8
0
16
16
8
8
0
1
1
0
0
8
10
0
5
5
5
5
8
22
0
8
8
8
8
8
8
4
4
4
4
4
8
4
0
16
8
8
8
0
40
40
40
0
0
0
0
32
32
1
1
1
1
8
8
8
8
8
8
0
0
0
8
8
8
8
16
8
8
8
0
0
0
1
8
44
8
8
8
32
8
8
8
8
8
8
8
0
0
2
24
8
8
8
8
8
8
8
8
8
8
8
0
0
0
0
32
4
4
4
4
4
4
4
4
0
0
16
16
16
16
16
16
8
8
8
6
6
6
6
0
0
0
16
16
16
2
4
6
0
0
0
8
32
32
32
8
4
4
4
4
0
8
8
0
0
1
1
1
0
4
0
0
0
0
16
16
33
2
18
8
16
0
0
0
0
36
4
4
4
16
8
8
8
8
8
8
2
2
2
16
8
4
4
0
0
0
0
0
0
0
24
8
8
8
0
2
2
1
0
8
4
4
16
0
8
8
16
32
32
32
8
0
0
8
8
8
8
8
16
16
0
0
0
0
0
8
0
0
0
8
8
8
8
8
1
1
1
1
8
8
8
16
0
0
4
8
16
16
16
16
16
16
0
0
0
0
8
8
2
2
2
0
10
6
6
16
42
42
4
42
8
8
8
8
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
8
8
8
8
8
0
8
1
0
16
16
0
0
0
16
8
1
8
8
25
25
25
0
20
20
26
26
26
8
8
8
4
16
16
16
4
20
4
4
4
4
4
28
8
8
8
16
8
8
0
0
28
8
8
8
4
4
4
8
16
16
16
16
16
8
8
8
8
8
8
0
17
2
2
0
0
8
8
0
11
2
1
2
2
2
8
0
0
8
1
1
0
0
0
16
20
9
9
9
17
2
2
2
2
30
30
8
16
16
16
1
0
0
0
0
8
0
0
0
0
16
16
16
2
16
16
0
16
16
0
0
40
32
32
0
1
1
1
1
1
8
8
8
8
8
4
4
4
8
16
8
0
0
32
32
32
32
0
8
10
10
2
4
2
0
0
0
4
2
2
2
2
2
2
16
16
4
8
16
16
8
8
0
0
0
16
16
16
16
8
8
16
8
8
0
0
16
16
16
16
8
8
8
16
16
16
8
0
0
4
8
8
8
8
8
8
8
1
1
1
24
8
0
8
0
8
8
8
16
16
16
0
8
8
1
1
1
1
1
23
23
23
8
16
8
0
2
2
8
8
8
0
0
0
0
0
8
8
16
16
8
8
8
16
16
0
0
0
16
0
0
12
12
8
8
2
0
0
12
12
12
12
0
0
3
3
8
8
8
16
16
16
16
8
16
16
16
0
16
1
32
8
8
4
4
4
0
8
1
1
0
0
0
8
8
0
16
16
1
1
8
8
8
0
8
16
4
4
4
4
8
16
16
8
8
8
8
0
0
16
0
28
1
0
0
0
22
10
2
0
32
1
1
1
0
0
0
8
8
8
0
0
4
8
8
8
8
8
8
16
0
8
8
8
8
0
0
0
0
0
0
0
16
16
16
16
8
8
8
4
8
4
1
1
1
1
0
1
0
0
4
4
4
8
8
8
8
8
0
40
8
16
8
8
16
24
16
24
24
8
2
2
4
4
4
16
16
0
9
9
9
9
0
16
8
8
16
4
0
8
16
0
0
48
48
48
48
48
0
2
2
2
0
0
0
0
0
2
0
8
8
32
32
32
32
32
32
0
0
8
24
12
32
16
12
28
12
4
0
16
16
16
2
2
2
2
1
1
1
1
1
1
1
1
0
0
8
17
17
0
1
13
35
35
32
0
0
0
0
1
1
1
1
12
8
8
8
8
8
8
0
1
1
4
12
12
4
8
0
8
8
0
4
4
1
1
1
0
0
0
0
8
0
56
56
16
1
8
8
8
8
20
8
8
8
8
8
8
8
16
1
24
24
24
24
8
8
8
16
16
16
16
1
1
0
8
8
16
32
32
8
8
1
8
8
8
1
1
1
16
4
8
8
8
4
4
4
4
16
16
12
0
8
16
8
0
8
22
22
22
22
22
22
22
22
8
4
4
4
8
2
2
2
2
17
8
8
0
0
0
0
0
0
0
0
0
0
0
16
8
8
8
8
8
8
8
56
56
56
10
10
0
16
16
16
1
8
4
4
0
0
0
17
8
0
8
8
8
8
8
0
16
16
16
8
8
40
24
24
24
24
0
0
20
8
9
9
9
0
16
16
1
8
0
0
0
0
8
8
8
0
16
26
2
2
8
4
4
8
8
16
0
0
26
24
16
0
0
0
0
0
0
57
57
0
32
32
8
8
2
1
1
1
1
1
0
0
0
0
0
0
0
0
24
8
8
8
8
8
0
0
0
8
8
8
8
8
8
1
1
8
0
0
0
24
0
0
0
0
0
0
0
0
4
8
0
0
0
0
28
28
8
0
8
0
0
8
40
0
1
8
0
0
0
0
0
0
8
24
8
16
16
16
16
16
2
0
0
16
16
16
0
8
8
8
8
0
0
0
0
16
16
0
0
0
0
0
0
0
8
8
2
16
16
16
16
16
16
16
0
4
8
8
8
16
16
8
24
8
0
0
0
8
0
8
16
16
16
8
8
16
32
0
0
0
0
0
8
16
0
0
0
4
4
4
8
8
8
6
2
0
0
3
8
0
0
0
34
34
34
34
34
34
0
4
4
16
16
16
1
1
0
0
16
16
4
4
2
2
2
9
8
2
2
0
0
0
8
8
8
3
2
1
16
16
0
0
0
0
0
16
16
16
2
2
2
8
8
8
24
8
0
0
0
0
8
8
8
8
0
16
16
16
16
16
16
8
8
16
8
8
8
8
8
0
0
0
16
8
8
32
16
16
16
0
8
16
1
10
20
20
20
20
8
16
16
16
16
24
8
4
4
4
4
4
4
4
4
8
4
0
8
4
4
8
8
9
8
8
8
8
52
16
1
1
1
24
8
0
0
1
1
2
8
8
8
8
16
8
8
16
16
17
8
8
2
18
3
1
16
0
25
1
0
0
0
2
2
0
16
24
8
8
8
8
8
16
16
16
8
8
16
16
8
8
1
8
8
8
0
0
8
12
8
8
1
1
4
4
4
4
4
0
0
16
16
16
24
16
16
16
16
0
0
0
16
16
16
16
16
4
4
16
24
16
16
16
16
8
16
16
1
8
0
8
8
8
8
16
32
17
1
1
5
5
5
5
4
0
0
16
16
8
8
8
1
8
16
16
0
0
0
24
24
4
4
0
17
16
16
16
16
16
0
1
57
16
16
1
8
16
16
28
0
0
4
4
0
0
8
8
8
8
8
8
4
12
4
4
4
0
16
16
8
8
0
0
1
1
4
16
16
16
16
16
16
16
0
0
18
18
16
16
16
1
1
16
16
16
0
1
1
8
8
8
0
1
1
8
8
8
8
8
8
8
0
16
16
8
8
8
8
8
8
16
16
16
16
16
16
0
0
0
0
0
24
0
8
8
8
1
8
12
8
8
8
0
8
8
8
0
3
1
0
16
16
17
16
16
1
1
1
1
8
16
28
16
16
1
1
0
0
0
40
40
0
0
0
44
12
12
8
24
0
0
2
2
2
0
0
8
8
8
8
8
8
0
0
0
8
8
8
0
8
8
1
0
0
0
0
0
4
4
4
0
8
16
16
0
0
0
16
8
8
0
0
0
16
16
4
0
0
0
0
8
8
0
0
0
8
8
0
32
32
32
32
16
13
13
16
4
4
8
8
8
8
0
4
2
8
8
8
8
8
16
16
16
16
16
16
4
4
4
24
24
24
8
8
1
2
2
2
0
0
0
0
0
4
4
8
8
8
8
8
8
8
4
4
4
4
4
4
4
4
4
0
1
8
0
8
0
8
0
0
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
0
1
1
8
8
16
16
16
16
49
49
49
33
4
4
0
0
1
17
2
16
16
8
0
0
8
8
34
34
0
8
8
8
16
8
8
8
8
2
2
2
16
16
16
16
4
4
4
4
4
4
4
24
24
24
24
24
24
16
16
2
1
8
8
8
8
23
0
0
2
0
16
8
8
8
26
8
16
16
16
21
16
0
8
8
8
8
8
8
8
8
8
8
8
42
42
0
0
8
8
8
8
8
8
0
8
8
8
0
0
20
20
20
24
24
0
16
0
24
24
24
16
0
0
0
16
24
4
4
4
16
8
4
4
4
4
4
0
1
1
0
16
8
8
8
16
16
16
16
16
16
16
16
1
1
1
1
1
16
16
16
0
16
16
32
30
8
8
8
8
16
16
16
0
0
8
16
16
10
8
8
8
16
16
16
16
8
16
16
16
16
16
16
1
16
16
0
8
16
16
16
32
0
6
8
8
0
0
8
0
0
16
16
16
0
0
0
8
8
16
16
16
16
16
16
24
8
8
4
0
4
8
1
12
8
8
8
8
8
8
8
8
0
8
8
8
8
8
0
35
16
16
16
0
8
24
6
6
6
6
6
4
4
2
2
0
16
16
16
17
16
16
8
2
0
1
1
1
1
0
0
0
32
32
8
8
1
16
8
16
0
1
8
8
2
40
40
32
32
0
0
8
8
8
8
8
8
8
8
8
32
1
1
1
8
4
4
4
4
16
16
16
0
0
0
0
0
0
0
0
0
0
16
16
16
16
16
16
16
28
6
1
1
0
8
8
8
42
0
8
8
0
16
16
16
8
0
0
3
24
16
8
40
40
0
4
4
4
28
1
0
0
0
0
8
4
4
4
1
1
1
1
4
16
16
16
20
1
1
16
16
16
16
6
8
8
0
8
8
2
0
0
0
8
4
20
20
20
20
8
8
0
16
16
38
38
8
0
0
24
16
20
16
8
8
8
16
8
8
8
16
16
16
8
8
4
8
8
8
16
8
0
0
0
0
0
17
12
8
16
16
0
0
8
8
8
0
0
0
0
0
12
4
4
4
8
4
4
1
1
1
1
16
16
16
16
16
16
1
1
8
20
8
12
12
12
24
8
8
0
0
8
8
8
17
0
0
0
0
42
16
16
1
1
1
16
16
16
0
24
24
16
8
8
8
16
16
16
0
0
37
37
37
4
4
4
4
4
8
0
20
20
8
8
8
8
8
0
8
8
0
0
0
0
0
0
8
1
1
1
4
8
8
8
24
8
0
0
0
8
0
0
0
2
16
16
16
16
0
0
8
8
8
8
0
8
8
8
8
0
0
16
0
0
1
1
1
16
16
16
16
1
8
1
2
16
0
0
8
12
8
8
8
8
8
16
16
0
0
0
0
9
9
9
0
0
0
0
0
0
0
8
4
16
16
16
16
16
0
8
8
8
16
16
16
8
8
8
2
2
2
2
0
0
16
16
16
16
16
16
9
8
33
8
32
32
19
2
2
2
2
1
1
1
1
1
1
0
16
16
8
32
16
0
0
16
16
16
8
32
32
32
32
8
8
8
8
8
8
8
4
4
8
8
8
8
8
8
8
8
8
0
0
26
8
8
8
8
8
8
8
0
0
16
16
8
8
16
8
8
0
2
16
16
0
0
0
0
0
20
2
2
4
8
8
8
16
16
16
16
16
16
48
2
2
8
8
8
8
8
8
16
16
8
8
8
8
0
0
0
4
4
4
4
4
4
4
8
8
8
8
8
4
16
16
16
16
8
17
0
0
0
8
8
8
8
0
8
16
16
0
2
2
4
4
0
8
8
8
8
8
8
8
8
8
8
8
16
16
16
16
16
16
2
8
16
2
0
16
16
8
8
8
8
8
8
24
8
8
16
4
20
8
8
16
16
16
16
16
16
4
8
1
1
3
3
8
8
8
8
2
4
4
8
20
20
2
0
0
0
16
16
16
16
16
16
16
8
1
8
1
1
16
0
2
2
2
2
0
0
8
8
8
8
8
8
8
0
0
0
0
0
4
4
4
4
28
0
0
0
0
16
16
16
0
16
16
16
1
1
1
56
8
8
9
0
0
0
0
8
8
8
0
0
0
0
0
0
0
16
0
16
8
0
48
48
0
8
24
0
8
8
8
8
8
8
8
6
16
16
0
0
8
8
8
8
0
16
16
8
8
8
8
8
16
16
16
8
0
0
0
8
8
0
0
0
24
8
8
16
8
8
4
4
0
12
0
16
16
16
16
16
16
16
0
16
1
0
0
0
0
0
0
0
0
2
0
0
0
8
8
8
8
0
16
16
16
16
16
16
0
1
4
4
4
8
8
8
8
8
4
12
8
8
8
1
16
8
8
8
0
8
8
8
8
8
8
8
8
8
8
8
16
4
1
5
0
0
0
16
6
4
4
0
0
0
0
0
0
16
2
8
1
1
1
0
0
4
16
16
8
8
8
4
4
4
8
8
8
8
17
17
17
0
48
0
0
0
0
2
0
0
8
4
8
8
0
0
0
0
1
1
1
1
8
8
0
0
0
0
2
8
8
0
1
1
1
1
1
4
2
2
8
8
16
16
1
1
0
0
0
58
58
8
0
26
8
8
8
0
0
0
0
1
1
1
0
0
8
49
8
0
0
0
0
1
16
8
8
0
0
0
0
32
32
8
0
8
8
8
8
8
0
8
8
4
4
4
4
8
8
8
8
8
16
16
16
0
9
9
9
9
8
8
4
4
8
8
8
8
8
8
8
2
2
17
17
17
17
0
16
8
16
4
4
0
0
0
8
8
8
1
8
16
16
16
16
16
16
16
8
0
0
0
0
0
0
0
4
4
4
4
0
0
0
0
0
0
0
0
2
2
2
2
2
24
8
8
8
1
0
8
8
8
8
0
0
0
0
0
0
16
8
8
8
8
0
0
24
8
8
4
4
2
2
10
8
28
24
24
24
0
0
8
8
8
20
16
16
8
8
0
33
32
1
1
1
1
1
1
3
3
3
0
8
22
16
4
0
4
4
4
4
4
1
1
1
9
8
0
12
4
4
4
4
4
4
4
4
4
4
4
4
2
1
1
1
1
1
1
5
5
32
8
8
8
0
0
0
4
2
2
2
0
8
56
40
8
14
0
0
0
8
8
16
16
16
8
8
8
8
8
16
16
1
1
18
0
19
16
16
16
34
34
0
8
8
8
8
8
0
8
16
8
2
32
8
16
16
16
16
16
16
16
10
10
0
0
0
0
0
0
32
32
32
0
0
33
16
16
16
16
4
4
4
16
0
25
8
8
8
8
2
0
2
0
0
0
0
0
0
16
0
16
16
14
14
4
0
0
0
8
8
8
8
8
8
8
8
8
0
0
1
16
16
16
8
8
8
8
8
8
8
0
0
0
16
16
20
20
8
8
2
2
2
8
8
8
9
9
9
16
16
16
0
16
16
16
16
16
0
16
20
20
20
1
1
1
1
1
0
0
0
0
1
0
0
0
0
8
24
24
8
8
8
8
0
4
8
8
8
16
8
8
8
8
8
9
9
8
8
8
8
8
8
2
8
8
8
1
1
0
16
23
56
8
8
8
8
8
0
8
1
4
8
8
0
4
8
29
29
8
8
8
8
20
20
0
1
1
1
1
1
16
16
56
16
0
8
8
20
0
0
0
0
8
1
16
16
16
16
0
0
0
0
0
0
2
32
16
8
8
24
1
8
8
8
8
16
16
12
12
12
12
0
0
16
16
2
8
8
8
8
24
8
8
8
0
32
16
8
8
8
0
8
8
0
0
0
56
56
0
0
16
8
1
8
8
0
16
24
24
24
4
4
4
5
1
1
1
1
1
16
8
8
8
8
0
0
0
8
8
40
41
40
40
8
8
24
8
8
8
0
0
0
8
8
4
2
2
4
2
16
16
16
8
8
28
0
36
1
1
1
1
1
16
33
32
16
16
0
0
0
0
8
8
16
16
4
16
0
1
1
48
48
0
0
16
16
0
8
8
8
8
8
0
0
0
0
0
0
8
8
0
0
0
2
1
1
1
8
8
8
0
24
24
16
8
8
8
8
8
8
8
1
1
1
0
16
16
16
0
16
48
0
0
0
0
8
0
2
18
18
18
18
8
8
4
4
4
2
2
2
2
2
2
2
2
4
4
4
4
10
14
0
1
1
0
0
0
4
16
24
1
1
1
16
1
16
2
2
2
2
2
2
16
8
0
16
8
8
8
0
0
0
0
8
8
36
9
8
8
8
8
8
8
1
8
8
8
8
8
8
8
8
8
3
0
0
8
16
28
8
8
8
0
0
1
1
8
0
49
18
16
16
0
25
25
16
16
16
16
8
8
0
0
0
2
2
14
14
0
0
0
0
24
24
16
16
16
16
16
16
16
4
8
32
32
32
8
8
8
0
24
16
16
16
16
16
8
8
8
24
4
4
16
1
1
18
16
16
42
42
24
16
16
16
16
0
0
2
2
2
2
1
1
8
8
8
8
16
16
16
18
18
0
16
20
4
0
1
1
1
12
6
24
8
25
8
8
16
17
17
0
0
16
16
16
8
8
8
0
24
0
0
0
17
2
0
16
16
16
16
16
16
16
16
16
16
16
16
4
0
0
0
1
1
8
8
8
16
8
16
0
12
8
1
1
0
0
8
8
8
8
16
0
0
0
0
0
0
16
16
8
8
8
0
16
2
17
8
8
8
16
16
16
2
16
24
16
0
16
16
16
16
4
4
4
4
4
8
8
8
8
2
8
0
0
16
16
16
8
4
8
8
24
24
20
8
0
0
0
0
4
2
8
8
8
8
8
8
1
1
1
1
4
4
4
8
8
8
8
18
0
1
8
0
16
8
8
8
8
1
8
8
14
6
8
16
16
16
0
0
8
8
8
8
16
16
0
0
8
8
41
41
41
16
2
1
1
4
4
4
8
4
4
4
25
8
8
0
0
0
32
32
8
8
0
0
0
0
0
8
0
11
8
8
8
4
4
8
16
32
8
0
8
8
8
0
1
1
1
13
13
13
4
4
16
16
16
2
16
0
1
1
1
8
8
58
42
42
42
2
16
0
0
0
4
0
24
16
8
8
8
16
16
16
16
16
0
24
24
16
16
8
8
8
0
8
8
10
8
8
0
0
0
8
8
8
12
1
1
4
4
0
17
8
0
8
8
0
16
28
0
8
8
8
4
4
4
4
2
2
6
4
4
8
8
8
8
8
8
8
8
8
8
8
8
2
2
2
8
1
1
8
8
0
8
8
0
8
8
8
2
2
2
8
8
8
16
16
16
16
16
8
8
0
4
4
4
4
4
8
8
0
8
16
16
4
4
4
4
1
0
2
16
0
16
8
8
0
0
0
2
3
3
3
8
5
5
5
5
5
4
4
4
4
32
32
0
0
8
8
16
16
16
0
1
1
16
16
16
16
4
4
8
4
4
8
8
16
1
1
1
17
0
8
8
16
16
16
2
2
21
0
0
16
16
16
16
8
16
1
1
1
1
1
0
8
17
17
17
17
17
17
17
17
17
17
8
4
0
0
0
0
0
0
0
16
16
16
0
32
32
32
32
32
40
19
19
19
19
19
0
0
32
16
16
16
0
8
8
8
16
16
16
2
4
4
4
24
24
8
16
16
16
22
0
8
16
16
16
12
12
12
12
8
8
32
32
32
32
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
26
18
14
16
0
8
0
0
0
16
16
0
0
0
8
8
16
16
16
16
16
16
16
0
1
1
1
1
0
0
0
0
40
18
0
0
0
0
18
16
16
16
16
16
16
24
16
16
16
16
24
24
16
2
2
2
16
0
0
4
1
0
1
17
9
8
16
18
18
18
18
8
8
24
2
2
2
1
4
24
0
0
8
32
32
32
32
32
0
0
8
0
0
0
0
16
0
8
8
0
0
0
0
0
8
16
16
16
16
16
16
16
16
16
16
16
0
0
8
2
2
8
0
0
0
0
0
0
8
8
0
0
4
4
4
8
24
0
0
0
0
0
8
16
16
16
16
16
16
16
16
16
9
1
29
4
8
16
16
16
0
0
8
8
0
0
0
8
8
0
26
16
8
8
8
8
8
6
8
8
4
4
16
2
2
2
2
2
2
2
2
16
16
16
0
4
24
24
0
4
16
20
20
4
4
4
4
4
4
4
1
1
1
28
12
12
12
8
1
1
1
17
0
8
8
48
48
8
8
8
19
19
19
19
4
4
4
4
4
0
0
0
0
32
0
32
32
0
0
1
16
16
12
12
12
12
16
16
0
0
0
0
0
8
8
8
8
8
8
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
8
8
8
8
8
8
8
10
10
10
0
8
0
0
0
16
4
9
8
8
0
0
0
8
0
16
8
0
2
2
0
0
0
0
0
0
0
8
8
8
4
17
17
1
0
0
0
0
8
8
8
0
0
16
8
8
8
8
20
20
20
20
16
4
2
2
2
2
26
8
8
8
8
8
8
0
0
28
16
17
16
16
16
16
16
16
16
16
4
4
6
8
24
8
5
4
4
6
6
6
6
6
16
16
8
8
32
32
32
8
8
8
8
8
8
8
8
0
8
8
8
0
16
16
8
8
8
12
4
4
6
18
26
26
4
4
4
2
0
0
2
2
0
32
8
0
0
0
16
0
0
16
0
32
32
3
18
16
16
16
16
0
0
0
0
2
4
4
31
16
9
0
0
0
8
8
8
8
0
0
16
4
24
24
16
8
8
1
1
1
8
8
4
6
2
2
2
8
8
8
0
22
22
22
22
5
5
5
5
16
0
0
0
0
1
0
0
0
16
8
8
0
0
0
0
32
32
32
0
0
8
8
8
16
16
16
16
16
17
17
1
0
0
8
8
8
0
12
0
16
4
0
18
18
18
0
0
8
40
2
2
2
32
32
32
32
0
8
8
8
2
2
2
2
2
2
2
1
1
1
8
0
0
0
0
0
17
0
8
0
0
0
0
0
0
8
0
0
1
1
1
1
1
1
8
16
8
8
8
0
17
17
0
0
32
8
8
16
8
8
8
8
8
8
8
8
8
16
16
32
32
28
32
32
32
32
8
8
8
8
8
8
8
8
4
4
4
4
4
4
4
4
4
8
8
4
2
2
2
5
5
4
8
24
1
0
0
0
0
8
10
10
8
8
8
50
50
50
0
16
0
24
8
8
8
8
0
0
24
0
0
0
0
4
0
8
8
8
8
8
8
8
0
8
8
8
8
0
0
0
0
0
0
0
0
8
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
16
4
4
16
20
0
32
32
32
16
16
16
0
0
16
16
2
2
2
2
2
2
2
2
2
2
2
29
0
0
8
8
0
18
18
18
18
8
20
0
0
32
17
17
16
33
33
33
0
0
0
0
1
8
53
53
53
8
4
4
0
48
32
32
0
32
9
8
8
8
8
8
8
32
36
36
53
36
32
2
2
0
4
8
8
8
16
24
8
8
8
8
2
0
16
16
16
16
20
4
4
4
8
0
0
8
40
0
0
0
2
0
0
0
0
16
16
16
16
16
0
0
8
8
8
8
8
8
16
16
16
8
8
16
16
16
16
16
0
20
20
20
20
20
3
3
0
0
0
8
24
24
16
16
16
16
8
0
0
8
8
8
8
0
1
16
16
0
17
17
17
0
24
24
10
10
8
8
0
27
27
27
27
0
28
24
8
3
0
16
8
3
8
8
1
1
4
4
4
0
8
8
20
16
16
16
0
16
20
20
16
8
8
16
12
12
0
8
8
8
8
8
0
18
16
16
16
8
0
0
0
0
16
16
16
16
16
0
8
0
0
0
16
16
16
8
8
8
8
8
0
8
8
8
8
8
8
8
8
8
8
8
8
16
8
0
38
8
8
0
0
16
0
8
8
8
8
8
8
8
8
8
8
8
1
4
4
16
16
16
9
0
8
8
8
8
8
8
8
8
8
8
8
8
16
16
16
16
16
16
16
16
16
40
40
16
16
16
1
1
0
0
0
0
8
8
16
16
0
1
1
8
8
3
0
8
1
1
1
1
1
1
16
16
16
16
0
0
8
0
8
16
16
8
8
8
16
1
1
1
16
8
42
2
2
2
2
0
0
4
4
2
2
0
8
40
40
40
8
8
0
0
0
2
2
0
8
8
8
0
2
2
2
8
8
4
0
4
8
26
8
16
16
16
8
8
0
0
16
16
16
16
16
16
0
0
32
32
0
0
0
0
0
0
0
0
0
0
0
0
40
32
0
8
8
24
16
16
1
0
0
0
16
16
16
0
0
0
0
9
1
9
1
1
4
4
17
17
4
0
0
8
8
16
16
8
8
8
8
30
22
24
24
24
8
2
2
2
8
8
8
1
8
8
8
8
8
8
8
8
8
8
8
8
6
8
8
16
2
0
0
0
0
0
0
0
0
0
1
16
16
16
16
18
26
26
8
8
8
24
16
8
16
24
0
0
0
4
4
1
0
0
24
24
19
19
16
16
16
16
16
0
0
0
0
0
8
12
32
8
0
0
0
0
0
0
0
8
8
8
8
8
0
2
2
2
1
1
1
0
0
4
16
24
24
16
16
16
16
16
16
8
20
16
16
16
16
8
0
0
0
0
8
16
24
4
32
32
32
1
56
56
32
8
8
8
8
8
8
8
8
8
8
8
2
2
2
16
4
0
0
12
8
0
8
8
0
8
16
16
16
8
0
0
4
4
5
0
0
0
16
16
16
0
0
0
0
8
8
0
8
16
4
0
0
0
0
1
16
16
2
2
2
2
2
2
8
8
10
16
4
4
4
4
4
0
16
16
16
2
2
2
6
8
8
8
26
42
0
0
8
0
0
8
16
2
2
2
2
2
2
2
2
40
1
1
1
0
4
4
4
4
4
8
8
1
8
40
4
0
0
0
0
0
5
1
1
1
1
16
16
0
0
0
16
17
25
8
4
4
4
4
16
8
8
8
8
8
8
0
8
8
8
0
0
0
32
8
8
8
10
1
1
33
33
32
32
40
24
12
0
0
4
4
8
4
4
4
16
16
16
16
4
0
0
0
0
0
0
0
8
8
9
9
9
8
8
8
8
16
16
16
20
20
20
16
0
1
1
0
8
0
0
8
8
8
0
0
0
0
8
8
8
0
16
16
16
16
0
0
0
0
0
0
0
0
8
8
4
0
16
0
0
8
8
8
8
8
2
2
2
2
2
8
8
8
8
0
8
8
0
0
0
0
0
1
1
8
0
0
8
0
0
16
4
32
8
8
8
8
32
32
16
16
16
4
4
4
4
4
8
8
8
8
32
32
16
8
8
8
8
0
0
8
0
32
32
2
2
2
2
2
2
2
7
2
2
2
8
16
16
11
0
8
8
12
8
16
16
1
1
17
12
12
12
8
0
0
0
0
0
0
8
8
8
8
8
8
8
8
16
16
16
16
8
4
4
2
0
4
4
1
8
8
8
8
32
32
32
16
8
8
0
8
8
8
32
0
16
24
24
2
8
8
8
0
1
8
16
16
16
16
1
1
0
16
8
8
13
13
24
8
8
8
8
8
8
8
0
8
8
8
8
8
8
17
4
4
0
0
0
0
0
0
8
1
1
8
8
8
0
0
0
0
0
16
0
0
52
24
10
10
0
0
0
3
3
3
3
8
8
1
1
1
1
1
0
0
8
8
16
16
16
8
8
48
4
4
4
4
4
4
2
2
0
0
0
0
0
0
2
2
2
0
0
0
0
2
2
2
2
0
0
0
16
8
8
24
1
1
16
16
0
0
8
8
0
0
0
0
0
10
10
10
0
0
0
0
16
16
16
16
16
16
16
16
16
16
16
16
4
4
16
16
6
0
0
1
1
1
0
0
1
1
1
1
8
16
24
8
8
8
2
2
0
0
0
8
18
18
8
0
16
16
16
8
8
0
16
16
8
9
9
0
16
4
4
4
8
0
0
0
0
0
8
8
8
8
8
8
8
8
8
16
16
1
1
1
1
8
12
2
2
2
16
16
16
16
16
16
16
0
16
16
16
0
0
0
16
16
0
8
0
2
2
2
2
8
8
4
4
4
4
8
8
8
8
8
1
8
8
8
18
18
18
18
8
8
8
8
2
2
2
2
2
1
1
8
8
8
8
8
4
4
36
4
4
0
20
4
4
4
4
16
0
0
0
0
24
8
8
8
0
0
0
16
16
16
16
1
17
8
8
8
0
8
8
0
8
8
8
8
8
8
8
0
0
0
0
8
0
0
18
16
1
1
1
4
5
0
8
8
8
8
20
4
4
4
0
8
2
0
16
16
4
4
0
4
1
5
5
5
8
0
0
4
4
20
4
0
0
32
32
0
0
0
8
8
16
0
1
9
1
1
16
16
0
10
4
4
4
4
8
8
8
8
8
8
8
8
8
8
8
0
1
9
1
16
16
16
4
4
4
0
8
8
8
2
0
8
9
9
9
9
9
9
8
16
0
0
0
16
0
0
0
0
0
16
17
8
0
1
1
8
1
1
1
1
1
0
0
0
16
56
16
0
16
16
16
16
0
0
0
6
2
0
0
0
0
8
8
8
8
8
0
0
32
0
1
0
10
8
8
8
8
8
8
25
4
4
4
8
8
8
8
8
0
0
8
16
16
8
8
8
8
0
32
8
8
0
0
16
3
42
8
8
8
8
8
8
16
16
1
16
8
8
8
40
12
8
8
8
16
8
8
8
16
16
16
0
0
28
17
4
24
24
8
8
8
8
8
0
0
16
4
4
8
8
8
1
4
16
16
16
0
0
16
1
1
50
12
0
0
0
8
8
8
8
8
32
16
16
0
16
16
0
24
8
8
8
8
8
16
16
8
8
8
8
16
8
0
8
4
4
4
1
4
5
16
8
8
8
8
0
8
8
4
4
8
16
16
0
16
16
4
8
0
16
16
16
16
0
0
16
16
16
16
2
2
8
8
0
16
0
8
2
2
2
2
8
8
16
16
16
8
2
8
8
32
0
32
8
0
24
4
16
4
4
16
16
1
1
4
20
20
32
32
32
16
8
8
8
8
26
20
20
8
16
16
4
4
1
5
2
4
4
32
32
0
0
0
0
16
16
8
2
8
3
3
3
16
16
0
24
16
4
4
4
8
8
8
16
16
1
5
1
4
4
16
8
16
0
16
8
0
0
0
1
16
16
0
0
0
0
0
16
16
16
16
25
16
16
16
0
1
1
4
0
0
12
12
8
8
0
0
0
0
0
0
0
32
32
0
8
8
8
0
4
4
4
0
16
16
8
1
1
9
1
4
0
0
0
8
0
0
0
0
41
41
8
8
16
17
1
8
8
16
16
16
16
30
30
30
8
8
0
8
8
16
16
16
17
24
16
16
16
0
0
40
0
16
0
16
8
8
8
8
8
8
24
24
0
4
16
4
4
4
4
32
24
24
0
0
20
8
8
8
8
4
4
4
16
16
16
16
0
4
4
0
0
4
4
8
8
8
2
2
0
0
0
0
0
8
8
8
8
0
40
8
8
8
8
4
8
0
8
0
0
8
8
8
8
1
1
4
4
4
4
4
20
20
4
0
16
40
8
8
24
0
0
0
8
8
32
32
0
16
8
0
24
24
24
8
16
16
0
0
0
16
16
16
8
9
16
27
2
2
2
0
0
0
16
17
17
16
16
8
8
8
8
8
8
8
23
23
23
16
16
2
2
2
2
2
2
20
0
0
16
16
0
0
16
16
2
2
2
2
16
16
16
2
2
2
2
2
8
4
16
16
16
17
17
17
8
8
16
16
16
16
16
2
8
8
8
0
0
1
1
1
35
35
35
1
1
0
0
2
8
8
8
8
32
8
16
16
16
0
0
8
0
8
8
16
1
24
8
8
8
0
8
44
32
2
32
32
0
0
4
4
5
8
16
16
16
16
16
17
16
16
16
16
12
12
1
1
0
0
0
8
8
8
8
15
41
8
8
9
9
4
4
16
16
16
16
0
0
8
0
8
8
2
16
2
1
1
1
8
8
4
4
4
4
0
0
0
16
8
8
8
8
0
0
0
0
4
16
16
16
8
8
8
8
16
16
4
0
16
8
8
4
0
8
8
8
1
1
1
1
1
16
16
8
8
1
2
2
16
16
20
16
16
8
8
8
16
16
8
16
8
8
8
8
2
10
10
10
8
0
0
0
0
0
0
0
1
1
1
1
8
8
8
0
16
16
0
0
0
8
12
0
0
0
0
0
0
10
8
8
32
16
8
8
0
8
0
0
1
0
40
0
0
0
16
16
16
16
16
16
16
16
16
16
16
8
8
8
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
0
0
0
0
16
16
16
16
16
32
8
0
0
24
1
16
0
0
0
8
8
8
8
8
0
0
21
16
16
16
16
16
0
0
0
0
0
0
0
0
36
0
0
42
1
1
1
1
16
16
8
16
16
4
0
0
16
16
8
8
16
16
0
0
0
16
16
4
4
8
16
4
4
4
4
16
16
16
17
8
8
0
0
0
0
0
2
2
16
4
4
4
4
0
0
40
40
8
8
0
0
0
0
8
0
0
0
4
8
0
16
16
16
16
16
0
0
0
16
16
0
0
16
16
0
8
8
1
0
8
0
0
0
0
16
0
0
16
16
16
16
16
16
2
2
1
1
0
16
0
8
2
16
16
0
0
0
0
16
16
16
16
16
8
8
16
0
0
0
1
1
1
17
17
4
24
24
4
1
16
16
16
16
0
0
12
12
12
0
8
2
2
16
16
16
16
2
2
2
0
0
0
0
0
0
2
2
2
2
2
0
16
0
20
20
4
2
2
2
0
0
0
0
38
8
16
8
0
8
16
16
16
16
0
0
16
24
24
0
16
16
1
17
1
0
0
0
8
8
2
4
4
8
10
10
2
2
8
8
8
8
24
24
24
0
48
48
48
24
0
17
8
2
16
32
8
16
16
16
16
0
8
8
0
0
0
0
0
16
28
8
8
8
0
8
16
16
16
16
16
16
12
4
16
16
16
16
16
8
2
2
2
2
2
2
2
16
16
16
16
16
16
32
0
16
12
12
12
0
8
8
8
8
0
8
8
8
8
8
2
2
1
1
8
5
32
32
32
32
10
1
32
32
1
1
0
4
4
0
0
24
24
24
24
9
9
16
8
2
2
0
0
1
1
16
4
4
4
4
32
32
32
8
8
0
2
2
0
0
20
20
16
16
16
16
16
0
0
8
8
8
8
8
8
16
16
0
16
16
0
16
16
16
16
16
16
2
2
8
1
1
30
0
0
8
24
6
6
0
0
16
16
16
16
16
13
4
24
8
8
8
8
8
8
8
8
2
32
16
16
16
16
16
16
16
0
4
8
0
8
8
6
2
0
8
0
0
0
0
8
8
8
8
0
0
4
4
16
16
16
0
2
9
16
16
8
8
8
8
16
16
0
0
32
32
6
6
6
4
4
1
0
0
0
40
40
40
40
0
0
8
27
8
0
16
16
16
16
8
8
8
8
0
0
20
4
2
16
24
0
0
0
0
0
0
8
8
2
2
2
4
4
0
8
8
8
8
16
16
16
0
0
1
1
16
0
4
4
0
4
0
0
24
24
24
2
2
2
0
8
24
56
2
2
8
8
1
1
1
1
1
1
1
4
4
4
0
2
2
24
16
0
16
16
0
0
56
56
56
56
56
8
8
8
8
0
0
0
8
24
8
8
8
8
8
4
1
0
0
52
52
40
0
1
1
8
8
16
16
8
30
28
28
2
0
8
8
8
28
0
0
0
0
6
6
16
8
0
16
0
0
32
32
0
0
48
48
16
16
16
16
16
16
1
1
1
8
8
8
8
8
0
8
16
16
8
8
8
8
0
2
2
2
2
24
1
1
1
8
1
1
1
16
16
16
20
20
20
20
20
20
20
20
8
8
0
16
24
16
8
8
8
0
0
24
24
24
0
0
8
8
8
8
8
8
56
21
0
0
8
8
8
8
0
16
16
16
16
8
8
8
32
32
32
1
0
16
0
18
18
0
4
4
4
4
8
8
8
8
0
0
52
16
16
16
4
4
8
0
0
8
8
8
16
16
0
44
44
44
0
16
24
16
14
14
10
48
48
0
0
16
16
0
0
8
1
1
8
2
2
0
16
2
8
8
1
24
24
0
16
8
8
8
0
0
16
4
4
4
16
16
16
16
8
8
13
1
1
1
1
1
1
8
8
8
16
16
16
16
16
8
1
1
29
16
8
8
8
8
0
2
1
3
8
8
18
18
0
2
2
2
0
4
16
0
0
0
16
16
8
16
16
16
8
44
0
0
16
16
16
16
53
4
8
8
8
2
8
0
8
8
4
4
5
4
4
0
8
8
48
16
16
0
0
0
0
2
2
2
16
0
16
16
16
16
8
8
1
4
4
8
8
24
8
8
8
0
0
0
16
26
32
33
33
32
32
16
16
0
0
16
0
16
16
16
16
16
16
16
16
16
0
0
6
6
8
0
0
16
16
16
8
0
0
0
16
16
16
0
16
8
0
0
0
0
1
1
16
16
1
16
16
16
0
17
3
3
8
16
16
26
16
24
32
32
1
1
16
24
0
12
0
17
17
0
0
16
16
0
0
0
0
16
24
16
16
1
1
0
0
0
8
8
0
18
8
40
40
0
0
24
16
9
1
1
1
8
8
8
8
1
1
16
16
16
16
16
8
16
16
20
20
8
1
1
1
8
8
0
8
0
32
12
16
16
31
31
31
31
2
16
24
24
8
8
8
8
8
16
0
0
8
8
8
8
8
8
24
2
2
4
4
4
4
8
9
9
8
8
41
8
8
1
1
1
1
1
1
1
8
4
4
8
0
0
0
0
8
16
1
16
16
0
0
0
1
0
16
16
16
16
4
4
4
1
1
1
0
0
8
0
0
0
0
0
16
4
0
16
4
0
8
8
8
0
8
8
8
8
8
8
8
8
8
8
8
4
4
0
0
2
2
2
2
2
16
16
2
16
16
16
16
0
0
8
8
8
8
8
0
0
16
24
16
0
0
20
4
16
24
8
16
8
8
8
8
8
8
8
12
12
0
2
8
0
0
16
8
20
20
56
32
0
0
8
8
24
8
8
8
8
16
0
0
0
0
0
0
0
8
16
16
4
32
40
0
0
0
16
16
16
16
16
16
16
16
16
2
2
2
8
16
16
16
16
16
8
16
16
16
16
0
0
0
0
0
2
2
8
6
6
6
4
16
8
8
8
32
32
16
16
8
0
32
0
0
0
4
4
0
0
0
0
17
0
0
0
0
8
16
16
0
24
24
8
1
8
8
1
16
16
8
8
16
8
8
0
0
0
16
16
0
16
16
1
1
1
1
8
18
16
31
31
0
8
0
12
12
12
12
8
8
8
0
0
0
53
24
8
0
16
16
16
0
8
0
0
0
8
8
4
0
0
0
0
8
16
16
4
2
16
16
16
0
16
16
32
32
1
16
16
16
16
16
16
8
8
4
4
5
2
2
9
9
9
9
9
0
16
0
8
8
8
8
8
8
8
0
4
0
0
0
0
0
0
32
32
8
8
8
1
16
16
16
8
8
8
8
8
16
16
16
2
8
16
16
16
16
16
16
16
16
0
8
8
8
8
0
0
16
16
16
8
8
8
8
1
1
8
0
0
4
2
2
2
1
1
1
1
0
0
0
24
24
8
8
32
32
32
2
8
24
8
10
8
8
4
4
4
32
8
0
0
0
0
0
0
17
1
1
1
0
0
0
1
0
0
8
16
16
16
16
16
4
8
6
6
4
20
4
0
0
0
8
8
16
0
4
4
4
4
16
16
16
0
0
32
8
16
16
16
16
16
16
28
0
0
16
16
16
16
8
8
0
4
4
4
4
0
8
1
4
4
4
4
4
4
32
32
18
18
16
16
16
16
16
16
16
16
16
25
8
17
16
8
8
8
1
1
0
0
16
16
16
16
16
24
16
0
0
1
1
0
0
0
16
16
4
4
4
0
0
0
0
8
8
2
2
8
1
8
8
0
0
24
8
8
8
8
8
56
0
0
8
8
8
16
25
24
8
0
0
0
8
8
17
0
0
8
16
16
16
16
8
8
0
16
16
8
8
4
4
4
4
8
16
16
16
16
0
0
0
0
1
0
0
8
8
0
0
0
17
1
1
1
16
18
2
2
0
8
16
8
0
16
16
16
8
16
1
4
0
0
0
0
0
16
16
8
8
8
24
24
4
0
8
8
8
8
8
8
8
0
4
4
8
44
8
0
24
4
4
8
8
12
12
12
12
16
16
4
4
2
8
8
16
0
0
16
0
0
0
0
0
0
8
8
8
8
8
0
0
0
0
0
17
2
12
12
0
8
8
8
8
8
0
4
0
8
8
8
0
0
8
0
0
0
0
0
0
24
8
16
48
16
16
32
32
8
8
3
3
3
8
8
8
8
8
8
8
0
0
0
0
0
0
4
0
0
4
0
0
16
16
16
16
16
16
16
2
8
2
0
32
32
32
0
0
0
0
32
32
0
8
8
8
8
0
0
0
8
8
16
16
0
8
8
8
8
16
24
24
24
24
24
24
24
24
8
8
8
8
8
0
1
1
1
0
0
0
20
20
20
20
20
20
20
20
0
1
8
16
16
16
4
20
20
2
8
8
56
1
4
4
4
4
4
4
4
4
16
16
0
4
0
0
0
0
0
0
0
0
1
3
8
8
24
8
16
8
8
8
8
8
16
2
0
24
24
8
8
8
8
16
8
8
32
32
0
16
10
16
16
8
8
8
8
0
56
56
2
16
0
2
2
8
4
8
4
0
0
8
4
16
16
20
33
33
33
0
0
0
0
8
8
8
0
2
8
0
0
0
0
0
0
8
8
24
1
9
32
1
0
8
16
16
2
2
2
16
16
16
16
16
16
16
0
1
0
20
20
5
2
40
8
8
8
4
4
4
4
0
4
1
1
4
4
4
9
2
16
0
0
0
0
8
8
8
20
20
20
0
1
8
1
1
1
32
32
32
32
0
0
0
0
1
1
0
0
2
2
2
0
12
12
12
12
1
0
0
16
1
8
16
16
16
17
8
8
8
1
32
8
8
0
8
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
8
0
0
8
24
8
8
8
16
16
8
0
0
8
8
8
32
40
32
1
16
8
8
4
0
0
8
4
4
1
1
1
0
0
0
0
0
0
0
0
0
0
4
4
4
4
0
34
2
2
2
1
0
4
12
12
12
0
27
27
27
27
27
32
4
24
24
24
0
0
16
16
16
16
16
16
16
16
8
16
16
16
8
8
8
8
8
8
16
8
8
8
8
8
8
8
0
0
24
0
8
8
8
8
5
8
0
16
16
16
16
0
0
0
8
8
8
8
8
8
8
8
16
0
1
5
4
8
8
0
0
0
0
0
4
4
4
4
0
0
56
56
56
56
16
1
1
0
8
8
8
0
16
16
16
8
8
0
0
20
16
16
16
0
0
0
16
8
16
32
32
32
12
0
0
1
1
24
2
16
16
0
8
0
8
8
8
16
8
8
9
1
1
8
0
0
4
4
4
28
8
8
8
16
16
8
8
8
8
0
16
16
0
0
9
0
16
0
18
0
0
0
8
8
8
0
0
0
16
8
0
4
4
2
2
16
0
16
16
0
2
2
8
8
8
8
0
0
16
16
0
0
0
0
0
0
16
0
0
0
0
0
16
16
16
4
4
0
0
6
2
2
0
0
16
8
0
16
8
0
8
8
0
8
8
8
8
8
8
16
17
17
8
8
8
8
8
0
16
16
8
8
8
0
8
8
8
8
8
0
8
8
8
8
4
7
4
16
16
16
8
0
4
8
8
8
8
1
1
2
0
4
0
0
0
0
0
16
16
16
16
24
24
24
24
24
5
0
0
0
0
6
4
8
8
8
4
8
8
8
8
8
1
0
8
16
4
4
17
0
8
8
0
0
0
0
0
0
0
0
0
20
4
2
2
19
16
16
16
2
16
16
16
16
16
16
16
8
8
2
16
18
34
34
34
34
16
16
1
1
16
8
10
8
8
0
3
0
0
25
1
8
9
9
8
32
32
60
60
14
14
8
16
16
16
8
8
0
0
0
8
1
0
0
0
8
8
8
0
0
0
10
2
16
16
0
0
0
0
0
0
16
16
0
0
1
1
1
1
1
1
0
0
2
8
20
1
1
0
4
4
4
16
0
4
4
0
48
4
4
8
0
16
0
16
12
2
2
3
0
16
16
16
8
8
8
8
4
4
4
4
0
4
32
18
16
16
16
16
16
16
8
8
8
8
8
8
16
0
16
16
0
0
0
0
16
0
2
30
32
16
16
16
16
16
21
8
8
8
8
8
0
8
8
8
8
1
1
16
1
1
1
8
8
16
16
16
16
8
8
8
8
8
2
2
2
2
2
1
0
0
2
8
8
0
16
16
16
16
16
16
16
16
16
8
16
16
16
16
0
16
1
1
8
0
0
0
1
8
8
0
16
16
1
17
8
8
8
8
8
8
16
12
12
12
0
0
8
8
8
8
8
8
32
32
32
12
0
0
16
2
10
16
16
0
16
16
16
16
1
1
8
0
8
8
16
16
1
1
8
16
16
16
2
2
0
8
16
4
4
8
9
24
16
16
16
0
24
24
16
16
16
16
16
16
16
16
1
16
16
16
2
2
0
0
8
28
16
16
16
16
8
8
16
0
0
0
16
16
8
4
0
0
0
0
0
8
8
0
16
16
10
10
10
2
4
4
4
0
4
4
4
4
16
16
16
16
16
16
8
8
0
24
8
8
4
4
4
4
20
8
1
0
16
0
16
16
0
0
8
8
4
4
4
8
4
4
8
8
0
4
4
4
4
4
4
4
4
4
4
6
4
4
0
16
16
16
24
1
8
2
2
2
0
1
24
24
1
1
16
16
1
1
0
0
0
0
0
18
16
20
16
16
16
16
16
16
4
4
4
4
16
8
8
0
0
0
16
16
8
8
8
28
28
8
8
8
0
0
16
16
16
8
32
32
16
16
8
8
16
8
8
8
8
0
0
0
0
0
0
0
8
0
0
0
0
0
0
6
16
16
0
0
10
8
8
0
0
8
8
0
1
1
1
1
1
1
0
4
8
8
8
2
2
2
2
0
9
9
9
9
1
16
16
16
16
16
16
16
0
0
1
1
36
8
8
24
0
0
0
0
0
0
0
2
2
16
16
0
0
0
0
0
16
8
4
4
0
0
8
8
21
8
8
8
0
0
8
8
8
8
8
8
0
8
8
8
0
0
0
0
0
0
4
16
8
8
0
8
2
2
2
2
4
4
16
16
0
8
8
8
8
0
4
2
2
2
2
2
2
2
8
8
0
8
8
8
2
2
2
2
16
16
16
24
16
16
8
8
17
16
16
16
0
16
16
13
13
13
13
13
4
16
16
16
0
0
0
0
0
0
8
0
32
32
4
2
2
10
8
8
8
0
8
8
8
8
1
8
1
1
1
1
1
0
1
8
0
58
58
8
11
24
8
0
0
1
8
4
1
4
4
5
1
8
8
8
8
0
8
33
33
33
0
0
4
1
32
33
33
24
24
16
8
0
9
1
28
8
0
0
16
16
16
0
8
0
32
32
4
6
8
8
24
0
0
0
0
0
16
16
41
41
16
16
16
1
1
12
12
8
8
8
8
8
8
8
0
0
2
2
0
8
4
0
8
8
2
2
46
0
0
0
0
0
4
20
4
8
8
8
8
16
2
2
2
28
28
0
24
8
8
8
8
8
8
16
16
16
16
16
16
16
16
16
32
16
16
16
16
8
32
32
16
4
4
4
4
16
2
2
0
0
0
0
8
16
16
8
8
8
12
4
4
8
2
9
9
24
0
0
0
0
0
0
8
0
0
0
0
16
4
8
16
16
8
0
32
16
16
16
16
16
8
8
8
8
0
0
8
24
4
8
32
0
16
0
16
8
8
8
8
32
32
32
4
1
8
8
1
1
2
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
16
0
0
0
1
16
16
16
16
16
0
8
0
0
0
0
0
0
8
0
8
8
0
8
8
16
16
8
8
16
0
0
8
8
8
8
56
0
0
0
4
0
0
0
1
1
1
0
24
8
8
8
1
1
8
25
25
1
56
0
0
0
0
0
8
0
0
4
48
48
0
4
1
1
1
0
0
0
0
0
0
1
1
0
32
32
29
0
0
0
0
0
0
30
4
4
4
4
24
24
16
16
8
8
20
8
16
16
16
16
16
8
8
1
0
8
8
8
8
16
16
8
8
8
8
8
8
8
8
8
0
16
16
16
16
2
0
16
16
16
16
29
8
19
19
19
26
8
8
8
0
8
8
0
8
4
4
4
4
0
8
8
8
8
0
0
16
16
16
8
0
0
0
0
1
4
4
4
0
0
8
8
8
16
16
16
0
0
0
0
0
0
8
8
8
1
1
0
16
8
0
8
8
0
0
0
0
8
8
8
8
4
2
1
1
8
8
0
16
16
16
16
8
8
0
0
1
1
1
0
16
0
4
4
4
4
4
4
4
4
4
16
16
16
16
1
16
16
16
16
2
4
8
0
0
4
8
8
16
24
24
24
24
24
24
0
0
1
0
0
8
0
0
0
4
2
2
24
24
0
0
0
0
0
0
32
0
0
8
8
8
2
2
8
8
4
4
0
1
8
8
8
16
8
1
1
1
8
16
16
0
4
4
4
16
16
16
0
0
8
2
2
2
8
16
12
12
12
12
12
12
8
0
2
2
0
0
16
16
16
16
16
16
8
8
12
0
0
0
8
8
8
8
8
8
0
0
0
0
0
24
24
8
8
8
8
8
8
4
4
4
16
0
0
0
32
32
1
1
1
0
0
0
0
0
8
8
1
0
1
0
4
5
0
16
16
8
8
8
8
8
8
8
0
0
8
8
8
16
16
16
16
17
17
17
8
8
8
1
8
8
8
8
8
8
8
16
1
1
1
1
1
1
1
1
16
10
11
10
10
14
10
2
2
8
8
8
0
0
0
32
8
4
8
8
24
24
24
16
16
16
16
16
16
16
16
16
1
16
16
1
1
8
8
8
8
8
0
0
0
0
1
1
1
1
1
1
0
0
3
2
2
16
0
0
16
16
0
0
16
16
0
4
4
4
8
8
24
0
0
0
0
0
0
8
16
0
0
0
0
16
0
2
2
2
16
16
1
16
1
1
8
8
8
8
33
33
33
33
0
17
16
0
0
0
0
32
8
16
0
8
8
10
10
1
1
1
4
4
16
16
0
8
8
8
52
52
8
8
16
16
16
16
8
24
24
0
0
8
8
8
8
0
16
16
16
16
16
4
8
8
0
0
0
16
16
2
2
2
0
0
1
32
0
0
0
8
8
0
8
1
1
1
8
0
0
0
0
32
32
32
0
8
8
8
0
8
8
16
0
0
0
8
8
8
16
8
0
1
1
1
1
0
4
4
4
18
8
12
12
16
16
16
16
16
16
8
8
9
8
1
1
1
8
8
8
0
8
8
8
8
8
8
8
8
16
8
1
1
16
10
10
8
8
8
8
8
8
8
8
8
0
52
11
1
20
20
0
16
6
16
16
16
16
16
4
4
4
4
4
0
0
8
8
0
53
52
2
2
2
16
24
1
1
8
8
8
8
8
1
2
2
8
16
16
16
16
8
8
8
8
1
1
0
0
0
16
16
16
0
0
0
0
0
8
4
4
4
16
8
0
24
1
8
8
27
27
59
16
28
8
8
16
16
16
16
16
0
41
33
8
8
8
8
8
16
16
0
0
0
0
8
32
32
32
32
32
32
8
8
8
16
16
0
0
0
0
0
0
0
8
1
1
4
4
4
4
8
8
8
18
18
18
8
8
12
12
12
0
4
16
20
20
0
0
16
4
4
2
2
2
2
2
2
16
0
16
16
16
16
16
16
16
8
8
8
1
8
8
8
0
0
16
2
8
16
16
0
0
0
8
8
8
0
0
0
16
16
16
16
16
8
16
16
16
16
10
10
10
10
1
0
0
1
32
8
8
16
16
16
16
16
0
0
0
0
1
1
0
8
8
8
8
8
8
8
1
0
0
17
9
9
8
8
4
8
8
8
20
20
16
8
8
32
0
0
0
8
8
8
0
0
0
0
8
8
8
16
22
6
6
22
4
0
0
16
25
8
8
25
25
25
8
24
1
1
8
16
16
8
8
1
1
1
8
8
8
16
16
16
16
16
16
16
16
16
16
32
16
16
4
0
16
16
0
2
2
2
4
4
4
16
0
0
0
0
8
8
8
8
8
8
0
0
0
0
0
0
0
1
1
8
16
0
49
3
0
1
1
8
8
0
8
8
8
8
8
0
1
16
16
2
22
0
0
0
16
16
16
16
16
1
1
0
0
0
0
4
16
16
16
8
8
8
8
8
4
4
4
12
8
32
8
0
1
1
1
1
1
0
8
0
8
8
2
3
20
20
8
8
2
2
32
46
1
1
16
2
2
6
8
0
0
0
8
10
10
0
16
8
24
8
8
8
0
8
8
0
16
16
16
16
16
16
16
20
20
16
0
0
32
45
45
4
8
2
4
4
4
4
0
0
16
16
16
16
8
8
20
0
0
0
0
0
0
8
8
8
8
8
8
0
0
0
0
0
0
0
16
16
16
16
4
4
4
8
0
0
2
2
2
0
0
8
4
16
0
1
1
1
1
1
0
8
8
8
24
24
0
0
0
0
0
0
0
1
1
8
1
33
32
32
16
32
32
32
0
4
8
16
16
16
16
4
2
16
16
16
0
0
0
0
28
16
16
16
8
16
8
8
8
4
0
24
16
16
0
0
0
16
4
0
0
1
8
8
8
8
8
8
8
8
8
8
8
8
8
4
4
4
4
32
32
32
8
8
8
16
16
16
16
1
1
1
1
16
8
8
8
8
8
8
8
21
1
32
4
5
4
4
4
12
0
0
0
4
1
1
0
8
8
1
1
0
0
0
8
16
4
4
4
2
0
1
1
8
8
8
24
16
16
8
2
2
8
8
8
0
8
8
8
8
8
1
1
2
2
2
16
16
16
16
0
8
8
48
48
0
8
8
8
16
16
8
4
4
16
16
16
16
16
16
16
17
0
0
0
0
0
0
8
8
8
8
8
16
16
16
2
2
2
2
2
2
2
2
8
8
16
16
8
16
16
16
24
1
0
0
0
0
0
0
0
0
0
16
8
4
4
4
4
4
4
4
8
8
16
16
16
16
16
24
16
16
8
8
8
32
32
32
1
2
2
2
16
16
8
8
0
1
1
1
1
1
8
8
8
8
8
32
8
16
16
16
2
0
0
0
40
0
0
0
0
1
1
1
1
24
32
36
0
4
24
4
0
4
4
22
0
16
16
16
16
16
16
1
16
16
16
16
2
2
2
17
16
16
16
8
8
8
2
2
2
1
1
1
1
16
8
0
2
0
0
0
0
8
5
5
9
9
8
8
0
0
8
8
8
8
8
8
8
8
8
20
20
20
1
1
1
0
0
0
16
16
16
16
2
2
2
8
8
8
8
8
0
16
16
16
16
8
30
30
12
8
8
16
16
16
16
8
0
24
24
24
24
24
2
5
2
2
14
16
16
12
8
8
8
8
8
4
4
4
4
4
4
0
18
4
0
0
2
0
8
8
8
8
8
8
8
8
1
1
16
17
17
17
17
1
16
0
0
0
0
6
8
0
1
5
16
16
0
0
0
0
0
8
0
8
0
24
24
0
0
0
0
12
12
2
0
0
0
8
4
9
9
9
8
8
0
0
4
16
4
12
0
0
0
0
8
8
8
8
16
16
0
0
28
28
0
0
0
24
4
8
8
8
16
18
16
4
4
16
16
16
12
12
16
0
0
0
1
1
4
1
0
0
0
0
0
8
8
16
16
17
1
16
17
17
17
16
0
16
18
32
32
32
32
0
0
0
8
16
0
16
8
20
8
8
0
0
0
8
4
4
8
4
8
0
8
0
0
0
0
0
32
8
8
4
4
8
16
16
16
16
16
16
16
16
16
16
16
0
8
0
0
16
8
0
0
16
16
16
16
8
0
0
0
0
32
32
16
16
16
8
16
8
56
0
0
8
8
4
4
4
4
16
4
0
8
8
4
0
0
0
0
0
52
52
52
52
52
52
52
52
52
52
0
8
8
8
24
8
16
16
16
16
16
16
16
16
0
0
16
16
16
16
16
1
8
8
1
1
1
1
0
32
4
4
4
8
28
0
0
0
0
0
1
9
1
1
4
4
4
4
1
1
1
1
8
16
16
1
33
1
1
2
2
16
16
16
4
0
0
0
0
0
9
9
8
12
4
1
1
0
8
16
0
0
0
0
0
8
8
8
4
0
0
4
2
2
2
2
2
2
18
18
10
10
10
16
0
16
1
1
0
0
16
16
1
16
17
4
8
8
8
8
9
1
1
8
8
0
0
0
8
32
32
2
0
0
0
8
8
1
1
16
0
0
8
4
4
4
0
0
0
0
16
0
52
52
16
16
16
0
0
0
2
20
10
10
10
10
1
1
0
16
16
16
16
0
18
18
0
0
0
0
32
16
16
8
8
8
16
16
16
16
16
24
16
1
1
1
1
8
8
8
0
0
0
2
2
8
8
12
12
32
32
32
16
16
16
16
1
33
32
24
24
0
16
16
16
0
6
6
4
16
8
8
32
0
0
0
0
0
0
0
16
1
0
0
0
0
0
0
9
9
0
0
0
8
8
8
16
16
17
8
8
40
32
8
8
16
0
0
16
8
8
8
8
3
3
16
16
16
16
16
8
8
0
1
1
1
1
8
10
8
1
32
0
0
0
0
0
4
0
0
0
0
16
8
16
16
0
0
16
16
16
16
0
0
8
8
16
1
0
4
4
24
24
2
8
8
1
13
16
16
16
8
8
8
2
1
8
8
8
8
0
16
16
16
16
3
3
1
8
0
8
0
0
0
16
0
0
0
5
3
8
8
8
8
8
8
8
8
0
2
2
16
16
16
16
16
32
32
4
4
4
1
16
8
36
0
8
24
24
8
8
0
0
0
0
8
8
25
4
4
4
0
8
8
24
24
10
10
4
4
4
12
8
8
8
0
0
4
4
8
8
8
8
16
1
1
1
8
2
16
0
8
20
20
0
0
8
16
1
17
17
17
1
4
0
0
0
2
27
2
12
12
0
0
0
0
0
0
0
8
8
8
8
8
8
8
8
8
0
0
32
17
16
0
0
0
16
16
4
4
8
8
8
8
8
4
4
1
1
8
1
1
1
8
16
8
48
16
16
16
0
4
4
4
8
8
16
16
16
8
4
4
4
4
8
8
8
33
32
32
0
8
8
8
0
0
0
0
0
0
16
16
16
16
16
16
16
8
8
8
1
12
16
1
16
8
8
16
16
16
8
16
16
16
0
16
16
8
8
0
8
4
12
4
8
20
32
32
16
16
16
8
4
1
1
8
1
1
0
16
16
16
8
24
16
8
40
0
0
0
0
0
0
8
8
8
0
0
4
25
25
25
8
8
8
8
0
0
8
8
0
8
0
0
0
0
0
0
0
4
4
4
0
20
20
0
8
8
8
4
4
16
8
8
0
0
0
0
0
8
8
8
8
8
0
13
13
13
16
17
16
2
2
32
32
0
0
0
1
8
16
26
16
3
3
8
40
0
0
0
0
0
0
32
8
8
16
17
0
0
0
2
2
0
16
12
8
8
0
0
1
1
8
0
32
25
25
25
24
1
17
8
8
8
8
8
0
24
24
24
1
8
8
8
8
9
9
9
9
9
8
8
0
0
8
16
8
1
2
0
8
8
8
8
8
8
16
16
24
24
24
24
24
48
16
1
1
1
38
24
0
0
8
8
4
4
4
4
4
4
4
8
8
8
16
16
16
16
16
16
16
1
8
4
4
4
4
2
0
0
8
8
2
2
2
4
4
0
0
0
0
1
1
0
4
16
20
8
0
16
16
16
16
8
8
16
16
8
8
8
0
16
16
3
3
3
8
4
16
16
1
32
0
8
8
4
4
4
4
8
4
8
16
8
32
32
32
8
16
0
2
48
8
16
16
2
0
16
16
8
8
8
8
8
8
8
0
0
0
0
0
0
0
8
8
8
0
16
16
8
9
9
0
0
0
8
16
16
16
16
16
16
16
8
8
8
8
16
16
1
8
8
24
8
4
0
0
16
16
8
8
8
4
0
8
8
24
8
8
8
8
56
32
32
16
0
8
16
24
4
8
8
8
0
0
0
24
24
24
2
12
12
8
1
1
1
1
2
2
0
0
0
4
4
20
20
20
4
4
4
20
20
0
17
17
8
0
8
8
8
8
2
2
2
8
24
8
14
14
14
14
14
0
1
8
1
1
1
16
32
32
32
16
16
24
8
8
8
8
16
0
8
8
16
0
8
8
8
0
0
0
0
0
0
0
0
2
2
2
2
0
0
0
1
1
1
1
0
0
0
5
5
0
8
16
4
4
0
8
8
0
0
0
8
8
16
4
4
0
16
11
11
11
11
1
1
1
0
8
0
8
8
8
1
16
16
57
16
8
8
8
8
8
8
16
2
2
2
8
16
0
0
0
16
16
16
16
1
1
0
4
8
8
8
8
8
8
0
16
16
8
8
8
24
24
24
16
16
16
16
16
0
0
16
0
8
12
0
8
0
8
8
8
0
0
0
16
16
0
0
2
2
16
16
16
0
16
16
16
16
0
8
8
8
8
8
8
8
0
0
0
10
10
0
4
16
16
16
1
8
0
8
16
16
20
0
0
0
16
8
20
16
16
16
16
16
4
4
4
4
4
32
14
2
4
0
56
16
24
16
16
8
8
8
8
8
32
32
8
8
0
0
0
0
0
16
16
2
2
2
2
8
10
16
16
16
16
16
16
16
16
0
0
0
8
8
16
29
29
8
16
16
16
1
0
0
0
0
8
8
28
12
0
2
2
2
8
8
8
8
8
0
0
8
0
24
8
25
0
8
16
0
16
16
16
16
16
16
16
16
16
0
0
0
16
0
0
0
0
0
1
20
8
2
16
16
16
24
0
16
8
8
32
32
8
8
0
2
8
8
8
8
8
8
40
40
40
40
40
40
40
40
19
19
2
2
2
2
24
8
16
8
16
16
16
17
17
0
0
3
3
18
8
8
16
16
16
0
0
0
0
16
16
16
16
16
0
16
2
18
24
24
24
26
0
8
0
1
1
32
0
0
8
4
12
12
1
1
1
1
1
1
2
24
16
0
1
1
0
0
8
0
8
8
24
0
0
0
8
0
0
0
2
32
1
1
16
8
8
18
18
4
0
0
0
8
8
8
4
4
24
16
40
8
8
8
0
0
0
0
0
0
0
24
16
24
16
8
8
36
16
16
16
16
33
33
32
16
8
2
2
16
24
16
16
16
0
0
1
1
1
8
0
0
0
24
24
0
24
24
24
0
24
0
0
0
8
0
0
0
30
22
4
4
4
8
2
2
2
8
0
24
24
24
24
8
8
8
8
8
8
16
0
0
0
8
8
8
1
1
1
8
8
46
46
0
0
0
0
16
16
8
8
16
8
8
8
16
8
16
16
16
17
0
8
8
40
40
40
8
0
0
0
0
8
8
0
0
0
0
0
16
16
2
2
16
16
1
28
4
4
26
26
0
0
16
1
16
16
4
4
4
16
16
16
16
0
0
8
0
0
0
32
8
0
0
0
0
20
16
16
0
8
8
8
2
2
16
16
2
2
2
2
2
2
8
24
8
40
40
40
0
0
8
8
16
4
4
4
4
8
2
2
2
2
2
2
1
1
3
0
0
20
20
20
16
0
0
0
16
17
32
32
1
1
1
1
0
16
0
16
2
16
16
4
8
8
8
8
8
8
8
1
1
8
32
8
16
8
0
4
4
0
16
0
8
8
12
8
0
9
9
9
9
8
8
32
0
0
32
32
0
1
8
8
8
8
8
8
20
8
0
0
0
0
0
0
4
4
4
4
8
1
1
0
0
0
8
16
16
16
16
8
8
24
16
20
8
4
12
17
17
17
17
17
16
16
16
16
16
2
2
0
0
16
16
16
0
0
0
2
2
2
2
2
1
0
0
0
0
0
8
0
0
12
12
0
4
0
0
0
0
0
0
16
16
8
8
8
0
32
0
0
0
0
0
0
0
8
0
0
0
20
8
0
8
1
1
1
8
8
4
4
40
0
0
0
0
0
32
8
8
6
0
0
0
0
8
8
8
16
8
8
8
8
8
17
17
16
16
8
8
0
0
8
16
0
0
0
2
2
1
1
1
1
8
8
8
8
8
8
8
8
8
1
1
1
16
16
16
16
16
16
0
8
8
8
8
8
24
1
8
8
0
0
0
8
4
4
4
8
8
8
40
0
0
0
0
16
0
0
8
16
2
2
8
8
8
8
8
0
0
1
1
1
1
1
16
16
8
8
8
8
22
16
2
16
24
24
24
24
24
24
24
16
16
0
16
16
16
16
8
8
8
8
16
16
0
12
16
8
8
8
16
16
16
16
16
16
16
8
8
0
0
0
0
8
25
0
0
0
0
0
2
2
8
0
2
2
2
24
24
24
8
0
8
8
8
8
8
8
4
4
0
0
0
57
1
1
16
0
2
0
0
0
0
16
16
1
8
0
0
2
2
16
1
0
8
12
8
8
9
8
1
1
1
0
8
8
8
8
4
3
4
0
16
16
0
0
4
1
8
0
8
24
16
8
16
8
0
0
0
0
0
0
0
8
8
4
4
4
8
0
4
8
8
8
8
4
4
4
1
16
8
8
8
8
16
16
16
16
16
16
8
8
8
8
8
4
0
0
0
8
8
8
8
0
0
16
8
8
8
8
1
8
8
8
8
12
8
1
1
8
8
1
1
3
0
8
0
3
0
8
8
8
8
2
16
1
1
8
0
0
0
8
8
8
8
32
32
8
8
8
16
16
16
16
16
16
8
8
16
0
0
2
2
8
8
2
16
0
0
0
0
16
24
24
24
8
8
8
8
8
8
1
1
1
1
1
0
8
8
1
20
16
16
16
0
0
0
0
0
8
8
8
0
1
1
1
0
0
32
32
32
32
32
24
24
24
16
16
16
16
8
8
8
0
16
33
33
8
8
8
8
16
0
4
6
0
1
1
8
8
8
2
2
2
8
8
8
0
0
16
20
16
16
16
1
0
24
24
8
2
2
35
32
16
16
0
2
16
24
8
8
16
16
0
0
16
8
16
32
16
32
32
0
0
0
0
16
16
0
1
0
0
0
0
3
3
8
24
0
16
8
8
4
17
0
0
16
16
16
8
4
0
16
0
8
16
16
24
2
2
0
0
16
16
0
16
16
16
16
12
8
4
4
4
4
8
8
8
2
2
2
2
1
56
16
8
8
8
1
1
1
9
8
8
16
16
16
1
9
2
2
2
8
8
8
8
8
0
6
6
8
1
1
1
8
16
8
8
8
8
8
0
32
4
4
4
16
16
16
16
20
20
20
0
0
8
8
8
8
0
0
24
16
16
16
16
8
8
8
16
16
29
13
13
13
16
16
16
16
16
0
8
32
32
16
8
8
8
8
16
16
16
16
16
16
16
8
8
8
1
0
8
8
8
16
16
16
16
16
0
0
0
0
0
0
0
8
8
8
8
8
8
1
1
14
16
14
14
8
8
8
8
16
33
32
50
1
1
8
8
8
4
8
8
8
8
0
0
1
1
1
1
8
1
8
8
8
32
32
32
0
0
0
8
1
1
1
4
4
8
33
1
0
0
16
16
1
1
1
1
1
8
16
24
8
0
1
21
21
4
16
20
25
1
16
32
32
1
0
8
0
0
0
8
8
8
8
8
8
8
0
8
0
1
1
1
1
8
8
0
16
8
16
24
24
24
24
1
1
40
56
0
12
0
4
4
4
0
20
0
8
0
0
1
1
16
16
8
4
0
8
16
8
8
8
2
2
8
8
8
18
18
18
18
18
18
1
4
0
8
8
0
16
56
56
56
8
0
8
8
0
0
0
24
24
2
2
2
1
1
1
32
32
32
32
16
16
16
16
0
16
16
16
16
4
4
4
4
4
20
4
4
4
4
4
4
16
16
16
16
2
2
2
8
0
20
0
2
8
0
0
0
0
2
2
4
4
17
17
16
16
16
16
16
4
4
16
8
32
0
0
16
16
16
16
2
2
8
0
0
0
9
9
2
16
0
0
16
8
8
8
8
8
8
8
16
16
16
16
16
8
8
0
9
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
16
2
42
42
0
0
0
0
0
0
0
0
0
0
0
0
0
16
2
17
17
0
8
8
0
0
0
0
0
0
0
1
0
0
0
0
0
2
2
9
9
9
9
9
0
0
0
0
1
0
0
8
8
8
8
17
17
8
8
8
8
0
0
1
1
1
0
0
0
0
0
16
16
16
0
18
16
16
16
8
0
0
8
8
8
8
0
0
0
16
16
0
0
0
8
2
2
4
16
16
16
0
10
10
20
20
32
24
24
24
8
24
8
1
1
8
1
0
0
0
8
16
16
0
0
4
4
4
1
1
16
16
18
20
16
20
20
0
0
2
2
2
2
0
0
2
2
8
8
8
8
8
8
8
8
16
16
16
0
0
40
40
8
1
8
1
1
1
1
1
16
16
49
0
20
4
8
16
16
16
16
16
16
0
16
8
8
8
8
0
0
0
0
0
0
1
1
16
16
16
16
2
28
1
17
1
1
8
16
24
1
1
1
16
16
0
24
8
0
0
0
12
8
8
2
8
24
1
16
32
32
32
0
0
8
32
16
0
0
8
8
8
8
8
0
16
16
16
0
24
24
24
12
4
4
4
4
16
8
0
0
0
16
16
0
0
0
32
16
32
8
8
8
4
49
0
0
0
16
0
0
0
0
0
8
8
8
8
16
0
0
0
8
8
48
48
48
48
0
8
8
8
8
1
1
0
0
0
8
16
16
16
16
17
0
0
16
16
58
0
0
0
0
16
16
19
19
19
16
8
8
24
0
0
0
0
16
16
16
16
16
16
0
0
32
32
1
1
0
18
2
0
0
0
4
16
16
4
16
0
0
0
16
16
16
8
8
2
2
2
2
2
32
8
8
24
24
8
8
8
8
8
8
8
8
1
8
8
8
44
0
4
1
1
1
0
16
16
1
0
32
32
1
16
16
8
8
8
8
8
8
8
8
8
8
8
1
1
1
1
8
8
20
20
28
8
8
8
8
4
3
3
3
16
18
18
26
18
21
4
4
8
8
0
0
0
0
16
16
16
8
17
8
1
0
0
0
0
16
16
16
32
32
32
0
0
16
4
4
0
0
0
8
8
8
1
1
1
1
1
8
32
32
32
32
8
8
8
0
1
20
0
0
0
16
0
16
8
16
16
16
16
0
8
8
16
20
0
0
0
16
16
16
16
16
16
8
8
8
2
2
2
2
8
8
0
16
16
4
0
0
16
16
8
0
0
1
8
0
0
9
2
24
24
8
8
16
16
16
2
16
16
16
16
0
0
0
8
8
8
16
16
16
8
1
1
0
16
2
1
1
1
4
16
0
32
32
32
32
16
16
16
16
16
0
0
0
0
16
0
0
0
0
0
16
0
0
4
4
4
8
8
4
4
0
26
26
0
1
4
4
1
8
8
1
0
0
8
2
2
8
8
8
0
0
16
16
1
0
0
0
0
0
0
0
0
0
0
0
25
8
1
1
1
0
16
16
16
16
2
0
0
8
8
17
17
1
1
0
0
8
8
8
9
8
18
18
1
16
16
16
16
0
0
8
8
8
8
0
0
1
1
0
0
8
8
24
16
16
4
2
2
2
2
2
2
1
1
8
16
8
8
0
0
32
33
32
32
32
32
8
8
16
8
3
3
3
2
2
2
2
2
0
34
0
8
0
0
8
8
24
16
16
16
4
16
16
0
0
8
16
59
8
8
8
8
8
8
24
24
1
33
1
9
9
8
4
8
56
0
0
8
8
8
26
26
8
8
8
1
1
16
8
8
8
2
2
16
16
1
8
8
8
9
0
0
0
0
8
3
16
20
16
16
16
8
16
2
9
0
0
8
1
4
19
19
0
6
0
8
8
8
8
16
24
24
24
24
24
4
0
16
56
56
0
0
8
0
8
0
0
0
0
8
1
1
16
8
0
0
8
8
16
16
32
8
0
40
8
0
0
50
50
50
50
50
50
50
8
16
16
4
2
16
17
1
24
24
16
16
16
16
16
2
2
2
32
21
16
1
8
8
8
16
16
16
16
16
16
16
16
16
16
0
0
16
16
2
19
19
19
19
19
19
0
8
8
8
4
8
20
20
8
8
8
8
8
8
8
8
16
0
8
8
16
8
8
8
16
16
0
0
39
39
0
0
0
0
16
16
21
0
1
0
28
8
8
8
8
8
16
16
16
16
16
8
0
0
0
0
1
16
16
8
8
16
16
16
8
8
0
8
8
8
16
16
16
16
8
4
4
4
4
16
16
16
8
3
2
16
16
28
1
1
26
10
16
26
0
24
8
8
1
1
2
0
20
20
16
16
24
24
24
16
16
16
16
0
0
8
0
0
0
0
0
0
16
8
0
0
0
4
4
4
4
4
4
8
9
8
0
8
1
1
1
8
16
16
16
24
16
24
26
8
8
8
16
8
24
24
2
8
16
16
8
8
8
16
16
7
1
1
1
1
1
1
4
25
4
8
8
8
8
8
8
4
1
16
16
8
8
8
8
8
8
8
23
20
20
16
8
8
8
8
8
8
48
48
4
4
4
29
5
1
1
1
3
3
3
0
0
2
2
4
1
1
1
1
1
1
1
1
1
8
8
8
8
8
8
16
2
8
8
0
16
0
0
0
0
8
8
8
1
0
2
2
2
0
8
8
8
24
24
24
0
0
0
0
0
8
16
16
16
16
0
17
9
1
20
20
24
24
0
8
8
8
24
8
8
8
8
8
32
32
32
28
28
8
8
8
0
8
8
16
8
0
0
1
1
4
1
1
1
2
2
2
16
0
0
0
8
0
0
0
2
2
8
8
8
8
8
8
25
25
8
8
4
12
9
1
8
8
24
0
0
0
0
0
0
16
4
4
4
8
8
8
12
16
8
0
4
4
4
33
33
33
33
16
24
24
24
24
24
24
8
0
8
6
2
24
0
6
8
8
8
8
8
8
8
8
8
24
0
1
1
16
16
16
32
8
8
8
8
16
8
8
8
8
8
8
8
0
0
0
8
1
8
8
0
8
4
4
1
0
0
0
8
0
8
8
8
8
8
8
24
16
16
16
16
0
0
0
0
0
16
16
1
1
1
2
17
8
8
52
8
52
16
0
0
0
8
16
16
8
8
8
0
0
0
16
0
0
0
16
0
0
0
1
25
16
16
8
0
16
16
13
13
8
8
8
8
1
0
8
8
8
8
8
8
8
0
0
8
8
8
8
8
8
0
16
28
28
32
40
32
32
32
32
32
32
4
4
4
4
4
1
1
8
0
0
0
16
0
0
0
0
0
0
32
32
32
32
8
8
8
2
2
2
2
2
2
2
2
2
2
2
2
0
0
16
16
16
16
16
0
8
8
0
16
16
8
4
4
4
4
4
9
8
8
8
14
14
16
0
0
4
4
4
4
4
4
0
8
8
8
46
0
8
8
16
0
0
0
0
2
2
2
2
2
0
0
0
8
8
8
8
8
8
8
16
16
16
8
8
8
8
16
8
8
8
8
1
1
1
1
0
16
8
8
8
0
16
8
0
0
0
0
0
16
8
8
0
0
8
8
8
8
0
0
0
0
4
4
4
4
4
0
4
4
16
0
28
4
4
8
8
8
20
20
20
0
0
32
0
0
16
16
2
2
2
16
16
16
16
16
16
1
1
1
1
8
0
20
0
0
0
0
0
0
2
2
8
8
4
4
18
18
16
16
16
16
16
16
16
8
8
0
0
0
8
24
24
0
0
22
0
8
8
8
32
48
48
0
0
8
8
8
8
8
1
1
1
1
1
1
4
4
4
4
8
8
8
4
4
4
4
4
4
4
4
4
4
0
8
8
8
8
16
8
8
8
48
0
8
8
0
16
16
2
2
2
2
2
2
0
32
32
8
8
8
36
4
4
4
4
4
4
0
0
32
32
32
32
32
2
16
8
8
4
4
16
16
16
16
28
28
28
8
8
8
16
24
8
8
16
0
0
16
16
16
0
1
1
1
1
0
0
0
4
2
2
2
1
1
1
1
0
0
0
0
0
8
6
4
4
4
4
4
4
4
0
0
0
16
16
8
8
8
8
8
16
16
16
28
16
1
18
16
32
0
40
40
16
16
16
8
8
16
16
16
8
8
8
8
8
17
16
3
0
16
16
16
16
16
16
0
0
0
0
2
2
2
4
0
0
0
2
0
0
16
16
8
8
8
0
8
8
8
24
16
16
0
0
0
0
16
16
16
16
0
0
4
4
4
4
8
17
17
4
12
17
1
1
0
1
1
1
16
16
16
16
16
16
8
8
8
8
8
8
0
0
32
32
0
8
8
24
8
8
8
8
2
2
2
2
2
8
8
25
25
25
16
0
0
35
35
35
2
2
2
32
32
32
32
8
8
16
16
16
8
32
8
32
32
32
32
8
0
0
0
0
8
8
8
0
0
8
0
16
8
8
18
2
2
0
4
4
0
0
16
16
16
16
8
0
1
8
0
4
4
4
0
0
0
0
16
16
16
8
8
8
0
16
16
1
2
1
0
0
0
8
8
8
0
16
16
16
16
16
8
8
8
0
16
24
8
8
16
2
2
0
0
8
8
4
20
16
16
16
16
16
16
16
16
8
8
8
8
32
32
32
9
2
2
0
0
0
0
0
2
2
2
2
2
2
0
33
8
0
0
2
16
16
16
16
24
16
32
32
1
8
12
8
8
8
9
8
8
0
8
1
1
1
1
1
0
0
0
0
16
0
0
0
0
0
0
16
0
0
0
8
4
4
4
4
0
9
9
9
8
28
28
8
20
0
0
0
0
0
0
0
0
8
8
8
8
8
16
16
16
8
0
0
0
0
0
16
16
16
16
0
0
0
0
16
16
16
16
16
16
16
16
2
0
8
8
8
8
8
0
0
0
8
2
2
2
2
8
0
8
8
8
8
8
8
8
8
8
8
2
8
8
0
2
4
0
32
32
8
0
0
8
8
8
8
8
8
1
1
0
0
0
0
0
1
8
8
8
4
4
8
0
0
0
9
8
8
8
8
0
0
0
0
0
0
24
8
0
4
4
4
0
0
8
8
8
16
17
16
16
16
16
16
4
0
0
0
0
0
8
8
16
16
16
16
16
8
8
10
8
24
16
16
52
52
9
25
25
1
16
16
16
0
8
8
8
8
8
8
8
8
8
49
8
4
4
10
10
2
1
0
0
8
1
16
16
16
0
4
4
4
4
4
24
8
16
16
32
32
32
32
32
32
8
1
1
0
8
16
27
0
16
16
16
16
16
0
0
0
16
8
8
8
8
4
4
8
4
8
0
21
17
17
16
16
32
32
20
0
16
16
16
16
20
16
16
0
8
16
16
16
16
16
1
0
8
8
18
18
4
4
0
0
16
16
16
0
0
8
8
4
0
8
8
0
32
4
26
26
0
8
0
0
0
0
0
0
6
6
6
6
0
0
0
0
16
8
8
9
8
10
8
16
8
8
8
8
8
0
8
0
0
0
2
16
16
16
4
4
4
8
8
4
0
0
0
10
8
0
4
4
16
24
24
24
8
8
8
8
16
1
2
2
20
1
1
8
0
0
8
8
8
8
8
16
16
16
16
16
12
12
16
16
8
1
16
16
16
16
16
16
8
16
17
16
4
1
5
8
1
1
1
40
32
0
0
0
8
8
8
8
8
42
42
8
8
8
8
8
0
0
1
1
1
1
0
0
0
0
0
0
0
16
16
16
8
8
8
8
8
8
8
8
1
1
1
1
1
0
2
2
8
8
8
8
8
8
8
8
2
2
24
16
16
24
0
8
0
28
0
0
0
6
6
16
16
16
8
17
1
0
0
8
24
24
24
8
8
16
16
32
32
1
8
8
0
0
0
0
0
8
16
16
16
0
0
0
0
0
0
0
16
16
8
16
16
8
8
0
0
0
0
0
40
8
0
0
8
8
16
16
16
0
0
4
4
4
4
4
16
16
0
0
2
0
0
0
0
9
9
8
8
8
32
4
1
1
0
32
32
32
32
8
4
16
8
0
16
1
0
16
0
0
28
8
0
0
0
4
8
8
16
16
16
8
8
8
8
0
8
2
16
16
26
8
0
0
0
8
8
8
8
8
8
16
16
16
16
16
2
16
16
4
0
8
8
8
8
3
3
2
2
42
42
16
4
4
8
16
16
4
4
0
9
9
9
22
3
1
1
40
4
0
4
8
8
8
8
1
16
16
0
0
0
8
16
16
16
16
1
1
0
16
16
16
9
9
16
8
0
0
0
8
16
2
32
16
0
0
0
0
0
0
0
0
0
0
0
0
0
32
32
0
0
0
0
2
2
8
0
2
3
4
1
1
1
8
4
8
8
8
16
16
16
2
2
8
8
8
8
8
2
2
56
56
2
2
2
16
16
16
16
16
16
16
16
16
2
2
18
16
8
16
4
2
2
0
24
8
8
0
8
0
16
4
4
0
0
16
4
0
0
0
0
0
0
0
1
1
8
1
0
0
16
16
16
16
16
32
8
8
8
8
16
32
32
0
0
0
4
4
4
16
16
16
24
16
16
4
4
4
0
8
8
8
8
8
16
0
2
2
2
2
2
8
0
0
16
8
8
24
24
16
16
16
16
0
16
1
16
18
16
16
16
16
16
16
4
39
1
56
8
8
8
0
4
16
33
32
8
8
4
4
0
0
0
0
0
0
0
0
0
16
16
16
4
4
4
0
0
0
0
0
0
0
0
0
0
8
10
0
0
0
16
8
0
0
0
8
16
0
0
8
8
0
0
8
4
4
0
8
16
16
16
4
4
24
8
16
16
16
8
8
16
1
1
1
56
32
32
32
32
0
4
4
4
4
4
24
32
32
32
32
2
2
24
24
24
24
24
24
24
24
16
16
0
0
8
0
0
0
16
0
0
16
8
0
16
4
4
4
4
4
0
0
8
8
8
0
11
11
11
1
17
0
0
0
0
16
16
16
16
8
8
16
16
16
16
16
16
16
1
1
1
2
8
49
8
16
16
16
16
8
8
8
0
8
8
8
8
8
8
8
8
16
16
8
8
8
8
8
8
8
8
8
8
8
8
0
25
16
0
0
0
0
0
0
16
16
16
8
8
8
8
8
8
0
8
8
0
0
16
16
8
8
2
2
0
0
16
16
16
16
16
16
16
0
0
2
6
0
8
8
8
8
0
22
16
16
2
0
0
0
16
8
32
17
16
16
16
16
18
18
8
0
0
8
8
0
8
8
8
8
8
8
0
1
40
24
24
8
8
8
8
8
0
0
9
9
9
0
4
4
24
24
0
8
8
8
5
37
2
2
2
0
0
4
2
0
4
4
11
0
8
0
8
8
8
8
16
16
0
0
0
0
0
6
24
8
16
16
16
16
16
16
16
2
2
4
4
4
8
8
8
8
0
8
8
8
8
8
16
8
20
20
1
8
8
16
16
16
18
1
8
12
4
8
8
0
0
0
8
2
2
2
0
16
16
16
16
8
8
2
2
24
20
8
2
2
0
16
16
16
16
16
16
16
16
9
9
16
8
8
8
8
8
8
8
8
8
32
2
2
0
0
0
0
0
4
4
4
4
4
0
8
24
16
17
17
16
16
2
16
8
8
16
16
0
0
4
4
1
1
1
2
2
2
4
16
0
29
29
29
24
32
0
0
0
1
1
1
1
1
16
16
16
16
16
16
2
16
16
16
0
0
0
16
16
16
40
28
12
12
8
24
24
8
16
0
8
8
0
1
9
8
8
8
8
8
8
8
8
16
16
0
0
8
16
16
16
0
0
0
0
9
8
8
24
8
8
8
0
7
4
4
0
0
8
0
0
0
16
16
4
0
0
4
8
0
4
4
4
0
0
0
0
4
1
32
32
8
8
8
12
12
12
0
0
8
24
0
17
17
17
17
16
16
0
0
0
56
0
0
0
8
8
8
16
8
8
8
16
16
32
32
32
1
1
8
0
1
1
32
4
4
4
4
0
8
8
0
0
0
0
0
0
8
8
34
8
8
8
0
0
0
0
0
0
0
1
24
0
0
0
4
4
4
26
24
8
0
0
0
0
2
2
0
16
8
8
8
8
8
8
8
4
4
4
4
28
28
28
8
8
8
4
4
4
4
8
8
0
1
1
1
16
16
16
1
1
1
1
1
1
1
8
8
8
16
0
0
0
0
0
1
1
0
8
8
0
2
8
8
8
4
5
17
17
17
0
0
0
0
8
4
4
0
0
0
0
0
0
0
0
0
4
8
0
8
8
1
1
8
8
8
8
8
8
8
4
1
2
2
2
2
2
2
16
16
0
0
24
8
0
16
16
16
16
16
8
8
8
8
4
4
8
0
0
0
40
32
32
22
5
5
5
8
8
16
16
16
0
8
8
1
17
17
0
0
8
0
16
16
16
0
2
2
2
2
2
48
48
0
8
8
4
16
2
8
8
16
4
4
8
8
8
8
8
20
1
16
4
0
8
8
1
1
1
0
1
1
1
8
8
8
1
16
16
0
8
8
24
24
8
8
8
4
4
4
4
4
5
5
5
5
5
2
2
2
1
16
16
16
0
8
8
4
4
4
0
0
8
8
8
8
8
8
8
8
8
8
8
2
8
0
8
8
8
16
0
16
16
16
34
34
8
8
8
0
16
16
16
16
16
16
16
16
16
16
16
16
16
0
16
26
0
16
16
8
8
8
8
8
0
16
2
16
16
16
32
8
8
8
8
8
8
0
8
0
8
8
8
4
8
0
8
0
0
0
0
16
4
0
14
14
14
14
0
0
0
8
8
8
24
2
2
16
0
4
36
36
0
1
1
16
8
8
16
16
16
0
16
16
0
0
32
32
32
32
0
8
8
8
1
8
8
8
8
16
16
4
4
0
0
0
19
0
8
8
0
4
0
0
8
32
32
8
8
8
4
5
8
16
16
4
0
16
1
52
2
1
24
32
4
4
16
16
16
16
8
1
1
8
8
0
4
8
8
8
8
0
2
8
24
24
24
24
42
0
8
16
16
16
16
8
8
0
0
0
16
16
2
1
16
16
8
16
24
33
8
0
0
16
16
16
8
0
16
8
8
16
16
16
8
8
8
16
16
9
16
16
16
16
16
16
16
16
2
8
0
8
0
16
16
20
20
0
0
0
16
16
16
16
16
8
1
1
1
1
1
1
1
1
1
4
32
16
16
16
16
16
0
0
0
0
0
0
0
0
0
0
16
4
4
8
8
8
8
8
8
8
8
8
8
0
8
8
0
8
8
1
1
1
16
16
9
16
0
0
0
0
16
0
9
0
0
8
24
16
16
24
12
12
12
1
1
1
8
0
0
0
1
0
0
0
4
4
12
8
8
8
0
16
16
16
16
21
21
21
0
0
12
12
0
0
0
8
24
24
43
8
8
8
16
16
16
16
16
1
8
8
8
8
1
0
0
0
8
8
16
16
0
0
0
16
16
16
8
8
16
16
16
8
8
8
8
8
16
0
0
0
0
24
4
8
8
8
8
0
0
8
8
8
4
4
4
8
8
2
8
0
0
0
8
8
0
0
0
0
0
0
0
8
8
8
8
8
2
2
0
0
8
8
16
0
16
16
16
8
8
16
16
16
16
16
1
16
0
8
8
0
0
2
8
16
4
4
0
0
0
0
8
8
8
0
0
0
0
0
4
32
32
2
4
0
25
25
16
16
16
16
16
0
2
2
2
16
16
16
16
32
40
42
40
4
4
16
0
9
8
8
4
16
16
2
16
0
8
0
0
0
0
0
0
8
8
8
16
16
24
24
4
4
4
4
4
4
4
16
0
0
0
0
0
16
1
16
8
0
0
4
8
32
8
8
8
8
8
16
16
0
0
16
8
32
8
49
49
49
49
49
0
0
8
8
8
8
0
8
2
8
1
0
0
24
24
1
2
34
2
0
0
16
16
16
16
8
16
0
21
16
16
16
16
16
16
0
0
0
0
8
25
10
10
8
8
0
0
0
0
0
12
8
16
16
16
16
16
8
0
16
0
0
8
8
8
2
2
2
8
8
8
8
0
20
8
8
0
8
8
8
8
32
40
8
8
0
16
16
8
8
16
16
16
16
16
16
16
8
8
8
8
8
8
16
8
8
8
8
8
8
8
4
4
4
24
24
24
4
0
1
1
1
0
0
8
8
8
8
8
8
8
8
0
0
10
10
12
16
25
25
8
8
33
0
16
16
0
1
1
1
1
16
16
8
2
8
8
8
8
8
8
8
8
8
8
6
6
6
6
6
6
6
2
2
2
2
14
4
4
8
0
1
16
4
0
0
0
0
0
32
8
16
1
1
1
1
1
0
16
1
1
1
1
8
8
9
9
1
1
0
0
0
0
0
0
32
32
8
8
8
4
4
8
36
8
8
0
0
2
0
0
0
0
0
8
8
8
8
1
16
0
0
8
8
20
8
8
8
8
8
16
4
20
32
32
32
8
8
1
32
32
8
8
32
8
1
8
8
8
8
40
16
16
1
1
0
0
0
0
24
4
0
0
0
8
8
8
0
1
1
0
16
16
0
0
16
2
0
16
0
0
12
8
8
16
16
16
25
16
16
16
16
1
8
0
0
0
12
8
8
8
16
8
8
8
8
8
8
16
24
4
4
4
16
16
16
8
0
4
1
1
1
8
8
8
8
16
16
8
8
8
8
8
17
17
0
0
8
8
8
8
8
32
32
32
16
17
17
3
8
16
16
8
0
0
0
2
2
2
8
8
32
32
32
0
0
0
4
4
8
8
8
8
8
0
0
0
0
0
0
0
0
8
0
0
0
0
8
16
16
16
8
8
8
8
8
8
8
8
8
19
8
32
32
8
8
8
1
8
16
16
16
32
32
8
8
8
8
25
4
8
8
8
1
1
8
8
0
16
9
0
0
4
4
32
0
2
2
16
16
0
8
16
16
16
16
0
0
8
6
17
8
8
8
8
16
17
8
8
8
8
0
2
2
2
2
0
0
0
0
0
8
8
8
8
8
8
8
8
1
1
33
33
4
4
4
4
4
16
3
8
16
8
8
8
8
8
0
0
8
8
8
8
8
8
2
0
4
4
24
32
16
2
0
16
16
6
6
8
8
7
7
8
1
8
1
1
0
0
18
16
18
18
0
0
16
4
0
18
18
18
0
16
16
16
16
16
16
1
16
16
16
24
8
24
8
16
4
2
16
16
16
8
8
16
0
0
48
24
2
2
2
2
2
8
0
0
0
0
0
0
0
23
0
8
8
8
0
0
0
0
0
0
0
4
4
4
4
4
5
4
8
8
16
0
0
4
4
4
8
8
8
8
8
8
8
8
8
17
8
1
8
8
3
2
3
5
1
8
8
8
8
0
0
0
8
4
12
4
4
4
16
16
16
16
16
16
8
8
0
16
12
12
12
8
0
2
2
2
2
0
0
0
8
8
0
0
0
0
0
0
0
0
0
8
0
16
0
8
8
0
0
0
0
0
0
0
16
16
16
16
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
1
1
8
20
4
0
4
4
12
12
0
0
0
0
8
8
8
0
0
8
8
8
2
8
33
33
33
17
0
8
8
8
0
0
0
50
1
1
1
32
48
0
0
36
36
36
16
8
16
2
0
16
4
4
0
8
8
4
8
16
1
32
32
32
1
1
1
8
32
4
4
16
16
16
2
2
2
16
8
9
13
13
13
13
13
13
8
8
8
8
8
0
16
16
8
8
24
0
0
0
0
24
8
8
0
8
8
8
16
8
2
2
18
8
2
2
2
2
2
8
8
16
16
16
16
16
16
8
8
8
0
16
0
0
16
16
16
0
0
0
0
8
56
4
16
16
16
0
16
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
0
0
0
1
1
1
1
2
8
8
1
1
0
16
16
8
8
0
0
0
0
0
0
16
0
8
8
8
8
8
16
16
16
16
16
0
8
0
0
0
0
0
0
8
8
24
0
17
2
16
16
16
8
8
8
8
8
8
8
8
8
8
0
0
4
8
8
2
8
0
0
0
0
0
8
8
8
8
12
12
12
12
12
0
1
16
17
0
0
32
33
16
0
0
49
49
12
12
12
12
12
24
24
24
24
16
8
32
8
25
25
25
25
25
16
4
16
2
2
2
8
8
0
3
3
0
0
0
0
16
16
16
16
24
24
24
16
0
0
0
0
16
16
8
2
2
16
16
16
0
20
0
0
8
0
0
0
0
16
16
16
8
8
8
16
16
16
24
24
1
4
16
16
57
8
8
16
0
8
8
8
0
16
20
20
8
8
8
0
4
20
0
0
8
0
0
39
39
39
39
39
16
16
8
8
8
16
40
40
40
0
9
0
8
16
20
0
16
0
8
0
1
28
16
16
6
6
6
6
1
1
1
2
2
20
20
10
10
10
10
0
0
1
1
32
32
32
32
40
8
16
16
16
16
8
8
1
0
0
0
0
16
2
20
4
16
8
0
32
6
6
2
16
16
16
16
16
48
48
48
0
0
0
0
16
16
0
0
2
8
24
16
2
16
24
0
28
16
16
8
8
8
8
8
8
0
0
8
8
8
8
8
8
8
0
0
8
0
0
0
0
50
0
1
1
1
16
0
8
16
16
0
41
8
0
0
0
17
16
16
8
0
0
0
0
0
16
16
0
0
4
16
16
16
16
16
16
8
0
0
0
0
0
8
8
0
0
1
1
25
17
8
16
16
16
16
16
4
16
16
16
16
16
20
16
16
17
17
17
16
16
16
0
16
16
16
0
8
0
0
16
32
32
32
32
32
32
14
14
14
4
4
16
16
16
16
0
0
0
0
20
20
4
16
16
16
16
16
8
8
8
8
8
8
16
4
4
16
16
0
1
33
1
0
16
16
16
16
16
8
8
8
8
16
5
5
5
5
5
1
4
8
8
8
16
16
16
16
8
8
0
0
8
8
8
6
0
0
4
9
0
0
16
1
8
8
8
4
4
4
4
1
2
2
0
0
0
0
0
5
5
5
60
4
8
8
40
40
40
3
32
16
8
10
2
8
8
8
0
8
0
12
12
12
12
8
12
0
0
0
4
4
4
0
0
0
0
8
0
0
9
1
0
16
16
2
2
2
9
9
9
9
0
0
16
16
16
16
1
0
0
8
0
16
16
16
8
8
24
24
24
0
0
0
0
4
4
4
4
16
2
2
16
0
0
0
0
0
0
0
8
8
8
8
0
0
8
8
24
4
0
0
8
1
18
8
1
1
8
8
49
49
0
8
8
8
8
8
8
8
8
1
8
8
0
0
8
8
16
0
0
0
0
0
8
8
0
0
8
16
16
16
36
4
4
2
2
2
2
4
4
4
4
4
24
24
24
1
5
0
0
0
0
0
0
16
8
8
8
0
0
0
17
0
16
16
16
16
0
0
0
8
16
16
0
0
16
16
16
4
4
2
16
16
16
16
8
0
0
24
24
0
0
0
0
8
8
8
8
8
4
8
8
8
4
8
0
8
1
1
8
20
0
16
0
8
32
32
8
4
0
0
0
16
1
1
0
0
0
0
8
1
1
1
8
8
8
8
8
8
8
0
8
16
16
16
8
8
8
16
4
4
32
0
0
0
0
0
16
0
8
8
8
8
8
8
8
8
16
0
16
16
37
1
1
0
0
8
0
0
0
8
8
16
16
16
4
0
0
2
8
8
1
8
8
8
16
0
0
8
24
24
4
32
32
16
16
1
1
26
8
16
16
16
16
16
16
16
24
24
24
0
8
8
0
0
16
16
16
16
16
0
0
4
4
4
2
2
0
0
0
0
16
16
16
16
0
0
1
8
32
32
0
0
0
2
49
49
0
16
16
32
32
32
24
24
24
0
4
4
16
16
16
16
16
16
0
8
8
0
0
0
0
0
0
0
8
8
24
1
1
0
0
32
0
8
8
8
0
0
8
8
8
8
8
8
8
16
16
16
16
16
16
16
12
0
0
12
1
4
27
24
8
8
8
8
8
8
8
40
0
8
8
8
16
40
8
8
8
8
8
8
0
16
16
8
0
9
49
8
8
0
24
8
8
0
0
0
8
16
16
10
10
4
8
8
4
8
20
20
16
16
16
0
0
0
16
16
16
8
16
0
8
8
8
4
8
20
20
8
8
8
8
8
8
1
1
1
1
1
0
0
1
1
1
16
16
8
8
8
8
8
8
8
2
8
8
1
1
1
16
16
0
0
0
0
0
0
8
8
8
8
16
16
16
16
0
0
4
8
8
8
8
8
0
8
8
8
8
24
24
8
8
8
8
8
0
8
8
16
16
16
1
0
0
12
12
12
0
0
8
8
8
8
16
28
16
16
16
8
8
8
8
8
8
8
19
0
0
2
2
2
0
2
2
16
0
0
0
0
0
2
0
8
8
8
8
18
2
8
8
8
8
0
0
0
0
16
16
24
24
16
16
8
24
0
4
16
16
16
0
0
2
0
0
16
6
4
4
4
4
4
0
2
2
2
40
40
1
1
16
16
26
16
17
0
8
4
8
1
1
1
1
1
1
0
0
0
16
16
16
1
16
16
8
1
1
1
4
4
16
16
2
2
2
16
8
8
8
2
24
0
0
0
0
0
4
4
0
0
16
16
28
28
28
28
28
16
16
24
24
0
4
8
8
0
12
8
8
8
8
0
0
20
0
8
0
8
8
8
0
0
0
17
17
0
1
8
32
24
24
0
0
0
0
0
0
0
0
0
0
8
8
0
1
17
17
16
16
16
16
16
16
8
16
16
16
16
16
0
4
0
16
8
0
1
1
1
0
0
8
8
16
16
16
16
1
8
0
0
0
0
0
8
8
0
4
16
16
0
48
32
10
20
20
8
2
8
8
8
0
26
8
8
16
16
16
17
30
8
4
0
8
4
4
4
4
8
8
4
8
4
4
1
1
1
1
0
4
24
8
16
0
2
2
0
1
1
1
1
1
1
20
8
8
16
1
8
8
0
0
4
4
4
4
4
4
4
4
4
4
4
4
16
8
8
3
1
20
0
0
0
0
12
8
0
0
0
4
4
0
0
0
0
0
0
8
16
0
0
16
16
16
8
8
8
8
0
0
0
0
0
8
4
4
4
4
4
24
40
1
1
8
0
0
17
17
32
32
4
1
1
1
0
0
16
16
0
0
23
23
0
16
16
8
8
16
16
16
16
16
8
8
12
26
26
16
16
16
8
8
8
8
8
0
0
0
8
8
16
16
16
16
16
9
9
9
9
9
10
10
10
16
16
2
2
2
0
2
2
2
0
20
20
2
2
2
36
52
8
2
6
8
16
16
0
4
4
0
26
8
16
16
4
4
16
0
0
16
16
32
32
8
8
0
0
32
8
0
0
8
4
8
8
2
2
2
2
2
1
12
4
4
4
4
4
4
4
4
4
16
0
16
16
16
14
8
8
8
8
40
8
8
8
8
16
16
8
8
8
8
8
35
35
8
0
0
0
0
16
16
16
8
0
4
4
0
8
0
2
4
8
24
24
1
1
1
16
16
16
16
16
20
20
16
5
5
5
5
16
16
16
16
16
0
0
0
8
16
16
16
0
8
8
8
8
2
16
16
16
1
0
0
0
1
1
0
0
0
0
32
32
8
8
0
0
0
1
1
0
17
17
17
17
40
40
40
40
40
8
0
0
32
0
1
9
8
24
32
0
8
8
8
8
8
8
4
4
16
8
24
8
8
8
8
17
16
16
0
0
0
0
16
24
16
16
16
16
16
16
16
16
8
8
16
16
8
8
0
0
0
16
16
16
16
4
4
16
16
16
16
8
16
48
48
4
8
8
8
8
8
8
17
4
4
6
8
16
16
0
0
8
8
16
16
8
0
2
2
8
0
16
16
16
0
0
0
0
0
0
8
8
0
8
16
16
16
16
16
16
0
8
8
8
8
8
48
48
57
57
16
16
16
8
8
8
24
16
36
36
36
36
36
8
8
3
3
3
0
32
8
9
1
32
32
4
28
2
16
16
16
16
24
24
1
1
16
16
4
0
16
16
16
18
18
8
8
8
8
8
8
8
8
12
12
12
16
16
16
16
16
4
0
24
4
4
4
0
0
0
8
24
24
24
24
8
0
0
0
0
8
8
8
8
8
8
8
8
8
2
2
8
8
8
0
2
6
8
8
8
8
8
4
2
0
4
2
0
0
0
0
0
0
0
8
8
8
8
8
0
16
16
8
16
0
0
40
40
48
48
48
16
16
16
8
32
32
32
16
0
4
16
16
16
1
16
16
24
1
2
1
16
16
16
16
0
0
0
16
16
0
0
0
0
0
2
2
2
0
8
8
16
6
0
0
8
8
0
0
0
0
4
16
16
16
16
16
4
16
16
3
32
8
8
8
8
8
8
8
8
8
16
16
0
4
4
4
8
4
4
4
4
4
2
2
8
8
8
8
16
4
4
16
16
16
1
16
16
16
8
8
4
4
0
0
8
8
8
16
16
8
8
8
1
1
16
16
16
8
8
0
8
8
8
8
0
1
1
0
1
8
16
16
0
0
8
8
8
0
0
1
2
2
2
2
2
0
4
4
4
16
16
16
16
16
0
0
4
32
32
32
8
8
16
0
24
24
8
8
8
0
16
0
2
2
2
2
8
8
8
32
32
8
8
16
16
8
4
4
8
8
0
0
1
32
32
1
1
1
24
8
8
8
8
0
0
0
0
0
0
0
32
32
32
32
32
0
16
0
16
1
1
16
1
1
16
16
16
16
8
2
16
16
16
2
2
2
2
0
0
16
16
16
2
2
0
0
0
0
0
26
26
26
26
0
8
8
8
8
1
0
4
4
0
0
0
16
16
0
4
4
0
0
8
8
8
0
0
0
0
0
8
24
24
16
16
16
16
16
16
16
2
2
18
18
18
8
9
1
25
1
1
8
1
1
1
1
0
0
0
0
4
28
8
0
0
16
0
8
8
0
1
1
1
24
24
24
0
0
0
0
4
0
0
20
8
8
8
0
0
1
1
16
16
16
8
8
20
4
4
8
8
8
16
16
16
16
16
16
16
16
8
8
8
8
8
1
1
4
4
0
0
0
0
0
0
0
8
10
10
16
16
16
16
0
0
0
0
16
2
18
2
2
17
0
0
0
8
8
8
8
8
8
16
0
8
8
8
8
8
8
2
2
2
2
2
16
16
16
16
8
8
8
8
8
16
0
0
0
0
24
2
2
2
8
0
0
0
8
0
8
8
8
8
8
0
16
8
1
24
24
24
1
1
8
16
8
8
8
16
24
1
2
2
2
2
0
0
0
0
17
17
17
17
57
57
49
2
8
8
0
0
0
16
16
0
8
8
1
2
2
2
2
0
0
2
4
8
4
5
4
4
0
0
0
1
1
1
1
1
4
0
1
1
1
1
1
1
0
0
1
1
1
8
12
1
1
1
1
0
0
0
0
0
16
16
16
16
1
1
0
40
1
1
1
2
0
0
10
10
32
8
1
1
0
8
0
4
4
16
0
4
8
2
2
2
16
8
6
8
8
8
8
8
8
8
17
16
16
16
16
16
16
16
8
1
0
16
16
0
2
2
0
0
0
16
4
8
0
0
1
16
16
16
16
16
0
0
1
1
1
0
0
0
0
20
0
8
4
24
24
24
8
8
8
25
25
8
12
8
1
1
8
8
1
16
16
16
16
8
4
0
30
14
8
8
0
8
8
8
1
16
16
0
32
2
0
8
0
0
8
8
8
1
16
0
16
16
16
24
16
16
8
8
0
16
8
0
0
0
0
16
8
8
4
0
0
8
16
0
16
16
16
16
16
4
0
0
0
9
8
8
24
0
0
0
0
0
1
1
1
16
16
16
0
0
0
8
8
8
2
0
36
36
2
2
2
2
16
44
44
0
12
4
4
8
8
8
8
2
2
2
8
16
16
8
8
8
8
16
0
16
16
4
0
8
3
3
3
3
0
0
0
8
4
4
32
0
3
16
4
32
16
16
0
16
20
8
1
1
1
1
1
9
9
8
8
8
0
0
0
8
0
17
17
20
0
0
0
0
8
1
1
1
1
1
1
1
0
4
4
1
1
0
8
8
0
8
0
8
0
0
0
0
0
8
8
8
8
1
18
0
0
0
1
1
8
0
28
28
16
0
0
8
8
8
8
16
16
16
8
0
0
0
0
0
8
8
8
8
0
8
8
8
16
16
16
16
34
8
8
8
8
8
8
8
24
4
4
0
0
16
16
16
16
8
8
8
0
0
8
2
0
0
0
8
8
8
8
0
0
0
8
8
8
8
8
8
8
8
16
16
1
1
2
16
0
0
2
16
16
16
2
2
0
16
0
8
8
16
16
58
16
16
15
2
2
8
0
8
8
8
4
0
16
16
16
16
8
0
0
0
6
6
6
6
4
16
16
16
16
2
16
17
16
16
16
16
8
1
1
1
16
16
16
0
1
0
16
8
16
16
16
0
0
0
1
8
2
2
6
16
8
10
8
16
16
8
8
8
0
8
8
8
8
16
16
0
8
0
12
28
12
0
0
0
0
0
1
16
18
18
18
8
0
8
8
8
8
8
0
8
8
8
8
8
8
8
8
8
0
0
0
4
4
4
4
24
24
8
8
4
12
0
17
17
0
0
0
8
8
12
4
8
8
8
1
8
16
2
50
1
1
8
8
8
0
0
8
8
8
16
16
16
8
8
0
0
0
0
0
24
24
24
24
2
2
16
16
16
16
16
16
16
16
16
8
8
4
10
8
8
0
16
16
16
16
4
4
4
8
8
0
16
16
22
16
0
0
45
45
4
1
16
0
16
8
24
4
4
16
16
16
16
16
16
16
8
8
8
8
8
4
4
4
4
41
41
8
0
0
0
0
16
16
16
16
0
0
0
1
1
1
10
0
0
0
16
16
8
8
20
20
17
21
0
0
8
8
8
0
8
0
8
4
8
8
24
24
24
24
8
8
8
8
16
16
16
16
16
16
16
4
0
0
4
4
4
0
0
4
8
8
8
1
1
0
0
0
16
4
8
8
8
8
0
32
32
4
16
16
16
17
16
0
0
16
24
16
16
16
16
16
0
0
0
0
0
8
18
18
24
24
0
2
8
8
8
8
0
0
0
0
0
8
8
24
24
8
0
8
16
16
16
16
16
5
5
8
0
0
22
22
0
0
0
0
0
0
0
24
0
8
0
0
16
16
17
0
0
0
8
8
8
16
8
8
8
8
8
16
8
8
8
8
8
8
8
48
48
48
48
48
48
4
4
4
4
16
16
8
8
8
0
0
0
0
24
12
12
0
0
8
0
8
1
8
16
16
16
16
16
16
40
8
8
20
20
20
1
1
25
25
50
16
16
16
16
16
33
32
8
0
1
24
4
9
9
8
8
0
0
16
0
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
10
12
8
8
8
3
3
8
3
3
3
16
8
8
3
3
3
16
22
22
22
8
20
20
4
24
0
0
0
0
16
1
25
1
1
0
16
16
16
16
8
32
32
4
8
8
22
22
22
22
2
10
1
1
20
16
0
0
16
16
16
11
4
0
0
16
0
40
4
0
16
0
16
16
4
8
9
8
12
16
12
16
0
0
0
0
8
0
8
16
16
16
4
8
11
8
24
8
2
24
24
8
0
0
16
16
16
0
0
16
8
0
0
6
4
4
4
0
18
18
16
16
8
0
8
0
0
0
2
0
0
0
0
16
0
0
4
4
16
24
24
24
24
16
1
1
1
2
2
2
0
2
2
2
16
16
16
16
16
1
1
8
8
8
8
8
4
1
8
1
8
0
0
16
16
0
0
0
8
8
8
16
16
16
16
16
8
8
8
16
16
16
8
8
8
8
8
16
16
16
0
0
0
0
4
4
4
4
4
4
16
8
8
8
8
8
8
8
8
8
8
8
8
8
4
4
4
8
0
16
16
16
8
8
0
0
8
8
16
16
16
8
0
0
0
0
8
8
24
16
16
16
16
0
0
2
2
2
2
2
8
8
8
4
16
16
16
1
8
8
8
0
0
16
4
4
4
4
0
9
0
0
0
0
32
32
8
8
4
12
16
16
24
24
24
8
36
36
4
1
1
8
8
8
12
12
12
37
37
37
8
8
8
8
8
8
8
0
2
2
1
1
1
1
0
32
0
16
49
32
32
16
16
8
8
8
8
8
0
0
0
2
8
8
0
1
1
8
8
8
8
24
1
9
0
0
8
16
16
16
16
16
8
1
4
0
4
8
8
8
8
8
24
24
24
24
24
16
0
16
0
0
0
8
8
8
16
16
8
16
8
0
8
0
0
0
1
1
1
1
1
1
32
32
0
8
8
16
16
16
0
16
24
16
16
0
0
2
0
0
0
0
0
8
8
2
2
8
1
0
8
16
8
8
25
16
16
16
16
16
8
0
24
0
0
24
24
24
16
16
16
16
8
8
8
0
0
16
16
8
8
8
1
0
0
24
8
8
0
8
8
8
0
0
0
8
16
16
0
0
0
8
8
8
16
16
0
8
8
8
4
4
4
0
16
16
0
2
8
0
0
8
20
20
32
24
24
8
0
0
8
8
8
16
16
16
16
8
32
32
32
32
1
1
4
32
40
32
8
8
8
8
24
8
2
2
2
0
8
0
1
1
1
4
8
8
0
0
1
0
11
0
0
16
16
16
0
1
1
0
8
8
16
16
16
16
8
8
4
4
0
0
0
14
4
25
25
32
32
32
32
32
32
0
0
0
0
0
0
0
0
16
16
1
1
1
8
20
20
16
0
1
1
1
1
4
4
4
4
0
0
4
16
9
8
0
0
0
0
0
8
4
4
8
8
8
8
8
8
8
3
2
2
17
17
8
0
0
0
0
16
16
8
8
0
0
8
8
0
8
8
8
8
8
12
4
4
8
0
0
8
8
8
8
8
8
8
0
1
1
1
1
1
1
4
6
0
4
16
16
8
8
0
0
16
16
16
16
16
1
1
18
4
4
2
2
0
0
0
8
8
8
8
8
8
8
8
8
8
24
24
32
48
32
2
2
2
2
8
8
8
9
1
1
5
5
5
5
8
4
8
8
16
16
16
16
16
1
0
0
8
16
16
16
16
16
1
1
1
16
16
16
8
8
8
0
32
32
16
16
32
32
2
2
2
2
0
48
8
8
8
8
8
8
8
16
16
16
16
8
8
24
24
8
0
1
8
16
16
16
24
0
0
1
33
16
16
60
60
8
4
4
1
1
1
1
1
1
1
4
4
28
28
16
8
8
8
4
0
8
16
16
16
0
2
2
2
0
0
8
8
8
8
8
16
16
16
8
8
16
16
16
8
8
8
32
32
32
0
2
2
2
2
2
2
2
12
12
16
27
11
11
11
11
11
4
4
32
4
4
4
1
1
8
0
0
0
8
8
8
8
8
8
20
20
20
8
8
8
8
8
8
8
8
8
0
49
8
0
8
8
8
33
33
2
8
2
8
16
16
16
0
0
1
0
2
0
20
16
17
1
0
4
4
4
4
4
4
4
4
4
4
4
0
24
16
16
16
16
8
8
2
8
8
16
16
16
0
8
0
0
0
0
8
2
2
2
2
2
2
8
2
17
0
0
0
0
0
16
16
8
8
8
16
0
10
10
10
10
8
2
2
0
24
0
0
16
16
16
16
0
0
8
40
10
10
10
10
10
10
0
0
0
0
24
24
24
16
16
8
8
8
8
2
2
2
16
16
16
16
8
8
8
12
0
0
0
2
2
0
0
0
2
4
4
8
8
8
8
8
8
8
8
8
16
8
8
2
24
24
24
16
8
8
34
2
8
8
8
8
8
8
8
16
0
0
2
4
24
8
1
0
0
0
0
16
16
16
4
4
16
0
16
16
18
18
18
18
18
0
16
16
4
0
8
8
0
0
0
8
10
10
8
1
1
8
8
0
0
16
16
16
16
16
16
4
8
0
0
8
8
8
0
17
17
0
0
0
8
16
16
16
0
8
8
8
8
8
0
0
16
16
16
16
8
8
0
0
2
16
16
0
48
16
16
16
8
8
8
1
8
32
32
32
16
16
20
20
20
16
16
16
16
16
0
0
0
0
0
0
8
8
8
0
24
24
24
8
8
0
16
6
6
8
0
0
16
16
6
4
0
16
8
2
2
2
2
2
2
8
1
8
16
0
0
0
0
0
8
24
0
4
4
4
4
4
4
4
4
0
0
8
8
8
8
8
8
8
8
0
8
0
0
0
16
9
8
1
16
1
8
16
24
24
24
24
8
16
0
16
8
8
8
9
8
8
0
8
8
6
8
8
8
8
8
8
10
8
8
0
8
8
0
0
0
0
16
1
0
0
0
0
0
0
0
0
0
28
0
0
0
0
2
2
8
8
8
8
0
0
0
8
8
8
1
1
1
40
40
16
16
16
16
8
0
8
8
8
16
24
8
8
8
16
0
0
8
16
48
0
0
8
8
0
0
0
4
8
8
8
24
8
8
8
0
4
4
4
4
8
8
8
8
3
32
4
4
20
9
20
48
4
32
26
8
8
16
16
16
8
8
8
16
16
1
8
8
8
1
2
0
8
8
8
0
2
0
0
0
16
16
16
16
16
16
16
0
18
18
18
18
56
18
2
16
12
12
16
16
8
8
1
0
8
8
8
8
12
0
8
8
8
8
8
8
8
0
0
0
16
0
0
0
0
0
16
16
16
2
0
16
16
16
16
16
8
8
8
12
0
0
0
8
8
8
8
8
0
8
8
8
8
8
0
8
8
16
16
16
0
0
0
0
0
0
16
0
16
16
16
16
0
8
4
4
4
4
4
4
4
33
8
8
0
0
4
4
4
8
8
8
16
8
8
8
8
16
16
16
16
16
16
16
8
8
8
8
54
16
8
9
9
9
16
0
8
8
16
0
8
8
8
8
16
16
0
0
0
0
0
8
0
0
8
8
0
0
0
1
16
16
16
16
16
8
8
16
25
25
8
8
33
33
8
4
4
16
16
8
8
8
2
8
0
0
8
8
24
0
24
8
16
1
16
12
0
0
26
16
1
0
0
8
10
8
16
8
8
8
16
20
20
16
16
16
0
8
0
8
8
8
0
8
0
0
24
8
8
16
1
1
16
8
8
8
8
1
32
8
20
20
20
20
8
8
2
2
2
8
8
8
8
8
32
32
32
32
32
32
16
16
4
4
4
1
12
16
16
0
0
0
0
16
16
0
1
17
17
8
8
8
0
2
2
1
0
0
10
2
2
8
2
16
16
16
8
0
0
0
0
0
16
0
0
0
1
1
1
8
2
2
0
16
16
16
4
4
8
8
9
8
8
4
4
0
4
4
0
0
0
0
0
0
10
4
4
16
16
0
1
32
0
0
0
18
18
18
0
0
0
0
0
8
8
8
0
0
16
16
16
16
16
16
4
4
0
0
16
32
32
0
8
16
16
16
16
16
16
0
0
8
8
0
2
2
8
8
8
4
4
4
0
1
16
8
8
11
8
8
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
16
0
0
14
14
0
8
0
0
0
0
16
16
16
16
16
8
0
4
4
8
20
20
20
20
8
16
8
16
16
16
24
12
2
0
0
8
8
16
16
16
16
16
16
16
16
16
0
0
4
28
52
52
28
8
0
0
0
16
8
8
8
0
0
0
0
8
8
8
0
0
8
0
16
16
16
16
0
0
0
16
16
16
16
16
16
12
12
12
4
4
4
0
16
19
2
33
0
0
0
0
16
0
0
0
0
16
0
0
0
16
16
0
0
0
0
16
2
2
24
4
4
4
4
16
20
8
20
0
0
0
8
8
8
0
0
0
16
0
8
8
8
16
16
16
16
16
16
16
16
16
16
0
16
16
16
16
16
16
0
16
16
8
8
0
0
0
0
2
1
1
8
12
4
4
8
16
16
16
4
4
9
8
32
32
32
8
26
16
16
16
16
16
16
16
16
2
2
2
8
8
24
0
0
4
4
4
0
16
16
16
16
20
16
16
16
0
0
8
32
32
32
32
0
8
16
8
8
8
0
0
8
8
0
24
8
8
8
8
1
0
16
16
16
16
16
0
16
16
16
0
8
8
1
2
2
8
8
8
8
8
0
8
8
8
8
16
16
16
32
8
8
8
8
8
12
12
28
8
8
8
0
0
16
8
4
16
16
8
4
16
8
8
8
16
16
16
8
8
2
16
0
16
18
16
16
16
16
16
20
16
16
8
24
24
24
8
2
0
1
0
16
12
12
0
0
0
0
0
0
0
4
0
0
0
0
0
1
0
8
0
2
2
32
32
16
0
0
0
0
20
1
16
20
16
18
8
1
1
1
1
1
1
1
1
1
16
16
3
0
8
12
12
12
0
0
0
11
2
8
0
0
8
16
16
0
0
1
8
0
25
8
0
0
8
8
0
32
32
32
32
1
4
4
8
8
8
2
22
8
1
1
1
1
1
8
8
12
8
8
8
8
0
0
0
32
32
32
32
32
32
32
32
32
32
42
42
8
0
0
6
6
1
1
16
16
16
16
0
19
18
8
0
0
1
1
1
16
0
0
8
8
0
16
26
26
26
26
26
4
4
2
2
16
16
8
16
24
24
24
8
0
2
2
2
2
2
16
16
8
8
8
16
0
8
32
0
0
0
0
0
0
0
4
2
2
2
2
2
8
16
4
4
4
4
8
1
1
1
1
0
2
18
2
8
8
8
8
8
8
4
4
4
4
2
2
2
2
2
2
0
0
4
0
16
16
16
16
16
0
0
0
0
0
0
0
1
8
8
16
21
21
8
8
8
0
0
8
11
16
0
16
0
0
1
0
41
8
1
1
0
0
16
16
24
16
16
16
1
0
0
16
24
24
0
0
0
16
16
16
8
4
4
5
5
5
0
0
8
32
32
32
32
0
0
0
4
4
4
0
1
8
8
16
24
16
16
16
16
12
2
16
16
16
8
16
1
1
1
16
3
3
3
8
4
8
12
16
8
11
11
1
21
1
0
0
0
0
0
0
8
8
8
8
8
16
28
0
4
4
24
24
16
13
13
13
4
4
4
0
1
8
8
12
2
0
0
0
4
16
0
0
2
0
0
8
8
4
4
24
24
1
1
2
0
0
0
1
8
0
4
4
4
4
4
4
24
24
18
16
16
16
0
0
8
8
8
8
8
0
8
8
8
8
0
0
0
8
8
20
20
0
0
1
1
1
1
8
4
8
8
8
8
8
8
8
8
8
0
8
8
4
8
8
8
8
8
0
8
8
0
1
1
16
2
8
8
8
8
8
0
16
16
16
32
8
32
32
2
2
20
0
0
0
8
0
1
16
21
0
0
8
8
8
1
0
0
17
24
16
16
0
2
2
0
8
8
8
16
16
16
16
0
0
16
8
8
0
8
8
8
8
8
8
0
24
24
1
4
4
0
8
0
8
0
0
0
24
16
0
1
8
8
8
16
8
8
8
8
0
0
8
1
8
8
16
16
16
16
16
4
4
4
24
8
8
0
0
0
0
8
8
8
8
8
8
0
1
1
1
1
1
1
1
8
20
0
8
0
0
16
0
24
16
0
8
8
8
0
32
32
8
24
24
24
24
24
24
24
24
0
8
0
0
8
8
4
4
4
4
4
4
4
4
4
4
4
4
19
18
2
20
8
16
0
0
8
16
16
16
16
16
0
16
8
8
2
2
0
0
0
16
16
16
16
16
0
0
4
16
16
16
8
0
0
0
1
1
16
16
16
2
0
0
0
0
16
0
0
0
8
4
4
4
4
8
8
8
8
8
8
8
2
2
2
2
2
2
8
16
2
0
4
4
8
8
8
8
8
8
8
16
16
16
16
16
28
48
16
8
8
0
2
2
2
2
0
8
8
8
0
0
0
0
0
0
8
8
0
0
0
0
4
4
4
4
1
0
0
0
0
4
4
4
4
41
18
18
18
18
0
16
16
0
0
0
26
16
1
1
1
0
16
8
16
16
16
16
0
2
2
16
16
4
16
10
8
8
4
4
4
8
8
8
8
8
4
4
4
4
6
8
25
8
16
8
8
8
8
8
16
16
16
16
16
16
8
9
0
8
0
8
8
8
8
22
22
22
16
8
24
24
4
4
16
16
16
24
8
0
16
16
16
16
16
26
16
16
16
16
0
4
0
16
24
12
8
16
16
16
4
1
1
16
16
0
0
0
10
10
16
8
2
2
8
2
6
6
6
6
4
4
4
16
0
28
4
4
16
16
41
8
8
8
8
8
8
16
8
0
2
2
24
24
1
1
0
0
0
8
8
8
8
8
8
8
8
8
4
0
16
16
16
16
8
8
8
16
1
1
1
1
1
0
16
16
16
0
8
8
8
4
2
2
16
4
0
0
0
16
8
2
2
2
2
0
8
8
8
8
16
16
16
16
54
54
0
0
0
0
0
0
32
16
16
16
16
16
16
0
0
0
0
32
0
8
0
0
0
0
0
0
8
8
8
8
8
8
8
8
8
50
50
50
50
50
4
4
0
0
8
8
8
8
0
0
2
2
0
0
0
16
16
16
16
16
16
16
16
8
0
0
0
0
0
0
8
8
8
0
2
2
2
8
8
0
0
19
2
2
3
15
8
16
16
8
8
8
8
8
16
16
16
8
8
8
8
0
0
9
9
9
0
0
0
8
8
8
0
20
16
4
16
16
0
24
24
16
24
0
8
0
4
4
8
0
8
0
8
8
8
0
16
16
8
8
9
16
16
16
16
0
0
16
16
8
0
0
0
0
33
32
8
0
0
0
0
0
16
16
4
4
4
4
8
8
8
8
0
0
8
8
8
0
24
24
8
0
0
16
16
8
0
8
0
4
16
0
0
2
2
2
1
57
57
1
1
8
8
0
16
16
8
8
0
0
0
8
8
8
8
16
16
0
0
2
2
19
16
16
16
16
16
0
16
16
16
8
8
8
8
16
2
34
4
4
4
4
4
4
0
0
0
16
8
8
16
16
16
16
22
22
0
0
16
1
8
6
6
16
16
16
8
8
4
8
16
16
1
1
1
0
0
0
0
8
8
8
8
8
8
8
8
8
9
9
1
0
0
0
8
0
0
0
1
9
1
1
0
16
20
20
8
0
0
4
0
16
16
16
1
1
16
16
16
16
16
16
16
16
0
0
8
8
8
16
8
2
8
18
17
1
8
0
0
0
0
0
0
16
1
2
2
2
2
2
2
2
2
2
2
16
36
36
36
36
36
2
8
1
1
0
0
0
0
16
16
16
16
16
0
16
8
8
0
0
0
16
16
0
0
0
0
0
4
16
16
16
1
4
8
8
8
8
0
16
16
0
0
0
8
8
8
0
16
16
16
16
16
0
0
10
10
10
16
8
8
8
8
16
0
0
1
1
8
8
8
8
2
8
4
8
4
0
0
4
16
16
16
16
8
8
8
8
0
24
24
16
8
16
8
16
16
24
6
6
6
6
8
26
26
4
4
4
8
8
8
16
16
16
8
8
8
12
8
8
8
16
16
8
4
0
0
0
0
8
8
0
0
0
0
8
0
9
0
8
8
8
8
8
2
2
8
8
16
0
0
0
16
20
20
16
8
8
16
4
0
8
0
8
16
8
16
16
0
16
16
16
16
8
8
8
8
8
0
0
20
12
12
2
2
1
1
16
16
8
2
2
2
2
8
16
8
8
0
0
8
0
9
8
8
16
16
16
16
16
8
8
8
8
0
1
1
1
8
8
8
8
1
0
0
0
0
0
0
8
8
8
4
12
4
4
4
8
8
2
0
8
16
8
8
40
16
16
16
1
1
8
8
2
8
0
4
28
28
1
1
32
32
32
16
16
8
0
0
0
1
0
0
13
12
12
12
13
12
33
33
32
14
8
16
1
0
0
8
8
27
10
10
10
10
16
16
16
16
16
0
0
0
16
16
16
16
9
16
16
16
8
0
8
8
8
8
8
20
20
16
0
0
0
25
32
8
8
16
16
16
16
1
1
0
4
46
14
14
14
8
8
8
0
25
8
8
4
4
0
8
8
8
8
0
0
0
36
36
36
36
16
8
8
8
8
0
0
0
0
8
8
8
8
8
8
16
12
0
8
17
17
16
16
16
8
8
32
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
32
0
0
0
8
0
4
4
4
4
4
0
40
0
20
8
8
0
17
40
0
16
4
8
8
0
8
2
2
2
2
0
0
0
16
4
4
4
4
1
1
0
0
8
8
8
0
0
16
16
16
16
16
16
16
5
5
0
0
0
4
4
4
4
16
16
0
0
0
8
8
8
8
8
8
8
0
0
8
8
8
8
8
1
24
24
0
24
24
16
16
33
33
33
0
0
0
0
4
4
4
8
8
0
8
9
1
1
8
9
9
8
1
4
4
2
1
1
1
1
1
1
1
8
0
0
2
2
2
2
1
1
16
16
0
0
0
16
16
32
0
0
0
4
4
4
4
4
4
4
32
32
32
32
32
32
0
0
0
25
0
0
0
0
0
0
0
1
16
16
8
4
4
4
8
8
8
0
45
8
8
16
8
8
8
4
4
4
8
2
0
0
16
0
0
0
0
0
24
16
0
0
0
16
8
8
32
16
18
24
24
9
9
2
8
8
4
4
1
8
9
0
16
16
5
1
24
8
1
4
8
1
9
1
16
16
4
4
8
16
16
16
16
4
4
0
0
4
0
4
16
2
0
24
16
16
1
1
1
8
0
8
8
8
8
8
16
16
8
16
16
16
16
16
1
1
1
1
0
8
8
0
4
3
3
0
16
16
16
0
0
0
8
4
4
4
0
8
24
4
4
1
2
2
0
16
8
8
8
8
58
0
8
8
8
2
2
2
0
8
4
0
0
0
0
12
4
4
4
4
4
4
4
4
8
8
16
16
16
8
16
16
16
16
2
10
8
24
2
0
0
0
0
24
32
16
8
16
16
2
28
28
28
28
28
28
0
8
8
0
8
4
4
0
16
16
9
4
4
16
16
0
0
2
16
16
16
16
24
8
8
16
16
0
1
8
0
0
0
0
8
8
0
0
24
24
24
24
24
16
32
32
0
8
16
16
9
51
8
8
8
1
8
32
32
32
16
16
16
16
16
16
0
0
0
25
8
8
8
16
16
16
16
0
0
0
0
16
16
8
8
8
1
16
16
16
16
16
8
8
2
16
16
0
0
0
0
0
0
8
2
32
8
12
12
12
12
12
12
0
0
0
0
16
16
0
0
16
16
8
6
6
8
2
2
2
2
2
8
0
16
16
0
0
0
8
8
8
8
8
0
16
16
16
16
8
8
0
0
16
0
0
16
2
2
2
2
24
33
32
32
32
32
32
32
32
32
4
16
16
16
0
0
0
0
8
4
4
1
1
1
4
8
8
17
0
0
8
8
8
8
34
34
0
0
16
16
8
8
24
8
8
2
2
4
0
0
0
4
0
16
8
0
8
1
8
8
8
8
8
18
2
16
8
0
0
0
0
0
0
0
0
0
1
0
0
8
8
8
8
8
8
2
2
2
0
0
0
0
16
16
4
8
8
1
1
1
4
4
0
0
0
0
0
4
2
4
16
4
4
8
0
0
16
49
1
4
2
2
20
4
4
4
0
0
1
8
8
8
8
0
0
0
0
0
8
2
2
2
2
4
4
4
4
4
8
2
2
8
8
6
0
5
0
0
17
16
16
16
16
16
0
34
2
0
0
20
0
8
8
8
16
24
2
14
14
8
2
2
2
2
2
2
2
2
2
2
2
39
39
0
8
8
8
8
8
1
1
1
1
1
1
1
24
8
8
16
8
0
8
16
16
16
16
16
1
8
16
1
1
32
8
8
2
8
8
8
8
8
40
8
8
8
32
17
8
8
8
17
17
32
0
1
8
2
0
0
0
0
0
0
0
8
8
16
16
8
8
8
8
3
3
0
0
4
16
16
16
33
0
1
9
1
16
16
0
0
0
8
8
8
0
0
0
16
8
17
17
17
8
8
8
8
8
8
8
1
8
8
8
8
8
8
0
0
0
0
18
2
16
0
0
16
16
0
9
1
1
0
0
8
8
8
8
8
8
0
0
0
0
0
0
8
8
8
32
32
32
32
8
8
8
8
4
4
8
6
6
16
16
16
16
16
0
12
12
12
12
56
0
23
23
23
8
8
0
0
0
0
0
28
28
28
8
8
25
1
1
1
1
1
1
1
1
8
8
16
32
32
32
32
32
32
32
16
16
16
16
16
2
8
8
8
8
8
8
0
16
0
24
24
24
24
1
2
2
0
8
0
0
2
8
8
10
10
16
8
8
8
8
8
1
1
0
1
0
16
16
16
16
8
8
8
0
0
48
48
48
48
2
2
16
16
16
16
16
16
1
8
8
1
1
0
8
8
8
8
8
8
8
0
0
8
24
9
2
1
1
1
0
16
16
16
16
0
4
4
8
32
16
8
8
8
8
8
0
0
0
16
16
16
16
57
2
2
2
2
4
4
4
0
0
8
8
8
8
8
0
0
0
36
36
36
32
0
0
0
0
0
0
2
8
10
8
16
20
16
16
8
8
8
16
1
1
1
8
4
0
8
8
34
34
34
34
34
0
9
16
1
17
17
17
17
4
16
16
1
8
8
24
24
8
8
8
4
0
33
9
9
9
8
8
0
0
0
16
8
10
10
10
0
0
0
1
1
1
1
0
0
8
8
8
8
8
8
8
8
0
57
57
57
57
8
16
16
8
8
8
8
16
24
1
16
16
8
8
8
8
0
8
8
16
16
16
26
16
16
8
8
3
3
3
3
8
16
0
0
0
8
0
0
8
28
28
28
28
28
28
28
0
16
0
16
16
8
8
8
1
16
16
16
16
4
4
4
4
4
8
8
8
8
16
2
18
24
24
0
8
8
8
8
8
8
8
8
8
0
0
8
8
27
27
0
8
8
0
0
0
0
4
4
4
4
4
8
58
0
0
0
0
16
32
8
40
0
0
4
4
4
4
4
4
0
16
16
16
4
20
24
16
16
0
0
8
22
4
4
4
4
52
8
8
8
8
4
4
4
4
8
0
2
2
0
10
8
8
24
24
0
3
0
0
4
4
4
0
12
8
0
0
1
16
16
16
16
16
16
16
0
0
0
16
8
8
0
16
0
0
0
0
0
8
16
16
0
16
2
16
4
4
4
4
8
8
2
2
2
0
0
0
24
16
16
16
0
10
0
0
0
0
0
16
0
32
32
32
48
7
7
7
7
7
8
2
2
0
0
0
24
16
4
4
4
4
4
16
0
0
0
4
4
4
8
8
8
16
16
4
10
8
8
0
0
8
16
16
0
33
4
8
0
9
16
16
16
16
16
16
16
16
2
2
2
8
32
36
24
16
16
16
16
16
16
1
1
1
2
2
0
4
0
0
0
0
0
0
1
1
1
0
0
0
31
13
1
4
6
6
6
8
1
1
8
34
0
17
1
20
0
0
16
3
3
3
3
0
0
0
8
8
8
32
32
1
1
1
1
1
8
0
2
8
8
8
8
8
8
8
8
8
24
0
0
8
8
16
16
34
34
4
4
8
8
2
1
1
1
0
0
0
0
16
16
0
0
16
0
0
0
0
16
16
16
16
16
0
2
2
2
2
2
1
1
16
12
24
24
24
0
20
20
4
16
8
8
8
41
8
8
9
8
8
2
1
3
8
16
16
16
16
0
8
8
8
8
1
1
1
1
1
1
9
58
58
58
58
1
16
16
0
17
0
8
8
0
2
2
8
8
8
16
16
20
0
16
16
17
0
9
9
9
8
4
4
4
4
4
4
16
16
16
16
16
16
0
0
8
8
8
0
0
4
4
8
8
8
33
33
33
8
16
24
16
8
0
0
0
0
44
0
8
8
8
8
0
0
8
1
1
1
1
1
1
1
16
16
16
17
32
24
32
8
4
4
4
4
4
1
32
8
8
8
0
0
0
0
0
24
0
2
2
0
0
16
16
0
8
16
0
14
14
14
14
14
14
0
0
16
16
16
16
16
16
16
16
8
8
8
1
0
0
0
0
1
0
0
0
16
16
0
8
16
16
0
8
8
8
8
8
8
8
8
4
4
4
4
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
0
16
16
18
24
0
4
4
8
0
0
0
24
8
24
8
0
0
0
1
8
8
32
16
2
2
0
8
0
0
24
8
16
4
25
1
8
8
8
8
0
0
0
8
17
17
17
0
8
8
8
8
8
8
0
0
0
15
8
2
2
8
1
0
0
8
2
2
2
16
8
4
4
4
8
8
0
0
16
24
0
8
8
8
0
0
0
16
16
16
16
0
0
16
8
8
24
24
8
8
4
4
4
16
16
16
16
16
0
0
4
4
2
2
24
8
8
8
0
0
8
8
8
16
16
16
8
8
16
16
0
0
0
8
16
8
8
0
8
8
25
8
0
4
4
8
8
8
8
8
0
16
16
16
10
8
8
8
16
8
8
16
24
16
2
2
16
16
16
8
0
0
0
0
16
16
2
8
8
8
8
8
8
8
0
0
0
0
16
16
16
1
1
2
2
2
0
2
2
0
0
0
20
16
9
0
11
9
0
4
8
8
8
24
24
16
16
16
0
8
16
16
16
16
16
16
16
8
40
16
16
16
32
1
1
1
1
6
0
16
16
16
16
16
16
16
8
8
0
16
48
48
8
4
4
4
24
0
8
16
16
0
8
4
1
0
1
1
1
8
8
8
0
0
1
1
0
16
16
1
1
1
4
4
4
0
2
2
2
32
0
4
16
16
16
16
4
4
6
6
0
2
2
2
10
10
16
8
0
16
16
16
1
1
1
0
8
13
13
16
2
2
10
10
10
0
0
0
33
24
24
24
1
1
1
1
4
16
0
8
8
0
0
16
0
1
1
1
2
2
8
8
0
0
0
0
16
0
6
0
8
0
0
0
0
0
0
16
28
28
28
0
8
48
8
8
8
4
57
8
8
0
0
1
0
0
8
8
16
16
4
4
4
4
4
4
8
8
2
2
0
2
2
0
16
8
8
4
4
4
8
8
8
8
8
0
0
28
28
4
4
4
28
1
16
16
16
8
8
8
16
8
8
16
16
8
0
0
52
0
16
4
24
24
16
17
0
0
16
8
0
0
32
8
8
8
16
58
0
0
0
0
0
0
0
0
0
32
32
32
32
32
32
8
8
0
20
0
16
16
16
16
0
0
8
1
1
16
16
0
34
32
32
32
32
0
1
1
1
1
1
0
8
8
8
0
0
0
32
8
0
8
8
8
8
8
8
8
0
0
8
0
0
0
0
12
4
8
8
8
8
8
8
44
44
16
16
0
0
0
0
52
16
16
0
1
17
17
8
8
8
0
0
0
0
0
32
7
7
8
8
0
32
0
16
0
16
16
16
0
8
1
1
0
8
8
8
4
16
16
16
16
16
16
16
16
16
16
16
2
2
2
16
1
1
1
1
4
4
0
4
4
0
0
0
0
16
16
16
16
11
52
52
52
0
0
16
16
16
1
2
4
8
8
8
8
8
4
2
10
32
2
12
12
8
8
8
4
4
4
4
16
16
1
4
16
16
16
8
0
8
24
4
4
0
0
2
2
2
16
16
16
8
24
8
1
1
0
32
32
32
32
0
0
8
40
40
40
8
2
8
8
16
16
16
16
16
0
0
4
4
4
4
8
0
8
8
24
40
8
8
8
5
5
20
8
0
0
32
32
32
8
8
0
16
16
16
16
16
16
8
8
0
0
1
8
1
8
8
1
1
1
1
1
1
1
1
1
0
32
32
32
8
8
8
24
8
8
32
16
16
0
0
0
8
8
8
9
9
4
4
16
16
16
8
8
8
4
4
4
4
0
18
16
6
6
16
2
16
16
16
32
32
0
2
4
32
16
16
16
8
0
4
4
0
16
16
16
8
8
8
8
8
1
0
0
0
0
24
16
16
8
8
8
0
0
8
8
8
16
16
16
32
16
16
40
62
8
8
8
8
17
0
0
0
0
0
16
16
4
8
8
8
19
0
0
0
4
4
20
2
2
2
2
8
8
8
16
1
1
1
1
1
1
32
0
0
0
0
8
8
8
8
8
8
8
8
8
18
18
16
16
9
18
18
16
16
0
1
8
8
8
32
20
20
20
24
8
8
4
4
0
16
16
0
9
8
49
49
4
8
49
32
32
32
8
8
8
0
4
16
16
16
8
8
8
0
0
0
0
0
0
0
4
4
4
4
1
1
1
1
1
16
8
16
0
0
0
0
0
0
0
8
8
8
8
8
8
0
8
8
4
2
2
2
2
2
2
2
2
0
8
8
16
16
5
5
16
16
8
8
8
8
8
4
1
8
8
8
8
8
20
2
2
8
0
0
0
0
2
18
2
2
2
0
8
8
16
16
8
2
2
2
16
16
16
16
8
8
32
2
8
0
0
48
20
8
16
8
8
8
4
1
1
0
32
32
8
40
40
40
0
0
16
17
1
16
16
16
8
8
8
2
2
8
8
8
24
24
24
24
8
16
8
8
16
8
8
24
8
8
4
18
18
0
1
1
16
8
8
8
8
1
17
8
48
32
16
16
16
8
8
0
0
0
8
8
4
4
8
4
2
4
4
4
0
0
0
0
0
5
0
0
10
10
10
10
0
0
0
0
32
32
32
32
33
0
8
8
8
8
8
8
8
8
8
8
8
24
24
24
4
4
2
0
0
16
16
16
32
0
8
4
4
4
4
8
12
12
12
16
12
12
4
8
12
4
6
6
6
8
16
16
0
0
0
0
16
16
16
9
8
8
24
8
8
0
0
0
0
1
1
8
0
0
0
4
4
0
32
32
13
13
13
13
16
16
8
8
16
2
2
2
0
0
8
8
16
16
0
0
24
16
16
8
8
0
8
52
32
0
0
12
8
16
8
8
2
0
0
16
8
16
0
0
8
8
2
2
2
2
2
8
16
12
12
8
8
8
16
0
0
0
0
16
32
48
8
0
2
0
1
0
1
0
1
16
8
8
16
16
16
1
1
1
16
0
0
32
0
8
8
16
8
16
16
16
16
16
16
1
16
0
0
4
4
4
0
4
24
16
16
17
17
16
16
16
1
4
4
4
0
16
16
16
16
8
8
8
8
8
4
4
32
52
36
16
49
16
16
16
8
8
8
8
16
16
16
16
8
0
0
8
0
8
0
4
4
4
24
8
0
8
0
8
8
8
2
2
2
2
2
8
8
8
8
16
16
0
0
0
16
8
8
8
1
8
8
8
8
8
8
0
27
27
27
8
2
8
0
32
32
2
2
2
5
1
1
1
1
0
0
0
0
0
16
16
4
4
8
24
8
8
2
16
16
0
0
4
4
4
4
4
4
4
6
6
32
32
0
0
32
32
4
16
16
16
0
4
4
0
0
16
21
21
21
20
0
8
16
16
1
4
4
4
16
8
16
16
24
24
24
8
4
16
16
16
2
2
2
2
3
2
12
28
16
1
1
8
8
8
24
24
24
2
1
16
0
16
16
16
16
16
8
8
8
0
9
9
24
8
0
1
24
24
8
32
32
32
0
1
1
1
4
1
8
0
8
8
16
8
4
8
16
16
0
8
8
8
1
0
0
0
8
2
2
16
16
16
16
0
0
16
16
16
8
8
8
8
8
24
8
8
8
16
16
16
16
16
16
8
2
20
4
4
4
4
2
16
16
8
16
0
0
0
8
8
1
1
1
0
2
2
8
0
0
8
8
8
8
8
8
8
8
8
16
16
16
16
16
16
0
2
8
8
24
24
24
10
8
0
0
0
8
8
8
16
16
16
12
4
6
8
8
0
10
8
8
2
22
2
2
8
4
4
4
16
16
24
24
0
8
2
16
16
8
8
8
0
0
0
0
0
6
6
2
4
4
4
8
8
8
16
16
16
4
14
14
8
8
0
16
8
8
8
8
8
60
0
8
8
0
16
8
4
4
4
4
16
16
16
16
16
0
0
0
8
8
8
8
1
8
36
0
4
4
2
4
4
8
8
8
16
16
0
0
0
0
0
1
1
16
2
16
0
0
0
0
8
8
8
8
8
0
12
4
16
16
16
16
32
0
16
16
32
16
16
32
32
32
8
8
24
0
1
1
2
2
2
2
15
15
15
16
16
4
4
0
0
0
0
8
8
8
8
2
2
1
8
8
8
8
12
12
4
0
2
16
0
8
8
16
16
16
16
16
20
16
8
8
8
0
40
32
32
8
9
9
9
9
2
2
2
8
0
0
0
0
0
0
16
2
2
2
2
16
0
0
0
0
16
8
24
24
0
0
8
8
10
8
24
24
24
8
8
16
16
0
0
0
16
4
16
16
8
0
32
32
32
8
8
10
2
0
16
16
16
16
16
16
4
0
8
8
9
9
9
9
9
9
9
9
9
9
9
9
9
4
4
4
4
0
0
8
8
8
0
8
16
18
16
16
16
8
0
0
0
1
1
0
0
16
16
8
16
1
0
4
4
4
8
8
8
20
8
4
4
4
16
16
16
39
39
0
0
0
0
24
16
16
16
16
16
16
16
0
8
8
8
0
8
8
8
4
4
4
8
17
8
8
8
16
16
16
2
2
2
2
2
16
8
0
24
24
8
8
8
1
1
1
1
8
8
8
8
0
16
0
0
0
33
1
0
12
28
12
12
1
1
1
1
16
4
8
8
8
4
0
8
8
16
16
4
2
8
16
0
4
8
16
8
8
40
40
8
0
0
0
8
8
2
2
2
2
2
2
2
16
16
16
10
8
8
8
8
8
1
1
16
2
2
2
2
0
0
0
16
16
8
9
8
4
4
32
32
32
32
1
1
1
1
1
1
1
2
8
4
8
8
0
0
0
0
8
24
8
16
16
16
24
24
0
16
8
0
8
8
8
4
40
40
16
24
24
24
16
16
16
16
16
16
16
20
16
16
16
0
1
1
0
1
1
1
17
17
17
0
0
0
0
8
8
8
24
32
32
16
16
0
8
8
8
8
8
8
8
8
0
8
1
0
2
2
0
0
0
0
16
16
10
16
16
8
8
0
8
8
8
8
1
0
32
0
8
8
16
8
1
1
1
32
32
32
32
32
8
16
0
16
16
16
16
0
0
0
1
8
8
8
4
4
57
32
0
0
0
16
16
8
8
8
8
2
8
8
8
8
8
8
8
8
8
0
0
0
1
1
8
1
1
35
8
24
8
8
16
16
16
16
16
16
16
16
16
16
8
0
16
16
25
24
0
0
8
16
8
8
8
8
16
0
0
0
8
0
1
1
0
4
8
8
40
8
8
16
16
16
16
8
8
8
8
0
0
4
16
8
18
18
18
18
0
0
1
8
8
8
4
8
8
16
16
32
16
0
8
8
1
1
8
8
8
8
8
16
16
16
4
4
0
24
16
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
24
24
0
0
0
0
0
1
1
4
0
16
16
4
16
28
2
16
0
0
8
0
8
8
8
16
0
8
8
16
0
0
8
8
0
24
24
24
24
24
24
24
24
24
24
24
24
2
2
2
2
8
24
24
25
25
4
16
16
16
2
2
2
0
8
0
0
0
2
2
4
0
0
16
16
16
0
8
33
33
0
0
2
2
2
2
2
0
24
24
24
0
0
0
16
16
16
16
16
16
16
16
16
16
1
1
8
8
8
0
0
0
0
0
0
16
28
0
0
0
2
0
8
8
8
0
8
8
8
16
16
16
17
17
17
10
8
8
8
1
1
1
1
1
16
16
16
16
16
16
8
32
32
16
0
0
0
0
16
16
32
32
32
32
32
1
1
1
8
8
8
8
8
8
4
8
0
16
16
0
0
0
0
0
0
0
0
8
0
0
0
0
0
16
17
8
16
16
16
17
16
16
16
16
48
16
16
20
16
0
0
0
1
1
2
2
2
0
16
20
16
16
20
16
16
4
8
9
28
16
16
16
24
8
8
8
8
0
16
16
16
0
0
8
1
8
0
0
12
6
8
8
8
8
0
0
0
0
0
1
1
32
0
16
16
16
16
4
1
1
0
0
8
0
16
16
16
1
1
0
4
4
4
0
16
0
0
0
0
0
1
0
16
35
8
8
8
4
4
4
4
4
4
8
8
8
1
24
0
8
8
8
8
16
16
16
16
16
0
0
0
0
4
4
4
4
4
4
4
8
8
0
0
0
8
8
8
16
16
8
8
0
28
28
28
0
0
0
8
8
8
8
8
16
16
1
1
16
16
28
8
8
8
25
25
25
16
0
12
12
0
16
16
16
0
8
8
8
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
16
1
17
17
16
1
1
4
4
8
8
16
16
16
16
1
16
16
0
0
0
0
8
8
8
8
8
8
8
0
0
2
2
2
9
9
9
9
9
9
2
2
1
27
8
16
32
32
32
32
32
8
8
16
16
0
0
8
8
8
8
0
0
16
0
8
8
16
16
16
8
0
8
8
1
16
16
16
24
24
8
4
4
4
4
8
8
0
0
8
8
8
32
4
4
4
4
4
8
16
16
0
0
0
0
0
0
49
17
0
8
0
0
0
0
8
32
32
8
8
16
24
8
8
8
8
8
8
8
8
8
8
8
8
0
0
8
8
4
4
8
0
24
8
8
8
0
4
4
4
4
4
16
0
2
2
2
8
8
8
8
0
17
1
16
0
0
0
0
0
0
0
24
0
0
0
0
0
0
0
16
16
16
16
1
1
16
0
0
0
0
2
8
16
24
8
16
1
1
8
8
8
8
8
8
0
0
0
24
4
4
0
0
0
0
0
8
4
0
0
0
16
0
0
8
8
8
16
0
0
32
8
8
8
24
24
24
16
16
2
10
8
8
8
0
8
4
4
8
8
8
16
16
16
16
8
8
0
8
8
8
0
8
8
8
8
8
8
8
0
8
8
8
8
8
0
0
1
1
1
1
4
4
4
4
32
2
2
2
1
1
44
16
4
4
16
0
0
0
2
2
2
32
16
16
16
9
2
2
2
8
16
1
8
8
8
8
8
16
16
16
0
0
0
11
11
11
0
32
32
20
20
4
4
9
9
9
18
8
8
0
8
8
8
1
0
8
16
16
16
0
12
12
0
8
8
8
16
16
8
8
8
8
1
1
0
3
16
16
16
16
16
16
33
0
32
16
1
8
8
24
2
8
8
8
8
8
8
8
0
0
0
0
0
16
16
16
16
16
16
17
17
8
9
8
8
8
2
2
2
2
2
0
16
8
8
8
16
8
8
8
0
0
0
0
8
1
1
1
0
0
4
4
4
8
8
28
16
0
0
24
24
8
8
8
0
0
0
0
8
8
8
8
2
16
16
16
16
8
8
8
8
8
8
8
4
8
8
0
8
8
8
0
0
8
8
8
16
16
24
32
32
32
32
16
1
16
8
8
8
8
8
16
16
16
18
18
4
16
4
4
4
0
16
16
16
16
0
0
0
0
0
2
2
2
1
1
1
1
1
32
1
0
20
4
8
2
2
2
2
29
8
5
5
5
5
4
16
16
0
0
0
4
16
0
0
0
0
0
16
16
0
1
24
24
2
1
1
1
1
1
16
16
8
8
8
24
8
8
8
8
8
8
8
20
4
4
4
9
8
8
1
1
1
49
49
32
32
16
0
8
8
8
8
28
8
8
8
2
2
2
0
4
49
0
25
16
0
0
2
2
8
0
4
4
4
0
16
16
16
16
8
0
8
8
8
16
16
16
16
8
8
8
8
0
8
8
8
8
8
8
8
2
2
0
0
0
20
16
8
8
8
8
18
0
16
16
16
16
16
16
16
16
16
16
16
8
8
8
16
16
2
16
2
0
0
24
0
4
4
0
20
8
8
8
8
0
8
4
4
4
16
16
16
16
16
16
0
0
8
8
8
8
8
16
16
16
16
0
16
16
0
18
4
8
8
8
0
0
8
8
8
0
16
8
8
8
8
8
16
16
16
16
16
16
8
8
8
2
2
2
2
2
2
24
24
24
8
0
16
16
16
8
8
8
8
26
0
8
2
16
18
12
0
0
0
0
0
0
0
8
8
8
8
8
8
8
8
0
1
16
16
8
8
16
16
16
1
1
1
24
8
8
8
8
24
8
8
32
32
16
16
8
8
1
1
1
40
16
16
0
0
16
8
0
0
0
0
16
20
16
16
20
0
0
0
4
4
4
4
4
4
8
8
8
8
8
16
16
16
39
16
8
0
0
4
4
0
0
16
0
0
1
9
0
0
24
2
0
8
0
5
1
1
4
16
18
2
0
0
8
0
8
8
8
8
8
0
8
8
0
18
18
18
18
16
16
16
8
32
32
32
32
0
0
0
0
8
1
8
8
0
0
0
0
16
16
16
16
16
8
8
8
8
16
16
2
2
2
2
25
25
32
16
16
16
16
24
24
8
0
0
32
32
32
16
16
16
8
16
0
4
0
16
16
16
16
4
4
0
0
4
16
0
0
0
0
16
16
16
16
2
2
0
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
0
0
8
8
8
4
0
0
0
0
8
8
0
0
16
16
16
8
8
0
16
16
16
16
12
1
1
1
8
1
16
16
16
16
1
50
50
50
50
0
0
16
4
4
8
0
16
16
16
16
16
0
0
0
0
12
12
24
24
24
24
24
0
0
8
8
8
8
8
0
2
18
0
16
16
16
16
16
1
0
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
2
2
0
0
32
32
8
8
8
0
0
4
0
25
25
25
17
8
8
42
0
8
0
0
58
58
58
0
0
0
0
24
24
24
1
40
16
8
8
8
16
16
16
16
16
16
16
16
16
16
16
0
0
8
8
8
0
0
8
8
8
8
16
2
0
0
16
16
4
4
4
4
4
4
16
8
8
4
0
0
4
4
4
4
1
0
16
16
16
16
16
16
16
16
16
16
16
0
0
8
8
0
0
51
1
1
0
0
0
0
16
16
16
16
16
8
8
4
4
8
8
4
4
16
16
0
0
16
41
41
41
41
43
43
32
0
0
0
8
16
16
8
16
16
16
16
8
8
16
16
8
8
8
16
8
4
4
4
4
4
8
8
8
8
8
0
25
25
16
16
16
0
0
0
0
0
0
0
0
8
8
8
8
8
8
8
19
0
8
8
8
8
0
0
0
0
0
8
8
8
8
8
0
8
0
0
32
32
32
32
32
24
0
0
0
8
0
1
12
12
12
0
0
8
8
0
8
8
0
0
8
8
8
8
32
2
2
2
2
8
8
8
24
0
0
24
24
16
16
16
0
0
0
0
0
0
16
16
16
1
16
1
8
24
1
46
2
2
2
4
4
2
18
0
0
0
0
0
0
1
32
32
32
40
40
40
16
24
24
2
8
0
8
8
8
10
8
8
8
8
32
0
16
16
8
8
20
4
4
0
0
0
0
4
4
0
8
8
8
16
16
16
16
16
0
0
0
0
0
16
8
8
8
8
8
8
8
16
16
16
16
16
0
4
13
8
16
16
16
16
16
16
16
16
16
16
16
16
0
8
8
4
4
4
4
0
16
16
1
4
2
1
1
1
0
0
0
32
8
8
8
8
8
24
0
2
2
2
2
2
2
0
2
16
16
8
8
8
8
8
8
8
8
8
32
32
32
16
16
8
16
0
0
0
0
8
8
8
8
0
8
8
8
8
8
8
8
8
0
16
9
9
8
4
4
4
32
8
0
8
8
8
8
8
16
16
16
16
16
16
0
0
0
56
56
56
8
0
0
0
0
0
0
0
1
8
8
2
8
8
32
32
32
32
32
32
0
32
17
8
8
8
0
16
8
16
0
8
8
0
0
0
0
0
16
16
16
16
36
36
36
36
36
36
8
9
8
8
5
5
5
5
4
4
33
8
16
16
0
0
0
16
16
16
16
8
8
8
16
1
16
0
0
0
8
8
8
8
8
8
0
0
8
0
0
0
0
0
1
8
8
0
8
8
8
8
2
0
0
8
8
24
1
1
19
8
2
20
20
14
14
0
0
8
8
0
0
0
0
1
1
1
1
0
0
0
32
8
32
8
0
8
8
24
8
8
1
2
0
0
1
16
16
0
0
0
32
32
8
8
0
0
0
8
8
8
8
8
8
8
8
4
4
4
16
4
4
8
8
8
0
0
0
8
8
8
1
1
0
8
16
0
8
0
8
0
0
8
8
2
2
2
16
16
16
16
16
8
8
4
4
8
8
8
0
1
1
1
1
1
1
0
0
16
16
8
4
8
8
8
8
8
8
8
4
24
24
0
32
32
0
0
8
8
8
8
20
16
8
8
8
16
16
16
16
32
8
32
8
8
4
4
4
16
16
16
0
4
4
2
0
0
4
4
16
16
16
0
0
8
8
16
8
8
1
1
1
0
0
9
9
9
0
0
30
0
2
2
2
2
2
1
24
4
4
4
16
16
16
16
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
8
8
8
28
16
0
0
0
2
16
16
8
8
16
16
16
8
8
0
8
8
8
8
8
16
16
8
8
8
16
24
24
0
8
8
8
16
16
4
4
42
32
32
32
32
16
16
16
16
16
16
16
16
16
2
2
0
8
8
16
24
24
24
24
0
2
2
2
2
2
16
4
4
0
8
8
8
24
8
8
8
8
8
8
8
8
8
8
8
8
24
24
8
8
8
4
4
4
4
4
4
4
16
16
16
2
2
16
48
0
16
16
16
0
8
8
0
4
16
0
0
0
8
0
0
0
0
0
8
2
0
0
16
16
16
16
8
8
8
22
32
32
16
16
16
1
2
3
5
5
5
1
1
2
7
7
5
1
1
8
0
0
16
16
16
16
16
24
24
24
0
0
0
28
4
4
0
8
0
0
0
8
8
2
2
2
2
0
0
8
33
1
8
8
0
0
4
4
8
2
1
0
0
0
20
4
8
1
4
1
1
16
16
16
16
16
4
0
16
0
8
8
8
8
8
8
16
0
0
0
0
0
0
0
0
0
40
8
8
8
16
16
16
0
0
8
8
8
8
8
0
16
0
0
0
0
0
0
8
8
8
4
4
18
16
16
0
0
4
0
0
4
0
16
1
16
16
16
16
16
16
4
0
8
8
32
32
32
0
16
16
16
2
2
2
16
16
16
0
4
0
32
32
32
4
32
0
0
0
1
8
24
24
24
24
0
0
0
2
2
2
2
2
8
8
16
16
0
0
16
16
4
4
4
8
1
0
8
0
0
0
8
8
20
0
0
0
0
8
8
16
16
16
16
8
8
8
8
0
4
4
4
0
4
4
16
16
18
32
8
8
8
8
8
0
0
0
0
0
0
8
8
8
8
8
6
8
0
0
0
2
40
40
6
6
6
6
6
6
4
4
4
4
4
16
8
8
0
1
16
4
14
4
4
4
4
4
0
16
8
8
8
8
0
0
0
0
2
2
2
2
1
1
1
4
8
16
16
0
0
0
48
16
16
0
0
2
2
2
0
0
0
0
0
0
0
16
4
4
4
16
16
16
16
16
16
16
8
1
1
1
1
1
8
8
8
16
16
8
8
8
16
8
16
1
0
4
4
6
6
8
8
0
0
16
16
32
32
0
0
0
0
8
8
8
8
8
0
0
0
4
4
0
16
8
0
0
0
16
16
16
1
1
8
24
8
8
0
8
2
2
8
8
4
4
4
4
4
32
8
8
8
8
8
8
0
8
8
16
16
16
8
8
8
8
8
8
8
4
4
4
8
8
0
12
8
24
8
2
2
16
0
3
3
3
0
0
0
0
0
16
2
0
16
16
16
16
16
16
16
16
16
0
0
0
0
40
40
32
32
32
4
0
8
8
16
16
16
28
0
0
8
8
4
4
16
16
16
16
16
16
16
8
16
16
2
2
0
8
8
4
4
18
8
16
8
8
0
0
0
0
24
24
24
24
24
1
1
1
0
0
8
10
8
0
0
0
8
8
4
0
2
8
8
8
0
4
4
32
32
32
28
12
16
16
16
0
16
12
4
12
4
4
12
4
4
4
8
8
16
0
0
0
0
8
24
8
8
1
4
4
22
0
0
0
0
4
4
20
56
33
16
16
1
8
8
8
8
8
2
0
20
16
16
20
8
8
32
32
8
8
8
16
8
8
0
16
16
0
8
8
16
16
16
1
1
1
1
1
1
1
1
4
8
8
8
9
11
2
2
8
32
0
24
24
24
8
8
8
8
8
0
8
20
20
20
0
0
48
48
8
16
16
0
16
16
16
4
26
4
4
1
8
8
8
16
16
16
16
8
16
16
16
32
8
8
8
8
8
1
32
32
16
8
8
8
0
8
8
16
4
4
0
0
8
8
8
8
8
8
8
8
0
8
56
56
56
8
8
8
8
8
0
0
0
20
8
8
16
16
8
16
16
16
8
8
8
32
32
32
4
16
16
16
16
16
40
8
8
8
8
29
8
20
20
20
20
0
16
16
4
4
4
8
8
8
16
9
9
0
8
16
14
0
8
32
1
8
0
1
8
0
0
0
16
8
16
16
16
16
1
4
0
8
8
8
8
16
8
8
8
8
8
32
16
16
16
2
8
0
0
0
4
0
0
0
8
8
16
16
8
8
1
1
0
0
0
0
0
0
0
0
0
0
0
33
0
16
16
16
16
16
8
8
8
4
4
4
16
16
16
16
16
16
16
0
0
0
0
16
0
1
8
8
9
8
8
8
8
8
8
8
8
8
8
8
8
24
24
2
2
24
48
48
48
48
48
8
8
50
2
2
32
32
16
16
8
16
6
6
1
1
0
1
1
1
1
4
4
4
16
16
16
16
8
8
16
16
16
16
32
32
0
0
0
0
2
8
8
8
8
8
4
4
4
4
1
1
16
16
8
8
8
8
8
8
0
16
16
1
0
32
8
8
8
4
4
4
8
8
8
2
8
8
2
2
2
2
0
8
0
16
16
4
4
8
8
8
8
0
8
8
0
0
0
52
52
52
48
17
8
32
8
51
1
16
16
16
16
16
16
16
16
0
0
16
16
16
16
16
16
26
0
40
40
40
40
40
16
16
8
8
8
8
16
16
16
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
0
16
16
0
0
0
0
6
4
0
1
1
20
16
16
16
12
8
9
9
9
0
0
4
16
16
0
8
0
0
0
8
16
16
0
16
16
0
0
1
1
8
4
4
4
8
8
16
16
16
24
8
0
0
2
8
16
1
0
20
20
16
8
8
8
0
4
2
2
0
8
2
0
0
25
24
24
24
8
8
20
28
20
20
0
8
8
1
1
1
1
8
8
8
8
32
8
8
8
8
8
8
8
8
0
0
16
16
8
24
8
8
8
8
8
8
0
0
0
20
20
20
0
0
0
4
4
4
8
8
0
8
8
4
4
4
4
4
4
8
4
0
1
8
8
16
8
8
0
0
8
8
0
2
2
2
0
0
0
0
8
8
8
8
8
16
16
16
8
8
56
8
32
32
32
32
32
8
9
32
0
0
0
16
0
16
8
8
8
0
0
0
0
0
0
0
0
2
2
2
2
0
0
0
0
16
16
16
16
8
8
2
2
8
8
16
16
16
16
8
8
9
1
49
33
10
8
8
8
8
8
8
16
8
0
0
0
0
0
0
1
1
1
1
1
8
0
0
1
1
1
1
1
50
0
1
1
2
48
0
16
8
2
24
24
8
8
2
0
0
0
4
0
0
0
0
0
24
8
8
8
4
1
16
16
0
0
0
0
0
16
16
16
0
0
2
2
0
16
16
16
16
16
16
16
6
0
0
0
0
8
8
40
0
16
0
0
0
0
8
16
8
8
8
1
16
16
16
16
40
0
20
20
20
20
20
8
32
16
16
16
32
32
32
0
0
0
1
1
16
16
0
0
8
4
32
32
32
0
20
1
16
24
8
8
8
8
8
0
0
16
16
16
16
16
0
8
8
8
8
0
2
0
32
20
8
0
8
8
25
16
0
0
16
0
0
16
8
16
16
8
8
8
8
1
1
1
1
1
4
4
4
4
0
0
1
0
0
0
0
0
8
8
8
16
16
16
1
1
8
0
0
1
16
2
2
2
2
0
32
32
24
16
10
0
4
8
8
8
0
0
0
0
8
8
8
8
8
24
16
16
16
16
16
8
8
8
8
8
8
8
0
17
0
16
16
16
14
0
0
16
16
16
16
8
8
8
8
8
8
8
8
8
56
0
0
5
4
13
13
13
4
17
0
2
8
9
9
9
0
4
0
0
0
0
2
8
16
16
0
0
0
4
4
4
1
1
1
8
3
3
1
1
9
0
0
0
0
0
0
5
16
8
8
8
8
1
8
8
8
8
0
0
0
0
0
4
8
16
16
16
16
16
16
16
16
16
6
6
4
4
32
16
8
8
8
8
8
8
4
16
16
16
8
16
16
16
16
0
32
32
32
32
26
0
0
8
8
0
0
0
8
8
18
16
16
16
2
1
1
8
16
16
16
0
0
0
0
32
56
8
1
1
16
9
1
1
16
16
2
0
0
0
0
0
8
8
8
8
8
0
16
16
2
0
0
18
18
18
18
18
18
0
0
2
2
2
16
16
16
0
0
0
0
16
8
8
8
0
41
41
4
16
18
18
1
17
0
0
20
4
2
2
2
2
16
16
16
16
16
16
16
16
0
16
16
17
1
1
1
1
1
32
8
1
8
8
20
16
1
0
0
0
0
0
0
0
0
17
1
0
0
0
0
22
22
0
16
16
16
4
4
4
10
10
4
4
0
16
16
0
2
13
1
0
32
32
32
33
32
16
16
16
16
4
4
16
16
16
0
0
8
8
16
24
0
8
8
8
8
37
24
24
8
8
22
16
16
16
2
2
33
0
0
8
8
8
8
0
4
4
4
10
0
1
19
0
0
0
0
0
16
8
8
4
16
0
12
12
8
0
0
0
0
8
8
8
12
0
0
0
16
25
0
0
8
16
16
1
1
8
0
0
2
2
2
1
4
16
0
0
0
8
8
8
24
24
24
8
8
0
0
16
8
8
8
24
8
16
16
16
16
16
0
0
0
0
0
0
0
0
0
0
8
8
8
32
32
0
16
16
4
0
4
4
4
0
9
1
9
1
2
2
8
16
8
0
4
4
4
16
16
8
16
16
0
0
0
24
24
0
0
16
8
0
1
1
0
0
16
4
0
32
32
32
1
1
1
8
8
8
8
0
8
0
0
0
0
0
16
16
16
16
8
4
4
4
0
4
4
2
0
0
8
8
40
0
8
16
24
8
8
8
8
1
1
1
1
0
0
0
0
0
4
4
4
4
0
0
0
16
0
8
8
16
16
16
0
0
2
2
50
4
16
16
16
20
20
24
8
24
0
0
0
0
0
9
8
8
0
32
32
32
16
8
16
16
16
16
16
16
0
0
1
8
2
8
32
4
16
0
20
20
8
8
0
0
0
0
0
4
9
16
8
8
2
2
0
0
0
16
8
0
0
0
0
4
0
0
8
56
8
8
0
16
16
1
16
0
0
16
16
16
16
16
24
24
8
8
8
8
8
8
8
8
8
16
16
16
2
2
2
12
12
12
8
0
16
16
16
16
16
4
4
4
4
4
4
4
4
16
0
2
32
8
8
8
8
8
0
4
0
16
16
16
16
16
0
0
8
8
0
8
9
8
16
8
16
12
12
10
10
1
2
16
8
16
16
8
8
0
0
8
4
0
0
0
8
8
16
1
17
0
0
8
0
33
32
32
32
32
32
0
0
0
0
8
8
8
8
24
24
24
1
1
8
8
8
8
8
8
32
16
16
16
16
16
19
19
16
16
1
24
24
16
16
8
8
8
16
52
52
52
8
4
4
24
24
4
4
4
16
16
1
8
8
8
8
8
2
2
32
32
32
32
8
8
8
8
0
8
8
8
0
16
16
16
8
0
8
8
8
8
16
0
16
16
16
16
16
1
1
8
16
0
1
1
16
16
32
32
32
8
16
48
1
4
4
4
4
4
4
4
4
0
8
0
0
0
0
0
0
32
0
25
25
9
18
8
24
2
16
2
2
0
0
0
0
40
40
0
0
0
0
0
8
8
16
16
16
0
4
12
4
4
1
1
1
24
24
2
2
8
8
18
16
16
2
2
2
8
2
56
48
8
8
57
57
8
8
8
8
8
8
8
8
8
18
8
16
16
19
19
19
19
8
8
8
18
18
18
24
24
4
4
4
4
8
8
8
1
0
16
16
16
16
16
0
0
1
1
32
32
16
8
0
4
8
8
8
16
16
16
10
8
8
8
32
32
32
16
16
0
8
1
17
1
1
9
14
8
8
2
8
8
8
8
8
60
8
8
16
24
8
8
8
8
8
8
8
2
2
2
2
2
2
2
0
16
16
8
32
0
8
0
0
18
8
0
0
0
20
16
34
52
1
16
16
16
1
1
1
0
8
8
8
8
16
16
16
8
16
16
16
16
0
0
0
8
0
0
0
8
0
2
2
0
0
0
0
8
8
16
16
20
20
16
0
0
0
0
8
8
16
16
16
16
1
16
0
16
16
16
16
16
8
0
8
8
8
8
8
8
16
16
16
2
48
16
8
33
1
1
1
1
1
8
16
16
8
8
16
16
0
2
8
0
16
16
16
16
16
16
16
36
36
36
36
16
4
4
0
0
0
0
4
32
8
8
2
8
0
8
0
0
12
4
4
4
9
8
17
32
8
8
8
0
8
0
20
20
13
8
8
2
1
1
1
0
0
4
0
8
0
0
4
6
8
16
16
16
0
0
2
32
32
0
4
4
18
8
16
16
16
8
8
8
8
8
0
0
16
16
0
8
8
16
0
0
0
0
0
16
16
1
0
16
8
8
8
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
0
16
16
24
0
0
18
16
16
34
32
2
8
4
4
4
0
0
8
8
8
8
16
8
4
56
0
16
16
24
8
8
0
16
0
0
8
8
8
8
8
16
16
16
16
16
16
1
1
1
8
8
8
8
24
24
8
8
8
0
8
8
4
4
4
0
17
17
17
2
16
0
0
24
24
24
24
4
4
2
2
1
8
0
16
16
16
9
1
1
0
0
0
0
0
0
0
16
16
16
0
20
20
4
8
8
0
8
8
8
0
0
1
1
0
0
4
4
12
0
0
18
28
16
16
16
0
8
6
30
2
0
0
0
1
1
1
1
0
0
32
32
32
8
8
25
25
16
16
16
16
0
16
1
18
18
16
2
2
8
2
2
2
0
0
8
4
4
20
20
4
0
0
0
1
8
32
48
32
32
0
0
0
0
34
34
34
8
16
24
16
0
0
8
0
34
8
8
8
8
16
0
0
0
0
0
0
8
16
16
2
24
0
0
0
1
1
1
0
24
8
8
0
0
0
0
8
8
16
16
16
8
0
12
28
0
0
8
24
8
16
16
0
2
2
2
2
2
6
6
0
8
16
16
16
0
32
32
32
8
8
2
0
0
20
8
8
16
0
0
16
2
2
2
8
0
1
1
8
8
8
4
8
8
8
0
8
8
8
8
28
28
8
0
8
8
8
32
32
0
8
8
8
0
0
16
17
17
16
8
8
1
1
1
1
16
8
8
16
8
16
16
16
16
16
16
16
16
16
0
0
8
16
16
16
16
8
8
1
1
1
1
1
0
1
1
18
16
16
24
24
24
24
24
24
8
8
9
8
8
8
8
0
24
24
0
0
0
0
33
1
0
2
4
2
2
2
0
16
16
0
16
8
8
8
8
0
1
1
32
32
32
8
8
8
8
10
8
8
8
8
8
0
0
8
32
32
0
0
0
48
8
16
16
22
22
4
4
8
8
8
8
0
0
2
0
33
0
8
24
16
0
0
8
8
2
18
1
8
8
8
16
0
24
12
8
0
4
0
0
4
32
0
0
32
32
2
2
2
41
32
16
16
1
1
16
16
16
0
0
0
0
0
2
0
0
0
8
8
8
0
0
8
0
0
0
0
8
8
8
8
0
0
0
1
1
1
1
1
1
8
8
16
16
8
16
2
8
8
4
4
8
8
8
0
0
8
0
8
1
0
0
16
8
8
0
0
2
16
16
8
4
4
4
4
4
4
4
4
1
8
0
8
8
16
16
16
16
8
8
8
8
16
10
10
32
32
32
32
8
0
8
8
12
12
0
0
24
32
16
0
8
16
4
4
4
1
16
1
0
0
16
16
0
8
0
1
1
0
8
0
4
4
0
8
8
2
8
8
8
24
24
24
0
2
2
0
16
16
0
0
0
24
8
49
49
8
8
8
8
16
19
16
56
16
16
16
16
0
17
17
0
1
1
32
32
32
32
32
32
8
0
8
8
44
4
8
8
0
8
0
8
8
8
16
8
8
8
16
16
16
5
0
1
1
0
8
24
0
8
0
0
8
8
0
0
8
8
8
8
8
2
2
8
4
8
16
16
16
16
16
4
20
0
4
4
8
8
8
8
8
4
4
0
0
0
0
0
0
0
0
0
0
2
4
8
8
16
2
26
16
16
8
8
8
8
2
2
8
8
8
0
0
0
0
4
4
4
4
4
4
4
4
8
8
24
0
0
16
16
16
0
0
16
16
16
16
8
2
4
2
2
2
0
8
8
8
16
16
16
16
16
16
16
16
16
16
16
2
2
16
16
16
16
8
4
12
12
1
1
1
1
0
0
0
1
16
1
1
1
1
1
9
9
9
1
17
17
8
1
3
3
3
3
3
3
0
2
8
8
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
16
16
18
16
16
16
16
0
16
16
1
1
1
24
24
24
24
4
8
0
8
24
0
0
0
0
1
1
1
1
8
24
8
8
4
4
4
4
4
16
0
8
8
8
32
32
32
32
32
32
32
32
2
2
2
24
24
24
16
16
16
0
1
0
1
0
8
8
0
0
0
1
1
0
0
2
8
8
8
8
9
9
2
2
18
8
8
8
8
4
16
18
16
8
8
10
8
32
12
12
12
12
12
12
6
6
6
16
0
9
16
16
0
16
0
6
2
2
2
2
8
8
57
57
57
1
1
1
1
1
1
16
16
16
16
0
2
2
2
2
0
0
0
8
16
8
16
18
18
18
18
18
4
14
14
14
2
2
2
0
0
0
0
0
0
24
8
8
0
16
2
8
1
1
16
0
2
8
8
8
8
8
24
8
8
25
8
8
16
0
8
1
1
8
8
8
0
0
1
1
1
4
2
2
8
16
16
16
16
7
7
8
8
8
8
8
2
18
2
2
2
3
4
16
16
24
0
0
0
8
32
32
2
2
4
4
4
4
4
1
1
1
1
0
1
1
2
16
0
0
8
0
0
0
0
8
8
8
8
8
9
8
24
16
16
50
8
0
16
16
8
8
16
16
8
8
8
8
8
2
2
2
8
4
4
4
1
1
16
16
16
8
8
8
8
16
4
4
4
4
4
8
0
0
16
24
28
0
8
8
8
8
8
0
16
16
8
1
1
1
1
1
0
8
8
8
1
16
16
16
0
16
8
0
0
20
16
8
16
16
16
24
24
8
8
0
8
0
0
32
8
0
0
12
2
2
16
8
17
8
0
8
8
1
1
17
1
8
16
16
16
16
16
16
0
0
16
16
20
0
0
1
1
1
1
16
16
16
16
16
6
0
2
4
4
4
4
4
16
8
8
4
0
8
0
0
32
0
0
0
16
16
4
4
8
24
1
8
1
1
1
1
1
1
8
8
8
8
8
8
8
16
0
24
8
4
4
5
5
5
5
8
8
8
8
16
8
8
8
8
0
8
8
8
8
8
8
8
1
8
0
24
0
8
0
0
4
4
4
4
8
8
8
8
8
0
0
0
0
60
60
60
8
8
8
8
8
8
8
8
24
8
52
52
52
0
0
1
8
8
8
8
16
16
12
1
1
0
0
8
8
8
8
0
5
1
24
24
24
28
16
16
16
16
16
16
32
32
32
32
24
0
16
16
16
20
4
24
16
8
8
0
16
4
4
8
26
0
0
0
0
16
2
2
2
2
16
16
16
16
8
16
4
16
4
4
1
1
0
4
8
8
12
12
12
0
16
11
16
16
16
16
16
16
16
16
40
32
18
8
0
0
2
4
4
4
4
4
0
0
0
0
0
0
0
25
8
16
16
8
0
0
0
0
0
8
8
8
8
4
8
1
1
4
4
32
8
0
0
4
4
4
25
32
32
32
32
1
4
1
0
24
24
20
0
0
0
16
0
16
8
8
8
8
0
0
0
8
8
8
12
0
8
8
8
16
16
16
3
20
4
4
18
16
16
16
8
8
8
8
8
1
8
8
0
2
2
2
2
8
8
8
8
8
8
32
32
32
0
8
8
8
8
8
8
8
8
8
8
2
2
0
0
0
4
4
8
0
0
0
4
4
40
8
8
8
4
8
8
8
8
42
0
16
16
8
0
8
8
16
1
0
0
8
8
8
8
16
18
4
4
4
0
0
0
4
8
8
8
2
2
16
16
2
10
18
0
8
8
1
1
1
0
0
0
0
0
0
0
0
0
16
16
4
20
4
15
16
16
2
32
32
32
8
24
24
2
2
2
2
32
8
8
0
0
0
24
0
8
16
16
16
0
0
4
4
4
4
4
4
4
0
2
9
9
8
8
0
1
1
1
1
0
0
1
1
1
48
8
8
8
2
4
0
0
16
8
8
16
16
16
4
8
4
2
8
0
0
8
8
8
8
8
8
8
0
8
12
0
2
2
0
0
0
0
17
16
16
16
16
16
16
8
8
8
20
8
16
8
8
16
0
0
9
1
1
17
17
8
8
2
18
2
2
1
1
9
9
9
1
9
8
8
0
0
0
0
40
0
1
1
8
8
8
8
0
0
32
32
32
0
16
8
8
8
8
0
16
48
16
0
0
8
8
8
8
8
8
8
8
0
0
0
0
0
0
2
0
0
8
8
0
0
0
0
0
29
0
8
8
8
8
8
8
0
1
1
16
16
2
2
2
0
0
0
8
8
24
16
16
16
16
16
16
2
2
2
8
8
8
8
20
20
16
1
8
0
20
16
4
4
4
8
8
8
16
0
0
0
32
32
48
32
1
4
52
4
1
0
8
8
8
0
8
8
8
8
16
16
16
1
16
20
20
20
48
8
8
8
8
8
8
8
8
4
4
4
1
0
0
1
1
0
0
0
2
2
2
0
0
16
28
2
9
9
40
16
16
16
8
16
16
8
32
8
0
8
8
8
0
0
0
0
0
0
0
17
17
4
16
4
16
16
12
12
16
16
16
16
16
0
16
2
2
24
24
0
16
32
16
2
2
0
0
16
0
0
16
16
8
6
4
4
4
4
4
0
1
1
1
16
16
16
1
1
0
16
1
1
1
16
16
16
16
16
8
8
0
0
16
16
16
16
16
16
16
1
1
1
1
16
0
32
32
0
0
0
0
0
0
4
0
1
17
0
8
8
16
12
12
4
4
6
49
49
0
13
0
0
8
8
0
0
4
4
4
4
16
16
16
0
8
0
0
0
4
4
4
0
0
0
0
8
32
0
16
1
1
8
8
8
4
1
1
1
16
16
2
2
8
8
16
16
16
16
16
16
16
8
8
16
16
16
16
16
16
16
16
16
8
8
8
8
8
8
8
8
0
0
0
2
8
8
8
0
0
0
0
0
24
0
0
0
52
8
9
32
32
32
8
0
0
16
8
8
8
8
16
0
0
8
8
8
16
16
16
48
48
8
8
12
12
12
8
8
16
16
0
0
4
4
0
0
5
8
8
16
8
0
4
4
0
0
8
8
4
4
4
0
0
0
0
0
8
8
8
0
0
0
0
8
2
2
0
32
32
32
12
4
16
0
0
0
0
0
0
0
8
0
16
20
20
16
8
0
0
8
8
2
16
16
24
32
8
8
0
0
0
0
0
0
16
16
16
16
16
49
49
8
8
8
8
8
0
8
8
8
8
1
8
16
24
16
16
16
16
16
16
16
1
28
4
4
4
4
8
16
16
16
16
16
16
4
0
1
8
16
16
16
16
16
9
29
8
8
0
0
0
0
16
16
16
0
0
0
16
8
8
8
16
8
8
3
3
16
16
16
16
16
17
17
8
17
1
1
1
1
0
2
0
0
0
0
0
24
16
16
32
32
4
0
0
0
8
8
8
8
8
8
8
8
8
16
56
16
8
8
8
16
0
2
3
2
8
8
40
40
16
16
8
8
0
8
8
8
8
8
8
40
4
0
1
1
1
0
0
16
8
8
4
8
8
8
8
16
8
8
2
4
0
0
0
0
0
0
0
1
1
1
8
2
2
2
2
16
8
8
8
9
0
0
16
0
0
8
16
1
1
16
16
16
0
8
8
8
0
32
32
0
0
8
8
8
8
8
0
4
4
4
17
1
1
0
0
4
4
16
53
16
16
8
0
0
8
24
32
40
8
1
1
8
8
8
8
16
24
16
8
0
24
24
8
8
8
4
4
8
8
0
27
8
27
8
8
8
8
8
9
9
9
9
2
0
1
1
1
8
8
4
24
0
6
6
6
6
6
6
6
6
16
8
8
8
8
2
16
16
16
0
0
0
0
0
8
8
0
16
16
0
0
8
8
8
0
0
1
1
1
0
1
0
0
0
0
20
0
0
0
24
8
16
8
8
8
8
8
8
24
0
0
0
0
0
0
16
16
0
0
4
4
4
1
4
0
2
2
16
8
8
8
16
16
16
16
4
4
4
16
16
16
48
32
8
8
8
0
40
40
0
0
8
0
0
8
8
8
8
8
0
0
8
8
8
24
8
2
2
2
2
2
2
8
8
8
0
16
16
16
8
16
16
1
1
0
2
0
32
20
4
12
32
32
0
8
8
4
8
8
0
16
16
0
4
16
16
16
8
20
20
4
4
36
0
0
16
0
0
8
16
16
0
0
0
0
1
1
2
6
17
16
8
32
32
32
4
4
4
4
4
8
2
2
2
2
2
2
2
2
32
32
4
8
8
4
4
4
4
8
1
1
1
2
2
2
1
1
1
16
16
16
16
16
16
16
16
8
20
12
16
16
20
0
16
16
0
0
16
16
0
0
0
16
12
12
12
2
8
8
0
3
1
8
8
8
9
9
16
4
4
4
0
8
8
1
8
8
24
24
24
24
8
8
8
0
0
0
0
20
16
4
9
0
6
6
0
2
0
1
16
24
24
24
24
0
0
0
0
8
8
8
32
32
0
16
16
16
8
8
8
0
0
0
0
2
0
8
0
0
0
0
0
0
16
16
17
17
0
16
16
0
0
4
4
4
1
20
20
0
0
0
0
16
16
16
8
8
0
16
8
8
8
8
8
8
8
0
0
28
28
28
0
0
16
16
16
0
1
8
8
8
8
26
0
0
0
32
1
1
1
24
24
24
0
0
1
4
4
4
16
9
8
8
8
8
16
0
16
16
8
8
8
40
40
32
32
32
32
32
8
8
8
8
2
2
2
8
9
9
8
8
8
16
16
16
16
8
16
16
16
16
8
8
24
24
8
0
0
0
8
8
10
8
16
16
1
1
4
4
8
4
4
4
2
2
8
8
8
4
4
16
4
4
4
16
4
4
4
4
0
0
0
0
0
0
8
32
32
48
48
8
8
32
0
4
4
4
0
4
4
16
16
16
0
8
8
8
8
8
0
0
8
8
9
9
9
8
22
8
8
16
16
8
0
8
8
8
8
8
24
2
12
12
8
8
8
8
0
0
0
2
8
16
16
16
8
8
16
16
16
16
16
16
16
9
9
8
24
4
4
4
32
32
0
0
0
0
2
2
2
2
17
8
6
0
0
8
16
0
0
0
16
8
8
16
16
16
16
16
16
16
0
0
8
8
8
36
36
36
4
4
4
4
4
4
4
4
4
4
0
1
16
8
8
1
1
1
2
0
16
0
0
16
8
8
8
16
16
16
0
0
1
1
1
8
1
16
0
0
16
16
16
4
16
1
1
1
8
8
0
24
8
8
8
4
4
0
8
5
5
8
0
8
8
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
1
1
1
1
1
16
16
32
8
8
2
2
17
16
8
8
8
8
8
8
8
0
8
8
8
8
8
8
8
8
8
8
0
0
0
8
0
0
0
16
16
0
0
0
0
17
0
0
0
4
6
4
0
2
8
8
16
16
16
2
1
2
2
8
8
8
8
8
8
4
4
0
0
0
8
16
16
16
0
4
0
0
0
24
8
32
4
0
0
4
16
16
16
16
8
0
0
16
16
16
16
16
8
0
4
4
0
0
0
0
0
0
16
2
2
3
0
8
8
21
20
20
16
16
8
8
8
10
0
0
8
8
8
37
24
16
0
8
0
8
8
8
8
8
0
0
0
8
16
18
4
0
0
2
2
0
16
16
16
4
4
4
4
8
0
8
28
0
8
16
2
2
2
16
16
16
8
24
16
16
16
16
16
0
16
16
16
0
16
16
0
4
12
0
8
0
1
0
0
0
0
0
0
1
2
10
2
16
16
16
1
0
0
16
16
16
0
0
0
8
8
8
8
8
24
6
18
2
2
2
2
2
8
2
8
8
8
8
8
32
32
32
24
24
24
0
2
8
8
8
8
32
32
32
32
0
0
0
32
0
0
8
0
0
8
8
16
20
16
16
16
2
4
8
8
0
0
24
0
0
16
21
21
26
8
8
8
0
16
16
16
8
8
4
4
0
0
0
16
16
16
0
0
16
16
16
16
16
24
24
24
24
24
16
8
8
8
8
32
32
32
32
32
1
0
0
0
0
0
16
16
16
16
16
16
8
8
1
1
8
16
16
16
0
0
0
0
0
0
0
2
8
16
16
0
0
16
16
0
0
32
32
8
8
4
8
8
2
2
16
16
16
16
16
0
1
1
1
16
8
8
8
8
32
32
17
17
4
12
24
8
8
8
4
4
1
1
1
1
2
18
0
8
16
16
1
32
2
32
16
49
17
16
9
0
0
2
2
4
4
4
0
0
0
32
32
8
8
8
8
8
8
1
1
16
16
16
16
0
0
8
0
0
0
16
8
16
16
16
16
16
24
24
8
4
16
32
0
0
0
16
0
24
24
8
8
0
0
17
17
17
17
0
0
8
16
8
6
0
48
32
32
32
0
0
0
0
0
16
8
16
16
16
16
16
16
1
1
8
24
8
8
8
8
16
16
16
0
16
32
32
0
0
0
0
8
32
32
12
12
12
0
0
0
8
8
8
8
1
8
8
8
8
16
16
8
8
2
16
8
0
0
8
8
8
8
8
16
16
16
0
0
0
0
0
0
0
0
8
8
8
8
3
2
8
8
0
0
0
24
8
0
8
8
8
16
16
16
16
0
17
17
4
4
24
0
8
8
8
0
16
8
8
8
8
8
16
0
8
8
8
8
8
32
0
8
8
4
4
4
4
8
16
16
16
24
16
1
1
1
16
16
32
16
16
3
3
3
3
0
8
8
8
0
16
8
8
16
20
1
1
8
0
0
0
16
24
24
16
0
16
16
16
8
8
16
16
8
8
1
16
16
16
16
16
32
32
0
2
8
16
16
16
16
4
4
4
8
8
24
8
8
16
16
8
8
16
4
4
4
4
4
8
0
42
4
8
1
1
4
16
16
16
16
0
8
8
4
4
4
8
20
20
20
20
16
18
0
8
8
8
8
8
16
8
8
8
1
1
1
16
8
1
1
16
16
1
1
1
1
1
0
0
0
16
16
16
8
8
8
8
8
8
16
8
8
8
16
16
8
8
8
2
24
8
8
8
8
8
16
16
16
16
16
16
16
16
16
16
16
16
16
28
28
1
8
8
2
2
0
9
9
1
0
0
0
0
0
2
1
1
8
2
2
2
16
8
8
8
8
8
16
16
32
32
8
0
16
8
16
16
16
16
16
16
0
8
8
8
8
8
8
8
8
24
6
6
0
16
0
0
0
8
8
8
12
12
2
16
16
16
21
8
1
1
1
1
4
0
18
8
8
0
0
0
5
5
5
5
5
5
5
0
8
0
1
1
1
1
1
8
0
0
42
42
42
42
8
8
1
1
1
1
1
2
0
8
16
16
8
11
4
4
55
0
10
2
4
4
16
16
16
16
24
24
16
33
1
1
8
0
0
24
24
24
16
8
22
22
0
0
0
0
0
0
0
0
0
0
0
8
8
24
39
39
39
8
8
8
8
8
8
0
16
8
8
8
8
8
8
16
16
16
16
19
19
0
22
16
0
0
0
0
8
41
41
10
10
10
10
10
10
10
0
16
16
16
0
1
1
1
1
16
16
16
1
1
1
8
8
0
0
0
0
0
16
17
16
1
8
8
8
8
8
0
0
4
4
0
0
0
0
56
56
56
56
4
4
1
1
0
0
1
1
8
8
2
2
60
60
44
16
4
4
4
32
2
8
8
0
0
0
16
16
12
0
0
50
8
8
0
1
18
2
2
2
2
0
0
0
0
0
0
0
1
9
2
2
2
2
2
2
2
2
8
8
8
16
0
8
8
0
16
0
1
0
8
8
8
8
8
16
16
8
8
2
4
0
16
2
16
16
8
0
0
25
25
25
25
25
3
2
2
2
2
32
32
32
32
0
0
1
0
32
16
48
0
0
16
16
4
4
8
16
16
16
16
16
16
16
16
16
16
16
0
2
2
1
2
2
2
2
2
0
0
12
1
1
8
8
8
8
8
0
1
1
0
0
0
2
16
16
16
16
0
0
0
1
4
0
16
0
0
16
0
0
1
1
1
0
8
8
1
1
8
8
8
8
8
16
2
8
1
1
1
1
1
52
8
1
1
1
8
8
8
8
8
8
8
8
8
0
8
8
8
8
8
8
40
8
8
8
8
8
0
0
16
8
8
16
16
24
8
0
0
16
16
16
23
23
23
8
8
8
0
8
8
0
0
0
0
16
16
8
8
8
8
8
8
8
16
0
0
0
8
0
0
0
0
0
16
42
42
32
32
8
16
0
0
0
0
0
0
0
17
17
8
1
1
16
16
8
8
8
24
24
16
16
16
0
16
16
8
27
27
27
0
0
0
16
8
16
8
8
8
8
0
4
4
16
16
20
16
16
24
1
16
8
8
8
16
16
16
16
0
8
8
8
8
0
16
0
8
40
16
16
16
0
4
8
8
0
0
0
0
0
0
0
0
0
0
1
0
0
8
48
16
16
16
0
0
16
16
2
2
8
8
8
8
32
32
32
32
32
2
6
8
8
8
8
8
8
8
16
16
16
8
8
0
8
8
4
4
0
10
10
10
0
0
0
0
16
8
8
8
8
8
8
8
8
0
0
0
8
8
0
0
16
16
13
12
8
8
8
8
0
0
8
8
8
8
16
16
8
16
16
0
8
8
8
8
8
8
8
12
0
0
40
16
16
8
8
8
1
1
0
0
0
0
0
0
0
0
0
32
32
32
1
8
8
8
8
16
16
4
4
4
16
16
16
16
16
8
8
8
0
0
8
8
0
0
8
8
4
4
0
0
0
2
8
20
20
4
4
16
8
0
0
8
8
0
0
0
12
12
12
8
8
8
8
8
8
8
2
0
0
0
8
0
0
8
8
0
0
2
2
2
2
8
8
4
0
0
1
8
16
1
8
0
0
0
2
2
16
16
4
4
16
0
0
0
0
0
0
8
8
8
1
1
8
8
8
20
8
8
8
8
8
40
0
16
12
12
12
16
16
16
16
16
16
16
16
16
16
16
25
8
25
1
8
8
34
34
34
12
16
16
16
8
8
8
8
8
8
3
3
0
16
16
16
16
16
8
16
2
11
2
8
16
16
1
25
8
0
8
0
16
4
4
4
4
4
0
0
0
0
16
16
16
32
32
8
0
0
0
7
0
0
0
9
1
1
1
8
8
8
8
8
8
8
8
2
2
2
0
8
16
16
16
0
1
1
8
8
8
8
8
8
4
4
4
0
24
16
0
0
0
0
12
8
8
8
8
0
0
8
8
8
8
8
8
1
8
8
8
8
0
8
0
0
0
0
0
0
2
2
2
2
2
0
25
25
25
25
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
1
1
0
0
0
0
0
8
8
2
8
16
16
16
2
2
16
8
8
0
0
0
0
0
1
1
0
0
0
0
4
4
2
2
2
0
12
0
0
0
1
0
0
16
16
24
24
32
4
0
8
8
16
8
0
0
8
8
18
18
0
0
0
2
2
2
2
16
16
0
0
0
0
0
16
16
8
16
32
32
16
0
0
0
2
2
8
16
16
4
17
4
4
4
4
8
8
8
8
0
12
12
4
8
0
0
8
16
0
8
8
8
16
16
0
8
24
4
0
8
8
0
0
1
1
8
8
16
1
8
0
20
20
20
20
0
8
8
8
16
0
4
4
1
1
8
8
8
16
16
32
32
32
32
32
8
8
8
0
0
0
0
0
0
0
24
24
16
0
8
8
8
2
4
2
24
24
24
8
8
8
2
16
16
16
8
8
8
0
8
8
8
0
0
24
8
8
8
0
8
8
8
8
8
27
2
2
2
0
16
16
16
16
16
16
16
12
4
4
4
4
4
4
4
4
0
0
0
0
0
8
8
4
4
4
16
18
18
18
18
18
18
0
0
8
16
16
8
16
2
4
8
17
0
1
1
2
2
2
2
16
16
0
0
25
8
49
49
0
0
4
4
4
1
11
2
2
2
8
8
8
8
32
8
8
0
0
0
4
8
8
32
32
32
32
32
32
32
32
0
0
18
18
16
0
0
16
16
40
16
0
8
32
40
8
0
0
32
32
32
32
32
16
16
24
4
48
48
0
0
0
0
0
8
16
16
16
4
4
4
4
8
8
8
16
16
2
2
4
16
16
1
0
0
40
0
0
0
2
8
10
10
2
2
1
1
1
1
1
16
1
16
16
16
0
16
16
8
16
16
16
8
8
8
8
0
0
16
0
0
8
8
8
8
8
33
0
0
0
0
0
2
2
4
0
0
8
1
0
2
0
8
1
17
16
4
4
4
8
1
1
1
1
1
0
0
20
4
4
48
48
8
8
8
8
8
16
8
0
16
16
8
16
16
24
16
8
16
8
16
16
16
16
2
2
2
2
8
6
8
8
12
4
4
16
16
16
16
2
16
16
16
16
1
16
16
16
17
0
8
1
1
1
0
0
0
0
0
2
48
40
0
8
8
0
0
0
0
4
5
16
2
56
8
32
16
1
16
32
32
0
16
16
16
8
16
16
1
1
8
8
8
16
16
1
1
23
21
21
0
8
8
8
8
8
2
2
2
4
4
1
1
4
0
0
8
8
8
24
1
6
16
16
16
24
24
8
8
8
8
8
8
2
0
0
24
8
8
1
1
1
32
32
0
0
8
8
8
0
16
16
8
8
8
8
8
0
4
4
2
2
16
32
1
1
1
1
1
1
8
25
25
8
4
8
4
0
24
4
4
0
0
2
2
2
4
4
4
26
0
8
8
0
0
0
8
8
8
8
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
8
0
0
0
2
1
1
12
16
2
24
8
8
0
0
8
8
2
2
2
8
8
4
1
1
8
8
8
4
4
2
2
2
2
2
10
49
49
49
0
0
0
1
1
1
1
1
1
1
8
24
24
8
8
8
8
8
8
12
8
16
16
1
1
4
0
16
4
0
0
8
8
8
8
8
8
24
49
8
25
8
8
16
16
16
2
2
0
8
8
8
1
0
0
24
16
16
16
8
32
32
32
0
0
0
16
16
31
0
8
0
16
16
8
8
1
0
16
16
0
16
16
8
0
0
9
0
0
0
2
2
24
24
16
16
8
8
8
1
1
1
1
1
1
48
48
48
8
8
10
10
2
1
16
0
8
0
8
0
20
8
8
0
0
0
0
8
8
1
32
32
32
4
4
0
16
16
16
24
16
24
0
8
8
18
18
32
32
32
32
32
0
32
16
2
8
8
0
8
16
16
0
0
4
4
4
32
32
20
16
16
16
16
0
17
17
12
0
0
0
25
25
0
4
4
4
4
8
32
32
0
0
16
0
1
1
1
0
2
3
8
8
0
0
0
0
16
16
8
8
8
8
0
8
0
8
8
8
8
16
8
24
8
0
0
1
33
0
10
8
0
0
0
4
4
8
8
8
8
8
16
16
16
16
16
16
8
16
24
0
0
0
0
0
0
0
0
2
20
20
20
20
20
16
16
1
0
2
2
8
16
16
0
0
0
0
0
2
2
2
8
8
8
8
8
56
16
8
8
0
37
37
16
16
16
16
24
8
8
8
3
0
0
0
8
8
16
16
8
8
8
20
8
8
8
0
17
10
8
8
8
0
0
16
24
4
0
0
8
8
8
24
16
16
24
24
8
8
8
8
8
8
16
0
8
2
2
20
20
20
20
16
16
0
0
0
10
10
24
24
16
0
32
16
8
8
0
12
12
8
8
26
26
26
2
2
2
2
40
8
8
8
8
2
24
3
0
8
40
8
2
0
0
0
0
0
2
2
0
0
0
8
24
16
16
8
0
0
16
1
19
0
0
0
0
0
16
8
16
4
4
4
4
16
16
16
1
40
8
1
1
16
1
1
1
1
0
0
4
4
0
8
8
1
16
16
16
0
8
0
0
16
16
16
16
8
16
0
4
4
17
25
2
4
4
8
0
0
0
0
12
12
0
0
16
16
0
16
16
16
8
0
0
32
8
4
4
0
0
4
4
4
0
8
8
8
8
8
0
0
16
24
24
24
24
0
4
4
4
16
32
32
32
32
24
24
24
24
52
24
2
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
16
16
16
4
16
16
16
4
8
8
8
8
8
1
0
8
8
8
16
8
8
0
6
6
6
8
4
4
1
16
8
16
4
4
9
9
16
16
16
0
16
24
2
1
1
1
0
16
16
16
0
0
0
0
0
0
0
16
0
0
0
0
0
32
1
1
1
1
18
18
16
9
9
0
6
6
6
25
25
0
0
8
37
0
0
0
8
16
0
4
1
8
0
0
0
0
0
2
0
0
12
8
16
48
16
16
8
0
0
0
0
12
32
8
32
16
22
0
0
0
0
4
8
4
0
0
0
0
0
0
0
2
6
2
16
0
8
8
0
0
16
16
16
16
0
32
8
40
1
40
40
2
1
1
1
16
2
2
2
2
2
2
2
4
18
18
16
40
40
40
0
16
16
0
0
0
0
16
0
0
16
16
2
0
0
0
0
0
20
8
8
8
25
25
25
0
0
16
16
0
0
8
8
8
8
8
8
56
32
0
24
8
16
16
16
4
4
0
32
24
8
0
20
4
4
4
0
8
8
19
0
8
24
16
16
16
2
8
8
8
8
0
0
16
8
8
8
8
4
4
8
8
0
17
16
16
16
16
0
11
31
3
3
3
3
0
4
16
16
16
16
16
8
8
8
0
0
20
8
8
8
0
0
0
8
50
50
8
4
4
16
18
8
8
2
2
1
1
16
8
8
8
8
8
1
1
1
1
1
0
16
16
0
0
0
8
8
8
2
2
2
2
8
8
8
8
8
16
0
0
0
0
0
1
1
1
8
0
0
0
2
2
16
20
20
20
20
24
24
0
16
16
16
20
8
2
2
4
4
4
36
36
0
0
0
0
0
4
4
4
4
17
17
9
9
16
17
8
8
8
8
16
1
1
16
16
16
16
0
0
16
16
16
16
4
4
4
1
1
8
11
8
0
16
16
8
0
0
8
0
8
8
8
8
16
8
8
8
10
0
4
16
16
16
1
1
7
16
0
0
16
16
4
0
28
28
24
24
2
2
2
8
8
8
8
19
16
24
24
50
16
16
16
16
8
8
8
16
16
18
4
16
16
8
8
8
18
4
4
4
8
8
8
8
24
8
4
8
0
1
1
1
0
0
0
0
0
0
16
8
8
8
16
16
16
16
16
16
16
16
36
8
0
0
0
24
1
1
1
2
2
2
8
8
8
0
16
16
16
24
18
2
9
9
9
8
17
8
8
8
8
8
8
16
16
1
4
4
4
4
4
4
8
8
8
0
0
6
6
6
24
6
0
0
16
16
8
8
20
8
4
0
16
1
8
11
10
8
16
16
16
0
8
41
41
1
1
0
0
0
0
8
8
16
16
16
0
0
16
16
4
16
16
0
8
8
16
8
0
0
8
0
0
4
10
10
24
17
1
16
16
16
4
0
0
0
0
16
8
0
0
1
1
8
8
16
16
32
12
8
8
8
8
8
8
8
0
8
0
8
8
8
16
16
16
16
16
8
8
8
16
16
16
16
8
8
8
8
8
8
16
16
19
2
2
0
8
8
1
1
32
8
0
4
4
0
8
8
2
2
2
2
0
0
0
8
8
1
16
0
9
29
29
29
24
24
1
1
9
0
0
0
0
0
0
0
0
0
0
0
20
0
0
18
8
32
0
0
0
16
16
0
8
8
8
17
49
52
20
0
16
16
0
24
24
24
1
1
1
1
0
0
0
0
1
4
8
8
8
16
16
16
16
16
8
8
0
0
0
8
8
24
8
8
16
16
32
16
8
8
8
8
8
0
8
8
0
0
8
8
8
8
2
1
1
0
8
8
8
8
8
1
1
1
4
1
0
8
4
8
0
0
0
1
0
8
2
8
8
9
0
0
0
0
8
8
8
32
32
32
32
1
8
8
3
16
8
0
8
8
8
8
0
0
4
33
33
0
0
8
8
24
8
0
4
42
42
42
42
8
16
4
8
8
16
32
32
0
0
16
16
16
4
4
32
32
32
32
20
20
20
20
0
1
24
0
16
1
1
1
1
1
1
16
16
8
8
8
16
16
32
32
32
17
17
1
1
0
0
0
0
8
8
0
0
16
16
16
0
0
0
0
8
8
8
1
1
1
0
8
8
2
2
2
8
8
4
4
0
10
8
8
8
8
8
0
0
8
2
2
6
6
0
0
0
0
0
0
0
0
0
0
33
33
33
33
0
0
2
2
2
2
16
2
2
2
2
0
0
16
16
16
0
4
4
0
0
4
4
8
0
8
0
32
8
8
16
8
8
8
27
27
0
0
1
1
1
1
1
1
1
1
1
0
0
0
0
32
32
32
16
16
0
8
16
0
2
8
8
12
12
4
32
32
0
32
32
32
1
16
16
16
16
8
32
0
1
8
8
33
0
0
0
0
0
4
4
4
4
4
0
4
4
4
4
0
0
24
16
24
24
1
1
24
12
8
16
16
16
16
16
12
0
0
4
4
4
4
0
8
0
0
9
0
0
56
56
56
56
24
16
16
16
0
4
0
16
0
0
0
16
16
4
20
2
16
8
0
0
8
8
0
0
0
8
8
16
2
1
1
4
6
16
0
2
2
8
8
16
8
2
1
1
2
18
2
16
0
3
8
8
18
18
8
16
8
8
8
16
16
0
0
32
0
8
8
8
16
0
0
16
16
16
16
8
8
0
32
34
32
32
32
32
0
8
8
8
8
0
4
8
8
8
8
8
8
8
1
0
8
20
20
4
4
1
8
8
0
8
8
0
0
0
0
0
0
0
8
8
4
8
0
0
16
16
16
16
16
16
16
16
16
4
9
1
1
4
17
1
16
16
16
16
16
16
16
0
16
16
2
6
4
1
0
0
8
4
0
0
16
4
22
4
16
16
0
0
0
0
16
0
0
0
0
0
2
2
2
0
0
8
0
40
8
8
8
8
0
16
2
8
16
16
4
4
4
0
0
8
8
8
8
16
4
8
4
1
0
0
0
0
0
0
8
8
16
16
16
0
8
8
2
0
0
16
16
16
4
4
0
10
8
1
57
57
0
0
0
0
16
16
0
24
28
0
0
0
0
1
1
8
0
8
1
1
8
8
0
0
0
0
0
1
16
24
16
0
16
0
0
8
8
8
16
8
8
8
8
8
16
8
8
0
0
8
8
8
8
16
0
0
0
0
8
8
40
0
0
1
1
1
12
0
0
1
16
2
8
8
8
0
0
8
16
8
8
8
17
8
8
8
0
8
8
8
8
8
0
8
8
8
8
8
32
0
16
8
0
0
0
1
32
0
16
8
0
0
0
8
0
8
8
8
8
4
8
1
1
1
8
8
8
8
8
4
4
0
16
1
9
9
9
0
0
0
0
16
0
2
2
8
16
16
0
0
8
32
8
0
0
0
8
1
1
1
1
1
1
0
8
16
8
8
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
2
16
16
16
16
0
16
0
4
0
58
58
58
8
16
16
8
16
16
16
16
16
16
4
8
0
0
17
0
4
4
0
40
40
40
24
24
16
8
16
16
16
2
2
0
0
0
16
0
4
56
1
0
8
16
8
8
16
16
8
8
8
8
8
8
0
0
2
16
16
8
16
8
8
8
24
24
8
8
8
8
8
0
0
16
8
8
8
1
16
24
8
0
16
2
2
2
8
16
1
8
8
1
1
26
26
26
16
24
16
16
16
16
16
16
0
0
0
0
8
8
16
16
16
8
8
0
0
1
1
32
32
6
0
8
8
4
8
8
8
2
24
16
16
0
1
8
8
24
8
1
24
24
24
24
24
16
16
16
24
8
0
20
20
2
2
2
8
1
1
8
0
0
0
18
16
2
25
25
25
16
8
0
0
16
16
1
17
0
1
1
1
1
1
1
4
2
16
16
0
8
2
2
0
24
8
0
0
8
8
0
0
0
0
4
4
16
16
16
25
24
1
25
25
25
32
32
0
0
3
35
4
4
8
16
0
0
0
0
17
17
17
16
4
4
4
0
1
8
42
42
0
8
8
8
0
0
0
0
0
17
8
8
8
8
16
0
0
32
20
0
8
0
4
4
8
8
8
8
0
11
11
16
16
0
16
17
16
4
8
1
1
1
1
1
8
1
1
1
4
4
4
16
8
8
0
0
0
8
8
8
8
8
1
8
0
0
0
0
0
36
4
4
16
16
16
16
16
16
16
0
0
0
0
1
1
16
0
8
1
1
1
1
0
8
8
8
0
1
1
16
1
1
1
1
1
1
1
16
32
32
32
12
4
4
4
2
8
56
0
0
0
17
2
2
0
8
4
4
0
0
0
0
2
2
2
4
16
16
16
8
8
8
8
0
8
8
0
0
16
16
16
5
4
7
4
4
16
8
8
0
0
9
4
1
8
8
8
8
8
1
1
1
1
4
24
24
0
16
8
8
8
0
0
32
32
32
32
32
8
28
0
0
0
8
8
8
4
4
0
8
8
12
12
12
8
8
0
36
8
8
16
16
16
1
27
8
8
8
8
8
8
8
8
16
16
16
32
8
8
8
8
8
8
8
16
16
0
0
0
0
8
8
8
16
16
0
8
0
8
8
8
8
8
16
16
16
16
8
8
16
8
8
8
8
0
4
4
4
4
4
4
0
48
8
8
8
24
6
4
0
16
16
16
16
8
40
40
8
8
8
8
8
8
8
8
16
16
16
16
16
0
8
8
8
4
4
16
16
32
24
8
8
8
8
16
16
0
8
8
8
24
8
8
0
24
24
16
8
8
1
34
34
34
34
0
0
0
0
16
18
18
16
0
0
0
8
0
0
8
8
8
24
5
1
16
16
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
8
0
40
40
16
40
40
16
0
2
2
8
8
48
48
16
16
9
0
0
0
24
24
0
28
16
16
0
8
2
2
2
4
1
8
16
24
24
24
0
0
8
8
8
8
28
12
12
4
4
8
24
8
8
8
0
0
0
0
0
14
48
16
16
16
17
23
1
4
24
0
0
0
8
1
1
1
1
0
0
12
28
8
8
10
10
16
16
8
8
8
8
18
9
9
9
9
8
8
4
0
0
4
0
0
0
24
4
16
12
9
8
0
9
9
9
0
0
16
16
8
8
8
0
6
2
2
0
0
24
32
1
1
1
1
1
16
8
0
0
8
8
8
32
32
6
6
0
0
0
32
32
8
8
0
8
8
8
8
8
1
40
40
40
40
8
8
10
8
8
8
8
8
8
17
0
0
0
0
8
8
8
0
18
26
8
0
0
0
0
0
0
0
32
32
8
8
8
1
1
1
0
0
0
1
1
1
25
8
9
2
2
2
1
1
1
1
8
30
0
4
0
16
16
0
0
0
0
4
4
4
4
0
0
8
8
1
1
0
1
1
1
1
8
8
8
4
4
16
1
1
1
0
4
12
8
16
16
16
16
0
0
16
16
16
16
0
0
0
8
8
8
8
8
8
4
4
4
0
8
8
0
8
8
8
0
0
8
0
16
8
8
0
16
0
2
0
0
2
2
0
16
8
8
0
8
8
8
8
8
0
16
0
16
16
16
4
4
0
4
4
4
0
0
0
0
8
8
8
0
8
8
8
8
32
32
16
16
0
45
40
8
8
0
0
4
4
4
16
17
17
8
8
8
8
8
0
8
8
8
5
1
0
0
0
0
0
0
4
8
0
8
16
8
16
16
16
8
0
8
4
8
8
8
17
1
32
32
4
16
8
8
3
0
0
0
8
0
4
4
4
4
8
8
8
8
8
2
0
0
8
10
2
1
1
0
0
8
4
0
16
16
0
8
16
8
2
2
1
0
0
18
16
16
16
16
18
0
0
0
6
6
6
6
8
8
8
0
0
0
8
24
24
24
24
24
1
1
1
16
8
16
16
8
24
16
16
16
16
16
16
16
16
16
16
16
16
0
24
24
0
0
16
16
16
32
8
8
8
9
9
0
0
0
8
8
8
16
8
48
32
8
8
8
8
8
8
17
16
16
0
0
8
1
0
0
0
0
0
0
8
8
0
16
1
24
24
8
16
16
16
11
10
10
10
8
1
1
1
16
16
16
16
16
16
1
1
16
13
29
1
32
32
32
32
32
16
43
8
8
8
8
8
8
16
16
24
0
0
0
8
16
16
0
0
0
32
2
0
0
4
8
22
22
0
0
16
16
16
32
8
8
16
8
8
8
16
0
5
8
8
0
0
0
34
0
4
0
0
0
8
8
8
8
16
16
8
28
8
8
0
8
8
8
2
32
32
32
32
16
16
0
16
16
34
2
2
2
2
16
1
16
16
0
8
8
16
8
8
18
18
18
20
16
16
16
8
1
1
8
8
8
32
1
1
2
1
16
16
16
16
16
16
0
2
8
16
16
16
0
8
8
8
16
0
0
0
0
32
8
0
0
0
8
16
24
16
8
8
24
0
24
24
24
24
4
8
8
8
0
40
0
8
1
1
17
17
17
17
2
4
16
0
0
8
8
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
16
16
16
16
0
8
16
20
20
16
16
16
8
8
8
8
16
16
16
16
4
16
16
8
2
2
16
0
0
16
2
2
2
2
2
16
16
1
0
6
8
6
6
16
16
16
16
16
16
18
18
18
18
8
8
8
8
0
0
0
0
0
0
0
2
2
16
16
16
16
16
16
16
16
0
0
2
24
8
16
0
0
0
0
0
0
0
1
32
32
32
32
16
16
16
16
0
0
0
0
0
16
16
16
16
16
16
0
16
16
16
16
16
16
0
0
0
8
8
24
1
1
9
9
9
9
9
9
9
0
0
0
0
18
18
18
18
18
18
18
16
16
16
16
16
16
16
8
8
0
0
2
8
16
0
0
0
0
16
16
0
0
0
16
8
8
12
17
17
8
2
2
18
0
1
1
0
0
8
16
16
16
8
0
0
0
2
2
2
8
12
8
2
2
2
2
2
2
8
8
8
8
8
8
8
0
0
0
4
4
16
0
0
16
16
16
8
8
16
8
24
8
8
8
0
0
0
0
0
0
36
32
32
0
0
0
0
8
8
0
16
16
0
0
0
0
0
0
8
0
8
8
8
8
8
0
18
16
16
16
1
4
16
16
0
0
16
16
8
8
8
1
13
1
0
0
0
0
0
0
0
16
18
0
4
4
8
1
0
0
0
8
8
2
10
10
2
2
2
2
2
2
2
8
0
8
8
16
16
16
20
20
20
16
0
8
0
8
0
4
4
4
8
8
8
8
8
8
12
8
8
8
8
8
0
8
16
16
0
8
8
8
32
32
32
32
12
0
0
0
16
8
32
32
32
8
8
8
8
0
0
8
8
0
0
0
0
0
57
57
2
0
0
0
0
16
16
41
8
16
24
0
1
1
1
1
0
1
0
0
0
0
0
0
0
2
2
0
8
0
0
0
0
4
8
16
28
28
4
16
17
17
17
8
8
8
8
24
24
24
24
8
8
8
8
8
0
0
16
16
16
4
4
4
4
4
4
0
16
16
16
4
0
18
16
8
8
4
0
0
0
0
16
16
16
16
16
16
16
4
16
16
16
16
16
16
0
0
0
0
8
2
2
4
4
4
4
0
17
17
17
48
48
0
0
8
8
8
8
8
8
8
8
2
2
48
6
0
0
0
0
0
8
8
16
9
28
28
8
8
8
8
4
2
8
8
8
2
8
4
4
4
16
16
16
0
16
16
16
16
40
4
4
4
4
8
8
20
20
20
20
20
20
24
24
0
0
0
0
9
9
24
2
0
0
0
0
8
2
3
3
3
3
0
16
0
0
0
0
0
16
24
16
16
2
18
0
0
16
0
8
4
4
6
8
16
20
20
4
4
16
32
32
32
32
32
32
32
32
32
32
4
12
12
8
8
8
0
40
8
0
18
19
0
8
8
4
8
8
1
8
8
8
6
0
8
8
8
0
0
0
8
8
8
8
8
2
16
16
16
0
2
0
0
0
0
0
24
28
24
24
24
24
0
0
1
1
1
1
1
0
8
8
2
0
0
4
2
2
32
16
16
16
16
16
16
20
25
25
25
25
25
25
16
16
8
8
0
33
0
0
0
0
0
4
4
16
16
16
32
32
8
8
8
8
22
0
0
0
16
16
16
16
10
0
19
19
0
1
16
1
1
1
1
8
16
16
16
1
1
0
0
0
0
2
8
16
0
16
16
16
0
48
48
48
40
8
2
2
24
16
48
0
36
36
36
36
0
0
0
0
0
32
32
16
0
0
0
0
0
2
8
8
16
24
24
24
2
2
20
32
8
8
8
10
8
0
8
8
8
8
8
8
8
0
0
0
0
16
24
3
8
8
8
8
20
20
20
20
16
0
0
4
4
16
0
8
0
4
8
8
0
4
4
4
8
0
8
8
8
8
8
16
16
8
8
8
8
16
16
48
48
48
19
8
16
16
16
24
8
8
8
4
12
8
8
8
8
0
1
8
8
16
16
0
8
0
0
49
49
49
0
0
0
0
0
16
0
0
4
16
16
5
0
9
9
9
4
16
16
16
8
8
8
16
0
0
0
0
0
0
0
0
0
4
4
4
8
8
8
8
8
8
8
1
1
1
8
0
0
16
2
1
1
1
1
16
16
16
0
17
8
2
2
2
2
8
8
8
0
24
8
8
32
0
8
8
8
16
16
16
16
0
8
8
0
0
16
0
8
0
16
16
0
0
0
0
8
0
8
2
2
2
8
0
0
0
8
8
8
8
40
0
16
8
8
8
4
4
8
4
16
16
16
16
16
32
32
1
1
0
4
0
0
0
16
16
16
16
16
16
16
16
0
0
0
0
0
0
0
0
0
8
8
8
20
8
8
8
8
8
2
8
8
8
8
8
8
8
40
39
0
8
8
1
8
8
8
8
16
4
4
4
4
4
0
1
16
16
16
4
4
1
1
1
0
0
0
0
16
16
16
16
8
0
0
0
0
2
33
1
1
8
8
32
1
0
0
0
8
5
4
8
0
0
0
0
0
16
16
16
8
0
0
8
0
0
8
8
8
0
0
0
0
0
21
4
8
37
8
8
4
0
0
0
0
16
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
0
0
8
24
0
0
0
48
48
48
0
16
16
0
8
0
0
0
8
16
8
16
0
0
0
0
4
4
8
8
8
8
8
8
8
8
48
16
16
16
16
8
8
8
8
0
0
0
0
0
0
0
2
0
0
0
0
8
8
0
4
4
4
4
8
0
16
0
16
16
16
16
16
16
8
8
8
8
8
8
8
29
8
8
8
2
2
2
16
2
2
2
8
8
0
0
0
0
1
1
0
0
4
4
20
4
8
0
0
2
16
8
8
8
0
0
16
0
8
0
0
24
8
8
0
0
4
1
0
8
8
8
8
8
8
1
1
2
4
4
16
16
16
0
0
0
1
1
1
1
16
8
8
24
24
16
4
5
2
2
32
18
16
0
8
2
0
0
0
4
4
4
4
8
4
8
8
8
8
8
8
8
0
0
0
8
4
8
16
8
16
0
8
0
4
4
0
0
0
8
0
0
0
0
8
24
24
24
8
8
16
16
0
0
4
4
0
0
8
8
8
8
8
8
8
0
0
0
8
8
4
4
4
16
16
16
4
12
12
4
1
1
8
0
0
0
0
0
0
16
16
16
0
0
0
4
4
0
0
16
16
16
8
8
8
16
16
16
16
16
16
16
16
16
16
16
0
0
16
16
0
32
32
32
16
8
8
8
8
8
2
2
0
0
8
8
0
8
18
16
0
0
8
0
0
24
8
16
16
0
0
8
8
16
12
8
1
8
1
1
16
8
8
8
8
8
8
8
8
8
8
8
40
0
0
0
6
6
6
2
8
0
8
0
0
0
1
8
8
8
8
8
16
1
0
1
8
8
8
32
32
0
0
0
2
32
0
0
0
0
0
0
8
32
0
33
33
33
8
8
8
25
1
16
16
8
16
8
8
8
4
2
32
32
16
0
0
0
0
0
1
1
0
0
0
0
16
0
0
8
8
8
8
8
8
0
0
0
32
40
8
8
8
8
32
8
0
0
0
0
16
8
0
16
16
16
16
0
0
32
32
32
8
8
2
2
40
8
8
8
8
8
8
8
8
8
1
1
1
1
0
16
16
0
8
8
8
8
8
8
8
0
0
8
8
8
8
8
4
0
0
8
8
8
32
32
32
0
0
0
0
2
2
2
0
16
16
16
16
16
16
16
8
8
8
8
8
8
0
0
8
8
8
9
0
24
16
24
0
0
0
8
8
8
8
20
0
2
18
16
16
16
0
0
0
16
0
8
16
16
8
32
0
8
8
8
4
16
1
8
8
8
4
12
12
12
8
8
8
8
1
8
40
40
40
40
0
8
24
0
0
0
0
0
8
34
34
8
0
4
0
0
5
4
4
4
4
4
4
0
0
0
0
16
2
2
0
0
0
2
2
16
8
16
0
8
16
16
16
16
16
16
24
24
16
16
8
8
8
0
16
8
20
0
16
16
16
8
16
0
0
20
4
0
0
0
2
0
2
2
8
8
0
0
0
32
25
25
25
8
32
32
32
32
16
10
16
16
8
8
8
8
16
16
16
8
0
0
0
0
2
0
0
0
16
16
0
0
8
8
8
0
0
0
16
0
0
0
8
16
16
24
8
8
8
8
8
8
9
1
1
4
8
8
8
8
16
16
16
8
8
0
48
0
0
4
2
0
0
0
8
52
52
0
4
4
4
16
52
16
0
8
8
8
8
0
17
17
17
0
8
8
0
16
16
0
40
41
16
16
1
0
8
8
24
24
24
16
2
8
8
8
16
16
4
4
4
8
8
8
16
8
1
1
0
0
0
2
2
2
2
16
16
16
16
24
16
16
16
16
0
0
0
8
8
8
8
8
8
8
8
0
2
32
0
0
0
0
4
16
0
0
8
8
16
16
16
12
2
12
4
8
0
8
8
16
16
8
1
0
16
16
4
0
18
18
18
18
8
8
0
0
8
8
16
2
2
0
0
2
2
0
0
8
8
8
8
8
16
0
0
0
0
8
8
8
0
0
0
63
63
16
16
16
16
16
16
12
2
2
2
2
2
2
0
24
24
8
8
16
16
16
16
16
16
16
16
0
0
8
8
8
8
8
40
44
16
16
16
16
24
24
24
24
24
2
12
4
4
8
8
8
0
0
0
8
0
8
8
0
4
8
8
16
16
16
9
8
8
8
4
4
8
8
0
8
8
0
8
8
8
8
8
8
8
8
0
12
0
8
12
0
8
0
0
0
16
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
8
24
8
16
8
8
8
8
8
0
0
0
0
0
0
4
17
8
2
0
16
16
0
8
8
8
8
8
2
2
4
4
4
4
4
0
0
0
0
16
8
8
2
4
4
4
4
16
16
16
2
4
4
4
4
40
16
16
8
8
8
8
8
8
8
0
0
0
0
0
0
8
8
12
0
0
8
8
16
4
4
4
4
24
0
8
8
8
8
4
4
4
0
1
1
1
25
17
16
16
16
8
8
16
16
0
8
8
0
0
0
0
0
25
12
12
0
0
16
16
16
16
8
8
0
24
24
0
0
0
24
0
16
4
4
4
4
0
0
0
0
0
4
4
4
16
4
0
0
1
1
2
2
2
2
4
12
12
16
16
16
0
1
1
1
1
0
8
8
16
16
16
0
0
0
0
16
8
8
8
8
8
0
0
8
0
0
0
0
9
5
1
1
8
8
8
18
16
16
8
0
0
8
8
8
4
0
0
0
0
8
0
0
0
13
13
13
0
4
0
16
50
50
1
4
4
8
8
8
8
0
0
4
4
4
0
0
0
16
16
16
16
16
16
16
16
32
48
4
4
4
4
4
4
2
0
16
16
16
16
16
16
16
8
8
8
8
8
16
0
0
0
0
8
16
16
8
8
8
8
8
8
8
0
8
12
25
44
44
1
1
16
16
16
16
0
0
0
8
8
8
8
16
16
0
4
4
8
8
8
8
8
8
8
8
8
16
2
0
0
0
0
0
0
0
8
2
40
8
8
8
8
8
1
4
8
2
2
8
8
4
0
0
32
32
32
8
8
0
0
0
0
6
6
6
6
6
24
1
1
1
0
0
4
4
4
0
0
32
0
0
0
0
16
0
0
16
16
2
2
2
2
2
2
2
2
8
8
8
8
8
4
4
4
4
32
32
4
1
1
1
0
0
0
16
0
0
16
16
16
4
4
4
8
1
16
8
8
8
8
8
4
0
0
8
16
0
0
8
8
8
8
1
9
1
0
16
16
16
8
8
8
5
4
4
24
0
0
0
0
0
0
20
1
8
8
8
0
8
8
8
8
8
8
16
16
16
4
0
16
16
0
4
0
8
0
8
8
8
8
8
8
4
4
4
8
8
8
8
8
2
2
2
2
2
16
16
16
16
16
8
8
16
0
0
16
16
8
4
4
8
16
8
0
0
0
2
0
0
0
2
2
2
2
0
0
8
16
16
4
4
4
8
16
16
1
1
17
16
0
0
32
32
40
8
1
24
24
24
24
24
8
8
2
2
18
0
0
0
0
1
1
1
0
17
17
17
16
16
0
2
2
2
0
12
0
8
8
16
1
2
1
1
4
4
0
0
0
0
0
0
0
0
8
8
16
8
1
8
0
0
16
1
8
16
16
0
8
6
6
0
0
0
0
1
1
1
16
16
16
0
1
8
8
8
8
16
32
32
2
16
16
8
8
8
8
16
1
1
8
8
0
4
4
0
8
8
8
8
2
2
8
1
16
5
4
0
0
1
1
1
1
1
1
8
8
8
16
16
16
16
16
16
16
16
6
8
0
40
40
0
8
8
24
24
24
8
8
8
2
2
2
2
2
16
16
0
8
8
8
8
16
0
1
1
16
8
8
8
16
16
36
36
2
2
2
2
0
16
16
16
1
1
8
0
0
0
0
0
0
0
0
0
0
1
0
0
4
63
0
39
0
0
0
0
0
8
8
2
16
60
0
0
0
8
8
8
8
8
0
0
0
0
0
0
0
0
8
8
16
32
8
0
0
16
16
16
1
1
1
1
1
0
8
8
8
8
0
0
0
0
0
4
8
8
0
0
24
16
16
0
1
1
1
8
8
4
4
9
9
16
16
16
0
8
8
8
20
20
8
20
32
32
8
16
16
1
1
16
8
8
8
8
8
8
16
16
0
0
0
24
4
0
2
2
2
54
16
0
1
0
0
0
8
8
8
8
8
8
8
8
8
0
0
0
0
0
0
0
16
8
0
8
8
0
0
0
16
8
8
8
24
9
9
1
16
0
17
17
24
8
4
4
16
0
2
2
8
8
8
8
4
4
2
2
2
0
0
16
16
3
3
1
1
4
4
4
4
4
8
8
8
8
8
16
16
16
16
16
8
1
1
0
8
8
8
0
0
16
16
16
8
18
8
16
8
0
8
32
4
4
0
16
0
16
16
4
0
0
0
0
24
2
8
8
8
0
0
0
8
8
16
0
16
16
0
8
8
8
8
2
2
2
12
12
16
16
16
16
16
0
8
0
0
0
8
8
8
8
8
8
16
16
16
0
8
8
8
8
0
16
16
16
4
4
4
4
0
8
41
41
0
2
2
2
4
4
1
1
1
0
0
0
8
8
0
8
0
10
10
2
2
6
2
2
1
1
1
1
1
1
8
8
8
0
0
16
8
8
8
8
8
0
0
4
4
0
0
8
8
8
8
24
1
1
8
8
8
1
9
9
32
32
32
32
16
8
8
0
0
0
2
2
2
10
2
0
16
16
8
0
0
8
8
8
0
0
0
0
0
8
16
16
16
16
8
8
8
0
20
8
56
2
8
8
8
8
8
8
1
0
0
16
16
8
8
2
2
2
2
8
8
2
2
8
2
8
8
8
0
1
24
24
24
24
24
0
2
12
12
16
1
1
3
3
16
16
16
2
8
8
0
4
0
8
8
0
24
1
0
0
0
0
24
8
8
0
30
0
25
25
25
16
16
16
16
6
8
8
8
8
8
0
8
8
16
4
4
4
4
4
8
16
16
16
32
4
0
0
0
2
0
36
8
32
0
8
16
16
0
0
4
4
4
4
4
0
18
18
8
4
4
4
4
4
16
25
0
0
16
16
1
1
1
8
8
8
1
1
8
8
8
0
8
0
0
8
4
4
0
0
0
16
16
16
16
8
0
0
4
32
32
32
24
24
16
16
8
8
16
16
16
16
16
0
16
16
16
16
1
32
1
0
8
8
16
24
24
0
0
16
16
4
2
2
2
2
32
0
32
16
16
0
0
8
8
4
4
4
1
1
1
16
32
32
0
17
17
17
17
17
0
4
4
28
0
24
0
0
8
8
3
3
3
3
32
32
32
32
32
32
2
8
8
4
8
4
0
0
0
8
8
19
0
0
0
0
16
16
24
0
0
0
0
32
16
16
16
1
16
8
4
4
4
8
0
0
0
0
8
8
0
0
4
4
4
0
25
25
16
12
8
8
12
16
16
0
8
8
8
8
18
8
0
24
24
2
2
8
8
8
8
8
8
16
16
4
21
0
0
0
1
17
17
17
0
0
0
0
2
2
2
2
2
24
24
0
8
8
8
8
8
16
16
16
4
4
4
16
16
16
20
20
16
8
8
8
0
0
8
8
16
16
16
16
16
24
33
8
8
8
8
8
0
0
8
8
8
8
8
0
0
4
4
4
4
8
1
16
8
8
0
8
8
8
8
0
0
0
0
0
0
0
0
0
4
4
16
16
16
16
24
24
16
16
16
16
0
20
48
16
16
16
16
16
16
16
0
1
1
16
16
16
16
16
16
12
8
2
17
8
8
0
0
8
8
8
0
0
8
8
8
8
49
0
1
1
1
8
0
0
8
8
8
8
16
16
16
16
16
8
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
8
8
8
16
9
9
9
9
9
9
1
1
1
1
1
20
16
1
0
8
8
40
40
23
16
16
8
8
9
9
16
16
16
16
8
16
17
4
4
1
1
4
4
4
4
4
12
2
8
0
16
16
2
0
8
40
8
8
8
8
8
1
4
1
1
8
8
2
0
0
0
0
0
8
8
8
8
8
8
16
16
4
4
4
18
16
16
16
16
16
16
16
16
16
0
0
16
4
4
4
0
0
16
16
16
16
16
16
16
16
16
16
16
8
8
8
8
8
8
16
16
16
0
2
2
8
10
0
0
4
4
5
4
4
8
4
4
8
0
16
1
16
0
8
0
0
0
0
0
0
0
20
20
20
20
4
0
16
16
4
4
4
16
16
0
0
0
4
20
8
12
49
8
1
1
12
4
32
32
32
8
17
8
0
4
8
8
1
1
8
8
1
1
1
4
4
16
16
26
8
8
4
8
8
8
1
8
8
8
0
0
0
0
0
16
8
8
8
8
8
8
16
16
2
2
5
1
8
8
0
1
0
1
1
50
50
0
8
1
1
1
0
8
8
2
4
24
1
1
1
1
1
1
1
1
32
4
9
1
16
16
16
0
16
16
16
16
16
16
16
16
16
16
17
0
1
1
1
16
8
8
0
0
8
8
2
2
8
16
1
1
1
1
16
16
0
0
0
0
0
0
0
25
4
16
8
8
8
8
4
4
8
8
8
8
8
1
1
1
8
0
48
48
0
2
1
1
16
16
8
2
2
8
8
8
8
8
8
8
8
8
8
8
8
4
4
20
10
10
10
0
0
0
0
0
0
0
0
0
8
8
9
9
2
2
0
17
8
8
32
32
32
32
32
32
32
8
8
16
16
18
18
18
8
8
28
8
8
8
8
16
16
32
32
32
8
0
0
0
0
0
0
0
40
40
40
8
63
2
16
16
4
16
16
16
24
16
16
16
0
16
2
2
8
8
17
20
20
34
32
32
16
16
16
16
16
4
8
16
32
0
8
8
8
8
0
8
8
4
4
4
1
1
40
24
0
0
0
0
16
16
8
8
1
16
1
1
8
0
8
27
16
16
16
4
4
4
32
32
48
32
0
0
24
8
8
8
8
8
8
4
16
0
16
16
16
8
11
48
0
0
0
0
8
8
8
8
0
8
0
0
0
8
8
8
8
0
1
1
1
21
5
5
16
0
8
8
8
16
2
2
0
0
0
0
0
8
0
16
16
16
2
2
8
8
8
0
0
0
0
16
50
50
50
50
16
16
8
8
8
8
0
0
0
0
0
0
0
0
0
24
8
4
0
16
0
0
0
0
0
16
16
16
16
2
8
8
8
8
8
8
8
0
0
0
0
0
0
0
24
0
0
8
8
0
8
8
16
0
1
1
1
0
1
1
8
8
8
0
8
0
0
2
0
8
0
0
8
8
8
0
17
16
40
0
0
16
16
8
8
0
8
1
16
18
16
16
16
16
8
16
0
16
16
16
16
16
16
0
4
4
4
6
8
8
16
0
0
8
8
8
8
8
16
16
16
16
8
8
1
1
1
1
1
1
1
16
8
8
8
8
8
0
8
8
2
8
8
8
8
0
1
1
26
16
0
0
16
16
16
16
16
16
16
16
16
16
16
0
8
8
8
8
8
8
8
8
0
8
8
8
8
8
8
16
0
32
32
0
28
18
18
12
16
16
16
16
16
0
0
0
0
0
0
4
8
8
8
32
8
4
1
1
1
8
8
8
2
1
8
8
8
8
8
8
8
16
8
16
8
0
0
0
0
0
1
1
16
24
8
1
17
3
3
1
1
1
8
16
16
16
0
1
18
16
0
16
16
16
8
8
16
0
32
1
1
8
8
0
16
8
8
0
0
0
0
1
2
16
0
16
16
16
8
8
8
16
16
8
1
1
1
1
1
16
16
16
16
8
24
8
8
0
7
7
1
1
16
16
1
1
0
0
0
0
1
1
1
1
1
8
0
0
8
8
16
16
16
16
16
16
0
8
4
4
16
16
1
1
12
8
8
16
16
16
0
0
0
0
4
4
0
0
0
0
0
8
8
0
0
20
16
16
16
16
16
0
0
8
8
8
8
4
0
0
0
8
32
48
16
0
36
2
4
8
8
8
8
0
0
49
24
0
8
8
4
40
1
16
16
16
16
12
0
0
10
8
1
1
8
16
16
16
16
16
1
4
4
16
12
4
8
8
0
36
16
16
0
0
0
16
8
8
8
0
8
4
4
4
4
4
4
4
4
4
1
1
2
2
8
8
8
0
1
8
16
0
0
0
16
18
0
8
8
8
8
16
16
0
0
16
16
16
16
16
16
0
24
24
24
4
0
16
16
0
8
8
0
40
40
8
8
2
8
15
16
16
0
16
16
16
16
0
0
8
8
8
8
8
16
16
4
16
16
16
16
16
16
0
1
1
1
1
8
8
0
0
0
0
0
0
0
16
0
8
8
1
1
1
32
32
32
32
2
2
2
2
2
2
2
2
2
2
2
2
2
4
4
8
0
16
3
3
24
0
0
8
8
33
33
33
16
16
16
16
16
0
0
0
1
8
8
8
8
0
0
8
8
8
16
16
16
1
1
0
16
8
16
16
16
16
0
0
0
2
32
0
0
0
1
0
0
0
0
0
0
0
0
0
2
2
2
2
1
1
1
0
8
0
16
16
8
8
8
16
0
0
8
8
8
8
8
8
8
8
0
0
8
8
0
0
1
1
4
16
8
8
8
8
0
0
8
8
8
8
8
2
2
2
6
6
16
4
4
4
8
16
4
2
2
2
8
8
0
8
3
3
0
0
16
1
1
1
0
27
27
0
0
9
9
9
1
8
0
0
0
0
0
24
24
24
0
0
0
0
8
0
8
8
16
16
16
16
8
0
0
0
0
4
4
9
0
0
0
0
0
0
0
1
1
8
1
1
11
2
16
16
16
0
0
0
4
4
4
4
4
4
8
8
0
0
0
0
0
0
8
4
0
0
16
2
2
2
2
0
1
1
1
1
2
3
2
32
32
8
24
8
8
8
4
0
0
8
28
28
28
16
0
8
8
8
8
8
0
2
8
8
8
8
1
8
8
8
8
8
0
0
0
0
16
16
16
16
32
32
1
1
1
16
0
8
4
0
0
0
0
0
16
0
0
0
0
0
8
8
16
16
16
8
2
18
18
18
0
0
0
0
0
22
22
1
24
16
16
16
8
24
4
0
8
8
2
2
2
2
0
0
0
1
1
1
1
1
1
1
0
0
0
8
8
0
2
8
1
16
0
8
8
16
0
0
0
8
8
8
8
1
0
0
8
8
8
8
4
24
1
1
9
0
2
2
16
0
24
16
17
17
17
0
0
0
8
1
4
16
16
16
56
9
1
0
0
8
8
8
8
8
28
28
28
1
1
1
0
0
16
24
0
16
24
16
16
16
16
8
0
2
2
0
17
17
4
20
20
1
16
16
16
16
16
16
16
16
1
1
1
1
1
0
1
1
1
1
24
16
4
0
0
0
0
0
0
0
8
8
0
0
0
6
4
4
4
4
4
8
8
0
0
32
32
32
0
0
0
24
8
8
0
0
8
8
8
0
17
17
8
8
8
8
8
8
16
16
16
16
16
16
16
16
4
4
4
4
4
8
1
1
32
8
1
4
16
8
8
4
16
0
0
0
0
12
12
12
0
0
0
4
0
16
8
8
16
16
16
16
0
24
8
8
16
0
9
9
0
32
40
40
8
8
0
8
8
8
12
16
16
16
16
16
16
16
16
2
2
2
16
16
16
16
0
16
8
8
8
8
0
0
9
12
8
16
0
8
24
24
24
24
24
8
8
0
8
8
1
8
0
4
16
8
8
8
8
8
8
0
0
0
0
0
0
0
16
16
16
4
1
9
9
9
9
16
16
0
16
16
2
2
2
0
0
0
4
0
0
0
0
0
16
0
25
0
0
0
1
0
0
0
8
16
0
1
1
1
1
1
0
16
16
16
16
16
8
25
25
0
27
16
16
16
2
2
2
2
2
2
2
16
8
0
0
16
16
16
16
0
8
4
2
2
8
16
4
10
8
8
24
1
16
16
16
16
16
16
16
16
16
2
16
16
16
16
16
24
2
2
4
8
8
8
20
20
20
20
0
0
0
8
8
8
8
8
8
8
8
9
9
0
8
8
0
0
16
16
16
16
16
4
4
4
16
32
32
32
32
32
32
16
16
16
16
8
8
8
8
8
8
8
0
0
8
8
8
1
1
8
8
8
0
0
17
17
16
16
2
2
2
16
2
16
16
16
0
8
8
16
16
16
2
2
4
4
8
16
8
8
0
16
16
2
2
8
2
0
0
0
4
16
16
16
16
2
0
4
8
0
0
0
8
0
16
18
2
8
8
8
8
8
8
8
0
16
16
16
0
0
0
0
4
4
4
0
1
8
0
0
0
1
1
1
0
4
16
2
2
16
0
2
16
8
0
9
9
9
9
9
9
0
0
8
8
0
0
8
8
0
33
33
33
0
8
8
8
8
16
16
20
20
4
4
4
4
8
8
8
4
4
2
2
0
16
16
2
2
2
8
16
8
0
4
16
16
16
16
16
16
16
32
1
18
18
18
18
18
18
2
2
16
8
16
16
16
9
9
0
1
8
8
0
0
24
0
0
0
0
24
0
8
8
8
8
1
8
0
0
0
0
8
8
8
16
4
4
4
4
8
8
8
8
0
20
20
8
1
1
8
8
8
8
8
2
2
8
16
1
1
1
1
1
0
0
0
1
16
16
8
2
16
16
0
1
52
8
8
8
16
16
16
16
16
2
0
8
8
8
2
2
2
2
8
8
8
8
8
8
8
8
2
16
16
12
4
4
4
4
4
0
0
0
4
4
4
1
0
0
0
0
0
24
24
8
1
0
0
0
0
4
4
12
8
16
16
9
25
0
8
8
8
8
8
8
0
0
0
4
4
16
16
0
8
3
8
8
8
8
8
8
8
8
8
8
14
14
14
14
8
8
8
8
8
16
16
8
0
8
8
8
8
8
16
8
8
0
0
0
16
16
16
16
0
0
0
0
16
0
0
0
2
10
2
18
16
16
8
8
0
0
14
14
0
0
0
0
0
0
0
0
0
0
0
0
0
24
0
0
8
0
8
8
8
17
20
16
16
16
8
8
24
8
8
0
0
16
0
16
16
0
16
16
16
0
32
32
16
8
8
16
16
16
16
0
0
0
0
0
0
0
8
8
8
8
4
2
0
8
8
8
1
1
1
1
0
0
0
0
22
22
22
22
0
0
24
16
16
16
16
1
1
1
2
2
0
0
8
33
1
1
4
4
16
16
16
0
1
1
16
16
16
26
16
16
40
8
1
1
4
8
39
8
16
16
16
16
0
17
16
16
16
16
16
16
16
1
16
16
16
16
8
17
17
17
17
16
0
0
0
0
8
8
0
0
24
24
24
24
0
0
8
8
16
16
16
16
16
16
0
0
8
8
8
1
32
32
8
8
8
8
8
8
8
2
5
4
4
8
8
8
16
8
0
0
8
8
8
8
8
8
0
0
0
0
0
8
8
8
8
8
1
9
16
24
0
0
0
0
0
0
0
0
0
8
8
0
16
16
16
16
16
0
8
20
1
8
8
8
23
8
0
8
8
0
0
0
24
24
24
24
0
0
32
0
2
2
8
0
8
8
8
8
8
32
32
32
8
8
8
8
0
0
16
16
0
4
16
24
0
0
0
8
1
12
8
8
4
4
4
4
22
16
16
16
16
16
0
0
0
0
0
0
0
8
8
0
16
16
16
16
16
16
16
8
0
0
0
0
0
18
18
18
18
8
16
16
8
0
8
8
8
8
32
32
0
0
4
4
8
0
8
1
0
0
4
4
4
4
0
0
25
25
25
25
25
25
0
4
4
8
8
2
35
0
16
0
0
0
4
0
16
16
16
16
0
32
17
8
8
8
0
0
41
41
41
41
41
41
0
8
8
16
8
8
20
20
22
22
2
8
4
4
4
4
4
32
32
32
32
32
0
0
16
16
16
16
28
28
28
0
0
16
0
1
21
0
16
8
8
8
8
8
0
16
16
16
16
16
0
0
8
8
38
38
38
0
0
16
8
8
0
4
4
8
8
1
8
8
8
16
16
4
4
8
8
0
0
2
0
8
8
8
0
0
0
0
32
16
32
32
32
32
32
16
8
8
16
0
0
8
8
16
16
0
24
24
0
0
0
8
24
2
4
6
16
0
32
32
32
32
12
12
0
8
1
1
1
0
2
2
2
0
0
32
8
0
0
8
4
4
24
24
8
8
1
0
0
0
0
8
0
0
20
12
12
12
12
12
12
12
12
8
16
16
16
16
8
1
16
16
16
0
16
6
16
2
8
8
8
8
8
1
1
1
0
0
0
8
8
2
2
4
8
8
8
2
16
2
0
24
24
24
24
24
8
8
16
8
32
48
8
8
8
1
0
0
24
16
16
16
16
8
8
8
8
16
16
16
8
0
4
4
4
4
4
0
8
8
36
36
16
4
4
4
4
4
4
4
6
30
6
16
16
8
8
8
2
2
0
0
0
16
16
16
0
22
22
8
8
2
2
2
2
8
8
16
16
16
16
16
24
0
4
3
8
4
4
4
4
8
0
20
20
20
8
8
8
1
1
1
16
16
16
8
1
13
5
4
4
0
0
0
0
0
16
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
0
16
0
0
0
17
17
0
0
0
0
0
0
0
8
0
16
16
0
0
17
17
0
4
0
0
0
0
0
0
0
0
8
0
0
1
1
1
2
4
4
4
16
2
16
16
16
18
0
0
0
0
16
16
16
0
0
32
8
26
30
8
8
8
8
4
4
4
4
24
24
24
24
0
0
0
16
16
0
0
0
24
16
20
16
16
16
16
24
16
16
16
3
3
8
8
16
16
8
58
8
0
0
32
18
24
16
0
16
20
4
24
24
4
0
1
8
8
8
8
8
8
8
0
8
24
24
0
0
9
8
1
0
0
0
0
0
0
25
0
16
16
16
8
8
8
8
0
16
16
16
16
16
10
10
16
16
0
16
2
2
0
0
0
0
0
0
0
0
4
8
0
8
24
24
24
4
4
4
4
4
4
4
0
0
8
0
0
0
0
32
8
8
8
8
0
8
8
20
16
2
2
8
8
8
0
0
16
16
0
1
1
1
1
0
0
16
16
16
0
4
26
8
8
8
8
8
8
0
1
24
24
24
0
16
48
16
16
4
8
8
8
8
32
2
2
0
0
16
16
8
0
16
16
16
16
16
0
0
0
0
0
0
0
4
4
4
0
16
16
16
2
2
2
2
2
6
1
1
1
10
0
0
0
0
8
8
20
16
20
1
1
1
1
1
1
1
1
8
8
8
8
8
0
8
8
8
1
35
8
0
8
8
0
2
8
8
16
2
2
1
0
16
16
8
8
4
0
16
16
8
8
1
1
0
0
8
2
32
8
4
4
4
4
4
4
4
2
2
2
4
4
4
4
4
4
8
8
1
0
0
4
4
4
4
8
16
9
8
1
8
8
8
8
8
8
0
0
8
8
24
2
2
2
2
9
16
8
8
8
8
16
8
16
0
8
4
4
16
16
0
0
1
0
8
0
8
1
1
8
8
8
8
8
16
2
2
0
1
0
2
8
8
8
9
9
0
0
0
0
0
16
16
16
16
16
8
2
2
8
10
32
0
0
1
0
0
0
0
0
0
8
0
4
4
8
8
8
8
8
8
16
16
16
0
32
8
16
8
8
4
20
20
16
24
24
25
28
1
1
8
0
16
8
8
0
8
8
0
0
0
16
1
0
0
0
0
16
16
8
2
2
2
16
0
0
0
0
0
16
2
4
4
4
4
1
1
1
7
8
8
61
0
0
0
0
0
24
24
24
24
24
0
2
2
2
8
8
8
8
32
0
16
16
4
0
0
0
0
0
8
8
26
27
1
1
1
8
16
45
45
45
24
8
40
40
0
27
16
24
24
24
24
24
16
20
16
16
4
8
8
8
8
0
0
0
16
16
16
0
0
0
0
0
1
8
13
29
2
2
16
8
8
8
16
8
8
8
8
8
8
8
0
0
16
4
8
0
1
0
16
2
0
16
16
16
16
16
0
24
0
0
0
0
0
16
16
8
0
1
1
1
0
4
4
4
2
8
2
2
2
16
16
29
8
8
8
12
12
16
0
16
16
16
16
0
0
0
0
16
16
0
0
0
0
8
8
8
0
8
0
4
2
2
2
2
2
8
9
0
16
16
16
4
16
5
0
8
8
8
1
8
8
0
0
0
8
40
8
8
8
8
8
8
16
0
0
8
0
0
0
0
0
0
1
16
16
16
16
1
0
16
16
0
0
8
8
24
0
0
12
12
12
0
8
0
0
4
16
16
16
16
16
16
16
16
16
28
28
28
24
24
1
16
8
0
0
24
16
16
16
3
3
24
0
0
8
8
0
2
2
2
2
0
0
2
33
2
12
8
0
0
16
16
16
8
8
53
8
0
16
12
8
8
0
0
0
0
2
0
0
0
0
48
48
48
48
0
0
0
8
8
8
8
8
8
1
0
0
0
0
16
0
24
24
8
8
1
16
8
16
1
4
1
9
1
0
0
0
0
1
1
1
0
0
0
0
0
0
16
0
16
20
2
2
2
0
0
0
0
8
8
4
4
8
36
36
24
30
0
1
1
16
16
16
16
16
16
8
16
24
16
16
40
40
20
8
8
0
0
32
32
2
12
12
8
8
0
0
8
0
4
4
24
8
8
8
8
8
8
9
9
9
9
9
9
9
8
1
8
8
8
16
8
8
8
8
8
8
8
8
16
16
16
1
0
33
0
16
8
8
8
8
8
8
8
8
8
10
10
16
16
8
8
0
10
20
0
8
8
8
8
8
6
6
18
18
18
18
24
16
0
24
8
24
16
16
1
16
16
16
16
8
24
8
18
2
2
0
0
0
16
39
8
16
16
25
25
12
12
12
4
8
8
8
0
16
4
4
8
8
8
17
4
21
0
16
16
16
33
33
3
3
16
16
2
2
2
2
2
8
8
8
8
0
0
0
8
40
8
8
8
8
8
0
16
8
1
8
8
8
1
0
8
8
8
0
0
0
0
0
1
4
0
0
12
12
0
0
8
8
8
8
8
48
48
0
8
8
8
8
8
8
8
0
0
0
0
0
0
0
0
8
8
8
0
1
0
0
8
8
8
12
12
8
8
8
8
8
8
0
13
13
8
8
16
8
8
8
8
8
8
8
4
44
32
32
32
8
16
16
16
0
0
16
16
16
16
16
2
8
0
0
0
8
8
8
8
8
8
58
58
8
8
2
2
0
0
0
0
0
0
2
0
0
0
8
8
8
8
8
2
0
8
8
8
0
0
2
2
2
8
0
0
0
0
0
0
0
12
0
0
16
8
1
1
32
32
32
0
8
6
16
2
0
0
0
0
0
0
0
0
16
16
16
16
16
8
1
8
8
8
4
8
8
8
8
8
8
8
8
2
2
2
2
2
2
2
2
0
2
8
0
0
0
8
8
8
8
8
8
8
8
8
0
0
0
0
0
0
20
0
2
16
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
8
16
16
1
2
9
9
9
12
8
4
9
0
0
0
0
8
6
4
4
4
6
1
1
1
8
0
0
0
0
4
4
2
2
2
8
8
16
16
24
24
0
8
8
8
4
0
1
1
1
1
1
17
0
8
8
8
1
1
1
28
16
8
12
12
12
8
8
8
8
8
16
16
8
8
16
16
8
8
8
32
16
16
16
16
1
1
1
16
16
16
16
16
2
16
2
16
4
0
8
8
4
8
8
8
4
4
0
0
0
53
53
16
16
16
1
1
8
8
8
0
2
0
8
16
0
1
1
1
1
0
16
16
14
8
16
16
16
4
16
0
0
8
0
8
8
8
8
8
17
8
8
8
8
8
18
0
0
0
0
0
0
16
17
4
8
8
8
8
8
0
0
16
8
32
0
0
8
0
0
8
8
24
24
0
0
0
8
8
0
0
8
1
0
0
0
0
16
8
8
8
8
8
4
4
4
1
9
0
0
0
2
2
18
18
0
1
1
1
8
8
8
8
0
0
8
16
2
5
49
0
4
2
0
8
16
16
0
0
0
12
8
8
8
8
0
0
2
4
8
8
8
0
8
2
16
8
0
1
1
8
1
8
8
16
16
0
16
16
8
8
8
9
9
9
9
1
1
0
8
0
0
2
8
2
8
8
8
0
12
12
12
0
0
4
4
16
16
16
16
16
16
16
0
0
0
0
0
8
12
16
16
0
0
0
0
8
0
0
4
4
4
4
1
1
1
16
16
16
0
8
8
40
0
0
0
0
0
0
0
0
4
4
6
4
10
8
16
16
8
0
8
8
8
8
8
8
8
8
8
8
24
8
8
8
8
8
8
0
0
16
16
8
1
1
1
0
16
16
24
8
16
16
8
13
16
17
33
33
0
0
2
16
16
16
16
38
38
38
2
8
8
8
8
0
0
16
16
1
1
1
1
8
0
16
16
0
0
17
17
17
8
8
8
2
18
4
8
8
8
8
8
8
0
0
16
16
8
8
8
8
8
8
0
4
8
8
8
1
1
0
16
0
0
2
1
16
20
16
16
16
8
32
4
16
16
8
8
8
8
8
8
12
0
0
4
4
4
8
8
8
8
8
8
16
4
17
0
0
0
0
2
2
32
0
1
1
0
4
0
0
0
4
8
8
1
24
24
24
24
8
8
0
16
16
16
16
16
8
8
8
1
1
1
8
26
14
14
8
0
8
16
16
0
0
0
0
16
16
16
8
6
6
2
36
36
2
16
16
0
17
17
0
32
1
24
0
0
0
25
25
16
0
4
4
8
8
8
8
8
8
16
16
4
0
0
17
17
16
4
24
0
0
0
24
8
1
1
0
8
8
20
0
8
8
8
1
1
16
8
8
8
24
0
2
10
8
0
1
1
16
16
16
16
16
16
16
4
4
4
0
8
8
8
8
8
8
8
12
8
8
25
20
20
8
8
8
16
1
1
1
8
16
9
8
9
9
0
8
8
0
59
59
0
0
4
4
4
8
8
16
0
8
8
8
0
0
8
8
16
16
16
4
1
26
26
8
0
8
8
8
24
24
24
8
0
0
0
18
18
18
25
1
16
20
16
0
24
24
27
8
1
1
1
1
16
4
16
16
1
0
0
0
8
8
8
16
0
0
0
32
32
16
16
16
1
1
8
8
8
20
4
12
0
2
8
8
4
16
16
16
16
16
16
16
16
16
16
16
2
2
8
8
1
1
1
1
1
1
4
2
2
2
2
2
2
16
4
16
2
2
2
32
0
16
16
16
2
24
24
24
56
8
8
0
8
8
8
4
16
1
1
1
1
1
1
1
2
8
8
4
0
0
0
1
0
16
12
12
12
1
1
1
1
1
8
8
8
32
32
32
32
32
0
1
1
1
2
2
2
8
0
0
0
0
0
0
8
10
8
8
0
0
0
4
4
8
8
32
32
32
1
1
1
0
0
24
1
0
4
4
4
32
1
1
1
1
1
2
2
2
0
0
0
8
8
8
8
0
0
16
16
16
28
28
28
28
12
16
16
16
16
16
0
0
0
0
0
20
0
0
8
0
52
0
0
8
16
8
8
8
8
8
8
0
0
16
16
16
16
0
6
16
37
16
0
1
14
0
0
0
0
16
16
16
2
2
2
2
4
0
0
0
2
2
4
0
0
0
0
0
0
8
8
8
8
8
49
49
1
1
8
4
4
4
0
4
4
4
0
0
18
2
8
0
0
1
1
2
1
1
0
0
0
2
2
2
2
8
8
8
8
8
52
52
0
8
8
8
8
8
8
0
0
16
16
2
2
2
4
0
8
8
8
24
16
32
32
1
8
56
56
56
0
0
16
32
32
32
16
16
16
2
2
1
8
8
0
0
0
0
0
16
16
16
0
0
0
0
0
0
4
4
4
4
8
8
24
8
8
2
0
0
0
0
8
8
8
8
0
16
8
8
8
0
8
8
24
24
24
24
0
0
0
24
16
16
16
16
8
8
9
24
24
4
2
0
8
8
16
16
16
16
16
16
16
16
1
0
8
8
8
4
0
0
32
32
32
32
2
8
9
0
8
17
1
3
1
1
8
8
8
8
8
16
16
24
24
0
0
0
16
16
0
0
8
16
16
0
0
0
0
0
0
0
0
17
17
4
4
4
0
0
0
16
16
24
24
0
8
8
8
8
8
8
0
2
0
0
0
0
0
8
8
8
8
8
8
8
0
16
16
16
16
16
8
8
8
0
48
5
5
0
8
8
6
1
0
0
8
8
0
16
16
16
1
1
0
0
0
0
0
8
24
8
8
8
8
1
16
16
16
4
4
1
1
17
17
0
17
8
1
16
24
0
16
16
16
16
4
4
4
4
1
4
8
0
0
0
0
8
8
8
8
16
16
16
16
16
16
16
0
16
16
16
16
16
16
8
8
8
8
8
8
8
8
8
8
8
2
2
24
32
32
32
8
8
0
0
0
0
0
16
32
0
0
8
8
1
8
12
0
8
8
8
8
8
0
8
2
2
2
8
16
19
0
0
4
4
4
8
8
24
0
16
16
8
0
0
0
0
4
4
4
0
0
0
16
2
2
8
8
21
21
16
16
16
16
0
3
8
8
8
0
0
0
0
0
16
0
1
0
0
0
8
8
1
1
1
0
0
32
32
32
27
27
27
8
8
8
8
8
8
8
0
0
0
0
0
16
16
4
0
25
6
18
18
2
8
16
18
1
4
0
0
0
0
1
1
1
1
16
0
0
0
0
32
8
16
16
16
16
16
16
24
0
10
8
8
20
20
20
20
4
0
0
0
0
1
40
24
8
8
8
8
8
34
8
8
6
16
0
8
16
16
0
41
8
2
0
8
8
8
8
8
8
8
6
6
6
6
9
9
9
9
9
22
16
16
32
34
0
8
8
8
32
32
16
8
8
8
8
8
0
0
16
8
8
8
8
8
8
0
48
48
0
1
5
8
8
0
0
0
0
4
22
0
1
1
0
16
8
0
16
8
4
4
8
16
20
0
0
0
8
8
8
0
5
5
25
25
25
25
2
2
8
0
4
8
8
0
32
32
0
0
0
0
0
1
16
17
17
17
17
17
0
8
8
8
8
8
8
26
0
0
0
16
16
8
8
8
8
6
6
6
16
16
8
8
0
0
16
16
16
24
2
2
8
0
0
0
16
16
16
0
0
0
0
0
8
8
8
8
16
16
16
16
16
2
2
8
0
0
20
4
20
20
4
28
16
8
0
0
24
28
16
1
1
25
8
8
8
0
8
2
2
8
10
10
10
10
10
2
2
2
2
2
2
16
16
8
8
8
16
16
16
16
16
16
16
0
16
16
24
0
16
8
16
16
16
16
16
8
8
8
0
17
8
2
16
16
16
16
16
0
16
16
8
10
10
16
0
0
8
12
12
0
8
8
8
8
2
8
0
0
8
8
8
24
24
24
24
16
16
8
4
2
8
16
16
16
1
1
1
1
1
1
8
8
0
0
8
0
4
4
5
4
4
4
8
2
2
2
1
1
8
8
0
0
1
0
0
8
8
8
16
16
16
0
16
24
8
16
16
24
0
0
0
16
1
1
0
0
8
1
0
0
0
0
8
8
8
8
8
8
0
8
8
0
8
8
8
8
8
8
8
8
8
8
8
0
16
16
16
16
16
16
16
0
0
20
8
0
2
2
2
2
8
8
8
0
0
0
1
1
1
1
1
8
8
8
8
9
9
9
9
1
8
0
0
16
16
16
8
8
8
8
40
8
8
8
32
32
32
32
32
8
24
16
1
1
0
0
0
0
0
0
0
0
0
0
0
0
4
30
30
30
16
4
16
8
18
8
16
16
0
0
0
0
0
0
0
0
8
8
8
8
8
8
5
2
0
0
0
0
2
2
2
8
8
16
0
16
8
16
8
0
52
8
0
0
0
0
0
0
12
12
12
12
12
12
3
3
49
32
11
40
8
4
8
0
16
4
4
2
8
16
0
0
48
8
8
0
0
2
2
2
0
17
1
1
1
0
4
4
16
16
16
0
0
16
16
16
16
4
4
8
8
8
8
56
56
0
4
4
0
0
16
0
8
8
8
2
2
2
2
2
2
2
8
16
16
16
16
16
16
16
16
16
16
16
24
8
8
8
8
0
0
0
0
0
4
4
4
4
4
4
4
20
8
0
8
8
8
8
0
28
28
9
16
16
8
8
0
4
4
18
18
16
0
0
18
18
18
18
16
2
16
0
8
8
8
8
0
9
0
0
16
8
0
0
0
0
0
8
0
0
0
0
8
8
24
28
0
0
1
1
9
9
0
16
1
8
0
8
8
0
0
0
0
0
0
18
16
16
16
2
2
1
0
0
0
8
0
16
16
40
16
0
4
1
8
0
8
28
0
0
0
0
8
8
8
32
32
32
32
16
32
40
16
16
8
8
8
8
8
8
8
0
4
4
8
8
8
16
1
0
0
8
22
4
8
1
0
57
57
57
16
16
16
6
16
22
8
8
4
0
0
24
1
16
16
16
16
16
16
16
8
9
6
0
8
32
32
2
0
0
16
16
16
0
0
0
6
4
4
4
1
1
8
8
8
0
0
4
8
8
0
0
16
0
16
16
16
4
16
16
0
0
8
8
8
8
1
0
16
0
0
16
16
16
20
16
0
2
2
2
0
16
16
0
8
8
8
8
8
8
4
4
0
5
16
0
32
0
0
0
0
8
8
10
26
10
0
8
8
16
8
0
8
8
4
4
4
4
8
8
8
8
24
2
54
16
0
8
16
16
16
16
32
32
32
16
9
8
4
4
4
0
0
6
16
16
4
0
0
0
9
9
9
9
9
9
7
7
7
7
7
0
0
0
50
50
50
8
8
34
8
8
8
2
0
4
0
0
2
2
16
16
8
8
8
16
16
16
16
16
16
23
16
2
2
2
2
2
8
17
16
8
8
1
1
1
1
1
8
24
24
24
0
0
0
42
8
8
5
16
5
5
1
1
0
32
32
32
32
32
32
32
0
20
16
19
1
1
1
4
4
4
0
0
0
0
0
0
4
8
8
0
24
8
16
0
0
16
16
0
4
4
16
16
8
8
8
0
8
8
8
8
0
0
0
0
8
8
8
0
0
0
0
0
16
16
20
8
0
12
0
0
24
8
8
16
0
0
8
8
8
16
16
16
16
8
0
0
0
0
0
0
0
0
0
0
8
2
2
2
8
0
4
16
4
0
0
16
16
0
4
0
4
4
4
4
1
1
1
16
5
8
0
32
8
0
2
4
0
0
24
1
0
8
8
8
0
8
8
0
16
0
0
16
16
48
2
0
0
24
6
0
8
0
0
24
12
0
8
0
8
16
8
8
8
1
1
1
16
8
8
8
28
28
24
24
24
0
0
0
0
0
0
0
20
4
0
8
8
8
0
1
17
0
8
8
8
0
0
0
0
0
12
8
16
8
8
8
0
0
0
16
0
0
0
16
8
4
4
8
8
8
0
0
16
16
16
4
0
0
0
0
8
8
8
0
0
8
0
0
2
2
4
4
4
16
16
16
2
2
1
12
8
8
0
0
0
0
0
12
16
24
16
8
16
8
8
4
8
37
37
37
0
34
34
8
0
4
0
8
16
16
16
16
16
8
8
8
8
0
8
8
20
24
24
1
1
1
0
0
28
24
16
16
2
8
8
8
0
24
8
8
24
16
2
2
2
56
16
16
0
0
0
16
16
16
18
0
0
0
1
0
0
0
0
0
8
8
8
1
24
24
16
0
8
8
8
8
0
34
34
0
0
0
0
8
8
0
0
0
0
8
8
8
4
4
0
2
1
1
1
8
8
8
0
0
0
8
8
1
16
0
4
2
2
8
16
0
0
8
8
8
8
2
0
8
8
0
0
0
32
24
0
4
2
0
0
8
8
8
8
0
4
4
0
0
0
4
8
0
24
16
8
0
0
0
4
4
0
0
8
8
8
8
17
0
0
0
0
0
21
8
0
0
9
9
16
36
8
8
8
8
8
8
0
0
1
1
1
1
8
8
4
1
16
4
16
16
4
16
4
4
8
8
8
1
1
1
0
0
1
0
16
16
1
0
16
4
4
4
4
16
16
24
24
16
0
0
4
8
0
0
8
8
0
0
16
16
16
0
16
16
16
0
2
2
2
4
8
8
16
0
0
16
40
2
2
2
2
0
0
8
8
0
9
9
9
9
0
8
40
40
12
14
28
0
0
0
4
0
0
0
0
0
0
0
4
0
16
16
0
4
0
0
8
8
0
8
8
8
8
20
8
8
0
0
8
8
8
8
16
16
16
8
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
0
16
16
16
0
0
0
0
0
0
0
0
0
16
0
0
8
0
16
0
8
8
8
8
8
8
0
4
16
20
20
0
0
8
24
0
8
8
8
8
0
16
8
8
0
0
0
8
0
8
16
16
16
16
16
16
16
24
0
1
4
4
0
0
0
0
0
0
8
8
3
0
58
0
0
8
8
0
0
16
0
0
0
16
8
0
0
0
10
2
8
0
5
0
0
24
8
0
0
0
12
8
0
0
0
1
16
16
2
0
8
8
24
8
0
0
0
8
8
0
0
16
10
4
8
8
12
0
0
0
16
4
18
1
2
24
8
8
0
8
32
0
8
8
8
8
8
8
1
1
16
16
16
8
0
0
8
8
8
8
0
0
2
0
32
0
0
0
0
8
8
16
0
0
4
8
8
8
8
0
0
0
0
0
4
4
4
8
8
8
0
0
0
8
16
0
0
32
24
24
0
16
16
4
4
0
2
0
16
16
1
4
1
1
1
8
16
0
0
0
18
18
18
18
8
0
0
16
0
0
0
18
0
0
0
2
2
20
8
8
0
8
16
16
16
0
16
18
8
8
8
8
8
0
0
1
13
4
4
0
16
0
0
0
16
16
16
16
16
0
0
0
0
0
16
16
0
0
8
0
0
8
8
8
0
2
0
8
8
8
16
1
8
24
4
4
0
0
2
0
1
8
0
2
2
0
0
0
0
0
0
0
0
0
0
1
17
8
8
0
26
0
0
0
0
0
0
16
8
8
8
12
12
8
8
24
8
8
0
4
4
17
24
16
16
8
16
12
12
12
0
0
8
8
8
8
0
8
8
8
0
0
0
0
0
4
8
8
1
1
1
1
1
1
1
1
1
1
20
20
16
16
0
0
0
0
0
8
8
4
25
0
20
0
0
16
16
0
0
0
6
12
8
16
16
16
16
8
8
8
8
1
1
1
1
8
0
8
0
0
0
8
8
32
32
32
0
0
0
0
32
32
26
16
16
2
24
0
0
16
8
8
8
8
8
4
8
17
0
0
8
8
32
8
8
4
4
0
0
0
0
0
0
0
16
48
8
9
8
7
4
32
0
0
28
28
2
8
8
8
8
8
0
0
5
0
0
8
16
16
16
16
8
8
8
8
32
16
0
0
24
8
8
0
16
0
1
8
8
2
2
2
8
8
0
8
8
0
8
16
1
2
32
8
8
8
8
8
8
8
40
8
8
8
8
0
4
16
16
16
0
0
0
0
4
0
0
0
0
0
16
16
0
8
2
2
2
16
0
32
32
0
8
8
8
8
2
8
0
20
20
2
17
0
0
0
0
0
1
0
0
8
3
14
0
8
4
8
8
8
8
8
8
8
1
0
0
0
8
8
8
8
0
8
8
0
0
0
0
0
16
16
8
32
32
32
0
16
5
16
16
0
0
0
0
6
0
4
8
1
0
4
0
8
10
0
8
8
8
4
0
16
16
16
16
16
16
1
1
1
1
0
4
0
0
0
0
8
8
20
20
0
2
41
0
0
2
8
8
8
0
0
0
0
2
2
2
8
8
8
8
0
36
4
32
16
16
16
0
0
8
8
8
8
8
8
14
14
0
0
0
8
0
0
0
0
0
0
44
8
0
0
8
8
8
8
0
16
16
16
8
4
0
0
0
40
0
0
0
1
16
16
18
0
0
0
0
0
0
0
0
8
8
2
2
0
0
0
0
0
8
16
0
0
8
0
24
0
0
16
0
16
16
0
16
16
8
8
8
8
8
0
0
0
2
8
8
0
0
4
4
1
8
8
8
0
0
0
4
8
8
1
1
0
9
0
9
8
2
12
12
0
16
20
0
8
16
16
0
0
0
0
16
0
8
8
0
0
18
18
20
20
0
0
0
16
16
24
16
16
16
16
0
0
16
0
8
0
0
8
8
8
12
0
0
8
8
8
8
8
8
4
4
0
8
8
0
0
0
16
16
0
20
4
0
0
0
16
0
2
0
0
0
0
1
0
0
0
0
2
4
4
4
4
4
0
4
0
16
16
8
8
16
16
0
8
8
8
16
16
16
16
16
16
16
1
0
0
2
8
8
8
8
0
8
0
24
16
55
0
16
16
16
0
0
0
16
20
16
8
4
4
8
0
16
0
0
0
0
0
0
2
0
4
24
24
17
8
8
0
0
0
0
0
16
9
9
62
0
32
0
0
16
0
0
16
16
8
4
4
0
0
0
0
0
16
16
16
8
8
8
0
16
0
2
0
0
0
1
1
8
8
8
8
8
8
0
0
0
0
0
0
0
32
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
8
16
16
16
16
0
0
0
8
8
8
8
0
16
0
4
4
4
0
1
1
8
1
0
0
8
8
8
0
0
0
8
8
8
16
16
16
8
8
0
16
16
16
16
16
16
16
16
16
4
0
0
0
4
4
4
0
0
0
0
0
8
8
4
4
4
4
16
8
8
8
4
4
0
2
8
0
0
1
0
0
0
8
32
1
1
1
1
16
0
8
0
0
16
0
8
40
32
0
0
16
16
24
24
16
20
19
19
4
4
16
0
0
0
16
0
8
8
8
16
16
4
0
0
0
0
0
0
0
0
8
0
8
0
0
0
1
2
0
8
8
8
8
0
0
16
16
16
0
16
16
8
8
8
8
8
16
0
16
0
8
8
16
0
0
16
8
12
0
0
0
0
5
8
16
8
8
8
16
8
0
41
16
0
0
0
0
2
0
0
0
0
0
8
16
14
8
8
8
0
0
4
0
0
8
8
8
8
2
2
8
0
0
0
0
0
0
8
8
8
0
0
0
0
16
16
0
8
16
0
16
16
16
0
2
0
16
16
0
4
16
16
0
0
8
8
1
1
1
1
1
8
24
0
16
8
8
0
0
16
0
0
8
25
25
8
8
0
5
0
16
16
16
8
8
2
0
0
0
0
0
4
16
8
8
0
0
0
0
8
8
8
8
8
8
8
8
8
8
24
0
0
32
8
8
8
8
0
0
8
0
16
1
1
0
0
0
0
0
24
8
0
0
16
0
0
8
8
8
8
8
0
0
28
8
16
16
0
12
0
0
0
8
24
2
0
4
4
2
2
0
0
0
0
0
0
0
0
0
1
8
24
24
16
0
0
0
2
2
8
0
0
2
16
8
8
8
4
0
8
8
8
8
0
16
0
1
1
0
8
8
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
8
8
8
8
8
8
8
16
16
16
8
8
8
1
16
0
0
8
8
8
8
0
12
2
0
0
0
0
4
4
1
8
8
8
8
8
8
8
2
2
4
8
1
0
1
1
0
8
2
24
16
16
16
16
16
16
16
16
16
8
8
8
8
8
0
0
0
0
0
8
0
0
8
1
1
1
1
8
8
16
8
8
8
8
0
16
8
16
2
2
2
28
28
8
16
8
0
0
0
2
8
8
0
0
0
0
25
25
48
0
0
8
8
0
8
0
0
0
5
4
4
8
12
16
0
0
0
0
0
0
8
0
0
8
0
16
1
0
8
8
12
0
0
0
0
0
4
0
0
32
0
0
16
16
16
8
16
0
16
16
8
33
33
4
0
0
48
0
16
0
8
8
0
1
8
8
0
24
8
8
0
16
0
8
58
58
58
8
8
8
8
8
8
8
8
8
16
0
8
0
0
0
0
16
0
0
24
0
0
0
0
0
8
0
0
3
2
36
6
4
16
16
0
0
6
0
0
0
8
8
8
8
8
0
0
0
0
8
0
0
1
16
16
0
16
20
4
4
32
12
12
16
8
8
8
16
16
10
10
0
8
8
8
8
8
0
0
0
0
8
8
16
16
4
0
0
0
2
2
2
8
8
16
0
16
8
0
4
16
16
16
8
16
16
16
0
1
1
0
8
4
4
8
0
0
4
0
0
16
0
0
14
8
8
0
0
0
0
0
0
0
8
8
8
40
16
8
8
8
8
0
0
16
16
0
8
8
0
0
0
16
8
8
8
8
8
0
16
0
0
0
0
8
0
0
0
0
0
8
0
0
0
0
0
1
4
4
4
4
4
4
4
4
4
8
4
4
0
4
4
4
0
0
12
0
8
0
0
0
8
0
16
49
8
4
4
4
0
8
8
0
0
0
0
8
8
8
16
8
8
8
8
0
0
2
0
1
8
0
8
18
0
0
0
0
0
16
8
16
0
0
2
0
0
0
13
8
8
2
2
2
0
8
22
22
0
0
8
8
8
8
16
0
4
4
4
4
20
2
0
0
0
2
2
0
0
0
16
16
16
16
16
16
16
16
16
8
8
12
0
0
0
8
8
16
16
0
8
8
16
32
8
40
8
8
8
8
8
0
0
0
0
0
0
8
0
0
2
2
16
0
0
0
0
0
0
0
0
8
0
0
0
0
8
0
0
0
2
0
8
8
8
2
2
0
0
0
0
24
8
2
2
0
0
0
0
0
0
4
20
32
32
0
8
8
8
8
32
32
0
16
8
0
0
0
4
12
8
8
0
2
2
8
28
2
0
8
8
8
8
2
2
0
0
8
17
0
16
16
16
16
0
0
0
0
0
28
4
1
5
0
8
8
19
1
1
16
16
8
8
0
0
0
16
20
20
2
6
2
2
8
8
8
8
8
16
0
8
0
8
0
17
34
0
4
2
0
0
0
0
0
8
8
8
8
8
8
8
8
24
8
16
16
16
0
0
8
8
8
8
0
0
4
4
16
8
0
16
16
16
12
12
12
8
16
2
8
0
21
21
16
8
8
0
0
8
9
9
0
8
8
8
16
17
20
4
0
0
8
8
2
8
8
8
0
1
8
0
8
0
16
20
12
12
32
0
0
24
0
24
24
0
2
16
16
16
8
8
8
8
4
4
4
4
4
1
8
10
8
16
32
14
14
8
8
8
8
24
8
0
0
4
4
4
4
4
4
4
4
8
8
8
8
8
12
16
16
16
16
0
8
8
0
4
1
8
8
8
8
0
36
36
36
4
0
8
8
8
0
16
4
2
0
0
8
0
0
0
8
24
8
8
2
2
2
4
2
2
8
8
8
2
8
0
0
0
0
8
8
8
16
16
16
16
16
16
1
4
16
8
8
0
0
2
2
0
24
24
32
40
8
0
0
0
8
0
0
8
8
8
8
8
8
0
32
12
0
0
0
0
8
4
4
24
24
0
0
0
16
16
8
1
16
8
1
1
0
0
4
4
4
8
8
24
24
24
0
8
8
8
8
8
8
8
0
24
8
8
4
0
8
8
8
8
28
16
16
0
0
0
0
0
8
8
32
32
0
0
16
16
0
8
8
16
16
16
0
4
8
8
8
0
40
1
1
6
0
0
8
8
0
0
0
0
1
1
1
0
0
0
0
0
0
0
18
1
8
8
8
0
0
24
8
8
0
0
8
0
8
0
1
1
2
2
8
0
0
8
8
8
8
8
16
0
0
8
8
8
0
4
16
0
0
12
12
0
8
8
8
8
8
0
0
2
32
8
0
0
8
8
8
8
8
0
8
2
0
16
4
0
16
16
16
16
4
24
8
8
8
0
0
8
8
0
8
0
8
1
8
0
0
0
0
0
8
0
32
0
1
17
17
17
4
8
0
16
0
20
0
2
2
2
8
0
3
16
16
8
16
4
8
0
0
0
4
0
0
0
4
0
8
8
16
16
8
0
8
4
4
4
16
16
8
4
0
22
16
2
2
0
0
16
8
8
12
0
0
24
0
0
0
8
36
4
4
0
8
8
8
8
8
0
16
16
1
1
1
8
0
2
0
0
8
8
8
8
8
8
0
0
0
0
24
24
32
8
0
0
0
8
8
0
8
8
8
8
0
0
2
2
0
0
24
0
0
0
16
18
8
8
8
8
16
0
0
0
16
16
4
22
0
0
8
0
8
0
0
4
2
16
16
0
8
38
0
0
0
8
8
32
32
32
32
16
0
16
0
16
16
28
28
0
8
0
8
0
0
0
0
24
0
0
0
0
0
0
0
0
0
24
16
4
4
0
0
0
8
8
0
16
0
0
18
18
32
0
0
0
0
0
16
16
16
0
0
0
0
0
32
8
8
16
8
8
32
0
0
16
16
0
0
0
8
8
8
8
16
0
0
0
8
16
16
0
8
10
10
2
8
8
8
8
12
12
4
0
2
0
0
0
0
0
16
16
16
12
0
8
8
8
0
0
16
8
8
8
0
0
0
0
0
0
1
16
16
8
0
0
0
8
0
12
4
8
8
0
0
0
0
0
4
0
0
0
8
0
8
0
60
0
2
8
8
4
8
8
8
8
8
8
0
0
8
8
2
0
0
8
12
0
0
0
0
0
0
12
0
0
8
8
8
8
2
2
0
0
8
8
20
20
8
16
0
0
8
0
0
0
6
0
0
0
2
2
16
8
16
8
20
0
0
16
40
8
0
4
8
18
18
0
4
4
4
0
0
16
0
4
0
16
8
0
0
4
16
16
24
24
24
0
2
2
0
32
41
16
16
25
8
8
0
0
8
24
0
24
24
24
17
0
0
0
0
16
0
6
22
0
0
16
0
4
4
32
0
16
16
0
9
9
9
6
28
28
0
4
4
8
24
0
0
0
0
0
3
0
0
16
8
8
0
8
16
16
16
24
24
24
24
24
0
0
0
0
0
0
0
0
0
8
24
8
16
2
0
18
29
8
8
8
8
8
2
2
2
2
2
16
16
16
0
16
8
0
16
0
32
0
0
0
0
18
18
4
8
0
0
0
8
8
16
1
16
16
16
16
16
0
8
8
16
0
8
32
32
32
8
8
0
0
0
8
2
2
2
0
0
0
0
27
0
18
8
20
8
8
8
16
32
8
8
8
8
0
0
16
4
16
0
0
17
17
0
0
0
8
0
8
9
8
8
24
17
1
1
1
0
0
8
0
0
16
0
0
4
4
0
8
0
4
4
10
2
16
16
2
24
0
0
0
0
1
0
4
4
0
1
1
1
0
0
0
16
4
8
0
16
8
8
16
16
8
8
8
0
8
0
0
0
0
4
4
0
4
4
0
0
0
0
8
9
8
8
0
0
0
0
0
4
4
2
0
16
0
2
2
16
16
16
16
26
48
32
0
4
4
4
4
4
4
4
8
8
5
5
5
0
8
56
0
0
0
0
0
8
16
16
8
8
8
8
0
0
4
0
8
0
0
0
0
8
8
16
16
16
0
16
0
0
0
8
8
16
0
51
24
24
8
6
4
2
0
0
16
24
56
56
16
16
0
8
8
0
16
0
4
0
8
8
12
0
0
0
8
0
16
1
16
8
8
1
1
5
0
0
0
4
4
16
8
8
0
0
8
4
4
2
2
8
2
8
8
8
0
0
8
8
8
8
0
0
8
8
4
4
0
0
0
0
0
8
8
0
0
0
1
1
0
8
8
0
0
0
2
2
0
0
0
8
8
8
0
0
0
0
24
0
16
8
8
16
16
0
0
0
4
4
0
16
8
8
0
2
16
8
16
16
8
8
4
0
16
0
0
2
0
2
0
1
8
0
0
0
0
0
0
0
16
16
16
16
16
0
0
8
8
8
4
4
1
16
0
0
0
0
4
4
4
4
8
8
8
1
1
8
8
8
0
0
1
8
16
16
0
0
32
32
8
8
8
8
8
0
0
0
0
0
0
8
10
16
18
2
8
8
8
8
0
0
0
8
0
0
0
0
32
32
32
0
0
8
0
8
8
8
8
8
8
0
0
16
16
4
4
0
0
1
2
1
1
8
0
48
48
2
2
2
2
18
16
0
0
0
0
0
8
8
0
0
8
10
8
8
8
8
4
0
16
16
16
16
0
16
2
0
16
16
16
16
8
8
8
0
8
0
8
8
8
0
0
0
8
0
0
16
16
8
4
4
4
16
17
16
16
8
22
32
32
32
4
10
0
0
8
0
0
8
8
2
8
8
8
8
8
0
1
1
8
0
8
0
18
18
0
0
16
60
0
0
8
8
24
24
12
16
16
16
16
16
0
1
1
1
8
8
0
0
0
0
0
0
0
4
4
9
8
8
1
8
8
4
4
4
4
11
0
0
0
0
0
24
8
8
24
0
0
16
16
0
0
0
0
1
8
1
0
4
8
0
4
20
4
0
0
8
8
0
0
0
16
16
16
16
16
32
16
16
8
2
2
0
0
16
8
8
32
32
0
0
36
8
8
8
0
0
0
32
0
16
0
18
0
0
0
0
4
0
0
0
8
8
24
0
0
0
0
0
0
0
0
0
1
1
1
0
4
8
4
4
4
0
0
13
0
8
8
0
2
1
2
8
0
16
16
0
0
0
0
0
0
0
2
0
0
16
16
8
4
8
8
8
8
24
16
0
0
0
4
8
8
8
8
8
16
16
16
16
16
16
16
16
8
8
0
0
0
0
0
24
24
24
24
24
4
0
16
0
0
0
16
16
24
24
2
0
8
8
8
8
32
32
0
0
16
4
0
0
0
8
0
0
0
8
0
0
0
8
8
0
0
8
0
0
0
16
16
16
8
8
8
8
8
16
0
16
0
16
8
8
8
8
8
0
8
18
18
0
8
0
2
0
8
2
2
0
8
0
0
0
0
0
4
4
0
8
8
8
0
8
2
24
8
8
8
8
1
18
18
4
0
4
4
16
14
6
8
0
0
16
40
0
1
0
0
2
2
2
2
0
0
4
4
4
4
8
0
0
0
8
8
8
8
0
8
12
12
0
0
0
0
8
8
5
16
16
16
8
8
8
16
8
16
16
16
8
8
8
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
4
20
8
8
0
0
0
4
4
4
4
4
0
2
2
8
0
1
0
0
4
0
0
0
0
0
0
4
8
8
0
8
0
8
8
8
8
0
0
32
0
0
4
4
4
8
8
0
8
0
4
0
0
0
0
8
8
9
8
0
0
0
0
0
0
0
8
8
8
8
0
8
0
4
8
8
8
0
16
32
32
0
8
16
0
0
16
16
0
12
0
0
1
1
1
24
24
24
8
8
8
8
8
16
0
4
4
4
8
8
8
8
0
8
9
0
8
8
4
4
8
0
0
0
8
24
24
8
8
4
4
8
8
8
8
8
16
0
0
16
0
4
2
2
48
48
0
0
16
8
0
0
0
0
10
10
10
0
0
4
4
4
0
0
0
0
8
8
0
8
8
8
8
1
0
0
0
0
0
8
0
0
4
4
0
2
24
0
0
4
1
0
8
8
8
0
8
16
16
16
16
16
8
8
14
8
8
0
0
0
8
0
0
0
0
0
8
8
0
4
4
1
1
0
16
16
6
0
0
18
18
16
16
16
8
8
0
18
18
0
0
1
1
1
0
8
12
0
8
4
9
0
0
8
1
16
16
8
8
16
17
17
5
5
8
0
0
8
0
0
0
0
16
0
0
8
8
8
4
8
8
8
25
25
0
0
56
56
0
0
23
8
16
16
0
8
0
24
2
16
8
8
8
16
20
6
0
24
0
0
8
4
4
12
8
8
0
0
0
16
0
32
32
32
4
1
1
0
8
16
0
0
8
0
0
44
1
1
0
12
8
8
0
30
16
16
16
16
16
0
8
8
8
0
2
32
0
0
0
0
0
16
0
16
0
0
0
0
0
0
0
8
0
8
16
8
4
4
0
0
0
4
0
0
0
8
8
8
0
0
0
0
16
0
16
8
16
0
0
20
0
16
24
0
0
0
0
8
8
25
8
0
16
16
2
8
4
4
4
16
0
16
16
0
0
16
16
16
16
16
8
8
8
8
8
0
16
8
8
24
16
8
8
8
52
52
2
8
9
9
0
0
2
16
16
0
0
24
16
16
0
8
0
0
0
0
0
0
1
1
16
16
16
0
0
0
0
0
8
24
0
0
1
1
8
8
8
0
2
0
0
0
8
0
0
0
0
0
0
4
0
16
7
16
16
0
8
0
32
32
32
0
0
0
0
1
3
1
4
4
0
0
0
0
0
0
0
60
25
0
0
8
8
0
0
20
8
8
32
32
0
0
0
24
24
24
24
24
24
24
0
0
0
0
0
0
8
8
4
24
0
8
0
8
0
0
0
16
16
16
0
0
0
16
0
18
8
8
8
0
0
0
8
8
4
8
8
8
8
0
4
0
0
8
16
8
16
1
1
0
8
8
18
2
2
0
8
0
17
8
8
8
8
0
0
0
0
0
8
8
8
9
9
16
8
8
8
8
0
0
0
0
0
0
4
8
8
0
8
0
0
0
4
0
0
2
0
8
0
0
8
8
1
1
4
8
0
0
0
0
8
1
0
0
0
6
6
0
0
0
0
9
8
0
0
10
48
8
4
8
8
8
16
16
16
16
16
0
0
0
16
0
20
20
8
32
8
2
24
0
0
1
1
0
41
16
0
16
16
16
16
16
16
16
16
16
16
16
1
1
1
1
1
1
1
1
1
0
0
4
1
8
8
16
0
0
0
1
32
9
13
0
8
1
1
0
0
0
0
8
8
8
1
8
8
8
0
0
0
8
8
16
0
0
16
8
8
8
0
0
0
4
8
10
10
10
10
8
1
0
1
16
8
8
8
0
0
0
0
0
16
0
0
4
8
8
0
8
0
8
2
2
8
8
8
16
0
1
16
4
4
8
18
18
9
8
8
8
8
0
8
9
25
9
0
0
8
0
2
2
2
16
8
4
4
8
8
8
8
0
0
1
1
1
0
0
0
0
0
0
0
16
16
8
8
8
8
16
0
0
0
0
4
4
4
4
4
0
0
8
0
16
8
8
0
0
0
0
16
1
8
8
8
16
8
8
0
0
0
32
32
8
8
3
4
8
0
0
8
8
1
1
16
0
0
0
0
4
4
24
24
8
32
1
16
0
2
8
8
8
61
8
16
0
1
0
0
8
0
0
0
8
8
8
18
0
0
0
0
1
16
24
16
0
0
8
2
8
8
8
0
16
16
4
0
0
16
8
4
32
0
0
0
0
4
16
16
16
8
16
16
8
16
16
16
8
2
2
24
8
0
0
0
0
0
0
32
32
32
8
0
0
0
0
0
0
0
4
4
0
0
0
14
14
8
4
0
8
12
0
16
16
1
1
1
8
0
8
1
0
0
0
0
2
2
2
0
24
24
24
48
2
2
8
8
8
0
0
8
8
0
24
16
16
8
16
16
0
0
0
8
8
16
0
8
0
0
0
0
0
32
0
0
8
16
16
0
8
16
16
0
8
8
0
0
8
12
12
12
0
0
8
8
8
8
8
8
8
8
8
8
0
0
0
0
8
8
8
8
0
0
24
24
24
0
16
0
8
0
0
12
4
0
0
0
2
8
16
16
2
8
8
8
8
0
2
16
17
1
1
0
16
8
8
4
4
4
4
0
2
0
0
4
0
16
0
8
2
0
0
8
2
16
0
8
0
0
8
24
1
1
8
8
16
8
2
2
8
30
30
1
1
0
0
0
1
1
1
1
1
1
1
0
0
8
8
8
16
16
16
8
16
16
8
16
8
0
0
0
16
0
24
16
8
8
8
8
0
16
16
0
0
0
0
6
0
0
2
16
1
8
20
16
0
0
0
0
0
0
2
8
0
0
4
8
0
8
16
0
0
0
0
16
16
16
0
16
16
8
16
16
16
0
1
0
0
0
0
0
0
0
0
0
2
8
8
8
2
16
8
8
0
8
0
32
16
24
16
8
0
16
8
8
0
8
8
0
0
0
8
4
8
8
0
0
0
0
0
0
0
0
8
8
0
16
8
8
10
8
0
0
8
8
8
1
1
1
4
4
2
2
12
8
10
0
0
8
1
0
0
0
0
16
0
0
16
0
0
4
4
8
8
2
16
16
0
4
4
16
0
0
1
8
0
4
16
16
8
8
0
0
1
26
16
16
8
0
20
0
0
16
0
2
0
8
8
8
8
0
16
8
8
8
8
14
2
2
16
16
0
1
4
4
0
0
2
2
2
2
8
8
4
4
4
0
0
8
0
0
0
16
12
8
0
0
0
0
0
0
0
16
0
0
8
8
8
16
16
0
16
16
0
0
0
4
0
16
8
0
8
0
1
5
16
16
16
16
0
0
32
16
8
8
0
8
0
0
0
0
8
0
0
0
0
8
8
20
22
4
1
8
8
1
0
8
8
8
8
8
8
16
16
16
12
16
8
8
0
1
1
5
8
8
8
16
0
0
0
2
0
2
2
12
0
48
48
48
48
48
48
48
48
48
8
9
8
16
0
24
0
28
16
16
0
0
0
0
0
0
28
16
0
4
4
4
4
0
0
0
24
0
2
2
16
16
0
0
0
8
32
0
0
8
8
0
0
8
0
0
16
8
8
2
2
2
0
16
16
0
0
8
8
8
8
8
8
8
0
0
4
0
28
8
8
0
0
2
2
2
0
0
0
0
16
16
2
0
0
4
8
0
0
8
0
0
0
0
0
8
8
0
16
0
8
8
0
0
20
16
4
16
20
40
4
0
16
16
1
4
0
0
8
0
1
1
0
8
0
0
0
8
0
0
8
8
8
6
4
0
16
16
0
8
8
8
10
0
4
4
4
4
8
8
0
0
0
8
8
8
16
8
1
32
26
10
10
0
2
2
0
0
0
8
8
8
8
8
8
32
4
24
24
0
0
8
8
0
24
16
0
8
8
8
8
12
12
1
1
1
0
0
16
0
8
16
16
8
0
16
16
0
5
0
4
4
0
0
8
8
2
2
8
8
0
16
8
8
8
4
24
8
8
0
0
8
0
8
0
16
0
16
16
32
60
0
0
8
16
16
0
0
0
4
0
0
16
0
0
16
16
8
8
0
2
2
2
8
8
8
8
8
8
8
2
2
0
0
0
0
0
4
8
8
8
0
0
0
0
0
9
0
0
0
40
0
0
0
2
0
16
16
0
2
2
2
2
2
0
0
4
4
4
8
16
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
8
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
0
0
0
0
0
16
0
0
0
0
8
8
22
2
24
0
18
0
0
0
16
0
1
8
8
8
8
0
16
24
8
2
2
8
8
16
16
16
0
8
4
8
8
8
0
0
0
0
8
16
0
0
0
24
24
24
24
32
32
32
8
0
9
2
0
17
0
8
8
8
8
8
20
20
0
8
8
0
0
0
0
8
0
0
0
4
8
0
0
2
8
0
24
2
8
8
8
8
8
8
0
20
2
2
2
16
16
16
16
8
8
8
8
8
8
8
0
0
1
0
0
0
0
0
0
1
1
1
17
17
17
17
6
6
6
6
6
28
16
0
0
0
0
0
2
2
32
8
8
0
0
0
4
0
8
8
8
8
4
0
0
0
0
24
8
8
1
0
0
16
0
4
4
32
8
8
1
1
1
1
12
12
12
0
0
42
0
0
8
8
8
8
8
1
1
1
1
1
0
8
8
4
4
0
0
24
0
20
20
0
0
36
16
0
0
0
0
6
2
0
0
0
0
0
0
0
0
0
0
8
8
16
16
8
0
26
26
0
1
0
0
9
16
16
8
0
0
16
8
16
1
8
8
8
8
0
16
0
0
0
0
0
0
24
16
48
48
0
8
8
0
0
0
32
0
16
16
0
4
4
4
16
16
16
0
0
4
0
4
4
4
8
8
0
1
8
8
8
0
16
16
16
0
1
0
0
0
0
4
4
16
24
0
0
8
8
8
8
8
16
16
8
0
8
8
0
0
0
24
24
24
24
24
24
24
0
4
0
0
4
2
16
16
16
16
1
8
8
0
0
8
18
0
0
0
0
0
0
0
0
0
8
2
32
16
4
8
0
0
0
0
0
0
16
16
16
1
1
1
0
0
0
0
0
0
16
16
0
0
0
8
0
4
32
32
8
16
16
16
16
16
0
4
8
8
8
8
12
8
8
8
16
16
16
8
8
8
0
0
25
0
0
0
8
8
4
4
0
8
0
8
0
4
0
8
8
8
8
8
16
16
16
2
6
16
16
16
16
0
0
4
4
4
8
8
8
8
8
8
28
28
0
8
8
1
48
18
1
0
0
8
0
8
8
8
8
8
4
4
2
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
8
8
8
0
0
0
8
8
0
9
0
8
0
8
8
8
16
16
0
0
8
0
0
0
0
0
0
0
0
0
0
0
8
1
0
2
2
0
0
8
1
8
0
0
0
0
8
8
4
4
0
0
0
0
0
0
4
4
0
0
0
4
1
24
24
16
16
19
4
16
3
8
1
8
0
16
8
0
8
1
8
8
16
0
0
0
0
16
16
0
0
0
8
0
16
16
20
0
0
0
0
18
40
40
1
0
0
1
8
20
8
0
0
2
0
40
8
8
8
0
23
23
16
0
4
4
4
4
8
0
8
8
0
8
16
16
16
4
4
32
0
4
0
0
0
0
32
32
16
4
8
8
0
2
0
0
1
16
0
0
32
12
0
0
1
1
0
0
0
8
48
0
0
0
0
0
16
0
16
8
8
8
8
8
8
8
0
0
0
17
0
0
0
4
4
8
2
2
0
1
1
0
34
8
8
8
10
8
8
8
16
16
14
0
16
4
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
8
8
28
0
8
4
0
14
2
2
28
28
28
8
8
0
2
2
4
4
4
4
8
8
0
4
0
16
8
8
8
8
16
16
8
8
8
8
8
8
12
20
8
8
0
16
16
16
20
4
8
32
0
4
4
1
1
0
0
0
0
0
20
1
16
20
0
0
0
48
8
8
8
8
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
8
8
0
0
16
16
16
0
8
8
8
8
0
0
8
8
8
40
40
38
0
0
0
0
0
8
0
0
8
1
8
0
8
8
0
0
0
0
16
1
12
4
8
0
8
8
0
8
8
2
2
4
0
8
8
8
8
8
8
8
8
0
8
8
8
2
22
4
0
0
4
0
0
2
2
2
8
1
8
8
8
8
0
24
0
0
0
0
0
0
8
8
10
24
8
0
0
0
0
0
0
0
0
8
1
1
0
0
0
8
8
8
8
2
16
16
4
0
0
1
8
8
8
8
8
0
0
0
0
0
0
8
0
0
24
0
0
16
16
16
0
0
8
10
26
0
0
8
24
8
8
16
8
16
0
0
0
0
8
8
8
0
0
0
16
16
16
8
8
8
0
1
1
0
4
16
16
16
0
0
0
4
16
0
0
2
8
16
16
16
16
4
16
0
4
2
2
2
0
28
28
28
16
1
1
0
0
8
8
8
8
0
0
0
0
0
2
20
20
4
8
8
0
28
16
26
2
2
2
30
8
0
16
8
8
8
8
8
8
0
8
8
0
8
0
8
4
0
2
20
8
8
8
16
8
0
0
0
0
4
4
4
4
4
16
8
0
0
0
0
8
8
0
8
8
8
16
16
8
8
0
0
0
0
0
0
8
8
0
0
20
16
16
8
8
0
8
8
0
2
0
0
4
1
8
2
16
4
4
0
0
0
0
0
0
0
0
8
8
0
8
40
0
8
8
8
8
8
0
0
0
24
16
16
16
0
24
20
0
0
0
17
8
3
0
0
0
0
0
4
0
1
0
24
0
0
0
8
9
9
18
2
2
4
4
0
8
0
0
16
16
16
16
8
4
4
8
8
48
32
0
0
0
8
4
0
0
0
4
4
4
0
0
8
8
0
0
4
0
0
0
16
16
16
0
0
0
0
2
0
0
8
8
0
0
0
0
0
0
16
16
0
8
6
48
0
0
8
16
24
8
8
20
8
0
16
18
4
19
12
0
0
8
8
16
0
0
24
28
0
18
3
1
6
6
6
0
0
0
8
8
2
2
0
0
0
16
0
0
8
0
0
0
8
8
0
12
8
8
16
0
0
32
0
1
8
16
12
8
0
16
0
2
2
2
8
24
0
2
2
10
0
4
8
8
8
24
24
0
0
8
0
16
4
8
8
8
25
0
16
24
17
8
0
0
0
0
9
9
8
8
8
0
0
0
0
0
0
8
8
8
8
8
4
4
4
4
4
0
0
0
8
16
2
0
0
8
8
8
8
8
8
8
8
1
1
8
8
8
0
0
8
4
20
0
16
0
0
0
0
0
18
16
0
20
20
12
12
12
12
12
12
19
17
17
2
8
1
1
16
16
16
16
0
0
8
8
8
8
8
8
8
8
8
8
8
1
16
0
0
0
0
2
2
8
8
8
8
16
16
8
8
25
25
0
0
0
0
16
16
0
2
2
0
0
8
1
1
9
0
0
4
4
4
4
0
8
8
0
0
0
0
16
16
8
4
4
0
0
0
0
2
8
16
25
0
0
0
0
2
2
0
36
8
8
17
16
0
2
2
0
0
16
16
0
8
2
6
2
4
4
4
9
16
16
24
0
0
0
8
0
14
14
0
0
0
4
4
4
4
0
0
0
0
17
17
4
0
1
16
0
4
4
0
6
0
16
8
1
0
1
1
0
0
0
0
0
0
0
0
21
0
0
0
0
8
16
0
16
8
8
0
0
24
24
0
0
0
0
0
0
8
0
0
0
2
1
0
0
0
0
0
0
0
0
0
0
0
0
8
4
0
8
0
4
0
0
0
16
16
0
8
2
2
6
8
8
0
8
16
8
8
8
8
8
24
24
4
4
0
18
3
0
0
0
16
0
16
16
16
21
20
0
8
2
2
0
0
0
53
53
53
0
8
0
18
0
0
0
8
8
0
8
8
8
8
8
8
1
1
24
24
24
0
8
0
0
16
16
32
32
0
0
0
8
8
8
8
8
8
8
16
0
0
0
0
0
0
8
8
8
2
0
0
16
25
4
0
0
0
32
8
0
16
0
0
0
4
6
0
0
0
16
8
0
0
4
0
0
24
24
24
24
8
8
8
0
0
24
0
0
0
0
0
0
16
0
0
0
0
0
2
4
0
0
0
2
8
8
8
8
8
24
0
8
8
20
20
0
8
8
0
24
16
0
16
32
0
0
8
4
0
32
32
32
4
57
8
4
16
4
2
0
0
0
0
2
0
4
0
16
20
20
20
8
4
4
4
0
16
8
16
16
0
0
0
0
0
17
17
0
4
16
4
0
0
0
0
0
0
8
0
0
0
0
2
0
0
16
16
8
8
8
0
0
16
8
8
16
16
16
8
4
0
0
0
8
8
0
1
1
2
0
0
0
8
8
8
8
4
0
16
16
8
0
16
1
0
0
0
8
5
24
16
0
8
8
8
8
8
8
8
1
8
0
0
0
0
2
8
1
0
0
0
0
0
0
0
8
8
8
0
0
10
32
18
2
1
1
8
8
8
8
41
8
8
4
0
8
0
0
0
24
24
0
0
8
0
0
0
0
0
8
0
8
0
12
12
2
0
0
0
0
0
0
0
18
0
0
0
16
16
0
8
8
8
2
18
16
16
16
8
8
0
4
4
8
8
8
16
1
0
4
4
4
8
8
0
8
8
8
8
8
8
0
8
8
4
8
0
16
4
8
8
0
0
8
0
0
0
0
0
4
4
16
16
8
0
0
4
16
0
0
0
16
16
0
8
0
40
40
40
40
0
0
0
0
32
8
8
8
8
0
0
1
1
4
0
0
0
8
8
0
8
8
0
20
20
0
0
0
0
0
16
0
8
2
6
4
0
4
4
0
0
0
0
0
8
8
8
8
0
0
0
16
16
16
16
8
16
0
24
8
8
8
4
0
16
0
0
0
0
2
2
0
8
8
8
8
0
8
13
0
0
8
8
8
8
8
0
8
8
16
4
24
0
4
4
4
8
8
8
8
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
4
0
8
16
16
16
16
0
16
8
16
8
4
4
0
16
0
0
0
0
12
4
0
0
0
0
0
0
0
8
0
0
0
0
4
4
4
4
0
8
8
8
16
0
8
8
0
0
0
20
16
8
0
0
0
0
0
0
0
0
9
9
0
16
16
16
6
8
0
0
0
0
0
0
56
8
0
0
2
2
2
8
1
1
1
1
0
0
8
0
0
0
0
0
0
8
6
6
8
0
8
0
0
8
0
0
0
4
2
2
8
8
8
8
8
16
16
16
0
0
0
8
24
0
0
8
8
52
24
56
56
56
0
2
0
8
8
8
0
0
0
0
8
8
0
8
8
0
0
16
0
0
20
0
16
4
0
0
8
8
8
8
2
2
2
0
8
8
8
8
8
8
8
0
0
16
0
10
0
2
2
16
8
8
0
0
0
0
0
0
8
1
0
0
0
8
0
8
0
0
27
4
4
4
2
18
0
8
4
0
0
0
16
0
0
4
1
1
1
1
0
0
2
8
0
0
0
8
0
0
0
16
16
18
16
16
0
8
0
8
1
16
0
8
26
24
24
8
12
20
20
0
0
0
8
8
1
1
1
1
24
16
4
0
16
16
16
16
0
0
8
9
9
1
16
20
16
16
16
0
0
10
10
16
16
3
0
0
4
24
16
0
0
8
8
8
8
23
8
0
20
16
0
4
8
8
8
36
32
2
2
8
8
8
8
0
18
0
0
1
1
0
0
30
30
0
0
13
16
0
0
0
0
4
0
0
0
8
17
1
8
8
8
8
2
17
0
16
4
4
4
16
0
8
0
4
0
0
8
0
0
0
0
0
6
6
8
8
8
0
24
0
0
8
0
8
8
8
0
0
0
9
0
16
16
0
0
2
2
0
0
16
16
0
9
0
0
0
8
8
8
8
16
16
16
0
32
32
2
2
16
8
8
4
8
8
1
0
0
8
8
0
0
8
12
28
8
8
8
8
0
0
8
8
8
8
8
0
0
0
8
8
8
8
0
0
0
1
0
8
16
0
16
8
0
0
0
16
1
0
0
16
0
0
8
2
2
2
20
20
0
0
0
0
0
0
16
0
8
8
8
8
8
8
24
8
0
0
9
12
8
8
0
0
1
16
8
8
8
8
8
24
16
8
0
0
8
8
8
0
0
0
0
8
0
1
8
4
0
0
0
8
4
0
8
8
8
8
8
0
0
0
8
8
8
24
16
24
24
24
16
10
26
26
1
1
1
1
8
12
32
0
16
16
16
9
9
8
8
8
0
16
32
32
8
0
0
16
0
16
0
0
0
16
16
16
16
16
16
16
16
16
0
1
16
8
8
8
0
0
0
8
0
2
2
0
24
24
8
48
8
0
8
24
8
8
0
0
0
0
0
24
17
16
0
6
6
24
24
8
8
8
0
32
8
12
0
16
16
8
14
8
8
0
0
16
16
0
18
18
16
0
24
0
0
8
18
0
8
0
0
0
0
0
0
0
16
8
8
8
8
8
8
8
8
8
0
0
0
8
1
1
1
1
1
0
0
0
0
5
0
0
4
4
0
0
0
0
0
16
16
16
16
0
0
0
0
0
0
0
16
16
2
16
16
16
16
16
16
8
8
4
0
0
0
2
0
0
0
0
0
0
24
24
0
0
0
8
8
4
2
0
0
8
8
0
45
1
1
16
0
0
0
0
0
0
0
0
0
0
12
12
12
8
8
0
0
16
16
16
16
8
8
0
4
24
8
8
0
0
0
8
16
0
16
16
16
16
1
1
1
0
0
0
0
0
0
8
5
16
8
8
8
8
8
8
0
0
1
5
0
0
0
0
12
16
48
32
32
8
8
16
8
8
0
36
36
36
36
16
8
8
0
1
8
0
8
8
17
17
32
24
17
0
0
0
0
0
0
1
0
0
0
0
0
16
16
2
8
12
32
16
16
8
0
6
6
6
32
4
14
14
8
0
0
8
0
0
8
8
8
4
16
8
8
8
0
0
1
1
0
0
0
0
0
0
0
8
12
4
4
32
32
32
32
32
32
8
4
0
0
8
8
8
16
2
2
2
0
24
8
0
1
16
0
0
8
8
8
8
0
8
8
8
0
0
8
8
8
8
8
32
8
0
2
0
0
0
8
0
0
24
16
0
8
8
8
8
8
0
1
8
8
8
8
8
19
11
0
8
0
8
8
8
2
2
0
0
32
32
32
32
32
0
16
4
0
0
32
2
8
8
8
4
4
4
4
4
0
17
1
1
8
16
16
16
16
4
16
9
0
0
0
0
0
0
8
8
8
8
16
16
2
0
0
0
0
0
1
0
0
32
0
8
8
4
0
16
0
0
4
8
0
0
0
0
0
0
0
8
8
8
8
12
12
0
8
1
0
0
0
8
16
1
8
16
16
8
0
8
8
8
0
0
8
8
8
2
4
24
8
0
8
8
1
1
16
24
40
40
40
8
8
17
4
12
0
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
0
8
8
8
0
0
0
4
0
0
24
16
4
8
16
16
16
24
0
0
1
0
0
0
0
8
8
8
8
8
1
1
0
0
0
2
0
0
0
0
24
0
0
0
0
8
8
8
28
8
16
0
0
0
8
24
0
16
16
16
18
18
16
0
0
0
48
8
8
8
0
0
0
16
16
16
16
16
16
16
2
16
16
8
8
8
8
16
8
8
0
16
0
16
0
0
1
1
0
0
8
8
0
0
56
40
40
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
8
0
0
16
0
12
8
16
8
16
8
8
16
0
0
0
8
32
0
1
0
0
0
0
4
0
36
32
2
2
0
8
8
8
0
0
1
1
0
16
16
8
8
16
16
16
16
32
8
24
16
8
3
3
3
2
16
16
16
16
16
4
4
24
8
16
16
0
0
0
49
0
0
0
8
0
16
16
0
8
0
8
20
4
4
0
8
8
8
4
4
4
16
16
9
20
16
16
16
16
0
0
0
0
0
8
8
8
0
8
16
8
0
0
8
8
0
8
24
16
0
0
0
0
8
8
8
0
0
0
16
40
8
2
0
8
8
0
8
8
0
0
0
8
8
16
8
8
0
0
0
0
0
0
16
4
4
8
0
0
0
0
8
8
8
8
8
4
4
16
16
8
0
40
40
0
0
4
8
0
0
1
1
0
8
0
0
33
4
4
24
0
0
2
8
8
0
8
8
24
24
1
0
0
0
0
8
8
0
8
16
0
0
2
2
0
0
8
1
1
0
0
0
8
16
0
0
12
16
8
1
1
1
8
0
8
0
0
1
0
4
0
0
2
2
16
2
0
0
0
4
4
0
2
2
0
0
16
16
8
5
4
4
16
24
24
1
1
32
0
0
8
8
16
16
16
0
0
36
2
32
0
0
2
2
2
0
16
8
8
16
8
0
0
0
8
12
0
0
8
0
8
4
0
8
8
8
0
12
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
1
1
1
50
0
0
0
0
4
8
16
0
1
0
8
8
8
8
0
0
0
18
0
0
0
40
1
0
16
16
16
16
16
0
0
0
0
8
0
1
8
16
16
8
8
8
8
8
8
0
1
18
18
16
18
8
8
0
0
4
4
4
0
0
8
24
8
12
8
8
2
2
25
24
24
0
16
8
8
0
0
0
8
0
0
0
0
16
20
4
8
0
0
28
16
0
8
8
0
8
16
16
16
16
16
16
8
8
4
4
4
24
4
0
0
0
4
0
25
17
12
0
0
4
5
4
4
0
0
0
1
24
8
8
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
24
8
0
1
1
0
20
2
0
8
8
0
16
16
0
0
8
0
0
34
34
0
2
0
1
0
0
2
2
2
4
12
2
2
2
2
0
16
4
0
0
1
0
0
0
0
0
4
0
8
3
3
4
0
0
1
1
0
0
0
0
40
33
0
8
0
0
32
35
24
0
0
0
8
0
0
0
8
8
8
0
0
0
8
4
8
8
8
0
16
16
8
8
8
0
0
0
0
8
0
8
8
0
4
8
4
4
4
6
0
12
12
8
0
0
17
0
8
16
8
8
0
8
8
8
8
0
0
21
16
16
2
8
24
16
0
0
4
4
16
0
0
8
8
0
8
8
0
1
4
0
8
8
8
0
0
0
0
0
0
0
0
8
2
1
1
1
8
8
0
8
12
12
0
0
0
20
20
16
16
16
25
25
25
0
0
0
0
8
16
8
18
16
32
32
0
0
16
8
0
0
4
8
16
16
16
0
3
0
0
0
0
8
4
2
2
2
8
8
8
8
8
8
0
4
4
4
32
32
16
0
16
2
2
0
0
0
0
0
8
8
8
0
0
8
4
32
8
1
1
0
0
57
1
1
1
1
0
8
8
8
8
20
0
0
16
8
1
1
8
8
2
2
8
8
8
16
4
16
17
0
0
0
0
1
0
16
8
8
8
0
0
0
8
0
4
4
16
1
0
0
0
8
8
8
8
8
8
8
8
0
8
8
8
16
0
0
0
0
24
20
16
0
0
8
0
0
0
8
0
0
4
4
2
2
0
16
8
4
0
16
8
8
8
8
0
24
0
1
8
5
0
8
0
0
0
3
0
0
0
0
0
0
0
0
0
22
22
0
8
8
8
0
32
32
0
5
16
16
16
16
16
0
0
0
8
0
4
4
4
16
16
1
5
5
8
0
8
8
8
0
0
0
0
4
0
0
24
16
16
0
9
0
40
40
1
1
1
2
21
21
0
0
0
0
8
0
0
8
8
0
8
0
0
0
4
4
4
16
16
16
16
16
0
0
8
8
8
8
1
0
0
0
1
1
0
0
0
0
4
4
0
4
0
16
16
8
8
8
0
0
2
0
0
0
8
32
16
48
48
32
0
0
0
0
8
16
16
4
4
4
0
0
0
0
4
0
0
16
0
0
0
2
2
0
4
0
8
0
8
16
16
1
1
16
4
1
0
0
8
8
24
32
4
4
4
4
24
24
24
24
8
0
0
16
16
8
16
16
12
12
16
0
0
8
2
2
2
2
2
8
0
0
0
8
8
8
8
8
0
0
16
16
16
8
8
8
8
32
8
0
0
0
16
16
16
16
8
17
17
0
4
0
0
8
8
8
8
0
12
0
8
16
8
8
8
24
0
32
32
0
8
1
1
1
1
8
0
4
0
16
16
16
16
16
16
44
8
8
0
40
0
0
0
16
16
16
0
0
8
16
16
0
0
0
0
0
0
8
8
0
0
2
2
2
1
0
0
2
2
2
8
8
8
0
0
8
16
16
16
16
20
8
8
18
8
20
8
8
0
0
4
8
1
4
16
0
16
16
8
8
0
8
0
0
0
0
59
59
59
59
57
0
20
40
40
4
3
1
1
1
1
1
0
0
8
8
20
20
1
2
2
2
2
12
0
0
16
0
16
8
8
8
8
8
16
8
8
8
16
16
16
0
0
8
16
16
0
8
8
8
8
8
16
28
28
4
0
9
0
0
0
2
2
2
4
4
32
32
32
16
16
5
13
4
0
8
8
8
8
16
16
20
25
25
16
0
0
0
0
0
8
0
8
20
24
0
9
8
0
0
8
0
1
16
16
24
24
24
24
0
0
8
16
8
16
8
8
8
8
0
8
8
8
16
8
8
8
16
8
8
4
4
8
0
0
24
0
39
8
0
2
1
4
3
0
28
0
0
18
18
18
8
0
8
8
8
0
16
0
16
16
16
16
0
21
0
32
8
8
8
8
0
0
0
0
0
2
2
8
8
8
8
8
8
8
0
0
0
0
16
20
56
56
24
24
8
0
8
8
8
8
0
0
0
8
24
8
8
8
8
8
8
8
1
2
0
4
4
0
8
1
0
4
0
0
26
26
0
0
8
0
8
2
2
0
0
0
0
8
8
8
4
4
8
0
8
8
8
8
0
8
0
0
5
4
4
8
8
16
4
4
4
17
17
0
8
12
16
8
8
16
0
0
16
16
16
16
16
0
0
1
1
0
0
8
0
0
0
4
5
5
5
0
0
0
8
8
16
0
0
0
0
16
16
8
0
9
0
1
1
33
17
2
0
0
16
0
0
8
22
8
24
8
16
0
8
0
0
0
8
8
8
0
0
16
0
0
0
17
0
20
4
0
9
9
4
4
4
8
8
0
8
8
8
24
0
24
0
4
4
16
8
8
8
0
0
0
1
1
1
0
0
0
8
0
0
8
8
8
16
16
16
0
8
0
0
8
16
16
16
24
0
1
1
1
1
1
1
1
16
8
8
0
8
8
0
0
40
8
8
8
8
17
0
8
8
8
8
8
0
0
0
1
1
1
1
1
8
0
8
16
40
0
8
0
0
4
4
4
0
0
0
0
0
0
0
16
0
0
16
4
4
8
0
0
0
16
0
0
0
9
8
41
8
12
0
0
0
32
8
8
8
8
8
0
8
8
8
0
0
8
0
0
0
0
0
0
0
8
12
0
0
16
0
8
8
8
24
8
8
4
0
8
16
0
8
8
8
8
8
0
19
1
1
18
0
0
0
0
8
8
32
0
16
24
8
8
0
0
4
4
2
4
4
0
32
0
8
8
0
0
0
4
0
4
4
8
24
0
0
10
8
8
0
0
8
8
8
8
8
8
8
8
4
12
8
0
0
8
8
8
8
0
0
8
8
8
16
16
4
1
1
1
1
4
8
8
8
8
8
8
0
0
0
8
0
0
0
26
26
26
8
3
3
2
2
16
16
10
10
8
8
8
0
0
0
4
4
24
1
1
0
0
16
16
16
0
0
0
1
8
4
0
0
2
0
16
16
16
16
17
16
0
0
0
0
16
8
8
8
32
32
0
0
0
16
8
0
1
1
1
1
1
1
8
0
16
16
16
4
1
1
1
0
4
4
4
4
0
1
1
1
0
0
0
0
0
8
0
0
0
0
0
0
48
12
16
16
17
0
48
48
8
8
8
8
4
4
4
4
0
0
16
0
8
8
9
8
8
8
8
8
8
8
0
4
4
0
0
0
0
8
8
8
8
0
0
2
0
8
8
0
8
4
4
4
8
8
50
50
8
8
8
8
8
8
0
0
4
4
4
8
48
48
1
0
0
4
4
4
4
5
5
16
16
0
8
8
12
12
0
4
4
4
2
2
2
16
0
0
0
0
8
8
0
8
8
0
0
4
4
4
8
0
0
8
8
8
8
8
32
16
20
20
20
4
4
4
4
0
0
8
8
8
8
22
16
0
0
4
4
4
8
0
8
8
8
8
16
16
16
16
0
0
8
8
8
8
8
0
2
2
2
16
0
0
8
8
8
0
1
1
1
16
16
16
8
8
8
16
16
0
0
8
2
0
0
0
0
0
8
8
2
2
0
0
0
16
0
4
8
8
8
8
8
8
8
8
0
0
0
0
32
32
0
8
24
16
16
0
17
1
16
8
8
8
8
1
1
5
5
5
16
24
24
8
8
0
0
0
0
4
4
4
0
0
0
24
24
16
18
16
8
0
0
0
16
0
0
4
0
0
8
0
32
32
1
1
1
1
0
8
4
4
8
0
0
8
8
8
8
20
20
0
0
1
0
8
0
8
8
0
0
0
16
16
0
0
0
8
8
0
8
8
8
2
16
16
16
16
0
16
16
8
0
0
0
8
32
32
8
0
16
16
16
16
8
8
0
26
16
8
4
4
4
4
8
8
8
8
8
10
10
8
1
2
28
16
0
0
0
4
4
0
8
0
8
8
8
8
8
1
1
1
1
16
0
16
0
24
0
0
0
16
2
8
8
8
8
8
8
0
0
0
0
0
0
0
4
4
0
0
0
0
8
8
8
0
16
0
16
16
0
8
20
0
0
0
0
0
4
4
4
8
8
8
8
0
0
16
16
16
16
16
0
0
0
0
0
10
0
32
0
0
0
0
0
20
0
0
0
0
27
27
27
27
22
8
48
0
0
0
0
0
8
8
16
0
0
0
0
0
8
8
0
8
0
0
16
16
20
16
16
4
4
4
2
2
1
8
0
4
4
4
4
16
16
16
0
8
0
0
0
8
16
16
16
1
1
0
0
0
0
0
0
0
24
2
0
0
0
18
2
2
16
16
4
4
0
0
16
16
0
8
10
16
4
0
8
0
0
0
8
8
8
8
16
17
10
0
4
1
1
8
8
0
16
0
8
0
4
0
0
16
20
12
12
0
8
16
8
0
8
16
16
16
4
4
0
0
4
8
4
8
8
8
8
16
16
16
8
8
0
0
0
16
16
0
1
1
1
0
0
2
0
0
0
29
8
0
0
8
0
0
8
8
8
0
2
0
0
8
8
8
32
0
0
16
16
0
0
0
0
8
8
8
0
0
0
0
8
8
16
16
16
16
8
8
8
8
16
0
0
16
8
8
4
0
0
8
8
0
0
0
30
9
9
0
48
0
1
3
0
16
16
16
0
0
0
0
16
16
0
0
16
16
8
0
8
8
8
4
4
8
8
0
0
0
0
1
8
8
8
0
8
0
8
4
4
8
8
16
16
16
16
32
40
16
8
1
1
1
8
8
0
0
0
18
18
18
0
20
4
16
16
1
8
1
1
1
1
8
8
8
0
24
20
16
0
0
4
4
4
8
8
8
0
0
0
0
12
12
4
4
0
4
48
1
16
4
0
16
0
3
8
4
24
4
32
28
8
8
8
16
16
16
6
6
0
0
8
8
8
8
8
10
2
2
16
16
0
0
0
0
0
4
4
0
0
0
0
16
16
9
9
16
0
0
0
0
0
1
1
8
4
8
8
8
0
2
0
4
0
8
16
16
16
16
0
0
0
0
0
8
16
8
16
4
4
16
16
16
16
0
0
0
8
8
9
9
4
8
0
0
8
12
12
2
2
2
2
16
16
16
2
4
4
0
0
0
0
16
16
4
4
20
20
8
16
16
8
8
8
8
8
8
16
8
8
8
8
16
0
0
0
0
8
8
0
28
4
28
16
0
0
32
0
1
1
0
0
2
16
0
16
0
16
24
24
24
0
0
16
0
0
0
0
24
24
24
0
0
12
4
4
2
2
20
16
8
0
8
8
16
16
16
8
24
0
0
0
0
0
0
0
4
0
8
0
32
32
8
8
8
0
22
33
16
0
16
8
8
0
0
8
0
0
18
18
8
1
8
0
0
0
0
0
0
48
48
0
0
0
0
0
12
8
8
16
1
4
0
0
16
16
16
16
16
16
16
16
16
0
0
3
2
2
0
0
0
0
0
8
8
0
0
0
8
8
8
1
1
1
0
26
16
0
1
16
16
0
0
0
8
0
2
2
2
8
8
9
0
8
0
0
0
1
0
0
24
16
0
0
0
0
4
0
0
5
8
16
16
16
0
24
24
1
1
5
5
5
4
4
0
1
1
8
16
16
17
17
0
0
1
1
1
0
1
24
24
16
0
0
8
12
0
0
0
0
0
1
1
16
0
0
8
0
8
0
1
0
8
8
8
1
0
16
16
0
0
0
0
0
4
52
27
27
27
27
0
8
8
23
2
9
16
0
16
16
16
16
16
8
8
0
0
0
0
0
0
0
8
8
8
0
0
0
8
8
8
8
8
0
16
16
16
25
16
16
1
1
34
34
8
8
0
12
18
0
0
0
4
4
4
0
0
0
8
8
8
16
8
0
0
8
2
8
17
0
0
0
0
8
8
8
0
0
0
0
16
8
8
1
1
16
24
24
8
8
8
0
0
8
4
4
4
8
16
0
0
0
17
1
8
24
0
0
18
8
8
8
8
8
4
8
8
8
0
0
0
16
16
16
4
1
0
0
4
4
0
0
8
8
8
8
16
8
8
8
8
8
8
8
8
0
1
4
32
0
8
20
32
32
32
16
8
8
0
0
0
16
16
16
16
0
3
3
1
4
8
4
8
4
8
35
1
16
0
1
8
8
19
19
4
4
1
1
1
1
1
8
17
1
1
8
8
4
4
4
4
16
26
1
1
8
0
8
0
16
4
1
0
0
0
0
0
16
16
1
1
8
8
8
8
0
0
2
2
0
8
0
16
16
4
4
4
4
0
0
0
0
0
16
16
16
16
0
0
16
16
0
4
1
0
16
8
16
0
8
8
8
8
0
5
9
0
2
0
32
0
40
40
4
8
8
0
1
4
4
4
4
1
0
8
7
0
0
0
0
0
0
0
8
16
16
16
16
0
0
4
4
4
16
16
0
4
4
4
4
22
22
16
16
8
8
0
0
8
8
8
8
0
0
16
0
8
4
0
0
0
16
0
0
0
16
2
8
16
0
16
16
4
0
0
10
2
2
20
8
0
0
12
12
12
12
0
8
0
0
0
8
8
0
0
0
0
0
16
16
16
0
0
0
2
2
2
2
2
0
8
8
0
0
8
0
8
8
0
8
0
8
0
0
8
4
16
0
0
16
16
16
2
10
2
2
2
8
8
8
16
16
16
0
0
16
16
0
6
14
6
16
16
16
8
8
0
16
8
8
0
0
0
8
32
32
32
1
16
16
8
8
8
8
8
24
16
0
0
16
20
0
16
1
0
1
0
0
4
8
8
8
0
0
0
8
8
8
0
0
16
16
16
16
16
16
0
0
0
8
8
0
0
0
0
0
0
16
16
16
16
16
8
13
13
0
0
0
0
8
8
2
16
16
17
17
8
8
8
0
8
8
8
12
8
0
8
8
8
8
8
0
1
16
16
28
2
9
1
16
24
0
0
0
0
8
0
0
1
1
0
0
0
4
4
0
0
8
8
2
2
16
16
16
8
16
16
0
0
0
0
0
0
16
17
17
4
4
0
0
1
8
8
8
8
0
8
8
8
0
0
0
16
16
8
8
8
4
8
8
8
0
0
0
0
0
0
0
0
0
0
0
20
8
8
0
0
0
32
8
8
1
16
16
20
8
8
0
8
8
16
0
0
16
0
16
8
4
4
4
0
16
16
21
1
0
8
0
1
1
0
0
12
12
12
0
4
8
8
32
32
2
2
8
0
0
0
0
1
1
1
16
20
0
0
16
16
16
16
9
24
4
0
8
8
0
0
0
0
0
0
0
8
8
8
1
8
8
8
8
16
16
0
0
0
8
8
0
8
0
0
0
32
32
32
32
32
32
0
0
0
0
0
0
0
0
24
0
0
0
0
4
4
2
0
1
1
1
1
0
0
0
18
18
0
0
0
0
0
0
0
16
8
0
0
0
0
8
0
4
8
8
8
0
8
0
4
4
4
0
16
0
0
0
0
0
8
8
8
16
16
8
8
8
16
16
16
16
0
0
4
8
8
8
0
0
0
0
0
0
0
8
2
0
8
16
16
1
8
0
12
16
4
0
8
8
12
0
4
20
4
4
4
4
0
0
0
0
0
16
8
8
8
0
11
0
0
0
0
0
0
24
24
4
0
16
0
48
0
2
8
8
8
1
0
8
14
14
14
14
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
4
16
16
0
0
0
0
16
16
16
2
2
2
18
16
16
16
16
0
0
0
8
8
8
0
0
16
16
0
34
1
0
8
4
4
0
0
0
48
0
0
0
0
0
8
0
0
8
8
0
8
8
24
24
0
0
0
0
28
28
28
28
24
0
2
2
16
16
4
4
8
4
4
11
4
4
16
16
16
20
4
0
8
8
8
12
24
0
1
8
0
0
0
8
16
0
0
21
21
4
10
2
3
32
32
34
32
16
12
0
8
17
17
12
12
8
8
8
8
0
0
61
0
32
0
8
4
4
4
4
4
4
4
8
8
12
8
8
8
0
0
1
1
21
0
8
8
8
16
24
24
16
4
4
8
8
8
8
8
8
8
0
0
0
0
0
0
0
0
8
16
0
0
8
8
16
9
8
8
8
8
8
8
8
8
8
8
8
0
1
1
2
2
0
0
32
32
32
32
32
8
4
0
8
20
16
8
8
19
2
20
16
16
4
4
14
4
0
8
16
16
16
24
24
8
16
8
0
0
0
0
16
0
0
4
16
0
0
49
8
0
0
4
9
9
9
9
0
0
8
8
8
8
16
0
8
8
16
4
20
8
4
0
8
0
0
0
0
0
8
8
9
9
8
4
2
10
2
2
0
16
8
0
8
8
8
8
0
0
0
8
0
0
8
8
8
8
0
12
12
12
0
0
0
8
0
0
0
16
16
0
0
0
2
2
14
16
16
2
0
8
4
4
8
8
0
40
40
0
0
8
0
0
0
8
4
8
8
0
0
0
0
1
1
8
0
12
12
16
32
4
8
0
6
6
0
4
2
2
8
8
8
8
8
0
16
1
9
1
0
8
8
8
8
8
16
0
0
0
0
0
0
0
0
16
16
0
1
0
16
0
0
8
8
20
0
16
1
0
8
0
0
0
0
4
4
0
0
16
16
24
24
8
8
0
0
0
0
0
8
8
0
1
0
0
0
1
0
0
8
8
0
9
9
1
1
1
2
0
8
4
4
4
0
0
0
28
28
24
24
16
16
16
16
16
16
8
8
18
0
0
12
4
4
1
1
0
2
4
8
8
0
0
8
8
8
0
0
0
16
16
16
0
16
18
1
1
24
24
0
0
0
0
0
0
0
4
0
8
3
3
16
0
0
0
24
8
16
16
0
0
8
16
8
8
8
16
16
0
8
4
4
4
4
0
8
0
0
0
0
16
0
0
0
0
0
16
0
8
0
2
2
20
4
8
8
8
8
2
2
8
1
1
0
0
4
4
0
0
0
0
0
8
4
1
17
0
0
0
16
0
0
16
2
2
2
0
0
0
0
16
0
0
11
0
1
8
22
22
8
0
0
0
0
0
0
16
8
8
8
8
2
2
8
8
8
8
0
0
0
8
8
8
4
0
8
8
4
4
0
0
0
0
0
0
0
8
8
8
16
0
4
4
24
24
0
2
2
0
0
0
9
9
16
16
0
0
8
8
0
0
4
4
4
20
8
16
0
8
16
16
3
0
2
0
4
4
4
1
1
10
10
24
1
4
2
0
20
16
0
0
0
32
32
0
5
5
8
8
8
16
0
0
0
0
0
2
0
0
24
0
0
0
0
0
0
8
8
2
2
2
0
1
1
0
0
0
44
44
0
16
0
4
4
4
4
4
1
1
1
1
1
4
0
8
8
8
16
16
8
8
4
0
0
8
8
0
8
1
8
8
4
4
0
0
0
0
0
8
0
0
0
20
17
16
0
0
0
8
1
1
8
8
8
8
16
0
12
12
4
4
0
0
0
16
20
24
24
0
0
8
8
0
8
8
0
0
16
0
0
16
16
0
0
0
16
0
0
0
16
16
16
16
16
0
0
0
8
8
8
8
2
16
4
16
16
16
8
8
8
8
0
0
0
8
8
8
8
8
0
0
0
16
16
16
16
32
32
4
0
0
0
0
0
0
0
0
0
0
16
16
4
4
4
16
0
8
4
4
0
0
8
0
0
4
0
0
0
16
0
4
8
8
8
8
8
0
0
8
8
0
2
0
4
0
0
0
0
0
16
0
16
16
0
0
0
16
0
8
24
24
0
8
8
34
34
34
4
5
5
0
0
0
8
8
0
0
0
0
0
0
2
2
8
0
0
0
0
0
8
8
16
18
24
4
4
4
4
4
4
4
4
0
0
0
0
0
16
0
0
0
20
0
0
0
0
1
0
8
12
0
8
0
0
0
0
2
8
8
2
1
1
1
1
1
1
0
16
0
0
1
0
0
8
8
0
0
11
0
8
8
0
0
0
0
8
0
16
0
0
8
8
18
8
8
2
8
8
4
1
24
0
0
22
0
8
16
16
16
0
2
2
2
0
0
0
8
8
8
8
12
8
8
0
8
8
0
8
12
4
0
0
8
8
0
8
0
8
16
0
0
0
8
8
8
8
24
8
32
32
8
8
8
8
8
8
0
17
1
0
0
2
0
0
1
0
0
0
0
8
8
0
0
0
1
28
28
28
8
8
0
0
0
8
0
0
19
0
0
0
0
0
0
0
0
0
0
8
0
32
0
0
0
0
0
0
0
4
8
0
0
16
1
16
0
4
0
8
8
8
0
0
0
22
0
4
4
0
0
8
8
4
16
18
0
8
8
0
8
1
1
0
0
0
0
16
16
0
2
0
0
8
4
17
17
0
0
0
0
16
16
0
8
16
0
32
8
8
8
16
8
0
0
8
0
0
0
0
0
8
0
12
16
16
16
0
0
0
0
0
0
0
16
8
5
16
8
8
0
0
16
0
0
0
8
8
0
0
0
25
8
8
8
8
8
0
8
0
0
0
0
0
16
0
0
2
2
0
8
8
8
8
8
1
0
0
0
0
0
0
2
2
8
0
2
0
8
8
18
2
8
8
0
0
0
0
0
8
4
0
16
0
0
8
8
1
1
1
9
9
8
0
0
0
0
0
0
0
8
0
8
17
17
17
17
0
16
16
0
16
16
0
8
2
16
0
0
0
0
0
19
19
19
1
1
0
8
16
13
8
8
0
0
16
8
8
8
8
0
4
8
16
0
8
8
8
0
0
0
0
32
48
48
6
8
16
0
0
1
6
0
8
0
0
5
16
16
16
0
0
14
0
8
8
8
8
0
8
16
16
16
16
8
0
16
8
8
0
0
16
16
0
0
0
0
8
0
0
0
0
8
8
8
0
16
0
0
0
16
16
2
2
12
12
0
8
0
0
0
0
41
1
0
0
0
0
16
4
0
19
0
0
16
16
3
3
4
4
0
12
8
0
0
1
16
16
0
8
8
8
4
0
0
1
1
8
0
8
0
0
4
0
0
8
0
0
0
0
0
24
0
8
8
8
8
8
8
0
0
0
8
4
4
4
4
4
0
8
0
8
0
48
0
0
8
8
8
0
8
8
0
0
0
0
0
0
8
0
1
16
0
8
4
4
4
8
8
8
8
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
8
20
20
20
20
8
8
8
8
8
8
0
16
16
8
2
0
4
4
4
4
4
8
32
0
4
4
8
0
2
2
2
4
0
0
2
22
0
8
8
8
8
0
0
0
16
2
2
12
0
12
12
12
20
8
0
2
2
6
0
0
0
0
0
0
8
4
0
0
8
0
4
0
8
0
2
0
16
0
0
0
18
0
0
0
8
0
16
16
16
8
8
8
8
0
0
16
0
4
4
4
8
16
0
0
4
4
16
40
16
0
0
0
0
0
0
6
2
28
8
8
8
0
8
0
0
8
0
0
0
0
0
8
0
8
0
0
0
2
16
16
16
16
1
16
16
16
16
16
0
0
0
0
0
16
16
0
30
30
8
0
0
0
0
0
16
8
0
0
4
24
2
16
16
8
8
40
4
8
0
0
0
0
0
0
0
0
8
24
8
4
0
0
0
0
4
16
0
0
16
16
16
8
0
0
0
0
16
16
17
1
8
8
0
8
0
8
8
0
0
32
0
16
16
0
8
8
8
8
16
16
16
4
8
8
8
0
48
6
40
40
0
0
16
16
12
4
12
12
0
24
8
8
8
8
24
0
0
2
32
0
16
16
1
0
0
24
4
4
33
33
0
0
1
0
1
1
1
0
0
17
17
17
4
1
1
0
8
16
2
8
16
0
2
0
0
24
8
8
8
0
0
0
0
4
0
0
8
8
8
9
16
40
40
9
11
9
16
0
0
0
2
2
2
0
0
0
0
1
1
1
4
0
25
17
17
8
8
9
9
0
0
0
0
0
4
4
8
0
2
2
0
0
8
16
53
53
53
0
8
8
2
16
16
16
4
4
3
3
0
8
8
0
0
16
0
16
16
0
16
0
2
4
17
1
0
8
8
2
0
8
10
0
16
16
2
0
0
0
0
0
0
0
8
8
24
16
16
24
26
0
0
0
8
0
8
1
22
40
40
0
0
0
0
8
0
0
8
0
8
8
8
1
0
0
0
0
0
8
8
8
8
8
0
0
8
8
8
0
0
0
0
8
0
0
0
0
8
8
8
0
6
6
6
8
8
0
0
0
1
1
4
0
0
0
0
0
0
16
1
1
8
8
8
0
0
8
2
2
2
0
0
0
2
0
2
0
8
8
1
0
4
8
8
8
28
0
1
1
1
0
0
2
2
8
2
1
0
24
0
2
4
12
2
14
0
4
8
0
0
0
0
0
0
4
0
0
0
8
8
0
0
0
0
8
24
8
0
0
8
8
9
27
16
16
0
8
8
8
8
8
8
17
8
24
8
4
0
8
8
2
0
0
0
2
4
1
1
1
0
0
0
0
8
8
8
0
2
0
1
1
0
8
0
8
0
8
0
16
0
0
2
2
2
1
0
0
0
0
8
8
0
16
16
16
16
16
16
16
16
16
0
16
0
8
8
0
0
0
4
4
48
48
4
4
12
8
8
8
0
1
8
8
8
8
8
8
16
0
24
8
4
16
0
0
0
20
57
1
8
0
0
0
0
0
4
17
4
4
0
0
0
8
1
0
0
0
0
0
0
8
8
16
16
0
0
16
16
8
0
16
16
16
16
16
16
2
2
0
2
8
0
0
8
8
0
0
0
4
0
0
0
0
0
0
1
0
0
4
2
2
8
12
16
0
0
16
0
16
16
0
2
24
0
0
0
0
0
8
8
8
46
0
0
0
24
25
8
0
8
0
8
8
0
16
0
8
8
0
0
0
0
0
55
0
6
4
6
8
0
0
2
0
0
8
16
24
0
0
0
0
8
0
0
16
8
8
8
0
8
8
8
8
8
8
8
8
0
0
2
2
2
0
16
8
0
0
0
0
0
16
0
8
8
0
0
0
0
8
8
8
8
8
0
0
8
8
1
6
0
0
8
8
0
0
0
0
0
62
62
0
2
8
0
0
16
0
2
2
7
7
7
4
0
1
1
0
0
0
0
0
16
16
16
0
0
2
48
48
0
18
0
0
4
0
0
0
0
0
16
0
0
2
16
16
16
16
4
1
2
2
1
22
6
6
6
0
29
24
0
0
8
8
0
0
0
0
16
1
33
0
0
0
0
0
8
8
8
8
0
8
0
1
1
0
0
8
8
0
16
0
0
2
2
1
1
33
33
33
8
41
12
0
4
0
0
22
0
0
0
16
4
0
8
8
0
0
0
0
0
0
0
0
8
0
0
0
0
16
0
0
8
0
8
8
8
1
0
8
8
0
0
8
8
8
0
0
0
8
8
8
8
0
0
8
8
0
8
8
0
0
0
0
26
24
16
16
0
16
8
0
0
0
0
8
4
0
8
8
8
11
11
11
8
8
16
0
0
24
0
0
1
0
0
17
8
0
16
0
30
16
16
8
8
8
8
0
4
0
19
4
8
0
24
24
24
0
0
8
24
24
24
1
16
0
0
8
8
8
8
8
8
1
1
1
8
0
8
8
0
0
0
0
0
0
4
0
0
8
8
0
40
40
2
8
8
8
2
0
0
0
8
16
4
32
8
8
0
0
57
8
8
0
0
0
4
9
16
8
8
0
0
24
8
8
0
8
0
0
24
24
16
16
24
8
16
0
16
0
0
8
8
8
8
0
0
0
16
16
0
8
8
0
16
0
24
0
2
2
2
2
0
0
0
8
8
8
16
32
32
0
0
1
1
20
20
0
2
2
2
0
0
0
0
8
0
0
34
34
0
32
0
48
0
0
0
0
0
0
8
8
8
24
8
1
1
8
0
0
0
0
8
8
0
8
0
0
16
4
8
4
0
32
0
0
16
5
4
0
0
0
0
0
8
0
16
0
8
8
0
24
0
1
8
8
0
0
8
16
8
1
17
8
0
0
0
0
0
0
8
4
0
0
0
0
8
0
0
0
8
8
24
24
24
2
8
16
4
0
0
0
0
0
0
16
0
0
0
0
0
0
0
4
3
0
8
0
8
8
4
0
0
0
0
1
0
8
8
8
0
0
0
16
0
0
0
0
0
0
0
0
0
57
57
57
0
0
0
8
8
24
8
16
16
22
5
5
8
0
0
16
16
8
16
0
0
16
16
16
16
0
0
0
0
0
0
6
8
8
8
1
1
0
0
0
0
4
4
0
2
2
16
16
16
16
16
32
1
1
8
8
1
8
22
16
24
24
16
8
8
8
8
0
0
1
8
8
16
0
4
16
16
0
0
0
0
0
14
0
0
16
16
16
16
16
16
16
16
0
0
8
8
8
1
0
1
0
0
0
0
0
16
22
8
8
0
0
0
8
16
16
8
8
54
54
0
0
1
1
26
0
8
8
8
0
32
5
5
5
16
1
1
4
16
16
0
0
0
8
16
2
2
2
2
24
24
0
0
4
4
1
16
16
8
8
0
0
0
8
16
16
16
16
16
16
16
16
16
16
16
24
0
0
0
0
1
16
8
16
16
16
1
1
1
1
0
8
0
4
0
0
0
0
24
0
0
4
20
8
8
8
32
2
8
0
25
16
16
0
8
8
8
0
4
0
23
0
4
4
4
4
8
0
0
0
18
8
0
8
0
16
4
8
0
0
8
8
8
0
8
4
16
8
8
8
0
0
0
8
0
17
17
0
0
0
5
1
1
2
0
0
0
8
0
4
0
8
8
8
0
1
0
8
7
7
7
0
8
0
0
4
0
4
0
6
0
1
1
1
0
0
8
4
4
4
4
4
8
8
0
4
4
4
4
4
16
16
0
0
24
16
16
0
0
0
16
0
0
0
0
12
0
0
0
0
8
16
16
16
2
0
0
16
4
4
0
4
4
0
0
0
0
0
0
8
8
8
24
24
24
16
0
0
0
0
16
0
0
0
0
0
8
8
16
16
16
0
12
0
0
0
0
8
8
8
0
8
32
32
0
0
8
8
0
1
1
0
0
24
8
8
8
20
20
0
16
16
4
4
0
0
0
0
0
0
0
0
0
32
32
0
0
8
0
0
0
0
0
0
0
8
8
2
0
8
4
4
1
1
0
0
16
16
1
2
4
0
0
8
8
8
0
0
8
24
0
0
16
16
0
0
0
2
1
1
5
1
8
8
8
0
0
0
2
2
2
16
17
16
0
0
0
0
0
0
16
8
8
8
16
16
0
0
0
0
2
2
0
2
2
2
0
8
8
0
0
4
16
16
8
24
8
16
16
8
0
4
4
4
0
16
16
0
0
8
8
1
0
0
0
0
16
0
8
0
0
8
0
4
0
16
0
0
0
32
32
0
0
0
4
0
0
0
0
0
0
24
1
16
0
0
16
1
32
0
0
8
8
0
0
0
0
16
0
0
0
28
16
16
0
8
0
0
5
16
0
0
4
0
0
2
8
24
0
0
0
32
7
16
16
0
8
4
32
32
0
16
16
24
24
24
8
8
8
1
0
24
0
16
16
0
8
8
0
0
16
8
0
0
8
8
2
0
0
2
2
4
8
0
4
0
8
0
0
0
0
0
0
0
0
0
0
24
4
8
8
0
0
1
0
1
1
4
4
0
0
8
0
8
0
0
1
8
8
24
0
0
0
0
16
8
8
8
8
2
16
0
0
0
8
8
8
0
0
0
0
4
4
0
16
0
0
0
0
0
0
16
0
8
10
0
8
8
8
8
0
0
16
0
8
8
8
8
8
0
8
0
0
0
19
0
0
0
0
8
16
4
16
0
1
4
0
8
8
0
0
2
0
1
1
1
0
8
40
0
1
0
0
0
0
2
2
4
4
9
16
0
0
0
0
8
8
8
8
1
2
8
16
0
0
8
0
0
0
0
0
31
0
25
0
8
0
0
0
0
32
0
4
8
0
0
4
0
0
16
0
0
0
0
4
4
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
8
0
26
26
18
0
0
17
0
0
0
0
0
16
16
0
8
14
4
16
8
16
0
0
4
1
1
16
16
1
0
0
10
11
8
8
8
8
24
0
8
8
8
0
0
16
0
0
24
24
4
4
0
4
8
16
8
2
8
8
0
0
2
4
16
16
1
1
0
0
0
12
16
4
4
12
20
8
0
0
16
16
0
8
1
4
32
0
0
0
0
0
8
24
0
24
16
0
0
8
8
8
8
8
2
2
1
16
12
12
0
0
0
0
0
0
0
0
12
12
12
0
0
0
16
0
16
25
16
0
8
8
8
8
8
8
0
4
0
1
8
8
8
0
0
0
0
0
4
0
2
0
0
8
2
16
16
0
0
0
8
4
8
0
0
40
32
0
0
16
8
8
8
4
4
4
0
0
3
3
0
0
8
0
0
0
0
8
0
8
8
0
4
4
4
16
0
0
0
2
8
8
8
4
2
24
0
8
8
8
16
0
16
24
8
8
56
56
56
0
0
8
2
20
16
16
0
8
1
1
0
0
0
0
0
8
8
8
8
0
4
0
0
0
8
8
8
0
1
1
1
0
0
8
8
0
8
0
0
16
8
8
8
8
1
16
8
8
8
0
0
0
0
0
1
4
4
4
4
16
16
16
4
8
8
8
8
8
8
16
8
8
8
0
0
0
0
16
16
8
8
0
0
0
0
0
18
8
8
0
0
0
16
0
8
0
24
0
0
0
0
0
16
4
0
24
8
8
8
8
0
0
4
4
4
0
0
0
25
8
8
8
8
8
2
4
4
1
0
0
0
24
16
0
0
8
8
8
8
2
4
0
0
0
0
8
0
0
0
0
8
8
8
8
8
8
8
8
8
0
17
17
25
25
0
0
0
0
0
8
0
20
16
16
0
8
0
0
16
1
8
4
0
0
8
10
10
10
10
0
8
2
2
0
0
0
0
8
4
4
4
0
0
0
16
16
0
16
1
16
16
12
8
8
4
4
24
0
0
8
8
0
16
16
16
1
0
0
16
8
8
16
8
0
32
0
0
0
1
16
16
16
17
0
32
32
16
16
16
16
1
1
0
32
0
0
0
8
8
2
17
0
0
16
16
20
0
0
8
8
0
1
1
1
8
8
16
8
8
12
12
0
16
0
0
0
8
8
8
8
0
2
2
0
40
8
2
0
16
0
0
16
16
0
0
16
0
0
0
0
8
8
0
0
0
0
0
8
0
16
0
16
0
16
16
16
16
16
16
16
9
16
16
4
24
24
30
0
8
8
8
8
8
8
0
0
16
0
0
0
1
1
0
0
0
8
0
2
8
0
20
24
8
29
0
8
8
8
8
32
0
8
8
16
0
8
0
0
8
1
0
16
0
0
0
0
0
0
0
0
0
8
1
1
0
8
0
8
16
0
0
0
33
1
4
4
40
24
24
0
0
9
8
8
0
16
16
8
40
4
0
8
8
8
4
4
0
0
0
0
0
0
0
0
0
8
8
0
0
8
0
0
0
33
33
24
0
8
8
9
0
25
25
0
0
0
0
0
0
8
8
5
5
13
0
8
8
8
0
0
4
4
0
0
0
0
8
12
16
8
0
0
16
16
16
16
0
24
0
1
1
8
8
0
0
0
0
0
8
8
8
0
8
8
0
0
8
8
8
8
24
1
8
0
4
4
4
8
0
8
24
0
0
0
6
16
1
8
0
0
4
4
5
16
8
2
2
2
2
12
12
0
8
0
0
0
0
2
2
0
0
16
4
16
0
0
8
0
0
0
8
8
8
8
8
16
16
0
0
8
8
26
12
4
4
24
4
0
5
2
2
0
4
4
0
0
4
4
4
1
4
4
4
0
0
32
32
32
8
0
20
4
0
0
0
0
8
0
0
0
0
8
0
0
0
8
0
0
28
1
8
8
8
0
8
8
24
57
16
16
0
16
4
0
8
8
0
0
2
32
8
2
2
16
16
8
0
4
20
0
8
8
4
16
0
0
0
0
16
1
1
17
8
8
0
0
0
0
8
8
0
0
0
57
32
32
0
2
8
8
0
8
8
8
8
0
24
0
2
6
16
0
0
2
0
0
0
0
16
16
8
8
8
2
16
16
32
0
0
0
0
16
0
0
16
8
16
0
16
16
0
0
0
8
8
0
0
16
13
12
1
1
1
0
0
0
8
8
8
0
0
16
4
12
8
8
8
8
8
0
5
0
0
2
0
0
8
24
1
16
0
8
0
0
0
2
0
0
0
2
28
24
24
0
0
8
8
0
0
0
0
0
0
0
0
8
8
0
0
4
4
0
0
8
8
0
0
0
0
0
0
0
0
20
0
0
8
0
4
16
16
16
0
0
1
0
0
0
0
4
4
4
4
0
0
0
16
0
0
0
0
16
16
8
8
8
8
8
8
8
8
8
8
8
58
58
0
0
0
8
0
16
16
16
8
16
0
16
16
2
32
16
8
8
8
8
26
16
16
16
1
1
0
1
0
0
19
19
19
19
19
19
19
19
4
0
16
60
16
16
16
1
16
4
0
8
8
8
1
17
8
0
0
16
4
0
0
20
8
4
0
0
8
32
8
8
8
22
22
18
0
0
0
0
0
16
16
12
12
16
0
0
0
1
8
0
0
0
0
0
16
16
1
8
2
2
2
1
8
0
0
8
8
20
20
0
0
8
0
0
0
0
0
0
0
0
0
8
16
16
22
22
8
25
1
3
0
0
8
13
1
1
0
0
0
0
0
0
0
0
16
0
0
0
8
8
0
2
2
0
0
8
8
0
0
16
0
0
16
8
0
0
16
18
8
0
0
0
0
2
6
2
0
23
23
4
0
0
0
0
0
16
0
0
1
0
8
0
16
0
0
0
0
0
16
1
8
16
0
1
1
8
8
8
0
1
1
0
0
0
0
8
8
0
16
32
0
0
0
0
0
18
2
0
16
8
8
0
0
0
16
16
0
24
8
0
32
16
16
16
16
16
2
4
4
8
0
1
0
8
0
8
0
0
0
0
0
0
0
0
8
2
2
0
0
0
3
3
3
3
8
8
8
8
8
8
9
16
0
0
0
0
0
4
16
0
0
0
0
0
0
0
0
8
0
0
40
40
0
18
18
0
8
8
0
16
16
16
0
8
8
8
8
0
0
0
16
16
0
8
8
16
2
0
0
0
16
0
8
37
8
4
4
4
4
4
4
16
24
24
24
40
40
40
40
40
0
0
0
0
0
0
16
16
0
0
8
16
16
16
16
0
0
0
0
24
0
18
18
0
16
16
0
0
16
0
28
1
0
0
48
0
0
0
0
8
8
0
0
6
0
4
0
0
0
0
8
8
0
0
0
0
0
0
0
0
16
0
0
4
0
0
0
0
0
0
0
0
0
0
2
8
0
0
0
16
0
8
8
0
12
12
1
0
0
0
8
0
0
16
2
0
0
8
8
8
8
0
0
8
8
8
0
2
8
0
17
17
16
0
0
8
0
8
20
20
0
8
8
8
0
8
2
0
0
8
8
8
0
8
8
0
0
16
16
0
0
8
8
16
0
0
16
0
4
16
16
16
4
4
4
0
0
16
8
0
0
16
16
17
17
17
17
17
0
0
0
0
0
8
8
1
1
1
8
0
8
0
0
0
16
16
0
8
0
2
0
0
2
4
16
16
0
3
8
0
20
0
0
1
0
24
0
0
12
12
0
0
0
0
4
4
0
16
0
2
1
1
0
8
8
0
16
0
0
9
0
0
0
8
4
4
4
16
8
4
12
0
4
4
8
8
8
8
0
0
32
16
16
16
16
16
16
16
16
16
16
20
16
4
0
0
0
8
12
12
12
8
8
8
0
4
4
8
0
0
0
0
8
2
2
0
0
2
0
8
0
8
8
8
8
8
0
0
0
0
0
16
0
8
0
0
0
0
20
20
8
0
0
0
8
57
16
16
16
0
8
0
20
0
0
8
0
16
0
0
0
0
24
0
0
0
0
0
8
4
8
0
0
0
16
16
2
2
22
2
2
0
0
0
0
0
0
8
8
0
16
16
24
24
5
0
0
16
0
0
0
0
0
1
1
1
24
24
24
24
0
16
16
0
0
8
0
2
2
0
8
8
16
16
0
32
0
8
26
10
0
8
8
32
0
5
8
8
0
0
0
0
0
8
8
8
8
8
0
0
0
0
0
32
32
0
8
2
0
12
0
17
0
0
0
0
0
0
0
8
8
8
8
0
8
8
0
0
1
8
8
8
8
8
8
8
0
0
48
0
0
0
0
4
4
20
1
0
0
0
0
16
16
4
16
8
8
8
8
8
8
8
8
8
0
0
24
24
24
0
0
0
8
0
0
16
0
8
0
16
8
8
0
0
0
0
8
8
8
0
0
0
8
28
0
0
0
0
8
0
0
0
0
16
16
0
0
4
0
29
29
29
0
4
0
0
0
24
24
0
8
8
4
8
0
8
8
8
2
12
16
16
0
0
0
0
0
0
16
16
8
8
8
0
32
16
16
32
32
0
0
0
0
1
1
1
1
1
1
4
4
0
1
1
0
4
8
8
0
0
0
8
8
16
16
8
0
0
8
8
8
0
4
0
8
4
0
0
8
8
8
32
0
8
0
16
8
0
4
0
8
16
8
0
1
0
8
8
25
25
0
0
0
0
0
0
0
0
0
0
0
24
24
24
8
0
0
0
0
4
8
4
4
0
8
16
16
8
8
4
0
0
8
5
16
4
4
12
12
12
0
0
0
8
0
0
0
0
0
0
0
0
0
8
8
8
8
8
8
0
12
0
41
8
0
0
8
0
0
0
20
4
4
16
0
0
8
0
2
0
0
0
8
40
8
0
8
0
2
2
8
0
0
0
0
2
24
0
0
33
33
33
16
0
8
8
0
0
8
0
16
16
0
0
16
0
1
16
8
8
8
5
5
24
5
0
16
20
8
0
8
0
17
0
0
0
60
16
0
8
8
0
8
32
4
5
4
0
0
0
0
0
0
0
8
32
16
0
0
2
0
0
0
0
0
16
16
8
8
0
4
8
16
0
0
0
0
16
4
0
8
17
16
2
2
0
0
8
8
8
8
0
16
0
0
8
8
16
0
0
0
0
0
0
0
0
0
0
16
16
0
0
8
0
2
4
32
32
8
8
16
16
16
0
8
8
0
0
0
0
16
16
0
8
40
1
8
16
0
8
8
0
0
0
0
0
0
8
16
0
2
2
10
16
24
24
16
24
16
8
0
0
0
0
8
8
2
16
4
0
8
8
0
8
24
0
0
0
16
16
18
16
1
1
1
1
1
4
4
8
0
4
0
17
17
17
4
4
4
4
16
16
16
0
0
16
0
0
16
0
8
0
0
0
0
0
0
0
12
12
0
9
0
0
1
0
0
0
0
56
0
16
0
0
0
8
8
24
24
48
8
8
8
0
0
0
4
8
16
8
8
2
2
8
1
1
22
22
0
8
2
18
8
0
16
3
0
0
8
16
16
18
8
9
0
0
1
4
0
0
0
0
24
0
0
16
16
8
0
0
48
2
0
0
0
0
8
4
8
8
8
0
36
0
0
8
12
0
0
20
20
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
0
8
8
8
0
18
18
2
2
2
2
24
16
24
24
24
24
24
24
24
24
4
0
5
8
8
8
0
0
0
0
0
0
26
26
4
4
0
32
0
16
6
6
0
29
21
29
16
16
16
16
16
16
16
16
16
16
16
16
16
0
0
20
2
0
2
0
0
0
0
0
0
0
0
8
32
32
2
2
2
1
0
0
8
0
3
3
3
0
1
1
1
16
0
0
2
2
0
16
2
0
16
16
16
0
0
0
6
0
0
4
4
4
4
4
8
1
0
0
0
0
0
0
0
0
16
16
16
20
4
57
8
8
16
16
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
8
8
8
8
1
22
22
0
0
8
8
0
0
0
0
0
0
0
16
0
32
21
8
1
8
0
0
0
4
4
1
2
8
8
8
8
9
9
8
8
0
8
8
16
16
0
0
0
0
41
41
0
0
0
0
0
0
24
8
4
8
0
0
0
16
16
8
8
0
0
0
16
0
0
0
4
0
0
0
0
16
16
0
0
0
8
0
4
4
4
4
17
0
2
2
2
2
0
0
24
24
0
14
12
1
1
0
25
0
8
0
0
0
0
16
16
0
0
8
8
24
0
0
0
0
0
0
0
0
0
4
4
4
0
2
4
4
8
8
1
1
4
36
0
0
0
20
8
5
1
1
0
13
0
4
0
0
0
1
1
0
16
0
0
16
0
0
16
24
8
4
4
4
8
0
0
4
0
0
0
4
1
10
1
0
0
13
13
36
36
0
0
0
16
16
16
16
0
16
16
16
16
0
8
5
5
8
0
32
0
2
0
16
16
16
16
16
16
16
16
16
0
0
0
0
0
0
24
16
16
4
0
0
8
8
16
0
0
0
0
2
0
0
16
16
0
16
17
4
0
16
16
0
4
8
16
16
16
16
0
0
0
16
16
0
0
30
0
4
36
8
8
0
0
0
24
8
8
0
8
0
16
4
4
4
0
8
0
8
8
0
16
16
16
16
4
4
16
0
16
16
20
8
8
0
1
0
0
8
8
56
40
8
8
0
0
0
0
16
8
8
24
24
24
0
0
0
24
8
2
2
32
32
32
2
8
8
8
0
8
8
0
0
0
0
0
8
0
0
0
16
8
16
0
8
8
2
8
16
6
6
6
4
0
8
16
0
1
0
6
4
4
8
0
0
8
12
0
8
8
10
10
10
2
2
0
1
1
0
0
0
1
1
0
8
8
0
0
8
1
1
56
0
0
8
8
6
0
0
0
16
16
16
0
1
1
25
1
16
16
1
0
0
8
1
1
8
16
16
0
0
1
1
1
0
16
0
16
16
0
0
0
0
0
0
0
0
8
16
0
0
4
4
4
19
20
20
0
0
8
8
8
8
1
0
0
0
8
0
16
16
8
8
0
0
0
0
4
0
0
0
0
0
8
0
0
8
6
1
0
8
0
0
0
0
0
0
0
8
4
4
4
8
8
8
8
8
8
8
8
16
0
8
8
8
0
16
0
0
0
0
4
0
0
0
0
8
0
0
16
2
5
4
0
0
0
0
0
0
8
8
8
16
0
16
0
0
0
36
36
0
8
8
8
1
40
40
40
40
9
9
16
8
32
40
0
0
17
17
0
8
0
16
16
0
0
16
16
0
1
0
17
17
4
4
4
0
0
0
8
8
4
4
4
0
4
4
0
0
16
0
0
0
0
2
0
0
24
24
0
16
16
0
0
0
0
8
8
0
8
8
8
16
16
16
16
27
0
24
0
0
8
8
0
1
8
0
0
0
8
8
0
0
0
4
4
4
8
8
8
16
16
16
16
16
16
0
9
9
24
0
0
0
48
48
1
0
0
0
12
16
13
13
0
12
16
16
0
0
0
0
0
0
0
0
0
0
0
0
16
27
8
0
8
16
0
0
0
8
1
0
24
16
16
8
8
0
8
1
0
0
56
8
0
0
8
0
8
8
0
0
0
24
24
24
0
8
0
0
0
0
0
0
8
5
5
0
20
0
16
16
16
13
8
8
13
0
0
0
0
0
16
0
0
0
0
0
0
0
8
8
0
0
8
8
0
0
0
0
27
27
0
0
0
0
0
0
0
0
18
18
0
8
0
0
0
2
2
0
0
0
4
8
8
8
0
0
0
0
0
4
0
0
0
0
0
0
0
0
16
1
0
0
0
16
16
4
0
0
0
1
10
0
8
8
8
8
1
0
0
8
10
10
17
1
1
1
0
0
0
0
0
2
0
0
0
0
0
16
16
8
8
2
0
0
0
0
0
0
32
0
8
0
1
1
1
8
32
1
1
16
16
16
0
0
8
16
24
24
8
8
0
0
0
0
8
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
28
4
0
32
32
0
0
2
2
2
0
16
0
0
16
0
8
0
0
0
0
0
0
0
0
0
4
2
0
0
0
0
16
16
32
0
0
8
8
0
8
8
0
0
0
0
8
0
0
4
0
0
0
0
0
8
0
0
0
0
0
0
0
4
16
16
16
8
8
8
8
0
0
16
0
0
8
8
8
0
8
8
8
0
0
0
0
8
0
0
0
0
0
0
0
16
20
16
4
4
0
8
8
0
16
16
16
16
8
8
0
0
0
2
2
8
8
8
0
4
4
2
8
0
0
8
8
8
0
0
0
8
1
1
4
0
8
8
0
16
16
16
16
1
8
17
0
0
33
33
33
24
16
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
8
8
8
22
0
0
0
0
0
0
0
1
1
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
24
0
0
0
20
16
2
0
0
0
0
0
16
0
16
0
0
4
8
0
0
0
4
4
16
16
0
0
8
0
0
0
4
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
8
8
8
0
0
4
32
32
32
0
0
0
0
0
8
8
0
4
4
8
8
0
0
0
1
1
1
0
0
2
2
8
8
8
0
8
8
0
0
0
0
16
0
16
16
4
4
4
0
25
25
4
0
0
0
20
20
0
0
4
4
0
8
8
8
8
8
8
8
0
0
0
3
0
16
16
5
1
0
0
16
48
16
16
0
0
4
0
0
0
20
1
16
16
16
16
0
0
0
0
0
0
16
16
4
0
0
0
8
0
16
0
0
0
0
0
0
0
0
0
0
0
29
0
0
8
8
8
8
0
0
8
0
0
0
0
16
16
16
0
0
0
0
0
0
0
0
16
8
0
0
0
0
4
4
0
0
0
0
0
0
0
0
0
24
24
0
0
24
24
24
24
0
0
0
8
8
1
0
2
2
0
0
2
0
8
8
0
4
4
0
0
0
0
0
0
0
0
0
0
0
36
36
0
0
40
1
1
12
0
16
4
0
0
8
8
0
16
16
0
0
8
0
2
2
0
0
8
0
0
8
8
8
8
0
0
0
0
0
0
0
8
8
1
0
0
16
8
2
8
0
0
0
32
16
16
8
8
2
0
0
0
20
0
0
0
0
0
0
16
16
0
0
0
33
33
33
8
8
0
0
0
0
12
0
10
16
16
0
0
0
16
16
2
8
26
8
0
0
0
0
0
0
0
0
0
16
8
8
24
8
0
0
8
0
1
1
0
0
0
8
8
8
0
0
0
2
0
0
0
0
0
16
0
0
1
8
0
0
4
8
8
2
2
2
0
0
16
0
8
8
0
0
16
0
4
4
0
8
4
1
4
4
0
0
0
0
0
0
8
0
8
8
0
8
8
8
0
16
16
61
8
0
4
4
0
0
0
0
4
4
0
0
2
2
16
0
0
0
0
8
24
24
0
0
0
24
32
0
0
0
0
8
8
8
8
0
0
0
0
8
0
16
16
0
0
0
0
0
32
32
12
0
8
8
13
0
0
1
1
1
8
0
16
20
20
0
16
0
12
0
0
8
8
1
0
0
0
0
0
4
4
0
0
0
1
0
0
16
8
0
8
8
0
0
0
12
0
0
0
0
16
0
0
0
8
8
16
8
8
0
4
8
28
16
16
16
0
0
0
8
0
0
0
0
0
18
16
0
8
8
0
16
8
8
8
8
8
16
0
0
2
2
2
2
0
27
24
16
0
0
16
0
0
8
8
16
0
0
0
6
0
8
0
8
8
8
0
0
0
0
0
28
8
16
16
0
0
0
0
16
16
16
0
4
1
1
1
8
0
16
16
9
4
0
0
1
0
0
0
16
0
0
0
8
0
8
8
16
16
16
0
0
0
0
8
8
0
0
0
0
0
2
2
0
0
0
0
0
24
8
8
0
0
0
24
8
8
0
24
24
0
0
0
2
8
8
16
0
2
32
0
0
0
8
1
1
1
16
0
8
16
1
2
2
2
4
4
8
8
0
0
0
0
2
0
0
0
8
40
40
16
16
16
1
2
2
2
0
0
32
8
24
24
56
8
24
24
8
8
8
0
0
0
0
0
0
0
2
16
0
0
0
0
0
0
0
8
8
8
0
8
0
0
0
0
0
0
0
32
32
0
16
8
24
8
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
8
8
8
8
4
0
0
0
0
8
8
16
16
16
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
16
16
24
0
0
0
0
0
0
0
0
8
0
32
2
0
0
8
8
0
0
24
0
10
8
0
16
0
2
0
45
0
8
16
0
9
16
0
16
1
1
4
4
4
0
0
0
2
2
2
2
2
16
8
0
0
0
16
0
0
0
16
16
8
0
16
0
0
0
8
8
0
1
1
1
10
2
2
2
8
16
1
1
8
0
0
0
0
0
0
16
33
0
16
10
0
52
0
0
0
8
1
1
6
0
0
16
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
8
0
16
16
16
0
0
0
16
4
8
32
32
0
0
36
0
0
0
1
8
8
0
8
0
0
28
28
28
16
16
3
0
2
0
8
8
8
8
8
8
8
4
0
4
0
0
9
28
1
0
0
16
8
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
13
0
0
36
0
8
8
0
16
0
32
32
0
0
0
1
1
1
1
16
0
2
0
1
1
16
0
0
16
16
0
8
8
8
8
2
2
0
8
0
32
16
16
8
8
8
0
0
0
0
0
16
2
0
16
8
0
0
0
2
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
24
16
0
1
16
0
8
0
8
8
8
18
2
16
16
16
4
29
0
0
16
16
22
0
0
1
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
48
8
8
0
0
0
8
8
0
0
0
0
8
0
0
0
0
0
8
8
16
16
0
8
0
0
16
48
0
8
32
26
4
0
0
0
0
0
0
0
0
0
0
0
2
0
2
2
2
30
0
8
8
0
8
16
16
0
0
16
16
28
28
16
16
8
8
8
0
0
0
0
20
20
0
8
8
0
8
16
0
0
0
16
16
1
1
16
0
0
4
0
16
16
0
0
8
8
8
0
0
16
16
0
16
16
16
16
16
16
0
12
4
16
8
8
8
8
8
8
16
19
19
0
16
16
32
32
2
2
2
2
0
0
24
0
0
16
16
16
8
8
8
24
8
8
8
0
4
0
16
0
0
0
0
0
0
0
8
16
16
0
0
16
16
16
16
0
0
0
0
0
0
0
0
4
4
0
13
0
12
12
12
0
0
18
16
0
4
4
8
8
8
0
0
0
16
16
0
1
1
0
0
0
0
0
0
0
4
0
0
0
41
41
41
20
4
8
48
0
16
16
16
16
0
16
16
8
0
0
8
0
0
4
16
16
16
0
0
0
0
0
0
0
8
8
8
16
8
8
8
8
8
0
0
8
0
16
0
0
2
2
16
0
16
0
0
8
8
8
8
8
8
8
8
8
8
8
8
16
21
21
0
16
0
12
16
16
8
8
8
1
0
0
4
4
4
4
4
0
25
0
0
0
0
8
0
0
2
0
0
8
0
0
0
16
0
0
0
8
16
16
16
16
16
0
0
0
16
16
16
16
8
8
0
0
8
0
0
32
32
32
0
16
8
16
0
0
0
16
0
0
41
0
16
16
16
0
0
16
16
8
0
16
2
2
2
0
0
8
16
0
0
1
16
0
8
0
0
0
0
0
0
0
0
17
8
8
0
0
0
0
1
17
1
0
2
16
16
0
16
16
2
8
0
0
0
8
0
0
0
0
0
0
0
0
0
8
16
9
0
8
8
8
8
8
8
0
16
16
8
7
7
7
8
8
8
0
8
0
8
8
18
0
0
4
4
8
0
0
8
0
8
0
16
0
2
16
8
0
0
0
0
0
8
8
1
1
1
0
0
0
0
16
16
0
16
8
0
0
0
8
1
16
16
0
8
8
0
8
8
2
28
12
4
8
24
16
4
8
0
4
0
16
8
16
0
4
4
0
16
4
8
8
16
16
0
4
0
0
0
0
0
0
0
0
16
0
0
16
0
0
0
0
0
8
0
0
0
0
0
8
8
8
8
0
8
0
0
0
0
0
8
8
0
0
0
8
8
0
16
0
0
0
20
20
0
20
4
4
8
8
0
4
0
0
0
0
0
16
0
0
4
4
4
12
0
0
0
16
0
0
0
4
0
4
4
0
8
8
8
8
8
8
18
0
0
0
8
8
0
0
0
16
0
0
0
19
19
16
0
0
4
0
16
16
16
16
16
8
16
16
1
0
0
8
8
4
4
4
0
0
0
0
16
4
4
8
8
8
12
0
1
8
8
18
0
0
8
8
8
16
16
4
16
16
8
8
8
8
8
0
1
8
2
0
8
16
1
1
0
0
0
0
1
1
0
0
1
16
2
2
0
0
0
0
18
2
16
8
8
8
2
2
8
4
4
0
0
8
0
0
16
16
8
0
0
0
8
0
16
0
0
0
0
0
0
8
2
0
0
24
16
8
33
0
8
8
8
4
0
2
2
2
0
16
20
1
1
8
0
0
0
0
0
8
8
8
8
8
16
0
0
8
8
8
17
8
8
8
16
0
0
0
24
16
16
16
0
0
8
8
8
8
40
0
8
0
0
16
0
0
0
0
16
8
8
8
8
25
1
0
8
8
6
4
0
29
8
0
0
8
0
9
9
9
8
8
4
5
3
16
0
2
2
2
2
16
16
16
16
8
20
16
56
24
0
4
0
16
0
0
0
0
0
0
0
2
0
0
0
0
25
0
8
0
0
4
26
2
0
0
0
32
0
8
8
1
12
28
0
0
0
25
0
0
0
0
16
0
16
16
16
20
0
0
0
0
20
20
20
0
0
0
2
1
8
0
0
0
0
0
8
16
0
0
24
0
8
0
8
8
16
8
4
5
24
4
8
8
8
8
8
8
24
0
0
8
8
8
8
0
0
8
8
0
0
8
8
0
0
0
0
0
41
41
8
8
8
8
0
0
16
16
8
8
8
8
8
0
0
16
16
0
8
0
0
4
4
4
0
0
0
0
0
4
0
0
2
2
2
2
0
10
9
16
16
8
8
8
8
0
0
0
8
0
28
4
4
2
4
0
8
8
0
0
0
0
8
8
8
0
0
0
24
24
24
24
0
0
0
0
0
16
16
8
0
0
0
8
0
0
0
4
4
4
4
4
0
16
0
0
16
2
16
0
8
4
4
0
42
16
16
16
8
16
16
0
0
4
4
4
4
4
0
16
1
1
0
0
1
4
8
8
8
8
0
0
16
4
0
0
0
24
24
16
2
16
2
16
4
4
8
0
0
0
0
0
1
0
8
8
24
8
0
0
16
8
8
8
8
20
20
20
20
32
17
28
8
16
0
0
0
4
4
4
4
0
1
8
0
8
8
8
8
0
8
32
32
0
4
4
8
32
32
0
8
8
0
0
0
8
0
0
0
2
0
8
0
0
0
0
0
0
0
0
24
0
0
2
0
4
17
17
16
16
16
36
0
0
0
0
0
0
3
48
8
8
8
8
0
0
0
0
16
16
24
16
1
8
8
8
16
2
1
16
0
0
22
2
2
2
0
0
0
0
1
0
0
0
8
8
8
0
8
11
0
0
16
2
2
4
0
0
0
4
4
0
24
16
8
0
16
8
0
0
12
0
0
0
16
40
40
4
0
0
0
0
8
8
0
10
8
10
8
0
0
0
0
0
0
0
0
0
8
0
1
8
0
25
25
0
0
16
0
0
0
0
12
0
0
0
0
8
0
0
0
0
28
28
0
0
8
0
16
8
0
20
0
0
8
8
8
8
5
5
0
8
0
32
8
0
0
16
16
4
0
0
0
24
24
16
16
0
0
0
0
0
8
8
16
16
16
16
16
17
0
16
16
16
16
0
2
0
16
8
0
18
16
0
0
8
8
8
8
8
0
0
1
1
1
0
4
0
0
16
0
0
0
0
0
0
2
2
8
4
0
2
2
2
0
10
8
1
0
16
16
1
0
0
48
48
24
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
0
8
8
8
0
4
18
8
0
0
0
0
8
16
0
0
0
20
0
0
8
8
2
0
4
4
8
8
40
16
16
8
8
8
16
8
8
32
8
8
0
0
0
3
0
0
0
0
8
8
16
16
4
0
0
10
24
16
8
16
4
0
0
0
8
4
0
15
16
0
0
40
40
2
0
8
0
4
0
24
0
8
5
5
16
16
16
8
8
8
0
16
0
0
9
8
0
0
0
0
0
16
0
8
0
8
8
0
8
16
2
0
0
0
0
0
0
0
8
0
8
8
18
8
8
8
0
0
8
0
0
0
0
0
0
0
0
16
30
0
0
0
4
0
2
2
0
0
16
0
0
0
0
0
0
8
0
0
2
2
0
8
8
0
0
8
9
0
1
0
4
2
0
32
8
24
24
24
24
24
24
24
2
8
59
25
20
0
0
8
8
8
42
10
0
4
4
8
8
8
0
0
0
0
0
0
0
2
2
0
0
0
0
8
8
0
9
1
0
1
1
1
0
4
4
1
13
1
1
8
0
16
1
1
8
0
0
1
1
0
0
0
2
2
2
8
0
0
1
1
0
0
0
0
8
8
16
12
0
2
8
8
8
8
8
8
0
4
0
0
16
0
0
0
0
16
1
1
1
16
8
0
1
0
0
8
8
25
16
16
24
10
0
34
34
34
0
0
16
0
24
24
24
24
24
32
8
28
28
8
8
0
32
32
0
1
1
0
0
0
1
1
8
8
20
20
16
16
16
0
18
0
0
1
1
8
8
2
16
0
16
0
0
8
8
0
0
16
16
16
32
8
0
8
0
16
16
16
16
0
0
8
8
16
2
8
8
0
0
16
0
12
0
2
8
4
4
8
8
8
0
0
0
0
8
8
16
16
0
24
8
8
8
0
0
0
0
0
8
16
0
8
0
24
8
8
2
2
0
0
2
2
8
0
8
0
42
42
0
0
0
16
0
8
8
8
8
0
16
0
0
8
8
2
8
8
8
8
8
8
8
8
8
2
6
6
4
2
0
0
8
8
8
8
8
0
0
0
0
0
16
24
8
0
0
0
0
0
0
0
8
0
0
8
8
8
8
8
12
12
8
8
24
24
24
0
0
27
27
16
16
22
22
8
24
2
2
12
0
8
8
8
2
2
2
12
12
8
0
0
0
0
2
0
48
48
16
18
16
8
32
0
16
16
0
0
0
0
8
16
0
0
0
0
6
6
6
0
0
8
8
24
8
0
0
1
16
0
1
0
0
16
0
0
0
12
8
8
8
8
8
8
8
16
0
4
0
0
0
0
0
0
0
0
0
0
0
8
8
8
2
4
0
0
10
8
8
0
16
16
8
0
16
16
16
0
0
16
0
24
8
56
16
16
16
0
8
0
4
0
20
0
0
57
0
0
0
8
0
0
0
4
4
4
0
4
4
16
16
8
8
0
8
0
0
5
8
2
2
32
0
0
0
8
8
8
8
0
0
0
16
0
0
1
1
8
16
8
8
8
0
8
8
8
0
16
1
0
4
0
24
8
8
0
0
0
0
8
8
16
0
0
24
8
8
0
0
16
2
8
0
0
8
8
8
0
16
16
16
16
16
4
0
8
2
4
8
0
0
0
8
8
8
0
26
4
0
0
0
0
8
8
0
0
0
0
0
2
2
2
2
16
20
0
0
0
0
0
16
16
0
0
0
40
0
2
0
0
0
31
8
0
0
1
0
8
4
0
0
16
8
8
0
0
2
2
16
1
0
8
8
32
0
8
8
20
16
16
16
28
12
8
0
0
0
0
0
4
0
4
8
8
8
16
0
4
4
0
0
1
1
0
1
1
1
1
0
0
0
0
0
4
8
16
16
0
2
0
0
0
0
0
4
4
4
8
18
18
6
8
0
0
0
0
0
8
8
8
8
0
0
0
0
0
0
0
16
16
0
0
0
0
0
18
0
0
0
8
0
8
0
0
24
0
8
0
0
0
0
1
1
1
16
16
16
0
8
24
0
0
0
4
16
0
4
8
16
0
0
0
0
0
0
0
16
16
0
0
0
4
0
0
0
2
0
3
51
16
0
8
0
0
8
8
8
0
16
16
16
16
4
0
0
0
0
8
8
8
8
8
20
24
0
16
0
8
0
0
16
16
16
16
0
0
0
0
24
24
24
24
24
16
0
16
4
16
0
8
8
16
16
4
0
0
4
0
4
12
0
0
0
0
4
4
16
0
0
0
8
0
0
0
36
0
0
0
2
16
16
0
0
16
0
16
16
0
8
0
0
16
16
0
0
0
8
8
8
8
0
8
8
44
0
0
16
0
8
0
0
0
0
0
41
10
0
16
8
16
4
0
0
0
0
0
16
2
16
4
0
0
0
4
24
8
0
16
16
16
16
16
0
0
0
0
0
0
0
0
0
8
0
8
0
0
16
16
16
16
16
0
1
1
1
8
8
0
8
0
4
32
0
0
16
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
16
0
0
0
8
8
8
1
8
2
2
2
4
4
16
16
0
0
0
0
0
0
0
0
4
4
4
32
32
0
8
8
0
20
0
8
12
1
8
8
36
0
0
16
0
0
2
2
0
0
4
0
8
0
8
0
4
4
4
4
4
4
4
4
4
0
0
0
0
8
17
17
8
0
0
8
8
16
16
4
4
0
16
2
1
1
0
8
8
0
16
4
8
1
1
1
0
0
0
0
0
0
0
14
0
8
8
8
1
1
0
6
3
0
0
0
0
0
8
8
8
10
8
8
20
0
0
0
0
16
16
8
3
3
3
3
3
8
8
8
0
8
0
0
8
8
8
8
8
8
12
12
0
0
0
0
0
12
1
8
16
16
16
0
16
1
33
16
8
0
0
0
0
8
8
33
33
8
24
16
16
0
4
4
0
8
16
0
8
0
0
0
2
2
1
0
16
8
16
16
16
16
16
20
0
0
10
10
10
0
0
0
0
24
24
8
0
0
0
0
5
1
17
0
0
16
16
8
12
0
8
0
0
0
8
0
26
4
0
8
8
16
8
8
8
4
4
28
0
4
4
16
16
16
16
0
0
0
4
0
0
0
0
4
4
4
0
0
0
0
2
8
8
0
0
16
4
16
16
0
16
0
8
0
0
0
0
0
0
0
0
0
0
4
6
8
0
0
0
1
0
0
35
8
8
8
16
16
16
8
8
8
8
8
6
1
1
1
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
0
0
0
4
4
8
8
9
8
8
16
16
16
8
0
0
0
0
0
0
0
0
0
0
9
9
0
16
16
8
8
8
8
8
16
16
16
16
4
9
16
8
8
8
1
0
0
0
8
0
0
0
8
8
8
0
0
8
0
16
0
0
6
6
0
8
8
1
1
1
1
1
1
0
0
0
0
8
0
0
1
0
0
0
0
0
8
8
0
0
0
0
0
2
2
0
0
0
8
8
8
8
0
0
0
0
0
0
3
4
0
4
4
0
30
28
16
16
16
16
12
12
8
8
8
8
0
0
16
16
1
0
32
0
8
8
0
8
0
6
0
16
8
16
16
16
24
0
8
8
0
0
0
0
21
0
8
8
0
16
0
0
8
42
8
0
0
0
0
32
0
17
24
0
16
16
0
16
0
0
0
0
23
23
0
0
0
0
0
0
0
4
0
0
0
8
8
16
16
16
0
16
0
0
0
8
8
0
2
2
0
0
0
8
8
8
18
0
8
0
8
16
0
24
24
24
0
0
8
0
16
16
16
0
0
24
0
0
0
0
0
0
2
2
18
18
18
58
0
0
1
0
0
0
0
0
40
40
8
0
0
0
8
0
0
0
0
0
0
20
0
8
8
8
8
0
16
16
0
0
0
0
0
16
4
0
0
4
4
4
24
4
4
0
16
16
16
8
0
0
0
0
8
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
16
18
22
0
0
0
0
16
16
1
1
8
0
16
0
0
0
0
0
0
0
8
8
16
16
16
16
16
0
1
8
11
11
8
4
20
4
8
0
0
4
6
32
0
8
32
0
0
2
2
0
0
0
8
8
8
8
8
8
0
8
0
16
20
1
1
1
8
8
8
2
2
2
0
8
0
0
8
8
8
8
8
0
16
0
0
0
0
8
2
0
0
0
0
18
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
8
0
0
0
0
24
0
0
0
8
8
0
8
8
8
8
8
16
1
16
16
8
1
0
60
16
0
0
0
0
8
0
8
8
1
0
0
0
8
0
0
8
8
8
8
0
0
0
0
0
0
8
0
1
0
20
8
0
8
8
8
0
8
8
8
0
8
0
20
20
20
20
0
27
27
0
0
0
0
0
0
0
0
8
0
2
2
8
8
8
8
8
8
8
1
1
1
1
8
8
8
8
8
0
0
0
4
0
0
9
9
1
0
0
0
4
24
0
0
8
25
0
0
0
1
0
0
32
8
8
2
16
0
16
16
0
0
0
12
0
6
32
12
0
16
0
16
21
0
8
8
8
4
4
0
2
8
8
8
8
8
0
0
48
48
48
16
16
16
8
8
20
16
16
8
4
0
0
4
8
8
8
4
4
4
17
8
16
16
0
0
0
0
0
0
39
39
16
0
0
0
0
16
9
0
0
9
16
24
16
0
0
24
24
24
0
0
4
16
0
0
2
2
1
0
0
16
2
16
16
16
16
0
32
0
1
0
0
0
0
0
0
0
0
6
0
8
8
0
0
0
0
2
2
0
0
20
0
2
0
0
0
0
0
0
32
4
4
16
2
2
8
1
0
0
8
0
8
8
8
0
0
0
0
0
16
16
16
33
8
8
8
4
20
20
0
32
0
0
0
8
16
8
16
16
16
3
0
16
0
0
0
4
0
4
4
8
1
2
8
8
11
11
26
6
0
0
16
4
4
16
0
8
16
0
16
16
0
0
0
8
8
8
8
0
0
0
0
0
0
2
8
8
2
0
0
0
8
0
8
24
24
0
8
0
0
40
40
8
8
0
12
12
12
2
16
16
0
0
0
0
0
0
0
0
0
0
32
48
48
16
8
8
8
0
0
8
0
0
8
1
1
1
10
0
16
16
16
4
0
32
32
8
8
0
0
0
2
0
24
8
8
0
6
6
0
8
8
8
0
0
24
16
2
32
4
0
16
1
0
2
8
8
4
0
0
0
2
8
8
32
8
8
0
11
0
8
8
0
0
8
8
0
32
0
4
16
16
0
0
0
0
2
2
0
0
8
16
16
16
12
4
0
0
0
16
1
8
8
8
8
0
0
0
0
16
16
32
8
8
8
0
0
0
12
4
0
2
2
0
9
9
0
8
0
32
2
4
0
0
12
8
0
0
0
0
0
0
0
0
0
0
4
8
0
0
0
8
1
1
0
0
0
0
8
0
2
2
60
8
8
1
0
8
8
8
8
4
4
0
0
8
4
56
56
0
0
0
8
0
2
0
0
0
0
0
0
0
0
8
8
6
0
0
4
4
0
0
0
0
8
16
0
8
2
2
2
2
2
0
8
8
8
8
0
0
8
17
0
0
32
32
0
8
16
16
0
8
12
2
0
24
0
8
8
0
1
32
0
8
0
1
0
4
4
4
4
4
0
0
0
12
4
1
1
1
4
0
0
24
2
0
0
0
0
0
0
8
8
0
0
8
0
0
8
16
16
0
0
0
4
0
0
0
4
4
4
16
8
8
2
2
2
0
0
16
16
16
16
0
4
16
0
0
0
0
4
16
0
4
8
0
1
0
8
0
0
0
0
8
0
8
8
8
22
8
8
11
8
4
4
0
8
9
0
1
8
8
8
0
0
0
0
16
8
8
8
0
1
0
0
0
20
0
0
0
0
0
8
8
8
16
16
16
16
0
0
0
16
24
0
1
0
0
0
0
0
0
0
4
0
8
0
0
4
0
0
25
0
0
0
0
0
9
4
4
0
16
16
16
0
16
28
28
0
8
2
2
0
0
0
8
2
2
2
8
0
0
0
0
0
0
24
0
8
0
20
1
0
16
16
16
16
0
16
0
0
8
8
8
8
8
30
8
8
0
4
8
8
0
0
0
16
16
16
16
16
8
8
8
8
1
1
0
0
0
2
0
0
8
8
8
0
17
16
0
0
20
0
0
16
0
0
32
0
0
0
0
0
0
0
0
4
6
6
6
6
6
6
6
22
0
0
0
0
0
24
24
0
8
8
1
0
0
0
8
8
4
0
0
0
0
0
8
0
0
0
0
16
11
8
24
8
8
8
0
16
32
4
4
2
8
0
0
16
0
1
0
0
0
8
2
2
8
16
0
0
4
2
5
4
40
40
40
16
0
0
0
0
0
0
0
16
16
2
2
2
16
16
16
16
8
0
0
0
0
8
0
0
0
0
0
4
4
4
4
0
9
9
9
9
0
3
0
0
0
16
16
8
0
8
0
8
0
0
16
16
0
0
0
0
0
0
0
0
4
4
4
0
0
0
0
0
0
0
4
4
0
0
0
4
16
16
16
8
8
8
8
0
17
0
20
4
8
8
0
16
16
16
16
16
0
0
2
0
0
0
2
2
2
2
0
2
16
0
0
8
8
8
0
0
0
0
8
2
2
24
0
0
0
1
0
61
20
41
0
1
0
2
2
8
8
8
2
0
0
0
0
0
8
8
4
4
4
0
16
16
0
0
0
0
0
1
0
8
8
8
0
0
3
3
3
0
24
16
8
8
32
32
0
0
0
0
16
16
24
2
2
0
0
8
1
1
24
0
0
0
0
0
8
8
8
0
0
0
0
9
8
2
4
4
16
16
16
16
0
29
29
29
29
29
29
29
29
29
29
0
0
4
0
0
0
0
0
0
0
16
16
16
16
0
0
20
20
1
1
1
6
24
32
32
32
18
0
0
0
4
4
4
4
0
12
0
2
16
0
0
0
0
0
25
25
4
4
4
0
0
8
0
0
0
8
0
0
0
8
0
16
0
0
8
0
8
32
16
0
8
8
0
10
0
0
2
8
9
16
16
0
0
0
8
8
8
41
0
0
1
1
1
1
0
4
30
0
1
17
8
18
0
8
8
32
32
0
0
16
0
0
0
0
16
4
0
0
0
0
8
2
8
8
8
0
0
0
2
2
2
16
16
0
16
0
16
0
0
0
0
0
8
8
26
26
0
8
0
8
13
8
32
16
20
20
1
1
0
0
0
1
4
0
0
0
0
0
24
24
24
0
8
8
8
0
0
0
8
0
8
16
16
8
0
4
0
0
6
6
0
0
8
0
0
0
32
0
16
0
0
0
16
16
16
1
0
30
30
0
0
8
5
8
4
0
0
0
16
0
0
4
2
8
8
0
40
40
40
0
0
0
40
16
16
16
16
1
22
0
24
24
24
16
16
0
1
0
4
32
16
0
0
0
0
24
24
8
0
1
0
32
4
4
0
0
0
24
24
8
8
2
2
17
17
17
17
0
8
2
2
0
16
1
1
8
0
0
0
0
0
0
0
10
0
17
8
8
0
1
40
8
8
2
0
0
24
24
0
0
1
0
8
8
8
8
20
21
40
0
0
24
16
16
8
8
4
8
8
0
2
0
8
32
32
6
6
0
0
16
2
0
24
24
0
0
0
16
8
8
8
16
4
0
0
0
0
16
0
0
8
8
8
0
8
8
0
0
8
8
8
4
0
0
16
16
1
1
8
8
0
8
8
12
8
0
0
0
0
1
0
16
0
0
20
0
0
0
2
2
8
0
2
0
0
24
24
0
0
0
8
0
8
5
0
8
0
0
8
0
0
0
8
0
0
20
20
0
8
8
0
0
16
1
1
1
8
0
24
3
3
8
8
8
0
0
2
8
8
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
2
24
24
0
0
8
33
0
0
8
0
0
0
0
0
0
0
16
0
8
8
12
12
8
0
0
4
4
0
0
4
2
2
8
8
8
8
0
0
0
0
0
16
16
0
8
2
0
8
8
0
24
16
0
0
0
0
4
8
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
8
8
0
0
0
0
16
2
16
0
0
0
0
0
4
4
8
17
0
8
8
0
0
0
0
4
0
8
12
8
1
1
0
16
0
0
0
8
0
0
0
16
8
0
8
8
0
2
2
0
0
0
0
0
0
0
0
1
1
1
0
16
0
0
0
0
0
4
8
16
16
0
0
8
8
8
8
0
0
0
16
16
0
20
0
0
0
8
0
8
8
0
16
1
1
6
0
8
8
2
2
4
8
0
0
0
8
8
0
2
0
0
0
0
2
8
8
0
0
0
0
16
16
16
16
0
8
8
8
8
0
16
16
0
16
8
0
0
8
8
8
1
8
8
8
8
8
8
0
28
20
0
8
0
17
0
8
8
8
8
0
0
0
0
8
8
8
1
1
16
0
8
8
16
16
0
0
0
0
4
4
0
0
8
16
4
4
8
24
8
16
16
0
4
0
24
0
0
0
16
16
16
0
8
8
0
0
0
0
0
0
0
0
20
20
2
2
0
8
0
20
20
20
0
0
0
2
0
16
16
16
4
0
0
16
8
0
8
0
12
12
16
2
8
8
8
0
24
32
56
0
0
0
0
0
8
0
0
0
0
0
0
0
1
8
4
0
16
16
16
8
0
0
0
20
20
0
0
0
8
8
0
0
0
0
0
8
0
2
16
8
0
20
20
20
8
0
0
0
0
0
0
16
0
0
8
32
48
0
0
0
1
1
4
0
0
0
0
0
5
0
4
0
0
16
0
8
8
0
0
0
0
4
4
4
10
16
16
8
0
0
4
16
16
8
8
0
0
0
4
4
0
26
24
8
0
0
2
2
2
0
7
7
0
0
8
0
16
2
0
1
1
1
0
0
0
24
2
0
4
2
0
0
0
0
0
8
8
8
2
0
1
1
18
0
0
0
0
0
0
4
0
8
16
24
24
0
2
2
2
2
12
12
0
16
16
16
16
16
16
8
0
0
0
31
0
8
8
0
1
8
1
1
0
8
16
16
0
8
0
0
0
16
8
8
16
0
0
0
8
32
8
0
0
3
8
8
8
0
1
1
1
0
33
0
8
8
8
8
8
24
8
0
8
0
0
4
4
4
4
0
0
24
0
1
0
8
8
16
2
8
8
8
8
0
0
2
8
8
8
4
0
16
16
0
8
8
8
0
0
0
0
13
13
16
32
2
0
0
8
0
0
0
0
0
8
0
20
16
16
16
16
8
8
4
4
4
4
2
0
29
0
0
32
32
0
0
0
8
0
0
0
8
8
8
8
8
0
0
0
0
0
32
32
8
8
18
0
0
0
2
1
16
24
0
16
0
0
1
1
0
32
0
0
8
0
0
0
16
16
19
19
10
0
0
8
8
0
8
2
2
4
4
4
8
8
0
1
1
16
4
0
8
8
0
0
6
6
2
0
8
8
4
4
4
4
8
2
8
8
0
4
4
0
0
16
1
32
8
8
8
0
0
0
0
0
0
20
20
0
1
24
8
8
24
0
0
0
0
0
0
0
8
0
16
20
20
4
4
4
8
8
16
0
8
8
0
16
24
16
8
8
8
8
8
8
8
8
22
16
2
24
0
0
0
0
0
0
0
0
0
0
16
0
1
5
0
0
36
36
0
0
16
16
16
2
2
8
0
0
1
1
0
0
0
16
16
24
24
24
16
8
8
8
8
2
2
2
2
2
2
2
0
0
8
8
5
5
5
1
40
40
40
7
8
8
16
1
2
0
8
0
0
0
0
0
8
1
1
16
16
0
0
0
0
8
16
4
16
0
0
0
16
1
1
0
0
0
0
8
8
8
16
16
16
24
0
0
8
0
0
0
0
4
0
0
0
8
0
32
40
40
44
32
8
8
8
0
0
0
4
4
4
4
0
0
0
0
0
0
0
16
0
1
0
17
16
17
0
0
0
16
12
8
0
0
0
0
16
16
16
16
24
24
4
0
0
0
0
9
0
16
0
8
0
0
0
16
16
0
16
16
16
8
8
4
4
4
12
0
20
20
8
40
0
0
0
3
16
16
8
0
4
16
0
8
0
0
0
0
0
8
16
16
1
1
16
2
4
0
0
0
8
2
0
8
8
8
16
24
24
16
16
1
1
1
1
8
8
8
4
4
8
0
0
16
8
16
2
0
0
2
2
0
8
0
8
0
16
32
8
0
0
8
2
8
8
0
2
8
16
8
8
8
8
8
8
8
8
2
8
8
16
16
0
8
4
8
2
0
0
0
0
0
0
8
0
0
0
8
8
8
8
8
8
8
3
0
0
8
7
7
8
8
0
0
0
16
0
2
4
4
0
0
0
24
24
24
8
8
0
16
8
0
0
0
0
20
20
0
0
16
0
2
2
16
0
16
16
0
0
0
0
0
18
18
18
8
0
0
8
2
0
16
16
16
16
8
8
8
0
0
0
0
8
0
2
0
0
0
8
8
8
16
0
16
0
0
0
0
0
32
32
16
24
4
16
0
0
0
0
0
0
0
0
8
0
0
8
2
0
9
0
4
4
4
8
0
2
8
1
1
0
0
0
0
0
4
4
4
0
0
0
0
0
0
8
0
0
0
16
0
0
0
0
0
0
8
8
8
0
0
24
24
12
2
2
0
8
8
8
4
4
4
0
0
8
0
0
0
1
4
16
16
16
0
8
16
0
0
0
0
0
0
16
0
0
9
9
24
24
24
16
8
8
0
32
0
0
0
0
0
0
0
8
0
2
16
0
8
8
0
0
8
8
8
0
8
8
4
0
0
8
2
24
16
0
0
0
8
8
8
0
0
0
0
24
0
16
16
8
8
0
0
16
16
16
16
16
1
0
0
0
0
8
8
8
0
8
8
8
8
8
8
8
8
8
8
0
4
16
16
16
17
17
1
0
0
0
0
0
8
8
4
16
8
8
16
8
8
12
12
0
1
2
5
4
8
1
1
1
0
4
8
8
8
8
8
0
8
0
0
16
16
1
1
2
2
2
24
0
21
4
0
16
0
28
32
0
4
4
8
20
20
20
20
0
8
8
8
8
20
0
0
4
1
1
0
0
0
0
4
18
8
8
8
8
0
0
20
20
16
16
24
0
8
8
8
0
0
0
0
0
0
8
4
2
0
0
8
17
17
9
9
16
4
4
21
21
21
2
18
0
0
0
8
0
2
2
0
0
16
16
0
0
0
0
0
0
8
58
3
3
4
4
4
24
24
16
16
24
24
8
8
0
1
1
0
0
0
8
0
8
1
16
16
16
24
24
8
0
8
8
8
8
8
8
4
20
20
12
0
8
0
8
8
8
8
0
0
0
8
16
0
17
22
22
0
0
0
8
8
0
0
2
0
0
20
20
8
8
8
0
24
0
0
0
0
0
0
4
24
24
0
0
16
0
8
8
8
0
0
0
0
8
0
0
1
0
0
0
0
0
0
0
0
16
24
24
16
8
2
0
0
1
8
0
0
8
37
0
0
0
0
0
8
26
4
0
0
0
0
16
8
16
0
48
32
16
8
8
0
8
8
8
8
8
8
8
8
8
0
0
8
8
8
8
8
0
0
0
2
0
20
8
8
14
12
12
9
9
9
0
0
0
0
0
18
8
8
2
2
0
16
2
2
25
0
0
16
16
16
16
4
4
17
17
0
20
20
1
8
8
8
4
12
0
0
0
0
0
0
0
0
0
0
0
7
7
0
0
8
0
16
16
16
16
1
0
40
40
40
8
0
16
27
27
30
8
20
8
0
0
16
0
0
0
26
8
16
16
16
16
16
40
40
0
0
0
8
0
8
56
0
0
0
12
0
0
20
8
8
8
1
1
0
0
0
0
0
2
8
8
20
0
5
0
20
8
8
8
8
17
17
0
0
0
0
0
2
8
1
0
8
1
1
10
0
28
4
1
4
0
8
8
0
0
16
0
0
0
18
18
18
18
4
4
4
4
16
8
12
0
0
2
2
0
0
8
0
0
24
0
0
0
0
0
8
8
0
0
0
0
0
8
8
8
8
8
8
0
0
0
8
0
0
0
0
8
4
8
0
0
8
8
8
8
0
4
4
1
0
0
0
8
8
0
0
0
16
16
0
0
8
0
0
8
8
8
16
2
0
0
0
16
2
2
8
0
0
0
24
24
9
0
0
0
0
0
0
0
4
4
0
8
32
32
2
2
1
0
0
0
16
16
16
16
8
8
0
0
0
0
8
6
4
14
0
0
0
0
8
0
2
8
8
0
12
16
18
18
8
8
16
1
0
0
0
1
16
16
16
0
4
4
8
2
0
0
0
0
8
16
0
16
8
8
8
0
0
0
4
8
16
16
1
8
8
1
0
8
0
0
0
8
1
1
1
0
0
0
0
0
8
30
30
0
0
0
16
0
4
4
4
0
0
0
0
8
0
16
0
8
8
16
0
8
8
8
0
1
1
17
0
0
0
0
8
8
8
1
1
1
16
16
16
4
0
8
8
0
0
8
8
8
0
0
8
0
8
0
8
0
0
0
0
4
8
8
24
0
0
0
0
0
0
0
0
0
8
32
0
8
8
8
8
0
24
24
18
16
0
0
8
8
0
0
0
0
0
0
17
1
16
8
0
0
4
4
24
0
16
16
0
0
8
0
0
40
48
8
8
8
0
0
0
8
16
16
16
32
32
0
1
0
0
0
16
0
0
16
8
16
16
0
0
0
8
1
1
0
0
0
24
0
8
8
8
8
0
0
16
16
16
16
16
0
8
8
8
8
8
8
2
2
2
16
0
0
24
24
24
8
0
0
0
0
8
0
0
0
0
0
0
4
4
4
4
4
0
0
0
0
0
4
0
8
8
0
0
0
0
16
0
0
0
0
18
0
0
0
12
0
0
8
0
2
16
16
16
0
0
0
8
16
0
4
4
4
4
4
4
4
4
16
0
0
0
0
0
12
4
4
0
0
0
0
0
0
0
0
0
2
3
1
0
0
4
0
24
8
8
8
8
0
0
0
4
4
12
0
8
8
0
8
8
8
4
0
10
16
18
2
0
0
0
0
0
0
0
16
16
16
8
8
8
0
16
8
8
8
8
0
0
0
0
16
24
24
8
18
18
0
16
23
0
0
0
2
2
0
0
0
28
8
18
18
18
8
8
8
8
0
0
0
1
1
1
0
8
16
0
0
0
0
0
0
0
12
0
8
8
10
10
0
0
0
8
12
0
4
0
0
0
16
16
0
0
2
8
8
8
16
0
0
0
16
0
0
0
0
0
16
0
2
16
16
0
0
8
8
8
8
8
8
8
26
22
2
16
16
0
0
4
4
0
0
8
0
0
18
18
18
50
8
0
0
0
0
0
0
16
32
32
8
8
4
4
2
2
0
2
2
0
0
0
0
0
16
16
16
0
8
0
0
0
0
0
0
0
24
24
1
0
8
8
8
8
8
8
26
26
26
0
2
16
1
0
0
14
0
16
0
0
4
8
8
8
16
16
8
0
16
16
4
4
4
0
8
8
8
18
18
16
0
0
0
8
8
0
0
16
4
4
4
4
0
0
0
0
0
0
0
1
8
0
0
16
16
16
16
2
2
0
0
0
0
2
16
1
8
2
4
4
4
0
0
8
8
0
0
48
16
32
48
0
8
0
0
4
4
4
16
16
0
0
0
0
2
2
2
0
0
0
0
4
0
16
8
16
16
16
8
8
8
0
0
44
0
2
8
8
8
5
5
2
2
2
2
30
30
0
4
0
0
0
0
0
1
1
0
0
16
0
0
0
8
8
8
8
8
32
1
1
1
1
0
1
1
1
1
0
4
4
12
16
16
16
0
10
10
8
8
0
16
0
16
0
1
1
1
0
0
8
8
8
16
16
0
0
8
20
4
0
32
0
16
0
0
0
0
8
8
0
8
0
0
0
0
0
2
2
2
8
8
8
0
24
0
8
8
8
0
16
0
8
18
16
4
4
16
18
0
0
0
0
4
20
8
8
8
12
12
12
0
0
16
4
0
0
60
0
0
2
8
0
2
2
16
0
0
8
0
0
1
1
1
1
0
0
0
24
24
2
2
8
8
8
22
12
8
0
4
28
8
0
8
8
8
8
22
22
22
4
4
4
0
0
0
2
2
0
0
8
8
8
8
0
8
21
1
0
8
8
8
16
36
36
16
0
5
5
4
0
16
0
0
8
8
8
1
16
0
8
8
16
16
16
2
0
0
0
20
0
16
0
0
16
0
2
0
8
8
8
24
8
0
0
1
0
0
0
8
16
8
0
16
16
0
8
0
8
0
0
16
0
0
0
0
16
0
4
1
1
32
0
24
24
8
8
0
8
8
8
8
8
0
36
0
0
0
0
0
0
4
48
0
0
8
4
4
0
4
16
16
16
16
16
8
8
8
0
6
1
8
0
1
8
8
0
0
4
8
0
0
0
18
18
0
24
24
24
24
24
24
0
0
0
32
8
8
8
32
20
0
8
16
20
0
16
8
0
0
0
4
4
8
0
0
8
8
8
0
0
8
12
12
12
12
8
8
16
16
16
13
13
13
0
0
0
0
18
32
32
1
1
1
1
1
1
1
1
0
8
2
2
2
0
24
24
0
2
2
4
4
16
0
0
0
8
8
0
0
0
8
0
0
0
8
8
8
32
8
0
16
8
8
4
4
0
8
8
32
32
36
32
0
4
8
16
16
0
0
0
0
0
0
16
0
0
2
2
0
8
8
16
0
0
1
0
8
0
0
2
28
0
0
0
16
16
0
0
16
1
24
0
1
0
1
1
0
0
0
0
0
0
4
4
4
16
8
8
8
16
16
0
0
8
0
4
8
0
33
41
8
4
4
0
16
8
16
0
0
0
0
0
8
8
18
0
8
16
32
2
26
0
4
8
8
8
8
8
8
8
8
8
16
0
1
0
16
8
8
8
8
16
0
4
2
16
4
16
0
0
0
0
6
6
0
1
1
1
4
0
0
8
0
24
0
0
0
8
8
8
22
0
8
13
13
13
33
8
8
8
4
8
2
22
18
16
8
8
2
0
0
0
0
0
0
9
1
9
9
0
0
45
4
0
0
0
8
4
16
16
8
8
8
0
8
0
1
16
0
1
16
16
0
0
17
0
24
0
0
0
2
8
8
8
8
0
0
0
1
0
0
8
8
8
8
8
8
16
0
0
16
16
8
0
24
0
8
16
0
8
36
36
36
36
0
0
0
18
0
0
0
0
0
0
0
0
16
8
0
0
0
0
8
8
0
44
8
1
1
1
16
37
37
37
0
0
4
24
8
2
8
8
8
0
0
32
32
0
0
0
0
0
1
0
56
0
0
13
13
13
2
8
4
0
0
0
0
0
1
33
33
0
8
8
4
0
0
8
8
0
0
8
2
8
0
50
0
16
16
16
16
16
4
4
8
8
8
8
2
2
6
0
0
1
0
1
1
32
8
8
16
8
0
16
2
2
0
0
0
0
16
0
0
0
0
0
0
0
0
8
8
8
8
1
16
17
17
0
0
8
8
0
0
2
16
8
0
0
16
8
2
0
0
1
0
0
0
4
4
4
0
16
17
1
0
16
16
0
0
0
16
0
8
0
16
8
8
0
0
0
0
4
8
8
17
8
4
4
8
16
0
8
8
0
0
16
16
16
16
0
4
4
4
0
16
16
16
16
16
16
0
8
8
0
8
4
16
16
9
9
8
0
0
4
8
16
4
24
0
32
5
4
8
8
8
16
16
16
17
16
16
16
0
0
0
0
0
0
8
8
4
4
4
16
4
8
0
0
8
0
0
0
0
0
4
2
0
0
8
0
0
1
8
8
8
8
8
8
1
1
8
8
8
2
2
8
8
8
16
0
0
0
0
2
8
0
1
0
0
0
16
0
0
8
8
8
8
8
8
16
16
16
16
16
0
16
0
0
16
16
16
29
8
8
0
2
2
16
0
8
8
16
8
0
0
0
0
0
16
16
2
8
8
16
56
16
0
0
0
0
24
4
0
16
28
16
12
0
0
0
8
4
0
0
0
16
9
9
16
16
8
0
0
0
0
0
4
2
2
2
0
8
8
0
0
16
0
0
44
1
16
8
12
8
8
8
8
8
12
4
16
24
9
8
4
20
20
20
0
0
16
0
16
16
16
8
8
0
8
0
0
8
16
0
0
0
0
16
16
2
0
0
0
0
0
0
0
0
4
4
0
0
0
0
0
0
0
4
4
8
16
16
0
8
8
22
0
0
8
8
12
0
4
0
8
16
20
8
8
8
8
0
0
0
0
10
0
0
28
16
16
16
0
0
0
16
0
0
4
8
2
0
0
16
16
16
16
0
16
16
8
24
8
8
4
0
4
0
0
0
0
1
1
1
0
8
0
16
12
8
8
8
8
0
6
6
16
16
8
8
8
8
0
0
0
24
0
8
8
8
0
0
0
2
0
0
8
8
16
16
0
8
8
0
0
8
8
8
0
16
14
14
2
0
0
0
8
8
4
4
16
0
0
0
0
0
16
0
0
0
0
4
0
0
4
8
0
24
8
16
16
0
16
4
0
17
0
0
0
0
0
1
1
16
16
0
0
0
18
0
0
4
4
4
8
5
1
1
1
0
0
0
0
0
0
4
0
0
2
2
0
0
0
16
16
8
8
8
1
1
0
0
8
8
8
8
0
0
0
0
5
0
20
0
0
0
4
8
8
0
0
8
1
8
4
8
2
2
8
0
0
8
0
8
8
8
9
8
8
8
4
8
8
0
0
0
0
0
0
0
0
8
0
0
0
0
3
4
4
0
0
0
24
8
8
0
0
24
16
16
8
4
4
4
4
0
1
16
16
0
0
0
4
4
4
4
8
16
0
0
0
1
4
4
0
8
8
1
0
4
4
8
8
2
0
0
8
8
8
8
16
22
22
22
0
4
16
1
0
8
32
16
16
8
1
12
12
4
3
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
2
0
0
8
8
8
16
0
0
0
0
0
16
0
4
0
16
16
2
0
4
20
0
8
0
0
8
17
17
0
0
0
0
8
8
0
22
0
16
16
4
4
0
0
0
18
0
0
0
0
0
0
0
0
16
16
8
8
0
0
8
16
16
16
0
8
1
1
0
8
0
16
16
17
4
4
0
8
0
0
16
0
0
20
4
0
0
0
0
16
0
16
0
16
16
4
0
0
0
4
0
0
0
0
2
2
2
2
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
1
0
4
4
1
1
0
0
8
0
16
4
0
8
33
0
0
0
0
2
0
0
0
8
8
4
16
24
26
0
2
2
8
0
0
0
2
38
0
8
0
0
0
0
0
0
0
0
1
2
0
0
56
56
0
4
0
1
0
2
2
2
16
0
18
4
8
8
8
0
0
0
8
8
0
8
8
0
0
0
2
2
0
16
16
16
0
0
33
16
1
8
9
9
9
1
0
0
8
8
5
0
0
0
8
16
0
8
8
8
0
48
0
1
1
25
0
0
0
0
24
32
32
0
0
0
2
2
8
8
0
8
8
1
0
8
0
8
1
0
0
0
12
12
8
8
8
2
0
1
1
0
0
0
0
0
16
16
16
4
4
4
12
44
44
8
4
8
17
17
20
8
31
31
31
31
1
1
1
8
0
0
0
16
1
42
0
0
8
8
0
0
0
0
8
0
0
0
18
18
8
8
0
8
8
0
0
0
24
8
8
8
8
8
1
8
8
8
8
0
0
17
17
0
0
0
0
0
16
16
16
8
16
0
16
16
1
8
0
0
0
16
4
8
2
8
8
20
0
2
2
2
8
0
0
0
16
16
16
16
16
16
0
0
0
0
0
0
16
0
0
2
2
8
0
24
6
6
0
0
0
8
8
0
3
24
0
0
0
0
8
0
12
12
8
0
0
0
8
0
1
8
0
0
1
1
32
0
8
8
0
0
0
0
4
10
8
8
8
0
0
9
1
1
16
16
0
8
20
20
0
20
16
0
0
16
0
0
1
1
9
0
8
8
8
16
24
0
0
0
1
25
8
0
0
16
2
0
0
0
0
0
0
0
2
2
32
8
0
0
0
8
1
1
16
16
16
16
0
0
0
8
8
8
8
8
8
0
40
0
0
1
1
16
20
0
0
0
0
16
16
16
1
8
8
8
16
0
8
8
0
2
2
0
0
2
2
2
0
9
9
0
6
6
2
2
2
8
0
0
16
8
2
4
20
4
32
32
32
0
0
0
0
0
0
0
12
8
8
16
16
16
0
5
8
0
0
38
0
8
8
0
0
16
23
23
0
0
0
0
16
16
0
0
0
0
24
16
10
32
0
16
16
4
10
1
1
8
0
8
0
1
8
16
0
2
2
6
0
26
26
0
0
17
16
0
0
0
0
0
2
2
2
2
0
0
8
8
0
0
8
8
0
0
0
40
8
4
1
0
4
32
32
32
1
1
1
1
1
0
0
16
16
24
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
32
0
0
0
2
8
16
0
4
4
0
0
0
0
0
0
0
20
20
4
0
1
1
4
0
8
8
8
8
8
8
8
8
8
0
0
0
0
0
0
8
8
0
8
8
4
28
4
4
0
24
24
24
20
20
20
0
0
0
0
1
8
0
8
0
0
20
0
0
0
26
8
8
0
16
10
4
4
4
4
8
16
16
16
8
18
2
2
2
2
8
10
0
0
8
8
16
16
0
0
17
4
16
16
8
16
8
8
0
0
16
0
0
0
0
0
16
0
0
2
2
2
8
0
0
16
16
8
8
8
1
1
4
4
4
4
0
0
8
8
34
2
4
4
16
7
2
2
2
28
16
20
20
0
8
8
8
0
16
16
0
0
0
34
8
8
8
16
16
16
8
8
8
8
8
8
8
0
0
0
8
8
8
0
8
8
8
8
8
8
0
8
1
1
0
0
0
0
18
8
0
16
16
0
8
0
0
0
0
1
8
8
0
0
0
0
4
0
8
4
4
56
36
4
4
4
0
8
4
4
4
8
16
3
0
8
8
4
16
0
0
8
8
8
8
8
8
0
0
10
10
0
8
8
12
12
12
0
0
4
8
8
0
1
1
34
34
0
8
8
8
8
16
0
0
16
8
8
8
8
0
0
0
0
0
8
8
8
8
8
8
8
0
8
32
18
10
0
4
4
4
0
16
16
16
16
4
4
0
16
16
0
8
8
0
8
8
9
0
0
8
16
26
26
8
0
16
16
16
16
9
0
0
0
8
8
0
0
0
1
1
4
4
0
0
0
16
16
16
4
0
0
0
0
0
0
26
0
0
0
8
0
8
4
0
0
0
0
1
0
62
0
0
0
0
0
1
0
3
1
0
8
4
4
0
8
8
8
0
1
1
3
3
16
16
16
0
0
22
16
0
4
4
8
8
8
8
0
0
0
0
0
4
0
0
0
8
8
0
8
8
0
0
8
2
2
0
20
0
0
0
8
0
0
0
2
2
16
0
0
0
0
0
0
16
8
0
8
0
0
8
8
8
8
8
8
8
8
0
0
8
4
4
4
0
16
8
0
0
0
0
40
16
24
24
24
0
0
0
0
33
1
1
0
16
16
16
0
4
4
4
4
4
0
0
0
8
8
0
1
3
3
0
9
9
0
0
0
16
0
0
16
16
16
0
16
0
0
8
2
0
0
8
8
8
8
0
32
32
32
0
0
2
8
0
0
19
0
18
16
0
8
0
8
0
12
0
0
0
0
0
0
0
4
8
8
0
1
18
32
32
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
4
16
16
0
4
0
0
8
20
1
0
0
8
0
0
0
0
0
18
18
8
8
44
44
16
0
0
4
4
8
8
8
0
0
8
8
8
0
8
4
4
4
4
0
0
0
8
0
0
0
2
2
4
0
0
0
0
0
0
0
0
0
0
8
20
16
0
0
8
0
24
8
8
8
0
0
0
0
29
29
29
29
0
16
0
1
1
0
0
0
0
0
1
1
0
8
0
0
19
4
4
0
0
0
16
8
0
8
0
8
16
16
16
8
8
8
0
0
8
8
8
0
2
4
16
16
0
0
1
0
0
12
12
12
12
0
8
8
8
0
0
16
16
0
0
24
24
32
0
0
14
14
14
14
0
0
18
24
0
1
1
0
9
9
9
8
8
8
8
8
0
0
6
2
8
8
8
8
0
0
0
8
8
16
12
8
8
8
8
8
16
8
8
0
0
0
20
2
8
1
0
0
8
8
0
16
0
16
20
20
20
4
4
0
8
8
8
8
17
8
16
8
0
0
0
2
2
0
0
8
8
0
0
1
1
1
16
1
8
4
8
4
4
8
8
8
1
1
0
0
0
8
8
16
8
16
8
8
20
8
9
0
16
4
16
8
8
17
48
0
0
8
24
24
24
24
24
24
24
24
24
24
1
1
1
0
8
8
8
0
0
28
28
0
0
0
0
8
8
0
49
49
49
0
16
16
4
0
0
0
0
0
0
1
1
1
0
0
0
16
0
0
0
0
0
0
8
24
24
1
16
8
1
32
0
0
8
8
8
8
8
0
16
16
0
0
0
0
2
22
8
0
4
4
8
8
8
8
8
8
16
53
18
0
0
8
8
0
0
8
4
0
0
0
0
0
8
0
0
0
16
4
8
8
0
0
0
0
0
16
17
0
8
8
0
0
24
24
8
8
22
0
0
0
2
2
2
18
1
1
1
8
0
0
0
9
9
0
0
0
0
0
1
8
16
4
4
0
0
12
12
8
8
8
8
4
16
1
8
17
17
2
2
16
0
0
0
32
8
8
0
0
0
0
0
25
0
4
4
0
8
0
0
8
8
0
0
0
16
20
8
0
0
0
0
0
0
4
8
52
0
8
0
1
0
16
0
44
0
0
3
3
2
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
16
12
8
8
8
16
16
0
9
9
0
0
0
0
0
0
0
0
32
1
1
8
8
8
8
0
0
8
16
0
0
8
0
0
8
0
16
0
8
0
1
1
0
0
0
0
0
8
0
2
2
16
0
0
0
0
0
8
16
16
4
4
16
0
16
8
8
8
8
0
2
24
24
8
8
24
0
0
16
0
0
0
20
12
0
56
56
4
8
8
8
8
1
1
2
0
0
32
0
4
1
8
0
0
0
0
0
8
0
8
8
2
2
0
0
8
8
0
0
0
0
0
0
1
0
0
0
32
0
0
8
8
2
0
8
0
1
3
8
0
8
24
1
1
24
8
8
16
4
0
0
0
14
0
0
0
0
16
16
16
12
16
16
1
0
0
4
4
0
4
0
0
0
18
8
16
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
2
2
12
4
4
0
1
8
24
0
0
0
16
16
16
16
0
0
8
16
0
8
8
8
16
16
17
8
0
4
20
0
0
0
0
16
16
16
4
0
0
0
0
16
16
16
0
0
20
59
16
16
16
16
16
0
0
8
0
0
0
4
16
0
8
8
16
0
8
8
16
4
57
57
57
5
0
8
8
8
0
16
16
0
0
8
8
8
8
8
8
8
8
8
8
8
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
8
4
0
0
0
0
0
0
8
0
0
0
0
1
1
8
0
16
16
16
16
16
16
8
8
16
24
24
4
0
22
12
4
0
1
8
8
0
0
2
16
0
16
0
8
0
4
0
0
0
33
12
12
4
4
0
4
4
4
0
0
0
8
0
0
8
8
8
8
8
4
0
0
8
16
0
32
8
24
0
2
4
4
4
4
20
0
16
8
4
4
0
49
16
16
0
0
0
4
8
0
0
0
0
0
8
4
18
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
17
4
0
0
0
0
32
0
0
30
16
16
16
24
17
17
17
0
0
4
4
0
0
12
0
0
0
0
0
0
0
29
0
16
16
16
16
0
0
0
8
8
0
0
0
0
0
0
0
16
0
0
1
0
0
1
0
0
0
0
16
16
16
16
16
0
0
0
0
0
59
0
0
8
8
8
0
16
0
22
4
9
8
0
0
4
0
8
0
0
0
0
0
8
12
24
0
8
1
1
0
0
0
0
0
8
4
0
31
31
4
0
0
0
20
8
8
8
8
5
0
8
8
8
16
0
0
0
1
0
8
8
0
8
8
0
0
0
0
0
8
8
0
0
2
1
16
0
0
8
8
8
0
0
0
0
0
0
24
0
2
0
0
0
0
0
8
16
16
16
16
0
0
0
1
1
1
8
8
8
16
16
16
0
8
8
0
0
2
40
40
8
0
0
0
4
4
18
18
18
18
3
8
16
16
8
8
0
0
16
18
16
0
0
0
8
16
0
0
1
6
4
8
8
2
2
2
0
16
16
16
18
3
1
0
0
0
8
0
0
0
0
24
0
0
8
0
4
16
16
0
0
0
8
8
8
8
8
0
0
0
0
0
0
0
8
8
8
8
0
8
8
8
8
21
21
21
21
1
0
28
28
4
4
0
4
0
0
0
8
8
8
8
8
0
0
0
0
8
8
16
16
0
0
0
0
0
0
0
12
16
16
16
8
8
0
0
1
1
0
0
0
0
0
16
0
0
8
8
0
8
0
0
0
0
0
40
16
16
16
16
8
0
0
8
8
8
0
16
16
0
8
0
0
16
0
4
4
4
4
0
0
0
16
0
4
20
20
0
8
8
8
8
8
1
8
16
16
1
0
0
0
8
24
24
8
8
0
16
0
0
0
2
4
0
16
0
0
4
9
9
0
8
8
0
0
8
8
32
8
2
8
0
0
4
0
0
0
0
0
0
0
20
8
0
0
0
0
8
0
0
0
11
2
0
0
0
0
0
0
0
24
16
8
24
16
8
8
0
0
0
0
0
24
24
8
0
0
0
8
24
24
0
4
4
60
0
0
8
0
0
0
0
0
0
8
0
4
4
8
24
8
16
16
16
16
0
0
16
0
8
0
8
18
18
17
8
8
8
8
8
8
8
8
0
0
0
8
8
0
0
0
0
0
0
0
0
16
8
8
4
2
2
0
0
0
0
0
40
8
2
0
4
6
8
8
8
8
0
8
8
0
0
0
0
24
16
0
0
0
0
0
0
0
0
0
0
1
1
21
10
0
0
8
0
0
0
0
8
8
0
0
1
1
1
1
0
8
8
8
0
8
6
8
8
8
0
8
8
1
20
20
2
2
0
8
8
0
0
8
8
0
0
0
8
8
0
0
8
8
0
0
16
16
0
16
0
0
0
4
4
16
16
1
16
16
0
16
16
16
8
8
16
16
16
16
0
0
0
0
16
0
8
8
0
0
0
0
16
0
16
8
8
8
1
0
0
16
16
16
0
0
0
0
0
0
36
4
0
0
4
16
24
12
0
8
8
16
0
23
0
0
0
1
8
0
0
0
0
0
0
0
0
4
0
1
0
0
16
16
0
0
0
0
0
0
8
8
2
0
17
0
16
16
8
0
8
0
0
4
4
4
0
0
0
16
4
4
8
8
4
4
0
0
17
17
16
16
16
16
16
16
16
16
16
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
16
8
0
0
0
0
18
0
0
6
8
0
8
8
0
0
0
0
0
0
0
16
0
0
0
0
0
16
16
16
16
16
8
8
8
0
0
0
0
0
0
0
0
0
18
0
4
1
0
0
4
17
1
0
0
26
26
0
0
0
0
0
2
2
0
0
2
0
0
2
2
2
18
5
16
16
0
0
24
0
8
1
16
0
0
0
0
16
0
0
0
0
8
0
1
0
0
8
24
0
21
0
8
21
8
8
8
16
8
16
0
8
8
0
0
0
0
0
0
1
4
4
12
1
0
8
32
16
0
0
9
8
0
16
1
0
32
32
8
8
0
24
24
32
8
8
0
0
0
0
0
0
17
17
16
0
0
4
20
20
0
0
0
8
0
0
0
8
0
0
0
0
8
19
8
8
0
2
2
2
8
8
0
12
0
0
0
0
0
0
0
0
0
10
18
16
16
16
16
8
8
0
0
8
0
0
0
0
0
0
0
8
8
8
8
20
20
0
0
1
0
0
0
0
8
8
12
16
0
0
0
0
0
0
0
0
0
0
8
30
0
16
0
0
0
0
0
0
0
0
0
0
0
4
4
0
0
0
0
1
16
16
0
0
0
0
17
1
16
16
1
0
0
8
8
8
0
0
0
0
0
2
2
0
8
16
0
0
0
0
8
4
16
1
16
0
0
0
8
8
8
0
8
0
0
16
16
8
4
0
8
0
0
8
8
0
0
16
0
0
0
8
0
32
26
26
1
8
1
9
9
4
16
16
0
0
0
0
0
1
0
0
0
16
16
28
28
28
16
16
8
8
24
24
24
24
24
16
0
0
0
0
0
0
16
0
5
0
8
8
8
0
8
8
8
8
8
16
16
1
1
1
1
0
0
4
4
0
0
0
0
8
8
0
0
0
16
0
0
0
0
0
0
8
8
16
16
16
16
16
16
8
0
16
0
4
4
18
18
0
16
16
4
8
8
8
8
8
8
32
32
8
0
0
0
0
0
0
0
0
4
4
4
4
8
8
0
0
16
28
0
0
8
0
1
1
16
4
0
0
8
8
0
4
8
24
8
0
0
8
0
0
0
0
0
44
44
8
8
0
0
16
0
1
0
0
0
8
8
8
8
0
4
0
0
0
0
0
0
49
0
2
0
0
40
32
4
4
4
0
4
0
16
16
16
1
0
0
0
8
0
0
8
8
0
16
0
0
12
8
4
0
8
8
24
0
0
4
8
2
2
0
32
32
32
2
8
8
8
8
0
0
0
0
4
4
0
0
0
0
0
0
0
0
0
0
4
2
2
0
16
8
0
2
0
0
0
0
8
0
16
16
16
5
0
0
0
0
8
8
8
8
26
0
4
4
4
4
1
10
0
52
20
0
0
0
32
0
0
0
4
0
8
8
8
0
1
16
16
16
16
8
0
0
32
8
0
4
4
0
0
0
0
0
3
0
0
0
4
4
4
0
0
0
8
44
0
0
0
0
8
8
4
4
5
20
18
0
0
8
8
0
1
1
0
0
0
0
0
4
12
1
6
6
10
16
0
4
16
8
0
0
10
10
0
20
18
18
1
0
0
0
0
8
0
0
0
16
16
0
0
0
4
0
8
0
2
32
32
8
8
16
16
0
8
0
0
1
8
1
8
8
36
12
0
0
28
0
18
9
0
8
0
0
20
20
16
0
0
0
0
2
2
2
2
2
2
2
4
0
0
0
0
0
4
0
0
8
16
0
0
16
16
0
0
8
0
16
16
16
16
0
0
0
2
2
8
0
0
0
0
0
2
0
8
16
0
32
16
16
8
0
8
8
8
8
8
1
48
0
0
0
4
4
0
0
8
0
0
0
20
20
16
0
0
0
0
0
8
0
0
0
0
0
16
8
0
16
16
0
16
0
0
4
4
4
4
16
8
8
8
12
0
0
0
1
1
8
0
0
0
1
1
1
0
0
0
0
0
40
0
0
0
0
0
18
16
16
8
8
8
0
0
0
0
0
1
0
0
8
8
8
1
8
8
0
0
1
1
8
8
8
8
0
0
0
0
0
41
0
8
8
0
0
0
0
0
16
16
1
1
0
17
16
0
24
16
8
8
8
0
0
0
8
8
1
0
8
16
0
0
0
0
0
16
4
16
24
0
2
2
0
0
0
0
0
8
8
8
0
16
16
16
8
6
4
2
4
0
24
6
6
0
0
0
0
0
24
0
0
0
0
0
8
8
16
16
24
2
2
28
28
0
0
0
0
0
0
0
0
8
8
0
0
0
8
8
0
20
8
0
8
4
16
16
0
0
4
0
0
4
4
4
1
1
16
16
16
25
0
0
32
32
32
32
0
8
8
0
0
8
8
16
16
0
16
16
0
48
17
17
4
4
8
8
16
0
0
16
0
0
0
16
4
0
2
16
16
0
0
0
4
0
0
0
0
40
40
4
22
12
0
0
0
0
34
34
0
0
0
8
8
4
4
0
0
8
8
0
0
0
16
0
0
12
1
1
1
0
32
8
1
1
0
0
0
4
18
8
0
3
8
8
8
0
0
0
0
3
0
0
0
16
16
16
0
0
0
16
16
0
8
8
16
8
0
8
8
0
0
2
0
16
0
0
2
2
0
8
0
4
4
0
16
16
0
8
8
0
1
8
8
4
16
8
8
8
8
0
0
0
0
0
8
8
8
4
0
8
8
8
8
0
0
8
8
0
0
0
0
7
8
8
8
0
0
16
16
2
0
16
16
0
8
8
26
10
8
8
8
16
32
0
8
8
36
32
32
1
0
0
8
8
8
8
0
16
16
16
16
0
0
0
8
8
8
8
16
16
0
2
16
16
8
16
16
0
0
0
2
0
0
8
8
16
8
8
4
10
4
16
16
16
0
0
0
0
20
1
0
0
8
8
0
0
0
0
8
16
16
8
1
1
1
0
8
8
8
8
16
0
0
0
4
56
56
8
0
16
16
0
25
25
28
16
1
1
8
8
8
8
8
8
8
24
24
0
0
0
0
0
0
24
8
0
0
0
16
16
16
0
2
2
8
4
16
8
0
0
1
0
0
40
40
40
8
16
8
32
16
16
16
3
8
2
0
0
8
1
1
3
16
8
1
0
4
4
0
8
0
0
8
8
0
8
16
16
0
1
1
8
8
32
32
0
8
8
4
4
4
8
24
16
0
0
8
0
0
0
1
1
8
8
4
4
4
0
0
0
0
8
8
12
12
12
8
8
0
4
9
0
0
0
8
0
0
8
0
8
8
16
16
8
8
1
4
16
16
8
8
16
0
0
0
20
20
0
24
8
0
8
6
6
6
6
1
0
0
4
4
4
4
8
8
0
20
0
0
0
0
24
32
0
8
8
40
0
0
8
8
0
4
4
4
16
0
8
0
0
8
8
1
16
0
0
8
4
4
0
0
2
2
41
8
8
8
0
8
0
0
0
2
1
1
28
16
8
16
16
16
0
0
0
32
8
8
0
0
0
8
8
16
16
16
8
0
0
0
24
16
0
8
0
0
16
8
6
16
16
16
2
2
2
48
0
0
8
8
2
2
8
8
0
0
0
5
16
16
8
48
48
0
16
8
8
16
0
0
0
8
16
16
0
0
0
1
8
8
4
4
18
4
0
0
0
0
8
8
0
0
1
16
8
8
8
4
16
16
16
0
4
4
0
8
8
8
33
2
2
0
2
2
0
0
0
0
0
0
16
0
0
32
32
32
36
0
0
8
10
10
10
10
0
2
10
10
20
0
8
16
8
8
8
8
18
6
0
0
16
16
16
16
16
16
0
8
8
8
16
0
24
16
16
16
16
0
8
0
0
4
4
4
0
0
2
2
10
0
0
2
2
56
56
24
2
2
0
8
8
0
8
16
0
0
0
0
0
2
16
8
8
8
8
0
10
10
10
0
8
12
8
8
8
8
0
8
8
8
6
1
2
2
16
8
0
32
32
16
0
8
2
16
16
16
16
0
16
2
8
8
8
8
8
8
24
24
24
0
8
8
13
13
13
8
8
8
21
16
0
8
4
0
24
24
0
0
0
0
0
0
0
8
8
16
0
4
0
0
0
0
8
16
0
0
0
4
4
16
0
0
8
8
8
0
0
8
8
16
0
8
8
8
0
16
8
8
10
16
0
2
8
0
0
16
16
16
21
16
16
16
16
0
12
16
16
16
16
8
0
0
0
0
0
2
0
1
1
1
24
27
8
8
8
0
8
4
4
4
4
60
60
60
0
16
0
0
8
8
8
8
0
8
0
4
0
0
8
8
40
40
56
8
0
0
0
0
0
0
1
1
0
8
0
2
2
2
2
4
0
8
8
1
12
12
12
12
12
0
4
4
4
4
4
8
16
0
12
12
16
32
0
0
0
0
0
0
16
8
8
0
0
0
0
8
0
0
3
16
0
0
0
0
8
8
0
0
24
8
16
16
16
0
0
0
5
5
8
0
0
4
4
4
4
4
4
16
16
0
4
4
0
0
8
8
8
1
0
4
4
0
16
17
4
0
2
0
0
0
51
3
1
0
0
0
0
2
1
1
1
1
8
8
8
0
8
0
0
8
8
16
16
8
0
8
8
8
8
0
0
0
0
0
9
0
21
8
8
8
4
4
8
8
8
8
8
0
8
8
16
16
16
0
0
0
0
0
0
4
8
8
24
24
16
16
16
2
2
0
16
16
16
16
16
16
0
0
0
0
0
0
8
2
4
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
4
13
16
0
9
9
4
16
16
16
0
0
0
0
0
0
4
8
12
2
8
8
2
16
0
0
4
0
16
2
2
2
2
8
8
0
0
4
8
8
8
2
0
8
8
16
1
1
1
4
0
20
16
1
16
8
8
8
0
0
12
12
34
0
6
2
2
0
8
2
8
0
4
4
12
4
4
4
4
0
16
4
17
0
3
0
2
2
0
8
8
8
0
0
0
0
8
8
2
2
2
2
2
0
0
10
0
0
4
4
0
1
1
2
0
8
8
8
0
1
8
0
0
16
4
8
8
0
0
6
0
0
0
0
0
16
16
16
4
2
8
0
16
16
32
32
8
8
8
8
0
0
16
16
36
32
32
24
24
0
0
0
8
8
8
8
17
8
0
2
24
16
8
4
16
16
16
16
0
8
2
2
38
38
38
0
0
2
2
4
4
8
8
16
16
16
16
8
8
24
0
8
16
4
8
8
0
16
0
4
4
4
16
24
16
8
0
16
16
16
16
16
0
8
0
0
16
16
16
8
8
0
0
1
1
0
12
0
0
16
16
16
25
0
8
10
16
16
16
9
8
0
0
8
8
0
0
8
8
8
8
8
8
0
16
0
0
4
6
16
0
0
16
2
8
0
0
0
0
0
8
8
4
16
16
0
16
10
16
16
8
0
0
0
32
32
0
0
0
0
16
16
16
16
16
16
16
32
0
2
2
8
0
8
0
4
0
2
2
0
16
16
16
24
0
4
16
8
8
8
2
0
0
8
8
8
8
0
8
0
0
16
8
8
0
0
32
0
0
0
0
4
4
0
8
0
8
0
8
8
8
4
4
16
8
1
1
16
8
24
8
0
8
8
0
0
0
4
16
8
8
0
8
8
8
8
8
8
8
0
0
0
4
4
0
16
2
0
16
43
0
0
0
0
24
4
4
16
2
2
0
0
0
1
24
16
16
8
0
16
16
16
0
8
8
8
8
16
2
2
1
0
0
0
8
0
8
8
0
10
10
16
16
8
0
0
8
8
0
8
8
0
28
0
6
2
4
4
8
8
8
8
0
0
8
8
8
24
8
16
0
4
16
16
0
16
8
8
0
0
0
0
8
0
0
0
8
48
32
16
16
8
24
0
0
8
8
8
0
0
0
0
8
8
0
0
0
4
0
0
8
6
8
0
8
0
4
16
16
16
8
8
0
0
16
0
0
1
1
1
8
8
0
1
0
8
8
8
0
0
16
16
8
8
8
0
0
8
12
12
12
12
8
0
0
0
8
0
0
0
0
0
0
8
0
0
8
0
0
0
16
8
2
2
2
9
8
0
0
0
0
8
8
8
16
16
1
1
0
0
8
0
16
16
0
0
0
0
8
18
18
18
42
0
32
8
8
0
8
8
8
0
0
0
4
4
2
2
2
2
2
2
2
2
2
2
8
8
16
8
0
16
16
0
0
8
8
8
8
4
48
48
8
0
16
24
16
16
12
12
56
24
0
0
8
8
8
2
0
16
8
0
0
0
0
0
4
0
0
0
0
0
0
17
0
0
0
0
24
8
1
24
0
24
24
24
0
8
16
16
18
18
2
18
0
8
8
2
2
2
0
0
16
8
0
0
0
16
0
8
8
4
4
0
16
16
24
0
0
0
4
8
0
0
8
16
16
8
8
8
8
16
16
0
8
0
4
8
8
8
40
40
56
40
2
0
1
0
0
8
0
0
12
12
16
0
8
1
0
0
27
16
16
40
40
0
0
16
28
28
8
0
24
2
0
0
0
16
0
0
8
0
0
0
0
0
8
8
8
0
0
16
16
0
8
8
1
2
8
0
0
24
8
1
1
1
0
0
0
0
8
0
16
16
0
0
0
21
21
1
0
0
8
8
4
0
0
0
0
4
0
0
0
8
1
1
6
8
8
4
4
2
0
0
0
0
1
0
0
0
8
0
16
8
8
8
8
8
0
1
1
4
8
0
9
8
0
0
0
0
0
0
0
16
0
0
0
0
0
0
1
1
0
0
0
8
8
0
8
8
8
4
24
0
0
33
26
0
0
0
16
16
0
1
24
0
28
1
0
0
0
2
4
8
16
8
8
2
2
0
0
16
16
8
16
16
0
1
1
1
3
3
18
2
2
8
8
0
0
0
0
0
0
24
18
2
2
8
0
8
8
2
0
4
8
8
6
16
1
1
24
24
0
24
1
1
1
1
0
28
0
16
16
8
8
8
0
0
0
0
16
16
8
8
8
16
16
0
0
0
16
16
16
16
0
8
8
18
8
8
16
0
0
0
0
0
0
0
8
0
0
2
2
4
16
16
32
32
0
2
2
2
2
8
8
0
0
8
8
16
0
0
0
8
8
8
8
0
0
8
8
0
0
24
16
16
0
8
28
4
4
16
16
16
8
8
8
8
8
8
24
4
1
8
8
8
8
0
8
48
48
1
16
16
16
0
0
0
0
0
0
0
8
9
0
24
0
0
16
16
16
16
16
16
16
0
16
0
0
24
12
12
4
4
0
16
0
0
8
0
8
8
0
0
0
0
8
8
8
16
4
1
24
0
0
0
0
1
9
8
8
0
0
0
8
8
8
8
8
9
8
60
60
12
16
8
16
16
16
16
16
16
16
0
0
0
16
16
16
16
8
16
16
16
16
16
16
16
1
1
1
12
0
0
0
9
1
8
0
2
2
0
0
49
0
8
4
4
4
8
0
8
8
8
0
0
16
16
16
16
16
16
0
0
0
0
8
16
8
8
8
8
0
8
16
8
4
0
0
0
8
8
8
3
3
3
0
16
16
0
4
0
0
4
16
0
8
8
0
16
16
18
8
2
0
16
16
16
0
12
12
16
0
8
8
0
4
8
8
0
0
1
0
8
16
16
2
9
16
0
0
0
0
0
8
0
16
0
0
0
18
18
18
18
18
18
16
48
48
8
8
0
4
0
0
16
16
16
16
16
16
16
32
4
0
0
0
0
16
9
0
12
12
8
12
0
16
0
0
0
8
8
0
0
2
2
17
16
24
24
0
0
8
0
0
0
8
8
8
8
0
6
6
6
6
0
8
8
0
0
56
16
1
1
0
20
8
4
16
8
8
0
8
8
8
8
4
16
8
41
8
8
0
8
19
8
0
0
0
0
8
8
20
20
20
8
1
8
40
40
1
0
8
8
0
0
0
0
0
0
0
16
0
0
32
8
8
8
8
8
8
8
1
0
8
8
24
8
8
8
8
8
8
8
8
0
8
8
0
40
2
8
8
8
1
0
16
8
1
8
16
0
0
8
8
0
4
0
16
16
16
16
8
0
0
20
20
20
20
20
20
20
20
20
20
0
0
0
2
0
0
0
0
0
0
0
1
1
1
1
30
16
0
0
0
0
2
2
24
1
2
2
0
0
0
8
8
16
16
1
0
8
0
8
0
0
0
1
1
1
8
0
0
0
8
0
0
0
16
24
0
0
8
8
18
16
8
8
8
8
8
8
8
8
2
8
0
0
8
8
8
8
8
8
0
16
8
1
1
8
8
0
4
8
8
8
0
16
16
16
0
0
9
9
16
8
0
1
1
0
0
8
4
2
0
3
0
0
9
8
18
0
0
0
0
0
0
8
8
50
50
50
8
8
8
0
48
48
8
0
16
16
0
0
0
0
0
16
8
8
8
8
0
0
0
0
8
0
28
28
28
0
0
0
8
16
0
16
16
16
8
8
8
8
16
16
16
0
0
0
0
8
0
0
24
12
4
4
0
12
0
8
16
16
0
0
10
8
0
0
0
0
0
0
0
0
0
0
8
4
2
6
8
8
8
2
4
4
24
24
8
1
1
1
8
1
1
1
3
8
8
8
8
0
8
8
8
8
8
8
8
8
8
8
1
1
0
0
0
0
0
0
0
0
40
40
1
16
16
1
4
4
2
0
16
8
8
8
12
12
0
0
16
0
4
4
0
8
8
0
8
8
20
0
0
8
34
0
0
8
14
14
2
8
8
0
0
0
8
0
8
0
0
0
16
16
16
2
2
19
19
8
8
0
16
16
0
16
1
1
1
1
8
2
24
0
0
0
0
0
0
0
0
0
16
8
4
4
0
2
8
20
4
8
8
8
0
0
0
0
8
16
2
4
8
8
8
1
1
0
18
16
16
16
8
8
8
0
0
0
0
0
0
0
16
16
16
16
8
0
0
0
0
0
0
0
0
8
8
8
8
0
0
0
8
4
4
4
20
0
0
4
4
0
8
0
1
0
0
8
0
8
8
0
0
8
8
8
16
4
0
0
8
16
16
16
8
8
2
28
4
0
10
10
10
0
16
16
16
16
8
8
8
16
16
0
0
0
16
16
16
16
16
0
0
8
0
8
8
0
0
0
8
8
8
8
8
17
0
0
0
14
0
0
8
16
16
16
16
16
16
16
16
16
16
2
16
16
8
32
24
24
24
0
0
0
8
24
8
8
24
0
8
16
16
16
16
0
8
8
8
8
8
0
0
0
8
8
0
0
8
8
8
8
8
4
8
1
1
0
8
16
16
8
8
0
16
8
8
8
0
16
16
16
16
2
0
0
8
0
0
2
16
0
8
8
0
0
9
9
0
8
32
32
8
4
8
8
0
0
4
0
8
16
33
4
0
1
1
8
0
12
0
0
4
16
8
8
8
8
0
16
4
4
0
8
0
0
16
16
8
8
8
8
8
8
8
8
8
8
0
20
8
8
16
17
1
1
8
0
8
0
8
0
16
16
4
0
0
0
0
8
8
8
8
0
0
0
16
8
8
3
3
8
8
8
16
0
0
0
16
4
4
0
0
16
0
0
0
8
8
8
16
0
0
1
21
16
16
8
8
0
0
16
16
0
4
1
1
1
1
16
0
1
16
2
25
1
1
1
1
8
4
4
16
16
0
24
0
0
8
0
0
0
40
40
0
0
16
8
0
0
0
0
8
0
8
0
25
0
0
0
0
4
8
8
0
0
0
8
0
0
17
16
8
10
16
0
0
0
16
16
8
8
8
8
0
0
8
0
0
0
0
2
1
0
16
0
0
0
0
4
4
0
0
0
0
0
2
16
8
0
8
8
0
8
0
0
0
3
3
0
0
8
8
16
1
8
1
0
0
16
32
32
8
0
0
0
0
8
4
4
0
8
0
16
16
16
0
0
0
8
8
8
8
8
8
32
8
1
1
0
0
0
0
0
0
0
0
8
8
8
0
0
8
8
16
16
16
0
16
0
0
0
8
8
8
0
0
0
1
0
1
0
0
0
2
2
2
2
2
0
0
8
8
8
0
1
8
4
8
0
2
0
0
8
8
1
1
0
8
8
0
0
0
0
18
18
18
18
16
16
0
0
8
2
2
2
2
16
2
0
32
0
0
0
0
0
8
8
8
16
16
0
16
0
0
2
2
5
1
0
4
8
24
16
16
1
4
4
4
8
16
0
0
0
8
16
16
8
0
8
0
0
0
4
4
4
0
0
0
0
0
16
16
16
8
33
8
8
0
0
16
0
0
8
8
8
2
2
24
8
18
2
0
1
1
0
0
25
2
2
2
20
20
8
0
0
1
33
33
0
0
16
2
2
2
2
8
8
8
0
0
0
8
0
0
0
0
0
16
16
8
0
36
36
32
16
17
40
8
8
8
8
0
8
8
24
8
2
0
8
1
0
0
16
16
16
8
16
0
0
0
0
0
8
8
8
16
16
16
16
16
1
8
8
0
0
0
0
16
16
16
3
8
8
20
4
4
8
8
8
0
8
8
8
8
0
16
8
8
16
4
0
8
0
0
16
0
8
0
0
16
4
0
0
0
0
0
2
2
12
0
0
4
8
8
8
8
8
48
48
1
1
0
0
0
0
16
0
0
0
0
0
8
8
16
8
8
8
8
16
0
8
8
0
0
0
0
0
16
16
16
16
0
8
8
8
0
0
0
12
8
0
0
8
0
8
16
0
8
0
0
0
0
2
2
16
16
0
9
0
0
0
0
0
0
20
0
0
0
0
16
16
8
8
0
0
29
1
1
1
0
8
0
0
26
2
0
0
0
0
0
4
4
4
4
4
4
4
4
4
4
0
0
0
0
0
8
4
4
8
8
8
2
8
16
16
16
8
0
0
6
6
6
6
0
0
0
0
16
4
0
0
0
8
8
0
24
24
4
4
2
2
2
0
12
4
0
0
0
0
17
0
0
8
8
8
8
0
0
2
2
1
2
0
0
0
0
0
6
6
13
13
8
8
8
0
8
1
1
0
0
0
0
1
0
0
8
8
8
16
28
28
28
8
16
16
16
2
0
0
0
8
8
8
2
2
0
0
0
0
0
8
0
4
4
0
8
8
8
8
0
4
4
8
4
4
4
0
0
0
8
0
0
1
0
0
0
0
0
0
0
0
0
16
0
0
8
8
8
8
0
0
16
16
8
0
0
8
8
28
12
16
0
0
0
0
2
2
2
0
1
4
4
8
0
0
4
1
0
8
16
0
0
0
0
8
8
8
0
1
1
0
0
0
32
16
0
0
0
40
12
16
16
13
0
2
16
10
0
8
0
0
0
5
5
0
1
18
8
8
16
2
0
8
16
0
0
0
0
0
0
0
0
0
0
8
8
8
8
16
8
16
0
0
20
1
4
4
0
0
0
4
4
0
8
0
18
18
18
16
0
4
6
0
0
4
4
4
4
16
16
16
0
0
0
24
0
0
8
8
8
10
2
0
0
0
8
0
0
0
1
1
1
0
0
0
0
8
0
0
29
8
8
8
0
8
16
16
0
4
0
0
18
2
0
0
0
0
20
20
20
28
21
8
0
0
16
1
17
0
0
0
8
8
0
0
0
0
0
0
10
1
1
1
0
0
0
1
8
8
0
1
16
8
8
4
8
0
0
18
0
2
0
0
8
8
0
0
0
1
1
16
0
0
16
16
16
0
8
0
0
0
0
0
8
8
8
0
0
0
2
21
1
8
8
8
4
5
5
16
0
0
22
6
0
0
16
16
0
0
0
2
2
8
4
4
4
4
1
1
1
2
2
2
2
12
4
0
0
0
0
0
0
8
8
0
0
4
0
2
2
2
8
8
0
24
8
8
0
0
0
24
24
2
0
8
8
0
8
0
8
8
0
0
0
0
0
0
16
16
0
16
8
24
0
0
0
16
9
9
16
0
0
0
0
8
8
0
0
0
50
0
0
0
8
8
16
16
16
3
3
2
2
2
2
0
0
0
8
8
8
8
8
8
8
0
8
4
0
0
0
8
16
1
1
16
8
0
8
8
12
8
0
0
8
0
0
8
8
0
0
8
0
0
0
0
0
0
17
2
2
12
45
0
0
0
0
0
0
0
16
9
9
8
0
0
4
4
16
0
16
8
0
4
4
2
2
0
6
0
0
0
8
16
8
8
16
16
8
8
5
1
0
17
0
8
8
8
8
0
16
16
16
8
8
2
8
16
16
8
8
0
4
0
0
9
0
0
8
0
0
0
16
16
16
16
0
16
8
0
1
5
0
0
0
8
8
16
16
16
16
16
24
24
8
0
16
16
8
1
8
8
8
8
0
4
12
16
16
0
0
0
8
16
16
16
0
8
8
0
0
0
0
0
24
24
24
24
24
24
0
0
0
0
0
2
2
2
6
6
0
0
6
0
0
0
0
0
0
0
4
40
2
16
16
16
16
16
8
0
8
16
16
9
1
1
0
0
0
0
5
13
0
1
1
16
0
0
0
0
2
4
4
1
0
0
4
4
0
0
16
16
16
0
0
0
0
49
0
8
0
16
16
0
0
0
8
8
0
8
0
0
0
0
0
0
4
0
0
0
0
0
0
0
1
0
8
8
2
16
8
33
8
24
24
24
0
20
16
0
1
0
0
0
0
62
0
0
0
0
0
4
8
8
8
4
1
8
8
0
8
9
0
10
4
0
0
0
0
16
0
8
48
0
12
0
0
0
0
0
0
0
8
8
8
8
8
0
8
8
4
0
0
0
1
4
4
4
0
4
0
0
18
18
2
0
0
16
0
0
12
4
0
38
0
0
0
0
0
2
2
2
0
0
14
14
14
0
0
0
0
8
0
0
0
0
5
5
8
8
8
16
0
0
28
8
8
8
2
16
0
12
4
8
8
0
4
1
33
1
1
4
16
16
32
0
41
40
40
16
16
16
0
0
4
5
2
2
2
16
16
0
0
0
0
0
0
17
0
4
4
0
0
0
8
8
8
4
8
10
19
0
0
29
29
29
16
16
0
8
16
0
0
16
16
8
8
0
0
12
16
0
16
16
20
4
0
32
32
0
16
0
16
4
0
16
16
16
8
0
16
0
32
32
0
8
8
8
16
16
0
8
0
0
0
24
8
4
16
16
38
4
4
24
24
8
8
0
0
0
0
0
0
0
4
0
8
8
48
0
0
8
0
16
16
40
57
8
2
2
2
0
0
4
2
2
0
0
4
16
0
32
32
4
4
1
0
0
1
1
0
2
2
8
8
0
8
8
0
8
0
16
32
0
32
32
32
0
0
0
0
0
0
0
16
33
33
22
16
8
8
16
0
4
4
1
0
0
18
18
32
32
8
16
16
16
0
0
6
20
0
0
0
0
0
0
0
0
17
16
16
18
0
0
8
8
2
16
8
0
8
16
16
0
0
0
8
0
0
8
8
24
24
8
0
0
4
28
0
8
16
0
0
8
0
0
0
8
8
1
1
20
20
0
8
8
0
0
40
40
0
0
16
8
0
8
0
0
0
0
16
16
0
2
2
2
0
16
16
0
8
0
16
10
0
0
0
0
0
0
16
16
8
0
12
4
4
2
0
10
10
0
0
0
0
8
2
16
16
1
3
0
0
8
32
18
0
0
0
0
0
8
16
16
16
8
8
16
16
16
4
8
8
6
6
6
16
12
12
0
0
8
8
0
0
0
0
8
8
0
18
16
16
0
0
8
8
13
16
2
0
0
8
16
8
8
0
0
0
0
0
0
0
0
16
0
0
0
0
1
17
0
16
16
16
1
1
1
0
0
4
8
4
8
0
40
0
8
16
16
16
0
4
12
12
0
4
0
0
0
0
0
0
0
8
0
0
0
0
0
32
0
0
16
24
0
0
0
0
1
4
4
0
9
9
9
9
40
8
0
0
0
0
4
4
0
24
24
2
2
2
2
2
2
2
2
2
2
2
1
0
1
24
8
8
4
0
0
0
8
0
0
0
16
16
4
0
0
8
0
16
8
59
59
59
8
16
16
16
16
0
1
1
0
0
0
0
32
32
0
8
2
0
0
0
0
2
0
0
0
0
0
0
8
8
8
8
0
0
1
1
8
0
4
2
2
0
4
0
0
0
16
8
8
1
1
1
1
8
0
0
0
0
0
0
8
0
16
24
0
0
16
16
16
8
8
8
8
8
8
8
0
0
2
2
0
8
0
8
0
0
8
16
16
8
8
18
0
0
0
0
1
0
0
0
4
8
0
8
16
16
0
0
9
4
2
2
2
0
12
8
8
0
4
8
8
0
16
0
1
5
24
4
0
3
16
0
0
16
16
16
16
0
8
9
8
8
8
0
8
0
2
1
1
40
0
0
0
0
1
0
0
1
16
8
9
16
0
0
0
0
8
8
0
56
8
8
25
8
0
1
2
48
0
0
0
8
0
8
0
9
0
4
4
0
10
16
0
0
0
11
0
38
38
0
0
0
0
16
2
40
40
8
0
0
16
8
0
2
2
2
2
2
2
0
0
8
0
16
16
0
1
8
8
8
0
24
4
16
0
0
24
24
10
0
0
4
4
8
8
8
2
0
0
0
1
16
8
4
1
0
0
0
0
20
0
0
0
0
0
0
8
8
8
24
0
0
0
0
0
0
0
0
16
2
0
0
16
16
0
2
0
0
2
0
0
0
4
4
0
8
8
1
1
1
1
8
0
16
16
1
1
8
8
0
0
0
0
16
6
6
6
0
48
48
48
1
1
4
4
0
8
0
0
8
0
8
8
8
4
2
0
0
0
16
16
16
0
4
8
8
8
8
8
0
1
4
0
2
0
24
2
0
0
0
8
8
8
0
8
8
0
8
8
0
40
50
0
0
8
8
4
4
4
4
8
0
0
0
0
0
8
8
8
0
0
0
1
4
4
0
0
0
0
1
16
0
16
2
0
2
2
8
8
8
0
0
0
0
24
24
24
8
8
8
8
0
0
0
8
0
0
0
0
0
0
0
0
8
4
4
4
0
0
0
16
16
0
8
8
8
32
0
0
8
0
0
0
0
0
0
0
24
0
8
8
8
0
0
0
0
0
0
0
24
2
0
24
4
0
0
0
0
8
16
16
8
0
0
0
0
9
4
20
0
0
0
8
8
16
0
0
16
8
8
8
8
2
0
1
1
1
2
0
0
0
0
8
8
0
8
0
0
0
0
0
2
2
0
0
9
0
16
16
0
0
16
0
0
4
0
0
0
16
0
8
0
0
0
16
0
0
0
24
16
8
0
1
16
0
0
8
8
0
2
2
0
16
2
0
4
36
36
36
40
40
4
0
32
32
4
4
0
0
0
0
16
4
0
26
26
8
8
8
8
0
0
24
0
0
8
0
4
0
0
8
1
2
16
16
16
24
0
0
16
0
8
8
0
0
0
0
0
16
16
16
0
40
0
16
2
0
2
0
16
16
16
16
8
8
0
2
2
6
0
0
0
8
8
16
16
16
16
16
24
32
0
7
32
32
8
8
8
0
0
0
0
16
0
0
8
2
2
0
16
4
24
24
8
0
11
0
2
2
0
8
0
8
16
16
0
16
16
16
0
0
4
16
12
8
0
0
1
4
0
16
24
20
12
12
8
16
0
0
0
8
8
0
0
16
16
16
0
0
8
0
0
0
0
0
8
8
8
0
1
1
1
0
8
0
0
0
2
8
0
0
0
0
2
2
16
16
1
1
0
0
0
0
0
16
0
0
0
0
17
17
17
0
17
8
0
0
16
16
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
9
8
8
0
8
0
20
22
4
8
2
0
4
8
0
0
0
0
0
0
0
0
0
32
0
0
16
16
16
16
0
0
0
0
0
8
8
0
0
0
3
0
8
0
30
0
32
4
8
8
8
8
20
20
0
4
1
0
0
0
2
1
8
8
8
8
8
8
0
0
0
16
16
16
16
0
0
24
3
3
0
0
8
0
16
20
8
8
8
24
8
8
8
8
8
8
8
9
0
0
0
0
2
8
8
8
8
0
0
0
0
16
2
2
2
0
0
0
0
1
4
4
4
12
12
0
4
0
8
0
0
1
1
0
1
1
0
0
16
8
0
0
0
0
0
0
0
16
16
8
0
0
16
0
0
0
16
16
0
16
16
1
1
8
0
0
0
0
0
16
0
4
4
4
4
0
8
8
0
24
24
2
0
32
8
8
0
0
0
8
8
3
2
0
0
0
6
0
0
16
8
2
0
0
8
0
0
0
8
8
16
8
0
0
8
16
8
8
8
8
8
4
4
12
12
16
4
0
8
0
8
0
0
0
17
0
8
8
2
0
1
0
0
0
0
0
16
0
8
0
0
0
0
0
0
8
8
0
0
0
0
4
0
0
0
0
24
24
0
8
8
0
20
0
4
7
0
3
16
2
16
8
1
8
8
8
0
16
16
16
1
1
10
10
10
1
1
24
8
8
8
8
11
11
36
0
2
2
2
4
0
0
16
0
0
0
0
8
8
8
0
8
0
16
16
10
16
16
3
0
16
4
4
4
0
8
0
0
8
0
0
1
0
16
16
0
0
4
12
4
8
9
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
4
2
2
2
0
16
0
8
21
16
16
20
20
20
0
1
0
8
8
32
0
0
0
8
8
16
17
0
0
0
2
0
16
0
0
0
2
2
8
20
16
16
0
0
0
2
2
2
2
0
8
8
8
8
5
0
0
0
16
50
8
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
2
9
0
8
8
18
0
0
0
0
1
8
4
0
20
8
24
0
0
0
0
8
0
0
8
2
16
8
8
0
2
2
0
0
0
4
0
0
0
0
0
0
1
1
16
16
4
4
0
32
32
8
8
4
16
0
0
0
0
0
0
8
8
0
4
0
0
0
0
0
8
4
12
8
16
0
0
0
4
5
5
8
8
8
8
0
0
0
8
8
8
8
8
4
8
32
32
32
0
16
16
12
8
8
0
0
0
8
8
8
8
8
0
0
0
0
0
0
8
8
8
41
47
8
8
40
0
0
12
4
4
4
0
0
20
8
0
0
1
1
6
6
24
0
8
8
0
16
8
8
8
0
0
4
0
8
8
0
0
0
0
0
8
8
8
1
0
2
5
4
5
4
0
16
0
0
0
6
4
0
0
24
0
28
28
4
0
0
0
0
1
0
22
0
8
8
8
0
0
32
8
16
16
24
16
8
8
24
4
4
2
0
0
0
0
16
20
0
32
0
4
4
0
0
0
0
0
16
1
0
0
4
8
0
0
8
16
24
8
8
0
1
8
8
16
16
16
1
1
0
16
16
0
8
0
2
20
12
12
0
0
1
8
0
1
8
8
16
16
16
1
16
1
2
8
8
2
2
8
8
0
8
8
1
1
1
4
1
0
0
0
0
0
34
34
8
16
0
0
0
0
4
4
16
0
4
50
1
1
1
4
4
4
16
16
0
0
0
0
8
8
8
0
16
4
8
8
0
0
8
8
16
16
16
16
16
0
0
8
8
0
0
4
8
8
8
20
4
0
8
8
0
16
0
0
0
0
8
4
16
0
0
0
0
0
22
0
0
0
2
0
0
0
25
25
12
16
0
0
4
0
0
0
0
1
0
0
0
0
16
0
32
0
0
2
0
0
0
16
2
0
19
0
8
0
8
8
0
0
0
0
0
0
0
8
3
0
4
4
4
20
16
8
4
4
0
8
8
1
0
0
0
8
24
8
16
16
0
0
8
0
0
8
8
16
16
0
0
8
8
8
20
0
0
1
1
1
2
2
16
1
0
48
48
0
20
0
8
27
27
8
0
0
0
0
0
8
0
0
32
8
8
8
0
8
8
0
0
0
8
0
60
12
0
0
16
0
0
24
8
8
8
0
4
16
16
16
1
8
8
0
0
1
0
8
8
1
17
17
1
1
0
0
0
0
0
0
0
0
0
16
16
16
0
0
0
16
0
0
0
0
0
0
0
0
4
4
16
0
8
8
8
8
8
8
18
0
0
0
0
8
4
8
8
8
0
0
0
0
0
0
8
8
0
16
8
16
16
16
0
16
16
8
22
22
8
16
16
0
1
0
48
0
18
8
0
0
0
8
16
16
0
0
0
0
16
0
0
8
8
0
16
8
8
8
2
2
1
48
0
0
0
32
0
0
0
16
0
0
0
0
0
0
12
0
0
3
4
0
26
26
8
0
0
8
0
0
24
16
0
0
8
16
0
0
0
0
16
16
0
8
8
2
16
0
0
0
8
0
0
16
8
32
16
8
8
0
32
4
8
0
0
0
0
8
0
0
0
0
16
8
8
0
0
0
1
1
16
16
16
16
16
0
0
0
0
16
8
1
8
8
8
8
8
8
33
2
8
0
0
0
1
26
20
16
16
4
4
32
34
18
18
8
1
0
0
0
2
0
0
1
2
8
0
0
8
8
16
0
0
0
8
0
0
2
16
21
2
8
16
16
18
0
9
24
24
8
9
0
2
2
4
4
0
8
1
8
0
0
8
8
8
8
18
8
8
16
0
0
0
0
0
4
2
16
8
8
8
8
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
48
0
8
24
0
0
0
0
0
0
48
0
1
1
16
12
4
8
0
0
0
0
16
8
0
0
0
0
0
4
0
0
16
0
8
8
0
8
4
4
0
0
0
8
8
8
0
17
0
8
0
0
16
16
1
0
0
16
16
0
0
8
8
0
0
8
0
0
0
1
1
0
16
0
0
4
8
1
0
4
4
0
0
0
0
16
16
16
0
0
16
16
16
0
0
24
8
8
8
8
0
0
4
8
8
2
0
16
0
0
1
1
0
0
8
8
0
0
0
0
8
42
4
4
4
0
8
0
0
0
0
8
4
4
0
0
0
0
0
8
0
0
0
20
0
1
0
1
4
25
0
8
0
4
6
8
0
0
0
16
8
1
2
2
0
0
0
16
4
16
0
0
24
24
0
0
8
0
16
2
0
0
1
0
4
0
0
0
0
8
8
4
8
8
0
0
1
1
0
0
32
0
0
8
8
0
0
0
0
0
1
0
0
0
18
8
8
8
4
0
16
16
30
16
22
8
8
8
8
8
0
2
8
8
8
0
16
16
48
48
48
0
24
24
24
0
24
24
0
8
0
0
0
0
23
2
0
0
0
8
8
0
0
2
2
2
1
2
1
8
16
8
8
8
8
8
8
8
0
0
0
8
0
0
0
41
0
0
0
8
0
2
0
0
0
25
25
16
10
10
8
8
0
0
0
0
0
0
0
8
8
8
8
8
8
0
0
16
0
0
16
16
24
16
0
0
0
0
0
0
0
0
0
0
8
21
21
0
4
4
4
0
16
8
8
8
4
4
4
0
0
4
2
48
4
4
8
8
8
0
4
0
20
0
4
16
16
16
0
0
0
0
0
32
32
20
0
0
20
0
0
0
0
1
0
6
0
0
1
0
0
8
4
0
8
8
8
0
32
16
8
8
24
0
8
0
1
8
0
2
4
4
8
0
0
0
0
0
0
0
0
17
4
0
0
16
16
16
0
16
8
16
16
8
0
0
0
0
0
25
0
0
0
0
0
18
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
8
8
0
0
0
0
8
0
0
0
0
0
16
16
16
16
16
0
0
0
0
0
0
0
8
8
0
0
0
0
8
8
8
0
1
20
0
0
8
0
0
0
10
0
0
16
8
0
0
0
8
8
8
8
8
0
16
16
1
0
0
8
8
20
0
16
16
0
8
0
0
8
8
0
0
0
0
0
1
4
4
8
0
0
0
0
0
0
0
8
16
8
0
0
0
0
1
0
0
0
8
8
0
0
8
8
0
0
24
20
16
16
17
0
0
3
24
24
24
24
0
0
0
11
11
8
0
0
8
32
32
32
0
32
32
0
0
0
0
16
0
0
0
0
4
2
16
16
4
4
4
0
0
2
8
8
8
0
0
8
0
0
17
17
0
0
0
0
4
4
24
16
16
0
0
0
0
2
8
8
0
10
0
0
24
8
1
1
31
27
0
8
8
0
0
12
20
20
8
0
2
2
2
22
0
16
0
0
0
0
0
0
0
1
0
0
0
2
8
0
0
0
0
0
0
0
0
4
16
16
16
16
16
0
24
0
16
20
4
4
0
0
0
0
8
8
4
0
0
0
0
0
8
0
0
0
16
16
4
0
0
0
32
32
32
8
8
8
8
1
1
2
2
0
8
0
0
4
0
0
0
0
0
8
0
2
16
16
1
1
21
8
8
18
0
16
8
0
0
0
0
16
16
0
0
0
40
21
17
0
4
0
4
4
16
2
8
0
0
0
0
8
8
8
8
16
0
0
0
0
0
0
0
0
8
8
8
0
16
16
0
0
0
1
1
8
0
0
0
0
16
16
0
8
8
32
0
16
8
0
2
8
8
0
0
0
8
0
1
8
8
1
0
12
12
12
0
16
16
0
2
0
8
16
16
0
0
0
16
16
8
0
8
4
0
0
12
16
1
1
0
0
8
0
8
0
0
0
0
0
8
0
0
16
0
0
1
0
12
12
8
8
16
16
0
0
16
2
0
20
0
8
8
16
0
16
26
18
18
16
10
10
16
16
16
8
0
20
0
0
4
0
0
8
8
0
8
0
0
16
16
1
1
16
0
0
20
4
0
4
4
4
4
4
0
0
1
2
0
16
16
5
4
0
12
12
12
2
0
0
8
16
0
0
0
0
0
24
24
24
8
8
16
1
1
0
0
0
0
12
8
8
8
4
0
0
0
2
0
10
0
1
0
0
0
8
10
0
0
0
8
8
8
8
8
0
4
8
8
8
0
1
9
9
25
0
0
0
0
0
0
0
0
16
1
4
1
5
0
0
0
0
0
4
4
4
16
16
16
0
0
24
0
17
0
0
5
5
5
16
16
16
0
0
16
8
8
8
12
0
0
0
24
16
16
0
0
0
0
0
0
0
0
4
0
16
16
0
0
0
0
8
16
0
0
0
1
1
8
8
8
8
16
16
0
8
8
0
0
8
8
8
0
0
16
24
8
0
0
16
0
0
0
19
8
16
16
16
0
20
4
4
2
2
1
0
0
8
8
8
9
0
0
0
8
8
8
8
0
0
0
0
24
24
24
1
9
0
4
0
32
0
1
11
11
1
9
8
0
0
0
0
0
16
0
8
8
8
14
14
0
8
0
0
8
8
0
0
0
8
8
8
8
0
0
0
16
16
4
4
4
52
0
16
16
0
0
0
0
0
0
0
4
0
0
0
0
0
1
8
0
0
0
28
0
2
34
33
26
2
2
2
0
8
8
0
8
8
5
5
8
8
0
0
0
0
0
8
0
0
0
0
1
0
1
0
24
0
42
42
4
0
4
4
0
16
16
16
16
0
16
0
3
3
3
3
4
8
12
12
2
0
0
4
8
20
0
12
0
0
8
16
8
0
0
16
0
0
8
8
8
20
8
8
8
16
8
0
0
29
0
16
16
2
0
0
8
8
6
6
16
16
4
0
0
20
0
8
19
19
19
19
0
19
19
32
16
0
0
0
0
0
0
0
0
8
0
0
0
12
0
0
0
8
8
0
1
0
0
1
1
0
17
16
16
16
16
16
16
16
16
0
0
0
8
0
8
4
4
0
24
24
24
24
16
16
0
8
8
13
8
4
0
0
0
4
16
8
8
8
8
8
2
8
8
24
16
16
16
16
16
16
16
6
32
9
10
2
2
2
0
0
0
0
0
32
0
8
26
0
8
16
0
0
0
16
16
0
16
16
8
4
4
4
4
4
0
4
0
4
4
0
0
0
1
1
0
1
8
14
0
16
16
8
8
8
8
1
1
1
1
0
0
0
0
0
0
0
0
2
6
0
8
8
8
1
16
16
16
16
8
0
16
8
8
8
8
8
8
18
18
2
2
2
4
0
0
8
8
0
16
9
9
8
0
0
16
16
2
2
16
0
24
0
16
16
16
16
0
0
8
3
3
16
9
9
16
16
16
0
4
0
0
0
0
16
16
16
16
16
0
0
8
8
8
4
8
8
8
28
8
8
28
8
8
0
8
8
8
1
1
0
0
4
0
2
2
0
16
16
16
0
0
2
0
0
0
4
0
0
8
0
8
8
0
1
0
0
16
8
0
8
4
0
24
3
16
4
0
0
16
0
0
0
0
0
0
0
0
8
8
0
0
0
8
0
16
0
16
16
16
0
0
8
8
8
8
16
8
8
8
0
0
0
0
8
0
0
16
16
8
1
8
0
1
8
8
8
16
2
0
0
12
0
0
9
9
9
8
8
8
8
0
0
8
10
2
17
4
0
0
0
0
0
0
0
0
8
8
1
12
1
1
0
0
0
8
8
0
0
0
16
16
16
16
8
8
0
24
17
2
2
2
2
0
0
8
8
16
0
0
0
0
32
32
16
0
0
8
8
22
20
20
2
0
0
0
0
16
16
0
0
16
16
16
16
49
16
0
8
0
0
0
8
8
8
8
16
16
16
1
1
1
24
8
0
16
16
16
8
8
8
8
0
28
0
16
16
16
16
0
8
8
8
8
8
0
0
0
8
8
4
4
8
17
8
8
8
4
6
2
6
1
1
18
22
8
8
8
8
8
8
58
0
0
0
0
0
0
20
4
0
0
0
0
8
8
8
0
0
2
8
20
4
8
12
4
22
22
0
8
8
8
16
16
16
0
0
16
0
8
1
0
32
32
32
4
4
4
1
1
8
8
8
16
8
0
8
0
2
2
0
24
24
0
8
8
16
0
8
8
8
8
8
8
0
0
24
16
8
8
0
8
8
16
8
8
0
0
8
0
16
16
16
8
16
17
16
2
0
0
0
0
8
1
1
2
8
4
0
0
0
8
32
32
1
1
4
4
0
4
4
4
0
0
8
16
16
16
0
0
0
0
8
8
12
0
0
2
16
16
0
0
8
8
3
0
8
8
20
0
0
6
6
6
4
4
8
8
8
8
0
0
0
8
8
24
8
8
16
16
16
8
8
16
0
16
16
8
4
0
24
4
4
0
0
4
8
8
8
8
0
0
0
4
0
0
0
0
4
0
0
8
0
8
0
0
0
4
4
16
48
14
62
17
17
4
16
0
2
2
1
1
42
4
8
0
0
4
4
10
4
0
0
4
8
8
8
8
8
0
0
4
8
8
0
8
16
0
0
0
0
3
4
16
16
16
8
8
0
0
0
8
8
8
0
0
0
0
8
12
12
16
16
8
8
8
0
0
4
16
20
0
0
4
1
1
8
8
0
0
1
0
8
8
8
8
8
0
8
8
0
0
0
2
2
3
0
0
0
2
2
24
1
19
17
17
16
2
2
2
2
8
8
0
8
8
1
16
16
16
6
0
16
6
1
49
16
16
0
4
0
0
0
28
20
8
8
8
16
16
2
2
2
8
8
8
0
0
2
0
18
18
8
8
16
0
0
0
0
0
0
8
0
16
8
8
8
0
0
24
24
24
6
8
1
8
0
0
2
0
0
4
4
0
1
8
4
0
8
8
0
8
2
1
2
24
8
8
8
8
0
32
4
4
18
18
16
16
0
16
36
36
36
0
4
2
0
0
24
2
10
0
21
21
8
0
8
9
0
0
0
24
24
8
8
8
8
8
8
8
0
4
0
0
0
0
32
32
16
8
8
16
16
16
16
16
16
8
12
0
8
8
0
36
36
36
4
4
4
8
8
0
8
8
8
8
8
0
4
4
16
16
8
8
8
16
0
8
8
40
8
8
8
2
2
2
2
2
2
8
8
8
8
0
24
16
0
8
0
0
0
0
8
8
8
0
2
10
0
0
0
8
8
8
8
8
8
8
8
9
8
0
4
4
0
8
8
2
2
2
16
24
0
8
8
0
8
8
0
22
24
8
0
0
4
4
4
0
16
0
0
0
0
0
8
32
13
0
0
0
0
0
0
16
16
16
16
0
2
2
8
8
0
16
16
8
8
8
1
16
0
24
24
4
0
0
0
0
4
0
0
0
8
4
0
0
16
16
24
8
36
17
17
0
0
19
8
8
13
16
8
8
8
8
8
0
0
8
8
0
16
16
16
16
16
16
16
16
16
8
8
16
0
0
0
24
16
16
16
16
16
8
0
0
0
1
24
8
13
13
8
8
0
1
1
1
8
16
16
16
0
0
16
16
8
8
0
0
8
0
0
0
40
8
8
0
0
0
0
24
8
0
4
4
4
4
4
4
4
4
4
4
4
4
4
8
8
4
2
2
1
4
16
0
9
8
8
8
8
0
0
0
18
4
4
0
4
16
16
0
2
0
0
32
24
0
0
8
8
8
2
2
2
0
20
8
0
8
8
16
16
0
0
16
16
0
0
32
36
0
0
1
2
4
4
4
16
20
0
0
0
0
0
0
0
8
8
8
0
3
1
0
16
1
1
1
16
0
16
8
8
32
16
0
0
0
0
0
0
0
0
0
24
17
17
16
16
16
16
16
16
24
24
24
1
1
1
1
1
24
0
0
1
1
16
16
16
8
0
24
24
24
17
16
16
8
0
0
0
0
0
16
16
28
8
0
2
0
0
0
8
0
0
8
0
8
0
0
0
24
0
0
0
8
8
16
0
8
0
0
0
0
0
0
0
0
8
8
24
0
16
12
2
0
0
8
8
8
0
0
1
16
26
26
26
16
12
12
12
12
24
16
0
0
24
8
8
0
8
16
24
8
8
16
8
0
0
0
16
8
8
16
1
8
8
8
8
8
8
8
8
18
18
18
8
8
8
44
44
0
0
8
8
1
0
0
8
8
8
8
8
8
0
4
4
4
4
4
0
8
8
8
0
0
0
0
0
4
0
0
0
32
8
8
8
8
16
16
0
24
24
8
8
8
2
0
0
5
16
16
16
16
16
16
0
0
0
8
8
4
0
8
8
8
8
8
0
8
8
8
16
16
16
16
0
0
1
1
0
0
0
8
8
8
8
8
16
16
4
0
0
8
8
16
16
16
8
0
1
1
1
0
8
2
2
8
8
0
0
0
0
0
0
8
8
16
25
16
2
2
8
12
8
0
16
8
0
4
24
8
0
2
2
0
8
6
6
0
0
8
0
0
18
18
8
8
16
8
8
8
4
4
4
8
8
8
1
16
0
0
8
16
4
8
0
0
9
28
16
8
8
16
16
16
1
8
8
8
8
10
1
4
4
4
4
0
0
8
8
4
4
16
16
16
0
16
0
8
8
4
48
48
48
17
24
8
16
16
16
0
8
4
8
0
8
0
40
8
8
17
17
8
8
8
8
0
16
0
0
0
1
16
16
16
4
4
1
8
4
16
8
4
16
0
56
8
0
40
40
4
4
4
0
0
0
32
32
16
0
0
8
8
24
6
0
8
0
0
0
0
0
48
0
0
16
16
24
8
16
16
1
1
8
8
8
0
0
0
0
16
8
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
2
0
1
16
16
8
8
0
8
4
8
8
8
8
0
0
2
16
4
4
4
4
32
16
0
16
16
1
1
1
16
16
16
0
1
1
1
8
16
0
8
8
16
0
1
0
0
4
4
4
4
4
0
0
8
0
0
8
8
8
8
1
0
0
0
0
16
16
16
16
0
8
8
8
10
8
8
0
0
2
37
37
0
0
0
0
0
0
16
16
0
5
5
0
8
0
16
16
16
16
2
0
0
16
0
8
8
8
8
4
4
4
8
8
8
8
8
8
52
52
52
52
0
2
2
8
8
0
0
0
8
0
0
0
0
32
32
32
0
16
0
8
0
0
16
16
16
0
0
0
0
16
16
16
16
1
1
18
0
0
0
0
20
20
4
4
0
8
8
4
5
5
1
8
8
7
2
0
4
4
1
8
8
8
1
10
10
4
4
4
0
4
4
4
4
0
0
1
0
4
0
0
0
0
0
0
16
22
0
0
0
16
3
1
1
0
0
4
4
16
0
0
0
0
0
10
0
0
0
8
16
1
8
8
8
0
0
2
2
2
24
24
1
1
8
8
8
32
0
8
8
8
8
0
0
0
0
1
2
8
8
16
8
1
8
8
8
0
0
0
0
0
0
0
16
16
8
8
28
0
24
24
0
0
0
0
0
0
0
4
4
8
8
8
1
1
1
0
0
8
8
8
8
8
1
0
0
4
8
8
8
8
8
8
8
0
16
16
16
22
16
24
0
0
4
0
8
8
0
16
16
24
0
0
4
4
4
4
0
1
4
4
25
32
8
8
8
0
8
8
8
8
0
8
8
4
6
6
16
16
16
0
1
0
16
16
17
32
8
0
8
8
0
0
0
8
8
16
16
24
16
8
8
8
24
16
8
0
8
8
2
2
16
16
16
8
2
22
22
0
10
0
0
0
16
0
0
0
0
0
1
1
0
0
0
4
8
4
4
0
0
0
0
2
18
0
8
8
8
0
0
8
8
8
1
1
1
12
6
6
4
8
1
4
4
0
30
16
16
2
2
8
8
8
0
16
0
2
0
8
0
0
0
8
16
16
16
16
8
8
16
8
8
16
16
8
4
4
26
0
0
0
16
16
16
2
16
8
0
0
8
8
0
8
8
0
0
0
0
16
1
9
0
8
24
16
0
8
8
2
2
16
16
16
16
0
16
16
8
4
8
8
0
24
24
1
1
0
8
8
8
1
1
16
16
16
4
4
4
32
0
16
8
8
8
0
0
0
8
8
0
8
16
4
8
0
6
0
0
0
0
0
8
8
8
0
0
8
8
8
8
16
1
1
24
8
8
1
8
16
4
8
8
0
4
0
0
0
0
8
2
0
0
8
16
8
1
4
8
8
8
8
37
8
24
0
0
0
0
0
1
1
16
8
8
4
0
0
0
8
28
8
1
24
8
0
0
0
0
0
2
18
4
0
0
0
0
16
16
8
8
0
0
0
0
4
8
2
8
8
8
8
8
8
0
0
8
0
0
0
0
0
28
4
4
8
16
4
4
0
8
0
0
8
8
8
8
4
0
0
16
0
0
2
0
0
32
24
24
0
0
0
0
0
8
12
12
12
8
1
24
8
3
0
0
0
0
8
8
8
8
8
8
8
8
8
8
0
0
0
0
16
2
2
2
2
0
4
4
4
4
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
16
9
1
12
12
0
4
4
16
8
8
8
8
8
8
1
1
1
1
1
1
1
1
1
1
1
1
0
6
6
16
0
0
0
0
0
0
8
16
2
1
1
1
1
1
1
9
12
0
32
16
0
8
8
8
8
8
8
8
8
0
1
1
24
0
0
20
16
16
19
3
3
3
8
8
8
0
0
0
1
0
0
0
16
50
4
4
0
8
8
0
0
12
8
8
8
0
8
0
0
8
0
4
4
4
4
8
8
0
2
16
0
4
4
4
2
24
24
0
18
2
1
8
1
16
8
0
0
24
24
16
8
8
0
1
1
1
1
1
8
0
8
0
20
20
4
0
8
8
1
1
0
0
0
0
0
0
8
8
0
1
4
8
8
4
0
8
8
8
52
0
0
8
8
8
8
8
8
8
16
8
8
8
8
0
8
8
36
10
10
10
0
1
24
24
16
0
16
4
0
2
2
2
0
4
0
8
8
8
0
0
0
16
8
8
8
8
0
16
24
8
8
8
8
8
4
16
16
8
8
16
16
0
16
16
16
16
9
24
16
0
16
0
26
28
28
8
8
16
9
0
16
4
16
1
1
1
1
16
16
16
16
16
16
16
16
16
16
0
8
8
0
0
0
1
0
8
1
1
24
4
4
4
0
0
8
32
1
1
2
2
0
0
0
0
0
12
0
16
0
1
0
0
8
0
16
0
4
16
16
0
4
0
0
16
16
22
22
1
1
9
0
0
8
24
0
0
0
0
16
4
4
4
8
16
16
0
20
0
0
0
8
4
0
0
0
0
0
0
1
40
0
0
0
8
8
8
16
2
27
16
6
24
0
0
8
8
8
0
12
12
12
0
0
0
0
16
0
8
8
39
39
39
0
8
16
0
0
0
0
4
0
8
16
16
0
1
0
8
8
24
6
6
0
0
8
12
12
8
8
8
8
0
4
4
4
16
56
8
0
0
9
0
1
1
1
0
0
0
8
32
9
0
16
0
8
8
8
8
8
0
0
0
16
16
8
0
0
7
1
0
0
28
4
0
0
0
0
0
0
0
24
0
0
16
24
32
8
8
12
0
0
0
4
4
6
8
8
0
8
8
8
8
1
1
1
1
1
1
1
8
8
0
0
0
1
8
8
24
0
0
0
1
1
8
8
8
8
8
0
0
8
8
0
2
2
2
16
16
0
0
8
8
8
8
8
8
8
2
2
8
8
2
2
8
1
0
8
16
16
0
1
1
8
8
8
8
4
0
0
0
8
8
0
0
0
0
16
16
16
16
16
0
0
8
16
16
4
0
24
8
8
0
8
8
0
0
16
0
0
0
24
0
21
4
40
0
16
4
0
0
9
9
0
0
4
4
0
24
24
10
0
0
0
0
0
1
2
32
32
32
8
8
8
2
2
0
0
0
0
0
1
8
0
8
8
0
4
4
0
0
0
16
24
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
4
8
9
24
16
8
1
0
4
4
28
12
8
8
1
1
1
8
8
2
1
4
0
0
0
0
4
0
0
8
16
0
32
49
8
0
8
8
4
8
0
8
0
0
8
8
8
48
4
4
4
4
20
16
8
8
16
16
0
24
0
0
0
0
8
0
0
2
2
0
0
0
32
4
8
16
16
16
16
16
0
0
8
8
8
0
8
32
0
2
28
28
24
24
8
0
0
1
1
1
1
1
16
0
0
0
9
9
9
8
24
24
24
8
16
1
1
1
12
4
4
0
0
8
8
8
8
8
8
8
8
8
9
8
8
8
8
8
8
16
4
0
0
16
0
8
8
8
24
8
0
8
16
16
8
0
0
8
8
8
8
0
1
8
4
0
18
18
18
18
18
18
18
18
32
32
32
3
27
19
19
19
0
0
0
8
8
1
1
32
32
32
16
0
0
0
0
8
8
8
24
16
16
16
16
16
1
1
1
1
8
0
0
8
1
1
8
0
0
0
50
50
1
0
16
54
62
8
8
8
8
8
8
0
39
2
2
16
16
16
16
8
16
32
32
8
1
8
0
0
16
16
16
16
16
16
16
16
2
20
0
0
8
8
2
2
10
10
36
4
4
0
0
14
0
0
16
16
0
0
0
16
16
16
16
0
0
1
1
8
8
8
0
0
0
19
32
32
0
8
8
0
0
8
36
0
16
0
16
16
0
0
0
0
0
0
0
0
16
16
4
4
16
0
0
8
8
0
12
8
8
8
20
20
20
8
1
8
16
8
8
8
8
0
8
0
0
0
0
0
0
0
0
0
0
0
24
0
0
8
8
8
8
4
8
4
0
0
0
0
20
12
16
0
0
8
16
0
0
16
16
8
8
1
1
0
1
1
0
8
24
8
0
0
0
8
18
18
0
8
0
4
0
0
17
8
0
16
16
0
0
0
0
12
1
0
0
4
0
1
0
0
8
16
8
8
8
8
8
8
20
5
0
0
0
8
8
4
4
8
0
0
0
20
20
20
0
0
0
0
0
0
0
0
0
8
4
0
8
8
0
16
16
0
0
4
4
6
6
0
0
26
16
2
0
0
0
0
8
0
1
1
8
2
0
0
24
24
8
8
0
0
0
16
8
1
16
16
8
8
8
8
8
16
16
16
16
17
2
16
8
8
8
8
8
0
2
0
0
0
0
0
8
8
8
8
8
8
0
0
4
20
0
0
0
3
3
0
0
0
2
0
0
0
10
4
8
61
16
16
0
24
8
0
16
16
4
4
4
4
8
16
16
0
8
0
0
0
8
8
0
6
6
16
0
0
16
16
16
16
16
8
8
8
8
17
0
0
0
8
8
0
40
32
0
0
2
0
28
28
16
16
16
16
16
8
8
0
4
31
8
2
16
8
14
8
16
16
0
1
16
16
0
8
0
8
8
8
32
8
16
16
2
16
16
16
8
0
8
8
8
8
4
4
0
0
1
1
1
8
12
8
5
0
0
0
8
8
8
16
16
16
16
16
8
2
2
2
2
2
0
0
0
0
8
0
11
11
11
0
0
0
2
8
8
0
16
0
8
0
8
1
0
0
0
4
4
1
0
8
17
0
16
16
8
8
4
9
0
0
20
2
2
2
2
16
2
4
4
16
0
16
17
0
4
0
0
0
16
17
1
1
32
1
1
1
2
0
24
24
24
8
8
16
16
4
0
4
4
0
0
8
8
8
0
16
16
0
0
0
0
0
0
0
0
0
0
24
24
8
1
16
16
16
4
16
16
16
16
16
16
0
0
0
8
20
16
16
8
8
8
8
8
8
16
16
0
33
16
0
0
12
0
0
0
56
8
0
0
8
8
0
8
4
20
0
8
4
4
2
8
2
2
16
0
18
8
8
8
8
4
0
0
0
8
18
18
2
19
16
16
32
38
8
0
32
32
8
16
24
4
4
0
20
16
0
16
16
8
32
32
16
0
2
8
8
8
8
0
8
16
16
16
16
16
8
8
8
8
8
0
0
4
5
0
2
2
16
16
0
16
1
4
5
5
8
8
0
0
0
0
0
16
16
0
4
0
0
8
0
20
26
26
0
20
20
20
20
20
18
16
16
16
16
16
0
16
8
8
8
8
0
1
8
0
0
0
0
0
24
1
8
8
4
0
2
4
0
0
0
16
16
4
0
0
16
5
5
0
0
0
16
8
0
24
24
4
0
0
0
0
8
8
0
16
0
16
16
0
4
12
4
4
4
4
0
0
1
1
8
8
8
8
0
0
0
0
4
4
4
32
32
0
14
8
8
8
8
8
8
16
4
4
4
4
21
16
8
8
8
8
8
8
0
4
0
0
2
0
16
8
8
8
8
8
0
0
8
9
9
6
0
4
17
1
4
0
8
0
16
8
0
8
1
1
8
8
4
4
4
16
16
16
1
1
8
8
0
0
8
8
8
0
0
32
8
8
0
0
10
0
8
8
0
0
0
0
8
0
0
4
4
4
4
0
0
8
0
16
56
2
0
8
8
8
24
8
4
4
28
0
0
0
16
0
32
36
8
28
24
24
0
24
8
8
8
0
8
0
8
0
0
0
8
0
2
2
8
8
2
8
8
8
16
20
8
8
8
8
8
8
8
0
0
1
8
1
4
8
8
8
8
16
16
16
0
16
16
16
16
8
0
20
16
4
0
6
6
0
2
0
0
0
0
16
16
8
8
0
0
8
8
8
8
0
0
0
1
1
1
1
1
0
0
16
19
8
8
4
24
16
16
1
2
0
8
1
21
8
3
7
36
17
16
0
0
0
8
0
21
1
16
20
16
16
16
0
4
4
4
0
0
0
16
0
4
0
0
32
8
8
8
8
1
1
0
0
14
2
8
8
0
8
2
4
4
4
4
4
4
9
17
12
8
32
1
1
16
16
0
0
0
0
0
8
20
4
16
16
0
24
24
16
16
16
8
16
16
16
16
16
16
8
16
32
32
8
8
8
8
4
4
0
8
8
8
4
0
0
20
4
4
16
8
0
0
8
8
8
0
28
16
16
4
4
1
1
8
16
24
9
0
0
0
8
8
0
2
2
0
8
8
8
8
8
8
4
9
3
48
4
4
8
8
8
8
8
12
12
2
0
4
0
8
0
0
0
1
0
0
8
0
4
2
2
8
8
0
8
8
8
0
14
16
16
16
16
8
8
8
16
0
0
0
0
0
0
0
0
8
8
8
57
8
8
8
4
0
0
0
0
8
8
24
1
1
1
8
0
0
16
0
2
2
0
8
8
8
8
2
2
8
16
0
8
8
24
16
1
1
4
0
4
1
0
8
32
0
8
8
8
8
0
12
0
16
0
0
1
1
0
0
0
0
0
0
0
16
8
8
0
0
2
8
8
8
0
16
4
24
24
0
0
0
0
8
0
0
8
8
8
0
0
24
8
16
8
8
8
8
4
0
0
18
0
0
0
0
0
0
11
11
8
8
40
0
0
16
0
8
0
8
16
16
16
0
0
0
0
1
4
0
0
8
0
0
16
8
0
16
0
8
16
20
8
4
0
0
32
8
8
24
24
24
1
1
1
1
0
0
0
16
0
16
12
4
2
0
2
2
2
0
0
16
0
0
0
0
0
8
8
8
8
8
2
6
8
8
8
8
8
16
0
8
8
8
0
8
1
0
2
2
4
8
8
0
0
0
0
0
8
8
8
0
8
0
16
9
9
8
0
0
0
0
2
2
8
0
0
8
0
0
16
16
16
16
0
0
0
0
0
0
0
20
8
4
4
17
20
22
0
0
0
16
0
0
4
4
10
10
0
8
0
0
0
8
0
0
8
8
8
8
8
8
8
0
0
0
2
2
38
38
0
0
0
4
4
0
16
16
16
16
0
0
0
0
0
0
16
1
1
2
16
16
16
0
6
6
0
0
0
8
0
0
0
0
18
0
0
24
1
0
4
4
32
8
8
8
2
8
16
16
0
0
0
0
0
8
0
0
0
16
0
8
8
1
0
16
0
0
0
16
0
0
0
0
8
8
8
8
0
24
4
4
4
4
4
4
8
16
0
0
0
0
0
0
0
8
0
0
16
0
0
2
8
4
20
29
0
0
0
8
8
8
8
8
16
16
5
0
0
4
42
0
4
4
4
16
2
0
14
8
16
0
0
0
0
1
1
8
4
0
8
0
0
0
0
0
0
4
0
0
0
8
8
8
0
34
34
0
8
0
0
8
8
8
8
8
1
1
0
0
0
5
8
16
16
0
16
16
20
10
10
4
4
0
8
8
8
4
8
8
32
32
0
0
16
16
16
0
0
0
0
0
0
0
6
2
8
4
4
4
1
1
4
16
8
8
8
8
8
8
0
0
8
8
1
32
16
8
8
0
0
0
0
8
8
16
8
8
16
16
0
2
2
0
8
0
12
4
0
11
2
0
4
0
1
0
8
0
0
3
20
4
0
1
16
16
16
16
8
0
16
0
1
4
4
0
4
4
2
4
24
2
2
2
0
0
16
8
8
0
0
8
8
0
0
0
0
17
17
16
0
0
8
4
0
8
8
0
0
8
8
16
16
2
2
16
8
8
8
8
0
32
8
8
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
9
8
0
0
0
8
0
0
0
0
0
8
8
0
0
16
0
0
16
8
8
16
4
4
28
2
2
0
8
8
0
0
24
4
0
0
16
16
6
0
8
8
2
8
8
8
8
8
8
8
0
1
16
0
0
0
20
28
8
8
0
8
8
24
8
0
0
0
12
8
4
4
4
0
0
20
20
8
8
4
8
16
0
2
0
0
0
0
0
0
0
0
8
0
0
0
0
24
24
24
8
16
0
4
4
0
0
4
4
8
8
8
8
0
0
32
32
32
32
8
0
24
24
0
0
8
8
8
2
2
0
0
0
24
0
0
16
4
4
4
4
4
16
56
0
0
0
16
8
8
2
6
0
16
16
16
16
0
8
0
0
0
0
0
0
0
0
8
8
0
8
8
0
8
8
8
8
1
8
8
8
16
0
0
0
16
17
0
0
4
4
14
14
14
14
0
0
0
8
24
0
0
52
52
0
8
0
0
8
12
5
1
0
0
0
8
8
0
24
24
24
0
0
0
0
8
8
8
0
16
16
16
4
16
16
16
0
0
0
0
0
0
8
8
8
8
8
0
8
0
3
3
3
3
0
16
0
8
1
1
1
1
0
0
8
8
8
8
8
2
0
0
0
0
1
1
1
0
0
1
1
8
0
0
0
0
0
0
0
0
0
0
0
0
8
0
24
24
1
8
4
4
20
2
8
8
0
1
16
32
16
17
9
0
8
0
5
5
8
16
0
8
0
8
17
16
8
16
0
0
0
24
24
24
24
8
8
8
24
24
16
0
0
1
1
1
2
5
5
5
0
0
0
1
1
0
16
0
0
16
1
1
1
16
16
16
24
6
0
0
0
0
8
8
8
0
4
0
8
0
0
0
0
0
16
8
8
20
8
8
32
32
0
8
8
8
0
0
16
8
0
8
8
8
8
8
20
20
4
0
0
16
4
31
0
0
16
1
0
16
0
8
12
12
20
0
0
3
3
20
0
0
0
17
25
16
0
0
32
32
32
8
0
1
1
16
16
0
1
0
0
8
8
16
16
16
0
0
8
0
0
34
0
0
0
8
8
8
0
0
4
4
0
16
0
8
0
12
4
4
4
8
8
0
0
0
0
8
8
40
0
0
0
0
2
2
24
24
24
1
1
0
8
0
0
0
0
0
0
1
0
0
0
8
0
0
8
0
0
8
16
16
16
8
16
16
16
16
16
16
16
0
0
8
8
1
8
0
8
8
8
8
8
0
16
16
0
0
8
1
1
1
10
0
16
4
16
1
0
0
0
24
8
0
8
8
16
16
0
0
0
0
8
16
16
16
8
8
0
0
0
0
16
0
0
16
8
8
0
8
0
0
0
8
24
0
0
0
0
2
18
2
16
8
8
16
0
0
0
0
24
24
24
0
16
16
8
8
8
8
8
8
0
0
16
16
16
0
0
16
8
4
8
8
8
0
0
6
6
16
4
0
4
4
0
16
16
16
16
1
18
16
0
0
0
8
8
16
16
16
4
4
8
0
0
20
16
16
0
4
0
16
16
9
0
0
8
0
16
0
24
4
4
0
0
0
0
13
8
8
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
8
16
0
8
8
0
0
0
16
16
4
4
8
8
8
12
8
8
4
4
16
0
0
0
0
0
0
4
0
16
16
0
0
1
1
16
8
0
0
1
1
8
8
8
8
0
2
2
2
16
0
8
0
0
8
8
0
4
4
4
4
0
0
8
8
16
8
0
8
0
8
27
16
16
0
56
16
1
0
0
16
0
0
7
4
4
8
0
0
0
0
0
8
0
16
16
16
0
0
0
8
8
0
8
16
16
0
0
0
4
4
24
16
0
17
17
17
17
17
17
8
16
0
0
0
0
0
0
0
18
16
0
8
0
16
5
0
0
0
8
0
16
16
8
8
1
4
4
8
8
1
2
2
24
0
16
0
8
8
8
0
8
8
0
0
8
16
0
0
0
0
0
8
8
0
16
0
0
16
4
0
0
1
4
4
24
0
0
8
8
0
0
0
8
4
4
0
0
1
1
1
1
16
16
0
16
16
16
16
24
4
8
8
8
12
8
8
8
8
16
14
14
4
4
0
8
8
0
16
16
8
8
8
8
32
32
32
0
0
16
16
8
8
8
0
2
8
8
8
8
0
0
0
4
4
4
0
0
0
0
0
0
16
16
16
0
0
0
0
0
0
8
0
8
0
0
0
8
8
8
8
8
0
2
2
2
0
0
0
8
8
1
0
16
16
16
4
4
0
16
8
8
8
8
0
0
0
0
0
16
8
8
0
0
16
16
16
16
2
2
2
2
2
2
0
0
17
8
8
16
24
8
24
4
0
4
8
8
8
4
4
24
16
28
28
1
0
0
0
18
0
0
8
8
0
0
0
0
0
0
0
4
4
4
8
0
0
0
0
4
8
8
0
24
24
4
0
8
8
8
0
8
8
8
0
0
4
8
8
8
2
34
0
0
0
0
8
0
0
0
40
32
18
18
8
8
0
16
8
0
4
0
0
1
1
1
0
0
0
4
4
4
8
8
0
0
0
0
0
0
0
24
24
8
8
16
6
6
0
16
16
0
0
2
8
0
4
0
0
0
0
8
16
16
16
8
8
4
16
16
8
8
8
0
8
8
8
8
8
8
0
0
0
16
4
12
0
0
0
2
0
0
0
8
8
20
16
8
8
0
0
0
0
0
0
0
8
1
1
1
0
16
16
16
16
0
8
24
0
0
0
0
1
1
24
0
0
8
8
8
0
0
25
0
0
0
8
8
0
16
8
0
0
0
0
0
0
8
0
16
1
17
32
32
32
8
8
8
8
8
8
0
0
24
8
32
32
8
16
16
0
0
0
0
0
0
0
16
8
0
1
1
0
16
16
16
0
0
0
16
16
16
8
0
24
0
0
0
2
16
0
0
0
0
8
8
8
8
0
0
0
0
0
0
8
16
1
0
4
4
2
8
20
20
8
8
8
0
0
0
4
4
0
24
8
8
4
32
1
35
4
4
1
0
2
8
8
8
16
8
0
0
0
8
8
8
8
8
8
8
8
8
0
22
6
8
8
0
8
0
0
0
0
0
0
17
4
0
16
16
0
0
8
0
0
0
0
0
0
0
8
8
8
8
0
17
0
0
0
0
0
16
16
4
4
8
8
8
16
16
16
16
0
0
2
0
0
0
8
16
0
24
4
4
4
16
0
0
0
0
4
0
0
16
16
0
0
0
0
16
28
0
16
8
8
8
8
8
8
8
8
16
16
16
16
16
16
0
0
0
0
0
0
8
0
2
2
2
4
1
8
8
8
4
0
0
0
16
16
0
0
0
0
8
8
16
16
16
27
27
9
9
0
8
0
0
4
4
0
0
0
8
1
1
8
16
16
8
2
2
8
16
20
20
20
0
0
24
2
4
4
17
0
9
9
9
36
32
2
1
8
8
0
4
4
0
8
8
8
8
8
8
16
16
16
16
0
0
0
0
0
0
0
0
4
12
16
16
16
0
0
0
24
24
24
0
0
0
0
8
8
8
24
24
0
0
1
0
12
12
24
24
24
24
16
8
8
8
0
0
0
0
0
16
16
16
16
16
8
0
16
16
16
8
8
8
8
8
32
0
8
8
0
0
0
8
8
16
16
2
0
1
1
4
27
8
1
1
24
0
16
20
20
20
0
8
8
8
8
18
12
0
0
0
0
0
8
8
8
8
0
32
32
32
16
16
16
16
4
0
18
4
4
4
4
0
0
16
0
0
0
0
0
24
8
0
4
4
4
4
0
0
0
24
16
4
2
2
8
8
2
2
20
0
16
7
0
0
16
16
8
0
0
0
0
0
0
8
8
8
2
0
0
8
0
8
8
8
16
16
0
20
20
20
20
8
16
16
0
0
4
4
4
0
8
8
9
0
8
8
8
16
0
16
8
16
16
0
0
8
8
8
0
0
8
0
16
24
16
0
4
8
8
8
0
2
20
8
8
0
60
16
16
4
0
0
0
8
0
0
16
16
16
0
0
0
0
4
4
8
16
16
1
6
0
0
0
8
0
0
0
8
0
32
32
2
2
8
0
0
32
12
12
3
18
8
8
8
0
0
0
16
0
8
32
0
2
2
2
4
4
0
0
4
16
16
16
16
4
18
16
16
16
0
0
0
0
0
0
16
8
0
17
3
8
1
0
0
2
0
0
0
8
8
2
2
16
8
11
8
0
0
4
4
0
0
4
4
16
0
0
0
0
8
32
8
0
16
0
0
0
16
1
1
0
1
6
6
16
16
8
8
0
8
0
0
4
4
4
4
8
8
0
8
8
0
0
4
4
16
16
4
16
0
0
0
8
0
8
0
4
8
8
0
0
4
0
8
16
8
36
8
0
8
0
0
0
0
0
4
0
8
8
8
1
0
8
1
1
8
8
1
1
8
8
5
16
8
8
8
8
0
0
0
9
0
0
0
0
0
0
0
0
0
8
8
22
0
0
0
0
0
0
0
0
0
0
8
8
4
8
0
0
0
0
0
0
0
1
1
1
1
8
0
16
16
18
8
0
0
0
0
0
0
0
16
16
8
0
0
28
8
0
0
8
0
19
20
0
24
8
8
0
0
0
1
20
20
0
2
1
1
10
0
8
8
8
32
8
8
8
12
12
12
12
0
0
0
8
8
0
0
0
0
38
0
0
8
8
8
8
8
8
0
0
2
2
2
0
8
8
8
0
0
2
2
2
8
0
8
0
0
0
0
0
8
8
0
0
16
16
16
16
16
8
8
12
0
0
0
0
0
0
8
8
4
0
0
0
16
16
16
16
0
9
9
9
0
4
1
5
0
0
13
13
0
19
8
8
16
4
4
8
8
16
16
16
16
0
0
4
8
8
0
0
0
0
8
8
8
8
8
0
0
0
16
0
16
8
0
0
0
0
0
38
8
2
0
8
8
8
0
0
0
0
0
16
16
0
2
2
0
0
8
8
8
8
8
8
8
1
0
0
0
8
0
4
8
8
8
2
0
0
8
16
10
10
0
0
8
8
8
8
8
8
8
28
8
8
0
0
8
8
51
16
51
16
0
0
0
0
2
2
0
16
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
1
1
0
8
8
8
16
24
16
0
0
8
8
8
0
4
4
8
16
8
8
0
25
25
0
16
4
24
24
0
0
1
8
8
8
8
0
0
0
16
16
16
16
8
0
0
8
8
8
32
32
0
0
2
0
0
8
8
0
0
24
24
0
0
0
0
3
0
0
8
8
8
8
0
8
8
8
1
1
0
8
8
16
16
16
16
0
0
0
8
8
1
0
0
2
20
20
16
4
8
8
10
0
2
16
0
0
8
0
2
2
0
0
0
1
0
4
4
4
2
0
8
8
8
8
16
16
0
36
16
16
16
16
4
24
4
12
2
2
0
0
0
0
16
8
0
16
8
0
4
0
8
8
0
0
0
8
16
16
16
0
8
0
0
0
0
1
0
0
8
8
8
0
4
52
2
0
0
0
8
4
0
0
0
4
2
54
54
0
0
0
0
0
18
0
32
8
16
4
0
0
0
0
16
2
2
2
2
0
0
0
0
16
16
2
0
12
12
8
8
0
0
2
2
8
0
0
2
4
8
8
8
0
0
0
0
0
16
16
8
16
8
4
4
4
4
32
32
32
8
8
0
0
16
16
0
8
0
0
0
8
8
2
2
4
28
0
18
0
1
16
0
16
4
4
4
0
0
8
8
16
0
0
8
8
8
0
0
0
0
0
1
1
0
0
32
32
32
20
0
1
0
1
24
8
0
56
56
56
0
8
8
1
8
0
8
8
0
0
0
28
8
1
1
0
0
0
24
32
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
16
16
0
0
16
2
8
8
8
8
0
0
24
24
20
8
8
8
8
8
8
0
24
16
16
8
8
4
4
0
0
0
0
0
6
6
8
8
8
8
0
0
4
0
0
24
8
0
24
24
24
24
24
8
0
4
16
0
10
0
8
8
8
8
0
1
0
0
4
4
4
8
0
8
8
24
0
0
0
0
0
8
8
0
17
3
0
0
16
8
8
1
1
0
0
0
8
8
1
1
4
4
16
16
0
0
0
8
0
1
1
1
8
8
8
8
8
32
16
16
32
32
0
0
0
0
4
0
0
8
8
8
0
0
0
6
4
2
8
0
0
0
8
24
8
16
16
0
0
0
0
0
0
0
4
20
20
16
2
0
0
0
0
0
24
16
0
0
0
8
8
8
4
16
0
0
0
8
8
8
8
0
0
2
0
1
1
0
0
0
0
2
4
8
0
17
16
16
16
16
56
0
0
26
26
2
2
0
24
24
0
0
8
4
0
0
0
0
0
0
0
0
0
0
8
0
0
1
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
8
24
24
2
0
0
1
8
0
0
18
16
0
0
0
4
4
4
2
17
17
0
0
0
8
8
8
8
8
1
1
1
4
0
17
17
24
0
8
8
8
8
8
0
0
3
0
0
24
8
8
0
1
1
0
16
8
16
16
8
32
8
8
8
49
16
0
0
0
8
52
0
2
2
0
0
0
0
8
0
16
0
20
4
4
12
12
8
0
0
8
1
1
1
1
1
1
25
1
1
0
1
12
1
2
16
16
0
0
2
2
0
8
2
2
2
32
16
2
16
8
0
0
8
8
8
0
16
0
16
4
4
0
0
0
2
2
2
0
0
0
0
0
0
8
8
25
0
0
0
0
16
16
16
16
16
0
9
0
0
0
0
0
0
0
0
0
2
2
0
16
0
20
16
0
0
8
8
8
8
16
16
4
8
8
8
0
4
4
16
16
0
0
0
0
0
16
44
4
40
44
8
2
8
4
32
8
8
0
0
0
0
0
0
0
0
0
9
8
4
8
8
0
8
24
24
2
2
2
2
0
0
0
0
0
8
8
0
0
0
0
1
0
8
12
1
1
1
8
8
0
0
0
0
0
8
32
8
8
0
0
16
0
0
0
8
0
4
4
8
0
0
0
0
0
0
0
0
0
0
8
8
8
0
8
0
0
0
0
16
8
16
0
0
0
2
0
6
0
2
18
0
0
0
0
8
8
8
0
0
8
0
0
8
0
0
0
0
0
0
0
0
0
24
0
8
8
0
0
0
0
2
0
0
0
16
16
6
6
0
0
0
14
4
4
8
0
0
0
2
0
4
0
0
48
8
8
1
0
0
0
8
8
8
33
21
0
0
1
0
0
0
16
16
8
8
8
0
16
4
0
2
2
18
0
0
0
0
0
2
16
8
8
8
8
8
8
8
0
0
0
0
2
0
0
0
0
0
0
0
0
2
0
2
2
2
0
0
0
0
0
8
0
0
0
0
4
4
0
8
1
1
1
8
8
16
4
4
8
8
8
0
0
0
2
8
8
8
4
0
10
0
8
16
16
0
8
0
0
0
0
16
0
0
4
8
16
16
16
16
20
0
0
0
0
8
0
16
0
0
0
0
4
0
0
0
0
0
8
0
0
8
8
0
0
0
5
28
8
0
8
8
5
16
8
8
8
16
8
8
8
8
8
0
0
8
8
0
0
8
2
2
2
0
0
8
0
0
0
0
16
16
0
8
8
0
8
8
8
0
8
8
8
8
16
0
8
8
8
0
16
8
0
0
4
49
0
16
4
2
0
0
0
0
0
0
4
8
8
0
0
33
0
0
0
32
32
0
2
0
0
8
0
0
2
58
8
8
0
0
0
25
4
4
34
0
0
0
8
8
4
0
0
0
0
8
8
2
2
0
2
3
1
8
8
0
0
16
16
16
16
4
4
4
16
16
0
0
0
1
8
8
0
1
18
8
0
0
0
0
16
16
0
0
8
8
0
4
8
8
8
0
0
16
27
2
8
8
0
0
16
32
32
1
16
4
0
0
0
0
0
0
22
4
4
32
32
17
17
16
16
6
0
0
24
24
24
0
0
0
0
0
0
16
16
16
1
0
0
16
2
0
0
0
0
0
0
8
2
8
0
0
0
40
0
0
0
0
0
16
0
0
36
32
28
8
0
0
0
0
8
8
0
0
0
0
16
2
2
2
2
0
4
0
0
0
0
0
0
0
0
8
8
0
0
0
0
8
2
0
16
4
6
0
2
0
0
0
8
0
0
0
0
0
0
0
0
0
0
36
16
16
0
0
0
0
0
0
0
1
1
16
16
8
2
2
2
8
8
4
8
8
8
33
0
0
16
16
16
0
24
0
0
8
8
8
0
8
8
16
25
8
0
0
0
0
0
0
0
0
1
0
0
0
0
0
16
28
0
0
0
4
2
0
0
0
0
0
8
8
8
16
0
8
8
8
24
0
0
0
0
0
0
2
2
0
4
4
4
16
8
36
16
16
16
16
16
16
16
16
32
32
32
32
32
8
8
0
16
16
16
16
16
0
0
0
0
0
0
0
0
0
0
0
9
0
17
17
17
16
4
8
0
0
0
0
4
8
8
8
8
8
8
8
8
8
8
16
16
0
0
24
24
0
0
1
8
16
16
16
16
16
16
8
2
2
8
8
0
8
8
18
16
0
4
8
8
8
16
16
0
8
16
16
18
0
1
9
16
16
16
16
16
16
6
6
16
16
16
0
0
32
32
32
32
2
2
8
16
16
0
0
0
8
12
8
16
8
0
4
0
0
0
0
1
1
0
16
16
4
4
4
0
0
0
8
8
0
0
17
2
8
8
8
8
24
24
8
8
24
24
32
32
16
8
8
16
8
8
8
8
8
0
16
21
21
4
0
8
1
10
8
0
0
0
0
16
8
0
0
3
0
29
29
0
16
1
1
16
16
8
16
16
0
0
0
0
16
16
16
16
8
8
4
4
4
2
0
8
8
8
24
4
4
4
16
16
24
16
16
16
8
8
8
8
12
0
8
8
8
4
4
2
19
8
8
8
8
0
16
0
1
1
1
8
8
8
8
8
16
16
16
8
8
12
60
8
8
0
0
0
8
32
32
32
32
32
8
36
4
24
16
0
0
0
0
12
32
32
32
32
32
32
8
8
16
16
16
16
16
16
16
16
16
16
16
16
0
16
8
8
8
8
8
16
16
16
0
8
1
24
24
8
8
8
8
8
8
8
16
8
20
20
0
8
8
16
2
2
6
0
0
0
12
16
8
9
0
0
0
0
2
1
18
18
18
0
0
48
48
16
12
1
5
5
0
0
16
16
0
8
32
32
32
26
16
16
16
0
0
0
0
8
8
8
32
32
16
16
16
4
4
4
8
8
8
8
32
32
32
32
8
8
8
24
24
16
3
2
1
1
0
20
20
0
16
16
8
8
8
8
8
8
8
8
16
8
8
8
8
8
0
0
2
2
8
8
8
0
0
0
0
0
0
8
0
8
8
8
8
8
8
0
0
16
16
0
1
4
4
0
0
0
8
8
16
2
4
4
4
4
4
8
16
8
8
2
2
2
25
16
16
0
8
8
8
8
16
16
16
16
16
16
0
0
16
16
16
16
45
45
8
8
8
0
8
7
1
8
8
8
8
8
24
8
8
0
0
4
4
56
56
4
4
4
4
8
8
8
8
8
8
0
0
0
2
8
28
1
16
0
8
8
8
8
8
28
16
16
16
16
0
0
0
8
2
2
2
8
0
16
4
8
8
0
0
0
8
0
8
0
0
0
16
16
32
32
32
8
0
0
8
24
24
20
20
0
0
0
0
0
32
40
1
1
1
16
16
8
4
16
16
8
8
8
8
40
6
6
8
8
0
0
0
0
0
16
33
8
8
0
24
24
0
7
6
2
0
8
8
8
8
8
8
0
0
0
0
0
8
8
1
1
1
1
0
0
8
16
40
4
4
0
0
4
16
20
20
20
8
8
0
10
2
2
0
0
0
4
4
4
0
0
0
0
32
32
0
0
16
16
16
16
16
2
8
0
0
0
16
16
16
0
56
8
0
16
16
16
8
8
8
0
0
28
28
28
28
8
8
40
1
1
1
1
1
0
8
4
0
0
16
16
1
1
1
1
2
2
2
2
8
8
4
8
9
9
9
9
8
8
8
8
8
0
0
0
0
0
8
16
0
0
16
8
8
8
8
0
0
0
0
16
16
0
24
0
0
0
9
0
0
16
0
0
8
40
12
0
0
0
0
0
0
0
0
0
0
2
2
0
32
32
8
0
0
0
2
0
16
16
4
17
17
18
2
2
16
4
18
18
0
0
0
0
1
27
9
8
8
17
1
0
0
0
0
0
0
16
8
16
8
9
9
8
8
8
8
8
8
8
8
0
2
2
2
4
4
4
4
0
1
16
8
8
8
8
8
16
16
8
8
16
24
0
8
16
2
18
16
8
0
0
8
8
1
1
24
17
0
4
8
8
8
4
0
8
0
0
0
8
8
0
8
8
12
8
16
2
0
1
1
1
8
6
1
2
2
0
0
2
2
16
16
16
0
0
0
0
24
16
16
8
8
0
0
0
16
0
0
0
9
8
8
8
8
8
1
8
16
8
32
32
8
8
8
4
4
4
0
0
0
0
9
1
0
0
0
8
8
8
0
0
0
1
1
1
1
1
0
0
0
0
0
0
1
8
8
0
16
16
4
16
24
24
1
1
1
1
0
0
0
0
0
0
0
0
4
4
0
0
0
12
12
16
0
8
8
8
0
0
0
41
33
4
4
16
16
16
24
2
0
12
12
12
12
12
1
9
9
8
8
8
0
16
4
4
4
4
4
0
0
2
16
32
0
0
9
9
8
1
2
16
0
0
0
4
8
16
16
16
16
40
8
8
16
35
0
0
16
16
16
16
16
12
4
1
1
8
8
8
16
0
16
16
16
32
32
32
32
32
32
32
1
1
4
8
0
0
0
8
8
12
12
12
12
12
12
12
8
8
8
8
8
1
1
1
1
1
1
24
2
0
0
16
8
28
28
28
8
8
0
0
8
8
8
8
16
2
4
6
8
1
0
0
0
8
8
8
8
4
4
4
39
16
16
16
16
16
8
16
0
0
8
8
0
0
0
0
8
18
18
18
18
8
24
24
24
24
0
0
0
16
16
1
4
16
1
16
0
0
0
8
4
4
8
8
8
8
0
0
4
4
4
16
17
16
0
32
32
16
16
16
16
8
8
8
8
4
0
8
8
0
24
24
8
0
1
8
8
8
0
0
0
0
0
0
0
16
0
0
8
8
8
8
8
8
2
2
0
0
0
4
4
4
4
8
8
8
8
5
1
2
2
8
8
0
0
16
16
4
4
4
4
8
0
24
24
8
4
4
20
20
10
0
0
0
0
0
0
0
0
16
16
16
0
32
0
0
16
16
8
12
12
32
32
32
32
0
32
32
0
0
0
8
8
4
32
0
0
0
1
1
17
8
2
2
0
2
2
0
0
0
1
1
4
4
0
5
8
8
8
32
32
8
16
16
16
2
2
2
0
0
8
8
8
2
16
16
0
0
2
2
2
2
2
0
4
0
0
0
0
24
8
0
0
0
0
8
8
8
0
16
16
8
8
8
8
16
16
16
16
16
0
8
8
24
24
24
24
20
8
9
8
8
16
0
8
8
16
4
8
0
0
0
8
8
8
0
0
24
4
4
0
16
8
8
8
0
0
0
0
8
8
16
16
16
32
32
8
8
8
8
8
0
0
0
32
32
32
32
32
32
32
32
32
32
8
0
16
4
4
4
4
8
16
8
24
8
16
0
0
0
16
16
16
16
16
0
0
0
0
0
0
0
2
2
4
0
0
16
0
16
16
16
0
28
16
8
0
0
4
4
4
4
4
8
8
8
8
8
8
8
8
8
8
16
16
16
16
16
16
12
49
49
22
2
2
8
8
8
8
8
8
16
16
16
8
16
16
0
8
8
8
17
1
8
13
0
16
16
4
8
16
16
0
0
0
16
20
16
16
32
32
2
2
2
4
4
1
8
8
16
8
16
8
16
16
16
16
4
16
2
4
0
8
16
20
16
16
8
32
0
0
0
0
8
8
8
0
0
0
0
8
8
8
8
8
2
0
8
8
4
4
48
0
0
0
16
16
16
16
8
8
8
8
27
27
27
0
8
0
0
0
0
16
0
14
24
8
0
1
0
0
0
0
0
0
2
2
0
0
13
32
8
2
8
16
4
4
16
16
16
8
8
4
4
4
8
53
16
16
0
0
8
8
8
0
0
8
8
8
8
32
32
0
8
8
4
4
0
24
16
1
1
0
0
4
4
0
0
8
24
1
1
1
1
4
8
8
1
1
8
8
8
8
8
8
8
8
8
4
4
4
16
13
13
13
0
0
0
8
8
8
8
0
8
8
16
16
16
16
8
16
1
1
1
1
0
0
0
0
0
0
20
17
16
24
24
24
4
16
0
0
4
0
0
0
0
0
0
32
0
0
8
4
26
16
16
16
16
16
8
0
16
16
16
57
57
57
16
16
0
16
0
32
32
32
32
32
1
1
1
8
8
8
16
8
8
18
18
18
18
32
32
0
0
8
12
8
8
4
4
8
8
8
8
16
16
16
8
0
0
0
0
0
0
16
16
16
16
0
0
0
0
0
0
0
40
16
16
0
0
2
2
2
16
16
16
1
1
1
8
8
8
8
8
0
0
0
1
1
1
8
8
8
8
8
8
4
1
18
0
0
0
0
0
16
0
8
8
0
8
2
2
1
24
8
1
1
8
8
8
8
8
8
8
8
8
8
16
16
0
2
0
0
8
8
0
0
0
8
33
8
4
16
16
16
16
16
16
16
16
1
9
9
0
8
25
25
0
8
16
16
16
0
20
16
16
16
16
24
8
16
4
16
32
32
32
4
0
8
8
8
8
8
8
8
40
32
32
8
8
8
0
8
0
32
32
32
32
4
4
4
8
0
0
32
8
0
1
8
0
0
0
0
16
16
16
16
8
0
0
16
16
1
16
1
1
0
16
8
8
0
0
2
2
0
8
32
8
8
8
13
8
8
8
8
2
0
8
1
1
8
0
8
1
0
0
0
16
8
8
4
8
0
0
0
1
24
24
0
0
8
0
0
8
16
16
16
16
25
4
8
4
4
4
4
4
6
6
6
1
2
2
2
2
8
8
0
16
9
11
8
8
8
8
0
0
0
2
2
2
2
8
4
0
16
16
16
16
18
18
16
0
0
17
32
24
2
2
24
8
1
1
1
1
1
0
0
8
4
4
4
0
0
8
8
8
8
8
16
2
8
8
8
34
34
24
24
24
24
24
24
24
24
0
8
8
4
4
4
4
8
0
8
8
8
8
8
8
8
8
16
16
16
16
16
16
16
16
16
16
16
16
16
16
8
16
16
1
0
24
8
8
8
8
0
0
16
0
0
0
0
1
1
1
24
32
8
16
4
0
0
0
0
8
21
16
4
0
10
0
20
8
1
2
12
8
16
16
16
0
12
2
6
0
0
0
0
16
8
0
16
0
0
0
2
2
2
16
16
8
16
0
0
0
0
4
12
4
0
16
0
8
16
5
32
32
8
2
2
1
8
8
16
0
4
4
16
9
16
8
1
19
19
19
17
17
17
16
16
16
8
8
2
8
8
8
8
8
16
0
2
0
16
25
25
0
5
16
16
16
16
16
16
1
1
0
1
1
8
8
8
0
16
18
1
16
8
32
32
32
8
4
4
0
8
8
8
8
8
4
8
8
32
32
0
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
2
0
8
8
0
17
24
8
0
0
0
0
0
4
4
16
4
4
8
4
4
4
8
8
8
8
8
44
8
8
16
0
0
8
8
1
1
1
24
24
24
24
24
24
8
8
8
8
8
8
8
16
0
0
0
16
0
4
12
4
4
8
8
8
8
8
28
0
0
0
0
16
0
4
4
4
8
8
4
4
24
16
0
8
8
8
8
0
16
0
2
24
12
8
8
8
28
28
12
12
0
0
0
16
12
0
8
8
1
1
12
0
0
0
4
16
4
4
4
48
48
48
48
0
8
16
24
16
4
4
4
4
4
4
16
16
16
1
0
8
0
4
2
0
8
8
8
32
4
1
2
8
8
8
8
8
0
8
8
0
0
0
0
0
0
0
16
16
8
8
0
0
0
0
0
8
8
58
58
1
1
1
1
21
21
1
1
9
0
0
0
4
16
8
1
35
16
16
16
0
0
0
0
8
8
8
1
16
32
32
8
12
12
0
0
0
16
8
24
24
24
8
16
16
40
8
17
8
8
8
0
0
0
0
0
0
16
0
0
0
6
32
0
8
8
8
8
4
0
8
8
16
48
48
16
8
1
8
16
0
0
0
0
0
17
16
8
8
1
0
16
24
24
8
16
8
8
0
0
8
8
16
2
0
0
0
8
8
8
8
0
16
8
8
8
0
0
0
0
4
16
0
1
1
8
8
48
48
16
16
16
4
0
16
4
16
0
0
8
8
0
4
0
0
0
8
42
2
0
32
4
32
0
0
0
0
1
10
1
1
1
9
9
8
32
32
8
8
0
8
1
2
8
0
0
16
16
16
16
0
0
0
8
12
12
0
0
0
0
8
8
0
0
40
8
8
16
16
8
8
16
16
16
16
16
16
32
32
32
0
8
8
16
16
16
0
0
8
8
16
16
16
8
24
24
24
16
8
16
16
16
16
16
8
0
4
0
0
1
1
40
21
16
16
16
0
2
2
2
0
4
24
8
33
16
0
24
24
8
0
0
16
0
0
26
1
8
8
8
2
2
2
16
16
0
0
0
8
8
8
16
32
16
16
0
8
16
33
33
33
33
8
8
8
8
16
16
2
16
24
0
0
0
24
0
0
0
0
2
2
8
8
8
0
2
2
0
1
0
4
4
0
0
8
8
8
26
0
0
1
1
1
1
8
8
2
8
8
8
8
8
8
8
0
0
0
48
1
16
16
16
0
8
8
8
4
16
24
16
8
16
1
1
8
8
8
0
0
16
0
4
16
16
8
8
8
0
0
4
4
4
4
4
4
4
20
4
0
0
0
0
0
8
12
12
8
8
0
8
8
40
40
32
40
16
16
16
16
8
2
16
16
20
16
16
0
1
16
0
2
0
12
12
12
12
12
12
0
0
0
0
0
16
32
32
32
1
0
0
57
16
8
24
0
0
0
0
0
0
8
4
4
0
0
8
16
0
8
0
0
8
0
16
25
0
16
16
16
32
32
8
8
8
0
8
24
8
8
8
8
8
8
4
4
4
4
4
4
4
4
16
20
16
8
8
8
8
8
8
8
6
6
16
52
52
52
52
18
18
18
18
18
0
0
0
0
0
0
0
2
2
0
8
16
16
16
16
1
4
4
4
16
32
8
8
8
16
16
8
1
1
0
8
0
0
0
0
0
0
16
16
1
1
1
32
32
16
0
8
8
8
8
16
16
16
0
0
0
0
0
1
5
4
4
4
4
4
13
2
34
2
2
2
0
17
16
0
0
1
1
1
8
16
0
8
8
8
18
16
8
16
6
4
8
8
8
8
8
8
8
8
8
8
4
1
1
1
12
12
0
0
16
0
32
32
32
8
8
0
0
16
24
16
16
4
4
4
4
0
16
16
2
2
0
0
2
2
2
2
0
16
0
4
4
8
8
8
20
16
0
0
0
4
4
4
4
24
0
16
8
8
8
16
0
5
5
21
5
5
16
4
0
2
0
0
0
0
1
0
0
1
1
4
0
8
8
8
0
1
1
1
1
1
1
1
1
2
2
8
8
8
9
8
24
4
8
8
8
0
2
2
0
8
8
0
8
8
12
1
1
1
8
8
8
40
8
8
2
8
4
4
4
4
4
0
9
9
9
8
1
4
2
4
24
2
8
8
1
1
1
1
1
1
8
4
4
8
8
8
8
0
29
2
0
0
8
32
32
32
16
16
1
16
16
32
16
9
16
8
8
8
8
8
1
1
1
1
1
8
0
0
0
0
0
0
0
24
16
1
17
17
18
16
16
16
32
8
8
16
4
8
8
8
0
0
4
4
4
1
1
0
0
0
16
28
16
16
16
0
0
0
8
0
0
8
8
0
0
16
12
1
1
1
8
8
16
16
16
8
11
1
8
8
8
0
16
21
21
21
16
16
16
24
8
0
0
0
8
3
3
3
0
0
0
16
8
8
0
1
24
16
16
8
0
0
0
0
4
4
5
18
0
0
16
8
24
4
4
4
4
4
4
8
8
0
16
0
0
16
1
1
1
16
16
16
1
16
18
16
1
32
32
32
32
8
8
8
8
8
8
4
8
2
10
0
0
0
16
18
16
16
8
8
8
32
32
4
4
8
8
16
8
8
57
16
0
0
0
0
0
0
0
0
16
16
24
24
9
9
0
8
8
8
16
16
16
32
8
8
16
16
16
0
0
0
8
8
8
0
0
0
8
16
16
0
16
16
24
16
16
16
16
1
16
8
0
8
8
0
0
16
16
4
0
0
0
48
48
48
48
48
48
8
8
0
1
1
16
0
0
24
0
0
0
0
0
0
13
8
8
48
1
1
1
1
0
32
32
32
32
0
0
0
8
24
16
18
18
8
8
0
0
24
24
16
16
1
0
0
0
0
16
16
16
2
4
0
0
0
0
0
16
16
16
0
0
8
8
8
8
8
16
16
16
16
16
0
0
9
9
9
9
9
9
9
8
8
8
8
56
16
8
32
16
16
8
8
8
0
0
0
24
24
4
4
4
4
16
0
16
16
1
4
4
8
8
8
8
8
8
0
2
2
4
4
4
4
8
8
8
8
4
4
4
4
4
4
4
1
16
16
1
1
16
16
10
8
8
16
3
0
8
16
4
0
8
8
8
8
2
16
16
16
0
0
0
0
0
1
8
0
0
8
8
8
0
12
2
2
2
2
2
2
0
0
8
20
4
0
8
0
8
8
1
1
8
8
32
32
32
32
5
5
0
2
2
0
0
4
16
0
8
8
8
4
16
4
4
18
16
4
4
4
32
48
0
0
8
8
8
17
2
8
28
1
16
0
10
24
0
0
0
8
8
0
16
24
0
0
0
0
0
0
8
0
0
4
0
8
8
8
16
16
16
16
16
16
8
8
8
8
16
16
16
8
8
8
16
0
0
0
16
16
0
16
16
0
0
0
0
0
8
8
8
8
0
0
0
0
0
0
0
0
0
0
16
16
8
16
16
16
16
2
0
0
8
8
16
16
16
8
4
0
0
0
0
0
0
0
50
51
9
8
8
8
0
0
8
40
16
16
16
16
16
16
8
8
8
8
0
4
0
0
0
8
38
8
8
8
0
16
8
16
4
0
2
2
0
1
4
0
0
1
8
0
0
0
0
0
0
0
0
20
6
20
8
8
8
8
2
0
8
0
0
0
1
1
1
1
1
16
4
4
40
40
1
17
1
1
16
2
2
2
2
2
2
2
8
8
4
8
8
0
0
2
2
2
1
1
36
32
8
8
8
8
18
18
0
4
4
4
4
4
0
0
16
16
16
16
16
8
1
1
1
0
33
1
1
1
1
13
13
13
16
8
0
0
12
8
16
0
0
0
0
0
0
0
8
8
8
8
8
8
0
0
1
0
8
32
32
32
32
32
32
16
16
16
16
8
0
0
16
16
19
8
0
0
1
0
8
8
8
8
8
4
8
8
4
4
4
4
1
8
2
2
2
2
2
2
8
8
0
0
16
16
4
4
4
4
0
0
1
16
20
20
4
0
8
8
0
0
2
2
2
0
16
16
4
4
4
8
8
0
8
8
0
4
8
8
0
0
0
4
4
4
4
40
32
32
0
0
1
0
0
0
0
9
8
0
1
1
1
1
1
1
1
8
8
0
16
16
2
16
0
8
8
0
0
18
8
0
0
8
8
8
1
1
1
8
16
16
2
2
2
2
1
0
8
8
8
0
2
2
0
0
0
2
0
8
8
16
8
8
8
8
8
0
0
8
8
8
2
4
16
0
0
8
8
8
2
2
16
16
16
16
0
0
0
0
24
0
16
16
8
0
4
2
4
4
4
0
0
8
8
8
8
4
4
4
4
4
4
4
4
4
4
0
8
8
8
8
8
0
16
8
0
0
0
0
0
8
8
4
4
0
1
4
4
4
0
0
0
8
16
16
8
16
0
16
0
0
8
8
8
8
16
16
16
8
8
16
16
16
16
16
11
16
16
16
8
8
8
0
8
8
8
8
22
22
22
22
22
1
1
16
16
8
10
0
0
8
0
16
0
0
0
0
10
8
8
8
8
0
10
16
0
0
0
0
0
0
0
0
0
0
5
5
16
16
32
32
8
0
0
0
8
16
16
16
8
8
40
40
40
2
8
17
17
17
8
8
8
8
8
8
8
8
16
4
16
4
16
16
16
16
16
16
1
1
1
8
8
8
16
8
8
4
17
0
8
5
2
2
2
2
0
0
0
20
20
8
8
16
25
25
2
4
4
0
0
2
2
8
8
8
16
16
16
16
8
4
4
4
8
4
0
44
44
0
8
8
0
0
0
8
4
4
0
16
16
16
8
8
2
2
2
2
8
8
16
16
0
0
0
8
0
16
8
8
8
8
8
8
16
16
24
12
12
12
12
12
12
16
16
16
9
8
8
8
8
8
8
8
0
0
1
1
16
16
0
0
0
0
16
0
0
24
8
0
0
0
0
8
0
0
0
1
0
0
0
0
0
0
0
4
1
1
1
0
0
0
1
1
1
1
1
1
8
8
0
0
16
16
1
1
0
0
0
8
4
4
4
24
16
16
0
0
0
1
1
1
1
1
1
8
0
0
8
8
8
8
16
16
16
24
16
0
0
24
24
0
1
1
1
24
8
16
16
8
0
0
8
8
8
8
8
8
0
16
16
8
8
8
16
16
0
1
9
1
1
1
9
8
8
8
8
8
8
8
8
16
16
16
16
16
0
0
24
8
0
0
0
4
4
56
24
24
24
0
32
18
18
0
2
0
16
8
0
32
32
2
0
2
2
0
8
0
8
16
16
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
32
32
32
16
8
8
8
8
2
2
4
0
16
0
0
0
16
8
8
0
0
0
0
8
8
8
8
2
37
17
17
8
8
8
8
8
2
2
8
16
28
8
0
8
8
8
16
16
17
10
10
10
0
0
0
0
0
0
24
2
2
8
18
16
16
16
16
18
16
16
8
8
1
1
0
0
16
2
8
8
0
8
0
8
8
8
16
16
16
0
8
8
0
8
16
16
16
16
16
16
16
16
16
16
1
0
0
0
20
20
16
26
26
0
0
0
4
8
22
22
22
8
0
8
32
17
17
0
0
1
1
1
1
4
8
8
8
0
0
0
0
1
1
0
0
0
0
0
32
8
8
8
4
16
16
7
7
0
11
11
1
1
1
0
0
0
16
8
8
8
8
8
32
1
12
6
6
6
2
2
2
2
2
0
0
0
8
8
8
16
16
16
18
18
18
0
0
8
8
8
0
0
0
0
0
16
16
4
4
4
16
16
8
0
0
0
8
16
0
0
0
16
16
4
4
4
4
4
4
1
8
0
8
16
32
32
0
0
0
0
0
0
0
0
0
0
8
8
16
16
2
2
2
1
1
0
0
0
0
12
0
0
0
0
24
16
0
0
0
0
0
0
0
0
0
16
16
16
4
8
8
8
8
8
16
1
2
16
2
2
16
16
8
16
16
4
4
4
0
8
2
0
0
0
0
8
24
16
16
8
20
14
14
4
4
4
4
4
4
4
4
4
8
1
0
0
1
0
0
16
49
48
48
8
8
8
8
16
20
16
32
32
32
32
0
0
0
16
16
16
16
16
0
16
16
16
16
16
18
22
4
1
16
0
16
1
1
1
1
1
1
0
8
8
8
8
24
16
8
8
8
8
8
8
16
16
16
8
0
2
16
16
16
16
16
16
16
8
16
16
16
16
16
0
0
20
20
24
16
1
8
0
0
8
2
2
2
2
48
20
20
20
1
1
1
16
0
4
0
0
0
0
0
0
0
0
0
1
1
0
4
4
0
16
16
16
0
0
0
0
16
16
4
16
4
0
8
16
0
0
8
8
8
2
16
0
16
8
24
24
2
2
8
16
16
16
16
16
16
0
0
8
8
4
8
12
12
12
18
18
18
0
0
8
8
24
24
16
16
8
0
0
8
8
0
24
8
1
0
8
0
0
16
2
2
2
0
8
8
16
8
8
16
9
16
16
16
16
0
8
0
0
0
8
0
2
8
8
8
16
32
8
8
4
1
0
8
2
10
0
0
8
8
8
8
8
8
16
16
16
16
0
0
0
0
16
0
0
2
0
8
8
4
0
0
0
8
0
0
20
20
0
0
16
16
16
16
16
8
8
0
8
8
16
8
0
0
16
16
0
0
0
0
8
57
32
8
16
16
16
0
0
0
0
2
0
0
16
16
16
1
2
6
8
8
8
16
0
16
16
40
8
8
8
0
0
0
0
0
8
8
8
8
16
16
0
0
8
2
2
0
8
8
16
16
2
2
2
0
0
8
0
0
0
0
0
4
4
16
6
16
56
16
1
16
16
16
0
0
0
60
8
8
8
8
8
32
1
9
1
2
2
2
24
16
16
8
1
1
8
8
0
16
16
16
16
16
16
24
0
16
16
16
0
4
4
12
12
12
12
12
16
16
16
0
12
12
12
12
12
12
0
1
1
1
1
8
8
1
0
24
8
8
16
9
0
0
0
16
16
16
16
16
16
16
16
4
4
0
2
16
0
16
0
0
0
36
36
0
16
16
54
4
4
4
4
4
4
0
8
20
12
12
0
1
0
16
16
0
0
8
8
8
8
8
16
8
8
8
8
8
8
28
16
16
8
8
8
8
8
8
0
32
4
18
16
16
16
16
16
16
16
0
16
0
0
1
4
2
2
2
2
4
16
8
0
0
1
8
8
0
0
0
8
8
0
24
8
8
8
0
0
0
16
16
16
0
0
0
4
4
0
0
20
16
0
0
0
0
2
16
16
8
8
8
0
1
0
16
16
16
1
4
4
16
8
8
16
19
19
8
8
8
8
0
4
4
4
4
4
0
32
32
1
1
8
4
8
8
16
8
1
0
16
16
16
8
8
8
8
8
8
8
8
0
0
8
8
8
0
16
16
4
1
1
4
8
8
8
12
16
8
8
8
0
2
8
8
8
4
4
8
0
0
16
16
16
0
32
8
16
17
16
0
2
8
8
16
8
8
16
16
16
16
16
32
0
16
16
16
4
16
8
4
4
4
0
0
1
16
8
8
8
8
4
4
0
0
0
0
0
0
8
8
1
16
16
16
16
16
0
0
8
8
0
0
16
16
0
2
2
1
1
16
16
19
1
1
1
19
36
36
0
0
52
52
8
8
16
0
8
0
0
0
8
0
8
8
4
4
8
8
0
16
16
16
2
2
24
0
8
8
17
17
17
17
17
17
17
17
0
4
12
8
8
13
13
13
13
24
4
0
8
0
0
16
16
16
16
2
2
0
0
0
0
0
0
9
25
1
0
0
16
1
0
0
1
1
18
0
8
20
10
10
16
16
0
2
4
4
8
8
8
0
2
20
16
16
52
48
0
0
0
8
8
2
0
0
9
9
9
8
8
8
16
6
8
0
8
8
0
0
8
0
8
8
8
0
16
4
8
8
8
8
8
8
2
2
2
2
2
2
0
0
16
49
4
0
1
8
0
30
30
30
2
2
0
0
16
16
0
16
16
16
16
16
0
0
0
8
8
8
0
0
26
0
0
0
0
0
0
16
16
16
16
16
4
2
2
2
2
2
56
0
8
12
8
8
8
8
8
0
0
16
16
8
0
0
0
0
8
8
8
16
16
1
0
0
0
8
0
1
0
0
0
4
8
8
8
40
16
8
0
0
4
24
2
2
0
4
4
0
2
2
2
0
0
8
8
8
8
4
16
16
16
8
16
16
8
8
8
1
1
8
0
9
1
1
26
26
4
8
0
0
0
0
0
32
0
2
2
2
8
0
0
0
1
1
3
0
0
0
16
16
1
16
0
4
4
4
8
2
2
8
4
16
16
16
16
0
0
8
8
0
0
16
8
16
16
16
16
16
48
16
8
8
8
0
9
9
8
8
8
18
0
0
0
0
2
2
2
56
56
56
4
16
4
20
1
32
32
8
8
0
0
16
0
40
0
28
0
16
2
2
2
2
0
8
8
8
8
16
8
8
1
8
8
8
7
8
1
5
16
16
32
1
0
24
24
0
1
8
16
16
16
16
1
0
0
16
16
16
16
16
16
16
8
16
16
8
8
8
8
8
8
8
8
0
35
35
32
32
32
32
1
17
8
0
0
0
0
1
1
1
1
1
4
16
1
0
24
8
4
52
52
8
8
8
29
29
29
9
0
0
0
0
0
0
0
0
0
0
0
0
8
0
8
4
4
8
0
33
0
0
8
8
8
8
16
0
4
4
16
16
16
0
0
0
8
2
2
2
0
8
8
16
16
16
8
1
8
8
8
8
8
0
16
16
16
16
16
16
0
0
16
16
16
16
8
2
16
16
16
0
0
16
16
32
32
32
32
32
32
32
16
8
8
8
8
0
8
8
8
20
20
0
16
48
16
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
16
16
8
8
16
16
32
16
0
0
0
0
56
56
16
16
16
16
16
4
4
8
0
0
0
0
0
0
8
1
16
24
4
1
0
0
0
0
0
0
9
9
0
1
1
26
2
0
0
4
4
4
8
8
8
8
8
8
8
8
16
0
0
0
8
0
32
32
32
48
16
16
16
8
8
8
1
8
8
8
0
16
8
1
1
1
0
4
2
2
18
0
0
16
16
40
8
16
16
8
8
32
32
0
4
0
8
8
16
16
8
8
8
8
8
8
8
6
6
16
16
16
0
2
1
16
0
0
0
8
0
2
2
8
2
2
2
2
2
2
2
2
2
8
22
22
22
4
4
4
4
8
8
8
8
8
8
8
8
8
17
9
0
0
0
0
0
0
16
16
16
32
0
0
4
8
48
32
8
8
8
16
16
16
16
16
0
16
4
8
8
0
8
8
0
0
0
0
0
8
0
8
2
10
4
4
4
4
4
4
16
16
16
0
0
0
2
8
8
0
8
2
2
8
0
0
0
16
4
4
0
0
0
0
4
0
0
0
0
0
18
2
2
2
2
48
48
48
48
8
4
4
4
16
0
16
0
0
24
24
8
1
4
8
8
16
8
1
8
0
0
0
0
8
0
0
8
8
0
3
8
8
24
24
0
0
9
9
9
8
0
0
0
0
0
0
0
8
4
16
48
0
16
16
8
0
0
0
0
8
17
16
8
8
8
8
8
8
16
16
0
0
0
0
0
0
20
0
1
16
9
8
0
0
8
8
8
8
0
8
8
8
4
0
0
16
8
16
16
0
0
2
16
2
8
0
8
16
16
16
8
0
0
8
48
0
0
4
4
4
4
2
2
32
32
32
0
0
16
16
16
16
8
16
3
2
8
8
0
16
8
0
0
0
0
0
0
0
16
16
0
0
16
8
8
32
8
8
2
2
2
0
0
8
16
0
8
32
32
8
8
8
8
8
8
4
4
0
0
1
16
8
8
0
0
2
2
2
16
26
16
10
10
2
0
0
16
8
16
0
0
0
0
0
0
16
1
1
8
8
16
8
8
0
0
6
0
0
0
8
8
8
8
16
16
4
4
0
0
8
0
0
0
0
16
16
16
16
16
16
0
0
16
8
8
12
12
8
8
16
16
16
0
16
24
24
16
18
16
16
0
8
8
8
0
0
8
8
8
16
16
16
0
0
8
8
8
8
8
16
8
0
0
41
32
9
16
24
24
16
16
8
24
0
0
0
8
8
8
8
8
4
8
0
0
0
8
0
0
0
0
0
0
0
1
1
1
8
8
16
16
0
4
4
0
4
0
0
0
1
1
1
8
16
16
16
8
8
8
8
8
8
8
8
24
1
8
8
0
8
8
32
32
32
32
0
26
26
26
16
8
8
8
16
0
16
16
0
6
0
0
4
4
2
2
16
0
8
8
8
8
0
0
0
0
1
1
1
0
0
0
16
26
0
32
32
32
0
16
16
4
2
0
16
16
0
1
1
4
4
5
5
5
24
0
0
0
0
2
2
2
4
0
16
4
0
0
0
0
0
0
8
16
0
0
8
16
8
1
9
0
0
16
0
16
0
0
8
0
32
8
8
8
8
8
8
0
8
16
8
2
2
2
2
2
2
2
0
0
0
4
4
0
8
8
8
8
8
8
8
8
8
0
0
0
16
0
0
0
0
0
0
2
8
32
32
8
1
16
0
0
20
8
8
0
0
0
0
2
0
0
4
21
21
4
32
8
1
1
1
17
16
16
16
16
16
16
16
16
16
12
24
0
0
16
16
8
8
8
8
0
0
8
8
8
8
24
8
8
8
8
8
25
25
16
8
8
8
8
8
8
48
16
25
25
25
25
1
1
1
1
1
20
22
22
2
2
2
5
4
1
8
8
8
0
0
0
0
8
8
8
0
0
0
8
8
0
0
0
1
8
0
8
0
8
1
26
10
8
8
0
0
0
0
16
16
16
16
16
16
16
4
4
0
16
16
16
8
0
0
0
32
32
1
16
8
8
8
8
8
0
4
4
4
4
8
16
16
8
8
8
8
8
52
8
8
8
8
16
16
16
16
8
1
0
16
20
8
8
16
16
16
16
0
1
16
16
16
16
1
20
20
16
16
8
8
8
8
16
16
16
16
16
16
10
2
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
32
32
32
32
8
8
9
0
0
8
0
0
4
4
4
4
4
8
4
4
4
4
8
16
16
16
16
8
0
0
10
8
8
8
8
0
4
4
0
48
32
16
8
8
4
0
0
0
0
0
0
0
16
0
8
8
0
0
10
10
8
8
8
8
1
8
8
8
0
0
0
0
0
0
24
32
34
0
8
8
0
0
1
1
0
0
0
8
24
16
8
8
8
0
0
8
8
8
16
8
16
8
8
32
0
8
8
0
0
20
20
20
20
0
0
8
8
0
4
0
32
16
16
32
0
0
8
13
13
0
0
5
17
17
0
16
16
16
0
0
0
0
0
8
0
40
40
40
0
0
8
8
8
8
8
0
0
0
8
8
24
0
0
20
8
4
1
8
8
0
0
8
4
4
1
1
16
13
1
8
8
8
8
16
16
8
8
8
8
16
20
4
18
4
0
31
8
0
16
16
8
0
1
11
1
1
1
1
1
1
8
8
8
4
2
2
2
2
8
34
0
8
8
8
16
16
16
1
1
1
8
0
0
0
8
24
16
16
16
4
0
2
16
1
1
8
8
8
8
16
0
8
0
0
4
8
3
0
0
8
0
0
8
8
2
0
4
8
8
0
0
8
8
8
8
8
8
8
0
0
8
8
16
0
0
0
20
20
20
4
1
16
8
8
8
0
8
8
8
16
16
16
36
16
16
28
28
28
28
28
28
28
16
4
4
0
0
0
16
16
16
16
8
8
0
4
20
4
20
20
24
8
8
1
1
16
0
8
8
8
0
0
0
8
0
0
1
1
1
1
24
8
8
0
0
49
33
33
17
16
8
16
16
16
16
16
8
0
0
0
0
0
0
0
0
8
0
0
0
8
2
2
4
4
4
32
8
0
0
0
0
0
1
1
1
8
24
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
8
8
8
16
16
16
1
8
0
8
8
0
8
32
32
32
32
0
8
0
0
20
16
16
16
16
1
0
0
8
2
0
0
0
0
0
0
2
2
8
8
1
16
16
0
0
1
0
16
16
16
16
18
18
18
18
16
24
8
16
16
8
8
0
20
4
0
8
8
18
0
0
0
0
0
1
1
1
1
0
0
0
8
12
16
0
0
0
0
0
0
0
24
0
0
0
0
32
16
16
4
21
5
16
16
16
16
24
24
24
4
4
4
4
0
8
16
16
8
0
18
19
1
2
8
8
8
0
8
8
8
8
8
8
0
1
0
14
8
8
8
8
8
8
0
16
1
0
0
8
8
8
4
0
0
0
0
0
0
0
0
9
1
1
1
1
1
1
1
8
4
16
0
8
8
18
1
0
17
8
8
8
0
0
0
8
8
8
0
16
8
8
8
8
4
16
16
8
8
8
16
0
16
0
0
0
8
0
0
0
4
4
4
16
16
0
2
1
1
8
32
16
16
16
16
4
4
8
8
8
0
12
16
16
0
0
0
1
1
0
0
0
2
2
2
2
8
8
8
16
16
16
16
8
8
8
8
8
0
12
8
8
16
16
12
0
2
2
2
16
16
16
0
0
29
29
29
8
8
8
0
0
8
8
4
4
4
16
16
16
16
8
0
0
0
16
8
49
2
2
16
16
16
16
0
0
8
8
8
8
8
8
0
0
0
0
0
8
0
8
16
16
8
8
48
48
24
8
8
4
4
4
4
4
0
0
2
17
17
17
24
0
0
32
32
40
8
8
8
9
8
8
16
16
0
0
8
8
8
4
8
8
2
1
1
1
0
2
2
2
18
16
0
0
4
2
2
0
0
0
0
0
12
12
12
48
48
48
1
1
0
8
16
16
0
32
0
4
4
2
0
8
8
16
16
0
0
0
25
1
25
25
1
1
0
1
1
16
2
16
16
16
16
2
0
8
8
0
16
16
16
16
16
24
24
24
24
12
0
1
1
0
0
0
9
9
9
0
0
8
8
8
0
0
0
32
32
32
32
8
1
18
18
18
18
18
18
16
25
25
16
16
2
2
8
8
32
8
8
1
0
1
1
8
8
8
8
8
0
48
48
48
48
8
12
12
16
16
16
16
6
2
4
4
0
0
0
0
8
8
8
8
8
8
0
0
4
4
16
16
40
40
0
4
8
8
0
8
8
8
8
8
0
8
8
8
8
24
16
16
16
16
3
2
8
8
33
0
4
0
8
8
16
16
16
8
0
0
0
8
4
4
4
0
0
0
8
8
8
0
8
0
8
16
16
41
41
4
4
0
0
8
8
2
32
16
16
16
4
8
8
8
8
8
0
16
16
16
16
16
16
0
0
1
1
1
16
3
3
3
19
4
4
8
4
0
16
16
0
2
0
0
0
8
8
8
16
16
25
8
1
1
1
0
16
24
16
16
8
16
16
16
16
16
0
0
0
0
0
8
8
8
4
4
4
4
4
4
4
16
12
4
4
4
10
8
4
4
4
4
4
8
8
0
8
8
0
16
8
16
16
8
0
0
1
8
8
8
0
8
8
8
8
8
8
8
0
8
8
8
8
16
16
21
21
20
8
0
1
1
1
1
1
1
0
16
8
8
4
0
0
16
0
16
16
25
25
25
8
8
8
8
8
8
8
1
27
8
8
8
8
8
8
8
2
18
17
16
0
24
16
16
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
48
16
0
0
4
20
4
4
2
16
0
0
0
0
8
0
0
0
0
0
0
32
32
0
0
16
16
9
36
36
36
2
2
8
32
0
0
0
20
8
8
8
8
8
4
18
2
16
0
8
0
0
41
8
2
8
8
16
16
16
16
16
3
2
16
16
2
2
10
16
16
0
16
40
0
8
8
0
1
16
16
10
0
0
0
16
16
16
16
16
0
8
16
8
16
16
16
16
0
4
0
0
0
8
8
16
16
4
0
16
16
32
2
2
36
4
4
4
4
8
0
8
16
8
8
8
8
8
0
0
8
9
8
8
28
4
4
16
16
8
16
16
0
0
0
4
0
0
0
0
0
0
0
2
18
8
0
0
8
16
16
16
0
0
12
12
0
0
8
0
16
24
8
0
0
0
1
1
0
8
8
8
0
8
8
8
16
16
16
16
16
0
0
0
16
0
4
30
0
8
16
16
48
48
48
1
1
4
4
0
28
0
8
8
0
0
8
8
8
4
8
8
8
16
8
8
32
32
32
32
16
0
8
22
8
8
8
0
0
0
0
0
0
2
16
16
16
8
8
4
0
0
0
0
1
1
1
16
8
36
52
0
8
16
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
8
8
8
8
0
16
12
8
8
8
16
16
4
4
0
0
0
8
8
8
8
8
48
1
0
2
4
8
8
8
2
2
1
16
0
9
9
9
9
16
16
16
0
16
16
16
8
0
8
8
8
0
0
8
1
10
10
16
10
2
0
8
8
16
8
4
2
2
0
4
4
36
8
40
2
10
0
4
0
8
8
8
8
16
16
16
16
2
2
32
32
0
1
1
1
8
4
4
4
4
47
4
12
4
2
8
8
8
24
2
2
2
2
2
16
16
1
8
8
8
8
8
8
8
0
0
24
24
4
4
4
4
4
0
16
16
0
16
3
16
16
0
16
8
8
8
0
2
2
8
8
0
16
0
4
4
8
8
8
8
0
8
8
0
0
0
8
8
8
0
0
0
16
16
1
3
8
8
8
8
0
8
1
8
8
8
0
1
1
0
8
8
7
0
8
0
0
0
0
0
20
20
20
16
16
16
0
0
0
16
8
8
8
18
1
17
0
16
16
4
4
8
40
0
0
0
16
16
16
16
16
16
1
1
1
0
0
16
16
16
16
16
16
0
8
4
4
4
4
4
4
0
18
18
18
4
32
36
8
0
0
17
8
0
4
4
8
8
8
8
2
2
8
1
1
1
9
4
57
8
8
4
4
4
4
0
0
28
10
10
0
8
0
0
8
16
16
16
16
16
16
8
8
8
8
8
8
8
3
8
0
16
16
16
8
8
8
0
2
0
0
0
8
8
8
8
1
0
4
4
4
0
8
8
16
16
16
16
16
16
0
4
20
8
16
16
16
16
16
32
32
32
32
32
0
0
1
1
1
8
0
0
0
1
4
4
4
4
4
4
4
0
0
0
0
0
4
4
2
0
0
0
0
1
1
1
0
0
0
0
0
20
0
0
0
0
0
1
58
32
32
32
8
0
0
16
16
16
16
0
2
2
2
1
1
1
16
16
16
24
24
16
0
16
4
8
8
8
8
8
2
1
1
4
16
8
16
8
32
16
1
0
8
8
36
0
0
0
0
0
0
4
0
8
8
0
0
0
0
2
2
0
0
0
0
4
4
32
16
16
16
16
16
0
0
0
0
1
1
32
32
8
8
0
0
0
0
32
0
9
20
4
0
16
16
16
24
24
16
8
16
8
8
8
0
16
8
8
18
18
18
4
4
4
16
8
8
8
8
8
17
12
12
61
61
61
61
0
0
0
8
16
0
8
0
8
48
48
16
16
16
16
0
0
0
0
0
8
8
0
0
16
8
0
8
8
40
8
8
8
17
17
17
20
16
16
16
16
16
16
16
4
4
0
0
16
16
8
8
8
24
8
8
8
4
0
33
22
8
32
16
8
8
8
0
0
1
1
1
16
8
18
18
8
0
0
16
16
16
16
8
8
8
8
16
16
16
8
16
0
0
44
0
0
18
18
1
16
16
32
16
17
8
8
8
8
8
8
8
1
21
0
0
27
27
27
0
16
0
0
4
4
48
48
48
10
0
0
4
4
4
8
8
8
8
8
8
0
48
0
8
8
8
4
16
16
16
16
1
0
0
3
3
8
0
0
5
1
1
0
33
33
33
33
33
33
8
13
8
6
6
0
16
4
8
2
2
8
4
4
4
4
0
0
8
2
2
45
8
8
8
8
0
0
8
8
8
1
8
8
28
28
28
28
16
16
0
8
2
2
0
0
0
0
0
0
0
0
0
0
16
16
16
0
1
4
48
8
0
8
2
0
8
4
16
8
0
0
8
8
8
8
8
0
0
16
16
0
10
10
10
16
16
8
8
0
8
8
8
0
6
4
4
1
16
16
16
16
16
16
0
25
1
8
24
32
32
8
8
8
8
0
0
16
16
1
1
1
8
8
1
4
4
8
1
8
8
8
8
1
0
0
4
8
8
8
8
8
8
4
4
0
8
8
0
0
0
8
8
8
8
8
8
4
4
0
16
16
0
0
18
16
16
16
16
2
4
0
0
12
4
6
4
8
8
4
4
4
8
8
8
8
8
0
2
2
2
0
8
0
0
0
0
0
32
12
12
12
36
36
36
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
16
16
16
16
8
8
8
8
8
0
0
8
8
8
26
26
26
8
4
0
0
0
0
0
12
32
32
32
8
8
8
0
0
0
24
4
20
33
1
1
8
8
16
16
16
8
8
8
16
0
40
0
0
16
8
0
8
1
0
0
10
16
0
0
0
8
16
16
5
0
8
8
8
16
14
8
8
0
0
8
8
8
0
0
16
0
8
16
8
8
0
16
16
16
0
8
8
8
8
8
8
16
16
51
51
51
51
16
16
16
16
16
0
8
24
16
16
16
8
0
0
0
0
0
4
0
0
0
0
2
8
8
4
4
4
4
4
16
16
16
2
2
1
1
0
0
0
0
24
8
8
0
21
16
8
18
18
32
32
32
0
0
9
1
1
1
0
0
16
8
0
3
8
0
41
33
8
0
4
8
8
8
8
0
24
0
32
2
2
16
8
8
8
16
16
18
16
0
0
0
0
0
0
1
1
0
8
8
8
8
2
0
16
8
0
0
0
0
0
0
16
0
16
16
8
8
8
8
8
0
8
8
8
4
8
0
0
4
4
4
8
8
16
16
0
16
16
16
1
8
8
0
8
8
8
8
32
8
8
8
16
16
0
16
0
8
8
32
32
32
16
16
2
2
2
2
2
2
2
0
32
0
0
8
16
0
8
16
4
4
4
4
2
2
0
4
4
4
4
8
2
2
32
32
16
18
18
18
18
0
0
0
8
8
0
0
8
32
0
8
8
8
32
0
0
0
0
0
16
16
8
16
16
12
12
16
0
16
1
8
0
0
0
0
0
0
8
4
4
8
8
8
8
8
8
8
1
1
4
1
4
4
4
4
0
4
0
0
0
16
0
8
12
2
2
8
2
0
24
24
8
8
8
8
2
0
0
0
16
16
8
40
40
16
16
1
16
16
16
16
16
16
0
0
0
0
0
0
1
8
8
2
1
0
24
16
0
0
25
17
4
16
16
8
0
0
0
4
4
4
4
16
0
8
8
8
8
4
4
16
0
0
16
18
18
4
4
16
16
16
16
8
4
1
0
0
0
24
8
0
16
4
16
16
0
8
8
8
8
8
8
8
2
8
0
0
16
16
16
26
0
8
8
8
8
6
0
48
25
0
16
1
6
6
16
16
16
0
0
8
10
10
16
16
0
18
18
0
2
2
2
8
8
16
16
8
16
16
16
0
0
0
0
0
0
8
5
4
4
16
16
0
1
1
2
2
8
4
28
28
0
0
8
8
0
0
4
8
8
8
4
4
16
9
9
9
0
0
8
8
0
1
1
0
16
8
8
4
4
4
10
0
8
5
8
8
8
8
8
8
8
8
12
8
1
1
1
1
1
0
1
0
25
21
16
17
16
16
16
8
1
17
24
16
0
0
16
8
8
16
16
16
0
0
4
0
16
0
0
6
4
8
44
4
4
0
0
16
16
8
8
8
8
0
0
0
16
16
16
0
0
0
1
1
1
1
0
0
8
8
8
8
16
16
16
8
8
1
1
16
8
32
8
2
2
2
1
0
0
0
0
8
8
16
16
8
8
4
18
18
18
18
18
18
16
16
16
16
16
16
16
0
8
8
8
8
8
8
8
8
16
16
16
0
16
16
16
8
8
8
0
4
16
16
16
16
1
0
0
0
16
16
0
16
0
0
0
0
8
8
8
8
1
1
0
0
0
0
8
16
16
0
0
0
0
16
16
16
16
16
16
16
0
16
16
8
8
1
1
8
16
24
24
8
0
16
32
0
4
4
8
0
16
24
24
16
8
16
16
8
2
2
2
8
0
16
16
16
8
8
8
8
8
0
0
0
8
4
4
2
2
60
4
4
4
4
0
8
8
8
8
0
0
8
24
3
8
3
16
16
4
48
52
52
52
52
4
4
4
4
4
1
1
1
0
2
2
2
2
12
16
12
12
0
16
16
8
8
0
0
0
0
0
8
8
32
16
8
8
8
8
24
24
24
0
8
0
1
8
8
0
0
0
0
41
2
8
8
8
25
1
1
1
0
0
1
1
1
8
0
4
4
8
8
0
0
0
8
0
0
24
24
8
8
8
8
16
0
8
33
8
9
16
16
16
16
16
16
8
0
24
16
8
8
8
8
1
8
8
8
0
0
0
0
1
1
4
0
2
32
0
8
8
8
8
12
48
16
16
16
0
9
9
9
4
4
8
8
8
8
8
8
8
8
8
8
8
8
8
16
16
8
8
1
0
0
0
16
8
8
8
8
6
0
4
4
8
17
0
0
0
8
1
8
18
16
4
8
4
4
4
32
32
12
8
8
8
9
16
16
16
16
20
20
16
27
16
2
0
28
28
16
4
2
0
0
1
0
0
24
8
24
8
2
1
1
1
1
0
0
0
0
32
32
8
8
0
16
16
16
0
0
2
2
16
16
25
0
8
8
0
0
0
8
0
0
0
0
0
0
16
16
16
8
8
0
0
8
8
8
8
8
4
4
12
8
8
0
2
8
2
0
0
0
0
0
4
5
0
8
0
8
8
0
0
0
0
8
8
4
4
4
0
0
0
60
8
8
8
8
8
4
0
8
16
16
16
0
1
1
1
1
0
0
25
25
8
24
16
16
16
16
4
0
16
16
8
1
1
1
32
0
0
0
0
32
24
8
0
0
0
0
10
10
10
0
4
0
16
0
50
32
32
0
0
16
16
16
16
8
16
8
20
20
0
0
2
2
8
8
0
16
16
16
32
32
8
8
0
0
16
16
4
4
0
0
0
0
0
0
0
0
0
0
12
4
4
0
16
9
9
25
8
8
16
16
16
16
16
2
0
0
2
0
16
16
0
0
0
0
0
0
0
16
16
32
4
4
4
16
16
16
4
4
0
0
0
8
8
8
8
8
8
20
20
32
24
24
1
4
4
0
1
0
0
0
0
0
24
16
16
0
0
0
28
8
32
0
0
0
16
16
8
16
16
0
2
2
2
2
2
8
8
24
9
9
9
0
0
0
8
8
8
8
0
4
4
0
8
24
4
8
8
8
8
3
1
1
0
1
8
8
16
16
16
14
16
8
8
0
16
16
16
16
1
8
8
8
8
16
16
1
0
16
9
25
16
16
16
0
3
2
8
8
0
4
0
4
4
0
0
2
8
0
24
24
24
0
0
0
16
0
0
0
8
0
17
17
17
0
8
8
24
24
16
8
1
17
20
24
24
24
24
8
10
0
0
0
0
0
8
34
0
0
0
0
0
1
1
1
0
0
0
0
8
8
8
8
16
16
0
0
0
16
1
1
8
2
8
0
0
0
0
8
8
8
8
8
4
4
4
20
24
8
8
2
2
2
2
16
16
16
4
4
4
16
16
16
32
32
0
0
16
16
16
16
16
16
16
0
0
0
20
4
4
4
4
8
8
4
4
8
8
8
8
8
32
0
16
16
0
0
0
8
8
8
16
16
16
16
8
8
0
20
16
0
8
8
8
8
0
16
4
0
0
1
0
16
16
16
16
0
0
16
0
0
0
0
0
8
8
8
0
0
0
0
0
8
8
16
8
16
8
8
16
16
20
59
16
0
0
1
3
0
0
0
0
8
8
16
0
8
8
16
16
16
8
8
8
1
1
1
1
18
18
8
8
8
8
0
0
8
8
0
3
16
8
16
16
4
4
24
16
16
16
16
16
8
8
0
0
8
8
8
18
1
0
0
0
4
0
16
8
8
4
8
8
8
0
12
12
4
4
4
17
17
17
32
32
32
32
0
8
8
32
32
32
32
32
32
32
32
8
24
1
0
0
16
8
8
4
8
16
32
1
1
1
2
8
8
8
4
4
0
0
0
0
16
0
0
0
0
8
8
8
8
32
0
0
32
32
24
24
24
24
2
2
0
52
52
52
52
52
2
2
0
1
1
1
1
1
8
8
8
0
8
8
8
8
32
8
0
4
8
2
32
2
2
2
48
16
16
0
0
0
4
4
8
0
0
1
1
1
0
8
8
24
0
0
24
24
0
3
19
8
8
1
24
24
8
0
16
16
16
0
8
8
8
0
16
16
1
8
8
12
12
2
0
18
16
16
16
1
1
0
0
16
16
4
16
16
16
0
0
0
16
8
8
8
8
8
8
2
0
16
16
29
1
16
24
24
8
8
0
0
2
0
20
34
8
8
8
8
8
8
8
16
16
16
16
21
16
56
56
56
56
48
8
4
4
4
4
16
16
0
1
1
1
1
1
8
2
2
2
8
8
24
16
16
0
8
16
16
8
8
8
8
12
8
8
8
8
24
0
0
0
18
8
16
8
0
0
1
8
8
8
1
8
8
8
8
8
1
1
1
8
18
18
8
8
8
1
2
5
5
8
8
8
0
1
8
44
44
44
0
0
0
0
0
16
4
16
4
4
0
0
0
1
9
8
4
4
16
14
0
8
0
0
8
8
0
5
5
4
0
12
12
0
16
14
30
8
8
8
8
0
16
16
16
16
16
60
60
60
8
8
8
0
0
16
0
8
8
8
20
20
8
8
8
8
0
2
8
8
8
0
0
0
0
0
16
16
8
8
16
16
16
16
4
18
18
8
8
8
8
4
4
0
24
8
8
24
24
0
0
8
8
0
4
4
4
8
8
16
24
24
0
8
8
8
8
0
0
4
4
4
4
17
8
8
48
16
8
7
16
8
8
0
0
0
0
0
16
20
11
11
11
0
0
0
0
0
0
0
16
16
16
16
16
0
8
8
8
8
12
12
12
0
0
1
1
8
8
16
16
8
8
0
16
1
1
1
1
1
1
4
4
4
16
24
24
24
16
16
16
8
8
8
8
0
0
16
16
2
2
32
0
2
16
16
18
16
4
4
0
0
0
0
0
0
0
0
0
0
0
4
16
16
32
8
32
0
0
8
8
8
8
32
2
2
2
2
2
4
4
4
4
4
0
0
0
4
0
4
4
1
0
1
16
16
8
8
8
8
0
2
2
2
8
8
2
2
18
18
18
8
8
8
16
0
0
24
8
1
1
16
16
0
8
8
8
8
1
1
0
1
1
1
1
1
32
8
0
0
6
6
0
0
0
0
4
16
4
28
28
1
1
1
1
8
8
14
14
0
4
0
8
16
0
16
8
8
8
8
8
8
8
8
8
0
2
8
8
0
32
0
4
4
4
8
8
8
8
8
8
16
16
16
16
16
8
8
2
2
2
16
25
25
25
4
0
0
0
0
0
16
16
16
16
0
0
0
4
12
0
8
8
8
16
16
49
49
16
8
16
0
8
8
20
16
8
8
0
0
9
18
18
18
1
1
8
4
4
24
32
8
16
16
16
16
0
0
16
16
16
16
34
34
34
16
8
8
0
0
1
1
1
1
17
0
0
8
8
8
8
8
8
8
8
8
8
8
1
1
24
6
2
2
8
16
20
20
8
8
8
16
32
12
0
0
0
0
6
6
6
6
6
0
8
20
20
16
0
0
12
0
8
0
16
4
4
4
2
6
6
6
6
4
8
12
8
8
8
0
0
0
0
0
16
16
16
0
38
38
8
8
0
0
0
20
12
8
4
4
4
4
4
4
16
16
16
1
0
0
1
1
0
0
16
1
0
0
1
1
16
16
16
16
0
0
8
8
1
1
1
16
16
16
0
0
0
1
17
17
1
8
4
8
8
8
0
1
4
4
0
16
8
0
1
1
20
20
0
0
0
8
8
8
8
8
0
0
24
16
0
0
0
21
21
1
16
16
16
16
8
8
8
16
32
32
2
8
8
8
0
4
12
0
8
0
0
8
8
1
1
16
0
0
9
1
4
2
8
8
0
16
8
0
0
8
0
0
21
16
16
16
16
0
4
4
4
4
4
1
0
0
0
0
40
32
8
8
8
8
8
4
4
8
8
24
24
8
16
16
24
22
22
22
22
2
8
0
0
8
8
0
0
16
24
2
2
2
2
2
0
1
16
16
1
1
0
0
0
8
8
8
16
8
8
8
8
0
8
8
16
0
0
0
0
0
0
0
0
16
0
8
8
17
17
17
17
8
0
0
16
16
0
4
8
8
32
0
0
4
4
2
8
16
8
28
8
4
16
4
20
20
0
0
0
8
0
0
26
26
26
2
17
1
16
16
0
8
8
8
4
4
4
16
16
4
20
20
20
2
0
2
2
2
2
2
8
8
8
8
8
8
56
56
56
56
24
17
0
0
0
0
0
8
8
8
8
8
8
0
0
8
8
0
4
0
0
0
8
0
0
0
8
8
0
0
0
43
1
9
9
0
16
16
0
0
0
0
8
0
0
0
0
8
8
0
2
2
8
8
8
16
8
8
8
8
8
8
0
0
4
4
8
0
20
20
20
20
0
0
0
0
0
16
16
4
8
8
8
2
1
1
8
0
16
16
16
16
16
16
16
16
2
2
2
28
28
28
28
0
0
9
16
16
1
2
26
8
0
0
18
0
0
0
0
0
0
4
0
16
0
0
0
0
24
8
8
0
0
0
0
16
0
0
0
16
16
8
16
2
8
10
2
0
8
8
8
8
8
8
8
8
8
1
40
40
8
8
8
8
2
2
24
4
4
4
16
8
9
0
0
0
1
1
0
0
16
1
8
8
8
8
0
0
0
1
1
1
0
20
1
0
25
25
8
16
0
0
8
8
0
8
8
8
8
16
0
0
0
16
4
0
16
17
1
2
0
2
10
2
24
2
48
32
16
16
0
0
0
0
0
24
9
0
1
1
8
4
4
4
8
8
8
22
8
8
8
8
8
0
0
0
11
11
0
8
8
8
16
12
12
8
8
8
0
32
32
32
32
16
0
24
2
0
24
8
16
16
1
16
2
0
24
8
8
8
0
8
8
8
8
2
2
2
2
0
0
0
0
49
8
8
8
8
8
4
2
2
2
2
2
10
10
10
32
4
1
0
8
8
16
13
13
8
8
8
8
8
8
20
0
0
8
8
8
1
8
16
16
4
4
16
16
16
16
0
8
8
8
0
8
8
12
12
8
8
8
0
16
8
1
1
16
16
16
16
16
16
0
0
0
0
0
0
0
16
8
8
0
30
16
16
16
16
16
16
16
0
8
24
4
0
20
48
48
48
8
20
0
0
0
1
16
24
0
0
0
0
0
8
41
8
16
18
32
2
2
2
2
2
2
8
4
4
8
16
16
16
1
0
12
12
2
2
2
22
22
2
8
8
4
16
32
32
32
32
8
2
16
16
16
0
0
0
0
16
16
24
0
16
0
40
40
0
8
8
8
8
17
4
8
8
8
8
8
0
8
8
8
8
0
18
18
5
5
1
16
41
8
0
8
0
0
0
0
8
8
8
8
8
16
16
0
0
0
8
4
4
8
8
8
8
16
2
0
8
0
8
0
8
2
2
4
16
16
0
0
1
1
1
1
0
24
8
8
8
0
16
8
9
24
16
8
8
0
1
0
0
24
0
0
0
0
0
12
12
12
4
16
0
8
16
8
8
8
8
4
36
32
8
8
8
16
8
8
16
16
4
4
8
16
0
0
8
1
8
8
17
1
1
1
8
8
16
0
0
0
0
0
8
0
2
4
46
4
4
16
16
42
42
0
0
8
0
0
8
16
2
48
0
0
17
17
0
16
16
16
16
4
4
4
16
16
16
16
16
1
1
8
8
8
8
8
0
0
0
0
8
8
8
8
8
8
4
4
0
0
0
0
0
0
2
9
0
0
24
8
16
8
16
16
8
8
0
0
16
16
16
16
16
16
0
24
24
16
8
1
16
16
8
8
1
1
0
0
2
8
0
16
1
0
0
4
4
4
0
0
0
8
0
0
8
8
0
8
8
8
8
8
20
1
16
8
8
0
0
0
0
16
16
16
16
16
16
16
16
8
25
25
0
16
1
0
0
0
0
0
0
8
8
15
32
0
0
0
0
0
0
0
0
0
4
8
1
1
0
2
8
8
8
0
0
8
40
40
0
9
0
0
0
0
0
8
1
8
4
0
16
0
0
8
0
0
0
2
1
16
16
0
0
0
8
10
8
1
0
32
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
18
18
2
1
16
8
16
1
1
1
8
0
8
8
0
0
0
0
0
0
0
0
0
8
8
8
8
8
0
16
16
2
10
8
8
8
8
8
0
0
16
8
2
0
8
0
4
1
16
16
16
16
1
17
16
16
16
8
8
8
0
0
0
0
0
8
8
24
0
16
16
8
4
4
4
0
36
8
8
8
8
8
25
8
4
0
0
0
16
16
16
8
1
16
0
26
1
1
0
9
0
0
0
0
8
16
16
16
0
8
0
9
9
9
9
16
0
0
0
2
16
30
8
8
8
9
8
8
8
0
8
8
4
4
4
8
0
0
8
40
21
16
0
0
0
0
0
0
0
0
0
24
8
2
2
9
16
16
8
8
0
32
32
4
4
6
8
1
2
8
8
24
32
32
32
32
32
32
12
8
8
8
0
0
16
8
16
0
0
16
1
1
1
1
4
4
4
4
0
16
16
8
8
0
24
24
24
8
8
8
8
8
8
8
12
12
1
1
1
8
0
0
16
1
16
0
8
8
8
8
8
8
8
8
8
8
8
8
12
4
14
2
0
2
20
8
8
0
0
8
0
0
0
8
8
0
2
1
35
0
0
0
8
8
16
8
8
0
12
12
4
16
8
0
0
0
0
0
32
8
9
9
9
9
1
1
18
2
2
8
8
8
8
0
0
8
8
8
8
0
0
1
1
1
1
1
16
16
1
1
1
1
1
0
4
8
24
16
16
4
6
0
0
22
22
22
2
1
8
16
16
0
0
1
8
8
8
0
0
8
0
8
0
16
16
16
16
16
16
16
16
0
8
8
8
8
8
8
8
8
10
16
8
0
0
8
8
4
4
8
0
24
6
6
8
8
4
8
2
2
8
8
4
4
4
0
16
0
8
8
8
0
0
8
8
8
8
8
8
8
8
8
0
4
16
4
4
16
16
16
16
0
0
0
0
0
4
4
0
8
8
16
48
16
16
35
0
0
0
0
0
8
0
8
8
8
8
1
5
16
16
16
16
24
8
0
1
2
1
1
1
0
0
8
12
1
1
1
1
2
8
8
8
0
4
4
4
4
12
4
4
0
8
0
0
8
16
16
24
16
16
8
2
0
0
32
16
16
2
2
0
4
4
0
20
0
0
0
1
1
1
1
1
1
8
24
8
48
0
16
16
16
8
8
0
24
24
16
2
0
16
16
0
0
2
8
24
24
1
8
16
16
0
0
0
24
24
16
16
16
0
0
8
8
8
8
8
16
16
0
0
10
8
2
0
0
0
0
8
8
8
4
4
4
8
8
0
0
20
16
16
0
32
32
0
1
1
8
8
8
0
8
0
16
16
16
0
0
8
8
0
8
8
9
9
0
32
1
0
0
8
16
4
4
4
4
0
1
1
32
8
1
1
8
10
16
16
8
0
16
16
16
16
16
0
0
0
0
1
1
8
1
1
4
4
24
8
4
4
4
9
1
1
1
8
8
8
0
0
1
8
8
8
0
0
0
0
16
16
16
0
24
24
1
1
24
16
16
2
32
2
2
4
0
16
2
2
16
8
16
16
16
0
8
8
8
16
16
16
16
8
8
8
8
0
24
8
0
0
8
16
16
16
2
8
8
8
8
4
0
16
16
0
0
0
0
0
0
9
16
0
8
8
8
8
16
16
16
8
16
8
4
4
4
4
24
8
8
8
8
26
26
20
0
16
16
16
8
8
8
8
8
8
8
8
21
26
26
0
0
0
8
8
9
16
16
17
24
24
2
1
0
0
20
11
11
11
8
8
8
8
8
8
16
16
8
8
2
2
16
0
16
16
16
16
0
0
0
0
0
0
0
16
16
8
0
0
32
32
8
8
8
1
32
8
8
1
1
8
0
0
4
4
0
16
16
8
0
8
8
8
8
16
16
16
16
16
16
17
0
0
8
8
32
18
8
8
0
16
16
16
16
16
16
16
16
16
16
16
16
61
1
1
1
0
0
0
0
0
8
0
0
8
0
4
4
8
2
2
2
2
0
0
4
1
0
0
8
8
8
8
4
8
8
12
8
8
8
2
2
1
1
8
0
2
0
0
0
8
16
0
0
1
1
1
0
19
19
19
19
8
8
32
8
0
4
16
16
16
16
16
16
0
0
0
0
8
0
8
8
8
8
8
8
16
0
8
8
8
16
2
2
8
8
8
0
2
0
0
0
0
16
16
16
16
24
16
16
16
16
9
9
4
2
16
17
8
1
0
0
0
0
0
8
4
16
16
16
16
16
16
16
16
0
8
4
42
20
20
20
0
8
1
1
1
1
0
0
0
0
0
0
1
8
8
8
8
8
4
0
0
16
16
8
8
0
0
0
0
8
8
16
8
8
0
1
0
8
60
60
32
1
0
16
16
16
0
0
0
0
0
0
0
1
1
0
18
16
0
24
24
0
0
0
8
8
0
2
3
0
0
8
8
0
0
20
16
16
16
4
0
8
24
9
0
0
0
8
8
8
8
0
0
0
0
0
16
0
0
0
25
17
0
16
16
16
8
8
8
0
0
0
16
16
16
0
8
8
8
0
2
10
10
10
10
16
16
0
16
16
16
16
16
16
16
18
18
18
18
18
18
8
8
40
20
0
0
16
4
4
8
8
8
4
4
16
8
32
32
2
8
24
16
16
16
24
24
8
8
8
8
0
0
0
2
4
4
4
2
2
2
2
4
4
0
0
16
16
16
4
0
1
1
1
16
4
4
5
8
4
4
0
8
8
0
0
0
8
16
16
58
42
0
0
0
8
0
0
16
16
21
21
33
16
0
0
8
8
0
0
0
16
16
16
16
0
8
8
8
0
8
8
8
8
8
4
4
4
4
4
0
16
16
16
16
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
4
20
20
8
8
8
0
16
13
13
13
8
8
8
15
8
8
0
9
9
9
3
3
4
8
8
0
8
16
16
0
2
2
8
0
52
52
0
17
0
0
25
1
1
1
1
2
2
2
0
25
25
16
16
0
4
0
0
2
4
4
8
8
8
16
8
20
8
48
32
0
0
0
8
8
8
1
1
1
1
1
0
9
9
8
8
4
8
0
1
8
8
0
0
48
0
52
0
24
16
4
4
1
1
1
16
8
8
0
0
8
8
16
16
16
16
8
8
0
0
0
1
0
0
0
0
18
18
0
0
0
8
8
16
4
4
16
8
0
0
4
4
4
0
0
8
16
16
4
20
0
8
16
8
8
8
0
0
0
8
8
8
8
0
8
8
5
5
5
8
8
24
0
0
8
8
8
0
16
9
8
0
0
0
8
9
9
9
9
9
0
0
16
16
16
16
8
8
8
12
12
12
12
21
4
0
0
24
24
0
0
0
0
0
1
1
1
1
1
1
4
2
0
9
4
8
8
8
16
0
0
8
8
8
8
0
0
16
16
8
0
18
32
16
1
8
8
8
0
8
4
4
0
0
0
8
16
16
16
16
8
0
8
8
8
8
16
1
16
16
16
16
16
4
0
16
0
8
8
8
8
8
8
8
8
8
21
8
8
8
0
0
0
0
16
8
48
16
17
1
0
8
26
26
26
17
1
0
8
8
0
8
0
16
2
2
2
2
2
1
1
1
1
1
1
24
16
4
0
0
4
4
8
8
8
0
8
8
16
8
16
16
0
8
8
8
8
8
8
8
8
16
16
16
16
16
8
8
8
4
4
4
4
4
4
4
4
4
4
4
0
16
16
16
16
0
0
0
0
0
0
0
0
0
8
8
8
8
0
0
0
0
0
16
16
8
8
1
0
16
8
8
0
0
16
8
8
8
8
0
25
4
8
8
18
2
2
1
8
8
16
16
16
16
24
8
2
2
0
8
8
8
8
2
8
0
0
0
0
8
8
8
8
8
8
16
16
0
0
0
0
8
24
24
20
20
24
2
2
16
16
8
1
1
16
8
8
0
8
0
0
8
8
16
16
16
16
0
8
0
0
16
16
13
9
9
0
8
8
8
8
16
16
4
4
16
8
8
8
8
8
8
1
4
8
8
8
8
0
0
24
16
16
16
16
8
8
0
1
16
8
0
0
4
4
4
0
0
4
8
8
8
0
0
0
0
16
16
54
54
4
12
8
16
8
8
3
2
40
32
8
2
2
2
16
16
16
16
20
40
0
0
18
18
0
16
16
0
0
1
0
4
4
0
0
16
16
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
8
8
16
8
8
4
4
4
4
0
1
1
0
0
0
2
2
4
16
16
16
16
17
0
8
16
4
16
1
16
16
16
0
16
0
8
8
8
8
8
0
16
1
2
2
2
4
4
4
28
16
12
16
16
16
0
24
0
0
16
2
2
2
8
8
8
0
0
0
8
8
8
8
4
24
8
8
8
8
17
17
16
4
0
4
8
8
8
0
0
16
16
16
8
8
0
0
0
0
0
0
0
0
8
8
8
8
8
8
8
8
8
0
0
17
1
1
16
2
0
9
9
9
0
0
0
0
0
0
0
0
0
4
16
8
8
0
24
24
0
4
8
8
8
8
8
8
8
16
16
0
0
0
0
0
0
0
16
16
8
1
0
0
2
0
4
4
16
16
16
16
0
0
8
8
16
16
16
24
16
16
0
0
0
0
0
4
8
8
8
8
0
0
0
0
16
2
2
16
8
8
8
16
3
2
1
1
16
8
8
8
20
32
32
32
16
8
8
8
0
0
0
0
4
4
4
4
4
4
16
16
16
0
32
0
0
0
0
2
2
24
8
24
8
1
1
1
0
0
0
0
20
1
0
0
16
16
1
1
8
8
0
0
8
8
8
8
8
8
3
16
16
16
16
0
0
0
0
0
24
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
24
2
2
2
2
0
0
8
7
7
7
7
8
8
0
0
0
0
8
1
9
8
0
0
0
0
0
8
16
16
0
0
0
0
0
0
0
0
0
0
24
24
8
8
16
16
16
2
0
1
1
1
16
16
0
8
34
34
34
34
8
16
1
1
1
1
1
1
16
8
8
8
1
4
0
16
28
0
0
0
0
2
0
0
0
0
8
8
8
8
1
1
1
1
0
0
0
8
16
16
2
2
2
1
16
16
0
24
24
24
24
8
8
8
32
24
24
24
24
17
17
0
0
0
16
16
16
0
0
8
8
16
8
8
8
8
0
3
8
8
8
8
8
8
8
24
24
0
0
4
4
4
4
4
4
4
8
2
0
0
0
8
8
8
8
8
8
12
0
8
8
25
32
32
32
0
8
8
16
0
1
4
12
0
8
8
8
8
8
8
8
8
0
17
32
32
0
4
0
8
0
0
24
12
0
0
8
8
8
8
8
16
16
16
4
4
4
4
0
16
20
8
8
8
8
16
16
0
0
0
16
16
16
0
8
8
4
48
16
0
0
0
0
0
0
0
2
4
8
16
16
16
16
16
16
0
17
17
17
0
40
40
4
24
16
16
16
8
8
1
1
8
8
4
24
16
16
0
56
8
9
16
16
16
16
4
4
4
4
4
4
0
8
0
0
0
4
4
0
0
0
0
8
8
8
4
0
0
8
1
1
1
15
0
0
0
16
24
8
8
8
8
8
8
8
8
0
17
16
16
28
0
0
24
0
2
2
0
0
0
8
8
8
8
8
8
16
18
16
0
0
0
0
16
16
9
9
9
0
0
0
8
8
8
0
0
0
0
0
0
2
2
8
2
2
0
0
8
8
0
2
0
32
8
8
0
0
8
0
0
24
24
24
16
16
0
2
50
8
0
2
8
8
8
0
24
2
8
8
8
0
24
16
16
8
32
32
0
8
56
56
1
1
0
32
33
33
33
16
16
0
8
8
56
56
56
56
56
8
2
2
24
24
0
0
3
19
0
0
8
8
0
0
0
8
8
8
8
0
0
2
4
4
4
4
4
8
2
2
4
8
4
12
0
8
0
4
4
0
24
24
24
24
4
4
4
4
16
16
16
16
8
0
0
0
2
8
8
32
32
0
16
16
8
0
24
16
16
24
24
24
24
24
24
24
24
24
24
24
24
24
24
24
8
8
25
0
8
0
0
0
0
4
4
4
4
4
0
0
16
0
0
0
0
0
0
0
0
0
8
0
1
8
0
4
4
8
1
0
4
0
0
0
0
1
4
4
16
16
16
16
8
8
8
0
16
16
16
32
0
0
0
0
0
0
8
32
32
32
0
8
8
8
8
8
8
0
1
9
1
1
1
0
16
8
16
4
4
0
0
0
8
8
8
16
8
8
8
8
8
16
16
8
0
8
8
0
0
12
12
0
16
16
16
16
0
0
8
8
0
0
0
0
0
0
19
17
17
4
8
8
8
8
8
8
32
32
8
0
0
8
8
8
16
0
9
9
16
16
9
32
32
32
8
8
0
8
8
8
8
8
0
0
0
0
2
2
4
8
8
8
0
4
0
4
4
40
17
2
8
8
17
8
0
16
24
2
6
2
8
8
8
8
8
8
18
18
16
16
0
4
4
4
0
0
0
16
16
16
0
1
0
0
0
0
1
1
1
1
16
8
8
12
8
8
8
0
0
0
2
2
5
5
0
2
2
2
2
0
0
16
16
16
16
0
0
0
0
8
8
8
8
2
2
16
16
32
0
0
0
16
16
16
16
0
1
1
8
8
8
8
0
0
0
9
9
4
8
8
8
8
0
2
2
1
1
9
1
24
24
16
16
0
32
32
0
0
0
0
0
0
8
8
16
16
16
16
32
0
0
0
16
16
2
2
2
2
8
24
16
16
6
16
16
0
0
0
16
16
0
0
0
16
16
16
0
0
8
11
11
12
12
8
0
8
8
8
32
32
32
16
0
8
8
16
8
16
16
0
0
2
0
0
0
8
8
0
0
20
20
4
0
0
8
0
8
8
8
8
2
6
8
4
16
16
16
8
8
2
0
0
4
4
1
1
1
4
28
0
24
8
0
8
16
8
16
16
0
0
17
1
1
17
8
16
16
16
25
0
0
0
0
9
9
9
0
28
8
8
4
0
8
8
8
4
24
16
0
0
0
4
1
1
1
1
8
8
8
16
8
8
8
8
8
6
6
6
6
4
4
4
4
4
4
4
4
4
4
16
16
16
8
8
0
0
0
0
0
0
8
8
8
0
0
8
8
0
0
0
3
1
0
8
8
16
0
4
12
12
8
8
2
2
0
8
8
8
8
8
4
0
0
0
0
0
0
0
8
8
32
32
9
0
24
24
1
1
28
8
8
33
8
16
16
16
16
4
4
16
16
32
32
0
0
0
0
0
1
1
1
1
1
1
48
48
48
48
0
0
8
8
8
0
8
8
8
8
8
22
8
40
4
4
1
2
8
16
16
4
4
2
0
1
1
8
4
2
2
4
16
16
16
16
16
0
0
0
8
8
0
12
12
12
12
12
8
18
18
18
0
8
8
8
8
8
8
8
8
8
16
30
0
0
8
8
8
8
32
48
48
0
1
0
0
8
24
24
24
24
24
16
8
10
10
0
0
0
22
6
6
0
9
9
8
32
8
0
0
16
0
0
0
0
0
20
18
32
41
41
8
8
8
16
16
16
0
0
24
0
4
16
0
4
16
24
24
1
1
16
16
16
4
2
32
16
1
1
4
0
0
0
0
24
24
4
0
8
0
0
0
0
0
0
0
0
24
8
1
1
1
1
2
2
0
32
1
1
0
8
0
0
0
0
0
16
16
0
0
1
0
8
8
8
8
8
8
8
8
0
8
8
9
1
8
22
0
24
24
24
16
16
16
16
24
24
24
8
0
0
0
0
16
16
8
12
16
16
8
4
16
0
0
0
4
9
8
0
8
8
0
24
8
8
8
0
12
8
16
16
8
8
8
24
8
8
8
16
4
16
16
24
0
8
8
0
0
0
0
8
12
2
2
2
0
0
0
0
16
16
16
0
16
2
1
8
16
16
0
0
8
8
16
16
0
0
0
0
8
24
24
8
16
16
16
16
16
8
8
8
8
0
0
0
8
0
0
8
8
0
0
0
16
0
0
28
8
8
37
4
4
0
0
8
8
2
2
2
16
16
16
0
2
0
16
16
1
1
1
1
0
8
8
1
1
1
8
8
16
16
16
16
0
8
8
12
8
16
1
4
4
8
8
1
8
16
16
16
24
0
0
2
2
2
12
4
32
32
8
8
8
0
0
0
0
0
0
0
16
16
16
0
0
0
0
0
16
16
16
16
16
16
0
4
8
8
24
24
24
0
0
1
1
0
0
17
1
1
0
0
8
8
8
8
12
24
0
0
32
32
32
0
0
16
16
16
8
8
0
0
32
16
8
8
0
16
8
8
16
1
8
0
0
0
0
3
0
8
8
8
4
4
0
0
0
0
8
0
0
0
1
17
16
16
16
0
0
0
0
8
0
0
2
2
2
2
0
0
0
0
0
32
0
19
8
8
8
32
32
8
8
8
8
1
1
1
0
0
2
2
16
16
8
1
1
0
0
16
16
16
16
16
16
25
16
4
4
4
8
0
0
16
14
14
0
0
4
4
4
4
4
4
4
4
6
6
0
19
19
8
1
1
1
1
1
1
0
0
16
24
8
1
16
16
0
0
1
1
1
0
0
0
0
0
0
1
1
1
8
8
0
0
0
36
16
0
16
16
8
0
16
1
1
24
24
24
2
16
16
0
8
8
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
8
8
32
36
4
0
0
0
16
0
8
16
0
0
0
8
8
8
8
8
8
0
0
0
0
32
8
8
24
16
16
0
0
8
0
8
8
8
8
8
8
8
0
1
16
0
2
2
8
1
8
8
8
8
8
8
8
4
4
0
0
12
1
1
0
16
8
16
8
8
8
0
0
0
1
1
0
16
0
0
0
0
0
0
8
2
0
1
1
1
16
0
0
8
8
8
0
0
0
8
20
20
20
20
2
2
18
18
18
1
0
8
16
0
0
0
0
0
0
16
20
20
16
16
0
0
8
8
8
0
0
1
1
8
8
8
8
0
21
16
4
0
4
24
32
32
0
8
8
8
8
32
32
8
8
8
1
5
5
8
8
8
8
16
0
0
0
10
8
8
8
8
0
0
2
2
2
1
1
16
16
32
32
32
2
8
4
4
1
0
1
8
8
8
4
4
4
4
16
16
0
0
1
1
8
22
22
8
8
8
8
8
8
8
0
8
8
0
0
16
20
24
1
1
1
1
16
16
0
8
8
8
1
8
0
16
2
2
8
8
8
16
0
45
32
32
18
18
24
24
24
8
24
1
1
1
0
8
0
2
2
2
2
8
8
8
1
1
1
1
0
2
2
8
2
8
8
0
8
16
1
16
16
16
32
32
32
0
0
0
0
0
0
0
8
8
40
40
40
0
8
8
8
8
8
1
0
0
4
4
4
31
31
31
4
4
0
1
1
4
4
12
16
16
16
32
8
8
0
0
0
8
16
1
32
32
32
4
4
4
6
0
0
0
8
8
8
0
16
16
8
8
16
16
24
24
24
24
24
8
8
4
16
8
8
0
0
0
16
8
0
1
1
17
32
20
16
16
16
0
0
0
1
1
0
0
12
12
12
12
8
0
0
0
16
16
16
16
0
0
0
0
8
8
8
16
16
0
16
16
16
16
16
1
25
9
8
2
8
4
4
8
16
1
1
16
0
1
0
1
1
1
16
16
32
4
0
0
16
16
0
0
0
0
0
1
1
0
1
1
1
1
1
2
2
2
2
0
0
0
8
0
24
24
0
1
1
16
0
32
32
8
8
0
0
0
16
16
0
0
8
8
0
8
8
0
0
8
8
8
8
26
26
1
1
16
8
8
8
8
1
16
16
16
8
16
16
16
16
16
16
16
8
2
8
8
8
8
0
12
16
16
8
4
3
3
8
8
2
16
16
16
16
8
8
2
2
2
2
0
0
8
0
32
8
8
0
0
8
8
0
8
8
8
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
8
8
8
8
2
2
4
0
2
0
16
16
0
0
16
16
16
16
8
2
2
0
0
2
10
2
8
0
0
0
8
0
0
0
0
0
0
0
0
0
0
8
8
1
1
1
8
8
4
5
16
16
16
16
8
8
8
8
8
8
8
20
2
8
8
0
8
8
1
0
0
0
0
0
8
8
16
2
0
2
2
2
2
1
1
8
2
2
2
0
8
8
8
0
8
0
0
0
0
0
8
0
17
17
0
0
26
57
57
57
16
16
16
8
8
56
0
1
16
8
8
8
9
9
0
7
7
33
4
8
24
8
8
8
16
8
0
0
1
1
0
8
8
18
16
1
12
16
8
22
32
4
4
4
4
4
4
0
0
24
16
16
4
2
2
1
8
8
8
8
8
8
16
2
16
16
16
16
8
4
8
4
0
8
8
0
0
1
1
1
1
1
1
1
1
1
1
16
4
0
0
16
16
8
8
8
0
16
16
16
16
0
4
2
2
0
0
8
8
8
8
8
8
16
16
16
16
8
16
16
16
16
16
8
8
8
8
4
8
26
26
2
16
4
4
4
4
4
4
4
4
4
20
16
0
0
1
16
8
8
8
8
8
16
16
16
16
8
0
0
16
2
2
8
0
0
1
0
0
0
0
0
8
8
8
16
16
1
1
1
1
1
1
1
8
8
8
8
8
8
0
0
4
4
0
16
2
16
16
2
2
0
0
0
16
20
0
0
0
0
2
24
24
0
25
24
16
0
8
8
8
0
2
8
8
0
17
0
16
16
16
0
16
8
8
8
0
0
16
0
0
16
16
16
16
16
0
8
8
8
0
0
2
0
0
8
8
2
2
0
0
0
0
0
8
8
8
2
2
2
0
16
16
8
8
8
8
8
8
8
8
8
4
2
16
16
16
16
16
0
0
0
4
0
0
0
0
0
0
0
0
0
16
16
16
0
0
0
0
0
24
16
41
4
0
0
1
1
1
32
8
8
8
8
16
8
8
16
16
16
8
8
6
8
2
2
0
16
16
16
16
1
0
16
16
16
16
0
0
0
0
16
8
8
4
1
1
1
1
0
0
8
8
2
2
2
2
8
8
0
10
10
10
0
16
8
8
16
24
8
0
8
0
45
41
16
0
0
0
0
0
8
8
12
12
0
32
8
8
8
8
2
2
8
0
16
16
0
0
0
8
8
8
0
0
0
0
0
18
18
18
8
0
20
16
16
16
8
16
0
0
1
1
0
0
16
16
0
0
0
0
0
0
0
0
16
16
16
0
0
8
0
2
0
8
8
0
0
32
32
32
32
8
1
8
8
32
0
8
2
2
2
2
8
0
4
4
4
4
20
4
8
8
8
8
8
8
8
8
4
4
8
8
8
8
0
0
16
16
16
16
16
18
18
2
2
2
2
2
20
20
4
4
0
8
8
8
8
8
0
0
0
0
4
25
25
9
8
8
8
8
0
8
8
4
4
18
18
0
0
0
16
49
16
16
16
1
1
16
16
16
16
0
16
0
40
2
2
8
8
8
0
0
1
8
8
8
8
8
8
17
16
18
18
0
16
16
0
16
16
16
16
8
0
8
8
8
25
25
25
0
0
8
8
8
8
8
8
32
16
16
1
1
4
4
4
4
4
8
8
8
0
0
16
16
16
16
0
0
0
8
8
8
8
2
16
8
8
16
16
4
8
8
8
8
8
0
24
24
8
4
24
0
1
1
0
0
2
2
2
2
16
8
8
8
16
0
8
8
8
28
0
40
0
1
2
2
2
2
0
24
24
16
16
0
0
1
8
0
0
0
0
0
0
16
4
4
4
4
17
0
32
4
12
4
4
4
0
0
0
0
0
2
8
8
0
24
24
1
1
1
1
1
1
0
0
8
13
8
8
0
16
8
8
0
0
0
56
56
56
18
0
0
0
8
16
16
2
2
2
2
0
8
8
8
8
8
0
0
16
0
8
8
8
0
0
0
4
1
1
1
2
16
16
16
16
0
16
16
16
16
16
16
0
16
16
16
0
8
8
0
4
4
4
4
8
8
8
8
8
16
16
16
0
0
4
18
18
8
8
8
0
0
0
0
0
8
8
8
4
8
8
8
8
1
16
16
0
1
1
1
1
8
8
8
8
8
8
0
17
0
1
8
9
4
1
4
16
16
16
16
8
0
16
16
4
4
40
8
0
0
0
0
16
16
0
0
8
2
0
1
18
0
0
0
16
0
0
0
16
2
2
1
1
1
0
0
16
48
8
0
8
1
32
32
8
8
8
8
16
4
4
24
24
8
8
8
8
8
8
0
0
16
8
8
8
12
12
12
32
8
0
16
0
32
32
16
17
16
8
20
20
16
0
8
8
0
4
4
0
0
25
0
0
0
0
4
0
0
0
40
40
0
1
0
0
8
8
8
8
8
8
0
0
32
32
0
0
0
0
0
0
0
0
0
0
8
16
16
8
14
10
0
8
8
4
8
0
0
0
0
0
0
32
16
16
16
16
16
16
8
24
8
8
8
16
16
16
56
56
4
33
0
0
0
4
4
1
16
20
0
8
8
8
8
8
8
8
32
8
8
32
0
1
1
1
0
56
56
45
45
8
8
8
0
18
2
16
24
8
0
0
16
32
4
0
8
16
8
2
16
16
16
16
16
16
16
16
16
0
0
8
8
8
32
16
16
16
16
16
8
8
0
16
2
8
8
16
0
16
8
8
8
8
18
16
16
8
8
16
16
16
16
16
8
8
8
0
0
0
16
16
16
0
0
8
8
8
8
16
16
16
8
0
0
0
0
0
8
8
8
8
8
8
0
29
0
0
16
2
0
16
16
0
0
0
0
8
8
8
8
8
8
8
0
20
16
16
0
0
0
8
8
8
8
0
0
0
0
1
1
4
0
8
8
4
18
0
0
16
1
0
10
10
0
0
0
8
24
8
8
8
0
0
0
8
8
4
4
0
0
24
0
0
8
8
8
8
0
0
4
4
4
8
8
8
2
4
8
8
8
4
12
2
40
8
8
8
16
16
16
8
8
8
8
8
8
8
8
8
8
1
0
0
0
0
1
1
0
0
8
2
2
8
0
8
0
0
0
0
16
16
16
16
8
0
8
8
8
8
8
8
1
1
1
4
4
4
4
9
9
41
41
8
8
1
17
8
8
8
0
0
8
8
8
8
8
8
8
8
0
0
0
8
8
1
1
8
8
8
0
0
0
0
2
2
2
2
0
4
8
8
0
0
16
0
0
9
1
1
8
8
4
0
25
8
8
0
0
0
0
0
16
16
16
16
2
2
2
4
4
4
0
0
0
0
0
0
0
32
32
20
20
8
0
0
0
1
1
1
1
0
0
4
16
16
16
16
8
2
0
8
8
8
8
0
8
0
0
8
8
1
1
1
2
2
8
27
8
8
8
2
2
0
0
16
2
2
0
8
1
8
8
0
8
24
8
8
8
32
0
5
0
4
8
16
1
0
1
4
4
4
8
8
8
16
16
0
8
8
8
8
16
8
8
8
8
24
8
8
20
20
20
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
0
1
20
16
0
11
0
0
0
8
8
8
0
0
0
0
0
20
0
5
0
8
8
8
8
8
8
8
8
8
8
8
0
4
4
4
0
0
24
8
8
16
16
0
32
32
16
16
0
8
24
8
8
8
16
16
16
16
16
16
16
1
40
16
16
16
16
16
16
0
0
8
0
0
0
8
8
8
2
2
2
8
8
16
16
16
16
0
0
18
16
0
8
48
32
32
32
32
1
16
16
0
0
0
0
0
1
8
8
4
32
8
8
5
5
16
16
0
16
16
32
48
2
8
8
16
16
16
0
8
0
48
48
48
48
8
8
0
0
0
1
29
8
8
8
0
0
0
4
0
0
24
20
0
0
0
16
4
4
16
8
8
2
16
1
8
8
8
8
8
8
0
8
8
16
16
16
16
0
16
24
16
16
16
16
16
16
8
12
1
8
16
16
16
16
0
8
8
0
0
0
10
10
10
10
0
1
16
16
16
16
0
0
0
8
1
16
16
16
0
0
1
1
2
0
16
16
16
3
0
8
8
8
20
20
20
8
4
4
4
4
4
4
4
16
16
24
24
24
24
0
0
4
4
4
4
4
4
1
0
8
4
8
0
24
26
24
16
0
0
4
4
16
16
16
40
0
0
8
0
0
0
0
16
16
16
1
1
8
48
16
16
16
16
16
16
16
8
9
8
16
16
0
0
0
8
0
0
4
0
0
0
0
16
2
0
16
16
16
16
16
0
0
16
8
2
1
1
4
4
0
0
0
27
1
0
4
4
4
13
28
28
0
0
0
0
0
0
24
9
9
24
8
0
0
0
0
0
0
0
0
8
8
4
16
16
8
8
16
16
16
24
1
1
16
16
0
16
24
8
8
8
8
16
24
16
8
1
1
8
8
0
0
0
8
0
16
16
16
16
0
0
0
0
8
8
1
0
8
8
0
8
8
8
0
8
8
24
0
1
16
16
16
2
0
0
0
2
0
8
4
16
1
0
0
0
0
24
24
0
0
2
2
2
2
0
0
0
12
12
12
12
32
8
16
16
0
0
0
16
16
16
0
8
8
0
16
16
16
0
0
8
0
2
2
2
0
2
2
2
2
8
0
8
0
0
0
0
2
2
2
0
0
0
0
1
1
1
1
0
8
12
0
0
16
16
16
16
16
16
16
8
8
8
16
4
28
28
1
1
0
0
8
32
19
8
8
8
8
0
8
16
8
24
24
8
16
8
41
41
0
0
0
1
8
16
16
16
16
0
8
8
16
8
0
8
4
16
16
16
0
1
1
1
1
8
16
0
0
8
0
16
16
0
4
1
32
8
16
16
16
32
32
32
0
16
16
16
16
34
35
8
8
8
8
8
0
16
16
24
8
8
8
8
0
4
4
21
0
8
16
3
16
8
8
8
8
0
16
16
16
16
4
4
0
0
17
16
18
18
16
16
16
0
0
0
0
4
4
32
32
32
32
32
32
32
32
32
16
16
24
8
1
1
1
5
8
1
1
16
0
0
0
0
0
0
3
8
8
8
8
0
0
16
43
24
0
8
8
8
8
8
0
24
8
8
8
8
8
8
29
29
0
8
8
8
8
8
16
16
16
9
1
52
36
8
8
0
8
22
8
0
16
16
32
0
8
2
2
16
16
8
0
1
1
0
8
8
8
8
8
8
0
0
16
16
16
8
28
8
0
16
16
16
1
0
0
0
2
2
4
4
0
0
0
16
16
33
33
8
0
0
16
1
2
2
2
2
0
8
0
12
8
13
13
2
22
16
2
8
8
16
16
16
16
16
16
16
0
16
0
8
16
4
4
8
8
1
1
0
8
8
8
0
0
0
8
0
0
2
0
0
0
0
1
1
1
2
0
1
1
1
8
8
8
8
8
8
8
16
16
16
0
32
0
2
2
2
4
32
17
16
16
1
8
8
8
8
0
0
0
0
0
0
0
0
0
8
8
32
32
16
0
8
8
0
0
0
1
1
16
16
16
1
9
0
0
0
20
0
24
24
24
24
24
24
8
16
16
16
0
16
29
29
4
4
0
0
32
32
32
16
16
16
24
8
8
8
8
0
0
16
16
8
8
8
4
4
1
1
8
8
24
8
0
1
1
8
0
16
16
16
16
0
0
1
1
1
1
8
8
8
8
1
16
16
16
20
0
2
0
0
0
0
8
8
8
0
0
6
12
4
8
4
4
4
26
2
2
2
2
2
2
2
2
2
16
24
0
0
8
8
2
2
8
0
0
32
32
32
27
8
8
8
8
4
4
8
8
8
8
8
32
32
32
0
8
16
16
40
40
8
8
8
31
31
31
31
31
0
8
3
16
16
8
8
8
8
0
1
1
1
8
0
12
55
4
4
20
16
16
8
0
0
2
2
2
2
34
4
4
4
16
16
0
16
16
16
9
8
0
0
0
1
40
0
10
10
9
9
0
0
10
8
8
8
1
1
0
2
0
0
0
24
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
21
21
32
32
32
1
8
8
2
2
2
2
25
16
8
8
16
16
16
16
16
0
0
0
0
0
0
0
0
32
32
54
8
8
16
2
0
16
16
16
16
0
16
24
4
4
0
0
0
4
4
4
1
1
1
2
8
0
0
2
2
2
1
2
8
2
8
4
16
16
16
16
16
16
16
0
0
0
0
0
0
0
16
36
8
0
0
0
2
2
2
2
0
1
0
1
8
8
0
1
16
0
0
0
0
0
0
0
4
16
16
0
0
0
0
1
0
0
32
16
8
0
8
8
40
8
8
8
8
8
4
4
0
16
4
4
0
8
0
2
8
8
8
8
8
8
8
0
20
0
0
0
8
16
16
20
16
4
4
0
0
24
24
0
1
0
8
8
2
8
32
32
32
0
1
16
16
16
16
16
0
0
16
16
16
0
4
4
0
0
0
0
0
0
8
0
16
16
16
16
0
2
8
8
8
8
8
0
0
0
24
24
8
8
8
8
0
0
18
8
2
2
2
8
8
0
0
0
4
4
16
8
1
1
1
8
8
16
0
8
4
4
4
4
4
0
0
8
8
8
4
4
0
0
0
8
8
8
8
8
8
8
16
16
16
8
8
0
0
0
4
0
8
8
16
16
16
0
0
16
8
8
8
8
8
0
0
16
24
24
16
4
4
4
4
16
16
16
16
16
16
20
16
4
8
4
0
0
0
0
0
0
16
16
8
24
8
8
8
0
0
8
0
0
0
16
16
16
1
0
0
16
8
8
16
16
16
16
16
16
16
16
0
32
32
0
0
17
4
9
0
0
0
0
0
0
16
4
4
4
8
8
0
2
24
8
0
0
8
16
2
2
2
0
0
0
0
0
1
1
1
0
0
0
8
16
16
16
16
16
0
3
3
16
24
32
32
32
1
1
1
8
8
24
16
16
0
0
0
0
0
0
4
4
20
20
16
16
8
16
0
4
4
4
4
4
4
8
1
1
8
12
8
0
0
1
0
18
18
18
8
8
8
8
16
16
16
1
16
16
16
16
2
10
0
0
32
32
32
32
32
0
0
8
8
8
0
8
8
8
0
8
34
34
24
32
32
32
32
0
16
4
4
4
8
8
8
16
0
1
1
4
8
8
8
8
4
4
16
8
8
4
8
8
8
16
16
8
0
8
0
0
0
8
8
0
0
0
8
8
8
8
8
0
8
8
8
8
1
1
4
4
4
1
0
0
1
1
4
4
0
16
16
0
0
0
0
48
32
24
32
0
0
0
0
0
8
4
4
16
16
16
16
0
0
8
8
8
8
32
8
8
0
0
8
0
1
0
1
2
3
2
16
0
0
0
0
0
16
1
1
8
8
8
0
0
0
0
16
16
16
16
2
4
4
8
16
8
0
1
1
1
1
1
1
1
4
12
12
12
8
8
0
0
2
2
1
1
0
2
2
2
16
16
0
24
24
4
4
4
4
8
32
32
10
0
16
0
0
0
0
0
0
0
0
0
1
1
8
8
2
1
0
0
0
8
8
8
8
1
1
16
0
0
0
24
24
16
8
1
1
16
4
8
8
8
0
0
0
16
0
1
1
8
0
2
8
21
8
32
32
16
16
2
8
0
0
0
16
16
16
0
0
4
0
0
0
8
8
8
16
0
0
0
0
0
0
0
40
32
32
0
10
8
8
8
8
0
0
2
16
8
16
0
4
4
32
0
0
35
8
8
8
8
4
32
32
32
32
32
32
32
32
32
4
2
32
8
24
1
1
0
0
16
16
8
8
16
32
48
16
0
0
0
0
12
1
50
2
2
2
2
1
8
8
8
0
2
2
0
8
0
8
1
16
8
2
2
0
0
6
6
0
0
0
0
16
0
16
16
8
8
16
4
4
16
8
4
4
8
56
49
0
0
0
8
16
16
0
0
0
32
0
0
0
0
0
0
0
16
16
16
16
0
16
16
16
16
16
16
8
0
4
2
0
0
6
4
21
8
0
2
0
8
0
0
0
16
20
0
4
1
17
1
1
0
4
4
8
8
8
8
16
0
0
0
8
8
16
8
2
32
32
32
4
4
0
0
4
4
0
0
0
0
0
0
4
16
8
0
8
24
24
0
0
0
8
16
8
24
8
8
8
18
18
8
8
0
8
8
0
8
8
0
16
1
1
1
0
0
0
0
12
12
32
4
18
0
0
0
0
8
8
8
4
4
4
2
18
18
0
0
8
41
41
8
9
8
8
8
16
8
16
16
8
8
8
8
0
0
39
0
0
0
1
1
1
24
16
16
16
16
16
4
0
0
0
16
16
16
16
2
0
16
8
8
0
16
16
0
16
4
4
4
0
8
0
2
2
2
16
0
8
8
4
0
0
8
0
16
16
8
8
8
0
0
0
0
2
2
0
8
16
16
24
1
8
28
0
18
18
18
8
8
4
16
16
35
33
16
16
16
16
16
44
44
0
16
8
16
16
1
0
0
0
18
18
18
0
0
0
0
24
24
24
4
0
0
16
16
16
4
8
8
8
0
24
8
8
8
8
8
8
0
0
8
0
8
8
4
4
4
4
4
8
0
0
8
16
16
0
0
0
0
8
8
4
8
16
16
16
16
8
8
8
16
16
16
16
16
16
16
16
8
28
20
16
16
16
16
4
4
1
1
0
16
0
0
4
4
4
0
0
0
32
4
16
16
8
24
8
8
4
0
8
8
16
8
8
8
8
2
17
17
8
16
0
0
0
16
8
0
8
0
0
0
17
17
17
16
8
8
8
8
8
0
0
0
0
2
2
2
2
2
2
2
8
8
8
0
8
8
8
8
8
16
16
17
17
0
0
0
0
16
16
16
16
16
16
16
16
16
0
8
8
8
8
8
8
8
16
16
16
19
19
8
8
8
0
12
12
3
10
0
0
0
8
0
0
8
8
0
0
0
0
8
8
0
24
8
2
2
8
8
8
2
0
0
17
17
4
8
16
1
1
1
1
24
24
0
8
8
8
8
0
0
8
0
0
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
1
8
4
4
8
8
4
8
8
8
0
11
8
8
8
16
16
16
16
16
32
0
0
8
0
32
8
8
1
8
8
32
32
8
8
8
8
16
16
8
8
34
1
0
4
4
16
16
8
8
8
8
8
0
8
0
0
16
16
16
16
8
16
16
8
8
16
16
16
28
0
16
16
16
16
1
1
1
1
4
24
24
24
16
48
16
32
32
8
16
2
8
8
8
0
24
16
16
16
8
8
0
0
0
24
0
2
2
2
2
2
8
8
0
16
8
8
12
12
12
12
12
0
21
16
16
0
2
2
0
8
32
32
8
8
8
8
0
0
11
8
16
16
0
8
0
0
8
8
8
8
8
0
0
8
0
0
0
0
0
16
16
16
16
12
16
16
2
16
20
4
4
4
0
16
16
16
4
8
0
0
0
16
16
16
32
32
32
8
8
16
16
16
1
1
1
0
0
0
0
0
0
24
8
8
0
0
16
16
8
8
16
16
16
16
8
0
0
0
0
4
4
30
0
17
0
0
4
8
0
8
8
0
0
16
16
16
4
0
16
16
1
0
0
0
1
1
8
8
3
2
8
8
8
8
8
8
16
16
16
16
16
0
0
0
0
8
8
8
8
0
0
8
4
4
32
4
4
0
0
8
17
41
41
2
2
2
2
2
2
2
2
6
6
6
0
24
16
0
0
0
8
0
21
8
16
8
8
8
0
10
10
17
1
1
22
0
0
16
16
0
2
32
0
1
1
8
8
8
8
8
16
16
1
1
1
1
4
4
16
18
19
18
0
8
8
16
16
16
8
16
16
16
16
8
1
16
16
16
16
16
16
16
0
4
2
2
8
8
0
16
16
2
22
4
4
0
0
8
8
0
8
4
4
1
8
16
16
28
28
16
8
16
0
16
8
4
4
4
16
16
0
4
1
1
0
1
0
0
16
16
16
16
16
16
0
8
8
16
8
24
8
24
0
8
2
2
2
17
24
24
24
24
8
32
32
8
0
0
0
0
0
0
8
8
4
0
0
16
16
8
8
8
0
8
16
16
16
0
16
16
16
16
16
16
16
16
2
3
8
8
8
2
2
2
0
9
9
0
0
16
16
16
8
1
0
4
4
0
1
1
0
8
8
8
8
8
8
60
1
16
16
2
2
2
16
0
0
16
8
1
1
16
16
16
16
8
8
8
32
24
0
0
0
0
1
0
0
8
8
8
0
0
8
8
8
8
8
8
16
0
0
2
2
2
0
0
0
2
8
8
16
0
8
8
8
8
0
0
0
24
24
8
8
16
24
24
0
0
0
16
8
16
16
24
8
8
0
0
0
0
8
2
2
2
0
0
8
8
6
6
0
0
24
1
1
8
16
20
16
8
8
8
16
16
16
19
0
0
8
8
8
4
4
0
0
0
1
32
0
8
8
5
5
16
16
20
20
20
0
3
3
8
8
1
1
8
8
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
24
16
0
0
32
32
0
1
8
0
0
0
0
3
8
8
16
16
16
16
8
8
8
0
0
0
0
0
0
0
0
0
8
8
8
8
16
16
16
16
0
1
16
8
8
8
4
4
4
16
16
16
16
16
8
0
0
1
4
4
2
24
2
16
16
0
16
16
16
16
4
4
4
2
2
16
16
16
16
8
8
8
8
8
8
0
16
16
0
8
8
0
0
0
0
16
9
0
8
4
4
16
0
4
0
16
4
0
8
8
2
32
32
24
1
1
8
8
1
1
1
1
8
1
8
0
0
0
0
1
16
8
8
1
1
21
4
4
1
16
16
8
8
0
2
3
1
61
8
0
0
16
16
16
16
16
16
0
0
1
49
16
0
0
0
0
1
1
12
1
24
24
0
2
2
0
0
8
0
0
2
2
2
4
4
4
8
8
0
8
20
0
0
0
16
0
0
0
0
8
8
8
0
0
0
16
16
16
16
16
0
1
0
0
0
0
0
0
12
8
8
0
0
0
2
2
2
32
1
1
0
2
16
16
0
8
0
2
2
1
1
16
24
16
16
16
8
0
16
16
16
16
16
8
0
16
6
6
6
8
4
4
4
12
12
0
0
2
2
2
4
4
0
0
8
8
0
16
9
16
0
8
32
16
16
16
16
17
10
10
10
0
20
20
16
16
16
16
32
32
8
0
0
0
0
0
0
8
32
0
4
4
4
0
0
0
24
24
0
0
18
18
2
16
16
0
0
8
0
0
0
0
0
0
0
0
8
8
8
0
0
8
0
0
0
0
0
0
18
8
8
16
8
8
0
8
0
0
2
2
8
8
8
0
12
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
0
0
1
0
0
8
16
16
0
0
0
1
8
8
8
8
8
0
0
16
8
8
8
0
0
4
4
0
8
8
8
8
8
8
8
1
8
8
8
8
8
1
8
8
8
8
8
8
8
8
8
8
0
8
8
0
0
0
8
8
0
32
1
48
48
16
0
16
2
0
0
8
8
16
16
0
0
0
0
0
0
0
8
8
8
8
8
4
33
33
16
16
0
8
8
8
8
8
8
24
0
0
0
8
8
16
16
16
2
16
0
0
8
16
1
1
1
1
8
16
6
0
0
0
16
24
16
16
8
8
8
8
0
0
20
20
16
0
0
8
8
8
8
8
8
8
8
16
16
0
0
9
8
8
8
8
8
24
8
16
8
8
8
32
32
32
24
0
0
0
16
0
0
0
16
8
8
9
1
0
0
2
2
16
16
16
16
28
16
16
16
16
8
0
0
40
8
0
0
12
12
12
0
0
0
0
0
0
8
8
16
16
16
16
0
0
0
12
32
32
32
8
8
8
8
8
8
0
8
0
0
4
8
8
4
4
4
12
16
16
0
0
0
16
48
48
49
49
16
16
0
8
8
8
8
0
0
8
4
8
8
12
12
0
0
2
2
2
2
0
0
0
1
0
0
4
0
4
0
8
4
8
8
8
8
8
8
8
8
4
0
0
16
8
8
0
16
0
0
0
0
0
0
16
16
0
0
0
0
8
8
0
0
8
8
16
16
0
0
16
8
0
8
5
16
16
16
24
4
4
1
2
4
4
4
4
4
4
16
16
4
4
4
0
0
24
8
8
8
8
16
28
8
40
32
8
2
0
33
33
33
8
8
8
4
4
4
4
0
0
0
8
0
0
8
8
8
8
8
8
2
2
2
8
8
8
8
24
24
2
20
20
20
4
4
48
48
48
48
0
0
16
1
9
16
16
0
16
0
0
0
0
0
8
8
0
0
0
0
0
4
4
8
8
16
16
16
20
6
0
16
16
16
16
0
16
16
4
4
0
0
8
0
0
0
0
25
0
8
16
0
0
9
16
1
1
1
1
1
1
1
1
8
8
8
1
8
8
8
8
8
8
8
18
18
16
8
0
8
8
8
46
42
0
6
2
16
16
4
8
8
8
8
1
1
0
0
0
24
8
8
8
17
17
17
17
17
17
17
16
8
8
8
8
9
8
8
8
1
1
1
8
16
16
16
16
0
0
0
0
16
16
16
16
16
16
0
0
16
16
0
0
0
0
16
8
16
0
0
8
24
0
0
16
8
8
8
24
8
8
16
16
16
16
16
4
4
4
4
8
8
0
0
0
0
0
2
0
0
22
6
6
6
6
6
0
0
16
16
4
4
4
0
0
0
8
8
0
16
16
16
16
16
16
0
8
8
8
8
20
20
25
25
1
1
8
8
0
0
8
20
16
4
16
18
0
0
4
12
12
20
4
4
4
2
2
9
8
8
16
0
1
8
0
8
28
28
28
4
4
16
0
4
1
16
16
0
0
0
0
16
8
8
8
8
4
8
24
8
8
8
16
8
8
16
16
0
34
50
2
2
16
16
16
0
17
1
16
16
16
8
0
0
8
8
0
0
8
8
0
0
0
4
12
12
0
16
16
16
16
1
16
16
18
18
18
18
16
0
32
8
8
8
8
8
0
0
16
16
4
4
8
8
8
12
12
4
18
12
4
4
8
16
48
48
48
48
48
0
16
16
16
2
0
0
16
16
16
2
2
20
4
4
4
4
0
0
0
8
8
2
1
0
28
24
16
16
8
16
16
8
16
4
4
4
4
16
16
0
32
32
32
32
32
1
4
32
16
0
0
0
16
16
20
16
10
10
4
0
9
8
8
4
16
16
8
0
9
0
8
2
2
2
2
2
2
8
16
32
8
2
2
2
10
9
15
9
17
16
16
4
4
4
8
16
0
0
0
24
0
0
0
20
20
8
8
32
32
32
0
0
0
8
0
16
16
16
0
2
2
16
16
8
0
57
4
4
4
16
16
8
8
0
0
8
8
16
16
0
0
16
16
0
0
16
16
0
0
4
4
1
0
0
0
8
8
8
0
8
16
16
18
18
18
2
8
0
0
0
24
24
16
4
0
4
0
0
0
0
0
8
1
1
0
0
0
0
5
5
5
16
16
0
0
0
8
8
3
2
2
32
59
32
16
16
16
16
16
16
16
16
4
4
4
4
4
0
1
1
1
4
0
0
0
1
1
1
1
2
2
2
4
4
4
16
8
8
8
0
0
16
16
0
6
0
16
16
16
16
8
8
0
0
31
4
4
8
0
0
0
8
8
8
8
0
16
16
16
8
16
0
16
8
8
4
4
4
4
6
0
29
29
29
8
0
0
12
8
8
8
1
32
32
0
1
8
8
2
2
4
32
8
8
4
4
4
0
12
8
8
8
4
4
4
16
16
53
4
4
4
16
9
1
8
0
0
6
2
0
0
16
16
16
16
16
16
8
8
27
17
8
1
4
16
16
4
8
8
8
8
18
16
3
8
0
0
0
0
0
16
16
16
16
16
40
32
1
24
0
0
0
1
8
8
8
0
0
8
8
8
8
8
8
8
8
0
16
21
1
0
1
8
8
16
0
8
4
16
8
0
16
16
8
8
8
0
1
25
2
16
16
16
16
0
0
3
17
21
2
37
32
32
8
8
8
0
0
0
8
8
8
8
8
8
12
4
4
4
8
16
8
16
16
4
0
0
8
4
4
4
4
4
0
0
8
8
8
8
8
0
8
0
3
0
0
0
8
8
8
8
16
16
12
8
0
16
4
4
4
8
1
8
9
1
8
0
16
8
4
4
4
4
4
8
0
8
8
1
1
1
4
16
24
16
16
16
0
0
0
0
0
16
16
16
16
0
0
0
0
0
16
8
8
24
8
8
16
24
8
0
24
8
8
8
8
0
24
4
16
0
16
8
0
0
0
0
17
1
4
0
8
8
0
8
8
8
8
8
2
2
2
2
8
2
16
0
0
0
0
16
2
2
8
8
8
8
8
8
8
8
8
8
8
24
24
0
0
0
8
0
8
16
0
0
8
8
8
8
24
0
3
8
0
0
0
0
34
8
8
41
8
8
28
28
28
0
24
24
28
10
10
2
0
4
8
8
1
1
1
1
1
57
0
8
8
8
4
4
4
4
0
0
0
0
0
16
8
1
1
1
0
0
0
8
2
2
2
0
0
18
16
0
1
3
4
4
4
16
16
8
8
58
58
16
8
16
2
1
8
8
2
2
2
2
8
16
16
16
16
8
8
8
8
16
0
0
8
32
32
4
0
4
0
16
16
4
4
3
0
0
0
8
8
8
0
4
16
0
0
8
2
8
8
8
8
8
8
8
8
8
4
28
0
0
0
24
0
8
8
16
8
2
2
8
16
8
8
8
4
8
16
16
0
4
16
16
2
0
16
4
4
4
4
4
4
4
16
16
16
16
8
8
8
2
2
20
8
8
8
8
9
0
0
0
4
4
4
4
4
8
8
8
0
0
8
8
24
24
4
16
8
8
8
8
8
8
0
0
0
9
9
8
0
8
0
1
1
1
1
1
8
19
19
8
8
8
8
8
16
0
0
0
16
16
16
18
25
25
16
24
8
0
0
0
0
0
0
16
16
8
0
16
16
16
24
0
0
0
0
0
4
4
4
62
62
1
0
0
0
0
0
0
8
6
6
1
1
1
8
20
4
0
0
0
0
8
8
8
8
8
8
8
1
1
16
0
0
16
0
16
0
8
8
8
4
9
17
8
16
16
18
16
16
16
16
1
48
16
16
16
16
16
16
16
1
1
1
32
8
8
0
8
16
16
24
16
16
16
16
16
0
0
0
0
16
60
60
16
8
40
16
25
4
8
1
1
4
4
1
8
16
16
17
16
16
16
16
16
16
0
0
0
0
0
32
40
32
32
32
32
0
2
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
2
2
4
1
2
2
16
16
16
0
8
8
8
8
2
0
0
0
0
0
0
0
24
8
24
21
4
1
0
24
16
36
36
0
0
0
4
32
32
0
0
8
0
0
18
18
18
8
8
8
8
0
0
0
0
24
24
24
8
8
8
16
1
1
8
8
8
8
0
0
0
8
8
8
8
8
8
8
8
8
26
26
2
8
4
4
8
8
0
16
0
0
8
1
0
0
8
8
8
25
8
16
16
16
8
34
34
8
8
8
24
4
16
16
8
8
8
8
8
8
8
8
32
32
4
0
1
1
1
1
1
16
16
16
16
2
8
8
4
4
8
16
1
1
1
8
1
16
2
2
6
16
8
16
2
0
4
4
4
8
8
0
0
16
24
1
48
32
32
0
0
8
8
0
16
8
16
8
8
8
24
0
0
8
8
17
0
0
0
4
4
1
16
0
2
10
8
8
8
0
0
0
0
8
8
8
8
8
16
8
0
0
0
24
34
4
0
8
8
8
8
18
0
0
1
4
8
8
8
0
0
0
20
20
20
4
8
0
8
8
0
16
8
8
4
0
0
4
4
8
8
8
8
8
8
8
8
0
0
6
6
6
0
0
32
0
0
0
0
8
12
0
0
0
0
2
1
1
8
8
16
16
8
8
16
8
8
8
0
0
0
0
0
0
4
16
3
48
8
48
8
8
8
16
16
1
1
1
6
0
4
4
0
0
32
0
17
24
0
16
16
16
8
8
0
0
0
8
0
0
0
16
16
0
2
2
0
4
1
1
8
8
8
8
8
4
4
4
8
0
8
16
16
16
16
24
18
8
8
16
16
0
8
8
0
2
2
2
8
8
8
0
32
32
8
8
8
8
16
16
32
16
8
0
16
0
16
16
16
0
8
0
4
4
4
4
4
8
16
8
8
8
0
0
4
4
4
4
4
4
8
16
24
8
8
0
8
1
1
0
16
16
8
8
8
8
8
8
2
2
8
8
8
8
8
8
18
18
18
18
16
2
2
16
16
16
1
1
20
4
8
8
8
8
8
8
8
2
16
16
16
16
1
0
0
4
0
8
8
16
16
2
2
2
2
16
16
0
0
16
16
8
4
8
8
8
8
8
0
0
0
10
2
0
16
0
0
0
0
1
0
0
0
0
16
0
9
16
16
8
16
24
24
8
8
8
8
8
16
16
0
8
8
8
16
16
0
0
0
8
8
0
8
8
8
8
8
8
1
8
0
0
4
4
0
0
0
1
1
8
8
8
8
8
12
12
0
0
0
8
8
0
8
8
8
32
56
8
1
1
2
22
2
2
8
4
4
9
0
3
0
0
0
0
0
0
0
0
0
0
0
8
8
0
16
16
2
2
8
8
8
8
8
8
16
16
12
8
8
8
0
0
4
4
24
32
32
32
0
0
1
1
0
8
32
32
1
1
1
0
16
2
2
2
17
17
8
16
16
16
16
0
2
0
16
16
1
1
2
2
8
0
0
0
0
0
0
16
16
16
0
25
25
25
6
4
8
0
8
24
8
8
16
0
16
16
0
4
0
0
0
0
9
0
0
16
16
4
4
0
0
1
1
0
16
16
16
16
0
0
0
0
2
16
16
16
0
2
1
8
1
1
1
1
1
1
4
4
4
0
16
0
0
1
1
1
0
0
0
0
0
0
52
52
4
2
2
18
12
8
8
8
8
8
8
24
24
0
8
16
16
0
0
8
16
16
16
16
8
8
8
24
24
24
24
27
12
16
16
16
16
16
8
0
0
0
17
17
17
16
0
0
0
8
8
8
8
2
8
8
2
1
1
1
1
1
1
1
8
8
8
0
0
8
8
8
32
32
32
16
0
0
0
16
16
2
2
0
0
1
8
8
8
8
8
8
8
8
24
8
8
8
8
8
8
0
0
4
4
4
3
16
16
8
8
8
8
16
16
16
16
16
16
16
0
0
0
1
1
0
1
1
1
0
0
0
0
8
8
8
8
8
8
0
0
0
16
16
0
8
8
8
1
0
4
4
1
16
1
1
1
8
8
8
8
8
40
40
32
32
1
4
4
0
8
8
8
0
0
16
4
0
0
0
0
32
5
8
0
8
0
0
4
0
16
0
16
16
1
1
0
0
0
8
8
0
0
32
0
0
0
0
0
0
0
16
16
16
8
24
8
8
8
0
0
4
2
2
0
0
0
0
0
0
4
4
16
0
0
0
52
52
8
28
8
2
2
2
32
0
32
0
16
0
0
0
0
0
6
8
8
8
8
32
32
32
1
8
16
16
16
16
16
16
16
0
0
8
8
0
4
0
0
1
1
1
22
16
16
16
16
0
0
0
0
0
16
0
0
0
13
44
12
40
8
2
16
16
8
12
8
8
8
8
8
0
0
0
8
1
1
1
1
0
24
8
4
16
0
0
8
8
8
0
8
18
18
18
16
24
24
0
0
8
8
1
0
0
0
0
4
4
8
24
0
0
0
8
8
8
0
0
16
0
0
8
0
0
2
2
2
8
0
0
4
4
4
0
8
8
0
0
0
16
8
8
17
8
8
8
24
24
24
0
8
6
6
2
0
0
0
8
16
24
24
24
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
16
8
0
0
0
8
0
0
0
4
12
12
12
12
8
8
8
0
0
8
8
8
8
8
8
16
16
0
9
1
16
0
0
8
0
32
8
8
8
25
25
8
16
16
16
0
24
16
8
0
0
2
2
1
8
0
8
0
0
0
16
8
0
8
8
8
8
8
0
2
2
16
0
0
4
4
0
0
8
0
10
4
4
0
8
4
0
16
16
16
16
0
16
16
4
0
19
16
2
2
0
8
2
8
12
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
4
4
8
4
4
4
4
4
4
8
16
8
0
16
8
8
8
8
0
16
16
16
8
8
0
8
0
16
0
8
32
32
32
32
0
2
2
2
8
8
8
8
8
8
8
8
8
1
1
1
1
1
24
16
16
16
4
4
4
0
8
8
8
1
16
24
8
2
8
8
0
0
0
8
8
8
8
0
0
0
0
0
0
0
0
8
8
0
0
8
8
1
20
32
32
32
2
0
16
1
2
1
16
8
9
9
0
1
1
1
1
1
16
52
16
8
16
16
16
16
16
1
0
16
16
16
16
16
8
2
8
8
4
0
32
2
2
2
0
0
0
21
6
6
6
3
0
0
0
0
8
8
8
8
8
6
8
0
0
26
26
26
5
5
8
8
8
8
16
16
0
0
1
1
8
8
8
0
0
16
16
16
18
16
16
8
8
52
52
32
32
32
1
8
8
1
1
16
16
16
16
10
4
8
8
9
4
1
0
0
0
8
25
0
16
8
16
16
24
16
0
1
1
4
4
4
16
16
16
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
2
8
2
2
8
8
11
1
16
8
8
8
8
49
8
8
8
8
8
16
0
0
0
8
8
0
0
0
0
0
0
8
8
8
4
16
16
8
0
0
0
16
16
31
31
31
0
0
4
6
4
4
8
8
8
8
2
0
0
1
16
8
0
8
8
24
8
0
16
0
0
4
8
8
0
0
16
16
16
0
0
27
32
32
32
8
8
8
16
2
16
16
16
16
8
29
32
32
32
22
4
4
4
4
1
1
8
8
8
8
16
8
8
8
16
16
16
0
0
16
17
20
20
8
8
24
1
1
1
0
1
1
1
0
0
0
0
1
0
1
3
16
16
0
8
8
0
0
8
8
8
0
0
8
18
20
4
12
0
16
0
5
8
0
0
0
0
0
1
1
1
0
4
0
20
8
8
8
8
8
8
16
16
6
6
6
2
8
8
8
8
2
2
2
2
16
0
4
21
21
20
0
32
16
16
16
16
8
8
8
10
8
8
24
24
0
2
6
24
16
16
16
16
16
16
16
4
4
4
0
0
0
1
1
8
8
8
24
24
24
24
8
8
0
8
8
8
0
0
4
4
0
0
8
24
24
24
20
0
0
2
2
8
8
0
25
0
4
8
4
1
8
8
8
0
0
0
8
8
8
8
2
0
8
0
0
0
0
0
0
8
9
8
8
8
6
6
4
0
8
4
4
4
4
0
16
0
0
0
16
16
16
8
16
16
16
8
0
16
16
16
16
16
0
0
16
0
8
8
0
2
2
1
8
0
5
5
5
0
25
16
16
16
16
16
8
8
8
0
8
16
16
16
0
0
0
8
0
0
0
0
33
33
33
33
26
26
26
16
0
0
8
8
0
0
0
1
0
0
0
0
16
16
16
8
8
8
8
8
21
0
8
8
0
16
0
8
8
8
0
0
0
16
8
0
8
8
8
2
2
2
2
2
0
16
16
2
17
0
32
8
8
8
16
8
8
16
0
4
0
0
0
2
16
16
28
8
8
8
16
16
20
0
0
24
8
16
11
11
0
0
0
9
24
28
4
8
16
4
4
8
8
8
32
0
0
0
0
8
8
0
4
0
8
8
1
1
1
1
1
1
1
1
1
16
6
4
8
8
8
8
8
8
8
24
17
2
16
16
2
0
8
0
16
0
0
24
16
3
3
0
0
16
16
16
0
0
1
0
0
0
16
8
8
8
0
0
8
8
4
4
4
16
16
16
16
16
16
16
16
16
0
8
8
8
2
16
10
10
14
0
0
0
0
0
0
1
1
16
16
16
0
8
8
8
56
8
16
20
20
16
2
0
0
0
8
8
0
8
8
8
8
8
0
1
1
32
32
32
0
4
16
16
4
16
16
16
16
0
16
16
16
16
2
2
8
0
4
20
0
0
8
8
0
0
4
4
0
2
2
16
2
2
2
2
2
2
2
2
2
20
0
2
6
16
16
0
16
16
32
2
2
2
0
4
4
8
16
16
8
8
8
24
24
24
2
8
16
4
2
2
8
8
1
1
1
1
1
0
8
16
1
1
32
36
36
4
17
17
0
0
16
8
8
0
0
0
0
1
48
0
0
0
30
2
8
0
0
0
0
16
16
16
16
16
24
12
12
12
12
24
24
8
8
8
8
8
8
1
1
1
4
4
4
16
0
0
8
16
16
0
0
32
16
16
16
8
16
0
0
8
1
1
0
8
8
2
33
0
0
16
16
8
0
0
16
1
16
16
16
16
4
1
0
2
8
8
18
16
16
8
8
8
16
16
16
8
8
8
22
22
22
0
0
2
2
4
16
8
8
8
8
16
16
16
16
8
9
32
0
0
16
24
0
8
18
8
8
32
32
16
16
16
0
0
32
16
8
0
0
0
0
0
1
0
0
8
8
8
16
16
16
1
32
32
32
16
16
48
0
0
2
8
4
8
8
8
0
0
0
16
16
16
16
16
16
8
8
4
0
0
40
4
4
16
17
8
8
8
1
0
16
24
8
8
8
8
8
0
8
2
2
0
0
0
16
1
0
0
3
7
0
1
1
8
8
8
8
27
32
16
50
48
48
0
0
16
16
4
4
16
16
16
16
0
16
24
4
4
4
8
8
4
4
16
16
16
16
16
16
0
8
0
16
8
8
8
0
0
8
16
16
0
8
24
0
0
32
1
1
16
16
0
8
24
16
16
5
8
16
16
16
16
16
16
8
16
18
18
0
0
0
0
0
0
24
8
8
8
0
0
25
16
16
16
16
8
2
4
16
16
16
16
2
16
8
2
2
2
16
16
0
16
16
16
16
24
24
1
0
0
8
8
0
24
24
8
8
8
8
8
8
12
8
8
8
8
8
8
8
7
1
16
1
0
0
8
16
16
8
4
8
8
0
8
24
0
0
0
0
0
0
0
0
8
8
27
16
16
0
0
8
4
16
16
16
16
16
8
8
8
8
8
8
0
1
49
20
20
0
16
16
0
16
16
16
16
8
0
0
8
8
16
16
8
8
28
1
1
1
0
4
4
2
2
2
2
16
4
0
8
0
16
16
20
16
16
8
8
8
8
8
8
8
16
16
0
24
8
0
0
9
9
16
0
0
0
0
8
0
0
0
16
16
16
16
0
0
0
0
8
8
0
0
4
0
0
0
8
0
8
8
16
16
2
1
1
8
8
8
16
16
16
24
4
2
2
0
0
0
60
60
60
8
8
8
8
8
0
8
0
1
8
8
8
8
8
59
59
59
1
16
16
0
2
16
8
8
8
8
8
8
0
8
8
0
0
0
0
8
32
4
8
8
8
8
8
0
16
24
16
8
8
16
4
0
0
16
33
0
8
8
4
4
16
5
1
2
2
2
2
2
2
2
39
16
16
16
40
8
2
0
0
0
28
28
16
8
8
16
0
4
4
4
4
0
0
0
16
16
8
8
2
2
8
8
8
0
2
0
8
8
8
8
8
0
0
0
0
0
8
8
1
0
8
0
8
8
8
8
8
8
26
0
2
2
0
8
16
16
16
16
0
14
0
0
0
0
4
0
1
24
25
16
16
8
2
8
2
1
8
8
0
0
8
8
1
8
0
0
0
4
8
8
4
4
4
4
0
0
0
1
1
8
8
12
12
16
16
16
17
17
8
8
2
2
0
0
8
8
24
16
8
2
2
0
0
0
0
49
49
4
4
4
1
4
8
8
8
0
16
9
9
0
2
2
2
8
4
2
2
1
1
0
0
16
8
16
0
32
16
16
16
16
16
0
0
4
4
1
8
0
0
8
16
16
16
16
8
8
0
8
8
8
1
4
0
8
24
16
0
0
0
0
0
0
0
16
16
0
0
1
8
0
0
0
2
0
0
0
24
8
24
24
16
1
1
16
16
0
0
0
16
16
16
8
8
2
2
0
0
0
0
0
8
8
0
0
16
0
0
16
16
0
16
16
16
16
16
16
0
34
34
34
34
0
0
16
16
16
16
16
1
0
0
8
0
0
0
8
16
8
8
8
9
16
16
2
2
0
0
16
16
0
12
16
0
0
0
0
8
0
0
33
33
33
33
4
0
9
16
4
4
4
0
20
20
8
8
0
2
2
2
2
0
0
24
4
4
4
5
16
8
8
8
0
8
8
8
16
16
0
0
0
24
24
8
8
8
0
16
16
16
0
16
16
16
6
8
8
10
0
0
0
0
0
0
8
4
4
4
0
1
8
8
8
8
8
0
0
20
8
0
8
8
8
17
17
17
26
8
8
8
8
8
16
8
8
4
4
4
4
20
16
16
4
16
16
0
0
0
2
0
0
0
16
24
2
2
16
16
16
32
0
0
0
0
8
8
8
16
16
16
4
0
23
23
0
25
25
25
1
16
16
0
2
3
16
0
0
1
0
0
0
1
1
1
1
8
8
8
0
8
8
0
0
0
0
0
0
0
4
8
1
1
1
16
16
16
16
17
0
0
0
3
3
2
2
2
3
0
0
16
2
4
4
8
8
8
8
8
16
1
48
48
48
0
0
0
20
4
4
4
4
16
16
17
1
1
37
37
40
26
0
0
0
8
8
8
2
6
0
0
4
4
4
4
4
24
16
16
0
4
4
4
4
8
8
16
32
32
16
16
8
8
8
1
0
8
8
2
16
16
16
8
8
16
16
16
8
8
8
16
16
0
0
16
16
0
0
0
16
16
8
8
8
2
2
2
2
2
2
0
0
8
0
0
0
8
8
0
8
8
8
4
0
0
8
8
8
8
8
1
1
8
6
6
6
6
6
8
8
8
8
8
0
1
8
8
2
8
0
0
8
8
0
0
0
0
8
1
8
4
8
8
16
16
16
4
4
4
4
0
16
16
40
0
1
1
1
0
0
0
16
16
16
16
16
4
30
30
14
0
0
0
0
0
8
4
4
41
16
1
1
0
0
2
2
2
2
2
4
4
0
0
0
0
0
8
4
0
0
0
0
0
7
7
0
0
8
8
8
2
2
0
0
0
0
0
8
8
8
8
0
8
16
16
24
16
16
60
1
1
1
0
16
16
2
0
0
0
1
0
0
0
8
8
8
8
8
8
10
2
1
17
17
16
16
16
16
16
8
1
6
6
6
2
2
8
16
16
8
8
8
4
8
8
8
8
8
8
8
16
1
1
0
0
24
8
8
16
16
16
8
8
8
0
2
8
8
8
0
2
2
2
2
8
0
0
0
16
16
9
8
8
8
0
0
0
0
0
0
24
16
16
16
16
16
8
8
16
16
1
1
1
0
0
0
8
8
4
0
0
8
8
16
1
1
0
0
20
20
20
20
2
2
8
8
8
8
8
8
8
8
8
25
16
16
8
8
8
0
0
0
0
0
4
4
4
0
0
8
0
0
8
8
16
16
16
0
16
0
0
0
32
24
8
8
8
8
0
0
0
8
8
8
8
8
8
16
16
16
8
8
8
8
8
8
16
16
20
20
20
20
20
17
17
8
2
2
16
16
0
16
2
2
0
8
8
16
2
48
16
16
16
16
12
16
28
0
0
0
0
38
8
8
8
8
8
16
0
0
0
8
8
4
0
0
0
0
16
16
0
8
8
24
24
24
24
16
16
8
2
8
8
24
0
8
0
4
4
4
8
0
0
0
0
0
8
2
0
0
4
4
0
18
2
2
13
16
16
5
4
0
0
0
0
0
27
27
4
4
3
8
0
4
0
0
0
32
32
33
40
0
0
48
16
0
0
8
8
8
8
16
32
32
32
0
8
16
16
16
0
0
0
0
0
4
0
8
8
16
24
0
0
0
0
0
0
8
4
4
4
8
9
16
16
16
16
0
4
4
4
0
2
2
2
2
2
2
33
0
0
16
16
16
0
8
10
8
8
4
0
0
0
34
34
34
34
2
4
4
0
0
0
8
8
8
16
0
0
0
0
0
0
4
1
8
8
8
8
0
0
0
2
8
2
16
0
8
1
0
4
4
8
2
0
8
1
8
8
8
8
8
4
8
3
3
12
12
4
8
8
8
0
41
1
0
0
9
9
16
16
0
0
8
8
8
8
8
8
8
8
8
0
1
1
1
1
1
1
2
0
8
9
4
4
4
4
4
4
4
0
4
0
32
20
4
4
0
0
0
0
0
0
0
0
0
8
0
0
8
0
1
1
1
0
0
0
0
8
8
8
24
8
8
16
0
0
0
0
0
4
4
0
0
0
0
5
5
7
1
8
8
8
8
8
8
8
8
8
8
4
4
4
16
8
16
0
0
0
16
16
16
16
16
0
8
8
8
0
0
0
1
0
0
1
1
2
24
24
4
4
8
16
1
8
16
16
0
0
0
0
16
0
0
4
0
0
5
16
16
6
6
40
8
8
1
8
8
41
41
1
41
41
8
8
16
8
0
1
5
5
5
5
5
16
8
8
8
4
4
4
16
8
16
16
16
16
16
16
0
24
16
2
2
0
6
6
0
4
4
4
4
4
0
16
20
20
20
60
8
8
8
8
0
20
16
16
16
4
4
2
2
2
2
2
8
8
1
16
8
0
1
1
8
36
32
32
32
32
32
32
2
8
8
2
0
8
24
8
8
4
17
17
17
8
8
0
0
0
3
0
0
16
16
16
0
0
16
16
16
16
16
16
16
8
24
4
16
57
8
16
16
16
16
0
0
20
20
16
16
8
8
8
16
0
16
16
16
0
9
21
21
8
8
8
8
8
16
8
8
8
16
20
20
4
0
0
32
0
60
60
20
0
1
1
1
8
8
8
32
32
8
8
8
28
28
0
0
16
16
16
4
4
16
24
16
0
16
0
8
0
4
8
22
22
4
4
4
4
4
16
16
16
16
16
16
16
16
16
16
16
16
0
1
16
8
4
8
8
8
0
17
1
0
0
0
16
0
0
0
0
0
0
0
0
8
0
8
2
4
14
0
8
8
8
0
8
2
2
2
2
2
0
0
8
0
0
0
8
8
8
8
8
16
8
8
4
4
8
4
8
0
0
1
1
1
2
2
2
2
2
2
1
2
1
1
0
0
32
32
32
0
0
16
1
1
1
1
12
1
1
8
0
4
17
0
0
24
8
8
6
6
6
6
6
8
16
0
16
8
8
8
0
0
0
8
1
0
0
0
2
2
2
2
0
22
23
22
22
6
4
4
8
0
0
0
0
8
34
34
1
0
8
4
2
8
4
2
2
2
17
17
17
2
2
8
8
8
8
0
8
8
8
0
0
8
18
18
18
16
20
8
16
28
28
28
4
4
4
4
4
5
1
8
1
1
0
8
8
0
0
16
16
16
8
8
8
0
8
0
16
0
0
16
0
17
8
24
24
8
0
20
8
8
0
0
0
0
0
16
16
0
0
0
0
0
2
0
16
16
1
16
8
2
8
8
8
8
16
16
2
0
0
0
4
24
24
24
24
24
24
24
16
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
0
0
0
16
8
9
0
0
32
16
16
0
0
0
0
8
8
0
0
2
2
33
2
2
2
2
0
0
0
24
8
16
4
4
4
4
16
16
0
16
16
4
0
8
16
16
16
8
8
0
0
0
16
16
16
16
16
16
0
24
24
0
0
0
0
9
9
12
8
8
8
10
10
8
8
2
0
0
4
4
4
4
8
2
0
16
0
8
8
8
8
4
4
16
16
8
8
8
8
8
16
24
33
0
22
22
8
8
0
0
0
0
8
8
8
8
1
12
8
0
0
18
18
8
8
8
2
2
8
8
8
8
8
8
8
0
0
0
1
1
4
16
1
1
1
1
1
1
1
1
1
1
1
1
1
1
16
16
16
16
16
16
16
4
20
0
0
24
24
0
8
8
16
0
8
16
9
9
16
32
32
12
12
12
12
12
12
12
18
0
0
0
0
8
16
16
16
20
2
2
8
8
8
8
16
16
16
0
16
16
8
8
8
4
16
16
4
16
8
24
0
0
0
0
4
16
16
16
16
16
16
16
0
0
0
0
16
8
8
8
48
0
0
8
8
8
16
16
16
16
16
16
8
16
8
8
8
16
8
16
42
0
0
0
0
32
32
32
8
0
1
1
0
0
0
8
4
4
4
0
0
0
0
2
4
4
16
1
0
0
22
1
1
1
0
0
1
1
8
0
0
16
16
16
0
0
4
0
8
8
8
8
8
8
8
8
0
0
0
0
0
0
0
0
0
4
4
16
16
16
16
16
16
16
4
16
4
48
0
0
16
0
8
8
8
8
8
8
16
16
8
8
0
8
16
16
0
0
16
1
16
16
1
1
8
16
16
8
0
16
16
16
16
16
16
8
8
0
0
0
0
0
0
4
16
16
8
8
30
0
0
0
0
0
0
8
16
0
0
0
0
1
1
1
8
16
30
30
1
17
17
8
32
32
5
4
8
0
8
8
8
16
16
20
16
0
8
8
16
0
8
0
0
1
2
0
0
4
8
8
8
8
0
3
21
16
16
16
16
1
1
4
4
4
4
0
0
8
0
40
40
32
32
32
0
0
4
20
0
0
0
4
2
2
2
16
0
1
8
0
8
0
2
16
16
24
24
16
0
0
0
8
0
0
8
8
8
0
8
8
16
4
0
16
8
8
0
0
1
16
16
8
8
0
0
0
0
0
8
16
16
16
1
1
1
0
0
0
8
8
16
16
16
0
32
32
48
16
16
0
0
18
0
0
40
40
40
21
4
4
0
0
48
48
10
2
2
10
2
2
1
0
4
16
16
16
40
40
11
11
11
0
1
1
2
2
2
2
1
1
8
8
1
0
0
8
8
0
0
34
34
8
8
8
4
4
0
8
4
4
1
13
13
16
0
4
8
8
8
8
8
8
8
16
0
8
16
16
16
8
8
8
1
0
0
4
16
16
0
12
16
4
4
0
8
8
8
0
8
0
8
4
16
16
16
16
16
16
8
8
8
18
1
1
1
2
24
0
8
0
32
32
0
0
0
8
4
4
4
4
4
4
4
4
1
1
16
16
8
8
9
0
0
0
0
0
0
0
0
12
12
12
16
0
0
8
0
1
1
1
16
8
1
56
56
0
0
8
8
8
16
16
16
16
16
16
0
0
8
8
32
32
4
4
1
1
22
16
1
0
0
16
16
1
16
8
8
16
8
0
0
8
16
16
8
0
0
8
0
0
8
25
8
16
16
16
32
16
16
16
0
2
2
2
2
2
8
16
16
15
1
8
8
51
0
0
16
0
0
41
16
4
16
16
8
8
0
16
16
16
17
17
8
0
0
0
0
16
16
8
16
0
0
0
0
8
1
0
0
16
0
4
4
4
4
4
1
0
16
0
0
16
0
8
8
2
0
4
4
4
0
0
0
0
0
16
16
12
4
0
2
8
8
0
8
8
8
8
8
8
8
8
16
24
8
8
16
16
16
16
16
16
16
16
1
1
1
0
0
16
16
8
8
8
1
8
2
10
10
16
0
0
0
8
0
0
16
16
16
8
8
8
8
1
1
0
3
3
3
0
0
0
0
1
1
1
1
0
0
0
4
0
16
16
0
0
0
0
0
0
0
0
0
0
0
3
3
3
4
4
8
8
0
8
0
0
0
4
16
8
8
8
8
8
4
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
0
16
16
16
8
16
16
16
16
16
0
2
8
0
0
0
16
0
4
4
4
4
8
8
8
8
8
8
4
4
4
16
16
0
1
1
0
8
16
8
8
8
25
0
0
0
0
0
8
8
0
0
16
8
8
24
16
16
8
24
24
24
4
5
18
0
8
8
0
8
0
0
8
8
8
0
16
16
0
16
16
0
0
24
0
8
8
2
2
21
16
16
16
0
16
16
16
2
2
2
2
2
16
16
8
8
0
24
24
24
8
24
24
24
16
16
8
8
16
4
8
8
0
0
0
8
8
8
40
8
16
0
16
16
8
8
0
0
8
8
8
1
1
1
1
16
16
8
33
0
0
0
0
0
16
8
8
16
16
0
0
17
17
17
17
8
8
1
1
1
1
1
0
0
0
8
9
13
8
8
8
8
8
0
0
8
0
0
32
0
0
0
8
0
0
0
16
16
0
0
0
0
0
16
2
2
2
16
32
0
16
2
8
8
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
8
8
8
8
8
0
0
8
8
8
16
2
16
16
16
0
16
16
0
8
9
8
8
16
16
8
4
32
32
0
0
0
8
62
8
8
16
8
16
0
0
0
0
0
0
0
0
0
16
0
16
16
16
16
0
0
0
8
16
0
40
0
20
4
8
9
0
4
4
0
0
0
0
1
8
8
4
0
16
8
0
4
8
8
9
9
9
9
9
16
24
24
24
24
2
4
8
2
3
2
4
8
0
0
45
45
45
0
0
0
8
8
8
8
8
16
8
8
8
8
8
8
8
9
9
0
0
0
16
0
16
16
16
16
0
0
0
0
8
8
8
8
0
16
16
16
16
16
28
20
16
4
4
4
0
1
33
8
8
8
8
0
1
0
8
8
8
8
0
0
4
4
0
8
0
12
12
12
8
0
0
0
0
1
1
1
0
0
0
24
24
24
8
8
1
1
1
4
4
8
0
2
2
20
0
0
0
8
8
8
8
8
2
2
2
0
0
1
0
0
0
0
0
0
16
16
16
16
16
16
16
16
16
16
16
16
16
16
0
0
0
0
8
8
8
16
0
0
48
16
16
16
0
0
0
16
16
3
0
16
16
16
0
1
1
0
0
0
16
16
0
4
4
4
4
0
0
0
0
0
0
0
0
0
8
0
8
8
8
8
8
8
1
1
1
8
0
0
8
0
8
1
18
18
18
1
1
1
1
0
8
8
0
4
4
4
16
16
34
16
16
0
8
8
0
0
0
0
32
32
16
0
0
0
16
16
0
0
0
1
8
8
8
4
16
16
0
0
0
33
8
8
0
0
0
0
0
13
0
4
0
12
16
0
4
4
4
4
4
4
2
2
2
16
8
0
16
16
16
16
0
8
0
12
4
0
8
0
0
41
8
8
0
16
16
16
16
8
16
1
4
4
8
2
2
0
16
8
1
1
1
0
4
8
8
16
16
16
16
16
0
0
0
0
4
4
8
8
8
4
4
4
4
25
16
16
16
1
0
1
1
1
4
4
4
4
4
8
8
8
0
9
8
8
2
18
16
16
32
8
16
16
16
16
16
16
16
16
8
7
4
4
4
4
4
1
10
8
16
0
0
8
0
8
2
2
8
41
33
33
33
8
8
0
0
0
0
16
16
18
8
0
4
4
4
8
16
16
1
2
2
16
16
16
0
4
20
4
1
0
0
2
0
0
17
1
0
16
8
0
16
4
20
20
0
0
0
8
8
8
8
0
0
0
0
8
1
8
8
0
16
16
16
0
24
32
0
0
16
0
3
2
0
0
0
24
16
17
40
0
0
0
8
8
8
4
8
2
16
16
8
8
0
0
0
32
4
2
16
0
0
12
16
16
16
16
16
4
0
0
1
8
8
8
8
1
0
0
32
32
8
8
8
8
8
1
6
6
8
8
8
8
8
8
16
4
4
4
4
8
8
8
0
24
8
8
16
16
16
0
0
0
8
8
16
26
26
8
14
0
16
16
16
1
1
1
16
16
16
16
17
16
16
0
12
0
16
8
8
8
8
8
8
2
8
8
16
0
0
0
0
0
8
8
8
8
8
26
26
0
0
0
0
4
4
4
4
16
16
2
4
8
0
16
16
16
8
24
8
16
8
1
8
8
8
8
0
0
8
18
8
8
4
4
16
16
8
16
8
8
8
8
1
8
8
16
16
16
16
16
2
0
16
16
8
8
16
16
32
8
8
8
24
24
8
16
16
8
8
16
16
16
17
0
16
16
0
1
0
8
8
2
8
8
8
8
8
8
0
2
0
4
4
0
0
16
16
16
16
4
4
4
4
4
4
4
4
8
8
8
16
2
2
0
2
0
0
16
16
8
0
4
8
0
0
18
18
8
4
4
8
8
8
8
8
8
8
8
0
2
2
2
10
8
0
13
8
8
16
48
48
48
8
8
8
8
8
8
5
5
0
0
8
8
3
1
1
1
1
0
8
0
8
8
0
0
0
8
8
0
16
16
16
16
0
8
0
0
32
1
1
0
8
8
8
8
16
16
16
0
0
16
16
16
16
16
16
8
0
8
8
3
33
0
0
0
8
8
8
24
8
8
16
0
0
0
56
56
4
4
1
0
0
4
4
4
4
4
16
8
0
0
0
8
2
8
8
8
16
16
16
16
16
16
16
32
32
8
8
24
0
0
9
1
52
52
2
16
24
16
8
8
16
29
8
8
1
16
16
16
16
32
16
8
8
8
8
0
48
48
8
21
21
21
0
8
8
16
16
0
0
0
24
24
8
0
0
0
0
8
16
1
0
0
16
8
4
4
4
4
0
0
0
16
18
2
0
16
16
16
0
0
8
8
8
8
8
0
8
8
9
0
0
0
0
18
8
1
1
1
0
0
18
8
8
8
8
8
0
8
8
2
40
0
8
0
9
8
8
8
8
8
8
10
10
16
16
16
18
32
32
12
12
12
0
4
4
4
24
4
4
16
16
16
16
16
0
0
8
8
8
16
9
1
0
0
16
8
8
8
8
8
1
16
16
16
2
0
0
0
0
0
0
0
16
16
16
8
0
0
0
0
8
0
0
0
0
8
32
1
0
0
0
40
16
8
8
8
24
16
1
1
1
1
1
1
16
4
4
4
4
4
8
0
8
8
8
18
32
8
8
8
9
9
16
16
0
0
0
0
0
4
0
0
0
0
2
4
16
0
8
8
8
0
24
40
8
8
8
8
8
8
8
8
8
8
8
8
0
50
50
50
8
0
0
32
32
8
8
8
16
8
4
8
8
8
0
0
0
49
18
18
8
8
16
16
0
4
8
8
0
8
1
1
1
8
8
8
8
0
16
1
1
8
8
16
16
16
16
8
8
0
8
8
8
8
13
13
8
8
4
16
16
16
16
8
16
0
0
0
16
16
18
8
8
0
2
2
39
16
16
16
0
0
16
8
0
16
8
0
24
24
24
8
0
0
0
8
32
32
32
32
0
4
1
16
16
16
0
0
0
0
0
0
0
2
2
4
8
8
8
8
8
8
0
16
16
0
0
8
26
0
0
8
8
0
8
8
4
8
16
0
0
8
0
4
0
0
16
16
8
8
4
8
8
0
0
8
4
4
8
8
0
16
16
0
0
16
16
16
16
17
16
8
0
0
0
8
8
8
8
16
16
16
16
56
2
16
8
24
24
24
2
0
0
12
20
0
26
8
8
0
0
8
8
8
8
8
8
8
21
0
8
4
16
8
8
8
16
16
8
0
0
0
0
8
0
0
0
0
8
8
1
1
0
16
8
1
1
1
1
1
2
16
8
8
8
8
8
8
0
9
0
0
16
16
16
16
24
0
1
1
1
8
8
8
16
16
0
16
16
16
16
16
16
16
16
16
0
32
26
8
8
25
25
48
16
0
12
12
16
16
0
1
16
16
16
16
0
0
2
0
0
0
24
16
0
0
4
10
0
24
16
16
16
0
0
0
0
0
0
0
3
0
4
1
8
9
8
0
3
18
8
0
0
8
8
8
2
0
0
8
0
0
16
12
12
12
12
5
4
4
1
0
0
4
4
4
8
0
16
16
16
16
16
16
21
21
4
16
24
16
0
8
8
0
8
8
8
2
2
0
0
0
0
0
0
0
1
8
0
0
0
0
0
2
0
0
16
16
16
16
16
16
1
1
1
1
2
2
8
0
0
0
4
4
4
16
16
16
0
8
8
8
23
16
16
8
8
0
4
0
0
2
18
8
8
8
8
0
0
16
16
16
6
6
6
6
60
8
0
5
0
16
16
8
8
0
20
8
0
0
8
16
0
8
8
8
8
14
14
14
14
14
16
13
5
1
1
1
0
4
8
8
16
8
8
1
1
0
4
0
16
0
0
8
4
4
24
24
24
8
8
8
8
8
16
0
0
0
0
0
16
16
16
8
8
8
8
8
2
4
8
8
8
8
40
1
1
1
1
1
1
1
1
1
1
8
1
1
16
24
16
12
1
1
0
16
16
16
16
16
8
8
0
8
8
0
0
0
0
1
32
8
8
8
8
0
0
0
0
0
0
0
16
16
0
24
0
16
1
17
0
0
0
16
16
16
1
1
1
1
1
1
1
4
20
20
20
20
1
1
8
0
16
4
3
3
3
3
3
3
3
3
3
3
3
1
1
0
16
16
16
0
8
8
8
8
8
8
0
1
1
1
1
8
32
32
32
32
0
0
0
0
2
2
8
0
0
0
8
8
8
0
0
16
10
10
8
9
1
1
0
8
2
24
0
8
0
0
24
0
0
0
0
12
8
16
16
8
8
8
8
8
16
20
4
4
0
8
32
16
0
32
0
0
1
1
1
1
8
0
16
16
8
0
0
0
18
26
2
8
0
16
16
16
34
32
8
8
8
2
0
16
16
16
0
16
14
17
17
17
8
8
8
16
16
8
8
0
0
8
0
8
36
0
16
16
16
16
8
8
16
1
0
8
3
3
0
1
0
0
0
0
0
16
16
16
16
16
8
0
24
24
12
8
9
28
60
60
0
0
0
0
0
0
0
0
8
0
16
16
16
4
18
0
8
8
8
0
0
0
8
0
0
50
50
2
2
16
16
16
16
16
16
16
16
16
16
16
0
8
8
8
8
1
1
1
16
0
0
0
8
8
8
8
8
8
4
8
8
0
0
8
9
8
0
0
0
0
4
16
16
20
16
0
0
24
24
16
16
16
8
8
8
4
0
0
8
0
41
32
32
32
0
16
16
8
4
4
4
8
0
8
0
0
0
0
8
8
16
8
8
8
8
1
8
8
16
3
0
0
0
0
2
2
8
2
2
2
8
8
8
4
4
0
9
0
0
2
2
2
2
2
2
2
2
2
0
8
8
4
4
8
4
4
8
16
16
0
0
0
16
16
16
16
0
0
0
8
8
8
1
16
0
0
0
0
4
0
0
0
0
16
3
2
1
3
8
0
2
8
0
0
8
8
8
8
0
0
0
32
8
0
16
16
16
8
4
12
4
4
4
4
32
24
8
8
8
4
4
2
2
2
2
2
2
0
12
0
0
0
1
1
0
0
0
0
16
0
0
0
0
16
16
0
0
2
4
0
2
2
2
2
2
2
16
16
0
4
4
0
0
0
8
8
0
0
0
16
16
16
16
0
0
2
2
13
8
34
8
0
2
6
2
2
2
4
4
4
4
0
0
0
8
8
4
1
8
12
32
8
8
8
16
16
0
0
0
8
1
1
2
18
16
0
0
24
40
0
2
2
2
16
24
8
8
8
0
8
4
0
0
0
0
16
20
16
24
24
24
8
0
8
8
8
8
8
0
0
6
2
0
0
0
0
0
8
16
0
16
16
2
2
2
2
8
8
8
8
22
22
22
22
22
22
8
6
2
34
34
34
0
1
3
24
8
8
12
8
0
0
4
8
8
4
4
4
4
4
2
2
2
0
18
0
8
2
2
2
8
8
0
0
4
4
4
0
8
8
8
8
8
4
8
8
8
8
8
8
8
8
32
16
0
0
16
16
16
4
4
4
4
16
16
8
8
8
2
2
16
16
8
16
16
16
16
8
8
1
1
1
8
0
0
0
0
0
8
8
2
2
8
8
8
8
8
8
16
4
0
16
16
16
8
8
8
25
17
17
17
0
0
8
8
8
8
8
8
16
16
0
8
0
4
8
2
0
8
8
2
2
2
0
32
8
8
8
8
0
0
0
16
8
32
32
8
8
0
16
2
2
16
24
8
8
8
8
0
0
0
0
0
16
16
0
0
16
16
16
16
16
4
8
1
1
1
1
0
0
0
0
2
2
2
2
4
0
8
8
8
8
8
2
2
2
2
2
1
1
1
1
16
8
25
8
16
8
17
17
0
0
8
8
4
4
4
2
32
0
16
0
0
0
16
8
4
4
0
0
4
1
8
2
17
17
8
0
4
4
2
8
8
4
4
4
0
16
0
4
8
8
8
0
16
16
8
8
8
0
0
0
0
0
0
8
8
8
8
8
0
0
0
0
0
0
0
18
12
4
4
16
16
20
20
0
8
8
0
8
0
0
16
16
16
16
16
0
12
8
4
4
16
16
16
2
8
0
0
0
1
8
0
0
0
0
0
0
8
8
0
0
18
1
1
8
11
0
8
8
8
0
0
0
0
0
0
0
0
0
16
4
4
4
16
16
16
16
16
10
2
32
0
0
0
0
9
1
8
0
0
8
8
8
16
0
4
0
8
8
8
0
1
11
11
4
1
16
16
16
1
33
33
33
8
8
8
16
16
8
0
8
8
8
0
0
1
40
40
8
12
60
60
60
0
16
16
16
16
0
6
16
16
0
0
8
8
0
8
8
4
0
0
1
8
8
8
16
16
1
8
2
0
2
2
2
0
0
0
0
0
0
0
0
1
1
16
8
0
0
8
8
0
0
0
0
1
2
32
28
28
16
16
0
8
8
8
0
0
0
0
0
0
0
1
1
0
0
0
1
8
8
0
0
0
18
18
18
16
8
9
9
17
0
0
0
8
8
8
8
16
16
1
1
0
8
36
36
8
8
0
0
0
0
0
8
4
4
4
0
0
0
8
16
16
16
16
0
0
4
16
20
20
16
0
9
32
24
8
8
8
8
37
37
0
0
0
0
0
0
0
0
16
0
0
0
4
4
4
18
18
4
16
8
5
12
12
12
12
4
8
8
8
8
1
1
1
8
16
4
4
4
0
0
0
0
0
0
0
9
8
8
8
8
8
8
8
2
3
0
0
0
0
2
2
16
0
4
4
4
4
16
16
8
0
0
0
0
32
11
11
16
16
16
8
0
0
0
0
16
16
0
2
2
2
8
0
16
16
0
8
8
8
8
0
0
0
0
0
0
16
16
16
16
16
16
16
16
9
16
18
16
16
16
33
1
0
2
2
0
8
1
1
1
0
8
8
8
8
0
0
0
20
8
0
8
0
0
1
1
0
0
0
0
8
0
0
8
8
8
8
8
8
8
0
0
8
8
0
0
8
8
8
8
4
4
16
16
16
16
16
16
16
16
16
0
5
0
28
0
4
4
32
26
26
8
16
16
16
16
16
0
8
8
0
0
24
2
0
0
0
8
8
8
0
0
0
0
16
16
16
32
32
32
0
2
2
2
2
2
2
2
2
44
8
12
12
12
8
8
8
8
8
0
0
8
1
1
0
0
0
16
16
8
0
8
16
0
28
25
56
0
0
8
32
16
16
0
9
8
8
8
8
1
1
1
24
24
8
8
48
48
48
49
16
16
8
8
8
34
46
34
34
8
8
8
4
16
16
16
16
0
8
8
8
8
16
16
0
16
16
16
16
16
0
0
0
0
0
0
8
8
8
8
1
1
1
16
24
32
8
19
16
16
8
16
20
16
2
2
1
0
8
8
8
8
24
16
4
4
4
2
8
8
8
8
0
0
0
8
0
8
8
8
4
4
4
4
0
0
0
16
16
16
0
8
23
0
0
8
56
8
8
8
8
8
8
8
10
8
16
2
2
16
16
16
32
16
16
16
16
8
16
0
0
17
17
0
0
0
0
0
0
0
0
4
16
16
1
16
16
16
16
12
0
0
1
1
8
0
0
6
2
6
4
4
0
1
0
0
16
0
41
8
0
4
0
12
12
12
12
12
0
0
0
0
16
2
16
24
52
52
52
52
16
16
16
16
9
16
16
16
0
32
32
17
17
1
1
1
8
8
8
8
45
8
8
0
0
0
16
0
16
16
8
8
8
0
0
12
16
16
16
0
0
12
2
2
2
2
2
16
16
16
0
48
48
16
32
16
8
8
8
8
29
29
0
0
4
8
8
20
20
2
2
2
2
2
2
2
2
0
0
0
0
48
8
8
4
4
4
4
16
16
8
8
2
24
24
24
8
8
0
4
2
16
16
16
24
8
8
8
8
0
0
0
16
16
16
16
0
4
4
8
4
18
18
16
8
0
0
4
4
20
26
28
28
28
8
16
2
0
48
16
16
16
16
16
0
10
4
4
8
8
16
16
0
8
8
16
16
4
12
12
6
6
6
16
16
16
16
16
2
2
2
2
2
0
8
9
8
8
16
1
32
0
0
0
0
0
0
0
0
16
8
1
1
1
12
0
0
0
0
0
0
0
0
0
0
0
0
16
16
4
4
4
8
8
8
8
12
16
0
8
0
0
4
24
24
24
16
16
2
1
4
16
8
8
8
8
8
8
8
16
16
16
0
4
0
8
16
0
8
3
8
8
8
8
8
4
4
0
8
0
0
16
16
16
0
0
0
24
0
8
2
4
8
8
8
0
0
1
24
8
8
0
41
41
8
0
16
16
16
8
16
16
0
46
24
24
24
24
24
24
0
8
4
4
1
20
8
0
0
1
1
0
0
0
0
0
0
0
2
2
8
0
0
0
0
0
16
0
32
32
16
0
0
0
16
0
8
4
8
8
2
16
24
24
24
24
0
0
0
0
24
24
0
2
0
0
0
48
4
4
4
16
10
10
0
0
8
8
8
8
17
1
0
16
0
32
8
40
4
2
2
11
16
16
8
16
16
16
16
16
16
16
0
0
10
8
16
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
8
16
32
32
32
8
32
4
0
8
8
8
16
16
16
16
2
2
0
0
0
16
0
0
0
0
0
0
0
3
3
3
3
3
3
3
3
4
2
0
8
8
8
8
32
32
32
8
8
8
16
0
0
1
1
1
0
8
8
0
2
16
16
0
18
0
1
1
0
0
0
25
16
8
0
0
0
0
16
0
0
0
0
0
16
16
8
8
8
0
8
8
0
8
0
0
32
0
8
8
8
0
0
0
8
8
16
16
16
0
8
8
8
0
16
8
8
8
8
1
11
16
16
8
8
8
8
8
8
8
8
32
16
16
16
4
4
4
0
0
0
0
1
1
1
1
0
0
1
1
8
0
24
24
24
24
0
8
2
6
0
0
17
17
17
16
1
16
16
16
0
0
16
16
1
1
1
1
1
0
1
0
0
8
32
16
16
8
0
0
0
0
0
0
33
33
33
33
0
0
8
8
16
1
1
0
8
0
16
16
16
8
8
8
8
8
8
8
8
0
0
0
8
8
1
1
16
0
3
3
32
32
8
8
4
6
6
8
0
0
0
8
8
8
0
0
8
24
16
1
1
1
1
8
1
1
0
0
0
0
0
0
0
8
8
8
16
8
8
8
0
24
1
17
1
1
8
0
9
9
16
16
16
13
16
4
4
4
0
4
8
8
0
0
8
8
8
8
8
8
1
18
18
8
8
8
12
12
4
4
8
16
0
0
6
24
4
0
8
8
8
16
16
16
16
16
16
16
16
16
16
16
16
0
0
0
0
0
0
24
8
8
40
0
0
8
0
4
0
0
0
0
0
4
4
16
16
2
0
16
16
16
0
0
8
8
8
2
2
0
8
8
8
8
8
4
0
0
0
0
0
0
0
0
0
16
16
16
16
24
16
9
9
8
1
16
8
0
16
16
2
2
2
2
2
8
8
0
16
16
16
16
32
4
4
4
0
0
0
8
8
8
1
0
0
4
0
4
4
4
8
16
16
0
8
8
16
8
8
8
0
1
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
1
8
0
0
8
8
8
4
16
16
16
1
0
1
1
16
0
8
8
8
2
12
12
12
16
16
16
16
16
28
4
16
0
0
0
0
0
0
18
12
0
2
2
8
4
4
4
2
16
16
0
0
0
5
4
4
1
16
0
8
16
16
16
16
16
20
4
2
2
5
5
2
2
2
2
2
16
12
60
0
13
13
8
16
16
16
16
16
16
16
1
5
5
8
8
8
8
8
8
8
0
0
16
24
16
0
0
0
0
0
0
8
0
16
16
16
8
8
8
2
4
4
4
4
8
0
32
1
17
1
1
1
1
1
0
20
16
16
16
0
0
2
2
2
0
16
4
16
16
0
0
0
16
0
0
4
8
8
40
9
24
16
16
0
1
1
34
0
8
8
16
16
16
8
8
0
1
1
16
16
8
8
24
0
0
16
4
4
16
16
20
20
17
16
1
8
8
32
0
16
0
8
8
8
8
16
32
32
32
32
32
8
16
40
0
16
16
0
0
0
0
12
8
0
0
0
0
0
8
8
16
16
16
1
0
16
16
8
16
16
16
16
8
0
16
8
8
0
0
8
0
8
8
8
8
16
16
16
16
22
22
0
0
0
0
0
0
0
0
0
0
5
5
16
0
0
16
16
16
16
0
0
4
4
4
8
8
8
0
0
16
16
0
8
4
4
0
4
4
2
4
4
16
0
8
8
8
16
16
16
16
1
1
6
4
6
6
6
6
16
24
8
5
13
16
16
0
8
4
48
48
0
16
24
4
4
32
16
8
8
8
8
8
0
0
0
0
0
0
0
0
8
8
8
8
20
20
4
4
0
0
1
0
0
16
16
16
0
0
0
0
0
4
4
4
0
2
2
2
0
0
0
0
0
8
8
8
8
4
6
16
0
0
0
8
8
8
8
32
32
32
1
1
1
24
1
16
16
16
8
18
18
0
32
32
2
2
2
2
2
8
8
8
8
8
4
4
32
60
60
0
0
0
0
0
8
8
16
16
16
16
16
16
16
16
8
8
8
8
1
0
0
16
16
16
0
16
16
16
16
60
8
8
16
0
8
1
16
8
8
53
8
8
8
2
2
2
2
32
32
32
0
0
24
16
16
16
0
12
12
2
2
2
8
16
0
0
0
0
26
16
0
0
0
0
16
2
2
2
2
8
0
0
0
8
8
8
0
0
0
11
1
0
8
8
8
13
13
1
1
0
0
4
4
16
0
0
16
12
12
12
27
8
8
4
37
32
0
0
16
16
1
1
1
0
0
0
0
0
8
8
8
0
0
16
16
16
16
1
1
0
0
8
8
20
1
0
16
4
12
4
16
16
28
0
0
0
0
8
8
8
0
19
19
2
8
2
16
16
16
0
0
0
0
16
16
16
8
16
16
8
8
8
8
8
0
16
16
16
33
32
8
1
1
0
0
0
0
4
4
0
1
8
0
24
2
8
4
8
12
0
8
2
2
8
8
8
8
8
16
16
8
8
8
8
8
8
8
8
16
2
18
18
18
18
5
8
8
0
20
16
16
4
8
16
16
16
16
0
8
16
16
16
16
0
3
8
8
16
16
16
1
33
33
1
1
24
4
0
0
8
4
8
1
1
34
34
12
12
0
8
32
0
0
24
24
24
24
24
16
0
1
0
0
9
0
0
8
0
16
16
16
8
4
4
32
32
0
8
8
0
0
0
0
16
16
16
16
16
1
4
4
4
4
0
0
20
20
20
20
9
8
8
1
8
2
0
0
0
16
32
32
32
32
16
16
16
0
8
8
28
28
8
16
0
16
16
16
16
16
16
4
4
0
4
4
16
0
8
4
32
1
1
8
8
2
2
2
1
20
20
8
8
0
8
8
8
0
0
1
17
0
0
8
4
20
0
0
16
16
16
16
16
0
16
0
0
0
0
0
0
1
17
0
8
8
0
0
0
0
8
16
16
16
16
16
16
8
16
4
4
4
0
3
0
0
0
8
16
0
24
18
1
1
16
4
4
50
50
1
1
1
8
8
8
4
4
8
8
16
16
16
16
0
0
0
0
8
16
16
8
0
0
0
16
0
0
8
0
0
0
2
2
2
2
2
2
16
16
2
0
2
16
16
16
12
12
8
1
8
8
8
0
0
10
2
0
16
8
0
24
9
9
8
16
16
0
16
24
4
4
2
2
2
0
0
24
8
8
8
24
16
16
16
0
0
8
0
0
8
0
32
8
1
0
0
4
0
0
0
16
16
3
3
52
52
4
4
0
16
32
32
32
8
1
4
0
8
8
8
0
0
16
16
16
16
16
16
16
16
16
16
16
0
0
0
0
0
0
8
8
0
8
0
0
2
3
0
8
8
8
0
16
16
16
16
16
16
0
8
8
19
0
0
0
0
8
0
0
4
2
6
0
0
0
16
16
0
0
16
8
8
8
24
16
16
16
0
8
8
8
8
8
12
8
16
16
24
24
0
1
0
32
32
32
0
16
16
4
4
8
8
8
8
0
4
0
16
16
6
6
6
0
0
4
4
16
16
16
16
8
8
8
8
8
8
16
16
16
0
0
0
0
0
0
0
0
0
0
8
0
0
16
16
0
0
0
8
8
8
8
8
8
8
8
8
24
16
16
8
8
8
8
10
10
10
10
10
10
2
8
8
24
8
1
1
1
1
1
8
8
0
0
2
2
2
2
0
0
0
16
16
16
1
1
0
0
4
16
8
0
0
0
0
16
16
24
24
2
2
1
0
4
4
8
8
8
8
0
1
8
8
32
0
0
0
9
9
8
0
0
0
0
8
8
8
8
1
1
8
8
8
8
8
8
2
0
12
8
8
16
16
9
9
8
8
8
8
8
8
8
8
8
8
8
0
0
0
0
8
20
20
20
8
0
0
0
8
8
8
0
8
0
0
8
16
16
16
16
16
16
36
36
0
0
0
0
0
0
8
0
8
8
8
8
8
0
8
0
16
8
8
8
1
1
8
8
8
0
0
4
4
4
4
4
4
4
4
1
9
8
8
0
0
8
8
4
4
4
4
4
0
16
16
0
8
8
0
1
8
8
8
8
0
16
0
8
8
0
0
0
32
4
0
8
0
0
16
4
16
16
0
24
0
1
16
0
20
0
17
17
17
8
0
0
0
0
0
8
8
1
1
1
0
16
16
16
16
8
8
16
0
8
8
8
8
8
8
0
24
16
8
0
8
8
2
2
8
8
8
16
8
16
16
16
2
2
0
0
0
0
4
4
0
0
16
33
33
33
2
2
1
1
16
16
16
16
16
16
16
4
0
4
36
36
0
0
0
0
0
0
4
0
8
0
0
4
4
4
1
1
1
1
8
0
16
16
1
8
24
24
24
24
2
2
2
0
0
8
8
8
8
8
0
0
0
16
8
8
8
8
0
0
0
8
8
8
17
1
1
8
0
0
4
8
16
0
0
0
0
10
8
50
32
4
4
16
8
8
8
8
8
0
3
8
20
20
16
24
0
0
1
8
16
16
0
0
0
0
16
16
16
8
8
1
1
1
1
1
1
0
16
16
16
8
0
32
32
0
0
8
0
4
2
2
2
2
2
2
0
1
32
24
24
24
24
24
8
8
8
24
24
0
0
0
0
0
16
20
20
20
20
4
24
16
16
0
0
8
1
1
1
1
24
0
0
0
0
0
0
1
3
3
3
3
17
0
0
16
16
16
8
24
0
0
16
8
8
19
17
17
17
17
8
8
8
8
8
0
0
8
8
8
8
8
8
8
0
2
2
1
1
1
1
1
0
0
0
8
1
8
0
0
0
1
16
16
0
17
8
8
8
8
2
2
2
2
32
32
20
8
20
8
0
16
8
2
2
2
0
0
0
0
0
4
8
0
8
8
8
0
0
4
4
4
0
0
1
0
0
0
0
1
1
1
1
4
4
0
0
0
0
0
0
16
16
16
2
2
0
4
4
16
16
16
16
16
16
16
16
16
16
0
16
16
16
16
16
16
16
16
0
0
16
0
4
8
8
8
8
8
8
5
5
5
8
8
8
8
24
24
24
24
24
0
0
0
4
26
1
36
8
8
8
0
8
0
0
0
8
8
2
4
0
16
16
16
19
19
19
0
2
8
8
8
8
8
8
1
4
4
4
4
0
24
0
33
0
0
0
0
0
8
8
8
0
33
2
4
4
8
8
0
0
21
16
8
8
8
20
8
8
16
16
8
8
0
16
8
0
16
16
8
0
8
8
32
1
1
16
24
24
16
16
0
8
0
0
9
1
8
8
8
8
8
17
1
1
8
8
8
0
2
2
8
0
8
2
2
18
2
18
16
16
4
24
8
0
16
4
1
1
8
8
8
0
0
8
8
4
4
4
4
16
8
8
1
1
1
32
32
16
16
16
16
16
8
0
0
0
0
2
2
8
8
8
0
8
16
0
0
0
0
0
0
8
0
0
6
6
8
8
2
5
5
16
16
16
16
4
4
4
8
8
8
8
2
8
8
2
2
2
1
1
1
1
1
16
8
8
8
8
8
1
8
8
8
0
0
2
16
0
2
10
8
8
8
2
16
16
57
8
3
3
8
0
0
8
16
16
8
8
0
8
9
0
56
8
8
24
8
1
0
28
8
8
16
0
0
0
0
16
17
8
2
0
0
24
24
0
0
0
4
12
12
8
8
24
0
8
8
16
1
8
29
29
29
16
0
0
0
0
4
4
8
0
0
16
4
4
4
4
0
21
21
4
4
8
0
38
8
8
0
0
0
8
24
8
8
0
1
1
1
25
2
0
8
8
8
8
8
8
0
0
0
8
8
24
24
24
24
52
52
0
16
0
0
0
0
32
0
0
0
8
0
8
8
32
16
16
0
8
8
16
16
16
4
16
20
16
16
0
0
2
16
16
16
0
0
8
8
1
4
4
18
4
4
4
4
8
0
0
4
16
8
0
0
0
0
0
0
8
12
0
0
0
0
0
8
8
0
0
0
16
8
8
8
0
16
1
0
8
8
0
8
8
2
8
0
1
0
8
8
0
8
1
0
0
0
24
8
8
8
24
0
0
0
0
0
0
0
0
16
16
16
4
16
27
16
16
8
0
0
0
0
26
26
4
4
0
0
0
0
4
4
4
32
32
0
0
0
0
8
0
8
8
0
0
8
32
32
1
1
1
1
1
1
1
1
8
16
4
16
8
8
4
1
16
16
6
6
20
20
0
0
0
16
2
8
8
8
8
8
8
0
16
56
56
8
0
32
0
8
16
16
16
8
8
8
8
8
16
16
16
16
16
16
16
16
8
8
8
8
16
16
24
8
1
8
8
8
0
8
8
16
16
16
16
20
20
20
4
4
1
32
4
4
4
16
16
8
0
0
0
4
16
0
8
8
8
8
8
9
9
9
24
24
24
8
8
8
8
2
8
0
0
0
0
0
18
16
16
16
16
16
16
16
16
24
24
24
0
0
0
3
16
0
8
1
8
24
8
8
8
8
8
8
8
4
4
4
4
4
2
9
9
0
0
0
8
8
16
16
0
0
0
0
8
0
1
16
16
16
1
1
0
2
16
33
0
32
0
24
8
8
8
2
2
24
8
8
8
8
0
0
16
8
8
8
8
16
16
0
0
33
4
4
0
0
4
0
0
18
1
16
16
8
8
8
8
24
8
8
8
0
8
8
0
0
0
16
16
0
0
0
0
0
16
8
8
4
4
1
2
2
16
16
16
16
16
16
0
0
0
0
0
2
2
2
8
8
4
32
8
8
17
17
17
28
0
0
0
0
8
8
8
8
8
8
8
8
8
0
48
0
4
8
16
16
16
16
16
8
8
1
1
0
16
16
16
16
16
1
1
1
2
2
2
32
50
50
50
0
0
0
1
1
16
16
0
0
4
0
0
0
0
16
16
16
0
2
0
8
16
16
4
16
16
0
0
0
0
0
0
0
0
0
10
8
12
2
0
48
48
48
24
1
0
1
16
8
8
8
8
8
4
0
8
11
9
9
16
8
8
8
16
0
0
0
8
8
8
0
0
8
8
8
32
32
0
0
0
0
0
0
0
0
0
12
8
4
0
0
12
12
12
12
12
12
12
12
12
12
12
1
1
1
1
16
24
8
8
41
8
8
16
0
0
8
0
4
4
8
8
8
8
26
26
9
0
8
0
8
8
2
16
16
0
16
16
16
16
1
21
21
21
0
0
20
6
0
0
10
8
8
8
0
16
32
32
32
32
9
1
0
8
0
8
8
0
1
2
8
10
8
8
8
0
0
0
16
1
8
8
0
0
0
0
8
13
5
5
16
1
0
0
0
0
8
0
0
1
1
4
4
0
1
1
8
8
8
25
25
25
25
25
25
16
8
8
16
16
4
0
0
0
0
16
0
3
3
3
32
32
4
24
0
16
16
16
8
8
8
8
2
8
24
2
8
32
32
32
8
8
8
0
2
0
0
0
8
8
8
0
17
17
2
2
0
8
8
8
8
8
8
8
8
32
32
0
8
0
16
4
0
8
1
0
4
16
8
16
16
1
16
16
0
2
2
8
8
8
8
8
0
16
16
0
0
0
0
8
8
17
8
0
16
16
0
0
8
24
0
4
4
4
4
48
48
48
8
8
4
4
4
8
0
0
0
8
8
4
4
8
2
2
0
0
0
0
0
0
0
32
33
33
32
32
32
32
16
12
12
12
24
40
8
0
0
4
4
4
4
16
16
8
8
8
8
8
8
8
32
0
0
0
0
0
16
16
0
24
16
16
8
8
8
4
4
0
0
0
16
16
8
8
0
2
2
8
8
16
0
0
8
0
0
0
0
0
0
8
8
8
8
0
0
2
2
2
16
16
0
1
1
1
16
16
2
8
0
0
8
16
16
1
1
1
1
16
0
8
8
8
8
8
24
24
24
0
17
17
17
17
8
4
8
8
8
8
8
8
16
1
0
8
8
8
8
16
16
16
0
2
2
2
8
8
1
0
0
0
0
26
16
16
4
16
0
0
1
1
8
8
0
8
1
8
8
0
0
16
16
16
16
16
0
0
0
27
16
8
0
0
0
24
17
8
8
8
8
8
8
8
8
17
1
1
1
0
12
0
1
1
1
0
28
0
24
24
16
16
16
1
1
1
2
1
0
16
16
16
0
0
8
8
4
8
8
8
8
8
17
17
12
8
8
4
4
4
4
4
4
4
4
4
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
8
8
8
8
8
8
0
0
0
0
4
1
23
23
3
20
0
4
4
4
16
16
16
16
0
0
0
0
0
1
1
1
1
0
0
18
0
8
0
0
32
0
0
0
0
0
28
28
12
0
0
0
0
0
0
8
2
6
16
16
8
0
8
2
2
2
0
20
0
4
4
16
16
16
16
16
8
0
16
16
16
16
16
8
32
4
1
16
20
0
16
0
0
0
8
8
16
16
16
16
0
8
8
8
4
4
2
2
27
27
27
24
49
49
49
49
0
0
0
16
16
16
1
1
8
0
0
0
0
16
1
8
16
0
24
24
32
32
32
32
16
16
0
40
8
0
0
2
2
2
2
0
0
16
16
16
0
8
8
8
16
8
8
0
0
0
0
24
0
0
0
0
0
0
0
4
4
4
1
8
16
0
0
0
8
8
4
4
4
4
4
4
1
1
1
0
8
4
4
4
4
0
4
4
2
2
2
2
2
16
16
0
8
8
0
32
20
4
4
8
8
8
0
4
16
16
16
16
8
0
0
8
0
0
0
0
8
8
8
8
8
8
8
24
0
0
0
0
1
1
1
8
8
8
6
6
8
4
28
4
5
50
16
2
16
9
4
4
17
17
17
17
8
16
8
0
8
16
8
8
0
0
2
2
2
2
2
0
0
0
32
32
32
32
32
32
0
16
8
2
2
0
16
16
16
16
8
8
8
1
0
0
8
0
18
0
2
2
2
0
16
16
9
0
16
0
0
0
1
1
1
1
16
16
16
16
16
16
8
24
24
24
24
8
1
8
8
0
8
8
8
16
16
16
16
24
8
8
8
8
0
4
0
0
0
32
8
17
8
8
16
1
8
40
2
6
40
32
32
32
32
32
32
16
0
16
16
8
8
8
2
3
1
2
0
0
0
0
1
8
0
0
0
16
16
40
8
8
16
24
24
24
24
27
27
2
2
2
24
2
24
24
2
2
0
0
0
0
4
0
0
16
20
1
8
8
0
0
16
4
12
33
10
8
8
8
8
0
0
0
20
16
16
0
4
4
24
8
8
8
24
16
8
8
60
60
60
60
60
4
0
0
0
0
0
0
0
8
4
4
16
16
16
16
16
16
1
0
6
6
8
0
16
16
0
8
2
0
0
17
17
0
0
0
0
8
16
8
8
8
2
2
2
2
16
16
16
16
8
8
0
8
25
8
8
0
8
4
16
8
8
32
32
50
32
4
4
4
8
24
4
8
8
8
8
8
8
8
4
0
4
4
4
4
8
8
16
0
8
8
2
2
16
8
8
24
0
0
16
8
8
25
8
8
8
8
0
0
0
1
1
36
36
36
36
4
1
11
11
11
11
0
0
16
16
32
33
32
32
32
8
0
2
1
0
16
8
8
8
8
1
1
0
16
8
16
48
48
0
0
12
16
8
0
2
2
2
8
0
0
8
8
8
34
2
0
8
0
8
8
0
0
16
16
16
16
40
56
56
4
1
1
0
0
0
4
4
16
0
0
36
36
0
24
32
32
32
32
32
8
8
8
8
8
8
8
8
8
8
1
32
32
32
32
32
0
0
1
1
1
1
9
1
1
1
2
5
0
0
0
0
16
16
0
0
8
8
8
2
8
0
0
16
16
16
16
18
18
18
8
24
16
16
8
6
6
8
16
32
32
0
0
0
4
4
8
8
8
8
53
16
16
16
1
8
16
8
0
0
0
1
1
1
1
0
0
16
16
16
8
4
0
40
40
2
8
18
16
16
16
24
8
2
16
16
16
16
16
8
24
8
0
4
0
2
2
2
2
2
2
8
8
8
0
0
8
0
8
16
16
16
16
35
35
35
1
1
1
0
8
8
16
4
4
4
8
8
8
8
8
8
8
0
0
8
8
0
0
2
16
16
17
16
16
0
8
4
4
4
4
4
16
24
8
8
0
8
19
16
0
0
0
0
6
6
6
6
0
0
4
16
16
16
8
6
4
4
2
2
2
4
0
0
2
2
2
0
8
8
8
0
0
0
0
0
0
24
0
32
44
8
8
12
0
0
0
0
0
0
8
8
8
8
1
1
0
0
0
8
8
8
8
1
1
8
0
0
34
2
0
0
0
16
1
0
6
0
8
24
1
12
12
41
0
18
2
16
16
0
16
0
16
44
44
44
44
9
32
32
32
8
16
16
0
0
16
16
16
16
2
2
2
57
8
8
8
0
0
1
1
8
8
16
16
0
8
16
8
0
0
0
0
4
4
4
4
2
2
2
8
8
0
0
0
1
1
0
0
0
24
8
0
0
0
8
8
8
8
8
8
8
0
0
0
0
4
4
0
16
8
1
1
1
16
1
1
4
4
0
4
16
16
16
16
0
53
0
0
0
8
8
8
8
12
17
16
4
4
4
4
2
2
2
2
2
2
2
24
40
4
4
4
4
0
16
8
8
8
22
16
16
32
0
22
1
1
8
16
1
1
16
16
16
18
16
8
8
8
0
40
16
20
16
16
16
0
16
16
4
4
4
8
16
16
16
16
5
20
20
20
16
32
16
1
43
8
0
8
8
2
2
8
16
16
16
17
16
16
16
0
0
0
0
0
0
8
8
8
4
4
8
8
8
8
24
32
2
0
4
4
8
8
2
8
8
8
8
0
0
0
8
8
8
8
4
0
0
0
0
0
0
0
0
0
16
8
0
18
2
2
48
0
1
1
0
0
0
0
2
2
2
16
0
0
0
8
8
19
1
1
1
8
8
8
8
40
40
40
0
0
1
9
9
8
8
8
4
16
8
16
16
16
16
16
0
8
8
8
16
0
4
4
24
16
16
16
16
8
0
16
4
16
16
16
1
1
1
0
0
2
8
8
1
1
4
4
16
16
16
16
4
4
8
8
8
8
8
0
0
9
8
8
16
8
16
16
0
0
0
0
0
4
4
1
0
4
16
36
32
8
0
0
16
1
1
3
0
0
0
0
0
0
8
8
8
2
16
16
8
8
8
0
0
0
8
8
24
24
24
24
1
1
16
16
16
16
16
16
0
0
4
4
0
0
0
1
0
0
0
0
0
0
16
16
21
32
0
8
8
8
8
8
0
0
0
0
0
0
16
8
0
0
8
16
0
0
0
8
8
0
0
8
8
8
8
8
0
0
0
0
2
16
8
0
1
1
1
0
0
0
8
8
8
0
0
0
16
16
16
0
0
0
8
16
0
0
16
16
16
16
8
8
4
8
8
8
8
16
16
16
16
16
16
16
16
12
0
0
8
8
8
8
12
12
0
33
16
16
2
2
8
8
8
0
0
0
0
8
8
4
4
1
1
1
1
0
0
0
1
1
16
16
2
2
2
0
0
32
48
8
8
8
8
0
24
2
16
16
0
0
0
0
0
0
16
16
8
16
18
16
0
0
16
8
8
16
0
24
8
0
1
1
16
16
0
1
24
8
4
2
8
8
0
16
24
24
20
0
16
16
8
8
0
5
4
4
4
4
16
16
4
0
0
4
4
0
0
0
0
18
18
8
8
0
0
8
4
20
20
20
0
0
0
4
0
0
24
16
16
16
0
2
16
0
0
1
1
16
16
16
16
16
16
0
0
12
0
0
0
28
28
28
4
8
8
8
4
4
4
4
4
4
1
1
0
8
8
8
8
8
0
0
16
16
16
2
16
16
8
24
24
24
24
24
0
0
8
4
4
4
0
16
16
16
16
0
0
16
0
8
12
12
2
2
2
2
2
8
0
8
0
38
16
8
8
8
8
8
8
0
0
16
16
16
8
8
8
0
8
8
8
8
8
8
16
4
4
4
16
1
1
1
1
8
1
4
0
0
24
8
8
4
4
4
8
18
8
8
9
8
8
0
8
0
24
16
8
8
16
8
16
1
8
8
10
0
8
0
22
22
1
8
8
12
8
8
8
8
2
2
2
2
0
12
32
32
0
0
0
0
0
0
8
8
32
32
32
32
8
0
0
0
4
8
8
16
16
16
2
0
8
8
8
2
0
8
8
8
8
2
2
2
0
0
0
16
16
16
0
0
8
1
24
24
24
24
1
16
16
6
8
8
32
16
4
0
0
12
12
12
16
16
16
16
8
8
8
8
2
24
1
24
4
16
16
17
4
4
4
32
32
32
12
1
1
1
8
0
1
1
1
16
16
0
16
16
0
4
4
4
8
8
10
8
8
8
1
1
1
8
2
4
4
1
1
0
12
16
0
0
0
8
0
8
8
8
8
8
8
8
0
0
0
8
0
0
0
8
1
9
9
0
16
12
32
0
0
0
8
8
8
8
8
0
2
2
4
4
16
16
16
2
2
2
0
0
0
0
0
0
2
2
2
16
4
19
19
19
2
2
2
2
2
2
0
0
8
0
0
1
1
8
12
16
16
16
0
4
4
4
4
4
4
4
8
16
8
0
0
8
8
8
0
32
8
8
4
4
4
4
4
4
0
0
16
4
20
25
1
8
8
0
16
24
1
16
8
8
8
0
16
16
16
0
0
16
9
1
8
0
1
1
8
8
16
20
20
0
24
16
1
1
1
1
8
8
8
8
0
8
0
4
4
4
8
8
0
0
1
4
0
1
1
0
0
0
0
0
0
0
4
32
32
4
4
4
8
12
12
12
0
8
8
16
5
4
4
0
4
5
4
4
20
20
16
16
16
16
16
16
16
16
0
8
8
0
8
8
8
8
8
8
1
2
2
16
1
0
8
8
0
8
8
0
4
32
32
32
16
16
16
16
0
0
16
16
0
0
8
1
1
1
1
0
0
0
0
8
24
24
24
24
24
8
8
8
1
1
1
1
9
8
8
8
8
8
16
16
8
8
8
16
16
16
0
2
0
2
2
32
32
32
2
2
16
16
16
32
0
0
0
16
16
16
0
0
0
8
8
8
0
0
8
8
16
16
0
16
16
16
2
17
0
0
8
16
16
0
0
21
0
1
1
0
8
8
8
8
0
0
2
0
0
16
16
16
16
16
16
0
8
9
9
17
17
1
1
1
1
0
8
0
1
1
1
1
0
8
8
8
8
8
8
8
8
8
8
14
14
14
8
8
8
8
8
8
8
8
8
8
8
16
8
16
8
1
4
8
24
0
2
2
2
2
2
8
8
16
16
1
1
1
24
8
8
8
9
9
0
16
0
0
16
4
0
0
0
0
48
0
17
8
2
16
16
16
4
4
8
6
0
8
4
4
8
0
24
24
24
8
8
8
8
8
8
0
8
26
2
16
1
16
16
8
8
8
8
8
1
8
8
18
4
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
4
0
0
8
0
0
0
18
0
4
4
8
8
8
4
4
0
1
1
1
1
1
24
0
2
2
2
16
16
16
8
0
0
0
0
0
4
4
4
16
1
17
17
17
17
17
2
2
16
8
8
0
8
8
16
0
0
27
27
12
24
0
0
0
14
14
2
0
4
4
8
8
8
16
8
8
8
1
4
2
2
2
2
2
32
32
32
8
16
16
0
0
0
4
16
1
4
6
4
16
0
0
18
0
8
16
4
0
0
2
2
2
8
0
0
8
8
0
0
8
8
16
16
16
1
2
11
3
3
3
3
16
8
0
0
0
4
4
4
8
16
16
16
0
0
16
0
20
8
8
4
8
8
8
8
0
0
16
1
1
33
32
8
8
1
16
16
0
4
0
0
0
0
49
49
10
10
2
2
12
2
0
0
16
0
0
0
16
16
0
0
0
16
16
16
16
16
16
8
8
8
8
8
8
8
0
16
24
8
8
0
0
0
0
0
16
16
0
0
2
0
8
8
8
0
0
0
0
0
9
9
1
12
8
16
8
8
17
17
17
17
17
17
25
25
25
8
16
16
16
16
16
8
4
8
8
8
8
0
0
1
1
24
24
8
8
8
8
4
4
4
0
16
22
16
0
0
24
0
0
16
6
4
2
2
2
8
8
8
0
8
8
8
8
1
12
12
8
4
4
4
4
4
0
0
16
2
2
0
20
2
0
8
0
2
2
2
0
0
16
16
16
16
2
8
20
20
20
20
20
20
32
57
57
18
18
18
0
2
0
0
2
0
4
0
4
4
4
4
8
8
8
1
1
1
8
0
8
32
32
0
16
16
16
8
16
16
0
8
8
8
8
8
10
8
0
0
2
4
4
4
0
8
8
8
8
16
16
4
12
8
8
8
0
0
0
0
0
0
4
4
4
4
4
36
4
4
4
4
0
0
0
8
0
24
24
16
6
8
16
16
0
0
0
8
0
0
16
40
32
0
0
8
8
1
1
1
1
1
0
0
0
0
0
16
0
0
0
8
8
8
0
0
10
12
12
8
0
0
8
16
16
2
2
30
16
0
8
8
20
16
16
0
0
2
32
1
2
2
4
0
0
0
0
0
58
16
16
20
8
8
12
4
8
12
4
32
1
32
32
32
0
0
2
2
16
16
16
8
4
4
8
8
8
0
0
4
16
16
16
40
8
8
1
0
0
4
20
16
24
0
2
2
16
16
16
16
8
8
8
8
8
8
16
5
5
0
0
24
8
16
0
16
16
0
16
0
0
0
0
0
4
4
1
1
1
1
1
1
8
2
0
8
8
0
0
8
8
8
1
1
8
8
8
16
24
24
1
1
25
1
1
40
0
0
4
0
0
0
16
16
16
0
8
16
0
0
8
8
8
8
8
8
16
1
0
32
32
1
2
2
2
2
2
4
8
8
8
0
0
8
8
0
0
8
40
32
32
32
32
0
16
16
16
0
2
0
15
15
0
0
8
8
8
8
16
16
16
0
8
8
4
4
4
4
4
32
0
8
16
4
8
8
0
4
4
8
32
8
32
4
4
0
0
38
16
16
16
2
2
2
2
2
2
0
0
2
1
1
11
8
2
0
0
4
0
0
8
0
2
2
2
0
8
8
0
32
40
0
0
0
16
1
0
0
0
4
0
0
12
12
16
16
16
16
0
0
8
8
20
2
0
3
16
16
16
16
16
16
16
16
30
4
0
0
0
0
32
32
32
32
8
17
17
1
0
12
0
0
8
8
16
16
8
16
1
1
12
4
4
8
8
8
0
0
16
8
1
1
1
8
0
0
0
8
2
2
2
2
16
8
2
1
0
0
0
4
4
16
8
8
8
16
0
0
8
8
8
8
8
8
25
0
0
8
8
12
0
16
16
16
16
16
16
16
8
0
8
24
32
16
2
8
0
32
1
1
0
32
32
32
3
2
2
2
0
0
1
0
16
4
4
12
24
24
0
0
0
0
0
16
16
16
8
1
17
16
16
16
0
16
24
16
0
0
8
8
8
8
24
24
8
8
8
0
16
16
16
16
8
0
0
16
16
16
16
0
0
16
16
24
24
24
5
1
3
0
16
16
8
8
0
0
0
24
2
6
6
6
0
0
0
8
8
8
16
16
16
2
2
2
2
8
8
8
8
8
16
16
16
16
16
16
16
16
16
0
8
16
16
16
16
0
16
32
32
16
0
0
16
0
0
0
0
2
2
2
2
16
16
16
16
16
16
24
16
1
8
8
0
4
0
16
16
0
4
4
32
0
6
6
0
0
0
0
0
16
16
16
16
8
0
0
16
8
8
4
4
4
4
4
8
0
0
0
0
0
0
0
0
38
8
4
4
8
8
8
8
8
8
8
16
16
16
16
0
8
8
0
16
16
16
6
0
20
16
16
4
4
0
0
0
18
16
8
2
8
8
24
0
0
0
0
20
20
20
20
8
26
26
16
16
2
8
0
0
28
8
2
1
3
1
24
16
0
0
12
4
4
1
1
1
0
8
8
8
8
8
16
0
32
32
32
12
8
8
8
0
0
8
8
0
2
0
4
0
0
0
0
2
16
1
16
16
16
16
16
16
0
0
0
0
1
17
1
1
0
0
0
0
0
0
0
0
0
8
8
8
9
9
0
16
16
16
6
6
6
4
8
4
1
8
1
1
8
16
18
16
8
0
0
8
0
8
16
16
2
16
16
8
8
0
20
4
4
4
4
8
0
0
0
52
32
2
2
2
2
2
0
16
0
0
0
0
16
16
1
8
8
1
1
0
8
16
0
0
0
8
8
0
0
0
16
1
2
4
4
4
16
1
17
17
8
16
8
0
0
0
2
2
2
2
2
0
4
4
4
4
16
16
32
32
32
32
8
0
0
0
0
16
16
0
9
0
8
8
8
5
5
0
0
8
8
8
32
32
32
4
0
0
16
16
0
8
8
16
16
16
16
16
16
1
1
1
8
8
8
8
6
0
16
16
16
16
16
16
16
16
16
16
0
16
20
0
0
0
8
0
4
16
16
0
8
8
8
0
2
16
16
0
1
0
1
1
1
1
27
0
0
8
0
0
0
4
4
0
0
10
10
4
8
0
0
4
4
30
0
8
0
0
16
16
1
16
8
8
16
16
0
27
0
8
8
1
24
24
8
8
8
16
0
0
0
8
26
8
0
0
24
10
8
10
16
16
16
16
16
6
2
2
2
17
1
1
1
1
1
1
1
6
6
6
0
8
8
8
8
8
16
16
16
16
16
16
8
0
0
8
0
8
2
20
0
8
1
1
14
2
2
2
2
2
16
2
4
4
24
0
0
8
8
8
17
17
0
8
0
0
0
0
8
0
8
8
10
4
8
8
8
0
0
16
16
16
16
0
8
8
0
0
8
0
0
4
4
2
2
6
2
16
16
8
8
8
8
0
8
8
8
0
24
24
4
4
4
0
16
16
16
32
1
24
24
24
24
0
0
8
8
8
24
24
8
0
2
1
1
8
8
16
16
16
0
8
0
16
20
0
8
0
17
17
24
8
8
16
16
16
8
40
8
0
0
8
8
8
0
8
8
8
4
0
0
0
0
8
8
8
0
0
0
0
33
33
0
0
8
2
48
16
8
16
16
16
16
16
0
0
32
32
32
0
0
5
2
2
2
10
1
1
8
32
0
8
8
8
0
4
16
16
16
8
0
8
0
0
0
0
8
4
4
4
0
16
16
0
1
8
8
8
1
1
1
16
0
24
24
2
8
8
0
8
16
8
0
0
16
16
8
8
8
8
8
0
1
1
1
1
0
1
4
0
0
0
0
0
0
0
8
3
2
26
2
0
8
8
24
24
24
0
1
8
0
8
8
8
4
4
0
0
0
8
40
32
0
0
16
16
16
16
8
8
24
1
1
1
1
1
8
8
16
16
16
16
8
8
8
8
8
8
4
4
8
0
0
0
8
8
8
8
4
4
28
12
0
2
2
16
16
16
0
4
4
0
0
0
2
0
0
0
8
8
0
8
8
8
0
0
8
8
4
4
4
8
8
8
8
8
8
1
0
0
2
2
8
8
8
8
16
16
16
16
56
0
0
8
8
4
4
4
4
0
0
0
8
0
0
0
16
16
4
16
16
16
16
16
8
8
0
0
0
0
44
0
0
22
22
8
37
37
37
37
16
16
39
39
39
39
39
0
0
16
0
0
0
0
0
16
16
0
16
8
12
8
16
8
0
4
8
0
8
8
8
8
0
0
0
8
8
8
8
0
0
0
0
0
0
0
16
16
0
0
16
16
0
0
16
8
1
1
0
9
4
20
20
20
8
8
8
26
8
0
0
0
8
8
8
8
8
16
4
16
16
16
16
16
16
4
11
4
8
2
2
2
9
9
32
32
16
16
16
0
0
0
4
0
4
4
8
8
8
8
1
0
16
4
0
0
0
0
16
0
0
8
8
8
52
4
4
16
16
16
0
0
32
32
2
16
2
2
2
0
0
0
0
4
4
0
0
0
0
0
0
17
17
8
8
0
0
0
8
8
16
8
0
0
0
8
8
8
8
2
2
2
5
5
8
8
8
8
8
16
16
32
40
16
1
9
1
1
1
1
1
1
0
32
32
4
8
0
0
24
8
8
9
9
0
10
10
4
8
8
8
0
1
16
16
0
0
8
16
16
0
8
4
28
4
0
8
0
0
1
8
16
16
16
8
1
16
16
16
16
48
12
8
24
4
4
4
16
4
4
0
32
32
32
32
5
0
0
0
0
8
8
0
0
0
0
0
0
16
16
20
8
8
8
8
8
8
8
4
8
8
0
2
18
18
20
49
8
0
1
1
0
16
4
0
0
4
16
1
1
8
8
8
8
8
8
8
0
8
0
16
16
16
16
0
0
2
2
2
4
4
0
0
0
0
1
8
2
16
16
4
4
4
8
0
8
24
20
0
1
0
0
8
0
0
0
16
16
32
32
16
4
4
4
4
4
4
4
2
4
0
8
26
26
8
8
8
16
8
16
16
16
16
16
8
8
0
8
26
8
8
0
0
2
8
8
9
9
4
16
8
0
8
0
0
0
0
8
16
8
24
0
2
8
0
0
0
0
8
8
8
1
0
8
8
8
2
2
2
32
0
4
4
4
4
0
8
0
0
1
1
8
8
8
16
16
16
16
16
16
16
4
4
8
4
8
8
8
0
5
16
16
16
16
8
8
8
8
8
2
8
4
8
0
4
4
4
4
16
16
0
24
1
1
1
8
8
8
8
8
0
0
0
4
4
8
1
1
57
48
0
0
0
8
8
24
24
4
4
17
17
16
16
16
16
16
16
16
24
16
16
16
16
16
16
16
8
16
8
8
8
16
16
16
2
8
8
8
8
8
8
18
2
2
2
20
16
0
8
8
0
8
8
8
8
8
8
8
8
8
16
16
16
16
16
16
16
8
16
1
32
32
8
0
0
24
8
8
8
8
8
8
8
8
16
16
8
2
2
20
8
0
0
2
8
8
0
0
0
8
8
32
0
9
9
0
0
0
4
4
4
4
0
8
2
9
24
8
9
9
24
24
24
24
16
16
1
16
1
1
1
0
16
16
16
8
0
0
24
0
0
16
2
2
2
16
16
16
16
8
4
32
8
8
0
8
8
1
4
4
2
2
1
1
1
0
0
4
8
0
0
0
4
8
24
24
24
2
2
0
0
12
1
1
0
0
8
24
8
3
28
0
0
0
0
16
32
0
24
8
16
16
16
1
16
16
16
16
2
4
16
16
16
18
16
0
0
0
0
0
4
4
4
8
0
20
20
0
0
4
0
0
1
16
16
16
16
16
16
16
32
32
1
1
1
1
1
10
0
52
8
8
8
0
0
0
0
16
16
16
16
16
16
16
16
16
0
0
0
0
0
4
4
4
4
8
2
2
2
2
2
0
0
0
0
1
1
1
8
8
8
8
1
0
0
24
8
8
8
17
17
2
2
16
16
16
16
48
8
4
1
1
1
1
28
28
40
32
32
32
32
32
32
32
16
16
1
4
4
4
0
0
0
8
8
8
0
8
8
4
32
32
42
42
42
1
1
1
8
0
0
4
16
16
16
17
17
4
8
16
16
16
16
0
4
4
40
1
40
1
40
10
32
0
20
20
0
13
8
8
8
4
16
0
4
4
8
8
8
8
16
16
16
16
16
16
1
1
16
16
0
0
0
0
0
8
4
4
4
8
32
32
32
8
8
8
8
8
0
32
24
24
24
28
16
16
8
16
8
8
8
24
8
8
8
32
32
20
20
8
8
16
0
0
16
8
8
8
0
8
1
16
4
20
4
4
32
32
0
0
2
1
16
16
8
16
16
24
24
24
16
16
28
28
1
0
0
0
16
16
16
48
0
0
4
4
4
4
0
0
0
0
0
8
1
1
40
8
8
8
16
16
16
16
4
4
13
13
0
0
3
32
8
8
1
16
16
16
16
0
7
1
8
8
8
16
2
16
16
16
8
1
0
0
2
2
2
0
32
60
0
22
2
2
32
32
32
32
0
0
4
12
4
32
0
8
8
8
0
8
8
16
0
0
0
8
8
8
16
35
51
8
42
42
42
1
1
0
8
8
8
4
4
0
0
0
16
16
8
8
8
8
8
8
4
16
0
0
4
8
8
8
1
32
16
16
24
24
8
8
16
2
0
16
16
2
2
2
2
0
16
8
16
4
4
1
16
16
16
2
4
0
0
0
0
0
16
16
5
0
0
16
16
16
16
18
2
2
0
16
16
0
0
8
8
8
0
8
0
33
8
0
16
16
0
32
32
32
0
0
1
1
8
8
8
0
0
16
4
4
4
4
8
17
17
0
0
8
8
8
1
1
16
8
8
8
8
1
0
2
8
8
1
8
32
32
0
0
8
8
40
16
16
24
8
0
0
0
16
16
16
16
0
0
0
8
8
8
8
8
8
8
8
8
4
4
4
4
4
4
4
4
4
2
18
2
8
16
16
16
0
8
16
16
0
16
16
0
8
8
0
0
8
8
8
8
8
8
8
8
0
18
2
16
8
8
2
0
0
16
8
8
4
4
32
8
4
4
3
3
0
0
2
2
2
2
49
0
16
4
32
17
0
0
2
8
4
16
16
0
3
3
16
16
16
0
0
16
16
12
12
12
12
0
0
0
8
16
16
16
24
8
8
8
4
4
0
0
0
0
2
4
2
2
2
2
8
8
8
8
1
1
1
1
1
0
0
0
6
4
4
8
8
0
2
32
32
32
32
13
13
13
13
13
13
8
8
8
42
1
1
1
1
1
1
8
8
0
0
24
8
16
2
2
4
2
2
2
0
0
0
0
0
0
0
16
16
16
0
4
0
0
0
0
0
40
40
40
40
0
0
8
2
2
2
0
0
17
0
8
8
8
8
8
0
8
16
16
16
4
4
1
16
16
16
16
16
16
16
16
8
0
1
17
1
0
0
0
16
16
8
8
8
0
0
0
8
0
8
8
8
8
16
20
0
8
0
0
0
16
16
1
0
4
4
41
8
12
8
0
0
0
8
8
0
4
8
8
8
16
16
4
8
1
0
0
8
24
24
24
0
16
16
8
8
18
18
0
0
16
16
16
2
8
16
16
16
8
8
1
16
16
1
8
12
8
1
0
16
8
8
8
4
20
20
20
20
0
16
16
16
16
16
16
16
0
0
0
0
0
16
16
16
8
8
2
0
0
2
17
17
12
16
16
0
2
5
16
0
0
0
0
0
8
8
4
4
8
8
0
0
8
4
4
0
16
16
2
8
25
17
16
16
16
16
16
1
1
1
1
17
16
16
0
28
28
28
0
1
1
1
8
16
12
24
0
0
0
4
12
4
4
4
4
4
4
4
16
16
16
16
0
0
0
0
0
8
2
2
2
2
2
16
48
0
0
0
16
2
14
0
0
4
4
8
0
16
20
1
1
8
8
8
8
2
2
1
16
16
16
0
16
16
48
48
0
16
8
16
0
0
0
4
4
4
4
8
8
8
8
8
8
0
1
17
0
48
2
2
8
8
0
8
8
16
16
0
0
0
8
8
8
0
16
8
8
13
12
0
0
0
0
8
8
0
0
0
0
0
0
0
0
8
24
24
24
0
0
8
8
1
0
0
11
25
1
8
8
24
8
0
0
0
0
1
1
0
0
0
0
12
4
4
9
0
1
2
1
1
1
0
8
0
16
16
0
8
8
8
0
0
8
8
0
0
0
16
24
1
1
8
8
8
8
2
2
2
16
16
16
32
32
16
8
12
0
8
2
2
2
2
2
16
0
0
8
0
0
4
4
4
4
0
24
40
8
8
8
0
0
8
0
8
8
0
4
0
0
0
10
8
0
16
16
26
26
0
0
8
8
0
0
4
2
8
8
8
8
2
8
41
32
4
6
4
32
32
17
1
16
2
2
8
8
2
8
8
8
4
4
4
4
2
0
8
8
0
0
8
8
2
2
2
2
8
8
0
0
0
0
8
8
4
0
0
0
8
8
0
0
0
0
0
16
0
2
1
1
1
0
0
0
0
16
8
2
16
16
26
1
16
16
8
36
4
4
16
8
0
8
8
1
8
0
0
0
0
16
16
16
16
16
4
4
0
4
4
1
2
24
16
8
8
8
13
13
8
8
8
32
32
0
0
10
8
8
8
16
8
16
0
0
0
0
16
16
8
0
0
8
8
0
0
0
16
13
13
4
4
4
4
4
8
8
0
0
8
8
16
0
0
0
0
0
4
4
4
0
8
8
8
33
33
0
0
0
0
17
8
1
8
8
8
8
8
8
4
4
4
8
0
0
0
0
24
24
24
24
24
24
24
8
8
8
10
1
1
8
2
2
0
0
0
0
0
24
8
16
0
0
1
1
1
1
1
1
16
16
16
8
18
18
0
0
0
16
24
24
8
28
28
28
0
16
16
16
16
0
8
8
8
8
16
24
0
0
0
0
4
2
24
13
16
16
16
1
0
0
0
0
0
16
16
16
0
2
2
2
13
16
16
16
16
8
32
0
0
0
16
16
16
16
16
8
8
0
8
8
8
8
8
0
0
0
0
1
1
1
0
0
24
8
8
8
8
8
8
8
16
16
16
8
8
6
0
2
17
16
16
16
16
16
0
0
0
8
8
10
0
8
16
0
16
0
0
0
0
0
0
8
16
16
16
0
0
8
0
48
48
48
4
6
2
8
8
8
8
8
8
8
4
4
4
5
4
4
4
1
2
2
2
2
8
1
16
24
16
16
8
4
4
4
0
8
8
8
8
8
8
8
8
8
8
8
8
4
0
1
4
1
1
1
16
16
8
8
8
8
8
8
8
1
1
0
8
16
16
16
16
16
16
16
16
0
0
8
1
1
1
1
8
8
0
0
8
8
8
32
32
32
32
1
7
0
0
0
34
34
32
32
4
4
0
8
1
0
16
0
0
0
0
0
0
0
32
2
2
2
16
8
8
8
8
0
8
2
2
0
0
0
0
8
8
4
0
0
32
32
32
10
4
25
0
0
0
0
8
8
4
0
0
0
0
0
0
0
0
0
0
0
0
0
32
32
0
0
0
8
16
1
1
8
4
4
1
1
8
0
4
4
0
8
4
4
16
16
12
8
8
8
8
8
8
16
16
2
2
0
0
0
0
16
16
16
30
30
30
30
2
0
0
0
0
16
16
20
8
4
4
4
24
24
32
32
32
16
18
16
1
8
16
1
1
0
8
0
10
10
0
0
0
32
32
32
16
16
16
16
16
2
2
2
0
16
16
16
16
16
16
8
8
8
16
0
0
34
8
8
8
8
8
8
0
4
0
0
2
2
2
2
0
16
9
1
0
0
0
0
0
1
1
0
10
10
47
16
63
8
1
16
0
0
0
28
8
8
0
0
0
0
16
8
8
8
8
8
32
1
1
0
32
32
2
2
32
32
1
1
1
1
1
1
16
16
16
8
8
9
4
4
4
1
1
9
9
9
16
0
16
16
16
8
8
16
16
8
8
8
16
4
4
12
0
0
24
0
0
55
0
1
1
32
32
32
32
32
33
16
16
12
16
0
0
24
0
0
16
0
1
1
1
1
20
20
16
16
1
1
1
1
1
16
0
0
0
16
8
4
4
4
4
8
8
8
8
2
16
16
16
8
1
16
16
16
16
8
8
0
9
16
0
0
0
8
24
8
0
8
8
8
8
8
8
9
9
9
16
0
1
0
0
0
0
8
8
8
0
0
0
1
0
17
12
2
2
8
1
8
4
16
16
8
8
8
16
16
16
16
16
16
16
16
16
16
2
0
0
8
0
0
0
20
1
1
9
0
16
0
0
0
0
0
0
8
8
8
10
10
8
8
8
8
2
2
2
1
17
1
1
4
4
4
8
8
0
0
4
8
8
24
8
8
8
16
10
1
16
0
16
0
2
2
2
2
8
8
8
0
0
0
12
12
12
8
8
8
8
8
8
0
0
0
0
0
0
8
8
2
2
2
2
8
8
8
8
0
0
0
4
8
8
4
4
0
1
8
0
1
0
16
4
38
38
38
32
0
0
1
16
32
32
0
0
8
8
0
16
16
16
8
32
32
34
0
0
0
0
32
32
32
16
8
8
8
8
8
2
4
4
4
8
8
8
0
8
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
1
0
8
8
20
8
0
0
0
0
0
0
8
8
16
8
16
0
0
0
8
16
8
0
0
8
8
2
16
16
16
16
8
32
1
1
0
0
16
16
16
16
1
1
1
40
0
0
0
0
8
8
8
8
8
24
24
8
8
8
16
25
2
18
8
0
0
0
4
0
20
0
0
0
0
0
0
16
0
8
0
8
22
4
8
2
2
8
4
4
25
25
1
16
16
16
0
8
1
16
1
1
0
1
17
17
16
16
16
8
0
2
4
0
8
8
8
16
1
1
8
8
0
0
0
2
2
16
16
16
8
8
0
4
6
6
6
6
14
6
16
24
4
8
24
1
2
0
8
0
4
4
24
8
0
0
0
0
0
16
1
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
8
16
1
0
8
8
16
4
24
1
0
0
8
8
8
0
0
0
4
8
8
0
0
8
8
4
0
20
20
16
8
0
8
8
2
4
4
0
0
0
8
8
12
12
8
0
0
2
24
16
16
16
27
2
2
32
8
16
24
8
0
0
0
0
8
8
8
27
27
8
24
24
16
0
12
12
12
12
12
0
2
2
0
0
24
4
40
16
16
20
8
8
8
8
5
5
1
8
0
12
12
12
13
12
12
12
12
16
16
16
8
8
0
16
8
16
24
16
16
8
8
8
17
8
3
3
1
1
1
16
4
4
4
16
0
1
1
1
1
1
0
0
1
16
16
0
0
0
32
32
1
1
0
8
8
20
20
20
20
4
4
4
0
16
0
0
0
54
8
8
8
32
0
10
16
8
0
16
8
8
4
16
16
1
1
12
2
0
8
0
16
8
8
0
33
12
8
8
2
0
8
8
8
8
9
9
0
8
16
16
16
24
16
0
16
8
8
8
8
8
0
0
0
0
0
0
0
0
0
24
0
0
16
4
4
4
4
8
2
2
2
2
2
0
0
8
8
0
16
16
0
0
4
0
0
0
16
16
16
16
16
16
16
12
12
1
1
1
0
0
0
0
0
30
30
32
0
0
3
1
8
4
4
0
16
16
16
6
6
6
8
8
16
0
20
4
16
18
1
4
8
1
1
1
1
8
8
16
16
16
16
16
12
12
12
12
0
0
0
0
0
8
8
8
8
0
0
0
0
4
0
8
16
0
8
20
16
0
0
12
0
0
0
0
16
16
16
0
16
16
16
16
16
0
2
16
16
1
1
1
8
8
0
0
16
16
8
0
0
20
20
20
20
32
32
0
1
2
16
16
16
16
2
2
24
16
24
8
8
32
8
16
16
16
16
0
40
40
40
8
8
8
8
0
16
16
16
18
0
0
0
0
16
0
25
17
1
2
0
0
0
8
8
8
8
8
8
8
8
32
32
32
32
8
8
0
0
16
8
0
14
24
0
0
4
0
0
0
16
0
32
32
32
32
0
0
0
0
0
2
2
0
0
0
8
8
8
8
0
2
1
20
0
0
0
16
16
8
8
8
0
0
0
0
1
8
8
18
24
0
16
16
16
6
0
0
0
0
1
1
0
0
0
16
4
8
0
4
4
4
8
0
0
0
0
8
8
0
1
1
20
20
0
4
8
16
6
6
9
1
1
0
8
8
16
1
8
0
0
8
16
8
8
8
8
12
12
12
12
12
0
16
4
4
0
60
60
60
1
32
16
16
0
0
0
0
0
0
0
0
0
4
8
0
16
24
8
0
8
8
0
36
36
8
8
8
8
8
8
0
0
11
11
3
3
3
0
0
8
16
16
16
16
0
0
0
8
8
8
32
32
32
4
0
16
16
16
0
16
2
16
8
1
16
16
16
8
1
1
1
1
36
0
0
0
8
8
8
2
0
6
12
4
4
8
8
8
28
0
0
0
0
0
2
2
16
16
4
4
0
0
0
34
34
34
34
34
34
34
34
34
34
34
34
34
0
12
12
12
12
12
0
8
0
0
0
24
24
2
2
2
2
2
56
56
0
0
0
0
0
0
8
8
8
8
1
4
4
4
4
8
8
8
1
0
12
12
12
12
8
0
8
2
2
2
16
16
16
24
24
8
8
16
16
16
8
18
18
18
8
0
0
1
1
1
1
1
1
0
8
8
0
2
2
2
2
8
1
1
18
18
18
16
16
16
16
4
1
1
16
16
16
8
16
9
9
8
8
8
8
8
8
16
16
16
24
16
8
8
0
0
0
0
0
1
32
32
32
16
8
0
0
0
0
0
4
24
24
24
16
8
8
8
8
0
16
9
0
8
8
0
0
16
16
16
16
16
16
4
0
0
32
32
0
0
0
8
8
8
16
16
16
16
16
16
0
0
0
8
16
16
16
8
16
4
0
0
0
0
0
0
1
0
0
0
24
24
24
24
24
24
24
56
0
8
1
1
1
9
0
0
8
8
4
0
0
0
0
8
9
1
32
16
0
8
0
0
6
6
0
16
16
16
16
0
0
16
16
16
8
8
8
8
9
9
9
9
0
8
1
1
25
8
12
8
8
8
8
8
8
0
11
16
8
0
0
0
8
8
16
2
2
16
18
0
8
8
0
0
0
0
0
1
26
2
0
0
0
8
0
8
0
0
0
0
8
8
8
8
1
2
4
4
18
2
2
16
16
0
16
2
0
8
8
8
8
0
16
24
16
16
0
8
0
16
16
8
8
8
1
12
2
2
2
2
8
0
16
32
16
16
16
16
16
16
8
16
16
16
16
16
8
8
16
16
0
16
16
16
4
4
4
4
0
0
16
16
8
8
8
1
1
1
8
8
8
0
0
0
8
8
4
4
0
0
0
1
8
20
17
24
24
0
8
8
8
8
8
25
1
1
8
16
0
0
8
8
16
0
0
8
0
0
0
0
0
0
16
16
8
8
8
0
8
16
16
8
8
8
8
8
8
8
8
0
0
8
25
25
25
8
8
24
8
8
1
1
1
1
1
1
16
16
16
16
20
8
4
0
0
0
0
0
0
4
16
2
16
16
16
16
16
16
16
16
16
16
16
16
16
8
8
8
0
4
4
16
16
0
2
16
16
16
4
8
8
8
8
8
8
0
0
0
0
2
18
2
20
20
4
16
16
16
4
0
8
56
4
4
16
16
16
16
16
4
16
16
0
0
16
16
16
16
9
8
8
4
8
8
8
8
8
0
0
0
32
32
48
8
0
8
0
8
16
16
16
0
0
0
9
4
16
0
0
0
0
0
0
0
0
0
8
8
8
0
0
17
17
16
16
16
16
18
16
16
8
9
9
0
0
0
4
4
4
4
4
0
0
16
0
8
8
8
16
8
8
8
8
8
8
8
8
8
8
8
8
16
16
16
16
16
24
24
24
24
1
16
32
32
32
32
8
8
8
16
9
9
1
1
1
8
8
2
0
0
18
16
0
16
0
0
16
16
16
16
0
4
8
8
8
8
32
32
32
32
16
16
16
4
4
32
8
0
17
8
8
16
16
0
24
0
8
8
2
8
28
8
8
8
16
16
16
16
0
0
0
16
1
24
9
0
0
0
0
4
4
0
0
0
1
16
0
0
2
2
2
2
2
2
2
8
8
16
16
24
24
24
24
24
16
1
0
0
0
0
0
8
8
8
8
4
0
0
0
0
16
8
8
2
0
0
0
0
0
4
32
16
16
16
16
0
22
22
0
0
0
8
4
8
8
8
16
0
0
0
8
8
8
4
36
40
16
8
8
8
0
16
17
8
8
8
0
8
24
24
8
16
8
1
19
8
8
8
8
0
8
8
8
8
8
1
0
5
4
8
16
16
16
16
0
0
2
2
2
8
8
24
24
4
1
16
8
8
0
0
0
0
8
0
0
0
0
0
0
1
1
8
8
8
16
16
6
6
16
16
16
16
16
8
0
0
0
0
0
0
16
16
16
16
16
8
16
4
20
20
20
20
16
16
16
0
8
8
4
1
1
16
16
16
8
8
8
8
0
8
8
8
4
16
24
24
16
16
16
24
8
8
4
8
8
8
8
8
8
8
8
8
17
17
17
4
0
8
0
1
1
1
8
8
8
8
16
16
0
0
0
0
0
16
16
8
8
8
8
8
8
8
8
0
2
0
0
4
8
0
8
16
16
16
16
0
0
0
0
8
4
0
0
28
33
33
2
8
0
16
16
16
8
8
0
0
0
2
0
0
2
2
8
8
0
0
16
16
16
0
16
16
4
4
4
48
48
48
0
8
32
32
1
1
12
8
8
8
8
8
8
8
1
1
1
1
8
20
20
0
4
4
4
0
0
0
0
8
8
3
17
2
24
16
52
2
2
4
8
8
22
20
4
13
8
16
16
0
0
33
0
0
0
16
0
8
25
24
24
24
24
16
8
8
8
8
1
17
16
16
16
12
12
12
12
16
16
16
16
16
16
8
8
0
8
8
8
1
1
1
1
1
1
8
8
16
0
33
32
32
32
0
8
0
28
8
8
8
16
0
0
8
8
8
12
16
16
16
16
16
16
0
0
0
0
25
1
48
48
32
1
1
16
48
8
8
8
8
4
0
0
1
1
0
0
8
8
8
4
4
4
16
10
0
20
20
8
0
0
4
8
0
0
1
8
8
0
17
17
24
24
16
16
16
0
0
0
0
8
8
0
0
0
0
0
8
16
16
16
16
16
8
0
0
8
1
8
16
16
0
0
0
0
16
8
8
16
8
8
8
8
0
0
16
16
16
16
16
16
0
8
8
8
8
8
8
16
0
0
0
0
22
12
26
26
0
1
8
8
4
4
4
4
16
16
8
48
8
0
0
16
8
0
16
0
28
28
8
4
16
16
2
2
0
0
0
1
1
0
16
16
16
16
1
0
0
8
16
16
0
12
41
0
21
3
11
0
0
0
8
8
0
0
0
0
1
0
8
8
0
16
0
36
36
36
36
0
0
8
16
32
32
0
4
0
8
8
8
56
8
8
8
8
8
16
16
1
1
1
0
9
0
0
16
1
1
0
8
8
8
4
0
1
1
1
8
8
8
8
1
2
2
0
0
16
0
0
0
0
16
16
16
16
0
1
1
1
8
32
32
32
8
8
0
8
4
4
8
0
8
8
8
0
4
4
16
16
16
16
21
21
0
4
41
0
8
8
8
16
16
16
9
1
1
4
0
24
0
0
16
0
2
2
3
2
4
1
4
4
4
4
4
4
4
2
0
20
20
20
20
1
1
4
4
4
8
8
8
8
8
8
52
1
1
1
1
1
3
0
2
2
2
2
45
16
2
0
8
8
8
1
1
1
1
1
0
0
2
2
2
2
2
8
12
2
2
2
2
16
2
8
8
8
0
8
24
16
8
0
0
16
27
8
0
16
16
4
0
16
16
4
4
8
8
0
0
0
8
8
0
4
0
18
8
0
16
0
16
8
8
0
0
0
8
8
8
0
0
0
0
0
0
16
8
2
2
16
16
8
8
0
2
0
0
16
16
16
16
16
8
8
4
4
2
4
12
0
0
0
0
0
1
8
0
0
2
2
0
0
24
0
0
0
0
27
27
27
0
0
0
0
8
24
0
0
0
0
0
8
8
0
0
0
0
8
8
32
8
1
0
8
0
0
0
0
0
0
0
8
8
1
1
25
8
56
8
8
16
16
16
8
16
0
4
4
4
2
2
2
2
8
8
8
8
8
32
32
8
8
16
16
12
0
0
0
24
8
8
8
0
16
8
8
0
1
2
2
1
1
4
2
8
4
2
2
8
8
8
0
16
16
8
16
2
2
0
4
4
0
0
16
8
8
0
0
0
0
8
8
8
8
8
0
8
0
16
16
16
4
0
0
8
16
0
0
0
0
0
0
0
8
8
8
0
0
0
32
32
0
16
16
16
8
8
0
2
0
0
8
8
8
8
0
0
4
0
16
16
3
3
0
4
8
8
0
0
0
8
0
2
12
4
8
16
16
16
16
16
13
13
0
8
16
16
8
8
8
8
8
0
8
8
0
8
0
0
0
32
8
32
32
6
6
6
8
0
0
0
0
2
2
1
1
1
1
0
16
16
16
20
16
16
8
8
8
8
8
8
8
2
8
16
2
2
2
12
0
8
24
24
8
8
8
0
0
0
52
8
8
24
39
39
39
39
0
16
0
1
1
0
0
0
16
16
8
16
0
4
0
8
2
2
4
16
16
16
0
0
2
56
16
0
0
8
8
4
4
16
0
40
16
16
16
0
8
8
8
8
16
16
16
16
16
0
8
0
0
16
16
16
24
16
32
8
8
8
8
4
52
52
8
8
8
2
4
16
0
0
0
0
0
0
0
8
2
0
8
4
4
8
8
32
8
8
32
32
8
4
8
0
0
8
8
0
0
8
0
0
0
8
16
16
8
9
40
40
1
1
1
20
0
0
0
5
1
8
0
0
0
8
0
16
8
8
16
19
0
26
24
24
4
8
8
8
8
8
8
8
36
4
4
18
16
32
2
0
16
20
0
16
16
16
16
0
16
0
16
16
16
16
16
16
1
8
16
16
16
16
8
1
1
2
2
0
0
0
20
8
8
16
0
0
17
1
0
8
12
12
24
8
8
8
8
16
24
16
8
8
8
8
8
8
25
2
17
16
0
0
0
40
32
32
0
0
0
8
8
8
17
2
2
16
8
9
1
0
16
8
25
8
8
8
8
8
8
8
8
32
16
16
16
8
0
16
16
16
16
16
16
16
0
8
0
0
0
8
8
8
8
8
16
1
1
4
4
0
0
2
4
20
17
4
4
8
8
8
8
8
8
8
8
0
0
8
16
16
32
2
2
8
8
0
0
0
0
0
4
4
4
4
9
9
8
8
0
1
2
2
0
8
8
8
12
12
0
16
16
0
16
1
8
1
1
1
1
1
8
32
32
16
16
16
16
16
0
0
0
16
16
4
16
8
16
16
0
0
1
1
16
1
4
4
0
8
0
0
16
16
4
0
36
8
16
0
0
0
0
0
16
16
32
24
24
24
8
8
16
16
32
12
8
24
24
0
0
16
0
0
0
0
16
4
16
8
0
0
8
17
17
8
8
16
18
16
0
0
0
40
40
32
32
2
8
6
8
6
50
16
16
0
0
0
8
4
4
1
1
24
16
16
0
41
0
8
0
0
8
16
16
0
0
0
1
0
0
2
6
2
0
0
0
0
0
16
16
16
16
0
0
8
0
8
8
8
8
8
8
8
0
8
0
8
8
8
8
0
4
1
16
16
20
16
0
4
1
1
8
8
0
0
8
8
8
0
1
1
8
4
4
4
4
8
0
0
0
0
2
8
8
4
4
16
16
0
26
8
8
8
0
20
20
8
0
8
0
0
8
8
0
16
0
0
28
28
28
28
28
28
28
28
28
28
28
28
28
28
28
0
0
0
16
8
8
2
3
2
8
24
32
32
32
34
34
4
8
16
8
0
0
0
0
0
0
24
16
16
17
17
0
8
8
8
8
0
0
0
0
0
0
1
24
8
9
8
2
2
4
4
0
16
0
8
16
16
8
8
8
8
8
0
28
28
28
8
0
0
4
4
16
16
16
8
0
2
2
2
8
8
16
24
24
16
0
0
17
16
16
2
8
16
16
0
4
4
4
4
4
4
4
4
4
1
0
0
1
8
16
16
16
16
0
2
8
0
0
0
0
32
0
0
0
0
8
8
0
0
0
16
0
16
16
1
9
8
48
32
8
2
2
2
16
8
8
16
24
16
16
16
4
4
4
4
0
0
4
4
4
4
4
4
0
0
8
0
24
0
0
0
8
2
24
0
0
8
8
0
8
8
8
0
0
0
8
1
1
8
8
8
8
8
20
20
1
1
1
0
1
1
1
16
17
17
0
0
8
0
0
8
0
4
34
34
34
1
1
16
8
8
8
8
1
1
0
0
0
0
1
1
8
9
8
8
8
24
24
4
20
4
8
1
32
16
16
16
16
0
0
0
0
0
8
4
4
4
1
16
16
0
0
0
8
16
1
1
0
0
8
1
1
1
1
1
16
0
8
16
0
0
8
0
16
0
0
8
8
8
4
4
0
0
0
0
18
16
4
4
4
16
16
16
16
16
16
16
16
0
16
8
8
4
0
0
0
0
0
8
4
8
0
0
0
1
1
1
0
2
8
8
8
0
0
8
0
0
0
16
27
1
0
0
0
0
0
8
8
8
8
18
0
0
16
16
6
0
0
0
0
0
0
0
0
52
4
8
8
8
8
0
16
16
16
0
0
0
16
16
5
1
1
2
2
8
8
9
11
16
8
2
2
2
0
0
16
16
16
0
16
4
16
16
4
4
0
0
16
16
24
24
32
32
8
0
0
16
16
16
8
8
0
0
0
0
0
8
0
0
0
0
8
1
1
1
1
0
16
4
8
8
0
0
16
16
16
0
0
0
17
17
0
3
2
2
4
16
8
8
8
0
0
0
0
8
8
0
0
4
8
49
4
4
4
4
8
8
0
18
0
0
16
0
16
16
16
8
8
8
0
24
8
8
8
8
0
0
0
1
1
24
0
0
0
0
0
0
0
0
18
16
25
16
16
16
1
1
0
0
0
8
8
8
17
9
8
0
0
8
2
16
16
16
16
0
8
4
8
0
24
24
8
0
8
1
1
1
4
4
0
32
32
32
32
0
8
1
1
1
1
1
1
1
16
8
8
8
4
4
0
0
0
0
0
16
12
24
24
20
20
20
4
0
0
0
16
16
8
8
8
24
24
8
1
8
9
24
14
0
0
8
0
4
4
4
0
4
16
16
16
16
16
4
0
0
0
8
8
8
8
8
8
8
8
8
8
8
4
4
0
8
32
8
0
0
0
0
24
8
16
4
4
4
0
0
0
0
0
1
1
1
0
0
8
18
16
0
0
0
0
0
4
4
0
8
8
2
2
2
2
2
8
8
8
8
8
16
16
0
8
8
8
16
16
16
16
25
0
0
0
0
8
8
8
1
8
0
8
8
8
8
8
0
18
18
4
16
16
16
16
4
0
8
8
8
0
0
16
16
0
16
0
0
2
2
8
8
8
2
8
0
0
0
5
5
5
16
16
16
16
16
24
0
0
16
8
8
0
0
16
16
16
16
24
32
32
24
0
8
8
1
4
4
0
0
16
16
8
0
0
8
8
16
16
0
2
16
16
0
16
16
2
0
0
0
4
4
2
6
4
0
0
0
2
2
2
2
2
8
10
10
2
0
0
0
0
0
0
24
8
8
8
24
8
20
4
4
4
4
4
4
8
8
8
8
2
2
8
0
0
0
16
0
0
0
16
16
16
8
16
16
16
16
5
5
5
28
28
28
28
28
18
0
0
0
0
8
8
0
0
0
16
16
0
0
0
0
0
0
4
4
0
0
0
8
0
0
0
0
4
14
8
8
0
13
1
1
1
1
1
20
32
32
32
32
32
32
32
32
32
32
48
48
2
32
2
2
1
2
8
8
8
8
8
8
2
2
2
8
0
0
0
0
0
9
1
4
4
4
8
0
0
1
16
0
0
8
1
1
1
8
8
0
0
0
1
0
0
0
16
8
0
0
8
8
0
0
8
16
1
16
17
17
8
8
8
8
8
32
32
8
16
16
0
7
20
0
0
0
0
0
0
8
8
32
32
0
0
0
16
0
16
16
16
8
18
18
16
0
0
0
8
8
8
8
24
8
16
16
8
8
8
0
0
8
8
4
0
0
0
8
8
0
2
8
8
8
0
0
0
0
0
0
0
0
0
16
18
18
24
0
0
0
0
16
8
8
0
8
6
6
6
6
4
4
8
8
8
8
1
1
1
4
8
8
8
0
8
8
8
0
0
0
4
4
18
8
20
0
8
0
0
8
4
4
0
32
32
8
8
8
0
0
0
0
8
8
8
0
8
4
0
8
17
16
16
8
8
8
8
0
0
8
8
8
0
0
8
16
0
0
0
0
0
0
0
0
0
0
0
9
0
0
0
0
8
0
0
0
4
4
4
8
0
1
0
8
4
4
4
0
0
0
8
8
0
20
4
4
1
1
1
0
0
0
16
16
4
4
8
8
8
8
8
8
8
4
16
2
8
8
0
16
16
16
8
8
8
8
8
4
4
1
1
4
8
8
8
16
20
16
16
16
16
16
16
0
0
1
1
1
1
0
0
0
0
0
0
0
0
16
32
32
1
1
1
1
1
0
8
8
8
8
8
8
8
10
8
8
28
16
0
16
16
0
28
8
0
0
33
33
33
16
0
0
12
12
8
25
25
0
0
0
0
4
0
16
16
8
8
8
33
0
0
0
0
1
0
0
8
16
16
16
16
4
16
0
0
0
16
8
16
8
0
0
16
1
1
0
8
8
8
19
0
16
16
16
24
16
16
16
16
16
16
16
16
8
8
0
0
0
0
0
16
16
16
16
16
0
0
4
4
0
16
16
4
4
4
4
4
4
4
8
18
0
8
1
1
1
1
16
12
2
2
16
12
12
8
4
4
16
8
8
0
1
8
8
8
0
0
0
0
1
8
4
4
4
8
6
8
8
16
16
40
0
4
4
0
0
17
16
2
8
8
8
16
16
5
5
16
0
4
4
8
8
4
4
1
1
16
16
16
16
16
16
0
0
0
0
0
0
1
0
0
16
0
8
8
8
8
8
0
16
16
16
16
16
16
8
8
8
16
16
8
8
32
32
16
16
16
8
0
4
4
3
8
0
0
0
16
24
8
0
0
0
8
8
16
16
16
8
8
8
1
4
16
16
0
0
4
0
0
8
8
8
8
1
0
20
20
20
8
16
16
16
2
16
0
0
4
8
8
8
8
8
8
8
8
8
8
8
8
16
24
2
2
0
0
1
24
0
16
17
1
0
0
10
10
10
32
4
16
16
0
20
16
0
2
0
4
8
0
16
16
1
1
48
0
8
8
16
8
0
0
32
32
16
16
16
16
16
16
16
16
16
16
16
24
24
16
17
16
20
8
8
0
26
26
10
0
0
0
0
0
8
8
0
8
0
0
0
8
9
8
0
0
0
8
8
1
1
1
16
8
0
24
0
16
0
3
4
0
28
28
28
28
8
0
8
4
32
0
0
0
16
0
2
16
18
18
1
1
1
1
0
0
10
8
0
0
8
16
1
0
32
16
25
32
16
4
4
0
0
0
8
24
24
16
8
0
17
24
16
16
16
4
4
4
0
0
0
0
0
1
1
1
0
0
4
0
0
0
1
1
1
1
4
8
6
6
0
16
0
10
10
16
16
0
0
0
0
0
16
16
0
4
4
4
16
24
8
8
0
8
8
0
16
16
16
16
16
0
16
16
16
32
32
32
8
8
0
0
0
0
0
0
2
0
0
0
32
4
4
13
0
5
4
4
20
20
20
20
8
8
8
8
41
41
41
41
16
8
0
0
16
16
16
8
0
0
8
8
0
4
4
0
2
16
16
8
8
8
8
0
0
0
16
16
16
8
2
0
8
8
0
4
1
1
1
8
8
8
1
1
4
0
0
0
0
0
0
8
16
0
0
16
34
16
8
8
8
16
4
4
4
8
8
4
4
8
8
8
8
0
0
0
41
3
3
8
0
0
0
4
4
32
4
4
0
0
0
0
8
8
8
18
4
4
4
4
4
16
16
16
16
16
16
12
12
4
3
3
3
3
3
3
0
4
4
4
4
0
0
0
16
0
0
0
0
0
0
0
0
18
16
1
1
0
8
8
8
0
0
1
1
8
8
8
8
8
16
4
0
0
8
8
8
8
8
0
0
0
0
0
0
0
16
16
16
0
8
8
0
0
16
16
16
2
2
8
8
8
8
8
16
3
3
0
0
1
2
0
0
0
0
8
8
0
0
8
8
8
0
8
8
8
8
0
0
0
4
20
20
0
0
0
0
8
16
0
0
8
8
8
8
8
8
16
16
0
8
1
1
1
0
0
2
24
0
0
2
2
0
0
16
16
0
0
0
16
16
0
2
4
19
8
8
8
24
24
48
0
0
0
0
13
8
8
8
0
0
0
8
2
2
2
1
1
1
1
9
0
4
4
4
32
0
0
16
16
1
1
1
16
16
16
16
16
16
0
8
16
1
16
16
16
16
8
0
22
2
2
0
8
16
16
16
0
2
2
2
16
8
16
16
16
16
12
8
4
16
16
8
4
0
0
0
0
0
0
0
0
0
0
0
8
1
16
0
44
44
44
44
0
1
1
5
4
0
16
16
16
16
2
2
2
16
16
16
16
16
16
16
16
0
0
17
17
17
17
17
8
8
4
4
8
0
0
0
8
9
8
32
16
16
1
16
0
0
0
0
8
8
0
1
16
16
0
16
16
16
12
12
0
0
4
4
24
24
24
0
8
0
0
8
16
16
16
0
8
0
0
2
2
2
20
20
4
8
8
0
8
6
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
8
8
1
2
8
0
16
16
1
0
0
16
24
1
1
1
1
17
1
1
1
0
16
4
4
4
4
0
4
16
4
16
1
1
1
0
0
0
13
13
13
1
1
16
16
0
1
0
0
8
8
2
0
0
0
2
2
2
0
0
0
0
0
16
16
8
8
8
0
0
4
4
4
8
8
16
0
8
8
8
0
0
9
9
9
8
8
4
4
4
4
4
8
0
8
8
0
0
16
0
32
0
0
0
0
16
16
0
0
8
8
40
0
0
0
8
8
8
8
8
8
24
24
8
16
16
34
0
8
0
0
0
0
8
4
8
16
32
16
16
16
1
1
1
0
0
16
16
0
8
8
8
8
8
8
0
0
8
8
4
4
4
4
4
32
32
32
0
10
24
24
24
24
16
16
16
1
1
1
32
0
8
0
0
4
0
8
18
16
16
16
0
0
8
8
8
8
4
4
4
4
0
0
0
8
0
16
0
16
0
32
0
0
0
0
0
0
0
2
2
0
1
8
16
16
0
28
4
4
4
8
16
0
0
3
3
1
1
1
0
8
16
8
8
8
8
40
8
8
8
8
8
8
8
16
16
16
1
1
8
4
4
4
16
4
4
4
0
0
8
0
8
8
6
0
0
1
1
1
1
1
0
0
8
16
2
0
16
8
4
0
0
0
2
16
0
0
8
8
8
16
8
8
8
8
8
8
8
1
1
0
0
4
4
32
32
0
0
8
4
4
8
8
8
0
8
8
8
16
8
0
8
8
0
0
0
0
0
0
0
0
1
12
16
0
0
8
24
0
8
24
24
0
24
0
0
0
1
1
0
0
8
8
0
4
0
0
0
0
0
0
0
0
0
0
16
0
0
30
4
1
1
32
8
40
8
8
8
8
8
0
0
0
0
0
0
0
2
2
2
2
4
4
8
9
8
8
8
10
10
8
1
1
0
8
8
8
8
4
4
4
4
4
8
16
16
0
0
8
8
8
8
8
8
8
32
32
6
6
6
8
8
8
8
8
8
0
0
0
26
0
12
0
0
16
0
0
0
0
1
1
1
1
16
0
10
0
8
8
18
16
0
8
4
0
8
8
16
4
4
0
0
0
0
0
0
16
16
16
0
0
16
0
8
0
0
0
8
8
8
8
8
8
0
0
0
8
8
8
2
0
8
8
8
0
8
20
1
1
2
24
0
0
0
16
16
16
32
32
32
8
8
8
8
20
20
9
1
1
32
1
1
25
25
25
25
25
8
16
0
0
4
4
4
8
32
8
16
8
8
0
1
1
1
1
4
4
4
4
0
0
32
34
32
8
8
8
16
16
8
8
2
2
0
0
8
8
16
2
2
2
8
0
0
0
0
8
8
16
16
16
16
16
16
16
16
0
32
32
8
0
16
8
8
0
0
8
32
0
0
0
0
0
4
4
4
4
4
4
0
0
0
0
16
1
1
1
1
0
16
8
16
1
0
0
16
0
16
16
16
16
16
16
1
0
0
8
8
16
16
0
8
8
8
16
2
2
0
16
16
2
20
8
16
8
1
1
1
0
0
4
20
4
4
16
16
16
24
16
0
32
0
8
0
0
10
10
10
10
10
10
4
12
4
4
4
4
4
4
0
8
8
8
8
8
8
0
10
10
16
24
0
0
0
16
56
17
8
8
0
0
0
24
8
8
6
0
2
0
2
2
28
0
8
8
16
16
16
16
1
0
8
8
8
0
20
8
16
16
16
16
0
0
0
0
0
16
1
1
8
8
8
8
8
8
32
32
16
16
16
16
16
16
16
8
8
22
22
8
20
16
16
1
16
0
8
8
8
16
0
8
1
1
0
0
16
8
8
8
8
16
16
16
32
0
32
16
4
0
2
0
8
16
8
0
8
2
2
2
2
16
1
24
16
0
8
8
0
0
8
8
4
0
0
8
8
6
6
6
8
8
8
0
8
24
16
16
16
0
0
0
0
8
8
8
8
2
8
8
8
8
24
25
8
8
1
1
1
1
1
0
8
8
8
48
16
16
0
32
8
8
8
2
2
4
8
8
56
56
56
0
0
8
0
16
16
8
0
24
18
18
0
0
0
18
48
48
48
16
0
8
8
8
8
8
16
16
16
16
8
0
0
0
0
8
8
0
0
16
0
16
16
8
8
8
8
0
0
32
0
32
1
1
3
8
8
8
1
4
4
0
4
4
4
4
8
0
0
2
24
24
8
8
8
2
10
8
8
16
16
10
4
21
4
0
0
0
0
16
0
16
49
49
49
49
49
0
0
16
16
12
8
4
0
16
16
4
4
0
0
0
0
12
4
4
4
0
16
16
4
12
8
1
12
4
8
8
16
16
16
16
16
16
0
0
8
8
8
16
16
16
16
0
2
2
2
2
16
16
16
2
2
2
2
16
0
0
24
8
1
0
0
8
8
8
1
1
1
1
1
1
0
0
0
0
0
0
32
32
4
0
9
5
1
0
8
8
4
4
24
0
0
0
0
0
0
0
0
16
16
0
3
1
0
0
0
16
33
0
0
24
24
4
1
1
8
4
0
0
0
8
0
8
8
4
8
0
0
0
0
0
2
10
10
10
8
8
8
24
24
0
0
26
24
24
8
8
0
0
1
9
9
9
4
4
4
4
4
4
4
0
2
2
2
2
2
2
9
9
0
16
10
2
0
1
37
37
2
2
8
0
0
17
4
4
4
4
8
0
16
16
16
16
8
8
8
2
24
16
16
16
16
0
8
9
16
8
0
0
8
16
16
8
8
8
0
4
4
4
0
8
53
8
8
8
8
8
8
1
1
24
16
16
16
16
0
0
4
4
8
16
16
48
32
32
0
16
8
8
0
0
4
4
4
0
0
4
4
4
4
0
0
2
16
0
4
4
8
0
8
8
8
0
0
16
16
0
8
8
8
0
0
50
1
0
8
8
0
0
0
0
8
0
0
0
0
8
32
8
8
8
0
0
0
8
8
19
16
0
8
0
8
8
8
8
0
16
16
16
0
8
2
0
0
4
8
8
0
8
8
8
0
8
8
8
0
8
40
8
0
0
24
0
0
0
16
24
0
32
0
2
0
8
0
0
0
0
0
20
4
16
0
0
0
0
0
4
4
0
0
0
4
4
4
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
49
32
0
8
8
11
8
3
0
4
4
16
16
2
0
0
0
0
16
8
4
0
0
0
0
0
0
9
9
0
16
6
8
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
24
24
16
16
0
40
40
40
0
16
8
8
0
0
8
0
0
0
8
8
8
12
16
16
16
4
0
0
0
2
2
16
8
8
0
0
0
0
4
0
0
4
0
16
16
16
16
2
2
2
4
0
0
8
1
1
0
4
8
2
0
0
0
8
8
8
8
0
1
8
0
8
0
16
0
0
0
0
0
16
0
8
8
8
8
0
0
0
0
12
12
0
0
0
12
12
8
8
0
16
16
0
0
0
0
0
0
0
0
8
8
2
0
0
2
2
0
0
0
0
32
32
12
16
16
0
0
20
0
0
0
0
0
8
8
8
8
8
8
0
8
0
16
16
16
28
28
2
4
16
16
16
28
28
8
0
0
0
2
8
8
8
0
0
8
16
12
0
0
1
0
0
0
0
0
0
60
60
8
0
0
8
8
0
0
0
16
16
8
0
16
0
0
16
0
0
0
1
8
0
0
0
0
0
4
4
2
8
4
4
0
0
0
0
0
0
8
1
1
8
0
16
16
0
0
4
18
18
12
12
8
8
8
8
8
8
1
1
1
10
1
0
6
0
1
27
8
8
16
0
0
0
0
8
8
0
24
0
1
0
0
0
0
24
24
0
0
4
8
8
0
4
8
0
8
0
0
8
0
0
16
16
0
0
8
0
40
8
8
8
0
16
24
8
0
0
12
16
0
2
4
0
0
4
4
4
1
1
8
0
0
8
8
0
8
8
8
0
4
0
0
16
0
0
0
2
2
0
8
8
20
2
0
0
8
0
0
0
16
0
0
0
1
1
24
16
16
2
0
0
0
0
0
0
0
0
24
8
0
0
8
40
40
0
8
1
0
20
16
16
2
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
8
2
8
8
8
8
8
0
0
0
4
4
4
0
0
0
0
0
0
1
8
0
0
0
0
0
0
0
0
8
16
16
16
0
18
0
8
50
0
0
0
0
8
8
8
8
2
2
0
8
8
8
8
0
8
0
0
0
0
0
0
0
0
0
0
0
40
8
8
8
0
0
0
8
8
8
16
0
0
0
0
0
0
8
24
16
1
0
0
0
0
0
16
16
8
8
24
24
0
32
32
16
16
16
0
8
0
2
24
24
6
6
0
0
8
1
32
32
32
0
0
0
0
0
0
24
24
24
0
56
0
0
0
20
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
16
8
0
8
8
0
8
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
21
21
8
8
8
8
8
0
2
2
2
0
0
0
8
8
0
0
0
0
0
0
8
8
0
0
0
0
0
22
0
0
0
0
32
32
4
0
2
0
0
0
0
0
16
16
16
0
4
5
4
14
0
0
0
0
0
0
1
0
8
8
0
0
2
10
26
0
0
0
0
0
16
16
1
17
17
12
4
0
0
16
8
0
8
33
33
0
0
0
8
8
8
1
0
0
0
0
0
0
8
16
16
1
1
0
0
0
1
0
0
8
8
4
16
0
0
8
16
0
0
4
0
2
0
0
0
0
6
6
0
0
2
2
2
2
2
8
6
2
0
0
8
24
0
0
0
0
0
0
0
16
16
0
0
8
8
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
6
2
8
0
0
16
0
0
24
24
0
16
8
16
16
0
0
4
16
8
0
0
0
4
16
4
4
4
0
0
0
0
0
0
0
0
17
17
17
0
0
0
0
0
4
0
0
8
8
0
6
6
0
0
0
2
2
8
8
0
0
0
0
0
0
4
4
4
0
0
0
0
2
10
0
2
2
12
8
8
2
0
8
0
8
16
16
16
0
0
0
0
17
0
0
8
8
16
16
16
4
4
4
8
8
16
0
0
8
16
16
16
16
0
0
1
4
16
0
0
16
0
8
16
16
0
0
0
56
56
56
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
12
0
8
0
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
3
0
0
0
8
8
16
40
40
8
4
8
8
56
16
16
0
8
8
8
24
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
9
1
1
8
8
0
0
4
4
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
8
0
8
8
0
0
16
0
0
0
0
8
8
0
33
2
17
0
0
0
0
0
4
0
0
24
0
0
0
18
18
0
16
27
0
0
0
16
16
16
0
8
1
1
0
32
8
8
8
8
8
16
0
39
2
2
24
4
4
0
16
1
1
0
0
8
8
8
0
16
4
4
4
16
8
0
0
0
0
0
0
8
8
8
8
8
16
16
0
16
4
4
4
4
4
0
0
0
0
24
0
0
0
0
0
0
8
0
0
0
4
4
0
0
0
5
5
8
8
0
0
16
8
16
16
16
1
10
10
9
9
1
16
4
0
4
0
8
8
16
2
8
12
0
1
0
0
0
0
0
24
16
0
0
16
16
0
0
16
16
16
16
0
4
16
16
32
32
32
20
0
0
0
0
0
8
8
8
8
0
16
16
16
3
3
8
16
16
16
0
4
0
0
0
0
0
2
0
0
8
0
0
1
1
4
8
8
16
16
0
0
0
0
0
8
0
0
0
8
4
4
4
4
1
9
0
6
16
24
8
8
0
16
0
8
8
0
16
16
16
16
16
1
1
1
0
8
0
0
8
16
0
8
16
32
20
0
8
2
0
16
16
8
32
8
8
16
8
8
20
18
18
8
1
1
0
8
0
0
20
16
1
0
0
0
0
8
8
58
10
14
10
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
4
4
4
16
0
18
0
0
0
0
4
4
52
8
4
4
4
0
0
0
0
0
0
12
0
8
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
16
16
4
0
0
0
0
16
0
0
0
0
0
0
8
8
0
1
1
0
8
8
0
8
8
0
0
0
4
4
4
4
0
16
16
16
8
8
8
0
0
0
1
1
8
16
8
8
0
0
1
0
0
0
2
2
0
0
0
0
16
0
0
16
16
8
8
8
8
8
0
0
16
42
8
8
0
16
16
0
4
4
0
0
0
0
12
8
6
8
8
8
8
0
0
16
0
0
0
2
0
1
0
1
1
0
8
0
0
0
0
1
8
4
0
0
0
0
8
0
0
0
4
8
8
8
0
16
0
16
0
8
8
0
16
16
0
0
0
0
0
0
1
1
0
0
0
0
0
0
1
0
16
16
8
8
0
16
0
0
0
20
20
20
0
0
16
0
0
0
4
28
28
28
8
8
4
4
16
16
4
16
16
0
8
8
0
0
8
8
8
0
0
0
16
0
0
41
41
32
0
0
8
8
0
0
0
1
1
0
0
0
0
24
0
0
8
8
8
8
0
0
0
4
12
8
0
0
0
16
16
0
0
0
4
8
1
4
0
0
0
4
2
2
8
8
8
2
0
8
8
4
0
0
16
8
24
8
0
0
0
0
0
0
0
0
0
0
0
4
0
0
12
0
0
16
0
0
0
8
0
24
24
8
0
0
16
1
0
0
0
41
0
2
0
0
16
2
16
16
0
0
18
0
0
0
0
0
16
16
8
0
0
0
0
16
8
8
0
8
0
8
8
16
1
8
0
0
0
0
0
0
16
8
2
0
16
16
8
16
0
0
0
8
0
8
0
4
0
24
8
8
9
8
0
0
0
8
12
12
12
12
8
0
0
0
0
0
0
1
4
2
0
0
16
16
0
0
0
8
8
16
16
18
18
0
0
2
0
8
8
8
2
0
0
0
1
0
0
4
4
0
0
1
1
0
13
13
4
16
24
16
4
4
0
8
0
0
8
0
0
0
11
0
0
0
0
0
0
18
0
0
8
0
0
0
0
16
16
0
0
0
0
0
0
24
24
16
8
16
0
8
8
8
8
8
8
8
16
8
0
0
16
16
16
0
0
0
16
16
0
0
0
4
4
0
0
0
1
0
8
14
2
0
0
0
16
4
0
24
1
1
8
8
0
0
8
8
4
0
16
16
0
0
8
0
0
16
8
8
8
8
0
0
0
20
1
8
0
0
0
0
0
0
0
24
4
0
8
8
0
0
24
24
0
0
16
0
0
0
0
0
0
0
0
0
28
28
1
1
1
8
0
0
0
0
0
1
1
2
0
16
8
4
16
19
0
0
0
0
0
8
8
8
8
17
4
0
4
4
0
2
2
0
0
0
1
0
0
24
16
16
0
16
16
16
16
16
0
1
4
0
0
20
0
0
20
28
28
0
0
0
0
2
4
16
16
16
16
16
16
0
0
0
4
4
16
16
24
0
0
0
0
20
16
0
0
0
0
0
0
8
4
4
0
2
2
0
0
0
0
0
0
8
0
0
26
8
8
0
16
16
16
16
8
0
16
16
8
24
32
0
0
0
0
0
6
4
0
0
1
1
16
12
12
12
0
16
4
0
0
0
0
48
16
0
0
0
0
0
16
41
41
0
0
16
0
8
16
16
32
58
58
8
8
8
8
0
16
0
0
8
33
33
33
8
0
0
8
8
0
0
8
0
4
0
0
0
0
0
0
8
8
4
0
0
2
0
0
24
0
0
0
0
2
2
8
24
24
16
32
1
1
1
1
16
0
0
0
0
0
0
0
0
0
0
0
0
16
0
12
12
0
0
0
0
0
1
0
0
0
16
8
8
8
8
16
0
0
0
8
8
0
0
0
24
0
0
0
8
8
8
0
0
0
0
16
40
40
0
8
0
0
2
0
16
16
0
0
2
0
0
0
0
16
16
0
24
24
8
8
0
16
20
0
24
0
2
4
16
16
16
0
4
4
16
12
12
0
0
0
0
2
1
1
0
4
0
8
8
8
0
16
16
16
16
16
16
4
6
6
4
1
1
0
0
28
16
0
1
8
8
16
0
8
18
0
0
0
0
8
2
16
0
0
0
0
16
28
0
8
16
0
0
0
0
0
4
16
0
0
0
0
20
4
4
0
16
16
0
12
60
0
0
6
1
1
12
12
0
0
16
16
0
4
0
0
4
4
16
16
8
0
2
8
8
8
8
4
6
6
0
8
0
8
1
8
8
0
0
4
2
4
4
4
4
4
8
9
0
0
0
0
0
4
2
3
2
2
8
8
8
0
16
0
0
0
0
0
4
0
0
17
8
8
0
0
0
8
4
4
0
24
24
0
0
16
4
0
0
0
4
16
16
0
0
0
0
24
24
8
0
8
8
8
8
8
8
0
8
0
8
8
22
0
0
2
16
4
16
16
8
0
0
0
16
1
1
1
0
0
0
0
0
0
18
16
16
0
0
12
12
36
36
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
24
24
0
1
9
8
8
0
16
0
0
1
16
4
2
0
0
0
0
0
4
16
16
0
1
1
4
8
8
16
0
6
1
1
0
0
0
0
0
0
8
0
18
22
0
0
0
0
0
0
0
0
0
0
0
18
2
41
41
0
0
0
2
0
8
8
0
8
8
0
0
1
1
1
1
1
0
0
8
0
16
16
8
0
4
0
2
2
34
16
0
0
0
8
8
4
16
16
0
8
8
0
0
0
8
8
0
0
0
2
6
17
17
17
0
0
2
0
2
2
0
2
16
16
0
0
0
0
0
0
0
0
0
0
24
0
17
8
0
0
0
0
0
0
0
0
8
8
8
8
0
16
0
8
8
8
0
8
8
8
16
8
0
16
20
0
0
2
1
1
17
0
16
1
1
0
0
16
16
0
16
10
10
0
1
10
10
10
4
44
0
0
0
0
8
8
16
0
8
0
16
16
8
22
16
0
0
0
0
0
0
16
0
0
42
8
0
0
0
8
4
16
16
16
8
8
8
16
16
16
9
0
16
0
0
0
0
0
8
0
0
0
0
0
0
8
8
0
0
2
2
0
0
16
0
2
2
8
8
8
8
0
0
0
16
16
16
0
17
1
16
0
16
16
8
8
24
8
20
8
0
0
0
4
4
0
0
0
0
16
1
1
0
8
0
1
0
0
0
24
0
0
39
0
0
0
2
8
4
0
0
0
2
16
0
0
22
20
20
2
1
0
9
32
0
0
0
0
0
44
0
0
0
0
0
8
1
1
1
1
16
0
8
8
8
0
16
0
0
8
16
8
8
12
0
0
0
0
0
16
16
16
16
16
22
0
4
4
4
4
4
4
4
29
21
16
16
16
16
0
16
16
0
0
0
0
16
0
0
0
1
1
1
0
16
16
0
0
0
0
8
16
16
0
26
0
0
0
0
0
0
0
16
16
16
16
16
0
0
0
8
8
0
16
16
16
16
16
1
8
2
0
0
0
8
8
16
8
1
1
1
24
24
8
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
5
5
5
5
0
0
0
5
0
0
8
8
0
6
6
0
0
16
16
16
8
16
16
16
0
0
0
0
8
0
4
8
0
24
2
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
16
0
0
16
16
0
0
1
16
16
0
0
12
0
0
2
16
18
0
8
8
8
12
16
0
0
0
0
0
0
0
0
16
16
1
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
4
20
4
4
4
8
8
8
0
0
32
32
32
32
0
16
0
0
0
1
0
0
8
0
0
0
0
0
8
8
8
32
0
0
2
4
0
0
16
16
0
0
24
8
4
5
5
0
0
22
0
0
4
4
0
0
0
0
4
4
0
0
8
0
8
0
0
0
2
1
0
4
8
0
0
0
0
0
1
0
0
0
29
29
0
8
0
0
0
0
0
0
1
0
0
16
0
8
8
8
0
0
0
0
8
0
8
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
16
16
0
0
0
0
0
16
0
8
8
4
8
8
8
0
0
0
32
32
8
0
21
20
0
0
0
0
4
0
0
16
16
0
0
8
16
16
16
16
16
16
0
0
0
8
8
8
8
1
8
8
8
0
16
16
0
8
0
0
0
0
2
8
0
0
16
0
0
0
0
34
0
0
0
0
8
0
0
0
0
8
8
8
40
8
0
0
8
0
26
26
10
0
0
0
0
21
16
0
0
0
0
0
1
8
0
57
16
16
28
16
0
0
0
0
0
8
8
0
0
4
4
0
8
4
26
0
0
8
8
0
0
0
0
0
16
0
0
0
0
0
8
8
16
16
8
0
0
0
8
0
0
0
1
8
8
8
0
2
4
0
8
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
17
8
0
0
0
0
17
48
0
0
0
8
8
0
1
2
0
0
0
24
0
1
1
4
0
0
8
8
8
8
0
0
0
8
0
0
0
0
0
0
0
32
32
0
0
0
0
0
8
0
0
0
0
0
16
4
4
0
4
4
4
0
0
0
1
1
2
2
0
16
0
0
0
0
17
17
24
0
0
0
0
0
0
2
0
16
16
2
2
0
0
8
0
0
0
0
0
20
0
4
4
4
0
16
16
24
0
0
0
8
0
0
0
8
8
8
8
8
8
8
0
0
0
0
0
0
0
0
2
2
8
2
2
16
16
16
16
16
16
0
0
0
0
8
0
0
16
0
0
0
0
8
0
0
8
0
8
10
10
10
16
2
2
2
2
2
0
0
0
0
0
0
2
0
8
0
0
16
1
1
20
16
0
0
5
0
8
0
16
16
16
16
24
24
0
24
16
16
0
0
4
0
18
18
16
16
16
4
0
16
16
0
0
0
0
0
16
0
0
0
0
0
8
8
1
1
25
24
0
20
3
0
0
8
0
0
16
0
0
0
8
8
0
0
0
12
12
8
8
8
8
8
24
8
0
0
8
0
0
0
0
0
2
12
12
0
28
0
0
0
1
8
0
2
2
2
52
0
0
0
0
0
0
8
0
0
0
0
0
0
0
18
2
8
8
16
16
0
1
0
0
0
10
0
0
1
1
8
16
16
0
16
16
0
4
4
0
0
8
8
0
8
8
0
0
0
0
0
0
0
0
0
0
0
1
0
0
20
0
0
0
0
2
2
1
1
1
0
0
1
0
0
16
4
4
0
0
0
9
0
0
16
16
8
0
0
8
8
8
8
4
1
1
0
0
0
16
0
0
10
1
12
0
0
0
0
8
0
0
9
0
16
0
0
0
8
8
4
0
0
16
8
8
0
1
1
9
17
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
16
16
8
8
8
16
16
16
0
0
0
0
0
0
0
12
8
8
16
8
0
0
0
8
8
8
0
20
8
24
8
8
0
0
8
0
18
8
0
0
0
2
2
16
16
0
0
0
16
16
16
16
16
16
0
0
0
25
16
0
0
0
4
28
16
16
32
32
32
1
0
0
0
58
0
0
0
0
0
0
8
8
8
8
8
8
8
8
0
6
0
0
0
0
17
0
0
0
8
4
0
0
0
0
0
8
8
0
16
6
17
0
0
21
0
12
8
0
0
16
16
0
0
8
8
16
8
0
10
2
0
24
8
8
8
8
24
50
8
0
2
8
0
2
2
2
0
0
0
16
4
4
8
0
0
0
0
0
1
4
9
9
8
6
16
8
2
8
8
4
0
0
8
8
8
8
8
1
1
1
8
8
1
1
8
1
1
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
8
8
0
0
0
16
8
8
1
0
0
0
8
8
1
1
1
0
8
8
8
16
32
32
32
0
1
1
1
1
1
8
8
8
8
24
8
8
0
8
16
4
0
0
8
8
2
2
8
8
8
0
0
0
0
24
48
16
16
4
0
16
0
0
0
0
0
0
0
8
0
16
16
8
8
8
8
8
32
48
48
48
0
0
32
4
8
2
8
4
8
8
8
8
8
16
16
16
16
16
16
12
12
0
0
0
8
8
8
8
2
2
2
2
2
2
4
4
4
4
4
4
8
8
41
41
0
9
20
9
0
0
0
24
8
8
8
8
0
0
8
8
8
16
16
32
8
5
5
0
4
4
8
8
8
16
16
16
16
20
25
4
2
1
8
1
0
8
8
8
0
8
8
0
16
1
0
20
20
2
10
1
1
1
1
1
1
1
10
0
8
8
8
8
16
16
16
0
8
8
8
8
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
16
16
16
0
0
0
1
1
8
8
0
0
0
0
0
0
0
0
16
0
0
0
32
0
0
0
1
8
8
8
16
0
0
0
0
0
16
0
0
0
0
0
0
0
0
8
0
0
0
8
1
2
16
16
16
24
24
24
0
1
26
0
0
8
8
2
6
1
32
24
0
0
0
0
0
0
0
1
8
8
1
1
0
0
0
2
6
2
10
8
8
0
8
8
8
0
37
16
2
10
16
0
0
0
10
8
0
8
0
16
16
0
0
8
4
8
1
1
0
8
8
8
48
16
16
16
8
8
8
1
1
1
1
1
1
16
24
0
0
16
8
8
8
8
16
16
16
16
4
0
16
16
16
8
0
0
0
32
16
1
0
0
0
8
8
32
16
6
6
2
2
16
16
0
16
8
8
8
8
8
0
0
10
10
8
8
8
8
0
0
0
0
0
0
8
8
8
0
0
0
8
8
2
0
0
8
0
16
16
0
32
20
20
2
4
4
4
32
2
0
2
2
2
2
1
16
16
8
24
24
8
8
18
8
8
8
16
16
16
0
5
1
4
16
16
16
16
16
16
32
32
16
16
2
16
1
1
8
8
8
8
16
16
16
9
8
8
16
16
16
16
8
8
8
8
8
8
11
11
16
8
16
2
2
56
40
32
8
40
32
8
8
16
4
8
8
16
2
0
0
8
4
4
0
0
8
8
8
4
4
4
4
4
8
8
8
16
4
4
4
12
24
0
0
0
0
0
14
32
32
0
0
0
0
0
0
0
0
8
8
0
0
8
8
0
1
1
0
24
24
24
24
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
0
8
8
8
0
0
8
40
40
8
8
8
0
0
0
0
0
1
1
1
1
0
16
16
16
0
0
0
0
17
17
17
17
16
16
16
0
16
16
16
16
4
4
0
1
1
1
0
8
8
0
0
8
20
20
2
2
2
16
16
16
16
0
0
16
16
16
16
18
8
8
8
1
16
0
8
0
0
20
20
8
8
4
4
0
24
24
16
16
0
0
8
8
8
1
1
1
37
37
37
16
0
0
0
8
16
0
8
2
16
16
16
16
0
0
44
32
8
8
2
2
2
0
0
0
0
0
1
1
1
8
8
0
8
8
8
0
0
0
1
0
0
0
32
32
0
0
0
8
8
16
16
16
16
0
8
8
8
8
4
8
0
0
0
0
1
1
0
8
0
10
16
16
8
0
0
4
4
4
4
0
0
8
8
16
16
16
16
16
4
4
4
16
0
0
0
0
0
0
9
8
0
0
0
8
0
8
0
16
16
16
2
0
0
0
8
8
8
8
8
1
1
9
17
0
2
2
2
2
0
8
8
8
0
0
16
16
16
16
16
16
8
8
8
16
8
8
0
8
16
16
16
8
8
0
8
8
0
8
8
8
8
16
16
16
0
8
0
2
1
8
8
8
8
8
8
16
8
8
2
4
4
4
1
1
1
0
57
8
0
8
8
0
1
8
8
8
8
0
16
8
8
8
8
8
5
0
0
0
0
0
32
32
2
1
1
8
16
16
16
4
4
4
4
4
9
8
8
8
16
0
16
8
2
0
0
0
0
8
8
8
0
0
0
0
16
0
25
25
1
1
1
32
32
32
32
32
32
0
4
0
0
0
0
1
0
48
48
48
48
32
32
32
8
8
8
4
4
4
4
0
10
10
10
3
16
2
2
48
38
8
8
8
24
16
16
16
16
8
8
32
1
4
8
8
8
8
8
1
1
0
0
0
18
8
8
8
4
4
8
8
8
0
10
10
10
8
8
0
0
8
8
8
8
1
1
0
0
14
14
14
4
4
16
0
0
0
0
8
2
2
4
8
8
8
8
8
0
0
16
16
17
2
1
16
16
16
2
2
16
8
0
16
0
8
8
16
16
16
16
0
8
0
0
0
2
0
1
32
0
8
8
0
0
0
0
0
0
16
24
0
0
24
0
0
16
0
16
16
0
0
0
0
0
0
0
0
16
0
0
18
0
4
4
16
16
8
2
2
2
2
16
8
8
8
0
10
10
8
1
8
9
22
16
8
16
16
0
9
0
0
0
0
1
1
8
8
2
16
16
8
0
0
0
16
16
16
16
16
16
16
16
16
16
16
8
8
2
2
8
16
16
1
4
4
4
4
4
16
16
16
24
24
24
16
16
0
0
0
0
1
9
0
0
4
1
1
1
8
8
8
8
4
4
16
16
8
8
0
4
2
8
8
8
8
1
0
8
17
8
16
16
16
16
16
17
16
1
1
0
4
4
4
4
0
8
0
8
8
0
0
0
0
0
16
4
4
9
9
9
9
8
8
32
32
2
2
2
4
0
0
0
8
8
8
8
8
8
8
20
0
0
16
0
0
0
0
8
0
8
8
16
8
8
8
8
0
24
16
1
1
1
1
8
8
8
8
8
8
8
0
0
16
16
16
0
8
8
8
8
1
8
8
17
1
1
1
1
0
8
0
0
0
4
2
0
0
24
8
4
4
16
0
0
0
0
8
2
4
4
4
8
0
16
16
8
16
16
16
16
16
16
16
0
17
17
17
0
0
0
8
24
24
24
8
0
4
0
0
0
0
6
6
0
0
0
8
8
8
8
8
0
16
4
0
16
16
8
8
8
8
0
0
0
0
0
4
16
20
0
0
0
0
0
8
8
0
0
0
0
0
1
1
2
0
32
8
32
8
1
8
8
8
8
2
0
8
8
8
0
12
16
16
0
2
2
2
2
17
32
8
8
8
8
5
16
16
16
16
16
4
4
4
16
16
16
16
16
16
8
8
8
52
8
0
2
2
0
0
0
0
0
0
0
0
0
0
8
8
16
16
0
8
0
32
16
4
8
8
8
8
8
8
0
16
16
16
16
16
0
0
0
0
16
16
0
0
5
5
5
16
16
8
32
16
16
16
16
16
0
48
8
4
8
28
12
12
8
8
0
0
4
4
4
4
0
2
2
4
16
8
4
8
8
8
8
8
8
24
24
8
10
10
1
0
0
0
8
16
16
8
8
8
8
8
4
0
0
0
0
20
20
20
20
8
0
16
4
16
24
8
16
1
1
16
1
1
0
0
0
0
16
16
0
0
17
1
1
2
16
16
0
8
1
0
4
4
4
16
8
0
5
8
1
8
16
0
8
8
0
8
8
8
8
0
8
8
0
0
16
16
0
8
8
16
0
0
0
0
1
2
1
0
8
8
8
4
4
8
0
1
8
8
0
2
3
1
16
16
0
8
8
32
35
4
4
0
8
0
0
0
8
20
2
0
0
1
1
8
8
8
0
0
2
4
2
2
0
1
0
0
4
4
0
8
17
17
0
0
0
0
0
0
0
0
16
16
16
16
16
36
8
8
8
0
0
16
2
2
1
0
16
0
0
32
32
32
32
8
8
8
0
1
1
1
1
0
0
0
0
0
0
0
0
8
8
8
8
0
0
0
8
8
0
8
1
0
8
0
8
8
4
0
16
16
16
0
0
4
4
8
8
0
0
0
16
4
4
4
4
4
16
16
16
16
16
16
16
1
0
0
4
4
1
16
16
8
8
8
8
8
8
8
8
0
0
16
2
2
16
0
0
8
8
8
8
8
0
0
8
8
0
16
16
16
16
2
16
16
0
16
16
16
16
0
0
0
0
0
0
0
0
0
0
4
4
16
8
8
16
16
24
24
24
8
8
8
8
0
1
0
0
0
0
0
0
0
0
8
0
0
0
0
16
16
16
0
1
0
16
8
8
8
8
0
16
16
8
8
8
8
0
8
12
0
32
8
8
16
0
8
24
8
8
0
8
8
8
8
8
1
1
0
0
0
0
16
16
16
16
16
16
16
16
0
0
0
32
4
4
8
8
8
8
8
8
16
16
0
2
8
8
4
20
1
1
1
4
1
1
16
16
16
24
24
24
58
2
2
2
0
8
8
8
2
0
0
0
0
8
8
1
17
8
16
16
16
16
0
0
0
0
0
1
16
16
16
1
1
1
1
1
0
0
0
0
8
1
1
1
2
0
0
0
3
3
8
12
8
8
8
16
16
16
4
8
16
16
0
0
0
0
0
16
2
2
2
2
17
8
8
1
8
0
0
0
21
12
8
9
9
8
16
16
8
8
0
1
4
4
18
22
8
8
0
0
0
0
4
0
0
16
8
16
16
16
0
0
1
8
16
0
0
1
8
0
24
0
0
0
0
0
8
4
1
5
16
16
16
8
8
0
16
16
1
2
8
8
8
0
24
24
24
24
16
16
16
8
8
0
8
8
8
8
16
10
1
1
1
1
1
8
8
8
8
8
8
8
8
8
8
4
16
16
16
16
16
16
0
0
16
16
16
16
16
16
16
8
1
0
16
16
0
0
8
8
24
24
24
24
24
0
0
0
4
4
0
0
0
16
16
16
0
0
2
2
2
2
1
1
1
8
8
16
16
16
1
1
1
1
8
8
8
8
2
2
0
0
0
0
0
8
8
0
0
0
0
0
0
0
16
0
4
8
1
1
1
16
0
16
4
0
8
16
8
8
8
8
0
8
24
24
24
0
0
0
0
8
8
0
0
0
0
1
1
1
8
9
9
9
0
0
8
8
8
17
17
17
17
17
0
0
0
0
0
0
0
26
16
16
16
16
16
16
0
0
0
8
8
8
4
4
54
54
54
8
8
8
16
16
16
36
0
0
4
4
1
1
18
18
0
0
8
4
0
0
0
0
2
0
0
8
0
8
8
1
1
9
8
0
0
0
0
0
4
2
2
2
4
2
2
0
0
0
16
4
4
4
0
16
8
8
8
8
2
6
24
24
24
24
16
16
8
8
8
9
0
0
0
0
0
4
4
0
32
0
0
0
8
8
4
16
8
0
0
0
8
8
8
8
0
0
4
16
32
32
0
0
0
8
8
8
8
17
0
45
16
16
16
0
0
16
0
0
4
10
16
8
8
8
0
0
0
0
0
4
4
4
9
9
9
16
4
4
8
32
22
22
22
22
8
8
8
24
24
1
1
0
9
0
0
0
8
0
0
8
0
8
8
0
0
0
0
16
8
22
16
16
24
24
24
0
1
1
0
0
8
0
0
0
32
12
12
12
12
12
12
0
0
16
0
0
0
48
48
8
40
8
8
8
8
1
1
1
0
0
0
0
8
8
8
8
8
8
8
0
0
0
0
2
2
16
16
16
16
0
0
0
0
8
8
16
0
1
8
8
12
12
12
1
1
1
27
8
8
4
4
0
1
0
8
0
8
4
4
0
0
2
0
4
4
4
9
1
1
8
8
2
0
8
8
8
8
8
8
16
16
16
16
16
8
8
8
8
0
27
27
27
27
50
50
50
16
16
16
8
0
0
1
1
1
16
8
8
40
8
0
16
0
5
5
8
8
17
0
8
8
0
56
56
56
4
1
8
0
16
0
0
16
24
24
0
0
8
8
8
4
4
4
0
2
2
8
0
0
16
8
8
8
8
8
0
16
4
16
16
16
16
16
16
16
12
4
4
4
1
32
32
17
17
17
0
0
8
8
8
8
8
8
8
12
16
16
8
8
8
16
16
16
0
26
8
16
16
8
20
4
0
1
16
8
8
8
0
0
2
2
2
4
18
16
24
24
16
16
16
0
0
0
6
6
8
1
1
16
16
0
0
8
8
8
1
1
0
16
0
8
16
16
16
16
4
4
0
0
8
0
0
1
1
1
0
0
16
8
2
16
16
16
16
16
16
8
1
16
0
8
8
16
0
0
0
2
2
0
16
16
16
0
8
8
16
4
8
8
0
16
8
1
8
8
16
16
16
0
0
0
40
0
18
18
18
18
18
18
8
8
16
16
0
0
8
8
8
8
16
0
0
1
8
16
16
16
0
8
8
8
2
0
0
1
24
0
8
8
0
16
0
8
24
1
1
1
16
4
4
1
1
1
0
16
8
16
24
4
8
8
0
0
8
8
8
8
8
8
8
8
3
3
3
3
1
1
2
16
18
1
32
8
8
8
8
8
8
1
32
16
0
8
8
0
0
8
16
0
2
2
2
0
0
8
18
18
18
0
0
0
16
16
16
16
16
16
16
16
16
16
0
0
16
16
16
8
8
8
8
8
8
4
4
0
0
16
16
16
16
8
8
16
16
16
16
16
16
8
1
2
2
8
8
0
0
0
0
8
16
0
1
1
1
1
8
16
24
24
24
0
0
8
0
17
0
0
0
8
0
8
8
0
16
16
16
0
1
16
16
16
16
16
16
16
16
0
0
0
0
0
0
8
8
8
2
2
2
2
16
16
16
8
0
8
8
2
2
2
24
24
24
8
8
8
16
16
16
0
4
8
8
8
0
0
0
0
0
0
0
0
0
0
16
16
16
16
8
0
0
8
2
10
2
14
4
0
12
12
12
12
4
8
16
16
12
0
8
2
2
2
2
2
16
16
1
4
9
8
8
0
0
8
20
20
9
9
9
20
20
1
1
8
40
40
40
40
40
8
8
8
8
8
2
2
2
0
0
8
8
0
0
28
0
0
30
30
0
0
0
0
0
8
8
32
57
16
48
6
0
8
8
8
0
0
8
0
4
2
2
4
4
4
8
9
9
9
1
1
4
2
2
2
0
0
0
0
16
0
0
16
8
8
16
16
16
4
1
8
14
12
12
12
12
4
8
8
8
8
0
0
0
0
0
16
4
8
8
16
8
4
16
16
1
8
8
1
1
1
25
0
8
8
8
8
8
16
16
8
8
0
0
0
9
1
57
8
8
0
0
8
8
8
2
8
16
4
4
4
4
4
24
8
24
0
0
8
16
16
16
18
0
0
0
0
0
1
4
8
0
16
1
55
1
1
8
2
32
8
0
0
4
8
8
8
8
4
20
20
32
16
8
8
0
0
0
0
8
0
0
0
0
0
4
0
0
16
16
16
16
16
0
40
40
40
1
8
0
0
8
8
4
20
0
2
0
2
16
16
16
16
16
20
0
0
3
40
1
1
0
8
8
0
16
16
2
1
1
20
0
16
8
8
8
8
28
0
0
0
0
0
8
8
8
16
16
16
9
8
17
16
16
16
0
2
0
8
16
16
0
16
16
16
1
8
8
8
16
4
32
1
1
1
0
4
4
4
8
8
8
9
9
16
0
0
16
0
5
5
5
5
8
0
1
1
1
0
0
0
20
0
0
2
2
4
4
4
4
16
4
0
0
0
8
1
1
8
16
39
0
0
0
16
16
16
8
8
8
0
32
32
32
18
2
8
8
8
0
3
3
8
8
8
0
0
0
0
0
0
0
16
8
8
0
0
1
0
0
0
16
0
16
21
8
8
8
16
16
24
24
0
7
7
0
4
4
0
16
0
0
1
1
1
1
8
8
0
0
8
7
0
16
8
21
2
0
0
0
0
8
8
8
4
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
8
0
0
8
8
2
2
16
0
32
32
0
0
8
0
0
34
8
8
0
0
16
9
8
8
0
0
16
16
16
0
16
16
0
16
32
32
16
16
4
8
8
8
8
4
4
1
16
8
0
0
33
0
0
0
0
0
8
8
0
0
0
1
1
9
12
12
2
2
1
1
0
0
0
0
0
8
8
8
1
4
0
8
0
35
35
18
18
16
16
16
4
16
0
0
0
8
16
16
16
16
0
24
0
8
8
8
8
8
8
8
8
1
1
6
0
0
50
50
32
32
8
10
8
8
8
8
8
8
8
8
8
8
8
0
0
8
8
0
4
4
0
0
8
0
1
1
1
0
16
16
16
0
16
16
0
0
0
0
0
0
4
8
8
4
4
0
0
0
0
0
0
0
0
16
8
8
8
8
8
8
16
16
16
0
0
0
0
8
8
8
8
0
24
24
24
24
2
2
9
8
8
8
8
0
18
4
0
0
0
0
4
4
0
8
8
8
0
16
8
0
32
0
0
0
0
1
1
16
4
4
4
16
16
4
4
4
16
0
8
2
0
1
1
16
16
16
0
26
32
0
16
16
8
24
1
0
0
4
4
16
0
0
0
0
0
8
8
0
0
2
2
2
2
20
2
2
2
0
0
16
8
8
0
4
4
0
2
8
1
0
0
0
0
18
18
18
57
57
16
16
2
2
8
8
0
16
16
8
8
8
8
0
8
8
8
2
2
2
0
8
0
1
8
8
8
8
0
0
0
8
8
1
1
8
0
1
8
8
8
16
16
8
1
0
0
4
0
8
1
0
0
32
32
32
0
0
0
0
8
8
8
16
16
16
8
8
0
8
0
0
0
0
0
2
2
0
8
0
0
0
8
0
8
8
8
8
8
0
12
2
24
8
0
16
16
16
24
8
8
8
8
4
8
0
0
8
8
8
8
0
0
0
0
9
8
0
0
0
16
16
16
0
16
8
8
0
0
2
2
2
2
16
16
16
16
0
0
8
16
16
0
8
16
2
2
8
8
0
0
4
4
4
4
0
0
16
16
4
4
0
0
20
1
4
16
16
0
0
0
0
0
0
0
0
0
1
1
1
0
0
2
16
16
16
8
8
8
16
16
8
8
8
0
1
1
0
45
8
16
0
16
20
0
4
0
8
0
0
2
0
0
16
0
4
0
16
16
0
0
0
0
0
0
0
0
0
32
1
8
8
8
8
36
46
19
0
8
8
8
8
8
8
8
8
1
1
1
1
0
16
16
0
0
0
1
1
16
8
0
0
0
0
32
32
32
4
4
4
2
49
3
8
0
0
0
0
4
4
0
0
32
8
0
0
8
8
8
8
8
8
0
0
0
2
8
8
8
8
8
16
16
16
16
16
16
56
8
8
8
8
8
12
0
0
18
0
0
0
16
16
16
8
0
0
16
16
16
4
16
4
0
0
0
0
0
16
16
16
16
8
8
16
32
32
8
8
8
1
16
16
2
0
16
8
0
8
24
24
0
8
8
1
8
0
0
8
8
0
0
5
0
17
16
0
0
8
0
0
1
1
8
32
32
9
8
8
4
22
4
4
32
32
0
0
8
24
8
16
8
8
8
8
8
5
4
16
8
8
0
0
0
0
0
4
4
4
8
1
1
0
0
0
16
16
16
8
1
8
8
8
8
8
8
12
12
1
8
8
8
0
8
8
0
8
8
16
2
2
2
2
2
2
2
2
2
38
16
48
48
48
4
4
0
0
0
1
2
0
0
0
0
12
8
8
16
16
16
1
1
0
32
32
32
32
8
8
8
8
4
4
0
0
0
0
0
1
1
0
0
0
0
16
16
8
8
0
0
0
4
4
0
0
0
8
0
8
8
16
0
1
16
16
16
16
8
8
1
1
1
1
32
8
40
8
8
2
1
8
10
10
16
1
1
8
8
16
0
32
0
0
0
0
0
0
0
16
0
0
24
24
13
13
16
0
24
16
16
16
8
8
8
5
8
8
17
21
1
24
0
0
0
0
4
4
4
28
28
8
8
0
0
32
8
0
8
8
8
16
8
16
2
16
0
50
50
16
16
16
1
1
16
16
16
16
2
0
0
0
0
8
8
1
8
8
8
1
1
1
1
1
0
0
8
8
8
8
16
32
0
1
1
1
1
4
1
1
1
0
8
8
8
8
8
0
8
0
0
40
40
32
32
32
32
32
16
16
2
0
0
8
8
8
4
1
8
16
16
16
8
8
8
8
40
8
8
40
32
8
32
0
0
0
0
0
24
0
0
8
8
8
8
1
1
0
0
0
16
16
16
2
2
0
0
0
0
0
8
8
8
8
4
1
0
0
0
0
0
1
1
8
16
0
8
8
1
0
4
8
8
0
21
1
1
21
1
1
1
4
4
4
4
4
16
0
8
16
16
16
16
0
29
17
17
12
0
1
1
16
0
2
2
17
8
8
8
16
16
16
8
8
4
4
0
16
16
4
28
0
8
16
16
8
2
2
46
0
8
16
16
16
32
32
32
32
32
32
32
17
32
8
8
8
16
16
16
0
8
16
8
8
8
4
4
16
16
16
4
4
4
4
4
0
8
17
17
8
8
9
0
0
0
2
2
2
2
2
8
0
0
0
0
17
17
16
16
8
1
1
8
9
16
16
1
16
0
0
0
0
16
4
16
20
20
10
10
8
16
0
8
3
3
8
8
16
16
16
16
0
18
48
48
0
0
0
24
24
1
1
0
0
0
20
2
2
2
24
0
3
11
32
16
16
8
8
8
2
0
0
0
16
4
0
8
8
33
16
2
2
0
0
8
0
0
0
0
18
0
32
32
32
4
4
4
4
2
4
8
8
8
16
16
16
16
16
2
2
4
0
0
2
1
0
0
1
8
0
8
16
16
16
0
8
0
4
4
4
12
32
0
0
0
0
0
8
16
16
16
16
16
16
8
0
8
8
8
0
8
16
0
4
4
8
8
8
8
1
1
1
0
0
8
2
4
16
48
20
32
48
2
2
16
16
16
16
8
8
8
8
16
8
8
8
8
8
8
8
0
16
20
16
1
4
4
6
4
6
6
4
32
16
0
1
1
8
0
8
24
8
8
8
8
8
0
0
4
4
8
8
16
16
16
0
0
0
0
0
0
4
16
4
4
8
8
8
8
0
4
16
16
0
8
8
8
8
16
16
16
16
8
8
8
8
0
0
1
0
16
8
0
0
8
8
0
0
0
0
4
4
16
16
16
16
16
16
16
16
16
16
16
16
16
16
8
8
4
4
4
4
4
2
8
16
8
0
0
0
0
1
1
16
16
16
0
0
0
0
0
8
16
0
0
8
4
32
32
32
32
32
8
8
16
0
0
9
9
9
2
2
2
0
4
0
4
8
8
8
8
8
2
10
2
17
0
8
8
8
8
8
8
16
16
16
0
0
8
0
0
0
0
1
16
16
8
8
8
8
0
1
16
16
16
16
4
4
4
8
8
8
16
16
16
16
16
16
16
8
0
8
0
0
4
4
32
32
8
4
16
8
8
8
0
1
4
16
16
2
12
0
24
20
20
0
0
3
0
4
4
0
0
0
0
16
16
16
16
16
0
8
0
27
1
0
2
2
0
0
4
16
16
2
16
1
32
4
18
1
21
2
8
8
8
8
8
8
0
0
8
24
16
16
16
0
24
24
24
16
16
16
8
8
4
13
13
16
1
1
1
0
8
8
16
16
8
16
18
18
18
16
0
0
24
24
5
0
16
16
8
13
13
13
13
0
8
1
0
0
8
8
8
1
0
1
1
1
0
0
0
1
0
0
0
0
8
15
8
8
16
16
16
0
0
16
16
0
8
0
0
8
0
16
16
0
0
16
4
4
4
32
32
32
16
16
24
18
8
0
0
8
16
8
8
0
24
24
1
8
8
8
8
5
0
1
1
1
16
24
24
24
16
16
16
16
8
8
8
8
8
8
8
17
0
0
8
8
8
16
16
16
8
8
8
8
8
8
8
0
0
4
8
0
0
4
8
16
16
16
16
16
8
8
8
0
0
0
8
8
0
0
0
16
16
16
8
16
0
8
8
8
22
0
4
16
8
8
8
8
8
8
0
8
2
2
32
1
2
2
2
2
0
8
8
0
16
8
8
8
8
8
8
8
8
16
16
8
16
16
16
32
32
16
16
16
16
16
16
1
1
19
16
16
8
8
8
8
8
24
24
4
8
8
16
4
4
1
1
0
16
2
2
24
0
18
8
8
8
16
8
8
8
8
16
16
8
8
8
0
9
9
8
3
21
8
32
0
0
8
8
8
8
8
8
8
2
2
1
1
4
8
8
10
10
10
8
8
8
8
0
16
16
12
8
2
16
16
16
16
8
0
0
8
8
0
2
2
0
0
6
6
0
0
0
0
0
0
0
0
0
0
0
32
32
8
0
16
32
24
27
0
0
0
16
8
32
32
16
24
8
8
9
16
2
2
2
2
4
4
4
8
8
8
8
2
2
8
0
0
0
0
4
33
1
1
1
0
0
0
8
8
8
8
8
8
8
1
1
8
0
0
8
8
8
8
8
16
16
8
8
8
16
16
0
0
0
32
32
32
1
0
24
16
16
1
56
56
56
56
18
41
13
8
16
16
18
8
8
8
8
16
0
8
0
44
44
1
1
1
1
17
17
24
8
0
16
1
6
4
4
4
0
0
16
16
16
16
16
16
16
16
8
12
12
12
0
8
8
8
8
0
0
1
4
8
8
8
0
0
0
0
8
8
16
16
0
0
1
1
1
13
1
8
8
8
4
4
2
8
8
8
8
8
20
20
20
20
16
16
16
8
8
8
8
17
25
25
24
1
10
0
8
0
0
4
4
4
4
4
6
4
8
9
9
1
1
1
8
8
8
8
8
16
3
48
8
16
16
16
16
16
16
0
8
16
16
16
24
12
8
8
8
8
8
8
2
1
1
1
2
8
37
1
1
0
2
2
0
0
0
0
1
8
4
4
8
8
0
0
4
4
4
4
4
2
2
8
1
1
1
1
8
0
0
0
0
0
16
0
0
0
0
8
8
9
9
9
2
1
8
40
6
8
0
0
0
0
0
0
0
8
1
1
16
8
8
8
4
0
2
2
2
8
8
8
8
0
34
17
17
0
0
17
17
0
0
0
0
0
0
12
16
16
8
1
1
1
1
1
1
8
0
32
16
16
16
16
0
8
8
8
8
8
2
16
16
16
16
8
8
2
0
16
16
16
16
16
16
4
4
16
8
32
8
40
8
8
1
1
8
8
0
8
16
16
16
1
16
16
24
0
0
0
0
0
16
16
16
2
0
18
18
24
0
16
0
0
40
40
8
8
8
8
8
8
8
0
0
16
16
16
12
0
0
0
4
4
0
0
0
0
2
16
0
0
0
0
0
0
0
0
8
1
1
2
2
16
1
16
16
16
16
0
9
0
0
0
16
8
16
16
8
8
16
16
16
0
1
1
16
16
0
32
8
0
0
2
2
2
4
2
1
0
8
16
16
8
8
8
0
0
16
4
4
4
34
34
34
0
8
2
6
2
16
16
0
0
16
1
8
8
16
0
4
4
4
2
2
16
18
16
16
16
2
2
16
16
18
8
0
0
0
0
0
17
17
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
8
16
20
20
20
20
20
20
20
20
20
20
20
20
20
20
20
16
0
16
16
16
16
8
8
8
8
8
0
8
8
8
8
28
8
8
8
8
8
8
8
0
0
0
0
0
0
17
8
8
8
18
16
16
2
34
1
16
18
0
0
0
0
2
8
8
8
0
10
10
2
8
8
8
24
16
16
8
0
24
1
1
1
1
20
1
0
8
0
0
0
2
2
8
16
8
8
8
8
0
8
8
4
4
4
8
16
4
24
8
0
16
0
0
0
4
4
4
4
8
16
8
2
16
16
16
16
8
8
8
8
8
8
0
8
8
8
8
2
0
16
16
8
12
4
4
4
4
4
4
16
1
8
8
8
8
0
0
0
8
8
0
17
0
0
8
8
8
8
0
0
18
24
24
24
0
0
0
0
0
0
9
8
8
16
1
9
9
9
9
9
2
2
1
4
8
27
27
2
2
8
8
8
20
8
8
16
1
1
8
8
8
0
8
8
8
2
8
8
8
8
0
0
1
8
8
4
8
8
8
16
16
16
16
16
0
0
48
48
16
16
8
1
1
4
8
0
0
8
8
8
16
0
8
16
16
22
20
32
8
8
8
8
28
28
8
8
0
0
0
16
16
16
16
16
16
16
0
0
0
0
8
8
0
16
0
0
0
4
4
4
0
0
8
0
0
0
0
1
28
0
0
16
32
32
24
24
0
0
0
8
8
0
16
0
0
0
16
2
0
2
3
18
2
0
1
1
1
1
4
16
1
24
8
8
0
0
4
4
4
4
8
32
8
28
28
6
2
16
16
16
16
16
1
0
16
17
16
16
16
16
1
1
24
24
24
0
0
8
24
24
16
48
32
2
0
0
16
16
16
0
2
1
4
4
0
0
2
2
2
1
1
24
24
24
0
16
16
8
16
0
16
16
4
16
24
2
2
37
37
37
37
37
37
8
8
0
0
0
17
0
0
0
0
0
0
1
8
8
8
16
16
8
1
0
8
8
0
4
4
4
0
8
8
8
4
16
16
16
0
0
0
0
16
8
0
0
8
0
1
0
0
8
4
4
24
8
8
4
4
4
4
0
0
2
2
2
2
2
2
0
0
28
0
0
0
0
0
0
8
0
4
4
0
32
8
8
8
8
16
16
16
16
16
8
8
8
8
8
8
8
8
8
5
5
5
18
0
0
0
0
0
0
16
16
16
1
1
1
0
20
4
0
0
0
16
16
16
0
1
1
1
17
17
0
0
8
0
0
8
8
8
8
8
8
0
36
32
8
0
0
0
0
0
6
16
0
4
8
8
0
0
0
8
16
16
20
21
20
16
16
0
24
8
0
16
24
1
8
24
8
4
0
1
0
8
8
8
8
1
8
8
8
4
8
8
8
0
1
1
1
4
1
1
1
1
0
0
0
16
16
32
16
16
16
16
16
4
4
18
2
2
28
0
0
0
0
0
0
0
0
1
1
1
1
1
1
4
16
0
0
16
16
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
8
8
8
0
0
4
8
8
8
16
16
16
4
0
8
16
8
4
8
8
16
11
11
2
16
8
8
8
8
8
16
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
5
5
0
0
0
0
0
3
3
11
0
0
0
0
0
0
1
1
1
0
0
0
16
16
16
16
16
16
8
8
8
8
8
8
8
8
8
8
0
0
0
0
8
0
0
16
16
8
8
8
0
16
16
0
0
1
0
16
16
16
0
8
8
0
8
53
53
53
16
16
0
16
16
0
2
2
8
8
8
8
8
8
8
24
0
0
0
0
2
2
16
16
0
37
37
37
16
16
16
16
16
16
16
24
8
2
2
2
1
0
0
39
0
8
2
8
8
8
8
0
0
0
0
4
4
4
2
2
2
0
8
4
0
0
0
1
2
2
8
8
8
16
8
8
0
0
8
8
8
16
16
16
4
8
17
17
17
17
8
2
2
8
17
1
1
1
1
0
8
8
8
8
8
16
16
16
8
8
8
0
8
8
24
24
24
24
24
8
8
16
8
24
8
8
8
0
0
8
8
8
8
8
30
16
0
0
16
4
16
16
16
32
32
32
8
8
16
2
16
8
8
8
16
32
32
32
10
0
0
20
20
0
8
8
32
32
16
8
8
0
16
16
8
8
0
16
16
16
16
8
1
1
10
1
3
1
1
8
8
8
8
8
8
0
8
0
32
32
16
16
16
16
16
16
16
8
24
0
2
1
1
0
0
0
16
0
0
0
0
0
0
0
4
4
4
8
8
8
1
0
0
8
16
1
16
0
8
20
16
0
0
18
0
16
16
16
0
0
4
8
8
8
0
0
0
5
5
5
5
5
4
4
0
25
25
8
16
16
16
16
16
16
1
1
1
16
1
0
0
0
0
8
8
0
16
16
16
16
2
0
2
0
1
8
8
0
0
16
16
16
16
16
16
8
0
16
16
16
16
17
17
25
17
29
29
29
16
16
16
16
16
0
12
12
0
0
8
8
8
8
8
8
0
8
24
16
16
0
20
20
16
0
16
8
8
16
2
8
6
8
2
10
16
16
0
0
2
2
2
0
0
8
8
4
0
9
9
9
1
0
0
0
0
0
2
2
2
0
8
8
11
8
8
16
0
16
16
16
0
0
0
16
12
12
17
17
17
17
0
16
8
16
0
0
8
8
8
8
8
8
8
0
0
0
8
2
10
4
0
1
3
0
8
8
0
0
16
16
8
8
0
0
0
0
0
4
8
8
0
0
8
8
8
8
8
8
8
8
8
8
8
8
4
4
18
18
18
16
8
8
8
8
17
17
8
8
1
0
4
16
16
39
16
16
8
16
0
16
16
16
8
0
0
2
1
33
0
0
0
0
0
0
12
12
0
0
8
8
0
0
8
8
8
0
0
8
2
0
0
0
0
7
4
4
4
6
4
0
0
0
0
0
0
0
16
8
8
8
8
32
32
0
0
0
16
32
16
0
8
0
0
0
16
8
0
0
8
8
16
16
16
1
0
1
1
8
8
0
0
0
0
0
2
8
10
10
0
8
8
8
8
8
8
6
2
0
16
3
2
16
0
16
9
9
9
8
8
8
8
8
17
48
8
24
0
0
1
1
0
24
0
24
18
18
18
18
18
18
0
6
0
0
0
0
0
0
24
24
24
24
0
8
8
8
8
0
8
2
8
0
0
2
2
8
8
8
0
0
8
16
16
16
16
16
16
16
16
20
0
4
1
1
1
1
0
2
2
8
8
8
2
8
8
8
0
0
8
8
0
8
8
8
0
16
8
16
16
16
8
24
0
24
24
0
16
16
16
16
16
32
0
0
0
0
8
0
0
16
8
18
0
16
8
48
16
16
16
16
16
16
0
6
6
6
6
12
12
1
1
1
1
8
8
8
8
8
2
4
4
12
12
12
24
24
0
8
8
8
0
4
4
4
4
4
4
2
2
22
16
16
0
0
8
0
0
16
32
32
32
32
2
2
2
8
0
8
3
3
16
16
16
16
16
8
0
16
22
1
8
0
0
24
0
0
0
0
0
0
0
16
0
0
0
8
28
8
8
0
10
10
10
10
2
2
2
2
34
49
8
8
4
4
4
4
4
0
8
16
16
16
0
0
0
0
0
16
8
8
4
4
2
4
4
4
4
4
4
8
8
8
0
8
8
1
1
8
8
1
1
16
1
1
0
0
0
8
8
8
16
25
25
8
8
0
40
0
8
2
2
2
16
16
16
1
1
8
16
16
16
16
48
8
16
4
18
18
18
0
0
8
16
16
16
16
16
0
0
8
0
16
16
16
16
16
16
16
16
16
4
0
0
0
0
8
8
8
10
8
10
39
0
0
1
8
0
1
4
18
18
18
0
0
0
8
8
16
16
16
16
32
8
8
26
26
26
26
8
8
4
4
8
8
10
10
8
8
0
0
0
0
0
1
1
0
8
8
8
0
8
8
8
8
8
0
16
16
16
16
16
8
8
0
0
8
8
8
8
24
24
1
0
0
8
0
0
0
8
0
8
0
8
8
16
24
24
0
16
16
16
8
8
8
8
0
0
0
0
0
0
2
20
16
0
0
8
4
2
20
16
16
16
8
8
17
17
8
0
16
16
16
16
0
17
16
16
16
16
16
16
8
8
0
4
17
17
48
48
48
48
14
14
8
8
6
0
0
0
0
0
9
16
0
17
0
8
0
8
0
0
0
0
12
0
1
1
1
13
8
24
18
18
18
18
18
0
16
0
0
4
0
0
0
16
8
24
24
8
8
4
4
6
8
8
8
8
28
28
28
36
18
16
1
0
0
0
16
0
0
1
8
8
0
0
16
33
22
22
16
4
4
16
16
16
16
16
8
8
8
8
1
1
4
0
0
0
0
0
16
1
1
16
8
16
24
24
0
0
0
0
0
8
0
0
0
8
8
8
8
8
8
16
16
8
8
8
8
8
32
36
8
8
1
1
1
1
8
0
0
0
0
8
0
16
16
16
0
0
24
24
8
8
9
0
0
0
0
0
4
0
0
8
0
0
0
1
1
1
40
16
0
0
0
0
0
0
2
2
2
2
8
8
8
0
0
0
16
8
0
0
0
0
8
0
0
0
0
0
0
0
12
0
8
0
0
16
16
16
0
0
8
24
0
0
0
16
8
24
24
24
24
0
8
8
9
9
2
32
32
32
0
0
0
4
4
1
8
8
0
0
0
0
0
0
16
8
8
8
8
24
24
4
4
16
9
16
0
0
8
2
2
0
16
6
1
2
2
2
0
8
8
0
0
0
0
16
0
8
0
8
16
16
16
16
16
16
0
0
0
16
16
0
0
0
0
6
6
6
6
6
4
40
1
16
0
0
0
0
0
0
0
8
8
8
8
8
8
8
0
8
8
8
8
1
0
0
0
0
0
0
0
0
32
32
0
16
4
4
4
0
8
4
8
0
0
0
0
16
24
16
16
37
37
0
0
8
8
10
10
0
0
0
4
4
0
0
0
0
0
0
0
24
8
8
16
16
16
0
8
1
4
4
0
0
0
0
0
0
0
0
0
8
8
0
1
8
8
8
8
1
1
1
4
1
0
0
0
0
0
16
16
0
0
16
16
0
8
16
9
0
0
0
0
0
0
8
0
0
0
0
0
0
9
16
20
20
2
16
16
8
8
8
16
0
0
0
10
16
16
8
8
8
0
8
16
2
32
8
8
8
8
0
16
8
0
8
4
4
0
8
24
24
24
0
16
32
32
0
8
8
8
8
16
4
4
4
0
8
8
8
8
0
0
0
16
8
17
1
8
4
4
4
4
4
4
0
1
8
8
8
26
0
8
8
0
0
0
0
16
16
16
11
8
32
32
0
0
8
32
8
8
8
0
0
0
0
8
8
8
8
16
0
4
4
0
0
0
0
0
0
0
0
16
0
8
1
32
32
48
8
2
2
2
2
32
32
32
32
32
2
2
2
8
8
9
0
1
0
52
53
53
16
0
24
16
16
0
1
2
0
0
16
16
16
16
16
16
16
0
0
1
1
6
6
1
1
8
8
8
8
9
2
2
8
8
8
0
0
0
1
8
1
1
0
0
0
20
16
8
4
4
32
2
2
0
0
16
0
0
0
0
0
0
0
0
1
0
4
8
8
0
0
16
33
0
1
1
0
0
16
8
0
0
4
1
0
8
8
0
16
8
30
20
0
0
0
8
8
1
1
5
0
16
8
0
0
32
25
24
0
0
0
0
4
8
8
1
8
8
8
0
0
0
4
0
60
60
16
8
1
1
8
8
16
16
0
0
4
8
48
32
12
0
16
16
16
16
1
1
8
8
2
2
2
0
0
16
8
16
4
4
0
0
0
16
16
16
16
16
16
1
1
1
32
5
8
20
8
16
8
8
8
8
8
8
8
0
0
8
21
0
8
0
0
8
8
16
4
4
4
1
0
0
0
0
4
4
0
8
8
16
0
28
1
0
2
16
2
0
4
8
8
8
8
24
1
8
48
48
0
0
0
0
0
26
1
1
1
0
0
0
0
4
0
12
0
8
8
8
8
8
8
8
0
0
32
32
32
32
32
32
0
0
0
0
32
32
32
1
0
7
7
8
16
16
0
16
16
8
8
8
1
1
8
9
12
9
0
0
0
8
8
0
16
0
8
0
0
8
16
16
16
8
8
8
8
16
16
0
16
8
20
16
0
0
0
16
16
1
1
5
8
6
6
16
16
8
16
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
1
0
8
8
4
16
16
16
3
16
16
8
8
8
8
8
8
0
0
8
0
2
2
32
0
16
8
0
8
24
24
2
2
0
0
0
0
2
1
1
24
0
0
0
4
4
0
8
16
8
2
8
8
8
8
8
16
16
0
0
8
17
17
0
0
0
0
0
0
0
0
16
0
0
0
16
8
24
16
32
8
8
8
2
2
0
8
8
8
8
56
16
0
24
24
56
56
16
0
1
1
1
1
0
8
8
9
9
0
8
0
8
8
8
16
24
1
1
1
1
0
16
16
0
8
8
0
8
4
16
16
0
0
0
16
8
8
8
25
8
8
8
8
0
12
0
0
0
0
0
0
8
8
0
8
8
8
8
1
0
0
16
16
0
8
16
17
16
8
0
16
16
0
16
8
4
32
32
0
0
1
0
8
8
2
9
9
4
16
24
24
24
0
1
8
0
1
0
16
0
0
8
56
16
20
8
8
8
8
8
8
0
0
0
8
8
0
0
32
32
32
32
8
8
0
0
0
0
4
4
4
4
4
0
0
0
18
18
18
4
1
8
16
0
0
16
16
16
16
8
0
0
0
32
8
8
16
16
16
0
0
0
0
20
20
20
20
16
16
8
1
8
28
28
8
9
0
0
8
1
0
0
8
12
0
0
24
0
8
8
8
8
8
8
8
16
16
16
24
8
16
16
16
16
16
16
16
1
16
16
16
12
12
1
3
24
2
2
2
1
1
1
1
1
0
0
32
32
32
32
32
0
17
0
0
0
0
0
0
16
8
0
0
0
0
0
0
0
0
0
0
9
9
8
8
8
8
8
8
8
8
0
1
1
1
1
0
0
8
0
0
2
16
16
24
24
0
16
16
16
16
16
44
8
8
8
8
16
8
8
26
8
0
0
8
0
0
16
16
16
16
16
16
16
2
16
8
8
0
0
8
8
8
8
0
0
16
16
32
12
16
8
8
8
0
0
8
8
8
8
4
0
0
0
8
0
16
0
0
0
20
20
20
2
2
2
8
8
8
8
16
16
8
1
8
8
2
18
18
8
0
4
4
4
4
8
8
8
8
17
17
4
0
0
0
0
0
16
16
16
0
8
8
8
8
2
0
8
8
4
4
32
32
32
32
32
8
16
1
1
1
8
8
0
0
8
16
16
0
0
0
0
0
4
12
12
12
16
17
16
16
16
16
16
33
8
8
8
0
0
0
0
25
0
8
8
0
8
4
32
32
32
0
32
2
8
8
8
32
0
10
0
8
8
8
8
8
8
24
24
8
8
8
0
1
5
0
8
0
2
2
2
2
2
2
1
0
0
4
5
4
12
10
10
0
0
4
8
0
0
8
0
17
16
16
0
0
8
8
8
8
0
0
8
8
16
0
0
6
1
1
1
56
0
0
0
0
8
0
0
4
0
0
8
8
0
0
0
2
0
8
8
0
0
0
0
8
8
0
16
8
8
16
16
16
40
10
8
16
1
1
0
0
8
8
8
8
10
8
0
8
8
0
0
8
0
8
8
0
0
0
4
0
0
0
48
32
32
12
8
0
0
0
8
8
8
0
8
8
28
20
0
8
6
2
2
2
0
0
0
4
4
4
1
1
1
1
1
8
1
1
2
2
17
17
17
1
1
48
48
48
16
28
28
28
0
2
2
2
24
24
0
0
0
0
48
48
48
48
48
48
0
0
0
0
0
8
8
8
2
0
0
24
24
4
4
1
0
0
0
0
8
0
1
8
8
9
0
8
8
16
16
8
16
16
0
8
16
0
0
16
16
16
16
16
16
16
8
8
8
5
29
5
12
0
12
12
0
0
0
16
17
17
17
16
8
8
8
2
16
16
16
16
0
2
24
24
16
16
0
6
16
16
16
0
4
16
40
40
4
32
32
24
16
2
2
8
0
8
8
8
16
16
16
8
8
0
0
38
38
12
12
0
0
24
24
0
18
0
0
0
0
0
8
16
16
16
18
18
18
8
8
8
8
8
9
25
2
0
0
8
16
16
4
4
8
1
6
0
0
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
24
1
8
8
16
16
4
4
4
8
16
16
48
48
8
8
0
8
0
16
16
16
0
0
8
16
16
16
16
16
8
0
0
16
16
4
0
0
0
8
8
8
0
8
8
8
8
8
8
32
8
8
8
8
18
0
0
0
8
16
16
8
0
8
0
0
0
0
3
3
8
8
8
8
8
48
8
8
8
8
1
5
5
0
8
4
8
8
8
8
1
1
2
2
2
0
0
8
8
4
4
8
8
1
0
8
24
2
36
36
0
4
4
4
0
0
0
4
4
0
0
0
16
16
0
8
8
8
8
8
8
8
8
8
8
32
16
2
16
0
16
16
16
16
8
1
9
1
1
8
24
8
8
8
8
0
0
17
1
0
4
0
20
8
8
8
2
5
5
2
2
2
0
8
35
35
8
16
8
48
16
0
0
8
8
8
16
16
16
16
4
2
2
2
2
16
32
0
16
34
0
16
4
4
0
4
4
16
16
16
16
8
0
0
0
8
8
0
8
8
8
8
4
8
16
16
16
16
8
0
4
4
1
1
1
1
16
16
8
0
0
9
9
8
4
8
4
4
48
32
0
16
16
16
2
2
16
8
0
34
34
34
4
1
2
16
16
16
8
8
25
16
8
25
25
4
4
4
4
4
16
16
16
41
2
2
0
0
8
0
0
0
0
0
8
9
8
8
8
8
8
0
16
8
8
8
8
8
8
8
8
48
48
48
0
0
2
0
0
24
8
8
8
8
8
8
8
8
8
16
16
0
17
1
1
4
8
9
8
24
16
20
20
26
26
26
26
0
0
8
0
0
4
0
0
8
8
8
8
8
0
0
0
0
0
2
0
0
1
16
8
8
8
8
16
8
16
16
0
0
16
8
8
0
0
0
0
0
16
16
16
16
2
8
8
2
0
16
4
4
4
4
4
8
8
8
8
32
32
32
2
2
1
10
10
0
25
8
8
8
8
8
8
8
0
0
0
0
8
0
8
8
57
4
4
3
2
2
2
16
2
2
24
5
5
16
16
8
8
0
8
0
0
0
0
0
0
0
0
0
0
0
16
16
16
16
0
1
16
16
16
16
16
8
16
16
16
16
16
16
1
8
8
8
16
16
16
32
1
1
8
8
8
8
8
8
8
8
16
16
16
16
4
0
8
8
8
16
0
0
8
8
0
2
0
0
0
8
8
8
40
40
8
1
1
12
12
0
8
16
8
0
8
8
8
16
12
8
8
16
0
1
1
1
32
8
8
8
0
0
0
16
16
16
0
0
8
8
20
4
8
0
8
8
14
16
1
1
0
8
8
8
4
0
8
8
8
6
6
6
0
0
8
8
16
2
2
2
2
2
2
2
2
4
4
32
32
32
8
8
16
9
0
0
0
0
0
16
16
16
16
16
2
2
0
0
16
1
1
1
1
1
8
0
2
0
0
4
0
8
8
8
8
0
0
0
4
4
0
0
24
1
32
8
0
0
0
8
8
0
12
0
8
8
8
8
9
8
18
18
0
0
26
26
8
8
8
0
0
1
8
8
8
8
0
8
0
8
8
8
0
0
0
0
0
1
1
1
1
4
4
4
4
4
16
16
16
16
0
0
0
6
2
8
0
16
0
0
0
0
8
0
17
17
17
8
16
16
16
16
8
8
8
8
8
8
0
4
4
8
8
16
16
8
8
8
8
16
16
0
1
1
1
0
0
8
8
8
8
8
8
8
8
8
10
4
16
8
8
16
1
0
16
8
8
32
8
0
0
0
0
0
8
8
8
8
8
0
0
0
0
0
57
16
16
16
16
16
8
0
0
16
32
32
32
32
32
4
4
12
12
0
16
16
0
0
0
16
16
2
2
8
8
0
0
16
16
16
16
0
0
0
0
0
0
0
8
8
8
0
25
25
25
2
2
8
32
32
1
1
8
8
8
1
1
1
1
1
1
0
24
8
8
0
0
0
0
0
1
0
41
2
2
2
0
0
18
0
8
16
16
0
0
0
0
0
16
2
2
2
8
2
2
2
8
1
0
0
32
32
32
32
32
16
16
24
24
24
5
5
5
5
4
4
16
16
16
16
1
0
0
32
32
16
16
16
16
12
8
8
8
8
8
8
8
8
0
0
18
18
8
2
8
8
16
16
16
16
16
0
0
8
8
0
8
32
32
32
8
8
8
8
61
24
0
24
24
16
16
16
16
16
16
16
0
8
18
18
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
1
9
0
0
16
0
0
0
0
0
8
26
12
12
8
8
8
25
8
32
4
16
16
8
8
8
8
8
8
24
8
28
1
1
1
1
20
0
0
24
8
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
8
0
0
18
2
0
16
16
4
4
22
0
0
32
16
16
16
2
2
2
5
5
5
0
16
16
2
2
16
16
4
16
8
12
8
0
0
0
0
0
8
8
16
8
8
8
8
0
1
8
8
8
4
12
2
4
4
8
8
8
0
0
8
8
8
16
0
4
0
1
0
2
2
8
8
8
8
8
4
0
16
16
0
16
0
4
4
4
8
0
0
0
0
0
0
16
4
12
0
0
1
0
0
8
32
32
2
6
2
2
0
0
0
16
16
2
16
16
16
4
0
16
16
16
8
32
2
16
8
8
0
8
8
0
0
0
0
0
0
0
1
1
32
32
32
32
0
0
16
16
16
0
0
0
0
2
2
8
27
8
8
1
0
0
0
8
28
8
0
1
0
16
16
2
0
3
0
0
16
0
0
8
8
8
0
1
1
1
1
1
1
4
16
16
16
16
16
8
8
8
32
32
34
20
0
0
34
0
16
16
0
1
0
0
17
16
0
0
0
9
9
9
9
0
16
16
0
16
16
0
8
16
3
8
4
4
16
16
16
16
0
0
8
4
4
4
12
8
8
16
16
16
2
16
0
0
0
0
0
0
0
16
16
8
16
16
4
4
2
2
8
8
1
1
1
1
1
1
1
1
1
1
1
8
8
8
8
8
8
0
1
1
1
16
4
1
8
0
0
8
8
8
49
8
8
8
4
8
8
16
16
0
32
16
16
2
2
2
2
0
0
0
0
16
0
8
8
0
8
8
8
0
0
16
16
16
16
6
24
24
24
1
8
8
8
4
16
0
8
8
16
16
16
0
0
0
0
0
2
2
56
56
8
0
4
4
0
0
4
4
4
4
4
4
16
8
8
8
8
16
0
32
32
32
16
0
16
0
16
16
0
0
0
2
16
0
0
0
0
0
0
5
8
8
0
0
0
0
16
16
16
8
0
0
1
1
1
1
4
4
25
0
0
0
8
0
0
0
0
0
0
0
0
1
8
8
12
12
8
8
8
8
0
0
16
16
16
1
0
0
0
0
16
0
8
8
8
8
8
0
0
8
16
16
0
0
16
8
0
2
8
8
8
1
1
8
2
2
8
8
8
8
0
8
8
1
4
16
16
4
4
16
16
8
8
8
8
8
0
0
8
32
0
0
4
0
8
8
2
8
8
1
1
1
1
1
1
16
16
0
8
8
0
8
32
8
8
8
8
2
0
0
5
2
0
8
0
0
8
4
20
20
20
0
0
0
0
0
0
0
0
0
1
1
8
8
8
16
16
16
8
8
0
16
16
16
16
16
16
16
16
16
1
16
16
0
4
0
0
0
16
8
41
41
41
28
0
0
8
0
8
8
8
8
8
8
8
8
8
1
4
4
4
12
12
8
6
6
6
6
4
4
4
4
4
4
4
4
8
1
1
16
0
16
13
0
0
0
0
8
8
0
4
4
0
16
16
8
24
1
1
1
0
0
8
2
0
0
16
16
8
8
0
0
0
16
16
16
16
0
0
0
0
16
16
16
16
16
16
16
16
0
32
2
0
4
0
0
8
8
1
1
1
0
0
0
0
2
16
16
0
0
0
0
9
16
16
2
2
8
8
8
0
0
0
0
8
8
8
8
2
8
9
2
2
2
2
2
0
3
0
0
8
0
8
8
8
8
0
0
8
8
8
8
16
16
0
0
0
0
8
8
12
8
8
8
0
2
1
1
1
16
16
0
32
32
32
32
8
8
8
2
2
2
16
1
16
16
16
2
0
8
8
8
8
8
8
8
8
8
8
5
5
5
0
16
4
6
12
4
16
8
8
0
0
0
0
8
8
4
4
4
16
4
8
8
24
4
16
0
2
8
8
0
0
0
6
6
16
1
8
2
2
8
0
0
16
16
16
16
22
0
8
16
16
8
8
8
8
8
4
16
16
8
8
8
16
16
16
25
17
1
1
0
0
8
8
16
1
0
0
8
8
8
16
48
4
4
4
4
1
0
0
0
0
24
16
4
24
25
0
0
8
16
16
16
24
0
8
8
8
8
0
16
16
8
4
12
4
4
24
16
8
8
0
0
4
4
0
4
16
2
0
16
16
16
16
16
16
16
1
8
8
18
0
8
8
8
8
8
8
0
4
4
4
32
32
32
32
8
8
0
0
20
8
8
8
0
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
0
1
1
0
0
0
8
8
4
8
16
16
4
4
16
8
8
8
17
16
16
8
33
4
33
0
0
0
8
8
8
8
0
0
25
25
21
21
16
16
8
8
8
0
0
8
8
8
4
4
4
4
8
8
8
8
8
16
4
6
4
1
1
1
28
28
4
4
0
8
2
2
2
2
2
2
2
20
8
8
8
32
8
24
16
16
16
8
16
16
16
16
16
0
0
9
1
1
16
16
16
16
48
48
48
48
48
48
48
48
32
16
0
8
8
16
18
8
0
0
0
0
0
0
25
25
0
0
0
0
0
24
24
20
4
16
16
8
4
4
0
16
16
16
32
32
2
8
16
0
0
0
0
8
8
8
4
4
0
0
8
8
8
8
16
16
16
16
0
1
5
16
0
8
8
8
1
8
32
0
0
16
16
16
16
16
16
16
16
0
32
16
8
16
16
9
32
1
8
16
0
0
0
2
0
4
16
2
2
2
2
0
0
0
12
0
2
2
16
8
8
0
0
0
8
0
1
1
0
0
0
8
8
4
0
8
1
1
1
8
0
0
2
2
2
2
2
24
16
16
16
16
0
0
0
0
17
17
17
17
16
16
8
8
8
8
8
2
2
24
16
16
8
16
16
16
9
1
0
0
8
14
8
1
0
24
0
8
0
0
0
0
4
8
8
8
16
16
16
0
8
8
12
8
16
17
17
17
17
16
16
16
16
16
2
8
8
4
0
0
2
2
2
0
0
0
23
18
18
18
8
8
0
16
16
16
16
16
8
8
0
0
8
8
8
8
0
16
16
16
16
16
16
8
8
8
6
6
6
0
16
16
16
1
1
0
24
16
8
8
8
8
8
8
8
8
8
16
8
0
0
8
8
2
8
0
0
8
8
8
16
16
16
16
16
16
8
8
8
8
8
0
0
0
0
16
16
16
16
16
0
8
16
16
0
16
16
1
1
1
0
8
24
0
16
28
16
16
16
16
16
0
16
12
0
16
8
8
8
16
16
16
32
8
0
2
0
24
24
24
0
0
24
20
2
2
8
8
0
0
0
8
8
8
8
16
2
2
2
16
2
2
8
8
0
8
24
24
8
0
0
0
8
8
9
9
16
16
16
16
0
0
0
1
1
1
1
8
4
3
0
8
0
0
0
0
0
0
0
8
8
16
1
1
8
2
16
20
25
25
0
8
8
8
8
8
8
4
4
0
0
0
8
8
8
8
8
16
16
16
16
32
32
32
32
32
0
0
0
0
0
9
0
0
0
0
12
8
8
4
9
9
8
16
16
16
16
0
24
16
12
12
2
2
2
18
0
8
0
16
16
16
2
0
16
16
0
2
2
16
16
16
16
16
16
16
16
16
0
0
0
0
4
0
0
8
8
16
16
0
4
4
4
4
2
4
0
16
16
16
8
8
4
16
32
0
0
17
16
1
24
0
4
22
6
0
8
8
4
0
16
1
16
32
16
16
16
8
24
16
16
16
4
4
3
3
1
1
8
8
8
8
8
8
4
8
8
16
16
0
8
8
8
0
0
8
8
16
8
0
0
0
0
0
0
0
0
20
20
20
32
32
32
0
0
0
4
4
8
16
8
16
16
16
16
16
8
8
8
1
8
8
16
0
0
16
21
0
2
2
2
2
2
0
0
0
0
0
0
9
1
0
8
24
2
0
0
0
0
8
8
0
0
0
0
0
17
17
6
6
6
6
2
2
2
16
16
4
16
8
4
8
8
24
8
8
4
4
4
8
16
16
16
16
0
16
16
16
16
0
3
8
3
1
1
1
1
1
1
32
8
0
10
10
8
16
16
32
32
1
1
8
8
8
50
4
8
0
0
0
0
8
8
8
8
0
16
8
8
8
0
0
0
0
0
1
1
1
1
1
1
16
16
48
24
9
8
0
0
32
40
56
9
9
8
0
0
16
16
16
8
16
16
16
16
8
18
0
20
20
20
20
0
0
0
0
0
4
4
1
1
1
1
1
32
32
2
0
8
0
0
17
0
40
8
12
1
1
1
8
0
16
16
8
8
16
4
21
16
16
16
16
2
8
0
16
8
8
8
8
8
8
4
20
16
16
24
8
12
24
24
8
1
0
0
0
0
0
0
0
0
20
0
4
2
2
4
4
4
16
16
16
16
16
16
16
16
0
1
1
1
60
60
4
8
2
4
4
1
3
16
16
0
8
8
16
0
0
0
0
8
0
0
0
20
8
16
16
8
16
0
0
0
8
8
4
4
4
4
4
2
4
8
25
16
0
8
0
0
0
0
1
1
8
16
16
8
1
16
18
1
1
1
16
16
16
1
0
48
32
8
8
8
8
1
1
1
16
0
0
8
8
8
8
8
17
1
18
16
4
4
4
4
13
0
16
16
16
0
2
4
0
0
0
16
8
0
8
0
0
0
0
8
0
0
16
4
8
0
0
8
8
8
8
0
0
0
0
4
4
2
4
1
1
1
8
16
16
16
16
16
16
8
0
8
16
16
16
0
33
33
16
16
16
8
8
16
16
0
32
24
16
16
16
8
40
40
40
2
16
16
16
17
16
0
0
0
0
12
8
17
1
0
1
0
0
0
2
8
16
16
16
8
8
4
4
4
4
4
16
16
16
0
4
4
0
0
16
16
8
16
16
8
8
8
8
8
8
8
8
8
8
8
8
8
0
16
0
8
8
17
24
24
24
0
4
16
16
60
8
48
2
8
16
16
16
16
16
16
0
4
4
0
17
16
16
16
16
16
16
0
8
8
8
8
8
8
8
16
16
12
4
4
4
4
0
16
16
16
0
8
8
8
8
8
8
8
24
24
24
8
0
1
1
8
16
20
1
16
16
0
0
0
8
8
8
16
16
8
12
16
16
2
16
0
0
8
8
32
32
32
32
8
8
0
0
20
20
8
0
1
8
4
4
4
16
16
8
8
8
8
8
12
12
0
58
58
16
16
16
0
0
8
24
24
16
9
9
8
8
8
1
4
9
9
18
0
0
1
1
16
2
1
1
1
16
8
0
0
8
8
0
16
8
8
8
16
8
8
8
1
8
8
1
17
17
0
2
2
8
16
8
8
8
0
0
16
22
22
16
17
0
8
0
0
0
1
1
1
1
0
16
20
1
1
2
2
2
0
4
4
4
0
8
8
8
4
4
8
0
16
16
0
8
8
8
8
16
2
0
16
16
16
8
8
8
8
8
8
12
8
16
8
8
0
0
0
1
1
1
0
4
4
16
8
16
16
41
41
16
16
8
1
24
24
24
0
0
0
4
8
8
0
8
8
8
8
8
8
24
0
0
0
4
0
0
0
16
20
0
0
0
1
16
16
16
16
16
0
0
8
0
0
0
0
2
8
8
8
8
0
16
8
8
8
0
0
8
8
8
32
0
0
8
16
20
20
11
8
8
8
8
8
2
2
8
8
8
4
4
8
2
2
2
2
8
16
16
16
8
8
8
8
0
8
4
4
0
0
1
2
2
2
16
16
0
3
3
3
19
0
0
8
2
8
8
8
8
0
0
0
16
16
16
16
0
0
0
0
18
1
1
0
0
0
0
21
16
16
16
2
2
0
0
8
8
8
8
20
12
2
2
2
8
0
8
8
8
8
8
2
0
16
1
8
4
4
0
8
16
16
6
34
34
8
2
8
17
17
16
8
8
8
8
8
0
0
0
0
0
0
8
8
8
8
4
4
4
4
4
4
0
8
1
1
1
8
4
4
0
0
0
2
16
16
8
0
0
0
0
0
0
0
0
8
0
8
8
0
0
16
16
8
8
8
8
0
8
8
8
8
8
8
8
1
1
1
4
16
16
0
0
0
8
0
0
16
16
16
16
0
0
0
16
1
1
8
8
8
4
0
8
0
8
16
16
0
8
0
16
0
0
0
0
0
1
0
4
4
0
8
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
16
12
8
8
8
0
1
0
0
8
12
8
0
2
0
20
16
8
20
8
0
4
0
16
16
0
20
4
4
20
20
16
8
2
2
4
4
0
0
0
0
0
0
0
0
0
8
0
1
1
8
8
8
8
8
8
8
20
1
2
2
2
8
16
16
16
8
0
0
9
0
16
0
8
8
8
8
0
18
18
1
1
1
1
32
32
32
32
0
0
0
1
1
1
1
1
6
8
8
16
8
8
0
56
24
8
8
0
0
0
8
8
0
9
4
0
8
8
8
8
4
0
0
11
11
4
8
0
24
8
20
20
8
2
0
16
16
8
24
0
16
16
16
16
0
8
8
8
8
8
8
8
1
1
0
0
0
8
18
18
18
18
16
0
0
2
2
2
2
8
8
8
8
8
8
8
8
9
8
0
0
0
24
0
8
8
8
8
8
0
0
0
8
0
0
0
12
12
0
0
0
8
16
16
8
16
4
4
0
8
8
0
0
0
0
16
0
0
8
0
20
0
0
0
8
16
16
8
16
0
0
0
0
1
1
0
0
16
16
16
0
1
1
1
16
16
24
8
8
0
0
0
0
1
0
0
8
8
8
8
8
0
17
0
0
0
16
4
1
16
16
16
16
16
32
8
8
8
16
0
0
0
16
0
0
16
16
8
16
16
2
2
0
0
1
0
8
0
0
8
8
8
0
1
0
1
49
16
16
16
0
8
8
24
16
0
0
16
16
16
16
16
16
16
16
8
8
8
8
4
16
8
0
0
0
0
0
16
16
16
16
16
0
0
0
16
17
8
0
0
0
0
0
0
0
8
16
8
0
0
2
2
2
28
12
4
16
2
1
1
1
1
0
0
40
40
40
40
0
0
8
24
8
8
8
8
8
2
2
2
2
8
8
12
16
0
0
8
4
4
16
16
0
9
2
1
8
8
8
0
2
2
2
4
4
16
8
16
8
8
8
8
0
0
0
16
16
0
0
0
0
8
1
1
8
8
25
8
16
8
8
16
16
16
16
16
0
0
1
16
8
0
0
0
0
8
0
2
8
8
2
2
8
0
4
8
0
0
0
2
16
0
4
34
34
34
8
8
8
8
1
16
0
8
8
8
8
2
2
0
0
0
0
0
0
16
0
18
0
16
16
16
0
8
8
8
8
8
28
8
8
8
2
8
8
8
0
16
16
16
16
8
24
4
8
0
0
1
1
0
8
8
4
4
9
9
16
16
0
0
0
0
16
8
8
1
2
8
8
8
8
4
4
4
0
0
8
8
8
0
0
0
0
0
1
1
1
8
8
9
6
6
16
6
33
34
0
0
5
2
2
8
8
8
8
8
0
8
8
1
1
1
8
8
16
2
2
2
0
0
28
0
0
0
0
8
2
17
17
17
0
0
1
34
2
8
8
8
8
8
8
8
8
2
16
2
16
1
1
8
8
2
0
16
8
8
16
0
0
8
8
0
0
16
0
0
16
4
4
4
4
4
16
24
4
4
4
4
1
8
8
8
1
1
8
8
32
9
8
1
9
52
36
16
16
0
32
32
2
17
16
8
0
0
0
8
8
8
8
0
0
8
8
8
8
8
8
8
8
16
0
0
0
16
8
8
8
0
16
2
2
16
8
0
0
0
0
8
8
48
48
48
48
8
0
0
8
8
8
8
8
16
4
4
4
24
24
8
2
16
16
33
33
0
1
1
16
0
0
0
8
4
8
24
0
2
2
2
2
9
0
0
0
0
0
32
32
32
8
2
0
8
0
0
0
0
0
0
16
16
16
4
0
8
8
0
56
56
56
56
56
16
16
0
8
8
8
1
1
32
40
32
32
0
0
0
16
32
48
2
4
16
0
0
0
0
0
0
0
0
16
16
8
34
8
16
2
2
0
16
4
4
8
8
0
0
16
0
16
16
16
8
8
8
4
4
0
1
1
8
0
8
8
40
40
40
0
8
0
4
4
4
16
16
16
0
0
20
20
20
0
0
0
0
0
0
0
8
2
0
0
0
0
16
0
0
8
0
0
0
0
8
8
8
12
0
8
16
16
16
16
16
4
16
8
0
8
8
12
12
8
8
8
20
0
0
0
0
0
1
24
24
0
0
0
0
0
4
0
0
0
0
0
0
8
8
16
0
0
0
0
0
0
25
8
8
48
32
32
32
32
32
32
32
16
16
8
1
0
0
0
0
16
25
25
25
25
25
25
0
0
0
0
0
0
16
16
16
16
8
29
29
0
12
16
16
16
16
16
16
16
16
8
8
8
8
8
8
8
8
8
8
8
8
24
8
1
1
1
1
0
0
16
16
8
16
16
8
2
0
0
0
0
0
0
0
0
0
8
8
8
8
1
17
4
4
4
0
0
0
0
0
0
0
0
0
1
0
8
4
2
2
2
2
2
2
0
32
16
16
16
16
16
4
4
4
1
8
8
27
2
3
0
2
2
2
8
9
8
8
8
1
9
8
8
16
56
56
8
8
8
0
16
8
20
20
32
8
8
32
0
0
0
8
2
2
2
0
8
8
0
0
0
0
8
2
2
8
2
2
32
0
2
2
2
8
8
8
12
0
8
8
16
16
16
16
48
48
16
17
17
12
8
8
8
8
8
0
0
0
4
16
16
20
16
16
16
11
2
2
2
0
8
8
8
8
8
8
1
0
0
0
0
0
0
16
18
0
4
8
1
1
1
1
2
0
8
8
24
8
8
16
0
8
0
0
8
0
1
1
16
16
16
16
16
8
0
0
1
1
20
2
2
2
0
4
0
8
8
8
8
16
16
8
8
8
39
9
9
8
0
8
1
8
8
8
8
8
8
24
24
24
0
0
0
0
16
16
0
32
32
40
8
0
16
0
0
0
0
8
8
8
8
17
21
8
16
18
16
16
16
16
16
8
8
8
0
0
0
4
4
4
4
4
4
24
24
1
3
3
0
16
8
8
8
0
8
8
0
22
22
22
8
17
0
16
8
8
10
10
16
16
0
16
16
16
0
16
0
0
0
0
8
16
16
4
0
48
48
48
0
1
0
13
4
4
4
4
4
8
0
0
0
16
0
0
0
16
16
16
16
4
4
48
48
1
1
0
0
0
4
24
8
16
0
17
4
4
0
0
8
2
2
2
16
16
16
16
16
16
16
16
0
0
0
8
8
8
8
0
8
8
8
20
8
8
8
8
1
8
8
8
8
4
4
4
4
4
16
0
2
2
2
2
0
0
8
8
42
34
0
16
0
16
16
16
16
8
0
8
8
8
44
10
10
8
8
0
8
8
0
0
0
0
0
1
0
17
16
0
0
9
0
0
25
16
16
4
0
0
0
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
4
8
8
8
4
8
8
32
32
8
4
4
4
4
4
16
16
1
1
1
0
4
0
0
0
0
0
8
8
0
0
0
0
1
1
1
1
1
8
4
16
8
0
0
0
0
0
0
40
8
8
8
8
4
0
0
0
0
0
0
8
8
16
8
16
0
0
16
16
16
16
8
1
1
1
1
1
1
2
8
16
16
16
16
8
8
16
16
0
1
24
4
4
4
17
4
0
0
8
16
16
16
16
16
16
32
16
16
8
4
4
4
4
16
50
0
0
8
8
8
16
16
16
16
16
16
8
8
16
16
8
1
1
1
1
1
4
0
26
16
16
16
16
8
8
8
8
8
8
8
1
1
25
25
8
16
16
16
8
2
2
8
8
16
1
16
17
25
25
0
0
16
0
0
0
24
18
2
16
0
0
0
8
0
16
16
0
1
1
24
28
4
4
20
9
0
0
0
18
0
16
0
22
0
8
8
0
8
0
0
0
8
8
0
0
0
16
0
2
8
8
1
8
0
0
0
0
0
8
2
0
0
8
8
8
8
8
8
8
4
16
16
21
21
8
0
8
16
16
16
16
0
16
8
8
8
8
8
8
8
8
16
16
8
8
8
8
16
48
8
8
24
24
16
16
8
8
8
16
16
16
0
8
8
8
8
1
1
1
8
16
16
16
16
2
2
24
24
0
8
8
8
8
8
8
8
8
0
0
0
16
8
8
8
8
8
8
16
8
0
0
1
0
4
0
0
8
48
16
8
0
16
0
4
8
0
8
10
10
0
0
4
4
2
2
2
8
8
0
0
8
16
0
0
8
8
24
8
6
6
6
2
20
20
20
16
16
0
0
16
8
8
8
10
0
0
0
0
16
49
16
0
8
0
24
16
0
1
24
24
24
0
0
0
0
8
8
1
1
0
0
20
20
0
0
1
1
1
16
16
16
16
16
0
0
32
32
32
32
20
0
0
0
0
0
24
0
0
0
0
24
24
24
24
24
16
16
16
16
4
8
8
8
0
8
8
8
24
16
16
0
0
0
0
0
4
0
0
0
2
4
4
1
5
4
8
16
16
8
0
4
4
4
4
0
0
0
20
8
0
0
0
16
6
16
16
16
16
8
8
8
8
32
8
8
8
8
8
8
16
16
16
52
8
16
40
8
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
24
16
16
16
0
0
0
0
8
9
8
8
8
8
8
8
8
8
8
8
16
16
34
34
8
8
8
4
1
1
1
0
8
8
8
8
8
1
1
1
8
8
2
0
2
2
16
16
16
0
0
0
0
32
8
8
2
16
16
8
1
1
12
1
8
8
0
0
0
0
8
8
8
8
24
24
16
16
16
32
4
8
8
8
8
0
0
8
8
8
41
1
48
8
8
2
4
0
4
4
32
32
8
8
4
16
4
4
0
0
0
8
8
8
24
16
8
4
8
4
0
0
16
2
16
16
16
16
16
16
17
2
8
8
8
8
0
16
16
16
4
8
0
0
0
8
8
0
0
0
16
16
17
1
1
17
0
0
0
18
18
16
16
16
8
8
8
8
1
1
1
0
0
8
8
16
16
2
16
16
16
0
0
0
0
24
24
24
16
41
32
1
0
0
16
8
8
8
8
4
16
24
16
16
2
2
2
0
4
4
4
0
8
0
24
8
8
8
0
0
16
0
32
32
32
0
0
0
16
0
1
1
1
0
0
0
0
8
8
8
8
0
8
4
16
0
0
8
18
18
18
16
16
2
2
16
16
16
8
40
40
2
0
0
0
8
8
8
8
8
16
16
8
8
0
0
8
19
8
8
8
0
0
0
8
8
8
0
1
1
8
0
16
16
0
4
16
16
32
2
1
17
0
32
0
1
1
16
16
16
16
16
19
4
8
4
16
24
40
32
16
16
4
16
16
8
4
4
0
0
16
16
0
12
24
8
8
9
8
8
24
24
1
8
26
0
1
8
8
8
8
16
16
16
52
52
4
0
0
0
0
8
8
0
0
48
1
1
32
2
16
16
16
16
8
8
0
8
0
7
24
24
24
8
14
14
0
5
8
8
8
17
0
0
1
24
8
8
8
8
8
16
16
16
8
0
25
8
8
26
8
8
8
6
16
16
16
8
3
3
3
8
8
8
8
8
8
4
4
0
8
16
32
1
1
0
8
8
20
0
8
16
16
8
0
0
0
0
0
0
8
8
8
8
8
8
1
0
0
0
0
8
8
1
2
4
0
0
2
2
2
0
0
0
0
8
0
22
8
8
8
37
1
1
0
0
0
0
0
0
20
16
0
16
32
32
32
8
8
24
20
1
1
0
0
0
0
8
8
8
8
8
8
0
0
8
8
0
4
0
8
8
8
8
16
16
16
16
0
0
0
4
0
0
27
2
2
16
8
8
8
8
8
24
16
16
16
16
16
16
16
0
16
16
16
8
16
4
4
4
4
0
0
0
8
8
16
8
8
8
16
16
16
16
4
16
8
8
8
0
16
4
24
16
16
16
1
1
24
24
2
4
1
1
1
1
24
24
24
8
16
0
8
8
8
48
48
2
8
8
16
16
16
16
1
1
1
24
8
2
16
2
2
2
2
0
0
8
8
4
2
2
0
0
0
0
0
0
0
0
8
8
16
16
16
8
4
4
4
2
2
0
8
8
8
4
0
0
0
0
20
16
0
1
10
10
0
0
8
8
8
1
4
4
0
8
8
8
0
0
0
0
16
16
16
16
8
8
0
8
8
8
8
0
1
9
9
9
9
9
9
9
1
1
0
0
1
8
16
16
8
8
4
4
4
2
8
8
8
8
8
4
2
4
4
4
0
0
16
8
20
16
16
4
4
4
4
4
8
8
12
8
8
8
8
8
8
4
0
16
8
0
0
0
0
0
0
0
8
8
2
2
2
1
40
32
32
32
32
32
8
8
2
0
0
8
0
0
0
8
8
8
8
8
8
4
4
4
8
8
16
8
8
8
1
1
8
1
1
13
8
0
16
0
0
0
0
0
0
0
0
0
0
24
2
2
2
20
27
27
16
16
1
16
16
16
16
16
24
16
8
16
16
28
28
16
1
1
1
0
16
16
16
16
16
16
0
16
16
4
16
0
8
8
8
8
9
24
4
16
16
8
0
8
0
0
12
4
4
0
8
8
0
0
0
8
1
1
0
16
16
0
17
8
16
22
16
8
8
8
16
16
0
0
24
16
16
16
16
16
4
4
8
8
17
1
8
13
0
1
1
1
1
1
33
1
1
0
0
0
8
8
8
8
8
8
0
0
2
6
2
8
8
4
16
0
8
2
17
17
17
0
0
0
0
0
8
8
8
0
5
4
4
4
4
5
0
0
16
16
16
16
0
0
0
0
8
0
0
1
0
0
8
8
8
8
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
8
32
16
0
1
1
0
25
0
40
4
22
2
2
8
24
24
24
1
1
8
8
8
4
4
4
1
1
16
16
16
8
8
8
0
8
8
8
8
0
0
16
24
16
16
8
8
30
18
8
8
0
12
16
16
0
4
0
0
2
1
8
8
0
0
0
8
4
4
6
6
2
32
32
8
8
8
0
24
24
24
1
0
0
4
8
8
32
0
0
0
0
0
0
4
4
4
2
16
24
16
16
2
0
4
4
0
0
17
16
16
8
8
1
16
4
4
0
0
32
0
0
0
0
32
32
32
32
32
16
16
16
16
2
2
0
12
12
0
18
18
8
8
8
16
0
0
8
0
8
8
8
24
24
16
16
16
0
0
0
0
1
4
4
8
8
8
8
8
8
0
0
0
0
0
0
1
1
8
8
2
2
0
0
0
12
0
8
8
8
8
16
16
16
0
2
4
4
4
0
0
8
8
8
8
8
8
0
0
0
0
0
16
32
32
24
8
8
0
0
0
16
16
0
24
0
0
16
32
32
32
0
8
1
1
1
24
8
8
16
16
8
0
0
0
1
1
0
0
4
4
4
0
24
0
16
32
16
2
3
16
4
4
0
0
0
4
0
8
8
32
0
0
1
0
0
16
16
16
8
8
17
8
0
0
0
16
24
8
8
1
0
0
0
0
0
0
0
0
0
16
16
16
16
16
16
0
0
16
0
1
1
1
1
1
2
1
0
0
6
2
1
0
0
0
1
1
2
2
0
4
9
0
0
0
0
20
8
0
0
20
25
8
24
16
8
8
8
8
1
8
0
0
16
16
20
2
8
0
0
0
8
8
0
0
8
8
8
10
10
8
8
8
8
4
2
9
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
4
4
4
15
4
28
8
17
8
8
8
8
8
4
4
4
0
2
6
6
6
6
4
4
8
8
8
8
8
8
8
8
8
36
8
8
8
8
0
9
12
8
8
8
8
8
8
8
8
0
0
0
8
32
4
4
4
16
3
19
1
16
16
16
16
0
40
16
16
56
0
0
8
8
0
0
4
16
16
16
4
4
0
0
16
16
16
4
16
16
16
8
0
8
8
0
0
0
4
4
4
4
0
0
0
16
16
16
16
0
1
1
1
1
1
8
32
0
4
4
0
0
8
8
8
8
8
32
8
16
16
16
20
4
8
8
8
2
32
32
16
0
8
8
9
0
0
8
8
0
0
0
0
0
0
8
8
8
20
20
0
16
0
22
16
16
0
8
12
8
4
8
8
8
8
12
12
8
18
18
1
8
10
4
4
16
8
32
8
8
8
5
5
0
8
8
8
8
8
16
16
4
4
2
16
8
8
0
32
0
8
8
1
8
8
8
8
0
0
8
8
8
8
8
16
16
16
16
0
0
0
0
0
10
10
10
0
0
14
8
8
0
8
8
8
8
8
0
8
4
4
4
4
8
8
24
0
16
16
16
0
8
0
8
16
16
16
1
1
16
16
4
4
4
4
4
4
4
4
1
32
32
0
16
8
16
16
16
16
16
16
0
0
8
0
24
14
0
8
0
4
8
0
0
0
0
40
16
8
0
16
16
4
8
8
8
16
16
16
16
4
4
8
17
0
8
8
8
8
0
8
16
32
0
0
4
4
4
1
1
0
0
0
0
16
16
16
16
16
16
1
1
8
8
0
0
0
0
12
8
8
16
16
16
16
0
8
0
0
0
0
0
4
16
16
16
8
0
0
24
4
4
8
8
9
1
8
4
4
0
0
5
8
16
5
8
16
0
16
16
16
16
16
16
32
0
8
8
8
8
0
0
0
0
2
16
0
16
20
16
16
4
4
0
4
4
4
0
0
8
8
0
0
0
17
8
8
8
8
8
16
4
4
0
0
4
4
4
32
16
0
8
16
0
0
0
8
8
16
8
8
32
32
0
1
0
0
0
0
8
0
8
4
4
4
16
24
8
18
28
28
4
4
4
4
4
8
1
1
4
8
4
8
8
8
8
8
8
0
0
0
8
0
0
0
0
0
0
0
0
8
8
2
2
0
0
4
8
8
8
16
0
8
8
8
8
16
7
7
7
0
0
16
0
8
8
8
8
0
0
0
10
4
0
1
9
0
8
0
0
0
1
8
16
16
16
8
8
8
0
0
16
16
0
0
0
0
0
0
0
0
0
8
0
0
0
0
8
8
8
2
16
16
1
1
1
8
16
0
0
0
0
0
0
16
16
16
0
0
0
16
16
16
24
4
18
18
18
18
16
0
0
40
40
0
16
16
16
8
8
17
16
4
8
8
0
0
0
1
1
36
36
8
8
8
4
8
8
8
8
8
0
0
0
0
0
0
0
4
4
4
4
4
4
4
4
4
0
0
0
0
0
0
24
8
8
8
0
0
4
12
32
0
0
0
4
2
16
16
16
16
8
0
0
0
0
8
0
0
0
0
0
16
1
16
16
16
48
1
2
0
16
1
0
8
8
8
8
0
0
0
16
16
8
8
1
1
1
4
4
0
32
32
0
0
2
2
0
0
0
0
1
16
16
8
8
8
19
19
16
0
8
8
16
20
20
2
8
8
8
2
8
8
56
48
16
2
0
8
16
16
16
16
40
0
24
24
16
16
16
0
8
8
0
24
8
8
8
8
8
0
8
8
4
16
8
8
0
0
8
16
32
8
8
8
8
8
0
8
16
16
2
20
8
16
16
0
0
8
8
6
4
8
16
16
0
0
1
1
1
1
1
1
1
16
0
0
0
0
0
8
8
8
8
8
8
8
8
8
16
8
16
16
2
16
0
0
8
8
0
0
0
16
16
4
0
1
8
24
0
0
0
8
8
0
0
0
40
40
8
16
1
1
1
8
8
24
0
8
5
1
24
0
0
8
16
0
0
0
0
0
0
8
8
16
0
0
8
8
0
0
1
0
0
0
0
0
0
8
8
18
8
18
18
18
32
32
8
8
8
0
52
52
52
1
0
4
8
8
4
0
4
0
8
7
7
0
0
0
8
1
43
0
0
16
16
16
16
16
0
4
8
8
56
40
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
0
0
20
20
16
16
32
32
32
32
32
0
4
4
27
0
0
0
8
8
8
8
8
0
8
8
8
24
24
16
8
8
8
8
8
8
8
2
2
2
2
2
2
2
32
16
0
0
0
0
0
0
16
32
32
32
0
0
0
0
8
16
0
18
3
2
0
0
0
4
47
47
8
0
8
0
1
0
16
16
16
0
0
0
0
0
4
20
8
0
0
0
24
24
32
24
8
8
0
0
0
2
8
8
0
0
0
16
0
0
0
0
0
0
0
1
0
4
0
0
0
0
4
8
0
8
0
0
0
32
32
32
32
16
16
8
8
8
0
16
36
36
2
0
0
0
16
16
16
16
6
6
6
8
0
0
18
2
2
0
8
12
8
8
8
8
0
0
1
1
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
1
0
0
0
16
9
8
8
4
0
8
8
16
16
16
17
8
8
4
4
4
24
24
16
8
51
16
16
0
34
8
24
0
8
1
8
4
4
4
4
4
8
0
0
0
0
0
0
0
0
0
8
24
1
1
8
16
0
0
0
4
4
4
8
1
1
1
0
16
0
8
8
8
2
2
0
0
0
0
0
0
8
8
24
8
8
8
4
17
0
0
0
0
0
8
0
8
24
24
8
8
8
4
8
8
0
0
0
16
4
16
16
24
9
8
0
8
8
8
0
0
0
0
0
8
8
8
8
8
0
0
0
8
8
8
8
0
4
0
0
0
32
8
8
8
8
16
16
16
8
8
8
8
16
8
8
8
16
8
8
32
2
0
0
0
0
0
0
0
0
0
2
0
16
8
8
8
8
16
16
18
4
0
0
0
16
16
2
8
8
16
8
8
8
8
8
16
8
8
24
24
24
16
1
9
8
8
24
24
16
16
0
0
16
0
8
8
12
16
32
32
32
32
4
16
4
2
2
16
1
1
1
16
16
32
32
32
32
32
1
4
1
16
32
0
24
16
10
0
0
8
8
8
0
8
18
1
8
0
4
4
8
8
8
16
16
8
32
32
32
32
9
9
10
16
0
16
0
0
0
0
0
0
16
48
16
0
0
0
0
40
9
9
16
16
2
2
2
10
59
59
59
0
5
18
2
0
0
0
0
2
2
0
0
0
8
8
2
2
2
2
4
16
16
16
16
16
16
8
16
16
0
8
0
16
16
16
8
8
4
4
8
8
8
0
0
1
1
16
16
16
8
8
1
2
2
2
16
0
0
0
16
8
8
8
0
10
8
0
0
8
8
8
16
16
24
1
1
1
8
0
16
4
4
4
8
8
8
8
8
0
0
0
8
40
40
40
40
40
40
8
17
17
17
0
0
0
0
8
8
16
16
4
5
0
1
1
1
0
0
0
8
1
1
1
16
24
24
16
16
18
18
0
8
8
0
8
8
8
0
0
16
16
16
8
8
24
24
16
16
16
8
0
0
0
0
16
0
1
1
16
1
8
8
0
16
16
8
8
8
0
32
32
8
32
20
0
16
16
16
16
16
16
16
0
4
22
4
0
24
8
16
0
0
0
8
8
16
12
12
12
40
8
8
8
4
4
8
8
29
8
4
4
16
8
32
0
0
0
1
8
2
16
0
0
0
0
0
10
2
4
1
1
1
0
8
8
8
16
8
8
4
0
0
0
16
16
16
16
0
0
0
16
0
0
0
4
4
4
6
18
18
16
58
8
0
16
16
16
16
1
1
2
2
2
2
16
16
8
18
0
16
16
16
2
2
2
2
2
32
32
32
8
4
4
4
0
0
0
8
8
0
0
2
0
0
0
0
0
0
4
16
0
0
0
9
0
32
16
16
16
16
16
16
16
8
4
1
0
0
0
0
0
0
16
0
0
2
2
1
1
1
1
4
8
8
0
0
8
16
16
0
0
0
5
5
8
0
0
32
32
16
8
8
8
8
0
1
1
61
61
8
0
0
1
2
0
0
0
0
0
28
28
8
16
20
20
0
8
8
8
4
4
4
24
8
8
8
1
5
0
0
9
8
8
8
4
8
16
0
8
1
1
8
8
0
18
18
18
18
18
18
0
0
0
8
16
0
0
0
0
0
0
8
8
8
8
0
0
8
8
16
0
0
1
0
0
0
0
8
8
8
8
0
1
0
16
16
2
16
16
16
0
16
16
8
8
8
16
16
1
1
1
1
1
1
9
24
24
0
8
16
16
8
0
2
16
16
16
0
0
0
2
20
16
0
0
0
0
1
1
1
1
4
16
16
16
16
24
24
0
0
2
49
0
0
16
44
44
8
8
8
8
8
8
8
4
16
16
16
28
28
0
38
38
2
38
0
24
8
18
16
16
8
16
16
24
5
8
1
37
5
5
8
8
0
8
8
8
4
8
8
8
8
0
0
4
4
8
8
8
0
8
8
8
1
0
0
40
8
0
16
16
16
16
16
16
16
9
8
8
8
8
8
8
40
40
4
4
4
24
16
8
0
16
2
2
2
8
24
8
0
0
0
0
16
0
2
2
16
16
16
8
0
4
4
2
2
2
0
16
16
4
4
4
0
8
8
8
1
32
36
8
8
8
4
4
4
16
16
16
16
0
8
8
8
8
8
0
32
8
16
0
0
4
4
8
8
8
8
8
8
1
1
28
4
12
12
4
16
16
8
8
16
16
1
0
16
16
16
16
16
16
8
8
8
0
2
2
8
8
8
8
0
0
0
8
8
8
0
0
0
0
8
8
37
8
8
8
8
16
8
24
24
8
8
16
16
4
8
8
8
0
0
52
0
0
27
19
0
0
0
16
9
9
16
16
16
0
8
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
32
8
8
6
6
0
16
8
0
8
8
8
0
0
34
32
0
8
8
8
8
8
16
16
16
16
16
4
0
1
0
3
20
20
20
20
8
0
0
0
0
0
0
0
0
0
32
16
8
8
8
0
8
8
8
0
0
16
4
8
8
4
4
4
4
4
4
4
0
0
16
0
16
16
16
0
1
1
1
1
8
45
4
2
0
32
16
16
16
8
4
4
8
0
24
24
24
8
16
8
8
8
24
0
8
0
0
0
0
0
8
8
8
8
0
0
0
0
0
8
8
6
6
2
1
1
1
1
1
1
0
0
0
24
16
0
0
0
4
4
4
0
16
0
0
0
0
16
16
32
32
32
1
1
8
8
16
16
8
8
1
32
0
0
8
8
8
8
1
0
0
0
0
0
26
26
16
16
8
8
16
0
0
4
2
0
24
24
32
0
0
8
0
0
0
0
8
16
0
0
0
0
4
4
1
1
1
1
16
8
8
16
16
16
16
16
16
16
12
0
0
0
0
1
1
16
16
16
0
1
1
16
16
4
0
8
8
8
8
8
8
8
8
1
16
16
16
16
8
0
16
16
0
0
4
4
4
8
24
24
16
0
17
8
32
32
32
0
0
1
0
8
10
12
12
0
16
16
16
16
16
1
4
16
16
8
8
8
8
8
8
8
8
1
8
16
16
16
16
16
1
32
32
32
32
32
32
32
32
32
32
32
32
32
0
0
0
0
0
1
2
2
16
16
16
8
4
4
4
4
0
16
16
16
16
16
16
16
8
16
16
16
0
48
48
16
4
4
16
16
16
4
0
0
0
8
16
16
0
32
32
0
0
16
16
16
32
32
32
24
16
9
8
16
24
26
16
0
2
2
8
32
42
16
16
16
16
16
8
8
0
56
8
20
52
52
52
8
8
8
8
4
0
1
0
8
8
0
0
0
0
0
1
0
0
0
0
4
8
0
8
8
8
8
0
0
0
0
8
1
8
40
8
8
0
8
0
16
17
17
17
17
16
2
2
2
2
24
24
0
0
1
8
20
16
0
8
8
8
8
8
16
16
16
4
4
16
16
0
49
8
8
8
8
8
8
8
8
16
16
16
0
0
0
0
22
22
10
8
2
0
24
24
0
12
12
4
0
8
8
16
16
0
0
0
0
0
0
0
24
24
24
8
8
8
8
0
0
32
32
8
8
8
0
0
0
0
0
0
0
0
0
16
0
8
8
8
4
4
8
8
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
8
32
32
32
8
4
0
8
8
8
0
8
4
4
4
8
8
16
17
8
4
4
1
1
16
16
16
16
16
0
0
0
0
16
16
0
8
8
8
8
8
8
8
1
0
0
24
1
0
16
24
8
8
4
8
8
8
8
8
9
8
4
4
16
0
0
8
8
16
0
0
0
1
33
33
41
33
33
0
0
0
0
0
16
16
8
2
2
0
16
16
16
8
0
24
24
8
16
16
16
28
0
16
16
16
16
16
32
32
0
16
16
16
16
0
0
0
16
0
0
0
8
0
16
0
0
8
8
8
8
8
8
8
0
0
8
8
8
16
4
16
18
18
18
18
40
40
40
0
32
16
1
1
1
16
16
8
8
8
16
16
18
0
8
0
8
8
24
41
0
0
18
2
4
2
0
0
8
8
8
1
1
1
16
16
16
17
16
8
8
0
0
0
0
0
0
0
4
8
24
0
0
0
24
24
0
16
16
16
16
16
8
16
0
8
8
16
16
0
0
0
8
8
4
0
0
24
8
56
8
8
0
8
8
8
0
0
0
16
16
16
16
16
16
16
16
16
16
16
0
0
0
0
24
16
16
0
0
16
16
16
16
16
8
8
8
8
8
8
8
24
24
24
16
16
57
57
57
57
40
40
40
40
40
16
16
16
0
0
56
2
2
2
16
16
16
0
8
8
8
8
0
0
56
16
8
2
2
0
0
16
8
0
4
8
1
0
0
0
0
0
0
8
8
0
0
16
8
16
16
16
8
8
8
0
16
16
48
16
16
16
16
0
1
1
0
0
12
0
0
16
16
37
8
2
0
0
0
0
0
24
24
0
0
32
10
0
0
0
48
8
0
0
8
8
8
0
0
0
0
48
16
16
8
0
2
2
4
4
8
8
8
8
8
13
8
8
8
4
0
8
8
8
8
8
0
0
0
0
16
2
8
0
8
9
9
0
2
0
8
8
12
0
0
0
0
0
0
0
22
22
22
0
0
0
0
0
0
1
8
8
8
4
0
0
0
8
2
0
8
8
24
24
8
8
0
0
0
0
0
16
16
16
0
0
8
8
8
8
8
8
1
1
1
1
1
1
8
8
16
16
16
16
16
8
2
16
0
0
0
0
0
8
8
8
8
8
8
0
0
0
8
20
8
8
8
8
21
16
8
8
16
0
1
1
1
1
1
48
16
0
0
16
16
0
41
8
16
16
40
0
16
24
24
0
0
0
8
8
8
8
24
0
16
0
8
8
8
8
16
4
1
1
1
0
28
8
8
4
8
8
8
16
0
0
0
16
0
0
1
1
0
0
32
32
2
2
2
2
2
2
32
1
1
1
0
0
0
0
0
0
0
0
17
17
17
0
8
8
2
2
2
2
6
2
8
16
16
16
16
16
16
16
16
8
8
8
8
8
8
0
16
8
4
2
24
56
56
8
49
49
49
33
2
9
0
32
32
16
16
0
24
24
24
0
0
0
1
10
0
12
12
1
2
16
16
8
8
24
8
16
16
16
16
16
8
17
16
16
16
16
16
8
8
3
3
8
8
10
10
10
16
16
0
4
4
4
8
8
8
8
0
0
8
8
0
8
16
0
16
16
16
16
0
0
0
0
0
4
8
8
16
0
1
1
1
32
32
0
0
0
16
32
8
8
40
40
40
0
0
0
8
8
2
0
0
16
16
8
24
24
0
0
0
0
0
0
0
0
8
8
28
8
8
0
20
20
20
4
4
8
8
8
8
8
32
0
0
16
16
8
8
4
4
16
0
16
32
0
4
4
9
37
0
4
4
4
4
20
20
8
8
16
0
0
17
16
24
25
16
16
8
9
13
4
24
24
0
24
16
4
4
4
4
4
4
4
4
4
4
4
0
0
8
8
8
0
16
8
0
16
0
0
16
0
8
4
4
4
0
0
0
8
8
8
1
0
0
0
0
0
0
16
16
8
20
4
4
4
0
16
20
20
4
16
16
17
17
17
0
0
4
4
8
0
0
0
2
8
32
32
32
16
16
16
8
0
0
0
16
16
16
8
8
8
8
8
8
16
16
8
20
16
16
4
4
4
0
0
0
1
8
0
0
8
8
0
0
8
2
12
2
8
24
0
48
48
8
8
16
8
16
8
16
1
0
0
0
0
0
0
0
9
2
2
8
0
0
0
0
0
0
0
4
4
4
4
4
4
4
4
4
0
0
8
45
45
45
45
45
45
0
8
0
0
0
8
22
22
16
16
16
0
3
16
16
4
4
4
0
0
0
8
16
16
16
0
8
16
16
0
32
32
32
8
8
41
0
0
2
2
2
0
1
0
8
16
8
8
0
16
16
16
16
12
8
2
2
14
14
8
56
56
56
56
0
0
0
8
8
16
24
16
16
16
16
16
16
1
0
0
0
0
0
0
0
24
16
0
0
16
1
8
8
2
2
0
0
8
8
8
1
1
32
16
16
16
4
4
8
8
8
8
4
6
47
8
47
47
0
16
16
8
4
4
4
32
32
8
8
8
8
8
8
8
8
4
4
16
0
8
29
16
4
44
8
8
16
16
16
16
16
0
0
10
10
8
8
2
2
0
16
32
32
8
8
0
1
24
24
24
24
24
24
2
2
2
2
4
4
16
8
4
1
1
4
0
8
0
0
8
24
16
16
16
16
0
16
18
0
8
8
8
13
4
0
8
2
1
1
5
0
16
8
8
8
8
8
8
8
8
8
8
8
0
16
24
24
24
24
8
0
8
24
12
0
16
1
1
1
1
8
8
8
8
32
32
32
16
0
1
13
8
16
16
16
8
8
8
8
8
8
8
8
8
0
8
8
0
40
0
16
24
8
8
8
8
2
0
16
0
8
8
0
0
0
1
1
0
0
0
0
0
8
8
8
8
8
2
16
16
0
0
1
1
1
0
16
0
0
0
0
48
32
8
20
2
4
4
28
8
8
16
4
8
8
8
0
0
0
0
0
0
0
17
16
16
9
16
0
0
0
16
0
16
8
0
0
0
4
4
8
8
8
8
8
18
4
1
1
1
1
0
20
48
8
8
0
0
0
8
8
16
0
8
8
8
8
8
8
24
24
0
0
32
16
16
0
16
8
1
1
16
8
1
0
8
0
16
16
2
16
16
16
16
32
32
32
32
0
16
16
16
16
0
16
2
2
2
2
12
8
2
2
0
0
0
2
2
16
16
2
2
2
16
16
4
4
32
18
0
8
8
0
0
0
16
16
16
0
0
0
16
2
2
2
16
16
1
1
0
1
1
1
8
8
16
16
16
16
16
0
12
8
1
32
32
32
46
42
42
42
42
1
1
1
1
4
8
10
8
28
4
18
16
16
0
8
8
32
32
32
32
32
16
16
16
0
0
0
0
18
18
18
16
16
16
16
24
0
0
16
8
0
0
7
8
16
0
32
16
16
16
4
4
16
16
8
0
0
0
32
8
11
11
0
24
24
24
8
1
16
0
8
0
0
0
0
0
16
0
20
16
0
0
0
0
8
8
8
16
8
24
16
1
8
0
34
8
0
1
0
16
16
8
8
0
16
16
4
8
8
8
4
16
17
1
1
16
16
16
0
0
8
8
16
0
8
24
0
4
8
0
16
0
32
16
16
20
4
20
0
0
0
4
0
0
4
4
4
8
8
8
8
8
8
0
16
16
12
21
0
1
8
8
1
33
1
1
1
4
0
0
0
0
0
0
0
20
20
16
16
16
16
8
4
16
16
16
16
5
0
8
0
17
16
8
24
16
0
0
0
8
8
0
20
0
16
16
16
24
8
0
0
4
1
2
2
2
26
8
8
8
8
0
0
4
4
4
4
4
4
4
1
0
0
0
16
16
16
16
16
16
0
0
0
0
0
16
48
32
0
0
0
8
8
8
8
8
8
8
8
8
4
4
0
0
0
0
0
8
8
0
12
0
16
16
16
16
16
8
8
24
24
24
24
16
0
9
16
3
0
0
0
0
16
16
1
16
16
16
16
24
16
8
2
8
0
0
4
13
10
6
6
4
16
16
32
33
0
0
0
0
16
16
16
16
0
0
0
8
8
8
8
2
2
0
8
0
0
8
8
1
8
8
24
1
18
20
20
20
8
8
16
1
1
17
0
0
0
8
4
4
0
8
8
1
12
12
0
0
0
0
16
4
1
0
0
0
8
8
8
20
16
16
16
51
1
2
8
32
32
32
16
32
0
0
1
4
16
0
8
16
0
0
0
0
4
8
0
0
0
0
0
8
8
8
8
8
8
0
8
8
8
8
2
0
0
0
8
8
0
8
8
2
2
2
0
0
0
16
16
8
0
0
0
16
16
16
16
16
16
16
0
0
36
36
1
8
8
8
8
0
4
4
9
0
16
16
16
0
8
24
8
16
16
0
0
0
0
1
16
0
16
16
10
0
32
0
0
0
0
8
24
24
24
24
24
24
8
0
36
8
8
0
24
16
8
8
8
8
8
8
24
0
0
0
8
8
8
8
8
8
0
0
2
4
24
24
24
16
0
8
16
8
0
0
0
0
0
8
8
8
8
8
8
24
0
16
55
24
24
10
10
8
0
16
8
9
9
9
0
0
16
16
16
0
0
24
8
0
8
8
0
1
8
8
16
16
16
16
4
4
0
0
0
0
0
2
2
8
8
8
8
16
1
33
1
1
1
1
1
0
8
1
1
8
8
8
8
0
0
8
8
16
0
0
4
2
4
8
0
40
8
4
25
0
33
0
0
0
0
8
8
0
2
2
2
16
16
16
12
0
4
4
0
16
16
0
24
0
4
16
0
0
9
8
8
8
8
8
8
1
1
1
24
24
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
4
4
4
33
33
33
0
2
0
0
8
8
8
8
0
0
8
0
0
0
0
0
0
0
0
0
0
8
16
16
16
16
15
0
0
16
8
16
0
16
16
4
33
33
8
20
20
20
20
2
16
16
0
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
2
48
16
0
8
0
8
8
8
29
8
16
16
16
8
8
8
0
8
18
0
0
0
8
8
1
1
0
4
0
0
0
0
0
8
8
8
16
16
0
9
9
8
4
4
4
3
0
0
6
6
6
6
6
16
16
16
16
16
1
8
8
19
0
16
2
8
16
16
8
4
4
8
8
0
0
0
0
32
0
0
8
8
4
4
4
1
16
16
0
8
8
0
0
0
32
36
0
0
16
16
8
24
24
2
8
0
17
17
17
4
0
0
0
0
0
9
9
1
1
4
4
0
8
8
9
9
0
0
0
0
4
4
4
4
4
4
24
24
24
24
2
16
16
0
0
8
8
8
8
0
0
16
16
4
4
4
8
8
6
0
10
0
16
16
8
8
16
16
8
0
0
20
8
8
8
8
8
8
8
48
1
2
2
8
8
8
6
1
1
0
0
8
16
0
8
16
16
32
16
16
17
17
8
16
16
16
0
0
0
8
18
8
8
1
1
1
16
8
8
0
0
16
16
16
16
8
8
32
0
8
8
4
4
1
1
0
0
8
8
8
16
4
4
4
0
0
0
0
0
0
8
0
0
0
0
0
16
1
0
0
0
0
0
0
0
8
0
12
8
8
8
8
33
32
32
4
4
4
4
4
4
4
0
0
16
8
0
0
0
0
8
24
16
8
8
8
8
0
0
8
17
17
17
8
8
8
8
17
17
32
4
16
16
16
16
0
0
0
8
8
8
8
8
0
16
8
2
2
2
16
8
16
8
8
8
16
16
16
16
8
0
8
8
16
16
8
8
8
1
1
1
1
1
1
1
2
2
8
8
8
0
0
0
1
8
8
8
16
16
56
56
1
1
8
0
8
8
8
8
8
8
8
0
2
8
16
0
0
9
0
16
16
1
1
1
1
0
0
26
8
16
0
0
0
0
8
8
8
16
1
1
0
0
1
1
1
8
8
8
16
16
28
32
32
32
16
16
6
6
6
1
8
8
8
8
8
8
8
8
8
8
22
16
16
8
4
4
4
6
16
0
0
8
32
32
0
0
0
8
8
16
16
16
0
8
0
0
0
0
0
0
16
17
17
17
17
1
24
24
24
24
24
24
24
8
9
0
2
2
17
8
16
16
16
16
10
2
24
1
16
8
0
8
1
16
8
8
0
0
0
0
0
0
0
16
16
57
57
8
8
8
8
0
0
0
24
24
24
24
24
24
24
24
8
0
0
0
6
4
4
18
22
1
16
4
0
16
16
32
0
8
8
0
18
2
16
0
8
8
16
24
24
24
8
8
8
8
0
0
2
2
0
4
16
24
2
0
0
0
12
12
12
12
8
8
8
8
60
8
8
1
2
0
16
0
0
0
17
32
16
16
16
16
0
0
0
0
17
17
17
2
2
2
0
8
8
8
8
4
8
4
4
32
16
4
16
20
16
16
16
0
0
8
8
8
8
8
8
8
8
8
8
8
2
0
8
8
25
25
16
1
1
8
0
16
26
8
0
0
0
0
16
16
16
16
1
8
8
20
0
0
16
4
16
16
0
0
16
8
0
4
4
16
16
16
0
0
24
8
8
24
8
8
8
10
12
16
0
0
0
0
0
16
16
16
16
32
16
8
5
0
2
0
0
0
8
8
0
4
20
0
0
0
0
1
0
8
8
8
8
8
8
0
0
18
16
16
2
2
6
4
0
16
0
0
0
0
8
25
25
4
4
4
4
8
8
8
16
1
1
24
24
24
24
24
0
0
0
0
0
16
16
16
16
16
16
8
8
2
2
4
1
1
16
0
0
0
0
19
19
1
1
0
16
4
4
4
4
4
2
16
16
16
16
16
16
8
9
9
9
9
9
12
12
16
16
16
16
32
32
16
16
16
0
8
8
8
8
8
8
8
8
8
8
8
1
1
1
1
1
1
8
8
24
4
4
4
16
16
8
0
8
6
8
16
8
8
8
0
8
8
8
8
8
8
8
24
0
8
8
8
8
0
16
16
16
16
16
16
0
0
16
16
16
16
0
16
16
16
1
1
0
24
24
24
0
0
0
18
16
16
16
16
0
0
0
0
0
8
8
8
0
0
16
0
0
8
8
8
8
4
4
0
4
16
4
4
4
8
8
1
16
16
0
0
0
16
0
8
8
8
8
8
8
1
2
16
8
8
8
8
0
0
16
16
0
0
0
4
8
2
0
0
0
8
1
1
39
8
0
0
0
0
0
0
8
8
8
8
0
32
32
0
8
0
5
1
1
1
8
0
0
0
8
0
8
0
4
8
32
8
8
8
2
16
0
24
18
8
16
0
0
0
8
2
0
8
20
16
16
16
16
8
8
8
8
8
8
8
8
8
24
16
16
2
2
16
16
16
4
8
8
0
0
0
0
16
8
0
0
0
0
16
16
16
16
16
16
16
16
16
16
16
2
2
2
8
8
0
32
0
0
24
8
0
0
0
0
2
2
8
8
16
16
16
16
16
16
0
0
0
0
4
16
0
0
0
0
0
0
0
0
8
0
0
0
0
0
2
0
2
2
2
0
0
0
8
4
7
7
7
7
7
4
4
4
16
8
8
0
0
32
0
0
8
0
4
4
4
9
0
0
0
16
0
0
4
8
8
8
8
8
0
16
2
8
16
49
16
16
16
16
16
16
16
0
0
24
24
24
1
1
0
8
8
8
24
8
0
0
0
8
0
0
0
20
0
8
8
6
6
6
6
2
4
4
16
16
0
0
0
0
16
8
8
8
16
2
11
11
8
1
8
8
16
0
0
0
0
0
0
0
0
0
0
0
0
16
22
20
1
8
2
27
27
1
1
1
1
1
1
8
0
0
0
0
1
1
4
0
8
6
0
0
16
16
8
8
8
8
16
16
0
0
1
5
8
0
8
8
2
17
17
2
2
0
0
0
0
16
1
16
2
16
1
0
0
0
0
0
1
16
18
18
18
18
8
8
8
8
1
1
1
8
4
8
18
16
8
8
8
8
8
0
0
4
0
4
1
1
1
1
1
1
16
16
16
0
8
8
8
1
1
8
8
8
8
20
20
0
0
16
16
8
8
2
16
18
18
18
18
18
18
0
0
0
4
4
8
2
8
24
8
8
32
32
0
2
2
0
0
0
8
8
8
4
4
4
4
16
16
16
16
16
16
21
21
0
4
4
9
16
16
16
16
16
1
16
16
8
8
10
2
2
0
0
0
32
4
4
0
9
9
16
16
0
1
1
0
0
0
0
0
0
0
0
16
16
16
16
0
16
2
0
0
8
8
8
8
8
8
8
0
0
0
0
0
48
48
0
8
24
0
8
0
1
8
0
0
1
0
8
8
0
16
16
8
0
0
0
0
2
2
2
0
5
0
0
8
8
0
2
2
2
30
30
24
8
8
8
8
16
0
0
0
0
0
18
18
18
18
16
4
8
16
0
0
1
1
2
16
8
0
0
17
1
0
0
0
10
8
2
8
8
0
0
1
1
8
8
8
8
0
8
8
1
16
0
0
8
32
32
32
0
8
8
0
0
0
8
4
4
4
8
8
8
25
2
2
4
8
2
20
8
8
4
0
16
16
12
8
8
18
8
8
8
0
0
0
0
16
16
0
0
0
1
0
0
16
16
0
0
24
0
0
1
16
16
2
0
2
16
16
16
9
9
9
41
41
41
16
1
9
1
1
0
0
0
0
0
0
0
0
0
8
10
0
0
0
0
0
0
8
2
2
2
2
2
2
2
16
0
4
4
4
4
4
0
0
0
0
16
8
8
8
24
24
8
8
8
8
8
8
8
8
0
0
0
0
0
0
16
8
8
8
2
16
8
8
32
8
8
8
1
1
16
24
8
8
8
8
0
8
8
0
0
0
16
16
8
34
34
34
4
8
8
8
8
8
0
0
0
0
8
0
4
4
8
16
8
40
40
8
0
0
0
57
8
8
8
8
12
16
16
24
16
8
8
8
0
0
0
8
8
0
4
8
8
8
8
8
18
18
16
8
1
0
0
8
16
1
16
16
16
1
8
8
16
0
0
0
48
16
16
16
16
16
16
8
8
8
4
4
4
8
4
4
4
4
4
24
2
2
2
2
8
0
4
16
24
1
1
1
1
1
1
8
1
0
16
16
16
8
4
4
8
8
8
4
8
0
0
0
0
0
16
16
1
1
1
1
1
17
2
2
2
8
8
0
0
1
9
1
18
8
24
24
8
1
1
8
8
8
8
0
0
8
4
8
0
0
0
16
16
8
16
0
0
0
0
0
0
0
8
8
8
4
0
24
8
2
16
0
16
1
17
17
1
0
4
4
24
8
33
33
33
4
4
0
0
8
8
8
0
0
0
0
4
8
4
16
0
8
2
0
0
0
4
4
24
0
8
8
8
2
8
8
8
8
8
16
16
0
0
16
0
0
0
0
0
32
32
0
8
8
20
0
0
0
0
0
0
0
16
41
2
2
1
9
9
16
0
0
8
26
0
16
16
16
0
0
0
0
4
4
32
8
8
8
0
0
0
2
2
0
0
0
1
1
1
1
20
0
0
0
0
0
1
16
8
8
16
16
8
8
8
8
0
0
0
1
8
40
0
8
8
8
8
8
8
8
9
16
2
2
8
24
24
16
8
0
16
16
16
0
12
8
8
0
1
1
1
24
0
8
8
16
8
16
16
8
8
24
24
8
8
8
8
8
8
8
8
8
8
8
8
0
0
8
0
4
8
8
8
0
0
0
0
0
8
1
1
1
16
16
16
8
8
0
0
45
26
26
8
16
24
8
0
8
8
0
0
0
16
16
0
8
8
4
4
4
0
0
0
0
8
1
1
1
1
6
0
0
0
8
0
8
24
0
18
8
12
8
4
8
8
8
8
8
8
8
2
2
2
2
0
0
0
0
1
1
8
8
8
8
8
4
0
8
8
8
0
1
1
1
1
8
8
0
2
2
0
0
16
16
16
0
0
0
0
0
0
0
0
0
0
0
8
16
16
16
16
0
0
0
4
16
0
0
1
0
8
16
16
1
2
2
16
16
16
16
0
0
0
0
0
0
0
16
16
16
8
2
8
9
9
16
16
12
12
8
8
8
8
8
0
0
0
0
16
16
8
8
8
16
8
12
0
0
4
4
16
8
8
0
20
20
20
12
8
8
8
8
8
8
8
8
8
0
0
16
16
16
16
16
16
16
20
0
8
24
24
24
24
8
0
8
4
4
4
0
0
0
0
0
0
8
0
18
0
2
8
24
9
32
2
8
8
0
0
0
16
16
0
16
16
16
0
24
16
0
17
17
8
8
0
0
0
0
16
0
4
5
1
1
3
3
2
8
8
28
16
16
16
16
16
18
1
36
8
8
16
1
1
0
0
0
0
0
8
8
0
2
16
16
8
16
16
16
16
16
0
17
4
16
16
16
16
16
16
4
16
4
0
0
0
5
5
5
5
5
1
8
0
8
0
0
1
1
1
1
0
0
0
16
16
0
8
8
8
1
1
1
16
17
17
17
17
17
17
17
17
17
16
2
4
12
4
8
8
8
8
4
28
8
8
8
4
4
0
16
0
0
9
8
8
8
4
4
4
4
8
4
4
4
13
13
13
18
2
2
2
8
0
0
8
2
8
16
16
16
16
16
4
0
8
8
8
0
8
8
8
0
0
0
0
0
0
1
8
16
28
0
24
24
24
8
8
8
0
0
0
0
32
32
32
16
16
16
4
4
8
8
8
8
0
8
8
8
16
16
0
0
0
4
16
16
16
21
8
17
0
0
8
28
28
12
8
16
8
8
2
8
8
8
8
0
1
1
4
4
0
1
16
20
0
0
0
8
8
8
0
0
0
0
4
8
8
2
16
16
16
16
16
16
8
1
1
1
16
16
16
24
0
8
8
36
36
36
4
8
16
0
0
40
0
0
0
0
2
2
8
0
18
18
0
16
16
16
1
5
24
24
24
12
12
0
0
0
24
16
16
0
16
16
8
8
27
16
16
16
0
1
0
4
0
16
1
8
8
0
8
25
8
8
16
16
8
8
0
8
8
8
12
4
0
8
0
24
24
24
0
0
0
4
24
8
8
16
0
8
8
4
4
4
16
16
16
48
48
0
0
0
2
16
16
16
16
16
16
16
0
0
0
0
8
8
16
8
32
16
16
16
17
8
8
16
32
32
0
9
8
0
0
0
0
0
16
0
0
0
24
8
0
4
4
4
4
2
8
8
0
8
8
8
16
0
17
2
0
16
16
16
16
24
0
8
4
4
4
4
4
36
36
36
0
16
0
0
0
0
0
0
20
24
24
16
4
12
2
2
2
2
9
9
12
24
16
12
8
0
0
2
0
0
0
2
2
2
8
8
8
4
4
4
4
1
8
8
2
2
18
1
0
0
2
2
2
16
8
8
8
2
16
0
1
1
16
8
8
12
0
0
1
1
1
16
16
0
8
40
16
20
8
8
8
8
3
8
0
0
32
16
16
16
8
8
8
0
8
0
0
0
0
3
3
20
20
20
20
16
16
16
16
8
8
16
2
0
56
0
8
8
8
8
8
16
16
8
0
0
8
0
8
8
8
8
8
8
8
8
8
1
1
1
0
0
0
0
16
16
16
16
16
16
16
16
16
16
18
0
8
16
16
16
16
16
16
16
0
32
32
16
0
0
0
1
4
4
4
16
16
16
16
16
8
0
8
8
0
0
8
8
4
4
8
8
8
8
0
16
16
16
16
16
4
16
16
0
2
4
1
1
8
8
8
0
0
0
0
24
24
24
16
16
0
0
8
8
8
8
8
8
8
8
2
2
8
4
4
4
16
4
4
4
4
8
8
8
0
16
16
16
16
0
16
0
28
16
4
8
0
0
0
16
2
56
0
0
16
8
16
4
0
0
0
0
0
0
0
0
11
8
16
1
24
2
0
0
24
2
0
8
8
0
0
8
8
8
8
16
0
0
0
0
8
2
2
0
2
2
2
2
2
2
8
16
16
0
0
8
4
0
0
0
0
40
32
0
0
0
0
0
0
8
8
0
0
0
8
8
8
24
16
0
0
0
0
8
8
0
0
0
4
0
0
0
4
4
4
8
16
0
0
8
0
0
0
16
8
8
8
16
0
0
8
2
2
8
8
2
0
0
0
0
8
8
8
8
8
0
0
0
0
0
16
16
16
0
16
16
9
9
1
1
16
16
16
3
3
3
4
4
0
16
16
16
16
16
16
0
0
16
0
0
8
4
1
1
8
8
8
8
4
4
4
4
4
0
0
32
8
0
16
0
0
0
8
32
8
1
1
16
16
8
8
0
0
0
1
32
4
32
32
2
2
2
2
16
0
0
8
8
8
16
8
16
16
16
16
16
35
0
0
8
16
16
0
8
17
17
17
0
16
55
55
0
8
1
1
2
2
2
4
0
0
8
24
8
4
4
4
4
4
8
0
0
0
0
0
0
0
0
0
8
8
8
8
1
8
32
0
0
8
8
8
0
0
16
16
16
0
8
0
3
16
16
16
16
0
0
0
0
0
0
10
10
8
8
8
8
8
8
8
8
0
20
2
2
0
0
8
0
16
8
35
8
8
17
17
16
0
0
0
8
4
4
0
4
4
2
2
2
0
24
18
18
2
0
4
0
0
1
1
16
16
16
0
0
8
8
0
8
57
57
16
8
4
4
0
8
8
16
1
1
1
2
2
2
16
16
16
16
16
16
8
8
1
0
0
0
0
0
4
4
2
4
8
0
0
16
4
4
4
24
8
8
8
59
59
1
18
18
18
18
1
1
0
2
2
2
2
2
2
2
2
6
8
16
8
8
0
0
0
0
0
0
8
8
8
8
8
1
0
1
8
16
16
16
16
25
8
1
1
0
0
0
0
0
0
0
0
8
4
8
8
0
0
0
16
8
12
2
8
20
20
20
16
16
16
8
0
2
0
8
0
16
16
4
4
9
9
9
9
0
16
16
0
8
8
8
8
28
28
4
24
0
2
8
8
16
6
8
8
8
0
0
0
8
0
17
1
16
8
8
0
0
8
0
0
16
18
16
2
2
2
2
2
2
2
0
0
0
0
8
0
27
0
0
4
4
4
4
0
0
0
0
0
0
8
40
20
16
13
13
13
0
0
14
8
12
12
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
10
10
10
8
8
8
8
8
8
0
8
8
1
4
4
0
24
2
0
0
16
16
2
16
16
16
16
16
16
16
0
0
0
0
8
8
8
8
8
8
16
0
0
0
0
8
8
8
8
16
18
16
8
8
8
8
1
1
2
2
8
8
8
1
0
16
16
16
0
2
13
13
13
4
1
1
1
8
8
1
1
1
8
8
8
9
9
9
8
8
8
1
1
1
1
1
8
8
8
8
8
8
8
4
4
16
0
2
16
0
0
16
0
0
8
16
0
0
16
16
8
8
8
8
1
24
8
8
8
8
4
8
16
0
0
0
16
32
0
0
8
8
0
17
10
8
16
16
16
8
0
0
0
8
0
8
8
8
8
33
32
1
16
0
0
0
0
0
0
16
24
16
0
0
8
8
8
0
56
8
27
0
8
8
8
8
8
8
8
8
8
8
3
2
2
4
4
8
4
4
4
4
4
4
0
0
1
1
12
12
12
0
0
0
8
24
8
1
1
8
8
8
8
1
8
16
0
16
16
16
16
16
16
16
20
20
20
0
0
0
0
0
4
4
4
4
0
14
14
0
0
24
24
25
0
4
4
4
4
1
0
0
0
0
0
0
0
0
17
17
1
8
0
0
18
18
18
18
32
32
32
4
4
20
16
1
49
16
16
0
8
6
8
8
8
0
1
1
8
8
8
8
0
0
0
0
21
4
4
4
4
0
2
33
16
16
4
4
4
24
24
24
4
8
4
8
8
0
16
0
8
13
13
13
13
13
13
4
4
8
8
0
16
2
2
2
0
0
8
24
1
1
16
51
2
20
20
0
0
8
8
0
0
0
0
0
16
16
16
0
0
16
11
8
8
8
8
1
1
1
8
0
8
8
8
8
8
8
0
16
0
8
8
0
0
8
8
0
24
24
0
0
1
8
0
0
8
24
0
16
16
1
1
16
16
8
2
2
16
0
0
0
0
0
8
0
0
8
9
17
16
16
8
20
4
1
1
0
0
24
0
8
8
8
8
1
1
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
2
2
32
0
2
2
0
22
2
2
20
20
0
32
32
32
32
32
0
8
16
16
0
1
1
4
0
16
24
16
4
8
2
2
6
6
2
4
1
0
0
0
43
43
16
16
16
16
16
0
0
0
16
32
0
0
0
0
0
24
16
16
20
20
8
0
0
16
16
8
8
8
8
9
4
4
2
1
1
16
16
16
16
2
2
0
0
0
0
0
8
0
0
0
0
0
0
8
8
8
48
48
48
8
8
0
24
17
4
4
8
8
8
8
16
16
0
0
8
8
16
16
16
16
16
8
4
0
0
3
3
0
0
0
0
0
0
0
16
16
16
16
0
0
16
16
16
16
16
16
16
1
1
1
1
1
0
0
0
8
8
8
8
0
8
8
8
8
8
0
8
0
0
0
8
8
0
20
20
20
0
16
18
20
8
8
1
1
16
16
16
16
8
16
16
0
8
16
0
4
0
2
0
0
0
8
0
0
16
16
1
1
2
0
8
0
0
8
8
8
8
0
4
16
16
0
16
32
32
32
12
0
2
2
2
2
2
5
1
24
8
8
8
0
8
8
24
0
0
0
8
0
8
8
8
9
0
32
32
32
32
0
24
4
8
8
8
16
0
0
8
8
8
0
57
2
2
1
8
8
0
8
16
16
16
16
24
8
8
4
0
17
17
17
16
16
16
8
8
1
1
1
8
2
21
21
21
21
0
16
16
16
0
0
0
8
26
8
8
8
8
8
8
8
8
8
0
0
8
8
0
0
0
0
0
8
16
16
8
8
4
16
16
16
16
2
8
8
8
8
20
20
1
0
0
48
0
0
8
16
16
16
16
0
0
0
0
0
2
8
8
24
24
16
16
16
8
8
0
0
0
8
2
8
8
9
0
16
2
2
2
2
8
24
8
4
0
0
0
2
0
24
1
1
20
24
16
0
20
33
33
2
16
8
0
0
0
4
0
0
0
0
0
8
2
2
8
8
16
8
8
8
8
4
0
16
16
24
16
1
1
0
8
8
8
8
0
4
8
8
16
17
1
16
16
16
8
8
8
8
8
8
16
8
8
0
12
12
12
12
20
20
8
20
16
16
16
24
4
0
0
0
0
0
8
24
8
8
1
1
49
49
8
8
8
0
0
0
0
8
0
0
0
8
8
0
0
0
0
0
0
0
0
0
4
4
8
0
0
12
12
16
16
16
16
16
8
0
0
16
16
16
0
0
40
8
8
8
8
8
16
16
16
8
44
16
0
0
0
0
24
24
24
8
16
16
16
16
1
1
4
4
4
4
0
0
8
8
8
0
0
1
1
1
1
1
0
16
1
1
8
8
0
0
8
8
8
0
0
0
0
0
0
8
8
4
4
4
0
4
4
4
16
0
0
0
0
8
8
8
8
8
8
8
8
0
8
8
0
0
0
42
42
42
0
1
1
8
8
8
0
0
8
0
9
9
9
9
24
8
0
8
16
16
16
16
16
16
16
16
8
0
16
16
0
0
8
8
16
16
16
16
16
16
16
16
16
8
0
0
16
8
1
8
8
16
16
16
20
20
20
20
0
16
8
8
8
12
12
8
8
8
8
4
8
0
0
0
0
0
17
17
17
16
22
0
0
0
0
0
0
8
0
1
1
16
0
0
32
0
0
8
8
8
0
8
8
8
8
16
16
16
16
16
16
16
16
0
16
16
16
16
16
16
16
16
2
2
6
16
16
16
16
32
48
24
0
24
24
24
4
4
4
4
4
4
4
0
8
8
0
8
8
4
20
8
20
20
8
8
0
0
0
0
0
8
0
0
0
0
32
32
32
2
2
2
2
0
0
0
0
0
0
8
0
0
0
2
16
0
16
16
16
0
0
0
4
2
2
2
2
20
16
8
8
16
8
16
16
16
4
2
8
8
16
53
4
4
4
4
16
16
16
0
8
8
8
8
8
0
16
16
0
8
0
9
9
1
8
9
8
8
8
8
8
2
8
6
0
0
0
16
16
16
16
16
4
4
0
8
32
0
17
1
1
16
16
16
16
8
8
25
0
0
0
0
0
4
8
41
0
30
0
1
1
1
24
24
0
0
0
1
1
4
8
0
0
32
0
16
16
16
17
8
20
20
8
16
8
8
16
16
16
16
8
8
8
8
2
8
16
16
0
0
0
0
16
16
16
16
8
20
2
8
8
0
0
4
4
0
0
0
0
0
0
0
16
16
8
28
0
0
0
0
0
0
0
1
0
0
0
0
0
0
8
16
17
16
8
8
4
4
4
0
0
16
0
0
0
0
16
16
0
0
0
0
0
0
8
8
8
0
32
32
34
8
8
8
8
8
16
16
2
2
16
16
16
16
8
8
8
8
8
0
0
8
0
4
16
8
0
16
16
16
16
8
1
1
1
24
24
8
0
16
16
16
8
1
1
1
8
8
1
0
0
0
0
8
0
2
8
0
0
16
16
4
4
4
4
4
8
8
8
4
4
1
1
1
0
0
0
1
1
8
32
0
8
8
0
0
0
0
0
0
8
8
8
8
8
32
4
0
8
8
8
8
8
2
6
2
2
2
16
8
8
8
0
8
8
8
8
8
16
16
8
0
4
0
8
8
0
0
4
16
16
24
16
16
16
16
32
16
24
16
16
16
0
2
32
17
17
24
0
8
8
8
4
1
1
1
1
1
1
1
1
1
16
16
2
8
8
1
1
16
16
2
2
2
0
0
2
2
0
32
32
1
1
1
8
8
8
8
0
0
0
16
8
8
8
8
8
9
0
8
8
24
0
1
1
4
32
4
0
8
8
8
0
0
0
18
18
18
24
8
1
16
16
16
8
8
20
0
0
0
4
1
2
2
0
16
16
16
16
25
8
8
8
16
16
16
8
0
16
16
16
10
0
0
8
8
8
0
6
6
16
1
1
1
1
17
8
8
1
1
16
16
1
1
12
8
8
16
0
0
0
0
8
0
8
0
8
16
4
4
4
0
0
8
8
8
8
8
8
8
0
8
8
8
8
8
8
0
0
0
8
8
1
2
1
1
1
1
8
0
0
0
0
0
0
6
0
8
8
8
0
0
8
8
32
32
32
16
8
8
8
8
1
0
8
52
8
8
0
0
0
0
32
4
32
8
28
4
12
32
0
16
16
4
4
4
8
2
2
2
2
0
0
0
8
28
0
0
0
0
0
0
0
16
9
9
9
8
8
8
0
0
0
0
0
8
8
8
8
8
8
0
8
8
0
0
8
8
0
16
0
0
8
4
16
0
4
4
4
4
0
18
8
8
8
8
0
0
8
8
16
0
8
8
8
18
0
16
0
16
16
8
8
0
25
25
2
2
8
0
4
4
0
8
8
8
8
8
8
0
4
4
0
8
8
0
8
16
16
16
16
16
16
16
16
16
0
4
16
16
16
16
0
16
0
0
2
2
8
8
8
16
0
16
16
0
4
4
4
0
16
0
0
0
8
8
8
0
0
0
9
24
24
16
16
0
0
0
0
0
1
1
1
1
0
0
16
8
8
8
8
24
24
16
16
0
0
1
1
4
4
1
8
8
16
8
8
0
8
8
8
16
16
16
16
0
0
0
0
0
4
8
0
0
0
0
12
16
8
4
4
4
8
8
16
16
16
16
16
16
16
16
0
0
0
0
8
8
8
8
0
16
16
32
16
8
17
1
1
0
2
2
2
16
2
2
2
2
8
0
0
8
8
8
16
16
32
0
0
16
4
18
18
2
2
4
4
5
2
2
2
0
4
4
4
0
0
0
1
0
16
16
16
16
16
16
4
8
8
2
0
8
0
4
4
16
16
16
0
8
16
8
0
0
8
16
16
2
2
2
2
16
0
0
8
8
0
0
16
8
0
0
0
0
0
0
16
16
8
8
1
16
16
16
0
2
8
0
8
0
24
8
16
16
16
16
0
0
0
0
0
2
8
1
8
16
16
8
16
16
16
16
16
16
0
0
4
0
0
16
16
0
0
0
16
8
16
14
14
16
16
2
0
1
32
0
8
0
0
0
0
0
0
0
0
2
8
8
2
2
8
0
0
32
8
0
9
4
24
0
22
22
22
22
22
22
22
8
0
17
16
1
2
2
2
0
8
8
0
16
16
0
0
8
32
32
4
4
4
4
8
8
0
0
0
0
24
24
24
0
0
0
0
0
0
0
4
1
1
1
4
4
12
8
8
4
8
8
8
0
0
0
0
0
8
8
8
0
32
32
32
2
8
8
2
4
4
16
16
4
0
34
34
34
1
0
8
24
0
0
16
16
16
16
1
1
0
4
4
4
4
4
0
4
0
16
16
48
16
18
0
0
0
0
0
0
0
0
0
32
32
32
8
0
8
8
8
8
8
2
0
8
8
8
0
0
1
1
1
16
16
16
16
16
16
0
8
16
16
16
16
16
16
16
16
16
16
16
8
8
1
1
8
0
0
1
8
0
0
2
8
8
1
8
8
8
8
0
4
17
17
8
8
8
8
0
8
16
16
0
2
2
2
2
0
8
8
8
16
18
0
24
49
49
16
0
0
0
0
16
16
16
2
4
8
0
16
0
0
0
0
0
0
8
0
16
12
4
4
4
8
12
9
9
8
2
9
24
8
8
0
0
0
16
16
16
16
16
8
16
16
0
0
0
0
0
0
2
2
0
5
5
1
1
1
1
1
1
8
8
1
1
0
0
0
0
16
4
2
0
0
0
0
8
8
8
8
0
8
8
8
16
0
4
4
0
0
16
16
1
1
1
1
0
8
8
8
16
2
16
0
24
16
0
0
24
1
1
0
8
8
8
28
16
8
8
8
0
0
0
0
1
8
8
32
16
16
16
16
16
16
0
0
0
0
8
8
8
0
4
4
4
36
2
2
2
1
1
2
2
17
16
16
8
34
8
8
8
8
16
16
12
8
8
8
49
0
0
0
24
0
0
0
0
16
4
0
1
16
8
2
2
8
8
8
0
8
8
4
8
16
2
0
52
12
1
16
1
1
8
8
8
16
16
16
2
2
2
32
32
18
16
16
0
4
4
4
4
0
0
16
0
27
8
8
4
0
5
8
8
16
16
31
31
31
0
8
4
0
0
8
8
8
12
8
8
3
25
25
0
8
8
8
8
8
0
8
16
16
16
8
8
0
8
8
0
0
8
8
16
16
0
0
0
8
16
1
4
4
8
16
16
16
0
8
8
8
8
8
8
8
0
1
8
0
16
20
20
0
0
8
8
8
8
0
0
0
0
8
8
8
8
4
8
0
0
0
2
2
2
2
28
4
4
8
8
16
0
0
0
42
8
0
8
4
8
0
0
60
8
8
10
8
16
0
4
4
4
4
8
8
8
8
8
8
16
16
0
0
0
0
2
2
2
8
4
4
8
8
24
8
8
8
0
16
16
8
6
2
8
0
10
2
8
10
16
16
4
4
4
0
0
16
16
8
8
8
8
16
3
1
1
1
0
0
0
16
16
0
0
8
0
0
0
0
8
0
4
16
8
1
1
1
1
1
4
0
32
0
0
0
0
0
0
16
0
0
0
0
16
8
8
8
4
12
0
16
16
16
8
8
0
4
4
0
0
0
18
16
8
8
0
4
4
32
32
32
32
32
16
16
0
32
6
16
16
2
0
0
0
0
5
8
4
16
16
16
16
2
0
0
0
0
0
16
16
16
8
2
2
2
2
1
1
1
1
1
16
8
16
0
0
0
0
0
0
8
16
0
8
2
2
2
2
52
16
8
0
0
16
0
60
60
60
16
0
0
0
0
16
24
16
16
6
6
0
0
8
8
2
24
0
8
0
0
0
1
0
8
8
8
0
0
8
8
0
0
0
4
36
6
6
6
6
8
8
8
8
8
8
0
12
12
12
4
4
16
4
4
4
4
4
4
16
0
0
0
29
0
8
8
12
8
8
0
16
0
0
0
8
8
8
1
1
1
1
1
8
8
16
0
0
8
4
40
40
0
0
0
0
16
16
0
0
0
8
8
8
8
8
1
1
8
8
0
0
8
48
32
1
16
0
16
16
8
8
40
32
40
32
4
24
0
0
0
0
0
0
0
0
16
16
16
0
0
0
0
0
0
16
0
1
1
4
4
0
8
8
8
8
8
8
12
8
8
0
0
4
4
4
4
4
4
4
0
0
4
4
4
4
4
4
4
4
2
0
8
0
0
16
1
1
1
8
8
0
8
8
8
9
20
20
20
20
24
24
8
8
8
2
0
2
8
8
8
0
0
0
16
17
8
8
8
8
8
0
0
0
0
16
16
0
16
0
0
8
8
8
8
8
16
16
2
10
16
0
0
0
25
24
0
0
0
1
1
8
8
8
0
0
16
24
16
8
4
13
13
13
6
22
6
6
8
8
0
0
0
0
0
0
0
0
0
0
0
0
8
8
2
0
0
2
2
16
4
4
4
4
8
8
1
0
0
16
16
1
8
16
16
0
0
8
8
0
0
0
8
16
16
16
8
8
8
8
8
8
0
0
8
24
16
8
8
8
8
0
16
0
16
0
0
0
8
24
0
0
0
0
0
0
0
0
8
8
1
1
8
8
4
4
8
8
8
0
8
0
16
16
1
4
4
2
0
0
0
0
0
32
8
8
8
8
16
4
0
24
0
0
0
0
16
0
0
0
8
24
24
0
2
1
1
1
0
16
16
16
8
8
0
0
0
0
12
8
4
4
4
4
4
4
8
16
16
0
0
8
8
8
0
32
32
24
8
8
8
16
4
8
2
0
0
4
0
1
16
0
24
16
8
32
32
32
32
0
0
2
0
8
4
4
8
8
8
8
8
1
1
4
4
4
4
0
0
0
0
0
0
0
0
0
0
16
16
16
1
1
1
1
8
8
0
0
0
4
4
8
8
8
8
8
2
2
32
2
32
0
0
0
8
32
32
32
32
16
16
0
0
0
0
2
2
8
8
8
16
34
34
34
34
4
18
18
8
8
8
8
8
8
1
8
8
8
8
8
16
24
0
50
50
1
0
0
0
0
0
0
16
16
16
16
8
8
8
8
0
0
0
0
1
1
1
4
8
0
16
16
16
16
0
8
8
8
8
0
0
8
16
16
16
0
0
8
33
33
4
11
11
8
16
0
20
22
22
22
20
2
22
16
16
32
32
3
33
16
16
1
8
8
8
8
1
16
16
16
16
16
8
0
8
1
4
16
16
16
8
8
8
35
16
20
20
20
8
8
8
4
4
4
0
0
0
0
1
8
0
8
0
2
0
0
0
1
8
8
8
8
8
2
2
0
0
0
24
0
8
0
32
0
16
16
16
0
4
8
0
0
0
0
16
16
16
16
0
0
0
0
0
0
0
16
0
0
0
8
4
1
0
17
1
1
1
1
0
8
8
4
4
8
0
8
8
8
8
0
28
8
2
26
26
16
16
16
16
0
0
0
0
4
24
24
16
16
8
0
0
0
8
9
1
1
1
0
8
16
12
0
1
16
16
9
8
8
8
8
0
0
4
0
9
41
8
8
4
4
4
0
18
16
8
0
0
1
0
20
16
16
8
8
8
16
4
49
16
4
4
4
0
0
0
3
3
3
4
20
16
8
16
16
16
16
16
16
16
16
0
12
2
24
24
8
8
8
0
0
16
16
16
4
4
4
4
4
0
0
8
8
8
2
2
2
32
32
8
8
4
8
8
8
8
0
8
8
8
8
8
8
8
4
0
1
2
2
24
24
8
18
18
8
0
8
8
8
8
8
24
8
16
12
28
8
4
8
8
2
2
28
16
16
0
0
2
0
52
12
8
8
20
1
16
16
16
16
32
16
16
16
16
16
0
1
8
8
8
13
9
9
9
9
9
9
12
16
0
16
16
16
28
28
28
28
2
2
32
2
2
16
32
0
0
0
16
4
8
8
8
8
8
8
33
2
2
2
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
57
57
0
8
0
0
8
0
0
1
1
0
0
0
0
0
8
16
4
4
4
4
4
4
4
0
18
18
18
16
1
16
1
3
16
48
2
2
0
16
8
9
9
24
1
1
1
4
32
16
16
4
8
8
8
8
48
48
48
48
48
48
48
0
8
0
0
16
8
8
8
0
0
16
16
8
8
8
1
32
32
8
8
10
16
16
16
16
16
16
16
0
0
0
17
0
0
1
8
16
16
16
2
16
16
24
8
8
8
8
16
8
32
16
0
8
16
8
0
1
0
16
16
2
16
0
4
4
0
32
32
0
16
16
24
24
1
0
8
1
1
8
8
2
8
16
24
16
8
0
8
12
36
10
1
16
16
16
16
16
16
16
16
0
0
8
8
8
8
8
2
1
1
1
0
8
8
8
16
16
0
16
0
0
8
0
8
8
8
8
8
16
0
0
2
32
0
0
0
1
4
4
4
4
4
21
17
8
0
8
16
16
16
8
8
4
6
2
1
8
0
0
10
2
2
2
8
8
40
40
32
32
4
4
16
0
0
0
0
4
8
8
8
8
8
8
8
8
10
8
8
8
8
8
8
8
16
16
16
16
8
8
1
1
1
1
8
8
0
8
4
4
4
4
4
0
0
0
0
0
0
0
0
16
17
0
17
8
0
1
9
0
0
32
8
0
0
8
1
8
8
8
8
0
8
0
0
24
24
16
8
8
0
0
0
0
2
2
2
0
32
32
8
32
0
4
8
1
0
8
8
1
2
3
1
1
8
0
0
1
1
8
2
2
0
0
16
8
8
8
8
16
57
1
1
1
2
32
32
0
0
4
8
8
0
0
0
4
0
0
0
16
8
0
8
40
40
2
24
16
16
16
1
1
0
0
0
0
0
0
0
0
4
20
0
0
0
2
2
2
2
2
16
16
16
16
8
8
8
8
0
16
16
8
0
0
0
0
24
12
1
1
0
0
16
16
0
0
16
1
1
16
16
12
8
8
8
2
24
24
0
0
0
0
8
4
4
16
16
16
16
16
8
0
0
8
8
8
8
16
24
4
12
16
17
0
0
0
1
8
8
8
2
4
4
4
4
8
8
8
16
16
16
4
4
4
4
4
0
0
0
8
8
16
17
17
17
4
4
4
16
16
16
16
8
8
1
5
37
18
8
8
40
8
40
4
4
56
24
16
8
0
0
1
4
8
8
8
16
2
2
0
2
6
4
4
9
9
9
9
9
9
9
0
0
8
16
16
16
16
16
16
16
0
0
0
16
16
2
2
2
0
0
16
16
16
16
20
8
8
0
0
0
0
0
8
8
4
4
45
2
16
2
3
1
0
0
2
2
2
2
2
2
8
8
8
8
8
8
8
12
4
0
0
0
2
8
8
8
8
0
0
0
0
0
2
16
16
16
16
8
0
8
8
8
8
8
8
32
32
32
5
5
1
17
8
9
0
0
0
32
32
16
0
2
0
8
16
8
8
8
16
4
0
8
16
0
16
8
24
8
8
0
4
4
0
0
1
2
2
0
8
8
8
8
0
0
8
8
8
11
0
0
8
8
2
4
48
48
16
17
2
2
26
0
0
2
2
8
9
4
4
1
1
0
28
28
16
0
8
8
8
8
0
0
0
8
16
16
0
4
4
4
2
0
0
0
8
20
8
2
4
1
0
2
2
1
1
9
9
0
2
8
8
8
8
8
0
0
0
1
1
8
8
8
0
8
8
1
8
4
4
16
16
16
0
0
0
8
8
1
1
1
1
1
8
0
2
0
8
8
8
8
8
3
3
32
20
16
2
10
16
0
0
6
0
16
1
1
1
2
2
24
24
8
16
24
16
16
16
8
0
0
16
0
8
8
8
8
2
2
8
4
4
4
0
0
0
0
8
1
1
0
0
1
2
16
16
16
8
0
8
8
8
8
8
0
0
24
7
7
32
32
32
16
0
4
4
16
16
16
16
16
24
8
2
8
8
6
6
6
4
8
8
8
8
16
3
3
8
4
16
0
0
0
0
0
18
18
2
2
3
3
0
0
0
0
0
0
0
8
0
0
21
8
8
24
8
8
8
0
0
16
16
16
16
16
16
16
8
8
8
8
0
0
16
16
16
0
0
8
8
16
16
9
1
1
1
1
8
16
28
16
16
16
8
0
0
0
4
4
4
0
0
0
0
0
16
24
24
8
8
8
8
8
0
18
0
0
0
0
0
0
0
0
0
0
0
8
4
4
4
0
4
4
34
8
8
8
0
0
0
16
8
1
8
8
8
0
0
16
16
18
18
4
4
4
4
8
17
0
16
16
16
16
4
17
17
0
0
1
1
16
16
8
1
1
0
0
0
0
0
0
0
16
16
16
16
10
0
48
0
16
16
16
32
8
8
44
44
0
0
0
16
0
8
24
8
8
8
22
22
22
0
0
0
0
0
0
0
8
8
2
2
0
0
16
1
0
0
0
16
0
24
17
4
0
16
16
0
2
8
8
16
8
1
0
0
4
6
1
1
8
16
4
16
16
0
20
4
16
16
16
16
16
16
16
0
16
2
2
16
16
16
9
8
43
43
43
43
43
43
8
0
8
9
1
1
32
8
33
1
1
1
1
0
0
0
0
16
16
16
16
8
4
0
16
8
0
0
0
0
0
0
0
16
0
0
0
8
8
2
2
33
1
32
4
6
0
36
0
0
0
8
16
16
1
1
1
0
0
0
10
10
0
16
8
1
8
16
0
0
0
4
4
24
1
1
1
8
8
8
0
8
8
8
16
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
2
16
16
8
8
0
2
0
0
0
8
8
30
30
30
30
30
16
8
0
0
8
8
8
8
8
8
8
8
0
8
16
16
16
0
0
0
0
0
12
0
16
0
0
16
16
20
0
8
36
0
0
0
0
4
16
16
16
16
16
16
8
8
4
1
1
8
24
24
1
1
0
0
0
16
17
16
0
0
1
5
1
1
16
16
16
0
0
4
12
0
1
4
0
0
0
16
1
1
1
1
16
1
1
8
1
1
1
1
8
16
0
8
8
24
16
8
17
17
0
0
0
0
0
4
4
0
60
52
8
8
8
8
8
8
8
16
4
4
0
8
8
20
20
8
16
8
0
0
0
0
16
16
16
16
9
16
11
11
11
11
0
42
8
8
16
8
8
0
0
38
0
32
32
32
32
0
0
0
16
0
32
32
16
16
16
16
16
16
32
33
5
1
1
1
1
1
0
0
0
0
1
1
16
8
8
8
16
16
16
16
4
0
16
16
1
1
0
8
16
10
8
8
8
56
32
24
24
24
24
4
8
8
6
6
6
6
16
16
16
16
16
16
8
33
4
4
20
20
20
4
8
16
1
1
1
8
24
8
8
8
0
4
4
4
4
8
8
24
16
24
8
8
0
0
0
9
8
0
0
8
8
0
0
0
0
0
16
1
0
0
16
0
16
0
0
2
0
8
8
8
8
8
8
18
18
18
18
18
16
16
26
26
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
8
20
20
20
20
20
8
0
0
0
0
0
0
8
8
8
8
8
8
8
0
17
17
17
8
0
16
0
1
8
8
12
8
2
2
10
0
0
0
54
54
54
2
2
2
2
0
16
8
8
8
16
0
0
16
8
24
8
8
8
35
35
35
35
35
0
0
0
0
8
8
0
1
1
16
8
8
1
0
0
0
16
16
16
16
0
8
16
0
32
0
8
8
16
16
16
16
17
17
1
4
2
0
0
42
8
8
16
16
0
0
0
4
4
4
4
32
0
8
16
0
8
16
16
16
0
9
9
2
2
4
4
4
4
4
4
4
4
4
0
0
0
0
2
24
32
16
16
8
8
24
8
0
8
32
1
8
1
8
8
8
16
16
16
8
8
8
8
8
8
0
0
0
8
8
8
8
8
8
0
0
24
8
0
8
8
16
1
1
1
1
1
1
1
1
4
4
4
0
0
8
8
0
8
16
0
0
8
8
8
8
32
8
8
0
0
0
25
8
0
0
0
0
17
16
4
4
4
4
8
1
8
0
0
0
8
8
8
0
1
8
8
8
8
8
0
0
2
8
8
8
8
8
0
0
16
23
23
23
1
18
8
8
0
1
16
16
16
8
0
0
1
8
8
8
8
8
1
8
8
10
0
8
0
0
0
0
16
16
16
16
16
0
8
8
8
8
0
0
0
1
1
0
0
16
9
9
0
1
1
8
2
0
18
0
8
16
16
8
16
16
16
16
16
16
16
0
0
18
18
18
8
8
8
0
0
0
0
16
8
8
8
8
8
8
8
0
8
8
8
3
12
0
0
2
0
0
0
0
18
0
8
8
8
24
0
0
0
8
2
0
3
3
8
0
0
0
1
32
16
4
4
16
16
16
8
23
8
8
8
0
0
8
8
1
1
16
0
8
16
16
8
8
8
8
8
6
4
4
4
4
4
1
0
16
16
16
42
53
53
16
0
0
8
16
0
0
32
32
32
32
32
16
8
0
0
1
1
1
20
0
8
0
8
17
17
8
8
8
1
1
1
0
1
1
2
2
0
0
0
0
0
0
4
0
16
16
16
16
4
8
0
16
16
4
0
0
0
0
2
2
0
0
8
8
8
8
1
9
0
0
8
8
8
8
16
16
16
16
0
0
0
0
0
8
16
16
16
16
4
4
24
0
0
0
8
16
16
0
0
2
2
2
2
2
2
0
0
0
24
0
0
8
8
16
24
24
0
0
0
4
4
0
8
8
0
16
16
4
8
0
0
0
0
16
16
16
16
0
8
0
8
8
8
0
0
2
0
8
8
8
16
16
16
18
16
16
16
8
8
4
8
0
0
2
2
8
0
16
16
16
16
16
0
16
24
12
0
0
0
0
0
8
8
8
8
8
8
8
8
1
2
2
0
0
8
8
8
8
16
8
8
8
17
17
17
17
28
0
16
16
16
0
0
16
4
0
8
1
1
0
8
8
8
1
1
17
17
4
0
8
0
8
8
8
0
1
8
8
0
4
4
0
9
9
9
9
8
33
33
8
4
16
16
16
16
16
16
16
4
1
0
0
8
8
56
4
4
8
0
8
1
1
0
0
0
0
0
0
18
18
0
0
24
8
8
0
0
0
8
8
8
8
8
8
8
0
0
0
0
0
0
8
0
16
16
2
2
7
8
1
8
8
8
4
4
4
1
1
4
4
4
4
8
8
8
8
8
0
0
0
16
4
4
4
8
8
8
32
8
0
16
16
16
16
16
8
0
0
8
8
8
16
9
9
0
16
16
16
0
0
0
0
8
0
16
16
16
16
8
26
4
37
36
16
16
32
32
10
0
0
16
0
8
8
4
0
0
0
8
8
8
0
0
0
0
0
0
0
16
16
16
8
16
16
16
16
16
16
8
0
0
8
0
8
8
8
49
49
49
49
1
2
2
2
0
0
0
8
0
1
4
16
16
16
4
4
4
0
0
0
0
0
2
16
16
16
0
0
0
8
8
8
8
16
1
1
8
8
1
4
4
8
0
8
8
0
0
0
0
0
0
0
1
16
24
8
8
8
16
16
16
0
0
0
8
0
16
0
0
16
0
0
0
0
0
0
8
0
1
1
1
0
8
8
8
20
20
8
16
16
0
16
0
1
1
8
12
12
8
8
16
16
16
16
0
16
16
1
1
4
4
12
2
2
2
0
0
2
2
2
0
16
16
16
16
1
17
52
52
52
52
0
8
4
50
16
8
8
0
0
0
0
8
28
0
16
32
32
9
8
8
8
0
2
2
2
2
2
1
0
4
2
2
13
13
13
8
24
8
0
0
2
2
0
4
4
4
4
0
1
32
32
1
0
0
0
0
0
0
0
32
0
0
8
8
2
2
0
8
8
8
0
16
16
0
0
0
0
16
16
8
8
2
2
8
8
16
24
0
0
9
9
9
9
9
9
9
8
8
8
16
16
2
16
8
8
8
0
24
2
2
2
2
2
8
16
0
40
6
6
6
6
16
0
18
8
4
4
4
8
8
8
0
0
0
0
0
0
0
16
0
0
0
0
0
8
8
8
8
8
2
2
2
2
16
16
0
0
1
1
0
0
0
20
2
4
16
16
16
16
8
8
0
0
0
25
8
8
8
8
8
8
8
8
8
8
8
8
8
16
3
8
8
8
4
4
0
8
8
8
8
22
0
28
28
16
4
0
0
0
24
16
16
8
8
8
8
8
8
8
8
8
8
32
16
16
16
16
0
0
8
8
2
4
0
0
33
33
0
0
2
2
0
8
8
8
18
2
1
1
1
1
0
0
0
0
25
25
0
0
4
4
30
8
8
8
8
8
2
2
2
17
17
1
1
1
1
1
1
2
2
4
4
8
8
8
8
8
4
4
4
8
16
16
16
16
5
5
1
0
32
32
32
32
8
1
4
0
16
0
0
0
8
8
8
8
9
9
9
8
8
16
0
0
0
32
20
20
16
52
4
0
1
16
0
0
0
0
8
8
4
0
0
8
8
16
8
0
8
8
16
16
16
16
16
16
16
16
8
2
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
16
16
16
16
16
16
0
8
1
16
16
8
0
0
16
16
16
16
8
0
0
9
1
1
0
0
0
0
24
16
16
16
16
16
1
8
8
8
8
8
8
16
2
2
2
2
8
16
16
16
8
8
8
8
16
16
16
16
16
8
8
8
16
0
0
16
16
16
16
16
16
4
0
24
24
24
16
16
16
8
8
8
16
16
8
8
8
8
8
8
8
8
8
32
32
0
0
0
16
16
16
8
16
1
1
6
16
16
0
0
0
8
8
0
8
0
0
0
0
16
0
39
16
16
16
16
16
1
1
17
4
8
16
16
16
0
2
2
8
8
24
0
16
8
0
0
0
0
16
1
0
16
0
8
8
8
0
0
8
8
8
0
8
0
24
24
24
24
24
8
0
2
2
8
8
0
16
8
16
16
2
4
16
16
16
0
8
16
16
16
16
16
16
16
8
24
0
2
24
4
4
4
4
0
4
0
8
33
33
33
18
8
16
16
8
8
8
3
3
5
0
8
8
16
16
16
8
1
8
8
1
16
8
8
4
4
8
16
16
16
0
0
0
0
0
0
16
16
16
8
32
8
1
0
0
0
16
1
8
8
16
16
0
0
0
0
0
0
2
2
2
0
0
0
0
8
8
8
8
16
0
0
8
3
3
0
8
0
32
32
16
16
16
16
12
0
24
16
8
8
8
0
8
0
0
0
8
8
8
0
16
8
8
8
8
17
17
0
0
16
16
16
16
16
32
8
8
8
18
18
32
0
17
16
8
8
24
16
16
4
4
0
0
0
0
0
16
16
0
2
24
0
0
8
0
8
16
1
0
4
4
4
4
4
4
4
16
16
16
0
0
6
4
4
24
8
8
24
32
32
32
8
8
8
12
12
12
0
1
1
8
8
8
8
8
0
0
4
4
8
8
25
32
16
4
20
0
16
8
10
0
0
0
8
16
0
0
0
8
8
1
8
16
16
0
0
0
0
8
8
8
4
4
4
8
8
20
0
2
2
8
0
0
0
8
0
8
8
0
16
16
0
0
0
2
2
2
2
2
8
8
8
8
8
8
0
16
8
8
0
0
8
16
16
16
8
16
8
0
0
2
0
2
2
2
8
8
8
8
8
8
0
8
0
16
0
8
0
0
4
4
8
17
0
0
16
18
18
8
16
16
16
4
4
24
8
8
8
8
0
0
0
0
0
0
0
8
8
8
1
16
16
16
16
32
32
32
8
8
16
0
0
16
16
0
44
4
8
0
8
2
2
8
1
8
9
0
0
6
6
32
2
2
3
16
8
8
8
2
0
24
24
1
4
0
12
8
16
16
16
16
0
0
0
0
8
8
9
8
0
16
8
8
8
27
16
8
8
8
8
8
8
8
0
0
0
16
16
16
16
8
0
0
0
19
16
16
1
1
1
0
2
2
2
0
0
0
0
8
8
8
8
1
1
1
1
3
16
16
16
0
0
8
8
8
0
0
0
48
48
48
48
0
0
0
0
2
2
0
0
0
16
16
8
8
8
8
42
25
8
24
48
48
48
8
16
8
8
8
16
16
16
16
16
16
16
16
32
4
4
4
8
16
16
16
8
16
16
8
8
8
8
8
8
8
0
17
0
0
0
0
0
0
0
8
8
8
4
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
8
16
17
17
4
4
8
1
32
32
4
1
1
8
8
8
8
0
0
0
0
0
16
4
16
16
16
16
16
9
9
9
9
0
0
0
0
0
0
0
20
20
0
0
31
31
0
0
16
4
0
0
0
0
0
0
5
5
1
0
0
1
1
0
0
0
0
0
8
16
1
1
1
16
16
0
1
8
8
8
24
16
0
0
0
2
0
1
4
16
0
8
8
0
16
16
16
24
8
1
29
19
19
1
0
16
16
16
17
16
0
0
24
24
24
16
8
0
0
0
0
0
0
0
0
40
40
8
4
4
4
4
32
32
0
0
0
0
2
8
8
8
1
8
16
0
2
32
0
8
8
8
8
8
16
0
8
2
2
8
8
8
16
0
0
0
0
0
0
5
5
8
4
0
0
0
18
8
8
0
0
0
33
1
1
1
1
1
1
0
0
8
8
8
8
8
33
10
10
10
10
0
0
32
32
0
0
0
8
16
8
8
8
8
0
0
1
0
25
25
12
8
16
16
4
4
16
0
8
16
0
0
8
8
8
8
8
16
0
10
10
16
1
1
1
16
16
8
16
16
0
0
16
16
16
16
0
17
2
2
16
16
8
8
2
8
8
8
16
0
0
4
8
8
17
1
1
1
16
16
16
24
24
24
24
24
0
0
0
8
8
8
0
0
0
0
0
0
8
8
8
8
0
10
20
1
3
3
0
0
8
8
8
4
6
0
0
0
8
8
8
16
16
16
16
4
4
4
4
4
8
4
4
4
4
4
4
0
0
0
3
3
2
2
8
8
8
0
0
0
0
0
28
28
0
0
16
1
4
4
4
10
0
0
0
32
8
1
16
16
0
0
8
2
18
2
8
32
33
32
1
16
16
16
0
0
16
0
0
8
8
0
0
0
1
4
8
8
1
0
8
8
2
1
16
16
8
8
8
8
8
8
1
8
9
4
4
8
0
8
2
8
16
16
16
8
16
0
0
1
33
32
1
8
8
4
0
0
0
8
0
16
16
32
32
2
2
16
32
32
0
0
2
4
4
0
29
29
29
14
0
8
0
0
0
16
8
8
8
0
24
4
8
24
8
0
0
1
16
8
1
6
6
6
16
0
32
32
16
8
12
0
0
0
0
16
8
8
8
12
8
48
8
10
10
8
0
0
1
0
49
49
25
25
25
8
8
16
16
1
0
12
12
2
2
0
8
8
8
16
16
16
16
16
16
24
16
0
0
0
2
2
2
2
2
2
0
8
8
9
16
16
16
8
8
8
8
0
0
0
28
0
0
32
32
32
32
1
1
0
16
0
0
8
8
8
8
8
8
8
8
12
16
8
0
1
0
0
0
1
8
8
8
8
8
8
1
1
0
8
8
0
8
8
0
8
8
0
0
0
0
4
0
16
11
2
2
0
2
2
9
0
0
16
8
8
8
0
0
8
8
0
8
2
2
1
16
12
28
59
59
59
24
1
1
0
8
0
8
8
0
0
0
0
0
0
0
24
8
8
8
8
8
8
16
16
16
16
16
16
2
0
1
1
16
16
4
4
4
8
44
44
8
0
0
16
16
16
16
16
16
16
16
13
16
4
4
16
16
16
8
0
8
8
8
8
8
0
8
8
4
8
5
16
0
0
1
6
0
16
16
16
16
16
4
16
16
4
0
8
0
16
16
0
0
0
8
8
8
0
0
8
8
4
4
0
4
24
8
8
24
24
24
2
0
0
0
8
4
16
17
28
28
8
5
5
0
0
0
0
16
16
8
0
2
0
0
0
0
2
0
1
0
0
0
16
16
16
4
4
3
2
2
8
0
16
16
16
16
16
0
0
16
0
0
0
16
8
0
24
16
16
16
16
16
16
8
0
0
16
16
16
16
16
16
16
16
16
0
0
8
17
24
16
16
16
28
28
28
28
28
28
28
16
16
16
0
0
16
0
8
8
8
8
8
0
2
16
16
16
0
0
0
0
0
16
0
0
0
0
8
4
4
4
4
16
16
4
4
4
4
4
4
4
0
0
0
4
4
4
4
0
8
0
0
0
0
8
8
8
1
8
8
8
8
8
8
0
8
8
16
16
8
8
16
8
20
16
0
0
8
26
26
0
0
0
2
2
2
2
2
2
2
2
2
2
2
2
8
8
8
8
16
16
8
8
8
8
0
0
0
8
8
8
8
32
32
0
0
0
32
9
0
0
0
0
0
0
8
8
8
8
20
8
8
8
0
32
0
0
0
16
16
0
8
0
8
8
8
0
0
2
2
2
0
0
0
24
24
24
1
1
1
8
8
8
8
8
8
16
32
0
6
6
16
16
16
16
16
16
16
8
0
16
16
8
2
2
8
8
8
8
0
0
0
4
16
16
16
16
2
16
0
0
0
0
16
0
9
2
2
16
16
16
16
16
16
16
16
16
16
16
16
16
16
0
24
0
24
24
2
2
0
4
4
4
4
0
16
4
8
0
0
0
8
4
4
2
0
32
32
32
16
16
8
8
8
8
8
8
8
0
32
0
1
1
8
1
1
1
0
20
16
16
8
0
16
0
0
0
0
8
8
8
1
0
0
0
2
8
8
1
1
1
1
1
8
0
0
8
1
1
1
1
0
0
0
16
2
16
16
16
0
8
8
4
0
0
0
3
3
0
0
0
0
2
4
4
0
8
8
8
8
8
16
16
16
16
0
16
16
16
8
16
16
3
3
21
53
8
8
32
32
0
0
0
0
8
8
0
4
4
4
0
0
4
8
8
4
32
0
16
16
16
16
16
16
48
8
8
0
0
4
2
2
2
8
8
8
8
0
0
0
16
0
16
16
22
49
0
8
8
0
0
0
0
2
0
0
4
4
4
4
4
4
16
16
0
0
0
0
1
1
0
0
4
4
0
16
16
4
16
0
0
0
0
0
0
0
0
0
0
20
20
8
8
8
8
8
0
0
0
0
0
20
20
20
0
0
0
0
17
2
2
16
16
16
0
8
8
8
8
8
0
0
16
0
8
0
8
16
16
16
16
16
8
8
8
24
8
16
8
8
8
1
1
0
0
0
0
8
8
24
24
24
24
24
24
8
8
0
0
0
0
13
16
0
0
0
1
34
0
0
8
2
2
2
16
0
0
0
0
8
16
16
16
16
18
18
0
32
32
0
0
12
0
8
8
32
12
8
18
20
1
4
20
1
1
1
1
4
4
62
0
4
0
0
10
16
0
16
16
16
16
8
4
16
0
4
4
17
16
0
16
0
8
0
0
0
24
0
8
8
8
8
4
16
8
10
2
8
40
40
8
1
12
12
16
8
1
0
0
8
8
8
0
1
1
4
16
2
8
16
16
16
16
16
16
8
0
0
8
8
8
8
8
4
4
1
16
16
0
0
24
24
8
16
16
16
1
24
16
24
16
16
0
8
8
8
8
8
8
8
8
8
16
16
8
8
8
16
1
0
0
0
16
16
1
1
1
1
1
8
16
16
16
16
16
16
1
0
44
44
0
8
8
0
16
16
16
16
16
16
16
16
8
8
8
8
0
0
8
8
0
24
16
16
24
24
0
4
0
0
0
16
16
8
8
8
0
0
1
0
0
12
12
2
40
4
2
32
32
32
32
32
0
0
0
8
8
16
0
8
8
0
8
8
0
8
0
0
42
42
42
42
42
8
8
8
8
0
0
0
0
2
2
16
16
0
0
0
8
8
0
8
8
8
32
32
17
8
8
8
8
8
25
24
1
1
8
8
8
8
8
0
0
20
20
20
20
0
0
0
0
52
0
0
8
8
0
0
0
0
0
0
0
0
8
16
16
8
0
14
8
0
0
16
16
16
0
16
16
17
1
0
4
4
1
1
1
2
2
2
4
8
8
0
16
0
0
8
8
48
48
0
0
0
0
0
0
0
0
0
4
16
16
8
0
8
16
16
24
0
4
4
4
0
8
8
8
8
16
16
16
16
16
16
16
16
16
8
2
2
2
24
0
0
2
2
2
8
8
8
1
8
8
8
8
0
8
8
9
0
0
0
16
16
1
1
1
1
1
16
16
2
2
0
16
16
16
50
50
16
8
8
8
8
0
4
4
0
0
0
0
8
8
16
16
5
5
5
23
8
8
16
2
16
0
0
0
8
8
8
8
8
8
16
16
0
8
0
0
0
0
0
0
0
0
12
8
8
8
0
0
24
16
16
17
1
0
16
16
16
0
0
0
0
0
1
8
8
8
0
1
1
0
0
8
8
8
2
0
8
16
16
16
8
8
26
26
26
4
4
0
8
8
8
8
8
8
2
4
16
16
16
16
16
0
2
2
8
8
8
8
0
4
16
0
1
0
0
16
16
16
16
0
0
6
6
0
16
16
16
16
16
16
16
4
4
4
8
0
0
0
0
0
0
1
4
4
4
8
8
17
17
16
16
16
4
16
16
2
16
8
1
0
0
0
0
6
6
8
8
8
8
1
1
16
16
2
8
16
16
16
16
8
8
8
0
16
16
8
8
4
4
4
4
8
8
1
1
1
16
8
16
16
16
16
0
8
16
16
0
8
8
8
16
8
4
4
0
8
16
8
9
0
16
16
8
8
8
8
8
16
8
8
0
8
16
16
16
16
4
0
0
2
8
8
8
0
0
0
8
0
0
0
0
24
8
0
0
0
0
0
0
0
11
11
16
8
18
0
18
18
0
16
16
48
48
0
0
0
0
16
8
8
0
8
8
16
16
0
0
0
8
1
8
8
8
16
16
2
0
0
0
0
0
8
8
8
16
0
0
0
0
0
8
4
4
4
4
4
16
8
4
16
2
18
8
8
0
8
0
0
0
24
4
4
0
8
8
0
0
0
0
0
0
16
0
2
2
32
32
0
8
16
0
16
8
16
16
0
16
0
0
16
0
1
1
16
2
2
16
16
16
9
9
32
0
0
0
0
32
32
32
32
32
32
8
1
24
24
24
24
24
24
24
16
16
16
32
0
0
0
8
8
17
0
0
8
8
16
16
0
16
16
8
8
16
16
16
16
8
0
0
0
0
24
0
2
8
8
8
16
16
8
8
8
16
16
0
8
8
8
8
0
16
16
8
8
8
8
2
2
2
16
0
0
0
8
0
0
0
2
2
0
0
0
8
8
4
16
24
8
8
8
8
8
8
8
0
0
0
8
8
12
8
8
24
24
8
16
16
8
16
0
16
1
1
8
8
8
0
18
18
18
18
16
16
16
0
4
0
0
0
8
8
1
1
4
16
20
16
16
16
16
16
16
16
16
0
1
1
8
4
16
0
8
0
0
0
16
0
0
16
0
0
0
8
8
8
8
8
4
8
8
2
8
16
0
4
33
33
1
22
16
8
0
8
0
0
0
0
0
1
1
8
8
8
8
8
8
0
0
0
0
24
8
8
8
1
2
8
8
8
32
32
32
22
22
24
8
8
8
16
20
8
8
4
16
1
16
16
16
16
1
1
0
8
0
0
8
8
8
8
24
24
6
37
8
0
0
0
0
0
0
8
16
8
16
16
0
8
16
16
0
8
17
16
16
16
8
8
16
1
16
25
16
0
0
20
4
1
0
0
16
0
0
0
0
0
0
2
2
16
16
8
8
8
8
8
16
8
8
8
8
16
16
16
8
40
8
8
8
8
8
0
0
0
1
16
0
1
8
24
8
2
2
2
2
16
16
8
8
2
1
8
0
0
0
0
8
8
8
0
1
1
0
8
16
22
16
1
1
1
1
8
32
50
50
0
20
16
8
8
8
8
8
0
0
0
1
1
8
24
8
0
0
0
0
8
4
6
6
0
25
25
25
8
1
0
16
16
16
0
8
16
10
10
0
0
0
16
1
0
4
8
0
35
0
16
17
57
57
57
0
24
16
23
8
0
5
8
0
0
0
8
8
8
0
0
8
4
0
0
1
1
16
16
16
16
16
0
2
2
2
2
0
0
8
8
4
0
1
8
8
16
0
0
0
16
16
1
16
16
16
16
16
4
4
4
4
4
3
0
8
17
24
8
1
3
3
4
8
4
4
4
0
0
0
32
8
8
16
16
16
16
16
8
8
8
8
1
0
0
0
8
8
0
16
16
0
4
4
16
16
8
8
8
8
8
8
0
2
8
0
0
0
0
8
8
8
16
1
0
2
8
8
8
8
0
8
1
0
0
24
8
16
16
16
16
0
8
4
4
4
2
2
2
12
8
0
0
0
8
0
0
0
8
8
8
0
0
0
0
4
4
4
20
4
8
8
32
32
8
4
4
8
8
0
8
0
8
8
0
32
32
10
10
10
18
18
16
8
24
24
24
24
0
0
0
0
24
8
8
0
0
33
12
8
8
8
12
8
8
8
16
16
0
0
0
0
11
2
16
1
16
16
0
0
16
16
16
16
0
0
0
0
8
0
0
0
2
2
8
8
8
0
8
28
20
0
0
0
0
16
16
8
0
36
36
36
0
0
0
16
16
16
16
16
30
30
30
0
8
0
0
0
0
32
16
0
4
0
24
24
1
1
1
4
4
4
2
2
16
0
4
4
4
4
0
0
4
8
8
8
8
8
0
17
1
1
1
4
8
8
8
16
4
4
24
8
8
8
1
1
1
1
1
32
0
0
0
8
16
16
0
0
10
4
0
4
4
1
1
1
1
1
8
8
8
8
5
5
5
16
16
16
16
16
0
8
8
0
0
2
8
0
0
0
18
1
1
0
21
16
16
0
0
2
4
6
16
16
0
0
0
0
16
16
16
16
1
1
1
4
4
4
4
8
32
32
32
32
16
16
16
16
0
0
0
0
1
9
0
8
8
8
2
16
8
2
16
18
2
0
8
8
8
8
1
32
32
32
0
0
8
8
8
8
8
8
8
8
2
0
8
8
32
21
20
0
16
16
16
16
16
16
16
16
16
16
16
0
0
8
0
8
8
8
2
8
4
8
0
0
0
0
0
0
0
24
24
0
24
8
8
8
16
16
2
2
2
2
4
8
19
16
16
16
0
0
0
0
0
8
1
1
1
0
2
4
9
9
9
0
10
0
0
16
0
0
8
0
1
1
1
0
0
0
0
0
8
8
8
1
16
0
0
1
0
0
8
0
16
0
0
0
0
16
16
16
16
16
0
4
4
0
1
0
0
8
0
0
4
0
0
0
8
8
16
16
16
16
16
16
0
0
0
8
0
0
16
16
16
8
8
8
8
16
16
1
16
0
16
16
0
8
16
10
8
0
16
4
4
20
4
16
16
16
16
8
8
34
8
8
8
3
3
0
0
8
16
16
16
0
2
2
2
2
2
28
8
1
8
20
4
4
4
4
4
4
4
8
8
8
8
8
8
8
8
8
4
0
0
0
0
8
0
8
1
0
0
0
4
0
0
0
0
18
16
8
8
8
8
32
24
24
0
4
4
0
0
0
0
0
0
8
0
0
0
8
0
5
1
1
1
1
4
4
8
2
2
12
0
8
1
1
0
0
8
32
40
8
8
0
3
1
1
1
0
1
4
0
0
0
8
8
16
16
8
8
8
0
8
8
16
8
8
17
24
8
8
8
0
0
16
16
16
8
8
8
8
8
32
32
4
4
0
32
8
16
16
16
16
16
16
1
1
1
1
16
16
0
0
1
3
2
16
16
16
16
0
0
0
16
16
16
4
4
4
4
1
1
1
1
16
8
8
8
8
8
32
32
0
0
8
24
16
16
8
8
16
16
8
8
0
0
0
0
16
4
8
8
8
0
24
8
8
8
6
4
1
1
0
0
2
8
8
9
0
8
8
8
8
8
8
24
0
8
8
8
0
0
0
0
0
0
8
2
8
8
2
8
8
8
32
32
0
0
2
0
0
0
0
0
8
8
0
40
40
8
4
8
8
8
8
0
16
16
16
16
16
16
16
16
1
0
17
17
0
0
0
16
16
16
16
4
16
0
16
16
16
0
8
8
0
16
0
8
8
8
8
0
0
0
8
8
4
26
26
0
8
8
16
16
2
2
6
24
24
5
1
28
0
0
0
20
20
12
12
12
0
8
8
8
1
16
16
16
1
1
1
0
0
0
1
8
8
0
0
0
0
16
0
0
8
8
0
0
16
16
4
0
4
0
0
0
0
8
24
24
0
0
0
0
0
0
0
16
0
8
0
1
1
1
2
8
16
16
16
16
16
17
0
16
16
4
2
4
8
24
8
32
0
0
8
8
8
8
16
0
0
0
0
24
4
4
4
0
1
1
1
0
8
8
32
32
32
32
8
2
9
8
0
0
2
16
16
1
1
1
12
12
12
12
0
0
2
2
40
40
40
0
1
0
0
34
2
32
8
8
0
16
8
2
16
2
8
8
8
2
2
16
8
8
0
2
2
0
0
0
0
8
2
2
8
8
9
8
8
0
8
8
8
8
1
0
8
1
0
20
0
16
8
8
8
0
4
4
24
12
12
8
8
16
8
8
0
4
4
16
16
16
8
8
8
0
16
9
8
8
8
8
0
0
8
0
8
8
8
8
8
8
8
8
8
8
8
8
8
16
16
16
16
16
16
16
0
0
8
16
16
16
16
16
59
0
0
0
0
0
32
32
8
0
16
16
6
16
16
8
8
4
0
0
0
0
8
17
0
0
16
16
16
16
16
1
8
0
0
0
16
19
1
16
0
0
8
28
0
0
1
1
1
1
16
8
8
8
16
16
16
16
0
0
16
16
1
0
16
9
9
20
20
8
4
1
1
0
16
16
0
0
16
24
2
2
2
1
0
0
8
0
0
0
8
8
8
8
0
0
3
3
16
1
1
1
9
9
16
24
16
16
8
8
9
8
16
1
1
1
1
1
1
40
40
40
40
0
9
9
36
0
17
8
8
8
36
36
22
8
8
0
4
4
16
0
4
4
4
8
16
8
0
16
16
16
16
0
0
0
0
8
8
8
8
0
8
8
0
16
16
16
0
0
8
8
8
8
8
8
8
8
8
49
49
49
49
4
8
8
8
8
24
1
1
2
2
2
2
40
8
0
0
0
0
0
0
16
16
0
24
16
16
1
1
8
16
16
16
32
4
4
24
0
8
16
0
16
4
4
4
4
8
8
16
16
16
16
8
8
8
16
16
16
16
16
32
32
8
0
8
8
0
0
8
0
0
0
4
8
8
8
8
22
0
0
1
1
1
8
0
8
2
8
0
16
16
8
1
16
0
16
16
16
16
0
0
0
18
16
16
16
1
0
16
16
16
16
0
0
8
16
0
0
0
16
8
8
8
8
8
0
0
0
8
16
19
19
19
1
0
0
0
2
2
2
2
2
4
24
1
1
1
1
1
32
32
32
0
4
4
4
4
4
1
1
5
5
5
5
2
16
16
0
0
32
32
4
4
0
16
16
0
0
1
34
8
8
8
16
16
8
8
10
2
0
8
40
8
8
8
8
8
24
2
1
8
21
8
8
0
0
0
8
16
4
4
0
1
8
8
8
12
0
0
0
0
8
4
4
0
44
44
44
8
8
8
2
0
33
33
0
0
0
0
0
0
0
8
8
8
8
8
8
8
0
0
0
0
0
0
32
8
0
8
8
12
0
0
0
12
12
12
0
16
16
16
8
8
8
33
33
24
16
8
8
8
0
8
8
8
8
8
32
15
0
0
0
8
8
0
8
8
16
16
16
0
8
8
8
10
10
10
10
10
57
16
24
0
8
0
0
8
8
48
2
2
0
1
0
1
4
8
8
0
8
0
16
16
16
16
18
2
2
1
60
0
0
16
16
0
0
0
4
0
0
4
4
4
4
8
8
8
0
0
16
16
8
8
8
16
16
5
5
8
16
16
0
0
0
0
0
0
0
8
20
20
20
16
16
0
0
0
0
16
16
16
16
16
0
8
16
16
0
4
8
16
16
1
1
1
1
1
24
0
8
14
40
2
2
2
2
2
36
36
8
8
8
8
8
4
4
4
4
4
4
4
8
17
0
0
0
0
0
0
0
0
1
8
8
8
1
8
2
0
0
0
0
16
2
2
0
0
16
16
16
16
0
0
16
16
16
16
12
4
1
32
52
0
0
8
0
0
8
8
8
24
8
16
16
0
10
0
4
0
8
16
4
16
16
16
0
0
4
8
2
2
18
1
27
8
4
4
0
16
16
16
0
0
0
8
8
0
4
4
0
0
2
16
16
8
8
8
8
8
0
8
8
44
44
0
0
16
16
16
16
16
0
10
24
24
24
0
0
0
0
0
8
8
8
8
8
0
32
32
32
32
2
2
2
2
0
0
24
24
16
18
8
8
0
8
1
8
16
48
8
16
0
0
1
1
1
16
16
16
16
16
16
16
16
16
16
16
16
4
0
0
8
8
8
8
8
2
2
2
0
0
0
16
16
16
16
16
16
16
32
0
0
25
25
25
25
25
25
25
25
25
22
8
1
13
13
13
0
4
4
32
4
1
8
8
8
8
0
0
8
8
8
32
32
32
32
4
4
4
0
16
16
16
4
4
4
21
16
16
1
1
1
8
8
0
0
8
8
8
8
0
0
16
16
16
8
8
8
0
4
4
8
0
24
16
16
16
2
2
2
0
0
0
0
32
32
32
0
8
9
0
16
8
5
5
5
5
5
4
4
4
4
5
4
4
4
8
25
9
9
16
16
16
16
16
8
8
8
0
32
32
32
32
32
32
48
8
8
8
0
0
8
0
0
0
8
40
8
8
8
8
8
12
0
0
8
0
8
8
8
8
8
4
4
16
16
0
40
0
2
0
8
1
4
4
4
4
4
16
16
0
0
8
8
8
8
8
8
0
16
16
7
7
7
4
4
8
0
4
4
4
50
8
0
4
1
1
8
32
40
4
4
4
4
4
4
1
0
0
8
8
1
1
0
16
16
16
8
8
26
2
2
16
8
8
8
8
8
16
16
4
0
4
0
8
8
0
16
16
8
16
16
16
16
16
1
8
8
12
12
16
16
0
2
1
1
16
16
8
8
8
0
4
8
8
8
8
8
16
16
0
0
0
0
8
8
8
26
26
26
4
4
0
8
4
8
8
24
24
0
0
8
16
16
16
16
0
16
16
0
0
0
0
52
52
52
0
1
1
1
1
1
8
8
8
8
8
4
4
4
4
4
4
4
4
4
0
0
16
0
16
8
8
2
32
34
34
8
0
1
4
20
16
4
8
8
2
0
19
2
0
0
1
0
0
0
0
16
1
16
24
0
0
16
16
4
4
32
32
44
44
44
40
8
16
0
0
0
16
16
2
2
1
4
0
18
18
0
16
0
0
0
0
0
0
0
4
4
4
4
4
16
0
9
9
8
15
9
9
16
8
8
8
8
8
8
8
0
0
0
8
16
2
0
0
0
0
0
0
0
0
16
16
16
16
16
16
16
16
16
16
16
16
16
16
0
0
0
4
4
4
4
24
8
8
0
4
2
2
0
0
16
2
2
2
8
8
2
28
3
8
2
2
8
8
8
2
2
2
2
2
2
16
16
16
0
0
0
0
0
8
0
8
8
8
8
16
2
2
2
2
2
2
16
16
0
0
0
0
0
0
8
8
1
1
1
1
1
1
1
1
1
1
1
1
2
0
4
4
0
4
4
4
0
48
1
0
0
9
9
9
8
8
0
16
16
8
8
0
0
4
4
16
16
20
20
24
0
16
0
0
18
18
18
0
8
0
0
8
24
32
0
2
2
8
2
4
12
4
4
0
0
0
8
8
8
0
0
4
0
0
0
0
0
0
0
0
8
8
8
21
1
13
0
1
2
2
16
4
16
8
8
8
16
16
8
16
8
16
8
8
8
0
0
0
0
0
0
0
24
0
0
0
8
1
1
16
0
0
0
0
24
8
2
2
2
2
2
2
2
0
0
8
16
16
0
0
8
8
24
24
0
24
0
18
8
1
17
8
0
12
1
1
1
8
8
8
8
4
16
11
8
8
8
8
16
16
16
0
0
0
0
0
16
1
1
1
1
1
1
17
17
8
8
0
4
4
4
4
4
20
20
8
8
2
2
8
4
5
0
0
0
16
16
16
8
8
8
8
0
0
0
0
0
8
0
8
8
8
8
0
16
8
2
16
16
16
8
8
8
8
24
16
16
24
24
24
24
24
0
0
0
0
28
28
28
56
56
8
1
2
2
14
2
0
0
16
16
16
16
16
16
16
16
16
0
0
8
8
8
8
0
0
0
0
0
0
0
16
16
16
16
16
16
12
8
4
24
17
17
0
16
16
0
4
4
4
24
8
16
16
16
8
8
16
16
16
16
16
16
2
0
2
2
8
8
8
16
16
6
1
1
1
0
8
0
33
33
32
32
32
0
0
0
0
17
17
20
20
1
0
4
1
16
16
16
16
0
4
8
0
8
8
8
26
2
2
0
0
16
16
0
16
8
8
0
8
0
0
16
16
0
8
1
0
8
8
8
8
8
8
2
4
32
32
16
16
16
0
0
0
0
0
24
24
8
8
8
8
1
1
1
1
20
8
8
8
2
2
2
8
8
8
8
9
9
0
0
0
0
0
0
36
44
36
8
18
8
8
8
8
8
6
6
16
16
6
2
2
2
2
16
16
8
8
16
8
8
8
16
16
24
24
2
8
8
8
8
8
8
0
16
8
8
8
8
4
6
6
6
8
8
8
16
1
16
16
16
16
16
16
16
32
0
17
0
0
0
8
8
0
4
4
4
0
4
4
4
0
8
8
8
8
8
8
4
12
8
8
8
8
0
2
16
0
0
1
1
16
16
16
8
8
6
2
16
4
4
40
1
1
1
7
0
0
0
0
0
4
0
16
1
1
1
1
0
0
0
16
16
16
16
24
0
0
0
0
16
16
0
0
0
0
0
4
4
4
6
6
0
1
1
8
8
8
8
1
0
1
1
1
0
0
0
0
4
4
8
0
16
16
16
16
0
16
16
2
2
2
2
0
0
0
8
8
8
4
48
0
0
0
0
0
0
0
32
32
32
32
0
0
16
8
8
8
8
8
8
0
8
8
8
8
4
32
32
32
0
1
8
0
0
2
8
0
0
8
16
16
16
16
0
8
1
1
32
4
8
0
16
16
8
8
8
8
16
16
2
2
2
16
8
0
0
0
24
16
20
20
20
20
20
20
0
0
0
0
0
0
8
8
8
8
8
8
8
1
4
8
0
0
4
4
8
8
8
0
0
0
0
8
8
0
2
32
16
16
16
16
28
28
8
0
0
0
0
0
2
8
1
4
4
8
8
8
8
2
4
2
2
2
2
0
0
8
0
16
0
0
0
0
0
0
8
8
8
8
16
2
1
8
8
8
8
8
4
4
3
8
0
0
0
0
0
0
0
16
16
16
16
16
9
8
8
4
4
4
4
0
0
16
0
4
16
16
16
16
0
0
24
0
16
16
8
0
8
8
8
8
8
8
8
8
0
0
0
13
13
13
8
8
8
0
4
4
8
6
6
6
4
4
0
16
0
16
16
8
8
20
20
20
20
20
0
1
1
0
32
32
32
4
8
0
0
16
8
8
8
0
4
4
4
4
4
2
2
2
24
0
0
32
16
16
1
1
16
4
0
0
8
8
8
8
8
2
2
1
0
32
0
16
8
0
0
0
8
4
8
19
0
0
0
24
16
8
0
0
0
8
8
16
8
24
24
16
16
16
16
16
16
1
1
4
17
17
17
16
16
0
0
8
0
16
16
16
8
16
24
0
0
8
0
16
16
16
16
16
16
16
4
32
8
8
8
8
8
8
8
8
8
8
16
16
16
16
8
4
4
0
17
9
8
8
16
16
32
32
3
3
0
2
24
16
16
0
0
0
24
16
16
3
1
1
18
8
8
16
24
16
16
4
0
16
16
16
16
8
16
16
16
16
16
16
20
20
2
2
2
16
16
4
4
0
16
16
16
16
8
8
8
16
16
16
4
4
8
8
8
0
0
0
22
20
20
20
0
1
24
24
0
0
0
16
16
1
0
0
0
8
8
16
8
8
0
0
8
48
0
0
0
16
16
24
16
0
8
17
17
17
17
0
0
0
0
0
0
0
0
7
7
12
12
0
2
8
16
0
0
0
0
0
0
0
16
0
2
16
0
0
0
8
16
0
0
16
0
0
0
4
0
0
0
0
2
2
2
2
0
0
32
0
2
8
50
18
18
18
8
8
8
32
32
16
16
0
20
2
2
8
8
8
8
8
4
16
16
16
0
8
8
8
4
4
8
24
8
0
0
16
16
16
16
16
16
16
0
0
0
0
0
0
0
8
8
16
25
25
25
0
0
20
0
0
0
0
0
8
8
8
8
8
8
0
16
16
16
16
0
0
8
3
3
3
8
8
8
0
40
40
2
0
4
4
0
16
0
24
16
16
16
16
8
8
0
0
0
0
16
16
16
16
8
8
8
52
0
0
8
0
0
0
16
0
10
25
0
0
16
16
16
1
1
0
8
8
8
16
2
16
16
16
0
16
16
8
8
34
50
0
17
17
0
0
0
16
16
16
0
20
20
8
8
16
16
0
0
16
16
16
8
18
18
16
1
16
16
8
4
4
4
10
8
0
0
0
32
33
8
32
16
8
8
8
0
0
0
0
0
0
16
16
16
16
16
0
0
0
8
8
8
1
16
16
0
0
0
0
0
0
8
32
16
16
8
8
8
8
30
30
30
16
24
24
4
0
0
8
8
8
8
8
8
1
1
1
0
4
0
0
0
0
16
16
16
0
16
16
16
16
32
32
16
16
16
16
16
0
8
16
16
8
0
0
0
0
0
1
0
0
0
2
2
0
2
0
8
2
1
1
2
2
2
2
2
32
8
8
8
16
8
8
8
0
2
2
32
32
32
16
16
1
1
8
8
8
0
16
16
8
0
0
20
16
16
16
0
0
0
0
8
8
16
0
0
8
0
8
2
2
0
0
24
32
35
2
16
16
16
0
4
4
32
8
8
3
1
0
16
4
0
0
16
0
0
8
0
0
16
16
16
16
16
2
2
2
2
16
8
8
16
16
16
16
1
1
8
8
8
8
0
4
4
0
0
0
11
20
2
2
4
2
0
32
18
18
1
8
8
0
2
2
0
8
8
8
8
16
16
8
0
0
0
1
20
20
20
20
0
0
0
8
8
8
16
0
0
0
8
2
1
1
20
0
0
0
8
41
16
16
0
2
2
0
8
16
8
16
16
16
8
24
16
8
8
17
20
8
8
8
8
8
24
16
0
8
0
16
8
16
8
8
4
9
16
16
18
18
16
1
8
8
8
24
0
0
1
1
12
12
17
4
4
32
32
32
8
8
0
0
0
0
8
8
8
0
0
0
4
4
4
4
16
8
16
16
0
1
32
32
32
1
1
1
8
8
8
8
8
0
0
0
0
0
0
8
16
0
0
0
32
32
32
32
32
1
1
16
16
24
24
16
0
4
2
0
0
0
0
0
0
4
4
4
28
24
24
24
16
1
1
9
8
8
1
57
57
16
16
16
16
8
2
0
34
8
40
40
40
0
0
0
0
0
0
0
16
16
16
6
8
17
0
0
16
16
8
8
8
4
0
0
8
8
8
8
8
1
24
9
8
16
8
8
4
16
0
8
8
1
8
8
8
1
1
1
1
1
1
1
1
1
6
6
6
8
8
8
8
16
16
16
0
0
0
32
8
16
16
2
2
2
1
8
8
8
2
10
7
0
8
8
16
16
16
9
8
8
8
8
0
0
0
2
2
2
0
0
16
6
6
4
0
0
0
4
8
8
8
0
0
0
0
8
8
0
0
0
22
8
8
0
0
0
0
0
0
0
16
1
1
8
0
0
0
0
16
16
16
8
32
32
4
0
8
8
8
8
0
0
0
0
59
59
8
8
28
4
0
0
8
0
2
16
8
8
1
1
1
0
0
0
0
16
8
0
0
0
0
0
56
12
0
0
17
16
16
16
16
4
4
0
1
1
1
1
32
32
32
32
16
0
16
16
16
16
16
0
0
0
0
16
16
16
16
16
16
16
8
8
2
2
2
8
8
8
8
8
6
6
0
4
4
24
24
24
24
16
16
8
8
24
12
12
16
16
0
8
8
8
16
18
18
18
18
17
14
0
16
16
16
4
0
0
0
0
8
8
8
8
16
0
0
0
0
0
0
0
16
2
2
0
0
9
32
32
0
0
16
1
17
32
22
20
20
16
16
16
0
0
0
0
8
4
8
0
4
16
16
16
1
0
0
0
8
4
4
8
8
0
8
8
32
32
32
32
16
16
16
24
8
8
8
8
0
0
0
0
0
1
8
8
8
8
8
8
0
0
0
0
0
0
0
0
4
16
8
8
8
8
8
8
0
8
0
0
0
0
8
0
8
8
8
8
8
32
4
20
0
0
8
8
0
0
16
16
8
8
1
8
0
0
0
0
0
8
8
0
0
8
8
4
0
0
0
0
16
16
8
8
8
16
16
8
8
8
24
24
24
8
8
8
0
8
8
8
8
8
0
27
27
2
2
2
0
20
0
48
48
48
4
0
8
8
8
8
16
16
0
1
1
1
4
16
16
0
0
19
1
19
19
8
8
8
8
0
0
2
10
10
0
32
0
0
0
0
8
8
0
16
16
16
16
16
16
16
16
16
16
16
16
8
8
0
0
0
0
8
8
8
8
8
0
0
9
16
16
24
4
1
0
0
0
16
4
4
8
8
16
0
0
8
8
8
12
24
8
8
4
4
4
4
0
16
0
8
16
4
4
4
4
4
17
17
17
2
2
4
16
32
32
32
32
32
16
8
8
8
8
8
8
8
8
0
8
8
0
8
0
0
0
16
0
0
0
0
1
8
8
18
18
0
8
8
8
8
8
8
8
4
0
4
16
16
16
16
0
32
0
0
0
0
0
16
16
16
0
8
0
40
8
0
0
8
8
0
0
0
0
16
16
16
16
16
17
17
17
17
17
17
17
17
17
16
8
32
0
0
0
0
1
17
17
2
16
4
16
16
16
16
16
0
8
8
0
0
16
0
0
0
16
16
16
16
2
16
16
4
4
4
4
4
8
0
0
0
4
0
0
0
8
8
1
1
1
8
8
8
8
8
8
16
8
16
16
16
4
4
4
4
4
4
8
16
8
4
4
0
0
16
0
0
0
0
32
0
0
0
0
2
2
2
2
0
0
0
4
0
4
4
24
0
16
0
0
0
0
1
1
1
1
1
8
8
16
1
1
1
8
0
0
25
0
0
0
0
16
16
1
16
0
0
8
8
32
32
32
32
32
32
32
32
16
4
0
8
4
16
16
16
4
16
16
16
16
16
0
0
0
0
4
4
0
0
0
8
8
0
4
12
24
24
0
0
16
16
22
0
2
2
0
0
0
0
1
0
16
8
8
8
8
0
0
8
0
0
0
0
8
8
16
16
1
8
12
12
12
8
16
8
8
2
8
8
8
1
1
1
8
0
8
8
16
16
16
16
8
1
1
1
16
0
0
8
16
8
8
8
0
0
0
8
8
0
0
0
0
1
1
1
1
1
1
1
46
0
4
4
4
0
0
0
0
8
8
16
8
8
0
0
9
8
8
8
8
8
8
0
16
0
8
8
0
0
34
0
0
0
26
26
8
8
8
17
2
8
41
16
16
8
32
8
8
24
24
24
24
0
8
16
0
0
0
0
0
56
24
24
16
8
8
8
0
16
0
16
16
0
2
2
2
0
8
8
8
8
4
8
8
0
0
1
17
17
4
4
0
0
0
16
0
16
2
2
0
0
16
16
8
8
8
2
2
2
0
0
0
0
8
8
8
8
0
0
0
8
8
8
8
8
0
0
0
8
0
8
8
8
8
8
0
0
16
0
16
16
16
16
16
24
11
11
0
0
1
8
8
8
8
16
16
0
0
0
8
8
32
32
32
8
8
20
8
8
8
8
0
0
0
2
2
0
9
0
0
40
40
0
0
0
0
0
32
16
1
1
1
44
9
9
4
4
16
8
2
2
3
3
3
3
3
3
3
5
5
2
2
4
8
0
8
8
8
8
0
0
0
16
0
0
0
0
0
0
16
8
8
8
4
8
8
8
16
28
0
1
2
2
2
4
4
16
32
32
32
8
0
0
0
0
8
8
8
17
1
1
1
1
0
8
8
28
28
4
4
20
0
0
32
32
32
22
16
1
1
1
1
8
0
0
4
16
8
16
8
0
0
0
0
0
0
0
0
0
17
8
16
8
8
4
4
0
0
0
16
16
16
0
0
8
8
0
0
8
8
0
8
0
0
24
24
48
48
0
8
0
0
8
16
16
16
0
0
1
1
1
0
32
32
0
0
44
16
16
8
8
2
8
8
8
1
0
0
8
25
25
25
10
10
8
0
0
2
2
8
8
16
16
0
0
0
4
4
4
33
4
4
24
16
16
1
1
16
16
16
0
2
2
2
1
4
4
2
16
8
16
2
0
41
33
16
16
16
16
16
1
2
8
0
0
8
8
8
0
1
16
0
1
1
1
1
1
1
4
16
8
19
8
32
32
32
32
1
5
5
1
2
2
2
1
1
1
1
3
3
3
0
0
0
4
8
8
0
16
0
0
8
0
0
52
16
16
24
0
49
16
16
16
8
8
8
0
0
0
12
18
16
16
0
0
0
0
0
8
16
4
8
8
1
1
1
0
0
0
4
4
48
4
0
8
4
8
8
8
2
6
8
8
0
0
8
8
8
8
8
16
16
12
8
8
16
16
16
16
0
16
16
16
16
0
2
26
10
10
10
16
39
0
16
8
4
4
4
4
36
4
4
4
16
8
0
0
0
0
8
2
2
2
1
16
44
8
8
10
10
8
8
8
8
0
0
0
0
1
1
0
0
0
16
16
8
2
6
1
4
12
0
0
0
16
0
0
16
16
32
32
0
4
4
16
16
16
16
16
16
16
16
16
16
16
8
24
1
1
16
16
0
4
32
48
32
16
16
16
8
8
16
16
16
4
0
8
16
8
0
0
0
2
2
8
0
0
8
2
0
1
8
0
0
32
32
32
0
0
0
0
0
0
1
1
2
2
2
0
0
8
8
8
0
16
16
0
8
40
0
0
8
8
0
8
4
8
0
1
1
16
16
16
4
0
0
18
16
8
8
4
0
0
0
16
0
32
32
0
0
16
32
0
8
8
8
8
0
0
8
8
8
2
0
24
16
16
16
1
32
32
17
17
17
17
0
8
0
0
0
32
0
0
0
0
16
8
0
0
24
24
24
24
24
24
24
24
0
16
16
16
0
0
0
4
4
4
8
0
0
0
0
0
0
8
8
8
8
8
8
1
1
1
0
0
16
16
41
41
41
8
8
8
8
8
8
0
0
8
16
24
8
9
0
16
16
8
8
8
0
16
0
0
0
0
1
8
16
16
0
4
16
4
4
8
0
0
0
8
8
8
1
1
1
1
0
1
1
1
8
4
8
4
4
4
4
16
16
16
16
16
16
0
20
20
8
0
0
0
0
0
16
16
8
8
8
0
0
0
0
0
4
4
16
16
32
8
0
16
1
16
16
16
4
0
0
24
0
16
0
8
8
0
0
0
0
8
24
0
0
0
2
16
24
16
16
1
1
9
1
1
0
16
8
8
16
16
16
0
8
8
8
17
17
32
32
8
0
0
0
0
0
4
25
25
16
16
8
8
8
16
0
16
4
0
0
0
4
4
4
8
16
1
1
8
8
24
8
8
0
0
0
31
8
4
0
0
0
8
8
8
8
8
8
16
16
8
1
1
1
1
1
1
0
0
0
0
8
16
16
0
8
0
16
8
8
0
0
0
0
0
8
8
0
8
8
8
8
12
8
8
32
1
1
1
8
8
33
1
1
1
8
8
9
0
8
8
8
18
8
9
8
2
8
8
0
8
8
9
9
0
0
0
0
16
16
8
8
2
0
0
0
0
4
4
16
16
16
16
4
20
0
0
17
17
1
1
0
0
0
0
0
0
0
16
8
8
8
0
0
0
0
0
32
0
0
0
0
0
0
16
28
16
8
8
8
8
36
36
2
2
16
16
16
16
1
16
16
8
8
32
8
8
8
4
4
4
10
0
16
1
1
1
1
0
0
8
8
0
16
8
8
16
16
16
16
0
0
2
2
4
4
4
4
16
32
16
0
0
0
0
0
0
0
0
0
0
2
2
0
40
40
0
0
0
1
2
2
16
16
0
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
1
1
1
17
16
32
8
40
32
0
0
8
8
8
8
24
16
16
1
1
0
0
0
8
8
1
0
8
8
60
0
2
2
49
49
2
2
8
18
16
0
0
0
24
8
8
8
1
1
8
8
8
8
8
8
8
8
8
8
8
16
16
16
0
16
16
16
16
16
1
1
1
1
1
1
4
1
0
2
4
4
4
16
0
0
0
0
8
0
0
8
2
32
5
5
4
4
8
8
24
24
24
24
0
36
8
8
4
8
8
8
0
4
16
24
8
8
0
0
0
0
8
8
8
8
8
8
8
8
8
8
8
0
16
16
16
16
8
0
16
0
12
0
16
0
0
16
8
8
8
8
16
0
1
1
1
8
8
2
2
2
16
8
0
0
0
8
16
0
32
32
32
32
32
28
28
0
32
33
8
8
8
0
0
0
8
1
1
1
16
8
8
1
17
17
0
28
24
8
8
8
8
8
0
20
20
0
16
8
0
32
8
9
8
32
0
32
32
12
32
8
8
24
1
1
1
8
8
9
0
0
16
16
0
8
16
0
8
0
16
8
8
0
0
0
8
5
16
8
8
0
0
0
2
0
0
0
0
4
4
4
4
0
0
0
0
29
0
0
0
0
0
0
16
16
16
16
0
0
0
8
8
8
0
0
8
16
16
16
1
1
1
1
1
1
1
9
34
34
8
8
8
8
8
16
8
8
8
10
0
1
1
1
1
1
1
8
0
8
8
8
8
56
56
16
8
0
0
0
8
16
0
16
8
16
16
16
16
16
0
1
1
1
1
1
1
1
1
1
1
16
16
4
4
4
4
1
0
8
8
8
8
17
49
32
0
0
16
4
16
0
16
17
16
8
0
0
0
0
12
4
4
4
4
3
1
16
8
1
8
8
16
16
16
16
16
16
16
8
24
16
1
1
16
1
1
1
1
8
8
0
0
0
16
16
16
2
2
0
0
0
0
6
6
6
6
6
16
0
0
2
16
16
16
16
8
32
16
18
0
32
0
0
0
16
0
8
8
1
1
0
0
0
4
0
0
0
0
0
0
8
1
1
1
24
0
0
16
24
28
0
16
28
28
8
16
24
16
8
0
8
0
0
0
0
0
12
0
16
0
0
16
16
16
16
0
0
10
10
4
18
18
18
18
0
8
8
16
16
16
16
16
16
16
16
16
0
8
8
32
16
0
0
0
0
27
0
0
8
0
8
8
8
0
0
0
0
9
9
9
2
0
24
24
1
8
8
8
8
8
8
8
8
8
0
0
0
8
8
0
16
8
8
8
8
0
0
0
16
16
16
16
16
16
0
0
0
21
8
8
0
8
8
8
16
0
8
0
0
0
2
2
0
8
4
4
24
8
8
8
0
0
4
24
24
16
16
0
2
2
2
16
16
8
4
0
0
0
16
16
4
4
8
8
8
38
0
0
0
34
34
34
4
16
16
16
16
16
0
12
17
8
8
8
2
16
16
16
4
24
0
0
0
0
0
0
0
0
8
16
16
16
16
33
0
48
16
32
32
16
16
8
1
1
1
0
2
2
2
2
2
1
1
4
0
0
0
8
2
2
2
2
2
16
16
10
0
8
8
8
0
0
0
0
0
0
0
0
0
40
32
8
0
16
16
32
32
32
32
32
32
12
12
12
16
16
0
0
24
24
24
0
40
8
8
8
41
16
16
16
1
4
0
0
0
16
16
4
0
0
0
0
0
0
24
4
4
4
0
0
8
0
0
0
0
16
16
16
4
8
0
0
8
8
8
4
16
0
0
0
0
1
0
1
1
1
0
0
24
0
0
16
16
32
0
8
8
8
32
32
32
32
16
1
1
8
0
0
0
0
0
0
0
4
4
16
0
0
16
16
16
20
20
20
20
20
4
0
0
16
8
8
16
16
8
0
16
16
16
16
16
4
6
9
0
0
0
0
0
0
16
4
16
24
8
8
0
8
8
0
0
8
0
16
16
16
16
16
0
0
0
2
16
16
16
16
6
4
4
4
0
0
1
1
0
0
16
16
1
1
8
8
8
8
8
0
8
8
8
8
8
4
4
16
16
8
0
0
2
2
18
0
6
6
6
6
24
8
8
2
2
8
0
1
1
1
32
32
8
8
8
8
8
0
8
8
8
8
16
16
16
16
24
0
0
0
1
1
0
16
8
8
16
16
2
8
16
0
0
0
0
8
41
1
16
16
16
16
9
1
8
8
24
0
16
16
16
8
16
16
18
8
8
33
0
24
1
1
0
0
8
0
0
8
9
0
32
32
16
16
16
0
4
16
24
1
16
1
1
1
38
38
0
0
1
1
1
6
16
0
0
0
0
0
28
28
8
8
24
8
8
8
8
0
0
0
0
1
16
24
24
8
1
4
4
4
8
8
8
8
8
16
24
24
17
25
17
24
1
0
8
8
8
0
0
1
1
1
16
16
16
16
16
16
0
0
0
0
2
2
8
8
8
0
0
8
8
8
8
8
2
32
32
32
32
32
32
32
8
8
8
8
8
0
0
0
8
8
14
14
0
0
20
20
16
16
16
0
0
0
0
16
16
26
8
8
8
32
16
1
1
1
1
16
0
0
0
12
4
8
8
8
8
24
16
0
8
0
8
8
8
8
8
0
9
16
16
0
0
5
5
2
8
8
0
0
0
0
8
9
1
8
16
8
10
17
17
17
0
0
1
1
1
16
16
0
0
0
8
8
8
8
8
8
20
8
8
8
0
49
49
8
8
8
0
8
16
16
16
16
16
16
16
16
16
8
4
0
1
0
8
0
16
32
32
0
4
4
4
0
0
0
0
24
16
0
0
8
8
0
0
0
0
1
1
1
8
8
0
28
28
28
16
8
0
32
8
0
0
17
0
8
8
0
0
0
0
0
0
0
16
8
0
1
4
4
24
8
8
1
1
16
16
0
8
8
8
8
16
16
16
0
0
8
8
8
8
0
0
0
0
8
0
18
2
8
16
16
16
16
0
0
8
8
8
8
8
8
8
8
16
16
0
8
8
0
0
0
0
0
8
8
12
8
16
16
16
8
9
0
16
16
0
0
0
0
4
0
0
16
8
4
16
8
8
8
0
8
8
32
32
0
0
0
0
0
0
0
8
8
8
8
8
8
8
16
16
8
0
0
16
8
0
0
8
8
4
8
24
24
24
24
24
24
24
16
1
0
16
0
16
16
16
16
0
0
8
9
16
0
0
8
8
8
8
8
0
0
4
0
8
9
9
9
9
22
1
8
0
32
32
32
0
0
0
0
0
0
4
0
1
0
1
0
1
1
0
8
2
8
8
8
16
16
0
8
8
4
4
8
8
8
0
1
16
24
0
8
8
8
24
24
8
8
33
0
12
8
8
4
16
16
40
32
32
32
32
8
0
0
17
8
8
1
1
9
0
0
0
1
1
1
2
1
32
32
10
4
8
0
16
16
16
16
16
4
4
0
0
1
1
1
0
0
6
6
0
16
16
16
16
16
8
0
8
4
4
16
8
25
0
0
0
8
8
8
12
8
8
4
8
8
12
12
8
8
27
1
0
0
0
1
1
1
1
0
0
0
8
14
0
0
0
8
18
8
2
1
8
8
4
32
0
0
12
0
16
4
4
0
0
0
0
16
16
16
16
16
8
8
16
16
16
8
4
4
16
16
16
16
16
8
8
8
0
8
1
1
1
8
8
17
17
2
25
8
13
13
0
40
40
40
16
8
8
0
0
0
1
32
32
2
24
24
24
16
8
8
24
8
8
8
16
20
20
20
20
1
1
16
1
8
0
0
0
0
0
3
3
3
8
8
8
16
1
42
4
8
8
8
16
0
0
0
0
0
0
0
0
8
0
0
16
16
16
16
16
17
0
32
32
32
16
16
2
0
8
17
1
4
1
28
28
0
1
0
28
28
28
28
28
0
0
0
0
0
0
24
16
16
16
16
4
4
4
4
4
4
0
0
1
1
1
1
1
8
8
8
24
24
24
1
2
2
2
0
0
17
0
1
8
2
2
2
0
0
8
8
4
0
0
6
6
13
4
16
16
2
16
16
8
40
24
0
16
0
16
16
16
9
16
0
0
0
0
0
0
8
8
8
2
8
0
0
8
1
32
32
32
32
8
4
0
8
4
4
16
40
8
8
49
16
0
0
0
0
16
18
9
1
0
0
0
0
4
4
8
8
8
8
9
9
8
8
5
5
5
0
32
32
32
32
32
32
32
8
8
8
12
4
8
8
2
2
0
6
0
18
18
0
40
8
8
8
8
23
0
13
8
8
17
1
1
8
8
8
1
2
16
28
28
0
0
2
8
0
16
16
0
16
0
16
16
16
16
8
8
32
0
0
0
0
0
16
16
16
0
0
0
0
8
8
8
1
0
0
0
0
0
8
8
8
0
0
4
4
0
32
32
8
8
8
0
16
16
16
8
8
4
4
16
16
0
8
8
16
6
24
24
24
0
26
0
0
8
8
0
0
8
0
0
0
0
8
8
9
32
0
0
0
0
2
4
12
12
32
32
8
8
8
16
16
16
8
32
4
16
16
8
8
8
0
8
8
8
0
0
8
8
16
4
1
2
2
2
0
0
16
16
0
0
0
16
16
0
0
0
0
0
8
8
8
8
8
8
12
8
1
1
0
0
0
0
8
16
8
9
8
0
0
12
4
8
4
4
4
4
1
0
17
16
0
8
1
8
8
8
8
8
8
8
16
8
8
8
8
1
8
4
4
0
8
8
8
8
8
0
8
8
8
16
16
32
16
0
0
16
8
8
8
0
8
0
0
0
0
8
8
8
8
8
4
4
0
0
8
8
8
0
8
32
32
32
32
32
4
4
4
16
16
8
8
8
0
0
0
0
25
4
0
0
0
0
8
8
8
8
8
8
8
0
0
0
22
22
8
8
8
0
17
0
16
16
16
16
16
8
2
4
4
0
0
8
16
48
0
0
16
8
8
16
32
0
0
16
9
9
8
4
0
4
0
1
0
0
8
8
8
0
0
16
16
16
32
32
17
16
16
16
16
16
8
0
12
4
8
8
0
0
0
1
32
2
2
0
16
16
16
62
62
4
4
4
8
8
1
1
8
8
0
8
0
8
24
24
8
2
2
8
8
9
0
0
16
8
8
8
0
0
16
16
16
16
26
8
0
0
0
28
28
28
8
13
8
8
8
8
8
0
1
1
16
16
8
8
8
8
8
8
0
32
8
8
8
18
16
16
16
16
32
32
0
0
0
4
4
1
32
52
0
24
32
0
0
2
16
0
8
8
8
4
39
0
36
32
14
2
16
16
16
16
16
4
36
4
16
8
1
8
0
0
0
0
0
0
8
8
8
1
8
20
4
8
2
0
0
0
1
4
4
0
0
8
2
2
4
4
8
8
8
8
18
18
2
2
8
0
8
8
8
1
2
2
16
16
16
16
16
2
2
0
0
8
24
24
8
8
8
49
0
0
0
0
0
2
2
8
16
0
0
0
31
31
31
31
0
8
8
0
2
2
2
0
0
2
2
16
16
16
16
2
2
8
8
0
4
4
0
8
16
8
4
0
0
0
0
0
0
0
8
16
0
0
0
16
16
16
16
16
16
8
8
8
8
8
8
16
32
32
32
32
32
16
16
0
0
0
0
0
11
0
0
1
1
4
4
8
0
0
8
24
24
24
0
0
2
16
16
16
16
16
8
32
32
16
8
8
8
0
0
20
20
20
20
16
0
0
0
0
8
8
8
0
0
8
32
1
1
1
0
8
16
0
6
8
8
8
8
0
0
4
0
16
16
1
1
22
10
10
8
8
8
8
4
4
4
0
8
8
11
8
16
1
32
0
8
20
0
0
0
0
0
0
8
8
0
16
0
0
8
8
8
0
32
8
8
4
4
0
0
0
0
8
0
0
0
1
0
0
0
8
4
4
0
16
0
0
0
0
8
2
0
8
1
1
1
4
8
8
16
8
16
16
16
8
8
8
8
8
8
16
16
0
8
8
8
8
0
6
2
2
1
1
1
1
8
8
16
16
16
8
0
0
24
8
0
0
4
2
30
0
9
2
8
16
16
4
2
8
8
0
4
0
0
8
8
0
0
0
0
0
16
0
0
0
16
2
2
2
41
2
2
8
8
0
0
0
32
32
32
16
16
0
20
0
8
8
0
0
8
8
8
8
0
20
4
4
8
8
8
16
16
16
16
16
8
16
16
9
32
16
16
0
0
0
20
8
0
4
16
16
16
16
8
0
16
0
8
8
1
4
4
32
32
32
0
0
8
8
24
8
16
16
16
0
1
1
0
0
0
16
16
16
8
0
0
0
0
8
0
0
0
0
0
8
0
0
0
0
16
16
8
8
16
16
8
0
0
16
16
16
16
7
7
7
7
8
8
8
8
8
8
8
8
8
8
16
16
8
8
16
16
0
0
24
16
16
16
48
2
10
0
8
8
8
8
8
8
32
32
32
32
0
0
0
0
0
24
8
8
8
8
16
4
4
4
4
24
16
0
16
16
0
4
0
0
0
0
0
0
2
8
16
16
0
1
1
4
4
0
0
16
16
16
2
2
0
0
0
0
0
8
1
1
16
8
23
0
0
22
22
22
22
8
16
8
12
12
12
8
8
8
8
0
0
0
0
8
8
8
8
40
8
8
8
0
8
8
16
16
8
8
0
8
16
16
16
0
1
1
1
32
32
32
32
8
8
0
0
2
2
2
8
0
0
5
8
4
0
0
8
8
8
8
8
0
0
0
0
16
16
16
4
4
4
16
16
16
16
0
8
8
8
8
0
27
27
27
0
1
16
16
0
0
16
8
8
8
8
8
1
1
2
0
8
8
8
16
4
4
4
4
0
8
1
0
0
8
1
1
0
0
0
2
2
8
2
2
36
1
16
16
3
3
0
0
16
16
1
1
1
8
0
8
8
8
8
8
8
8
24
24
8
4
0
0
0
0
0
8
8
4
4
4
0
4
4
4
8
8
0
0
16
16
16
0
4
4
8
8
8
16
16
16
16
16
10
4
4
32
32
32
32
32
8
8
8
8
16
8
16
16
8
8
32
32
0
0
16
16
24
24
24
8
8
2
2
2
2
2
2
0
22
26
24
2
2
2
1
4
16
8
0
0
0
0
24
24
16
16
16
2
8
0
8
8
1
8
24
8
8
0
16
16
0
8
16
16
16
0
8
8
8
4
8
8
8
0
0
4
2
8
8
8
2
2
2
16
27
1
4
4
4
32
32
32
32
0
16
16
16
16
16
16
16
0
0
32
32
16
6
0
0
0
0
8
16
8
8
0
32
32
32
16
0
2
0
0
0
16
16
0
0
0
32
16
4
8
40
4
4
16
16
8
16
16
16
16
16
0
0
8
8
0
20
50
50
4
4
8
0
1
1
2
2
0
0
16
16
8
8
8
32
8
8
8
8
8
4
0
0
0
16
8
0
8
8
8
0
0
0
0
0
8
8
8
8
8
16
16
16
2
0
0
16
8
8
0
0
4
4
4
0
8
8
8
18
24
0
16
16
1
8
0
16
16
5
0
1
8
8
0
2
2
0
4
12
8
8
1
17
17
17
16
16
0
0
0
16
8
8
8
8
0
16
16
16
37
0
0
0
0
16
1
16
19
19
0
4
4
4
16
16
16
2
2
8
8
0
0
8
0
8
16
16
0
4
4
8
24
32
8
8
8
8
0
8
0
1
9
0
0
0
0
0
0
0
0
16
8
56
56
8
8
8
8
8
8
0
0
0
0
16
16
16
16
0
8
16
16
1
1
1
1
16
0
0
0
0
0
0
0
24
16
16
0
1
1
1
1
1
2
2
8
0
0
28
8
8
0
25
32
33
12
26
10
8
8
8
8
8
4
4
4
4
4
0
8
0
0
0
1
8
24
8
8
8
0
4
20
24
16
0
8
2
16
16
0
0
24
0
0
16
16
1
1
16
17
2
2
2
16
4
4
32
4
0
0
8
8
16
0
0
0
16
16
0
0
2
2
2
2
8
8
8
2
2
2
2
0
6
6
1
0
0
0
8
8
8
8
17
16
6
6
32
32
8
8
18
0
8
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
8
0
2
2
2
2
8
4
16
16
2
2
16
8
0
8
8
8
16
12
18
8
8
8
8
8
8
5
8
0
0
0
0
0
0
8
2
8
8
8
8
4
4
0
2
0
0
0
16
0
0
0
16
4
4
17
8
8
8
2
2
16
1
0
1
18
1
16
24
24
24
24
24
24
0
2
2
1
0
17
16
17
0
0
0
16
16
9
0
24
8
8
16
0
0
16
16
16
0
8
0
0
0
0
0
3
0
24
24
24
0
8
8
0
16
16
16
8
0
24
16
2
0
0
4
4
8
8
8
8
8
0
8
1
4
0
0
0
0
8
0
0
4
0
0
0
0
0
4
0
0
17
16
0
0
0
4
0
0
4
4
0
16
16
16
16
16
4
4
4
25
0
0
0
0
8
8
8
8
16
0
4
2
8
8
1
9
1
1
2
2
2
16
16
0
0
0
4
4
1
1
0
0
0
0
0
0
0
32
32
1
1
8
1
1
1
1
1
8
2
2
2
16
17
8
8
8
0
34
34
16
16
8
8
8
0
16
16
8
8
8
0
0
0
16
16
16
24
24
16
16
0
8
8
2
0
0
0
0
4
8
0
16
0
16
16
0
0
0
4
16
24
0
0
0
32
4
16
16
16
0
0
0
8
1
4
4
1
8
0
2
0
0
17
17
8
25
8
8
0
0
32
32
0
0
0
16
2
2
0
0
0
0
0
0
2
2
2
0
16
16
1
0
0
8
0
0
8
8
8
8
0
0
0
0
0
18
8
6
4
0
0
4
4
4
0
0
0
8
1
4
16
33
33
16
16
8
8
8
8
8
8
8
8
0
8
8
4
20
0
0
16
2
0
8
8
8
32
0
0
32
8
8
0
2
8
16
0
24
8
8
8
28
8
4
16
0
0
8
16
0
0
0
4
4
0
8
1
1
1
8
8
8
8
1
1
16
16
16
0
0
0
4
4
8
1
4
4
8
0
8
17
0
0
0
0
0
0
2
8
16
16
0
0
16
16
0
4
0
0
0
0
8
8
0
0
0
0
0
16
8
8
0
2
2
0
0
1
1
1
1
1
1
1
0
32
32
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
8
18
0
8
8
8
8
8
8
8
8
8
0
8
8
8
0
0
4
4
24
0
0
8
20
0
0
0
0
0
0
10
10
10
2
2
2
2
8
0
16
1
0
0
16
16
0
0
0
8
8
8
8
32
16
16
0
0
0
8
8
18
18
18
18
18
18
0
0
0
8
0
8
8
0
0
2
0
8
0
0
8
1
1
8
8
8
8
8
4
4
0
8
8
16
8
2
8
4
1
0
0
0
0
0
16
16
16
16
0
0
0
0
0
8
8
0
8
8
1
1
24
16
32
16
0
0
0
16
16
16
8
8
8
16
0
32
16
24
8
8
8
8
0
0
0
4
0
0
0
0
0
1
1
8
18
37
37
8
8
8
8
8
8
8
16
8
4
8
0
8
8
8
0
1
8
8
8
8
0
0
0
0
0
8
0
8
8
8
8
16
16
16
0
16
16
8
1
16
16
8
8
8
0
2
2
2
2
2
16
2
0
8
16
9
9
8
16
16
16
16
16
16
1
8
0
0
0
0
0
8
8
0
8
8
16
16
52
52
16
0
16
62
16
0
0
31
31
31
31
4
4
5
5
0
2
2
24
8
8
8
8
8
8
0
0
0
0
16
16
1
0
24
16
16
16
10
32
32
0
0
1
0
8
8
24
8
8
8
0
0
4
0
8
8
8
8
0
1
1
16
49
17
1
1
0
0
0
0
16
16
16
4
4
21
21
21
8
8
8
8
8
1
1
1
1
0
6
0
0
0
0
0
0
0
0
0
4
4
4
2
8
0
18
18
8
8
8
8
8
16
4
4
4
4
4
4
1
0
0
8
1
1
1
12
12
8
0
0
0
0
0
0
0
0
0
0
6
6
6
4
4
0
0
17
0
8
16
16
2
16
16
1
1
1
1
0
0
16
16
24
0
0
0
8
8
8
8
0
0
8
8
40
8
8
8
0
0
0
0
0
0
32
8
8
8
16
16
8
32
32
32
32
32
0
0
0
0
8
8
8
24
32
8
8
8
8
8
8
8
8
8
8
8
0
24
16
24
8
8
8
8
1
0
0
4
4
4
8
8
0
0
16
16
16
16
0
0
0
0
4
4
0
0
1
0
2
2
2
2
1
12
17
0
0
8
8
8
8
1
0
0
0
16
16
4
4
32
0
0
0
1
1
1
0
8
4
5
0
0
1
28
0
16
9
9
9
8
16
0
0
4
0
0
24
24
24
4
4
16
8
8
0
0
8
10
4
8
8
16
16
16
16
16
16
16
16
8
8
8
0
12
0
16
24
16
16
8
8
8
8
8
8
0
16
0
25
16
4
16
20
8
8
8
8
8
0
1
1
1
8
0
0
4
4
8
0
34
34
0
8
8
8
8
4
4
0
0
8
8
37
37
0
32
2
2
16
16
16
16
20
8
8
8
40
40
13
0
0
8
1
16
16
9
8
17
4
1
4
16
16
16
48
32
32
32
0
16
8
8
8
8
0
8
8
8
8
8
8
0
1
8
8
8
8
8
24
8
0
8
8
8
8
24
24
24
24
24
24
4
4
4
4
4
4
9
16
8
8
8
8
8
8
0
20
20
8
8
17
17
17
17
17
17
17
17
17
16
16
16
8
1
16
2
2
0
31
8
10
8
8
8
16
8
0
0
0
0
32
4
33
32
1
18
8
8
0
16
4
4
4
1
1
0
16
16
16
16
4
16
16
16
16
16
24
4
4
4
0
0
0
0
0
1
4
48
48
4
0
0
0
0
40
40
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
16
2
1
16
17
17
16
4
8
24
8
0
0
4
4
4
4
1
1
16
16
24
24
4
0
0
18
0
16
8
8
8
16
16
8
8
8
1
26
17
17
25
8
8
4
4
1
3
1
1
1
1
4
0
4
4
8
8
0
28
28
4
16
16
8
20
0
0
16
26
26
8
4
16
0
8
16
16
8
45
0
0
0
4
4
4
4
4
4
16
16
2
2
8
0
0
0
0
1
0
16
0
0
16
16
16
8
0
8
8
8
32
16
8
8
8
28
28
28
0
4
4
2
4
4
4
4
4
4
8
8
8
0
4
4
6
2
2
8
0
0
4
0
0
32
32
0
0
0
16
2
6
0
8
8
5
5
2
16
0
32
32
1
16
48
0
16
20
0
0
0
0
16
16
32
32
32
32
32
0
4
4
8
16
1
0
2
2
2
2
2
2
32
32
32
0
0
0
8
8
8
8
8
0
0
8
12
16
8
0
0
0
0
0
0
0
0
1
18
18
18
18
16
16
8
8
8
8
16
8
1
0
0
16
16
2
0
0
0
16
16
16
0
2
2
2
16
8
8
8
0
4
0
16
16
0
2
2
0
7
0
0
0
8
8
8
24
0
8
32
16
1
1
8
8
0
0
0
0
2
2
8
1
1
1
1
0
0
8
0
0
8
8
8
0
0
8
8
8
32
8
22
32
32
0
16
16
16
16
16
2
0
0
0
8
5
8
11
11
16
0
0
16
16
8
8
16
8
8
0
8
8
8
4
4
0
8
8
8
8
8
8
0
0
11
0
0
33
8
8
0
0
8
1
8
8
16
16
16
5
5
5
5
6
6
0
5
5
16
8
32
32
32
0
0
0
0
0
0
0
0
0
0
0
0
4
16
16
16
16
16
16
16
41
4
13
13
13
4
8
8
8
1
8
0
2
18
18
18
18
0
0
0
8
2
2
2
2
0
0
0
0
4
4
4
8
8
0
0
16
16
17
0
0
16
16
0
0
8
0
16
0
25
25
0
0
0
0
0
8
0
0
0
0
0
0
4
4
0
0
8
8
1
8
8
8
0
32
32
32
32
8
4
4
4
8
0
24
16
16
16
8
1
0
8
16
16
8
9
32
6
6
6
48
4
4
0
0
8
8
1
34
0
0
1
1
0
16
16
1
1
1
1
1
1
24
16
0
0
18
0
4
4
4
0
28
28
4
4
0
1
1
0
8
8
0
28
28
0
16
0
0
0
0
0
8
16
0
0
4
4
4
4
0
16
16
16
0
0
0
8
8
8
8
8
4
16
16
16
16
16
16
8
22
4
4
4
0
16
12
8
8
0
0
0
8
8
0
12
0
8
0
8
8
0
16
24
24
16
2
16
0
4
4
30
30
2
0
24
24
2
2
2
0
8
8
16
0
4
16
0
0
0
16
16
16
4
4
4
1
1
4
4
1
1
0
16
16
16
32
32
8
0
1
1
0
0
0
8
8
8
8
8
0
8
8
0
0
0
0
4
16
2
6
16
8
8
11
8
11
11
11
11
11
16
0
59
59
12
0
1
0
0
9
9
0
8
8
8
4
4
4
8
8
8
8
8
8
8
8
8
8
8
8
2
8
8
8
8
8
2
2
2
20
20
20
0
16
8
8
8
0
0
16
16
16
16
16
16
16
16
8
24
4
14
0
16
0
0
0
8
8
3
8
0
0
8
16
16
16
0
0
16
16
0
0
0
0
0
8
8
8
8
16
16
16
16
4
4
4
4
4
4
4
8
8
16
0
8
24
17
16
12
12
4
0
0
8
16
45
8
8
25
25
8
0
2
2
2
24
0
8
1
1
1
8
0
0
0
1
8
0
8
2
8
8
48
0
6
6
24
2
0
1
0
0
0
0
0
0
0
0
0
0
16
16
16
3
0
4
32
32
8
0
0
0
8
0
0
0
0
0
8
8
8
8
8
1
1
8
0
24
24
32
0
8
0
8
8
4
8
8
0
16
16
2
16
16
8
0
16
0
8
8
8
8
1
8
8
2
8
8
32
16
16
16
16
16
16
0
0
0
0
0
1
0
0
1
8
8
0
8
0
0
0
16
4
4
4
4
4
4
24
24
26
2
2
2
2
2
8
24
8
8
0
1
16
9
16
3
3
16
48
48
0
0
16
0
8
0
0
0
0
24
24
24
0
0
1
8
8
8
8
8
8
0
0
0
2
0
0
0
0
4
0
0
0
0
12
16
0
8
4
2
8
8
0
0
0
0
0
8
4
4
16
0
0
2
8
8
0
0
0
0
0
17
40
40
16
16
16
16
16
1
0
16
25
52
1
1
1
1
1
0
0
0
0
0
0
1
8
8
14
16
26
26
26
20
20
24
4
0
8
0
8
16
8
1
1
1
0
0
8
24
8
1
1
8
2
0
0
0
16
8
8
0
0
0
8
0
0
0
0
0
8
8
0
0
0
0
8
8
8
24
24
8
8
16
16
16
16
16
8
0
0
16
16
16
16
4
4
4
0
8
8
16
16
16
16
0
0
8
8
16
8
8
8
0
0
0
8
8
0
0
0
2
2
0
0
13
8
8
8
0
0
2
0
32
32
32
0
16
16
25
0
0
0
0
8
8
4
8
8
8
4
4
0
0
0
0
0
0
0
0
8
0
0
4
0
8
0
0
0
0
8
0
0
4
4
20
16
16
8
0
0
0
20
20
8
8
8
24
4
4
4
4
4
33
8
16
0
8
18
8
8
8
8
0
8
42
16
16
8
8
8
8
8
0
0
0
0
3
4
4
4
16
16
0
0
0
0
4
16
16
0
0
1
25
9
16
8
8
8
1
8
8
9
1
8
2
8
2
0
16
0
0
0
0
2
16
0
16
13
1
8
8
2
2
32
1
4
12
8
16
16
16
12
8
8
8
8
24
24
18
24
16
16
0
0
16
1
8
0
0
16
16
16
4
4
16
16
16
0
8
8
8
8
1
4
4
0
4
4
0
16
16
20
0
8
0
8
16
16
16
16
19
16
0
0
16
0
4
4
8
8
8
8
9
1
1
16
2
2
2
2
17
9
9
20
0
1
1
32
4
20
20
1
16
16
16
16
0
0
0
0
0
0
8
48
48
8
9
8
16
16
1
1
1
1
4
12
12
12
6
8
8
16
16
0
0
0
4
4
4
8
57
4
4
4
0
8
0
16
24
24
0
8
8
8
8
8
4
0
0
0
1
8
0
9
8
8
0
0
16
0
0
2
0
40
40
40
8
8
8
32
0
16
16
24
24
24
24
0
0
8
2
8
0
8
8
0
0
0
4
4
4
4
0
0
0
0
8
0
0
8
8
8
8
8
1
1
2
0
8
16
16
0
0
0
0
8
24
20
20
20
0
1
1
1
8
13
13
0
8
0
8
8
0
8
8
8
24
8
0
0
8
16
16
0
8
0
13
8
0
0
0
9
0
8
18
18
16
16
0
0
4
0
24
4
4
8
0
0
17
8
8
2
2
2
8
8
16
48
0
0
0
8
16
0
6
6
6
16
0
8
8
8
8
8
4
4
16
4
4
4
4
4
4
10
0
16
16
16
16
16
0
0
8
8
9
8
12
12
12
12
8
0
0
0
0
0
0
56
56
56
8
8
8
8
8
8
8
8
4
16
0
0
0
0
16
1
0
16
1
16
8
0
0
0
0
0
8
16
0
8
8
0
8
0
8
0
8
4
18
24
0
8
8
4
4
0
0
0
0
8
0
9
0
1
2
10
0
0
8
0
0
0
8
16
16
16
0
16
16
0
0
8
0
0
8
8
4
2
2
0
0
0
14
0
0
8
32
32
22
21
4
0
2
18
2
2
2
2
2
4
4
0
0
8
8
0
1
8
41
41
41
0
0
8
4
8
8
8
8
0
0
16
0
0
0
0
32
1
2
2
16
16
1
1
1
8
16
0
4
0
0
8
8
8
8
16
16
0
4
8
8
0
8
24
16
24
24
8
8
16
8
16
8
8
16
16
16
18
18
18
8
8
8
0
0
8
8
8
0
0
28
6
0
0
8
8
0
0
0
0
16
0
8
16
0
0
0
2
2
2
8
59
59
42
10
17
2
13
0
0
0
0
0
14
14
14
14
0
0
0
0
0
0
0
0
0
0
0
0
10
24
24
24
0
8
8
10
10
0
0
0
0
0
6
14
8
0
0
2
14
16
0
0
0
8
16
16
0
0
61
61
61
61
0
0
0
8
8
16
8
0
24
0
4
4
4
0
4
16
16
0
16
8
8
16
24
8
24
24
1
16
16
16
16
16
16
8
0
8
8
8
8
8
4
4
4
16
16
4
26
26
61
61
8
2
0
0
20
8
8
24
8
9
9
0
8
0
8
2
0
12
12
12
0
16
16
0
0
1
24
0
24
24
24
24
24
24
24
24
24
24
24
24
24
24
24
24
24
24
0
0
0
0
0
0
24
8
8
8
8
8
0
0
0
8
0
16
8
8
0
0
0
0
16
8
8
8
8
8
8
8
8
0
0
32
32
32
0
0
0
0
8
0
12
0
0
4
4
0
4
12
4
4
1
1
1
1
0
1
0
0
16
0
0
0
16
4
4
8
8
8
8
8
8
4
8
2
2
2
2
9
9
0
0
0
1
8
8
8
8
16
16
8
8
0
0
4
8
1
1
0
0
0
8
0
4
4
4
4
0
0
8
0
0
8
0
0
16
8
0
2
8
4
4
0
0
0
0
0
0
0
0
0
0
0
16
2
18
18
0
4
4
18
18
2
2
16
16
12
8
0
2
2
1
1
1
4
4
4
44
44
18
0
0
0
4
32
0
4
16
16
16
8
17
17
17
0
0
0
8
0
16
8
8
8
12
8
0
0
0
24
8
8
8
0
0
0
0
8
8
16
2
8
1
0
8
1
8
8
4
8
0
1
1
1
1
1
1
1
1
2
16
4
8
16
0
0
8
8
0
0
25
0
1
0
8
40
8
20
0
16
16
16
16
8
0
16
16
16
4
4
0
0
16
0
0
8
8
16
17
8
8
8
0
1
1
16
8
8
1
4
8
16
16
8
1
0
0
0
0
25
0
8
8
16
4
0
0
0
0
16
8
0
0
0
28
0
8
0
8
0
29
1
8
2
16
16
0
0
0
0
0
0
0
4
4
4
4
0
16
4
4
4
24
24
0
0
0
0
12
16
0
0
16
1
1
0
0
0
0
0
8
8
8
8
8
8
0
8
0
0
0
0
0
2
0
0
8
8
24
24
8
8
0
0
0
0
0
0
2
0
0
0
8
8
0
8
4
8
8
8
0
0
0
0
16
16
16
16
8
8
8
8
0
4
0
4
1
0
4
4
8
1
4
4
4
0
8
0
0
8
12
0
2
9
25
25
16
0
8
8
8
0
32
32
16
16
16
16
16
16
16
18
18
18
8
8
0
16
16
16
0
4
24
8
0
0
16
8
16
16
16
0
24
24
24
0
0
16
16
0
8
16
0
16
16
4
0
0
0
0
0
16
1
8
8
0
0
8
8
8
8
8
8
8
0
0
0
0
0
8
9
9
0
8
4
0
0
0
0
1
1
0
0
16
8
20
4
4
4
0
0
17
17
0
1
9
32
0
16
0
0
8
8
0
8
2
16
0
16
0
8
8
8
16
1
1
0
2
21
21
8
40
16
4
1
1
4
2
2
2
2
8
8
8
8
16
16
2
0
0
0
8
8
8
0
0
4
0
0
8
8
0
8
8
8
16
8
8
0
0
0
16
16
18
52
0
16
8
28
8
0
8
8
8
8
8
8
8
0
27
27
27
27
27
16
1
16
16
16
1
4
4
2
2
0
22
4
4
4
0
0
0
0
8
8
8
0
16
0
0
36
32
6
0
8
16
16
16
0
8
8
0
38
38
4
4
4
4
16
34
0
8
0
2
0
0
0
0
2
0
1
1
1
16
16
2
2
2
8
0
2
16
16
1
0
4
8
18
8
0
0
0
16
16
16
4
4
0
0
8
8
16
16
8
0
8
0
4
4
8
24
16
4
8
16
16
16
16
16
0
0
0
49
49
49
8
8
0
8
8
8
10
2
0
8
8
24
0
0
0
0
0
4
4
0
2
4
16
16
16
0
8
8
8
16
12
0
0
0
0
2
0
0
8
8
29
0
0
16
8
8
8
0
0
0
24
24
28
0
0
9
9
9
8
8
0
0
4
4
4
8
4
0
4
1
0
0
32
4
0
0
2
2
2
2
0
0
0
0
8
0
0
0
0
0
0
32
32
0
8
8
4
4
0
2
0
0
36
36
8
8
24
0
8
8
8
8
8
8
8
8
8
8
8
4
4
4
0
6
0
0
1
0
8
8
8
8
8
0
16
0
0
0
0
0
8
4
4
12
12
12
32
32
0
14
0
0
0
0
0
16
0
8
0
0
0
0
0
8
0
0
8
32
0
0
0
4
4
4
4
0
0
0
0
0
0
0
16
16
16
16
16
16
0
16
16
8
8
8
0
2
17
17
17
0
0
16
0
0
0
16
16
0
9
8
0
0
0
1
26
26
16
0
8
8
8
16
0
9
0
0
0
0
0
4
4
0
0
0
0
0
0
0
18
18
0
2
60
60
60
0
12
4
0
4
4
4
8
8
16
8
1
0
16
16
1
16
16
8
0
4
0
8
16
16
8
8
1
0
4
4
0
0
0
0
0
16
0
8
0
16
0
0
17
17
17
16
16
4
4
23
23
8
24
8
1
1
1
8
16
8
8
8
8
4
4
0
1
0
8
8
16
24
4
4
0
0
0
34
2
2
2
2
2
2
0
0
0
9
0
0
20
0
0
0
4
8
8
24
4
4
4
0
0
0
0
2
0
0
14
15
8
2
2
0
0
0
0
0
8
8
8
8
8
28
8
16
8
16
0
8
8
8
8
6
6
0
0
0
12
12
11
11
0
2
2
16
16
16
0
0
8
16
2
0
0
0
0
8
8
8
8
16
16
0
2
2
16
16
0
0
0
0
0
8
0
0
16
16
0
2
2
1
18
18
2
0
0
10
0
9
9
22
22
22
8
8
8
8
8
8
0
0
0
0
8
8
8
0
0
0
16
16
16
16
16
16
8
0
1
1
0
0
56
56
25
25
17
16
0
0
16
0
0
0
0
0
0
0
0
0
0
16
16
16
16
16
0
8
1
4
4
32
0
16
8
8
8
0
1
0
16
16
16
16
16
16
8
8
8
0
12
0
10
10
8
0
2
10
8
59
8
24
24
24
0
0
28
4
0
0
8
8
8
3
0
37
37
8
0
0
8
0
0
1
8
4
0
0
4
4
2
0
0
0
0
8
0
16
16
16
16
0
0
16
16
0
8
0
0
0
0
0
0
0
0
16
1
16
0
0
0
8
12
1
1
8
8
8
0
16
16
16
8
8
4
9
9
0
0
12
0
0
8
16
16
16
16
16
16
16
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
27
27
0
8
0
4
2
8
0
1
1
1
8
8
8
8
8
8
8
0
8
8
8
0
0
4
0
4
4
4
4
0
8
16
16
16
8
8
8
25
0
0
0
0
0
8
0
0
0
8
8
4
2
8
0
4
8
8
16
8
0
12
8
0
0
16
16
16
0
0
0
8
8
0
0
0
16
16
16
0
0
0
4
16
0
8
8
8
0
0
4
16
16
17
4
4
16
16
16
16
16
4
0
8
8
32
8
0
8
16
0
0
0
8
16
8
0
16
16
16
0
1
8
12
20
4
4
0
0
0
4
4
4
0
2
2
8
8
0
8
2
8
0
0
1
1
0
8
16
24
16
0
0
0
0
0
16
0
4
4
8
8
8
16
4
1
0
0
0
16
1
16
16
16
0
1
1
1
8
0
0
1
1
8
0
0
0
20
16
16
8
0
0
16
0
0
0
8
0
2
8
12
24
4
0
8
16
21
24
24
0
0
0
0
8
0
0
8
8
1
1
2
0
2
0
0
0
8
4
4
9
9
9
18
0
0
0
8
0
0
0
8
8
1
4
0
2
8
0
0
0
16
16
16
2
2
2
2
0
6
16
16
0
0
0
16
16
8
8
8
16
16
0
32
0
16
8
4
4
4
4
16
16
16
16
2
8
8
8
8
7
0
2
12
2
2
2
2
0
4
16
16
0
0
8
1
1
2
16
16
2
2
16
4
8
8
0
8
8
31
16
8
8
4
19
0
32
0
8
16
0
0
8
0
0
0
22
4
16
8
8
24
0
16
2
18
0
4
4
2
8
0
0
16
16
0
0
8
9
8
8
0
8
16
16
8
0
16
16
2
2
8
8
0
8
8
0
0
0
16
12
16
16
0
0
8
8
8
16
0
0
8
8
8
0
0
0
8
0
0
8
8
8
16
8
0
0
8
16
20
8
0
0
0
0
0
8
8
4
0
0
2
0
0
2
26
26
0
24
16
8
16
16
16
8
8
16
0
0
4
4
16
0
16
8
6
6
22
0
8
8
16
16
24
16
8
28
28
24
24
0
8
8
0
0
0
0
0
0
8
8
8
8
8
16
8
0
16
1
0
8
8
8
4
0
0
0
0
45
45
45
4
0
2
1
0
17
17
16
18
16
16
8
0
0
16
16
16
16
0
16
0
16
32
8
8
20
4
0
0
0
8
8
8
0
0
8
8
8
8
8
4
0
0
9
8
16
16
16
16
16
16
16
8
4
1
1
8
0
0
0
0
0
0
38
38
8
8
8
8
8
4
0
0
8
8
8
8
4
8
8
4
2
2
1
8
8
8
8
0
1
1
16
16
0
0
16
4
0
14
0
8
4
32
0
17
0
1
8
8
8
8
8
0
16
8
0
0
0
16
16
16
0
1
1
1
0
8
0
8
32
16
8
8
32
32
32
8
8
8
8
0
8
24
4
4
4
2
0
0
0
16
16
16
0
0
8
8
8
8
0
8
0
0
0
0
16
0
0
16
16
8
8
0
16
0
9
0
0
0
0
0
0
0
0
8
0
0
0
17
1
1
1
16
16
0
16
4
0
14
14
0
2
2
8
2
2
0
0
0
0
4
8
8
8
8
8
8
16
16
8
8
0
16
0
21
1
1
1
0
8
0
0
0
0
0
0
4
0
0
0
0
0
0
24
0
0
8
20
16
4
0
8
0
0
8
1
1
0
24
0
0
0
16
16
4
4
0
8
0
0
1
1
1
1
1
0
0
0
4
4
4
20
16
0
8
4
4
0
0
0
0
0
0
8
8
8
1
0
0
0
8
8
8
8
8
1
0
0
0
4
8
16
16
24
48
16
2
0
16
29
1
1
0
8
4
0
0
4
4
24
8
8
8
0
0
0
2
1
0
0
17
17
0
0
26
20
4
16
16
16
8
8
8
8
8
16
2
2
0
0
0
18
16
8
20
20
20
20
0
0
0
0
8
5
1
17
4
0
0
0
0
0
8
8
16
2
18
2
8
0
0
0
16
16
1
0
0
24
8
25
8
0
0
18
8
0
0
8
16
16
8
8
8
0
0
1
5
7
5
5
8
0
0
0
1
0
4
0
8
16
16
1
24
4
1
1
8
8
8
8
1
0
0
0
0
0
0
0
0
0
8
8
8
0
16
2
4
24
4
4
8
8
16
0
0
0
8
8
8
24
24
24
24
24
24
8
8
8
8
0
0
8
8
16
0
0
16
16
0
0
0
8
0
0
4
0
0
0
0
8
8
8
16
0
16
16
16
0
0
8
0
0
2
2
0
18
4
0
16
8
8
4
8
1
8
0
0
0
8
8
8
0
0
0
0
2
4
4
20
20
20
8
0
0
0
0
0
0
0
0
0
0
0
2
2
1
1
0
0
0
0
40
40
1
8
8
10
10
1
16
48
0
0
2
2
0
0
0
0
0
0
8
0
0
0
0
0
8
1
1
1
0
0
8
8
8
0
0
0
16
16
4
4
0
40
40
0
0
0
0
0
4
8
8
8
0
0
0
16
8
0
0
0
8
2
17
8
8
8
0
0
0
0
16
16
16
16
16
28
24
1
8
0
16
16
0
1
1
1
8
2
0
0
0
20
24
24
4
16
16
16
2
8
8
8
8
16
16
1
1
0
32
32
32
0
0
0
0
0
12
8
8
16
8
16
8
16
32
0
0
0
0
0
16
0
8
8
24
0
0
0
0
0
0
0
16
16
8
8
8
16
0
0
1
8
0
0
0
0
2
2
1
16
8
8
8
0
0
4
4
8
0
0
16
0
8
0
0
0
0
0
0
8
0
0
16
0
0
8
8
8
8
8
8
8
0
4
4
0
0
0
0
8
8
0
22
20
16
0
0
0
8
16
0
0
0
16
0
32
0
0
0
0
4
4
28
8
8
48
0
16
0
0
0
0
8
0
50
48
0
0
0
0
4
4
8
8
0
8
8
8
4
0
0
0
0
0
2
2
0
0
16
0
12
0
0
4
4
0
0
8
0
0
1
1
8
0
0
4
0
0
0
0
17
8
16
16
16
8
8
8
8
0
19
19
19
0
0
0
8
0
0
2
16
16
16
0
16
0
0
0
0
0
0
16
0
16
25
8
8
8
16
0
0
0
0
0
8
8
2
2
0
0
0
8
16
8
0
4
0
16
4
0
0
8
8
0
0
0
0
8
0
16
16
0
0
16
2
2
0
0
0
0
0
0
0
0
48
48
48
48
48
0
0
24
0
4
4
4
16
16
10
0
16
0
24
0
16
16
0
0
0
0
0
0
0
0
2
0
8
8
8
8
8
0
0
0
20
0
0
24
0
4
1
1
16
0
0
8
0
0
0
0
0
16
16
0
1
8
8
8
8
8
8
8
8
0
0
8
2
0
1
1
1
1
0
0
0
0
8
0
0
0
0
44
4
4
0
0
0
0
16
8
8
8
0
32
32
32
32
16
24
0
0
0
4
4
4
8
8
0
1
1
1
17
8
8
0
2
2
4
0
16
16
0
0
8
8
8
8
8
8
16
16
16
0
0
56
24
24
16
24
24
24
8
24
24
24
1
0
10
12
24
8
0
8
0
2
4
4
0
4
8
8
0
0
0
0
8
8
0
2
0
0
1
4
4
16
12
0
0
0
5
0
0
0
0
4
4
8
8
32
16
16
16
16
0
0
0
0
0
32
8
8
8
8
8
24
8
8
0
4
4
8
8
8
0
16
0
8
16
9
9
9
20
8
0
0
8
8
2
2
2
0
0
0
8
8
8
16
0
16
0
8
8
8
0
0
0
0
8
24
16
0
1
1
0
0
0
16
16
0
0
8
8
8
8
18
0
0
0
0
0
8
8
8
32
2
16
16
0
0
0
0
12
8
0
8
8
8
8
8
8
8
4
4
16
0
0
52
0
0
8
0
0
0
0
8
8
8
20
16
8
0
20
20
20
8
16
8
8
8
8
8
8
0
0
0
4
4
4
4
18
18
8
8
1
0
16
16
16
0
1
5
2
2
2
8
0
8
16
16
4
4
8
16
16
8
0
0
4
4
10
10
8
0
8
0
0
0
8
1
1
1
8
0
8
0
16
8
0
0
0
8
8
8
8
8
8
0
0
0
0
1
16
8
8
8
0
16
8
0
8
0
0
4
0
0
0
16
16
0
0
0
0
2
0
16
0
0
8
0
0
16
0
24
24
4
8
4
9
8
8
16
0
0
4
4
32
0
8
0
0
32
8
8
0
0
8
8
8
0
8
1
1
1
1
0
16
0
0
0
0
0
0
0
0
0
0
4
0
0
6
16
16
16
17
4
2
2
2
0
8
8
8
16
0
0
8
10
10
0
8
2
2
8
2
4
4
1
8
4
16
16
16
0
0
0
16
16
8
1
0
0
4
2
0
0
0
0
0
16
16
0
0
8
8
8
8
8
16
16
20
0
2
8
8
0
8
0
32
2
0
0
0
4
8
8
8
0
8
16
1
0
0
22
0
0
8
8
0
0
8
1
1
1
0
20
0
4
4
4
4
2
8
8
8
35
16
16
16
16
8
8
8
8
0
16
16
16
16
16
16
0
4
0
8
8
8
8
11
0
0
8
33
1
0
0
0
28
0
0
8
16
1
1
16
0
0
4
0
0
0
8
8
0
0
8
8
24
12
12
8
8
8
16
16
8
8
0
0
16
0
0
0
0
16
0
1
1
1
8
8
8
8
0
0
0
0
0
0
0
0
4
4
4
8
8
0
1
0
24
0
2
0
0
16
16
16
2
2
8
8
8
16
0
16
16
0
0
48
8
8
8
8
8
4
0
16
0
6
6
6
0
0
24
24
0
0
16
4
8
8
13
13
13
13
8
16
32
48
16
8
0
0
8
2
26
26
0
0
0
0
0
2
0
0
0
0
16
16
16
2
8
16
16
16
16
22
22
22
8
8
0
24
24
8
42
16
0
0
0
5
0
4
8
8
0
0
33
0
0
0
16
16
24
16
16
16
16
8
8
8
16
4
4
16
0
32
0
8
10
8
8
8
16
0
8
8
0
0
0
7
0
0
2
1
1
8
8
8
4
8
8
8
20
0
0
16
24
24
24
0
0
0
16
16
0
0
0
1
0
0
8
0
0
0
0
2
8
24
8
16
43
43
0
1
0
8
8
0
16
28
28
56
20
16
0
0
1
1
1
16
16
8
16
16
0
0
0
0
3
16
16
16
16
16
16
16
16
8
8
8
8
25
2
2
2
0
4
0
24
8
8
8
8
0
8
8
0
2
0
8
8
8
8
8
16
8
4
4
4
4
4
4
0
16
24
16
16
16
0
8
8
0
0
16
8
8
0
8
8
1
0
0
0
8
0
0
0
16
0
3
3
61
4
4
0
0
0
0
0
0
8
8
8
8
8
0
8
0
0
0
0
1
8
0
8
8
8
0
16
8
0
2
0
0
8
0
0
16
16
4
8
16
0
8
8
0
4
4
4
8
8
28
5
5
0
0
1
0
0
0
0
0
0
0
8
2
0
2
8
8
0
28
0
8
0
0
8
0
0
0
0
16
0
0
0
4
6
16
16
8
8
0
0
0
4
0
8
8
28
4
8
8
8
0
9
4
4
4
4
4
4
4
8
8
8
8
8
8
4
0
0
4
4
0
8
8
2
18
0
17
1
4
0
0
0
32
16
0
0
0
4
0
0
8
16
0
8
0
8
0
0
0
0
0
0
0
0
1
0
0
24
24
24
24
16
16
0
0
0
8
8
8
8
1
1
1
1
1
1
1
1
8
8
0
16
16
18
0
0
0
0
0
0
16
0
14
48
16
16
16
16
16
0
8
0
4
4
16
0
0
4
0
16
16
0
16
8
8
8
4
24
24
8
16
1
16
1
8
8
0
0
0
0
24
8
8
2
0
0
0
0
0
0
0
0
16
0
0
32
24
2
0
0
8
8
4
8
0
1
1
8
8
16
2
2
0
1
1
16
2
0
0
32
0
0
0
32
0
0
0
8
0
16
0
8
0
0
0
0
0
0
1
1
1
0
0
8
16
0
0
0
16
16
2
0
0
8
0
8
8
8
16
16
16
8
0
0
0
0
56
32
32
8
8
0
2
16
18
0
0
8
0
0
24
24
1
0
16
0
0
0
0
30
0
26
26
26
26
1
0
2
8
4
4
0
8
0
0
0
0
0
4
4
4
0
8
2
0
0
4
4
16
0
10
10
0
0
0
0
0
20
0
1
4
0
0
8
8
8
0
8
4
0
4
0
8
32
32
0
4
16
16
0
8
0
0
0
0
4
0
0
0
0
8
8
0
8
16
0
16
0
16
16
16
0
8
0
8
8
8
0
12
0
18
1
0
0
10
10
4
0
0
8
8
8
8
8
0
8
4
16
24
24
0
0
0
12
1
24
0
0
0
1
1
8
2
10
1
0
1
16
16
16
0
0
0
48
48
48
22
0
0
16
1
1
12
12
12
16
4
16
16
8
6
1
1
0
0
49
49
8
1
8
8
28
0
0
2
16
16
16
0
0
8
8
16
0
0
4
8
12
48
16
8
4
4
4
0
4
0
0
1
1
0
1
0
0
0
16
16
16
16
4
8
16
16
20
4
0
12
24
0
32
0
1
8
0
0
16
1
8
8
8
8
8
8
1
16
0
0
0
16
8
0
0
16
0
0
16
8
8
0
0
8
16
8
0
0
8
0
0
0
8
8
8
8
8
8
8
8
8
0
0
8
0
16
0
8
0
0
4
4
4
4
0
1
0
0
0
31
0
0
2
2
2
0
0
0
0
0
8
8
24
8
0
0
0
0
10
10
0
4
0
16
16
17
0
0
17
8
16
0
0
0
16
16
8
24
8
0
0
0
24
0
8
1
0
0
2
0
32
32
0
0
8
0
8
6
8
0
0
0
0
0
0
2
2
24
8
0
0
24
21
32
32
8
8
0
24
0
8
8
8
24
0
0
8
0
0
0
0
16
0
0
4
0
0
0
8
0
0
0
0
0
8
0
0
0
4
16
16
0
36
8
0
0
16
16
0
25
0
0
0
0
0
24
24
0
0
0
0
0
17
0
4
0
8
8
8
9
9
24
4
4
8
16
0
0
8
2
2
16
16
16
16
16
16
0
8
16
16
16
24
16
0
0
0
0
8
8
16
8
20
32
8
40
8
16
16
16
0
0
0
0
1
1
0
0
4
8
8
0
0
0
8
16
24
0
4
24
0
0
0
0
16
0
0
0
0
0
0
0
12
16
0
0
1
16
16
17
17
4
0
0
0
0
0
0
4
2
2
3
3
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
20
16
0
8
8
16
16
16
26
26
0
0
0
0
0
0
8
8
0
9
9
1
1
2
29
29
29
4
4
0
0
0
4
0
8
0
8
0
0
16
0
8
16
0
0
48
0
8
0
0
0
4
4
0
0
1
1
0
17
16
0
16
16
8
8
16
0
8
0
0
0
0
0
1
0
1
0
0
8
16
0
9
9
8
16
16
0
0
0
0
0
0
0
16
16
8
0
0
4
0
0
0
0
0
0
0
0
24
20
20
1
20
4
4
0
16
0
8
1
1
1
8
0
0
0
4
0
0
0
8
8
1
0
8
8
16
2
0
0
24
24
1
1
1
16
16
17
17
8
0
0
0
0
0
0
0
0
16
16
0
0
8
8
8
4
8
0
8
36
36
0
0
12
0
0
0
8
16
1
1
0
0
0
0
0
2
8
1
0
16
18
16
16
16
16
1
4
0
0
0
0
0
2
16
16
1
8
8
0
8
4
20
0
0
0
2
4
4
4
0
0
0
0
0
0
0
0
4
1
16
0
0
0
12
8
8
1
4
0
8
8
8
0
8
8
4
4
0
0
0
6
0
2
4
4
4
0
0
9
0
0
0
0
4
16
16
10
10
8
8
8
0
32
32
1
8
8
2
2
2
0
0
0
16
16
25
2
34
0
17
8
0
0
0
16
0
8
8
0
8
0
8
0
0
0
0
0
0
4
4
8
8
16
17
8
32
32
8
8
16
16
0
0
0
8
8
32
8
16
0
0
0
16
16
8
8
8
1
1
32
32
0
0
0
0
16
16
16
0
12
12
0
0
12
8
8
16
16
16
16
0
8
0
8
8
0
0
0
21
21
0
2
4
4
24
0
0
8
0
8
0
0
0
0
0
0
5
5
25
0
8
0
16
16
16
0
0
8
8
8
0
0
0
0
16
16
0
8
8
8
0
0
0
0
8
8
1
0
0
0
0
0
0
16
16
8
8
8
35
24
24
24
3
8
8
8
0
0
0
0
0
0
20
20
8
16
4
14
0
0
0
5
0
0
2
8
8
0
0
0
16
4
8
8
19
19
0
0
16
17
0
0
16
16
8
0
8
0
0
0
0
8
8
0
0
0
24
8
8
8
8
16
16
0
0
0
0
2
0
9
0
1
0
0
0
0
0
0
4
8
0
0
0
0
0
0
0
16
16
16
0
16
0
0
0
0
8
0
24
48
0
1
1
16
0
0
0
0
0
0
1
8
8
9
0
0
24
0
0
0
0
0
0
0
0
0
0
0
58
58
0
0
0
0
0
0
32
32
32
8
0
16
16
16
16
16
8
0
8
0
8
0
0
0
0
8
4
4
0
0
1
0
0
0
0
16
8
8
0
2
2
0
0
0
0
0
0
6
8
8
0
16
1
8
0
0
0
0
0
1
1
0
2
2
8
8
8
8
8
0
0
0
0
0
8
26
0
0
0
0
0
0
16
0
0
0
2
2
2
16
16
1
1
1
0
0
0
0
16
16
16
8
0
25
0
0
0
8
8
8
8
8
0
8
4
1
33
1
35
0
8
0
0
0
24
24
8
8
0
0
0
0
8
8
1
0
8
8
8
8
8
0
0
16
0
0
0
0
4
8
8
18
12
0
1
1
1
0
0
0
0
0
0
0
24
8
8
8
8
8
8
8
16
16
2
2
0
1
9
1
1
32
32
0
1
0
24
1
2
2
0
16
0
0
0
0
0
0
32
32
17
17
0
0
2
0
0
0
0
0
0
4
4
0
16
18
0
2
8
8
8
8
8
8
0
0
8
24
8
8
8
4
8
0
0
40
40
40
32
0
2
2
2
25
4
4
4
0
8
24
16
8
8
8
8
8
8
8
8
16
0
16
16
16
16
0
2
8
2
2
2
0
8
4
0
0
4
0
20
16
16
8
9
5
0
8
1
0
8
16
0
49
8
4
4
4
0
0
0
20
0
10
0
0
0
2
8
8
8
0
0
0
16
0
0
0
4
0
0
56
56
56
56
11
11
4
8
2
2
2
0
0
0
0
0
0
0
0
48
0
0
24
0
0
24
8
17
16
16
8
8
8
22
1
8
8
4
0
16
8
4
0
8
0
0
0
8
8
8
0
0
0
8
8
0
0
0
8
8
0
0
0
8
8
8
8
12
0
0
4
4
0
0
0
0
1
1
0
0
16
16
16
1
0
0
0
0
0
8
8
3
16
16
0
16
8
8
0
0
4
0
16
16
8
0
8
8
8
2
2
3
0
0
0
0
12
16
0
0
8
8
8
8
0
0
18
0
8
8
0
8
8
0
0
16
0
0
0
4
0
2
8
0
16
4
16
2
0
2
0
0
32
16
0
8
0
0
8
8
8
4
0
0
0
0
4
4
4
8
0
0
0
0
0
10
8
0
0
1
4
4
0
8
0
4
0
16
31
0
0
1
1
0
0
0
24
24
0
0
0
0
2
2
2
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
4
16
8
8
8
8
0
8
0
0
0
0
0
0
0
0
0
0
8
0
1
0
0
0
16
16
16
0
0
16
0
1
1
1
8
0
4
4
0
24
24
8
4
4
29
17
18
18
18
2
2
0
0
0
32
0
0
16
18
0
0
0
0
8
0
16
0
0
0
0
0
28
4
0
0
0
0
5
5
5
5
0
0
0
32
16
16
16
2
2
14
8
0
16
16
16
16
2
2
2
2
2
0
0
8
8
8
24
8
8
1
4
10
17
0
8
8
8
4
4
8
0
0
0
0
0
0
0
8
12
8
8
0
2
16
24
8
8
8
8
0
0
2
2
2
0
4
1
1
0
0
16
0
0
0
16
8
2
2
8
0
8
8
8
16
16
16
4
4
16
17
17
4
0
0
0
0
0
0
0
8
0
0
0
16
8
0
8
0
2
0
0
0
16
8
8
8
8
32
32
0
0
0
0
0
17
0
4
16
16
16
0
16
0
0
0
1
0
0
0
0
0
0
0
0
8
0
9
8
0
0
0
0
0
0
8
16
16
17
0
16
0
0
8
8
0
0
9
16
16
1
1
16
0
8
8
8
0
8
0
0
4
16
0
0
0
0
16
16
16
8
0
0
0
2
16
0
16
8
4
6
0
8
8
1
1
4
4
4
4
16
16
0
4
4
4
4
4
4
4
4
0
0
4
16
0
0
9
32
8
34
0
8
17
0
0
2
0
0
0
0
0
0
0
4
4
2
8
0
8
0
0
0
8
0
19
16
0
1
25
25
25
0
2
8
8
0
8
8
0
0
0
0
16
16
16
16
8
8
0
0
1
0
25
8
24
12
0
0
6
16
0
0
0
0
8
8
2
2
2
4
8
0
0
0
0
0
4
8
16
16
0
2
2
1
0
0
0
8
8
0
0
0
24
16
32
2
0
0
0
0
0
0
4
4
8
16
0
0
25
25
16
8
0
0
12
12
12
0
4
4
4
8
0
0
24
8
8
0
0
0
16
16
50
16
0
0
8
8
0
0
0
16
53
0
0
0
0
0
8
0
0
0
1
2
0
1
1
16
0
8
8
0
0
0
0
0
16
0
0
0
4
4
0
0
4
8
8
8
8
0
4
0
0
0
16
16
8
8
8
4
4
0
0
8
2
2
2
0
0
8
0
0
0
0
32
0
57
57
4
2
16
16
2
0
8
8
8
8
8
8
16
0
0
0
1
0
0
4
4
4
0
0
0
0
1
1
0
0
16
16
8
16
0
0
0
0
8
8
0
0
8
8
8
8
2
0
20
16
8
24
4
8
3
0
0
16
0
0
0
0
2
4
8
8
0
0
8
30
30
16
16
16
4
8
8
8
8
0
0
0
0
8
0
0
16
8
8
8
16
1
1
4
16
4
0
40
32
16
16
16
0
0
0
0
0
0
0
2
0
18
16
16
16
20
16
0
0
8
4
16
4
4
8
16
8
20
16
16
0
0
8
24
8
2
3
3
3
3
24
24
0
4
16
16
8
10
0
0
0
0
0
0
0
20
20
20
8
8
8
0
0
0
0
8
0
0
16
4
0
16
16
17
17
1
1
16
0
16
16
16
0
0
0
4
1
1
1
1
1
8
24
0
0
0
0
0
0
8
8
8
1
0
8
8
0
8
8
0
0
4
8
8
8
0
16
0
4
4
8
8
0
0
0
0
16
8
0
0
8
8
8
8
0
0
0
28
0
0
0
8
16
16
8
24
0
0
0
0
0
0
8
1
4
4
4
4
4
1
9
1
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
22
20
2
0
0
4
16
8
16
0
0
8
32
8
8
0
0
0
8
8
8
0
0
1
1
1
1
1
32
32
0
16
16
16
16
8
8
8
16
16
16
26
16
24
8
0
8
0
8
0
0
0
0
8
12
4
24
24
0
0
0
0
0
0
0
4
8
8
0
28
28
0
8
0
8
8
0
0
0
8
8
8
0
0
0
0
0
0
16
16
16
16
0
0
27
27
8
8
8
2
0
0
8
8
8
24
16
8
44
0
0
0
0
0
0
0
8
8
34
2
0
0
8
8
1
0
8
8
8
8
8
0
0
0
0
16
0
4
0
28
0
0
8
8
1
1
8
16
8
0
0
0
1
4
2
0
0
0
32
32
0
0
4
0
0
0
0
0
0
0
16
8
0
16
8
0
0
8
8
0
0
8
0
0
16
8
8
0
0
0
0
0
32
24
0
16
8
8
0
0
0
24
8
8
0
0
4
4
4
24
0
0
32
16
16
0
40
8
0
0
3
3
16
0
0
8
16
16
8
0
0
8
0
8
0
8
0
8
33
0
0
0
8
8
0
17
0
0
4
0
0
26
16
16
0
0
0
0
0
0
0
0
41
8
8
28
1
0
0
0
10
10
0
4
0
0
0
41
1
8
0
1
0
0
0
6
0
0
2
0
0
0
0
12
12
8
16
16
0
0
8
8
16
16
17
0
0
0
24
0
0
0
0
8
8
8
8
2
2
0
0
0
0
0
0
0
0
0
2
8
8
8
8
8
0
0
8
8
4
0
0
0
0
8
8
48
48
56
48
0
0
0
0
0
0
4
0
16
0
16
16
16
8
16
0
1
12
12
0
0
0
0
0
36
36
36
36
0
0
16
0
0
0
16
0
0
0
16
12
12
28
28
8
0
9
2
2
8
16
8
13
16
0
16
24
0
0
16
0
0
2
0
0
0
0
0
0
0
8
8
4
4
2
16
8
8
8
8
0
0
0
16
48
0
4
0
0
8
8
0
0
16
16
16
0
16
16
0
0
1
0
0
0
0
2
8
0
0
0
0
8
8
16
16
0
16
24
24
24
24
0
0
0
4
2
2
1
0
8
8
0
0
0
0
0
0
0
0
0
16
16
8
6
25
1
16
4
0
8
16
16
16
0
8
8
8
9
9
8
8
8
8
8
16
16
0
0
8
8
18
16
48
48
48
4
8
8
2
0
0
0
16
0
0
0
0
16
0
16
16
0
24
0
0
20
20
0
16
0
6
6
6
4
0
0
0
0
0
0
4
12
12
5
5
1
25
8
4
0
0
0
16
0
0
8
8
8
8
8
8
8
8
8
8
8
24
8
8
8
8
1
9
25
0
0
16
0
0
24
0
24
24
2
2
2
2
2
8
8
5
5
16
0
0
2
0
16
2
2
0
8
4
8
8
8
0
28
0
32
1
33
0
0
16
16
16
8
0
0
0
0
0
0
8
0
0
0
0
16
16
16
4
4
0
16
16
16
0
1
1
1
1
4
8
1
1
0
0
0
0
0
8
8
8
8
8
8
0
1
4
0
8
4
4
12
0
0
0
1
1
16
0
4
4
0
2
2
0
8
0
8
8
8
0
8
0
2
0
2
1
0
8
8
0
16
1
16
16
0
8
28
0
0
0
0
2
22
0
0
0
0
0
4
25
16
16
0
0
0
0
0
0
0
0
0
36
36
8
8
0
8
16
16
16
0
0
0
16
0
0
16
2
2
8
0
16
16
0
2
16
16
0
0
0
0
16
16
0
0
0
0
0
0
0
1
8
0
0
0
0
0
0
0
0
12
16
16
0
0
9
8
0
0
0
0
0
0
0
16
0
17
0
8
8
8
2
0
0
0
8
0
16
16
8
8
8
8
8
8
16
8
0
0
0
0
0
2
0
0
0
8
8
0
0
16
16
16
0
0
8
20
20
28
4
0
8
8
0
8
0
16
4
4
0
0
0
0
0
0
16
16
0
8
0
0
0
0
0
0
0
0
0
0
8
0
2
4
8
8
8
8
8
0
0
0
0
1
0
16
0
24
0
8
13
0
0
0
16
8
16
8
0
17
0
8
8
8
8
18
8
8
8
0
0
0
4
4
4
0
0
8
17
17
8
8
2
20
0
16
0
2
2
8
8
8
16
0
0
16
12
28
0
8
16
16
0
0
0
8
8
0
8
4
0
24
0
0
0
1
1
0
8
8
8
8
8
4
0
2
0
0
4
1
0
4
0
8
1
1
0
0
0
2
0
0
0
19
8
8
6
9
0
4
0
0
0
4
0
0
0
0
0
0
0
8
8
4
4
4
0
0
0
0
8
8
4
2
2
8
8
0
8
8
24
0
16
0
16
0
0
2
8
8
8
8
8
0
1
4
4
4
8
8
8
0
1
12
0
0
0
0
24
0
0
0
0
8
58
58
0
8
8
0
2
0
16
16
0
0
0
0
0
8
8
0
26
10
0
0
4
4
4
1
0
0
2
0
0
0
0
0
8
2
2
16
52
0
8
8
0
0
0
4
0
0
4
4
0
0
4
4
4
4
16
0
0
8
7
16
8
0
0
0
0
24
0
16
16
16
16
16
8
8
8
0
0
8
8
0
8
8
0
4
4
12
8
8
24
8
0
0
0
0
16
0
1
1
1
1
0
0
0
0
0
0
0
0
0
0
16
16
16
22
8
8
8
8
8
18
0
60
8
16
0
1
16
16
0
1
24
8
4
4
0
0
0
0
0
0
16
0
0
16
8
0
0
0
0
0
0
0
16
16
0
8
12
0
0
0
0
0
0
8
4
2
2
0
0
4
0
2
2
0
24
24
0
0
0
0
0
0
16
0
8
0
0
2
0
0
16
0
0
2
0
0
0
16
16
4
16
16
16
0
0
0
8
0
0
8
8
8
24
1
0
0
0
0
0
0
0
0
16
16
0
26
8
8
20
20
0
8
0
0
0
8
0
0
4
4
0
0
0
0
0
0
0
0
0
0
8
8
0
0
32
0
17
0
0
0
17
17
0
0
0
0
0
0
0
0
16
8
0
0
0
0
0
16
16
8
0
8
8
16
0
8
0
0
0
0
0
0
0
0
4
4
8
9
8
0
18
2
0
0
0
2
8
8
8
0
16
16
0
0
0
0
0
0
25
0
0
0
8
8
16
16
16
16
8
0
8
0
18
18
0
4
4
16
6
6
0
0
0
4
4
16
8
8
8
0
0
0
32
32
0
8
8
8
8
8
0
8
0
0
22
8
8
8
8
4
8
8
8
8
8
8
0
0
1
16
0
0
16
16
16
16
4
0
0
0
0
0
8
4
8
16
8
8
4
0
0
0
0
8
8
16
16
0
0
16
0
0
0
1
21
21
21
21
8
0
0
0
16
0
8
8
8
16
16
16
16
16
8
20
20
0
0
0
0
4
4
8
8
4
0
0
1
0
17
17
17
0
0
17
1
0
0
8
8
8
0
0
0
0
1
1
0
0
8
8
8
8
0
16
0
16
16
0
20
16
16
21
18
4
0
8
8
6
0
0
0
0
24
0
8
8
0
0
24
0
8
0
8
0
8
8
1
0
4
24
24
8
0
0
0
6
32
6
6
32
6
6
4
2
0
0
16
29
0
4
0
16
0
0
0
0
0
8
16
0
16
26
26
26
0
0
0
0
4
20
0
0
8
8
8
1
0
0
8
0
4
0
0
0
0
0
32
8
8
0
0
16
4
4
4
4
8
0
0
8
8
2
8
8
8
8
16
0
8
8
16
0
0
8
16
16
2
2
0
0
0
8
0
24
8
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
8
8
8
48
8
0
16
16
16
16
16
16
0
0
0
0
4
0
0
4
4
2
4
1
0
0
0
0
0
0
0
0
0
8
0
0
16
5
8
28
20
20
20
8
8
8
8
8
8
0
8
20
8
0
0
0
4
4
4
4
4
0
0
0
8
4
8
8
8
0
16
0
0
0
0
0
0
0
0
0
0
8
8
0
0
16
16
8
0
1
0
16
16
8
8
0
8
8
8
16
16
8
0
8
0
0
0
8
8
0
0
8
0
16
0
0
8
16
2
4
4
8
32
6
0
2
8
0
0
0
0
0
4
2
0
0
0
0
24
0
2
4
4
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
8
8
8
1
1
1
0
0
8
8
0
0
8
8
0
0
0
0
4
0
0
18
8
0
0
0
0
0
0
8
8
0
16
16
16
0
24
2
8
8
2
0
0
0
0
0
4
8
0
16
16
16
0
0
0
8
0
0
16
0
2
0
0
0
0
0
16
16
0
0
8
8
0
0
0
16
16
0
32
32
32
32
8
24
24
8
8
0
0
0
4
4
24
24
10
2
24
24
16
0
2
0
0
0
8
0
0
8
0
0
4
4
2
0
0
0
0
0
8
0
0
16
16
8
8
1
2
8
8
8
8
8
16
8
8
24
24
0
0
0
8
8
8
8
8
8
0
0
8
8
24
0
0
1
4
0
0
0
0
8
8
0
4
4
0
0
0
0
32
0
0
0
1
1
0
2
16
32
32
32
8
8
8
32
8
8
8
8
0
8
0
8
0
4
4
4
0
0
0
0
21
2
8
0
8
8
8
8
8
8
0
0
16
0
8
8
0
0
0
0
1
9
9
24
2
0
24
8
19
19
19
7
7
7
7
0
0
0
0
0
0
16
0
0
0
0
0
0
0
8
0
0
40
40
40
8
0
0
0
8
24
16
0
16
16
16
0
0
0
0
0
16
8
2
2
8
20
0
4
4
4
2
1
0
8
4
0
0
8
0
0
0
0
0
5
4
4
4
8
16
0
0
0
16
0
0
0
0
1
8
8
0
0
16
0
8
8
0
0
0
0
0
4
4
4
0
0
0
0
0
8
0
0
32
8
8
4
16
16
8
8
4
1
0
0
1
0
8
8
24
0
8
0
0
0
34
8
8
43
8
8
8
11
0
0
0
0
20
20
8
8
1
8
8
0
16
0
8
0
8
0
0
0
8
24
32
0
0
0
12
4
2
4
8
2
2
16
0
0
8
0
0
0
0
0
8
8
8
16
32
8
16
32
1
16
0
0
0
2
2
0
0
17
17
17
8
16
0
24
0
40
0
0
0
0
10
4
16
16
0
2
4
16
0
4
0
16
8
8
8
0
16
20
0
16
28
0
1
1
1
4
4
16
0
0
0
8
40
24
0
0
4
4
4
0
0
0
8
8
0
8
8
16
16
0
0
16
0
0
0
16
0
2
4
0
0
0
4
0
8
8
48
48
48
48
48
48
48
48
8
8
8
8
8
0
0
8
4
4
4
0
4
4
4
0
0
8
0
8
8
0
16
16
16
20
20
48
4
8
0
0
32
0
16
16
8
0
16
16
0
0
0
0
0
0
0
16
0
16
0
34
8
8
8
18
8
8
6
6
8
0
0
8
8
8
4
0
16
16
1
1
0
4
4
0
8
8
16
0
53
5
4
0
0
4
8
0
0
0
8
0
0
0
0
0
0
5
0
0
8
8
0
8
0
0
0
0
8
8
0
0
8
0
0
4
4
0
16
16
16
16
0
1
16
16
0
18
12
0
0
0
0
8
8
1
1
8
8
8
8
0
16
2
2
0
8
0
0
8
0
0
0
8
16
16
0
0
0
0
0
8
16
8
1
16
16
0
0
0
4
4
4
0
0
0
0
3
0
0
0
4
4
0
0
0
0
0
0
32
0
4
4
8
8
4
0
0
8
9
9
9
9
0
0
0
24
8
8
8
8
8
8
8
0
8
0
8
8
8
1
0
0
0
4
4
8
8
0
0
0
0
8
8
32
2
2
0
0
8
0
0
8
4
16
0
8
8
3
8
8
8
8
8
8
0
8
48
0
0
4
16
8
8
8
8
8
8
1
1
8
8
8
8
4
2
0
0
0
0
8
0
0
0
0
0
8
8
8
4
4
8
8
8
4
4
8
16
0
8
0
40
16
0
0
4
0
8
0
0
8
0
0
0
0
0
19
0
26
8
8
8
8
8
8
8
8
8
0
0
0
0
8
8
8
8
4
8
8
8
8
8
8
0
8
6
8
0
0
0
8
8
8
0
0
0
0
2
0
32
32
32
1
1
8
16
0
2
0
1
0
8
0
16
16
8
2
2
16
24
4
4
4
16
0
0
3
8
8
8
8
0
16
0
2
8
8
8
8
8
8
8
0
0
0
8
4
4
8
2
2
2
2
2
2
0
0
8
0
8
8
8
1
0
0
0
8
8
32
0
8
1
1
8
1
0
8
0
0
0
20
0
2
0
0
5
5
5
0
0
16
0
8
8
8
4
4
4
0
0
0
0
0
8
8
8
0
0
20
0
8
8
8
0
8
8
0
4
4
24
0
6
4
8
0
0
4
16
16
8
32
8
0
8
0
16
16
0
0
8
8
0
0
0
0
0
0
0
0
8
8
16
0
8
48
16
0
0
0
0
2
8
8
32
32
16
0
0
0
21
21
8
8
8
4
4
8
0
12
0
0
16
1
17
17
2
4
0
60
2
0
8
2
2
0
8
16
16
0
16
16
0
0
0
0
0
0
8
4
0
0
0
4
16
16
16
16
0
20
16
0
0
8
8
8
4
0
0
16
16
16
24
0
0
0
0
4
0
8
12
0
8
4
4
0
0
0
52
12
12
12
8
20
0
8
8
8
3
0
0
0
0
0
1
0
0
0
0
0
0
8
8
8
8
8
8
4
0
2
0
1
8
0
2
0
0
0
8
8
8
8
8
0
16
16
0
0
0
8
8
0
8
8
24
16
4
4
4
0
8
8
8
8
2
16
16
0
8
8
8
8
0
0
1
16
0
0
8
8
8
1
8
8
0
8
8
8
8
8
16
22
6
4
4
0
8
8
24
1
8
8
0
0
0
4
4
4
0
2
2
0
0
4
0
16
0
8
6
0
0
0
16
16
0
0
10
2
8
16
4
16
16
14
14
6
7
32
8
32
34
34
16
4
0
0
0
10
8
8
0
8
0
0
0
4
8
4
4
4
2
2
0
0
0
8
16
16
1
0
16
8
4
32
32
8
0
0
2
0
16
16
16
16
0
0
0
2
12
0
0
0
2
18
0
4
4
4
4
0
0
0
0
8
16
4
0
0
0
0
8
0
0
0
8
16
16
4
0
2
2
2
2
0
9
9
24
24
8
8
0
0
0
0
12
0
0
0
0
0
8
0
20
20
8
0
0
16
8
8
0
0
0
0
0
0
0
0
16
0
0
8
24
24
0
0
0
8
0
16
16
0
0
17
0
16
0
0
0
0
16
16
0
0
0
0
0
4
0
4
4
0
8
8
0
0
0
0
0
2
2
18
4
4
4
30
4
0
0
20
0
0
0
0
0
16
16
32
32
1
16
16
1
1
16
0
0
0
8
0
0
0
0
8
8
8
8
8
16
0
8
1
1
1
1
1
0
0
0
8
0
0
0
0
32
16
0
8
0
12
8
1
4
0
0
0
4
8
8
0
2
16
0
0
2
8
8
0
0
8
24
24
0
8
8
8
8
0
13
13
16
16
0
8
8
0
0
0
0
0
2
16
16
16
16
16
16
0
4
8
8
8
0
16
0
1
5
0
0
0
0
16
8
8
8
8
16
8
8
8
0
16
23
0
4
8
8
0
0
0
0
16
16
0
8
8
0
3
8
8
0
0
8
0
0
16
8
0
8
0
8
9
0
36
0
0
8
0
8
8
8
0
4
4
4
0
8
16
0
0
0
0
8
0
8
8
25
25
25
0
8
16
0
16
0
16
0
0
0
0
8
0
0
0
0
0
4
4
4
8
8
8
4
4
4
0
0
1
1
0
0
0
1
1
1
1
32
32
32
36
36
4
4
4
8
8
8
1
1
8
8
0
0
0
8
8
2
0
8
8
8
8
0
0
4
8
8
8
16
16
0
4
4
24
0
0
0
8
8
0
16
0
0
0
20
16
16
16
20
10
1
0
8
0
8
16
20
20
0
8
8
16
16
0
0
30
30
8
8
8
4
4
2
2
8
0
22
22
2
12
8
8
2
8
16
16
16
41
8
2
2
20
20
8
0
8
8
8
8
4
2
2
2
0
4
0
4
0
16
0
16
16
1
0
0
0
0
0
0
2
2
2
16
16
0
0
8
0
0
1
24
8
8
8
8
8
8
8
8
8
8
8
0
0
0
8
0
24
0
0
0
16
8
8
0
0
1
16
0
8
4
1
1
1
16
0
2
2
8
8
8
8
0
8
1
0
0
5
1
8
0
20
0
8
8
8
9
1
1
0
4
4
4
1
1
0
0
0
0
8
0
16
8
8
8
8
0
8
0
0
0
0
0
0
8
8
16
16
16
16
16
0
32
32
0
0
0
0
8
8
16
16
1
0
8
8
0
8
0
0
0
0
0
8
0
8
0
16
4
4
0
0
0
0
0
0
0
8
1
1
1
1
0
0
0
0
16
16
1
0
0
0
0
0
1
4
5
8
8
0
4
0
12
12
12
8
0
0
17
16
4
0
8
8
0
0
16
16
16
8
0
2
0
0
0
0
24
24
24
24
24
0
0
0
0
0
0
8
8
8
8
4
6
8
8
4
0
4
8
0
8
0
0
0
1
0
4
4
4
0
0
0
2
0
0
8
8
8
0
0
0
0
1
1
0
8
8
0
24
8
8
0
2
2
2
0
0
0
0
4
4
0
8
8
0
0
0
0
8
8
0
8
8
8
8
8
16
0
0
22
2
0
0
2
0
0
0
8
8
0
0
16
16
0
0
16
1
8
8
0
1
0
16
16
16
16
16
8
24
0
0
16
8
2
8
8
0
8
8
0
0
8
8
0
0
8
8
0
0
0
0
0
0
0
8
0
8
0
12
12
5
5
1
1
1
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
16
8
8
32
32
0
0
0
16
0
16
0
1
16
0
0
2
0
0
0
0
8
8
8
0
0
0
0
16
0
8
8
0
0
32
32
8
0
18
0
0
0
0
0
0
1
1
4
8
0
0
8
8
8
8
0
8
33
0
4
4
4
24
0
0
0
0
0
0
0
8
8
10
4
0
0
0
0
0
0
0
0
6
8
8
8
0
2
2
0
0
0
8
8
8
8
0
0
8
0
8
1
0
0
8
8
8
8
0
0
8
0
0
4
8
0
0
24
0
0
8
0
8
8
8
4
8
0
0
0
20
20
0
0
0
8
4
4
4
4
4
20
4
4
4
8
16
8
1
0
0
0
8
61
61
17
16
16
8
0
4
4
8
8
1
0
0
10
10
0
0
4
4
4
0
2
2
2
16
1
8
0
16
0
0
0
16
0
0
0
4
0
0
9
8
8
8
8
8
0
12
16
24
24
2
24
0
0
4
4
8
16
8
10
8
0
17
17
24
24
24
0
1
8
0
0
0
8
8
0
8
0
5
0
8
8
17
0
0
16
16
8
32
16
0
0
0
4
4
8
8
0
8
8
16
16
8
8
8
8
8
8
8
8
8
8
8
16
4
4
6
4
16
18
2
8
0
17
17
8
8
8
13
13
13
8
8
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
0
8
28
32
32
0
0
0
0
8
0
8
8
8
16
0
8
8
8
0
8
12
8
8
20
0
0
0
16
0
4
0
0
0
0
0
0
4
8
16
16
16
0
0
0
0
0
0
8
0
0
0
0
0
0
8
8
16
8
8
8
8
8
8
8
8
24
0
0
1
16
0
8
8
8
8
0
0
8
8
0
0
0
2
2
2
2
10
0
0
0
20
0
8
0
0
0
2
2
2
0
24
24
0
24
0
0
0
2
2
0
0
0
0
0
0
0
6
8
8
0
0
16
16
16
0
8
1
0
0
0
0
0
0
0
0
0
2
0
0
0
8
0
0
8
8
8
9
10
16
16
25
25
25
0
0
4
27
1
24
1
1
0
0
0
2
8
8
8
16
8
8
16
16
0
8
8
8
0
0
0
0
8
26
0
0
1
0
0
0
0
0
0
0
0
0
8
8
8
8
8
0
2
2
16
16
16
0
10
2
0
0
0
0
0
0
8
0
0
2
4
5
16
20
0
0
0
0
0
0
16
16
8
16
0
0
8
1
1
0
0
0
0
0
0
0
4
4
0
0
8
8
0
0
8
8
4
0
1
1
16
16
16
8
2
0
0
0
0
0
0
0
16
16
2
8
0
16
12
8
8
8
0
0
0
0
0
0
0
32
32
16
2
8
1
0
8
0
0
0
0
0
4
16
16
8
8
8
0
0
16
8
0
0
0
0
8
2
2
4
4
0
4
0
16
0
0
0
8
0
0
0
0
0
0
0
0
16
16
16
0
0
0
8
0
8
1
0
8
0
0
8
0
0
2
2
0
0
24
24
24
8
8
8
8
4
0
8
0
8
16
1
16
16
16
16
0
0
4
4
16
16
10
8
8
8
0
0
0
0
0
0
4
4
0
8
17
17
0
0
24
24
8
8
0
0
0
0
1
6
8
2
0
20
8
0
0
4
4
0
0
4
3
0
0
0
24
0
8
4
17
0
0
0
8
8
0
8
8
8
0
2
0
16
16
0
0
7
4
0
4
8
40
40
0
0
0
0
0
0
8
16
0
16
16
0
0
0
0
0
0
8
8
24
48
1
0
16
14
14
16
16
16
16
16
0
0
18
0
0
8
8
8
0
0
16
0
0
0
0
0
0
8
8
8
0
0
16
16
1
0
0
0
1
1
1
1
1
8
8
0
0
20
20
0
0
8
8
8
8
16
4
9
9
2
2
2
2
28
8
0
0
0
24
2
2
2
2
2
2
0
8
8
16
8
16
8
8
8
1
1
1
1
0
16
19
0
0
16
16
24
8
8
0
16
0
0
0
0
8
8
8
0
8
4
0
0
0
0
4
4
16
8
3
3
8
8
8
0
0
0
4
8
8
16
8
0
0
32
32
0
0
0
0
0
0
0
28
24
8
0
0
0
0
0
1
16
8
0
0
0
0
0
0
4
4
8
24
2
2
0
0
8
0
8
16
16
16
16
0
8
0
0
0
8
0
0
1
1
8
8
16
16
8
0
8
8
0
8
16
9
9
0
0
8
8
16
16
16
16
8
8
8
8
0
24
24
24
8
0
8
8
0
8
8
0
5
0
0
0
0
16
8
8
0
0
16
0
16
16
0
0
0
8
8
0
4
8
8
8
8
18
0
1
0
16
16
16
16
16
4
0
0
0
4
4
0
8
8
8
1
2
0
20
0
0
0
0
0
0
8
0
16
16
8
8
0
0
34
34
34
8
0
8
8
8
8
8
8
8
0
16
16
16
16
1
8
0
0
0
0
0
8
8
0
0
0
16
8
0
16
16
16
0
8
4
8
1
0
2
2
2
2
1
24
0
0
0
0
0
8
16
16
24
0
8
1
1
0
2
0
8
8
2
0
1
1
1
8
32
24
17
17
0
16
0
0
2
16
20
20
16
16
8
8
20
20
1
8
0
0
8
8
8
0
0
0
8
8
8
0
1
1
0
16
16
2
2
0
0
0
0
16
16
1
3
3
3
3
3
3
3
3
3
3
0
8
8
8
32
4
8
8
0
0
8
16
8
8
8
8
0
0
16
8
1
1
1
0
0
0
0
0
0
2
2
8
8
4
2
2
2
2
36
8
16
8
0
16
0
0
2
1
1
0
0
16
8
0
8
8
8
8
8
1
0
0
1
0
4
4
4
16
0
12
0
0
0
0
0
8
56
8
8
8
0
16
21
4
0
0
0
0
8
8
0
0
0
0
0
2
0
16
8
30
0
0
0
0
8
8
8
0
0
8
16
16
16
16
16
16
0
2
0
0
1
1
0
0
0
8
1
1
4
6
6
8
8
8
0
4
16
16
16
0
0
8
0
0
0
0
0
3
3
3
8
8
8
26
26
26
0
8
0
0
0
8
0
8
0
0
16
16
16
16
16
8
1
0
1
0
8
0
0
6
24
8
16
16
32
0
8
8
0
10
10
0
19
0
8
32
8
8
8
0
0
1
24
0
8
8
2
2
57
57
4
0
0
8
8
0
0
0
0
0
0
0
0
0
0
9
9
9
9
9
9
9
9
9
9
16
0
4
8
8
8
0
24
24
24
16
9
8
8
8
0
0
4
4
1
8
0
8
17
17
8
0
0
0
1
4
0
0
0
0
8
8
0
0
10
0
25
8
8
0
0
8
8
0
0
0
0
8
8
24
0
8
8
8
8
8
0
40
0
0
10
16
2
0
2
0
8
0
0
0
0
0
0
8
8
0
0
20
20
20
20
1
16
0
0
0
8
0
0
32
32
32
4
0
8
8
8
5
8
0
0
0
0
0
8
8
0
0
16
16
16
0
0
0
0
58
58
12
8
0
0
0
0
0
0
0
0
0
0
24
24
0
24
4
4
4
0
0
0
0
4
4
0
24
16
0
1
1
8
8
0
0
0
0
6
10
10
1
1
2
2
0
0
0
0
0
0
0
3
4
4
4
2
2
2
2
0
0
0
8
0
0
0
0
0
0
0
8
0
8
8
8
0
8
8
8
0
1
16
20
8
8
0
0
16
16
0
4
4
0
16
16
16
16
0
0
0
16
16
20
0
0
8
0
16
0
0
0
16
16
1
0
0
2
8
8
8
8
4
4
4
4
8
1
8
8
8
4
0
8
8
8
0
32
0
12
16
16
0
2
1
36
8
33
33
16
0
0
24
24
0
0
0
0
0
0
8
8
8
1
0
8
0
0
8
8
8
8
1
8
32
48
0
8
0
0
0
16
16
0
0
2
0
0
0
0
16
8
0
0
8
8
8
8
16
16
48
48
0
0
8
16
16
24
32
0
0
0
0
16
16
16
32
0
0
8
0
16
16
8
0
0
16
8
16
2
11
24
16
4
16
4
4
8
4
8
8
8
8
8
8
32
29
29
0
0
0
8
0
8
0
0
8
8
8
0
0
0
16
0
0
0
0
0
0
16
8
16
0
8
0
4
8
0
0
4
0
8
10
8
32
16
2
2
8
0
8
24
1
2
0
0
0
0
0
0
0
0
16
0
6
4
16
0
1
1
0
0
0
12
0
16
0
40
40
8
8
8
8
8
2
16
1
33
2
1
1
8
8
40
8
0
0
16
16
16
8
4
0
2
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
8
8
8
0
6
0
0
4
56
60
0
4
1
0
16
16
16
0
0
8
8
8
0
8
9
5
5
18
18
16
16
0
0
0
0
4
0
0
6
8
0
1
1
0
0
1
0
8
0
0
0
0
0
0
4
33
33
2
2
16
16
4
8
8
8
0
0
32
0
2
0
8
8
8
8
4
0
4
0
0
0
4
8
8
0
0
0
0
4
4
0
0
0
16
1
16
1
1
8
8
8
24
0
0
16
0
0
0
16
0
0
0
8
0
8
8
8
4
4
4
4
4
0
4
4
0
8
8
5
2
2
0
16
16
16
16
2
0
0
0
0
0
16
8
16
16
25
8
0
0
0
0
0
0
8
0
8
0
0
16
16
16
2
2
2
2
2
10
0
8
8
0
0
8
0
8
8
16
16
8
8
32
32
32
32
32
0
8
0
1
1
17
1
5
8
8
8
0
0
0
0
0
0
0
0
0
0
4
0
2
16
0
1
16
0
4
4
4
0
15
15
0
12
2
2
32
2
5
5
4
8
8
8
0
0
0
1
0
0
0
8
1
0
0
0
0
0
49
0
0
0
0
1
1
0
0
0
8
8
8
8
0
0
14
0
0
25
25
25
16
16
16
16
16
16
18
8
0
0
0
0
16
20
20
1
1
1
16
8
8
0
0
8
0
0
16
9
0
0
0
0
0
1
0
4
8
8
0
0
0
0
0
8
8
2
32
0
0
0
16
16
0
0
0
0
2
16
0
16
6
4
16
0
0
0
0
0
2
2
0
12
12
4
0
34
34
34
4
4
0
1
16
0
0
0
0
1
1
1
4
0
0
0
8
8
8
0
0
0
0
1
1
1
1
17
0
0
0
16
4
0
0
0
0
0
0
20
20
20
0
8
8
8
8
8
8
8
8
0
0
0
4
4
0
0
0
0
8
0
16
16
0
0
0
0
0
0
8
1
1
1
1
2
8
4
0
0
16
16
16
16
1
0
8
24
0
0
0
0
16
16
8
8
1
1
8
24
8
8
8
8
0
24
4
4
0
8
8
0
8
8
8
0
0
0
16
8
16
16
0
8
0
0
0
16
4
4
17
17
8
0
16
16
16
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
16
16
3
1
0
0
8
16
0
22
22
8
0
16
0
16
24
0
8
0
16
0
18
18
1
8
0
4
2
8
16
0
24
8
16
8
8
8
24
24
0
16
16
2
0
2
8
8
0
0
0
8
8
8
8
17
24
0
0
0
8
8
8
8
8
16
16
4
0
8
16
16
0
0
4
0
0
0
0
24
8
0
0
0
0
0
0
0
0
0
8
8
1
1
0
0
0
0
2
7
8
0
8
8
8
2
0
2
0
8
0
4
0
0
0
0
0
8
8
0
8
8
16
0
0
8
0
16
1
1
1
1
0
8
8
0
0
12
2
0
0
0
0
0
0
8
8
2
0
8
16
16
16
16
0
0
0
8
8
8
16
4
0
0
0
0
8
4
4
16
0
8
0
17
8
0
0
0
0
0
0
0
16
4
16
0
8
8
12
1
0
12
0
2
8
8
49
49
0
0
36
8
0
8
8
2
0
16
0
0
8
0
8
0
0
0
8
8
0
0
0
16
17
4
4
44
44
44
32
32
8
8
16
0
8
8
0
0
8
8
8
8
0
18
18
16
0
28
28
28
0
0
0
8
17
8
16
16
16
16
0
0
8
8
8
0
0
8
8
0
0
0
2
2
0
0
0
2
8
8
16
16
0
0
0
8
8
8
8
8
0
0
2
16
16
0
24
24
0
0
10
10
8
16
8
0
8
0
0
0
23
8
8
0
0
0
0
0
0
0
0
0
0
0
0
16
1
20
0
8
2
28
8
36
0
4
22
8
0
0
0
2
0
8
8
0
0
40
0
40
8
8
8
4
16
4
2
32
0
0
8
0
0
4
4
16
16
16
24
16
16
0
2
8
8
28
28
28
8
0
0
0
0
8
8
8
0
0
2
2
2
0
0
0
8
0
16
16
16
16
8
8
0
0
0
16
16
16
0
0
8
0
0
8
8
16
4
0
0
0
18
2
16
16
0
0
0
4
8
0
0
8
8
8
8
16
8
12
2
0
0
8
8
9
8
0
0
0
0
16
8
8
1
4
4
4
4
2
2
2
2
0
0
0
6
0
0
0
15
0
0
8
8
8
8
0
0
1
0
16
16
8
28
0
0
0
0
0
0
16
0
16
8
4
4
8
8
8
8
8
8
2
1
1
1
8
8
8
8
36
0
0
0
0
0
0
16
16
0
0
13
8
0
0
16
0
0
1
1
8
8
8
8
8
8
6
16
16
16
8
16
2
2
8
0
4
4
0
4
4
4
16
16
16
0
0
8
8
0
0
0
4
4
0
16
16
16
0
8
0
8
16
16
8
8
8
8
8
8
8
0
0
0
1
4
16
0
0
8
16
16
0
0
16
16
16
16
2
8
0
1
16
16
12
12
12
8
0
8
16
8
0
16
8
0
1
1
12
16
0
2
14
8
12
12
0
0
16
16
8
48
8
0
23
0
0
0
0
17
8
8
18
18
18
18
0
1
0
0
0
16
16
0
0
0
0
0
14
8
24
24
24
0
4
4
10
10
16
1
1
4
4
0
24
8
16
24
24
8
8
4
0
0
0
0
0
4
16
16
16
0
0
0
0
0
8
0
1
2
4
4
8
8
0
2
0
4
4
8
8
8
8
8
4
4
4
4
16
0
0
13
8
8
9
17
0
0
0
0
8
8
0
4
0
0
0
0
0
0
0
16
0
4
0
0
8
0
8
1
6
24
0
0
0
0
0
8
0
0
16
16
0
0
0
8
8
1
0
24
8
8
0
0
0
0
0
0
0
16
28
0
49
0
0
0
0
3
2
1
0
0
0
0
8
1
8
8
16
0
0
16
8
0
0
19
8
0
1
1
0
8
8
8
0
8
8
8
8
0
0
8
8
0
0
0
0
16
16
16
0
0
0
0
0
0
0
0
22
1
4
0
8
16
16
8
8
8
8
8
0
0
0
0
0
0
8
0
17
0
8
8
8
10
8
8
0
0
0
0
0
0
4
4
22
4
0
16
8
0
0
0
0
2
8
16
16
16
0
0
32
0
16
0
4
8
16
16
16
8
8
8
8
13
0
6
0
32
8
0
0
0
0
16
16
16
16
8
62
62
62
0
16
9
1
0
0
0
20
8
0
0
0
0
8
8
0
0
8
8
16
8
8
8
0
0
0
0
0
0
1
1
0
0
0
0
16
16
16
8
8
0
0
9
16
16
4
4
0
16
32
0
0
8
4
4
4
4
8
8
4
8
4
4
12
16
8
1
32
0
0
8
0
0
16
0
0
0
0
0
2
40
2
2
2
8
0
4
4
0
8
32
32
8
16
8
22
8
0
8
8
8
0
0
5
5
5
5
5
8
8
8
8
8
12
0
0
0
0
8
8
2
2
16
0
0
8
16
16
4
4
1
0
0
0
0
0
0
0
14
10
4
0
0
16
16
0
0
16
16
16
16
16
16
16
0
0
0
0
0
0
0
8
2
0
8
0
8
8
8
8
8
16
16
0
1
1
0
8
8
8
8
16
8
8
8
8
2
0
0
0
0
0
16
16
16
16
0
0
0
24
24
24
24
0
8
8
16
8
8
16
8
0
0
0
0
1
24
16
8
17
17
1
17
16
0
0
0
16
8
0
16
32
0
0
0
0
8
0
0
0
2
2
2
8
16
16
0
0
0
8
5
0
8
0
0
8
8
1
1
8
8
8
0
0
0
12
24
0
4
4
0
0
0
0
0
4
24
8
16
0
0
8
8
0
16
16
0
0
0
0
8
0
4
4
8
8
8
20
20
8
2
0
0
0
18
16
2
2
8
8
8
8
8
0
0
8
18
17
0
8
0
2
16
4
0
17
16
4
0
8
8
0
2
2
8
8
2
4
4
4
4
4
4
8
8
0
0
0
0
8
8
8
0
4
2
1
1
0
16
0
0
0
32
32
0
0
8
8
22
22
17
16
0
8
0
0
0
0
0
0
1
8
23
23
16
8
8
8
0
0
9
8
8
8
12
4
16
0
16
0
32
24
1
1
0
4
0
8
8
0
0
14
4
8
8
8
8
0
8
0
0
0
8
8
8
1
1
8
8
16
16
0
0
0
16
16
16
4
24
4
8
16
8
8
8
0
0
16
1
32
16
16
0
24
8
8
0
0
0
8
16
56
0
0
0
0
0
0
0
16
0
0
0
2
16
16
4
16
16
16
16
0
0
0
2
16
18
1
0
4
4
8
8
8
0
0
0
16
32
4
8
0
0
16
16
0
0
16
16
16
16
16
0
0
0
0
32
32
32
24
0
0
0
0
0
0
0
4
0
8
8
8
8
0
8
0
0
8
0
0
0
4
8
0
0
0
8
1
0
0
0
0
18
16
16
0
0
0
8
8
0
1
0
0
0
0
16
16
16
16
4
0
0
9
0
1
16
0
0
24
8
0
2
2
2
0
0
20
0
4
16
0
0
8
8
0
0
0
0
16
8
8
8
0
4
4
4
4
4
4
6
8
24
24
4
16
0
16
16
0
0
0
0
0
0
16
0
25
0
16
16
0
0
0
0
2
26
8
8
28
0
8
4
14
0
0
24
1
8
8
0
0
0
12
16
8
8
1
1
2
2
0
4
8
0
8
3
3
3
0
1
0
0
8
8
0
18
0
8
0
17
1
0
18
16
1
27
0
0
0
0
0
0
0
1
32
0
8
3
1
2
2
0
0
0
18
0
0
0
0
0
8
0
0
16
16
16
0
0
0
9
0
8
0
16
12
4
0
1
0
0
8
8
8
8
0
8
0
0
0
0
8
0
8
8
2
0
0
0
32
0
2
16
16
0
0
20
8
8
16
16
8
8
17
16
0
0
0
8
8
0
18
18
18
0
0
4
4
4
4
24
0
0
6
0
8
8
8
20
8
8
8
2
2
2
2
4
16
16
8
8
24
24
0
0
0
2
8
0
0
0
8
8
8
16
0
8
4
4
4
4
4
16
0
0
8
16
2
2
0
0
4
0
48
32
0
0
8
0
8
0
0
0
8
8
8
8
8
8
16
16
8
0
16
0
0
0
20
0
0
4
4
8
0
0
0
0
0
1
0
8
8
0
0
0
0
0
16
16
16
16
16
16
8
24
0
0
8
16
16
16
17
16
16
16
18
0
0
0
0
0
0
32
32
0
20
8
8
8
4
4
4
0
0
8
8
8
8
8
0
8
0
8
0
8
8
1
1
1
16
0
8
9
0
8
8
8
8
0
0
1
0
0
0
0
8
8
4
6
4
1
0
24
0
8
0
8
0
0
14
5
16
16
0
0
2
0
16
0
32
4
4
8
0
0
0
8
16
0
36
36
16
0
8
0
0
8
8
0
1
8
8
8
31
0
0
0
0
8
12
8
8
0
0
16
4
40
16
0
0
0
0
8
0
16
16
16
8
8
0
0
0
8
0
0
16
8
8
8
8
0
0
0
0
21
8
8
8
0
8
0
0
0
0
8
8
8
4
8
31
0
0
0
16
16
16
16
0
2
20
4
0
0
0
0
0
16
20
8
32
32
0
8
8
16
16
16
16
16
8
0
8
8
4
0
0
18
8
0
8
16
0
8
0
0
0
8
8
8
28
0
0
8
0
24
0
0
8
0
0
0
16
16
2
4
0
0
8
8
8
24
16
1
16
1
1
12
0
8
0
0
8
16
16
0
6
24
0
0
4
0
8
0
0
0
0
0
0
0
8
8
4
4
0
1
0
0
0
0
16
16
0
8
8
0
0
0
8
16
0
20
16
16
8
8
24
0
8
8
8
1
0
0
0
1
1
1
8
8
8
24
24
24
4
10
4
4
29
0
0
0
0
0
8
0
0
0
0
0
0
8
32
32
16
0
0
0
0
16
0
0
0
10
0
8
8
0
0
8
8
2
0
0
0
0
1
4
0
0
0
0
0
5
0
0
0
0
8
8
8
24
0
2
4
4
16
4
8
8
0
4
1
1
0
24
0
0
8
16
1
28
4
0
2
2
8
16
16
1
0
0
8
0
4
2
0
0
32
0
8
0
0
0
0
0
0
0
18
18
18
0
8
32
32
32
32
22
1
1
4
0
4
4
4
4
8
8
9
9
8
0
0
16
12
0
8
8
16
0
9
0
1
0
8
8
4
1
1
8
8
2
2
2
8
0
32
0
0
8
12
12
16
16
8
8
0
0
0
0
4
4
20
2
2
1
1
1
1
0
8
0
0
0
0
0
0
0
0
0
48
48
48
0
8
8
8
0
8
4
4
4
0
0
0
1
1
1
0
8
32
0
0
0
0
0
0
8
8
8
0
0
8
8
8
0
12
12
52
52
52
8
8
32
32
4
0
0
0
16
18
0
0
8
12
24
0
1
1
1
16
16
16
8
8
16
16
0
0
0
4
0
8
8
8
0
0
4
0
0
16
16
0
0
29
8
8
8
0
1
1
8
0
0
8
8
56
16
16
16
16
0
0
0
0
0
4
8
0
18
16
4
20
20
0
2
2
8
8
8
0
3
3
2
8
0
0
0
0
0
1
1
1
16
0
16
40
40
40
21
21
21
21
0
8
8
32
32
32
0
0
0
0
0
8
1
0
28
28
28
28
28
16
10
20
24
8
8
8
8
16
16
16
1
3
8
8
0
0
8
16
8
32
0
0
1
16
16
0
8
8
8
8
8
9
9
0
0
0
0
0
8
0
0
0
8
32
0
8
4
0
1
0
8
8
0
0
2
0
0
10
8
0
0
0
0
0
2
16
16
16
16
0
0
16
16
0
0
0
0
0
0
0
0
0
10
16
0
0
0
0
0
0
0
0
2
2
4
0
20
1
1
0
0
0
0
0
0
0
0
0
20
0
0
0
8
2
18
10
0
0
8
8
8
2
2
0
0
16
16
16
16
2
2
0
0
1
0
0
20
6
6
6
8
0
4
16
8
8
8
8
0
0
0
2
0
0
24
24
16
8
8
0
16
16
16
16
4
8
8
2
0
0
28
0
0
16
4
16
0
0
4
0
2
0
4
4
16
0
0
0
0
4
0
0
0
16
16
8
36
32
1
0
0
0
0
0
0
32
0
0
0
0
0
24
0
0
0
0
8
4
4
0
0
0
0
4
4
0
2
0
0
0
0
48
16
0
0
0
0
0
8
8
8
8
0
16
0
0
2
0
0
8
0
0
0
0
16
2
0
2
2
2
2
0
10
0
0
0
0
58
1
1
1
1
0
0
0
16
8
8
8
8
0
16
16
8
8
8
4
16
0
0
0
0
8
16
16
0
16
1
0
0
32
0
4
2
0
16
16
8
0
8
0
12
12
8
0
16
0
8
8
8
0
8
0
4
0
16
1
8
0
4
0
0
8
8
5
0
21
21
21
21
0
4
4
24
24
24
16
0
0
17
8
8
8
19
0
0
0
0
0
0
0
0
16
16
8
16
0
16
0
0
32
0
24
8
8
8
0
0
0
16
8
44
44
62
0
0
20
20
20
2
2
2
16
0
0
8
8
0
2
2
8
4
0
0
0
0
0
0
0
16
0
0
16
16
16
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
13
0
16
16
0
0
0
0
16
0
3
16
8
0
8
0
0
0
0
0
0
0
8
8
0
8
16
16
16
16
16
16
0
0
1
0
0
0
2
2
2
0
32
0
18
0
0
4
0
0
8
0
1
24
16
16
0
0
22
22
16
12
0
0
0
0
12
0
8
8
4
4
4
0
0
0
8
8
24
10
0
0
0
0
0
0
0
0
0
0
16
24
24
0
6
8
0
0
8
8
0
0
0
1
1
1
16
6
6
0
0
0
0
0
0
0
0
8
0
8
8
8
0
0
0
0
8
8
0
0
32
0
16
24
24
24
24
24
24
0
0
0
8
2
0
16
16
16
8
40
32
0
0
8
17
0
0
0
1
1
24
24
2
4
8
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
36
4
2
0
2
2
0
0
16
4
4
4
8
0
0
8
6
0
4
32
2
0
4
16
26
10
10
16
19
0
0
0
9
1
1
0
0
0
8
0
4
4
0
18
0
0
21
0
0
1
0
0
0
8
8
8
0
8
1
1
1
0
0
0
0
0
16
16
16
16
16
28
8
8
8
0
0
0
0
0
0
16
16
0
30
0
8
8
24
0
0
1
0
0
0
0
0
24
8
0
0
0
0
4
4
4
0
0
0
16
0
8
0
0
0
18
4
0
0
0
8
0
0
8
0
8
16
12
12
4
0
0
0
0
8
8
0
0
0
0
0
16
20
1
1
0
0
0
0
0
0
0
0
16
18
18
0
1
1
0
0
8
8
8
8
8
8
0
0
16
16
0
0
16
8
0
0
0
0
0
8
0
2
1
1
0
0
2
8
16
16
16
0
0
0
0
0
0
8
8
8
0
0
0
6
16
16
20
20
20
0
24
24
16
16
1
16
16
16
4
0
0
0
0
0
0
0
8
8
8
8
0
8
8
8
26
26
26
0
8
8
16
0
25
0
0
4
18
18
18
16
16
0
0
8
8
16
0
0
0
0
0
0
0
2
2
2
2
2
0
16
16
8
8
0
16
16
8
0
0
2
16
32
0
0
28
0
1
0
8
0
0
0
0
8
8
0
16
0
1
0
16
4
16
0
18
18
0
1
8
4
19
8
8
0
0
4
0
8
0
0
0
8
8
24
40
24
8
16
16
0
0
16
8
0
1
0
0
16
0
0
0
0
0
0
8
8
4
16
0
0
0
0
4
0
0
0
0
0
20
4
0
2
2
0
8
8
8
0
8
0
2
16
1
9
0
16
16
0
0
0
0
8
0
0
0
0
0
0
16
16
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
1
20
8
22
22
22
22
1
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
24
24
16
8
24
0
16
16
0
0
0
0
0
0
2
2
6
2
2
2
2
16
0
20
1
1
1
0
0
0
0
8
12
0
0
0
0
0
0
0
0
14
4
8
0
0
16
16
16
0
0
16
0
0
2
16
16
16
16
8
0
0
16
0
0
0
40
40
8
1
12
0
0
0
6
6
6
6
6
8
4
4
8
8
8
16
16
16
0
0
16
16
0
0
24
24
0
0
16
0
0
3
0
8
0
0
8
0
0
0
8
0
4
4
0
20
20
20
8
8
8
0
49
49
1
8
8
8
16
16
18
8
4
0
0
0
0
0
8
8
8
0
8
8
8
0
0
8
9
8
8
8
0
8
0
16
4
0
0
8
0
0
0
0
20
8
0
4
0
17
0
0
8
8
8
8
0
0
0
8
0
0
0
0
4
0
0
8
8
8
8
0
8
8
8
16
16
8
8
8
8
1
4
0
4
8
16
0
0
0
24
0
0
0
8
0
0
0
8
8
8
8
0
0
0
0
0
0
16
0
18
8
0
0
0
0
0
0
4
2
2
16
16
0
0
0
0
16
5
4
0
10
10
0
0
0
0
16
16
0
0
22
22
0
0
0
27
0
8
0
8
0
18
2
2
0
0
0
0
0
0
18
0
18
4
4
4
16
8
8
2
1
0
16
48
48
0
0
12
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
4
4
8
12
0
0
0
0
0
1
1
20
0
0
0
8
0
16
0
0
0
4
0
0
0
0
0
0
0
43
0
8
0
16
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
4
4
0
0
0
0
0
16
16
24
20
0
0
2
0
0
16
16
17
2
8
0
6
0
0
8
0
0
0
0
0
50
50
16
48
16
16
1
1
0
1
0
0
0
0
20
16
16
16
0
0
0
0
0
16
9
16
16
0
8
0
18
2
2
8
8
0
0
0
0
16
13
13
0
0
0
17
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
4
4
16
16
16
20
17
17
12
16
4
0
0
0
13
8
0
16
16
16
8
0
0
0
9
0
18
16
1
1
1
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
8
20
0
0
4
0
24
1
1
1
0
8
8
8
0
0
0
0
0
0
0
0
0
16
16
4
0
8
8
16
16
16
8
4
4
16
2
0
16
16
24
24
2
0
16
0
0
0
0
0
0
0
16
0
0
8
8
8
8
8
8
8
8
8
8
0
0
0
24
0
0
0
0
0
0
4
0
0
0
0
0
0
0
8
4
0
8
0
2
1
1
1
0
0
0
0
0
0
0
16
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
16
2
2
0
8
16
16
0
0
0
0
0
16
8
0
0
1
4
4
4
0
0
0
0
0
8
8
8
8
8
0
2
0
0
2
2
0
0
0
0
0
8
0
1
0
0
0
0
0
0
0
0
0
0
8
8
8
8
16
1
20
0
0
0
2
0
24
24
0
16
0
0
8
8
8
8
8
16
0
24
8
8
8
0
0
0
0
0
0
28
8
8
24
9
8
8
1
0
0
16
16
0
0
0
9
28
0
0
0
0
0
0
0
0
8
4
0
2
8
8
8
8
4
0
0
28
8
8
4
0
8
8
8
0
8
8
0
2
24
16
0
0
16
16
0
20
8
0
0
0
0
8
2
4
0
0
0
0
0
8
8
8
0
2
10
0
0
0
0
0
16
6
16
4
0
0
8
0
0
4
1
1
33
33
8
0
0
0
0
0
32
16
0
0
2
1
1
16
0
0
8
0
0
0
8
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
1
0
0
0
0
8
0
0
5
4
16
4
8
12
0
4
8
8
0
16
8
0
0
0
2
2
0
8
4
0
0
0
0
0
0
0
16
16
16
8
8
16
41
0
8
8
0
0
0
0
8
8
8
0
8
8
16
16
0
16
0
0
0
8
8
2
8
0
0
18
2
2
0
16
16
0
8
8
8
14
10
10
10
10
0
16
0
0
13
0
0
0
1
1
0
1
1
1
16
16
8
8
8
8
0
4
4
4
0
16
0
16
8
8
8
0
0
0
0
8
8
0
16
0
16
16
0
18
0
8
8
8
0
0
0
1
0
0
0
0
0
0
0
0
0
0
4
0
8
0
0
0
0
44
0
16
0
1
1
1
1
1
1
17
0
16
16
8
8
8
8
0
0
0
0
0
1
16
0
24
8
8
0
0
8
20
4
4
0
6
6
6
6
0
0
0
0
0
0
16
24
8
8
0
0
0
0
0
0
4
4
0
16
8
8
8
32
0
0
0
8
8
8
0
4
4
8
0
0
0
0
16
8
8
16
0
0
0
8
0
0
0
0
0
0
0
8
0
0
2
2
1
0
8
8
16
0
0
2
2
0
4
8
8
8
0
8
8
8
0
0
0
0
8
8
0
16
16
2
2
2
0
0
0
0
8
0
4
8
0
4
4
9
9
9
0
8
8
8
4
4
4
24
16
0
2
0
8
24
0
0
0
0
0
0
0
0
8
8
2
0
4
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
16
16
0
0
0
1
4
4
8
8
4
4
16
16
4
4
0
8
0
8
0
16
8
0
0
8
8
8
0
0
16
0
0
0
0
16
0
8
8
8
8
8
8
2
4
16
16
22
1
1
0
0
12
16
16
16
0
0
0
2
0
16
16
8
0
0
1
16
0
10
4
0
0
8
0
0
0
8
8
0
0
0
0
0
0
8
8
8
8
8
0
0
0
0
16
0
0
0
0
0
6
8
8
8
8
0
0
0
0
8
0
8
0
0
8
0
2
16
0
8
33
12
4
16
8
8
8
8
0
0
4
8
0
0
0
0
0
0
0
8
16
0
16
4
4
2
16
16
8
16
4
8
0
0
8
8
0
1
0
24
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
16
8
0
0
16
0
20
8
0
0
0
3
3
3
3
8
0
0
2
8
8
0
0
0
0
0
8
8
8
0
2
0
0
0
0
0
8
8
8
9
0
5
16
0
8
0
0
0
0
0
0
0
0
9
0
2
2
0
0
0
0
0
0
0
0
0
16
0
56
56
16
0
10
10
10
0
0
0
48
0
8
8
8
0
10
10
10
10
10
0
0
0
0
20
8
2
8
0
16
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
4
2
24
0
0
0
8
8
0
0
0
0
0
16
0
0
0
0
0
5
5
0
0
0
8
2
0
8
0
1
4
4
4
8
8
8
0
0
16
0
0
0
0
0
0
0
16
0
0
0
0
0
0
16
16
16
16
0
16
16
8
8
8
0
0
16
4
16
16
0
0
0
16
0
0
0
0
0
20
4
5
0
0
4
4
0
0
0
8
4
2
0
16
0
24
0
0
4
8
0
0
4
0
4
4
4
0
8
6
6
0
0
0
0
0
0
0
16
8
1
1
1
8
8
8
0
0
8
8
8
16
0
0
8
4
0
4
16
16
16
4
16
8
8
0
16
8
8
8
0
0
0
0
8
0
0
0
20
8
0
2
2
0
0
0
4
4
8
32
0
0
8
8
0
0
0
0
0
0
0
0
0
4
1
8
4
0
16
16
16
16
16
2
8
8
20
4
0
0
8
8
8
0
5
0
16
0
16
0
0
4
16
0
0
1
1
1
1
16
16
16
2
0
1
1
0
0
0
4
0
0
0
0
19
19
16
0
0
0
0
0
4
0
0
0
0
0
0
20
0
16
0
16
16
0
0
0
28
9
8
4
8
8
8
0
0
1
16
16
0
0
0
0
16
0
0
0
0
0
0
0
16
12
4
0
0
0
0
0
0
0
0
0
16
16
8
16
8
8
8
0
0
17
17
0
8
8
8
20
0
0
1
16
0
0
2
0
0
0
0
0
8
8
0
0
0
0
0
1
0
0
8
0
0
0
0
0
0
0
0
4
0
24
8
8
16
0
8
16
0
16
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
16
8
8
8
0
0
2
0
0
0
0
0
4
28
0
24
0
0
0
0
0
0
0
0
0
0
2
0
20
20
20
0
4
0
0
0
0
8
0
16
32
16
16
16
8
0
0
8
0
0
0
0
8
8
16
16
12
12
12
0
0
8
1
1
10
10
8
2
0
0
0
8
0
0
0
0
1
8
8
8
8
0
0
4
1
8
8
57
4
4
8
8
8
0
0
0
0
4
4
4
0
0
24
24
0
0
0
0
16
0
0
0
0
0
0
0
0
16
16
16
1
1
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
22
8
8
0
0
0
0
0
16
0
32
32
24
8
30
30
30
30
4
0
0
8
8
0
0
0
0
0
0
1
0
0
16
0
16
0
0
0
0
0
2
16
24
32
8
0
0
1
16
0
0
0
0
0
8
0
0
16
7
7
0
0
0
8
0
0
8
6
6
16
0
16
16
0
0
4
4
12
2
2
0
8
8
0
8
8
8
0
0
0
0
4
48
48
8
16
16
5
4
4
0
0
0
0
0
8
0
2
2
2
8
8
8
8
0
3
16
0
8
0
0
8
8
0
1
0
25
17
17
17
17
3
2
16
9
9
0
0
0
0
0
0
1
1
0
0
0
0
0
8
16
16
1
0
0
0
8
8
1
2
18
5
0
0
0
0
0
16
16
0
16
0
1
16
1
0
4
4
4
4
0
0
16
16
16
16
0
8
0
0
0
16
16
12
12
8
8
8
13
13
0
0
0
0
0
16
16
8
8
1
1
0
8
8
4
4
4
0
0
26
0
8
16
16
0
0
0
0
0
0
0
8
0
0
8
1
0
0
8
8
16
16
1
1
16
0
1
0
8
0
8
16
0
0
0
0
8
0
8
8
0
24
0
16
4
24
16
0
0
0
0
4
4
4
4
4
0
0
0
2
6
2
2
16
0
0
16
8
8
0
0
0
0
0
0
0
0
0
8
1
1
36
32
0
8
8
0
0
0
0
24
16
1
0
0
1
8
8
8
8
8
0
0
0
0
0
0
0
0
0
4
2
0
0
0
0
0
16
0
8
4
8
8
0
10
8
0
0
16
0
16
1
0
0
0
0
8
1
4
0
19
16
0
0
16
4
8
0
0
16
16
0
8
8
2
1
16
0
2
2
2
1
0
0
16
16
0
0
0
0
4
0
8
0
0
16
32
4
0
0
0
0
0
0
18
16
0
16
16
0
0
0
0
0
0
0
0
8
0
0
4
16
0
0
0
8
4
4
8
8
0
8
0
0
0
0
0
8
8
8
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
2
2
4
24
24
0
0
2
9
2
0
0
0
16
16
0
0
0
0
16
0
8
0
0
56
33
8
0
8
8
8
1
1
1
0
0
0
16
0
0
0
16
16
16
0
2
0
0
2
0
8
0
16
0
0
0
0
8
1
4
4
4
8
8
0
9
9
0
2
1
20
20
0
0
48
0
0
17
2
2
2
0
0
8
8
0
0
0
0
0
0
8
24
8
8
16
0
1
8
32
32
4
0
0
16
0
8
8
0
8
0
0
0
11
0
16
16
0
8
8
0
0
36
36
36
0
8
16
8
8
0
0
0
24
0
16
0
0
0
0
0
0
16
16
18
0
0
0
0
0
0
0
0
18
8
8
32
0
0
8
0
0
8
0
0
0
4
18
28
24
0
0
0
0
0
16
0
0
0
8
16
8
8
8
8
2
0
0
4
0
0
0
0
8
16
20
32
0
2
0
0
1
8
8
0
20
2
0
0
0
8
8
8
0
0
6
6
6
2
16
16
16
0
0
0
0
0
3
16
0
0
0
8
8
8
0
0
0
0
0
0
0
8
4
0
0
2
2
32
0
0
0
0
8
0
0
0
0
0
16
4
4
0
24
8
2
16
2
49
0
0
18
12
0
8
0
0
0
0
4
4
0
8
9
9
4
4
4
32
32
32
2
16
0
0
28
0
0
0
2
0
0
4
8
0
0
0
2
0
32
32
0
0
0
0
0
0
0
0
0
0
9
9
8
0
8
8
8
8
0
0
2
8
16
8
24
16
0
2
2
2
2
2
2
2
9
16
16
0
42
2
1
1
0
17
0
8
0
24
24
24
28
0
0
9
16
24
24
0
0
0
8
4
0
12
8
24
24
36
8
0
0
0
8
16
20
6
6
6
0
0
0
8
8
8
24
0
0
0
0
4
0
4
0
0
0
2
2
0
0
0
16
16
8
13
20
16
0
20
0
0
0
0
2
30
0
9
0
0
0
0
8
8
0
4
4
4
4
4
2
8
0
0
0
24
8
8
8
2
0
0
16
1
1
8
16
8
0
0
8
8
8
8
8
26
26
16
24
24
0
0
2
2
2
2
18
0
8
8
16
16
8
16
17
1
1
1
0
0
0
0
0
0
16
16
16
24
8
8
8
41
8
0
0
0
0
0
16
0
0
0
0
16
16
1
40
0
0
1
1
24
8
0
0
0
0
2
2
0
1
8
8
8
0
0
0
0
0
16
17
20
20
10
0
0
0
1
4
4
8
16
8
0
0
5
1
1
0
0
0
8
2
2
0
16
16
16
16
0
0
8
2
0
8
8
8
0
0
0
0
0
0
16
8
16
0
1
17
8
8
8
8
8
0
0
0
0
4
34
16
0
0
0
0
0
0
8
8
8
0
0
8
8
0
4
0
8
9
16
0
0
0
0
0
0
0
24
0
0
0
0
34
0
4
4
4
8
0
0
2
8
8
8
16
0
0
1
2
2
11
8
8
8
8
8
6
8
0
28
16
0
0
8
0
16
16
0
0
0
0
0
0
0
8
0
0
0
0
8
8
2
8
0
0
1
1
1
0
0
0
0
10
10
2
0
0
8
16
8
8
0
8
0
0
0
0
8
0
8
0
16
0
12
12
0
16
8
0
0
8
8
8
8
8
8
8
8
8
4
4
4
0
0
0
2
4
4
8
8
8
8
8
0
0
24
8
0
0
4
4
4
4
4
0
0
0
20
20
20
20
8
8
8
0
0
24
24
24
4
0
0
0
0
16
4
24
16
8
0
8
1
8
4
4
4
16
16
16
0
8
12
1
5
8
8
8
0
4
4
4
0
2
8
8
0
16
8
8
8
0
0
0
8
8
0
0
0
8
0
8
8
0
0
0
18
38
16
4
0
0
0
0
0
0
0
8
8
0
16
16
0
0
8
24
0
0
0
12
0
0
0
16
0
1
1
1
16
16
21
21
16
17
16
16
0
4
1
2
2
2
2
1
0
0
0
2
2
0
0
0
44
16
16
0
0
0
0
4
8
8
9
1
1
16
8
9
0
24
16
16
42
42
42
16
16
8
20
60
0
8
9
0
8
8
8
8
0
0
0
0
18
18
0
0
0
0
0
0
0
0
0
0
0
0
8
4
16
4
0
16
8
8
8
8
8
8
0
0
0
8
0
8
16
16
2
0
18
18
16
59
0
16
2
0
0
0
4
4
4
8
8
8
9
9
0
16
0
18
0
0
8
8
8
0
0
16
16
16
16
16
16
41
0
8
0
4
1
0
0
0
0
4
0
16
0
0
0
0
8
0
0
2
2
8
0
8
8
0
8
8
8
0
0
0
0
2
0
28
20
0
16
16
16
1
1
1
0
0
0
0
10
0
16
0
1
0
0
0
0
0
0
24
16
0
24
8
4
1
1
0
0
0
0
0
0
0
8
0
0
0
8
8
8
0
8
8
8
8
8
8
1
16
16
4
16
16
0
16
8
8
1
28
0
0
0
0
0
16
16
4
15
8
8
8
0
0
1
0
4
0
8
8
0
0
0
0
16
16
18
18
18
18
18
32
16
0
0
48
48
40
1
8
8
8
8
8
8
4
8
8
16
2
0
0
22
0
0
17
20
8
8
0
0
16
16
0
1
0
0
0
8
2
28
0
0
8
0
24
24
8
8
8
8
2
0
0
0
0
8
16
16
16
16
0
0
0
0
8
8
1
1
1
0
8
8
8
3
1
8
8
8
0
0
8
8
8
4
4
4
0
0
0
0
8
8
8
0
8
0
16
16
8
0
0
0
8
16
16
0
0
0
0
0
0
0
0
0
0
0
1
1
2
32
32
8
32
24
16
0
0
0
0
0
6
24
0
0
0
0
0
0
0
16
0
8
0
32
32
32
32
0
8
8
1
0
0
0
0
16
0
8
16
16
16
8
0
0
0
8
0
4
0
0
8
8
0
0
48
48
0
8
8
4
4
4
4
16
8
0
0
0
8
8
8
4
0
0
16
26
0
0
0
8
32
32
2
0
8
8
8
8
32
33
8
4
4
8
8
8
0
8
8
8
8
0
0
0
0
0
0
8
8
16
8
16
16
0
1
1
1
1
1
0
0
8
1
0
0
4
0
0
0
8
8
8
4
0
1
16
16
16
0
0
0
0
8
8
8
32
16
32
8
16
16
0
8
8
18
18
8
8
0
8
4
0
0
0
8
8
33
8
8
0
0
0
0
0
8
8
0
8
8
8
0
0
0
0
0
8
0
1
2
16
16
16
0
0
4
12
0
0
32
0
0
0
8
0
0
8
16
16
2
8
8
8
8
24
16
0
0
0
0
0
0
0
54
8
32
0
0
0
0
0
0
0
0
8
0
18
18
16
16
16
16
0
0
0
8
0
10
12
16
8
0
0
0
0
0
16
16
16
16
4
4
4
0
0
0
0
20
1
0
16
16
0
0
0
16
0
8
2
2
2
16
0
0
0
0
0
0
0
0
0
2
8
8
8
8
0
0
0
16
8
0
0
0
8
8
16
16
24
0
0
0
1
1
0
8
8
17
0
0
9
8
16
16
16
37
37
1
16
8
8
8
0
6
0
8
0
0
4
4
4
0
0
0
0
4
16
16
0
0
16
16
22
8
8
4
0
4
4
16
0
25
0
12
12
8
0
4
4
8
16
0
0
8
0
8
16
0
0
16
2
16
0
1
1
0
8
4
4
8
4
8
8
8
8
16
16
8
0
0
16
8
0
0
4
4
4
8
0
4
2
2
2
2
2
2
2
8
1
1
1
0
0
9
8
16
16
16
24
8
8
8
0
0
0
0
0
8
8
0
0
0
0
16
45
45
0
0
0
0
8
8
8
8
8
0
0
0
0
0
2
8
8
0
4
8
0
48
2
2
8
8
8
0
8
0
4
0
0
8
8
8
0
0
8
0
0
0
0
8
0
8
8
8
0
0
0
1
0
0
0
0
0
0
2
2
0
0
16
0
4
0
0
0
8
0
0
0
8
8
0
16
0
0
8
8
8
8
8
8
8
0
48
8
0
8
2
2
16
4
0
8
0
8
2
6
8
8
8
0
0
0
0
8
0
0
1
8
8
16
16
8
0
8
16
16
20
20
20
20
20
0
0
8
8
8
8
8
8
8
8
0
0
8
0
0
4
0
0
0
1
16
16
0
0
8
8
0
8
0
4
4
4
4
0
0
0
0
0
0
0
30
30
1
16
16
0
0
16
0
8
0
0
0
8
8
8
0
0
8
8
0
0
0
40
40
8
8
0
8
0
8
0
0
0
0
8
0
0
2
0
8
13
13
13
1
0
1
1
5
8
0
8
0
8
8
0
0
0
0
8
8
0
0
8
0
8
8
0
56
8
0
8
8
0
8
8
2
8
8
0
8
8
8
8
16
16
0
0
8
8
0
0
8
8
0
16
16
16
16
18
19
4
4
0
0
0
0
0
16
8
8
8
0
0
0
0
0
16
16
16
0
0
8
0
0
0
0
0
8
0
0
0
8
8
8
0
16
8
0
0
1
1
1
1
1
8
8
8
24
8
0
0
0
0
8
0
16
1
16
8
8
8
8
8
4
4
4
24
24
24
16
0
8
0
0
8
0
0
16
0
32
0
16
8
0
8
8
0
16
20
0
4
20
52
0
6
16
1
4
4
4
4
8
16
20
20
0
4
4
4
32
0
32
8
0
0
16
8
8
8
0
0
16
0
8
8
4
4
12
4
4
8
8
2
0
8
8
0
0
8
8
0
0
0
4
4
2
4
6
0
0
0
16
8
8
0
49
49
49
0
8
0
8
16
0
0
0
0
6
6
16
0
0
0
0
8
8
16
16
0
8
8
8
0
16
16
16
13
17
24
24
17
0
8
24
24
8
8
8
8
20
20
20
8
8
0
0
32
16
0
0
2
10
8
8
8
8
8
16
16
8
8
8
0
0
0
0
8
10
6
0
0
0
1
8
4
4
8
8
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
41
41
0
0
0
0
0
0
0
0
4
0
16
0
6
16
16
16
4
0
2
0
0
0
4
4
0
0
8
8
8
0
0
1
1
8
0
0
0
24
8
0
0
24
16
0
8
16
4
1
0
0
0
26
26
26
26
8
8
4
0
8
8
8
2
2
4
4
4
4
4
4
4
0
8
1
1
0
8
0
0
0
0
2
8
18
0
0
0
0
0
16
8
8
8
0
8
8
8
8
8
16
16
0
8
8
0
0
16
2
0
0
0
16
16
0
0
0
8
16
0
12
4
0
0
0
0
0
4
16
0
0
0
0
0
1
16
16
16
16
8
8
8
32
17
17
0
0
4
32
32
0
0
0
0
0
8
8
8
0
8
32
0
0
0
0
16
1
0
16
16
18
18
18
4
8
0
8
8
0
0
0
0
1
2
2
2
16
16
16
16
16
0
16
16
0
0
8
2
19
19
19
19
2
2
3
3
1
8
0
12
8
8
8
5
8
8
8
8
8
8
8
1
1
1
0
26
26
26
1
0
8
16
16
16
0
2
8
8
10
16
16
8
0
16
16
2
4
0
16
16
0
0
22
4
8
8
0
8
8
1
24
8
8
0
0
0
0
0
0
8
8
8
8
8
8
16
0
8
0
0
8
0
0
4
4
0
8
8
0
8
0
16
0
24
24
0
16
18
16
16
20
20
20
0
0
0
8
16
16
0
8
8
8
16
0
0
1
1
8
8
8
0
4
0
5
16
16
20
20
0
1
1
4
16
0
0
8
0
8
38
2
2
0
0
8
8
8
8
8
1
1
1
1
0
16
16
4
4
16
0
0
0
16
8
0
0
0
0
0
8
0
0
0
16
16
24
8
8
8
8
8
8
0
0
8
0
1
1
1
1
1
1
1
44
44
8
0
1
1
1
1
16
16
0
0
0
0
0
16
16
0
0
4
30
4
2
0
0
8
8
0
1
8
0
8
8
0
0
0
8
8
8
8
0
4
4
0
16
16
0
0
0
8
8
8
8
8
32
8
8
0
8
8
8
0
0
0
3
2
0
0
0
0
0
0
0
2
24
8
8
4
18
0
0
0
16
0
0
4
8
0
0
1
24
24
16
16
16
0
0
38
38
38
32
32
32
32
0
16
16
16
24
20
20
16
13
0
0
32
8
0
4
1
2
16
2
18
2
16
4
4
1
1
0
0
8
17
0
0
8
0
0
16
16
16
16
16
0
16
8
0
8
0
0
16
4
8
8
2
0
0
0
0
0
0
4
0
8
0
16
16
2
7
0
0
0
0
0
0
0
16
1
8
4
4
0
28
28
0
0
4
0
8
8
8
8
12
12
0
16
0
60
60
8
8
16
8
8
0
8
0
2
0
58
2
1
1
4
2
8
8
8
24
1
1
8
0
0
0
0
8
16
0
1
1
32
2
2
0
0
0
4
4
0
16
8
0
16
16
8
16
1
1
1
1
1
1
1
1
1
8
8
0
24
8
8
8
0
0
0
8
9
9
9
0
0
0
0
8
8
16
0
0
1
1
1
1
26
0
0
0
8
8
8
0
1
1
0
0
0
0
24
8
8
16
8
0
4
4
4
8
2
2
4
0
0
8
48
0
8
8
0
0
0
12
0
0
8
8
0
0
61
16
0
16
16
0
0
0
0
8
48
0
0
26
26
0
8
8
0
0
0
0
0
16
16
32
16
16
4
4
0
0
0
0
0
0
0
0
0
0
1
8
1
1
8
16
0
40
8
8
8
0
0
16
16
0
8
8
4
24
20
20
0
16
20
0
16
24
24
13
9
25
0
0
0
8
0
0
4
8
8
0
0
4
4
4
4
0
8
8
1
1
0
1
17
4
3
8
0
0
0
16
0
8
8
0
8
8
8
8
0
0
0
0
0
8
8
8
0
16
16
16
16
16
0
0
0
0
0
8
0
8
8
8
0
0
4
4
4
16
16
0
20
20
32
0
0
0
0
0
8
1
8
8
0
16
16
1
1
0
0
0
19
2
0
0
0
8
8
8
1
8
0
0
0
8
0
0
0
16
0
0
16
16
16
8
8
16
0
16
8
8
0
8
8
8
8
15
16
16
16
16
8
2
0
8
8
0
0
24
12
0
8
0
0
0
16
8
0
8
0
8
0
0
0
1
1
0
0
0
0
16
16
16
16
0
0
8
2
2
2
8
1
1
0
16
12
8
18
8
8
8
0
16
16
16
0
0
8
0
0
0
16
16
0
0
0
0
0
0
4
4
2
2
2
1
0
0
10
8
24
8
8
0
8
0
0
0
0
0
0
8
0
16
8
24
0
16
16
0
0
0
0
12
32
0
2
2
1
16
16
0
0
0
0
8
8
8
0
0
0
22
4
8
8
8
0
0
0
0
16
8
8
8
0
0
8
0
8
16
0
0
1
0
8
8
0
24
16
16
16
16
8
0
8
0
0
8
0
48
0
0
0
0
0
0
0
8
0
5
4
4
4
0
0
0
0
0
16
0
8
8
4
4
16
16
16
0
8
8
8
0
8
8
0
0
17
17
17
17
0
0
8
8
8
8
8
8
8
0
0
8
8
1
0
0
0
0
0
8
8
8
8
8
16
16
16
16
8
0
0
0
0
0
0
0
17
50
13
0
4
4
16
0
8
0
0
0
17
17
8
8
4
4
4
4
4
8
8
21
0
0
2
1
1
0
0
8
0
0
8
8
8
8
8
0
0
2
2
24
0
0
16
16
8
0
0
16
16
0
0
0
8
8
0
0
0
0
0
0
0
24
24
24
8
8
8
0
0
0
0
0
16
0
16
16
16
8
10
10
10
8
8
0
0
0
0
0
0
16
16
0
8
8
57
2
2
2
4
4
16
48
0
16
0
0
0
0
0
8
8
8
0
0
1
0
0
32
0
0
8
8
8
8
8
0
0
16
16
16
4
4
8
8
8
8
22
16
18
18
16
16
8
0
0
0
8
0
8
0
8
8
0
0
1
0
0
16
0
0
4
8
0
8
8
16
0
0
0
0
8
8
0
0
0
1
2
0
4
16
0
4
4
9
8
0
0
0
16
8
8
16
16
16
0
0
0
0
0
0
28
28
4
4
2
4
1
4
8
0
0
8
16
0
8
8
8
0
0
0
0
8
0
0
16
1
1
0
2
0
0
0
0
0
0
0
0
0
8
8
0
4
0
8
26
0
0
0
0
0
8
16
0
0
0
2
0
4
0
0
8
24
16
0
16
16
12
0
16
16
16
0
0
0
4
0
0
0
0
33
33
0
8
0
16
16
8
8
8
8
8
8
0
0
0
8
8
8
8
16
0
2
48
8
8
8
8
0
8
32
32
8
8
8
8
8
8
0
32
16
0
0
2
2
8
0
0
16
16
0
0
0
8
8
8
16
16
4
8
16
0
4
4
8
16
0
0
0
16
0
0
0
5
4
0
0
0
0
0
12
2
0
0
0
0
0
0
0
2
3
8
8
0
0
8
8
8
0
16
16
1
8
0
8
8
0
0
1
0
16
0
12
12
1
1
8
0
0
0
0
0
0
0
8
8
0
4
0
16
16
16
8
8
4
4
4
8
8
8
16
8
0
0
16
16
8
8
4
0
0
4
0
16
28
8
8
16
0
0
0
8
40
40
0
4
4
8
8
8
0
0
16
32
32
0
8
8
8
8
8
16
20
4
0
2
2
0
1
8
1
1
2
8
8
0
0
8
0
0
1
4
0
32
2
1
16
8
0
0
0
0
0
0
0
8
8
0
0
6
0
0
1
0
24
4
4
0
0
0
16
16
16
8
0
6
6
8
8
0
16
16
0
0
0
0
0
8
1
0
0
16
16
16
16
16
0
4
8
0
0
0
0
24
24
24
8
8
8
17
17
8
8
21
0
0
0
8
2
2
2
0
0
0
0
20
0
0
4
0
16
0
16
16
0
0
8
0
8
0
0
0
0
0
2
0
0
0
0
0
0
16
16
0
0
0
0
10
8
0
8
8
8
8
8
0
0
0
0
0
16
0
16
0
0
0
1
0
0
0
8
8
0
0
0
4
16
2
0
16
25
0
0
0
8
1
1
4
4
8
16
20
4
8
8
0
0
0
0
18
20
16
0
0
25
8
12
0
18
0
0
0
16
16
16
16
16
16
0
8
8
8
28
4
24
24
24
0
0
5
5
0
8
8
48
16
16
0
16
8
8
0
0
0
0
0
16
14
20
8
8
1
8
0
10
6
2
1
16
16
0
1
17
17
0
2
2
6
2
2
0
0
8
8
8
8
2
0
0
0
0
0
0
8
0
0
8
11
0
0
0
0
0
0
0
0
0
0
4
4
4
4
16
16
1
8
0
0
0
16
0
0
0
0
8
8
8
8
8
1
1
32
32
0
0
0
0
0
0
0
8
0
16
16
16
16
8
8
2
16
16
16
8
8
16
0
0
8
0
0
18
18
1
0
1
0
0
16
16
0
0
8
8
8
0
16
0
0
0
18
8
8
8
8
8
8
8
8
0
0
0
0
16
18
8
0
0
8
8
0
8
8
8
16
0
4
0
16
16
4
4
1
1
8
8
8
8
8
8
8
8
8
0
0
8
0
8
4
4
4
4
4
4
0
0
0
0
16
16
16
8
8
21
0
8
8
8
8
8
8
8
8
8
16
8
0
0
0
24
24
16
16
16
16
16
24
53
53
53
0
16
0
0
8
0
2
2
8
4
17
17
17
2
16
0
6
32
32
8
8
8
0
0
0
24
16
16
1
1
8
0
2
0
4
16
0
0
0
1
1
4
4
0
0
0
0
0
8
0
0
8
0
8
8
8
4
4
0
16
0
0
16
0
0
8
16
16
16
0
0
8
8
4
4
10
0
0
4
0
0
0
8
8
8
0
8
16
8
0
0
0
20
20
4
16
12
0
0
0
0
10
5
2
0
0
0
48
32
48
16
16
0
0
0
24
0
0
0
0
0
0
0
8
0
4
1
0
4
0
1
2
1
1
0
0
0
20
0
0
8
8
8
0
0
2
3
1
36
36
4
4
0
0
8
16
16
16
0
9
8
0
0
0
4
4
2
8
8
8
0
0
8
8
8
24
1
16
0
0
6
6
0
8
8
8
8
8
16
16
8
16
8
0
8
8
8
8
16
16
16
16
1
8
0
0
8
8
16
16
1
1
8
0
24
24
16
8
0
8
0
0
0
16
0
16
16
46
0
0
0
0
0
0
24
8
25
8
8
8
0
0
0
4
18
8
0
0
8
0
0
16
8
8
8
8
0
0
8
8
0
8
8
16
0
8
8
8
2
2
2
1
8
8
8
8
0
0
16
0
0
0
8
10
10
0
0
0
0
8
8
0
8
8
8
0
0
8
0
8
0
0
0
0
0
0
0
0
8
16
8
0
18
0
8
8
9
9
8
12
8
8
24
8
8
2
16
8
28
20
2
2
0
0
2
1
4
4
0
6
0
8
8
0
0
0
2
8
8
8
8
8
8
0
4
12
0
10
0
0
8
0
4
8
0
16
16
16
16
16
16
16
29
29
2
8
0
8
8
0
8
0
1
0
0
0
0
0
0
5
1
0
2
2
8
8
0
16
8
16
0
0
0
0
0
8
24
0
4
4
4
4
4
4
4
1
1
0
8
8
16
0
0
16
16
0
0
0
0
0
0
0
0
8
32
32
32
32
0
0
2
2
8
14
14
24
8
0
1
16
0
0
0
16
32
8
0
10
0
0
0
40
16
0
0
8
8
0
0
0
0
8
8
0
8
8
8
8
0
8
8
8
8
24
2
2
2
2
2
0
0
0
0
0
0
0
8
16
0
0
0
0
0
0
0
0
8
8
8
59
8
0
16
16
16
16
16
16
16
16
16
16
0
0
12
8
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
24
24
24
24
24
2
8
16
16
12
8
8
0
0
0
0
0
0
0
24
4
0
0
8
8
8
26
8
0
0
0
20
8
8
8
8
0
16
0
0
0
0
16
8
8
1
0
8
8
0
8
10
41
8
8
8
8
20
16
16
8
8
24
8
8
8
8
8
8
0
2
0
0
5
20
0
0
0
8
0
0
8
16
20
16
8
8
0
0
4
16
16
16
4
20
0
0
0
0
0
0
8
0
0
16
6
0
0
24
24
2
2
2
0
16
16
0
8
0
0
0
16
0
2
0
0
0
0
16
16
0
0
0
0
0
16
16
16
0
0
8
0
4
0
4
4
16
0
0
0
16
16
16
0
1
1
1
4
16
4
0
0
4
0
1
0
16
8
18
8
24
0
0
0
0
16
16
0
0
0
0
24
0
9
2
8
24
4
4
4
0
8
8
24
0
0
24
0
8
8
8
24
0
16
8
16
0
18
0
8
8
1
0
0
0
0
16
8
0
8
0
24
0
9
0
0
0
8
0
5
5
0
0
2
2
0
1
17
16
0
0
0
16
16
24
24
0
4
4
1
12
12
8
2
2
4
0
11
8
1
0
0
8
8
0
18
2
2
8
4
0
2
2
2
2
16
0
4
16
16
16
0
8
8
0
0
8
8
0
0
0
1
1
8
4
8
8
4
12
1
0
16
8
24
0
0
8
8
0
0
8
8
0
24
32
0
24
16
16
16
0
0
0
0
8
8
0
16
0
0
8
12
0
1
1
8
8
30
0
8
0
16
8
8
0
0
0
1
4
16
4
26
8
8
8
8
0
0
16
16
8
8
16
0
0
8
16
4
0
0
4
0
8
16
8
16
0
0
8
8
8
12
3
0
0
0
0
16
0
0
0
24
8
16
4
16
8
0
0
2
2
2
2
24
16
16
0
0
0
16
0
8
8
8
16
0
4
0
0
8
8
8
8
2
0
16
16
16
17
0
0
0
4
24
24
17
17
4
0
8
0
8
8
0
8
4
16
16
16
16
8
0
1
16
0
1
0
0
0
0
8
8
8
8
8
0
0
0
0
24
8
16
16
16
0
22
0
0
2
2
2
0
16
16
8
0
0
16
16
16
16
16
8
8
0
0
0
4
2
2
0
4
2
0
0
0
48
8
0
0
48
0
16
16
0
0
5
0
36
16
0
1
1
0
0
16
0
0
0
0
0
8
8
8
8
16
0
0
0
0
0
0
0
0
8
2
4
0
32
2
16
8
8
0
0
8
8
8
8
0
8
8
0
0
0
0
8
0
8
8
8
8
0
0
20
20
4
0
4
0
1
0
0
0
8
8
8
16
8
0
8
8
4
17
1
2
2
0
0
24
0
0
0
0
0
0
0
16
16
2
2
0
4
4
4
1
8
0
20
20
1
16
16
16
0
2
0
4
8
0
8
0
0
0
0
4
4
8
8
0
0
0
58
58
21
21
4
8
16
16
16
16
0
8
0
0
8
8
8
24
4
4
8
0
8
0
0
8
8
8
8
8
8
16
0
8
0
16
0
8
8
0
0
10
10
10
16
8
8
8
0
1
8
8
8
0
16
24
16
0
0
8
8
8
1
1
24
0
0
16
8
4
0
8
8
8
8
16
0
0
0
0
0
24
24
24
0
0
12
8
4
2
8
0
0
0
0
0
2
0
0
2
8
0
0
2
0
0
8
0
8
9
28
28
0
16
0
32
0
0
16
0
16
16
8
0
4
16
16
16
8
16
0
16
8
8
8
14
0
0
0
0
8
8
8
8
8
8
8
8
1
1
2
0
8
8
8
0
0
0
16
8
8
8
24
0
8
16
0
8
9
8
8
8
8
8
2
8
8
0
0
8
8
8
8
0
36
0
0
0
0
0
8
0
0
0
0
43
43
16
0
16
16
8
2
8
7
0
4
4
16
0
0
1
0
0
8
8
0
8
0
1
8
8
0
16
10
16
16
16
16
8
0
0
16
8
2
0
2
2
2
8
8
0
3
0
40
8
0
0
0
0
0
0
1
1
1
1
8
0
8
16
0
20
20
16
16
0
10
8
0
0
0
4
4
4
4
0
0
0
0
8
8
8
9
0
0
0
1
0
0
0
0
0
16
9
8
0
16
20
16
16
16
16
16
0
0
0
0
10
2
2
0
2
16
8
0
16
0
0
0
28
0
0
0
8
8
8
8
8
0
2
2
0
2
0
16
8
2
2
0
0
16
16
0
0
16
16
4
4
20
16
16
0
8
8
16
16
4
4
32
0
8
8
4
0
0
8
11
11
16
8
16
0
0
0
0
8
0
0
0
1
8
16
8
8
8
8
16
8
8
8
8
8
16
0
2
2
16
0
0
0
0
0
8
0
0
0
8
0
32
32
0
0
0
0
0
0
0
16
16
16
40
16
8
8
8
16
4
0
0
2
8
0
16
16
16
0
2
2
2
0
0
8
1
0
0
0
2
0
16
16
0
0
8
8
8
1
46
0
0
18
0
0
0
0
0
16
16
0
2
2
0
0
0
8
8
16
16
16
16
16
8
8
0
0
8
8
4
4
0
25
25
2
16
10
0
0
0
16
0
0
0
0
0
16
8
8
16
0
0
0
8
0
0
0
0
16
16
16
18
16
16
16
1
1
1
0
8
0
0
4
1
0
4
4
8
0
0
0
0
8
5
8
8
8
8
8
8
10
2
2
0
0
0
0
8
0
0
0
0
0
0
0
0
0
4
8
8
8
0
0
0
0
8
1
24
8
8
8
20
8
8
8
8
8
16
0
0
4
13
8
8
8
0
0
0
24
8
0
0
0
8
0
0
4
4
4
0
8
8
8
8
8
0
4
1
0
2
2
0
0
8
8
1
8
2
2
0
8
8
8
16
8
16
0
8
0
0
8
8
4
4
0
0
8
0
0
0
0
8
16
0
9
0
16
24
8
8
8
24
0
0
8
0
0
0
0
8
16
16
0
18
18
0
8
0
0
0
0
0
8
8
0
0
8
8
0
0
0
0
0
1
0
8
8
8
0
0
0
16
16
16
16
16
0
4
32
24
8
16
0
0
0
8
4
4
4
0
0
16
16
5
1
1
4
40
40
8
0
8
8
8
0
8
40
32
0
16
24
16
8
8
1
12
0
0
8
8
8
8
16
16
16
0
8
0
0
0
24
24
8
0
8
16
16
16
16
0
32
0
24
0
0
0
2
2
0
25
25
1
0
0
0
0
32
32
32
18
18
1
33
0
0
16
4
4
4
0
16
16
16
0
28
0
8
8
0
0
0
2
2
4
4
12
8
8
8
0
0
16
4
4
0
2
1
1
14
14
8
0
0
0
2
4
4
0
0
0
24
0
0
0
0
0
8
8
16
16
4
20
1
16
16
8
8
0
0
0
0
4
4
4
1
1
16
0
24
8
0
0
0
8
16
16
16
8
8
2
2
0
0
20
8
0
8
0
0
0
0
0
8
8
8
0
16
0
8
16
0
8
0
0
0
0
16
0
6
16
16
3
1
0
8
8
8
8
16
16
8
18
8
8
8
0
16
0
8
8
0
0
16
16
8
16
16
0
0
16
0
0
0
0
8
0
16
4
8
20
0
0
16
4
8
8
24
1
1
1
1
2
2
2
0
16
8
0
32
32
0
8
8
8
0
0
16
16
0
2
2
0
0
0
8
16
0
0
0
48
4
4
8
0
0
16
16
24
16
8
16
16
16
2
20
4
0
40
0
0
0
0
4
12
8
8
8
0
0
0
0
8
8
8
4
4
4
0
1
0
0
4
4
8
1
8
8
8
34
0
0
7
0
0
16
16
0
0
8
8
8
0
0
0
8
0
0
0
16
1
1
33
0
8
8
8
12
0
1
0
8
8
0
0
8
0
0
0
0
8
1
4
20
0
0
16
4
10
8
0
18
16
8
0
0
0
1
10
4
0
0
16
16
42
0
16
16
8
26
0
0
4
37
8
8
0
16
8
16
16
4
0
0
0
0
0
4
11
0
0
8
0
0
0
0
0
16
0
8
8
1
0
0
2
8
8
16
16
16
0
0
4
2
0
8
8
8
8
8
0
0
8
8
0
4
1
1
1
1
8
8
0
0
0
52
52
0
0
1
1
0
0
4
4
8
45
4
12
4
16
0
2
2
8
2
16
1
1
1
1
1
40
40
40
8
4
16
0
0
0
16
24
0
8
8
8
8
8
0
8
8
0
0
0
0
0
16
0
8
8
8
8
1
1
16
8
8
8
8
2
8
8
14
0
0
0
0
0
4
18
1
1
0
16
16
8
8
8
8
8
8
0
0
8
0
0
8
10
10
0
0
0
0
0
16
16
0
1
0
0
8
16
16
2
0
16
16
0
16
2
0
16
0
4
4
8
0
8
8
8
0
0
0
0
0
6
6
0
0
0
9
10
10
10
8
8
24
0
0
0
0
8
0
8
8
16
1
8
0
0
0
0
1
1
0
0
0
0
16
16
0
0
16
8
4
4
16
0
0
0
4
16
20
16
0
1
16
16
16
16
8
12
0
0
0
0
8
16
0
12
0
0
16
16
0
0
0
0
16
8
4
4
0
0
8
0
0
0
8
0
40
40
16
8
12
16
0
2
2
2
6
6
6
0
0
0
8
8
8
8
17
8
8
8
1
1
8
8
0
0
0
0
16
0
16
8
16
16
16
24
24
18
8
24
0
0
0
12
12
8
4
0
0
16
20
0
0
16
0
0
8
0
2
8
16
16
2
0
0
8
0
0
0
0
0
0
0
0
8
8
0
16
0
0
0
0
0
9
0
0
0
0
0
8
8
4
16
0
2
0
18
0
0
0
32
4
2
8
16
24
6
6
6
6
8
8
8
0
0
0
0
8
16
18
4
0
16
2
0
0
8
8
0
0
0
1
1
0
0
8
8
2
8
8
8
0
0
8
0
4
20
8
8
8
0
0
0
6
36
36
0
0
0
0
2
8
0
8
0
0
8
8
8
8
8
8
8
0
0
0
0
36
0
8
0
8
8
0
0
2
0
0
0
0
0
0
8
16
0
16
16
4
0
16
16
0
0
0
0
0
8
8
8
20
4
16
16
0
22
22
8
0
0
16
16
16
32
0
8
8
0
0
0
16
10
0
16
8
0
8
1
1
8
8
8
0
0
0
8
0
0
8
0
0
0
12
12
0
0
0
8
2
2
2
16
32
8
8
8
1
8
1
0
4
0
0
8
8
0
10
4
1
0
0
1
0
4
0
0
0
0
0
0
8
8
4
8
8
1
0
10
10
8
8
8
8
8
8
16
16
16
16
0
0
0
4
16
2
4
8
8
8
0
0
16
17
0
0
0
0
24
24
1
1
16
16
0
16
16
16
16
16
0
0
24
24
0
16
16
16
16
16
4
0
8
0
8
0
8
0
0
0
0
2
2
0
8
8
0
8
8
8
24
24
24
24
36
36
0
0
0
0
16
16
16
16
0
0
0
0
0
16
0
6
2
0
8
2
0
28
8
8
14
14
14
4
4
8
8
0
8
16
0
16
0
0
0
18
19
0
0
0
0
0
16
0
0
8
8
8
8
8
2
0
24
24
4
16
16
0
0
0
0
8
8
0
0
0
28
16
8
0
8
0
10
8
4
16
0
0
1
1
1
1
1
4
4
8
24
8
0
0
16
0
0
1
16
16
8
0
28
28
1
1
8
16
16
0
0
0
0
4
4
4
4
4
8
8
0
0
0
0
0
0
0
0
16
4
0
0
0
0
8
8
0
8
0
4
0
0
24
24
16
0
0
0
0
0
0
0
8
0
0
1
16
8
8
8
0
0
2
2
1
16
24
24
16
0
8
8
16
0
0
16
16
1
1
0
0
0
0
0
32
0
4
4
16
16
16
8
8
0
0
0
0
0
0
0
0
4
0
0
0
25
0
8
0
0
0
8
0
1
1
0
8
1
0
0
0
0
8
8
0
8
52
8
8
0
0
1
1
0
0
0
0
1
1
1
0
8
8
0
0
17
8
4
12
0
1
1
1
0
16
18
18
18
18
1
8
8
0
12
12
8
2
4
2
0
0
8
0
16
0
0
0
0
16
16
0
0
8
8
0
8
8
16
0
0
16
0
16
0
2
18
52
0
0
8
8
8
27
16
16
2
0
8
8
4
4
0
0
0
16
16
24
0
0
8
8
4
4
16
4
8
8
8
8
8
8
16
8
16
16
16
0
0
0
0
0
0
0
2
27
12
0
8
8
25
0
8
8
8
0
1
27
1
0
0
0
8
0
0
2
2
2
2
1
1
1
8
8
8
8
0
8
8
8
8
0
1
1
2
2
0
8
4
6
6
4
4
16
2
2
0
0
52
16
8
0
8
8
0
0
16
0
0
16
0
0
16
16
16
0
8
8
14
6
0
4
0
3
3
3
3
2
8
1
1
1
8
8
16
8
0
8
4
5
5
0
16
32
0
0
1
0
0
1
0
4
8
8
8
8
8
8
8
8
0
0
0
0
0
0
0
0
16
16
16
16
8
0
8
18
1
1
0
8
8
0
8
0
20
8
2
0
0
30
0
0
8
8
10
16
4
0
2
16
16
8
4
24
24
24
24
1
1
0
4
0
0
8
8
0
0
0
4
0
0
0
16
8
8
0
24
4
4
0
1
1
1
1
1
0
8
8
6
16
2
16
20
20
24
24
24
1
1
1
1
1
1
1
2
2
2
0
1
1
0
0
0
0
16
0
8
0
17
1
1
16
0
16
6
0
8
8
16
16
8
8
8
0
2
0
16
0
0
0
0
0
4
1
17
0
0
0
0
0
6
8
8
0
0
0
0
0
0
2
2
16
0
17
8
0
0
0
48
48
8
8
12
0
0
0
8
8
8
8
8
9
0
1
0
0
0
0
0
0
8
0
0
16
16
16
8
8
8
8
0
0
0
0
0
8
8
16
18
18
18
32
33
18
0
4
4
32
0
0
0
0
8
9
0
0
34
34
0
8
4
0
0
0
8
4
0
16
0
4
4
1
1
0
0
8
8
8
24
0
0
8
0
4
4
0
8
8
0
0
16
16
8
0
0
8
8
16
16
1
1
0
26
10
2
2
2
0
0
0
16
8
8
2
16
0
4
8
8
4
4
0
8
1
0
0
0
0
0
0
0
0
4
0
0
24
24
0
8
8
0
0
4
0
0
16
8
32
8
16
0
20
8
16
16
36
0
0
0
0
0
0
0
0
0
16
0
8
8
0
0
4
4
0
0
0
4
0
0
4
0
16
8
8
8
16
4
0
16
0
0
0
0
1
2
0
0
0
0
16
26
0
16
16
16
8
8
8
8
0
0
0
1
1
0
0
0
0
8
4
0
16
32
0
0
16
8
2
0
4
4
4
4
8
4
4
1
0
0
0
0
0
8
16
0
16
16
1
0
0
0
4
0
0
0
1
0
1
8
8
8
8
2
2
0
16
0
24
24
24
24
24
0
0
0
8
0
0
2
16
16
1
1
1
0
0
0
0
4
4
1
1
0
1
18
0
0
20
20
8
8
8
0
0
0
16
16
0
0
0
0
0
0
2
0
0
8
8
0
0
0
16
16
0
30
8
0
0
0
0
16
9
36
5
5
5
17
8
8
0
18
18
18
8
0
0
8
0
0
2
0
8
8
24
0
0
0
0
8
8
0
0
0
8
16
16
0
0
16
28
16
0
8
17
16
16
16
16
4
8
0
16
5
4
8
8
8
8
0
16
16
16
8
8
0
0
0
0
0
0
0
0
0
16
16
24
0
0
0
4
4
0
1
1
1
1
1
16
0
0
0
0
0
0
1
0
0
0
16
0
0
8
1
0
8
0
0
2
0
0
0
0
0
5
21
5
4
0
16
0
0
16
16
16
0
4
16
16
0
25
28
8
12
0
16
16
16
8
8
20
2
8
8
0
0
0
8
8
0
16
16
16
2
2
2
0
0
0
0
0
0
0
0
4
1
1
1
0
4
40
40
40
8
1
1
8
16
0
0
24
8
8
8
0
2
2
2
2
2
16
0
8
16
26
8
8
16
16
16
16
16
16
0
40
59
0
0
34
0
16
16
16
10
0
0
0
0
16
8
8
0
0
0
0
6
6
0
16
8
8
8
0
16
16
8
0
0
8
8
0
0
8
2
32
32
16
16
16
16
0
0
4
4
4
4
0
0
0
8
8
16
16
4
4
4
0
17
8
0
5
0
8
16
0
13
0
8
0
0
0
8
18
18
8
8
8
8
8
8
0
0
0
0
0
0
8
0
8
8
8
8
8
8
8
6
0
4
4
0
0
0
8
59
59
1
4
4
0
0
0
8
17
17
0
8
0
0
16
0
0
8
1
1
0
0
8
8
8
8
4
2
0
16
16
8
8
32
32
8
16
0
0
0
32
32
32
0
0
0
0
0
0
8
0
8
8
9
0
0
32
32
32
0
0
0
0
0
8
4
0
20
0
16
16
16
0
0
8
16
16
24
2
34
25
0
0
32
32
0
0
0
0
0
16
3
8
0
0
0
0
0
0
16
8
0
8
8
16
0
0
1
8
8
8
0
0
0
2
24
2
8
8
8
8
16
24
24
24
24
2
2
2
1
1
0
16
16
1
1
0
0
2
12
18
16
16
8
0
0
0
0
0
8
8
0
1
1
0
0
16
0
16
2
4
4
0
20
1
1
4
4
4
4
0
0
0
16
18
16
16
16
16
16
16
4
4
4
4
16
16
4
0
0
8
8
0
0
0
0
0
8
8
8
0
8
8
8
8
8
0
0
0
24
24
16
16
8
0
4
8
8
0
0
10
2
2
0
2
48
48
24
0
0
50
50
0
8
0
0
0
24
4
24
0
0
22
1
1
0
16
2
0
16
0
0
0
0
16
16
8
0
0
0
1
16
0
0
4
2
6
0
6
16
1
1
1
0
4
0
4
14
24
24
0
16
26
0
0
0
0
16
0
0
0
4
1
8
1
0
0
0
8
0
0
8
8
8
8
2
8
8
8
16
8
0
0
0
0
0
0
16
16
5
6
2
0
0
2
16
16
16
0
8
0
0
8
8
8
8
8
0
4
8
8
8
4
0
0
2
0
20
0
8
33
0
16
8
45
0
8
16
1
1
1
2
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
16
8
8
0
2
20
0
0
0
0
16
0
0
16
24
16
24
8
0
0
0
0
0
0
16
24
24
8
12
4
16
16
0
0
0
4
0
0
8
8
0
0
0
8
16
16
16
16
0
16
16
16
2
18
0
0
16
16
16
16
8
17
32
16
0
0
0
8
0
0
8
0
0
0
0
8
8
0
8
8
0
12
8
0
4
0
16
8
0
0
0
0
0
0
0
0
0
8
2
53
53
8
8
0
0
0
8
8
0
8
0
0
0
0
0
0
0
0
0
0
16
0
0
0
8
0
16
30
24
0
16
16
16
8
0
4
41
8
8
8
0
2
2
8
8
0
0
0
8
0
0
0
0
8
0
0
8
8
0
1
1
16
20
16
16
0
1
25
1
1
8
8
8
0
20
0
0
0
0
0
16
0
8
8
8
8
5
0
1
1
0
0
4
2
0
0
24
24
24
0
0
0
2
16
16
0
0
8
8
8
0
4
0
0
0
4
2
2
2
8
8
0
0
9
9
20
16
16
0
24
24
24
2
0
16
16
16
0
50
50
0
0
0
9
0
0
8
16
16
16
0
0
20
0
22
8
0
0
0
0
0
8
8
8
8
0
8
8
8
8
8
8
8
8
0
8
4
9
4
4
0
0
18
18
16
0
32
8
8
0
0
8
16
16
16
16
0
0
28
8
8
8
0
0
0
17
8
8
8
20
20
20
0
0
2
2
0
0
8
0
16
0
8
16
8
24
4
0
0
24
0
8
8
0
0
0
0
0
0
0
8
8
0
8
8
0
1
1
0
0
0
4
24
8
8
8
0
0
0
2
10
10
8
4
4
4
0
0
0
0
0
0
0
0
8
0
0
8
8
0
0
9
8
0
0
4
0
2
2
8
4
0
0
0
0
0
1
1
0
0
16
2
2
8
8
0
1
1
8
8
8
8
8
24
8
16
8
4
0
0
8
16
0
32
16
16
16
0
0
8
8
8
0
0
8
8
16
0
0
0
0
0
0
0
8
8
0
13
13
0
0
24
8
0
0
2
0
4
0
8
8
8
8
0
6
6
0
0
1
16
16
0
16
16
16
0
0
8
8
2
16
20
2
2
0
0
8
0
0
0
8
8
0
0
0
0
0
0
16
16
8
0
0
0
16
16
8
8
8
8
8
8
8
0
6
6
0
1
0
8
8
8
8
24
8
1
20
0
0
0
8
0
0
0
0
0
0
8
4
4
6
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
8
2
8
8
1
1
37
0
6
8
0
0
0
0
0
0
0
0
16
16
0
8
4
4
4
20
20
8
0
18
18
0
0
37
37
0
0
0
0
0
16
0
0
16
8
8
16
8
0
0
0
0
16
16
8
10
4
4
4
0
0
0
0
16
16
16
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
21
21
21
21
1
0
8
8
4
8
16
0
4
8
8
0
0
1
1
16
0
0
0
0
0
0
2
8
0
0
0
9
4
0
0
8
0
16
0
0
24
24
8
8
8
8
8
0
18
0
0
0
8
0
0
24
24
0
2
2
2
2
8
2
0
0
2
4
4
8
0
0
0
0
0
8
32
32
0
0
8
0
33
0
28
0
4
4
8
8
49
2
0
0
8
0
0
0
0
8
8
0
2
0
9
9
9
4
0
1
0
2
1
0
8
8
0
2
2
0
0
0
0
0
0
0
8
0
0
0
16
2
8
0
0
0
0
0
24
8
16
16
8
4
4
4
4
4
4
4
8
0
16
0
0
0
0
16
0
8
0
16
16
16
8
8
8
8
0
16
0
16
8
8
16
8
8
8
8
0
0
0
0
0
1
16
0
0
0
0
0
4
0
0
0
0
16
16
4
0
18
16
16
0
8
8
8
8
21
0
16
16
16
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
8
8
16
16
0
8
8
0
0
0
0
12
12
0
16
16
0
24
24
0
0
0
0
16
0
16
10
1
4
16
8
2
8
16
16
8
8
8
0
8
16
0
0
0
0
24
8
8
8
0
0
2
8
0
16
16
20
0
0
0
4
2
0
0
8
8
0
0
0
6
6
0
8
0
0
40
40
0
0
1
1
0
0
0
0
0
8
8
0
8
8
8
8
0
1
1
1
16
0
8
0
0
0
0
0
0
0
8
40
8
8
0
0
0
0
4
0
0
16
16
0
0
0
0
8
4
4
0
0
0
8
0
0
0
0
0
2
2
16
16
4
4
4
12
12
8
16
8
20
8
0
0
0
0
8
8
0
0
1
9
9
12
0
0
8
8
0
0
0
8
0
0
0
0
16
16
8
8
8
4
0
8
8
8
0
0
0
0
8
1
8
13
13
8
8
0
0
16
37
0
0
0
4
0
8
17
17
16
0
0
0
4
18
0
16
18
0
0
0
0
0
4
0
0
0
8
8
4
4
0
0
8
0
0
0
1
1
1
0
0
0
0
0
0
0
0
2
2
0
16
16
0
0
0
2
2
8
8
0
0
0
0
18
16
8
0
0
0
8
24
8
4
42
0
0
4
4
16
16
0
4
4
24
8
8
8
8
0
0
0
0
24
16
16
0
16
16
16
16
0
0
2
2
16
22
22
0
0
0
0
8
1
8
16
8
0
0
0
0
0
16
0
0
0
0
18
25
25
0
0
0
0
16
16
28
8
8
0
0
0
0
22
22
4
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
0
0
24
0
8
2
0
0
0
0
0
0
0
21
0
0
8
20
2
2
2
1
1
2
4
0
8
0
19
19
8
16
8
0
0
14
9
0
8
1
1
0
32
16
16
16
1
0
0
0
0
0
8
2
0
0
0
1
1
32
32
0
16
16
16
0
16
16
16
0
0
4
0
0
8
8
8
0
0
4
8
8
0
15
8
32
8
0
0
0
0
12
4
16
16
16
16
16
16
0
0
8
32
0
0
2
16
0
0
0
16
24
0
16
16
0
8
8
8
8
0
0
0
0
8
8
16
0
0
0
2
0
0
0
0
0
0
0
0
0
0
10
0
25
0
0
5
1
16
0
0
52
52
0
0
0
0
8
16
0
0
0
2
16
16
32
8
8
8
8
8
8
25
16
0
0
0
0
2
2
0
8
6
6
6
17
17
32
8
8
0
0
8
16
0
24
8
2
16
0
0
0
16
20
0
2
2
0
16
0
0
8
0
0
0
0
8
0
0
8
8
16
16
16
18
0
0
10
8
0
8
8
0
0
0
8
22
48
16
16
16
4
4
4
4
0
0
0
8
8
0
18
18
53
32
0
0
14
14
14
16
8
8
8
4
0
2
2
2
2
16
24
0
0
0
0
0
24
24
24
8
8
8
8
8
8
8
0
8
8
8
8
8
16
0
0
8
8
8
8
4
0
0
0
0
9
4
8
8
8
8
8
0
4
6
6
0
4
4
0
0
0
0
12
0
0
1
1
0
0
4
4
4
4
0
0
0
4
4
0
0
0
4
16
4
4
0
8
4
0
24
4
8
8
16
16
16
16
0
0
0
8
8
8
8
8
16
16
0
0
12
8
24
16
16
16
0
0
0
0
8
8
8
0
8
8
0
0
0
16
16
16
16
0
0
2
8
0
24
16
16
0
56
56
0
1
0
2
8
8
8
8
8
0
0
8
8
8
24
24
0
0
8
8
17
16
0
0
0
0
0
0
0
0
0
2
2
2
8
16
58
0
20
0
0
4
2
8
2
2
8
0
0
8
8
0
0
24
8
8
8
16
0
0
8
8
0
0
0
0
0
0
4
0
0
8
4
4
0
0
0
16
18
4
0
6
6
2
5
0
0
0
16
16
16
8
8
0
0
0
24
32
0
0
8
8
0
8
8
8
8
8
8
8
0
0
0
16
0
0
16
16
32
16
0
28
4
4
1
0
32
8
0
0
0
0
0
0
8
0
0
0
0
0
0
2
0
0
2
2
8
16
16
16
16
8
14
0
0
0
0
0
0
0
0
0
0
0
0
16
0
16
16
16
16
16
16
16
16
16
0
0
8
8
0
0
0
8
4
8
0
5
24
24
16
16
0
16
0
0
16
0
0
2
0
16
8
1
8
8
20
0
16
0
0
8
4
4
0
0
0
0
12
12
0
0
8
8
8
8
8
0
0
0
0
8
0
8
33
33
33
16
0
8
48
0
6
6
8
16
16
16
16
10
10
0
1
1
32
32
8
9
16
8
16
16
16
16
4
8
1
33
33
8
8
8
8
8
2
0
0
0
8
0
16
0
0
8
8
8
8
8
16
16
2
2
0
0
0
2
10
0
0
16
8
0
4
0
0
0
0
0
8
2
2
2
2
0
0
0
32
8
8
16
16
0
0
2
1
0
0
0
0
0
0
16
16
8
0
0
0
0
16
20
0
8
8
0
18
18
0
0
1
1
1
8
8
8
4
4
0
0
16
0
0
0
0
0
0
0
8
8
8
0
0
8
8
20
0
0
0
0
0
0
16
16
8
8
24
24
24
8
0
8
17
1
0
0
0
0
16
0
0
8
8
16
0
8
8
8
8
8
0
0
8
0
8
24
24
16
0
4
0
0
0
32
4
8
8
8
8
0
0
8
0
0
8
8
8
0
0
16
9
4
8
8
16
4
0
0
0
0
16
0
0
0
0
0
0
0
8
8
8
8
6
8
0
0
0
0
0
8
8
8
0
16
8
44
4
0
2
2
48
48
48
48
38
0
24
2
9
9
16
16
0
0
0
0
0
8
8
0
8
1
1
2
2
0
0
0
0
20
0
0
0
0
0
0
0
1
1
12
0
0
1
1
8
0
8
8
0
0
12
0
0
16
0
4
4
0
0
0
0
0
0
0
0
0
0
8
0
8
8
8
1
1
8
0
0
0
8
8
8
16
0
2
16
4
0
2
2
0
0
4
0
0
0
8
1
0
0
16
16
2
2
2
8
0
0
0
0
0
0
0
0
0
0
0
4
2
0
0
0
0
28
8
0
0
0
0
0
8
0
19
0
0
0
0
4
0
8
8
8
0
4
4
4
0
0
0
2
2
0
0
0
8
0
8
0
16
16
16
16
16
0
0
4
4
4
4
0
10
0
0
0
0
8
0
8
8
0
0
8
12
8
16
16
0
8
8
8
17
17
28
28
0
8
8
14
0
0
1
1
16
16
0
9
0
0
8
18
18
0
1
5
5
0
0
0
0
16
16
16
16
1
0
12
12
0
8
8
0
0
16
2
8
8
0
0
2
2
0
0
0
17
18
18
2
16
28
0
0
0
2
8
8
8
0
4
8
0
1
0
0
0
0
12
12
0
0
2
16
8
8
8
0
0
8
8
0
8
0
32
32
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
4
0
24
8
8
8
8
8
8
1
1
1
1
4
4
0
0
0
0
16
16
16
0
10
0
0
0
8
0
0
0
8
0
1
1
1
5
0
0
8
33
4
40
27
27
8
8
0
0
8
8
8
4
10
16
0
24
0
0
0
0
16
2
44
44
4
4
0
1
1
0
1
2
2
4
4
4
4
16
8
9
1
0
0
0
41
0
8
8
8
0
26
8
8
16
0
0
0
17
1
1
25
8
0
0
0
0
24
24
24
24
0
2
0
0
16
0
8
8
16
0
4
4
22
8
12
8
8
16
0
0
0
4
4
8
8
0
0
0
0
0
0
0
0
0
20
0
0
0
2
0
0
0
0
9
16
16
8
0
0
0
0
0
0
0
8
8
1
1
4
8
0
1
1
1
1
8
4
8
4
4
0
0
0
16
4
4
0
0
0
0
1
0
8
16
16
24
24
24
24
0
0
8
8
0
0
0
1
1
32
0
0
0
8
1
56
4
3
3
0
16
8
16
16
24
16
14
0
0
4
4
1
16
0
0
0
0
0
1
0
0
0
0
1
0
0
8
8
8
16
0
0
0
0
0
1
1
16
0
8
8
24
4
8
4
0
0
0
1
2
0
0
8
8
1
0
8
0
0
4
1
1
8
8
8
8
8
0
8
16
0
0
0
0
32
32
32
0
0
0
0
8
8
6
8
0
14
14
0
6
8
0
0
18
0
0
0
0
8
0
8
0
0
0
0
8
8
0
0
16
16
2
0
0
0
0
0
0
0
9
0
2
2
0
0
20
0
0
32
32
32
0
0
8
16
8
0
0
0
0
8
0
4
4
8
0
8
4
4
16
0
0
0
16
0
0
2
2
0
0
0
0
8
8
17
17
8
8
0
8
0
0
0
0
8
8
8
16
8
8
8
0
0
0
0
1
8
0
16
16
16
16
1
0
0
0
4
4
4
2
0
4
0
0
4
4
2
0
0
0
0
17
0
0
0
0
0
0
60
24
0
32
16
16
1
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
2
32
32
32
0
0
0
49
49
32
0
8
0
8
20
20
20
16
0
2
4
4
16
0
0
8
0
0
0
8
8
0
16
0
0
4
0
24
24
0
24
24
1
0
0
0
1
1
16
0
0
36
0
4
0
8
8
8
8
0
8
8
8
2
2
0
8
3
3
32
32
24
24
24
24
0
0
0
0
2
16
0
8
8
0
0
0
4
4
4
4
36
2
0
8
0
0
0
24
16
0
0
0
0
0
0
1
1
0
18
0
18
0
1
0
0
0
0
0
8
8
4
4
4
4
16
16
16
16
24
2
0
4
16
16
0
8
16
1
0
0
2
2
2
1
16
0
0
0
1
1
0
0
10
4
43
0
16
16
9
9
0
8
16
16
16
16
0
0
0
0
8
8
1
1
0
0
4
8
0
0
16
16
0
0
8
0
0
8
1
0
0
16
16
1
8
8
4
4
32
4
8
8
8
8
16
0
8
8
32
0
8
8
8
8
16
29
29
0
0
2
0
8
8
28
28
16
8
0
2
0
0
32
32
0
16
16
20
0
16
16
16
8
0
0
0
1
0
0
0
16
4
0
0
16
16
8
0
1
6
0
8
8
16
8
8
0
22
8
0
0
0
4
0
0
16
0
0
0
0
0
0
0
40
0
0
4
8
32
32
0
8
0
0
12
0
1
1
8
8
8
0
12
8
16
0
0
0
0
0
0
56
0
16
16
8
4
0
0
0
8
0
8
1
8
20
0
8
8
16
8
0
0
0
0
40
8
16
25
25
16
16
0
0
0
0
0
16
16
0
0
26
0
16
0
0
0
0
16
16
16
0
0
8
8
4
0
0
0
0
0
0
0
16
16
16
0
0
24
0
8
0
24
24
1
1
4
16
0
0
0
13
0
54
54
16
2
2
0
0
0
0
8
0
0
0
0
0
17
4
4
0
0
0
16
16
28
28
4
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
8
8
8
0
0
1
0
0
0
4
4
0
0
0
0
0
9
4
4
4
4
24
0
0
16
16
0
16
0
2
0
8
8
8
8
16
2
2
2
1
1
0
0
0
0
0
0
0
8
8
8
0
0
8
8
0
8
8
0
0
0
0
0
18
2
2
8
24
24
0
0
0
0
0
1
8
0
16
0
32
8
16
16
16
16
0
0
8
6
0
0
0
8
8
8
0
0
0
0
0
16
16
16
16
16
16
20
1
1
6
6
6
0
0
8
16
16
16
0
0
0
3
2
2
2
8
8
0
6
6
6
6
2
8
8
22
18
8
24
24
4
4
1
1
1
16
16
0
0
0
8
0
0
1
1
0
0
0
0
16
16
16
16
16
0
0
16
0
16
0
0
0
0
0
0
0
0
0
0
16
0
0
8
8
33
0
8
8
0
0
16
8
0
0
16
17
0
0
16
16
0
0
8
8
0
8
8
8
16
16
0
0
18
6
56
8
8
0
0
0
0
0
0
8
8
2
0
2
0
4
4
8
0
4
0
0
0
16
8
8
8
8
1
1
1
4
4
4
4
8
0
0
0
2
2
16
0
0
0
0
0
0
0
0
0
0
0
0
8
2
24
24
24
24
0
8
10
0
0
0
0
0
0
0
0
0
0
1
2
0
16
16
4
4
1
1
8
8
8
8
8
8
0
0
0
16
0
4
0
0
0
0
0
8
0
9
2
2
0
0
2
2
2
8
8
8
0
0
0
0
0
16
16
2
2
0
0
0
8
8
8
8
8
0
0
8
8
8
8
0
0
0
0
0
0
0
0
0
8
16
8
8
8
8
8
8
0
24
0
0
0
16
0
8
0
0
6
0
0
4
0
4
4
0
0
0
8
8
8
0
0
4
4
4
16
0
0
0
0
0
0
0
0
0
16
16
4
2
2
2
2
16
0
0
0
0
0
12
4
4
24
0
8
0
0
0
0
8
16
16
16
0
0
0
0
0
0
16
16
0
20
1
0
8
0
0
8
0
0
0
16
16
0
0
16
16
8
8
16
0
0
8
0
0
0
8
0
0
1
16
0
8
2
2
0
8
0
0
8
0
8
0
0
8
6
6
0
4
4
0
8
8
0
0
8
8
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
8
0
0
0
0
8
8
8
0
0
0
24
32
16
48
1
1
1
0
1
1
32
0
0
1
0
0
0
0
24
0
0
0
0
0
0
8
0
8
8
8
0
20
8
8
0
16
16
0
16
8
8
4
8
0
8
8
0
28
0
32
8
8
8
0
0
2
4
4
0
0
0
8
0
0
0
0
0
0
0
0
2
2
0
16
2
0
0
8
0
0
0
0
0
0
0
0
0
8
0
1
1
8
0
0
8
8
1
1
16
8
8
8
1
8
0
0
0
8
2
2
0
16
16
0
0
8
16
0
4
0
0
0
0
0
8
2
2
0
8
16
0
0
8
16
8
0
0
0
0
0
8
32
4
4
0
16
8
8
2
4
0
0
0
2
2
2
16
8
0
0
8
0
0
20
0
0
0
0
0
0
0
0
4
0
8
0
32
0
36
0
4
8
0
0
0
0
0
16
16
16
16
16
8
0
0
0
0
0
8
0
2
0
0
0
0
16
16
4
4
0
0
0
0
0
2
2
16
0
0
0
4
0
9
0
16
0
0
6
8
0
8
8
2
0
0
0
0
22
0
1
1
0
0
0
0
0
0
8
16
0
0
1
1
1
8
8
8
0
0
0
0
0
4
0
16
0
2
0
0
4
0
24
4
4
0
26
8
16
16
16
8
0
0
0
0
8
12
12
0
0
0
16
0
0
0
22
2
2
8
0
0
0
0
0
0
0
0
0
24
0
0
8
0
0
0
0
0
0
0
0
0
0
8
8
8
0
8
8
8
0
56
56
8
16
16
1
1
1
0
0
0
0
0
8
4
56
40
0
0
4
24
2
16
0
0
16
0
24
24
24
24
24
24
0
16
16
2
0
4
8
8
8
0
0
0
0
0
20
0
0
0
0
4
0
32
0
0
0
0
0
21
8
8
8
8
8
16
16
16
16
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
8
8
1
4
0
0
8
8
8
16
16
0
4
4
0
0
0
1
1
0
0
0
8
8
8
8
1
9
0
1
0
0
32
32
12
12
0
0
0
0
4
0
16
16
16
16
16
9
16
16
8
8
8
43
0
0
8
8
8
8
30
0
16
12
16
8
0
0
8
16
6
6
6
0
0
25
25
0
21
21
16
0
0
0
0
0
0
0
0
0
16
8
8
8
0
8
8
16
16
8
4
0
49
4
8
16
16
0
0
0
0
0
0
0
0
0
0
2
2
4
0
0
0
0
0
0
0
0
8
8
8
8
0
0
0
0
8
0
32
32
0
0
16
8
2
0
0
0
4
4
0
0
0
0
0
0
8
0
0
0
20
20
0
8
0
8
3
16
0
0
4
0
33
8
0
4
0
0
0
16
16
16
16
16
0
8
0
0
0
0
0
0
0
0
0
8
8
8
8
0
8
0
8
16
16
0
0
0
0
0
0
8
0
8
8
0
0
0
0
0
0
0
0
0
0
8
4
0
2
0
0
0
16
16
0
0
16
0
4
26
26
26
8
0
8
16
0
0
0
1
16
16
16
0
0
8
0
0
0
0
16
0
0
0
0
0
2
2
0
2
2
2
2
16
16
0
0
0
0
8
0
0
0
1
8
8
8
8
0
0
24
0
0
0
0
8
0
0
0
0
8
16
16
2
2
0
0
0
0
0
0
0
32
0
0
0
2
0
0
0
0
0
16
8
8
8
8
8
0
0
0
8
8
7
0
0
0
0
0
0
0
0
16
4
1
1
1
0
0
0
1
16
0
22
16
16
0
4
8
8
16
4
0
0
0
0
4
0
4
4
4
8
0
0
0
8
0
34
0
0
0
0
0
8
0
0
24
24
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
4
4
4
4
0
16
24
8
8
2
0
16
16
0
0
0
0
0
0
0
0
32
32
1
0
0
0
0
0
0
8
8
8
2
0
0
16
16
1
16
16
16
4
16
16
8
24
8
0
2
0
0
0
0
0
0
0
0
0
0
0
8
0
0
8
0
0
8
8
0
28
8
8
8
8
0
5
0
4
8
0
0
0
0
16
0
2
0
8
24
8
0
0
0
0
0
2
2
2
2
56
32
1
8
0
0
0
0
8
12
8
0
0
0
1
1
3
16
8
1
8
8
11
0
0
2
2
16
0
4
0
0
0
0
0
0
0
8
0
8
8
0
0
0
2
16
16
0
0
16
16
0
0
14
0
8
0
12
0
16
0
16
16
0
1
16
0
8
0
8
0
0
0
0
6
4
4
4
1
20
16
4
0
24
24
0
0
0
0
0
0
0
0
0
0
0
0
0
0
10
10
8
3
0
0
0
0
0
0
16
0
0
0
0
0
16
16
0
0
0
0
0
16
4
4
4
0
20
0
0
0
0
16
16
16
16
0
0
0
2
16
8
0
21
21
18
18
0
16
16
0
0
0
16
16
1
0
0
0
0
0
12
0
0
0
0
0
0
0
0
0
0
1
9
8
0
0
0
0
0
0
0
0
0
1
0
0
0
16
0
0
8
0
0
1
17
25
0
0
16
16
0
16
16
16
16
0
2
2
4
16
16
0
0
0
0
4
2
2
8
0
4
0
0
16
2
0
0
0
0
0
0
0
0
0
16
32
32
32
16
16
16
0
2
0
8
8
8
8
0
0
8
0
0
0
0
0
1
1
0
0
0
0
20
0
30
0
24
0
2
2
2
8
8
8
8
8
0
0
0
8
8
8
4
4
0
8
0
0
0
4
0
0
0
2
2
8
4
4
8
8
0
0
0
4
1
0
0
0
4
4
0
24
0
0
4
0
16
16
16
16
0
32
32
32
32
0
0
24
0
1
1
0
2
2
8
0
7
7
0
0
4
0
8
0
4
24
24
0
0
0
0
8
8
8
44
44
20
4
4
4
0
4
4
8
16
0
0
0
0
8
0
0
0
0
0
8
2
2
2
2
2
0
0
0
0
16
16
0
4
0
0
0
0
0
24
8
0
0
0
0
0
0
0
0
16
0
16
0
2
1
32
4
4
26
24
24
0
0
19
19
19
0
0
0
0
8
8
0
8
0
16
16
0
16
16
8
1
1
33
0
8
4
4
8
0
8
0
0
0
0
0
0
2
0
0
2
0
0
0
2
0
0
0
0
16
16
16
8
0
0
0
8
0
16
0
0
10
0
0
4
16
0
0
0
8
28
0
8
8
8
32
32
20
16
0
0
0
0
2
8
8
2
0
0
0
0
0
4
16
16
16
2
2
2
2
2
2
0
8
0
0
0
0
0
0
16
0
0
0
0
0
0
16
16
16
16
16
8
8
4
4
4
8
0
0
8
0
9
0
0
0
0
2
2
8
0
16
16
16
8
3
0
0
1
0
0
8
8
2
0
0
0
0
4
0
0
7
1
0
0
0
8
8
8
20
0
16
16
8
0
8
0
0
2
2
8
4
4
16
8
20
0
0
4
0
16
16
1
0
0
0
0
32
32
0
0
0
0
36
0
0
8
0
1
0
0
0
12
12
0
16
16
4
0
16
16
0
31
0
5
4
0
16
0
1
1
0
0
1
0
0
0
0
8
0
0
4
0
1
1
0
0
0
0
0
0
16
0
16
0
1
8
0
8
0
24
0
0
2
2
2
0
0
0
0
0
0
0
16
0
49
0
0
32
0
0
8
8
0
0
0
8
0
0
4
0
8
8
8
0
17
0
0
0
0
17
0
16
0
16
16
16
0
56
12
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
8
8
8
0
16
0
8
8
8
2
20
2
2
0
0
0
0
0
0
0
0
16
2
4
0
0
0
16
0
0
16
16
0
0
0
0
0
0
4
4
4
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
1
19
0
0
8
6
0
1
4
18
8
0
0
0
0
0
0
32
32
8
1
1
4
16
0
0
0
4
4
4
0
0
0
0
8
8
8
0
0
0
9
0
0
0
4
0
41
16
0
0
0
0
0
4
0
0
8
8
8
8
4
0
0
16
16
16
16
8
8
0
0
0
24
8
2
2
0
16
8
0
0
0
16
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
4
4
0
0
0
0
0
0
0
0
8
16
8
1
1
8
0
0
0
0
16
0
0
4
4
0
0
8
1
0
0
8
8
0
0
8
0
0
0
24
8
0
4
0
0
7
16
0
24
24
8
8
1
16
0
0
2
18
0
1
0
0
1
0
8
0
0
0
0
0
4
4
4
4
0
2
4
0
0
24
2
2
0
0
0
0
0
0
16
16
0
0
2
0
29
29
29
29
0
0
0
0
16
16
16
0
0
0
0
0
50
0
48
0
0
16
16
0
0
0
8
0
0
0
8
0
0
0
0
0
0
0
0
0
12
0
0
0
1
1
1
0
24
16
16
1
1
1
20
16
16
8
8
0
0
8
8
8
0
0
0
0
0
8
12
0
8
1
8
8
0
8
8
0
0
0
0
16
2
10
0
4
8
8
1
1
0
0
8
16
0
0
0
0
1
1
16
8
0
0
10
0
0
0
0
8
8
8
8
8
0
0
8
0
0
0
0
1
0
0
0
0
0
16
0
24
49
8
20
0
0
0
0
16
2
16
16
8
8
8
8
16
8
8
24
24
16
0
0
8
16
16
16
0
0
0
0
8
0
8
0
0
0
0
0
8
16
0
0
0
0
0
2
0
0
0
0
20
0
1
1
50
8
0
0
24
8
24
24
24
24
8
2
22
0
0
0
0
0
24
0
0
8
0
8
0
8
8
32
36
8
17
0
0
0
0
0
0
0
0
22
22
22
16
9
8
16
0
8
0
0
0
0
0
0
1
1
4
4
4
0
0
0
8
0
17
17
0
0
0
0
8
0
30
30
16
0
0
0
0
16
0
0
0
5
4
4
0
0
1
0
0
0
16
6
4
0
0
0
0
0
0
0
8
0
0
32
0
0
16
0
2
0
0
16
0
0
0
0
8
0
0
0
0
0
21
0
0
0
16
24
8
8
8
0
0
16
0
0
8
8
0
0
0
0
0
0
0
0
0
8
8
0
16
8
0
8
8
8
8
16
16
2
16
4
4
4
4
0
8
8
8
11
8
0
4
4
4
4
4
4
0
0
0
0
0
0
16
0
16
24
24
0
8
0
8
8
0
0
8
0
0
0
0
8
8
8
8
0
10
8
0
0
0
0
16
8
1
1
0
8
0
0
0
0
0
0
2
2
2
4
1
2
2
0
2
4
0
0
8
0
0
0
8
0
0
2
4
0
0
0
0
0
2
2
0
0
0
0
4
57
8
0
16
16
16
16
16
0
16
0
8
0
0
0
0
8
8
8
0
16
0
0
0
0
0
0
0
0
8
0
0
4
22
22
4
16
16
15
7
16
16
0
0
0
24
0
8
1
0
0
16
24
16
16
16
25
0
0
1
2
0
4
4
16
8
0
8
24
24
4
4
4
4
4
4
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
1
0
0
0
16
0
0
0
0
0
0
0
0
8
4
0
0
16
16
9
16
16
16
0
0
0
0
8
1
1
16
16
0
0
0
0
0
0
0
0
0
0
0
16
19
0
0
0
0
0
0
0
0
8
8
0
0
16
56
16
16
16
0
0
8
16
0
0
0
0
0
0
16
0
2
6
8
8
8
20
8
8
8
8
8
8
0
0
8
8
8
8
8
8
8
0
0
8
0
0
0
0
12
2
0
0
0
8
4
12
12
0
18
0
4
22
8
8
8
16
8
0
0
34
0
8
16
0
0
0
0
1
1
4
1
1
24
4
4
4
4
4
4
4
4
0
19
0
2
0
1
0
2
2
2
4
8
8
32
32
4
4
12
4
4
4
4
4
16
0
0
16
26
16
16
4
4
0
8
8
0
8
8
8
0
16
16
8
16
16
8
0
4
4
8
2
2
0
0
0
0
0
0
0
24
24
24
2
2
0
8
8
0
0
4
4
0
0
4
4
1
16
16
16
16
16
16
16
8
0
0
0
1
16
16
0
8
0
3
0
0
8
0
8
8
8
8
8
0
0
0
8
8
20
0
0
0
8
8
8
0
8
2
2
2
4
3
3
4
0
0
9
9
2
16
8
8
8
0
8
0
0
0
0
0
0
0
8
0
0
1
8
0
0
8
24
1
4
0
0
0
8
8
0
0
16
0
0
0
8
8
0
0
32
0
6
0
0
16
24
16
16
32
32
0
0
8
0
0
2
2
0
10
2
4
8
4
0
0
8
0
0
1
1
8
8
0
0
0
0
8
8
8
4
4
0
16
16
0
0
12
12
12
8
16
24
20
0
0
0
0
1
1
0
16
16
8
0
8
0
0
0
8
16
9
9
1
8
8
8
8
0
0
12
4
1
16
12
4
1
8
8
0
0
2
2
1
0
0
0
0
16
8
16
8
8
8
8
0
20
3
1
1
4
0
0
16
4
1
0
0
0
8
8
0
16
16
8
0
12
12
12
0
8
8
8
16
0
0
0
0
5
0
0
10
2
0
8
8
8
0
0
8
0
0
0
16
16
8
8
8
8
8
8
0
29
29
3
3
3
3
0
4
1
16
0
0
0
24
24
24
24
16
16
16
16
16
0
8
8
8
8
8
8
0
0
8
0
8
8
8
8
8
8
8
0
2
8
8
8
16
0
0
8
8
8
8
8
0
8
8
0
0
2
0
8
16
0
0
8
0
0
24
16
0
0
8
8
8
24
0
0
0
0
0
0
4
0
6
0
0
0
4
4
8
8
8
8
8
24
8
8
24
24
24
0
0
0
21
21
16
16
32
20
20
20
16
24
16
4
8
8
8
2
0
16
8
2
0
8
8
4
0
0
0
0
2
1
8
20
1
4
16
32
0
16
0
0
4
1
0
0
0
18
0
24
24
8
8
8
8
8
16
16
0
0
0
0
8
8
0
26
12
8
0
0
8
0
0
2
16
0
8
1
0
8
0
0
8
8
8
8
8
29
29
20
16
0
2
0
0
0
8
24
16
16
2
0
16
16
16
16
16
8
57
0
8
8
32
16
24
16
16
12
8
8
8
8
1
1
0
0
0
0
0
0
8
0
8
8
0
0
12
0
0
4
8
8
0
0
0
0
16
16
1
0
0
0
0
0
0
3
0
0
4
0
8
4
4
4
0
8
8
0
4
8
8
8
8
16
16
0
0
0
8
32
32
32
8
8
4
4
10
10
0
16
0
0
16
16
8
16
16
0
0
0
0
0
0
0
0
17
8
1
8
8
8
8
8
0
0
1
1
10
10
0
0
8
8
16
16
16
8
0
0
0
8
8
8
8
0
0
16
16
0
2
2
8
0
8
8
0
8
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
8
8
8
8
8
8
8
34
34
0
0
0
8
1
8
0
1
1
0
0
0
0
8
2
0
2
16
16
16
8
8
0
8
0
0
0
8
8
2
2
2
0
32
8
0
16
16
1
4
0
8
0
4
4
8
0
8
8
1
0
8
8
32
32
15
8
8
0
20
0
0
8
8
0
0
0
8
2
16
16
24
24
24
24
16
16
16
0
8
24
24
2
0
0
0
0
0
56
1
0
4
4
0
4
4
1
24
8
8
0
0
8
8
10
8
0
0
8
0
16
4
0
3
4
1
0
0
0
0
0
0
16
16
0
0
8
8
2
16
8
2
8
16
0
0
0
0
0
8
8
0
4
4
4
4
2
8
24
16
8
8
1
32
0
0
8
0
0
8
8
1
8
0
0
24
24
8
0
0
16
16
16
0
0
0
8
8
0
0
27
27
16
16
8
0
0
0
6
4
0
8
8
16
8
8
8
12
0
4
8
8
32
32
8
17
0
8
8
0
0
39
16
8
8
16
16
2
4
4
8
16
0
16
16
8
8
2
8
8
8
8
16
0
8
16
16
16
0
0
0
0
1
8
8
8
8
16
0
0
0
16
1
1
1
1
0
0
0
16
16
4
4
4
4
8
12
12
0
24
8
16
16
0
8
8
0
0
8
8
24
16
0
16
16
11
1
0
0
0
8
0
2
4
10
0
8
8
8
1
1
0
16
2
24
24
8
8
8
0
0
0
0
0
20
0
0
0
0
0
0
0
0
16
0
8
8
8
0
0
8
8
8
8
8
8
0
0
24
24
8
8
10
0
0
8
8
8
8
0
0
0
16
8
8
8
16
4
4
16
8
0
0
8
0
0
9
9
1
8
8
44
0
16
2
1
24
0
8
0
2
16
3
3
0
0
0
0
24
0
24
16
8
8
16
8
0
0
1
8
0
16
8
8
0
0
0
0
0
0
27
44
0
0
8
16
8
8
8
16
16
0
24
16
16
0
4
4
16
8
24
8
0
0
0
0
0
0
0
0
0
2
8
8
8
2
4
0
0
0
0
0
0
17
0
0
16
5
5
0
0
8
8
24
0
0
2
2
8
0
4
4
8
8
8
0
0
16
16
4
4
8
0
0
0
16
16
0
8
8
8
32
0
0
4
4
0
8
16
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
4
12
12
12
32
32
32
0
16
0
0
0
0
0
1
1
0
0
1
0
45
4
4
4
0
0
1
0
8
16
16
2
2
0
0
0
0
0
2
2
2
16
16
8
8
0
0
16
0
0
0
8
8
0
2
0
8
8
8
8
0
8
8
8
8
8
0
8
8
8
0
1
1
8
8
4
4
4
16
0
0
0
0
8
8
0
8
8
1
0
0
8
8
8
0
5
5
16
16
0
1
16
16
32
8
16
8
8
8
8
8
4
4
4
1
1
0
0
1
1
39
1
8
25
0
8
8
0
4
16
16
16
0
8
24
16
8
4
2
0
8
18
0
0
0
16
8
8
8
8
8
1
0
8
8
24
8
0
8
8
0
2
8
8
0
0
25
24
0
8
0
16
16
2
0
1
8
8
26
10
0
8
8
0
0
16
16
16
16
16
16
16
16
16
16
0
0
24
24
24
0
0
24
8
8
0
52
52
52
1
0
1
16
16
0
0
2
2
2
0
0
8
1
0
0
2
2
8
0
0
16
2
8
16
2
2
8
16
16
8
20
20
32
32
32
32
0
4
8
24
0
0
4
4
4
8
8
8
0
0
4
1
1
0
18
24
8
8
8
0
12
8
0
0
0
8
8
0
0
0
16
0
0
0
0
8
8
8
8
8
0
0
8
8
8
8
8
4
16
13
1
17
17
0
4
4
0
0
0
0
24
8
0
0
32
0
0
8
4
4
2
4
4
4
2
1
1
0
4
0
2
0
8
16
16
0
0
0
16
16
8
8
0
0
0
8
8
8
8
0
0
8
8
0
0
0
16
8
8
0
0
8
1
8
0
0
0
1
8
0
0
2
2
8
16
16
0
16
2
2
1
8
8
8
0
0
2
2
8
2
2
8
8
8
28
28
2
2
16
16
8
8
8
8
8
8
4
8
8
8
8
8
8
0
8
8
0
1
1
32
32
2
0
16
16
0
0
16
0
0
0
8
24
2
2
24
24
24
17
0
0
0
16
0
0
2
32
16
16
16
16
8
8
8
8
8
8
0
16
20
0
0
0
0
16
16
0
0
1
10
4
4
4
0
0
8
8
8
8
0
0
0
0
4
0
4
0
0
8
8
0
0
8
8
8
8
16
16
4
4
8
0
0
8
8
8
24
0
8
8
8
16
16
8
8
2
2
2
0
0
0
0
0
8
3
3
0
0
0
0
0
8
8
8
0
10
1
0
8
8
0
0
0
25
0
0
0
0
0
0
9
16
0
4
0
0
21
8
0
0
0
0
16
0
0
16
16
16
16
8
8
0
16
0
0
4
4
4
4
4
8
8
8
8
8
0
10
10
10
8
0
0
0
8
0
0
0
0
8
8
8
8
8
8
0
0
28
28
24
8
8
0
16
16
16
16
16
8
8
0
16
8
0
16
16
17
25
8
0
7
7
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
1
0
16
0
1
8
8
8
0
0
8
6
4
0
0
0
0
17
17
16
0
0
4
0
8
0
8
8
8
16
0
4
4
0
8
8
0
0
0
0
0
8
3
3
8
0
8
8
8
8
0
0
0
4
1
1
1
1
2
4
4
0
16
16
16
0
0
0
0
0
12
8
0
16
2
0
0
0
6
16
0
0
18
16
20
0
0
8
0
8
8
8
0
0
8
8
0
4
26
0
8
0
8
0
8
0
24
8
8
8
0
0
0
0
1
1
2
2
10
8
8
0
8
0
4
16
16
8
20
0
8
16
16
16
16
16
0
16
0
16
16
16
0
8
0
8
0
0
0
0
20
4
4
4
4
0
10
0
0
16
16
16
16
10
10
10
0
8
8
8
8
0
0
0
0
0
1
12
8
1
33
8
12
32
27
16
8
4
16
8
8
8
2
4
4
24
8
4
0
24
24
24
8
0
0
8
0
0
8
16
0
24
24
8
2
0
2
2
8
8
8
16
16
16
16
0
0
0
8
8
0
0
0
16
18
26
8
0
20
0
0
0
1
2
0
42
0
0
0
16
8
1
4
6
0
8
2
0
8
8
2
8
8
8
8
8
16
16
16
0
16
16
16
32
32
0
0
8
8
8
8
8
0
2
0
16
4
0
8
3
16
0
0
0
0
2
8
16
16
0
8
8
8
8
0
0
0
4
2
8
8
8
0
1
8
8
4
16
16
0
8
24
0
0
4
4
4
0
8
0
2
10
10
16
16
1
24
4
6
2
0
8
0
18
18
0
16
16
16
0
24
1
1
0
4
12
10
24
0
8
0
0
16
16
16
16
0
16
8
8
8
8
16
1
16
20
16
0
8
8
0
20
16
8
8
8
8
0
8
8
8
16
24
8
29
1
1
0
16
8
24
24
24
8
8
0
12
20
8
0
4
4
8
8
8
4
0
0
2
16
8
8
8
16
4
0
0
0
8
8
0
8
16
0
0
4
16
16
8
0
9
9
9
8
0
0
8
0
8
8
8
16
8
16
16
2
0
0
0
16
0
8
8
2
18
8
1
16
16
16
16
16
8
8
0
8
8
0
4
24
18
18
0
2
4
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
8
8
8
8
8
8
2
8
8
28
8
8
0
0
16
16
16
0
0
8
8
0
8
8
8
0
16
16
16
0
0
0
0
32
32
32
8
8
16
0
0
0
16
8
8
8
0
8
8
0
8
4
4
1
16
16
16
4
20
20
16
0
2
2
8
8
16
16
16
0
0
0
0
0
44
8
8
0
0
8
8
8
8
8
24
32
8
0
0
9
0
8
0
6
0
0
30
30
30
0
0
4
0
0
0
24
24
24
0
8
32
32
0
0
0
8
8
8
0
0
0
8
8
8
0
0
0
8
0
10
0
0
2
18
0
8
0
16
16
16
16
16
16
0
8
8
0
0
16
16
16
16
8
8
8
8
8
8
8
8
8
2
2
0
8
0
8
8
8
8
0
8
0
0
0
0
0
0
18
32
28
0
0
0
0
0
4
0
0
0
0
4
8
1
1
1
0
16
8
28
28
0
8
8
8
8
8
0
9
9
0
0
0
8
8
0
8
17
0
0
0
4
0
0
0
0
0
0
0
0
20
20
20
20
16
8
2
0
8
8
8
8
0
4
20
16
1
1
26
0
0
0
0
0
0
20
0
0
8
10
2
2
16
25
8
20
0
8
0
0
0
0
8
2
2
4
0
4
0
0
0
8
0
0
4
4
4
16
0
0
0
24
0
8
8
8
0
8
8
8
8
8
8
0
0
8
8
8
8
16
0
0
0
0
0
8
4
8
0
8
8
0
17
0
24
0
0
2
6
0
0
0
0
0
20
20
8
0
0
23
0
0
0
16
16
16
8
8
16
4
2
2
8
8
0
16
16
0
0
0
0
0
0
0
0
8
8
8
24
34
8
8
17
16
12
12
8
0
0
40
40
0
8
8
0
0
8
8
8
0
0
0
24
8
8
8
8
0
4
0
0
0
0
1
0
0
0
0
32
16
0
0
0
0
10
8
8
8
8
8
8
8
8
25
4
9
9
12
12
16
16
0
0
0
0
0
16
28
0
0
0
4
8
16
16
8
4
21
0
0
0
0
0
8
8
8
0
10
8
0
0
0
0
0
0
0
8
8
8
8
0
0
0
8
0
4
4
4
4
8
8
24
8
0
8
8
0
0
8
8
8
1
0
8
8
8
0
0
16
16
16
13
0
42
42
8
8
8
1
0
0
16
8
8
0
2
2
8
8
0
16
0
0
8
8
8
8
16
2
0
0
8
8
16
16
0
24
24
0
0
0
0
0
0
0
0
2
2
0
16
1
1
16
16
0
16
8
16
0
0
0
8
0
16
0
0
0
0
0
16
8
8
8
16
8
8
16
0
0
48
24
8
8
0
0
0
0
18
0
16
4
8
0
8
0
8
8
8
0
1
16
57
16
16
0
0
8
0
0
0
8
8
8
8
8
8
8
8
8
0
11
11
11
16
0
16
16
0
8
6
6
9
9
0
24
8
0
0
0
8
0
8
0
5
5
5
8
4
0
0
0
8
16
0
0
0
8
8
0
0
0
0
0
34
34
0
44
0
0
8
8
8
18
8
4
4
8
16
16
0
0
0
0
6
0
0
0
0
16
1
16
16
8
8
0
0
8
8
20
20
20
0
0
0
0
8
0
16
17
8
8
8
4
4
0
16
16
8
8
0
8
8
8
8
0
16
4
4
0
4
0
8
8
24
0
8
0
8
8
0
8
8
8
8
4
4
0
0
8
16
18
2
18
18
0
0
0
8
8
8
8
0
8
8
0
8
8
1
1
0
8
24
24
4
0
8
16
16
0
0
0
8
0
0
0
0
8
1
13
0
0
0
0
0
1
8
0
0
0
8
0
16
16
0
0
8
32
24
8
0
0
0
1
1
1
1
16
4
32
0
0
16
0
8
8
8
0
16
16
24
0
8
8
16
16
0
8
2
2
1
0
0
0
0
2
16
8
0
8
8
8
0
0
9
0
16
16
4
4
4
8
8
0
0
16
16
8
2
0
16
2
2
12
0
0
8
8
8
0
8
8
0
16
0
0
0
0
0
0
0
4
4
16
16
16
16
16
2
16
0
12
49
8
0
18
0
0
0
0
32
32
0
0
16
0
48
8
8
0
8
26
2
2
2
32
32
32
0
0
0
0
8
2
8
16
16
16
16
3
8
0
0
0
0
0
0
0
8
8
0
4
4
4
0
8
0
0
0
0
0
0
0
1
16
0
17
0
22
22
0
8
1
5
0
8
8
4
0
1
1
0
0
0
7
8
8
0
8
0
0
10
0
0
8
13
13
20
20
24
0
2
5
5
0
0
0
0
0
0
16
2
2
6
2
2
2
8
2
16
8
24
16
0
32
0
16
8
8
8
8
8
1
0
20
0
0
0
0
8
4
4
0
0
8
0
0
24
0
4
0
8
0
0
0
16
16
16
8
8
44
0
8
0
2
0
8
0
0
0
0
0
0
0
0
0
0
4
0
0
0
16
16
12
16
0
16
0
0
0
16
0
16
8
0
16
0
8
0
0
0
0
8
33
8
0
24
1
8
0
0
0
16
32
32
32
0
0
0
0
28
16
8
1
1
1
1
1
1
6
4
4
0
0
1
2
4
0
12
12
12
12
16
0
0
25
25
25
9
4
4
0
0
8
16
0
0
0
12
0
0
0
18
0
0
0
0
8
4
4
49
49
16
16
16
8
2
2
2
0
4
4
8
8
16
8
8
0
24
0
4
4
16
16
16
2
0
0
0
0
32
20
0
0
0
16
9
8
0
0
0
4
4
4
4
8
8
1
1
1
1
8
8
0
40
0
0
8
8
8
8
8
0
16
0
0
0
4
8
8
8
16
0
0
8
4
0
18
18
0
0
2
0
12
4
4
8
8
16
8
0
8
16
16
0
0
0
0
0
16
0
0
0
8
1
13
13
16
16
16
0
0
8
0
0
10
8
0
0
8
8
8
0
0
12
0
0
0
0
0
4
8
8
0
0
0
8
0
0
0
0
8
0
8
8
8
8
8
8
8
16
0
8
8
8
8
8
0
1
8
0
0
5
0
16
8
0
16
5
16
0
0
0
0
2
2
0
8
8
8
8
0
3
3
0
0
0
0
0
4
0
0
41
0
8
1
0
6
0
0
4
4
0
0
0
1
8
0
0
0
0
16
16
4
6
6
2
0
0
0
0
0
1
0
18
18
16
16
0
0
16
16
0
16
16
0
1
1
16
8
8
8
0
24
1
2
2
16
0
0
16
16
16
0
0
0
2
16
16
0
0
32
0
16
16
0
16
16
16
41
41
8
0
0
0
0
8
8
16
8
1
8
0
0
0
0
0
0
0
0
8
8
8
8
8
0
0
8
8
0
0
8
6
1
1
1
60
0
13
13
13
4
4
16
16
16
8
0
0
18
16
16
16
0
12
12
2
16
0
0
0
52
0
0
1
0
8
8
0
8
0
0
16
8
16
8
8
8
16
0
32
8
16
8
5
4
0
0
2
2
8
8
8
16
16
0
8
9
2
0
25
8
8
1
8
8
8
8
8
1
1
4
20
32
32
20
17
1
8
8
24
1
0
8
0
8
8
8
8
4
1
0
0
0
16
0
1
1
1
8
8
0
0
8
8
0
0
0
0
16
16
16
16
16
8
8
0
8
0
8
16
8
0
8
8
24
16
0
0
8
8
8
4
8
8
0
0
0
8
4
8
25
25
0
0
0
0
16
0
8
8
33
8
8
32
0
0
0
0
0
2
32
0
8
0
0
0
0
0
0
1
8
8
8
1
1
1
0
4
32
0
0
4
4
8
8
8
4
4
4
4
4
4
16
4
4
4
4
4
4
4
4
4
16
16
16
16
8
8
8
8
4
4
4
18
16
2
2
2
2
4
0
0
16
28
0
8
4
4
8
8
16
16
16
0
8
8
0
0
0
0
0
0
1
1
20
0
0
8
0
5
0
8
8
8
0
16
24
16
8
8
8
0
8
8
0
2
8
8
8
0
8
8
8
8
8
0
0
3
8
0
8
9
0
8
0
24
8
8
1
0
0
17
16
16
0
8
8
24
24
8
8
14
14
0
0
0
0
0
16
0
0
8
0
0
0
0
8
8
8
8
0
8
24
8
8
20
20
8
8
8
4
18
18
16
16
16
0
0
0
0
8
16
16
2
8
8
6
6
2
2
0
4
40
40
0
0
1
0
2
2
0
0
8
0
0
8
8
8
16
16
8
0
2
24
24
8
17
1
1
0
8
8
1
0
3
16
0
0
32
32
4
4
16
0
0
16
16
8
0
8
8
0
1
8
8
0
0
0
0
0
0
0
2
2
8
0
0
0
0
1
1
0
17
17
0
8
16
16
16
12
8
0
0
0
0
0
5
8
32
4
4
8
8
0
0
33
0
0
0
1
1
8
0
0
0
8
0
1
8
0
2
8
0
0
1
2
0
0
16
13
0
0
8
0
24
0
16
0
6
24
16
8
8
0
8
8
8
8
4
25
8
0
16
0
16
16
1
1
1
8
16
16
16
18
1
1
1
0
8
2
0
0
0
8
8
8
4
0
4
4
0
0
16
8
25
25
25
25
0
8
8
46
8
8
8
8
8
3
8
0
0
0
8
0
8
0
0
8
0
6
4
8
0
0
0
8
8
8
4
4
4
4
0
0
4
0
0
8
8
2
2
4
1
16
16
1
1
0
24
16
10
24
0
0
16
8
0
8
8
8
8
8
8
8
4
0
0
0
0
0
0
8
3
0
16
16
8
16
0
0
4
4
0
0
0
8
8
0
0
8
6
0
20
20
20
20
20
8
24
24
4
4
16
16
0
8
0
0
4
4
4
4
4
0
0
16
24
16
0
0
38
0
0
34
0
0
0
0
32
16
16
0
0
0
0
0
4
0
0
0
4
16
0
8
0
0
0
0
0
16
0
0
8
0
1
1
0
40
0
16
16
0
8
1
0
0
0
0
0
6
6
6
6
6
0
0
0
2
2
0
8
8
8
8
1
1
1
0
16
16
0
1
0
8
8
8
0
0
4
0
4
4
8
8
0
0
8
8
8
0
60
24
16
0
0
0
16
1
0
8
8
0
0
20
20
8
8
9
9
0
8
24
24
0
0
0
24
24
1
1
1
8
8
16
16
16
0
4
17
1
16
16
16
0
4
1
0
17
0
0
0
8
8
0
0
0
0
8
8
8
8
8
8
8
0
0
0
0
0
4
4
0
2
2
2
2
2
0
1
0
0
0
1
9
4
0
0
8
8
8
2
0
0
0
16
0
8
16
0
0
8
8
0
0
8
8
0
0
0
0
0
4
16
8
8
0
16
4
4
4
8
0
0
16
0
0
16
4
0
0
0
0
0
8
8
8
16
16
16
0
8
8
8
8
0
16
1
1
16
0
0
8
0
16
4
4
4
4
4
4
4
0
1
0
12
4
0
24
0
0
0
16
16
16
8
1
4
4
0
0
8
8
0
0
16
18
0
1
1
8
4
0
16
16
8
8
0
0
16
0
0
0
24
0
0
8
8
1
16
8
8
8
8
0
0
8
8
8
8
8
0
0
0
0
0
0
8
8
8
8
0
8
8
8
4
0
0
8
2
2
8
8
8
24
0
0
0
2
2
2
8
8
2
0
8
8
2
24
0
0
0
1
2
2
8
8
8
0
3
2
0
27
0
16
8
8
8
8
4
0
0
1
4
8
32
40
26
5
1
1
16
4
4
8
8
8
8
2
3
0
16
16
16
16
8
8
8
0
0
0
8
8
8
8
8
8
8
0
0
0
32
0
0
0
0
8
8
8
8
8
1
48
8
8
0
0
8
8
18
18
18
28
8
4
4
0
0
0
0
8
8
0
0
0
16
2
16
0
0
16
16
0
0
0
1
0
16
0
0
0
0
0
0
2
0
6
8
40
16
0
0
20
20
20
4
4
8
8
0
0
0
36
2
2
2
0
0
9
0
2
2
2
27
27
27
0
16
16
16
8
1
1
0
8
8
1
1
25
0
0
0
2
2
2
0
0
0
0
8
8
8
16
20
4
2
0
4
0
1
1
16
0
0
0
16
0
0
18
0
24
0
8
16
18
18
0
8
0
0
0
0
8
0
16
16
0
1
0
32
32
8
24
0
0
0
8
0
1
1
0
0
0
4
4
16
8
4
8
0
0
32
32
32
32
32
2
2
8
8
8
0
4
4
8
32
8
8
0
0
2
2
2
8
8
8
8
8
8
16
8
8
2
2
16
9
4
4
0
0
0
16
8
8
0
24
4
0
0
47
47
32
0
0
0
1
1
1
18
0
0
0
4
0
0
0
2
4
8
8
0
4
4
8
8
0
0
0
16
8
0
8
0
8
0
0
1
0
16
0
0
0
0
0
8
8
1
0
0
0
1
1
1
4
4
9
8
8
8
8
12
29
0
0
32
32
1
1
0
0
16
8
12
12
4
10
4
8
8
8
8
8
8
0
0
16
8
8
8
0
0
16
4
8
4
0
8
8
8
8
8
8
0
57
57
0
20
16
16
0
0
1
8
0
0
0
2
32
32
8
0
0
0
0
0
16
0
0
8
8
24
8
8
8
8
8
1
16
25
8
8
8
0
0
8
0
0
8
8
8
8
8
8
8
0
0
0
16
40
24
0
8
0
8
8
8
0
8
8
8
0
1
0
0
4
24
0
17
17
16
17
4
4
0
4
2
2
2
2
2
2
4
0
4
16
0
0
0
0
0
0
8
16
16
0
0
8
4
4
18
16
0
8
16
16
16
16
16
8
8
8
8
0
8
24
0
0
0
0
8
8
0
0
8
8
0
0
0
0
4
0
0
0
0
0
0
0
0
6
0
8
1
1
1
2
2
0
8
9
12
0
0
0
1
32
32
8
8
28
28
28
28
0
8
0
1
32
8
8
0
0
20
8
0
16
16
8
8
8
8
16
16
8
0
1
1
8
8
8
0
0
16
2
16
16
16
0
1
1
1
1
8
8
8
8
0
1
1
0
8
8
8
0
0
4
4
1
1
18
8
0
0
2
4
0
0
0
0
0
0
4
4
16
16
1
0
1
1
1
1
0
0
0
8
24
16
8
0
8
0
0
16
16
0
0
0
0
24
24
11
0
36
0
8
16
16
0
4
4
32
8
24
24
24
24
24
24
0
0
0
8
16
8
8
8
8
8
0
0
0
4
0
0
18
18
18
8
8
8
14
14
16
8
34
34
32
32
0
16
17
8
8
4
24
1
1
8
10
0
16
16
16
32
8
12
8
4
8
0
16
16
2
2
2
2
16
0
0
16
2
20
20
0
0
0
24
24
8
0
8
0
0
8
0
1
0
0
0
0
0
16
16
16
0
8
8
8
4
16
0
0
8
0
2
4
0
2
2
2
8
16
24
0
0
0
0
0
16
17
17
8
8
8
0
0
4
8
8
16
16
2
8
0
20
8
0
0
0
0
0
8
8
16
0
16
0
0
0
1
2
16
8
0
0
0
0
0
16
8
0
12
0
0
0
0
32
32
8
4
8
8
8
20
20
1
16
8
8
0
0
0
2
2
2
8
0
0
0
20
20
20
0
0
8
8
8
28
0
1
1
4
8
0
0
0
0
0
0
32
32
32
32
32
32
0
0
0
1
1
5
1
1
32
32
0
0
8
4
0
8
8
16
8
8
8
4
18
0
8
1
8
0
0
8
8
16
16
16
0
0
0
0
0
0
0
4
0
4
2
0
4
24
8
8
20
16
16
4
5
0
8
8
0
0
1
8
8
8
4
4
4
0
18
18
8
1
12
12
16
32
8
0
16
16
4
4
4
4
4
4
4
4
8
8
8
2
0
0
0
8
8
16
0
4
8
2
0
0
0
0
1
8
8
8
8
16
16
3
4
32
16
16
0
8
8
42
2
38
0
0
0
0
0
0
0
8
8
0
1
1
1
8
0
0
35
35
1
1
16
1
0
0
2
2
2
2
24
16
0
0
0
8
16
16
4
0
0
18
4
0
0
8
8
8
0
0
0
32
8
8
2
2
0
0
0
0
0
8
8
16
20
4
4
4
4
0
0
8
8
0
1
1
0
0
0
8
8
0
8
0
1
0
0
1
1
8
0
0
2
0
4
4
4
8
8
8
8
8
24
0
0
0
24
0
16
0
0
8
8
29
2
8
3
3
3
48
1
1
16
16
16
16
16
16
16
16
4
0
0
25
16
16
16
0
12
0
0
4
0
8
0
0
8
0
16
4
29
16
0
16
16
16
16
8
8
0
0
4
4
5
0
0
16
0
0
8
8
2
2
8
0
0
8
8
8
8
8
0
8
2
4
0
24
1
0
32
32
5
5
0
0
8
16
8
2
2
2
8
8
0
8
0
0
0
8
0
16
1
2
2
2
2
8
1
17
1
32
16
17
0
8
8
8
0
16
0
8
8
0
16
16
16
1
1
4
8
8
8
16
0
0
0
0
4
0
0
0
8
8
0
8
0
16
0
0
1
1
0
17
56
8
56
8
8
12
8
8
16
16
16
6
6
0
0
8
8
8
0
16
16
16
0
8
0
0
0
16
0
16
16
1
0
0
0
16
8
0
0
8
8
0
0
0
0
8
8
0
4
4
4
2
1
0
8
0
16
8
8
0
0
8
8
8
8
8
0
0
8
8
4
0
8
0
0
16
1
1
1
1
32
0
8
8
8
4
4
4
4
16
0
8
16
16
0
0
2
1
8
8
8
4
4
16
16
0
20
8
8
8
8
8
8
8
8
8
8
0
0
4
8
0
8
2
8
17
17
17
17
8
4
4
16
16
8
0
0
8
8
8
8
0
16
16
16
0
0
16
4
2
2
16
16
16
0
20
16
12
12
1
8
8
0
0
8
8
8
0
0
8
8
8
8
0
4
4
4
4
0
0
2
5
18
18
16
16
16
16
16
0
0
0
0
0
16
24
0
12
4
8
8
16
0
0
16
16
16
4
8
32
32
32
8
0
0
52
8
8
8
8
0
0
16
8
8
8
8
0
22
1
1
1
8
0
0
4
0
8
0
0
0
8
8
8
8
8
8
8
8
1
8
8
8
6
8
0
8
0
4
4
0
0
0
0
8
0
8
8
8
24
32
48
1
1
4
0
0
8
36
0
16
16
8
8
0
24
8
8
0
6
6
6
6
8
0
2
2
2
8
0
16
20
16
1
8
8
8
0
0
0
16
16
16
0
0
0
0
8
8
8
8
0
0
0
0
0
8
0
40
8
0
0
0
2
2
2
16
16
0
0
8
8
8
0
0
0
0
0
8
8
8
9
8
8
4
0
0
8
8
8
16
0
1
1
8
8
0
0
0
12
12
4
0
1
1
1
2
32
48
32
16
8
8
8
6
4
0
8
16
16
16
16
16
16
33
0
4
0
0
16
1
1
1
1
1
0
16
16
0
0
0
0
16
0
0
0
3
28
28
8
16
8
16
0
4
0
16
16
16
16
8
8
8
0
32
32
0
0
0
8
0
0
20
20
0
0
0
0
0
0
16
0
8
8
8
8
0
0
36
16
16
16
16
16
16
16
16
16
2
2
2
1
0
0
26
26
0
2
2
2
8
0
8
0
8
8
8
8
8
8
9
0
0
0
8
3
16
16
16
1
16
16
16
0
16
16
16
16
8
9
8
8
8
0
4
0
8
0
0
8
8
0
8
0
1
8
0
0
0
0
0
0
22
2
2
8
4
4
4
4
0
0
0
0
0
16
0
0
16
16
16
8
8
8
8
0
0
0
8
8
8
8
0
8
8
0
8
16
8
24
16
0
0
8
8
8
8
16
16
16
16
8
8
16
0
0
0
0
16
8
16
16
32
0
0
0
8
0
0
0
16
20
16
1
24
24
24
10
0
0
0
0
32
32
0
8
8
8
8
8
8
0
0
0
20
0
1
1
9
0
0
8
8
2
0
0
2
16
16
16
16
16
16
16
0
0
0
8
8
8
8
0
21
16
16
0
0
0
8
8
32
16
0
4
0
0
16
16
0
8
8
0
18
18
18
8
8
16
0
0
0
8
16
16
0
8
8
8
8
8
0
0
8
0
17
57
17
8
8
8
16
8
16
0
0
0
0
4
0
16
0
0
10
8
0
0
62
0
0
0
8
8
8
0
0
32
8
0
8
8
8
8
0
0
6
4
32
1
1
0
0
0
10
16
16
16
16
0
0
0
38
16
16
16
16
16
18
2
18
16
8
0
9
8
0
8
8
0
28
8
0
0
16
16
25
0
24
11
3
8
0
0
8
0
0
0
4
4
8
8
28
28
28
16
16
8
16
16
8
24
0
0
0
0
8
0
0
0
24
8
4
8
40
8
4
13
0
0
12
6
6
49
8
8
8
16
1
1
1
1
1
1
16
16
17
16
8
0
16
0
8
8
0
0
0
34
34
34
0
8
8
8
4
6
16
4
4
16
2
8
8
8
8
0
0
20
1
0
0
0
8
16
16
16
1
1
8
8
8
8
8
32
2
0
16
8
8
8
12
2
2
32
0
0
8
0
0
0
0
57
8
0
0
8
8
8
8
0
0
8
0
0
0
0
8
8
8
8
16
16
16
1
4
0
8
8
8
8
8
0
22
16
0
0
0
4
8
4
8
8
16
16
0
4
16
0
0
0
16
0
16
16
16
28
8
8
0
0
8
8
8
8
8
8
1
9
8
8
8
8
8
0
0
0
0
2
4
16
16
4
0
0
8
32
32
32
0
0
16
16
16
18
18
0
0
0
0
0
16
16
8
4
1
0
0
8
0
0
0
20
8
8
8
0
0
8
8
8
0
0
1
1
4
0
4
4
8
0
4
4
0
8
8
8
8
4
1
1
0
0
0
2
2
2
24
24
4
24
8
8
0
0
8
0
2
2
2
12
12
8
3
17
16
16
16
16
0
0
8
8
0
8
8
8
8
4
4
0
0
0
16
16
33
8
24
0
0
0
0
8
0
0
0
2
16
2
8
2
0
0
0
2
2
8
8
8
8
0
0
0
0
8
8
0
1
0
6
8
8
8
8
8
8
8
0
8
8
8
2
2
2
0
0
8
8
17
4
4
8
28
8
58
58
0
8
8
18
2
24
24
24
8
16
0
0
8
8
0
1
16
24
0
0
0
8
8
8
0
0
16
55
2
10
32
32
8
8
16
20
0
8
8
0
0
16
16
8
4
0
0
16
16
16
0
16
5
5
5
8
0
16
24
24
24
0
16
0
0
0
24
24
0
0
8
0
0
0
8
16
16
2
2
2
0
1
0
0
0
16
16
0
0
0
0
0
24
8
8
0
8
8
8
8
8
0
16
0
0
0
0
0
16
16
0
0
0
0
4
1
0
16
16
16
0
0
49
40
8
0
0
0
0
8
8
8
0
0
16
0
20
4
4
45
8
8
8
8
8
8
8
0
0
0
14
16
16
0
0
0
0
1
32
8
16
8
14
8
8
0
8
8
4
4
4
0
0
0
1
8
8
8
8
0
0
8
8
8
8
16
0
0
0
1
16
4
8
0
16
0
0
0
16
1
1
1
8
0
0
0
0
16
16
4
0
16
16
4
8
16
2
2
4
0
0
32
32
8
2
0
0
0
8
0
0
8
8
0
0
0
0
4
4
0
8
0
0
4
4
16
0
6
6
6
16
0
0
0
0
0
1
1
1
8
20
2
2
4
18
18
0
8
5
0
0
0
0
0
0
0
0
0
1
8
8
0
0
0
24
16
8
4
4
4
16
16
16
0
0
4
0
16
1
1
1
2
8
8
0
0
0
0
0
0
0
0
4
16
16
16
16
16
16
16
16
8
8
8
16
0
0
8
8
0
0
4
4
8
8
0
0
0
0
0
0
16
16
33
33
33
8
2
2
0
18
18
18
18
18
18
0
8
0
0
0
0
4
0
8
8
0
1
1
16
16
0
1
1
8
0
0
24
24
24
0
0
8
8
12
18
18
0
0
2
0
0
0
8
8
17
8
16
16
0
0
0
0
0
0
0
16
16
16
0
16
2
22
18
0
0
32
0
0
0
0
0
0
8
0
8
0
0
0
21
59
59
59
4
4
4
0
0
0
8
3
3
1
1
0
0
8
8
8
8
48
16
8
2
2
8
10
8
0
0
0
8
8
8
8
0
12
8
8
56
56
56
16
0
0
28
28
0
8
1
1
1
10
2
2
8
8
8
16
16
4
0
16
16
0
0
0
0
0
4
16
16
16
0
0
0
8
0
20
8
8
8
8
8
0
0
8
16
1
1
8
8
0
4
0
0
0
24
0
0
0
2
0
4
4
8
8
8
0
0
8
16
16
0
16
16
16
13
2
8
8
4
4
0
0
0
32
0
8
0
8
2
0
0
0
8
0
0
1
16
2
0
0
0
0
4
1
48
8
8
8
0
0
0
1
8
8
16
16
4
4
8
8
8
8
2
2
8
8
8
0
8
8
8
8
8
8
1
17
12
4
8
0
0
0
8
0
8
8
8
10
10
8
8
8
8
16
16
4
6
6
8
8
4
0
8
4
8
8
2
2
2
16
1
2
0
0
0
1
2
16
16
16
8
2
0
16
8
8
4
4
8
8
0
0
16
16
21
0
16
16
8
8
8
8
0
16
8
16
16
16
1
0
0
8
8
8
8
0
16
16
4
4
12
8
0
0
8
16
0
0
0
4
4
8
0
20
20
0
0
8
8
0
8
16
0
0
8
8
8
16
8
0
1
17
1
8
0
0
8
8
8
16
16
24
8
24
8
8
8
8
8
8
8
40
0
0
8
16
16
16
16
0
0
2
0
8
0
17
0
0
0
16
26
0
16
16
0
0
4
16
16
16
16
1
1
1
1
1
8
8
16
0
0
0
16
16
16
8
0
0
8
8
8
8
8
0
8
8
8
8
2
24
8
8
0
0
0
0
32
0
1
0
8
8
8
1
1
1
8
16
8
8
8
8
2
2
8
8
8
4
4
0
8
17
0
0
8
0
0
24
0
0
4
0
0
2
2
16
0
0
0
8
8
8
8
0
16
1
1
8
0
16
0
8
8
0
16
16
4
4
0
8
8
8
8
4
0
8
8
0
0
0
0
0
2
25
8
8
0
24
1
1
1
8
8
8
0
0
0
0
1
0
8
8
4
4
0
1
0
8
0
0
8
1
16
0
0
17
17
16
16
0
0
0
0
0
16
8
8
8
4
4
1
0
8
8
28
16
16
8
8
8
8
8
0
16
16
24
8
8
8
8
2
26
2
8
0
0
32
8
32
0
2
2
2
8
1
1
1
4
8
8
0
8
0
8
8
12
16
8
8
0
0
17
17
0
0
8
8
8
8
8
0
0
0
8
8
8
8
0
0
0
17
17
12
0
0
20
20
8
8
1
8
8
0
24
0
8
8
8
0
0
1
24
8
21
0
4
0
8
8
8
8
2
2
0
8
8
0
0
0
0
24
16
8
8
8
8
8
8
8
0
16
16
16
0
0
2
2
2
4
0
0
4
8
8
8
8
8
0
5
4
0
16
8
0
32
9
1
0
0
0
0
8
8
8
8
8
16
16
16
8
8
8
0
2
2
2
0
0
0
0
4
4
0
24
0
8
8
4
8
2
4
4
0
8
8
8
0
32
48
32
32
32
8
16
10
0
8
8
8
0
0
0
8
8
8
8
0
0
8
0
0
0
8
12
12
1
8
0
0
8
8
8
8
0
16
8
2
2
0
0
0
0
0
0
16
0
0
8
1
1
1
1
16
8
24
8
8
8
0
0
0
0
0
0
8
0
8
0
1
0
4
8
17
17
17
4
4
4
4
4
1
0
16
0
8
2
2
1
1
1
1
0
0
0
0
8
8
8
0
8
0
8
24
8
32
0
0
8
8
8
16
0
0
16
16
16
0
0
16
0
0
0
0
0
0
40
0
16
4
1
16
16
16
16
0
0
0
0
0
20
20
0
8
8
8
0
0
8
8
8
8
16
16
16
16
16
16
16
0
0
0
8
0
16
16
16
16
16
16
16
16
1
0
0
0
16
16
16
1
1
0
16
16
1
17
17
17
8
8
8
4
4
0
0
2
8
0
8
0
0
0
8
8
8
8
4
0
0
0
0
0
8
8
8
1
8
8
0
0
0
8
16
0
0
8
8
0
8
32
6
0
8
8
8
8
8
8
8
8
0
18
16
8
8
18
0
4
0
4
4
0
0
0
0
0
0
0
16
8
0
0
16
16
0
0
0
0
0
0
1
8
8
48
0
0
0
2
4
8
1
10
0
0
0
0
16
16
16
0
0
0
16
24
17
16
16
16
16
8
18
16
8
8
61
1
1
1
1
0
0
0
1
16
16
0
0
8
8
8
0
1
8
1
0
8
8
0
0
20
0
0
0
4
0
16
16
8
8
8
8
16
0
0
16
0
2
0
1
16
8
8
8
0
0
0
0
8
0
0
16
0
0
0
0
24
24
24
16
8
8
8
8
16
16
0
1
16
16
16
0
0
0
0
8
8
0
0
16
48
48
0
0
0
16
16
4
4
16
16
16
16
1
1
0
0
8
8
8
8
20
20
8
16
16
16
16
16
16
16
8
8
0
0
0
0
0
8
8
8
0
1
0
0
0
0
2
2
1
0
16
8
8
8
0
16
16
8
8
0
8
0
4
4
0
0
0
0
4
4
1
4
0
16
8
28
12
12
0
1
8
8
8
0
0
1
1
8
4
4
24
4
4
1
1
18
8
24
24
8
0
0
24
16
16
8
8
8
0
0
16
8
8
8
16
0
0
0
0
0
8
8
0
1
1
0
8
8
0
16
6
22
0
8
16
16
0
2
16
16
0
52
8
0
0
8
16
1
1
0
16
16
0
0
0
0
0
0
8
8
8
2
28
8
8
24
0
0
0
0
4
2
2
4
4
61
0
0
0
0
0
0
0
0
0
0
16
24
0
0
0
8
16
16
8
8
16
4
4
0
0
1
0
0
0
0
0
2
0
0
0
1
0
2
0
0
8
0
0
0
24
24
16
16
16
4
0
16
24
16
16
8
0
0
11
32
8
0
40
0
1
8
8
8
8
8
8
0
2
0
0
0
8
0
0
4
20
4
4
20
0
8
0
32
16
0
0
32
32
32
32
32
8
8
8
8
16
8
8
1
0
0
0
4
8
0
0
0
24
8
8
8
32
0
0
0
1
8
8
8
8
4
4
4
0
2
0
0
8
8
0
8
16
16
16
16
8
0
0
0
0
0
10
8
0
0
0
0
8
8
0
8
8
8
0
8
8
8
10
0
0
0
41
16
1
8
0
0
16
16
18
16
16
8
8
8
8
0
0
0
16
8
0
1
1
1
1
1
0
8
8
8
8
0
8
0
0
0
0
4
19
2
8
8
0
0
8
8
8
0
8
16
16
16
4
16
0
20
40
32
32
0
0
8
0
1
1
1
1
0
24
0
16
8
20
20
20
0
1
1
1
16
16
0
0
0
8
8
8
8
8
8
8
0
0
24
16
16
8
8
8
0
8
8
0
0
16
2
0
8
0
0
0
0
0
8
8
16
16
16
0
8
8
16
8
28
8
8
2
24
8
8
8
8
0
0
24
0
16
0
8
8
8
0
0
0
0
16
2
60
60
32
44
0
0
0
8
8
1
1
1
2
0
16
2
0
0
61
8
8
8
16
0
0
24
24
24
18
0
8
0
16
17
8
0
0
8
8
16
16
16
0
8
0
26
8
8
1
8
8
8
8
8
3
4
8
0
4
4
8
8
4
20
9
0
0
0
4
8
8
8
0
8
8
8
0
16
16
16
48
26
16
16
16
0
0
0
0
0
8
8
8
0
8
16
16
0
8
8
24
0
8
8
8
8
0
8
8
8
8
16
16
16
17
17
0
8
0
0
16
16
4
1
0
0
0
16
16
16
16
16
0
8
16
16
20
16
4
4
8
8
8
0
8
4
0
0
0
1
0
16
1
0
1
0
0
0
0
0
26
0
0
18
16
16
16
0
8
8
8
4
4
4
29
0
16
16
1
0
8
32
48
8
0
16
16
16
17
8
8
16
0
8
8
8
8
8
8
8
0
0
0
0
0
17
0
0
8
8
0
0
4
4
4
0
18
0
0
0
0
0
8
8
4
4
0
0
0
16
0
0
0
2
0
8
8
16
16
8
3
0
8
8
0
0
16
0
25
25
0
16
4
2
4
4
4
0
0
2
2
2
16
16
16
16
16
26
17
17
0
0
0
0
4
8
12
1
4
6
2
28
4
2
0
0
0
0
0
8
8
8
16
8
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
4
0
2
1
0
0
16
16
0
16
2
0
0
16
16
4
4
0
0
0
0
0
24
0
0
16
16
8
0
0
0
0
0
0
0
1
8
8
0
0
16
32
32
32
0
8
8
8
0
0
0
0
8
1
8
4
6
0
4
4
4
4
8
8
8
0
4
0
16
16
8
8
8
8
16
0
0
0
0
0
0
0
0
8
8
0
0
0
8
8
8
8
0
0
16
16
0
0
0
0
16
4
0
0
0
0
0
0
0
0
0
36
4
8
0
2
2
2
8
4
0
0
0
0
0
0
8
13
0
0
16
16
16
0
4
16
2
2
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
1
0
34
34
34
34
0
0
8
0
8
8
0
4
49
0
0
0
16
0
16
16
0
0
16
0
0
8
0
0
0
0
0
0
0
1
1
24
24
0
0
16
16
16
0
0
0
8
4
8
16
16
0
16
0
16
0
16
16
2
0
0
4
0
0
24
0
0
0
0
0
0
24
0
0
0
12
12
0
0
0
0
0
16
18
1
1
0
8
0
0
0
0
0
0
4
4
0
0
0
16
0
0
0
0
0
0
16
0
8
8
1
1
0
0
8
4
0
8
0
0
0
0
0
0
57
57
57
4
0
0
0
4
0
0
1
0
0
0
8
8
16
17
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
8
8
16
16
16
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
16
16
3
0
0
0
0
0
0
1
4
4
16
0
16
16
0
0
2
2
0
16
0
8
8
0
0
0
0
0
0
8
8
8
8
0
0
0
0
0
8
8
0
0
4
4
4
4
8
8
8
0
8
8
0
0
7
0
0
0
16
0
0
8
8
4
0
0
0
52
52
8
16
33
33
1
0
0
0
0
0
0
0
1
8
0
0
0
0
0
9
9
4
8
8
8
0
0
0
0
0
0
1
0
0
1
24
24
8
8
8
8
8
0
0
4
4
0
16
0
0
8
0
0
12
12
0
16
16
1
1
1
0
8
16
16
0
0
8
19
0
0
4
16
16
16
16
16
0
32
0
8
0
21
0
4
4
4
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
16
8
8
8
8
0
8
8
1
40
40
0
0
8
8
8
8
8
0
16
2
2
8
21
1
1
4
4
8
8
8
8
0
0
0
0
0
8
0
0
0
0
0
0
2
16
16
16
0
0
0
24
0
0
0
0
0
0
16
16
0
8
2
0
0
0
8
0
0
40
40
0
0
44
17
1
2
2
0
4
4
0
0
0
8
4
0
0
0
0
16
0
0
0
8
8
17
0
0
0
0
0
0
0
0
24
24
0
0
0
0
16
0
0
8
0
8
8
0
0
0
0
0
0
0
0
0
16
16
0
8
4
8
1
0
0
8
16
0
32
0
24
16
0
0
0
0
4
4
8
0
0
42
0
0
0
0
0
0
0
0
8
0
0
0
0
8
0
8
0
0
8
0
0
0
17
17
17
8
8
0
16
16
16
0
6
31
0
20
20
0
0
0
16
0
0
0
0
0
0
0
8
0
0
0
8
33
4
4
4
0
8
0
0
2
8
8
8
8
8
0
0
0
0
0
16
0
0
0
16
0
17
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
4
0
0
0
0
0
0
16
0
0
8
18
0
8
24
0
0
16
2
2
16
16
0
0
8
8
1
4
0
0
0
4
0
0
8
0
0
4
0
16
16
16
0
8
8
6
4
4
4
4
4
4
4
6
6
16
16
0
2
0
0
4
16
16
3
3
3
0
0
8
8
0
0
1
0
4
0
0
0
0
4
0
16
0
0
2
2
0
0
8
8
4
16
0
0
0
0
8
0
0
0
0
24
16
0
0
0
0
8
0
0
0
1
3
3
0
24
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
18
0
0
0
0
0
4
4
4
0
0
0
1
1
16
0
1
8
8
0
0
1
1
0
16
0
8
0
0
8
0
28
20
18
18
20
0
0
0
40
16
0
16
16
8
8
0
0
0
0
0
0
0
0
16
0
2
0
0
8
10
4
4
4
0
0
0
0
0
0
0
0
0
0
0
0
5
0
8
8
8
8
8
2
0
0
16
8
8
8
4
0
0
0
0
0
0
0
16
0
0
0
0
8
0
0
0
0
8
0
4
1
0
0
16
24
1
8
8
16
0
4
0
24
8
8
8
0
2
0
0
16
0
16
0
0
0
20
20
0
10
8
0
0
0
24
24
0
16
8
8
8
8
8
8
8
16
16
0
0
0
0
0
8
0
0
0
0
1
24
0
0
0
0
8
2
0
0
0
0
8
8
16
16
24
8
0
0
0
2
21
0
5
1
8
0
0
16
16
1
1
1
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
20
0
0
0
32
0
0
0
3
0
0
0
0
0
0
8
8
16
0
8
0
0
0
0
4
9
2
0
0
0
16
16
30
16
16
16
16
16
16
8
8
4
8
0
0
0
0
0
0
8
2
2
12
0
4
4
0
0
0
0
0
29
29
29
29
29
29
0
0
16
0
0
8
0
0
4
8
0
0
0
0
0
21
21
8
8
0
0
0
0
0
0
0
12
0
0
8
8
0
0
0
0
20
0
8
0
0
4
20
0
0
0
0
0
0
0
0
0
0
0
0
0
12
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
8
8
16
16
16
16
16
0
20
0
0
0
0
0
20
0
0
0
48
16
8
8
0
0
0
0
0
0
0
16
17
2
0
0
0
0
0
0
0
0
8
8
8
0
40
0
0
16
16
16
0
0
0
0
0
0
0
9
0
4
0
0
0
8
0
0
0
0
1
0
8
8
8
8
8
8
0
0
0
0
16
0
0
8
8
12
0
0
0
16
8
8
4
0
8
8
0
0
1
1
9
9
8
8
8
16
0
0
0
16
0
4
0
0
0
0
16
0
2
0
16
0
4
4
16
16
4
0
0
0
16
16
0
0
0
0
8
22
0
8
0
0
8
0
4
0
4
4
16
16
0
0
8
8
0
0
0
8
0
0
10
0
0
0
0
0
24
24
8
16
0
0
1
0
0
0
0
24
4
16
16
0
0
0
16
16
8
8
24
24
24
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
8
8
0
0
0
16
0
1
1
0
2
40
0
2
16
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
8
8
0
0
0
0
8
0
0
0
0
4
0
0
0
4
0
2
2
0
0
2
16
0
0
0
0
0
2
0
8
4
4
4
0
0
4
4
4
0
10
0
16
8
8
8
0
0
0
25
25
8
8
8
8
8
8
8
16
0
0
4
0
0
0
0
0
0
0
0
0
16
0
18
18
0
8
8
8
0
8
8
0
0
0
0
0
8
0
0
0
0
0
8
0
4
0
0
0
5
15
0
0
0
16
0
0
4
16
16
4
16
0
12
0
0
0
0
0
50
0
0
0
8
0
0
28
0
0
0
0
8
8
0
16
0
0
0
0
0
0
0
0
0
16
16
0
0
0
16
0
16
32
0
16
16
16
16
16
4
4
0
8
0
16
16
16
16
0
1
8
0
0
0
2
16
16
0
2
6
0
9
17
0
0
4
12
8
8
8
2
2
0
16
0
16
0
0
16
1
0
0
0
0
4
16
16
2
2
2
0
0
0
0
0
0
0
4
16
8
8
10
10
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
20
8
8
0
1
1
0
16
0
0
0
0
0
4
24
0
0
0
57
4
0
5
5
5
0
1
16
16
16
16
0
0
24
0
0
0
0
32
0
1
1
1
0
8
0
16
8
8
2
2
2
8
0
0
0
0
0
0
0
0
16
0
16
16
0
8
0
0
0
0
16
0
0
0
0
0
0
0
0
0
8
0
0
0
0
16
16
0
0
0
0
2
2
0
0
0
0
0
24
8
8
0
0
0
0
1
0
0
16
16
16
48
8
0
0
0
4
24
0
28
0
0
0
0
0
2
0
0
0
8
0
0
0
8
0
0
0
44
8
8
0
0
0
0
8
0
0
0
0
0
0
8
0
0
0
0
4
4
8
0
8
0
0
0
0
0
0
0
0
18
0
0
0
8
8
0
8
8
8
2
2
2
4
0
4
0
8
0
1
0
0
0
4
0
2
2
1
1
16
16
0
1
0
2
2
2
8
2
0
0
2
2
2
0
0
16
16
16
0
9
9
0
8
0
0
0
0
0
0
40
8
8
16
0
0
0
0
0
4
0
0
0
8
2
2
0
0
0
8
8
24
20
16
16
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
8
8
0
16
16
0
0
0
25
0
0
0
0
0
0
0
0
16
16
16
0
0
8
8
18
0
0
0
0
0
16
16
4
4
4
16
16
2
2
0
0
0
0
0
8
8
4
2
2
0
8
8
8
8
0
0
0
0
0
0
0
20
20
20
0
0
0
0
16
16
16
16
16
16
0
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
8
16
0
0
0
0
16
16
16
16
16
16
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
18
0
4
4
4
1
1
0
0
0
0
17
0
0
4
4
4
4
8
28
4
4
0
0
0
0
12
0
0
0
0
0
5
5
5
0
57
0
0
1
0
0
12
12
0
0
20
0
16
0
0
0
0
0
0
16
16
16
4
0
0
0
16
16
8
0
0
0
0
0
8
1
8
8
8
0
8
8
0
0
2
0
0
8
0
0
0
0
0
0
0
0
4
2
0
0
0
0
8
2
0
0
18
0
4
8
18
2
2
0
0
0
0
16
16
16
0
0
0
0
0
8
8
24
16
24
0
8
0
0
1
0
0
0
8
8
8
0
8
8
8
0
0
8
16
0
0
22
22
0
0
0
0
4
0
8
8
0
0
0
4
0
0
16
16
16
0
8
8
5
8
20
20
0
0
8
8
1
4
0
25
0
0
0
0
0
0
0
0
0
1
1
1
0
8
0
0
0
0
0
0
12
8
0
0
0
0
0
0
16
16
4
4
0
0
8
1
0
8
0
4
0
16
16
0
0
0
0
0
0
16
16
0
0
0
0
0
4
0
0
16
0
0
0
0
0
8
8
8
8
16
2
16
16
16
0
0
0
16
16
8
8
8
0
0
1
0
16
0
0
0
0
0
8
0
0
16
16
4
0
0
0
0
12
4
0
6
0
0
0
2
2
0
0
0
8
24
0
0
0
0
0
0
0
20
0
0
16
16
24
0
0
8
0
24
0
0
0
40
0
0
0
0
0
0
0
0
1
24
24
16
0
0
8
8
0
0
0
0
0
0
0
1
0
0
0
0
0
1
1
1
0
0
4
4
0
0
1
4
0
0
0
0
8
0
0
24
0
1
1
20
0
0
1
1
16
16
0
0
0
0
0
0
0
0
0
4
0
0
8
0
0
0
0
0
0
0
4
0
0
0
0
0
8
0
8
0
0
12
0
0
0
0
0
0
0
8
22
0
8
8
0
0
8
0
0
0
16
0
0
0
16
0
2
20
20
8
8
0
0
0
0
0
0
0
2
2
2
0
0
16
16
2
8
0
2
2
0
16
0
0
0
0
0
0
0
8
0
0
16
9
9
0
0
0
0
24
24
2
0
0
0
0
0
0
0
0
0
17
0
0
4
4
8
8
0
0
0
0
0
0
0
0
0
0
1
16
8
0
0
0
0
0
8
56
0
8
0
0
0
2
0
4
0
0
32
8
8
0
0
0
3
0
0
0
0
0
0
0
0
0
0
8
0
0
4
0
0
8
0
0
8
8
9
0
0
16
0
0
0
0
0
0
0
20
0
8
8
0
0
17
17
0
8
2
0
0
0
0
0
0
0
0
0
0
1
1
0
16
0
0
0
0
0
8
4
4
4
4
0
0
8
0
0
0
8
9
9
0
0
0
0
0
0
0
0
0
9
0
2
2
0
0
0
0
0
0
0
4
0
0
0
0
0
0
16
0
0
8
8
2
8
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
20
8
32
33
33
8
8
8
8
24
24
0
16
0
20
20
0
0
0
16
16
41
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
8
16
0
2
16
16
0
0
0
8
16
0
0
0
8
8
0
16
4
24
24
0
8
8
8
8
4
0
0
4
4
16
24
16
0
0
0
0
8
16
0
0
16
16
4
4
0
0
0
0
0
0
0
1
0
12
0
0
0
0
0
57
57
16
8
8
0
0
0
0
0
4
0
0
0
0
0
16
8
8
0
0
0
0
8
8
8
8
8
16
0
16
0
0
0
0
0
4
4
2
0
0
0
0
0
0
0
0
0
0
3
16
16
0
0
8
0
0
4
0
18
0
0
20
16
16
16
4
4
4
4
16
16
16
0
24
0
0
16
16
0
6
6
0
16
16
0
0
0
16
2
2
4
16
16
16
0
0
0
1
8
0
0
8
1
0
0
46
46
16
0
8
28
0
0
0
0
0
0
1
1
1
1
8
8
8
0
8
0
0
0
0
16
16
16
16
16
0
28
28
0
0
0
23
16
8
8
6
6
6
1
1
1
1
0
16
16
16
0
20
0
0
8
5
0
0
0
0
0
0
0
4
4
16
1
14
24
0
0
16
0
0
0
0
16
8
0
1
8
8
8
16
0
0
0
8
8
8
8
8
0
8
8
8
8
8
8
8
8
0
0
16
16
0
0
16
8
16
32
4
0
0
0
0
0
4
0
0
0
8
24
16
16
16
16
0
0
0
0
0
0
20
20
20
20
20
20
0
0
0
0
0
2
24
24
8
8
0
20
16
16
16
16
0
0
0
2
2
1
0
0
0
0
0
0
0
0
0
4
0
0
0
0
8
8
24
24
0
26
10
0
0
0
0
16
0
8
2
2
8
0
0
0
0
0
16
0
0
8
10
8
1
4
4
4
4
4
0
0
8
8
8
0
0
0
0
24
0
0
16
4
0
4
0
0
0
2
0
2
0
0
0
0
0
0
0
0
0
8
8
32
0
0
0
0
0
8
8
0
28
0
0
16
2
2
4
0
0
0
0
1
0
8
8
8
0
0
0
0
0
0
16
16
0
8
8
8
0
0
0
8
0
1
1
4
4
4
4
25
0
0
0
8
0
0
0
0
14
0
0
4
8
0
16
16
0
0
0
0
0
0
8
0
8
8
0
6
17
16
16
0
0
0
0
8
4
3
3
4
4
0
0
0
0
0
0
8
8
8
0
0
8
0
0
8
0
0
0
8
8
8
0
8
0
0
0
0
0
0
0
0
1
1
1
0
16
4
0
0
0
0
8
0
8
0
0
0
8
0
16
16
8
0
0
0
0
0
8
8
16
8
0
8
0
1
0
0
0
4
0
0
0
32
32
32
32
8
0
13
0
0
0
8
0
0
0
0
0
0
8
8
0
0
0
0
0
5
0
0
16
16
2
0
0
8
0
16
8
0
32
32
32
0
0
0
16
8
16
0
2
2
0
16
0
0
0
0
16
16
20
1
0
0
0
0
16
16
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
16
25
25
0
8
0
0
8
8
0
0
0
0
16
8
16
0
0
8
0
0
0
0
0
0
0
4
0
24
24
0
0
16
0
0
0
16
0
8
0
8
0
8
0
0
1
29
0
4
0
0
2
8
8
8
0
0
0
16
16
24
0
4
4
16
4
8
8
8
2
16
2
0
16
0
0
0
32
48
0
4
4
1
8
8
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
16
24
0
0
0
16
8
8
0
0
0
0
1
8
8
4
16
16
16
16
0
8
8
0
0
0
0
0
0
0
0
8
14
0
8
0
19
0
0
1
6
0
0
0
0
0
0
0
8
8
8
0
4
0
0
16
0
0
0
0
0
0
0
16
0
24
8
0
0
0
8
0
0
24
8
0
4
16
0
0
16
8
16
0
0
0
0
0
0
0
8
8
8
1
1
0
0
0
0
0
0
0
16
2
2
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
4
8
8
8
16
16
16
16
0
1
0
8
8
0
0
24
9
0
0
18
0
0
0
16
8
17
0
0
0
16
16
16
0
16
0
2
16
0
0
4
0
0
0
16
0
0
0
0
1
0
8
12
12
8
0
0
8
0
0
0
0
16
2
0
0
0
8
8
8
0
0
0
0
0
8
0
8
0
0
0
0
0
11
11
11
0
4
0
0
0
16
4
1
0
0
24
0
0
16
16
0
0
0
0
16
4
0
16
0
4
0
0
0
0
4
0
0
0
8
0
0
0
0
2
18
9
9
0
8
8
16
0
0
4
0
0
12
0
33
0
0
16
16
8
16
4
4
24
24
24
16
1
16
0
0
0
0
8
1
0
16
16
2
59
0
0
0
0
0
0
0
1
0
0
16
0
8
8
0
0
0
0
0
0
0
0
0
16
16
16
0
0
0
0
0
0
0
0
0
16
8
16
8
0
0
0
4
1
2
0
0
0
8
0
0
40
8
0
0
2
16
16
16
0
8
8
8
0
0
0
0
0
18
18
0
0
8
0
0
0
0
16
0
0
0
0
0
0
0
0
0
16
0
0
0
0
12
12
2
2
0
24
0
0
0
8
0
4
0
12
4
8
8
8
0
0
32
8
0
0
0
0
0
0
0
8
24
24
0
0
8
8
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
8
16
4
8
8
8
0
0
16
0
0
0
0
0
0
0
0
0
4
4
1
1
32
1
1
1
16
16
2
0
0
21
21
0
8
0
0
0
16
16
16
16
16
16
16
16
0
8
1
0
0
0
0
2
8
8
0
33
33
33
33
10
2
8
0
4
4
4
0
0
0
8
8
8
8
8
8
8
0
0
4
8
4
20
0
0
0
0
0
4
1
1
0
0
8
8
16
16
16
0
20
16
16
16
0
0
16
0
0
0
0
0
1
1
22
22
0
0
24
0
0
0
8
8
0
0
0
0
4
8
8
0
16
8
8
8
8
0
0
0
8
8
9
0
0
0
16
16
16
1
8
8
0
0
0
0
4
4
4
16
0
0
0
24
16
16
4
8
0
48
48
0
0
8
4
4
8
0
16
0
0
0
12
12
12
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
16
16
0
5
18
2
0
32
0
8
8
8
4
0
3
3
8
0
0
16
0
0
0
0
0
0
12
2
0
8
0
0
8
0
0
8
0
8
0
20
20
16
16
8
8
8
0
0
8
0
0
0
8
8
8
0
0
12
12
2
0
0
8
0
1
1
1
0
0
4
4
27
16
16
0
4
1
0
0
0
8
0
8
8
0
20
8
20
4
8
17
17
0
0
0
0
8
8
16
16
0
16
8
0
0
0
0
0
16
16
16
0
20
0
0
0
21
48
32
16
0
0
0
1
0
0
0
0
28
0
4
4
8
8
8
8
8
0
8
8
8
0
0
8
8
8
16
32
16
8
0
0
0
0
0
4
16
16
16
0
0
0
24
16
36
8
0
16
16
16
16
0
0
2
12
4
0
0
0
0
0
0
0
48
48
8
0
0
2
12
12
12
36
4
8
0
0
0
0
0
8
16
1
0
0
0
24
24
1
1
16
0
0
0
0
16
0
8
24
8
8
0
0
0
8
0
0
0
16
4
8
8
8
8
8
8
8
8
0
0
57
57
0
25
24
0
0
0
17
8
0
0
8
16
0
8
44
0
16
0
1
0
8
8
16
17
0
0
8
0
8
0
0
0
8
0
0
8
0
16
16
0
0
0
8
0
8
8
8
8
8
8
8
8
8
8
0
0
16
24
24
16
8
0
16
0
8
8
8
8
0
0
0
8
8
8
8
8
8
16
8
8
8
0
8
24
0
40
40
0
8
8
12
0
8
8
8
16
0
0
16
0
0
0
8
0
0
0
16
0
6
6
6
4
4
0
0
8
8
8
24
0
20
0
16
1
8
2
2
0
0
0
0
0
0
0
0
0
0
8
0
8
8
2
2
0
1
0
0
0
0
0
0
1
0
0
0
18
18
18
0
0
16
8
8
1
16
24
24
16
0
8
8
0
0
0
0
0
0
0
0
1
1
0
0
0
0
8
16
16
16
16
16
16
8
0
0
0
24
0
8
48
0
0
9
1
3
0
8
8
8
0
0
4
8
0
0
2
0
0
0
8
0
0
17
0
0
0
0
0
0
0
0
8
0
2
2
16
0
4
4
4
8
8
8
8
0
0
0
0
8
8
8
8
8
4
4
0
0
0
0
1
1
0
8
8
12
8
0
5
5
5
25
0
0
16
16
16
0
0
0
0
16
0
16
16
8
8
14
4
8
0
8
8
8
8
8
8
8
0
16
0
0
8
8
16
16
0
0
0
2
2
2
8
8
0
0
4
4
4
0
0
0
8
8
8
4
16
0
0
8
8
8
0
0
0
16
0
0
0
28
8
8
18
0
0
28
20
4
0
8
8
0
0
0
0
0
0
20
20
0
0
0
0
1
16
16
0
0
0
0
0
2
2
0
0
4
4
4
4
4
0
0
0
8
8
16
16
4
4
2
0
0
0
8
16
1
8
8
0
4
16
16
8
8
0
0
16
18
8
8
8
8
8
0
14
0
4
4
4
8
4
1
0
11
8
8
0
8
2
2
5
2
0
0
0
0
8
8
8
8
8
0
0
0
0
24
24
8
6
6
16
0
8
0
0
0
0
0
0
0
8
16
16
0
0
0
8
0
24
8
8
1
0
4
20
0
0
6
0
16
0
0
24
8
4
4
4
0
16
16
14
8
0
0
0
0
0
0
0
0
0
8
8
8
9
9
16
0
0
0
0
2
2
2
2
0
0
0
0
0
0
0
0
0
16
14
17
8
8
8
8
8
16
8
8
8
8
8
0
0
0
0
16
16
16
16
0
20
20
8
0
0
8
0
0
16
16
0
0
0
0
0
16
0
0
0
0
1
1
0
0
4
4
24
0
0
16
0
0
0
0
0
0
8
8
8
4
16
16
4
4
5
0
17
8
8
8
8
8
8
8
8
8
0
1
25
0
8
0
8
16
16
8
16
0
0
0
0
0
1
24
16
16
16
8
0
16
8
8
8
0
16
16
16
0
0
0
16
16
0
6
0
0
0
16
0
0
0
8
4
8
16
4
1
2
0
16
16
0
1
8
0
0
0
8
8
8
0
4
0
0
16
0
0
1
1
8
0
8
8
0
8
8
8
0
8
8
0
4
0
0
0
16
16
0
8
0
1
18
26
24
0
0
0
0
0
8
8
16
8
8
8
8
0
2
4
4
1
1
1
1
0
0
0
0
0
0
15
0
4
2
1
0
0
0
32
32
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
16
2
2
0
0
0
0
0
0
0
0
0
5
5
0
0
0
0
12
0
8
8
8
0
0
2
6
10
10
10
16
0
2
2
2
1
0
0
16
1
0
0
0
0
8
8
4
1
0
0
8
8
8
8
8
8
4
16
16
0
0
0
4
4
0
0
0
0
0
16
16
8
8
8
8
8
0
48
16
16
0
16
16
0
8
8
0
0
36
36
0
4
16
0
0
0
0
0
0
0
4
16
16
16
0
0
17
17
2
0
0
0
0
0
8
0
1
8
8
8
4
0
0
8
32
0
1
4
16
0
2
18
2
8
17
4
8
0
0
0
8
8
8
0
8
8
8
2
8
8
8
8
8
8
8
0
0
20
20
20
0
2
16
16
16
32
32
32
32
0
0
16
0
0
0
0
8
8
8
8
8
4
0
0
8
8
0
0
0
0
0
0
16
9
0
0
0
0
24
20
1
1
1
1
16
8
8
33
0
16
0
16
4
0
0
0
0
16
1
0
0
8
2
2
0
8
8
8
16
16
18
0
0
0
0
4
24
8
24
16
0
8
8
8
0
1
0
0
8
8
8
0
0
0
8
0
24
24
0
0
0
0
0
0
0
16
16
16
16
0
0
1
1
0
8
24
16
0
0
26
26
8
0
0
0
8
8
8
24
1
0
0
8
8
8
0
0
8
16
2
0
4
4
4
0
0
16
16
16
12
8
8
0
24
24
0
16
24
4
0
0
8
8
0
0
0
8
0
0
8
0
16
0
8
1
0
8
8
8
0
4
1
0
24
16
0
0
8
0
0
0
0
8
16
16
0
0
0
0
0
8
0
4
4
4
8
16
0
0
0
0
4
4
0
0
0
0
8
0
17
0
0
0
0
2
8
8
8
8
0
0
8
40
0
0
0
0
8
0
8
8
8
8
8
0
0
0
2
2
8
8
8
16
8
8
8
0
0
16
8
32
32
0
0
0
32
32
0
4
0
24
4
4
4
4
16
0
0
16
16
16
16
0
0
1
0
16
16
16
0
24
8
8
0
0
20
20
20
8
8
8
8
0
0
0
4
1
1
0
0
8
8
0
8
0
16
0
8
12
4
4
16
16
4
0
0
0
0
0
0
0
4
32
0
8
16
8
0
0
8
8
16
16
0
8
30
30
0
16
16
8
0
8
8
18
8
8
8
8
0
0
8
0
0
0
0
0
16
0
0
0
0
0
18
0
2
50
0
1
56
5
5
2
2
2
4
0
0
16
16
16
16
8
8
0
16
16
0
16
12
1
0
0
0
0
0
0
8
8
0
0
8
8
8
10
0
0
0
0
0
0
0
8
0
0
0
0
0
32
32
0
4
29
29
4
0
0
0
0
9
32
0
4
0
0
0
8
20
0
8
8
8
0
24
24
0
2
2
2
0
0
24
8
0
0
0
0
0
25
0
0
24
24
0
0
1
2
0
0
56
56
8
0
4
8
0
0
20
20
0
17
5
5
0
9
8
16
16
16
0
0
8
0
0
0
0
0
0
0
0
0
0
8
8
1
4
4
0
0
0
16
16
16
2
0
0
0
0
2
2
8
8
0
0
0
0
0
16
8
16
8
0
16
8
0
17
0
16
16
0
0
8
2
16
0
0
0
8
0
16
1
1
16
16
0
8
22
0
8
62
1
0
0
8
24
16
8
8
0
0
8
0
0
8
0
0
16
16
16
0
0
8
8
8
22
22
22
22
0
0
0
8
0
0
32
32
2
25
25
0
0
0
0
0
0
5
0
0
0
1
16
18
16
0
0
0
0
8
8
8
4
0
0
0
0
0
8
1
1
0
8
8
8
0
0
2
0
4
4
4
16
8
4
4
2
0
0
0
16
0
0
8
8
0
16
0
0
16
8
0
1
36
0
0
0
0
8
0
0
0
0
2
17
17
0
0
0
24
1
1
8
16
24
16
8
0
0
0
3
8
8
0
2
0
0
0
32
0
8
8
8
8
40
40
1
16
0
0
2
0
0
8
8
8
8
8
4
4
4
4
1
1
0
0
16
0
0
32
0
8
0
8
8
8
8
8
16
8
0
1
22
0
0
2
8
0
0
5
0
0
0
0
2
0
24
24
24
0
25
0
17
17
17
17
0
8
8
0
0
0
8
8
4
0
16
8
8
8
4
4
0
16
4
4
16
4
0
8
0
8
8
8
0
0
0
0
0
0
0
8
10
10
2
0
0
0
0
0
16
0
0
16
42
42
2
20
8
0
20
20
8
0
0
16
16
16
16
16
0
0
0
0
8
0
0
0
4
17
17
0
16
8
16
0
16
16
6
16
16
13
13
8
8
21
8
0
0
0
0
8
4
0
0
16
24
0
16
0
8
0
8
4
0
20
16
12
4
4
4
0
32
4
4
16
0
8
8
16
8
40
8
8
0
0
0
0
10
0
0
0
1
8
0
0
0
0
0
16
16
16
8
0
0
2
0
0
8
0
0
0
0
0
0
0
0
8
8
0
0
1
0
0
0
8
8
8
8
0
0
8
16
0
0
0
0
0
8
0
16
16
0
0
24
16
0
16
8
0
8
0
0
0
4
4
8
0
4
4
17
0
16
0
57
8
16
16
16
0
8
12
2
0
16
16
16
0
0
0
0
8
8
0
0
0
8
8
8
8
0
0
0
0
0
8
4
4
0
0
8
16
0
0
0
0
16
0
0
0
0
0
16
16
4
8
8
8
4
4
4
0
0
0
2
0
8
16
16
4
4
4
0
16
16
2
2
2
18
8
8
8
8
8
8
8
0
8
8
0
0
0
0
0
0
8
8
8
8
0
8
17
16
16
0
0
0
0
10
10
10
10
10
16
16
16
0
0
0
8
8
8
12
0
0
0
16
16
16
8
8
8
8
0
0
8
0
0
16
0
0
2
8
8
9
9
8
1
1
1
1
2
0
8
24
0
0
0
8
0
8
8
0
0
0
8
0
0
0
0
0
0
0
0
0
8
16
16
0
36
0
16
16
0
8
2
0
0
0
8
8
8
0
0
2
2
2
2
2
0
0
0
32
0
24
0
8
0
8
0
8
8
8
8
0
0
16
16
16
18
8
8
8
24
8
4
4
9
1
0
0
0
0
0
16
0
0
0
0
0
0
8
8
0
0
0
0
40
40
40
40
0
17
0
12
8
4
4
4
4
3
3
0
0
0
4
0
0
8
8
8
0
0
1
1
2
2
9
8
8
16
0
25
25
16
16
0
8
0
0
1
4
16
8
4
16
0
18
24
48
0
2
2
4
4
2
2
2
32
0
0
1
0
0
0
2
0
0
0
0
8
0
8
8
8
8
8
8
8
0
2
0
8
0
16
0
1
1
16
0
8
18
8
0
2
2
4
0
8
7
16
16
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
16
32
0
8
16
16
0
17
17
17
17
17
0
0
0
0
16
16
8
8
8
8
8
0
0
1
1
1
4
2
28
8
8
0
0
0
8
16
16
16
8
0
0
0
0
8
0
8
17
1
16
16
0
8
12
8
8
8
8
0
2
8
16
0
0
0
8
4
4
0
0
0
0
8
0
1
1
0
0
0
0
0
0
0
16
0
0
0
16
0
0
0
16
8
0
2
16
2
2
0
0
0
8
0
0
20
2
0
0
0
8
0
0
0
6
20
4
4
8
8
0
0
0
0
0
0
0
0
16
16
2
8
0
0
0
0
0
0
8
8
8
0
0
0
0
0
20
20
0
0
4
8
8
8
0
0
0
0
0
0
8
18
18
18
18
16
16
0
0
0
0
0
0
0
0
0
0
0
8
4
4
0
0
0
32
0
0
0
4
4
4
4
0
0
8
0
0
0
0
20
16
20
8
8
32
4
4
0
0
8
16
0
0
8
0
4
4
2
8
0
0
8
0
0
8
18
18
18
18
2
2
2
0
6
0
8
2
2
3
0
16
8
1
0
32
0
16
16
16
8
8
4
0
0
8
8
8
8
16
0
4
8
20
16
0
0
0
0
0
8
32
4
0
0
8
2
16
0
0
4
4
0
8
0
0
8
8
8
8
2
2
41
0
8
14
2
8
16
0
0
8
0
8
16
16
16
0
8
8
1
1
0
16
8
0
0
1
0
0
8
8
16
16
16
16
16
16
32
0
0
8
0
0
8
8
8
0
16
0
0
8
8
0
3
0
0
0
0
0
0
0
0
0
0
0
24
0
8
1
1
4
8
8
8
8
8
8
0
0
0
0
2
0
0
0
1
1
4
4
4
4
4
4
8
8
8
0
0
0
4
0
0
0
0
2
0
2
8
8
1
1
0
0
8
8
0
0
0
16
16
16
0
0
0
0
0
0
16
16
8
0
4
0
8
8
8
8
8
8
8
8
8
0
0
0
0
2
0
8
0
4
4
0
16
16
8
8
8
0
0
8
8
0
0
12
8
8
8
8
8
16
0
12
8
8
8
8
8
8
8
16
0
0
4
8
8
8
8
0
4
4
0
0
0
1
0
0
0
8
8
0
0
0
0
0
0
16
16
0
0
8
8
8
0
0
0
0
4
0
0
8
16
1
16
0
0
0
8
8
2
2
8
8
8
0
0
4
4
8
16
16
0
0
16
16
16
0
0
0
0
0
0
0
0
40
40
40
0
0
0
0
0
0
1
1
1
1
0
16
16
2
24
8
8
8
8
0
16
24
24
24
0
0
0
8
8
33
0
0
0
9
1
8
2
0
0
1
0
16
16
16
0
4
0
4
4
8
8
2
53
8
8
0
8
8
0
8
8
4
4
0
0
0
0
29
0
0
0
0
0
0
23
0
0
8
0
0
8
8
8
0
0
8
8
0
0
0
4
0
8
9
9
8
8
0
2
2
0
0
0
0
2
2
2
40
0
16
16
0
0
0
0
18
0
4
0
8
0
16
8
12
0
0
16
0
0
0
0
6
6
1
0
0
0
0
0
50
50
2
8
8
0
16
0
0
0
0
12
0
8
0
8
0
0
0
0
0
0
0
16
16
24
16
16
16
16
16
16
16
16
16
16
16
0
0
0
16
16
16
16
8
24
8
7
0
8
8
8
0
0
0
0
4
0
0
16
4
0
0
0
2
26
16
16
0
8
0
0
0
8
8
8
0
0
8
10
0
0
0
0
16
32
8
8
0
0
16
0
0
0
0
0
0
0
0
0
8
8
9
0
20
8
0
0
8
0
0
8
0
0
0
8
16
0
0
4
4
0
0
0
8
8
8
2
2
0
4
32
5
8
8
8
8
8
0
0
0
8
0
16
16
16
16
8
17
17
16
16
1
1
1
8
8
0
16
0
0
8
0
0
0
1
0
0
0
0
8
0
8
8
0
16
16
16
16
0
0
16
0
0
1
0
0
0
16
8
4
16
8
6
0
0
2
8
0
1
8
0
1
1
0
0
0
32
8
8
8
4
8
8
16
16
16
16
0
0
8
24
0
8
8
8
16
16
16
8
8
1
1
8
8
0
8
0
8
0
0
8
0
0
0
8
4
0
0
0
24
12
0
0
8
16
18
12
0
0
0
0
0
0
16
16
8
1
0
8
8
0
0
0
0
0
0
0
8
0
0
8
0
0
0
0
0
0
0
6
0
8
0
0
0
0
8
0
0
8
8
0
26
0
45
45
45
45
12
12
0
0
0
0
0
0
0
0
0
0
8
0
4
0
16
0
0
4
8
8
8
2
0
0
1
0
8
0
12
0
0
2
17
0
0
0
0
8
8
32
32
32
0
0
0
4
4
8
8
0
0
0
0
0
0
0
0
4
0
2
0
2
2
2
8
0
0
0
16
16
0
16
8
40
0
0
4
4
4
4
8
4
16
24
40
40
0
0
0
16
0
0
0
0
0
0
4
8
0
20
4
0
2
0
0
8
0
20
20
20
0
0
0
0
0
8
0
8
0
4
0
2
2
2
0
0
8
8
8
24
0
10
0
0
0
0
0
0
0
0
0
0
17
16
2
8
0
8
8
8
8
8
6
6
8
1
4
4
8
17
1
1
1
1
0
0
0
0
0
0
0
0
0
0
9
0
16
4
0
0
0
8
8
0
0
8
0
0
0
0
0
0
0
48
1
0
0
0
0
0
0
8
8
8
1
0
8
0
0
8
0
4
4
4
0
28
28
24
24
8
8
8
8
8
0
0
0
0
0
0
8
8
0
0
2
2
8
8
8
8
8
8
0
0
4
2
8
16
16
16
0
0
0
0
0
0
0
0
0
1
0
2
0
16
16
16
0
4
4
16
0
24
24
2
2
0
0
0
0
8
4
8
0
0
16
16
16
0
0
16
16
0
8
16
16
4
20
20
0
8
2
8
8
8
0
9
0
0
0
16
8
8
8
24
24
24
0
16
16
8
8
8
8
8
8
8
8
8
8
8
0
2
1
0
4
9
9
0
0
1
1
0
0
12
4
0
0
0
0
40
40
0
0
0
0
0
0
0
0
24
16
16
17
16
0
0
2
18
16
0
40
4
0
16
0
0
0
0
8
8
1
1
0
8
0
8
8
8
8
0
1
0
0
0
8
0
0
0
20
0
0
0
17
17
0
0
0
16
8
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
8
8
8
8
0
0
0
0
8
0
8
16
12
2
0
8
0
0
8
0
0
0
1
0
0
16
0
0
0
0
0
16
8
8
1
1
0
0
8
2
8
0
4
4
4
0
4
0
24
24
0
0
0
0
16
0
0
0
0
0
6
6
22
0
0
0
0
0
8
8
0
0
0
8
8
1
1
1
1
0
3
16
16
1
8
0
0
8
8
0
8
8
8
32
2
2
0
8
8
0
0
0
0
0
0
0
0
16
0
0
24
8
8
8
0
16
8
8
8
0
0
0
0
8
8
0
16
23
8
8
8
8
8
0
8
0
0
0
8
0
0
0
0
0
4
4
8
8
8
8
24
0
4
20
8
0
0
0
0
8
8
8
8
8
8
8
8
8
8
0
8
2
2
32
60
0
16
16
16
8
8
8
0
0
16
16
16
16
16
8
0
8
2
0
8
0
0
0
0
0
0
0
32
0
2
2
0
8
0
8
8
2
4
4
8
8
0
16
8
8
4
0
0
0
0
0
0
0
0
0
0
0
0
0
16
4
1
0
0
0
0
0
0
0
0
24
0
8
8
8
8
8
8
8
8
8
8
8
16
57
0
8
25
25
0
8
12
0
32
32
0
1
1
1
0
8
8
0
0
1
1
0
0
24
0
0
4
4
0
12
0
0
0
0
0
24
0
0
28
0
4
4
16
0
4
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
14
8
0
0
0
8
0
0
20
20
0
0
0
0
0
0
0
0
0
0
8
0
20
16
16
16
0
16
0
0
0
28
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
12
8
4
0
16
2
24
0
8
8
12
0
0
0
0
0
0
8
8
8
12
12
16
0
8
0
0
0
0
0
1
0
0
0
1
8
8
16
16
0
0
0
22
0
0
0
0
16
0
1
1
8
8
8
8
8
0
0
0
0
0
0
0
0
8
0
0
0
0
4
1
0
8
0
0
0
16
8
0
0
0
0
0
0
0
0
16
16
18
0
16
1
0
3
8
8
8
0
0
0
24
0
16
17
17
0
0
24
0
0
4
17
0
0
0
16
24
16
16
16
16
10
8
8
8
8
8
0
1
1
0
0
0
16
2
2
8
12
8
8
8
8
16
8
8
0
26
0
0
0
0
0
2
0
8
8
8
8
11
0
0
26
16
16
16
16
0
0
0
10
0
1
16
0
1
0
5
16
16
0
2
2
22
22
0
0
0
0
16
0
8
8
8
8
0
0
0
0
0
0
8
0
25
0
8
0
0
0
16
48
16
0
16
0
0
0
0
8
8
8
0
0
0
4
5
5
4
8
0
0
1
1
1
0
4
26
0
0
8
0
0
0
0
8
20
20
20
20
20
2
1
16
0
0
16
4
8
8
0
0
0
8
8
1
16
2
0
1
1
0
0
0
0
8
8
8
0
0
0
8
0
16
0
41
41
0
8
0
0
2
2
32
8
8
8
16
0
0
0
0
4
0
0
8
8
0
8
16
0
4
4
16
0
16
16
0
0
0
0
0
16
0
8
0
0
0
0
0
16
0
0
8
0
0
0
0
24
0
0
0
0
0
0
0
8
8
0
2
0
24
16
16
0
8
8
1
8
0
0
0
24
0
16
20
4
0
0
8
16
0
0
0
8
0
8
8
8
8
16
0
0
0
17
0
8
8
8
8
8
0
16
0
0
0
0
0
0
0
16
4
1
8
8
0
0
0
8
0
0
8
8
18
0
2
8
0
16
1
1
8
8
0
0
2
0
1
1
1
1
4
4
8
8
0
0
4
4
0
0
0
0
0
0
1
1
8
0
0
0
0
20
0
16
16
16
8
8
0
0
16
28
0
12
4
0
32
0
0
16
41
41
8
16
24
0
0
12
4
4
1
1
1
1
1
49
4
0
0
24
2
32
8
8
0
0
0
0
16
2
0
2
8
0
0
0
2
16
0
16
8
8
16
48
23
7
7
2
2
2
0
8
8
8
4
1
20
0
2
10
2
10
24
0
16
8
8
0
4
8
16
0
16
8
8
16
16
16
12
0
0
0
0
0
0
0
0
2
2
4
4
18
8
4
4
4
8
8
0
0
0
0
16
0
33
33
0
8
8
8
0
0
0
0
0
8
8
0
0
0
0
8
0
0
16
32
32
32
0
0
0
0
0
0
0
0
0
0
0
0
4
16
1
1
1
2
2
16
16
20
8
0
4
16
0
8
4
4
16
0
0
0
0
0
0
0
0
16
16
16
16
8
4
0
0
0
4
4
4
4
8
10
8
0
32
32
0
0
16
8
8
0
16
0
8
24
0
0
4
4
0
16
8
29
8
0
0
0
8
0
0
8
0
0
0
0
0
0
0
8
8
8
8
24
0
22
22
0
16
0
0
0
8
0
0
2
2
8
0
0
0
0
4
4
4
0
16
6
0
0
0
0
0
2
0
0
25
4
8
8
8
4
4
0
8
0
0
0
0
0
0
0
8
8
0
0
0
24
0
20
20
2
2
2
8
1
16
0
0
1
0
1
0
0
0
0
8
0
0
0
0
2
10
4
0
0
2
2
0
0
24
8
8
4
4
0
0
0
16
16
0
0
16
2
0
0
0
2
16
24
0
0
0
0
8
0
0
0
2
0
4
6
6
0
0
0
0
16
8
0
4
1
24
8
0
0
8
8
12
8
8
0
2
2
40
40
40
8
8
44
0
0
0
0
8
16
8
0
18
0
16
16
0
1
1
23
23
8
8
0
0
8
9
0
0
8
8
8
16
0
8
24
0
20
0
2
0
0
0
0
8
8
0
24
0
56
16
32
8
0
8
8
0
0
0
0
0
0
0
0
0
24
0
0
4
4
16
0
0
0
0
8
18
1
1
0
0
0
0
0
0
16
0
0
0
16
8
0
0
0
4
4
4
17
32
0
4
33
33
0
8
8
16
0
0
0
0
0
16
4
4
0
8
0
16
0
10
0
0
6
8
8
16
0
20
0
18
2
16
0
8
32
0
8
26
26
26
26
26
0
0
0
19
19
0
0
16
16
16
4
4
4
0
0
0
0
12
0
4
0
6
0
0
0
16
8
1
4
8
8
0
8
0
4
0
8
0
32
8
8
8
0
0
0
0
9
20
16
2
2
8
4
0
0
0
4
1
1
1
1
0
0
24
0
0
0
8
0
0
0
0
0
0
0
0
9
8
4
8
2
2
1
1
0
0
1
8
8
8
9
9
2
2
8
8
8
32
0
0
8
8
8
0
0
0
16
16
16
16
8
0
1
8
0
8
8
8
0
0
0
0
8
16
8
8
8
0
0
0
0
0
17
16
0
8
8
8
8
8
8
8
0
0
0
0
0
0
0
0
4
0
0
53
24
8
8
8
16
22
22
1
1
0
0
0
16
16
16
18
16
16
16
16
16
0
0
1
1
12
8
32
0
0
0
8
0
0
0
4
16
0
0
2
0
0
0
0
0
18
0
8
8
8
1
16
24
24
1
1
1
1
1
1
26
0
8
0
0
8
8
0
0
8
8
2
8
0
0
0
0
0
0
8
1
1
1
1
0
0
0
0
0
8
16
0
4
0
16
0
3
1
16
0
0
0
0
0
0
0
0
8
8
8
8
0
0
0
8
8
8
8
0
0
8
0
0
8
8
0
0
18
0
0
4
24
16
8
4
16
8
16
16
0
0
0
8
0
0
24
24
24
18
16
0
1
0
0
0
33
8
8
8
8
0
0
20
20
8
0
8
4
4
4
4
2
6
2
2
2
0
0
8
8
8
0
3
1
16
16
16
16
0
0
0
12
0
0
16
16
16
50
0
12
12
12
16
8
0
32
32
0
8
0
20
16
0
0
0
0
0
0
0
0
0
8
21
21
21
0
0
0
0
0
4
0
24
24
24
0
0
4
4
0
8
8
1
0
0
24
0
0
0
0
8
0
16
0
0
0
1
4
8
8
0
1
1
1
12
0
0
16
20
0
1
0
25
0
8
16
16
16
0
24
24
4
4
4
0
0
16
8
8
0
16
0
0
0
0
16
12
12
12
16
0
0
0
16
16
16
0
8
32
16
16
0
0
0
16
18
0
8
4
0
0
0
8
8
1
16
0
0
0
0
0
48
2
0
2
1
12
12
12
8
0
24
0
8
8
0
20
20
0
8
2
0
0
0
0
28
28
0
0
4
0
8
8
8
8
8
1
12
12
0
0
0
0
2
0
1
8
8
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
2
8
0
1
0
0
8
0
8
20
0
24
0
4
10
4
20
0
0
0
16
16
0
1
1
0
8
8
8
0
17
1
17
0
6
0
0
8
8
0
0
0
22
0
0
24
0
0
0
0
0
0
8
16
0
0
0
0
8
8
0
0
0
0
0
0
16
0
0
8
0
0
32
0
1
1
1
0
0
2
4
4
0
1
0
0
0
0
0
0
8
8
8
0
4
0
0
0
8
4
16
8
8
0
0
0
8
8
1
1
0
8
0
0
0
0
48
40
40
40
40
0
8
0
8
8
0
0
0
0
8
16
0
32
32
16
0
0
8
8
0
8
4
6
14
14
0
16
8
8
0
0
0
8
0
0
8
8
0
0
0
0
8
2
8
1
0
0
0
8
8
8
16
0
0
0
0
2
2
24
4
58
0
8
16
16
16
16
8
0
0
2
2
16
8
2
5
5
8
0
0
0
8
8
8
0
0
0
8
0
0
1
24
0
4
24
0
2
0
0
0
0
0
0
8
2
0
16
0
8
0
0
2
2
22
22
6
0
0
0
0
0
58
58
2
2
0
8
8
0
0
0
8
0
0
8
8
16
8
8
12
16
16
16
20
0
0
16
8
0
0
8
16
16
0
4
0
0
0
0
8
8
8
8
8
0
6
8
8
0
4
4
4
8
8
1
1
0
43
0
0
8
0
0
0
0
0
0
0
0
0
16
16
8
4
8
0
0
0
0
4
4
0
0
8
26
8
0
17
0
4
8
8
0
0
16
16
0
0
12
16
1
4
4
0
1
0
0
1
16
0
0
4
0
0
0
0
32
4
4
16
0
0
2
0
0
8
8
8
8
0
0
8
4
4
8
0
0
0
0
32
4
8
8
0
0
0
16
16
0
1
1
1
4
24
24
0
0
0
0
20
8
0
20
0
24
16
4
0
0
4
0
0
8
0
0
0
0
0
8
1
0
0
0
8
8
8
8
0
0
0
0
16
0
0
0
16
0
16
0
0
0
0
0
0
2
6
6
6
0
0
0
0
16
14
0
0
8
6
16
16
0
0
0
0
8
8
1
1
8
3
0
0
0
0
8
0
1
17
0
0
0
0
8
0
16
0
0
0
0
0
33
58
0
2
16
0
0
16
0
0
0
0
12
12
12
10
4
0
0
0
0
0
9
8
8
0
8
8
8
8
8
8
8
8
16
13
8
0
0
8
16
24
8
0
8
8
8
0
0
8
8
8
0
8
3
3
1
0
0
8
0
32
4
10
10
10
10
0
0
16
0
0
0
0
0
0
0
8
8
16
16
8
8
0
0
0
0
0
0
1
0
0
0
0
0
0
4
0
8
0
0
0
0
0
0
0
0
0
8
0
0
0
16
4
1
0
0
16
0
24
0
0
8
8
0
0
0
8
0
0
0
1
1
0
0
0
0
0
0
32
32
32
32
8
3
3
3
8
8
16
8
8
0
4
1
0
0
2
2
0
2
2
12
12
0
16
16
8
0
0
16
16
24
8
1
0
0
36
0
16
0
18
16
4
4
8
0
0
0
0
8
0
0
31
12
12
0
0
0
8
0
28
4
8
8
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
1
17
1
1
0
0
1
16
18
0
2
4
8
0
0
0
0
0
0
10
0
0
16
0
24
0
8
4
8
0
4
28
0
0
0
0
0
0
0
1
1
1
1
1
0
0
0
0
8
8
0
0
16
16
16
0
25
0
24
0
9
2
0
0
16
4
0
1
1
0
1
1
0
0
0
0
8
0
0
0
0
0
0
0
0
18
18
6
4
4
4
4
0
0
16
16
16
56
16
16
0
16
4
4
1
0
2
2
2
1
24
9
9
8
8
8
0
0
41
41
0
4
4
0
0
0
0
0
0
8
8
8
8
8
0
0
0
16
0
0
32
32
0
0
0
0
0
0
0
0
0
0
0
0
0
0
25
16
16
0
26
8
8
0
0
9
0
12
0
0
0
0
0
0
0
16
8
8
0
4
4
16
2
8
0
0
8
8
0
0
0
0
0
0
0
0
0
32
20
2
0
8
8
16
0
0
8
8
8
0
0
17
17
17
17
16
4
16
9
0
0
4
4
0
0
0
0
8
8
8
36
36
8
8
16
0
0
8
8
16
44
44
0
0
2
2
16
0
0
0
0
8
8
0
4
4
1
0
8
3
16
0
0
0
0
0
16
16
0
0
0
0
12
16
24
24
8
8
0
0
6
6
0
0
0
0
0
0
0
0
0
0
1
1
0
18
35
0
0
0
8
8
8
2
0
0
4
16
0
1
12
16
0
0
0
24
8
8
8
0
0
0
0
10
0
0
4
2
0
0
0
0
6
6
6
41
1
8
0
0
0
0
17
0
0
0
1
1
0
0
8
8
16
0
16
0
0
8
1
0
8
0
2
2
2
8
2
0
0
1
24
24
0
12
0
1
0
8
0
0
16
16
0
0
0
8
25
8
8
16
16
17
12
0
0
1
0
0
2
2
0
0
0
1
1
0
0
1
8
8
0
0
0
0
0
0
0
0
0
0
16
49
0
0
0
4
16
0
21
21
16
8
8
24
24
4
0
0
0
0
0
2
0
0
0
0
0
8
8
8
8
8
8
8
0
8
8
8
8
8
0
0
16
16
0
2
1
9
16
0
0
0
0
16
0
0
52
4
8
0
16
16
8
0
16
0
0
0
16
0
0
8
8
0
0
0
11
0
0
0
0
0
16
0
0
0
16
16
0
0
0
0
0
0
16
0
0
1
4
8
8
8
8
8
0
4
16
20
12
0
24
8
0
0
0
0
0
0
0
0
0
0
8
44
44
8
8
8
16
16
59
1
8
20
20
8
0
0
0
1
1
0
0
8
0
0
0
0
32
32
16
8
8
8
8
0
0
0
2
8
8
8
2
2
0
8
8
8
0
2
0
0
0
0
0
0
16
16
0
0
4
4
4
4
0
0
0
8
10
0
1
0
0
0
16
28
0
0
0
0
0
0
0
0
0
8
2
0
2
0
2
0
8
8
6
14
0
0
16
8
8
0
0
0
0
18
6
1
0
2
17
4
4
8
0
0
0
0
8
8
0
8
0
8
8
12
0
0
0
0
0
0
16
0
8
8
8
8
0
0
5
22
20
0
0
0
0
2
2
8
16
0
0
0
8
8
22
6
6
0
0
0
0
0
16
16
0
0
0
0
0
0
0
1
1
0
0
1
0
0
0
0
16
16
0
16
16
0
0
24
12
32
1
1
1
0
16
0
0
0
24
4
0
0
0
41
16
0
0
16
0
0
0
0
0
0
0
0
16
0
0
16
1
1
17
58
0
0
0
0
0
16
16
16
16
0
0
0
0
0
8
16
16
0
0
0
0
0
0
6
0
0
1
24
2
2
8
0
0
0
0
4
24
0
30
1
0
0
16
16
16
4
6
0
0
0
0
0
0
0
0
0
16
16
0
8
8
0
0
12
12
8
8
8
8
8
0
16
16
25
25
16
16
16
4
8
8
0
0
0
0
16
16
0
0
16
0
0
4
20
4
16
0
0
0
0
16
8
8
17
6
6
6
0
0
0
1
1
8
0
0
0
16
16
16
0
0
8
18
0
8
8
0
8
8
0
0
0
0
0
0
0
0
0
0
0
1
2
0
0
8
0
20
4
0
8
0
0
24
16
0
26
0
0
16
8
16
0
0
0
0
0
0
0
16
16
16
8
0
0
0
0
0
0
0
0
0
1
8
0
8
16
0
0
0
0
16
0
0
0
0
16
16
2
8
0
0
24
0
0
2
0
8
24
4
4
4
4
4
12
12
12
12
12
16
16
0
0
2
8
32
0
0
16
0
0
0
1
9
0
0
8
0
0
0
24
0
16
0
0
0
0
0
0
16
0
8
8
8
8
0
0
8
2
2
2
1
0
0
22
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
16
8
8
0
0
8
0
0
8
0
0
8
0
0
8
0
16
0
0
8
8
8
0
0
0
0
0
0
0
0
0
24
0
0
0
0
0
8
0
0
0
0
0
24
0
0
8
0
0
20
20
8
8
24
1
1
0
0
26
0
32
2
2
2
8
24
0
4
0
0
20
20
0
0
0
2
2
4
0
4
0
8
8
0
0
0
0
0
0
0
16
16
16
0
0
16
0
0
0
20
20
0
0
0
4
0
0
0
0
0
8
30
0
0
0
0
0
0
0
16
16
0
0
24
24
8
8
16
16
0
0
0
16
16
0
24
24
24
8
0
0
4
16
4
0
0
0
8
8
8
0
0
16
16
16
0
0
0
32
0
0
1
0
0
0
16
0
0
0
0
0
0
0
18
0
8
16
16
0
8
24
0
0
0
0
0
0
0
0
4
4
0
0
0
0
0
0
24
0
0
8
16
16
16
16
8
8
0
0
2
0
0
0
8
8
1
16
0
0
0
0
12
0
4
0
20
8
44
8
4
4
0
0
0
0
0
0
0
8
8
0
16
8
8
8
8
8
8
0
0
0
0
0
0
0
2
16
16
8
16
0
2
2
0
0
0
12
12
0
0
0
0
0
4
0
2
0
12
12
9
10
0
0
0
8
0
12
12
12
12
0
0
12
12
0
0
0
0
32
32
8
0
0
1
1
1
0
0
0
0
0
0
0
8
4
0
0
0
1
1
1
1
16
16
4
4
0
0
0
4
16
0
0
28
0
8
0
25
8
8
0
2
2
0
8
4
0
0
0
0
0
0
16
0
30
0
0
8
8
8
8
4
4
4
0
0
8
8
8
0
0
0
16
16
8
8
8
8
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
25
25
0
0
0
0
0
0
0
0
0
0
16
0
8
0
0
0
8
8
0
8
57
0
0
0
0
28
16
8
0
32
16
8
8
0
0
0
0
0
1
1
1
0
0
1
1
0
8
8
8
22
0
0
0
0
0
8
0
0
8
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
16
0
16
0
8
0
0
32
0
0
0
32
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
16
16
0
16
27
0
0
8
56
12
8
0
18
0
0
0
0
8
14
14
14
2
2
4
4
4
16
0
18
0
0
0
0
16
16
0
0
8
16
0
0
4
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
4
4
0
0
0
0
0
4
0
0
0
8
0
0
18
0
0
0
0
0
0
0
0
0
34
0
0
8
0
8
24
0
0
0
1
1
1
0
0
0
0
0
0
0
16
16
16
8
24
24
0
0
0
8
0
0
0
0
8
0
8
0
16
0
3
3
3
0
8
0
0
0
4
0
0
0
0
0
12
0
0
0
0
16
16
16
16
8
32
20
16
0
0
0
0
0
12
0
1
8
0
0
8
0
0
1
0
0
0
1
1
1
1
8
4
4
0
8
0
0
1
1
0
0
0
18
0
40
32
1
9
9
0
2
2
0
8
16
16
16
0
0
0
35
4
8
8
8
0
0
0
0
8
0
16
0
8
0
0
0
0
0
8
4
4
0
16
0
0
8
8
0
0
0
0
8
44
16
0
0
0
0
0
0
0
6
0
16
16
0
0
8
8
17
3
4
0
0
0
0
4
0
0
16
0
0
0
2
0
0
0
0
8
30
0
0
2
2
0
0
0
0
0
0
8
0
0
0
0
0
0
4
0
0
0
8
8
0
0
4
0
0
0
0
16
16
0
0
0
0
0
0
1
0
16
26
0
0
8
0
0
0
0
16
8
41
41
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
2
2
8
10
8
0
0
8
17
0
0
0
8
0
8
0
0
4
0
0
0
20
24
0
0
0
0
0
16
16
16
24
24
24
24
24
8
8
8
8
8
0
8
0
1
0
0
2
2
8
8
0
24
0
0
8
8
0
0
0
1
16
8
8
16
8
8
8
8
8
4
6
6
0
0
0
0
0
8
8
0
0
4
4
0
0
0
0
0
0
0
19
0
0
0
0
0
0
8
0
0
0
8
1
0
16
16
8
8
8
0
0
8
8
2
16
0
0
8
0
0
8
0
8
8
0
0
0
2
0
0
2
0
0
0
0
0
8
8
8
0
8
16
16
9
1
1
8
16
0
0
0
0
2
2
16
6
16
8
1
1
1
1
0
0
8
8
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
16
16
0
0
8
8
8
0
0
8
8
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
10
12
0
0
0
0
0
0
8
0
16
16
16
16
0
2
0
0
0
8
8
1
16
0
0
0
16
0
16
1
0
12
0
1
1
8
8
0
16
4
4
8
0
24
24
2
2
0
0
24
24
36
1
0
0
0
0
0
23
0
0
0
0
0
16
0
0
0
0
0
0
8
8
8
8
8
16
0
0
0
0
0
20
8
0
1
4
0
0
0
0
0
0
2
2
16
16
0
2
2
0
0
0
0
0
0
0
0
0
8
0
8
1
1
1
0
0
0
0
0
16
1
1
1
8
0
0
0
2
0
8
8
8
0
0
8
8
0
0
0
0
16
1
1
0
0
0
0
8
0
0
0
4
4
2
0
8
8
16
0
1
0
0
16
0
24
0
0
0
0
8
8
8
8
8
0
32
0
0
4
0
0
0
0
0
24
0
0
0
8
16
16
0
0
18
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
4
11
0
0
0
0
0
24
0
16
2
11
1
0
16
0
0
8
16
8
8
8
8
8
0
0
0
0
0
4
4
4
0
0
0
12
0
0
1
1
0
0
0
8
0
0
8
0
0
0
0
0
16
0
0
0
0
0
0
8
4
4
8
0
0
0
0
0
0
0
8
8
8
8
8
8
8
18
0
0
8
8
18
18
18
0
0
0
3
16
16
8
8
0
0
0
0
1
0
0
16
0
0
0
0
18
18
0
0
8
8
0
0
0
8
8
8
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
8
0
18
18
0
2
0
0
0
0
4
0
0
4
16
8
0
0
0
0
0
0
16
20
1
1
1
2
16
0
0
0
0
0
0
0
4
0
0
8
8
8
8
8
8
0
16
16
0
0
16
0
16
0
0
16
16
4
0
16
0
0
16
0
0
0
0
0
16
8
8
8
8
8
0
0
0
0
0
0
0
8
0
0
0
0
0
2
20
8
0
0
0
32
8
8
0
0
1
16
0
6
0
0
8
0
0
0
8
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
8
8
0
20
48
16
0
0
0
0
0
16
0
0
24
4
8
8
4
32
0
20
20
8
8
0
0
0
16
0
0
1
8
8
8
0
0
0
0
0
2
2
0
0
16
16
0
24
24
0
8
8
0
1
1
4
0
0
0
0
2
0
0
0
8
8
8
0
0
0
4
0
0
0
0
0
8
8
0
0
9
9
0
0
0
8
0
0
0
0
0
0
0
2
0
0
32
32
0
0
0
8
0
0
4
0
36
8
8
8
8
8
0
0
8
0
0
0
0
0
28
8
0
16
16
16
16
16
16
16
8
8
16
16
0
0
0
0
0
24
0
8
8
2
1
0
0
0
0
0
0
0
33
33
8
0
16
4
4
4
10
0
20
20
20
20
2
16
25
26
0
8
8
0
8
0
24
16
0
0
4
4
0
8
0
0
8
8
0
0
0
0
0
8
0
8
0
9
32
16
16
16
0
0
0
0
0
0
0
0
16
4
4
4
16
16
8
16
0
8
0
0
0
32
0
0
1
0
0
0
0
24
24
2
0
0
4
8
8
0
4
0
0
0
0
0
8
16
2
0
4
4
4
24
0
8
16
0
0
0
2
0
0
32
16
0
0
16
2
0
16
12
0
1
1
0
0
0
8
16
1
0
2
2
0
20
0
0
1
35
20
0
0
0
0
0
0
0
0
0
20
0
40
8
2
2
0
0
8
12
0
0
0
8
0
0
0
16
4
0
0
8
8
0
16
1
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
8
8
20
20
20
2
0
0
0
0
24
0
0
1
1
16
16
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
1
0
4
4
0
0
0
6
6
0
0
6
6
0
0
0
0
16
8
0
4
25
0
18
4
4
4
4
4
0
8
9
9
16
9
0
0
0
0
0
0
0
8
8
0
0
4
0
0
16
16
0
0
0
0
33
33
0
0
0
0
0
2
1
0
0
0
16
16
3
0
0
24
24
4
4
16
0
8
0
0
1
1
0
0
0
0
0
4
0
8
8
0
0
16
20
8
4
0
0
8
8
0
8
24
0
8
0
8
0
0
0
0
28
0
0
0
2
0
8
8
8
0
16
16
4
4
50
0
0
0
0
0
0
0
16
0
4
2
0
0
0
32
32
32
0
0
8
1
16
0
0
0
0
0
0
8
16
16
10
1
0
1
4
4
32
0
0
0
0
0
0
4
4
4
0
24
16
0
0
25
25
0
0
0
0
1
1
0
2
2
0
0
0
0
0
0
0
0
0
8
8
8
4
0
0
0
0
8
0
0
0
0
50
2
0
0
16
16
8
32
0
1
16
16
8
0
0
8
8
0
0
0
0
0
0
0
0
8
0
0
8
8
0
0
0
8
8
0
8
8
8
8
8
0
0
0
0
20
0
0
0
0
5
5
8
8
8
8
6
8
0
0
0
0
0
0
8
0
16
16
0
0
0
0
0
0
0
0
1
1
1
4
4
0
4
4
4
0
0
0
0
2
2
2
8
8
0
0
4
32
24
24
0
1
4
0
0
0
0
16
0
0
0
0
24
24
16
0
0
8
8
8
0
0
0
0
0
0
0
0
0
30
24
4
0
41
24
0
0
0
0
8
1
0
0
0
8
16
4
0
8
0
0
0
0
8
0
24
2
2
2
2
0
0
0
0
16
0
8
1
16
16
4
4
16
16
0
0
16
16
16
20
20
2
2
2
2
8
0
0
0
0
0
0
8
8
0
4
0
16
0
0
0
0
16
0
2
8
16
16
0
8
0
0
0
4
8
8
8
0
12
12
8
0
16
0
1
0
0
8
0
0
2
0
0
14
0
12
16
16
8
0
0
16
0
0
0
0
0
0
0
0
24
0
0
0
4
24
0
4
0
0
0
0
0
0
0
0
4
0
0
0
1
8
8
8
8
8
24
24
0
0
4
0
4
0
2
0
0
0
0
0
0
0
0
32
48
31
25
0
0
0
4
0
0
8
0
0
0
0
16
16
0
0
0
0
0
0
0
0
8
1
1
0
0
0
0
0
36
0
0
1
1
1
0
16
16
8
9
16
8
9
21
0
0
0
8
0
0
0
0
0
0
0
0
0
24
0
0
4
4
4
0
4
4
0
8
8
18
18
0
0
4
4
8
8
8
8
8
0
0
0
16
16
0
0
0
0
0
0
0
4
0
0
0
8
8
8
0
8
0
18
18
0
0
33
0
0
0
0
0
0
0
0
0
0
16
16
8
12
0
0
0
0
4
4
0
16
0
0
4
4
0
0
0
8
0
0
0
0
16
0
0
16
16
12
0
0
0
0
24
32
52
0
8
0
0
0
16
0
0
4
0
0
0
0
0
0
0
0
0
4
0
28
28
0
0
0
16
16
16
16
0
0
0
0
0
1
8
8
0
0
0
16
26
0
17
4
0
0
2
0
8
8
16
16
0
8
8
2
4
4
2
9
9
4
16
32
8
16
0
0
0
4
4
0
0
0
0
0
8
32
32
32
2
0
8
8
8
2
24
24
0
0
0
2
2
0
16
8
8
12
12
12
0
0
0
0
32
0
0
1
8
0
0
4
4
16
16
16
0
20
0
0
8
8
0
0
0
0
0
0
8
2
0
0
0
0
4
4
0
0
0
4
0
0
0
1
0
0
0
0
16
8
0
27
0
0
0
0
8
8
16
0
0
16
32
0
0
0
0
0
8
8
16
0
0
2
0
0
0
0
8
16
0
0
16
0
0
0
0
0
0
0
0
48
0
0
8
16
16
8
8
4
0
0
0
32
9
32
1
1
8
0
0
0
0
0
0
0
0
0
0
16
8
8
8
8
0
0
16
0
0
0
0
0
16
0
0
8
8
0
16
16
16
0
16
0
0
0
0
0
0
0
0
0
8
0
0
0
5
5
5
0
0
0
0
0
0
0
32
0
4
4
0
0
16
4
0
0
16
0
0
0
6
0
0
0
0
0
0
32
0
18
0
4
8
8
0
0
4
4
4
0
0
16
0
8
8
0
0
8
0
8
8
0
16
0
0
16
8
0
0
0
16
0
0
0
0
0
0
0
0
0
8
8
8
0
16
0
8
0
0
0
8
16
0
0
0
2
0
0
0
8
8
0
0
0
0
0
1
0
1
0
16
0
0
0
0
0
8
0
0
0
0
4
4
4
4
4
0
0
0
0
8
8
8
2
9
0
0
0
0
0
12
0
0
8
8
8
0
0
0
2
2
8
8
8
0
0
0
0
0
0
2
0
1
0
16
48
32
0
0
0
2
32
0
0
8
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
16
0
0
16
16
8
8
8
8
0
0
4
0
0
0
8
8
0
0
0
0
0
0
0
0
9
1
6
6
8
0
24
4
4
8
1
0
0
8
0
8
0
0
8
0
0
0
8
0
0
0
0
4
0
1
4
4
4
4
4
0
0
16
0
0
8
0
8
0
32
32
32
0
0
0
20
20
8
8
0
0
0
0
8
8
0
8
0
11
0
16
16
0
0
0
8
8
0
0
0
0
0
0
0
0
4
0
0
1
1
0
0
0
0
0
0
0
8
2
2
2
2
0
16
0
0
8
0
0
0
8
0
8
4
1
1
0
0
0
0
24
0
48
0
0
8
2
2
24
0
1
1
0
0
0
8
8
0
18
18
0
0
0
0
2
2
0
0
0
0
0
0
8
8
0
4
0
0
0
0
0
0
8
8
0
0
34
0
4
4
0
0
0
16
0
0
8
8
8
0
0
0
0
16
24
8
8
8
8
0
8
0
0
0
17
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
4
0
0
0
0
0
4
0
0
0
0
8
8
8
0
0
0
0
0
8
1
0
0
4
1
0
0
0
0
0
20
20
0
0
8
0
0
8
8
8
8
8
8
8
0
0
0
0
0
16
1
1
16
0
0
8
8
8
8
8
2
16
0
0
0
0
0
0
0
1
1
1
8
8
0
0
0
8
0
0
2
8
8
8
0
0
0
4
0
16
1
1
3
13
13
13
0
6
0
0
0
0
0
0
0
0
8
8
1
2
2
0
0
0
0
16
16
0
8
8
0
0
32
32
2
0
8
8
0
2
8
8
2
8
0
0
0
0
0
8
0
4
4
4
0
24
0
18
2
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
2
2
0
0
16
0
0
0
0
2
17
0
2
0
0
0
9
9
24
0
4
0
0
4
4
4
0
0
0
0
0
0
0
0
12
0
8
8
8
8
0
0
0
0
0
0
0
0
8
21
49
0
0
8
16
16
0
0
2
0
0
16
0
0
16
6
0
0
0
0
4
0
0
8
0
0
8
16
0
0
0
0
0
0
0
0
0
0
0
0
0
18
16
1
0
8
8
0
0
8
0
0
0
0
0
0
20
16
16
0
1
8
0
8
0
0
0
16
0
0
4
0
0
0
0
0
1
0
0
1
8
8
24
0
24
2
0
0
0
0
0
24
24
24
24
0
0
0
0
0
0
0
0
2
16
16
16
8
2
2
8
0
0
0
0
32
32
9
0
0
8
0
0
0
0
0
0
8
0
0
17
0
0
4
16
16
16
16
16
16
1
1
1
8
8
2
1
1
1
0
0
24
0
0
25
0
0
8
8
0
0
8
8
8
8
1
17
0
0
0
0
0
0
0
8
8
4
4
0
0
0
26
26
24
2
6
0
16
18
18
16
1
0
8
1
16
2
2
1
0
0
16
0
0
12
4
8
8
0
32
0
1
0
0
16
0
0
0
0
0
0
0
0
0
0
0
4
0
0
16
0
0
0
24
24
0
0
0
4
0
4
0
0
30
9
9
9
0
0
0
0
0
0
0
0
0
8
8
6
0
0
0
0
0
0
2
0
9
8
0
0
0
16
16
17
8
8
0
0
2
8
8
0
0
0
24
0
0
0
1
1
0
0
0
0
0
8
8
0
8
0
2
0
0
0
0
17
0
0
0
16
0
2
0
0
0
8
20
0
0
2
1
0
0
0
16
0
18
18
32
32
0
0
28
0
0
16
16
0
0
8
0
16
0
0
0
0
0
0
2
0
0
8
8
0
0
8
0
0
0
0
16
32
16
16
0
24
24
24
24
0
0
0
4
44
44
44
8
8
12
4
4
24
0
0
0
0
8
8
8
0
0
0
0
0
2
0
0
0
8
8
0
0
0
8
8
8
8
0
16
4
0
8
8
0
24
24
0
0
0
4
0
0
8
0
0
16
0
16
0
0
0
0
0
1
0
0
0
0
0
0
8
0
16
16
16
0
0
4
0
0
0
0
1
1
4
0
0
8
8
0
0
0
0
4
0
0
20
0
0
0
0
28
24
0
0
0
0
24
24
24
0
0
0
16
34
8
8
12
16
2
0
0
8
0
8
17
17
0
0
16
0
0
0
0
0
0
0
0
0
0
8
8
0
24
8
0
0
0
0
29
8
0
0
2
2
2
24
17
0
0
4
16
16
0
0
0
0
8
8
0
8
9
0
0
24
6
0
0
0
0
2
2
24
0
0
10
10
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
0
0
0
0
0
0
12
12
12
8
25
8
4
8
0
0
0
32
8
0
0
3
3
3
0
0
0
0
8
13
16
16
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
16
0
0
0
0
0
0
16
0
0
0
16
0
2
2
2
0
0
1
0
1
1
1
32
16
0
9
9
0
0
0
0
32
0
58
8
0
4
4
0
0
0
0
8
8
8
8
8
8
0
0
1
1
14
14
14
14
8
0
0
0
0
0
0
0
0
16
0
16
16
4
4
24
0
0
0
16
0
0
0
0
1
1
16
16
16
0
4
0
0
0
0
20
0
0
0
0
0
8
0
16
48
0
0
32
0
0
1
0
8
0
4
2
16
0
0
0
0
4
0
0
19
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
21
0
2
2
8
12
16
8
8
0
16
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
4
0
8
0
0
0
0
0
0
0
1
0
18
18
16
0
2
2
2
1
0
0
16
0
1
0
0
16
16
0
0
0
16
16
8
8
8
8
8
1
0
0
0
0
0
4
20
16
8
8
8
0
0
0
0
0
0
0
0
4
4
8
8
0
0
16
8
8
0
0
48
0
0
0
0
0
0
0
4
4
4
0
19
20
8
8
52
52
16
0
0
0
0
0
4
4
4
0
0
0
0
8
8
6
6
6
6
16
16
0
0
0
2
0
0
0
8
12
8
8
8
5
16
16
16
16
16
16
8
8
8
4
0
4
2
2
2
2
0
8
8
16
0
0
0
0
0
0
5
8
0
0
0
4
0
0
0
8
0
0
0
0
0
8
8
0
0
0
0
8
8
8
8
0
1
0
0
0
0
0
0
0
8
2
2
8
8
8
8
16
0
0
0
0
8
0
0
16
4
0
0
0
8
8
0
0
12
8
16
16
16
0
0
8
8
8
0
8
1
16
8
26
16
0
16
8
8
0
0
0
2
2
12
16
16
0
16
16
1
0
8
16
16
4
0
0
0
0
0
0
40
0
8
0
0
0
16
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
24
2
0
0
0
16
0
0
4
4
4
4
0
16
16
53
16
8
8
8
0
0
60
0
0
0
0
0
0
0
0
16
24
24
4
0
1
0
0
0
0
8
0
0
0
0
0
0
8
1
0
0
0
0
0
0
8
8
0
0
2
2
2
0
0
0
28
0
18
0
16
8
40
0
16
0
17
0
0
0
0
25
8
2
2
0
0
8
8
8
8
0
16
16
0
0
0
2
2
24
8
0
0
0
0
0
0
1
1
5
2
16
16
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
2
2
2
2
0
0
0
0
0
0
0
16
0
0
0
24
8
8
8
24
0
0
8
0
8
8
0
16
8
8
0
8
2
16
0
0
0
0
0
8
0
0
0
0
0
12
4
0
16
0
16
24
8
4
4
4
0
16
16
8
16
4
4
0
0
0
0
0
0
0
49
0
8
8
8
8
8
8
8
16
16
16
16
16
16
8
8
0
0
0
0
0
0
0
8
0
0
8
8
0
8
0
0
0
0
0
0
0
0
0
0
0
4
0
2
0
0
1
0
0
32
0
8
0
8
0
8
16
16
16
20
0
0
8
8
0
0
0
0
2
8
0
0
0
0
24
0
0
0
0
0
0
0
16
0
4
8
8
8
18
18
18
16
16
1
17
17
17
0
16
3
0
0
16
2
2
1
16
23
0
8
8
8
4
0
0
1
0
0
8
8
0
1
17
17
14
14
0
1
1
0
0
0
8
0
0
0
0
0
8
0
28
0
0
20
0
0
8
0
0
0
0
0
0
0
0
8
8
0
0
8
0
8
8
24
0
19
0
8
0
0
0
0
0
8
0
0
56
56
4
0
0
0
2
0
0
0
0
0
4
4
4
0
0
0
8
8
13
0
0
0
0
0
0
1
16
16
24
24
24
0
0
2
0
0
4
4
0
0
1
8
0
8
16
16
8
8
0
0
4
4
0
0
0
0
1
0
0
0
0
0
0
0
16
1
0
22
0
0
4
8
0
4
4
0
0
0
0
0
0
0
0
8
16
0
0
0
0
0
0
0
18
18
18
0
0
8
2
4
4
0
0
0
0
0
16
0
8
8
0
0
8
8
0
18
16
0
4
4
4
21
2
0
0
32
32
0
0
0
0
0
0
0
8
8
0
0
16
0
16
0
0
16
16
16
16
0
16
0
32
0
16
0
0
0
0
0
0
0
8
0
0
0
0
4
0
8
8
0
0
0
0
0
0
0
8
0
0
0
16
8
8
25
25
25
25
25
16
16
24
2
0
8
8
8
0
0
0
0
0
0
5
5
0
0
0
0
0
0
0
0
0
0
24
24
24
8
8
24
8
0
0
0
0
0
24
8
8
8
8
4
16
16
16
8
2
28
4
0
0
0
0
16
0
0
0
0
0
0
20
4
25
25
0
4
4
16
16
0
0
0
0
0
0
0
0
1
0
0
0
0
0
2
8
8
24
0
0
0
0
0
0
0
0
0
0
24
0
0
0
0
4
4
0
57
0
0
0
18
20
0
6
4
6
6
6
21
21
0
0
0
0
0
0
0
0
8
8
4
0
0
0
0
13
0
0
0
0
16
8
48
48
0
0
0
0
0
4
0
4
1
1
0
0
0
0
0
0
0
0
18
18
0
16
16
16
0
0
0
16
16
0
0
0
4
0
4
1
8
8
0
0
0
0
0
0
0
4
0
8
0
16
24
0
16
16
8
0
8
0
0
8
0
0
0
0
0
0
0
16
8
0
0
2
20
20
20
4
4
4
8
8
8
8
8
16
8
0
0
0
0
0
0
0
0
0
4
16
0
0
0
16
16
16
16
16
16
0
0
0
0
0
0
0
0
0
8
1
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
1
0
0
0
0
0
8
0
0
0
1
0
0
0
0
0
7
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
16
16
0
0
8
0
0
8
4
4
0
8
8
0
16
16
4
16
16
0
16
1
0
0
0
0
0
16
2
0
8
0
8
0
24
24
18
24
1
1
1
1
16
16
0
4
0
4
0
0
0
16
16
2
0
0
0
8
0
0
8
16
0
0
0
16
16
8
8
8
8
5
5
0
0
0
0
20
8
8
4
4
8
2
2
16
8
0
0
8
0
0
0
4
4
4
0
6
0
16
0
0
0
16
16
0
0
8
8
8
8
8
8
8
0
0
0
0
0
0
2
0
0
4
4
16
16
16
16
0
0
14
8
8
0
0
53
53
0
0
8
0
8
16
0
16
0
0
8
0
0
2
2
2
16
2
0
4
1
16
0
0
8
8
1
1
16
0
0
0
0
0
8
16
0
0
16
0
8
8
8
8
0
1
1
16
0
0
0
16
3
3
0
0
16
16
8
12
0
9
0
0
20
20
0
0
0
0
0
0
4
0
0
16
0
0
0
20
8
16
0
16
16
2
0
0
0
6
0
0
0
8
8
4
0
0
4
4
4
16
20
0
0
8
8
8
8
8
8
8
8
0
4
8
0
0
0
0
0
8
8
13
8
14
0
0
0
0
8
8
1
0
0
8
8
0
0
0
0
8
8
8
8
0
1
1
0
0
0
0
0
16
0
1
1
0
0
16
8
8
8
8
1
1
0
0
9
0
0
0
0
0
8
0
0
24
4
0
0
25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
4
4
0
0
20
20
20
0
0
8
8
0
0
1
0
20
0
0
0
8
20
16
0
0
0
0
0
4
4
4
0
17
1
1
28
28
0
0
0
0
0
16
16
0
0
0
8
8
24
32
1
0
0
0
8
0
0
2
17
17
0
8
16
0
0
0
0
16
16
8
0
8
0
13
0
32
0
0
0
1
1
16
0
0
8
24
8
0
0
0
8
0
0
0
0
0
4
4
9
8
0
0
0
0
1
1
1
1
1
1
20
0
0
0
0
0
0
0
4
0
0
0
2
1
20
16
0
0
0
0
16
16
8
0
4
0
0
0
32
32
16
0
8
8
8
8
0
0
0
8
8
0
0
0
4
4
4
0
0
8
8
0
16
18
18
0
0
2
0
0
8
8
0
0
0
2
2
1
0
8
0
0
0
8
24
8
2
2
2
0
0
2
8
8
0
4
20
8
0
8
8
8
8
8
8
8
16
1
4
0
0
0
8
1
1
4
0
0
0
0
4
0
4
8
0
0
8
0
0
2
2
2
2
0
0
0
0
0
6
0
0
0
0
4
4
4
16
0
0
0
0
8
8
0
0
0
0
0
2
4
17
0
0
4
0
0
0
4
0
0
0
8
8
0
0
1
4
8
0
0
8
16
0
0
0
16
0
0
16
0
0
8
8
16
4
0
0
0
0
0
0
0
28
28
28
0
0
16
0
2
2
32
0
16
0
0
0
0
0
0
4
0
0
4
0
0
0
0
0
0
0
8
8
8
0
24
24
0
0
0
0
0
0
0
0
0
24
16
18
18
18
0
0
0
0
0
0
16
8
8
8
8
8
8
8
4
8
8
24
16
4
4
8
1
1
17
0
16
5
0
20
0
0
0
0
0
0
0
0
0
0
0
1
8
8
8
0
16
16
0
0
0
0
8
0
8
0
32
32
0
20
4
0
0
8
0
0
0
0
0
0
0
25
16
1
0
0
0
0
0
8
0
16
8
8
16
16
16
4
8
0
0
0
0
0
1
21
21
0
0
17
4
4
0
16
16
0
0
0
0
0
0
0
0
0
0
0
20
20
0
8
8
0
0
0
24
24
0
0
2
0
0
0
0
0
0
4
4
4
1
0
0
0
0
0
1
4
16
16
0
4
4
1
0
0
0
0
0
0
0
8
4
0
0
8
0
0
16
4
0
0
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
1
0
4
0
8
8
8
3
3
16
1
8
8
0
0
0
0
1
1
8
0
0
0
20
11
0
0
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
4
9
9
0
16
16
16
8
4
4
4
0
28
0
0
0
8
8
8
16
16
16
0
0
0
0
0
0
0
0
16
0
0
0
8
0
0
4
0
0
0
0
0
0
1
8
0
0
0
0
8
0
8
0
20
20
0
24
24
4
4
0
0
52
0
0
0
2
2
2
16
16
26
29
29
29
29
29
29
29
0
0
0
0
4
0
8
0
0
0
0
0
0
0
5
5
0
0
0
4
20
4
0
0
8
4
4
8
8
8
16
8
8
8
0
0
0
2
0
0
2
0
0
24
4
0
0
0
0
0
0
0
0
8
0
16
16
0
28
0
1
0
0
16
0
1
0
4
4
40
16
16
0
20
20
0
16
0
0
16
16
8
16
16
0
8
0
16
8
0
2
0
0
8
0
1
16
0
0
0
0
0
8
0
0
0
16
16
0
0
4
6
4
16
12
0
0
0
1
0
0
0
0
8
16
16
8
0
16
0
1
0
0
0
8
0
0
0
0
2
2
24
0
0
24
8
16
0
2
0
8
8
8
0
0
17
0
0
0
0
24
24
24
0
6
8
28
8
32
16
16
16
16
16
16
16
8
8
8
0
0
8
8
0
8
8
8
24
16
0
0
0
8
1
8
0
0
0
0
0
16
0
0
0
0
0
0
0
0
8
8
8
16
8
0
0
0
8
4
0
0
16
0
3
9
0
16
16
16
0
0
16
0
0
1
1
0
0
0
0
0
16
0
8
8
0
0
0
0
0
0
8
8
8
8
0
0
24
16
16
4
4
4
1
8
18
18
0
0
0
0
0
8
8
0
2
2
0
0
1
0
4
4
2
38
0
8
8
8
20
4
0
0
0
0
0
0
2
0
16
0
0
8
0
16
16
16
16
16
16
16
16
16
2
0
8
8
8
0
8
8
0
0
0
0
0
2
2
2
8
0
0
0
0
33
0
0
0
0
0
0
8
8
8
8
0
0
0
0
0
0
8
8
8
8
0
0
2
2
2
0
16
4
0
0
0
0
5
0
0
0
8
8
0
8
8
16
16
16
0
0
0
16
16
4
8
16
16
4
2
2
2
0
9
0
0
16
16
4
8
8
24
8
8
36
16
8
8
1
24
8
2
5
16
16
0
0
0
8
0
0
0
5
5
5
0
0
0
8
8
2
0
0
0
0
0
8
0
0
0
0
4
1
1
1
0
24
8
32
32
32
0
2
0
1
1
1
0
0
8
16
8
0
4
0
8
8
24
0
0
0
0
0
0
0
0
0
4
0
9
16
0
0
4
8
8
0
24
0
16
0
1
8
12
12
0
0
0
0
0
0
0
0
8
0
0
16
0
0
0
8
8
8
8
0
0
24
0
0
8
8
5
0
0
24
10
10
10
10
10
0
0
0
0
8
0
0
0
0
0
0
0
8
8
0
4
0
16
8
8
0
0
16
0
16
16
16
13
13
2
2
0
0
0
0
8
12
2
2
2
8
0
8
8
0
0
0
24
8
0
0
0
16
0
0
12
0
16
1
1
8
8
4
4
0
8
8
23
8
0
0
16
8
1
8
9
8
8
16
0
32
32
16
8
24
8
8
17
2
2
16
16
16
16
16
8
8
16
8
8
10
0
4
8
2
2
0
0
0
16
16
2
16
17
0
0
49
49
49
0
2
0
0
2
0
0
0
8
8
0
8
0
0
0
16
8
0
0
0
1
1
1
0
4
8
0
0
0
0
2
8
16
16
0
2
0
8
8
3
0
20
4
0
0
0
36
16
32
0
0
2
0
0
0
8
8
8
0
0
0
2
0
0
0
0
0
4
0
32
32
32
0
0
0
8
0
2
2
2
0
8
0
0
8
24
0
0
0
0
27
21
21
17
17
17
17
17
0
4
2
0
0
0
0
0
8
0
26
26
16
17
0
2
2
2
0
0
1
1
1
0
16
16
0
0
2
0
0
8
8
8
0
0
0
8
0
0
20
20
17
17
4
0
8
0
0
20
8
12
0
8
8
8
16
0
8
8
8
8
4
8
0
0
12
32
2
0
0
8
1
1
0
0
0
8
0
0
8
0
0
0
0
8
8
0
0
16
20
0
24
4
0
48
8
0
0
8
8
16
16
1
1
0
8
8
8
4
4
0
0
1
9
0
8
8
8
0
8
0
0
1
0
8
8
8
0
12
16
0
20
0
0
2
2
4
8
0
0
0
1
4
4
0
0
8
16
22
32
4
0
2
0
0
0
0
0
0
0
0
0
8
0
24
16
0
0
0
0
0
0
0
4
16
0
8
8
1
1
1
1
0
4
8
24
16
0
0
16
16
8
8
4
0
0
0
0
0
1
22
22
1
1
1
0
8
8
4
24
0
0
0
0
0
8
8
8
8
8
16
0
0
0
0
0
24
16
16
16
16
16
0
0
32
32
0
0
4
58
18
18
16
24
16
0
0
0
3
0
0
1
1
0
12
8
0
2
16
0
0
0
0
0
2
8
0
16
0
0
0
0
0
0
16
8
0
0
0
0
0
16
0
0
16
16
16
0
4
16
0
0
0
4
12
48
16
8
0
0
0
16
16
4
20
0
0
20
8
0
16
8
24
16
24
24
8
0
1
0
0
8
9
0
0
0
8
16
12
12
16
8
8
0
0
20
20
16
0
20
20
22
22
0
0
0
1
25
0
0
0
8
8
0
0
0
9
9
0
8
8
0
8
8
8
1
0
8
0
16
16
16
0
8
1
1
8
8
0
0
2
8
2
12
0
8
8
8
8
0
24
24
0
0
0
8
0
0
0
0
4
0
0
0
0
0
0
0
10
2
0
0
0
1
4
4
20
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
16
16
0
8
8
8
6
6
8
0
0
8
16
16
6
16
0
0
28
4
0
4
4
0
0
48
0
0
0
0
0
0
0
2
0
0
0
0
8
0
0
16
16
16
16
16
0
0
0
0
4
1
1
8
8
16
10
0
8
8
8
8
0
1
1
1
16
0
0
8
16
0
8
8
0
32
0
4
4
4
4
0
0
0
8
8
8
32
32
8
8
0
0
0
8
17
17
16
16
0
0
0
16
8
0
0
0
4
8
8
0
16
0
0
0
24
0
8
8
40
40
0
0
6
6
0
0
0
0
0
0
0
0
8
8
0
9
31
5
8
8
0
0
0
16
16
1
0
0
0
0
8
0
16
0
16
0
2
4
8
0
16
16
32
1
4
8
8
8
8
8
8
8
8
8
0
0
17
8
8
8
8
8
9
9
0
8
0
0
0
8
0
0
0
0
8
8
2
0
0
0
2
0
0
0
0
1
1
8
8
0
0
1
1
24
8
0
8
8
16
8
0
8
0
2
24
0
8
0
4
4
4
4
0
0
0
4
0
0
8
0
0
0
0
16
16
8
0
8
0
0
0
9
9
1
0
0
0
1
32
16
16
32
0
0
0
16
16
0
16
16
0
8
4
0
0
0
0
0
0
1
1
1
16
16
18
4
16
16
0
8
0
0
32
0
8
8
0
0
0
0
4
0
0
0
0
8
8
8
0
3
8
0
16
1
1
33
16
2
2
16
0
18
0
0
0
16
8
8
0
0
8
8
8
8
16
16
18
0
8
16
8
8
8
0
8
0
0
0
0
24
16
8
12
12
8
16
16
16
16
16
0
2
8
0
0
0
0
8
0
0
8
20
20
8
8
35
35
35
2
1
8
8
8
0
0
0
0
2
2
2
0
8
4
4
4
16
0
24
24
24
24
0
8
8
16
0
0
16
0
0
0
4
0
0
16
8
8
2
0
0
0
8
8
4
0
0
0
0
0
8
8
0
0
0
1
1
1
8
0
8
8
0
8
8
0
0
0
8
4
12
0
0
0
0
0
4
16
8
8
8
16
0
24
4
0
8
1
0
0
0
0
0
0
1
0
8
8
8
8
8
8
4
0
20
20
0
0
0
16
8
0
0
0
8
0
16
8
8
0
16
16
16
16
16
8
8
0
2
2
0
0
0
0
8
16
0
16
0
16
4
4
16
0
0
16
8
2
2
0
8
24
8
16
16
16
16
16
16
16
16
1
8
8
8
24
24
26
0
16
16
8
16
0
0
0
0
8
0
8
16
16
2
0
2
1
0
0
20
10
8
8
1
16
24
24
4
8
0
0
0
0
8
0
8
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
41
8
8
4
0
16
16
8
8
16
16
16
8
0
2
8
0
0
0
4
0
0
8
8
0
2
2
2
0
46
0
0
4
4
0
0
8
8
16
0
0
0
8
8
0
0
0
0
1
1
0
0
0
0
0
0
2
8
0
0
1
0
1
0
0
4
16
2
18
18
18
18
18
0
2
2
25
24
0
0
0
10
2
0
0
0
0
16
24
0
9
1
4
0
8
0
0
16
0
2
8
8
8
0
8
8
16
8
0
16
8
4
8
8
8
0
8
0
0
0
0
0
0
0
8
16
0
0
0
0
0
8
16
16
4
8
1
8
8
0
0
0
0
16
0
0
40
0
0
0
1
32
32
8
0
0
0
56
56
56
33
33
24
0
8
8
16
16
8
17
0
16
0
35
3
0
0
0
0
0
0
0
0
2
9
9
9
8
32
6
16
0
8
8
8
0
8
8
0
16
16
2
2
0
61
61
0
1
0
0
8
16
0
0
0
0
2
16
16
0
0
8
16
16
16
16
8
0
0
8
4
4
0
16
0
8
20
20
4
4
0
0
0
16
0
0
0
0
16
20
0
0
0
0
16
1
1
0
0
0
0
0
8
8
2
8
4
4
4
0
0
0
32
0
0
0
0
8
0
0
0
16
16
8
8
8
0
0
1
16
13
0
0
8
2
0
16
16
16
8
8
8
0
0
20
2
0
28
5
0
0
24
24
24
0
0
4
1
16
16
16
1
1
2
2
2
2
8
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
17
0
8
0
0
0
8
8
8
0
0
0
0
40
0
0
8
8
24
8
0
0
0
16
16
8
0
0
0
24
24
24
0
16
17
17
0
0
0
0
0
0
0
0
0
0
16
16
8
16
8
0
0
0
0
0
0
0
0
0
2
2
2
0
8
8
4
4
4
16
50
0
1
0
0
0
8
0
0
0
8
0
16
2
8
4
0
0
8
8
8
0
16
1
24
2
0
16
16
20
20
0
0
16
16
0
0
8
8
4
0
0
0
0
2
2
2
8
8
8
0
0
49
0
0
16
18
8
8
18
0
0
16
16
16
16
16
16
16
8
0
0
8
8
12
8
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
16
16
8
8
8
8
0
0
8
8
16
8
0
0
2
4
0
32
0
8
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
1
16
18
0
0
0
0
16
8
0
2
0
0
0
0
0
0
8
0
0
1
16
0
0
24
16
6
16
4
0
0
0
0
0
5
0
8
8
0
0
0
0
4
4
0
8
8
8
0
0
8
8
8
8
8
0
0
18
0
8
8
8
0
0
2
0
0
0
0
0
2
2
2
8
16
16
24
16
0
0
12
4
0
0
0
0
0
0
0
0
0
16
16
16
8
4
0
16
0
16
16
0
16
0
0
0
8
8
0
1
8
16
36
16
16
2
0
0
0
1
1
8
8
8
8
8
8
8
8
8
0
0
16
20
6
0
0
16
16
0
2
2
16
0
0
0
16
0
0
0
0
0
1
16
8
8
8
2
2
0
4
0
0
8
4
12
12
16
0
8
32
0
0
0
8
16
0
16
0
0
0
8
24
16
8
17
0
12
0
8
0
0
0
0
0
0
2
2
2
2
2
2
0
4
0
0
0
0
0
0
20
0
0
8
0
0
8
8
16
0
0
0
8
17
8
8
1
0
0
0
16
8
8
8
8
2
0
8
0
0
16
16
18
18
18
0
0
8
8
8
8
35
0
32
16
16
0
0
0
0
16
16
0
32
16
0
8
0
0
0
0
30
0
0
0
0
0
0
0
0
0
10
10
2
0
16
16
0
16
16
1
0
0
0
0
10
0
0
0
8
4
0
0
0
0
6
6
24
24
0
8
0
0
16
0
0
0
0
0
8
8
0
16
0
8
8
8
8
0
0
0
1
56
0
0
0
8
8
0
0
0
0
0
0
18
0
0
0
0
0
8
8
6
6
0
0
8
0
0
0
0
0
24
28
8
4
0
0
0
0
0
0
0
0
0
2
2
4
16
0
0
0
0
17
0
0
8
0
0
4
0
16
24
24
1
8
2
0
0
0
2
16
16
5
0
16
0
2
2
2
2
2
0
0
0
0
4
0
16
8
0
4
4
4
0
16
16
2
9
9
0
0
0
8
0
0
0
16
35
35
20
0
0
4
0
8
8
8
24
0
0
8
8
24
0
2
8
8
0
16
16
16
32
0
0
0
0
0
0
0
0
56
0
0
0
60
0
0
0
0
0
0
0
2
2
0
0
0
8
8
8
0
8
0
42
8
8
4
8
8
16
0
8
2
8
0
1
0
0
0
0
6
0
0
0
8
8
0
0
8
1
4
4
16
16
0
2
0
0
18
18
0
62
62
8
0
36
36
4
4
1
1
8
4
32
8
0
4
0
0
0
0
8
8
8
2
2
8
4
0
8
8
16
16
0
0
0
0
0
0
0
8
4
12
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
4
0
4
8
8
16
16
16
0
16
16
0
0
0
0
16
2
2
0
16
0
2
8
0
1
1
0
0
4
0
4
4
4
0
32
0
0
0
16
1
8
13
2
0
4
8
8
0
0
16
0
0
0
0
0
8
1
1
4
0
0
0
0
0
0
0
0
18
8
0
0
2
8
8
8
4
0
0
0
0
0
0
0
0
0
0
0
5
8
8
8
0
0
0
0
0
0
1
8
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
48
0
8
0
0
2
0
0
0
1
4
16
16
28
16
9
9
0
0
0
16
16
4
0
0
0
0
0
1
0
0
0
16
2
8
0
0
4
9
0
0
2
2
0
0
0
17
8
0
6
2
8
8
12
0
0
0
0
0
0
0
8
8
8
0
2
0
0
0
8
0
4
0
16
8
0
0
8
0
0
0
0
0
0
0
61
0
0
0
8
8
8
1
17
1
1
0
0
1
8
16
16
8
2
0
8
0
0
0
0
0
18
0
8
8
8
8
8
8
8
8
0
16
0
0
0
0
0
0
0
0
24
0
0
0
0
0
0
8
8
0
0
0
8
0
8
8
0
0
8
8
8
8
0
8
8
0
0
0
0
0
16
0
8
0
16
2
12
12
12
12
0
0
18
0
0
0
0
0
8
8
8
8
8
8
8
8
8
0
0
0
8
8
8
8
0
4
16
16
16
16
16
16
0
8
16
0
0
0
8
8
0
16
16
16
0
32
32
0
8
8
0
0
17
0
0
0
0
0
0
0
0
0
0
0
16
16
24
24
24
24
24
8
8
8
16
16
8
8
8
8
0
16
16
16
16
16
4
4
4
4
0
0
0
0
0
0
0
0
4
8
8
8
9
9
9
0
0
8
16
16
24
8
8
0
0
6
16
8
8
8
8
0
3
3
0
0
0
0
8
8
16
0
16
16
8
0
4
4
0
0
8
8
0
0
0
0
0
0
0
0
8
16
0
16
4
12
5
0
0
0
0
16
0
0
1
8
6
16
16
0
0
8
0
8
8
8
1
0
0
16
0
0
9
0
0
0
8
8
0
0
8
8
24
0
41
8
19
0
16
2
16
16
3
25
0
0
0
32
32
36
36
8
2
0
1
32
0
0
8
20
20
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
4
8
1
0
0
0
0
8
0
4
8
4
4
16
8
8
8
0
0
0
0
2
2
0
8
8
40
40
0
3
0
0
16
28
28
16
0
0
0
8
32
32
32
32
0
0
0
0
0
0
0
8
0
8
8
8
4
4
8
0
0
0
0
0
8
8
4
1
8
8
4
0
8
8
0
0
0
0
0
8
8
0
0
0
0
0
0
8
0
8
8
8
1
0
16
8
8
0
0
8
8
8
16
16
0
8
0
1
1
1
0
0
8
24
24
0
8
8
1
16
4
4
4
0
8
1
0
0
8
16
16
8
4
0
0
0
16
0
48
48
0
21
1
1
1
2
16
0
16
16
16
0
0
0
16
0
0
8
8
8
24
4
0
0
16
16
16
4
8
13
28
4
16
16
0
2
2
2
2
2
4
4
4
4
4
0
8
0
0
16
1
8
8
0
8
0
0
8
0
8
8
8
6
6
6
1
1
2
17
1
0
5
0
24
49
0
0
16
0
0
0
0
1
0
16
8
0
16
0
0
16
16
16
16
8
8
8
17
8
2
2
16
0
24
1
8
20
8
8
24
24
0
0
0
16
0
0
0
0
0
0
8
4
4
0
0
0
16
16
16
16
0
0
0
0
8
8
8
0
0
0
0
50
50
32
50
8
8
1
17
0
12
8
0
0
18
0
8
8
0
8
8
8
0
0
0
1
1
8
8
28
0
36
4
0
16
0
0
0
8
8
8
0
8
0
0
16
0
0
0
0
4
16
8
4
4
0
16
16
8
8
16
4
4
4
4
4
4
1
2
2
8
8
8
2
0
0
0
0
16
16
16
16
16
16
0
0
0
0
0
8
8
8
0
0
0
1
1
20
20
32
0
0
8
24
24
24
32
16
0
0
0
8
8
8
19
16
0
0
0
0
0
0
0
16
0
0
0
16
20
20
0
32
8
9
2
2
32
32
16
8
8
8
0
0
12
0
0
0
0
20
20
20
20
0
0
0
8
8
8
8
0
0
0
0
8
0
8
24
24
0
0
0
0
0
0
0
8
32
0
0
0
8
24
10
4
1
0
9
9
9
9
9
1
1
0
8
4
12
0
0
0
0
0
0
0
16
4
4
36
1
1
4
0
8
16
8
0
8
1
1
1
8
0
0
0
4
4
4
24
24
16
0
8
8
8
8
1
2
2
0
0
0
2
16
0
16
8
24
24
0
0
0
0
1
0
8
8
24
2
32
32
32
2
0
16
20
20
8
8
1
1
8
16
0
16
8
16
24
0
0
16
16
4
24
8
16
16
16
16
4
17
1
4
8
1
4
40
40
4
0
0
16
16
9
9
1
1
1
1
1
2
1
8
8
0
4
4
4
4
4
4
4
4
4
0
0
0
8
0
32
32
0
4
0
0
24
16
0
0
0
0
0
0
0
4
48
32
32
32
32
1
0
0
0
4
4
0
17
8
2
8
8
8
8
8
2
2
2
2
2
2
2
0
8
50
50
0
8
0
32
0
8
8
8
0
0
8
0
0
0
0
0
24
24
9
0
8
4
0
0
4
4
0
8
0
0
0
16
0
0
16
0
8
8
16
0
8
0
8
8
8
0
0
0
0
0
0
0
0
4
4
4
6
6
6
6
1
0
0
16
16
16
16
16
4
4
4
1
8
16
16
16
16
0
8
8
0
0
8
8
8
0
0
0
8
4
4
0
0
0
0
0
8
0
4
2
2
8
8
8
0
0
0
0
0
0
0
16
16
18
0
0
0
16
16
4
0
0
0
16
0
4
4
1
8
8
1
1
1
16
16
0
8
8
8
12
8
8
24
16
16
0
0
8
0
8
8
8
8
8
0
8
8
8
32
16
2
16
0
0
0
0
0
8
8
8
8
16
0
4
4
4
8
8
24
0
0
8
8
2
2
2
8
16
16
0
0
0
16
0
0
8
16
0
20
1
1
8
8
0
16
16
8
29
34
0
1
1
0
0
0
0
0
6
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
8
8
8
0
6
4
4
4
0
18
16
0
10
0
4
4
0
0
0
0
0
8
8
1
0
0
2
2
12
8
2
2
8
8
8
8
8
16
16
16
16
2
18
4
4
0
16
16
1
1
1
1
0
0
8
12
8
8
8
0
0
0
8
8
2
2
2
2
0
0
16
16
16
0
0
0
0
0
0
10
10
10
10
32
32
32
32
32
4
20
32
0
0
2
2
0
0
8
3
3
2
2
0
0
8
0
0
8
1
1
8
16
24
16
8
8
16
4
4
0
0
0
0
0
0
0
32
16
9
0
2
2
4
4
4
0
45
45
45
16
16
0
0
17
1
0
0
16
16
16
0
0
0
0
0
0
8
8
8
8
8
8
8
42
0
16
16
32
32
0
0
0
0
0
0
8
8
0
0
16
9
9
0
4
4
16
16
0
16
0
1
0
0
0
9
9
0
0
16
16
16
16
0
0
2
2
0
8
1
1
1
0
0
0
0
0
8
1
16
16
16
8
8
8
19
19
19
19
16
17
1
8
8
8
8
0
0
0
33
0
0
1
1
1
8
8
8
0
0
0
8
8
8
8
4
8
16
16
16
0
0
0
12
16
16
8
20
8
8
8
16
8
8
8
0
8
8
8
4
4
32
0
4
4
4
4
0
0
0
8
8
8
8
1
2
2
2
0
0
0
4
4
16
8
1
12
12
12
0
0
16
16
8
8
4
4
0
0
0
0
0
1
8
16
16
16
8
16
16
16
8
8
40
16
16
8
8
8
8
0
0
1
9
8
8
8
8
8
8
8
0
8
8
21
2
16
8
8
22
22
0
8
1
1
1
8
0
1
1
8
8
24
41
41
41
51
8
0
0
0
0
0
0
1
1
0
0
0
0
8
8
0
8
8
8
2
16
16
16
8
4
16
16
0
0
0
0
0
4
20
4
0
8
8
4
4
4
8
0
32
8
8
8
0
8
0
0
0
0
0
2
8
40
0
32
32
0
0
0
0
1
1
1
1
1
8
8
16
16
1
0
0
0
4
4
4
32
32
32
8
8
8
8
8
8
13
12
12
8
8
8
0
1
1
4
16
16
16
0
4
4
4
8
1
0
16
4
1
16
8
0
1
16
0
0
4
4
0
0
8
0
0
0
0
0
0
0
16
16
0
0
0
0
16
16
16
0
0
16
16
8
8
8
8
8
8
8
8
0
1
8
10
10
10
0
0
4
16
16
1
17
0
0
11
13
8
8
0
1
0
21
4
32
10
8
8
0
0
0
0
0
8
20
8
8
12
4
8
8
16
0
0
0
16
0
0
0
32
32
0
0
1
1
8
8
8
9
4
2
1
8
0
0
4
16
16
16
8
0
0
0
4
8
8
8
8
8
8
16
16
16
16
2
2
16
1
2
1
1
16
16
24
8
0
0
2
0
29
8
8
8
8
8
16
16
16
16
16
16
0
0
0
0
8
16
16
4
4
4
0
0
0
0
8
8
8
8
8
24
8
8
8
8
12
12
4
4
4
4
4
8
8
8
4
0
0
8
8
0
0
8
8
0
0
28
0
2
2
0
16
16
16
16
0
0
0
0
0
23
23
23
23
0
0
0
0
1
4
0
17
0
0
0
16
8
2
22
32
16
8
16
16
8
2
2
2
2
32
1
1
1
0
0
8
8
8
8
2
0
0
0
16
0
8
16
0
0
8
2
0
0
16
0
0
0
8
8
8
8
17
17
17
16
0
4
0
0
0
16
0
0
0
32
32
32
0
0
0
0
0
24
8
0
24
9
8
0
1
0
8
8
0
2
4
4
2
8
0
0
0
0
0
0
8
8
8
8
8
10
56
16
0
0
8
8
8
0
0
24
16
0
4
4
4
0
8
16
0
0
0
0
0
16
16
16
0
4
32
32
32
8
8
8
4
4
4
4
0
0
16
16
16
16
8
32
8
0
0
8
1
8
16
16
16
0
0
0
8
32
17
17
16
16
16
16
4
4
4
4
0
0
9
2
0
0
16
16
16
0
0
16
16
8
8
0
32
28
17
1
1
0
0
2
1
2
2
0
16
16
16
0
0
4
4
16
0
0
8
16
17
17
20
20
16
16
8
8
8
0
5
0
0
0
0
16
11
0
0
16
8
22
6
8
8
28
2
18
2
2
2
8
16
16
8
0
0
0
0
0
0
8
0
0
16
34
2
2
16
16
0
22
22
22
16
16
8
0
0
0
0
24
25
0
1
32
16
16
9
2
32
33
4
0
1
1
1
1
1
16
0
0
8
4
4
4
0
4
16
16
16
16
0
24
0
1
0
0
8
0
0
17
17
17
0
8
8
8
16
16
16
16
16
0
8
8
8
8
8
8
8
8
0
16
16
16
16
8
10
0
0
9
1
0
0
11
0
0
0
0
32
32
0
8
12
8
0
10
10
10
10
0
0
0
0
0
8
2
0
0
4
2
2
0
16
16
0
0
8
8
8
8
0
0
22
8
1
8
0
0
4
16
24
0
0
1
0
0
8
1
0
0
2
0
0
0
0
0
8
2
0
4
4
0
0
0
4
0
0
16
16
16
16
16
16
32
32
32
0
0
0
8
1
8
4
0
0
0
0
0
4
16
16
0
0
18
16
16
16
0
24
8
8
8
24
24
24
0
0
2
2
2
0
2
0
2
2
14
14
14
14
16
16
16
16
12
12
1
1
0
8
8
4
0
0
2
4
0
16
8
8
4
4
4
4
16
16
16
0
8
0
8
8
2
2
16
8
8
8
8
8
8
8
8
8
8
8
8
0
0
16
0
20
20
41
2
2
16
0
0
4
0
8
8
20
16
16
4
30
24
0
2
8
0
0
0
8
8
8
8
16
0
8
8
0
24
12
12
4
4
0
16
24
16
9
1
1
16
16
16
16
16
0
0
16
1
8
0
4
4
0
0
0
1
0
35
35
1
8
8
0
16
16
0
0
0
0
0
0
0
0
0
6
0
0
0
0
0
0
0
16
16
8
9
0
48
16
16
16
0
8
0
0
24
1
8
0
4
4
0
0
0
0
0
0
0
0
8
18
16
16
27
0
8
19
19
19
16
16
12
12
4
0
32
32
32
48
32
0
5
0
0
4
4
0
2
8
8
8
8
0
32
0
8
4
16
4
1
1
1
1
0
10
0
0
0
0
0
0
16
16
16
8
0
8
8
8
8
0
1
1
1
8
8
8
8
8
1
16
16
16
32
16
0
0
0
8
8
8
1
0
0
0
5
5
0
0
41
0
0
8
8
8
8
0
4
16
16
16
16
16
8
0
0
24
24
24
47
4
0
8
1
1
0
0
0
0
0
0
0
0
0
0
0
0
8
8
16
16
37
1
1
1
4
4
4
8
4
4
8
0
8
8
8
0
0
16
0
4
4
0
0
0
0
0
0
0
16
16
0
0
10
4
8
26
4
2
2
0
24
4
0
0
0
36
0
0
0
8
8
8
1
8
8
16
8
9
0
1
1
32
32
56
24
1
1
0
8
0
0
0
3
8
8
8
16
16
16
16
0
0
0
8
16
0
0
0
0
0
0
1
1
1
16
8
16
60
4
4
4
0
0
0
24
0
9
4
4
16
20
8
0
2
8
8
8
8
0
8
8
8
8
8
8
8
8
8
8
8
8
8
16
1
1
1
0
8
8
8
24
24
0
4
2
0
0
16
16
16
0
24
8
8
8
8
8
8
8
8
8
4
0
20
0
24
16
0
0
0
16
16
16
16
16
4
4
0
0
0
16
16
0
8
8
8
8
6
6
2
0
0
0
0
8
8
8
0
1
1
0
4
4
4
0
0
8
8
58
0
0
4
0
0
0
1
1
1
0
0
0
0
8
8
8
8
8
16
0
8
4
4
4
8
8
8
8
0
0
0
0
8
8
8
8
1
1
1
1
24
8
8
8
2
8
8
8
8
0
0
0
8
0
8
8
16
16
16
8
8
8
8
8
25
0
0
0
0
0
0
0
8
8
8
4
0
0
0
8
0
0
8
0
8
0
0
0
1
0
0
2
24
24
27
8
16
12
4
2
2
2
2
0
2
2
16
16
0
0
16
8
16
16
1
24
8
8
0
0
16
0
0
8
8
8
8
24
24
0
24
0
0
4
8
8
8
8
16
0
0
16
3
16
48
48
16
2
16
4
1
0
0
8
0
8
8
8
0
1
16
8
0
1
1
0
0
0
8
8
8
4
12
0
4
8
12
0
4
4
0
4
4
4
4
12
32
16
0
0
0
1
1
1
1
1
4
4
8
16
16
8
8
8
8
8
0
18
0
0
8
8
0
6
8
8
8
8
0
0
16
0
16
2
0
0
8
8
8
8
8
8
8
8
8
16
16
8
16
17
17
0
18
0
0
1
0
0
0
32
32
32
0
0
0
0
0
0
0
0
24
24
24
24
24
2
16
16
16
16
16
16
1
1
8
8
8
12
20
0
4
4
16
16
16
8
16
8
8
0
0
0
0
0
0
3
16
16
0
2
2
2
2
2
0
0
8
32
32
32
0
4
4
24
0
0
0
0
0
0
0
1
1
8
8
8
8
26
0
0
4
0
8
0
0
24
24
24
8
8
16
13
2
8
16
4
2
16
1
8
8
8
2
0
0
8
8
0
0
0
0
0
1
0
32
0
0
0
4
4
8
24
24
37
16
4
8
0
0
8
8
8
8
16
16
16
16
16
16
16
16
0
0
0
0
0
29
29
29
29
29
1
39
16
8
8
8
1
0
2
2
2
4
4
0
0
0
8
28
28
8
8
32
1
16
16
4
16
2
0
24
16
0
8
0
8
8
0
8
8
8
8
1
1
1
1
8
8
0
0
0
0
24
0
0
16
1
1
0
0
16
0
8
8
16
4
4
0
0
0
1
8
8
8
0
4
1
2
0
0
4
16
0
16
0
0
0
0
4
8
1
0
4
16
16
2
25
16
4
4
4
8
8
8
8
24
24
24
0
0
8
16
16
0
0
0
8
8
8
12
12
0
0
0
24
0
8
0
17
0
8
8
8
8
16
2
0
0
1
17
4
16
8
0
0
16
16
16
16
16
4
4
4
4
16
0
0
0
8
8
2
8
0
0
0
0
0
0
16
0
0
0
16
16
16
16
16
16
16
0
4
4
0
16
16
16
0
0
8
8
8
8
8
8
8
0
0
0
0
0
4
4
4
4
4
4
8
8
16
8
0
0
8
0
0
0
3
0
0
0
0
8
16
16
0
0
0
0
0
0
0
0
0
0
0
4
16
8
32
0
8
8
8
1
16
16
8
0
8
8
8
8
8
0
8
8
8
8
8
8
8
16
16
28
28
28
0
0
0
24
24
0
8
8
8
20
32
0
8
0
0
0
0
8
0
16
16
26
16
16
0
4
4
4
4
8
8
0
0
0
0
4
1
0
0
8
8
16
16
0
0
8
8
4
8
0
9
18
18
0
16
25
25
0
0
0
32
0
0
16
16
4
4
0
0
1
2
0
16
0
0
16
16
0
4
0
16
16
0
8
8
0
0
0
8
8
0
0
0
0
16
24
16
0
8
8
8
8
32
1
32
8
8
8
4
0
0
0
0
0
16
4
8
8
8
17
16
16
16
4
4
0
0
0
16
8
0
0
16
0
0
0
0
4
4
4
4
4
16
16
16
1
0
0
0
0
16
16
16
16
2
8
4
0
0
8
8
8
8
8
0
32
32
32
0
16
8
8
8
8
8
21
0
0
0
0
0
0
0
4
24
24
24
4
4
4
48
48
48
48
0
0
0
8
16
16
12
16
16
0
0
4
4
4
16
8
8
28
0
0
0
8
4
0
0
16
8
24
8
8
16
0
8
8
8
8
1
0
6
1
0
0
0
0
2
0
0
0
8
2
2
0
0
0
0
20
20
0
16
16
16
16
16
16
16
16
16
0
0
0
0
4
1
8
8
0
8
8
16
1
16
0
0
0
1
0
0
0
0
8
0
0
0
0
0
8
8
0
0
8
4
36
0
0
0
0
0
16
16
16
8
0
0
0
1
0
0
8
0
8
8
0
8
0
10
10
10
8
8
8
9
8
16
16
16
0
0
0
16
0
0
1
1
1
1
0
4
4
0
8
16
16
16
8
8
8
8
8
8
8
8
0
0
0
24
2
18
20
1
6
8
8
0
0
0
16
16
0
24
24
24
24
16
16
16
16
16
0
0
0
0
0
8
1
1
1
1
1
1
1
1
1
1
1
9
0
8
8
8
8
16
16
8
8
4
4
16
18
18
16
8
8
8
8
8
8
8
8
8
8
8
12
12
12
4
0
0
0
24
24
16
16
16
0
0
0
16
16
16
8
0
0
8
2
2
8
8
8
0
0
0
16
16
24
24
8
8
0
8
8
8
16
16
16
8
8
8
16
16
8
0
8
8
8
8
8
8
16
16
8
8
3
16
16
0
32
14
14
4
4
4
16
16
0
0
0
40
32
8
0
16
16
16
16
16
16
0
0
0
16
16
8
4
4
4
8
0
0
16
4
4
8
8
0
1
17
0
8
8
8
8
8
25
32
0
0
8
1
32
0
0
24
16
0
0
0
0
0
0
0
0
0
0
0
8
2
14
8
8
8
0
0
0
0
0
16
16
1
1
1
8
8
2
2
8
8
8
8
8
0
0
0
0
0
16
0
0
0
0
0
0
2
2
0
1
1
1
0
16
8
18
18
8
8
0
24
24
0
24
0
16
0
0
0
0
8
0
24
24
8
8
8
10
16
8
8
8
8
8
4
4
0
0
18
13
0
8
16
16
16
16
16
16
16
16
8
8
8
0
0
0
32
0
16
0
0
0
16
0
16
0
16
16
16
16
2
16
0
16
16
16
0
2
0
0
8
0
8
8
16
8
8
1
8
16
12
12
2
0
0
0
0
0
0
8
0
4
8
8
8
4
8
8
8
8
57
57
0
16
16
16
16
16
1
9
1
8
1
0
2
1
1
1
20
16
1
16
0
17
17
8
8
0
0
38
16
16
16
16
16
0
0
0
1
1
1
0
0
0
8
8
8
8
40
4
4
4
16
16
1
1
1
1
2
2
4
8
8
16
0
1
0
0
0
0
0
0
0
16
16
8
0
9
2
16
0
0
8
8
8
8
8
16
16
8
32
0
16
8
8
2
2
0
0
16
12
16
28
8
8
8
0
8
8
24
24
24
24
8
8
2
8
16
16
16
4
4
4
4
4
8
32
32
34
36
36
3
8
16
8
8
20
20
20
20
20
2
16
16
4
0
4
21
1
1
12
4
16
16
16
16
8
4
16
0
0
1
8
8
8
41
1
8
4
8
16
16
16
16
8
4
8
8
12
0
0
0
16
8
17
17
0
0
4
16
0
0
8
16
0
16
8
24
8
3
16
16
0
0
16
0
0
8
8
8
16
16
0
4
0
16
4
4
0
0
0
8
8
8
8
0
8
16
4
9
9
9
0
0
8
8
0
0
0
24
0
8
8
8
0
4
4
2
24
16
16
16
8
8
0
0
17
0
0
32
16
8
8
8
8
0
8
9
9
9
9
4
0
0
0
0
0
0
8
0
0
0
24
16
16
8
16
16
16
16
0
8
16
16
16
16
5
16
16
16
8
16
8
16
16
16
0
0
18
0
0
2
2
3
1
1
0
0
9
9
9
8
0
0
0
0
0
0
9
0
0
0
0
0
8
8
8
8
8
4
4
16
0
8
8
16
16
0
8
8
0
0
1
0
0
0
25
25
0
16
16
16
0
0
0
0
34
34
16
8
8
0
16
0
1
0
0
16
16
16
16
16
16
16
0
0
0
0
0
0
0
2
16
0
1
1
8
0
2
32
32
0
16
16
16
16
16
16
8
16
0
0
1
1
0
0
20
20
20
2
0
0
0
0
0
1
8
8
0
0
0
24
8
8
16
16
16
16
16
0
8
0
4
4
2
2
0
0
8
0
4
0
16
16
8
0
0
0
8
9
9
0
8
4
1
1
2
2
4
0
4
16
0
0
20
0
0
0
0
4
4
36
8
0
8
0
16
16
8
8
8
0
0
0
8
8
16
0
0
8
8
0
0
16
0
0
0
2
8
8
18
18
18
2
8
0
0
0
25
25
25
17
1
2
2
2
2
16
1
1
1
2
2
2
8
8
0
12
12
12
8
8
1
8
0
32
0
0
0
0
16
16
16
16
9
8
10
16
16
16
16
8
0
0
16
8
8
16
16
1
0
0
8
8
0
8
8
4
0
28
8
0
0
0
8
8
16
24
8
24
0
16
16
4
4
4
4
8
17
0
12
8
8
0
8
8
8
16
8
0
0
0
16
16
16
4
4
24
24
8
8
8
8
0
18
2
16
16
16
4
4
4
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
0
0
2
32
32
0
4
0
0
0
0
0
0
0
0
0
0
1
1
1
24
32
32
0
0
8
0
0
0
0
16
16
16
16
8
8
8
8
0
0
8
0
0
0
0
0
9
16
16
16
8
8
8
8
8
8
2
2
2
2
0
16
16
16
0
32
24
1
1
0
0
4
4
4
0
0
8
0
8
8
0
5
1
0
0
8
8
4
4
4
0
4
4
4
4
0
0
1
1
1
1
16
16
16
1
1
1
1
1
1
1
1
16
0
8
0
8
24
0
0
0
0
1
16
16
16
16
16
16
16
8
8
3
32
32
32
2
8
2
2
0
8
8
16
0
16
16
8
11
16
16
16
16
0
16
16
16
8
8
0
0
0
8
0
0
8
8
0
16
16
16
0
0
1
4
8
0
0
0
0
4
4
4
4
4
0
8
8
0
4
0
32
32
32
32
32
0
0
0
0
16
1
1
4
4
0
24
24
0
16
17
0
24
16
16
16
16
16
16
16
0
8
16
2
2
2
4
0
0
0
16
16
16
16
0
8
8
8
8
4
4
16
16
0
0
16
16
0
4
4
4
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
16
0
8
8
0
16
16
0
16
2
2
16
0
0
8
8
8
8
8
8
8
2
16
0
0
0
0
48
2
2
2
2
0
32
32
32
0
0
8
0
8
8
0
0
1
0
24
8
0
8
0
0
8
8
8
8
8
0
0
0
0
8
8
8
4
4
4
4
4
4
8
8
16
0
12
12
12
12
12
12
0
0
0
0
0
9
0
16
8
8
0
0
0
0
8
8
8
16
16
16
4
4
4
8
0
0
8
0
0
8
8
18
8
8
8
0
0
8
1
1
1
1
16
16
16
16
16
16
16
0
0
28
0
0
8
17
1
16
16
16
16
0
16
16
16
4
8
8
24
16
16
4
32
16
16
32
32
17
17
35
0
0
0
8
24
8
8
8
0
0
8
8
8
8
8
8
8
8
8
16
10
10
8
0
13
4
8
1
0
0
8
16
8
8
8
8
0
0
2
2
8
8
16
16
8
0
0
0
16
8
16
16
4
16
16
4
16
16
16
0
0
1
0
0
0
16
1
1
1
0
16
16
16
16
2
8
32
32
33
32
32
0
0
8
8
8
0
0
16
0
0
8
8
27
0
0
16
16
16
16
16
16
1
0
0
0
16
16
16
16
8
0
4
8
0
0
8
8
8
17
0
0
0
16
6
6
6
0
0
0
0
16
16
1
8
8
8
8
8
8
4
16
16
16
8
8
8
0
0
8
4
0
16
16
1
0
0
16
16
2
40
24
8
0
8
8
8
8
8
16
16
32
32
32
32
1
1
8
8
17
16
8
8
16
0
0
8
8
16
16
16
0
8
8
8
8
28
8
8
48
48
1
32
43
43
17
42
8
0
0
0
16
8
0
0
16
8
8
33
33
0
0
0
0
0
4
16
16
16
16
8
8
8
8
8
8
8
0
16
16
0
16
0
8
16
0
0
0
0
24
51
51
51
51
51
51
0
8
8
16
16
16
4
16
16
16
16
16
16
16
16
8
8
1
8
8
17
16
16
16
8
1
18
16
0
16
16
16
8
8
1
24
8
8
16
0
0
8
8
8
1
0
0
0
0
16
16
16
0
2
2
2
2
2
2
16
0
4
4
0
0
0
0
8
0
16
16
0
0
0
4
26
16
16
8
1
8
8
24
0
1
24
24
1
32
32
8
8
16
8
16
0
0
0
0
20
20
20
0
2
2
9
9
9
8
8
16
24
0
0
32
16
20
4
0
0
4
16
16
8
8
8
8
0
16
8
8
8
8
0
4
1
1
1
1
0
32
32
32
32
1
0
8
16
16
16
16
16
17
16
2
2
0
8
0
0
4
4
8
8
8
0
0
0
0
6
0
4
2
0
2
2
8
8
8
8
0
4
4
24
24
0
16
16
16
0
0
0
0
0
4
4
16
0
16
20
4
1
1
8
8
16
1
1
0
16
16
32
32
32
32
32
32
0
0
16
16
8
8
8
8
8
0
8
0
0
0
0
0
0
6
0
0
32
8
8
8
0
8
1
2
8
8
2
2
4
8
0
0
0
0
3
32
32
16
0
0
0
32
0
22
22
8
32
0
0
27
8
8
16
8
8
24
24
24
24
0
8
16
18
8
0
0
16
8
8
8
4
8
16
8
24
16
20
20
16
0
0
0
16
16
1
1
2
2
2
2
4
4
4
8
8
8
0
0
0
20
16
16
16
8
8
0
16
16
0
0
16
16
57
57
8
8
4
24
0
16
16
0
0
8
24
24
16
16
16
1
1
0
16
0
8
2
2
0
0
0
0
0
0
0
8
8
8
8
8
16
56
8
8
8
16
16
8
8
0
40
32
8
8
21
8
36
16
17
17
2
2
0
0
8
8
0
0
8
6
8
8
24
0
0
0
0
4
4
18
4
22
4
0
0
8
18
18
0
0
0
0
0
0
0
0
0
1
4
8
8
8
2
16
8
1
16
8
0
16
8
16
1
16
0
0
4
0
3
0
0
8
8
8
1
16
8
8
8
0
8
1
0
32
33
18
16
18
16
8
0
0
0
0
8
9
0
0
0
8
0
16
16
16
16
8
8
8
8
1
8
8
17
1
0
8
8
0
0
16
1
4
32
32
4
8
8
0
2
2
0
0
8
8
2
0
28
8
1
1
1
1
1
1
0
0
4
16
0
2
0
4
4
16
16
8
16
0
16
0
0
2
18
0
0
0
4
0
8
8
2
4
16
16
36
8
8
8
8
16
16
16
16
8
4
0
22
8
4
4
8
8
0
8
36
36
32
4
36
36
8
0
0
34
34
4
12
4
0
0
0
0
0
0
0
16
24
8
1
0
8
8
0
16
16
16
16
16
16
16
0
4
4
0
0
0
1
8
1
1
1
0
0
0
0
8
2
16
0
20
4
8
8
8
8
8
8
18
17
17
16
4
4
0
8
16
16
28
8
8
8
8
0
0
4
4
4
8
0
24
0
8
8
8
8
0
0
0
8
8
8
8
8
0
0
4
4
4
1
1
1
0
0
0
8
8
8
16
8
16
2
0
16
16
16
8
8
8
8
16
16
0
0
8
8
8
8
4
4
0
0
4
8
8
8
16
8
0
0
0
16
16
0
0
2
2
2
0
0
0
22
16
0
0
0
5
1
16
0
0
8
8
16
16
16
16
32
8
17
2
2
2
2
2
1
0
0
0
0
3
1
16
0
1
8
0
0
0
4
0
33
0
8
8
8
8
8
40
1
1
1
0
0
0
0
0
0
0
0
16
17
17
32
8
8
8
0
1
1
1
8
0
0
4
4
1
1
16
24
0
1
1
8
8
8
0
0
0
17
0
0
16
16
16
8
8
8
8
24
40
40
0
16
16
16
4
30
1
1
8
8
8
8
8
16
32
8
8
8
8
8
0
0
1
4
4
0
0
0
0
0
20
20
20
0
0
0
0
16
0
0
0
0
0
0
1
8
4
8
34
32
0
8
8
8
0
16
16
16
16
16
16
16
0
16
16
16
0
16
16
0
0
4
4
4
0
2
2
2
2
32
32
32
32
32
32
32
32
0
3
3
0
0
16
16
0
0
0
0
1
1
1
1
1
8
8
0
0
8
8
0
0
0
1
1
1
1
1
0
0
16
16
8
4
0
0
0
0
24
0
0
8
3
1
16
16
16
16
16
16
16
1
1
11
56
56
56
56
0
4
5
4
16
0
4
4
4
4
4
4
4
6
0
0
0
12
8
16
0
0
0
6
8
22
8
8
20
8
8
16
16
16
28
1
1
1
16
16
16
16
16
16
0
1
1
0
0
16
0
4
16
8
1
1
1
8
8
8
8
8
0
0
8
4
0
17
16
1
0
2
8
8
2
0
9
9
0
0
0
8
8
8
0
4
0
0
0
0
0
0
8
0
0
35
0
24
24
32
0
0
16
4
4
0
8
16
16
16
16
16
16
16
2
2
2
2
40
8
1
0
16
8
8
8
12
40
2
2
1
1
1
1
6
6
0
0
12
12
8
8
8
8
16
16
16
0
0
0
0
9
16
4
4
1
8
8
25
25
25
2
0
0
12
16
16
40
8
8
24
0
0
0
1
1
2
2
6
0
0
4
9
9
9
0
0
16
0
1
16
8
8
0
8
24
8
8
8
8
0
16
6
8
17
17
17
17
17
17
17
16
2
2
2
0
0
10
0
0
0
8
8
8
32
32
24
24
0
8
8
8
0
0
0
8
0
8
8
8
2
0
16
16
16
0
0
0
0
0
0
0
0
8
8
8
16
16
16
16
16
0
0
0
0
0
8
0
2
8
8
24
24
16
16
16
16
16
8
16
26
24
8
0
0
4
8
4
0
24
40
40
40
8
8
4
8
4
4
0
16
16
16
16
57
57
8
32
32
32
8
22
0
4
48
48
16
16
8
4
8
8
4
8
8
4
8
8
32
32
32
26
26
0
8
8
8
4
13
8
8
1
0
0
0
8
6
24
32
32
1
9
17
8
0
0
1
1
1
0
0
8
8
8
0
0
8
24
0
0
0
0
0
0
2
2
8
8
8
0
0
0
0
0
0
24
16
0
8
8
8
8
40
0
0
8
0
8
0
0
0
0
12
8
8
8
8
8
0
0
4
4
4
4
4
4
8
16
16
0
0
8
1
0
8
8
0
2
0
0
16
0
24
8
16
28
2
2
2
4
16
8
0
0
8
16
16
0
0
0
0
0
4
4
8
8
8
8
8
24
0
0
0
17
0
0
0
8
8
16
2
2
1
0
16
4
0
1
1
1
1
1
1
24
1
1
2
2
0
8
8
8
8
8
8
8
16
16
16
16
8
0
16
8
8
8
8
16
24
24
8
8
8
0
0
8
8
4
4
4
16
8
8
8
0
26
26
10
0
12
16
16
63
63
21
21
0
0
8
8
16
8
8
8
0
8
8
0
0
0
8
8
8
16
8
8
8
0
1
8
57
8
0
24
5
5
59
59
1
0
0
16
8
8
0
0
2
2
2
2
0
16
16
16
0
0
0
0
16
0
0
0
8
16
0
8
8
8
8
0
0
0
0
4
0
48
8
0
20
20
16
0
8
12
8
8
32
8
4
4
4
4
4
0
8
8
0
4
0
0
16
0
0
0
1
0
0
16
4
4
0
0
0
0
0
0
8
16
16
16
16
16
16
16
0
1
1
16
16
16
16
2
8
12
4
10
2
4
1
8
8
8
8
8
8
8
8
8
8
0
13
16
16
8
8
0
16
16
24
24
24
24
24
18
4
8
8
8
8
0
0
0
0
8
0
17
16
4
0
8
8
8
8
8
8
8
0
8
8
8
2
40
0
8
16
16
24
16
0
16
16
16
16
0
0
0
0
0
0
0
48
0
16
0
0
0
8
16
16
16
8
8
9
0
0
0
8
8
8
0
0
16
16
16
16
16
16
16
4
0
16
0
16
0
8
16
48
16
16
0
0
0
16
8
4
0
8
8
8
0
8
8
8
8
1
1
1
1
4
8
8
8
1
1
1
0
25
25
8
25
0
4
4
16
0
0
0
2
16
16
8
8
8
8
0
1
14
14
0
2
0
2
0
0
0
0
0
8
9
16
16
0
0
0
16
16
8
8
8
0
0
50
50
50
8
8
0
8
16
16
16
0
0
0
2
2
2
8
8
12
0
0
0
16
16
0
0
0
8
0
0
0
0
0
16
16
16
16
16
0
16
0
32
32
32
4
4
9
9
8
8
8
20
0
16
32
8
0
0
0
8
8
8
0
16
0
0
16
0
0
8
8
0
0
0
0
1
1
8
8
0
58
0
0
0
4
30
4
4
32
32
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
0
16
0
0
0
0
0
0
0
0
16
4
8
0
8
4
0
0
0
0
1
3
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
16
16
16
4
4
16
16
1
4
0
16
2
52
18
18
18
4
4
0
0
0
0
1
1
8
41
8
4
0
4
16
1
4
0
0
16
0
0
1
0
0
0
24
20
20
8
8
0
8
8
24
16
8
32
4
32
32
0
16
8
8
0
0
0
0
0
0
8
0
2
2
4
4
4
0
8
0
0
4
4
16
0
0
8
8
18
18
0
0
0
18
18
0
1
0
32
48
0
0
0
0
0
0
0
16
18
18
0
0
8
8
4
4
0
8
0
8
0
8
8
8
8
4
4
4
4
2
0
8
12
2
10
2
2
0
8
8
8
0
0
0
0
16
16
16
16
16
16
0
24
16
16
0
0
0
8
0
0
0
16
16
16
0
24
0
8
0
0
16
8
8
8
2
8
8
8
0
1
1
2
17
17
8
0
0
8
4
4
4
4
20
0
0
0
17
4
0
2
0
0
0
0
0
9
9
9
9
9
9
24
4
12
12
12
12
12
16
4
0
0
4
5
13
13
13
8
18
4
1
16
16
8
8
0
0
8
8
4
41
16
16
16
16
0
0
0
0
0
2
2
16
2
8
8
8
16
0
0
0
0
0
0
24
24
24
16
8
8
34
34
32
32
8
8
16
0
4
4
4
0
16
16
2
2
2
2
0
0
0
16
16
16
0
4
4
4
0
8
8
8
0
0
1
1
1
1
0
0
4
8
8
8
1
16
8
8
9
9
0
0
0
24
18
8
0
0
0
8
8
16
3
3
3
32
20
0
8
8
0
2
2
2
16
16
16
24
0
0
0
8
8
8
8
8
8
0
2
16
16
34
0
0
0
0
8
16
0
0
0
0
2
0
0
24
0
0
8
8
8
8
8
8
24
8
8
16
16
0
4
4
4
4
2
2
0
0
8
1
0
0
28
16
0
2
2
2
16
16
32
21
0
1
0
0
16
16
8
8
8
8
8
1
16
16
16
0
0
8
8
8
0
0
0
0
0
0
0
0
0
49
49
0
0
0
0
0
0
0
16
2
0
8
0
0
0
0
32
40
32
32
32
32
32
32
32
16
1
0
0
8
4
0
0
0
16
8
20
20
20
0
0
0
0
8
0
16
16
4
0
16
8
8
8
8
2
2
2
2
2
19
8
8
16
16
16
16
16
0
0
0
0
17
17
17
17
17
16
0
1
4
4
8
8
8
0
4
0
0
8
18
0
0
0
0
16
20
16
16
4
0
0
0
0
16
16
16
0
0
0
0
16
0
0
0
0
1
1
0
0
0
4
8
0
0
0
0
8
0
8
16
24
8
16
16
16
0
0
0
16
16
17
1
17
1
1
1
1
16
16
4
4
12
2
2
8
0
0
0
0
0
0
0
0
0
8
8
8
16
0
0
16
16
16
16
16
4
0
8
8
0
48
48
16
0
8
24
16
16
16
16
16
16
16
16
16
16
16
0
0
0
2
2
0
16
16
16
16
8
1
2
0
0
0
0
8
8
8
2
8
1
18
42
42
42
0
8
8
6
24
24
0
0
2
2
1
16
16
0
2
0
24
1
9
9
8
16
8
8
0
32
16
16
16
0
16
0
0
0
8
1
2
0
0
0
2
0
0
0
0
0
8
8
8
8
8
0
0
8
0
0
0
0
24
8
2
4
2
2
1
32
32
8
0
8
8
2
2
2
2
2
0
0
16
0
0
16
16
12
0
0
8
1
0
0
0
1
0
0
4
0
48
48
12
0
0
8
8
0
8
0
0
8
1
0
0
0
0
0
16
0
0
56
56
8
8
8
0
0
0
2
2
2
2
2
32
0
0
6
0
8
16
16
16
0
16
16
0
1
1
8
18
40
56
0
0
0
0
0
22
16
16
16
16
16
16
0
0
8
9
9
9
9
4
4
16
16
4
8
8
8
8
8
0
8
34
34
0
0
1
24
1
0
0
0
0
1
2
2
2
2
8
16
16
16
1
8
8
0
0
8
1
0
0
0
0
0
2
2
16
16
8
8
8
20
0
8
8
8
0
8
8
8
16
2
0
16
16
0
0
0
0
0
0
8
0
16
0
2
0
16
16
16
9
9
0
16
0
1
4
0
4
8
8
8
8
8
8
8
8
24
24
24
0
0
8
0
0
1
16
8
8
8
16
16
8
40
8
8
0
0
0
2
2
2
2
0
8
8
0
0
0
32
16
16
16
6
0
16
16
16
16
16
0
0
16
16
8
8
2
2
16
0
1
16
16
16
16
16
4
22
0
6
8
0
0
16
16
4
0
0
0
0
0
0
0
24
24
28
25
24
24
24
0
8
8
8
8
0
16
0
0
16
16
16
16
0
0
2
24
24
0
0
0
0
1
1
1
0
0
17
0
16
0
1
1
1
1
1
18
8
16
16
16
1
1
1
1
0
0
0
0
0
0
0
2
0
0
0
0
0
0
8
8
8
24
24
8
8
16
8
8
8
8
8
8
1
1
8
32
32
10
10
16
16
0
8
8
16
17
8
0
1
8
4
20
0
24
24
0
0
16
0
1
1
1
0
4
4
8
8
8
8
8
0
0
0
8
0
0
4
0
16
8
16
0
0
0
0
0
8
1
1
1
1
1
0
36
0
0
0
0
16
16
16
2
8
8
8
2
0
0
20
16
0
0
0
16
16
16
8
4
32
32
0
1
8
8
0
0
8
0
0
0
9
9
16
16
16
32
0
32
8
48
48
24
24
0
8
8
0
8
0
0
16
11
0
0
0
8
2
2
2
17
17
0
8
1
1
1
1
1
1
8
8
8
16
16
16
0
3
1
1
1
1
8
45
0
0
16
1
1
1
8
8
8
8
0
8
0
0
0
16
16
16
8
8
8
45
45
2
2
8
8
4
0
8
0
1
16
16
0
1
1
1
12
12
12
0
0
8
8
0
0
8
0
0
12
2
2
2
2
0
4
0
10
10
8
8
0
36
36
4
4
0
0
0
0
8
40
16
16
16
0
0
0
8
8
16
4
4
4
0
4
0
0
0
0
0
16
1
2
2
2
16
16
0
16
6
16
16
0
0
36
20
16
16
0
4
8
16
16
3
3
3
0
0
8
2
1
8
8
8
8
0
0
0
0
60
8
8
2
2
0
2
24
8
8
24
8
8
8
16
16
16
8
0
8
8
8
0
0
0
4
16
0
16
16
0
2
2
2
8
17
17
17
16
2
1
8
8
0
0
0
0
0
16
16
8
1
8
8
0
1
1
1
8
6
6
38
2
2
0
8
8
8
8
16
16
2
2
2
32
8
8
8
8
8
40
0
0
40
0
0
8
8
8
0
0
0
4
0
0
8
1
16
16
16
16
0
0
8
0
0
24
8
8
2
2
2
16
8
16
16
16
0
0
0
0
4
4
4
18
28
0
8
8
1
8
0
4
1
0
0
8
34
0
16
16
24
0
8
16
16
16
16
16
0
0
0
0
8
16
18
2
2
2
0
0
0
32
32
32
32
0
0
8
0
1
0
0
0
4
1
1
1
16
27
12
16
0
0
0
2
2
2
2
2
0
8
2
21
4
4
4
4
4
4
32
32
16
0
0
0
0
16
9
33
0
8
1
16
0
8
8
8
10
0
0
0
0
2
2
8
8
16
9
0
33
32
8
8
8
1
2
2
16
16
24
16
0
0
0
1
1
1
0
0
14
20
20
8
8
8
8
0
8
0
0
24
33
33
33
33
33
33
33
0
2
16
8
0
16
2
8
8
8
0
4
4
0
0
0
8
8
8
8
0
0
0
0
0
18
8
0
0
8
0
0
8
8
1
4
4
8
0
2
18
2
0
0
0
1
0
8
8
8
2
0
0
32
32
0
0
0
5
61
5
1
0
0
0
16
16
0
8
8
8
20
20
20
20
0
8
8
8
8
1
12
12
8
8
16
16
16
0
50
50
8
16
16
8
8
8
0
0
0
8
8
16
16
16
24
4
8
0
4
4
0
0
12
12
0
0
2
2
2
8
1
6
4
0
0
0
0
0
0
0
0
0
1
8
0
8
8
8
8
8
0
8
8
8
0
35
16
2
2
8
2
1
1
1
1
0
8
8
8
0
0
0
0
0
32
4
0
0
4
0
0
1
1
0
0
8
8
16
4
16
16
8
8
0
8
16
8
16
16
16
16
8
8
26
8
8
8
8
0
0
1
1
16
38
16
16
16
16
16
8
0
0
0
0
0
0
32
32
8
0
0
0
0
1
1
0
8
8
8
16
20
16
0
4
16
16
16
16
16
16
16
16
16
16
28
8
8
8
8
8
8
0
0
4
4
8
1
32
4
16
8
0
4
8
24
24
8
8
0
0
0
0
0
8
8
45
16
0
8
8
8
4
4
4
4
16
16
8
62
62
62
8
0
8
0
0
0
0
16
16
16
0
0
0
17
17
16
16
16
0
0
4
1
1
16
16
16
16
16
0
8
4
4
0
16
16
4
8
8
8
8
8
4
32
0
0
0
0
8
8
8
32
8
1
1
2
2
6
32
0
4
0
0
8
16
16
16
9
5
5
5
32
32
8
8
8
0
0
8
4
4
24
8
24
8
8
8
8
0
8
0
0
32
32
8
8
0
0
32
32
8
8
8
8
16
16
16
16
16
0
0
0
0
0
0
4
2
2
24
16
16
8
8
16
23
16
16
0
16
16
16
4
4
4
8
4
24
24
4
2
2
0
0
0
16
0
0
0
0
8
0
16
2
1
16
1
24
8
8
0
8
8
41
41
0
0
12
8
0
0
4
4
1
0
0
28
0
0
0
0
8
8
0
0
8
8
8
8
8
8
1
0
1
0
24
0
0
8
8
1
0
8
8
8
16
16
16
0
16
16
0
20
16
0
8
8
34
34
4
8
8
8
8
8
1
4
4
4
8
8
4
4
4
0
4
4
4
4
4
0
0
0
0
8
8
0
4
4
4
4
4
4
4
3
3
24
16
0
0
0
4
4
4
4
6
8
16
0
0
1
2
8
8
0
8
8
12
16
0
16
8
8
8
8
8
16
16
16
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
0
8
8
2
2
0
0
0
0
0
0
0
0
0
0
16
16
10
4
4
0
8
16
0
0
0
0
0
0
0
16
8
0
10
8
8
0
4
16
16
16
4
8
8
24
24
0
0
0
0
0
0
0
0
2
0
0
0
0
49
49
20
28
0
21
17
8
8
8
8
8
0
0
0
8
14
14
14
4
4
4
0
0
2
16
16
16
8
2
2
0
0
0
0
16
0
8
8
8
8
0
0
0
0
16
16
0
0
8
8
1
16
16
16
16
16
16
9
9
9
9
9
32
2
2
2
2
16
16
16
1
1
1
2
0
0
0
0
4
8
2
2
2
32
32
0
14
17
0
0
0
16
2
16
0
0
0
0
1
12
8
8
8
16
16
8
0
0
18
20
4
20
2
16
16
0
0
8
8
0
0
1
16
16
16
0
25
4
8
2
8
8
8
8
0
8
0
1
0
16
16
8
0
0
16
16
0
0
16
0
0
32
0
4
4
4
0
0
0
12
2
2
4
4
0
0
0
42
16
0
8
0
1
0
0
0
16
16
16
0
0
0
0
8
8
8
8
0
16
16
0
0
8
0
0
10
0
2
2
0
0
0
0
0
4
21
4
0
0
0
0
0
8
8
0
0
0
0
16
16
8
4
8
0
8
0
0
0
0
0
16
0
1
8
0
0
8
1
1
0
0
8
0
16
0
0
0
2
8
4
4
8
8
8
8
32
16
16
0
8
8
8
1
8
8
8
8
8
8
2
16
16
16
2
2
2
8
8
0
4
32
0
0
1
1
0
8
8
32
32
0
8
4
0
0
16
0
0
0
4
4
0
16
16
16
16
16
2
2
0
0
0
0
8
8
1
0
0
0
1
16
0
6
4
0
2
0
8
8
8
8
8
0
0
0
0
4
4
4
4
4
0
0
0
0
0
8
8
8
2
2
2
8
8
1
10
10
16
0
0
0
16
16
16
16
16
0
8
8
8
8
0
40
8
8
0
0
0
0
8
8
8
8
8
4
0
0
4
4
32
40
32
32
0
28
1
1
4
8
8
2
0
0
16
16
0
16
16
16
16
16
16
16
8
8
8
8
8
8
0
0
0
0
4
4
8
8
16
8
16
16
8
0
4
8
0
13
8
8
8
8
6
0
16
16
16
8
17
27
3
3
0
32
0
0
40
40
40
8
2
10
10
0
16
32
32
48
8
16
0
24
0
0
16
16
24
16
24
24
24
48
30
4
4
4
4
0
0
0
12
0
16
1
0
24
8
8
8
8
8
0
1
8
8
8
1
1
1
1
9
0
0
8
8
2
2
1
1
24
0
0
0
6
16
16
0
0
8
8
0
0
0
0
1
16
0
4
4
0
16
16
8
8
0
0
0
16
16
8
8
8
2
2
2
0
0
8
8
8
8
16
16
16
4
0
0
0
0
1
1
8
8
0
0
21
8
8
8
0
8
16
16
16
16
16
16
16
8
8
0
0
8
2
16
2
2
8
16
16
16
32
8
16
16
8
2
2
2
2
0
0
8
32
32
32
0
16
4
8
8
0
16
16
16
16
34
34
8
8
24
8
8
8
0
0
10
0
0
2
0
0
0
0
8
0
8
16
24
0
0
16
8
0
0
16
8
0
0
0
1
1
20
8
8
8
8
0
0
0
0
8
8
0
0
0
2
2
8
8
8
2
2
0
0
3
3
0
8
8
8
16
16
16
16
0
0
0
16
16
27
0
8
8
8
8
2
8
0
0
1
1
4
4
0
16
0
0
0
0
16
8
8
8
8
32
16
16
0
16
16
16
16
16
4
16
0
0
0
20
8
2
0
0
16
16
1
1
16
8
20
12
0
2
0
9
0
0
0
0
0
8
16
16
16
16
16
16
16
0
0
16
0
0
4
22
22
22
0
16
0
0
0
0
0
2
1
16
0
0
1
24
24
0
0
0
0
1
40
0
0
8
8
16
16
16
4
8
8
8
1
1
8
8
24
0
8
8
8
8
0
8
8
0
8
1
1
0
0
16
4
4
0
0
0
0
0
40
40
40
40
0
8
8
18
8
0
0
0
0
0
8
8
0
0
16
16
16
16
0
16
16
16
0
32
0
2
0
16
8
0
0
0
0
0
2
2
2
2
16
16
0
8
8
0
0
0
0
0
0
8
0
0
0
19
19
25
32
32
16
16
1
16
16
16
16
16
16
0
0
0
0
0
0
1
1
1
1
0
0
0
8
8
4
16
16
16
8
20
16
0
0
0
8
8
8
0
0
0
0
4
0
0
0
0
0
0
1
16
16
1
3
1
1
1
8
0
16
16
0
16
8
8
24
0
4
4
4
1
16
16
2
18
14
0
0
0
0
0
0
0
0
0
16
16
16
1
1
16
16
16
1
1
1
8
2
2
8
0
0
0
0
12
16
8
0
0
4
4
4
4
4
8
8
8
0
8
8
8
2
4
4
4
0
20
2
2
2
0
16
16
16
16
16
16
8
8
8
8
8
16
16
4
24
24
8
24
24
24
24
24
4
4
4
4
4
4
4
4
4
16
16
16
16
2
0
16
16
24
24
16
16
8
50
16
0
0
0
8
8
8
8
0
8
8
16
16
0
0
1
8
0
8
8
32
32
8
8
8
8
8
8
0
0
0
0
0
4
0
0
8
8
0
0
16
16
2
8
8
24
0
1
16
0
8
8
8
8
8
24
24
8
0
8
16
16
4
12
8
8
0
0
0
8
16
1
8
4
4
8
8
8
8
8
16
16
48
0
12
8
8
34
34
2
9
8
16
4
6
0
0
8
1
0
16
8
8
0
18
0
0
0
16
16
0
8
0
0
0
16
16
24
8
16
16
16
0
16
16
0
0
0
40
0
0
0
0
0
0
8
0
0
0
8
8
16
16
8
8
0
0
2
12
12
0
0
0
8
0
0
8
0
8
8
0
0
32
0
0
4
0
17
8
8
0
8
8
16
16
0
0
8
16
16
4
9
9
0
16
16
16
0
0
0
0
8
16
18
2
2
16
16
8
8
8
0
16
8
16
16
6
0
0
0
0
20
20
20
8
8
8
8
8
0
0
0
2
0
0
0
0
8
8
8
8
8
8
8
0
16
16
5
25
17
17
17
17
17
8
8
8
0
0
0
1
1
0
0
0
16
0
0
0
0
32
8
2
0
4
16
8
8
8
8
8
8
0
0
0
0
0
16
16
16
12
4
4
0
8
4
8
0
4
4
0
0
0
0
0
2
2
29
29
16
8
8
36
8
8
8
8
8
8
16
16
16
16
0
4
4
4
1
1
1
5
1
1
33
1
9
8
0
0
0
0
0
1
1
1
4
4
24
24
8
8
4
16
16
0
16
8
4
0
0
0
0
0
0
0
1
8
16
0
0
8
8
8
8
8
0
16
16
0
0
16
16
8
10
10
8
8
8
8
0
0
0
0
0
8
0
0
0
8
8
8
14
4
8
8
8
8
8
0
0
0
8
12
16
16
16
16
16
8
16
16
16
0
0
0
0
0
4
8
0
0
0
40
32
13
16
16
8
8
0
0
8
8
0
0
0
2
4
16
0
0
0
16
0
0
0
24
24
16
4
4
4
0
0
0
4
4
4
0
16
16
16
0
24
24
8
8
8
8
8
8
8
0
24
24
8
8
8
0
0
0
0
0
0
0
1
2
8
8
0
0
16
16
16
16
0
8
8
8
1
24
0
0
8
1
1
1
8
8
25
0
0
0
16
16
16
24
4
4
4
2
2
16
16
16
0
32
16
2
0
0
0
0
8
8
0
16
16
24
2
2
16
8
24
0
0
8
2
0
9
9
4
4
0
0
16
16
16
2
2
8
8
8
8
8
8
8
2
16
8
8
0
2
2
16
10
10
10
10
4
2
2
4
8
8
8
16
1
0
0
0
8
0
0
16
4
0
0
0
8
8
0
0
0
0
0
0
16
8
8
8
0
0
0
0
0
0
0
16
16
16
16
16
16
16
8
10
10
2
0
0
0
0
24
26
8
8
0
4
2
2
0
1
1
8
8
0
16
1
1
2
32
0
1
1
8
8
4
8
8
8
0
0
8
4
0
0
0
0
0
8
24
16
8
8
8
16
16
16
16
16
16
0
0
0
16
16
16
32
16
16
16
8
0
0
0
16
16
8
8
0
0
0
0
0
16
0
0
0
25
4
4
0
0
0
0
0
0
0
0
0
8
16
16
16
16
16
0
8
0
8
8
8
0
0
0
0
16
16
1
8
8
0
0
0
8
0
0
8
8
0
0
8
4
8
8
16
0
0
8
8
0
0
8
8
16
16
8
8
8
0
8
16
49
2
2
0
8
8
8
8
8
8
51
32
32
16
24
16
16
0
8
8
0
16
32
32
16
16
0
0
8
8
8
12
8
4
0
0
0
0
0
0
0
2
24
17
12
12
12
0
0
0
0
0
0
0
0
8
8
8
8
8
32
16
16
0
0
8
0
8
8
0
0
0
4
2
0
0
0
16
0
1
0
8
0
0
0
8
8
8
17
8
0
12
0
0
0
8
0
16
16
16
0
12
13
8
0
16
16
16
16
16
32
16
16
24
24
8
0
8
8
16
0
0
4
0
8
8
0
0
0
0
17
28
28
28
28
28
28
32
32
32
0
8
4
0
1
0
16
16
0
0
8
8
8
8
8
0
1
0
0
0
0
8
8
0
16
16
8
0
0
8
8
8
8
8
0
2
0
0
8
8
0
0
1
4
8
8
4
8
8
0
0
8
2
0
0
4
4
4
4
0
24
8
4
4
4
16
16
16
16
16
0
0
16
24
8
25
0
3
3
16
8
8
0
0
0
0
1
2
2
2
2
2
2
8
8
16
1
1
1
1
1
8
32
4
4
0
0
0
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
8
16
16
16
8
32
0
0
0
0
8
8
8
0
0
18
2
8
16
16
16
16
8
8
8
1
8
0
0
0
0
0
8
8
4
4
4
4
0
16
16
16
16
8
16
32
32
9
9
9
9
9
9
8
24
0
0
0
0
0
1
0
6
13
8
2
2
2
0
0
0
32
32
16
8
8
8
8
8
8
8
8
2
0
8
8
16
16
16
16
16
0
4
4
4
16
0
8
0
0
0
2
8
8
0
0
0
0
0
0
1
1
8
16
0
0
0
0
16
16
16
16
16
0
0
4
0
8
8
8
8
32
29
16
16
8
8
32
0
0
1
1
16
16
1
21
4
4
4
8
8
0
8
8
8
19
19
19
16
8
8
8
16
0
0
0
16
0
0
0
8
0
16
8
34
34
0
0
34
32
32
32
0
28
28
12
12
12
0
32
16
0
8
2
2
16
16
16
16
0
1
0
34
16
16
16
0
0
16
24
24
24
24
24
24
0
16
0
0
0
8
8
0
0
2
8
8
8
16
24
8
8
8
8
16
16
1
1
1
1
0
0
0
0
8
8
0
8
8
0
0
4
4
0
0
0
0
0
0
0
0
16
0
0
16
16
4
8
8
8
8
0
0
8
8
16
0
0
0
0
8
0
0
8
8
8
0
0
0
16
23
2
0
0
0
0
0
0
0
6
6
6
16
16
0
0
16
16
16
0
0
2
8
8
0
8
8
8
24
20
20
20
16
16
16
24
24
8
8
8
0
0
16
4
0
0
16
16
16
8
8
8
16
16
8
8
8
8
5
5
16
16
32
16
16
0
0
8
8
8
8
16
16
13
16
8
0
0
8
0
4
8
8
8
8
0
0
0
0
0
8
8
12
4
4
0
10
0
0
0
8
0
0
8
40
32
32
16
0
0
0
8
0
0
6
6
6
6
0
1
1
8
8
8
8
8
0
0
8
8
8
0
16
16
16
20
16
8
0
8
8
8
8
16
16
16
0
8
8
0
8
0
8
8
8
0
0
8
8
8
1
8
4
0
0
0
0
0
0
0
0
0
0
0
32
16
16
8
8
2
0
2
2
16
8
0
0
0
0
0
0
0
16
16
16
0
1
16
16
16
8
6
8
8
8
8
8
16
0
8
1
1
1
1
1
1
8
8
0
0
8
18
16
8
16
16
16
16
16
16
16
16
16
0
0
2
16
16
16
16
16
16
0
0
8
8
8
16
8
0
0
8
8
16
16
16
0
16
0
32
0
0
16
16
0
0
1
1
4
0
0
8
8
8
6
6
6
6
6
16
16
0
2
16
8
8
8
8
0
0
16
16
16
16
16
16
0
24
25
24
16
24
0
17
17
0
8
0
0
0
4
24
2
2
16
16
0
8
7
1
0
8
16
16
16
16
16
17
17
24
16
16
0
24
0
0
0
1
1
0
0
0
8
0
0
0
16
24
24
24
24
0
16
8
8
8
8
8
0
0
1
1
1
0
4
4
4
4
0
4
18
18
16
8
8
37
0
16
0
0
0
16
16
40
40
40
4
4
0
0
0
0
0
16
8
4
4
4
0
0
0
4
8
24
24
0
1
16
16
8
1
0
0
0
0
0
2
2
0
0
0
0
32
32
32
8
8
8
16
16
16
8
2
16
18
18
0
8
0
0
0
8
8
8
8
24
0
0
0
8
8
8
8
16
16
8
8
0
1
1
1
0
8
0
0
0
18
8
0
20
20
16
16
16
0
20
20
20
0
0
0
50
0
8
56
56
8
3
0
0
0
0
16
0
0
4
1
16
16
16
4
4
0
0
8
8
8
16
0
0
0
0
0
0
2
2
8
8
8
8
4
0
0
0
0
16
6
0
0
0
0
8
8
8
8
8
8
0
4
0
1
1
8
8
8
8
8
8
8
0
0
0
16
16
16
8
8
0
0
0
0
8
8
8
16
16
0
0
8
8
0
20
0
0
10
10
10
8
0
0
8
8
8
8
8
8
0
8
16
18
8
25
8
19
19
2
2
2
2
0
0
4
16
16
16
0
4
2
2
16
16
8
0
16
16
8
16
0
0
0
0
0
0
1
8
8
12
4
4
0
0
4
4
0
8
8
8
0
16
16
8
8
16
0
0
0
16
16
0
8
8
8
8
8
16
16
0
16
16
16
16
20
2
4
4
4
16
0
0
8
4
8
8
20
20
0
0
0
0
0
0
0
16
16
8
8
8
8
8
16
16
0
0
0
0
0
0
0
16
8
8
4
8
8
8
8
8
8
16
4
4
0
0
8
16
0
16
16
16
16
16
0
4
4
0
0
0
0
16
8
8
8
8
8
4
8
0
2
2
8
8
17
0
16
16
16
16
0
0
2
10
10
10
10
10
17
0
0
0
0
0
24
8
24
0
0
0
0
1
4
4
4
4
1
1
1
0
9
9
8
8
8
1
1
2
8
8
8
8
8
8
0
0
2
2
0
0
0
0
0
0
2
0
0
0
8
0
0
0
8
0
0
1
1
8
8
0
0
0
0
10
2
16
16
8
8
50
16
24
1
0
8
0
2
8
24
4
1
4
8
0
0
16
0
1
0
0
16
16
0
0
0
8
8
8
8
0
32
32
32
32
8
8
40
1
1
0
0
17
16
16
16
8
4
4
0
16
16
0
1
8
16
2
2
16
16
0
0
0
2
2
0
0
0
8
24
8
0
32
8
8
20
0
0
34
8
58
16
0
0
0
16
16
16
16
8
16
16
16
2
16
0
0
0
0
16
16
32
32
32
32
8
8
8
8
0
42
0
8
8
8
8
8
8
0
8
8
8
8
8
0
0
0
0
0
8
8
8
4
4
1
1
1
1
1
4
27
8
0
17
17
4
1
1
1
0
32
8
0
0
0
0
32
0
0
8
16
8
8
2
2
16
16
16
16
8
8
8
8
8
8
16
16
32
16
16
0
0
0
0
0
0
1
1
8
8
0
4
4
4
16
24
24
8
8
0
8
0
0
8
17
2
2
2
2
2
0
8
8
0
0
0
32
8
8
8
8
16
16
16
0
0
0
0
0
0
8
8
0
6
6
0
8
0
0
0
0
33
8
8
16
16
16
24
8
8
2
8
4
4
4
28
0
8
8
8
8
8
2
2
2
1
1
16
16
8
0
0
0
0
0
4
4
16
16
0
8
0
16
16
16
4
0
0
0
0
16
1
0
2
2
0
8
4
4
5
0
8
8
0
16
22
16
0
32
40
4
0
12
0
20
20
20
16
16
0
0
1
1
1
0
16
16
16
0
16
16
16
16
16
16
16
0
0
0
0
0
0
8
8
0
49
48
48
8
12
32
32
8
8
8
8
0
1
0
0
8
8
0
0
8
1
1
32
36
24
18
2
1
1
1
16
16
1
10
16
2
0
0
8
8
0
0
0
0
0
8
8
8
8
16
4
32
8
8
24
24
8
16
16
16
0
0
8
8
8
8
0
0
0
0
0
0
1
4
4
8
4
4
0
12
4
0
8
8
8
20
8
1
1
24
8
0
0
0
16
9
0
16
8
8
2
0
16
16
24
24
16
0
0
8
8
0
8
8
8
8
8
8
8
8
8
8
8
1
0
16
0
2
8
0
0
0
0
0
8
8
8
8
0
0
1
52
52
0
6
6
0
0
23
23
8
8
8
32
20
5
0
0
8
8
8
8
8
8
8
8
8
8
8
0
0
2
0
8
4
0
0
0
0
8
16
16
16
16
16
16
16
16
8
8
4
0
24
2
0
16
16
10
4
25
9
41
41
16
16
8
8
8
32
16
48
48
24
28
28
0
8
0
0
8
0
0
0
0
0
0
0
0
0
1
0
0
0
8
8
8
8
4
2
4
4
32
0
0
0
0
0
0
0
0
0
0
0
0
0
8
16
8
8
16
16
8
0
0
0
0
8
9
8
0
0
0
0
32
48
48
48
48
48
8
18
18
0
0
0
0
0
0
0
0
0
0
0
4
0
1
1
32
8
0
0
17
16
18
16
24
8
18
32
32
8
0
0
0
16
16
0
16
16
9
9
0
0
16
8
8
8
2
8
0
6
0
0
0
16
16
16
4
4
16
0
0
0
0
28
8
8
8
8
8
0
0
24
8
16
16
16
16
16
0
0
0
16
16
16
0
33
1
0
8
8
24
1
8
18
16
16
16
16
8
8
0
0
8
0
20
24
16
8
8
24
8
8
8
8
8
8
32
18
0
0
16
16
16
4
20
8
8
0
0
0
16
16
24
16
16
8
8
8
2
18
18
18
16
0
0
0
17
17
17
8
8
16
16
1
16
16
0
16
16
18
0
0
0
8
8
8
0
8
16
16
1
0
0
0
0
0
4
4
1
8
8
8
0
2
0
0
0
0
4
4
22
4
8
0
16
16
24
0
0
0
0
18
18
18
8
24
24
8
16
16
8
0
16
0
0
32
32
32
4
4
16
16
16
16
16
4
8
8
8
8
16
16
2
17
0
8
0
0
2
2
0
9
8
4
0
16
0
0
0
32
32
32
32
4
4
4
4
16
16
16
2
0
0
24
0
2
8
8
8
4
4
0
0
16
16
0
0
1
0
0
1
1
0
24
8
32
0
2
2
2
4
8
8
8
4
4
32
32
16
0
0
0
0
8
0
0
0
16
0
0
2
0
0
18
16
2
0
4
4
4
8
8
8
8
0
16
16
16
8
8
4
4
4
16
16
16
16
8
0
0
16
16
16
8
41
41
41
0
8
16
20
20
0
4
4
20
4
16
16
16
44
44
44
24
24
24
24
0
0
3
3
0
8
0
0
0
8
8
8
28
8
8
8
8
0
2
0
0
9
0
0
6
6
6
6
2
8
0
8
8
0
0
0
1
1
16
8
16
16
28
0
0
0
0
8
0
0
0
8
12
8
1
1
1
1
40
10
10
10
10
8
8
8
8
0
0
6
1
18
18
0
20
2
2
0
0
0
0
2
0
0
8
8
8
8
8
0
0
0
32
0
0
0
0
0
0
0
0
0
16
8
4
4
0
1
8
8
8
8
0
16
16
16
16
16
16
16
0
0
0
16
16
0
0
0
32
32
16
0
0
0
0
9
1
0
1
1
0
0
0
24
8
8
0
0
32
8
8
8
0
0
24
24
0
4
4
2
4
0
4
8
28
1
2
8
8
8
8
0
0
16
8
16
16
16
16
0
0
0
0
32
4
4
8
0
0
8
8
8
8
8
8
8
8
0
4
16
16
20
20
0
0
8
8
8
16
4
4
2
8
8
1
16
0
0
8
8
0
4
0
0
8
8
8
0
0
2
1
1
2
2
2
0
6
8
0
4
4
0
0
40
0
0
0
0
16
0
0
0
0
24
0
42
0
0
0
0
8
8
8
4
8
2
2
1
0
9
1
9
1
1
1
1
0
8
16
0
0
2
2
8
16
16
4
8
8
16
16
0
0
0
0
16
8
0
0
0
0
0
0
0
0
0
0
16
8
9
9
9
8
0
16
16
0
4
0
0
2
8
0
4
0
0
0
17
8
2
0
0
0
16
16
32
16
0
0
16
8
0
8
8
0
4
3
0
0
4
16
16
16
16
16
16
16
0
0
0
8
8
8
8
8
0
0
0
16
16
0
1
1
0
24
0
0
28
9
8
8
8
4
4
0
4
4
20
0
0
19
19
19
8
8
8
0
1
1
13
0
22
22
8
8
0
0
0
1
0
0
0
8
16
16
16
16
8
8
8
32
32
0
16
9
16
8
8
16
18
2
2
56
56
56
24
24
0
0
2
16
0
0
34
1
1
1
1
8
8
4
8
4
4
1
1
1
0
8
0
0
0
8
0
0
0
0
8
8
8
8
0
16
16
16
16
16
16
16
8
0
0
0
0
0
20
16
16
2
2
2
0
12
0
16
1
4
4
0
0
0
4
0
16
8
16
16
16
16
0
0
17
16
16
16
16
16
16
16
0
0
0
0
4
24
0
0
2
0
0
0
16
16
16
0
8
32
0
8
8
0
20
20
20
1
33
33
0
0
8
32
8
8
8
8
16
16
0
24
1
1
0
0
0
0
0
0
8
8
0
0
0
4
2
0
0
0
11
8
16
16
16
16
0
12
8
32
32
2
2
2
2
0
4
4
4
8
8
2
2
2
28
16
0
8
8
0
10
10
10
0
8
8
16
0
0
16
8
0
8
8
0
33
1
1
18
8
8
0
0
16
8
8
0
8
8
2
18
2
24
4
4
0
0
0
8
8
8
8
8
8
4
8
0
0
2
2
2
2
2
16
8
16
16
8
24
8
8
24
8
8
8
8
0
16
8
8
16
16
16
4
4
4
4
8
8
8
0
0
0
0
0
0
0
0
0
8
8
8
8
8
32
0
1
1
0
16
16
0
24
16
6
16
16
18
18
0
0
0
0
4
4
2
2
2
24
0
32
32
16
16
16
16
16
8
8
8
8
0
4
4
0
8
8
0
0
0
0
0
0
0
9
9
56
56
56
8
44
8
0
0
8
8
8
0
0
0
4
4
4
4
0
0
9
9
9
0
0
10
10
10
28
8
8
2
4
0
0
0
0
0
16
16
16
8
8
40
16
2
0
0
0
0
16
16
8
8
8
16
16
0
0
8
8
0
32
0
0
2
0
0
0
16
16
2
8
8
32
18
0
8
8
21
21
0
0
1
12
8
8
8
0
0
0
8
8
8
8
28
0
0
8
8
7
2
2
2
1
0
0
16
0
24
8
0
8
12
12
0
0
0
0
0
0
0
0
0
8
0
0
0
0
36
4
4
4
0
0
8
8
0
2
0
0
0
8
8
8
0
18
16
0
0
25
25
25
25
25
25
25
16
16
8
8
0
16
16
16
16
16
4
2
8
32
32
24
0
4
4
0
32
0
0
8
8
16
0
1
1
8
8
0
0
8
8
0
0
16
1
16
8
16
8
8
16
8
25
0
0
32
0
0
17
16
8
8
0
0
9
0
1
8
8
8
0
16
0
33
24
24
16
8
8
0
0
16
8
8
8
8
8
0
24
24
24
4
4
4
4
4
4
4
16
16
2
8
8
8
8
8
8
2
2
0
0
16
16
16
0
0
8
0
4
0
16
0
0
8
8
0
0
8
8
16
8
16
8
8
8
16
8
8
0
0
16
16
16
0
0
0
0
16
16
18
1
1
1
24
2
2
0
0
24
8
0
0
48
16
16
16
16
16
16
16
0
16
0
0
12
4
0
0
0
0
4
4
8
8
8
0
16
24
4
4
4
4
8
0
16
0
0
8
8
0
0
0
32
48
56
5
5
16
48
2
2
8
0
0
8
16
0
0
0
0
8
8
4
2
33
24
24
8
0
0
0
0
0
0
8
8
4
16
16
8
8
0
16
16
16
16
1
10
16
16
0
0
2
2
1
8
0
0
8
0
8
8
8
8
0
0
0
0
0
0
0
0
0
8
8
8
10
8
16
0
2
0
0
24
24
8
8
24
24
4
9
9
0
0
0
0
16
16
16
16
8
8
8
8
0
8
8
0
0
8
8
0
8
8
8
16
0
8
8
8
8
24
22
22
22
0
0
0
0
16
8
8
8
8
8
8
0
16
4
17
8
8
8
0
8
0
0
0
8
8
8
8
24
8
13
13
8
8
16
16
34
34
0
0
0
0
1
1
8
28
28
2
2
0
0
16
8
16
16
16
4
4
0
0
0
8
0
0
0
0
0
0
0
8
0
8
8
8
0
0
8
8
8
0
0
0
16
0
0
0
16
2
4
2
27
27
27
27
27
27
0
0
8
20
20
20
0
8
26
26
8
2
2
16
16
16
16
16
40
40
40
0
1
1
1
2
4
0
0
0
17
17
0
0
0
2
2
2
2
2
4
4
4
0
0
2
0
0
8
8
0
2
2
32
32
8
8
8
8
8
1
0
0
16
24
2
2
2
2
0
4
4
4
4
4
4
4
0
8
8
8
0
0
0
1
0
8
32
32
1
1
0
0
0
0
0
0
0
0
16
16
16
16
16
16
4
0
8
8
8
16
8
8
0
0
0
0
0
0
0
0
1
2
2
0
16
16
16
0
4
13
13
8
8
0
0
0
0
0
0
8
8
8
4
32
6
6
32
32
4
4
4
4
4
4
4
0
0
4
0
16
16
1
8
0
0
0
8
16
16
16
16
0
16
16
0
1
1
1
1
1
0
8
0
0
0
0
0
4
4
4
4
8
1
9
0
8
8
16
16
24
16
8
0
9
0
0
1
0
0
1
1
1
1
1
1
4
4
4
8
0
0
0
8
8
8
0
0
0
0
8
4
4
0
0
0
24
16
16
8
8
8
0
16
0
1
1
8
8
0
2
2
2
2
8
8
8
8
0
8
0
0
24
24
24
0
4
4
0
0
8
8
8
8
8
16
16
16
8
2
2
2
2
0
1
8
8
0
0
8
8
0
16
8
8
8
0
0
32
16
24
8
8
4
8
16
1
12
8
9
8
8
8
0
16
24
18
18
0
8
2
2
2
0
0
0
2
4
18
0
12
0
0
0
0
0
0
0
16
8
8
8
8
0
0
8
8
8
8
8
8
8
8
8
8
14
0
0
0
0
0
4
4
4
16
16
16
0
0
38
0
0
0
0
34
0
16
4
1
1
1
1
1
1
16
4
4
16
8
0
0
0
16
16
16
16
16
16
0
0
8
8
16
16
0
0
0
0
0
8
16
4
8
32
0
8
16
8
8
8
16
32
16
0
0
0
24
24
4
0
16
0
0
16
0
0
0
0
0
0
0
0
24
24
8
0
0
9
9
8
8
0
20
0
0
8
16
16
0
0
0
0
0
0
8
0
0
8
8
8
8
8
8
8
8
0
4
16
16
1
1
1
1
1
24
0
0
0
1
0
1
1
1
24
16
0
0
0
0
8
8
8
8
4
1
1
0
8
0
32
32
32
8
0
0
0
0
16
16
0
0
0
0
8
20
0
0
8
32
32
8
8
8
8
8
2
2
2
8
0
16
0
2
2
2
16
16
16
16
16
8
8
16
1
0
8
8
16
16
16
8
8
8
8
8
16
16
8
0
8
8
8
8
8
8
8
8
8
0
0
8
0
0
0
0
0
0
4
0
0
2
2
0
4
8
0
0
0
8
16
16
16
1
1
0
24
32
32
49
48
1
0
0
0
8
0
0
0
8
16
16
16
16
16
1
8
8
0
0
8
8
8
8
0
0
0
8
0
4
0
0
0
18
0
0
8
8
8
8
8
8
0
16
34
34
16
4
4
4
8
0
0
0
8
32
32
32
9
4
16
16
0
16
16
16
16
0
0
22
22
22
22
16
16
16
0
24
4
0
8
8
0
0
1
8
1
20
0
1
1
1
1
4
0
0
0
0
0
8
0
0
0
0
2
0
8
8
8
32
0
16
32
8
8
16
32
32
0
5
5
5
5
5
1
17
16
0
0
0
8
8
8
8
8
8
8
8
8
8
8
16
0
0
0
0
0
0
51
0
0
1
0
0
4
4
0
0
0
16
24
24
24
24
18
32
32
32
32
32
0
25
25
0
8
8
0
0
22
0
16
16
8
0
0
16
0
0
4
4
16
0
0
0
0
0
0
0
0
4
0
4
8
16
24
8
8
8
8
1
0
0
8
8
8
4
34
40
40
1
1
1
1
1
1
57
8
16
0
0
0
0
8
8
27
8
8
0
2
2
1
1
1
0
0
16
16
0
0
0
17
1
8
8
8
0
4
1
0
8
8
2
2
4
0
0
0
18
18
1
4
4
4
4
0
0
8
8
8
0
0
0
0
0
0
4
4
16
16
2
2
2
2
2
4
8
8
8
4
4
4
4
4
0
0
0
0
0
8
6
6
4
24
0
0
0
8
16
16
1
8
0
32
0
18
18
32
32
32
32
32
32
0
8
8
0
0
0
0
12
4
4
4
4
4
4
4
0
8
8
8
8
8
8
8
0
20
8
0
0
0
0
0
0
0
0
0
0
2
2
16
1
1
24
24
4
4
8
18
9
8
8
0
4
0
8
8
8
8
2
4
0
0
0
0
0
0
4
0
1
8
0
0
0
0
0
1
3
3
4
0
8
8
8
0
0
0
0
0
0
16
16
16
2
18
0
0
0
0
0
0
0
0
0
0
0
16
8
8
16
2
1
9
0
0
0
12
8
32
16
16
16
16
16
16
0
16
0
8
8
2
0
0
0
0
2
2
24
0
0
24
16
16
16
0
8
0
0
24
0
0
0
0
0
0
18
18
0
24
0
0
0
0
0
16
4
0
0
0
0
0
8
8
8
8
0
17
4
0
0
0
0
0
0
0
8
10
10
10
10
2
2
2
8
8
4
4
4
4
4
0
6
8
8
0
16
16
16
16
8
16
8
8
8
8
8
16
16
16
0
0
0
1
1
1
0
0
0
0
8
8
2
32
16
16
1
1
1
8
8
48
0
0
0
32
0
0
0
0
0
2
0
16
16
8
8
8
4
4
4
4
9
16
16
20
0
8
0
0
0
0
8
32
32
16
0
0
8
0
0
0
16
1
2
8
0
16
16
16
0
0
8
8
8
6
0
44
44
16
0
8
2
17
17
0
8
16
0
0
0
0
16
16
4
8
0
4
8
0
0
0
0
0
0
8
8
1
1
1
2
16
16
4
0
1
28
24
24
24
24
0
0
0
0
8
8
32
32
52
8
0
8
0
0
0
0
0
1
1
8
8
4
1
0
8
0
0
21
8
8
4
0
2
0
0
0
24
24
24
24
8
8
8
8
4
16
16
16
16
24
8
8
8
0
1
2
2
2
0
0
0
0
3
0
8
8
4
8
8
0
8
8
8
0
0
16
16
16
4
4
4
4
4
16
2
8
0
0
4
4
4
16
8
8
8
1
8
8
1
1
1
0
16
16
16
16
0
16
16
32
32
4
16
16
16
16
16
16
8
0
12
0
0
1
8
25
4
0
8
8
16
0
16
16
16
16
0
0
16
32
0
24
4
4
4
8
37
0
0
16
0
0
28
1
20
20
32
0
16
16
16
20
0
0
16
16
1
1
0
24
2
2
16
16
16
1
8
8
0
0
0
0
0
0
0
0
16
16
16
16
8
8
8
0
0
0
0
16
16
0
0
0
8
0
0
0
0
0
0
0
14
14
0
16
16
0
0
16
8
4
5
0
0
0
0
0
0
32
8
0
16
16
16
16
16
16
16
16
0
0
8
8
0
4
4
4
16
0
8
8
8
16
23
23
8
8
3
8
8
8
4
20
6
6
6
26
26
26
26
16
16
8
8
24
8
0
0
0
0
0
8
8
8
0
34
4
4
4
0
27
27
16
2
2
8
8
24
24
24
8
0
0
0
0
0
24
0
0
8
1
1
18
8
4
4
8
0
8
8
8
8
2
6
2
8
8
16
0
0
2
2
0
8
0
16
16
16
2
2
2
0
20
8
8
1
2
2
8
8
8
8
8
8
0
0
0
32
32
0
0
0
0
3
12
4
8
0
16
8
0
8
16
16
0
0
0
0
8
8
8
8
8
8
1
8
8
0
9
4
4
4
4
4
0
1
1
4
16
16
1
41
2
41
8
8
8
8
8
16
24
16
8
4
0
8
8
8
2
2
0
0
16
16
48
48
4
4
32
32
32
32
32
0
0
0
4
16
1
1
0
8
8
4
4
16
16
0
0
0
0
0
0
16
16
16
16
16
16
16
2
1
8
0
0
0
0
0
4
4
4
4
4
0
8
8
0
0
0
0
16
16
8
8
0
2
2
2
2
0
0
0
0
0
4
4
4
8
0
16
16
0
4
4
4
4
4
24
8
8
8
0
0
0
0
16
16
2
2
4
0
4
4
1
8
8
8
0
0
0
0
0
8
8
40
40
8
8
8
0
16
16
10
0
0
0
0
0
0
0
0
9
4
8
8
0
8
0
16
16
16
0
4
4
8
20
0
0
4
4
0
8
8
8
4
16
1
1
0
16
16
16
8
8
0
1
8
16
0
1
1
16
1
16
16
16
24
16
16
16
16
0
0
0
0
52
52
0
8
8
8
8
8
8
8
8
8
16
8
16
16
16
0
1
32
16
16
16
16
0
8
16
16
0
0
0
16
16
20
20
8
8
8
8
8
8
18
18
2
2
2
0
0
0
0
0
8
8
8
4
4
4
4
24
16
8
0
0
8
0
0
8
8
8
0
2
2
0
0
4
16
0
24
8
8
8
4
4
4
8
8
8
0
0
16
24
0
0
16
8
8
8
16
16
8
8
8
0
0
0
0
16
2
2
0
0
0
0
0
0
16
2
2
0
0
0
0
16
16
16
0
2
0
0
0
0
0
0
0
8
16
16
8
8
16
8
8
8
0
8
0
16
16
2
2
2
4
12
0
0
0
0
0
0
0
32
32
0
0
8
8
0
1
16
0
0
9
8
8
0
8
8
8
8
8
8
0
36
0
8
8
8
8
0
16
16
16
16
16
16
0
9
1
1
1
1
1
0
12
8
8
8
8
1
1
8
0
16
16
15
16
0
0
0
0
0
0
0
2
2
2
2
16
1
17
17
17
0
2
9
16
0
0
0
0
0
0
0
0
4
8
8
8
8
0
0
0
16
2
0
16
16
2
4
4
0
0
1
1
8
8
8
8
8
16
16
16
4
8
1
16
0
2
13
16
16
19
4
6
16
16
16
16
0
2
2
2
8
8
8
8
1
1
4
12
21
21
4
4
0
16
0
8
4
16
16
16
16
10
10
0
8
0
8
2
2
8
8
16
16
0
8
8
0
0
2
2
2
2
2
2
8
56
16
4
0
1
1
0
0
0
8
8
1
1
0
4
0
35
0
0
0
0
0
16
32
0
8
8
0
1
1
8
4
4
4
4
24
1
1
8
0
0
0
4
2
2
24
24
24
24
24
0
8
8
8
8
8
4
0
0
16
8
0
4
4
24
0
1
8
0
0
8
8
0
0
0
29
29
4
4
0
0
0
0
0
0
0
0
12
0
8
8
8
8
0
16
4
4
4
4
4
16
8
8
8
8
16
0
2
2
2
2
19
19
0
8
8
0
0
8
8
0
0
8
8
8
8
0
32
1
1
8
20
20
20
0
0
0
0
0
16
16
16
16
8
1
1
12
12
12
0
0
0
44
8
24
16
16
16
16
16
0
0
0
24
42
2
2
8
8
8
16
16
16
24
24
8
4
0
28
8
4
0
8
8
8
16
8
9
9
0
16
0
19
3
3
0
0
8
8
8
0
0
16
16
0
8
4
2
8
8
8
8
8
8
8
16
16
0
16
0
0
0
0
0
0
20
20
20
4
4
4
1
1
1
0
0
0
0
4
4
8
1
1
1
1
2
2
2
0
0
0
8
16
0
0
0
1
16
16
16
8
16
32
8
1
1
4
4
4
4
4
4
4
8
0
1
1
8
16
16
0
25
32
2
0
0
0
16
0
16
16
16
16
16
16
10
0
8
2
2
0
16
8
8
8
0
16
16
0
24
24
24
16
16
2
1
24
0
0
2
16
0
0
0
4
4
4
4
0
16
0
0
0
1
0
1
0
21
0
1
0
0
0
8
8
16
16
16
8
0
0
8
8
4
0
4
4
4
16
16
8
9
0
0
0
8
32
32
0
8
8
0
8
4
0
0
1
4
8
8
0
40
20
2
33
12
12
12
0
4
1
1
1
8
0
0
8
8
8
0
8
0
16
16
0
0
16
16
4
0
0
2
8
0
0
0
8
8
8
8
8
0
4
0
4
0
0
8
8
0
16
16
32
16
18
0
32
8
0
32
0
0
8
0
0
0
0
0
1
1
1
8
8
2
0
0
4
0
0
0
8
0
16
16
1
2
8
8
1
1
1
1
1
1
8
8
8
8
16
0
0
0
32
24
1
30
0
4
4
20
8
4
4
16
16
0
0
0
0
2
2
2
8
8
8
8
8
8
8
16
24
16
8
8
0
8
0
1
1
1
0
8
8
8
8
8
40
40
8
8
8
8
8
8
16
2
2
1
1
32
4
0
0
8
8
8
8
0
18
0
0
1
0
24
0
16
8
8
32
32
32
0
0
0
0
0
24
24
24
8
2
0
0
0
0
0
9
1
0
1
4
4
8
0
12
0
0
0
0
16
16
20
8
0
4
4
25
16
0
1
8
0
0
0
16
16
16
16
16
16
16
6
4
4
4
17
0
0
2
2
8
0
0
0
8
32
32
0
8
0
0
0
0
0
0
24
8
0
1
4
16
16
16
8
1
8
40
40
8
8
8
8
8
24
24
4
4
0
0
0
1
8
0
0
0
16
16
4
16
16
0
1
4
4
0
0
0
8
16
8
8
32
0
8
0
0
0
16
16
1
1
0
0
2
2
2
8
8
16
1
1
13
13
13
4
4
0
0
0
0
0
0
8
8
8
8
32
0
0
28
4
8
16
16
16
0
0
8
0
8
8
16
16
16
16
16
16
16
16
0
0
0
0
0
2
1
1
0
0
0
48
48
16
16
16
0
16
16
16
16
16
0
8
8
8
1
1
0
4
4
16
16
0
9
0
0
16
0
1
0
0
0
20
20
20
20
4
6
9
9
9
8
0
16
0
0
1
1
0
8
8
16
16
0
0
0
0
24
16
2
8
8
0
16
16
0
0
0
32
0
0
0
4
8
8
8
16
0
0
0
16
4
0
0
0
0
4
4
24
24
16
17
17
8
16
1
1
4
4
4
4
4
4
0
9
0
0
0
0
40
0
8
8
8
8
8
8
1
1
8
16
1
1
8
0
0
0
0
16
16
8
24
8
8
0
8
8
1
1
1
1
1
0
0
8
8
16
0
12
12
12
4
4
4
4
16
2
4
16
16
8
0
16
0
0
16
8
8
8
8
0
0
16
16
16
0
0
1
1
32
32
32
0
0
0
8
8
8
8
8
40
16
16
16
16
16
8
0
0
0
4
4
8
2
0
8
16
8
16
16
16
16
8
20
8
28
8
24
25
32
32
32
10
16
20
8
1
1
1
1
1
1
24
8
8
8
17
8
8
0
0
0
0
0
8
0
0
0
0
0
8
0
16
16
16
16
16
0
8
0
1
0
0
6
6
8
4
8
8
24
0
0
0
0
0
0
0
0
5
0
16
8
16
16
16
0
0
0
0
0
16
20
0
0
0
0
0
0
0
2
0
0
4
0
0
21
1
1
8
8
8
8
1
1
1
16
16
4
0
0
0
0
0
0
16
0
9
8
0
0
16
16
0
0
24
32
17
17
17
17
4
0
0
0
0
0
0
0
16
16
8
16
16
16
1
0
1
1
0
8
0
0
0
32
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
8
8
0
0
16
4
8
8
0
2
2
42
0
0
0
0
16
0
0
8
8
8
8
0
0
0
28
32
60
16
24
16
16
16
16
16
4
4
4
2
0
8
8
8
8
8
1
12
8
0
0
5
16
4
16
1
1
0
0
0
4
4
4
32
32
32
32
32
0
16
16
16
4
2
2
2
2
16
0
1
1
6
8
17
41
41
0
0
0
0
0
0
0
8
8
32
32
32
0
0
0
0
0
4
8
8
8
10
16
16
8
8
16
16
16
0
0
8
8
16
0
20
20
20
20
20
5
1
1
1
0
8
8
4
8
32
8
0
8
8
28
8
8
8
30
0
16
16
8
0
0
0
0
0
0
0
2
0
1
16
32
32
4
8
8
0
0
8
8
8
8
8
8
8
8
8
16
16
16
16
0
1
1
8
8
0
17
8
8
8
8
0
0
0
0
4
4
0
0
16
4
4
20
16
16
16
2
2
2
0
0
0
0
1
0
0
0
4
2
2
8
16
16
16
16
0
4
0
0
0
4
4
4
0
4
4
4
4
0
0
0
28
28
28
1
1
1
1
1
16
1
0
0
1
0
0
0
0
0
0
0
0
8
0
0
0
0
8
8
32
8
1
1
24
24
25
2
14
33
33
33
0
0
32
32
8
2
2
2
4
4
0
8
16
16
16
0
0
0
0
0
0
8
8
20
20
16
4
20
0
16
16
0
1
1
8
0
16
4
4
4
0
0
8
20
1
1
1
1
16
0
4
32
8
0
8
20
4
8
8
0
8
8
0
0
16
16
2
16
8
8
8
8
8
8
8
0
16
16
16
16
16
16
4
4
20
4
4
4
4
2
0
0
0
8
4
8
8
8
0
19
19
24
16
16
16
1
8
16
3
16
0
4
0
2
2
2
2
0
8
0
0
8
16
16
16
16
16
16
16
16
16
16
16
16
8
16
16
24
0
0
0
0
0
0
16
8
8
33
0
0
4
4
4
4
0
0
2
0
0
1
4
0
8
16
16
0
2
2
2
2
2
2
1
0
8
0
16
16
16
16
1
1
1
0
1
1
16
16
16
0
0
0
0
8
16
1
0
0
0
8
16
0
16
16
18
2
0
0
0
0
0
16
0
56
4
4
4
1
1
1
8
8
8
24
24
24
24
8
4
16
4
12
16
2
16
16
16
16
16
0
0
19
0
0
2
2
2
24
24
8
1
16
0
0
24
24
12
0
0
2
8
1
16
8
16
0
0
0
0
8
8
8
8
8
8
8
16
17
8
8
8
8
8
8
16
16
0
0
0
32
32
32
32
8
8
8
8
16
16
16
16
8
0
9
9
8
2
8
8
0
0
32
8
8
0
8
8
28
16
33
8
16
16
16
0
0
16
16
0
8
8
8
8
8
1
0
1
16
16
16
16
8
8
24
33
33
0
28
12
8
8
0
0
0
16
4
4
0
8
8
0
0
16
0
0
2
2
4
4
4
8
8
8
8
8
8
3
3
0
0
0
4
4
0
0
0
0
0
17
1
1
1
1
16
16
16
0
56
2
32
32
8
8
8
0
4
16
16
16
18
18
8
2
0
0
0
0
0
6
48
13
13
13
13
1
1
1
16
0
16
16
16
4
0
0
8
8
12
0
40
40
8
8
8
8
4
16
16
16
27
1
1
1
1
4
0
0
0
8
8
8
0
0
16
16
16
8
8
9
9
2
0
0
0
16
1
1
8
0
2
16
18
16
32
32
32
32
16
16
1
40
32
32
32
8
8
0
0
0
0
8
16
16
16
16
16
0
0
32
2
2
2
2
16
0
18
8
4
0
0
0
0
0
16
16
8
8
1
1
0
0
25
25
25
0
4
16
0
0
0
16
8
32
8
2
2
2
8
24
0
0
8
8
8
8
8
4
4
0
0
0
8
16
16
16
8
2
2
8
0
0
16
16
16
16
16
16
16
0
8
9
0
0
0
22
16
2
0
8
8
1
1
0
0
48
48
48
0
2
2
0
0
1
1
1
1
8
0
0
0
0
16
6
8
9
9
24
24
8
8
0
0
0
9
0
16
0
1
1
1
24
24
2
0
0
1
6
6
6
0
0
0
0
8
8
0
16
8
8
0
8
4
16
16
2
2
0
0
8
16
20
0
8
8
16
0
0
0
24
0
18
0
4
0
4
8
8
8
0
0
8
0
0
24
24
16
8
2
2
1
0
0
16
2
2
16
0
0
0
24
8
8
8
8
8
8
0
4
0
8
8
8
3
32
9
9
9
2
0
8
8
4
8
8
0
0
4
4
4
4
4
4
4
16
8
8
4
8
0
0
2
0
32
32
32
0
0
24
0
0
0
0
8
8
8
0
8
8
18
8
8
8
4
16
8
2
0
8
8
8
0
0
2
16
8
8
17
17
0
4
0
2
2
16
0
8
8
8
8
8
8
8
8
32
8
4
8
8
8
2
8
8
8
8
8
16
0
16
0
0
0
0
12
16
16
0
26
18
30
36
8
8
0
8
8
1
1
1
1
0
16
4
0
0
0
4
8
4
0
0
16
16
16
16
0
0
0
8
0
0
16
16
0
0
8
1
1
1
16
0
0
0
0
0
0
0
4
16
0
16
28
28
32
0
0
0
0
0
0
0
0
0
0
0
16
16
16
0
0
0
0
3
24
24
4
0
0
0
29
29
2
2
2
0
0
0
0
0
0
0
4
16
16
0
24
24
24
24
16
16
16
16
0
0
8
0
0
16
16
12
1
8
8
0
0
0
0
1
0
0
0
0
0
0
0
0
9
0
0
16
32
8
0
0
1
0
16
16
8
16
0
0
8
8
8
8
16
16
8
2
2
8
9
1
1
4
4
8
8
8
16
17
16
16
0
0
4
4
16
16
16
16
16
16
20
20
16
16
0
0
23
23
23
23
0
0
32
16
16
4
8
0
0
16
12
8
8
1
1
16
16
0
0
0
16
45
0
16
16
16
0
0
4
4
4
8
8
8
8
8
8
0
0
4
4
4
4
0
0
0
0
0
18
18
0
4
0
0
0
0
0
8
4
4
4
8
32
32
32
2
2
0
0
16
0
22
22
2
2
8
8
8
8
8
8
8
0
0
0
0
16
24
1
4
4
8
8
8
8
8
4
4
4
4
4
4
4
0
8
0
16
24
16
16
16
16
16
16
16
0
0
0
4
4
16
16
32
16
0
16
16
16
0
8
0
0
0
0
0
1
4
25
25
8
8
8
8
8
8
16
0
0
8
8
0
16
16
0
0
8
8
0
0
8
8
8
8
8
8
8
17
16
8
24
24
8
1
4
28
24
16
16
16
16
32
0
2
8
0
0
0
0
0
8
8
8
16
17
16
8
8
8
8
0
0
8
8
8
8
16
0
0
8
16
16
6
6
8
8
1
0
16
8
16
1
1
0
1
0
1
0
0
0
4
1
25
4
8
8
8
8
16
0
16
32
32
0
25
16
0
1
1
8
8
32
0
0
16
16
0
4
0
0
0
0
0
8
0
16
16
16
0
8
16
16
16
16
8
8
8
8
8
16
16
1
1
5
1
1
8
8
8
2
2
8
0
0
0
0
0
16
16
16
16
0
8
0
1
5
1
1
1
1
8
2
2
2
8
0
8
8
4
1
8
0
0
8
8
32
32
32
32
0
0
8
16
16
20
20
32
8
8
8
8
8
8
8
8
0
0
1
2
8
8
8
8
8
8
4
4
0
2
0
0
16
0
0
16
16
16
0
0
0
0
2
2
17
17
0
16
4
4
4
20
4
4
16
8
8
16
16
1
1
8
8
0
4
4
8
8
8
8
8
8
8
8
8
0
0
8
16
0
8
8
8
0
0
0
4
4
16
2
2
2
0
16
8
16
24
0
8
8
8
16
16
16
16
56
0
2
0
0
8
8
2
2
4
4
4
16
8
16
1
1
16
8
16
28
1
8
4
4
1
8
0
2
2
0
0
8
8
0
16
2
2
0
0
0
0
0
16
4
0
0
0
0
0
32
8
0
4
32
32
32
32
0
8
8
0
0
16
16
1
8
8
0
0
0
0
0
8
8
8
0
8
0
0
48
0
0
8
8
8
8
8
8
16
8
1
0
16
8
0
0
16
0
0
0
0
0
16
16
2
16
16
16
0
0
0
16
0
16
16
16
4
16
0
0
0
0
0
32
16
16
16
0
4
4
8
24
16
1
1
4
0
0
8
0
0
1
1
1
1
16
16
16
4
4
4
8
8
8
4
0
8
8
16
16
8
8
8
0
8
0
0
0
0
0
0
8
2
2
2
8
17
17
16
8
1
0
0
0
0
0
9
0
0
28
0
0
0
0
0
8
8
0
0
8
8
0
8
1
1
0
0
0
16
16
16
16
24
8
8
0
8
16
0
20
8
8
8
8
8
8
8
16
32
32
32
0
0
8
8
0
8
0
8
8
2
2
2
2
2
0
16
16
16
16
16
1
1
4
0
16
8
8
8
8
0
0
8
8
8
8
8
16
0
8
8
0
0
0
20
20
20
20
0
16
16
0
16
16
16
16
32
0
0
0
8
0
0
0
0
0
8
5
8
0
0
0
37
37
16
0
0
2
8
0
16
4
4
14
14
16
8
8
8
8
0
2
1
1
1
2
0
0
0
8
8
58
24
24
24
0
0
0
0
0
0
0
0
0
16
0
9
0
52
52
52
52
8
8
0
4
4
0
0
0
2
2
2
2
8
8
0
8
0
0
16
0
2
17
0
0
6
8
8
0
0
0
0
0
0
0
0
0
0
0
8
8
8
43
17
8
16
16
16
0
48
48
16
16
16
16
0
0
24
8
8
8
4
4
16
1
8
8
8
0
17
8
0
16
17
8
8
2
2
2
0
4
4
4
0
32
1
1
16
16
4
20
8
16
8
4
4
16
16
16
0
0
0
3
3
3
8
8
0
8
27
16
16
16
0
0
0
4
4
4
8
8
8
8
8
8
8
0
13
13
8
0
0
0
28
28
28
4
4
4
4
4
4
8
16
22
8
8
8
8
8
8
1
2
2
16
18
0
34
16
16
16
16
16
2
16
8
0
0
0
4
8
8
8
8
2
2
8
4
8
8
0
8
16
0
0
0
0
24
24
24
8
0
0
0
32
32
4
4
8
8
8
0
8
8
8
8
8
2
2
0
16
16
8
8
0
0
0
0
4
0
0
8
8
0
0
8
9
9
16
16
16
16
16
16
16
16
62
16
0
8
8
24
60
4
4
4
4
0
4
24
28
16
8
8
8
16
16
1
29
16
1
0
1
4
4
4
16
16
2
0
0
33
0
8
8
1
0
32
32
32
32
32
32
0
0
0
0
16
16
16
16
16
0
16
16
16
1
1
1
0
0
0
8
5
5
8
2
1
2
0
0
0
0
16
8
8
8
0
0
0
0
2
16
0
16
16
16
16
16
2
2
2
0
8
8
0
16
0
0
0
8
16
8
16
16
8
0
0
8
0
57
57
1
1
0
32
16
16
16
16
0
0
8
8
32
32
1
1
1
0
2
0
0
0
0
2
24
0
0
8
8
8
8
8
8
6
6
0
0
0
0
0
0
0
0
8
0
0
0
0
1
1
16
0
0
0
8
8
8
8
8
1
1
1
1
1
0
18
0
0
0
0
0
0
6
6
8
9
0
0
0
1
8
8
8
4
4
0
0
0
8
8
8
8
8
8
8
8
2
2
8
2
2
0
0
0
0
16
0
4
4
2
2
8
0
8
0
8
16
4
12
4
8
8
8
0
8
2
2
16
16
4
3
5
0
4
0
16
0
24
24
8
8
8
8
8
8
1
2
2
4
0
0
0
8
8
0
12
12
12
8
8
0
0
16
0
0
0
0
8
8
8
8
8
16
16
16
16
16
8
8
8
8
8
12
9
9
13
2
0
2
2
4
8
16
16
16
0
0
0
8
2
2
1
1
4
4
16
16
16
16
8
16
8
8
16
16
16
16
16
16
8
8
8
0
4
48
16
20
8
16
8
8
8
8
8
8
0
2
2
16
8
4
16
0
8
8
8
1
8
8
0
0
16
0
8
0
0
0
21
21
4
8
8
8
0
0
4
0
0
16
16
0
24
8
17
16
16
16
16
4
4
8
16
16
0
0
16
0
0
0
1
1
1
1
0
8
8
8
0
9
8
8
8
8
8
0
0
0
0
0
16
2
16
16
8
0
9
2
2
2
9
1
8
16
16
16
16
4
4
4
4
1
1
1
1
1
28
4
8
16
0
0
0
22
4
4
0
32
0
16
16
16
16
0
8
8
16
16
16
8
8
8
8
8
1
1
1
1
1
1
1
1
0
0
0
0
0
0
9
0
0
8
0
0
0
25
1
16
29
16
0
0
0
8
8
1
1
1
1
0
2
0
25
0
2
16
16
16
16
16
0
8
16
0
8
0
8
8
8
8
1
1
8
2
4
4
4
16
16
8
8
16
0
0
8
8
8
8
8
8
8
8
0
16
4
0
16
0
2
24
8
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
31
8
0
17
8
0
0
16
26
0
4
8
2
8
4
0
17
17
16
24
8
0
0
0
24
8
0
0
0
24
0
16
16
16
0
2
16
0
0
0
16
0
16
24
4
4
8
8
8
0
0
8
8
8
8
32
0
16
16
8
0
0
0
0
1
0
0
16
0
4
16
8
8
16
16
8
8
8
8
0
6
6
0
8
12
1
1
8
8
8
0
0
0
0
2
2
2
16
0
0
0
8
8
16
10
2
0
0
8
8
16
16
16
20
0
4
28
8
8
8
32
32
0
0
16
16
4
4
4
0
0
0
4
8
8
8
1
1
1
1
16
0
0
0
16
16
0
1
1
1
1
8
4
16
16
0
0
0
0
20
20
20
0
4
4
1
0
0
12
12
12
0
38
2
0
0
16
16
8
0
4
4
4
4
0
2
1
14
0
0
24
24
24
8
16
16
16
16
2
2
16
0
8
8
4
16
0
24
24
24
0
0
8
0
16
4
4
16
16
8
8
12
8
0
0
3
3
0
0
0
0
0
8
0
16
16
16
8
8
0
4
0
8
8
8
16
16
0
0
0
4
4
4
4
16
16
16
16
16
8
8
8
8
8
8
8
4
4
0
4
8
8
1
1
1
8
0
16
0
0
1
0
8
8
0
0
0
16
16
16
8
0
8
0
0
16
16
0
8
0
2
26
26
26
0
2
0
0
0
16
16
0
24
4
4
4
4
0
4
1
1
0
5
1
0
0
0
8
8
4
4
8
8
8
8
8
8
0
0
2
6
6
6
6
6
6
8
8
0
8
0
16
16
16
8
8
0
0
0
0
0
0
0
2
2
2
8
8
8
16
0
0
0
32
0
0
16
8
24
8
0
0
0
0
2
6
9
16
16
17
16
0
0
16
16
16
16
0
0
0
0
16
1
0
0
8
8
2
8
8
6
0
0
8
4
0
4
8
16
16
8
8
8
2
4
16
2
16
16
16
57
57
57
57
0
8
4
4
32
0
16
16
16
16
8
8
0
16
16
16
0
1
8
8
8
16
0
16
16
16
8
0
8
0
0
48
48
0
8
16
16
16
16
20
0
8
8
4
8
16
16
16
16
2
16
8
8
8
8
8
8
8
8
8
8
8
8
4
0
8
16
58
4
10
16
20
0
0
0
16
8
8
16
0
8
8
0
16
16
0
0
0
24
4
4
4
32
2
0
0
10
48
0
0
24
8
0
0
2
4
0
16
16
16
16
16
16
0
0
0
0
0
0
0
2
2
1
4
4
8
12
0
0
16
2
0
16
0
0
0
0
20
16
0
0
0
2
4
32
8
4
4
4
4
0
0
8
48
16
0
0
0
1
4
4
4
0
17
1
1
16
0
0
0
8
0
0
0
0
0
0
2
8
8
0
0
0
0
2
10
10
10
10
8
8
8
21
8
0
0
8
0
16
0
8
0
0
16
16
16
8
16
32
32
0
16
16
5
5
0
32
32
32
32
32
0
0
0
0
0
0
32
16
16
16
8
8
8
8
8
8
0
0
57
0
19
19
1
1
0
0
8
4
16
16
12
8
8
0
8
8
0
0
1
0
1
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
9
0
0
0
0
16
8
8
8
4
8
0
8
8
8
16
0
8
0
8
8
8
8
1
8
8
8
8
16
2
57
0
0
2
0
0
0
8
8
8
0
0
0
0
0
0
18
0
0
0
0
4
0
0
0
0
0
0
26
4
4
8
8
4
8
0
8
8
8
2
2
2
0
0
8
8
8
8
0
0
0
8
0
16
16
16
16
4
4
4
0
0
0
0
32
0
32
32
32
32
16
16
16
16
16
16
16
16
0
8
8
2
8
1
1
16
9
9
9
56
2
16
16
16
16
4
4
0
2
0
8
0
2
0
0
0
2
16
0
16
16
8
8
8
4
4
8
0
0
0
8
8
8
8
26
0
4
4
0
0
16
16
16
16
16
16
0
0
8
8
8
0
16
16
0
0
0
0
0
0
34
0
8
8
4
0
0
0
0
0
2
2
16
16
16
16
16
16
4
16
8
2
2
0
17
0
24
24
8
8
8
6
4
4
4
0
0
0
24
2
2
0
0
0
0
1
8
32
16
24
16
16
16
16
16
8
8
1
1
1
1
20
20
20
8
0
0
0
0
8
4
4
4
0
24
8
8
8
8
8
40
40
0
0
0
0
0
0
0
0
16
0
44
12
4
4
8
8
37
32
0
0
8
0
9
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
16
50
18
12
8
8
8
8
16
0
0
0
0
0
0
0
18
16
0
13
2
2
8
8
8
8
8
0
2
16
0
0
0
16
8
8
0
1
1
16
8
8
0
16
0
2
2
9
9
0
4
4
16
20
16
16
32
32
8
0
8
0
16
0
0
0
8
8
8
0
4
4
4
4
8
0
0
0
0
0
0
0
0
0
0
8
16
16
16
8
4
4
4
26
26
26
16
0
8
8
0
0
0
16
0
1
0
0
0
0
0
32
32
21
0
0
0
16
24
24
24
24
0
0
16
0
0
0
0
0
0
0
16
0
0
0
0
4
0
0
8
0
0
0
0
8
8
8
1
0
0
0
16
1
8
8
4
4
0
4
16
17
0
40
8
17
2
1
1
0
0
0
0
0
32
8
0
0
2
2
16
4
0
16
16
16
16
16
8
16
32
32
32
0
0
0
0
0
2
8
1
8
1
1
4
4
8
8
8
8
0
0
17
17
17
0
16
16
0
16
16
0
0
0
4
4
4
4
12
8
0
4
8
0
8
16
0
0
0
0
0
16
16
16
9
9
16
16
0
0
17
32
32
0
0
2
1
1
1
1
1
1
1
1
8
8
8
0
4
4
4
4
9
4
4
16
16
20
20
0
8
24
0
0
4
8
8
8
8
4
32
24
24
24
8
8
16
16
16
16
0
0
40
40
0
0
24
34
2
2
16
6
6
25
8
0
8
8
8
8
16
0
0
16
24
4
4
4
0
0
0
4
16
8
32
32
8
8
8
8
8
0
0
0
1
0
0
4
18
8
8
0
4
4
4
4
16
16
16
0
20
20
20
8
0
0
8
8
8
8
1
1
1
1
1
1
0
10
10
8
8
1
1
0
0
8
8
0
0
8
8
8
8
4
16
4
8
0
0
24
1
0
8
0
16
0
4
4
16
0
0
48
4
0
0
0
8
8
28
28
28
28
4
4
20
4
20
8
0
0
9
0
0
0
8
8
16
16
0
0
8
37
37
1
1
0
0
0
0
0
0
33
0
16
16
16
8
8
8
8
8
8
8
16
24
0
1
8
8
8
8
8
8
0
0
4
16
16
8
8
0
8
8
8
8
8
8
8
0
25
0
0
0
0
8
48
1
8
8
8
8
8
8
2
4
8
8
0
24
1
0
16
8
14
8
8
0
0
0
8
40
8
8
8
8
0
0
0
16
16
8
0
0
0
0
0
2
2
8
8
16
6
16
16
16
1
16
16
16
0
0
0
0
8
0
2
0
8
0
8
24
24
0
8
8
24
8
9
19
16
16
0
0
16
16
0
0
0
0
0
0
1
16
0
0
36
0
16
16
16
8
8
8
8
8
0
16
16
16
0
0
4
2
2
2
0
32
0
4
4
4
0
0
24
8
8
0
8
0
0
8
8
8
8
8
16
16
16
0
0
0
0
4
8
16
0
4
4
2
2
4
4
42
8
8
0
8
8
8
8
0
0
8
8
0
8
8
8
0
0
2
8
8
4
4
40
24
24
24
0
0
8
0
16
49
0
0
0
0
0
20
20
9
9
9
9
0
0
0
16
16
6
6
24
8
8
8
1
1
1
0
0
0
8
8
0
0
0
0
8
8
8
24
0
0
4
8
16
0
1
8
8
0
8
8
9
9
9
16
16
8
8
0
0
0
0
0
4
4
1
1
16
8
8
16
16
16
16
0
0
0
0
0
8
16
0
2
2
0
1
0
0
0
0
0
32
16
16
0
0
0
0
0
0
0
2
0
8
8
8
8
8
16
16
16
16
16
16
16
16
8
16
0
0
0
0
8
0
17
0
0
0
8
8
4
16
4
1
16
16
16
40
40
40
4
4
4
8
4
0
0
0
0
32
32
0
0
0
48
1
1
24
24
4
0
0
0
16
24
0
8
56
8
8
16
0
0
4
4
0
0
0
40
24
0
8
8
4
8
16
16
0
0
0
0
0
8
16
16
8
0
2
0
8
24
0
0
0
0
16
8
24
24
4
0
0
8
8
8
8
8
8
8
8
0
8
8
1
4
0
16
16
16
16
16
0
4
4
4
4
52
52
52
4
4
0
8
16
16
1
0
0
16
0
16
16
2
24
8
8
8
8
8
8
8
16
16
16
8
8
8
8
1
1
9
9
8
8
8
8
0
8
9
9
9
8
8
8
8
8
8
2
0
0
0
4
4
0
0
0
0
0
0
16
8
16
4
0
14
12
8
0
16
16
16
16
0
4
16
4
4
4
0
0
0
4
0
8
8
8
8
8
16
16
4
4
4
8
0
0
16
16
24
2
6
6
6
8
8
8
8
0
0
8
41
0
0
0
16
16
0
0
0
33
33
32
0
0
0
4
1
8
8
8
4
16
8
8
0
14
8
0
0
16
2
29
29
8
8
8
8
57
57
57
8
8
0
0
0
0
0
8
0
0
0
0
0
32
16
0
0
16
0
8
8
0
0
0
0
0
0
8
8
8
0
16
0
16
16
1
0
1
1
16
1
0
8
8
8
8
6
6
0
0
0
16
16
16
16
8
0
0
0
0
0
8
4
16
16
16
16
8
0
16
8
8
8
8
8
0
0
0
8
57
24
8
0
8
0
32
0
17
0
8
8
8
2
0
8
8
8
0
0
0
0
0
0
0
0
16
4
1
32
8
16
16
32
32
16
0
0
4
20
20
16
4
4
4
4
4
16
16
0
0
0
0
16
16
1
1
16
2
8
8
0
0
0
0
2
2
8
0
8
0
0
0
2
2
0
0
5
5
5
5
5
0
0
2
2
2
2
10
2
2
0
0
8
8
8
8
0
0
22
22
22
0
20
8
8
0
8
8
8
0
0
8
32
32
32
3
0
8
0
16
16
16
16
16
16
16
1
8
21
8
8
8
8
4
4
8
32
32
32
32
32
32
32
32
2
24
16
0
1
0
0
0
0
0
8
4
8
0
0
8
8
0
8
0
0
0
8
8
8
40
0
8
0
25
4
20
20
20
20
20
20
20
18
18
0
1
8
0
0
2
0
20
0
0
16
16
16
16
16
0
0
1
0
0
2
2
2
0
0
0
0
16
0
0
4
4
4
0
0
8
1
1
1
0
8
8
9
16
8
8
8
0
16
16
8
33
0
0
32
8
8
0
0
2
2
0
0
0
8
32
8
4
13
5
4
4
4
8
8
8
8
8
8
8
4
2
8
16
8
0
0
0
0
0
0
2
2
0
0
0
8
0
16
16
1
0
0
0
0
16
16
32
32
5
16
16
16
16
8
8
0
16
0
0
0
0
0
16
16
8
8
8
0
0
5
5
5
0
0
32
16
0
16
16
8
4
0
8
8
0
0
48
0
0
9
9
0
8
8
16
16
8
8
8
6
8
8
8
8
8
0
0
0
2
0
0
0
8
0
0
8
8
16
16
4
0
8
8
2
16
0
0
0
0
0
40
10
0
0
0
0
1
1
0
0
0
16
0
0
0
0
8
0
1
1
1
1
1
1
0
0
0
0
0
8
16
16
52
0
16
16
16
4
4
4
4
16
18
16
0
8
8
0
0
0
0
8
1
1
0
0
0
4
4
16
16
28
12
0
0
3
0
12
1
0
8
8
0
16
32
0
8
8
0
0
0
8
8
8
8
0
4
16
16
32
0
1
0
8
8
8
4
4
24
16
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
16
6
6
2
2
2
2
0
0
8
8
0
0
0
0
16
8
8
8
8
8
8
0
0
2
8
8
16
24
16
0
0
0
8
49
49
49
2
2
0
2
4
8
0
16
8
8
0
0
8
8
8
1
1
16
0
0
0
8
0
8
0
0
0
10
10
16
16
8
2
0
0
0
8
16
2
6
4
0
8
0
0
0
0
56
8
8
8
8
8
0
0
0
0
0
40
32
16
8
8
8
8
8
8
8
8
8
16
17
0
0
16
8
2
4
4
0
5
5
5
16
8
8
0
0
1
16
8
0
16
16
22
0
0
0
12
12
8
0
16
24
0
0
0
24
24
0
8
8
16
16
16
16
16
24
24
0
1
1
2
0
0
0
0
2
2
2
0
16
0
8
0
9
2
16
16
18
0
0
0
0
0
0
4
0
24
8
8
8
0
1
4
44
8
3
0
16
16
0
4
0
16
26
48
0
0
16
1
1
16
16
16
36
36
36
36
4
4
0
8
8
2
16
8
8
8
8
0
0
0
0
0
0
8
2
2
2
2
2
8
16
32
32
1
8
0
0
0
2
16
16
0
0
4
4
4
1
48
32
32
8
8
8
0
0
9
9
1
1
0
0
0
0
0
0
8
8
8
8
0
1
24
16
16
0
8
8
8
8
0
4
8
8
8
8
8
2
2
2
18
8
0
0
0
0
0
2
0
8
8
8
8
4
4
4
0
2
2
2
0
0
0
8
8
0
8
13
4
4
4
32
34
0
2
8
16
0
16
16
16
16
16
16
16
10
10
10
8
0
0
0
44
16
1
36
36
0
16
0
0
0
4
0
25
8
8
16
16
8
8
8
8
0
8
8
8
8
0
16
16
8
17
4
16
0
4
8
8
4
16
16
16
4
4
0
0
4
4
4
4
4
0
8
8
0
0
0
8
8
8
8
8
8
8
3
48
0
16
16
16
16
16
16
16
32
32
8
0
8
16
24
16
28
28
8
0
16
16
8
0
0
0
0
8
8
8
8
4
5
1
16
16
32
8
8
8
8
8
18
16
16
24
0
0
8
54
1
1
1
1
1
1
8
24
24
24
16
1
28
1
1
1
1
1
0
0
8
8
8
40
28
28
2
16
8
0
0
0
0
24
24
1
1
18
18
16
18
8
8
8
0
0
8
8
8
16
8
8
8
21
8
18
8
22
8
8
0
0
28
8
0
0
0
4
8
16
8
8
0
0
0
4
1
2
2
8
8
0
0
0
0
0
0
1
0
16
32
32
4
4
4
4
4
9
9
9
16
16
16
16
0
0
0
0
8
8
0
0
5
35
8
0
16
0
8
8
16
0
0
16
16
16
17
0
0
0
3
3
8
8
8
0
0
16
8
16
0
0
0
16
16
0
2
2
4
32
16
8
8
8
2
2
0
0
0
4
16
16
1
16
0
24
4
8
8
8
0
0
0
0
0
22
16
2
8
0
8
16
16
16
16
0
0
0
8
58
8
4
24
8
8
0
8
0
0
0
16
8
16
16
0
0
16
2
0
2
4
4
4
0
8
16
4
4
4
8
8
8
8
16
0
8
8
0
0
0
1
1
0
0
0
16
0
0
16
16
0
8
2
2
2
16
16
16
0
0
0
16
16
16
0
32
8
8
16
16
16
16
0
1
1
2
2
2
0
0
0
1
1
16
8
8
8
8
8
8
8
8
8
0
8
8
0
0
8
8
18
18
2
16
16
16
4
4
4
4
8
8
8
0
8
8
0
1
1
16
16
8
8
8
0
8
17
0
8
8
14
8
8
8
8
8
16
16
8
16
2
1
1
8
8
0
8
8
24
8
4
4
0
49
8
4
0
0
0
8
8
8
16
16
18
2
0
0
0
1
1
1
16
16
16
8
8
8
8
1
0
1
0
0
0
24
0
8
8
0
0
2
8
0
2
2
0
0
8
0
16
0
4
1
4
4
16
16
8
8
8
8
8
28
28
0
17
1
9
9
9
9
9
9
9
8
0
0
0
1
4
4
16
16
16
16
4
8
2
2
2
0
0
24
2
2
4
4
4
0
16
16
4
24
16
0
24
24
24
8
8
8
8
1
1
1
1
4
4
4
0
0
0
0
18
2
8
8
8
8
0
8
0
0
0
12
12
28
28
8
8
8
4
0
16
0
8
8
8
8
0
0
0
8
0
4
16
0
9
9
8
9
1
0
0
0
0
0
0
0
0
16
0
0
16
16
16
0
0
8
2
1
1
1
0
0
8
8
8
0
32
32
8
2
2
2
0
0
16
16
8
4
0
0
0
2
24
8
16
16
16
16
16
12
12
12
0
1
16
8
0
16
16
17
17
1
1
0
4
8
0
8
0
0
0
0
9
16
16
16
1
0
8
9
9
16
16
16
2
19
20
20
0
16
16
0
0
8
8
8
8
8
16
16
16
16
16
0
0
0
2
2
0
8
8
8
8
8
8
8
8
8
1
1
8
24
1
2
0
0
8
0
0
0
0
0
16
16
16
8
0
12
32
32
0
4
16
16
0
0
8
8
0
0
0
0
16
16
16
16
0
16
16
4
3
3
3
0
8
8
0
0
2
0
0
0
0
0
0
8
8
0
4
0
0
0
0
8
0
1
16
1
1
8
16
0
0
8
9
9
9
8
8
0
4
8
8
8
8
0
9
8
8
0
0
0
8
8
8
8
16
17
4
4
4
16
16
16
0
8
8
0
4
4
16
0
24
10
0
14
2
8
8
0
1
16
0
16
8
8
8
8
16
16
0
8
8
8
0
0
4
8
2
0
0
0
0
8
7
2
2
16
16
8
8
8
8
16
16
16
20
4
4
16
0
0
0
8
13
0
0
3
3
8
1
1
1
1
0
0
16
28
0
8
4
1
1
16
1
16
8
16
16
0
0
0
0
0
0
0
16
0
45
45
33
0
0
0
0
16
16
16
16
8
0
1
6
16
16
6
8
8
0
18
16
16
16
16
4
4
8
8
2
2
0
16
16
16
24
8
8
16
4
4
4
0
0
0
0
8
8
8
0
0
16
16
8
8
8
0
12
16
16
32
0
0
8
1
4
0
0
0
0
0
0
16
16
4
4
16
16
8
0
0
0
0
0
1
0
0
0
0
16
0
8
9
0
8
0
8
0
4
0
0
8
8
16
8
8
8
0
8
20
0
0
24
20
20
20
16
16
0
0
0
0
0
28
8
16
0
24
24
16
8
8
0
0
0
28
0
0
0
0
0
8
24
0
28
4
4
0
8
8
8
32
8
1
1
8
16
0
0
20
28
7
8
9
16
0
16
16
16
16
16
1
8
8
8
8
8
0
2
8
0
0
0
0
8
8
4
4
4
20
8
8
8
8
0
8
8
8
8
13
0
0
8
0
2
2
4
0
4
0
16
16
0
0
0
0
0
0
0
4
4
8
8
0
4
0
0
0
0
0
4
8
8
8
8
16
16
16
8
0
0
8
4
4
4
0
1
14
8
8
0
0
24
16
16
16
16
16
24
20
0
16
16
16
0
0
16
16
16
0
32
1
16
0
8
8
8
8
0
22
22
8
8
0
0
17
17
0
16
0
0
16
16
16
16
2
2
2
16
8
8
0
0
0
4
0
2
16
32
8
10
10
0
0
8
8
8
0
8
16
16
16
16
0
8
40
0
0
16
16
0
16
16
16
8
8
8
8
8
8
16
8
8
0
48
4
2
1
8
8
8
0
0
1
16
8
8
8
0
0
4
4
0
0
32
8
0
8
8
8
0
0
0
16
16
16
0
0
34
2
2
8
16
8
8
28
16
12
28
0
4
16
16
16
16
2
8
4
4
6
0
0
0
32
32
8
0
0
0
0
0
0
0
0
4
16
1
16
0
8
4
32
8
8
0
0
0
0
4
0
8
8
21
4
4
1
1
1
8
8
8
8
0
0
0
2
2
2
8
32
32
8
8
16
16
0
0
0
0
12
1
1
1
2
7
0
0
0
0
0
0
0
8
8
8
8
40
0
6
0
0
16
8
0
16
4
4
4
4
8
8
4
5
0
16
0
0
0
0
8
1
0
4
4
4
0
16
16
0
12
8
0
8
16
8
16
0
0
0
0
0
20
20
8
8
16
16
32
24
16
16
0
8
0
2
16
8
4
4
0
0
8
0
16
18
18
18
4
0
4
4
4
0
0
8
25
8
0
0
0
8
8
0
0
1
1
1
8
12
0
0
0
12
24
24
0
0
0
0
8
8
8
8
8
8
8
0
4
8
0
1
0
0
8
8
8
0
0
0
0
0
0
32
32
32
32
16
8
26
2
8
16
0
8
0
0
0
8
1
0
0
0
8
0
0
16
16
1
1
8
16
33
33
33
0
18
18
8
8
0
0
28
28
28
28
28
28
8
8
8
0
8
8
16
0
8
8
8
0
8
16
0
8
0
8
16
2
10
0
0
32
8
0
16
16
8
12
0
0
0
0
0
0
8
8
8
8
0
0
0
4
4
4
16
0
6
8
0
0
16
0
4
4
0
0
4
8
8
16
16
14
8
10
10
16
33
33
1
1
1
8
8
16
16
24
24
16
16
16
0
32
0
58
0
8
8
1
1
1
1
1
1
1
8
32
0
0
0
0
0
0
8
8
16
16
0
0
0
2
0
16
16
16
16
16
4
0
49
24
16
4
4
0
0
0
12
8
8
8
12
7
1
0
8
1
1
1
0
0
0
0
0
0
0
0
16
8
0
0
8
0
1
32
32
32
32
32
16
8
8
0
24
2
2
2
4
2
8
5
8
8
8
8
0
27
8
0
0
16
0
0
8
49
8
0
0
0
0
16
2
2
8
0
16
0
0
0
0
0
0
4
4
4
1
1
16
8
8
8
0
0
0
0
1
1
1
0
16
1
0
0
16
16
0
16
16
16
28
0
0
0
0
0
0
0
0
0
0
0
34
0
0
19
2
0
0
0
16
16
0
0
16
4
0
8
8
8
8
0
4
0
0
24
8
12
4
4
0
2
8
8
8
8
0
0
16
16
16
16
16
4
0
0
12
12
10
10
10
4
0
0
1
0
0
16
16
0
8
8
8
16
0
0
0
8
4
4
4
0
0
8
0
32
19
8
8
0
0
13
0
0
2
0
0
0
0
0
4
55
10
2
26
0
0
42
42
4
4
8
8
0
16
2
2
2
1
1
1
1
1
1
0
2
2
2
16
20
0
51
35
16
8
0
0
8
0
8
8
8
16
16
16
0
0
8
8
16
16
8
4
0
0
0
0
8
8
0
8
8
8
8
1
8
8
8
8
24
8
24
8
8
0
0
8
16
8
0
16
16
16
4
4
0
16
8
1
8
8
8
18
18
16
8
8
0
0
0
8
1
16
0
4
4
0
0
16
0
8
8
8
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
8
8
8
2
8
8
16
32
16
16
0
24
0
0
8
16
4
2
2
8
2
1
2
2
2
0
8
8
8
0
0
1
0
0
18
0
0
16
1
16
0
32
8
8
8
1
0
4
24
0
8
8
8
8
0
0
0
0
0
0
4
0
20
4
0
0
4
0
0
8
1
24
18
16
16
16
8
8
16
0
0
0
8
8
8
32
32
0
0
4
4
8
8
0
0
0
8
8
20
0
8
8
8
0
0
0
16
4
8
8
8
1
1
1
1
0
0
20
0
0
0
0
2
2
16
16
8
1
0
0
0
16
16
16
16
1
1
0
16
16
16
0
0
8
16
16
0
0
0
0
2
24
8
8
8
1
2
2
16
16
8
8
0
0
1
4
4
0
8
20
0
8
8
8
0
16
16
24
0
0
0
0
0
0
0
0
24
24
24
0
1
0
8
8
8
24
24
8
8
8
8
1
1
1
1
32
32
16
0
0
0
0
0
0
32
40
32
32
4
1
0
8
8
8
8
8
8
8
0
40
16
16
8
8
8
8
16
8
8
8
0
3
4
16
0
16
8
16
16
0
0
0
16
16
2
8
8
0
0
32
32
32
16
0
18
16
0
2
8
8
32
0
0
0
0
8
8
8
0
0
0
8
1
1
1
8
8
20
0
24
0
0
0
0
0
0
9
0
24
24
16
4
4
4
0
16
16
16
0
0
8
8
24
61
28
0
16
16
0
0
7
7
7
7
7
0
0
0
9
0
0
0
0
0
0
2
2
2
0
0
16
0
0
1
1
1
8
8
0
0
5
0
0
20
0
0
0
18
16
16
16
20
2
16
0
0
0
0
0
8
8
8
8
8
2
2
0
0
0
0
0
0
16
35
4
17
16
8
8
0
17
16
16
5
16
0
8
8
8
0
0
0
8
16
16
16
16
16
16
0
16
0
0
0
0
32
0
8
32
16
16
16
16
0
16
8
24
8
8
8
8
8
2
0
0
1
1
1
6
4
1
1
1
3
16
2
2
1
2
0
0
0
0
8
2
2
16
8
8
0
8
16
16
16
16
0
17
0
0
0
0
0
0
0
0
0
0
18
18
18
8
8
0
21
8
8
8
8
0
0
0
0
0
0
0
0
16
8
8
2
0
32
2
0
8
8
8
8
4
4
4
16
8
0
0
0
8
8
8
8
8
8
8
8
1
0
0
0
40
32
16
0
0
20
20
0
0
0
0
10
10
0
0
17
0
8
0
8
8
0
8
20
8
8
8
8
1
16
16
16
16
8
8
8
8
16
4
0
16
0
0
8
0
0
9
9
0
8
0
18
26
18
0
0
0
8
2
2
2
32
32
32
0
0
0
0
8
1
1
18
2
0
16
16
16
18
16
0
8
8
0
8
0
0
0
8
8
0
16
16
8
8
0
8
16
8
28
28
24
0
0
17
16
20
20
16
16
16
16
0
20
4
0
0
0
2
2
2
2
2
58
16
16
0
0
8
0
16
16
16
1
0
24
1
32
8
8
8
8
0
16
3
8
8
24
24
26
16
0
32
32
32
0
8
0
16
16
0
0
0
16
8
2
0
0
16
16
16
8
0
0
8
16
16
8
8
16
0
0
32
32
22
22
22
8
0
0
8
0
8
8
8
8
8
8
0
0
0
0
0
0
1
3
16
0
0
0
0
0
0
0
16
16
17
16
1
8
24
24
8
18
8
2
8
0
4
0
24
24
2
2
8
8
8
12
12
8
8
4
4
0
0
0
0
0
21
8
8
0
0
0
0
0
0
0
0
8
4
4
0
8
8
8
8
8
8
8
0
8
8
8
0
16
16
0
0
1
8
0
8
0
0
52
52
4
4
4
2
28
32
8
0
24
24
0
0
8
8
8
0
1
1
1
25
32
32
32
2
0
0
0
0
0
16
0
0
0
0
16
2
2
2
16
16
8
8
8
8
0
0
1
20
20
20
4
0
0
4
4
4
1
22
22
20
8
4
0
0
16
0
16
0
1
0
0
0
0
8
16
2
2
0
8
8
0
32
4
4
8
8
8
8
16
0
0
8
8
8
0
8
8
30
8
8
8
8
8
0
8
16
0
16
32
0
0
8
16
16
16
0
16
16
16
0
0
16
16
16
16
1
0
0
0
0
0
8
32
32
32
32
32
49
49
8
8
16
16
16
8
0
2
20
8
8
0
20
20
4
8
1
8
8
0
0
0
8
0
4
4
16
4
4
16
16
16
16
16
0
0
0
21
21
0
8
1
4
4
0
0
1
8
8
33
32
0
0
0
16
16
8
0
8
8
8
8
8
8
8
1
1
5
24
24
8
0
0
4
4
0
8
8
8
8
8
8
2
8
13
2
0
0
0
16
16
16
12
4
16
8
2
2
2
8
40
40
40
8
0
0
8
8
8
8
0
0
0
0
0
8
8
8
17
17
4
4
8
8
8
0
0
0
4
4
4
4
8
8
8
8
8
8
0
8
8
0
0
1
1
1
1
0
8
0
16
16
16
1
1
1
1
0
0
21
1
1
1
49
49
8
0
0
24
24
50
50
2
0
0
4
4
4
4
2
2
2
2
4
13
1
1
43
43
8
8
8
4
4
8
16
16
16
0
0
0
0
0
16
2
16
8
16
16
16
16
0
16
8
2
2
8
4
4
4
1
1
0
32
32
32
0
8
24
0
0
32
32
16
16
0
0
8
4
16
16
16
5
1
0
0
32
24
24
2
0
0
1
0
0
4
8
8
8
8
0
0
8
4
0
0
0
8
12
8
0
16
16
16
16
16
16
8
18
18
18
0
0
0
8
0
32
0
8
8
8
4
4
4
4
4
4
0
2
8
8
8
8
8
0
0
4
4
0
9
0
16
16
16
16
16
0
0
4
40
40
16
0
0
0
0
0
0
8
16
16
0
0
0
0
8
8
16
1
16
17
3
4
0
0
0
0
54
54
54
25
16
16
25
0
8
4
4
0
16
16
16
0
0
0
16
0
1
1
0
0
0
4
4
0
0
0
1
8
0
0
0
0
0
0
4
2
2
8
0
0
1
0
0
0
0
0
16
16
0
1
0
0
8
1
57
56
0
0
0
16
16
8
8
8
8
8
16
16
0
0
8
8
8
16
0
0
0
16
16
16
16
8
8
8
16
16
8
0
4
1
16
16
16
0
0
0
8
32
32
8
8
2
24
8
16
8
8
16
16
8
8
8
8
0
0
0
2
8
8
8
17
8
0
32
32
32
32
32
32
32
8
0
8
8
8
0
8
0
0
0
0
0
0
0
0
2
2
0
0
4
0
0
0
1
1
16
0
8
8
8
8
0
0
8
8
2
2
1
0
1
0
16
16
0
8
1
0
18
0
2
18
16
15
12
12
32
8
8
4
8
0
8
0
8
24
8
0
8
32
16
16
2
2
0
8
8
8
8
1
1
2
0
0
0
8
8
16
17
8
0
8
0
8
8
8
0
1
1
1
0
8
0
0
24
24
8
8
8
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
4
0
0
16
16
1
4
8
8
8
8
8
0
0
0
0
16
0
0
8
8
20
8
8
8
8
8
0
8
32
32
32
4
4
8
0
1
1
1
8
8
8
0
0
0
16
16
16
16
8
1
1
1
1
8
8
16
16
16
16
16
16
34
0
2
3
3
0
8
0
8
0
16
16
1
10
10
0
0
0
16
17
17
16
16
8
8
8
40
8
8
4
8
8
8
8
8
0
0
0
0
0
2
8
0
0
16
4
8
0
0
26
16
0
0
0
0
0
0
0
2
0
2
16
0
16
1
16
16
20
8
0
0
32
32
24
4
0
0
4
4
5
5
18
16
16
4
18
16
0
0
12
8
8
20
0
0
16
18
8
8
8
0
0
0
0
8
0
16
16
16
16
0
8
8
8
8
0
16
8
16
8
8
4
4
4
12
4
20
20
34
34
0
0
0
8
8
28
8
8
8
8
8
8
8
32
32
16
2
2
8
8
16
16
16
16
16
29
0
8
8
8
8
2
2
12
0
0
0
0
0
20
0
0
0
20
20
32
16
18
18
18
0
8
8
16
0
0
0
1
1
16
16
0
8
8
8
24
0
0
0
0
0
17
17
8
8
8
8
16
4
24
24
8
16
18
8
0
27
24
16
16
4
8
8
8
8
8
8
1
8
8
0
8
1
16
0
16
8
8
1
1
1
1
1
0
4
2
2
2
6
32
32
32
32
32
32
0
0
0
8
8
0
9
0
8
0
2
2
0
8
0
16
0
0
0
16
32
8
8
8
0
0
16
16
38
0
0
2
16
16
4
4
16
8
8
8
0
0
8
8
0
1
0
0
0
19
19
19
0
0
0
0
0
0
0
16
16
0
36
0
16
2
2
16
48
48
48
0
0
18
12
0
0
8
8
8
16
0
16
0
0
0
0
0
0
8
8
1
9
0
0
0
6
0
0
8
8
0
0
0
16
0
0
0
8
8
3
4
4
0
16
16
16
16
16
1
8
0
0
8
8
8
0
0
9
16
16
16
16
0
8
8
0
8
8
0
0
0
0
8
0
1
4
4
0
0
8
2
2
8
8
8
8
8
0
0
0
32
0
8
0
0
0
32
32
8
8
1
16
16
0
0
16
6
8
2
16
0
0
0
16
0
1
1
1
1
0
16
4
8
8
16
16
16
16
0
0
4
4
24
16
16
16
17
17
17
16
16
0
16
0
16
16
16
8
8
8
2
0
2
2
2
8
8
8
8
8
8
0
0
0
0
8
8
0
8
16
16
16
8
8
0
0
0
8
8
8
8
0
0
0
0
0
8
8
0
16
16
16
0
16
9
9
9
8
0
8
8
0
0
4
16
8
0
2
2
2
2
4
0
5
5
5
5
8
8
8
1
1
1
16
16
0
2
4
4
4
0
8
8
8
8
16
16
16
0
16
0
0
0
0
0
2
2
24
4
4
0
4
2
4
2
2
2
8
8
2
8
2
2
2
2
16
0
0
0
32
32
32
32
32
32
32
8
24
24
24
0
0
0
0
8
8
8
8
2
8
0
9
0
8
8
8
8
8
8
16
4
4
8
8
0
0
0
8
16
8
8
8
0
8
0
0
8
16
41
8
16
1
0
8
0
3
17
0
0
0
0
0
0
4
4
4
2
16
0
8
0
8
8
8
24
8
16
40
0
0
0
2
16
16
8
0
0
0
0
0
8
8
16
16
16
16
0
0
0
16
16
2
16
0
0
0
1
4
4
4
16
0
16
0
0
0
0
1
1
8
8
0
8
8
8
16
0
16
2
2
2
0
0
16
0
16
0
2
2
0
1
1
1
0
1
2
0
0
8
16
16
16
16
16
16
4
8
8
8
8
8
8
0
0
16
8
0
0
2
16
16
0
0
8
8
8
0
0
0
0
8
8
8
8
8
8
0
0
0
8
8
0
0
18
18
18
2
0
16
16
0
16
0
8
8
0
0
0
0
16
0
0
0
8
1
8
16
16
8
8
8
0
0
24
8
8
16
16
0
8
8
11
0
0
30
1
1
0
0
0
0
0
0
0
0
0
0
0
0
32
32
0
0
0
10
0
1
0
0
0
16
16
16
16
16
16
0
8
8
8
8
1
40
32
25
16
16
0
16
16
24
16
1
1
0
0
0
0
0
8
8
4
0
0
0
8
8
0
0
0
0
1
8
8
8
8
8
8
21
53
21
21
0
8
8
4
8
8
2
8
8
17
0
8
24
24
1
1
8
8
24
0
0
33
24
0
0
0
8
8
0
24
2
2
8
0
4
4
1
0
0
0
0
0
0
8
0
16
16
28
8
2
4
16
8
0
0
0
8
1
8
16
16
3
3
0
0
8
8
0
0
0
8
16
8
8
0
0
16
2
2
2
2
16
7
48
9
4
4
4
0
1
1
1
1
1
1
0
40
4
8
0
8
8
8
16
24
24
24
0
0
1
16
2
0
0
0
0
2
2
0
34
34
16
0
8
8
24
3
0
2
8
8
1
8
8
8
8
8
8
24
17
0
0
0
8
8
8
8
8
0
16
2
2
8
20
16
0
8
2
2
18
2
0
0
4
4
4
1
0
17
16
16
57
8
8
8
8
4
0
0
0
0
8
8
8
8
8
1
9
8
8
0
0
16
16
8
8
8
0
0
4
16
0
1
0
0
0
0
0
0
17
24
24
24
0
0
0
12
12
12
34
9
8
16
0
8
8
0
25
25
4
20
20
20
8
8
16
16
16
16
16
0
8
0
0
0
0
0
0
0
0
0
0
8
8
8
16
8
8
16
16
16
0
0
0
0
0
0
0
12
8
8
8
4
4
4
4
40
0
0
8
0
0
0
8
16
4
4
8
8
0
8
0
0
0
4
4
20
16
0
0
0
0
0
8
6
8
2
2
1
59
16
0
0
2
2
2
1
16
0
0
8
8
8
24
24
24
24
24
24
24
8
2
8
16
0
8
8
28
9
12
12
20
20
32
0
0
0
0
0
8
0
16
16
20
20
20
20
20
0
8
1
1
2
0
8
0
2
24
3
3
0
1
25
0
0
0
1
8
4
16
16
16
8
8
8
9
8
8
49
0
0
0
16
16
4
4
4
4
8
8
2
0
0
0
4
16
12
0
24
0
0
19
19
4
0
8
8
0
0
0
0
0
0
2
2
0
7
41
41
41
9
0
0
1
1
1
16
4
4
4
4
8
0
0
0
16
0
24
0
4
4
8
5
5
5
5
5
8
8
0
0
0
16
0
0
16
8
8
8
10
16
16
16
16
16
17
17
17
8
0
0
8
8
2
4
8
4
4
8
1
16
16
8
8
0
36
36
16
0
0
2
16
16
16
1
0
0
0
8
32
32
0
1
0
0
8
0
10
10
0
8
8
0
0
0
0
1
0
8
0
2
2
8
8
1
8
24
0
4
16
16
2
2
2
2
16
2
2
8
8
8
0
0
0
16
16
16
16
16
16
16
0
8
8
8
0
0
16
16
8
8
8
8
0
0
8
0
0
0
0
8
0
0
0
0
0
8
0
8
8
2
0
0
0
0
0
2
0
16
8
2
4
8
8
8
8
8
13
13
0
8
8
0
8
8
0
0
16
16
16
0
8
0
0
8
2
16
16
16
16
0
0
1
1
0
0
0
0
0
16
16
1
0
1
1
0
2
0
0
0
8
1
1
0
0
8
16
0
0
8
8
0
0
1
12
8
22
22
22
22
22
22
0
0
32
32
8
16
0
0
0
0
0
2
2
0
8
8
16
24
0
2
17
8
4
0
0
16
1
8
0
0
8
9
8
16
16
0
0
4
2
18
8
0
8
12
12
8
4
0
8
8
8
8
16
16
0
0
1
2
16
0
8
1
0
0
8
0
0
0
16
8
16
16
0
2
2
2
4
0
4
8
16
16
16
16
8
4
0
0
16
8
1
0
0
4
4
4
0
24
24
2
1
1
16
16
16
16
4
4
8
0
16
16
16
16
8
0
0
0
16
16
16
16
30
8
16
25
1
0
16
8
8
8
8
9
0
0
34
16
4
0
0
0
8
8
8
17
2
0
8
8
16
16
16
16
16
16
16
1
1
1
1
8
0
1
28
16
8
8
16
16
16
16
0
0
8
8
0
0
16
16
0
0
0
0
8
16
0
0
0
0
0
10
1
1
1
1
1
21
21
21
17
16
8
8
8
0
8
8
8
0
16
16
16
16
1
1
1
1
9
8
0
0
0
16
2
34
8
8
8
8
0
0
0
0
8
8
8
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
12
12
0
0
0
16
16
0
48
4
4
0
0
4
24
24
24
0
4
8
0
0
0
0
0
0
0
2
0
0
8
0
16
0
0
8
1
1
8
8
16
8
0
0
8
8
8
8
8
8
8
0
2
0
1
1
16
48
8
0
0
0
9
8
16
0
32
0
0
16
16
16
16
16
17
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
6
6
4
0
12
8
8
8
4
4
4
4
4
0
0
0
0
8
8
8
8
40
1
1
4
4
4
48
16
16
9
9
20
20
32
8
0
1
4
0
0
0
0
12
16
1
0
0
32
32
32
32
32
32
16
16
17
16
16
8
8
8
24
24
1
0
8
8
1
16
0
0
8
4
4
24
0
0
2
2
2
2
8
8
4
0
0
0
0
8
8
8
0
4
0
0
0
0
8
8
8
4
0
0
8
0
0
8
4
4
8
0
8
1
6
0
0
0
8
12
12
16
16
16
16
0
0
0
0
16
24
24
24
8
32
32
36
0
0
0
0
0
3
20
16
0
4
56
56
0
7
2
8
0
8
8
8
8
0
0
0
0
0
0
9
16
0
0
16
16
16
0
16
2
2
2
0
13
8
16
16
16
1
8
8
8
2
24
24
24
8
16
16
16
8
8
20
20
20
16
16
16
16
16
0
0
8
20
16
8
8
4
2
2
0
32
32
32
0
12
12
8
9
2
6
16
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
4
0
16
8
8
8
0
8
8
8
8
0
16
16
8
16
16
0
0
0
0
0
16
16
16
0
16
1
9
9
9
9
32
32
0
16
16
8
8
4
4
8
24
24
4
4
4
0
2
2
2
16
8
0
18
16
20
1
16
16
1
0
2
8
8
8
0
8
8
16
16
4
9
9
8
0
16
16
16
16
16
16
16
16
8
8
8
8
8
8
12
0
0
16
16
16
0
8
0
0
0
0
8
8
16
0
16
0
8
8
8
8
8
8
2
1
1
1
24
0
0
0
8
0
0
8
4
0
8
0
0
8
40
40
40
8
0
0
0
1
2
33
1
0
16
8
0
0
8
0
8
8
8
32
16
16
16
0
8
8
8
8
0
18
28
8
8
8
8
8
8
8
8
8
8
18
8
16
0
0
0
2
8
8
0
2
4
16
16
8
16
8
8
8
0
0
8
8
8
12
4
12
0
8
8
16
16
16
6
4
4
16
16
0
0
2
0
2
2
16
16
4
4
28
8
4
4
4
8
2
2
0
0
0
0
0
0
0
2
0
16
0
1
16
1
8
24
24
0
0
7
7
4
4
4
16
16
0
0
0
0
8
8
0
0
0
0
8
8
8
8
0
0
0
16
16
1
0
0
0
0
0
8
16
0
1
32
4
2
2
0
0
8
8
0
0
1
0
8
2
16
16
1
0
8
16
0
8
16
12
12
22
22
22
22
22
2
8
0
0
8
32
8
40
8
8
0
0
8
8
4
0
46
0
0
2
2
20
20
1
4
0
0
0
0
8
0
1
9
1
1
0
16
4
0
0
24
6
8
0
0
0
8
8
2
8
8
8
8
0
0
8
0
0
0
0
2
16
0
16
16
16
16
16
24
8
0
8
0
18
18
18
8
4
4
4
4
4
0
20
2
16
4
4
4
4
16
0
0
16
8
8
8
8
0
8
8
8
11
10
10
8
0
0
16
8
1
8
16
0
16
0
0
8
8
8
2
8
8
8
8
0
0
0
0
0
0
0
0
0
1
1
1
16
16
0
0
0
0
0
0
16
0
8
8
8
8
8
4
0
0
0
48
8
25
8
8
8
8
8
0
0
0
0
0
8
8
8
0
0
0
0
16
8
8
8
16
0
8
8
1
12
16
4
16
16
8
0
2
0
0
8
0
0
28
28
0
4
16
16
0
8
32
32
32
32
32
16
16
16
0
16
16
1
1
8
16
16
16
8
1
1
40
0
8
4
8
8
8
8
8
8
0
0
16
24
24
24
24
24
24
24
2
2
16
16
18
18
4
4
4
4
8
8
0
0
16
16
16
0
0
0
0
0
0
2
0
0
0
8
8
8
0
0
16
0
0
4
16
16
0
8
16
48
0
8
1
1
1
8
8
8
8
8
32
32
32
8
4
4
0
8
8
0
4
4
4
2
16
13
12
26
8
2
16
16
16
8
28
0
8
8
0
4
0
16
0
0
8
0
2
2
16
16
16
16
0
1
1
0
0
16
8
16
0
0
0
0
0
0
0
4
4
8
0
8
0
17
0
20
8
8
8
10
1
4
1
16
16
0
0
0
0
0
0
0
0
8
0
1
8
8
16
16
16
12
12
12
12
12
2
0
0
16
16
8
8
0
24
4
8
0
0
16
16
0
24
24
16
16
0
0
16
8
8
8
8
8
8
8
4
16
1
16
0
0
6
0
8
8
0
0
4
8
8
8
8
16
16
16
16
16
16
16
16
0
25
25
25
0
0
0
16
8
8
8
8
8
2
2
48
32
2
8
0
16
8
8
0
24
24
24
24
32
24
2
2
2
8
8
32
50
50
50
0
0
2
2
4
16
16
16
16
16
16
16
16
4
4
16
16
16
16
0
16
16
16
8
8
8
8
2
0
0
12
12
8
8
8
0
0
0
0
0
0
0
8
8
0
8
1
8
8
8
0
8
0
0
0
0
0
0
8
0
1
1
1
32
32
0
0
0
16
24
16
24
8
4
12
0
0
0
0
0
0
0
0
16
16
9
0
0
24
24
24
16
0
0
0
8
23
0
8
4
8
8
1
2
0
8
0
0
0
16
1
2
8
0
0
0
0
0
0
2
2
17
16
17
17
17
17
8
40
40
2
2
8
8
8
38
38
38
38
38
38
38
38
38
38
38
8
16
16
8
8
8
0
16
16
0
8
8
26
0
8
8
8
33
16
16
16
16
16
16
2
2
2
2
2
8
8
25
8
0
16
3
16
16
0
0
0
1
2
8
0
2
2
2
0
8
0
20
32
32
8
16
0
0
8
8
8
8
8
8
8
16
16
1
16
16
8
1
1
0
0
0
0
8
0
0
1
0
16
16
16
0
0
5
2
4
2
16
16
0
4
0
0
4
17
16
8
8
16
16
16
0
0
16
16
16
16
8
0
0
8
8
2
16
16
16
16
16
0
8
0
1
1
0
0
0
0
0
4
8
2
2
8
8
0
0
0
10
48
8
8
0
0
8
0
0
8
8
8
0
0
8
8
8
8
8
8
8
8
20
0
2
2
2
2
2
0
0
0
0
1
1
0
0
16
16
0
0
0
0
0
16
0
9
8
12
4
4
16
12
0
0
0
8
24
0
0
20
20
6
8
8
0
0
4
1
0
16
16
16
2
2
2
1
1
1
0
0
8
8
8
0
0
4
4
8
8
8
8
0
0
0
0
8
8
8
8
8
16
0
8
8
8
16
0
0
0
0
16
16
16
32
0
2
2
4
2
2
0
0
16
16
8
0
0
1
4
4
4
10
8
8
8
8
0
0
0
16
16
16
16
16
0
0
0
0
2
2
16
8
1
0
4
25
4
0
8
0
8
8
8
8
32
2
0
0
20
16
8
8
8
8
8
2
0
32
32
38
38
32
32
16
16
0
8
16
0
6
0
2
8
8
0
0
0
0
16
0
0
0
1
0
0
8
8
8
8
8
16
16
24
24
24
24
2
2
0
0
8
0
1
8
8
8
2
8
8
32
8
17
0
4
17
17
4
16
16
0
8
20
8
0
8
4
0
8
16
26
24
8
8
0
16
16
16
16
8
3
3
8
0
0
32
8
0
0
0
0
8
8
8
22
0
0
0
0
0
0
0
16
28
16
0
0
0
0
0
0
0
0
18
18
16
0
0
0
0
0
0
29
29
8
8
8
8
8
2
22
6
0
2
8
8
8
9
0
28
28
28
0
8
8
0
16
0
16
16
8
24
24
0
0
1
1
0
0
0
0
0
8
8
0
8
0
25
4
4
8
0
0
0
0
0
16
32
8
16
16
0
0
16
16
32
0
8
8
16
16
16
16
0
8
8
0
0
16
8
40
1
1
0
4
2
2
2
2
4
22
22
16
16
4
4
4
4
4
16
16
32
32
0
0
16
10
8
8
8
8
8
0
0
8
8
8
1
0
8
8
16
16
16
4
4
16
0
0
0
0
0
0
0
0
0
0
0
0
25
0
0
0
1
1
1
1
8
8
8
8
8
8
8
8
8
27
0
8
8
0
0
0
0
0
0
0
0
1
0
2
2
16
16
0
0
0
0
8
0
8
0
0
0
0
0
0
0
2
8
8
8
8
32
16
16
16
0
8
18
18
0
0
0
0
4
4
4
4
0
2
18
18
2
0
0
0
0
1
1
8
0
2
2
2
8
8
8
4
8
0
8
16
8
8
8
2
0
0
0
8
8
8
8
8
9
16
16
16
32
32
53
53
32
16
16
16
0
0
0
8
18
18
9
0
4
16
16
32
0
0
8
26
8
8
8
8
8
0
0
0
0
0
0
16
0
0
4
0
16
16
16
8
2
2
2
16
24
24
8
8
8
0
1
0
8
8
0
0
0
26
26
1
8
0
0
0
2
2
8
8
0
0
8
4
4
4
4
4
16
16
1
8
13
13
13
8
8
8
8
0
0
16
0
0
0
0
0
1
1
4
4
0
0
0
0
1
4
8
4
4
50
2
2
2
4
4
4
8
8
8
8
20
16
16
16
16
16
8
0
2
8
0
9
4
0
32
0
0
0
0
8
0
0
0
0
0
0
2
19
0
16
16
0
16
16
0
4
0
24
8
11
4
0
0
0
0
33
33
16
0
8
16
16
32
2
0
0
32
32
0
0
0
24
8
8
0
8
11
11
11
2
8
8
0
4
4
0
0
0
0
0
1
16
20
0
0
8
16
8
8
8
8
10
0
0
16
24
16
0
0
4
4
24
0
0
0
8
0
8
8
8
8
8
9
0
0
0
0
0
0
0
16
0
16
1
0
36
36
0
0
1
16
0
16
8
8
8
8
8
8
8
6
20
8
8
8
8
16
24
16
16
8
8
24
18
4
16
16
4
8
8
26
16
16
0
16
8
16
8
0
16
0
7
23
1
4
4
4
0
8
2
8
16
16
8
8
30
30
30
8
8
0
8
2
0
0
0
0
0
0
0
0
0
0
2
0
8
24
4
2
2
8
8
8
8
8
8
8
0
4
4
16
8
0
4
8
8
8
8
8
8
0
16
4
4
1
4
4
0
8
0
16
4
8
8
0
0
0
0
2
2
2
32
0
16
16
1
0
0
0
8
0
0
0
0
2
0
0
16
0
16
8
8
8
8
0
32
1
0
0
1
1
1
4
16
16
0
2
16
16
0
0
0
1
29
29
8
0
8
0
0
8
16
16
40
16
8
6
0
16
4
4
1
1
1
16
0
0
36
8
18
18
8
16
16
0
0
0
1
0
0
0
0
0
0
0
0
0
16
16
4
4
33
32
32
32
0
1
4
17
17
8
0
8
0
0
0
1
1
1
1
2
2
2
2
8
8
0
0
8
4
0
16
0
24
8
8
8
0
8
8
8
0
0
32
0
0
8
8
8
0
0
0
0
2
0
0
1
1
16
0
32
32
32
8
0
8
8
24
24
0
0
0
0
8
8
0
0
0
0
0
8
8
8
2
2
2
8
8
8
4
0
16
12
12
12
1
1
1
0
8
0
0
16
0
16
16
16
16
16
0
0
16
8
0
8
8
0
1
1
16
0
0
0
0
8
8
8
8
8
8
24
0
0
0
0
8
8
8
8
8
0
0
16
8
20
16
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
1
8
8
8
16
16
16
16
16
16
8
8
8
0
1
1
16
0
0
0
16
16
16
0
0
8
0
0
8
8
8
8
8
8
8
8
56
56
8
0
0
0
0
0
0
0
16
8
8
8
0
0
0
0
8
8
0
16
16
16
16
16
16
16
8
8
8
32
20
0
0
0
0
0
0
0
0
8
8
0
0
8
16
4
4
7
4
9
24
8
8
0
0
0
8
0
0
0
0
16
16
16
1
0
0
0
0
0
4
16
32
32
32
0
8
8
8
4
0
0
0
0
0
0
0
1
1
4
8
1
1
32
0
0
0
0
2
2
2
2
2
8
0
0
0
1
1
2
2
9
8
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
24
24
0
8
0
0
0
0
0
0
32
0
0
0
0
8
1
4
4
16
16
0
16
0
9
8
0
8
0
0
0
0
8
4
16
16
16
16
16
16
8
8
8
16
16
8
8
8
8
16
16
16
16
16
16
16
16
16
16
16
16
8
4
0
25
8
0
0
16
0
8
8
12
12
32
32
4
4
8
8
0
8
8
8
8
0
0
0
16
0
0
8
16
16
18
16
16
16
16
8
8
0
0
8
16
0
16
16
0
0
0
8
8
0
0
8
8
8
0
0
4
4
56
8
8
8
8
8
0
8
0
0
10
21
4
4
4
4
4
0
0
0
0
32
32
0
4
16
16
0
0
0
0
0
0
0
0
16
0
0
0
0
0
8
8
8
8
8
16
16
0
0
0
0
8
8
2
2
8
8
8
8
0
6
16
16
16
1
0
16
16
16
16
32
0
0
24
2
2
2
2
8
8
16
2
2
32
0
0
0
4
1
8
8
8
16
16
16
16
0
8
2
0
4
4
8
8
0
57
8
0
0
0
0
0
0
1
1
1
1
1
1
0
0
4
4
0
16
0
8
0
8
8
8
2
2
2
2
8
8
24
8
20
20
0
0
0
0
8
8
8
8
8
8
16
4
1
16
16
16
16
0
3
4
4
16
8
8
8
8
8
8
8
8
8
13
8
57
8
32
32
0
16
16
33
1
1
1
1
1
8
24
8
8
8
16
20
16
16
16
16
16
0
8
8
4
0
0
0
4
4
0
0
0
0
0
0
2
1
1
1
1
1
0
8
8
8
8
8
16
8
8
0
0
0
0
8
0
0
0
0
4
0
0
12
8
8
8
8
8
8
8
0
6
0
0
8
0
16
8
8
24
16
16
16
8
8
0
8
0
0
1
1
1
1
16
4
4
8
8
9
0
0
24
24
16
0
16
0
24
32
32
32
32
16
8
0
0
0
0
0
0
0
2
2
41
8
8
8
8
16
0
16
32
32
16
16
0
4
0
0
0
8
24
8
12
8
8
0
0
0
2
16
9
9
40
40
1
0
0
0
0
50
2
2
16
0
8
0
0
0
0
1
1
0
0
0
36
36
36
32
32
32
8
8
0
4
4
4
4
4
4
4
0
0
16
16
16
16
16
0
16
8
4
0
4
4
0
0
0
0
9
8
8
8
8
8
8
0
1
24
8
8
8
8
8
8
8
8
8
0
0
24
8
4
4
16
16
16
16
0
4
0
0
0
0
0
8
9
8
8
8
1
1
1
1
1
0
0
0
0
0
4
4
0
0
19
16
16
16
16
10
6
6
0
0
2
16
16
16
8
8
8
0
0
0
4
4
4
0
0
0
2
2
0
2
2
2
2
0
0
0
0
0
4
4
4
4
0
1
1
0
6
0
0
1
8
0
16
16
4
0
4
4
8
2
2
2
16
16
16
16
0
0
0
0
8
4
4
0
0
0
16
17
16
4
0
0
8
8
0
16
4
2
4
4
16
0
0
12
8
4
0
0
0
0
1
4
4
0
8
22
1
4
4
4
4
4
2
2
24
8
0
0
0
8
8
0
3
8
4
16
16
16
16
16
8
8
0
0
0
2
2
2
0
6
0
2
2
8
8
2
0
8
8
8
16
8
18
16
24
24
24
24
0
0
2
0
0
0
2
9
0
16
32
0
9
9
0
0
0
2
1
1
1
0
0
1
0
2
4
0
6
16
0
0
0
0
0
5
2
2
0
0
0
0
1
1
24
24
24
0
0
0
0
0
0
0
16
0
8
8
0
0
0
8
16
16
16
16
16
0
0
0
0
1
0
4
16
1
1
1
12
0
2
0
0
0
8
8
0
0
0
0
16
4
4
4
0
4
0
16
33
32
16
2
2
0
8
0
0
0
16
16
0
0
0
8
8
16
16
0
12
12
8
32
48
16
1
8
4
4
4
0
0
16
16
16
16
16
8
4
12
8
8
8
4
4
4
0
0
0
16
0
0
0
0
8
8
2
17
0
0
2
2
2
16
16
4
4
8
0
0
0
16
16
8
0
0
8
0
0
8
8
8
8
8
0
0
0
16
16
16
16
16
16
0
16
0
40
0
0
0
16
0
2
2
0
0
0
0
16
0
0
16
8
1
0
0
8
8
8
8
0
16
16
16
0
0
0
8
8
0
40
0
32
16
16
4
0
9
9
1
0
10
0
0
0
16
16
16
33
33
16
16
16
16
1
8
16
16
16
16
16
16
16
8
8
8
24
25
25
0
16
16
18
18
8
0
0
8
4
4
4
8
8
8
8
8
0
25
16
16
16
8
0
8
0
48
48
1
1
0
0
0
4
0
16
16
16
0
0
16
8
8
8
8
8
8
8
1
1
0
2
16
16
16
16
16
16
16
16
16
8
0
4
0
0
0
0
0
2
2
16
16
16
16
32
16
22
0
8
8
8
8
28
8
32
12
16
4
4
4
0
8
16
16
0
24
24
24
38
0
4
4
0
0
16
8
8
0
32
0
0
0
16
16
16
0
4
4
0
16
4
16
16
0
8
0
0
1
1
16
16
9
9
16
16
16
0
0
0
0
0
8
0
0
4
4
0
0
0
0
16
16
44
24
9
16
16
16
0
0
0
56
0
0
8
0
4
4
0
0
0
24
24
24
24
24
24
24
24
8
16
16
0
0
0
0
0
8
8
0
32
0
16
16
16
4
4
16
16
8
0
1
1
1
8
0
0
0
0
16
0
0
0
0
0
8
1
8
8
8
32
8
36
0
0
8
8
8
8
8
8
8
8
4
0
1
1
0
8
1
1
1
16
16
8
16
0
0
2
16
16
16
16
16
0
1
1
0
16
4
4
4
0
8
2
12
12
8
12
8
28
8
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
8
0
0
4
4
0
0
18
18
0
0
12
12
4
0
0
16
16
0
16
16
16
8
8
0
4
12
0
0
8
0
0
2
2
2
2
2
0
4
4
8
16
1
8
32
16
16
0
6
16
1
0
16
0
0
0
8
3
0
0
0
1
0
0
0
16
16
16
1
16
16
16
0
0
0
0
0
0
24
0
0
16
16
4
16
16
8
0
9
9
0
0
8
24
16
16
16
0
0
0
0
28
8
0
0
0
0
0
0
16
8
24
8
8
8
28
28
4
16
8
8
0
2
0
0
0
0
0
0
16
16
16
8
8
34
34
34
0
8
8
0
0
0
8
8
0
0
0
0
8
0
0
0
8
24
16
16
8
4
0
8
8
8
0
24
40
40
40
4
16
2
16
16
0
8
0
0
0
0
1
10
0
0
16
16
22
22
8
8
20
8
1
0
2
16
16
40
40
0
0
0
16
0
8
0
0
16
16
0
0
1
16
0
0
8
8
8
0
0
0
16
0
0
0
0
16
16
16
16
16
0
0
0
1
8
16
0
8
8
8
8
8
20
0
16
16
16
0
0
0
0
0
0
9
9
0
8
44
16
24
0
0
1
16
16
16
16
0
12
0
0
0
4
16
0
0
0
16
16
0
0
16
24
16
0
24
8
8
8
8
4
24
28
16
40
16
16
0
0
8
8
8
0
16
16
16
16
16
16
16
16
17
0
8
20
20
0
4
8
8
9
16
16
16
8
8
8
8
8
0
4
4
4
0
0
16
8
8
0
0
0
0
16
30
16
16
12
4
8
3
16
8
8
8
18
18
18
0
0
0
2
2
2
2
2
2
2
0
0
4
16
16
16
16
0
16
0
1
0
8
0
0
9
9
2
0
8
8
8
8
16
16
16
0
0
0
0
0
0
17
0
25
0
0
0
0
8
0
0
0
0
10
10
56
26
26
4
0
8
8
24
24
24
24
13
13
13
13
13
13
32
32
0
16
16
8
0
0
32
32
32
8
12
17
8
8
8
8
0
0
0
16
4
4
16
0
0
0
0
0
16
16
26
8
8
0
0
0
8
0
8
8
12
12
1
4
0
0
8
8
0
16
24
24
8
0
0
16
16
16
0
1
0
0
0
8
0
8
0
0
0
0
0
8
8
8
4
4
8
4
0
0
0
0
0
0
0
0
0
4
5
21
21
8
0
4
8
8
8
12
4
4
4
9
9
0
0
16
0
0
0
2
2
2
16
16
16
16
16
24
4
4
0
8
8
8
0
0
8
4
4
4
8
0
8
8
8
4
16
16
16
16
0
0
4
4
8
0
8
8
8
10
3
3
3
3
3
0
24
8
8
8
0
0
0
4
8
8
0
0
24
0
0
0
0
24
24
8
8
16
4
0
0
8
8
8
32
40
40
8
16
0
8
0
0
8
0
0
0
0
0
1
27
11
16
20
16
16
16
0
0
8
4
6
6
17
17
0
0
0
0
0
0
16
0
16
16
16
16
16
8
8
8
0
0
0
0
16
4
4
6
8
8
0
0
0
0
0
16
2
16
16
8
8
8
0
0
16
16
0
8
8
8
8
4
4
4
4
0
32
33
32
0
10
8
8
8
6
6
0
32
8
8
0
8
0
1
8
0
0
0
0
8
8
8
8
8
0
8
8
8
8
8
8
8
16
60
60
8
0
17
0
0
0
0
0
0
0
16
32
32
1
8
0
25
25
25
8
8
1
1
1
12
4
8
8
4
1
0
0
0
0
0
16
16
0
0
24
24
0
1
0
0
8
16
16
16
0
8
0
0
0
0
0
0
0
1
3
3
3
8
0
12
16
1
0
32
32
32
24
0
0
0
8
0
17
32
8
0
0
0
1
1
8
4
16
0
0
1
1
16
0
4
0
40
0
30
30
30
4
16
16
0
1
1
1
8
8
16
16
16
0
2
16
16
16
21
16
0
0
0
0
0
8
0
1
0
8
8
8
8
17
0
0
16
16
16
16
16
0
0
0
1
0
0
0
0
0
0
0
0
0
4
0
0
8
16
16
16
0
0
0
0
0
4
0
4
4
8
12
12
12
4
0
0
2
2
0
0
0
1
1
24
16
16
16
16
16
16
16
16
0
16
4
0
8
8
8
8
0
0
0
0
0
0
2
8
8
9
16
16
16
16
16
0
0
8
8
8
0
16
16
16
16
0
6
0
0
0
16
8
8
0
0
1
16
16
16
16
8
8
8
0
0
0
8
16
16
16
9
0
8
8
8
0
0
0
0
8
0
0
0
0
0
8
8
8
8
8
8
16
0
20
20
20
8
24
0
0
8
8
8
8
8
8
0
8
0
0
24
25
0
0
16
4
1
0
0
0
18
16
48
48
48
48
48
48
12
0
0
0
16
16
16
16
16
16
0
16
16
16
17
17
17
0
0
0
8
16
12
12
16
8
2
8
8
8
0
1
1
4
0
8
8
8
8
8
1
1
1
1
8
0
2
2
2
2
2
8
0
0
0
0
0
0
8
0
32
0
16
16
16
16
8
8
8
8
4
0
0
16
8
8
0
8
3
2
0
0
0
0
0
8
0
0
16
16
16
16
16
16
16
8
1
1
1
4
4
8
8
8
8
8
8
8
0
8
8
17
17
18
0
32
32
2
2
16
16
0
1
0
4
4
8
0
8
8
0
0
16
16
16
4
4
4
4
0
8
8
0
4
0
8
1
16
0
32
4
4
16
18
0
8
16
25
16
16
8
32
16
24
2
0
8
0
8
16
16
0
0
16
4
16
40
40
0
0
57
0
0
16
0
1
4
8
0
0
0
0
0
0
1
1
8
8
0
1
1
1
1
1
8
0
0
0
1
8
8
0
32
32
32
32
32
16
16
16
8
2
2
2
16
16
16
0
0
0
8
24
8
8
0
4
0
0
8
17
6
16
16
16
0
8
8
8
2
2
8
4
0
0
16
0
0
0
0
0
16
0
0
0
9
8
8
0
0
4
4
4
4
0
0
0
22
16
0
8
8
8
8
8
8
8
16
16
0
8
8
8
8
16
16
8
1
8
8
0
0
4
16
16
16
16
16
4
24
24
4
0
1
1
1
1
1
16
16
16
16
8
8
4
4
4
2
8
10
0
0
16
16
0
0
2
0
4
8
8
0
8
8
8
40
8
4
24
12
8
36
36
4
4
4
8
8
8
8
8
4
16
4
16
8
1
16
16
0
4
0
2
0
16
4
0
0
0
0
0
1
2
2
24
8
8
0
0
8
0
24
8
20
4
0
0
16
52
0
8
0
0
0
0
0
0
0
0
32
32
16
16
16
16
16
0
0
16
0
0
0
0
0
0
8
16
16
16
16
16
16
0
24
0
8
8
8
52
8
8
8
8
1
16
8
34
34
0
0
0
0
0
8
8
8
8
0
0
0
32
0
0
16
8
9
4
25
3
3
16
8
0
0
4
4
16
36
36
8
16
8
16
16
0
0
0
4
2
2
8
0
0
24
0
8
0
16
16
1
1
8
1
8
16
16
16
16
0
24
2
0
10
10
0
0
0
0
8
0
1
1
1
1
1
10
0
0
8
32
2
8
8
8
8
8
8
8
0
8
2
0
8
16
16
16
28
4
4
4
4
4
8
8
1
1
1
16
0
16
16
0
0
12
2
2
0
0
4
0
32
0
8
0
0
0
0
16
16
16
16
16
16
8
0
0
0
4
4
4
1
0
0
8
0
0
4
12
12
8
8
0
16
24
24
24
24
24
24
24
16
16
16
16
16
24
24
1
1
1
1
1
1
1
1
1
1
1
1
0
0
2
2
2
8
16
16
16
16
2
2
2
32
0
40
40
1
1
16
12
16
16
16
0
0
16
8
12
8
4
4
4
4
8
8
4
8
8
0
0
0
0
16
24
0
33
16
0
32
0
8
8
8
8
0
0
0
16
0
0
16
0
8
1
16
4
4
0
0
8
32
0
8
0
0
0
0
0
4
4
0
0
4
4
4
18
8
0
0
0
0
0
0
0
0
0
0
0
48
48
8
8
8
24
8
16
0
8
8
0
0
0
8
0
1
8
8
8
16
8
8
8
16
16
16
16
16
16
16
16
16
0
0
4
4
4
4
16
0
0
2
1
1
1
0
1
1
10
8
8
24
8
16
24
8
8
8
0
8
8
4
24
8
8
8
8
8
0
8
0
0
16
16
16
24
0
4
0
8
8
0
0
0
0
0
0
0
16
8
16
4
0
8
8
0
0
4
16
0
0
14
14
14
16
1
4
8
24
4
4
16
8
16
16
8
0
8
8
8
8
8
8
0
0
4
4
4
0
0
2
2
4
24
24
0
4
4
4
16
2
26
1
1
4
0
8
8
32
0
8
0
8
8
8
4
17
4
0
0
24
8
8
8
1
0
20
20
20
16
8
8
0
0
0
16
1
8
8
1
8
8
8
8
0
17
32
0
0
0
8
1
1
0
8
16
16
16
0
16
16
16
0
12
16
16
0
8
1
1
1
8
0
0
0
0
8
8
8
0
4
4
4
1
1
8
8
8
24
24
0
2
0
2
8
8
8
0
8
3
8
8
8
8
16
16
0
0
0
0
0
0
0
4
12
0
8
0
0
8
8
8
16
16
16
16
16
16
16
1
1
1
1
1
1
8
16
0
8
8
0
0
16
16
16
8
0
32
0
8
8
2
0
0
4
4
4
4
4
24
8
8
8
16
8
8
0
0
0
16
4
8
12
2
0
0
8
0
8
8
8
16
16
4
4
8
16
16
16
8
0
0
0
8
3
8
0
8
8
8
16
8
8
16
16
16
4
0
17
17
17
8
1
1
1
0
2
2
16
8
20
20
16
16
16
0
0
0
10
8
8
8
16
16
8
8
8
8
0
0
0
16
8
8
8
0
2
2
2
2
0
16
16
1
0
0
0
0
8
16
0
0
20
0
0
0
0
0
0
0
0
8
2
2
0
8
8
0
0
0
24
8
8
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
8
0
4
4
0
16
0
0
16
16
16
4
0
0
17
16
16
16
16
0
0
0
32
8
8
8
1
36
36
12
8
8
0
0
0
0
0
2
2
2
0
0
1
8
8
16
16
16
16
8
8
16
16
8
8
32
0
16
8
20
0
0
0
0
16
16
16
0
32
0
0
1
16
2
28
28
4
0
0
8
8
2
8
4
28
24
4
4
8
8
8
8
49
16
0
2
2
8
16
16
8
16
39
28
6
16
0
0
8
8
16
16
0
0
0
0
8
16
16
8
8
8
8
16
16
8
0
0
0
0
16
16
0
18
6
6
0
0
0
0
0
0
4
4
4
4
4
8
0
9
0
0
0
16
16
8
8
8
24
5
5
5
5
5
8
8
16
0
0
0
0
0
16
16
16
8
0
0
1
1
0
33
0
0
0
0
16
16
16
16
8
8
8
4
8
8
8
8
8
16
18
18
0
0
0
8
17
2
2
16
32
0
16
0
16
8
8
8
8
8
16
16
16
32
1
2
36
36
16
0
8
16
0
8
2
0
4
4
4
16
8
8
8
24
24
24
24
24
24
8
0
0
8
8
0
8
16
2
1
16
16
16
16
16
16
8
8
4
4
16
16
16
16
8
8
0
16
8
24
0
8
8
0
0
0
0
32
32
2
0
20
20
0
2
24
24
4
20
16
0
0
0
8
16
16
16
16
0
0
2
2
2
2
2
0
0
0
16
24
0
0
0
0
16
8
0
8
8
8
0
16
16
2
32
32
8
8
8
8
8
0
0
24
24
0
4
0
0
0
0
16
16
16
16
16
16
0
0
0
0
0
0
16
1
1
16
16
24
16
16
0
0
0
0
0
0
0
0
0
24
0
0
8
8
8
8
0
0
32
16
16
16
0
34
34
8
8
42
8
8
8
16
16
0
0
0
17
0
16
0
0
0
0
0
16
8
9
0
4
0
2
0
0
1
0
0
8
1
1
1
2
2
0
0
0
0
0
0
0
8
4
4
16
16
8
16
16
16
20
0
0
16
16
1
1
8
8
8
8
8
0
1
8
9
9
8
8
0
0
0
2
16
0
6
2
8
8
8
9
9
0
0
8
2
2
0
0
0
8
8
8
8
8
16
16
16
0
0
8
16
16
4
0
0
0
0
4
8
8
24
24
24
16
16
9
1
1
1
0
0
20
20
20
20
20
41
8
0
8
16
16
16
16
16
0
0
8
2
2
2
2
2
16
16
16
0
2
1
1
1
1
1
1
1
8
9
8
8
32
32
32
32
16
16
16
0
0
8
16
8
4
2
8
16
16
0
0
8
16
4
32
32
0
24
28
24
17
17
1
1
17
1
17
9
2
0
0
0
0
0
1
1
0
0
8
0
4
4
8
8
8
0
0
8
4
0
0
8
8
8
0
0
16
0
0
0
0
0
0
0
0
2
0
2
2
2
9
9
0
4
0
0
0
16
16
16
16
16
16
16
16
16
16
8
0
0
10
0
16
0
0
8
0
0
0
0
8
8
8
8
16
16
16
16
20
20
0
0
0
16
16
16
16
16
16
16
16
0
0
0
8
8
16
16
16
0
8
8
0
0
16
16
16
0
4
4
4
8
8
16
16
0
32
8
8
8
8
2
0
16
16
16
4
4
4
4
2
0
24
2
2
0
0
0
1
10
10
1
0
4
16
16
1
1
1
0
8
8
8
8
8
0
8
8
8
17
0
2
0
8
8
16
16
24
24
0
22
4
2
0
0
0
0
0
0
0
0
2
2
0
2
2
2
2
2
2
2
2
0
8
0
0
16
0
0
16
4
4
4
4
16
2
0
0
16
17
16
0
10
10
8
8
8
8
8
8
8
8
0
0
0
0
0
0
8
8
16
16
16
0
0
0
33
0
0
0
0
8
20
0
0
0
0
0
32
1
16
16
16
16
16
16
58
0
16
16
24
16
16
8
16
0
0
0
0
59
8
24
0
1
8
8
8
56
56
8
17
0
0
8
0
4
8
0
16
16
0
0
0
35
35
0
8
2
24
2
4
4
8
8
8
24
16
16
24
8
8
8
8
32
0
0
0
0
21
21
8
0
8
40
4
4
16
58
1
8
0
0
8
4
16
16
0
0
16
16
16
16
16
0
0
16
16
16
16
0
0
8
1
0
24
16
16
0
8
1
0
0
0
0
32
0
0
0
1
1
16
8
8
8
0
8
0
0
0
0
3
3
0
0
0
2
2
8
0
0
0
0
0
24
8
8
8
0
0
0
0
9
8
8
32
8
8
8
8
8
8
8
0
0
0
0
0
0
0
4
8
8
18
18
18
8
12
8
0
20
0
0
4
8
4
9
0
4
0
0
8
8
8
0
8
32
16
16
1
16
0
16
16
16
16
16
16
16
1
8
8
0
16
0
2
2
16
16
0
0
0
0
24
2
8
2
2
0
0
0
0
0
4
0
16
8
8
8
8
0
0
16
16
1
1
2
2
16
36
32
32
0
2
4
8
8
8
2
0
16
16
16
16
8
8
0
0
0
0
0
8
0
0
8
8
8
4
0
0
0
0
1
1
1
16
16
2
2
0
0
0
16
16
0
0
17
0
8
24
16
16
0
4
0
0
0
0
16
1
8
1
0
8
0
8
8
0
0
42
16
8
8
8
8
4
4
4
8
4
4
24
24
2
2
2
2
2
2
4
2
0
8
16
8
24
24
16
2
24
2
0
0
8
8
8
8
1
1
1
16
0
0
0
0
0
0
0
0
0
20
8
4
40
0
0
0
0
1
8
8
16
16
0
0
0
0
0
0
8
0
16
16
16
16
0
16
16
2
2
2
2
0
16
16
16
16
2
8
16
16
0
4
2
16
16
0
0
8
8
0
0
0
20
4
16
16
16
0
10
8
2
2
4
4
8
2
8
8
16
16
1
0
32
32
0
0
0
8
8
8
8
8
0
16
2
8
33
0
0
0
36
0
0
3
8
8
0
0
0
0
0
32
32
16
8
0
16
0
0
20
20
0
0
0
1
9
9
9
0
0
0
8
8
8
8
0
0
4
4
16
16
16
16
16
16
0
0
0
0
0
0
0
8
8
8
0
28
16
0
8
8
32
0
32
16
0
0
8
16
2
2
0
4
4
4
0
0
0
0
0
0
0
40
8
8
20
1
1
0
6
2
6
56
16
2
16
16
16
8
8
8
2
8
8
8
0
10
2
2
24
24
12
4
32
32
8
8
8
8
8
24
0
0
0
0
0
16
2
0
0
17
32
24
8
0
16
0
24
2
8
8
0
8
8
16
16
16
16
0
0
0
0
40
0
0
16
16
16
16
16
0
0
8
2
2
2
17
8
8
0
8
8
8
4
4
0
1
1
1
1
1
16
8
24
8
8
8
8
0
32
16
16
24
8
0
1
0
0
8
8
2
2
2
0
0
0
0
0
8
1
1
3
3
0
33
24
8
0
8
8
0
2
2
2
0
8
8
4
2
2
16
0
8
0
0
0
57
57
57
8
0
0
0
16
16
16
16
0
0
0
0
16
0
0
8
8
16
8
0
0
0
0
8
8
0
0
12
12
16
1
21
0
0
0
0
0
0
4
4
16
16
0
0
8
8
16
16
16
16
16
0
48
48
8
8
0
8
1
16
16
16
34
4
0
2
56
56
8
8
8
8
0
4
0
1
0
0
0
8
8
16
16
0
17
22
6
6
16
16
36
36
8
8
16
8
8
4
4
0
0
0
24
8
8
8
8
0
16
16
16
16
0
0
0
0
8
16
16
16
2
16
16
16
16
16
0
2
2
0
0
0
1
1
1
1
1
2
8
8
8
0
16
16
16
0
0
16
8
4
2
8
1
16
0
1
16
16
16
16
0
0
0
0
0
0
0
0
0
6
0
16
16
0
0
42
0
16
16
16
16
8
8
8
8
8
8
8
0
0
8
8
8
0
0
0
0
0
0
21
21
24
24
32
0
8
8
0
8
36
16
16
16
8
8
1
1
1
0
0
0
16
16
16
0
0
0
16
0
0
12
8
8
8
0
16
16
16
16
16
12
12
12
12
8
0
0
8
2
2
0
8
12
4
16
8
16
16
16
16
16
0
8
16
2
8
8
8
8
0
0
4
4
0
0
4
2
2
2
0
2
2
2
6
6
9
16
16
16
0
0
0
8
8
60
8
0
8
0
0
0
0
16
16
1
4
0
0
0
0
0
8
0
0
8
8
8
20
16
16
0
4
16
8
24
0
0
0
8
8
8
0
0
16
16
16
0
0
16
16
16
0
0
0
0
8
5
16
0
4
4
8
8
0
0
8
8
8
16
16
1
1
1
0
0
0
0
4
17
4
4
4
4
8
8
8
0
0
16
16
16
16
16
16
16
25
0
0
8
8
0
0
0
0
0
16
2
28
8
8
8
8
16
16
16
16
16
24
8
4
16
0
16
17
17
0
0
0
0
8
1
24
24
3
4
8
2
8
0
4
0
16
0
4
8
0
0
16
16
8
8
0
8
0
8
8
8
0
0
24
24
24
24
24
0
22
0
0
0
0
0
8
0
0
4
4
8
8
8
1
1
1
0
8
18
16
16
16
0
16
16
16
0
0
4
17
16
16
16
0
16
8
0
16
16
18
1
4
4
4
16
32
8
28
28
28
0
2
2
8
8
8
6
4
0
0
0
8
2
0
8
4
1
1
12
12
12
0
1
1
0
0
0
32
32
1
0
0
1
1
1
1
0
0
0
16
16
16
0
18
18
16
20
20
20
8
8
8
0
8
8
20
0
18
0
16
16
16
16
16
16
16
18
16
8
8
1
16
16
8
8
8
8
8
8
8
8
8
8
1
3
1
8
16
16
16
16
8
8
0
16
8
8
8
8
24
0
0
0
0
8
8
4
4
0
0
0
12
0
0
0
4
0
2
2
0
0
0
0
0
0
8
0
0
0
0
24
0
2
3
16
16
16
16
12
0
5
4
0
0
0
0
20
8
16
0
0
16
0
0
16
16
0
0
0
16
1
0
0
16
0
0
8
8
0
0
1
1
1
8
2
8
8
8
8
8
0
16
24
16
16
8
0
9
8
0
1
24
24
24
24
24
16
8
1
1
1
0
8
8
2
2
2
2
2
2
2
2
0
0
2
2
0
8
1
20
4
4
8
0
0
4
0
16
8
8
8
0
0
2
16
16
2
2
2
2
8
8
8
8
8
0
0
0
1
14
0
1
1
32
32
32
32
0
16
17
17
16
5
4
4
16
16
16
0
2
2
4
16
0
2
2
56
0
0
4
4
42
0
16
16
0
0
8
8
24
0
0
0
16
16
8
4
0
0
0
0
0
8
8
8
8
0
8
25
25
8
10
0
0
0
0
0
4
0
0
50
8
8
8
2
2
2
2
8
8
8
1
16
8
16
16
0
4
4
1
1
21
4
4
0
16
0
0
0
8
8
5
1
14
8
0
19
9
0
4
4
4
2
8
8
8
13
8
8
8
8
8
8
8
8
0
0
1
1
0
8
8
8
0
0
16
0
0
18
0
0
0
0
0
0
0
16
8
4
4
16
16
16
16
0
0
0
0
4
8
8
16
16
16
8
0
0
24
24
0
0
0
0
16
16
8
8
8
8
8
8
32
0
0
24
8
1
8
8
8
17
17
18
0
8
16
16
0
0
0
0
0
4
4
4
4
16
16
8
8
8
16
16
16
16
30
30
0
18
8
8
8
8
0
0
8
8
1
1
8
8
8
0
0
20
20
8
8
8
8
8
8
8
8
4
4
0
1
1
0
0
0
8
8
0
8
8
0
16
16
16
16
8
8
8
16
16
0
16
16
0
0
16
1
0
0
0
4
16
1
0
0
2
2
8
0
32
32
8
4
4
4
0
0
0
16
24
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
8
16
0
16
16
0
0
0
0
4
0
0
4
4
0
0
3
0
0
8
16
16
8
8
0
0
8
8
0
0
8
16
0
0
0
0
0
0
0
16
9
0
1
17
0
4
18
16
0
0
24
0
0
0
0
0
8
0
0
0
0
8
8
8
8
8
8
8
0
0
0
1
1
0
0
24
0
0
0
0
0
0
0
0
8
8
0
0
8
0
2
2
0
0
0
0
0
0
18
16
16
16
16
16
16
0
0
8
0
0
8
16
16
0
0
0
0
0
0
0
0
0
0
8
4
0
0
2
2
2
2
16
16
11
0
8
8
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
24
16
16
8
8
8
8
8
0
0
0
16
8
0
0
8
16
16
4
4
4
4
0
0
32
0
16
0
16
16
16
0
0
0
0
16
0
0
0
0
0
0
2
0
0
24
24
0
0
8
8
0
1
0
0
8
0
8
0
8
8
0
0
0
0
16
0
0
0
16
16
0
0
0
0
0
0
0
0
32
0
0
0
0
2
2
8
8
8
8
0
0
0
0
0
0
24
24
4
0
0
0
0
0
0
2
2
2
0
9
9
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
8
0
16
20
16
0
0
0
0
0
8
8
8
0
0
0
4
0
4
8
0
24
0
8
8
8
0
0
0
0
0
0
0
0
0
4
8
8
8
0
0
16
16
0
8
8
2
2
0
0
8
8
0
0
0
2
2
16
8
8
8
0
0
8
8
8
8
0
0
0
0
8
8
0
8
8
0
0
16
16
16
0
0
0
0
0
4
0
0
0
0
0
9
0
0
0
0
0
0
0
8
32
32
0
0
0
0
0
0
8
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
8
8
0
16
0
0
0
0
0
16
16
4
0
8
8
0
0
0
0
0
8
8
8
8
0
16
0
2
7
16
0
0
0
0
0
0
0
16
16
2
0
0
16
0
0
0
0
0
8
8
16
0
0
0
0
0
1
0
0
0
0
0
0
0
8
0
0
0
0
0
4
24
0
0
8
0
0
0
16
0
0
0
16
8
16
16
16
2
2
2
9
9
0
0
0
0
0
0
0
0
0
0
0
0
26
8
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
8
0
16
0
18
0
0
0
0
10
10
0
0
1
0
4
24
0
0
0
0
0
0
0
0
16
0
0
0
0
0
8
0
0
0
16
8
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
16
16
16
0
0
0
0
0
25
25
0
4
4
0
0
8
0
0
16
16
8
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
24
0
0
16
0
0
32
0
8
8
8
8
0
0
0
0
0
0
0
0
8
0
16
16
1
1
0
0
16
0
16
0
0
4
1
0
1
0
0
0
0
20
20
0
0
8
8
8
0
0
0
0
0
8
17
17
4
0
0
18
1
1
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
16
16
16
8
8
0
0
0
0
0
0
8
9
0
1
0
0
0
8
0
0
0
0
8
0
0
0
0
0
0
0
0
0
1
8
8
0
0
0
0
0
0
16
8
2
0
16
16
0
0
0
0
0
0
0
0
0
32
4
0
8
0
8
32
8
8
8
0
0
0
0
0
0
0
0
0
16
0
0
0
20
8
8
0
0
0
0
0
0
0
0
0
16
8
0
0
8
0
0
0
0
0
0
17
17
20
0
0
0
0
0
0
0
0
0
0
0
0
8
8
2
2
0
1
2
0
0
0
0
6
6
0
0
0
16
2
8
27
24
25
0
0
8
0
16
16
0
0
0
0
2
0
4
0
0
0
2
0
3
0
0
0
0
0
2
8
8
0
0
40
18
0
0
0
0
16
0
8
8
8
0
0
16
0
0
0
32
16
16
0
2
0
0
2
0
0
2
0
0
0
0
0
0
0
4
0
0
8
8
8
8
16
4
0
16
16
0
0
0
0
0
0
0
4
4
4
1
0
0
0
0
16
16
2
0
0
0
0
0
4
1
1
59
59
0
0
0
0
0
0
8
40
8
0
0
0
0
0
0
0
16
20
0
0
2
0
4
0
0
0
0
0
8
48
8
8
0
4
4
4
0
0
16
16
16
16
0
0
4
4
4
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
4
0
0
0
0
24
16
0
0
0
1
1
0
0
16
2
8
16
0
0
0
0
0
0
0
0
0
0
0
2
0
0
8
8
0
0
0
0
4
18
0
0
4
16
16
48
0
0
0
8
0
0
0
8
0
0
0
1
1
16
0
0
8
4
16
16
16
0
0
0
0
0
0
8
8
0
2
8
8
8
0
0
16
0
0
4
56
32
0
0
0
0
0
0
0
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
16
8
8
8
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
24
16
0
0
0
0
16
0
16
2
0
0
0
16
16
16
0
0
0
0
0
0
0
0
0
4
2
0
0
16
16
16
8
8
0
0
0
0
40
8
0
0
0
0
0
0
0
0
16
16
36
36
12
8
0
16
16
4
4
0
0
20
0
0
24
24
24
8
0
0
8
8
0
0
0
1
1
0
0
0
0
0
0
8
2
2
0
0
0
0
0
0
0
0
0
0
20
0
2
0
0
0
0
26
2
2
2
0
12
2
13
56
0
0
0
0
0
0
0
0
16
0
0
0
0
6
6
0
17
0
0
0
0
0
0
16
16
16
0
8
0
0
0
0
8
8
20
20
20
20
8
0
0
0
0
8
0
16
0
0
8
14
14
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
8
0
8
0
2
2
0
0
16
0
0
2
2
2
36
36
8
1
8
8
0
0
0
0
0
0
0
0
0
0
4
4
0
0
0
0
0
0
0
0
0
16
0
0
0
16
16
32
0
10
0
0
0
0
8
0
0
0
0
4
4
4
0
0
0
0
0
0
0
0
0
0
8
0
0
2
0
0
0
0
0
0
8
8
8
12
12
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
8
32
0
2
0
24
24
16
16
16
16
16
8
8
0
2
32
2
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
8
0
0
0
0
0
17
0
0
0
0
0
4
0
0
0
16
16
0
8
8
0
57
57
0
4
16
17
0
8
8
0
0
0
4
4
0
18
8
0
0
0
25
24
24
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
8
1
1
0
0
0
0
0
0
0
4
0
0
0
8
0
0
0
0
0
0
0
8
0
0
0
4
0
0
0
0
0
0
1
1
1
0
0
1
0
0
22
0
0
0
0
17
16
0
0
0
0
0
20
16
4
4
4
4
24
0
0
0
0
0
0
0
0
0
16
0
0
0
48
48
4
0
16
16
0
48
48
8
32
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
44
44
0
0
0
8
0
0
1
1
0
0
0
0
0
40
8
8
0
0
0
0
8
0
0
2
0
16
8
8
16
4
4
1
0
0
0
8
0
16
16
0
0
0
1
0
0
8
12
12
8
8
16
0
16
44
0
0
0
0
0
0
1
1
1
0
0
8
0
0
0
0
0
0
16
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
1
1
0
8
8
0
0
5
0
0
0
16
0
0
8
8
0
0
4
4
8
0
0
16
0
0
0
0
8
0
0
0
8
2
0
1
1
2
0
0
0
0
0
0
8
16
16
16
16
8
8
8
8
1
0
8
0
0
0
0
0
16
0
0
0
0
16
1
0
0
1
0
0
0
2
2
0
0
0
0
0
32
0
0
8
0
0
0
0
2
8
0
0
0
0
0
0
1
1
0
0
0
0
0
25
0
0
1
16
0
0
0
0
0
0
0
8
0
8
0
0
0
0
0
1
1
0
0
0
0
0
0
8
0
8
8
8
8
8
0
0
16
16
16
16
5
8
0
0
0
0
0
16
16
16
0
0
8
0
16
16
4
4
0
0
16
16
0
16
0
0
0
0
8
8
8
8
8
0
0
51
16
0
0
0
1
1
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
16
16
16
0
0
0
16
16
0
0
0
8
8
9
9
0
8
8
0
16
8
36
0
2
0
0
16
0
0
60
60
8
0
16
16
8
0
8
0
0
0
0
0
0
2
16
16
4
4
4
0
18
0
4
0
0
0
16
0
0
0
0
8
8
0
19
0
0
0
16
0
0
4
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
8
0
4
0
0
0
0
0
0
0
0
6
6
0
0
0
0
0
0
0
24
0
4
0
0
0
0
2
2
0
0
0
0
0
0
0
0
8
0
0
16
16
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
1
1
0
0
0
2
0
0
16
16
0
0
0
0
0
16
16
8
8
0
2
2
0
20
8
0
8
0
0
0
0
16
16
0
0
0
16
16
0
28
28
28
28
0
0
0
8
8
0
0
8
8
0
0
0
16
16
18
18
0
0
0
0
0
0
0
0
0
0
8
8
0
0
4
4
4
0
0
6
0
1
0
16
28
0
0
0
0
8
0
0
0
0
4
4
4
0
0
0
0
0
0
0
0
6
0
0
8
8
0
0
0
8
8
4
16
16
16
16
0
0
0
4
4
4
4
4
33
33
0
0
0
0
0
13
13
16
16
16
16
0
0
0
0
0
0
0
0
8
16
16
0
0
0
30
4
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
8
8
0
0
32
32
1
1
0
8
0
0
0
24
0
0
0
0
0
0
4
0
2
0
0
0
0
0
0
0
0
8
8
0
4
4
2
8
0
0
0
0
0
0
0
0
4
0
10
0
0
1
8
0
0
0
8
8
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
16
0
0
0
0
0
0
0
0
16
20
0
0
0
0
0
2
0
8
8
8
0
8
8
8
2
2
1
0
0
0
0
2
16
16
16
4
20
0
0
0
32
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
8
0
0
2
2
2
0
0
0
0
20
20
20
8
8
0
0
8
0
0
24
4
4
0
0
2
0
8
8
0
0
22
22
8
0
0
0
0
0
24
0
0
0
1
0
2
2
0
0
8
8
8
8
0
16
16
8
8
8
8
8
8
0
16
8
8
8
8
0
0
0
0
0
0
4
4
8
8
12
16
8
0
0
24
8
8
8
0
8
0
16
0
0
0
0
0
0
0
0
0
0
0
59
16
0
0
8
0
0
32
0
0
0
0
0
8
16
16
16
1
0
8
0
8
0
0
16
0
8
0
16
0
0
0
0
16
8
0
16
0
0
0
0
8
8
8
0
0
0
25
0
8
8
1
1
0
17
2
0
4
0
0
0
0
0
21
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
16
0
8
8
16
0
0
24
0
0
0
0
0
8
8
8
8
0
0
9
1
1
0
0
2
16
0
0
0
16
16
16
0
0
16
20
16
0
0
0
16
0
0
8
8
0
0
0
1
0
8
0
0
0
24
24
24
0
2
2
0
0
0
0
0
0
16
12
0
0
16
0
8
2
2
0
0
0
0
16
16
16
2
2
8
0
20
16
1
0
8
8
8
8
8
2
1
0
0
28
2
0
0
0
0
8
2
2
0
0
0
8
8
4
0
0
16
24
0
0
0
0
8
8
0
0
8
0
8
8
0
0
0
8
1
0
0
0
0
8
8
8
8
8
8
8
8
8
8
8
0
16
16
0
0
0
8
0
8
0
0
0
1
8
8
0
0
2
8
0
0
1
8
8
0
8
0
12
0
0
0
0
0
0
8
4
48
0
0
0
0
3
24
8
8
2
0
16
16
0
4
0
0
0
0
0
8
8
16
9
0
0
0
12
12
0
16
8
8
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
1
3
0
0
0
0
32
32
1
1
0
0
8
0
8
8
0
0
0
0
0
0
0
0
0
0
0
13
0
16
0
4
6
4
0
0
0
0
8
0
8
0
0
9
0
1
0
0
0
0
0
0
9
1
0
0
0
16
18
4
0
10
8
8
0
16
4
4
4
4
4
0
0
0
4
0
0
0
0
0
0
0
4
4
4
4
8
8
8
8
29
29
0
0
0
1
0
0
0
0
0
4
18
2
0
0
8
0
0
0
8
8
8
8
8
8
0
0
2
16
8
0
0
32
32
16
16
16
8
8
0
0
16
4
4
4
0
0
0
4
4
26
0
16
12
12
8
16
0
0
24
24
24
24
2
0
0
0
0
0
0
0
0
16
0
8
0
0
0
0
0
0
0
0
16
16
0
0
0
8
8
8
0
0
4
0
0
49
49
0
8
8
8
0
0
0
0
0
8
0
0
0
0
0
0
8
16
8
8
4
16
0
0
16
16
0
0
18
0
0
16
0
16
16
8
8
0
0
0
0
8
16
16
1
1
0
0
0
0
0
0
4
0
4
8
9
0
0
0
0
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
4
4
8
8
0
4
0
1
0
0
0
0
0
0
0
8
8
19
0
0
0
2
2
16
0
16
0
0
0
8
2
0
0
0
0
16
4
0
16
16
0
0
0
8
0
0
0
0
0
6
0
2
0
0
17
10
10
0
8
1
8
0
0
0
0
0
0
0
0
8
2
2
8
0
0
0
17
0
0
8
8
8
0
8
20
8
0
8
0
0
0
0
0
4
0
0
0
0
0
0
0
8
0
0
0
16
16
16
0
8
8
8
8
8
0
0
0
24
0
0
32
8
8
1
1
0
1
0
16
9
0
16
16
8
0
0
4
0
0
0
48
0
16
0
0
0
0
0
0
0
0
0
0
4
0
0
0
8
0
0
0
8
8
8
8
0
0
8
0
0
0
0
16
0
0
1
0
0
8
0
16
0
0
0
0
0
0
0
0
0
0
0
0
8
17
0
0
32
0
0
0
0
0
0
0
0
32
0
0
0
0
18
0
2
2
2
2
2
0
0
8
16
0
20
0
0
0
0
0
0
0
0
16
24
0
16
0
8
8
0
0
16
16
16
0
0
0
0
0
2
1
3
1
0
0
0
0
0
0
16
1
0
0
0
0
0
0
32
4
0
16
16
8
8
0
4
11
11
11
32
8
0
0
16
0
8
16
8
8
0
0
0
8
0
0
32
0
0
4
4
4
4
4
0
0
0
0
0
0
0
3
8
0
0
0
0
0
0
0
4
0
0
12
12
0
8
0
0
8
8
12
12
0
0
0
0
0
0
0
0
8
16
16
0
0
0
0
0
0
16
0
0
16
16
0
8
0
0
0
0
16
0
8
24
4
4
0
0
0
0
0
0
0
16
0
0
0
8
8
0
0
2
0
0
0
0
0
16
0
0
0
16
16
16
16
16
0
0
16
16
0
0
4
4
44
0
8
8
48
48
4
36
0
1
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
4
4
0
4
0
0
0
0
8
0
0
4
4
0
0
4
0
0
0
0
0
4
8
8
8
4
4
0
0
0
16
8
0
0
0
1
0
0
0
0
4
4
2
0
16
0
16
0
4
0
3
3
0
0
0
6
0
2
2
2
0
0
0
0
0
24
0
0
0
8
8
8
0
1
32
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
32
0
4
4
0
0
24
24
24
8
0
0
0
0
0
0
24
0
0
0
0
0
16
16
0
8
8
0
0
0
8
0
8
8
0
0
0
16
0
0
0
4
4
4
0
16
8
0
0
0
0
0
8
8
8
0
0
0
0
2
3
3
1
32
1
1
1
0
4
4
4
0
0
16
0
0
0
4
4
0
0
0
8
0
0
0
0
0
0
0
0
8
8
8
8
8
0
0
4
0
0
0
0
11
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
24
24
0
0
24
0
0
9
9
9
0
0
0
0
2
0
0
0
4
4
0
0
0
2
2
2
0
0
2
2
0
0
0
16
16
16
0
16
0
0
0
0
8
0
0
0
0
0
0
0
0
4
0
0
0
0
4
4
0
8
8
8
2
2
0
0
0
0
0
58
58
0
0
0
0
8
8
8
8
0
0
18
0
0
0
24
8
0
0
0
8
8
0
0
0
0
16
16
0
32
0
8
24
0
0
0
0
0
4
0
8
0
0
0
0
0
0
0
8
0
0
2
1
1
0
0
8
16
24
0
12
12
0
0
0
0
0
0
8
8
8
2
1
0
0
0
0
0
0
16
0
0
0
0
0
0
0
16
0
0
0
0
0
16
0
0
8
0
0
32
0
8
8
8
0
0
1
1
0
2
0
0
0
16
18
18
0
8
8
0
0
16
16
16
16
16
16
0
4
0
0
0
0
0
0
0
0
8
8
4
0
0
0
0
0
9
1
8
2
1
0
0
2
2
2
0
24
24
16
0
16
16
0
0
0
4
4
0
0
0
0
0
6
16
0
0
0
0
0
0
0
0
0
0
16
16
16
0
0
0
24
8
0
4
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
8
0
8
0
9
0
0
8
8
34
0
0
16
16
8
0
0
0
0
8
8
0
0
0
16
16
8
1
0
0
0
0
8
16
16
16
16
0
0
0
0
0
0
8
8
24
24
24
16
0
8
8
0
0
0
0
0
0
16
20
0
8
8
8
8
8
12
0
16
16
1
8
8
4
0
0
0
0
8
8
50
4
2
2
4
0
0
2
2
16
16
1
0
0
0
0
0
16
0
16
16
16
0
0
0
0
0
0
16
0
0
0
8
8
0
0
8
8
8
0
0
0
0
0
0
0
0
0
5
0
8
8
8
16
4
0
0
0
0
8
8
0
0
4
4
0
17
17
0
0
0
0
0
0
0
16
0
0
0
0
16
16
16
16
16
16
16
16
16
16
1
0
8
8
0
0
0
0
0
0
0
0
0
8
8
8
8
1
1
1
0
0
0
8
16
16
4
16
0
0
8
8
0
0
52
16
0
16
16
0
0
0
16
24
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
8
8
9
12
12
16
0
0
0
0
0
0
0
16
8
4
0
0
16
8
0
0
0
16
16
8
1
1
24
24
0
8
16
8
8
8
8
8
0
5
5
4
4
0
0
0
4
8
8
2
2
0
0
0
0
0
8
8
8
0
16
16
0
8
0
0
0
16
16
16
16
24
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
8
0
0
0
0
0
16
16
16
0
0
4
2
8
0
0
16
16
0
9
9
8
8
0
0
8
8
0
0
0
0
0
0
0
0
8
8
8
4
5
5
0
8
12
12
12
0
0
0
8
8
8
8
8
8
40
16
8
0
0
0
32
32
8
0
0
0
0
8
16
8
16
1
8
0
16
16
16
16
0
0
0
0
1
1
0
16
0
0
0
0
0
0
8
8
8
0
0
0
0
0
16
0
0
0
0
0
0
8
8
8
0
0
0
0
16
16
16
16
9
0
0
4
0
19
19
0
16
0
24
24
0
16
0
16
0
0
2
0
0
0
0
0
0
0
0
0
6
6
0
2
2
16
16
0
0
0
0
0
8
8
0
32
0
0
0
0
0
0
1
1
0
0
0
0
8
8
0
0
0
0
0
12
4
4
4
0
0
0
4
12
8
4
4
20
20
18
0
0
0
0
0
0
0
4
4
4
0
0
4
0
0
8
18
9
9
0
4
4
4
16
0
0
0
1
16
0
0
0
0
0
0
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
8
0
2
2
9
1
0
0
4
4
4
0
16
16
0
0
16
16
8
8
2
4
8
8
20
0
16
0
16
0
2
2
2
2
17
0
16
0
8
8
0
0
0
0
33
33
33
33
0
0
0
8
0
0
0
8
0
0
32
32
32
0
0
0
12
12
0
0
32
32
9
0
0
0
0
0
0
0
0
0
0
16
16
1
0
0
8
8
0
0
0
0
0
0
0
0
4
4
0
0
0
0
8
0
0
0
8
0
8
8
8
5
0
0
16
32
32
32
0
8
8
8
1
8
0
4
4
16
16
0
0
0
0
0
0
9
0
0
8
8
8
8
8
18
18
0
2
0
0
0
0
16
1
0
8
8
0
0
0
0
28
4
28
0
16
0
0
0
0
0
0
16
16
1
12
0
2
16
16
8
0
32
32
0
0
0
0
24
24
24
8
0
16
0
0
0
0
0
0
0
0
0
8
0
0
0
2
2
2
0
16
16
0
0
0
0
0
0
1
12
40
0
0
0
0
0
0
0
0
0
0
0
24
6
6
0
0
0
2
2
2
2
16
16
16
0
16
0
0
16
16
8
8
0
0
0
0
0
0
0
8
0
4
0
0
8
8
0
0
0
8
0
8
8
8
0
0
0
41
0
16
0
0
0
8
0
0
0
0
32
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
9
4
0
0
0
4
0
0
0
10
10
10
10
0
0
0
4
0
0
0
0
0
0
0
21
0
0
0
2
2
2
0
8
8
8
16
8
8
8
8
20
0
0
0
0
0
8
8
8
0
0
8
24
24
0
0
0
0
16
0
0
4
4
8
8
0
2
0
16
16
0
0
0
0
0
32
0
0
0
8
8
8
0
8
8
1
0
0
0
0
0
0
16
16
16
0
16
0
0
10
0
0
8
8
8
8
0
24
4
4
0
1
0
0
1
0
0
1
1
0
2
0
0
4
4
0
0
24
0
0
2
18
57
17
17
17
0
16
16
12
1
0
8
0
0
16
16
0
0
4
4
8
8
8
0
0
8
8
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
8
6
0
0
0
8
0
0
8
0
0
0
16
16
0
0
16
16
0
0
0
1
1
1
0
17
17
0
0
0
0
22
22
0
23
23
0
16
16
0
0
0
0
2
1
1
8
0
0
0
9
0
0
0
0
4
4
0
0
24
17
17
17
17
0
8
0
0
20
8
16
16
16
0
0
4
56
16
0
4
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
18
0
0
0
4
0
0
0
0
56
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
24
0
1
32
0
4
4
0
0
0
0
0
0
0
0
0
8
16
0
6
16
0
0
0
0
0
36
8
8
0
0
0
0
4
8
8
16
0
0
8
8
8
0
0
0
0
8
8
0
0
16
16
8
0
0
0
0
0
0
16
16
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
16
16
8
2
8
0
0
0
25
25
25
12
20
0
20
8
9
9
0
0
0
0
8
24
16
0
20
0
0
0
16
8
8
0
4
0
0
0
0
16
2
8
8
0
0
8
8
0
4
4
4
0
0
0
0
0
8
0
9
9
0
0
0
0
0
16
0
20
0
1
0
0
4
4
0
0
0
0
0
0
8
0
0
0
0
0
0
0
1
0
0
0
12
20
20
8
8
0
0
0
32
32
32
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
24
4
0
0
0
2
2
0
0
1
0
0
0
0
16
16
0
4
2
0
54
0
0
0
0
2
4
0
0
0
0
0
0
0
8
2
0
16
0
0
0
0
0
16
0
0
0
0
0
33
8
0
6
6
16
16
1
0
0
4
4
0
16
0
0
0
0
0
0
1
4
8
0
4
8
8
8
8
0
0
0
0
0
4
4
8
0
36
0
0
0
2
22
0
0
0
16
16
0
0
2
2
0
0
0
0
0
0
4
8
8
0
0
0
0
0
1
16
16
1
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
16
20
0
0
0
0
0
49
8
8
0
0
0
16
16
0
0
0
8
0
4
4
8
0
0
0
8
8
9
8
8
24
24
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
10
4
0
16
16
1
0
4
0
8
0
0
0
0
0
0
0
16
9
9
0
0
4
4
4
0
0
0
8
0
0
0
0
0
16
16
0
0
0
8
0
2
2
0
0
0
0
16
0
0
0
0
4
4
4
4
0
0
8
8
0
0
0
0
0
0
0
0
0
0
2
16
8
0
17
0
0
0
0
0
16
0
0
0
0
0
1
0
0
0
0
0
0
0
2
8
8
0
0
0
0
0
0
0
0
4
4
0
0
0
0
0
18
0
0
1
12
12
0
4
4
0
0
0
24
0
0
0
1
0
0
0
2
2
0
4
4
4
4
4
4
4
0
0
4
4
8
8
8
16
16
0
0
16
20
0
0
0
0
0
0
0
0
0
0
16
16
1
0
0
0
0
0
0
0
61
61
0
0
16
0
0
0
1
1
0
1
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
4
4
0
0
0
0
0
16
16
16
0
0
16
0
0
0
0
0
8
0
0
0
8
8
8
0
0
0
0
0
8
8
8
0
16
21
8
0
0
0
0
8
8
8
0
29
0
0
0
16
16
8
8
8
4
0
20
0
0
12
8
8
0
0
0
0
8
0
16
16
0
0
0
2
0
0
16
8
8
0
0
0
0
16
16
0
4
0
0
0
9
0
0
8
8
8
0
24
0
0
4
4
4
0
8
8
0
0
0
16
8
0
0
16
0
0
0
0
0
16
8
8
4
0
0
8
8
8
16
4
4
0
0
0
0
0
0
8
0
33
33
33
16
0
0
8
8
8
0
5
5
4
24
0
0
0
0
0
8
8
8
0
1
1
2
26
1
0
0
0
0
13
0
0
0
16
16
16
8
0
0
0
0
16
16
0
0
0
0
0
24
24
0
2
8
0
0
0
0
0
16
16
16
16
16
0
4
4
0
0
0
0
8
16
0
0
8
0
0
0
0
0
0
8
1
1
1
0
8
8
0
4
0
20
20
20
8
1
1
1
0
0
0
0
0
16
8
5
5
8
8
8
0
0
0
0
0
0
9
1
0
0
0
0
8
8
8
0
3
3
3
3
20
20
20
20
24
1
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
4
0
8
0
0
1
0
16
16
0
8
0
36
9
8
8
12
0
0
0
8
8
20
20
9
8
8
8
8
43
16
0
0
0
0
0
0
0
0
0
0
16
0
0
0
8
8
8
8
16
16
16
0
0
0
0
4
0
16
0
0
0
0
24
0
8
8
0
0
0
0
0
0
0
0
0
16
0
26
8
8
0
0
32
16
1
0
0
0
0
0
0
8
8
0
0
40
40
0
0
8
8
2
2
0
0
0
0
0
8
8
0
0
1
1
0
6
0
0
0
4
0
0
8
0
16
4
4
0
0
4
0
0
0
0
16
0
0
0
0
0
0
0
0
0
24
0
0
0
0
8
4
4
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
20
0
0
0
16
16
0
1
0
0
2
0
1
1
1
2
2
0
0
0
16
16
0
0
0
0
0
4
4
10
0
0
0
0
8
0
0
24
24
24
0
0
0
0
8
0
0
0
0
24
8
42
0
0
8
20
20
16
16
0
0
16
0
0
0
0
0
0
8
0
0
0
0
8
0
0
0
2
0
5
14
0
0
16
16
16
0
10
0
12
8
16
0
0
0
1
4
16
0
0
0
0
8
8
4
25
16
4
0
8
0
0
0
0
0
0
0
8
0
0
0
8
8
0
0
4
0
0
0
0
0
0
0
1
0
0
0
0
16
24
8
0
0
0
0
0
0
0
0
0
0
4
1
12
12
0
8
16
16
0
0
0
0
0
0
0
0
4
0
25
0
0
0
16
16
1
0
0
0
0
0
8
8
20
0
0
0
0
8
0
0
0
2
0
0
16
2
0
0
0
8
16
16
0
0
4
0
0
0
0
0
0
0
0
36
36
16
0
2
2
0
0
0
0
0
24
0
1
0
0
0
0
0
0
0
16
0
0
0
24
19
4
8
4
8
0
0
0
24
8
8
8
8
16
0
0
8
8
0
4
8
8
1
4
0
0
0
0
2
2
2
24
0
0
8
8
9
0
0
8
8
24
24
0
0
0
0
0
0
0
20
0
0
0
0
0
0
8
8
8
8
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
8
0
0
0
17
17
17
16
16
0
0
8
0
16
0
0
14
8
4
0
0
16
16
16
1
0
0
0
0
0
12
16
0
4
0
0
0
0
0
0
0
32
32
0
0
0
0
1
0
24
0
8
0
0
0
0
0
0
0
0
0
0
0
16
8
0
0
0
0
0
0
0
8
8
0
2
0
8
4
4
4
16
16
0
20
0
8
8
8
0
0
0
0
8
8
8
8
0
0
0
8
16
0
0
0
0
8
0
0
0
8
0
0
0
0
0
0
9
16
0
16
2
0
0
0
0
0
0
0
0
0
16
16
16
16
16
16
8
0
0
0
0
0
0
0
4
8
8
0
8
0
8
0
16
0
0
32
16
16
16
16
4
0
0
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
26
1
1
1
0
8
0
8
8
0
16
0
0
0
1
1
4
4
0
0
0
0
16
0
0
0
0
16
1
8
24
16
16
0
10
4
4
1
1
0
0
4
0
0
0
0
17
24
0
0
0
0
0
34
8
1
1
8
4
4
0
0
0
8
24
0
8
0
1
1
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
20
20
0
0
0
0
16
0
0
0
0
0
16
2
2
2
0
0
0
0
0
0
1
1
0
0
0
0
24
16
0
0
0
16
0
0
9
9
0
0
0
0
2
6
0
0
0
24
8
8
16
8
0
0
5
0
0
0
8
16
16
0
0
0
8
8
0
0
8
0
0
0
0
0
0
8
8
4
4
0
8
0
0
0
0
0
1
0
0
0
16
16
16
16
0
0
0
8
8
0
0
0
0
0
8
8
8
0
0
0
1
1
2
2
0
4
4
16
0
6
0
0
0
0
8
0
0
0
0
0
0
16
16
16
0
0
8
16
0
8
8
8
4
0
4
4
8
0
0
8
8
0
8
4
0
16
12
12
0
0
0
0
0
4
4
4
4
4
0
0
0
25
25
0
0
4
0
0
0
18
18
18
0
0
0
8
8
8
0
0
0
0
0
20
0
0
0
0
18
0
0
0
0
0
0
0
0
0
0
2
8
0
0
0
0
8
0
0
8
8
8
8
8
0
2
0
1
0
16
16
0
0
0
0
0
0
0
4
0
0
0
21
0
0
40
0
0
0
8
8
0
24
0
0
2
2
16
4
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
16
8
8
0
0
0
0
0
0
0
0
20
20
0
0
0
0
0
0
2
2
8
0
0
31
31
0
4
0
8
8
0
4
48
0
0
0
0
8
8
0
0
8
0
0
2
2
0
16
0
0
0
0
0
0
0
0
0
8
8
4
4
0
0
9
4
0
0
0
18
0
0
0
16
0
0
12
0
0
0
0
0
0
0
0
0
16
0
9
9
1
1
0
8
0
0
1
2
2
0
0
16
32
16
0
4
4
0
0
0
0
32
8
8
8
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
8
0
0
16
0
1
1
1
0
16
8
8
0
0
0
0
1
1
0
0
0
0
16
16
10
0
1
1
1
1
0
8
2
8
0
0
58
58
16
16
0
0
0
16
0
0
0
2
2
2
0
0
0
16
16
16
16
0
0
12
12
0
0
0
0
8
1
0
0
1
1
1
0
16
16
16
1
8
8
0
0
24
0
0
8
24
8
8
8
0
4
0
18
16
16
0
0
0
0
1
0
0
2
0
0
0
0
0
0
0
0
0
0
16
0
4
4
0
0
0
0
0
0
0
0
0
0
16
16
16
4
1
8
8
8
0
0
16
16
16
0
0
0
32
0
8
0
0
0
8
4
0
0
24
8
1
0
0
0
0
0
0
16
8
8
8
0
0
61
4
1
1
8
8
0
0
0
0
0
0
8
16
16
0
0
8
0
1
8
4
0
0
0
0
0
0
8
0
0
0
8
8
8
8
8
8
8
0
26
0
8
0
0
0
0
0
4
4
0
0
0
0
0
8
8
8
16
8
8
8
8
0
0
0
0
0
16
16
0
0
0
0
0
16
16
0
0
0
0
0
0
16
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
4
0
0
4
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
6
6
8
0
0
0
0
2
2
16
24
0
0
0
16
0
0
16
16
16
16
16
16
4
0
0
2
2
2
16
0
0
0
1
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
4
0
8
16
0
0
4
4
32
4
8
16
16
0
0
4
20
4
4
0
0
1
4
0
0
0
0
0
0
0
0
0
1
0
8
8
16
20
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
4
16
0
1
1
2
2
0
0
0
0
0
0
16
16
0
0
16
16
16
16
0
0
0
0
0
0
0
16
16
20
16
0
0
0
0
0
0
0
0
0
32
32
32
32
32
0
0
0
8
8
0
16
0
0
0
0
0
0
4
8
4
0
0
0
0
0
0
16
0
0
8
8
8
8
16
16
0
0
0
0
0
0
0
8
8
8
16
16
16
16
0
0
1
0
0
0
16
16
16
16
0
0
0
0
8
0
0
8
8
8
8
8
8
0
0
0
0
0
4
4
0
0
0
8
24
0
0
0
0
0
0
2
4
16
16
32
0
0
0
0
4
0
0
0
8
8
8
8
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
49
17
0
4
8
0
0
20
8
0
0
8
0
0
32
0
8
0
4
0
0
0
16
0
0
16
8
8
0
0
2
8
16
0
0
0
0
0
0
0
0
0
0
6
0
0
0
0
0
0
16
0
0
0
8
0
0
0
0
50
50
50
0
0
1
2
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
8
8
0
14
14
14
0
8
0
0
0
0
0
0
0
20
20
4
0
4
16
0
0
0
0
2
0
8
8
0
0
0
8
0
0
4
20
4
0
0
0
22
0
16
49
24
24
0
0
0
8
8
0
1
0
4
0
0
0
4
4
0
0
0
0
16
0
8
8
8
8
0
4
0
0
0
0
8
0
0
0
8
0
0
0
0
24
0
0
8
1
0
0
8
0
24
8
8
0
0
0
0
0
0
0
0
0
0
18
18
6
6
16
8
0
16
1
1
0
0
4
4
0
0
0
0
0
0
0
16
1
1
1
0
0
0
16
0
0
0
0
0
16
5
4
0
0
0
0
8
0
2
1
2
0
0
0
0
0
0
0
0
8
0
4
4
0
0
8
16
25
0
0
0
0
0
16
0
0
0
0
0
8
0
8
8
8
8
8
0
18
0
0
0
0
0
0
0
8
0
0
0
0
0
4
4
2
2
4
0
8
8
0
0
0
0
8
1
1
1
0
0
0
0
0
0
8
8
8
8
4
4
0
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
16
8
8
8
0
0
0
0
0
8
0
0
1
1
1
0
0
0
8
16
8
8
8
8
8
8
0
0
0
0
0
16
0
0
0
16
16
0
0
4
4
4
4
0
0
0
0
0
0
0
8
0
2
0
0
0
4
0
4
4
0
9
1
1
1
1
0
0
0
0
8
8
8
1
0
0
0
0
16
16
2
0
0
24
8
56
0
0
0
0
0
0
0
0
0
16
0
16
0
0
0
2
2
2
0
0
0
0
0
16
16
16
18
18
20
0
0
0
8
8
0
0
0
8
8
0
0
0
16
16
0
2
0
0
0
19
19
51
18
0
0
3
0
1
16
0
0
0
0
0
4
1
1
0
20
8
0
0
0
12
0
0
16
0
0
16
0
0
0
0
9
0
0
0
0
24
24
24
0
16
16
0
16
4
0
0
0
16
16
0
0
8
8
2
2
16
16
16
16
0
4
4
17
0
0
0
20
0
0
2
2
0
0
0
0
0
1
0
0
16
2
1
2
8
8
8
0
16
16
4
0
0
0
16
0
0
0
0
0
0
0
8
0
0
0
5
4
1
8
8
0
0
16
16
16
8
57
1
0
0
0
0
8
0
0
0
0
16
8
8
8
8
8
0
28
0
8
0
0
0
24
0
0
22
0
8
8
8
8
8
33
33
9
8
4
4
16
10
8
4
0
4
4
0
16
0
0
0
0
16
0
0
0
0
0
0
0
0
0
4
4
4
0
0
8
0
0
1
1
1
1
0
0
0
8
0
12
0
32
17
17
24
24
4
4
0
2
2
2
2
2
0
16
16
0
10
0
0
0
0
0
28
0
0
0
8
0
0
9
9
0
0
0
0
0
0
8
8
15
15
0
8
0
0
0
0
0
0
0
0
33
0
22
0
16
0
0
0
0
0
0
8
8
8
8
0
0
8
0
0
0
16
0
0
16
16
16
16
0
0
16
20
20
0
0
0
0
0
0
0
1
0
8
0
0
0
0
0
4
0
0
0
16
8
8
8
8
8
0
1
1
0
0
0
0
0
16
16
28
28
16
16
8
0
0
16
16
16
8
8
4
8
8
8
8
8
8
8
0
0
0
0
2
0
8
8
8
0
0
16
0
0
0
0
16
16
8
8
8
8
0
0
8
16
0
16
16
16
16
0
16
0
0
0
32
20
0
0
4
9
9
0
0
0
0
0
0
34
0
0
0
16
16
0
0
32
0
16
16
16
0
0
4
4
1
8
0
0
0
2
2
0
16
0
0
0
16
16
2
16
0
0
0
8
0
8
0
8
8
8
0
16
1
1
0
0
0
24
24
24
0
0
16
0
0
0
4
0
0
8
8
8
0
16
16
0
16
8
4
4
1
16
16
0
1
0
2
2
0
2
0
0
0
8
0
8
0
32
16
16
0
16
0
0
6
0
0
4
0
16
2
8
1
57
0
0
0
0
8
8
8
8
8
8
4
0
8
8
8
0
0
16
0
24
0
24
24
24
8
0
8
4
0
8
16
16
0
0
0
4
4
4
0
0
8
0
0
0
16
16
4
4
8
8
11
0
0
0
0
41
8
0
0
0
0
4
0
32
12
12
0
0
0
0
1
1
24
16
16
20
16
0
0
0
16
0
4
0
0
0
0
0
0
8
0
0
0
0
0
0
0
4
49
0
30
30
0
0
16
8
8
8
8
16
0
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
0
0
0
0
0
0
0
16
16
16
16
16
0
24
0
0
0
0
8
8
0
0
0
0
16
0
0
0
0
16
16
0
1
17
0
0
0
0
0
8
8
8
17
2
16
2
2
8
8
0
0
0
0
0
0
8
8
0
16
16
0
0
16
1
0
0
0
0
17
17
0
0
0
0
0
8
8
0
0
8
8
8
8
24
24
24
24
0
0
0
0
0
0
0
10
2
0
16
0
0
0
0
8
0
0
0
0
12
1
0
0
16
16
16
16
16
0
2
2
2
2
8
0
8
8
8
1
1
0
0
0
0
0
0
8
0
0
16
16
29
0
0
8
8
0
0
0
0
16
16
4
16
0
8
0
0
0
0
0
0
0
29
29
29
29
29
29
22
22
0
8
2
8
0
2
0
8
8
8
0
0
17
0
4
8
8
8
8
0
0
0
4
4
9
0
0
0
0
0
0
4
0
0
0
8
0
16
0
2
0
0
0
0
8
0
0
0
1
1
1
1
0
16
0
0
0
16
16
4
16
0
0
0
16
16
2
2
0
0
16
0
16
0
8
0
8
8
8
8
0
2
4
0
8
16
4
16
0
1
8
0
0
0
0
24
24
0
16
0
8
0
0
0
0
34
34
16
1
0
0
24
0
0
0
0
0
0
8
0
0
16
8
0
0
18
18
0
0
0
0
0
0
0
16
8
8
2
1
8
0
1
16
0
0
0
0
8
0
0
2
0
4
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
8
16
0
0
0
0
0
0
1
16
0
0
0
0
0
0
8
8
0
0
0
0
0
8
8
8
8
8
0
0
8
8
8
8
4
4
29
0
0
45
0
8
8
2
4
0
0
0
0
2
2
0
0
6
16
16
24
24
0
16
0
4
4
0
0
0
0
2
4
8
8
0
0
8
0
0
0
0
0
16
16
2
2
2
8
0
4
16
0
0
0
28
0
0
0
0
18
0
0
24
0
0
0
0
0
0
0
32
8
6
0
0
0
0
0
0
0
0
0
8
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
26
16
8
16
16
2
2
2
2
8
8
8
8
0
0
0
8
9
0
0
0
0
0
0
0
32
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
8
8
8
8
8
0
0
0
16
16
0
16
8
2
2
1
0
16
0
0
0
0
0
0
0
0
0
32
0
0
0
0
0
0
1
16
0
24
8
0
0
16
0
0
8
8
0
0
0
0
8
8
0
8
8
0
8
8
8
16
0
0
0
0
4
4
0
0
0
16
16
16
0
0
0
0
0
0
0
0
0
0
8
8
0
0
8
8
8
8
0
0
0
1
5
0
0
8
8
8
16
16
0
8
0
0
0
16
8
0
0
0
16
0
0
0
8
8
2
0
16
16
16
16
4
4
0
8
8
0
0
8
0
0
0
40
40
4
0
0
0
0
1
1
2
2
16
2
2
8
8
8
8
8
8
1
4
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
0
0
16
8
32
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
8
8
0
0
8
8
8
4
17
16
8
8
8
0
8
4
0
0
18
18
12
0
0
0
0
0
0
0
0
0
0
0
0
0
6
6
6
0
1
1
0
0
8
2
2
0
0
0
0
0
2
8
8
8
8
0
0
0
0
0
16
0
8
14
0
8
0
0
16
0
4
4
0
16
20
0
36
0
4
4
8
25
0
0
0
2
0
4
0
0
8
8
32
0
18
0
4
4
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
6
6
0
6
8
1
0
8
0
24
0
4
4
0
0
0
0
0
16
16
16
0
0
0
20
0
16
8
8
8
8
8
0
0
0
20
16
0
2
2
0
0
0
0
0
8
8
0
0
0
0
0
2
0
0
1
0
0
0
0
0
0
0
0
8
0
0
0
4
0
0
25
0
0
0
0
0
0
0
0
0
0
0
0
5
5
8
8
0
0
0
8
8
8
8
8
8
8
0
0
0
0
0
4
4
2
0
0
8
8
0
0
0
0
0
1
0
0
0
4
0
0
0
0
24
24
24
1
1
0
0
0
0
8
2
8
1
0
0
0
4
24
4
4
0
8
8
8
8
8
8
0
4
16
0
8
0
0
0
2
2
0
0
0
0
16
16
0
16
16
0
0
0
8
0
0
0
16
8
8
8
8
8
8
0
2
0
0
0
0
0
0
0
4
16
0
0
0
0
0
0
0
0
8
8
8
8
0
8
0
0
0
0
0
4
0
0
8
14
0
16
21
0
8
8
0
1
0
16
0
0
0
0
0
0
0
0
1
1
1
5
5
0
28
28
4
8
36
0
5
4
0
27
27
8
8
0
0
0
0
3
0
0
0
0
8
16
16
16
0
0
0
8
8
0
8
8
0
16
16
16
0
0
0
0
14
14
14
14
14
0
0
0
0
0
0
13
0
0
0
4
2
2
0
20
20
20
20
0
8
2
0
5
0
0
0
0
0
4
4
0
8
8
9
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
0
0
8
4
0
0
0
16
16
4
4
4
0
0
0
8
0
0
0
0
0
16
16
16
0
0
8
8
8
8
8
0
0
16
0
0
0
0
16
16
0
20
16
41
0
0
0
0
0
0
0
0
0
0
40
0
8
0
0
40
40
10
0
0
0
0
16
0
49
49
2
25
25
0
0
0
6
0
9
8
0
0
1
1
8
8
8
1
0
16
2
0
28
28
0
0
0
8
8
16
0
5
0
8
17
0
8
8
0
0
8
20
0
57
0
0
8
0
0
0
8
16
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
16
0
0
0
21
21
2
8
0
24
16
0
0
0
0
0
0
0
8
0
0
0
16
0
0
0
0
0
0
0
0
0
0
16
2
2
16
0
16
0
28
8
0
0
26
17
24
0
8
8
8
0
0
0
16
16
16
2
0
0
16
16
8
0
0
0
0
0
32
0
16
16
16
20
20
0
0
0
0
16
0
0
0
0
0
8
8
8
8
0
0
0
0
0
0
18
2
8
8
8
8
4
8
24
24
1
8
0
0
0
8
0
0
52
8
4
4
16
0
0
0
0
8
8
2
2
2
29
29
29
29
8
8
16
1
16
16
0
2
0
16
1
0
0
0
16
16
16
0
0
0
1
2
2
8
8
8
8
0
0
8
8
36
0
9
8
0
0
16
16
0
2
8
8
16
10
0
16
0
16
16
0
0
0
0
8
8
8
0
0
0
1
9
8
0
16
24
8
16
16
8
0
0
4
0
0
8
8
2
2
2
0
0
0
0
0
40
40
4
0
0
8
4
0
0
0
0
0
8
0
0
0
16
16
8
16
0
1
0
0
0
3
3
0
0
0
0
9
8
0
0
4
4
0
0
0
16
9
1
0
0
0
0
0
0
4
8
32
0
0
0
0
0
16
0
36
0
0
0
4
8
8
0
0
0
0
0
7
1
1
1
0
0
0
0
16
16
0
0
0
0
1
8
0
0
0
0
0
0
0
0
0
0
8
0
0
1
8
0
16
30
6
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
8
16
0
0
16
16
2
0
0
2
0
0
0
0
0
0
0
16
1
0
0
0
0
8
8
8
16
16
6
2
16
16
8
0
0
12
21
8
8
0
0
0
0
8
8
8
0
0
0
0
37
2
16
16
0
0
2
8
0
0
0
2
0
0
0
0
0
0
0
0
0
0
8
8
0
8
16
1
8
8
16
16
8
0
0
0
0
0
6
6
0
0
0
0
0
0
0
0
18
0
0
17
0
16
20
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
6
8
25
16
1
1
4
4
0
0
2
2
8
8
8
0
0
0
0
0
0
0
0
4
0
0
24
0
32
32
0
0
0
0
0
16
16
1
2
1
1
1
1
0
0
16
0
8
8
0
0
0
0
8
0
0
0
1
0
0
0
0
2
2
2
0
24
0
8
0
8
0
0
32
0
8
8
8
8
8
0
0
0
0
0
0
8
0
8
8
1
0
0
0
1
8
56
4
0
2
0
0
25
8
8
0
5
24
0
16
16
0
0
8
8
4
0
8
0
16
16
0
0
0
0
1
0
0
2
0
0
0
0
0
16
16
16
0
0
8
0
0
0
1
0
0
0
16
16
16
16
0
0
16
2
2
0
0
0
16
16
0
6
6
8
8
0
16
8
8
0
0
0
20
20
20
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
0
0
8
0
0
0
0
2
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
32
0
2
4
4
4
4
4
8
8
0
0
0
0
8
8
8
32
8
0
16
0
2
0
17
0
0
0
0
1
1
0
16
0
0
0
8
0
0
16
16
0
0
0
2
2
2
16
0
0
16
16
4
0
0
0
0
0
16
0
0
8
24
0
0
1
0
0
0
0
0
6
8
8
8
0
0
24
4
4
4
0
0
16
16
8
0
25
0
0
0
9
0
0
0
0
0
8
0
17
0
0
0
8
8
0
8
0
26
8
8
8
0
0
0
32
32
8
34
4
0
0
16
0
0
0
24
0
0
0
1
16
16
0
0
0
2
2
8
0
0
9
8
8
8
8
0
0
8
8
0
0
0
3
3
0
1
8
8
8
0
0
0
0
14
0
8
8
0
0
0
0
0
8
0
8
8
4
16
2
2
0
0
0
0
0
0
0
0
0
1
8
8
0
0
0
4
4
0
0
0
16
0
4
4
4
0
0
2
2
8
20
0
2
2
8
8
0
2
2
2
2
2
8
8
0
18
4
0
0
0
0
0
24
0
4
4
0
0
0
4
0
0
0
0
0
8
2
8
8
0
0
0
0
16
16
16
0
0
16
0
0
16
4
4
4
4
0
8
8
0
0
0
16
0
0
0
20
0
0
0
0
0
0
0
0
4
8
8
8
0
0
0
0
0
0
0
0
0
4
16
0
0
0
0
0
41
0
0
0
5
0
0
0
0
16
2
16
0
0
0
0
0
0
0
0
7
16
0
0
0
0
16
16
1
1
1
1
1
0
0
8
8
8
0
62
62
0
8
1
4
16
8
8
0
0
8
0
16
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
16
8
0
0
4
8
8
24
24
24
8
8
0
0
0
0
0
0
0
32
0
0
0
0
0
0
0
0
2
1
2
0
32
0
0
24
40
8
8
0
0
16
16
1
1
0
0
0
0
8
0
8
0
20
0
0
1
1
8
8
0
0
0
0
0
16
0
0
0
0
0
0
0
0
18
32
0
0
0
0
0
0
0
0
16
16
6
8
0
0
8
16
0
0
8
8
8
8
8
8
8
0
0
16
16
0
0
16
16
0
0
8
16
16
16
16
0
0
8
0
0
16
16
16
16
8
8
0
0
0
8
0
0
0
2
0
0
32
16
16
16
0
0
0
11
0
0
0
32
0
0
8
8
0
16
16
0
0
0
8
8
4
8
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
16
16
16
16
16
16
16
0
4
4
0
0
0
0
0
20
16
0
0
0
0
16
16
16
16
0
33
0
0
16
8
8
0
8
8
4
0
16
22
0
4
0
4
0
0
0
0
0
16
0
8
8
8
8
8
8
8
6
16
0
0
0
0
8
4
4
4
4
4
8
8
8
8
0
8
0
0
16
16
16
16
0
8
0
0
0
0
0
16
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
4
0
0
8
8
0
0
24
0
18
2
0
0
4
4
4
0
0
32
0
0
0
0
0
0
0
0
0
3
3
0
0
8
0
0
0
0
0
4
0
0
0
16
0
2
0
4
4
4
16
16
16
0
16
16
16
16
16
0
24
24
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
16
16
21
16
16
0
8
0
0
0
0
16
4
1
1
0
0
0
0
4
0
16
24
6
6
0
1
2
2
0
17
0
33
49
0
0
8
24
0
8
1
16
16
0
0
0
0
16
2
16
0
17
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
8
8
8
0
16
16
0
0
2
2
8
0
0
0
0
0
0
0
0
4
12
8
8
8
16
4
4
4
24
8
16
9
16
16
0
0
0
1
1
0
0
0
0
8
16
16
0
0
0
1
0
4
2
0
0
0
10
10
10
0
8
17
1
16
17
17
0
8
8
16
1
1
1
8
8
8
8
4
8
8
12
16
8
8
8
16
0
0
2
26
26
26
8
0
0
24
1
1
8
0
16
16
0
0
4
4
4
16
0
16
16
4
0
4
4
0
4
0
0
2
2
10
0
16
36
0
0
8
8
8
0
0
16
2
2
0
0
12
18
8
0
8
0
0
0
16
16
8
0
0
2
0
16
0
0
0
20
20
4
0
8
8
16
16
0
0
0
0
24
24
16
0
0
0
8
0
19
0
16
8
0
16
0
16
16
16
0
0
16
20
16
0
8
0
0
0
0
0
8
17
1
1
8
0
0
2
2
8
0
8
0
0
0
0
0
0
8
0
0
8
0
0
16
0
0
4
0
0
0
18
0
0
21
5
4
4
0
0
8
8
8
8
8
0
1
0
16
0
0
1
8
18
0
25
25
0
0
0
8
1
8
0
8
8
0
0
8
0
0
0
16
16
16
8
8
0
0
0
0
0
0
0
16
16
0
0
4
0
0
8
8
0
8
8
8
8
2
0
8
8
8
0
0
0
8
8
8
8
0
0
0
0
12
20
4
4
0
6
8
8
2
8
24
8
8
8
0
0
1
0
0
0
0
0
0
1
16
8
8
8
8
0
0
12
0
0
16
18
0
8
8
0
0
8
8
0
0
0
0
0
0
16
16
16
0
1
0
8
2
2
0
0
8
8
0
0
8
0
8
8
16
24
24
0
16
0
0
8
16
16
16
1
8
8
0
0
8
24
1
24
0
0
0
0
8
8
0
0
8
16
39
39
16
16
8
2
16
16
0
0
0
24
0
0
1
1
0
2
4
0
0
8
0
0
2
2
0
0
0
1
1
18
24
8
8
8
8
0
8
8
0
0
0
1
1
0
8
0
0
0
4
8
0
16
16
16
0
16
8
8
8
8
0
8
8
8
8
8
16
4
8
0
16
16
16
16
16
0
0
0
2
0
0
8
8
8
8
0
8
8
8
8
0
6
4
4
4
0
8
8
0
0
4
8
8
0
0
0
0
0
1
4
16
4
4
0
8
0
0
8
8
9
16
0
0
16
0
8
8
8
0
0
8
8
8
12
0
0
0
16
24
0
0
16
2
8
4
0
8
0
0
4
4
4
16
16
16
0
0
0
0
0
8
8
8
8
37
37
1
0
0
0
20
0
0
0
16
0
0
0
0
20
8
8
8
0
0
0
0
5
0
0
0
18
8
0
8
8
4
0
0
0
32
0
0
8
0
16
16
4
4
10
10
10
0
0
16
16
16
0
0
2
8
0
0
4
0
16
9
9
16
16
0
16
1
8
8
8
8
8
0
0
16
22
0
0
0
5
16
17
0
16
0
0
0
0
24
8
8
8
0
0
0
0
0
3
2
0
0
0
0
0
8
0
8
8
0
8
8
16
1
8
1
8
16
16
8
8
0
0
0
8
0
0
21
8
0
0
16
0
0
0
0
0
0
8
8
8
8
8
1
1
1
0
0
8
8
8
8
4
6
16
0
0
16
1
0
0
0
0
0
8
0
0
0
0
0
8
16
16
16
0
0
0
0
56
16
16
16
0
0
0
16
0
4
4
4
8
8
8
8
0
0
18
18
18
18
0
0
0
0
0
0
0
0
0
24
8
0
0
18
0
1
0
0
0
2
2
2
0
8
8
8
8
0
0
0
16
8
8
8
16
16
16
16
0
0
0
33
0
6
16
8
8
0
10
8
0
8
8
0
0
0
16
16
16
8
8
8
0
24
16
0
0
0
0
8
8
0
0
0
0
0
0
42
0
0
0
1
1
0
2
2
17
8
0
0
0
0
0
16
0
4
4
4
1
8
0
3
3
3
3
3
3
5
5
0
0
4
8
8
4
0
0
0
8
4
4
0
8
0
0
0
8
53
0
0
12
28
0
0
32
0
0
0
16
1
8
1
1
8
8
0
0
0
0
8
8
1
8
8
8
0
8
0
0
4
24
8
8
3
8
8
8
0
0
0
8
24
0
0
8
0
0
0
0
0
9
9
9
0
0
16
16
16
0
8
8
8
0
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
8
8
0
1
0
0
8
0
0
0
8
8
0
0
0
0
8
2
0
0
16
8
16
1
1
16
0
0
8
8
0
0
4
0
0
8
1
0
24
2
8
8
0
16
16
0
0
0
0
0
0
16
0
48
12
12
0
0
0
8
8
1
1
0
18
0
16
2
28
28
8
8
8
24
24
24
24
16
0
0
0
25
0
0
0
0
0
22
30
17
0
8
1
1
16
1
1
1
1
1
4
4
0
32
0
0
8
8
4
4
16
16
16
16
2
32
0
0
0
0
0
0
8
6
0
8
0
4
50
0
0
0
0
8
0
2
0
0
8
1
1
1
0
0
8
8
16
8
8
16
8
4
4
0
4
0
8
8
36
32
32
8
0
1
4
0
0
0
0
16
8
0
0
0
16
0
0
0
8
8
24
0
16
4
0
32
2
0
0
0
8
16
8
0
0
0
16
2
8
8
0
0
8
0
0
6
0
8
16
4
4
8
32
12
0
16
8
8
8
8
1
1
0
16
16
0
8
0
8
0
16
16
16
0
0
8
0
8
16
10
10
0
8
0
8
0
8
2
0
1
16
0
0
0
8
8
8
0
0
0
4
4
8
4
4
16
0
8
8
8
0
4
0
0
16
16
20
4
0
16
0
16
0
8
8
24
0
0
0
8
16
16
0
8
8
8
8
8
0
0
20
8
0
0
0
0
0
8
8
12
4
8
8
8
8
8
8
0
8
8
0
16
24
24
24
0
0
0
8
8
8
8
8
0
4
16
0
16
4
4
0
16
0
0
4
8
8
0
0
0
2
2
2
0
24
0
0
0
8
8
8
1
24
16
0
8
6
4
8
2
2
0
0
1
2
2
2
2
0
0
16
0
0
0
0
16
4
24
24
8
8
8
0
0
0
0
16
16
4
4
8
8
8
0
20
0
0
0
8
8
8
20
8
8
8
58
0
0
8
8
8
0
8
0
0
0
0
2
0
2
2
4
2
8
16
0
0
0
8
8
8
1
0
0
0
0
8
18
8
4
4
8
0
8
0
16
0
20
1
16
16
16
12
8
0
0
0
0
9
16
16
16
16
0
2
0
0
0
8
0
9
0
0
0
0
16
0
0
0
0
0
2
40
6
0
0
0
0
8
1
0
0
0
0
0
8
8
0
8
32
8
8
8
8
8
16
8
8
8
8
2
26
0
0
8
0
16
0
0
8
0
0
0
16
26
26
8
24
0
0
0
0
6
4
0
0
0
16
2
0
0
16
0
0
16
0
0
8
8
8
0
0
17
8
8
8
0
0
8
8
8
0
0
0
0
0
0
0
0
8
2
16
2
0
0
28
28
28
4
4
8
48
0
8
8
0
24
24
24
0
0
0
0
0
0
0
8
18
0
0
0
18
16
8
8
0
0
0
0
8
1
1
0
0
33
33
33
0
16
0
8
8
8
8
16
18
16
16
16
4
4
8
8
8
0
0
0
0
16
16
0
1
0
0
48
16
16
16
16
16
16
16
16
2
0
0
4
4
0
16
0
0
0
0
0
0
32
32
8
8
0
0
0
0
0
8
8
8
0
0
16
0
16
16
30
0
0
0
8
8
0
32
4
4
4
16
0
0
0
16
16
16
0
8
8
0
0
0
8
0
0
4
20
0
0
8
9
9
9
0
0
8
8
0
16
30
0
1
8
0
0
0
16
0
0
8
0
0
2
0
0
16
0
0
0
8
8
24
8
8
1
0
16
16
17
17
16
12
0
8
0
0
8
0
8
0
0
0
0
0
0
8
8
8
0
0
0
8
8
0
8
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
8
8
1
1
8
8
8
4
0
32
16
8
20
20
16
8
8
8
8
0
0
0
0
0
0
1
0
8
0
0
12
8
32
32
0
0
0
2
0
2
0
16
0
8
16
16
16
16
16
16
16
16
0
0
0
0
8
0
0
0
0
11
0
9
0
24
24
8
4
4
0
2
0
8
0
0
0
0
13
13
8
8
8
8
0
8
0
8
0
4
2
8
1
24
24
0
8
8
0
0
8
0
18
9
0
0
2
2
2
8
8
28
8
8
8
24
8
8
1
0
8
8
2
2
0
0
0
0
0
0
0
16
0
16
16
16
17
0
8
8
0
0
0
16
41
41
41
41
41
0
32
0
0
0
1
8
4
22
0
0
16
8
0
8
8
0
8
0
0
0
0
16
0
0
24
16
0
0
0
0
0
1
1
2
2
0
8
24
0
8
16
0
0
0
0
0
20
20
0
24
8
8
8
0
16
16
18
0
0
0
0
8
16
0
8
8
8
0
0
0
32
8
8
8
27
0
8
0
4
8
0
0
0
0
8
0
16
16
8
8
0
0
0
8
8
0
0
16
8
8
4
8
16
4
0
0
0
0
8
8
8
16
8
8
0
0
8
8
0
0
0
0
16
0
0
0
0
8
0
16
0
0
0
8
0
0
8
0
1
0
8
16
16
8
0
0
0
24
8
8
8
8
8
8
8
0
0
0
16
0
4
4
11
0
8
0
0
0
0
0
8
26
26
0
1
1
1
0
0
0
0
0
0
8
24
0
0
0
0
0
0
0
8
8
0
4
0
0
16
6
6
1
0
8
32
4
4
8
8
8
16
8
0
0
0
0
6
0
32
0
8
0
4
4
0
0
0
0
0
0
0
24
16
16
4
0
0
8
8
8
8
0
0
0
0
8
8
0
0
0
0
2
0
0
0
0
0
24
24
16
16
16
2
2
2
4
0
8
42
34
0
4
16
0
0
2
0
0
22
0
0
24
0
0
16
4
0
0
8
0
8
0
20
20
20
0
16
16
16
0
4
4
0
0
16
16
0
16
0
0
0
0
23
1
0
0
0
8
1
0
0
8
0
0
16
0
0
0
0
0
0
0
0
8
0
0
0
0
16
14
0
0
8
0
0
8
8
0
8
56
16
0
8
8
19
8
0
0
8
8
8
1
1
4
0
16
17
32
32
0
2
0
0
4
0
0
0
4
0
0
0
16
16
8
0
0
0
0
0
0
0
0
16
16
0
0
0
16
0
8
0
0
8
0
0
0
0
16
4
28
0
8
0
18
18
0
0
1
4
4
4
8
4
16
8
0
0
8
0
0
8
16
0
0
2
0
16
16
0
8
4
8
8
0
0
10
44
0
0
8
8
8
8
16
16
0
0
2
2
2
0
8
8
1
1
1
8
4
8
15
8
8
10
0
18
0
2
8
0
12
0
0
8
8
8
1
1
56
0
8
8
8
0
8
0
8
8
8
0
0
0
8
8
8
0
0
4
0
0
0
0
1
1
32
32
32
8
0
32
32
28
28
28
16
16
16
16
8
0
0
0
0
0
0
0
18
16
0
0
8
26
16
16
0
0
0
0
0
1
0
35
0
0
12
0
0
0
8
8
2
0
0
0
0
0
0
16
16
0
16
0
0
8
8
0
0
0
2
0
8
0
0
16
16
0
0
5
5
14
8
0
28
0
0
0
0
16
16
16
0
0
0
0
8
16
16
16
0
0
16
16
13
8
8
8
8
8
16
16
8
8
8
0
0
0
0
8
0
0
1
1
8
8
24
28
0
0
0
16
16
16
16
2
0
0
0
0
0
1
1
0
0
16
16
48
32
5
5
0
0
0
8
16
13
0
1
1
4
16
2
2
16
0
8
8
0
48
0
0
8
0
0
0
24
16
1
1
0
4
0
0
0
0
0
0
8
0
0
26
4
4
0
8
16
2
2
2
2
2
0
0
4
0
24
8
8
8
0
8
8
8
8
8
0
0
0
24
0
57
0
4
6
2
16
16
1
0
4
4
0
0
0
4
8
4
0
0
0
0
8
8
8
8
8
0
8
1
1
0
0
58
8
8
16
16
8
16
8
8
0
0
4
16
8
16
0
8
1
1
1
8
8
0
16
8
8
16
8
8
2
8
8
0
0
32
0
0
0
0
12
0
16
20
16
16
0
0
4
8
0
2
8
10
10
16
8
32
32
8
0
8
2
16
1
16
16
16
8
0
0
4
4
4
0
0
16
8
8
0
0
0
8
8
8
8
8
8
8
0
9
1
40
0
0
2
2
10
24
26
4
1
1
1
1
8
3
0
0
0
0
1
0
0
0
1
2
8
4
0
0
4
8
0
0
8
0
16
16
16
0
0
0
0
4
4
8
8
8
8
0
0
8
8
0
0
16
16
0
0
0
0
4
0
0
8
1
0
0
16
16
16
4
4
4
32
32
0
8
1
16
0
0
0
1
4
5
5
0
0
0
16
16
0
8
16
6
8
0
0
8
24
0
20
16
1
1
4
0
0
0
32
2
2
2
2
2
8
0
0
0
0
0
0
8
0
0
16
16
1
0
0
28
2
0
0
5
0
0
1
16
16
1
0
0
0
8
8
16
8
8
0
0
4
16
0
0
0
8
8
8
8
0
4
0
16
32
0
16
0
0
0
0
9
24
16
16
16
24
8
0
35
0
0
8
4
2
0
0
0
8
8
16
16
16
0
0
0
0
0
4
4
0
2
0
0
0
0
0
0
20
1
8
1
8
0
0
0
0
0
0
2
3
0
8
8
48
48
48
8
8
0
16
16
0
8
8
2
0
0
0
0
0
0
0
2
0
8
8
8
0
16
8
0
8
8
2
2
8
8
16
0
18
24
24
24
0
0
0
32
32
2
0
0
0
0
0
0
0
16
1
24
24
16
16
16
16
0
0
4
16
8
8
8
0
16
16
8
0
8
0
0
4
4
0
0
8
8
8
18
0
0
0
0
8
0
0
16
16
16
16
0
0
2
16
0
16
8
8
8
8
0
0
8
4
24
16
16
16
16
10
8
8
8
0
9
8
1
1
0
16
8
52
5
42
24
24
24
8
24
16
1
0
24
8
8
8
8
8
20
4
4
8
8
0
0
0
0
0
0
0
20
8
8
12
2
1
0
0
0
0
0
0
0
8
8
8
8
0
8
8
2
8
0
0
0
0
2
0
0
17
0
0
0
0
5
8
8
0
0
20
0
0
8
8
9
18
16
16
16
4
2
8
8
1
1
8
8
8
8
0
0
0
0
0
2
2
16
16
16
16
16
16
24
0
2
0
1
16
2
2
10
0
16
16
0
0
0
20
4
14
0
24
1
3
0
8
0
0
0
0
16
4
20
2
21
24
0
19
1
1
0
16
2
2
2
4
8
16
8
8
10
8
8
8
0
0
16
0
8
0
16
0
0
8
8
0
0
0
8
2
0
0
8
4
0
0
1
16
8
0
0
8
8
11
1
1
1
1
0
0
16
8
24
0
0
0
0
0
2
2
2
16
0
1
1
1
8
0
0
1
1
1
8
8
1
1
1
8
4
8
0
0
16
0
0
0
8
8
8
0
0
0
8
16
0
0
8
2
0
0
0
32
1
1
1
1
16
0
1
16
0
16
0
8
8
0
20
20
20
20
2
2
2
8
8
8
8
16
16
0
16
0
2
0
4
16
8
0
24
0
6
8
8
4
4
0
0
0
8
8
8
24
24
24
0
0
0
0
0
0
8
8
8
8
8
8
4
4
8
8
0
0
0
0
2
2
0
16
16
16
0
0
36
16
0
16
8
0
16
0
0
0
8
0
0
0
0
8
0
0
0
0
4
0
4
0
0
16
16
16
8
8
8
4
4
4
4
0
0
24
0
48
48
0
16
19
20
20
16
16
16
0
24
16
48
48
1
1
1
8
2
0
0
8
0
8
8
0
0
0
0
8
8
0
0
8
8
8
0
0
0
24
0
20
0
0
0
0
0
2
2
8
8
8
8
8
0
0
0
16
16
0
2
0
0
0
1
0
1
24
8
0
0
0
16
0
0
0
0
1
16
16
16
0
0
0
0
0
20
20
2
0
8
57
57
20
8
21
21
4
8
0
32
32
24
24
16
16
8
16
0
32
8
8
0
0
0
1
1
1
8
32
16
8
8
8
8
8
8
0
0
0
32
8
25
0
0
0
8
0
1
1
1
1
1
16
16
0
0
0
16
0
0
0
8
8
16
0
8
8
0
0
0
0
8
4
13
4
8
8
8
8
8
4
4
0
0
0
12
12
0
0
1
1
0
0
28
0
8
2
2
2
16
10
4
4
0
0
0
0
1
1
0
0
0
0
8
8
8
0
0
0
16
8
16
8
20
8
8
10
8
0
0
0
8
1
0
0
0
0
4
8
48
0
0
0
0
16
16
8
8
8
32
16
0
16
16
16
24
8
8
8
8
24
16
0
1
1
1
0
1
3
3
8
0
16
0
4
0
8
0
0
0
0
0
8
0
5
16
0
24
8
8
0
8
16
20
20
4
4
4
4
4
8
8
8
0
8
4
2
2
8
2
2
0
0
16
8
1
8
1
0
0
18
8
4
0
8
0
2
0
0
0
16
0
0
11
11
9
12
4
8
1
0
0
0
0
0
0
2
0
16
0
0
8
8
8
16
0
12
12
12
12
12
0
16
16
16
0
0
19
19
0
0
52
0
0
8
0
0
1
1
8
8
8
8
0
8
0
4
4
4
0
0
0
0
2
1
5
40
40
40
40
40
40
0
1
9
40
40
0
0
0
0
0
16
18
0
8
8
16
16
8
8
8
0
0
0
4
32
0
4
4
8
8
8
8
6
1
0
0
8
0
0
0
2
2
8
16
16
16
16
32
32
8
8
8
8
0
0
0
0
8
8
0
0
8
8
1
0
0
32
32
32
8
8
0
0
0
0
24
0
8
0
0
0
16
16
24
0
0
4
0
0
8
0
8
27
8
0
0
0
0
8
16
16
32
0
0
0
0
0
26
26
1
8
24
8
20
0
16
2
2
8
8
0
0
8
0
0
30
30
8
8
4
9
18
1
1
8
0
0
0
24
24
16
16
2
0
0
8
8
0
0
0
8
16
16
16
0
0
0
8
0
8
16
0
0
4
0
0
16
16
16
16
16
16
25
0
8
8
8
8
8
0
0
32
0
0
0
9
0
16
0
0
0
8
4
0
0
0
0
8
0
0
0
0
0
0
24
16
0
8
8
8
34
0
8
8
8
8
8
0
0
10
10
19
59
24
4
4
6
2
16
8
8
8
0
16
16
16
4
0
0
0
8
0
0
17
8
1
0
24
0
0
5
0
0
1
8
8
1
1
0
1
24
0
0
8
49
8
0
0
40
8
32
32
32
0
8
0
0
0
8
0
27
28
0
8
0
0
0
0
2
2
0
8
8
8
4
16
16
8
8
8
8
0
8
0
0
20
8
8
0
0
0
0
0
0
0
4
4
0
0
1
0
8
8
8
0
0
8
8
16
0
0
0
2
16
0
16
8
8
8
8
8
0
0
0
0
0
0
0
16
8
8
4
0
24
4
0
0
24
8
0
0
0
0
8
0
16
0
1
8
24
2
2
0
0
8
16
8
8
0
0
0
32
0
0
0
0
16
16
16
16
0
0
20
16
0
0
0
0
0
0
8
8
8
0
0
0
2
0
0
0
1
1
0
16
16
16
0
0
0
0
0
8
0
0
0
0
0
0
6
0
0
0
16
0
0
0
30
0
0
16
0
8
0
0
0
0
0
0
0
0
16
16
10
0
0
0
0
0
16
16
0
24
8
0
8
0
2
0
0
0
0
8
4
1
24
8
0
8
0
0
1
0
0
0
34
5
0
18
8
0
0
18
18
18
16
8
0
0
8
0
0
2
9
1
0
16
4
4
2
24
0
0
4
8
0
0
0
0
8
8
0
8
0
0
0
0
0
16
16
2
2
2
0
0
0
0
0
0
0
16
0
8
3
3
4
0
0
0
0
0
0
1
0
16
16
0
0
0
0
0
16
16
24
2
28
0
0
0
0
0
0
8
22
22
0
0
0
0
0
0
18
18
0
0
2
2
8
0
0
0
0
0
0
16
2
2
8
8
0
16
24
8
0
8
8
8
8
8
3
20
0
8
8
0
1
0
0
0
0
24
24
38
8
24
0
0
0
0
0
0
0
24
24
20
20
16
0
0
0
0
2
2
2
4
4
8
8
24
24
0
0
8
8
0
0
0
16
16
16
8
0
0
0
0
0
8
0
0
0
0
0
8
2
0
0
9
1
0
0
0
16
0
8
4
0
0
0
8
16
16
0
16
0
16
0
2
16
0
0
2
2
0
0
1
16
1
4
4
0
0
16
20
20
2
2
0
16
0
0
0
0
0
26
16
0
0
8
8
0
0
0
0
8
0
18
0
0
0
34
0
0
0
0
20
8
16
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
8
8
0
0
0
0
0
8
0
0
0
0
12
4
0
8
6
6
0
8
8
8
8
0
0
4
4
0
0
16
0
0
0
4
18
2
0
0
1
2
0
0
24
0
0
2
8
8
8
0
0
8
16
16
16
8
0
0
0
16
16
16
0
0
0
0
0
16
0
0
0
8
0
8
8
4
0
0
0
0
0
0
0
24
8
8
0
0
0
1
1
0
0
0
0
0
0
8
0
1
0
0
4
1
2
8
8
0
0
0
0
0
0
8
0
4
0
0
0
8
0
0
16
0
4
4
8
8
8
16
0
0
1
0
16
16
0
0
0
0
12
0
0
0
0
0
5
0
0
0
19
19
18
18
16
16
16
1
1
0
0
0
0
1
1
0
0
4
4
21
0
8
0
4
4
16
16
16
16
16
16
0
4
10
0
16
16
16
0
3
12
12
4
0
0
0
0
0
0
0
0
8
8
16
0
0
0
0
0
0
0
0
0
0
25
18
18
0
0
32
0
0
0
8
8
8
0
0
0
8
16
16
0
8
8
16
16
16
16
0
0
12
16
0
0
0
8
0
0
16
16
16
16
16
0
8
16
16
0
2
0
0
16
0
0
0
13
0
0
0
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
16
0
0
8
20
16
16
0
0
0
0
0
0
0
0
0
0
0
16
16
16
16
0
0
0
24
24
8
1
0
0
0
8
1
0
0
16
24
16
16
16
2
0
1
0
0
0
16
0
0
0
0
9
1
8
8
8
0
0
0
0
0
0
0
16
16
8
8
8
8
8
0
0
32
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
8
0
0
0
0
0
0
0
0
16
16
40
4
4
0
16
16
0
0
0
8
8
8
0
0
0
16
18
4
4
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
4
48
0
0
0
0
0
0
4
4
20
12
0
0
16
20
16
16
16
2
2
16
0
0
8
0
4
4
8
5
4
0
0
0
8
0
0
17
0
20
20
0
0
2
0
8
24
4
4
0
1
16
0
0
8
16
0
8
4
4
16
1
8
1
0
2
2
0
0
0
0
0
1
1
16
8
0
16
0
0
0
0
8
18
2
1
25
8
8
20
20
0
0
0
0
8
8
16
16
16
8
0
16
8
4
0
4
0
0
0
0
0
0
0
0
0
0
0
0
1
4
8
0
4
8
8
0
16
8
8
8
32
0
10
2
16
4
4
16
0
0
0
0
0
20
20
0
2
29
8
0
8
8
0
0
4
4
4
4
0
4
0
8
8
0
0
0
0
0
0
16
0
12
12
12
0
16
16
1
0
0
2
22
16
0
8
8
16
8
24
8
8
8
8
8
8
0
24
0
4
4
0
28
16
20
0
4
4
4
24
8
8
0
4
0
0
8
0
0
2
8
16
16
8
5
24
0
8
8
0
0
8
8
8
8
8
16
16
16
0
0
0
0
2
4
2
10
0
1
1
1
0
0
0
0
0
21
16
8
4
4
16
16
16
16
0
0
4
9
9
9
0
0
8
8
16
16
16
16
0
4
4
0
8
0
0
8
2
0
16
16
1
0
0
8
8
8
8
1
1
8
14
14
14
16
16
8
0
4
4
4
0
0
8
4
16
6
6
6
16
40
4
1
16
16
0
0
20
20
8
0
0
12
16
0
8
8
8
1
1
32
1
1
0
8
8
8
0
16
0
8
8
8
0
16
0
4
6
0
0
0
0
0
0
0
4
4
4
4
8
8
8
0
0
25
0
0
0
16
16
2
8
0
0
0
8
0
16
0
0
8
0
0
0
0
8
2
2
2
2
2
8
8
0
0
0
0
16
0
0
0
0
2
16
16
16
0
0
0
8
8
0
0
4
8
16
16
16
8
8
8
0
0
0
0
8
8
0
0
16
0
0
0
4
24
0
8
2
0
0
0
0
0
0
0
0
16
0
25
25
25
25
24
24
16
16
4
4
0
16
8
0
16
4
8
0
4
16
1
18
8
0
0
0
8
8
8
0
16
16
0
0
8
8
0
0
0
0
0
16
16
16
16
0
0
0
0
8
16
60
28
32
60
0
0
18
8
8
0
4
2
8
8
16
24
4
4
16
0
0
0
0
0
16
8
0
8
4
1
1
0
12
12
0
0
0
0
0
0
0
0
0
0
4
8
8
8
32
0
8
8
1
1
8
17
2
0
0
0
8
2
24
8
8
8
20
4
1
0
0
8
0
0
32
0
16
0
0
24
24
8
8
0
13
6
8
0
0
0
0
4
0
4
8
10
0
0
32
0
0
0
0
0
0
16
32
0
0
0
0
0
0
18
8
0
0
8
0
0
0
0
0
4
4
0
0
0
0
0
8
12
16
16
8
0
0
0
4
8
8
8
8
8
0
41
41
0
8
0
16
0
0
0
10
2
8
8
0
16
2
8
8
8
1
8
0
0
0
0
4
4
0
0
0
0
18
18
18
0
0
0
0
0
0
8
8
8
0
0
0
0
16
0
0
0
8
8
8
8
0
0
0
8
8
8
0
4
4
0
8
0
8
0
0
4
4
2
2
20
20
20
8
8
8
8
4
8
2
2
0
4
0
2
2
0
4
16
0
0
5
0
0
0
2
2
2
2
0
8
8
8
0
8
0
8
0
0
0
7
0
0
0
0
0
8
16
0
4
0
0
0
14
0
18
2
2
0
0
16
0
24
8
8
8
0
4
2
8
0
0
0
0
8
8
1
8
0
0
0
16
0
0
0
0
8
0
8
8
0
8
2
0
8
8
0
0
16
0
8
8
0
0
0
1
1
8
8
24
2
12
0
0
0
8
0
4
0
0
0
16
16
8
0
0
0
0
0
8
16
8
8
0
8
8
0
8
8
4
4
4
0
0
20
4
0
0
20
20
8
8
8
0
5
5
0
16
4
16
1
3
0
1
0
0
8
0
18
4
8
0
0
0
0
24
24
24
5
5
0
8
8
0
24
0
0
2
2
8
0
8
8
1
1
0
8
8
0
0
0
0
8
8
0
0
1
1
16
8
8
0
0
0
0
0
0
20
0
8
1
1
16
16
8
8
8
8
8
1
3
8
8
0
8
8
8
20
0
2
2
2
8
8
8
8
1
1
1
1
1
8
0
8
8
8
1
1
1
1
1
1
1
1
1
0
16
2
0
8
8
4
8
16
0
35
35
35
0
0
0
16
16
24
0
12
12
0
0
0
0
0
0
8
8
8
8
8
0
32
0
16
0
0
8
0
0
0
25
13
8
8
8
8
1
0
8
8
8
0
0
0
0
0
0
0
4
8
0
0
0
4
12
12
8
8
16
0
0
0
0
24
8
8
24
24
24
24
0
0
29
4
4
0
24
30
4
4
4
0
0
0
8
0
8
16
0
0
8
0
8
16
16
16
0
0
0
24
24
0
0
16
0
0
0
16
24
6
1
16
8
8
8
8
8
0
0
0
20
20
20
0
8
8
1
8
8
0
0
0
8
1
0
0
1
0
0
4
8
8
16
16
2
0
8
8
1
0
8
8
8
4
16
8
1
1
0
0
0
8
0
0
0
2
2
0
0
1
1
1
2
16
16
16
0
1
1
1
4
12
12
12
0
2
2
2
16
0
0
0
28
4
4
4
16
0
20
20
20
18
0
0
16
16
16
4
16
0
0
0
1
1
1
0
0
8
8
0
0
2
2
2
0
8
8
8
12
0
0
0
0
0
16
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
8
8
17
1
0
0
8
1
4
4
0
0
1
18
0
0
8
0
0
0
0
1
1
25
25
8
1
1
16
16
8
8
0
0
0
0
0
0
0
0
8
0
0
0
0
16
16
0
0
0
0
6
6
6
6
1
1
8
8
8
16
0
0
0
0
0
0
8
10
10
16
0
16
0
0
4
8
0
0
0
0
0
0
0
0
0
32
32
32
32
32
0
0
0
8
1
32
0
0
0
0
8
16
16
0
0
8
8
8
2
4
0
0
0
0
0
0
0
8
8
8
8
8
1
0
0
0
0
21
5
0
0
0
8
0
19
0
36
0
0
0
0
0
16
16
8
1
16
16
16
0
0
0
4
0
10
41
0
0
0
1
1
1
0
8
8
8
0
1
20
20
0
0
0
0
0
0
0
16
16
8
0
2
0
0
0
8
8
8
8
8
0
8
4
0
0
8
8
32
0
16
0
0
0
5
5
0
8
8
0
1
9
1
0
0
1
8
0
0
40
40
16
0
2
6
4
16
1
16
36
0
0
0
0
0
0
8
8
0
0
8
0
0
0
0
0
0
0
4
0
0
4
0
0
4
2
0
2
8
8
8
4
16
2
2
0
0
16
0
0
16
0
0
21
21
16
0
0
4
4
16
9
0
0
1
1
0
0
57
0
2
2
8
0
0
0
0
0
0
32
32
16
32
8
8
0
16
0
17
17
17
0
0
0
0
0
0
4
0
0
0
4
0
0
0
16
16
16
8
4
16
16
16
0
4
4
8
4
4
8
8
32
8
32
4
4
8
0
1
48
32
0
0
36
9
8
4
8
1
1
32
32
0
0
16
8
0
0
2
16
16
16
16
8
12
16
16
0
0
0
0
0
0
8
8
0
0
16
0
0
0
4
2
4
0
8
8
0
8
0
4
16
16
8
8
0
4
32
32
0
0
20
20
20
20
0
0
29
25
1
1
8
0
0
8
1
8
8
4
4
4
4
4
16
8
4
4
8
0
0
8
8
0
0
0
0
16
16
0
0
0
16
16
16
16
24
0
8
0
9
9
0
8
16
8
8
8
0
0
8
24
0
0
0
4
0
18
8
8
8
16
4
0
0
0
16
16
8
4
4
0
0
8
8
8
8
0
8
0
0
0
0
0
16
4
0
8
0
25
25
8
8
8
1
0
18
18
10
16
0
2
2
0
24
0
8
0
24
24
8
0
0
0
8
8
0
0
0
8
0
1
1
16
16
4
4
4
8
1
40
0
0
16
8
8
8
18
0
0
20
20
8
8
8
0
0
0
16
0
10
0
0
8
0
0
4
1
17
0
8
8
0
0
2
24
5
0
16
0
0
0
0
2
8
8
8
4
16
0
0
0
0
0
8
16
16
8
8
8
8
8
8
8
8
8
8
44
16
8
8
0
4
4
2
2
2
2
4
4
0
8
0
1
1
8
8
0
0
0
0
8
8
12
12
0
0
0
0
4
4
8
8
8
0
0
0
0
16
0
0
8
2
2
0
0
0
16
0
17
17
20
4
16
0
0
0
0
0
0
4
0
8
8
8
8
8
1
0
16
16
8
8
8
0
0
0
0
0
16
16
8
4
4
0
8
0
0
8
0
0
0
8
8
8
8
16
18
0
1
1
0
0
0
1
0
8
0
16
8
8
1
8
8
0
8
8
1
1
0
20
52
20
8
8
8
16
16
4
4
4
2
2
6
8
8
0
16
16
0
8
0
16
8
8
8
18
16
12
12
0
16
1
0
17
17
17
16
16
16
16
16
8
4
4
10
1
1
1
0
0
0
18
0
0
0
16
0
24
0
8
0
0
6
8
8
8
0
32
32
4
1
0
0
0
0
18
18
16
16
0
8
8
0
0
0
0
0
0
4
0
32
32
16
16
0
0
1
1
0
0
16
16
0
0
0
0
11
4
16
8
0
8
4
0
20
0
0
8
0
8
0
0
8
8
8
0
0
0
16
8
8
4
0
24
24
0
0
0
8
0
0
16
0
8
0
8
8
4
4
4
16
16
8
8
8
0
8
0
0
0
0
0
0
0
0
27
0
0
16
8
8
8
8
0
0
0
16
16
12
0
0
0
0
0
4
8
8
8
8
8
8
0
0
0
0
8
8
2
2
0
0
8
8
8
8
0
0
4
4
4
8
4
4
4
4
0
0
8
8
0
4
12
0
0
0
0
0
16
2
0
28
0
0
20
32
8
0
9
0
0
0
8
0
0
16
4
2
16
16
16
8
8
8
0
0
4
1
0
16
16
16
4
0
0
0
0
0
8
2
2
0
0
12
4
4
8
16
8
8
8
8
0
8
0
8
8
8
8
4
16
0
8
0
14
14
14
0
0
0
0
8
8
0
0
0
24
8
16
8
8
1
1
24
0
0
4
16
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
4
1
9
1
1
0
0
8
8
8
8
0
0
0
2
16
0
0
4
4
4
16
0
0
8
8
0
8
0
0
8
8
8
0
0
16
0
0
0
0
0
0
0
0
8
8
0
0
0
16
0
0
16
16
16
0
17
16
5
5
60
4
8
8
8
0
8
8
8
8
0
24
16
0
8
8
1
16
0
0
0
0
24
24
24
24
24
24
0
8
8
8
8
10
8
8
16
0
8
8
8
8
16
0
0
28
0
0
0
0
0
17
16
9
9
9
24
24
24
24
24
8
0
0
0
16
16
4
20
4
16
0
0
24
24
0
0
8
8
0
8
0
0
0
8
8
2
8
8
10
8
8
16
1
16
16
0
8
8
0
0
0
2
32
32
0
0
16
1
40
8
32
32
8
8
8
8
8
8
8
32
24
24
0
0
0
0
0
4
0
0
16
0
0
0
8
8
8
0
0
37
37
8
0
0
0
1
8
4
8
0
0
0
8
11
0
1
0
4
8
8
4
0
4
1
4
8
8
8
0
8
40
0
0
0
0
0
4
0
0
8
4
4
4
4
0
0
0
2
2
0
0
0
0
0
0
0
8
8
20
2
2
2
2
8
8
0
8
0
0
0
0
0
0
1
0
0
0
0
0
8
0
0
0
0
0
4
20
8
8
8
8
8
0
0
16
1
0
24
0
8
36
0
0
20
20
16
16
0
0
0
0
8
0
18
0
8
0
0
0
0
4
4
4
0
0
0
8
0
8
8
8
8
16
0
27
16
0
0
1
0
0
32
32
8
8
8
0
8
8
8
8
8
0
16
16
16
16
16
16
0
8
8
8
4
4
0
8
0
2
2
4
4
1
52
8
24
16
16
16
8
0
0
8
0
0
1
8
8
24
16
16
32
0
24
4
0
0
16
16
16
29
29
8
8
8
4
4
4
0
16
8
8
16
16
0
8
8
8
0
0
0
8
8
0
18
0
0
0
4
24
0
8
8
8
8
8
2
2
2
0
0
0
1
0
0
8
8
8
8
8
8
0
8
6
6
4
0
0
0
0
0
0
18
0
8
8
2
2
0
0
0
0
0
0
25
9
4
0
17
1
1
4
0
12
12
2
8
8
8
8
2
2
2
2
2
8
8
8
3
2
8
16
16
16
8
8
0
0
0
16
16
16
16
16
16
0
0
0
0
0
0
0
0
0
2
2
24
8
24
24
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
10
10
16
16
0
0
0
16
8
16
0
0
8
1
16
16
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
8
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
16
8
8
0
8
8
0
0
0
0
0
26
8
8
0
0
0
0
0
0
0
0
8
0
8
0
16
0
0
0
0
0
8
0
4
4
0
0
0
4
8
0
9
16
0
1
1
4
4
0
0
0
0
8
0
17
17
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
32
32
0
0
16
4
4
0
0
4
4
1
1
2
16
0
0
0
0
0
4
59
59
0
0
0
0
4
4
0
13
13
0
0
8
8
8
0
2
2
0
0
4
4
17
1
16
8
2
0
0
0
0
2
1
0
8
8
0
0
8
0
3
2
0
4
9
0
8
0
0
0
0
16
0
0
0
0
8
0
0
32
0
0
0
0
0
0
0
0
16
0
0
18
0
0
16
18
4
0
0
1
1
8
0
0
0
0
0
0
0
16
16
4
4
0
0
0
13
13
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
8
8
0
0
0
0
0
8
28
0
16
0
2
2
8
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
1
8
8
8
8
0
8
0
0
0
8
24
7
7
7
7
4
4
4
17
17
17
8
16
0
28
0
6
0
0
0
0
0
8
8
0
16
16
4
0
0
0
8
0
0
0
2
2
1
0
0
4
0
5
32
0
8
0
0
4
4
0
0
8
8
8
2
8
4
4
4
0
40
40
0
0
0
16
0
0
0
16
0
4
0
0
0
0
8
0
0
4
0
0
0
8
8
0
0
0
0
16
0
0
0
8
8
8
8
8
8
8
8
4
0
0
0
24
0
0
0
16
0
16
16
16
0
16
16
8
8
26
4
0
0
16
0
0
0
4
4
4
8
0
0
0
0
8
16
16
0
4
4
4
2
2
0
4
0
16
16
0
8
1
8
0
0
16
0
0
16
0
12
0
0
0
24
18
18
0
16
16
0
0
8
8
9
9
0
8
0
0
4
10
0
0
0
0
0
0
0
8
8
16
8
8
8
8
0
0
8
8
8
8
8
0
2
0
0
4
4
4
18
16
16
1
1
8
0
16
0
0
16
16
16
0
4
24
8
8
8
13
1
24
24
8
0
0
0
0
0
8
8
0
24
0
0
0
0
0
8
8
0
4
4
8
8
16
16
0
0
0
4
8
4
0
0
0
4
26
26
26
26
1
1
2
16
0
0
0
16
16
8
8
0
1
1
1
0
0
2
2
0
32
0
8
20
20
20
20
20
3
0
0
0
0
0
0
8
8
0
0
0
24
16
0
4
1
0
16
16
0
0
0
0
0
0
16
0
8
8
8
8
0
0
0
16
16
8
8
8
8
0
0
0
32
40
0
48
0
0
0
0
8
0
16
0
0
1
0
17
16
16
16
16
0
16
20
0
0
0
0
0
0
8
8
0
0
0
29
29
29
29
29
29
0
16
0
0
0
0
0
0
8
0
1
0
8
0
0
0
0
16
0
16
16
0
0
8
8
16
2
2
16
0
24
2
48
56
48
4
0
22
22
16
1
8
0
0
16
16
16
0
16
0
40
40
16
0
0
0
0
0
0
0
32
8
1
1
0
0
18
8
0
24
0
0
0
1
0
16
0
0
16
31
8
0
0
5
0
16
0
0
0
0
0
5
0
0
4
4
4
0
1
0
0
0
0
0
10
10
0
0
8
6
9
0
16
0
16
8
24
8
8
0
0
0
0
0
0
0
1
4
16
16
0
0
0
8
0
4
16
0
8
8
0
0
0
16
16
0
0
0
16
16
8
1
0
2
0
8
0
0
0
0
0
0
8
0
0
16
16
0
8
8
0
0
0
0
2
2
0
0
8
8
8
8
0
0
0
0
8
8
8
0
0
0
0
32
32
5
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
8
0
0
0
0
12
0
0
4
16
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
8
48
0
0
8
16
0
0
0
10
0
0
0
0
16
0
5
0
10
2
8
8
0
0
16
16
0
0
0
4
0
0
0
16
0
4
16
20
16
16
0
0
4
20
0
0
16
0
0
0
0
4
0
0
1
8
8
2
2
0
0
0
0
0
32
0
4
0
0
8
8
8
0
8
0
0
6
0
16
0
0
0
16
0
0
0
0
0
0
0
0
1
1
0
4
4
0
0
16
0
0
0
2
0
0
0
1
8
8
8
0
0
0
0
0
0
4
0
8
8
0
0
8
16
0
0
0
8
0
8
0
4
12
1
0
8
8
12
12
12
4
1
16
0
8
8
0
16
16
16
13
13
13
16
16
0
9
0
0
0
38
0
0
32
0
0
0
0
0
0
8
8
8
0
0
4
0
0
2
16
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
16
8
0
0
8
8
8
8
8
8
4
16
0
8
16
16
0
0
0
0
0
0
8
28
28
2
8
0
4
0
0
0
0
0
1
8
0
0
8
6
0
0
4
8
24
0
0
0
0
0
8
20
0
0
0
0
16
18
0
1
0
32
8
8
0
0
0
0
0
0
0
16
16
16
0
0
8
0
0
0
0
8
8
6
4
0
4
0
0
0
0
16
0
0
4
7
0
0
0
0
0
0
0
0
4
0
1
0
24
8
0
0
0
0
0
0
2
16
16
16
0
0
0
0
8
0
0
4
4
0
8
0
0
0
24
8
0
1
1
0
4
4
4
4
0
2
2
32
0
8
0
0
0
8
9
0
0
0
0
8
8
8
4
16
8
0
0
16
0
8
9
0
0
24
3
8
8
1
1
33
4
4
0
0
0
16
0
0
0
4
4
0
0
17
17
16
10
0
0
1
0
0
0
0
0
0
0
0
4
8
8
0
0
0
8
8
16
0
32
0
0
32
4
4
8
0
0
0
8
0
0
0
0
28
8
8
8
24
16
0
0
0
16
16
8
16
0
0
8
16
0
0
8
1
0
8
0
0
0
0
23
0
16
16
18
8
0
6
0
0
1
0
0
0
4
4
0
4
20
0
8
0
0
0
0
0
0
0
8
8
0
0
0
8
8
4
4
4
0
0
0
44
0
0
1
1
4
12
16
0
0
4
16
0
4
4
4
0
4
0
24
24
0
9
16
0
18
18
16
16
0
16
16
8
16
16
0
16
16
4
0
0
0
0
0
0
5
5
5
8
0
42
8
16
16
0
0
16
0
2
8
8
8
0
0
0
8
0
2
32
32
8
8
8
0
0
0
20
0
12
12
0
0
8
0
0
1
0
8
8
0
2
0
0
0
0
0
4
4
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
1
0
0
8
0
0
0
0
0
24
8
0
0
8
8
8
8
8
8
0
8
0
0
0
0
2
2
2
2
0
8
1
8
8
16
0
0
0
0
8
0
8
0
0
0
0
0
0
0
16
4
0
4
4
0
0
0
7
7
8
16
16
16
16
16
0
24
4
0
4
16
0
0
0
0
0
8
16
0
2
2
16
0
0
0
0
8
8
8
0
0
0
0
2
2
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
8
10
6
18
18
18
18
0
16
16
0
0
8
8
20
20
0
8
16
8
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
8
8
4
0
0
0
0
0
0
4
0
8
8
8
0
0
0
0
0
0
14
0
8
8
8
0
8
8
8
16
0
0
0
0
16
0
16
16
0
0
0
16
16
0
9
0
0
0
16
0
0
0
16
0
0
8
8
0
4
0
0
0
0
0
0
2
2
0
0
0
20
20
16
48
8
8
0
0
0
0
0
2
2
0
0
16
16
8
0
8
8
8
0
0
8
0
0
0
0
16
0
16
16
0
0
0
0
0
0
16
26
0
0
20
0
8
0
2
0
8
2
0
0
0
5
1
8
0
0
1
1
8
17
17
0
0
0
8
8
33
16
16
0
0
8
8
8
8
8
0
0
0
8
8
2
2
8
0
4
4
8
0
0
1
4
4
2
0
0
32
32
0
2
0
0
0
4
0
0
1
1
1
0
0
0
0
0
0
1
0
16
0
0
2
2
0
0
16
1
0
0
4
56
32
1
1
8
8
0
0
0
2
0
0
2
0
0
0
0
1
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
8
0
0
8
16
20
0
8
0
0
0
0
8
0
0
4
4
37
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
1
0
1
0
0
18
0
19
8
0
0
0
0
0
0
1
0
0
0
20
0
0
0
0
0
8
8
0
0
0
0
0
0
8
0
0
0
0
8
24
24
24
24
16
2
2
4
4
4
16
0
0
0
16
2
0
0
4
0
0
0
4
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
8
0
4
8
0
8
32
32
0
0
0
0
2
2
16
8
16
16
16
0
16
0
16
16
0
0
10
0
0
0
1
0
0
0
0
8
0
0
8
57
57
1
0
0
1
1
0
0
0
0
0
2
0
16
0
0
0
0
8
8
2
0
20
0
0
16
0
0
0
0
0
0
0
0
4
8
0
0
0
8
0
16
16
0
0
2
0
0
0
0
1
16
0
0
0
0
25
8
8
8
4
1
1
0
0
0
0
16
0
0
0
0
0
0
12
8
8
8
0
16
8
1
4
32
0
0
0
0
0
0
0
8
8
16
8
8
0
4
4
8
0
16
0
8
0
16
12
12
8
0
16
40
0
0
0
0
0
0
0
0
0
0
0
0
0
8
1
32
16
0
0
16
0
1
20
0
0
0
0
0
8
8
0
0
0
0
20
0
0
0
0
0
0
0
0
0
0
0
0
9
0
9
4
5
0
0
0
0
8
2
2
8
8
0
0
0
0
0
8
8
0
0
16
2
16
0
0
0
8
8
8
8
0
0
8
0
8
8
4
4
2
2
2
2
2
2
16
16
0
8
0
16
16
16
16
16
16
0
8
0
0
0
0
32
8
8
0
0
0
41
41
41
0
8
8
8
8
16
0
0
0
0
0
8
0
33
33
33
4
4
0
6
0
0
8
0
2
2
8
8
8
8
8
0
2
0
24
16
0
0
3
8
8
0
0
4
0
0
8
0
0
0
0
0
32
0
0
0
0
0
0
0
16
0
0
0
8
8
8
8
8
8
8
8
4
0
0
16
16
0
0
0
1
1
1
32
48
32
1
1
1
1
0
0
0
8
0
0
0
0
0
0
0
0
0
0
4
8
12
0
4
4
0
0
0
0
0
0
24
24
12
8
16
0
8
8
0
0
0
0
0
16
16
16
0
0
16
4
8
0
0
4
0
0
8
0
0
0
8
16
0
0
0
0
0
0
0
0
0
8
8
8
8
8
8
16
8
60
60
4
0
2
0
2
2
16
8
8
8
16
16
0
0
0
4
4
8
8
8
8
8
8
8
1
0
8
0
0
0
1
8
8
8
8
8
8
0
0
1
0
16
16
16
16
0
8
32
0
24
16
24
8
0
8
8
0
8
19
1
0
0
16
2
32
32
32
32
4
4
4
0
8
0
0
0
8
8
6
2
2
8
8
0
0
0
6
0
0
0
8
16
10
10
4
8
0
0
0
22
8
20
8
0
8
8
4
0
8
8
8
10
28
28
8
8
8
8
4
4
8
8
18
18
18
8
0
32
2
6
0
8
0
0
0
8
8
24
24
24
16
8
8
8
8
8
8
16
16
8
16
16
16
4
20
4
4
4
8
8
16
0
16
0
0
24
16
4
23
0
0
0
0
0
0
0
0
0
0
0
0
0
16
2
8
8
0
16
0
20
20
0
0
8
32
32
0
8
8
0
0
0
0
0
8
16
16
16
16
16
8
24
8
8
8
8
0
4
0
0
16
8
8
0
0
0
8
8
0
8
0
0
0
0
0
0
0
16
8
8
8
0
8
4
8
0
16
16
8
17
16
8
8
8
0
0
0
0
0
0
1
1
16
24
2
16
0
4
4
4
0
0
0
8
8
1
0
0
16
16
12
0
0
0
0
8
0
0
1
16
16
0
8
0
0
8
2
8
0
16
0
8
8
16
16
0
0
0
0
0
0
1
1
19
0
8
8
42
42
42
4
1
4
8
16
0
8
0
0
0
0
0
16
16
4
20
16
0
8
0
0
0
8
16
16
2
8
16
1
1
1
0
0
4
6
12
0
8
0
8
8
0
0
0
0
0
8
0
0
0
8
24
8
2
2
24
24
24
16
16
16
16
16
0
0
0
0
0
8
0
2
2
8
24
0
0
0
0
8
1
8
8
0
1
1
1
0
24
0
4
4
16
16
0
2
0
0
0
8
4
4
4
10
0
16
8
8
8
8
12
8
0
0
0
12
32
0
4
0
24
17
0
0
8
8
8
8
4
16
16
0
0
0
0
0
8
8
8
16
4
0
8
8
8
8
8
8
4
0
16
16
0
1
0
16
16
4
0
0
0
8
21
21
8
16
16
8
8
8
8
8
8
8
8
8
0
0
0
0
5
5
8
8
8
16
2
0
6
16
16
16
8
0
8
4
0
0
8
0
16
32
8
8
0
0
0
0
0
0
0
2
4
4
12
2
17
25
0
8
8
8
0
8
8
8
1
1
8
16
6
6
8
1
4
4
16
8
8
1
8
8
8
8
8
0
24
24
0
0
0
0
0
16
2
0
4
0
0
0
0
1
1
8
8
8
4
0
1
8
9
9
0
56
0
8
0
8
24
24
24
8
0
0
0
8
8
8
8
8
8
8
8
0
0
8
0
0
0
16
20
16
8
8
0
25
25
8
0
0
20
0
0
16
16
16
8
0
8
24
4
4
8
0
4
8
16
16
16
16
16
8
0
4
0
0
0
16
9
8
0
0
0
8
8
8
24
8
8
8
0
8
4
0
0
0
4
61
0
0
0
0
8
0
0
8
8
16
16
2
16
0
4
0
8
16
16
8
8
8
2
2
2
0
8
16
8
42
24
0
0
16
0
0
0
0
8
32
33
32
0
2
8
8
8
0
0
0
0
0
0
16
16
8
0
4
0
0
32
0
0
0
0
8
0
8
0
16
0
0
0
0
16
0
0
2
2
2
32
32
0
0
0
2
8
8
8
0
0
0
0
0
0
0
0
34
34
0
1
8
8
0
16
16
8
0
8
8
8
8
8
1
8
8
8
8
1
8
16
8
4
0
0
8
0
0
0
0
0
0
0
8
8
8
0
1
1
0
2
8
21
17
17
0
16
16
16
0
8
8
8
8
8
0
0
0
0
22
22
0
4
8
16
16
17
0
0
0
0
4
1
0
8
8
8
4
0
8
0
8
8
0
16
16
2
2
2
0
8
8
2
2
0
0
25
0
8
0
16
8
8
0
0
0
0
0
8
8
0
0
16
16
8
4
5
13
0
0
0
0
0
0
6
6
32
32
32
16
0
0
1
0
0
0
0
16
8
8
8
8
0
0
0
0
0
0
45
36
8
2
2
0
0
0
16
16
16
16
0
0
0
0
0
0
16
16
0
8
8
2
2
0
0
0
0
0
0
4
4
0
0
24
0
8
8
16
8
20
16
16
16
16
0
0
0
0
0
24
24
8
0
0
0
0
0
8
12
8
1
8
8
16
16
0
4
4
2
0
8
8
20
0
2
32
36
16
0
0
8
8
8
3
3
0
8
8
8
8
16
16
0
33
8
8
8
0
0
16
0
16
16
8
0
0
0
20
8
8
16
0
0
8
0
0
16
0
2
2
16
2
4
1
2
2
0
16
16
16
0
12
8
8
0
0
0
4
0
0
16
16
16
0
0
4
8
8
8
8
8
0
0
0
2
2
8
4
0
0
0
0
8
0
8
0
0
8
8
8
8
8
0
16
16
0
0
8
8
1
0
8
1
0
8
8
0
16
8
0
8
8
8
8
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
32
34
0
16
8
0
0
8
0
0
8
8
8
8
8
8
27
8
4
6
42
4
4
4
4
4
4
0
0
2
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
8
0
0
24
4
0
1
0
0
0
0
0
0
8
8
16
16
1
8
2
0
8
8
0
24
24
8
0
8
0
20
20
8
8
8
0
8
8
8
16
16
0
8
8
8
8
8
8
8
11
11
11
11
0
8
8
0
0
8
8
2
4
4
8
8
0
6
6
6
8
8
8
8
32
16
16
16
1
8
8
0
14
9
9
1
0
1
1
8
8
8
0
8
26
0
40
40
8
0
2
10
1
1
1
1
16
2
0
0
0
0
8
8
8
8
8
0
8
20
8
0
0
0
8
8
0
0
3
3
16
16
8
8
8
32
2
2
2
1
0
8
17
0
0
0
16
0
0
0
0
8
8
8
0
0
8
8
8
8
0
8
16
16
16
0
16
16
0
16
16
4
8
8
0
0
16
16
48
32
0
0
4
8
16
24
8
8
0
0
4
0
8
0
0
4
0
0
0
0
8
0
0
8
32
0
1
9
16
0
8
0
0
8
8
8
4
2
2
8
0
0
0
0
0
8
8
0
0
16
24
16
0
2
0
0
4
4
2
16
16
8
8
8
8
0
8
0
8
0
0
0
0
0
0
17
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
4
0
8
4
28
16
0
8
17
1
1
20
16
16
8
1
1
0
26
0
16
8
18
16
16
16
0
0
16
8
8
8
8
0
16
0
0
0
16
16
4
0
2
2
8
4
4
16
8
1
0
0
0
16
16
16
16
0
0
24
24
0
8
8
8
8
26
0
0
0
0
0
0
0
0
2
20
20
8
8
8
0
8
8
8
8
8
8
8
8
8
0
0
0
8
0
16
16
20
20
20
20
4
8
25
1
1
2
8
8
8
8
41
32
32
32
1
0
16
0
0
8
8
0
0
0
0
0
0
0
0
4
4
12
0
0
0
0
0
0
8
8
0
0
16
0
8
8
8
8
8
8
24
24
25
25
25
0
32
0
0
0
8
8
8
0
8
8
0
16
8
18
16
6
8
0
2
8
8
24
24
16
16
8
0
8
50
4
32
0
0
0
0
1
8
8
8
0
0
0
10
16
16
16
16
4
4
0
16
32
2
2
0
8
8
8
8
8
8
16
2
0
0
34
34
0
0
0
0
2
0
0
4
8
0
8
24
8
8
8
0
0
0
0
0
0
0
0
0
8
0
8
0
0
0
0
0
0
1
1
1
0
8
0
0
0
16
16
16
1
9
9
1
0
0
0
8
8
0
0
0
0
8
0
0
0
8
24
8
16
16
9
16
8
3
3
8
8
0
1
16
8
8
0
4
4
4
0
0
0
10
10
0
16
16
8
8
16
0
0
0
0
0
0
16
16
0
0
4
8
8
24
24
16
8
17
17
0
8
16
0
0
8
0
8
16
16
8
8
0
0
24
0
4
8
8
8
8
8
0
57
0
0
0
20
0
8
11
8
16
16
16
16
16
16
4
0
1
0
4
8
1
1
1
1
1
8
0
16
16
0
4
4
4
0
1
0
0
16
1
0
17
17
0
48
32
8
8
1
16
0
0
0
0
0
0
8
0
4
0
2
0
0
0
0
2
8
24
24
0
0
0
20
0
0
0
8
8
8
8
8
8
8
0
16
0
0
0
0
16
8
4
16
8
0
28
24
0
4
0
1
10
16
16
0
0
0
0
0
0
16
0
0
0
8
8
0
8
0
16
0
0
8
8
0
0
0
0
0
8
25
25
0
8
0
0
0
0
0
0
0
16
0
8
0
17
0
2
2
2
2
18
18
2
4
4
4
4
8
8
8
8
8
0
0
0
0
24
16
0
0
0
4
0
0
0
0
0
32
0
8
0
0
0
8
8
0
0
8
16
0
6
0
0
0
0
8
0
0
8
0
0
4
8
8
0
0
8
8
1
20
22
0
0
0
32
0
8
8
8
0
8
25
24
0
8
0
0
0
26
4
0
0
0
0
24
8
1
1
0
8
16
0
0
8
8
8
0
8
8
8
0
0
0
16
24
0
0
9
0
8
13
13
8
0
8
8
8
16
4
6
16
0
0
0
0
8
0
0
0
0
0
0
0
1
1
1
4
0
0
0
0
16
22
0
4
4
8
0
0
0
0
12
0
0
0
8
0
0
0
16
8
0
0
8
8
16
8
8
0
1
1
2
2
16
32
16
16
8
8
0
16
0
16
16
24
24
0
0
0
8
8
8
8
8
0
0
8
0
0
1
8
0
24
8
0
8
8
8
8
0
0
16
9
9
9
8
32
32
0
0
8
0
0
0
4
8
2
2
2
2
2
8
8
8
0
16
0
4
0
8
8
16
16
16
0
0
8
8
8
8
8
4
4
16
16
16
16
8
0
16
8
8
0
0
0
1
8
8
0
0
0
0
20
0
6
6
0
16
16
16
0
24
0
1
8
8
8
0
0
8
8
4
0
16
0
0
0
0
1
16
16
2
2
8
8
0
0
0
0
0
8
8
1
5
16
0
8
0
0
8
8
17
16
16
16
16
16
16
0
0
1
8
8
32
32
32
0
8
8
8
8
8
8
17
0
0
0
16
8
8
8
0
0
0
8
8
0
0
1
16
16
0
0
0
0
2
4
8
0
2
0
2
2
8
8
0
0
0
4
16
0
8
8
8
8
8
16
8
8
8
16
16
16
24
0
0
8
0
8
0
8
8
8
0
0
0
0
0
8
8
8
16
0
8
0
16
0
0
0
0
12
0
0
0
16
16
16
16
16
16
0
8
32
33
0
0
0
48
48
8
8
8
0
0
0
0
2
2
0
8
8
17
16
16
16
2
2
2
2
2
2
0
8
0
0
0
0
16
16
16
16
8
0
8
0
8
8
16
16
16
16
16
16
0
8
0
0
0
8
0
16
16
0
0
16
0
0
0
4
0
0
0
0
0
0
1
8
0
0
16
8
8
0
0
8
8
8
8
4
8
4
0
0
0
0
0
0
0
0
8
4
8
8
0
4
8
0
49
49
32
0
0
24
7
2
16
16
56
8
8
8
8
8
8
0
0
0
8
0
0
0
0
0
5
0
8
8
16
16
0
0
0
0
0
10
0
8
4
8
2
0
16
32
0
2
48
8
0
16
20
1
1
16
16
17
0
0
16
20
0
0
8
0
32
4
16
0
0
16
0
0
0
0
0
0
8
8
8
8
9
0
16
16
1
1
1
0
0
0
0
0
0
8
8
16
0
16
16
8
0
0
34
8
8
8
8
0
1
1
1
12
16
16
0
0
0
2
2
0
8
1
0
8
8
8
0
24
12
4
0
0
20
8
8
8
4
0
8
8
8
0
14
2
24
0
8
0
2
0
0
0
0
0
4
0
9
8
16
0
0
0
0
8
0
24
16
8
8
32
16
0
1
1
16
8
0
0
14
0
0
0
0
2
8
8
8
8
12
8
9
8
4
4
8
8
8
8
4
4
0
0
0
0
0
0
0
16
16
16
16
16
32
32
0
10
0
0
16
8
16
18
0
0
0
0
2
0
16
16
16
16
0
8
8
0
0
2
6
2
8
8
8
0
8
0
16
0
0
1
1
2
16
16
1
1
8
8
8
1
8
8
8
0
0
0
0
0
0
0
16
16
0
24
24
24
24
0
2
0
0
16
16
16
8
0
1
2
0
0
0
8
0
8
8
24
1
1
8
0
0
0
8
4
8
8
8
1
8
8
0
8
16
16
0
16
0
0
8
8
16
16
16
8
3
0
8
8
0
0
16
8
0
0
0
0
0
1
4
4
8
16
16
16
24
24
0
8
8
24
24
1
0
0
0
0
8
0
0
16
8
8
8
8
0
0
16
4
4
48
48
24
0
4
4
24
0
0
0
0
0
6
8
8
8
8
17
8
0
0
0
8
8
8
8
8
24
24
24
24
0
0
4
0
0
8
8
8
8
16
10
16
16
16
8
0
0
8
8
0
0
0
8
8
0
0
0
0
8
7
0
0
8
0
0
8
0
16
0
16
16
8
8
0
0
0
0
0
4
0
0
0
0
16
4
0
0
0
0
0
8
1
1
1
2
2
0
16
2
0
8
8
12
0
0
8
0
0
16
0
0
8
8
8
6
6
24
8
8
0
0
0
0
1
1
1
0
8
4
16
0
8
0
0
16
2
8
8
4
16
16
0
0
0
0
0
0
0
1
0
0
16
16
16
16
16
16
0
0
0
0
8
8
0
0
16
16
0
16
16
16
0
16
8
8
8
8
0
0
0
0
0
0
16
16
0
0
0
0
16
16
16
16
16
0
0
16
0
0
25
8
6
8
8
8
17
17
4
4
0
0
0
1
0
0
0
0
16
0
0
8
0
0
0
4
4
8
8
8
0
0
16
0
8
8
0
8
0
2
2
2
0
8
24
8
8
16
4
8
8
0
16
16
16
16
16
8
8
16
0
0
8
8
8
0
8
8
0
0
16
16
1
0
24
24
1
1
0
0
16
8
0
8
8
8
8
1
4
0
8
8
8
8
16
40
8
0
4
20
20
20
20
4
8
8
24
8
4
4
18
18
8
8
0
24
0
24
8
0
24
16
16
16
16
0
0
4
0
0
0
0
0
0
0
16
0
0
1
1
8
0
0
8
16
0
0
0
24
8
8
0
8
0
0
8
8
16
16
16
16
0
18
18
0
0
0
30
30
0
4
16
16
0
0
16
8
8
24
24
8
8
0
0
0
16
8
0
0
4
4
4
8
8
0
16
8
16
16
8
0
0
1
0
0
0
0
0
0
0
0
0
4
8
8
8
0
8
0
0
0
8
8
8
0
8
28
28
28
0
0
8
0
0
0
0
0
0
0
0
8
8
8
2
1
0
0
0
0
25
10
10
0
0
0
0
0
0
16
8
0
0
0
8
8
0
8
8
1
16
0
0
0
0
0
0
0
24
8
8
8
0
0
0
0
0
8
8
8
28
16
0
0
0
16
16
16
2
8
0
18
18
8
8
1
0
0
8
8
0
0
0
0
0
15
0
8
8
0
8
8
8
51
51
4
8
0
0
0
0
4
4
8
8
0
16
16
16
0
0
1
0
0
0
0
8
8
2
0
6
0
0
0
0
0
0
8
0
8
8
0
16
8
8
1
1
16
0
8
0
0
0
0
8
1
1
4
0
32
32
0
8
0
0
0
0
0
2
0
0
0
0
22
16
0
0
0
0
0
16
16
8
8
2
2
0
0
16
2
2
8
8
28
28
2
0
16
0
8
0
8
8
0
0
8
8
56
0
0
0
16
0
0
0
8
12
0
0
0
0
8
8
16
16
0
16
0
16
0
0
0
0
16
16
16
12
0
30
30
30
30
8
8
12
0
1
0
26
0
0
0
0
0
0
0
0
0
16
1
2
0
0
0
0
0
8
8
0
0
0
0
0
32
1
8
8
8
8
8
1
0
0
0
0
0
0
0
48
16
0
0
8
8
8
4
0
16
0
0
8
20
16
4
4
12
12
4
8
0
6
8
8
8
16
4
0
0
8
0
0
0
0
0
0
0
2
8
0
1
24
16
16
16
16
0
1
0
4
0
8
0
0
0
0
0
0
8
8
0
0
8
8
13
8
0
0
0
0
0
0
0
0
8
8
8
8
24
0
0
4
4
0
0
8
8
0
16
0
0
0
4
4
0
8
20
8
8
0
1
16
0
8
0
0
0
0
0
0
0
0
16
16
0
0
0
16
1
0
8
1
8
8
0
0
0
1
0
0
8
8
0
20
0
0
0
0
0
0
0
0
8
16
16
16
0
0
0
0
0
40
0
0
0
1
1
1
8
0
0
0
0
0
0
16
16
16
16
24
0
0
0
0
0
0
0
0
0
0
0
1
1
1
4
2
2
16
0
0
0
0
8
8
0
0
0
0
0
0
2
0
0
4
16
16
8
0
8
8
0
0
0
0
0
0
0
2
8
8
8
8
0
0
0
0
4
8
8
8
0
0
20
20
8
8
0
8
8
4
0
18
18
18
8
8
8
0
16
28
0
18
18
8
0
0
4
4
0
8
8
4
8
0
8
1
0
16
16
0
0
0
0
8
0
0
0
24
16
0
16
16
16
0
0
17
4
4
4
0
0
0
0
0
8
8
0
0
0
8
16
2
0
0
4
3
0
16
16
2
2
2
0
17
1
1
8
8
2
2
2
2
0
16
0
0
1
1
1
8
8
8
0
0
0
0
0
2
0
0
0
8
8
8
4
4
16
4
0
0
8
8
0
16
16
0
1
1
0
0
24
16
0
16
8
8
8
8
0
0
0
49
49
17
4
0
20
20
1
1
0
0
8
16
8
8
6
8
8
16
8
0
9
0
0
0
16
25
2
3
0
0
20
0
8
8
8
48
0
0
0
8
8
9
0
0
0
0
0
0
8
0
16
24
24
8
12
12
0
0
0
0
0
16
0
0
22
8
8
0
2
8
8
8
8
0
0
0
20
0
33
5
5
4
0
0
0
0
0
16
16
16
16
0
0
2
4
0
0
25
25
4
8
8
0
4
4
0
1
0
0
0
0
0
0
8
0
0
0
0
8
8
8
8
0
0
8
0
0
0
0
2
1
0
8
0
1
8
0
0
0
0
0
0
1
1
13
0
0
0
0
4
28
0
0
0
0
9
9
40
0
8
8
0
0
0
0
8
0
0
0
0
0
0
16
0
0
28
16
16
16
8
1
1
0
4
0
0
0
0
16
16
16
20
16
4
1
0
2
2
2
8
0
0
8
8
0
0
16
16
16
0
0
2
1
35
0
8
8
8
8
4
4
4
0
0
0
0
0
0
0
0
0
0
24
16
16
0
0
0
8
16
0
11
11
0
0
0
8
0
0
0
0
0
0
8
0
4
24
16
8
8
0
0
8
8
8
8
16
16
16
16
0
4
4
0
10
24
0
4
4
8
0
0
4
20
0
8
0
0
1
16
0
8
8
1
1
16
0
0
1
4
4
0
0
0
2
26
0
0
8
16
0
0
0
24
16
16
8
24
8
0
8
0
0
0
0
0
33
8
8
0
16
0
0
0
0
0
0
4
4
0
0
16
0
0
0
0
0
8
8
8
0
0
0
24
8
8
1
1
0
0
0
0
0
0
0
0
16
4
24
8
0
0
16
8
16
16
16
0
0
4
12
12
4
0
8
16
8
8
4
2
17
0
16
16
16
0
8
0
0
2
4
16
0
0
16
0
8
8
0
0
0
0
0
0
0
8
0
20
20
0
0
0
1
0
8
0
8
8
0
0
10
2
0
0
0
0
16
16
4
0
8
8
8
8
0
0
0
8
0
17
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
2
2
0
8
8
8
8
16
0
0
4
8
0
8
8
8
5
0
2
16
0
2
4
4
0
0
8
0
8
8
16
16
0
0
0
8
4
0
0
0
0
0
4
4
16
16
0
18
16
16
0
8
8
8
8
8
8
8
32
0
8
0
8
20
0
8
22
0
8
8
8
0
0
16
0
16
1
1
8
0
0
8
20
12
40
0
0
0
0
0
0
2
8
8
40
16
8
0
0
0
10
16
16
16
8
0
0
18
4
4
0
8
8
8
0
0
0
0
0
0
0
0
21
21
0
17
17
17
17
0
0
0
8
16
0
0
16
0
0
16
1
1
16
0
0
0
8
0
20
16
16
16
8
8
0
20
20
0
16
0
16
16
1
4
4
8
1
1
0
0
0
8
0
26
0
1
0
0
22
22
22
4
4
4
0
0
0
16
0
0
0
0
0
0
8
8
0
2
2
0
0
0
0
1
1
0
1
8
0
0
2
1
0
0
24
0
0
0
0
8
0
8
0
0
0
0
16
0
2
16
16
16
0
8
3
2
8
8
1
16
28
8
16
8
0
0
32
0
0
8
8
8
2
2
2
2
0
0
8
0
0
0
16
8
0
0
0
0
8
8
8
8
8
8
0
0
9
0
8
8
2
16
0
0
0
0
8
0
0
8
8
8
8
10
4
2
1
8
0
0
0
0
0
0
8
0
0
8
0
0
1
2
8
16
2
8
0
8
4
16
16
16
1
4
0
0
24
16
2
8
20
0
0
8
0
0
8
2
0
0
10
16
16
8
0
4
0
0
0
2
8
4
1
1
1
0
16
16
0
0
16
8
0
0
16
8
0
32
18
18
18
16
16
16
8
24
24
24
8
8
0
4
16
24
0
8
8
0
0
0
24
0
16
16
16
8
8
4
8
8
8
16
8
4
0
48
0
0
6
8
8
15
15
0
0
8
20
8
16
0
0
0
0
8
17
0
16
0
0
8
0
0
0
0
16
8
8
0
0
0
0
0
0
8
16
16
0
32
0
16
16
0
0
0
0
0
0
8
8
0
40
0
16
0
0
8
8
0
48
8
8
0
20
8
16
17
16
0
8
0
0
0
8
0
0
8
8
18
0
0
8
16
0
0
12
0
8
8
0
0
1
0
20
0
4
12
8
8
8
8
0
0
0
4
0
0
0
4
16
16
16
0
16
16
16
16
16
16
16
8
4
4
4
4
0
10
0
8
8
8
8
0
0
8
8
8
0
0
9
0
0
0
0
20
0
1
0
0
0
0
0
0
0
8
8
8
0
0
0
8
8
0
0
2
2
8
16
0
1
0
4
0
0
0
0
0
32
32
32
2
16
16
16
8
8
8
0
8
2
8
0
0
0
16
8
8
8
0
0
0
4
4
0
0
17
0
0
0
8
24
0
0
0
16
16
26
16
16
8
0
0
0
0
4
8
8
8
8
0
16
8
8
0
16
16
6
8
0
0
0
0
0
1
0
4
0
8
8
0
0
48
0
0
0
5
0
0
0
0
4
2
0
0
0
16
16
16
4
8
0
0
0
0
16
0
8
8
8
8
8
8
0
16
32
0
8
8
52
16
0
4
8
8
8
8
0
0
0
0
0
20
0
0
2
2
2
0
0
4
16
16
16
0
8
0
0
16
16
0
0
8
25
25
25
16
1
0
24
8
8
8
8
0
16
0
8
8
8
0
16
18
0
0
0
28
32
0
8
8
8
8
8
8
4
8
8
0
0
0
0
8
8
0
0
0
0
0
0
8
8
0
4
8
8
8
16
0
0
6
8
8
8
0
8
0
8
8
0
0
0
16
1
0
0
0
16
1
46
0
8
8
8
16
0
0
0
0
0
4
0
8
8
17
17
17
17
8
8
0
0
0
0
0
0
32
32
32
32
0
0
8
0
8
0
8
0
0
0
0
40
40
40
16
16
0
32
8
8
0
0
0
8
8
8
0
0
0
8
2
2
8
32
32
2
2
16
8
0
8
8
8
0
0
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
1
1
20
8
0
0
16
0
0
0
1
8
0
8
0
0
0
0
1
0
0
1
1
0
0
0
0
0
16
0
0
0
0
0
8
0
0
0
28
8
8
8
8
8
0
0
0
0
8
0
0
8
0
0
1
1
0
0
0
8
8
8
8
2
8
8
1
0
0
20
16
0
1
25
25
4
4
8
8
24
0
0
0
0
0
0
0
16
16
0
0
8
0
1
1
0
20
16
8
8
8
8
8
0
0
0
16
8
8
0
0
1
0
8
0
4
4
8
2
8
8
0
16
16
8
8
0
0
0
0
17
0
0
0
0
0
0
0
16
0
0
4
4
24
0
0
0
2
8
0
0
0
1
0
0
0
2
32
0
0
0
0
8
0
0
0
0
16
16
0
0
0
8
1
16
0
0
0
0
0
8
8
0
0
8
4
4
0
1
1
1
8
0
8
32
0
0
0
0
0
0
0
8
8
8
0
8
0
0
0
8
2
4
4
4
0
0
16
11
11
40
0
2
16
16
16
16
0
8
0
0
0
0
8
8
16
0
4
4
16
16
0
0
0
0
0
4
16
0
0
8
4
0
8
8
0
8
8
8
8
8
8
0
0
0
1
0
0
0
0
0
8
6
4
0
0
0
0
2
2
0
8
8
8
16
0
0
16
16
16
8
8
8
8
29
29
29
16
8
8
0
8
8
8
0
8
16
16
0
0
0
24
1
0
16
0
8
8
0
0
0
0
0
8
0
8
8
16
16
0
0
0
0
8
1
0
2
2
16
0
0
0
0
0
0
0
16
16
0
12
16
16
18
16
16
16
8
8
12
0
0
0
0
0
0
16
16
16
8
0
0
0
0
0
8
0
8
0
8
0
0
0
4
0
8
8
8
8
0
0
0
0
16
32
32
32
0
0
4
0
0
0
0
0
0
16
16
16
8
0
0
8
0
0
0
0
8
0
16
16
28
0
9
10
8
0
0
0
8
4
0
0
24
24
9
16
8
32
4
4
0
0
0
8
8
8
32
32
32
8
0
8
0
0
0
0
16
8
24
24
1
1
0
0
0
0
1
8
2
17
0
0
0
0
0
0
16
16
18
8
8
8
16
0
1
8
4
8
1
0
24
20
8
8
8
8
16
4
0
0
8
8
8
8
0
0
0
20
0
0
0
0
0
0
0
0
0
0
0
0
4
8
8
8
8
8
4
8
8
8
0
0
16
0
0
0
0
0
16
0
13
13
12
0
16
8
8
0
0
0
24
0
8
6
22
6
2
0
4
4
4
4
4
4
16
0
0
0
16
4
0
8
8
0
1
0
0
0
0
16
16
0
8
0
0
0
16
8
8
8
16
0
16
16
0
8
8
8
8
8
16
4
0
4
4
8
0
0
0
16
16
16
8
8
8
40
0
0
0
0
16
0
0
0
0
0
0
24
0
0
0
1
16
16
8
0
0
18
4
4
0
0
8
16
16
16
0
16
0
16
16
16
0
0
0
0
2
2
8
0
8
1
4
16
16
0
8
0
0
0
0
4
0
8
0
17
0
16
8
16
2
1
1
1
0
2
2
2
0
0
0
4
8
8
8
0
0
0
4
0
0
4
8
4
0
16
0
0
0
0
16
16
16
0
0
6
6
0
19
8
8
0
0
16
1
0
1
1
16
24
1
1
1
1
0
8
0
0
32
32
16
1
24
4
0
4
0
0
0
0
0
0
0
24
24
16
0
0
0
32
48
32
28
4
4
4
16
16
8
8
0
0
0
16
16
2
0
16
0
0
16
16
0
0
0
0
8
8
8
0
0
6
8
8
8
0
8
8
16
16
16
2
2
0
0
0
0
0
0
0
0
24
0
0
0
0
4
4
8
8
1
0
0
32
8
0
0
0
16
16
16
0
0
0
4
0
0
0
16
0
0
0
0
0
4
16
16
0
8
6
0
0
16
16
16
8
0
0
16
16
16
4
0
0
0
10
10
10
11
0
0
0
0
0
0
0
0
0
6
0
0
0
20
0
16
2
2
0
1
1
0
6
0
8
8
8
4
4
40
16
16
8
8
8
8
8
0
16
16
8
8
20
14
0
0
8
0
0
8
4
4
8
0
0
17
0
0
16
16
0
0
0
0
0
0
8
16
8
0
0
0
17
16
9
9
8
8
8
0
8
8
8
8
4
0
8
24
24
16
0
0
0
0
0
0
0
0
0
4
0
0
8
8
8
8
1
1
0
0
0
0
8
8
0
8
1
2
32
16
0
0
8
9
0
0
0
0
0
0
0
0
4
0
0
0
0
0
8
1
0
0
0
0
0
0
0
0
0
8
0
52
0
0
8
8
16
0
16
16
0
0
0
8
2
0
8
8
0
0
16
20
20
0
0
0
0
0
5
4
1
1
58
58
0
0
0
0
0
18
0
24
0
0
0
0
0
0
0
0
0
0
0
0
9
8
1
0
0
0
16
0
16
8
0
4
16
0
8
12
1
8
8
8
16
8
8
10
0
2
16
16
16
16
1
0
0
8
2
2
2
0
0
4
0
0
8
8
8
0
0
8
0
8
1
0
20
16
4
0
0
0
0
0
0
4
0
0
24
0
8
0
1
0
0
0
0
16
16
0
16
16
20
0
4
5
1
16
0
8
0
16
16
16
6
16
16
0
16
0
8
8
0
0
0
0
8
8
8
0
0
0
0
0
8
8
0
4
0
0
0
0
8
8
0
17
17
25
0
1
8
41
8
0
8
0
0
0
0
8
0
16
0
0
4
0
8
16
16
8
0
0
0
0
0
2
0
8
16
8
8
16
8
0
8
8
8
0
0
16
8
8
8
8
0
8
0
0
4
4
0
0
16
16
16
0
0
2
2
4
4
4
0
8
8
8
0
8
0
0
8
8
16
8
16
16
16
29
0
8
0
0
8
8
0
0
0
16
16
1
0
0
0
0
0
17
0
4
0
0
0
0
0
18
0
0
0
16
0
0
24
24
0
0
4
0
0
0
0
0
20
0
0
2
2
0
0
0
0
8
0
0
0
28
8
8
4
16
16
0
0
4
2
32
0
0
4
8
2
8
0
1
1
4
0
0
0
0
2
2
16
2
0
32
16
16
8
0
0
0
0
20
20
16
0
0
16
16
2
0
0
0
0
1
1
1
0
0
16
16
0
4
8
0
0
0
0
24
0
8
0
0
1
1
24
24
24
11
0
0
10
16
4
4
4
16
0
0
0
16
0
0
0
0
0
0
16
16
16
16
0
0
17
4
24
8
0
0
8
16
0
0
0
8
0
20
0
16
0
0
0
0
8
8
1
1
16
16
4
4
16
16
16
16
16
8
0
8
8
16
16
16
0
0
8
8
28
6
4
16
8
4
4
8
8
0
0
8
0
2
0
0
0
0
1
0
0
0
0
0
0
0
0
8
16
16
8
0
8
16
16
8
4
4
0
8
0
8
8
8
8
4
8
8
8
0
0
0
8
14
1
0
0
18
16
16
4
8
17
1
0
0
0
0
0
0
0
53
0
0
5
5
7
5
0
2
10
10
2
8
16
32
32
16
0
1
1
4
16
22
8
1
0
0
0
1
4
8
0
0
0
0
0
0
0
0
0
16
0
16
8
1
16
0
0
0
0
1
17
0
24
8
8
1
1
2
2
18
18
18
18
18
18
18
8
8
8
0
0
16
16
16
16
12
8
4
4
16
16
16
16
0
0
8
4
8
32
32
0
0
0
8
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
16
16
16
16
1
0
6
6
0
8
8
8
0
48
0
8
8
2
16
16
16
16
8
0
16
16
16
17
8
2
0
0
0
0
16
16
16
8
0
0
4
4
0
8
8
16
0
22
2
2
16
1
33
1
0
16
16
16
16
16
16
16
16
0
0
2
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
16
0
16
16
0
0
0
0
0
0
0
0
8
0
0
5
5
16
0
0
8
25
8
8
2
8
8
2
4
4
4
0
8
8
1
1
8
8
16
16
8
8
4
8
0
0
8
8
8
16
0
18
0
0
16
16
2
1
1
1
1
0
2
8
8
0
0
0
2
8
1
8
8
8
16
8
0
0
16
20
20
0
16
16
16
8
0
16
0
8
8
0
0
0
0
0
8
1
9
16
2
8
8
8
16
0
0
0
9
9
9
0
0
0
8
0
0
0
0
0
8
8
8
8
8
0
0
8
8
8
8
6
6
16
16
4
0
4
0
8
0
4
4
0
1
1
1
1
0
20
20
1
8
4
0
0
0
0
0
4
0
0
0
16
8
8
0
0
0
0
8
8
8
8
8
8
8
12
0
0
0
24
0
16
16
0
32
0
0
0
0
0
0
0
4
4
0
0
0
1
1
0
8
2
24
24
0
24
0
0
0
2
2
2
1
1
2
0
0
2
16
0
0
0
16
16
0
1
1
0
0
0
0
0
0
2
2
2
8
8
8
16
16
16
16
16
8
16
4
4
1
1
16
0
20
8
0
0
8
1
1
18
0
0
0
0
17
8
0
4
4
0
16
24
0
8
8
8
0
16
6
1
24
0
1
1
1
16
8
0
16
16
19
0
0
0
0
0
16
0
0
8
8
16
16
0
1
2
2
8
8
8
8
12
0
10
2
0
2
8
8
0
8
8
8
0
0
0
0
16
25
1
0
8
12
0
16
0
2
4
16
16
0
0
0
16
16
16
16
8
16
0
16
16
16
16
2
0
0
8
8
8
0
16
8
1
0
0
16
8
0
0
0
0
2
8
8
0
1
8
8
8
8
0
0
8
8
17
8
16
8
8
0
8
0
0
0
17
0
0
0
8
8
8
17
0
4
8
8
8
8
0
0
0
0
0
0
0
16
0
0
32
0
8
8
2
2
8
0
0
8
0
0
8
8
0
16
4
4
8
0
16
16
8
2
10
2
16
0
0
0
0
0
0
24
16
16
16
16
8
2
0
0
0
16
16
0
0
58
58
58
0
8
8
8
8
8
8
2
2
0
8
8
8
8
26
62
8
0
0
0
0
0
8
8
8
1
8
0
8
0
49
8
12
8
8
0
0
0
2
0
32
32
0
0
8
8
0
0
0
8
8
8
0
4
24
24
24
24
0
2
2
8
8
19
0
16
0
4
0
16
8
4
4
0
2
8
8
8
8
8
0
16
0
8
17
24
24
0
8
8
10
8
8
0
2
8
0
4
4
0
16
16
16
16
16
24
16
0
0
8
8
8
2
2
8
2
2
16
0
0
32
40
24
24
8
0
0
0
12
12
12
12
0
0
0
0
0
0
9
16
8
8
8
8
8
16
8
0
8
0
0
16
16
8
0
0
0
0
4
0
1
0
0
0
0
0
8
8
8
8
16
0
0
32
32
0
0
0
0
8
0
8
8
16
10
0
8
0
0
16
16
16
16
20
0
0
0
16
16
16
8
8
0
2
2
8
0
0
1
0
0
1
1
8
40
40
8
8
8
8
8
16
8
1
1
0
16
4
4
4
2
17
16
8
0
8
16
17
4
4
4
0
0
0
0
5
5
5
0
8
4
8
16
0
8
8
8
8
8
8
5
8
0
0
0
4
4
4
0
16
20
4
5
5
5
5
16
16
8
0
0
16
16
16
16
20
20
32
32
32
32
32
4
0
0
0
0
8
0
0
0
8
8
0
8
8
10
8
8
8
8
8
0
0
0
0
16
0
2
0
0
8
16
9
0
0
4
0
8
12
0
0
0
0
0
8
8
8
8
8
0
18
18
4
4
4
0
0
8
8
8
8
8
8
8
0
8
16
0
16
0
0
0
8
8
8
1
8
8
0
0
0
1
26
0
0
0
0
0
18
8
8
24
0
2
8
1
0
0
8
0
0
8
8
0
0
0
2
2
2
0
0
0
8
8
0
20
24
24
24
0
0
8
25
16
0
1
0
0
24
0
16
16
16
16
16
16
8
0
0
0
0
0
8
8
2
2
2
2
2
2
2
2
2
8
8
0
0
0
0
0
0
0
0
8
16
16
16
16
16
16
16
16
16
6
8
0
4
8
16
0
0
0
16
8
8
0
0
16
16
16
1
1
0
0
16
16
16
16
16
0
0
0
0
0
0
4
4
24
24
8
8
8
0
8
0
16
0
8
32
20
4
8
0
0
0
4
1
21
0
0
8
8
4
4
16
12
24
24
12
0
2
18
0
0
0
0
8
0
0
2
2
16
0
4
4
0
0
8
0
8
16
0
0
0
8
2
0
0
0
0
0
24
24
4
0
0
0
16
0
8
8
0
0
38
24
8
0
0
8
16
0
0
8
16
16
20
16
16
0
0
16
0
8
8
4
4
0
8
0
0
0
8
8
8
0
1
1
24
24
8
8
8
8
1
1
0
0
18
8
8
12
0
0
8
8
1
1
4
16
10
16
8
2
0
4
8
12
8
0
4
4
4
0
0
8
61
44
17
0
0
16
8
8
8
8
2
16
8
8
8
0
0
8
8
4
4
4
4
16
32
32
0
0
0
0
32
50
50
0
16
40
40
8
8
8
8
1
1
8
8
8
8
8
0
0
0
8
1
8
0
0
16
0
16
16
16
2
8
17
1
8
8
8
0
0
8
8
8
8
8
2
2
8
8
4
16
16
32
32
32
32
32
0
0
0
42
20
1
32
0
16
0
16
16
16
2
4
16
0
0
0
4
20
4
8
16
16
8
8
16
16
16
8
0
0
8
0
0
0
8
8
8
8
8
0
0
4
4
25
8
12
0
0
0
0
0
0
12
0
32
32
0
0
0
8
8
8
8
2
1
56
0
0
0
8
8
16
8
8
8
8
8
0
16
4
8
4
4
0
0
0
16
16
16
4
28
20
4
4
0
0
0
0
1
1
1
4
8
8
0
4
0
8
16
0
8
0
0
0
0
24
24
24
8
24
0
0
0
4
16
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
0
8
8
0
0
0
8
8
8
24
24
24
0
0
0
8
18
18
16
0
8
8
8
8
8
16
0
0
0
16
16
0
0
0
8
0
0
0
0
0
50
24
0
0
0
1
1
0
8
8
8
16
8
8
24
24
16
16
16
8
0
0
4
0
0
0
10
2
8
0
0
0
16
0
0
0
8
8
0
0
0
4
8
0
0
0
4
8
24
16
16
8
0
4
4
0
0
4
20
16
16
0
0
0
0
1
1
8
8
0
40
12
0
0
34
0
4
4
8
0
0
16
16
16
16
16
1
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
16
1
8
8
8
8
0
24
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
8
24
39
8
0
0
0
0
4
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
4
4
8
0
0
16
16
0
0
0
2
16
16
16
18
18
8
0
16
16
0
0
0
0
2
2
2
0
1
0
4
19
19
0
24
8
8
8
12
0
0
16
16
16
0
0
0
0
0
0
0
0
0
0
0
5
16
8
16
16
16
2
0
1
0
9
8
8
8
8
16
4
4
4
16
0
24
0
9
9
9
16
24
8
0
0
0
0
1
0
4
4
36
4
0
8
0
16
2
0
8
8
8
8
8
8
8
8
8
8
3
3
8
8
8
0
16
0
4
4
0
16
16
16
16
16
0
0
0
0
1
24
24
24
8
16
16
8
8
8
8
0
0
0
0
0
16
0
5
4
4
2
8
8
8
17
0
0
0
2
18
2
13
13
8
16
16
16
2
2
0
0
16
16
16
8
8
0
0
3
3
0
8
0
8
32
8
8
8
8
8
4
4
2
0
8
0
4
4
8
8
0
0
1
2
2
2
0
8
25
20
1
1
0
16
16
16
16
16
4
4
16
8
0
16
0
0
0
16
16
16
16
16
1
1
16
16
0
0
8
8
24
8
8
0
4
0
16
0
0
16
16
0
14
0
8
0
0
0
0
0
16
16
16
16
48
0
0
0
16
4
0
20
0
4
0
0
2
8
0
0
0
0
16
0
8
8
4
0
2
8
8
16
16
24
0
0
0
0
8
8
8
16
2
0
8
16
16
0
0
0
0
8
4
0
0
0
0
0
16
0
2
2
2
2
24
8
24
24
0
0
0
0
4
0
16
16
20
20
0
1
16
16
28
24
8
4
4
20
4
4
4
4
4
4
4
4
4
0
0
0
0
17
0
16
0
0
8
2
8
4
8
0
8
0
32
2
4
4
0
0
0
0
0
16
8
8
8
0
0
0
8
0
0
8
2
0
0
8
4
6
8
8
8
0
0
49
0
0
8
6
8
0
0
8
0
8
0
16
0
0
2
2
2
8
2
2
0
4
16
16
16
4
0
0
0
0
1
8
0
0
8
8
8
0
0
0
0
0
28
8
8
8
16
0
0
0
16
16
16
0
0
0
0
0
4
0
0
1
1
16
8
0
0
17
0
1
8
21
8
16
16
16
16
16
0
0
0
0
0
8
2
2
0
16
16
16
1
16
16
0
0
8
0
0
1
37
45
24
24
8
0
2
8
8
29
0
8
8
8
8
4
8
4
4
20
8
8
8
8
2
2
8
8
16
16
0
0
8
8
8
8
0
0
12
0
0
0
0
1
1
6
0
0
0
0
0
0
8
8
8
8
8
8
8
24
0
0
2
1
8
24
0
1
16
0
0
4
8
0
24
24
0
2
0
0
4
0
4
4
0
4
8
4
0
8
1
4
0
0
0
8
0
0
0
16
2
0
8
8
8
0
4
0
0
8
8
0
8
17
0
0
8
8
8
0
4
8
0
0
0
0
0
0
0
12
12
12
0
32
32
0
0
0
0
0
8
4
4
16
0
0
0
24
24
16
0
4
6
8
8
8
1
1
0
0
0
0
16
2
0
16
0
0
0
16
0
0
0
8
16
8
8
0
0
8
16
16
16
0
40
8
0
16
26
26
44
8
0
0
8
4
8
8
32
19
8
8
32
8
0
0
8
8
8
8
8
0
16
16
16
16
16
16
16
8
8
0
0
8
0
0
0
16
0
0
4
8
8
16
4
0
0
0
0
8
8
8
8
0
0
0
0
0
0
0
2
2
8
8
32
32
8
8
1
9
16
24
1
16
1
1
24
0
1
0
8
16
16
16
16
16
24
0
16
0
16
16
16
16
0
0
16
0
0
8
24
8
0
0
0
1
0
8
8
8
8
16
4
8
8
8
16
8
8
8
16
8
0
16
16
21
16
16
4
16
16
8
8
8
16
16
16
8
8
0
0
0
16
0
0
0
8
8
4
0
8
0
0
16
24
16
4
1
2
2
3
3
28
0
8
2
2
2
16
8
8
0
0
4
4
8
0
8
8
8
4
4
8
0
0
0
0
0
0
0
8
16
8
24
0
0
0
8
0
0
8
8
8
0
0
0
2
2
20
8
1
16
16
16
16
16
0
24
24
0
4
17
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
8
8
2
0
0
23
8
8
0
0
4
6
6
4
4
0
0
0
0
8
8
8
16
28
8
8
8
0
0
8
17
17
1
56
18
18
2
2
0
36
32
32
32
8
8
16
0
0
24
16
16
8
40
0
0
29
0
2
16
8
2
2
26
0
16
2
2
4
24
0
16
16
4
0
2
26
0
18
0
0
8
8
8
2
2
8
8
0
0
0
0
0
0
0
0
0
8
8
0
0
16
8
8
8
16
16
0
0
0
0
8
8
16
0
12
0
0
0
0
0
18
1
4
16
4
0
0
16
0
8
0
16
0
0
2
2
0
0
0
0
0
0
4
16
17
17
24
0
8
8
0
0
0
0
4
12
0
8
16
16
2
2
0
16
0
2
0
0
0
0
0
16
31
0
0
16
40
32
16
8
1
8
8
8
8
8
8
0
0
24
24
24
8
8
16
8
8
0
0
0
0
4
8
8
17
17
17
2
2
16
16
4
4
4
0
8
8
0
8
9
1
16
8
8
0
0
0
8
6
8
0
0
0
0
8
0
8
2
4
0
24
0
0
1
1
1
0
0
0
0
8
0
2
2
2
0
16
8
52
0
8
8
0
0
0
0
8
8
4
0
2
8
8
0
0
8
0
0
0
0
0
0
1
16
0
0
0
0
16
0
0
0
16
16
0
0
8
0
0
0
0
8
8
0
0
0
0
0
0
4
16
8
8
8
8
0
8
8
0
1
24
0
0
0
0
16
9
9
9
9
9
9
9
9
16
24
24
24
24
24
0
8
0
8
8
4
4
8
8
0
4
16
0
0
0
16
24
16
16
0
1
0
0
0
1
1
8
8
8
0
8
8
8
8
8
24
24
8
8
0
8
8
16
16
16
16
16
8
16
16
24
24
0
8
0
0
0
0
8
8
8
0
0
8
8
4
0
0
0
24
1
0
8
0
2
8
8
8
0
0
0
8
16
16
8
0
0
0
8
8
8
2
2
2
0
0
0
1
0
0
0
0
8
8
8
17
8
16
4
4
1
1
0
0
0
28
0
8
8
8
8
8
8
8
8
16
16
20
20
0
0
6
0
8
0
0
0
0
0
0
0
1
1
16
0
4
4
4
0
8
0
0
8
8
4
8
8
8
8
0
8
16
16
12
8
1
11
16
0
8
8
9
8
8
8
8
0
16
16
24
8
0
24
24
16
16
16
0
0
4
4
4
0
0
0
0
1
1
8
8
18
18
8
8
8
8
24
0
8
8
8
8
0
32
32
32
24
16
8
8
0
4
4
4
8
16
16
16
16
16
16
12
8
8
0
0
0
0
0
24
8
3
0
32
8
16
16
32
17
4
8
4
4
16
16
17
8
0
0
0
0
16
16
8
8
0
8
0
16
16
16
16
16
16
16
8
16
16
46
8
8
8
16
24
16
2
2
1
1
0
0
24
2
2
20
8
0
0
8
8
34
43
8
8
16
16
16
0
0
0
8
8
8
8
8
8
0
24
0
8
8
8
16
16
0
8
8
4
4
8
4
4
16
0
0
0
0
0
0
0
8
0
0
0
8
0
0
0
0
0
0
0
4
4
4
4
4
4
4
4
4
4
4
4
0
12
0
8
8
8
8
0
8
0
0
0
16
16
1
1
24
48
16
16
16
16
16
16
0
0
0
0
0
0
4
0
0
20
17
17
0
8
8
8
8
8
0
24
0
0
0
2
2
2
2
0
4
0
0
1
8
8
8
8
0
0
0
0
0
0
0
0
16
16
24
0
0
0
0
11
0
0
8
8
8
0
0
0
0
0
0
0
24
18
2
2
2
2
21
21
2
2
17
17
4
12
48
8
4
0
16
20
20
63
0
0
8
8
8
8
0
16
1
8
0
0
0
0
0
16
8
0
0
0
0
0
0
0
0
0
6
6
8
8
8
8
8
0
0
8
8
8
0
2
8
8
8
8
4
4
8
8
0
0
4
16
0
0
0
0
0
8
8
16
1
0
16
0
8
8
16
0
8
24
8
0
8
8
8
8
8
0
0
16
0
0
0
0
28
28
28
0
0
0
0
0
0
0
0
0
0
8
4
4
1
0
4
4
2
2
8
8
8
8
18
18
18
18
18
2
0
0
0
0
53
16
16
16
4
4
4
4
4
4
4
4
0
16
16
16
16
16
4
0
16
16
8
8
1
1
1
1
16
0
1
1
11
16
16
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
32
0
16
0
0
8
8
8
0
0
0
1
1
16
16
16
0
0
0
16
0
0
0
0
0
16
0
16
0
0
0
0
0
0
8
0
4
0
8
8
8
16
8
0
0
2
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
2
0
0
16
24
16
24
0
0
0
0
16
16
8
12
0
1
0
1
0
1
0
0
0
8
8
8
56
56
56
0
0
24
24
16
4
4
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
8
0
0
0
0
0
0
16
0
4
4
4
8
4
0
8
8
8
8
0
0
8
0
0
0
0
9
0
0
0
0
0
22
0
0
0
0
0
0
8
0
0
0
2
2
0
16
0
16
8
16
20
0
12
0
8
0
0
16
0
0
0
0
8
0
0
16
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
5
0
24
16
16
0
16
8
0
0
16
0
0
0
8
0
0
0
18
0
1
0
0
0
0
0
0
16
0
0
0
0
1
0
0
24
0
0
8
0
0
1
0
2
0
0
0
0
8
8
0
0
0
0
0
4
16
0
0
0
0
0
0
0
0
4
4
4
4
4
4
0
0
0
16
0
0
0
0
0
0
0
0
0
0
8
8
8
8
0
0
0
8
0
0
8
0
16
4
4
0
0
0
0
0
0
0
0
0
0
0
22
22
22
0
0
2
2
0
0
52
52
52
52
0
0
0
0
0
0
0
0
0
4
2
0
29
0
0
0
0
0
0
0
4
0
0
0
0
0
16
0
0
16
0
0
0
16
2
0
1
1
1
0
0
0
2
8
0
0
0
0
2
0
0
0
0
0
0
0
0
0
16
16
16
0
16
8
0
4
4
4
1
0
16
0
4
0
0
4
0
0
8
0
0
0
0
0
0
8
8
8
8
8
0
16
0
0
1
1
0
0
0
0
0
0
0
8
8
8
8
0
16
16
0
0
0
0
8
8
8
0
8
8
0
0
0
0
0
0
0
0
0
8
8
8
2
8
32
8
0
0
0
0
0
0
4
2
0
0
2
0
0
0
32
12
17
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
16
16
4
4
4
8
8
8
8
8
38
38
2
0
0
0
0
0
9
0
0
0
0
48
0
0
0
0
0
0
0
16
16
0
16
12
12
0
0
0
0
4
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
14
0
0
8
8
0
0
0
0
16
16
18
0
0
0
0
0
0
0
0
16
0
0
0
0
0
8
8
8
8
25
25
25
8
24
0
0
0
0
0
0
0
0
0
2
0
0
8
1
0
0
0
0
0
0
0
8
0
16
16
16
28
0
0
0
32
0
0
2
3
16
0
0
0
0
0
0
0
30
8
21
21
0
0
0
0
8
16
0
0
0
4
4
0
0
0
0
0
0
0
0
0
0
1
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
12
1
1
1
8
0
0
0
0
0
0
0
0
16
0
36
4
4
0
0
8
8
8
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
16
50
6
0
0
4
4
8
8
0
8
8
8
8
32
1
20
0
0
0
8
0
16
16
0
0
32
0
0
0
0
8
8
8
16
0
0
0
4
9
0
0
0
0
0
0
0
0
0
0
0
20
20
0
32
0
0
0
0
0
0
4
4
4
0
8
8
20
24
0
8
16
16
16
8
8
9
8
8
0
0
0
0
0
0
0
4
12
4
1
1
1
8
8
8
0
0
16
0
0
0
4
4
0
0
0
0
0
1
0
8
0
0
24
0
18
16
16
16
2
2
0
0
0
0
0
0
0
0
0
16
16
16
9
16
20
20
0
4
4
12
0
0
0
8
8
8
1
2
2
16
0
8
0
0
0
0
0
0
0
0
0
4
40
0
0
0
0
0
0
0
0
0
0
0
0
0
0
25
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
8
0
2
8
8
18
18
18
0
0
0
16
0
0
0
0
0
8
8
8
8
0
6
2
0
0
2
16
16
0
28
28
8
0
0
0
0
8
8
8
0
0
0
0
8
8
8
0
0
0
0
0
0
33
0
0
0
8
0
0
0
0
0
0
0
8
8
8
0
8
8
0
16
16
4
0
0
16
0
0
8
0
0
0
4
8
16
16
0
0
0
0
17
17
8
0
0
0
0
16
16
0
0
0
0
16
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
4
0
6
18
0
0
0
0
1
0
0
0
0
0
0
0
16
0
0
0
16
16
0
0
0
0
32
32
0
0
0
0
0
0
30
18
2
0
0
0
0
0
0
0
0
0
0
16
0
6
4
2
0
0
5
16
2
0
0
0
0
0
0
0
0
8
10
8
8
8
8
0
0
0
0
0
0
8
8
8
0
8
25
0
0
1
1
1
0
0
0
0
0
0
0
8
8
16
16
16
16
0
0
0
0
0
8
17
0
0
0
8
40
7
0
7
4
0
0
17
17
0
0
0
8
8
12
20
4
16
0
0
8
0
0
0
0
0
0
20
20
2
0
4
1
1
1
0
0
0
0
0
1
32
0
0
0
4
0
0
0
0
1
0
8
8
0
0
0
0
4
4
12
0
2
2
16
0
0
0
0
0
0
16
0
0
0
0
16
8
5
5
0
8
8
0
0
0
0
0
8
0
0
0
32
0
0
0
1
8
4
32
32
8
8
1
1
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
24
24
24
8
8
0
0
0
0
0
8
8
8
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
16
32
32
0
0
0
0
0
8
0
16
0
0
0
16
0
0
0
16
16
16
0
0
0
0
8
0
16
9
0
0
0
16
16
16
0
0
0
0
4
4
4
0
8
0
0
8
0
8
0
16
16
16
2
2
0
0
0
0
28
0
0
0
0
0
0
0
0
0
0
0
0
4
0
16
0
0
0
0
0
0
0
0
18
4
0
0
16
16
16
20
20
0
0
8
8
8
0
0
0
0
0
0
16
16
0
0
0
0
8
0
0
0
0
16
16
32
0
0
0
0
0
0
0
0
0
16
0
0
0
16
16
16
16
16
0
0
16
24
4
0
0
0
0
0
16
0
0
0
0
4
0
0
10
8
8
8
8
8
0
0
0
0
8
8
1
1
4
8
24
16
0
0
0
12
12
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
8
0
0
0
0
1
16
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
16
0
0
1
0
8
0
0
0
0
4
0
0
0
0
0
0
0
0
4
0
0
4
0
8
0
0
0
8
8
8
8
8
8
0
0
16
16
4
8
8
8
0
0
8
0
9
8
13
0
8
8
0
2
2
0
8
8
8
8
8
16
0
0
0
0
0
0
0
4
4
8
8
8
0
0
0
1
16
0
0
0
4
4
0
8
8
16
0
2
8
8
0
0
0
0
4
4
4
4
0
0
4
0
0
0
8
16
2
0
0
8
0
0
1
0
0
0
2
8
0
8
0
4
4
4
0
0
4
4
32
0
16
0
1
2
16
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
8
4
4
0
0
0
0
0
8
0
0
0
8
8
8
8
0
0
0
2
2
0
8
20
20
20
2
2
0
0
0
0
0
0
0
0
0
16
16
0
20
1
16
4
0
16
16
16
16
0
0
2
2
0
2
0
8
14
0
0
0
8
0
2
16
16
0
0
16
8
0
36
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
16
0
0
0
0
1
0
0
0
0
0
0
0
0
0
16
16
16
16
0
0
16
16
16
0
0
20
16
16
16
16
16
16
0
0
22
0
0
0
0
8
16
0
0
0
0
0
0
1
0
0
32
0
0
20
0
0
0
0
0
0
0
0
0
0
0
1
0
0
8
8
0
0
0
0
0
20
20
20
0
4
4
8
8
8
8
0
0
4
4
0
16
16
0
8
0
0
8
0
0
24
0
8
8
0
4
0
0
8
0
17
0
0
0
0
24
1
1
1
1
1
1
1
1
0
0
8
8
0
0
0
0
37
0
0
0
0
0
17
17
17
2
2
0
0
53
37
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
17
0
0
0
0
8
0
0
0
0
4
0
0
0
0
0
0
24
0
0
0
0
0
0
0
8
1
6
0
0
0
0
0
0
0
0
2
0
0
8
8
0
0
2
24
0
0
0
4
4
0
0
8
8
0
0
0
16
16
16
0
0
0
0
0
0
0
0
0
16
0
2
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
8
0
0
0
2
0
16
16
0
8
0
0
0
0
0
0
16
8
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
8
8
8
8
0
0
0
17
17
0
0
0
20
20
20
2
0
0
0
0
16
16
16
0
0
0
0
0
0
0
2
0
0
2
2
8
8
18
18
0
0
35
0
0
25
0
1
1
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
18
24
24
0
0
8
8
9
9
0
0
1
16
0
1
16
0
16
16
33
33
33
0
0
0
0
8
0
16
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
2
16
8
8
0
16
4
0
0
4
8
8
0
0
0
0
0
2
2
0
16
16
0
0
0
0
24
8
0
0
0
0
0
0
0
0
16
0
0
0
16
16
46
46
0
0
0
0
0
8
8
5
4
0
20
0
0
16
0
0
0
33
0
0
0
0
16
16
8
0
8
0
0
0
0
0
0
16
16
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
4
4
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
20
12
4
0
0
0
0
2
0
0
8
8
8
16
0
0
0
0
0
0
8
0
0
0
16
0
8
0
0
0
0
0
4
4
0
0
0
0
1
0
0
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
16
1
16
0
0
0
17
24
8
8
0
2
6
0
0
0
0
8
0
0
0
0
4
0
0
0
12
16
16
0
0
0
8
0
0
8
16
8
8
0
0
0
8
0
0
0
0
34
4
4
4
0
16
16
16
0
0
2
0
0
0
0
0
0
0
4
0
0
0
0
6
0
0
0
0
0
0
16
16
8
0
0
0
0
0
0
0
0
0
4
0
0
0
16
16
0
0
8
0
0
0
0
20
20
8
0
0
0
0
0
0
16
16
0
0
0
0
8
8
0
16
16
0
4
16
1
1
0
0
0
0
0
0
0
16
8
8
0
0
23
0
0
0
8
0
8
0
0
0
0
16
0
0
0
0
0
8
8
0
0
4
0
8
8
8
0
24
24
16
16
0
8
8
8
8
8
8
2
0
8
0
0
0
0
0
0
0
0
0
16
16
0
8
4
4
0
0
0
0
0
0
0
0
0
16
16
4
0
1
2
0
0
0
0
0
0
16
0
0
0
0
0
8
4
0
0
0
0
1
1
2
0
0
1
1
1
1
0
0
8
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
4
4
4
4
8
8
0
0
0
0
0
4
2
0
0
0
0
0
0
22
4
4
0
0
0
0
20
0
0
0
0
0
0
16
0
0
4
4
4
1
0
0
0
0
0
8
25
0
34
34
0
16
8
0
0
0
16
0
20
0
0
8
16
0
0
8
17
17
8
0
0
0
3
16
0
0
16
0
0
8
16
16
16
16
0
16
16
8
8
8
0
0
0
0
0
0
2
2
0
8
0
8
0
0
0
8
0
16
24
4
4
2
0
0
0
0
0
0
0
4
0
1
0
0
4
0
0
8
0
0
17
2
2
0
0
0
0
0
0
0
8
0
4
16
0
0
0
0
0
0
0
0
0
0
0
8
0
0
32
0
0
0
20
20
0
0
8
8
0
0
0
20
8
8
8
8
0
8
0
0
0
0
0
0
16
0
0
0
16
8
8
0
0
0
0
0
8
0
0
0
0
8
0
0
0
8
0
0
0
0
0
0
0
0
0
8
0
0
0
4
4
4
0
16
0
0
0
8
8
0
1
0
0
0
0
0
0
18
0
0
0
0
8
0
0
0
16
16
16
16
0
0
0
0
0
8
8
8
6
9
0
0
0
16
16
0
24
16
8
8
16
62
0
0
0
0
0
0
12
12
0
0
0
0
8
8
16
16
0
16
16
16
16
0
0
0
0
16
0
0
0
2
8
8
2
0
8
16
8
0
0
0
11
0
0
0
0
1
0
0
0
0
8
0
0
17
2
11
11
0
16
0
0
0
0
0
0
0
0
0
12
0
0
18
0
0
25
25
0
0
0
34
0
0
0
0
0
0
0
0
0
8
16
16
8
1
16
16
16
0
8
0
0
0
8
8
0
0
0
1
8
0
0
0
0
8
0
0
0
0
8
8
4
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
32
0
0
0
0
0
0
0
0
1
1
0
0
17
0
0
2
2
8
8
8
0
32
32
32
6
2
0
16
0
0
0
8
8
0
1
0
0
0
17
0
0
0
0
0
16
0
16
16
8
8
0
0
0
0
56
0
0
8
0
16
16
0
0
0
8
8
0
0
16
16
8
8
8
0
0
0
0
8
8
0
0
0
0
4
0
0
0
20
0
0
0
4
4
4
0
8
8
8
8
8
8
8
0
0
4
0
1
1
1
0
0
0
4
32
0
0
0
0
0
0
1
0
0
0
16
16
0
0
9
0
0
0
0
0
0
0
0
8
8
8
8
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
16
0
0
2
0
16
0
0
4
32
0
0
0
0
8
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
0
0
0
1
0
0
4
4
0
0
0
0
0
0
16
0
16
16
16
16
16
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
8
8
8
8
0
0
8
0
0
8
8
8
0
0
0
24
24
0
0
8
0
0
0
0
8
4
0
0
0
16
0
0
0
0
1
0
0
0
0
0
24
16
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
33
41
0
0
0
8
16
0
4
0
0
0
0
0
0
8
0
0
0
0
32
32
0
0
0
16
0
0
8
24
24
0
0
0
0
0
0
0
0
0
2
0
0
0
0
16
16
0
0
16
0
4
4
0
0
0
16
9
4
16
13
18
0
0
0
0
0
0
0
0
2
2
0
0
0
0
0
0
16
0
8
16
4
0
0
0
0
0
0
4
8
0
0
16
0
0
0
16
0
0
0
0
0
0
0
0
4
0
0
1
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
8
16
0
6
6
6
6
2
2
16
40
4
0
0
4
0
10
0
40
40
16
16
0
0
0
2
3
0
0
0
0
1
0
0
0
0
1
0
0
0
0
52
52
52
52
16
0
16
0
0
0
0
0
0
20
0
14
0
0
0
0
0
8
4
0
8
8
16
16
0
0
8
0
0
2
20
20
0
0
0
0
0
4
1
4
0
0
6
6
32
16
16
10
10
0
0
16
0
16
16
0
0
4
4
4
0
0
0
0
0
0
0
0
4
24
8
0
0
16
1
1
1
1
1
0
16
0
0
0
0
0
0
8
8
0
0
0
0
0
0
4
2
0
0
0
4
0
0
0
0
1
1
16
0
0
0
16
8
0
0
0
0
0
0
1
0
8
8
8
0
0
0
0
0
0
0
0
16
8
4
4
4
0
4
0
9
0
0
0
0
0
0
0
0
16
16
0
2
16
16
0
0
0
0
0
0
8
1
0
0
8
8
8
0
16
16
0
0
0
0
8
8
0
0
1
8
0
0
8
0
0
8
8
8
0
0
0
0
0
0
0
4
1
0
4
8
8
0
8
8
0
0
0
0
16
16
0
0
8
0
0
0
0
16
0
0
0
2
2
25
25
1
4
0
0
0
0
8
8
24
24
16
16
16
0
0
0
8
8
0
0
0
0
0
8
0
0
0
0
2
8
8
8
4
4
4
1
16
16
16
8
0
8
8
2
0
0
0
8
4
0
8
8
8
8
0
16
4
32
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
8
8
8
0
0
0
40
0
0
8
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
1
1
1
16
0
0
4
0
0
0
0
8
0
4
1
24
16
8
16
16
0
40
0
0
0
0
1
1
1
1
1
0
0
0
0
0
0
0
0
8
0
0
0
17
16
8
8
0
4
0
0
8
16
0
16
0
8
0
0
0
8
0
0
0
8
0
0
0
0
0
0
0
20
0
0
0
0
8
0
8
8
32
17
8
8
8
8
0
8
8
0
16
0
16
16
55
0
0
8
8
0
16
0
0
0
1
1
1
1
0
0
0
32
32
0
0
16
8
8
8
0
16
24
4
4
4
4
0
8
8
0
2
0
0
12
16
0
0
0
0
16
0
0
24
24
0
0
8
0
8
2
2
0
1
0
8
16
8
24
16
9
0
0
8
2
8
8
8
4
4
24
0
0
4
4
0
0
0
24
0
0
0
0
0
8
8
8
16
16
25
0
16
16
16
41
1
0
16
16
16
0
8
0
0
0
0
0
0
8
8
0
25
8
0
0
8
8
32
16
0
0
6
0
14
16
0
8
0
9
0
0
8
0
10
10
10
10
8
4
0
0
0
8
8
0
0
0
0
0
0
0
16
0
0
0
16
0
0
8
8
0
0
0
0
16
0
16
0
8
0
0
16
0
0
0
0
0
8
32
0
0
8
8
16
8
16
0
0
0
8
8
8
0
0
16
16
16
8
16
6
0
0
16
0
0
0
0
0
0
0
0
0
0
1
2
2
0
0
0
0
0
0
0
20
20
20
20
17
0
0
0
26
0
8
24
32
0
8
0
8
32
0
0
8
1
1
1
0
2
1
8
8
0
16
0
0
8
8
8
0
0
1
1
4
16
0
0
0
8
0
8
8
4
8
8
8
8
8
0
0
0
0
12
0
0
0
24
24
24
0
16
16
0
16
5
0
0
0
0
18
0
16
1
1
1
1
0
0
0
0
0
32
0
0
0
0
0
0
0
0
4
0
0
0
0
0
2
16
0
0
16
0
8
8
1
1
1
1
8
0
0
8
8
0
4
61
8
8
0
0
0
0
0
0
16
1
4
2
0
0
0
0
0
0
0
0
0
0
9
0
0
0
0
0
1
0
0
0
0
8
8
0
0
0
4
4
4
0
0
0
8
8
8
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
24
0
0
6
8
0
0
0
0
0
16
8
8
0
4
4
0
2
18
8
8
8
8
0
0
16
16
16
0
8
8
0
0
8
0
0
0
0
8
8
16
0
17
0
0
0
0
4
16
2
0
8
8
8
8
8
0
0
0
8
16
16
16
0
0
0
0
8
0
0
0
0
8
8
16
4
4
4
0
0
0
8
0
0
0
0
0
1
1
8
2
24
24
0
0
0
8
8
0
1
0
0
16
16
0
0
0
0
16
16
0
0
0
0
0
0
4
0
0
0
0
0
1
0
0
0
0
8
8
8
16
0
0
8
8
0
0
16
0
0
16
1
1
17
4
24
0
0
0
1
1
0
8
9
25
0
8
8
0
1
1
0
8
2
2
2
12
17
17
0
16
0
8
0
16
2
2
2
0
0
0
16
0
0
0
16
9
9
26
0
0
0
32
32
32
32
32
32
0
0
0
16
16
0
16
0
0
24
8
0
0
0
0
0
0
0
0
1
8
8
8
0
4
0
0
16
16
8
8
0
16
0
0
8
0
16
16
16
8
8
8
8
8
0
0
0
12
8
8
24
8
16
16
8
20
2
0
8
0
0
0
0
0
16
16
16
16
0
0
44
0
2
2
2
8
24
0
0
0
0
6
0
8
0
16
8
8
8
8
0
8
8
0
0
4
24
0
32
0
0
16
0
0
16
28
0
2
0
12
8
2
2
2
2
2
16
0
1
0
24
26
8
0
0
16
0
0
0
8
0
16
16
4
0
0
0
0
0
8
8
8
0
40
2
8
8
24
52
52
4
0
0
32
32
32
32
32
32
2
0
16
25
25
0
0
16
16
17
24
8
0
8
24
24
0
8
8
0
0
0
0
0
16
0
0
0
0
0
0
2
18
8
16
16
0
16
0
17
0
0
0
0
0
0
0
8
8
1
0
32
8
0
16
16
8
0
0
2
0
8
0
0
0
0
0
0
16
16
8
8
8
4
24
24
8
8
8
8
0
8
0
0
17
1
1
8
8
0
0
0
0
8
0
0
0
0
0
16
0
0
0
16
2
0
4
0
0
8
0
24
24
0
16
0
0
0
0
57
16
16
0
2
2
2
16
16
16
0
0
2
2
8
1
0
8
8
0
0
0
0
0
8
8
8
0
42
42
0
0
8
8
8
0
4
4
4
2
16
8
8
1
0
0
0
4
0
1
0
0
24
24
0
2
2
0
4
0
0
0
0
0
0
16
4
0
0
0
0
0
0
1
8
8
8
8
10
24
8
0
0
0
8
8
8
8
24
0
0
0
0
4
8
16
0
0
8
8
0
4
0
0
0
0
0
0
0
16
8
8
0
0
2
0
8
0
0
0
0
0
0
8
9
16
0
0
16
16
16
8
24
8
8
2
0
0
0
0
4
8
0
0
0
0
5
0
4
8
1
16
16
16
16
0
0
8
8
8
0
0
0
0
0
0
0
24
24
24
0
0
8
8
0
0
0
0
8
8
0
0
4
0
0
0
0
0
0
0
0
16
16
8
0
0
0
0
0
0
0
0
8
0
0
0
0
0
17
0
1
1
2
4
0
0
0
0
17
8
8
0
0
0
32
0
8
24
0
0
17
8
8
8
8
8
0
0
8
7
16
0
0
0
0
8
1
0
0
0
0
16
0
0
0
4
4
8
0
0
0
0
0
0
0
0
0
24
0
17
4
56
0
1
1
0
0
0
0
16
16
4
0
4
8
0
0
0
16
16
18
0
0
0
0
0
0
8
8
4
0
8
8
8
0
16
8
8
8
0
16
0
0
3
0
8
8
0
0
1
0
0
8
8
8
16
16
0
0
0
0
16
16
16
8
0
16
16
16
16
8
8
8
0
16
24
2
0
1
8
8
17
17
16
0
0
0
0
0
8
8
0
0
20
0
0
0
0
16
0
0
8
48
48
1
1
0
0
8
8
0
16
16
0
0
4
0
8
0
0
0
0
0
32
8
8
1
1
4
16
0
16
0
0
1
8
8
2
0
0
32
0
0
2
2
2
2
8
8
0
0
2
8
16
0
0
0
0
2
8
0
0
0
0
0
1
0
8
8
0
0
0
4
0
0
8
0
17
17
17
0
16
4
0
16
16
16
8
2
2
2
4
0
8
8
16
0
0
16
0
0
4
4
4
4
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
24
0
0
4
2
0
0
2
8
49
1
0
8
0
0
0
0
0
0
16
16
16
0
0
16
0
2
8
8
16
1
1
10
0
0
0
16
1
1
0
0
0
4
0
0
0
0
0
8
0
0
0
0
0
0
16
0
0
16
16
0
24
24
16
8
0
0
0
0
0
0
8
0
0
40
0
0
0
0
0
8
4
4
0
1
1
8
8
8
0
0
0
24
24
24
0
1
1
0
0
0
0
16
0
0
0
0
0
0
24
0
4
16
0
0
0
0
17
17
16
0
16
24
2
0
16
0
0
0
0
16
16
16
16
0
0
1
0
0
4
4
0
0
8
28
12
0
2
2
0
0
0
0
0
8
8
8
0
0
18
0
4
1
1
16
16
4
8
0
0
0
0
16
8
8
8
8
8
0
4
0
0
24
0
0
0
0
0
0
0
0
0
0
0
2
0
0
4
0
0
0
0
0
0
8
8
16
16
16
8
16
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
8
8
8
1
8
8
0
1
1
1
1
0
0
0
8
0
0
0
0
0
8
8
0
0
0
0
21
21
0
6
0
0
0
16
4
24
8
8
8
0
32
2
2
8
8
0
4
0
0
0
4
0
0
0
0
0
1
0
0
0
0
0
8
8
8
8
0
28
0
0
16
8
0
0
0
10
2
0
20
0
0
0
16
16
8
0
0
0
0
16
0
0
0
8
8
8
0
28
0
0
0
1
1
1
1
20
8
0
22
22
0
0
0
0
0
0
0
4
4
0
0
0
8
0
12
0
0
12
0
0
0
1
32
1
4
4
4
16
0
0
0
16
0
0
0
0
2
0
0
32
32
4
4
0
2
0
32
8
0
0
8
4
4
35
4
0
0
0
8
0
0
4
0
16
8
13
8
4
4
4
24
8
8
8
8
1
0
0
0
0
0
0
24
0
24
6
0
16
16
0
8
8
8
8
8
1
1
0
0
16
16
16
40
0
0
0
0
4
0
8
8
0
0
16
16
0
0
16
16
0
0
0
0
0
8
0
0
0
8
0
12
0
0
0
12
0
0
0
0
0
16
0
1
0
16
8
8
8
8
0
16
0
8
0
0
4
16
0
16
50
2
10
2
8
8
0
8
0
1
1
1
1
0
0
2
8
0
0
1
0
0
8
1
4
32
0
0
0
8
0
0
0
12
0
8
16
0
9
16
0
8
2
6
6
0
0
8
16
0
0
26
0
0
0
0
0
0
16
1
1
16
0
0
0
48
0
0
0
0
16
4
4
0
20
0
1
1
0
0
4
4
20
0
0
4
8
8
0
16
16
0
0
0
0
0
0
0
0
8
8
0
0
0
12
12
16
16
0
13
0
0
0
0
0
0
0
0
0
6
0
0
0
0
8
1
0
0
0
0
8
8
8
8
8
8
16
16
0
2
20
0
4
4
4
8
8
8
0
10
4
4
1
8
8
8
8
8
4
0
0
8
8
8
8
8
25
17
17
8
0
8
16
0
8
8
0
0
8
0
0
4
4
4
4
0
2
0
0
0
0
8
8
8
8
0
0
0
0
0
0
0
0
0
16
16
0
8
0
6
0
8
4
0
0
0
0
0
0
24
8
8
8
4
0
0
16
16
0
0
0
16
16
8
0
4
1
1
1
0
16
0
8
20
8
19
0
0
0
8
16
0
0
0
0
0
0
0
8
8
16
0
24
0
16
1
0
9
0
0
56
0
0
0
0
8
8
8
0
4
16
0
16
8
8
0
0
0
0
0
0
0
12
0
0
8
0
8
8
8
0
0
0
0
0
0
8
8
4
4
4
8
0
17
0
0
0
0
0
0
0
0
8
0
0
4
0
0
0
5
0
24
0
8
1
0
8
0
8
6
6
6
2
0
0
0
0
0
2
0
0
0
0
8
0
9
2
2
2
0
8
8
8
8
8
8
8
0
0
0
40
0
8
32
8
8
0
0
0
4
4
8
8
8
0
8
8
0
0
0
60
60
60
0
0
8
0
0
16
8
8
0
0
0
0
16
0
0
0
28
0
0
32
0
0
4
4
4
0
0
0
16
16
16
8
8
16
0
8
2
1
0
42
42
0
0
16
24
0
0
0
0
0
0
0
1
1
2
1
4
0
0
32
0
24
16
16
16
16
0
0
0
4
8
8
0
8
16
0
4
0
1
1
8
0
48
0
8
8
0
0
0
0
0
0
0
17
1
16
2
8
0
8
8
16
16
0
1
0
0
0
0
0
0
0
8
0
16
16
16
16
8
8
8
8
28
16
0
40
8
8
1
1
1
1
8
8
4
4
2
4
0
0
8
0
8
8
8
8
0
16
24
8
8
0
0
17
16
16
16
1
0
0
0
0
8
8
0
8
1
6
8
8
0
8
0
0
8
8
0
1
11
17
17
4
0
0
0
0
0
0
0
0
8
8
8
0
0
16
4
4
8
16
22
0
0
4
8
8
8
0
0
0
0
0
8
8
16
8
8
0
0
0
0
0
0
0
0
1
8
8
8
8
8
1
1
20
16
16
0
2
4
4
0
0
0
0
0
0
0
8
8
8
0
2
2
2
2
32
32
32
32
24
24
0
12
0
8
0
0
0
0
16
8
0
0
0
8
0
24
0
0
0
0
8
0
0
10
0
0
0
2
2
0
8
0
0
8
8
0
0
0
0
0
4
0
4
8
0
0
8
8
24
0
0
0
0
2
0
0
0
0
8
0
0
0
18
4
2
0
0
0
0
0
0
0
16
0
0
0
0
32
32
8
16
16
0
16
4
0
0
8
0
0
0
0
24
40
40
16
0
0
0
0
0
8
1
0
0
1
1
1
0
0
0
0
24
0
0
8
0
0
32
32
32
8
0
0
0
0
16
4
8
0
0
0
0
0
0
0
2
8
0
0
0
16
0
0
0
4
8
16
16
16
0
8
8
0
23
23
2
2
2
24
24
8
4
0
0
0
10
2
2
0
0
24
24
16
16
16
0
0
16
16
16
16
0
0
0
0
0
4
8
8
0
0
8
8
8
8
0
0
10
0
0
0
0
8
4
8
8
0
0
0
0
18
8
8
2
0
16
1
1
16
4
8
0
0
32
5
4
16
16
0
8
8
0
0
16
16
0
0
0
0
32
0
8
8
8
8
8
8
8
8
8
4
0
0
0
0
0
4
4
4
4
0
0
30
30
16
16
24
0
24
8
0
2
2
0
1
16
8
32
32
0
8
0
0
12
8
2
0
0
8
8
8
8
28
17
17
0
0
0
0
8
8
0
0
0
6
16
16
16
4
0
24
0
0
0
0
0
0
0
0
0
2
0
0
8
8
8
12
12
12
0
0
0
0
1
12
0
0
0
8
8
8
0
0
0
0
0
0
8
8
16
0
0
8
8
8
0
0
0
2
0
4
4
0
8
8
0
0
38
0
0
8
0
0
4
4
0
0
0
0
0
0
0
0
0
0
0
16
16
4
0
24
24
16
9
8
0
0
0
0
0
0
16
0
0
0
0
8
0
8
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
16
0
0
0
0
0
0
0
4
4
20
0
2
0
0
0
0
0
8
8
8
1
0
9
0
8
0
0
0
32
32
0
0
0
0
1
0
20
16
16
2
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
8
8
8
0
0
8
0
0
0
0
0
0
4
4
4
4
0
16
18
16
18
8
16
0
4
4
0
16
0
8
0
0
0
0
0
8
0
0
0
0
0
16
0
0
0
0
8
8
8
1
16
8
12
12
12
0
24
60
0
0
0
8
8
16
0
16
0
0
16
0
0
0
0
0
12
0
16
16
12
8
0
0
1
10
2
16
32
20
0
4
4
0
0
8
8
8
16
0
0
4
0
0
0
0
0
8
8
4
16
0
0
0
0
16
0
16
0
0
0
0
0
0
8
0
0
16
16
16
16
0
0
8
8
16
0
0
0
0
0
0
0
24
16
4
0
0
8
8
0
0
0
16
16
16
0
0
0
0
2
0
0
0
0
0
4
0
0
4
0
0
0
0
0
0
8
0
0
16
8
8
8
8
8
8
0
0
0
16
16
0
0
0
8
8
0
24
0
0
16
16
16
0
8
16
0
0
8
8
8
4
8
8
8
8
8
8
16
16
20
1
0
0
0
0
0
0
0
0
0
1
16
0
0
0
4
4
16
0
0
29
29
29
0
0
0
0
16
16
16
18
8
8
0
8
8
16
18
0
0
0
16
0
49
0
0
0
8
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
24
24
0
4
0
0
0
0
16
0
0
24
4
0
0
0
0
0
0
0
0
12
4
16
16
16
27
16
0
8
0
0
0
32
32
0
16
0
2
20
4
0
0
0
0
0
0
0
0
0
12
28
8
8
0
0
0
0
32
32
32
32
0
0
0
0
16
0
0
0
0
16
8
0
16
0
4
6
6
0
32
32
0
24
0
0
0
0
0
0
16
16
0
4
0
17
17
17
16
0
4
0
8
8
16
8
0
0
0
0
0
0
0
0
0
0
0
4
0
0
1
1
16
0
0
0
0
0
8
0
16
0
0
8
18
0
0
8
0
16
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
16
0
0
1
1
1
0
0
2
2
16
16
0
0
0
4
0
0
8
1
0
0
0
0
0
0
0
0
0
16
0
16
4
8
0
0
0
0
0
24
24
0
0
0
0
0
0
16
0
4
4
0
0
0
0
0
0
8
8
0
0
0
0
5
0
0
0
0
16
0
4
4
4
0
0
16
16
9
9
0
0
0
0
0
0
0
8
16
0
18
0
0
0
0
0
24
24
0
0
0
0
0
0
0
0
0
0
0
0
0
16
4
0
12
12
0
24
24
24
4
0
2
0
0
0
1
0
0
1
0
8
0
0
28
28
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
16
0
0
0
0
0
0
4
4
4
4
8
26
16
16
16
0
0
8
8
16
8
0
8
1
8
0
16
0
16
0
0
0
1
0
0
8
0
0
0
16
16
16
16
0
0
8
0
0
0
0
8
0
8
1
2
0
0
8
8
8
16
16
16
8
0
4
4
4
4
4
8
16
0
0
0
0
1
8
8
0
0
43
0
0
0
0
8
24
24
0
0
4
8
4
8
8
8
0
0
0
0
0
0
8
8
0
0
0
0
0
0
16
16
0
0
0
0
0
16
16
1
8
0
0
0
0
0
0
0
32
0
0
0
0
0
0
0
0
0
0
17
24
0
16
16
0
16
16
0
0
0
4
4
16
16
20
0
0
0
8
0
20
16
0
8
8
16
16
8
8
8
6
0
0
0
0
16
0
32
32
17
17
0
0
0
16
0
0
0
0
0
8
0
0
0
0
8
8
0
2
2
8
8
24
0
0
0
0
2
2
2
2
0
0
8
8
0
28
28
0
0
0
0
0
8
8
4
0
1
1
16
0
0
0
0
8
0
1
1
0
8
0
0
0
0
16
16
0
0
0
0
0
1
1
0
0
12
12
4
4
4
0
24
24
0
0
0
6
6
25
0
0
0
0
0
8
4
8
0
23
0
0
16
8
0
0
0
0
8
0
0
8
0
0
0
0
0
0
0
8
0
0
0
0
16
16
2
2
2
16
0
40
21
0
0
4
4
16
16
0
16
10
0
8
8
8
8
0
0
0
0
0
0
0
0
24
0
0
0
16
0
8
8
8
0
0
8
0
0
0
0
0
0
0
16
16
16
16
16
16
0
16
0
0
1
0
0
0
0
0
0
0
0
8
0
16
0
0
16
1
1
0
0
16
16
0
0
0
17
0
0
0
16
0
0
0
0
0
16
0
0
16
16
16
0
8
0
0
0
0
16
4
0
0
0
0
8
8
1
0
0
0
16
17
17
8
8
0
0
0
0
0
14
2
8
4
0
16
16
16
0
0
8
0
8
8
8
0
16
0
0
3
0
1
1
0
0
0
8
16
0
8
0
12
8
8
0
0
0
8
0
19
19
0
8
0
0
0
0
3
2
8
0
0
0
0
0
0
0
0
8
16
16
16
0
8
0
0
0
16
4
4
4
16
0
0
0
0
8
8
0
0
0
0
4
4
16
0
0
0
0
0
0
0
4
8
0
18
8
0
8
8
40
0
8
8
0
0
8
8
0
4
0
30
4
0
0
0
0
0
0
3
8
8
32
32
32
0
0
0
2
24
24
1
0
16
16
0
0
0
0
0
0
1
6
0
0
0
2
2
0
0
0
0
1
8
0
8
8
0
0
16
16
0
16
8
23
0
0
0
0
0
16
0
0
0
0
0
0
16
0
1
0
0
0
2
0
0
34
1
0
0
16
8
0
16
16
0
0
0
0
0
0
0
0
24
0
0
0
8
16
0
0
0
0
0
0
0
0
2
0
8
8
0
0
0
0
0
24
0
0
8
0
0
0
0
0
0
0
0
0
16
16
20
0
0
0
0
8
0
1
12
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
24
24
16
2
8
8
0
0
0
8
8
0
0
0
1
8
8
2
0
0
4
8
0
0
2
0
8
8
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
8
0
0
0
0
8
8
4
0
0
0
0
16
0
0
0
0
4
0
4
12
12
12
0
16
8
8
8
0
0
0
2
0
8
8
0
1
8
2
24
0
0
0
0
0
0
8
0
0
0
0
0
0
0
8
8
8
8
8
8
8
8
0
0
22
8
0
24
16
16
0
0
0
8
2
0
8
16
0
8
0
4
0
0
20
0
24
24
17
17
0
0
0
0
0
0
0
0
0
0
16
28
0
0
1
0
0
0
0
2
0
0
0
0
0
0
1
1
0
8
4
4
0
0
8
8
8
16
8
8
8
8
0
0
0
0
0
0
2
0
0
0
0
12
18
8
12
0
0
0
0
0
33
33
16
2
0
0
1
1
16
16
16
1
1
1
0
8
1
16
24
24
24
24
0
4
4
8
0
32
16
8
8
0
0
8
8
8
0
0
0
0
0
0
0
0
2
2
0
0
0
8
8
8
0
0
0
0
0
0
24
16
16
8
16
0
0
0
0
8
8
8
1
0
16
0
1
1
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
4
4
16
4
4
4
0
8
0
0
0
0
16
16
16
16
0
16
20
8
0
0
16
0
8
8
0
0
12
12
12
12
8
0
0
0
0
0
0
0
0
8
8
0
0
0
8
8
8
8
8
8
8
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
0
16
0
12
2
0
0
0
0
0
0
17
8
8
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
16
0
0
0
0
16
0
16
0
2
0
8
0
16
0
4
4
0
4
0
0
0
2
0
2
2
24
0
0
0
8
8
0
0
0
0
0
0
8
8
8
2
0
0
0
0
16
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
16
16
24
0
8
16
2
0
0
0
4
4
24
0
8
4
0
2
0
0
16
16
0
0
0
8
0
0
0
0
0
0
0
0
4
16
0
0
4
16
48
0
0
0
0
0
0
0
0
8
8
8
0
0
0
2
2
2
0
0
0
0
0
0
0
0
8
8
0
0
16
8
0
8
0
0
0
0
4
0
0
0
4
7
16
8
8
8
0
16
16
8
8
8
8
8
8
0
0
16
16
0
1
1
1
1
16
0
16
0
12
12
12
8
0
0
16
1
1
16
16
0
1
8
8
16
0
0
0
0
0
8
16
16
8
0
0
0
0
0
16
8
8
8
32
0
53
0
8
8
8
0
0
8
16
16
1
0
0
0
16
0
0
0
0
12
12
8
8
8
8
25
10
0
0
0
16
0
0
24
4
0
16
26
0
2
0
0
0
0
0
0
0
1
16
16
8
16
16
16
16
0
32
32
8
8
8
0
0
0
0
0
0
8
8
0
0
8
8
0
0
0
0
0
0
0
8
0
0
0
8
8
0
1
0
0
0
0
0
0
2
16
16
0
0
0
0
24
1
16
1
16
6
6
20
20
20
20
2
0
0
0
0
8
44
16
0
0
13
8
8
8
8
0
0
6
2
16
16
0
0
0
0
16
0
0
0
0
0
0
24
0
0
0
1
0
0
4
8
0
0
0
0
0
0
0
0
16
16
0
16
0
0
16
16
0
4
8
8
0
0
0
0
0
16
0
0
2
1
0
1
1
16
0
1
18
18
4
8
0
0
0
0
32
8
8
8
0
0
0
24
45
8
8
0
0
17
17
16
16
16
2
2
2
0
1
1
0
0
16
0
0
0
56
0
16
16
8
0
0
0
0
0
8
28
28
0
0
0
0
0
0
8
0
0
0
0
16
0
0
22
22
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
4
8
0
0
0
8
8
8
8
8
8
4
8
8
8
8
0
0
0
0
0
0
0
0
8
16
16
2
0
0
8
8
8
8
0
4
0
0
0
0
0
8
0
0
10
10
8
0
1
16
16
16
0
0
26
26
26
26
26
26
0
8
4
0
0
8
2
0
32
0
0
2
0
0
4
4
0
8
8
0
0
4
16
8
0
0
2
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
8
0
4
26
16
0
0
0
7
30
30
0
0
0
0
0
16
16
16
0
0
0
0
0
0
0
0
0
8
0
0
8
0
48
32
32
8
0
0
4
4
2
2
0
8
8
8
0
0
8
16
0
0
4
0
0
0
0
0
0
0
0
0
16
0
0
8
0
0
8
0
8
0
4
0
0
0
0
0
0
0
8
0
8
8
0
0
0
0
0
0
8
8
0
0
0
0
0
9
0
16
0
2
0
0
0
0
0
0
0
24
0
0
0
0
8
8
0
0
0
16
16
16
16
8
8
8
8
0
0
0
0
0
0
0
0
0
2
0
0
0
2
0
2
0
0
0
32
20
0
0
0
0
1
16
16
0
16
16
16
16
0
2
4
16
16
48
0
0
0
0
1
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
4
0
8
16
0
0
0
16
0
16
0
8
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
8
4
8
8
0
0
24
0
20
16
2
16
16
0
0
8
0
0
2
0
0
0
24
0
0
0
0
0
4
0
0
8
0
0
0
16
0
0
28
20
2
6
0
8
0
6
0
4
4
6
8
0
0
4
4
0
0
4
16
16
0
0
2
2
0
8
0
8
8
0
0
0
0
0
0
0
0
0
24
24
0
18
0
0
0
0
16
16
16
16
16
16
0
0
0
0
0
0
0
16
16
16
16
0
0
4
4
16
0
0
8
8
8
8
8
8
22
22
22
0
0
0
0
8
16
1
1
1
2
1
25
25
0
0
0
0
0
1
1
1
8
0
0
0
8
8
8
0
0
0
16
32
0
0
0
16
24
8
1
0
0
0
0
8
0
3
28
28
4
0
0
0
8
8
16
0
8
8
8
9
0
2
4
4
4
8
8
8
0
0
0
1
8
0
0
16
8
8
4
4
0
0
0
20
20
20
20
20
1
1
1
1
1
1
0
8
0
0
8
8
0
8
2
8
0
0
0
8
16
16
16
0
2
1
1
4
4
16
0
16
16
16
16
0
0
4
24
24
0
16
0
8
0
0
8
8
2
2
1
1
0
0
0
0
4
8
4
4
16
16
16
16
16
2
0
0
0
0
0
0
4
0
0
0
8
8
8
0
0
16
24
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
1
16
8
8
8
0
8
8
8
0
1
8
36
36
0
0
16
0
8
0
0
0
0
0
8
0
0
0
0
8
0
17
4
4
0
0
0
0
0
1
1
0
0
18
18
5
5
5
0
8
8
8
8
8
8
2
2
2
8
0
9
9
0
0
17
17
17
0
0
0
0
8
8
8
8
0
8
8
0
0
0
20
20
20
0
0
0
0
8
0
0
0
16
32
0
16
8
0
0
0
0
0
6
6
4
0
0
0
0
16
16
24
8
24
0
0
0
0
16
1
0
0
0
0
0
0
0
0
2
2
0
0
8
0
4
4
4
4
0
0
0
0
16
16
0
0
16
16
2
0
0
0
0
0
0
16
0
0
4
0
8
2
2
2
0
0
0
0
0
0
16
16
4
16
0
16
20
20
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
8
8
0
0
0
0
0
8
11
11
0
24
0
0
0
0
0
0
0
0
0
18
18
0
0
0
8
0
0
0
0
1
1
16
16
0
0
8
2
2
8
8
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
8
0
8
8
12
16
0
0
0
8
4
0
8
0
0
8
0
18
40
0
8
0
10
0
16
0
1
16
0
0
4
0
0
0
2
16
0
0
40
8
0
0
0
0
5
5
0
0
0
8
8
8
8
8
4
8
0
0
0
0
0
8
2
8
8
8
8
8
16
0
0
24
0
8
0
0
0
0
24
24
8
41
0
0
4
4
0
0
0
16
0
8
8
0
16
20
0
0
0
0
28
8
8
16
0
0
0
0
0
0
0
16
24
40
0
0
0
16
0
0
0
0
0
0
0
0
0
0
4
4
2
0
6
1
16
16
8
0
0
0
0
0
0
0
0
9
1
0
0
4
2
8
0
0
0
2
2
10
16
0
0
0
16
0
0
0
0
0
0
0
16
0
2
8
0
0
8
0
0
0
0
0
0
8
0
0
17
8
16
16
0
16
8
0
0
0
16
0
25
0
0
0
0
0
16
0
0
0
0
0
16
16
0
19
0
0
0
0
0
1
0
0
8
8
8
8
0
0
16
16
0
9
8
8
0
0
0
0
0
8
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
8
0
0
16
16
16
4
16
0
16
16
0
18
0
0
0
0
0
8
8
8
8
0
16
16
18
6
6
0
0
0
4
0
0
4
2
2
2
2
2
0
0
0
8
16
8
8
0
16
12
0
0
0
0
24
0
24
0
0
0
20
8
0
8
8
0
8
0
2
2
0
8
8
0
1
1
0
0
0
0
0
8
8
0
0
0
0
0
16
16
25
8
8
0
0
25
16
0
0
0
0
0
0
0
0
16
16
16
16
0
0
0
0
0
0
1
2
2
2
24
0
0
0
0
0
0
8
8
4
0
0
0
0
8
0
8
16
24
0
8
8
0
0
1
1
0
0
0
0
8
8
8
8
0
8
0
16
0
0
24
16
24
16
0
0
48
0
0
0
0
0
4
8
8
8
4
16
16
8
20
0
0
16
0
0
0
24
24
8
8
0
16
8
34
0
0
4
16
4
4
0
0
16
20
24
24
0
8
26
8
8
36
10
0
2
0
0
0
0
8
4
0
0
8
20
20
20
0
16
16
0
0
0
0
0
0
1
8
0
2
0
0
0
0
8
0
0
0
0
0
0
0
1
0
0
0
2
0
18
18
0
4
0
0
0
0
0
0
0
1
2
20
4
0
16
0
0
0
16
8
8
16
16
24
0
0
8
16
0
8
2
0
0
0
0
0
0
16
4
16
16
24
0
4
0
8
0
0
0
0
16
8
0
0
0
0
0
24
24
24
24
0
0
0
16
0
0
0
0
8
0
4
4
4
8
8
0
0
16
16
16
0
0
48
0
1
25
25
0
8
8
0
0
0
0
0
16
7
0
8
23
8
8
1
1
1
0
16
0
0
0
16
0
3
0
22
22
0
17
4
0
0
0
0
0
4
4
4
1
0
0
16
8
4
4
0
0
0
0
8
0
0
0
32
2
2
0
0
0
24
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
8
8
0
4
24
8
0
8
0
0
2
4
0
20
0
0
9
0
4
17
17
1
30
0
0
8
16
29
0
10
8
0
8
16
0
0
4
0
20
0
5
0
0
48
0
16
16
16
16
16
0
16
16
16
16
0
8
8
24
24
16
2
22
2
0
1
0
0
0
0
8
0
0
0
0
32
0
0
16
4
8
8
0
0
0
0
0
16
0
0
4
0
0
8
16
8
0
4
8
8
8
0
0
0
0
0
24
0
0
0
16
8
0
8
0
0
16
16
8
16
0
0
0
8
8
8
0
8
0
8
8
8
0
0
9
6
6
33
0
7
7
7
0
0
0
2
24
24
0
0
8
32
32
8
2
0
2
16
8
0
0
0
0
8
0
0
8
8
4
4
0
0
2
0
8
0
0
0
0
0
1
0
0
16
16
0
1
2
0
4
6
0
0
0
0
0
0
0
0
16
16
16
0
0
8
8
16
0
16
16
0
0
0
0
0
8
8
8
8
8
16
16
0
0
0
0
0
0
0
0
0
0
8
16
0
0
0
0
0
0
1
8
8
0
0
0
0
0
40
0
1
16
0
0
0
0
0
0
40
0
0
8
4
1
0
0
4
0
4
22
16
16
0
8
0
0
0
32
0
4
4
1
1
1
12
0
0
8
1
0
0
0
2
0
8
2
2
0
16
8
0
0
0
4
0
25
8
0
2
0
0
0
12
0
0
0
0
0
0
0
0
0
0
24
8
0
0
24
16
0
0
8
0
0
0
0
37
37
37
0
0
8
0
0
0
0
8
0
0
0
0
18
2
0
0
0
0
16
16
0
0
0
0
0
0
8
4
4
16
0
0
8
24
24
0
0
0
8
8
0
0
0
0
0
0
6
0
0
2
2
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
20
0
0
0
0
8
0
0
0
0
0
0
0
0
16
0
0
7
0
9
0
0
0
8
0
16
16
16
16
16
2
2
2
2
2
2
2
8
1
1
1
0
1
9
16
16
8
8
0
0
0
0
52
8
8
0
0
0
0
8
8
0
0
1
16
16
1
8
8
24
24
24
24
0
0
1
8
8
17
0
4
4
0
24
0
0
24
24
4
4
4
0
0
0
0
0
2
0
2
2
24
16
8
0
0
0
16
4
4
16
0
0
0
24
16
1
0
0
36
0
0
16
16
0
0
0
16
32
12
12
16
0
0
0
0
32
0
16
2
0
5
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
0
0
0
32
32
8
8
4
4
0
0
0
16
4
0
8
8
8
8
8
16
0
3
3
3
0
16
16
0
0
8
4
4
0
9
9
8
8
8
8
8
0
2
0
0
12
12
0
0
0
18
16
0
8
0
0
4
28
0
0
8
10
0
1
4
4
0
0
4
8
8
0
0
8
0
0
0
4
4
4
4
4
16
16
16
0
0
0
0
16
0
0
0
0
0
0
16
16
16
8
8
0
0
8
0
0
0
0
4
0
1
1
9
1
0
16
16
16
0
0
17
0
0
0
8
8
8
16
4
4
2
1
1
8
8
0
1
16
8
8
0
0
0
1
4
0
0
8
0
0
0
16
1
17
20
0
24
0
0
8
0
0
0
24
8
16
20
16
0
16
16
0
0
32
0
0
0
8
8
8
9
1
0
0
16
16
0
0
0
0
16
16
4
0
4
0
0
0
0
0
0
8
0
0
8
8
0
0
0
0
1
8
8
0
0
1
56
0
0
0
8
8
8
8
8
4
4
0
0
16
0
0
0
6
4
4
0
0
12
11
0
8
0
0
0
0
0
0
10
8
16
16
0
8
8
16
2
2
0
0
0
0
0
0
8
0
0
0
0
4
16
16
16
0
0
0
4
4
4
0
17
17
17
0
0
16
0
0
0
8
1
1
1
4
0
0
16
16
0
0
0
0
0
0
0
0
8
16
4
4
0
16
16
4
0
8
8
8
0
16
16
0
0
0
0
0
8
8
0
0
3
40
17
0
2
2
28
0
0
0
0
1
1
1
17
0
2
16
16
0
0
0
8
1
8
8
20
0
16
4
4
0
1
1
0
0
24
0
0
0
0
0
0
0
8
0
24
0
0
0
0
0
16
2
2
0
0
0
0
0
0
0
0
48
48
48
17
4
16
16
16
0
0
8
0
0
16
0
0
8
1
0
0
0
8
16
0
0
0
0
0
0
0
8
0
0
8
8
24
8
0
0
16
1
0
0
0
0
16
0
0
16
8
1
0
0
8
8
8
0
16
4
4
4
16
16
16
8
0
8
8
0
16
16
16
0
0
0
3
4
4
0
0
4
4
4
0
0
2
0
1
1
1
0
8
0
0
0
0
0
0
16
0
9
0
0
0
0
0
0
0
0
16
0
16
0
0
0
0
0
0
0
0
32
32
16
8
8
48
0
4
0
2
2
0
16
16
16
8
0
8
0
16
16
4
0
2
8
0
0
8
0
0
0
2
0
8
0
0
0
0
0
1
1
0
16
16
0
1
0
33
16
16
16
16
0
0
0
0
0
0
0
8
8
8
8
0
0
4
4
3
0
0
0
0
0
1
0
16
16
32
32
8
8
1
17
8
0
1
1
20
0
0
8
0
0
0
1
0
0
8
0
24
0
0
0
0
0
16
0
25
0
0
8
4
4
8
0
0
0
0
0
0
0
0
16
0
0
8
16
0
1
1
8
8
8
18
16
16
0
24
0
2
2
2
2
8
0
8
0
0
0
0
0
8
32
32
0
0
16
0
0
0
4
6
6
6
1
0
0
0
0
0
0
0
16
0
0
0
0
0
0
16
16
13
13
0
8
8
8
0
0
0
16
16
0
0
0
0
0
0
0
0
0
16
0
0
8
0
16
1
1
0
0
0
8
8
8
0
0
8
8
8
8
8
1
1
1
0
0
0
1
1
16
4
4
8
0
4
4
0
1
1
0
0
4
2
8
8
0
0
0
0
0
0
0
4
12
12
12
16
0
16
16
16
0
1
4
4
0
0
0
0
0
8
4
0
8
1
0
0
0
0
1
1
1
16
0
0
0
0
0
40
2
0
0
0
0
2
2
2
2
0
0
4
4
1
1
1
0
0
0
0
1
28
0
0
1
1
0
0
8
0
0
8
8
16
0
0
8
0
0
0
0
0
0
16
8
0
0
0
4
4
4
4
8
0
20
0
0
0
0
0
8
0
0
0
0
0
0
0
8
8
8
8
8
17
0
0
0
8
16
16
16
0
0
16
2
0
0
0
0
0
8
1
0
8
8
8
8
16
16
16
8
24
10
0
0
0
0
16
0
4
0
0
0
1
2
2
2
4
0
0
0
4
4
0
0
0
0
0
0
0
0
8
0
0
4
0
8
16
16
16
8
16
8
8
8
0
16
0
28
16
1
1
8
8
4
8
16
0
30
16
8
8
8
8
0
0
4
0
0
0
0
0
28
4
4
0
0
0
0
4
0
24
4
4
3
0
8
8
4
0
2
0
0
8
8
8
0
0
8
4
0
0
0
0
0
0
16
0
4
8
1
8
0
0
16
1
8
0
0
8
8
17
8
0
0
16
16
4
8
0
16
0
1
0
16
8
16
16
8
8
4
4
0
8
8
16
0
0
0
0
32
0
0
0
0
0
0
0
0
0
16
8
8
16
16
0
0
0
8
8
8
0
24
0
0
2
8
0
0
0
8
16
0
0
0
16
32
32
0
0
8
0
0
16
16
16
20
20
20
6
6
2
0
0
0
16
16
16
16
0
4
0
0
0
1
16
0
0
1
4
4
0
0
8
0
24
0
0
1
0
2
32
0
0
0
16
16
0
8
0
0
0
0
4
0
8
8
0
0
0
1
1
1
1
1
8
8
0
0
14
4
2
8
8
0
0
0
0
0
16
3
2
0
16
0
4
4
4
16
16
16
16
0
2
0
0
16
4
8
0
0
16
8
0
32
2
0
0
0
6
4
8
6
0
16
0
8
8
16
8
8
2
4
4
0
0
0
8
0
0
0
0
0
8
0
4
0
0
0
0
8
0
0
17
17
17
0
0
0
0
8
8
9
9
0
0
0
0
0
0
0
4
12
12
24
0
0
32
8
8
2
2
8
5
16
16
16
0
0
2
8
8
17
0
0
0
0
0
0
4
0
0
0
0
0
0
0
9
0
0
0
0
8
8
8
8
16
0
24
0
0
0
4
6
4
1
1
0
0
0
8
8
4
8
0
0
4
8
0
0
8
0
8
0
0
16
16
0
0
8
8
16
8
0
0
61
0
0
0
0
4
0
0
0
4
0
0
0
32
0
0
8
2
1
48
0
2
2
2
18
0
0
0
0
0
1
8
0
0
0
0
0
0
0
0
8
8
8
0
0
16
0
32
40
8
0
8
8
32
8
8
8
16
0
0
4
8
2
0
24
0
8
0
12
12
24
24
18
16
3
0
0
0
8
8
10
8
8
16
4
0
16
0
0
0
52
16
16
24
0
2
2
0
57
2
24
0
0
8
8
8
0
0
0
0
0
0
56
5
4
17
0
9
16
0
18
0
20
4
2
0
0
0
0
8
0
0
0
0
0
8
16
0
0
0
0
16
0
0
0
0
0
8
8
0
0
0
8
0
0
0
0
9
0
16
4
4
4
4
4
24
0
0
0
0
0
0
8
16
2
0
6
0
0
24
0
4
0
0
32
16
8
0
0
0
32
8
0
0
0
0
0
0
8
20
0
0
8
8
8
8
8
0
0
16
0
16
0
4
0
0
8
32
0
0
0
0
20
20
0
0
0
2
1
8
0
0
0
4
8
0
0
18
0
8
0
8
8
0
8
16
24
8
8
8
16
16
29
29
29
16
0
0
16
8
8
8
8
0
0
8
0
0
17
4
0
0
0
0
0
0
0
0
0
2
0
18
16
0
0
0
0
0
0
0
8
8
8
0
8
0
2
2
0
0
8
0
0
16
16
0
0
16
16
8
8
0
8
8
21
24
16
16
16
0
8
16
0
8
8
0
0
8
32
0
0
4
8
2
0
0
8
0
0
16
0
0
0
1
0
0
8
8
16
0
0
4
16
0
0
24
0
0
0
1
16
16
8
8
4
4
16
16
32
0
0
0
1
1
8
0
4
8
0
16
0
8
4
8
8
8
8
8
8
8
8
8
8
8
8
8
8
24
8
0
0
2
24
1
8
0
0
0
4
16
4
0
0
16
16
0
0
24
24
4
0
8
0
4
4
0
0
0
8
8
0
0
0
0
0
0
0
4
2
2
0
16
0
0
0
8
0
2
2
24
8
0
8
8
0
0
0
16
0
0
0
0
18
8
0
0
0
0
8
8
2
8
0
16
0
0
0
0
0
9
0
0
16
16
20
0
0
4
4
16
0
0
0
0
0
0
0
0
0
0
3
0
16
16
25
2
16
0
0
0
0
0
0
2
2
2
2
0
16
0
12
12
8
0
0
0
0
0
0
0
0
0
0
2
16
0
4
0
0
0
0
0
1
0
16
16
0
0
0
0
0
32
0
8
2
0
0
0
0
0
8
0
0
0
8
8
8
0
0
8
10
10
0
0
9
0
0
1
16
16
0
8
0
18
0
0
8
0
16
18
16
0
12
0
10
10
10
0
8
0
0
0
30
30
30
0
0
0
0
0
0
32
32
32
0
0
0
18
0
17
17
0
20
0
6
6
0
16
0
16
4
16
8
0
8
8
8
0
1
8
4
4
0
0
1
20
16
0
8
8
8
8
16
16
16
16
16
16
32
8
16
16
0
0
4
5
5
8
8
0
0
0
0
8
0
16
2
2
0
0
0
0
8
8
8
0
8
0
4
0
0
4
0
0
4
0
0
8
8
16
0
0
0
0
20
20
16
8
8
8
8
8
8
8
8
50
2
1
1
1
1
16
32
32
32
0
8
8
0
8
8
8
8
0
17
0
0
0
0
0
8
4
8
0
8
8
8
8
4
4
4
16
0
0
0
0
0
8
8
3
3
4
8
8
2
24
0
0
1
1
32
3
11
32
1
16
16
16
0
0
0
8
16
16
16
0
8
8
8
0
4
0
2
8
4
4
4
4
4
4
10
10
10
8
8
8
8
0
16
16
16
8
0
8
16
16
1
0
8
0
0
1
16
16
16
16
16
0
42
4
4
4
1
17
16
0
0
0
24
16
0
0
8
8
0
0
8
0
0
2
2
2
8
0
0
0
48
8
8
0
0
1
1
8
8
8
8
8
8
8
8
0
0
0
0
0
2
8
8
16
1
16
24
24
24
0
1
1
0
0
0
0
8
0
0
0
40
8
0
0
4
0
0
2
0
0
0
8
16
0
0
0
8
8
8
0
1
4
8
32
32
0
24
16
8
4
0
8
8
8
8
0
4
8
48
48
48
48
48
48
1
0
4
16
0
0
0
16
16
0
8
4
0
8
8
8
8
0
0
8
16
1
0
0
0
16
0
0
0
0
24
24
24
24
24
24
0
8
8
1
1
2
4
32
0
8
8
8
0
16
16
16
0
0
8
0
0
0
0
0
0
8
16
16
16
16
16
8
8
8
8
8
0
2
0
0
0
8
8
8
8
8
8
8
16
0
1
1
1
1
1
4
4
9
0
0
16
0
0
0
0
0
0
16
2
2
8
8
8
0
0
4
4
8
8
0
1
9
8
0
16
0
4
4
4
0
1
0
4
0
0
8
8
8
8
8
8
0
0
40
0
2
2
2
8
8
4
17
0
25
8
0
0
8
8
36
8
8
8
4
0
0
0
0
2
47
2
8
0
2
0
0
1
8
8
0
0
4
8
16
16
0
4
4
4
0
10
0
0
0
24
8
32
32
0
32
32
0
0
4
0
4
4
4
0
0
28
8
4
0
0
8
0
32
32
32
3
0
24
8
12
16
0
4
4
0
2
0
8
16
16
16
16
8
8
0
0
0
0
24
0
0
0
0
9
32
32
8
16
2
0
1
1
4
4
0
0
8
0
0
0
8
24
0
8
8
0
16
0
0
0
0
0
8
8
0
8
8
0
0
3
0
0
0
16
9
9
16
48
8
0
20
2
8
12
12
16
0
0
0
4
8
8
0
4
4
4
4
2
2
0
0
0
0
16
16
16
0
16
8
16
16
0
30
22
8
1
4
8
4
8
0
0
4
4
0
0
1
32
32
32
0
1
0
0
16
8
0
0
0
24
8
20
20
56
24
32
32
8
8
8
0
14
6
16
0
3
3
3
16
3
3
0
0
8
0
0
0
0
0
0
0
0
0
16
0
0
0
16
1
16
16
0
0
16
16
0
0
4
4
8
0
0
4
8
8
0
0
0
0
0
0
8
8
24
0
0
16
0
0
0
0
0
0
8
8
8
8
8
0
0
4
6
4
8
0
12
0
0
9
16
1
0
0
4
8
8
8
32
0
0
0
0
0
0
0
0
8
8
2
2
2
0
0
8
0
1
8
8
8
8
0
0
8
8
8
8
8
8
8
8
0
0
0
0
4
4
8
8
0
30
0
16
16
16
16
16
16
19
19
8
24
8
39
39
0
4
16
9
4
4
0
0
2
1
8
32
0
0
0
0
16
8
8
0
0
8
0
8
20
20
20
0
8
1
16
16
18
24
16
11
8
0
8
0
1
1
0
0
16
16
8
4
28
0
4
24
20
4
4
16
16
2
2
2
2
2
16
1
1
0
8
8
8
8
0
8
0
2
2
2
0
0
0
0
0
0
0
0
8
8
8
8
8
0
0
0
0
16
0
0
8
8
21
8
0
0
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
1
1
1
0
0
8
0
0
0
0
0
16
0
16
16
0
16
16
8
17
17
17
17
0
0
16
16
0
0
0
0
0
0
0
16
2
0
32
16
16
8
8
2
2
0
8
8
1
0
8
8
0
0
8
8
16
16
16
17
1
0
8
16
16
8
8
8
0
16
16
0
16
16
16
0
0
2
2
0
0
8
8
0
16
0
0
2
4
4
8
0
0
0
0
8
8
1
1
8
8
8
4
16
16
16
16
0
2
2
2
1
1
1
0
0
0
4
0
0
1
0
0
8
8
8
0
0
8
8
8
16
0
4
4
4
0
0
0
8
8
4
4
20
0
0
16
0
16
16
0
0
0
0
0
2
19
2
16
16
16
0
4
0
0
1
8
8
1
1
1
8
0
48
20
32
0
0
0
8
8
8
8
8
8
8
8
8
48
0
1
1
1
20
12
16
0
0
0
2
0
1
8
28
8
0
17
0
16
0
0
24
1
1
1
2
8
0
0
0
1
0
0
0
16
25
9
16
0
0
0
0
0
8
0
1
0
2
0
0
0
0
0
40
8
12
0
0
0
0
0
40
8
8
32
21
16
1
21
8
8
8
4
2
2
17
8
0
12
8
8
0
16
8
16
16
1
1
16
16
16
18
0
1
1
1
8
8
0
0
16
1
0
16
16
0
8
0
0
4
4
4
0
18
25
25
4
4
0
8
16
16
4
4
4
0
0
0
16
16
16
0
0
8
8
8
8
8
8
8
0
0
8
8
8
3
16
0
8
4
20
20
20
0
52
52
1
1
8
8
24
1
1
0
0
0
0
0
0
0
0
0
8
8
33
16
0
8
8
8
8
8
8
0
0
0
0
16
16
16
0
0
0
0
4
4
0
0
16
16
16
8
8
1
2
2
0
0
8
8
8
8
8
0
0
2
8
16
4
0
0
0
16
16
24
24
16
24
28
28
8
8
1
1
1
20
0
0
16
16
16
0
8
8
0
0
8
16
16
8
24
6
0
1
0
20
0
1
17
8
8
0
0
0
16
0
0
24
24
0
8
4
4
0
0
8
8
24
8
0
8
16
16
16
16
16
16
0
0
0
0
8
8
0
0
9
9
9
0
16
0
8
8
8
8
8
21
21
21
8
16
0
0
1
8
0
20
0
16
16
16
1
0
0
0
8
8
8
8
8
16
0
12
0
0
0
0
2
2
2
2
16
16
16
16
16
16
16
8
8
0
0
0
8
8
16
4
16
0
16
16
0
0
0
16
16
16
16
16
16
16
0
0
16
8
0
16
4
16
0
8
8
8
0
1
16
16
16
16
32
32
0
0
16
16
0
0
16
14
4
4
0
8
8
8
8
8
8
20
0
16
16
16
16
8
0
24
24
0
0
0
16
0
0
0
8
9
0
0
8
8
8
0
1
0
16
0
0
16
16
16
24
0
8
8
0
1
2
2
8
8
4
4
4
0
0
0
0
8
1
0
1
1
0
0
4
4
8
1
8
8
8
0
8
4
4
4
4
0
0
0
8
8
8
8
8
8
16
4
8
12
8
8
4
0
0
0
0
0
0
0
8
0
0
16
16
16
20
16
0
0
8
17
1
8
24
8
8
8
16
25
16
0
0
8
1
0
0
0
0
0
0
4
0
4
0
0
0
0
0
0
0
8
8
8
8
0
0
16
16
8
0
4
1
1
25
16
1
1
2
2
2
0
4
4
4
13
4
16
16
8
0
2
2
0
0
8
8
6
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
1
8
0
8
8
8
24
0
16
16
8
2
2
2
0
16
0
16
0
0
2
4
2
24
8
0
0
0
56
56
56
8
8
8
8
0
0
0
8
8
8
8
8
9
16
36
0
0
0
16
0
0
0
8
2
2
0
4
24
24
24
8
0
0
4
4
4
0
8
8
0
0
4
0
0
16
0
9
0
0
8
0
0
0
0
0
1
1
1
0
0
0
0
0
0
24
8
8
8
8
0
16
0
8
8
8
16
16
16
0
0
16
16
16
0
16
8
0
0
0
0
0
0
0
0
0
0
4
4
6
6
1
0
0
6
12
8
4
4
0
2
16
16
16
16
16
16
0
0
1
8
0
1
1
1
1
1
0
0
8
8
8
0
16
16
0
3
0
0
0
8
8
0
8
8
0
0
0
0
0
8
8
0
2
2
8
16
16
16
0
0
8
0
0
2
18
2
8
16
4
28
0
0
8
8
8
8
16
16
16
0
0
0
4
16
8
25
0
0
0
8
1
24
0
0
0
8
8
1
0
0
0
0
0
0
8
16
16
16
0
0
4
1
1
1
8
1
1
1
4
4
8
0
16
0
4
8
1
8
8
8
8
4
0
0
0
0
0
0
16
0
0
2
24
24
16
16
16
16
8
1
16
24
24
0
0
4
0
4
1
16
16
16
16
8
8
8
9
9
8
1
16
5
0
16
8
8
2
2
2
2
1
0
1
4
8
1
8
8
16
0
16
16
8
8
8
16
0
1
16
0
16
16
16
8
0
0
24
24
24
8
16
0
20
0
0
8
8
0
0
4
0
0
8
8
1
1
1
1
1
8
8
4
8
16
16
8
8
8
8
8
8
8
0
0
0
1
28
16
16
16
16
0
16
16
16
16
8
0
0
16
12
8
8
0
0
0
0
0
0
0
0
0
8
8
0
8
8
0
0
24
0
16
0
0
16
0
0
0
0
10
16
8
0
0
0
16
16
0
0
26
10
4
4
8
16
4
4
0
0
0
0
0
8
0
0
0
4
0
0
0
0
24
8
8
8
17
16
0
48
0
0
0
0
16
8
8
0
8
0
8
8
0
15
15
15
15
15
1
0
0
0
0
0
25
0
0
4
0
24
8
8
4
8
0
1
6
0
0
16
0
1
0
24
8
0
0
1
16
16
0
4
4
4
0
0
0
0
56
8
0
16
16
16
0
0
0
0
20
8
4
0
0
8
8
8
24
24
16
16
16
4
8
8
8
16
0
0
2
2
0
0
0
0
16
0
0
0
0
0
0
0
16
16
8
0
0
16
0
0
16
0
0
0
0
0
0
4
0
0
0
0
0
10
4
1
1
0
8
0
0
0
16
16
0
0
0
8
0
2
2
0
0
0
0
4
16
2
2
2
4
4
8
0
2
20
20
16
0
8
8
8
0
8
8
8
0
0
8
8
8
16
0
16
12
12
12
1
8
0
16
16
8
8
16
0
16
8
8
8
0
0
8
8
0
0
0
32
32
0
0
4
16
16
8
0
16
0
0
0
0
8
12
12
16
16
24
0
0
8
4
4
4
4
4
8
8
8
8
8
8
8
8
28
28
8
8
8
1
16
16
0
0
0
0
0
0
0
0
7
0
0
0
16
0
16
0
4
0
8
0
0
4
4
4
8
16
0
0
0
16
16
8
8
0
0
0
0
0
0
8
0
16
16
0
2
4
16
8
0
0
0
0
4
16
8
0
0
0
16
0
16
0
40
0
0
8
8
8
0
0
0
4
4
16
16
16
16
8
8
8
0
16
0
16
25
0
0
0
8
10
10
8
0
1
0
0
0
0
16
0
0
0
8
8
0
8
8
40
0
0
24
24
8
1
4
4
4
0
1
4
0
8
8
0
0
0
1
1
0
0
9
8
8
8
2
0
8
8
8
8
16
16
0
0
0
1
0
16
0
0
0
0
8
8
8
0
7
15
16
0
2
16
16
4
16
26
8
0
0
2
24
24
4
8
8
4
0
8
8
0
0
0
0
0
0
8
8
8
8
8
24
8
1
1
4
4
0
4
2
2
0
0
0
0
0
16
8
8
8
8
0
0
4
8
4
4
4
4
4
4
0
0
0
0
16
4
4
6
0
0
1
1
0
0
16
0
26
8
33
33
0
0
36
36
0
0
0
16
0
8
8
1
1
0
8
8
8
4
4
4
4
1
0
6
6
6
16
8
57
0
0
0
2
0
0
16
16
8
8
8
8
0
0
0
4
4
32
32
4
7
7
4
0
16
0
0
0
0
0
4
4
0
0
8
0
32
0
16
16
8
8
8
20
4
8
8
16
0
4
4
4
8
8
10
0
0
0
0
0
0
0
8
8
0
0
0
8
8
8
0
0
8
8
8
8
1
0
8
8
8
0
2
2
16
0
0
0
0
8
8
0
0
4
8
4
8
0
0
0
8
8
8
0
12
12
4
4
0
24
8
8
0
0
12
0
8
8
8
0
0
27
0
1
1
1
29
4
4
18
18
18
18
18
0
0
0
0
0
16
8
16
0
8
0
0
0
2
4
11
0
0
0
0
0
0
8
8
8
8
8
32
32
32
0
0
26
21
21
19
30
0
4
0
0
0
2
2
4
4
0
0
20
12
12
8
8
8
0
2
1
0
0
0
2
0
8
0
0
0
8
8
8
4
0
8
8
8
8
2
4
8
16
16
16
16
0
8
0
8
8
0
0
24
6
0
8
8
0
0
0
0
16
16
4
8
0
8
0
10
8
8
8
8
0
8
2
2
2
4
4
0
0
6
6
6
6
0
0
0
12
4
2
2
2
9
0
16
0
0
0
16
8
8
4
4
0
8
16
0
16
16
16
0
0
40
32
32
0
0
0
0
0
0
0
8
8
8
8
8
1
1
1
0
0
8
0
0
8
8
11
11
11
32
0
8
0
16
8
4
16
0
0
0
0
24
0
1
1
4
4
4
0
16
8
16
8
8
8
8
8
8
8
2
10
2
2
8
8
8
8
8
18
0
8
8
8
1
21
4
4
4
0
16
16
0
8
8
0
0
0
0
0
8
8
8
8
8
22
8
8
12
0
8
8
0
0
0
8
1
32
0
34
0
12
8
0
0
8
4
4
0
4
4
0
2
8
0
0
16
8
8
8
8
2
2
8
14
0
0
1
0
0
0
0
16
0
28
28
0
0
0
16
16
0
0
0
0
0
16
8
1
12
8
8
1
0
0
0
0
0
0
0
16
16
16
0
2
2
1
0
16
16
1
16
8
4
4
4
8
0
0
0
0
20
20
20
8
8
8
0
0
0
16
11
8
9
8
8
0
16
16
16
8
8
0
8
8
24
24
24
0
0
0
0
16
16
16
16
1
0
4
20
20
20
20
8
0
8
8
0
19
8
1
1
0
32
32
32
32
0
2
2
2
8
1
1
1
0
0
0
0
16
16
8
8
8
2
2
2
2
8
16
0
0
0
8
0
0
8
0
0
0
0
0
0
0
0
0
0
0
17
16
4
0
0
8
8
16
0
18
18
2
0
8
0
0
0
8
16
16
8
1
1
0
0
8
8
8
8
8
8
8
8
2
27
27
0
0
16
34
0
8
12
16
0
0
12
12
12
12
12
8
8
8
0
4
0
4
4
24
0
0
0
16
16
16
19
17
2
0
8
8
8
0
0
0
16
16
4
4
16
0
0
0
1
8
4
0
0
5
0
2
0
0
0
9
1
16
0
12
12
12
8
8
0
0
4
12
0
0
0
0
0
8
0
0
0
0
8
8
0
8
16
16
16
16
0
8
16
16
16
8
8
8
0
12
12
8
8
2
0
0
0
0
16
1
16
0
2
0
0
8
16
8
8
0
0
0
1
1
1
1
1
1
1
0
0
8
4
0
2
0
0
8
8
6
0
8
0
8
0
2
8
16
8
0
0
4
0
4
4
4
4
0
0
0
16
16
0
0
16
0
26
8
0
8
8
8
8
8
0
0
28
28
8
28
0
16
16
16
18
8
0
8
8
8
0
0
17
17
4
0
2
0
0
0
0
8
0
24
24
4
8
16
16
14
0
1
0
1
1
1
1
1
0
0
0
2
2
8
16
8
8
8
1
1
1
8
2
2
0
0
1
1
9
0
0
16
10
10
0
0
0
8
16
0
0
20
20
1
1
0
16
16
8
4
4
0
8
8
0
0
8
8
20
4
4
0
8
16
16
16
16
16
16
2
0
4
20
0
0
0
0
8
3
3
0
1
1
1
0
0
10
10
26
16
9
8
8
8
0
1
0
16
16
57
8
16
26
26
8
16
0
0
0
4
20
20
48
4
4
8
8
8
16
8
0
16
0
8
8
8
24
8
8
16
8
8
8
1
8
8
8
8
4
4
4
16
20
20
20
20
20
34
0
24
0
0
16
24
16
13
0
1
48
48
0
0
0
1
4
4
8
8
8
8
8
8
24
24
0
0
0
2
0
0
0
0
0
0
8
8
0
1
24
24
19
16
8
8
8
8
24
24
0
0
1
16
16
0
16
16
24
0
16
1
1
8
8
8
8
8
0
16
0
0
0
0
24
24
24
24
4
4
4
0
0
0
0
0
0
0
0
0
0
4
6
8
0
0
8
0
0
0
0
16
8
8
8
8
0
16
9
0
8
0
8
8
1
4
12
4
8
0
0
0
0
0
0
0
25
25
2
2
2
8
0
16
16
16
1
8
0
24
8
4
8
0
8
8
8
16
1
8
8
8
0
4
20
5
5
16
0
8
32
0
8
0
4
16
24
25
8
8
8
40
0
26
16
0
4
0
4
4
0
0
8
8
0
0
2
0
0
0
0
12
1
8
8
8
17
17
0
0
0
16
16
0
0
0
0
0
8
8
8
8
0
0
0
0
16
24
24
16
16
16
16
0
8
16
0
24
0
12
12
12
2
22
16
16
0
1
42
42
42
8
0
8
8
8
8
0
16
8
0
16
16
2
0
0
16
16
16
16
0
4
16
8
8
0
0
0
16
16
16
0
0
0
8
0
0
16
8
17
17
16
16
0
33
0
0
8
8
0
0
0
0
0
0
1
1
8
0
16
0
0
8
8
8
8
0
4
4
8
0
0
0
0
8
24
16
16
16
0
17
0
2
8
1
1
0
0
6
6
0
0
1
2
0
0
2
18
18
16
0
0
0
26
8
8
8
0
0
0
0
0
0
8
0
8
32
32
16
16
16
16
16
0
0
0
0
2
16
0
0
0
0
0
10
0
8
0
4
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
4
4
0
6
16
16
16
0
8
8
8
8
8
8
8
32
8
16
16
28
8
24
8
8
8
8
8
0
16
1
4
4
4
8
16
0
0
0
0
0
24
24
24
8
8
16
4
8
0
0
0
0
0
1
1
0
0
4
4
16
16
8
8
8
8
0
16
1
0
0
1
1
1
1
1
0
5
5
2
16
0
0
8
8
0
1
8
16
0
0
0
0
0
0
32
8
0
8
8
0
0
0
8
4
16
16
16
0
16
0
0
0
8
0
16
0
0
20
0
0
0
8
8
8
0
8
8
8
24
24
24
0
0
0
16
0
16
8
18
0
20
0
2
0
16
0
0
0
8
16
8
8
8
0
0
16
0
0
10
2
16
0
0
0
0
0
8
0
8
8
8
0
0
8
0
0
0
0
0
0
0
0
0
0
8
8
2
4
4
0
8
8
1
1
0
0
0
0
8
4
34
16
16
0
0
8
0
0
0
8
8
0
8
8
2
6
48
8
16
16
16
8
0
1
1
0
4
4
8
0
11
16
0
0
9
0
0
0
0
0
8
4
8
16
32
0
0
16
0
1
8
8
8
20
8
20
16
0
0
8
0
0
0
0
8
8
8
4
4
4
16
0
0
0
16
0
0
0
0
8
8
0
0
8
4
4
8
17
4
4
2
2
1
0
0
1
1
12
8
16
0
8
0
0
0
2
7
7
16
0
24
0
0
0
20
1
0
8
16
0
2
16
8
2
0
17
8
8
16
0
0
0
8
0
0
0
0
0
0
0
8
8
0
2
2
2
2
8
16
0
8
16
0
2
2
2
16
0
0
1
4
0
8
0
16
4
0
8
0
0
0
0
0
0
0
8
8
8
8
8
8
16
5
5
4
0
0
16
16
16
16
4
4
0
0
0
0
24
2
0
0
0
0
22
0
6
2
0
0
0
0
0
0
0
0
0
1
8
8
2
2
2
2
2
2
0
8
0
0
4
0
0
0
0
0
0
0
16
16
0
20
25
1
0
0
0
8
8
16
16
8
0
4
8
8
1
0
0
0
0
8
8
8
8
8
16
8
0
8
0
8
8
1
1
1
1
18
16
8
0
0
0
8
0
1
8
8
8
8
8
0
8
8
8
8
8
8
8
8
0
0
0
0
1
1
16
16
16
16
16
16
0
0
27
0
0
16
16
0
0
8
0
0
0
0
0
8
16
0
0
0
16
16
0
16
16
16
2
2
2
2
24
1
33
1
1
1
2
2
0
0
0
0
16
16
1
0
4
12
8
8
0
0
0
0
8
8
8
8
1
0
0
0
8
8
0
0
0
0
0
1
1
8
8
8
8
8
16
0
1
0
32
32
8
4
16
16
0
0
0
0
8
8
8
8
16
0
8
8
0
16
8
8
0
0
0
33
0
0
0
16
0
0
0
0
0
1
1
1
8
0
0
6
8
2
0
8
8
8
0
0
1
1
1
8
0
8
20
20
18
8
8
16
0
0
0
0
0
16
0
0
8
2
8
0
0
9
9
9
0
0
0
8
16
8
0
0
16
8
1
4
0
0
0
0
0
0
0
1
1
8
8
8
1
4
0
0
0
16
33
33
8
1
0
0
0
8
8
8
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
32
16
24
0
24
0
1
1
21
0
0
0
0
0
2
2
2
8
16
16
16
8
0
8
0
0
20
16
0
16
0
0
0
8
8
8
2
2
4
4
4
0
0
0
11
8
0
16
16
8
16
16
32
32
32
32
32
8
0
0
0
0
0
0
8
8
0
0
0
16
16
16
16
0
0
0
16
0
0
0
0
0
2
57
16
8
12
6
6
6
0
8
16
16
16
16
16
8
8
0
16
4
16
8
2
24
16
8
8
8
8
8
0
8
16
8
0
0
0
22
0
8
38
0
0
0
0
0
1
1
1
0
8
8
0
0
0
8
8
8
0
0
0
0
8
56
0
2
0
0
0
0
0
0
0
0
8
8
16
16
16
0
2
0
2
8
8
0
8
8
0
0
0
16
8
0
0
16
0
8
8
1
8
8
0
0
0
0
0
0
33
16
8
32
13
1
0
1
1
1
0
4
0
0
24
24
0
8
8
0
0
12
8
0
8
8
0
0
0
0
0
8
4
4
0
0
0
0
0
8
16
2
2
0
8
8
0
9
0
0
0
0
4
0
0
0
0
0
0
0
48
2
8
8
16
8
8
8
8
1
1
0
0
0
8
8
13
8
8
8
16
8
8
0
0
0
3
3
8
8
0
0
8
2
25
25
25
16
16
16
8
0
2
0
16
10
0
16
0
0
18
18
0
4
8
0
0
0
0
0
0
0
16
16
16
16
0
5
0
1
1
1
0
8
16
0
0
0
0
0
0
0
0
4
0
0
8
0
16
16
16
0
8
8
8
0
0
0
0
0
44
0
0
48
1
8
16
0
0
0
0
12
12
0
8
8
0
0
0
0
1
1
0
0
20
0
8
4
4
1
4
8
0
0
2
16
16
16
1
1
0
4
0
0
0
0
8
16
16
16
16
16
16
24
0
0
40
0
8
0
8
8
0
8
8
0
16
24
8
8
2
2
16
0
0
0
0
16
8
8
0
0
33
33
16
18
0
0
8
16
8
2
0
0
1
4
0
0
8
8
0
29
0
0
16
0
0
0
0
4
4
8
8
8
0
21
2
0
8
8
8
24
24
0
16
0
0
0
0
12
12
0
0
0
2
4
0
0
16
16
0
8
0
0
8
16
16
28
16
0
8
12
0
0
8
16
0
8
0
0
0
16
16
16
16
16
6
16
16
16
16
16
0
8
8
0
16
0
0
0
0
16
8
0
8
8
8
8
24
16
0
0
8
8
8
24
8
16
8
8
24
0
4
0
2
2
0
16
9
9
0
0
8
8
7
29
16
8
8
8
8
9
9
9
9
9
9
8
24
8
8
8
8
2
2
16
16
16
0
8
8
8
0
40
32
2
8
8
8
0
1
8
0
2
4
0
8
8
16
16
16
16
16
4
16
22
20
20
20
0
0
0
0
24
0
0
8
4
4
0
0
8
12
8
16
8
8
16
0
20
20
4
4
4
4
8
8
8
8
1
1
4
4
4
1
6
8
8
36
12
12
0
0
21
1
8
0
0
0
0
16
0
8
8
0
25
25
8
8
8
0
0
8
8
16
16
4
32
0
0
29
0
8
0
8
24
24
0
0
0
1
0
8
0
0
0
8
8
14
16
0
4
0
0
32
0
0
0
8
8
8
8
0
0
16
4
4
24
0
0
0
1
1
8
0
0
0
4
16
0
0
8
8
8
0
1
16
16
8
8
0
16
8
8
0
8
16
48
8
8
25
0
8
8
8
0
0
20
20
0
0
0
0
0
0
8
8
8
9
24
8
8
28
0
0
56
0
6
40
0
16
8
8
8
24
24
8
8
8
8
1
1
16
0
0
1
1
8
2
2
8
0
16
16
16
4
0
16
16
40
0
0
1
0
0
32
40
8
16
16
16
16
16
21
21
8
16
8
0
0
8
0
20
0
0
0
0
12
0
0
16
0
0
0
0
3
0
0
0
32
0
0
0
0
0
0
0
35
8
8
8
0
0
0
8
8
0
16
1
32
6
0
0
0
0
8
8
16
16
0
0
58
0
0
16
16
0
0
28
16
0
48
0
8
8
0
0
24
24
8
0
0
8
8
8
8
0
1
8
0
0
40
56
40
40
0
8
0
0
0
18
18
0
0
16
18
1
0
8
8
8
28
28
49
29
29
29
29
29
29
29
29
0
0
8
16
0
0
4
4
0
0
0
0
0
0
8
0
16
16
16
16
8
0
0
0
8
8
0
0
0
4
8
1
0
8
16
16
0
0
0
0
16
0
8
0
0
0
0
44
8
0
0
0
0
0
8
0
16
1
0
6
6
8
0
0
12
12
0
0
8
20
0
8
8
1
8
8
8
1
2
6
6
8
8
2
2
8
9
16
8
0
16
16
8
26
2
2
8
32
0
8
0
16
16
16
16
16
16
16
0
0
4
0
24
24
17
0
8
0
8
8
0
0
20
0
0
0
16
0
0
0
8
0
0
8
8
4
4
0
0
1
3
0
6
2
0
8
8
16
16
16
16
16
0
22
8
8
8
0
0
26
0
0
16
0
16
32
0
4
22
16
16
0
1
8
8
8
8
8
49
49
4
24
24
29
4
8
0
0
8
36
0
0
0
0
8
0
0
8
9
0
0
16
0
13
0
0
16
16
2
2
2
2
0
0
8
8
8
0
16
16
22
0
0
0
16
16
2
4
0
0
0
8
0
0
0
8
8
0
0
32
32
0
4
4
8
8
0
0
8
8
0
0
4
0
0
2
0
8
1
0
0
0
8
8
2
2
11
0
16
0
0
16
9
2
8
0
0
8
0
1
0
8
1
9
0
8
0
0
4
0
26
1
1
16
0
8
8
16
0
8
8
16
0
0
0
16
16
1
1
1
1
1
1
0
0
2
0
0
0
0
1
16
0
8
8
18
0
0
0
0
0
0
16
16
2
2
8
8
0
16
8
16
0
4
4
1
4
0
0
4
4
4
4
0
0
16
0
16
4
16
0
4
0
0
2
0
0
8
24
0
0
0
8
0
0
16
2
13
13
8
30
24
0
0
8
50
16
0
0
8
8
8
16
16
8
8
8
33
0
8
8
8
8
4
4
24
0
0
0
8
16
16
0
8
12
16
16
16
8
4
4
16
0
16
16
16
16
16
0
0
0
0
0
0
0
0
16
8
4
16
16
16
0
10
12
0
16
0
0
1
1
1
0
0
8
8
0
16
2
16
2
0
0
24
8
0
0
0
20
20
0
8
0
0
0
0
0
0
0
1
1
16
0
0
0
0
16
0
10
0
0
0
0
0
0
8
8
0
0
0
16
17
1
0
30
24
24
16
16
8
8
8
8
8
0
0
24
0
0
0
2
2
0
16
16
16
16
33
8
4
12
8
8
8
0
0
0
0
0
1
1
8
8
16
0
0
4
0
24
0
8
0
16
16
16
8
0
8
1
0
0
0
0
0
8
8
0
2
0
0
0
16
8
0
8
56
8
8
8
2
0
0
20
0
0
0
18
8
0
0
0
0
4
8
8
8
0
3
8
4
16
0
0
0
8
17
0
20
8
8
12
13
1
0
0
12
16
16
16
16
16
0
0
0
8
0
0
0
0
8
8
0
8
0
9
30
8
32
4
0
4
8
0
0
0
0
16
16
16
16
0
8
0
8
8
8
8
8
0
4
0
0
2
2
2
0
8
8
24
16
16
0
8
16
16
16
4
0
4
4
0
0
0
8
0
0
4
1
0
4
4
24
8
0
0
8
0
0
8
8
8
0
4
8
8
8
16
1
17
16
4
4
16
0
0
24
0
8
8
8
0
8
32
0
0
0
0
0
0
0
4
4
12
4
0
0
0
0
0
0
0
0
0
8
0
8
0
0
0
0
0
8
8
8
1
16
0
4
4
24
0
0
16
4
8
8
37
37
16
16
0
0
0
0
4
8
8
8
0
8
8
4
8
8
8
8
18
0
0
13
0
0
0
8
0
1
1
1
0
0
0
8
0
0
12
8
0
0
9
9
18
18
18
18
2
0
0
0
0
16
16
8
2
8
0
0
16
16
8
8
8
8
8
8
0
0
1
1
0
0
16
16
16
1
4
4
0
8
8
8
8
8
0
0
0
0
24
8
32
32
0
0
0
0
0
2
1
1
17
17
17
0
4
0
16
8
8
8
0
0
0
0
0
0
8
12
0
0
0
16
8
8
0
8
0
0
2
8
8
8
0
8
16
0
24
4
2
16
0
0
8
0
16
16
0
8
0
4
8
8
4
16
18
16
0
0
0
0
0
0
0
16
16
16
0
20
4
4
4
0
4
8
8
0
0
0
0
8
8
16
16
0
0
8
0
8
8
8
0
0
8
0
0
0
0
0
4
8
8
0
0
0
0
0
0
0
0
0
0
0
8
8
0
8
42
4
8
0
0
0
0
8
8
4
0
0
0
2
2
8
0
1
8
1
8
8
0
0
0
0
0
8
0
16
16
0
8
8
0
2
0
8
0
0
58
0
16
0
8
0
0
0
0
16
0
0
4
4
0
8
0
8
1
1
0
0
2
2
0
0
16
25
8
8
8
8
0
0
8
0
4
16
16
4
4
4
16
4
2
2
8
24
24
24
24
24
24
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
8
0
0
8
8
0
4
4
4
8
0
6
0
16
24
0
0
8
8
0
2
0
0
0
4
4
16
16
8
21
0
8
0
0
18
0
0
4
4
28
0
0
0
0
8
0
6
0
3
0
0
0
0
8
8
8
0
0
0
4
1
16
16
0
0
8
0
0
8
8
8
8
8
8
8
8
0
0
0
12
0
0
0
1
1
16
0
8
24
16
16
16
4
4
0
0
0
0
8
8
0
2
16
2
2
8
8
8
16
17
2
0
0
0
0
4
16
0
0
0
0
0
16
8
8
8
8
12
12
8
8
0
0
0
0
0
8
0
0
0
8
0
0
0
0
8
8
8
8
8
0
8
8
8
8
8
0
8
0
0
12
18
0
0
8
0
2
16
16
0
6
8
16
0
0
0
0
0
18
8
0
0
1
1
6
16
8
8
8
0
0
0
0
4
0
0
8
0
0
0
0
0
8
8
0
0
8
8
16
28
20
8
8
0
0
0
0
16
10
16
6
0
0
16
16
16
16
16
0
16
0
0
16
17
16
16
8
8
8
1
0
0
0
0
0
0
16
16
0
57
57
16
16
16
16
4
8
0
8
8
0
0
0
0
4
16
0
0
18
0
0
0
8
0
8
8
16
16
2
2
2
2
2
2
2
2
4
4
0
0
4
0
2
8
2
16
16
16
0
0
0
0
1
8
0
2
0
8
8
8
8
24
24
3
0
0
8
16
0
8
8
8
8
0
0
2
2
8
0
0
0
24
16
0
2
0
0
8
8
8
8
8
0
0
0
4
8
16
16
1
1
16
0
0
0
0
0
25
16
8
4
4
16
0
0
0
0
4
0
4
4
0
0
0
16
8
8
0
0
8
0
16
16
16
18
32
0
8
0
8
8
16
16
28
0
0
25
8
8
8
8
8
8
0
8
0
8
0
0
16
8
8
8
8
0
1
16
0
0
0
0
8
8
0
0
0
4
4
0
0
0
0
0
0
16
0
0
16
0
0
8
0
8
8
8
8
8
0
0
0
0
8
8
8
9
4
0
8
8
0
0
13
2
8
8
8
8
0
8
8
0
28
17
16
8
8
8
0
0
4
4
8
0
8
8
2
2
2
0
8
8
0
4
17
16
16
0
0
4
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
17
20
0
16
2
0
0
9
9
9
4
0
0
0
8
17
8
0
9
0
12
8
4
4
0
2
2
0
0
16
0
24
26
0
0
0
8
8
8
8
8
0
0
0
0
0
0
0
0
8
4
8
0
48
19
19
19
19
0
0
0
8
8
16
16
16
8
8
0
1
0
0
0
0
18
0
0
0
2
2
2
0
24
16
4
0
0
0
0
0
0
49
0
10
0
8
4
4
8
8
8
4
4
16
0
0
6
21
21
0
8
8
16
16
0
0
2
12
0
8
0
0
0
0
6
0
0
4
4
18
16
0
34
16
16
0
0
17
2
2
0
0
0
0
8
1
0
8
0
0
0
8
0
0
8
16
24
8
24
24
0
32
16
8
8
8
0
0
8
0
0
0
0
1
1
8
8
8
16
16
8
0
0
1
0
0
0
8
32
8
8
8
0
0
0
8
24
0
16
25
8
0
0
8
0
0
16
16
0
6
4
4
32
32
0
0
8
8
16
0
0
0
0
0
1
2
12
8
8
0
8
0
0
0
0
8
8
8
8
0
8
4
4
4
4
4
16
24
9
8
8
8
8
8
0
16
0
0
4
16
16
16
0
0
0
28
8
8
0
0
0
0
0
16
16
1
10
8
0
0
0
1
8
0
9
1
0
0
0
0
8
8
0
0
8
0
2
2
2
4
8
4
8
12
12
24
0
0
32
32
8
8
0
0
0
0
4
0
8
8
4
0
16
0
0
4
5
5
0
24
4
4
4
16
0
0
8
8
1
3
0
8
16
16
0
24
0
0
0
8
0
9
4
0
0
0
8
16
16
16
0
1
9
9
9
0
0
16
16
16
16
16
16
16
16
16
2
2
0
0
8
1
8
9
0
16
0
0
8
0
0
0
0
0
8
8
8
8
20
16
0
0
0
0
0
0
8
8
8
0
0
0
0
4
0
16
0
0
0
0
8
2
1
8
41
8
20
0
0
0
8
4
2
6
6
0
8
8
0
4
0
0
16
16
8
8
0
0
0
8
0
16
16
1
0
8
0
8
8
8
8
16
0
0
0
8
8
8
0
0
1
0
0
0
1
8
8
8
2
2
2
8
8
8
0
0
0
0
0
0
0
0
8
8
8
0
16
8
8
0
9
9
0
0
8
8
4
1
1
0
0
0
0
18
8
20
6
0
0
0
0
0
0
10
16
0
0
0
0
0
24
8
16
16
16
8
0
0
0
0
0
16
16
0
0
0
4
0
0
0
0
0
24
24
0
0
0
0
0
0
0
8
8
8
8
8
24
12
8
0
0
0
24
16
0
0
0
0
0
0
1
3
1
1
0
0
4
8
2
25
0
16
25
25
25
0
8
24
24
24
32
32
0
0
0
0
0
0
0
0
0
0
16
0
0
0
8
18
18
0
8
8
8
0
0
12
16
16
0
0
0
0
0
0
8
4
4
4
8
8
0
0
0
0
0
8
0
8
8
8
2
2
0
10
0
0
2
4
4
0
8
16
0
16
16
0
32
20
0
0
0
0
0
0
0
8
8
0
8
1
24
8
8
8
8
8
8
8
0
0
48
16
8
0
0
0
4
24
8
8
1
1
1
1
8
25
8
8
8
8
8
0
0
0
32
0
0
2
41
41
8
0
0
0
0
0
16
2
0
4
2
0
0
1
1
16
8
16
4
4
8
8
8
8
8
8
8
0
1
1
0
2
0
8
0
0
8
0
2
8
8
0
0
2
0
0
0
0
4
2
8
0
0
16
0
8
8
0
0
1
1
1
2
0
8
0
0
0
0
48
16
0
4
8
24
0
0
2
18
1
1
1
1
4
16
16
16
8
0
0
0
0
4
4
8
8
8
0
0
0
18
0
8
0
0
0
0
0
0
4
4
1
1
8
8
4
0
0
0
4
10
4
32
0
0
24
24
8
8
8
8
1
1
1
32
0
0
56
8
0
8
4
4
4
0
0
1
0
0
0
0
0
16
16
8
0
8
0
0
16
0
8
8
0
0
10
4
0
4
16
16
0
8
0
0
8
0
0
8
0
0
1
0
8
8
8
8
32
8
24
8
0
0
0
0
8
8
8
0
4
9
4
0
0
0
32
16
16
8
16
0
0
0
0
12
16
16
0
0
8
8
16
16
0
0
0
0
0
8
0
0
0
48
8
0
0
8
16
16
16
4
0
0
0
16
4
4
0
4
0
0
0
0
8
0
0
0
0
8
0
0
8
4
0
32
0
0
52
16
0
20
0
0
16
0
8
24
0
8
3
16
0
0
0
0
0
8
8
0
8
20
0
0
8
8
0
0
0
0
0
0
0
0
16
16
16
4
0
8
8
8
0
16
8
0
0
0
8
8
8
8
0
0
1
0
8
8
8
0
0
0
0
28
28
2
32
0
0
0
20
16
0
0
16
16
0
0
0
16
0
0
16
0
0
16
16
20
0
0
8
8
0
0
0
8
8
8
0
0
0
0
0
0
0
2
4
2
0
8
0
8
0
9
0
0
4
0
0
0
16
0
0
0
0
0
4
4
0
8
8
8
0
0
0
8
0
0
16
0
0
0
20
8
0
0
0
8
30
30
0
0
0
0
0
0
0
0
16
16
0
0
0
0
1
1
8
0
0
16
16
16
16
0
8
8
8
0
0
0
0
8
8
8
0
0
16
0
0
0
24
18
0
0
25
12
0
8
0
16
0
0
8
2
16
8
8
0
0
0
0
0
16
0
0
1
8
0
2
8
2
16
16
8
8
48
8
8
8
0
0
4
4
0
0
0
8
0
8
8
8
8
8
0
0
0
0
0
0
0
0
8
8
0
0
0
0
8
0
8
0
0
0
16
0
0
4
16
16
16
17
16
0
4
0
0
2
16
16
16
16
0
0
0
0
16
18
18
8
8
16
8
4
0
0
0
16
16
0
0
0
0
0
24
24
8
8
8
8
8
8
32
8
18
16
16
8
32
9
0
0
16
8
8
8
16
16
16
8
8
0
0
8
8
0
0
16
0
0
8
8
8
8
0
8
0
0
8
0
1
1
0
8
8
12
8
8
0
0
16
0
0
8
0
0
8
0
8
8
8
0
0
0
0
8
16
8
16
0
16
16
8
4
4
0
0
16
16
0
0
0
0
8
16
16
8
16
16
16
0
0
0
4
12
12
0
0
0
0
0
0
0
0
0
0
0
16
16
4
16
16
0
0
0
4
8
32
32
32
32
16
0
0
0
0
2
0
24
0
0
4
4
8
0
0
8
8
8
0
0
0
0
0
0
0
8
8
8
8
4
0
0
8
0
0
0
0
2
2
40
4
0
0
0
0
8
0
8
8
8
0
8
0
4
8
3
0
0
0
8
8
8
1
8
0
4
4
0
0
16
16
16
8
16
0
8
8
4
0
0
0
0
2
0
0
0
8
16
8
2
20
0
0
0
8
8
8
0
0
0
8
8
0
0
0
0
0
0
8
8
8
0
16
24
8
8
0
9
8
8
0
0
4
16
16
0
0
17
0
16
16
16
4
24
8
4
1
1
0
0
16
0
0
0
0
0
0
16
16
16
0
24
24
0
0
0
0
2
2
0
8
8
4
50
16
0
1
0
0
8
4
25
0
0
0
4
8
24
24
8
0
0
0
1
1
1
1
0
8
0
0
8
2
2
2
8
0
0
0
16
8
0
0
0
0
0
0
16
16
16
18
0
0
0
0
8
8
0
18
16
8
0
24
0
0
0
0
0
8
8
0
0
0
0
44
16
0
0
8
8
2
32
1
1
1
1
1
1
8
8
8
8
8
0
16
0
0
8
8
8
0
0
8
0
0
4
8
8
24
16
8
0
32
3
14
0
16
0
0
0
0
0
0
0
4
4
4
4
21
0
0
6
0
0
61
61
0
0
0
0
21
21
17
17
17
17
17
32
32
32
0
2
0
8
0
8
2
30
30
30
1
1
0
16
16
0
0
2
8
4
8
32
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
8
4
4
0
0
0
0
0
24
0
0
0
0
0
8
8
8
8
8
0
16
16
16
0
16
32
32
24
0
8
12
12
0
0
0
16
0
17
17
0
0
9
9
8
8
8
8
0
0
12
12
8
0
0
16
0
0
0
0
0
2
2
2
4
0
16
4
4
4
4
0
8
4
21
4
4
16
0
0
0
0
1
1
0
0
0
0
4
4
4
0
4
0
0
0
0
0
0
0
12
12
1
20
0
49
49
20
0
0
0
0
0
9
0
0
0
0
0
0
8
0
0
0
8
8
0
8
0
0
2
2
2
30
8
8
8
0
0
16
16
8
16
1
0
0
0
16
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
2
0
0
0
0
0
0
8
8
4
2
4
16
1
1
0
8
0
8
0
0
8
0
0
8
8
0
0
4
8
8
8
4
4
4
4
4
0
0
0
1
0
0
0
0
0
0
0
16
4
16
4
0
1
4
0
24
8
0
0
0
0
0
0
0
0
0
1
2
2
4
0
0
0
16
0
8
0
8
0
0
0
8
4
0
0
0
8
8
1
1
1
0
0
0
0
8
8
8
8
8
0
8
8
8
8
8
0
0
16
0
24
8
0
8
8
8
6
32
32
24
0
0
0
8
32
0
8
16
9
2
2
8
8
8
8
0
16
16
16
0
4
4
1
1
1
16
4
0
0
12
12
16
16
0
0
0
0
0
0
16
42
0
8
0
0
0
0
0
0
2
2
2
16
8
8
0
2
0
0
2
2
2
2
0
0
8
0
28
28
0
1
1
0
16
0
0
0
0
16
8
0
4
0
0
9
0
0
0
16
16
8
8
0
40
40
9
1
8
2
2
2
2
0
0
0
0
0
0
8
8
8
0
0
18
18
18
0
0
0
0
0
0
4
16
16
0
8
15
8
0
4
0
4
0
0
0
0
0
1
1
24
1
52
52
0
2
0
0
24
24
24
0
0
0
8
0
0
16
8
0
0
0
0
1
1
0
8
8
8
0
2
24
8
8
16
20
40
32
0
0
0
16
8
0
4
0
0
16
0
0
0
0
0
24
8
0
8
8
16
16
8
8
0
0
0
0
16
16
57
8
0
0
8
48
48
48
48
4
4
8
8
0
0
0
0
0
0
0
16
0
0
0
0
16
16
0
9
1
16
4
0
0
0
0
0
0
13
5
0
0
0
0
16
16
0
40
0
8
8
8
8
8
8
0
8
8
8
8
8
16
16
0
2
2
2
0
0
0
0
0
5
0
16
16
16
8
0
0
16
16
16
8
8
2
0
0
0
4
4
4
16
0
16
16
0
0
0
0
0
0
6
6
8
0
0
0
0
0
0
16
0
0
16
8
0
4
0
0
16
16
16
0
16
16
16
16
16
16
16
16
16
8
8
8
8
0
0
8
4
1
60
8
8
0
0
0
0
0
16
17
17
8
1
0
0
0
0
0
0
8
24
0
0
0
4
4
4
24
4
4
0
24
0
0
0
20
0
0
0
0
0
45
4
0
2
3
0
0
0
0
0
0
0
0
16
2
0
0
16
16
0
0
0
3
0
8
8
8
1
0
40
8
0
0
16
4
0
8
0
24
8
0
0
8
8
16
8
8
0
33
16
8
2
0
17
0
16
16
0
0
0
4
8
16
8
2
2
2
0
25
0
0
0
8
16
0
0
0
0
8
0
4
8
14
0
0
16
16
16
12
0
2
2
2
0
24
17
20
8
10
16
16
16
16
16
16
32
0
2
2
2
0
8
0
4
4
32
8
8
0
8
8
8
8
0
0
0
0
0
4
0
4
0
10
0
8
0
0
0
0
0
0
0
8
2
16
16
0
0
0
0
0
0
1
8
20
0
0
0
0
16
3
20
8
8
16
16
6
8
0
4
0
16
24
24
4
2
2
8
8
0
8
8
12
8
8
0
0
16
9
8
0
8
8
8
0
0
0
0
0
8
1
20
0
0
0
8
0
0
8
8
8
8
8
4
4
2
0
0
0
0
21
0
0
0
0
0
8
8
0
8
12
8
8
2
9
1
8
8
8
0
8
2
0
0
0
0
8
4
0
0
0
8
16
14
0
0
0
1
8
8
16
0
0
18
18
4
4
4
8
0
0
8
4
4
0
0
0
8
5
16
16
4
16
16
16
0
0
0
0
3
0
0
0
0
16
4
4
4
0
0
5
5
5
5
5
4
4
4
4
0
2
4
4
21
21
8
8
8
16
16
16
0
3
1
12
8
0
0
4
4
4
0
4
0
12
4
0
0
2
0
0
20
20
1
1
8
36
36
27
8
16
24
0
0
48
48
4
9
8
16
16
0
0
0
4
8
0
8
4
4
0
0
16
8
16
8
0
0
0
2
0
0
0
0
0
17
0
0
0
0
0
0
0
0
0
4
4
0
0
16
16
16
16
4
8
0
0
0
8
8
8
8
8
8
8
0
16
16
2
2
10
10
10
0
8
8
0
0
6
2
2
0
0
20
0
0
8
0
0
0
0
4
24
0
2
0
16
16
16
0
0
0
0
0
16
0
0
4
0
0
32
32
32
8
8
8
8
2
8
0
16
0
8
0
0
4
8
8
16
0
8
8
0
16
1
0
36
0
10
0
0
0
0
0
8
8
21
32
32
32
4
8
8
8
16
0
8
8
16
0
8
16
2
2
0
0
16
16
0
20
20
4
8
8
0
0
16
0
6
6
20
20
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
8
8
8
8
0
0
0
0
0
0
0
4
4
4
4
0
0
0
0
0
4
0
24
8
8
0
0
0
0
0
0
0
0
0
0
0
0
32
32
16
16
16
0
8
0
0
8
8
16
0
0
2
16
16
16
16
16
0
0
0
8
4
0
8
16
8
0
0
0
0
2
0
0
8
4
4
2
0
36
32
32
0
8
8
4
0
8
16
0
2
0
4
4
0
0
0
0
0
0
2
8
1
0
8
0
0
2
8
2
2
0
0
0
0
8
0
0
0
0
24
8
16
16
4
0
8
0
0
0
0
1
16
8
0
0
24
8
8
16
16
16
8
0
0
24
0
0
0
0
0
0
16
0
0
0
0
0
2
2
2
0
8
4
0
9
16
16
8
8
8
1
0
2
8
8
8
8
0
8
0
0
0
4
4
4
4
0
8
18
8
8
8
8
8
0
0
0
0
0
0
0
2
0
0
0
8
0
0
0
0
8
56
8
8
8
8
12
0
4
0
0
0
0
0
21
0
16
20
20
0
0
0
0
1
0
0
0
16
0
0
0
1
1
4
4
4
0
16
1
0
0
0
0
0
16
0
0
0
16
16
16
16
0
4
0
0
0
0
16
16
0
0
0
8
0
8
8
16
0
13
0
0
8
8
8
0
36
32
16
0
0
0
8
0
0
0
0
1
1
0
0
8
0
2
16
16
16
8
8
8
0
0
2
8
18
8
0
0
16
0
8
8
8
0
0
1
1
0
8
8
24
24
24
24
0
0
0
16
1
0
0
16
2
2
8
8
8
8
8
4
0
2
0
8
0
0
20
20
4
1
21
0
0
32
0
0
0
0
0
1
32
0
0
8
4
0
16
16
16
0
16
16
0
8
0
0
24
8
0
50
4
4
0
0
1
36
8
8
0
0
0
8
0
0
8
0
0
32
32
0
4
0
0
0
0
8
8
0
0
0
16
25
25
0
16
1
1
0
16
16
16
16
16
16
10
10
1
8
0
0
24
20
0
16
24
16
16
16
16
0
0
8
8
8
0
0
2
16
16
16
0
16
16
13
0
0
0
8
16
0
0
0
0
0
0
0
9
16
8
8
0
8
8
0
8
16
0
0
2
0
0
0
0
0
1
2
2
20
0
8
0
32
32
2
2
2
0
16
9
0
0
0
0
4
4
4
16
0
32
2
2
0
0
1
0
16
2
1
0
16
4
8
8
8
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
8
8
0
0
0
0
8
0
0
0
0
8
8
8
0
16
16
8
8
8
0
44
0
0
0
0
0
0
0
28
28
28
28
28
28
30
28
1
1
14
48
48
48
0
2
1
32
0
0
0
0
0
0
16
8
1
0
16
16
12
26
0
0
0
8
0
0
0
8
8
8
8
16
0
0
0
0
0
2
0
0
0
6
0
8
8
0
0
0
0
6
8
0
0
0
8
4
0
0
4
24
8
1
0
0
0
6
16
16
8
8
8
8
0
0
8
8
8
8
8
8
0
8
0
0
0
1
32
8
2
0
2
2
2
2
0
0
0
4
4
4
0
8
8
0
0
16
4
0
0
0
8
0
8
4
4
4
4
28
28
0
8
16
16
15
32
0
0
1
1
0
0
0
0
0
0
0
0
1
8
8
0
8
8
2
0
24
0
8
0
0
1
0
16
0
8
8
8
1
8
16
0
0
2
16
16
0
8
2
2
2
0
3
2
0
8
8
0
0
0
8
8
16
16
20
20
0
0
0
16
16
16
24
20
0
8
8
8
8
0
24
4
8
0
16
0
0
0
16
8
0
8
0
8
12
8
0
8
0
0
8
0
0
8
16
16
17
19
2
0
0
0
8
8
0
16
33
0
0
8
0
0
36
0
0
0
16
16
16
16
16
0
0
25
25
24
0
0
0
1
2
18
2
8
16
8
0
0
4
0
16
16
0
0
16
0
8
0
4
0
0
4
1
16
16
0
0
0
0
4
4
8
34
8
16
16
0
8
8
1
1
36
0
18
32
32
24
0
8
8
8
36
36
36
16
1
8
8
8
0
16
16
0
0
0
4
4
16
10
0
0
0
0
0
0
0
0
0
16
0
8
8
8
16
3
0
0
1
0
8
0
0
8
0
0
0
0
16
16
2
2
0
8
0
16
14
10
10
10
0
0
0
8
8
8
8
8
8
0
0
0
0
8
12
8
3
31
31
0
0
0
16
16
16
16
16
16
16
0
8
16
32
32
32
4
8
8
8
8
4
0
0
0
0
0
8
2
2
2
0
0
1
8
8
8
16
0
0
0
0
20
20
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
8
0
16
8
0
1
8
16
16
16
0
0
0
0
0
0
0
26
0
0
25
8
8
8
16
0
0
0
0
0
10
10
0
8
8
8
8
40
0
0
4
8
8
8
8
16
8
4
4
4
2
21
16
0
0
0
2
16
8
8
0
8
16
16
16
16
2
0
0
0
8
0
0
0
30
30
30
30
30
0
0
0
20
20
8
0
12
0
0
24
0
8
0
0
0
1
1
1
2
8
8
0
16
8
0
24
0
8
8
0
24
0
0
0
8
8
8
16
16
0
16
16
8
0
0
8
0
8
0
0
8
8
16
4
4
0
1
22
8
8
8
0
0
0
0
0
0
2
0
0
24
24
8
0
0
0
0
0
8
0
8
0
16
16
8
8
8
8
8
8
4
8
0
0
8
0
24
4
8
8
0
0
0
8
8
8
8
1
4
4
16
18
0
0
0
0
0
0
0
8
16
18
16
0
8
1
1
1
4
0
0
1
1
16
8
8
8
0
0
0
8
8
17
8
8
0
20
16
16
0
0
0
0
8
8
0
16
8
24
0
0
8
16
0
0
8
4
4
0
0
0
0
0
0
0
2
0
8
16
16
8
0
0
8
0
0
16
0
4
4
0
0
0
0
0
0
0
0
0
0
8
18
0
0
32
32
32
32
0
0
0
0
0
0
0
0
16
16
16
16
0
0
8
41
9
9
0
0
0
6
0
0
0
8
8
0
0
8
0
0
0
16
16
0
0
0
0
0
0
0
0
8
1
1
1
1
8
8
8
2
1
8
0
0
0
0
0
2
16
16
16
16
4
0
0
0
0
0
0
8
8
8
8
0
0
0
0
0
0
0
0
0
8
0
4
1
0
0
0
4
1
0
0
8
8
16
16
16
0
16
0
8
8
8
8
0
0
0
0
0
0
16
0
0
0
16
0
16
0
0
0
0
0
16
16
1
0
2
0
0
0
0
0
0
8
8
1
8
16
16
1
1
0
0
8
0
18
18
1
18
18
18
18
16
16
20
16
16
16
8
8
0
0
8
0
0
0
0
0
8
16
0
0
1
33
16
0
32
0
0
0
0
8
4
0
16
16
0
8
8
0
1
1
0
8
8
0
8
0
0
12
0
0
0
2
2
0
48
4
0
2
0
0
16
16
24
16
8
0
0
4
0
8
0
0
0
2
0
0
0
8
8
24
0
0
0
8
0
40
40
0
0
0
8
0
0
8
8
8
8
4
8
8
0
0
0
8
20
2
0
16
4
4
8
0
2
2
8
21
0
0
0
8
8
32
32
8
8
4
0
0
4
0
8
4
0
0
13
0
16
16
0
0
0
0
16
16
16
6
6
16
0
4
16
16
16
8
8
8
8
16
16
16
7
4
0
16
0
24
24
21
0
0
8
8
0
4
4
4
8
0
0
0
0
16
0
0
40
40
2
4
0
0
0
0
8
0
0
0
0
0
0
2
0
0
20
16
16
4
16
0
0
2
0
8
24
0
0
0
0
0
8
8
8
0
8
0
0
0
16
16
24
2
16
1
1
1
8
8
8
8
8
0
0
0
0
0
0
0
16
8
0
8
1
0
0
0
20
16
0
0
0
35
4
4
0
0
0
0
8
0
16
4
0
0
0
0
4
16
24
8
0
0
36
3
8
0
8
0
2
0
0
0
0
0
0
1
0
0
0
8
8
16
16
8
4
8
8
0
4
4
8
8
16
0
0
0
0
4
0
0
4
20
16
0
0
0
0
48
48
0
0
0
0
8
8
0
2
8
0
0
0
0
0
0
1
10
0
1
1
16
8
8
0
0
16
4
2
0
2
8
0
20
16
16
0
1
9
9
0
0
0
6
0
0
4
0
0
0
0
0
0
1
0
0
0
8
8
0
0
0
0
4
8
2
0
0
16
8
0
0
20
20
0
14
14
12
35
35
2
4
4
4
0
0
0
16
0
8
8
8
4
0
0
0
0
0
0
0
2
2
0
0
0
0
0
0
0
8
8
8
0
2
20
0
0
0
24
8
0
8
0
0
8
0
0
8
8
16
16
1
4
12
0
0
0
1
0
0
0
8
0
16
24
1
16
16
0
0
0
8
0
0
8
8
8
8
8
6
4
4
0
0
0
0
8
8
8
8
4
0
8
0
0
10
0
0
0
0
0
2
0
8
8
0
8
16
0
0
16
0
2
0
0
0
0
0
0
0
0
0
0
2
2
16
16
18
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
16
0
0
1
1
1
0
8
0
0
0
40
40
0
0
8
1
1
1
1
32
0
32
40
0
1
1
0
1
1
0
0
2
16
0
0
0
8
0
0
0
8
8
8
8
8
8
2
28
28
28
4
4
4
4
0
0
0
0
8
8
8
24
24
0
21
4
0
0
0
0
2
20
20
1
1
0
18
16
0
0
8
8
0
8
8
4
0
0
0
12
0
4
0
0
8
8
1
22
22
0
0
8
8
48
48
17
18
1
0
0
4
48
0
0
0
1
8
17
0
0
0
4
8
4
8
0
1
0
0
0
0
0
0
0
8
4
4
0
0
8
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
8
8
4
0
4
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
4
4
4
8
0
16
0
8
3
3
16
16
0
0
0
0
4
4
0
0
0
0
0
20
45
45
44
0
0
0
0
4
4
8
2
12
12
16
0
16
0
0
0
0
0
0
16
0
8
0
0
23
1
1
1
1
1
1
0
0
0
0
0
12
0
0
8
0
18
0
0
4
0
0
1
16
16
18
18
1
17
0
0
0
9
0
0
4
4
0
0
0
0
0
2
2
32
4
4
4
4
20
4
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
8
8
0
1
1
8
8
8
0
8
0
0
0
0
0
4
0
36
0
0
0
0
0
0
8
8
8
0
0
8
16
0
0
0
0
0
0
1
0
0
8
0
8
8
8
8
0
0
0
0
0
8
0
4
4
4
4
22
1
0
8
8
0
6
0
32
8
16
8
0
0
3
0
16
0
0
0
16
0
16
16
0
0
10
10
0
0
0
8
8
0
0
8
8
8
0
0
0
16
8
0
10
0
8
0
0
0
0
0
0
16
16
1
1
0
0
0
0
0
0
8
4
4
0
0
3
3
0
0
3
0
0
0
8
17
8
8
8
0
0
4
0
0
0
0
0
0
8
8
22
26
0
8
16
18
18
4
4
2
10
4
0
0
1
0
0
0
0
0
0
24
16
8
0
0
0
8
8
8
0
0
0
1
0
8
8
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
2
8
8
0
8
0
0
0
0
0
16
16
4
4
0
0
2
0
1
8
8
8
0
0
0
10
2
0
0
1
1
0
0
1
1
1
0
8
0
0
0
0
0
0
0
8
0
16
0
0
16
16
16
16
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
8
0
16
16
16
0
0
0
0
2
4
8
0
8
28
16
4
0
0
0
0
1
0
0
8
0
1
0
0
0
0
16
0
8
0
8
16
8
40
0
16
0
0
0
16
0
0
0
0
0
0
0
1
1
1
0
0
0
8
8
56
16
0
8
8
8
0
0
24
1
9
0
0
6
8
0
0
0
0
0
0
4
4
8
8
0
0
0
0
0
0
0
1
0
0
0
0
0
16
8
16
16
16
16
0
0
0
0
16
2
0
4
4
48
16
0
8
11
8
8
8
8
2
2
20
8
0
0
0
0
0
0
2
17
0
0
8
16
0
0
0
16
16
16
20
0
8
8
8
8
1
1
0
0
0
6
4
4
0
8
0
0
0
0
0
0
0
0
0
0
4
4
4
4
0
2
6
6
4
4
0
0
0
0
24
16
16
8
0
0
0
0
16
0
0
0
0
0
1
16
4
4
16
16
16
0
0
0
0
8
0
0
0
8
2
2
0
0
0
0
0
20
0
0
0
0
0
12
0
0
0
0
0
0
0
0
0
8
0
0
4
4
0
16
16
8
1
18
0
2
0
0
8
0
8
8
0
0
16
16
16
16
0
8
0
8
8
16
16
0
0
4
0
0
0
18
0
8
4
0
0
0
0
16
16
16
8
0
0
0
16
16
16
8
0
0
0
0
0
4
0
16
16
8
8
8
0
24
0
4
2
4
0
0
0
0
2
8
0
0
26
26
26
0
0
0
0
0
8
0
0
24
0
10
0
0
0
16
16
16
8
8
16
24
0
0
17
8
0
0
0
0
0
0
8
0
17
17
1
0
0
0
8
16
16
0
0
0
8
8
8
0
0
0
0
0
0
0
0
8
16
0
1
1
16
8
16
0
0
32
0
0
0
0
0
0
0
4
0
8
0
0
0
4
4
4
16
16
16
0
40
0
8
0
0
16
0
16
2
0
0
0
24
24
16
16
16
1
33
2
0
0
0
0
0
8
8
22
22
0
0
8
8
0
2
0
0
8
8
8
10
0
0
1
8
16
16
16
0
0
0
0
4
8
8
8
16
2
0
4
0
4
1
0
8
0
0
1
20
8
18
18
18
18
16
12
8
8
8
8
0
39
38
16
16
2
2
16
4
8
8
8
8
0
8
8
0
8
16
0
0
0
0
16
8
16
0
0
24
0
0
0
0
2
2
1
0
16
18
2
0
0
0
4
0
8
16
16
0
0
16
8
8
8
16
32
8
8
8
0
0
0
0
0
0
0
0
0
4
32
32
16
1
1
8
8
8
8
16
18
8
8
24
24
8
10
8
1
16
24
16
16
0
0
1
1
1
1
8
0
0
0
8
8
0
0
26
2
32
32
16
0
16
16
8
12
0
16
8
8
0
0
2
4
8
8
8
2
2
0
8
8
8
0
0
0
0
0
0
0
16
16
16
8
8
8
0
16
0
0
0
16
16
0
0
16
0
0
8
0
16
17
0
0
0
0
0
0
16
8
0
0
0
9
1
0
8
0
8
1
0
8
12
12
1
8
9
0
0
0
0
8
0
24
24
0
0
0
0
1
0
16
0
2
0
8
0
30
1
1
9
1
1
1
0
16
43
0
8
8
0
0
6
9
9
9
0
0
1
1
0
16
0
8
8
0
4
24
8
0
0
2
10
24
6
0
8
8
8
0
8
8
8
8
8
8
8
4
0
0
0
0
2
2
8
0
0
8
0
4
4
17
17
1
2
2
0
8
8
8
1
0
24
8
0
8
0
16
16
20
20
2
0
8
0
2
2
0
0
16
16
0
2
0
1
1
8
8
8
8
0
8
0
28
28
20
20
4
4
13
8
2
8
8
8
8
4
4
4
0
0
8
24
8
16
16
16
16
16
16
0
16
16
16
16
0
0
0
0
0
0
12
32
22
22
8
32
8
8
8
8
8
0
0
0
0
0
0
0
8
0
0
2
4
28
0
4
4
32
8
8
10
33
1
1
7
0
8
4
24
8
0
0
0
0
8
8
8
8
4
4
0
8
0
16
16
16
8
8
24
0
11
9
0
16
16
4
0
0
0
0
0
16
16
16
24
16
16
1
0
0
0
16
2
2
16
8
0
16
8
0
0
0
41
16
1
33
8
0
8
0
8
0
8
0
0
16
16
16
0
0
8
8
0
2
2
0
16
2
16
0
1
1
12
2
0
0
0
0
8
0
8
16
1
2
2
0
8
1
1
20
20
0
4
8
1
0
8
8
0
1
0
0
16
16
1
2
1
8
8
8
0
0
8
0
16
16
16
1
1
0
8
0
0
8
0
0
16
1
16
8
0
1
2
2
2
1
58
0
8
8
8
8
8
16
2
2
2
2
0
1
1
8
16
0
4
4
0
0
8
8
8
0
0
2
18
0
0
0
0
8
8
0
0
0
0
16
16
0
0
0
8
0
4
4
4
4
8
8
0
0
0
0
16
8
0
0
8
8
16
1
8
17
17
1
0
8
8
0
8
8
8
0
0
0
0
1
1
2
2
2
0
16
8
0
0
0
1
1
1
4
8
8
8
0
0
2
2
8
2
8
8
8
16
16
8
8
8
4
0
8
4
8
2
8
16
16
16
24
24
24
8
8
8
8
8
8
0
0
1
8
8
0
16
2
0
8
8
8
8
8
44
44
44
8
0
0
0
8
16
16
16
0
32
0
8
0
1
1
20
20
20
0
0
8
0
0
0
0
0
8
8
8
8
16
16
0
16
4
4
8
8
8
0
0
16
16
16
16
8
0
0
0
0
8
8
8
8
8
1
8
8
0
0
8
16
0
0
4
4
4
4
0
0
8
8
16
8
8
16
8
24
0
0
0
8
8
17
8
8
0
0
0
0
20
0
8
8
8
8
0
16
8
8
8
8
28
16
4
4
0
0
24
24
24
16
16
16
16
0
2
2
28
28
1
0
16
24
3
0
16
16
0
0
2
16
4
4
0
0
16
8
8
8
16
16
16
16
4
4
4
50
16
16
8
16
16
8
16
8
8
8
8
8
0
0
0
25
0
24
24
24
8
2
2
2
8
8
2
2
0
24
0
0
8
8
1
1
1
8
8
8
0
0
0
4
4
0
0
0
8
8
8
0
0
0
16
0
2
2
2
2
16
16
8
1
8
16
0
24
24
8
8
4
0
8
0
0
0
0
16
8
4
4
20
0
17
20
0
0
0
0
0
0
8
8
8
0
0
25
0
16
16
16
4
2
8
8
8
8
0
0
0
17
16
16
16
0
0
32
8
8
0
0
8
8
16
16
16
6
8
0
8
0
0
2
16
8
8
8
0
8
0
1
1
1
1
0
8
8
16
0
0
0
0
8
8
8
48
1
16
16
16
8
0
0
8
16
16
16
8
8
0
0
0
10
10
10
10
8
0
0
0
20
0
1
8
1
16
16
20
20
0
8
16
16
0
4
8
40
4
0
0
26
0
8
8
0
8
16
16
0
0
0
0
0
8
8
8
1
1
0
0
0
8
12
2
2
8
8
0
0
0
0
16
0
29
25
25
25
8
0
0
16
16
4
4
48
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
4
8
12
12
12
12
24
0
0
4
4
4
4
4
8
1
0
0
0
4
0
0
0
0
1
0
0
0
17
4
0
8
4
8
0
0
9
16
16
10
10
0
0
0
8
8
8
8
16
0
8
4
0
0
0
0
16
0
0
0
8
8
8
20
8
8
20
32
8
8
0
4
20
0
1
0
0
0
4
17
44
12
12
12
12
0
32
32
4
0
8
0
8
8
8
1
1
8
0
8
4
1
1
1
0
8
0
0
16
0
0
0
0
1
1
1
0
0
12
16
16
16
16
16
16
0
32
0
20
60
60
1
0
18
2
50
0
0
24
8
24
16
0
2
0
16
8
0
8
8
8
8
8
0
0
0
0
0
4
4
16
1
1
1
8
8
0
0
3
9
1
25
16
16
0
0
24
24
8
0
2
4
17
16
5
10
10
10
8
0
0
0
0
0
0
0
24
16
16
16
16
8
4
8
8
0
0
8
2
2
2
4
0
4
2
8
0
8
8
0
0
8
8
0
4
16
0
0
8
40
0
0
1
4
8
0
8
16
24
24
24
24
20
4
4
0
0
0
4
4
4
0
0
0
16
16
0
0
0
8
0
8
8
8
0
0
12
1
1
59
59
16
0
8
0
17
0
0
16
16
16
16
20
0
0
8
0
2
40
0
0
0
0
0
0
0
0
0
16
16
0
32
0
0
11
11
11
1
0
2
2
61
0
0
1
0
8
8
8
8
0
0
0
24
0
0
4
0
0
0
29
2
2
1
0
20
0
8
8
12
1
0
0
48
0
0
8
8
8
8
20
8
0
0
0
0
0
7
2
2
2
8
12
17
17
0
0
0
0
0
0
10
10
24
0
24
0
0
0
8
53
5
32
32
32
8
0
0
0
0
0
0
0
8
16
4
0
0
0
0
2
0
0
0
8
0
0
0
0
10
2
8
24
0
4
2
8
8
0
16
0
2
8
8
8
8
8
8
0
0
0
16
16
0
0
8
0
0
4
16
0
0
16
0
0
16
7
7
0
16
0
0
1
1
1
1
1
8
8
16
16
8
8
16
0
0
32
0
8
8
8
0
0
8
8
0
0
0
8
8
0
8
8
0
0
4
8
8
8
8
1
0
0
16
16
16
16
16
0
8
0
16
16
16
8
8
8
8
0
8
8
1
16
20
20
0
0
0
0
0
4
8
0
0
0
0
8
0
0
20
8
0
0
8
8
8
8
0
4
4
4
0
0
0
16
16
8
8
8
8
4
20
0
16
16
2
2
0
1
16
4
4
8
8
2
12
4
16
0
0
24
4
4
4
1
0
8
0
0
8
0
1
1
1
1
1
0
0
0
0
8
8
16
16
0
0
0
1
1
1
1
1
26
26
0
1
1
0
8
8
0
2
4
1
8
8
8
8
8
0
0
8
0
4
0
16
16
0
16
1
4
4
0
0
8
16
16
16
16
0
8
0
4
4
4
0
0
8
0
0
8
0
0
16
0
0
2
0
25
16
8
8
0
0
0
0
8
0
8
8
8
0
18
4
8
1
1
1
0
2
0
4
4
8
0
0
40
37
8
8
8
4
4
4
4
4
8
4
16
0
24
3
16
0
0
0
16
8
8
4
4
40
8
8
8
8
8
8
8
16
2
18
0
0
0
8
0
0
0
8
8
0
0
0
8
0
1
1
0
1
0
16
16
0
2
2
32
32
32
16
8
8
10
17
8
0
0
0
0
16
16
8
0
0
0
0
0
16
0
0
2
2
0
29
24
8
8
8
0
4
12
12
16
9
12
0
0
8
0
0
1
5
5
8
8
4
0
10
16
0
0
2
4
4
0
0
0
8
0
16
16
0
0
4
8
0
8
8
8
8
1
8
8
0
52
0
0
0
0
4
4
1
1
0
1
1
1
1
1
0
8
0
0
0
8
8
8
8
16
0
34
1
1
1
0
0
0
8
0
0
8
16
16
0
0
0
0
0
8
8
8
8
0
0
0
0
0
0
8
2
17
17
1
1
0
8
8
8
8
0
16
0
0
0
0
8
16
0
8
0
2
8
2
18
0
8
1
1
1
1
2
0
0
16
16
1
1
16
16
16
0
37
37
8
20
20
20
0
0
8
1
0
0
2
6
6
6
6
1
0
8
8
0
0
0
0
8
1
8
8
8
8
1
0
0
8
0
0
0
0
0
8
8
32
8
9
0
0
0
0
0
16
16
16
16
16
0
16
0
8
8
16
16
16
0
2
8
0
4
0
0
16
0
24
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
8
0
0
16
8
8
0
0
0
24
4
4
4
4
4
4
4
4
4
8
8
24
0
16
16
16
2
2
2
0
8
0
2
2
0
8
8
8
8
8
8
1
0
0
8
4
4
4
4
0
21
21
0
8
8
0
24
24
2
20
0
2
2
2
2
0
2
0
16
0
8
0
8
8
0
0
8
8
0
0
0
8
16
8
0
0
0
0
0
2
8
8
0
0
16
0
8
8
9
9
9
2
0
0
0
8
8
0
0
8
8
8
32
32
0
0
1
1
1
0
4
4
2
0
0
0
40
8
0
0
0
4
2
0
8
24
8
8
8
8
8
0
18
8
0
0
1
20
4
0
0
2
0
4
4
0
32
32
16
16
24
16
0
0
0
8
2
2
2
0
0
0
16
16
0
0
0
16
0
0
0
8
4
0
8
16
0
16
16
0
0
8
0
8
8
8
0
0
16
16
0
8
1
1
4
0
16
8
4
1
0
8
0
0
0
0
0
1
1
0
16
4
8
40
0
0
16
0
16
4
8
0
0
32
32
16
16
16
16
16
4
4
0
0
12
0
8
8
0
0
8
0
8
8
2
8
0
0
8
8
0
0
0
0
0
0
8
8
8
8
0
8
0
0
1
8
8
8
8
8
8
8
0
16
16
16
16
25
4
33
33
4
8
16
16
0
0
0
17
1
1
0
0
0
0
2
0
8
0
16
0
16
16
16
16
16
16
0
0
4
4
0
0
0
4
0
0
0
0
0
16
16
9
8
20
20
20
36
36
0
16
16
32
8
0
0
0
0
0
0
0
0
8
16
2
0
0
0
0
4
0
0
8
16
20
20
16
16
2
16
16
0
0
0
24
24
8
7
16
0
4
0
16
16
16
8
8
8
16
0
0
8
0
0
24
8
0
8
0
0
0
0
0
0
0
0
0
0
2
2
2
4
0
8
2
1
0
8
0
0
0
0
16
16
16
16
8
8
8
8
0
8
8
8
8
8
8
8
8
0
0
0
8
8
4
0
8
16
16
8
2
2
16
0
0
8
8
0
8
8
1
0
0
1
1
6
0
8
8
12
9
9
4
0
0
0
0
16
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
1
0
40
4
4
16
16
0
4
0
0
0
0
8
8
10
2
2
2
8
2
2
0
16
4
8
0
8
4
16
16
16
0
16
16
0
8
8
0
8
0
0
0
0
0
0
0
8
4
4
24
2
28
1
8
0
0
8
16
16
0
4
4
4
4
8
0
0
0
0
0
0
0
8
8
0
24
24
24
0
0
16
4
1
1
1
8
2
27
2
2
2
8
8
8
8
8
2
2
0
16
4
4
0
0
1
12
12
0
9
9
9
8
2
0
0
0
1
1
0
0
16
0
0
0
0
0
8
8
0
0
0
0
8
1
16
24
24
10
16
16
10
0
0
0
32
16
16
0
8
0
0
0
20
20
0
0
0
0
8
8
8
16
0
0
8
8
0
8
8
0
0
0
0
0
0
0
16
0
0
0
8
8
8
8
8
0
0
0
6
0
0
21
16
0
8
0
8
0
32
0
16
1
16
16
8
0
0
0
0
0
34
34
0
0
8
25
0
0
3
8
8
0
12
0
0
32
8
0
0
0
36
16
0
8
40
40
8
8
8
8
17
0
0
0
0
0
0
16
16
24
8
8
8
0
0
8
8
16
56
56
56
0
0
0
24
0
16
16
2
0
0
1
1
0
16
0
16
16
8
8
8
0
0
0
0
4
0
4
16
8
8
0
8
8
16
16
16
0
0
0
0
6
8
8
8
0
0
24
16
16
0
16
16
0
0
0
0
3
1
1
0
8
8
8
25
0
0
0
0
4
4
4
0
0
0
0
20
20
16
0
0
24
0
0
0
4
4
4
4
0
4
0
0
0
16
9
16
18
40
40
40
40
1
16
16
16
0
0
33
33
33
0
8
8
0
0
16
8
8
32
32
0
4
4
8
8
0
2
14
0
7
4
16
28
28
8
8
8
8
8
8
8
8
16
16
8
8
8
16
16
16
16
0
0
8
0
8
0
0
0
8
0
0
16
16
0
8
0
0
8
0
16
0
0
0
2
0
0
0
9
0
0
0
0
8
0
16
16
16
0
0
0
8
8
8
8
8
0
16
8
8
8
0
0
0
0
0
0
0
8
0
0
8
8
8
26
26
0
16
16
0
0
0
8
8
8
8
8
0
8
8
0
0
0
1
8
12
2
0
26
2
2
16
8
8
8
0
2
1
16
8
2
16
0
0
8
9
9
0
0
32
0
0
0
0
8
0
0
0
0
0
2
0
8
16
20
20
2
24
24
0
8
48
0
0
8
16
1
0
0
0
0
0
60
8
1
48
0
8
0
0
16
8
0
2
2
2
0
1
1
16
0
0
0
0
4
6
0
32
8
0
0
0
0
23
0
0
4
16
16
16
8
8
0
8
8
0
28
16
16
16
16
1
1
8
0
10
2
8
8
8
0
8
0
16
8
16
16
16
8
16
16
16
16
16
16
16
0
8
0
1
10
16
16
16
0
0
0
8
25
16
16
0
0
0
28
4
4
4
20
16
0
0
0
0
0
0
8
8
8
0
16
16
8
8
16
16
16
0
12
0
41
16
16
4
0
8
1
2
2
2
0
8
0
8
8
8
8
16
16
16
16
32
0
0
16
29
8
0
0
0
0
18
18
18
0
0
0
0
2
2
8
8
8
8
8
0
0
16
16
16
8
8
0
11
11
0
0
0
0
0
0
0
1
4
16
16
0
0
0
0
0
16
16
32
32
0
0
17
17
16
8
16
8
0
0
16
16
24
0
0
0
1
2
0
1
1
0
8
8
16
16
0
16
8
0
0
0
32
32
0
0
0
40
0
0
0
0
0
0
16
16
16
0
0
0
0
1
1
8
16
16
0
8
8
8
8
8
8
8
8
1
25
25
0
0
0
0
0
0
16
16
8
8
8
8
8
8
8
0
0
0
0
0
2
8
8
34
34
0
8
8
8
16
16
16
8
24
24
0
0
16
16
0
0
2
8
18
18
8
0
9
0
0
0
0
4
4
0
8
4
4
0
0
0
0
0
8
8
8
8
0
0
57
16
8
16
16
2
16
1
0
0
16
4
4
8
2
4
8
8
8
0
0
0
0
24
0
8
0
0
0
0
1
4
4
4
24
0
0
16
16
32
32
0
0
0
0
8
8
8
8
0
0
0
0
0
16
8
0
16
0
0
0
8
8
10
10
0
16
2
34
4
4
0
0
8
8
0
4
0
1
1
0
8
0
0
17
16
16
8
8
8
0
8
8
8
4
0
0
0
0
0
16
16
0
16
13
8
2
2
8
8
8
24
8
0
0
12
12
12
0
16
16
0
0
0
0
8
8
0
0
0
0
0
8
0
0
0
8
0
0
2
2
0
16
16
16
16
16
16
0
8
0
0
1
1
0
8
8
16
0
0
1
5
0
0
0
8
0
0
1
8
16
16
16
16
16
16
16
16
16
16
16
0
4
1
2
0
0
16
16
16
0
8
24
0
0
16
16
16
8
8
16
8
4
0
0
0
16
17
2
2
2
0
0
0
0
8
8
0
0
8
16
16
16
0
0
0
8
0
2
2
0
16
4
4
8
8
8
0
0
0
2
0
0
0
0
0
8
8
0
4
8
8
8
8
8
16
16
16
16
16
16
0
0
24
8
8
8
0
0
16
16
8
8
16
0
8
8
48
32
8
8
1
1
0
8
0
18
16
0
0
0
16
0
0
16
0
0
0
0
8
8
8
8
8
8
0
0
8
1
8
24
1
1
1
8
0
0
8
8
0
0
0
0
16
8
0
24
2
25
16
24
4
4
8
8
0
0
0
8
8
8
12
8
8
8
40
40
18
18
1
1
16
0
0
0
0
4
0
0
8
32
35
35
35
35
35
8
0
0
0
0
1
0
0
1
1
1
1
19
1
8
8
0
0
8
0
0
0
0
16
16
16
16
16
4
8
12
12
4
4
16
8
2
8
4
0
0
0
14
9
1
0
8
16
0
0
8
0
0
8
0
0
0
1
0
16
16
16
0
16
16
16
16
0
16
8
12
16
16
16
16
16
16
16
8
0
5
8
8
16
6
0
4
32
32
0
0
0
0
0
0
8
0
1
32
0
0
0
0
4
8
8
8
8
0
16
16
0
6
6
0
16
0
0
2
2
4
0
0
0
0
16
0
0
8
24
8
8
0
0
0
0
0
0
16
0
0
0
0
0
0
8
2
0
0
0
0
8
0
8
0
20
0
0
8
16
16
13
0
2
0
0
0
16
16
16
16
16
16
16
16
4
4
0
16
16
16
0
0
0
2
4
4
8
8
4
16
8
8
8
1
0
0
4
0
16
16
16
0
0
0
0
0
0
17
2
2
0
4
0
8
8
8
8
0
0
0
16
16
16
0
1
2
8
10
0
0
0
16
0
24
16
0
8
0
2
2
0
0
30
16
1
1
1
0
8
8
8
8
0
8
8
11
11
5
16
4
4
4
16
0
0
0
0
8
0
0
8
1
6
2
4
8
0
16
16
0
8
8
4
0
0
0
24
16
16
1
1
0
8
8
0
40
0
0
8
8
8
8
8
0
8
8
8
0
8
8
8
1
8
0
0
0
0
0
0
0
8
8
1
0
0
16
8
8
8
8
8
0
0
16
0
35
0
0
0
0
0
1
1
1
4
4
0
0
0
20
0
8
0
22
0
0
0
8
8
4
8
8
0
8
8
1
1
0
8
1
33
1
1
0
0
20
0
0
16
8
16
16
16
8
8
8
16
16
0
0
8
9
0
0
0
26
0
24
0
0
0
0
32
8
8
8
0
0
0
4
8
4
4
4
16
16
4
8
16
16
8
4
4
48
1
1
1
1
1
1
4
8
0
8
18
0
0
0
0
16
19
19
0
0
4
8
16
8
24
24
1
40
0
8
0
0
8
8
0
0
0
0
0
0
4
4
4
4
0
10
10
10
32
0
0
2
2
20
0
8
8
8
8
0
0
0
0
0
0
0
8
8
8
1
0
0
0
2
4
6
6
6
0
0
17
16
0
0
0
0
2
0
0
0
8
8
8
0
1
8
8
0
0
0
0
42
5
0
0
4
4
4
0
8
0
0
0
8
0
17
17
17
17
8
8
0
0
8
8
0
0
0
0
8
8
8
0
0
0
0
0
0
17
0
0
0
0
0
2
0
0
8
4
8
0
0
0
0
0
0
0
0
16
0
0
0
8
8
0
2
2
2
8
0
0
0
0
0
0
4
0
2
24
0
4
0
0
0
0
0
4
0
0
0
16
2
0
16
16
16
16
16
4
0
0
8
4
12
0
0
0
0
0
16
2
0
0
8
0
12
0
0
8
0
16
16
4
4
16
16
8
32
0
0
2
2
5
5
5
0
0
2
2
8
0
0
0
3
0
0
32
1
1
12
0
0
0
6
0
2
2
4
4
8
0
0
0
0
32
0
0
16
2
8
9
16
0
0
0
0
0
0
0
0
0
0
0
0
0
4
8
8
8
8
17
17
0
0
16
16
0
0
16
16
16
16
0
56
16
0
16
16
16
12
18
18
9
4
2
0
0
8
0
8
0
0
4
24
8
16
16
16
27
0
0
8
8
8
0
0
0
8
8
0
0
0
0
16
24
0
0
40
8
8
8
8
16
0
16
16
8
8
8
4
16
16
16
0
0
8
1
16
8
0
2
4
2
2
16
8
8
8
8
8
8
0
0
0
2
2
0
16
0
0
0
0
24
1
1
4
8
0
0
0
0
16
16
1
1
0
0
32
8
8
8
16
16
16
16
8
0
0
0
0
4
0
0
0
0
32
8
24
24
24
0
0
0
0
0
24
24
0
8
8
0
1
2
1
0
4
0
8
8
0
0
18
8
0
0
16
0
0
0
0
8
8
16
8
16
16
0
8
0
0
16
0
0
0
0
0
0
0
0
16
16
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
4
4
4
24
8
8
0
16
1
16
16
8
8
8
16
0
0
0
0
0
0
0
16
16
0
0
30
30
30
0
0
8
8
5
5
5
16
0
8
0
0
8
2
0
1
8
0
1
0
14
14
8
0
0
0
0
8
8
0
0
0
2
8
8
0
0
8
8
8
16
16
4
4
0
16
32
0
8
8
4
0
6
0
0
0
8
8
8
0
0
0
0
16
0
0
0
0
0
0
0
8
2
8
0
4
0
0
0
16
32
0
0
0
0
0
0
0
0
0
0
0
16
20
4
16
16
2
0
33
4
8
0
0
0
0
0
0
0
0
0
0
0
8
8
4
4
8
8
4
1
1
0
0
0
16
20
0
0
8
0
0
16
0
22
22
0
16
8
0
0
0
0
0
0
0
0
16
0
16
0
0
0
0
0
0
0
53
8
16
16
0
16
9
0
0
0
16
0
0
0
8
8
8
8
0
0
6
6
16
16
20
16
0
0
8
0
24
0
4
1
1
0
2
6
6
6
0
0
0
0
0
0
8
16
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
8
16
0
0
0
8
0
0
0
0
0
0
8
8
0
0
8
8
8
16
0
0
1
16
16
8
4
4
8
8
32
4
8
8
8
8
8
8
8
0
0
0
16
16
4
0
8
0
0
0
0
0
8
8
12
16
16
0
0
0
0
8
24
8
2
0
16
16
8
8
8
0
8
0
0
0
0
8
24
0
8
0
4
1
8
0
0
10
0
16
16
2
8
1
2
2
8
8
8
1
40
40
0
1
0
0
16
0
0
0
0
0
8
16
0
0
2
2
2
16
16
8
8
8
8
0
0
16
0
2
0
1
1
0
0
10
16
4
4
0
0
0
0
0
0
0
0
0
17
1
8
8
0
0
0
2
0
0
0
0
16
12
12
2
0
0
0
2
0
0
0
24
0
24
0
0
0
24
24
24
24
8
8
8
0
0
0
8
0
1
0
0
0
16
0
0
4
43
8
8
8
0
1
0
20
0
16
24
24
8
18
1
0
0
0
16
4
4
32
8
0
0
0
0
8
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
4
4
4
0
0
8
1
0
0
16
16
2
2
2
8
8
2
0
8
8
0
8
0
16
0
0
0
26
0
0
0
0
0
0
0
4
8
0
0
0
0
17
0
16
8
10
8
16
16
16
16
0
0
24
0
8
8
8
8
8
0
1
0
0
1
1
30
8
17
17
8
0
0
0
8
8
40
56
0
16
16
0
0
16
1
0
0
8
8
17
0
0
8
0
0
16
0
0
8
2
8
8
16
8
8
8
0
0
0
0
0
8
8
4
8
8
0
0
16
0
3
16
16
16
8
2
8
4
4
0
8
0
0
0
5
16
16
16
16
16
16
0
0
0
0
0
0
16
0
5
19
0
0
48
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
1
1
0
16
0
0
0
2
0
0
16
8
8
0
8
8
16
0
0
0
8
8
16
8
12
8
4
0
16
16
0
0
0
8
8
8
1
1
0
0
0
8
0
0
0
8
0
0
8
4
0
4
16
8
8
8
8
0
8
16
0
16
8
8
4
0
0
0
9
8
8
0
0
0
1
0
0
0
0
4
0
0
0
4
4
4
4
4
8
8
4
4
0
0
8
0
0
2
2
8
8
8
8
8
0
0
8
0
0
0
0
0
0
0
0
8
8
1
0
22
8
2
2
2
24
0
2
0
0
57
16
32
34
34
0
0
0
0
0
0
8
8
8
8
0
0
16
0
2
0
0
0
0
0
8
16
16
0
0
0
0
0
0
0
0
0
4
4
8
0
0
8
1
0
0
0
0
0
0
1
25
0
0
6
0
24
0
20
8
0
24
0
0
0
0
0
0
0
49
0
0
8
8
0
16
0
4
1
0
0
0
8
0
0
1
1
0
0
8
8
8
0
0
0
0
1
1
0
0
8
0
0
0
0
4
0
8
8
16
0
0
16
0
8
6
0
32
32
0
4
4
4
8
0
0
0
0
0
0
8
8
0
0
1
1
1
8
16
16
16
16
0
8
0
0
0
0
12
12
16
0
0
0
0
0
0
0
0
0
0
8
16
16
16
4
16
16
0
0
0
0
0
0
0
16
16
16
0
0
0
4
0
33
8
0
0
0
0
0
16
16
0
0
48
8
1
8
2
2
2
0
0
8
0
0
0
0
0
1
0
0
0
8
0
4
0
4
0
0
0
0
0
0
42
32
0
28
28
4
0
0
0
0
10
16
32
32
1
4
4
0
0
20
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
4
25
25
16
1
0
0
0
0
0
0
0
0
8
8
8
16
0
0
0
0
8
0
0
8
8
0
0
8
0
8
8
8
16
16
16
0
0
16
0
0
20
16
8
0
0
0
8
16
0
0
48
16
16
16
16
16
16
16
16
16
0
0
0
16
8
8
4
0
0
0
0
0
0
17
0
2
4
0
0
0
0
0
0
0
0
6
6
0
8
0
1
2
4
3
3
0
0
16
8
8
8
7
24
0
16
0
0
0
0
0
0
0
0
16
8
0
0
0
0
0
0
0
0
8
0
32
0
0
16
16
24
24
16
0
0
0
16
0
0
0
0
0
16
20
8
8
8
8
8
0
24
8
1
0
5
0
0
0
0
0
0
0
0
0
8
0
4
4
0
0
0
0
16
0
0
0
16
8
8
0
8
8
5
5
0
0
4
0
0
2
2
0
2
16
0
0
0
8
0
8
8
0
0
17
17
8
0
0
4
33
0
0
16
0
0
8
8
0
1
1
0
0
0
0
16
4
4
25
0
8
8
8
28
0
0
0
0
0
40
36
0
8
8
0
8
1
4
16
4
16
0
0
0
0
0
2
24
8
2
8
16
16
0
0
16
16
2
16
16
0
0
0
0
16
8
8
8
0
32
32
32
0
0
0
0
0
0
0
0
0
8
0
0
16
0
0
16
0
0
0
8
0
8
0
0
8
8
24
0
8
0
1
2
12
12
0
0
8
16
1
0
8
8
8
0
0
0
0
24
0
4
0
8
8
16
16
0
16
8
27
27
32
8
4
4
16
16
16
16
16
24
8
16
16
17
17
32
0
0
0
0
8
8
8
0
0
0
16
1
4
1
0
0
0
0
0
0
0
16
0
24
0
0
8
8
18
2
0
0
0
0
4
4
4
4
2
2
0
0
8
8
0
1
0
1
0
18
0
0
2
0
0
8
8
8
0
0
0
8
8
8
0
2
1
0
0
0
17
24
0
8
8
0
18
8
0
0
0
8
0
1
1
17
1
8
12
16
0
0
0
0
0
8
8
0
0
0
0
2
1
4
4
4
0
0
4
4
0
0
0
0
0
0
0
4
8
8
18
18
0
8
8
2
8
0
0
16
9
32
32
32
32
8
0
0
20
20
8
0
0
16
16
0
24
8
8
4
0
16
16
8
8
16
16
8
8
8
16
0
0
0
16
16
0
3
3
0
0
8
0
4
0
0
0
0
0
0
0
0
0
0
16
1
1
16
16
0
8
8
0
0
0
0
0
8
0
0
0
0
8
8
8
16
0
0
0
0
0
0
8
19
16
2
2
2
16
0
2
0
24
24
0
8
0
0
0
16
0
20
0
4
8
8
8
4
0
0
0
16
4
0
20
0
16
0
0
0
8
4
4
4
17
9
0
0
16
16
8
0
0
4
0
0
16
0
0
0
0
0
0
1
8
12
8
1
1
0
18
0
0
0
0
8
16
22
24
16
4
0
0
0
0
0
0
4
4
0
0
2
4
4
4
0
0
0
0
0
0
16
16
8
8
2
2
2
2
8
0
0
0
16
0
0
0
0
0
0
0
0
1
0
0
0
8
0
0
8
6
6
1
0
4
8
0
24
0
0
20
0
0
8
16
0
0
8
0
8
8
48
8
8
0
8
8
0
0
0
0
0
0
16
0
16
0
29
0
16
16
0
1
1
0
0
0
8
2
16
16
0
0
0
16
0
8
0
0
0
4
16
16
0
0
6
16
16
0
0
0
0
16
8
0
16
16
17
16
4
4
0
8
0
8
8
24
0
4
4
16
8
8
6
16
16
4
4
1
1
1
0
4
4
1
1
25
0
0
0
0
8
8
0
0
16
16
16
2
0
0
0
0
0
0
8
8
48
48
0
0
0
0
0
2
0
0
0
16
16
0
8
16
2
16
16
16
16
16
8
0
8
0
0
1
0
8
8
0
0
0
0
8
8
8
0
12
16
16
12
2
2
8
8
6
6
0
16
0
16
16
16
0
0
5
2
0
9
8
8
0
4
0
0
0
4
4
4
16
8
0
0
0
8
0
0
0
0
0
0
1
0
0
24
24
0
0
0
0
0
0
16
32
0
16
0
2
0
0
0
10
10
10
8
0
16
16
8
0
0
0
0
0
0
8
8
8
0
0
0
0
8
0
0
0
0
0
0
0
0
0
8
16
0
0
0
16
16
16
0
8
8
8
8
8
0
8
0
0
0
0
0
0
0
0
0
4
0
0
0
24
25
0
24
0
17
12
12
2
0
0
8
1
8
0
0
0
0
0
0
0
4
0
16
16
0
0
0
8
8
0
60
16
0
0
0
0
28
1
1
1
1
1
8
0
0
0
8
0
0
16
0
8
8
8
8
16
0
8
0
16
8
0
0
0
8
16
16
0
0
0
4
4
4
8
8
8
8
8
16
0
0
0
0
16
17
0
8
22
22
22
0
8
8
8
0
0
0
0
8
16
0
0
0
0
0
16
1
16
16
0
2
2
0
0
0
0
0
0
0
0
4
0
0
8
8
4
0
0
8
8
8
1
16
16
16
0
0
0
2
20
8
0
6
6
6
4
4
0
8
2
2
1
8
32
1
8
0
0
12
8
3
3
0
24
24
24
8
17
17
18
0
16
0
8
8
0
0
0
0
0
4
1
0
0
16
16
4
32
0
0
0
0
0
8
8
0
0
0
2
2
2
2
2
2
2
2
2
8
0
0
0
16
16
2
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
16
16
0
7
0
18
0
0
16
24
16
0
12
0
0
0
8
16
16
8
4
0
0
0
8
8
0
0
0
16
0
0
0
0
0
8
8
8
4
1
1
4
4
8
0
4
0
0
0
0
0
0
16
4
0
0
1
32
16
48
48
16
0
16
16
25
8
13
20
19
0
0
0
0
0
8
0
0
1
1
0
8
8
1
4
0
0
0
1
0
0
2
2
0
8
8
2
0
0
0
0
32
0
0
1
1
0
0
4
0
0
0
8
20
20
16
0
0
0
1
8
0
0
0
20
4
4
0
0
0
0
0
0
0
24
4
16
16
8
0
8
0
8
0
0
40
0
0
0
0
0
24
0
0
0
0
0
0
0
12
0
4
4
0
0
0
0
0
0
0
0
0
8
16
0
16
0
0
0
0
0
0
10
10
0
16
8
1
1
0
0
0
8
0
0
0
3
1
0
0
0
0
2
4
0
7
8
21
0
8
0
0
0
0
0
0
0
0
0
8
8
8
8
0
8
8
8
0
4
4
4
8
0
0
0
16
8
4
4
8
0
26
0
40
8
0
24
24
0
38
0
0
8
0
8
0
0
0
16
0
1
1
0
0
0
8
0
0
0
0
24
24
24
24
0
0
0
0
0
4
0
0
0
0
2
0
16
0
0
25
8
0
1
1
1
0
8
8
8
8
0
0
0
8
16
16
4
0
0
8
8
8
0
0
8
8
0
0
0
8
2
0
0
8
24
24
2
16
8
0
0
36
36
4
4
8
0
0
8
6
4
4
2
0
0
8
0
0
0
16
0
0
0
0
0
16
29
29
0
0
40
0
0
0
0
2
0
8
8
2
0
8
8
8
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
24
0
5
16
0
0
8
19
0
16
2
0
0
0
8
0
0
0
14
0
8
0
0
8
4
0
8
1
0
4
0
0
0
0
0
0
0
16
0
8
4
0
2
8
0
0
8
1
1
32
32
8
0
0
1
0
0
0
0
0
4
4
8
8
8
1
36
36
0
0
0
0
0
0
0
26
8
16
0
0
2
0
0
4
3
8
16
4
14
0
29
0
0
0
0
0
0
26
0
18
2
2
2
0
0
0
1
0
0
8
8
0
16
8
0
8
0
0
0
0
8
8
0
8
0
2
2
8
0
0
16
0
0
0
1
8
18
4
32
0
0
8
8
0
0
0
0
0
0
8
0
48
8
8
8
16
0
5
0
4
24
0
2
2
2
8
20
0
0
0
0
0
0
0
0
0
0
8
0
8
0
0
0
2
0
20
0
0
0
0
0
1
1
16
16
16
16
16
0
0
0
16
8
8
0
2
8
8
0
16
16
0
0
0
0
0
16
0
0
0
0
0
0
16
0
0
32
32
0
0
0
8
0
0
2
0
0
0
0
0
2
8
0
0
2
0
0
0
0
2
2
8
0
0
16
16
0
0
8
24
24
0
0
0
8
0
0
0
2
9
8
8
0
0
0
0
0
0
0
0
0
0
8
0
0
0
2
22
0
0
16
16
8
8
8
8
2
2
2
12
0
0
8
0
8
8
8
0
0
0
0
16
16
29
29
29
29
0
24
8
0
0
0
16
1
0
0
8
8
0
0
10
10
10
8
4
0
0
8
8
0
0
24
1
0
0
16
0
0
32
0
8
0
0
1
8
0
0
0
4
0
8
8
0
0
0
0
0
0
0
0
0
16
32
20
4
24
0
0
16
1
0
0
0
0
16
44
44
44
0
4
0
0
0
8
4
0
16
16
16
14
16
16
16
0
0
0
0
0
8
0
16
0
1
4
0
0
0
48
32
0
2
2
0
4
4
2
2
16
0
16
0
16
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
8
0
8
8
8
8
16
16
0
0
16
16
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
16
0
0
0
0
8
8
8
0
0
0
1
0
0
8
0
0
0
0
8
0
0
4
0
0
4
4
22
16
16
8
8
0
0
0
0
8
16
0
0
2
0
0
0
0
2
0
0
54
32
4
32
0
0
0
0
16
0
8
13
8
8
8
8
0
0
1
1
58
2
0
16
16
0
0
0
0
0
0
4
4
4
0
0
0
8
0
16
0
0
20
16
0
0
0
0
16
0
24
0
0
0
4
0
2
2
0
0
8
8
0
2
2
8
0
0
0
8
8
8
0
16
16
1
0
0
0
0
0
0
0
8
8
8
0
3
1
8
8
16
16
24
0
0
0
0
16
16
16
0
8
6
8
0
0
8
8
0
0
0
0
0
24
16
0
4
0
0
4
8
8
2
0
0
0
0
0
0
0
16
0
0
0
0
0
32
0
0
8
8
16
0
0
0
16
16
16
16
16
0
0
20
8
0
0
0
32
0
8
0
0
0
12
8
8
0
0
0
0
1
0
0
0
0
0
0
8
8
0
0
24
4
4
4
0
8
0
0
0
0
18
8
0
0
0
0
16
0
0
0
0
0
0
4
4
16
16
8
0
0
0
0
8
0
0
0
17
0
0
8
0
28
0
8
16
0
0
16
0
0
0
1
16
16
8
1
17
0
0
18
0
0
0
0
0
0
18
4
2
0
0
0
0
0
2
0
0
0
0
0
0
8
0
8
8
0
0
16
16
16
17
0
0
0
0
0
8
0
0
4
8
0
2
2
0
16
16
0
4
0
0
16
0
0
16
0
8
8
1
16
0
0
24
16
2
0
0
16
0
0
0
8
16
4
24
0
8
8
8
8
16
0
0
0
0
3
0
0
0
0
0
2
0
0
16
4
0
0
0
0
0
0
0
13
20
20
8
8
24
16
16
16
16
0
1
1
4
0
0
0
0
8
12
12
0
0
0
0
21
24
5
5
0
0
8
0
0
0
0
24
24
16
0
0
0
16
28
0
8
8
8
0
0
0
0
0
16
8
0
0
8
8
8
6
6
2
2
0
0
8
0
0
8
0
4
4
8
0
0
0
16
16
16
16
8
0
0
0
0
2
8
8
8
0
2
2
0
0
0
8
16
0
16
16
16
36
16
17
8
8
16
1
0
0
4
4
16
16
16
0
8
24
24
8
8
4
32
24
0
16
16
16
2
8
8
0
0
0
0
0
0
2
2
0
0
0
8
0
0
0
0
12
8
16
0
0
0
0
0
8
0
1
8
8
0
16
0
0
16
16
8
2
0
0
8
0
0
4
32
32
4
4
8
0
16
0
0
0
0
2
8
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
18
18
18
4
16
0
0
0
16
1
0
24
8
24
8
0
16
16
8
0
20
0
16
4
16
0
0
0
1
0
0
0
24
0
0
0
0
8
0
6
16
0
8
0
0
0
8
8
0
18
18
18
18
18
18
18
18
20
20
0
1
0
0
0
19
19
0
4
2
2
0
0
8
0
4
0
0
0
0
0
0
0
0
0
0
1
0
8
8
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
16
8
0
0
0
0
0
0
0
0
0
0
0
0
28
28
28
1
0
0
0
0
6
8
16
32
32
0
0
16
16
11
0
8
1
0
0
0
8
0
0
0
0
4
0
0
0
0
0
0
4
4
4
0
0
8
8
8
4
0
4
4
0
0
0
0
0
35
35
16
1
1
0
0
0
8
8
0
0
0
0
0
0
16
4
4
4
4
0
0
0
1
0
0
0
8
8
8
0
8
8
0
0
0
6
0
32
0
8
0
0
8
8
0
0
8
0
0
0
0
0
0
0
0
0
48
32
40
0
16
8
19
2
16
16
40
0
0
1
2
0
18
0
4
4
16
26
32
0
1
1
1
0
0
16
16
0
0
0
0
0
0
0
32
32
40
40
0
4
55
16
0
0
0
0
0
8
36
36
0
0
16
32
0
0
0
0
0
0
0
8
0
21
0
2
8
0
0
20
8
8
16
8
18
2
2
2
16
0
0
0
0
8
8
16
16
0
0
0
8
0
0
8
8
8
0
0
0
16
4
0
8
8
0
0
0
2
0
0
0
0
24
0
4
8
40
32
0
0
0
4
0
2
24
8
0
0
16
4
1
16
0
0
0
8
0
2
0
24
20
8
1
4
20
32
0
0
16
16
0
0
0
0
0
0
0
32
0
0
2
16
0
0
0
0
0
0
1
1
0
20
4
0
8
8
4
16
16
0
24
4
8
8
16
18
0
0
0
0
8
24
0
0
0
4
21
0
0
0
0
20
0
0
16
16
16
16
8
8
0
0
0
0
0
0
16
0
0
0
0
8
8
0
0
0
8
8
8
0
0
0
0
1
0
24
0
18
0
9
9
24
1
4
16
16
8
0
0
0
16
40
0
0
1
1
0
0
0
4
4
0
16
2
2
0
8
0
0
0
0
0
0
0
0
16
0
0
0
4
4
4
4
8
0
2
0
16
0
0
4
8
8
8
0
8
8
24
16
16
16
2
12
2
28
28
0
0
0
0
0
16
16
0
0
0
1
0
0
0
0
0
0
0
0
0
8
8
8
8
0
18
0
0
0
4
4
4
8
0
8
8
0
8
8
0
0
8
0
0
0
2
0
0
24
16
28
0
0
0
8
0
8
16
0
0
0
0
0
16
0
0
49
1
16
17
17
0
0
0
8
8
0
0
40
2
0
0
0
0
12
0
0
8
0
0
2
8
8
8
0
0
0
0
4
0
8
8
8
32
8
0
8
8
8
8
1
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
16
2
8
8
8
0
16
0
16
0
0
0
0
0
0
16
8
8
4
4
0
0
33
33
33
0
0
0
0
0
0
0
0
0
17
0
8
28
0
0
0
0
9
1
0
0
24
24
16
16
16
16
16
0
0
1
0
0
0
0
8
8
8
8
8
0
8
8
8
8
16
0
0
0
0
0
0
20
20
16
16
16
16
2
24
0
2
0
0
0
16
24
4
8
8
0
0
0
0
8
8
16
8
0
8
1
1
1
0
0
0
8
17
16
16
16
16
0
0
0
0
31
0
16
0
0
8
0
0
0
16
0
0
37
1
0
0
24
0
0
0
0
0
0
16
8
0
0
0
20
8
8
2
2
2
0
8
2
2
0
16
20
8
0
0
24
24
24
24
24
24
24
16
16
16
2
24
0
57
57
17
16
16
16
0
0
0
0
16
8
0
0
0
0
0
0
0
0
0
0
0
16
2
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
25
25
0
0
0
0
16
6
6
16
0
0
0
16
16
0
0
16
16
0
0
0
0
0
0
2
0
0
0
0
24
0
5
0
0
4
16
16
16
16
0
0
40
0
0
8
24
4
18
18
0
16
16
0
0
0
8
0
0
0
0
8
16
0
0
0
6
0
10
0
0
0
8
0
2
2
0
0
8
0
0
0
0
0
0
16
0
16
8
8
0
16
16
2
2
8
8
8
4
0
0
1
1
16
16
0
0
8
0
0
4
24
4
4
4
4
8
2
4
0
16
16
0
0
0
0
0
0
0
1
16
16
0
2
0
0
0
0
0
0
8
16
6
4
4
0
16
0
8
8
4
0
0
0
0
0
0
8
8
0
0
0
16
4
4
0
0
0
0
0
0
0
32
0
16
0
3
0
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
24
0
8
8
32
0
16
1
18
0
8
8
0
28
28
12
0
0
17
4
4
4
0
0
8
4
4
4
0
0
0
0
0
16
24
24
16
32
0
14
14
14
0
0
0
0
8
32
8
0
8
8
8
8
8
16
8
2
8
8
8
16
16
6
2
8
2
2
2
16
16
16
8
0
8
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
0
16
8
0
8
0
16
16
24
24
16
8
0
8
0
4
0
12
10
19
19
8
28
0
0
8
20
0
2
8
8
8
4
0
0
0
0
0
0
0
8
8
25
25
16
16
16
0
0
16
16
16
16
0
0
0
0
8
0
0
0
0
8
0
16
0
0
18
0
0
8
0
8
8
16
4
0
0
0
0
4
0
2
2
2
2
0
8
0
0
0
0
8
8
8
0
8
8
24
24
8
0
0
0
0
0
0
0
4
4
4
0
0
0
0
1
1
4
8
8
8
0
0
0
0
0
0
8
0
0
0
0
0
2
2
2
8
8
8
24
0
0
16
0
0
0
0
8
0
2
8
8
16
0
0
0
0
16
0
0
16
0
8
0
0
8
24
0
0
0
0
0
8
8
8
1
0
0
0
16
0
1
1
19
0
16
16
0
0
16
18
2
20
4
8
4
0
0
8
0
0
0
8
8
8
8
8
8
8
0
0
1
0
0
8
8
0
8
8
0
1
16
16
16
1
8
8
0
0
0
0
8
16
0
0
0
0
0
0
0
8
4
1
1
0
0
0
16
16
0
0
4
10
10
8
8
8
2
25
18
0
0
0
0
4
4
4
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
1
8
0
5
0
0
0
0
16
16
0
0
0
0
0
0
8
8
8
8
0
0
20
0
0
0
1
0
0
6
4
0
16
16
0
0
0
0
1
0
0
0
8
0
0
18
0
8
4
0
0
0
16
16
16
0
0
0
24
24
24
0
0
20
20
0
0
8
0
0
0
0
0
0
8
8
4
0
16
0
0
8
0
0
0
0
0
4
24
24
0
0
0
0
0
0
16
16
16
0
0
0
8
0
0
0
0
8
8
0
25
25
0
0
8
0
0
0
0
0
8
0
0
0
0
16
20
0
0
0
0
0
16
0
0
0
0
0
0
16
0
0
0
1
1
24
0
1
8
0
0
0
0
1
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
13
32
0
0
1
0
0
0
0
0
8
0
0
0
8
0
0
0
0
24
0
16
16
16
0
8
8
4
0
0
4
4
0
0
0
0
0
8
1
0
1
4
0
8
0
8
8
8
0
1
4
0
0
0
0
8
8
0
0
0
16
4
4
0
8
4
4
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
16
16
16
0
16
8
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
16
0
3
3
24
0
0
1
32
0
0
0
0
0
0
2
0
32
32
4
0
12
12
8
0
0
0
8
2
0
4
0
0
1
1
0
0
8
16
24
24
0
0
4
0
21
0
0
0
0
0
25
16
16
0
0
16
24
0
16
0
0
2
0
25
24
16
6
2
0
12
20
20
0
0
24
8
0
8
0
8
8
8
8
8
8
8
5
0
16
0
8
0
8
2
49
1
1
20
0
0
0
0
8
8
0
16
0
0
0
0
0
0
0
0
0
3
8
8
0
8
16
0
0
16
0
0
0
0
0
8
0
0
0
28
28
0
0
0
0
0
16
18
26
16
16
16
16
2
8
0
12
0
17
17
57
4
0
0
16
16
16
24
8
4
4
0
0
2
2
4
16
0
0
4
0
0
0
0
8
8
8
8
8
8
0
8
8
0
0
1
1
0
0
16
16
0
0
0
0
0
0
2
2
2
1
1
0
20
0
16
0
0
0
0
0
0
8
8
8
8
0
0
0
2
0
24
4
4
0
0
0
0
0
1
0
16
0
8
9
0
0
0
0
0
0
0
0
4
4
0
8
0
8
0
0
0
0
0
0
0
0
1
0
4
4
0
0
32
0
0
0
0
0
0
0
0
0
0
16
0
8
0
0
0
0
0
0
0
2
0
0
8
0
17
0
16
0
0
0
0
4
4
4
0
4
36
0
16
1
1
1
0
30
16
0
0
8
16
2
0
0
0
0
0
0
0
0
8
0
0
8
0
0
0
0
0
0
0
16
16
16
16
4
0
0
0
0
0
0
32
8
20
16
16
2
0
0
0
0
8
8
16
16
1
2
1
2
0
8
0
8
0
0
24
4
4
0
0
0
0
1
18
0
0
1
0
12
0
0
0
4
4
4
0
0
0
20
1
0
8
2
60
0
0
0
0
4
0
0
16
0
0
0
0
8
0
0
0
0
16
16
0
16
0
0
0
24
1
36
0
0
4
0
16
0
0
0
0
8
8
8
0
1
3
3
0
0
16
0
17
0
0
0
0
20
0
8
0
8
8
0
0
8
8
0
0
28
0
0
8
0
0
0
0
0
0
1
1
1
0
0
0
0
16
0
0
8
8
8
0
8
8
8
8
8
8
8
8
0
0
0
0
0
0
16
16
8
8
8
16
16
0
0
0
0
0
0
4
4
20
16
16
8
0
16
16
4
0
0
0
2
0
0
0
0
0
52
8
16
2
0
32
16
0
32
0
0
8
0
0
8
8
8
8
16
16
0
0
0
0
0
0
0
4
4
0
16
16
16
0
0
0
0
0
0
19
0
16
16
4
0
0
0
8
8
16
8
0
0
0
0
6
6
16
2
0
1
1
24
0
0
0
0
0
0
8
8
8
0
0
0
16
16
0
8
16
3
4
0
0
0
8
0
18
0
8
0
0
8
8
0
0
8
2
4
4
2
2
4
0
0
0
0
8
8
1
16
0
0
0
0
0
0
0
8
0
5
0
1
0
6
8
0
8
0
10
10
20
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
16
0
8
8
8
0
0
4
0
0
0
0
8
9
0
0
0
2
2
0
16
20
8
8
8
0
8
0
17
17
1
1
0
0
0
0
0
0
8
0
0
0
0
1
1
20
0
0
4
0
0
8
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
8
8
0
8
0
0
0
0
0
0
0
0
0
0
8
4
4
0
1
1
4
0
0
0
0
0
3
0
0
0
0
0
4
4
0
0
0
16
8
16
16
4
4
4
0
17
1
0
16
0
16
0
1
1
0
0
0
2
4
18
0
0
8
8
16
0
0
0
24
8
0
0
0
0
0
16
0
0
8
8
24
0
8
0
0
4
4
0
8
8
16
8
8
0
0
18
2
2
16
16
16
17
0
32
32
32
8
0
0
0
0
16
0
0
0
2
2
0
0
8
0
8
0
6
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
1
1
0
0
18
0
0
0
35
0
0
0
24
0
8
8
0
0
16
16
16
16
16
16
0
56
8
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
24
0
0
4
4
4
0
0
0
0
0
0
0
0
0
18
28
0
16
0
0
0
0
8
0
16
0
0
0
0
0
0
25
16
0
0
32
0
0
0
16
4
17
16
2
0
16
0
0
2
8
17
0
0
0
0
0
0
0
0
8
8
0
4
4
0
16
16
25
25
8
0
4
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
2
2
0
0
0
32
0
0
0
0
0
6
0
0
0
0
0
0
0
16
2
1
1
16
0
24
24
0
0
0
16
16
0
20
20
0
0
9
9
9
0
2
0
16
0
21
0
8
0
8
8
8
0
0
0
8
0
2
0
8
8
0
0
4
0
8
0
0
0
0
0
0
0
0
0
17
17
0
0
8
16
16
0
0
4
0
0
0
0
8
0
0
8
8
8
8
8
12
0
8
0
8
0
0
0
1
8
8
16
0
16
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
8
0
8
8
8
1
1
0
0
0
0
0
12
8
8
0
0
0
0
0
16
16
16
16
0
4
8
0
0
2
0
16
0
4
0
0
4
0
11
0
16
16
2
0
8
8
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
16
8
8
0
0
24
24
24
0
0
0
0
0
0
0
0
0
0
16
16
16
0
0
0
0
24
0
0
0
0
0
0
16
0
0
0
0
0
0
32
28
28
2
4
4
0
0
4
4
20
0
0
32
0
32
0
0
0
1
0
8
0
4
4
16
0
0
0
0
0
0
0
0
0
0
0
48
0
0
0
0
0
2
0
0
0
0
16
0
0
16
0
8
16
16
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
16
16
16
16
8
5
0
0
0
0
0
0
29
29
29
29
29
29
29
0
0
0
0
0
0
0
16
16
0
20
16
16
0
16
8
28
4
8
12
0
8
24
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
24
24
0
8
0
8
0
8
0
0
0
0
8
8
8
0
8
0
16
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
20
0
8
0
16
16
18
0
0
0
1
17
1
16
16
16
3
8
4
18
16
0
8
2
0
8
1
1
4
8
0
16
0
0
16
16
8
16
0
4
4
4
0
0
0
0
24
16
16
0
0
0
0
0
16
16
0
0
8
0
2
2
0
0
0
0
0
0
4
4
0
24
1
16
2
6
6
16
0
0
0
0
0
0
0
0
2
16
16
8
8
8
8
8
16
0
0
2
8
0
0
0
0
2
3
16
0
0
0
0
0
0
0
18
16
8
0
0
0
0
0
2
8
8
0
0
16
16
16
0
0
16
16
16
16
16
16
0
16
0
0
0
0
0
0
0
0
0
12
0
0
8
0
0
0
0
8
8
16
0
6
0
0
0
0
0
0
0
0
0
0
0
0
12
16
16
0
16
16
0
0
4
0
0
4
0
0
0
8
8
8
1
0
0
1
0
0
21
1
21
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
23
14
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
4
0
28
0
8
8
0
0
0
16
8
0
0
24
0
0
0
8
8
16
8
0
0
0
0
8
8
8
8
0
0
0
16
8
0
8
0
8
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
32
32
0
0
8
8
0
0
0
8
1
0
0
16
4
0
0
0
0
0
0
0
0
0
16
0
0
0
16
0
0
0
0
0
0
0
0
0
8
0
0
16
0
0
0
9
9
0
8
0
0
0
0
0
8
0
24
8
8
8
8
8
8
0
8
8
8
8
1
8
0
0
0
0
0
0
0
0
0
8
8
8
1
1
0
0
0
0
20
0
12
12
0
0
0
0
2
2
0
0
0
0
0
1
32
8
0
16
22
4
4
16
16
0
0
0
0
8
8
0
0
0
0
32
8
0
16
0
0
0
0
0
8
20
20
0
0
0
8
16
16
1
8
0
0
0
0
17
8
4
0
0
4
0
0
0
0
0
0
0
0
0
4
4
0
0
0
0
0
0
2
2
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
6
0
0
0
0
0
32
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
1
1
0
17
4
28
0
0
0
0
0
8
0
18
18
0
0
0
8
16
24
0
16
4
0
2
0
2
0
0
0
24
0
0
26
2
0
8
0
0
16
0
0
0
0
0
0
0
0
0
17
17
0
0
0
0
8
8
8
0
0
0
0
8
0
0
17
6
8
0
0
1
0
0
0
0
0
0
0
4
8
0
0
0
0
0
3
0
4
8
0
0
2
0
0
8
0
0
0
9
16
0
0
0
0
0
0
0
8
16
0
0
0
2
8
0
1
1
1
1
1
1
0
0
24
8
8
40
0
0
8
4
4
8
16
0
0
0
0
0
0
0
0
0
0
0
0
12
4
8
8
8
0
0
8
8
8
8
8
0
0
18
0
0
0
8
8
0
0
0
16
0
24
0
0
0
0
8
0
0
0
4
4
4
4
0
0
0
0
16
16
0
0
0
0
16
16
16
16
16
16
2
0
2
4
0
0
0
0
0
24
24
24
24
24
24
8
0
0
0
0
0
0
0
0
0
4
4
0
0
0
0
0
0
0
8
8
16
0
0
4
16
0
16
0
0
0
0
16
0
0
24
0
16
0
0
0
1
8
0
0
0
0
1
0
0
0
0
8
0
0
8
8
8
8
8
8
8
8
2
0
0
0
8
0
0
0
0
1
0
8
52
0
0
0
4
4
4
8
0
0
0
0
4
0
0
8
8
8
8
8
8
8
8
0
0
0
0
0
0
0
0
8
0
18
0
8
8
0
1
0
26
16
8
12
0
16
0
0
0
4
18
2
24
0
0
8
8
0
2
0
0
0
0
4
2
2
10
0
2
0
0
0
8
0
0
0
13
0
0
36
0
0
0
0
2
2
18
8
0
0
16
16
16
16
16
9
9
0
0
0
0
41
16
0
0
4
0
1
0
0
0
0
0
2
0
0
0
0
0
0
8
32
16
8
0
0
0
8
0
8
8
0
0
0
0
0
8
8
0
0
2
0
8
8
0
0
8
2
2
0
0
20
8
8
8
16
16
0
0
0
0
0
8
0
0
0
0
0
1
1
0
16
0
8
0
8
16
16
8
8
4
0
0
0
16
16
0
0
0
0
8
8
18
0
48
24
0
0
0
2
0
8
16
8
24
2
8
8
8
8
0
0
0
0
0
2
2
0
0
0
0
0
0
8
0
0
0
16
8
16
16
29
29
29
29
29
29
29
29
0
12
12
1
16
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
1
0
16
0
0
0
0
0
0
0
0
0
4
4
0
0
0
0
16
8
8
8
8
8
8
0
0
0
16
0
8
8
8
8
0
0
0
0
4
4
0
0
0
0
0
0
0
0
25
0
0
0
0
16
16
0
16
16
0
1
0
8
16
16
8
4
12
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
8
8
0
0
0
0
4
8
8
0
0
0
4
34
16
0
0
16
9
0
0
32
16
2
2
2
0
16
0
0
0
1
1
1
16
8
8
0
0
0
0
0
0
0
0
4
0
0
0
0
4
4
0
0
0
0
1
0
16
0
16
0
0
8
8
8
0
0
0
0
0
0
24
0
0
0
0
0
0
0
1
20
8
0
16
4
4
25
0
0
8
8
0
0
0
0
2
21
0
8
0
0
8
16
16
0
0
0
0
32
2
2
0
0
16
16
8
0
0
0
0
0
8
8
8
4
4
12
0
0
0
2
2
0
8
8
8
8
8
4
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
1
8
8
8
8
8
8
16
0
0
0
4
4
0
8
8
8
8
8
8
0
0
0
0
0
0
0
2
2
0
0
0
8
2
8
8
0
0
16
8
8
0
19
16
0
0
1
1
0
0
8
0
16
18
18
18
32
0
1
1
1
1
0
8
16
0
0
0
0
0
12
0
0
1
24
4
1
8
0
0
0
8
8
0
16
0
0
0
0
16
16
0
0
0
32
16
0
0
0
0
8
8
0
0
0
21
0
0
0
8
16
8
0
0
0
8
0
8
16
16
0
0
16
16
8
8
8
8
8
8
8
8
8
8
8
0
13
24
24
24
24
0
8
0
0
0
6
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
0
0
16
0
2
18
8
8
0
4
8
2
0
16
0
0
0
0
0
0
4
4
12
12
0
0
4
4
24
4
12
4
0
32
0
0
0
8
8
0
16
16
0
32
32
32
32
32
1
1
0
8
0
0
0
0
4
8
0
0
16
0
0
0
8
16
16
16
8
8
2
0
0
1
1
0
0
8
33
1
1
0
6
0
0
4
4
4
4
0
8
8
8
8
8
8
8
0
8
8
8
0
16
16
1
8
8
33
33
0
8
8
8
1
1
0
8
8
8
32
8
8
4
4
4
40
8
1
0
0
0
0
0
0
0
0
0
0
8
0
4
4
8
28
8
4
16
16
16
16
16
16
16
8
2
0
18
0
1
16
16
0
0
21
8
16
16
0
0
0
0
8
16
8
8
8
20
20
20
0
3
2
8
0
0
24
8
8
8
0
0
0
0
33
2
2
16
16
8
24
1
25
0
8
8
12
32
16
0
0
8
8
8
0
0
0
8
8
0
0
0
0
0
32
1
1
1
1
0
16
12
12
12
12
12
17
17
8
16
8
8
16
16
1
1
1
0
0
0
0
0
16
16
16
1
1
0
32
32
0
0
0
1
0
8
0
0
0
8
16
0
0
0
8
8
0
8
16
16
8
12
8
16
0
1
1
0
17
17
17
0
0
0
16
16
16
16
8
8
8
8
0
16
0
16
24
24
8
8
0
0
0
4
0
8
24
0
17
16
16
16
16
16
16
8
0
32
8
8
0
0
0
0
32
1
1
1
1
1
1
0
8
16
16
16
0
8
16
8
8
8
16
16
2
8
8
8
8
8
4
8
8
0
8
8
16
8
8
8
4
4
4
0
0
32
32
32
0
0
2
2
8
8
0
12
0
17
17
1
1
1
9
12
0
0
4
4
32
32
32
0
8
8
0
8
9
9
0
4
6
16
16
0
36
0
0
17
8
8
8
24
24
24
16
1
1
16
18
18
8
0
0
0
0
0
8
8
0
8
8
16
16
14
2
4
11
3
16
16
2
2
0
0
8
8
32
32
16
16
16
8
4
8
0
0
16
8
8
8
8
0
0
0
0
24
8
0
17
16
32
16
8
3
2
0
8
8
8
8
14
16
0
8
8
2
2
2
2
2
0
8
8
1
1
0
0
0
0
0
0
24
0
0
8
8
0
0
0
1
0
0
0
8
8
8
8
8
8
16
0
8
8
8
8
8
0
2
0
0
4
4
0
4
4
8
8
8
8
16
8
4
4
2
2
0
12
8
24
0
16
16
0
2
2
2
20
20
8
0
0
0
0
0
0
0
0
0
24
1
1
4
4
4
0
0
1
1
1
0
0
0
16
16
0
8
40
16
8
8
20
20
20
8
8
4
4
0
0
0
18
0
8
0
1
16
0
0
8
0
0
0
0
16
16
0
0
0
0
4
0
16
16
0
16
16
8
8
0
4
0
16
2
2
2
16
16
16
8
8
8
8
8
0
0
0
12
12
8
0
0
8
0
0
0
0
8
0
0
16
16
16
2
0
2
8
2
1
1
8
24
24
24
24
24
24
24
24
8
8
8
8
8
8
16
17
16
16
0
0
8
8
0
0
0
16
16
16
0
8
4
4
24
8
8
0
0
1
16
8
40
18
18
16
8
1
9
1
0
0
0
1
1
1
1
0
0
0
8
8
8
0
0
2
0
10
2
2
0
0
0
0
0
4
8
8
8
0
0
0
8
8
8
8
8
8
0
0
8
8
16
16
16
16
16
16
16
16
4
16
24
16
16
8
16
16
2
16
16
8
0
8
0
16
0
0
0
24
24
24
6
4
0
4
8
8
16
0
2
8
0
0
20
8
8
8
16
0
8
2
0
8
8
8
8
4
4
4
8
8
8
8
48
8
0
0
0
4
29
29
29
0
8
1
1
8
8
8
8
2
8
8
0
16
0
0
0
32
1
16
8
8
8
16
16
16
8
24
16
24
16
0
2
8
16
0
17
17
4
16
12
2
2
0
0
8
8
26
1
1
1
1
16
16
16
16
16
0
4
4
8
2
1
8
16
0
0
16
0
0
0
0
0
0
16
0
8
0
0
16
16
0
0
0
8
8
0
8
8
8
8
4
0
1
1
1
1
1
0
8
8
8
24
8
24
0
0
0
4
16
9
0
2
2
0
0
0
0
4
4
4
8
9
1
1
16
16
16
16
0
16
25
16
16
0
0
0
0
32
8
0
0
0
8
0
0
4
4
8
2
2
2
1
1
8
0
0
8
0
0
0
0
18
16
16
8
8
8
0
0
0
16
8
2
8
0
1
0
0
0
0
4
4
16
8
8
4
0
8
8
0
17
4
4
0
16
16
0
0
16
8
8
16
16
16
8
0
0
0
12
12
1
1
1
12
12
0
6
8
8
8
0
8
1
9
8
8
8
0
0
0
0
0
0
0
4
4
14
14
14
16
16
16
16
8
0
0
0
8
8
8
8
8
8
8
8
8
4
16
8
8
0
0
16
16
16
16
16
16
16
16
8
0
0
0
0
0
0
0
0
8
8
8
2
0
8
1
0
8
8
8
8
8
8
8
8
16
0
24
0
8
8
8
1
1
0
0
0
2
4
8
18
18
0
0
16
16
16
16
0
8
8
0
0
0
0
0
0
16
16
16
16
0
16
0
0
0
16
0
4
0
0
16
8
8
8
4
4
0
4
4
18
18
18
18
24
24
8
0
1
0
16
16
0
8
8
8
8
8
8
0
0
8
16
16
18
18
18
8
8
4
4
4
20
20
20
8
4
0
4
4
4
4
4
4
4
16
16
16
0
0
0
17
1
0
0
0
0
2
4
24
0
0
8
8
0
1
8
8
8
8
4
0
8
8
0
0
16
16
16
8
8
0
0
0
2
0
8
0
2
2
2
12
8
0
8
8
0
9
16
0
0
0
16
16
16
16
16
0
8
8
16
16
48
0
0
0
0
0
8
8
8
8
8
0
0
16
16
0
8
0
2
0
16
16
8
8
16
5
0
21
8
8
0
17
0
0
8
8
0
16
16
0
0
0
0
0
0
8
1
1
1
1
1
22
22
8
8
0
8
24
0
0
0
0
0
0
11
4
16
8
8
0
8
0
16
16
24
16
8
8
8
8
0
16
16
0
0
9
9
0
0
8
17
0
9
1
1
20
20
20
20
20
8
8
4
0
16
7
8
1
1
1
8
8
8
8
8
0
0
16
32
32
0
8
8
8
16
16
16
16
0
8
0
0
8
8
8
0
16
4
4
4
14
8
8
0
16
16
2
16
16
16
16
8
8
8
16
0
0
0
16
0
8
8
8
0
16
16
0
0
8
42
0
0
1
8
8
8
8
8
16
16
16
16
0
8
8
8
8
8
18
0
8
8
32
0
1
1
1
0
8
25
16
0
1
1
0
8
8
16
0
4
4
0
0
4
4
4
16
16
16
16
16
0
0
0
0
8
6
8
8
0
0
8
8
0
16
0
10
26
8
8
4
0
8
16
16
8
8
8
16
0
0
0
8
0
20
20
16
1
1
1
0
16
0
0
0
14
14
12
8
8
0
8
8
12
12
8
8
8
8
8
8
8
0
0
8
8
8
8
8
0
0
41
41
41
16
4
4
8
8
8
8
8
8
41
0
0
16
16
0
2
16
0
8
8
8
8
12
0
22
4
40
0
1
16
4
8
8
8
8
8
0
16
0
0
0
8
20
8
8
8
8
8
8
0
0
0
19
19
2
16
8
8
16
2
2
2
2
2
2
16
0
0
8
0
16
24
0
0
8
40
32
16
16
16
4
4
0
0
0
4
4
2
8
4
8
8
16
0
16
16
16
16
0
16
4
4
4
4
0
1
1
1
0
16
12
8
8
8
16
32
2
34
2
0
0
8
8
8
8
0
0
0
0
8
8
8
4
0
0
0
0
0
0
0
0
1
1
1
1
1
1
0
10
8
0
0
0
8
8
8
8
8
8
4
4
0
16
16
0
8
8
8
8
0
0
0
0
4
1
16
16
20
40
40
40
0
0
0
2
2
2
2
2
0
0
16
16
16
0
0
0
0
0
0
0
0
0
8
10
10
0
0
0
0
8
8
8
8
8
8
16
16
0
0
16
20
4
4
2
1
16
0
8
8
0
0
0
0
16
16
16
16
16
1
1
0
0
2
2
8
8
8
16
16
21
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
0
0
0
8
28
8
0
0
0
8
8
8
0
6
48
8
8
8
0
1
1
4
4
0
0
0
0
33
33
33
0
8
8
0
0
0
8
8
8
8
0
16
8
1
4
4
0
4
8
0
0
0
0
8
8
2
2
2
0
0
0
0
0
8
0
8
4
4
4
4
4
4
4
4
4
4
0
0
0
4
42
42
42
8
8
8
8
8
0
4
16
8
8
8
8
8
0
0
0
8
11
11
1
20
16
16
16
16
16
0
0
4
4
4
4
4
4
8
0
8
8
18
1
1
1
1
1
1
1
3
2
0
16
16
8
8
8
0
0
0
0
0
8
16
16
4
2
2
2
4
0
0
8
8
4
16
0
8
8
0
8
0
0
0
16
16
0
0
24
8
0
9
1
1
8
8
8
0
0
33
0
8
16
0
8
8
8
8
16
16
0
3
3
16
4
0
24
8
8
8
0
22
8
0
0
8
8
1
0
0
4
8
16
16
16
0
0
0
0
0
36
8
0
41
0
16
16
16
0
8
32
0
4
4
24
6
4
8
32
32
32
0
17
16
0
0
0
0
8
8
16
1
1
1
1
1
1
1
1
0
0
1
8
8
8
2
0
0
2
1
0
4
8
8
8
2
2
0
8
8
8
8
8
8
8
8
8
4
4
0
0
0
0
0
0
8
8
8
17
16
0
0
16
16
16
16
16
0
0
4
22
4
8
8
8
0
0
24
8
0
16
16
8
0
0
0
0
8
17
17
0
0
0
0
0
8
1
1
0
0
0
0
0
0
0
0
0
0
0
2
2
16
16
16
56
16
0
0
4
4
8
8
0
0
0
8
9
0
0
0
0
0
6
0
0
0
0
0
0
16
2
2
2
0
0
0
8
0
0
0
0
0
8
8
16
0
0
7
16
8
8
1
16
24
8
2
0
48
9
2
2
0
8
0
1
8
16
16
16
4
16
2
8
16
16
0
0
0
16
4
4
4
0
0
0
0
0
0
0
16
16
0
0
4
8
0
0
0
0
0
0
32
8
8
8
1
0
0
8
8
8
8
0
0
16
8
0
1
1
1
28
1
16
0
0
8
8
17
16
8
8
8
0
0
0
0
8
0
0
0
8
8
8
8
0
0
8
8
8
8
36
36
36
2
0
8
20
20
20
0
16
32
32
32
8
0
0
16
16
16
8
8
0
8
8
8
8
8
8
8
0
0
0
0
8
0
16
16
16
8
8
8
8
8
8
40
16
16
16
16
0
0
8
8
8
8
16
16
0
0
0
0
4
4
0
0
0
0
16
24
24
24
24
16
0
8
8
0
16
16
16
16
16
16
16
16
8
8
8
16
0
8
0
8
24
24
0
0
0
0
8
8
40
1
8
8
4
4
4
0
8
8
0
8
0
0
0
0
8
8
0
3
3
4
4
4
4
8
8
8
8
0
0
0
0
8
8
4
0
4
16
16
0
0
0
0
0
8
8
8
8
0
0
0
0
16
0
8
16
2
8
16
16
16
16
16
16
0
0
0
0
16
8
8
16
16
32
32
32
16
16
4
0
8
0
0
0
0
8
0
0
0
17
17
17
0
16
0
0
0
0
0
2
2
8
4
16
18
20
8
8
2
2
2
0
0
16
16
16
16
0
1
16
16
16
1
8
8
8
8
8
8
8
8
16
0
16
16
8
8
8
8
8
4
0
8
8
8
0
0
0
10
1
1
1
1
8
24
24
24
16
8
0
0
0
0
8
8
18
18
1
0
0
0
6
24
16
24
16
14
8
0
16
16
8
8
0
16
16
8
16
0
0
0
4
4
4
16
8
0
16
16
8
4
4
6
8
8
8
32
32
18
0
16
16
16
16
16
2
2
8
8
0
0
0
0
8
0
4
0
32
0
0
0
8
8
0
8
16
8
16
16
16
16
16
0
0
16
0
0
0
8
8
0
16
0
16
16
4
4
1
1
4
4
4
4
4
4
20
16
2
2
0
8
0
2
1
16
8
1
1
8
0
16
8
1
8
4
12
0
8
8
0
0
0
0
0
0
0
8
24
8
8
5
0
0
0
0
16
16
12
12
16
16
0
0
2
17
8
8
0
18
8
8
20
0
0
0
8
0
0
2
16
0
16
24
24
24
24
24
5
32
40
0
8
16
4
0
0
0
0
0
0
0
8
12
12
4
8
0
26
26
24
12
12
0
0
8
2
0
0
0
1
0
0
0
0
4
4
0
0
8
8
0
0
16
8
17
0
8
8
0
1
1
0
0
0
0
0
0
0
16
0
0
0
0
0
8
8
8
1
0
0
0
8
8
8
8
8
0
8
8
0
0
8
8
8
8
16
9
4
4
4
4
0
8
0
0
2
6
0
0
16
16
16
0
32
32
32
32
32
0
0
0
8
0
0
8
10
8
8
4
4
0
0
8
4
0
0
0
0
0
1
1
1
1
0
0
0
0
0
0
0
0
0
0
8
0
8
8
8
0
0
0
16
16
0
0
40
16
16
0
4
0
8
8
8
8
8
8
8
8
4
4
4
16
0
0
0
0
0
4
4
8
16
1
8
0
0
36
4
4
4
4
4
4
4
8
0
0
0
0
0
16
17
17
8
0
0
8
0
0
0
8
0
8
8
8
8
2
10
0
16
4
16
16
0
0
0
0
0
8
0
8
8
8
16
16
16
16
16
16
0
8
0
0
24
8
16
16
27
1
1
8
24
1
3
3
8
0
8
8
8
8
16
0
5
5
0
0
0
0
22
16
16
16
0
16
16
16
8
8
8
22
0
0
16
0
8
8
8
0
4
0
0
0
0
8
0
0
0
0
0
8
8
8
6
32
4
4
0
8
8
32
32
32
0
0
0
8
8
4
4
0
0
32
0
16
16
8
8
8
2
1
0
0
0
0
16
0
8
12
16
16
16
8
8
8
8
1
1
1
1
16
16
32
37
37
1
0
8
8
8
8
8
8
8
0
4
4
8
8
16
0
16
16
0
0
8
8
24
0
0
4
16
16
0
8
12
24
0
20
20
0
8
8
8
0
4
12
0
8
4
0
0
4
0
0
0
1
8
16
16
16
0
16
16
18
0
0
0
0
0
0
0
4
0
4
0
0
2
2
0
0
0
0
0
0
0
8
8
0
0
0
8
8
20
16
16
0
44
8
0
16
16
0
0
0
0
0
0
8
16
32
35
32
0
8
4
0
0
49
8
0
8
16
16
12
12
12
1
0
0
4
0
0
0
8
8
0
8
0
0
0
8
8
8
8
0
0
0
8
24
8
32
8
8
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
16
16
16
0
17
17
17
0
0
0
36
2
16
16
0
0
8
8
0
0
4
4
4
4
0
8
0
0
0
16
16
0
0
0
8
8
11
16
2
2
2
2
2
2
2
16
0
1
16
16
16
0
8
9
8
0
0
0
0
0
0
0
8
8
8
8
8
0
16
16
2
0
8
24
4
4
24
16
16
16
0
4
4
2
2
2
0
10
16
16
16
16
16
16
8
4
8
8
8
8
0
8
8
8
8
8
8
4
5
5
16
16
16
16
1
16
8
8
0
8
0
17
17
17
16
0
0
0
8
8
8
16
4
29
0
0
16
16
16
16
16
0
0
8
8
2
2
2
8
0
0
1
1
8
8
8
24
16
24
24
8
8
8
8
8
16
16
16
1
8
0
0
26
26
1
0
0
0
0
0
0
0
0
16
16
16
16
16
4
4
4
4
0
8
8
8
8
8
8
4
4
4
0
24
28
28
33
33
33
0
16
20
1
1
16
1
2
4
0
0
0
8
25
8
8
8
8
8
8
0
0
8
16
0
0
0
0
0
0
0
8
0
16
0
0
0
8
8
8
8
8
8
8
0
0
0
0
0
0
0
0
8
8
16
16
16
8
8
8
2
2
2
8
0
0
0
0
8
0
20
20
16
8
24
2
8
10
32
20
20
0
18
8
2
2
0
0
8
8
8
8
8
8
0
0
0
6
2
0
0
0
1
1
33
16
16
1
5
1
0
26
16
16
4
8
0
1
1
2
0
0
0
8
0
0
16
16
0
0
0
4
4
0
8
0
0
0
10
10
10
8
8
4
0
2
0
8
0
0
0
0
8
2
8
8
8
0
0
0
0
8
8
1
8
0
8
8
8
8
8
8
0
8
0
0
16
0
17
16
2
0
0
0
5
4
4
5
8
0
16
24
16
16
16
16
24
16
16
16
4
4
4
0
0
0
0
0
0
8
0
0
0
0
56
16
16
0
1
1
1
1
4
4
16
2
2
2
2
2
2
16
9
16
8
0
16
0
0
16
4
0
8
8
8
8
4
4
4
3
3
3
3
3
0
0
8
8
0
8
24
16
16
0
0
0
16
16
8
0
0
0
0
0
0
1
8
8
4
4
4
0
0
0
4
4
8
4
8
8
16
0
0
0
0
0
0
19
8
16
16
16
16
8
8
0
16
16
8
8
8
0
1
16
0
0
0
0
0
0
0
8
32
4
0
0
0
1
8
16
0
8
24
24
0
8
16
1
0
0
0
0
0
0
0
1
20
20
20
4
32
8
8
8
8
8
0
16
0
0
0
0
0
16
0
40
40
9
16
16
4
4
4
8
0
21
21
21
21
0
0
16
0
12
16
16
16
24
0
0
0
0
4
0
0
8
0
8
8
8
8
0
16
8
1
0
0
0
0
24
1
8
8
8
10
0
16
16
22
22
8
1
1
0
0
0
8
0
16
16
2
14
14
14
14
14
16
16
16
0
16
8
8
8
8
8
8
8
0
8
0
0
0
0
0
0
0
0
0
0
0
8
0
18
18
4
8
8
8
0
0
8
8
8
4
4
6
8
8
8
8
8
8
6
2
2
2
0
0
16
16
1
17
17
0
0
0
0
8
0
8
16
16
40
40
8
4
4
0
0
0
4
4
0
1
1
1
0
12
0
16
2
8
24
8
8
0
0
1
1
1
2
8
1
32
1
1
1
36
16
16
16
16
0
8
8
8
0
0
1
1
1
1
1
16
8
0
0
0
0
1
0
0
0
16
0
8
8
8
8
8
16
16
1
0
0
16
16
0
0
16
0
0
0
12
8
8
8
8
8
0
0
8
0
0
0
10
24
24
24
4
16
16
0
0
0
8
8
8
8
8
8
0
0
4
4
4
0
16
4
61
61
61
0
4
48
16
16
16
8
8
8
8
8
8
8
16
8
8
2
2
2
17
16
16
16
16
16
16
16
16
16
8
8
0
0
1
1
1
0
0
0
16
8
0
8
8
8
0
0
0
0
16
16
0
0
16
8
8
8
8
8
32
8
8
8
8
0
8
8
0
17
2
2
16
16
8
1
1
8
8
8
8
8
16
18
18
8
8
8
8
8
32
16
16
16
0
0
0
8
8
8
1
8
0
0
16
16
8
0
16
1
32
32
32
8
1
16
16
0
42
16
16
16
16
0
4
4
4
8
8
8
8
1
0
0
8
0
8
8
24
24
16
21
21
0
16
16
16
1
0
8
16
8
8
16
0
8
8
1
32
33
33
8
0
0
0
16
8
8
8
0
16
16
8
2
2
0
0
1
8
8
0
0
18
4
0
0
4
0
8
8
16
16
0
10
24
0
16
16
2
2
36
36
8
0
3
3
0
28
16
0
19
8
0
0
0
0
0
16
0
8
8
8
2
20
20
8
0
0
1
1
1
1
8
1
33
33
33
33
2
2
8
0
0
0
0
0
0
8
8
16
16
16
16
16
0
8
0
16
16
16
5
1
0
0
0
4
17
1
1
0
0
0
0
0
16
10
10
8
2
2
2
2
2
8
8
8
26
0
0
0
16
0
16
16
28
28
8
8
0
0
0
1
1
1
4
4
4
8
4
5
4
4
4
8
0
8
24
0
8
8
8
0
0
10
10
28
28
16
8
8
8
8
16
2
8
8
16
0
16
16
16
16
0
0
8
8
8
8
12
0
0
0
1
1
8
0
0
8
8
8
8
0
0
0
0
0
0
2
18
8
8
8
0
0
8
8
0
0
0
16
16
16
0
0
16
16
1
57
8
8
0
0
0
8
8
8
0
18
8
2
2
24
24
0
0
0
16
16
8
16
9
9
0
0
0
16
16
16
16
16
16
16
0
0
0
0
8
8
8
8
8
8
8
8
0
0
24
1
1
1
1
0
8
8
0
0
0
32
0
8
8
0
0
2
2
0
0
0
17
17
2
2
16
16
16
16
8
8
0
8
16
8
8
1
16
0
0
0
0
0
1
16
16
16
16
1
1
0
8
8
4
8
0
4
8
8
8
8
16
8
16
0
0
8
0
20
0
0
8
8
1
1
1
8
8
8
0
1
8
0
24
8
10
10
10
0
0
0
0
0
16
16
8
32
32
4
4
4
2
0
0
24
0
0
0
8
16
16
4
4
16
16
0
16
4
4
0
0
0
0
16
8
4
0
40
8
8
2
3
4
4
24
24
8
8
16
4
0
24
0
0
16
0
8
24
24
16
16
0
0
0
0
0
0
0
8
8
8
4
16
16
8
8
8
8
8
8
8
0
8
40
0
0
16
16
16
16
8
32
32
32
32
32
32
32
0
8
1
0
0
0
16
0
0
8
7
7
48
16
16
8
8
16
0
0
8
8
16
0
8
8
0
0
16
16
16
0
0
0
0
0
1
1
0
0
0
0
8
4
24
16
16
16
20
0
16
16
28
8
0
0
0
8
3
8
0
0
0
0
8
8
8
8
16
0
16
24
16
16
1
8
0
16
16
16
16
0
8
8
4
4
3
1
1
1
1
1
1
1
0
16
16
0
8
0
32
32
32
0
16
4
8
2
0
4
0
0
4
16
16
16
16
4
4
4
4
0
32
32
0
0
0
0
0
8
0
8
0
0
0
24
0
1
16
16
1
0
0
25
24
1
0
0
0
32
8
4
0
0
8
0
0
0
0
2
8
8
1
1
1
8
4
4
4
0
0
0
0
4
4
1
1
1
16
16
16
16
16
8
0
16
16
16
16
8
8
8
8
20
4
32
16
16
4
0
0
8
24
4
4
0
0
8
8
8
1
0
0
8
16
8
0
0
0
0
4
4
4
4
48
28
1
1
1
0
0
0
0
0
16
16
8
8
8
8
0
0
16
0
4
0
0
8
8
8
34
0
0
8
8
0
0
0
8
8
8
8
8
0
8
8
21
0
0
8
0
2
0
0
16
16
0
0
0
1
8
1
16
16
0
40
1
0
16
1
0
0
0
4
4
0
17
0
8
8
8
4
8
8
8
8
8
8
0
0
13
16
16
8
0
0
0
4
4
2
2
0
1
1
0
1
1
1
2
1
0
0
0
8
8
0
0
16
0
16
16
16
0
16
16
0
0
4
16
0
0
24
8
8
2
2
0
0
0
4
16
0
4
4
8
17
17
8
37
8
8
0
0
0
0
16
4
4
0
4
1
1
0
4
0
8
8
8
0
1
0
0
0
8
0
0
8
8
16
0
0
0
0
0
0
8
0
16
16
4
42
8
8
1
1
1
1
1
0
10
10
8
0
0
0
8
22
22
1
0
0
0
16
8
2
18
8
8
8
16
24
16
0
8
4
4
4
4
16
16
4
4
32
0
0
8
4
4
9
0
0
0
8
8
0
0
8
26
8
8
8
0
0
0
8
0
16
16
2
1
1
1
1
16
16
16
0
24
8
8
8
8
8
16
16
0
8
8
8
8
8
4
4
16
16
16
0
0
8
0
0
0
0
0
0
12
0
4
26
18
0
16
0
0
8
8
0
9
8
8
8
0
0
8
0
4
4
20
20
0
16
20
0
0
0
0
8
0
0
0
0
0
0
8
8
0
0
0
0
4
0
0
2
8
25
8
8
16
16
16
5
1
1
0
0
8
16
0
0
8
8
0
18
8
4
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
49
16
0
0
16
16
16
19
0
2
2
0
0
0
0
0
2
4
4
4
4
4
4
4
4
4
20
0
1
8
9
0
0
16
16
0
0
0
8
0
8
0
0
32
8
0
0
0
12
8
16
16
4
0
0
32
1
0
0
8
4
0
2
0
0
8
8
0
8
8
8
0
8
8
9
0
57
7
5
5
32
16
16
0
16
8
8
1
4
5
4
0
0
0
8
8
0
0
0
16
2
2
2
1
0
0
8
8
0
0
0
8
8
16
16
8
5
5
0
0
8
8
8
8
0
0
24
0
9
8
8
9
9
4
8
0
8
8
8
8
0
36
36
0
0
8
0
8
32
0
25
25
1
0
16
8
8
0
0
8
8
0
8
25
25
4
16
0
8
8
8
8
24
8
4
4
12
0
8
0
0
0
0
0
2
8
0
16
16
16
4
8
12
0
0
0
4
0
0
10
8
8
0
8
0
0
0
0
0
16
16
0
0
16
16
16
2
18
8
8
8
0
0
0
0
0
0
32
16
16
16
8
8
0
0
4
0
17
8
0
0
0
0
0
4
4
8
16
16
8
0
8
8
8
4
4
4
4
0
8
8
0
16
16
40
8
8
8
0
0
0
8
8
0
32
1
0
0
8
0
0
0
16
22
1
2
2
8
8
0
16
0
0
8
2
0
0
0
8
8
48
48
0
8
16
16
8
8
8
16
16
16
16
16
16
0
4
0
34
8
8
8
17
0
0
0
16
0
0
0
0
2
0
0
9
16
16
0
0
16
8
8
8
4
18
2
18
18
18
18
0
0
8
8
17
17
1
8
8
16
0
0
0
0
18
18
0
16
8
0
0
2
4
4
4
0
4
0
0
0
8
0
0
0
0
0
0
8
16
0
0
8
8
8
0
8
40
40
0
0
0
0
0
24
8
0
0
16
16
16
4
4
4
4
16
16
16
16
0
1
16
8
8
16
10
32
8
0
8
4
35
8
8
16
16
8
0
0
0
0
8
16
0
0
0
0
0
1
0
0
8
16
16
16
16
16
8
4
4
4
4
0
8
8
0
0
0
0
8
8
8
8
8
24
0
0
16
24
24
0
0
16
0
34
0
8
8
18
16
0
0
16
8
0
8
1
8
0
0
8
8
6
4
0
0
0
0
0
8
10
8
8
16
0
32
32
16
16
4
16
8
8
8
8
8
8
8
8
16
16
16
0
0
29
29
8
8
0
16
0
0
8
4
4
1
1
1
16
0
0
0
0
0
8
8
8
8
8
8
1
1
0
0
8
16
16
8
0
16
8
8
0
8
8
0
8
8
8
0
0
0
0
16
8
8
0
8
8
8
16
16
41
41
8
8
1
1
1
8
8
16
16
16
16
16
8
8
8
8
1
0
0
0
2
2
8
8
8
0
1
0
0
1
1
1
9
0
0
0
6
4
0
23
23
4
8
8
16
8
8
4
0
16
0
0
0
0
0
0
0
8
0
0
0
8
8
0
0
2
2
0
0
0
8
8
8
0
0
8
0
16
0
62
62
8
0
16
0
4
0
0
2
2
2
2
8
8
0
8
20
4
1
4
2
0
8
8
8
8
0
0
0
0
8
8
0
0
0
1
1
16
18
0
0
0
0
0
0
2
0
16
16
16
16
16
16
16
16
16
16
4
4
1
1
1
1
0
0
4
4
4
4
8
8
16
16
0
0
0
9
9
0
8
0
0
0
4
0
16
8
8
20
8
8
0
0
16
0
16
16
0
8
8
8
16
1
8
0
0
0
0
8
8
8
0
16
0
0
0
0
8
0
0
0
0
16
8
8
4
4
0
1
1
16
1
0
8
0
0
16
16
20
16
16
16
0
12
12
9
9
0
0
0
0
1
0
0
0
16
16
0
2
0
0
8
16
16
0
0
1
16
8
8
16
16
0
8
8
8
4
16
16
0
32
32
32
32
32
32
8
8
8
8
8
4
4
24
24
24
0
0
8
8
0
0
0
0
8
8
0
8
8
0
8
8
8
8
4
4
8
0
0
8
8
8
16
16
16
8
0
0
8
0
2
0
32
32
4
4
0
16
0
4
4
0
0
8
8
0
0
4
0
24
1
8
4
4
56
16
16
1
1
56
56
0
0
16
8
0
4
4
0
8
8
16
16
16
0
16
0
0
16
16
32
32
32
0
0
0
16
16
16
18
8
8
8
8
4
4
0
0
0
8
32
32
0
16
0
0
33
33
16
16
16
0
8
8
0
16
16
24
0
0
0
8
8
8
8
8
1
1
0
0
16
16
16
8
8
8
16
4
4
4
4
4
8
41
0
0
0
10
16
8
8
24
8
0
4
8
2
1
0
0
0
0
0
0
0
0
0
0
0
1
1
1
8
49
8
0
0
0
0
12
4
4
32
32
32
32
8
4
0
0
0
0
32
8
1
1
1
8
8
1
8
16
0
27
27
6
4
4
16
16
0
0
0
0
0
0
4
0
8
8
4
4
4
4
4
4
0
0
0
0
0
0
0
0
0
0
0
1
17
8
0
2
2
2
2
0
10
16
8
16
16
16
16
4
8
8
8
8
0
0
0
0
28
28
8
0
8
8
0
0
0
0
0
12
0
12
4
4
4
8
0
4
4
4
16
16
16
16
16
16
16
24
1
1
1
12
12
12
4
4
8
0
2
2
2
0
32
8
8
23
0
0
0
16
0
0
0
0
0
0
8
8
24
0
1
1
0
0
16
0
8
8
8
8
8
8
20
20
20
8
0
0
8
0
16
16
8
0
18
16
16
2
4
4
4
1
1
0
0
12
12
25
1
2
2
2
4
4
0
9
4
32
0
0
0
0
4
0
0
24
8
8
8
24
8
8
24
0
8
8
0
16
4
4
16
4
4
1
24
24
8
8
4
1
2
2
8
8
8
8
24
24
8
4
4
4
4
16
16
0
0
0
1
0
24
24
0
17
17
16
16
0
0
0
1
1
1
1
8
2
2
2
2
0
4
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
4
4
8
24
8
8
8
48
48
8
0
0
16
16
16
16
16
16
16
16
8
8
8
16
8
8
16
8
0
8
8
17
0
0
0
0
0
0
18
8
0
0
16
16
8
8
8
16
16
16
16
0
0
0
0
16
16
16
8
8
8
16
0
0
8
16
0
0
8
8
8
0
0
8
8
8
1
1
16
0
8
8
8
8
0
0
0
20
16
4
0
0
0
16
1
0
8
9
16
0
0
17
4
4
4
32
25
8
32
32
0
16
16
0
25
16
16
8
18
16
0
0
2
2
0
16
32
8
8
8
16
16
0
0
16
0
16
16
8
4
4
0
2
0
0
0
0
0
0
1
0
8
8
8
8
8
8
2
16
0
0
0
0
10
10
10
10
8
7
0
0
4
16
4
40
8
8
8
8
8
8
8
0
0
16
36
0
0
0
0
0
16
16
8
8
16
8
0
0
4
16
8
8
2
2
16
0
0
33
32
32
32
32
4
0
24
24
16
16
8
8
25
25
25
25
1
16
1
16
16
16
0
0
0
16
0
20
8
16
16
16
16
0
0
0
0
8
0
0
4
4
8
8
0
0
0
0
0
8
0
0
8
0
2
13
61
0
0
8
0
0
0
2
10
0
0
0
24
8
8
16
16
16
8
8
8
8
0
0
0
8
0
16
16
0
8
8
8
0
2
2
2
8
8
4
4
4
16
16
16
16
16
4
48
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
20
8
0
8
8
0
37
37
37
8
8
0
8
0
5
5
5
5
8
2
2
2
2
2
2
8
0
8
8
16
1
0
0
8
8
0
0
8
8
8
0
0
8
0
6
8
0
8
8
0
8
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
16
16
16
21
8
0
4
0
0
0
0
24
0
8
1
0
4
16
18
18
18
18
0
32
16
17
16
0
2
0
0
16
16
8
8
48
48
8
0
8
8
0
2
2
2
2
8
8
0
0
0
0
16
10
2
16
16
16
1
1
0
0
8
16
17
0
0
16
8
8
8
8
9
8
0
0
0
0
0
8
8
0
0
0
2
8
32
32
25
25
16
48
16
0
0
0
39
16
8
8
1
0
16
16
8
0
24
24
16
24
8
0
0
24
0
16
16
20
2
1
0
8
0
16
16
16
16
8
1
4
8
8
8
8
8
0
0
0
8
8
0
0
0
0
8
0
0
0
0
8
8
0
0
0
0
2
0
16
16
0
0
0
8
0
8
0
0
0
8
16
0
0
8
16
16
16
16
0
0
16
16
16
2
0
0
0
0
1
1
0
2
0
0
0
0
1
8
8
0
0
0
8
8
8
16
8
8
8
8
1
0
0
0
8
0
0
0
0
0
8
8
0
0
8
16
1
32
16
4
0
0
0
40
16
8
8
0
20
4
0
1
16
16
16
16
8
8
4
8
8
0
16
0
4
4
0
4
8
12
16
0
0
0
0
0
0
0
0
8
16
16
8
8
8
8
20
20
0
4
20
16
0
8
8
0
8
0
0
0
8
9
0
24
8
16
16
0
0
8
8
48
4
4
4
5
5
16
8
8
8
16
0
0
8
8
27
27
32
32
8
8
0
0
0
0
3
3
16
8
16
0
0
0
0
32
0
0
0
0
0
0
0
16
32
32
9
0
0
8
32
0
0
0
1
0
0
0
8
13
13
0
1
0
16
0
0
32
32
32
0
0
0
0
0
0
0
0
4
4
16
16
1
8
4
17
0
8
0
4
16
0
0
0
8
8
8
8
16
0
0
0
0
0
0
0
0
2
2
2
2
2
0
4
8
16
16
9
11
11
0
0
0
8
56
8
16
8
4
8
8
8
8
8
17
17
16
0
8
8
8
0
0
0
0
0
0
0
0
8
26
26
2
2
0
0
16
16
24
8
8
16
48
16
1
4
4
8
16
4
4
2
8
8
0
1
1
0
0
0
8
8
16
24
4
4
25
48
8
2
16
0
0
0
1
1
8
8
8
0
16
0
0
0
0
0
0
16
4
8
8
0
8
0
2
2
2
0
8
0
16
16
0
0
16
24
24
24
8
0
0
16
0
0
0
0
0
8
32
32
0
0
16
16
0
0
0
0
8
8
0
0
0
10
2
16
0
0
4
0
0
0
0
0
8
0
0
16
8
40
40
40
0
8
1
2
2
8
8
8
16
16
0
0
0
0
8
8
8
20
0
0
16
16
16
1
0
0
8
9
4
4
8
1
16
8
8
16
0
0
0
0
32
16
16
16
16
16
0
0
0
0
24
28
18
18
8
8
8
8
8
0
16
16
8
8
0
8
0
8
8
8
8
0
0
16
0
8
8
0
0
0
0
0
0
8
32
32
32
32
32
32
32
32
32
32
1
1
1
1
1
4
4
0
0
2
2
0
0
8
16
16
16
0
0
4
0
0
16
16
16
16
16
16
0
8
8
16
1
8
8
4
0
0
8
32
32
33
33
0
16
0
16
16
8
2
0
1
17
0
0
2
2
0
16
16
8
8
8
0
0
0
0
8
8
8
8
8
0
0
0
24
24
16
16
16
16
16
0
8
8
8
0
8
4
0
16
6
6
0
0
8
8
8
0
0
0
16
16
16
8
8
0
8
40
0
8
0
8
8
8
8
2
2
8
4
8
8
16
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
33
33
33
0
0
0
0
0
0
16
16
16
0
8
0
0
0
0
8
8
16
16
0
16
16
4
4
8
8
0
24
0
8
8
8
0
0
0
0
0
8
8
8
8
8
38
0
0
24
41
41
0
0
0
0
0
16
13
16
8
8
0
0
16
5
5
5
1
16
8
8
8
8
58
16
16
16
4
0
8
0
0
0
16
32
32
0
0
16
13
13
13
8
5
4
4
8
7
7
8
12
12
4
24
8
8
8
8
0
8
8
0
0
0
0
0
8
24
0
0
0
16
10
8
8
8
8
8
3
0
0
0
0
12
2
0
24
0
16
16
16
16
16
2
2
2
8
0
4
48
48
0
4
0
0
0
2
0
0
0
0
9
0
0
8
0
16
9
9
9
9
8
0
0
0
4
4
16
24
16
16
16
8
16
4
2
0
8
8
8
8
0
0
0
48
48
8
8
0
0
0
0
0
0
0
8
8
2
0
8
0
24
0
8
16
8
16
0
16
4
4
0
0
0
20
1
1
1
4
29
4
0
0
0
8
8
8
1
0
0
6
0
16
16
8
8
8
8
33
33
20
0
0
8
24
0
0
0
0
0
2
1
0
8
0
16
0
0
0
4
1
0
8
16
8
0
8
0
0
0
0
0
8
8
0
0
0
8
0
8
8
32
16
16
16
4
4
4
0
0
0
0
0
0
0
0
16
8
0
0
0
8
8
8
4
4
4
16
16
0
0
8
8
16
16
16
16
16
0
0
6
8
6
8
16
4
4
4
8
0
16
2
2
2
2
2
0
4
8
8
4
4
4
0
24
8
0
16
0
8
8
8
8
8
0
0
20
8
8
3
0
16
0
16
24
17
9
9
9
9
16
8
8
8
8
0
48
48
32
32
8
0
0
0
8
0
0
24
0
24
0
0
8
8
0
16
16
8
8
8
16
32
32
32
16
8
8
0
0
0
0
8
8
8
0
2
10
16
16
16
16
16
16
16
16
16
8
8
0
24
8
8
0
0
8
0
8
8
8
16
0
2
1
1
1
1
1
0
0
0
0
0
4
4
0
4
4
4
4
0
12
12
0
16
0
16
16
16
46
12
12
24
0
0
0
4
16
17
16
2
0
32
0
8
8
0
0
16
16
16
16
16
16
16
16
16
0
0
0
0
0
1
4
4
4
4
16
16
16
16
16
16
16
16
0
4
4
16
0
1
1
0
17
17
16
16
16
16
8
8
54
4
36
32
24
16
16
54
0
0
33
8
8
16
16
16
8
8
8
8
8
4
4
8
8
0
0
4
4
16
16
17
1
0
24
24
24
24
8
8
8
8
16
1
1
1
1
1
1
1
1
0
0
0
1
1
1
0
8
8
8
0
8
8
8
0
16
16
2
0
8
56
57
8
16
16
16
2
4
4
4
0
0
0
0
0
0
0
0
32
1
8
8
8
12
12
4
4
4
8
8
16
8
0
0
0
8
0
16
8
8
8
16
16
16
0
0
0
0
0
16
24
2
0
0
4
4
4
0
0
16
8
0
8
16
16
20
20
8
8
8
0
4
4
13
12
8
16
0
1
1
0
4
4
24
24
2
0
1
8
48
16
1
1
16
16
16
16
16
8
8
8
0
0
8
8
0
16
16
8
8
8
0
2
16
16
16
8
8
0
32
20
16
16
0
0
0
1
1
8
8
16
16
4
4
4
0
18
18
53
53
53
0
16
16
16
8
8
8
8
8
8
0
0
0
8
8
8
8
0
9
1
1
0
10
4
4
1
1
4
0
1
1
4
4
4
0
0
0
8
8
8
8
8
18
0
8
8
0
0
0
0
0
0
8
0
8
2
2
1
0
0
0
0
0
0
0
0
0
8
16
16
0
0
16
8
8
8
8
8
1
16
16
16
0
0
2
0
0
16
0
0
0
0
2
8
0
8
8
8
8
0
0
0
0
16
0
0
32
32
1
16
1
0
4
0
8
16
16
16
0
0
8
8
8
16
16
0
0
0
8
0
0
0
24
8
8
16
8
0
8
8
8
0
0
0
0
0
0
0
0
0
16
8
16
20
16
0
28
0
2
1
28
32
0
0
0
16
16
8
0
8
16
16
0
0
16
0
4
0
0
1
16
4
8
0
4
4
0
0
0
20
8
4
4
8
8
0
8
1
8
8
8
8
8
0
0
0
0
8
1
25
1
1
8
0
0
0
0
0
16
16
16
16
24
1
1
1
5
5
4
4
4
4
16
16
20
0
0
0
0
8
8
8
0
0
0
0
16
16
8
0
8
16
0
16
16
0
2
8
16
25
16
16
8
8
16
4
4
8
8
0
0
0
0
0
1
1
8
16
8
0
16
4
0
16
8
0
0
0
0
0
0
0
0
8
8
0
8
0
2
16
1
1
18
18
18
8
48
4
4
0
8
8
8
8
2
6
0
0
1
8
32
4
28
4
0
0
0
4
2
4
4
8
8
8
16
16
16
0
0
0
16
16
16
16
16
0
0
0
0
0
0
0
0
0
2
0
8
16
59
8
0
0
0
8
8
8
0
0
0
0
0
4
12
4
21
8
2
2
8
8
8
8
0
1
1
1
16
16
0
18
18
4
2
2
39
39
16
0
8
8
8
8
0
0
8
4
0
0
0
16
0
10
8
0
16
4
9
8
32
0
0
0
12
12
12
16
4
4
4
4
4
4
4
4
0
0
0
14
14
14
14
14
8
8
8
8
1
32
1
1
0
0
0
16
0
8
8
6
0
2
4
4
0
0
16
0
16
8
1
22
22
22
22
22
16
16
0
0
16
16
16
16
16
32
1
0
0
0
0
0
0
0
8
8
24
8
16
16
8
10
8
0
21
21
8
16
16
0
8
1
0
0
0
16
16
16
4
4
4
4
4
0
0
0
8
0
8
8
8
8
8
0
0
8
4
0
0
2
2
0
8
17
16
34
32
0
2
16
8
0
0
32
0
0
24
0
8
8
16
0
16
0
0
0
0
4
0
0
8
1
8
8
8
20
4
4
0
8
8
18
16
16
16
0
16
0
0
12
8
8
16
0
0
0
0
0
0
0
0
4
2
0
8
8
8
8
8
0
0
8
16
16
16
0
4
8
0
0
16
1
0
8
1
1
8
1
12
8
12
0
0
8
8
0
0
0
0
0
0
0
0
0
32
0
8
9
0
4
4
0
0
1
2
8
8
8
8
0
2
2
8
0
0
4
4
0
1
0
10
10
0
32
24
16
16
16
16
4
4
0
0
4
7
7
8
0
0
0
25
0
32
32
32
0
0
0
0
0
8
16
16
48
16
4
4
32
32
32
32
0
4
4
4
4
16
0
0
0
0
0
16
0
16
1
1
8
8
8
8
8
2
16
0
0
0
8
8
8
8
0
0
0
0
16
16
16
0
0
8
16
16
16
8
8
12
12
0
0
0
0
0
0
0
0
1
8
0
16
1
2
2
2
2
2
2
0
8
0
8
8
0
0
0
0
16
0
8
8
0
0
24
0
16
16
4
0
0
0
12
0
0
0
0
8
16
16
2
2
2
0
16
0
0
16
9
9
16
16
0
1
1
1
8
16
16
2
1
0
0
16
16
0
1
1
1
16
4
0
0
8
0
0
0
8
8
16
16
4
4
6
0
1
1
12
0
0
0
16
16
8
8
8
8
0
0
0
0
4
11
27
4
8
8
12
2
2
4
16
16
8
8
8
0
0
0
0
0
0
0
16
8
18
16
5
8
0
16
16
16
16
16
0
0
0
0
0
26
0
16
16
16
8
8
1
1
1
1
1
1
16
0
0
0
0
0
16
16
16
0
0
0
0
0
0
16
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
8
8
2
2
0
0
0
2
0
8
8
16
8
8
0
0
2
8
8
0
0
1
12
12
0
0
0
0
0
8
8
4
3
3
3
2
2
0
16
0
0
0
8
0
16
16
16
0
8
8
8
8
8
48
8
8
0
0
0
22
1
8
33
33
32
32
32
32
16
16
16
0
0
0
0
8
8
8
32
0
24
24
16
16
0
0
8
8
8
0
0
0
0
9
8
8
8
0
16
0
0
8
2
2
0
0
0
0
0
16
25
4
4
0
8
9
9
0
0
16
16
16
16
16
28
4
1
0
0
2
2
4
4
0
16
16
0
8
8
8
8
0
0
0
0
0
0
0
32
8
8
4
4
8
2
0
0
4
4
8
8
16
16
8
0
8
36
36
36
36
32
0
24
8
8
8
40
40
8
8
8
0
8
16
1
8
8
8
16
16
16
16
8
0
8
8
8
8
8
8
16
8
0
0
8
16
16
16
16
16
16
16
16
16
0
0
32
4
8
32
8
8
12
16
16
0
0
0
8
8
4
4
0
0
41
0
0
0
0
21
48
48
2
2
4
4
16
2
2
8
0
0
0
0
0
16
2
2
2
2
2
2
2
0
0
0
0
8
32
0
8
1
0
0
12
4
4
0
0
0
0
2
0
8
0
24
24
24
0
8
0
0
0
0
0
0
8
8
9
9
9
9
9
9
16
12
0
16
4
4
8
0
8
8
0
0
2
2
8
4
4
4
4
4
4
4
0
20
9
44
24
2
36
52
16
8
8
0
2
2
0
8
8
8
0
0
12
20
20
20
20
20
2
8
16
16
0
0
0
16
0
0
0
0
4
0
16
16
16
16
0
0
0
0
18
2
16
16
16
24
24
24
24
2
24
0
4
4
0
4
4
4
18
0
16
16
16
0
0
8
8
0
12
24
24
8
8
32
32
8
8
8
8
4
4
1
4
5
5
16
16
16
0
8
22
8
8
16
0
0
16
16
16
16
16
16
1
1
4
4
0
8
2
2
0
8
8
8
8
16
16
8
8
0
0
0
0
0
0
4
4
4
8
0
0
8
8
21
21
0
0
0
0
4
0
0
0
0
1
1
24
0
25
0
0
0
8
0
8
8
8
8
8
8
24
16
16
8
2
8
1
32
8
20
8
8
0
10
2
0
43
43
43
0
0
17
0
8
8
8
8
0
4
8
8
8
0
8
8
8
4
4
4
8
0
8
0
0
57
57
0
0
0
0
8
8
8
0
0
0
0
0
0
0
24
0
8
8
8
8
16
16
16
0
0
8
8
8
20
20
0
5
8
0
0
0
1
16
16
8
16
0
0
16
4
8
0
0
0
0
2
2
25
25
0
0
0
0
0
0
8
8
0
0
0
0
0
8
0
16
16
8
8
8
8
8
24
8
8
8
8
8
8
8
8
8
8
8
8
24
8
8
0
0
2
2
2
2
2
8
8
8
8
8
0
16
16
16
16
16
16
4
2
2
8
4
0
0
0
20
20
20
20
0
0
0
0
0
0
0
0
0
57
8
40
40
32
24
24
24
1
1
4
4
8
4
0
0
40
18
18
18
8
0
16
16
16
16
16
16
0
0
0
16
16
4
0
16
0
1
5
16
16
16
16
8
8
8
0
24
24
24
8
8
8
0
0
0
8
0
4
4
4
0
8
0
8
8
0
16
2
10
1
1
1
1
1
1
0
0
16
16
16
8
8
8
18
18
8
8
4
16
0
16
16
0
16
16
24
16
2
2
8
2
29
29
29
8
8
4
16
16
16
0
8
8
0
8
8
8
8
8
0
0
0
0
16
16
8
8
8
8
8
2
2
2
4
8
0
0
0
0
24
24
24
0
8
8
0
16
16
0
0
0
8
1
32
0
8
8
0
8
8
8
0
8
8
0
0
0
0
0
16
1
24
8
8
26
26
8
1
1
28
0
0
16
0
0
16
4
16
1
0
16
16
20
0
16
4
4
18
4
22
22
0
0
16
16
20
0
0
0
0
0
0
0
0
4
4
4
4
4
4
4
0
0
8
8
44
0
8
8
8
6
6
4
4
0
0
8
8
8
0
8
4
4
4
4
4
4
4
8
8
32
32
32
4
4
4
0
0
0
0
41
41
9
9
0
16
36
8
8
4
4
0
0
0
12
8
16
16
16
16
16
16
16
16
16
16
16
16
0
0
16
8
8
8
8
0
2
13
13
13
0
8
8
0
0
0
0
0
0
0
16
16
0
8
0
0
8
32
8
0
8
8
8
8
16
0
0
0
0
0
8
8
0
8
8
8
0
8
16
0
0
0
0
0
1
0
0
0
0
0
17
0
0
4
4
4
4
0
0
0
0
8
0
0
0
0
0
0
0
0
0
1
0
12
12
16
16
56
8
8
8
8
18
0
8
0
0
0
0
8
16
16
16
16
0
0
0
0
16
1
0
16
4
4
4
4
4
4
4
4
16
16
16
0
4
4
0
0
0
0
0
0
32
32
32
8
0
0
8
8
8
32
6
6
0
0
0
16
8
8
8
8
8
4
8
8
0
0
24
24
32
8
8
8
0
8
8
18
0
8
0
0
0
0
0
0
0
16
16
12
8
8
0
2
0
0
0
2
1
1
25
25
25
25
0
0
4
0
0
8
8
8
56
0
0
2
8
4
4
0
0
16
32
32
32
8
4
4
0
0
0
0
0
16
18
16
0
0
20
20
16
1
8
0
8
16
8
8
16
12
0
0
0
1
16
16
10
4
16
8
8
18
12
2
2
56
4
0
0
2
2
0
0
0
8
8
8
8
8
21
21
8
8
24
8
9
8
40
40
16
16
8
8
0
16
16
16
0
8
8
8
8
6
32
32
16
4
12
8
16
0
0
0
0
16
0
8
0
0
0
16
1
4
8
8
8
8
8
0
0
0
1
1
0
16
8
8
4
4
0
4
4
16
8
8
16
16
16
0
0
0
0
0
0
24
0
16
0
8
8
4
0
8
8
0
0
0
16
16
16
1
1
24
24
24
8
8
19
40
8
8
8
8
8
8
0
0
0
0
0
0
4
4
4
16
16
16
16
16
8
8
8
4
4
8
16
24
8
16
0
8
4
0
8
0
18
5
8
16
8
8
16
16
8
8
17
17
17
0
0
0
0
8
8
8
16
8
0
58
4
2
24
8
32
32
0
24
4
16
16
16
16
16
16
8
8
8
0
16
16
40
19
2
8
20
0
32
32
32
32
16
16
16
16
16
16
0
10
0
16
8
16
0
0
0
0
0
17
17
12
8
8
8
0
0
0
0
0
16
4
4
0
0
8
16
0
0
32
32
32
1
1
1
0
0
16
16
8
2
2
2
16
0
0
1
0
0
0
16
16
16
16
16
0
0
8
0
0
0
0
32
0
8
8
8
0
17
17
48
48
16
8
8
0
16
16
14
14
0
0
8
20
20
24
8
8
2
0
4
0
0
0
0
9
25
25
25
0
0
8
8
8
0
0
0
1
0
0
2
2
2
2
16
22
24
0
4
8
8
20
20
0
49
49
49
16
16
1
0
0
16
0
2
0
0
0
1
5
0
0
0
0
32
0
0
0
0
0
8
8
8
8
38
2
0
0
0
0
16
16
16
4
8
8
4
0
0
0
0
0
0
32
32
16
16
4
8
8
0
8
8
8
8
8
40
2
2
8
0
0
16
2
4
0
0
32
0
8
8
8
0
0
4
4
4
4
4
8
0
8
0
0
0
16
16
16
8
0
0
8
0
28
0
1
0
4
1
1
0
0
0
16
16
16
16
53
12
12
20
4
4
20
2
2
16
16
24
2
2
16
16
16
16
4
0
0
4
40
0
8
8
0
0
0
0
0
0
48
2
2
2
8
16
2
2
2
2
2
8
8
8
8
5
8
8
0
0
8
8
0
4
8
8
8
8
8
8
8
0
2
2
2
8
16
16
16
16
16
16
0
0
16
16
16
18
8
4
6
6
6
6
0
0
0
1
8
0
0
8
8
8
0
0
24
24
16
16
16
0
0
0
0
0
1
1
1
1
16
16
16
16
0
0
0
0
0
0
0
16
16
16
16
16
16
24
16
8
8
8
8
8
0
8
8
40
40
8
16
0
16
16
16
16
16
16
32
0
0
0
1
8
1
16
4
8
0
0
0
16
0
0
1
16
16
16
16
16
16
16
16
0
0
16
16
16
24
0
0
8
8
0
0
8
8
8
0
32
0
0
16
0
1
8
8
8
0
12
8
8
0
0
16
16
16
16
16
4
4
4
4
4
4
16
16
16
8
16
32
32
32
0
1
1
1
4
24
24
0
0
0
0
16
0
17
20
20
20
20
0
8
2
2
0
0
13
1
16
16
16
1
1
1
1
14
14
14
14
0
4
0
0
4
4
4
16
0
32
11
11
2
9
32
0
0
16
8
16
1
1
0
8
8
8
4
4
16
0
0
4
8
8
1
4
8
8
1
10
0
8
8
0
0
0
0
0
0
0
8
8
0
0
18
18
16
16
16
32
17
0
0
0
0
8
0
0
8
8
8
8
8
0
8
8
8
16
16
16
16
16
0
0
8
4
8
8
8
8
0
0
0
0
0
2
1
1
1
0
0
8
8
8
8
0
0
0
4
0
0
0
0
0
8
8
1
1
1
1
18
16
16
0
0
0
26
8
16
0
0
0
0
0
16
16
16
16
17
17
17
17
9
0
16
16
8
16
6
6
6
2
19
16
8
8
4
16
0
2
2
2
0
0
8
4
8
8
8
8
0
0
16
32
20
16
0
0
0
26
49
49
0
0
0
18
1
8
0
8
8
8
8
0
0
0
0
0
0
0
0
8
8
0
44
44
0
2
0
48
48
48
8
8
8
8
8
20
0
16
16
7
0
0
0
1
1
1
12
8
14
4
0
16
8
8
0
16
16
8
2
0
0
16
16
4
4
0
8
8
8
1
1
4
4
0
8
8
1
1
0
0
2
24
0
0
0
0
0
0
0
10
10
0
8
24
16
16
0
0
40
8
8
1
1
8
2
0
0
6
6
0
0
2
16
8
8
1
40
40
40
40
8
16
4
16
16
8
8
8
0
0
0
0
0
0
48
24
24
24
24
0
0
0
0
0
0
8
8
8
8
20
16
16
0
0
32
0
0
2
8
8
8
16
16
16
16
0
16
8
16
0
8
41
0
0
8
0
0
4
4
4
0
0
0
8
8
8
0
0
0
0
0
12
0
0
0
0
4
4
1
32
16
0
8
16
16
16
16
16
4
8
8
8
0
0
0
8
8
8
16
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
8
8
16
16
16
16
1
1
8
8
8
0
0
5
0
24
24
12
0
0
18
30
8
16
12
13
4
1
1
1
8
8
8
0
0
4
0
16
0
0
8
8
8
16
4
8
8
24
24
24
24
24
24
24
10
8
8
16
0
16
16
24
41
8
0
0
1
1
8
0
16
8
8
1
0
2
8
4
4
0
0
8
8
8
8
0
0
0
0
0
0
16
0
2
2
4
4
8
8
8
0
16
16
8
16
0
0
0
0
0
0
16
16
16
16
0
0
1
2
0
0
8
8
8
0
0
0
18
18
18
0
0
48
8
4
16
16
16
16
16
16
0
0
0
0
8
0
0
16
16
8
8
8
16
16
16
1
1
1
0
0
8
0
0
0
8
0
0
0
0
10
0
0
8
16
16
16
16
8
8
0
0
0
32
8
16
4
16
0
0
0
2
2
16
2
2
8
4
12
12
0
8
1
8
8
8
8
0
0
16
0
8
8
8
8
8
0
0
16
0
0
16
16
8
8
32
32
32
32
32
8
8
8
8
9
8
8
0
1
1
8
8
0
0
4
16
1
16
8
0
8
8
16
1
1
1
1
8
0
0
0
0
9
32
32
0
0
0
0
8
61
8
8
2
2
8
0
0
4
10
10
0
8
8
8
8
8
8
40
16
4
0
0
0
0
0
0
32
0
16
0
0
0
0
0
0
0
0
8
1
0
8
8
0
32
32
0
16
16
0
2
16
16
16
8
8
8
8
0
0
0
0
8
0
0
0
0
8
8
1
16
1
0
32
32
32
4
8
0
4
32
32
32
32
32
8
8
8
8
8
16
16
8
8
0
0
0
8
8
8
8
8
16
0
0
0
0
0
0
1
0
4
8
0
0
0
24
0
0
0
0
0
0
0
2
0
0
0
0
0
24
4
4
16
0
24
24
24
0
16
0
0
0
8
8
8
32
32
8
8
16
0
18
18
18
8
4
1
0
0
0
0
8
8
3
0
0
8
9
0
0
8
8
0
16
16
0
8
1
1
8
8
8
8
8
8
0
8
1
0
0
0
32
0
0
0
0
0
0
16
0
0
0
0
1
2
2
2
8
8
0
4
8
0
0
0
16
16
0
2
2
2
0
0
0
8
16
16
8
24
1
1
1
1
1
16
8
8
8
8
8
8
8
8
0
12
12
8
8
8
32
0
0
0
8
16
4
0
0
0
0
8
8
8
6
6
0
4
4
8
0
8
8
8
0
0
16
16
0
0
0
30
30
0
0
8
8
16
24
0
8
8
8
8
8
8
16
16
0
0
4
0
8
8
8
0
8
18
8
8
8
0
0
8
8
0
8
0
8
0
0
17
32
1
1
1
1
1
8
8
8
9
8
0
4
4
4
4
8
33
0
8
8
8
8
16
16
16
0
16
0
8
4
0
16
16
16
8
8
8
0
0
0
8
0
1
20
4
0
0
0
0
0
36
0
4
4
4
4
4
4
2
8
0
0
0
0
0
0
0
0
8
2
2
2
0
0
0
0
0
0
1
1
1
8
8
8
8
4
12
12
12
12
12
16
16
16
8
1
16
16
16
4
16
16
27
16
10
8
8
16
16
1
8
0
8
8
8
8
0
0
4
4
4
0
10
2
0
2
2
2
0
9
0
8
0
0
0
0
0
16
0
12
12
12
12
12
12
12
12
12
0
8
8
8
0
8
8
8
8
8
8
8
0
0
8
0
16
0
0
0
0
1
0
4
36
0
16
16
16
16
16
0
4
0
8
0
0
8
8
4
8
8
1
8
8
1
1
26
24
0
8
8
8
16
8
8
8
8
0
0
8
0
8
4
4
14
14
8
0
8
8
16
20
0
1
32
0
0
0
0
0
32
0
0
12
8
8
16
16
2
2
8
16
16
16
16
16
16
0
0
1
1
1
1
1
1
1
1
1
1
1
3
27
0
16
8
8
1
1
4
8
24
8
8
49
49
0
0
0
19
0
8
8
8
8
8
0
0
0
0
0
16
0
0
0
12
16
16
16
16
16
0
16
16
0
0
0
0
1
17
17
17
0
0
0
0
8
8
8
8
8
4
4
2
28
8
2
0
16
16
24
8
8
8
8
8
8
8
8
8
8
0
16
16
8
0
8
8
8
16
16
8
0
0
0
0
8
4
4
2
2
4
5
4
8
8
4
1
32
8
0
0
8
4
16
2
2
3
5
13
5
5
5
1
2
0
0
0
18
18
8
8
16
0
16
0
8
0
0
1
16
4
0
8
8
8
0
2
2
0
8
0
8
2
0
0
0
8
8
48
0
2
15
0
0
2
2
0
0
0
2
16
16
16
0
16
9
0
8
24
1
0
0
8
0
0
16
16
17
8
8
0
8
8
8
16
16
16
16
24
24
0
24
4
1
2
0
4
16
0
0
0
8
8
16
16
16
0
0
0
0
1
36
0
4
4
0
0
0
0
16
0
6
8
4
4
0
0
0
2
2
2
4
8
8
8
8
0
0
18
16
0
4
0
8
32
16
16
32
16
16
16
0
0
8
16
16
16
16
8
8
16
2
0
0
4
0
0
0
0
8
56
4
0
0
8
16
0
16
0
0
8
1
8
32
0
0
0
2
8
8
0
0
0
0
0
16
0
0
16
16
16
16
2
2
16
16
16
8
16
8
2
0
0
6
8
8
8
8
4
8
0
16
0
0
0
0
0
0
0
0
8
0
16
16
16
4
8
6
6
1
0
0
8
40
4
4
4
0
0
0
4
4
4
8
12
8
8
8
0
8
8
8
2
2
2
0
0
1
12
8
8
0
10
10
10
16
16
16
8
8
8
0
8
8
8
0
0
0
0
0
0
8
8
8
10
8
8
22
22
8
8
8
16
24
8
8
8
8
8
8
0
0
4
4
4
0
0
0
0
8
0
2
15
4
8
8
8
8
2
0
0
0
4
16
16
16
16
41
8
8
8
8
8
0
8
8
8
8
1
1
1
10
10
8
0
2
0
16
10
8
26
8
8
18
18
18
18
16
16
16
16
16
16
16
16
16
9
9
8
8
4
16
16
0
0
0
0
8
0
16
8
0
0
24
24
24
16
16
8
16
16
16
16
8
8
8
8
0
8
2
2
8
8
8
0
20
32
32
32
16
8
0
0
8
8
8
8
8
4
4
18
18
18
2
20
20
0
0
4
4
0
24
24
17
18
0
16
16
0
3
3
0
0
0
0
16
16
16
16
16
0
8
8
8
8
8
8
20
0
0
10
2
8
8
0
8
8
8
8
8
8
8
8
8
16
40
24
0
16
16
16
0
0
0
0
8
0
0
0
16
45
0
0
0
0
0
8
8
16
0
4
0
0
0
0
0
0
0
0
0
1
1
1
8
12
8
8
32
32
16
8
8
8
8
8
8
0
2
2
0
8
16
16
16
0
0
0
8
8
0
0
1
1
1
1
0
0
8
2
0
4
8
8
16
16
16
0
0
0
2
2
2
2
2
16
16
0
4
0
8
3
0
1
1
57
57
57
4
4
8
4
0
8
0
8
8
16
1
1
24
8
0
24
0
4
4
4
4
4
8
8
8
0
17
17
19
19
19
0
0
0
8
8
8
8
0
8
0
8
1
0
0
8
8
8
8
0
0
16
8
16
24
24
0
4
0
0
0
16
8
16
8
8
8
8
8
1
1
16
16
32
8
8
0
4
8
20
20
20
24
24
24
24
0
0
0
16
24
8
0
0
0
8
0
4
0
0
0
0
0
0
4
4
4
0
0
0
16
8
8
8
8
0
0
0
16
4
20
0
4
0
16
0
6
6
0
8
0
8
0
0
8
0
0
0
0
0
16
16
16
16
16
0
8
0
16
8
16
16
16
16
16
20
4
0
16
16
16
16
0
0
0
0
8
8
0
20
16
16
8
0
4
4
4
4
0
16
8
0
0
0
0
1
1
1
8
8
0
0
0
0
0
16
16
16
8
8
8
8
16
16
24
8
8
8
8
0
0
8
8
8
8
8
0
0
0
0
1
0
0
32
8
1
1
1
0
16
8
20
10
2
2
0
0
12
8
32
16
16
16
0
9
0
1
1
1
1
8
0
1
0
8
8
8
8
18
18
8
16
2
42
4
4
4
4
0
0
4
21
5
4
4
4
32
0
16
16
16
16
16
0
0
4
4
4
4
4
8
0
0
0
0
9
0
0
4
0
8
8
8
8
8
8
16
16
16
16
16
16
16
8
8
8
8
1
1
0
16
0
0
32
32
32
32
9
0
2
0
8
0
2
2
2
18
8
8
8
0
18
18
18
18
24
24
0
0
16
8
8
8
24
24
24
24
0
0
8
8
12
4
0
0
0
20
20
8
0
0
0
0
0
4
16
16
0
0
0
16
4
0
0
8
8
8
8
8
8
8
8
8
8
0
8
8
24
0
0
4
28
8
8
8
16
16
16
8
8
4
4
8
9
0
0
0
0
0
32
16
8
0
0
8
48
4
4
4
4
4
0
1
1
1
0
2
2
2
2
4
22
17
17
4
16
16
0
0
4
4
32
32
8
8
8
8
8
8
0
4
4
0
8
0
0
8
8
2
0
0
4
0
17
8
8
8
16
16
20
8
8
8
8
8
8
0
0
0
32
0
0
0
8
8
0
0
29
32
32
32
32
32
8
8
8
8
8
8
0
0
20
8
8
8
8
8
4
4
4
0
16
16
16
16
16
16
16
16
16
18
8
0
0
16
16
16
0
0
0
0
0
22
16
0
0
16
2
2
8
0
0
0
16
16
0
0
0
24
8
0
0
16
16
16
16
16
16
8
1
1
0
0
0
0
34
18
8
8
8
0
16
0
0
0
32
32
32
32
32
8
16
21
16
16
0
16
16
8
1
1
1
0
0
0
0
0
32
32
32
13
4
0
19
13
13
8
8
14
14
0
4
16
4
0
0
0
0
0
0
12
4
40
40
56
8
1
0
0
0
0
0
1
1
1
1
0
8
8
0
0
0
0
0
8
8
18
0
1
1
32
32
0
18
0
8
25
25
16
0
4
0
0
0
1
1
1
0
0
0
16
16
56
8
8
4
8
8
8
8
8
9
24
16
16
16
4
0
16
0
0
0
1
1
1
0
0
0
0
0
1
16
16
0
0
4
4
4
0
8
12
0
0
0
16
16
0
0
0
0
0
0
16
8
16
16
40
0
0
8
24
24
8
16
8
8
0
0
0
0
0
8
0
4
36
8
0
40
16
8
0
16
16
0
0
4
0
0
6
4
2
8
0
18
8
8
16
0
0
8
8
2
0
0
8
0
32
8
8
0
0
8
8
8
8
8
8
8
8
16
0
0
56
16
16
18
8
2
0
0
0
48
0
0
0
0
0
0
0
0
4
4
8
8
8
8
8
9
2
2
0
0
8
0
56
16
8
8
8
8
8
8
8
8
8
8
0
0
0
0
1
1
1
1
1
0
0
0
8
8
8
8
16
16
0
0
0
0
0
0
2
32
32
32
32
0
0
0
15
4
4
4
4
2
2
2
8
9
0
0
8
24
24
24
24
48
48
0
0
8
8
8
0
8
8
8
0
8
4
8
4
4
4
0
0
8
8
8
8
0
0
0
16
0
0
0
0
0
0
0
25
8
0
0
0
0
8
16
16
1
1
0
4
0
0
0
0
0
0
0
8
16
0
0
0
0
16
4
4
8
8
1
1
1
4
4
16
16
0
0
0
0
16
8
0
24
24
24
1
1
16
16
0
4
4
4
4
16
16
16
0
0
1
0
32
0
16
16
8
0
0
16
16
16
8
8
16
16
16
16
16
16
16
5
16
0
4
4
4
8
8
4
4
4
8
8
8
8
0
0
0
0
0
2
2
2
32
32
0
16
0
0
0
0
16
16
4
4
8
24
4
0
8
8
2
8
0
0
0
0
32
8
8
16
1
1
16
16
16
16
16
16
9
16
1
1
1
0
0
16
16
24
0
16
16
16
0
0
8
16
16
0
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
8
4
0
16
0
2
2
2
2
2
0
0
0
0
0
0
2
17
4
0
0
8
8
8
8
16
16
16
16
16
16
0
2
2
0
20
20
8
8
8
12
4
16
8
24
0
8
8
8
8
8
8
16
16
4
16
16
16
16
16
16
4
4
1
1
0
0
16
0
8
0
0
8
8
8
8
0
0
8
4
4
4
0
0
1
0
2
2
2
16
16
16
0
0
0
24
24
0
24
24
8
4
0
0
16
0
0
0
8
8
8
8
8
8
8
8
2
0
16
16
16
8
8
0
10
10
16
16
16
16
4
1
1
12
4
0
40
40
40
40
40
8
8
8
8
24
8
0
0
32
0
0
8
16
0
8
8
8
8
8
16
2
16
8
0
18
0
0
0
0
8
5
8
8
8
12
8
16
16
17
0
0
0
8
4
4
52
0
0
8
8
16
16
0
0
4
8
8
4
4
4
8
16
0
24
0
28
16
0
0
0
0
16
8
0
16
16
8
8
8
0
0
0
0
0
0
8
0
16
16
16
16
0
2
2
8
8
4
0
8
0
0
0
2
2
6
6
6
1
8
8
8
8
0
0
8
8
8
0
1
1
1
0
0
16
16
0
0
1
8
8
8
8
8
0
0
0
8
8
0
8
0
10
2
16
0
32
0
0
16
16
0
0
16
8
8
8
0
8
0
8
8
4
4
33
1
4
4
8
8
8
16
8
8
8
8
8
16
0
0
0
0
0
16
1
16
24
16
16
16
0
0
16
8
0
16
16
16
0
0
40
0
0
8
8
0
0
2
0
16
16
16
32
0
4
4
4
16
0
4
56
56
56
16
16
16
16
16
16
32
4
24
8
4
4
0
0
16
24
0
0
0
0
0
0
53
0
8
8
8
8
16
0
0
24
8
0
8
8
16
16
16
16
16
16
16
0
0
0
0
0
22
0
0
0
0
0
0
24
8
0
0
4
1
16
8
1
1
1
4
4
4
4
0
8
4
4
4
0
16
4
4
0
0
0
0
0
0
4
0
8
0
0
4
0
0
0
0
8
8
8
16
4
16
16
16
2
0
8
10
8
16
8
9
0
10
4
4
2
0
0
1
8
8
8
43
43
43
0
0
1
6
6
6
16
0
56
16
16
8
16
16
16
16
16
16
16
0
0
16
16
16
8
8
8
8
8
0
22
0
0
0
0
4
16
16
16
0
0
0
5
1
1
32
32
8
8
0
16
0
0
2
2
16
16
0
0
1
1
1
0
0
0
0
8
16
0
1
0
0
16
0
0
0
0
0
8
16
8
8
1
1
1
1
0
8
12
8
8
18
18
0
9
8
0
0
0
2
8
16
0
0
16
6
4
4
0
0
8
8
0
0
0
8
16
0
0
8
0
24
24
1
0
0
2
0
0
8
8
0
0
0
1
33
33
12
8
16
0
8
0
20
1
0
4
0
16
16
16
8
0
0
0
0
0
0
16
16
8
16
16
8
8
0
16
0
0
1
1
1
4
4
8
8
0
0
0
8
0
4
32
32
32
8
8
0
0
0
0
1
8
8
16
16
0
0
0
1
1
1
1
1
1
1
1
1
8
8
8
8
0
5
0
0
0
2
8
30
20
8
8
8
8
8
0
0
0
0
16
16
16
0
8
8
18
2
16
16
9
9
8
8
0
8
32
1
32
8
0
16
16
16
16
16
16
16
16
8
0
0
0
0
21
21
2
0
0
0
1
0
0
0
0
0
0
8
8
8
8
0
20
8
0
0
0
0
9
8
0
8
8
0
0
24
24
24
36
0
0
0
0
1
0
12
29
0
0
0
0
0
16
16
16
4
8
8
0
0
16
4
5
0
8
8
0
9
2
8
8
8
8
8
12
0
0
4
8
0
46
0
0
0
16
20
0
0
4
16
0
0
0
1
56
3
16
16
16
8
8
8
8
2
2
2
16
24
24
8
8
8
16
0
2
2
8
32
32
32
0
16
16
8
8
0
0
0
8
16
2
8
16
0
16
8
0
8
4
4
4
0
8
8
8
8
0
1
8
0
0
0
8
0
0
0
8
0
16
0
0
0
4
16
2
0
0
8
8
8
2
4
16
16
16
18
8
2
2
2
2
0
0
10
10
5
8
8
0
20
20
20
4
0
0
0
0
0
0
28
16
0
8
8
0
16
8
16
8
0
0
0
8
1
0
16
16
8
0
0
1
2
2
2
8
8
8
8
16
0
16
16
48
0
0
16
0
0
6
4
4
4
4
4
16
0
8
0
0
4
0
25
8
32
8
2
2
2
8
24
36
32
8
1
0
24
24
3
8
0
2
0
20
36
8
4
16
6
2
60
0
1
1
1
0
4
0
20
16
8
28
28
40
0
0
0
4
0
0
8
8
1
0
0
2
2
0
0
0
0
0
4
0
0
0
1
49
1
1
1
1
1
16
0
0
8
8
8
0
16
16
16
4
0
8
4
4
2
4
0
8
8
8
8
0
32
8
1
1
1
1
22
16
2
2
8
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
9
8
8
8
1
0
16
16
24
0
8
8
8
8
0
0
0
17
17
17
17
8
28
16
16
32
0
9
2
2
32
0
0
8
4
0
4
26
8
4
4
4
16
16
16
16
16
16
24
8
8
8
8
8
8
4
4
8
4
0
0
4
4
4
16
0
0
0
6
0
8
8
8
16
16
8
8
8
0
2
0
4
0
0
8
8
0
40
32
8
16
8
8
8
8
8
8
0
16
16
16
1
1
0
8
0
16
1
0
0
8
8
0
0
0
8
8
8
8
4
4
24
0
0
0
0
16
0
0
0
8
8
5
5
8
8
8
8
24
0
0
0
0
8
8
1
16
0
1
8
8
0
0
1
0
0
24
24
12
1
3
3
3
0
0
0
8
16
8
16
16
16
16
1
8
21
21
21
44
44
44
44
44
44
44
44
44
4
4
4
4
4
1
0
0
2
8
8
2
0
12
8
8
8
8
0
0
0
1
1
0
25
0
0
8
4
4
16
0
4
8
1
1
8
0
0
0
0
0
8
0
2
0
0
4
4
0
8
4
0
8
4
4
4
0
0
8
8
24
24
0
0
2
2
0
8
8
8
8
2
16
16
8
8
0
8
0
4
4
8
0
0
0
4
0
0
0
6
0
0
0
0
0
0
23
6
4
4
20
20
0
0
16
1
0
0
0
16
16
16
16
0
8
1
0
0
0
20
16
16
16
16
8
1
1
4
8
8
16
16
8
24
16
16
33
33
48
16
16
16
0
2
2
2
0
0
0
25
25
8
8
8
8
8
8
8
0
0
9
9
0
8
8
8
17
17
26
26
8
8
8
0
0
4
0
4
0
0
0
0
0
0
16
0
2
2
24
24
24
0
24
24
2
2
2
4
4
4
4
0
0
0
8
16
1
0
0
0
0
0
0
0
0
0
8
16
16
16
16
16
24
12
12
0
0
0
2
29
16
16
8
8
8
0
8
8
0
0
16
8
0
8
0
8
16
0
0
0
8
8
8
8
8
0
8
8
0
4
8
0
0
0
8
8
8
8
8
2
0
0
0
0
0
0
8
8
8
8
8
0
10
0
16
20
20
0
0
16
16
16
8
1
24
9
9
8
8
8
8
8
1
16
8
16
16
56
0
18
0
0
0
16
16
16
16
16
16
0
0
8
8
8
1
0
0
0
0
0
0
4
4
2
1
1
1
1
1
1
0
22
8
8
8
8
0
8
2
2
6
0
16
8
0
16
16
1
2
8
8
8
8
0
0
4
8
0
0
0
4
4
2
1
54
2
0
8
0
4
2
48
48
48
0
0
1
0
8
16
16
16
16
0
4
4
0
8
0
0
0
0
5
0
0
0
5
8
8
0
0
0
16
4
16
24
0
0
0
0
0
0
16
16
1
0
0
9
0
0
8
8
8
4
16
8
0
8
8
32
32
8
4
1
40
0
16
0
0
0
0
0
0
0
8
21
21
32
32
8
8
8
0
8
2
12
16
0
8
0
0
16
16
16
8
8
8
17
17
16
16
16
16
16
16
0
16
16
12
1
1
10
8
8
0
16
16
4
8
0
0
28
0
4
4
8
4
1
0
0
0
0
0
0
0
0
8
16
16
0
16
2
2
2
2
2
2
2
2
2
2
8
8
0
8
0
0
0
0
0
0
8
8
8
8
0
8
16
16
8
8
0
0
8
8
8
8
8
16
8
8
0
9
9
19
0
0
8
8
8
2
2
2
2
2
2
0
0
0
4
8
8
8
1
1
1
0
16
16
16
0
24
24
16
8
0
0
0
5
5
5
8
16
16
16
16
0
18
0
0
0
8
0
0
0
8
7
2
2
8
2
2
0
0
0
0
16
16
8
8
16
16
16
0
1
32
0
0
0
0
2
2
2
0
0
0
0
8
8
8
8
16
16
16
16
4
16
16
16
16
8
0
0
0
0
0
0
0
8
20
16
16
0
16
16
32
0
0
8
8
8
8
8
4
16
0
8
0
0
16
16
16
16
0
0
0
8
12
0
12
16
0
20
0
0
0
8
8
0
16
16
16
0
18
18
0
0
8
0
8
8
8
8
0
16
2
2
0
8
24
0
4
0
1
10
24
0
0
0
4
2
0
0
0
0
0
2
4
0
0
18
18
0
0
2
2
8
0
17
8
1
0
0
0
8
8
56
56
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
8
16
8
16
24
16
16
0
1
8
1
8
8
0
16
0
0
0
0
4
0
0
0
0
12
12
0
0
0
0
8
8
0
16
1
8
8
8
8
8
1
0
1
0
0
0
0
0
0
8
0
16
16
16
16
0
0
32
24
8
0
8
8
8
8
8
32
8
8
0
0
0
0
0
0
0
16
16
0
0
5
4
4
32
32
20
4
8
0
0
0
16
16
16
0
0
0
16
8
0
26
0
0
0
0
8
0
0
0
0
1
27
16
0
0
4
4
0
0
16
1
1
1
8
8
8
0
8
16
0
0
0
0
4
0
0
0
24
8
8
16
16
16
0
8
8
16
8
8
8
4
4
4
4
4
16
16
16
16
0
1
1
1
1
8
8
8
8
8
8
0
8
8
8
8
16
16
16
16
16
16
16
0
0
16
0
8
8
24
24
8
0
0
16
4
8
8
8
8
0
1
1
1
1
1
1
1
0
0
26
0
16
16
0
16
0
0
0
32
8
8
4
8
16
8
16
0
0
0
0
8
24
0
8
8
0
18
18
16
0
0
16
16
16
0
4
4
0
0
16
16
0
8
0
0
0
0
24
24
8
0
8
32
0
8
8
8
8
1
16
16
16
0
8
0
0
0
0
16
16
16
16
0
0
0
8
0
0
0
0
0
4
4
0
16
0
16
16
8
24
1
0
16
8
8
8
8
0
0
0
0
0
0
40
58
40
8
8
8
0
0
17
17
16
16
8
8
4
0
0
8
8
0
1
1
0
0
0
8
8
0
0
1
1
1
1
1
0
4
4
4
16
0
0
0
20
0
8
8
8
0
0
0
0
0
0
16
0
32
8
8
1
8
8
8
8
8
8
8
8
8
1
1
1
9
1
18
34
32
8
8
8
16
16
2
2
8
0
0
0
8
0
0
0
8
24
0
0
0
16
16
16
0
0
0
0
0
8
0
0
28
0
4
4
4
4
16
16
8
8
8
8
8
8
0
8
8
12
8
0
16
16
4
4
4
16
16
16
0
0
8
8
0
16
16
16
16
16
16
1
0
0
0
0
0
0
16
16
16
16
1
0
8
16
16
16
16
16
4
4
0
0
0
16
16
16
0
0
44
44
0
0
0
0
8
8
16
0
2
16
0
16
8
8
8
0
0
5
8
9
8
8
8
8
8
8
4
4
4
0
0
0
32
32
32
0
16
16
0
8
8
17
17
0
0
0
8
1
8
16
16
8
0
0
1
0
0
0
4
8
0
8
8
0
8
0
0
0
0
0
0
0
8
8
8
16
16
16
2
2
2
2
2
2
2
0
0
8
0
48
16
16
0
0
8
32
32
1
1
1
17
12
12
12
8
0
8
8
8
8
8
32
0
0
8
4
0
16
16
0
16
16
16
24
8
0
0
0
16
2
16
16
18
16
16
1
8
8
0
0
0
0
8
8
8
8
8
8
8
8
27
16
8
1
1
8
8
8
4
1
0
8
8
0
0
0
8
8
8
8
8
8
0
0
0
0
8
12
20
0
4
0
2
8
8
8
0
0
8
8
8
4
2
8
0
0
0
8
8
16
16
16
16
16
0
0
0
8
16
16
16
2
2
2
2
2
2
2
2
2
2
2
0
33
33
0
0
0
1
1
0
8
8
0
4
32
32
32
32
8
8
1
1
16
4
4
4
16
1
0
0
0
0
0
0
13
16
16
16
0
8
8
16
0
16
4
0
0
0
49
49
0
0
0
0
0
24
24
24
4
0
0
16
16
0
0
0
0
0
0
16
20
16
16
16
0
2
18
21
21
21
0
0
12
12
9
0
0
8
0
2
2
2
0
0
0
4
0
0
0
0
0
8
16
16
16
16
16
0
8
8
3
8
24
16
16
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
4
0
0
0
0
0
8
8
0
0
0
0
16
16
1
16
16
16
8
8
8
0
8
0
0
8
0
16
0
0
1
0
0
2
16
2
4
4
0
0
0
1
8
8
8
8
8
8
0
9
8
16
16
24
24
0
24
0
36
0
8
0
0
8
8
0
0
4
25
25
12
12
4
4
0
0
0
0
0
0
0
0
8
1
1
1
0
0
0
24
0
0
8
8
4
16
0
0
0
4
1
2
2
24
16
4
8
8
4
8
2
2
2
2
2
0
0
8
8
8
8
16
16
16
16
0
0
8
4
4
0
0
16
2
20
4
4
12
8
4
0
0
0
16
16
32
8
0
0
0
1
1
0
0
0
0
4
2
8
1
40
32
32
0
11
20
20
8
0
0
8
8
16
16
8
8
1
8
0
0
16
0
0
20
20
20
24
8
17
2
2
0
0
0
0
0
32
16
16
16
4
4
0
0
16
0
1
8
8
8
16
0
16
16
0
0
16
16
16
16
0
0
8
8
8
8
0
0
16
0
0
0
0
16
16
18
18
18
8
16
17
8
0
8
8
17
12
12
12
4
32
32
32
8
8
26
26
8
8
28
28
28
10
0
16
0
0
0
4
4
4
0
0
0
16
16
1
8
0
1
2
2
2
8
0
0
4
0
8
12
24
8
8
8
16
8
8
8
8
12
12
4
0
0
0
8
16
0
0
8
8
8
16
16
0
0
0
8
8
0
8
8
8
16
0
4
8
8
9
16
40
1
1
4
0
16
1
1
1
1
1
1
32
32
16
5
0
20
4
0
0
8
17
0
57
1
1
1
16
16
16
4
16
16
0
0
0
4
4
0
1
16
16
0
4
4
48
20
8
4
8
2
2
2
4
4
0
9
8
8
2
8
16
24
16
56
32
32
40
0
0
16
2
16
16
8
8
4
4
0
1
8
8
0
8
8
18
0
0
0
0
16
0
0
8
8
8
57
2
2
4
4
0
0
8
8
8
1
8
0
8
8
8
8
16
0
0
0
0
0
8
8
16
16
0
0
8
29
13
8
4
16
8
8
20
20
0
0
8
0
0
0
2
2
0
0
0
0
4
0
0
0
0
0
4
4
0
0
4
16
0
0
0
0
2
2
0
0
0
0
8
8
8
0
8
8
8
0
8
0
4
16
16
16
0
1
8
0
24
16
24
8
8
8
8
8
8
9
9
9
16
0
16
16
16
16
1
0
0
0
32
32
32
32
0
0
0
0
0
8
48
16
0
0
2
2
27
0
20
20
4
4
0
2
2
18
0
0
0
0
0
0
2
1
1
0
16
1
0
0
0
16
8
8
8
18
8
0
1
8
8
2
2
2
32
0
8
0
0
0
8
0
0
0
0
0
0
16
16
16
16
16
0
16
16
8
0
22
0
0
0
16
16
16
16
0
4
16
0
8
16
16
18
18
0
0
0
0
0
8
0
0
0
0
16
16
24
0
0
4
4
0
0
32
0
0
0
0
24
24
0
0
8
8
8
8
0
0
8
2
0
0
2
0
0
16
16
16
16
0
8
8
8
0
0
0
0
16
0
0
0
0
4
13
5
4
5
0
24
8
8
8
8
8
28
28
28
8
24
8
8
16
16
0
8
8
8
0
2
8
12
8
12
8
8
8
8
8
16
0
0
0
2
8
4
4
8
43
43
8
48
48
0
0
8
8
0
8
0
0
0
0
0
0
16
0
12
8
16
16
16
16
16
2
2
12
16
16
8
4
4
4
4
1
32
16
0
2
2
24
8
8
8
8
0
0
0
0
16
1
8
16
16
16
16
16
8
8
0
8
2
16
16
16
16
8
8
4
4
4
8
0
10
0
1
4
4
4
20
1
1
0
2
16
16
16
16
16
8
8
8
0
1
0
0
8
16
0
0
0
5
5
33
33
0
0
0
32
8
8
2
2
16
16
2
0
8
32
32
32
32
32
32
32
32
16
1
16
23
23
8
8
8
8
1
8
0
9
9
4
4
24
32
8
4
4
4
0
0
32
2
2
2
2
0
0
8
16
16
8
0
0
16
4
4
16
16
16
1
8
8
8
8
8
0
2
2
1
8
8
16
16
8
8
8
16
2
16
16
16
16
16
16
0
16
0
0
10
10
10
0
24
24
16
16
16
16
0
12
12
24
24
0
0
16
16
16
0
2
0
24
8
16
16
16
8
8
0
8
0
16
16
16
8
18
0
0
0
0
0
16
49
0
32
8
8
32
32
32
32
32
0
24
4
8
2
16
17
8
0
21
16
0
0
20
16
16
8
1
60
4
0
1
8
0
8
16
16
0
0
16
16
16
0
8
0
0
8
8
16
16
8
0
8
8
1
16
8
8
8
8
0
0
0
0
8
8
8
0
8
8
0
0
0
0
8
16
16
0
0
0
18
18
18
18
4
4
4
4
0
0
0
7
24
0
2
2
2
8
8
4
4
4
4
10
24
8
8
8
16
16
16
8
0
0
0
0
0
0
0
0
0
4
4
4
25
2
1
16
16
16
8
8
0
16
16
16
16
1
2
2
0
16
16
16
16
16
0
2
10
0
51
1
1
1
16
16
16
16
0
0
0
8
1
0
0
4
4
4
8
2
16
1
16
0
0
0
0
0
0
0
0
0
16
16
16
16
16
8
0
20
0
1
5
48
1
1
4
2
8
8
8
4
4
0
4
4
0
0
0
8
8
1
1
1
0
4
4
4
4
32
32
2
4
4
0
0
8
8
0
4
0
0
8
8
8
8
8
8
1
1
1
1
1
1
8
8
8
8
1
1
1
16
16
16
5
16
8
8
0
0
0
0
8
0
0
1
0
4
0
16
1
1
0
0
8
0
0
0
0
0
1
0
8
8
0
0
8
8
1
2
2
2
2
12
16
8
16
0
28
4
0
4
8
8
0
8
8
8
48
8
4
4
4
0
8
8
0
0
16
16
8
0
0
0
0
0
0
25
16
9
8
0
0
0
0
0
2
2
8
8
8
16
16
0
1
16
16
4
33
16
8
0
0
0
16
16
16
0
0
1
0
0
1
1
8
8
0
0
8
8
41
0
8
8
8
24
0
4
0
0
0
0
4
8
16
8
0
0
8
8
8
0
0
4
24
8
0
25
0
16
2
16
0
0
9
0
8
8
1
1
1
20
5
8
0
16
16
16
8
8
2
2
2
24
8
9
9
8
8
32
0
2
2
2
2
0
0
8
16
1
1
0
0
0
8
8
8
8
8
0
8
0
0
4
4
4
4
1
4
0
0
8
8
8
0
0
0
16
16
0
0
0
0
0
32
32
32
0
0
0
16
0
57
8
8
8
0
4
5
25
16
16
16
2
2
0
0
0
0
0
0
8
0
0
16
16
8
0
0
0
0
2
0
8
0
8
8
0
4
4
0
16
9
34
34
8
8
8
8
4
0
4
4
32
8
8
0
24
24
0
0
11
11
11
11
11
11
11
11
16
2
2
2
2
1
1
1
0
0
0
0
0
0
8
16
8
8
8
8
8
8
0
2
0
8
16
16
8
8
32
32
32
32
16
16
16
16
8
17
0
8
8
0
24
8
8
0
0
0
0
0
0
8
8
8
16
16
0
16
16
4
4
4
16
16
12
4
4
0
16
4
4
4
4
8
0
0
6
4
4
4
32
16
16
12
12
12
16
8
2
20
4
1
1
0
0
0
8
8
32
8
8
0
26
26
2
2
2
2
2
16
16
16
16
16
14
0
0
0
8
0
0
0
8
0
20
20
20
8
8
0
0
0
0
16
16
0
0
0
0
0
8
8
16
16
16
8
0
16
0
0
2
0
8
4
0
0
0
0
8
4
16
0
16
16
16
16
16
4
16
0
0
1
9
9
4
0
16
16
16
16
16
16
16
16
16
16
16
16
16
9
0
0
16
16
16
16
16
16
16
8
13
8
8
8
8
8
8
26
24
0
0
0
16
16
0
24
0
8
8
8
8
0
0
16
16
8
20
0
2
4
2
0
16
16
0
0
0
24
16
0
16
16
0
8
49
49
49
49
8
2
0
0
8
8
8
16
16
1
0
24
24
0
0
0
0
2
16
16
0
0
0
48
0
8
8
1
8
8
0
16
0
4
4
4
4
8
8
16
16
16
16
0
16
1
1
16
16
16
9
16
16
0
16
2
2
12
12
8
16
16
0
0
8
0
24
40
4
4
4
4
0
0
0
0
1
1
0
1
1
17
10
8
8
32
32
32
32
8
4
6
6
8
8
4
8
8
1
0
16
16
4
0
8
0
0
8
16
8
8
0
4
4
16
16
22
8
8
16
8
8
8
8
8
16
0
17
8
1
2
8
16
16
0
0
0
10
16
0
0
0
17
1
1
8
16
16
12
12
0
24
24
24
1
0
32
32
32
32
0
2
4
4
8
18
16
16
8
8
16
16
16
1
1
2
16
32
32
0
16
16
4
4
16
0
1
1
8
8
0
0
0
8
8
0
0
0
0
0
24
0
0
0
0
16
8
0
28
8
8
8
0
0
16
0
16
8
8
0
0
8
12
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
8
8
0
8
8
8
0
8
0
8
8
8
8
8
0
0
0
0
8
8
8
2
1
1
0
0
4
4
1
0
0
8
8
0
0
0
1
1
16
16
0
2
18
0
0
2
8
8
8
34
34
0
2
0
0
0
16
1
0
12
0
8
21
1
1
0
0
20
0
0
16
0
0
16
0
8
0
8
8
8
8
0
0
0
0
8
4
8
4
0
0
6
6
1
4
8
16
1
16
16
0
0
0
0
0
0
8
0
8
2
0
16
8
0
0
8
8
8
8
0
0
0
0
16
16
16
8
8
8
8
8
8
17
16
1
1
0
0
8
8
0
0
0
0
9
9
1
0
0
0
0
0
0
0
0
0
0
0
32
20
0
0
16
4
4
4
8
18
0
0
0
16
16
32
32
32
32
20
20
20
20
18
0
12
28
20
0
1
16
16
8
28
28
28
3
3
0
0
1
1
1
0
60
0
8
8
0
0
16
0
0
0
0
8
0
8
0
0
0
0
0
8
8
8
0
8
16
0
8
0
0
0
8
8
0
0
1
1
1
8
22
16
16
0
0
32
8
0
0
16
16
16
0
0
0
0
8
8
8
16
0
1
1
32
0
0
0
0
8
1
4
4
0
0
16
0
0
0
0
0
0
2
2
2
1
1
1
1
0
0
0
8
26
8
8
8
8
8
0
0
8
16
16
0
0
0
4
4
4
4
4
4
4
4
0
8
16
16
1
9
0
0
0
0
0
0
0
0
2
8
8
8
8
8
0
0
8
8
8
8
0
25
8
0
16
16
8
4
4
0
8
24
16
16
8
8
0
1
1
0
0
0
0
3
0
0
0
0
0
1
0
0
0
5
16
16
16
16
0
4
4
2
1
0
2
16
16
16
0
0
4
4
16
16
16
16
0
0
0
0
0
0
0
0
16
26
8
8
8
8
8
8
30
16
0
8
8
8
4
16
16
16
16
16
8
4
8
12
12
0
0
20
8
0
8
0
0
0
0
0
0
0
0
56
0
0
16
20
24
0
0
0
8
8
8
8
8
8
8
4
8
8
8
0
0
8
8
16
0
0
0
17
17
17
16
16
2
2
2
2
2
0
0
0
4
16
0
8
2
2
16
8
0
4
1
0
0
8
24
0
0
0
0
0
0
8
8
8
8
8
8
32
0
8
8
8
8
0
0
0
0
10
8
8
0
4
0
16
16
16
16
32
1
1
1
1
16
16
0
8
8
8
8
0
0
8
8
1
1
1
1
0
0
8
8
8
0
1
32
0
0
0
8
8
16
16
0
2
0
16
0
0
0
0
1
16
16
7
16
0
0
0
0
16
16
0
0
0
0
32
8
16
0
0
0
16
16
16
16
0
0
0
1
9
1
25
1
1
8
8
8
4
32
16
8
8
8
8
0
4
4
23
4
4
4
4
4
8
8
8
8
1
1
1
16
8
2
16
8
8
8
8
8
0
0
4
40
0
1
0
1
8
32
6
32
8
8
0
16
16
32
0
20
20
4
4
8
0
1
17
0
0
0
0
18
2
0
4
0
16
36
36
19
19
1
8
8
8
27
8
0
22
0
0
1
0
23
23
0
2
2
2
2
16
18
16
16
0
0
0
0
4
5
4
4
8
8
16
16
8
8
8
8
16
8
0
0
16
24
0
8
8
8
0
0
8
6
6
1
4
4
4
16
16
16
16
16
16
16
0
24
24
24
9
9
8
0
0
0
0
0
0
8
8
16
16
16
0
0
10
8
1
0
2
2
2
0
0
0
0
0
0
8
8
8
8
8
1
0
0
0
0
0
1
1
32
40
0
0
8
0
0
0
0
8
1
8
8
6
8
8
8
8
8
8
8
4
4
0
0
0
0
8
8
8
16
8
8
16
16
4
4
4
20
16
16
24
24
4
4
0
0
0
0
0
8
8
8
0
0
0
0
0
8
0
0
8
0
0
3
3
22
22
24
24
0
4
0
0
16
16
8
0
8
16
16
24
24
24
16
1
1
6
0
0
0
0
8
8
8
8
8
16
16
0
0
8
8
0
0
2
2
0
0
8
8
8
24
24
4
4
16
16
0
0
0
0
0
0
0
16
0
0
4
1
0
0
0
16
16
0
8
8
8
8
24
24
0
0
8
8
12
1
8
8
2
0
0
40
40
40
8
8
8
8
48
48
0
8
8
16
16
32
0
0
0
0
4
4
4
4
0
0
0
8
8
22
8
24
24
24
24
0
0
0
4
0
8
2
16
20
0
24
24
24
24
24
8
8
8
0
8
8
16
8
12
4
8
8
8
16
16
8
0
17
28
8
8
1
8
8
16
0
0
0
16
16
4
8
8
0
0
0
0
0
8
16
16
16
16
16
0
2
0
12
0
0
8
8
16
24
16
16
16
16
16
16
12
24
0
0
0
0
0
0
60
0
16
8
1
1
0
0
2
2
0
0
8
0
4
0
0
0
0
0
0
4
4
1
1
4
2
2
2
8
8
8
8
8
8
0
16
16
16
16
4
8
8
8
4
0
32
32
0
8
8
0
4
4
4
4
0
8
0
0
8
32
32
0
4
4
4
0
16
16
16
16
6
6
6
8
8
8
8
8
8
4
0
0
0
0
2
2
4
4
8
8
8
8
8
8
0
4
4
0
8
8
0
17
17
24
1
8
8
8
8
0
4
4
4
0
16
12
1
4
0
1
2
2
2
2
2
2
2
2
0
1
0
16
0
0
11
11
0
0
32
32
4
16
0
12
0
2
8
8
8
0
32
4
8
0
0
8
8
8
20
8
0
0
16
16
8
0
0
0
0
0
8
0
0
16
16
16
18
18
8
0
2
0
2
4
8
16
8
0
0
16
16
1
0
0
1
8
16
16
16
16
0
0
0
0
0
0
0
0
8
4
4
4
4
4
0
0
4
4
32
16
16
16
16
4
0
0
0
1
1
8
8
8
8
0
16
8
16
16
16
16
16
2
0
2
2
16
40
16
16
16
0
8
8
0
0
0
16
16
16
16
16
26
24
0
0
0
20
8
8
1
8
2
8
8
0
0
32
32
32
4
8
12
0
0
4
4
4
4
16
16
16
16
8
0
0
0
0
2
0
0
8
1
0
24
24
4
4
0
0
16
20
20
16
16
16
0
1
0
0
8
8
8
2
2
2
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
16
0
0
8
0
0
0
0
0
10
8
0
0
0
0
4
4
8
0
8
52
20
32
32
1
1
8
16
30
2
0
0
0
1
16
0
0
0
16
0
0
1
0
8
8
20
0
2
2
0
8
0
16
16
8
8
1
0
0
0
0
0
8
0
16
1
4
8
0
1
1
1
16
0
0
32
8
8
1
16
0
16
4
4
8
0
8
0
48
48
16
16
16
16
4
16
16
2
0
16
16
16
16
16
16
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
11
11
43
20
0
8
0
0
0
0
16
16
16
16
8
8
8
8
8
1
1
1
8
24
24
2
2
2
0
0
0
0
8
8
0
0
0
16
1
0
16
8
8
2
2
0
0
0
20
20
0
0
16
16
0
0
0
2
2
40
40
40
8
8
8
8
0
16
2
2
2
0
1
1
1
0
8
8
0
0
2
2
0
0
12
28
0
16
8
0
4
1
1
1
1
1
0
0
0
4
8
16
52
16
0
0
0
8
0
0
8
16
16
0
0
8
8
8
8
0
8
8
8
8
0
8
16
16
0
2
2
0
32
32
32
0
0
2
1
1
0
8
8
8
4
0
32
40
32
32
0
8
8
2
2
8
1
0
0
0
0
0
4
8
32
0
18
18
0
8
8
8
8
16
0
16
16
0
4
0
0
0
16
4
4
0
0
0
0
0
16
16
4
0
16
0
4
0
8
8
8
8
0
16
10
10
10
0
8
8
8
2
2
16
1
16
16
8
22
22
4
8
14
0
0
8
8
8
0
16
16
0
0
0
0
16
8
8
8
0
0
2
2
4
4
16
8
0
8
8
8
24
8
8
16
4
4
0
0
8
0
0
0
4
4
0
0
4
16
16
0
0
0
4
8
0
0
0
16
2
16
0
0
0
0
16
0
0
0
8
16
16
16
16
16
0
0
4
0
8
8
8
0
0
2
2
2
0
0
16
16
8
8
4
4
16
16
8
0
0
0
0
0
4
4
60
0
0
0
0
0
0
0
24
24
2
2
8
8
8
0
0
0
16
16
0
16
16
8
8
0
16
16
0
25
25
25
18
8
8
8
8
8
8
8
16
16
16
4
4
8
8
8
8
20
0
8
4
4
24
24
4
13
0
0
0
4
4
2
0
0
0
0
0
8
0
0
0
0
4
0
16
0
0
2
2
8
8
16
2
4
17
8
0
16
0
0
2
2
2
2
16
0
0
24
5
5
18
18
18
18
4
4
4
16
0
16
4
16
58
16
16
4
34
16
12
8
16
16
0
2
0
0
0
8
1
9
9
0
1
1
0
16
5
8
8
8
0
16
16
8
2
8
2
2
2
2
2
32
4
16
0
2
0
0
8
8
8
8
8
8
8
10
0
8
8
8
8
0
0
40
2
8
8
0
4
4
2
8
8
0
0
0
0
18
18
0
0
8
4
4
8
8
8
16
0
4
2
2
0
0
1
1
1
1
4
4
4
8
8
8
8
8
0
0
4
8
32
32
1
16
16
2
16
0
0
16
8
16
16
16
0
0
16
24
2
26
26
24
24
0
0
0
8
8
16
16
0
0
9
9
2
0
0
0
1
0
3
3
0
16
16
16
16
8
0
16
4
20
0
8
54
0
0
8
0
0
16
0
0
0
0
0
2
2
2
0
4
16
16
16
16
16
8
16
9
1
8
8
8
4
16
0
16
16
8
0
8
1
1
4
0
40
40
16
8
16
8
16
16
16
0
0
4
4
8
8
1
8
0
24
8
0
0
16
16
16
0
1
1
1
1
1
1
9
8
4
18
8
10
4
8
0
8
8
16
16
16
16
16
0
0
4
8
8
0
0
2
0
16
8
8
16
40
8
8
32
32
0
2
0
8
0
8
34
32
16
16
4
4
8
0
0
0
17
0
0
0
0
48
0
0
1
1
1
0
0
0
16
16
16
16
8
8
8
0
0
8
8
0
16
0
0
24
16
0
8
8
8
8
0
0
0
0
7
7
0
8
16
1
1
0
16
16
16
16
16
8
8
16
16
16
0
0
0
0
4
1
1
0
0
0
0
8
0
0
0
0
0
0
8
0
16
16
16
1
0
0
0
16
20
21
0
16
14
14
8
8
16
16
16
16
16
0
16
16
8
8
16
0
8
0
24
24
0
2
8
0
0
8
8
8
8
8
8
0
0
16
0
8
8
8
8
2
0
2
8
8
8
8
8
8
0
0
0
0
16
16
16
16
0
16
8
0
0
16
16
16
8
8
6
12
8
2
2
0
0
0
16
16
0
0
16
8
0
2
2
0
0
2
2
0
8
8
8
0
16
16
16
0
9
9
8
17
0
0
16
0
0
40
40
16
1
1
1
8
0
16
16
16
0
0
20
24
18
18
0
33
0
0
0
16
16
0
0
2
32
32
0
16
16
0
8
8
8
8
4
4
8
9
1
0
0
24
0
2
2
8
0
0
8
26
26
0
12
12
12
0
0
1
8
0
0
0
12
0
0
4
16
8
8
0
0
41
8
8
0
0
0
0
8
8
16
16
16
16
0
20
20
4
12
0
0
28
8
0
9
4
24
8
8
8
0
0
8
0
0
0
0
0
0
16
16
16
16
16
16
16
0
0
16
16
16
16
8
8
0
0
0
0
0
0
0
8
8
8
8
0
8
34
34
34
16
16
0
8
8
8
32
2
4
4
4
4
4
0
0
0
0
0
8
25
8
32
16
0
0
0
8
0
0
0
0
0
8
0
8
4
4
0
0
8
8
8
4
4
4
24
8
8
0
0
0
8
1
1
20
8
0
10
0
0
0
0
0
0
0
8
8
8
0
0
4
0
16
0
0
0
0
2
2
0
0
0
0
8
0
16
16
0
0
8
8
8
0
0
0
0
2
2
4
4
4
17
1
0
1
1
23
0
8
8
1
1
1
1
0
0
0
16
24
24
24
24
24
24
24
8
8
0
0
8
0
8
16
16
16
8
8
8
0
0
8
8
16
16
8
8
6
6
1
1
1
1
1
1
16
16
0
0
0
8
8
8
8
8
16
2
2
2
2
2
2
3
1
1
0
4
4
0
0
8
16
16
16
16
0
0
0
0
0
0
5
5
5
5
5
5
0
16
0
0
0
16
8
0
8
8
8
8
8
8
8
1
1
0
16
16
4
8
0
0
0
0
8
0
20
20
20
20
0
0
0
8
8
8
8
16
16
8
8
8
13
0
4
0
0
8
8
40
16
0
0
16
16
16
16
0
44
44
0
4
16
2
2
2
0
0
8
8
0
32
32
16
0
16
16
8
0
8
0
0
0
0
1
1
0
1
16
16
1
1
1
0
0
16
16
0
4
4
8
16
16
8
16
16
0
0
1
0
16
16
9
1
8
14
4
4
36
8
8
4
4
4
16
16
0
0
0
0
4
8
8
8
0
0
0
0
0
1
0
8
8
8
1
4
8
8
8
0
0
8
8
0
0
0
8
0
0
0
1
32
8
0
8
8
8
8
8
8
0
0
0
0
0
0
0
0
8
8
16
8
8
8
8
8
0
0
8
0
8
0
16
0
16
16
0
0
16
0
0
4
2
0
29
16
8
8
8
16
16
17
8
8
8
16
1
1
0
0
4
4
0
0
4
2
2
2
2
2
8
8
0
28
0
8
8
0
0
0
2
0
0
0
0
0
0
0
16
16
16
0
24
8
9
33
33
1
0
8
16
16
16
0
16
1
16
16
8
1
1
1
1
8
0
40
0
8
0
2
2
2
4
4
4
4
8
8
0
8
8
33
8
8
0
1
1
0
0
0
0
16
16
24
8
8
0
0
16
0
0
0
0
0
0
16
0
8
5
5
32
16
19
16
16
16
2
24
24
8
8
2
2
10
0
2
2
2
2
8
8
5
16
4
12
12
0
8
8
8
16
16
2
2
48
48
0
0
0
0
16
25
16
16
16
0
0
16
34
2
17
18
16
16
0
16
16
16
16
8
16
2
2
2
2
2
0
0
0
4
4
2
2
0
16
12
8
4
0
0
0
0
0
0
0
0
0
0
18
20
20
20
1
0
8
16
1
1
0
0
0
0
0
16
16
28
28
0
8
0
0
0
0
0
0
0
16
2
16
16
2
16
16
16
8
0
8
8
1
2
2
2
0
8
0
0
8
16
16
0
0
0
0
0
0
0
0
0
0
0
0
9
41
0
56
8
4
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
8
24
8
16
16
4
0
0
0
0
0
0
5
4
0
0
8
8
8
4
0
40
8
0
0
0
10
0
2
2
8
8
0
8
8
8
8
0
8
8
2
8
0
0
1
1
1
1
1
4
16
0
24
0
0
48
16
0
0
16
8
8
8
8
24
16
0
0
0
0
2
0
0
0
8
0
0
2
2
2
0
0
0
0
0
16
16
16
24
0
0
21
8
4
8
8
8
8
0
0
0
8
8
8
8
8
0
2
2
8
2
2
24
0
20
20
4
4
4
0
0
4
4
0
16
0
0
0
0
0
1
0
0
0
0
0
1
1
2
8
0
8
8
8
8
4
4
0
0
16
8
16
4
4
16
2
2
0
0
0
16
1
1
0
1
17
17
17
4
0
1
1
2
8
8
16
16
8
8
0
16
0
0
8
8
8
8
8
4
0
2
2
2
16
8
8
8
0
0
0
0
8
2
2
24
0
28
0
8
0
0
8
0
0
0
0
24
16
16
0
4
4
16
16
16
0
2
4
4
16
0
0
0
0
16
24
24
24
24
24
24
8
8
0
0
0
0
0
0
5
1
8
8
0
0
0
0
0
0
1
2
2
0
0
16
1
1
24
0
0
5
4
8
0
0
4
4
4
8
8
16
24
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
1
1
0
0
4
4
16
0
32
16
16
16
0
0
0
0
16
8
8
8
16
0
0
8
0
8
8
8
8
8
4
0
4
0
0
4
4
4
16
0
4
4
16
16
1
24
0
0
0
24
24
8
17
17
17
8
8
0
0
16
1
1
8
8
8
1
1
16
0
0
16
8
16
24
8
8
0
0
2
0
0
8
8
0
8
0
8
8
8
8
8
8
0
0
8
8
2
2
8
8
0
28
28
4
4
0
0
8
8
16
8
2
30
8
8
20
20
20
0
4
0
26
8
1
10
12
0
0
0
0
32
8
0
1
4
20
8
8
8
4
4
4
4
4
0
0
0
4
4
4
4
0
20
20
16
16
8
8
8
1
10
4
4
4
2
0
8
8
2
4
0
48
4
16
0
1
0
0
8
0
0
8
0
1
1
1
1
32
32
16
0
2
6
2
32
24
24
8
8
16
8
24
16
16
4
8
0
8
8
8
8
0
0
0
1
0
0
0
0
0
16
16
0
18
8
0
4
12
0
8
8
8
8
8
16
16
2
8
16
40
17
16
0
2
2
18
2
0
32
32
8
8
8
16
16
8
8
0
8
8
16
16
0
8
2
2
2
2
2
2
16
8
8
0
0
10
16
8
0
0
16
41
0
8
0
8
8
8
0
0
48
0
0
16
0
16
16
16
16
16
0
34
34
34
34
34
34
1
16
8
0
0
0
0
0
8
2
16
0
0
0
18
0
0
0
0
0
1
8
0
16
16
16
16
0
19
19
0
0
0
0
8
8
8
0
0
0
0
0
9
16
16
16
0
8
8
8
0
0
24
16
16
0
0
16
0
2
4
0
0
0
1
1
1
1
8
8
16
16
0
0
0
8
4
25
44
20
20
20
20
2
2
8
0
8
8
8
0
0
0
0
0
4
4
4
4
4
1
1
1
1
24
0
16
16
16
16
16
8
8
8
8
0
0
0
0
16
0
6
6
0
0
0
0
0
5
0
4
4
4
4
4
0
0
0
16
1
1
0
0
0
8
8
0
0
0
8
16
16
16
16
0
0
0
0
0
16
16
16
16
0
8
0
0
0
16
16
0
16
16
4
4
4
0
0
8
8
8
8
20
16
8
8
10
24
16
18
12
8
0
8
8
4
8
0
0
0
2
1
10
10
0
0
0
1
0
1
1
1
0
0
0
0
0
0
0
8
8
4
16
16
0
16
4
4
4
4
0
16
8
16
2
0
24
0
0
0
32
2
8
8
0
0
0
0
4
1
0
0
0
1
1
8
8
0
0
4
4
0
0
0
4
4
4
8
1
2
18
18
2
4
0
8
0
0
1
8
8
8
16
16
16
0
0
0
32
16
16
16
16
8
8
8
8
16
16
16
4
8
8
8
8
8
8
8
4
11
8
8
8
8
4
4
16
16
16
48
48
0
36
1
0
0
0
4
2
17
17
17
16
0
2
0
8
1
1
1
0
25
0
4
4
4
0
0
0
27
0
0
0
0
8
0
0
0
8
8
8
0
0
0
4
12
4
0
0
1
0
8
8
8
8
8
8
8
2
10
0
0
0
1
16
16
34
34
16
0
0
0
0
0
0
0
0
0
0
0
16
16
50
16
0
0
4
8
0
0
4
16
0
0
8
8
0
0
17
17
17
20
20
0
33
16
49
49
16
8
0
2
2
2
8
8
0
0
32
32
8
0
0
8
1
16
18
16
2
0
0
8
0
0
0
0
8
0
0
0
0
26
16
16
10
16
0
16
0
0
0
8
0
0
0
0
8
1
0
0
0
0
0
0
24
4
8
8
2
1
1
0
0
8
8
0
0
0
0
16
16
0
16
8
8
8
8
8
8
8
8
0
8
8
0
0
0
0
0
2
0
0
0
0
8
16
0
0
0
0
57
16
16
8
0
5
5
1
8
1
1
8
8
4
16
24
24
0
0
0
16
16
8
0
0
8
8
8
16
16
8
0
0
16
24
0
8
0
16
16
16
0
10
10
10
8
8
3
8
8
0
0
16
16
16
2
2
8
8
2
2
17
33
33
2
2
0
0
8
32
16
16
32
32
32
8
8
8
16
0
8
8
0
16
0
8
8
1
11
2
3
3
3
8
0
0
0
8
8
8
8
8
4
0
24
4
4
0
16
14
12
8
8
8
0
0
0
0
18
16
0
0
0
0
25
25
0
24
16
0
0
0
9
9
16
16
8
8
16
16
16
16
0
0
24
16
16
1
1
0
0
8
8
16
8
16
16
0
0
8
8
1
1
0
0
16
16
24
16
8
0
16
16
16
0
4
4
16
0
32
32
32
32
32
16
0
0
0
0
0
0
0
40
8
0
0
0
2
0
2
2
0
16
16
16
0
8
0
0
16
16
8
2
2
2
2
0
8
16
0
8
8
0
0
0
16
16
16
16
18
1
0
0
8
1
1
1
1
0
8
0
0
0
0
0
0
0
1
1
0
8
8
8
1
0
8
8
0
16
1
28
0
0
8
16
16
0
20
20
0
0
0
0
0
8
16
8
8
8
8
8
0
0
0
0
8
32
32
32
32
32
0
0
0
0
2
2
28
16
16
0
0
8
8
8
0
16
0
8
8
8
8
8
8
0
0
0
0
0
0
8
0
12
0
0
1
0
0
0
2
16
0
4
4
4
3
16
0
40
8
8
8
8
8
8
0
0
0
44
0
16
16
16
9
8
8
16
26
4
0
0
0
0
1
5
5
5
5
5
24
16
16
16
0
8
8
8
8
4
4
4
0
0
0
10
16
1
1
0
0
0
8
0
0
8
1
1
8
16
0
0
4
0
8
8
50
16
16
0
17
17
16
0
0
16
16
8
0
0
0
0
1
1
1
9
16
17
0
0
16
16
16
2
17
0
8
8
16
8
8
0
0
0
0
24
10
10
0
16
16
0
0
9
16
0
0
1
1
1
1
1
1
8
8
8
8
8
0
0
0
16
8
8
8
0
0
10
2
2
0
0
0
0
16
16
1
48
0
0
0
8
0
0
0
0
8
0
0
8
2
2
6
32
4
4
0
0
0
16
8
8
2
8
21
21
0
0
0
4
4
8
16
24
24
8
0
0
8
8
21
21
16
24
8
8
8
8
8
8
8
8
8
8
0
0
0
0
16
0
16
0
24
24
0
0
4
1
1
1
1
0
0
0
0
0
12
12
12
12
1
1
1
1
8
8
0
0
4
0
0
0
0
0
0
1
1
0
0
16
16
16
16
16
0
8
8
8
16
16
0
8
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
8
1
1
1
8
0
0
0
0
0
0
58
20
8
8
8
0
16
8
1
2
0
16
8
0
0
0
8
8
8
8
8
8
4
4
4
12
0
0
0
0
8
0
0
16
24
1
1
0
0
0
8
8
17
0
0
8
8
8
4
4
0
0
0
0
16
16
32
32
32
0
0
8
8
1
0
16
8
24
0
16
8
8
16
8
8
8
8
8
0
16
16
16
16
16
16
8
8
16
8
8
8
0
0
0
0
8
8
16
0
0
8
8
4
4
0
8
8
4
4
4
4
8
8
8
8
24
2
16
16
8
8
0
2
1
1
1
1
8
8
0
1
1
0
0
0
0
8
8
8
24
24
8
8
8
8
24
0
0
0
18
8
0
0
8
8
8
0
8
8
48
17
16
8
8
0
8
8
8
8
8
0
0
4
4
0
8
8
8
0
10
10
4
0
0
0
0
32
2
1
4
4
4
10
0
8
0
8
8
8
8
0
0
0
8
16
16
16
16
0
17
0
16
16
0
8
8
8
8
8
8
16
0
8
8
8
0
0
8
8
8
8
4
4
8
8
0
8
8
8
0
2
8
8
0
8
8
16
16
16
24
24
8
4
4
8
0
0
0
0
0
0
0
20
20
4
4
4
1
0
16
16
1
16
0
0
0
17
16
16
0
8
18
16
0
0
8
32
26
26
8
8
4
0
16
4
4
8
0
8
4
4
16
16
16
16
2
2
32
8
8
0
0
0
0
8
8
8
8
2
2
8
16
16
2
2
8
1
0
0
1
1
8
48
0
0
8
8
0
4
0
0
16
0
0
8
8
8
8
0
32
0
16
16
0
0
3
8
8
8
8
8
8
0
0
8
8
20
8
8
0
8
8
0
1
1
8
0
0
8
0
0
0
0
0
3
1
1
16
16
16
16
4
16
2
0
4
0
4
4
4
4
8
0
1
1
1
1
19
19
51
19
16
16
16
3
3
3
0
5
8
0
0
0
0
0
16
16
4
4
8
16
1
17
2
0
0
0
8
8
0
8
24
16
8
22
22
16
16
16
16
0
16
18
18
2
16
16
16
36
4
8
0
0
0
8
8
16
16
16
0
0
0
0
0
8
8
8
8
8
8
8
8
0
5
5
16
0
16
8
0
0
0
1
40
40
12
12
4
0
16
1
1
0
16
16
0
0
16
8
0
40
0
8
1
1
1
9
0
0
0
8
8
16
16
16
8
0
8
32
8
8
1
32
0
0
1
0
0
0
0
1
1
4
0
8
8
8
8
0
0
16
1
0
0
1
1
1
1
1
1
1
24
24
24
8
8
16
16
16
16
8
0
1
1
8
8
8
0
0
0
8
0
16
8
8
8
0
8
8
8
9
12
16
16
0
0
18
18
8
0
0
8
8
20
0
16
8
8
0
33
0
0
0
4
16
8
8
8
8
8
8
8
4
4
4
0
0
8
4
4
8
1
1
1
32
32
0
2
2
2
12
8
8
2
2
2
8
8
0
1
8
8
8
0
21
2
1
8
8
8
8
0
0
0
4
1
8
8
4
4
4
8
2
16
16
0
16
0
0
2
8
8
0
16
8
8
8
0
0
0
1
8
24
24
32
32
8
0
0
0
16
0
0
8
16
16
0
0
0
8
0
0
0
0
16
16
8
8
24
0
8
0
8
0
4
20
0
8
4
1
12
1
16
16
16
0
0
4
8
8
8
0
16
16
16
16
16
16
16
16
0
16
0
8
8
8
8
48
48
48
48
8
8
8
8
0
0
32
32
4
0
16
16
0
16
16
24
0
8
8
8
8
8
8
8
8
8
8
8
8
8
24
4
0
0
0
0
4
0
0
0
0
2
2
0
2
2
17
16
16
16
16
0
8
8
0
4
4
0
1
1
1
0
0
5
5
0
8
0
20
8
8
8
8
16
1
1
1
1
0
0
16
2
0
0
4
0
0
24
2
8
18
1
24
8
0
1
2
2
4
1
1
1
2
0
0
2
8
18
2
32
2
0
16
16
16
16
16
16
0
0
0
0
0
41
32
16
0
1
8
17
17
0
0
0
0
24
8
16
16
16
1
0
0
0
0
0
1
1
1
1
0
0
0
4
4
4
12
12
20
24
8
0
35
0
0
8
8
0
8
8
4
2
0
8
8
8
8
5
37
8
0
8
16
16
16
3
3
16
16
4
0
0
24
24
24
8
16
16
20
20
16
16
16
4
4
0
0
0
0
0
24
8
8
32
8
8
8
8
0
8
0
0
8
8
8
8
8
32
0
0
1
8
0
0
32
6
6
6
2
0
0
0
32
32
4
20
0
8
0
8
8
9
0
2
2
2
0
0
0
0
0
0
8
16
16
6
2
6
0
4
8
8
8
8
0
16
4
0
2
2
2
2
0
0
0
0
16
0
36
6
0
8
8
8
0
8
0
16
6
8
16
16
8
48
0
0
0
0
8
0
4
4
0
1
0
16
16
16
0
1
1
20
40
0
0
0
0
16
8
0
0
24
0
0
9
9
8
1
1
8
16
0
0
24
26
8
0
0
0
0
0
0
5
8
8
8
8
8
0
0
0
4
0
0
0
0
0
17
0
0
16
16
0
8
8
2
2
2
2
2
2
8
0
16
16
0
0
0
0
8
8
8
8
8
16
0
0
16
16
16
13
13
13
0
8
8
0
5
0
4
8
4
8
8
8
8
0
16
0
16
16
0
0
0
0
40
0
8
16
16
16
16
16
16
16
16
16
16
0
0
0
0
0
0
0
16
16
16
16
0
16
16
8
19
0
0
2
1
0
8
8
8
36
16
16
16
16
16
0
0
16
16
2
4
0
0
17
20
20
1
1
0
8
8
32
24
8
0
0
16
8
8
0
0
4
4
0
0
0
16
16
0
0
8
8
8
16
16
1
1
8
0
12
12
12
0
4
0
0
4
4
4
4
0
0
0
0
2
3
0
0
0
8
8
8
0
0
16
16
0
40
8
8
4
0
16
16
16
8
16
28
28
1
0
16
16
0
0
0
8
0
8
8
0
33
8
8
16
1
1
1
1
8
16
8
2
0
0
0
0
0
0
0
8
8
8
8
8
1
1
16
16
16
16
16
16
16
16
24
24
2
0
0
0
16
0
0
8
8
8
0
16
16
16
4
0
1
1
16
0
0
0
0
0
0
0
0
0
0
24
24
24
1
1
32
32
0
0
0
24
0
8
8
0
0
0
0
0
0
16
0
0
0
16
16
2
2
2
2
2
8
0
0
8
0
0
0
0
16
16
16
8
8
0
16
0
0
8
0
16
0
0
0
0
2
2
8
8
8
0
18
18
16
16
16
17
1
0
8
16
16
0
0
0
0
0
0
0
8
0
8
8
16
28
56
16
16
0
0
1
1
1
16
24
0
8
18
8
16
22
22
0
8
8
0
0
1
1
0
16
16
16
4
0
0
0
8
8
0
2
10
0
0
0
0
0
0
0
16
24
16
16
16
16
0
0
0
0
24
24
0
16
8
0
10
10
10
10
0
16
16
16
16
4
10
4
0
16
20
20
16
1
1
1
1
0
1
8
0
0
24
24
16
8
4
16
16
16
16
20
20
18
8
0
1
0
0
0
0
0
0
0
20
0
8
8
0
0
0
0
16
50
50
50
8
0
16
15
15
0
0
0
0
0
2
0
0
0
2
8
8
2
2
0
16
16
16
0
16
16
24
1
12
12
12
12
8
2
8
8
8
8
8
8
0
8
8
16
0
0
8
8
8
8
16
1
1
0
0
8
8
16
16
24
16
16
16
16
16
0
4
6
0
4
0
0
0
0
0
0
0
8
1
8
4
0
1
1
1
16
0
8
16
16
0
0
8
8
8
8
8
8
8
8
8
16
16
16
16
1
0
0
0
12
0
1
0
0
0
0
0
3
2
2
2
1
24
0
16
8
8
4
0
0
16
0
0
0
0
16
0
0
4
4
8
8
0
0
22
16
16
32
8
40
40
8
8
8
0
8
8
16
1
1
1
1
1
1
1
1
1
1
0
19
16
16
0
0
0
8
0
8
8
8
8
8
8
4
4
0
8
16
16
12
0
0
0
0
0
0
0
28
1
4
4
4
4
8
8
8
1
1
1
1
1
16
16
0
0
0
16
0
8
8
8
8
8
8
8
0
0
0
32
0
0
0
4
4
4
16
0
0
0
17
17
16
16
8
8
8
8
8
8
8
8
8
9
8
8
0
0
0
1
8
8
8
16
16
16
1
16
16
16
1
8
0
9
0
0
0
0
34
50
0
8
8
0
16
17
24
16
8
0
16
16
16
0
0
0
0
4
4
16
8
8
9
32
0
8
20
28
0
0
0
32
0
0
16
0
0
1
0
0
0
0
0
0
0
0
8
2
2
2
2
2
0
48
23
20
16
16
16
18
18
0
0
16
28
8
8
1
1
1
1
1
16
16
0
8
1
0
0
0
16
4
4
57
57
57
0
0
0
1
8
8
8
8
8
8
8
0
16
8
0
0
0
8
8
8
8
8
8
8
0
0
4
4
0
16
34
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
8
16
16
16
0
0
0
0
0
0
0
0
8
8
0
0
8
0
0
0
0
8
8
8
8
8
0
0
16
8
8
2
2
2
8
1
16
0
0
4
4
0
0
0
8
2
16
16
16
16
16
16
0
0
16
8
24
8
3
1
0
1
1
0
0
0
8
0
0
8
8
8
8
8
16
8
8
0
0
8
8
8
1
1
0
0
0
0
16
8
8
8
8
8
8
8
8
8
0
0
0
0
0
0
0
1
8
8
0
1
16
16
1
32
8
32
1
1
1
1
0
0
8
8
16
16
12
16
0
0
16
6
6
0
4
0
16
10
2
2
24
6
0
0
16
16
0
16
16
16
0
26
4
4
24
8
16
8
8
0
0
0
0
0
0
0
0
0
0
2
0
0
8
0
8
8
0
20
8
0
0
0
8
8
16
16
16
0
0
0
1
8
8
3
2
0
0
0
8
8
8
8
8
8
16
20
1
1
8
8
0
0
16
0
0
0
16
16
16
16
0
0
0
8
8
8
8
8
9
16
0
8
4
8
4
4
8
8
8
8
0
8
16
8
8
0
8
0
0
0
0
24
8
8
18
8
0
0
0
0
0
0
4
4
8
8
8
8
0
16
4
4
16
0
0
0
8
8
8
0
0
2
2
2
16
0
8
8
0
0
0
0
0
0
0
10
0
0
36
5
4
4
18
18
18
0
8
16
16
2
0
0
16
0
0
0
16
0
8
8
8
0
8
16
16
24
48
2
0
0
0
8
8
0
16
16
16
1
0
0
0
0
0
16
16
16
16
16
0
4
4
4
4
4
52
24
0
0
0
0
8
16
8
8
0
8
16
16
8
8
16
0
0
0
0
0
5
5
5
24
10
0
32
0
0
0
8
1
8
8
0
0
0
11
0
1
16
16
4
0
0
0
0
16
16
4
4
4
0
0
8
0
1
1
8
8
0
8
8
0
24
0
16
0
0
0
0
0
0
0
0
16
16
0
12
0
0
10
2
0
8
8
16
16
0
4
4
16
0
16
32
32
8
8
8
8
16
0
0
0
8
0
0
16
16
16
16
16
1
1
8
8
8
0
0
8
0
0
0
0
8
8
0
16
16
0
0
0
0
0
0
0
16
0
0
0
4
4
2
0
8
4
4
16
16
16
8
8
8
8
8
8
8
8
4
8
32
16
0
0
0
0
0
16
16
0
0
16
17
8
8
16
16
16
16
0
24
16
16
16
16
24
4
4
0
32
32
32
1
4
16
16
4
0
2
4
4
0
0
8
8
8
16
0
34
4
0
17
17
8
0
16
2
2
0
16
16
0
0
48
0
16
12
8
1
1
12
0
32
2
0
0
8
4
4
4
8
0
0
9
9
16
48
48
24
16
8
8
0
16
16
16
16
16
0
8
2
2
26
8
1
1
0
0
0
16
8
8
8
8
16
8
8
0
0
0
0
0
0
4
4
4
4
4
4
16
2
0
8
0
16
0
4
4
4
4
4
4
4
4
21
8
8
8
0
0
8
8
8
8
8
16
16
0
16
16
16
0
0
0
0
0
0
0
0
6
6
0
0
0
16
16
32
0
0
8
8
24
24
0
0
0
0
16
8
0
0
0
8
8
16
4
4
16
4
4
4
4
25
0
0
0
16
4
0
4
16
8
8
8
8
0
0
0
8
8
8
8
16
16
16
0
0
0
20
4
2
2
16
16
4
2
16
8
8
8
8
32
32
0
16
1
0
8
0
4
0
0
16
8
8
8
8
8
4
8
0
0
0
0
0
8
8
8
4
4
4
16
16
16
16
0
0
16
16
16
8
8
0
0
0
24
8
0
16
8
0
0
8
8
8
0
0
8
2
2
0
16
16
16
8
8
8
1
8
16
0
8
8
16
0
0
9
8
0
0
0
0
0
16
0
8
0
0
0
0
0
4
0
16
16
16
16
1
1
8
0
0
8
0
4
32
16
24
16
8
8
8
8
8
8
0
8
8
32
32
16
32
16
2
0
0
16
8
0
8
2
1
1
8
0
0
4
4
0
0
0
0
8
33
32
32
8
16
0
4
4
8
8
12
0
18
2
16
9
0
0
16
2
0
0
0
0
3
0
0
0
3
16
48
16
16
16
16
20
16
16
16
16
0
0
1
1
0
8
8
0
8
16
8
8
1
1
13
1
16
8
0
1
8
8
8
32
0
0
0
0
0
0
0
0
0
0
0
0
8
1
1
8
8
12
32
16
8
8
8
0
0
8
20
20
16
0
16
16
16
16
8
0
24
16
16
33
33
8
8
8
8
8
4
8
0
8
4
4
0
0
0
0
0
8
29
0
2
2
8
16
16
51
51
0
8
8
8
8
8
0
4
0
16
9
9
9
9
9
24
8
8
0
0
16
9
8
8
16
18
18
32
32
0
12
12
8
8
4
9
8
0
16
16
8
8
16
16
1
1
16
8
8
8
8
8
8
8
0
0
0
0
32
32
32
32
32
4
16
16
0
0
0
0
14
8
0
0
0
16
0
16
16
8
8
8
8
0
0
8
8
8
0
8
0
0
0
16
4
8
22
1
1
1
0
8
8
0
0
0
0
0
0
16
16
16
16
16
0
2
8
12
0
5
4
4
1
16
24
8
1
10
10
32
8
8
0
0
0
0
8
4
8
0
0
1
16
0
0
0
32
32
32
32
8
8
16
8
8
26
26
18
18
18
16
16
16
16
16
8
8
0
32
32
8
8
4
0
2
2
2
4
16
16
4
0
26
0
0
0
8
8
2
2
8
6
6
6
16
0
0
0
0
8
8
8
8
2
2
2
2
2
0
0
16
16
4
0
8
0
4
2
0
0
25
25
8
8
8
8
2
2
2
2
2
8
8
16
16
0
0
0
16
1
0
2
0
0
8
0
0
2
2
48
48
56
0
0
0
4
1
2
0
0
0
0
0
1
0
0
0
0
0
0
8
0
32
40
32
0
0
25
0
16
0
2
17
17
17
1
4
0
0
0
0
0
0
0
16
16
2
4
0
8
8
8
8
1
16
2
2
2
24
24
24
24
1
8
8
0
0
16
16
8
16
16
16
0
0
0
16
1
16
16
16
8
8
8
8
8
0
8
0
16
2
20
4
1
1
1
1
1
1
0
0
0
4
4
0
16
16
16
16
0
4
0
0
16
16
16
16
16
8
0
0
0
2
8
0
16
16
16
16
8
0
1
20
4
4
8
8
4
4
4
4
4
8
8
8
8
8
8
8
0
16
16
16
0
1
1
1
0
1
1
0
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
4
0
16
16
0
0
24
24
16
2
2
2
40
40
0
8
8
8
0
0
0
0
0
16
16
0
8
8
8
0
8
8
8
16
16
16
16
16
4
0
0
1
0
1
1
1
8
14
0
16
16
16
16
32
16
16
16
16
12
24
24
24
0
0
0
9
8
0
0
1
1
1
0
0
16
2
2
2
2
2
0
0
8
8
2
2
2
2
2
2
2
4
0
8
8
8
2
2
0
8
8
3
1
1
0
0
0
8
8
8
0
2
0
1
0
16
21
16
32
32
4
0
4
16
8
4
2
2
8
16
8
8
8
8
8
8
8
16
0
0
8
8
20
0
4
4
0
0
4
4
4
24
8
8
0
8
8
8
16
16
16
0
0
0
0
0
32
4
4
4
8
8
8
8
0
0
16
16
16
8
8
12
8
17
0
0
32
48
4
0
0
0
1
0
0
0
16
8
8
8
8
0
0
17
0
8
0
4
4
8
48
48
48
48
0
16
16
8
0
2
8
0
0
16
1
0
10
10
2
0
0
9
16
1
0
16
0
0
0
4
0
8
8
8
0
0
4
0
16
4
32
2
2
24
0
0
8
0
2
2
2
0
16
16
0
8
8
1
16
0
0
8
0
16
4
16
16
28
28
0
1
8
1
1
1
8
8
1
16
16
16
0
0
8
8
0
0
8
8
2
2
8
12
11
11
21
8
8
16
16
8
8
0
0
0
0
0
16
16
0
8
0
2
24
16
4
0
0
0
0
0
0
16
16
24
32
32
8
8
8
0
0
1
24
24
8
8
16
4
4
2
2
2
2
2
8
0
0
4
0
16
16
16
0
0
18
0
0
0
0
0
0
8
8
49
49
0
0
16
16
21
32
0
0
8
0
0
8
0
0
0
2
2
20
20
8
0
0
34
34
0
0
16
0
2
8
8
0
16
16
0
16
16
0
0
8
8
3
16
0
0
2
2
0
0
0
16
16
16
0
0
0
2
1
2
16
0
20
20
0
16
0
8
8
16
16
16
16
16
16
1
5
56
0
0
8
8
8
0
8
7
7
7
1
1
4
4
32
32
0
8
8
8
0
1
1
1
1
8
8
8
8
8
0
0
2
0
0
0
0
8
0
0
0
1
16
0
0
17
26
26
0
16
16
16
0
14
14
30
8
8
0
4
4
18
20
4
9
2
2
2
8
8
27
4
16
1
4
26
4
8
8
16
16
0
24
24
24
0
0
0
0
0
0
0
0
8
1
4
8
0
4
1
1
0
0
0
0
24
0
0
2
4
4
4
4
2
0
0
0
0
0
16
16
16
16
16
0
0
2
8
4
10
10
10
2
0
1
8
0
8
0
8
61
8
0
0
0
0
8
1
1
16
1
0
0
4
4
1
8
8
8
8
0
0
0
0
8
0
24
24
0
0
16
16
8
8
8
8
8
8
0
2
2
2
34
34
34
0
16
16
1
0
8
8
8
0
1
1
0
32
16
0
16
0
0
0
0
8
8
0
8
0
8
0
0
0
0
0
4
8
1
1
2
2
2
2
2
16
16
0
8
16
16
16
16
8
8
8
0
16
0
0
0
1
1
1
1
2
2
0
0
0
4
0
8
8
48
4
4
8
1
16
4
0
8
40
0
0
0
0
18
18
0
0
0
16
1
0
16
16
16
16
8
16
1
19
19
19
0
0
0
0
0
24
8
0
0
0
8
0
16
24
0
0
0
0
2
0
0
0
8
0
17
17
17
16
4
0
8
0
4
0
0
0
0
8
8
0
1
0
0
2
2
2
16
16
16
8
8
32
32
32
32
2
2
0
0
0
0
8
8
8
8
0
0
32
16
0
16
0
0
0
8
4
4
20
3
2
4
4
0
8
8
8
1
8
8
0
8
8
16
16
16
16
0
16
0
0
0
0
0
8
53
53
6
0
0
0
31
8
16
16
16
8
4
8
8
16
20
4
16
16
4
0
0
0
0
0
8
4
8
0
0
16
0
0
8
15
16
16
0
16
41
16
16
16
0
0
16
0
16
16
0
16
0
0
9
9
8
0
0
8
12
12
0
0
8
0
41
16
16
16
0
0
4
0
4
12
1
8
8
8
16
8
16
9
40
0
0
0
8
0
0
0
0
0
6
16
16
2
0
0
0
0
0
2
2
2
8
1
1
20
0
0
0
0
0
0
0
8
0
8
8
16
0
9
0
16
16
16
16
8
0
16
24
16
16
0
0
0
16
16
48
48
48
0
0
16
16
16
16
16
4
4
8
8
0
0
0
4
1
16
0
0
8
0
0
0
8
8
0
8
0
0
0
0
16
16
8
0
5
32
32
32
32
0
4
0
4
0
0
1
3
2
2
0
8
48
16
16
0
1
0
0
0
0
0
0
16
16
16
32
0
4
0
0
0
0
16
16
16
16
16
16
16
8
6
6
6
55
55
0
0
16
16
0
0
0
0
0
0
8
24
8
0
0
0
8
0
0
0
1
25
8
8
1
1
0
0
4
4
1
0
0
4
18
18
4
0
10
0
0
8
0
0
0
0
28
8
3
3
3
0
0
12
8
8
8
0
0
8
8
0
0
0
12
0
0
0
3
0
0
0
8
16
0
0
0
0
0
4
0
4
8
8
8
8
8
8
8
16
0
2
2
0
0
0
8
0
8
8
8
0
0
0
16
16
4
4
4
8
16
16
16
16
16
16
16
16
0
0
4
8
8
8
16
0
16
16
16
0
0
0
0
0
24
24
24
0
0
1
16
0
0
0
0
4
4
4
8
16
8
2
1
0
0
0
8
8
0
0
0
0
0
0
8
0
4
24
8
8
0
0
1
0
0
24
24
16
0
0
16
16
8
8
0
16
16
16
20
0
2
2
8
8
8
0
0
0
8
8
8
0
0
0
0
11
3
1
1
1
1
1
1
0
16
16
0
8
16
16
24
26
0
22
16
0
16
4
1
1
0
1
16
16
3
16
24
2
0
0
10
10
10
10
10
0
0
2
16
25
0
0
0
32
0
4
2
2
2
0
16
0
0
1
8
8
8
16
0
8
8
4
56
8
8
8
8
8
8
8
0
0
8
0
4
4
4
8
8
0
4
4
4
0
0
60
60
8
1
8
8
0
0
0
8
8
8
8
8
8
8
24
2
4
4
4
4
4
0
8
8
8
8
2
2
2
16
16
16
28
2
2
0
0
0
16
0
0
0
0
0
0
20
12
0
0
8
0
0
0
13
5
4
5
0
0
0
0
24
4
4
0
0
0
8
0
0
8
8
0
0
18
16
0
0
16
16
0
0
0
0
0
8
16
16
16
4
0
0
8
0
0
2
0
0
8
16
16
17
0
0
8
8
33
16
16
16
1
4
1
16
16
8
0
16
16
0
0
0
0
0
0
0
0
22
22
22
22
0
16
16
16
16
8
8
8
8
8
8
0
0
0
0
0
0
20
24
8
0
0
24
0
16
2
1
4
4
1
2
2
16
16
16
16
8
0
12
0
1
1
16
16
16
16
16
8
0
0
4
16
8
8
12
0
0
8
8
8
8
8
8
0
8
16
16
16
0
0
0
0
0
8
8
16
8
8
16
0
4
4
4
16
0
0
8
16
16
4
16
16
25
0
0
0
0
8
16
16
16
0
0
32
8
26
26
0
0
0
0
0
0
2
2
0
16
8
0
8
8
4
0
0
8
0
1
1
1
0
16
16
24
8
0
0
8
8
0
8
8
0
0
0
16
0
4
8
8
8
8
16
8
8
8
8
8
0
4
0
8
0
0
0
0
8
8
8
0
0
0
2
20
16
16
16
16
24
4
9
9
9
8
8
1
1
16
16
16
2
2
8
0
8
8
8
0
0
0
1
1
8
8
8
16
12
0
8
4
24
4
0
0
16
8
0
8
8
2
4
4
4
24
0
0
0
0
16
16
16
0
0
6
6
8
8
0
16
16
16
0
8
0
0
0
8
8
8
0
0
1
1
0
16
16
0
4
8
8
8
8
0
8
32
32
32
1
1
1
1
18
16
16
16
2
2
40
0
0
0
1
0
24
24
16
0
2
0
8
5
0
0
16
8
16
8
2
8
0
0
16
2
2
0
0
0
0
0
8
4
0
0
0
0
0
4
12
8
0
0
8
8
8
8
8
0
0
0
0
9
0
18
16
24
16
24
16
8
8
0
0
0
0
0
8
8
8
8
8
8
0
16
16
8
8
8
8
8
8
8
8
8
0
0
0
0
8
8
8
8
4
0
16
24
24
0
48
48
0
16
16
6
6
16
0
0
0
0
0
8
8
8
8
8
4
4
4
0
0
0
24
2
0
8
0
0
0
0
0
8
0
0
16
0
0
0
0
2
2
2
6
8
8
8
0
8
8
8
8
0
0
0
16
16
16
0
0
0
8
8
8
8
8
4
4
0
16
16
16
0
0
8
24
24
8
0
4
4
4
4
4
0
0
0
0
8
8
8
24
0
22
4
4
8
8
8
1
1
8
0
0
0
8
0
0
0
0
16
8
18
18
20
9
4
4
0
0
0
0
0
32
2
2
8
8
0
24
0
32
33
33
1
0
16
8
0
0
16
16
0
0
8
16
2
2
2
16
8
8
24
24
16
16
4
4
4
0
16
0
16
0
8
8
8
0
16
16
0
0
0
0
16
16
16
16
16
0
0
1
1
16
1
1
8
0
0
0
0
6
4
8
8
12
12
4
16
4
0
4
1
40
40
16
32
0
0
0
0
0
0
8
5
16
16
0
8
0
0
0
48
8
16
0
0
16
0
0
16
32
0
0
0
0
0
40
0
0
0
0
0
0
0
16
0
0
0
0
0
0
1
1
0
4
13
8
8
0
0
4
4
1
1
8
8
8
1
1
1
1
1
1
1
0
4
0
0
16
16
0
8
8
8
0
0
17
17
17
24
2
12
4
4
4
4
16
8
8
8
24
32
32
32
24
24
24
8
1
16
16
16
16
8
8
0
0
4
4
16
16
16
24
24
16
8
8
8
24
24
8
24
44
36
16
16
3
0
0
0
0
0
0
0
0
16
16
16
0
0
0
0
0
16
8
8
8
8
8
8
0
4
24
24
0
8
8
8
8
24
24
16
16
16
34
16
0
1
0
2
8
12
12
12
12
8
20
20
32
0
16
0
3
4
0
0
0
1
8
8
0
16
16
0
0
10
8
0
8
1
0
0
0
8
1
8
0
0
0
0
0
0
2
2
2
2
8
8
9
9
12
8
8
8
0
16
1
8
8
8
8
8
8
8
8
8
0
8
0
1
1
1
1
18
16
18
2
8
0
0
0
0
0
8
0
0
0
0
32
4
0
24
24
0
4
4
8
56
8
16
16
0
0
0
8
1
1
16
16
0
1
9
4
0
0
5
5
8
16
16
0
0
16
16
34
0
0
16
16
2
2
0
0
8
8
0
0
0
0
0
16
16
16
8
0
0
4
4
1
1
1
1
0
0
0
0
8
8
20
0
0
4
4
8
16
0
16
16
16
16
16
16
16
16
16
2
0
8
8
8
4
25
1
23
23
0
0
0
1
0
8
8
0
16
8
8
8
8
8
8
8
8
3
3
3
3
3
3
24
8
0
0
0
16
0
17
1
8
0
8
8
8
16
16
0
8
8
8
8
8
8
1
0
4
4
0
0
0
8
16
18
24
0
2
17
17
17
0
0
0
0
0
0
0
0
8
0
0
8
8
8
24
24
0
0
0
2
0
8
8
42
42
42
42
42
2
2
34
7
0
4
1
1
16
8
8
8
8
0
0
0
0
30
26
26
8
1
8
16
1
1
1
16
18
1
32
8
0
2
8
0
0
8
0
0
16
16
4
9
9
0
24
16
0
8
24
20
5
5
5
0
0
8
4
4
2
2
2
2
2
2
24
4
4
8
0
0
0
10
10
0
0
0
8
21
21
21
0
0
8
4
4
8
8
0
2
2
16
8
8
16
16
16
16
8
12
12
12
0
0
18
8
8
0
0
8
8
8
0
8
16
16
4
4
0
18
8
8
8
8
8
8
0
0
33
33
33
0
0
8
0
0
0
8
8
16
8
8
0
24
24
0
0
6
0
0
50
8
0
0
0
0
0
0
16
0
8
16
16
4
4
0
16
16
16
16
0
32
16
16
1
2
2
1
1
0
16
2
4
16
4
4
4
32
4
4
4
4
8
2
0
8
8
8
0
0
0
8
0
24
24
0
0
0
0
8
0
0
24
8
16
16
6
6
6
8
8
8
0
8
8
0
0
0
0
0
8
0
0
6
6
0
1
0
8
8
8
8
8
0
0
8
8
8
8
16
2
2
2
2
0
1
16
0
8
16
16
0
0
0
0
0
0
0
0
0
0
8
8
16
0
8
8
8
0
0
0
2
2
2
8
0
0
0
25
0
16
1
8
8
4
0
8
4
1
5
0
2
3
4
4
0
0
0
0
0
0
2
40
0
0
5
5
5
5
5
0
0
0
8
8
0
1
0
0
0
0
0
2
0
10
10
10
8
8
32
32
2
10
8
8
4
4
0
0
8
8
8
8
17
8
8
8
0
0
16
16
0
8
8
8
8
8
0
0
0
8
8
8
0
0
0
0
0
32
8
8
8
8
8
8
8
0
16
16
4
4
8
8
0
8
8
8
16
16
16
0
4
0
2
8
8
8
0
0
0
20
15
4
0
1
1
0
0
4
4
4
1
0
0
0
0
8
8
16
16
16
16
32
32
2
0
4
8
8
0
0
0
0
16
16
16
16
16
16
8
8
2
2
2
0
0
0
0
0
0
0
16
25
25
0
20
16
8
0
0
0
0
0
0
0
16
16
8
1
1
1
0
4
4
4
4
8
8
1
0
0
0
0
0
8
8
8
16
16
0
0
12
5
5
0
0
0
0
0
16
16
8
0
20
24
2
0
0
1
0
0
0
0
0
0
0
0
23
23
23
0
0
0
8
0
0
16
48
0
0
16
16
16
16
16
16
0
8
18
18
0
8
8
8
4
8
12
8
0
0
8
8
8
8
8
0
8
8
8
1
8
16
0
0
24
8
16
8
0
0
32
32
0
4
4
0
48
48
48
48
0
1
0
8
8
8
16
16
4
4
0
0
0
0
0
0
0
16
8
8
16
0
8
16
16
16
4
0
0
0
4
8
8
2
2
2
2
34
2
2
0
0
4
8
8
0
24
0
8
8
8
8
8
0
8
8
8
8
8
8
8
8
1
1
0
0
8
1
1
2
0
0
32
10
1
8
0
0
8
8
8
0
2
8
40
8
0
0
0
8
8
8
4
8
1
1
1
1
8
0
0
0
4
12
12
24
24
0
12
1
1
1
1
1
0
2
2
2
1
1
8
16
0
0
4
8
0
0
0
4
0
0
8
8
16
16
16
8
8
8
0
0
2
2
24
8
19
8
8
8
16
16
16
4
4
4
0
0
0
8
0
8
8
8
1
0
0
0
8
8
0
0
0
0
0
0
0
0
8
8
8
12
4
4
8
18
2
0
8
8
8
0
0
0
4
32
0
0
16
4
1
1
1
8
8
0
24
16
16
8
8
16
8
16
0
0
8
8
8
8
0
0
24
4
4
0
0
12
12
0
16
0
0
8
0
16
8
8
0
0
8
8
4
4
1
20
0
8
4
1
16
32
0
0
8
0
0
8
8
8
8
0
8
8
0
56
1
0
0
0
0
0
16
16
16
16
4
4
4
0
0
0
8
0
0
0
0
0
0
8
8
0
8
8
8
2
0
0
0
8
0
25
25
0
8
18
0
8
8
8
16
4
4
0
32
36
16
8
0
16
16
17
17
8
8
8
8
8
8
4
16
16
16
8
2
2
2
16
24
0
0
0
0
0
16
16
0
0
0
16
16
16
28
0
16
16
24
24
4
8
8
8
0
0
0
0
0
0
0
0
8
0
8
4
15
0
0
0
8
0
18
18
0
25
9
1
2
0
8
8
8
8
0
0
0
24
24
14
1
0
0
0
0
0
0
16
8
8
8
8
0
0
0
8
8
1
17
12
4
4
4
4
4
40
0
0
0
0
0
1
1
1
1
8
4
4
2
0
0
0
8
0
0
0
0
8
16
16
0
0
0
8
8
0
8
8
8
8
0
8
4
4
4
0
0
0
8
8
8
8
8
0
1
1
1
3
2
4
4
16
16
4
0
48
16
0
0
0
0
8
8
18
18
18
18
8
8
0
10
24
24
24
24
24
0
8
16
0
0
8
0
8
8
2
2
2
0
1
8
0
0
2
0
0
2
9
0
8
8
8
16
4
4
16
8
8
8
8
2
0
1
24
8
1
0
0
4
4
16
16
16
16
8
4
8
0
0
0
2
0
0
0
4
0
16
16
6
6
6
0
8
4
4
4
0
0
0
0
32
32
8
0
8
16
0
16
16
0
2
8
0
8
0
16
8
8
8
0
0
0
0
8
32
32
32
0
32
0
0
0
0
0
0
8
4
0
0
0
16
1
8
8
8
8
16
16
2
4
4
12
0
0
1
5
1
0
0
0
0
0
17
1
1
1
0
16
16
16
0
19
0
0
0
0
0
0
0
16
2
2
16
16
16
16
8
16
16
0
0
0
16
0
8
17
2
0
8
4
8
8
8
8
0
8
0
4
4
0
0
0
0
8
8
8
4
0
16
0
8
32
32
32
32
33
33
2
2
0
0
16
1
1
1
24
0
0
8
8
0
2
8
8
0
8
4
8
8
0
16
8
4
4
4
16
0
0
0
0
0
0
26
8
0
8
0
0
2
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
16
1
8
8
0
8
8
0
0
8
0
8
8
8
0
6
2
0
8
0
0
2
8
8
8
8
8
16
0
16
1
8
8
8
0
0
0
0
0
0
0
16
16
0
32
32
32
32
1
1
40
0
0
1
8
2
2
2
0
2
2
2
8
8
8
16
24
0
0
0
0
0
16
16
0
3
33
33
33
8
24
24
8
8
8
8
16
16
16
32
0
0
0
16
1
1
8
8
8
8
8
8
8
20
16
16
16
16
0
0
0
0
0
0
8
0
4
4
4
0
0
0
0
16
8
16
16
16
8
8
18
1
25
1
8
8
8
8
16
0
16
16
2
2
2
8
0
0
0
0
0
8
8
4
8
4
2
2
2
8
8
0
1
1
1
0
0
16
0
4
4
26
26
26
16
8
1
8
1
1
16
0
0
0
0
2
2
8
8
0
4
4
4
4
4
4
4
0
8
0
0
8
8
8
8
8
8
8
8
8
0
1
0
0
0
0
8
0
0
0
1
8
4
4
0
4
4
48
0
1
35
0
0
0
0
8
8
8
0
0
0
16
16
8
8
8
0
8
0
0
24
24
24
24
24
8
16
16
16
0
0
4
8
22
22
16
24
8
0
0
24
8
0
12
12
12
12
0
0
0
0
0
16
0
0
16
16
32
32
32
0
0
8
8
8
8
0
2
16
8
4
0
0
0
9
9
0
0
0
0
0
42
42
4
0
0
0
16
9
0
16
5
5
5
5
5
1
4
8
0
0
16
0
16
16
14
14
0
0
2
2
2
8
0
4
0
0
0
0
2
1
8
8
8
8
4
4
4
0
0
8
8
8
16
8
16
16
16
20
16
8
8
8
1
1
0
0
8
0
0
0
0
24
24
0
0
0
0
0
1
1
8
8
8
0
32
8
25
1
4
5
0
16
8
8
8
5
5
4
4
10
0
7
8
8
16
16
0
0
0
0
8
8
4
4
2
0
0
16
16
16
0
0
0
0
0
16
10
10
8
8
4
4
4
0
2
2
4
0
0
10
10
2
0
0
16
8
0
0
0
0
0
8
8
16
16
1
1
0
0
16
16
2
2
0
0
8
8
0
0
0
0
0
0
0
0
8
0
0
1
0
1
0
8
8
8
8
0
0
32
0
2
18
0
0
4
4
4
0
0
1
0
0
0
0
0
0
0
0
16
8
8
8
4
16
0
8
0
0
16
0
0
1
0
0
0
0
0
0
0
0
0
1
1
8
0
0
0
24
24
0
16
0
12
0
0
0
8
8
8
8
0
0
0
0
0
16
16
16
0
31
0
2
8
8
8
0
0
8
8
16
4
1
1
6
2
4
29
13
8
0
8
8
20
20
0
0
0
0
0
1
16
16
16
16
8
8
16
16
24
16
16
0
0
0
0
0
16
16
16
0
17
8
8
8
0
0
0
4
4
16
0
1
0
1
1
16
16
16
0
0
0
2
2
10
10
8
8
1
1
16
16
16
0
1
1
0
8
20
0
0
0
0
0
0
8
8
0
0
0
16
8
0
0
0
0
13
8
20
0
1
1
0
0
0
4
32
32
0
4
4
4
0
0
26
0
0
0
4
8
8
0
32
8
0
0
0
8
1
1
1
1
1
18
2
0
0
16
8
0
4
0
0
0
2
2
8
8
16
48
8
8
8
0
0
0
20
16
16
12
8
41
41
1
8
12
12
12
8
16
16
16
16
0
0
4
4
0
0
0
0
0
16
0
0
0
0
8
16
16
1
1
32
32
8
16
17
1
0
2
0
16
0
0
1
1
1
1
4
16
16
8
16
16
0
0
2
16
16
20
20
20
8
0
8
8
8
8
16
16
16
4
4
4
8
8
0
0
8
8
8
0
0
0
4
0
0
16
16
8
32
0
0
2
0
0
8
4
4
8
8
8
8
8
4
0
8
8
0
0
0
8
1
24
8
8
16
16
0
0
0
0
0
0
0
1
1
1
1
0
0
4
0
0
0
0
0
0
0
0
8
0
0
0
8
16
16
16
0
8
0
16
0
8
20
20
16
16
0
0
8
8
20
26
16
16
16
16
0
8
0
24
24
24
16
18
16
16
16
16
0
0
0
20
16
16
4
8
8
8
8
0
8
0
1
0
0
12
9
4
8
8
8
0
16
8
8
1
0
0
0
0
0
0
0
40
4
16
0
0
0
0
0
0
9
1
1
1
1
1
22
22
0
16
0
0
16
16
0
0
0
0
0
0
16
4
20
16
16
8
0
0
0
0
0
8
8
8
8
8
8
8
0
0
0
0
0
0
16
8
8
0
0
8
8
8
8
8
8
8
8
8
0
8
0
0
0
0
9
9
9
0
1
1
8
8
0
8
8
0
16
16
16
0
0
0
8
8
8
8
0
0
0
0
8
4
1
1
0
16
4
0
8
8
18
4
4
4
4
4
19
19
16
0
1
1
8
8
8
8
8
4
0
1
8
1
0
0
8
8
8
8
8
8
0
0
0
0
4
4
0
18
0
0
0
0
0
0
0
0
0
0
0
20
20
56
0
0
0
0
0
0
0
4
4
4
8
8
0
0
0
9
1
16
16
8
24
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
9
9
4
4
0
8
8
0
0
8
8
4
4
18
18
16
16
16
8
0
8
16
16
4
4
4
0
16
16
16
0
0
16
16
16
16
1
0
4
4
16
8
8
0
2
8
8
0
0
16
16
8
8
0
0
0
0
0
0
0
16
10
0
4
0
16
16
16
16
48
48
0
12
12
12
12
8
8
0
0
0
0
8
8
8
8
2
2
2
0
0
0
16
4
4
0
0
16
16
8
18
0
0
2
16
32
0
0
32
8
8
16
16
16
16
0
16
16
0
16
0
8
8
16
16
0
0
0
8
8
8
8
0
8
8
16
16
16
16
16
8
0
0
16
8
8
8
0
8
16
8
4
0
0
0
0
0
0
0
20
20
16
4
8
8
17
0
0
8
8
8
8
8
0
8
8
0
1
1
1
6
6
16
16
16
16
16
16
0
16
16
16
16
48
16
16
4
4
0
0
4
9
9
0
0
4
0
16
0
4
4
0
8
0
8
0
0
36
3
0
18
2
2
16
8
4
4
4
0
0
0
0
1
12
4
4
8
8
8
8
8
8
16
1
0
0
32
0
0
0
8
8
1
8
0
8
0
0
0
0
4
0
0
0
16
0
0
12
20
28
16
8
40
40
8
8
8
8
8
8
0
8
0
0
32
1
0
0
8
0
0
16
16
0
0
0
8
0
0
16
0
8
32
16
16
0
8
0
8
8
16
32
32
16
1
1
0
0
0
0
0
8
8
4
33
33
0
17
8
8
8
4
0
0
8
0
8
8
16
16
32
16
0
4
33
16
24
0
16
16
16
0
0
0
16
18
0
0
8
8
16
2
18
2
1
1
1
0
0
0
8
8
14
4
0
8
8
16
8
8
8
8
16
0
8
0
2
0
0
0
8
16
16
16
0
32
8
8
8
8
8
0
8
0
0
16
0
0
12
0
22
22
16
0
8
0
0
0
1
8
0
0
0
0
16
0
0
8
8
0
0
0
8
0
0
8
24
0
8
8
0
16
9
8
0
8
0
0
0
8
8
32
32
0
16
16
16
16
16
16
10
8
4
4
8
16
0
8
8
0
0
0
0
14
8
0
0
1
1
8
1
0
0
24
8
4
4
0
16
18
8
0
8
4
0
8
8
8
1
16
0
0
0
8
1
1
4
2
2
0
8
5
8
8
0
0
0
0
0
16
16
16
16
1
4
16
0
8
16
0
0
0
1
0
0
24
8
16
0
0
0
8
0
8
24
0
0
8
8
0
12
8
58
0
0
0
0
0
0
0
0
0
0
0
0
16
16
8
4
28
28
1
1
0
16
16
8
8
4
0
16
16
18
0
0
0
0
0
0
0
0
0
24
0
0
0
0
8
8
0
16
16
16
8
0
0
4
4
4
8
8
0
48
16
0
0
0
0
0
0
8
8
8
0
0
59
0
0
8
0
8
8
0
8
8
0
0
0
1
8
24
0
16
16
16
0
0
8
0
0
0
8
20
16
0
8
0
1
1
0
1
1
0
0
0
0
0
0
0
0
20
20
20
20
16
8
4
59
1
8
8
8
8
0
8
0
0
32
32
2
8
8
8
8
8
0
0
0
0
16
16
9
8
8
8
8
0
32
12
0
0
8
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
8
0
0
0
0
0
6
4
4
4
0
0
0
8
0
0
0
16
8
24
24
0
1
0
0
8
0
0
8
0
0
0
7
8
8
8
16
16
16
16
56
0
0
0
0
1
1
0
16
0
0
0
0
0
0
0
0
2
0
8
8
8
4
12
12
12
0
0
0
16
0
16
16
16
0
0
0
0
0
0
0
0
24
16
16
8
16
4
8
8
8
0
8
0
4
40
2
18
16
24
4
10
0
1
0
0
0
0
0
8
8
8
8
0
0
0
0
4
0
8
40
0
0
16
16
8
8
16
2
8
0
0
0
0
24
16
8
8
8
8
8
8
8
17
2
2
2
2
16
16
16
16
20
0
0
8
0
8
8
0
0
0
0
0
4
0
0
4
0
0
0
8
8
0
0
0
16
1
1
8
8
8
0
0
0
0
0
0
8
8
0
4
8
0
0
16
16
16
16
0
0
0
18
2
8
8
24
4
4
4
0
18
8
8
8
8
0
4
4
4
0
0
0
0
0
0
0
8
21
21
8
0
21
8
8
0
1
4
4
2
2
2
2
3
3
3
8
4
4
8
8
8
8
16
16
16
2
3
4
1
1
4
16
8
8
0
5
8
1
16
16
16
1
1
1
1
0
0
16
16
16
16
0
8
8
16
8
8
8
4
0
0
0
0
8
8
0
8
8
8
8
8
4
4
0
0
0
8
12
0
0
1
1
2
16
16
16
8
4
10
10
10
2
4
32
0
32
0
0
0
24
8
8
0
16
16
1
8
16
16
16
0
0
4
16
16
16
16
0
0
4
0
7
7
16
16
0
48
0
8
8
8
8
1
1
28
8
8
8
0
0
0
4
0
0
0
0
16
0
8
8
0
8
8
8
24
8
0
0
0
0
0
16
16
25
0
0
0
16
0
0
0
0
0
0
4
4
0
6
6
4
4
16
0
0
8
4
0
0
0
0
16
8
8
24
16
8
0
0
8
8
8
8
8
4
16
8
0
0
40
40
32
16
8
0
0
0
8
8
4
8
8
8
8
8
8
2
8
8
8
0
16
16
16
8
0
0
0
0
4
2
16
0
0
0
16
0
17
17
1
4
4
4
0
16
0
0
0
0
0
0
0
16
0
4
5
17
0
16
24
16
16
0
0
8
0
16
32
8
0
32
12
0
16
0
0
1
8
0
0
8
0
8
8
2
2
8
0
4
4
4
8
0
0
0
4
0
0
0
12
12
12
12
12
12
12
12
8
0
0
8
0
0
16
16
0
16
16
16
2
2
8
17
32
32
32
32
2
1
0
8
8
8
4
8
0
8
8
8
8
8
8
16
16
16
8
8
8
8
8
8
16
0
0
0
0
0
0
12
16
0
1
1
1
0
8
24
24
24
0
0
0
16
1
1
1
0
8
8
48
0
0
0
0
0
12
0
12
8
16
16
16
0
0
4
16
16
16
16
8
8
0
8
2
1
1
1
1
4
8
8
0
16
0
24
16
16
20
16
16
0
0
8
16
16
16
16
4
4
4
4
4
4
0
16
16
0
8
8
8
0
0
1
1
16
16
8
1
1
0
0
16
16
16
2
8
16
16
16
0
0
0
0
16
16
8
8
0
8
4
4
4
8
8
8
8
8
8
20
16
4
4
2
0
0
0
8
8
8
8
8
16
0
0
2
16
32
40
0
0
1
0
0
0
16
16
8
8
8
8
0
0
0
0
0
0
4
4
0
0
8
8
8
8
8
8
1
4
4
8
8
34
0
0
0
0
0
0
0
8
8
1
1
2
2
0
0
0
0
0
0
0
16
2
2
2
1
0
0
27
0
8
8
0
8
0
0
5
18
16
16
48
4
4
0
0
0
0
4
3
0
0
0
0
8
14
0
4
0
4
4
0
0
8
0
20
5
5
5
8
0
20
16
16
35
8
8
16
16
0
0
0
0
0
0
16
0
0
16
16
8
2
16
2
2
0
16
0
16
0
4
4
4
0
0
20
0
8
0
4
4
4
8
1
8
8
0
0
0
1
16
8
0
0
0
0
4
4
4
4
0
0
20
1
1
1
4
4
24
24
0
1
0
0
6
24
0
0
16
0
3
0
0
16
16
16
16
0
0
0
0
0
56
56
0
0
8
8
16
16
16
16
8
0
16
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
8
0
2
2
2
2
2
16
0
16
16
0
0
0
0
0
0
0
16
16
16
16
4
16
0
32
0
8
32
32
0
0
0
0
0
4
4
4
8
8
8
8
8
8
8
8
8
8
8
8
8
0
8
24
0
8
8
1
1
8
16
4
1
1
0
0
16
1
0
0
8
8
8
8
8
2
8
8
16
16
0
0
4
0
0
0
0
40
0
0
0
0
0
4
4
4
8
8
8
0
0
0
0
0
16
16
16
16
4
8
0
0
0
16
0
0
0
0
1
1
0
2
2
0
0
16
16
8
8
4
0
0
0
0
4
0
8
8
0
0
18
18
18
8
8
19
16
0
16
16
8
0
0
0
0
0
0
0
21
16
0
8
0
8
1
1
1
1
8
8
8
8
8
0
2
8
0
0
4
2
2
2
0
0
4
8
4
0
0
0
0
8
0
0
0
8
1
24
8
8
8
24
24
24
24
4
8
8
16
0
16
16
16
16
32
10
0
0
0
16
16
8
8
8
8
0
0
0
0
0
8
0
2
4
16
16
8
0
0
0
8
3
0
0
51
8
8
8
8
8
8
24
20
0
8
0
4
4
0
0
0
16
16
0
0
4
1
1
1
0
0
0
0
8
8
0
0
0
0
0
16
16
8
0
0
1
24
8
16
16
16
16
0
8
8
8
0
0
0
0
0
40
1
1
0
0
0
0
0
16
17
16
0
0
0
0
0
0
0
8
0
0
16
0
0
0
0
8
16
16
0
0
16
0
0
0
0
4
16
16
2
4
0
4
40
40
40
0
16
0
0
0
16
24
2
2
24
0
16
9
1
1
16
16
17
0
8
8
0
8
32
0
8
0
16
5
5
8
0
0
8
8
8
8
0
0
0
2
4
0
8
8
0
0
0
0
32
8
8
8
16
16
0
0
0
8
0
0
0
8
25
25
25
16
16
16
8
0
0
16
16
16
16
8
8
8
4
0
16
16
8
8
8
8
8
16
16
0
0
8
0
0
0
8
8
8
8
32
32
0
0
0
4
4
4
0
0
0
0
4
4
4
4
4
16
16
2
0
8
8
8
0
8
8
8
0
4
0
4
0
4
7
8
8
0
0
0
16
16
0
8
0
8
8
8
8
8
16
16
16
16
8
8
4
0
2
8
8
8
16
2
1
24
8
1
1
0
0
16
2
0
0
8
4
4
0
0
0
0
16
16
16
8
8
8
0
16
16
24
16
16
8
8
0
0
0
0
1
1
1
0
0
0
0
0
8
8
8
0
2
2
15
0
0
16
8
8
0
8
8
24
5
5
5
0
0
0
0
0
8
0
0
1
1
8
0
16
16
16
16
16
0
0
0
0
1
1
8
8
8
16
16
0
8
0
12
12
12
12
3
8
16
24
16
0
2
16
8
8
8
0
0
0
0
25
0
0
0
8
0
0
0
16
4
4
4
18
18
18
24
0
0
0
0
0
8
0
0
4
8
1
0
0
18
18
26
26
26
8
0
0
32
32
0
0
0
0
8
8
8
16
32
32
32
32
1
8
8
8
16
1
8
8
0
0
4
4
16
0
16
16
0
0
0
48
16
16
0
16
1
16
16
16
16
0
24
24
24
24
8
8
8
8
16
8
8
4
22
20
1
1
1
32
8
1
0
16
16
16
8
8
0
0
8
32
32
0
0
8
8
8
4
8
24
24
24
24
0
16
16
16
8
8
4
0
16
2
0
0
4
4
8
8
0
26
26
16
16
0
0
24
24
8
8
0
0
0
8
0
0
0
0
40
0
0
2
2
0
0
0
0
0
0
16
8
16
16
0
0
0
8
0
12
0
0
0
1
0
0
0
40
40
0
0
40
24
8
0
8
9
0
4
4
4
0
16
16
16
0
0
8
8
0
2
2
0
0
8
24
8
8
8
8
8
8
8
8
4
8
8
8
8
0
22
8
0
0
0
0
0
24
16
16
8
16
0
0
4
0
16
0
20
20
16
16
0
16
0
0
5
8
8
8
8
8
8
1
1
49
16
16
4
1
0
0
0
0
0
8
0
0
0
0
16
16
16
16
16
16
8
33
33
0
0
1
40
0
0
0
0
0
16
0
0
8
8
8
8
16
4
4
8
8
0
0
0
16
0
0
0
8
8
0
0
0
16
16
16
32
8
8
8
8
8
4
0
18
0
0
0
16
16
16
16
0
0
8
8
0
0
8
4
12
8
27
16
0
0
0
0
2
2
2
8
8
8
8
8
17
0
17
0
0
0
16
16
0
0
24
8
0
1
1
1
8
0
0
16
0
0
0
0
8
0
0
0
16
16
8
8
2
2
8
0
0
0
4
0
4
16
16
16
0
8
4
4
4
0
0
0
48
16
16
8
8
0
0
16
16
16
0
0
0
0
0
8
0
0
0
59
1
0
0
0
8
0
0
0
8
0
28
0
1
16
5
0
0
0
0
0
0
0
0
16
16
16
16
16
0
16
24
24
24
24
24
8
8
8
16
16
16
16
16
0
0
8
0
16
2
2
16
0
8
8
8
1
16
16
16
16
1
1
0
0
0
8
48
8
0
8
2
16
0
0
16
16
16
0
0
0
32
8
1
1
4
4
24
8
8
8
8
8
0
0
0
1
1
1
24
24
24
12
12
16
8
8
16
2
0
16
0
1
4
4
0
0
17
1
1
0
0
8
8
0
8
8
16
8
8
8
8
9
0
0
0
0
4
8
8
8
8
8
0
0
0
0
8
8
8
8
8
8
0
0
0
0
0
0
8
16
16
16
0
0
0
0
8
8
8
8
8
0
16
16
16
16
16
16
0
8
16
16
0
0
0
8
24
16
16
16
0
0
8
4
12
8
8
24
8
16
1
16
0
1
1
1
2
2
8
0
0
0
0
8
0
0
0
0
1
17
0
8
0
0
8
8
8
8
0
26
26
1
3
2
2
48
16
0
0
8
8
0
0
8
8
20
20
24
8
8
8
8
8
8
8
1
0
8
16
16
1
8
16
0
8
1
1
0
0
16
0
0
0
0
0
8
4
0
16
8
8
0
2
2
2
2
2
8
1
1
4
4
16
24
8
16
16
2
2
2
2
32
0
4
4
4
0
0
16
16
16
16
16
16
16
16
16
16
4
1
1
1
0
0
0
0
0
8
16
0
0
4
16
2
0
2
40
40
40
0
16
0
0
0
8
0
16
16
0
8
1
1
8
0
16
0
2
16
9
9
10
0
0
0
16
16
0
0
0
2
2
2
8
16
8
8
2
2
16
0
0
0
0
0
0
0
2
2
0
0
2
4
4
0
0
0
0
16
4
4
0
9
0
0
0
22
0
4
0
0
0
8
8
8
8
8
8
8
8
0
0
0
20
20
16
16
16
1
1
17
1
0
0
0
16
16
16
16
2
8
4
12
16
16
16
0
1
0
8
8
4
4
4
20
20
8
8
0
0
0
0
1
1
8
1
16
4
4
4
52
36
16
16
16
16
1
0
16
16
8
4
8
8
8
8
8
8
0
0
0
0
56
56
0
1
1
1
1
1
1
1
24
24
16
16
4
4
4
4
4
4
2
0
0
0
16
16
16
16
16
16
16
16
20
16
16
8
8
8
0
8
0
8
8
8
17
16
16
16
16
16
20
20
1
1
2
2
0
8
0
0
0
0
0
0
16
0
0
2
2
2
2
1
1
4
4
4
0
0
0
0
8
8
0
4
4
8
12
12
8
4
0
0
10
10
10
8
0
0
0
0
0
0
0
0
0
4
10
0
8
8
0
0
0
32
32
32
32
16
0
0
8
16
16
16
4
4
16
16
0
4
4
4
4
4
4
4
16
16
22
8
20
20
20
8
2
0
0
4
24
24
9
8
16
16
1
8
0
0
8
8
1
1
1
0
0
0
12
0
8
8
8
8
8
8
16
8
0
16
0
0
0
0
0
0
0
1
17
1
8
8
0
0
0
40
40
40
16
0
8
0
4
8
8
0
0
8
4
24
16
16
8
8
0
8
8
8
8
0
0
0
4
4
16
4
4
5
0
0
4
16
8
16
0
0
0
0
20
4
3
0
0
0
8
16
16
0
8
0
8
8
8
8
16
16
16
16
8
8
0
8
8
0
0
34
2
8
0
56
0
0
24
0
0
0
0
0
0
2
2
2
0
0
16
0
0
0
0
8
8
8
16
8
8
8
8
8
8
8
8
4
2
0
0
0
0
0
0
1
1
1
8
0
1
16
16
2
2
0
0
16
0
0
0
0
0
8
8
8
8
8
0
0
0
1
1
8
0
0
0
8
0
4
2
0
0
0
0
0
0
0
0
0
0
8
4
1
32
32
32
32
32
32
8
0
0
0
0
0
8
8
8
0
0
1
1
0
4
4
8
16
0
0
24
9
0
1
2
2
0
24
8
8
0
0
0
0
8
0
0
8
8
8
0
16
8
0
0
0
0
0
0
0
4
4
0
0
8
1
1
4
4
0
8
16
16
16
0
0
0
24
0
0
0
18
18
10
2
2
8
8
0
0
0
0
0
16
4
4
0
0
22
22
0
8
4
4
32
32
32
1
1
0
24
12
12
8
8
8
8
0
0
8
8
8
8
0
0
20
4
8
8
1
2
2
0
0
0
4
8
8
8
1
1
1
8
8
0
16
16
16
16
16
16
16
16
16
0
16
1
8
10
0
0
0
0
0
0
0
8
8
21
8
0
0
0
1
1
1
0
0
1
1
8
8
0
0
0
0
0
16
1
5
24
2
0
0
0
8
0
1
0
8
0
0
0
1
0
16
1
8
8
8
24
20
20
8
8
0
16
0
0
8
8
0
0
0
16
0
40
32
32
0
16
16
16
0
1
1
0
16
4
4
0
0
0
5
0
18
18
16
0
0
24
24
24
0
16
16
16
16
18
0
8
0
0
4
0
4
8
0
0
0
16
8
8
16
16
8
8
0
0
8
0
8
16
48
8
8
8
18
12
24
8
8
8
0
4
4
4
4
1
1
1
2
2
0
0
8
8
0
16
16
8
24
24
8
10
0
16
24
8
0
0
0
25
8
8
16
16
12
0
16
16
0
8
8
8
8
8
8
16
16
16
0
0
25
25
0
8
8
8
0
16
16
16
1
1
8
8
8
8
16
0
0
0
8
8
8
8
8
8
8
2
1
16
24
24
2
2
0
24
12
1
0
56
56
16
16
16
16
0
0
0
0
8
8
16
16
10
10
10
10
0
16
0
0
0
0
0
0
2
2
2
16
0
0
0
0
16
16
0
0
8
8
0
0
16
0
0
0
4
8
8
4
12
0
8
0
0
8
16
0
0
0
0
16
8
8
8
0
0
50
0
16
16
16
4
0
16
8
16
16
22
0
8
8
8
8
8
18
18
8
4
0
2
2
0
16
16
8
8
8
8
0
0
0
8
8
0
0
8
8
16
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
8
0
0
0
0
0
8
0
0
8
0
0
0
0
0
8
8
8
8
0
0
0
0
0
0
8
8
18
2
8
8
20
61
26
8
0
8
8
28
0
4
4
1
49
0
0
16
16
24
24
24
0
16
10
16
0
16
16
0
8
0
16
0
0
0
20
20
0
0
4
0
0
0
0
10
10
10
8
10
16
16
16
16
0
0
0
0
0
2
8
8
8
8
8
8
8
1
16
16
32
0
0
9
16
16
16
16
16
1
2
2
0
0
0
8
1
0
16
16
16
16
8
2
0
16
0
0
0
0
0
8
8
0
0
0
18
18
8
1
0
0
5
28
16
4
4
12
8
8
0
16
16
8
8
0
16
0
0
4
8
8
1
8
8
0
8
0
16
16
16
0
0
0
16
16
16
8
8
16
0
0
0
0
0
0
4
4
8
0
0
0
8
8
8
8
8
8
8
8
8
8
22
8
0
8
16
8
8
8
8
8
1
16
0
0
27
27
27
8
8
8
19
0
0
0
0
8
24
8
4
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
24
0
8
0
0
24
24
24
8
1
0
1
18
0
8
32
16
8
16
8
0
0
0
0
16
16
16
1
1
0
0
0
0
0
0
8
1
1
1
8
1
16
16
0
0
52
0
0
0
0
34
0
0
10
2
8
8
8
8
16
4
8
8
8
8
8
8
8
16
16
16
16
16
16
16
16
16
16
0
16
16
16
0
8
0
0
0
0
16
16
2
2
2
2
2
2
0
16
16
16
0
18
8
1
1
1
8
8
10
56
8
4
4
4
8
0
2
0
8
0
24
24
0
0
2
16
16
16
16
0
0
0
1
0
24
24
0
0
0
0
8
24
16
16
0
0
0
0
10
2
0
8
0
0
0
16
0
4
4
4
4
32
32
4
0
0
0
0
16
16
0
24
24
24
2
2
0
16
18
16
0
0
0
8
0
16
16
27
27
16
16
0
0
0
1
1
0
8
8
0
8
24
0
16
16
8
0
0
16
16
4
4
32
0
8
8
8
8
16
16
0
16
2
2
0
0
0
0
1
1
0
1
1
1
0
0
0
1
2
2
0
0
0
0
3
3
0
0
16
0
16
0
0
0
0
0
8
8
0
9
9
9
9
8
8
8
10
10
0
0
0
0
0
16
24
24
0
16
16
18
16
16
16
16
0
0
16
8
0
8
0
0
0
0
0
16
16
0
9
36
36
0
0
0
0
0
0
1
1
8
0
0
0
0
0
0
0
0
0
16
0
8
4
8
0
8
8
8
8
2
24
8
0
4
4
8
8
8
24
0
0
0
21
21
0
0
0
0
0
8
8
17
16
16
16
1
0
0
16
16
16
6
16
1
0
8
8
1
1
4
4
16
16
20
1
0
0
0
8
8
8
0
0
0
0
0
8
24
20
8
0
1
16
16
16
16
16
16
16
16
16
16
8
16
16
0
8
8
0
16
8
8
8
16
8
0
0
8
2
16
16
0
0
0
8
0
0
0
8
0
0
0
0
17
17
1
1
1
4
8
2
2
0
0
8
8
0
12
8
8
0
0
2
2
2
8
8
8
0
0
8
8
0
0
16
1
1
8
0
16
0
0
16
0
8
1
1
1
0
1
2
2
2
16
16
16
8
8
0
0
8
1
1
1
0
0
0
0
0
8
0
16
16
8
0
0
0
0
2
2
8
1
0
16
0
9
0
0
0
8
8
0
0
0
0
0
0
2
0
16
16
16
0
0
0
0
0
16
16
16
16
0
0
8
0
16
0
24
4
4
4
0
16
0
8
4
4
4
8
59
0
2
2
0
0
21
21
21
16
4
8
8
4
20
0
0
0
0
0
0
8
16
0
0
0
8
34
12
20
8
0
4
9
0
0
16
16
2
16
16
0
0
0
0
0
0
0
1
0
0
8
8
16
16
0
17
20
0
0
0
0
0
8
0
0
0
32
32
32
0
8
8
0
0
0
0
8
40
8
8
0
0
0
4
4
4
4
8
0
0
0
8
8
0
0
20
1
16
0
4
1
0
0
0
0
8
0
0
8
0
0
0
0
0
0
8
0
8
1
8
0
0
16
8
8
1
8
8
8
16
0
4
0
8
0
0
0
0
8
0
16
16
0
8
8
8
8
8
8
8
8
8
8
2
2
2
2
0
0
8
0
24
0
0
0
0
8
8
8
16
16
16
24
24
0
34
34
34
10
10
16
0
1
0
28
28
4
4
0
0
0
9
16
16
0
0
0
0
0
8
0
4
8
8
0
0
0
0
0
10
0
7
0
0
0
0
0
16
0
17
1
1
0
8
0
2
2
2
2
2
2
2
12
8
0
0
0
8
8
10
10
8
8
0
4
4
4
4
4
4
4
4
4
0
0
8
8
8
24
24
24
24
16
16
16
4
1
16
0
4
16
16
0
0
4
8
8
8
0
0
0
0
16
16
6
8
8
8
8
8
0
0
0
16
16
0
0
16
0
0
0
0
8
8
8
8
0
0
0
8
4
8
0
8
0
16
16
8
0
0
0
0
4
8
16
24
8
8
24
1
1
1
16
32
16
0
8
0
24
8
0
0
8
8
8
8
0
8
4
0
4
4
4
4
4
4
4
4
4
4
16
16
16
16
24
0
32
16
16
8
0
0
0
8
0
0
2
2
16
4
0
0
0
0
4
0
8
0
8
1
12
18
0
0
2
0
16
16
16
0
0
4
4
4
0
0
0
3
4
8
8
0
8
0
0
4
4
4
8
16
1
16
16
0
9
32
1
0
0
0
0
3
3
16
4
24
16
8
44
0
8
0
0
0
0
8
8
8
8
16
16
16
16
16
32
0
0
8
8
8
8
0
0
8
8
0
16
16
8
8
8
16
9
16
16
0
16
0
0
0
8
16
16
8
16
0
0
16
8
8
8
1
1
1
1
2
10
0
2
2
2
2
8
8
8
8
8
8
8
4
16
8
0
0
8
0
16
16
1
8
0
14
1
8
8
0
0
8
8
8
16
8
2
8
16
8
8
8
0
4
0
0
0
8
8
8
8
8
0
16
0
0
0
0
16
4
4
4
4
4
1
2
2
1
16
1
4
0
0
0
0
0
48
0
0
16
0
32
0
0
8
8
8
8
18
0
0
0
0
8
8
0
0
8
8
8
0
0
0
20
20
20
20
0
16
20
20
52
0
8
16
16
0
16
24
16
8
8
8
8
18
13
0
8
0
0
16
16
16
0
8
8
0
0
2
2
0
0
3
24
16
8
4
20
16
8
40
8
8
8
8
8
5
0
0
1
0
8
18
16
16
0
0
16
0
0
16
24
8
0
0
0
0
8
8
8
0
16
8
16
8
0
32
8
8
8
16
16
0
0
24
0
0
0
16
16
0
0
1
1
4
8
0
0
0
0
0
8
0
0
0
0
0
8
0
8
0
20
0
0
0
40
16
16
8
8
8
0
16
16
16
4
0
18
18
0
0
8
0
21
4
2
2
0
0
0
0
0
2
2
0
0
0
8
1
12
0
0
4
4
4
4
4
4
16
16
16
16
0
0
0
0
0
8
0
4
0
16
2
1
1
20
0
0
4
4
16
16
16
0
8
8
8
8
8
0
32
8
8
0
20
16
16
22
22
0
16
16
8
8
24
8
8
8
8
8
8
28
28
0
16
16
0
0
0
2
0
16
0
32
0
3
3
0
0
8
0
0
8
16
16
16
0
0
16
4
25
2
2
2
8
16
24
0
0
16
16
0
16
0
0
0
8
8
0
0
0
0
0
24
8
8
8
8
16
32
32
1
17
1
0
8
8
0
30
30
16
1
1
8
1
0
8
8
0
8
16
25
8
16
0
0
0
16
0
16
15
7
28
28
0
0
0
0
24
24
16
16
16
0
0
8
8
8
8
8
16
16
8
8
8
0
0
8
16
8
8
0
16
2
2
0
1
4
0
0
8
1
1
1
1
1
1
8
0
0
8
4
8
32
0
0
0
0
12
4
0
0
0
0
0
0
0
0
8
0
32
32
32
32
32
32
32
32
32
0
38
8
4
1
1
1
0
0
0
8
8
8
24
1
1
0
0
0
33
33
16
0
0
0
16
0
4
8
8
4
1
16
16
16
16
16
0
0
0
8
8
48
48
0
6
0
0
0
8
8
8
0
0
12
8
8
9
8
8
24
8
16
16
8
0
16
2
2
12
0
0
8
0
4
4
0
0
0
0
10
0
0
1
0
0
0
8
16
16
16
16
8
8
8
8
8
8
0
0
48
0
0
0
0
0
0
0
8
0
8
4
8
8
8
8
8
8
0
8
8
0
8
16
2
2
8
8
8
8
20
0
0
0
20
17
1
0
0
0
8
8
8
8
8
8
0
8
0
1
8
8
8
0
16
16
22
22
22
16
0
0
1
1
0
17
17
8
0
0
0
0
8
32
32
8
8
32
32
32
8
8
8
0
0
0
8
8
8
0
16
16
16
0
0
16
16
16
0
2
2
8
8
8
8
8
8
0
0
0
0
0
16
16
8
8
17
8
8
0
40
40
0
0
0
0
0
16
1
1
1
0
21
0
0
8
0
0
0
0
0
0
8
0
8
8
8
4
4
24
0
0
9
16
48
16
32
0
8
8
4
0
16
16
16
16
16
16
0
0
8
8
1
1
0
0
0
16
0
0
0
0
52
8
8
8
0
0
0
0
0
16
2
2
1
8
0
8
1
16
0
0
8
8
16
8
16
20
20
8
8
8
0
0
0
0
8
8
8
0
16
13
4
16
16
8
0
0
8
0
1
16
8
0
0
0
0
0
0
0
0
0
0
0
1
1
1
2
8
16
16
16
16
16
0
0
0
0
0
0
0
0
0
0
0
8
8
0
8
8
8
8
8
2
8
32
32
8
8
8
10
16
16
0
0
1
1
8
0
0
0
2
0
8
0
0
0
0
0
0
0
8
8
8
8
16
16
16
16
16
16
16
12
4
0
0
4
4
0
16
0
4
4
4
24
24
0
0
8
0
0
8
32
0
0
0
0
8
0
0
0
0
24
0
0
0
0
0
8
0
24
24
24
24
8
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
8
4
16
25
16
32
16
16
0
8
0
0
8
8
16
16
8
16
0
18
16
0
8
2
16
16
41
41
41
41
0
24
20
20
16
16
16
0
1
8
8
8
0
0
0
0
0
0
8
8
0
1
1
0
8
16
1
8
0
0
0
16
16
2
2
16
16
16
0
0
0
8
0
0
8
16
0
16
0
0
8
16
16
16
4
2
0
32
20
0
0
0
0
0
16
8
16
8
1
1
0
24
24
0
0
0
19
16
16
16
16
0
4
4
24
8
8
0
16
0
0
0
0
0
8
0
0
0
0
0
0
0
0
20
20
0
0
4
8
8
0
0
8
8
0
0
0
0
0
0
0
16
24
16
8
8
2
8
8
16
16
0
61
8
0
8
0
0
16
16
8
8
0
0
0
2
2
2
2
16
16
8
8
1
1
0
0
0
16
0
8
8
0
0
8
16
8
11
16
16
0
8
8
8
8
0
0
4
4
4
16
16
16
8
8
8
16
16
8
0
0
16
0
0
4
4
4
4
0
8
0
0
10
16
1
0
0
8
0
16
16
16
8
0
8
0
0
8
8
20
2
0
24
24
24
0
0
0
0
0
0
0
1
1
1
16
16
0
0
0
0
16
1
16
0
8
0
16
0
0
0
0
0
0
0
18
2
2
0
0
8
0
0
0
0
16
16
16
16
16
16
0
0
55
55
0
0
16
10
10
4
8
0
0
4
4
8
8
0
4
4
0
8
0
0
0
0
8
1
1
1
0
1
1
1
24
16
2
8
2
2
2
2
0
0
0
16
8
8
8
8
0
20
8
0
0
0
0
16
16
4
4
8
8
0
8
40
40
40
40
40
8
8
0
0
8
16
16
4
4
8
32
32
16
16
16
0
0
0
8
20
20
0
2
2
24
24
24
0
0
0
4
4
4
32
12
0
16
16
16
0
0
16
0
0
0
0
0
0
16
8
8
8
16
17
17
8
8
8
8
16
16
0
2
0
16
0
0
0
2
8
8
8
16
2
24
8
8
24
8
8
0
0
0
0
2
0
0
0
0
0
16
16
16
16
12
0
16
4
4
4
0
2
2
0
0
0
0
1
0
0
16
16
16
4
16
16
16
16
16
16
0
0
10
9
0
0
0
16
16
15
8
8
0
16
0
16
17
8
8
8
8
16
8
8
0
2
0
32
32
0
0
4
0
0
16
1
0
0
0
0
0
0
9
16
0
0
8
8
8
0
0
8
8
8
8
8
4
4
4
8
0
0
16
16
0
4
4
0
0
0
0
0
0
4
4
4
4
0
0
0
16
16
16
16
0
16
4
4
4
8
8
0
0
0
0
0
0
0
16
4
4
0
0
3
3
3
0
14
6
16
16
16
8
0
0
4
16
16
1
8
8
2
2
0
0
0
0
0
0
0
16
16
16
16
16
16
16
16
16
0
4
4
0
8
8
8
8
8
2
2
2
4
0
1
16
0
2
2
2
25
8
16
16
0
0
0
0
0
0
2
2
2
16
16
16
2
8
0
0
0
32
32
0
0
16
8
8
8
8
8
8
0
0
0
0
8
8
8
4
12
12
5
1
1
1
1
0
0
8
8
8
8
0
0
0
0
0
0
16
20
16
8
21
21
2
2
2
1
8
0
18
8
0
1
0
8
8
8
16
16
8
0
0
1
1
16
16
16
0
0
16
16
16
16
16
2
2
0
8
8
8
0
8
8
8
8
20
8
8
0
0
16
16
0
1
0
0
16
16
1
1
1
32
0
8
24
24
8
8
24
24
0
2
2
2
2
0
0
0
8
8
0
0
8
0
0
0
0
0
0
16
0
4
4
16
18
18
18
18
18
18
0
16
16
16
8
8
0
0
8
1
8
8
8
3
3
0
8
0
0
0
0
8
16
16
16
8
0
8
0
0
8
24
8
8
16
8
16
16
16
16
1
24
24
8
0
28
28
0
0
0
1
1
13
13
13
13
8
0
1
1
20
20
8
4
24
4
0
8
8
8
8
8
37
37
0
0
0
0
34
0
0
0
4
0
1
0
8
8
8
8
16
9
9
1
16
8
38
38
38
0
8
0
0
32
0
0
16
8
12
12
2
2
8
2
2
2
3
2
2
10
0
0
8
8
0
16
0
0
0
4
4
4
0
0
0
0
0
1
20
20
20
32
32
32
32
32
8
16
8
8
0
4
4
0
0
0
4
0
0
0
0
16
33
0
0
0
0
0
0
4
0
0
2
0
8
9
9
1
8
0
8
8
24
24
8
0
0
8
12
12
12
0
0
1
1
0
0
0
0
16
2
2
0
0
1
2
0
0
0
0
2
2
2
8
0
0
8
4
4
4
8
0
4
16
8
13
13
16
0
0
1
1
4
4
4
16
0
0
0
21
8
8
0
0
1
16
0
0
16
12
12
8
8
0
0
0
8
8
16
24
0
0
0
0
0
0
0
0
8
8
0
20
16
0
0
8
16
16
16
1
0
16
17
0
6
6
0
0
8
8
24
24
0
0
16
8
4
8
8
4
1
1
8
0
24
24
8
8
16
16
4
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
27
8
4
4
4
0
0
0
0
0
0
0
4
0
0
0
4
4
8
8
8
8
1
8
8
4
0
16
8
0
0
0
0
0
8
8
0
0
2
8
0
2
2
0
0
0
8
1
16
0
1
8
8
8
8
8
8
0
0
0
0
8
8
0
8
9
9
4
0
24
8
8
0
0
4
4
4
4
16
0
0
0
8
8
24
19
0
8
8
0
0
0
24
8
0
0
0
0
0
0
9
8
0
0
16
4
4
0
16
2
2
0
7
8
8
0
0
9
9
9
16
16
16
16
16
0
32
32
32
32
0
0
0
8
8
0
0
16
16
16
0
4
4
8
0
16
16
9
9
0
4
2
8
16
16
16
16
4
4
8
8
8
16
0
0
0
8
8
8
8
8
8
0
2
1
8
56
8
0
2
8
8
8
4
0
36
0
0
0
0
0
0
8
8
0
8
8
0
0
16
4
4
4
4
4
0
0
8
8
8
8
8
8
3
0
4
0
8
25
8
0
0
26
26
26
26
25
2
2
16
7
0
0
8
8
8
8
8
8
8
37
8
1
0
0
4
0
16
16
0
0
25
1
8
0
16
16
16
0
8
0
20
20
16
16
4
4
4
57
4
8
8
8
16
6
0
0
16
4
16
0
24
24
24
16
20
0
10
0
4
16
8
8
8
8
0
0
0
16
0
0
12
4
0
0
0
0
16
16
9
0
0
0
0
0
8
8
8
8
8
0
0
8
8
0
1
1
4
4
4
0
0
0
1
16
4
4
0
16
16
8
2
1
1
8
8
8
8
8
0
1
1
1
1
1
0
8
0
0
4
12
2
8
8
0
8
8
4
4
8
8
8
16
32
16
0
8
8
0
0
0
0
0
8
4
0
0
1
1
1
1
23
8
8
0
0
8
0
16
0
0
0
0
0
16
8
8
16
16
0
48
0
24
8
0
2
1
0
0
0
0
0
0
20
8
8
8
8
8
8
16
16
16
16
8
0
8
0
0
0
8
8
16
16
16
16
16
24
0
2
3
2
2
2
0
0
8
0
8
0
8
4
4
18
18
0
8
8
8
8
0
0
8
0
16
16
16
8
2
2
0
0
0
0
8
8
4
0
1
9
8
8
2
0
16
8
8
8
8
0
2
2
16
16
8
4
4
0
0
16
16
16
0
0
0
8
8
48
48
0
8
4
4
8
8
8
0
22
0
0
0
0
0
2
2
8
8
8
8
8
8
8
8
0
0
0
16
0
8
8
8
8
8
0
0
0
0
0
0
8
16
16
0
0
0
0
8
16
16
28
28
8
0
0
0
1
1
0
24
1
1
0
0
8
16
16
36
0
0
0
0
1
8
12
8
2
0
24
24
16
16
34
0
1
1
0
0
8
0
16
9
8
16
16
0
4
4
8
32
17
16
16
8
8
8
16
16
0
8
8
0
0
0
0
8
2
2
8
8
2
0
18
16
0
8
8
16
8
0
0
0
0
0
0
2
2
0
2
2
2
2
2
18
18
16
16
0
0
0
0
16
16
16
1
1
1
1
0
0
6
2
0
0
0
0
0
0
0
0
0
0
8
8
16
8
8
4
0
8
0
8
0
4
16
16
16
8
27
8
8
8
8
0
18
18
0
0
8
8
1
1
1
8
24
8
16
16
0
0
0
0
2
2
24
0
16
16
16
16
16
15
13
8
32
32
32
0
8
0
0
8
8
8
8
8
8
33
16
16
16
16
16
1
4
16
16
4
0
16
2
2
16
0
1
1
16
0
0
16
2
16
16
32
16
8
1
0
22
21
0
0
16
0
8
0
0
0
0
8
16
16
0
9
12
8
7
0
16
8
16
16
8
8
16
8
32
32
32
8
16
4
0
0
24
24
24
0
0
0
0
0
4
4
1
1
8
8
0
0
8
8
32
32
8
8
0
0
16
16
8
2
0
16
16
16
1
1
8
8
0
16
0
0
18
2
0
0
0
8
0
0
0
0
0
0
0
0
1
1
24
24
4
0
0
0
8
8
0
0
0
16
56
56
56
56
56
56
0
0
0
0
0
0
16
16
16
8
8
8
8
8
1
1
24
24
24
24
24
1
8
0
0
16
0
0
56
56
0
8
0
0
8
0
0
20
8
0
8
8
16
16
16
0
1
16
16
16
0
8
4
4
4
4
0
0
0
4
16
1
1
1
16
8
0
0
0
0
0
16
16
0
1
8
8
8
8
0
4
0
0
0
16
16
2
32
32
25
24
24
24
24
24
0
21
4
4
4
4
4
4
0
0
17
8
8
0
1
16
16
1
24
16
16
0
0
0
0
2
0
0
0
8
8
8
1
1
1
1
8
0
8
1
1
4
0
8
8
8
4
1
1
10
16
16
16
16
0
1
1
1
1
0
0
2
0
0
0
2
8
8
8
8
0
8
8
0
0
0
0
32
0
0
0
16
32
48
32
24
8
8
8
0
0
20
4
1
16
0
0
8
8
8
8
8
8
0
0
0
8
8
8
8
0
0
0
8
4
4
0
16
16
16
24
8
1
1
18
18
20
16
16
16
16
16
16
16
0
16
16
16
8
8
0
0
16
8
0
0
16
16
8
1
9
0
0
2
2
2
10
10
10
10
0
8
8
8
8
8
8
8
16
25
8
8
20
9
8
24
24
8
8
16
8
0
4
0
16
16
1
1
8
4
0
18
8
0
0
0
0
0
8
32
0
0
0
8
8
16
0
5
5
0
0
0
16
16
16
16
8
16
8
9
8
8
1
1
0
0
28
28
16
2
2
4
8
8
8
24
20
16
16
16
24
32
32
8
16
16
16
16
0
8
0
1
4
4
4
0
16
0
0
0
0
0
8
16
16
16
0
8
0
0
32
1
16
0
0
0
0
0
0
5
1
0
9
5
0
16
16
0
0
0
0
16
16
8
16
0
16
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
24
16
0
0
0
0
8
8
8
4
0
0
16
16
8
16
8
0
0
0
11
11
16
16
16
0
8
16
16
0
8
8
8
8
8
0
4
0
8
0
0
16
16
8
0
4
0
16
8
32
32
16
0
0
0
0
1
8
8
4
4
4
0
0
0
0
16
0
8
8
8
32
16
0
0
0
8
8
8
48
0
24
0
0
8
0
0
0
18
8
8
8
8
8
8
0
0
16
16
0
16
0
0
0
0
8
0
0
0
8
8
0
0
8
0
0
1
1
1
1
1
1
0
0
21
21
8
0
0
0
0
8
8
0
0
8
0
0
0
16
24
0
0
0
0
0
16
0
0
8
16
16
16
16
0
8
24
8
8
20
2
17
17
17
1
5
20
20
4
0
0
0
0
0
0
0
8
0
4
4
0
0
0
0
0
0
0
0
0
0
16
0
0
8
0
16
16
3
0
0
0
32
0
0
0
0
0
0
4
4
0
40
40
0
0
8
8
0
0
0
20
16
4
0
0
8
0
0
1
1
0
0
0
0
0
4
0
0
8
8
32
0
0
0
8
8
8
6
8
8
1
0
8
8
8
8
58
0
0
0
0
31
0
0
16
8
1
16
2
2
2
0
0
0
0
0
0
0
16
20
0
0
8
0
48
0
8
8
8
8
4
33
0
0
9
16
16
0
18
0
16
0
0
0
4
20
1
0
1
1
17
8
8
8
0
33
0
0
0
8
8
8
8
8
8
0
0
0
24
0
16
2
4
8
8
0
0
8
0
0
4
6
6
6
4
4
40
8
0
16
8
8
8
0
8
0
0
8
17
0
0
0
2
32
32
0
0
0
24
0
0
16
0
0
2
8
26
8
16
48
48
0
8
16
16
0
2
1
0
12
16
8
16
8
8
0
0
8
8
0
0
0
0
4
4
4
20
0
9
0
0
8
4
4
0
0
0
0
16
16
16
0
4
2
16
0
0
4
4
0
4
32
8
0
8
8
16
1
24
0
16
0
0
0
20
0
0
0
0
8
8
8
8
16
0
1
1
1
32
32
32
32
16
0
8
40
25
0
0
2
0
0
0
49
8
0
16
0
0
16
8
4
0
0
0
0
0
4
6
6
16
0
0
0
0
0
0
0
2
8
0
16
16
4
0
8
8
1
1
32
32
8
8
0
0
16
16
16
8
0
0
0
0
9
0
0
0
8
8
0
0
0
8
0
0
0
1
1
0
0
8
17
0
0
0
8
32
0
16
6
0
24
24
0
0
0
0
8
8
8
8
0
0
8
8
9
0
0
8
0
8
0
4
0
0
0
8
0
0
8
8
0
16
0
2
2
0
0
0
0
9
0
0
0
0
8
8
28
0
0
4
16
8
0
0
0
0
16
0
0
0
0
16
16
16
1
4
4
4
0
0
8
2
0
0
16
20
20
0
0
0
0
16
0
8
0
8
32
0
6
2
2
16
16
16
8
0
0
0
0
0
32
0
0
0
0
8
8
0
17
5
16
1
2
0
4
0
0
4
0
0
8
4
16
0
16
16
16
16
24
8
0
20
4
4
0
0
1
1
0
0
0
0
8
16
0
16
8
18
18
18
18
18
0
0
16
15
8
0
0
16
16
8
16
0
0
0
16
0
16
8
1
8
0
0
40
40
0
0
0
0
0
0
0
8
34
24
8
8
16
0
8
1
1
1
8
8
8
0
2
2
2
16
16
4
0
0
0
0
0
0
0
0
0
24
16
0
0
0
17
0
0
8
0
16
18
2
8
0
0
8
6
6
8
8
0
8
8
8
0
20
8
8
8
16
4
0
41
41
0
0
0
8
8
8
8
0
0
0
8
8
0
0
0
8
8
8
12
0
0
0
0
16
16
16
16
0
1
1
1
16
16
0
0
4
4
2
8
8
16
8
8
0
0
8
4
8
8
0
0
0
16
1
1
8
16
16
16
8
0
0
8
16
16
0
18
18
0
0
0
1
1
3
8
0
0
8
0
8
24
24
24
0
0
0
0
0
8
0
0
0
0
8
0
0
0
4
24
0
4
4
22
22
0
0
8
2
2
2
24
24
8
24
24
16
8
0
8
8
24
0
0
0
1
16
16
8
16
16
1
8
16
0
0
0
8
0
8
8
8
0
0
16
16
0
4
17
17
17
0
0
8
8
2
0
8
32
8
0
5
14
8
8
0
0
0
0
0
0
0
32
0
1
8
2
8
0
0
0
16
2
2
6
0
16
16
0
8
8
0
24
0
4
0
16
4
0
0
0
0
0
2
0
0
0
0
0
0
0
0
4
16
0
8
8
8
8
0
8
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
16
8
8
0
0
0
0
0
0
16
0
0
0
0
0
8
8
8
0
0
0
0
2
0
0
0
0
0
16
16
1
0
16
16
0
0
0
0
0
8
4
0
0
4
0
16
16
0
2
2
2
0
0
0
0
0
36
2
16
0
29
8
24
24
8
8
8
8
8
0
16
16
0
8
16
0
2
16
0
0
0
16
4
16
32
32
32
10
0
0
0
0
0
16
16
0
0
0
0
0
8
12
0
8
24
4
4
4
8
16
16
16
8
0
8
4
16
16
16
16
8
8
16
16
16
16
16
1
16
0
24
0
8
0
0
32
32
12
8
30
8
0
0
0
0
0
0
0
16
16
0
0
0
8
2
16
0
0
2
0
0
0
0
0
0
16
8
0
0
8
8
8
4
20
0
0
1
1
1
1
0
0
0
0
0
0
6
6
12
4
4
4
1
1
1
1
8
8
0
0
0
0
0
0
8
0
0
0
16
0
8
8
0
0
0
16
2
0
56
8
32
32
32
16
16
32
4
0
16
0
8
0
0
2
0
0
0
0
0
8
8
0
0
0
4
4
8
8
8
0
0
0
0
4
0
16
8
0
0
0
0
0
16
16
8
0
0
0
0
12
0
0
0
0
8
0
0
1
1
0
8
16
8
1
1
21
0
0
0
0
0
44
0
0
4
16
16
0
0
0
16
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
16
16
16
16
16
16
16
0
0
16
16
1
0
2
2
1
16
16
16
16
0
8
0
24
16
0
0
16
16
0
0
0
0
0
3
4
0
0
0
8
1
0
0
1
0
8
16
0
8
0
0
0
8
0
16
16
0
0
0
18
0
0
0
0
0
4
4
16
8
8
8
8
8
1
1
0
0
0
0
16
16
2
7
8
0
2
2
8
0
0
16
16
16
4
0
0
0
8
8
0
0
0
0
0
8
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
8
8
12
12
0
1
0
4
4
0
8
4
4
16
22
16
16
4
0
8
0
4
8
8
8
8
8
0
0
0
16
0
0
8
0
4
16
8
8
0
0
0
8
0
0
0
4
8
0
16
16
10
4
28
16
0
0
0
11
8
0
0
0
8
0
32
8
8
6
6
6
16
0
8
8
0
0
0
8
16
2
2
2
0
0
0
0
0
0
0
0
0
16
8
8
2
8
8
8
0
24
0
0
0
16
0
8
0
0
0
8
0
0
0
4
8
10
8
8
0
16
16
0
0
0
8
16
16
0
0
0
0
0
0
0
4
0
0
0
1
1
1
0
8
16
16
16
6
0
0
16
16
16
16
16
0
0
0
0
16
0
0
0
0
0
0
26
8
8
0
0
0
0
0
0
9
8
4
20
0
1
0
0
16
8
8
0
32
0
24
0
0
0
8
8
8
0
0
24
16
8
8
8
21
16
16
6
16
0
4
4
4
0
0
8
8
8
8
8
8
0
0
0
8
8
0
0
0
0
8
0
8
0
0
0
16
8
32
0
0
8
8
5
8
0
0
0
0
0
0
8
16
8
8
16
0
0
8
0
0
0
0
0
24
0
57
8
8
8
8
8
4
4
8
8
16
0
0
4
8
0
16
0
8
0
8
1
1
8
0
1
0
0
0
0
0
0
0
32
32
4
4
8
8
0
0
4
0
0
16
16
0
57
57
57
0
24
8
8
20
0
16
16
16
16
8
8
0
0
1
1
0
4
16
4
4
8
8
16
6
2
8
8
0
0
0
0
2
2
2
8
8
3
3
0
16
4
4
16
12
0
0
0
16
8
1
1
1
1
0
1
9
0
0
0
0
16
0
8
2
8
8
16
16
16
0
0
8
8
2
0
0
0
16
16
16
4
0
0
16
16
18
0
0
0
8
17
2
2
16
42
42
0
1
8
2
2
2
16
1
8
8
8
1
4
0
8
0
0
12
12
9
0
0
0
0
0
7
12
8
26
26
0
0
0
2
4
0
0
4
0
16
0
0
0
9
0
16
16
16
8
0
0
0
0
1
1
1
1
20
2
2
0
11
8
16
8
0
16
4
18
0
2
8
24
1
17
32
16
16
16
16
8
2
0
8
0
0
8
8
8
8
0
2
0
20
0
2
16
0
0
0
0
24
16
16
16
8
8
0
0
32
0
1
0
0
0
0
8
0
2
2
8
4
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
8
2
0
16
0
0
0
0
0
4
4
4
4
4
0
0
0
8
8
0
0
25
0
21
2
44
8
4
16
0
0
0
8
8
0
0
0
0
20
4
8
8
24
0
8
1
1
1
1
0
8
8
8
16
16
16
59
0
0
2
2
28
0
0
0
0
0
1
0
16
8
0
0
1
0
2
32
16
0
0
10
2
0
8
0
16
16
16
8
8
0
16
0
2
0
1
0
2
0
0
1
1
8
0
0
0
0
14
2
0
0
16
8
4
0
0
16
0
0
24
0
16
8
20
20
16
12
0
8
8
8
3
0
4
0
1
0
0
8
0
0
8
8
17
0
8
8
8
8
16
8
8
8
8
8
0
0
4
4
8
8
8
8
8
8
1
16
5
5
0
1
0
4
0
0
0
0
4
0
0
0
0
8
8
0
16
16
0
0
16
0
0
8
8
8
24
24
0
0
0
4
4
32
8
8
8
0
0
0
40
0
0
0
0
0
12
16
0
0
8
8
4
0
0
8
0
4
16
0
0
32
8
8
8
0
34
16
16
0
1
8
8
0
0
8
8
8
8
0
0
0
12
1
0
0
0
0
0
0
0
0
0
0
4
4
1
1
8
16
0
8
4
8
0
0
0
0
1
16
16
16
16
8
8
8
16
16
8
16
16
0
8
8
8
8
8
0
0
0
0
0
0
8
8
8
8
4
8
0
0
16
16
0
8
0
16
16
16
16
8
8
0
16
8
0
16
16
16
8
0
16
16
0
1
0
0
0
8
36
0
1
0
2
2
0
0
4
22
8
0
8
8
8
0
0
16
16
24
0
0
1
8
16
16
0
16
16
16
16
16
1
0
0
0
8
8
0
0
8
0
8
8
0
0
0
0
8
1
1
0
0
0
0
8
0
0
8
40
16
16
0
8
24
0
2
0
0
16
1
0
0
0
0
8
8
16
0
8
8
8
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
16
8
0
0
0
0
0
0
8
0
0
0
0
4
4
4
1
16
24
0
8
8
8
8
8
4
4
4
4
0
0
0
1
16
0
8
0
0
0
0
8
8
4
4
4
8
0
17
0
0
16
0
8
0
0
0
0
0
0
22
22
4
4
18
8
2
1
0
8
0
8
8
0
0
0
0
0
8
8
0
0
2
0
0
0
0
4
4
0
0
0
0
16
16
0
9
9
0
0
0
0
2
8
8
4
0
8
16
20
4
8
4
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
10
8
0
0
8
16
16
0
0
0
12
8
0
4
0
0
0
0
8
8
0
0
0
8
8
8
0
0
0
41
0
18
0
0
0
1
0
16
0
0
0
0
0
32
32
24
0
0
0
0
0
1
1
1
8
8
8
0
1
16
0
0
0
16
0
0
16
16
0
0
0
0
0
0
0
0
0
2
2
0
0
0
0
8
4
16
16
16
8
0
1
8
0
0
0
4
0
0
0
4
0
0
16
16
16
0
0
0
0
0
0
0
0
17
8
16
4
8
8
8
24
24
0
0
0
0
0
0
2
16
16
16
0
1
0
0
16
2
32
0
16
0
0
8
16
16
0
8
8
0
0
2
0
0
0
8
0
0
0
0
0
0
8
8
0
2
1
0
0
8
8
8
8
0
0
0
1
8
0
0
0
8
16
0
36
8
0
0
0
24
0
2
4
4
4
16
1
1
16
16
0
0
0
16
16
0
0
0
0
0
2
2
1
1
8
16
0
0
0
8
0
0
2
2
2
0
0
0
0
0
0
0
0
12
8
8
8
16
0
0
0
0
0
0
16
16
0
0
4
0
8
0
0
0
0
0
0
0
0
0
0
8
0
0
0
32
8
4
0
0
24
0
0
8
0
0
0
32
8
0
16
24
0
0
1
0
0
4
0
1
1
1
32
0
0
0
0
0
24
24
24
0
0
0
8
8
0
8
8
0
0
0
0
8
0
0
0
8
8
8
8
4
0
0
0
8
0
23
16
12
12
0
0
0
0
8
0
0
3
0
0
0
0
0
4
0
8
0
16
16
16
16
16
16
16
16
16
0
0
0
8
0
0
0
2
0
16
0
0
0
0
0
0
0
0
8
0
0
24
0
18
4
4
0
0
0
17
13
0
0
29
0
0
0
0
0
0
0
0
8
0
16
16
16
16
0
0
0
0
24
0
0
0
0
16
0
0
24
24
24
1
1
0
0
24
0
0
0
0
12
8
8
0
0
16
0
0
1
0
0
0
0
0
16
2
0
0
0
18
18
0
0
0
8
0
0
0
0
0
0
0
0
0
0
14
0
0
0
0
0
8
0
0
0
0
0
2
0
2
0
4
12
0
0
0
16
16
16
0
0
0
0
0
0
0
0
0
2
4
4
0
0
2
0
0
0
0
8
8
8
8
0
0
28
0
8
8
4
8
0
0
1
1
8
0
0
0
2
0
0
0
32
0
0
0
0
0
27
0
0
0
0
0
0
2
0
8
0
0
8
8
0
0
0
1
0
16
0
0
0
16
24
0
0
8
0
0
0
0
0
0
0
0
8
8
8
8
0
16
16
2
2
2
35
16
0
1
0
0
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
8
0
0
0
0
0
8
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
16
0
0
16
0
0
0
0
8
0
1
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
2
12
12
4
4
0
0
20
0
0
0
24
24
24
0
0
0
0
0
0
0
8
8
0
16
1
0
0
1
0
0
0
0
0
8
0
8
8
8
2
2
2
16
16
8
8
1
0
0
16
16
0
0
16
0
0
0
0
16
2
2
2
16
0
0
0
0
5
0
0
1
1
0
0
0
0
0
12
0
16
24
8
8
16
16
22
18
0
0
0
0
0
0
4
8
1
0
1
0
32
1
1
0
0
0
0
0
0
0
13
1
1
1
16
16
16
0
0
0
0
0
0
0
0
0
0
0
16
16
16
16
16
0
0
0
0
0
0
4
0
0
0
0
0
0
0
28
8
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
1
0
0
2
0
8
8
8
0
16
16
0
4
0
0
0
8
8
8
0
0
0
0
2
2
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
24
0
0
4
4
2
0
0
4
0
0
0
0
4
0
0
6
2
8
0
8
8
8
4
4
4
4
0
8
0
4
0
0
0
16
16
4
0
0
16
0
0
0
0
0
0
0
0
8
0
0
12
17
0
8
8
8
8
0
0
0
0
0
4
0
0
4
0
0
0
8
8
0
0
0
16
16
8
8
8
16
36
36
0
0
0
16
0
0
8
8
8
8
0
0
0
10
0
0
8
16
0
0
0
0
0
4
4
0
8
0
16
0
8
16
0
4
0
0
0
4
4
28
0
6
0
1
1
1
0
8
16
1
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
4
0
0
0
0
4
1
24
0
0
0
0
0
0
0
0
0
0
0
16
0
16
8
0
0
0
0
0
0
8
8
8
8
16
16
4
8
0
28
0
0
0
0
0
0
0
0
1
0
0
0
0
16
16
9
9
0
4
4
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
4
0
8
0
0
0
0
4
4
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
24
0
0
0
0
1
1
0
16
20
0
0
0
0
4
4
2
0
0
16
0
0
1
8
8
0
0
0
0
0
8
4
0
0
24
8
8
0
0
0
16
16
4
24
0
0
0
0
0
17
0
0
8
8
8
16
0
0
0
0
0
0
0
0
0
0
16
0
0
0
7
7
7
0
8
8
8
0
16
1
0
8
0
0
2
8
0
8
8
8
8
8
0
0
0
0
0
0
0
4
4
0
16
2
0
0
0
1
1
0
0
0
0
0
0
0
8
0
0
8
0
16
0
16
0
0
16
0
0
0
0
0
0
16
8
0
0
0
0
0
8
8
2
0
0
0
0
0
0
4
4
8
16
0
0
0
8
8
8
0
0
0
0
0
0
28
0
0
0
0
0
0
0
0
0
8
0
8
8
4
4
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
1
0
0
0
0
8
16
16
24
0
0
0
0
0
8
0
8
0
17
17
0
0
0
0
1
1
1
0
0
16
0
28
0
0
0
0
1
1
0
0
0
22
3
3
0
0
0
16
24
16
0
0
0
16
0
6
2
0
0
0
0
16
8
0
0
16
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
8
12
8
8
0
0
16
8
8
16
17
0
8
8
0
0
0
0
0
0
0
0
4
4
0
0
0
16
8
0
8
8
8
0
0
8
8
0
8
8
8
8
8
8
8
24
5
4
8
8
2
2
0
0
0
0
0
0
0
0
16
16
16
0
4
0
4
4
4
8
8
0
16
0
12
0
0
0
0
0
0
0
8
8
8
0
16
17
16
8
8
8
0
0
0
0
0
0
0
0
0
22
22
22
22
8
18
18
22
22
0
0
1
0
0
0
2
0
0
4
0
0
0
0
0
0
1
0
16
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
0
8
0
0
0
0
0
17
17
16
0
0
0
0
0
0
8
0
0
0
0
28
0
8
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
4
4
6
0
8
8
0
0
0
19
0
0
16
0
1
1
1
0
8
16
0
0
0
1
16
8
2
0
8
0
0
0
0
0
8
16
0
1
16
16
16
0
0
8
0
0
0
0
0
0
0
8
0
4
4
1
1
0
16
0
0
4
4
0
1
0
8
0
16
0
0
0
0
0
0
21
21
0
0
20
2
2
0
18
4
0
1
0
16
0
0
0
0
0
0
0
0
0
0
1
16
16
0
0
0
5
0
0
4
8
1
16
16
16
0
16
0
0
0
0
4
8
0
0
0
20
0
0
0
0
0
0
1
1
0
0
0
0
24
0
16
16
0
0
0
0
2
2
1
4
0
0
0
16
0
1
1
0
0
16
0
0
0
0
0
24
0
0
0
0
0
0
0
16
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
20
0
16
16
16
8
8
0
0
16
8
0
0
0
0
0
0
16
0
18
0
0
0
16
16
0
0
8
0
0
0
0
2
0
0
0
0
8
8
8
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
16
8
17
0
0
0
2
2
0
0
2
8
8
8
8
8
0
0
8
8
0
8
8
8
8
0
0
8
8
8
8
8
8
12
8
0
0
0
0
0
0
16
1
1
0
0
0
0
0
4
0
0
0
0
0
0
17
0
0
0
0
1
1
0
0
0
8
0
0
0
0
12
0
0
0
8
8
0
0
0
4
4
0
0
0
8
4
4
8
0
0
16
0
4
4
9
9
9
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
1
0
0
0
0
0
0
0
16
16
0
8
8
0
0
10
0
0
0
0
0
0
0
0
0
24
24
0
8
8
0
0
0
0
0
0
8
40
8
8
18
0
0
0
0
0
0
4
0
17
0
0
8
8
0
16
16
16
1
8
8
16
4
0
0
0
0
4
4
0
8
24
0
0
8
8
1
0
16
0
0
0
0
0
0
0
0
16
8
0
16
0
0
0
8
0
0
4
0
0
8
8
0
0
8
0
0
4
8
0
0
0
0
0
0
2
0
0
8
0
0
16
0
0
32
0
0
16
0
17
8
0
0
4
0
0
0
0
0
0
0
16
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
28
0
0
0
0
0
0
0
16
16
8
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
4
0
0
4
0
0
4
4
0
16
0
0
8
8
8
0
0
0
0
4
0
0
0
6
6
16
16
8
8
0
0
0
0
8
1
1
0
5
5
0
0
0
0
0
0
0
2
2
2
18
0
0
0
0
0
0
12
0
0
0
0
0
16
16
16
8
8
8
24
0
8
0
0
0
0
0
0
0
0
0
0
16
2
0
0
0
0
4
4
0
1
1
1
8
0
0
2
2
2
16
0
2
0
0
0
8
0
0
0
0
8
8
8
8
8
8
0
8
8
8
8
0
0
0
34
0
0
57
4
0
0
0
0
0
0
0
0
2
32
2
0
0
0
16
0
0
0
0
0
0
0
0
0
0
4
0
32
0
0
0
4
4
4
4
4
16
2
0
0
2
4
0
0
0
0
0
0
16
2
2
0
0
0
0
0
46
25
0
8
8
0
0
0
0
0
0
0
0
20
20
20
20
20
4
0
0
0
4
0
0
1
1
0
1
17
8
16
4
4
4
1
0
0
1
0
0
0
0
0
0
2
0
0
32
32
0
8
0
4
0
8
8
0
0
0
0
0
0
0
0
16
17
9
9
1
0
0
0
0
0
4
0
0
16
16
16
8
8
0
16
0
0
8
0
0
0
0
0
0
8
8
0
8
16
8
8
0
24
0
0
0
0
0
9
9
24
8
8
0
24
16
0
0
0
16
16
16
0
0
8
8
2
2
0
0
0
0
0
0
0
0
0
32
2
0
0
0
0
0
32
0
0
0
0
0
0
8
4
0
4
0
0
0
1
24
0
0
0
26
0
0
0
0
0
0
0
0
0
0
4
4
24
16
16
0
0
16
0
0
0
16
16
16
2
0
17
0
0
4
2
0
0
0
0
0
0
0
0
0
0
0
32
52
0
0
4
4
16
16
0
0
0
0
0
0
0
0
0
0
0
0
32
32
0
0
0
0
0
0
16
0
0
0
0
0
0
16
8
8
16
0
0
0
8
20
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
17
17
0
0
0
0
16
8
4
8
8
8
0
4
0
0
0
0
20
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
8
8
0
8
0
8
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
8
0
0
0
0
16
0
36
16
0
0
0
1
1
1
1
1
0
0
0
0
0
0
0
0
16
0
8
0
0
4
0
0
0
0
8
16
16
16
0
0
0
0
0
0
0
0
0
0
0
16
8
0
0
0
0
0
0
0
1
1
0
8
17
17
0
0
0
0
0
0
0
0
0
4
4
0
0
0
0
8
0
0
0
0
0
0
0
0
0
4
44
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
8
0
0
0
0
8
8
8
8
8
8
8
0
0
8
0
0
0
0
2
2
0
0
4
0
57
0
0
16
0
8
8
8
4
4
17
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
24
0
0
0
0
57
8
12
0
0
6
6
1
0
0
0
24
24
24
0
0
0
0
0
0
24
0
0
0
0
0
0
0
1
1
0
0
0
0
0
8
0
16
2
4
8
4
4
10
0
0
17
17
0
0
0
0
16
2
2
8
8
0
0
0
0
56
0
0
0
0
0
0
0
0
8
0
0
4
4
0
10
0
0
8
0
0
0
0
8
8
8
8
8
0
8
4
0
16
16
4
0
0
0
0
0
0
0
24
0
0
0
0
16
16
8
8
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
16
0
0
0
0
0
16
0
0
0
8
0
0
32
0
0
0
0
2
2
8
0
0
0
0
0
0
0
0
0
0
16
0
0
4
0
0
8
8
0
0
0
0
8
16
16
0
8
0
0
0
0
0
0
6
6
6
0
6
0
0
0
0
0
0
0
0
24
0
18
18
0
0
4
4
0
0
0
56
9
9
0
8
16
8
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
19
0
0
6
0
0
0
0
0
4
4
4
4
0
0
8
8
0
0
0
0
16
32
16
16
2
0
0
0
0
16
0
0
0
0
16
16
0
0
0
0
0
0
24
0
2
0
0
0
0
16
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
8
0
0
16
0
8
8
0
0
0
0
25
0
0
0
0
0
0
0
0
0
16
16
16
0
4
0
0
0
0
0
8
0
0
0
0
0
0
16
8
0
0
0
0
0
2
2
0
8
0
2
0
28
16
16
0
0
0
0
0
0
1
0
0
2
0
20
16
32
32
1
1
1
0
8
8
0
0
0
8
0
0
0
0
0
28
28
28
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
47
8
0
0
0
28
0
24
8
4
0
8
0
2
0
16
0
0
0
0
8
8
8
0
0
0
16
16
0
0
0
8
4
4
16
8
0
16
0
0
8
8
8
8
16
0
8
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
8
8
8
4
10
0
0
0
1
1
1
1
17
20
8
4
4
0
0
0
24
24
2
0
0
0
1
0
0
0
0
0
0
0
0
0
0
6
6
8
0
0
0
1
0
8
8
0
0
0
0
0
4
4
0
0
0
0
0
22
0
1
1
0
0
0
0
0
0
0
0
4
0
0
0
0
8
8
0
0
0
0
0
0
0
0
8
0
16
16
0
4
0
16
18
0
0
8
8
0
1
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
8
0
0
32
0
8
8
8
8
32
32
16
0
2
0
0
0
0
0
6
8
8
2
24
8
0
1
0
0
3
25
0
8
8
24
24
0
0
8
8
8
8
0
0
8
0
0
0
0
0
8
0
0
0
0
0
0
0
4
0
0
32
32
1
2
0
0
0
0
0
0
16
0
0
0
0
0
16
16
16
16
1
8
8
8
1
1
1
0
0
6
0
0
8
8
0
0
16
0
0
0
8
8
8
0
0
4
4
0
16
0
4
0
0
16
0
49
0
0
8
0
0
0
0
8
8
1
16
0
0
0
0
0
0
0
8
8
0
0
0
0
16
0
16
16
20
0
8
0
0
0
0
0
22
22
0
1
0
0
0
0
2
2
8
0
0
4
0
0
0
0
0
0
0
0
32
0
0
0
0
0
0
0
0
8
0
16
0
0
30
4
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
0
0
8
8
0
0
0
16
16
0
0
0
0
0
0
0
1
0
0
0
0
4
0
4
4
0
4
8
8
8
0
20
1
0
32
32
16
16
16
16
8
8
8
16
43
16
0
0
0
0
0
0
49
1
0
8
8
8
20
16
0
1
28
16
16
16
16
1
8
0
0
8
0
0
0
0
0
16
0
8
16
16
0
17
0
0
0
0
0
0
0
0
0
0
0
1
0
8
0
0
0
0
0
0
0
8
8
16
16
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
8
8
0
0
0
4
4
1
1
40
8
8
24
16
16
0
0
8
0
24
0
0
0
0
8
8
8
20
0
0
16
16
16
0
11
0
0
0
8
0
24
24
0
8
0
0
8
8
0
0
0
8
8
8
16
16
0
0
17
0
0
0
0
0
0
0
0
0
0
0
0
21
0
0
0
0
0
0
16
16
0
0
0
8
0
1
8
8
0
0
8
8
8
0
0
16
0
8
0
0
0
0
0
8
24
0
0
2
0
4
16
16
16
16
0
4
1
1
4
0
0
0
32
0
2
0
4
4
0
0
0
0
0
0
0
0
0
0
8
8
8
4
4
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
61
16
16
16
16
16
0
0
0
0
8
16
0
0
0
0
16
8
0
0
8
14
24
24
0
0
0
8
0
0
0
0
16
16
8
8
8
0
20
20
0
0
0
0
16
1
16
8
4
4
0
3
3
3
0
16
0
0
4
2
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
4
4
8
8
8
8
0
0
0
60
60
60
60
0
0
0
0
0
0
0
0
0
24
0
0
0
0
8
8
0
0
0
0
16
16
0
0
0
16
8
8
8
0
0
1
16
8
2
2
0
0
4
4
0
8
0
4
4
0
1
16
16
0
0
0
0
0
18
18
0
0
0
0
0
0
0
8
0
0
0
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
8
0
24
0
0
8
8
2
2
0
0
16
0
0
6
8
4
4
0
0
4
4
8
8
8
8
0
8
8
0
0
1
0
0
0
16
0
8
26
26
0
0
0
0
0
0
0
0
0
0
1
8
8
8
8
0
0
0
0
0
2
0
0
0
0
12
0
0
0
0
0
0
0
8
8
24
8
0
0
8
2
2
2
0
25
0
16
8
8
0
16
30
0
1
18
0
0
0
8
0
1
0
1
1
0
16
0
0
0
8
20
24
8
8
8
8
8
4
8
18
2
0
60
8
0
8
5
0
0
40
8
0
0
8
0
0
2
2
0
0
16
0
0
0
0
0
0
20
20
0
8
8
0
0
0
0
0
0
0
8
8
8
8
0
2
0
0
0
0
0
1
1
8
0
0
2
1
1
1
1
8
8
0
0
0
0
2
0
14
0
0
2
8
0
0
16
0
0
0
0
1
0
0
0
4
16
4
4
8
0
0
2
2
2
8
0
16
8
8
8
0
0
0
0
8
0
0
16
0
24
0
0
20
4
0
0
0
0
0
0
16
16
16
16
0
0
0
2
0
0
8
0
0
0
0
0
16
16
8
8
0
0
0
0
0
0
28
28
0
16
0
0
0
0
16
16
0
0
0
0
8
8
8
0
8
2
0
0
8
8
8
2
2
2
0
0
0
16
16
16
8
0
18
0
0
0
4
4
0
30
22
0
0
0
24
8
8
0
0
2
2
12
0
4
0
0
8
8
0
0
0
0
0
0
0
0
8
0
0
0
8
8
24
24
24
0
24
0
0
0
8
8
8
8
8
0
0
8
8
8
0
16
0
2
0
0
0
17
0
8
8
8
8
8
8
0
0
16
16
8
9
0
0
0
8
8
0
8
8
4
4
8
0
32
0
16
0
16
0
0
0
0
8
8
8
8
8
8
1
0
16
0
16
16
18
0
0
8
0
0
0
0
0
0
0
8
4
0
0
0
0
0
0
24
24
24
1
1
1
1
0
0
0
0
4
16
0
0
7
7
7
7
0
0
0
0
0
16
0
0
0
0
0
2
0
0
0
0
0
0
1
0
0
1
0
0
0
2
2
2
0
2
2
0
8
0
2
32
0
0
0
0
0
0
8
8
8
0
0
0
18
17
17
0
0
0
8
0
24
16
0
0
0
0
16
16
16
16
0
1
1
8
2
2
0
0
4
8
54
54
33
33
0
9
16
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
24
0
0
0
0
8
8
1
1
0
0
0
16
0
0
0
0
8
8
8
21
0
0
12
0
8
48
0
0
0
0
0
8
0
2
0
17
8
1
0
16
0
0
16
0
0
16
16
16
24
24
2
0
0
0
0
1
0
0
0
0
0
0
0
8
8
0
0
0
2
0
0
0
16
16
16
16
0
16
16
0
0
8
16
0
0
1
0
0
16
0
0
8
8
8
0
4
0
20
20
0
22
16
16
20
0
0
16
1
8
8
0
17
17
4
8
0
0
0
0
22
8
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
24
24
0
0
0
2
0
0
0
0
0
0
0
0
2
2
0
8
0
16
24
24
16
0
8
16
16
16
0
8
16
16
0
8
8
0
0
0
8
0
16
4
8
16
8
4
16
0
0
0
0
0
0
0
16
0
0
0
16
8
8
8
0
0
0
0
0
0
0
0
0
8
8
0
0
0
8
0
0
0
0
3
8
16
16
16
16
8
8
8
0
0
8
0
8
8
8
8
8
16
1
56
56
56
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
20
0
0
16
8
8
0
0
0
0
0
0
0
0
4
4
16
16
0
0
0
0
8
8
0
2
2
2
0
0
0
0
0
0
8
0
8
1
8
8
0
0
0
56
0
0
0
0
36
36
2
0
0
8
0
0
8
8
0
1
8
8
1
0
0
0
8
0
0
24
24
24
2
2
8
8
8
0
0
0
0
8
0
16
0
4
4
36
36
0
0
0
1
0
8
4
4
4
0
0
0
16
16
16
0
0
33
8
0
0
8
4
4
0
8
8
2
0
1
0
0
0
8
8
8
0
0
0
8
0
0
16
16
48
0
8
0
0
8
16
1
1
16
0
0
0
2
0
0
8
16
56
8
0
0
0
2
0
0
16
8
1
16
0
0
16
0
16
16
16
0
0
0
0
4
4
8
21
16
8
0
0
0
0
0
0
8
2
0
8
8
8
8
8
8
8
8
8
8
8
16
16
8
4
4
4
16
16
8
8
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
32
32
16
12
12
8
34
8
0
0
0
0
0
0
8
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
8
0
1
0
0
0
8
8
0
2
0
8
16
0
16
0
0
0
0
0
0
8
0
0
0
0
16
17
17
8
8
2
2
2
0
22
22
22
2
0
6
6
2
0
21
0
0
0
0
0
8
0
0
0
0
16
16
0
0
0
0
0
0
0
16
8
0
0
0
0
0
0
0
4
4
4
0
0
0
8
8
0
0
8
8
1
0
0
0
8
4
34
1
1
1
18
8
8
0
32
32
0
4
8
8
8
8
8
8
0
24
8
8
16
0
0
0
0
0
0
0
0
0
6
16
2
0
0
0
0
16
0
1
1
16
12
12
12
0
0
0
0
8
0
24
24
24
24
0
0
1
1
0
8
0
0
8
0
0
4
21
1
0
0
8
8
1
0
32
0
10
2
0
32
8
0
16
16
0
0
0
0
0
0
24
24
8
16
24
0
8
0
34
1
17
0
3
3
0
8
0
0
0
8
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
16
1
16
2
20
0
0
0
0
0
0
16
8
8
8
8
0
18
0
0
4
0
0
0
0
4
16
8
0
0
17
1
1
0
0
0
0
0
8
8
8
8
0
0
33
33
0
0
0
0
0
0
1
1
24
24
24
24
18
9
8
32
8
8
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
8
8
28
24
4
4
8
8
0
0
0
4
0
0
0
8
0
8
0
0
0
0
24
0
0
0
16
16
4
0
0
0
8
0
0
0
0
0
0
8
4
0
0
0
0
0
0
0
8
8
8
8
16
0
0
0
0
8
8
0
8
8
8
1
0
8
8
16
8
0
0
0
0
0
33
33
33
33
1
0
16
16
0
0
0
0
0
8
0
0
8
8
8
0
0
0
8
0
35
0
0
8
8
0
0
0
0
10
16
30
0
8
8
8
0
20
0
0
0
0
0
6
8
49
49
4
4
4
4
0
0
0
8
8
0
0
8
8
8
0
4
4
1
0
0
0
0
16
16
0
0
0
0
8
8
0
8
8
0
1
1
16
0
0
0
8
0
0
0
4
2
2
0
8
3
0
0
2
0
8
0
0
8
0
0
0
0
8
0
0
0
8
8
0
0
1
1
32
32
0
0
8
8
0
0
0
0
0
0
0
0
8
2
0
8
0
0
2
16
0
60
0
16
0
16
0
0
16
0
0
0
2
2
1
1
0
0
0
0
0
1
0
16
24
32
4
2
4
0
8
0
0
0
0
24
0
16
16
0
2
1
0
1
0
16
0
9
0
0
4
4
8
0
0
0
0
8
0
0
0
4
4
4
4
8
0
0
8
8
0
0
8
8
17
17
16
12
32
0
2
0
0
1
0
0
8
8
8
0
0
0
0
0
0
34
0
2
8
0
0
0
0
16
0
0
0
0
2
0
2
2
2
2
0
4
4
0
0
0
0
16
20
16
16
0
8
0
8
4
4
4
8
0
1
16
16
0
1
0
0
4
0
0
8
16
8
8
0
0
0
0
0
0
8
8
4
8
16
25
8
0
0
0
0
0
0
8
0
0
0
0
0
8
8
4
16
0
8
8
4
24
0
0
0
8
16
16
0
0
10
0
1
8
8
0
0
0
0
0
0
0
0
0
0
4
0
0
16
4
4
4
4
0
49
0
0
8
0
16
0
16
8
8
16
16
0
16
8
8
8
16
16
4
4
49
0
16
0
16
40
0
16
16
4
0
16
0
0
20
0
0
8
2
16
2
2
4
0
16
1
0
0
0
0
0
4
2
0
16
16
16
0
0
2
2
0
8
0
0
0
0
33
8
8
4
0
0
0
8
2
10
2
4
8
4
0
0
2
16
0
0
10
0
16
0
8
8
8
16
8
8
8
0
0
0
0
0
0
0
0
0
0
0
8
0
5
0
0
8
28
4
0
0
0
0
56
2
0
8
8
0
0
32
32
0
0
0
16
0
0
0
0
0
0
16
0
0
0
0
1
1
1
0
8
8
8
0
0
2
0
0
0
0
0
0
16
0
0
0
8
8
0
0
0
0
0
0
0
0
0
16
0
0
32
2
16
8
8
8
0
0
1
8
8
0
8
4
4
16
0
0
0
0
8
8
8
8
8
16
16
0
8
8
0
0
24
16
2
0
0
0
16
32
0
5
1
1
0
14
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
17
0
0
0
0
0
0
0
0
0
2
2
4
4
0
8
1
1
0
0
0
0
0
0
8
8
0
16
16
0
0
0
0
24
0
2
0
0
0
3
3
3
0
0
0
0
0
8
0
0
0
16
16
0
0
0
0
8
8
0
0
26
2
8
0
16
8
0
1
0
0
0
60
0
0
2
0
16
8
8
8
8
0
8
8
8
12
0
0
0
0
24
8
8
8
8
8
1
0
4
0
8
8
16
1
0
4
0
8
0
20
32
16
16
0
4
0
0
8
8
0
4
4
4
4
0
0
16
4
4
16
16
8
0
0
0
4
0
0
0
0
0
16
0
2
2
4
8
8
0
8
0
6
0
0
24
2
0
0
0
0
32
32
32
32
32
0
0
0
1
16
0
8
8
0
20
20
20
1
24
24
24
24
24
24
24
4
8
8
0
48
48
0
4
4
8
8
0
0
0
0
0
0
0
2
2
2
1
16
6
2
0
0
0
0
0
0
0
1
1
1
1
0
0
1
1
1
1
0
0
0
8
8
8
8
8
9
9
16
0
0
4
16
16
0
0
16
16
0
0
0
8
8
0
0
4
0
0
8
0
0
8
0
10
0
8
0
8
0
0
32
8
0
0
0
0
0
0
4
0
0
0
0
8
8
0
0
0
16
1
1
0
0
0
0
0
0
16
0
0
8
8
8
8
4
1
2
32
4
0
8
8
35
1
0
0
16
4
0
0
4
0
0
0
0
0
0
8
8
0
0
0
10
2
8
8
16
16
4
4
0
0
8
0
0
0
0
0
0
0
0
0
16
16
8
0
0
4
16
0
0
0
0
17
5
1
16
0
0
16
0
0
8
0
0
1
0
0
2
2
8
0
8
12
12
0
0
0
0
0
0
0
0
16
0
0
16
16
16
16
4
0
8
8
16
0
16
16
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
8
0
4
0
0
0
8
17
17
8
8
0
32
4
4
0
0
0
0
0
0
4
0
0
0
0
0
8
8
0
0
8
8
8
8
8
8
3
1
1
1
1
1
4
0
8
8
8
0
0
8
24
0
0
16
16
0
8
16
8
0
8
0
8
8
8
0
1
0
0
0
0
3
0
0
0
0
0
0
16
16
0
0
0
0
0
0
4
0
8
4
0
16
16
8
8
0
8
8
0
0
16
0
0
0
12
0
0
0
0
4
4
0
12
0
8
1
0
38
32
32
0
0
0
0
0
0
0
0
8
0
28
16
16
0
4
1
8
4
8
8
16
16
8
8
0
0
2
8
8
0
32
0
4
0
4
4
8
0
0
8
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
8
8
4
0
0
16
0
16
0
0
8
0
0
24
0
4
2
0
8
0
0
0
0
0
8
8
8
0
8
4
0
0
2
0
0
0
0
4
0
0
0
0
16
20
0
0
48
48
0
0
0
0
0
5
0
32
0
0
0
8
16
24
0
16
8
0
0
0
0
0
0
0
0
16
16
0
0
0
40
0
8
8
8
1
0
0
0
0
2
0
0
0
0
0
0
8
0
0
0
1
1
0
8
0
16
0
4
0
16
0
0
0
0
0
8
8
0
0
0
10
8
8
8
4
0
0
8
8
0
8
0
0
0
8
0
0
0
0
0
0
0
8
32
16
0
8
8
8
0
0
0
8
8
8
8
8
0
0
0
0
0
4
0
2
16
8
0
0
0
1
1
0
0
0
0
32
0
0
2
20
16
1
32
32
0
1
0
20
56
8
0
0
0
0
0
16
0
0
0
40
40
0
0
0
0
0
1
8
0
0
17
8
8
0
0
0
0
0
2
0
0
8
8
0
8
33
33
0
0
0
22
0
8
0
2
0
0
0
0
8
4
4
4
9
4
16
4
0
4
12
12
12
12
0
0
0
8
0
0
4
4
8
0
8
10
8
8
8
0
0
16
8
0
8
8
8
8
8
0
8
11
0
2
0
0
62
0
0
0
0
4
0
0
0
0
0
0
16
8
8
8
0
0
0
0
0
0
0
0
8
2
0
0
0
0
8
0
0
0
16
0
0
0
4
4
0
0
0
0
19
0
0
0
0
8
8
16
16
4
2
2
8
8
8
8
0
0
8
8
0
0
1
0
0
2
2
0
0
0
1
8
8
0
8
2
2
0
32
32
0
1
0
0
0
8
0
0
8
8
16
16
0
4
58
0
0
8
16
2
2
0
0
0
8
8
0
0
4
4
8
4
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
16
0
16
16
0
0
0
2
2
2
2
2
1
1
0
0
0
0
0
0
0
16
0
8
0
16
16
0
16
2
18
2
2
2
16
0
16
16
0
0
16
0
16
0
2
2
0
8
8
0
0
0
32
32
0
0
2
8
8
8
8
8
8
8
0
0
0
1
0
0
0
18
18
18
0
8
8
0
0
16
24
2
0
0
8
0
8
8
8
8
17
17
1
0
8
0
0
0
8
0
0
0
0
0
0
0
0
8
0
0
0
16
2
0
0
0
24
8
4
4
8
8
8
0
0
0
8
4
0
0
0
4
1
1
2
8
25
0
0
0
0
0
0
0
0
45
45
0
16
0
0
8
8
8
0
0
0
8
8
8
0
0
0
8
8
0
0
16
8
8
0
0
4
4
8
0
0
2
2
0
8
0
0
8
2
2
0
0
0
0
0
8
0
0
0
0
16
16
0
0
0
0
0
0
2
2
16
0
0
16
16
16
0
8
16
16
16
16
16
16
16
0
0
0
0
0
0
0
0
16
0
0
1
0
0
8
1
1
8
8
0
0
0
0
16
16
0
0
32
32
0
16
0
2
2
2
0
0
0
8
4
0
8
8
8
0
16
6
6
6
8
8
8
8
0
18
0
0
24
16
8
4
1
16
0
8
8
8
2
16
16
0
0
8
0
8
8
16
8
0
0
0
0
0
4
0
16
2
0
0
0
0
8
0
4
20
0
0
12
0
16
16
16
16
16
16
16
0
6
6
6
0
16
0
16
16
0
0
4
4
0
16
0
8
8
16
8
8
8
8
8
16
0
0
0
0
0
0
0
0
8
8
0
0
0
3
0
0
0
0
0
0
0
0
8
8
16
16
0
0
8
8
16
8
0
0
8
0
0
2
0
1
0
24
16
0
0
0
1
8
0
16
0
8
0
32
32
1
0
0
0
8
0
0
24
16
0
0
0
16
40
40
40
17
17
17
17
17
17
8
0
0
0
0
0
4
4
4
0
0
4
4
22
0
4
16
8
8
0
32
36
36
16
4
8
8
2
2
8
8
4
8
24
24
0
0
2
2
0
0
38
32
0
0
4
8
8
8
0
0
5
0
24
0
0
0
0
0
0
0
16
0
2
2
2
2
4
4
0
16
0
24
0
8
8
0
0
0
24
24
2
0
0
0
0
8
8
8
57
0
0
0
40
8
8
0
8
0
0
18
18
18
8
16
8
8
8
8
8
0
9
8
8
8
1
16
4
8
8
20
4
0
8
0
32
32
24
24
9
9
9
8
4
0
0
1
16
0
0
18
24
16
16
16
16
8
0
1
1
1
0
4
0
0
16
4
8
16
16
16
0
0
1
8
8
8
8
0
4
0
4
0
0
0
0
0
20
4
0
0
16
16
8
8
8
0
8
8
0
2
2
0
0
0
8
8
8
0
0
1
1
1
0
0
24
24
0
0
2
24
0
0
0
0
0
0
0
0
0
8
1
8
0
0
0
8
8
16
16
5
0
0
4
17
0
8
0
16
16
16
16
0
0
0
1
0
0
8
8
0
0
0
0
0
8
0
8
16
0
0
0
0
8
8
24
24
24
24
16
0
0
16
8
8
8
0
0
24
0
0
0
0
8
16
8
0
17
0
12
0
4
0
0
2
2
0
0
0
0
0
1
1
16
0
27
0
0
8
0
0
0
0
8
24
0
0
0
0
0
0
0
8
0
8
0
4
4
2
0
1
8
0
0
0
0
0
0
0
8
16
16
16
16
16
16
16
16
8
4
4
8
0
0
0
0
0
4
16
8
8
0
0
8
8
16
16
16
0
0
4
0
0
8
4
0
16
0
8
2
0
8
0
0
0
0
0
0
0
0
0
1
8
8
8
0
8
0
4
16
16
20
16
0
0
0
0
2
2
0
0
0
8
0
0
0
16
0
9
0
0
16
16
16
6
0
8
8
0
8
4
0
16
0
16
16
16
20
16
8
8
8
36
4
0
0
0
0
0
21
0
0
0
0
0
0
0
0
8
0
36
36
36
0
8
8
8
8
8
8
16
8
8
0
8
0
0
8
0
1
1
8
8
0
0
4
4
4
16
0
16
0
4
8
8
24
24
0
0
0
0
0
0
0
4
4
4
16
0
8
8
0
0
0
0
0
4
8
8
8
16
0
0
0
0
2
0
8
0
0
0
0
0
2
16
16
16
0
2
2
0
2
0
17
0
0
0
24
20
20
20
16
16
16
8
8
0
0
16
16
0
4
8
0
0
0
0
16
8
4
4
0
0
0
20
0
0
0
0
0
0
0
16
16
0
0
8
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
20
20
20
20
20
20
0
0
4
8
2
2
0
0
1
3
0
2
16
0
0
0
0
0
0
8
0
12
8
0
13
2
16
0
0
24
16
8
0
8
0
1
16
16
16
0
8
0
1
17
17
0
0
0
0
0
0
24
8
8
8
8
8
8
16
8
8
8
8
16
0
0
0
1
1
1
1
1
1
1
0
9
8
0
20
0
16
16
16
8
0
0
0
17
17
0
0
0
0
0
0
0
16
8
8
0
16
8
0
0
0
0
0
16
32
0
0
0
0
4
1
1
1
28
0
0
8
8
8
11
11
8
8
8
8
2
8
0
8
8
16
0
0
0
0
0
0
0
8
4
0
0
0
16
16
16
0
1
5
8
0
0
0
1
1
1
0
0
8
8
0
8
8
16
16
8
17
8
0
4
4
8
0
16
0
0
0
8
4
2
2
2
8
16
0
0
8
16
0
8
8
9
0
2
16
16
32
0
0
0
0
0
0
0
8
0
0
8
0
0
0
0
0
0
0
0
44
0
0
8
0
0
0
8
8
8
8
0
0
0
8
0
0
0
0
0
1
1
16
16
16
8
8
0
0
0
16
16
0
8
0
0
16
16
16
16
0
32
16
8
2
2
2
8
16
16
0
0
0
0
8
48
48
48
16
8
8
2
0
0
0
0
8
8
0
0
4
4
0
0
16
1
0
16
0
0
0
0
0
0
0
8
0
0
0
32
0
32
32
32
8
0
8
0
8
24
4
16
0
16
0
0
16
6
0
0
0
0
0
0
8
0
4
0
16
8
8
24
8
8
0
8
8
8
4
16
4
0
21
0
0
23
23
16
8
8
0
0
8
0
16
16
16
0
0
0
8
32
8
32
0
0
0
0
16
16
16
0
1
1
1
0
8
8
8
16
6
16
0
0
0
1
1
0
8
1
24
0
16
0
0
0
0
0
8
0
0
8
8
29
16
16
0
8
0
0
24
0
0
0
0
0
0
0
0
0
4
0
8
8
0
0
8
8
8
0
0
0
1
1
0
0
0
0
16
0
0
0
0
0
0
8
8
8
8
8
8
0
16
0
0
0
0
2
0
0
1
0
4
4
0
0
0
0
8
3
0
0
0
0
0
0
0
0
0
0
0
0
16
1
8
8
0
0
0
0
0
0
0
0
0
2
8
0
0
8
16
16
16
16
16
16
0
8
2
34
16
16
4
0
0
12
4
8
8
0
1
0
0
0
1
1
1
0
0
0
1
4
4
0
0
8
1
1
16
0
0
22
22
0
0
4
4
4
4
4
24
16
17
17
21
9
1
16
0
16
0
8
8
0
0
24
0
0
0
0
0
8
4
4
4
0
0
0
0
0
0
16
0
0
0
32
32
32
3
0
0
4
4
4
8
0
0
16
16
0
0
12
28
8
0
0
32
5
0
8
4
0
0
0
0
0
0
0
8
2
2
8
24
0
0
49
49
0
0
25
0
0
4
0
0
8
4
4
4
0
0
0
16
4
4
6
16
0
0
0
5
5
16
16
16
0
4
8
8
8
0
0
0
8
8
8
4
40
16
0
0
0
28
24
0
0
8
8
0
8
0
0
0
16
8
8
4
4
0
0
0
2
22
0
0
0
0
0
0
16
16
16
16
16
0
8
16
16
0
0
0
0
0
0
2
0
0
0
24
16
6
6
0
0
0
12
0
0
4
4
1
8
16
8
8
4
4
0
0
0
0
8
8
0
0
0
0
16
1
1
1
0
16
4
0
24
24
3
3
0
0
0
0
0
0
0
4
0
16
16
0
8
0
0
0
1
8
0
0
0
16
4
4
0
12
8
8
8
0
0
8
8
8
0
12
0
0
9
0
10
4
32
32
0
16
16
0
4
4
4
4
4
0
0
0
2
2
2
2
16
16
16
0
12
12
8
9
9
0
4
0
16
16
16
20
8
0
0
0
16
16
0
0
0
8
0
0
0
0
0
0
0
2
2
0
16
8
25
0
0
16
0
0
0
0
16
0
8
24
0
1
0
16
16
0
0
8
8
8
8
0
0
1
32
0
2
0
0
24
16
16
18
0
0
0
0
0
4
0
0
8
8
0
0
8
0
6
6
0
16
16
16
0
8
16
0
8
0
0
0
0
0
8
0
0
0
0
0
8
3
8
0
0
1
0
6
0
16
0
0
8
0
16
0
0
0
0
8
8
8
8
8
8
0
8
8
8
0
0
0
17
0
0
0
9
9
0
0
24
1
1
1
0
58
58
32
16
16
16
16
16
4
8
24
24
16
1
1
0
0
8
8
8
8
0
0
0
8
8
8
8
0
8
0
0
0
16
16
16
0
24
24
0
0
8
0
48
8
0
0
0
0
8
8
8
8
8
40
0
0
4
0
0
0
8
8
0
8
0
0
0
16
24
0
0
8
8
8
8
0
0
16
0
0
0
16
16
2
0
0
16
0
13
5
0
0
22
16
0
4
8
16
24
0
0
0
0
0
0
0
0
0
29
0
0
1
0
16
16
0
0
8
8
8
0
0
8
10
8
8
8
16
0
0
0
0
0
8
0
16
16
0
0
0
8
0
0
0
8
10
10
10
16
16
0
8
16
8
0
0
0
32
8
16
0
0
0
24
0
16
16
0
8
8
8
16
16
8
16
0
8
18
2
2
8
0
0
16
0
0
0
1
10
10
10
0
0
5
5
5
0
0
8
8
8
8
8
8
0
0
20
0
0
0
0
0
2
2
0
0
0
0
0
0
0
0
0
0
0
8
1
16
0
0
0
0
18
18
0
0
0
16
18
18
16
0
0
0
0
6
0
0
4
0
8
1
1
1
1
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
17
4
4
8
8
0
0
0
0
0
0
0
0
8
8
0
24
0
0
0
1
1
1
16
16
0
0
20
4
0
8
24
0
8
8
0
4
4
0
0
0
0
8
16
8
4
0
0
4
4
4
8
8
8
8
16
16
16
16
16
8
8
1
8
8
8
16
16
0
0
0
16
16
24
16
16
16
0
8
8
8
8
0
0
0
0
0
1
19
1
1
0
0
0
0
16
4
0
0
0
0
8
8
4
8
8
49
0
0
32
0
16
16
0
0
0
24
4
0
0
0
16
16
4
4
50
16
16
4
0
0
17
8
8
8
8
9
8
0
0
4
0
0
8
0
1
0
1
1
17
17
16
8
8
16
0
0
8
0
0
0
8
0
9
0
0
0
0
8
8
16
16
0
0
0
0
0
8
8
0
0
0
32
8
8
8
0
0
8
8
8
8
8
16
16
0
16
2
2
2
8
30
30
0
0
16
16
4
0
1
8
8
2
24
8
0
0
0
8
0
0
8
0
2
0
0
4
4
0
0
16
0
8
0
0
0
0
0
40
9
8
8
8
0
0
0
0
0
8
8
8
0
0
0
0
0
16
4
2
2
0
0
0
0
0
32
0
8
0
8
8
0
16
0
0
0
0
8
1
1
2
2
2
4
0
0
8
16
32
32
32
4
0
0
8
0
24
8
8
16
16
1
16
4
0
0
0
0
0
24
8
8
8
8
8
8
0
0
2
2
2
1
8
8
9
16
8
0
0
1
16
16
0
0
24
0
16
16
12
8
8
8
8
8
8
0
0
8
0
0
0
16
0
0
0
8
0
0
8
0
0
8
0
0
8
8
8
8
0
0
0
4
0
0
4
0
40
8
8
0
0
4
8
0
0
16
0
0
6
32
32
0
0
0
8
8
10
0
0
0
1
0
4
0
0
24
0
11
24
24
8
0
0
8
8
8
0
0
8
8
8
4
4
1
8
20
20
20
0
2
0
0
0
1
17
16
17
0
0
0
8
8
8
8
8
0
34
0
0
0
1
0
0
0
0
16
8
0
0
0
0
19
19
19
19
19
2
0
0
0
20
16
0
8
8
8
8
8
8
0
0
0
0
0
8
16
8
0
0
16
24
16
0
8
8
8
0
16
8
8
0
8
8
0
8
6
6
1
1
1
0
0
0
0
0
0
0
0
0
0
2
0
0
0
1
1
1
8
8
0
16
0
0
0
0
8
0
2
4
0
8
1
1
1
0
0
8
0
0
0
0
0
0
0
16
16
16
0
8
8
8
0
0
0
16
16
16
0
0
16
16
16
6
2
2
0
16
16
16
0
0
0
0
0
8
16
4
0
0
0
8
8
0
8
8
8
8
0
0
24
24
0
4
1
1
1
0
0
8
0
0
16
2
2
0
0
8
8
8
8
0
0
0
0
0
8
8
0
0
0
8
8
16
16
16
2
0
0
0
0
0
0
0
0
0
0
0
16
0
8
8
8
10
16
16
8
8
0
24
24
0
0
4
4
2
8
8
8
8
4
0
8
0
0
0
0
8
0
1
16
0
0
0
0
0
0
0
1
1
16
12
12
2
2
2
0
0
0
0
0
0
0
0
0
8
0
16
16
16
8
4
0
0
0
16
8
4
4
0
0
0
0
0
4
4
0
16
0
0
8
8
1
0
0
0
0
0
4
0
0
0
16
16
8
10
8
0
16
1
8
8
0
0
0
0
2
0
16
8
6
19
4
16
0
8
8
8
8
24
8
8
8
8
8
0
8
4
4
0
0
0
0
2
8
0
0
8
16
0
8
0
0
8
0
0
1
8
8
16
8
8
8
8
0
0
8
0
8
8
0
16
0
0
8
0
0
0
0
0
13
9
0
0
0
0
0
8
0
0
8
8
0
0
0
21
0
0
0
2
2
2
0
0
0
8
8
0
8
8
0
0
8
0
8
8
0
0
0
0
0
0
16
1
1
0
4
4
8
16
16
16
16
0
16
2
32
0
0
16
8
0
10
8
4
0
0
8
16
16
16
8
8
8
8
8
8
8
8
8
8
60
1
1
16
16
16
16
8
8
0
0
0
0
0
8
0
0
0
0
8
0
24
0
8
0
4
4
0
0
0
0
0
0
5
0
0
0
0
16
16
0
0
0
0
0
4
0
0
0
8
16
0
0
8
24
24
0
16
16
16
0
0
24
24
0
0
1
2
2
0
0
0
0
16
16
8
8
0
16
0
4
4
4
1
0
0
16
8
0
0
8
8
8
8
8
0
0
0
0
16
0
0
9
8
8
0
1
0
4
4
0
4
4
4
0
4
0
10
0
0
0
16
0
0
27
16
0
8
32
0
0
2
0
1
8
16
16
16
0
8
8
8
8
18
0
0
8
8
8
12
0
0
0
0
20
8
9
9
8
0
4
4
12
0
8
8
16
0
0
0
0
0
0
0
0
8
2
2
0
0
0
0
24
24
24
0
8
0
16
8
0
0
0
4
4
4
4
4
20
16
16
16
16
0
0
2
16
16
8
8
0
1
0
0
4
4
0
0
20
20
0
8
8
8
42
0
0
16
0
0
0
8
8
8
0
0
4
6
6
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
4
0
16
1
8
0
0
0
0
8
0
8
2
16
2
8
0
0
0
8
8
8
8
4
0
0
0
0
0
4
1
16
0
0
0
32
32
0
0
8
8
0
0
0
8
8
8
0
0
1
16
8
8
2
0
8
0
0
0
0
0
0
2
0
8
0
16
0
0
0
0
0
16
16
0
0
2
8
8
8
0
4
4
0
0
4
0
0
0
1
0
1
0
0
0
0
0
0
16
2
8
8
12
0
0
0
0
8
13
8
8
32
32
32
32
32
8
0
17
1
0
8
4
0
4
0
8
0
8
8
8
0
16
8
25
17
0
16
16
0
0
0
4
0
0
0
24
8
8
8
1
0
16
16
8
0
8
8
4
0
0
16
8
0
8
8
0
8
1
18
0
1
1
16
16
16
16
16
16
0
0
0
8
3
0
4
2
0
0
0
16
0
0
16
4
0
32
16
4
24
24
0
0
0
0
0
0
4
0
0
8
0
5
5
2
0
0
0
0
0
3
3
3
3
8
24
0
0
0
8
8
0
8
8
8
4
16
0
0
16
17
0
0
0
0
0
8
26
0
0
16
0
0
0
8
0
8
0
0
0
0
0
33
16
0
0
0
2
0
0
1
0
8
2
2
0
8
0
8
4
2
4
4
4
16
0
24
0
0
0
0
8
16
0
4
16
0
0
1
0
32
0
0
0
8
16
8
0
0
10
12
0
4
8
8
8
0
0
0
0
8
0
12
0
0
16
8
4
4
0
0
8
8
0
9
8
8
0
0
0
0
0
0
16
16
16
16
0
0
0
0
0
0
0
8
8
0
0
8
0
4
8
0
0
16
16
16
16
16
8
1
0
16
0
0
0
0
0
0
0
8
8
8
0
0
4
8
8
8
8
8
8
0
0
8
8
12
12
0
0
0
8
0
0
8
8
0
8
0
0
0
0
8
16
8
0
0
0
0
16
12
8
0
0
0
0
0
8
0
8
8
8
8
0
0
0
16
8
8
4
0
0
2
2
22
0
0
0
0
0
16
16
0
16
0
4
4
4
4
4
4
24
16
16
10
28
3
3
32
32
32
32
0
0
0
0
0
1
0
0
5
16
0
8
8
16
16
0
0
0
0
0
0
0
0
0
0
0
0
1
1
8
8
16
8
8
18
18
8
0
0
0
0
0
0
0
0
0
2
4
4
0
12
0
1
1
8
0
8
8
8
0
16
2
2
0
0
0
1
16
0
0
8
0
0
16
16
16
8
16
0
0
8
4
4
4
16
49
1
0
0
0
8
8
0
0
2
16
16
0
8
0
0
8
8
0
0
0
0
8
8
8
16
4
0
2
2
16
16
0
8
8
0
0
8
0
0
0
8
4
0
0
0
0
0
0
8
0
1
0
16
28
0
0
0
4
17
2
0
0
4
8
0
0
0
26
26
0
8
28
0
0
28
28
0
0
4
16
16
28
28
8
8
8
8
8
8
0
8
8
0
0
8
24
24
8
8
8
0
0
0
0
0
2
0
0
16
16
8
8
0
1
0
0
0
0
8
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
24
8
0
4
28
4
0
0
0
0
28
32
0
0
2
0
0
0
8
8
8
16
0
0
0
0
16
16
0
16
16
1
1
0
0
24
8
8
8
8
0
4
8
0
0
0
0
0
0
0
1
0
8
8
16
20
0
0
12
12
8
0
0
0
0
16
0
0
0
0
0
4
8
32
16
0
0
0
17
0
0
16
0
0
2
2
1
2
0
63
61
61
2
0
0
0
32
32
32
0
4
4
0
2
6
16
16
0
16
0
8
8
0
0
0
0
8
8
8
0
0
0
0
0
24
24
24
0
0
0
1
8
8
8
8
8
8
8
1
1
8
8
2
2
0
8
8
16
0
1
1
0
0
0
2
0
0
0
9
17
17
0
32
8
8
2
2
2
10
0
0
0
24
24
24
24
6
0
0
2
2
18
0
0
0
0
0
4
0
0
0
8
0
0
0
0
16
2
2
8
0
0
0
32
40
40
0
4
4
0
0
8
0
4
0
0
0
8
8
8
0
0
24
8
8
8
8
0
16
16
24
4
4
8
0
0
2
9
8
8
0
0
0
0
12
0
0
0
0
0
0
1
0
1
20
20
8
8
8
0
0
0
0
0
0
2
4
4
1
1
4
4
21
1
0
0
8
0
0
0
0
0
8
0
12
12
12
12
16
16
16
16
4
16
8
16
0
0
0
0
8
12
2
0
16
0
0
16
0
16
0
6
0
0
2
0
0
0
16
0
0
0
8
8
8
16
16
16
16
16
8
0
0
1
0
0
4
0
0
8
0
0
16
1
8
12
8
8
0
16
0
0
0
0
1
0
0
1
1
8
8
8
0
0
0
0
8
8
4
24
24
36
8
16
16
8
16
0
8
0
0
0
0
0
20
4
24
8
8
8
0
0
0
0
1
1
1
16
16
8
0
0
0
0
8
0
0
0
0
0
0
16
8
16
8
8
18
0
0
0
32
3
0
8
0
2
2
2
0
8
0
0
24
8
4
4
0
0
0
0
16
0
0
8
8
8
0
0
20
8
0
0
1
5
5
8
0
8
8
2
0
28
8
2
2
0
17
17
16
4
16
16
16
16
2
8
0
0
0
16
0
16
16
8
16
8
8
24
22
1
1
0
8
0
0
0
0
8
9
0
0
0
2
8
0
8
8
0
0
24
8
1
0
0
8
8
0
0
0
0
0
8
8
8
0
0
8
8
8
0
0
0
8
16
0
0
32
10
10
10
10
0
12
8
33
8
33
0
18
0
10
8
0
0
0
0
48
48
8
8
8
0
8
12
0
0
8
4
0
8
0
0
0
0
0
39
0
16
8
8
8
6
0
0
8
16
0
0
0
16
0
20
0
0
8
8
8
0
32
0
0
0
0
16
0
0
0
8
8
0
0
0
0
4
0
0
0
0
0
0
0
26
2
18
4
0
0
0
8
8
16
16
0
0
8
8
8
0
56
0
8
8
8
0
0
22
22
8
10
10
8
8
4
0
0
0
0
0
0
0
8
8
8
16
0
0
16
0
0
0
0
0
1
8
0
0
0
16
16
0
0
0
0
16
16
16
2
8
8
0
0
4
2
0
0
0
0
8
8
0
0
0
1
1
12
12
0
0
2
0
1
8
8
1
0
0
24
24
28
2
2
0
0
16
16
16
0
0
0
0
0
16
0
2
4
8
0
0
60
12
8
0
0
0
0
0
8
8
0
1
41
8
8
0
0
0
0
0
8
0
0
16
0
0
0
0
0
0
8
0
0
8
8
8
0
14
14
14
14
14
0
2
0
0
8
8
0
18
18
18
8
0
0
0
0
10
10
8
1
12
8
0
8
8
8
0
8
0
28
0
0
16
0
0
0
0
0
0
0
0
0
0
16
16
7
7
0
1
0
40
8
0
0
4
4
8
4
0
4
4
4
0
0
2
0
2
16
16
0
8
8
24
8
8
8
0
0
8
8
8
8
0
1
1
16
0
8
0
0
20
8
8
8
6
6
4
4
0
0
0
0
0
0
0
0
0
8
16
0
0
8
0
0
8
8
8
8
0
19
0
8
8
8
8
8
0
8
8
18
18
16
4
0
0
8
8
8
8
2
4
0
0
0
0
0
2
2
2
2
8
0
0
8
16
8
8
0
0
0
0
0
8
1
0
8
8
8
4
2
0
0
8
16
8
8
9
20
8
24
24
8
0
16
2
16
16
8
0
4
8
8
8
1
8
0
0
0
0
0
16
0
0
0
8
0
0
0
0
16
4
4
8
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
4
0
0
0
8
0
8
8
24
4
4
0
0
1
0
8
8
0
8
8
0
4
4
4
4
0
16
16
33
16
2
0
30
2
16
0
0
8
0
0
0
8
0
18
1
1
16
16
16
0
0
4
16
24
24
0
0
16
16
0
8
8
8
0
24
0
0
0
0
8
2
0
0
4
0
0
0
0
0
0
8
8
8
16
0
16
16
16
16
0
0
0
0
0
0
0
0
16
16
16
8
16
0
8
8
8
5
5
5
16
0
8
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
8
8
2
16
8
0
0
0
10
0
2
4
0
16
8
0
0
8
4
10
10
10
10
0
0
0
0
0
0
0
0
0
16
12
16
0
0
0
0
0
8
8
8
0
0
2
2
2
0
0
0
2
16
0
0
4
4
4
0
0
0
0
0
32
24
8
0
0
0
0
0
8
0
0
0
0
4
4
0
0
0
0
0
7
2
8
0
25
4
0
0
0
8
8
8
4
0
0
0
8
0
4
0
8
12
8
8
8
0
32
0
8
0
16
24
24
4
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
20
20
0
0
16
0
8
8
24
0
18
18
0
0
0
0
1
16
16
16
0
24
20
20
16
0
24
0
0
25
0
12
12
12
8
2
2
2
2
2
2
0
16
0
8
0
0
0
0
16
0
8
8
8
41
0
8
8
16
16
0
0
0
8
0
0
0
0
0
0
0
4
8
8
0
0
16
0
8
2
40
2
4
0
0
4
8
8
8
8
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
2
0
4
8
1
0
0
0
16
8
8
1
1
0
0
8
0
0
32
0
0
0
8
8
8
0
0
4
1
1
0
0
16
16
16
0
0
1
3
16
0
24
8
8
8
8
22
4
0
4
0
0
2
2
2
2
8
0
0
0
8
0
0
0
8
0
0
0
0
0
8
8
0
2
8
0
16
16
8
0
0
0
0
0
0
0
2
8
8
0
0
16
0
0
0
16
12
0
8
0
8
0
0
24
24
0
0
0
0
8
8
1
0
0
0
0
0
0
0
0
16
16
0
0
8
8
8
8
4
0
8
0
20
20
0
0
2
16
33
33
33
0
8
8
0
8
8
0
8
12
24
24
24
0
1
0
16
0
8
8
0
4
16
16
16
4
8
8
8
8
8
0
0
30
8
0
0
0
0
8
8
16
4
0
0
16
0
0
0
0
0
8
8
8
0
0
0
6
0
0
0
8
0
40
0
8
8
0
0
18
0
8
8
16
16
8
8
8
1
8
0
1
4
5
0
1
8
8
8
0
0
8
0
16
12
4
4
8
8
8
8
8
8
8
0
0
16
0
16
16
16
1
1
0
0
0
8
30
2
8
8
8
16
0
16
0
0
0
16
8
8
0
0
0
0
0
16
24
4
0
0
0
4
16
0
0
0
16
0
0
0
0
0
16
8
0
8
20
20
8
8
0
16
16
16
16
16
16
4
0
8
8
16
3
3
8
0
1
1
1
1
0
32
8
0
0
16
16
0
0
0
29
29
29
29
16
0
0
0
1
0
0
0
0
16
0
0
0
0
8
8
8
0
8
8
8
8
8
8
16
16
16
0
4
4
4
0
25
0
8
3
8
5
0
4
0
0
8
8
8
8
1
0
8
0
8
8
8
0
0
8
0
0
0
0
0
0
0
0
0
0
0
4
0
0
8
8
16
0
0
8
8
12
0
16
0
8
8
8
0
0
0
0
8
8
0
8
8
8
8
16
12
8
8
0
8
8
8
16
0
0
8
0
16
0
12
20
20
20
20
0
0
8
0
8
8
0
0
2
2
2
34
0
0
0
8
8
0
0
8
8
24
8
4
0
0
8
8
0
0
0
0
0
0
4
4
0
0
8
0
0
16
16
0
0
0
16
16
16
16
1
24
0
0
0
9
8
0
24
24
4
0
4
4
0
56
56
16
16
0
48
0
1
0
8
0
0
0
0
0
16
16
16
8
0
8
8
8
8
8
0
16
0
0
0
8
25
25
1
16
16
0
0
0
8
8
8
8
0
0
0
0
16
16
8
0
0
0
0
1
16
8
0
4
24
24
24
0
0
8
8
8
0
4
0
2
3
0
48
0
8
0
16
0
48
16
0
0
0
0
0
8
8
8
8
8
8
0
0
8
8
0
0
8
8
48
16
16
8
0
0
0
0
0
0
28
28
0
16
0
0
0
8
0
8
8
0
0
0
0
0
20
16
0
8
0
0
16
8
0
8
24
8
16
16
22
0
0
0
0
0
8
0
0
2
2
8
8
0
0
0
8
0
8
0
0
0
0
8
8
8
8
8
8
8
0
0
8
8
8
8
8
16
0
8
8
8
8
0
0
0
8
13
0
16
16
16
16
16
0
0
0
8
8
4
8
0
0
0
20
8
2
2
16
0
8
0
0
0
0
8
0
0
0
0
0
10
10
0
1
1
4
0
0
0
0
8
16
16
16
18
8
16
8
8
8
0
8
0
0
8
16
1
8
0
8
8
0
0
2
0
16
16
0
0
25
0
0
0
16
8
8
8
0
8
0
8
16
16
32
32
0
16
2
25
0
0
0
16
8
0
0
0
8
8
8
1
3
0
8
8
0
18
8
8
32
0
0
0
0
0
8
4
4
0
16
0
0
2
2
2
8
8
0
0
8
0
8
0
8
0
0
0
0
0
0
4
4
8
16
24
8
8
16
16
4
8
0
0
0
0
8
8
0
0
8
0
0
16
0
0
8
8
8
16
8
0
0
0
0
0
1
0
0
20
20
20
16
1
1
1
1
0
16
0
24
24
8
8
0
0
0
0
0
0
0
8
8
0
0
0
8
8
0
0
16
16
8
8
0
0
0
0
0
0
0
0
0
1
8
0
0
0
0
0
0
0
6
6
6
8
8
8
24
0
0
8
0
16
8
16
24
24
24
14
0
0
16
16
12
0
0
0
8
8
4
4
4
0
24
16
0
0
0
0
8
0
0
0
0
16
0
16
8
0
4
8
16
16
2
2
16
0
0
0
1
0
0
4
4
4
8
8
0
0
8
0
8
8
24
24
0
0
0
0
17
17
0
0
0
16
16
16
0
0
0
8
8
0
0
0
0
0
0
0
32
32
0
18
0
8
0
8
8
0
0
16
0
0
8
8
1
0
0
0
0
4
0
1
8
8
0
10
10
2
0
0
16
8
8
0
0
38
0
0
0
16
0
16
8
0
0
24
0
0
0
8
8
0
0
0
8
0
0
0
0
1
1
1
1
0
16
0
0
0
0
0
8
8
1
0
0
0
1
0
0
8
8
8
8
8
8
8
0
0
0
8
8
8
8
8
4
8
0
0
0
4
4
4
4
0
0
0
0
0
0
16
16
8
3
8
24
24
24
24
16
8
0
0
0
4
16
16
0
0
16
24
24
0
0
0
0
0
16
0
0
0
0
0
59
8
0
0
8
16
0
8
0
32
32
32
32
16
24
0
4
4
0
0
0
0
0
0
0
8
4
0
0
0
0
8
8
8
8
4
8
0
0
0
25
0
0
0
0
0
0
0
16
16
0
3
2
16
32
0
0
0
0
8
0
0
0
1
8
0
0
0
16
0
0
0
0
0
8
8
8
0
16
16
0
0
8
8
8
8
0
0
1
1
2
8
8
8
0
8
0
0
8
0
0
24
24
0
8
8
8
8
8
8
9
0
8
0
1
0
0
4
10
0
0
0
0
16
0
0
0
1
8
24
24
24
0
0
0
8
16
16
4
0
0
0
17
0
0
0
0
0
0
0
16
8
8
0
16
16
8
8
8
0
0
0
0
0
4
4
4
16
16
20
10
0
8
8
0
0
8
8
33
8
8
8
0
16
16
16
16
8
8
0
1
8
0
1
1
8
8
8
0
10
0
8
0
0
18
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
2
8
0
0
0
0
0
0
8
8
0
8
0
0
0
0
0
0
1
1
20
8
8
0
0
4
4
8
0
0
0
0
16
0
0
0
0
0
4
4
0
8
8
0
16
0
0
0
0
0
0
0
8
1
8
0
8
8
0
0
8
8
16
0
24
8
8
1
8
8
0
32
0
16
0
0
0
0
0
0
8
16
8
0
2
2
0
10
8
8
0
0
0
0
16
8
2
0
0
0
8
16
16
16
0
0
0
0
0
0
0
3
0
0
0
0
8
8
8
16
17
1
1
1
0
8
0
0
8
8
0
60
60
12
8
0
0
0
0
0
33
32
4
4
4
0
16
16
4
0
4
8
0
0
1
1
1
1
1
18
18
18
18
0
0
26
16
0
0
4
0
0
17
0
0
0
0
8
8
8
1
1
0
0
0
0
2
8
26
26
0
0
8
4
4
0
0
0
0
0
16
16
2
0
0
0
16
16
16
0
0
8
8
8
8
0
0
0
8
43
43
1
1
0
0
4
4
8
2
2
16
16
16
16
16
16
4
4
4
16
0
1
0
25
4
8
0
0
0
24
0
0
8
8
0
63
16
16
16
4
4
24
46
0
0
0
0
0
0
2
0
0
0
0
8
0
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
4
4
20
16
16
16
0
8
16
16
16
16
16
0
1
0
8
8
0
4
4
4
0
0
0
0
0
0
4
9
0
0
3
24
24
24
0
0
16
0
0
8
0
0
1
0
8
8
0
8
8
8
8
8
0
0
0
0
0
0
0
0
0
16
0
8
8
0
0
0
0
1
24
24
0
0
0
0
8
8
0
0
4
4
0
0
2
8
0
0
0
0
0
8
0
0
16
0
0
0
2
8
18
0
4
4
0
0
4
16
16
4
0
0
2
2
4
4
8
0
1
0
44
44
16
16
16
32
32
0
32
4
0
0
8
8
2
0
0
8
0
16
8
8
8
8
8
0
0
8
0
16
0
0
0
0
4
4
4
6
0
20
0
0
0
8
8
8
8
16
16
16
16
16
16
0
16
18
8
0
12
0
0
0
2
0
16
16
0
0
16
17
16
0
8
8
0
0
8
8
16
16
0
0
0
0
0
0
0
0
0
0
4
4
8
2
0
8
0
0
0
0
0
0
0
0
16
16
16
0
18
2
2
2
0
0
16
16
0
0
0
0
16
0
8
8
8
8
0
0
2
2
0
23
5
5
0
0
8
0
1
0
0
8
0
8
16
0
0
8
8
9
8
8
8
8
8
0
0
0
0
0
20
0
0
0
1
1
40
0
0
0
8
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
29
29
0
0
0
8
8
1
0
0
16
16
16
0
0
0
56
16
16
0
0
0
0
0
0
0
0
0
0
16
0
0
16
16
16
8
0
0
0
16
13
8
4
4
4
4
0
4
0
2
4
0
48
0
8
8
0
0
0
0
0
0
0
0
8
0
0
0
0
20
9
0
0
1
1
1
8
8
0
0
16
0
0
16
0
2
2
0
0
0
0
2
4
0
8
8
0
0
0
16
0
1
1
0
0
0
8
24
1
0
0
0
22
22
22
0
2
0
0
16
16
16
16
16
16
5
2
0
0
8
8
8
8
0
0
8
8
8
0
0
0
0
0
0
0
16
8
0
0
0
0
16
16
8
8
32
0
0
0
0
0
0
0
1
0
0
8
16
10
10
0
16
16
16
16
16
16
16
16
18
8
8
16
6
6
16
8
8
8
0
0
0
0
0
0
16
16
16
1
0
16
0
0
16
16
16
8
0
0
0
8
8
8
8
8
0
16
1
0
1
0
0
8
8
0
0
8
8
8
0
16
0
0
8
0
0
8
0
0
0
16
0
0
0
0
0
12
29
0
0
2
0
0
0
0
0
40
40
0
0
0
8
0
0
0
0
1
0
8
0
0
17
1
1
0
0
8
8
8
0
24
0
0
16
17
0
0
0
0
0
28
8
8
16
0
8
0
8
8
0
1
16
0
8
1
0
8
16
16
16
8
0
0
16
16
16
16
0
8
8
8
8
0
0
16
16
16
2
2
16
0
0
0
0
0
2
2
0
0
16
0
1
0
8
0
16
8
0
0
0
0
0
0
8
1
4
0
0
0
0
0
0
0
0
8
8
8
16
0
0
4
4
0
0
2
4
0
0
0
8
0
0
0
0
0
2
2
8
0
0
0
8
8
4
12
0
32
32
0
0
16
0
0
4
16
0
14
8
16
0
8
0
1
1
0
0
6
6
0
0
8
8
0
0
0
0
0
0
0
0
20
8
8
8
0
0
0
1
1
0
0
0
0
0
0
0
0
2
2
0
0
0
0
0
8
8
0
8
0
10
4
8
2
0
0
24
0
16
16
16
7
7
0
4
0
0
0
8
0
0
20
0
0
4
1
1
0
8
2
23
23
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
4
12
0
0
16
16
0
2
8
8
0
8
0
16
16
8
0
8
8
0
0
0
12
16
16
1
1
1
4
4
0
4
0
0
4
0
0
2
2
2
0
49
49
16
8
9
12
0
0
0
0
16
0
55
0
0
0
0
16
0
0
8
0
20
8
8
8
0
2
2
0
0
0
0
0
0
0
0
8
16
8
8
8
0
8
0
0
0
8
0
0
0
0
1
0
0
18
16
0
16
0
8
8
0
8
8
0
8
8
0
0
0
0
0
0
0
8
8
2
2
0
1
8
8
8
0
4
0
8
0
0
1
8
0
0
0
8
0
16
0
0
8
8
0
12
8
0
32
32
32
32
32
32
17
17
17
17
0
0
0
0
8
8
0
0
0
0
0
0
4
4
4
8
8
8
0
1
1
0
0
0
16
8
0
0
0
8
8
8
8
26
8
49
6
16
16
8
8
0
0
8
8
16
16
0
16
0
0
8
8
0
0
8
0
0
8
2
8
8
0
8
0
0
8
0
16
8
16
0
0
0
0
0
0
0
0
4
8
0
0
0
0
0
0
0
0
0
0
8
8
0
8
0
0
4
28
0
8
4
8
0
0
16
0
0
0
0
8
0
16
0
4
16
8
4
4
8
0
0
8
8
8
0
0
0
0
16
0
2
2
0
22
0
0
0
0
0
0
0
0
0
0
8
8
8
8
0
2
2
0
0
0
0
0
20
0
0
0
8
8
32
0
0
0
0
0
0
5
0
16
16
8
0
4
0
0
8
0
0
0
0
16
0
18
8
0
0
0
0
20
0
0
20
20
0
0
3
0
8
32
4
4
4
8
0
16
0
2
18
18
0
16
16
16
0
8
0
0
8
0
0
0
0
0
0
0
0
8
8
0
16
16
16
16
16
0
0
8
8
4
4
0
0
0
0
2
0
0
8
4
16
8
4
4
1
1
1
0
2
0
0
24
24
24
1
1
1
0
1
0
16
9
9
9
9
9
9
0
0
0
8
0
8
8
0
32
8
0
8
16
4
4
0
0
0
0
16
16
0
0
18
0
8
8
8
0
0
0
0
8
18
0
16
8
0
12
0
8
8
4
16
8
6
0
8
16
8
0
0
0
8
8
8
2
0
0
8
8
4
8
8
0
0
0
4
0
8
2
8
8
0
0
0
2
8
3
0
1
0
0
0
2
2
2
16
8
16
0
0
0
0
0
8
1
8
0
8
8
32
0
0
0
0
0
0
8
1
0
0
0
0
0
0
0
0
20
0
0
8
0
25
44
8
8
8
0
0
8
4
0
16
16
20
18
0
24
8
8
8
1
16
8
0
4
4
4
4
8
0
0
0
0
0
16
0
14
0
13
24
24
24
0
0
0
0
16
0
0
0
0
0
8
0
0
0
8
4
4
4
4
0
0
0
0
0
0
0
12
12
32
16
0
1
1
24
0
8
8
8
5
5
0
53
0
0
0
1
0
8
0
0
8
8
0
0
0
0
0
16
4
0
1
16
12
24
8
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
18
1
1
1
0
16
16
0
0
8
0
0
0
8
8
0
0
0
0
4
0
0
0
0
17
8
16
8
0
16
20
0
0
0
0
0
0
0
0
0
4
0
0
0
24
0
0
0
32
0
0
0
16
8
0
0
4
0
0
1
1
8
8
8
2
2
0
24
0
0
8
0
0
0
0
0
1
1
1
1
24
2
2
2
0
12
16
16
8
6
0
16
16
0
0
0
8
8
20
16
0
8
4
4
2
0
0
8
4
4
0
0
0
8
16
0
0
0
0
0
8
1
0
8
8
0
0
0
8
32
16
0
0
0
0
0
16
0
0
2
0
16
16
0
0
0
0
2
8
16
8
8
0
1
0
0
0
0
8
4
4
0
0
12
8
0
0
0
0
0
4
0
0
0
6
0
0
0
16
8
0
0
0
0
8
16
16
4
0
0
16
3
0
8
16
8
0
3
0
0
0
8
8
16
16
0
8
9
9
8
8
8
8
8
16
0
0
0
0
24
0
0
0
0
0
1
16
0
0
8
0
0
2
2
24
0
0
8
4
1
40
0
16
16
8
0
0
8
8
0
4
4
0
24
16
0
0
20
16
0
0
24
0
0
0
0
0
0
0
16
0
8
0
0
58
58
1
1
0
8
8
1
0
8
0
0
0
0
0
4
16
16
0
8
0
8
8
0
0
0
0
8
0
0
0
0
0
0
0
0
0
8
0
0
0
0
8
8
4
0
0
0
0
56
8
8
16
8
0
8
8
8
8
0
0
0
0
16
16
16
16
16
0
16
16
0
0
4
8
16
16
16
16
0
8
8
8
4
0
0
0
0
0
4
0
0
0
0
0
0
1
1
1
0
4
0
16
16
16
20
20
4
4
0
32
8
4
0
8
0
0
0
0
18
0
0
0
24
16
0
16
16
9
8
8
0
8
16
20
20
8
8
8
24
0
0
0
0
0
16
32
32
0
8
8
0
20
8
8
17
1
16
0
0
4
4
9
8
8
25
1
1
0
8
1
8
0
0
8
1
1
16
16
16
16
2
8
8
32
32
12
1
1
16
1
1
1
16
16
9
12
12
1
1
1
2
8
0
2
0
16
8
0
0
0
8
8
8
8
0
4
4
4
4
1
1
4
8
0
16
1
36
26
8
18
18
16
8
8
8
0
16
16
8
1
16
1
1
1
16
1
1
1
1
1
1
24
8
16
8
8
8
8
8
8
8
24
8
8
32
32
61
8
8
8
16
16
0
0
8
0
8
8
8
8
8
8
8
8
8
8
0
0
8
8
8
8
8
8
0
8
8
8
8
8
8
8
0
0
8
0
16
8
8
8
8
13
0
0
10
16
16
4
4
4
8
8
0
1
1
1
0
16
16
16
4
1
1
8
8
8
0
0
8
8
8
2
4
16
16
16
16
16
4
8
0
0
0
17
16
0
0
8
8
8
8
8
8
0
0
0
0
0
0
8
8
16
16
16
16
0
0
0
8
4
8
0
8
0
20
0
8
8
8
8
8
16
8
0
32
40
40
0
8
4
4
0
1
1
0
0
0
0
0
0
0
16
0
0
25
9
16
16
0
0
0
0
0
0
10
27
27
27
27
16
16
16
8
2
2
2
2
0
0
8
8
0
8
8
0
0
0
0
18
1
16
16
16
8
8
0
8
8
8
8
8
5
5
8
8
8
16
8
8
8
8
0
0
8
0
0
8
8
8
8
24
0
16
36
36
36
0
0
0
8
8
8
8
8
8
16
0
0
4
4
0
0
16
16
16
0
8
8
8
8
8
8
17
16
16
16
1
15
15
1
1
0
8
2
2
8
8
8
0
8
24
24
24
8
8
8
8
48
8
2
0
2
8
8
36
36
36
1
8
8
8
16
16
16
16
0
0
0
8
8
0
0
12
12
8
8
0
0
0
0
25
25
16
16
8
0
0
0
8
8
8
8
0
16
16
16
0
24
24
2
2
2
16
9
8
8
0
4
4
16
16
16
16
16
16
16
16
8
0
8
8
0
0
0
16
1
0
0
0
0
16
2
2
2
16
16
32
16
0
8
0
32
8
8
8
8
0
8
0
0
34
34
34
34
8
8
0
28
28
28
2
2
2
0
0
0
0
0
1
0
32
0
8
0
0
0
0
16
0
0
0
8
0
8
8
8
8
1
0
8
32
6
8
8
8
56
56
56
8
8
8
8
0
0
8
8
8
8
8
8
1
8
8
8
8
0
0
4
4
4
16
0
2
8
4
4
4
4
16
4
8
0
0
0
0
0
0
0
16
16
16
16
8
8
2
8
8
4
4
1
0
8
8
8
0
4
4
0
8
8
8
32
32
32
16
16
16
16
16
16
8
8
0
5
5
16
8
8
32
0
0
0
0
9
9
16
16
16
16
0
8
16
16
16
16
16
16
16
8
8
0
8
8
0
1
1
23
23
0
16
16
16
8
8
8
8
8
0
0
0
0
0
0
0
0
52
52
4
16
0
0
8
29
0
0
16
8
20
16
0
0
0
0
0
0
0
0
0
2
2
2
16
0
8
0
21
8
0
0
0
16
2
0
2
4
16
16
0
0
0
8
0
8
8
8
8
8
1
1
2
8
8
16
8
0
4
17
8
1
8
4
16
16
16
0
8
8
8
2
2
0
8
4
4
24
8
2
2
2
0
0
0
0
0
24
24
1
0
24
16
16
16
16
33
8
0
1
1
0
0
1
16
16
16
16
16
16
16
16
16
16
4
4
4
4
0
0
16
16
16
16
8
8
20
20
0
0
8
18
18
16
0
25
25
8
24
16
16
16
8
8
8
8
8
16
8
8
8
8
0
8
8
16
0
0
8
8
8
0
0
0
8
8
17
8
24
0
0
16
16
16
16
16
16
48
48
48
48
48
48
0
0
0
10
16
16
16
16
16
2
16
4
5
4
4
4
4
4
4
4
40
40
40
2
2
2
0
4
4
4
4
4
8
8
8
12
12
12
16
16
2
2
2
2
8
8
8
0
8
8
1
8
8
8
8
16
0
1
1
1
16
16
8
8
9
8
0
4
8
0
1
8
1
17
0
0
16
8
8
8
8
20
20
32
32
0
8
8
16
16
0
12
0
0
0
0
4
4
32
32
32
32
32
32
0
0
0
4
10
8
0
1
16
16
16
16
16
16
0
16
24
24
16
16
16
16
16
1
1
1
8
8
16
0
0
53
16
16
16
8
0
8
8
8
8
8
2
8
13
13
13
8
8
8
8
8
8
0
0
4
0
8
8
16
0
8
8
8
8
8
8
8
8
4
8
0
0
0
0
8
8
8
8
0
32
32
32
32
32
32
32
32
32
32
32
32
32
32
32
32
32
32
32
32
8
0
0
0
0
0
16
9
18
1
8
8
16
12
8
8
16
16
16
16
24
24
8
0
8
0
8
0
0
0
40
40
0
0
0
0
0
8
0
0
0
8
8
8
8
8
8
16
16
32
32
16
16
16
16
16
1
1
8
2
0
16
16
16
16
29
8
1
16
19
16
1
0
0
8
1
1
16
16
16
8
24
0
8
8
8
8
8
8
8
16
16
8
0
0
0
4
4
4
8
0
8
1
1
16
8
8
16
8
8
0
0
0
8
8
8
0
1
8
8
0
0
1
8
8
0
16
16
8
32
2
1
8
8
8
8
8
8
8
16
4
4
4
16
16
1
16
8
9
8
8
18
18
18
18
17
17
2
2
8
0
17
17
17
25
17
17
17
17
8
17
17
17
17
17
4
16
8
8
0
8
8
0
8
8
3
3
0
8
8
16
4
8
8
0
8
8
8
0
8
8
50
8
8
8
12
0
0
0
0
8
8
8
8
8
8
16
0
1
8
0
0
0
0
0
16
16
16
4
0
1
1
0
0
0
0
0
0
16
16
8
2
2
9
16
16
4
4
0
0
8
1
0
0
8
8
8
20
16
0
0
0
16
0
16
16
16
0
0
0
1
1
8
8
0
0
0
0
0
0
0
0
1
1
1
24
8
0
0
8
8
8
8
0
10
10
10
12
8
8
8
16
16
16
16
1
1
2
0
17
16
16
16
16
8
8
8
0
52
32
20
8
24
24
8
8
0
0
1
1
8
2
0
18
18
0
0
0
0
9
9
48
48
8
8
0
16
16
16
16
16
0
0
0
0
1
1
0
0
24
16
16
8
8
8
8
8
0
8
16
16
16
0
12
8
8
8
8
0
16
18
1
8
0
0
0
0
0
16
0
8
0
0
2
2
0
0
0
0
8
2
1
1
1
8
8
8
8
8
16
8
8
8
16
16
16
16
16
16
16
16
16
16
16
16
16
8
0
0
0
0
8
8
8
16
8
8
8
16
16
12
56
56
32
32
8
24
1
1
0
8
24
24
16
16
0
8
8
24
24
0
8
16
0
2
2
2
16
4
24
16
16
16
16
0
0
0
16
16
0
0
8
0
0
0
0
0
0
0
0
0
4
8
0
0
2
2
2
2
2
0
0
8
16
8
12
6
0
0
2
8
47
1
2
2
44
8
8
8
32
0
0
1
16
4
4
4
1
0
16
16
1
1
8
8
1
1
1
8
0
16
16
16
16
16
4
16
8
8
2
2
2
2
2
8
16
16
16
16
16
16
8
16
8
8
8
8
0
0
20
5
1
1
1
1
1
1
1
20
20
8
20
16
16
0
2
2
2
2
0
0
0
16
16
16
0
16
0
0
0
1
0
1
32
8
0
0
40
40
40
16
16
0
0
1
1
0
0
8
8
16
16
16
0
2
16
16
16
16
16
8
1
1
8
8
8
24
16
16
16
0
0
0
16
16
16
8
1
32
0
0
0
4
0
0
0
2
16
8
8
8
6
14
8
8
17
8
0
0
8
2
8
5
5
5
5
5
5
5
8
0
16
16
16
16
0
16
16
16
1
1
8
9
9
0
16
16
28
28
28
0
0
0
32
32
16
16
0
0
0
0
0
4
4
4
16
16
4
4
16
16
8
8
8
8
8
0
8
8
0
8
8
8
0
0
0
16
16
8
0
16
1
0
0
0
0
0
0
0
0
0
0
32
32
16
16
8
16
16
16
16
16
0
16
16
8
2
2
8
8
8
8
4
0
8
8
0
1
1
24
4
16
0
0
0
0
0
1
16
16
16
16
8
8
1
1
1
0
0
0
0
0
8
0
0
0
0
0
0
8
8
8
0
8
3
3
32
16
16
0
0
0
16
8
16
16
16
16
16
8
8
16
16
0
0
0
8
24
0
1
1
0
8
16
16
16
24
24
24
8
8
16
16
16
16
16
8
0
1
8
16
16
8
10
26
16
16
16
0
0
16
8
8
8
0
49
49
4
4
4
8
8
8
5
0
4
4
4
4
2
2
0
16
32
34
8
8
0
0
0
0
1
8
8
8
16
16
2
2
2
2
2
0
12
16
16
0
8
8
16
0
0
0
0
1
12
0
0
6
4
8
8
2
8
8
3
3
3
3
1
4
4
4
16
8
1
16
1
4
4
2
2
0
0
0
4
4
24
24
8
16
16
0
0
16
16
16
16
16
16
2
2
2
2
2
0
16
2
16
17
8
19
1
8
4
8
8
8
8
8
0
0
16
16
4
6
6
6
6
6
6
6
17
0
0
25
24
24
24
8
16
16
16
16
16
16
8
0
0
16
8
8
8
0
2
2
2
0
0
0
0
32
28
8
8
8
8
8
8
24
0
8
8
8
0
16
18
8
0
0
0
0
0
8
8
8
8
1
0
8
0
0
0
0
0
32
4
4
8
16
16
18
1
1
2
0
8
8
8
8
16
16
0
32
1
1
1
1
1
8
8
1
21
8
8
0
0
0
0
0
0
8
0
9
2
2
8
24
8
8
8
4
0
48
48
48
48
48
8
8
8
16
16
16
16
16
0
0
18
8
0
4
4
4
4
2
24
12
24
8
0
0
0
8
8
8
19
19
8
17
16
16
16
16
16
8
8
8
8
8
8
4
4
0
8
8
32
4
4
4
0
0
1
0
0
16
0
2
0
0
0
2
2
0
0
8
16
0
57
57
57
0
7
4
4
6
4
32
32
32
32
24
8
8
1
16
1
1
1
1
0
0
8
8
24
0
8
8
0
0
0
0
0
16
8
24
24
24
0
0
16
16
0
0
1
1
0
0
0
16
16
16
16
16
16
16
16
16
16
2
2
0
0
4
4
4
16
16
16
8
8
8
0
8
8
8
8
0
45
45
8
8
0
10
0
0
0
0
8
8
8
16
16
16
0
0
0
0
0
0
0
8
8
8
24
8
2
4
8
8
8
48
1
0
4
16
1
1
0
0
0
8
8
8
8
0
8
8
0
0
32
32
32
32
32
32
32
32
32
4
16
34
34
1
3
0
0
0
0
8
8
0
1
8
8
0
8
4
28
1
32
8
8
8
8
8
8
0
0
0
8
8
8
8
24
24
0
16
8
8
16
0
0
8
32
32
32
32
4
4
4
16
8
8
8
8
8
8
8
8
16
16
16
2
2
2
16
16
0
0
0
0
0
0
0
4
4
4
4
4
24
8
8
8
8
8
0
8
4
0
0
8
8
16
0
16
16
16
0
7
7
0
16
16
16
0
16
16
8
16
0
0
4
0
8
8
8
32
32
0
0
0
0
0
1
1
1
1
1
1
8
0
16
16
16
0
8
8
8
8
8
8
16
16
16
16
16
16
8
8
8
8
16
16
16
0
0
0
0
16
8
16
16
0
0
2
4
4
0
0
0
8
0
0
8
8
8
0
13
13
8
8
8
8
8
16
1
8
8
8
16
16
24
24
24
4
36
32
16
16
16
0
0
0
0
0
0
0
0
0
0
8
8
8
8
16
0
0
0
8
8
0
0
8
8
16
16
16
4
16
0
0
0
8
8
16
16
16
4
4
12
58
58
58
58
58
8
0
0
0
0
8
8
8
8
8
8
16
16
16
8
16
16
16
16
16
0
1
1
1
16
0
0
0
1
1
1
9
9
1
0
1
1
1
0
4
0
16
16
0
4
4
4
8
8
17
0
0
12
12
8
0
0
0
0
2
18
18
4
0
0
32
32
8
8
8
1
0
16
8
8
8
8
8
16
0
0
8
0
8
8
0
0
0
0
0
0
8
16
16
16
16
11
11
11
11
0
8
8
16
16
16
16
16
0
32
32
32
32
8
8
3
8
8
8
8
0
0
0
0
4
4
4
4
8
8
8
8
8
8
8
8
32
32
32
32
0
16
16
16
16
0
0
0
0
0
0
0
0
0
4
12
4
4
4
12
4
4
4
2
8
8
8
8
16
16
16
0
0
8
0
16
4
4
8
8
2
2
2
2
2
2
8
8
4
8
35
33
4
4
4
57
2
16
16
16
16
16
16
8
1
4
16
16
16
16
2
2
2
0
0
0
0
16
16
16
12
12
12
4
0
8
8
8
8
8
0
0
0
8
0
0
0
0
2
0
16
16
8
8
0
0
0
16
16
16
33
32
0
8
1
1
1
1
1
8
9
9
9
9
8
0
35
0
8
1
0
1
8
0
0
33
3
3
3
3
3
0
4
16
40
40
40
40
8
8
8
16
16
16
0
16
0
0
0
8
8
8
8
16
16
0
0
0
0
16
16
16
0
0
8
8
8
8
4
1
0
0
0
0
9
0
1
1
1
0
8
0
0
2
2
2
2
2
2
0
0
0
16
16
16
4
4
0
0
0
0
0
16
16
16
16
0
0
0
8
8
8
8
8
8
16
16
11
2
10
2
4
8
8
0
0
0
8
26
16
8
8
8
16
4
4
4
16
8
8
16
16
16
16
8
8
8
0
0
29
8
8
8
16
8
8
4
8
8
8
8
20
20
8
8
8
8
0
0
32
32
32
8
16
0
0
0
16
16
16
0
2
2
2
2
4
8
8
4
4
4
4
4
4
32
0
8
16
24
16
16
0
0
0
8
8
8
16
2
2
44
44
44
8
8
8
1
8
0
0
0
0
12
8
12
25
24
24
8
8
16
16
32
16
48
48
16
8
0
0
24
24
24
24
24
16
23
0
0
8
0
0
32
32
22
22
22
8
8
0
0
1
16
0
4
1
16
4
4
4
4
4
4
4
4
4
16
0
0
8
0
0
0
0
0
0
0
1
0
8
24
1
8
24
24
24
24
4
48
4
4
0
8
8
8
8
4
8
0
8
8
0
16
16
60
8
9
8
8
19
19
48
32
0
16
4
0
0
32
24
24
32
0
0
0
16
16
58
56
56
56
56
0
0
0
0
32
32
0
4
20
16
16
24
16
32
32
8
0
0
2
2
2
2
8
0
2
8
0
0
0
0
8
0
8
8
0
0
0
0
0
0
2
16
16
0
0
16
16
16
0
0
4
16
16
0
16
2
2
2
0
0
0
16
16
16
0
8
8
8
4
8
0
16
8
8
1
1
0
0
24
24
8
4
2
0
41
0
8
0
0
0
32
1
1
2
16
16
16
16
8
8
8
8
32
24
8
0
0
8
8
8
8
8
2
9
1
1
1
1
2
2
0
8
1
4
4
2
2
2
16
16
16
0
8
8
12
13
13
0
8
8
16
16
40
40
0
8
8
2
2
4
6
16
16
16
18
8
8
8
8
0
16
24
8
8
8
8
8
8
21
4
25
4
4
4
8
8
16
16
0
8
0
0
0
4
4
0
17
17
17
17
19
4
4
1
8
24
24
16
16
0
0
8
16
16
16
8
8
2
2
0
0
8
8
0
0
16
0
0
8
4
4
4
2
0
0
0
0
0
17
2
16
16
2
0
24
24
24
24
24
8
0
40
16
16
8
8
8
0
0
27
27
16
16
16
4
32
1
0
1
32
8
8
1
8
16
8
16
0
0
4
8
8
8
8
8
8
0
0
0
1
8
16
16
16
8
0
0
16
0
48
48
48
8
8
8
0
0
21
4
4
4
8
8
8
8
9
8
8
32
0
16
16
16
0
0
0
16
16
16
16
16
16
0
0
0
0
0
2
4
24
24
24
24
24
8
16
16
16
8
1
20
8
8
8
0
20
16
0
8
8
8
8
8
20
20
8
0
0
0
0
16
32
32
32
32
32
32
32
9
8
8
8
16
8
8
0
0
8
8
8
8
16
16
16
0
16
16
16
32
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
16
16
8
0
0
8
48
48
16
3
23
3
0
0
2
2
2
35
3
3
3
3
24
24
24
0
0
0
0
4
4
4
4
4
4
4
4
4
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
16
19
24
24
24
8
0
4
0
0
8
8
8
8
52
8
16
8
63
24
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
32
2
2
0
8
8
0
0
40
8
8
8
1
0
0
24
24
8
8
8
8
8
2
2
9
0
4
8
0
0
16
36
0
16
16
16
4
0
0
8
8
8
8
0
2
2
2
2
0
0
0
2
2
1
1
16
16
16
16
1
1
1
1
0
0
8
8
0
0
0
1
8
16
16
16
16
16
16
8
8
0
4
18
18
18
2
8
16
16
16
16
1
1
8
0
0
0
0
0
0
0
0
4
4
16
20
0
24
8
8
0
0
0
0
1
8
16
32
4
4
16
16
24
11
2
0
8
8
8
8
0
0
8
8
4
4
4
4
16
16
16
16
16
16
8
0
0
8
2
2
8
24
24
8
8
8
0
8
8
8
16
0
24
32
32
32
32
32
32
8
8
8
0
0
32
16
16
16
16
8
10
0
8
9
1
3
1
16
32
32
32
33
32
0
8
16
16
16
8
8
0
8
32
16
16
16
16
16
24
16
0
4
24
32
1
16
0
49
16
8
16
27
0
16
16
16
24
24
0
0
0
0
16
8
16
16
24
8
8
8
8
48
8
8
0
0
0
16
16
16
8
16
8
8
0
8
0
0
0
0
0
1
8
0
1
11
0
0
0
0
0
8
8
0
0
32
32
0
24
24
24
24
16
16
16
16
16
16
16
0
0
0
8
8
8
8
8
0
0
0
0
16
1
1
0
0
16
16
16
16
8
8
0
0
8
0
0
0
0
8
8
8
8
16
8
8
8
8
4
0
0
0
0
16
16
0
4
16
8
0
8
8
1
8
8
8
0
52
2
0
0
0
0
0
0
16
16
16
16
8
8
8
8
8
0
0
2
2
0
0
16
16
0
4
0
0
0
0
16
16
0
8
8
8
8
8
8
8
0
16
16
16
16
16
16
16
16
9
0
8
8
9
8
8
8
1
4
8
8
0
16
0
8
8
24
8
8
0
10
0
0
32
8
37
4
0
2
0
8
5
16
8
8
16
16
0
0
8
8
8
0
0
0
1
1
1
1
1
16
16
16
16
16
16
16
16
16
16
0
4
4
2
16
16
16
16
0
1
8
8
8
8
16
1
0
0
4
1
1
0
32
16
0
0
0
0
0
0
9
24
24
16
16
32
32
16
0
16
0
0
24
16
24
8
0
0
0
16
16
1
1
24
0
0
17
17
1
16
8
0
0
0
8
8
8
0
2
8
8
8
9
9
9
24
24
1
1
24
25
16
8
8
8
60
60
60
8
40
8
0
0
0
0
0
0
0
24
19
19
16
0
0
16
0
0
0
0
1
16
16
16
16
16
16
16
16
16
8
8
8
0
0
0
0
0
12
12
16
2
4
1
24
24
0
8
8
0
0
18
18
8
1
2
2
16
9
16
16
0
0
8
8
5
5
0
0
16
16
20
20
8
0
0
32
0
8
8
8
8
16
8
8
0
8
4
0
16
0
0
0
8
8
8
16
0
8
8
2
2
2
4
0
8
0
0
0
0
16
32
0
0
24
16
8
8
8
8
8
8
0
0
0
16
16
16
16
20
20
16
0
0
0
0
0
19
8
2
0
0
0
0
8
24
25
16
8
8
16
1
1
1
32
0
0
0
16
1
1
16
0
0
2
16
16
0
0
0
0
4
0
0
16
16
8
8
0
16
0
0
0
0
8
16
16
16
8
12
16
12
0
0
0
8
8
17
0
16
16
32
8
8
8
0
0
0
8
16
0
0
0
0
0
0
0
58
58
8
0
16
16
16
16
16
8
4
4
0
0
4
4
8
8
8
8
16
16
16
16
0
0
0
10
8
8
16
16
16
0
16
16
0
0
8
16
8
8
8
0
0
0
0
0
0
4
4
0
8
16
20
16
1
1
1
1
1
1
1
4
4
0
24
17
1
1
0
8
8
0
16
0
0
8
8
8
8
20
2
2
24
24
24
24
21
21
21
32
40
32
8
16
16
24
24
24
24
16
16
8
16
16
16
16
16
16
16
8
8
8
8
8
1
0
0
16
18
2
16
16
0
1
8
0
17
16
16
0
8
16
16
16
8
8
0
0
8
17
8
10
0
0
0
2
8
0
4
4
16
16
16
16
0
0
8
16
16
16
16
16
16
1
1
0
0
0
0
16
16
8
16
16
16
16
16
8
8
8
8
8
8
8
8
48
16
10
8
0
8
8
8
16
0
0
16
16
0
0
2
2
8
8
8
8
8
8
1
16
16
16
16
0
2
2
2
2
0
0
16
16
32
16
8
16
0
4
0
16
16
16
4
4
0
8
8
8
8
0
0
0
8
8
8
8
8
16
0
1
0
16
16
0
0
32
0
16
2
0
8
8
8
8
33
33
33
0
0
0
0
4
4
4
4
0
16
4
4
4
16
1
1
32
16
8
8
8
8
8
8
8
6
6
16
16
32
2
2
0
0
0
0
0
0
2
2
2
1
16
16
16
32
0
0
0
16
16
16
10
2
0
2
2
16
0
0
0
0
0
16
16
16
16
16
16
0
0
4
12
4
0
17
29
8
8
8
8
8
8
8
0
0
24
0
0
12
12
0
0
8
1
0
0
0
16
16
0
0
0
0
18
18
8
8
0
16
25
25
25
25
25
25
4
8
0
4
4
4
1
0
16
2
0
16
11
11
11
8
16
0
0
1
1
12
8
8
40
2
2
2
2
2
16
16
16
1
5
16
16
0
0
0
0
16
2
8
8
0
0
0
0
0
0
16
16
16
16
0
8
16
48
8
16
8
28
24
16
0
1
1
8
0
0
0
32
0
16
8
1
8
8
8
24
8
8
16
8
0
2
2
16
16
16
8
0
0
10
10
10
17
17
0
0
1
8
8
8
8
8
8
16
0
0
8
16
0
16
4
4
4
1
1
16
1
1
8
0
0
9
32
32
32
32
16
16
4
16
8
16
16
16
0
0
0
16
16
16
16
16
16
9
9
8
0
16
16
16
16
16
16
16
16
16
1
1
1
57
8
25
0
8
16
1
16
16
16
0
8
8
24
24
24
24
8
8
0
2
0
8
8
8
2
2
4
4
0
0
4
1
4
1
4
5
4
20
0
0
4
2
0
8
8
8
8
8
4
4
8
0
8
8
0
0
9
8
0
8
8
40
8
0
0
9
4
10
2
2
8
8
8
8
8
8
8
8
8
1
8
8
8
0
2
2
2
2
16
8
8
0
0
0
18
18
8
11
33
0
0
0
0
0
8
0
0
2
8
8
0
0
1
1
1
1
16
24
34
16
16
1
0
8
8
0
10
1
1
0
0
1
8
8
8
4
4
0
8
8
8
0
0
16
16
0
14
8
8
8
32
16
16
16
8
16
16
0
0
40
40
40
40
8
0
0
8
8
16
2
0
0
48
48
48
8
8
6
1
1
1
0
8
1
1
0
0
32
24
32
40
32
2
6
0
4
4
8
32
8
16
8
8
8
8
8
0
8
8
0
16
0
0
0
0
0
0
16
8
8
8
24
8
8
8
8
8
1
8
16
16
4
8
12
12
4
4
16
16
16
16
0
24
0
16
0
0
0
0
16
16
16
0
0
0
0
8
0
8
8
16
16
16
0
0
26
0
2
2
16
16
16
8
8
0
8
8
8
0
0
0
0
30
16
0
8
8
8
8
0
11
2
8
8
28
0
0
16
16
0
12
12
12
0
8
8
4
4
0
0
0
8
16
16
16
16
16
16
1
1
1
1
8
0
0
0
0
0
2
2
0
8
8
8
16
8
16
1
17
17
16
0
8
1
1
1
1
0
0
0
0
8
8
8
16
16
16
0
16
4
0
0
0
1
0
16
16
16
0
16
16
8
8
8
1
1
8
4
4
4
49
1
8
0
0
1
1
4
1
16
16
16
16
16
4
4
53
53
53
1
8
8
0
0
6
34
8
8
0
1
0
0
0
16
0
0
0
0
0
32
0
0
0
8
4
0
0
0
0
0
4
4
8
1
8
8
16
8
8
8
8
8
1
8
8
2
1
12
0
8
0
2
2
2
2
8
1
4
4
16
16
16
16
16
8
8
8
8
8
8
8
8
8
0
0
0
0
2
16
16
16
16
8
16
16
24
16
0
0
16
2
16
8
8
16
16
8
8
8
0
0
0
0
8
4
4
0
1
16
1
16
2
8
8
16
16
16
16
16
8
2
1
2
0
0
2
2
24
0
0
20
32
32
8
8
8
0
20
0
0
0
20
20
20
16
16
16
16
0
7
1
1
4
8
8
2
2
0
0
8
8
4
4
4
4
4
4
4
0
24
0
8
8
8
0
0
32
32
32
8
16
16
16
16
8
4
4
4
0
8
8
4
0
16
8
8
8
14
14
5
0
0
8
8
8
8
8
0
8
16
0
0
0
16
0
0
30
0
0
1
8
8
8
8
16
4
4
4
20
20
10
10
2
25
25
8
8
8
0
0
8
0
0
0
0
0
0
8
24
0
0
0
0
1
1
0
8
24
8
8
8
1
1
1
1
0
0
12
12
4
1
1
17
16
16
16
18
5
5
5
0
6
6
2
2
16
32
1
1
1
24
16
16
0
0
1
16
1
2
2
16
16
0
0
24
8
16
16
16
16
0
16
17
16
16
16
16
8
8
0
0
0
0
0
8
0
0
0
16
0
0
16
40
0
0
16
8
20
20
20
8
0
0
0
8
4
4
9
9
16
16
8
8
8
8
2
2
8
24
8
8
8
8
8
0
8
32
32
8
4
4
0
0
0
8
8
8
0
0
16
16
16
16
16
16
16
2
8
24
24
16
16
16
16
0
24
24
8
8
0
0
0
0
4
2
0
0
0
0
16
16
0
16
8
0
0
8
8
8
8
0
18
0
0
0
0
0
20
4
0
16
0
0
0
49
49
49
0
0
6
8
8
8
1
1
8
8
2
9
8
0
8
8
8
4
4
4
17
17
17
8
8
8
8
8
8
16
0
0
25
25
0
4
25
2
2
16
8
16
16
0
0
16
16
16
0
16
16
5
8
8
16
16
16
16
16
16
16
16
16
16
16
32
32
32
8
8
0
0
4
0
0
0
8
0
1
0
0
4
4
4
4
8
0
8
8
16
16
16
16
16
0
0
2
2
8
0
8
8
8
4
0
8
0
0
8
8
16
16
16
4
4
16
16
16
0
0
0
8
8
0
8
8
4
0
8
8
0
0
0
1
0
0
2
2
8
0
8
8
8
8
8
0
20
20
20
16
0
0
0
0
8
8
8
16
0
34
34
34
16
16
8
8
8
18
16
0
0
0
12
0
0
0
0
16
8
0
32
32
32
32
2
2
8
0
0
2
0
0
0
0
0
0
0
0
1
16
16
16
16
16
16
0
4
4
4
8
8
8
0
0
0
0
0
8
16
0
1
1
24
24
24
24
32
0
0
0
0
0
25
16
16
2
2
8
8
8
8
0
0
1
16
0
16
16
16
0
0
8
8
0
0
0
0
0
8
8
8
8
8
0
8
44
0
19
0
24
24
17
17
4
4
4
8
0
0
0
0
0
8
8
24
24
24
24
24
24
16
16
16
16
16
0
0
8
8
8
16
16
16
16
16
16
8
8
0
24
0
0
0
0
2
16
16
16
4
4
4
0
0
8
32
32
32
32
0
0
0
0
0
0
0
16
16
16
0
2
0
0
2
0
0
0
0
0
16
0
1
32
32
32
32
8
17
16
8
8
0
2
8
0
0
24
24
16
16
16
16
16
0
8
0
0
4
16
8
4
8
8
8
1
6
20
8
8
12
12
12
8
4
0
0
0
8
0
0
0
0
8
8
0
0
0
16
18
16
16
16
0
0
0
0
8
4
4
1
24
8
0
9
2
2
2
2
2
2
17
0
0
0
0
8
32
32
16
16
2
2
8
8
24
8
8
16
8
4
4
4
4
60
8
8
0
16
32
32
32
51
2
2
3
0
0
0
0
0
2
8
8
0
16
16
16
2
2
2
1
1
1
1
1
1
1
0
16
16
16
16
16
16
16
16
1
1
1
16
8
8
0
1
1
1
8
8
16
16
0
0
8
16
16
2
0
8
0
2
16
16
8
8
0
8
16
4
16
8
1
1
17
1
1
1
17
17
17
24
16
2
16
16
16
16
0
0
0
0
0
0
0
0
0
0
16
16
16
0
0
32
32
32
32
32
32
0
2
0
16
16
16
8
16
4
16
16
0
16
0
0
4
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
0
0
4
16
8
8
8
32
24
8
2
4
4
4
8
0
0
8
8
0
0
0
0
0
16
16
16
0
8
4
0
4
16
16
2
2
2
2
16
4
8
8
8
8
0
8
2
0
0
32
1
8
8
0
16
32
32
0
19
0
16
16
16
16
16
3
24
0
0
0
10
0
8
16
8
0
8
8
40
40
40
0
0
0
2
2
2
16
16
8
0
0
32
32
32
32
32
32
0
4
4
1
1
1
8
9
8
0
0
20
4
4
16
16
16
0
0
0
0
0
0
24
24
8
16
22
22
22
16
16
16
16
10
10
10
8
8
16
8
8
8
8
2
2
0
7
16
16
8
8
8
8
8
8
16
16
16
16
32
4
0
16
16
16
16
21
16
16
0
32
8
16
16
0
0
5
16
16
1
1
1
1
14
14
2
2
2
2
4
4
4
4
4
4
4
4
4
4
0
0
0
8
8
8
0
8
16
0
0
0
0
0
10
10
10
8
8
8
8
8
8
0
0
16
16
16
4
4
48
48
0
0
0
33
32
1
32
32
32
32
8
1
1
8
0
2
2
0
0
16
0
0
4
1
0
16
16
16
8
0
16
24
8
0
0
16
0
0
16
16
16
16
16
1
1
1
0
8
8
8
9
8
8
8
8
8
8
8
8
8
8
8
8
8
16
16
16
4
4
4
4
2
2
0
0
0
2
4
4
4
0
16
16
0
0
8
8
8
8
8
16
8
0
0
0
8
0
0
0
0
2
24
16
16
24
2
2
1
1
1
1
8
24
2
8
0
8
0
0
17
16
28
28
4
8
8
8
8
8
4
4
16
1
1
1
0
0
8
8
8
8
4
4
4
24
0
16
16
8
0
10
10
10
30
32
0
0
8
0
16
16
0
0
0
30
16
16
16
4
1
1
1
8
8
0
8
0
0
16
16
16
16
32
0
4
4
16
16
0
0
24
10
10
10
10
10
10
33
33
8
8
52
32
0
24
24
16
24
24
1
1
0
0
0
0
0
4
0
0
0
0
0
8
8
0
8
8
8
2
0
20
44
4
8
8
8
32
32
32
1
1
39
16
16
8
8
8
1
1
1
1
0
0
0
6
6
6
6
2
2
1
0
0
32
2
2
2
2
2
2
2
8
8
8
8
4
8
8
8
0
0
33
1
16
16
16
32
0
4
0
4
0
8
8
8
16
16
16
1
1
0
1
1
16
2
2
2
16
16
16
16
16
8
8
8
8
8
16
16
16
16
16
0
8
1
1
1
1
1
1
0
8
8
40
40
40
4
0
0
0
8
8
8
1
8
8
4
0
16
16
16
16
16
16
1
6
14
16
0
16
12
8
16
16
0
9
8
12
12
4
16
8
1
0
10
0
0
4
0
8
8
8
0
24
24
24
0
16
4
4
4
8
8
4
8
0
16
16
0
0
0
8
19
1
20
16
16
16
8
8
8
8
0
0
0
0
4
4
4
4
4
4
30
2
1
4
0
8
2
2
2
2
4
4
4
4
0
10
10
0
0
24
24
24
24
24
2
2
24
16
18
1
1
1
8
0
0
0
0
0
0
0
2
18
2
24
24
24
24
0
16
0
8
8
8
1
1
0
16
16
8
8
8
16
0
0
0
4
10
10
0
0
0
0
0
0
0
2
0
0
0
8
1
1
1
8
8
0
0
2
2
4
0
0
0
0
8
0
0
0
0
0
0
0
0
2
32
32
32
16
6
8
16
19
19
20
20
20
20
4
16
0
16
1
1
1
8
0
1
1
2
2
2
2
0
0
0
8
24
8
8
24
8
2
0
0
8
8
8
8
8
4
8
16
16
0
32
32
32
1
1
8
0
0
8
8
0
16
16
16
0
24
8
8
16
0
0
0
0
1
1
0
1
1
1
1
0
0
0
0
0
0
0
0
9
9
9
9
8
8
0
0
0
8
8
0
8
0
17
2
1
1
1
8
8
8
8
8
8
0
0
28
28
28
28
8
8
4
8
8
0
1
0
40
8
8
24
4
8
8
16
16
16
16
0
0
16
16
16
0
8
8
8
8
1
16
0
0
1
8
8
0
0
1
1
1
16
16
8
8
8
8
8
4
16
1
1
1
8
8
8
16
16
8
8
0
16
16
16
16
16
16
16
8
0
8
8
8
1
0
8
0
8
0
0
0
0
0
0
4
4
4
32
32
32
16
0
2
2
2
2
28
16
0
0
0
0
0
8
8
0
18
18
26
0
0
16
16
16
16
0
0
0
0
0
8
8
8
8
0
0
0
0
2
2
8
0
4
12
0
8
8
8
8
0
0
0
0
0
0
0
0
8
8
8
8
16
2
8
16
2
2
0
2
2
2
16
8
8
8
8
4
8
8
16
16
32
1
16
16
0
0
0
2
16
8
2
8
8
8
8
8
8
16
16
16
2
0
16
8
56
6
8
8
8
28
16
16
8
16
16
2
16
16
16
16
0
0
0
0
2
2
1
1
24
8
8
8
8
8
16
16
16
2
2
2
0
40
34
34
2
2
16
10
38
0
18
1
1
1
4
8
1
8
1
1
0
0
8
8
0
8
8
8
8
8
8
8
8
8
8
13
16
8
0
0
0
0
0
0
4
0
2
40
16
8
4
4
4
4
1
1
10
10
0
0
0
32
32
0
2
32
32
12
2
2
48
48
16
16
16
0
0
40
32
8
8
8
8
8
8
0
0
0
8
8
8
0
0
8
8
4
4
4
4
4
4
32
13
8
1
8
8
8
8
0
16
8
8
8
8
8
8
12
16
0
16
8
16
18
8
8
0
1
0
0
0
0
0
0
8
8
8
8
8
8
8
8
8
1
0
0
0
0
0
0
0
0
0
16
16
24
0
0
0
0
5
1
0
44
16
16
16
16
16
1
0
0
0
0
32
32
32
32
8
8
8
24
24
8
8
8
8
50
1
10
0
8
2
2
2
2
16
2
8
4
14
8
8
8
12
8
0
0
0
0
0
0
8
8
17
1
1
8
8
8
0
0
0
16
16
16
16
0
16
0
0
0
0
0
1
8
4
8
0
12
8
8
8
16
8
8
8
8
8
8
2
2
2
2
2
19
2
2
8
8
1
1
1
8
12
12
4
4
4
4
4
18
18
0
0
8
9
9
0
8
8
8
1
0
0
16
8
8
1
8
8
1
1
1
16
16
0
0
0
0
0
16
16
16
16
16
16
0
0
40
40
40
40
8
8
8
8
8
1
16
16
8
2
2
24
1
8
8
8
0
0
0
2
2
2
4
0
0
1
1
8
8
8
8
8
8
8
16
4
8
8
0
0
0
0
16
0
0
0
0
0
0
16
16
4
2
8
8
41
32
0
0
8
8
8
8
0
0
0
0
0
0
0
4
4
8
8
8
8
20
20
1
8
16
8
8
8
0
0
0
8
8
8
8
16
17
1
16
0
0
32
32
9
9
16
16
0
8
8
8
0
40
40
8
0
0
8
4
4
4
0
0
0
0
0
8
8
0
0
5
4
8
8
8
16
16
16
0
0
0
1
2
0
0
0
0
0
32
40
32
32
32
32
16
16
4
4
4
4
4
0
0
0
0
0
0
16
16
16
16
16
16
0
8
4
4
8
8
0
4
16
16
0
0
0
1
1
1
8
0
0
0
8
32
0
0
0
8
40
40
0
2
8
8
8
8
8
32
32
32
0
16
16
8
16
16
16
8
8
8
8
8
8
8
16
16
8
8
8
8
8
8
8
17
17
17
0
0
8
8
2
0
0
0
20
8
8
8
2
8
8
8
8
8
8
0
16
16
16
16
16
16
8
0
4
8
0
0
0
0
8
0
0
0
8
8
0
0
9
1
16
16
2
2
2
4
0
8
8
8
32
32
8
20
20
20
9
8
8
8
8
0
16
16
16
16
8
0
0
8
16
8
0
0
16
8
8
16
16
1
0
0
16
16
0
0
0
0
0
8
40
0
0
0
60
4
8
8
8
8
0
0
0
0
0
0
16
2
0
8
0
16
16
0
8
8
8
0
8
8
1
1
1
8
8
8
0
2
7
8
16
16
0
0
8
0
8
8
24
24
24
16
16
8
8
8
8
8
16
16
16
16
16
16
16
57
8
8
8
8
8
8
8
16
16
16
16
8
8
8
0
0
0
16
16
16
0
0
0
0
0
1
1
16
16
8
24
40
8
8
8
8
8
8
0
0
0
8
8
8
16
8
0
9
9
1
0
0
0
0
0
0
4
16
9
20
20
8
8
16
16
21
21
0
16
16
24
16
0
1
8
8
0
4
4
32
32
32
32
0
0
0
0
0
0
0
8
8
0
0
0
25
25
1
1
1
0
8
24
8
8
16
16
0
0
32
0
0
0
0
0
20
16
16
16
0
16
16
16
16
16
16
48
4
1
1
8
8
4
4
33
20
0
0
0
0
0
16
16
16
16
2
0
0
16
8
1
1
0
17
0
0
0
16
0
0
0
0
0
0
8
8
8
8
8
16
16
0
0
8
8
0
8
8
0
8
8
8
0
0
24
24
2
2
2
0
0
0
0
4
4
24
4
28
6
0
8
0
0
0
0
0
4
4
4
4
2
8
8
8
8
8
8
8
8
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
16
8
8
0
0
0
0
8
16
16
0
2
2
1
16
0
0
0
0
16
0
0
28
28
0
0
0
8
8
8
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
0
32
8
24
33
0
0
32
8
8
3
0
3
0
0
0
8
0
1
8
8
2
8
8
8
8
8
16
0
20
20
20
17
17
17
17
0
1
16
16
0
8
16
8
16
16
1
1
1
7
7
28
28
28
16
16
0
8
8
0
14
1
8
16
16
16
8
11
1
8
8
8
0
0
0
0
8
0
0
0
17
17
17
16
8
8
8
8
2
8
1
1
1
1
1
8
8
8
8
8
8
8
16
20
16
16
8
0
4
4
4
16
16
0
0
4
8
8
6
4
2
2
2
16
0
8
8
8
1
1
1
1
16
16
16
16
8
39
8
8
8
8
0
0
0
1
1
1
1
1
0
8
8
8
8
8
8
8
8
18
0
0
0
0
3
8
8
16
16
16
0
41
16
16
16
16
16
0
8
0
0
0
16
16
16
16
16
16
0
16
1
16
2
16
16
8
8
8
0
0
0
0
24
24
24
8
9
32
16
8
0
0
0
16
16
4
8
8
49
2
16
16
16
0
0
0
2
16
8
8
8
16
16
0
0
0
0
16
24
24
16
21
16
16
16
8
8
8
8
16
16
8
10
8
8
8
8
8
7
7
7
0
0
8
8
8
8
8
8
8
0
1
1
1
8
8
8
0
6
16
0
1
4
0
0
0
0
0
8
8
8
0
0
2
2
2
2
2
0
0
16
0
0
0
0
0
0
0
28
8
16
16
0
0
8
0
8
8
8
0
0
0
16
8
8
1
1
8
1
1
21
21
21
2
6
16
8
8
8
24
24
40
0
16
0
0
0
16
16
1
1
2
8
8
0
0
0
0
0
16
16
0
8
8
8
8
8
8
1
0
0
8
8
8
8
0
8
8
19
19
19
0
0
16
16
16
16
16
16
16
0
1
17
8
8
8
16
16
16
16
8
8
8
16
0
16
16
16
16
19
16
16
16
16
8
8
16
16
16
16
16
0
0
0
8
8
33
0
0
0
16
4
4
16
0
1
1
26
0
0
0
0
2
16
16
16
16
8
8
16
16
8
0
27
27
27
1
8
8
8
8
8
8
8
0
0
1
1
16
0
0
32
32
20
24
16
16
0
0
0
0
0
0
4
4
4
8
8
0
0
16
16
0
8
8
8
4
4
0
8
8
8
8
0
0
0
0
0
0
0
0
0
0
16
8
16
16
16
16
17
17
0
0
16
16
1
8
8
8
8
8
0
1
0
32
32
32
16
16
16
25
25
8
0
24
24
1
1
1
1
1
1
8
8
8
8
16
8
8
8
8
8
8
8
8
8
0
8
16
8
8
16
0
0
0
4
4
4
4
8
4
16
2
8
8
0
8
0
16
0
0
4
8
8
8
8
8
8
8
8
8
8
8
17
1
1
16
0
0
0
0
16
16
0
8
32
32
0
32
32
0
0
24
16
16
0
0
8
16
0
0
1
8
8
8
8
16
0
0
24
24
8
8
8
8
8
8
16
0
0
16
16
0
8
6
6
6
16
1
1
1
16
32
32
8
18
18
18
18
18
18
18
0
0
8
8
0
16
16
16
1
0
0
0
0
16
16
8
8
12
12
24
8
4
8
0
0
0
8
8
8
2
1
16
16
1
16
16
8
16
16
16
16
16
8
52
8
8
0
8
8
1
16
16
16
8
0
6
6
0
0
0
0
0
8
8
16
0
4
4
4
8
8
16
16
16
16
16
0
0
0
0
24
24
24
24
0
8
8
24
2
2
2
16
16
16
8
16
16
8
9
8
4
4
8
2
0
0
8
0
0
0
0
8
8
0
16
0
16
16
16
0
0
0
0
0
16
0
0
0
0
32
1
16
24
24
0
16
0
0
0
4
0
0
32
8
32
32
17
8
40
12
0
0
0
4
4
4
0
0
0
2
2
2
2
0
0
8
37
53
28
28
28
28
8
8
8
1
1
1
1
1
1
1
1
32
24
8
8
8
8
1
1
1
1
16
18
18
8
8
8
0
24
8
8
24
2
8
16
16
8
12
1
16
32
0
0
0
32
16
0
8
0
0
16
16
16
0
0
0
2
2
8
16
21
20
8
2
6
1
1
8
8
8
24
2
10
2
2
0
8
16
16
16
16
16
53
53
16
16
16
16
0
1
16
16
16
8
28
28
28
28
28
8
8
8
1
1
1
0
0
1
1
1
16
16
16
16
10
10
10
0
0
2
16
16
16
16
16
16
16
16
4
4
8
0
4
0
16
16
16
3
1
4
4
8
16
16
16
16
16
8
8
4
0
8
8
8
8
0
4
4
8
0
8
8
8
2
2
2
2
2
2
16
0
7
7
7
8
1
1
16
8
0
0
8
8
0
1
1
1
8
8
0
0
0
0
8
8
8
0
8
8
24
40
40
8
0
0
32
32
8
0
8
8
8
16
16
0
4
4
2
2
2
2
2
0
1
1
1
0
20
1
0
8
0
6
8
8
8
0
0
1
1
1
20
20
0
0
8
0
0
4
4
8
8
8
0
24
8
0
8
0
49
4
4
0
0
24
24
24
24
24
24
24
24
8
8
16
0
8
1
16
16
8
8
4
4
8
8
8
0
0
0
0
0
0
0
8
12
8
8
8
16
16
40
16
4
16
16
16
48
16
2
2
2
12
0
28
8
1
16
16
16
4
8
8
1
16
16
8
8
8
8
16
16
16
18
8
8
16
0
0
16
4
5
5
0
0
8
0
2
2
2
0
0
0
0
0
0
17
1
0
0
0
0
0
24
24
24
32
8
8
0
2
1
1
1
1
1
8
8
8
1
0
25
25
25
24
16
16
8
4
4
13
8
1
8
8
8
8
8
8
8
8
0
0
0
40
0
1
1
40
40
40
8
8
8
8
0
2
2
1
16
16
16
16
16
16
16
16
0
2
0
0
0
10
0
0
19
16
16
0
0
0
8
8
8
8
8
8
8
8
8
2
0
0
0
0
0
0
8
8
8
8
8
8
8
16
0
0
0
0
4
4
4
0
0
0
0
0
0
24
8
16
16
16
16
16
0
16
16
20
8
16
16
17
17
0
10
8
0
1
8
0
0
0
0
32
4
8
0
0
8
8
4
4
13
13
13
0
0
16
16
0
0
16
16
16
16
16
8
0
0
0
0
0
0
0
0
0
24
8
8
8
0
0
0
0
35
29
16
16
0
5
8
2
0
0
0
1
16
0
0
0
0
0
4
4
1
32
0
8
8
18
18
16
11
0
0
0
0
0
22
22
2
16
16
16
0
16
1
1
1
1
1
24
8
8
8
16
17
17
0
0
0
0
1
1
1
4
0
8
0
8
8
8
8
16
16
16
16
16
16
16
16
24
24
8
8
0
0
16
0
8
8
8
8
17
16
16
16
16
8
8
8
8
8
8
8
8
16
16
1
1
0
2
1
2
32
32
32
32
32
32
32
8
14
14
8
8
2
0
0
0
0
0
32
8
8
8
8
0
4
17
1
8
8
32
0
0
0
0
0
0
0
0
0
0
0
9
16
8
8
8
0
20
20
20
20
8
4
0
0
0
0
0
4
25
25
1
16
0
16
16
16
0
0
0
8
16
0
0
2
0
8
0
8
0
0
16
16
8
0
16
16
0
16
8
4
20
12
12
32
32
1
1
16
8
1
1
33
2
0
0
0
16
0
8
8
8
27
8
13
32
8
8
4
16
8
28
40
40
40
40
8
16
2
2
8
8
8
8
16
16
17
16
16
0
10
0
8
8
16
16
8
4
0
0
8
8
0
0
0
0
0
16
8
16
16
17
32
32
32
16
16
2
2
10
0
0
0
24
8
32
32
40
40
40
40
1
8
8
4
20
4
0
0
0
16
1
1
1
17
1
0
0
16
20
16
16
56
12
12
24
24
2
2
2
0
2
2
8
8
8
0
8
17
16
0
24
16
25
32
8
0
17
17
8
8
40
8
0
16
16
16
8
0
0
0
0
1
8
1
1
1
1
1
8
8
4
4
4
4
4
4
16
16
16
26
2
2
0
0
0
16
35
35
35
35
24
16
8
1
8
8
32
32
48
34
0
16
0
0
0
0
0
0
2
0
3
1
3
3
24
24
16
16
0
0
0
0
16
16
0
0
16
0
8
8
8
1
1
1
8
0
16
2
2
16
16
32
16
16
16
8
8
8
0
8
8
8
8
8
8
8
8
8
16
8
24
0
8
8
8
8
2
18
18
2
2
2
2
8
24
8
8
8
8
1
1
0
8
8
8
8
8
8
12
12
12
18
16
2
8
8
3
9
9
8
8
2
0
4
16
16
0
0
0
16
16
8
8
8
16
8
32
32
16
8
8
8
0
0
16
16
4
0
0
0
0
16
8
8
16
16
16
16
0
16
16
2
2
8
4
4
2
2
2
0
0
0
0
0
16
16
1
1
1
1
1
1
1
1
0
0
0
4
4
4
4
8
8
0
0
8
0
0
18
18
18
18
16
0
0
1
4
20
20
8
5
0
16
16
16
16
32
0
0
8
8
8
8
20
18
0
2
32
32
20
20
0
0
0
0
8
8
2
0
0
4
0
8
8
8
8
48
0
16
16
8
16
0
2
40
40
0
16
8
0
8
4
0
8
16
16
0
0
0
0
8
2
16
16
16
0
8
0
8
4
18
18
0
2
4
0
8
8
8
8
2
2
49
49
16
33
16
1
4
4
16
16
16
8
16
16
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
12
12
12
12
24
12
20
20
20
1
8
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
16
0
0
8
0
0
28
0
0
8
6
6
6
0
0
0
0
2
2
8
8
8
0
8
8
0
0
8
1
2
2
32
16
0
2
0
0
0
0
0
32
32
32
32
32
32
0
8
8
1
1
1
1
1
8
8
1
61
61
61
0
0
0
0
16
16
0
0
0
0
1
9
9
16
8
8
4
5
8
8
8
8
8
8
8
8
8
0
2
8
2
20
20
20
16
16
0
0
0
0
16
16
16
16
16
16
0
0
8
32
16
16
1
1
1
1
1
1
8
1
0
8
8
8
0
0
16
16
16
25
1
8
0
0
20
4
8
0
0
0
0
18
18
15
0
0
0
0
24
0
0
0
0
1
0
8
8
4
20
20
8
9
0
0
8
0
0
0
0
0
0
24
24
24
0
0
0
0
16
16
0
0
0
0
8
8
8
8
22
22
0
0
16
24
24
0
8
8
0
16
16
16
8
0
0
0
18
0
0
0
31
2
8
8
0
16
0
0
16
16
8
8
8
8
0
0
0
2
2
12
8
12
8
8
32
16
8
0
2
8
8
8
8
12
4
8
0
16
16
16
0
0
0
0
16
0
0
0
16
16
16
16
4
4
8
16
16
16
16
0
4
4
8
8
8
0
0
0
2
0
0
0
8
8
16
16
16
16
8
8
8
2
4
1
16
8
0
0
24
8
8
2
0
16
16
32
0
5
5
4
0
0
0
0
8
8
8
16
0
16
16
16
16
4
4
8
0
16
16
0
0
0
51
0
0
0
16
16
0
0
0
8
8
8
16
8
8
8
0
0
0
0
8
8
24
9
9
9
20
20
1
0
0
8
0
8
32
0
24
16
0
8
8
9
18
16
16
16
16
16
4
1
0
8
8
8
0
8
8
8
8
0
0
0
21
21
4
4
0
8
16
16
0
0
0
8
16
16
8
8
16
8
8
0
0
48
48
16
8
8
8
0
36
8
0
0
0
0
0
0
2
2
2
2
8
0
0
0
0
16
0
0
8
16
16
16
8
16
16
8
12
4
4
4
18
4
16
16
16
16
16
16
16
16
2
0
0
20
20
4
33
1
40
40
16
8
8
1
1
32
32
32
32
32
16
16
16
16
16
16
1
0
24
33
8
20
8
18
0
8
8
32
32
32
32
32
32
0
1
8
8
8
0
0
8
28
28
1
2
2
2
2
2
8
8
8
32
4
4
4
4
4
4
0
49
49
49
8
16
16
24
0
0
0
16
18
0
0
1
1
8
8
1
16
16
1
1
1
8
8
8
16
8
8
8
20
16
6
6
0
40
16
30
30
8
8
8
8
0
8
2
16
16
16
8
8
4
4
16
49
0
2
2
32
41
41
16
8
8
8
0
8
16
16
16
2
0
0
0
0
4
4
4
4
4
4
4
4
4
4
4
1
1
1
1
1
1
8
8
8
16
16
0
0
8
8
8
8
16
16
16
16
16
0
0
0
4
4
4
4
4
16
2
8
0
0
8
8
2
0
33
0
0
8
2
18
16
0
2
2
2
8
0
0
0
0
8
8
4
0
8
0
0
8
8
0
8
24
24
24
24
24
16
16
16
4
0
0
0
16
16
0
0
0
0
24
8
0
3
8
8
8
0
16
16
8
8
8
9
8
16
16
8
24
24
24
24
0
0
16
8
0
0
8
8
8
8
8
8
0
0
0
0
2
2
18
18
8
8
8
0
8
1
1
1
1
1
1
1
0
16
16
16
16
16
16
16
2
8
8
4
4
4
4
1
1
0
0
0
0
8
32
9
0
0
8
0
0
0
4
4
0
0
0
32
2
2
8
16
16
16
16
0
0
0
0
2
0
0
0
0
0
5
5
5
5
4
0
0
16
16
16
16
16
16
16
56
56
1
2
24
1
1
1
1
8
0
52
24
24
24
24
24
2
2
0
4
8
8
16
16
24
16
16
16
16
16
16
8
1
8
8
1
8
0
2
2
32
16
16
16
8
16
16
24
24
0
1
1
0
0
0
2
0
16
16
16
16
16
1
1
1
16
0
34
34
34
34
8
8
0
7
7
8
4
4
4
0
12
4
4
16
16
16
8
16
16
32
32
32
32
32
32
0
0
0
0
16
16
16
16
0
0
8
8
0
0
0
4
4
4
4
4
4
4
34
34
16
16
16
17
17
0
0
2
2
2
2
2
2
24
0
0
0
0
0
0
8
8
8
8
8
8
8
8
8
16
2
2
0
0
0
59
59
59
0
0
0
24
6
0
2
2
2
2
2
2
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
9
4
4
16
16
8
8
12
8
8
0
16
0
0
0
0
16
1
16
16
0
8
1
16
16
8
2
0
0
8
8
4
32
32
32
32
32
32
8
8
8
8
8
8
16
16
16
16
16
16
16
0
32
2
2
2
2
0
0
0
0
2
2
2
16
16
16
0
18
18
0
4
0
20
20
20
20
20
20
18
9
2
2
2
2
0
0
4
16
8
8
8
0
0
16
16
16
0
0
0
2
2
2
2
52
52
56
8
8
0
0
0
0
0
0
24
24
24
24
8
1
1
0
2
8
8
8
8
8
8
0
8
0
0
4
4
4
4
4
0
1
1
12
16
16
16
12
12
16
16
0
8
8
8
10
2
16
25
24
24
24
2
8
4
16
16
4
4
4
4
4
8
8
2
2
24
16
16
16
16
8
16
16
20
8
8
16
0
0
0
8
8
8
0
0
0
0
12
8
0
0
20
16
16
20
4
1
0
0
16
8
4
4
32
8
8
8
8
1
0
0
0
8
0
0
20
0
0
0
8
0
0
8
8
0
0
16
16
16
0
0
0
48
48
48
16
16
16
16
0
8
8
4
1
1
1
1
0
0
16
16
16
2
8
8
0
0
0
8
8
16
16
16
16
16
16
16
8
8
8
1
1
1
0
32
0
2
27
27
0
0
0
1
1
8
8
16
16
0
4
16
16
16
32
42
42
42
0
16
0
9
0
0
2
2
2
0
0
0
0
16
8
8
0
8
8
8
8
24
8
12
0
8
24
24
24
24
24
0
0
8
8
8
4
8
8
8
8
0
0
0
0
0
0
0
1
8
8
8
2
2
2
8
0
0
0
0
0
0
0
0
0
8
17
17
17
8
18
18
18
8
8
0
8
8
16
16
0
16
16
8
8
1
0
0
0
2
2
2
2
2
0
0
0
8
8
8
16
0
0
24
32
32
16
0
2
2
32
32
11
11
8
8
8
16
9
9
16
16
9
1
0
18
0
0
0
4
16
24
8
8
2
2
32
8
8
4
16
2
0
0
8
8
1
8
8
8
32
5
5
16
8
2
2
2
2
16
4
17
17
17
1
8
0
25
25
25
16
8
19
3
3
3
28
8
4
8
8
8
8
8
8
16
16
8
0
0
0
0
8
16
0
0
0
16
16
0
0
0
0
0
0
16
8
8
8
0
8
8
8
16
16
16
16
2
8
8
12
4
4
4
4
4
4
8
8
2
2
2
9
9
9
9
0
0
0
0
8
8
0
0
0
0
11
11
1
1
1
1
32
32
32
12
8
8
8
8
8
40
40
32
5
5
5
5
8
8
8
8
8
8
8
17
17
17
17
17
17
3
2
2
2
2
2
16
16
0
0
0
0
39
39
39
39
0
8
0
39
39
1
1
1
1
4
4
4
8
8
8
8
8
8
8
8
16
8
0
24
8
8
12
12
16
16
16
16
16
16
16
0
0
0
0
0
0
0
0
0
8
2
17
2
2
20
4
4
4
4
4
24
0
0
0
32
0
0
0
4
8
8
8
4
4
8
0
0
0
0
16
0
16
0
16
16
4
4
4
4
0
0
0
0
0
16
16
16
16
16
5
5
16
16
16
16
1
1
1
1
8
8
24
28
2
22
8
16
8
8
0
0
8
8
16
8
8
8
8
8
8
8
8
0
0
0
0
8
16
16
8
12
12
24
0
16
16
8
18
0
8
8
33
0
1
1
8
8
8
8
16
0
22
25
0
0
16
16
16
16
16
16
16
16
16
16
8
24
16
16
0
0
0
0
0
32
32
32
0
42
42
8
0
48
3
3
8
2
2
0
16
0
20
20
20
20
20
1
1
0
0
8
8
0
0
0
0
0
20
0
0
16
16
16
1
1
1
4
8
8
24
8
8
8
8
8
8
8
4
0
0
8
20
20
20
20
20
0
0
1
1
16
8
8
4
4
8
8
0
0
0
8
8
8
0
0
4
16
16
8
9
4
16
32
8
8
8
8
28
0
0
0
0
8
2
0
8
8
0
0
1
1
16
16
0
1
1
1
1
1
1
0
8
8
8
1
8
8
16
16
16
16
0
4
0
8
8
16
8
8
2
8
0
8
8
16
0
0
0
0
0
16
16
16
16
16
0
8
8
0
0
12
8
8
20
24
24
24
2
24
0
16
8
32
32
32
32
32
32
0
16
0
0
0
4
4
4
8
8
2
3
3
4
4
4
1
1
16
0
4
0
0
0
16
16
16
4
0
4
4
8
4
8
16
4
1
1
1
4
4
4
4
4
0
4
8
8
16
8
8
8
8
8
8
8
8
0
8
8
8
16
0
0
0
0
16
16
52
24
16
1
1
0
16
0
0
0
0
0
8
16
8
8
0
8
0
16
16
16
8
1
20
20
2
18
2
4
4
8
0
8
16
16
8
8
0
16
0
0
32
32
16
8
4
4
0
0
0
0
1
32
0
0
4
4
0
0
24
8
8
8
8
16
0
0
0
0
8
8
8
8
8
8
8
1
1
1
1
1
24
8
8
8
8
0
0
8
0
16
8
4
2
2
0
0
0
10
0
0
1
1
32
24
0
16
8
4
24
0
0
0
0
0
0
16
0
8
8
16
16
8
2
2
2
16
16
16
16
16
16
16
16
16
16
8
0
0
6
8
8
16
8
8
8
8
8
24
8
10
10
10
18
8
8
8
1
2
8
8
24
8
8
2
8
8
2
2
2
2
0
0
0
0
40
8
16
16
16
16
16
16
16
8
8
8
0
0
0
0
1
9
1
1
8
8
16
16
16
16
16
0
8
43
16
16
16
1
1
1
8
8
2
32
32
32
32
32
8
8
1
25
8
8
0
24
16
16
16
16
0
16
16
16
8
8
0
0
0
0
1
0
0
0
28
8
0
0
0
0
0
0
0
8
0
12
16
16
1
0
0
16
0
16
16
0
8
8
16
16
16
8
8
0
8
24
8
8
24
24
4
8
16
16
16
48
16
16
8
8
8
0
0
0
8
8
8
8
8
8
2
4
5
4
4
4
2
2
0
0
0
0
2
0
0
0
0
16
16
12
0
0
1
1
1
8
0
16
0
8
8
8
4
16
16
16
16
18
2
8
8
0
4
16
16
16
0
0
3
3
0
20
25
0
1
1
1
1
1
1
1
1
16
16
16
16
16
16
16
20
16
16
16
16
16
16
16
1
8
37
4
4
32
16
16
0
25
1
0
8
8
0
0
0
0
0
8
6
8
0
0
8
8
3
0
16
16
8
2
0
0
12
8
52
0
2
32
32
32
32
32
32
16
16
8
4
4
4
8
0
0
51
12
12
28
12
32
32
32
32
32
32
22
18
0
0
8
8
0
0
8
8
16
16
16
16
16
16
16
16
16
16
2
2
16
0
0
16
16
16
16
2
2
2
2
2
16
16
16
16
16
1
1
12
8
5
5
5
24
8
1
1
1
1
16
16
16
16
16
16
16
4
8
8
4
4
0
4
4
4
4
0
0
16
16
16
8
0
0
1
1
1
16
32
4
4
4
4
4
4
25
25
32
32
24
8
8
16
16
16
0
28
8
8
16
0
0
0
32
8
8
0
19
16
16
8
16
16
0
0
0
8
1
1
1
1
1
41
16
8
8
8
0
0
0
0
17
17
16
17
0
8
8
4
4
4
16
16
7
8
24
24
8
8
8
8
8
8
16
16
16
8
0
0
48
48
48
48
0
0
0
0
0
8
0
0
8
8
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
18
2
2
0
0
20
0
0
0
0
0
8
8
8
0
0
0
16
16
16
0
4
0
2
2
2
17
8
8
16
16
16
48
0
0
0
0
8
0
0
8
26
2
2
16
16
16
0
8
8
24
24
9
1
1
1
0
24
0
16
16
16
16
16
16
0
0
24
24
24
8
0
0
0
8
8
8
40
40
40
40
40
40
1
1
24
0
8
8
20
4
17
17
1
0
3
3
3
16
8
8
4
0
0
24
24
24
8
6
6
6
16
8
8
8
12
0
0
24
24
1
0
4
0
0
0
0
0
0
12
8
0
22
16
16
16
16
16
16
8
8
0
1
5
4
0
18
18
0
0
0
0
0
0
0
0
16
16
16
1
8
8
0
0
0
8
16
16
16
16
16
8
24
0
4
20
4
4
4
4
4
4
4
4
1
1
16
16
16
16
16
16
0
0
16
16
0
8
0
8
8
8
0
2
2
58
1
8
16
0
2
2
24
16
16
16
16
8
8
8
8
16
16
1
1
4
4
8
0
8
0
0
32
32
32
32
32
24
24
24
24
24
16
16
28
8
0
0
4
8
16
16
0
2
2
2
2
0
16
0
0
24
16
16
16
16
16
0
0
1
1
24
24
24
24
24
24
8
16
8
4
8
8
2
2
1
8
8
0
16
0
0
16
32
8
8
8
8
0
0
0
0
1
16
16
4
16
16
8
8
8
8
22
22
8
8
0
8
8
8
2
2
4
0
17
17
17
17
17
17
0
24
0
8
8
0
8
8
8
8
8
16
2
16
16
4
16
16
16
12
4
4
4
4
8
0
8
0
16
0
0
0
0
1
22
22
22
22
8
8
8
8
8
20
16
8
8
8
8
8
16
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
16
16
16
8
0
9
16
16
0
9
9
32
32
32
28
1
0
8
8
0
0
4
2
0
0
4
4
10
10
16
8
8
1
8
4
0
4
4
1
9
8
0
0
0
0
0
0
0
32
32
32
32
0
16
8
1
1
1
8
8
8
21
4
16
16
16
32
8
2
2
2
0
16
16
24
16
16
16
8
8
0
8
0
0
0
1
16
16
4
8
8
1
1
8
8
8
8
8
8
18
0
18
2
8
8
8
0
40
40
8
8
2
2
4
4
12
12
12
2
2
2
16
16
16
16
18
18
16
16
16
8
8
0
0
24
8
0
8
17
16
16
2
2
2
16
16
16
0
32
32
0
8
8
0
8
8
8
1
16
0
4
4
4
4
4
0
0
8
8
8
8
4
0
4
4
16
16
16
16
0
0
12
16
1
1
1
1
1
16
16
16
16
0
24
16
4
4
0
0
24
24
0
0
0
0
27
27
1
0
8
8
8
8
8
8
8
8
8
16
16
0
1
1
18
18
18
0
8
16
16
16
0
8
8
8
2
0
0
0
0
0
16
16
1
8
0
16
0
0
16
16
16
0
0
1
16
6
6
6
6
4
1
1
1
12
8
8
8
8
8
8
16
0
24
24
16
16
8
8
8
16
0
0
16
0
8
32
8
8
8
1
0
4
4
16
8
0
8
16
16
16
16
16
16
16
16
16
16
0
0
8
8
1
1
1
8
24
16
48
32
8
8
8
33
33
33
8
8
8
8
16
17
0
33
0
0
16
0
0
0
2
8
0
2
16
18
16
16
16
16
32
8
8
4
8
4
13
2
1
1
1
1
4
4
0
8
8
8
8
2
8
8
8
8
8
8
0
16
8
8
0
8
8
8
8
8
8
8
0
0
20
0
0
8
8
4
16
16
16
0
16
0
16
4
4
4
16
16
16
16
16
16
16
8
8
8
8
1
16
16
9
16
16
0
0
0
0
0
16
16
2
2
1
1
1
1
1
4
16
16
8
8
0
0
0
20
0
12
17
0
0
0
0
8
8
8
48
16
16
0
0
0
4
4
4
16
17
1
1
16
16
16
0
0
8
8
8
24
0
8
8
0
1
1
0
4
4
0
0
0
32
8
8
8
8
8
8
4
0
8
8
0
0
8
12
1
8
8
40
40
40
16
0
16
16
0
8
8
8
16
16
8
16
2
16
16
16
16
0
16
16
16
16
24
0
32
16
2
8
0
8
8
2
8
8
0
16
16
2
8
8
8
8
4
12
16
0
8
8
8
8
4
4
0
0
2
24
24
0
4
32
16
16
16
1
1
1
1
4
4
33
8
8
0
0
0
24
8
16
16
16
16
16
16
8
8
8
28
20
8
8
8
8
0
0
0
1
8
8
16
16
16
16
8
8
8
0
0
0
16
16
8
0
18
0
8
8
8
32
8
8
8
1
6
4
4
4
48
4
32
16
1
16
24
32
32
32
32
32
8
8
8
0
0
16
16
8
8
8
2
2
16
16
32
0
1
28
12
16
28
8
1
1
4
16
2
4
0
0
0
0
18
0
0
8
8
1
17
17
1
0
0
0
0
8
0
8
0
0
1
17
16
16
0
0
0
0
16
16
8
0
16
0
0
0
0
0
0
8
4
25
25
40
6
0
0
8
8
8
0
8
8
24
24
3
24
40
8
34
34
34
1
4
0
16
0
0
0
8
8
16
16
16
16
0
0
16
0
16
16
8
16
8
0
0
0
16
16
2
20
20
20
16
16
16
0
0
1
8
8
8
16
16
16
0
0
0
0
0
0
8
8
16
0
0
0
0
0
0
1
1
8
0
8
0
8
2
0
8
16
0
0
5
5
8
8
2
2
4
4
4
9
1
16
2
0
1
0
1
17
0
8
1
1
1
0
0
0
0
0
0
0
8
8
8
8
8
8
8
0
0
0
0
0
0
2
2
8
0
0
16
0
0
0
0
16
2
8
8
8
8
8
8
8
4
4
8
8
16
16
4
4
4
4
4
4
4
4
4
8
8
24
16
8
0
56
32
16
0
0
2
2
2
8
8
8
8
8
0
0
0
16
4
0
0
0
16
16
16
2
11
1
16
0
0
0
0
8
8
8
2
2
2
32
12
0
0
16
16
16
16
16
8
8
8
16
16
16
16
16
0
0
8
8
8
8
1
0
0
0
16
16
1
8
8
8
8
0
8
0
0
0
0
0
0
13
4
4
4
4
4
4
4
0
2
8
8
14
8
16
8
16
0
0
32
16
16
16
8
8
8
16
16
4
4
8
32
8
0
16
16
0
8
0
16
17
24
24
18
18
18
18
0
0
0
24
0
0
0
0
0
8
8
8
16
19
8
8
8
8
8
8
8
1
1
16
16
16
8
8
0
0
0
0
0
1
6
6
6
6
0
58
4
4
4
4
4
4
4
4
4
4
4
4
16
8
8
0
16
0
0
0
0
8
0
8
8
0
0
0
0
0
0
0
2
4
4
4
0
0
2
2
2
0
0
2
0
0
0
8
8
17
8
2
2
0
8
8
8
8
8
16
16
16
16
8
8
8
8
8
8
0
24
24
0
0
0
0
0
0
17
17
17
17
1
1
8
0
0
2
2
2
8
8
8
8
8
8
18
18
18
18
8
28
8
8
2
16
1
1
1
0
4
0
40
32
0
61
8
0
0
0
0
8
0
0
2
4
16
0
8
4
8
8
8
24
0
0
0
16
16
18
0
0
0
8
0
16
8
17
17
16
16
16
0
8
8
1
1
8
2
2
16
16
16
16
16
2
1
9
8
8
8
8
16
16
1
40
8
0
0
0
9
9
0
1
1
1
1
8
8
8
16
16
16
16
16
16
1
16
0
0
0
0
0
0
0
1
24
0
16
8
16
2
0
0
0
0
0
2
44
2
0
0
8
8
8
8
8
8
16
16
16
9
9
9
8
8
16
16
16
0
6
4
0
0
8
0
0
0
0
0
0
0
0
8
40
0
0
24
24
8
6
2
2
2
43
59
8
8
8
40
40
8
8
8
48
8
1
1
0
8
8
45
45
45
0
0
8
8
16
16
8
16
17
16
24
16
17
17
17
0
0
24
8
24
24
16
16
16
16
0
16
16
16
16
0
0
8
62
8
16
8
8
4
4
4
4
4
0
16
8
24
8
16
16
16
16
16
32
0
16
16
0
1
1
0
0
1
0
8
2
2
8
0
0
0
0
0
0
18
18
18
18
16
19
2
8
0
0
0
11
8
8
24
8
8
8
8
10
0
0
8
8
8
8
8
8
8
8
8
8
8
0
16
24
24
24
24
24
4
4
8
8
8
8
8
8
8
0
16
16
16
23
22
0
8
8
8
8
8
16
16
16
20
20
20
8
8
8
8
9
52
20
4
16
0
0
16
1
24
2
16
16
0
17
4
8
8
57
1
4
0
0
2
2
8
0
0
1
1
8
8
0
16
0
8
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
24
16
0
16
0
0
8
8
8
2
0
0
0
8
8
8
0
0
0
4
12
4
16
16
8
8
8
16
1
16
0
0
0
16
16
16
8
0
0
0
8
8
0
8
8
8
60
60
60
60
17
16
16
16
16
16
16
8
32
32
32
8
2
0
8
8
0
16
16
16
16
16
32
16
16
16
0
0
9
1
1
1
8
16
16
16
16
16
16
18
0
8
16
16
16
16
8
8
0
28
3
0
0
0
8
8
16
16
0
0
16
22
0
4
2
0
1
16
16
8
8
0
8
8
8
4
4
0
0
0
0
16
8
0
16
0
16
24
32
32
8
32
8
0
8
8
8
0
0
0
0
0
0
16
16
16
16
16
0
0
0
0
0
16
16
16
16
8
0
16
16
16
0
8
0
0
2
8
0
8
8
16
0
0
8
8
8
8
8
8
16
16
4
4
4
4
4
2
16
16
8
8
0
16
16
16
16
16
8
0
1
4
4
4
4
4
4
16
16
16
16
16
0
0
1
8
8
8
16
16
18
18
18
18
16
8
4
12
4
0
16
16
2
2
12
2
0
0
4
4
16
5
2
2
34
2
9
9
18
4
16
16
16
16
16
16
0
4
4
8
16
8
0
8
8
16
8
8
8
8
8
0
0
0
8
0
16
1
1
1
1
1
1
1
1
8
16
32
16
16
16
0
0
16
8
8
0
0
32
0
0
4
8
8
0
0
0
2
8
16
16
18
18
18
18
18
0
8
56
1
0
0
0
8
8
2
8
48
48
8
1
0
0
0
12
16
16
16
16
16
16
0
0
0
24
24
8
8
8
16
16
0
1
0
0
0
0
2
24
24
0
0
8
1
32
16
0
0
0
0
16
16
16
16
0
16
8
8
8
8
8
8
8
0
16
0
0
4
4
4
0
0
0
0
0
40
40
24
8
0
24
24
8
16
16
0
8
17
1
2
8
1
1
1
1
8
2
4
12
9
9
9
0
16
16
4
16
8
8
8
8
8
8
24
24
0
1
1
0
0
8
20
4
20
0
8
18
2
4
4
4
2
2
2
4
0
0
8
8
8
8
0
0
0
16
16
16
16
0
8
0
2
2
2
0
1
1
0
0
8
8
0
0
24
20
20
1
24
24
3
8
8
8
8
8
1
1
1
50
50
32
32
32
32
8
32
32
32
17
17
16
32
1
32
32
10
10
10
10
10
16
16
4
0
16
12
12
12
16
16
0
8
8
0
8
16
16
16
16
16
16
16
16
16
8
0
48
8
8
1
1
0
1
8
8
8
5
5
5
40
40
40
40
2
0
0
1
1
1
0
16
2
2
0
2
8
8
16
8
0
24
24
24
24
8
8
32
32
32
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
8
0
16
16
16
0
0
0
0
8
0
16
17
8
16
16
16
8
8
8
8
8
16
0
0
0
1
16
28
28
4
4
4
2
2
2
8
2
2
2
8
0
0
16
16
16
16
16
16
16
20
16
8
8
8
8
33
4
2
48
48
8
0
8
8
1
1
1
16
4
4
0
0
0
0
0
0
8
32
8
8
0
2
2
10
17
1
0
0
1
0
8
8
0
4
4
0
0
0
8
8
8
8
8
16
8
8
0
0
0
2
0
0
1
8
8
16
16
16
16
0
8
8
8
8
4
8
4
8
2
0
4
4
4
0
0
0
0
0
8
24
24
4
4
4
0
0
0
2
2
2
6
8
8
8
8
0
0
0
0
8
8
3
3
16
16
1
24
0
0
0
0
16
16
0
8
9
4
13
13
0
16
16
0
0
3
4
0
0
0
0
4
4
16
16
16
16
16
8
16
16
16
16
16
8
0
0
0
2
0
0
8
8
32
32
32
32
16
8
0
0
16
24
24
24
0
4
4
4
4
2
4
20
4
4
0
0
0
0
2
2
2
32
32
32
32
32
32
1
1
1
16
16
0
33
33
33
8
8
8
4
0
4
4
8
2
2
1
0
0
0
0
0
8
8
8
0
0
0
0
0
0
8
8
1
1
16
16
16
16
16
8
0
2
0
1
16
16
0
0
8
8
8
0
0
0
2
16
16
16
16
0
0
0
16
8
2
16
16
8
8
8
0
0
0
16
16
16
16
8
8
8
4
4
4
28
28
28
8
0
0
0
0
0
0
8
8
8
8
8
8
8
2
16
0
0
0
4
4
4
4
16
0
0
0
0
16
16
16
8
8
8
0
4
0
4
4
8
1
1
0
0
0
0
0
0
0
0
8
8
8
8
0
0
44
17
0
8
16
16
0
0
8
8
8
16
8
8
8
32
9
1
0
0
0
2
2
2
2
0
0
1
5
5
8
16
16
16
16
0
8
16
8
8
8
8
32
8
0
0
8
16
16
4
4
8
0
16
16
8
16
36
8
8
8
0
27
18
18
0
0
0
18
0
4
4
0
16
4
4
4
4
16
1
1
1
1
8
8
20
0
0
0
0
24
0
0
0
16
16
0
1
1
42
42
0
8
8
8
8
8
8
8
16
16
0
16
16
33
33
33
33
8
16
16
16
0
8
8
16
16
0
0
8
8
34
34
0
16
16
0
1
1
1
1
0
12
8
4
4
8
0
16
16
11
11
11
11
32
56
0
0
0
0
0
16
16
8
8
8
1
1
0
0
0
0
0
0
0
8
8
8
8
16
16
0
0
0
0
0
0
0
0
0
37
37
0
16
8
8
8
0
0
40
40
40
40
40
40
40
40
12
16
0
0
0
0
0
0
0
0
0
0
4
4
16
16
8
8
0
4
4
8
8
8
8
28
28
16
16
2
0
0
0
0
0
0
24
8
0
0
0
8
8
8
2
0
32
32
16
16
0
33
17
16
16
16
16
16
8
4
4
4
4
0
0
0
0
0
1
16
2
2
8
16
16
32
32
8
8
16
16
16
16
4
10
8
8
0
0
8
8
17
17
17
17
17
16
16
16
16
16
20
24
0
0
0
0
0
0
4
4
1
1
1
1
0
16
16
0
0
24
24
8
8
8
0
8
8
16
16
0
0
8
24
24
8
0
1
4
8
32
0
0
0
0
10
16
0
0
1
8
8
8
16
16
16
0
8
8
0
0
8
16
16
8
8
4
10
2
20
20
20
8
8
0
40
40
1
1
1
1
8
0
0
17
2
2
2
2
8
8
0
0
48
0
0
16
32
32
16
4
4
4
16
16
1
8
0
0
16
8
0
0
0
0
16
16
16
8
1
17
1
8
8
8
0
8
2
16
16
16
0
16
16
8
1
0
0
0
0
4
2
4
4
4
0
0
0
24
18
18
0
0
16
16
16
16
16
16
16
39
8
8
8
1
17
17
16
16
16
16
16
16
16
0
27
25
0
5
16
0
0
8
8
32
32
32
0
0
0
0
8
0
0
16
4
4
8
8
25
16
0
0
4
16
0
8
8
8
16
16
0
0
8
8
8
16
16
8
8
8
8
8
10
8
8
8
8
8
40
40
40
16
16
16
0
8
0
4
4
0
8
8
44
44
8
16
8
36
8
8
8
16
16
16
24
24
24
24
8
8
0
0
16
16
16
0
8
16
16
16
8
8
2
2
0
8
1
33
33
16
32
16
1
1
8
12
12
16
16
0
2
0
0
4
16
0
8
8
1
4
6
2
2
12
16
16
8
8
4
4
4
8
8
8
32
32
16
16
16
0
0
0
16
16
2
16
16
16
8
8
2
2
2
52
3
32
0
8
0
20
0
16
8
8
8
8
8
8
17
0
16
16
16
16
16
1
1
1
8
8
0
0
16
24
5
0
1
8
16
16
16
8
8
0
8
0
0
16
12
8
4
4
4
8
1
0
0
0
0
16
16
4
16
2
16
2
8
8
8
9
6
6
0
0
0
8
8
32
4
8
2
0
40
8
16
0
0
0
8
8
1
8
1
1
1
0
24
0
0
8
8
8
0
4
8
8
8
8
0
0
0
8
2
2
0
0
0
0
0
0
0
2
2
4
16
16
0
2
0
8
16
24
16
16
16
16
16
16
16
4
8
8
20
4
4
4
4
8
2
2
2
2
24
24
24
24
24
4
2
8
8
0
4
0
0
0
2
16
1
0
16
16
3
16
0
0
0
16
16
16
0
0
16
1
0
16
50
24
24
24
16
16
0
8
8
8
16
16
0
16
16
0
8
8
0
16
16
0
0
0
0
0
8
1
1
8
1
16
6
2
0
0
8
8
8
24
0
0
0
16
16
0
0
22
20
20
20
16
16
0
16
16
16
0
8
8
8
0
16
16
8
8
18
2
2
9
9
8
8
4
16
8
4
4
0
0
0
2
4
4
4
20
16
8
16
0
8
8
8
8
8
8
0
1
0
0
0
1
1
0
0
0
0
1
14
0
8
4
4
24
0
0
0
0
0
8
8
0
0
0
0
0
16
2
32
1
1
1
18
24
0
8
8
16
0
0
0
2
0
0
0
8
8
8
8
4
4
4
48
1
0
8
0
0
0
0
0
9
9
24
24
8
8
16
16
16
17
0
0
0
8
0
0
0
16
0
0
16
16
16
8
16
0
4
4
0
8
0
0
16
0
8
8
8
8
0
0
20
20
0
8
8
8
0
16
0
0
0
0
16
0
16
16
8
8
0
0
18
18
18
8
8
8
10
4
4
4
4
4
4
4
4
4
4
12
12
12
12
16
16
16
8
8
8
0
1
0
12
12
24
16
8
8
8
8
8
8
0
24
24
8
32
16
4
8
0
4
16
16
9
0
8
1
20
20
20
8
8
4
4
4
0
0
16
8
10
0
16
16
16
8
16
48
0
0
0
4
4
4
4
4
4
0
0
24
16
8
0
0
0
0
8
0
16
16
2
32
32
32
0
8
16
16
16
25
8
8
8
8
8
8
16
16
2
2
8
10
0
0
2
28
8
8
8
8
8
8
16
16
4
4
0
8
0
16
8
8
0
0
16
16
16
20
4
4
16
16
16
16
8
8
8
2
8
8
9
0
8
8
8
24
24
4
4
4
4
4
0
0
0
4
4
4
46
8
8
8
8
16
1
1
16
0
0
0
4
4
4
0
0
0
0
16
16
0
0
16
8
16
16
16
16
16
16
0
0
0
0
8
8
0
4
4
4
0
0
0
0
4
4
4
8
8
16
16
16
16
8
0
0
8
0
4
4
0
0
8
8
0
0
0
4
0
8
10
0
0
0
0
0
0
8
20
24
24
24
24
16
0
0
5
5
4
4
8
4
16
0
0
0
0
0
0
8
8
8
8
8
8
8
8
16
24
24
16
16
0
16
16
0
0
8
8
4
4
0
0
32
16
24
0
0
8
8
0
4
0
0
8
8
8
0
0
20
16
20
0
8
24
24
4
0
0
8
8
0
1
1
8
8
0
16
16
8
8
8
8
32
8
8
8
2
2
0
8
24
24
24
24
24
24
24
20
16
16
16
0
4
4
4
1
1
1
8
0
16
8
8
8
8
8
8
0
0
24
0
4
0
0
14
0
0
0
8
32
0
9
8
1
11
0
0
0
0
56
56
32
8
8
8
8
0
2
2
16
4
4
4
4
20
20
1
0
8
8
8
16
16
8
4
4
1
0
0
0
2
16
16
0
0
0
4
0
0
0
0
0
0
8
8
0
0
0
1
1
1
0
8
17
17
40
8
4
4
4
24
24
24
8
8
8
8
7
8
0
0
0
0
0
0
8
8
8
8
0
0
0
8
16
16
0
16
16
6
0
2
10
8
24
24
24
0
0
0
0
0
0
4
33
4
33
8
0
0
8
8
8
16
8
8
16
16
16
24
24
24
24
0
0
8
0
0
0
0
16
12
16
16
16
4
0
16
8
3
3
0
0
0
9
0
0
0
0
0
0
0
0
24
4
4
4
24
8
8
8
8
0
2
2
2
2
8
24
24
4
4
4
4
0
0
0
16
16
0
1
0
32
32
32
32
32
0
0
0
0
32
32
32
32
18
18
18
18
4
16
0
0
8
8
2
2
2
8
40
40
0
9
16
16
16
16
0
0
0
0
0
8
1
1
1
0
0
0
0
6
8
0
8
8
16
9
4
4
16
16
16
16
16
16
20
16
56
0
4
24
0
2
16
4
4
8
8
1
0
8
16
16
4
4
16
24
4
24
24
24
24
24
0
0
0
0
16
4
4
0
0
0
0
0
0
0
0
4
32
16
0
0
0
0
0
0
0
16
0
3
4
4
4
0
0
0
16
16
16
1
0
0
16
16
16
16
16
16
4
4
0
0
16
0
0
0
8
8
8
32
8
8
8
8
8
8
16
16
16
16
16
16
16
16
16
16
16
16
16
16
1
1
1
0
0
11
14
8
16
16
16
16
16
16
10
8
8
8
16
16
16
16
1
1
0
0
1
4
4
4
16
16
4
0
0
32
32
8
8
4
4
4
4
1
1
1
8
24
8
12
16
17
17
0
0
2
0
0
0
0
0
0
8
8
8
1
1
1
0
0
8
8
40
8
8
0
0
0
16
16
0
1
0
0
0
8
8
1
1
16
8
8
8
1
0
8
1
8
16
16
1
1
1
16
18
18
18
0
8
16
32
8
8
8
0
8
8
8
8
8
4
4
0
8
8
8
8
8
1
1
1
1
1
1
1
4
8
8
8
0
1
1
2
32
8
0
1
1
1
1
1
0
8
8
4
4
0
16
16
16
0
0
16
4
4
4
0
4
8
8
8
8
8
8
16
16
0
0
0
0
0
0
0
0
8
0
0
0
8
16
16
16
16
16
16
1
0
0
0
0
0
1
1
1
1
8
8
4
4
0
0
0
0
0
8
8
8
2
2
0
0
0
0
0
0
0
0
16
16
16
0
1
1
0
2
0
16
16
16
16
16
8
2
2
8
0
0
16
0
0
1
1
1
0
8
8
0
0
4
0
2
2
8
8
0
8
1
32
32
32
24
0
16
32
32
8
16
8
0
2
0
0
16
16
8
8
8
4
4
1
2
2
0
0
4
26
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
17
17
17
0
16
8
16
0
8
8
0
0
8
8
8
8
16
8
4
4
4
4
8
8
0
0
0
0
0
2
2
2
2
2
2
2
2
8
8
8
24
12
8
16
16
16
24
0
8
8
8
2
16
17
16
16
16
16
16
16
16
0
0
0
0
0
0
0
0
0
8
0
24
8
16
16
16
16
16
0
0
0
0
8
0
8
0
0
16
16
4
0
0
2
4
0
0
0
6
6
8
8
8
2
8
16
32
0
16
0
32
32
16
16
1
0
0
8
0
16
8
16
16
16
16
0
0
0
16
16
16
2
2
2
8
8
8
0
18
18
18
3
0
0
0
8
8
8
1
8
4
4
3
9
8
8
0
8
8
8
8
8
0
8
0
8
8
8
2
2
2
2
16
16
16
2
0
1
4
8
8
28
0
0
8
8
0
0
8
16
0
16
16
8
8
2
2
0
8
8
8
16
16
26
2
11
16
8
2
24
24
24
24
8
0
0
0
8
8
8
20
56
56
56
56
56
56
56
0
8
32
32
8
0
0
0
0
0
0
0
0
5
5
8
8
0
0
0
0
0
0
0
0
0
8
8
8
8
8
8
8
9
8
4
2
16
16
16
8
8
4
16
0
4
16
24
8
2
16
4
0
1
1
1
1
1
1
1
40
8
8
16
11
8
8
8
8
16
16
1
1
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
8
2
0
8
32
32
0
0
16
18
2
7
7
2
0
0
0
0
0
0
0
0
16
32
32
4
40
0
4
1
48
8
16
16
24
24
24
0
2
4
6
0
17
17
17
8
0
0
0
8
8
0
0
8
1
1
1
1
2
1
4
0
24
16
16
0
0
0
0
0
0
0
16
16
8
4
1
1
4
16
8
8
24
2
2
8
32
32
32
0
4
8
10
10
0
0
0
0
0
0
0
16
16
4
4
8
8
8
8
8
2
2
0
3
3
3
3
1
0
0
8
0
1
8
1
1
1
4
16
16
0
4
4
2
0
8
8
8
16
0
0
0
0
0
0
24
24
0
0
0
16
4
0
16
16
1
1
0
0
0
0
0
0
16
16
8
8
0
8
24
1
1
16
8
8
8
2
2
2
2
2
0
0
8
12
4
4
4
16
16
16
16
16
16
8
8
8
33
8
8
0
0
0
1
24
28
0
0
8
8
0
0
16
1
8
8
8
8
8
8
40
32
2
2
0
16
16
0
16
16
16
16
16
11
11
11
11
0
0
0
24
24
8
4
4
17
17
17
17
16
0
0
8
8
2
2
2
16
4
0
8
8
8
8
8
4
4
0
0
0
0
0
0
0
0
0
0
8
8
8
8
16
16
8
8
8
8
8
8
16
2
1
1
1
0
24
24
1
1
0
0
0
8
32
1
16
0
8
0
0
0
0
0
8
8
0
33
33
32
16
8
0
16
16
16
9
28
0
0
0
8
8
4
4
0
8
16
16
0
49
0
8
8
8
8
8
8
24
24
24
0
0
0
8
8
8
16
16
16
16
0
2
0
8
8
12
8
16
16
8
24
24
24
4
4
0
0
16
0
0
9
0
0
0
1
2
0
0
0
21
0
0
0
0
26
0
8
8
8
8
8
8
18
16
8
8
0
0
0
8
8
8
8
16
8
0
0
2
2
0
16
12
12
12
32
24
24
24
0
8
16
8
12
1
8
8
1
1
1
8
8
2
2
14
14
14
14
16
16
16
16
9
8
0
8
4
1
8
1
16
16
16
16
16
16
16
16
16
16
16
48
48
8
8
8
8
8
8
32
8
10
10
10
10
0
0
0
16
0
0
0
16
0
27
4
16
16
0
1
1
32
8
8
8
8
8
0
0
0
0
0
24
24
0
56
56
56
56
8
16
8
8
8
0
0
0
0
0
0
0
8
8
8
8
8
18
2
2
25
16
16
0
0
0
0
12
12
12
8
0
0
0
0
0
8
16
0
0
0
0
60
2
2
2
2
2
8
6
6
6
6
16
16
16
20
4
16
16
24
0
0
0
0
0
8
0
8
16
32
8
0
4
25
25
22
1
1
32
1
8
0
0
0
2
4
4
0
0
0
7
8
8
8
8
8
0
0
2
2
2
2
16
16
16
16
9
9
9
9
9
9
8
8
1
1
0
8
8
8
8
0
0
0
0
32
32
32
32
16
16
0
0
4
4
0
2
4
16
10
8
8
8
8
8
16
24
24
8
8
0
0
0
0
8
8
8
8
8
8
4
4
4
4
4
24
24
16
16
0
0
18
2
2
1
0
0
8
0
8
8
8
8
8
8
8
40
40
8
56
8
8
8
8
8
0
16
4
8
0
0
0
20
20
0
8
8
8
16
16
8
8
16
1
1
20
16
0
16
16
0
0
0
0
0
18
8
16
8
8
8
8
0
2
16
17
17
2
0
0
8
0
1
16
24
8
8
17
2
2
0
0
8
9
9
9
4
4
4
8
8
24
24
8
8
8
8
8
8
20
0
17
17
17
28
0
0
0
8
8
8
8
0
8
8
32
8
8
0
24
16
17
0
0
0
16
16
16
8
1
8
0
8
32
1
1
2
0
1
1
0
0
8
8
16
16
16
16
16
0
0
0
0
0
0
0
0
0
24
24
5
8
16
16
33
33
0
0
0
0
8
8
16
2
2
8
0
8
8
8
0
0
0
0
0
0
16
16
8
8
8
8
0
8
8
16
16
8
44
4
0
0
0
0
24
24
0
0
0
0
2
2
0
8
8
8
0
0
8
8
4
4
8
12
1
8
0
8
8
0
8
0
8
0
0
8
8
0
0
0
1
0
3
8
8
8
0
16
16
16
16
16
16
16
16
16
0
0
24
28
4
0
0
34
1
11
11
8
8
8
4
4
16
16
0
0
1
1
1
8
1
1
1
1
33
0
1
16
16
16
16
16
16
16
16
16
16
8
1
1
6
6
0
0
0
0
0
0
16
16
16
0
0
18
18
18
48
0
0
0
0
16
16
1
8
8
32
36
32
0
0
20
20
20
8
8
0
18
18
18
18
4
4
4
4
4
0
0
0
0
0
0
16
0
0
4
4
4
8
8
0
0
0
0
0
0
0
0
0
0
8
0
0
16
0
16
16
16
16
24
16
24
24
0
0
0
0
0
0
16
0
8
48
48
8
24
8
1
1
1
0
0
54
54
10
8
8
12
8
0
0
32
1
40
8
0
0
2
16
2
8
8
8
0
1
0
32
4
0
4
4
4
4
8
0
8
8
24
24
24
8
8
16
0
4
4
4
8
16
0
16
16
16
16
16
8
17
17
1
16
0
0
0
0
18
18
8
16
16
10
10
10
10
1
0
12
12
0
0
8
0
0
2
0
8
8
1
0
0
0
0
0
16
16
0
16
16
24
0
0
0
0
0
0
8
12
4
4
4
8
8
8
8
16
16
16
16
16
8
1
1
1
8
16
24
8
8
8
8
0
0
29
17
4
4
4
4
4
4
4
4
4
32
8
16
8
0
8
16
4
4
1
1
4
0
1
1
1
1
2
0
8
8
8
16
0
0
8
1
16
0
1
1
1
16
16
16
16
24
0
1
8
16
16
8
8
6
4
8
11
11
0
0
1
1
1
16
1
16
0
4
16
0
2
2
0
0
32
4
18
18
18
18
4
4
8
8
0
0
24
24
8
8
0
4
4
0
8
8
8
8
0
0
0
8
16
16
16
0
16
1
0
0
18
2
2
8
8
8
18
8
0
0
0
8
8
8
8
8
8
8
4
16
16
0
1
8
9
16
16
0
0
0
0
0
4
4
0
0
20
20
0
10
10
16
8
0
0
16
16
2
8
8
0
0
2
2
8
8
8
16
8
8
4
2
2
8
10
10
0
0
0
0
0
0
0
16
9
17
17
0
0
0
0
0
0
8
0
0
16
8
0
16
0
0
1
1
16
16
0
17
1
17
17
16
16
16
0
0
8
40
0
16
16
16
0
0
0
0
0
0
24
8
8
0
1
1
16
16
16
16
2
0
8
8
8
8
0
52
52
52
52
32
0
16
8
9
2
2
8
1
0
0
0
0
0
8
16
8
9
2
0
48
48
0
16
1
1
1
8
0
8
4
4
16
16
0
0
0
0
0
0
4
4
4
4
4
4
0
0
8
8
8
8
16
16
16
16
0
16
16
16
8
17
0
28
8
0
8
4
0
0
0
0
0
8
10
8
8
4
2
0
2
8
0
0
16
16
16
2
2
0
16
3
16
0
0
2
16
5
20
16
16
16
16
0
8
0
0
0
8
0
0
0
16
16
0
28
1
0
16
16
17
16
8
8
8
22
8
8
8
8
8
8
24
24
24
24
8
0
16
16
2
8
8
0
2
8
8
8
18
8
0
32
0
32
32
32
32
32
32
32
32
32
2
10
40
8
4
4
4
2
16
16
16
0
0
0
0
0
0
1
4
1
1
0
0
0
0
4
8
8
8
1
8
8
16
8
8
8
57
57
8
8
0
16
16
16
16
16
8
8
8
0
0
0
0
0
0
2
0
0
0
1
1
0
0
56
4
4
4
4
4
4
8
8
4
4
4
0
16
16
8
16
16
16
0
1
1
1
1
1
16
16
16
16
16
16
8
8
4
0
2
2
8
2
2
0
0
0
12
0
0
0
0
0
0
0
0
8
12
16
32
0
24
24
24
8
18
18
18
0
8
8
8
8
16
16
8
8
8
8
16
16
0
0
0
8
2
2
2
2
8
16
1
1
0
16
32
0
0
0
8
0
8
8
8
16
16
16
16
8
40
0
16
16
48
0
2
0
0
0
0
0
29
29
29
0
0
0
0
0
17
16
16
16
2
4
1
8
0
0
24
16
4
0
0
0
0
0
8
32
1
0
24
24
0
8
8
48
16
16
0
8
0
0
16
4
4
4
0
16
8
8
16
16
40
8
0
0
0
32
32
32
38
18
8
8
20
20
8
16
43
2
2
2
4
4
3
0
0
8
53
53
4
1
8
8
8
8
0
1
1
8
16
16
16
16
16
1
1
1
1
16
17
8
8
8
8
8
8
8
0
0
10
10
0
0
0
0
0
0
0
8
9
16
0
8
4
16
8
8
2
0
8
8
8
8
16
16
16
8
8
8
16
8
8
0
0
0
0
0
0
0
0
4
4
0
0
0
1
1
1
1
28
16
8
8
0
8
8
8
32
1
1
1
8
16
0
0
8
8
1
16
32
32
32
32
16
16
4
4
4
8
8
8
8
8
8
8
8
1
0
16
16
0
8
8
8
8
8
8
8
8
8
24
8
8
56
56
56
56
4
2
16
16
0
1
1
1
1
1
5
1
2
16
16
16
16
16
16
2
16
8
8
24
8
1
1
8
0
16
16
4
4
2
0
0
8
16
16
1
0
8
0
8
9
9
0
0
0
8
8
8
16
16
0
0
8
16
16
16
8
0
34
24
8
0
16
8
0
1
16
8
1
1
1
1
16
0
0
16
18
18
1
8
16
16
16
16
16
8
0
1
16
0
0
0
0
0
8
8
1
24
24
8
8
0
0
24
8
8
8
8
8
8
8
0
0
0
16
28
28
28
1
1
1
1
1
16
24
16
4
4
4
4
8
16
16
16
16
16
16
2
2
2
8
1
1
0
0
2
16
1
1
8
8
0
0
0
0
0
0
0
0
0
0
0
16
16
16
16
16
16
16
32
32
16
1
1
1
22
16
0
8
4
4
4
9
8
8
8
0
8
0
4
4
4
0
0
0
4
4
4
4
4
4
4
17
8
43
43
43
43
4
8
2
2
2
2
24
8
0
0
0
0
8
0
32
32
32
32
0
8
8
16
16
16
0
0
0
16
16
0
0
0
2
2
2
12
12
12
8
16
16
0
8
8
0
33
8
8
8
0
0
0
16
16
0
0
0
16
16
8
8
8
8
8
8
1
6
0
0
16
16
16
8
1
0
24
0
25
24
4
4
12
12
12
4
0
32
34
0
4
4
4
4
0
0
0
0
33
33
33
33
0
2
0
16
0
8
0
0
0
3
3
3
16
16
16
16
16
16
0
0
0
8
8
0
8
8
8
8
2
8
0
0
16
16
16
1
16
0
8
8
8
0
0
8
9
4
20
2
2
2
2
0
0
8
17
17
8
0
0
8
8
0
0
0
9
8
8
16
16
0
21
21
0
0
0
40
0
8
16
16
16
16
16
16
16
8
8
8
8
32
32
24
8
8
8
2
2
0
8
0
0
9
1
2
12
8
16
24
16
0
0
25
24
16
16
16
20
0
0
0
8
8
0
0
8
8
8
2
0
8
16
16
16
16
16
16
16
0
0
0
12
0
0
0
16
16
16
0
0
8
8
0
16
16
24
16
16
0
2
2
8
2
2
2
2
2
0
0
0
8
12
16
40
32
32
32
0
0
16
16
8
32
8
4
18
2
0
0
0
40
24
24
1
0
16
2
0
4
4
4
4
32
12
6
4
4
0
16
44
32
0
33
8
16
16
0
0
5
4
1
0
0
48
0
0
0
1
1
32
32
8
20
16
16
8
8
8
8
8
2
8
0
0
4
8
0
0
24
16
0
0
4
4
0
0
16
16
2
2
16
16
16
1
0
0
0
8
0
0
24
24
8
8
8
0
0
8
8
16
8
16
0
0
0
8
16
16
16
8
16
0
0
16
0
0
0
0
0
8
8
0
0
1
1
17
8
8
24
0
0
0
8
0
0
8
16
6
2
1
1
32
0
0
0
0
0
0
8
4
1
1
1
0
32
32
32
32
32
32
8
16
16
16
16
32
32
32
8
8
8
8
0
0
0
16
16
16
20
20
20
0
4
0
2
2
2
4
8
8
8
8
0
8
8
0
0
2
2
2
8
0
8
8
1
1
1
32
25
25
25
25
25
25
25
8
16
16
16
0
16
0
2
2
8
8
8
8
0
9
9
1
0
1
1
0
0
8
2
2
2
20
20
16
16
16
28
0
16
16
16
16
16
0
0
8
4
4
4
4
4
4
4
16
8
8
0
0
0
8
8
24
8
16
16
0
16
16
0
32
32
32
32
0
1
4
16
40
40
40
1
1
1
0
8
8
8
8
0
0
0
0
0
8
8
8
8
8
8
8
16
16
16
16
16
24
24
0
0
0
0
16
16
8
8
8
2
2
2
0
0
16
16
1
16
16
16
16
16
32
32
8
0
0
1
1
1
1
0
38
38
1
1
8
8
8
8
17
1
1
1
16
8
16
0
0
4
16
8
0
0
0
0
0
0
0
4
0
2
0
1
0
16
5
8
8
1
1
1
1
10
1
17
1
16
8
8
8
3
1
1
1
2
1
1
1
1
0
0
0
0
8
0
0
8
8
8
0
0
0
8
8
8
0
0
0
0
0
0
16
16
16
16
16
0
16
16
8
8
0
20
20
37
37
0
0
0
0
32
0
0
0
0
0
0
17
0
16
16
2
7
2
2
2
1
16
24
8
8
16
8
0
16
0
8
4
4
4
0
1
1
4
17
17
0
0
2
2
2
2
4
4
0
16
8
0
0
2
16
0
0
8
0
0
8
8
8
1
1
0
8
8
4
16
16
1
8
16
0
24
8
0
0
16
16
16
8
8
16
16
16
16
16
1
0
0
0
2
16
16
1
1
1
1
0
0
2
2
9
4
16
16
16
16
16
8
8
8
2
2
2
16
0
2
0
0
0
0
0
4
4
4
4
4
4
16
8
33
8
0
8
2
2
2
2
16
2
2
0
0
0
0
8
8
0
6
6
8
0
0
0
0
0
0
0
16
16
16
16
16
8
8
8
0
4
4
4
16
4
8
8
2
2
0
16
32
32
8
1
1
8
8
8
0
0
8
12
4
8
8
16
16
16
0
3
8
0
2
2
0
0
0
0
0
0
8
0
8
8
8
4
2
4
4
8
0
50
50
8
0
1
12
8
8
24
8
8
0
0
0
16
16
16
0
4
4
4
4
4
4
8
0
16
16
0
16
0
8
16
4
0
0
2
16
0
16
16
24
0
0
1
1
1
1
16
16
1
16
24
24
4
0
0
0
16
16
16
4
4
4
8
8
4
16
8
8
8
8
8
8
8
8
8
8
16
16
8
8
8
8
8
0
24
1
8
8
8
4
8
8
3
8
17
17
2
8
4
4
0
2
2
2
16
16
16
16
0
0
0
1
0
16
8
16
16
0
0
16
16
16
8
8
0
4
24
4
2
6
16
16
16
4
4
0
8
8
8
8
1
1
10
0
0
1
0
0
1
1
25
0
1
1
1
1
0
16
4
16
16
8
0
0
0
1
16
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
0
0
8
8
8
32
0
4
4
4
4
4
16
16
16
1
0
1
1
0
0
0
16
1
0
8
8
17
17
17
17
16
16
4
4
4
4
4
16
0
0
4
0
1
0
0
16
16
16
16
16
16
0
0
0
8
8
8
8
8
16
16
16
0
16
16
0
16
16
16
16
0
0
0
0
0
0
0
0
0
1
1
8
8
8
8
8
8
8
8
6
6
1
1
8
8
16
8
8
8
0
4
16
8
0
0
0
32
32
16
2
2
0
0
8
4
16
16
0
0
0
8
8
8
8
5
5
0
8
0
8
8
0
4
4
4
4
4
8
8
2
0
16
16
0
24
24
24
24
16
16
16
8
8
24
24
0
0
0
0
16
16
16
16
16
8
8
16
8
8
16
16
4
8
1
4
0
9
16
16
16
16
0
4
8
8
24
16
16
0
0
2
2
2
2
2
32
16
4
2
2
1
1
8
0
0
0
0
16
16
16
0
1
4
38
0
0
0
0
4
4
4
0
1
16
25
8
16
16
56
0
0
0
0
16
16
24
17
17
17
0
0
8
8
25
1
1
1
1
1
8
8
16
0
0
0
0
16
16
16
16
16
1
0
24
26
0
0
0
0
0
2
2
33
0
0
0
0
32
0
8
9
0
0
2
0
8
1
0
20
32
8
8
8
0
8
8
0
0
0
0
0
0
4
0
32
32
32
32
32
32
32
32
32
32
32
4
16
16
0
0
8
1
8
8
16
0
0
0
0
8
8
8
8
8
8
8
0
16
24
24
16
0
4
4
4
24
16
16
4
4
4
8
8
8
4
4
4
4
4
4
4
4
8
24
8
0
0
0
0
0
16
16
2
2
8
0
0
0
4
4
4
4
16
0
8
8
25
25
8
8
6
6
6
6
8
16
16
16
8
8
2
8
8
0
20
20
20
16
8
0
33
33
33
17
17
1
0
0
4
4
4
4
0
0
0
8
8
8
16
0
0
0
18
1
17
4
0
0
0
0
8
8
35
35
0
24
8
0
0
0
0
8
8
0
16
16
0
32
33
49
2
2
0
8
1
8
0
0
8
8
8
8
0
16
0
0
2
8
8
8
8
0
0
0
0
0
16
16
0
16
16
4
16
16
1
1
1
1
1
16
16
0
16
0
0
0
1
1
1
1
0
4
4
4
8
20
8
16
0
0
8
8
8
16
8
8
4
4
4
32
32
32
32
32
8
8
8
8
0
18
18
18
8
32
32
8
16
1
1
16
4
4
16
16
0
0
4
0
0
8
20
16
20
16
0
0
0
8
0
1
32
32
32
32
0
0
4
4
16
16
0
0
8
8
8
0
0
16
8
8
8
8
8
0
16
16
16
16
1
1
1
0
1
0
0
0
0
24
32
32
16
8
8
8
16
16
0
8
4
16
16
16
16
2
2
4
0
8
2
2
8
8
8
17
0
8
8
1
8
8
8
24
0
8
0
16
6
16
8
8
8
8
0
0
0
0
0
0
0
0
8
8
8
1
16
4
1
0
1
0
0
0
0
0
0
0
16
16
16
1
0
8
8
13
13
4
4
4
32
32
0
0
0
0
0
0
0
0
0
0
0
49
49
0
0
0
0
0
0
48
16
8
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
8
0
0
1
1
8
8
8
16
16
16
16
0
2
32
32
16
0
9
1
1
16
16
8
16
16
8
32
32
32
4
8
0
0
32
32
32
4
4
8
8
0
0
8
8
8
16
16
8
12
12
12
10
8
9
8
9
16
4
6
4
0
50
50
0
0
0
8
8
16
16
16
0
16
16
2
2
0
0
0
4
8
8
8
24
2
2
2
0
0
0
0
0
32
32
32
32
0
0
0
10
1
1
1
8
8
8
0
4
0
1
0
16
0
8
2
1
1
1
8
16
5
2
18
32
32
32
0
1
0
0
0
40
40
2
2
0
0
8
0
1
1
1
1
32
8
8
2
2
24
8
4
4
4
32
32
32
32
0
8
0
16
16
16
16
16
0
16
16
16
16
0
16
8
8
8
16
16
16
16
0
8
8
8
8
8
32
32
24
24
24
24
0
16
0
0
16
14
14
0
8
0
16
0
0
16
16
16
16
16
16
0
1
1
1
1
0
8
8
0
16
8
8
0
0
0
0
0
0
0
49
0
16
16
16
16
16
0
8
24
1
1
1
1
28
51
16
16
16
0
16
8
16
16
0
0
0
0
1
0
0
1
1
1
16
0
8
8
0
32
25
25
25
12
4
0
5
4
0
0
8
8
0
17
16
16
16
16
16
16
16
0
8
8
8
8
8
8
56
16
16
8
8
16
16
16
16
16
16
0
8
8
8
16
16
16
16
24
24
24
24
24
24
24
16
16
16
16
16
16
16
16
8
16
4
4
4
4
4
16
8
0
0
0
18
17
17
0
0
16
16
4
4
4
1
32
8
17
17
17
2
14
16
32
32
32
0
8
8
16
16
2
1
1
1
8
8
32
8
8
4
8
8
8
4
4
17
16
52
0
1
1
8
24
8
8
0
0
8
8
8
8
8
16
1
16
16
4
4
4
0
0
16
16
1
8
0
0
48
32
32
32
16
16
16
32
32
32
26
26
26
0
0
0
0
0
0
0
25
0
0
0
0
0
0
0
4
4
4
16
8
8
2
2
8
24
32
24
8
0
10
8
8
8
0
0
8
8
8
8
8
24
8
16
0
8
0
0
16
8
4
13
8
0
0
16
16
16
16
8
8
8
8
16
16
0
1
8
4
0
8
16
1
1
1
0
0
16
16
32
16
8
16
8
0
0
2
23
0
8
16
16
0
0
4
4
4
8
0
8
8
8
16
16
16
0
8
8
8
8
8
0
0
2
0
16
0
2
2
0
2
2
2
2
0
0
0
24
16
16
0
0
0
16
0
1
1
1
8
8
8
8
8
8
16
4
4
0
0
0
16
16
8
0
0
9
9
9
9
9
9
16
16
2
16
0
8
1
1
1
8
18
8
8
8
0
0
8
4
16
16
8
8
8
8
8
16
16
16
16
8
0
0
0
0
16
0
16
16
8
8
8
40
0
8
8
7
7
0
0
0
4
4
4
8
8
8
8
8
8
16
8
8
8
16
16
16
0
0
24
24
24
24
1
17
17
17
17
16
2
16
4
8
8
8
0
4
4
17
16
8
0
0
4
4
4
0
16
1
0
2
16
0
0
0
16
16
25
8
8
0
0
32
16
17
17
0
0
8
8
8
8
1
1
1
4
4
4
8
0
20
1
1
16
16
0
16
0
8
13
8
8
8
8
8
8
0
0
0
0
0
8
2
2
8
0
8
8
8
8
0
0
0
16
16
8
24
8
24
24
0
8
8
8
0
0
16
0
8
0
16
16
16
16
0
0
0
0
0
1
2
16
16
2
0
0
0
4
32
8
16
16
16
16
16
16
16
16
16
0
0
8
8
8
2
2
2
2
4
4
4
4
0
0
0
11
0
2
2
2
2
0
8
8
8
8
0
6
24
2
0
0
16
0
52
52
52
52
0
0
1
0
0
0
0
24
8
0
32
32
0
2
0
16
3
3
3
16
16
0
0
0
16
16
16
8
8
8
8
1
1
1
1
1
1
8
8
16
8
8
8
16
8
8
8
8
8
8
9
0
24
24
1
1
16
0
2
2
2
8
8
8
8
8
8
1
0
34
38
26
0
8
8
0
0
8
8
0
17
0
8
8
1
0
0
4
4
0
8
0
0
0
0
1
0
2
2
2
2
0
0
8
32
32
0
0
0
4
8
0
4
4
16
4
4
4
8
8
1
1
8
0
0
0
1
1
8
8
8
8
8
16
22
22
0
0
8
0
0
0
0
0
16
16
0
0
0
24
24
24
16
16
4
0
16
0
8
16
16
16
8
8
8
8
16
8
2
2
2
2
56
8
8
16
0
16
16
1
18
18
16
16
16
16
16
16
16
4
8
2
2
0
8
0
7
0
8
2
16
8
0
16
0
4
4
8
8
16
16
16
0
0
16
8
8
0
0
0
8
8
12
12
8
0
8
8
8
16
8
8
8
8
8
8
24
16
0
0
0
8
0
8
1
1
16
16
16
8
8
8
1
1
1
0
0
0
8
1
0
0
0
0
0
16
16
16
16
16
16
16
0
1
1
8
16
16
56
24
18
0
0
16
8
8
2
2
6
0
0
0
0
0
0
16
8
0
16
20
0
8
0
0
22
16
16
16
0
0
24
16
24
16
16
16
16
16
8
0
0
4
4
4
8
16
8
2
2
2
0
0
8
0
4
4
4
16
16
16
16
16
1
8
16
16
0
0
8
8
8
8
8
4
4
8
8
18
6
16
0
2
8
8
8
0
0
0
16
16
16
2
2
0
8
8
8
0
8
4
0
16
48
32
32
32
32
32
18
0
0
0
0
0
4
21
0
8
8
8
16
24
8
16
16
16
1
16
8
8
8
8
0
0
8
8
0
1
0
0
0
0
0
8
1
4
4
4
1
1
0
16
16
16
0
0
0
2
0
0
0
0
21
4
4
16
0
2
5
10
1
1
0
16
16
8
8
8
8
1
16
24
16
8
16
16
8
8
8
8
8
8
8
16
16
16
16
16
16
16
16
8
8
8
2
17
17
0
0
0
16
16
16
16
2
16
16
8
1
1
20
20
2
16
16
16
16
8
1
1
1
1
1
0
32
1
20
20
16
16
4
12
12
8
8
8
8
24
19
2
16
16
16
0
0
4
4
0
0
8
0
8
2
2
0
0
9
0
0
1
1
0
2
0
0
8
8
8
8
16
16
16
1
1
1
1
1
0
18
16
16
16
16
0
1
1
16
16
0
0
0
4
0
0
0
0
8
1
1
20
16
16
16
8
8
8
19
0
24
20
16
24
0
0
0
0
0
41
41
8
8
8
8
0
26
0
0
0
4
4
16
24
24
24
24
24
24
1
1
8
8
0
32
32
32
0
8
8
8
8
8
0
0
0
4
4
30
30
4
16
16
26
26
26
0
6
6
6
6
6
6
0
0
0
0
0
0
0
0
0
0
0
0
1
16
8
0
8
4
8
8
8
4
4
16
0
16
0
0
0
0
0
0
0
0
0
4
4
0
0
0
8
8
8
8
8
4
8
8
20
20
20
8
8
4
4
4
4
4
4
2
2
2
9
9
8
8
32
16
16
16
16
16
16
16
16
16
16
16
16
16
2
0
0
0
0
16
0
0
2
2
2
2
16
16
16
52
2
0
16
0
8
8
8
8
8
16
16
0
0
0
8
16
16
4
4
8
0
0
0
0
16
16
16
16
4
4
16
0
16
1
2
8
16
8
4
4
8
8
8
32
32
32
32
12
12
8
0
0
0
0
16
16
16
16
4
4
0
1
1
1
8
32
20
20
0
0
0
4
4
4
9
9
9
18
18
18
0
0
0
16
0
0
16
16
8
16
16
24
24
1
0
0
8
0
0
0
0
8
8
24
8
8
2
2
2
2
2
1
1
8
8
9
8
16
2
2
2
2
8
8
8
8
25
0
8
16
4
4
0
16
16
16
16
8
1
1
0
0
0
0
0
16
32
0
16
16
0
0
0
0
16
0
0
0
16
16
16
8
8
8
8
0
20
16
8
2
0
0
1
16
0
0
16
16
16
16
16
0
16
16
8
8
16
16
0
8
8
0
0
0
4
4
4
4
8
8
32
32
32
32
32
8
16
16
16
0
16
16
0
0
0
42
8
8
8
2
2
40
0
0
1
1
12
16
0
0
0
8
0
0
0
16
0
8
8
8
8
0
0
0
0
0
0
4
4
4
8
8
2
2
16
16
16
1
1
1
0
0
0
0
16
16
16
0
0
8
8
0
0
8
8
0
0
2
16
16
16
16
1
1
1
1
1
1
1
1
1
1
1
1
1
16
16
16
16
0
0
16
16
25
4
12
16
16
0
0
1
16
1
4
4
16
16
16
0
0
0
8
8
1
1
20
0
0
0
8
8
0
0
8
4
0
0
0
0
3
8
0
0
0
0
0
0
0
8
0
0
4
4
4
1
1
1
0
0
0
0
0
0
4
8
28
8
0
8
8
0
0
0
0
0
16
0
0
0
8
16
8
0
0
0
16
16
4
4
0
0
0
0
2
18
18
0
0
0
8
8
20
20
0
8
1
1
18
32
32
8
0
26
26
0
6
8
8
8
0
0
0
8
8
16
34
34
0
2
12
2
1
1
0
0
2
26
2
0
1
8
8
8
8
8
0
0
8
2
2
2
4
8
8
8
27
27
27
32
0
0
0
8
0
0
0
10
10
8
16
0
16
16
0
8
0
1
16
0
0
16
0
8
16
16
0
0
0
8
8
0
0
0
0
0
0
0
0
4
16
8
8
8
8
0
0
2
2
2
2
2
2
24
24
24
24
24
1
1
1
1
1
1
1
8
8
8
8
8
32
8
8
8
0
2
10
8
0
32
0
16
16
16
32
32
32
32
0
16
16
16
16
16
0
16
16
16
0
8
4
12
12
16
16
16
26
8
0
0
0
0
0
0
0
8
8
8
8
0
0
8
8
28
4
4
4
24
0
1
3
3
0
0
0
1
16
0
0
16
8
1
1
1
1
1
1
16
0
0
0
1
1
0
0
0
0
0
0
0
25
0
0
8
0
0
0
8
8
8
8
18
2
2
0
6
2
2
8
0
0
0
0
0
8
0
0
0
16
0
0
0
0
0
8
16
16
16
9
1
1
16
16
16
16
8
8
8
8
0
8
8
16
16
16
1
6
32
32
0
0
0
0
16
24
0
0
0
0
0
16
2
0
0
0
8
8
8
16
16
16
16
0
0
16
8
8
8
8
8
8
16
16
0
32
32
8
8
8
16
16
1
4
16
16
0
0
8
10
10
0
8
16
16
16
0
0
0
0
0
0
0
1
0
16
24
16
16
16
16
16
16
16
2
2
2
2
0
1
8
8
8
8
2
2
0
0
0
4
4
4
8
8
0
0
8
8
1
1
0
0
24
24
16
16
16
0
0
0
0
0
0
0
0
0
3
3
3
3
24
16
16
8
16
0
32
0
0
8
8
8
0
4
4
4
16
16
16
0
0
0
0
0
16
8
34
34
16
16
8
8
8
0
0
0
0
12
12
12
12
16
16
16
16
16
16
16
8
8
0
0
0
0
8
8
16
16
16
16
16
16
16
8
0
8
8
1
16
4
0
12
0
8
4
4
4
8
8
8
0
0
0
0
8
8
0
8
0
0
0
0
0
28
8
1
1
1
8
5
5
8
0
0
0
0
0
0
8
0
16
0
0
16
16
0
0
0
0
12
24
0
0
0
2
8
8
8
28
1
1
8
0
16
8
8
8
24
0
6
16
32
20
16
16
8
8
8
4
4
8
8
0
1
16
1
16
16
32
32
32
8
8
8
8
4
4
16
16
8
4
8
33
16
8
0
16
16
16
4
7
7
7
0
0
8
8
0
12
0
16
8
16
0
0
0
16
2
0
0
0
0
8
0
8
8
0
16
0
0
0
10
10
10
10
10
16
8
4
0
0
1
1
8
8
8
8
8
8
0
0
16
9
9
0
0
16
16
16
5
5
8
8
8
8
0
0
0
0
0
0
8
0
16
8
8
8
8
8
1
0
0
0
16
16
16
16
16
16
16
16
16
16
16
4
4
24
24
1
1
8
42
42
12
0
0
16
16
16
16
0
0
0
0
4
4
0
0
2
8
8
0
8
8
8
8
8
8
8
8
8
0
18
0
8
0
0
16
25
25
25
25
25
4
0
0
0
8
8
8
24
8
8
0
8
4
4
4
4
1
1
16
8
4
4
0
0
16
0
0
0
16
16
0
0
16
16
0
0
0
16
16
16
16
16
8
16
16
0
0
0
8
24
8
8
8
0
0
0
32
8
8
8
8
0
1
1
0
0
0
0
4
8
8
8
16
0
1
1
1
1
16
8
8
32
0
0
4
4
4
4
4
4
4
16
16
8
8
8
16
0
1
8
0
0
8
8
8
8
8
16
0
0
0
0
0
0
0
0
0
0
16
16
2
2
8
8
10
16
9
0
0
0
8
8
8
16
16
16
8
8
44
44
16
0
2
2
0
0
8
8
0
0
2
2
0
0
0
0
8
1
1
1
1
1
0
0
32
32
18
18
2
0
0
16
8
4
16
16
16
0
8
8
8
8
8
16
16
16
16
16
0
1
16
1
8
8
0
0
0
0
0
8
8
1
3
1
8
1
0
0
0
0
16
16
16
16
16
16
0
8
17
17
0
0
0
4
2
8
48
48
32
16
16
0
0
0
0
8
16
16
0
21
0
0
0
0
16
0
0
8
8
8
8
8
8
4
4
4
4
4
4
4
0
8
8
8
8
5
16
16
32
8
16
0
0
0
8
8
8
4
4
0
0
0
16
16
16
8
8
8
18
8
8
20
20
57
49
0
0
1
1
1
17
20
8
8
52
4
16
16
16
16
16
16
16
16
16
16
2
8
0
8
16
16
32
0
0
0
16
0
4
0
0
0
0
0
0
0
0
16
1
1
1
8
20
20
20
20
20
0
0
16
16
0
0
0
0
1
8
16
16
16
0
16
16
16
16
16
16
16
0
45
16
16
16
8
0
8
8
16
16
8
8
32
8
8
8
8
8
1
16
16
0
16
1
1
2
2
2
17
17
1
0
16
8
8
17
16
16
8
8
8
16
8
8
16
16
0
0
0
0
8
0
0
0
0
0
24
8
8
0
0
0
0
0
0
4
24
16
0
0
0
8
8
0
16
16
2
2
2
2
2
2
0
0
16
16
0
0
0
0
16
16
8
8
8
8
16
16
0
0
16
1
0
0
0
16
0
0
0
0
8
8
0
0
0
8
8
0
2
17
4
8
24
16
16
16
18
16
1
4
8
8
4
4
16
16
16
24
48
0
24
0
0
4
8
46
32
32
32
0
0
16
1
16
16
16
16
16
16
16
16
16
0
0
0
0
16
24
0
8
0
0
0
0
0
8
8
0
4
0
8
8
8
8
16
0
8
8
8
8
8
8
32
0
0
0
0
0
0
0
18
2
8
0
0
0
0
4
1
16
13
40
32
0
24
16
16
16
2
8
4
8
8
8
0
8
0
8
8
0
0
0
0
0
0
0
0
5
0
0
1
1
1
1
1
1
8
0
32
32
32
0
0
0
16
16
16
16
2
2
2
2
2
2
8
8
0
2
16
16
16
16
8
8
8
8
32
32
32
0
0
0
8
16
16
0
0
0
8
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
33
33
33
0
48
0
8
8
1
8
16
16
9
8
8
8
12
4
4
2
2
0
0
0
0
40
40
40
0
16
16
24
24
24
8
24
8
18
18
8
8
8
8
0
8
8
8
4
4
22
4
4
4
4
4
16
16
0
0
0
24
0
1
1
1
1
1
1
8
0
16
16
16
1
0
32
32
8
8
16
16
1
1
1
1
1
1
1
0
0
0
0
0
0
8
8
0
17
0
0
8
24
24
50
58
0
0
4
4
4
4
4
4
4
14
6
8
8
16
0
16
16
8
8
8
8
0
10
16
8
2
2
8
8
8
8
8
8
8
8
8
8
8
8
4
4
4
4
0
0
0
4
4
4
4
0
0
0
16
16
16
0
16
16
0
0
8
8
8
8
8
0
5
5
5
18
18
18
2
2
2
8
16
4
8
8
16
8
16
16
8
0
0
0
0
0
0
0
8
1
1
1
1
1
8
8
8
20
32
32
0
16
18
8
8
0
0
0
26
16
25
2
0
8
8
8
8
8
8
8
8
0
0
0
0
0
0
40
6
8
9
9
9
9
0
1
1
1
1
0
0
0
4
4
4
16
16
16
0
4
4
2
2
0
2
24
24
8
4
1
8
8
8
1
1
17
16
0
8
8
8
8
8
8
8
8
8
0
0
0
16
24
24
8
8
39
32
16
8
0
0
0
0
0
9
9
9
9
16
8
8
8
1
1
1
0
0
0
8
16
16
16
8
8
1
1
0
24
24
24
16
16
0
0
41
41
41
2
2
1
1
1
1
0
0
1
0
0
16
12
12
12
12
16
16
16
16
8
4
0
0
0
0
4
4
4
4
1
1
0
0
0
0
0
0
0
12
1
1
0
0
0
0
0
0
0
0
0
0
0
0
2
2
16
8
16
14
2
4
4
0
16
0
0
0
16
0
0
0
0
0
8
8
8
16
16
16
8
8
16
0
4
4
32
32
32
0
4
4
0
0
0
0
0
8
28
4
0
0
4
4
16
1
0
4
4
24
24
4
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
1
40
40
8
8
9
1
1
0
0
0
0
16
16
16
16
2
16
16
0
0
0
16
16
16
16
0
8
8
8
8
8
0
4
15
15
15
24
24
0
56
8
8
16
48
48
20
20
20
12
12
12
8
0
0
0
0
16
8
0
0
0
0
8
8
8
8
2
16
16
16
0
4
8
8
0
2
16
16
2
2
0
0
4
16
16
0
24
24
8
0
0
8
8
8
16
16
0
0
20
20
20
0
0
0
0
8
24
16
24
0
8
30
8
8
8
0
0
2
2
8
8
8
8
8
8
4
2
8
0
0
0
2
4
0
0
8
20
10
16
16
16
0
26
2
2
2
16
16
8
0
0
0
0
0
0
2
2
8
16
16
16
8
0
8
8
8
0
0
33
0
8
8
12
12
16
16
0
0
0
0
0
0
0
2
2
4
8
0
8
16
20
16
8
8
8
8
8
0
41
16
0
8
8
8
8
32
16
16
0
24
8
16
2
20
22
4
0
8
8
8
1
8
8
8
24
24
8
8
8
8
8
16
0
8
8
8
4
4
4
0
16
2
2
2
2
0
16
16
16
16
16
16
16
16
0
1
1
1
1
16
16
1
8
8
8
24
24
8
8
8
8
8
8
40
40
28
16
32
16
16
8
8
24
0
8
16
16
16
16
16
0
0
0
8
8
0
0
0
0
18
4
4
8
8
0
20
20
20
16
16
16
16
8
1
1
2
0
0
0
0
20
2
2
2
16
16
17
17
8
0
2
2
0
8
4
4
4
16
0
16
16
4
4
0
8
0
0
0
16
1
8
8
16
16
16
8
16
16
3
16
16
0
16
16
1
1
1
0
0
0
0
0
0
0
16
16
0
0
0
0
48
32
8
8
8
8
8
0
16
0
0
16
0
0
0
16
8
8
8
8
0
16
8
0
0
1
1
1
16
8
8
8
2
8
8
8
8
2
2
8
0
32
0
8
16
0
8
8
8
8
8
16
16
16
16
0
8
0
0
0
12
12
1
1
9
16
1
1
1
1
1
16
16
0
34
1
1
0
0
8
8
8
4
4
0
16
16
16
16
4
8
8
0
0
0
2
2
0
0
18
2
2
2
16
16
0
32
32
0
0
0
2
2
16
16
16
0
8
4
4
4
8
8
6
6
0
32
32
32
0
0
0
0
0
0
0
24
24
24
24
24
24
24
4
4
4
4
4
16
0
16
8
0
0
0
57
57
16
16
8
0
0
0
4
0
0
4
4
0
8
0
0
3
9
8
8
0
8
32
32
32
16
16
1
8
1
0
16
16
16
16
4
4
8
0
0
0
0
0
0
8
16
16
16
16
16
2
2
2
2
2
2
0
2
2
2
8
16
16
16
16
0
0
8
8
2
2
8
8
8
8
8
24
8
16
16
16
16
16
16
16
0
8
0
0
2
0
4
4
8
8
0
0
8
8
8
0
8
8
2
2
2
1
1
1
1
1
4
8
16
0
0
0
24
8
8
16
16
16
16
2
0
16
8
8
8
8
8
32
0
0
0
0
0
0
8
8
8
1
1
1
1
1
8
8
8
8
1
1
0
0
0
0
8
16
16
16
16
16
16
16
16
16
16
20
4
16
16
0
0
0
0
1
8
8
8
8
0
0
0
0
8
8
16
1
1
1
0
0
0
8
16
16
16
0
8
1
1
1
1
1
1
2
1
1
8
8
8
8
4
8
0
0
0
8
8
8
4
17
17
17
0
8
0
24
16
16
16
16
8
8
1
1
1
0
0
0
0
16
16
16
0
1
8
24
16
16
4
1
1
1
2
2
2
4
8
8
8
0
8
5
2
2
9
8
0
16
16
8
4
8
16
2
32
10
0
0
16
16
16
2
2
3
24
24
24
24
16
16
0
8
0
0
0
0
0
0
0
4
0
0
0
0
0
0
16
16
1
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
4
8
10
10
8
0
0
8
8
60
0
16
0
0
0
0
0
0
0
0
0
0
0
18
8
16
16
8
8
8
8
8
0
0
1
1
16
1
1
32
32
32
32
16
0
0
0
0
8
8
40
32
8
0
0
0
0
0
0
16
0
0
7
4
24
24
12
0
8
8
8
8
8
8
4
4
4
8
8
8
8
8
4
0
4
4
0
0
0
0
0
8
8
1
1
0
0
0
0
1
1
8
20
16
8
8
8
8
17
16
16
16
16
24
8
8
8
4
16
16
16
0
8
8
8
8
8
1
16
16
16
24
24
24
0
0
0
0
0
0
16
16
16
16
18
8
16
16
16
8
8
0
0
0
0
16
8
8
8
8
8
0
0
0
18
0
0
0
0
24
1
1
0
0
32
32
32
1
8
8
17
17
17
1
0
16
2
8
8
8
8
8
8
2
2
8
8
0
16
16
16
16
8
4
8
8
4
4
8
8
8
8
8
24
8
0
35
35
34
34
34
34
4
16
16
16
8
8
8
8
0
0
4
4
0
0
16
2
16
16
8
16
2
2
2
32
0
0
0
16
45
37
16
16
16
16
16
1
1
0
0
0
4
0
0
1
10
10
10
10
10
0
8
24
24
0
0
0
8
8
8
8
8
0
0
0
0
0
0
1
9
16
0
0
16
0
0
0
8
8
16
16
16
0
0
0
8
8
8
8
8
2
0
1
0
0
16
16
8
1
1
1
0
0
16
4
4
24
2
4
4
0
24
19
19
19
19
19
19
19
19
19
4
8
8
0
16
8
0
0
0
8
0
8
16
16
16
16
16
8
4
4
4
1
1
2
2
0
0
0
0
1
1
58
58
20
16
8
26
8
16
2
2
0
8
8
8
0
0
0
0
8
8
8
8
8
16
16
16
40
40
26
8
16
16
9
1
1
1
16
16
32
16
4
4
4
16
16
8
8
8
0
0
8
8
8
8
8
8
8
8
8
24
8
0
0
0
0
0
20
8
8
8
8
16
8
8
0
8
8
8
4
16
16
4
4
8
12
8
8
8
8
8
8
0
0
0
0
0
0
0
8
8
8
0
0
0
8
1
1
0
8
8
8
8
16
16
16
16
16
16
16
16
4
8
0
8
17
0
16
16
16
16
16
16
16
0
0
0
0
0
0
8
8
0
11
11
11
8
8
8
24
16
16
16
16
4
4
4
16
16
16
16
0
0
8
8
8
8
8
32
0
1
1
1
1
1
1
1
1
1
1
0
0
8
8
8
8
8
8
8
8
8
1
0
0
0
0
0
0
8
0
16
48
48
48
48
0
0
16
8
8
24
24
0
0
33
33
0
0
8
8
8
16
0
9
9
9
32
1
32
0
0
0
0
0
0
0
16
16
0
0
16
16
16
16
28
8
8
0
0
10
2
8
1
1
0
0
1
0
2
0
0
0
8
8
8
8
32
0
0
0
16
16
8
0
0
0
1
32
16
16
2
8
8
16
16
16
16
16
0
8
8
0
0
0
0
0
4
4
4
4
0
24
0
0
0
33
10
10
10
10
4
4
4
4
17
8
8
8
8
2
16
16
0
8
24
24
24
16
16
16
16
16
0
8
8
8
1
0
0
16
16
0
0
0
0
16
16
0
0
8
16
16
0
4
4
0
0
32
32
32
32
6
6
6
0
0
0
0
27
32
0
16
8
1
1
1
1
1
8
8
12
12
12
12
12
8
30
30
30
30
1
0
0
0
0
0
2
24
24
24
24
1
1
1
0
1
1
1
1
16
16
16
8
0
8
1
8
8
16
16
0
0
1
1
16
8
20
2
16
0
8
8
8
8
2
0
0
0
0
0
0
17
16
16
16
16
16
16
2
2
2
1
1
0
16
0
0
0
0
8
8
8
8
0
33
32
8
16
16
8
0
0
0
0
0
0
1
20
4
0
16
16
16
16
16
16
0
0
0
0
0
0
0
0
16
16
16
0
8
0
0
0
0
16
24
24
0
0
0
0
0
0
16
2
16
2
0
0
8
8
17
17
0
2
8
8
8
8
0
4
4
4
8
8
8
0
6
6
6
6
24
24
24
4
8
8
16
8
8
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
8
8
8
8
8
8
8
0
0
16
0
2
1
0
16
16
0
0
16
0
0
0
0
8
8
1
0
8
8
32
8
8
8
8
0
0
0
20
16
8
8
8
16
16
16
16
16
16
8
2
8
8
8
8
16
0
8
16
16
16
16
16
0
0
0
0
0
8
8
22
22
22
22
22
22
16
16
32
8
0
16
0
8
8
8
8
16
0
28
8
24
0
0
0
0
0
0
26
26
26
9
1
1
1
2
2
2
16
4
4
4
8
8
8
10
8
8
0
0
0
0
0
0
0
8
0
8
8
0
4
4
4
8
8
0
0
8
8
16
16
16
0
0
0
0
1
16
8
0
16
16
16
16
16
4
4
4
1
0
0
4
2
2
0
17
17
0
0
0
0
0
0
0
0
24
24
0
16
16
8
8
8
8
0
40
8
8
16
16
0
0
0
16
16
0
8
0
1
1
0
0
0
8
8
8
8
16
16
16
16
2
57
0
24
24
0
0
16
16
16
2
2
0
0
0
0
0
0
0
0
33
8
8
0
0
16
16
8
4
8
48
16
4
4
4
4
32
0
8
16
16
16
6
6
0
8
8
0
6
16
26
0
10
10
16
16
0
0
0
16
16
16
8
0
0
0
8
8
8
16
18
2
2
2
8
8
8
8
0
0
1
1
16
16
16
16
16
0
8
8
0
0
0
0
16
0
0
8
16
17
0
8
8
0
8
1
1
1
1
8
0
2
16
0
16
16
16
0
16
21
21
21
0
0
8
8
0
0
0
0
0
0
0
0
0
0
8
0
1
1
21
2
10
8
8
0
8
2
10
2
0
0
0
0
0
0
8
8
4
4
4
8
8
16
16
0
20
0
4
0
0
2
2
16
16
18
16
0
8
8
8
16
12
25
12
12
20
24
1
0
8
16
16
0
0
0
0
0
8
16
32
32
12
4
8
40
8
1
8
16
40
8
4
8
0
0
0
0
0
1
1
0
1
0
0
0
16
16
16
16
16
16
16
4
4
32
32
32
8
0
4
0
8
8
3
34
34
4
4
0
4
16
16
2
2
0
16
16
16
16
0
0
1
16
4
4
4
24
0
0
16
32
32
8
16
16
0
0
2
8
16
8
8
16
16
16
16
1
32
4
4
4
4
4
4
4
8
19
1
16
16
16
20
20
16
0
0
0
8
8
8
8
0
0
4
24
24
8
8
0
0
8
0
0
0
8
16
0
4
4
4
4
4
4
32
32
32
32
0
0
0
8
4
4
0
0
0
0
24
16
16
25
25
25
8
8
0
32
9
40
41
0
0
0
1
28
0
20
0
0
0
2
2
2
0
0
0
0
8
0
0
0
0
8
8
0
0
0
1
0
8
8
0
8
8
4
8
8
0
2
2
16
4
16
24
4
0
4
21
21
8
8
8
16
16
0
20
20
20
24
8
8
8
1
12
12
12
12
0
0
0
0
18
18
2
0
1
16
16
8
0
8
8
8
8
0
8
2
1
2
6
6
6
0
0
0
0
0
0
16
16
16
16
0
0
8
4
4
0
16
16
0
12
12
0
0
20
8
8
8
8
16
16
16
4
4
0
2
32
0
0
3
16
16
8
8
8
2
0
32
32
32
16
16
0
8
16
16
8
8
0
8
8
8
8
4
4
16
8
8
0
2
8
4
4
32
8
16
16
0
8
4
4
0
0
16
17
8
8
16
8
0
2
2
2
16
16
16
16
16
16
16
8
8
0
0
0
0
2
8
0
0
0
0
16
2
2
2
2
2
0
8
8
10
22
22
0
0
8
24
8
8
1
0
16
0
0
8
4
4
0
16
0
8
8
0
8
8
0
0
0
1
1
0
4
4
16
16
16
16
16
16
16
1
8
0
0
24
8
8
8
0
0
0
0
0
8
4
4
4
0
8
0
0
8
1
3
16
16
8
8
8
8
16
16
16
16
32
20
20
4
8
8
8
8
0
0
5
8
8
8
8
8
8
1
8
16
1
0
8
8
16
8
8
8
4
6
0
16
8
8
8
8
8
0
0
0
8
8
16
0
40
24
24
1
16
40
8
1
0
0
17
17
17
16
16
24
4
0
5
16
16
16
16
16
16
16
2
2
2
2
2
2
2
16
16
16
4
2
28
0
0
8
8
0
0
32
32
28
24
16
16
16
16
8
16
16
32
32
32
0
0
20
2
0
2
2
0
8
8
8
2
2
0
0
0
0
0
8
32
32
32
8
4
16
16
16
8
4
4
16
16
16
16
16
0
8
8
8
24
24
24
24
8
0
2
2
0
0
1
1
4
4
1
8
8
1
8
8
8
8
0
0
0
0
8
8
8
8
8
8
8
0
0
0
0
8
1
16
1
8
8
8
8
0
8
8
0
18
18
0
20
16
4
8
16
4
2
2
2
0
16
0
0
0
0
0
0
0
0
0
16
8
8
8
32
32
0
1
3
3
6
16
16
16
1
0
0
8
8
8
8
8
5
8
8
8
8
8
16
8
16
8
0
0
8
8
0
16
8
16
16
4
0
0
8
8
8
8
8
16
16
4
4
4
0
0
40
40
40
40
40
0
0
1
1
8
32
0
8
8
16
2
2
0
0
3
3
8
0
0
1
0
0
0
0
16
16
16
16
2
0
8
8
24
8
1
0
0
8
0
2
2
2
2
2
2
8
8
8
8
8
8
24
8
8
8
8
8
8
0
16
18
16
2
0
2
2
2
2
0
49
0
38
38
8
8
16
16
0
0
0
1
1
16
16
32
17
2
16
8
2
8
8
8
16
16
8
8
4
4
4
4
16
16
16
16
16
16
8
4
1
16
24
1
25
16
4
4
4
4
4
0
2
2
41
8
8
0
1
1
9
16
8
8
8
8
8
8
8
8
8
2
0
0
0
0
0
0
0
0
16
16
16
16
16
16
0
8
0
0
0
16
22
8
2
2
8
8
8
4
8
8
16
16
0
0
0
0
0
8
0
0
0
0
0
0
0
8
24
28
8
1
0
8
8
8
0
0
0
6
31
4
4
8
8
16
0
16
32
8
8
0
16
16
16
8
8
32
0
4
8
0
0
8
12
12
24
24
0
8
8
32
16
16
4
4
4
4
4
0
16
0
0
0
8
0
0
8
0
16
4
4
48
28
4
4
8
16
16
4
16
1
1
0
0
0
0
1
1
8
8
16
16
8
0
17
17
17
16
16
16
0
0
1
1
0
0
0
0
4
0
0
8
8
8
8
8
8
8
0
0
1
1
1
0
0
4
4
4
8
8
10
8
0
0
0
16
8
0
0
0
0
0
0
0
0
0
0
16
2
2
2
0
4
8
8
8
8
8
8
0
0
0
0
0
0
16
0
8
16
2
2
21
0
0
16
24
8
0
0
0
0
0
8
2
4
4
4
4
4
4
3
3
8
8
0
0
0
2
8
8
16
16
8
8
8
8
16
20
16
16
16
16
8
8
8
8
24
0
8
16
16
16
9
9
9
9
0
0
0
26
0
8
0
16
16
8
8
0
0
0
16
11
8
2
0
0
0
1
1
32
32
0
0
0
0
4
4
4
4
0
0
18
18
18
8
1
16
16
16
16
16
16
16
8
0
0
0
8
0
20
16
16
17
25
24
8
16
0
1
17
1
8
0
0
0
0
0
8
24
16
16
8
8
8
8
8
16
16
32
32
32
16
16
0
0
0
0
12
16
8
1
1
1
0
4
4
1
1
2
2
2
0
2
8
8
8
16
0
1
0
0
0
18
18
16
2
2
2
0
0
0
8
8
16
8
8
8
8
8
2
16
8
8
16
16
8
16
2
2
2
2
0
16
16
0
8
0
20
0
0
0
16
8
8
24
24
8
16
3
0
1
1
0
16
8
8
8
1
16
16
0
0
0
0
32
8
0
0
8
0
0
0
0
2
16
16
16
8
8
16
0
0
0
16
16
4
17
16
0
0
0
16
16
0
0
0
0
24
24
0
0
0
1
1
0
48
48
48
2
0
0
16
16
16
16
16
8
16
0
0
0
1
8
8
8
48
20
20
8
8
8
8
8
0
0
0
0
0
0
0
36
36
16
0
0
0
0
16
8
0
2
8
0
0
0
0
16
16
16
16
0
0
9
9
9
0
8
0
0
0
32
32
32
32
16
1
1
1
8
8
0
0
16
16
0
0
8
0
0
2
2
0
0
1
16
8
8
8
8
8
16
8
8
1
4
0
22
0
0
8
0
0
0
0
16
0
0
0
0
0
18
16
16
16
8
40
0
1
0
0
0
16
16
16
16
16
16
0
0
8
24
16
8
0
0
1
40
8
8
28
16
0
16
16
16
8
16
16
16
0
4
52
52
2
8
8
8
8
3
3
3
0
0
8
16
16
16
8
8
1
1
1
1
0
0
8
16
0
0
0
4
4
4
4
0
0
0
0
16
8
8
8
8
8
8
16
16
16
0
0
0
1
8
8
8
16
16
0
4
0
8
8
0
0
16
16
16
0
0
8
16
16
16
1
8
0
8
8
8
16
16
16
0
0
0
0
0
0
1
1
0
9
0
0
0
8
0
32
32
4
4
4
17
8
24
8
8
8
8
8
8
8
8
8
8
16
16
16
16
24
24
16
0
16
16
16
16
16
16
16
6
0
0
0
16
16
16
0
0
33
16
16
16
16
8
1
1
32
32
32
8
8
8
0
0
4
0
8
8
16
0
0
0
2
16
16
16
16
0
2
8
8
20
16
0
16
4
32
0
0
0
0
0
0
0
0
2
2
2
8
0
0
0
8
8
0
16
17
4
4
4
16
56
32
32
33
8
8
0
16
16
0
1
1
1
0
0
8
8
8
16
8
0
0
0
2
2
1
1
1
0
6
0
4
8
8
0
0
0
0
0
0
1
1
1
4
16
8
8
16
16
16
16
16
8
24
1
0
16
16
16
16
16
16
16
8
2
0
24
24
8
8
0
16
16
8
8
8
17
10
10
2
16
8
16
16
0
16
16
16
16
32
16
16
8
9
9
8
8
4
0
0
4
8
8
8
4
8
0
0
8
0
16
8
8
0
8
8
8
0
4
9
16
16
0
0
0
1
1
8
8
8
4
8
20
20
3
8
8
8
24
8
22
22
22
1
1
1
8
32
12
0
0
1
1
1
1
2
2
0
0
0
12
28
0
0
0
0
19
4
0
4
2
24
24
24
24
24
24
24
24
24
8
4
1
1
16
16
0
0
20
16
0
0
8
8
8
8
28
28
16
0
32
32
0
0
0
8
0
0
8
8
0
0
0
9
16
1
8
8
0
0
0
16
16
8
16
24
16
0
0
0
32
8
0
0
0
0
0
0
0
0
0
0
1
16
0
0
35
35
4
0
0
16
4
16
0
16
2
18
2
2
2
2
8
8
8
8
16
16
16
16
32
32
32
16
16
16
1
1
1
1
1
0
1
1
8
8
4
4
4
0
16
16
16
8
8
8
8
0
8
8
4
8
8
8
16
8
8
8
0
2
2
2
2
8
8
0
0
0
16
16
0
0
8
8
8
2
0
0
8
8
1
32
32
32
32
16
4
0
8
1
1
0
0
0
0
0
0
0
48
16
0
16
0
0
31
8
24
1
0
24
24
16
0
16
16
16
16
16
16
16
0
8
8
8
8
8
0
8
8
8
3
0
0
0
0
0
0
0
0
8
8
8
1
1
0
0
0
17
8
0
2
2
8
0
0
8
8
8
8
32
48
16
16
16
16
24
8
16
16
32
32
8
0
16
16
16
0
0
8
0
8
16
22
0
0
0
16
16
8
0
0
0
0
0
0
0
0
0
4
4
4
2
8
8
8
8
0
0
0
3
3
3
3
3
3
4
4
4
16
16
4
16
4
0
0
16
16
0
0
0
0
0
0
0
0
8
32
8
8
0
0
24
8
8
0
0
9
1
25
2
0
16
16
8
0
8
32
32
26
8
8
8
8
8
2
0
16
0
0
4
8
16
16
0
0
0
12
0
0
16
0
0
0
32
32
32
16
16
16
16
32
2
16
16
24
1
1
1
1
1
0
1
57
1
0
8
8
16
16
16
16
8
0
32
4
4
4
4
1
0
0
0
24
16
40
16
16
16
16
16
16
16
16
16
0
4
4
0
16
1
1
1
4
0
8
0
16
16
24
0
4
0
0
0
0
0
8
8
8
8
16
1
0
16
16
16
18
18
8
10
16
16
16
16
4
4
4
4
4
4
4
0
0
0
2
2
2
4
0
0
0
8
16
16
8
0
32
0
8
8
8
8
0
0
8
8
8
8
3
3
0
0
0
8
24
8
8
0
0
0
0
8
1
1
16
16
4
8
39
39
39
8
8
8
47
16
16
0
0
0
8
1
5
5
5
5
4
4
4
0
17
8
8
8
8
0
4
4
4
24
2
2
0
24
16
0
0
0
17
17
0
33
0
0
0
0
0
0
8
12
8
1
8
4
4
0
0
0
0
8
8
8
8
8
8
8
0
1
9
8
0
0
0
0
16
16
16
0
8
0
16
8
8
16
16
16
16
16
0
0
8
8
8
8
8
16
0
0
8
0
0
16
16
32
32
32
0
0
0
16
16
4
4
0
8
8
8
8
4
8
8
8
0
8
20
16
0
8
2
0
16
8
16
16
16
16
0
0
8
8
8
8
8
20
20
8
16
9
1
1
8
8
8
1
0
1
8
0
9
16
16
16
2
2
16
16
0
16
16
16
16
16
0
0
16
16
16
18
18
8
8
16
0
24
24
0
0
0
0
8
1
0
0
0
0
16
16
16
1
4
0
0
0
8
8
0
0
8
8
8
0
0
8
16
16
16
0
0
8
16
16
16
0
0
0
1
8
20
0
0
0
0
8
8
0
0
0
16
4
4
4
4
4
2
16
1
1
1
1
1
8
8
16
0
0
0
8
0
10
16
16
16
8
1
0
0
2
2
2
2
2
0
16
16
16
16
16
8
0
0
0
0
0
0
0
0
16
0
4
8
16
16
0
16
16
16
17
17
32
16
16
16
0
0
0
0
16
16
0
0
24
1
16
16
8
1
0
16
16
16
16
32
32
40
32
0
8
8
0
0
0
8
0
8
0
2
16
0
2
8
8
16
32
32
32
16
0
0
16
0
0
0
0
0
24
24
24
24
0
8
8
8
8
8
8
2
0
0
0
0
0
0
8
8
8
8
0
0
1
1
1
3
3
18
16
0
1
1
8
8
8
8
8
8
8
0
0
8
8
4
8
8
8
32
32
16
48
8
8
8
0
16
8
0
16
0
8
8
8
8
0
0
8
8
1
1
1
18
56
56
32
0
0
28
32
32
32
32
4
0
8
0
0
1
1
1
1
48
16
0
8
8
8
8
8
16
16
16
0
0
16
16
2
2
2
8
16
16
8
0
0
8
8
4
1
4
8
8
0
6
0
33
33
33
0
8
8
8
8
8
8
8
8
8
8
8
16
16
24
24
8
24
4
8
8
8
8
8
0
2
2
8
8
2
0
0
0
16
8
16
0
0
0
0
16
16
16
16
8
8
16
16
8
8
0
16
16
8
1
8
0
0
0
8
16
9
9
8
8
8
0
0
0
0
24
2
24
24
24
16
16
16
16
16
16
16
0
0
0
0
4
4
4
8
0
8
8
8
8
8
8
8
16
27
16
16
8
0
0
4
4
0
0
0
0
0
24
0
2
2
33
0
0
0
0
8
8
16
8
0
0
1
0
0
0
8
0
8
8
2
2
8
16
0
16
16
6
33
8
0
0
8
0
0
0
16
8
8
8
8
8
8
4
0
8
8
8
8
0
0
8
8
0
0
8
8
8
4
4
8
8
8
0
0
2
0
1
1
1
0
16
16
16
16
0
8
1
32
32
0
8
8
8
0
0
8
8
2
8
8
8
0
0
8
8
0
8
8
4
8
4
4
0
32
16
16
8
16
16
16
4
4
4
4
4
0
16
8
8
8
4
8
0
8
8
8
8
8
8
0
1
1
1
32
32
0
16
16
32
8
0
0
18
4
4
4
4
0
0
0
5
5
5
16
0
16
16
16
16
0
1
1
0
8
8
16
16
16
0
8
8
8
17
17
16
16
16
0
0
0
0
0
0
0
8
8
0
0
0
0
0
4
4
0
4
24
0
0
8
4
4
8
16
42
0
0
0
4
2
0
0
0
8
8
8
0
0
0
0
16
16
16
24
24
0
0
0
0
0
0
0
0
0
0
0
8
16
0
0
2
2
1
16
16
16
1
0
16
16
16
16
8
0
0
16
8
0
0
0
0
8
8
4
8
8
10
8
8
8
1
1
1
2
16
16
1
8
8
8
8
8
0
8
16
8
0
0
16
5
16
16
16
1
2
2
2
2
2
2
8
20
16
16
16
1
1
4
4
4
4
16
8
8
8
0
0
0
4
8
8
8
2
2
0
8
8
4
16
32
32
32
32
32
8
4
1
0
0
16
16
8
31
8
6
4
28
24
0
16
16
16
16
2
2
2
2
1
1
1
1
1
8
2
2
2
2
0
0
8
0
16
16
22
22
21
17
0
0
0
0
0
24
4
4
16
1
9
9
0
0
1
1
1
1
1
0
0
17
17
4
16
4
8
0
24
24
24
24
24
0
0
16
2
6
6
6
8
8
8
8
8
8
8
8
8
2
8
0
0
0
8
1
18
18
0
0
0
0
8
8
0
16
0
16
16
16
0
16
8
27
16
8
8
12
8
8
8
16
8
8
8
8
32
32
8
0
0
0
0
0
10
2
8
16
16
0
4
4
8
0
0
1
1
16
16
16
16
16
16
16
16
16
16
8
8
24
24
0
8
1
1
1
1
1
1
8
8
8
0
0
0
16
16
16
16
16
0
0
0
8
8
0
16
16
12
8
0
0
0
0
0
0
8
8
8
8
0
8
8
4
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
8
0
0
0
0
0
0
16
0
0
0
16
0
2
2
8
8
0
8
8
0
2
0
4
16
4
4
0
3
3
0
0
24
0
0
0
24
8
8
8
8
8
8
1
0
1
16
16
16
0
4
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
16
32
0
0
12
12
4
4
0
0
8
8
4
12
2
2
2
2
24
24
16
18
18
18
16
8
8
8
0
0
8
8
0
22
1
1
1
16
7
7
7
7
24
24
24
16
16
16
32
0
0
8
8
26
8
8
8
8
8
8
2
20
4
8
8
8
8
8
32
36
0
16
16
0
0
57
0
0
2
4
4
4
8
1
1
1
14
0
1
1
1
16
16
0
8
8
8
3
3
8
8
8
48
8
8
0
18
18
18
18
18
0
0
8
8
8
0
4
0
0
16
24
0
0
0
0
0
0
0
1
1
8
8
8
8
16
16
16
2
2
4
2
4
8
8
8
8
8
24
24
16
24
4
18
8
0
0
0
4
3
0
0
8
8
8
0
1
2
2
2
16
16
16
16
16
8
1
0
2
0
0
0
0
8
8
8
8
8
2
2
2
2
2
16
16
0
9
0
0
0
0
0
1
1
0
8
0
0
0
0
16
16
8
8
1
1
8
16
8
16
0
0
1
0
8
8
8
0
8
24
24
24
16
20
0
0
0
8
0
8
16
0
8
8
16
53
49
8
8
8
0
0
0
8
12
8
5
12
12
16
2
2
40
8
8
8
8
8
0
0
0
0
0
0
0
8
8
8
0
24
24
8
8
8
8
2
2
2
2
6
8
3
0
0
0
0
16
0
7
7
0
0
4
4
0
0
0
16
16
4
4
4
2
0
16
16
16
0
8
16
16
0
8
8
8
8
8
8
8
8
15
15
16
6
8
0
16
16
16
16
16
16
16
16
16
8
0
0
0
0
0
0
0
16
24
24
8
16
16
2
24
16
16
16
8
8
8
8
8
8
0
0
0
8
8
0
0
0
0
0
1
1
0
4
4
8
0
0
32
2
2
2
8
32
32
3
3
2
2
2
1
1
1
1
8
0
1
12
12
16
6
0
32
32
32
0
8
0
0
16
24
16
8
0
16
16
8
8
0
0
0
1
1
1
8
0
0
24
24
16
32
1
0
16
1
1
24
24
2
0
0
0
2
16
16
32
48
16
8
8
0
0
0
0
0
0
0
8
8
8
8
0
1
1
4
4
8
0
0
16
8
8
16
16
16
1
1
1
0
0
4
0
0
0
0
16
16
16
17
16
16
16
4
4
4
4
4
4
28
8
0
0
0
0
0
0
0
0
8
0
24
24
24
0
0
8
8
0
22
0
0
0
1
0
0
0
8
8
0
24
11
16
16
24
24
8
16
16
8
0
0
16
20
20
16
16
16
4
0
24
24
0
0
16
2
32
8
8
8
1
0
0
0
0
0
0
0
8
8
8
16
16
16
8
12
0
8
0
0
0
16
16
0
0
0
0
0
4
0
2
2
2
2
2
16
24
0
39
39
0
16
16
16
16
16
2
2
4
4
4
4
4
4
8
1
4
4
0
18
18
8
0
2
0
0
8
8
1
1
0
17
8
8
24
0
0
0
0
0
0
0
8
1
1
0
0
0
0
0
0
8
24
0
0
16
16
16
0
4
4
0
0
8
61
16
16
0
0
0
4
4
8
16
8
1
1
1
8
16
4
4
4
4
4
8
8
26
6
6
6
8
8
0
21
21
0
1
1
8
8
1
4
0
8
4
16
16
16
24
0
0
16
2
1
1
1
0
8
8
8
8
8
0
8
8
8
12
0
0
4
4
0
0
0
0
0
16
16
16
16
16
16
16
0
0
1
1
24
8
8
8
8
8
0
8
1
1
8
16
32
32
0
0
8
0
0
0
0
8
0
1
4
4
1
1
8
0
16
16
8
8
8
16
16
0
2
2
2
8
18
18
24
24
0
0
0
6
0
4
4
0
16
0
16
16
16
8
8
8
8
8
8
8
8
8
8
0
0
2
0
26
26
10
2
0
0
0
0
0
8
8
0
0
16
16
1
1
8
8
8
24
16
0
1
1
0
8
10
8
0
8
8
0
0
4
1
1
1
1
1
8
8
8
0
0
0
1
1
1
24
0
16
16
0
0
0
2
16
16
8
8
8
8
0
8
8
4
18
16
34
34
34
16
16
0
10
0
1
1
1
1
8
1
8
2
2
16
16
1
8
8
1
1
1
1
1
16
8
8
28
16
1
8
8
8
8
25
0
17
17
16
16
16
16
16
1
1
8
8
8
8
8
8
8
8
8
0
16
16
8
8
8
8
8
48
48
0
0
62
9
9
0
16
16
16
1
1
1
1
1
1
1
8
32
0
4
4
0
0
0
0
16
8
17
17
17
0
0
4
0
4
0
0
0
0
0
8
0
0
24
8
3
3
3
4
4
0
0
0
18
0
0
32
32
32
0
0
0
2
0
0
0
0
1
0
0
0
4
16
16
16
16
2
0
0
0
0
0
0
12
8
4
8
0
8
8
8
17
16
16
16
0
0
0
0
16
16
0
1
1
16
0
16
16
0
0
0
0
16
16
16
16
0
4
0
0
0
16
0
16
0
8
8
16
16
16
16
16
0
8
8
16
1
1
1
0
16
0
0
0
0
0
8
16
0
0
8
8
16
16
16
0
33
41
0
0
0
0
16
16
2
8
16
16
17
17
0
1
16
24
24
16
8
16
16
16
18
2
2
2
2
8
8
16
8
8
17
8
0
16
16
16
8
8
8
8
8
16
8
8
8
8
8
8
8
8
8
0
0
29
1
10
10
16
24
24
24
24
0
0
0
1
16
8
8
8
0
0
8
9
9
56
16
8
8
16
16
16
16
5
1
16
16
18
0
0
0
0
8
20
0
12
8
8
24
8
8
8
8
8
8
0
0
32
32
32
32
0
0
0
0
8
8
6
4
4
16
16
16
16
16
16
16
16
16
0
0
0
24
24
16
16
8
8
0
0
8
0
20
20
16
8
8
16
0
16
32
32
0
16
16
32
32
32
16
8
0
0
0
5
8
8
20
20
33
8
8
8
24
24
8
8
0
2
1
2
2
2
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
8
8
8
0
0
17
0
0
8
8
0
0
2
2
16
16
0
0
1
1
1
1
16
4
0
2
16
16
0
0
0
0
0
0
0
1
1
8
8
8
9
9
9
9
0
4
4
4
20
20
20
8
16
16
16
16
16
16
16
16
16
1
16
16
8
0
16
16
8
4
4
4
16
16
8
0
1
1
7
0
0
0
0
0
0
16
16
16
16
16
16
8
4
2
1
8
8
8
8
8
8
8
8
8
8
16
0
4
0
8
0
4
4
4
4
4
24
17
17
16
16
16
16
16
0
16
16
4
4
4
0
0
4
4
4
4
4
0
2
0
1
8
2
8
8
8
0
16
16
8
8
8
4
16
16
16
0
0
8
0
8
32
32
32
32
16
16
16
0
8
8
4
1
0
0
0
0
0
0
0
16
0
8
16
16
8
0
0
0
8
8
0
0
8
0
0
0
16
0
8
8
8
16
1
1
1
1
8
0
0
0
0
0
0
0
0
0
0
8
8
16
8
16
1
1
8
0
16
0
8
8
8
8
0
1
16
16
16
16
2
2
2
2
2
2
8
1
1
16
20
20
20
20
52
32
32
16
16
16
8
8
34
32
8
0
28
20
28
0
0
0
16
16
8
8
16
16
0
16
16
8
10
0
0
0
4
8
8
0
16
16
0
8
16
16
24
24
24
24
24
24
24
24
8
0
16
16
16
16
16
8
8
1
1
1
1
1
1
0
8
1
1
1
16
16
8
8
8
8
8
8
8
2
2
16
8
16
16
18
18
18
18
1
0
0
16
0
0
0
0
0
16
16
16
16
8
8
8
8
0
0
1
1
1
1
1
9
0
0
0
2
0
9
0
16
2
2
2
16
56
16
16
0
0
0
44
44
0
0
0
0
0
8
8
2
2
2
0
0
0
8
1
1
2
0
16
16
8
8
0
1
32
0
0
24
0
1
8
8
0
8
8
8
8
8
8
8
8
8
17
0
1
32
32
8
8
36
8
1
1
1
1
1
1
8
0
0
8
4
20
0
0
8
8
0
16
16
16
0
0
8
0
0
0
9
9
0
0
8
8
0
8
16
8
16
16
32
0
0
16
20
17
12
0
0
0
0
16
16
16
16
0
16
24
4
0
0
0
0
8
8
8
0
0
8
8
16
16
8
8
0
0
0
16
4
4
16
16
16
16
16
8
8
8
8
8
8
8
4
1
8
8
8
8
8
16
16
16
1
1
12
12
12
16
16
0
8
0
0
1
1
16
16
0
0
16
8
8
0
0
4
0
0
8
8
8
0
0
18
18
0
8
8
8
8
8
8
8
8
24
24
0
4
4
4
4
4
4
4
4
16
0
0
0
2
0
0
0
4
4
8
8
8
8
1
1
8
8
8
8
16
16
16
0
8
8
0
16
20
1
1
0
8
0
0
4
4
4
4
4
28
8
8
0
0
0
0
4
16
16
0
0
25
48
48
0
8
0
8
8
8
8
8
8
8
0
1
0
0
0
0
0
1
16
0
0
0
4
4
0
6
0
8
0
4
1
0
0
0
4
4
4
4
0
0
4
4
8
8
16
0
0
8
8
8
16
16
1
1
0
0
0
0
0
16
0
0
1
1
8
8
0
0
8
8
16
1
16
16
16
0
0
8
0
1
4
4
8
8
1
1
1
4
0
18
16
16
0
0
8
8
0
1
1
0
32
2
0
28
28
2
2
32
32
32
18
2
0
4
0
0
0
0
1
0
0
0
2
0
0
0
0
0
0
8
4
0
2
2
0
0
0
0
16
16
0
29
0
0
8
8
16
16
16
16
16
16
16
8
8
8
8
8
0
16
30
30
0
0
0
0
0
2
0
8
4
0
0
16
16
16
24
4
4
0
8
8
1
1
12
12
12
4
7
7
7
4
4
16
32
1
1
8
2
0
17
17
0
0
16
0
0
17
17
0
16
29
0
0
0
0
0
0
0
4
16
16
16
16
18
2
1
4
16
0
0
16
16
16
9
16
16
8
16
16
0
25
4
4
4
4
4
8
0
16
16
0
16
16
0
16
16
16
8
8
16
8
0
0
0
0
16
8
8
8
8
0
0
0
8
8
8
2
0
0
8
1
1
8
8
8
16
2
0
0
0
8
8
8
8
16
8
8
5
5
5
0
2
0
0
0
0
0
8
8
8
8
0
0
1
17
16
1
16
0
0
0
0
32
32
0
0
0
0
1
2
0
8
16
16
16
2
2
2
2
2
2
24
0
0
8
8
8
8
8
8
8
8
1
16
20
0
0
0
0
0
20
0
8
12
8
4
0
0
0
0
0
0
8
8
8
8
8
4
4
40
2
2
2
0
8
8
8
8
0
0
28
28
24
24
1
1
1
1
3
16
32
0
0
0
8
16
1
1
1
0
8
8
8
8
0
0
0
8
8
0
0
0
16
16
16
16
2
2
0
0
0
0
0
4
8
16
0
8
8
8
8
8
0
0
16
17
8
8
8
8
8
8
8
8
16
1
8
8
0
0
8
8
8
1
8
40
0
16
0
0
0
0
4
17
17
0
16
8
8
8
8
0
2
2
2
2
2
8
8
8
32
9
9
9
0
0
0
8
8
6
16
16
16
0
0
0
0
0
0
0
0
0
1
9
0
0
0
0
0
0
0
0
4
4
4
4
4
8
1
8
8
8
16
16
2
2
0
5
12
0
8
8
8
8
0
0
0
8
8
8
4
4
0
0
0
1
1
0
8
1
1
8
0
0
0
1
0
0
0
52
20
20
20
20
0
0
0
0
1
0
0
8
8
8
8
24
24
10
10
10
10
8
8
8
0
0
1
0
0
0
0
24
16
8
8
0
0
0
8
16
16
16
16
8
8
0
0
8
8
2
2
4
0
0
8
16
16
16
1
8
0
0
8
0
12
12
8
8
0
4
4
50
50
50
0
8
8
32
0
0
8
24
8
24
0
0
0
16
2
8
8
8
16
6
0
0
0
0
0
8
0
0
2
2
2
0
16
1
1
0
0
0
0
17
17
17
0
0
8
8
16
16
16
1
24
1
16
24
0
2
9
32
0
0
0
16
32
32
4
1
1
24
30
30
8
0
4
0
0
40
16
16
0
0
0
0
0
16
16
0
8
6
6
6
6
6
16
0
24
8
0
8
8
16
16
0
0
16
16
0
0
4
4
0
0
24
8
8
16
16
0
1
20
20
16
8
4
4
4
4
16
16
16
16
16
0
20
0
0
4
8
0
8
8
0
20
0
0
8
8
9
9
8
2
3
2
8
0
0
16
0
0
0
8
5
8
8
9
9
8
1
1
1
1
0
0
0
0
0
8
8
0
0
0
3
3
8
8
0
0
0
0
16
16
0
1
1
8
8
0
0
0
8
0
1
0
8
0
0
0
24
8
16
4
4
4
4
16
16
16
16
2
1
2
0
2
8
8
16
16
16
16
0
2
2
0
0
8
1
4
8
1
1
1
0
0
1
1
0
8
4
4
4
4
0
0
0
4
4
16
0
0
16
0
8
8
8
8
8
8
0
0
17
0
4
4
0
4
10
8
8
8
1
1
1
0
0
0
0
0
16
0
8
8
8
0
16
0
4
16
20
16
16
44
44
44
44
44
0
8
18
9
1
1
1
0
0
0
0
16
16
18
2
0
0
0
17
4
4
4
0
8
8
8
8
8
8
0
0
24
24
8
16
0
1
16
0
8
8
4
4
4
0
8
8
17
1
1
16
16
16
16
16
0
8
40
24
1
16
16
16
17
17
17
8
0
0
0
32
32
32
8
4
16
16
26
0
2
2
2
16
8
2
16
8
8
2
2
2
2
2
2
0
0
8
4
4
4
2
2
2
16
16
16
16
16
1
8
0
0
17
17
8
8
8
4
4
0
8
4
0
0
1
16
16
16
16
16
16
0
6
4
4
4
4
8
1
0
0
0
0
0
20
20
16
16
16
1
16
1
8
0
0
32
32
32
32
32
8
8
16
17
4
4
4
4
4
4
4
16
8
8
8
8
0
1
19
19
0
0
0
8
18
18
2
2
2
2
0
0
16
8
8
0
0
0
0
8
8
2
2
32
32
1
8
8
8
4
4
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
16
0
0
0
0
0
8
8
16
16
1
16
8
0
2
0
4
8
8
1
1
2
2
2
16
0
8
8
8
0
33
0
0
2
2
2
2
2
2
2
2
16
8
8
16
16
16
0
2
2
2
4
16
16
16
16
24
0
0
24
24
16
16
8
8
0
16
8
8
17
25
0
0
0
4
16
16
1
1
1
1
0
2
4
4
0
24
24
0
0
0
0
0
0
0
8
0
0
9
16
16
16
16
8
8
8
0
0
0
0
16
16
16
16
8
8
8
8
8
0
32
32
16
1
1
1
1
2
2
8
8
8
0
0
0
8
16
0
0
0
0
0
0
28
8
0
8
8
2
2
0
0
0
0
0
0
0
24
0
0
56
8
0
33
16
16
16
0
0
8
8
8
8
0
0
24
4
4
0
0
0
0
0
0
0
8
8
0
2
8
0
8
8
8
8
8
8
8
8
4
4
4
0
8
8
8
8
8
8
8
8
8
0
0
0
40
4
0
0
8
40
16
16
16
8
8
8
1
1
18
18
18
2
2
2
2
2
2
2
0
0
4
4
24
24
16
8
0
0
0
0
8
8
8
8
8
16
16
16
0
0
16
16
8
0
8
8
8
16
0
4
4
0
0
24
16
8
8
32
32
32
8
4
4
0
0
34
50
16
8
8
0
0
24
16
8
8
9
16
4
24
8
16
16
16
16
1
1
1
1
1
16
8
8
8
0
16
8
8
8
8
16
16
4
8
0
0
8
24
8
8
0
0
0
0
0
0
0
0
0
0
0
0
16
16
8
36
2
2
2
0
0
0
0
0
0
1
1
17
1
1
1
56
16
16
16
0
8
0
0
24
24
16
8
8
8
16
16
16
16
16
0
0
16
8
0
0
0
0
0
40
8
0
0
0
8
0
41
41
41
41
8
32
0
18
18
24
16
16
8
8
8
4
0
16
0
2
0
0
0
0
0
0
0
1
0
0
0
16
16
16
8
8
24
24
24
24
0
0
0
0
2
2
2
0
0
16
16
16
0
0
0
0
0
16
0
0
0
4
16
16
16
16
8
20
20
20
20
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
34
8
8
16
0
8
8
8
8
16
0
0
1
1
1
1
1
8
16
1
1
18
0
8
0
16
0
0
0
8
8
16
16
16
20
16
16
0
0
24
24
24
1
0
0
0
4
2
2
8
16
4
0
0
0
8
0
0
0
0
16
16
16
4
0
1
0
0
0
16
0
0
28
8
8
8
0
0
8
0
8
8
8
0
0
8
2
32
32
32
2
2
0
24
2
8
8
8
8
0
0
2
0
1
1
1
1
1
1
1
1
32
16
16
16
0
0
0
0
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
4
0
8
0
0
0
16
16
16
0
0
0
0
0
16
16
8
8
0
0
0
0
16
16
16
8
0
20
8
8
8
16
16
16
16
48
48
0
0
0
0
9
2
2
36
4
0
0
0
16
8
12
1
1
1
8
8
0
4
16
20
20
12
28
28
2
8
8
8
16
2
0
0
1
16
16
3
2
0
0
0
1
32
8
8
8
0
8
4
8
8
8
8
4
0
4
4
0
24
24
16
1
1
1
1
1
1
1
1
0
0
0
0
0
8
8
8
16
0
16
12
1
1
1
0
16
16
0
0
0
40
48
2
31
31
31
0
8
8
8
8
8
8
8
8
0
0
2
2
32
32
1
1
24
0
0
27
4
18
18
18
18
32
8
24
8
8
8
8
32
8
0
0
8
8
0
16
2
8
20
20
1
8
8
0
0
0
0
0
0
0
0
4
4
4
16
16
16
8
10
10
10
2
2
2
2
2
2
2
8
8
8
0
0
16
16
16
0
1
25
8
8
0
1
16
0
0
0
0
32
32
2
0
0
0
0
8
8
4
8
8
2
2
8
0
0
1
1
1
1
1
1
1
0
0
24
24
24
24
0
0
0
8
8
8
8
0
1
8
36
0
4
4
4
8
0
8
8
8
8
16
16
16
16
8
8
8
16
0
0
4
4
40
8
16
16
16
32
32
32
0
8
16
1
1
8
8
16
16
16
0
0
12
8
16
0
0
33
0
0
16
16
8
8
1
2
2
16
0
0
0
4
1
1
1
1
1
56
0
52
10
10
8
0
0
0
52
0
0
0
0
0
0
0
8
0
0
2
2
2
0
8
8
1
2
2
2
2
16
0
0
0
16
16
16
16
16
16
17
1
32
8
8
8
8
8
8
8
0
0
54
6
6
4
4
16
0
8
8
0
0
16
6
6
6
16
0
0
0
8
8
0
0
4
0
0
0
0
8
0
0
24
16
16
16
1
8
8
8
8
0
12
12
12
12
12
32
32
16
16
16
4
8
9
9
9
9
9
24
9
4
4
24
2
16
16
8
8
8
1
0
8
16
4
0
0
0
0
16
16
32
16
16
10
18
16
4
4
4
1
1
8
0
1
1
1
18
0
0
0
0
0
0
0
8
8
16
16
20
0
24
16
16
2
16
16
16
16
10
2
16
16
16
16
0
0
0
0
8
4
4
4
0
8
8
8
8
8
24
24
24
4
4
20
0
0
0
4
4
4
4
8
0
0
2
8
24
24
24
24
1
1
8
8
24
16
16
16
4
0
0
0
4
4
8
8
8
0
0
0
8
16
1
16
16
16
0
16
17
16
0
16
16
16
16
16
1
1
1
0
0
32
32
32
8
16
16
4
4
4
44
44
44
16
16
16
4
4
4
1
8
8
8
8
8
8
8
2
2
16
0
16
0
0
4
0
0
8
16
16
16
16
16
20
8
8
8
8
0
0
8
16
16
16
0
2
2
2
16
12
24
8
8
8
16
8
8
8
0
0
16
1
1
16
16
16
0
0
24
16
16
2
1
1
2
8
0
0
0
0
0
0
8
4
25
0
8
16
8
8
8
16
16
8
16
8
2
16
16
16
16
16
2
16
0
0
0
0
0
16
16
32
32
32
32
32
32
32
32
32
8
4
4
0
8
0
10
2
2
0
8
8
0
1
1
0
3
3
16
16
16
0
8
8
8
8
0
0
19
8
8
8
0
0
0
16
16
5
2
8
8
8
1
1
24
8
8
32
32
32
16
2
32
16
1
2
2
16
16
32
4
16
2
0
0
8
0
0
0
12
12
0
24
24
16
16
0
16
2
0
0
0
0
0
0
0
2
0
32
32
32
20
16
16
0
21
21
0
0
8
8
50
0
0
8
8
8
4
4
4
4
4
4
4
16
16
0
16
16
16
16
0
8
8
0
20
16
0
16
16
16
1
1
0
0
0
16
16
16
16
10
10
16
16
16
16
16
8
16
8
0
16
16
40
0
20
16
16
20
20
2
8
0
0
0
0
2
8
33
0
0
1
1
1
1
1
1
1
16
8
8
16
0
0
0
8
8
4
4
6
24
24
0
16
0
8
8
8
8
0
0
8
0
0
0
0
0
9
9
18
8
8
0
0
0
8
16
16
18
16
16
1
1
1
1
8
8
1
1
1
16
16
16
16
0
16
16
0
0
33
33
33
8
8
8
24
24
24
4
4
4
4
16
16
16
8
0
16
0
8
24
24
24
0
0
0
16
16
16
16
16
16
16
8
8
4
0
16
8
0
40
8
0
6
6
0
0
0
0
0
0
6
6
6
6
0
0
8
0
1
1
0
0
0
0
16
8
8
16
16
32
9
12
12
16
16
16
16
16
16
16
16
0
0
0
0
8
8
8
16
0
0
18
22
16
4
4
16
8
8
8
8
16
16
6
8
16
8
0
8
8
8
8
4
16
16
16
16
8
24
8
0
0
0
0
16
16
16
1
1
1
16
16
16
16
16
24
16
8
0
8
0
0
0
0
16
16
2
33
8
8
2
2
2
4
0
8
8
0
24
16
0
24
0
0
16
4
4
4
4
4
4
4
4
4
4
4
0
8
0
2
16
16
16
8
2
2
52
36
16
0
0
1
0
0
24
16
16
16
16
0
0
24
12
4
0
0
16
0
0
8
16
0
8
21
8
0
0
0
16
16
16
0
0
1
1
8
8
8
8
8
16
2
1
0
0
0
0
16
16
16
4
4
4
32
8
4
16
16
16
16
16
16
8
8
8
25
25
44
0
0
0
8
0
0
9
1
1
1
1
0
8
8
8
8
8
0
0
12
12
12
12
8
8
0
0
0
0
0
8
25
25
25
8
8
4
4
4
4
8
9
9
9
8
16
16
16
16
16
16
16
16
16
8
8
0
0
0
0
24
16
16
8
8
4
0
4
4
4
4
4
0
2
2
0
0
0
0
21
21
21
21
21
21
21
0
0
0
0
32
30
8
0
0
0
0
0
8
8
0
16
16
0
2
2
2
2
2
0
8
8
8
8
8
8
1
8
8
16
16
16
8
8
8
8
8
8
16
16
8
8
4
4
4
1
1
1
16
16
16
16
16
16
0
16
8
0
0
0
2
16
16
16
16
16
4
9
8
8
8
8
8
2
1
1
1
0
0
17
17
4
8
8
0
0
4
4
1
4
4
0
8
8
8
8
0
0
2
16
2
2
8
0
4
9
24
1
1
1
16
4
4
4
16
0
12
12
16
16
16
0
0
0
16
16
16
16
16
16
12
4
8
8
8
0
4
4
4
8
16
16
0
8
8
12
8
0
0
17
17
17
8
8
0
0
0
8
1
0
0
0
16
16
16
16
16
16
0
8
17
17
8
8
8
4
22
22
0
0
16
16
1
8
8
8
8
0
8
8
0
0
4
4
4
4
16
16
8
8
8
16
0
0
0
8
2
2
4
16
16
8
0
0
24
8
1
1
1
0
1
16
1
20
16
16
8
8
0
0
0
0
0
8
4
2
2
2
2
2
2
12
12
8
8
0
0
0
2
2
1
1
8
8
0
3
17
16
17
8
8
8
32
16
16
16
16
16
16
16
16
16
8
1
1
0
0
16
16
16
16
4
20
20
0
4
4
8
8
1
34
16
16
16
16
8
16
16
16
8
32
0
8
24
16
16
16
16
16
42
4
16
16
16
16
16
0
8
0
3
1
1
1
1
8
8
8
17
17
1
13
17
0
4
0
8
8
8
0
0
2
0
0
8
8
16
24
0
0
8
24
24
0
1
16
8
1
1
4
0
0
8
0
8
24
24
24
24
8
16
12
12
0
4
0
49
16
16
0
0
0
8
8
8
8
8
4
0
0
0
1
8
8
32
0
10
10
0
5
16
4
4
1
1
1
1
1
1
8
8
8
8
8
8
8
0
1
1
8
1
16
0
0
17
25
20
20
0
1
1
1
1
1
1
4
4
16
16
16
16
0
0
8
24
8
0
16
16
8
8
8
8
16
20
20
0
0
40
16
0
0
8
32
32
0
16
0
8
0
32
0
0
0
16
22
0
0
16
16
16
16
1
1
1
0
33
0
0
0
8
8
4
4
8
8
32
32
32
32
32
32
32
8
16
8
24
16
16
8
8
48
48
8
16
0
0
0
4
8
0
0
0
8
24
8
4
4
8
8
8
8
8
8
8
33
16
16
0
0
0
0
16
2
2
2
2
2
8
8
8
4
8
0
0
0
0
1
4
4
8
4
8
18
0
0
1
16
16
8
16
4
4
4
4
4
25
25
25
8
8
0
0
0
0
0
8
8
8
0
0
32
27
0
8
8
8
8
8
8
8
8
8
8
4
4
0
14
8
4
0
16
16
16
8
1
16
16
16
4
4
4
8
8
8
8
8
16
0
0
0
16
16
16
8
2
2
12
16
24
0
0
4
4
24
24
8
0
1
4
16
1
1
1
1
0
0
1
8
8
8
16
0
2
8
8
10
20
20
8
8
16
16
16
0
4
17
17
8
8
16
0
2
0
8
0
2
2
8
8
8
8
0
0
0
8
8
8
8
4
4
1
0
8
14
8
8
8
8
8
0
63
8
8
8
16
16
16
4
4
4
16
4
20
4
4
4
0
16
16
0
2
24
24
16
16
8
8
2
2
3
0
0
0
8
8
0
0
0
0
8
8
8
1
24
2
2
0
16
33
1
2
1
9
0
16
16
16
8
16
29
29
8
16
16
8
8
8
16
8
0
16
16
16
16
16
2
0
0
17
17
17
0
32
32
32
8
8
0
32
1
1
8
16
16
16
16
0
0
16
16
0
8
16
0
8
8
0
16
16
16
0
0
32
0
8
0
0
16
2
16
16
16
16
16
1
1
1
0
16
16
16
0
0
8
8
0
16
8
0
0
4
0
16
16
16
16
16
8
8
0
0
16
4
24
16
8
8
16
16
0
0
0
32
16
24
24
16
16
8
8
8
2
12
1
16
20
0
8
8
0
0
0
0
0
1
1
8
8
1
1
1
17
4
4
8
8
8
8
8
8
8
8
0
16
16
8
8
4
4
4
4
4
4
4
8
0
8
8
8
8
8
0
0
8
8
56
48
24
24
8
8
8
0
0
1
0
0
0
0
0
0
1
1
1
1
0
8
8
0
16
12
4
1
0
32
8
8
6
6
6
6
6
24
24
24
16
0
0
0
0
0
0
0
0
0
1
0
8
0
0
1
1
0
8
8
16
16
16
16
16
0
2
2
2
2
2
2
2
2
2
2
2
2
8
8
4
4
4
2
8
16
4
16
44
16
0
0
17
17
17
25
16
8
8
0
1
1
0
0
0
0
8
0
8
8
16
16
16
16
0
0
0
8
4
8
8
8
32
32
32
0
0
9
9
18
16
16
16
16
4
0
0
16
16
8
8
8
2
16
16
16
16
1
8
0
2
8
8
8
8
8
8
16
16
16
16
16
8
4
4
0
0
0
0
1
1
16
4
4
4
4
4
4
4
0
0
16
16
16
4
4
8
8
8
8
8
1
2
16
1
16
16
1
0
16
8
24
24
24
24
16
16
16
56
56
56
56
16
16
16
9
0
0
2
2
16
8
8
40
12
0
0
0
8
2
10
1
8
8
8
0
16
16
16
16
0
0
4
4
16
16
16
1
3
8
0
16
16
16
16
16
16
16
16
8
8
8
8
0
22
8
8
8
8
8
8
2
2
0
41
41
41
41
41
0
8
16
8
8
8
8
8
8
8
8
0
0
16
8
8
8
5
16
16
12
8
0
0
0
0
0
0
0
0
0
0
0
16
18
0
0
8
2
2
2
2
32
32
32
0
16
16
0
0
0
0
24
0
5
5
8
0
0
8
24
0
1
0
0
0
0
8
8
8
8
2
8
8
8
8
2
16
16
16
16
16
0
16
3
24
8
4
0
24
8
8
8
8
0
0
0
0
0
16
16
16
0
0
8
8
24
8
4
4
8
8
2
0
8
8
0
32
4
0
0
16
0
0
0
0
0
0
16
1
8
0
4
8
16
16
0
8
0
20
1
0
8
8
8
8
0
20
0
16
0
16
16
1
17
1
2
0
8
8
0
0
0
8
8
0
8
8
0
16
16
4
4
16
16
16
16
16
16
2
19
19
8
8
16
0
4
4
18
2
8
8
2
2
2
2
2
2
3
3
3
0
9
8
0
0
16
0
4
8
8
4
20
16
1
0
0
0
4
4
4
2
2
17
17
0
0
40
8
8
1
1
0
0
0
36
36
8
8
9
9
9
0
0
16
12
20
1
8
8
8
16
16
1
1
1
4
1
8
0
16
16
48
0
0
16
8
0
16
16
16
16
16
16
16
16
0
40
40
40
40
32
4
4
4
4
24
16
16
8
8
16
8
16
0
13
8
0
0
8
2
2
12
8
16
18
24
4
16
0
2
4
4
16
8
8
24
32
46
4
0
0
0
0
8
8
8
8
8
16
16
0
9
0
8
8
8
0
8
16
16
8
0
0
0
16
16
1
16
16
8
16
8
0
0
14
0
0
0
16
16
0
8
3
0
0
0
0
0
16
8
16
0
0
0
16
8
8
0
0
0
4
9
16
16
16
2
0
0
0
0
8
1
1
16
0
16
24
0
1
1
4
4
16
16
16
0
8
2
0
0
0
16
16
16
16
16
16
0
0
8
8
0
0
16
16
0
16
16
32
0
8
8
1
1
0
4
16
16
16
16
16
16
32
0
1
1
1
1
0
16
16
16
0
16
16
9
8
8
4
16
18
2
4
0
0
0
12
0
0
0
0
8
16
16
0
0
8
8
0
1
32
0
16
0
0
4
4
2
8
2
2
8
16
16
16
3
17
22
22
0
4
4
8
8
0
0
4
4
4
16
24
24
0
9
25
9
0
1
0
0
1
8
8
2
0
2
2
0
0
8
8
0
8
32
32
8
8
0
17
8
0
0
8
0
21
2
0
0
0
16
16
16
1
1
1
0
0
16
16
16
16
16
16
8
16
16
8
8
8
8
2
0
16
16
16
0
0
40
0
0
8
4
1
0
0
0
0
2
8
8
0
8
8
8
8
0
0
0
8
16
16
16
16
16
16
8
16
16
8
16
0
0
16
8
8
8
8
8
2
0
56
56
56
56
56
32
0
0
0
0
16
4
4
8
8
0
0
12
1
0
21
8
8
8
8
16
16
16
20
12
0
0
1
1
1
0
2
0
0
16
1
6
6
6
6
6
16
34
32
32
8
21
16
16
1
1
1
1
1
1
24
8
16
16
16
8
8
8
8
1
1
1
1
1
8
0
0
8
32
8
1
16
17
1
1
1
1
18
8
8
4
4
4
4
4
1
1
4
4
4
0
0
4
0
0
0
0
0
0
28
28
4
4
16
16
16
0
0
1
0
0
16
8
4
8
0
8
16
16
16
16
16
1
8
8
0
0
0
16
0
8
8
8
0
24
24
24
24
24
24
9
9
0
0
1
1
1
2
2
2
2
16
16
0
0
8
8
8
0
9
1
0
4
16
0
2
8
0
0
0
0
0
2
8
8
9
9
9
25
25
25
8
8
0
0
0
8
8
16
16
16
16
0
1
8
0
7
0
0
16
16
0
0
0
51
51
16
8
16
16
16
16
16
16
8
8
57
57
0
0
0
0
2
2
0
8
48
8
16
2
9
4
4
16
24
16
16
16
4
4
4
0
16
16
2
2
2
0
0
0
0
0
8
0
0
9
9
4
8
8
8
8
8
0
16
0
0
0
16
16
2
2
2
4
4
4
4
4
0
2
32
32
2
2
2
2
2
0
8
32
32
1
0
0
0
17
20
8
4
0
3
16
0
1
0
1
1
8
8
8
14
14
14
14
0
0
0
0
8
0
0
32
8
8
16
16
16
8
24
8
0
0
8
1
2
2
32
16
16
16
0
0
8
8
8
0
32
32
32
32
1
1
54
54
54
0
0
16
0
0
16
16
16
0
32
1
21
16
32
32
32
0
0
8
8
8
0
2
3
0
0
0
0
20
0
2
2
0
1
4
4
8
0
2
0
8
8
8
8
8
16
1
0
0
0
0
16
16
16
16
16
16
0
0
32
1
0
1
1
16
16
0
0
8
8
8
2
8
0
0
4
4
2
16
8
24
0
1
1
1
1
1
0
0
16
16
8
4
4
4
4
4
4
4
4
4
0
0
0
0
0
0
8
0
0
0
61
0
0
0
0
0
0
0
0
8
16
16
0
8
8
16
0
0
8
56
56
0
16
16
8
0
17
8
0
8
1
1
8
8
0
0
2
0
0
8
8
8
0
0
0
0
8
8
8
8
33
2
4
8
0
2
0
0
1
8
8
0
0
0
16
16
2
2
2
2
8
8
8
16
16
16
57
0
16
16
16
4
8
8
8
0
8
2
2
16
16
22
4
4
4
0
8
32
0
0
0
8
0
8
8
8
0
0
0
0
0
8
8
0
17
16
16
8
2
0
8
2
2
2
0
0
0
8
8
8
0
0
8
8
1
1
8
16
16
16
16
16
1
2
2
2
2
0
2
0
0
16
8
8
8
44
44
44
8
8
8
8
0
16
1
0
0
0
30
30
10
1
8
1
1
16
16
16
0
0
0
0
16
8
8
8
8
8
8
1
4
8
4
24
24
0
0
0
16
4
4
16
1
1
0
16
8
8
8
0
0
16
16
0
0
16
16
0
32
32
0
0
20
16
16
32
32
0
8
16
2
2
2
2
16
16
16
16
16
16
0
12
8
16
16
1
1
16
4
4
16
16
16
8
24
24
24
24
24
24
24
24
24
24
24
8
8
8
24
8
16
16
24
8
0
0
0
0
0
8
8
12
8
0
33
32
16
16
16
16
16
16
16
16
16
16
16
16
0
12
26
26
8
8
8
17
17
16
0
4
0
16
16
16
8
0
1
1
1
1
1
1
1
58
0
0
2
2
8
8
8
8
10
4
8
8
8
6
20
20
20
0
16
1
16
0
0
8
0
16
16
0
0
8
1
1
1
1
1
5
5
1
1
1
8
8
8
24
24
32
3
1
1
0
0
16
16
0
0
0
4
0
0
8
8
8
0
0
0
0
0
0
16
16
16
16
16
16
16
8
4
4
2
0
0
0
12
58
58
0
0
8
8
0
0
0
16
32
8
0
37
37
0
8
8
8
40
40
4
4
4
25
25
25
6
6
6
16
8
8
8
8
8
8
8
16
16
0
8
8
0
0
24
24
16
8
16
16
8
16
16
0
8
8
2
2
16
16
24
0
0
0
0
32
0
0
8
8
8
8
16
16
24
0
0
0
11
8
8
8
8
1
1
1
1
1
0
52
30
0
8
8
16
16
16
0
2
2
2
10
10
0
0
0
0
8
0
0
16
0
9
8
8
52
52
52
16
0
8
8
1
8
0
12
0
0
0
16
16
16
16
16
16
0
0
16
8
0
4
16
16
16
16
16
0
8
16
2
2
16
8
1
1
1
16
16
0
16
16
0
0
2
8
0
1
16
16
16
16
8
8
8
16
0
0
1
16
16
16
16
0
0
1
0
1
1
16
16
1
16
17
24
8
8
14
8
16
0
16
8
8
2
2
2
8
5
0
0
48
24
16
0
0
0
16
0
0
0
50
16
16
16
0
0
0
0
8
8
8
8
8
8
0
8
8
8
1
8
8
0
0
0
8
8
8
32
32
32
32
1
16
16
16
16
28
20
20
8
16
7
7
7
7
7
0
0
16
16
18
18
0
0
0
0
32
32
32
32
32
32
34
34
8
8
4
4
4
0
0
0
0
0
0
8
0
16
16
16
8
1
32
32
32
32
32
20
20
1
4
16
8
0
0
2
16
0
0
17
1
0
8
8
8
8
8
8
16
0
16
0
1
16
16
0
0
2
2
2
16
8
8
1
8
8
16
16
8
8
0
0
0
16
4
16
16
16
24
24
56
8
8
8
8
0
8
8
1
1
0
16
2
2
8
0
16
1
0
0
0
0
0
0
2
2
16
4
12
4
4
4
0
0
0
0
0
0
4
16
16
16
8
8
8
2
2
4
8
8
8
8
0
8
0
0
0
16
16
16
16
16
16
0
2
2
8
4
0
16
16
16
0
13
0
0
8
8
2
16
0
0
0
0
0
8
8
8
16
16
36
0
24
0
0
8
8
1
5
1
1
32
32
32
8
1
8
8
8
8
8
16
8
16
0
0
16
16
16
16
24
4
4
8
1
1
24
16
16
16
16
0
0
8
16
0
4
0
0
0
0
8
24
0
0
16
18
4
16
8
1
18
18
18
18
16
16
16
0
4
4
16
16
0
16
0
8
8
8
0
1
1
1
2
8
0
0
0
0
4
5
8
0
1
1
11
11
11
11
11
11
11
0
8
12
8
8
28
28
4
4
4
20
4
12
2
2
2
1
1
0
16
16
16
16
16
8
4
4
0
0
0
8
0
4
20
16
16
16
16
0
0
0
0
0
0
0
16
0
4
8
0
0
0
0
0
0
40
40
8
8
0
0
0
0
4
0
0
0
0
0
0
16
16
16
8
16
0
4
0
8
8
8
2
8
8
8
5
5
1
16
30
8
8
12
12
12
16
8
8
8
0
0
24
16
16
0
16
0
16
16
16
24
24
0
2
0
8
8
0
16
16
16
16
1
9
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
8
8
16
0
0
0
0
0
1
1
0
24
1
0
16
16
32
56
1
8
8
4
16
16
16
16
16
16
0
1
8
8
8
16
0
8
0
0
0
10
16
0
0
8
32
48
48
48
48
0
0
8
16
16
8
8
8
8
8
8
8
8
2
2
2
2
20
20
20
20
0
26
0
1
24
16
16
4
24
16
16
16
0
0
0
0
0
16
16
16
16
1
8
8
16
16
16
40
0
8
8
8
8
8
40
40
8
8
3
16
0
16
0
0
16
8
16
23
23
2
16
0
2
16
16
8
8
8
8
12
12
12
28
0
12
8
0
0
0
0
0
8
0
0
8
0
0
0
0
8
8
8
16
0
0
16
8
28
28
0
0
0
0
0
0
4
17
8
32
32
8
12
4
0
16
0
0
8
0
8
8
16
16
2
0
0
8
8
8
2
0
16
16
16
0
0
0
0
32
32
8
8
8
0
1
1
0
0
0
16
16
0
1
8
24
24
24
0
0
0
1
24
16
0
0
0
0
0
0
1
0
0
0
7
8
32
0
0
24
16
8
24
8
8
8
24
16
17
4
4
4
4
8
8
32
32
0
0
4
4
8
8
32
32
32
2
8
4
4
0
0
8
8
4
8
8
16
11
0
17
17
9
9
0
8
0
0
0
8
8
0
0
16
0
0
16
8
16
0
20
8
8
8
2
2
2
2
1
16
16
0
0
16
0
0
16
0
8
8
8
35
35
0
0
8
5
5
0
0
4
36
32
0
0
24
10
0
0
24
0
0
0
32
16
8
12
12
0
2
0
0
0
0
16
0
1
1
0
0
0
0
32
32
16
16
16
8
1
33
8
8
9
0
16
16
16
1
0
0
10
8
0
8
8
8
0
0
2
2
0
0
17
0
0
0
8
8
8
4
2
2
4
4
4
0
0
16
16
1
41
1
16
16
8
8
8
8
8
6
6
8
0
0
4
0
0
0
0
8
16
16
16
32
16
4
4
32
0
8
16
0
1
1
2
0
16
0
0
0
16
2
4
4
4
2
2
10
10
0
8
8
8
0
0
0
0
16
16
32
32
32
1
10
10
16
16
0
8
8
8
8
0
0
0
0
1
1
1
1
1
1
0
16
16
16
24
0
16
16
0
0
8
8
4
2
4
4
4
4
16
16
4
0
8
8
8
32
32
16
2
0
0
0
2
8
0
0
0
8
8
8
8
8
8
12
12
0
0
0
0
0
1
22
16
16
0
8
8
0
8
0
8
8
24
0
16
18
16
16
2
2
0
0
0
0
2
3
0
0
0
0
16
16
8
8
8
8
16
16
16
4
16
16
1
8
0
0
0
0
0
0
0
0
11
32
0
0
0
0
0
0
0
0
16
16
16
32
1
15
2
16
0
0
17
17
17
16
16
8
8
8
16
4
16
1
8
16
2
0
0
0
0
0
0
8
8
8
8
8
8
0
0
0
0
0
0
16
8
8
6
0
8
16
16
0
17
0
16
8
16
53
8
8
8
0
0
0
0
0
8
8
0
16
0
0
10
10
10
0
8
8
24
24
1
1
8
8
4
4
1
1
0
0
49
0
8
16
8
8
20
4
24
16
16
20
20
0
8
8
8
4
8
16
16
32
0
0
0
8
8
0
0
8
4
4
0
0
0
25
9
9
9
8
8
4
5
32
32
0
24
24
24
16
16
8
0
2
0
0
0
16
1
1
0
0
0
0
3
2
16
1
16
16
16
4
16
16
0
0
8
0
0
0
8
1
1
1
1
0
0
0
0
16
0
32
0
0
8
8
1
8
8
8
0
0
16
0
8
8
0
0
0
0
1
1
32
32
32
32
32
24
24
24
4
25
25
8
16
16
16
16
0
8
8
0
8
0
0
16
16
8
0
0
0
0
0
0
10
0
0
0
4
4
2
2
2
2
2
2
2
2
0
16
16
1
1
0
8
32
0
0
0
8
8
0
0
0
16
16
4
2
0
0
8
0
8
0
32
8
0
8
0
16
16
1
1
4
4
4
4
8
0
0
0
0
0
0
56
8
8
0
8
8
8
35
35
8
9
9
8
32
22
4
0
0
16
16
0
0
1
1
8
0
0
4
4
8
0
0
0
0
0
0
12
12
8
8
0
0
8
0
2
0
0
0
0
8
0
4
8
8
0
2
2
12
12
4
4
16
0
0
26
8
16
16
2
2
8
0
0
0
8
0
16
16
16
16
2
0
8
8
1
1
2
2
2
2
8
0
0
25
16
16
16
10
8
8
8
4
4
2
0
0
0
8
0
0
17
8
8
8
8
0
0
8
8
1
8
4
0
16
0
0
0
0
8
0
8
8
8
2
2
2
2
16
16
1
1
1
1
4
16
9
8
16
0
0
0
0
0
0
0
16
4
4
4
4
4
0
1
16
1
1
1
1
20
16
4
4
4
0
9
9
9
9
9
9
9
1
0
0
16
0
0
16
16
0
0
4
4
4
4
4
8
8
8
8
1
1
1
0
8
8
8
22
6
1
1
28
8
8
0
0
16
16
16
16
24
16
16
16
16
16
16
0
8
8
8
8
0
0
0
0
8
8
8
8
2
2
0
0
0
1
16
16
16
16
8
0
0
0
8
8
8
8
20
1
1
1
20
8
8
32
32
32
4
0
24
1
1
1
1
36
32
32
0
16
16
16
8
8
0
16
16
17
1
1
8
0
20
20
0
0
0
0
0
0
8
8
16
16
16
16
48
32
32
8
0
16
2
0
16
16
8
8
8
0
0
8
3
3
0
0
8
17
16
4
0
0
16
16
16
16
16
16
0
0
0
24
24
0
0
0
0
0
0
8
8
6
8
4
4
4
4
0
0
16
16
16
16
1
1
1
16
16
16
8
16
16
16
2
2
24
8
8
0
0
0
0
8
16
8
8
4
0
8
8
8
8
8
8
0
2
8
41
57
2
0
8
8
8
8
8
3
1
32
8
4
0
32
32
32
0
0
0
0
0
0
16
16
16
0
0
0
16
16
8
8
8
8
0
0
8
16
0
0
0
0
0
0
8
8
8
8
0
0
0
24
16
16
49
0
0
4
4
0
0
0
32
32
32
8
16
16
16
16
8
8
8
8
0
0
0
0
16
16
8
16
16
8
8
8
8
0
0
8
8
0
0
17
17
16
1
4
24
24
0
16
16
24
24
24
8
8
16
16
16
2
20
20
0
8
0
0
0
16
16
0
0
4
16
8
16
0
8
8
8
0
1
1
16
16
4
0
8
8
8
8
4
4
16
0
24
16
16
4
4
4
8
8
8
8
0
8
17
8
8
8
1
9
0
0
0
8
0
0
16
16
4
0
18
16
16
16
1
1
1
1
0
0
0
2
2
2
9
9
8
8
8
8
8
8
8
0
0
48
0
0
0
8
8
0
16
16
1
32
8
0
0
8
8
0
4
16
24
0
8
8
0
0
8
8
8
8
8
0
2
0
0
8
8
1
0
0
0
24
24
0
0
0
16
16
0
0
0
8
0
0
0
8
8
8
8
8
8
16
16
16
10
2
2
2
8
0
5
56
16
16
0
0
0
0
0
0
0
0
0
8
8
0
8
0
16
16
16
0
0
0
0
0
0
8
8
8
2
8
8
8
2
2
8
8
8
24
16
16
0
0
0
0
0
20
6
2
2
2
2
16
1
8
8
8
1
0
8
16
16
16
4
8
8
0
8
16
16
8
8
8
8
8
8
8
0
4
4
0
0
4
16
16
16
0
16
8
2
2
2
2
8
16
8
24
8
4
4
16
16
16
16
4
8
0
0
8
16
16
8
0
24
24
24
1
1
1
1
16
0
0
0
8
8
0
0
16
16
16
18
2
16
16
16
16
16
16
16
0
24
24
8
3
4
16
16
16
16
16
0
0
16
16
16
0
16
16
8
8
8
24
6
4
49
0
0
16
16
16
16
0
0
0
0
4
1
0
8
16
16
16
16
16
0
16
4
16
16
0
0
1
1
1
0
8
16
16
8
34
34
0
0
8
8
32
32
16
16
16
16
16
16
16
16
16
0
0
0
8
8
16
16
0
8
24
0
0
0
0
0
0
0
0
0
0
24
24
24
24
8
8
8
0
8
0
8
8
0
0
0
4
0
56
0
1
0
8
8
8
0
2
2
2
16
16
16
16
16
4
4
16
0
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
4
4
19
0
8
0
8
8
8
8
8
8
8
0
17
17
17
8
20
25
8
1
1
1
16
8
8
16
8
8
8
8
16
16
16
16
16
16
0
24
16
16
8
8
4
16
0
0
0
0
0
0
0
16
32
0
0
0
1
1
1
1
1
1
8
8
8
8
8
0
8
8
16
0
0
0
16
16
16
16
8
8
8
8
24
0
0
0
8
0
9
0
0
7
7
16
16
16
0
8
0
1
1
32
0
8
8
8
8
8
8
8
8
8
1
20
20
16
24
0
0
16
0
24
24
24
24
24
24
1
8
9
1
1
1
1
8
10
16
4
4
0
1
0
0
8
8
8
8
0
8
8
8
16
16
32
2
32
16
16
25
8
8
8
0
0
0
0
0
0
0
0
8
20
8
32
32
24
0
0
0
4
4
4
4
9
9
9
16
16
8
8
0
0
9
9
9
0
32
32
32
32
0
8
8
0
4
4
20
20
20
20
20
0
8
0
8
8
9
9
0
0
53
1
1
4
2
8
32
2
16
16
16
16
16
16
16
16
16
16
17
16
20
32
32
32
0
16
16
16
16
16
16
16
8
8
24
8
8
17
6
6
0
0
0
16
16
16
16
0
1
40
0
4
4
4
24
0
0
0
16
0
32
4
8
8
6
8
8
8
8
8
8
9
9
8
8
8
32
8
8
8
4
4
16
8
8
0
0
10
10
8
8
8
0
0
0
0
0
0
0
24
24
16
0
0
0
0
0
8
8
8
0
0
4
4
21
8
4
16
24
0
0
0
1
1
20
21
8
8
4
0
0
0
0
8
8
0
0
0
0
0
0
32
8
8
24
8
16
16
16
0
0
0
0
12
16
16
8
0
0
8
0
0
0
0
0
0
22
2
16
0
8
8
8
0
0
0
0
8
8
8
8
8
8
1
4
4
0
16
0
0
0
0
0
0
32
0
4
4
4
8
8
1
1
1
1
1
1
8
8
24
0
50
50
50
50
8
8
8
0
0
0
0
16
0
16
16
16
8
0
0
0
0
16
16
0
4
16
16
0
16
0
16
16
16
8
8
8
8
8
8
1
1
16
0
0
8
8
8
16
1
1
1
1
2
24
24
8
8
1
1
1
1
1
8
8
9
1
1
1
1
40
8
0
0
0
2
1
1
1
16
2
18
2
0
0
16
0
40
8
2
8
8
0
16
0
0
9
9
8
8
8
8
8
8
8
8
8
8
8
0
0
0
0
8
8
52
0
0
37
37
37
4
4
1
1
4
8
0
1
0
0
0
16
49
0
4
0
0
8
8
8
0
16
8
8
8
1
1
1
1
1
0
16
16
0
16
16
17
1
16
0
16
1
0
0
0
8
8
0
28
8
16
16
16
8
16
16
0
16
16
0
0
0
0
0
0
0
4
1
8
8
0
0
32
8
8
8
2
0
0
0
0
0
0
0
0
12
8
0
2
0
0
0
0
0
0
0
1
1
1
8
24
54
16
16
8
8
8
8
8
0
0
0
0
8
8
16
16
16
0
0
0
0
0
0
0
0
0
8
0
8
8
48
8
4
4
0
0
0
8
8
16
4
8
0
2
8
8
8
8
0
0
8
8
8
8
1
8
8
24
24
24
24
24
24
24
24
8
8
8
0
0
8
8
4
8
0
8
8
8
0
0
0
16
16
16
16
16
16
1
16
16
16
1
1
0
12
12
0
16
0
0
0
0
0
0
16
0
0
2
2
2
0
4
4
8
8
8
8
8
8
16
16
0
0
2
0
0
8
16
16
10
10
10
10
16
16
16
16
8
8
8
0
0
0
8
20
16
8
16
16
4
16
0
0
0
8
8
16
16
16
1
2
16
16
16
16
16
16
16
16
0
0
0
0
0
1
8
8
8
0
12
0
0
58
16
16
16
16
16
16
0
8
8
10
0
33
0
0
0
0
0
0
0
0
0
0
16
16
24
8
8
8
0
0
16
16
16
24
24
8
8
8
8
8
16
16
0
8
4
0
16
16
16
1
16
16
16
16
16
16
0
8
0
0
0
0
0
2
2
2
16
0
1
1
2
2
2
2
8
8
0
0
0
0
6
24
0
4
8
8
8
8
16
2
16
3
8
25
24
16
0
8
8
8
8
16
53
53
0
0
16
16
16
2
0
0
0
8
16
16
16
1
48
0
0
0
0
1
1
1
1
1
8
8
0
16
16
16
16
16
16
30
0
3
2
2
16
16
8
16
0
14
14
32
32
16
29
13
0
0
0
8
8
0
0
0
8
8
8
8
8
8
8
16
16
0
0
16
0
0
0
8
0
24
24
8
8
8
8
0
8
0
0
8
16
16
16
2
2
2
16
4
2
16
2
18
8
16
20
20
20
8
2
2
2
2
2
2
2
2
0
0
8
8
8
8
8
8
8
16
16
8
16
32
32
32
32
32
8
0
0
0
4
8
12
1
0
0
8
8
8
0
8
8
24
17
1
8
0
0
8
8
8
8
0
0
2
2
0
0
0
0
0
16
0
0
4
0
8
0
16
16
16
4
4
28
5
5
16
16
16
16
16
8
0
0
0
2
2
49
4
4
1
16
0
8
8
8
8
8
16
8
8
4
4
8
8
8
2
2
5
5
5
5
5
5
0
0
0
2
2
8
8
28
16
16
16
16
16
16
1
24
6
8
8
8
0
0
17
4
4
4
8
8
8
8
8
24
8
16
16
8
8
8
16
16
6
0
4
8
8
4
1
8
8
8
8
4
4
2
32
1
0
0
1
1
32
32
32
32
32
8
8
8
8
8
32
32
1
0
0
0
18
3
0
0
8
16
16
0
0
0
24
5
0
0
8
8
8
2
16
32
32
1
1
1
1
1
1
1
1
0
16
16
16
24
24
17
17
17
4
8
4
1
16
16
32
32
8
8
8
8
16
16
8
8
8
16
8
8
8
8
8
0
40
32
32
32
8
8
8
8
8
0
4
4
16
8
1
1
16
8
16
0
0
1
0
16
8
8
4
4
1
32
32
32
0
0
8
0
8
0
0
0
8
2
8
0
16
16
16
16
38
16
1
1
1
0
0
0
0
16
16
16
0
28
1
0
0
0
5
16
16
16
32
16
16
4
0
24
3
41
8
8
8
16
16
0
0
0
0
4
8
8
4
4
48
16
0
9
9
1
4
0
0
0
8
16
0
8
8
16
16
0
32
44
0
0
0
0
0
0
0
8
8
8
0
8
0
0
0
0
0
16
16
16
8
8
0
0
4
4
1
8
8
5
1
16
0
16
8
8
0
16
8
16
8
23
23
23
16
0
4
4
4
16
16
0
16
16
0
0
0
8
8
8
8
4
16
16
16
8
8
8
8
16
16
0
0
0
1
1
2
2
0
8
25
8
8
11
8
56
56
56
0
16
0
0
8
1
22
0
32
8
16
0
0
32
1
1
8
8
8
16
16
4
4
8
8
4
8
8
8
8
8
8
8
1
1
8
8
8
2
2
0
0
0
16
16
16
16
0
8
16
16
16
16
16
16
8
0
8
8
8
8
0
0
16
1
1
0
1
8
16
16
16
0
0
0
4
4
24
13
13
13
13
8
4
4
4
0
0
0
16
8
8
4
0
0
0
8
0
1
1
1
4
4
4
4
2
2
0
16
16
16
16
16
16
16
1
8
0
0
16
0
8
8
4
4
4
4
4
0
0
9
9
8
33
33
1
1
16
16
32
32
48
10
8
8
8
8
8
8
16
1
16
16
0
8
16
16
0
0
16
16
16
17
1
0
0
0
16
16
8
8
8
8
8
1
2
2
2
8
8
8
8
1
16
0
0
0
0
0
0
0
16
24
24
1
8
16
16
16
8
16
16
24
29
29
29
29
29
2
2
16
16
16
8
0
4
8
0
8
8
8
0
8
16
16
16
16
4
16
16
2
2
2
2
0
4
0
0
17
17
33
16
0
0
0
16
16
16
16
8
8
8
8
8
4
0
16
1
0
0
0
16
0
8
16
8
8
8
8
8
8
8
1
1
1
0
8
4
4
8
8
0
16
16
16
0
4
16
0
0
0
4
8
0
39
16
0
0
0
0
0
16
8
8
16
16
0
1
0
53
16
17
28
28
28
8
0
4
4
32
1
49
49
49
0
0
8
0
0
4
24
8
0
8
16
24
0
24
8
8
0
0
8
22
6
16
0
1
8
16
4
0
0
0
4
4
4
0
0
0
0
0
16
1
1
1
10
8
2
8
0
0
0
0
0
0
0
0
4
16
32
32
32
8
8
8
22
22
0
2
10
2
2
2
2
0
0
16
16
0
16
16
16
32
8
8
1
8
8
8
2
16
16
16
16
16
16
16
16
16
0
0
0
8
0
8
8
16
8
1
0
0
44
44
44
0
4
4
16
0
33
33
16
16
16
0
0
0
0
4
4
4
8
8
16
12
8
8
8
16
16
16
16
17
8
8
8
8
8
8
8
8
14
14
2
8
44
0
56
8
8
8
8
1
1
1
1
1
1
1
1
1
1
1
1
1
8
0
8
0
0
0
0
1
1
1
8
8
24
17
17
16
0
0
1
1
2
24
24
24
8
0
8
8
16
0
16
0
0
8
8
8
8
4
16
0
0
0
16
20
1
56
0
0
0
1
16
16
0
0
18
18
4
4
8
0
8
8
8
8
8
8
8
8
8
8
16
1
17
0
0
0
24
24
20
0
56
24
8
4
0
8
0
4
4
4
16
16
16
16
16
2
2
16
0
32
32
8
2
0
16
16
16
1
4
8
20
6
4
4
4
4
8
8
8
16
2
0
12
8
1
1
1
1
1
1
1
1
1
1
28
28
28
28
16
24
25
9
9
9
4
4
4
4
4
4
4
4
4
48
48
48
4
16
0
32
0
0
1
0
0
0
0
0
0
1
1
8
8
16
0
16
8
16
40
9
16
16
2
8
16
0
0
0
0
1
8
1
59
59
59
0
8
0
0
16
16
4
0
32
32
16
16
20
20
4
4
4
8
0
0
2
2
2
16
16
16
0
16
2
2
2
2
16
16
24
0
16
1
32
32
32
32
32
8
2
0
17
9
1
0
8
0
8
8
16
8
16
8
0
16
0
0
0
12
8
16
16
24
24
8
8
8
2
2
2
0
0
8
8
16
16
16
8
1
1
2
8
8
8
8
8
8
0
0
8
8
0
24
8
8
8
16
16
16
16
16
10
24
24
1
16
8
32
32
32
1
1
1
1
1
1
1
1
16
16
24
24
0
1
0
0
0
0
9
8
8
1
0
0
8
40
40
0
0
16
1
1
2
3
16
16
16
8
8
8
1
1
1
8
0
4
8
0
0
0
32
9
8
8
0
8
20
20
20
20
0
0
0
32
8
16
16
16
8
8
4
4
0
4
4
4
0
0
1
8
32
24
24
8
0
0
8
8
8
8
8
0
28
0
0
0
0
0
2
2
20
16
0
10
10
10
10
1
1
1
1
16
2
2
2
48
0
8
8
24
0
0
1
1
17
8
8
16
0
0
46
46
8
8
16
0
0
0
1
0
8
0
2
2
2
8
0
0
0
0
8
12
12
8
0
8
16
16
0
0
0
16
16
8
8
0
8
8
8
16
8
8
0
0
0
0
0
8
0
8
8
8
0
0
0
16
8
8
0
0
20
16
0
0
0
8
8
8
0
8
0
0
0
0
0
0
0
17
17
17
17
17
0
16
0
0
0
0
0
0
1
0
16
16
16
16
8
8
8
8
18
18
18
1
4
16
16
16
10
0
32
2
0
0
0
2
8
8
8
8
8
8
0
0
4
0
8
0
16
16
0
0
0
8
8
0
0
8
8
8
8
8
24
8
8
16
16
16
32
32
8
0
24
4
17
0
0
0
0
0
0
0
0
0
8
0
0
2
8
8
8
20
16
16
16
0
0
0
0
0
0
1
8
8
0
8
8
16
0
0
25
0
0
8
0
0
4
16
0
16
0
0
0
0
2
16
16
16
0
0
4
0
0
0
0
0
0
0
8
0
0
0
18
2
0
16
8
0
0
8
0
8
8
8
0
0
16
8
0
0
0
1
1
8
0
8
0
0
0
0
0
8
0
0
8
16
21
0
0
0
0
8
0
0
0
0
0
0
0
0
16
16
0
16
8
20
8
8
8
0
0
0
0
24
0
0
18
4
8
4
8
8
0
0
8
0
0
0
0
0
0
20
0
0
0
0
0
0
8
0
12
0
0
0
0
1
1
8
16
18
8
8
4
4
4
0
0
0
0
0
0
4
8
0
0
20
0
0
0
0
16
4
0
16
16
16
16
8
16
0
0
0
0
16
16
8
8
0
16
16
0
0
1
0
0
8
8
8
8
8
8
8
8
16
1
20
16
0
0
0
0
0
4
0
0
0
0
4
4
4
4
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
16
8
8
8
8
8
16
16
16
8
0
0
16
49
49
0
0
8
8
8
8
8
2
2
2
1
0
4
0
37
37
4
4
4
2
0
8
48
0
0
0
0
0
0
0
1
1
1
0
0
0
8
0
0
1
1
1
1
1
1
1
1
1
1
0
0
0
0
1
1
6
4
8
16
0
0
0
8
8
0
0
4
12
0
0
6
6
6
6
0
0
0
0
8
8
20
20
0
0
0
0
0
0
0
4
0
0
60
60
24
0
7
0
0
8
8
10
0
8
8
0
0
0
0
0
0
0
2
16
16
16
16
16
0
8
0
0
16
0
0
2
2
2
0
0
4
16
8
16
4
4
16
0
8
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
20
0
8
8
8
0
0
0
0
0
16
16
2
16
24
0
0
16
16
16
4
4
4
0
0
0
0
0
8
8
8
0
0
8
8
4
4
4
0
0
0
0
2
8
0
0
2
2
8
8
8
4
2
4
16
16
17
8
8
4
0
8
10
8
4
4
0
0
0
0
0
8
0
0
0
4
0
4
1
8
0
0
0
8
8
4
0
1
1
0
0
0
0
8
4
8
0
0
8
32
32
32
0
0
0
0
0
8
16
8
8
8
8
0
0
8
4
0
4
4
0
0
0
0
8
4
0
0
0
0
0
8
8
8
16
0
0
0
1
16
25
0
16
16
16
24
8
25
0
0
8
8
8
8
8
8
0
0
0
0
0
18
0
0
0
0
1
0
0
0
8
8
8
10
0
0
1
1
1
1
8
0
0
0
16
8
8
0
0
0
0
0
13
0
0
16
4
0
0
0
0
17
6
4
24
8
14
32
8
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
4
4
0
8
8
0
0
0
8
0
16
16
0
0
0
0
0
0
0
16
0
16
16
8
8
0
0
8
0
0
0
16
0
0
9
9
9
9
0
0
0
0
0
0
8
16
16
16
16
16
16
8
8
8
0
8
0
0
0
0
8
16
0
0
8
0
4
16
8
8
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
8
16
16
0
0
16
0
0
24
0
32
8
8
0
16
16
1
1
0
16
16
16
0
0
0
0
8
4
0
0
10
0
8
16
8
16
32
32
8
0
0
1
0
0
0
16
16
16
0
16
16
0
8
1
3
0
2
2
2
16
16
16
0
4
0
4
4
4
12
12
12
12
8
16
8
28
24
17
8
8
4
10
10
1
1
16
0
8
0
16
0
0
16
0
0
0
0
0
4
1
0
0
18
0
4
0
0
0
8
0
0
0
0
0
8
8
0
0
16
16
16
0
8
0
21
21
21
16
20
0
0
20
8
8
0
8
8
8
8
0
2
2
8
2
1
16
17
0
0
0
0
4
4
36
8
57
57
0
16
16
16
18
16
0
8
8
8
0
0
0
0
0
0
6
16
16
4
4
0
0
4
16
44
0
0
17
0
8
0
16
16
2
3
24
0
0
0
4
8
0
0
0
2
0
0
16
16
2
0
8
0
16
0
0
1
8
0
0
0
0
8
0
32
0
0
0
16
16
10
16
0
0
0
0
0
0
0
36
1
1
0
8
49
0
8
8
0
8
1
1
8
0
0
0
32
16
16
0
0
0
0
0
0
0
20
20
1
0
0
0
24
24
42
42
42
41
0
8
0
0
0
0
8
8
8
0
0
0
0
0
0
2
2
2
2
2
8
8
8
8
0
0
8
0
0
8
8
18
18
18
1
32
32
2
0
0
0
0
0
1
0
8
0
0
0
8
8
0
16
8
0
0
2
4
0
0
0
16
16
0
0
0
32
32
32
0
16
16
12
27
0
9
0
0
0
0
0
0
28
0
0
9
9
17
17
17
8
0
0
0
16
0
0
0
0
0
16
16
8
8
8
0
0
8
0
0
0
0
8
0
0
6
0
0
0
56
0
0
48
0
0
0
0
4
2
0
8
24
24
16
16
16
8
0
3
0
0
8
8
17
0
0
16
16
36
36
0
0
0
0
0
4
1
1
0
16
9
8
8
8
4
4
0
16
16
0
0
2
2
2
0
8
20
20
0
1
0
8
24
24
0
0
20
20
20
20
0
17
0
8
0
0
0
8
0
0
0
0
19
0
0
0
0
0
0
0
0
0
0
16
0
0
4
9
1
1
32
32
16
16
8
0
3
4
0
8
0
8
0
16
8
0
2
0
2
0
2
16
16
16
0
0
8
0
0
24
8
8
0
0
0
0
16
0
0
0
0
8
8
2
2
0
0
0
0
0
13
4
6
9
16
0
0
0
8
0
1
0
0
0
0
0
0
0
0
0
8
32
2
16
1
0
0
0
0
16
16
2
2
2
0
0
0
0
0
1
1
0
0
16
16
1
8
0
32
0
0
16
16
16
8
0
0
0
0
0
16
0
8
0
8
8
8
0
0
16
8
8
0
0
0
0
0
8
0
0
0
0
0
24
0
0
4
5
16
0
0
0
0
0
4
2
0
0
24
16
0
0
0
8
8
8
8
0
28
28
16
16
0
36
8
8
0
0
0
8
27
0
16
16
16
0
36
36
0
0
8
33
33
0
0
0
0
0
0
0
2
2
2
0
26
24
0
18
2
16
0
0
16
16
16
0
0
2
4
0
0
2
2
0
8
8
8
16
8
0
32
1
1
0
0
0
16
0
0
8
8
8
22
22
0
0
20
8
0
0
8
0
0
48
0
0
0
2
21
21
1
0
8
8
8
8
8
0
0
0
1
0
0
0
0
0
8
8
8
0
0
0
8
8
33
33
4
20
0
0
0
0
24
0
0
24
16
16
0
0
8
16
0
0
0
0
0
12
12
0
0
0
8
8
10
2
0
0
0
0
12
0
8
0
0
0
0
0
0
1
16
0
4
8
0
0
16
1
9
4
8
8
8
0
0
0
0
8
0
0
8
8
8
0
16
0
8
0
0
0
0
1
0
0
16
0
0
0
4
1
1
0
0
0
9
2
0
0
0
16
16
16
16
0
0
0
8
8
8
4
4
4
4
16
4
0
0
0
2
2
0
0
24
8
16
0
0
4
1
0
8
8
8
5
5
16
16
16
27
0
16
16
16
16
16
1
8
8
0
1
0
4
8
2
2
2
2
2
2
2
6
4
4
0
8
8
8
0
0
2
8
0
0
16
0
0
18
2
2
2
8
2
0
8
8
1
0
17
6
0
8
0
1
1
2
16
16
16
16
0
0
0
0
16
16
16
16
8
8
8
2
8
8
8
0
0
0
0
2
4
4
9
0
0
0
0
32
0
0
0
29
16
8
0
0
0
0
8
8
8
0
0
0
0
0
0
0
20
0
0
0
0
2
8
0
0
0
9
0
0
0
0
16
0
0
0
0
16
16
0
0
8
0
0
8
8
0
0
0
0
0
8
0
1
2
16
0
0
0
0
0
0
0
4
4
4
4
4
4
4
4
4
1
1
0
25
0
0
0
16
16
16
0
0
8
8
8
24
24
24
0
0
0
0
0
24
4
0
0
12
12
0
0
0
8
8
0
8
8
0
16
16
12
12
0
8
0
0
8
0
0
0
17
0
0
2
0
8
8
0
0
0
16
24
8
0
0
3
7
7
16
0
8
8
0
0
0
0
0
28
28
0
8
4
0
0
1
16
8
16
0
0
0
0
0
0
0
0
0
24
0
0
0
0
0
0
0
1
0
8
8
0
0
0
0
0
0
0
0
0
48
0
0
0
0
8
8
8
33
33
0
0
8
0
24
0
16
0
0
0
0
0
16
16
0
0
8
0
0
0
0
8
8
8
8
0
0
0
0
0
0
0
28
0
0
0
0
0
0
8
8
8
8
0
0
0
0
0
0
0
16
16
0
4
4
8
0
16
16
0
0
0
0
0
0
0
0
45
2
2
8
8
8
8
0
8
0
0
0
0
0
4
4
4
0
16
0
4
8
4
16
8
8
0
16
0
0
0
8
0
0
16
0
8
16
8
0
8
24
0
8
8
8
4
4
4
8
4
0
9
0
0
0
0
0
0
0
1
0
0
8
0
0
0
8
32
2
1
8
24
1
0
24
24
0
0
0
0
0
0
0
16
0
20
0
0
0
1
0
8
0
0
0
0
0
0
8
8
8
8
1
0
0
0
16
4
4
0
0
0
0
0
0
0
1
1
8
8
0
16
0
0
0
8
0
8
4
16
0
0
0
0
16
16
0
8
8
0
0
0
0
8
0
8
8
16
16
0
2
4
4
4
0
4
0
0
8
0
0
0
0
0
10
0
18
8
2
0
16
0
0
16
16
16
16
16
0
0
16
58
0
4
16
16
16
8
2
0
0
0
8
0
2
0
0
16
0
8
0
0
33
0
0
0
0
8
8
0
0
0
0
0
8
0
8
0
0
0
8
0
0
0
0
0
8
16
8
0
16
8
16
2
2
0
8
8
0
8
0
8
0
8
8
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
8
0
1
2
2
2
0
8
9
0
2
0
8
8
8
8
0
0
0
0
0
1
1
24
12
0
0
8
8
8
0
0
0
0
0
0
0
0
8
8
0
0
0
0
8
8
0
24
0
0
0
0
0
0
0
0
0
0
16
16
0
0
8
8
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
16
1
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
16
8
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
16
12
1
1
0
0
0
8
0
1
1
0
0
0
16
16
16
16
16
4
8
0
0
0
0
0
12
0
8
4
1
1
1
0
8
8
12
0
0
0
0
0
0
16
16
2
0
0
0
0
8
9
0
0
0
0
0
8
8
8
8
8
0
8
8
0
1
0
10
4
4
4
4
6
9
0
0
0
0
26
0
0
0
0
0
0
40
40
0
8
2
2
0
0
2
0
0
16
4
0
8
0
0
32
32
32
0
0
0
4
4
29
25
8
0
0
0
24
0
1
1
16
0
0
8
8
0
0
1
0
0
4
16
0
0
1
1
10
8
0
8
0
0
0
0
0
17
24
48
0
0
19
0
0
0
0
20
4
16
16
4
0
0
8
0
0
0
0
8
0
0
16
16
20
10
16
8
0
4
0
8
0
0
0
16
16
9
0
0
16
16
8
1
0
8
1
1
0
0
0
0
8
8
8
0
0
0
8
0
16
0
0
0
0
0
24
24
0
0
0
0
1
1
0
1
1
0
16
0
0
8
2
1
32
32
4
4
4
0
0
16
0
0
16
0
0
8
0
16
5
5
0
0
4
3
3
8
8
40
2
0
0
0
20
0
16
16
0
1
0
0
0
10
10
0
0
24
0
0
0
0
0
8
8
0
0
1
8
0
0
1
1
0
0
0
8
8
0
0
8
8
8
0
8
8
8
16
0
0
0
0
2
0
0
0
16
0
0
0
8
8
4
16
16
16
8
0
8
0
10
0
0
0
2
0
0
0
16
8
8
8
16
1
1
1
1
0
1
0
0
32
0
2
0
20
8
8
0
0
0
16
16
2
0
0
17
17
8
16
0
16
0
0
16
16
8
0
0
17
16
1
1
1
0
19
19
19
16
8
8
0
0
0
0
0
0
8
0
8
0
0
2
0
0
0
0
0
0
1
0
0
0
0
8
8
0
4
4
8
0
0
0
16
16
0
0
2
2
2
2
0
6
6
6
6
6
0
0
0
0
0
10
0
0
6
0
24
0
0
12
16
16
0
8
2
0
0
24
24
0
2
2
8
0
8
0
16
16
16
16
0
0
20
0
16
16
0
0
0
1
0
0
20
0
8
0
3
3
3
8
0
0
0
0
0
2
2
2
2
2
16
0
0
0
0
0
16
16
16
16
0
4
21
21
9
16
9
9
9
8
4
8
8
8
8
8
8
0
0
0
0
4
4
4
4
8
8
1
1
16
16
16
0
8
0
0
0
16
16
18
18
4
0
8
8
28
8
16
16
16
0
0
8
8
1
10
10
10
10
0
8
8
0
0
4
4
0
2
2
0
0
8
8
0
0
12
0
0
0
0
0
0
2
0
0
16
16
4
4
0
0
0
0
0
0
20
0
8
16
0
0
0
0
0
4
4
8
16
8
8
16
16
16
0
0
0
0
0
8
0
0
0
0
8
8
8
0
4
4
0
16
16
25
25
25
25
25
0
0
0
8
16
8
19
19
19
18
8
8
8
8
1
1
1
16
0
0
0
4
0
0
0
16
8
8
8
0
0
16
16
16
8
8
8
8
2
2
2
0
20
8
7
0
24
24
0
0
0
16
16
16
16
0
0
0
0
6
16
0
1
4
4
0
0
0
0
0
16
8
4
32
8
8
8
0
8
0
0
0
0
8
4
0
0
0
4
8
16
2
0
2
2
0
16
24
0
3
3
3
0
0
0
8
8
0
0
22
0
0
0
8
8
8
24
0
8
4
0
2
2
2
0
0
0
2
0
0
16
0
44
0
16
16
16
32
8
16
16
0
3
8
0
0
8
8
8
12
0
8
16
16
16
16
19
16
16
16
9
9
8
4
16
16
0
16
16
0
8
8
6
2
2
16
16
16
16
16
16
16
32
0
1
1
2
0
16
17
17
17
17
4
4
4
4
4
4
0
8
8
8
8
8
0
0
8
8
8
16
2
32
3
1
8
17
0
0
0
0
16
16
16
17
17
0
8
0
4
4
8
8
0
8
8
0
0
1
1
8
8
8
2
8
4
4
4
1
8
8
8
0
0
0
24
0
16
8
0
0
1
8
0
0
8
8
8
0
0
16
0
4
4
4
4
0
0
0
0
0
0
0
0
16
16
16
0
0
2
2
2
0
0
8
32
32
32
8
8
8
0
1
1
1
1
16
32
16
16
0
0
2
2
2
0
40
17
0
0
0
0
0
0
24
0
0
16
8
4
4
8
8
8
8
8
20
20
0
0
0
8
16
16
0
0
18
8
8
0
2
2
16
16
16
4
24
0
16
16
16
16
8
8
8
0
1
8
16
8
0
8
0
0
8
2
8
8
8
8
8
0
8
8
8
8
8
8
16
16
16
16
0
16
16
16
8
8
48
48
48
48
48
48
48
16
16
18
16
6
16
4
4
4
4
4
4
4
12
8
4
0
2
2
2
0
0
0
0
0
0
1
18
0
8
8
0
4
0
8
16
28
28
4
4
4
8
0
0
0
1
1
1
1
4
4
0
0
16
16
16
8
8
8
16
16
16
16
8
20
20
20
1
1
8
8
8
8
32
32
32
8
8
0
0
0
0
0
8
8
8
0
8
0
0
0
0
0
0
0
0
8
32
0
0
0
8
0
8
34
1
8
8
2
2
2
0
8
0
0
0
1
8
16
0
0
0
0
8
8
8
8
8
8
8
8
8
0
0
0
4
1
33
1
1
2
8
8
8
0
0
0
4
0
8
8
8
16
16
0
41
41
0
0
0
0
0
0
0
0
0
0
16
4
8
32
0
16
16
0
16
24
1
0
16
16
16
16
0
8
24
1
8
8
0
8
8
8
0
8
8
8
16
16
16
16
4
4
8
8
8
8
8
8
8
49
2
16
16
16
16
8
8
16
16
0
0
0
0
0
0
25
8
16
16
16
16
16
16
16
16
16
16
0
0
0
28
8
16
0
1
0
26
26
0
0
8
8
16
8
8
1
16
16
0
8
8
16
16
1
8
8
8
8
8
24
24
0
17
16
16
8
32
32
8
2
0
0
0
0
8
8
8
16
16
18
18
18
18
0
16
0
1
24
1
1
4
4
0
16
16
16
16
16
16
27
27
27
27
16
16
8
8
8
8
16
20
16
16
16
0
48
48
48
0
0
0
0
0
0
0
8
1
1
0
0
16
0
0
16
16
24
0
0
0
0
4
8
8
8
8
2
8
1
1
0
8
0
16
16
16
8
0
0
2
2
2
2
8
0
8
8
8
2
4
4
4
8
0
8
0
0
0
8
0
4
4
4
0
0
2
8
8
0
16
4
0
0
8
8
0
8
0
0
0
8
8
8
8
9
0
8
8
8
16
4
4
4
4
8
16
2
2
24
24
24
24
16
1
1
1
1
6
0
0
0
0
4
1
1
8
8
16
8
8
16
0
9
8
16
8
8
16
16
16
16
16
8
8
16
1
16
16
0
0
0
16
32
32
0
8
8
4
8
0
0
32
0
0
8
0
16
0
16
16
16
16
0
0
4
0
0
8
8
8
8
8
8
16
16
0
0
0
15
14
14
16
8
34
34
34
34
8
8
0
0
16
1
34
8
8
8
1
1
0
0
8
8
8
8
8
8
1
8
8
8
8
4
0
0
0
8
0
16
0
0
4
4
4
4
16
0
0
0
16
0
0
0
8
9
9
9
0
8
1
8
8
0
8
4
4
16
0
0
0
0
8
16
16
8
8
32
4
8
8
8
17
17
24
24
3
3
0
0
0
0
0
24
16
0
0
16
16
8
8
8
8
0
0
0
0
0
0
0
8
8
0
0
0
8
16
1
1
16
8
8
8
16
0
1
8
8
8
0
0
16
12
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
16
1
16
8
8
8
8
0
32
0
0
0
0
0
8
8
8
0
20
20
16
16
16
21
0
16
2
16
6
6
50
24
4
4
4
4
16
16
0
20
8
16
16
4
16
16
8
2
24
24
8
8
8
4
4
1
1
0
12
12
12
12
12
8
8
8
4
0
0
0
0
4
0
12
16
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
16
16
16
16
16
16
16
4
4
4
16
1
1
48
8
2
2
1
1
1
4
8
24
8
5
5
8
8
2
1
8
8
4
4
4
24
24
24
0
0
16
16
0
0
0
0
0
0
0
8
8
0
8
0
16
0
0
4
16
17
17
0
8
8
16
2
8
0
0
8
16
16
4
4
28
28
0
0
12
8
1
1
1
8
0
16
0
8
8
8
8
0
16
16
16
16
8
48
8
8
0
0
0
0
0
0
0
0
8
8
0
4
16
20
20
20
0
0
0
4
2
16
16
8
0
0
8
8
8
4
4
16
16
16
32
32
32
0
8
8
32
8
8
8
8
16
16
16
16
8
8
0
32
32
4
4
4
16
2
24
24
24
24
24
0
0
0
1
8
32
32
4
0
0
0
1
1
0
0
0
16
0
0
0
0
0
8
0
0
0
0
8
8
8
0
17
16
0
1
1
0
8
2
0
0
8
0
0
0
0
16
16
16
0
0
0
16
4
8
24
24
0
0
8
8
8
4
8
8
8
8
8
1
16
0
0
8
0
0
8
16
8
8
8
16
8
16
16
16
16
16
16
16
16
16
16
8
8
16
16
16
0
0
4
4
4
0
0
16
28
28
28
28
8
24
8
22
16
4
16
16
0
1
1
32
32
32
24
1
1
1
8
1
8
8
16
16
16
16
16
8
4
0
8
8
8
8
8
8
0
0
2
16
32
32
0
8
16
16
16
8
0
0
0
2
0
4
8
0
0
0
0
16
13
4
0
0
0
0
32
16
16
16
16
16
16
1
8
8
25
9
8
8
8
8
16
16
2
2
16
16
2
2
8
4
8
8
8
8
0
0
0
0
0
24
24
0
8
9
8
16
0
8
0
8
8
8
0
8
0
0
1
8
8
8
8
0
16
8
8
1
1
16
8
8
0
1
0
0
0
0
16
8
0
0
0
0
0
2
24
0
0
0
8
8
0
21
18
0
32
32
32
32
8
8
0
0
0
16
8
4
4
4
16
32
32
0
0
0
0
1
4
0
8
16
16
0
0
16
0
8
8
8
8
8
8
16
8
0
0
0
0
0
0
0
2
0
0
8
8
16
16
1
8
16
16
16
16
16
16
16
16
16
16
16
16
16
16
0
0
1
1
0
0
0
0
0
8
16
16
16
16
16
16
16
2
6
2
2
2
2
18
0
8
8
0
0
8
8
1
1
1
0
16
0
4
4
26
0
0
0
0
0
8
0
16
8
16
0
0
0
0
0
0
4
4
0
0
8
8
0
16
0
8
8
0
0
4
4
0
0
0
1
16
16
8
8
0
0
0
0
0
0
4
4
4
0
0
24
0
8
8
0
0
2
16
16
16
0
8
8
0
0
8
8
8
2
19
0
0
0
8
4
0
0
8
16
16
0
2
8
0
16
16
0
0
0
0
0
0
8
8
8
8
8
0
0
34
34
8
0
2
2
24
0
0
8
0
1
16
16
16
16
16
16
16
56
0
0
0
1
1
4
56
0
16
8
8
2
0
0
0
0
4
4
4
8
0
4
0
0
0
16
16
0
32
0
1
0
0
8
8
8
8
8
8
0
8
0
0
8
2
16
0
1
4
4
4
4
0
0
0
0
18
16
0
8
8
8
5
0
0
2
2
30
16
16
0
16
16
16
8
4
4
4
16
1
0
16
16
0
16
8
2
2
2
3
2
0
4
4
4
4
4
0
2
2
8
24
24
28
24
0
16
8
8
0
2
32
16
16
16
16
2
0
2
8
8
8
8
8
8
8
8
4
4
17
8
8
16
12
0
0
16
16
16
8
16
1
8
0
0
8
0
8
8
0
0
0
0
0
0
8
8
8
4
4
4
8
4
4
0
17
16
16
1
1
0
0
6
0
8
8
2
0
16
16
16
0
0
4
16
4
0
0
0
0
0
0
0
0
0
16
16
4
8
8
0
0
0
0
0
0
48
8
8
0
0
8
8
24
20
0
0
6
2
2
0
0
0
0
4
0
16
0
8
8
8
8
1
5
0
16
16
0
1
4
16
16
16
2
0
16
16
2
2
16
4
16
16
16
0
0
40
16
16
16
16
16
16
0
0
32
32
32
32
32
32
0
0
2
2
2
2
2
0
0
0
2
32
9
32
32
25
24
16
16
4
0
8
0
8
0
16
24
24
16
16
16
4
4
4
0
0
0
0
16
0
16
0
0
0
0
16
0
0
0
0
0
0
0
0
20
8
1
0
0
0
0
0
16
0
21
8
8
8
0
0
0
0
16
16
0
0
0
8
8
16
16
0
0
0
0
8
8
8
0
0
8
8
0
32
16
16
8
0
8
0
24
25
16
4
8
0
8
8
8
0
0
8
0
8
8
8
8
24
8
0
2
16
16
0
8
32
8
8
4
0
0
0
0
16
16
1
0
8
8
8
0
2
2
0
0
8
2
0
8
20
16
16
16
16
16
16
0
0
0
0
0
0
0
8
0
0
0
21
5
4
8
8
8
8
8
0
0
16
9
34
0
8
8
4
4
4
9
4
16
0
2
2
16
16
16
48
0
0
0
16
16
2
2
2
2
2
0
0
4
0
0
8
0
16
16
8
8
1
1
8
0
17
16
16
2
2
2
0
9
8
4
4
4
0
0
0
0
0
0
1
16
8
8
0
24
16
0
8
1
1
1
8
8
0
8
8
8
8
24
8
8
24
0
0
0
0
0
8
5
13
8
8
4
16
16
24
13
8
40
40
40
40
0
2
9
4
16
0
0
0
0
0
0
16
8
8
8
8
0
16
16
0
2
8
4
20
4
4
1
0
0
0
0
8
2
0
24
24
32
32
0
4
4
0
20
16
16
16
0
0
0
0
8
4
5
5
12
8
8
0
0
0
10
0
0
8
0
0
0
0
0
0
4
0
4
9
8
8
8
9
9
9
9
9
9
9
16
0
0
8
8
8
4
4
4
16
1
0
0
0
0
4
4
8
16
0
0
0
2
0
1
1
4
0
0
2
32
8
16
16
16
16
0
0
0
1
16
0
16
16
0
0
8
0
0
4
4
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
2
8
8
20
2
0
0
0
1
1
1
16
8
8
0
0
0
24
16
16
16
0
0
0
1
2
0
32
8
1
16
16
16
16
24
1
1
4
4
2
0
0
0
0
16
0
0
4
16
8
8
8
8
8
8
16
0
32
0
0
2
2
16
16
20
8
8
8
16
16
0
0
0
0
0
0
12
0
16
16
0
4
18
18
16
16
1
8
8
8
0
20
16
16
16
16
1
1
0
0
16
16
0
0
0
8
8
8
0
8
8
8
8
0
8
16
0
8
1
1
16
8
16
16
16
32
32
32
58
8
8
16
0
0
0
0
0
0
0
0
16
16
16
16
16
0
0
16
16
16
8
4
12
4
8
1
16
0
0
16
8
0
2
2
2
2
2
4
4
16
16
8
8
8
0
0
16
16
0
0
28
16
4
1
16
16
4
8
17
16
0
0
0
8
1
9
0
8
24
0
0
18
18
8
16
16
16
4
24
8
0
0
0
0
16
16
16
0
1
0
0
8
8
8
8
8
8
8
29
29
6
4
0
0
16
16
16
16
16
16
16
16
2
2
32
32
32
1
0
2
16
16
6
6
8
8
0
0
8
2
2
2
0
0
0
0
1
2
2
2
16
16
16
16
16
16
8
16
16
16
4
12
1
1
1
8
8
0
0
1
1
1
1
0
0
0
0
3
2
2
17
16
8
16
0
2
2
2
8
8
8
0
8
16
16
16
16
16
0
0
0
2
0
1
4
0
0
0
0
8
16
0
8
16
16
16
16
0
8
0
0
0
0
4
4
4
8
2
8
20
0
1
4
4
0
1
1
1
0
32
32
32
32
8
0
4
8
16
0
8
8
0
0
8
8
16
16
16
16
16
16
16
0
0
2
0
0
0
0
1
16
0
0
0
0
16
16
16
2
8
8
8
16
16
8
8
8
8
8
8
24
0
0
2
4
0
0
4
4
4
0
16
0
48
16
3
12
8
8
0
4
4
0
0
0
0
0
0
8
0
8
8
8
0
0
0
0
0
0
24
1
0
0
16
16
0
0
0
4
4
16
0
0
0
0
0
0
8
8
8
16
8
0
8
0
8
8
8
0
0
4
4
16
16
8
8
8
8
0
0
24
0
0
0
0
0
0
0
0
16
16
0
0
4
4
0
16
0
4
0
0
0
0
0
0
4
16
0
0
0
0
0
0
16
16
16
8
8
16
16
4
0
24
24
17
17
0
16
16
0
0
0
0
2
8
8
8
8
22
22
0
0
0
0
8
8
8
0
1
8
16
16
0
16
16
16
16
32
8
8
8
8
0
0
8
8
4
16
16
16
8
8
0
32
32
0
0
16
4
4
0
0
0
0
0
0
0
0
16
4
4
0
0
0
0
0
4
16
0
0
0
8
34
34
0
9
8
8
8
1
1
1
1
1
1
2
8
0
0
0
1
8
2
8
48
48
48
0
0
1
0
8
8
4
22
8
38
38
38
38
38
18
8
16
16
0
8
8
8
8
8
0
0
0
8
0
0
0
25
0
8
16
8
8
8
8
0
0
0
16
28
16
16
16
16
16
16
16
56
0
8
16
0
4
4
0
0
24
8
8
34
34
34
0
4
16
4
1
1
0
8
24
1
4
0
16
16
0
2
2
0
0
0
32
32
16
16
16
16
16
16
22
8
16
16
0
24
8
16
16
0
8
8
8
0
0
17
4
0
8
8
16
4
8
8
8
0
8
8
0
8
1
1
1
14
0
8
8
0
0
0
0
4
4
4
8
0
4
32
8
8
8
8
0
0
0
8
8
2
1
16
16
16
8
8
1
57
0
16
16
0
0
16
16
12
8
0
1
8
8
8
8
8
8
0
1
1
1
1
0
0
0
8
16
0
0
4
4
20
16
16
16
16
0
8
8
8
0
8
8
0
0
16
16
0
0
16
8
16
0
8
8
24
24
24
0
0
4
0
32
8
8
8
8
8
8
1
0
0
0
8
8
8
8
0
1
8
0
1
8
0
8
8
8
8
8
16
8
0
0
14
28
28
28
28
0
8
8
16
16
16
0
8
8
8
1
3
1
25
24
24
8
8
0
8
8
4
0
0
40
0
2
2
0
0
0
8
0
2
2
24
8
24
0
16
7
1
0
5
5
8
8
8
8
8
2
0
0
0
0
0
8
8
2
2
8
8
8
8
0
0
16
16
8
8
8
0
16
0
0
18
18
16
0
8
0
17
16
0
16
8
16
0
0
16
16
16
0
0
0
0
0
2
18
6
1
2
2
8
0
0
24
0
16
8
1
0
6
6
8
8
8
8
0
8
8
18
8
8
8
0
0
0
0
1
16
16
0
0
0
0
0
0
0
8
8
8
32
32
0
8
1
8
0
11
6
6
6
0
8
8
4
4
4
2
6
2
0
0
0
0
0
0
0
0
0
16
32
4
8
8
8
8
0
8
8
8
2
0
8
0
0
0
0
8
8
8
8
1
0
4
0
0
0
0
0
0
9
9
16
16
8
8
8
0
0
0
0
8
8
16
16
16
16
16
16
2
0
0
2
2
8
8
0
0
0
0
0
0
0
0
0
0
7
0
32
4
4
8
8
16
16
1
8
8
8
18
40
4
0
0
16
8
8
0
8
8
8
8
8
0
16
32
32
0
0
0
16
0
8
8
8
16
8
0
16
16
0
0
0
4
4
0
0
8
8
2
2
2
2
1
0
0
8
16
8
0
16
1
8
0
0
24
0
0
0
0
0
0
16
0
10
8
16
0
0
8
0
10
8
8
8
8
0
0
3
3
0
0
4
4
1
8
8
4
4
4
4
0
0
0
0
0
0
0
8
8
16
8
8
8
16
24
48
8
0
0
8
16
16
8
8
0
0
0
0
16
8
16
2
0
0
0
0
0
2
17
4
4
2
0
16
16
8
0
16
16
16
16
16
0
16
16
8
16
16
16
8
0
0
8
8
4
1
1
4
16
0
16
16
0
8
0
0
0
0
0
0
16
0
20
1
16
1
1
1
0
0
1
0
24
16
16
16
17
8
8
0
0
0
0
16
8
16
8
0
16
16
16
8
8
8
59
0
0
0
0
0
8
8
8
2
0
2
2
2
2
2
2
2
16
16
6
1
6
8
8
0
0
0
4
25
16
16
8
8
0
0
0
0
0
0
0
0
0
0
8
8
0
16
0
0
8
8
8
0
2
0
16
16
16
16
0
16
16
16
20
8
8
3
32
32
32
16
4
4
0
4
8
8
8
0
0
0
1
1
1
0
0
0
32
32
32
0
4
4
16
0
0
0
1
0
16
0
8
8
16
16
16
16
0
0
4
4
0
0
0
0
6
2
17
24
0
0
56
56
56
0
4
12
33
8
1
10
8
0
0
2
0
4
4
4
8
8
0
0
0
2
34
0
0
0
24
8
8
0
8
8
8
8
8
0
16
0
24
24
24
4
4
0
16
0
0
8
4
4
4
4
0
32
0
0
8
8
8
8
0
24
0
2
2
3
2
2
4
16
2
2
0
0
4
4
24
2
2
1
1
10
2
2
16
24
8
0
16
16
16
0
16
16
1
1
1
0
8
0
16
16
16
16
2
3
3
3
3
3
3
3
3
8
4
4
4
0
8
8
8
8
8
16
1
12
12
0
0
0
8
0
0
0
0
0
0
0
0
0
0
8
8
8
8
16
1
1
1
8
8
8
8
8
0
8
4
25
25
25
17
0
0
8
8
16
16
16
8
0
0
0
0
0
16
16
16
16
16
16
0
0
0
0
16
0
0
2
28
8
4
24
24
0
9
44
44
16
0
0
0
0
8
24
24
0
0
0
8
8
8
8
2
2
16
0
24
24
8
8
1
1
8
8
1
1
0
8
0
8
4
4
1
1
0
0
0
0
9
4
4
4
24
24
24
0
8
8
8
12
12
0
2
4
16
4
0
20
20
1
1
1
0
0
0
0
16
16
16
16
16
0
0
8
2
16
16
8
8
8
8
8
0
0
0
0
53
53
8
8
8
8
1
2
2
0
0
0
16
0
0
0
0
0
0
8
16
0
0
9
1
0
8
0
0
0
8
0
2
2
2
2
0
0
0
0
0
0
0
0
16
16
16
8
0
20
0
1
1
8
16
9
0
0
0
0
0
0
0
4
0
8
8
8
8
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
16
16
16
16
16
16
16
17
8
8
0
8
18
18
8
20
34
34
34
0
24
4
4
0
0
0
0
0
0
0
0
0
2
4
0
0
0
0
0
0
8
8
8
0
0
0
4
0
0
16
32
32
9
1
1
0
0
8
16
24
24
16
8
4
0
4
16
0
0
8
0
0
0
0
16
16
16
0
0
0
1
2
2
2
0
0
16
16
16
24
16
0
16
16
24
4
8
8
16
0
8
2
8
8
8
8
0
0
0
0
17
17
8
8
8
8
8
8
8
0
1
4
1
0
0
8
24
1
0
0
0
16
16
16
16
8
0
1
2
16
16
16
16
0
8
8
2
0
16
16
2
1
8
10
16
0
0
16
16
0
16
8
16
0
0
4
1
8
2
0
0
0
8
0
8
8
8
24
0
0
2
1
0
16
4
0
8
8
8
8
8
0
16
16
0
0
0
1
4
0
0
0
16
16
16
16
2
0
1
8
14
6
8
8
16
16
0
0
16
16
16
16
16
2
2
16
16
16
8
10
24
0
0
25
0
16
16
0
0
0
0
0
0
0
16
16
16
16
16
9
9
8
8
8
1
0
0
0
0
0
0
0
0
4
8
0
1
1
1
1
20
0
8
0
0
16
16
0
0
0
0
0
0
16
4
0
0
0
9
0
0
4
4
0
0
0
0
8
24
4
24
24
0
16
8
8
16
0
1
8
8
8
8
24
24
0
0
0
0
8
0
0
0
0
0
16
3
16
16
16
8
2
2
8
8
0
0
0
0
0
0
0
2
8
8
8
8
8
8
0
0
8
8
8
8
16
5
0
8
0
0
0
0
0
0
0
8
1
1
8
1
1
8
0
16
8
1
8
0
0
0
12
8
4
4
4
4
16
16
0
0
0
0
6
0
0
0
0
0
0
56
24
0
8
8
0
26
8
8
8
8
0
8
8
2
18
16
8
8
0
0
20
0
0
0
0
8
8
0
0
0
0
0
8
14
9
8
8
2
4
4
0
0
0
0
0
8
0
0
0
0
0
8
8
0
8
0
6
2
0
0
1
0
0
0
0
0
1
2
8
8
8
1
1
1
1
1
16
8
8
8
2
0
0
8
8
8
16
16
16
8
32
0
0
0
0
0
0
8
4
4
1
1
1
8
0
4
8
0
8
0
0
8
0
8
8
8
20
20
0
0
0
4
0
0
12
12
0
20
8
8
0
0
0
1
1
10
10
8
0
20
20
20
8
42
42
12
0
0
0
8
8
8
18
18
0
4
4
0
0
0
0
6
4
0
0
0
3
3
0
8
8
5
5
8
39
16
8
8
8
16
16
16
16
2
2
0
0
0
0
16
16
32
8
8
8
1
1
1
4
4
0
0
0
0
0
8
1
1
16
4
4
4
4
0
0
8
9
9
4
0
0
0
0
0
0
0
0
1
1
16
1
0
17
4
0
0
2
16
16
0
4
12
3
16
16
16
16
16
3
8
48
48
48
0
0
2
0
5
5
2
16
28
28
32
32
16
0
19
24
24
4
0
8
1
0
0
0
0
8
32
32
8
8
8
8
8
8
8
8
0
0
1
1
0
16
16
0
0
2
2
2
0
0
0
0
0
9
0
0
0
0
0
0
0
0
0
0
0
16
16
8
8
8
8
8
8
8
0
0
0
8
0
0
0
0
8
16
8
2
0
0
0
1
0
0
0
4
0
8
8
6
6
6
0
8
8
0
16
16
1
1
0
0
20
0
16
0
8
8
2
0
0
0
0
0
0
8
8
16
8
0
8
8
0
0
16
16
0
24
0
0
0
0
0
0
0
1
0
0
16
0
0
0
0
0
0
0
0
0
8
0
16
16
8
32
0
0
12
12
12
16
16
12
8
0
8
16
16
16
16
16
0
0
62
16
16
4
4
4
16
16
0
0
0
24
32
16
16
1
0
0
10
32
8
0
0
8
8
0
0
8
0
2
8
0
2
0
16
16
8
8
2
1
16
16
16
8
8
8
0
0
0
1
8
8
8
8
4
4
10
10
8
8
8
2
2
2
2
2
60
0
16
8
8
0
1
0
0
0
0
8
0
8
0
0
13
8
8
8
8
0
0
0
0
0
0
8
4
4
8
0
0
16
16
13
1
16
16
16
0
8
0
0
0
0
8
4
4
4
0
32
1
0
0
26
26
4
4
4
8
1
0
0
0
0
16
0
0
0
2
2
2
2
0
8
0
0
8
8
8
9
0
4
4
2
2
2
16
8
8
36
8
8
8
8
8
8
8
17
17
17
17
41
8
1
1
1
1
1
16
2
2
4
4
32
2
0
0
0
0
0
4
8
22
4
4
4
4
32
32
0
0
0
6
4
24
24
24
24
0
8
20
20
8
28
0
0
0
0
0
0
5
5
7
7
8
0
16
16
16
0
8
8
8
0
0
0
16
16
16
16
16
16
16
16
16
16
16
8
8
8
8
8
0
0
8
4
4
4
4
4
8
8
4
0
0
8
8
8
16
1
1
8
0
0
0
0
0
0
0
8
8
24
1
1
1
1
1
1
16
24
16
0
0
8
0
0
0
40
0
32
32
32
16
0
0
0
17
17
17
17
17
0
0
0
4
4
8
0
0
0
0
0
0
4
8
0
0
0
0
0
0
0
16
16
16
16
8
0
0
0
0
1
0
0
8
8
16
0
0
0
8
4
8
0
0
0
0
2
2
2
2
8
16
0
0
0
1
0
0
2
16
4
4
4
16
8
0
0
8
8
16
16
0
0
1
1
0
0
0
24
0
0
0
0
0
8
0
1
1
1
1
0
0
16
16
16
16
16
16
16
16
8
18
16
16
9
9
0
16
2
16
16
0
12
8
16
16
16
16
16
0
0
0
4
32
2
16
0
0
16
16
16
0
0
0
1
1
24
24
24
24
24
8
8
0
0
0
0
0
16
8
8
8
2
0
0
0
0
1
4
4
4
2
0
16
16
16
0
0
32
32
32
32
0
24
16
16
0
8
8
0
0
1
1
17
0
4
4
8
0
16
0
0
8
0
4
7
7
0
2
0
0
0
0
0
0
20
20
1
2
8
8
16
0
40
4
0
35
0
0
0
8
1
2
2
2
2
32
0
8
8
8
10
27
0
0
0
0
0
0
0
0
0
0
16
8
0
0
0
18
18
8
8
0
0
8
8
8
8
8
0
0
0
0
16
28
0
16
16
16
16
16
16
16
16
16
16
0
8
8
8
8
0
0
32
28
28
28
28
28
16
8
2
2
2
2
0
0
0
0
2
2
16
8
4
4
4
16
0
4
4
4
4
4
4
0
16
8
0
4
0
0
0
0
0
0
16
16
16
0
0
0
0
0
0
26
26
16
16
16
16
8
0
0
5
0
0
8
20
20
32
16
4
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
4
0
8
0
8
1
1
1
10
8
8
8
8
0
0
1
0
0
0
8
8
8
8
8
0
24
24
24
24
16
16
16
0
2
2
2
16
20
0
0
20
4
16
4
4
4
2
2
2
2
4
4
4
4
8
8
8
8
25
16
16
16
16
16
16
2
0
0
0
5
5
0
8
8
8
8
8
0
2
36
36
0
0
0
8
0
24
4
4
8
24
0
0
0
2
2
2
8
8
21
0
0
0
0
29
0
1
16
16
4
24
4
4
0
0
8
0
0
0
0
16
16
0
8
32
28
28
16
19
8
16
16
16
0
8
8
8
8
32
0
16
0
0
0
0
0
0
2
0
0
8
0
16
34
0
0
0
0
12
32
32
32
32
8
4
4
16
20
17
8
8
8
8
8
8
16
5
8
8
8
0
0
0
0
24
8
1
16
0
0
0
16
16
4
12
0
25
9
8
0
0
32
4
0
1
1
2
8
8
8
0
0
0
1
1
0
8
24
16
8
16
16
0
0
0
8
0
0
8
0
4
20
2
18
2
16
0
0
0
4
4
20
20
20
20
20
4
4
0
8
8
17
17
0
0
0
0
0
32
32
0
16
16
16
8
0
8
8
8
16
0
4
16
0
0
0
0
0
1
0
0
4
8
8
8
16
8
8
32
8
16
16
8
8
8
8
8
4
16
16
4
0
8
4
12
12
8
40
24
0
0
0
0
16
16
16
16
2
2
2
0
0
4
4
4
0
8
24
1
0
0
0
0
8
2
8
8
8
1
0
0
0
0
0
1
1
16
0
0
0
0
4
4
16
0
0
8
2
2
0
0
0
24
24
4
0
4
22
18
0
8
8
8
16
16
8
8
4
16
16
0
8
8
61
57
57
1
0
0
0
0
0
16
16
28
28
0
8
0
1
1
0
0
1
4
16
16
16
0
0
0
24
0
0
0
34
16
0
16
16
16
0
0
16
20
20
4
1
0
0
0
4
8
8
8
16
0
16
8
8
0
0
0
1
8
8
8
0
28
8
18
18
18
18
18
8
8
8
8
4
4
4
4
4
4
4
2
2
2
1
1
1
16
8
9
9
8
8
8
8
20
20
16
0
1
1
4
0
0
0
0
17
17
8
2
0
0
0
0
16
16
16
8
8
8
16
16
4
4
8
8
0
0
0
0
16
0
0
8
8
1
0
0
0
28
16
16
0
0
0
0
0
2
10
0
16
0
8
8
0
16
24
18
16
4
8
8
0
0
0
0
8
8
8
16
16
16
8
0
8
8
8
8
8
8
8
8
0
16
16
16
32
0
8
8
8
24
24
24
24
0
0
8
16
16
8
0
0
0
8
0
8
8
0
8
8
8
4
8
8
16
24
0
8
8
8
16
16
17
16
16
1
1
8
8
0
0
0
16
16
16
0
0
17
0
0
0
0
0
0
0
4
0
24
24
16
0
0
0
8
8
8
2
2
8
8
4
8
8
8
8
0
2
2
8
2
24
4
4
8
8
8
7
7
7
7
0
16
16
9
8
1
8
8
8
8
16
1
0
8
8
8
16
16
16
16
24
33
6
16
16
16
0
4
4
0
17
18
0
8
16
0
0
4
4
4
2
0
0
17
16
8
8
8
8
8
0
0
0
0
0
8
8
0
16
16
2
2
32
32
8
8
8
0
8
8
8
16
20
20
0
0
0
8
0
0
0
16
16
8
1
1
8
0
0
0
0
0
0
24
0
0
2
2
8
8
4
4
8
0
0
16
16
0
16
16
8
8
16
0
0
0
48
8
8
0
0
0
0
0
0
0
24
8
8
1
1
8
0
16
0
2
0
0
0
1
1
0
8
8
0
0
0
16
16
8
8
16
16
16
8
0
4
0
8
8
8
8
8
16
0
0
0
16
16
16
16
16
16
0
8
0
0
10
8
16
8
1
0
0
0
1
1
9
8
8
8
4
4
4
4
17
17
8
8
0
0
0
4
24
24
24
0
0
0
0
0
0
0
0
24
16
16
16
0
2
2
2
2
0
16
0
0
0
8
0
0
0
16
16
2
4
4
4
4
8
8
0
0
0
16
16
8
8
0
16
8
4
4
4
4
16
4
4
16
16
0
0
0
0
8
8
4
9
9
9
9
0
0
0
0
0
0
0
0
0
0
16
0
8
26
26
26
2
2
0
0
2
8
8
8
8
0
8
12
4
4
4
4
4
4
8
18
0
8
8
20
20
20
20
4
16
16
0
0
0
8
0
0
8
16
8
0
0
0
0
0
18
8
8
8
8
8
0
1
0
0
0
0
16
8
16
16
8
8
0
0
0
0
8
0
16
16
16
16
16
16
16
16
16
0
0
0
1
1
8
4
4
4
8
2
8
16
8
0
0
16
16
16
16
16
16
16
16
16
0
16
0
0
0
4
8
8
0
8
0
8
4
16
32
1
1
1
1
1
1
8
8
8
8
0
0
20
0
16
16
20
17
16
16
16
0
0
0
2
8
16
16
16
16
16
16
8
8
8
0
0
8
8
6
2
8
0
0
0
0
32
0
0
0
0
8
0
22
8
0
16
16
16
1
1
0
0
16
0
16
16
8
0
0
0
0
34
0
0
16
39
16
16
8
8
16
16
16
8
16
16
0
16
0
0
4
0
8
8
8
1
0
0
4
16
16
16
16
16
16
17
32
8
8
2
18
48
8
0
0
0
0
0
4
16
16
39
0
0
8
8
1
1
0
16
16
2
8
1
16
4
57
0
0
0
6
16
8
16
0
40
16
16
16
0
8
4
4
4
8
8
8
16
16
32
0
0
40
24
8
8
8
9
16
16
0
4
4
4
16
8
4
2
4
18
18
2
2
0
0
33
0
0
16
0
0
0
8
12
12
4
16
4
4
4
4
0
0
16
8
8
8
16
8
8
8
8
32
8
16
16
24
18
8
1
8
0
0
0
0
8
0
28
16
16
16
16
16
16
0
0
1
1
16
16
0
0
8
8
8
0
0
16
16
16
16
8
16
8
16
1
1
0
0
0
0
0
16
28
16
16
0
0
8
0
0
0
0
8
0
8
8
8
8
8
8
8
8
8
8
8
16
16
16
16
0
4
4
4
4
8
1
8
8
0
8
16
16
16
0
9
0
0
16
0
0
0
16
16
16
16
16
16
8
16
16
0
8
0
8
8
8
8
0
0
0
8
8
0
0
4
4
4
4
4
0
2
2
12
0
0
16
0
0
2
8
16
20
0
2
0
0
2
2
48
48
48
48
0
8
0
8
0
0
4
4
0
0
2
4
4
0
0
26
26
0
0
8
0
0
0
16
16
0
1
1
0
8
16
16
16
0
16
16
16
16
16
0
0
16
6
6
6
6
6
4
16
16
24
8
0
32
8
8
0
0
12
4
4
0
0
0
0
0
32
32
32
8
8
0
8
8
8
16
16
16
16
16
16
18
16
16
16
2
2
2
4
0
0
8
8
4
4
8
8
1
1
1
1
1
1
1
1
1
4
8
0
21
0
0
8
8
8
4
4
4
8
8
0
0
8
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
16
16
16
32
8
8
8
4
4
0
4
20
0
0
1
0
0
0
8
16
2
8
16
8
8
8
17
17
10
16
15
6
16
0
8
0
0
0
8
4
0
0
0
2
2
16
8
0
0
0
0
8
0
8
8
8
0
1
1
1
0
8
8
0
0
0
16
0
0
16
16
16
12
8
0
0
0
8
0
2
8
4
2
17
0
0
24
0
0
0
8
0
0
26
8
2
28
2
2
0
0
0
0
8
8
8
8
16
16
16
6
6
24
16
0
0
0
26
26
26
0
8
8
8
4
4
1
8
0
0
0
8
38
38
8
8
0
16
16
20
8
8
8
8
16
8
8
8
53
53
53
0
0
0
16
9
16
0
0
0
8
4
16
16
24
24
16
16
8
8
8
0
16
0
8
8
0
0
0
0
0
0
16
16
16
0
1
0
48
16
32
32
0
0
8
0
8
16
16
16
16
16
0
0
8
8
8
8
8
0
0
0
0
0
8
8
20
48
0
8
8
8
0
0
0
8
8
8
8
8
0
0
0
0
0
0
0
0
2
2
16
16
16
8
0
0
32
32
16
8
8
0
0
2
8
8
0
0
8
8
8
8
0
0
0
0
0
0
0
0
16
16
16
0
0
0
4
0
0
0
0
8
8
0
0
0
0
0
8
0
1
16
40
16
16
16
0
4
8
0
0
0
0
16
12
8
16
16
8
8
0
16
0
6
16
4
4
24
4
8
8
0
0
0
8
8
8
8
4
0
24
8
8
0
8
8
4
0
8
0
0
16
8
8
0
4
0
16
16
16
0
0
16
8
8
8
8
4
4
8
8
0
0
0
0
0
0
0
0
0
16
4
8
8
1
8
0
0
4
24
24
24
8
0
16
16
16
4
4
4
0
0
0
2
0
0
35
35
1
1
8
8
0
0
0
0
16
0
0
16
16
16
16
4
4
4
0
16
0
16
8
8
8
0
8
16
16
16
0
0
0
16
16
16
16
25
0
0
0
0
0
0
9
8
16
16
0
4
4
8
32
32
32
0
16
16
0
28
16
16
16
0
0
0
32
32
32
0
1
2
0
8
0
0
0
0
0
4
16
16
8
4
16
0
8
8
16
16
16
16
16
16
1
0
0
57
0
12
0
0
8
0
0
1
16
16
24
24
24
2
2
8
8
24
8
8
4
32
39
16
2
0
0
41
1
0
8
8
8
32
0
24
24
0
8
0
0
0
0
16
0
0
0
0
16
16
16
16
0
8
8
32
32
22
16
16
2
0
0
8
16
16
16
16
16
16
48
8
8
0
0
0
0
0
8
0
0
0
8
8
0
0
16
16
16
16
0
0
16
16
16
1
1
1
4
4
8
16
0
8
8
0
8
8
0
8
8
16
16
16
8
0
32
8
8
44
44
22
0
0
8
8
0
0
8
8
0
0
4
3
8
8
8
8
8
8
0
16
16
16
58
58
58
8
8
16
0
0
1
8
8
8
8
8
8
0
6
0
8
8
0
17
16
0
0
0
0
0
0
16
16
12
12
1
4
8
0
0
17
17
4
4
16
16
16
16
0
0
0
24
24
24
0
8
0
17
17
17
17
17
17
2
0
0
37
37
8
8
16
0
0
0
0
0
0
8
8
8
8
0
0
8
0
1
1
1
1
1
0
0
0
4
1
1
8
6
0
0
0
0
10
8
0
0
0
0
0
0
2
2
2
2
2
2
0
8
8
0
0
8
12
4
0
0
0
8
0
0
16
8
12
12
12
16
16
16
16
0
0
4
20
4
0
13
29
0
0
0
0
16
0
0
0
0
27
27
27
27
0
16
16
8
0
8
16
16
0
0
0
0
0
4
32
8
16
2
2
16
0
4
4
4
4
4
2
2
8
6
0
8
16
20
8
8
20
0
4
0
0
8
1
0
0
0
16
8
0
0
0
0
0
0
0
32
2
16
1
1
0
1
8
8
20
20
0
0
0
0
0
25
1
16
8
4
0
0
0
20
4
16
0
8
0
0
2
2
8
0
16
16
16
0
8
8
0
16
0
24
24
16
8
0
0
4
8
8
5
0
0
1
6
0
10
16
17
17
20
0
24
24
24
16
0
0
20
16
32
0
0
8
8
8
8
0
0
49
0
0
1
1
1
1
1
0
0
0
0
4
4
4
4
0
32
4
4
59
16
16
16
16
8
8
8
8
0
0
0
0
0
0
10
0
1
0
0
0
8
16
16
4
0
8
8
2
2
2
2
0
0
0
8
0
4
8
1
0
0
36
0
52
52
0
16
16
8
8
8
8
4
0
0
10
0
0
24
1
17
17
17
17
0
0
0
0
0
0
0
2
2
8
8
20
8
0
16
16
16
16
16
8
0
2
0
4
8
8
8
8
24
8
1
0
53
8
0
0
0
0
16
16
16
8
8
0
8
8
8
8
8
0
8
8
0
5
8
8
8
0
0
17
16
32
0
8
0
24
16
8
4
4
4
4
24
24
0
18
0
0
0
0
0
0
0
0
12
0
8
1
3
24
8
8
2
8
8
8
0
0
0
0
0
16
0
8
8
16
0
8
16
8
8
8
4
4
8
8
8
0
0
0
0
0
8
8
0
0
0
2
0
16
0
16
16
1
1
1
1
1
1
0
0
0
0
0
1
8
0
0
8
16
16
16
2
2
8
0
19
8
16
8
8
0
0
0
4
4
1
1
8
0
16
0
0
16
4
4
0
0
4
4
0
8
0
16
16
16
0
0
0
16
0
40
0
0
8
0
0
0
4
4
20
0
8
8
8
8
0
0
17
0
28
28
1
0
4
4
4
16
1
0
8
8
16
16
16
16
0
16
16
8
8
1
16
0
24
2
8
8
8
8
8
8
8
8
2
0
0
32
32
8
4
4
8
8
0
16
16
0
8
8
8
8
8
8
0
0
0
0
0
0
4
0
0
8
0
0
0
0
12
0
0
0
16
24
0
0
1
1
2
2
2
2
2
26
0
8
17
8
8
4
4
4
4
4
0
0
0
0
0
0
0
4
1
1
16
8
8
8
8
0
0
0
0
56
0
2
4
8
8
16
16
16
16
16
16
16
0
0
5
32
0
0
0
0
0
0
8
8
8
8
8
0
0
8
0
0
8
4
0
8
8
8
16
8
1
8
0
8
0
16
8
6
2
2
0
1
1
8
0
0
0
0
0
0
16
0
0
0
0
0
0
8
8
8
8
8
0
8
4
0
16
16
1
1
1
1
8
1
0
2
2
8
8
1
8
0
0
10
0
0
0
2
0
16
16
8
0
8
8
0
32
8
8
8
8
0
0
0
0
0
8
8
8
8
2
4
4
4
8
0
20
20
0
8
0
0
16
0
3
4
0
16
16
0
16
16
16
16
32
32
32
16
16
16
16
16
8
0
4
0
0
16
21
16
0
0
2
2
2
4
0
8
8
8
8
8
8
0
8
4
1
24
16
16
48
48
16
16
8
8
8
24
16
16
16
8
8
8
8
8
4
4
4
0
6
6
16
16
8
0
0
0
16
16
8
0
14
14
16
16
4
4
8
16
16
4
0
0
0
0
12
0
0
0
1
1
4
4
4
8
8
8
0
0
41
41
8
8
32
40
8
0
0
0
8
0
0
0
0
0
0
0
0
8
8
8
40
8
8
0
16
16
16
16
16
0
8
0
4
0
4
8
16
8
0
0
26
26
26
8
8
0
16
4
40
32
0
16
16
16
8
0
18
18
0
8
0
8
0
16
0
0
2
8
0
0
16
0
0
0
1
0
8
32
16
32
32
8
4
0
0
0
0
0
0
16
0
16
8
8
8
0
0
0
0
10
8
8
0
1
1
1
0
8
8
8
8
8
0
1
4
4
0
16
8
16
0
1
16
8
8
8
25
25
0
4
4
4
32
16
16
4
4
0
0
11
40
40
8
8
8
2
0
0
0
16
20
0
0
12
1
1
1
2
2
1
0
0
0
1
6
14
2
0
0
4
0
32
16
16
0
1
16
16
16
4
4
8
8
25
1
1
20
0
0
0
16
16
16
6
6
16
16
12
0
16
2
2
2
0
16
16
16
12
16
16
16
8
0
4
4
4
8
24
0
0
16
16
0
8
8
0
1
0
0
28
28
28
28
28
28
0
16
0
0
0
0
0
0
16
16
2
0
0
2
0
2
1
1
1
0
2
2
2
4
4
0
0
0
8
8
8
20
16
8
2
16
16
16
16
0
57
1
0
0
9
0
0
0
16
1
1
8
8
0
16
16
0
11
10
0
0
24
24
0
0
16
0
0
16
0
4
8
8
8
16
16
16
24
24
24
0
0
16
0
0
0
16
0
0
32
8
24
0
2
2
2
17
1
16
16
16
0
0
0
4
4
0
0
0
2
2
8
8
1
8
0
0
0
8
0
2
0
2
0
1
0
0
0
8
8
0
0
0
0
0
0
6
0
0
49
49
49
16
16
0
8
8
8
8
1
0
8
0
24
2
0
0
0
8
8
8
2
2
2
2
8
0
0
0
4
4
20
4
8
1
1
0
1
1
1
1
0
0
0
12
8
12
8
8
8
8
16
8
2
2
2
2
16
16
16
16
16
12
1
1
1
0
0
8
16
24
24
16
8
8
8
8
8
8
8
0
8
8
8
8
8
6
0
0
0
0
1
4
4
0
0
16
16
0
0
0
8
1
0
0
32
32
0
17
0
0
0
0
0
0
0
8
16
0
16
16
16
2
0
8
8
0
0
8
2
2
16
16
0
0
40
2
4
4
8
8
16
16
8
17
0
16
16
0
4
4
16
16
16
16
0
0
0
8
8
8
0
0
8
1
8
8
0
0
0
0
0
0
0
0
0
0
8
24
24
8
24
0
0
0
0
0
0
4
4
0
4
4
16
16
0
8
1
4
4
0
0
0
0
0
8
26
0
0
4
0
2
4
4
4
8
16
0
0
4
4
1
0
0
8
0
0
16
1
0
0
0
8
0
12
8
0
0
2
2
1
1
1
8
8
4
4
2
2
2
9
0
8
1
20
4
16
16
0
8
4
2
0
8
8
8
2
2
16
16
0
0
8
2
2
24
24
16
16
2
0
0
2
2
2
0
0
8
16
0
0
2
2
8
8
8
0
0
0
0
8
20
20
8
8
8
8
8
0
0
0
16
16
0
8
8
16
16
16
1
0
0
0
0
8
8
8
8
4
0
21
8
8
8
8
8
17
17
8
16
16
0
8
8
0
0
16
16
16
1
28
12
12
12
0
1
1
16
32
32
34
8
6
16
16
0
0
0
4
8
0
0
8
8
0
8
0
0
16
16
32
0
0
8
0
8
8
8
0
2
2
0
0
16
16
8
8
0
0
16
8
0
0
48
16
16
16
16
16
8
8
1
1
1
0
0
0
0
8
8
8
8
0
0
16
1
1
0
0
1
1
1
8
18
1
0
0
2
5
8
8
8
8
16
0
16
4
8
2
2
0
0
32
32
32
32
8
2
2
16
8
8
8
16
0
5
5
4
5
0
0
17
21
20
4
4
8
16
16
16
2
2
16
16
8
0
2
2
4
4
4
4
4
4
0
8
8
16
16
8
0
0
8
0
0
1
1
1
16
16
16
16
0
16
16
16
8
0
0
8
8
8
8
0
8
0
0
8
17
16
16
16
16
16
0
0
0
0
4
8
0
20
20
20
20
16
16
8
8
8
0
16
16
16
16
8
0
0
8
8
1
1
8
16
16
8
0
0
16
16
0
1
8
4
0
8
8
8
8
8
0
0
0
0
8
0
0
8
8
16
16
16
8
20
20
20
20
20
20
20
20
20
20
20
20
4
8
8
52
52
52
52
52
1
16
16
0
0
0
0
0
0
16
16
16
16
16
0
0
4
0
0
0
16
16
0
0
24
0
16
16
16
16
16
16
8
8
8
8
8
8
8
16
16
16
8
40
0
0
0
2
16
8
0
16
16
8
0
8
0
0
16
16
24
24
16
0
26
2
2
1
0
16
1
16
16
16
8
8
0
4
0
4
0
0
17
0
0
8
2
2
2
2
0
4
4
4
8
4
8
8
0
4
4
0
1
0
8
8
0
0
0
1
16
16
16
0
0
0
0
0
0
8
2
0
0
11
0
8
8
8
0
0
16
26
26
0
2
2
2
8
0
24
0
0
0
0
0
0
16
1
1
1
16
8
8
8
8
0
0
16
16
17
1
1
0
0
16
0
0
0
16
16
16
8
8
8
4
20
24
8
8
9
8
4
0
16
4
8
8
8
0
0
0
0
0
8
8
8
2
0
0
8
2
16
0
4
0
8
8
12
8
8
8
8
4
0
0
4
4
0
8
8
0
0
0
0
0
0
8
8
8
8
8
16
0
26
0
32
0
16
16
4
2
8
32
32
4
8
8
8
0
0
0
56
16
0
0
0
2
2
0
0
0
8
8
8
0
0
0
4
1
16
16
0
24
0
0
16
8
0
16
0
0
1
1
0
24
16
0
0
8
8
8
16
16
8
8
0
2
8
8
8
0
16
16
16
16
16
0
0
0
1
32
13
8
0
2
0
0
0
0
0
0
0
0
0
4
16
16
4
0
0
20
8
8
8
0
5
0
0
0
0
0
8
0
8
8
8
2
2
2
0
0
32
0
1
1
8
8
8
8
8
2
2
4
16
0
0
0
0
16
16
16
0
0
0
0
12
12
12
1
12
16
16
16
1
2
2
0
0
0
8
8
16
16
2
2
2
2
2
0
1
24
12
16
16
16
0
0
0
0
0
10
8
0
0
0
32
32
4
4
4
0
0
0
0
0
0
16
0
0
8
8
8
16
0
0
8
8
6
0
0
0
0
0
0
0
0
0
0
0
4
8
0
0
1
0
32
20
1
1
1
2
2
2
0
0
29
29
29
0
16
16
4
4
4
4
4
16
16
0
0
0
0
16
16
16
0
0
8
8
16
0
0
0
8
0
2
2
0
0
0
0
16
16
0
16
12
40
0
0
0
1
1
0
0
0
8
8
8
4
16
2
17
17
20
20
0
0
0
16
8
24
8
0
24
8
8
1
57
1
32
22
0
1
9
9
1
1
1
0
0
16
16
16
4
4
4
8
8
0
0
0
0
16
8
1
1
0
1
0
16
1
0
8
8
8
4
4
4
4
2
2
2
0
0
0
0
0
16
0
4
4
0
4
4
4
0
0
0
0
0
0
0
0
32
8
0
4
4
4
0
2
8
4
8
0
16
16
16
16
4
0
0
16
16
0
0
20
0
0
8
0
0
8
13
13
13
8
4
4
4
4
24
1
1
0
0
0
0
0
0
8
8
8
9
24
8
16
0
8
8
0
8
8
8
8
8
0
0
1
1
1
0
0
16
16
16
0
0
0
16
0
0
12
12
16
0
0
0
1
1
1
2
2
0
0
8
16
0
16
16
16
16
16
8
8
24
24
8
38
38
38
0
0
0
8
8
4
0
8
0
0
8
8
8
2
2
16
16
8
0
16
4
0
4
8
8
0
24
2
2
0
0
0
0
0
4
54
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
16
16
16
16
16
16
16
16
16
8
0
16
0
2
0
8
8
8
0
16
0
0
0
0
0
0
0
16
8
8
0
0
0
0
2
2
8
0
0
0
8
9
0
0
16
0
0
1
8
0
0
1
1
2
8
16
24
24
24
24
8
0
0
0
1
1
1
1
3
8
8
8
16
16
16
16
0
8
0
0
32
8
8
0
0
24
24
24
24
16
20
17
8
25
0
2
17
16
24
16
2
0
16
16
16
16
16
16
1
0
0
0
0
2
2
16
8
8
0
27
0
24
8
0
0
0
0
13
13
0
0
0
0
1
1
0
0
16
16
2
8
0
0
24
8
8
8
8
8
10
10
10
10
0
2
8
0
8
0
0
0
8
4
0
0
0
0
4
32
0
0
8
0
1
0
4
0
0
0
0
0
4
0
0
0
0
4
16
23
48
48
0
0
5
16
0
0
17
8
8
8
24
8
16
16
0
32
32
32
40
1
1
9
8
0
0
4
8
0
0
0
8
16
16
16
16
0
16
0
0
16
16
16
16
16
16
0
25
16
16
16
0
0
8
8
8
8
8
0
8
1
1
0
0
0
0
16
0
0
4
8
0
0
0
0
0
0
0
16
24
16
8
0
4
4
0
0
0
2
16
0
2
0
0
0
0
0
0
12
12
12
10
8
8
8
0
0
0
0
1
1
0
16
8
0
0
8
24
0
0
16
16
16
16
16
0
0
0
6
16
0
0
0
16
0
0
0
2
16
0
0
8
0
0
0
1
1
1
1
8
8
18
18
20
20
20
20
20
20
32
1
4
4
4
4
4
4
4
0
16
32
32
32
32
0
0
4
16
16
8
12
12
1
2
2
2
32
16
16
16
16
16
17
8
16
8
8
8
8
24
24
24
8
4
4
0
0
0
0
8
10
16
16
16
1
1
1
1
0
0
0
0
22
22
16
16
0
16
16
16
16
16
0
0
0
0
4
4
0
16
16
0
0
16
16
16
28
4
8
8
8
8
8
40
8
8
57
16
8
8
8
1
1
8
0
8
8
8
0
0
8
8
41
41
41
8
8
8
16
12
12
12
17
17
0
0
0
32
32
32
32
4
0
4
4
2
0
36
36
39
8
0
0
52
52
16
4
0
50
32
0
0
0
0
8
8
8
0
0
16
16
16
16
16
0
0
0
17
17
8
8
8
8
8
8
0
0
0
0
8
8
8
8
32
32
0
8
20
8
8
8
8
8
8
8
8
56
0
4
4
4
4
8
4
16
16
16
16
0
8
1
1
1
4
4
4
8
0
0
0
16
4
0
2
8
8
0
0
16
16
16
16
5
16
0
16
16
24
8
8
2
8
8
0
0
24
0
0
0
4
4
4
4
1
1
1
1
1
8
17
17
16
16
16
0
0
8
8
8
8
8
8
8
8
16
0
0
9
9
9
4
4
4
0
16
16
0
0
2
0
0
24
0
25
1
16
24
0
0
0
16
0
2
2
8
0
0
0
16
16
16
2
2
8
8
8
8
0
12
16
17
40
32
16
0
0
16
2
0
0
0
8
0
0
8
48
1
1
41
0
0
32
16
4
4
12
8
0
16
16
2
2
1
8
8
0
16
8
0
16
32
32
0
8
0
2
1
1
1
4
0
8
8
0
8
16
8
8
0
0
4
0
0
20
0
16
24
8
8
8
8
0
4
16
16
16
16
16
16
8
0
8
8
16
0
1
16
0
0
1
1
10
8
0
0
0
0
2
2
0
1
0
0
0
4
4
0
0
0
0
8
8
0
16
16
8
8
8
8
0
8
8
0
0
24
24
8
8
8
8
0
4
4
4
16
2
2
0
0
0
4
4
8
1
16
0
0
0
0
16
0
0
8
8
0
8
8
1
8
6
9
8
8
0
8
16
16
16
0
0
0
0
0
0
0
24
24
24
24
16
0
16
48
48
16
16
16
0
4
4
4
4
0
0
0
0
24
24
24
0
0
0
0
8
8
8
8
8
8
8
8
16
16
16
8
0
0
16
2
0
0
16
16
2
2
2
2
2
2
4
8
8
8
8
8
8
8
0
16
16
8
0
0
0
0
0
0
56
0
0
4
18
18
18
18
18
18
18
18
18
18
18
0
8
0
16
16
16
0
0
0
0
20
16
16
16
0
8
0
32
16
8
0
16
32
4
12
1
16
16
0
2
2
2
0
0
16
8
0
2
18
38
35
8
0
0
0
0
8
8
8
8
16
8
0
6
6
8
0
0
8
4
0
8
8
16
16
0
0
20
1
20
0
1
1
1
1
25
25
16
8
8
0
2
16
8
8
0
2
8
8
0
0
0
0
0
8
0
0
2
2
1
16
0
8
0
8
8
0
0
32
0
1
0
1
1
0
4
20
20
16
16
2
0
0
8
8
4
4
4
1
0
0
8
8
0
8
16
16
16
0
0
6
4
33
33
8
8
8
0
0
16
0
8
8
0
0
0
0
0
0
0
0
1
8
8
16
8
8
8
0
60
24
10
4
0
0
4
2
8
9
8
8
0
16
16
8
8
8
0
0
0
0
0
44
8
0
16
16
0
0
0
0
0
0
0
0
0
8
0
0
0
0
16
16
0
0
0
8
32
22
22
8
4
16
0
0
12
4
4
4
0
8
8
0
8
8
8
0
0
0
8
0
32
32
0
1
16
8
8
8
8
0
0
0
0
12
0
0
8
8
0
0
0
8
8
0
1
0
16
2
2
2
0
0
0
0
0
0
0
0
18
1
1
8
1
16
16
0
8
0
16
16
29
29
48
0
0
0
8
8
8
1
0
16
16
0
8
8
27
16
1
0
0
8
16
0
0
0
16
0
16
16
16
16
16
16
16
16
20
16
16
0
0
16
24
24
1
2
1
16
16
3
3
1
1
1
1
1
1
16
16
16
16
8
8
8
8
9
9
9
4
0
16
0
6
2
6
6
6
16
16
16
16
0
2
2
2
4
0
8
8
8
0
0
16
16
16
16
0
1
16
16
8
24
24
24
24
24
24
24
16
0
1
0
0
41
32
8
8
16
0
1
32
32
40
0
20
9
9
0
8
40
16
0
0
8
0
16
16
16
16
8
8
16
0
2
4
32
1
0
16
0
16
4
4
0
0
0
8
8
8
16
16
0
32
0
0
8
0
0
0
2
2
0
16
16
0
8
8
0
32
0
24
16
0
0
8
0
0
16
0
0
0
0
4
4
4
4
1
1
1
1
0
0
0
0
16
0
0
0
4
4
0
0
4
0
16
16
16
16
8
0
0
1
0
8
0
0
8
8
8
48
48
0
8
8
2
0
0
0
2
8
8
8
4
0
0
0
8
8
16
8
16
0
16
16
16
24
8
16
8
4
0
8
8
0
0
0
16
16
0
2
8
8
0
0
0
4
0
0
0
0
0
8
8
16
16
16
16
1
0
4
16
8
16
16
8
8
16
0
0
0
0
0
8
16
0
8
8
0
0
2
2
0
8
8
0
12
12
12
12
12
12
0
0
2
2
0
0
0
0
0
0
8
8
8
8
1
1
8
0
1
0
1
1
0
0
16
0
16
16
32
32
32
32
8
16
16
53
10
8
8
8
2
2
2
0
0
0
0
2
2
32
0
11
59
8
16
16
0
8
8
8
1
1
1
1
1
1
1
0
1
0
8
8
8
8
0
0
0
16
16
8
32
56
56
8
24
24
24
0
0
0
2
0
0
0
0
0
4
0
0
0
8
0
8
8
12
12
12
8
16
0
8
8
8
8
0
0
0
16
16
0
11
2
0
0
24
24
4
4
0
0
0
10
14
16
0
8
8
28
40
40
0
0
0
0
0
0
16
9
40
8
1
1
1
1
8
0
0
3
0
0
24
0
0
0
4
4
22
22
2
0
0
0
0
0
0
0
0
24
24
0
16
16
18
18
16
0
0
2
2
0
24
24
0
1
4
0
16
8
8
8
0
0
0
0
0
32
32
32
0
0
12
4
8
16
16
0
0
32
0
0
0
0
24
8
8
8
8
8
16
8
8
16
16
16
0
0
0
0
4
16
16
16
16
0
8
2
16
0
12
8
0
8
8
32
32
8
8
1
8
8
1
1
2
2
2
2
2
8
8
8
8
8
0
0
0
0
8
0
0
1
8
8
28
8
8
0
16
0
8
4
4
6
16
16
8
4
4
4
8
0
0
0
16
16
0
8
16
16
8
0
0
8
8
0
34
8
8
8
8
2
2
0
0
0
0
0
0
0
0
0
0
0
4
4
0
0
0
8
8
1
1
2
0
0
0
4
0
1
20
0
0
8
28
0
1
0
0
0
8
8
8
8
16
20
8
2
0
0
0
8
16
16
8
8
8
0
0
16
0
16
8
8
0
8
8
0
8
8
0
0
0
0
1
0
0
0
0
12
12
12
0
16
16
16
16
8
34
4
4
8
0
0
0
1
0
0
16
8
16
16
8
1
56
0
28
12
8
8
8
8
8
0
0
0
16
16
16
16
16
16
4
16
8
0
0
0
0
0
0
2
2
2
16
8
8
4
4
16
0
2
2
16
16
16
2
4
0
0
0
0
0
0
0
0
30
30
0
8
20
20
20
2
2
0
4
32
32
0
8
8
8
8
0
0
0
0
8
0
8
8
16
16
16
40
40
40
6
6
6
6
0
0
0
0
32
8
1
8
8
0
0
9
8
8
0
8
0
2
0
0
8
8
8
0
0
21
0
4
20
8
16
0
8
0
20
18
8
0
0
0
2
0
0
0
1
1
1
1
1
0
0
16
0
0
4
4
4
46
46
0
0
32
8
0
8
0
0
0
0
0
0
8
16
1
1
0
0
0
8
8
0
0
1
1
1
0
7
7
0
0
0
0
8
8
8
16
16
16
16
8
8
0
16
32
12
0
0
2
2
2
8
16
16
16
8
8
25
8
16
8
0
0
28
0
16
16
4
0
0
1
0
0
1
2
32
32
16
16
4
4
8
8
17
0
0
0
0
0
18
18
0
0
0
0
0
16
16
2
0
8
8
0
8
8
8
0
24
0
0
16
16
20
20
8
16
16
16
0
0
16
16
16
0
8
8
8
8
0
17
16
8
8
16
16
4
4
4
2
24
0
0
32
32
32
32
32
0
8
4
0
0
16
8
20
0
8
8
8
0
0
4
4
4
2
2
8
0
9
16
16
8
16
9
17
16
0
1
0
0
9
9
8
8
8
8
8
16
16
8
8
0
0
8
8
8
8
0
0
0
2
2
0
0
0
8
8
8
8
0
25
25
1
1
20
16
16
16
16
16
16
18
18
18
0
8
8
8
8
2
24
24
24
0
0
0
0
8
8
8
24
0
0
9
0
8
8
8
10
10
10
0
0
16
0
4
4
4
48
8
8
8
4
16
16
16
16
8
8
8
0
2
16
0
0
0
0
0
0
0
0
0
8
8
3
0
16
16
0
1
1
1
1
0
0
0
0
16
24
8
8
8
1
1
1
0
0
1
0
0
0
0
0
4
4
0
0
0
16
4
32
40
40
16
16
16
16
0
0
0
0
0
0
8
0
0
8
4
24
20
16
16
16
16
4
0
0
0
0
0
0
0
0
0
16
4
0
0
0
4
9
0
0
0
16
8
28
28
1
4
22
0
0
32
0
8
32
32
32
16
16
0
9
8
8
0
2
2
2
2
2
0
4
0
0
8
4
0
0
8
8
10
8
0
8
8
8
16
16
16
16
16
32
32
32
4
4
4
8
8
0
0
0
32
32
32
0
8
8
0
0
16
2
2
2
2
16
8
8
0
2
2
2
2
2
2
2
8
8
24
24
24
0
8
8
0
10
8
48
48
0
0
0
8
0
8
0
4
32
0
0
0
8
8
0
0
0
8
0
0
8
8
8
0
0
0
0
0
0
0
3
8
8
8
0
0
0
0
10
19
32
0
8
0
0
8
0
0
0
16
16
4
0
0
0
0
1
1
8
0
0
8
16
16
8
12
16
1
1
8
8
8
2
16
17
16
16
2
8
25
8
0
0
0
16
16
1
1
1
0
2
2
0
0
0
2
0
0
0
0
0
0
0
0
8
24
16
16
16
16
16
8
24
0
0
0
25
25
25
8
25
25
16
8
8
16
16
4
8
8
8
8
8
8
8
2
2
0
8
8
8
8
0
0
0
4
0
8
16
8
8
0
16
16
0
8
0
0
0
1
0
16
8
8
8
8
8
8
8
0
0
2
2
4
20
0
0
0
0
0
4
56
2
2
8
16
16
16
0
8
0
8
16
22
22
22
22
16
16
0
8
0
16
16
16
0
0
16
24
8
1
1
1
4
4
0
2
0
0
0
0
0
8
0
0
16
8
8
8
0
0
32
0
0
16
16
1
2
0
0
0
0
0
8
0
4
4
12
12
12
32
32
32
0
0
1
1
16
16
16
0
0
0
1
16
24
17
0
0
0
8
8
8
8
0
36
24
18
18
8
0
4
0
0
16
0
8
0
0
0
0
4
4
4
8
0
1
1
0
16
16
16
0
4
4
27
0
8
16
16
16
4
0
16
0
4
4
0
8
16
8
8
0
32
32
0
1
16
16
0
4
0
0
33
4
8
0
24
1
8
1
0
0
4
0
1
1
1
1
0
2
16
8
8
32
32
16
16
16
16
16
16
4
4
4
0
32
20
20
20
20
0
0
0
0
4
16
16
16
2
0
2
0
16
8
16
16
1
16
16
5
8
12
8
0
8
8
0
0
16
0
0
0
8
0
20
20
20
1
1
8
0
0
0
16
8
8
8
8
8
0
0
8
8
8
0
0
4
0
0
0
8
8
8
0
0
1
1
1
1
57
8
8
0
0
0
0
0
2
0
0
0
0
8
24
10
16
0
0
0
16
1
16
8
0
8
8
0
0
1
0
1
1
0
0
16
8
16
19
30
1
1
0
0
8
1
1
16
16
16
16
8
8
36
0
8
8
0
16
24
0
0
8
8
8
0
4
12
16
0
4
16
16
16
0
8
8
0
0
0
0
16
16
0
0
8
0
0
16
0
0
8
8
8
8
1
16
16
34
4
4
4
0
0
0
0
8
0
16
8
8
8
0
0
0
16
6
22
1
9
9
32
16
16
16
0
0
16
0
0
17
17
8
0
2
2
2
4
4
4
4
17
40
40
0
0
28
16
2
2
2
0
20
20
8
16
16
0
0
1
0
0
0
27
4
8
0
0
0
0
0
0
0
16
2
2
2
2
8
8
2
8
8
8
1
8
8
8
0
24
24
0
0
0
0
0
8
8
0
8
8
8
0
8
8
16
8
8
8
8
8
8
8
16
18
16
27
40
0
0
8
8
4
8
8
8
8
0
0
0
0
0
8
16
10
10
0
0
0
0
8
8
9
16
16
0
0
0
0
0
0
0
0
16
16
16
0
0
9
8
8
32
32
8
8
1
5
12
20
1
0
0
0
0
0
0
0
8
0
0
0
0
0
0
16
16
16
8
2
0
24
24
24
16
16
30
8
8
8
0
0
0
0
8
24
8
8
4
1
1
8
0
0
0
0
21
21
21
32
0
0
0
0
0
16
16
2
2
2
16
16
8
6
8
8
0
0
16
16
25
8
0
0
16
0
1
1
1
4
4
16
0
0
16
0
0
5
0
0
0
16
8
0
0
0
0
4
0
0
0
16
8
8
8
8
8
0
4
9
32
32
0
0
0
8
0
0
0
8
0
4
4
2
1
0
0
0
4
4
0
0
16
16
0
0
0
0
4
4
4
0
0
0
0
0
0
32
2
17
16
8
8
8
16
16
0
8
0
0
4
4
8
8
32
0
8
8
8
16
24
0
8
8
8
8
4
0
0
5
24
4
8
8
8
12
0
0
32
8
16
8
20
20
20
16
16
16
8
8
8
0
0
32
32
32
16
16
16
16
16
17
0
16
0
0
13
8
8
0
0
0
0
0
16
0
8
8
8
0
0
0
0
0
0
4
0
8
8
8
8
16
8
8
8
8
0
12
8
8
16
0
48
48
18
8
0
16
16
1
1
32
8
0
8
0
0
0
0
4
8
32
16
16
8
8
8
8
8
16
33
1
1
16
48
48
50
0
8
8
8
8
8
16
8
2
2
4
0
16
16
52
52
24
0
0
8
0
0
16
0
0
0
10
10
0
26
0
8
1
0
0
8
0
16
4
40
0
0
28
0
0
6
0
0
0
0
0
0
0
16
16
16
16
16
8
4
8
16
16
16
8
8
0
0
0
0
0
16
8
20
16
0
0
0
0
0
0
4
16
16
4
4
1
1
1
1
1
1
1
1
1
0
0
8
0
1
4
16
58
8
8
8
0
0
0
0
0
0
0
4
4
16
16
4
4
4
4
1
8
0
1
16
8
8
8
8
8
8
8
8
8
8
8
8
8
24
4
0
0
20
3
8
8
8
8
1
8
8
0
4
0
0
0
0
8
8
0
0
0
16
16
4
8
8
16
0
0
0
20
20
0
1
1
0
8
0
0
0
0
0
0
16
16
16
16
16
16
0
0
32
32
16
8
0
0
16
16
0
6
8
24
0
0
0
8
8
1
8
8
8
4
8
1
8
8
4
0
0
0
20
9
32
8
0
0
0
0
0
0
0
24
24
36
8
8
8
4
8
0
0
0
0
8
1
0
24
0
16
16
0
0
16
8
2
1
0
9
16
8
8
8
8
0
19
19
0
0
8
8
0
16
16
0
8
4
4
4
16
16
28
0
8
8
8
8
1
0
8
8
4
4
1
0
0
0
0
0
0
0
16
8
4
8
24
24
2
2
8
8
8
8
16
16
25
1
8
8
8
4
0
0
0
8
0
0
16
16
0
8
8
8
8
8
1
0
0
28
28
8
16
16
16
16
0
0
32
32
0
0
2
2
0
0
8
8
8
10
10
0
4
4
4
4
0
8
8
8
8
0
0
2
0
8
16
16
16
16
16
16
16
16
0
8
24
4
16
8
8
28
0
8
0
0
0
8
8
0
16
16
16
2
2
0
0
0
1
0
0
2
0
0
4
0
0
0
0
16
16
8
0
0
2
0
8
16
1
1
2
16
0
10
2
2
2
4
0
8
8
16
16
16
16
8
0
0
0
0
0
0
0
14
0
1
8
8
16
16
0
0
0
16
16
16
17
16
0
24
16
0
4
2
2
8
6
20
8
32
8
8
8
8
16
0
1
1
1
0
0
0
0
0
8
8
0
8
0
0
0
0
16
0
4
4
0
8
0
0
8
8
8
8
16
16
2
16
2
2
2
2
16
16
8
8
8
0
0
32
32
16
16
0
0
16
8
8
0
16
16
16
0
8
18
0
0
0
0
0
0
0
8
8
0
0
8
4
4
0
16
16
16
0
6
6
6
16
8
0
4
8
8
8
8
0
0
0
0
0
0
0
32
0
8
8
32
32
2
0
0
0
0
8
16
16
16
16
16
16
16
16
8
0
8
8
0
8
0
0
28
28
32
32
16
16
8
8
0
0
0
16
0
0
0
0
0
8
0
0
4
4
4
0
16
16
8
8
0
0
0
0
40
32
32
0
0
0
8
8
2
4
0
0
0
0
0
8
16
4
4
4
4
8
0
8
0
8
32
8
8
8
8
8
8
8
0
3
8
20
0
1
1
16
16
8
0
0
0
0
0
1
0
1
8
12
8
8
8
0
0
0
16
8
8
8
8
0
0
4
4
4
16
16
16
17
17
8
8
1
0
8
8
8
26
26
0
16
0
0
16
16
0
8
8
0
8
24
8
0
8
8
16
16
16
0
2
8
0
0
8
8
8
8
24
0
8
8
1
4
4
4
4
0
8
2
2
8
0
4
2
16
16
0
2
16
16
16
8
8
0
0
2
10
4
0
0
0
16
4
1
1
1
0
0
0
0
0
0
1
1
1
0
0
0
0
16
16
16
16
16
10
0
8
41
0
0
16
0
14
4
0
8
8
8
16
1
0
32
0
0
0
0
0
0
0
0
0
0
8
0
4
4
4
8
8
4
0
2
16
4
4
4
16
0
0
0
2
8
8
0
0
8
0
16
1
1
8
8
8
8
0
16
16
1
8
18
8
8
8
8
8
8
0
8
0
0
0
4
0
32
32
32
32
0
32
32
16
0
28
28
28
16
16
16
5
8
4
24
24
8
8
8
24
8
8
8
8
4
8
8
8
0
0
16
22
8
0
0
0
0
0
8
8
0
16
8
2
8
32
32
16
8
24
24
8
8
8
0
2
2
2
2
0
0
18
18
0
1
1
1
0
0
0
0
8
0
0
24
0
0
10
8
8
0
0
10
32
32
4
0
0
0
8
8
8
8
0
0
8
0
0
8
24
16
8
10
0
0
0
0
0
8
9
9
8
0
0
4
4
4
4
0
0
0
0
0
4
4
4
4
17
0
8
2
2
2
16
2
0
0
0
0
0
8
8
8
0
2
8
17
17
0
0
8
0
0
0
8
0
1
16
16
16
16
1
8
9
9
31
16
8
4
4
0
0
32
12
16
12
4
24
0
4
8
24
24
1
0
0
10
8
32
32
32
44
44
0
16
16
16
0
0
10
16
8
16
16
16
0
4
16
8
0
0
0
0
0
8
8
8
16
16
0
0
0
0
24
17
1
0
0
16
28
8
8
8
8
22
8
8
8
8
4
0
0
0
8
8
24
24
24
24
8
8
8
0
0
0
4
8
8
8
8
8
8
8
0
17
17
17
16
1
16
16
0
2
2
16
16
16
4
4
4
4
17
8
40
0
0
16
16
16
16
8
16
0
0
0
0
0
8
0
0
2
2
2
16
0
4
4
4
32
0
8
8
16
8
0
0
3
0
8
8
8
0
0
8
3
0
8
8
4
16
16
24
24
24
0
1
1
1
8
0
0
16
0
0
1
32
32
0
8
8
0
0
8
8
4
4
8
0
8
17
2
16
16
16
16
16
16
16
0
8
8
0
1
1
1
4
28
16
0
0
8
0
8
8
8
8
2
2
2
0
0
0
8
8
8
0
0
8
0
0
0
0
8
1
1
1
8
8
8
8
8
8
0
0
16
16
16
16
0
0
0
32
32
32
32
32
2
2
2
16
8
8
8
8
8
0
0
0
0
26
44
16
16
16
16
16
8
8
0
0
32
4
4
2
2
8
0
0
8
16
16
1
1
1
1
1
16
16
16
16
9
9
9
1
1
16
8
8
8
0
0
0
20
16
8
8
8
0
0
16
16
16
16
16
8
4
4
0
1
12
0
10
10
0
16
0
16
0
0
5
5
5
5
1
8
8
4
0
0
0
0
16
16
1
1
1
1
0
0
0
0
0
32
0
0
0
0
4
4
0
0
0
8
8
2
16
4
4
4
4
4
4
4
8
8
1
1
16
0
0
0
0
8
8
8
8
41
41
8
8
0
0
0
0
24
8
8
5
5
5
8
8
16
16
16
16
16
0
8
8
0
0
8
8
8
16
0
0
0
0
0
16
0
16
16
2
0
1
1
32
8
0
0
0
0
8
40
0
8
2
1
0
2
2
8
8
24
2
2
0
0
0
0
0
16
16
2
8
0
0
16
16
16
16
16
16
16
44
0
0
8
16
0
0
17
17
0
0
0
0
0
16
16
16
1
0
0
4
8
4
20
20
0
0
16
16
16
4
4
8
9
9
9
9
9
0
0
8
8
3
8
0
1
1
1
4
12
12
1
1
0
28
8
8
8
0
4
4
0
0
8
0
8
8
16
17
0
3
0
0
0
0
0
0
0
17
17
1
1
0
0
0
16
8
8
9
8
0
0
0
7
0
0
0
0
16
0
8
1
1
0
0
8
16
16
8
0
4
4
4
4
8
0
0
0
0
8
0
0
1
1
1
16
0
8
16
8
8
8
0
8
16
8
8
1
8
0
0
0
4
4
24
8
1
8
10
10
10
10
20
20
20
8
8
0
0
0
0
0
1
16
1
5
5
5
5
5
5
5
0
0
0
0
24
0
0
16
16
14
2
8
3
0
16
16
32
4
4
4
19
8
0
2
1
8
20
20
8
16
16
0
0
0
8
8
16
12
0
0
16
8
0
0
0
1
1
0
1
4
4
4
4
4
16
4
1
0
0
0
0
0
8
8
29
4
24
24
24
24
2
0
0
0
0
0
3
3
0
0
0
42
16
16
58
16
0
8
8
8
8
8
16
16
16
0
0
0
0
18
16
2
2
2
8
8
8
17
0
8
8
8
8
0
9
8
16
0
0
0
1
2
2
2
2
16
16
0
0
44
44
8
4
4
8
16
8
8
0
0
0
8
0
0
0
0
8
32
32
2
6
2
0
8
0
0
0
4
4
1
1
4
1
8
18
18
18
16
16
16
8
8
0
2
34
2
0
0
0
4
4
6
5
0
8
8
16
0
8
16
0
0
0
4
0
8
16
16
0
8
20
4
2
0
0
16
16
24
24
8
8
4
16
16
16
16
16
16
2
2
2
2
9
9
9
6
4
0
0
0
0
16
0
16
16
0
0
0
0
0
4
8
0
8
0
8
58
16
0
0
1
8
8
8
8
8
8
8
8
8
8
8
8
0
4
0
8
16
1
8
0
0
8
8
0
0
8
8
0
4
4
0
12
12
12
4
0
0
0
0
57
57
4
4
16
0
2
0
8
0
0
0
16
2
0
8
0
16
0
0
16
0
0
0
0
0
0
0
8
0
24
24
24
0
4
0
0
0
16
16
0
16
16
16
0
0
20
0
0
0
0
16
16
16
2
2
2
8
8
8
0
0
0
0
25
25
0
0
16
16
16
16
16
8
1
0
4
4
4
0
24
16
16
16
0
32
32
32
32
1
4
4
0
0
2
1
1
1
28
0
16
2
8
29
0
0
8
8
8
0
8
8
0
36
36
36
16
16
16
0
2
0
32
24
24
24
8
8
0
8
8
32
8
8
0
0
0
0
0
0
24
20
20
0
0
0
16
8
8
8
0
48
8
48
32
24
2
2
0
1
4
16
24
0
4
8
4
8
4
12
8
0
0
1
0
4
4
8
2
4
4
4
8
8
8
0
8
16
16
0
1
0
0
0
4
4
4
4
4
2
11
1
11
8
8
4
4
4
0
0
28
28
28
28
2
6
6
0
2
0
8
0
0
0
0
0
0
0
32
8
16
16
24
16
8
8
0
0
0
0
8
8
8
0
0
0
8
8
8
2
2
0
0
20
4
4
4
4
4
4
4
1
1
8
8
8
1
1
16
8
20
16
16
16
1
1
4
0
11
0
0
0
0
8
8
16
16
16
57
57
16
16
17
16
24
24
16
16
16
16
9
8
8
0
0
0
0
4
1
17
17
16
16
0
0
32
32
0
8
8
8
8
16
0
1
1
0
16
8
8
0
0
8
8
2
8
8
0
0
0
4
12
12
8
24
24
24
16
0
0
0
24
0
0
0
0
4
4
0
8
8
0
20
20
8
8
0
0
16
8
4
4
16
0
8
8
8
0
0
0
0
0
0
24
16
16
16
16
16
4
4
0
0
0
0
0
32
32
32
0
0
8
16
16
8
8
8
0
0
0
8
8
0
0
16
16
16
0
0
4
8
2
2
2
18
0
2
2
0
5
8
8
0
0
16
16
16
16
16
0
8
8
0
8
0
22
22
8
0
8
8
0
0
0
32
32
0
0
0
0
0
16
16
16
16
2
2
6
16
16
16
0
2
8
8
0
0
0
16
0
0
0
17
17
1
1
0
0
8
8
8
8
8
0
16
16
16
1
0
4
8
8
8
8
8
8
8
8
16
0
0
0
0
16
12
0
24
24
8
0
53
0
0
8
2
12
12
8
8
8
4
0
16
24
24
4
4
4
8
8
16
48
16
16
16
16
4
4
4
0
8
8
0
4
8
8
0
8
0
16
16
16
0
0
8
8
8
8
16
16
16
16
34
34
16
4
4
4
4
4
8
8
0
18
18
18
8
0
0
0
0
8
8
24
24
1
1
17
17
17
4
8
8
8
9
9
9
9
9
9
9
9
0
0
1
24
0
2
2
2
2
8
17
17
17
1
8
26
9
52
16
16
16
0
16
8
8
8
8
8
16
16
0
0
0
0
8
24
8
8
8
16
16
16
16
8
0
0
20
0
8
8
8
0
0
0
1
20
20
20
20
4
0
32
8
0
8
16
8
8
8
8
16
16
0
16
16
2
6
4
2
8
8
8
8
0
0
24
24
24
0
0
0
0
8
8
0
0
0
16
16
20
32
0
4
4
4
0
0
16
16
8
8
16
16
16
0
8
16
16
16
16
0
0
8
8
20
0
4
0
8
8
0
0
0
16
0
16
0
8
8
0
1
1
4
4
8
4
0
0
0
0
16
0
16
8
8
0
0
0
0
0
8
0
0
0
24
24
4
4
4
0
0
8
8
8
0
0
0
8
0
1
0
8
8
0
4
4
12
0
16
0
0
8
0
1
1
16
50
0
0
0
4
5
8
16
16
16
8
8
8
4
4
8
4
4
0
0
0
16
16
16
0
0
0
16
16
0
4
0
0
8
8
0
0
8
8
8
1
0
16
0
1
1
1
4
16
8
16
4
0
32
32
32
32
2
0
4
0
0
0
48
4
0
0
2
8
16
0
8
8
8
8
4
16
16
16
16
40
40
40
40
4
0
0
0
0
8
8
8
8
8
8
8
8
8
8
8
0
0
0
36
17
0
16
8
8
8
4
17
1
16
16
16
0
8
4
0
0
2
0
8
6
0
0
8
8
8
0
0
0
0
1
0
0
0
8
8
8
8
8
8
8
8
0
8
8
8
0
0
8
8
12
0
0
0
8
4
9
8
2
0
0
0
0
24
0
8
16
16
16
0
0
0
0
0
32
40
1
0
0
16
1
0
19
2
2
2
8
16
16
24
24
0
0
4
4
0
0
8
16
16
0
16
16
8
8
56
56
8
8
8
24
24
0
0
0
0
8
8
33
33
33
33
33
0
0
8
8
8
8
8
0
0
0
0
0
0
0
0
0
4
8
0
16
16
16
16
16
16
4
4
2
2
2
0
0
0
16
0
4
0
0
16
16
0
0
0
0
1
1
1
16
0
4
4
6
0
16
8
4
8
0
0
16
40
40
40
1
0
8
8
16
8
16
0
41
8
0
1
0
4
0
0
8
24
24
0
8
0
0
8
2
2
20
0
4
0
0
0
0
0
1
1
1
16
16
16
16
8
1
0
28
0
0
0
0
16
16
2
2
2
2
8
8
16
0
4
0
0
16
1
1
2
2
2
2
0
0
8
1
0
8
0
0
16
0
0
0
0
0
16
24
24
0
0
8
0
0
0
0
0
0
1
1
8
0
0
12
1
8
0
0
2
2
2
2
2
8
8
16
0
0
0
0
0
24
16
20
20
20
1
0
0
0
0
16
8
25
25
56
2
8
8
8
0
0
16
5
5
0
0
0
0
0
0
0
0
16
0
8
8
8
0
0
8
16
24
20
4
4
4
4
0
8
16
16
0
0
0
8
8
8
16
16
0
0
0
8
16
32
16
8
8
0
16
16
16
16
2
32
8
0
0
3
3
8
0
0
0
0
2
2
2
0
8
2
2
2
2
0
0
0
0
4
0
4
4
4
1
49
0
0
0
12
8
16
16
8
16
1
1
32
32
16
1
16
16
4
4
0
8
4
16
0
0
16
0
12
5
1
8
0
0
24
16
12
16
16
8
8
24
0
2
2
0
16
16
16
16
16
16
4
8
2
0
0
1
1
0
0
0
0
0
8
0
16
16
16
16
8
8
8
8
8
2
0
0
0
0
12
1
16
17
8
8
0
8
16
8
8
8
8
0
0
16
16
16
2
2
2
2
2
2
20
0
0
0
0
16
8
8
0
20
0
0
16
16
0
16
16
16
2
2
2
2
16
16
0
0
0
32
16
0
8
16
16
0
4
33
16
0
8
0
1
1
0
0
0
0
12
12
16
0
0
0
32
32
9
32
8
8
0
0
0
10
8
8
8
16
8
0
0
32
0
2
8
8
0
0
0
16
0
0
0
8
0
4
4
0
8
0
2
0
9
16
16
0
0
1
1
8
8
0
0
0
0
4
4
3
16
8
0
0
0
9
4
4
16
0
0
16
4
8
1
9
9
9
8
16
16
16
8
16
16
16
1
1
2
2
0
1
0
5
5
16
8
8
0
0
4
4
4
0
0
18
18
18
0
48
8
31
16
16
38
38
38
38
16
1
0
17
0
0
0
0
8
4
4
20
0
8
0
0
0
0
0
0
8
1
16
8
8
8
8
16
16
8
8
8
8
8
8
1
1
16
4
8
40
40
0
0
0
0
0
0
8
0
24
24
16
16
0
1
1
1
16
16
8
8
4
4
2
18
18
18
0
8
8
2
2
2
2
2
2
4
20
8
8
8
8
8
16
16
16
8
0
0
8
8
8
0
8
0
0
0
2
4
32
16
5
32
0
12
0
8
8
0
16
16
16
8
16
16
16
8
8
8
16
16
16
16
16
16
0
0
2
0
0
0
8
8
8
8
8
8
0
0
24
24
24
0
0
0
4
8
16
8
8
18
24
24
24
0
8
8
8
16
16
16
16
16
8
0
0
4
4
4
8
8
8
0
0
0
8
34
4
1
1
8
8
8
16
16
8
32
0
16
16
4
16
20
20
20
20
20
20
20
20
8
8
8
8
0
0
4
8
8
8
8
4
16
8
56
4
4
4
4
0
0
0
0
0
0
4
4
8
8
0
0
16
16
16
16
0
0
0
0
0
1
8
0
0
0
16
16
16
16
0
0
0
0
16
16
4
4
24
0
0
8
8
0
9
1
2
0
8
8
8
8
8
1
8
8
0
0
8
8
8
0
0
16
0
0
2
8
1
1
0
8
0
0
1
0
0
0
0
0
16
4
0
10
8
8
8
16
16
1
0
40
32
2
16
16
0
0
0
8
10
8
8
8
8
8
8
0
8
8
25
25
25
25
8
16
16
18
18
18
0
0
32
1
1
12
16
16
2
2
32
32
8
0
16
16
16
8
24
8
24
8
24
2
0
0
0
0
4
0
0
1
16
16
16
16
0
8
8
8
8
4
0
4
9
0
1
8
0
8
8
16
16
8
0
8
8
0
0
0
0
16
8
8
16
4
0
0
0
8
0
8
8
32
20
16
16
16
16
16
8
16
8
0
0
16
16
16
16
0
16
16
1
32
32
32
32
32
8
8
0
0
0
2
2
9
9
9
18
0
0
0
0
10
0
0
0
16
40
18
0
3
1
1
1
24
4
0
4
4
4
16
16
16
16
0
0
0
0
0
0
0
0
0
8
0
0
2
54
1
16
8
8
8
16
20
20
20
0
0
0
16
0
0
8
8
8
8
8
1
1
0
2
8
8
8
8
8
4
8
16
8
8
0
4
8
0
0
8
8
0
8
8
1
1
1
9
1
0
0
0
8
8
8
16
16
16
8
9
9
0
0
0
0
4
4
0
8
8
0
0
25
25
0
1
5
0
26
8
8
8
8
8
8
32
1
1
8
8
10
2
8
2
16
16
16
16
16
0
8
8
1
0
8
52
20
20
0
4
0
0
8
8
8
48
48
48
0
0
0
16
16
8
0
0
0
4
4
8
16
16
40
40
16
0
0
0
0
0
0
0
16
4
0
0
0
0
0
4
4
8
0
0
8
8
16
8
0
8
8
8
16
16
22
22
0
16
0
8
0
0
0
0
0
32
32
32
32
32
32
32
32
0
0
0
2
0
0
20
20
8
0
0
16
16
8
0
4
8
16
32
40
0
0
16
8
16
16
16
0
8
8
4
0
16
0
0
20
16
5
1
1
24
16
16
16
0
0
0
0
12
16
17
2
1
21
0
8
8
16
16
0
0
8
8
8
8
25
25
8
0
16
0
0
4
4
16
16
16
5
5
8
16
16
0
2
2
2
2
2
2
2
2
2
8
8
8
16
16
0
0
0
0
16
16
16
0
8
48
8
8
8
8
4
0
0
0
16
0
0
16
16
8
8
8
8
8
8
8
0
8
9
4
8
8
8
8
8
8
1
8
8
4
20
8
8
0
8
8
8
2
8
8
0
8
8
16
16
8
1
0
0
0
0
0
0
16
16
16
16
16
0
17
8
0
0
0
0
8
8
0
4
8
8
2
0
0
0
0
1
0
8
0
0
6
6
8
8
8
0
0
0
0
0
0
0
0
0
0
0
8
8
17
8
0
16
8
16
16
0
12
12
16
0
20
16
0
0
0
8
0
0
0
24
8
8
8
8
0
0
16
0
8
16
16
16
16
16
0
16
17
0
16
16
16
0
8
4
4
32
16
16
16
16
16
16
0
0
0
0
2
0
8
8
2
8
8
8
0
0
4
8
8
2
2
20
8
8
8
8
2
1
1
8
8
8
8
8
9
24
24
24
0
16
0
8
0
16
16
16
0
0
0
8
4
4
4
4
0
0
0
4
4
0
32
1
1
1
0
0
4
0
0
4
4
8
8
0
0
16
16
8
8
8
8
33
60
1
32
0
2
4
16
16
0
16
16
16
16
16
16
0
0
0
16
16
0
2
0
0
0
4
4
0
2
2
1
2
2
8
0
0
8
8
0
0
8
8
8
0
0
0
2
0
0
0
24
24
24
24
24
32
32
8
0
0
0
24
16
2
24
40
8
8
8
8
0
8
8
33
33
24
24
0
16
0
0
8
8
8
24
8
8
0
4
1
0
0
8
0
0
0
4
0
0
0
24
24
24
24
24
24
0
0
0
0
0
8
0
0
0
0
16
0
24
24
24
24
8
0
0
0
32
0
8
8
8
8
4
2
0
0
8
8
16
8
8
17
17
17
17
0
16
0
0
0
0
32
9
9
8
24
24
1
16
8
0
0
0
0
0
0
0
0
24
20
20
0
0
0
0
8
8
0
0
12
8
0
0
16
16
16
16
0
16
16
8
8
8
8
8
0
0
4
16
0
6
8
8
8
0
0
0
16
16
16
16
16
0
32
32
8
8
24
8
2
8
0
0
0
0
18
18
8
25
0
0
16
32
1
0
0
0
0
0
0
0
8
24
24
0
0
0
0
0
4
4
4
0
0
0
0
0
0
24
24
0
0
0
1
1
0
0
0
0
0
0
8
0
0
0
0
0
0
0
8
48
48
48
1
0
0
2
0
0
16
16
4
16
16
8
0
0
0
16
16
0
0
0
8
8
8
0
0
1
5
1
0
0
16
16
16
37
5
0
24
16
0
0
0
0
0
4
8
0
4
16
16
16
8
16
0
0
0
0
0
16
0
0
4
4
4
8
8
8
0
24
0
0
0
16
16
16
0
0
0
16
16
1
1
10
6
8
8
16
16
0
4
4
16
16
0
0
16
16
16
8
0
24
32
32
0
0
4
8
1
1
1
8
8
4
0
0
0
0
0
18
0
1
0
8
0
8
8
4
8
49
49
49
8
8
0
0
0
0
16
16
8
4
4
4
8
8
0
8
8
16
16
0
16
16
16
0
16
16
4
8
8
8
8
22
8
0
0
8
8
8
8
16
2
2
16
4
1
1
0
1
0
4
4
4
16
16
16
16
16
16
0
0
0
0
8
8
8
8
8
1
1
16
8
8
8
0
0
4
0
0
32
32
32
8
8
8
8
24
1
0
0
0
0
8
16
16
16
16
4
13
13
8
16
16
16
8
32
32
2
0
0
0
16
48
56
12
1
16
0
0
0
0
0
0
8
1
1
32
32
32
32
32
16
16
16
0
0
2
0
0
0
0
24
24
24
8
8
24
8
8
8
8
0
0
0
0
0
0
0
0
0
1
0
49
49
1
0
0
4
4
0
0
0
0
16
8
0
0
0
0
20
0
0
8
8
0
8
0
2
1
0
0
8
4
16
0
16
0
0
8
8
0
0
4
0
8
8
8
0
8
8
8
8
8
8
8
16
0
0
2
8
8
8
1
0
8
0
4
8
2
8
39
39
39
39
40
0
5
8
0
0
0
0
4
1
16
8
8
18
1
1
25
16
16
9
8
4
0
48
4
8
16
36
0
0
4
8
8
8
4
13
8
1
0
1
0
32
0
2
8
8
8
0
32
8
8
8
0
0
2
2
0
0
0
0
0
0
0
8
8
8
8
8
1
1
1
8
8
8
8
8
8
8
8
8
8
8
0
24
0
0
0
0
0
0
1
8
0
4
4
4
0
8
8
8
8
8
8
8
8
16
16
16
16
1
1
9
9
9
0
4
2
2
2
0
8
0
4
4
4
4
4
1
1
0
12
0
32
0
0
1
1
0
0
16
16
0
2
24
32
16
16
16
2
2
2
18
0
0
0
0
0
0
0
0
8
8
8
8
8
8
8
20
20
0
0
0
4
0
8
8
8
0
16
8
0
4
0
32
16
16
16
16
16
6
6
16
16
16
8
0
0
0
0
16
16
16
1
1
8
8
8
8
8
8
0
0
0
32
0
0
24
16
16
16
16
16
12
1
1
1
1
4
4
16
0
26
8
8
8
8
8
8
8
0
8
16
16
16
8
0
32
0
8
8
8
8
8
8
8
8
16
0
2
0
0
4
16
16
16
1
0
16
8
8
8
8
8
8
24
24
6
8
8
2
16
0
16
0
0
4
8
8
0
0
17
17
0
0
8
32
13
8
0
0
16
0
0
0
1
1
1
1
0
0
8
0
0
0
5
0
0
0
0
0
0
0
0
24
1
0
0
0
4
4
4
0
1
1
0
0
16
16
16
16
16
0
0
8
4
4
24
0
2
16
16
32
0
16
16
2
8
0
4
4
4
4
0
0
8
4
8
8
8
8
0
0
8
4
8
8
8
16
8
8
0
8
24
24
24
0
0
0
0
1
0
0
2
8
8
8
8
1
16
16
16
16
0
8
1
1
1
1
1
1
1
8
0
16
4
4
32
4
4
0
0
0
8
8
8
0
20
8
8
8
0
16
16
16
0
8
8
8
16
16
8
16
16
0
0
16
8
8
0
8
8
0
8
8
8
8
8
8
1
8
8
8
2
2
8
8
8
8
8
16
2
16
40
8
8
8
8
2
2
16
16
0
0
16
16
0
0
0
0
8
40
19
19
19
19
19
19
19
19
19
19
16
0
8
16
16
0
0
16
16
0
0
0
0
8
0
32
24
24
16
16
16
16
16
16
0
16
0
16
16
16
16
0
0
0
0
8
8
20
0
16
2
18
18
0
0
0
1
16
8
8
8
0
8
25
8
8
8
4
8
8
8
8
8
4
8
8
8
8
16
8
8
0
0
16
2
8
0
0
0
0
0
4
4
4
32
8
24
0
8
57
1
1
8
16
16
0
6
6
6
6
1
1
1
1
1
1
1
0
0
8
8
0
18
0
4
4
0
0
17
0
0
24
0
0
8
0
1
4
4
0
0
0
0
0
0
0
0
8
4
16
2
2
0
0
0
4
4
4
0
16
4
4
8
8
8
0
0
0
0
4
8
1
2
8
4
34
16
0
2
2
8
8
8
8
16
16
16
2
2
2
8
8
8
0
8
8
16
33
18
16
11
1
2
0
8
8
8
0
0
16
0
0
1
1
1
8
8
0
0
16
16
16
8
8
0
16
4
6
6
6
6
0
0
8
0
0
0
4
4
0
0
9
0
16
16
0
0
0
0
16
0
0
8
2
24
24
24
24
0
8
8
16
0
24
24
0
0
16
0
0
0
24
0
32
0
8
8
24
16
16
2
1
0
16
2
2
8
8
8
8
0
0
16
16
0
0
0
1
1
1
1
0
0
0
24
8
0
0
0
0
0
0
0
0
8
8
0
24
24
0
0
0
4
4
0
0
0
16
16
16
0
8
18
8
0
4
4
0
0
8
8
0
1
32
16
0
0
0
0
0
0
0
0
2
1
16
0
16
0
0
0
0
0
0
8
9
8
8
8
0
0
16
16
0
32
32
16
16
0
8
0
4
0
0
30
8
8
0
2
8
0
1
0
16
0
0
0
8
8
8
8
16
0
0
0
0
16
16
16
8
0
0
0
8
8
32
32
32
20
16
0
17
17
8
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
20
24
16
0
8
48
4
4
0
8
0
0
0
16
0
1
8
32
0
4
0
4
4
4
8
8
8
0
0
0
8
8
0
4
8
8
8
8
0
8
0
0
0
0
16
16
16
16
16
16
16
16
16
16
16
16
0
8
8
8
16
10
0
1
1
24
0
16
16
16
0
4
0
2
2
0
0
0
0
0
8
0
16
0
4
25
16
4
0
12
8
0
0
0
0
20
16
8
8
8
8
8
57
0
8
8
0
0
0
0
8
8
8
8
8
28
4
4
27
27
2
16
16
16
0
9
1
8
8
0
0
0
0
0
0
1
17
0
4
0
16
22
0
0
0
0
0
8
0
0
24
16
32
16
8
4
0
1
1
1
1
1
2
2
2
0
2
10
10
18
18
18
18
0
0
0
0
2
8
8
0
0
0
0
0
0
0
0
0
8
8
8
8
16
0
0
0
10
10
10
10
10
16
16
16
2
0
0
0
0
0
2
24
24
1
0
0
32
1
1
16
16
16
0
9
8
0
4
0
20
0
0
16
0
0
8
8
8
8
8
2
18
18
16
24
24
24
24
0
16
16
16
16
0
0
33
0
0
8
8
20
0
0
8
8
8
8
16
2
0
0
8
8
8
0
0
4
25
25
25
0
0
0
16
8
0
0
4
4
32
0
20
0
0
0
16
16
8
0
0
0
16
16
16
1
0
0
16
16
16
0
2
16
4
0
0
24
24
24
0
16
16
16
8
8
0
8
0
0
0
0
0
8
8
0
0
0
0
4
1
9
1
1
1
4
4
4
4
4
4
4
16
16
24
24
24
0
0
0
0
0
8
24
0
8
8
0
16
16
16
16
2
4
19
1
1
1
1
4
8
8
0
0
0
0
4
8
1
0
0
0
8
8
8
2
2
8
0
0
16
16
0
1
0
0
4
16
9
9
9
9
9
0
8
8
8
8
8
0
16
16
0
0
0
4
4
4
4
16
8
8
8
6
0
0
0
0
2
2
0
8
24
16
16
0
8
8
0
0
29
8
1
1
24
24
0
8
8
16
8
8
8
0
0
16
16
4
12
0
0
0
0
0
0
0
16
1
1
1
0
16
18
18
0
0
8
8
20
4
4
0
0
25
0
0
8
32
32
1
8
16
16
16
16
16
16
8
0
1
8
25
20
20
8
28
8
0
16
4
4
4
4
8
16
5
4
4
4
0
8
8
8
8
0
16
8
8
0
16
4
0
16
16
8
0
0
4
35
35
32
32
8
16
16
16
0
1
1
0
0
0
0
0
0
0
0
0
52
52
52
0
8
8
24
4
4
4
0
8
8
16
16
0
0
0
16
0
18
18
18
18
18
18
0
16
16
0
0
0
0
4
4
8
8
17
17
17
0
16
0
1
1
0
4
0
0
0
0
0
0
1
18
18
0
8
8
0
0
0
0
8
16
2
1
1
8
16
16
16
16
16
16
16
16
41
41
41
41
0
0
0
28
0
0
0
0
0
0
8
8
8
8
8
16
8
8
0
1
1
33
33
16
4
16
16
2
2
2
0
56
56
56
0
0
0
0
12
12
33
0
2
2
8
8
8
8
56
0
0
0
8
16
8
16
8
8
9
28
28
16
24
8
16
0
0
20
20
1
16
16
16
16
16
0
12
0
0
8
8
8
0
0
0
0
0
0
0
32
32
32
0
0
16
0
8
8
8
8
16
16
8
8
0
0
16
16
16
8
16
16
16
16
16
0
1
1
8
8
8
8
8
8
6
8
8
17
8
1
1
0
0
0
20
20
0
8
8
8
8
8
0
20
0
16
16
4
4
1
1
1
0
0
32
0
24
24
24
0
16
28
16
16
24
24
0
16
8
8
8
2
0
0
0
0
24
24
24
16
0
17
1
0
0
0
0
0
0
5
5
5
1
12
0
20
32
0
0
8
8
0
16
0
0
0
16
0
2
2
16
16
2
16
0
0
24
16
0
32
16
16
16
16
8
0
0
8
0
8
0
16
1
1
16
16
0
0
8
0
2
2
0
0
0
0
0
1
1
17
0
8
8
8
8
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
1
0
0
0
20
20
20
8
16
0
16
34
0
0
8
8
8
4
0
0
0
0
0
0
4
4
4
8
8
8
0
8
0
0
4
20
20
16
8
8
16
8
8
8
0
4
10
2
16
16
2
16
1
1
0
0
16
16
8
0
16
16
4
16
16
0
0
0
8
8
8
8
8
0
0
0
0
4
5
0
10
0
32
8
8
0
16
1
1
8
0
0
16
16
0
20
20
2
0
0
33
33
0
0
0
0
0
21
8
4
8
8
0
0
0
0
16
16
16
16
1
1
1
0
0
0
0
16
16
0
0
0
0
0
1
0
0
8
4
4
8
8
16
8
8
8
8
8
8
16
8
24
16
8
8
8
0
8
16
8
8
8
8
0
0
2
1
1
16
8
8
8
8
16
0
8
0
0
16
0
0
8
8
10
10
16
16
16
8
16
16
0
16
0
0
0
0
16
16
16
8
8
8
8
8
16
16
16
16
24
4
2
32
4
8
0
0
1
16
16
16
16
9
8
18
5
13
5
0
8
8
8
8
0
0
0
32
0
0
8
9
9
9
0
0
0
16
16
17
8
0
2
0
24
24
8
16
0
0
0
13
32
8
8
18
16
16
16
8
8
0
0
8
8
8
8
28
16
3
0
16
16
16
1
1
1
1
16
0
0
0
0
8
8
0
0
0
16
16
16
16
16
16
0
0
0
0
2
0
0
0
6
6
6
6
6
6
8
1
1
0
0
0
0
32
32
0
16
32
0
8
0
8
0
29
0
0
0
0
0
8
24
16
0
4
4
8
8
0
48
48
0
0
0
4
4
4
4
1
1
1
0
0
2
16
4
4
4
4
4
4
4
0
0
0
25
25
16
16
18
8
16
0
0
8
16
8
0
0
8
8
8
8
8
1
0
0
24
24
3
0
0
0
21
21
40
40
40
0
16
16
0
20
20
20
0
16
8
0
0
2
2
2
2
2
2
0
0
0
2
2
2
8
8
8
0
0
16
16
8
8
0
0
16
8
8
8
8
0
0
0
0
8
24
24
24
24
0
0
4
4
0
49
24
24
24
24
0
0
16
8
0
0
0
0
0
2
0
16
32
16
1
8
24
0
0
16
18
2
2
1
8
0
0
56
0
0
0
8
32
8
0
0
0
0
16
16
16
16
16
8
16
16
16
16
2
0
0
0
16
16
16
0
17
8
1
17
0
0
0
0
9
9
9
9
9
0
0
4
4
4
4
4
12
8
6
6
24
8
8
8
0
0
4
0
0
0
16
16
0
32
0
0
32
0
16
16
8
0
16
16
2
2
2
4
28
28
16
16
16
6
8
16
8
0
0
0
0
8
4
4
4
4
4
8
8
36
1
1
1
0
16
0
16
0
0
24
0
8
32
32
8
16
8
16
0
0
8
8
8
8
8
16
16
1
0
0
4
0
0
0
0
8
1
4
0
0
4
4
0
16
16
26
0
0
0
0
0
0
20
8
0
4
0
0
0
16
16
0
0
0
4
0
16
8
16
0
0
0
4
8
0
24
4
0
0
0
0
0
8
20
20
20
0
0
0
16
1
8
8
0
0
0
8
0
0
0
0
0
2
2
2
2
0
0
4
4
8
4
16
0
0
16
16
0
0
0
8
8
0
0
8
8
8
0
8
8
0
0
0
0
16
16
16
8
8
8
8
8
16
1
0
24
0
16
0
0
0
0
12
8
8
16
16
16
16
16
16
16
16
16
16
0
0
16
16
2
2
2
2
4
4
4
4
8
8
0
0
4
0
0
0
0
8
0
0
0
0
0
16
8
0
8
16
0
0
16
8
1
1
0
0
4
8
0
62
62
62
0
0
16
0
0
0
0
8
4
4
4
16
0
0
0
16
0
8
16
8
8
0
0
8
8
0
8
8
0
16
16
8
8
8
16
16
16
16
16
16
16
0
8
0
0
0
16
16
16
16
8
2
0
1
1
1
2
2
16
16
16
8
8
4
0
0
2
8
8
0
0
0
0
1
17
16
16
2
2
0
8
8
8
8
32
32
32
8
0
0
0
0
0
0
0
0
0
20
8
16
1
48
48
1
0
8
8
8
8
0
8
1
1
1
1
1
4
4
0
0
8
8
0
2
2
3
2
0
1
4
4
16
16
16
16
0
0
8
2
16
13
8
8
4
0
0
0
0
0
0
30
2
0
32
32
32
0
0
1
16
16
8
0
20
4
4
4
0
0
0
0
0
16
16
16
0
2
2
2
2
0
8
8
0
0
0
8
0
32
32
0
0
0
24
0
0
0
4
1
0
16
0
0
0
0
8
8
8
8
8
4
18
0
8
24
8
8
0
0
0
16
16
0
0
0
1
0
0
16
0
0
20
25
0
8
0
16
4
4
0
16
8
16
0
4
4
0
4
16
16
0
0
0
0
4
0
0
0
4
4
4
4
0
0
0
0
4
4
8
0
18
0
0
8
8
8
8
16
0
0
24
0
0
0
0
0
8
16
26
16
4
4
16
16
0
0
0
8
8
8
1
8
0
18
18
0
8
8
0
4
0
0
8
0
0
0
16
24
0
0
8
8
8
8
28
5
48
32
1
1
1
0
16
16
0
0
0
0
8
8
8
8
0
4
4
0
0
16
16
8
24
8
0
0
0
0
1
1
1
17
32
32
32
16
10
0
0
8
8
4
12
10
10
0
0
8
8
8
0
8
0
0
8
8
0
0
0
2
2
16
16
16
4
8
8
0
4
4
8
4
25
24
24
0
0
2
0
3
1
1
0
0
0
31
0
0
0
0
8
8
4
4
4
4
0
0
1
1
1
1
0
12
16
9
9
2
2
1
8
8
8
0
0
0
0
4
12
16
0
0
16
18
0
16
8
4
9
9
4
4
18
18
18
0
0
8
16
16
28
8
8
8
0
0
1
0
8
16
16
2
24
24
0
0
16
4
16
22
2
2
2
2
2
2
8
8
8
0
0
8
8
16
4
1
0
48
0
2
2
4
0
8
8
8
0
0
0
0
0
0
0
16
0
4
4
4
4
0
0
0
0
2
2
2
0
8
8
8
8
8
8
18
1
1
1
2
8
2
4
4
0
0
8
0
0
0
16
0
0
8
0
9
0
8
0
0
4
8
0
8
0
0
8
8
8
0
0
20
20
1
1
1
8
4
16
4
0
0
0
0
8
8
8
8
0
0
16
16
16
16
0
0
0
0
0
1
16
16
1
32
24
24
24
0
16
0
0
0
16
0
0
0
0
8
32
32
32
32
32
32
16
0
0
8
8
0
0
0
0
40
1
0
4
1
1
1
8
24
0
0
16
0
16
0
0
0
0
0
16
16
16
16
16
16
16
4
0
8
20
20
20
0
16
0
16
0
4
24
24
57
35
35
35
16
16
16
16
0
0
0
0
0
0
8
8
0
0
1
0
16
16
16
2
0
0
0
0
24
24
0
8
0
0
8
0
16
0
0
1
1
1
16
0
1
1
1
0
0
0
16
8
8
0
0
0
0
0
0
0
0
0
0
0
2
2
0
16
0
0
1
8
8
0
0
0
0
1
1
0
0
12
24
16
1
0
0
32
32
0
4
4
4
0
0
0
32
0
0
0
0
32
32
32
8
8
8
20
8
57
57
8
8
0
0
0
9
0
32
16
16
8
8
8
8
0
0
0
0
8
8
8
0
0
0
8
8
8
8
8
8
8
8
8
0
8
8
16
16
20
28
28
0
0
1
4
4
4
4
4
4
0
0
0
8
8
8
0
0
0
8
8
16
16
4
0
8
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
17
0
8
8
8
24
24
24
0
0
0
0
0
16
16
16
24
24
0
36
32
16
8
0
0
0
48
48
48
4
0
32
8
1
24
0
0
16
16
8
7
1
8
0
4
1
0
0
0
0
0
0
0
0
0
8
8
24
0
0
16
16
16
16
0
16
16
0
20
16
18
18
18
8
16
16
0
8
8
0
8
52
16
4
4
1
0
0
0
8
8
8
8
8
1
16
0
8
32
0
24
2
2
8
1
0
0
2
8
8
8
8
16
0
0
8
61
0
0
0
16
25
2
2
2
16
0
0
0
0
36
36
32
0
16
17
4
4
8
8
0
8
0
16
32
48
8
56
2
4
36
32
0
16
9
0
0
8
0
57
2
8
2
2
4
16
0
8
8
8
0
0
0
0
4
4
0
14
0
0
32
1
3
0
0
0
0
0
16
16
16
2
2
4
2
2
0
16
4
4
4
4
16
16
16
16
16
8
8
8
8
8
16
1
8
8
8
8
8
8
4
4
8
0
16
16
0
1
1
8
16
16
0
17
16
0
16
16
8
8
0
0
4
4
4
4
0
9
0
13
13
20
20
20
16
16
16
16
16
8
0
8
17
0
2
2
18
8
40
40
40
16
8
0
0
0
8
0
0
0
0
0
0
1
8
54
16
32
32
32
32
0
16
0
4
16
32
0
0
0
0
0
0
0
1
8
0
16
4
4
4
4
5
16
16
0
0
0
0
16
0
8
8
4
6
6
0
0
0
4
0
3
3
3
3
8
8
8
0
0
8
0
0
0
8
8
4
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
16
16
8
8
8
12
4
0
0
8
0
0
20
4
2
2
16
16
8
1
1
0
0
4
2
16
16
0
0
0
4
4
2
8
8
0
0
0
0
16
16
0
1
0
20
20
4
8
32
0
0
0
0
16
1
1
1
0
16
16
16
16
16
16
16
16
8
0
4
20
20
24
24
24
16
10
8
8
8
8
8
24
24
0
16
18
2
0
0
0
16
16
16
0
0
8
8
0
16
0
4
4
0
0
19
0
0
0
0
32
8
0
0
16
16
16
8
8
16
0
4
4
16
16
0
0
4
0
0
0
0
0
0
0
8
0
16
16
0
4
27
8
8
8
8
8
16
16
16
1
1
1
1
8
0
0
0
16
6
10
2
0
0
0
0
0
10
2
0
0
0
0
0
0
0
0
0
8
33
1
0
0
16
0
1
1
8
8
8
8
12
4
16
16
8
8
8
16
8
0
0
8
0
8
0
4
4
16
16
16
16
16
0
8
8
0
0
1
8
0
0
0
0
2
8
0
0
8
8
0
0
16
0
8
8
8
8
8
16
8
8
24
24
8
20
0
0
3
3
0
0
32
8
8
8
1
4
4
16
16
0
8
8
8
0
8
0
2
2
2
4
8
8
8
32
32
32
0
32
0
0
0
8
8
0
0
6
6
0
0
0
0
0
4
4
0
8
0
0
0
5
5
16
16
0
0
0
0
0
0
25
25
25
8
16
16
16
0
8
8
8
8
8
2
0
16
16
16
16
32
16
24
28
0
8
16
16
2
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
8
8
8
8
12
2
8
0
0
0
8
4
8
0
0
0
0
0
0
0
0
8
8
1
2
8
8
8
2
2
2
1
1
0
8
8
0
0
8
0
0
16
16
0
0
0
8
6
0
24
8
24
8
8
8
2
17
4
16
16
0
2
0
0
2
0
0
0
8
0
0
0
4
0
16
16
16
16
16
16
0
0
0
0
0
0
0
0
0
28
28
16
8
16
24
24
24
24
8
8
8
8
8
0
16
0
0
8
0
4
4
4
4
16
16
16
8
0
0
0
0
8
24
1
0
0
0
1
8
0
0
0
0
8
8
8
8
8
0
33
0
0
34
34
0
0
0
4
4
0
0
8
8
8
2
40
8
0
16
0
0
0
48
32
0
0
1
0
8
8
8
8
8
8
4
0
8
2
0
0
0
0
0
0
0
0
0
0
16
16
16
6
6
4
0
0
1
8
0
0
0
0
0
8
8
8
0
8
4
4
6
4
32
8
0
0
0
8
0
16
16
16
0
32
0
8
8
2
2
2
2
2
2
2
8
8
16
16
16
16
16
16
16
16
16
16
16
0
16
16
8
14
0
24
24
0
52
52
8
8
40
16
0
9
1
1
0
16
27
16
0
4
4
4
4
0
0
0
0
16
8
8
2
2
8
8
4
32
32
8
0
0
0
0
0
20
15
15
0
8
16
16
16
1
0
16
1
0
4
0
0
0
0
8
8
8
16
16
16
32
32
8
32
32
0
0
0
4
12
0
0
0
9
9
0
8
8
8
0
8
17
17
17
0
8
8
8
16
24
8
8
8
8
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
32
32
0
0
20
8
8
8
0
8
16
16
16
16
2
2
2
24
0
0
16
39
39
1
1
0
0
0
0
8
8
8
16
16
8
8
8
0
16
16
6
4
2
0
8
16
16
16
16
1
16
1
16
16
16
16
16
16
0
2
16
16
16
8
8
8
8
0
0
0
15
15
16
8
8
4
4
16
16
16
16
8
8
8
16
16
16
16
16
0
0
32
32
32
1
16
16
16
0
16
16
8
16
31
16
8
0
16
0
16
16
0
0
48
16
8
16
8
0
0
8
0
0
16
0
10
0
8
8
8
1
0
0
2
2
16
16
16
9
0
16
16
0
16
16
20
20
24
16
0
0
0
0
16
16
16
8
8
0
0
16
0
0
8
8
8
8
16
16
2
8
0
16
52
21
16
16
4
8
8
16
0
0
0
4
0
8
8
4
0
0
16
16
8
8
8
4
0
16
16
0
0
8
0
0
2
8
2
8
8
32
0
0
0
0
2
2
1
0
0
8
8
8
8
0
0
0
8
22
8
8
0
0
0
4
0
8
8
1
0
8
8
20
0
0
0
0
4
4
4
0
8
0
1
2
16
8
1
1
1
0
16
8
0
0
0
0
12
8
24
8
8
44
44
4
0
8
34
34
8
0
0
0
0
0
4
4
8
2
2
0
8
16
0
8
0
16
0
0
0
16
16
16
8
8
8
16
4
16
16
0
0
8
8
8
4
16
2
4
9
8
1
1
0
0
4
16
4
0
0
0
0
8
8
0
0
0
16
0
16
16
16
16
59
6
6
6
20
2
0
16
16
0
1
0
0
0
0
8
24
8
8
8
8
0
0
0
0
0
8
4
16
16
16
16
16
16
0
0
1
2
2
2
2
0
0
16
0
48
48
0
0
0
16
8
4
16
16
8
8
0
8
32
1
0
0
0
0
0
16
2
8
8
16
16
0
0
16
40
40
40
8
0
8
0
16
24
16
16
16
20
0
0
0
0
0
0
9
0
40
2
4
4
8
0
0
20
20
0
0
0
0
0
4
2
0
0
16
16
8
8
8
16
0
8
8
8
8
18
16
8
8
0
8
8
26
26
26
27
32
8
2
2
16
1
1
1
8
0
28
28
28
34
34
34
8
0
0
0
0
8
1
8
8
8
0
0
0
0
0
0
0
4
0
4
4
0
0
0
16
16
16
25
16
32
16
0
4
0
8
8
8
8
16
0
0
0
8
8
0
16
32
0
8
8
16
1
1
1
8
8
4
4
4
4
1
8
8
10
10
4
4
4
30
16
16
16
16
16
0
0
0
8
8
16
16
8
16
8
8
8
11
0
17
0
0
8
8
8
0
4
4
4
0
0
0
0
2
16
8
62
8
8
20
20
20
0
18
0
8
4
4
0
8
1
1
1
0
0
0
8
0
0
8
0
1
1
0
0
0
16
16
0
40
40
10
0
16
18
0
8
0
0
0
8
8
0
4
4
0
1
0
0
16
16
8
0
32
8
0
1
0
16
0
0
0
0
16
4
0
8
0
8
0
0
0
17
0
0
16
16
16
0
16
16
8
1
16
16
16
16
16
16
0
0
20
0
0
16
24
0
8
0
0
0
0
0
4
0
0
0
0
0
8
8
0
0
0
1
24
2
2
16
16
16
16
0
2
2
1
16
2
4
0
2
16
0
2
0
0
2
2
8
1
17
1
0
0
0
0
0
8
8
0
0
0
0
8
8
16
16
16
16
8
40
1
0
0
0
0
2
24
0
0
0
0
0
0
2
2
2
2
0
0
0
8
8
0
0
0
8
0
0
0
0
16
8
4
4
2
2
0
8
0
8
8
16
16
16
16
9
9
9
20
0
4
4
8
0
0
0
0
8
8
16
16
2
2
2
0
0
16
16
16
16
16
16
13
0
16
16
8
0
16
16
16
16
4
16
1
1
1
1
1
1
4
1
1
16
16
16
16
16
16
1
1
16
16
8
0
0
0
0
36
36
8
4
4
0
0
8
8
34
34
34
34
8
8
8
8
32
32
4
24
24
8
2
0
8
8
8
8
8
1
0
2
2
0
0
2
2
2
16
0
0
8
4
16
0
0
8
0
0
16
16
8
8
32
32
4
2
2
0
8
1
8
4
16
8
8
0
16
8
1
0
0
1
1
0
0
0
24
0
16
1
8
0
8
16
16
21
4
1
0
0
0
0
8
16
8
0
20
0
0
8
1
4
4
0
8
0
0
0
3
3
8
8
8
8
0
0
0
0
0
0
32
0
0
0
1
1
16
16
1
16
24
24
8
44
4
0
0
0
16
0
0
0
16
32
32
0
0
0
0
16
0
0
0
24
24
24
24
8
0
0
1
8
8
0
2
2
2
0
0
18
0
0
0
0
16
0
49
49
0
8
18
8
24
24
24
24
0
0
0
20
0
0
4
8
16
8
8
8
20
20
20
0
8
8
16
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
4
4
0
0
0
0
16
16
16
0
16
16
0
4
8
2
0
7
7
7
7
1
1
0
4
4
0
16
0
0
16
8
8
4
0
12
16
16
4
0
18
0
0
32
0
16
0
16
1
0
4
16
2
2
2
0
0
2
2
2
2
1
1
9
4
2
16
9
8
12
12
2
2
2
2
0
0
0
8
8
24
0
0
8
0
4
12
20
20
20
8
0
0
0
2
8
8
0
0
0
12
12
12
12
16
1
1
0
8
4
16
8
32
48
16
1
1
1
1
1
8
8
0
18
18
18
0
0
4
4
4
0
0
16
16
16
0
0
0
0
0
8
8
8
8
4
4
8
8
4
21
21
21
0
0
0
0
16
20
48
20
4
19
8
8
8
0
4
4
4
0
0
0
20
20
12
12
0
0
16
0
0
0
0
16
16
16
0
0
16
0
0
0
12
16
16
8
0
0
8
8
8
8
1
0
0
2
2
0
0
0
0
0
16
0
16
16
16
0
0
0
0
0
0
8
8
8
8
8
0
16
24
0
0
0
8
8
16
16
16
16
16
20
8
8
8
8
8
4
0
0
0
0
4
4
4
0
8
8
8
2
12
12
2
16
0
0
42
42
0
0
0
0
0
8
0
2
0
0
0
0
0
8
9
32
0
16
16
16
8
8
8
0
4
4
0
0
0
1
4
8
0
16
2
0
0
2
0
0
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
4
2
32
32
32
18
0
0
0
16
16
8
8
16
16
16
8
8
8
32
32
32
16
16
16
16
16
16
16
16
16
16
4
8
8
0
8
8
8
0
16
4
4
8
8
6
0
0
4
16
0
1
1
1
16
16
16
8
8
8
0
0
0
0
2
16
0
0
2
0
8
8
8
4
4
12
4
4
8
8
0
0
0
8
0
3
3
4
4
4
8
0
32
0
0
0
8
4
14
16
16
24
16
28
0
0
2
2
0
0
0
0
0
0
12
12
4
4
0
0
8
8
8
8
3
17
1
1
1
1
1
8
8
0
32
16
16
16
16
16
16
16
16
16
16
16
16
0
0
16
16
0
0
8
8
8
0
0
2
0
16
0
0
0
0
0
0
0
2
2
8
8
4
4
32
32
32
32
20
20
0
0
0
0
1
0
8
0
0
0
0
0
0
8
0
8
8
8
16
0
0
0
0
0
16
16
0
2
2
0
0
0
0
0
0
0
0
1
0
0
0
0
12
12
8
8
0
24
0
8
8
8
8
8
0
0
17
17
1
1
1
1
8
0
16
5
4
16
0
0
0
20
0
0
0
0
17
0
1
0
0
0
1
8
8
8
4
5
5
0
1
48
8
9
9
9
9
6
0
0
0
24
16
16
16
17
16
8
0
8
0
20
20
0
0
0
8
0
0
0
8
0
24
24
24
24
24
24
8
1
0
0
1
1
16
0
1
3
16
16
8
8
8
8
8
0
0
16
0
0
0
0
8
16
10
10
0
0
0
0
0
0
0
16
16
18
8
0
16
4
0
0
16
0
1
1
8
8
2
2
2
2
0
0
18
18
0
0
16
16
16
16
16
16
8
8
0
0
8
8
9
0
0
0
16
0
0
0
48
48
48
48
3
8
8
8
4
4
10
10
16
16
0
0
0
8
8
1
1
8
8
0
0
12
12
0
16
16
0
8
8
8
8
0
0
0
24
24
0
8
8
8
0
1
8
0
0
0
0
0
5
8
2
0
0
0
2
0
0
0
0
28
8
8
8
0
0
0
32
32
32
32
16
0
2
1
1
0
16
4
8
8
8
0
0
0
20
17
8
5
0
0
0
0
0
16
0
32
32
18
8
8
16
0
8
0
0
8
2
4
8
24
24
8
8
0
0
0
0
16
0
0
16
0
0
0
0
0
8
8
8
8
4
4
16
16
16
4
1
1
16
0
16
16
8
8
8
0
0
2
2
8
24
1
1
8
0
0
0
16
16
16
16
8
16
16
8
8
0
0
0
4
0
0
0
2
0
16
16
16
8
8
0
0
16
16
16
0
0
0
0
0
0
8
0
8
8
8
8
8
8
0
0
4
4
0
0
0
0
0
0
0
0
1
0
0
18
18
18
18
18
20
2
2
16
16
8
8
8
0
0
0
20
20
8
16
4
8
1
2
8
4
12
8
8
16
2
4
0
16
16
16
4
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
0
0
8
2
24
16
0
0
16
16
12
1
16
16
16
16
8
0
0
0
0
16
0
8
16
16
24
24
4
0
0
0
16
4
4
0
8
58
58
16
16
8
2
2
16
16
0
0
0
1
0
0
0
8
0
16
0
0
0
4
18
16
0
0
8
8
8
4
0
0
0
0
0
4
4
0
0
2
2
16
16
16
16
0
16
0
0
24
16
16
8
1
1
4
1
1
1
16
0
0
4
4
4
4
4
4
4
4
4
1
1
1
0
0
0
0
8
8
8
9
9
9
0
0
0
0
0
0
0
8
8
8
16
17
4
4
4
4
4
4
1
0
8
8
0
8
0
8
0
16
16
16
0
8
20
8
8
20
20
20
0
0
8
8
8
1
0
0
16
16
0
24
8
8
18
0
8
8
8
16
16
8
0
8
8
2
0
0
16
8
8
16
0
0
0
0
49
32
28
28
28
4
2
0
8
0
16
16
16
16
24
24
24
24
0
4
0
16
8
8
0
0
0
16
0
0
0
0
0
16
16
0
24
8
8
0
0
0
5
5
5
5
5
2
32
32
2
10
10
17
1
1
0
16
24
24
0
0
8
8
8
8
16
16
16
16
16
16
16
16
16
16
0
8
8
8
8
8
8
32
4
16
16
0
2
2
0
8
8
4
1
0
5
0
0
32
0
0
0
0
0
8
0
0
16
0
8
12
16
0
4
4
0
8
8
8
0
0
8
8
32
0
0
16
16
8
19
19
16
16
0
0
16
0
8
0
0
0
32
16
16
16
16
0
16
16
0
0
0
0
0
0
0
48
8
8
0
16
16
8
0
0
4
37
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
2
2
1
1
1
0
0
0
0
0
0
24
9
9
28
8
8
0
0
8
8
8
8
8
8
8
8
48
16
0
0
8
8
0
16
9
6
8
16
16
0
0
0
4
4
0
16
0
0
0
2
2
2
2
24
24
24
24
1
1
1
16
16
16
16
16
16
0
0
8
0
0
24
0
0
0
0
0
0
6
8
32
8
8
0
0
8
4
2
0
2
2
16
16
8
8
16
1
1
0
21
8
16
16
52
4
8
8
8
8
0
0
0
8
8
8
8
2
0
0
0
0
0
2
8
4
0
2
8
0
8
0
16
8
0
0
8
8
4
4
0
0
4
8
2
8
8
8
8
8
16
16
0
0
0
0
0
0
10
10
8
17
0
2
2
25
16
0
0
8
4
20
20
6
8
2
2
2
8
8
8
8
0
0
24
20
16
28
32
32
0
4
0
0
0
20
0
0
8
0
0
0
0
0
0
8
0
0
4
16
0
0
8
0
24
24
0
16
16
0
0
0
0
0
16
16
16
16
0
0
0
0
0
1
8
2
4
4
0
0
8
0
2
8
8
16
0
3
0
18
16
16
8
24
5
0
24
24
24
8
0
0
0
16
16
16
16
16
0
0
0
0
0
16
0
0
8
8
0
24
24
8
8
16
4
0
0
0
0
16
0
0
0
0
0
0
0
16
0
0
0
0
0
16
8
0
16
16
0
8
8
0
0
0
16
16
1
1
0
1
1
1
0
0
16
16
0
16
16
16
0
16
16
16
0
5
4
4
24
24
0
8
0
0
0
0
0
8
8
8
8
33
39
0
8
0
0
0
0
0
24
0
58
58
58
0
0
0
0
0
8
0
8
0
1
0
0
8
8
8
8
8
18
0
8
25
16
8
0
17
8
8
20
20
20
0
0
0
0
0
0
0
0
0
8
8
8
8
2
0
0
0
16
16
16
8
8
32
32
1
9
0
0
16
8
8
8
8
8
8
0
0
0
0
0
0
8
0
5
8
8
4
4
0
0
8
8
24
4
4
4
6
6
8
9
9
9
9
9
9
0
0
0
0
0
4
4
8
8
8
8
2
0
0
2
2
0
0
8
8
8
16
16
16
16
0
32
1
0
16
16
0
8
8
0
0
8
0
0
16
0
0
12
2
0
0
0
0
17
0
0
0
0
0
0
8
8
0
1
8
8
8
0
2
2
0
16
0
0
2
18
8
41
41
0
4
0
5
16
16
0
0
8
8
8
8
8
0
0
0
8
0
8
8
8
8
8
8
8
0
8
24
0
0
0
0
0
8
8
0
0
0
1
0
16
8
8
8
16
1
16
1
8
0
0
0
24
24
24
0
0
0
1
8
8
8
8
0
0
0
0
0
0
8
0
8
0
0
0
16
16
16
0
8
8
4
24
24
0
0
0
8
16
16
24
24
8
8
0
0
1
4
4
0
0
0
16
8
0
0
8
0
16
8
8
0
0
8
0
0
16
0
20
20
0
21
1
1
8
24
0
0
8
8
16
16
16
16
0
0
0
0
0
4
16
0
0
24
0
0
0
0
24
24
48
48
0
0
0
0
15
8
8
24
24
16
16
16
8
8
8
16
16
16
0
0
8
8
8
8
8
0
0
1
40
16
16
16
16
16
34
34
8
8
8
0
0
16
0
8
0
16
4
4
4
24
1
33
32
0
8
0
12
12
20
0
8
8
8
8
0
0
0
0
16
16
16
16
16
0
4
4
20
2
32
2
2
8
8
0
0
16
29
20
20
24
8
8
8
0
0
0
4
8
8
16
16
16
0
16
16
16
8
8
8
24
16
16
12
8
26
32
8
8
0
2
0
0
0
16
16
1
0
8
8
8
0
0
0
0
0
16
16
20
4
20
0
9
9
8
16
16
0
4
4
0
0
0
0
8
19
0
8
40
0
16
24
0
16
16
16
16
8
1
1
16
8
0
0
0
8
8
8
16
16
0
0
4
18
16
16
16
16
0
0
2
6
2
0
0
0
16
8
8
8
0
1
1
1
0
13
16
16
16
0
0
0
33
8
8
0
8
0
8
0
16
16
0
3
19
0
0
0
4
8
0
0
8
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
24
24
24
24
0
0
16
0
0
16
16
0
16
16
0
8
8
0
0
8
8
8
0
0
0
8
8
8
8
0
0
0
0
0
0
0
8
16
16
0
0
0
2
2
32
0
0
0
0
0
0
2
1
0
0
0
8
8
0
8
53
4
4
4
4
4
4
4
16
24
24
24
24
2
2
2
2
2
8
0
16
0
0
2
0
0
0
8
1
0
0
8
0
0
0
0
0
16
32
1
1
1
1
4
4
0
0
18
0
0
0
0
0
4
0
0
0
0
8
8
0
0
4
0
8
0
8
28
0
0
16
16
16
16
16
8
0
0
0
0
4
6
0
16
16
16
8
1
8
8
8
8
0
0
0
8
8
16
2
8
8
8
8
0
8
0
0
8
8
2
8
0
8
0
8
16
0
24
24
24
24
0
29
0
4
4
16
4
0
4
8
4
4
0
20
20
1
0
16
0
28
0
0
2
2
2
40
0
0
0
0
24
16
8
0
0
0
0
4
1
16
16
16
16
16
8
8
0
8
8
8
1
1
17
1
1
0
0
8
1
1
1
8
8
4
0
8
8
16
0
4
4
4
4
4
4
1
8
0
16
1
0
8
8
16
16
16
16
8
8
4
16
0
16
16
0
0
1
0
4
4
0
8
0
8
9
0
0
16
8
8
0
0
0
0
16
0
0
0
0
0
4
8
8
8
8
8
8
8
0
8
8
8
16
18
0
0
32
0
0
0
0
0
8
8
2
4
0
16
1
16
16
16
16
1
5
0
16
2
16
14
0
16
20
8
4
8
8
1
1
1
5
0
0
0
2
2
8
16
8
0
0
8
8
16
16
0
0
0
24
8
8
8
8
8
8
8
8
0
0
0
8
8
16
16
16
8
8
0
8
8
8
4
0
0
8
8
20
20
16
0
8
0
0
8
8
16
0
0
4
4
4
16
16
0
0
0
8
0
4
16
16
16
6
4
1
8
8
57
57
16
0
16
16
16
16
16
16
8
8
32
16
16
8
17
0
0
0
28
28
28
28
0
16
6
0
0
0
0
0
16
0
8
2
0
0
0
4
4
16
16
0
0
0
8
16
16
0
0
0
16
16
0
8
8
6
0
2
16
20
20
20
20
20
16
16
0
8
8
8
0
0
0
32
0
0
8
8
0
0
0
0
0
10
16
16
16
16
0
16
0
0
1
8
0
0
8
0
8
8
8
8
0
4
4
0
0
1
38
0
16
9
0
8
8
0
0
1
1
8
8
8
8
16
0
0
0
0
8
0
4
4
16
16
8
12
0
1
1
0
0
13
13
13
13
1
32
32
32
8
8
8
8
8
16
16
8
16
0
8
0
0
8
8
8
1
1
1
1
11
11
8
8
8
0
0
0
0
0
24
24
24
24
44
44
44
0
8
8
0
4
16
0
0
0
2
4
4
0
0
4
4
8
8
17
17
8
8
8
8
4
8
8
16
8
0
8
2
0
0
0
0
0
16
8
2
2
4
4
4
0
16
0
0
2
0
1
0
8
0
1
1
8
8
8
0
0
16
8
8
8
8
32
0
0
0
9
9
0
16
16
16
8
0
0
0
2
8
8
8
16
16
0
0
0
0
0
1
8
0
0
0
0
0
0
0
0
25
0
0
8
0
0
18
18
16
16
16
16
16
32
8
8
8
8
16
16
16
4
8
8
8
0
2
0
4
4
16
0
16
0
0
0
8
2
2
16
8
8
1
1
1
4
4
1
4
4
16
16
0
0
0
3
2
8
8
1
1
16
4
4
8
0
0
0
0
8
16
16
16
16
16
8
8
0
0
0
0
8
8
8
16
16
16
16
0
0
16
4
0
0
0
8
0
0
0
0
0
0
16
0
0
8
2
0
16
0
0
4
8
0
0
0
4
0
1
16
17
16
16
16
16
8
8
0
8
16
16
16
16
0
0
8
8
1
0
0
24
4
24
8
0
0
0
0
4
8
8
8
8
32
4
0
0
0
0
0
0
16
16
16
0
0
24
24
24
24
24
0
0
0
0
16
16
16
0
0
0
0
0
8
8
8
8
8
8
0
8
8
8
8
8
41
41
41
24
0
9
4
20
20
0
8
0
0
8
8
8
4
0
0
0
0
8
0
0
9
9
0
0
0
16
8
1
1
8
0
2
1
8
1
8
32
14
0
0
0
0
0
0
16
40
0
20
8
0
4
2
2
2
0
8
0
8
0
8
8
8
8
8
49
8
8
8
4
4
8
0
0
16
0
34
34
0
4
4
0
0
0
2
0
0
0
0
0
0
8
2
2
24
24
0
0
12
16
2
0
0
8
0
17
4
0
0
0
0
8
8
0
0
0
0
1
1
8
8
8
0
0
0
8
0
0
0
0
9
0
8
24
8
8
0
0
8
8
8
32
32
32
16
16
0
0
0
8
16
16
0
0
0
0
0
8
8
16
0
16
4
16
0
8
8
8
8
8
0
2
2
2
8
8
0
8
8
0
0
32
32
32
0
0
0
16
8
8
8
8
8
4
24
8
8
8
8
0
0
16
8
8
8
0
8
8
0
4
0
0
0
0
2
16
16
16
0
16
4
4
4
4
0
33
33
0
0
0
0
0
0
2
4
8
16
8
0
4
28
4
4
4
4
0
8
0
2
0
0
0
0
0
8
16
16
16
4
8
0
0
8
0
0
8
8
1
0
0
0
1
0
0
0
2
8
8
8
8
8
8
0
0
0
2
8
8
0
2
0
4
4
0
0
4
8
0
33
0
8
8
0
0
0
4
4
0
8
8
1
1
1
10
17
17
0
0
0
0
0
0
8
8
8
8
8
8
8
0
0
0
8
16
0
0
0
0
0
0
28
28
12
0
1
0
0
0
0
0
0
0
8
8
16
16
18
18
18
8
0
18
50
0
2
8
12
8
8
0
0
0
8
8
8
8
8
16
16
16
9
9
24
8
8
0
0
8
8
8
8
8
2
2
0
8
0
4
0
1
4
4
8
0
0
8
8
8
8
8
58
0
50
8
16
16
0
0
16
0
16
16
1
0
0
8
16
0
16
16
16
16
0
16
16
16
9
0
16
16
0
16
32
16
0
0
12
12
16
16
0
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
44
4
0
0
0
0
0
16
16
16
38
34
34
8
0
16
0
0
0
0
1
8
16
16
2
16
16
16
0
16
2
8
33
2
2
1
4
0
0
32
17
0
0
4
0
34
0
8
0
1
0
2
8
2
8
8
8
8
0
0
0
0
0
0
0
0
0
8
8
0
8
2
0
0
8
8
16
16
0
0
0
0
0
0
0
0
4
4
12
12
5
5
5
18
18
0
8
0
0
0
0
8
2
8
8
8
1
32
32
0
8
0
18
18
18
0
0
0
20
4
4
4
0
0
0
0
8
20
0
0
8
12
0
16
0
0
24
24
8
8
8
8
4
20
16
16
16
16
8
8
0
8
0
0
18
18
16
0
0
0
0
16
16
16
0
0
0
0
1
1
1
1
1
1
0
8
8
8
8
8
2
2
1
12
12
8
16
8
8
8
1
0
0
8
8
0
0
0
0
0
32
32
32
0
0
0
8
0
22
8
0
8
16
1
0
8
8
8
0
8
8
8
8
8
8
9
9
9
8
8
0
6
8
8
0
0
0
0
0
16
8
0
0
16
16
1
1
8
8
8
0
0
0
0
0
16
24
24
24
16
16
16
16
10
8
8
8
8
8
4
32
32
0
4
4
1
0
0
0
24
24
8
0
8
24
24
24
16
16
24
16
16
16
12
12
12
12
1
1
1
4
4
4
4
4
4
8
4
4
4
16
8
8
8
8
8
24
1
1
2
0
0
1
0
4
8
8
0
0
1
1
0
0
0
0
8
8
16
2
2
2
0
2
2
16
26
26
26
16
16
8
4
8
0
0
16
32
32
8
0
8
0
0
0
0
1
0
16
16
16
16
16
2
0
0
8
16
16
8
8
1
4
8
8
0
0
8
8
8
0
0
2
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
8
32
32
32
32
0
0
0
8
8
2
2
0
0
0
0
0
0
8
0
8
8
8
8
2
2
16
0
1
16
16
8
1
8
0
32
24
0
8
3
3
32
32
32
8
8
8
0
6
0
0
2
2
0
0
0
0
0
0
16
16
8
12
0
1
1
4
4
4
0
20
20
0
0
0
0
0
0
0
0
8
2
16
0
8
8
8
16
16
16
16
16
16
8
8
8
8
0
0
0
4
4
4
32
16
27
6
8
0
16
1
1
0
0
0
0
0
0
16
2
8
16
8
16
8
0
8
0
1
0
4
0
0
0
8
8
0
8
0
0
0
0
1
1
0
16
0
16
8
8
8
8
8
8
0
5
8
8
8
8
8
8
8
1
0
0
0
0
0
34
34
8
20
8
0
0
32
0
0
0
8
8
8
0
0
4
0
0
0
0
0
0
0
8
8
8
8
8
13
2
2
2
18
18
18
18
18
18
18
18
18
18
18
8
0
1
10
10
10
10
10
16
16
16
32
32
32
32
16
0
1
0
0
0
0
0
0
16
0
8
8
1
1
1
1
0
18
2
8
8
8
8
8
60
60
0
0
0
0
0
0
1
1
2
4
24
0
0
8
19
0
24
24
16
0
0
0
16
16
16
16
8
4
0
32
32
8
16
16
16
16
8
8
20
16
16
0
0
16
16
28
2
32
4
4
4
8
8
8
4
4
4
0
0
32
0
0
8
8
8
8
1
8
8
8
9
9
16
0
8
8
8
17
17
0
0
0
0
0
0
0
0
9
8
8
8
0
16
8
0
16
8
16
2
2
0
0
0
0
0
24
8
18
4
4
6
4
8
4
4
4
0
0
0
0
16
1
20
0
16
16
16
16
1
24
8
8
8
8
8
8
8
0
0
0
8
17
17
4
4
4
4
4
16
8
8
8
8
16
0
0
0
8
8
8
0
8
8
8
32
32
0
0
0
0
0
0
0
16
8
0
0
16
16
0
0
0
0
16
16
25
0
0
0
0
0
12
16
16
0
0
0
0
1
1
1
0
16
16
8
1
1
0
0
0
0
0
17
20
4
4
4
4
4
4
4
4
4
0
0
0
1
1
0
0
0
32
32
8
4
8
1
1
32
0
0
16
16
8
0
4
4
0
0
8
8
0
16
16
16
16
0
16
16
32
1
16
0
0
0
24
3
9
1
1
1
1
18
18
8
1
8
8
0
0
0
6
6
16
16
0
0
0
17
17
17
17
0
0
0
0
16
16
16
0
0
4
4
2
0
1
8
8
0
6
0
0
0
32
32
32
0
16
16
0
4
8
0
0
0
16
16
8
8
8
8
8
8
16
8
0
16
4
32
0
18
0
0
0
0
4
2
8
4
4
4
4
0
0
8
16
16
16
0
0
16
16
10
16
16
4
4
4
4
4
2
2
0
0
8
8
0
8
19
0
4
4
4
4
0
0
2
0
0
16
0
0
8
8
8
8
0
16
0
8
8
32
0
0
0
0
0
16
32
0
4
4
4
10
10
10
8
0
16
16
16
16
16
8
12
2
2
2
2
16
16
16
16
8
8
0
8
0
0
0
16
0
0
0
16
16
26
26
16
16
32
0
0
32
1
0
2
4
0
0
0
8
8
0
0
0
0
1
1
1
2
0
0
0
1
1
0
0
0
8
8
8
0
0
8
0
0
0
0
0
0
1
0
0
0
0
2
0
16
16
0
16
0
0
0
0
0
8
1
1
8
8
8
8
0
28
16
12
12
12
0
0
1
1
25
25
25
8
8
8
0
2
8
16
0
26
26
8
16
12
0
24
24
0
0
32
2
0
0
1
16
8
8
16
16
8
0
32
4
4
4
4
24
24
24
1
8
8
2
2
2
2
2
2
2
0
0
0
0
24
24
8
8
8
16
16
0
8
1
8
24
16
0
20
16
16
0
0
0
8
0
0
4
4
4
4
8
0
8
0
0
16
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
32
32
8
8
8
8
16
0
8
0
0
8
8
0
0
8
8
8
8
1
1
1
0
0
8
1
32
1
1
1
16
25
0
18
18
8
8
8
8
32
1
8
26
26
26
26
26
0
8
16
0
1
0
8
8
0
1
4
4
0
4
4
4
8
8
8
8
0
16
0
16
1
32
32
8
8
4
0
0
2
16
16
16
16
0
1
1
1
16
16
16
16
16
16
1
16
0
1
1
1
0
0
24
24
0
16
0
8
16
16
16
0
0
16
0
0
4
16
0
8
0
0
4
10
0
24
24
0
0
8
8
0
0
0
0
13
0
2
0
16
16
16
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
1
8
0
32
8
32
32
32
0
16
16
16
0
8
1
0
0
1
1
2
2
2
4
0
0
0
0
0
4
8
16
8
0
1
9
0
0
8
8
8
1
1
39
39
0
0
1
16
16
16
0
8
0
0
8
4
4
4
16
16
8
0
0
0
0
16
0
20
0
0
0
16
8
8
3
0
1
0
2
2
0
0
0
0
0
8
17
17
17
17
8
8
8
0
8
8
0
18
18
0
0
8
0
0
0
16
16
0
16
16
16
16
0
8
8
8
4
8
16
20
20
8
8
24
24
16
0
16
0
4
8
4
8
5
16
16
16
4
0
0
1
8
1
8
8
8
8
20
20
20
20
16
4
16
1
1
1
16
0
8
16
0
21
0
0
32
8
0
0
0
0
0
8
8
16
2
30
16
8
8
8
8
8
0
0
16
0
16
16
8
8
4
8
0
0
0
8
8
0
16
5
5
16
8
8
8
0
0
0
0
8
0
0
0
0
0
1
1
1
16
8
8
8
0
16
0
0
0
24
24
22
0
0
0
8
8
0
0
16
4
8
8
24
0
4
4
0
3
0
8
12
12
0
0
0
16
8
8
2
18
8
16
16
4
4
16
0
0
0
0
0
20
20
8
8
16
0
0
8
8
0
32
0
0
0
8
0
42
0
0
8
8
8
0
0
16
2
8
8
0
1
1
0
8
8
8
8
8
0
2
0
0
0
8
32
0
0
8
2
16
16
0
0
0
4
4
16
16
8
0
8
0
16
4
4
4
16
16
16
16
2
2
0
4
4
4
4
20
20
20
1
8
1
24
0
0
0
0
0
0
8
8
8
0
16
4
4
4
0
8
1
0
8
10
8
0
0
8
8
8
8
0
0
16
16
32
16
16
16
16
16
0
16
0
0
8
8
8
0
0
0
0
0
8
20
4
17
8
4
14
14
14
14
14
14
0
5
8
8
8
8
0
16
4
10
20
0
6
8
4
0
0
0
24
8
0
0
2
24
16
0
0
0
26
16
8
0
0
0
8
0
0
0
32
16
28
0
0
0
4
4
16
0
0
0
0
16
16
8
8
8
8
1
16
16
0
16
16
18
22
16
16
33
33
0
56
56
56
0
0
1
1
1
1
1
1
1
1
4
4
0
8
0
0
0
12
12
8
24
16
16
16
26
26
0
0
0
0
0
0
4
4
0
32
0
8
16
4
8
8
8
8
8
16
16
0
16
2
2
20
0
1
8
8
3
3
8
8
26
0
8
8
8
8
0
8
16
16
0
48
16
16
8
8
8
0
0
0
0
0
0
0
8
8
8
8
8
0
0
16
16
0
19
0
1
0
0
8
8
0
0
1
1
1
17
24
0
0
0
0
0
0
8
8
8
0
0
0
0
16
1
0
0
0
2
2
2
0
0
0
16
0
8
8
8
10
0
0
8
4
16
8
2
8
16
36
0
8
16
32
32
8
8
0
0
0
0
0
16
16
16
24
0
0
16
1
1
8
0
0
0
8
8
0
0
0
0
8
0
0
0
8
16
0
0
0
32
0
16
16
48
16
16
0
0
4
8
0
8
8
8
0
0
0
8
8
1
8
8
8
0
0
8
8
0
0
18
18
0
0
0
0
0
0
0
0
8
8
8
14
8
8
8
8
0
8
6
2
2
2
16
0
0
0
0
0
8
8
4
4
0
0
0
0
0
2
1
1
0
0
0
16
1
0
0
32
32
0
0
8
0
0
0
16
16
2
8
8
8
8
8
0
16
16
16
5
5
4
0
0
0
16
0
0
0
16
0
8
8
0
39
16
4
0
0
0
0
28
0
0
0
1
1
1
0
0
0
2
8
8
4
0
0
48
33
33
4
0
0
8
0
0
0
0
24
24
0
0
0
4
4
4
16
16
0
0
9
0
4
16
16
0
32
32
0
1
1
0
0
8
24
24
1
0
24
0
0
4
4
0
0
0
8
8
8
8
8
8
8
2
0
0
16
4
4
16
0
0
32
0
0
0
1
2
0
0
16
16
8
8
8
8
4
4
1
0
0
0
16
16
8
8
8
0
8
16
16
16
16
16
16
16
0
8
8
18
18
8
0
8
0
8
16
25
1
17
16
0
0
9
8
0
0
16
16
16
16
8
1
0
4
8
8
8
8
20
8
4
4
8
16
0
16
16
20
20
16
16
0
0
16
0
1
0
4
16
16
0
0
4
0
0
4
4
0
0
0
0
0
0
0
8
8
8
8
16
16
9
1
20
16
0
8
8
8
8
8
8
8
1
8
14
2
0
8
1
0
0
0
0
0
0
4
0
0
8
16
16
16
0
0
0
0
0
8
8
24
0
8
8
8
16
16
16
8
8
8
24
24
24
0
0
0
0
0
24
0
0
24
16
0
8
8
32
32
4
8
2
1
1
1
9
16
16
16
16
16
16
0
16
16
24
1
7
0
8
8
0
8
8
0
0
0
0
0
0
16
16
16
16
20
16
16
0
0
0
4
4
0
16
8
8
0
0
8
16
16
8
8
8
0
0
0
8
8
8
8
16
16
16
32
32
0
32
32
32
3
3
0
32
32
32
32
16
16
16
0
9
0
0
0
0
24
8
8
0
16
4
8
0
0
34
34
0
8
8
0
0
0
1
8
8
0
4
4
4
0
8
0
0
0
32
40
32
32
10
0
16
4
8
8
1
0
17
1
1
0
0
0
0
0
0
0
8
16
0
8
8
8
0
1
16
0
2
6
0
8
0
0
16
16
16
8
8
8
8
0
0
1
16
16
16
8
2
16
16
9
24
16
0
16
16
0
0
0
0
8
0
24
8
8
8
8
2
2
2
0
1
1
1
0
0
1
8
9
8
8
32
32
8
24
0
0
8
0
0
8
8
8
8
16
4
4
4
4
4
4
4
0
0
0
0
0
0
16
16
8
8
8
8
8
8
8
8
0
2
2
2
2
4
4
0
0
8
8
20
8
0
22
16
8
8
8
8
8
16
16
0
22
22
4
8
0
16
1
1
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
2
2
1
1
0
0
32
1
0
8
8
0
16
8
8
8
8
0
0
8
0
1
1
24
8
8
8
0
18
8
0
0
0
8
0
12
12
8
8
0
0
4
6
6
6
6
6
6
0
8
1
16
0
0
0
4
4
5
8
8
8
0
0
4
4
1
1
0
0
0
0
16
16
16
0
0
0
8
0
0
0
0
0
16
16
12
8
8
8
8
8
8
8
8
8
8
8
4
0
2
8
0
0
0
0
9
9
16
0
16
16
2
24
24
0
0
0
0
16
16
8
0
16
0
0
8
8
0
4
16
1
0
0
0
9
0
8
8
8
8
4
4
1
1
1
0
0
32
0
2
16
16
8
16
0
1
24
8
0
8
0
24
8
16
0
13
13
0
8
8
4
0
16
8
8
4
4
0
0
2
2
8
0
24
8
8
0
4
0
0
0
1
0
1
1
1
8
16
16
16
16
0
8
8
0
0
0
0
0
26
0
0
1
8
24
16
2
16
16
1
16
16
8
8
8
2
16
0
8
16
16
8
8
8
4
4
25
25
25
25
25
16
16
16
8
0
0
0
8
4
8
8
0
8
2
2
2
8
1
0
0
0
0
8
8
8
18
0
0
8
16
16
16
16
32
0
0
0
17
8
3
3
2
4
4
16
8
2
0
5
5
8
8
8
0
0
0
16
16
16
0
8
8
8
0
8
0
0
16
8
16
16
8
8
4
4
4
4
0
0
4
8
8
8
0
8
0
0
2
2
0
0
0
0
16
4
4
0
0
0
0
0
0
4
4
4
8
8
8
20
4
4
8
2
16
8
0
0
16
16
16
16
16
16
16
0
4
16
0
3
32
32
32
0
0
0
0
0
0
0
1
1
16
0
8
0
0
0
0
16
16
16
16
0
8
0
0
4
0
18
20
0
8
34
16
8
4
4
8
8
57
57
16
0
16
0
0
16
8
8
0
8
8
8
0
0
1
1
1
1
1
8
0
0
0
8
8
0
8
0
25
8
8
8
8
0
0
0
0
0
20
28
4
0
0
8
0
16
16
0
0
8
0
0
4
1
8
8
0
0
0
3
3
3
3
3
3
0
8
8
0
0
22
0
0
0
0
0
9
24
0
0
60
16
16
16
16
16
16
16
8
0
16
8
0
8
24
24
24
0
0
16
16
24
8
2
2
2
2
0
16
16
0
0
8
8
0
0
0
32
32
1
1
1
8
2
2
2
24
24
24
24
24
24
24
32
0
24
8
8
0
8
8
0
0
40
40
8
8
1
0
0
2
2
5
5
5
5
5
0
0
0
4
0
0
8
0
16
2
16
0
0
0
0
1
1
1
1
8
0
0
0
0
1
4
4
12
16
16
2
0
0
0
8
16
4
0
0
0
0
1
16
0
0
3
3
0
8
8
16
16
16
0
8
2
16
16
16
8
16
16
16
6
8
13
13
8
8
6
16
12
4
8
0
30
0
16
16
0
1
0
0
8
8
0
0
1
1
8
16
0
8
8
8
13
0
16
16
24
16
8
8
8
2
8
8
8
16
0
4
0
0
0
0
8
8
8
16
16
16
16
16
16
16
16
16
0
0
0
0
0
8
8
1
20
0
0
0
1
1
0
8
8
8
0
0
0
0
35
0
0
0
0
0
2
0
0
16
16
16
8
0
32
32
0
0
24
8
8
0
8
8
8
8
8
16
16
4
4
4
0
0
0
4
1
8
8
8
0
0
0
8
2
8
0
9
0
0
1
16
16
12
0
0
16
8
8
6
1
0
8
0
0
0
32
0
4
0
0
2
2
1
0
0
0
0
2
4
4
4
8
16
0
8
8
1
8
0
37
32
24
28
0
0
28
28
1
8
9
41
0
0
1
1
8
8
4
4
4
4
16
16
40
32
16
2
2
2
2
4
4
0
0
0
0
1
1
1
1
1
0
0
24
0
1
16
16
16
16
16
16
0
8
8
8
8
0
1
16
16
0
16
16
2
32
8
4
0
0
0
0
16
0
0
0
1
0
4
4
4
4
4
4
4
4
8
0
0
0
12
8
0
0
0
0
2
0
0
0
0
0
8
8
8
8
56
8
12
16
0
24
16
0
0
16
18
1
16
0
0
8
2
0
0
0
0
0
0
16
0
8
0
8
0
0
0
4
1
20
0
0
1
1
1
4
4
8
8
8
8
8
8
0
0
0
1
0
8
18
18
18
0
0
0
0
0
4
16
8
8
8
8
20
34
42
42
1
8
8
6
0
0
8
8
0
0
0
0
16
0
0
0
4
4
24
0
0
0
0
8
19
19
0
16
16
32
32
32
0
0
0
16
8
8
8
8
0
0
0
2
16
8
8
16
24
24
8
0
0
0
1
0
16
16
16
16
16
0
0
0
4
4
4
40
32
4
0
0
8
16
0
0
8
0
0
0
4
1
4
4
2
2
2
2
1
1
1
0
0
0
0
0
0
16
8
0
4
4
4
8
32
0
4
0
0
16
16
16
16
0
4
4
8
8
2
2
0
0
0
0
8
0
16
1
1
1
1
1
1
0
16
16
0
0
0
0
0
1
26
26
32
32
32
32
0
0
4
0
0
0
8
1
0
0
0
21
21
0
4
0
0
8
0
0
0
18
18
18
18
0
0
0
0
53
53
53
0
0
0
0
1
0
0
0
0
8
2
8
4
0
8
8
8
8
8
0
1
18
4
8
16
8
2
24
24
1
9
0
0
0
0
0
0
32
0
16
16
16
16
16
16
4
4
12
16
8
8
16
0
0
0
16
16
16
16
16
16
16
16
1
1
1
16
16
16
0
0
0
0
2
2
16
40
0
0
0
8
4
0
16
16
16
16
16
16
1
8
8
8
8
0
16
16
0
0
20
20
20
0
0
8
20
20
0
0
8
8
2
2
2
0
8
8
0
0
4
8
0
4
4
16
4
16
16
0
8
16
32
4
16
16
8
8
8
16
16
32
0
0
0
0
17
8
8
8
4
16
24
4
4
0
0
0
0
1
0
0
0
16
24
24
24
16
17
10
2
2
8
8
24
8
16
16
16
16
16
16
4
49
9
9
16
0
0
8
0
0
0
16
0
16
17
17
0
16
16
8
16
2
0
0
4
4
4
4
4
4
1
32
16
16
0
8
8
9
9
8
0
8
16
16
16
0
32
0
4
8
8
8
3
17
0
0
0
9
0
0
8
18
18
8
16
16
16
0
0
0
0
0
16
0
0
0
8
8
0
0
32
24
8
8
16
0
0
0
0
0
0
0
0
0
0
0
1
1
0
1
0
0
8
4
4
16
0
0
8
0
16
16
16
16
16
16
16
16
16
16
16
16
0
32
0
8
0
0
0
0
0
0
0
0
0
0
0
0
2
2
16
8
8
24
0
0
0
24
16
0
0
0
0
0
0
0
0
12
8
0
0
1
0
32
4
4
32
27
8
16
1
0
0
16
0
0
0
40
0
1
1
1
16
16
0
0
29
0
0
0
16
0
8
8
1
4
16
0
16
16
0
8
32
4
0
0
4
4
1
0
16
16
2
2
16
16
16
2
8
8
16
0
0
8
4
2
2
8
8
8
0
0
2
8
8
8
0
8
2
2
0
1
32
16
8
8
20
8
8
1
40
4
8
8
0
40
0
0
8
8
8
8
0
0
40
0
0
8
4
0
0
8
8
0
0
0
0
0
8
8
8
8
1
0
2
0
16
16
16
16
0
2
1
1
1
1
1
8
24
2
27
8
8
8
16
2
2
16
0
0
8
8
8
8
0
0
0
4
4
0
17
17
16
4
24
48
8
0
59
59
59
59
0
8
24
16
8
8
16
0
0
0
8
8
0
0
0
8
8
8
16
8
24
0
16
16
16
0
0
2
8
0
0
0
0
8
24
24
24
24
24
24
0
3
18
32
50
4
16
16
0
0
34
0
8
8
8
8
16
0
0
8
0
0
0
8
1
16
16
0
16
8
2
0
0
0
0
0
0
0
0
16
4
2
2
16
16
16
0
8
8
8
8
8
8
8
8
1
1
1
1
1
0
0
0
0
0
0
8
17
0
0
16
0
0
0
16
16
16
0
8
8
8
8
8
8
8
8
8
0
8
8
8
0
8
0
4
4
4
4
12
8
8
8
0
24
25
0
0
16
0
8
33
33
33
33
0
16
16
16
16
0
32
35
20
0
0
0
0
0
0
1
0
0
4
4
8
57
0
0
0
0
0
18
16
24
16
8
24
24
0
4
4
4
4
16
12
12
3
1
1
16
8
8
8
8
8
41
8
8
4
0
4
8
0
1
1
8
8
0
2
4
4
8
16
4
4
4
8
8
0
2
2
2
8
22
0
20
0
9
9
54
0
8
8
8
8
0
16
16
16
16
16
0
1
11
16
16
8
1
16
24
24
0
0
0
0
8
8
8
8
0
0
16
16
0
0
0
0
0
0
0
8
8
16
16
0
0
8
8
8
0
0
0
0
0
0
8
24
5
8
8
0
0
30
30
30
30
8
16
16
0
0
1
1
1
1
0
32
32
22
32
0
0
8
16
16
16
16
16
16
16
16
0
24
16
2
16
16
8
8
0
0
0
32
4
0
16
8
0
0
0
0
0
0
2
16
24
0
16
0
0
16
1
8
8
1
1
17
0
16
32
32
32
32
0
8
16
16
1
1
2
1
8
8
0
0
0
0
0
0
0
4
16
16
16
1
29
16
16
16
16
16
2
32
41
41
41
41
32
17
8
16
8
0
8
1
8
8
33
1
1
1
1
8
2
2
16
16
16
0
16
16
8
8
16
8
8
24
0
0
0
0
0
0
16
16
16
16
16
16
8
0
0
16
16
16
16
16
16
16
0
8
0
0
0
0
0
2
2
0
16
1
2
0
0
0
0
8
8
8
0
20
0
18
18
1
8
8
8
4
4
0
8
0
0
0
8
8
8
8
8
8
0
0
0
4
1
16
16
0
1
1
1
1
1
8
8
1
16
16
8
8
2
2
0
0
0
2
2
16
2
0
0
16
16
4
16
16
20
20
32
0
8
35
0
0
0
0
0
4
4
0
0
16
16
16
8
4
0
0
8
1
0
0
0
0
20
1
0
2
2
24
5
0
0
0
16
0
0
2
8
8
0
0
16
16
16
8
16
0
0
8
8
8
0
0
0
0
0
0
0
0
17
17
17
17
3
8
8
8
32
16
32
32
16
4
4
1
1
8
8
4
4
4
16
1
1
16
0
16
1
0
8
8
8
8
0
16
0
8
8
8
0
0
0
0
0
0
0
4
24
0
8
8
16
0
0
0
0
0
0
0
16
16
16
16
8
0
0
1
16
8
0
8
8
8
8
0
0
0
8
0
8
8
16
16
0
24
28
0
0
40
4
4
8
0
0
0
16
8
24
24
0
0
0
0
0
0
0
0
0
0
24
8
8
16
4
4
4
20
0
0
3
0
19
32
32
22
22
22
22
22
1
8
8
1
1
1
1
8
8
8
8
16
16
16
8
8
8
8
0
11
27
27
27
9
1
1
16
32
0
25
25
1
1
0
8
0
8
16
16
16
9
9
9
2
16
8
0
0
8
24
20
0
0
1
16
8
8
8
16
8
8
8
8
8
1
1
0
32
4
4
4
8
8
8
0
2
41
24
0
40
8
8
0
0
8
8
8
0
2
0
0
0
0
0
0
58
32
32
8
8
4
4
4
32
4
4
4
8
8
24
8
4
0
0
0
0
0
0
2
8
8
0
0
0
0
32
8
8
16
16
4
16
16
16
1
1
8
16
8
16
8
4
8
0
0
0
4
0
0
10
0
16
16
16
1
1
1
0
0
0
0
8
0
56
1
8
8
2
16
8
8
1
0
8
0
0
0
12
0
0
2
1
0
8
16
16
16
8
16
16
16
16
0
16
16
4
29
26
10
10
2
2
2
2
2
2
8
2
8
8
8
8
0
16
8
8
1
8
8
8
8
0
4
0
0
0
0
0
16
16
8
8
6
8
8
8
32
4
4
4
16
16
1
0
8
8
0
2
2
2
0
0
16
0
0
0
0
0
0
0
1
8
8
8
8
8
8
8
0
0
0
0
0
16
16
16
0
0
8
0
16
0
16
1
1
16
16
16
0
8
8
8
8
8
4
16
16
8
6
20
28
16
16
16
16
8
8
8
16
16
16
16
16
8
8
0
8
8
36
16
16
8
8
8
0
8
0
12
24
8
16
4
4
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
26
8
8
0
0
0
0
8
0
0
8
4
4
8
4
4
0
8
8
8
0
0
0
0
5
0
4
16
8
8
26
1
0
4
4
0
2
0
0
16
16
8
8
2
0
0
4
20
8
28
28
28
0
0
8
0
0
0
0
0
0
19
0
0
8
0
0
8
8
24
2
0
0
0
0
0
0
0
16
0
0
4
4
20
2
2
2
8
8
8
0
0
0
0
16
16
5
0
0
0
0
0
8
16
2
16
8
0
0
0
0
16
0
1
8
8
8
0
16
16
0
0
4
16
16
16
0
16
16
19
0
0
8
25
25
1
1
0
8
0
17
16
0
16
4
0
0
8
8
0
0
56
0
0
0
2
0
0
8
6
0
4
16
16
0
0
0
35
0
0
16
16
17
0
16
32
32
28
0
0
0
0
0
0
0
0
0
0
0
0
8
8
16
0
0
0
0
0
0
8
8
0
0
0
0
0
0
2
18
0
0
0
0
0
0
0
0
16
16
16
0
8
0
0
17
1
17
8
8
16
1
0
0
0
0
0
16
16
16
16
16
1
0
0
0
0
0
0
4
0
2
2
2
0
0
16
8
8
0
0
0
0
0
0
0
1
16
0
0
0
0
8
0
0
8
0
0
0
0
0
8
0
4
8
8
0
0
4
4
0
0
0
0
8
4
0
0
0
0
32
32
40
8
0
0
0
0
0
0
0
0
2
2
2
2
32
32
0
19
0
0
4
4
16
0
0
0
0
0
16
8
8
8
16
16
0
0
0
0
0
0
0
0
8
0
0
4
4
24
4
8
8
0
4
4
4
4
2
2
0
8
0
9
9
9
0
0
8
16
0
0
0
8
0
16
16
0
0
0
8
8
8
2
0
0
0
0
16
16
16
16
0
8
17
17
0
0
0
0
0
22
0
16
0
0
0
0
1
4
24
0
0
0
0
0
0
0
0
8
8
16
0
0
8
0
8
8
0
0
0
1
1
24
26
8
0
16
0
0
0
0
0
0
8
24
16
0
0
2
0
16
0
0
0
49
49
8
0
0
16
0
16
16
16
16
16
16
8
0
0
16
0
0
0
8
0
0
4
0
0
40
16
16
8
8
18
0
16
8
16
16
0
16
0
24
24
24
8
0
8
0
8
8
8
0
0
0
0
1
0
16
16
0
20
0
0
1
0
8
8
33
0
0
8
8
12
12
12
12
12
4
8
0
0
0
0
16
4
0
8
4
4
4
4
4
4
0
0
0
0
0
8
8
8
16
16
0
0
0
0
0
0
0
0
0
0
0
16
6
8
0
0
16
16
16
8
2
36
0
1
8
0
4
8
8
0
0
0
12
0
0
16
16
16
16
0
0
16
16
0
1
2
2
0
12
4
16
16
0
0
0
0
20
0
0
0
0
37
2
9
8
8
0
0
0
0
0
0
0
1
16
16
0
0
16
16
0
8
8
8
8
8
8
0
4
8
0
0
16
0
0
0
0
0
8
16
0
0
0
1
0
0
0
4
0
0
0
0
0
0
0
8
8
0
0
40
0
0
0
0
8
0
9
0
0
0
0
0
0
8
0
16
16
0
0
0
0
8
0
8
1
9
8
4
4
0
16
16
24
4
0
8
0
16
16
0
0
0
0
32
8
2
8
0
1
1
0
8
8
6
16
0
0
0
0
0
0
0
0
0
24
24
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
16
2
0
0
1
1
2
0
32
32
0
0
0
23
0
0
1
1
1
26
0
8
0
0
0
0
16
0
8
40
8
0
0
16
0
0
32
4
4
0
0
8
8
16
16
4
0
10
0
8
8
17
0
0
16
8
8
8
0
0
16
0
8
0
8
8
0
8
8
0
0
0
1
0
12
24
16
8
17
0
0
0
0
24
0
0
20
16
0
0
8
8
8
8
8
8
8
0
0
0
8
0
0
0
8
0
0
8
8
8
8
0
0
0
0
4
4
1
0
0
0
16
0
0
18
18
0
0
20
20
0
0
2
18
8
1
1
1
0
0
16
16
4
0
0
0
0
9
63
0
1
0
16
4
4
4
4
5
16
8
0
2
8
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
2
0
2
4
4
4
0
16
16
16
36
0
0
0
0
8
0
4
8
8
0
0
8
8
8
0
0
0
0
0
17
0
2
2
0
0
0
4
18
4
0
0
2
0
0
2
8
8
8
8
8
16
16
16
8
8
8
24
0
0
0
0
0
8
8
8
0
8
8
0
0
0
0
0
0
0
4
4
0
0
8
4
0
8
0
8
0
2
1
0
0
8
0
0
0
8
8
4
6
8
8
8
4
9
9
32
16
16
16
0
0
0
0
16
0
0
0
4
24
24
2
0
0
0
0
0
0
0
0
16
16
0
25
25
25
0
0
0
4
14
0
8
20
8
0
0
16
0
0
0
0
0
0
8
8
2
0
8
8
0
8
8
8
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
16
0
6
0
0
0
16
16
0
0
16
16
0
0
0
6
16
32
0
8
0
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
0
35
0
0
0
8
0
0
0
0
0
0
8
16
0
8
8
10
10
24
0
2
2
2
8
26
16
24
0
0
0
0
8
0
0
6
0
0
32
0
16
1
0
0
0
2
2
1
16
0
0
0
0
8
18
8
8
8
8
8
0
1
1
1
1
0
0
20
0
16
16
4
0
8
49
49
8
0
0
0
8
8
0
1
1
8
0
0
0
0
16
16
0
0
29
0
1
1
1
1
0
4
4
0
0
0
4
0
0
0
24
24
24
0
0
0
0
0
0
8
16
8
0
0
12
17
16
16
5
12
1
0
0
0
0
2
2
2
1
0
0
0
0
8
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
16
0
9
1
0
0
8
0
4
4
0
0
0
23
8
16
8
8
16
2
8
0
0
4
16
16
16
16
0
0
18
16
16
0
8
0
0
0
0
8
8
8
0
6
6
6
0
8
0
0
0
0
0
0
0
0
0
0
0
8
16
16
16
16
0
0
0
0
0
17
18
0
42
0
0
0
0
0
32
0
0
0
0
1
16
1
2
2
16
26
24
24
0
1
0
0
8
0
8
0
0
0
0
16
0
0
9
16
0
0
8
8
0
16
16
20
8
4
8
0
8
8
8
0
4
0
0
16
4
0
2
1
0
0
4
4
4
28
0
0
0
0
0
0
8
0
0
26
8
0
0
0
36
4
8
0
8
0
0
0
8
0
8
0
0
0
0
0
0
0
0
1
0
0
0
0
8
24
0
0
0
0
0
0
8
0
24
16
8
0
0
0
8
0
16
16
16
16
0
16
0
0
0
0
8
0
0
8
4
8
0
0
0
0
8
20
32
0
8
0
0
0
0
0
0
16
4
4
32
0
10
32
32
0
0
16
16
8
8
0
8
0
24
0
2
2
2
40
1
1
0
0
1
0
0
0
8
8
8
0
0
0
0
16
16
16
32
20
20
32
0
0
8
0
0
0
8
0
1
8
8
8
16
1
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
0
16
8
8
8
0
0
12
8
0
0
0
0
16
16
24
0
0
0
2
0
4
0
0
0
29
0
8
0
0
0
0
0
1
0
0
0
0
0
0
16
0
0
0
0
36
36
0
16
0
0
32
0
0
0
0
8
8
9
9
16
0
2
2
2
10
1
1
1
0
0
0
20
16
0
0
8
16
8
4
0
0
16
16
16
16
16
16
0
11
8
8
8
8
8
8
4
4
2
0
0
0
16
8
8
0
0
0
0
16
4
8
8
8
8
0
16
0
0
0
0
10
0
32
24
0
1
16
0
4
0
8
8
0
0
16
24
0
2
2
2
16
16
0
16
16
24
0
0
4
8
8
8
16
32
32
16
0
0
0
0
16
8
8
8
8
0
0
0
10
20
0
0
0
0
0
0
8
0
0
0
0
16
16
16
0
0
0
4
16
0
0
0
0
8
8
8
16
0
16
0
16
0
16
0
8
0
8
8
0
0
0
0
0
16
0
0
8
0
0
0
0
0
0
16
16
16
0
0
4
0
0
0
4
8
16
6
0
0
0
16
0
0
8
0
16
16
4
0
0
0
0
0
4
16
0
12
8
24
0
8
8
0
29
8
36
0
0
0
0
0
4
8
8
16
4
4
0
0
8
0
0
0
16
20
16
8
8
8
5
1
8
8
2
0
0
0
0
0
0
16
4
4
4
0
0
1
1
0
0
0
0
0
0
0
0
0
0
16
2
1
1
8
8
8
0
0
0
0
8
16
0
0
0
0
0
1
0
16
4
4
4
24
0
8
8
0
0
0
0
0
0
0
0
0
16
16
16
16
4
4
16
16
0
8
8
32
3
32
0
0
0
16
8
0
0
4
4
0
8
8
8
8
1
1
18
18
2
2
17
8
0
0
16
0
0
0
0
0
2
2
0
0
0
0
0
0
0
16
16
1
0
8
0
8
8
8
2
2
2
8
8
0
1
8
8
8
2
0
0
0
16
16
16
0
0
0
16
4
4
8
0
16
16
16
16
0
16
8
8
1
16
0
0
0
0
0
0
1
1
0
0
2
2
1
0
0
0
4
0
0
0
8
0
16
0
0
0
0
0
0
0
0
16
0
0
0
0
16
8
16
16
16
0
8
8
8
0
8
0
0
0
0
0
0
20
4
8
8
0
0
0
1
0
0
0
0
6
0
6
0
8
18
0
0
0
0
2
2
0
8
8
8
8
0
16
0
2
2
2
1
0
0
8
16
16
16
16
2
2
0
12
8
8
8
0
16
16
16
8
8
8
0
16
8
8
8
16
16
0
24
24
0
0
0
16
8
8
0
16
0
4
8
8
16
0
0
8
0
4
4
0
2
0
0
0
2
4
8
0
0
41
0
16
0
0
8
0
0
0
0
0
24
16
0
0
4
16
16
16
0
0
4
8
4
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
8
1
8
0
0
8
8
8
0
12
12
0
0
0
6
0
0
0
0
41
0
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
0
16
8
0
0
0
0
0
0
0
0
8
16
0
0
0
0
16
16
0
0
16
20
4
0
0
0
8
16
8
0
0
0
8
8
8
6
0
0
0
0
8
8
12
1
8
0
8
0
0
0
0
16
16
26
27
16
16
16
0
16
0
16
16
0
0
20
16
16
4
8
0
8
0
0
0
16
16
16
0
2
4
0
8
0
0
0
0
0
0
4
0
0
0
0
0
16
16
0
0
0
0
16
0
0
0
0
24
8
0
0
13
3
3
3
8
8
0
8
8
16
0
0
0
32
9
16
8
1
1
1
1
0
0
0
0
0
16
0
20
0
0
8
16
8
8
8
8
0
0
16
0
16
8
8
8
0
4
4
16
4
0
0
0
0
0
0
8
0
8
8
8
0
8
4
8
0
0
0
0
8
0
0
0
0
8
0
4
0
8
8
0
0
2
8
8
8
8
0
0
16
16
40
40
0
8
8
0
8
0
0
0
0
16
16
0
0
0
0
4
0
0
0
0
0
0
0
0
0
8
8
4
4
0
0
8
8
8
8
0
0
0
0
0
16
16
8
8
4
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
17
8
0
0
8
8
0
0
16
0
0
0
8
0
8
8
16
0
1
1
8
24
0
4
0
16
2
0
0
4
0
0
0
0
32
32
8
0
0
4
20
2
16
16
0
4
0
0
0
32
32
0
8
8
8
8
8
8
0
0
16
4
8
8
0
8
4
16
16
16
0
0
0
0
0
0
21
0
0
8
0
0
16
4
24
8
8
8
16
2
0
0
0
12
24
16
17
1
1
1
0
24
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
16
2
0
0
0
16
16
16
16
8
0
0
8
8
8
0
0
0
0
0
0
0
4
4
8
0
0
0
0
0
0
0
0
9
9
0
0
4
2
2
0
0
0
0
0
0
8
8
4
4
8
0
0
0
8
0
8
8
0
0
8
16
4
0
8
8
0
0
0
8
0
0
0
0
8
0
8
0
0
0
0
0
0
0
0
0
8
8
32
32
0
0
8
8
0
4
4
12
32
32
4
0
16
48
8
0
16
16
0
8
8
16
8
8
0
8
16
16
0
0
8
8
4
8
0
8
0
0
0
0
0
8
8
0
4
8
16
4
0
8
16
0
8
8
0
0
0
0
16
24
0
16
20
54
16
16
38
0
0
0
8
0
0
0
0
16
16
8
8
8
8
0
16
0
0
0
8
0
0
0
0
0
19
0
8
0
8
16
0
0
0
4
4
4
4
4
16
16
0
16
16
16
16
8
8
8
0
12
0
0
11
8
0
0
4
4
4
0
1
1
1
8
1
0
2
2
0
16
0
0
2
2
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
8
0
0
16
0
16
4
8
8
8
0
0
0
0
0
8
0
0
0
16
16
8
0
0
16
16
10
10
8
32
1
1
1
32
32
0
0
0
16
16
32
16
61
8
8
8
0
0
18
2
24
8
0
0
0
8
8
8
0
0
8
8
8
0
0
0
2
2
2
8
0
0
8
0
42
0
8
0
0
0
4
4
8
8
8
8
8
10
10
3
3
0
16
0
0
0
0
0
16
2
2
0
0
16
24
16
8
8
0
0
24
24
24
8
8
8
8
2
0
0
1
0
8
0
4
4
0
0
0
0
0
20
0
0
0
0
0
0
16
16
16
0
0
0
8
26
0
16
0
16
20
2
8
0
0
1
1
12
8
0
0
0
0
4
4
8
8
8
8
16
16
8
8
16
8
12
0
0
24
0
8
8
24
0
8
0
0
0
8
16
2
2
16
8
8
0
0
8
8
8
8
0
1
1
4
4
8
2
1
20
2
4
2
2
16
1
8
8
16
2
2
2
2
1
1
0
0
0
0
16
1
16
8
8
8
8
8
8
8
16
16
0
0
4
4
0
8
0
8
8
16
0
0
24
8
4
6
0
0
0
0
0
4
4
0
0
0
0
0
4
4
1
0
0
0
0
4
4
4
4
4
4
4
0
0
0
8
0
0
8
4
0
0
8
0
4
4
0
0
0
8
0
16
18
16
16
8
0
0
0
8
8
24
0
16
0
0
0
0
8
0
2
4
4
4
0
0
18
1
0
0
8
4
0
0
0
5
5
0
1
1
0
0
0
1
16
16
0
54
1
1
0
0
0
0
8
0
0
0
0
0
0
8
16
8
18
18
0
16
16
16
0
8
8
8
0
0
1
0
0
0
16
16
2
16
16
16
16
4
4
4
8
8
8
0
0
32
2
8
8
20
20
20
16
16
20
0
5
8
8
2
16
16
16
16
16
8
8
0
0
4
8
0
0
4
0
0
1
1
1
32
8
0
1
4
4
18
18
8
8
16
16
16
0
0
0
16
8
8
8
0
0
8
0
0
1
0
16
16
0
2
4
32
32
32
32
16
8
0
16
0
0
0
0
8
0
0
0
4
0
0
0
0
8
4
4
0
0
0
0
0
0
0
0
0
0
8
4
1
0
0
20
0
0
0
0
0
0
0
8
8
8
0
0
16
16
24
24
24
24
8
16
16
8
0
0
2
2
4
8
16
16
16
12
12
0
0
16
16
8
0
8
8
16
16
16
16
16
3
1
0
16
0
4
1
1
1
48
0
0
0
0
8
8
8
4
4
20
16
4
0
8
8
16
16
0
34
32
0
32
16
0
0
0
0
0
0
8
0
8
8
16
0
17
1
16
2
16
8
8
8
8
10
8
0
0
8
8
0
8
0
0
8
8
9
8
8
1
16
0
0
3
16
16
8
0
8
32
32
8
0
0
8
0
0
8
8
17
0
0
0
0
9
20
4
0
0
4
0
8
0
0
0
0
0
0
0
0
8
8
8
8
8
8
16
16
16
16
4
4
16
16
0
8
8
10
10
10
0
32
0
17
18
2
16
8
8
0
2
0
0
0
24
16
24
8
0
8
0
0
0
8
8
1
1
1
0
0
0
0
9
16
9
8
0
52
32
0
0
0
0
16
16
0
0
16
1
1
0
0
0
8
8
0
0
0
48
0
0
0
0
8
8
1
0
0
0
0
0
0
0
0
0
0
8
16
0
8
1
18
8
1
2
16
16
0
0
0
0
0
9
9
9
8
8
16
0
16
8
8
8
0
25
25
16
8
0
4
2
8
8
16
16
16
8
8
16
16
0
16
0
0
0
0
0
0
0
0
0
2
2
16
20
0
0
32
0
0
8
8
0
0
8
8
8
8
1
1
1
1
0
0
0
0
0
0
0
1
8
8
0
0
8
8
0
0
22
8
0
0
0
0
4
4
16
8
0
0
16
16
0
0
8
8
2
3
3
0
4
4
0
0
0
16
0
0
8
8
12
8
1
4
8
0
8
1
24
24
8
16
16
20
0
0
0
8
0
0
2
2
8
0
0
30
16
16
0
0
2
2
0
0
16
48
8
8
5
32
2
0
0
0
4
6
0
8
4
8
8
8
8
8
8
16
16
0
16
16
0
8
8
8
0
0
0
1
1
0
0
0
16
0
0
0
0
0
2
8
0
4
8
8
13
16
16
0
16
28
28
0
8
0
16
0
0
8
8
8
8
8
0
0
0
0
1
16
8
8
8
16
9
9
0
0
2
16
16
16
0
8
2
8
4
4
0
4
0
0
0
8
4
18
4
4
0
16
16
16
16
0
0
8
8
8
8
8
16
16
8
8
8
8
0
0
0
8
0
0
0
0
0
0
1
16
8
32
32
32
1
1
0
8
0
0
8
0
0
8
8
8
8
8
0
16
8
0
0
0
0
0
0
0
0
19
16
8
0
0
8
0
8
0
0
16
1
1
32
9
1
16
8
8
8
16
0
16
0
0
16
16
0
8
12
4
4
4
8
0
16
0
0
0
0
0
0
0
8
8
8
0
0
0
2
2
2
8
0
0
4
4
8
0
0
8
1
24
8
8
16
16
16
0
32
24
16
0
0
0
0
8
1
8
8
8
0
8
8
8
8
24
8
2
2
8
4
4
1
8
0
0
0
0
16
16
8
8
8
24
24
24
6
0
0
24
2
2
2
8
1
0
0
8
8
8
0
0
4
8
0
4
4
4
12
12
8
24
24
24
16
32
16
8
16
10
10
15
8
8
24
2
8
8
8
8
8
8
0
0
4
4
0
34
34
0
8
0
0
3
0
8
8
8
8
8
8
8
2
0
0
0
0
0
0
0
0
0
2
0
16
0
8
8
0
0
16
0
0
4
1
0
0
0
8
8
52
52
32
8
0
0
16
2
8
8
22
22
22
2
8
8
0
8
0
0
8
8
0
8
8
8
0
0
8
8
8
8
8
8
8
8
0
16
8
8
12
12
2
2
16
16
4
0
16
0
0
0
1
24
24
24
24
24
0
4
4
4
0
32
8
0
0
44
0
12
16
8
8
0
0
0
0
8
8
0
16
0
16
16
16
0
10
8
8
8
8
0
0
0
0
0
0
0
8
0
0
16
8
8
0
0
0
0
0
0
28
28
4
16
0
0
0
1
1
0
0
16
0
8
8
8
8
16
9
16
8
16
8
0
0
0
0
32
40
32
8
8
8
8
0
8
0
0
0
24
0
6
6
0
1
40
8
8
8
8
20
0
16
0
0
0
18
4
4
1
16
24
24
0
1
4
8
12
12
12
8
0
1
1
4
2
2
0
16
16
16
16
16
4
4
8
0
1
1
1
0
0
0
0
0
24
0
16
2
8
0
0
8
8
8
1
24
24
24
8
17
4
4
0
36
32
16
16
16
16
16
16
16
16
16
0
16
16
16
0
0
8
1
8
16
16
0
0
26
0
0
0
16
16
0
0
16
16
16
8
16
16
0
9
8
0
8
1
0
0
0
0
0
9
9
16
0
16
16
16
8
0
0
0
0
8
0
16
0
1
0
0
0
0
8
0
8
2
0
0
0
0
5
8
8
32
8
0
0
16
0
0
8
9
8
16
0
0
0
16
0
2
8
8
8
17
8
0
8
8
10
0
8
1
1
1
16
8
32
32
32
32
0
0
0
0
8
8
8
0
0
0
2
3
3
8
8
0
0
0
0
0
4
0
0
24
0
8
8
0
0
0
16
16
0
4
12
0
0
16
8
1
8
0
8
0
0
28
28
16
16
16
1
0
0
8
1
1
24
8
8
4
4
4
4
0
0
16
8
8
8
16
16
0
8
4
0
0
8
0
0
0
0
0
0
0
8
0
0
0
0
0
0
9
0
0
0
8
8
0
12
12
16
4
0
0
0
0
0
0
0
0
0
0
8
8
4
16
16
8
8
8
8
0
12
0
0
8
27
8
0
0
0
0
18
0
24
16
8
0
0
0
0
0
0
0
0
8
8
8
8
2
0
0
0
16
16
16
0
0
0
0
0
0
0
0
8
9
8
22
0
0
8
16
8
8
8
28
8
8
8
0
0
0
16
0
0
32
32
0
4
8
1
1
8
0
0
4
4
0
0
2
8
4
4
24
8
8
8
0
8
8
0
8
0
4
4
0
0
0
0
8
1
0
8
1
1
0
8
2
0
16
16
16
16
0
0
0
0
40
16
4
12
12
12
0
0
4
8
8
8
8
8
8
0
0
0
8
8
0
2
16
0
25
25
0
0
0
0
0
1
1
8
0
0
0
4
0
16
4
4
8
0
0
8
8
0
16
0
8
0
0
0
0
0
16
16
16
8
2
16
8
8
0
0
0
0
8
17
8
8
16
16
8
0
8
0
0
24
24
0
4
8
0
16
16
16
6
2
8
8
8
0
1
8
0
0
1
8
8
8
8
8
4
4
0
0
0
0
0
0
0
0
0
0
2
2
2
16
0
0
0
24
16
16
17
17
1
16
20
20
20
20
20
0
0
8
0
16
16
16
0
16
4
0
8
8
8
8
16
9
9
8
8
8
12
12
12
12
0
0
0
8
0
0
4
6
6
0
8
0
16
16
16
16
0
16
16
0
10
10
4
8
8
8
8
8
8
4
4
4
4
4
4
0
0
0
8
0
33
48
48
40
17
2
0
16
16
8
8
8
8
0
16
8
8
8
8
0
8
4
8
0
8
8
1
8
0
0
8
16
0
8
8
0
0
16
0
16
16
0
0
0
8
8
8
0
0
0
16
16
1
16
16
16
16
16
16
0
8
8
8
8
8
0
8
8
32
32
0
0
0
0
2
0
0
0
0
0
8
16
26
1
1
8
0
8
0
0
8
16
16
0
0
0
8
1
0
0
0
8
10
0
16
16
4
8
0
0
0
8
5
5
5
8
8
8
8
8
0
0
0
0
4
4
8
0
24
24
16
16
24
8
0
0
0
8
0
0
1
0
0
4
4
4
32
0
8
8
8
0
0
8
0
0
0
0
8
4
12
2
8
8
16
16
16
16
0
1
0
0
4
16
1
1
4
0
0
0
13
0
0
8
8
8
0
0
0
0
25
8
4
8
3
0
8
36
8
0
0
8
8
0
16
16
16
17
0
8
8
8
8
32
0
0
0
0
0
16
16
0
1
1
4
2
0
16
2
4
4
4
11
26
26
4
16
8
0
0
16
0
0
0
0
8
0
0
0
54
4
4
4
1
0
0
0
0
2
2
28
20
4
1
1
28
0
8
16
24
8
8
0
16
16
0
2
2
8
8
0
0
0
8
8
4
4
0
0
0
0
2
0
8
8
8
8
8
0
24
24
8
16
16
8
8
8
8
8
8
8
8
8
8
0
0
32
8
0
0
0
8
8
16
8
8
8
8
8
8
8
0
8
8
0
0
24
24
16
1
1
0
16
4
6
6
6
4
12
12
0
0
8
14
26
16
24
24
0
8
0
16
16
8
0
0
0
0
0
0
0
2
1
8
16
0
0
0
0
4
0
8
2
8
8
1
46
8
0
16
0
0
0
4
4
4
4
0
8
8
8
9
4
1
1
1
32
0
0
8
8
16
0
0
0
0
2
0
0
8
16
8
16
16
16
0
8
8
8
8
0
0
8
8
0
0
0
24
8
0
8
4
0
1
0
0
0
0
4
4
4
0
8
8
16
16
8
8
18
8
8
0
0
16
8
0
1
1
4
4
4
8
8
16
0
17
0
0
0
16
16
0
4
18
18
18
8
16
16
8
8
8
8
8
8
8
0
1
1
8
8
8
8
0
1
1
1
24
8
0
16
8
8
1
1
1
0
0
8
8
0
8
0
0
8
2
10
0
0
16
9
0
12
8
16
28
1
1
0
0
8
16
19
4
4
9
9
0
0
8
8
8
8
8
8
0
8
0
0
8
0
8
12
0
8
3
3
4
4
2
16
8
2
2
4
8
8
8
8
8
0
8
8
24
24
8
8
8
8
0
0
0
0
0
24
8
0
4
0
16
16
2
8
0
1
24
0
0
0
8
17
8
34
0
1
39
1
0
0
4
4
4
4
8
8
0
24
0
8
16
16
0
0
20
24
0
8
0
8
8
8
8
24
8
0
16
0
8
8
4
4
4
4
8
8
4
16
12
0
2
0
0
0
0
8
0
0
0
0
0
0
0
0
8
0
36
36
36
36
36
36
36
0
9
1
8
4
0
0
0
0
0
16
0
0
0
0
2
0
0
0
16
16
0
52
24
16
16
16
8
16
0
8
16
0
0
0
0
0
0
16
0
0
0
8
16
0
0
0
16
16
10
4
16
1
1
16
16
16
16
16
8
8
8
17
8
0
8
8
16
32
16
48
16
16
16
16
0
0
0
0
2
1
1
1
0
8
1
6
8
8
8
4
2
0
0
0
0
17
0
16
16
16
0
16
0
1
1
8
4
0
16
16
16
16
16
0
16
16
0
0
16
16
16
16
1
0
0
16
0
0
17
1
0
0
0
0
8
0
0
0
0
0
0
0
16
16
16
0
24
0
0
8
8
8
16
0
0
0
4
0
0
0
1
1
0
0
2
2
2
8
0
16
16
0
32
24
0
0
0
16
0
8
0
0
0
8
16
0
4
16
16
0
0
4
8
4
8
17
2
0
0
1
8
8
9
8
16
16
16
0
0
8
8
0
0
4
16
0
16
8
0
0
16
0
0
0
0
8
8
8
0
8
4
8
8
0
8
8
8
8
16
16
0
2
2
0
0
0
0
0
0
0
8
8
0
0
12
8
4
4
4
8
8
8
2
0
8
8
8
8
8
0
0
8
8
9
1
1
1
0
0
10
10
0
0
2
0
8
8
4
8
0
8
8
16
16
0
4
0
8
8
8
25
8
20
16
0
4
0
4
8
8
40
4
2
2
1
1
16
16
0
4
8
8
8
16
0
0
0
8
8
0
1
24
24
24
16
16
41
0
8
0
16
0
0
8
0
8
8
8
0
0
16
8
16
8
0
0
0
0
4
4
1
1
1
16
4
16
8
0
0
0
48
0
0
0
0
8
16
0
0
2
2
8
0
16
0
0
8
0
8
8
8
8
8
2
0
0
2
8
8
12
0
16
16
0
4
0
0
0
16
8
8
8
4
28
28
18
18
0
16
16
0
0
0
4
0
0
0
0
30
33
0
1
1
1
1
0
0
0
16
8
8
8
0
0
1
2
0
0
4
4
24
16
8
8
8
8
0
16
16
4
8
16
8
8
10
8
0
0
0
28
16
16
16
16
8
8
8
0
8
8
8
8
0
8
8
30
8
0
0
8
1
0
0
0
16
16
8
24
0
0
0
8
32
12
4
8
8
0
0
2
0
0
0
0
0
0
0
0
2
24
24
0
16
16
0
0
8
8
8
8
16
24
24
8
0
0
8
0
0
8
1
1
0
32
32
4
4
8
0
0
1
1
1
0
0
0
0
0
8
0
16
0
8
8
24
8
8
8
8
4
0
20
0
2
16
16
0
0
4
4
4
4
4
4
4
4
0
0
0
1
0
0
1
1
16
0
0
0
16
32
32
32
32
32
0
8
8
8
0
0
0
8
0
20
0
8
0
0
0
0
0
0
8
16
1
2
8
8
8
2
2
2
16
16
16
16
8
8
8
0
0
0
0
0
24
8
4
4
4
8
8
4
0
0
0
0
0
0
0
4
0
0
8
0
0
24
8
0
0
8
0
0
4
4
4
4
16
0
8
16
16
0
0
0
0
2
1
0
0
17
17
0
8
16
0
0
0
0
0
0
16
16
16
0
8
8
0
0
16
4
24
24
16
9
9
8
16
0
0
8
0
8
8
8
8
24
0
0
0
0
0
0
0
0
16
4
0
4
16
16
0
4
0
0
0
16
16
16
16
16
8
8
0
0
8
4
0
0
0
0
16
18
0
16
8
0
16
0
4
4
4
0
2
0
0
1
4
5
16
4
0
4
16
8
24
0
0
0
16
16
16
0
16
0
0
12
8
48
8
8
8
16
1
1
0
8
8
0
16
0
0
16
24
0
8
8
0
0
0
0
0
8
8
0
0
0
8
0
1
0
0
0
0
0
0
2
2
0
0
10
2
0
8
0
0
0
0
0
16
0
0
0
8
0
0
44
44
0
0
0
0
0
0
8
0
0
8
0
16
1
1
0
0
8
8
18
0
16
16
0
0
8
8
0
0
0
0
8
0
0
8
0
0
0
20
0
0
0
16
16
8
0
0
0
0
8
0
0
2
2
24
24
0
8
8
0
0
0
8
8
4
0
0
0
8
0
0
8
8
8
8
8
0
0
0
0
0
16
1
0
8
4
16
8
0
8
4
0
8
8
0
0
0
16
0
16
16
0
0
16
24
4
8
0
0
0
8
20
8
0
1
8
8
4
4
16
0
16
8
8
2
16
8
8
0
0
8
0
0
0
0
8
8
8
8
8
8
1
1
1
1
1
0
0
0
0
0
4
4
4
0
0
0
0
24
24
24
8
0
8
0
0
0
4
8
0
1
23
20
20
8
8
0
0
0
0
2
2
16
0
0
0
4
26
0
0
25
25
0
0
4
8
0
0
0
8
24
0
0
22
12
8
0
0
8
1
0
0
0
0
32
8
8
8
16
8
8
0
0
4
4
0
0
8
8
8
20
8
0
0
8
0
8
0
0
0
16
0
2
0
16
0
0
0
8
16
0
4
4
0
0
1
1
0
0
0
8
8
0
8
8
16
16
16
2
0
0
0
0
0
0
8
0
0
0
0
0
8
0
0
8
8
0
2
1
1
1
0
16
21
21
0
8
0
0
16
16
16
16
0
0
0
0
0
1
0
0
0
0
8
8
8
8
18
0
0
0
8
0
40
0
0
0
2
1
2
2
32
0
40
40
16
24
0
0
0
8
8
8
0
28
23
0
0
0
8
8
8
8
4
4
0
8
8
9
25
9
8
0
0
34
34
20
1
1
0
0
0
0
0
0
0
0
0
0
16
17
0
0
8
8
8
16
8
2
2
0
0
0
8
1
16
16
16
16
6
4
4
4
2
2
2
16
0
0
10
2
0
12
0
16
16
4
0
0
17
17
0
2
6
4
0
0
0
0
0
3
3
8
0
0
0
0
2
2
2
0
0
24
16
0
0
0
0
24
0
8
8
8
5
0
0
0
16
0
1
1
8
0
0
0
4
8
0
8
8
8
0
16
8
4
4
4
4
24
0
0
0
0
0
2
18
0
0
0
0
0
8
8
16
2
0
0
34
34
8
1
2
0
0
0
16
0
0
32
29
24
8
8
0
8
8
16
8
8
8
2
2
0
0
0
4
6
0
8
8
0
2
0
16
0
8
8
8
8
0
0
0
8
52
0
30
0
0
0
0
4
4
0
0
2
2
2
8
0
10
10
0
0
1
2
0
0
8
8
32
32
0
0
0
16
16
8
1
8
9
8
0
0
0
0
4
4
4
4
0
18
0
0
0
0
0
0
0
0
8
8
0
0
20
0
0
32
8
8
0
0
8
8
8
0
0
0
0
0
0
16
2
0
16
0
0
0
0
8
8
0
0
0
0
16
0
16
2
18
1
1
4
8
1
0
8
0
8
8
0
8
26
16
1
1
17
4
0
8
2
0
8
0
0
8
0
0
0
16
16
0
48
48
8
8
0
0
8
0
4
1
8
8
0
16
0
0
0
0
0
0
19
19
16
16
16
0
0
16
4
0
0
0
0
16
17
13
13
8
0
0
0
9
1
0
8
0
0
1
0
0
16
0
16
0
0
8
8
8
0
8
0
0
8
0
0
0
5
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
4
0
0
16
8
8
0
2
8
8
8
0
0
0
0
24
24
16
8
20
8
8
0
0
16
8
0
32
32
8
8
8
6
0
0
0
8
8
0
0
16
1
0
24
8
24
8
0
2
0
4
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
1
0
0
0
0
0
0
0
8
16
16
0
28
4
4
4
0
0
0
0
8
8
0
8
9
0
4
10
0
0
33
33
33
33
0
0
0
1
0
1
8
0
8
0
0
0
2
2
0
0
0
0
0
8
16
0
8
16
0
0
0
16
16
0
0
0
8
0
0
0
0
4
0
8
16
0
0
0
0
24
8
1
1
1
8
0
0
4
8
8
1
0
0
0
16
1
1
4
4
4
28
28
8
0
0
33
0
0
0
0
0
0
0
4
16
40
40
16
32
16
12
0
0
0
0
0
0
0
0
0
0
0
1
1
0
16
2
0
2
0
0
0
6
0
0
0
0
2
1
0
0
1
35
0
0
0
2
0
0
8
8
32
0
0
16
16
0
0
0
0
0
0
0
10
10
10
8
0
0
0
0
0
6
6
0
8
8
8
8
8
4
8
8
8
8
0
0
8
16
16
16
2
0
0
0
8
20
20
8
8
8
0
0
20
0
32
32
16
8
8
8
8
8
8
8
8
8
8
8
8
1
1
0
0
0
13
13
0
16
24
16
13
1
16
8
24
0
0
16
16
0
0
0
0
0
0
4
8
24
24
24
0
0
0
0
2
2
2
0
0
4
8
20
4
0
0
20
8
9
0
0
0
0
0
8
16
16
8
8
8
2
0
0
0
8
0
0
20
8
8
16
0
0
24
24
16
0
0
8
8
0
0
0
6
21
0
0
0
0
0
0
0
0
0
8
10
0
8
0
8
8
8
14
0
0
8
0
0
16
16
0
0
0
0
0
4
0
0
0
0
0
0
8
0
0
8
0
0
16
16
8
0
0
8
0
8
8
4
4
0
0
0
8
8
0
0
0
32
32
0
32
0
8
8
0
4
0
0
0
0
0
4
5
0
0
0
0
16
1
16
4
4
0
0
0
16
0
0
0
0
18
0
16
8
8
0
8
1
0
0
8
0
1
1
1
0
0
0
0
8
8
0
16
8
16
48
48
32
0
0
0
0
1
1
1
28
8
0
0
16
16
8
0
8
0
0
1
1
40
32
0
0
0
0
0
0
0
0
8
8
8
0
1
0
2
32
32
40
0
8
16
16
16
0
0
0
0
0
0
8
8
10
10
10
10
10
0
0
0
0
1
6
16
16
0
17
8
0
0
1
0
2
2
0
0
0
0
0
0
0
2
2
42
8
16
16
16
8
8
1
8
1
0
0
0
16
3
3
16
8
32
16
0
0
0
0
0
8
8
8
16
20
0
0
0
0
0
0
0
0
8
1
4
0
0
24
24
24
0
8
16
0
0
0
16
0
0
0
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
16
0
0
0
0
0
0
4
4
4
0
0
32
8
8
0
0
12
1
0
0
0
0
0
0
0
0
0
0
2
2
8
16
16
8
8
0
0
0
0
0
16
12
0
0
0
0
0
0
1
1
0
11
8
4
1
4
4
4
0
5
0
0
0
24
4
48
8
8
1
1
16
0
16
16
8
0
0
0
0
16
24
24
24
0
0
0
0
0
0
16
24
4
1
0
12
4
0
16
0
0
16
16
0
0
32
0
18
16
0
0
2
0
0
0
0
8
8
0
0
16
16
16
9
9
9
8
8
0
8
16
24
24
8
0
0
0
0
0
0
0
8
8
8
0
8
0
8
0
0
0
16
0
16
0
0
0
0
0
0
1
1
1
8
8
2
16
12
4
4
24
16
16
8
0
1
1
48
0
0
0
0
0
0
0
0
0
0
0
8
0
0
8
8
16
0
1
0
8
10
4
4
0
16
0
0
0
0
8
4
0
24
8
0
0
1
1
0
0
0
0
1
0
0
0
8
0
0
0
0
0
16
16
0
0
0
0
0
2
8
0
0
0
24
0
7
0
8
8
0
0
16
48
48
0
8
0
8
24
8
0
8
0
0
0
0
8
8
1
1
0
8
8
0
0
2
2
0
1
1
1
4
20
16
8
0
8
8
8
4
0
0
0
0
0
0
0
8
8
0
12
0
16
16
8
8
32
4
16
0
16
8
16
0
16
16
0
0
8
8
8
8
0
0
0
0
0
16
16
0
0
9
9
1
8
2
2
0
0
0
0
0
0
8
8
2
2
20
0
4
24
24
24
0
0
0
0
8
8
0
0
17
17
0
0
0
0
0
8
16
0
8
0
8
0
8
8
18
0
0
16
16
16
16
32
32
9
8
8
8
8
8
8
8
8
8
8
8
16
16
8
8
8
18
8
0
0
0
0
4
8
0
0
0
4
4
0
0
0
0
0
0
0
8
0
16
8
24
0
2
2
0
0
16
0
0
0
0
0
0
0
24
4
8
0
0
16
16
0
0
0
0
4
4
19
4
0
16
16
0
0
0
0
0
0
8
8
8
8
32
8
33
33
0
0
0
1
1
0
8
8
8
0
8
8
0
0
16
16
16
8
0
6
4
0
0
0
16
0
8
8
16
4
4
16
8
8
0
9
32
0
0
0
4
0
6
16
24
24
8
0
0
0
1
0
8
0
0
0
2
0
0
0
0
8
16
0
0
0
0
0
0
0
0
0
16
0
48
4
4
4
8
8
0
12
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
32
0
0
0
16
16
1
8
8
16
16
16
16
16
16
16
8
8
4
0
2
8
14
0
0
0
3
0
0
0
0
0
0
0
0
16
0
17
1
0
0
30
0
16
16
8
0
0
2
2
0
8
8
0
4
16
16
16
0
0
1
8
0
0
0
0
0
0
0
0
0
0
0
1
8
0
16
16
0
16
16
8
8
0
30
0
4
0
0
8
0
0
0
2
2
0
0
8
8
0
2
2
0
0
0
0
1
1
0
0
0
29
13
13
13
21
21
8
0
0
16
8
3
3
3
0
4
4
0
0
16
16
32
32
8
8
0
8
16
0
0
8
0
0
0
16
16
16
2
2
2
2
0
0
4
0
8
0
8
17
0
0
0
0
4
0
8
16
4
10
0
0
0
8
8
8
16
0
8
16
16
26
8
0
0
0
0
16
24
0
0
16
0
0
0
8
8
0
0
0
0
8
8
8
0
0
0
0
0
0
16
16
8
16
16
16
16
9
8
8
8
8
2
0
0
0
0
0
4
4
4
32
0
16
16
8
8
0
4
0
0
0
0
0
0
0
0
8
8
0
8
55
55
55
55
8
0
8
1
1
0
0
1
33
4
4
0
0
2
18
16
29
29
29
29
0
4
4
0
8
0
0
0
0
0
0
0
8
0
16
0
1
8
16
0
5
5
8
8
8
8
0
0
4
1
0
0
0
0
0
0
1
1
32
48
1
0
16
0
0
0
0
0
16
2
16
8
0
8
8
0
8
8
8
0
0
8
0
0
0
2
0
0
8
8
8
16
16
16
8
0
0
8
2
16
0
8
40
40
40
12
44
0
8
16
0
0
1
8
0
0
0
1
0
32
32
0
0
0
8
9
16
0
0
0
0
0
0
0
0
16
16
0
0
8
0
0
0
8
8
0
4
0
8
8
0
0
0
0
0
0
8
20
20
16
16
0
8
8
0
0
0
8
8
2
0
8
12
4
0
0
0
2
8
2
16
16
16
16
16
0
0
4
4
4
0
0
0
0
0
8
4
4
8
0
0
0
0
16
16
1
1
16
16
8
8
8
8
0
0
0
0
17
17
8
2
0
0
0
0
0
16
8
8
8
1
1
4
0
0
20
20
0
0
0
0
0
0
16
0
0
2
2
8
4
8
0
0
0
16
16
16
0
16
0
0
16
8
0
16
16
0
0
16
25
2
0
0
0
0
0
0
0
16
0
0
16
2
0
0
0
0
0
0
8
8
8
1
0
8
0
0
0
0
0
0
0
0
0
16
4
0
8
52
52
52
0
0
4
0
0
21
0
0
0
4
0
4
0
24
16
16
16
2
6
6
8
0
0
16
16
16
0
0
0
24
18
2
2
1
0
0
17
0
16
16
16
0
0
0
2
0
8
0
0
8
26
26
16
0
16
1
0
0
8
12
0
8
8
8
8
8
2
1
2
0
0
22
22
8
12
12
8
8
0
8
0
8
8
8
0
0
16
0
0
8
2
4
8
0
0
8
16
16
0
0
3
8
0
8
2
0
20
1
0
0
0
16
0
12
16
0
8
8
8
8
8
8
8
8
0
0
0
16
12
0
1
1
27
2
8
8
0
0
0
0
33
9
9
0
0
8
8
4
16
0
0
16
16
0
0
8
0
0
0
24
17
0
0
0
0
8
8
8
8
0
0
0
8
8
8
16
2
2
4
0
4
4
0
0
0
2
0
24
8
0
0
16
2
2
0
4
0
0
0
0
0
8
0
0
1
0
0
0
2
2
2
32
1
1
2
0
8
24
24
8
19
19
19
16
0
0
0
0
20
0
0
0
0
0
0
4
4
4
0
8
0
0
8
0
0
0
0
0
16
1
16
16
16
0
16
16
16
16
8
8
8
8
5
0
0
0
0
0
8
16
0
4
4
4
4
9
2
8
0
1
8
0
0
0
4
0
2
8
0
0
8
8
8
4
4
8
8
8
8
8
8
8
8
8
8
4
12
12
24
24
6
0
8
40
17
16
16
5
8
17
16
40
4
4
4
4
4
4
4
4
0
1
1
1
1
0
0
0
11
11
16
16
0
4
1
0
16
0
0
16
0
0
1
0
0
12
12
16
8
18
16
44
44
44
8
8
4
8
16
8
8
8
8
8
8
0
0
8
8
0
4
0
0
4
4
0
0
0
4
4
4
4
4
0
0
2
2
1
0
8
0
0
0
0
0
0
16
16
16
9
9
9
16
16
24
16
0
0
8
0
0
0
0
0
0
8
4
0
0
20
8
8
32
1
8
0
0
0
0
16
0
4
8
8
8
8
0
16
16
8
0
0
0
0
0
0
0
0
5
0
0
0
8
8
8
8
8
12
12
12
12
8
8
8
8
8
32
10
0
0
4
4
8
16
16
16
0
0
0
0
8
8
0
0
0
24
0
16
16
32
8
0
0
4
0
2
0
0
0
4
8
0
16
16
16
4
4
4
0
0
0
0
1
8
0
0
26
26
8
8
16
60
0
4
4
0
0
8
0
0
40
40
40
4
0
16
16
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
0
2
8
4
4
4
4
4
0
0
0
8
8
8
8
8
8
8
29
0
8
8
8
8
8
8
8
8
8
4
0
16
12
8
8
8
16
0
2
2
0
8
24
8
8
8
12
8
8
8
32
0
20
20
20
12
12
8
8
0
0
4
4
16
1
32
32
0
0
0
0
8
8
8
0
16
0
0
0
0
0
0
16
0
24
2
0
0
0
4
8
0
8
0
0
16
16
16
8
16
4
4
4
0
0
0
0
0
0
8
0
0
17
17
2
2
1
1
0
16
16
0
8
16
0
0
0
0
8
8
0
0
2
8
8
8
8
8
8
8
8
0
0
0
0
4
0
8
8
1
8
8
16
16
0
4
4
0
0
0
0
16
16
0
8
8
1
0
8
0
0
0
0
0
16
16
0
0
24
16
0
32
32
8
9
9
0
36
4
3
18
18
18
8
0
6
6
6
2
2
16
60
8
16
16
1
16
16
16
0
0
2
2
0
0
0
0
0
0
1
0
0
0
2
16
16
1
8
0
0
0
18
0
0
8
8
0
25
2
0
0
0
0
12
12
4
16
0
0
16
0
0
20
0
0
0
8
0
0
8
4
0
0
0
0
0
32
16
8
8
4
0
0
0
0
6
6
0
0
8
8
0
8
8
0
8
0
8
8
0
0
0
4
4
29
8
8
0
0
0
8
0
0
10
16
1
0
16
0
0
8
8
16
8
1
2
22
0
0
4
0
8
0
4
0
0
8
8
8
8
0
0
32
32
32
8
8
16
16
16
16
4
16
16
16
16
8
49
49
49
0
2
36
8
32
8
8
0
4
0
0
0
8
8
8
8
16
0
10
10
10
16
16
16
8
8
8
1
1
8
8
0
0
0
8
8
8
0
16
16
0
8
8
4
4
0
0
1
8
0
0
0
32
8
8
8
8
2
0
16
1
1
8
0
0
0
2
0
0
8
0
8
8
8
8
8
8
0
0
0
0
0
0
0
0
2
2
9
0
0
8
8
16
16
16
0
8
26
0
0
1
20
20
8
8
8
8
8
9
9
9
8
4
0
8
8
8
16
8
8
0
0
0
0
0
12
0
0
33
0
1
0
32
0
0
25
25
0
8
16
16
16
8
8
0
40
8
0
25
25
25
8
16
16
0
1
0
0
8
0
0
0
8
21
21
0
0
0
0
0
8
8
8
16
16
0
16
16
16
4
16
16
16
16
0
8
0
0
0
8
8
0
8
56
16
8
0
0
0
4
4
0
0
0
0
2
28
0
60
16
20
16
1
4
16
24
24
8
29
25
19
0
0
0
0
24
24
1
6
24
16
0
0
0
0
24
24
0
8
8
8
0
0
8
8
1
2
8
8
8
8
18
8
8
58
2
8
8
16
16
8
8
8
8
1
1
1
1
0
0
0
0
1
0
0
0
0
30
30
8
20
0
0
0
0
8
8
8
8
8
0
0
16
16
16
16
16
16
16
16
8
0
0
0
0
32
0
0
8
1
32
0
0
0
2
2
8
16
16
0
0
0
28
0
0
1
49
8
8
16
2
16
16
56
16
16
16
16
8
8
8
8
8
8
8
8
8
2
4
4
2
0
0
0
0
6
16
1
1
0
0
0
0
8
8
8
0
8
0
16
16
8
16
33
2
2
2
2
8
8
8
4
4
4
0
0
0
10
10
8
4
4
0
0
0
0
25
25
8
0
0
0
0
0
0
25
8
8
0
0
0
0
0
4
4
0
0
16
16
0
8
0
0
0
0
4
0
0
19
8
0
20
20
20
4
4
0
0
0
0
0
0
0
0
8
0
25
0
16
5
8
0
0
48
8
8
8
8
8
0
0
0
8
0
0
0
18
18
0
8
8
8
8
2
2
2
2
0
1
1
2
2
0
0
4
0
0
8
0
16
1
4
16
16
16
0
0
0
27
27
27
16
16
16
25
25
25
0
0
0
0
0
0
0
0
0
0
0
8
4
16
0
0
0
0
0
0
8
8
8
8
4
8
0
0
16
0
0
0
0
0
0
0
0
8
0
16
8
0
0
0
0
8
0
0
0
0
0
4
0
6
16
0
16
16
0
16
8
1
8
16
1
4
4
0
0
0
0
4
24
28
8
0
0
4
4
4
4
4
4
0
1
4
8
0
0
0
0
8
8
1
0
0
10
2
2
0
0
0
44
44
44
0
0
0
2
0
0
0
0
16
0
0
22
0
0
8
0
4
4
6
8
8
8
0
0
0
0
0
0
0
8
8
8
0
0
0
0
9
20
20
4
9
16
0
0
12
12
12
0
8
0
0
54
8
8
0
4
0
0
0
8
8
0
8
8
8
4
4
8
8
8
0
4
0
2
2
0
0
0
0
4
0
0
0
8
0
0
16
16
8
0
2
4
0
0
0
16
16
16
0
8
0
8
8
16
8
8
8
8
0
0
0
0
8
0
8
0
16
8
0
32
8
8
0
0
16
0
16
4
8
8
16
16
16
16
0
9
8
16
0
0
2
2
8
8
0
0
25
0
0
8
8
0
2
2
0
0
20
1
0
0
0
0
16
16
8
0
8
8
8
8
0
8
8
28
0
0
2
2
2
0
0
20
20
1
1
0
0
0
2
0
8
0
4
1
0
8
0
0
28
4
4
8
4
0
0
0
2
2
0
0
0
0
4
0
23
8
4
4
4
24
8
8
8
4
4
4
4
18
8
16
16
16
16
8
8
8
16
39
39
8
1
0
0
0
0
8
16
16
4
8
0
0
0
0
1
16
8
4
4
0
0
10
24
0
0
16
40
8
4
1
1
1
0
0
0
0
0
16
16
4
4
0
8
8
20
20
20
20
16
16
17
0
0
9
0
0
0
0
0
0
4
8
8
8
8
16
16
0
0
0
16
2
0
0
0
0
0
0
0
16
16
8
2
0
8
4
4
4
0
8
0
0
16
16
16
16
16
16
16
16
16
16
0
0
8
16
16
8
8
8
24
2
0
8
2
0
8
8
8
8
8
9
1
1
0
0
16
8
8
18
18
1
8
8
8
8
0
0
8
0
4
4
0
4
1
0
0
0
16
0
0
8
8
8
8
8
16
8
8
40
40
40
40
40
40
8
8
4
4
4
16
16
0
0
0
0
0
4
16
16
0
0
0
0
0
8
0
16
16
16
16
8
24
24
8
0
8
8
8
16
16
16
0
0
0
8
8
8
8
57
0
0
0
0
8
0
8
1
0
0
0
8
0
0
0
0
4
16
16
2
2
0
0
0
0
2
0
0
0
0
0
16
0
0
0
8
8
8
16
31
31
0
4
8
9
9
8
26
8
8
2
0
0
4
0
8
8
8
0
25
16
4
4
4
4
4
4
4
4
8
8
0
8
8
8
8
16
16
24
0
20
20
16
32
1
1
8
0
4
0
8
8
8
8
24
24
24
24
0
8
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
1
2
16
0
4
0
8
8
8
8
8
8
1
1
1
0
0
0
6
8
8
8
4
0
0
0
4
0
8
0
8
0
8
0
4
4
8
8
8
8
16
8
8
16
0
8
8
33
0
0
0
0
4
4
0
8
16
16
26
26
4
0
0
0
0
8
1
20
8
8
8
8
16
8
8
8
0
0
0
24
16
4
8
8
0
0
0
0
0
8
8
9
26
16
0
8
8
16
16
0
1
8
0
0
0
0
4
8
16
0
0
0
0
8
16
16
16
16
0
24
24
24
8
8
0
8
8
16
16
16
16
0
0
0
16
0
1
1
8
0
24
0
19
4
8
24
24
0
16
16
1
1
1
1
0
0
0
0
0
8
25
1
1
8
24
24
0
24
0
17
8
0
16
1
4
4
0
8
8
0
0
4
4
0
0
0
8
8
8
8
16
16
32
0
4
0
1
17
0
2
0
0
0
0
8
8
8
8
0
10
2
16
16
40
0
0
8
8
0
32
0
4
0
0
40
28
28
0
0
16
32
2
2
0
4
4
4
0
0
0
0
8
0
0
0
0
0
0
2
0
0
8
8
8
8
16
1
0
8
8
8
8
0
0
0
33
33
2
16
48
0
10
10
0
2
2
2
8
8
0
0
0
4
18
18
18
18
18
18
8
4
8
0
8
8
3
4
4
4
4
4
8
8
4
17
16
16
0
0
2
8
0
0
0
0
4
4
4
40
8
16
0
8
8
8
0
0
8
8
8
16
0
16
9
9
16
0
0
0
0
0
17
17
0
1
12
8
1
16
4
0
60
4
0
0
9
0
4
8
8
0
0
0
0
40
8
8
8
0
0
0
4
4
0
2
0
8
8
24
1
4
0
8
0
0
0
8
0
0
0
0
16
16
16
6
48
0
0
0
16
0
0
0
0
1
0
4
4
4
8
0
0
0
8
0
0
0
0
0
0
24
16
16
0
4
4
4
16
4
16
4
0
2
0
0
8
8
8
0
16
0
9
9
8
8
24
24
0
16
16
8
0
0
4
4
0
1
16
16
16
0
0
10
8
8
8
0
16
8
0
8
0
8
8
0
0
32
32
32
32
0
0
0
16
16
16
16
16
0
8
8
16
16
16
16
16
0
4
0
0
21
0
1
1
0
0
0
0
0
0
0
1
8
8
8
8
0
16
4
0
44
4
4
0
0
8
0
0
13
13
13
13
13
0
0
8
8
0
0
8
8
0
0
16
2
0
8
8
8
0
1
1
1
0
0
8
8
8
8
8
0
8
0
24
24
24
24
0
0
35
8
8
16
0
0
0
0
0
16
16
16
16
16
0
0
8
8
8
8
8
8
0
1
0
4
4
4
4
0
8
0
1
16
16
0
0
0
8
0
1
8
0
8
8
8
8
0
12
0
0
8
0
8
8
8
0
0
0
0
0
4
4
8
8
4
4
16
1
1
0
0
13
13
4
4
0
2
24
27
0
24
1
0
1
8
0
0
16
4
0
0
8
8
8
8
8
0
8
8
16
24
8
0
30
30
32
0
0
1
16
16
16
59
0
36
16
16
0
0
0
0
0
10
6
8
0
2
2
2
2
8
8
0
25
2
8
0
2
2
0
8
0
0
0
16
16
0
8
4
16
16
0
0
0
0
0
0
0
8
8
8
8
8
0
0
0
8
8
16
16
27
27
0
0
0
16
16
16
8
8
8
0
8
0
0
0
0
0
24
4
3
0
0
0
16
0
0
18
8
8
0
8
0
0
4
4
0
16
0
0
8
8
8
8
0
0
8
0
0
24
34
8
0
0
0
8
8
8
8
0
0
16
0
0
0
0
8
1
4
4
8
8
8
0
0
8
0
8
0
0
4
8
8
49
0
2
0
0
0
8
0
0
0
8
0
8
0
0
0
8
0
48
8
8
8
0
25
4
4
0
8
0
0
2
5
20
20
20
8
0
8
0
4
8
0
8
0
0
13
12
8
4
0
16
18
8
2
48
0
0
0
16
0
0
0
8
8
8
8
8
8
16
8
0
8
16
0
8
53
2
0
8
8
0
0
0
0
8
8
8
8
18
16
0
16
2
2
4
4
0
0
8
8
0
0
16
0
0
1
4
4
0
0
0
12
25
0
24
8
2
2
2
0
0
9
9
8
8
4
4
1
1
1
0
1
0
0
3
3
16
0
4
8
0
0
0
0
20
10
0
0
0
10
0
0
0
0
0
0
0
0
8
2
8
4
4
4
0
0
0
8
8
1
2
2
0
8
8
0
0
0
0
0
0
8
8
0
8
16
9
0
32
16
0
0
0
0
16
16
32
32
32
32
0
1
8
0
0
0
16
0
0
39
16
16
32
0
0
8
8
16
16
16
0
0
0
0
16
16
0
0
8
1
1
0
8
8
8
8
1
1
3
16
1
24
0
16
16
16
16
16
16
0
8
8
8
16
0
0
24
0
1
1
1
0
18
18
16
8
8
8
16
0
0
2
16
16
16
0
0
0
16
8
8
4
0
0
8
2
0
16
8
8
8
5
0
4
4
4
0
0
0
0
0
8
0
0
12
18
2
2
1
32
32
0
2
12
0
0
0
8
8
8
8
8
8
0
0
0
0
0
0
0
0
0
18
0
0
0
41
41
0
0
16
8
8
8
8
8
8
0
0
0
0
0
0
0
0
0
18
4
0
0
0
0
0
0
0
0
0
0
0
8
2
16
16
0
16
8
16
16
8
8
8
0
8
0
0
0
24
0
0
0
16
16
16
8
8
8
8
8
16
16
8
8
0
0
16
8
12
16
20
20
8
8
8
20
16
16
16
0
0
0
8
8
4
8
8
8
8
0
0
0
6
4
8
0
20
20
20
0
0
0
0
0
8
8
8
8
0
50
0
0
8
4
8
0
0
0
0
0
4
4
8
0
0
8
8
8
8
1
1
8
0
8
16
0
16
0
8
12
16
0
0
16
0
0
4
4
4
1
0
8
8
8
0
8
16
16
36
36
16
0
0
8
0
0
0
4
16
26
8
16
1
1
8
8
28
0
0
4
0
0
0
0
0
0
8
16
16
4
60
8
8
8
8
2
2
2
0
20
20
0
8
8
8
8
8
8
8
0
0
16
8
8
8
8
4
4
4
4
4
4
8
4
0
0
0
0
0
0
0
1
0
0
4
16
8
8
0
0
0
0
0
0
8
8
0
0
0
16
16
16
8
8
8
8
0
1
8
8
0
0
24
16
0
0
1
0
4
4
8
0
4
8
16
4
8
8
0
0
0
0
2
2
2
4
4
0
0
16
16
0
0
0
37
24
24
8
0
4
40
0
1
6
0
7
7
7
7
8
8
8
0
0
8
8
0
0
16
16
32
0
4
0
0
0
0
0
0
0
0
0
0
0
40
0
8
0
8
25
0
0
0
0
0
16
0
0
8
8
0
8
0
0
32
0
0
16
0
0
0
1
1
8
25
8
8
4
0
1
8
8
9
9
16
16
8
8
1
8
1
8
0
0
0
0
24
24
8
8
8
8
16
0
25
16
0
0
8
8
8
0
1
1
0
16
8
20
0
8
8
8
8
8
32
0
0
4
0
0
0
0
8
20
1
18
18
18
32
36
0
0
0
17
8
0
0
0
0
0
0
0
0
0
0
10
8
8
8
0
0
4
4
0
4
0
10
30
16
16
0
0
0
4
4
0
0
0
24
16
8
8
8
8
0
0
8
8
8
8
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
32
0
8
0
0
0
0
0
0
0
8
8
8
0
16
8
8
8
0
1
1
0
50
0
0
0
0
0
16
4
0
32
16
0
0
1
0
0
0
0
16
9
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
16
8
0
8
16
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
8
8
0
8
0
20
20
0
0
0
4
16
0
0
0
0
0
0
13
0
0
0
0
0
0
0
62
18
18
0
8
16
16
16
0
0
0
0
0
4
4
4
4
0
0
0
0
0
8
8
0
0
8
0
0
0
0
0
16
0
4
8
8
8
4
4
0
0
0
0
0
0
0
2
0
8
0
24
36
0
8
8
8
8
8
8
0
16
16
32
0
0
0
0
0
0
0
4
4
0
0
0
0
0
0
0
0
0
0
4
0
0
0
8
0
0
0
0
0
0
2
0
0
8
8
0
2
20
0
0
0
0
0
0
0
0
0
0
0
16
1
0
0
16
0
0
19
0
0
34
0
0
0
16
20
0
0
0
0
0
0
16
8
0
0
0
0
0
0
0
4
4
0
0
0
8
8
8
0
0
1
0
0
0
21
0
0
8
0
16
16
8
8
0
0
0
0
0
16
0
8
0
0
0
0
0
0
16
0
0
0
0
0
8
0
9
9
9
16
0
0
0
0
0
16
0
1
0
0
8
8
8
0
0
0
0
0
8
8
0
0
8
8
8
8
8
8
1
4
4
0
0
0
8
0
0
0
0
16
0
0
0
0
0
0
0
24
0
8
0
8
0
1
0
16
16
32
0
0
0
1
2
9
9
0
1
0
0
1
0
4
0
0
0
0
4
4
0
28
0
16
0
0
0
16
0
1
1
8
0
0
0
0
1
0
16
16
0
0
0
0
4
4
4
0
2
1
0
0
2
0
8
0
0
0
16
20
20
20
0
0
0
8
8
8
8
0
0
8
0
16
8
8
16
16
0
0
8
0
0
0
0
0
0
37
8
8
16
16
16
0
2
0
0
0
4
4
0
1
16
0
0
0
0
0
8
4
0
0
0
0
8
8
0
20
0
0
0
0
0
0
0
0
8
8
8
0
24
0
0
0
0
0
0
0
0
0
48
16
16
16
16
16
0
0
8
0
4
0
0
0
16
16
0
0
0
0
0
0
0
9
9
8
0
8
16
16
4
0
0
16
16
0
0
0
0
16
8
8
16
2
2
0
0
8
8
8
8
8
8
8
0
16
16
8
1
1
16
1
8
2
1
1
0
0
0
0
0
4
0
16
16
0
0
0
0
0
8
8
0
0
0
0
0
9
0
0
0
8
8
0
4
1
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
28
8
8
0
4
0
0
0
4
16
1
1
1
8
8
0
0
0
0
0
8
0
32
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
8
0
0
0
0
0
0
0
0
16
16
16
16
0
0
0
16
16
0
0
0
2
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
25
25
24
24
0
0
0
32
32
0
0
0
0
0
0
16
0
0
0
0
0
0
8
0
0
8
0
0
0
16
1
8
24
24
8
8
8
24
0
0
0
0
0
0
0
0
0
0
8
16
0
0
17
0
0
0
2
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
16
3
0
0
0
0
0
16
4
0
0
0
8
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
4
0
5
0
8
0
0
1
32
0
0
0
0
0
0
0
2
8
0
0
16
0
0
1
0
0
0
0
0
14
0
0
0
57
57
0
0
0
16
16
0
0
16
16
16
0
0
0
0
0
0
17
17
0
0
0
8
8
0
4
4
0
0
0
0
0
0
0
0
0
0
0
0
12
0
0
0
0
0
8
4
0
0
0
22
22
0
0
8
0
0
0
0
2
2
2
0
0
0
12
2
0
2
2
0
0
0
0
1
0
28
0
16
2
4
4
0
0
0
0
8
0
4
18
0
0
8
0
0
0
8
8
8
0
30
0
8
8
8
0
16
0
0
8
4
0
8
16
16
0
4
0
0
8
4
0
8
0
0
8
0
0
0
0
0
0
0
8
8
24
24
0
16
16
16
0
8
8
1
1
1
8
16
0
0
24
0
26
0
0
0
0
0
0
0
0
8
8
0
48
0
0
0
1
4
4
4
4
0
0
2
2
2
0
32
8
8
0
1
4
4
16
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
17
0
8
0
0
0
0
0
0
1
16
16
16
16
0
0
0
16
4
0
0
4
0
0
0
0
0
28
16
0
0
0
8
2
2
8
8
8
8
0
8
0
12
12
0
0
1
0
0
0
0
0
11
0
0
21
0
0
0
0
0
0
0
4
4
0
8
8
8
8
0
0
2
2
0
0
0
0
0
10
10
0
1
0
1
0
2
2
0
8
8
8
16
16
16
0
8
0
0
16
16
16
17
0
0
0
8
16
16
16
9
0
17
17
0
0
0
0
17
17
17
17
8
8
0
0
0
24
0
8
8
16
1
0
16
16
16
0
0
0
0
0
16
8
16
0
0
16
0
0
0
2
0
0
0
0
0
0
0
0
32
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
12
12
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
9
0
0
8
8
0
0
0
0
0
0
4
0
0
0
8
0
24
24
16
16
16
0
40
0
0
8
0
0
0
4
0
8
8
0
24
22
0
8
8
0
0
16
60
60
60
16
16
16
16
0
0
8
0
0
0
20
16
8
0
0
0
0
0
0
0
0
0
0
0
0
16
8
0
4
1
1
24
24
24
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
16
0
0
0
0
0
0
1
1
0
8
8
0
32
0
0
0
2
0
0
0
4
0
0
0
8
20
0
0
8
8
0
0
0
24
4
4
4
8
0
0
8
0
0
0
16
8
0
0
0
0
8
8
0
0
4
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
8
0
16
0
0
8
0
0
0
0
0
8
16
1
0
20
20
1
0
8
0
8
8
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
1
1
2
0
0
0
0
8
8
8
8
8
8
8
8
8
0
0
1
0
0
0
0
8
16
0
8
8
0
0
8
0
16
0
0
0
0
0
0
0
0
16
8
0
2
0
8
8
26
16
1
1
4
4
4
0
2
0
0
4
0
16
16
0
0
0
8
4
4
0
0
0
16
0
0
8
0
8
0
0
8
2
0
0
0
0
0
0
8
8
0
16
16
16
0
0
8
0
0
0
0
0
4
0
0
0
0
0
1
0
0
16
0
0
8
8
0
0
0
0
0
0
0
12
0
0
0
0
12
2
0
1
0
0
0
0
0
2
20
0
0
1
16
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
8
0
8
0
0
0
0
0
16
8
8
0
0
0
0
8
9
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
24
0
0
8
0
4
16
16
16
16
16
16
0
0
0
1
0
0
8
8
8
8
8
8
8
8
8
0
8
8
0
1
1
0
0
17
4
0
16
16
0
0
8
0
8
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
0
0
8
8
8
0
0
0
1
1
8
8
8
33
33
33
0
0
0
0
0
8
17
0
8
0
0
16
8
8
16
16
0
0
2
2
2
0
0
0
16
16
0
0
4
0
0
0
0
4
0
8
8
8
8
2
24
4
4
16
0
16
4
8
8
0
0
0
0
0
18
0
8
28
0
0
28
16
0
16
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
24
0
0
8
8
0
0
21
8
0
0
20
0
0
32
24
24
43
0
0
0
0
2
16
8
8
0
0
0
0
0
28
28
24
0
8
3
0
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
25
0
0
0
32
0
0
16
0
18
18
0
0
0
19
19
19
4
0
0
4
4
4
0
1
1
16
0
0
0
0
16
0
3
3
16
0
0
0
0
8
0
0
0
0
0
2
16
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
44
44
0
0
14
0
0
0
0
0
0
0
0
0
0
0
0
0
0
32
0
0
0
16
28
8
8
0
16
0
0
0
1
0
0
0
0
0
0
0
0
0
32
0
1
18
0
0
4
0
0
0
0
8
8
0
8
16
16
0
8
8
8
32
9
0
0
2
2
1
0
8
0
0
0
0
0
8
0
6
8
0
0
0
0
8
8
8
16
0
0
0
0
8
8
8
0
28
0
0
16
24
4
0
8
8
0
8
8
0
0
8
8
17
16
8
8
16
16
0
0
8
0
0
0
0
0
0
0
16
0
9
9
0
12
12
12
12
0
16
16
0
0
8
8
8
8
32
16
16
16
16
0
0
0
16
0
0
32
8
8
0
0
0
0
0
4
4
4
4
0
0
8
0
0
1
8
0
0
8
1
1
8
0
0
8
0
0
0
0
16
0
0
0
0
0
0
9
1
8
42
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
8
8
4
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
16
24
0
0
0
0
8
0
0
20
0
0
0
0
0
0
0
0
6
6
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
8
8
32
32
8
8
8
8
8
16
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
8
0
0
10
0
0
0
0
0
8
8
8
0
8
8
0
0
0
0
0
0
0
0
16
0
0
0
0
0
8
0
0
0
0
0
6
6
0
0
0
8
0
6
0
0
0
0
8
0
1
1
1
8
0
0
0
0
0
0
0
0
0
4
4
6
0
0
0
0
0
0
0
0
0
0
25
25
25
25
0
0
0
4
8
8
1
0
4
0
0
16
8
4
0
0
0
0
0
0
8
8
7
0
0
1
4
0
0
0
0
0
0
0
4
0
8
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
18
0
16
16
0
0
0
0
8
16
0
0
0
0
0
0
0
0
0
4
24
16
0
0
0
24
24
0
0
0
0
8
0
4
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
18
0
8
8
0
0
16
16
16
0
0
0
0
0
16
16
0
0
21
4
14
16
2
0
0
0
0
0
16
0
0
0
0
0
0
4
4
0
0
0
2
0
8
0
0
2
2
2
0
0
0
8
1
1
0
8
8
0
0
0
0
18
0
0
16
16
0
0
0
0
8
0
0
0
20
20
0
1
1
1
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
8
8
8
0
0
0
0
24
50
0
8
8
8
0
0
16
4
0
0
8
8
8
8
8
0
0
16
16
16
0
0
0
0
0
0
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
10
16
0
0
20
0
0
2
0
2
2
2
8
0
0
0
0
0
8
8
4
4
4
4
0
16
0
0
0
0
24
0
17
0
0
0
0
0
0
0
4
8
0
0
16
16
16
0
0
8
0
2
2
2
0
0
0
0
0
0
4
4
0
0
0
0
4
4
32
1
24
0
0
0
16
16
0
9
0
0
0
16
0
0
0
0
0
0
8
0
0
0
8
8
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
16
16
2
2
0
8
1
0
0
0
24
57
57
0
0
0
0
0
0
0
0
0
0
0
0
0
52
0
8
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
8
16
0
0
0
0
0
0
2
16
24
0
33
0
0
0
8
0
0
0
32
0
0
0
0
0
0
0
2
0
0
8
0
0
0
16
0
8
8
8
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
38
38
8
8
8
8
0
0
0
8
8
0
0
8
0
0
2
13
13
0
0
2
0
0
0
0
0
0
16
16
0
0
0
36
4
0
0
4
4
4
4
0
16
0
32
0
0
2
0
0
8
8
0
0
0
8
17
17
16
0
0
0
16
16
16
0
0
0
0
0
0
0
0
0
0
8
8
16
0
0
4
0
0
0
0
0
0
0
6
0
16
16
50
0
0
0
0
0
0
0
0
0
0
0
4
8
61
61
8
0
8
0
0
0
4
8
20
16
0
0
0
0
0
0
0
0
4
0
0
0
0
0
16
16
0
0
0
0
8
8
8
24
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
8
8
8
0
16
0
0
0
0
0
10
2
16
16
16
16
16
0
0
0
8
0
0
0
0
8
0
0
16
8
0
8
0
0
0
0
16
2
0
0
0
0
0
0
0
8
8
8
0
0
0
16
16
0
20
4
2
0
16
0
0
0
16
16
0
0
16
4
0
0
0
0
8
8
24
16
16
0
0
0
4
0
8
0
8
8
0
16
16
2
0
0
0
0
0
0
6
6
0
0
0
24
24
24
16
0
0
0
0
0
0
0
0
0
0
2
2
0
0
0
0
8
0
20
20
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
16
0
0
8
0
0
1
0
0
0
0
8
8
0
2
0
1
0
2
16
1
0
0
0
4
4
8
8
0
0
0
24
0
0
0
0
0
8
8
0
16
10
10
0
4
0
0
8
0
0
4
4
0
0
0
2
0
1
8
8
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
8
0
16
0
0
0
0
14
14
4
0
0
17
0
25
16
16
25
8
8
0
0
8
0
16
1
0
0
0
0
4
1
0
8
8
57
0
0
0
16
0
1
0
0
0
0
0
0
1
0
0
0
0
16
16
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
8
0
0
4
4
8
1
1
0
0
16
0
4
24
0
0
0
0
0
0
0
0
0
0
24
0
4
4
0
0
5
0
0
0
0
0
0
0
0
1
1
16
4
0
0
0
16
16
0
0
0
16
16
0
0
0
0
0
0
0
16
2
2
0
0
0
0
0
0
8
8
4
2
0
2
0
0
0
0
0
0
0
8
4
8
0
25
16
16
1
1
1
1
1
16
0
16
0
0
0
0
0
0
6
16
0
0
0
0
8
0
0
0
0
0
0
0
0
0
32
0
16
16
0
0
0
0
0
0
8
8
0
4
0
0
0
8
8
0
0
0
4
25
25
0
0
0
8
8
4
4
0
0
4
0
4
8
16
0
0
0
0
0
0
24
24
24
0
0
16
16
0
0
2
2
0
0
0
0
0
0
0
0
0
2
16
0
0
8
8
16
1
0
0
0
0
16
0
0
0
16
0
0
40
40
0
2
2
1
0
0
8
8
24
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
6
18
0
8
4
4
0
9
9
18
16
0
16
16
0
0
0
0
0
8
0
0
0
0
0
0
8
0
0
0
0
28
16
8
2
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
24
0
0
0
0
20
0
16
0
16
16
16
16
16
0
0
0
16
0
0
0
8
0
0
0
8
0
0
0
0
0
10
0
0
0
0
1
1
0
16
16
0
0
8
0
0
16
16
0
8
8
8
0
25
0
0
0
0
0
0
0
0
8
8
8
4
0
0
1
0
0
0
0
0
18
8
0
0
0
0
0
0
0
0
4
4
0
0
0
0
0
0
4
0
2
0
2
2
8
0
24
0
0
0
0
0
0
0
0
0
0
0
16
8
8
8
8
8
0
0
8
0
0
0
4
8
0
0
0
0
0
0
8
0
0
36
8
0
0
0
0
0
0
0
0
0
0
32
32
4
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
16
0
8
0
8
8
0
32
0
0
0
8
0
0
0
0
0
16
12
2
2
2
2
0
16
16
16
0
0
0
0
0
0
5
0
4
0
24
0
32
0
0
0
2
0
0
8
0
8
8
8
8
0
40
0
0
0
0
24
16
0
0
1
8
8
2
0
0
0
0
0
0
0
4
16
16
8
0
0
24
16
12
8
8
28
0
2
2
0
0
17
8
0
0
16
0
1
1
1
8
8
8
0
8
8
8
8
0
0
0
0
0
0
0
0
0
1
2
32
32
32
1
0
9
16
16
0
8
8
8
8
8
16
0
8
1
0
1
8
8
8
9
9
0
8
8
8
8
0
0
8
8
0
16
16
8
4
0
16
8
8
40
40
40
8
8
1
0
0
8
8
8
8
0
8
0
16
8
16
0
0
0
4
0
0
8
0
4
4
8
0
0
0
0
24
0
20
16
4
0
32
32
32
32
16
0
0
8
8
8
8
8
8
8
8
2
12
16
8
8
0
0
0
0
4
8
8
8
2
0
0
0
1
4
0
8
8
4
16
20
4
16
0
8
0
0
8
8
8
8
8
18
0
16
32
8
0
32
32
0
0
8
24
0
16
4
4
4
32
1
33
24
16
16
8
1
1
1
16
16
8
0
1
1
1
1
0
0
0
1
16
20
8
8
2
16
4
0
2
16
8
8
8
56
16
16
16
16
0
1
8
8
8
8
0
49
49
49
0
0
8
8
0
0
0
0
0
0
20
20
20
16
8
32
32
32
8
0
0
0
8
8
4
1
16
0
16
32
0
0
0
0
0
0
0
0
0
0
16
16
0
0
8
8
0
8
13
13
17
8
8
8
8
1
1
1
1
0
0
32
32
8
0
24
8
8
0
0
0
16
8
8
8
8
1
1
18
0
57
1
8
8
1
1
1
0
0
0
16
16
16
8
8
0
24
0
0
0
0
0
0
16
16
8
16
16
0
18
4
16
16
8
0
0
8
8
32
8
8
8
32
32
0
4
20
20
20
20
8
16
16
16
0
3
8
8
24
1
8
8
0
0
16
16
2
2
0
0
8
32
8
8
32
32
32
16
16
0
0
8
8
8
16
16
0
0
0
0
0
0
16
0
2
2
2
16
8
8
0
0
1
1
16
8
8
2
2
0
8
8
8
1
8
0
0
0
16
4
4
8
0
16
8
1
8
8
8
8
8
12
8
2
2
0
0
0
16
1
1
4
4
8
8
0
8
8
8
8
8
1
1
1
0
0
4
4
4
16
8
8
8
8
8
8
1
4
4
4
4
4
4
2
9
0
8
8
4
32
8
8
16
16
0
0
16
0
16
16
0
8
8
8
8
8
0
0
0
2
16
16
16
8
8
8
2
2
2
2
0
0
0
0
16
16
16
16
16
2
2
10
2
2
11
11
0
1
8
0
0
0
0
1
1
8
8
8
20
8
24
16
20
16
16
16
16
8
8
8
0
16
16
2
8
0
0
11
8
16
16
1
0
8
8
0
0
0
0
8
8
0
32
32
16
16
0
0
16
16
16
16
0
0
2
1
8
33
2
1
11
11
11
27
16
16
8
8
8
8
8
0
0
8
12
0
0
24
17
16
8
16
8
8
8
8
8
8
24
0
8
8
16
8
20
16
0
0
0
8
8
8
16
1
8
16
16
16
1
1
1
8
8
8
16
8
16
18
8
16
16
16
0
16
16
16
6
6
8
8
0
0
8
16
0
19
4
26
40
16
0
1
1
1
0
16
16
0
2
2
2
0
0
0
0
0
1
1
1
1
2
0
0
1
0
8
2
0
24
16
4
4
4
0
0
8
0
9
16
32
8
0
4
4
20
20
0
16
8
0
0
0
1
1
1
0
2
2
8
0
4
4
8
8
8
20
8
8
8
8
16
0
0
4
4
4
4
0
8
0
0
8
8
8
32
0
4
8
0
4
0
8
8
0
0
0
0
16
8
0
0
0
8
8
8
8
0
2
16
0
8
24
8
4
4
4
4
2
2
0
0
0
8
16
16
16
8
16
48
48
16
16
0
0
0
0
0
0
1
1
1
1
1
4
6
16
16
16
32
0
0
9
0
0
0
0
8
0
1
1
1
16
16
16
0
0
0
0
8
0
1
1
2
0
0
0
16
16
8
8
8
0
0
0
0
32
16
16
16
25
1
0
2
6
16
16
8
1
16
0
0
0
16
8
16
0
0
0
8
0
0
0
0
0
0
16
16
1
1
1
1
1
1
1
1
16
8
16
4
4
17
8
8
8
0
1
32
0
0
48
4
2
2
16
0
16
16
16
16
16
0
0
8
8
8
0
0
0
0
0
16
0
0
0
0
8
8
8
8
0
0
0
0
0
10
0
0
0
2
4
16
16
0
16
16
8
24
8
8
8
0
0
4
16
8
0
0
0
0
0
0
0
0
8
8
0
0
16
16
16
16
16
16
8
8
8
8
9
8
8
0
0
0
32
32
8
1
0
24
8
8
8
0
0
0
4
4
0
0
0
0
0
0
0
8
8
0
16
37
0
1
1
16
16
16
16
16
16
16
16
16
16
16
8
8
16
16
16
8
8
0
0
1
2
1
1
52
52
52
52
0
0
8
8
1
8
0
0
16
0
2
2
1
4
8
0
0
0
0
8
8
16
16
6
6
2
2
2
0
8
32
32
1
32
12
8
8
8
17
16
16
16
16
16
16
6
12
12
2
0
0
4
0
0
0
4
1
0
0
8
8
8
8
8
6
6
0
0
0
4
36
0
0
0
19
16
2
2
2
2
8
0
0
0
0
8
8
8
8
8
0
8
8
0
0
0
0
24
0
8
8
8
0
0
16
1
1
1
0
0
32
32
0
2
0
0
0
1
1
1
1
2
16
8
8
8
8
8
8
1
8
0
0
4
4
8
1
0
8
24
24
0
0
24
24
0
0
16
16
16
17
16
16
17
24
16
0
1
1
0
8
0
16
16
1
1
0
0
0
0
0
0
0
32
0
8
0
0
16
16
16
2
8
8
8
1
8
0
16
0
0
0
0
0
0
16
16
16
0
8
8
8
8
8
8
0
0
4
16
16
16
4
4
4
4
8
0
8
8
8
8
3
3
0
8
0
1
1
1
1
16
16
16
16
16
10
4
0
0
0
0
4
5
0
8
8
0
0
16
16
0
8
8
8
18
16
16
16
16
16
0
8
0
0
0
8
16
0
0
0
0
12
4
2
0
0
0
0
0
8
0
18
18
16
24
24
0
8
0
1
1
0
48
0
0
0
0
4
0
16
16
2
0
0
0
4
8
8
8
0
0
0
4
4
4
16
1
17
8
24
0
2
8
8
8
0
0
0
4
0
16
16
1
8
2
0
0
0
0
16
16
24
24
8
0
0
0
9
8
0
0
0
2
2
0
0
8
16
16
16
53
0
16
16
16
16
16
16
0
16
16
16
16
8
8
0
8
8
8
1
0
16
0
4
4
2
0
4
8
8
16
8
16
16
16
16
8
8
4
4
4
0
0
8
8
0
8
8
8
8
4
4
1
1
1
4
1
16
1
16
16
3
11
8
1
0
8
8
8
8
8
1
1
0
4
4
4
8
8
0
8
8
0
49
49
49
49
49
49
49
12
4
8
1
0
40
0
2
0
0
28
0
12
0
0
0
0
0
0
0
0
2
16
0
8
8
1
1
1
0
8
8
8
0
0
0
0
0
0
16
16
16
16
16
16
16
16
16
0
16
16
8
16
1
0
20
0
16
16
16
0
0
16
0
0
0
0
0
0
0
0
8
8
8
0
8
0
17
17
17
17
0
0
33
1
4
26
32
0
8
8
1
1
0
4
0
8
16
16
8
8
8
1
4
4
0
16
1
1
8
28
28
8
8
16
8
16
16
0
0
0
0
8
0
0
8
0
4
4
4
46
8
8
0
2
6
2
0
32
0
16
16
0
8
8
4
0
0
16
2
33
33
0
16
16
0
40
4
20
4
0
0
0
1
1
1
0
0
16
16
16
0
0
0
0
0
48
52
32
8
0
0
16
0
0
0
4
4
8
0
8
8
8
8
8
8
8
0
30
8
4
0
0
0
0
0
0
0
8
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
4
4
8
0
4
8
8
16
8
6
8
4
16
16
16
9
0
0
0
0
4
0
24
0
4
4
8
0
8
8
8
8
8
8
8
24
8
16
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
18
18
0
0
0
0
8
8
8
8
8
16
16
16
20
0
0
2
0
0
0
24
24
0
8
2
0
0
16
16
16
16
16
0
0
0
0
16
16
0
16
17
8
2
2
16
24
4
16
0
0
16
16
4
0
0
8
8
8
0
0
0
0
0
0
0
8
8
0
16
16
8
8
8
8
8
16
16
16
16
16
16
16
16
16
0
0
0
0
16
4
0
1
1
16
8
8
8
8
8
4
4
4
4
4
4
2
2
0
8
8
16
16
16
16
0
8
8
8
8
0
4
8
8
8
24
3
2
2
1
2
8
8
0
0
16
16
16
16
1
10
10
10
8
8
2
2
2
0
0
48
16
8
0
0
0
0
0
0
1
1
1
1
1
1
8
0
16
8
8
16
8
0
16
8
8
8
8
16
2
2
16
16
16
16
8
0
0
0
0
8
8
0
60
4
4
4
0
0
0
0
8
8
12
0
0
0
6
8
1
1
8
32
16
16
2
2
1
1
0
0
0
9
16
16
8
8
0
4
0
11
0
4
16
16
2
2
8
8
0
13
0
0
0
0
1
1
8
8
1
40
16
16
0
8
0
8
24
4
0
0
16
1
0
0
21
16
16
17
40
32
32
32
0
0
40
16
16
16
2
24
16
0
0
0
0
0
0
0
16
8
1
8
1
1
1
16
1
0
8
24
8
8
8
8
16
16
8
4
4
16
1
0
0
8
0
0
0
0
0
20
0
0
0
0
17
16
4
0
8
0
16
16
8
16
16
0
2
2
8
0
0
0
1
1
1
1
1
1
0
0
0
0
0
0
0
4
4
8
8
8
1
1
0
0
0
0
0
4
16
12
12
16
20
0
16
8
4
4
4
0
16
0
4
4
4
16
16
16
0
1
1
0
0
8
0
0
0
0
8
1
1
0
8
0
8
16
16
16
16
8
8
0
0
0
0
0
2
0
0
0
0
24
8
8
8
8
0
0
0
0
2
8
8
0
0
1
1
1
16
0
8
0
8
8
0
0
0
0
0
0
0
0
0
0
16
16
16
0
0
0
0
8
8
1
1
1
0
8
8
8
10
8
8
8
8
8
8
8
8
8
24
24
0
16
16
17
8
8
17
0
0
1
0
0
0
1
1
8
0
0
0
0
8
8
1
1
8
8
0
4
4
4
4
4
16
1
0
0
0
0
0
0
14
14
8
8
0
17
17
17
8
8
8
0
0
0
0
0
0
24
8
8
0
16
0
1
0
0
0
32
8
8
4
0
0
4
10
0
8
16
16
0
0
9
9
9
9
9
16
4
4
16
8
8
8
8
8
8
0
0
16
16
8
4
4
4
1
1
0
0
2
8
8
8
8
8
0
0
8
8
0
0
16
0
0
8
1
1
1
0
16
14
8
16
0
0
2
8
1
17
17
8
1
24
0
0
0
8
4
4
0
0
40
8
8
16
8
8
2
0
0
0
8
8
0
0
8
0
0
0
0
1
8
16
16
16
16
16
16
0
0
0
0
0
0
0
16
0
0
40
4
8
8
8
8
8
0
8
8
0
0
0
0
0
16
16
16
16
16
16
1
4
0
16
16
1
5
5
0
2
2
2
2
0
0
0
0
0
16
16
16
0
0
0
4
0
0
0
12
8
4
8
8
0
40
0
0
0
0
0
0
0
1
1
1
1
1
1
0
0
1
0
17
17
17
1
0
0
0
0
0
20
24
4
14
2
17
16
16
8
12
0
16
16
16
16
0
0
16
16
10
1
17
0
8
0
0
0
0
0
0
0
0
0
0
0
0
48
16
16
8
8
0
0
0
0
8
2
8
0
4
4
4
0
8
24
0
0
0
0
0
2
0
8
0
4
4
4
2
2
0
0
8
16
16
16
16
16
16
0
8
8
8
16
0
16
16
24
24
1
1
0
8
16
0
0
4
32
21
16
0
0
0
0
0
8
8
8
8
0
0
16
16
16
16
13
16
0
0
0
8
8
4
4
32
0
0
1
1
1
1
4
4
0
16
16
16
16
0
8
0
16
16
1
24
8
8
1
0
4
16
16
16
16
16
16
8
24
16
16
8
8
49
0
8
0
0
0
0
8
8
8
0
6
0
20
4
17
17
0
16
8
4
8
8
4
4
9
16
26
8
0
0
0
0
2
8
8
8
8
8
8
8
8
4
4
4
4
4
0
0
0
8
8
0
16
16
16
8
16
16
18
0
8
16
16
16
0
0
0
32
32
4
0
0
0
1
2
2
2
0
0
16
1
1
0
0
0
16
16
16
16
16
16
0
8
8
8
8
8
8
1
1
10
0
0
16
16
16
32
32
0
16
4
8
8
0
1
16
0
0
16
16
0
1
16
16
17
8
8
12
8
1
1
4
16
8
0
10
0
0
0
2
2
42
0
0
12
12
0
16
0
16
16
16
16
0
0
4
16
0
0
16
16
16
8
16
0
0
0
8
0
8
0
0
0
0
0
28
0
0
0
16
16
16
16
9
9
20
18
18
18
26
0
0
0
1
1
4
16
8
8
0
0
0
16
16
8
8
16
20
20
20
20
20
0
16
16
0
8
0
0
8
0
1
8
8
0
0
16
2
2
2
32
32
32
24
1
4
0
0
16
16
0
0
2
0
0
0
0
0
0
8
0
20
8
16
16
16
8
1
0
0
8
8
8
0
16
4
4
8
8
8
24
8
8
16
16
0
0
0
0
8
1
8
0
0
0
0
0
0
0
0
0
8
8
8
16
16
0
0
0
0
16
16
0
0
4
0
0
16
16
16
16
0
16
16
4
4
8
8
8
16
2
6
16
16
16
16
0
0
0
8
16
16
0
1
1
1
1
16
16
16
16
0
8
8
8
0
16
8
8
8
0
16
0
0
1
8
4
0
0
40
8
0
0
0
8
8
8
0
0
24
24
0
0
0
0
0
1
1
0
8
8
16
32
32
32
6
4
0
0
16
0
8
24
4
8
16
16
1
16
8
0
8
8
8
8
16
16
16
8
0
0
16
24
24
16
24
8
8
0
8
8
0
8
12
12
12
8
0
8
4
4
4
0
8
28
28
3
0
16
0
32
16
8
0
8
8
0
0
0
16
0
0
17
17
8
8
16
16
16
16
16
16
0
16
16
16
1
0
0
0
0
8
0
0
0
0
0
1
9
5
5
0
40
2
16
16
0
16
16
16
0
8
8
0
2
2
8
8
0
0
0
0
8
0
2
2
2
2
0
8
0
0
0
0
2
8
0
8
8
8
8
4
0
0
0
8
8
8
4
0
8
8
8
0
16
0
0
0
0
0
16
4
9
9
9
0
1
1
0
0
16
16
16
8
16
17
1
1
8
16
16
4
20
20
18
28
0
8
8
4
4
16
0
0
0
0
0
8
1
4
8
16
16
16
8
8
8
8
8
0
0
0
0
16
16
16
16
6
19
19
19
2
16
0
40
0
0
0
8
14
4
4
4
4
0
0
0
0
8
8
8
0
0
0
0
0
32
32
4
32
32
16
0
0
0
0
17
0
0
8
8
8
8
0
0
16
8
8
32
32
24
0
25
0
0
0
0
0
0
0
0
40
0
0
0
0
0
8
8
0
16
4
16
8
8
8
8
0
1
1
0
16
16
16
16
0
8
8
2
8
8
0
0
20
20
20
8
8
8
5
5
16
16
16
16
0
1
1
1
1
1
1
4
4
36
16
16
0
8
0
2
2
16
0
0
0
0
0
8
8
8
16
8
8
8
8
24
0
0
0
8
20
0
16
16
0
0
12
8
26
28
20
4
4
0
0
16
1
1
1
5
5
0
8
8
8
0
0
16
8
0
0
4
1
8
4
0
0
0
0
0
20
8
8
8
8
0
0
0
0
0
0
4
4
12
12
0
1
1
1
1
1
1
1
1
1
4
4
0
0
16
16
0
32
16
16
16
0
8
8
10
10
10
16
16
16
24
0
0
0
8
8
2
20
4
4
8
8
0
16
16
0
0
0
0
0
0
1
2
2
0
0
0
0
0
0
0
8
8
0
16
8
0
0
0
0
8
0
0
0
25
8
17
0
0
0
16
16
16
16
16
16
0
1
4
16
1
1
16
16
16
8
0
0
0
0
0
0
0
0
8
8
8
16
0
4
8
8
8
32
0
0
0
0
0
12
8
0
0
16
16
16
16
8
8
8
8
8
8
0
8
16
8
8
0
8
8
0
4
8
8
8
8
9
9
0
4
4
4
16
16
16
16
16
0
8
1
16
8
8
8
8
8
18
16
2
16
16
0
28
28
8
24
0
0
8
5
8
0
2
25
17
8
8
0
4
0
8
5
8
8
1
1
4
32
32
16
8
0
0
8
0
0
0
24
16
12
2
8
8
8
24
24
24
17
1
1
1
0
22
22
0
0
0
0
8
16
16
0
32
32
4
4
0
0
8
0
18
2
2
2
0
0
9
1
8
0
0
8
8
8
8
0
0
0
0
8
0
9
8
8
8
0
0
0
0
0
8
1
1
8
0
0
0
0
0
0
0
0
0
0
0
0
0
5
5
6
6
6
6
0
0
8
0
0
0
16
16
4
16
16
4
4
4
4
4
8
2
1
1
1
37
37
37
37
37
37
8
8
16
16
16
8
8
0
0
16
16
16
0
0
0
0
0
0
0
0
0
0
16
16
16
0
0
0
8
16
16
16
32
32
32
32
0
0
8
0
0
32
16
16
0
0
0
0
0
0
0
2
2
2
2
2
2
8
0
0
0
0
0
0
0
32
8
8
8
8
8
1
2
8
8
8
4
16
4
4
17
4
4
4
16
16
16
8
8
16
0
8
8
0
1
1
8
8
8
0
0
8
8
8
0
17
1
8
0
16
16
10
10
10
10
10
10
10
32
32
32
8
20
0
16
16
0
16
0
8
16
16
1
16
16
0
16
8
8
0
8
8
0
8
16
0
46
2
0
16
16
0
4
8
0
8
8
0
4
4
16
16
1
1
8
8
0
1
1
16
16
16
0
0
0
16
4
16
16
16
0
0
16
0
0
32
8
8
0
0
0
0
0
0
0
16
1
0
16
16
12
12
4
4
4
0
16
0
0
0
8
0
0
8
8
8
4
8
0
0
0
8
8
8
8
8
8
16
0
0
0
0
0
16
16
4
4
0
4
4
0
0
0
30
30
0
8
2
2
0
0
0
0
24
8
8
0
0
16
0
8
8
0
0
0
0
0
16
16
16
16
0
1
0
0
0
0
16
16
0
0
8
12
12
8
4
0
8
8
0
0
16
1
1
0
0
4
4
0
0
8
8
16
8
0
0
4
8
0
24
0
8
8
16
8
8
8
24
24
0
0
32
32
8
0
8
8
50
50
50
50
4
4
8
8
8
9
1
0
8
8
8
22
22
0
8
0
16
16
4
4
8
0
8
4
8
8
0
0
4
4
0
0
0
8
8
8
32
32
8
8
8
8
0
0
0
16
8
8
8
8
4
4
4
1
1
4
0
5
13
8
8
0
0
0
0
1
1
1
8
32
40
16
1
1
0
8
24
0
48
16
0
0
0
0
0
0
0
16
8
8
24
8
16
8
8
8
0
0
0
17
17
16
16
16
17
1
16
0
16
0
0
0
0
0
0
0
0
16
4
16
0
17
17
24
1
1
1
0
2
27
8
0
8
0
0
20
8
16
1
16
16
16
16
16
0
16
0
30
30
30
0
16
0
2
2
2
1
0
0
2
0
4
4
4
8
8
16
8
8
8
8
0
0
0
8
0
0
16
8
8
8
8
8
0
0
0
24
8
1
8
8
0
16
16
16
8
16
0
8
16
16
0
16
8
8
8
0
32
0
2
16
0
0
0
8
0
0
8
8
18
8
8
4
24
0
0
0
0
0
2
2
2
2
2
8
8
16
13
13
13
13
0
0
0
16
16
16
16
0
0
8
1
1
16
8
8
8
0
16
40
0
4
4
8
8
20
1
2
0
8
8
0
32
8
8
8
8
8
16
24
8
16
16
16
16
0
0
8
8
0
16
16
16
16
0
8
0
8
8
2
9
9
9
9
9
0
16
2
16
10
10
0
8
16
8
8
0
0
8
8
8
8
8
0
0
1
8
8
8
4
56
2
2
2
15
15
15
15
0
24
0
0
8
8
0
8
1
1
0
32
32
20
24
0
0
16
20
8
8
0
8
8
0
0
0
0
16
16
16
16
16
8
8
0
8
16
16
8
0
0
0
0
0
0
4
4
4
27
20
16
0
0
4
0
3
0
0
1
1
16
1
16
4
2
8
8
4
4
8
8
8
8
8
16
0
0
6
6
8
8
16
0
0
0
16
16
0
0
0
8
8
0
0
0
16
16
16
0
0
0
0
1
32
8
0
32
32
0
0
8
0
0
1
0
1
1
1
8
0
8
17
8
8
0
16
16
8
0
0
0
0
0
8
0
1
16
0
0
52
48
16
4
4
8
8
8
8
1
8
8
4
4
0
0
0
0
8
8
8
8
32
0
0
0
0
0
0
0
0
0
0
0
8
52
16
24
24
24
24
16
24
16
16
16
16
8
16
8
8
8
0
8
0
0
3
1
1
16
16
0
0
0
0
0
4
4
1
0
0
4
4
4
8
8
0
8
16
16
8
0
16
16
16
0
16
8
2
8
20
8
8
8
8
8
2
0
8
16
16
16
0
0
8
8
8
8
8
1
12
8
8
8
8
8
0
0
16
16
4
4
8
16
16
16
8
8
0
0
16
16
8
24
8
8
0
0
0
0
2
4
0
0
0
0
8
0
0
0
0
0
28
40
16
16
0
0
0
8
8
8
16
0
0
0
0
16
40
40
32
8
2
8
8
8
8
8
8
8
16
8
12
0
8
0
8
8
16
16
8
16
16
16
0
0
8
4
16
16
16
0
0
32
32
32
11
8
12
8
8
16
0
5
5
0
0
0
32
8
16
16
2
8
8
8
0
8
16
16
8
0
0
0
0
4
28
0
17
4
4
0
0
0
8
2
16
16
16
16
16
12
12
12
12
2
16
0
17
17
17
0
0
0
16
16
16
16
16
0
8
8
10
2
2
0
8
8
16
1
0
0
0
0
0
2
2
2
8
8
1
1
1
1
24
32
0
0
1
16
16
16
1
1
1
0
0
0
16
0
0
0
0
0
2
2
0
0
24
6
8
0
8
10
8
8
0
0
0
16
16
8
8
8
1
16
16
16
16
9
16
0
0
0
4
0
8
8
0
8
0
0
8
8
16
8
16
16
0
0
0
24
0
0
16
18
20
20
0
0
16
0
0
0
32
1
16
16
16
16
1
59
16
16
0
4
4
4
4
8
8
8
1
1
0
0
0
0
8
8
8
8
8
0
20
4
19
19
16
16
16
3
1
1
32
32
8
8
12
4
4
0
8
4
8
0
8
18
8
0
8
32
8
16
16
2
0
0
12
0
0
0
8
0
0
1
1
32
16
0
34
0
24
16
17
32
16
4
4
16
16
16
0
0
0
0
0
16
8
0
0
0
0
16
49
48
8
8
0
8
0
20
0
8
8
16
4
3
3
8
8
0
4
16
17
8
8
8
8
16
0
0
0
32
32
8
41
8
0
22
1
16
8
8
8
32
1
24
24
16
2
24
24
0
9
8
16
18
32
9
0
0
0
0
8
8
8
0
16
16
16
16
6
16
4
24
8
8
1
1
0
0
16
4
22
22
22
22
0
16
8
4
24
24
8
8
16
4
2
2
2
8
0
0
0
0
8
8
8
8
4
16
4
8
8
16
16
16
4
4
16
16
16
8
0
0
0
24
24
24
19
16
8
0
0
8
8
8
8
16
16
8
29
0
8
8
8
8
8
16
16
16
16
16
16
0
0
0
9
0
0
16
0
0
0
16
4
0
0
8
8
8
0
0
0
8
0
0
0
4
4
16
16
0
0
16
11
8
8
8
16
20
20
8
0
0
0
0
0
1
1
1
8
8
8
8
0
0
0
32
32
33
8
8
16
16
2
2
1
0
8
8
8
8
4
0
0
0
0
0
8
8
0
0
8
8
10
8
1
1
1
1
0
8
0
0
0
0
0
8
8
8
8
2
8
12
0
0
32
32
32
4
4
0
0
0
4
4
4
4
4
4
0
16
0
16
4
12
12
0
8
8
11
11
11
11
16
16
0
0
0
0
0
0
16
8
4
0
8
2
1
1
1
0
0
0
12
12
0
8
16
32
8
0
0
0
0
8
0
0
8
8
8
2
8
0
12
12
8
16
0
16
16
16
16
8
8
8
16
4
0
0
4
36
0
0
0
0
9
8
8
8
8
8
8
8
8
9
9
8
8
0
20
20
0
16
16
16
8
8
8
0
0
8
16
0
0
0
16
8
0
8
8
6
0
2
1
1
1
1
1
8
8
8
8
0
0
0
4
0
8
32
32
2
2
2
0
4
4
4
4
20
0
0
8
8
4
4
0
24
24
24
24
32
16
16
16
16
16
0
9
9
0
0
0
0
12
34
34
8
8
8
8
8
0
0
25
0
14
1
0
0
0
0
16
16
16
16
0
16
8
2
2
2
0
0
16
16
0
0
16
16
8
16
16
20
0
18
0
0
1
1
1
1
1
0
1
8
8
16
0
2
2
0
0
0
0
4
24
16
16
16
16
8
8
0
0
4
4
4
0
0
0
0
0
16
16
8
1
1
0
16
16
9
0
16
16
0
8
0
4
5
2
16
1
0
0
0
0
16
16
16
1
8
8
8
8
8
16
16
16
8
8
32
4
1
2
0
0
0
0
4
4
0
1
1
1
1
1
1
0
0
32
32
32
32
32
32
32
32
32
0
0
0
0
0
0
0
0
0
8
42
16
16
8
8
8
0
0
0
0
1
1
0
0
0
37
37
37
16
0
0
0
16
0
1
1
1
1
1
1
32
32
16
16
4
4
16
0
0
4
0
16
2
2
8
16
16
0
1
16
25
2
16
0
16
16
4
4
4
4
2
8
0
0
16
16
16
16
16
16
16
11
25
2
2
8
17
17
0
0
0
8
8
20
4
0
0
0
1
17
17
19
16
16
0
40
16
0
0
0
0
0
8
0
4
16
4
0
0
16
1
1
0
0
0
1
1
8
8
8
0
0
0
1
0
16
16
0
16
16
16
16
16
1
4
4
0
16
16
8
0
4
0
8
0
0
0
8
0
0
4
4
8
8
8
1
1
0
0
16
0
0
8
8
8
8
16
16
0
1
8
8
8
0
26
4
4
0
0
16
16
16
16
0
0
8
0
0
0
0
2
16
0
2
16
24
16
16
16
16
0
14
24
24
24
24
24
24
24
1
20
0
8
0
0
8
16
16
16
16
16
8
8
0
0
4
4
8
8
17
52
0
4
8
8
16
16
16
16
16
16
16
16
16
0
0
0
4
4
4
4
4
16
16
0
0
0
60
0
0
0
17
16
24
8
0
0
8
8
8
8
32
32
32
16
16
24
16
16
0
0
0
8
8
2
2
16
0
0
0
0
2
16
16
0
16
0
0
8
0
16
16
8
8
16
0
0
0
8
4
0
0
0
0
1
1
16
16
16
16
16
16
16
0
0
0
0
0
0
4
37
37
24
24
24
32
8
28
24
16
4
0
9
9
0
8
16
16
48
0
0
0
0
0
0
0
0
16
1
1
1
32
0
2
16
0
0
16
8
8
2
4
8
16
16
0
0
1
1
12
12
12
12
12
12
12
12
8
8
8
0
0
8
8
8
8
8
2
2
8
8
8
4
16
8
0
8
2
2
0
0
0
0
0
8
8
8
0
18
8
16
16
16
16
16
14
14
14
14
16
1
8
24
4
4
16
2
12
12
12
2
0
0
0
0
16
0
8
16
16
16
4
8
0
0
0
1
0
8
0
0
8
8
32
4
4
0
0
16
8
8
8
17
17
17
17
16
16
16
8
8
0
48
32
0
16
16
16
8
0
8
2
2
2
1
1
1
40
40
40
4
1
1
0
0
4
4
0
0
8
24
8
0
16
16
16
16
0
0
0
16
0
4
4
4
4
0
0
8
16
16
2
2
0
0
9
9
16
16
16
16
16
16
16
16
8
8
4
4
0
0
0
0
16
8
8
8
16
16
4
0
1
0
0
16
4
2
2
2
0
0
48
48
16
0
0
8
1
1
1
8
8
16
4
8
1
1
1
2
48
16
8
8
8
8
8
8
8
8
8
6
16
16
16
16
16
16
16
16
8
0
0
4
8
16
8
16
24
0
0
0
0
0
0
8
8
8
0
0
1
0
2
2
0
2
2
16
16
8
8
24
24
24
16
16
16
16
16
0
30
6
6
6
6
0
0
16
16
16
4
8
0
0
0
4
4
4
8
8
20
20
8
8
2
2
2
4
4
0
8
16
16
0
0
2
10
10
10
10
10
8
16
17
16
16
16
8
8
32
32
32
32
8
8
32
32
0
8
8
0
16
4
0
16
20
20
8
8
0
0
8
24
4
0
8
8
8
0
0
0
0
0
2
2
2
20
20
2
4
16
16
0
32
32
0
0
17
4
4
0
0
16
8
0
0
0
8
2
1
1
1
17
16
16
0
0
16
2
5
4
16
0
20
20
20
20
16
16
16
16
16
16
16
16
0
0
0
0
0
0
8
8
8
0
0
0
16
0
0
0
0
8
4
0
0
8
0
0
16
24
16
18
18
8
17
4
4
8
8
8
8
0
20
0
1
16
8
0
1
8
8
0
0
0
0
0
0
0
0
4
0
12
12
0
0
0
0
0
16
8
8
8
0
8
0
16
16
16
16
16
16
0
18
18
18
18
18
18
2
2
9
8
8
8
8
16
0
16
0
8
0
0
0
0
0
0
1
1
17
8
2
2
2
0
14
14
14
8
8
8
2
16
0
0
1
1
8
0
0
0
1
1
32
8
8
48
8
10
22
17
8
1
0
0
0
6
4
4
28
28
28
2
2
2
2
0
8
8
0
4
0
0
16
0
0
4
8
8
0
8
6
6
0
16
0
0
0
0
1
0
0
0
8
8
8
2
0
0
0
0
16
16
16
0
0
0
53
39
0
8
9
9
9
8
8
32
16
16
8
8
8
8
8
8
8
8
8
1
8
0
32
32
8
8
4
9
44
44
8
8
8
8
9
16
16
16
16
8
0
8
8
8
2
0
0
0
4
20
8
16
16
0
0
16
16
16
16
16
16
16
16
16
16
0
16
0
8
8
8
1
1
1
0
8
8
8
8
8
16
8
0
0
8
8
0
0
8
1
0
0
4
4
0
32
32
0
0
2
8
16
0
0
0
8
8
8
0
16
16
16
1
1
16
16
0
0
4
1
1
8
8
8
8
0
0
8
8
0
1
1
8
8
8
8
2
2
1
0
14
24
24
0
0
0
4
4
4
4
4
8
0
22
8
8
0
1
0
8
8
0
0
0
16
61
0
16
0
8
8
4
8
0
8
8
1
16
4
4
8
0
0
2
0
0
16
16
16
8
8
8
16
16
1
1
1
0
0
0
0
8
8
8
8
0
11
4
0
4
4
4
24
0
16
16
16
16
0
0
0
8
20
20
0
0
0
2
0
16
8
8
8
8
8
8
8
8
0
24
24
24
24
8
8
8
8
8
0
0
0
0
0
24
24
24
8
8
8
12
12
0
8
8
8
0
8
0
8
8
8
8
32
0
0
0
0
5
2
24
24
24
24
24
0
0
1
1
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
8
8
8
0
0
0
24
8
0
16
8
0
16
0
0
52
0
8
8
8
0
8
8
8
0
0
0
0
16
16
16
16
16
16
16
0
0
16
16
0
16
16
16
8
8
8
1
1
2
8
8
24
1
1
28
24
4
0
16
16
16
40
8
0
1
8
8
8
8
16
16
24
24
8
8
0
8
0
4
4
0
1
0
0
0
0
0
0
1
1
1
4
1
0
0
0
0
42
1
8
8
8
8
8
8
8
8
8
1
0
1
0
2
0
0
0
0
4
8
4
16
16
16
0
0
16
8
0
0
0
0
0
0
8
0
0
0
16
0
0
0
34
34
16
0
8
24
16
2
8
8
8
8
0
0
4
0
16
0
0
0
0
0
0
0
0
16
0
8
18
16
16
8
8
0
0
8
8
8
8
0
0
0
8
8
28
24
0
8
8
8
8
4
4
0
0
16
8
0
0
12
2
2
2
1
1
0
0
24
0
16
16
16
16
48
0
0
8
0
16
8
16
16
16
16
16
16
16
16
2
0
0
0
0
8
0
0
16
0
0
2
16
20
8
28
8
8
16
16
0
32
32
0
0
1
16
16
16
1
0
28
16
24
24
0
16
4
8
12
0
20
8
8
8
2
0
0
0
8
8
8
8
0
0
10
0
0
0
8
8
8
21
16
16
8
16
0
0
16
16
0
8
16
4
8
0
0
0
16
8
8
8
8
8
0
21
16
4
0
0
0
0
0
0
0
4
24
24
24
0
8
8
16
16
16
21
4
4
0
0
0
2
8
8
0
0
0
0
16
0
0
16
16
16
16
3
3
0
0
16
16
4
4
8
16
16
8
8
0
24
16
16
16
0
8
11
11
11
11
8
2
2
0
18
20
0
0
0
0
8
1
4
0
16
16
16
16
16
16
16
8
8
8
0
0
0
48
0
8
8
8
8
0
0
0
0
16
0
8
6
6
0
0
32
0
0
0
8
8
8
8
32
32
8
0
4
0
8
0
0
8
0
0
0
0
0
0
0
0
0
0
0
16
16
4
4
4
0
0
4
4
2
8
8
8
0
0
0
0
24
24
8
8
8
0
2
17
8
8
8
8
8
1
1
16
0
8
8
16
16
16
60
16
4
4
4
0
0
0
4
4
0
0
0
0
16
16
16
16
8
0
0
1
17
1
1
1
24
8
8
8
0
2
1
1
0
20
1
8
8
8
8
8
0
0
0
0
0
0
0
0
8
8
0
0
0
0
16
16
2
8
0
0
0
0
0
0
2
2
1
16
2
8
8
8
8
8
0
8
4
4
16
0
16
8
0
0
24
24
24
16
16
16
16
16
16
16
16
16
16
16
0
4
4
4
0
16
8
20
20
4
4
2
0
16
16
16
16
16
9
0
0
0
8
0
32
32
16
16
24
0
0
0
0
16
16
16
0
16
8
8
2
0
0
0
20
16
20
4
0
2
20
32
0
4
4
0
0
8
8
8
9
0
8
0
0
8
8
8
16
0
24
4
4
8
8
1
1
16
0
8
16
16
0
0
32
8
8
0
16
4
16
16
9
9
0
0
8
8
16
32
4
0
0
16
4
16
1
8
8
8
2
2
26
8
8
8
8
0
0
8
8
8
8
32
32
0
0
0
18
18
0
8
16
0
0
0
0
0
0
0
8
8
8
0
8
8
18
4
0
0
16
16
16
0
17
17
8
8
0
0
8
16
0
1
17
1
34
0
0
0
0
8
0
0
0
24
16
16
16
24
8
9
0
0
1
1
0
4
4
8
0
0
0
0
0
0
16
17
16
20
20
4
0
0
0
16
16
18
8
0
8
8
8
16
0
0
1
0
16
8
16
0
0
0
4
16
0
4
0
0
0
28
18
16
16
0
0
0
0
8
16
0
0
0
0
0
0
0
0
0
8
8
8
16
16
16
16
4
4
16
0
0
0
0
8
8
0
0
48
32
32
32
32
32
0
0
8
8
0
0
8
16
16
16
24
0
16
4
16
0
0
4
2
1
0
0
16
8
0
0
16
8
8
8
18
2
0
0
0
8
2
1
1
1
48
24
0
0
0
4
0
0
8
8
8
8
8
8
16
16
0
8
8
0
0
0
0
16
16
16
0
4
0
9
1
16
4
4
0
0
8
16
16
8
0
8
4
4
4
4
4
0
0
0
8
20
20
16
16
0
1
4
1
17
17
1
8
2
16
0
0
0
0
2
2
0
0
0
0
8
8
8
2
2
0
0
0
0
32
32
16
8
8
8
8
8
8
16
16
0
0
0
6
8
1
1
1
1
1
0
0
0
2
2
2
2
2
0
9
8
17
17
17
17
0
0
4
0
0
0
0
8
8
8
8
32
0
10
10
8
8
0
2
0
0
0
0
0
0
2
0
0
0
0
16
8
8
0
0
0
0
0
0
0
16
16
16
0
8
16
16
0
8
8
8
8
1
0
1
1
0
0
0
8
8
25
25
0
16
2
9
3
4
4
4
4
4
4
4
8
32
32
2
8
8
8
8
8
8
0
0
0
2
2
2
0
8
16
16
16
12
24
8
8
8
8
16
0
8
8
0
0
0
32
32
24
24
24
0
32
32
4
1
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
16
16
52
1
0
8
8
8
19
19
19
0
0
16
0
0
8
0
24
24
24
24
0
0
0
8
0
0
16
8
8
0
0
0
16
16
8
8
0
0
0
0
8
8
2
2
20
20
0
0
8
4
4
0
4
4
16
8
40
40
40
36
16
16
16
0
0
2
2
2
1
1
17
8
0
17
0
1
6
6
0
0
2
2
16
16
0
4
4
4
4
0
8
0
4
0
0
0
9
16
37
37
0
0
0
8
1
1
1
1
16
16
16
16
16
16
16
16
16
16
16
0
0
8
8
8
4
4
4
4
4
8
8
0
0
8
2
8
4
0
4
8
16
1
8
16
16
16
8
8
8
8
8
0
17
17
17
17
17
0
0
8
2
16
8
8
0
0
16
0
8
16
0
1
1
0
0
4
4
4
0
0
8
8
0
0
0
0
2
16
16
16
8
0
0
0
0
4
4
8
8
24
20
20
20
0
0
4
8
28
8
0
2
2
2
2
2
2
14
14
14
0
8
16
1
16
0
0
0
16
4
8
8
0
8
1
8
16
1
16
2
2
1
1
16
16
16
0
8
48
48
4
0
0
0
1
0
0
0
0
2
2
2
8
20
20
20
20
20
20
50
0
0
0
8
0
0
0
8
0
25
0
20
4
8
16
16
8
8
0
16
16
0
0
0
0
10
10
10
10
8
0
1
1
16
0
0
0
0
8
8
20
1
1
16
16
0
0
0
0
0
0
0
0
0
16
8
21
0
0
16
8
8
16
16
0
0
22
22
22
1
1
16
1
11
11
2
0
0
0
16
9
0
0
2
2
16
0
16
16
8
4
2
0
16
16
0
8
4
0
4
4
6
22
22
6
0
0
4
4
16
16
0
8
8
24
8
8
0
0
24
16
16
16
2
1
2
16
16
0
0
0
16
16
16
0
0
16
1
16
16
16
0
0
10
10
10
10
16
16
0
30
2
0
0
40
8
0
48
1
32
0
16
16
16
8
8
8
8
25
25
25
25
25
0
8
0
0
0
1
16
40
16
16
16
8
8
8
0
1
0
0
0
4
0
0
0
0
24
8
0
0
9
8
8
20
0
2
2
0
8
0
1
16
16
8
40
32
32
8
0
0
8
40
0
0
2
0
0
16
0
0
0
0
0
0
0
0
16
16
2
2
16
16
16
18
18
1
1
8
8
1
0
0
8
8
0
0
0
8
0
16
16
16
10
10
16
0
0
1
1
0
16
16
16
8
8
8
17
17
12
12
12
12
12
0
16
0
16
16
16
16
0
0
0
0
8
32
8
8
16
16
16
0
0
8
24
0
16
24
16
16
16
8
1
4
16
16
16
4
0
2
0
16
8
0
8
8
0
8
8
8
8
0
0
0
1
1
1
32
32
2
8
0
0
16
16
8
0
0
3
2
4
4
4
1
16
16
8
16
16
16
0
30
30
16
10
4
4
2
0
0
0
0
16
0
0
33
33
33
8
8
0
0
8
16
16
0
8
16
8
8
0
0
0
0
20
16
8
8
8
8
8
4
4
8
8
8
40
40
40
40
40
4
4
4
1
1
1
1
1
0
32
0
0
16
16
16
16
16
28
0
16
0
32
0
0
8
0
16
16
16
1
0
0
16
16
8
0
0
0
0
0
0
24
24
40
0
0
0
0
0
16
16
16
16
16
16
16
8
1
4
8
8
18
8
8
0
0
8
8
1
1
8
0
0
4
0
2
0
0
2
0
8
8
8
8
8
8
28
28
28
0
0
0
16
0
0
0
8
16
8
8
0
0
0
8
8
41
1
2
4
4
0
16
0
0
0
8
0
16
16
16
0
0
16
0
36
8
8
16
4
8
9
0
0
16
16
0
0
16
16
8
8
8
0
8
9
24
16
4
36
32
8
8
16
0
8
8
8
8
44
0
0
0
8
0
0
4
4
32
8
9
1
1
1
16
16
0
0
8
8
8
8
8
5
1
1
2
20
20
20
0
0
1
0
0
8
0
0
0
16
16
16
16
0
8
1
0
8
8
2
0
0
4
8
0
0
16
16
1
16
16
4
6
4
2
16
8
8
8
0
0
16
16
2
2
2
24
4
40
40
2
2
4
48
32
0
16
8
8
8
24
24
4
4
4
4
16
16
20
22
8
0
0
0
8
0
8
32
32
8
0
16
16
8
0
0
16
1
9
9
9
9
9
0
1
16
16
16
8
8
8
8
8
8
8
16
8
27
0
0
16
16
16
18
0
0
0
8
0
26
8
0
0
0
24
0
0
0
20
8
8
0
8
4
4
1
1
4
16
16
16
50
16
16
1
1
0
1
1
2
0
1
0
0
0
14
0
1
0
0
0
0
20
16
16
4
8
0
0
4
0
0
0
0
0
0
8
8
0
0
4
4
4
4
4
4
0
0
0
8
16
16
8
8
0
0
0
8
8
8
8
8
8
8
8
1
0
0
16
16
16
19
19
19
19
19
4
4
0
11
1
9
0
0
0
0
16
16
16
16
32
32
32
2
2
24
24
8
8
8
16
16
16
16
16
16
16
16
0
8
8
0
0
16
16
16
16
16
8
8
8
24
2
8
8
16
16
8
24
16
16
16
0
32
20
20
20
20
20
0
8
8
0
2
2
4
2
4
0
0
0
0
5
39
8
8
1
1
0
4
16
8
0
16
16
8
0
0
0
0
0
0
0
17
0
8
8
8
16
48
1
8
8
24
24
27
27
0
0
16
16
16
8
1
1
16
8
16
16
0
0
0
0
8
0
0
0
0
24
24
2
16
16
8
0
8
0
8
8
0
0
0
0
0
2
2
2
1
16
16
16
18
16
8
20
20
8
8
1
16
8
8
8
0
9
9
0
16
40
0
0
16
16
0
0
0
0
8
8
8
4
4
4
16
16
0
8
8
8
1
1
8
8
0
8
0
4
4
4
8
4
4
32
32
32
32
8
0
0
0
0
0
16
16
4
0
1
0
32
16
16
16
8
0
0
0
0
0
0
0
16
17
8
8
8
8
0
0
0
24
8
8
8
1
1
1
0
18
18
18
18
16
16
8
0
0
0
16
16
1
1
16
16
1
1
8
0
17
0
4
4
8
4
1
1
1
1
1
2
0
2
1
1
0
0
0
0
0
0
0
0
8
4
0
1
1
8
42
0
0
0
0
8
0
1
1
4
4
4
4
24
8
8
0
8
8
8
8
1
1
5
4
1
0
0
0
16
16
16
16
16
16
0
0
8
8
8
4
0
2
2
2
3
12
16
16
24
8
1
1
16
16
16
16
16
2
2
2
2
1
1
6
24
0
8
8
8
0
1
1
1
1
2
2
2
2
17
41
16
7
7
8
0
8
0
24
24
8
0
16
8
2
2
8
0
8
1
4
0
0
8
2
0
1
8
8
8
20
8
8
16
16
16
8
1
0
0
16
16
16
8
16
34
4
4
0
0
20
16
0
0
0
0
0
0
0
8
0
0
2
16
16
16
16
8
8
0
8
8
8
0
0
0
0
0
0
8
8
3
4
4
4
4
0
4
4
0
1
1
16
24
8
16
8
8
1
4
1
1
1
0
0
8
8
8
8
8
8
27
27
0
0
8
8
0
8
8
0
0
0
0
0
8
8
8
0
0
0
0
0
1
1
1
8
8
16
16
16
0
16
16
16
0
16
16
8
3
0
4
4
0
0
0
0
0
8
0
0
8
8
8
9
0
0
0
16
16
16
0
16
16
8
8
8
8
26
0
0
16
16
16
16
0
2
0
16
0
8
8
8
16
16
16
16
8
4
4
8
8
8
24
8
0
16
8
16
0
0
0
16
0
0
8
0
2
0
0
0
16
16
32
6
6
8
24
8
8
8
0
2
16
0
15
0
0
0
0
0
1
8
8
27
37
4
0
8
8
40
2
4
4
4
4
20
0
0
1
1
1
8
8
0
18
9
8
8
8
16
16
8
8
0
0
0
0
8
2
0
8
8
28
12
12
18
18
8
8
9
9
16
16
8
8
8
16
0
0
0
0
16
16
2
2
2
2
16
0
8
8
1
0
1
6
8
8
6
6
2
2
9
8
8
32
0
8
16
8
8
16
16
0
2
8
8
25
0
3
16
1
12
2
0
0
8
18
8
4
0
0
0
0
0
20
8
8
8
0
0
0
8
0
0
0
0
0
0
0
16
42
42
42
58
16
8
8
0
0
24
8
8
44
44
44
44
0
0
0
0
0
0
0
0
0
12
0
8
8
8
8
0
4
4
4
4
4
4
4
4
4
8
4
4
8
2
2
0
5
16
0
0
2
2
8
4
0
2
8
0
0
0
0
0
8
8
8
8
8
22
22
2
8
8
8
16
0
0
0
8
8
8
8
8
2
12
12
2
0
8
8
8
8
26
1
0
2
32
16
0
0
0
0
2
2
8
32
16
16
16
8
8
8
8
8
8
24
0
2
8
0
1
1
8
8
8
17
0
0
8
1
1
8
8
24
0
0
0
16
0
0
26
13
13
13
8
0
0
0
0
0
0
0
0
16
8
8
14
0
0
0
0
6
6
20
16
8
0
0
0
8
0
8
2
2
8
8
8
8
16
16
16
16
16
0
16
16
0
0
0
16
0
13
4
16
16
0
0
16
8
8
8
8
8
8
8
8
0
4
4
20
0
16
24
16
16
4
16
16
16
16
0
25
16
16
16
16
16
0
0
0
28
2
0
12
12
8
8
16
0
16
0
32
32
47
0
8
8
8
0
0
4
10
8
0
8
8
0
8
8
24
20
0
8
8
2
8
8
8
9
9
9
8
8
8
8
0
0
8
8
0
0
0
0
0
8
8
8
16
0
0
0
0
0
0
0
10
0
16
8
0
1
0
0
8
8
2
2
0
0
0
0
4
4
3
8
8
4
4
4
8
8
0
10
10
0
0
2
2
0
4
4
2
2
2
2
0
0
4
4
4
1
1
10
16
4
16
0
16
16
16
16
8
8
0
17
0
0
1
8
2
2
1
0
0
0
0
17
40
8
8
8
8
8
8
0
0
8
8
0
0
0
8
1
5
4
8
20
0
8
8
0
0
0
2
0
24
17
16
16
1
0
0
8
8
16
16
16
2
2
0
0
1
16
0
0
0
8
0
8
16
16
16
0
40
8
4
1
1
0
0
10
10
10
0
8
0
6
24
24
24
0
0
32
16
16
16
2
6
0
0
0
0
32
49
49
49
8
8
16
24
24
24
8
8
8
0
8
8
8
8
8
0
0
0
16
0
0
16
16
4
4
4
4
4
8
2
2
2
2
0
0
0
16
51
8
8
8
0
0
0
0
16
16
16
0
0
0
0
9
9
8
8
8
1
0
16
16
4
4
0
0
8
2
2
8
8
2
0
2
8
1
0
0
2
2
12
4
4
4
4
4
4
4
4
8
8
8
0
8
8
42
42
2
2
4
0
0
0
0
12
1
1
1
1
4
4
4
24
28
1
4
1
1
0
11
16
0
25
1
0
0
0
4
4
0
0
0
0
8
16
32
32
32
17
8
16
8
8
0
0
8
0
0
0
0
0
8
0
0
12
4
0
0
0
8
8
16
16
16
42
34
16
0
8
4
0
0
0
0
4
2
0
8
16
16
16
8
24
0
8
8
8
0
16
0
8
8
8
0
0
0
9
2
2
0
0
16
16
4
0
0
0
16
16
16
16
0
0
0
0
6
6
0
0
0
8
0
0
0
0
2
2
32
1
1
16
16
16
2
8
8
16
16
16
1
0
8
41
45
4
17
4
4
4
0
0
0
0
0
0
0
0
0
0
8
20
8
16
16
0
16
0
0
1
1
4
8
0
0
0
0
0
0
0
0
0
0
0
8
0
0
42
42
42
42
0
8
8
16
16
0
1
1
16
16
29
0
0
0
10
2
16
8
4
9
8
8
12
16
16
8
8
0
0
7
0
0
4
4
4
4
0
0
0
2
0
4
4
0
0
0
8
8
8
8
8
8
8
0
0
4
0
0
0
0
0
0
0
8
8
8
8
8
8
0
2
3
3
0
0
16
2
12
12
12
0
8
17
16
8
0
0
0
0
4
0
0
0
0
8
2
0
8
8
24
2
2
0
24
24
24
16
1
1
1
1
0
24
24
8
0
0
33
33
40
32
0
0
0
2
8
0
48
48
48
0
24
0
0
0
0
0
2
2
0
8
8
8
16
16
0
16
16
8
8
8
24
18
18
0
0
0
0
0
0
1
8
8
8
8
8
0
8
8
16
8
8
8
0
0
0
0
16
16
16
16
16
16
0
8
0
0
0
8
16
16
16
16
16
0
0
0
24
24
24
16
16
16
16
16
16
16
8
0
0
0
0
16
16
0
8
6
6
8
16
16
16
52
52
8
16
0
8
0
16
16
4
0
0
41
8
8
8
8
1
1
1
1
8
0
0
0
4
8
8
0
8
8
8
8
16
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
8
0
0
8
8
4
4
1
1
1
1
8
8
0
0
0
0
25
25
28
16
0
8
0
0
16
8
0
0
8
8
0
2
24
24
0
24
24
24
24
24
0
4
8
8
8
8
8
8
25
25
25
25
25
25
25
0
8
1
1
0
0
16
0
0
0
0
0
0
4
16
16
0
16
16
0
0
0
8
16
16
9
25
9
2
2
2
2
8
0
0
0
8
8
8
8
16
16
16
1
1
8
8
8
8
8
8
2
2
0
0
2
2
2
16
16
16
16
0
4
16
16
16
16
32
32
32
32
8
0
0
9
8
8
8
8
8
0
0
0
24
24
0
0
8
8
16
16
16
16
16
0
0
0
0
16
16
2
2
2
2
2
2
2
2
8
8
0
0
0
1
8
0
13
8
8
16
0
1
0
16
16
8
16
0
0
0
0
0
0
16
16
0
0
0
0
4
4
4
4
4
0
8
38
0
0
8
8
8
8
8
24
0
0
6
0
0
2
0
0
0
8
8
8
0
0
16
32
8
8
8
8
8
18
18
18
2
8
0
16
8
8
16
0
0
0
0
8
32
32
32
0
1
8
4
0
0
0
24
0
8
8
8
8
16
16
9
0
0
0
0
0
1
1
1
0
0
32
8
0
16
16
16
16
16
16
16
0
20
0
0
16
0
0
0
0
0
8
16
32
32
32
0
4
0
24
16
0
8
8
16
16
16
16
4
4
32
32
16
16
16
0
20
20
16
16
16
4
0
0
0
0
0
0
0
8
16
16
20
20
20
0
0
8
8
0
8
9
9
9
4
4
4
8
8
24
16
2
0
0
0
0
0
0
1
1
8
8
8
0
0
5
16
4
4
0
0
20
0
16
0
0
0
8
16
0
0
9
0
0
0
32
32
32
0
8
8
8
8
8
8
8
8
8
8
2
2
0
0
8
0
0
0
16
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
16
0
0
0
0
0
36
0
8
16
8
0
8
25
25
25
0
0
0
0
0
0
32
0
8
8
8
8
8
8
8
0
8
0
16
16
16
8
56
56
8
0
0
2
16
24
0
0
1
8
8
8
8
16
16
16
8
8
0
0
8
8
8
8
16
16
32
0
0
0
0
8
14
8
8
8
20
8
8
4
4
4
4
16
16
8
8
8
8
16
16
4
16
16
16
1
9
8
1
1
8
0
0
16
0
0
0
8
4
4
0
8
20
1
1
1
32
8
0
2
1
32
16
16
0
0
2
0
0
0
8
8
0
16
0
16
8
8
0
0
0
0
16
0
4
0
16
8
0
9
0
24
8
8
8
8
8
8
0
0
0
0
26
8
8
8
8
0
18
0
0
8
8
8
0
16
8
17
8
0
8
8
8
8
8
0
0
0
0
0
6
0
0
0
0
16
4
4
4
4
8
16
16
16
8
2
8
1
0
0
16
16
24
16
0
0
0
8
8
0
0
0
8
16
8
8
8
8
8
8
4
4
2
2
16
2
0
0
32
8
8
28
5
0
0
0
0
0
0
0
0
0
0
8
0
4
4
4
0
0
32
1
8
8
0
8
8
0
16
8
1
1
1
0
16
0
0
0
0
0
4
4
24
24
16
16
16
16
16
0
4
4
0
8
32
0
16
16
0
8
8
0
0
8
16
0
16
0
0
8
8
16
0
0
2
2
2
8
8
8
0
0
0
8
8
8
8
8
8
8
0
16
16
8
8
0
1
0
8
8
8
4
0
8
1
1
0
0
0
0
32
32
0
16
16
16
20
20
4
4
4
1
1
0
0
0
8
8
8
0
8
8
8
4
4
0
0
1
1
0
16
0
2
2
0
2
2
8
8
8
0
0
61
8
8
8
8
8
8
8
8
8
16
16
16
0
8
16
16
0
24
24
24
5
0
8
8
16
8
17
0
0
8
16
0
0
0
0
0
16
16
0
2
2
2
2
3
0
0
0
16
0
0
0
24
16
16
2
0
0
0
0
0
8
0
0
0
8
0
40
40
40
40
40
0
0
0
8
1
0
0
0
12
4
4
0
0
0
0
0
8
8
8
8
16
16
16
16
16
1
1
1
0
16
32
32
32
0
8
0
0
0
0
0
0
8
8
8
0
0
8
8
2
2
2
0
0
8
48
16
16
56
56
24
26
8
25
4
8
0
0
0
0
0
0
8
8
8
16
16
0
0
0
0
0
24
4
4
8
8
4
8
8
8
8
8
8
0
16
8
16
16
16
16
16
16
16
16
16
50
32
16
16
24
8
56
0
16
16
16
12
1
8
8
8
16
1
0
32
33
32
8
8
8
8
0
2
2
2
0
0
0
0
0
0
0
16
16
16
16
16
16
16
1
8
8
16
0
16
16
2
2
16
0
16
4
4
4
4
8
8
8
0
8
48
8
0
8
8
4
4
0
0
1
0
0
0
32
16
0
0
16
16
16
1
1
0
2
4
1
1
8
0
8
8
24
8
0
0
0
16
8
8
8
6
16
2
2
2
16
16
16
16
16
8
8
8
8
8
8
24
24
24
0
0
8
24
4
52
8
0
0
0
0
0
1
1
1
1
0
0
8
8
8
16
16
16
8
0
8
2
4
2
2
2
8
8
8
16
8
8
8
8
16
16
16
20
20
8
8
8
8
8
32
32
32
32
32
32
4
5
5
4
4
4
0
0
0
24
0
0
16
0
1
0
4
4
4
4
0
1
1
8
8
8
8
0
1
8
0
0
0
0
16
16
1
4
1
17
24
0
4
16
16
0
1
2
2
2
2
2
24
24
2
16
9
9
9
2
2
8
9
9
9
9
16
0
0
0
0
0
0
16
0
22
6
0
0
24
0
0
0
0
8
8
16
4
4
4
4
4
0
0
0
4
4
1
18
18
16
1
22
8
0
0
0
16
16
16
16
16
16
16
16
16
8
32
32
0
0
0
0
1
1
1
16
0
16
8
8
8
0
1
24
24
2
8
0
0
8
8
8
0
0
12
0
2
4
4
4
8
8
8
8
8
8
8
8
8
8
8
0
16
0
16
16
16
16
16
16
16
16
8
0
0
0
0
8
8
8
8
17
2
2
2
16
4
8
8
0
28
0
0
0
0
0
0
1
2
2
0
0
0
0
16
8
8
8
1
16
16
16
16
16
16
32
32
32
32
16
0
0
0
0
0
4
4
8
8
8
8
2
2
0
0
0
0
17
17
17
17
16
16
0
0
0
0
8
16
16
8
16
16
16
16
16
16
16
16
16
24
24
0
1
0
0
0
0
0
8
8
8
8
16
16
16
0
0
0
0
0
18
8
8
8
8
3
3
0
4
5
4
0
16
8
8
8
8
8
0
16
0
8
11
11
45
37
0
8
8
32
0
0
0
8
0
16
16
0
20
20
4
8
0
16
4
4
0
0
0
0
0
1
1
16
16
8
0
0
0
20
20
16
0
8
8
8
8
1
1
8
8
8
1
32
8
40
40
8
32
4
4
0
0
0
8
18
18
18
18
0
0
0
0
0
1
5
8
0
1
1
1
1
1
1
1
1
0
0
0
0
0
12
12
12
4
0
4
8
0
0
8
0
4
0
0
8
8
8
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
18
2
16
16
0
12
8
2
2
2
4
4
4
16
16
16
0
8
16
16
0
1
1
8
8
8
8
8
2
16
0
0
0
0
0
0
24
8
32
0
0
34
32
0
4
1
1
1
1
1
8
8
8
8
8
0
24
16
0
8
8
1
0
0
0
40
0
0
0
0
0
0
8
0
0
16
16
8
0
18
18
8
0
0
16
16
16
16
16
16
0
8
0
0
0
4
0
0
0
16
16
16
4
8
16
18
8
11
17
0
0
0
0
8
16
44
32
32
2
0
0
16
16
16
1
1
1
8
1
8
2
2
2
2
2
2
2
2
2
8
8
16
4
4
4
8
8
0
0
0
8
8
0
16
0
0
16
16
1
2
30
8
16
32
1
1
0
0
8
8
2
2
37
8
8
0
8
0
32
32
32
16
1
0
0
0
0
0
0
0
8
8
8
8
8
0
8
8
9
8
8
8
8
8
16
0
0
0
2
16
16
8
24
8
0
0
0
0
8
1
1
9
9
9
1
1
1
2
8
0
5
16
1
1
0
1
16
16
2
2
24
0
0
0
0
0
16
0
0
12
12
0
0
32
32
16
16
16
16
16
16
16
16
4
8
2
8
8
16
1
1
1
8
8
8
0
16
16
0
1
0
0
0
2
2
2
2
8
0
0
0
0
16
8
1
1
4
4
4
4
0
0
0
4
4
4
32
32
32
32
8
4
16
16
16
16
32
32
8
16
16
0
0
8
1
1
0
8
8
8
8
0
0
0
8
0
8
32
0
8
8
8
8
18
18
16
16
16
16
16
0
0
0
8
32
32
15
8
8
8
16
16
1
1
1
0
0
2
2
2
8
16
16
8
0
0
0
0
0
0
8
4
0
0
0
8
8
8
8
8
8
0
0
16
40
4
4
2
0
0
0
17
17
17
0
18
18
8
8
8
8
8
8
8
0
0
0
0
0
24
0
8
8
16
8
32
16
20
4
4
16
16
16
16
16
16
16
2
8
28
28
32
4
16
16
6
6
16
16
4
4
0
0
10
10
10
10
0
0
0
0
0
8
16
10
0
0
0
16
0
5
5
5
8
24
8
16
2
0
0
0
0
8
4
8
8
0
0
0
0
0
0
0
0
8
8
8
8
8
59
59
59
0
0
0
0
16
8
8
8
0
0
16
16
8
0
0
0
8
32
32
24
24
16
24
28
28
32
32
32
8
8
8
0
4
4
0
6
6
16
16
17
0
0
0
8
2
32
0
0
0
16
8
8
8
8
0
0
0
0
6
6
6
6
16
16
16
4
8
2
0
0
8
8
8
8
8
8
8
8
8
8
8
17
17
4
20
8
8
0
4
0
8
8
8
8
8
1
4
4
16
0
0
8
8
8
1
8
8
8
0
0
0
0
0
0
4
4
0
0
0
16
8
24
0
0
0
16
16
16
16
0
8
4
4
4
4
8
8
8
8
0
0
0
2
2
2
2
5
1
1
0
0
0
0
0
16
0
12
8
0
8
2
17
17
0
16
16
16
16
16
8
8
8
16
16
24
24
8
16
0
0
0
5
50
8
8
8
2
4
4
4
4
4
4
2
2
1
8
0
0
0
0
0
1
1
1
8
8
8
0
16
0
0
0
9
0
0
16
8
9
0
0
40
0
1
0
0
0
0
0
2
16
0
0
0
0
8
0
0
4
4
32
32
32
8
8
8
8
32
32
32
32
0
0
0
16
16
16
16
16
16
16
16
16
16
8
8
8
0
8
1
1
24
24
8
8
8
0
8
8
8
8
8
16
0
16
1
8
8
0
16
16
8
8
0
0
0
8
8
2
2
2
8
1
16
17
17
8
8
8
8
8
8
2
1
33
33
4
0
0
16
16
32
1
8
8
8
0
0
42
42
16
0
33
33
16
8
8
1
4
16
16
16
0
0
0
8
8
8
8
0
0
0
0
8
16
16
16
8
0
0
0
8
8
0
0
0
16
1
16
16
32
32
1
16
16
16
16
16
8
8
8
8
0
0
8
8
16
16
8
8
16
16
0
0
17
1
16
0
16
2
0
4
0
1
8
8
8
8
16
16
24
8
19
2
19
19
0
0
0
0
0
2
2
0
40
44
4
0
0
0
0
8
8
0
0
1
8
8
8
0
12
12
16
1
4
0
49
0
0
4
8
0
0
0
0
0
0
8
8
8
0
2
2
2
0
0
0
0
32
24
8
2
18
18
18
16
16
16
0
0
0
0
34
34
34
0
0
0
0
0
16
16
0
0
8
1
0
0
0
0
8
8
16
16
16
16
20
0
28
8
8
8
8
8
8
8
4
0
8
24
24
19
19
8
8
8
8
8
8
0
0
22
4
16
0
0
0
0
0
0
8
1
0
2
0
16
16
16
0
0
0
9
9
0
16
0
1
0
0
0
16
16
8
4
8
8
8
8
8
16
1
27
27
16
18
18
8
8
28
28
0
4
4
4
1
1
16
24
2
2
2
2
2
16
16
16
16
16
32
16
8
0
0
0
32
32
4
4
8
8
11
11
8
0
0
0
0
0
0
0
0
0
8
0
0
0
8
32
32
32
28
0
0
8
32
32
8
16
16
16
16
16
16
16
16
16
16
16
16
8
4
2
0
0
0
0
8
4
16
0
0
16
16
16
16
16
16
8
8
16
16
16
8
4
4
0
4
4
34
1
1
0
2
2
0
16
16
2
2
16
4
32
8
4
4
4
0
8
8
0
2
2
16
16
16
16
2
2
2
2
2
2
0
0
8
8
18
4
12
4
4
0
2
8
8
8
0
8
8
8
8
8
16
16
16
16
16
16
16
0
32
1
1
1
1
0
4
4
4
0
8
8
8
8
8
1
1
1
1
1
1
17
0
8
0
12
12
0
20
2
0
16
0
0
4
4
0
2
8
8
8
10
8
10
0
0
0
0
0
8
32
8
2
8
8
8
0
32
32
32
32
32
16
8
8
8
8
8
11
11
11
11
0
8
8
8
20
20
20
20
20
8
16
16
16
16
16
16
16
0
0
3
8
24
24
24
0
16
40
40
40
40
40
40
8
0
0
0
8
8
0
0
0
28
28
0
21
21
21
4
4
0
0
0
0
0
1
1
1
1
2
2
2
2
16
18
16
8
8
8
8
8
0
0
16
16
16
16
1
1
16
16
16
16
16
16
0
0
16
0
7
4
4
16
16
16
16
0
0
1
24
24
16
16
8
16
1
8
0
8
16
16
17
1
2
2
0
0
16
0
8
8
8
8
8
8
8
1
2
12
16
16
16
16
16
10
10
0
0
16
16
16
16
8
8
4
8
0
0
0
0
8
0
0
8
0
0
0
0
8
8
8
8
8
8
8
8
0
0
8
16
16
16
2
2
2
8
8
0
8
8
8
8
8
8
8
0
0
8
8
0
0
0
2
2
16
16
0
0
8
8
16
1
8
0
10
18
0
8
0
24
16
16
4
4
0
0
0
0
2
0
0
0
0
0
0
0
0
6
4
8
8
0
4
4
4
1
0
0
31
4
4
1
0
8
8
0
0
16
16
16
0
0
16
0
0
8
32
16
0
0
20
16
8
8
32
4
12
0
0
17
16
0
0
0
0
9
0
0
0
8
0
0
0
20
0
0
0
0
16
8
3
3
16
16
20
16
10
10
10
10
10
10
0
0
0
8
0
1
32
16
16
16
4
4
0
0
0
0
8
8
8
18
0
0
0
0
0
0
0
28
4
0
0
0
0
8
16
16
16
8
8
8
8
24
24
0
1
0
0
0
16
16
16
0
0
0
8
0
41
41
8
8
0
0
0
2
16
8
8
0
0
8
8
8
2
2
34
34
34
8
1
1
0
0
0
16
16
16
16
16
16
1
1
1
1
0
4
4
4
1
1
1
16
2
2
0
16
16
16
16
16
8
8
40
40
40
24
8
0
24
8
0
26
25
2
0
0
16
16
2
2
2
2
2
1
24
34
24
34
0
8
8
8
8
8
8
0
49
20
0
8
21
0
0
16
8
0
0
0
0
8
0
1
9
9
24
0
8
8
8
8
0
0
0
0
16
16
32
16
16
16
8
8
16
16
16
16
24
8
8
0
16
16
0
1
1
1
1
8
8
8
24
16
16
16
16
4
0
8
8
8
8
8
8
8
8
16
4
0
8
24
8
1
0
24
8
16
16
0
8
0
0
0
16
16
4
4
4
0
0
18
16
1
1
0
0
0
4
4
0
0
1
4
8
16
0
1
1
1
1
1
1
1
0
0
4
4
4
4
0
8
8
8
8
0
0
0
17
38
17
17
6
2
2
8
8
0
4
0
0
8
2
16
16
0
0
12
12
12
0
16
0
8
16
16
0
0
9
0
0
0
0
0
0
16
16
32
16
16
16
0
0
0
8
4
1
1
0
16
16
16
16
0
8
0
16
16
26
8
8
16
16
16
16
16
16
16
0
0
20
8
0
0
8
8
8
8
8
8
16
16
1
16
24
0
16
0
0
8
2
0
8
16
16
16
16
16
16
0
0
0
0
8
24
0
0
0
0
16
16
8
0
0
16
0
8
4
0
0
18
2
2
2
2
16
0
0
0
0
0
0
10
8
0
0
8
8
8
16
16
8
8
32
32
8
8
16
16
16
16
16
16
16
16
0
16
0
0
0
0
0
8
0
1
32
32
16
16
2
0
0
0
8
1
1
1
8
8
0
16
16
16
16
16
8
8
8
8
24
8
8
8
8
0
0
0
8
8
8
8
8
8
22
22
8
8
8
0
1
24
24
24
8
8
8
8
8
8
0
0
4
4
4
4
4
16
8
0
1
1
2
8
0
0
16
48
8
0
0
0
0
8
8
8
8
8
8
0
0
0
0
16
32
33
0
16
0
1
0
16
16
0
8
8
8
0
0
8
16
8
0
8
0
0
0
0
0
0
0
0
8
8
8
4
8
8
8
8
36
2
8
16
16
0
8
16
2
1
45
0
16
16
16
4
4
0
0
8
16
0
8
8
8
8
24
24
0
8
0
0
16
16
16
16
16
16
0
0
8
0
0
26
16
16
16
2
2
2
8
0
12
9
0
0
0
0
0
16
16
16
16
16
1
1
1
1
1
8
0
0
0
0
16
8
8
0
0
0
8
8
8
8
8
8
8
8
3
16
25
25
25
25
0
0
0
0
16
16
0
0
0
0
32
0
0
0
0
4
4
4
0
0
0
16
16
32
24
16
0
0
0
8
0
5
5
8
8
8
16
32
8
8
8
8
8
8
16
16
20
0
8
8
8
4
4
0
0
0
0
0
0
16
8
0
0
16
16
24
2
2
0
0
0
1
1
1
1
1
3
3
16
16
0
0
0
0
6
2
2
0
8
8
8
8
0
0
16
16
16
0
0
8
60
0
0
0
0
0
0
0
0
0
16
16
0
0
32
4
0
0
0
16
16
9
9
1
0
0
0
0
1
1
0
0
1
0
8
16
16
16
8
8
4
8
8
0
0
0
0
0
0
8
0
1
1
0
0
0
4
6
8
8
16
2
2
2
2
0
1
4
4
8
8
0
0
12
8
8
1
1
1
1
1
8
8
8
0
0
0
0
16
0
1
8
0
32
0
0
0
0
0
0
0
32
32
32
32
32
16
0
2
0
8
8
0
0
0
0
4
0
0
7
0
16
8
8
8
8
16
16
0
0
0
16
3
0
0
24
16
0
0
0
16
16
16
16
0
8
0
8
16
8
24
8
8
8
0
0
8
8
8
12
12
8
8
0
0
8
16
8
8
10
8
0
24
16
2
8
8
8
8
8
8
8
6
4
0
0
15
0
8
1
32
33
33
33
16
8
8
0
8
8
0
16
0
0
0
0
8
8
16
16
16
16
8
8
8
0
0
40
0
0
0
8
16
16
0
16
16
16
16
16
16
16
20
16
16
0
4
4
0
16
16
8
8
8
8
8
1
1
8
8
16
0
12
4
16
16
0
24
22
0
0
0
2
16
0
24
0
0
0
0
2
4
12
13
16
16
0
8
0
0
16
16
8
0
8
8
8
0
0
1
8
8
1
1
16
2
0
1
1
0
0
32
16
8
0
0
0
8
8
62
4
1
1
1
32
8
8
8
8
8
4
4
0
16
16
16
4
0
16
16
1
1
1
1
4
4
4
16
16
16
8
16
8
16
0
10
16
20
0
2
2
2
2
0
0
8
0
0
16
16
16
16
16
8
8
8
8
1
8
8
40
40
6
16
16
16
16
8
1
5
0
0
0
28
24
16
0
0
8
8
0
0
16
16
16
16
0
56
1
1
1
0
0
0
8
8
16
16
0
0
0
0
0
0
0
32
32
32
8
8
16
0
16
0
0
1
32
32
32
8
0
8
8
0
0
0
0
32
32
32
24
40
40
40
40
8
28
16
8
8
0
4
4
32
32
32
32
0
0
8
8
1
16
0
0
0
0
16
8
0
8
8
8
16
0
0
0
0
8
16
0
0
0
0
0
0
8
8
8
0
8
0
8
0
0
0
0
32
32
0
0
0
0
0
0
25
25
32
0
0
0
0
8
8
8
8
1
1
0
0
8
8
16
0
6
8
10
10
8
16
16
0
0
0
16
27
8
24
16
1
0
19
8
8
0
0
2
2
9
9
0
0
8
2
2
16
16
16
8
8
8
8
8
16
0
8
16
16
8
0
2
2
0
0
8
0
8
8
8
8
8
8
16
16
16
0
0
0
12
0
1
1
1
8
8
3
8
12
4
0
0
0
1
1
1
10
16
16
16
8
8
0
0
1
1
32
32
0
0
0
0
8
8
8
8
8
4
4
16
16
0
0
20
1
0
8
0
0
0
1
0
0
16
4
4
1
1
1
1
1
0
8
8
4
8
8
8
8
8
4
8
1
0
0
0
0
0
8
18
0
0
0
2
2
8
8
32
32
28
28
1
16
16
16
16
16
12
12
0
0
0
8
8
2
2
2
10
2
2
16
4
8
39
39
39
0
0
8
8
0
2
2
2
8
8
8
0
0
0
0
0
0
0
8
8
24
24
24
6
0
0
2
2
8
0
8
16
16
1
0
0
0
0
0
0
8
8
8
8
8
0
0
9
9
9
9
9
8
8
8
0
0
4
4
4
4
4
4
4
16
4
10
17
17
16
0
0
16
8
8
0
0
0
0
0
0
0
0
16
16
8
8
10
8
8
0
4
1
0
0
16
8
8
24
8
1
8
0
0
1
8
8
8
8
16
8
8
16
4
4
4
4
4
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
32
16
8
8
4
24
0
0
0
0
0
2
3
3
2
2
2
2
0
8
8
1
8
8
0
4
0
8
0
16
0
0
8
24
0
0
0
2
0
0
8
0
16
16
0
0
0
0
16
16
16
16
0
0
2
1
1
2
12
12
8
8
0
8
16
12
12
12
16
4
8
2
8
8
8
8
8
8
8
8
16
16
16
16
16
16
16
16
16
16
16
16
16
16
0
0
16
1
8
16
16
1
27
0
1
18
18
8
8
16
16
4
4
4
0
8
0
32
32
8
0
0
0
4
0
2
0
0
15
15
8
8
8
8
8
8
26
0
8
1
1
1
8
8
0
0
0
0
16
0
0
16
2
18
16
0
0
4
4
0
6
6
4
0
1
1
0
16
16
8
8
8
8
8
4
4
0
2
0
1
8
8
0
0
16
0
0
16
8
8
16
16
16
16
16
16
0
4
16
16
16
4
4
0
0
16
0
0
8
8
52
16
0
0
16
24
18
4
4
8
33
0
0
24
16
16
16
16
0
16
16
16
16
16
0
0
0
16
16
16
16
0
0
0
0
0
0
0
0
8
8
8
8
16
20
1
1
1
1
16
16
16
4
0
0
0
24
16
16
8
16
16
16
16
0
0
9
0
0
0
0
12
0
0
0
16
16
16
8
0
0
0
0
0
4
28
28
1
1
1
16
16
16
8
8
8
8
24
2
8
1
1
1
0
3
8
8
0
16
8
8
28
0
2
8
8
8
16
16
24
0
0
0
4
4
8
8
0
8
0
8
0
0
8
8
0
0
16
0
0
0
2
2
2
2
0
8
2
2
1
1
1
0
32
32
32
0
0
8
0
16
0
8
8
8
8
8
1
1
1
1
1
1
0
0
0
8
40
12
16
16
0
0
1
0
8
8
2
16
4
4
4
16
0
0
19
0
0
0
0
0
0
0
2
4
4
8
16
32
16
2
2
8
8
32
0
8
0
0
8
1
1
1
2
26
4
0
8
1
1
0
0
0
0
32
32
32
1
8
0
1
8
8
8
8
8
8
8
16
8
8
0
0
16
16
0
0
8
8
8
8
24
8
8
4
4
4
4
8
4
0
1
1
1
20
0
0
0
0
17
17
8
20
20
32
4
8
8
8
8
8
16
16
24
0
0
0
4
4
0
0
0
19
19
0
8
24
2
2
2
16
0
1
4
4
4
4
0
0
0
0
0
0
0
0
16
16
0
0
8
8
24
24
24
24
24
24
24
24
24
24
2
2
0
0
0
16
8
2
16
8
16
0
49
16
16
16
32
32
32
32
0
0
0
0
0
2
8
8
0
0
0
0
8
8
8
8
8
8
8
10
10
8
8
8
8
18
2
0
0
16
2
0
9
16
16
16
16
16
16
0
16
16
8
1
16
16
8
8
8
0
8
0
8
8
24
0
0
16
0
0
0
0
8
8
8
8
1
1
1
8
0
0
0
8
8
12
12
8
8
0
0
0
16
9
8
0
19
8
8
16
16
1
2
2
0
0
0
0
0
4
4
0
1
8
2
2
2
8
8
8
8
0
0
0
0
8
0
0
0
0
0
0
16
16
16
8
8
8
8
8
16
0
0
0
0
16
16
2
8
0
0
0
16
16
16
8
2
0
0
24
24
24
42
8
8
1
0
0
8
16
0
0
0
1
8
0
0
0
0
8
8
0
8
8
8
0
6
2
2
0
16
32
8
16
16
16
0
0
0
16
0
4
5
5
0
1
0
0
8
0
16
16
16
0
2
0
4
4
4
16
16
16
1
16
16
0
3
0
0
0
0
0
0
8
8
0
0
0
0
2
0
16
16
16
16
0
4
0
0
0
0
0
0
0
16
8
8
8
0
0
0
0
1
32
49
4
0
0
0
16
16
2
2
5
5
16
16
32
1
1
0
0
0
0
4
0
0
2
2
16
1
8
16
16
0
0
0
0
13
8
8
16
8
1
8
16
4
8
8
0
0
0
19
32
32
16
32
32
16
4
16
1
16
16
16
0
0
0
0
0
0
0
0
0
16
0
16
16
12
8
8
8
16
16
0
8
8
16
0
0
0
16
0
20
8
4
4
4
4
16
1
16
16
4
20
8
4
4
8
16
8
16
16
16
0
0
0
8
0
5
8
33
33
0
0
2
0
1
8
8
24
0
1
1
1
8
8
8
8
16
32
32
1
0
0
0
0
0
0
1
4
8
0
0
24
24
24
0
0
0
0
16
16
16
16
16
16
16
8
8
1
8
2
2
16
0
0
17
8
8
8
16
8
8
4
0
0
16
16
16
16
8
8
8
8
8
32
32
32
32
9
9
9
0
0
0
4
4
32
32
8
8
16
16
1
1
1
0
0
8
8
0
4
16
16
16
8
0
16
16
1
1
8
0
0
0
0
0
0
0
32
0
0
8
8
0
16
8
1
0
8
5
2
2
16
16
16
8
8
8
2
32
8
8
8
4
4
8
8
8
4
4
16
16
16
8
16
16
16
16
16
8
8
24
0
16
16
0
0
8
8
2
2
2
8
8
8
8
8
8
8
0
0
8
16
16
16
0
0
8
0
16
16
0
0
0
0
8
16
16
28
28
8
4
0
2
0
0
0
0
0
16
16
16
16
32
8
0
8
8
16
20
20
20
8
40
5
5
32
32
32
0
16
16
16
16
16
2
0
8
2
0
8
16
16
2
2
2
16
1
1
16
16
8
16
16
8
8
8
8
8
8
8
8
1
1
1
1
1
1
1
4
0
8
8
8
0
8
8
26
0
8
8
8
8
8
8
16
16
16
0
4
16
16
16
56
4
25
25
8
8
32
32
0
8
8
2
2
9
9
9
24
0
8
8
24
24
24
8
8
0
8
8
8
0
0
16
24
32
0
24
32
9
16
0
0
32
32
32
0
0
0
16
8
8
0
0
0
0
0
24
16
8
0
8
16
16
16
4
4
8
0
0
8
0
4
16
16
8
8
4
0
24
16
4
4
6
31
0
0
0
0
0
16
4
0
32
32
32
32
0
16
0
0
8
8
4
4
0
0
0
16
16
0
8
8
16
2
2
2
0
0
0
0
24
24
0
40
4
2
2
5
5
5
5
4
0
18
33
0
16
0
8
8
8
8
8
8
0
39
16
8
8
0
0
16
0
8
10
1
16
16
0
0
0
8
8
1
1
1
1
8
0
16
1
1
4
4
0
0
16
16
16
0
0
0
0
0
0
0
0
0
0
1
8
8
0
4
0
8
0
16
0
9
9
8
8
8
16
0
0
16
0
4
0
0
0
16
16
8
16
1
1
1
1
1
1
0
1
1
0
0
0
8
1
32
32
32
0
0
0
0
0
0
6
6
6
6
20
0
8
0
0
8
0
1
0
0
0
0
16
16
16
0
0
0
16
8
0
0
0
0
4
4
4
8
24
8
8
0
0
0
0
0
2
2
0
16
1
1
1
0
17
0
16
16
16
8
0
0
0
16
24
12
8
4
4
4
20
4
0
8
8
8
8
8
4
4
4
16
8
8
4
24
1
1
28
16
48
0
0
2
2
16
16
16
0
0
2
16
16
0
8
0
16
16
0
8
25
1
0
8
8
8
0
8
8
0
8
32
1
8
16
4
20
20
4
18
16
16
16
26
8
49
49
49
16
16
8
8
0
0
0
0
16
16
0
0
0
16
2
0
0
0
0
24
0
0
24
24
20
32
24
0
8
4
4
4
0
0
0
0
8
8
8
8
0
8
8
8
24
0
0
0
0
16
16
2
0
2
1
0
4
16
16
1
1
0
0
0
32
32
0
0
0
0
2
2
2
16
16
16
16
16
16
16
8
8
8
8
0
8
8
8
8
0
0
0
0
16
24
24
0
0
0
1
8
8
8
0
8
8
4
0
0
0
8
8
8
8
0
0
0
16
0
16
16
1
1
8
0
24
16
16
32
8
4
0
16
2
2
0
0
0
0
0
16
0
0
1
1
8
0
16
16
0
0
1
16
16
44
0
0
0
0
0
8
0
0
16
16
8
4
4
0
0
24
1
1
1
1
1
2
2
2
2
20
0
4
4
4
4
0
8
16
16
1
0
0
0
0
16
16
16
16
16
16
0
4
0
8
2
2
2
10
0
16
0
4
9
0
4
8
2
2
0
8
16
16
16
8
0
8
8
8
2
2
2
0
0
16
8
2
2
16
16
16
0
8
16
8
8
8
8
0
16
16
16
16
16
16
16
16
16
2
4
4
4
0
4
4
4
12
0
16
16
8
16
16
0
8
0
0
9
9
8
8
24
0
25
25
25
25
24
16
16
0
8
8
8
1
0
8
16
8
1
0
0
8
8
4
24
16
16
8
0
0
8
8
8
8
16
16
16
16
0
8
0
0
0
18
18
18
18
18
18
4
20
0
0
0
0
0
16
16
16
0
0
8
8
8
8
8
0
0
8
16
12
4
4
0
0
16
16
16
16
16
16
16
0
0
8
17
16
0
0
2
1
1
12
0
8
0
0
17
17
0
0
16
16
16
32
0
2
8
0
0
0
0
8
0
8
0
0
16
16
16
16
1
0
16
0
1
25
1
0
6
6
0
0
0
0
0
0
0
0
8
8
32
2
2
2
2
0
8
8
8
0
8
8
8
16
0
4
0
0
0
8
8
8
4
24
24
24
20
20
8
8
16
0
0
0
16
2
40
40
0
8
1
1
8
8
8
8
8
0
8
8
0
0
8
8
4
36
36
1
1
1
0
4
1
16
0
49
49
49
24
24
0
16
16
8
8
8
0
4
4
4
8
8
8
8
0
8
0
8
0
0
0
4
41
41
41
41
41
41
41
0
8
8
24
0
8
8
0
4
0
0
8
32
8
8
8
8
1
1
8
0
3
0
0
0
0
0
8
8
2
2
16
16
16
16
4
4
4
4
4
18
32
8
8
8
8
0
0
0
0
8
0
0
4
0
0
8
8
8
32
24
29
16
4
8
0
0
0
0
10
4
4
4
4
4
4
4
16
16
8
8
32
0
0
0
1
16
8
8
8
0
0
0
8
0
0
0
0
0
25
8
8
42
0
8
8
0
0
0
16
8
8
8
2
1
16
16
32
8
8
8
8
8
8
8
8
0
4
1
1
0
0
0
0
4
5
8
8
8
1
1
24
24
2
0
0
8
8
16
16
32
32
32
8
1
2
2
0
8
0
16
2
4
0
8
39
4
12
12
4
4
0
2
24
8
16
2
33
0
0
36
16
5
5
0
0
0
10
10
0
34
0
32
0
8
8
16
16
0
0
2
0
32
32
0
0
8
1
8
4
16
16
16
16
16
8
8
8
8
16
2
18
1
1
1
1
0
0
17
17
8
8
24
16
16
16
5
5
5
0
8
0
16
4
16
0
8
8
8
8
8
8
8
8
8
8
0
0
16
0
0
0
4
4
16
8
8
8
0
0
2
2
0
2
2
2
2
40
0
0
5
5
5
0
0
1
0
0
9
9
1
1
8
8
8
0
0
0
2
8
0
0
8
2
2
2
2
0
32
32
8
32
32
32
32
16
16
16
16
20
0
8
8
8
8
8
4
16
29
0
1
0
0
0
4
5
1
16
8
8
8
0
9
0
0
0
0
0
0
0
2
16
2
20
20
16
16
8
8
4
16
0
0
8
8
8
0
0
0
0
0
0
8
16
16
16
16
16
0
0
0
0
0
9
2
2
2
2
2
2
2
19
16
8
8
2
0
12
20
20
16
0
0
1
0
1
1
0
2
2
2
2
2
15
0
0
0
16
0
0
0
0
0
16
16
16
8
8
8
8
8
0
0
0
16
4
4
4
4
4
4
4
4
0
16
16
16
1
1
1
1
8
8
8
1
0
8
0
2
0
0
8
8
8
8
0
0
0
8
8
8
8
8
8
8
16
0
24
0
0
16
16
0
8
8
8
0
8
8
16
14
16
8
0
36
36
16
16
8
8
0
0
0
0
16
0
8
8
4
8
24
4
4
8
8
0
1
1
12
8
8
8
8
8
8
8
8
0
2
2
0
8
2
2
2
32
16
16
16
16
16
8
8
8
16
0
1
4
0
18
0
0
8
8
0
32
32
32
9
24
4
0
8
8
8
16
0
4
4
0
8
8
8
0
0
0
0
0
0
0
9
8
0
16
16
9
16
16
24
24
16
8
8
4
18
16
2
0
0
0
0
8
0
0
2
2
0
0
0
0
0
0
0
16
16
18
8
16
8
16
0
0
8
8
8
8
0
12
4
16
8
8
8
8
8
8
8
8
4
16
16
18
32
8
33
33
16
16
16
16
16
0
0
0
16
16
32
32
4
32
32
32
0
8
8
2
8
8
8
16
0
8
4
4
0
32
8
0
0
8
17
0
8
24
16
16
16
0
16
8
0
0
0
8
16
16
0
0
0
2
12
8
0
0
16
16
17
16
8
20
0
10
10
8
0
0
4
8
1
16
4
0
0
0
0
8
24
0
12
8
8
8
8
8
8
21
8
16
8
32
32
4
16
16
4
4
2
8
12
12
12
12
12
12
8
2
0
8
8
8
8
8
32
8
8
4
4
4
4
16
8
9
0
0
1
1
16
25
0
0
0
32
0
0
16
16
0
8
8
8
8
0
1
8
8
8
0
2
8
2
2
8
8
16
2
16
32
8
8
2
2
0
0
0
0
0
0
0
0
0
0
0
0
16
16
8
8
0
2
2
0
16
1
0
8
8
0
8
0
0
0
0
0
0
24
24
0
0
16
10
0
24
1
1
16
16
30
30
8
8
8
0
0
0
16
1
1
4
8
8
8
0
16
16
8
24
24
16
0
0
4
4
0
8
8
8
0
0
16
0
4
4
4
4
0
0
4
16
28
0
4
4
16
16
8
0
8
8
0
4
4
4
0
0
0
0
0
8
8
16
0
0
0
0
0
0
0
0
0
0
8
16
16
16
16
16
8
8
8
8
8
6
6
6
0
0
0
16
16
0
8
8
8
8
8
8
16
16
16
8
8
1
16
1
15
24
24
1
1
1
8
8
8
8
0
10
8
0
0
0
8
8
0
16
8
16
16
16
0
0
0
16
8
8
8
8
2
2
2
2
0
8
8
52
16
8
8
8
32
17
16
16
16
16
16
16
0
16
16
8
8
4
0
0
0
0
0
0
2
2
2
24
8
16
8
16
0
0
0
0
8
2
8
8
8
8
8
8
8
0
8
8
8
16
0
0
8
8
0
0
0
20
20
16
32
32
20
0
0
0
0
0
4
4
4
0
0
0
0
0
0
0
0
0
0
8
16
16
0
8
16
1
1
4
2
40
8
8
8
16
32
8
8
9
9
25
25
0
0
34
16
16
16
16
16
16
4
4
40
0
8
4
4
0
0
4
16
8
0
0
0
0
0
8
8
8
0
8
8
8
0
0
16
0
0
0
34
32
32
1
1
0
16
2
2
2
0
0
32
32
32
8
8
8
8
16
8
8
0
0
0
0
1
0
8
0
8
16
16
16
0
0
0
0
0
8
8
1
1
0
16
16
16
16
16
16
8
24
1
2
0
8
32
32
3
16
16
0
8
8
8
8
8
0
0
0
8
8
8
8
28
28
28
16
16
16
16
16
0
0
0
0
8
0
8
8
32
32
32
4
4
4
1
0
0
0
8
0
0
0
0
8
0
16
0
0
20
20
1
4
0
8
8
8
9
0
40
40
40
40
16
0
0
16
16
16
16
16
16
16
2
8
12
0
8
4
4
0
10
0
32
32
1
1
1
1
8
16
16
16
8
8
8
0
0
0
1
1
1
32
1
8
16
3
0
8
8
0
0
0
4
16
0
0
0
0
4
4
4
0
0
0
0
48
0
0
24
0
0
0
0
0
32
32
8
8
4
8
0
0
0
0
8
8
0
0
0
4
0
0
1
1
4
1
8
8
8
8
0
0
16
8
12
12
8
0
41
8
8
8
8
24
0
2
2
0
0
4
0
8
9
16
8
0
8
8
0
8
8
8
0
0
16
8
16
0
0
0
8
8
8
0
8
0
8
8
8
16
16
16
16
8
8
16
16
16
16
8
8
16
0
1
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
24
8
8
8
16
8
8
8
24
24
24
8
8
4
4
4
4
4
8
8
8
2
2
2
0
0
1
1
4
4
4
33
32
0
0
0
16
8
8
32
32
32
4
8
0
0
2
2
0
0
0
0
16
8
0
0
0
8
12
8
8
0
9
9
9
0
0
0
8
0
8
16
10
10
8
2
8
1
1
1
4
4
4
20
0
0
0
0
16
16
8
16
16
16
16
16
0
8
8
0
0
8
0
0
0
0
2
2
2
24
24
11
12
8
32
32
8
0
8
4
0
16
16
0
4
0
8
32
0
8
0
16
16
0
0
0
1
8
4
4
0
0
0
0
0
9
0
1
0
16
16
16
16
16
16
0
0
0
32
16
17
17
0
0
0
0
9
0
2
2
2
2
2
9
17
17
17
4
32
32
0
0
0
16
16
0
16
1
4
4
8
8
4
0
1
0
0
0
0
20
20
32
0
0
0
0
0
0
8
0
1
1
8
8
8
8
8
8
8
12
12
8
10
8
8
8
0
8
8
1
1
7
32
16
16
16
1
1
16
16
16
0
16
16
0
0
0
20
8
8
8
8
8
24
24
40
1
1
1
0
8
16
16
16
0
0
3
3
3
0
0
8
8
8
2
2
2
31
31
0
0
4
4
8
16
16
0
16
0
0
1
1
1
1
1
4
16
0
28
8
2
8
6
0
34
34
34
34
1
1
8
16
16
16
0
0
16
1
8
16
18
16
8
16
0
17
17
8
8
8
8
8
8
8
0
0
40
0
0
8
8
8
17
16
8
8
8
0
16
1
8
0
16
16
16
16
8
16
16
16
0
0
8
2
2
2
2
2
0
0
0
8
8
32
32
32
8
8
8
9
8
8
8
8
0
25
8
8
8
8
0
0
0
8
8
54
2
2
0
16
0
49
49
1
1
0
1
18
0
0
0
1
8
8
8
8
8
8
8
0
1
8
8
8
8
8
2
1
18
18
16
16
16
8
0
16
16
16
16
0
0
0
16
16
1
1
2
0
8
0
0
0
16
12
12
12
0
0
0
0
8
8
8
8
8
8
8
8
4
4
8
8
8
8
32
32
0
0
0
6
1
1
8
2
8
8
0
8
8
0
0
0
0
0
0
8
1
1
0
8
8
4
8
0
8
0
0
0
0
0
16
16
16
16
24
16
16
0
0
16
0
6
8
0
0
1
24
8
0
8
0
16
16
8
0
16
16
0
8
8
4
4
0
16
0
0
0
18
0
1
2
0
0
0
0
0
0
16
16
8
24
24
0
8
8
0
0
0
0
0
20
4
4
0
0
0
0
0
0
2
0
0
20
2
6
20
16
0
4
0
0
0
15
1
0
0
0
0
0
4
4
8
8
8
8
8
8
4
6
0
0
0
0
8
0
0
4
4
4
16
0
24
24
8
9
0
0
16
0
0
0
9
0
1
0
44
4
4
0
0
16
0
16
32
40
40
0
32
32
16
16
16
16
0
0
0
0
0
0
8
8
16
16
0
33
0
0
1
4
0
16
4
2
0
0
0
2
2
32
32
0
0
8
0
0
0
0
0
1
0
0
0
16
0
4
0
0
4
4
8
8
1
1
8
8
8
45
0
0
0
15
16
16
16
16
16
3
1
16
0
0
0
2
17
8
0
0
0
16
0
0
0
2
0
16
8
0
24
24
8
0
0
28
4
4
4
2
4
16
16
16
16
16
1
4
8
16
16
8
0
0
16
4
18
0
8
0
0
16
16
16
16
0
5
8
8
12
8
4
0
0
4
4
0
0
0
0
0
8
4
0
8
1
1
1
1
1
1
16
8
8
4
0
0
16
0
1
1
1
1
1
8
0
0
0
0
0
8
10
0
0
1
1
1
0
0
0
8
8
8
32
16
4
4
4
4
4
0
0
4
4
16
16
8
1
4
0
2
2
16
16
16
16
8
0
8
8
8
0
40
16
8
8
8
0
0
4
8
8
0
16
16
16
16
16
16
4
32
32
32
32
1
1
16
1
0
0
32
1
8
8
8
8
8
8
8
8
0
0
0
8
8
8
0
8
8
8
1
8
8
0
0
0
16
16
0
0
8
4
4
0
1
0
4
8
8
8
0
0
0
0
8
0
0
8
0
8
8
4
16
24
0
0
2
2
32
12
12
8
8
8
8
8
16
0
8
0
16
0
0
1
1
32
8
8
2
16
16
2
16
0
0
8
8
8
8
8
0
8
8
0
16
0
0
0
0
0
8
8
8
8
0
4
4
8
0
4
0
0
0
0
8
0
0
16
1
2
2
2
2
2
2
2
8
8
0
4
0
0
0
0
1
1
1
4
24
24
0
0
5
5
5
5
8
8
0
0
0
0
8
1
1
1
16
16
24
0
0
1
4
2
0
8
8
16
8
8
16
5
48
1
4
0
0
16
16
16
8
16
24
8
12
8
0
2
8
8
0
0
8
8
8
16
16
16
16
16
10
8
8
8
8
8
8
8
4
0
0
0
8
0
0
0
0
0
8
3
3
8
1
0
0
4
8
1
0
1
0
0
3
3
3
3
3
12
8
24
24
4
8
16
16
16
0
8
0
0
0
16
16
4
4
4
0
0
8
8
8
8
8
8
0
0
16
0
0
0
0
16
0
0
17
0
8
8
2
34
8
8
4
0
0
0
0
2
8
8
8
8
24
16
16
16
1
1
1
1
1
1
1
1
8
0
0
4
8
3
1
1
0
0
8
8
4
4
2
2
0
0
0
0
0
0
0
0
0
16
0
4
4
4
4
4
4
4
0
0
0
0
8
8
0
0
0
16
8
8
8
8
8
0
4
4
4
8
0
8
8
8
8
0
17
0
16
16
8
16
1
0
16
0
16
0
22
16
16
0
1
0
0
2
56
8
0
0
0
0
16
16
16
16
8
8
28
0
0
0
0
16
4
8
0
2
0
1
1
1
0
16
8
8
0
0
0
8
8
32
32
32
0
0
16
4
0
0
4
0
0
8
10
10
0
4
4
0
0
0
12
8
8
8
8
8
8
1
1
1
1
0
0
16
16
16
0
0
0
24
16
16
0
0
0
0
1
1
0
4
4
0
8
8
32
8
8
8
4
16
2
0
25
25
0
2
2
0
0
5
16
16
8
8
8
8
0
20
0
8
8
8
8
8
8
0
0
1
2
2
2
0
0
24
16
16
4
8
1
1
1
1
8
8
16
8
8
0
1
1
1
1
1
0
16
16
5
5
5
17
17
0
0
0
8
0
8
8
0
52
16
8
1
1
1
8
8
0
8
8
8
0
1
1
1
1
1
32
32
16
16
16
16
16
2
24
8
0
0
0
0
0
0
16
16
16
16
24
8
8
8
8
8
24
24
24
24
24
0
8
0
0
0
0
4
16
16
5
4
0
0
24
16
0
16
16
16
0
0
4
16
16
16
16
0
42
42
42
16
16
2
4
0
0
0
20
32
32
8
8
8
8
8
8
1
8
0
16
0
0
8
8
0
0
0
0
12
28
0
0
4
0
16
16
16
16
16
16
16
16
16
16
16
16
4
16
16
16
0
1
8
0
8
8
17
1
32
0
16
0
0
0
8
8
0
16
0
25
2
2
4
0
17
8
0
0
16
16
0
16
8
0
0
2
2
8
0
0
0
32
32
32
8
8
8
4
24
2
0
0
9
8
8
8
8
0
8
0
0
48
0
0
0
8
1
1
1
16
16
16
0
0
0
9
8
16
16
0
0
0
0
17
17
17
0
1
1
0
0
16
9
9
9
9
56
32
8
8
16
0
8
8
8
0
4
16
16
16
4
4
16
8
40
4
8
0
8
0
0
0
1
0
8
8
8
0
0
1
1
0
0
0
0
0
1
1
8
2
2
40
1
1
1
1
16
24
16
0
0
0
16
16
16
16
2
2
8
0
0
8
8
8
8
8
8
1
16
8
8
17
17
16
16
0
16
16
16
8
8
8
8
8
8
8
16
16
0
0
16
8
16
32
32
16
16
16
16
0
0
0
0
16
16
16
16
22
22
22
0
0
0
16
5
16
16
2
2
8
8
8
8
0
8
16
8
0
0
0
4
0
4
20
4
18
2
2
2
2
24
0
0
0
0
8
8
8
16
0
0
0
0
0
2
2
8
0
1
16
0
16
16
16
16
8
8
8
8
8
6
6
6
8
8
0
0
0
0
0
0
0
25
1
0
0
0
0
0
0
8
8
0
0
16
0
0
48
8
2
0
0
16
16
16
0
0
0
32
16
4
24
4
17
17
16
0
0
0
16
16
16
8
0
8
8
24
3
8
1
4
8
8
8
0
0
8
0
0
0
0
4
0
16
8
8
7
8
20
20
0
8
0
16
16
16
8
0
16
16
8
0
8
8
0
16
16
9
9
9
0
0
32
32
0
0
8
8
0
0
16
16
16
0
0
8
8
0
0
0
0
24
8
0
6
2
8
8
16
16
8
16
8
8
8
8
16
16
12
0
0
0
8
0
0
16
16
8
0
33
0
0
16
16
16
16
4
4
4
0
0
0
4
16
16
0
8
8
8
8
24
24
24
1
0
0
16
22
16
16
16
16
1
8
10
0
8
1
0
0
0
0
0
0
16
16
8
8
16
16
16
8
0
0
0
0
0
0
0
0
1
4
4
0
0
8
16
16
16
8
1
8
8
0
0
16
16
16
16
16
0
6
0
0
32
7
4
0
0
32
0
0
0
0
0
0
0
0
0
0
8
8
2
18
2
0
0
8
0
16
0
0
16
32
1
2
1
0
8
0
0
0
8
8
8
1
4
4
0
0
0
24
16
16
16
16
8
8
8
8
1
0
0
16
16
0
8
1
0
2
0
8
16
16
0
0
0
12
0
0
0
0
2
2
0
0
1
57
16
16
4
8
0
0
18
2
8
8
8
0
0
0
0
32
0
0
8
16
0
0
0
8
0
0
0
0
0
8
8
8
8
8
0
12
12
0
0
0
4
8
0
24
0
17
0
2
4
8
16
16
0
4
4
8
8
8
0
0
8
8
8
0
40
8
0
1
0
8
0
2
2
16
16
8
8
8
8
2
2
2
4
0
0
0
0
0
8
16
16
0
0
0
0
0
0
0
0
8
8
8
0
8
0
0
8
8
0
0
0
0
0
16
4
8
16
0
0
2
2
2
0
0
8
0
0
0
0
0
4
4
1
1
1
0
0
16
16
16
0
0
0
0
0
0
8
16
0
8
8
0
8
8
16
0
0
0
9
4
8
8
8
8
8
0
4
4
18
0
32
0
0
0
0
0
2
16
16
24
0
8
8
0
0
8
8
8
0
24
8
16
16
0
0
8
12
4
16
8
8
0
0
0
0
16
0
0
0
0
16
32
0
0
0
4
0
0
0
0
0
8
8
24
4
20
20
8
8
8
16
16
16
16
16
8
8
8
8
1
16
16
32
16
16
0
0
0
0
0
0
8
0
16
8
24
10
16
16
16
0
8
16
8
8
1
24
4
0
0
0
32
32
32
32
0
0
16
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
8
0
40
40
0
2
24
16
16
16
16
16
16
16
16
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
48
32
8
16
17
0
0
8
1
16
0
2
2
2
2
2
2
8
0
8
8
2
16
0
8
11
32
32
8
8
8
8
8
8
8
0
8
8
8
0
0
0
8
8
0
0
8
0
16
16
18
0
0
0
0
0
8
8
0
0
0
16
16
16
0
0
0
16
16
16
0
0
8
0
16
25
20
20
20
20
20
20
8
8
1
4
18
18
0
0
8
8
8
8
0
0
0
0
0
0
26
24
8
8
4
0
8
8
8
8
8
16
16
16
8
8
0
0
0
0
0
0
24
0
0
0
8
2
2
8
8
8
8
8
32
32
32
16
2
4
16
1
1
0
0
0
32
8
1
0
0
0
8
1
1
8
0
4
8
0
0
16
2
2
2
2
16
16
16
16
8
8
8
8
8
8
1
1
32
32
8
32
0
0
2
0
0
0
0
0
8
8
8
8
0
0
0
8
2
8
16
8
0
2
16
16
16
16
12
4
8
16
16
0
16
8
0
0
2
2
2
2
16
16
0
3
3
16
0
8
8
8
8
8
8
0
0
8
8
16
16
16
16
16
8
0
2
0
8
8
0
0
0
16
0
8
8
4
16
16
17
4
4
2
2
2
2
2
2
4
4
16
16
16
16
0
0
8
8
20
0
8
8
0
16
16
9
2
2
16
16
10
8
24
0
0
0
1
4
0
4
8
8
4
0
24
24
0
0
48
48
8
8
0
0
0
4
4
32
32
2
0
8
8
8
0
8
8
8
8
8
16
0
0
0
0
8
0
4
8
16
4
2
10
8
8
2
0
0
0
5
4
0
0
0
0
0
0
8
8
8
8
8
0
0
4
16
0
0
8
0
8
26
2
2
0
8
32
32
1
0
0
0
16
16
0
0
0
0
8
0
0
0
16
0
0
1
3
0
0
0
0
16
8
8
8
0
9
16
16
16
41
41
41
16
16
16
16
4
4
12
12
8
8
8
8
8
4
4
16
0
0
8
8
8
0
0
6
0
24
25
25
25
8
40
8
8
8
0
0
8
0
0
0
8
8
8
8
8
8
8
8
8
8
16
16
16
16
16
16
8
8
8
47
1
1
16
0
0
0
0
2
8
8
8
8
8
2
0
16
16
16
0
0
8
8
20
25
25
25
25
0
32
0
8
16
16
16
16
4
9
16
1
12
0
8
0
0
16
16
0
0
8
8
8
16
16
16
8
8
0
16
16
16
0
8
0
0
0
0
0
0
0
0
2
2
2
0
8
8
3
3
41
1
0
2
2
32
1
16
16
8
12
0
8
8
0
0
0
0
0
0
0
8
8
8
0
0
0
16
0
0
0
0
0
8
0
0
16
1
24
24
32
32
8
0
0
0
0
0
1
9
1
8
8
8
8
8
8
8
1
16
16
0
28
0
8
8
4
0
16
16
32
16
16
2
2
4
18
16
4
5
16
16
8
8
8
0
0
16
16
0
0
0
0
16
0
1
1
24
8
8
1
1
8
16
0
2
2
2
2
8
18
6
20
16
16
16
16
2
2
2
0
8
8
0
2
8
0
0
0
0
0
3
1
24
0
0
0
1
1
1
8
8
0
4
4
8
8
8
16
16
16
2
8
8
0
0
0
1
8
32
32
32
32
32
16
16
0
0
48
8
0
0
16
16
16
12
4
16
16
18
0
0
16
16
0
0
0
0
0
4
4
2
4
5
16
0
0
0
0
8
8
8
8
8
0
17
1
16
32
8
8
0
4
1
4
4
2
2
16
14
14
14
14
14
0
0
0
0
1
8
8
8
8
0
0
0
8
48
16
16
16
16
16
0
0
16
16
1
1
0
13
2
0
16
8
8
1
0
13
13
13
13
13
8
8
8
8
8
16
16
0
0
1
0
0
0
25
9
1
4
4
0
8
8
0
0
0
6
8
8
8
8
8
4
8
1
1
1
0
33
33
1
8
1
0
2
16
24
24
18
6
4
40
40
1
0
0
0
4
4
0
16
16
0
0
0
16
4
4
8
0
16
8
8
8
0
0
8
16
8
6
2
0
8
8
8
8
8
8
8
0
0
5
5
0
8
8
0
1
0
0
0
8
1
4
4
4
1
17
16
0
0
8
2
6
16
8
8
4
8
8
0
0
0
1
16
16
16
1
16
16
16
16
16
0
8
8
8
8
8
8
0
8
0
0
0
8
16
16
16
8
16
0
0
12
0
0
8
8
0
4
0
0
0
0
8
4
0
0
4
4
0
0
8
16
0
0
0
0
0
8
2
16
16
4
20
20
8
8
2
8
0
0
8
0
0
0
0
0
0
8
8
8
16
16
4
56
0
4
4
4
4
16
4
2
2
2
16
16
1
0
0
0
0
0
0
12
12
12
12
0
40
8
0
8
0
0
4
0
0
0
16
16
16
8
8
8
8
1
0
0
8
8
0
3
3
3
3
3
3
3
0
2
8
2
2
0
16
8
8
0
48
16
16
16
16
30
8
8
8
8
0
0
0
0
0
0
2
2
2
12
12
12
12
0
0
0
0
0
0
0
0
0
16
8
0
0
2
2
2
0
0
8
0
8
16
16
16
0
4
0
0
0
0
0
2
2
0
0
0
0
0
0
18
0
2
1
8
8
16
4
0
0
0
0
8
16
16
8
8
8
0
0
16
16
0
1
8
8
8
0
16
16
0
16
16
4
4
4
4
16
16
8
8
8
8
8
8
8
8
8
8
8
1
12
12
0
0
0
22
0
0
0
8
8
33
33
8
8
1
1
1
16
16
16
16
16
0
16
8
4
4
4
0
16
9
0
42
0
0
33
16
0
0
0
0
8
8
8
16
0
0
0
8
2
8
8
2
0
0
0
0
4
4
4
4
8
8
8
8
0
0
8
9
0
1
0
4
8
8
12
4
4
1
9
8
8
8
8
8
0
41
2
0
0
48
0
0
0
8
8
0
8
8
8
45
45
45
16
0
0
8
8
4
29
8
16
16
16
1
0
0
0
32
48
32
0
0
8
8
0
1
48
8
0
8
8
0
20
8
8
8
8
8
16
2
2
24
8
8
8
8
8
18
2
0
0
0
8
8
8
16
16
0
0
0
2
2
0
8
0
0
4
0
32
32
32
0
0
1
0
0
16
16
16
8
8
8
0
0
0
0
0
0
0
16
0
1
17
0
0
8
2
2
16
16
16
0
16
18
24
16
16
16
16
16
1
1
0
0
0
8
16
16
2
16
16
16
16
28
28
16
16
16
0
0
8
8
8
0
0
0
0
16
0
8
8
8
4
16
16
16
0
4
4
4
16
16
16
8
1
22
0
0
8
0
0
8
8
8
8
2
0
2
2
45
0
0
8
8
0
8
8
0
0
9
9
0
0
16
16
16
0
8
32
32
8
8
8
0
1
1
1
8
0
0
13
16
8
8
20
20
0
0
8
22
22
22
0
4
16
16
16
0
20
16
4
4
16
22
22
0
8
8
1
16
16
16
16
16
8
8
0
8
8
0
0
16
0
16
12
12
16
18
16
0
8
6
16
19
0
16
8
8
32
1
16
22
0
24
0
8
8
16
16
16
16
8
8
8
8
26
0
0
16
1
0
1
0
16
0
0
0
0
0
0
1
1
1
4
0
0
8
16
0
0
0
16
16
12
4
1
4
4
20
4
14
4
0
16
1
4
8
8
8
0
16
8
8
8
8
4
4
4
16
4
58
16
8
4
8
0
2
0
2
2
2
0
0
2
24
1
10
16
24
24
16
28
1
1
0
0
0
0
16
16
0
0
8
0
0
9
16
8
16
0
0
0
16
16
2
16
16
0
8
0
0
24
24
24
24
24
24
8
8
8
8
0
6
6
6
16
16
0
48
0
20
16
12
12
12
2
0
0
16
0
0
0
0
0
16
1
1
1
1
16
16
1
0
8
8
8
16
16
18
8
8
8
8
9
9
0
8
8
8
8
8
9
16
16
12
12
8
0
24
8
32
0
16
16
18
18
16
0
0
16
16
8
0
0
0
8
8
0
0
0
0
0
0
0
0
0
4
8
2
4
4
4
8
0
0
0
4
0
8
8
0
0
0
32
0
0
1
1
1
1
0
8
8
8
8
16
16
16
16
16
16
4
4
8
0
0
1
1
48
0
16
16
16
16
16
1
1
8
1
16
16
16
4
20
4
0
8
8
10
10
0
0
0
4
8
16
8
8
0
0
0
0
0
22
22
0
0
8
16
11
4
8
8
8
16
0
0
0
0
0
25
25
0
0
0
0
0
0
0
17
17
17
16
16
16
0
0
16
0
0
1
2
0
4
4
0
48
1
1
0
8
8
8
8
8
0
0
0
24
24
8
8
2
2
1
1
0
19
19
10
2
8
8
8
4
4
4
16
0
0
2
0
16
16
16
16
16
16
16
16
16
16
16
1
1
1
0
9
9
0
2
0
16
16
16
16
16
24
24
8
8
2
8
0
8
8
8
8
8
24
24
24
0
16
33
24
24
24
8
8
8
8
0
16
16
0
0
16
0
0
0
0
1
0
1
1
0
0
8
12
0
32
0
16
2
2
16
0
0
18
24
8
8
8
24
24
24
24
24
24
16
16
0
16
16
8
4
0
0
0
8
8
1
24
16
17
2
2
2
2
0
0
0
16
8
16
16
16
0
8
8
8
16
8
16
8
16
8
8
21
4
6
4
16
16
32
32
32
8
8
8
0
0
1
1
1
1
1
1
1
16
0
2
2
2
1
0
24
24
24
8
16
18
12
8
0
0
0
0
16
16
16
16
16
16
2
0
3
3
16
0
4
16
8
0
16
17
1
1
8
0
32
32
0
0
0
0
0
0
0
0
9
16
16
16
1
8
8
8
8
0
0
0
16
0
0
16
16
16
16
16
1
18
18
16
0
16
16
4
4
17
4
8
8
8
0
16
2
2
2
2
2
2
2
0
17
10
0
0
0
0
0
4
4
8
0
0
2
0
0
16
0
0
0
0
16
16
16
9
8
1
8
38
8
8
8
4
4
4
4
8
8
8
8
8
8
8
8
1
1
1
0
0
16
16
8
8
0
0
8
8
17
17
0
16
16
8
24
0
24
2
0
0
16
9
9
9
9
9
0
2
2
2
0
8
16
16
8
16
2
24
1
12
12
4
0
8
8
0
0
0
17
53
0
16
16
4
4
4
4
2
0
0
1
8
0
0
0
8
8
2
2
16
16
16
24
4
4
0
16
0
16
8
0
0
1
1
1
1
1
1
1
8
8
8
8
8
24
24
0
16
16
16
32
0
0
8
8
8
0
0
0
0
0
0
0
16
0
0
0
1
4
24
8
8
0
8
0
0
0
32
0
0
0
0
8
8
0
0
8
8
16
24
8
0
0
0
2
2
0
0
4
1
17
2
16
16
16
8
8
1
0
0
0
1
1
0
0
0
0
0
0
4
8
8
8
16
2
10
10
2
2
8
8
8
0
0
0
0
8
8
4
0
0
4
0
32
32
0
8
0
0
0
0
0
0
0
20
20
0
24
24
24
0
0
1
1
8
40
8
0
0
32
8
8
8
8
8
0
0
2
2
4
4
1
1
0
8
0
0
0
0
0
16
0
8
2
8
8
8
8
8
8
0
8
0
0
8
16
0
0
0
16
8
16
1
16
16
16
0
8
8
8
0
2
2
2
2
2
16
16
16
16
16
8
8
24
0
0
8
16
16
8
0
0
0
0
0
0
8
28
28
0
0
0
32
32
0
0
8
8
8
0
0
0
0
17
0
0
0
0
1
2
2
2
16
16
16
16
16
1
40
1
1
1
1
1
16
16
8
8
0
2
2
16
16
0
0
16
16
16
16
8
12
0
0
4
4
0
0
2
4
1
8
8
0
8
8
8
8
16
16
16
6
6
0
0
0
24
24
0
0
4
8
1
0
0
32
0
8
56
16
16
49
0
16
16
17
16
0
16
0
0
0
28
28
8
8
0
0
0
0
0
1
1
16
1
8
8
0
16
0
16
0
0
4
16
16
8
8
8
8
8
16
16
16
0
0
16
0
8
0
4
16
8
8
8
8
0
0
8
8
0
16
16
0
0
8
16
0
9
0
8
1
1
18
0
0
24
0
8
16
8
24
0
32
3
21
21
0
0
0
0
0
0
0
0
0
0
0
0
0
16
4
4
10
10
10
0
0
0
0
0
0
8
2
4
16
16
0
1
0
0
0
0
0
8
1
1
26
2
0
0
8
8
8
4
4
0
0
0
8
0
0
0
2
2
0
0
2
56
56
0
0
4
32
32
0
8
8
8
32
32
32
32
32
0
0
0
0
8
16
16
0
0
0
8
1
0
0
0
0
0
16
16
8
8
8
8
8
16
0
0
60
60
2
0
2
0
0
0
1
8
8
0
8
9
3
1
1
2
8
16
16
8
0
32
0
0
0
0
8
8
8
16
16
16
16
16
16
0
33
33
4
4
4
4
4
4
8
8
8
8
0
0
0
0
0
0
0
2
8
8
8
8
8
0
0
23
16
2
2
2
2
2
2
2
16
20
32
8
0
0
0
0
0
8
4
0
0
0
0
18
1
1
8
18
18
18
8
4
2
2
16
16
0
16
0
0
8
8
8
8
8
0
0
0
0
0
0
0
8
8
1
16
18
16
16
0
0
0
0
0
0
0
0
8
24
16
0
17
1
19
10
8
16
16
1
0
0
8
8
16
29
25
16
16
16
8
0
0
4
4
16
2
16
0
8
0
2
2
8
0
0
0
48
32
28
16
16
16
16
0
0
0
0
0
0
24
16
8
8
8
16
16
8
8
8
16
16
16
16
4
4
0
0
0
0
0
0
8
8
8
8
8
0
8
8
8
8
0
0
16
41
1
1
1
1
4
0
16
16
8
8
8
8
0
0
0
0
0
0
0
4
2
0
8
2
0
2
8
25
25
25
8
8
8
8
8
4
4
4
4
8
8
8
0
0
16
8
0
0
0
0
1
0
2
2
0
1
1
0
16
16
40
8
16
16
0
0
0
0
0
1
16
10
8
0
1
8
0
16
9
0
0
8
8
0
8
32
32
8
16
1
0
0
0
0
2
1
0
8
0
8
8
8
8
4
4
7
7
7
7
1
1
1
1
8
8
1
0
0
2
0
0
16
18
16
0
0
0
0
0
0
18
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
8
8
8
8
0
8
8
8
8
24
8
8
16
40
16
0
24
8
8
29
29
16
16
8
0
0
0
1
1
24
17
0
8
8
8
12
8
8
8
4
4
4
4
4
0
0
0
0
0
0
0
0
18
18
0
0
1
1
1
8
1
1
0
0
4
4
4
8
8
16
16
16
16
0
8
0
0
0
0
0
32
1
1
4
1
2
2
2
0
0
8
1
1
1
1
19
0
0
8
8
8
8
8
16
16
8
1
1
1
1
0
0
0
8
0
0
0
4
4
4
0
0
16
16
4
0
0
8
8
8
1
0
0
0
0
8
16
16
16
16
36
0
0
32
0
0
0
0
0
16
0
0
16
0
0
2
0
0
16
16
1
1
1
0
4
4
4
8
16
5
1
1
0
8
1
1
1
8
0
0
0
6
6
8
16
16
16
16
8
8
8
0
0
0
0
0
2
2
2
1
8
8
8
8
2
2
0
0
16
8
0
0
0
16
0
0
4
0
20
0
0
0
0
0
17
17
17
0
1
16
16
16
0
0
0
4
0
16
0
0
0
0
16
24
1
0
0
4
0
0
8
8
0
0
0
8
2
1
1
32
32
7
0
16
0
16
16
16
8
0
0
0
0
18
18
0
8
6
4
0
4
8
8
0
0
8
0
8
8
8
0
16
16
2
8
8
0
0
0
2
0
0
24
24
0
0
0
16
0
24
24
0
0
0
0
2
16
8
8
8
0
0
0
8
16
16
1
1
1
1
56
56
56
56
56
56
56
56
4
1
16
9
4
0
18
16
0
0
2
2
2
2
2
2
2
2
2
2
8
0
0
0
8
8
1
0
8
4
4
0
1
1
1
0
56
56
8
8
0
16
0
0
8
0
24
6
8
0
0
4
4
4
4
2
2
2
2
16
0
1
16
16
16
16
8
0
16
16
8
8
8
8
9
0
8
4
4
28
16
28
32
32
32
32
32
32
0
1
16
16
1
1
0
0
1
1
4
4
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
18
2
0
0
24
20
24
0
0
0
0
0
0
0
0
0
32
32
8
8
16
1
0
16
16
0
0
0
0
4
4
4
0
16
16
16
16
4
0
14
8
8
2
0
0
0
0
0
0
0
16
16
0
8
8
0
0
17
0
4
4
0
24
24
16
16
2
8
8
16
4
4
4
0
0
0
16
16
1
1
1
24
16
16
16
16
16
4
0
8
8
0
0
0
16
16
16
0
32
0
16
16
0
25
6
0
16
16
16
16
8
8
0
0
0
0
1
3
16
16
16
0
0
0
0
0
8
0
0
0
0
0
0
1
1
1
8
8
8
8
0
0
8
16
17
0
0
0
0
8
8
8
0
0
0
8
32
0
0
17
17
16
1
1
1
1
0
0
0
0
0
0
0
0
0
32
6
0
8
0
8
8
16
8
8
20
20
8
8
0
0
1
32
2
2
2
0
27
16
5
0
0
0
0
0
8
0
0
0
8
2
16
16
16
8
8
8
8
8
8
8
32
32
4
4
0
0
0
0
16
0
0
0
16
8
0
8
8
8
24
24
24
24
24
4
16
16
16
8
6
6
6
6
6
6
6
0
8
8
3
3
3
32
32
32
8
0
16
8
8
8
8
0
16
16
0
8
8
24
24
2
2
24
24
8
8
8
8
16
8
8
1
14
4
4
0
8
8
0
0
8
8
4
8
8
8
16
8
8
4
0
0
2
4
4
4
20
8
8
8
1
8
4
6
0
1
0
0
0
8
0
0
8
0
16
0
4
0
0
31
0
16
8
32
48
16
8
8
8
0
0
0
0
8
8
8
8
8
0
40
40
16
8
8
4
0
0
8
2
32
32
0
0
0
0
16
16
0
8
0
2
2
8
8
0
0
0
0
6
6
0
0
0
0
8
0
16
4
4
0
37
0
0
0
22
22
16
4
4
4
4
4
4
8
8
8
0
8
8
8
4
4
0
8
8
8
24
24
24
24
24
4
1
0
8
2
8
16
0
0
60
40
8
8
1
4
16
16
0
0
0
8
8
24
0
0
0
0
0
0
16
8
8
0
0
0
17
0
8
8
8
8
4
0
1
16
24
4
4
4
4
0
0
8
8
8
16
0
16
16
0
0
0
4
8
4
8
0
0
8
8
0
8
8
8
8
38
0
8
8
0
16
16
24
24
24
1
1
8
8
8
8
8
0
0
0
8
0
0
0
0
8
0
16
16
0
0
4
0
0
0
16
16
16
2
2
0
0
0
8
8
8
4
4
4
4
4
24
24
8
2
8
8
8
1
0
0
0
9
9
1
8
0
0
1
8
0
0
0
4
0
0
0
4
8
8
1
1
32
32
32
1
1
16
16
8
0
6
18
18
28
20
4
4
4
16
0
0
0
0
0
5
0
0
0
8
8
0
16
15
16
16
0
16
1
16
8
12
12
12
0
17
1
16
16
16
16
16
16
16
8
8
8
8
8
8
16
16
16
16
8
1
1
24
24
24
0
1
1
1
8
8
8
25
25
4
4
4
16
0
0
0
8
8
8
4
0
0
0
0
0
16
16
0
0
2
1
0
16
8
0
0
16
0
0
0
0
0
8
8
8
0
0
16
0
4
8
16
0
0
8
0
0
16
0
25
8
8
8
0
16
16
16
0
16
24
8
14
0
0
0
0
0
0
0
8
8
16
2
10
2
16
16
0
0
1
1
1
4
8
8
16
16
16
16
16
16
16
1
0
0
8
16
16
16
16
0
8
20
16
16
16
16
59
59
59
8
8
8
8
0
32
0
8
0
8
0
8
16
16
16
0
16
16
0
0
16
16
16
16
16
16
16
16
8
0
41
41
41
8
8
8
8
8
8
18
18
18
4
0
0
8
4
8
8
6
6
1
1
1
1
1
1
1
0
16
16
12
12
8
16
0
0
1
8
8
8
16
0
44
44
8
0
0
8
8
8
36
0
0
25
25
1
1
0
8
8
8
0
24
24
24
24
8
8
8
8
8
16
0
0
0
24
24
24
8
8
8
8
8
8
9
8
22
0
17
17
17
12
12
0
0
0
0
0
0
21
8
8
28
4
4
2
2
2
2
32
32
32
32
32
32
0
0
0
8
21
21
21
0
0
0
0
8
8
0
0
4
4
1
0
0
1
1
0
2
16
0
0
0
0
0
0
0
0
16
8
8
0
8
24
8
8
8
8
8
8
8
8
8
8
8
8
4
4
8
8
8
8
0
0
8
18
18
16
8
1
1
16
0
8
8
0
1
0
16
0
13
13
13
16
16
56
1
1
0
0
0
0
0
16
8
8
8
0
0
17
17
17
17
8
8
8
16
1
48
8
8
0
8
16
0
0
0
17
16
16
2
8
0
0
16
0
0
0
1
1
1
1
4
4
0
8
0
16
16
16
2
8
0
0
16
16
1
1
1
16
16
16
16
16
8
16
16
16
2
14
14
0
0
0
16
16
8
8
8
0
8
8
8
16
0
0
0
0
4
8
2
2
0
0
8
3
2
16
16
16
16
32
8
8
16
16
17
0
4
4
0
4
4
20
0
17
16
0
8
8
1
1
0
0
25
0
4
4
0
0
20
16
16
0
0
0
0
0
0
0
2
2
0
0
0
0
0
0
0
8
8
8
18
0
0
0
6
8
0
4
1
1
0
0
0
0
1
1
1
0
0
0
0
16
32
0
0
4
4
4
4
4
0
0
0
0
8
0
0
0
0
0
2
0
0
8
8
8
8
8
8
0
0
16
16
16
16
16
4
8
16
8
8
9
9
16
0
0
0
8
4
4
8
0
16
8
16
0
0
8
16
16
6
6
6
6
0
8
16
16
0
2
2
0
0
0
16
16
16
16
16
16
0
1
16
16
16
16
8
1
1
16
16
16
0
8
8
0
0
2
16
32
0
0
0
32
32
56
8
8
8
0
0
16
16
16
8
8
13
4
2
4
4
16
16
8
2
16
16
0
0
16
17
16
16
16
16
16
6
6
8
0
0
0
8
8
8
8
0
0
20
16
32
33
1
16
16
24
1
1
1
0
0
0
0
32
32
32
22
0
0
0
40
16
0
2
8
8
1
1
20
0
0
8
4
16
8
25
0
0
12
17
1
8
8
8
0
0
0
0
0
0
16
32
16
0
16
0
0
16
16
0
9
9
9
0
0
0
16
16
16
16
8
2
18
16
16
0
0
0
0
1
0
16
16
0
0
32
0
0
0
0
0
0
16
16
14
14
4
4
4
8
9
1
0
16
16
0
4
4
8
4
0
16
0
0
16
16
16
16
0
0
2
0
4
20
2
8
0
1
0
37
4
4
0
0
0
16
16
0
0
8
0
0
16
20
2
2
4
16
8
13
13
8
8
13
13
13
13
13
1
0
2
0
16
16
16
8
16
0
32
32
0
8
16
16
8
20
16
8
8
0
0
32
0
0
8
0
0
0
16
0
0
8
0
4
4
4
0
4
4
4
4
4
0
0
0
0
8
2
16
16
16
6
6
6
0
0
2
2
2
2
8
2
2
32
1
22
16
8
24
24
1
8
8
8
0
0
0
1
1
0
0
4
16
1
16
16
16
0
18
16
8
0
0
0
0
0
0
24
24
32
0
2
2
32
32
32
32
24
0
0
16
16
0
2
2
2
2
32
32
32
18
8
0
1
1
16
49
0
0
2
0
1
1
0
2
2
2
2
8
0
0
2
2
16
16
16
8
0
8
8
8
8
24
0
8
8
8
8
8
8
1
0
24
0
16
16
16
24
2
2
8
16
1
1
16
0
0
0
0
0
0
0
16
16
16
0
0
48
16
16
16
16
16
0
0
12
1
1
4
8
16
8
0
0
0
8
0
0
0
0
0
0
0
0
0
2
2
24
0
8
24
24
24
0
0
4
8
8
24
24
24
24
18
0
4
4
2
2
2
2
8
0
0
0
0
16
16
16
16
2
16
0
0
0
0
16
16
14
14
16
8
8
4
16
16
0
0
0
1
0
0
0
0
0
0
4
4
24
0
8
0
16
16
8
8
8
0
0
0
0
0
0
10
10
1
1
0
8
0
0
0
0
42
42
0
8
12
17
1
1
4
8
0
0
56
56
56
16
16
0
0
0
0
0
32
8
8
8
8
8
8
8
8
0
1
1
1
0
16
8
18
0
0
0
0
0
0
8
0
0
1
8
24
0
0
8
8
0
26
26
16
16
0
4
4
4
4
4
4
0
8
0
0
0
0
8
1
8
16
0
0
8
1
1
1
16
4
0
0
16
8
8
2
2
2
0
0
1
1
1
0
0
16
2
2
2
0
8
1
5
0
4
8
16
0
0
16
0
8
24
0
0
1
0
0
0
0
0
2
2
2
2
2
0
0
0
0
8
0
0
8
0
0
0
8
4
0
0
0
9
8
8
8
8
0
26
16
8
2
8
8
0
16
1
1
24
24
0
0
0
8
8
8
0
8
8
8
8
4
0
0
0
4
9
1
1
16
0
0
0
0
0
16
16
8
8
8
8
8
8
8
8
8
8
1
0
8
8
4
0
0
40
40
2
4
4
24
24
8
8
8
8
2
16
16
16
12
8
8
4
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
1
4
8
8
4
4
0
37
37
37
37
37
37
0
4
8
4
4
8
1
24
24
8
0
0
0
48
32
2
0
8
8
8
8
1
0
0
0
0
8
4
4
4
0
0
0
0
0
0
0
0
6
1
1
1
2
2
0
5
5
5
8
0
0
28
16
16
16
0
4
4
4
4
0
16
16
8
8
0
0
0
24
4
8
0
0
0
0
0
8
8
8
8
56
56
8
8
25
0
0
0
0
2
8
8
8
8
8
6
0
8
0
8
8
0
0
0
0
0
8
8
1
1
1
2
0
8
0
16
16
16
2
2
1
1
8
32
8
2
8
8
8
2
2
0
8
9
9
0
0
16
8
0
16
16
16
24
24
0
0
32
32
8
8
8
8
32
2
16
0
9
9
0
0
0
0
8
16
16
16
0
8
16
1
1
32
32
16
0
1
8
8
32
0
8
8
16
0
2
2
2
2
17
17
21
21
21
21
2
4
4
4
4
0
0
0
32
32
32
0
8
4
1
2
2
8
0
0
0
0
16
16
0
8
8
8
17
1
1
0
8
8
8
4
4
4
4
4
4
8
0
10
8
8
8
0
0
0
32
0
0
1
1
1
1
16
16
16
16
16
2
2
2
16
16
16
16
16
16
4
4
0
0
0
8
0
0
0
0
0
16
0
16
16
16
2
4
0
0
0
0
0
0
0
16
16
16
17
16
8
0
0
0
32
32
16
16
9
9
1
8
1
1
8
2
16
8
8
0
0
0
48
16
16
4
2
2
8
4
0
0
24
24
24
24
12
12
1
1
32
0
0
8
8
8
16
16
0
0
16
16
16
16
16
16
16
0
8
2
4
4
8
8
0
0
16
8
8
8
2
2
9
9
9
1
1
0
40
0
16
0
16
16
16
0
1
1
1
0
16
16
8
8
0
20
0
2
1
1
4
4
4
0
8
2
2
2
8
8
0
0
0
0
20
8
8
4
4
0
8
0
8
16
0
0
8
8
8
8
1
1
1
1
1
16
24
0
0
8
8
4
8
8
1
1
0
0
0
4
4
0
0
0
48
8
8
8
8
0
32
2
0
0
0
0
0
8
0
0
2
4
16
16
16
1
1
0
16
1
0
0
16
0
0
4
0
0
0
0
0
16
2
0
0
3
3
8
8
8
16
8
0
0
0
0
0
0
8
8
16
0
32
32
32
12
0
0
0
1
1
0
0
16
16
8
16
0
0
0
0
0
0
16
16
16
0
8
0
0
0
0
1
1
16
16
0
0
0
0
16
0
0
16
8
24
0
5
16
16
16
0
4
0
0
0
0
4
4
4
0
16
0
8
4
0
0
0
4
16
16
16
0
0
33
32
16
16
16
16
0
8
8
16
16
0
8
16
0
16
0
0
0
0
8
8
0
0
0
8
0
0
0
8
8
0
0
0
8
8
2
8
16
16
1
0
16
16
8
1
0
0
2
2
0
0
0
0
4
0
35
35
1
1
1
8
8
4
0
2
2
16
0
32
0
0
8
2
0
12
8
8
8
8
0
1
0
0
0
4
4
0
0
0
4
0
8
8
8
8
16
0
0
8
13
13
24
8
1
8
1
0
9
0
0
16
16
16
24
8
8
8
8
0
0
8
8
8
8
8
8
0
0
12
0
0
8
8
32
32
0
16
0
8
0
26
0
0
0
0
20
20
20
8
0
16
8
0
2
4
32
32
8
2
2
16
8
8
0
0
17
0
8
8
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
17
32
0
2
4
4
2
0
0
40
8
8
8
16
12
4
0
0
0
0
0
0
8
16
8
8
8
8
8
16
4
4
0
12
12
12
0
0
4
4
4
8
0
0
0
0
20
16
5
5
10
10
16
17
0
16
0
16
8
37
29
29
12
4
4
4
16
0
8
8
24
32
32
0
1
1
0
0
1
2
6
6
6
6
0
24
41
40
8
8
8
0
4
12
8
8
0
0
8
0
8
8
8
0
16
0
4
6
4
2
0
0
16
16
16
0
0
0
4
4
24
0
16
8
8
8
0
2
2
16
16
4
8
8
16
16
16
0
0
0
0
16
16
0
0
0
0
0
0
0
61
0
0
24
24
8
0
0
0
16
24
8
8
0
0
4
0
0
8
24
0
0
8
0
8
8
8
0
16
16
8
8
8
1
1
1
8
8
8
0
0
0
16
8
16
4
4
4
0
8
8
0
24
16
0
0
8
4
0
8
8
8
8
8
0
8
0
0
8
0
2
0
0
20
0
0
0
0
1
0
0
8
0
0
0
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
9
9
9
4
4
4
4
4
4
4
16
16
12
1
1
1
1
1
16
0
0
16
0
0
22
22
22
0
0
0
2
2
2
16
0
0
20
8
8
17
17
0
8
0
4
0
16
24
24
1
1
1
1
1
18
16
4
4
8
1
1
0
0
16
16
0
4
16
8
0
20
0
28
4
8
0
0
0
16
16
8
0
0
0
0
0
24
0
0
0
32
4
16
4
4
4
4
2
0
8
0
4
0
0
2
16
0
16
16
0
8
8
8
8
8
8
16
8
0
10
24
24
0
1
16
16
16
16
16
16
1
8
8
0
0
0
25
25
20
0
35
0
0
0
0
0
0
0
0
1
8
8
8
12
0
4
16
16
16
16
16
16
8
8
12
12
24
8
8
1
1
16
16
8
8
2
2
1
16
8
8
11
0
0
4
8
8
16
16
8
0
0
0
16
0
4
4
4
9
9
9
9
0
8
0
8
16
8
0
0
16
16
16
24
24
0
0
0
0
32
32
32
32
16
1
1
16
0
0
0
0
8
24
4
4
4
0
8
8
0
0
0
0
0
0
8
8
8
6
8
8
0
0
0
38
4
16
2
0
0
0
10
4
16
0
0
2
5
16
16
16
0
0
9
32
32
0
16
0
8
2
2
0
0
0
0
8
8
8
0
16
24
1
1
1
1
1
1
16
16
16
20
20
16
16
16
16
16
16
16
16
32
32
32
4
4
4
4
4
4
16
16
8
4
16
16
32
0
0
8
2
8
18
22
0
0
0
0
0
0
0
8
8
0
0
0
4
8
8
8
0
4
4
8
0
0
8
0
0
0
0
0
0
8
9
8
8
8
16
2
2
2
2
16
16
16
0
0
0
8
8
4
4
4
2
1
1
1
1
4
4
8
8
2
2
16
2
0
0
41
16
8
0
0
8
16
4
24
15
15
24
24
1
1
1
0
4
4
4
4
4
0
0
16
0
0
0
16
0
8
8
0
0
4
0
1
4
4
8
8
8
8
8
8
8
8
8
42
42
0
0
1
16
16
16
8
0
0
0
0
4
16
16
4
4
2
2
16
0
0
8
8
8
8
8
8
8
8
0
0
0
8
24
4
16
16
0
16
16
16
0
0
0
0
0
0
0
0
0
1
1
0
9
9
1
1
8
0
1
1
4
4
4
0
0
36
36
0
0
8
20
16
8
8
8
0
0
0
30
0
0
0
0
0
0
0
16
16
0
0
4
8
0
8
0
2
0
8
0
0
2
2
6
6
1
2
2
8
8
4
16
8
8
8
8
8
8
0
0
20
2
2
16
16
0
24
4
4
17
17
2
2
2
2
0
24
9
0
4
4
32
8
8
16
16
16
16
16
0
20
4
4
4
32
32
32
4
8
8
8
8
8
8
8
0
0
8
8
0
0
17
16
16
0
16
20
16
16
16
16
16
0
2
0
0
0
0
32
32
0
0
0
0
16
0
8
0
0
0
0
0
0
8
8
8
4
2
2
2
4
0
1
1
16
16
8
0
0
0
0
0
0
8
12
8
8
8
1
4
2
2
4
4
4
8
0
4
0
16
1
32
32
32
32
8
8
16
16
0
0
8
8
8
8
10
16
16
1
16
16
6
0
16
16
16
16
16
16
0
0
13
16
13
13
16
16
16
16
1
0
0
4
4
8
8
0
0
16
16
8
0
0
1
16
0
1
4
21
16
8
8
0
0
0
0
0
0
8
16
16
16
16
32
16
16
8
16
8
8
8
8
8
12
0
0
0
1
1
8
8
8
0
0
0
0
0
8
16
16
16
16
0
0
16
16
8
8
8
8
8
1
1
1
0
0
0
0
0
0
0
0
16
0
0
0
16
16
16
0
0
8
2
2
2
0
8
16
16
16
8
8
0
0
4
0
0
0
0
4
0
8
8
0
0
8
3
1
0
0
4
48
28
16
2
2
8
8
8
16
2
16
0
48
1
1
16
24
16
16
8
16
16
16
0
10
0
16
0
32
24
20
16
1
0
0
0
0
16
0
0
12
4
4
4
4
22
22
17
17
17
17
17
17
16
16
16
16
16
16
16
1
1
4
4
4
8
32
32
8
8
16
16
4
4
0
16
16
16
0
0
0
8
8
18
0
8
12
0
0
2
0
0
0
0
20
0
32
32
32
32
16
0
16
16
16
8
4
8
8
8
16
16
0
0
16
8
1
1
1
4
24
24
0
8
2
16
16
54
8
0
0
0
16
0
0
0
16
16
16
16
0
16
4
4
32
16
8
8
16
16
0
0
0
8
0
0
44
16
8
8
2
8
8
52
0
0
16
0
8
4
4
4
8
16
48
48
16
16
16
1
1
1
1
8
8
0
16
16
24
24
24
0
0
0
16
0
8
12
12
12
16
24
24
40
16
16
0
0
0
8
0
18
2
8
8
8
0
0
8
8
16
16
16
8
32
8
1
0
24
0
2
8
8
0
8
8
1
1
1
0
8
8
12
22
22
8
0
7
7
7
7
7
7
0
0
1
4
4
17
17
17
17
17
17
17
17
17
0
8
0
0
10
10
10
50
8
8
36
24
16
4
4
4
8
0
0
8
8
0
8
8
0
8
8
8
16
16
16
16
0
8
8
0
16
0
0
13
1
4
8
8
8
16
16
8
8
8
8
8
0
8
16
16
16
20
4
4
4
4
4
4
4
4
4
16
16
16
4
8
0
4
0
0
0
0
0
0
8
8
8
8
8
8
8
1
16
8
4
0
2
2
0
0
0
16
0
0
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
0
0
0
0
32
16
0
0
0
0
4
16
16
16
0
0
0
16
16
4
4
0
16
1
8
1
4
4
8
16
16
16
16
0
56
56
4
8
16
16
0
4
24
24
0
0
24
24
1
1
1
0
0
0
8
16
0
0
0
16
10
16
16
0
0
0
4
8
8
8
0
0
5
5
5
5
5
8
8
0
0
8
8
8
2
0
0
0
8
8
3
0
0
8
0
0
0
0
0
0
8
8
0
0
8
0
0
0
0
0
0
0
0
0
4
16
16
16
8
2
16
16
8
8
16
0
16
16
0
0
4
4
4
8
32
32
8
0
32
0
0
1
12
8
8
8
8
8
8
4
4
4
4
0
16
16
16
0
0
8
0
17
16
16
6
8
8
6
48
32
24
1
12
16
8
16
16
16
4
16
0
0
16
16
0
8
8
16
0
4
0
8
8
2
2
16
32
0
16
16
16
16
4
8
8
8
8
8
0
0
0
0
0
16
16
16
16
8
8
8
8
8
8
0
0
4
4
4
4
0
0
0
8
8
24
24
24
24
24
24
24
24
24
24
24
24
0
2
4
4
1
0
0
8
16
16
16
16
8
8
8
8
8
8
16
0
0
20
0
0
0
16
16
1
1
1
1
1
0
4
18
0
0
0
8
8
8
16
0
24
20
16
16
16
8
0
8
8
8
4
0
1
0
0
0
4
4
24
2
0
0
2
16
16
16
0
0
0
0
8
2
0
0
0
0
24
24
24
24
24
0
0
0
0
9
8
0
0
0
8
16
16
0
4
4
4
4
4
4
4
16
16
8
8
8
16
16
4
16
16
0
8
16
16
16
16
8
8
8
8
16
0
0
0
0
0
0
0
16
8
8
0
0
0
32
1
8
0
0
4
0
0
0
0
1
16
29
21
3
0
16
0
0
2
2
0
0
0
0
0
0
0
0
1
1
1
8
0
0
0
8
8
0
0
16
16
1
0
0
0
8
4
4
0
16
16
16
4
4
20
0
5
48
56
56
56
16
20
4
4
0
16
16
16
16
4
4
4
20
0
8
8
0
0
0
0
0
8
16
16
0
0
0
8
0
0
21
20
20
1
5
12
12
5
5
0
0
0
0
0
0
16
16
16
16
16
0
0
0
0
0
8
8
8
8
8
8
8
8
8
16
0
0
0
8
0
32
32
32
0
0
0
0
0
0
16
50
16
0
1
1
1
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
48
4
4
0
8
4
4
16
16
32
0
32
16
16
16
16
8
0
8
8
0
0
16
0
0
0
4
0
8
0
0
0
32
16
8
8
8
8
8
4
8
24
8
8
0
0
1
8
1
0
17
17
0
0
0
1
0
0
0
0
0
0
1
24
2
2
2
16
16
16
16
16
16
8
8
2
2
2
2
2
16
0
0
0
0
8
8
8
16
16
16
16
0
8
1
4
16
16
16
16
16
16
16
16
16
16
32
8
4
4
16
16
24
16
16
16
16
0
0
16
8
0
0
7
0
16
16
16
16
33
33
0
20
8
1
1
32
32
0
0
0
8
8
0
0
17
0
4
16
8
8
8
1
1
0
16
20
20
18
0
0
0
0
16
10
8
8
26
26
16
16
20
4
4
24
24
8
0
0
0
0
0
24
24
24
6
6
16
16
8
0
0
32
32
32
4
8
16
0
0
0
0
0
8
8
8
8
1
1
16
16
24
24
0
24
16
24
24
0
0
0
8
0
1
0
12
4
8
8
9
0
4
32
0
0
2
2
2
0
1
8
0
0
33
33
16
0
8
8
8
0
0
0
4
4
4
8
0
22
16
4
0
0
0
16
16
16
16
16
16
16
0
0
0
8
0
0
0
0
1
1
9
8
0
16
16
16
16
8
0
8
8
8
16
16
16
16
0
0
0
1
1
1
16
1
16
16
16
16
16
16
16
16
0
4
4
4
8
10
8
8
0
0
41
2
16
0
8
2
0
1
0
0
0
0
16
2
40
2
2
0
0
0
1
0
0
0
0
16
0
24
1
0
0
8
8
8
22
22
22
22
8
40
0
0
0
0
16
0
0
16
0
1
4
0
0
0
0
8
16
0
0
0
16
16
18
18
18
24
24
24
24
8
0
0
4
4
4
8
8
8
4
0
8
0
0
0
10
28
2
0
1
1
2
0
4
0
0
0
32
0
0
6
9
0
1
17
0
0
0
4
4
4
0
1
0
0
0
0
0
0
1
16
16
24
24
24
8
40
40
8
8
10
8
0
24
4
4
5
8
8
0
0
5
5
5
8
16
16
16
16
8
0
0
0
1
1
32
32
0
4
4
4
0
16
16
2
2
0
0
0
0
0
0
26
26
8
1
1
2
8
8
8
30
8
18
18
0
0
16
0
16
4
4
8
8
8
0
8
1
16
17
4
0
0
25
16
16
16
16
0
0
2
12
0
32
32
35
8
8
8
8
16
8
0
0
0
1
8
1
8
8
4
0
16
4
4
4
8
4
4
4
8
0
0
0
0
0
2
0
0
0
0
0
8
0
0
8
8
8
8
8
0
16
0
0
0
0
16
16
16
16
16
44
4
4
0
16
0
0
0
0
0
16
16
32
32
0
0
0
16
16
16
8
8
0
0
0
42
42
24
16
16
16
16
16
16
8
0
0
8
8
8
2
24
24
8
16
0
8
2
2
16
4
0
0
8
16
0
16
8
8
16
8
8
8
8
2
2
0
0
0
16
0
8
8
8
8
4
24
0
0
8
20
8
8
8
8
8
8
8
8
0
4
0
0
0
0
4
2
2
16
16
4
16
16
16
0
0
0
0
20
0
0
24
0
24
0
4
0
1
1
16
0
16
8
8
4
16
16
16
45
45
8
16
0
0
4
8
32
32
0
8
0
0
0
1
1
1
8
8
8
0
1
8
0
2
8
0
8
8
0
16
16
16
16
16
0
12
8
8
16
16
8
8
2
0
16
16
28
2
24
24
0
4
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
8
2
2
2
2
9
9
0
30
2
0
16
0
0
0
0
4
0
0
0
0
0
10
2
0
0
8
22
8
12
12
12
12
0
16
1
1
8
8
0
0
0
0
8
8
8
8
8
8
8
0
8
4
4
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
0
8
8
8
8
0
0
0
0
16
16
8
8
8
8
0
0
0
13
9
9
9
16
8
0
2
0
0
24
10
0
16
0
0
0
0
0
0
8
16
16
16
16
1
1
16
16
8
10
8
16
0
4
40
36
8
8
8
8
8
0
0
2
8
0
16
16
32
0
1
17
17
33
16
0
0
16
0
8
8
11
0
8
4
0
0
4
8
8
8
8
8
1
1
0
16
0
4
8
8
8
0
16
16
16
16
24
2
8
8
17
0
0
0
0
0
8
8
4
4
0
0
0
0
8
0
16
0
0
0
0
8
16
48
48
0
0
16
16
16
1
1
16
16
16
1
8
0
8
8
8
8
16
16
0
0
8
0
4
8
0
0
0
2
8
8
0
0
0
16
52
2
0
0
0
0
0
0
0
0
0
0
8
0
0
0
8
2
2
2
0
28
8
8
8
16
16
4
8
0
0
0
0
0
0
8
0
0
0
0
16
16
1
0
0
1
16
4
0
0
0
8
8
8
16
16
16
16
8
16
8
0
32
32
0
16
8
8
0
16
1
16
16
0
0
0
0
0
0
0
0
8
1
1
0
4
1
32
32
32
9
1
8
8
8
16
17
17
17
0
0
0
0
8
8
8
8
0
0
0
0
32
12
12
12
1
0
10
8
8
44
44
20
0
0
24
0
0
1
1
1
1
32
32
16
4
4
0
16
16
16
0
8
8
8
8
8
8
8
8
8
0
1
4
0
18
18
18
18
16
8
8
0
8
8
8
0
0
0
4
16
0
0
0
0
25
2
2
2
16
2
4
8
8
0
2
0
0
0
16
16
2
2
0
16
8
8
8
4
0
8
8
32
32
32
32
32
32
32
8
0
0
0
5
5
5
5
8
0
0
0
8
8
8
8
0
27
30
30
30
8
8
8
8
8
8
8
8
0
0
10
24
16
0
0
0
0
1
0
0
0
0
8
0
14
0
32
0
0
0
0
32
0
0
0
0
0
16
8
8
8
0
0
0
0
18
0
8
8
1
1
0
0
0
0
16
12
8
4
40
16
0
0
16
16
16
0
0
1
16
8
8
8
0
0
0
8
1
0
4
32
16
16
8
41
8
8
33
8
8
8
0
8
9
20
26
16
8
8
8
1
0
8
8
17
17
17
17
24
24
24
24
0
8
8
4
8
16
16
0
4
4
8
0
0
0
0
8
0
8
0
25
25
8
0
0
0
9
1
16
16
8
8
8
2
32
1
8
0
8
4
8
8
8
0
0
16
22
0
16
1
1
1
16
40
0
8
16
11
16
8
0
16
16
0
16
2
16
8
8
8
0
8
8
8
8
8
8
8
0
8
8
8
8
0
16
1
8
0
0
16
2
4
8
8
2
0
0
0
32
32
32
0
0
1
32
32
8
0
4
1
1
18
0
0
0
0
16
16
16
8
0
0
0
0
0
4
1
0
16
6
4
4
8
8
0
4
24
16
6
6
5
0
1
1
0
0
0
1
1
24
24
16
2
16
1
1
28
0
8
8
9
8
8
16
8
0
0
16
21
0
0
4
0
0
26
26
8
8
0
8
8
0
4
8
0
8
8
2
16
0
0
0
0
0
8
8
32
8
8
16
8
16
16
1
8
8
8
8
0
16
16
8
8
1
0
0
0
0
0
0
0
0
8
28
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
8
8
8
4
4
8
16
8
8
16
8
16
16
16
16
8
2
8
8
8
48
32
8
2
0
0
0
4
8
8
8
8
8
9
9
9
0
0
0
0
8
8
8
8
60
60
1
20
20
8
8
8
0
0
8
8
4
1
16
8
8
8
8
16
0
0
0
0
0
0
0
16
16
16
16
16
16
16
16
16
4
4
4
4
8
0
16
8
8
0
0
16
0
0
0
0
26
0
8
16
0
4
0
0
0
0
8
0
0
0
0
0
0
0
0
8
8
8
18
16
0
0
0
0
0
0
0
0
0
16
1
2
2
2
16
0
1
1
8
8
9
9
8
0
2
3
3
24
8
35
8
9
9
0
0
0
0
0
0
8
8
8
8
8
8
6
2
0
0
20
24
4
0
1
1
16
16
8
8
2
16
8
8
8
8
4
4
16
16
8
8
0
0
0
8
8
8
8
9
16
4
0
0
0
0
0
0
16
0
16
8
8
0
10
10
16
16
8
16
1
1
8
0
0
8
0
0
0
32
32
0
1
1
8
8
8
0
0
0
29
4
4
4
4
0
0
0
16
16
10
22
8
0
0
0
0
0
0
0
0
0
16
0
16
16
16
16
24
16
0
0
0
0
0
0
20
8
8
8
0
0
0
0
0
0
0
0
8
8
8
8
8
8
8
3
3
3
3
3
3
3
3
2
1
24
24
16
8
8
8
8
8
0
0
0
0
0
4
4
8
0
8
8
4
16
8
8
0
0
17
17
0
8
24
8
8
8
8
8
0
16
16
16
16
16
16
16
16
16
16
6
8
8
0
16
16
16
16
16
0
4
16
16
16
16
1
16
2
1
1
1
1
0
0
0
0
8
8
8
8
0
16
16
16
16
1
1
1
8
0
25
0
10
0
0
0
0
16
1
1
0
0
8
8
8
8
8
16
0
0
0
16
1
0
8
1
1
1
1
0
0
0
24
0
0
0
16
16
16
0
0
0
0
2
16
16
0
0
0
8
0
8
18
8
0
0
8
8
0
8
8
8
0
1
8
8
8
8
8
16
16
2
1
1
1
8
8
8
8
0
0
0
0
4
4
0
0
8
8
24
24
24
16
16
8
8
8
0
2
2
0
16
16
8
8
8
8
8
8
8
32
0
0
16
16
0
4
8
4
16
16
8
0
0
12
0
0
8
2
2
0
16
16
16
16
0
0
0
0
24
24
24
0
8
4
0
0
0
0
0
4
2
2
2
2
2
2
2
8
8
0
0
0
0
0
0
2
1
4
4
33
33
2
18
8
8
8
0
0
2
16
24
20
1
1
1
1
1
0
0
8
4
0
27
27
27
0
0
0
16
16
16
0
0
0
16
16
0
0
12
0
0
0
0
0
8
8
8
8
1
0
16
4
4
2
2
2
2
2
2
2
2
2
2
0
32
32
32
40
0
0
24
8
0
4
4
16
16
0
0
0
0
0
0
0
0
2
2
2
16
16
16
8
8
32
32
32
2
8
0
0
0
16
16
16
4
16
0
0
0
4
1
2
2
0
0
0
0
12
0
8
18
24
8
8
4
2
20
4
8
1
1
1
1
1
16
0
0
24
24
16
16
0
0
16
16
16
8
8
8
16
8
0
0
0
8
0
0
2
2
44
8
12
8
8
0
16
16
0
0
0
16
16
0
0
0
4
4
4
4
8
8
8
1
8
0
0
8
8
0
0
0
0
4
4
4
32
0
0
0
0
16
16
16
16
16
16
8
0
16
0
4
4
4
4
8
8
8
16
16
8
8
8
8
8
0
16
1
1
16
16
0
0
0
1
1
16
0
16
16
16
2
16
0
0
16
16
0
0
16
0
17
9
9
1
2
8
0
0
8
0
0
16
0
24
16
2
8
8
24
0
0
0
12
28
16
9
9
8
1
1
16
0
8
8
8
24
0
16
16
16
16
16
16
16
16
0
0
0
0
8
8
0
2
0
1
0
0
8
8
16
0
0
0
0
0
48
0
8
8
8
8
8
0
48
48
20
20
0
8
8
16
16
8
8
8
8
16
0
16
16
8
0
0
8
8
16
0
0
0
1
1
1
2
2
2
0
0
0
8
0
0
0
0
0
0
16
16
16
8
0
0
0
24
0
4
4
4
4
4
4
0
0
0
0
16
16
0
0
0
0
8
8
0
0
0
0
0
0
32
32
32
16
16
1
4
2
2
8
0
16
12
8
8
8
8
8
4
0
1
0
0
0
0
0
0
0
0
4
0
0
8
16
16
16
16
0
0
16
16
16
16
16
16
2
2
32
1
1
8
8
0
0
0
0
0
24
8
8
8
8
8
8
16
0
0
8
16
24
0
8
8
8
20
20
20
1
16
2
8
8
8
8
8
8
16
0
0
8
16
16
16
4
4
4
1
8
2
0
0
0
8
8
0
0
8
8
8
0
0
16
16
16
8
8
0
0
0
8
8
8
0
4
8
2
0
32
32
32
32
1
1
0
0
8
8
8
0
0
24
24
0
0
0
0
0
0
0
16
16
16
32
32
0
8
4
4
4
28
28
0
0
0
0
21
8
32
0
0
0
8
8
8
8
8
8
2
5
5
5
5
5
0
0
0
0
0
0
25
25
0
0
24
8
3
0
0
1
8
16
37
37
8
8
8
8
16
16
4
0
16
48
48
0
0
0
0
0
0
0
16
16
8
8
2
16
16
0
8
16
1
8
8
8
4
4
8
8
18
16
8
8
0
0
10
2
8
0
1
8
1
0
1
1
0
0
0
16
16
0
8
8
8
18
8
8
8
8
0
0
0
0
0
8
16
16
0
8
30
4
4
0
0
0
8
50
8
8
8
16
16
8
8
3
0
0
0
8
8
8
8
8
8
48
1
8
8
8
0
1
8
8
8
8
8
0
8
8
8
0
8
8
0
9
9
0
0
0
0
0
0
16
0
0
0
0
0
1
1
4
16
0
0
0
17
8
8
8
8
16
0
8
8
8
8
8
16
0
16
16
16
3
2
8
8
8
8
8
8
0
16
16
0
2
2
2
0
22
0
16
16
16
8
16
5
0
0
0
0
0
2
36
52
16
16
16
8
8
8
0
4
0
0
0
0
0
2
2
2
2
0
0
0
16
0
24
4
0
0
4
8
8
8
0
0
16
2
16
0
4
4
8
8
16
16
16
0
0
0
4
8
8
8
8
16
8
16
16
16
8
8
8
8
8
0
16
16
4
4
4
4
4
4
4
0
4
4
8
0
0
2
8
8
0
0
2
8
8
8
4
8
8
8
0
16
24
16
16
4
8
8
8
8
8
16
0
8
8
0
16
8
8
0
0
0
33
4
4
8
16
0
0
16
16
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
8
16
16
20
16
0
8
1
1
1
1
4
4
4
4
8
8
8
0
0
0
0
0
4
0
2
16
16
16
0
0
40
1
4
14
0
8
19
0
0
0
8
0
0
8
8
8
8
8
8
8
32
24
24
24
16
16
16
8
0
0
4
8
8
18
18
0
18
8
27
0
8
8
2
0
0
8
0
0
16
8
16
8
8
8
0
0
16
0
1
1
1
16
16
16
8
8
0
16
1
0
8
16
1
8
8
16
17
0
0
0
0
0
16
16
8
8
16
16
16
0
0
8
0
8
8
8
16
4
4
32
16
16
0
8
8
0
0
0
16
16
9
9
9
9
16
16
0
16
16
20
4
4
4
4
0
0
8
8
0
1
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
40
40
8
8
8
8
8
0
8
1
1
0
8
0
0
0
0
8
8
8
8
0
0
4
0
16
0
10
10
10
8
8
8
8
8
16
16
8
8
8
8
16
8
16
0
0
0
0
0
2
2
2
2
0
0
0
16
16
16
16
0
26
26
8
8
0
24
24
0
0
0
0
0
0
0
0
9
8
8
8
24
8
8
1
8
16
16
16
16
16
8
0
0
0
0
0
0
1
8
0
16
16
2
16
8
16
16
1
2
1
1
1
1
0
8
8
0
0
0
0
8
1
8
8
3
3
0
0
8
16
8
4
4
8
8
8
8
8
8
8
0
0
0
0
4
4
32
0
0
0
0
8
0
0
0
0
0
0
42
0
16
16
0
0
16
6
0
0
24
4
16
32
32
32
4
8
16
4
4
1
1
4
8
2
8
8
1
0
0
10
4
8
4
32
16
16
16
16
16
2
16
8
8
8
8
8
2
2
2
2
0
0
18
18
8
8
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
4
4
8
28
28
16
0
0
8
0
0
0
0
0
0
0
0
9
27
8
8
8
8
8
8
4
1
1
1
0
16
38
16
0
16
16
16
16
8
8
8
8
16
16
0
8
8
0
0
0
8
8
0
0
0
2
0
0
0
0
16
16
0
8
8
8
8
8
8
8
8
8
16
16
16
0
8
8
2
2
4
8
0
8
1
1
4
16
16
8
16
16
16
19
19
19
19
0
12
0
0
0
8
8
16
16
4
4
0
16
3
8
8
8
1
12
12
13
8
8
5
1
16
16
16
16
16
8
8
0
1
8
0
0
0
8
8
8
8
32
8
8
32
0
0
16
16
16
8
8
16
0
0
0
0
0
0
0
4
4
0
3
3
3
6
6
2
4
4
4
0
0
0
0
16
16
16
16
16
4
0
0
0
16
16
16
16
16
16
16
8
0
8
8
8
1
0
0
4
8
20
20
32
32
4
25
0
8
3
3
3
16
16
16
2
8
8
8
16
0
0
8
8
8
8
8
8
0
0
0
8
0
16
16
0
0
1
4
0
0
0
40
2
4
0
1
0
48
4
0
32
0
0
0
0
0
0
0
0
8
8
8
16
24
16
16
16
16
1
2
4
4
16
24
24
24
8
0
1
16
16
0
0
8
8
8
0
16
0
2
0
0
0
0
0
2
8
0
0
0
0
0
1
1
1
1
1
1
1
1
1
0
0
8
2
2
16
0
0
0
0
0
0
16
16
16
0
12
12
16
8
8
0
2
22
2
24
16
8
8
0
0
0
2
0
0
16
16
16
16
0
2
0
0
2
2
8
0
0
0
8
0
0
0
1
1
1
1
1
16
16
12
8
4
4
8
8
8
16
16
20
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
8
16
16
16
8
2
2
0
12
12
12
0
12
12
12
12
5
4
4
4
24
24
8
8
8
4
4
18
18
18
0
4
24
0
0
0
0
0
17
17
17
5
5
5
1
0
4
4
4
20
0
0
0
0
0
0
0
0
8
2
0
2
8
32
0
8
8
32
4
4
4
4
8
8
16
16
0
0
0
1
1
16
0
1
0
0
16
18
18
14
8
17
1
28
28
28
28
28
0
0
0
24
0
0
16
0
0
0
16
0
0
0
16
16
1
8
0
4
0
0
0
0
0
0
0
0
4
8
24
10
0
18
16
0
8
4
4
4
0
16
45
8
8
8
24
16
16
0
4
8
1
8
8
0
4
4
16
8
1
1
1
1
1
32
40
16
16
16
16
16
8
8
8
8
1
0
0
0
0
0
0
1
1
1
1
1
0
16
1
1
0
0
0
0
8
0
8
2
0
0
8
16
8
8
1
8
16
32
32
32
8
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
0
0
20
20
0
0
0
0
16
8
8
8
8
8
32
8
16
16
16
0
0
0
0
8
8
1
8
8
0
0
0
0
0
1
16
16
8
1
1
1
2
0
8
8
8
8
0
0
0
47
8
4
4
4
4
0
16
32
32
32
8
8
8
0
0
0
0
0
0
2
4
4
4
4
0
18
18
0
24
0
0
0
0
0
16
16
8
0
0
0
0
28
40
0
1
0
4
32
30
30
16
8
4
4
16
0
0
0
0
24
8
0
2
8
16
0
0
0
0
1
1
1
1
9
2
2
2
0
0
12
12
8
8
18
0
8
0
0
0
0
0
43
43
43
0
8
0
1
24
24
16
16
16
16
4
4
9
4
4
8
4
4
0
8
16
16
16
0
0
0
0
0
0
0
8
8
8
0
0
0
16
8
8
16
0
0
0
1
1
1
1
1
0
0
8
16
28
28
0
0
8
8
8
18
18
2
0
8
16
16
17
16
16
2
24
24
24
24
0
8
8
1
1
1
1
1
1
1
8
8
8
2
1
1
45
45
45
45
16
16
0
0
0
0
0
0
0
0
0
8
8
0
0
0
8
4
0
0
0
8
28
0
0
16
4
0
0
0
0
4
4
20
4
4
1
0
24
1
1
1
8
8
8
8
0
0
0
16
0
0
1
16
16
4
12
12
12
13
0
0
4
20
0
12
4
16
16
0
8
8
8
8
0
0
0
0
1
0
8
16
0
0
0
8
8
0
0
0
2
0
8
8
8
0
16
0
16
4
20
8
8
8
16
16
8
1
8
0
0
1
1
1
1
1
1
1
8
16
0
28
28
28
0
0
0
0
0
0
0
0
0
0
4
3
0
8
8
8
8
4
8
2
6
0
0
0
0
8
8
8
0
16
8
8
8
0
0
10
10
10
8
10
10
10
0
8
24
8
0
16
16
0
12
18
18
0
8
8
8
1
8
0
0
2
2
2
2
20
0
0
16
16
2
16
16
9
0
0
0
0
16
40
8
8
8
8
8
8
8
50
50
8
0
0
8
8
8
0
0
0
16
1
4
0
16
23
22
16
32
32
0
20
2
2
2
2
2
2
2
8
16
20
8
13
13
32
32
32
16
0
0
0
0
8
8
0
8
0
0
8
8
0
0
0
32
0
0
8
3
16
32
8
8
0
0
2
0
0
24
16
8
0
8
36
36
0
16
16
16
16
0
4
4
4
0
1
1
0
6
8
8
8
16
32
32
5
0
16
6
8
0
4
4
8
0
0
0
16
16
16
16
16
4
16
16
4
0
8
8
4
4
4
4
4
4
0
1
1
1
1
16
16
16
0
0
0
16
16
16
2
4
4
0
1
0
16
0
8
8
8
10
0
1
1
1
1
0
0
0
0
8
8
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
16
16
16
16
16
16
16
16
16
16
8
0
0
0
0
0
0
0
0
32
4
0
2
2
16
21
0
8
8
8
8
4
4
4
16
6
6
6
0
0
0
0
2
2
2
33
1
12
12
12
17
16
4
4
0
8
9
9
1
1
1
0
17
17
1
1
0
8
8
8
8
8
1
0
8
8
8
8
4
4
4
16
16
16
0
0
8
0
0
0
0
16
16
16
16
16
16
16
16
16
16
16
16
0
0
1
24
24
24
0
0
1
1
1
1
0
0
2
0
0
0
0
8
8
8
8
8
8
8
0
0
0
4
4
28
40
0
0
0
0
0
0
0
0
4
2
0
18
18
18
18
0
8
4
4
4
8
0
16
16
16
0
0
0
2
8
16
1
1
0
0
0
18
0
0
0
16
50
15
4
16
16
16
16
16
0
0
0
17
0
1
3
0
8
8
16
2
2
0
0
0
0
2
2
0
0
0
16
16
16
16
8
16
16
8
16
16
0
0
16
16
8
0
8
8
0
0
4
4
0
0
0
0
8
8
4
4
4
0
2
2
0
4
0
4
8
8
8
8
8
8
4
1
1
0
8
0
0
0
8
0
1
8
8
0
0
0
0
8
16
16
0
0
32
32
32
32
8
8
8
8
8
1
1
16
0
0
16
16
0
0
0
1
1
16
16
16
16
16
16
16
16
2
8
8
0
1
1
1
1
16
0
0
16
0
16
0
1
17
8
0
0
0
8
0
36
6
16
0
16
16
0
1
16
0
0
0
0
0
0
0
0
0
1
4
8
0
0
0
0
0
0
0
0
0
8
4
4
0
0
0
16
0
0
0
8
8
8
32
32
16
16
16
16
16
0
0
0
7
2
0
0
0
0
0
0
2
0
16
8
8
0
0
4
4
4
4
17
17
17
17
17
8
8
5
0
0
0
0
0
0
16
4
4
4
4
0
0
8
8
0
0
4
0
8
8
0
45
45
16
0
0
1
0
0
8
0
0
0
8
0
8
4
4
10
0
0
0
8
8
8
26
26
0
0
0
16
2
16
0
24
24
0
8
0
16
8
0
0
8
0
0
24
0
0
24
2
2
2
0
0
12
12
12
0
4
6
0
0
8
8
8
0
2
0
17
17
0
8
16
0
4
4
0
2
2
0
0
0
1
1
0
4
2
9
8
0
16
0
8
8
0
33
56
56
56
8
4
8
0
0
16
1
0
0
0
16
56
2
0
0
0
0
0
32
26
26
26
0
0
0
8
4
0
0
4
0
0
16
0
8
16
16
16
0
0
32
32
32
0
1
0
0
1
1
0
0
16
4
4
4
4
0
0
0
8
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
1
9
0
0
0
0
0
0
2
2
2
0
16
16
4
0
0
0
0
0
0
0
0
0
0
0
1
0
8
0
0
6
0
0
0
0
0
0
0
4
4
0
0
8
8
0
0
0
0
32
8
0
0
0
4
0
2
0
0
0
0
0
0
8
30
8
8
8
0
0
0
0
0
0
0
2
0
2
32
32
0
0
16
8
8
0
0
0
0
0
0
0
18
0
0
0
8
0
0
4
16
0
16
4
0
0
0
8
0
0
0
8
0
0
0
0
20
20
20
20
8
8
10
2
0
0
0
16
0
0
8
8
0
8
16
16
0
8
0
1
1
24
0
0
0
0
0
0
16
0
0
9
16
16
0
0
16
0
24
24
0
0
0
0
8
0
4
8
0
0
0
1
2
2
2
0
0
0
8
4
4
4
4
4
0
0
8
0
0
0
0
0
0
8
16
8
8
6
6
0
0
0
8
8
8
16
8
0
0
8
8
0
4
0
0
0
1
0
0
8
8
8
0
0
16
1
0
0
0
0
0
16
32
0
9
9
8
12
8
0
0
0
8
0
16
0
0
25
8
0
0
0
0
2
0
16
0
0
0
0
0
0
0
0
8
0
4
0
24
8
8
32
32
8
32
32
2
12
0
2
2
0
0
0
0
0
4
0
2
16
0
16
24
24
24
24
0
16
8
0
8
0
0
17
17
4
4
0
16
16
16
0
8
8
8
0
0
0
0
4
0
20
0
9
0
0
16
8
0
16
0
0
0
0
8
0
0
8
0
2
16
16
16
8
8
8
20
20
0
16
1
1
0
0
8
0
0
0
0
1
8
0
8
8
0
0
32
9
0
0
0
0
0
0
16
0
4
4
0
0
8
18
18
18
0
8
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
8
16
0
0
12
0
0
0
0
16
1
2
2
4
0
8
8
6
0
28
0
2
8
8
8
0
0
16
0
0
0
36
0
2
8
0
0
12
0
8
4
0
0
0
0
3
3
0
0
8
0
1
1
0
0
4
4
8
8
0
8
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
8
0
0
0
0
8
0
0
33
33
16
0
0
0
0
0
0
0
2
9
33
25
0
0
0
0
0
0
4
4
0
0
0
0
0
0
8
0
0
16
2
2
4
8
0
0
0
4
0
0
24
8
0
0
0
0
5
5
4
4
0
0
3
0
0
0
0
0
0
1
1
0
0
0
4
4
0
0
0
0
0
0
0
0
0
2
8
8
0
4
0
0
0
0
0
0
0
0
0
16
3
0
0
0
0
0
0
0
0
10
16
0
8
12
16
16
0
0
4
4
4
0
2
8
8
0
0
2
1
1
1
0
4
2
0
0
0
8
8
8
16
16
20
16
16
16
0
8
0
0
1
1
0
0
0
0
0
1
0
0
0
8
1
1
0
0
2
0
0
0
0
16
24
16
0
0
16
0
4
4
4
8
0
8
20
0
0
8
8
0
8
2
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
0
0
0
0
0
8
8
8
8
16
16
20
0
0
0
17
0
0
0
0
8
8
8
0
12
8
0
0
16
0
0
25
0
8
24
24
8
2
2
8
0
0
0
0
0
16
0
0
0
4
1
0
0
0
0
0
0
0
9
0
4
4
8
8
24
24
0
0
0
0
0
0
0
0
9
0
0
0
1
0
2
2
8
0
0
0
0
1
0
18
16
0
0
0
0
4
4
19
0
8
20
8
8
0
8
16
0
8
1
8
0
32
2
8
8
0
8
0
0
0
4
0
8
4
0
6
6
0
0
16
0
16
0
0
0
0
0
4
4
4
4
0
0
0
16
16
2
2
0
32
32
0
0
0
0
0
0
0
0
0
16
0
0
0
3
0
0
0
0
14
0
0
8
0
0
0
1
0
16
16
16
0
0
1
1
0
16
1
0
0
0
24
2
8
0
16
16
2
0
4
8
8
8
2
0
4
0
0
8
20
0
0
0
0
0
0
0
0
0
0
0
0
0
1
8
0
8
8
0
0
0
8
14
8
8
25
25
0
0
0
0
0
0
1
9
8
6
0
0
0
16
16
0
8
8
0
0
0
0
0
6
12
32
32
0
16
0
0
8
0
0
8
0
0
0
0
0
8
8
0
0
2
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
24
5
0
8
0
0
0
16
16
0
0
16
0
16
0
0
0
8
0
0
16
0
0
0
8
0
0
0
0
4
0
0
16
0
0
0
0
4
4
0
0
2
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
16
2
29
29
29
29
8
0
16
16
16
16
16
16
17
14
0
0
0
0
0
0
0
8
16
16
0
0
0
0
4
8
8
8
8
0
0
9
2
2
4
4
4
25
1
0
0
0
0
16
16
16
0
0
0
0
0
0
26
8
0
0
0
16
0
2
0
4
4
4
0
0
0
8
8
0
2
0
0
0
0
0
0
0
4
0
0
0
0
0
4
0
0
0
0
4
4
4
4
4
0
16
0
0
0
0
0
10
0
0
8
0
0
8
0
2
0
0
2
0
0
0
0
0
0
16
0
0
0
8
8
32
16
4
8
0
0
0
10
24
8
0
0
0
8
1
0
0
0
0
0
0
0
0
16
2
0
28
0
0
0
0
0
18
8
0
4
18
0
0
0
8
8
8
0
0
0
0
24
0
0
0
0
0
0
0
8
0
4
1
0
0
0
0
2
0
8
3
16
16
8
4
0
0
16
0
0
4
0
0
0
0
0
0
0
0
0
0
2
3
0
0
0
4
8
0
1
0
0
16
16
8
8
0
0
0
0
8
0
0
0
0
4
0
0
0
17
0
0
0
0
0
0
0
8
8
0
16
0
16
8
16
0
8
20
20
0
0
37
0
0
0
0
0
0
0
0
0
0
8
8
0
0
4
8
8
0
0
0
0
0
16
4
0
0
0
0
0
0
0
0
0
0
0
0
8
8
25
0
0
16
0
8
0
0
0
1
12
20
0
0
0
0
0
11
0
16
0
2
2
2
0
1
8
0
0
0
0
0
0
0
0
0
27
46
0
18
0
0
0
0
0
0
0
8
0
0
8
0
0
24
0
0
8
0
0
8
8
8
8
8
0
0
0
0
0
16
16
8
16
0
0
0
0
0
0
0
0
24
4
0
0
6
6
6
16
0
8
0
33
0
0
0
8
8
8
8
8
2
2
1
1
0
2
0
0
0
4
0
0
0
0
0
8
0
0
0
6
6
6
6
6
16
16
0
1
20
20
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
16
16
0
8
16
4
4
4
0
0
0
0
8
0
0
0
8
8
0
0
2
8
0
24
24
17
1
15
15
15
4
17
4
16
0
0
0
0
0
0
0
32
0
0
0
0
0
5
0
0
16
16
0
0
16
0
20
0
0
0
1
1
1
0
32
0
0
16
16
16
0
0
0
0
0
16
28
0
0
0
36
0
0
0
0
0
0
0
16
0
0
4
0
0
0
4
0
0
0
4
0
0
0
0
0
0
8
20
0
0
0
0
8
1
0
16
0
0
0
0
0
0
0
0
0
8
8
8
16
0
4
0
16
0
0
24
1
1
8
8
8
16
16
0
0
0
0
0
0
1
0
0
2
2
2
10
0
24
24
8
0
2
0
8
0
0
2
0
16
16
8
8
8
20
0
8
0
4
4
4
0
0
8
8
0
0
0
16
8
16
24
24
0
16
16
16
16
0
0
0
8
8
0
8
0
0
0
0
2
0
0
0
32
12
12
0
0
8
8
8
4
4
0
0
16
16
16
2
2
2
0
0
0
32
32
32
16
1
0
0
12
16
0
0
0
25
0
0
0
0
26
0
16
4
0
0
16
16
0
8
0
17
0
0
8
8
0
0
8
0
2
2
2
0
0
0
24
16
16
16
0
0
0
8
8
8
2
0
16
16
0
4
0
0
16
0
0
4
2
8
16
0
0
0
2
2
0
0
0
8
8
4
4
0
24
16
16
0
0
16
2
2
0
8
0
4
4
0
2
2
2
2
4
0
0
8
0
0
0
0
2
0
8
8
4
4
0
25
25
16
8
0
0
0
40
16
16
0
0
16
0
16
8
16
16
4
0
0
0
16
0
0
0
0
0
0
8
0
0
0
0
1
1
0
0
8
0
0
0
0
0
0
8
16
0
0
0
8
8
0
8
0
0
0
0
4
16
8
8
0
1
0
16
16
8
32
0
8
8
8
8
0
0
0
16
0
0
0
4
4
0
0
8
4
0
0
0
40
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
4
0
8
8
0
8
8
1
8
0
8
8
24
24
2
0
0
0
7
0
0
0
8
25
0
0
16
8
0
8
0
4
0
0
16
8
0
0
4
0
0
0
0
0
0
0
0
2
2
0
0
8
0
8
0
0
0
0
25
25
25
0
16
48
8
16
2
8
0
0
0
8
8
0
0
0
4
4
0
0
0
0
0
0
0
0
0
0
0
0
8
8
2
2
0
32
32
6
0
0
0
8
8
0
8
4
8
8
8
0
8
2
8
4
8
8
0
8
1
1
1
4
0
1
24
0
2
0
8
0
0
1
16
2
57
0
0
8
0
0
0
0
0
0
0
4
8
8
8
0
16
16
24
0
16
0
4
4
0
0
0
9
0
0
8
8
8
0
0
8
8
8
0
0
0
9
9
0
0
0
0
0
0
0
0
16
16
0
0
8
0
0
0
0
0
1
0
8
0
8
2
2
2
2
0
0
0
0
0
0
24
0
0
0
8
8
8
8
8
8
16
0
0
0
0
32
0
8
0
0
0
1
32
19
0
0
4
0
4
0
0
0
0
0
0
0
0
0
0
0
8
0
0
32
13
13
0
0
0
0
0
0
0
16
0
0
8
16
29
29
8
20
0
0
0
0
3
0
4
0
8
0
0
6
0
0
0
8
4
4
16
0
0
0
1
16
8
16
8
0
0
8
0
8
8
0
0
8
8
8
0
0
0
0
16
24
8
16
16
8
0
6
16
16
16
0
0
8
8
0
0
0
4
0
0
0
0
0
8
8
2
0
0
0
4
4
0
16
8
16
8
8
0
8
8
8
0
0
16
16
16
0
4
0
0
0
16
0
16
1
40
0
0
16
0
8
1
8
20
20
16
19
0
4
16
0
8
16
0
0
0
8
10
1
0
1
8
8
0
0
16
16
2
2
2
1
1
1
1
0
0
0
0
20
0
0
0
0
18
0
0
0
0
0
0
0
16
0
0
16
0
0
24
0
0
16
16
8
0
16
0
8
0
0
0
0
0
0
0
0
0
8
8
8
8
8
10
10
8
0
8
0
0
16
0
2
0
0
4
0
0
0
4
0
0
8
8
0
4
2
7
0
0
0
0
0
4
16
0
0
0
0
0
8
8
8
2
2
8
0
8
16
0
1
0
0
0
0
8
32
0
0
0
0
0
0
0
4
8
8
8
16
8
8
0
0
0
0
0
0
0
0
0
8
8
8
8
8
16
16
0
24
0
0
32
8
0
4
4
0
8
8
8
0
0
0
4
0
10
8
0
16
8
0
0
0
0
0
0
16
16
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
8
16
8
8
8
0
0
2
0
0
8
0
0
0
0
0
24
0
24
8
8
0
8
0
0
1
0
16
16
0
0
0
0
0
0
0
0
0
0
0
6
6
0
0
0
0
8
8
0
0
0
0
8
0
0
0
16
16
16
16
4
4
0
0
16
0
0
7
0
0
0
16
24
0
16
4
4
8
0
0
0
0
8
44
16
2
2
2
8
0
4
4
0
0
24
24
24
0
20
8
1
0
0
0
16
8
8
8
8
0
25
25
0
0
0
1
0
0
0
0
0
0
8
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
0
8
8
0
0
8
0
8
16
8
0
0
0
0
0
39
0
0
0
0
8
0
2
2
0
8
8
8
4
32
16
0
0
0
0
0
0
16
16
24
6
6
6
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
10
12
1
16
8
4
4
1
1
0
0
16
0
0
0
2
0
0
0
4
4
4
0
0
1
0
0
8
50
0
0
0
0
0
1
1
0
0
0
8
0
0
0
2
2
2
4
0
0
8
8
0
0
0
0
0
16
16
0
0
8
8
8
0
0
0
4
4
0
0
0
0
4
24
0
0
0
8
0
0
8
8
0
0
0
0
0
0
0
16
16
17
17
0
0
0
1
1
0
0
20
0
16
8
0
8
8
2
2
2
1
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
4
0
0
0
0
0
0
0
1
0
0
0
8
8
8
8
8
8
0
22
0
0
0
0
0
0
0
1
1
0
16
16
0
16
16
0
0
0
0
8
0
0
0
0
0
0
16
0
0
0
0
4
0
0
13
0
1
0
0
0
0
0
8
2
0
0
0
0
16
16
0
0
0
0
0
4
4
0
0
0
0
0
0
8
8
0
0
0
0
18
0
0
0
0
0
42
0
0
0
0
0
2
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
4
0
0
0
0
0
0
16
16
8
0
0
0
0
2
9
9
0
0
0
0
0
0
0
0
0
8
8
8
8
16
18
0
4
16
4
4
4
4
2
2
8
0
0
1
0
8
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
24
24
0
8
8
12
16
0
0
0
8
8
8
4
0
0
0
0
0
0
0
49
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
16
8
0
0
0
0
0
0
0
0
0
8
8
8
8
1
16
0
0
2
2
28
28
8
8
8
0
8
8
8
8
0
16
0
4
8
0
16
16
0
0
4
0
29
29
0
0
0
0
0
0
0
0
18
0
0
0
0
0
24
1
0
0
0
0
0
0
28
16
0
0
16
16
0
0
0
0
8
8
0
0
18
0
0
0
0
0
0
0
6
0
0
8
8
8
8
8
8
8
8
8
8
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
8
8
0
8
8
8
0
8
8
8
8
8
8
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
4
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
16
0
8
0
0
8
8
8
8
8
24
0
0
0
0
16
0
0
0
0
0
0
8
8
0
0
0
20
8
0
0
0
0
0
0
0
21
21
21
0
0
8
0
0
0
0
8
0
6
0
0
0
0
0
0
0
0
8
8
28
8
0
0
0
0
0
0
16
16
0
0
0
16
12
0
0
0
0
0
0
1
1
4
4
0
0
0
0
0
0
4
0
0
0
17
0
0
0
32
2
0
0
0
12
44
8
0
0
0
16
16
0
0
0
0
0
0
1
20
3
0
0
8
0
0
0
1
1
1
1
0
0
0
0
0
0
6
0
0
4
0
0
0
0
0
2
2
0
0
0
0
0
16
0
16
0
0
0
2
2
0
0
0
16
16
16
8
8
8
2
9
9
8
0
0
8
8
0
0
0
0
0
16
0
0
0
0
0
0
4
0
0
8
0
20
16
0
8
8
0
0
0
0
8
8
0
0
0
0
0
49
16
14
0
11
0
2
0
0
0
0
0
0
0
0
8
0
0
0
0
8
8
0
0
0
8
0
0
0
5
8
16
16
10
0
0
0
0
0
0
0
0
0
0
0
32
32
32
0
0
0
0
24
24
0
16
8
0
8
8
0
18
18
0
0
0
6
6
6
6
16
0
0
0
16
16
16
8
16
0
0
8
0
9
0
0
0
8
0
0
0
16
16
16
16
0
0
4
4
0
8
0
0
0
0
24
0
0
0
0
0
0
0
24
0
0
8
0
0
0
0
8
0
16
0
4
0
0
2
24
0
0
32
0
0
0
0
8
8
0
16
16
0
0
0
8
4
0
0
0
0
8
8
0
0
0
0
0
0
18
0
0
0
0
0
0
0
0
0
16
16
0
0
4
0
0
0
0
0
1
9
1
4
0
0
8
16
0
0
8
0
0
10
8
0
0
0
8
8
8
8
1
2
0
0
0
16
0
0
0
34
34
4
20
0
0
0
0
0
0
16
0
16
16
16
16
16
0
0
0
4
4
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
16
9
1
1
1
1
32
32
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
16
16
16
0
0
16
16
0
0
16
0
0
0
16
0
0
0
0
20
0
1
2
0
0
0
0
0
16
8
8
0
0
0
8
0
0
0
48
48
0
0
0
0
8
8
8
8
8
0
0
8
0
0
0
20
4
16
16
0
0
0
0
0
0
2
0
0
16
0
0
4
4
0
0
0
20
0
8
0
8
4
0
0
0
0
0
0
0
8
8
8
4
0
20
0
0
0
16
0
0
1
1
0
0
16
0
16
1
0
8
0
4
0
9
16
16
0
0
0
0
0
0
0
0
2
0
0
34
0
0
0
0
0
0
0
0
0
0
8
16
16
0
0
0
0
0
4
0
0
0
20
0
0
8
8
0
0
0
0
43
16
0
0
24
0
0
8
0
0
24
0
0
8
16
8
0
4
0
0
0
0
0
0
0
0
0
0
16
16
16
1
0
0
0
20
0
0
0
0
20
8
16
1
20
20
20
24
8
12
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
1
0
2
0
0
0
0
0
8
8
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
24
24
8
0
0
0
0
0
0
0
12
24
16
0
0
8
0
0
0
0
0
0
8
0
0
0
0
0
28
0
0
0
8
8
16
0
0
16
0
0
0
0
8
0
0
0
0
0
0
0
0
12
12
12
16
16
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
24
4
0
2
2
8
8
0
0
0
0
0
0
8
18
18
32
32
8
9
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
8
8
8
1
0
0
8
0
0
0
34
2
2
20
0
0
0
0
0
0
8
4
24
16
16
8
16
0
0
0
0
16
20
0
0
0
0
0
0
0
0
0
4
0
0
0
16
16
0
0
0
0
0
4
4
4
4
4
18
18
16
16
16
16
0
0
0
8
8
46
46
2
0
16
0
16
24
0
24
8
0
0
0
8
4
4
57
57
57
0
0
0
8
0
1
1
1
1
0
24
29
30
0
0
0
0
0
0
0
2
16
24
16
0
0
16
0
8
8
8
0
0
0
0
16
0
0
8
12
8
16
0
0
0
0
0
16
0
8
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
20
0
0
32
0
0
0
6
0
0
0
16
16
8
0
0
0
8
8
8
8
8
8
8
8
12
12
12
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
8
8
0
0
0
0
16
16
8
8
0
0
0
0
0
0
0
1
0
2
0
0
0
20
20
8
0
0
0
4
0
4
12
12
12
0
16
0
8
8
0
0
0
0
1
1
8
0
0
0
17
16
0
0
0
0
0
0
0
0
0
0
0
16
16
16
16
16
0
0
0
0
8
0
16
16
4
0
0
0
0
2
2
2
2
2
0
0
0
0
0
16
8
0
8
0
0
0
1
16
1
0
0
0
0
0
0
0
0
0
0
8
17
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
8
8
0
8
8
0
0
0
0
8
0
0
9
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
17
0
0
0
16
0
0
0
0
0
0
0
8
0
8
8
8
0
0
1
8
0
0
0
0
8
8
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
8
0
0
16
16
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
1
1
0
0
8
8
8
8
0
0
0
0
0
2
4
0
0
0
0
12
8
8
8
0
0
0
8
4
0
0
0
0
0
16
16
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
16
0
0
0
4
6
0
0
0
16
16
16
24
8
1
0
0
0
0
0
0
0
0
4
16
8
0
4
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
1
1
16
8
0
0
8
0
0
6
16
0
0
4
4
8
8
12
0
0
0
0
16
16
16
16
0
0
0
0
8
0
0
0
0
0
0
0
0
0
16
0
8
8
48
0
0
4
0
0
0
0
0
1
1
0
0
0
0
0
16
0
8
56
56
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
9
9
8
0
0
0
4
4
20
0
0
16
16
16
0
0
0
0
0
0
0
0
0
2
0
0
0
0
4
8
8
8
8
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
8
2
8
8
8
0
0
4
8
8
8
0
0
17
17
0
16
0
0
0
0
20
2
0
44
44
0
0
16
0
0
8
2
2
2
2
25
25
0
0
0
0
8
20
20
20
0
0
0
0
0
16
16
16
16
16
16
16
0
0
0
0
16
0
0
0
0
0
16
16
16
0
8
8
8
8
9
0
4
0
0
0
0
0
8
0
0
0
21
0
0
1
0
0
12
8
16
4
8
8
8
0
0
0
0
0
0
0
0
0
0
0
1
1
8
8
0
0
0
0
0
0
59
43
8
8
0
0
0
0
0
0
0
0
49
49
12
12
12
8
8
8
0
0
0
0
0
0
16
16
16
8
0
16
4
8
0
0
0
8
8
8
8
0
8
8
0
0
0
8
0
0
32
0
0
0
0
0
24
0
0
0
0
0
0
1
0
0
8
0
0
0
4
0
0
1
14
0
0
0
8
0
8
8
0
0
0
0
0
0
8
8
8
0
0
26
26
26
0
8
8
1
0
8
8
0
0
0
16
16
16
16
8
0
0
2
16
16
0
0
0
32
32
0
0
0
0
0
0
4
0
13
0
0
0
0
0
0
8
8
8
0
0
0
8
0
4
8
0
16
0
0
0
8
8
0
0
0
16
16
0
0
21
0
8
0
0
0
0
0
8
16
0
0
4
16
16
8
8
0
0
4
8
8
4
0
0
0
0
8
8
0
0
0
0
0
0
0
0
16
8
8
0
0
0
0
0
0
0
8
52
0
0
0
0
0
8
8
8
24
4
0
0
0
8
8
8
0
0
8
0
0
0
0
4
16
0
0
0
16
0
4
0
16
0
26
8
4
4
4
0
0
16
2
0
0
0
16
8
8
0
8
10
0
0
0
0
0
8
16
0
4
4
4
0
0
0
8
12
12
16
8
0
4
0
0
0
0
12
8
0
0
8
8
2
0
0
0
0
16
16
24
0
8
0
8
0
0
0
0
0
0
4
0
0
0
0
26
26
24
0
0
0
1
0
0
0
0
0
0
0
16
16
0
0
0
0
2
2
11
0
0
0
8
0
12
0
0
0
16
0
0
16
0
0
16
0
0
16
16
16
24
16
8
8
8
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
12
12
32
40
40
8
8
8
0
0
1
1
16
16
0
0
16
24
0
12
8
0
0
0
0
4
4
4
4
8
8
8
0
0
8
8
4
8
0
0
8
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
24
0
0
0
5
0
0
0
24
0
0
2
2
0
0
0
0
0
4
10
8
8
0
0
0
0
0
0
0
0
8
0
8
0
0
48
5
0
0
1
16
0
0
0
0
0
0
12
12
16
16
16
16
0
0
0
0
0
0
0
32
32
0
4
0
0
0
0
0
8
8
0
0
0
0
8
0
0
4
4
0
0
0
0
0
16
16
0
0
16
0
0
0
0
24
4
4
4
0
0
0
0
0
0
0
0
16
8
4
16
0
16
2
2
2
0
33
16
16
16
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
16
0
0
0
0
4
4
4
16
0
8
8
12
0
0
0
2
2
2
0
16
0
1
1
0
2
2
0
0
0
8
8
8
8
8
0
5
5
0
32
44
6
0
16
0
16
17
8
0
0
8
0
0
0
0
0
8
0
0
0
2
2
0
0
0
0
0
4
4
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
4
0
0
59
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
4
0
0
0
0
4
0
0
0
16
0
4
4
0
0
0
0
16
16
33
32
32
0
0
0
8
0
0
0
0
0
8
16
16
4
6
8
8
8
0
0
4
1
0
0
0
32
32
8
8
0
0
0
4
0
0
0
0
0
0
0
16
0
16
16
4
4
0
4
0
0
0
0
0
0
0
8
8
0
8
0
0
0
0
0
0
0
0
0
0
8
40
0
16
0
12
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
17
17
0
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
16
20
20
0
24
4
1
1
1
1
4
4
8
0
0
16
0
0
24
0
18
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
8
0
0
0
0
0
0
0
8
0
25
0
0
0
25
0
16
16
0
0
0
8
0
12
16
16
16
56
0
16
8
0
0
8
16
0
0
16
0
0
0
0
0
0
0
0
16
4
0
8
8
8
8
0
0
0
0
0
8
8
0
8
0
24
1
1
0
0
0
8
8
8
8
8
8
0
0
0
0
0
16
16
0
12
0
0
0
0
0
0
8
24
0
16
0
0
0
0
16
2
2
2
0
16
0
16
0
0
0
0
0
0
0
0
16
16
16
16
16
0
0
0
8
8
16
0
0
24
0
0
0
0
18
18
0
4
0
2
8
0
0
0
0
0
0
0
0
4
8
0
0
0
16
6
0
0
16
8
16
16
0
0
8
0
0
0
0
2
0
0
0
0
8
3
3
0
16
21
0
0
0
0
12
0
0
0
0
0
0
2
0
0
8
24
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
16
0
16
1
1
0
0
0
0
8
8
0
0
12
0
0
0
0
0
0
1
16
16
0
16
8
0
0
0
8
8
0
0
2
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
24
0
0
0
0
0
9
4
4
0
0
0
0
8
8
8
8
0
0
0
0
0
0
0
0
16
0
0
16
0
0
0
0
16
1
0
0
0
0
0
0
0
0
0
8
0
0
0
16
16
0
0
2
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
16
58
58
0
8
8
8
0
24
16
0
0
16
0
0
8
8
0
0
0
8
0
0
0
12
8
0
0
16
10
0
0
0
0
0
0
8
16
16
0
0
2
8
0
0
0
1
1
1
0
0
0
16
8
0
0
0
0
0
0
0
0
0
0
22
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
4
4
0
0
20
16
16
0
20
8
4
8
16
16
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
2
2
2
0
0
0
24
24
0
0
1
0
0
0
0
0
16
0
0
0
8
8
0
0
8
0
0
0
8
8
0
2
0
0
0
0
0
0
0
16
0
0
0
0
8
0
8
0
0
4
4
4
4
8
16
16
1
0
4
4
0
28
0
0
4
5
5
0
0
32
0
21
0
0
0
8
16
16
16
2
0
29
29
29
0
16
0
0
0
0
0
0
0
16
16
0
0
0
8
8
0
0
0
0
0
0
0
0
0
3
0
8
8
6
0
0
0
0
21
4
0
0
0
0
8
8
0
0
0
4
4
8
0
8
0
0
0
8
26
26
0
0
0
0
0
2
8
2
2
4
0
0
0
0
0
8
8
0
16
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
4
16
0
0
0
16
16
0
0
0
0
2
0
0
0
0
0
0
16
4
2
0
0
0
0
8
8
8
0
18
18
8
8
2
0
0
0
18
18
0
16
0
0
16
0
0
0
0
0
0
0
0
4
4
24
8
0
0
0
0
0
0
8
0
0
8
8
8
0
0
0
20
20
0
0
0
0
0
16
0
0
8
32
0
0
8
8
0
0
8
0
16
0
0
8
0
0
1
0
0
8
8
0
0
40
40
16
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
8
8
8
0
4
0
0
4
0
0
8
0
8
8
16
16
8
0
0
0
0
0
0
0
0
0
0
0
0
24
8
8
0
0
0
0
0
0
1
1
1
8
0
0
0
0
8
0
0
32
0
0
0
20
0
0
0
2
61
0
8
0
0
0
25
0
0
4
4
16
5
5
0
16
16
12
12
16
0
20
0
16
8
16
0
16
16
0
17
0
8
8
8
8
0
0
0
0
0
0
0
0
8
32
16
18
0
8
8
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
6
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
8
8
0
0
4
8
0
0
16
3
0
0
0
0
48
0
1
0
1
2
0
0
0
0
0
8
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
16
4
18
18
18
18
18
18
18
18
18
18
18
18
18
18
18
18
18
18
18
18
18
18
4
4
0
8
4
4
0
0
16
16
16
0
20
0
2
0
8
24
1
0
0
0
0
0
0
0
9
1
0
0
8
8
8
8
0
8
0
20
20
20
0
0
0
0
8
8
24
4
4
4
4
4
0
0
5
0
16
17
0
16
16
0
0
0
0
8
0
0
0
0
0
0
8
30
4
0
0
0
0
0
0
24
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
4
4
4
8
0
16
5
0
0
2
2
8
16
0
0
0
8
0
0
0
0
8
8
0
0
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
8
0
4
0
0
0
16
8
0
0
8
0
0
18
0
0
0
0
0
1
0
0
8
8
8
8
0
0
2
0
0
0
0
0
0
0
20
8
0
0
0
0
16
16
33
0
0
26
16
8
0
4
0
4
1
1
1
8
8
8
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
16
0
32
32
0
0
0
0
0
0
8
8
0
0
0
0
0
0
16
17
0
0
24
0
0
16
0
9
9
0
16
0
0
9
9
0
0
0
0
0
20
0
8
8
8
8
8
8
8
1
24
0
0
0
0
0
0
0
8
12
8
8
8
8
0
0
8
4
4
0
8
16
8
0
0
1
16
0
0
16
0
0
8
4
0
8
4
4
20
16
0
0
0
0
0
10
0
0
0
2
16
0
8
8
0
0
0
0
8
8
0
0
0
0
10
10
0
0
2
2
2
4
0
0
16
0
0
0
0
0
0
0
0
8
8
0
0
16
0
0
0
4
8
8
0
24
16
8
8
8
0
0
4
28
28
0
0
0
8
8
0
0
0
0
16
0
16
0
16
4
0
0
16
4
16
1
8
1
0
8
0
1
0
0
0
0
18
8
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
20
0
8
8
3
8
8
8
16
0
0
0
0
0
8
2
8
0
0
4
24
2
0
0
0
8
0
0
0
0
4
4
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
4
4
12
4
4
8
8
0
0
8
8
0
0
1
1
1
0
0
16
0
0
0
4
0
0
0
8
0
0
0
8
4
4
4
0
16
0
0
0
12
16
0
0
8
8
2
0
0
0
4
0
0
0
0
0
32
0
0
0
0
0
0
0
0
0
0
0
0
0
4
8
0
0
0
26
0
0
0
8
8
0
0
1
0
0
0
9
0
0
0
16
16
0
0
0
0
26
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
16
0
16
4
8
4
12
16
16
0
8
8
8
0
0
16
8
0
0
0
0
0
1
1
1
0
0
0
0
4
0
16
16
0
0
0
0
0
5
0
0
0
0
17
0
0
32
0
0
26
2
0
0
0
0
0
0
8
8
0
0
0
2
2
0
0
0
61
0
8
8
16
16
0
0
0
0
0
0
8
0
0
0
2
0
16
16
0
0
0
1
1
4
0
1
0
0
0
16
0
0
16
0
8
8
4
0
0
0
0
8
8
8
18
0
0
0
32
16
16
0
0
0
0
16
24
0
8
0
0
8
8
0
0
0
0
0
0
0
16
16
0
17
1
0
10
0
0
0
16
0
4
0
0
0
0
0
4
4
0
0
0
0
0
0
0
20
20
0
0
4
4
2
8
0
16
8
0
0
8
0
60
0
0
16
0
8
0
8
0
8
16
16
0
0
4
0
16
0
0
8
8
0
0
2
2
18
18
16
16
16
0
16
1
0
0
8
0
0
13
0
25
0
0
0
0
32
32
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
1
17
16
16
8
8
0
3
3
3
3
0
0
0
8
4
0
0
0
0
12
8
8
0
0
16
0
2
0
0
0
0
0
0
24
0
8
0
0
24
24
24
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
8
0
0
0
16
0
16
2
25
0
0
0
0
0
0
0
4
4
8
8
8
4
4
8
0
0
4
0
60
4
32
32
16
8
8
0
0
8
0
0
18
16
0
0
0
16
16
8
16
16
0
8
30
0
0
0
0
8
0
0
0
0
1
0
0
0
24
0
0
0
0
8
8
0
16
16
16
9
0
2
2
8
0
0
0
0
0
0
0
2
0
24
8
28
24
24
24
0
4
4
0
0
0
0
0
4
0
0
0
0
0
0
42
42
0
0
0
8
0
0
0
8
8
8
0
8
8
0
0
0
0
2
16
8
0
0
0
8
16
16
16
16
16
16
16
0
24
0
0
16
0
0
0
0
0
0
0
8
0
0
16
16
16
8
8
8
8
8
16
16
0
0
0
0
0
0
0
16
16
16
16
0
0
24
24
0
0
0
36
16
0
0
8
0
0
9
16
0
0
0
0
0
0
0
0
0
8
8
0
0
9
1
1
0
8
0
0
0
0
8
0
0
8
17
0
16
0
8
0
0
16
0
4
0
0
16
16
16
16
0
8
0
0
0
8
0
1
0
0
0
0
0
2
2
2
20
4
0
8
0
2
0
16
16
16
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
8
8
0
0
0
0
0
0
0
8
0
4
4
4
4
4
4
1
8
8
8
0
0
8
0
0
0
0
16
16
0
0
0
0
0
8
0
0
0
24
36
0
0
0
0
0
0
0
2
2
2
2
1
0
0
8
8
0
0
2
2
16
0
0
0
0
17
17
0
0
0
0
4
4
4
0
0
0
0
2
8
8
8
8
0
0
0
1
0
0
0
0
0
0
0
8
16
16
16
0
8
16
0
0
0
0
0
0
0
20
0
16
0
4
4
4
0
0
0
4
4
0
0
0
0
0
0
18
0
0
0
0
0
0
0
8
0
0
56
0
0
0
8
0
0
0
0
16
0
8
4
0
0
0
2
2
0
4
0
0
1
8
1
0
0
0
0
0
0
0
0
1
1
1
1
1
1
0
4
4
0
0
16
16
16
0
0
0
1
8
16
0
0
0
8
8
8
8
0
0
0
0
4
0
1
0
2
2
4
18
8
0
0
0
16
16
8
0
0
0
0
8
8
52
52
8
0
0
0
13
2
2
10
2
0
0
0
0
0
0
0
0
0
2
2
8
0
0
4
0
18
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
16
12
0
0
8
0
0
0
0
0
0
9
9
0
4
0
0
0
0
0
0
0
21
0
4
0
0
0
0
0
0
0
6
0
0
0
0
0
0
0
16
0
0
0
4
0
0
0
0
0
6
0
4
0
0
0
36
0
0
0
0
0
1
0
0
0
0
8
0
0
16
16
0
0
0
0
0
0
0
0
0
0
2
28
9
0
0
0
0
0
0
0
4
4
1
16
8
0
8
0
16
16
16
8
8
4
0
0
0
0
0
0
0
0
0
0
16
16
16
16
20
40
16
16
4
4
24
0
48
0
0
0
0
0
16
17
0
8
8
8
8
0
0
16
0
0
0
0
0
2
0
0
0
0
0
0
8
0
8
0
20
20
0
0
0
8
16
0
0
16
0
0
0
2
0
0
16
2
2
8
8
8
0
0
8
18
18
0
0
20
20
16
24
0
0
0
8
2
0
0
16
16
16
16
16
0
0
0
12
0
0
0
4
0
0
0
0
0
0
32
0
0
0
16
1
8
8
16
0
8
0
0
8
8
0
0
4
0
0
0
0
0
0
24
0
0
16
8
8
0
0
0
0
0
0
0
0
0
24
24
25
1
1
0
1
0
0
0
16
0
0
0
0
0
0
28
0
8
16
0
0
4
4
4
0
0
0
0
0
0
8
0
16
0
0
1
0
8
0
0
8
8
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
16
0
16
0
8
8
8
0
4
4
0
8
0
0
0
0
56
0
0
4
4
8
0
0
0
0
8
32
32
32
32
0
0
16
16
16
17
0
8
2
2
1
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
8
0
0
4
0
0
2
0
0
0
40
20
0
0
0
0
0
0
0
18
0
8
16
16
16
16
16
0
0
0
0
0
0
16
16
16
16
16
8
0
0
0
4
0
0
0
0
0
0
0
25
25
25
16
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
12
0
0
16
0
48
48
0
16
16
0
0
0
0
7
0
0
32
0
0
16
0
10
0
0
0
0
0
32
0
0
0
1
12
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
8
0
20
20
4
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
8
8
8
8
8
0
0
0
4
0
0
0
18
0
8
8
16
16
0
16
8
8
8
0
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
16
16
16
8
8
8
4
0
0
0
0
0
8
8
0
0
8
0
0
0
0
8
8
0
0
0
0
0
24
8
8
8
8
16
0
0
8
0
8
8
8
8
8
8
8
8
8
8
8
16
0
8
0
0
16
1
1
0
0
0
0
0
0
0
0
0
15
0
0
0
0
8
0
0
0
0
0
8
32
0
0
0
0
0
0
0
19
19
19
8
0
0
0
4
0
2
1
0
0
0
0
0
23
2
2
0
8
8
0
0
0
0
0
8
41
0
0
0
0
8
8
8
8
1
8
0
8
0
0
0
0
0
0
0
0
0
4
20
4
0
0
0
0
0
0
0
8
0
0
0
0
4
4
4
4
0
0
8
8
0
0
8
8
0
0
2
32
32
32
20
0
0
0
17
8
8
4
0
16
32
32
32
32
32
0
0
0
24
0
8
8
16
8
8
8
8
8
8
0
0
24
24
0
0
0
0
0
0
0
0
0
0
16
0
0
48
48
0
0
0
0
32
8
8
8
1
1
9
0
8
0
0
0
0
1
1
8
8
4
4
0
16
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
16
0
0
0
0
0
0
0
16
16
8
8
8
8
0
8
1
0
0
0
4
16
0
0
0
0
8
0
0
0
0
0
0
0
4
4
4
0
0
0
0
0
0
0
4
16
8
8
0
0
16
8
12
12
0
29
0
0
0
0
0
0
2
0
16
0
1
0
0
0
0
0
0
0
16
16
16
16
0
0
0
0
18
0
8
0
0
0
0
0
0
8
0
0
8
8
8
8
4
4
2
0
0
2
8
8
0
0
0
0
5
0
8
8
8
0
16
8
8
0
0
4
0
2
16
16
0
0
8
0
0
0
0
0
0
0
0
0
8
0
0
8
2
2
12
0
0
0
0
0
0
8
8
0
0
8
8
0
0
0
8
0
0
0
4
0
8
0
25
8
0
0
8
8
8
0
4
24
4
8
8
0
0
0
0
0
59
8
0
0
0
0
0
9
9
0
0
16
0
0
0
0
0
0
8
12
12
16
16
0
0
0
8
8
8
0
8
8
8
0
16
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
16
16
0
24
0
0
8
0
0
0
0
0
0
0
0
0
0
0
3
0
0
0
0
16
16
0
0
8
8
8
8
8
8
8
8
8
36
4
8
8
8
8
8
29
29
29
29
29
8
8
0
0
9
0
0
32
2
0
0
0
0
1
8
16
0
16
0
16
16
16
0
16
0
0
0
0
0
0
8
24
0
8
8
0
0
0
0
0
0
1
0
0
18
0
0
0
8
8
0
0
0
0
24
1
0
0
8
8
0
0
24
0
0
0
0
0
4
8
0
0
6
8
0
0
4
4
40
8
8
8
0
1
1
0
0
0
4
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
4
4
0
0
8
8
8
0
0
0
0
0
0
0
16
16
0
0
8
1
1
0
0
0
0
0
0
0
16
0
0
20
8
8
16
0
0
16
0
16
0
0
0
0
0
0
0
0
16
16
0
8
16
0
0
0
0
16
8
12
0
8
16
8
12
12
12
4
0
6
24
8
0
0
0
0
16
0
0
0
2
0
0
7
0
0
0
37
8
8
0
5
0
0
0
0
25
24
24
0
8
8
0
0
6
6
6
0
0
0
0
4
16
16
0
0
0
0
8
8
17
0
0
0
0
8
8
8
0
8
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
4
1
8
8
0
8
0
0
24
0
1
1
0
0
0
8
0
0
8
8
8
32
4
0
11
11
0
0
0
4
0
29
16
8
8
8
0
17
0
0
0
8
0
0
0
16
0
0
0
0
0
0
1
0
0
4
8
8
0
1
0
8
16
0
8
4
4
20
0
0
0
0
0
0
0
0
0
4
8
16
16
1
0
16
0
1
1
0
0
24
8
8
0
0
0
0
0
8
8
17
17
17
17
17
0
0
0
0
0
16
1
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
8
8
0
0
25
24
24
24
0
0
0
0
0
0
0
8
8
0
4
8
8
8
0
0
4
4
8
0
0
0
0
0
0
0
1
0
0
8
8
16
16
8
8
0
0
0
0
0
16
0
0
0
2
2
16
1
0
0
0
0
0
0
0
0
0
0
16
16
0
4
0
0
0
8
16
8
0
36
0
8
8
0
0
24
20
20
0
4
4
0
0
0
0
0
0
0
4
4
16
16
0
0
0
0
0
16
0
8
32
0
0
0
0
0
0
0
0
0
24
0
0
0
0
0
0
0
8
8
0
0
0
0
8
8
20
0
8
8
8
16
1
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
16
8
2
0
0
0
17
8
8
8
0
0
0
16
16
16
0
0
0
0
4
0
32
2
8
0
0
8
16
8
8
0
0
0
0
2
0
4
4
4
0
0
0
0
0
4
0
0
0
1
1
1
0
0
10
10
0
0
0
8
2
0
0
0
8
0
0
16
16
16
24
20
20
16
0
0
4
0
16
16
16
16
0
0
0
0
16
16
0
4
0
0
0
0
4
0
0
0
0
0
16
16
4
36
0
0
0
0
0
8
0
31
31
10
10
10
0
0
3
0
0
0
0
0
0
0
2
2
0
0
0
0
0
0
0
0
0
16
8
16
0
2
2
16
16
0
0
24
24
0
16
8
24
0
0
0
2
2
0
0
0
0
8
0
8
0
0
0
0
0
8
1
0
0
0
0
0
0
3
0
0
0
4
24
8
0
0
0
8
0
8
8
0
0
0
0
0
0
16
0
0
1
1
0
0
0
0
0
0
4
0
0
0
0
0
0
8
0
0
8
16
0
0
0
0
2
0
0
8
16
16
0
8
8
0
0
0
0
0
25
0
2
0
16
16
0
0
0
0
4
0
0
8
8
8
0
0
0
9
8
8
0
0
0
16
0
0
0
0
8
24
0
2
16
3
0
0
4
4
12
8
8
0
8
8
0
0
16
0
0
8
2
0
4
0
0
0
16
8
0
0
0
0
0
0
0
0
8
0
0
2
2
8
8
0
0
4
16
0
0
0
0
0
8
0
0
0
8
8
0
25
2
0
0
0
16
0
0
0
0
12
12
12
0
16
8
4
8
0
2
0
0
0
0
9
4
4
0
1
0
10
16
16
0
0
0
0
0
0
0
0
8
16
0
0
8
0
0
0
16
0
0
0
0
0
0
0
0
8
8
8
8
4
4
4
0
8
8
8
8
0
0
8
0
8
8
16
1
0
0
0
0
0
0
5
0
0
0
0
0
0
4
4
0
0
0
8
8
8
0
0
4
16
8
8
0
0
8
0
0
0
8
0
0
2
0
0
0
16
0
0
8
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
9
57
0
16
16
0
0
0
8
8
16
16
0
0
0
0
0
0
0
0
0
0
0
0
8
0
16
16
8
0
0
0
8
0
0
0
0
0
0
0
8
0
0
0
0
0
10
10
0
1
1
2
2
0
0
0
0
0
0
8
0
8
16
3
16
0
0
0
16
8
0
0
16
16
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
7
16
0
16
0
32
32
0
0
4
8
0
0
8
8
0
0
0
16
0
0
8
8
0
0
0
0
0
0
0
0
0
25
0
8
4
4
0
0
16
16
0
0
16
16
8
8
8
4
8
0
0
0
5
5
0
16
22
0
0
0
0
0
8
0
4
5
0
0
20
12
12
0
8
8
8
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
8
8
4
4
24
0
0
0
0
0
0
0
0
0
0
0
8
8
8
18
0
0
0
0
8
8
6
6
0
0
0
1
1
4
4
4
0
0
24
0
0
0
8
4
0
0
0
0
0
0
18
16
8
8
0
0
0
0
0
16
8
0
0
0
0
0
0
0
1
0
0
0
8
0
0
0
0
0
0
0
0
1
1
4
4
4
13
4
4
8
8
2
0
0
0
0
8
8
0
16
0
8
8
8
0
0
0
0
0
0
8
8
0
0
0
20
16
0
6
6
2
2
2
8
0
0
4
1
1
1
0
16
16
5
0
0
16
0
0
24
10
10
0
0
8
16
0
0
8
6
6
6
0
0
24
24
0
10
10
0
8
8
8
8
0
8
8
0
8
8
16
0
0
0
16
8
8
0
0
24
8
16
0
0
16
0
0
0
0
0
0
16
16
8
8
4
0
8
0
0
0
0
16
16
16
16
8
8
0
6
0
17
0
17
8
8
8
10
0
0
0
0
0
0
0
0
0
0
0
4
28
8
8
8
16
0
0
0
0
8
8
8
4
4
0
5
5
5
8
8
0
8
0
0
8
0
0
0
0
0
0
16
0
8
8
8
8
8
8
0
0
0
0
0
0
4
4
1
1
0
8
7
0
24
0
2
0
0
4
4
16
16
57
16
0
4
0
16
16
0
0
0
4
4
4
3
20
0
32
0
0
0
16
0
0
0
0
0
0
0
0
0
4
4
4
16
16
0
0
0
16
8
8
0
0
0
8
8
8
8
8
0
32
0
6
0
0
0
0
0
0
0
0
0
0
24
0
16
16
0
8
8
8
8
8
0
0
0
0
0
0
0
0
16
0
16
8
16
0
0
0
0
0
33
0
0
0
0
0
0
0
1
8
8
8
8
8
8
0
0
0
8
16
24
0
0
0
0
4
3
3
8
0
0
0
0
0
36
0
24
0
0
8
0
0
0
0
0
0
0
0
0
8
0
20
20
20
20
20
20
20
20
20
20
20
1
0
0
8
8
24
24
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
8
0
0
0
0
8
8
0
0
0
0
8
8
8
8
0
0
0
0
29
0
8
8
0
0
6
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
8
8
16
16
32
16
0
4
0
0
8
16
0
0
0
0
0
20
0
1
1
0
2
0
18
0
8
8
8
0
0
0
0
30
8
8
0
16
16
8
0
0
0
1
16
0
0
0
30
8
8
0
0
0
8
8
8
8
8
0
0
33
32
8
1
1
0
10
8
8
8
0
4
1
8
8
16
8
0
0
8
0
0
0
0
0
0
10
8
0
0
0
4
1
0
0
4
4
8
0
8
0
0
0
0
0
1
1
8
0
0
0
18
8
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
8
0
0
0
8
0
0
0
4
16
16
0
8
8
8
4
0
0
0
0
16
16
8
0
0
0
0
0
8
4
0
0
4
8
8
8
8
8
0
0
0
8
8
8
48
0
0
4
0
0
4
8
8
0
8
0
0
0
0
0
0
0
0
2
4
0
0
0
0
0
0
0
0
16
0
16
0
8
0
0
0
8
8
8
8
0
0
0
5
0
0
0
16
8
8
0
8
0
8
8
0
0
0
0
0
16
16
0
0
0
0
2
2
2
0
0
32
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
8
8
8
8
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
8
0
0
1
0
0
0
1
0
0
0
1
1
1
0
16
1
8
0
16
25
0
0
0
34
8
0
8
0
0
8
16
16
8
8
17
17
10
0
0
0
16
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
44
0
0
4
4
0
0
0
0
0
0
0
24
0
0
8
0
8
8
16
16
8
16
0
0
0
0
16
4
4
4
4
4
0
0
0
0
0
8
16
16
0
0
0
22
0
0
8
0
0
0
0
0
0
0
0
16
16
16
16
4
16
16
16
16
0
0
0
0
0
4
0
0
0
0
16
0
0
8
28
0
0
16
16
16
16
16
16
16
16
16
8
0
0
0
0
20
2
2
4
8
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
16
16
8
8
0
0
0
8
8
0
0
0
20
20
20
4
0
0
0
8
0
0
8
4
4
0
0
0
8
8
8
8
8
8
0
0
8
0
0
0
0
0
0
0
4
0
0
8
0
16
0
16
0
0
9
0
0
0
0
0
0
4
20
8
24
0
0
0
0
0
0
0
16
0
16
1
0
0
0
0
0
0
0
24
9
0
8
1
0
0
0
0
0
0
0
0
0
0
16
0
0
0
1
0
0
32
8
8
8
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
24
24
0
0
0
0
8
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
1
0
8
8
0
8
8
1
0
0
0
0
0
0
16
0
0
20
0
0
0
0
0
0
0
0
0
4
4
4
4
0
0
0
0
8
8
0
0
0
0
4
0
16
16
0
2
0
0
0
0
0
0
0
0
8
0
8
8
8
8
8
4
2
8
8
8
0
0
0
0
16
0
0
0
16
16
3
8
0
16
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
8
8
16
0
0
0
0
8
8
8
16
0
0
0
0
32
32
32
8
1
1
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
8
0
0
4
0
0
1
0
0
0
0
0
0
0
1
0
4
24
0
0
0
0
0
4
8
8
8
8
16
16
12
0
16
1
1
1
1
0
0
0
2
2
0
0
16
0
8
0
0
4
8
0
0
4
0
8
8
0
0
0
0
0
16
1
8
0
0
0
0
0
0
0
0
0
24
0
0
0
0
0
0
0
4
16
0
0
0
0
8
0
0
0
8
16
16
16
16
16
16
0
0
0
0
0
0
0
0
0
0
0
16
1
0
4
0
0
8
0
0
0
16
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
8
0
20
20
8
8
16
8
1
1
1
8
8
0
8
8
8
8
8
20
4
24
24
24
0
32
0
0
0
0
8
0
8
0
16
16
0
15
0
0
16
0
0
20
0
16
0
20
0
0
18
16
0
8
8
0
0
0
16
0
0
8
8
8
0
0
16
16
0
0
0
0
0
0
0
8
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
4
16
16
16
18
8
8
16
16
0
0
16
8
8
8
24
8
4
4
0
0
28
24
1
8
0
15
0
0
0
8
16
24
24
4
4
1
0
11
9
9
8
0
0
16
16
0
0
0
1
8
8
8
0
16
16
8
4
8
14
1
0
6
56
24
1
16
8
0
0
0
0
8
8
8
1
1
1
8
16
8
0
8
8
16
16
16
8
0
0
16
16
16
0
20
20
20
20
16
0
8
0
0
0
0
16
0
0
0
8
1
16
16
16
8
8
8
8
8
24
8
8
0
16
8
34
8
8
0
0
4
8
8
8
0
0
8
8
8
10
0
0
16
8
8
0
0
0
18
0
0
1
0
1
2
0
8
30
16
2
2
0
4
16
4
8
2
8
0
0
16
6
8
8
8
0
0
2
8
0
0
4
4
0
0
0
0
0
0
0
0
8
8
8
8
0
0
0
0
0
0
0
0
0
24
16
0
0
0
8
8
0
0
4
4
42
34
1
0
0
8
3
1
16
2
20
8
8
0
8
8
8
8
25
8
8
0
34
34
16
0
0
0
16
0
8
0
0
24
24
8
8
16
16
24
8
4
4
4
0
0
4
4
16
0
2
0
0
0
0
0
0
20
0
6
8
0
20
20
20
16
24
8
0
0
4
0
1
18
8
0
1
1
8
8
8
8
2
7
0
0
16
6
16
0
0
16
8
8
4
8
8
8
4
4
4
16
0
16
16
2
2
2
0
8
8
8
0
0
0
0
0
8
0
0
8
8
16
16
0
4
4
0
8
18
0
0
18
8
8
0
8
8
8
8
8
8
8
8
0
16
16
16
16
0
16
8
8
8
0
16
8
8
8
8
9
9
32
5
5
0
5
4
4
16
8
8
8
8
8
0
0
0
4
4
0
8
8
8
16
0
0
8
1
1
0
0
4
4
24
24
0
0
0
16
16
16
16
16
8
8
0
0
1
16
1
16
8
8
4
4
0
0
0
0
0
16
0
0
0
4
0
0
8
16
1
1
1
40
2
5
0
0
8
28
8
0
0
0
0
8
8
8
8
8
8
16
0
0
0
8
0
0
0
0
0
16
16
8
0
16
0
27
0
0
0
17
0
8
8
16
16
0
2
2
0
0
0
8
0
8
8
8
8
4
4
4
4
0
16
0
24
25
25
16
16
4
0
4
18
1
1
16
16
1
1
8
8
8
0
0
8
8
8
4
0
0
0
0
0
8
8
16
16
15
4
2
2
0
0
8
8
0
0
0
10
0
0
8
8
0
0
0
0
28
28
0
0
16
16
16
31
8
8
8
8
8
8
8
48
4
4
4
4
8
8
0
0
0
0
16
8
8
8
0
16
16
9
0
8
0
0
0
4
8
8
8
1
1
1
8
8
28
0
0
18
0
0
0
0
0
18
4
4
0
8
8
16
0
0
0
0
8
18
18
0
0
0
25
8
0
24
0
0
8
8
0
0
0
8
24
0
0
4
0
2
0
0
16
16
0
4
16
0
8
8
8
8
8
7
4
12
8
8
0
8
0
4
8
16
16
40
8
8
0
1
9
8
8
0
0
8
8
0
16
16
16
16
24
8
2
2
24
24
8
8
16
8
0
4
8
8
2
2
8
8
8
0
8
0
16
16
8
8
0
0
4
2
2
8
8
0
0
1
8
8
8
8
20
20
16
0
0
0
0
0
4
0
0
0
16
4
0
0
16
1
1
0
0
0
0
0
1
25
0
0
16
18
18
18
18
6
2
2
1
8
8
8
8
16
9
8
2
2
2
2
2
8
16
8
2
1
0
4
0
16
16
16
0
0
0
2
8
0
0
0
16
12
19
2
0
16
16
16
16
0
0
16
0
0
8
1
1
14
4
0
0
8
10
8
8
8
8
8
0
0
4
4
16
8
0
8
1
1
4
0
0
16
32
0
0
16
16
8
0
0
8
8
8
41
8
0
0
0
0
8
16
1
1
2
2
0
24
0
0
0
1
16
1
2
8
8
8
0
12
8
8
8
0
0
0
0
1
0
8
0
0
8
8
0
0
4
4
0
2
2
23
0
16
16
16
8
12
8
8
0
1
8
24
16
17
24
8
0
0
6
6
0
0
0
0
16
16
16
0
0
1
0
0
4
16
8
8
48
8
0
16
16
16
16
16
0
0
16
0
2
16
16
12
12
0
0
0
0
9
9
16
16
0
8
8
8
0
0
8
0
0
0
0
0
0
2
8
0
0
8
8
4
4
4
8
16
16
8
8
8
8
0
0
0
8
8
0
4
4
2
0
2
0
0
0
4
4
0
16
16
16
8
8
8
0
3
8
4
0
8
8
8
8
8
0
0
16
9
1
0
16
16
16
0
4
4
0
0
0
0
8
8
4
4
4
4
4
4
4
16
0
0
8
8
16
20
20
0
0
1
1
8
8
8
2
16
16
16
8
8
8
8
8
8
16
16
8
0
0
0
0
8
0
0
8
0
4
8
8
0
8
16
0
0
2
8
2
2
0
2
2
2
16
16
0
0
0
16
0
0
0
0
0
8
0
0
0
0
8
8
0
0
8
8
8
8
20
0
8
8
0
4
0
0
0
0
8
8
4
0
4
24
16
8
8
8
8
8
8
0
4
4
4
0
16
0
0
0
1
8
8
8
8
24
8
4
1
16
16
16
16
16
2
0
4
8
0
20
16
8
8
0
0
2
8
8
2
4
0
0
0
0
16
16
16
16
16
0
16
0
0
8
8
8
0
4
2
0
8
8
16
1
16
16
16
8
8
1
1
1
25
0
4
0
4
8
0
0
0
0
0
0
20
6
12
8
8
16
16
16
16
16
0
0
8
9
18
16
16
16
16
16
0
0
0
0
0
0
32
32
0
0
0
0
0
0
0
16
1
8
11
11
2
10
2
0
0
0
0
0
36
0
0
48
48
16
16
8
2
2
24
24
0
0
0
0
0
0
8
8
0
0
0
10
10
8
1
0
16
1
16
16
4
4
4
8
16
16
1
0
16
16
16
24
8
24
8
1
0
8
30
8
16
16
16
0
0
0
4
8
1
0
0
0
0
4
1
1
16
16
2
0
8
0
8
8
2
0
0
2
8
16
16
0
0
16
0
28
8
8
16
16
8
8
0
0
1
3
3
0
0
0
0
24
16
0
0
16
16
16
1
1
1
1
1
0
0
16
8
8
1
24
24
24
0
0
0
8
8
8
8
8
8
8
0
16
1
4
8
16
0
0
8
8
0
0
8
8
8
1
8
8
14
16
1
1
1
1
1
4
61
0
0
0
0
0
0
0
4
16
0
0
4
0
8
0
2
2
8
0
0
8
8
8
8
8
8
8
8
28
9
0
19
19
24
8
0
20
0
17
16
0
0
8
8
8
0
1
34
34
8
56
56
8
8
0
8
16
16
16
0
0
0
0
0
1
18
26
1
0
0
0
0
8
8
0
0
0
0
0
0
8
20
0
0
0
0
0
0
0
0
16
1
0
8
0
40
17
1
2
0
0
0
24
0
0
8
16
0
0
8
0
8
8
8
1
20
16
16
16
16
16
16
16
16
0
0
2
0
2
16
16
0
16
24
24
16
0
4
4
4
4
4
8
0
5
16
8
8
16
16
8
4
4
8
8
8
8
8
20
0
8
0
0
18
0
0
8
0
4
4
0
0
0
8
8
2
2
8
0
18
14
16
16
20
20
20
8
16
0
16
16
56
0
8
0
16
32
8
8
8
56
8
8
0
0
0
0
0
1
16
8
0
0
8
4
4
4
0
0
8
8
8
8
8
0
0
0
1
4
0
0
0
0
0
8
0
8
8
0
0
0
8
16
8
8
2
16
0
0
0
0
0
0
8
8
8
2
4
8
8
8
9
16
0
8
8
8
8
0
0
8
0
8
16
0
0
0
0
16
16
16
16
16
16
16
0
0
10
8
8
4
4
4
32
16
16
16
16
16
0
0
8
0
8
8
8
8
8
16
8
8
8
8
12
12
12
12
8
25
4
0
0
16
16
16
16
0
16
16
0
0
0
0
0
0
17
1
18
2
14
14
8
8
8
8
8
4
0
17
16
0
0
0
0
2
2
0
8
8
4
0
2
16
16
16
17
8
16
8
8
8
0
0
1
8
0
1
2
3
3
0
0
32
0
0
8
8
8
0
4
0
16
16
0
0
0
0
16
8
8
2
24
0
8
8
8
8
16
0
0
0
0
0
17
16
0
8
2
2
16
16
8
0
1
8
0
0
0
0
0
8
8
2
0
24
0
4
8
10
0
0
2
8
8
8
32
1
1
1
0
0
0
0
0
16
24
0
2
2
0
16
0
2
2
8
8
25
0
8
8
8
0
16
8
0
0
16
16
16
12
0
0
8
16
16
9
1
1
0
0
24
8
20
0
8
8
8
8
4
0
11
0
16
16
0
0
0
16
8
8
8
8
8
16
16
2
0
0
0
0
8
8
8
8
8
0
8
8
8
8
16
8
8
2
0
8
1
1
1
0
8
4
0
16
0
16
0
8
8
16
0
0
0
4
4
18
0
0
4
4
1
0
8
8
0
8
20
0
25
0
1
1
56
2
4
4
2
0
32
32
0
8
2
8
8
0
0
16
16
16
2
2
16
8
0
8
8
8
25
25
12
8
8
0
0
6
0
8
0
12
0
0
8
4
16
4
16
0
16
16
16
8
8
4
0
4
16
0
0
4
4
4
8
8
16
16
8
8
16
0
0
0
8
0
0
0
4
0
4
16
16
0
24
1
16
0
0
0
8
0
0
0
16
24
16
16
0
0
16
0
4
4
16
16
8
16
0
8
8
8
8
28
0
0
0
8
2
1
0
4
32
32
32
0
0
16
8
0
4
4
4
4
4
0
8
16
0
0
8
8
16
1
24
4
4
0
16
0
8
8
4
0
12
0
0
8
8
16
16
49
16
0
13
0
16
0
20
0
0
8
1
16
16
42
42
8
52
26
36
0
8
24
16
10
10
8
8
8
1
32
0
8
0
0
0
4
30
32
16
2
2
0
0
0
0
0
0
0
0
0
16
16
4
8
8
8
8
8
8
8
8
0
0
0
24
24
0
0
8
16
2
0
0
8
0
0
8
4
0
8
8
8
8
8
4
4
8
0
0
4
24
0
2
4
16
4
4
24
24
8
0
2
2
2
16
8
8
0
0
0
16
28
28
0
0
8
8
0
0
0
0
4
0
0
0
0
0
8
8
8
0
0
22
22
22
22
16
16
4
4
4
24
24
24
4
8
8
8
16
16
0
0
8
8
0
16
0
0
0
16
16
16
1
0
18
18
8
8
16
0
0
8
8
0
8
8
8
8
8
16
16
0
0
4
1
18
16
0
8
16
8
0
16
6
6
16
16
8
0
8
8
8
16
16
8
16
0
0
0
0
0
8
8
8
24
24
0
0
16
16
0
1
1
1
32
11
8
32
8
33
33
26
16
16
16
12
16
16
0
0
0
8
0
8
8
8
2
2
8
2
2
0
0
8
16
16
17
17
17
0
0
0
1
1
20
20
20
20
0
0
8
0
20
8
0
0
0
13
0
0
1
0
8
4
24
0
8
1
0
0
0
0
0
4
4
16
16
0
0
0
0
8
8
2
2
16
24
16
4
0
0
48
48
8
4
4
4
0
0
0
8
0
4
48
0
0
0
0
8
8
1
1
4
4
4
4
48
0
8
8
0
8
0
0
0
0
8
8
0
0
2
0
0
0
8
8
8
16
16
0
0
21
8
8
1
16
0
0
24
0
0
0
0
4
4
0
0
8
8
0
8
4
16
0
0
0
8
0
0
2
0
0
0
0
0
16
16
16
0
4
8
0
8
8
0
0
0
20
20
0
4
4
32
16
0
0
0
12
0
2
0
0
0
0
0
0
16
16
8
0
0
0
0
2
8
1
0
6
16
0
4
0
2
18
4
0
16
4
8
2
0
0
8
0
0
0
16
16
4
4
4
4
0
8
16
0
0
0
0
0
0
0
8
17
0
0
0
0
8
0
0
2
16
16
16
0
1
5
4
8
0
0
4
8
8
0
0
0
0
2
8
0
8
0
0
1
1
32
0
1
0
0
8
8
8
8
16
1
9
16
0
24
16
16
2
8
8
8
8
24
24
24
8
4
4
4
16
16
4
8
8
0
0
16
0
24
8
16
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
8
8
1
24
0
16
16
0
8
2
2
2
0
0
0
0
7
7
8
0
8
12
0
8
0
0
0
1
8
0
2
2
0
16
16
0
8
8
8
0
0
16
16
16
8
8
8
8
0
0
8
9
9
0
24
0
0
0
0
20
4
0
0
0
0
0
16
8
16
0
0
0
0
0
0
8
8
0
8
0
0
24
24
24
16
3
3
3
0
0
8
8
8
2
2
36
36
0
0
0
0
8
16
16
0
8
8
0
0
0
8
8
20
20
22
16
0
8
8
16
0
0
0
16
17
17
0
0
8
0
0
0
1
8
8
8
8
20
28
28
0
0
0
4
0
4
8
8
8
2
8
0
8
0
8
8
8
16
16
16
16
8
8
0
8
8
0
16
16
8
0
0
0
4
12
8
8
8
4
4
0
0
8
8
1
8
8
8
8
0
8
8
8
0
16
0
17
24
8
0
16
4
8
8
8
32
32
32
0
8
16
24
8
8
0
24
16
8
0
1
24
24
24
0
0
0
0
24
24
24
24
0
0
4
4
0
0
8
16
8
0
8
8
1
1
0
8
0
0
10
16
1
0
0
0
0
0
33
33
0
8
8
0
8
8
16
16
16
0
4
0
8
8
16
16
1
8
8
16
16
0
0
0
0
0
8
8
8
8
8
0
0
8
0
0
0
9
0
0
0
0
0
0
0
8
1
8
8
18
8
8
0
0
16
0
2
1
1
1
4
8
0
6
8
0
0
0
0
9
9
8
8
24
24
8
0
7
1
0
16
8
8
4
4
4
4
4
4
8
0
1
0
16
16
8
8
24
0
8
0
0
0
0
0
0
8
8
2
20
16
16
16
8
8
8
0
0
16
16
8
8
0
0
0
4
16
16
16
16
16
8
0
0
0
4
8
0
0
0
16
8
4
2
8
16
16
1
0
0
16
0
0
8
8
0
1
0
0
8
2
2
32
0
32
0
0
16
1
6
6
8
0
8
8
16
15
0
0
0
0
16
1
0
0
0
0
0
0
8
4
0
20
4
4
0
0
1
24
0
4
2
0
2
8
8
0
0
1
16
8
8
8
0
16
0
0
0
8
0
0
0
0
0
0
0
16
0
0
0
4
0
0
0
2
8
8
0
8
0
4
4
16
0
0
0
16
16
16
0
16
0
8
8
16
16
12
16
0
0
0
0
0
4
4
0
0
0
11
0
16
4
24
2
2
0
6
1
4
0
8
13
13
8
8
0
4
0
0
0
0
32
0
0
0
0
0
0
8
8
16
16
0
0
0
0
0
2
0
8
8
0
0
8
8
8
2
24
8
0
25
4
1
1
16
8
8
0
0
0
24
16
16
16
8
8
0
16
19
16
16
8
1
12
12
8
0
16
0
0
0
0
0
0
4
4
0
0
16
16
16
0
8
8
0
0
0
8
0
0
0
0
1
0
0
0
0
16
0
24
24
0
0
0
1
1
8
2
4
32
32
0
8
8
8
8
1
16
16
23
0
4
0
8
8
8
8
8
8
16
16
0
0
0
8
8
8
0
12
8
8
8
8
8
0
34
8
8
0
0
8
16
0
6
0
8
0
0
0
16
0
16
16
16
0
0
0
0
0
38
0
14
0
0
0
0
16
16
2
0
0
1
0
8
8
24
4
0
0
0
0
0
0
0
0
1
8
8
16
8
0
0
0
0
0
24
16
16
0
0
0
8
8
2
8
8
8
0
8
0
8
4
4
0
8
0
34
9
0
0
16
16
8
8
4
9
0
0
0
0
16
16
1
0
0
0
0
16
16
0
0
8
0
0
8
0
0
0
4
8
0
16
2
4
0
8
0
0
0
0
8
8
0
1
1
1
0
0
0
0
0
8
9
9
0
0
0
0
16
16
16
0
24
24
0
8
1
12
0
0
12
8
0
0
0
0
0
0
0
4
0
0
0
0
4
4
0
0
0
16
0
0
0
1
0
0
0
8
0
0
0
0
16
8
16
0
0
4
32
16
12
12
4
4
1
8
8
16
16
0
34
8
8
8
16
14
14
14
8
0
24
0
0
0
8
5
5
16
16
0
16
0
0
2
2
0
0
0
0
0
36
16
16
8
32
32
28
8
0
16
0
0
0
0
0
16
4
8
8
0
0
0
0
16
24
0
17
0
0
0
0
16
18
18
18
18
8
8
0
0
0
20
20
10
0
0
0
0
0
0
0
0
0
8
8
8
32
32
0
0
0
16
0
0
0
0
0
16
9
9
0
0
8
0
8
8
0
0
8
32
8
19
19
62
4
4
4
4
4
0
8
8
8
10
8
0
4
4
16
8
0
0
2
16
16
0
0
8
8
8
0
8
8
0
24
24
0
0
16
0
1
1
8
8
8
8
0
0
4
0
0
0
8
24
8
8
8
0
0
0
0
0
0
0
0
0
0
2
0
16
16
16
0
0
0
0
0
0
0
27
0
8
18
16
18
16
16
16
16
16
4
4
16
0
1
16
8
0
0
0
8
0
8
0
0
0
0
0
8
20
20
20
16
8
24
0
0
0
0
0
8
8
26
24
0
0
0
0
16
16
16
16
0
0
8
8
8
16
16
2
20
20
8
0
0
0
0
0
0
1
0
0
8
8
8
0
0
8
0
16
0
20
20
0
24
24
24
0
2
0
8
16
8
8
24
8
8
0
0
0
0
8
16
0
0
0
0
0
8
8
0
8
16
4
4
0
0
1
0
0
0
0
16
0
8
8
0
8
32
56
0
8
8
0
0
0
17
17
16
0
0
8
0
8
20
0
0
16
2
0
0
0
0
15
0
0
0
0
0
1
0
0
0
16
8
8
16
1
16
0
0
0
0
0
0
0
0
20
20
20
20
0
0
0
0
0
0
8
8
8
8
8
0
0
16
0
8
4
0
8
8
0
16
16
8
4
8
0
0
0
0
0
8
8
8
8
0
16
25
8
0
0
0
0
8
32
0
1
16
16
16
0
8
8
4
4
16
16
20
0
0
0
1
0
0
24
4
8
8
0
0
16
8
8
8
8
8
4
0
1
9
9
16
16
0
0
16
32
32
32
13
0
0
0
0
0
16
0
0
0
0
8
8
0
0
0
0
0
8
8
0
0
8
0
0
0
0
8
8
8
8
0
40
40
40
16
0
8
32
8
1
1
0
2
32
8
0
16
16
0
0
16
16
16
8
8
0
0
0
0
8
8
8
8
8
8
14
0
0
0
16
16
0
17
0
0
0
8
8
0
8
0
8
16
24
24
24
0
8
2
2
0
24
0
1
1
0
0
42
42
42
0
0
0
0
0
8
8
12
1
1
0
8
12
0
4
0
0
0
8
0
0
2
2
2
0
4
4
4
0
0
0
0
0
0
0
16
4
1
1
1
0
0
8
1
0
8
8
20
20
8
8
0
18
18
0
0
0
2
16
0
0
0
0
0
0
8
8
8
8
44
8
8
0
8
8
0
8
0
0
0
0
8
8
8
0
4
21
0
0
0
0
0
0
0
0
0
0
24
0
0
12
4
16
4
0
0
16
8
8
0
0
16
8
8
0
0
0
2
2
16
0
0
0
24
0
8
8
20
0
1
0
0
0
0
0
0
0
32
16
0
0
0
0
0
0
8
8
0
0
1
16
8
18
8
8
0
0
0
0
0
0
0
0
0
0
5
32
8
16
8
0
8
0
8
8
8
8
8
8
0
0
8
0
0
8
0
0
0
8
8
21
0
0
0
8
0
8
8
0
0
4
0
22
0
8
0
0
0
0
0
0
2
8
8
0
0
0
0
0
0
0
0
0
0
0
0
2
2
8
8
16
16
16
18
0
8
8
8
0
0
16
16
0
10
16
16
4
16
18
18
0
0
32
0
0
0
0
0
0
8
8
8
8
16
8
2
0
0
0
0
0
2
2
0
0
8
8
0
0
0
0
0
0
4
50
0
0
4
0
8
8
16
0
0
0
0
0
0
0
0
23
0
0
16
16
0
0
0
8
18
18
18
32
32
24
4
0
0
0
8
8
25
16
16
0
8
8
8
0
1
1
8
8
0
0
8
8
0
0
0
0
16
16
16
0
0
1
0
0
0
12
0
48
48
48
8
20
0
4
16
16
4
4
0
0
16
16
16
0
0
0
0
0
16
57
57
8
8
8
8
8
0
0
0
0
0
17
17
17
0
0
0
0
16
0
0
16
16
0
0
0
8
0
0
0
0
16
16
0
16
16
4
16
16
0
0
8
8
0
0
0
8
0
0
0
4
4
16
4
30
0
0
8
8
0
0
0
4
4
8
8
0
9
0
32
8
8
4
0
8
16
16
4
4
8
0
0
2
2
8
0
0
4
0
0
0
0
57
32
0
8
8
0
0
16
0
16
48
8
8
16
16
16
16
16
16
16
16
16
16
0
8
10
8
0
8
1
0
1
1
1
0
0
0
8
0
0
8
8
0
2
2
2
4
16
16
13
0
0
8
8
0
8
8
0
1
0
1
0
0
0
0
0
0
8
8
0
10
8
8
8
16
16
16
16
16
26
26
26
8
8
0
0
4
0
0
0
0
12
0
0
0
8
0
0
8
0
8
8
8
8
0
32
0
0
0
16
8
24
0
0
0
16
16
0
0
0
0
16
16
16
16
18
8
0
4
4
0
16
16
0
0
0
0
16
0
0
16
16
0
0
4
8
8
8
0
0
8
8
16
2
8
8
8
16
4
4
0
0
0
0
24
0
0
0
8
8
2
2
16
16
16
16
0
0
2
2
0
0
8
8
56
0
0
0
1
1
1
0
4
8
8
0
25
25
0
0
0
0
16
8
8
8
8
8
8
8
8
8
8
0
0
6
0
8
8
0
0
1
1
0
8
24
0
8
8
8
0
0
0
0
0
16
0
0
0
0
8
8
4
24
8
16
0
0
0
0
8
8
8
8
8
0
16
16
0
4
4
20
4
0
36
8
8
8
0
0
1
0
0
4
0
0
9
1
0
8
8
0
0
4
4
0
0
0
0
0
0
0
0
8
0
32
32
0
12
0
0
0
0
0
0
0
0
38
0
0
0
0
0
4
4
0
2
0
0
0
16
16
8
8
8
2
2
0
8
0
0
16
8
3
1
0
0
0
1
0
4
8
8
12
12
0
0
32
32
32
32
32
0
0
0
8
0
6
8
1
8
0
0
0
6
8
0
0
0
0
0
0
0
1
20
20
20
20
16
8
0
32
0
0
0
0
0
16
4
4
0
4
0
0
0
8
8
8
0
0
19
0
16
16
0
0
17
17
0
1
1
4
0
1
1
1
0
4
16
0
24
24
0
16
16
0
0
0
0
4
4
8
0
0
0
8
16
16
16
8
0
0
8
16
0
0
0
0
0
0
0
0
0
16
0
8
4
0
0
4
0
4
0
4
4
8
0
0
0
8
24
24
12
8
0
16
0
0
8
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
16
0
0
4
4
4
8
8
0
8
32
32
32
32
0
0
8
8
8
28
8
2
59
4
0
0
10
0
20
20
20
24
0
0
16
8
24
8
16
0
4
0
0
0
0
0
0
0
0
0
8
16
16
16
0
0
0
0
0
0
4
2
2
0
0
18
0
8
8
8
0
8
0
8
4
8
8
0
0
0
8
2
0
0
0
0
0
0
0
4
16
0
16
0
0
16
0
0
8
0
8
8
1
0
16
16
4
0
8
8
8
8
0
16
0
0
0
0
8
8
12
8
2
2
0
0
4
0
8
8
8
16
0
8
8
4
20
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
4
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
8
20
20
8
0
0
1
0
4
0
20
10
8
28
28
0
4
8
9
8
0
0
0
0
0
3
3
24
16
16
8
0
0
0
0
16
0
0
0
0
16
16
16
0
0
0
8
0
0
0
0
16
1
2
2
8
2
2
8
0
8
8
8
0
0
2
2
0
0
0
1
1
1
9
24
16
16
0
16
8
1
0
0
10
0
0
24
24
8
1
8
16
16
16
0
0
0
0
0
0
0
8
0
34
34
2
20
20
20
0
1
0
0
2
0
8
13
8
0
0
0
0
0
0
0
0
0
0
19
0
10
8
8
16
16
0
0
16
16
8
8
0
8
8
8
8
4
0
28
0
0
0
8
8
0
2
2
0
0
0
0
16
8
0
1
0
2
2
2
5
8
8
8
10
0
0
0
0
0
8
0
1
1
4
0
16
16
16
34
16
1
4
4
0
2
0
16
0
16
16
16
0
16
0
0
0
0
0
8
8
8
8
0
0
0
0
4
4
4
0
0
8
8
8
1
0
16
0
16
16
8
0
8
0
0
0
0
16
0
0
24
4
16
16
8
0
0
24
24
0
8
0
16
8
8
8
0
20
0
0
0
0
0
0
0
16
16
0
0
1
0
16
24
16
16
0
0
0
0
0
1
1
8
0
16
30
16
1
1
1
1
16
4
4
8
8
8
0
8
1
1
0
8
8
2
2
37
37
37
8
0
0
0
0
16
16
16
16
2
2
0
0
0
0
0
0
24
24
0
0
8
0
0
16
16
16
0
2
16
0
0
0
8
8
0
0
0
0
0
0
8
8
0
0
0
4
0
0
0
0
0
0
0
0
0
1
0
0
0
8
0
0
16
0
0
20
16
8
8
8
0
0
8
8
8
0
0
0
0
0
0
8
0
8
1
1
8
8
8
16
16
0
0
16
16
21
8
8
0
0
8
8
0
4
48
48
0
4
0
8
16
16
0
0
8
0
0
8
8
0
0
20
0
0
0
20
16
16
16
0
0
8
0
8
10
1
1
1
0
8
16
0
8
8
8
8
16
16
16
16
16
16
0
0
0
0
0
0
0
2
16
0
8
8
0
8
0
10
8
8
0
0
17
16
16
16
16
2
8
8
7
0
1
0
8
8
0
0
0
0
8
0
0
16
8
0
8
0
0
16
16
16
8
8
8
8
8
8
1
1
8
8
0
0
0
1
2
16
16
0
35
35
35
0
0
0
0
0
0
0
4
4
4
4
1
8
4
8
8
8
8
0
0
0
10
8
0
0
8
0
0
0
0
0
0
0
0
0
4
8
0
1
1
0
0
16
16
0
0
17
17
8
0
8
2
2
2
16
18
18
16
2
16
0
0
0
8
8
0
0
0
0
16
16
24
0
8
0
0
2
0
2
0
0
32
2
8
10
8
8
8
17
0
8
8
8
4
4
4
0
8
10
10
10
12
0
0
6
0
0
24
24
0
0
8
0
0
0
0
0
1
1
49
0
10
0
0
4
16
24
0
0
0
8
0
0
0
0
0
0
4
4
4
4
0
0
8
8
8
0
0
16
0
8
8
0
0
0
16
16
0
40
0
0
2
8
8
0
8
8
4
16
1
1
1
0
8
0
0
0
0
0
0
0
0
19
8
0
0
0
0
0
0
16
16
16
16
16
16
16
16
16
16
16
16
16
0
0
0
16
0
6
2
32
0
0
0
2
6
0
0
8
32
0
0
0
0
8
8
8
2
0
0
0
0
0
32
0
0
0
17
0
0
0
0
0
0
8
16
16
0
0
0
0
0
24
0
8
8
0
20
20
0
0
0
0
12
0
0
0
0
0
0
0
0
0
0
0
16
1
17
17
17
0
4
0
0
0
0
0
0
0
8
1
1
1
9
8
24
24
32
32
32
32
0
12
24
8
0
16
16
0
0
4
4
8
16
0
18
8
8
0
0
0
0
0
8
0
0
4
4
8
8
0
0
0
0
0
0
0
0
0
0
0
0
4
4
4
18
0
0
0
0
0
0
0
0
0
0
0
0
0
6
2
16
16
8
0
0
24
8
0
0
4
0
4
0
14
16
16
40
40
4
24
0
16
16
4
4
8
8
0
0
1
0
0
8
8
16
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
2
2
1
1
8
1
32
32
8
2
24
8
33
33
8
0
8
2
0
18
18
16
20
8
1
2
4
4
2
2
2
16
1
0
8
8
0
0
8
0
0
0
0
0
0
4
0
16
0
0
16
0
0
8
0
8
0
8
0
8
0
0
0
0
8
8
8
16
16
0
8
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
8
0
0
32
0
0
2
2
2
2
0
0
0
0
21
0
16
0
12
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
16
16
0
0
4
0
0
0
0
1
8
0
0
0
2
8
0
0
0
0
0
8
0
0
0
8
8
8
0
0
0
0
0
0
8
0
0
0
1
0
0
4
0
0
0
0
0
0
8
0
0
20
20
8
8
8
8
8
8
8
0
0
0
0
8
8
0
0
0
16
0
0
0
0
0
0
8
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
60
8
0
8
0
0
2
25
4
0
0
11
0
56
0
1
13
13
13
4
4
0
13
16
0
0
0
0
0
0
0
8
0
0
0
0
0
0
8
8
0
8
8
16
16
0
0
0
18
8
8
0
0
0
0
8
16
0
0
0
0
0
6
0
0
0
0
0
0
0
0
8
8
0
0
16
8
8
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
8
0
16
16
16
0
0
16
1
16
29
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
5
0
6
0
0
0
0
0
20
0
16
4
0
0
0
0
0
0
0
32
32
0
0
0
0
8
8
0
0
0
21
21
0
0
8
2
0
0
0
0
24
4
8
8
0
0
8
0
0
0
16
0
0
8
8
8
8
52
48
0
0
2
8
0
1
1
0
0
0
0
16
16
0
16
16
0
0
0
0
0
0
29
0
0
12
12
12
28
0
0
0
0
20
0
8
4
4
16
16
0
8
0
18
0
8
0
0
0
0
8
8
4
4
8
0
0
2
0
16
28
28
28
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
16
16
0
0
0
0
0
0
8
0
4
0
20
0
0
8
8
16
16
9
0
0
32
32
0
2
8
1
1
16
16
0
2
32
16
8
8
4
0
8
8
8
8
8
8
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
8
0
0
0
8
0
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
0
0
0
4
4
0
0
0
1
8
24
0
2
0
8
0
0
0
0
16
0
16
0
0
0
0
0
0
0
9
0
0
0
0
0
0
0
0
0
0
9
16
0
8
8
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
24
0
2
2
2
2
0
0
8
8
0
8
8
8
8
0
8
0
0
8
16
4
4
4
0
0
0
16
8
0
0
0
0
0
0
0
0
0
0
16
0
0
8
12
0
4
0
4
0
0
2
4
32
0
0
0
0
0
0
0
0
0
16
0
4
8
0
0
8
8
34
8
0
0
13
0
0
24
0
0
1
0
17
4
0
0
0
0
0
0
4
0
0
4
16
16
0
0
0
16
0
18
2
16
0
0
2
2
2
0
0
0
0
0
0
1
16
16
0
24
4
8
0
1
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
10
16
16
34
0
16
0
2
0
0
0
48
4
4
0
4
4
0
17
16
16
16
0
0
0
8
8
0
8
0
0
0
4
0
0
0
0
4
0
0
0
0
0
8
24
8
0
0
0
0
0
0
8
8
8
0
0
0
0
8
0
0
8
0
0
0
2
8
8
8
8
0
8
8
0
0
0
16
4
0
0
0
4
32
0
8
0
0
16
8
8
0
0
0
0
0
9
9
2
8
8
8
0
0
0
4
0
0
2
18
0
8
0
0
24
0
0
0
2
0
0
16
0
0
0
0
0
0
0
0
0
0
4
2
4
0
0
0
14
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
20
0
0
0
12
0
0
24
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
2
0
0
0
0
0
8
8
0
0
0
0
0
0
8
8
8
0
0
8
8
0
0
8
0
0
0
8
0
0
0
0
0
8
8
16
0
16
4
0
9
0
8
0
0
0
0
0
0
0
0
36
8
0
0
0
0
0
2
16
0
0
0
4
4
0
0
8
40
40
1
1
0
0
0
0
0
16
0
0
0
0
12
8
0
0
8
2
2
8
16
16
0
4
0
0
0
0
0
4
0
0
1
33
0
0
0
0
0
0
20
20
20
16
16
0
18
18
18
0
0
0
2
0
8
8
8
8
16
16
4
4
4
0
0
16
8
16
0
8
2
12
20
4
0
9
9
0
0
0
0
16
8
0
24
8
0
0
0
4
16
16
16
16
59
59
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
16
0
0
0
0
0
0
4
0
0
4
4
5
0
0
0
0
0
0
0
1
0
4
4
4
4
24
24
24
0
0
0
8
8
0
8
1
1
1
0
4
4
0
16
0
0
0
0
0
24
1
1
0
0
1
16
16
5
0
8
20
10
8
2
10
8
8
0
0
16
16
16
16
16
0
6
4
4
8
0
0
8
2
4
4
0
0
1
0
0
0
2
4
0
16
2
0
0
0
16
0
4
4
0
8
32
8
0
4
4
4
0
0
0
0
8
8
0
4
8
1
0
0
0
6
0
0
0
0
0
2
2
2
0
16
1
0
16
8
1
0
4
0
0
0
0
0
0
0
0
0
0
0
4
8
1
1
0
16
16
0
0
0
8
8
0
0
0
26
0
0
0
0
0
8
8
8
0
24
8
0
0
0
0
0
20
0
8
5
8
0
0
2
0
8
17
4
8
0
4
0
0
0
0
12
0
0
0
0
0
0
4
4
4
0
0
0
0
0
14
0
0
0
4
4
4
17
20
16
17
0
8
8
0
0
8
4
20
0
0
0
0
16
16
24
8
12
0
0
0
25
0
0
16
0
4
4
4
0
0
8
8
0
24
8
0
0
4
0
9
0
0
0
0
0
0
0
5
0
0
8
0
0
16
0
16
0
0
8
0
1
0
8
8
8
0
16
0
6
4
0
0
0
4
4
0
0
29
0
16
0
0
8
48
32
4
4
4
0
0
1
0
20
20
20
0
16
0
0
0
0
0
0
0
0
11
11
18
18
48
4
4
0
0
8
0
16
20
4
16
8
8
16
16
0
0
20
0
0
8
0
12
12
0
24
24
8
2
2
2
0
8
0
16
0
0
0
8
0
16
0
16
1
3
0
0
16
0
0
0
0
0
0
0
8
8
8
16
16
16
16
0
0
0
8
16
0
16
0
8
0
16
16
0
0
16
16
16
0
0
36
0
53
0
0
16
0
0
0
0
0
0
2
2
0
0
0
16
0
0
0
0
8
8
0
0
8
8
0
0
0
0
0
0
8
6
0
0
2
16
0
8
52
0
25
0
0
4
8
0
0
16
8
8
8
8
8
0
8
0
8
8
0
8
1
8
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
16
24
4
4
4
0
0
16
0
0
0
8
8
8
8
8
8
8
16
0
0
0
0
0
0
0
0
0
0
0
8
4
8
8
18
8
8
4
0
0
24
24
8
8
0
0
24
24
24
0
0
12
16
0
16
0
12
12
0
0
0
0
0
0
5
0
16
0
0
0
16
16
16
16
8
8
6
6
6
16
8
0
0
0
8
8
0
0
0
0
0
0
4
0
0
0
0
0
0
24
0
0
8
8
0
8
0
10
10
0
0
0
0
24
24
24
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
8
8
8
0
2
0
0
0
0
0
0
8
8
0
16
8
12
12
4
16
0
0
0
0
0
0
16
0
0
32
4
4
0
0
0
8
0
9
25
40
40
40
0
0
0
0
0
0
8
25
8
0
4
0
0
0
0
0
0
16
16
8
0
24
16
16
8
8
8
16
0
0
8
1
1
16
0
4
4
0
0
0
0
8
0
7
7
7
8
0
16
16
4
0
0
16
16
0
0
0
0
0
0
0
4
0
16
9
0
0
0
0
0
0
4
8
4
0
0
0
0
0
0
16
16
16
24
8
16
0
0
1
0
0
0
0
0
8
0
0
0
0
0
0
0
8
0
0
0
0
2
8
0
0
16
0
0
16
1
0
0
8
8
0
8
8
16
16
5
16
16
56
56
1
1
8
8
8
8
8
16
16
16
0
0
0
0
2
8
0
8
0
0
8
8
0
0
0
0
9
0
16
8
1
0
0
0
0
16
0
16
4
0
0
0
8
0
8
25
25
2
0
8
0
8
2
0
4
8
0
0
8
8
8
8
12
0
8
8
8
0
0
2
8
0
0
0
0
0
0
0
24
0
0
16
16
8
8
0
0
0
0
16
0
0
0
4
0
0
0
16
0
0
4
0
0
0
0
0
2
16
0
0
1
0
0
0
0
0
0
0
0
16
0
0
16
0
0
8
4
16
2
4
4
4
4
0
0
17
32
0
8
16
0
0
8
32
1
1
8
0
16
0
4
0
0
4
16
16
16
16
16
8
16
0
0
18
0
8
0
0
0
2
2
16
0
0
0
0
16
0
0
0
0
0
0
0
16
0
0
16
16
16
16
11
0
0
25
0
0
0
0
20
4
0
0
3
8
0
0
0
8
16
0
0
0
0
0
8
5
0
0
4
4
16
0
1
1
17
0
0
0
0
24
0
0
0
0
12
4
0
0
0
0
0
16
16
16
16
16
8
8
8
18
1
8
0
4
0
0
0
0
0
2
24
16
0
8
8
56
56
4
0
0
0
0
16
4
4
8
0
0
0
4
4
0
1
0
0
0
0
0
8
0
0
10
10
0
0
0
9
9
4
16
16
1
1
0
0
16
16
0
0
0
0
0
0
2
0
2
0
0
0
0
0
0
8
0
24
0
0
0
0
0
0
0
0
32
32
0
0
0
0
2
2
2
2
1
6
2
0
0
0
8
0
0
0
8
8
8
8
16
28
0
0
8
0
0
0
4
4
8
8
0
0
0
0
16
0
0
16
0
4
0
0
8
8
8
0
0
0
0
0
0
8
0
0
0
4
4
0
16
16
0
0
0
0
16
2
2
1
1
1
1
1
0
0
3
3
3
20
16
16
8
4
0
0
1
24
16
0
8
0
0
8
0
0
0
0
16
16
0
0
0
0
0
4
0
0
0
4
0
0
2
2
0
0
40
40
40
0
0
16
0
16
16
0
8
0
0
0
0
0
0
8
0
0
12
12
16
16
8
0
0
16
16
16
4
4
0
0
20
0
0
0
0
0
0
0
0
0
0
0
0
0
4
2
0
0
0
16
7
7
7
7
0
0
2
0
0
16
16
0
16
6
8
16
16
16
0
0
0
2
8
0
0
16
16
8
8
25
4
4
16
16
0
0
0
0
0
0
0
0
0
4
4
0
0
0
0
0
0
0
32
8
8
0
8
8
0
0
0
0
0
0
29
1
2
0
0
0
8
4
4
0
6
9
16
0
0
0
0
0
24
0
0
5
5
5
8
0
0
0
0
4
0
0
0
0
0
0
0
0
16
4
0
0
0
0
24
9
0
1
8
8
0
0
8
8
0
12
0
0
0
0
0
16
16
16
16
16
0
0
34
8
8
0
0
0
8
0
0
0
2
2
2
8
8
0
24
0
0
0
0
0
16
16
0
0
16
0
8
8
8
0
8
1
16
0
0
0
0
0
1
0
8
16
0
0
0
0
0
0
4
16
0
16
16
0
16
2
8
0
32
0
0
8
8
8
0
0
0
0
8
0
0
0
0
0
8
0
0
20
0
0
16
0
0
0
0
0
0
8
0
0
0
8
8
0
8
0
3
3
3
4
4
0
0
0
16
16
4
0
0
0
0
2
2
0
8
8
0
0
0
0
4
0
0
0
8
0
0
0
0
4
0
5
0
0
0
0
16
8
0
0
0
0
0
0
8
0
0
16
20
0
8
8
8
8
4
4
0
0
0
0
13
0
0
0
0
0
0
0
0
0
8
8
4
4
4
4
0
8
8
0
0
0
0
8
8
8
0
8
0
1
32
0
0
4
4
8
8
4
0
0
16
8
0
0
0
0
8
16
0
0
0
0
0
0
0
0
0
0
0
0
0
3
4
20
20
0
4
8
8
1
0
4
0
0
0
0
0
16
1
0
16
16
8
8
0
0
0
0
4
8
0
0
0
0
29
29
8
0
0
0
0
0
0
0
0
24
16
0
0
0
0
8
21
8
8
8
8
8
8
8
8
0
0
16
16
0
0
0
48
0
4
4
0
4
4
0
0
0
0
0
0
8
0
0
0
26
0
0
8
1
4
0
8
8
2
0
4
0
0
0
0
0
0
0
0
16
16
0
0
0
8
0
0
0
0
0
0
8
8
0
16
16
19
0
0
0
25
0
0
0
16
2
8
0
0
20
0
0
0
0
0
0
0
0
0
10
8
56
8
0
0
19
0
0
16
0
0
0
0
16
16
0
0
4
4
0
4
0
0
0
0
0
16
16
16
16
16
16
4
16
8
0
16
0
8
8
0
0
0
0
0
0
8
0
0
16
16
1
1
8
8
2
2
0
0
0
0
0
0
8
0
0
0
0
1
0
0
0
0
0
0
0
16
0
0
0
8
14
0
0
0
0
0
16
8
0
0
8
8
4
16
16
0
22
22
0
0
0
0
0
0
0
8
8
8
0
8
4
4
20
20
8
4
0
8
16
0
0
1
0
0
0
0
0
0
0
0
0
0
9
1
19
0
0
8
8
0
0
20
20
20
4
4
4
1
1
0
16
0
8
0
0
0
0
8
0
4
0
0
0
0
0
0
0
0
2
2
2
2
2
0
0
0
0
0
2
0
0
16
16
16
16
0
8
8
8
0
0
8
0
0
1
16
24
0
0
0
0
0
0
0
0
0
0
12
4
8
0
0
20
0
0
24
24
8
16
8
0
0
0
0
0
0
0
8
0
0
8
0
0
0
0
0
12
0
0
0
0
0
0
0
0
0
4
8
8
0
0
8
0
0
0
0
3
0
32
0
16
0
16
16
0
16
41
0
0
0
0
8
8
8
16
0
0
0
16
4
8
0
0
0
0
0
32
8
1
16
0
4
0
0
10
10
4
4
4
0
8
0
0
2
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
8
8
8
8
0
0
0
0
0
0
0
0
0
0
16
8
0
8
24
8
32
0
0
8
0
0
3
2
8
3
0
0
0
0
0
0
0
4
4
0
0
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
1
1
0
0
0
8
0
8
0
8
8
8
0
16
0
8
16
0
0
0
0
0
0
0
0
8
8
8
16
16
12
16
8
0
0
0
0
0
0
0
8
0
0
0
0
0
0
8
8
8
0
24
24
24
24
8
8
8
0
0
24
0
22
0
8
16
16
0
8
8
0
0
0
16
16
0
0
0
8
0
8
8
0
0
0
8
0
16
0
4
4
0
0
8
0
1
1
0
9
9
0
0
0
1
4
32
0
8
0
2
0
0
16
2
0
0
0
0
1
0
40
32
32
0
0
0
8
0
0
1
1
0
0
0
4
0
16
16
16
0
0
0
2
2
16
16
0
20
5
5
0
0
2
8
1
0
0
0
0
0
0
0
0
8
0
0
0
0
8
8
8
0
24
4
24
0
0
0
1
0
0
0
0
0
8
8
8
20
20
0
0
0
27
16
16
16
0
16
4
4
36
0
0
16
16
0
0
0
0
0
8
8
4
0
0
0
24
0
0
0
8
8
8
8
8
2
16
8
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
12
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
4
0
0
0
0
0
0
0
8
16
16
32
32
40
16
8
0
0
0
8
0
0
0
32
32
2
8
8
0
0
0
4
0
4
4
0
0
4
0
0
0
0
0
0
0
20
0
0
12
12
0
0
0
0
0
0
0
8
0
8
0
8
8
0
0
8
8
8
8
0
0
8
8
9
0
0
0
0
0
6
16
0
0
0
16
32
32
16
4
4
4
0
0
0
0
16
0
0
0
4
0
18
0
0
0
0
8
4
4
2
0
8
0
1
0
8
0
8
8
8
8
0
14
8
20
16
0
0
16
0
4
8
4
0
8
0
32
1
25
0
0
0
12
0
0
0
0
0
6
0
24
0
1
0
0
0
0
0
0
0
0
4
0
8
0
8
16
0
0
0
0
8
0
0
0
0
6
6
16
0
0
0
0
0
16
16
16
8
0
0
0
8
32
8
8
0
48
48
0
0
0
0
0
0
8
8
0
2
2
16
0
0
8
0
4
4
0
0
8
0
0
4
0
4
0
0
0
0
0
8
0
0
0
0
0
0
0
0
30
0
16
52
0
0
0
0
0
0
0
0
0
0
8
8
8
0
41
0
16
16
15
15
8
20
22
16
16
16
16
16
16
8
0
8
0
0
0
0
16
0
0
0
0
0
0
0
8
4
0
0
0
0
0
2
2
2
0
0
0
0
0
16
8
8
8
8
8
8
8
8
8
8
0
8
8
8
0
0
0
8
8
0
0
0
0
0
0
16
0
8
8
16
0
1
1
0
32
0
0
0
8
0
1
0
0
56
8
12
12
0
0
0
0
0
0
0
33
33
49
8
20
0
0
0
0
4
4
0
0
0
0
2
0
0
4
4
21
0
0
0
0
0
0
0
8
8
20
0
0
0
2
0
0
0
0
0
0
0
0
0
8
48
0
0
0
2
0
0
0
0
0
24
24
0
0
0
0
0
0
0
0
2
2
1
1
0
0
0
0
0
0
2
0
0
0
0
0
16
20
0
8
0
0
24
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
1
0
0
0
0
0
0
0
0
4
0
16
0
0
0
0
2
2
1
1
0
0
0
0
8
0
1
1
16
16
8
2
0
0
16
16
0
0
8
2
2
0
20
0
8
0
16
0
8
8
8
8
8
8
8
8
0
0
0
0
8
8
8
16
16
8
8
8
0
0
0
0
0
0
0
8
8
0
0
9
18
0
0
0
0
0
0
0
16
16
16
8
8
0
0
8
0
8
8
4
0
0
0
0
0
16
0
1
0
0
0
0
0
0
0
0
0
8
0
32
16
16
0
0
0
16
2
0
8
0
0
4
4
4
4
0
0
0
0
28
0
8
0
0
0
0
4
0
0
8
8
2
8
0
0
0
0
48
48
0
0
0
0
0
32
8
0
0
0
0
2
4
0
0
16
0
0
0
1
0
0
0
0
1
0
4
8
0
0
0
0
0
0
5
16
16
0
8
4
0
0
0
0
8
0
33
24
0
4
8
0
0
0
4
0
1
1
4
1
0
0
24
0
0
0
0
0
0
0
0
0
0
0
0
0
20
20
8
16
16
0
0
0
0
0
48
0
0
0
0
8
0
0
0
4
0
0
0
20
0
16
0
8
8
0
16
0
1
16
8
8
8
12
12
0
0
0
18
0
0
0
16
0
0
0
24
24
24
8
0
0
1
16
16
0
0
0
0
8
8
8
0
0
0
8
35
0
0
2
0
0
8
0
1
21
16
4
4
4
0
16
16
16
16
0
1
0
0
0
0
0
0
6
4
9
0
0
0
16
0
0
0
2
0
0
1
0
0
8
6
6
0
0
16
16
0
0
0
32
32
32
0
0
0
0
8
8
0
0
0
8
8
0
28
16
24
0
0
16
0
0
0
0
0
20
8
0
0
0
0
8
8
0
8
0
0
0
15
8
0
0
0
0
0
16
0
0
0
24
24
0
0
16
0
8
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
4
0
20
16
0
0
8
0
8
0
16
0
0
0
0
0
0
0
0
0
8
0
0
0
0
8
8
0
0
0
0
0
0
0
10
0
0
0
24
56
0
0
0
16
16
1
8
0
0
0
0
16
1
16
1
0
16
0
24
24
0
12
12
0
8
8
0
8
1
1
4
8
0
24
0
0
2
4
0
0
0
0
8
8
8
8
0
0
0
8
4
4
0
0
0
0
0
0
0
1
0
0
12
16
16
0
0
16
0
0
16
8
8
8
16
0
2
0
0
8
8
0
0
8
1
0
0
3
3
16
0
0
0
0
0
8
24
0
8
0
2
0
0
16
16
0
0
0
26
8
8
0
0
0
0
8
0
0
0
0
28
0
0
0
0
0
0
0
0
0
0
0
8
0
2
0
0
16
16
16
16
2
4
0
0
0
0
0
0
0
24
0
0
2
0
0
0
0
0
0
2
0
0
0
0
0
32
32
0
25
16
16
0
0
0
32
0
2
0
16
4
0
8
8
0
0
0
8
8
8
0
8
8
8
8
8
8
0
0
0
0
8
8
0
8
19
48
16
8
24
24
0
0
0
2
2
0
0
16
16
16
0
1
0
0
0
0
0
16
0
16
0
0
0
4
4
4
0
24
8
8
8
8
18
0
0
24
24
0
0
0
0
0
0
0
8
0
0
0
8
8
8
1
0
16
16
8
16
0
0
0
0
8
8
16
0
0
0
0
0
0
1
8
0
16
16
16
0
16
0
4
14
14
0
0
0
0
8
1
1
0
0
0
0
8
0
0
0
0
0
0
16
0
0
1
0
16
16
4
0
9
0
8
8
8
8
0
0
0
1
1
0
8
8
8
0
8
8
8
0
0
16
0
0
0
0
0
0
6
0
0
0
8
16
16
2
16
0
32
0
0
0
0
0
0
0
0
0
8
8
0
0
0
8
8
16
0
8
0
0
32
0
0
0
4
4
4
0
0
0
0
8
16
16
16
2
2
1
0
0
4
4
0
16
0
16
8
8
8
0
8
0
0
0
0
0
0
0
0
0
8
8
0
32
0
8
0
0
8
24
0
0
0
0
0
0
0
6
0
0
2
2
4
0
0
0
0
12
0
0
8
0
8
0
0
0
0
0
0
1
8
0
0
8
8
0
0
0
0
8
6
0
1
16
16
16
16
16
0
8
8
12
12
2
8
0
0
0
0
4
4
0
0
0
0
8
16
48
4
0
32
0
0
0
0
16
0
0
0
20
8
8
4
2
2
0
0
0
0
0
0
8
8
0
0
16
0
0
2
2
18
18
0
0
0
0
16
16
0
8
8
10
0
16
0
0
16
16
6
0
8
0
8
0
0
0
0
0
24
24
24
24
8
8
0
0
0
0
0
0
16
1
16
8
8
20
8
8
2
0
16
0
0
4
0
0
0
0
8
0
0
0
0
16
16
0
0
0
0
8
8
4
4
0
24
0
18
0
0
24
24
0
0
0
17
9
0
0
0
0
8
8
8
16
16
0
8
8
16
4
0
0
16
32
16
16
9
0
0
0
0
0
0
5
0
0
20
18
0
0
0
0
34
34
32
0
2
2
16
8
0
8
8
0
0
4
0
20
3
0
0
0
0
0
8
8
16
16
2
0
4
4
0
0
26
8
32
32
32
32
0
0
0
0
8
0
0
16
0
4
0
16
16
16
16
48
8
0
0
8
4
4
4
4
4
2
8
2
8
16
0
0
0
0
24
24
0
0
0
0
8
0
0
16
16
16
1
8
0
0
0
4
4
0
8
8
0
0
0
8
8
0
0
0
0
0
8
0
2
0
1
0
4
4
34
16
4
8
0
0
0
10
8
8
0
0
0
0
0
8
8
8
0
0
8
0
0
0
0
16
16
0
8
8
8
4
0
0
8
8
24
2
0
0
8
0
16
4
4
0
0
0
2
8
16
0
0
0
0
8
25
0
0
0
0
0
0
0
0
8
0
0
8
0
16
4
0
0
0
0
0
16
0
0
0
0
16
0
0
0
0
0
16
0
0
8
16
16
0
0
0
0
0
0
1
0
21
0
4
0
8
8
0
0
0
0
0
8
4
0
0
16
1
0
2
0
40
40
0
0
0
8
0
8
8
32
0
8
2
2
5
1
1
0
0
0
0
24
24
24
23
23
0
0
4
0
16
2
2
0
0
0
0
0
0
4
0
16
16
8
0
0
16
16
8
0
0
0
0
0
2
34
0
8
8
4
12
0
0
2
0
1
0
10
0
8
0
0
0
16
8
16
36
36
15
8
0
0
16
0
8
0
0
0
0
0
0
0
0
8
0
0
4
0
0
0
0
0
0
0
0
16
16
17
0
33
33
0
0
8
8
0
0
16
16
16
0
0
4
4
0
4
0
0
0
0
60
0
0
0
1
1
0
0
0
0
56
0
0
0
0
16
0
8
0
0
16
0
4
0
0
0
0
32
32
10
10
16
16
0
4
0
0
4
8
0
0
0
6
20
0
0
0
0
8
1
1
16
0
0
0
0
0
0
0
0
0
0
25
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
12
0
0
0
4
22
1
1
16
9
0
0
0
0
0
0
0
8
0
0
0
8
13
0
0
4
0
0
0
0
8
8
24
8
0
0
0
0
0
16
16
8
8
8
0
8
16
8
8
8
1
0
0
0
0
0
8
8
0
0
3
3
0
0
0
4
4
8
8
8
8
0
0
0
16
0
0
2
2
8
0
0
0
16
0
16
16
16
16
16
16
0
0
0
0
0
0
18
1
1
0
0
0
0
0
0
0
12
0
4
0
8
8
8
16
16
16
0
8
4
16
16
0
1
0
0
0
0
16
0
22
22
22
0
0
32
0
0
1
0
0
0
8
8
0
0
0
0
4
4
0
0
0
16
0
0
0
0
2
0
18
18
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
20
20
20
0
12
24
24
4
0
0
0
0
0
4
0
8
8
8
8
0
0
8
8
12
12
4
0
0
0
0
0
0
0
1
0
1
0
0
8
16
16
18
2
0
0
25
0
0
0
5
16
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
8
0
0
4
0
0
0
0
0
0
0
0
0
0
0
16
24
8
0
4
2
0
0
0
0
8
0
0
0
8
8
4
4
24
0
2
8
0
10
0
0
0
1
1
2
2
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
8
8
0
8
0
0
8
0
0
0
8
0
0
0
0
1
1
0
4
4
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
8
20
20
0
0
0
16
16
0
0
0
0
0
16
0
8
8
8
0
0
24
8
0
0
0
32
32
0
0
0
2
50
0
1
16
0
0
0
0
0
0
0
1
0
0
4
0
8
8
24
0
0
0
0
24
8
0
0
0
0
0
16
0
8
8
0
0
0
0
40
8
8
0
0
12
0
20
20
20
20
1
1
0
0
0
16
16
16
0
8
17
4
40
8
8
8
0
24
0
0
0
0
8
0
0
0
0
0
0
0
2
8
8
0
0
0
12
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
4
4
4
28
12
0
0
17
0
0
0
0
0
0
8
1
0
0
0
0
0
0
0
0
0
22
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
16
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
25
25
25
16
16
0
62
0
0
0
0
0
0
0
4
0
16
32
0
0
0
0
0
0
0
18
0
0
0
0
16
16
0
8
8
0
0
0
0
0
0
9
8
0
2
2
0
0
0
0
0
16
0
0
0
8
8
8
8
8
8
8
8
8
0
0
0
4
1
0
0
0
20
0
1
1
1
0
2
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
4
16
0
0
4
8
16
0
0
8
0
0
4
4
4
4
0
0
0
0
0
0
0
0
0
0
26
0
20
16
16
16
0
12
12
0
8
0
0
0
16
20
0
16
8
32
0
0
0
0
0
0
0
25
4
0
0
0
0
0
0
0
0
45
0
0
0
0
0
0
8
0
0
0
0
8
8
0
0
0
2
0
24
0
0
8
0
8
0
0
8
8
24
24
24
0
0
0
0
0
4
4
8
4
4
4
1
0
0
0
0
0
0
16
16
1
1
1
0
0
0
0
0
16
0
0
0
8
24
0
4
0
26
0
0
0
0
0
0
0
0
0
0
0
0
0
0
18
8
8
8
8
8
0
0
0
9
0
0
16
16
0
0
0
8
16
0
0
0
0
0
0
0
24
2
0
0
0
0
0
0
0
0
0
8
0
8
8
8
0
0
16
0
0
0
0
0
0
8
0
0
0
0
0
8
8
0
0
0
0
0
0
0
16
0
0
0
0
0
0
8
8
0
16
16
16
16
16
5
5
0
0
0
0
8
0
0
0
0
0
0
0
0
0
4
4
4
8
8
0
40
0
0
16
12
0
0
0
0
0
8
8
16
4
0
8
0
0
0
8
0
16
8
16
16
0
0
0
0
0
8
0
0
0
0
0
0
0
8
0
8
0
16
8
8
8
0
0
26
0
0
0
0
4
0
4
16
16
16
0
0
4
8
0
0
0
0
0
0
30
0
0
0
24
0
0
0
0
0
0
0
0
0
0
0
8
1
1
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
4
8
8
8
0
8
8
0
0
16
8
18
4
0
0
0
16
16
8
8
0
1
0
0
0
0
0
0
8
18
0
0
0
0
0
0
0
0
0
4
4
0
0
0
0
0
0
0
0
0
1
0
0
16
0
0
0
0
0
0
0
0
0
24
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
1
1
1
8
0
8
10
10
10
0
8
8
8
0
0
0
8
0
0
4
0
0
0
0
32
8
8
8
16
4
0
0
6
0
8
8
8
8
8
2
1
16
16
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
20
35
0
0
0
8
4
0
0
16
1
1
0
0
0
0
0
0
0
16
8
2
4
0
16
0
0
0
0
0
0
0
2
0
0
16
16
0
0
0
8
8
8
8
0
0
1
61
0
16
16
8
0
16
16
4
4
4
4
0
0
0
0
0
0
0
0
12
0
0
0
0
0
8
0
0
24
0
0
0
0
0
0
0
0
8
0
2
1
0
0
0
0
0
0
1
0
8
8
16
16
16
16
16
0
0
1
0
16
0
8
8
8
0
0
0
37
0
24
24
24
24
8
8
8
8
8
0
0
0
0
41
0
0
0
0
0
0
0
3
0
0
16
40
0
0
0
0
0
0
0
0
0
0
0
0
0
3
16
16
0
0
0
4
0
8
8
8
0
0
0
16
16
0
8
0
0
0
2
3
8
8
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
24
0
0
16
16
16
0
8
8
16
0
0
0
0
0
0
0
0
0
8
0
0
16
8
0
0
0
0
0
24
16
0
0
8
0
3
4
16
0
0
0
0
0
0
4
8
8
8
24
16
1
2
2
8
16
8
0
0
0
8
0
0
0
0
0
8
0
24
16
16
0
0
0
0
0
8
0
32
0
0
0
2
0
0
0
0
0
8
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
16
36
16
0
18
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
8
8
0
0
0
1
1
1
1
0
0
8
0
0
0
0
0
0
1
0
0
0
0
0
0
0
8
9
8
0
0
0
2
0
0
0
0
0
0
0
16
16
0
0
8
16
8
16
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
20
0
0
40
0
8
12
16
0
0
0
8
0
0
0
0
0
16
0
0
0
0
0
0
0
16
16
0
8
0
18
2
0
0
16
0
0
16
0
0
0
0
16
0
0
0
0
0
0
24
17
17
16
0
4
17
4
8
4
4
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
32
0
0
0
0
2
2
2
0
0
0
0
0
0
0
8
8
8
8
8
8
8
0
0
0
0
0
16
1
16
0
8
0
0
24
24
16
16
16
16
0
0
0
24
4
4
0
0
0
8
2
0
0
16
1
0
0
8
0
0
0
0
0
8
8
0
24
24
24
2
0
8
32
8
4
8
0
0
8
0
0
0
0
0
24
0
0
0
0
0
0
0
0
0
0
0
0
0
0
10
0
16
0
0
0
0
0
0
1
8
0
0
0
0
0
0
0
0
32
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
16
0
8
8
8
0
20
0
8
8
8
8
8
8
8
16
16
0
0
0
0
0
8
2
0
0
0
0
4
0
17
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
4
0
0
4
25
0
0
0
0
0
0
0
17
0
8
8
0
0
0
0
0
56
24
0
0
0
0
2
8
8
8
0
0
8
0
32
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
5
8
0
0
0
0
8
8
8
16
0
0
0
0
0
0
16
0
0
8
20
4
0
0
1
0
0
0
24
0
0
0
8
0
0
0
8
8
0
8
8
8
1
0
0
0
0
8
0
24
2
2
8
0
0
0
16
24
2
0
0
0
1
1
0
0
0
0
8
0
0
0
0
2
2
8
8
0
36
16
0
0
0
16
16
16
0
0
0
8
2
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
32
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
16
0
0
2
2
8
0
0
8
0
0
0
4
0
0
0
0
0
0
2
4
0
0
0
0
0
4
22
16
16
0
0
8
8
0
0
0
0
8
8
0
0
0
0
0
0
0
1
4
4
0
0
0
1
0
0
0
0
8
8
0
0
0
24
16
0
0
1
0
0
16
4
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
8
0
0
0
0
16
0
0
8
16
0
0
0
8
8
8
0
0
0
0
0
0
0
0
4
4
4
8
8
0
24
0
0
8
0
8
8
8
0
0
0
0
0
18
18
16
16
8
16
0
0
0
0
17
0
0
0
2
8
0
8
0
0
0
0
16
8
0
8
16
22
0
0
0
0
0
4
24
24
8
0
0
4
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
16
8
8
2
0
0
0
0
0
0
0
0
0
8
16
16
16
0
0
0
0
0
8
8
8
0
0
16
16
0
0
0
0
0
0
16
1
2
8
0
0
16
16
5
0
0
8
16
16
0
0
4
24
0
0
6
6
0
8
0
24
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
6
4
0
0
0
0
0
0
16
8
0
0
1
1
1
0
4
0
0
0
16
16
16
0
0
0
0
0
8
1
1
1
0
0
0
20
0
8
0
8
0
16
2
2
0
4
2
16
0
8
4
0
0
0
0
8
0
0
0
0
14
0
0
0
0
0
16
0
0
8
8
0
8
16
0
24
24
6
2
0
29
0
0
0
0
0
4
4
4
4
4
0
4
0
0
0
0
0
0
2
2
2
2
2
0
0
0
0
0
8
8
8
0
12
8
8
9
1
8
16
8
4
0
0
16
16
0
0
12
12
0
0
0
0
8
0
0
8
0
0
0
4
0
0
0
0
0
0
2
0
0
0
8
0
8
16
16
16
0
0
0
0
0
0
0
0
0
2
2
0
0
8
0
0
0
56
56
24
0
0
0
0
0
8
8
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
24
0
16
2
12
0
0
4
4
0
0
1
0
0
0
0
0
0
8
1
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
48
0
16
16
8
0
0
0
0
0
0
2
8
8
0
0
0
8
0
0
0
8
8
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
8
8
0
4
4
0
10
10
0
16
0
0
0
0
1
13
0
0
0
0
0
8
0
8
8
0
0
16
24
16
4
4
0
0
0
8
0
0
0
0
4
0
0
0
0
8
16
8
0
0
16
0
0
1
1
1
0
0
0
0
0
0
0
4
4
8
8
8
0
0
8
8
8
4
4
0
0
8
8
8
8
0
32
0
0
0
0
0
0
0
16
16
0
0
16
2
0
0
0
0
0
0
0
8
8
0
0
0
0
0
4
0
0
4
0
8
16
0
0
0
0
8
0
0
0
0
0
4
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
0
0
0
0
16
0
28
28
0
0
0
0
0
6
8
40
0
20
0
4
0
8
8
0
0
8
8
0
0
0
0
8
4
0
0
0
8
0
0
0
0
24
0
2
2
8
0
0
0
8
8
8
24
0
0
0
0
8
52
0
0
0
0
0
0
0
0
24
0
2
2
0
0
0
8
8
4
8
0
16
4
4
0
0
24
0
8
0
3
3
0
0
0
0
0
0
20
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
27
8
0
16
0
0
0
0
0
0
16
1
4
4
0
0
0
0
0
0
8
8
0
8
0
0
0
8
24
8
0
0
0
0
0
0
0
0
0
0
8
16
0
0
0
0
0
10
0
0
0
0
0
0
16
0
0
0
0
0
0
8
16
0
0
0
0
0
0
0
12
0
0
0
16
16
33
1
32
8
8
8
0
8
1
1
0
8
0
0
8
8
0
6
0
0
0
0
0
0
0
24
8
8
8
24
0
4
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
2
18
2
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
4
8
8
8
0
8
0
0
1
0
0
0
0
0
0
8
0
8
0
0
0
0
0
0
0
0
0
0
0
16
1
1
0
0
17
0
0
0
0
0
0
8
8
0
0
16
0
0
1
0
0
0
1
0
8
0
2
0
8
0
0
0
0
0
0
0
1
0
8
0
0
0
0
0
0
0
0
16
16
16
0
2
12
16
16
0
0
0
0
0
0
0
0
1
1
1
0
8
0
0
0
0
0
16
0
8
0
0
16
16
8
4
0
25
8
8
0
9
4
0
0
0
0
0
0
0
0
0
0
54
54
0
0
0
0
8
0
0
0
0
17
17
0
16
1
0
0
0
0
0
0
0
0
10
0
0
0
0
4
8
32
32
4
8
8
0
4
8
0
0
16
16
16
0
0
0
0
16
2
2
4
0
0
0
16
16
8
56
56
0
8
8
8
8
8
0
0
4
4
0
4
4
0
16
0
8
4
2
8
8
8
0
16
16
0
8
16
18
18
0
0
8
1
0
0
8
4
0
8
2
2
0
0
0
8
8
0
0
8
16
0
1
32
0
0
0
40
8
1
22
8
8
0
0
0
6
2
0
0
8
8
0
0
0
0
0
0
0
0
8
1
1
0
0
0
0
16
0
16
8
0
0
0
48
1
4
8
16
1
0
0
0
8
8
2
2
16
0
8
8
0
18
0
0
8
8
8
1
0
0
0
8
0
0
8
8
1
0
16
4
4
4
0
0
16
0
0
16
8
8
8
8
8
0
0
0
0
24
24
16
36
4
4
8
0
0
6
2
20
20
0
0
4
8
16
16
0
0
0
0
0
0
8
8
8
0
8
8
8
8
2
32
32
0
0
0
4
0
0
0
0
0
37
0
8
8
0
16
16
16
16
8
8
0
0
8
8
0
4
4
0
0
0
0
0
8
0
1
2
8
16
8
16
16
0
0
1
0
2
0
0
8
8
8
8
8
0
4
4
4
0
0
0
8
0
24
8
8
8
8
32
34
0
0
4
0
0
0
0
4
4
4
8
16
16
16
16
16
16
8
8
8
8
0
8
8
8
0
16
16
2
8
8
0
0
0
0
3
3
3
8
0
0
0
0
0
24
16
0
8
8
0
8
4
8
0
0
8
0
0
0
18
0
4
4
8
8
8
8
0
16
16
0
0
0
0
16
4
0
0
16
16
16
8
0
0
0
8
4
8
8
8
8
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
8
4
4
4
8
0
16
16
8
0
9
9
0
18
18
18
4
4
0
4
4
4
0
2
8
24
8
8
18
0
8
1
1
0
0
43
43
43
0
4
4
16
8
16
16
16
1
1
0
5
16
8
8
0
1
24
1
8
0
8
0
0
0
16
8
8
0
16
3
16
0
0
0
0
8
16
40
0
8
8
0
24
1
0
0
0
8
1
1
1
8
16
4
16
8
8
8
0
32
32
16
0
0
1
1
1
8
0
0
0
0
18
16
0
0
0
2
2
2
0
0
0
0
0
6
8
4
4
4
0
0
8
4
24
8
16
16
12
12
12
8
0
0
0
25
20
20
0
32
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
8
0
0
0
6
1
6
0
0
0
16
16
8
0
0
16
16
4
4
0
8
8
0
8
8
8
8
8
4
8
0
0
0
0
0
0
0
0
0
0
0
8
20
0
0
36
36
0
0
0
0
0
16
8
0
0
0
8
0
0
14
0
0
0
0
8
2
0
8
17
0
0
0
0
8
8
28
0
0
4
2
2
16
0
8
0
1
0
16
0
0
16
16
2
8
0
0
0
0
0
16
16
16
16
16
16
16
0
0
8
8
4
0
2
2
6
6
6
6
8
8
8
8
0
0
0
0
0
16
16
24
0
0
0
16
16
16
16
16
0
0
8
8
8
0
0
0
2
16
8
8
8
16
16
0
2
8
16
28
28
28
0
0
0
0
1
17
4
8
0
0
0
17
8
1
1
0
20
24
8
16
0
0
16
24
8
0
0
4
0
0
3
0
0
2
4
4
4
4
0
0
16
0
0
0
8
8
8
16
0
0
0
0
24
16
20
0
40
1
0
0
0
0
0
0
0
0
9
0
0
16
0
8
9
24
24
24
0
0
0
0
0
0
0
8
0
16
0
0
8
8
1
0
0
8
8
16
0
8
16
0
24
24
8
8
8
16
16
0
0
0
0
1
16
16
0
2
0
20
0
0
0
16
8
16
16
0
2
2
2
2
2
0
0
0
24
24
0
8
8
8
0
0
1
8
8
8
12
16
1
2
2
2
8
16
0
8
4
4
4
0
0
8
8
0
4
4
0
8
17
1
1
8
8
8
8
8
0
22
16
1
0
0
0
0
16
16
0
8
8
0
16
16
4
0
0
0
0
16
16
1
0
8
16
0
9
0
1
4
0
0
2
0
0
0
0
18
18
0
0
0
1
0
0
8
0
2
0
16
0
16
0
0
0
0
0
28
28
28
21
0
0
0
16
16
0
0
18
2
8
8
8
0
8
0
4
4
0
8
1
0
0
30
30
0
16
0
0
0
0
32
1
1
0
0
8
0
0
0
32
8
0
9
0
40
8
0
0
0
0
2
2
0
16
16
0
11
8
0
16
16
16
16
16
16
16
16
8
16
16
16
24
24
0
0
16
16
16
16
8
16
0
59
57
57
0
1
1
4
0
0
0
0
0
20
6
6
6
0
0
0
0
0
0
0
8
0
2
8
8
16
0
0
0
8
8
19
1
0
8
0
0
18
2
32
8
8
8
0
16
4
8
16
16
16
8
1
1
1
0
0
1
8
8
8
8
2
16
16
16
0
0
8
16
0
32
32
2
2
2
2
8
8
1
1
0
0
0
1
1
0
0
2
2
0
8
8
16
0
0
8
8
2
2
0
0
0
0
8
0
0
0
16
24
0
8
8
8
0
0
16
13
13
13
0
0
16
51
0
20
20
16
1
8
16
8
8
0
0
0
0
0
0
0
0
6
8
20
20
20
20
0
8
4
2
1
1
0
8
0
0
8
0
4
0
0
8
8
8
8
8
0
0
0
29
56
0
0
0
0
0
0
0
0
8
0
1
1
1
0
0
33
10
0
0
0
16
16
16
8
8
0
20
16
0
0
0
0
0
0
0
0
1
8
8
0
0
16
0
0
28
8
8
8
8
8
24
16
20
8
8
8
0
0
8
8
8
0
8
8
0
4
8
0
8
8
8
16
16
16
0
4
0
0
0
0
0
16
8
0
8
0
4
16
2
0
0
0
1
1
1
1
18
0
8
8
8
0
0
0
16
4
2
0
0
0
8
24
0
0
0
0
4
4
4
4
8
8
0
0
1
8
8
8
41
0
16
16
16
0
0
0
1
0
8
8
32
16
0
16
16
4
0
2
2
4
16
0
0
8
16
2
16
2
20
20
6
8
20
0
8
24
16
24
8
1
1
0
0
0
16
4
4
0
0
8
0
0
16
8
8
4
0
8
4
8
0
56
8
16
24
8
8
8
8
0
0
1
1
0
16
0
0
8
8
8
0
20
8
8
8
16
2
2
8
8
8
8
0
8
0
0
0
0
0
6
4
4
24
0
8
56
32
32
16
16
8
8
8
8
16
8
0
1
1
0
0
60
0
0
4
16
8
16
16
16
0
0
16
12
4
4
4
16
16
0
0
0
16
1
1
8
8
8
0
3
3
8
8
1
0
0
6
6
0
8
8
8
8
8
8
0
8
8
0
8
8
16
16
16
0
0
16
16
0
0
0
0
0
16
0
8
4
0
4
0
0
8
0
16
18
16
0
0
0
0
0
24
0
16
0
8
8
10
8
0
0
0
0
0
9
9
0
0
0
0
0
0
0
0
8
8
0
9
9
0
0
0
0
0
0
0
16
16
0
2
0
0
32
32
0
0
0
24
24
24
24
0
0
0
0
16
16
16
24
8
16
16
0
16
0
0
0
0
4
8
8
8
8
8
8
0
20
8
0
0
0
0
32
32
0
8
0
0
0
16
16
16
8
0
0
16
0
0
4
4
0
8
8
0
2
2
16
8
0
0
0
0
8
16
0
8
4
0
0
0
8
0
12
8
8
16
16
16
8
0
16
0
0
0
4
2
4
8
0
0
0
0
0
0
0
8
14
0
0
0
0
0
0
8
8
0
20
16
0
0
12
0
16
16
32
0
0
0
8
8
8
0
0
0
16
10
0
16
4
4
0
8
8
16
16
12
12
12
8
0
0
0
0
0
4
24
1
0
0
0
4
4
0
0
8
0
4
16
16
16
0
8
8
8
8
8
8
8
8
8
8
8
8
0
1
4
4
8
8
8
0
0
0
0
8
8
8
4
4
29
0
0
8
8
0
0
8
32
0
0
0
0
26
0
0
0
1
1
1
0
0
8
8
0
0
0
0
0
12
1
8
0
8
0
0
0
0
0
2
2
0
0
0
8
4
4
4
4
4
0
16
16
16
16
16
0
0
0
8
0
0
0
0
8
8
16
0
4
16
2
0
0
0
0
8
8
0
16
16
0
0
0
0
0
4
4
2
0
0
0
16
19
0
0
8
16
17
0
4
0
16
20
8
8
0
4
1
0
8
8
8
0
0
4
4
16
16
8
8
8
0
8
8
0
0
6
0
8
0
0
2
0
16
0
0
0
16
16
16
12
0
0
0
0
0
8
8
4
4
4
12
48
0
16
4
24
2
0
0
0
0
2
0
18
0
0
8
8
8
8
16
0
5
2
2
32
32
32
32
2
8
17
0
0
0
8
0
0
4
0
0
0
0
0
8
0
16
16
0
4
0
0
0
0
1
0
0
0
16
16
0
8
8
2
1
1
9
16
16
8
8
4
4
0
0
8
8
0
0
12
12
0
8
8
8
8
8
14
20
20
20
20
0
0
0
24
16
16
16
16
16
8
0
0
0
0
0
0
8
4
0
0
8
24
8
52
16
0
0
0
0
1
0
25
25
16
16
8
8
8
16
16
1
1
1
2
0
0
0
0
8
8
1
8
0
0
0
0
48
0
0
0
6
0
0
0
8
5
0
0
0
0
28
4
8
8
8
0
1
0
32
8
0
0
2
0
8
8
8
0
2
16
8
0
8
0
0
16
8
0
16
0
0
8
8
16
16
8
8
16
16
16
16
8
8
8
0
0
0
36
0
8
4
0
4
8
0
0
3
0
0
0
8
8
16
1
0
1
9
1
0
0
4
6
0
0
0
0
0
20
16
0
0
0
0
0
8
0
2
8
8
8
8
0
8
0
0
0
0
0
0
8
8
0
18
8
0
8
8
16
0
4
0
0
0
0
0
0
40
16
32
1
8
8
8
16
8
8
0
8
8
0
0
2
0
24
8
16
24
0
0
0
0
0
0
8
8
8
8
17
1
1
1
0
0
0
4
13
13
2
1
1
0
0
0
0
0
16
0
8
0
10
19
2
2
2
4
0
6
8
8
16
8
19
0
0
20
0
8
0
0
0
8
8
0
16
16
8
4
16
16
8
0
0
8
16
16
0
16
16
4
8
4
4
4
4
8
8
24
8
0
0
0
8
8
2
17
20
0
8
16
0
0
0
8
0
0
19
8
0
0
12
0
16
0
16
9
2
0
0
0
0
0
0
8
8
0
0
13
8
0
0
0
16
16
8
8
0
0
0
0
0
0
0
0
8
16
16
8
8
0
0
2
0
4
0
0
0
4
6
0
0
16
16
8
8
0
0
8
0
0
0
0
16
0
0
17
16
32
32
16
16
16
16
16
16
16
16
16
16
8
8
2
10
24
12
23
0
2
2
2
2
24
8
16
8
0
0
0
16
16
0
8
2
2
0
0
8
0
0
8
8
8
8
8
8
8
0
0
0
3
26
8
16
16
0
24
11
0
8
8
0
0
0
0
0
0
8
8
0
1
0
0
0
4
4
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
16
23
8
8
8
8
0
0
24
24
8
8
8
0
0
0
0
8
12
8
8
8
8
0
0
0
0
0
8
8
8
1
24
0
0
4
1
1
0
20
8
0
2
0
0
0
0
0
4
8
8
8
8
0
1
2
0
0
0
4
0
0
0
4
32
24
8
0
8
0
16
8
8
0
0
20
8
0
16
16
0
0
0
8
0
8
1
2
40
18
18
18
0
0
0
0
49
0
3
3
16
16
4
4
4
0
0
16
0
8
8
8
0
16
8
0
0
2
0
0
12
12
0
0
8
4
0
0
0
17
0
8
8
0
0
2
4
0
0
8
8
0
0
8
0
0
0
0
8
8
1
1
0
0
16
0
0
0
17
17
8
8
8
0
0
0
0
0
52
0
0
16
0
0
0
0
0
8
0
24
24
0
1
1
0
8
8
8
8
0
0
0
0
8
8
8
0
0
0
8
8
8
8
0
0
0
1
8
16
16
0
0
24
0
0
0
0
8
8
8
8
0
22
6
0
1
0
0
8
8
8
8
16
0
0
0
8
8
8
8
16
16
0
0
8
0
0
56
0
0
0
0
0
16
2
9
0
0
0
8
0
16
16
0
14
2
0
56
0
0
0
2
0
0
1
1
2
0
2
10
8
1
1
4
0
0
0
16
16
0
0
0
0
0
1
17
17
0
0
8
0
0
0
0
0
16
0
0
0
8
16
8
8
8
12
0
0
24
4
0
0
16
0
16
16
4
0
12
8
4
8
4
0
0
0
2
2
2
2
2
16
16
24
0
0
0
0
0
0
0
0
20
0
16
4
8
0
0
0
0
0
21
8
0
24
8
0
0
24
24
0
8
0
1
1
1
20
8
0
0
1
0
0
8
8
8
8
8
0
5
2
0
16
0
4
16
16
0
0
8
8
0
8
0
0
8
8
8
1
8
8
8
16
8
0
24
8
8
1
0
8
0
16
16
8
8
8
0
0
0
18
16
0
0
0
0
0
0
4
8
8
24
0
0
0
0
0
0
0
48
48
48
17
17
0
0
0
0
0
0
8
8
8
8
0
16
8
8
0
24
8
8
8
8
8
8
0
0
16
0
0
0
0
0
8
4
8
8
8
8
8
8
0
0
8
0
16
1
0
0
0
16
24
24
8
0
0
0
0
2
2
24
36
36
36
1
1
16
8
0
0
24
0
1
0
8
8
0
4
8
8
8
8
8
0
0
0
0
0
0
4
0
0
8
8
0
2
8
2
0
4
0
0
0
0
0
16
16
32
0
0
0
8
0
1
0
8
0
0
0
8
24
0
16
2
8
16
16
16
0
0
0
0
6
8
0
0
16
0
0
0
16
8
0
0
0
0
0
4
0
0
4
0
0
4
4
6
0
8
17
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
4
4
0
0
0
0
2
0
8
0
0
0
16
16
16
0
23
16
12
1
0
0
16
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
16
0
0
8
8
8
0
8
8
1
0
2
2
4
4
0
0
0
17
0
0
0
0
0
0
0
16
41
0
0
16
16
0
32
0
4
4
25
25
0
0
24
0
0
0
0
61
8
8
8
8
0
24
24
24
0
0
8
4
0
0
0
8
8
8
0
8
0
8
4
16
0
1
1
0
4
4
4
0
0
0
0
0
56
0
0
0
24
24
24
0
0
8
8
0
0
0
0
0
0
8
8
8
0
0
19
8
0
8
0
2
0
0
0
0
0
25
25
8
8
8
8
0
0
0
16
0
16
0
16
0
0
0
0
0
0
1
0
0
16
0
25
0
20
0
0
4
0
0
0
0
0
0
0
0
16
0
0
0
0
24
24
8
0
24
1
1
1
1
1
32
32
32
32
32
0
6
41
2
8
8
0
0
16
16
2
0
0
8
4
0
0
16
0
8
8
16
16
16
1
3
0
0
2
2
17
0
0
0
0
8
8
0
0
0
16
0
0
0
8
0
0
4
4
0
0
0
0
0
0
0
0
0
0
24
0
0
0
0
0
0
8
0
19
0
0
0
0
0
12
0
16
16
0
0
0
0
8
16
8
2
0
12
8
0
2
0
0
0
16
0
0
16
8
0
0
24
24
0
0
0
0
9
0
8
8
0
16
0
0
0
0
0
8
8
2
2
0
28
8
8
0
0
0
0
0
0
16
0
16
8
0
0
0
8
0
2
0
0
0
8
12
2
2
2
0
16
0
2
8
8
8
0
0
0
0
0
32
32
8
0
0
0
0
0
0
0
0
0
0
0
8
0
16
20
16
8
0
0
8
0
0
4
3
24
0
0
0
0
0
8
0
0
0
0
0
0
5
1
1
1
0
0
0
0
8
0
12
0
4
0
0
0
0
0
8
0
0
0
0
0
8
20
8
0
0
0
32
32
0
0
0
0
1
0
16
0
16
16
16
0
0
0
8
16
16
2
8
0
0
0
0
0
0
0
0
0
0
8
16
0
1
1
0
31
24
0
0
0
16
16
8
8
8
0
0
26
0
0
0
8
0
0
8
8
0
16
1
0
8
8
16
4
4
4
0
0
0
8
16
16
0
8
0
2
4
17
0
0
0
24
24
24
24
4
0
0
0
0
0
0
24
8
4
4
26
0
0
0
0
0
8
16
0
0
2
25
25
25
0
8
8
0
0
0
4
1
16
8
8
8
16
0
0
0
16
24
24
24
24
24
24
24
24
4
4
0
0
0
16
0
16
8
0
0
0
0
22
22
8
8
8
1
0
0
8
8
8
0
16
0
0
8
8
0
8
0
0
0
4
0
8
12
0
0
0
0
1
8
16
16
16
0
0
0
0
0
16
4
16
0
0
0
0
0
4
16
16
8
4
4
4
0
0
57
8
0
0
16
0
0
4
16
4
0
0
0
0
16
0
0
0
8
0
0
0
0
0
0
0
0
0
0
2
4
4
8
20
0
0
1
16
1
0
4
0
0
16
0
16
59
8
0
8
8
8
0
0
2
8
8
8
8
2
16
16
24
16
0
8
0
0
0
0
0
0
0
0
16
16
8
0
0
28
0
2
2
0
8
8
0
0
0
0
0
0
8
16
0
0
1
8
0
16
16
0
0
0
0
0
0
0
4
0
0
0
0
0
8
10
0
0
0
0
16
0
0
8
8
8
8
8
0
0
0
0
0
24
0
0
8
1
0
0
0
0
0
16
0
0
0
0
0
0
0
0
6
6
0
0
1
16
0
0
8
8
8
0
8
8
0
16
16
1
1
16
0
0
0
8
8
0
0
8
0
0
0
2
2
0
0
0
2
0
0
0
0
0
0
0
0
8
0
0
2
0
8
8
8
0
20
16
20
8
0
8
8
8
0
0
1
16
16
0
8
16
16
20
0
0
0
0
0
0
0
2
0
8
3
4
0
12
12
16
16
16
8
8
8
0
0
0
0
0
8
0
0
0
16
16
0
0
0
0
16
16
16
16
0
16
0
4
0
0
8
16
0
4
0
0
0
0
0
0
2
2
16
8
16
0
0
8
12
0
0
2
0
0
0
24
24
1
4
0
8
9
4
4
4
4
0
0
0
8
8
8
2
0
16
1
0
0
0
6
0
0
0
8
8
16
8
8
16
0
0
0
0
0
0
0
16
16
16
0
8
0
8
8
8
0
0
0
16
10
10
10
4
4
8
8
8
2
2
16
0
0
8
0
0
0
4
0
16
16
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
6
0
0
0
4
0
0
0
16
16
0
17
24
24
24
8
0
0
0
17
17
0
0
0
8
8
12
0
16
16
16
4
4
4
4
0
0
8
0
8
8
0
0
0
8
0
0
0
8
6
6
6
0
0
0
0
32
0
0
0
0
0
0
8
24
2
8
8
16
8
0
0
0
8
0
0
0
0
32
0
8
8
0
0
0
0
0
0
0
40
0
0
0
0
8
8
8
0
8
8
24
0
2
0
9
0
8
16
0
0
40
2
0
0
0
0
0
24
0
0
16
16
0
1
1
0
0
0
0
8
8
0
19
0
8
8
2
0
0
0
0
0
16
0
4
0
0
16
0
0
16
4
4
26
0
0
16
20
8
8
8
8
0
4
12
4
4
4
0
8
8
0
16
16
0
0
0
0
0
0
0
0
0
0
2
0
4
0
0
0
0
0
4
0
2
0
0
0
0
8
8
8
8
0
1
0
0
0
18
16
32
1
24
24
16
4
0
4
0
0
0
0
0
0
0
0
9
16
0
0
0
17
12
0
0
0
0
16
24
8
8
0
18
18
10
0
0
0
0
0
0
0
0
0
2
2
0
8
8
8
16
2
2
4
4
16
0
2
2
8
0
0
0
32
32
32
32
24
24
0
0
8
0
16
16
2
2
0
58
0
0
8
8
0
0
0
0
0
0
8
0
0
0
0
0
4
0
0
0
0
8
2
0
0
0
0
0
0
0
0
0
3
8
8
0
0
0
0
0
0
8
2
0
0
0
16
20
16
8
8
0
0
28
0
0
0
0
0
0
0
0
0
0
0
0
0
12
0
0
0
0
0
0
1
0
24
0
1
0
0
4
0
0
0
0
8
2
0
18
8
0
0
0
0
0
21
0
2
0
0
0
0
8
0
8
8
0
0
0
16
0
0
0
0
0
0
0
8
16
0
0
0
0
0
16
16
16
2
2
0
0
2
4
4
16
1
0
16
16
0
16
8
8
24
0
0
0
0
16
16
8
0
0
1
0
0
0
6
6
0
30
18
0
4
0
12
0
0
2
0
0
0
0
0
8
0
8
0
1
1
16
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
2
0
0
38
17
0
0
0
0
0
0
16
0
0
2
2
8
8
0
8
8
8
8
18
18
18
16
0
0
0
8
2
55
8
8
12
12
12
12
12
12
0
8
16
0
0
20
0
0
0
8
8
8
2
2
0
0
0
0
0
6
6
0
0
0
0
0
8
8
8
0
0
16
4
0
0
0
0
0
1
8
0
8
8
0
0
0
16
0
24
24
24
24
9
8
8
0
16
16
16
0
0
12
0
0
0
0
0
16
0
0
0
29
0
0
0
8
8
16
4
0
0
16
0
24
0
0
0
16
16
16
2
2
1
1
8
0
2
20
8
0
4
4
5
2
16
16
0
0
4
24
12
12
2
8
0
0
0
0
0
16
16
16
0
0
0
0
16
0
8
12
8
20
0
0
0
0
0
0
0
0
0
0
0
21
4
0
0
16
16
16
16
0
0
0
0
0
8
8
8
16
0
0
16
0
0
0
32
8
0
2
8
16
4
0
0
8
8
0
0
0
0
8
0
0
0
24
16
16
0
0
6
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
19
16
16
8
0
0
8
8
0
0
0
8
0
0
0
16
17
0
0
59
0
0
0
16
0
4
0
0
16
8
0
32
0
0
16
16
0
8
8
0
0
0
8
8
8
4
2
0
0
0
4
0
0
6
8
8
4
0
0
0
0
0
8
8
8
4
8
0
0
0
8
4
0
60
0
0
0
0
0
0
0
0
16
16
42
17
0
0
0
0
0
16
16
0
0
24
0
0
0
8
16
16
8
8
0
0
12
8
8
0
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
0
0
16
0
0
0
0
8
14
14
14
8
0
0
0
0
0
8
8
0
2
0
1
0
0
0
0
0
0
0
8
8
0
0
0
8
1
1
0
8
0
0
0
16
0
0
0
0
17
0
0
0
0
0
0
0
1
16
0
0
0
0
0
8
0
8
4
4
4
4
4
4
0
8
0
4
0
16
0
0
8
0
0
0
0
16
2
16
16
16
0
8
8
0
0
52
0
8
8
8
16
8
8
8
0
8
8
8
0
0
8
0
0
0
16
16
16
8
0
0
0
0
0
0
0
0
0
8
16
8
8
0
0
0
0
0
44
36
0
16
16
16
0
0
0
0
4
0
8
0
0
8
16
16
16
16
0
0
0
0
2
8
8
8
8
1
0
0
0
8
4
4
16
0
24
0
0
8
0
0
4
8
8
28
28
0
8
4
0
0
0
2
1
4
0
0
0
16
4
4
0
29
29
29
29
29
29
29
29
29
0
0
0
1
0
16
1
8
0
0
0
0
16
9
17
18
18
0
0
0
0
2
0
0
16
0
0
0
4
16
16
16
1
8
0
16
16
0
0
0
1
1
1
1
0
0
0
0
0
0
0
16
8
8
0
9
9
0
0
0
8
0
0
0
0
0
0
0
16
16
0
0
0
8
0
9
9
0
4
0
0
0
0
0
0
16
0
8
8
0
0
22
0
1
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
3
0
16
16
16
16
16
0
0
0
0
0
12
12
25
25
36
0
4
8
0
2
0
0
0
16
0
8
8
4
4
4
17
4
0
0
40
40
40
20
0
0
8
8
8
0
0
0
0
8
4
0
1
4
1
8
1
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
2
2
2
8
0
0
0
0
0
8
0
9
1
0
0
0
0
0
0
8
16
16
8
16
8
8
0
0
0
0
0
0
0
4
0
0
8
8
32
32
0
0
0
0
0
8
8
4
4
0
0
2
2
7
7
7
0
0
0
0
0
0
0
0
0
0
16
8
12
12
8
8
8
0
0
0
8
0
0
0
0
8
0
16
0
12
12
8
0
0
2
0
8
8
8
4
0
0
0
0
0
0
0
16
0
0
8
16
0
0
8
0
0
0
8
0
0
4
4
4
16
8
8
2
2
2
20
24
8
1
0
3
0
0
0
0
0
19
8
4
0
0
0
0
12
16
8
16
0
0
0
4
0
16
24
0
0
0
0
8
1
32
0
16
16
16
8
0
0
0
24
24
24
24
24
24
4
0
8
0
0
8
0
0
0
16
6
8
8
0
8
0
24
16
8
0
24
0
0
0
8
20
20
20
20
0
8
0
0
0
16
8
2
0
0
24
24
24
4
17
0
17
0
0
0
0
0
0
4
2
8
12
12
0
48
2
8
16
0
9
9
0
0
0
0
0
1
1
20
20
0
0
0
0
0
16
4
1
0
0
55
0
0
16
0
16
0
0
0
0
2
16
16
8
8
8
0
16
16
16
16
0
0
0
0
0
0
0
1
2
0
0
8
0
0
4
4
8
0
0
0
2
16
0
0
0
0
24
0
10
24
8
0
8
8
8
0
17
17
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
8
0
17
17
17
17
17
0
4
16
1
0
0
0
0
0
4
16
32
0
0
0
0
0
0
0
0
0
8
0
0
0
4
8
8
8
0
0
0
8
16
0
0
0
12
12
8
16
1
1
17
0
16
0
4
16
0
0
0
17
0
0
4
0
0
16
16
0
0
0
0
0
4
0
0
16
1
1
4
16
0
0
0
0
6
6
16
16
0
0
0
0
8
16
0
4
8
5
0
0
0
0
8
8
0
0
0
4
4
0
0
8
0
36
4
8
8
8
8
8
8
0
0
0
0
16
16
0
0
0
0
0
16
8
0
16
0
8
8
8
8
0
0
16
0
2
0
1
1
8
0
1
16
0
0
8
16
0
8
8
8
0
16
4
0
16
0
0
0
8
0
0
0
0
1
1
16
16
1
48
48
32
0
0
0
0
0
5
16
8
8
8
8
2
2
0
0
0
0
24
8
0
16
8
8
0
0
0
16
8
8
9
0
8
8
8
0
32
24
0
0
0
8
0
8
8
0
1
1
0
0
0
0
0
0
0
0
0
0
16
2
26
0
2
8
0
12
0
24
24
24
8
17
0
0
16
16
16
0
0
0
8
0
16
28
0
0
9
1
1
1
0
0
0
16
8
8
32
32
17
17
0
0
0
0
0
0
0
4
0
0
0
0
16
16
0
0
0
0
0
0
8
0
0
16
8
8
0
0
0
0
8
0
0
16
0
8
1
1
4
1
16
0
0
0
8
8
4
8
8
8
8
6
16
16
16
21
0
0
8
8
16
32
32
2
8
0
0
0
0
24
0
6
6
4
4
10
4
16
16
0
8
2
2
0
0
0
8
0
0
16
2
16
16
8
8
8
27
18
0
16
8
24
24
16
16
0
0
8
1
0
0
0
0
0
8
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
8
8
8
8
8
0
1
0
0
0
12
24
16
0
0
0
0
0
0
0
0
16
0
0
0
24
0
8
0
0
10
18
0
16
4
4
1
8
16
16
0
0
0
0
0
0
0
0
18
9
8
0
4
4
0
0
2
0
4
0
0
0
16
0
0
0
0
0
16
16
16
17
16
0
0
0
0
0
0
0
8
6
6
0
0
0
0
0
0
0
24
2
8
8
0
40
16
0
0
40
0
8
0
0
0
8
0
0
0
0
0
16
26
26
4
4
0
8
1
1
1
1
1
0
20
20
11
0
16
0
8
0
8
8
24
24
56
8
0
0
0
0
0
0
4
4
0
16
8
40
0
8
8
0
0
0
8
19
0
0
16
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
20
33
24
8
16
0
36
0
0
4
20
0
8
0
0
4
4
10
10
0
0
0
4
8
16
8
8
0
0
0
0
0
8
8
0
32
32
8
18
2
0
0
0
16
0
8
8
8
8
8
8
8
8
8
8
1
1
8
8
8
12
0
1
8
0
16
8
8
16
0
0
0
0
0
8
8
0
8
16
16
16
16
0
8
8
1
0
0
0
0
0
0
0
8
8
19
0
16
16
0
0
0
0
0
16
0
0
0
0
0
0
0
8
8
8
8
0
50
8
8
0
0
0
0
0
1
1
0
0
24
0
0
2
2
2
0
0
8
0
0
8
0
8
8
8
8
8
0
8
8
0
24
16
0
0
0
8
0
8
16
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
8
0
2
2
0
8
8
8
8
0
0
8
1
1
8
0
8
8
16
0
0
0
0
0
0
16
8
8
8
8
8
16
0
0
16
8
8
20
4
8
0
0
0
0
8
0
16
0
8
8
8
8
8
8
8
8
0
0
0
26
0
8
0
0
1
0
4
0
8
0
17
0
0
0
8
0
11
8
12
0
0
8
8
8
4
0
0
8
0
0
8
0
0
0
0
0
0
0
0
1
1
1
0
40
0
0
0
8
24
0
4
16
0
0
0
18
6
0
8
0
57
0
0
0
16
0
0
32
32
0
0
0
0
2
4
4
0
0
0
32
8
0
0
0
32
32
0
0
8
16
0
0
0
1
1
1
16
0
0
0
8
24
24
8
0
0
0
0
16
16
24
24
0
0
8
8
8
0
16
16
8
0
0
24
2
0
0
0
0
0
24
4
24
0
16
0
0
0
0
0
8
0
0
4
0
0
0
0
0
24
0
0
1
0
0
0
0
16
0
0
0
0
6
0
9
0
24
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
3
2
0
8
8
0
0
8
16
0
8
0
0
0
0
0
0
0
0
27
0
8
8
8
8
0
0
0
8
8
8
4
0
0
0
0
0
0
24
0
26
0
0
0
8
0
0
2
0
8
4
4
8
8
0
2
8
0
8
0
8
0
16
0
0
0
0
0
4
20
0
0
8
1
1
1
1
0
8
8
8
8
8
4
0
24
0
0
0
0
8
0
0
16
8
0
0
0
4
0
0
0
0
0
0
0
0
0
0
16
8
1
0
0
24
16
16
0
0
8
0
0
9
0
0
8
16
0
0
0
16
8
2
8
8
2
2
0
0
8
16
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
16
0
1
8
0
0
16
8
8
16
16
16
20
8
0
0
0
33
0
0
12
8
8
8
0
0
16
4
8
0
0
0
0
0
16
8
16
16
4
0
16
16
16
24
16
0
10
1
1
24
24
8
16
8
0
0
0
0
0
0
0
0
13
0
18
8
17
0
0
0
0
0
0
6
4
4
0
0
0
0
8
0
0
0
2
2
2
4
4
4
2
0
8
0
0
0
0
4
9
2
0
16
0
8
0
8
8
0
8
8
8
16
16
8
8
0
0
28
0
0
1
0
0
8
8
8
0
0
0
0
16
4
0
0
0
16
0
32
8
16
0
8
0
0
16
0
0
8
9
8
8
0
0
0
0
0
18
8
0
40
0
0
0
0
0
0
0
0
0
0
2
5
5
16
4
8
0
0
12
17
17
0
0
0
0
1
1
1
1
24
0
0
16
0
0
0
0
20
0
0
0
0
0
0
0
1
0
1
0
8
0
6
16
18
0
9
0
8
16
0
0
0
0
0
0
0
0
0
16
16
16
20
0
0
0
8
0
0
0
0
8
8
16
0
0
8
8
0
0
8
8
8
8
0
0
8
8
5
1
8
8
0
0
0
0
8
24
16
16
27
8
0
0
17
17
8
0
0
0
0
2
2
16
16
8
8
0
0
8
0
4
8
8
8
8
8
8
10
0
0
0
10
41
41
16
0
8
2
2
16
0
0
20
8
8
0
8
0
0
0
0
0
8
8
0
0
32
32
32
0
8
8
0
24
0
0
0
8
8
8
8
24
2
8
0
0
4
40
0
8
8
8
8
0
16
16
16
35
0
16
16
0
0
0
16
0
0
0
0
0
28
0
9
0
16
16
1
8
8
8
8
8
8
8
8
26
26
0
0
16
12
8
8
0
4
8
8
0
0
16
16
24
4
8
0
8
2
0
0
16
16
0
0
0
0
8
0
0
0
4
0
8
10
2
16
8
8
8
16
4
0
0
0
8
0
1
1
32
0
2
2
0
0
8
0
0
24
24
0
4
4
16
8
2
0
24
8
23
0
0
0
4
0
0
0
9
0
0
0
0
10
0
0
0
1
0
4
8
4
16
16
4
6
6
6
8
0
0
0
1
1
16
8
0
0
24
0
8
0
8
0
8
0
0
0
8
0
0
0
8
0
8
8
0
0
0
0
0
16
16
16
16
8
0
0
0
0
1
16
0
0
0
8
8
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
8
3
2
16
16
0
4
0
0
4
8
0
0
8
0
8
16
24
16
2
0
8
8
8
24
0
0
8
4
8
0
0
0
1
16
0
16
0
0
0
0
28
0
0
16
0
25
25
0
8
0
9
0
2
2
13
9
2
2
0
0
0
0
0
0
8
4
4
13
16
16
60
16
16
4
4
0
8
16
16
0
32
32
0
0
1
1
0
0
0
0
0
0
0
16
16
12
1
0
19
19
24
4
0
0
0
0
8
0
0
4
0
8
8
8
32
24
24
0
4
0
0
0
0
0
0
2
0
0
8
8
8
32
16
16
8
8
8
4
8
8
0
4
16
16
0
57
0
0
0
0
0
0
0
0
41
0
0
8
2
34
0
0
16
8
8
0
0
0
0
0
0
0
0
0
0
0
0
4
4
0
0
0
8
0
0
2
16
16
0
0
16
0
0
20
20
18
0
0
8
8
0
0
0
4
4
0
8
0
0
16
16
0
0
0
16
21
0
8
8
0
0
24
8
37
8
8
0
0
0
8
0
0
0
21
8
0
16
8
17
4
4
0
8
2
16
24
0
0
0
0
16
0
0
34
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
4
4
4
4
0
0
16
0
0
8
0
4
4
4
4
8
16
16
24
0
16
16
16
8
8
16
4
20
16
16
16
32
8
0
0
8
0
0
0
0
0
2
8
8
8
0
4
8
8
8
16
8
8
8
0
0
17
0
0
16
0
0
0
0
8
2
0
2
0
0
4
4
0
0
0
8
8
8
8
0
0
1
8
0
0
0
4
1
0
1
0
4
0
0
0
16
16
8
1
1
1
16
16
16
16
8
8
0
4
8
8
0
0
0
0
2
2
2
16
0
8
0
0
0
4
4
0
0
0
0
0
16
0
0
16
16
16
0
16
0
0
0
8
8
0
0
0
0
0
0
0
7
7
1
8
0
8
0
4
4
4
0
0
0
8
0
0
0
0
0
0
8
0
8
0
0
16
8
0
0
16
0
0
0
0
0
0
0
0
0
0
32
0
0
0
0
0
16
8
8
8
0
0
0
0
8
3
3
0
0
0
0
0
0
1
1
9
0
0
27
0
0
0
0
0
0
0
16
0
0
8
0
0
0
0
6
6
8
11
11
22
0
0
16
8
0
0
0
24
12
12
12
1
0
0
0
0
0
16
8
8
8
8
12
8
0
18
0
0
0
8
16
8
0
8
0
17
17
1
17
2
2
0
0
0
0
0
8
8
0
0
2
0
0
12
24
4
0
0
0
16
8
0
0
24
16
0
4
18
0
0
8
8
8
8
4
8
8
16
0
16
16
2
8
0
1
0
0
0
8
0
0
4
16
16
0
0
0
0
0
0
2
0
0
16
16
16
16
0
0
8
8
0
0
0
0
8
0
6
0
0
0
0
2
0
0
0
48
0
0
0
25
0
0
0
4
8
0
0
0
8
17
17
0
0
16
16
16
16
16
4
0
6
0
2
0
1
0
0
0
0
4
16
0
0
0
8
0
8
8
8
32
0
0
1
8
4
4
4
4
16
16
16
4
0
0
2
0
0
4
4
0
0
0
6
0
0
8
16
8
0
8
0
4
0
4
12
8
8
0
0
0
0
0
16
16
0
0
0
10
0
0
0
2
2
0
0
0
2
6
1
1
8
0
0
0
8
0
0
0
2
0
48
0
0
0
0
0
0
2
0
0
8
0
2
8
43
43
0
0
8
0
0
10
0
0
4
4
4
8
16
2
0
0
0
0
0
4
0
0
1
0
4
4
4
4
4
2
0
0
0
0
4
4
1
0
16
8
8
0
8
8
0
8
0
0
0
0
0
0
16
0
0
0
33
0
0
0
0
0
1
1
2
0
0
0
0
2
2
2
0
0
8
16
0
8
0
8
8
8
1
0
0
17
16
16
16
0
1
0
0
0
0
0
0
8
0
8
1
0
0
1
0
8
8
0
16
16
8
0
9
0
0
8
0
0
0
4
0
0
0
0
12
8
8
8
16
4
0
0
2
0
0
32
0
8
10
10
2
0
0
28
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
8
1
0
8
0
0
0
0
0
0
0
0
1
0
0
0
0
0
26
26
16
12
12
0
0
0
0
0
4
4
16
48
56
0
0
5
0
0
0
0
0
4
0
0
0
16
0
0
4
0
1
0
16
8
0
0
4
0
0
0
8
8
10
8
16
2
8
0
0
24
8
8
8
8
8
0
33
0
0
0
8
0
8
35
32
32
32
16
8
0
8
8
8
8
0
16
0
0
8
0
0
32
32
0
0
8
8
8
8
0
16
16
36
0
2
0
0
2
0
0
4
4
0
0
16
0
0
8
0
0
0
8
0
0
0
0
0
0
8
8
0
0
8
8
16
16
16
16
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
1
16
16
0
8
0
4
0
1
0
16
16
0
0
0
16
8
8
8
0
0
0
16
8
32
32
32
0
16
32
0
0
24
24
0
16
8
22
4
16
0
0
0
0
0
0
0
0
0
20
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
16
20
20
20
20
1
0
20
0
0
8
4
14
2
52
0
0
0
0
0
0
0
0
1
21
8
7
0
0
29
0
24
16
16
16
0
17
0
0
0
0
16
0
0
0
8
0
8
8
8
8
8
2
0
16
0
0
0
0
24
24
0
2
2
8
4
4
0
0
0
0
2
0
0
0
24
16
8
8
8
0
0
0
8
0
8
0
8
16
0
0
16
53
5
0
24
0
2
32
8
0
2
0
0
16
0
0
0
4
4
24
24
0
0
0
0
0
0
8
0
0
16
8
0
0
0
0
0
0
0
0
16
32
32
8
0
0
0
0
2
2
0
0
0
0
0
0
0
40
40
40
40
0
0
4
4
8
0
0
0
8
0
0
8
8
16
8
8
0
0
4
0
8
8
16
8
0
0
0
0
0
8
0
0
0
2
0
0
16
0
16
0
0
16
32
0
0
0
0
0
0
8
8
0
0
0
1
0
0
16
16
16
16
16
4
4
0
0
0
0
0
8
8
1
2
2
0
0
6
0
0
0
16
0
16
16
16
8
8
8
8
0
0
2
4
4
4
0
4
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
8
8
16
0
8
0
0
8
0
0
16
0
0
8
1
1
1
8
8
8
24
0
24
16
0
0
0
0
0
32
8
0
0
0
8
0
0
0
0
8
8
5
0
17
40
0
0
16
16
8
0
0
0
0
8
8
0
8
0
0
0
0
8
8
2
0
0
4
2
8
8
8
8
8
0
12
4
0
8
1
0
0
0
0
0
0
0
0
1
8
8
0
0
0
0
0
0
0
0
8
0
0
0
0
0
12
8
8
0
8
0
0
0
0
0
0
8
8
8
8
8
8
0
1
0
4
0
0
0
0
16
0
0
0
8
16
24
0
0
0
12
8
8
8
32
8
8
2
0
8
8
0
8
0
8
0
0
0
8
18
18
0
2
22
0
0
0
0
0
0
8
8
16
24
0
2
16
18
8
8
4
4
4
0
0
0
0
8
24
8
0
8
0
0
0
4
0
0
8
16
4
8
0
0
0
0
0
0
0
0
0
8
8
8
1
0
16
8
0
0
0
16
16
16
4
23
23
0
1
0
0
0
0
0
16
16
4
8
8
0
16
0
8
8
4
8
0
0
1
0
0
0
0
0
24
24
16
0
0
0
0
0
0
0
0
4
0
0
0
0
8
2
0
0
0
16
2
2
8
0
0
0
0
1
1
1
0
0
2
2
2
2
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
26
26
8
8
0
0
0
0
4
0
0
8
57
0
0
16
16
16
0
0
0
0
16
0
0
8
8
48
0
16
16
8
16
8
0
0
0
0
8
8
0
0
8
0
0
4
4
4
4
1
12
0
0
1
0
0
0
0
8
0
0
1
1
0
0
0
0
5
5
0
0
1
32
32
0
0
12
0
0
30
0
8
0
0
0
16
0
0
0
8
8
0
1
0
36
0
0
0
18
0
0
0
0
0
2
0
0
0
0
8
0
16
0
0
0
16
16
0
0
0
0
0
0
0
0
8
0
8
0
8
0
0
0
0
1
0
16
16
16
8
8
0
0
2
0
0
0
0
0
60
0
8
0
4
4
0
2
2
0
12
0
0
0
8
8
0
0
0
0
8
8
0
0
0
2
0
0
0
0
0
0
16
0
16
24
4
8
0
0
0
0
24
0
0
0
0
0
0
0
0
0
0
24
0
0
0
0
0
4
2
8
0
0
0
0
16
1
1
0
0
8
8
0
0
8
8
0
16
16
16
62
16
0
0
0
4
0
0
0
16
0
16
16
16
16
16
0
20
4
0
0
0
0
0
0
8
0
8
8
8
8
0
16
0
6
16
4
0
0
0
0
0
0
0
0
0
1
16
8
0
0
0
0
0
8
0
12
12
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
16
16
1
0
16
0
8
2
2
0
0
0
0
16
0
0
8
0
8
0
2
32
0
0
0
0
0
0
8
18
0
0
0
0
4
4
0
0
0
0
4
4
4
4
0
0
2
8
8
0
0
1
12
13
0
0
0
16
8
0
0
0
0
0
0
16
16
0
0
0
0
32
0
0
0
2
2
8
4
8
0
0
0
0
48
48
48
0
0
0
0
0
0
0
0
49
0
0
0
0
8
0
0
0
16
0
0
0
16
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
4
0
16
16
16
8
8
0
0
24
0
4
4
4
0
4
4
8
8
0
16
16
0
9
9
9
8
0
0
0
0
8
24
0
0
0
0
0
0
0
0
16
0
0
0
0
16
0
0
16
0
16
16
0
0
0
0
0
0
0
0
8
8
0
0
8
8
0
8
2
4
4
4
4
0
4
4
0
0
0
0
0
0
0
0
0
0
0
16
4
0
0
1
0
0
8
8
8
8
8
8
48
0
24
24
24
24
24
0
0
16
4
12
4
4
0
0
0
0
0
0
8
10
8
8
0
0
0
0
0
0
16
16
4
4
4
4
4
4
4
0
16
1
1
0
0
16
8
0
0
16
16
1
1
2
0
0
16
0
0
0
0
0
4
0
0
0
0
8
0
8
0
0
0
8
0
8
8
8
8
8
4
8
0
0
0
0
16
0
0
1
8
0
0
0
16
8
8
8
0
0
0
0
0
16
0
0
0
0
4
9
0
0
0
0
0
0
8
8
0
0
0
4
24
8
8
0
16
0
0
0
0
17
8
0
0
0
0
5
0
0
0
0
24
0
0
20
0
0
4
4
0
0
2
2
2
0
12
1
1
0
0
0
0
8
0
52
8
8
0
8
8
2
0
0
16
16
16
16
16
2
2
2
4
4
0
16
0
0
8
2
0
0
0
0
0
0
8
16
16
0
0
8
1
1
8
20
0
2
8
16
0
0
0
0
0
0
25
0
0
1
1
0
0
0
0
0
2
8
8
0
16
0
0
16
0
0
1
16
0
1
0
32
0
12
0
0
0
24
0
16
0
24
6
0
0
0
0
0
8
0
16
6
6
2
16
16
16
0
0
0
0
0
0
8
8
1
16
0
8
8
25
25
0
4
4
16
16
0
0
0
0
0
0
0
0
0
0
8
4
0
0
0
16
16
16
16
0
0
8
16
16
0
0
0
0
0
0
0
0
0
8
0
8
8
20
20
8
1
1
8
0
0
8
8
8
16
0
8
0
0
0
0
0
0
0
0
0
0
49
16
0
16
16
0
16
0
0
0
0
16
0
0
52
8
24
8
0
18
0
8
32
4
4
4
4
8
8
8
8
8
20
0
1
16
8
8
16
0
0
8
0
0
2
0
0
0
0
0
0
0
24
16
0
0
20
16
10
0
40
40
40
4
2
0
16
16
16
16
0
0
0
8
8
8
8
0
0
4
24
24
8
8
8
0
0
0
0
0
9
24
8
8
8
10
0
0
0
8
8
8
0
0
0
2
0
0
0
16
0
0
2
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
8
8
0
8
8
16
0
0
8
0
0
0
0
8
0
16
8
8
0
0
0
0
0
4
9
4
29
29
29
29
29
29
0
0
0
2
2
2
2
2
2
0
2
0
16
0
4
4
4
4
0
0
0
0
0
16
0
8
0
8
1
8
0
0
6
0
0
0
8
0
0
0
0
0
0
16
16
3
3
20
0
0
0
0
8
8
0
0
8
8
2
2
0
4
4
0
48
18
2
4
0
4
0
0
16
8
8
8
0
0
0
0
0
0
0
0
0
0
1
8
0
0
0
4
0
0
0
8
16
8
25
0
0
0
0
0
16
0
0
4
0
13
0
0
9
0
0
0
0
0
0
0
0
16
16
0
0
8
0
0
0
0
0
8
8
32
0
0
16
16
0
19
0
12
8
8
8
8
0
0
4
16
16
0
0
2
0
0
8
24
0
52
0
0
0
4
4
0
0
8
8
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
1
8
8
16
16
0
0
0
8
0
0
0
0
0
0
0
16
16
0
0
16
16
8
0
12
0
0
0
0
0
0
0
16
0
2
2
2
0
0
0
16
0
10
0
0
0
0
1
1
8
0
0
0
0
8
0
0
0
0
0
0
8
8
6
0
18
16
1
0
0
0
8
16
16
0
1
0
2
0
56
0
8
16
0
0
0
0
0
0
0
0
24
0
3
8
8
0
0
0
0
0
20
0
0
0
8
8
0
0
0
0
0
0
16
8
8
32
32
32
16
16
16
0
4
4
16
0
0
0
1
1
0
5
8
2
0
0
8
8
8
17
17
0
8
0
2
1
0
0
0
0
9
0
0
8
8
9
8
8
8
4
4
4
0
0
0
0
8
8
8
8
0
0
0
0
0
0
0
0
8
8
0
0
0
16
0
0
0
0
0
0
0
16
0
16
0
0
0
20
16
16
8
8
32
0
25
25
0
0
0
0
16
0
1
0
0
0
0
0
0
16
0
0
0
0
0
0
26
0
0
24
0
0
0
8
2
0
0
0
16
16
0
0
0
8
0
1
8
8
16
20
20
0
0
0
0
0
0
0
0
16
8
24
24
24
1
16
0
0
0
1
20
20
0
0
27
25
8
0
4
4
0
32
34
8
4
0
0
8
0
8
8
4
4
0
0
0
0
0
0
0
16
16
8
0
0
0
0
0
0
0
0
16
0
16
0
36
0
0
0
0
4
4
0
0
8
16
0
0
0
0
4
0
0
0
0
8
2
1
0
0
0
8
16
0
16
4
4
16
0
0
16
16
8
32
16
0
0
0
0
8
0
8
0
0
16
16
0
24
24
24
24
16
24
0
16
8
8
4
8
0
16
0
0
0
0
0
0
16
0
0
0
0
2
6
6
6
0
8
8
8
8
8
0
0
0
0
0
0
0
18
0
8
16
0
0
8
8
0
4
4
0
0
0
0
0
0
0
16
0
0
1
0
8
16
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
4
0
0
8
2
2
8
8
8
0
0
0
0
0
8
0
0
8
0
1
8
8
2
2
0
8
8
8
0
0
32
16
16
0
16
16
0
0
0
8
16
8
8
8
8
0
0
16
16
4
0
20
1
8
8
16
12
16
16
0
0
0
1
8
8
0
0
0
0
0
0
0
0
0
0
8
8
0
13
16
16
0
8
8
2
2
2
0
0
0
0
0
8
16
0
0
0
0
0
0
0
0
0
4
4
16
0
4
16
8
0
8
4
0
0
0
0
0
8
1
4
4
8
8
33
4
16
0
11
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
8
16
0
0
0
16
0
0
0
0
0
16
0
0
0
0
0
0
8
0
0
0
1
0
0
0
0
0
0
0
4
0
0
0
6
0
18
0
16
0
8
16
16
0
0
16
16
24
24
0
0
0
0
0
8
8
8
0
0
2
0
0
0
0
0
0
17
16
4
32
0
0
0
0
8
20
8
8
0
8
0
24
24
24
24
8
8
0
8
9
0
0
8
8
0
0
16
8
0
20
0
0
0
0
2
2
0
16
16
0
4
8
4
0
0
4
4
4
4
0
48
12
12
0
0
0
0
4
0
8
0
8
0
0
0
0
0
0
4
4
1
1
16
0
0
16
16
24
0
0
0
0
16
24
8
8
0
0
0
0
0
0
56
12
0
0
0
16
0
4
0
8
0
4
0
0
32
32
8
16
8
0
4
0
0
16
4
1
1
16
16
16
0
8
0
8
10
10
8
0
8
0
8
0
20
0
16
0
0
8
8
8
24
24
0
16
0
8
8
8
0
0
0
4
4
4
2
0
0
0
0
16
0
0
0
4
0
16
8
0
0
0
0
0
0
0
8
8
0
0
0
0
2
0
0
0
0
8
8
0
8
0
8
0
0
0
20
0
4
0
8
8
0
8
8
0
0
4
0
7
0
4
1
8
8
8
0
0
0
2
6
0
0
8
8
8
0
2
2
2
2
0
24
24
4
4
0
0
0
0
0
0
0
0
4
0
56
0
0
0
26
0
8
0
18
8
8
16
0
0
16
8
8
0
0
17
0
8
28
9
9
0
1
1
4
0
8
0
0
0
8
8
0
0
8
7
16
16
16
0
0
0
0
8
0
8
16
0
0
0
0
16
4
32
4
16
16
8
8
0
0
0
0
8
8
8
9
9
8
16
0
8
8
4
0
8
0
2
0
0
0
0
4
21
0
20
0
2
8
0
8
0
0
18
8
0
0
0
0
18
18
4
0
16
0
8
8
0
8
0
0
0
5
5
8
0
8
0
0
0
0
0
0
0
25
16
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
16
16
16
8
4
0
0
0
1
9
1
1
0
0
0
2
2
2
2
2
0
0
4
4
0
8
0
0
4
0
0
0
0
0
8
15
1
9
8
32
32
0
0
16
0
8
16
8
0
0
0
0
8
9
8
2
0
0
0
16
8
8
8
8
0
0
0
8
16
0
16
0
32
4
0
0
0
24
0
12
8
0
0
0
0
0
0
8
0
0
9
0
0
0
0
0
0
4
0
4
28
0
0
0
4
0
8
8
4
16
33
0
0
0
0
0
0
16
0
4
0
0
0
16
0
0
24
20
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
57
0
0
16
4
8
16
16
16
0
3
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
20
2
2
2
8
8
8
0
0
0
0
0
16
16
0
0
0
0
0
16
8
8
8
16
0
4
8
8
8
8
4
4
0
8
8
8
0
16
16
0
0
18
16
16
0
0
0
0
24
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
8
32
0
0
0
0
8
8
8
0
0
0
0
0
2
0
4
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
24
4
0
0
0
8
0
2
2
0
8
8
8
16
16
1
24
0
16
8
16
16
20
0
4
8
0
24
0
8
0
0
0
8
24
16
0
0
0
0
0
2
0
6
0
0
16
0
0
20
4
4
8
0
0
0
16
8
8
8
0
24
24
24
8
0
0
0
0
0
2
2
17
48
20
0
0
0
16
0
0
0
0
0
0
0
0
0
0
16
0
16
16
0
0
0
0
8
0
8
8
2
0
16
16
16
16
0
1
1
8
0
0
0
0
16
4
4
8
8
16
8
0
0
0
16
16
16
16
0
14
16
8
0
0
4
3
0
0
0
48
0
0
0
8
8
0
4
4
16
8
0
0
16
1
32
32
8
0
0
8
0
16
3
16
18
18
18
0
0
8
0
0
0
0
0
0
32
32
0
0
0
0
0
0
0
0
0
0
0
0
8
0
40
40
40
8
0
2
24
2
19
8
8
0
0
0
28
8
0
8
0
0
0
0
2
0
0
0
0
0
8
0
0
17
0
0
16
0
2
2
2
2
2
2
2
2
16
0
0
0
0
0
0
16
4
4
0
0
8
8
4
4
4
0
21
21
0
16
0
0
8
8
16
0
0
1
1
28
8
0
0
24
8
8
8
0
0
0
0
0
0
0
8
0
0
8
0
2
2
32
0
4
4
0
0
0
32
32
4
0
6
18
32
32
0
0
0
0
0
0
0
0
0
6
0
16
0
0
16
0
8
0
0
0
0
0
20
8
0
0
8
8
0
8
8
8
8
4
4
0
5
0
0
0
0
16
8
0
0
20
20
16
0
3
4
12
16
8
0
4
4
0
4
16
16
16
0
2
9
0
0
8
0
0
0
0
4
0
0
0
16
16
0
16
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
16
0
17
17
0
8
8
0
0
0
32
0
8
8
8
8
7
16
0
0
2
0
0
0
8
0
0
0
0
0
0
16
16
8
0
8
0
0
0
0
0
0
8
0
0
0
1
1
0
0
2
2
0
0
8
16
16
0
0
0
8
8
8
8
8
0
8
8
0
0
16
0
60
1
0
0
4
0
0
14
14
8
0
0
0
0
0
0
0
0
40
0
8
8
8
2
16
16
16
0
1
0
0
0
0
0
4
24
0
16
0
1
0
0
0
0
24
16
16
0
0
0
16
0
0
0
0
0
0
0
0
0
0
4
4
0
0
16
8
8
0
0
16
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
4
0
0
4
0
8
8
8
0
0
0
8
0
8
8
0
39
16
16
16
16
18
18
8
0
0
0
0
0
29
29
29
0
4
0
1
0
8
8
8
8
8
8
4
0
24
0
0
0
0
0
0
0
0
2
16
16
16
4
4
0
0
0
1
16
16
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
24
8
8
16
8
8
32
8
0
0
0
0
0
0
0
8
0
0
0
0
16
16
16
29
29
29
29
0
16
0
0
8
16
16
16
18
18
2
2
0
0
8
8
8
8
16
0
20
0
0
0
9
51
32
16
2
40
0
0
8
8
16
8
0
4
0
0
0
0
0
8
0
8
2
2
0
0
0
0
8
8
17
8
16
16
16
0
0
8
4
8
0
0
0
0
10
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
8
9
9
1
0
16
0
0
0
0
0
8
8
0
0
20
0
0
0
0
0
16
0
16
4
28
8
8
24
0
0
0
0
8
0
0
8
16
4
4
20
0
0
0
4
4
0
0
0
0
0
0
0
0
0
0
20
0
0
0
0
0
0
0
28
0
0
0
0
0
1
17
8
0
0
0
0
0
0
0
0
0
8
0
0
8
0
0
0
0
2
0
0
9
8
8
0
2
16
0
0
0
0
0
18
8
0
8
0
18
0
0
16
0
0
0
10
24
16
0
0
0
0
0
0
0
0
0
16
0
16
8
16
0
0
0
0
9
0
8
16
8
8
0
8
8
8
0
0
0
17
9
8
0
0
8
8
16
16
0
20
0
0
0
16
16
0
8
8
0
0
0
16
8
16
0
12
12
12
8
0
0
0
0
2
2
8
0
16
16
16
0
24
16
16
24
24
24
16
16
16
0
16
16
1
0
8
0
0
0
24
16
2
2
0
0
32
16
16
0
0
0
8
0
0
0
0
0
0
0
8
0
0
0
0
8
8
6
0
0
0
0
0
8
8
8
0
0
12
0
0
24
12
0
8
8
0
0
0
0
2
2
32
0
0
0
0
0
0
16
16
0
0
8
8
32
0
24
8
8
2
0
0
16
0
8
8
16
0
0
0
6
6
16
0
0
0
0
0
0
8
8
8
2
8
48
48
48
4
0
0
16
16
8
8
8
8
8
8
8
8
8
1
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
1
0
0
0
0
8
8
8
12
0
0
1
1
0
0
0
0
8
9
4
16
28
28
0
4
4
8
0
4
4
4
0
4
4
22
17
0
0
0
0
0
0
0
0
0
0
9
0
8
8
8
5
5
1
1
1
1
16
16
8
0
0
0
27
0
8
8
8
16
16
16
16
0
0
8
8
8
6
0
0
8
8
0
0
4
32
8
0
0
0
4
4
0
0
8
0
0
0
20
0
8
8
8
0
32
32
32
32
32
0
16
4
4
24
16
16
0
0
0
0
16
16
0
0
0
0
8
0
8
0
16
8
8
16
1
0
0
8
8
0
0
3
3
0
0
2
2
0
4
4
4
0
0
32
4
0
0
0
4
0
0
0
0
0
8
8
16
16
0
16
16
0
8
0
0
0
0
0
16
16
24
0
0
0
0
16
57
57
16
8
16
0
2
0
8
0
0
0
0
0
24
24
4
4
24
8
0
0
32
26
0
4
4
4
0
0
0
16
4
0
8
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
8
0
16
0
0
16
0
0
20
20
8
8
8
24
24
24
0
4
0
2
8
8
0
16
4
0
8
16
16
5
0
0
0
8
8
0
0
0
0
0
16
8
0
0
0
0
0
0
8
8
0
12
0
8
8
8
20
20
20
0
0
8
0
0
8
0
0
0
20
16
0
33
2
0
0
20
0
0
16
0
0
4
2
0
0
16
16
16
0
0
0
16
16
8
8
16
16
32
0
0
0
16
16
0
0
18
18
0
8
16
16
0
25
0
0
0
2
8
26
40
16
16
2
2
8
8
2
0
0
0
0
0
29
0
0
0
0
0
0
0
0
0
2
0
0
8
0
0
8
0
0
0
0
0
0
0
0
0
8
8
0
8
8
0
0
1
0
16
0
3
3
3
8
0
0
0
0
0
0
16
0
8
8
16
0
24
0
0
8
0
4
8
16
8
8
8
16
0
0
0
0
0
4
4
4
0
0
2
2
2
2
2
16
8
0
0
0
0
0
0
20
20
0
0
0
0
4
0
0
0
0
8
0
0
0
16
16
0
2
2
0
16
16
16
8
8
8
8
8
0
16
0
8
0
0
0
0
0
0
4
0
8
0
8
0
12
16
0
16
2
2
2
0
0
0
0
0
0
8
8
8
8
0
2
2
8
0
0
0
0
2
4
4
12
0
8
8
0
0
0
0
5
1
0
0
8
0
0
16
0
2
2
2
4
16
16
16
16
16
16
0
8
8
16
16
16
16
0
0
8
8
16
16
16
0
0
0
16
16
16
0
0
8
16
16
16
1
0
0
0
0
0
12
24
0
0
0
8
0
8
16
24
0
1
9
1
8
8
0
0
8
2
2
0
0
0
0
0
0
0
0
0
4
0
0
0
8
2
8
16
16
8
8
20
20
20
0
0
0
0
0
0
0
0
0
16
16
16
0
4
4
16
0
9
9
9
9
12
12
12
1
1
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
8
2
2
2
2
4
32
32
32
32
16
16
0
1
1
1
8
8
1
16
16
0
8
16
16
16
8
16
1
1
16
16
16
0
0
0
0
0
4
4
8
8
8
16
8
8
8
2
8
8
8
8
8
0
0
0
8
16
16
16
16
16
16
16
16
16
16
4
4
4
40
0
16
17
17
17
8
0
8
28
1
1
1
1
1
16
16
16
8
8
8
8
12
12
8
8
8
8
8
8
8
8
0
0
16
0
0
4
8
8
24
0
0
0
0
0
16
16
8
32
4
2
2
8
16
4
18
18
0
0
8
8
0
16
16
16
10
4
16
1
16
0
0
0
8
8
8
8
8
0
0
0
0
0
0
0
16
16
1
1
1
1
4
4
4
8
8
8
8
0
0
0
0
0
0
0
0
0
8
8
4
4
4
4
8
8
1
8
0
0
24
24
1
40
40
0
0
0
0
0
16
16
16
16
4
0
1
8
0
12
16
8
8
8
17
0
8
8
4
4
4
0
0
8
0
0
5
5
8
8
8
8
24
12
0
0
0
0
1
0
8
16
16
16
16
16
16
16
16
16
1
1
2
0
0
0
0
16
0
0
8
0
0
8
0
0
0
4
48
1
1
1
8
8
0
0
0
16
0
0
20
12
12
12
12
0
0
1
16
0
0
8
8
16
16
2
0
0
16
4
4
0
0
0
8
8
24
8
16
16
16
16
32
32
8
4
8
8
16
16
48
16
4
0
0
0
0
8
0
2
1
9
9
9
9
0
32
32
8
16
16
16
16
8
8
8
8
8
8
0
16
16
16
16
32
24
24
24
24
0
0
0
0
2
16
8
20
20
20
1
1
1
1
8
8
8
1
9
8
8
8
28
0
2
0
0
1
8
2
0
8
8
8
1
1
1
1
1
8
8
4
0
4
0
0
0
0
0
0
0
16
16
0
8
8
8
8
8
0
16
4
4
0
0
0
8
16
0
0
0
0
24
24
8
24
42
24
24
16
8
2
2
2
7
7
0
40
57
16
16
16
16
16
16
16
16
40
40
40
40
40
8
8
8
4
4
0
0
0
16
41
41
0
0
8
0
0
0
0
16
8
18
0
0
24
8
16
0
16
16
0
0
8
1
1
1
5
1
1
0
16
16
16
16
0
0
0
0
0
0
0
0
16
16
16
16
16
8
1
4
4
4
4
0
12
32
32
44
1
1
8
32
32
32
32
32
32
32
32
32
32
8
8
8
8
16
16
8
8
8
0
16
16
16
16
0
0
0
0
0
0
4
4
4
4
4
4
0
0
0
1
1
1
1
1
1
1
1
0
0
0
0
8
0
0
16
16
16
18
32
32
32
8
8
8
16
0
8
8
0
0
0
0
0
4
8
8
8
8
32
16
16
0
8
8
8
8
16
0
17
8
8
16
24
24
2
2
0
0
0
8
8
8
8
8
8
19
16
16
0
1
33
1
16
16
0
0
1
0
12
8
8
8
8
4
4
0
16
16
4
4
20
1
0
0
0
0
24
16
16
0
8
0
0
0
0
32
32
2
16
4
4
57
1
16
0
0
2
16
4
4
4
16
16
8
8
0
0
0
0
8
8
8
0
0
0
0
1
0
0
0
0
2
2
2
2
8
16
16
16
16
8
24
8
8
8
8
8
4
2
2
2
2
8
0
0
0
0
0
0
8
16
16
16
16
8
32
32
32
1
16
8
8
0
8
8
2
0
0
4
4
8
16
4
4
0
2
2
0
0
5
1
1
1
0
8
8
8
0
0
0
0
16
52
16
16
4
16
0
0
0
0
8
8
8
8
0
4
4
4
16
16
16
0
0
0
0
0
0
0
0
0
0
4
20
16
16
0
0
0
0
0
16
8
8
8
1
24
24
0
8
0
16
28
4
24
1
0
9
1
8
16
0
0
0
16
16
16
16
16
16
4
4
8
8
0
32
32
16
16
0
0
0
0
0
0
0
16
8
0
16
20
16
32
32
8
0
0
16
32
8
0
0
44
8
1
1
2
2
2
2
57
4
4
4
4
4
16
16
0
8
4
0
0
8
8
8
0
0
2
4
4
28
28
28
0
0
0
0
8
8
8
8
3
3
32
0
0
48
48
0
8
8
0
8
8
8
8
8
8
8
8
0
24
24
24
16
16
16
16
4
0
1
8
1
8
8
8
0
8
8
0
8
0
0
0
0
0
0
0
0
12
32
32
32
8
8
8
8
16
16
1
8
0
0
0
0
0
0
12
12
12
12
0
16
16
8
8
8
8
32
8
8
0
16
0
0
0
4
16
0
0
16
16
16
16
8
16
0
0
0
0
0
0
0
2
1
1
1
1
16
16
8
8
16
16
16
8
5
0
0
8
8
8
8
16
16
32
32
32
16
16
16
16
16
8
8
8
8
8
0
0
25
16
16
16
16
17
4
4
0
0
26
26
26
24
16
16
16
0
8
8
8
8
8
8
1
8
2
0
0
0
0
0
0
16
16
0
0
0
0
48
8
8
8
8
8
0
1
1
1
1
1
0
8
0
16
4
16
16
4
16
16
16
4
16
0
19
19
19
19
0
2
8
8
0
0
0
1
1
1
8
8
8
8
8
0
8
32
0
16
0
16
16
19
16
16
8
0
0
0
0
19
17
17
16
16
8
8
8
16
16
17
16
0
4
4
0
9
20
20
20
20
8
8
1
1
1
1
1
0
16
2
16
16
0
0
0
8
0
8
8
8
8
1
8
32
0
16
16
0
0
8
8
16
16
16
32
32
17
17
8
8
8
8
0
0
16
0
0
0
8
8
8
8
8
8
8
8
8
8
16
16
9
0
0
8
8
0
0
16
17
29
8
4
4
2
24
0
12
17
16
8
1
1
2
2
2
16
0
8
16
8
8
8
8
0
0
2
2
16
16
8
8
2
2
8
8
8
8
0
0
0
8
8
0
0
8
8
8
8
8
0
8
8
8
8
0
8
24
8
8
24
2
2
21
21
16
16
16
0
0
0
0
0
0
0
0
0
0
8
8
4
16
48
16
16
1
8
8
0
0
17
0
0
8
0
1
1
0
8
8
8
1
16
40
0
2
2
0
0
16
16
16
16
37
8
0
21
0
0
16
0
41
41
41
41
17
3
8
0
0
0
1
8
0
4
4
8
40
0
24
24
4
4
16
8
8
0
0
0
0
0
0
0
32
32
18
8
8
8
1
1
1
0
0
37
8
32
9
9
9
8
1
0
0
0
0
0
0
0
8
8
8
4
4
16
16
16
16
0
0
2
17
16
4
4
0
0
0
16
16
16
16
9
9
9
9
9
9
9
8
0
8
16
16
8
8
16
16
16
16
16
8
16
16
9
8
40
61
61
20
20
20
8
8
8
8
0
0
0
0
0
0
17
32
8
16
16
0
4
0
0
2
10
8
8
33
33
33
33
0
0
0
0
8
24
24
24
24
24
24
24
8
8
8
8
8
8
8
8
0
0
8
8
4
4
4
8
0
0
0
8
16
0
4
0
1
0
0
0
18
18
18
18
2
2
4
16
16
8
16
24
16
0
16
0
16
16
8
8
8
8
8
0
0
18
0
0
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
32
20
16
0
0
16
8
2
16
8
1
0
16
16
24
16
8
4
8
16
16
16
8
8
16
16
0
0
1
20
17
16
8
8
0
8
8
0
0
0
16
16
16
16
16
16
16
16
16
0
16
8
8
8
8
8
8
9
9
9
16
24
16
8
20
0
16
16
16
0
4
4
0
16
16
0
16
8
8
0
0
16
24
24
16
16
8
8
8
8
8
0
8
0
24
32
1
1
1
16
16
8
8
24
1
1
16
8
17
17
16
9
9
16
16
16
16
16
16
16
8
2
2
2
0
0
8
0
0
8
17
0
0
0
6
6
0
8
8
22
4
17
8
2
2
8
8
1
32
32
0
0
0
0
1
1
3
3
3
3
3
0
8
8
8
8
18
18
18
8
8
8
8
8
0
16
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
43
0
8
8
0
32
0
8
8
16
16
16
16
1
0
4
4
4
8
4
0
32
8
8
8
8
8
2
2
8
16
8
0
1
4
4
4
8
4
4
0
0
1
16
16
32
25
25
25
25
0
0
0
0
0
8
8
8
4
4
4
4
0
32
32
4
0
0
8
8
1
16
0
0
0
8
0
0
0
8
8
1
1
16
16
0
0
16
16
16
0
1
1
1
28
28
0
0
0
0
0
0
0
0
0
0
0
2
16
16
8
8
8
8
8
8
8
28
8
8
8
8
2
8
48
16
0
8
8
24
16
16
16
16
0
0
0
0
0
0
10
10
8
8
1
0
0
0
0
0
8
32
8
8
8
32
32
16
16
16
16
16
16
8
8
0
32
32
16
16
16
16
0
0
0
16
0
0
0
16
24
1
0
0
24
24
24
0
0
0
0
0
4
2
2
8
8
8
8
0
22
22
22
2
6
4
4
4
1
32
32
32
32
1
1
16
16
16
16
4
4
8
0
16
16
16
0
0
17
4
4
4
4
4
4
32
0
0
0
0
0
0
0
26
26
2
16
16
0
0
0
8
8
8
8
0
0
0
2
2
1
58
58
58
58
8
8
8
0
16
16
16
16
16
8
26
16
0
0
2
0
0
0
20
8
8
4
0
0
0
0
8
8
8
8
0
0
0
16
16
16
0
32
0
8
8
16
16
0
18
0
0
0
0
49
17
16
0
2
16
8
8
8
8
0
0
0
0
0
8
0
0
26
0
8
8
26
16
16
0
0
2
2
32
32
32
16
16
0
2
2
2
2
2
2
2
2
0
24
16
16
16
16
16
16
16
16
16
0
0
0
8
8
32
16
16
0
16
0
0
0
16
16
16
0
0
19
19
0
0
0
0
16
16
16
8
8
8
0
0
8
8
16
16
16
0
0
0
0
0
0
0
0
0
16
16
8
8
1
1
1
1
10
10
1
1
1
0
0
0
8
8
4
0
8
0
0
16
16
16
0
8
8
8
8
8
8
1
8
8
0
0
2
16
8
8
16
2
1
2
2
2
8
8
24
0
0
0
16
2
0
34
8
8
8
8
8
8
8
8
8
8
8
40
0
0
0
3
3
0
12
12
12
0
0
32
40
40
40
40
8
0
5
5
5
0
56
56
8
4
4
24
4
0
0
0
16
0
0
5
8
16
0
8
0
8
8
0
0
0
16
16
8
3
0
0
0
24
16
16
2
2
2
2
0
8
24
20
20
20
20
20
0
8
8
0
16
16
0
0
8
2
8
8
0
16
16
3
0
0
8
8
0
2
2
0
0
0
0
0
0
0
0
39
39
39
39
4
8
8
8
8
8
4
4
0
16
16
16
0
16
0
0
17
16
38
4
4
4
0
0
16
16
16
8
5
8
8
8
16
0
0
0
0
22
22
16
16
4
8
16
8
8
36
36
36
36
36
8
8
8
8
0
16
16
0
2
8
8
0
4
4
0
8
0
1
1
21
0
8
16
16
8
0
0
0
0
0
0
48
48
48
48
48
32
32
8
8
8
8
8
8
8
0
0
17
17
17
16
16
16
16
16
16
8
16
8
8
8
16
0
0
16
16
16
8
1
16
16
20
8
0
4
4
16
16
16
16
16
8
4
0
24
16
0
0
0
8
2
2
33
33
33
33
33
16
16
28
8
8
0
0
0
0
0
8
8
16
16
16
0
0
0
0
8
8
8
8
8
0
0
0
0
0
0
4
4
8
8
0
0
0
0
16
8
20
20
20
2
8
8
16
0
1
1
1
1
8
8
8
0
0
8
8
32
1
2
2
0
24
24
0
1
1
1
1
1
18
2
2
16
16
4
0
0
0
16
16
16
20
4
4
0
0
1
1
1
1
0
8
0
0
0
0
4
4
4
4
4
4
1
8
0
0
8
8
8
8
16
16
16
16
2
8
16
16
16
16
16
0
4
4
4
4
4
20
0
4
4
0
0
0
16
1
12
4
8
8
0
16
16
16
16
0
8
8
0
16
16
0
4
4
4
4
4
16
16
1
2
2
2
8
8
8
8
2
2
2
16
16
8
16
16
16
16
1
1
1
1
12
16
0
0
0
0
8
8
8
4
16
16
16
16
16
16
8
32
32
8
0
0
0
0
0
0
0
0
0
8
8
0
0
0
8
40
16
0
0
0
0
16
16
18
2
0
0
0
32
32
8
8
8
16
16
16
0
0
4
0
8
12
0
16
26
26
0
0
2
2
0
0
0
0
1
1
8
0
0
0
0
48
0
0
0
0
0
0
8
32
8
9
0
4
0
0
17
17
8
16
16
16
2
2
2
16
8
8
8
24
8
8
4
0
0
0
8
8
8
8
8
8
0
4
4
8
0
0
0
0
0
0
0
8
0
8
8
48
18
18
18
21
21
20
8
8
8
16
0
8
16
16
16
16
0
0
1
0
0
16
16
0
0
8
0
16
16
16
0
8
8
8
8
1
1
1
53
16
16
16
0
0
8
8
4
4
0
8
8
0
0
0
1
0
0
8
0
8
0
0
0
0
0
0
0
18
16
9
5
0
0
8
4
4
0
0
0
0
8
13
13
13
8
8
0
4
8
16
16
16
16
24
9
9
9
9
0
0
0
32
32
0
0
0
0
0
0
26
0
8
8
2
8
8
8
0
40
40
16
16
8
4
4
4
0
0
16
0
0
8
8
8
1
1
1
16
16
8
0
0
0
0
0
0
8
5
5
5
5
24
16
8
8
8
8
56
8
8
0
0
0
33
32
16
8
8
8
8
16
24
16
0
1
0
16
0
24
8
16
60
60
8
8
2
0
0
0
0
18
8
16
16
8
8
8
1
8
8
8
1
1
1
0
0
0
0
1
1
1
1
1
24
24
24
16
32
1
0
0
0
19
2
2
0
1
0
4
4
0
0
16
0
16
16
0
4
8
24
16
16
16
16
0
24
8
8
4
0
0
0
0
24
24
24
24
24
48
4
0
0
8
0
0
0
0
0
0
0
0
3
3
3
0
1
10
25
1
1
1
8
8
8
0
0
4
4
0
8
8
16
8
8
16
16
16
16
16
16
16
0
0
8
0
0
0
0
16
16
16
16
16
16
8
0
0
0
0
0
16
8
8
8
8
8
0
8
8
8
8
8
16
8
0
0
32
32
0
16
2
16
0
0
5
13
9
8
8
8
8
8
0
1
4
4
0
1
16
16
0
4
4
8
12
8
8
8
24
24
4
24
8
8
8
8
0
8
2
2
8
8
16
16
16
0
8
16
18
2
8
32
40
8
32
32
16
1
2
2
2
2
24
16
16
0
2
4
4
0
0
8
8
8
8
8
0
0
0
0
8
8
16
16
16
1
1
1
16
16
16
0
0
0
0
0
4
4
4
4
4
1
0
8
32
32
16
25
16
0
20
20
8
16
2
2
16
16
24
16
16
32
8
8
0
8
8
8
8
8
2
17
17
17
8
40
41
40
40
0
32
32
32
0
16
0
0
8
1
1
1
0
1
1
1
24
8
8
8
20
0
16
16
16
16
8
8
8
8
0
8
8
8
8
8
8
8
8
8
8
0
0
8
8
12
0
8
2
8
8
0
0
0
2
10
2
2
2
2
0
0
0
2
16
0
4
4
0
8
8
2
8
8
8
0
0
0
16
16
8
8
0
0
0
0
0
16
25
32
32
32
32
32
8
16
16
16
16
16
16
16
16
40
40
8
8
8
0
0
0
8
17
0
0
8
8
8
0
0
0
8
8
8
8
16
8
8
12
8
12
12
16
8
16
16
4
1
1
8
8
8
8
8
8
16
16
16
0
0
3
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
6
8
8
0
8
8
8
0
0
0
16
16
16
16
16
18
18
0
0
1
4
4
0
16
16
16
16
16
32
0
0
16
1
2
8
0
0
0
0
0
0
0
1
0
0
0
0
0
1
16
16
16
4
4
4
16
16
16
16
0
8
8
8
4
8
24
3
10
0
0
0
0
2
1
2
16
49
49
16
0
2
16
8
8
2
0
8
0
0
16
16
0
8
0
1
26
0
0
0
8
8
34
0
16
8
8
24
8
8
8
12
8
8
8
9
9
0
0
0
0
0
4
1
49
0
8
8
0
16
8
0
24
0
0
4
0
8
8
8
32
32
32
1
1
8
25
25
25
25
25
0
24
16
24
0
0
0
0
0
0
0
8
2
2
10
8
0
0
0
8
0
0
8
8
0
8
16
0
0
8
8
8
8
8
8
8
8
1
1
1
1
0
8
0
2
8
8
8
8
8
0
2
16
18
18
18
18
18
16
24
8
8
8
8
8
1
4
0
0
0
0
0
0
0
4
0
8
8
8
8
8
0
8
1
16
0
4
4
4
4
4
1
1
1
1
1
20
1
0
0
8
8
8
24
16
16
1
16
16
16
16
16
16
16
17
16
0
8
24
4
0
0
16
8
0
0
16
16
16
8
4
14
14
0
32
3
3
3
1
1
1
1
1
8
16
4
8
8
8
8
8
8
8
8
4
4
10
8
0
24
8
40
40
1
0
16
16
16
8
0
0
8
8
8
0
0
0
0
0
0
0
0
8
8
16
8
8
8
8
8
16
16
16
16
0
8
8
0
16
16
16
16
9
0
16
4
16
16
16
24
8
16
8
8
0
32
8
0
17
17
17
8
4
4
8
4
1
17
17
0
0
0
0
1
40
8
0
0
0
17
17
17
17
17
17
8
8
8
8
16
16
8
8
8
8
0
0
1
0
0
0
8
2
2
18
10
0
0
0
0
0
0
0
0
4
8
1
0
4
4
4
4
0
16
8
0
16
8
24
24
4
32
32
32
32
32
32
32
16
16
16
0
1
16
11
16
16
16
26
1
1
0
4
4
8
8
8
8
8
8
0
0
0
16
16
16
0
24
8
8
8
8
6
2
0
0
8
0
0
0
16
16
10
10
4
1
1
2
24
16
16
0
16
0
8
0
0
16
16
0
0
0
0
2
2
2
0
16
0
0
40
8
36
0
1
16
0
8
8
8
8
8
8
16
16
0
16
16
16
16
16
0
8
0
0
8
8
8
0
0
0
0
0
0
0
16
9
9
32
0
0
8
24
0
8
0
8
16
16
16
16
0
0
0
0
8
8
8
2
8
8
8
4
0
0
0
0
4
0
32
2
19
0
9
9
16
16
16
16
16
8
8
0
4
4
0
8
9
16
16
1
0
0
0
16
16
8
8
16
0
8
8
8
8
16
16
16
16
16
8
1
8
16
8
8
8
0
0
0
0
8
8
2
0
0
0
0
0
8
8
8
0
48
4
4
2
0
0
0
0
0
0
0
8
8
1
4
16
16
1
16
16
16
16
0
0
0
8
8
48
48
48
48
48
0
0
3
2
2
16
16
16
7
7
0
0
16
0
0
0
0
1
1
0
0
0
8
1
0
24
0
16
16
16
0
0
0
18
8
8
8
38
38
38
8
13
8
8
8
0
17
17
17
44
8
8
0
0
0
0
0
8
8
4
4
0
8
1
0
0
0
0
0
0
0
1
0
0
16
16
16
16
16
16
16
16
4
17
16
0
0
8
8
8
8
0
9
9
16
0
2
8
0
0
0
0
0
8
49
49
17
17
17
17
17
8
8
2
2
21
21
1
1
0
8
1
1
1
0
8
0
0
8
8
16
4
20
16
32
32
32
16
4
4
4
4
4
16
0
0
0
0
8
24
0
0
8
8
4
16
0
0
0
4
0
2
0
2
2
40
8
8
8
8
0
0
0
1
24
8
8
20
20
20
20
20
8
16
16
5
8
8
8
16
16
16
8
8
0
8
8
8
0
5
1
0
40
16
10
16
16
16
16
16
0
1
1
0
8
16
16
0
16
1
1
1
1
8
8
8
0
0
0
0
16
8
16
24
0
0
8
8
0
0
8
16
16
0
8
49
4
8
4
8
20
0
8
24
24
8
16
16
16
16
16
24
24
24
24
8
8
8
8
8
8
0
0
8
8
0
8
8
24
8
0
0
32
16
8
8
16
16
16
16
16
8
8
7
3
8
32
8
36
4
4
33
33
16
20
16
0
0
0
16
16
16
2
2
16
16
0
1
1
0
0
0
0
0
0
0
16
8
20
0
0
8
8
0
0
0
4
4
4
16
16
16
16
8
8
0
0
0
0
24
2
32
32
32
32
56
32
0
0
0
0
2
2
2
1
1
16
16
8
17
17
17
1
1
1
1
0
16
0
0
0
0
0
0
0
0
8
16
16
16
16
8
16
24
2
2
0
9
9
8
0
0
0
2
24
24
8
17
0
0
0
0
0
0
0
0
8
8
8
16
16
0
0
0
32
32
0
24
24
24
0
2
0
8
0
0
0
0
0
8
0
0
0
0
8
8
8
16
16
8
0
0
5
0
0
0
16
16
0
8
8
0
20
2
20
20
8
0
0
4
0
0
0
8
4
12
0
0
0
16
16
24
4
2
16
16
16
2
2
2
18
18
18
18
18
8
8
5
4
0
8
2
2
0
0
0
0
8
8
1
1
0
16
16
16
2
24
20
0
16
16
16
16
0
8
8
0
0
8
0
8
16
0
4
4
0
17
0
0
0
0
0
0
16
17
16
0
0
0
0
0
8
8
0
0
28
8
4
0
8
8
8
0
0
0
0
0
4
8
0
8
8
0
16
16
16
16
0
4
0
8
0
2
2
2
0
0
8
0
8
8
8
8
8
8
2
10
2
0
0
16
16
16
16
16
2
0
32
8
0
0
0
16
0
3
2
4
16
0
0
0
0
0
0
8
4
4
1
1
0
0
0
24
24
0
0
2
8
8
0
16
16
36
0
8
16
16
32
32
8
0
8
16
4
16
16
8
8
0
8
8
8
8
0
8
32
0
0
0
4
4
2
2
2
16
16
11
1
1
1
0
0
20
0
0
1
8
4
4
4
4
28
16
0
0
0
0
0
0
4
0
9
9
9
0
0
1
16
0
22
8
8
0
8
8
0
0
0
0
8
0
0
0
8
8
4
0
8
8
16
16
0
0
24
24
24
24
12
8
61
1
8
8
8
8
0
0
0
0
8
8
8
8
8
8
16
8
24
0
16
0
8
8
4
4
4
4
4
0
0
0
8
8
8
8
1
32
32
0
0
0
0
0
8
2
8
8
0
8
8
0
32
16
0
6
16
0
0
1
32
0
0
0
0
6
24
16
4
4
4
0
0
0
16
16
16
4
0
0
0
18
17
17
0
0
0
0
0
4
16
2
2
2
1
0
0
0
8
8
0
16
1
0
0
0
8
16
0
0
1
16
8
0
0
4
8
8
0
16
16
16
8
16
0
0
0
0
0
0
0
0
8
8
8
8
40
1
0
0
0
0
16
16
16
1
1
9
0
4
0
0
0
0
8
8
8
6
6
6
4
12
2
2
2
2
2
2
8
8
8
8
8
0
16
16
16
0
24
24
24
24
1
1
1
1
1
0
0
0
0
32
32
16
32
8
12
12
16
9
9
9
9
0
0
0
8
4
4
4
16
8
8
2
2
49
49
49
16
4
4
4
4
4
0
0
0
0
0
8
8
8
8
0
16
8
0
0
4
4
8
8
2
24
16
1
2
0
0
0
0
0
0
0
8
24
24
24
24
24
24
24
0
8
0
0
16
16
16
16
0
16
16
16
25
16
0
0
16
8
1
0
0
8
8
0
0
0
8
4
4
4
8
8
1
0
25
16
0
16
8
8
16
0
8
9
2
2
2
2
2
8
8
8
8
12
8
0
8
0
0
0
16
17
25
25
25
25
1
1
0
16
24
24
8
8
0
0
0
0
32
0
0
0
8
8
8
0
1
1
8
8
2
16
16
10
8
8
8
0
8
0
0
0
8
8
8
8
8
16
0
0
0
1
0
0
0
8
0
0
8
0
0
1
1
8
0
16
16
16
0
1
16
16
0
0
0
0
0
0
0
8
8
8
8
1
0
0
0
0
0
8
8
0
0
4
0
8
19
28
0
16
16
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
27
27
27
27
27
27
27
0
8
8
0
8
9
0
0
0
0
0
8
8
17
0
8
8
4
0
0
0
1
1
0
16
16
16
0
14
0
0
0
8
8
0
1
6
6
6
6
8
8
4
4
16
8
8
8
8
8
8
8
8
2
2
18
16
0
48
0
0
0
0
0
4
32
8
8
0
32
4
32
8
32
8
0
6
0
24
24
24
16
8
0
16
16
0
20
2
16
16
16
9
16
40
40
16
2
24
8
0
0
0
0
12
0
0
2
2
0
0
0
8
8
0
0
16
16
16
16
32
32
1
24
24
0
16
16
16
16
16
0
0
0
0
0
24
32
32
32
32
32
32
32
16
16
16
51
51
51
51
51
0
0
0
16
24
24
24
4
4
4
4
4
0
16
16
32
0
0
8
8
0
0
0
0
0
0
0
8
0
24
24
24
2
2
2
2
8
8
0
1
1
32
32
32
0
16
16
8
1
16
16
16
16
0
18
18
16
16
8
8
8
8
8
13
0
0
16
5
44
0
8
16
4
20
20
20
0
0
16
2
2
2
2
16
1
3
3
2
2
8
8
16
32
0
0
8
8
16
0
0
0
0
8
8
0
0
16
20
20
16
2
2
6
6
6
0
4
4
41
41
12
8
16
0
0
0
24
24
0
8
0
0
0
0
16
16
16
16
6
32
32
56
16
0
0
16
16
0
0
32
16
16
16
0
0
16
16
0
0
0
0
16
16
16
2
0
0
0
1
8
8
8
8
16
16
16
8
0
8
0
0
16
16
16
4
0
8
8
8
0
0
0
1
0
0
0
0
0
16
24
4
8
8
8
8
8
8
8
32
32
0
0
0
0
0
8
16
16
16
16
16
16
16
16
16
8
0
2
16
16
0
0
0
0
0
0
5
5
0
0
0
2
8
0
16
16
8
8
8
37
2
2
0
8
0
0
8
8
32
32
8
8
8
8
0
0
0
0
0
0
0
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
0
8
6
6
6
6
16
4
16
28
28
28
28
28
0
0
0
22
22
22
22
22
24
2
2
1
0
0
1
0
1
1
16
0
0
0
0
1
1
0
4
4
4
4
4
4
4
24
0
16
8
24
0
16
0
8
26
8
0
0
8
56
56
16
4
0
8
8
0
8
8
9
8
8
8
2
2
2
24
8
0
0
0
0
0
0
16
16
16
4
24
0
0
20
20
2
2
2
24
24
16
2
2
8
16
16
8
8
8
0
0
1
1
48
16
0
0
2
2
2
0
0
0
0
18
16
12
12
12
12
16
16
16
16
8
0
0
0
0
0
0
0
0
24
24
0
0
0
8
22
20
8
0
0
0
0
0
8
8
0
32
8
8
8
1
1
1
1
8
0
0
0
0
0
16
16
16
16
16
8
0
0
0
0
0
0
0
0
40
24
8
4
4
4
0
32
4
0
16
10
10
10
0
0
0
4
0
17
4
2
24
24
24
24
0
0
16
0
0
8
0
8
8
0
0
5
1
1
1
1
1
1
16
16
16
0
0
0
0
0
8
8
8
8
8
8
8
0
0
0
0
0
0
0
1
0
2
2
6
0
0
0
0
8
8
0
0
0
0
0
0
8
0
8
4
4
3
5
8
0
0
8
16
16
16
16
4
4
36
1
1
1
1
16
16
16
8
8
0
0
16
24
24
24
40
40
40
8
0
16
16
8
8
8
8
0
2
18
2
2
2
2
0
2
16
16
1
1
32
32
32
21
21
21
0
0
0
0
0
8
9
9
8
8
0
0
48
48
0
8
1
8
0
4
2
0
0
4
8
8
0
0
8
0
16
16
24
16
16
16
16
16
16
0
0
2
0
4
1
1
0
0
0
0
0
0
8
8
8
0
0
0
16
16
16
0
16
8
4
4
4
8
8
4
4
4
16
0
22
20
20
0
16
8
0
10
10
0
0
0
9
9
20
8
2
2
2
2
2
16
0
0
8
0
0
8
16
16
0
0
2
2
2
8
0
16
16
8
8
8
8
1
1
1
16
16
0
0
0
1
1
0
4
4
4
4
16
16
0
8
8
16
0
0
8
8
2
16
16
16
16
10
0
0
8
0
0
0
16
16
16
12
4
4
0
0
0
0
0
0
0
16
16
8
8
8
8
8
8
16
0
16
0
0
0
0
0
0
0
0
0
8
8
1
1
0
0
0
0
0
0
16
1
1
0
0
0
0
0
0
0
0
8
8
8
8
8
8
8
8
8
16
16
16
16
16
8
21
13
2
2
0
8
0
0
0
0
0
2
2
1
0
0
0
0
16
16
16
0
0
0
0
8
0
8
0
32
32
16
16
0
16
16
16
16
16
26
26
26
16
24
0
16
16
0
0
16
16
16
16
16
0
0
0
8
8
8
16
16
16
16
16
8
8
8
8
8
16
16
16
16
8
8
8
8
16
16
2
0
0
0
24
24
0
0
17
16
16
16
16
8
0
0
0
10
10
10
10
0
0
0
3
3
3
3
3
3
16
16
1
8
10
0
8
0
0
8
8
8
0
16
16
4
0
8
8
8
0
2
2
2
2
2
2
16
0
0
0
0
0
0
8
8
8
4
4
4
4
8
8
0
0
2
2
24
24
24
24
16
16
0
8
0
0
0
2
2
0
9
0
0
0
0
1
0
0
4
4
16
0
0
0
0
2
22
0
16
0
8
8
8
8
0
0
0
4
4
0
9
16
0
0
8
8
16
16
8
16
16
0
0
0
0
1
8
2
2
2
2
0
0
24
24
24
24
8
8
8
16
8
0
0
32
32
24
24
0
0
0
0
0
0
16
16
4
1
0
1
1
0
8
33
33
16
16
2
0
0
2
2
2
2
0
8
8
8
24
32
1
1
1
1
1
1
0
4
0
8
8
1
32
16
24
24
24
16
33
8
16
16
16
16
16
4
4
0
8
8
8
12
8
8
16
16
16
1
1
1
8
0
0
0
0
0
0
24
24
16
8
2
2
2
2
6
6
32
40
40
0
0
0
0
16
0
0
0
4
4
4
4
0
0
2
2
0
16
16
0
0
0
8
0
0
0
0
16
4
16
16
32
8
8
8
8
0
0
0
0
4
4
1
1
1
1
1
1
1
1
0
4
4
16
8
8
0
16
16
16
16
16
0
0
0
8
0
0
16
16
16
16
16
16
2
2
0
0
0
8
8
32
16
16
16
16
0
32
32
40
32
32
32
32
32
32
32
32
0
0
0
0
8
8
8
8
8
8
1
8
8
16
24
0
0
0
0
16
19
8
8
8
0
0
0
0
0
0
0
0
0
0
0
8
8
8
16
16
0
0
16
0
0
0
0
0
0
0
8
16
0
1
8
32
16
16
16
16
16
16
16
8
8
16
8
8
8
0
0
0
8
4
1
1
4
4
8
8
8
8
16
16
16
18
18
0
0
0
32
32
32
32
32
33
1
1
1
1
1
1
1
1
1
1
1
1
1
8
0
0
0
8
8
16
1
0
0
12
4
0
0
0
16
16
32
32
32
16
16
0
4
4
1
1
1
1
1
0
16
8
1
1
1
1
16
0
0
16
8
8
49
17
17
0
16
16
16
16
16
16
16
16
16
0
20
20
4
0
0
8
2
2
8
16
16
8
16
8
8
8
0
0
8
8
0
0
0
16
16
16
16
0
1
16
16
8
8
11
11
1
0
0
8
0
0
0
4
4
4
4
4
1
16
16
0
16
16
0
16
4
4
8
0
0
34
10
10
4
16
16
16
60
0
0
0
0
0
0
0
0
4
2
2
2
0
0
1
1
1
0
0
0
40
8
8
16
16
16
16
16
16
16
16
16
0
0
32
32
4
8
8
8
0
8
8
0
0
8
1
8
8
0
0
0
0
16
16
16
16
16
16
16
2
4
4
18
48
16
8
8
8
10
16
16
16
16
52
52
52
34
16
0
1
1
1
8
8
0
0
16
16
16
8
0
4
0
0
8
8
17
0
1
24
16
16
16
9
32
1
1
16
1
1
16
8
8
8
8
8
0
0
0
0
0
0
2
2
2
2
2
1
28
28
28
16
8
8
0
16
16
16
0
0
0
1
1
1
1
8
0
0
0
2
2
2
0
0
16
24
8
8
0
8
1
1
8
14
14
4
9
1
0
2
2
2
2
16
8
0
16
8
8
8
48
4
4
4
0
8
8
8
2
2
0
0
0
6
6
6
32
8
4
8
32
32
0
2
2
8
8
16
16
16
0
0
16
16
0
2
2
2
2
2
4
4
8
8
0
0
8
8
32
56
8
8
8
2
16
16
17
16
16
16
0
1
1
1
1
1
1
1
24
8
8
8
0
16
16
16
16
16
8
4
4
16
16
16
16
2
8
8
0
0
1
1
0
0
0
8
8
8
8
8
0
12
4
32
0
8
8
2
16
0
0
0
16
0
0
0
0
0
0
32
32
32
2
2
17
16
16
16
16
16
16
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
16
16
2
0
8
0
9
9
32
16
8
0
0
0
24
24
0
0
0
0
0
0
8
8
0
0
0
0
0
0
16
16
0
0
8
8
8
44
44
16
16
8
0
16
0
0
0
0
16
16
16
16
16
16
16
20
16
0
0
0
0
0
0
0
0
0
16
16
16
0
0
0
0
16
16
0
0
0
0
0
16
16
8
24
0
24
8
0
0
8
8
16
16
16
2
0
0
13
4
4
4
4
4
4
0
0
0
0
0
0
16
4
4
12
4
0
16
16
4
4
0
2
24
4
4
8
0
8
0
0
16
0
0
0
8
2
2
2
2
2
2
2
16
24
24
24
16
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
20
8
8
8
8
2
3
3
0
8
8
8
8
8
8
8
8
4
8
0
2
2
0
4
4
4
8
8
0
0
16
16
16
0
4
4
4
0
0
26
0
0
0
10
8
1
0
0
0
0
0
4
0
16
16
0
0
0
1
1
8
8
8
0
0
0
0
8
8
8
16
16
16
12
12
8
16
16
16
8
1
8
8
8
16
0
1
0
0
0
0
16
4
16
16
0
0
0
8
16
12
12
12
12
12
4
4
4
24
24
0
24
2
2
2
0
0
0
1
0
35
35
16
16
32
32
0
0
16
1
0
0
32
0
0
0
24
24
8
4
8
8
0
0
0
0
0
0
0
1
1
1
1
8
8
8
8
8
8
8
0
8
16
16
16
16
5
16
0
0
33
8
0
0
0
32
32
1
1
16
17
0
0
16
16
8
8
8
8
4
6
0
16
16
16
16
16
32
32
8
8
8
8
1
0
0
0
16
16
16
17
4
4
4
4
8
8
0
16
16
16
0
4
4
8
16
16
16
16
16
8
8
8
8
8
8
8
0
4
8
17
0
0
0
8
8
1
0
0
24
24
16
16
16
0
0
0
0
12
0
0
0
24
1
0
8
16
8
8
8
8
8
0
8
8
8
8
0
0
13
0
0
0
0
33
32
32
32
1
16
0
8
8
8
0
0
0
16
16
16
16
16
16
16
16
16
0
14
2
2
4
12
4
4
0
0
0
0
8
8
24
4
4
0
16
0
0
0
0
0
1
1
1
1
0
8
8
8
8
0
16
1
12
12
12
12
8
8
8
8
8
8
8
8
8
2
2
16
8
0
6
16
16
28
0
0
16
16
16
8
0
16
16
8
8
0
0
0
16
8
32
32
32
8
32
32
0
0
16
16
16
16
0
0
0
1
1
16
8
8
8
8
0
0
0
6
0
0
8
8
8
16
8
8
8
8
0
0
0
0
0
0
0
0
0
0
8
8
8
0
1
0
0
0
0
0
0
0
16
16
16
8
9
0
8
8
8
8
8
0
0
0
0
16
16
4
4
4
0
0
0
0
8
8
2
16
24
24
0
0
8
2
16
0
0
0
2
16
16
4
4
0
0
0
8
16
8
32
16
4
4
4
0
16
0
0
0
9
24
4
4
8
40
32
32
17
17
0
0
0
0
0
0
0
0
0
0
0
0
0
40
40
8
8
8
8
0
0
16
16
0
0
0
8
8
46
44
20
8
8
0
0
0
0
8
8
8
0
16
16
16
0
16
16
24
24
24
8
0
0
0
0
0
8
8
8
8
16
8
8
8
1
8
16
16
20
20
0
16
0
0
0
0
16
32
32
1
0
8
0
0
0
2
8
0
2
2
4
4
4
4
4
8
32
0
8
0
16
16
0
0
0
0
0
0
0
0
0
16
16
8
0
0
0
0
8
8
0
0
32
32
32
0
57
1
17
8
4
4
8
8
0
0
0
8
0
0
0
16
16
0
0
0
0
8
8
0
8
0
0
0
34
4
4
0
4
4
20
1
0
0
16
0
0
0
17
0
0
0
8
8
8
8
8
0
8
8
4
16
0
0
0
24
4
4
4
4
0
0
0
36
37
0
0
0
0
16
2
0
0
0
8
8
0
0
16
0
0
16
0
0
16
4
4
4
2
2
0
0
0
8
16
0
0
4
4
4
0
8
0
8
0
8
8
40
40
16
16
16
16
4
4
4
8
0
2
2
2
16
0
8
0
0
0
2
2
2
1
0
0
0
0
8
8
0
8
16
16
16
16
16
16
16
8
8
0
0
8
18
2
2
2
4
4
4
0
0
0
9
8
9
16
10
10
10
10
0
0
0
8
8
8
37
37
8
8
0
8
8
8
1
4
2
0
0
0
8
16
16
8
0
0
0
2
0
0
0
1
0
0
0
16
0
0
0
0
30
0
0
1
1
17
17
16
8
20
16
16
16
17
1
1
8
0
0
49
49
17
17
8
8
0
0
0
0
0
0
1
21
21
2
2
2
0
24
24
8
16
1
0
8
12
8
8
8
8
1
9
1
4
4
32
8
8
9
0
0
16
16
16
0
0
0
8
8
40
2
6
0
0
8
1
0
2
8
0
1
1
1
8
16
16
18
16
16
16
4
4
8
0
0
0
1
16
0
0
16
16
16
16
16
16
16
16
0
8
0
8
8
49
8
8
8
8
8
8
8
8
8
2
16
1
16
0
0
0
0
0
0
0
0
0
0
0
8
8
48
48
8
0
4
16
16
0
0
0
17
16
16
8
0
0
16
16
16
16
16
16
16
0
0
0
0
8
1
8
16
0
0
8
24
4
7
7
1
16
0
16
16
32
32
16
2
8
8
8
8
4
8
0
0
0
0
8
0
0
0
6
0
0
8
0
0
2
2
16
1
1
24
24
24
0
16
16
16
0
24
8
8
0
0
0
8
8
32
32
32
32
0
0
0
1
8
32
0
0
0
0
0
4
4
4
4
0
32
8
8
8
8
0
8
8
8
8
0
0
8
8
24
24
24
0
16
0
0
0
0
1
8
0
2
2
2
1
0
20
20
20
0
8
16
0
0
0
0
32
16
16
0
0
0
2
2
2
2
2
2
2
2
2
2
0
0
0
0
8
8
8
8
8
8
8
16
16
8
0
59
59
59
59
16
16
16
16
2
6
8
4
4
0
0
0
4
1
1
8
8
9
0
0
0
0
0
0
0
16
16
1
4
4
1
8
8
8
8
8
16
2
8
8
12
9
8
8
8
16
16
16
49
0
0
24
16
16
16
16
24
24
8
8
8
8
40
8
8
8
0
0
0
8
8
8
0
4
0
1
1
1
16
16
8
8
8
0
0
2
2
2
16
8
8
8
8
8
0
16
16
1
0
0
0
16
16
2
2
0
0
0
0
0
0
0
1
1
8
8
0
0
0
16
8
20
20
8
8
8
8
8
8
13
9
0
0
1
1
0
0
0
0
0
0
16
16
16
1
8
8
8
24
1
8
8
16
0
0
0
0
0
16
16
20
8
8
16
8
0
0
0
8
8
8
8
8
0
0
0
0
16
32
16
16
20
16
16
16
32
32
32
32
32
16
8
8
8
0
0
0
4
4
4
0
4
16
0
29
29
8
4
8
8
16
16
16
8
0
0
0
16
8
0
0
16
1
8
4
25
0
0
0
0
14
8
8
16
4
8
8
8
0
8
1
1
8
0
0
8
8
8
0
16
16
1
1
1
1
1
0
0
0
0
0
8
8
8
0
0
8
8
8
8
0
0
10
10
1
16
0
8
6
1
1
1
1
4
4
8
0
1
1
0
4
0
0
2
0
8
8
16
16
2
10
0
16
16
1
16
16
10
6
6
6
6
8
8
8
0
0
0
0
0
56
0
0
0
0
20
8
8
8
4
4
4
0
0
0
8
8
8
8
4
8
8
8
8
8
8
0
0
3
3
16
33
33
33
2
2
2
2
16
16
1
0
0
0
0
8
0
8
8
16
8
3
3
0
0
16
16
16
8
0
0
8
0
8
8
8
0
32
32
32
24
24
24
24
24
24
8
8
8
0
8
8
1
8
8
0
1
8
8
32
20
8
8
8
8
8
8
8
8
0
0
8
8
16
8
0
8
8
16
0
0
8
0
0
8
16
16
16
8
8
8
0
0
0
8
0
0
0
2
2
19
16
12
12
0
2
0
8
8
8
0
8
16
0
0
0
0
8
8
0
48
2
16
4
4
8
8
8
0
2
10
0
16
16
8
16
32
0
0
8
16
0
0
0
32
16
0
0
8
12
12
12
12
12
12
12
12
12
0
8
8
1
0
0
32
16
2
18
16
8
8
8
8
8
8
8
0
0
0
16
4
8
8
8
8
8
16
16
16
16
0
16
16
8
0
0
8
8
9
9
6
48
16
16
0
0
0
0
16
0
8
8
16
8
0
16
16
16
8
8
8
8
16
0
0
8
16
16
16
16
16
16
8
28
26
16
8
8
8
8
0
8
8
0
0
0
0
16
16
8
16
8
2
0
0
0
8
8
8
32
8
8
0
2
32
17
0
8
8
8
0
0
0
0
0
0
0
32
32
32
32
32
0
0
0
0
24
1
0
4
4
0
0
0
0
18
4
0
0
0
8
8
8
8
8
24
16
0
0
0
8
2
2
8
8
16
24
8
0
16
0
10
2
2
16
16
8
8
13
4
1
1
1
4
4
4
4
4
0
32
32
0
4
8
8
0
16
0
0
0
0
8
0
0
0
8
0
8
8
8
8
8
8
8
8
16
16
16
16
0
0
0
8
8
8
0
0
0
8
8
8
8
16
16
8
0
0
0
2
2
2
2
0
1
0
0
2
2
2
2
2
1
8
8
8
16
16
0
0
0
29
4
8
0
0
0
0
0
0
0
0
0
8
1
4
4
4
4
4
4
4
4
0
16
16
16
0
0
0
0
16
16
16
8
8
8
0
8
8
0
1
0
8
8
8
8
16
0
0
8
0
0
16
0
0
4
4
1
0
8
24
0
8
8
32
0
0
0
8
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
8
0
0
0
16
0
8
8
0
0
0
9
8
8
16
16
16
16
0
36
36
4
4
8
0
0
0
6
1
0
0
0
0
24
24
24
24
24
24
24
24
16
16
32
16
16
16
16
20
16
16
8
0
0
16
4
4
4
4
0
0
0
0
0
0
0
0
0
1
8
24
0
0
0
0
1
1
8
16
0
16
18
16
16
0
0
0
0
8
8
8
0
6
4
4
32
16
16
0
0
0
0
0
1
0
0
0
16
16
16
16
16
16
0
0
28
16
16
2
2
1
0
0
20
8
1
1
7
7
0
0
0
16
16
0
17
16
16
16
4
0
0
0
0
9
0
8
8
9
9
1
0
1
1
8
8
0
4
40
40
32
32
8
1
0
0
0
0
0
0
43
1
0
8
13
13
13
17
17
14
0
0
6
6
0
0
17
16
0
0
2
2
4
0
8
0
0
0
0
24
0
16
16
16
16
16
16
16
0
0
0
0
16
0
0
0
0
2
2
16
16
0
8
0
16
16
0
16
8
16
8
4
0
2
2
1
1
17
57
1
1
0
0
0
2
2
16
16
0
20
20
20
20
20
20
25
24
8
8
8
8
8
8
16
16
16
1
1
8
8
40
0
16
16
16
24
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
16
4
0
0
0
0
0
8
8
8
8
0
0
0
8
8
16
16
16
16
8
4
60
4
16
8
8
0
0
0
0
0
0
11
11
0
0
8
8
8
8
8
8
8
32
1
0
1
0
0
0
0
1
1
0
0
30
16
16
0
0
0
0
1
1
0
16
8
16
16
16
16
16
16
16
16
2
8
8
8
8
8
8
8
0
0
0
0
0
0
16
16
0
0
0
0
0
0
16
0
0
12
12
12
12
12
12
12
12
0
0
0
2
2
2
2
11
0
0
0
0
0
16
16
16
16
0
8
8
0
0
16
16
16
16
2
2
8
8
8
8
0
8
0
8
8
8
8
8
8
16
16
16
24
8
8
8
0
16
24
16
16
16
1
16
16
16
16
8
2
1
1
1
1
16
16
16
16
16
16
0
0
0
0
0
0
8
16
16
16
16
16
4
4
4
0
0
4
4
6
4
20
16
8
8
8
8
8
8
8
8
16
0
0
0
0
9
8
4
4
4
0
0
8
0
0
16
0
0
16
0
0
8
16
8
0
48
28
16
32
0
0
0
16
16
0
16
16
44
8
0
0
0
16
0
16
4
4
12
1
0
8
8
8
4
1
1
1
8
16
24
0
0
0
8
8
8
2
2
2
2
8
8
16
0
0
0
21
21
21
21
21
0
24
8
8
8
8
8
8
4
4
4
16
16
16
16
16
16
16
16
16
16
14
0
0
8
0
0
16
16
8
8
8
8
4
8
8
8
8
8
8
0
24
0
0
0
8
0
0
16
4
0
40
2
8
0
24
8
16
16
1
1
16
2
1
8
0
12
8
8
8
0
26
0
16
16
8
8
8
8
8
8
8
8
8
1
1
2
0
1
1
0
0
0
4
4
4
4
17
17
17
0
8
4
8
0
0
6
8
8
0
0
16
8
8
8
8
8
8
16
4
4
2
2
2
16
0
0
24
16
16
16
16
16
16
16
16
4
0
16
16
16
0
16
4
4
0
0
0
16
20
0
4
6
16
16
16
20
0
0
8
1
1
0
0
8
0
6
4
4
4
4
4
0
16
16
16
8
8
8
1
0
8
8
8
8
8
0
4
4
0
2
8
24
0
0
0
0
0
0
0
4
4
4
0
0
0
0
0
0
0
24
24
1
1
1
0
1
1
1
8
8
0
16
16
8
0
0
0
0
16
16
16
12
0
0
0
0
8
8
8
16
0
0
0
16
0
0
16
16
16
16
8
8
8
8
8
8
8
8
32
12
0
0
0
0
0
0
16
41
0
8
8
8
8
0
0
2
2
2
2
2
2
4
4
0
0
0
0
0
0
4
4
0
1
1
32
0
0
8
16
16
16
0
2
2
2
1
1
1
8
0
8
8
8
26
26
26
0
16
16
16
16
16
20
8
8
8
20
4
0
0
17
17
0
0
2
2
2
2
2
2
2
8
16
8
8
8
8
0
32
32
0
0
0
0
8
32
32
30
30
8
8
8
24
24
8
8
43
0
0
0
0
0
0
32
32
24
16
16
8
0
16
8
16
16
16
16
16
0
0
0
1
8
8
56
4
4
4
4
4
0
0
0
0
16
0
2
2
2
2
2
0
0
8
8
8
16
16
16
32
32
32
8
4
4
4
4
4
8
2
2
0
4
4
8
8
16
16
40
0
0
0
8
16
1
1
1
1
0
8
8
8
16
16
0
0
0
8
8
8
8
8
8
1
8
1
1
1
0
0
16
16
0
0
0
0
1
16
16
16
0
0
4
0
0
16
8
0
0
8
8
8
8
8
8
16
16
2
16
0
3
0
0
0
1
9
16
16
16
40
40
1
49
49
49
49
49
49
49
1
1
2
2
2
32
32
32
0
8
0
16
16
1
1
0
8
8
8
8
1
1
0
0
16
4
0
0
0
9
0
0
16
16
8
4
1
17
0
0
0
0
8
16
16
16
16
4
0
8
0
1
8
24
1
1
0
8
8
8
4
2
17
17
0
8
8
0
0
0
0
0
0
0
1
1
1
1
1
8
8
2
0
4
1
8
0
8
0
0
28
8
8
8
0
0
0
8
8
16
16
16
0
4
4
24
24
0
16
32
32
32
32
4
12
12
12
0
0
24
8
1
32
16
0
0
24
8
8
1
13
13
13
13
1
0
0
0
0
0
0
0
0
0
8
32
17
17
16
24
24
24
2
0
16
16
0
0
0
0
0
0
32
32
0
8
8
8
8
0
0
0
8
8
8
0
16
16
48
0
0
0
4
0
0
0
4
4
32
32
32
16
0
0
0
8
4
8
8
8
8
4
4
0
0
16
16
16
16
16
16
0
16
16
0
0
16
16
0
0
0
0
1
24
0
16
8
0
0
0
0
0
0
0
1
4
16
16
24
16
8
0
0
0
32
32
32
32
0
10
2
8
0
17
1
1
1
1
1
1
1
1
12
6
14
0
0
0
16
8
0
0
4
0
0
0
4
4
9
9
0
0
2
2
4
4
4
4
0
24
24
24
0
8
24
24
24
24
24
0
0
0
0
20
0
0
0
0
4
4
0
8
4
4
0
0
0
0
8
16
16
16
8
8
8
0
8
24
24
24
1
1
32
9
24
0
0
0
16
16
8
8
8
24
8
0
0
0
16
16
35
32
32
32
12
0
0
0
0
0
0
4
0
8
4
1
1
32
16
0
0
0
0
4
16
16
16
16
16
16
0
0
0
0
0
0
4
4
0
8
8
8
8
24
0
0
0
48
32
8
16
8
8
8
8
8
16
8
2
1
1
0
0
0
0
0
0
4
4
16
4
4
4
0
8
1
1
8
8
8
8
8
0
0
8
8
8
0
16
17
8
8
1
16
16
16
22
1
23
0
4
0
0
0
16
32
32
32
0
0
0
0
0
0
0
0
0
4
8
8
8
0
0
0
1
0
0
0
8
8
24
0
0
0
4
4
4
4
4
0
0
16
16
16
16
0
2
0
9
16
12
16
8
8
3
3
35
35
8
8
8
16
16
8
8
4
0
16
16
16
2
1
1
1
24
32
0
0
0
0
0
4
4
1
1
1
1
0
0
0
0
0
0
8
8
32
32
16
16
8
8
8
8
32
32
1
4
4
4
4
0
0
0
8
0
0
0
0
8
8
8
8
8
0
0
16
16
16
24
24
24
0
16
16
8
0
16
16
16
20
20
20
0
0
0
16
16
16
11
1
1
4
4
4
0
0
16
8
8
24
24
8
8
6
16
16
16
8
8
0
0
16
0
0
16
16
16
16
0
16
16
8
8
26
26
8
4
16
16
0
0
0
8
8
0
0
0
0
0
0
0
0
0
8
8
8
8
8
0
32
8
4
0
0
0
33
33
8
0
8
8
16
16
16
8
8
8
8
8
8
0
0
16
0
8
8
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
8
8
8
16
16
16
16
0
24
24
1
1
8
9
18
16
16
16
16
16
16
16
16
16
16
0
1
1
1
1
1
1
0
16
16
8
8
0
0
0
2
2
8
8
8
8
8
0
0
8
8
1
1
0
20
16
0
0
1
1
8
8
8
24
16
0
1
20
20
0
16
8
16
16
0
8
8
16
16
16
16
16
17
17
17
17
17
17
17
8
4
8
8
8
8
8
8
24
24
24
24
44
9
1
1
1
1
1
1
0
0
0
0
0
16
16
16
60
60
8
8
8
0
0
0
0
0
16
16
0
20
16
24
24
0
0
2
2
2
2
2
16
16
0
24
8
16
16
32
32
0
8
16
16
16
2
2
0
0
57
57
0
0
0
16
0
8
8
0
0
0
0
0
0
14
14
16
0
16
16
0
1
16
0
4
8
8
16
8
0
0
16
10
10
0
8
8
8
8
8
8
16
0
0
0
8
8
8
8
1
0
0
0
0
0
24
8
25
25
25
25
0
16
16
16
13
13
8
8
8
8
8
16
8
8
8
8
8
8
0
8
0
0
0
0
0
4
4
0
0
0
1
1
1
1
2
2
2
16
16
16
8
8
16
0
0
8
8
8
8
0
16
16
4
4
16
16
16
0
0
0
0
2
25
0
0
56
8
16
16
16
24
0
56
48
48
32
32
32
32
0
0
0
16
16
16
0
4
0
8
16
16
2
2
33
1
16
16
16
8
0
0
0
1
8
9
9
16
0
8
8
0
0
0
0
16
4
8
8
8
0
0
0
0
0
17
0
0
8
0
1
8
8
16
4
4
4
0
0
0
0
0
0
0
16
0
4
4
9
9
40
2
2
16
16
16
16
16
8
0
16
16
32
32
1
1
1
8
8
2
0
0
2
0
9
16
4
17
48
8
16
0
0
0
0
0
16
2
16
16
8
8
8
0
0
8
8
8
8
4
4
16
16
16
16
16
16
0
0
4
0
17
1
8
0
4
16
4
4
4
53
53
0
0
0
0
1
26
0
0
8
0
4
4
16
16
16
4
0
0
0
8
8
4
0
0
0
26
0
0
16
16
16
16
16
16
16
0
16
8
16
0
0
0
0
8
0
0
10
10
10
10
32
4
4
2
2
0
0
0
0
0
16
8
8
0
0
8
8
4
24
16
16
0
0
0
4
0
8
8
8
16
16
8
8
8
8
16
0
8
8
8
1
0
0
0
0
0
26
4
4
16
16
16
8
8
8
8
4
4
0
0
0
6
4
4
4
16
16
16
0
0
0
8
8
8
4
4
4
16
16
16
16
16
16
26
26
26
16
32
8
4
4
16
16
16
16
16
8
8
8
16
20
20
20
36
36
36
16
16
0
0
0
8
8
24
8
2
8
8
8
8
8
8
8
8
8
2
9
0
0
2
2
10
16
16
4
20
0
8
8
8
0
8
32
32
6
6
6
8
0
0
0
0
0
4
5
4
0
16
16
16
16
8
8
8
0
16
8
8
8
1
1
1
24
31
16
8
2
8
8
8
8
32
24
24
16
1
0
24
24
17
16
24
24
2
2
2
2
2
16
16
8
8
16
16
16
16
16
16
0
0
8
12
0
4
4
0
0
0
0
0
2
2
4
8
8
1
1
1
2
16
16
16
16
16
32
8
8
8
24
5
5
8
8
8
8
16
16
8
8
2
2
2
24
24
16
18
18
1
1
1
1
16
16
16
8
16
0
0
0
8
0
0
0
16
16
4
4
4
4
0
32
32
32
8
4
4
8
16
8
8
8
8
32
8
0
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
0
2
2
0
0
0
0
0
2
8
0
16
4
4
4
0
0
0
0
16
24
0
8
0
0
0
0
0
0
0
0
1
1
52
1
1
32
32
32
0
57
57
57
0
16
8
2
2
16
16
8
0
8
8
0
16
16
16
0
0
20
0
8
8
1
16
16
4
4
4
16
16
16
8
16
16
16
16
16
8
8
8
0
0
0
28
0
0
0
0
0
0
0
32
16
16
0
8
8
0
8
16
8
8
16
16
16
16
48
0
0
8
8
24
24
24
4
4
4
8
13
13
25
25
25
8
0
2
0
0
0
0
22
22
0
0
0
0
0
8
0
24
24
2
2
0
8
16
8
24
16
16
16
16
16
0
0
32
16
32
32
1
8
8
8
8
8
8
8
1
8
0
0
16
16
0
8
8
24
24
0
8
0
0
0
0
8
0
0
8
8
8
8
8
8
8
8
16
8
8
0
0
0
8
8
8
0
8
0
2
41
8
40
4
0
0
8
8
8
8
8
4
4
4
4
1
8
42
4
0
0
16
16
32
32
0
25
0
0
20
4
4
0
0
0
8
0
8
16
16
16
0
0
0
0
0
0
16
8
0
8
16
8
0
56
0
0
32
32
32
32
32
32
0
16
8
8
8
8
0
0
0
2
16
0
0
0
16
16
16
16
16
16
0
0
16
16
16
16
16
16
8
8
8
8
0
0
0
0
12
0
24
24
4
16
16
0
24
24
0
16
16
16
16
4
4
4
4
8
8
16
16
16
8
8
24
24
28
8
4
8
8
16
16
32
32
0
0
0
0
16
0
0
0
0
0
32
32
0
0
0
8
8
24
2
4
4
0
0
0
0
32
32
32
0
8
12
8
8
8
8
8
0
2
2
2
2
16
16
16
0
0
8
8
0
0
8
57
0
17
1
16
16
16
16
0
0
0
0
16
9
9
16
26
16
16
16
16
0
0
21
8
2
2
2
2
2
16
16
16
16
16
0
0
0
0
0
8
8
0
32
8
0
0
16
16
16
1
8
8
8
8
4
8
1
0
0
0
0
0
0
0
16
16
16
17
0
0
16
16
19
2
4
1
9
9
21
21
4
4
4
16
16
16
16
8
8
8
8
16
0
0
0
0
0
0
0
8
4
4
8
8
8
8
0
0
0
0
1
17
0
0
2
17
8
8
0
0
0
0
0
20
20
12
4
0
0
0
0
0
0
0
0
4
4
4
0
2
0
4
4
0
0
4
0
0
0
10
10
8
0
0
0
0
8
0
0
0
0
0
2
2
2
2
4
4
4
8
8
8
8
2
2
8
8
8
8
8
0
0
0
0
0
0
0
0
0
8
1
8
8
8
8
8
8
8
8
0
1
8
8
9
9
9
9
9
9
9
9
0
8
0
16
16
16
24
0
0
1
1
1
16
4
8
8
8
16
4
2
8
8
8
8
8
0
0
0
0
0
4
4
4
4
0
17
16
24
16
16
8
2
2
2
16
8
8
8
16
16
16
8
8
4
1
0
0
0
8
8
8
1
0
0
0
16
16
16
16
8
16
16
16
16
0
0
17
17
8
16
12
24
33
33
8
8
8
8
16
16
16
16
16
16
16
16
16
0
9
16
16
0
2
8
0
0
1
0
8
8
16
16
16
16
16
16
0
16
20
16
16
4
8
8
8
0
0
16
0
16
16
4
4
2
0
0
4
8
8
8
0
0
0
0
12
0
16
16
16
22
22
22
6
8
0
8
8
8
8
16
16
8
8
4
4
0
0
16
1
1
0
0
8
1
1
62
7
2
2
0
8
8
0
8
8
25
25
8
8
8
16
32
1
8
0
0
0
29
13
12
0
20
20
20
4
1
8
0
8
8
8
8
24
0
0
16
16
16
8
8
8
8
8
4
16
0
0
16
16
16
16
4
0
8
0
8
8
0
0
0
0
0
0
0
4
4
16
26
8
8
8
8
8
8
8
8
8
16
16
8
32
16
0
0
0
0
16
16
16
0
8
2
0
0
16
16
0
16
16
16
8
1
1
8
8
48
0
1
4
19
19
19
1
1
32
2
20
20
20
20
20
4
8
16
32
0
1
8
0
0
0
0
0
16
20
16
4
1
18
16
16
16
16
16
16
16
16
0
8
8
8
0
8
9
14
0
0
0
8
0
0
8
12
12
4
16
16
0
0
0
2
2
2
16
16
0
0
2
8
8
0
22
8
16
16
8
8
8
8
27
27
0
0
16
0
0
1
2
2
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
24
17
16
1
8
8
16
16
16
0
1
1
0
4
16
16
16
16
20
6
0
0
1
0
1
8
8
8
0
0
2
16
0
0
16
8
32
32
32
32
32
0
8
2
2
16
24
24
0
0
16
16
16
16
0
0
0
26
32
32
1
1
1
1
5
4
0
0
0
0
0
0
0
0
0
0
16
16
16
0
0
0
0
32
0
4
4
4
8
8
8
16
16
0
2
2
41
41
8
8
8
8
32
6
16
1
1
1
26
27
27
8
8
0
16
2
0
0
0
0
16
4
0
1
1
1
1
1
1
1
1
1
0
0
0
0
8
8
8
0
8
8
0
16
2
2
2
2
0
0
0
16
16
16
16
16
1
8
8
4
8
26
26
26
26
26
26
26
4
16
16
16
16
0
0
1
24
16
16
16
0
0
0
1
0
16
16
16
0
1
1
1
1
16
16
16
16
16
0
0
8
6
0
0
2
0
0
0
0
16
0
0
4
0
0
16
8
8
1
1
0
8
0
1
9
2
4
16
16
16
0
0
16
4
4
0
0
0
0
8
2
0
0
48
0
8
0
0
0
16
0
16
0
0
16
16
0
1
1
4
4
48
16
16
0
4
4
4
4
24
16
16
16
16
0
0
1
1
1
1
8
2
2
2
2
2
0
8
0
8
0
0
0
0
0
0
57
16
31
31
31
31
31
31
0
0
2
2
32
0
8
4
4
4
4
4
4
0
8
0
0
0
16
16
0
0
0
0
0
0
2
32
32
32
32
32
8
8
8
8
41
16
48
0
1
16
16
16
8
8
0
2
0
1
1
2
33
0
0
0
16
1
1
1
32
0
1
1
2
10
2
0
0
0
1
2
4
4
8
8
8
4
4
4
4
8
8
0
16
2
4
8
0
0
8
0
24
24
24
60
1
0
0
0
0
0
1
8
16
0
0
0
8
32
32
32
32
16
4
0
16
8
0
8
0
0
8
8
0
24
8
8
8
24
8
24
24
24
3
3
0
0
0
0
0
0
0
0
0
0
8
2
2
2
2
16
16
8
4
4
8
8
8
16
16
4
32
16
16
16
1
4
4
4
0
0
0
0
0
8
8
8
8
0
0
4
2
2
16
0
8
0
0
24
24
24
9
8
8
8
8
0
0
0
0
0
0
0
8
8
8
8
8
8
4
0
0
0
0
16
16
4
8
32
8
8
0
0
0
0
0
0
0
0
0
8
8
8
24
8
8
22
22
6
6
2
0
0
0
1
1
0
0
0
0
0
0
0
44
44
44
44
16
16
0
8
8
8
8
8
0
0
16
32
20
0
0
8
8
8
32
32
32
0
0
1
2
0
40
8
13
16
0
8
0
0
0
40
40
32
4
4
4
48
48
48
0
0
16
16
0
8
8
4
8
8
1
1
8
8
8
8
8
0
8
2
2
2
8
8
16
16
16
16
0
8
0
8
16
16
0
0
0
18
18
8
8
8
16
16
16
8
4
4
8
8
8
16
16
0
0
0
0
0
0
8
8
32
20
20
20
20
20
20
16
16
0
1
1
8
8
8
8
8
8
0
0
0
18
8
8
4
0
10
0
0
8
8
8
0
0
0
0
16
8
0
0
12
16
16
0
8
8
6
16
17
8
0
0
0
0
8
16
16
16
8
8
16
16
16
16
4
4
4
0
0
0
8
16
16
16
16
16
0
0
0
16
16
0
16
16
0
4
0
32
16
8
8
8
8
8
8
8
8
8
32
32
8
1
1
16
16
16
16
1
16
16
8
1
1
8
4
9
1
1
1
1
1
1
1
1
1
1
1
16
16
16
0
32
2
2
8
24
16
16
16
16
16
8
8
1
0
16
32
32
56
16
1
0
8
8
8
8
0
2
16
16
16
2
0
16
16
17
17
8
8
8
4
0
0
0
0
0
0
0
8
8
0
0
0
0
16
16
0
8
2
2
0
0
8
8
4
32
32
32
32
0
0
0
0
0
16
17
17
0
10
10
10
8
2
2
9
9
4
2
32
5
8
8
8
8
16
16
32
1
1
1
40
40
40
32
16
17
0
0
20
20
2
2
4
4
16
8
3
3
3
16
0
16
9
0
0
10
10
2
2
0
16
16
33
33
33
33
16
16
8
8
4
16
16
16
16
16
8
0
0
0
8
8
8
2
0
0
9
9
8
8
16
16
16
16
0
8
8
0
0
25
25
17
8
0
0
32
8
32
40
8
8
0
8
8
2
2
0
0
0
0
0
16
16
16
16
16
16
8
2
8
8
0
0
0
0
1
1
10
8
8
0
4
4
4
1
1
8
24
16
16
16
16
16
16
16
8
8
8
16
16
16
16
19
0
24
8
8
8
0
0
1
32
32
32
32
32
32
4
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
8
0
0
16
16
16
8
40
32
8
1
1
1
16
16
40
16
16
16
0
16
16
16
16
8
0
0
1
8
8
8
8
8
8
8
8
8
8
0
0
17
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
2
2
16
16
4
22
4
16
0
20
20
32
0
0
0
0
0
0
8
8
8
8
16
48
0
0
0
16
1
0
0
0
22
8
8
8
8
8
8
8
8
8
0
16
0
50
2
32
16
16
16
0
0
0
16
16
16
16
16
16
16
4
4
4
4
4
0
0
0
16
16
4
4
4
8
10
4
4
0
0
0
0
8
16
16
16
16
0
0
0
0
16
4
16
16
16
8
16
0
0
16
16
16
16
0
0
0
0
0
0
1
1
1
1
1
1
1
9
2
2
0
16
0
8
8
8
8
4
4
8
0
0
0
16
16
16
16
16
4
28
28
24
0
16
16
8
8
1
8
8
8
8
8
8
8
2
2
24
16
0
16
8
8
0
0
2
0
16
16
16
8
8
8
16
16
0
0
48
48
16
16
16
16
16
8
8
8
14
15
14
8
40
40
0
0
32
0
0
4
4
8
8
18
18
8
8
8
8
8
8
8
8
8
8
8
16
16
1
8
8
8
8
16
16
0
16
16
16
1
9
0
0
0
4
16
9
9
9
2
2
16
0
8
8
12
1
8
8
8
2
10
8
8
8
8
8
0
16
16
8
16
8
16
0
8
8
0
0
0
4
20
4
2
2
2
0
0
0
0
8
8
8
8
8
2
2
4
4
4
8
0
8
16
8
8
0
0
0
0
0
0
8
10
10
16
16
16
8
0
0
0
28
24
16
16
8
8
8
16
16
16
0
16
16
16
0
1
8
21
21
0
0
0
0
0
0
0
16
16
16
16
16
1
8
8
16
16
16
8
0
2
16
0
0
0
0
0
0
0
0
1
16
16
16
32
16
16
16
16
16
16
16
16
16
16
16
16
16
0
0
8
0
0
0
0
18
16
8
4
4
0
0
24
24
0
0
2
2
2
2
2
2
4
0
8
0
0
0
16
2
8
8
16
4
4
16
16
20
4
4
8
8
8
8
12
4
4
8
8
0
16
16
16
2
0
16
16
0
8
2
4
4
0
0
20
0
0
4
0
4
4
4
4
4
4
0
0
16
12
12
12
12
8
8
8
0
0
4
4
1
1
24
24
24
2
2
16
8
2
2
25
1
1
8
8
8
8
8
16
8
8
8
8
8
0
0
0
0
9
9
9
9
9
4
16
16
16
16
16
0
0
4
4
4
0
4
4
24
16
0
8
8
16
8
0
0
0
8
8
16
16
4
16
16
16
16
16
16
16
4
4
4
4
6
0
0
8
10
16
8
16
8
8
8
16
16
2
8
8
8
8
12
0
1
1
4
16
1
1
1
1
8
8
8
8
16
8
8
8
8
4
8
0
0
0
28
0
8
0
0
0
0
8
8
8
0
8
8
8
8
0
0
0
0
16
18
8
8
8
8
8
8
8
8
9
9
8
8
8
9
9
9
9
8
8
16
16
4
32
32
32
0
0
0
0
48
16
16
4
4
16
16
16
16
0
4
4
0
0
0
0
1
1
0
4
4
4
4
4
4
0
0
0
40
32
16
0
0
5
0
8
8
8
8
8
8
8
0
0
0
8
8
8
0
0
16
16
16
0
0
1
0
8
8
8
16
0
0
0
0
0
0
16
16
8
16
0
16
16
1
32
8
1
1
1
0
0
4
4
4
8
8
8
8
1
1
1
0
16
16
16
8
8
16
0
0
0
2
2
2
2
2
0
0
0
0
16
4
4
2
2
8
8
4
4
0
0
0
0
0
8
24
24
24
24
24
0
0
0
0
8
16
16
16
16
16
8
1
1
1
4
0
1
1
1
2
12
12
12
16
16
16
16
16
18
16
0
0
0
0
32
32
8
8
16
16
16
16
8
0
0
0
0
8
0
0
0
0
18
18
20
16
16
16
16
16
0
20
46
0
2
2
16
33
1
1
8
8
8
8
8
8
0
0
0
0
2
3
3
16
0
0
0
0
26
17
8
8
24
2
2
2
1
0
16
16
16
0
1
8
4
4
4
4
0
0
0
4
4
4
16
27
27
8
0
12
8
8
8
0
8
8
8
0
0
0
0
8
8
8
16
8
16
16
16
16
0
0
2
2
0
0
0
0
0
0
6
6
0
8
16
8
8
4
4
0
32
32
16
16
8
8
8
8
0
0
0
0
26
26
8
8
0
16
8
8
8
8
8
8
8
8
8
8
0
17
17
0
8
0
0
16
16
8
2
2
0
1
1
4
4
0
8
8
0
0
0
0
0
0
0
0
16
16
16
0
0
16
16
8
8
8
8
16
16
16
16
16
2
0
1
12
0
0
0
4
4
8
8
0
0
0
6
2
0
0
0
0
0
0
0
16
16
12
8
0
22
0
8
8
16
16
16
0
8
8
24
32
0
8
16
16
16
16
16
0
24
5
5
16
16
48
48
48
0
0
0
0
0
0
32
0
0
24
0
8
16
16
8
8
0
0
0
16
0
0
8
16
0
8
8
0
0
0
0
0
0
0
0
8
0
0
0
16
2
0
16
16
16
8
8
0
0
0
8
8
8
8
8
1
16
16
16
2
32
32
32
16
16
0
16
16
0
0
0
8
4
62
62
16
0
32
33
0
8
8
0
1
1
16
1
0
0
0
0
33
0
0
0
24
24
24
8
8
8
8
8
8
8
8
8
28
4
4
8
8
0
0
2
2
2
20
0
0
8
8
8
8
1
8
6
4
8
8
8
8
8
8
2
0
0
9
24
8
0
0
0
0
8
8
8
0
1
1
1
4
8
8
8
1
1
1
1
1
8
16
24
4
18
16
16
16
16
16
16
0
8
1
16
4
4
4
4
4
4
4
24
24
24
24
24
24
24
24
8
8
8
8
0
0
0
1
1
1
16
16
16
0
2
25
25
4
8
0
0
0
0
0
2
8
8
0
16
0
0
0
0
0
0
24
24
24
8
8
8
8
8
8
8
2
2
8
4
4
16
24
0
0
0
0
4
4
0
0
16
16
12
16
32
32
1
1
1
2
16
0
0
8
8
32
0
0
24
0
8
8
8
0
0
16
16
0
0
0
0
0
0
1
1
8
9
8
8
8
8
8
0
2
0
8
32
32
32
32
0
34
34
1
1
2
2
2
2
2
2
16
4
20
4
0
0
16
16
16
16
16
16
8
16
4
4
4
8
8
8
16
0
0
16
32
8
32
8
0
0
16
16
16
16
40
40
40
8
4
4
4
4
0
0
0
8
6
6
6
6
16
16
1
16
16
0
4
16
16
16
16
16
24
16
8
16
16
0
0
0
0
8
8
0
0
0
16
8
8
16
0
8
4
4
4
4
16
16
16
16
1
0
2
2
8
0
0
0
28
16
16
16
8
9
9
16
8
8
8
8
0
0
0
2
2
2
16
16
0
2
12
0
0
12
8
2
2
2
2
2
2
2
2
2
2
0
0
20
0
0
0
0
0
0
32
17
0
53
0
24
24
24
8
8
8
17
0
4
4
1
8
1
0
0
0
0
16
8
16
8
8
8
8
8
8
4
4
4
0
16
16
0
0
0
0
0
0
8
8
8
17
0
0
0
8
8
8
8
8
0
0
1
1
1
0
0
0
0
16
8
4
8
8
8
0
0
0
0
0
0
0
0
16
16
16
16
16
0
0
0
8
8
16
24
24
5
16
0
0
8
8
16
16
4
4
0
0
24
24
24
24
8
32
2
0
0
0
0
0
0
1
24
1
1
4
8
16
16
16
8
16
0
0
0
0
16
8
8
1
1
1
1
1
16
16
16
0
18
8
8
8
8
8
8
8
8
0
4
0
0
0
0
0
16
48
16
5
4
16
0
16
0
0
0
0
0
0
0
0
0
32
32
1
0
0
0
16
1
17
17
33
33
1
1
8
22
0
12
12
12
4
5
16
16
8
17
17
17
17
17
8
16
16
16
16
16
4
0
24
0
0
0
0
0
0
0
8
8
8
8
0
0
16
8
0
4
8
0
0
0
0
0
2
0
16
16
0
0
0
0
0
0
0
0
4
8
8
8
8
0
0
0
0
0
0
0
8
8
8
8
8
50
50
50
50
0
4
4
4
0
0
0
9
2
2
8
0
4
16
16
16
16
16
8
8
8
8
8
8
0
0
0
0
8
0
0
0
16
16
16
32
0
2
0
0
0
0
0
0
9
9
0
1
1
1
1
1
8
8
0
0
0
0
6
2
2
4
8
16
16
0
4
4
8
8
8
1
1
1
1
1
1
1
1
0
24
4
1
1
1
2
1
4
0
3
3
3
16
16
16
0
16
17
0
0
40
40
40
35
35
35
35
35
8
8
8
4
12
16
4
16
2
2
2
2
2
0
0
32
16
16
16
0
0
0
0
0
0
0
0
2
2
2
32
2
0
0
0
2
16
0
0
0
0
2
0
0
0
0
0
16
4
0
16
16
32
8
16
0
0
0
0
0
0
0
0
0
16
16
4
4
4
3
2
0
0
0
16
16
8
8
8
8
8
8
4
4
0
1
1
1
33
8
8
8
8
1
1
1
8
8
8
33
33
33
33
0
57
57
4
8
4
8
8
8
8
0
9
9
9
9
0
4
4
4
4
8
8
8
8
8
4
4
8
8
0
8
8
8
8
8
8
0
0
0
0
8
8
8
8
2
2
24
16
16
0
8
0
0
1
4
4
4
4
0
8
8
32
8
2
2
4
4
8
8
8
0
8
8
8
1
1
1
8
8
8
0
0
0
4
16
16
16
2
4
4
4
0
16
8
0
8
16
16
16
16
16
16
1
1
2
2
16
8
24
8
16
24
0
0
0
0
24
24
24
8
22
22
22
22
0
24
24
9
9
8
8
8
8
0
0
0
0
16
8
4
4
7
7
0
8
8
8
8
8
0
0
16
16
16
16
16
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
0
8
8
2
2
0
0
8
8
8
16
32
0
1
1
3
3
16
0
0
8
1
1
4
16
0
0
16
16
16
16
16
16
16
8
8
8
8
8
8
0
0
0
0
0
16
2
2
16
0
0
2
2
0
0
0
12
8
8
8
8
8
24
8
16
0
48
8
1
1
1
16
8
8
8
8
4
8
8
0
0
0
0
0
0
0
0
0
0
0
4
40
8
8
2
8
8
16
16
0
8
8
0
8
8
16
32
32
32
32
32
24
0
2
2
16
16
1
1
0
0
0
8
8
0
8
8
0
0
0
8
32
1
0
18
8
0
8
8
16
16
8
8
8
0
0
0
24
24
32
32
16
2
2
2
2
2
0
8
16
0
16
16
8
1
24
24
24
1
16
16
8
16
0
0
4
4
4
4
0
0
16
40
40
0
0
8
16
16
16
8
0
8
0
0
0
0
0
0
0
0
0
0
0
0
8
0
16
16
32
0
8
8
8
4
4
0
0
0
18
16
16
0
0
8
2
2
32
2
2
40
8
8
8
16
16
16
16
8
8
0
0
0
0
1
0
0
0
0
0
0
24
4
4
8
1
1
1
8
8
0
8
24
24
24
0
0
0
0
0
45
8
8
1
0
0
16
24
0
0
0
0
8
8
8
0
1
1
8
8
8
24
0
8
8
4
2
0
0
0
2
0
0
16
16
16
16
8
4
4
40
0
0
4
16
16
0
8
8
8
8
0
16
16
4
4
0
0
0
2
1
16
16
16
0
52
0
0
12
12
0
0
16
16
0
8
8
8
8
1
16
16
24
8
17
17
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
16
16
6
6
6
6
16
0
8
8
8
8
0
16
16
8
8
8
8
8
8
4
1
1
8
8
8
2
16
4
5
5
8
0
0
0
1
2
16
1
4
8
8
8
8
8
8
0
1
1
1
0
0
16
0
8
8
0
0
0
0
16
24
0
0
8
0
16
16
16
16
8
0
4
16
0
0
0
18
24
24
2
2
1
1
1
1
0
2
0
8
8
8
0
0
8
8
8
0
0
8
16
16
16
4
1
1
1
1
1
8
8
8
8
8
8
8
8
8
0
2
2
2
2
2
8
8
4
4
4
16
0
0
0
0
0
0
36
0
0
1
0
0
0
0
16
8
8
8
0
0
0
32
8
8
8
12
8
8
8
0
8
8
8
8
24
24
13
8
8
0
21
21
8
8
8
1
1
1
0
0
0
0
4
4
8
8
16
16
16
0
0
0
8
8
8
8
16
16
16
20
8
8
16
0
0
16
8
2
2
2
2
2
2
16
8
0
1
1
1
0
0
0
8
2
2
2
0
0
0
0
0
8
0
8
8
8
0
16
16
16
16
16
16
1
1
32
32
8
8
8
26
26
24
16
0
8
8
8
8
8
8
4
32
4
4
4
8
14
14
14
20
16
0
8
6
6
0
0
0
0
0
0
4
4
4
16
16
1
0
24
8
0
0
8
16
0
0
0
0
0
0
8
0
0
16
16
16
0
0
0
0
0
0
16
0
0
0
0
16
16
16
8
13
13
8
2
12
0
0
0
0
0
0
0
16
16
8
0
0
0
4
8
8
8
4
16
16
16
16
16
16
16
4
2
2
2
8
8
1
0
0
0
8
1
8
0
4
4
4
8
0
0
0
8
8
8
8
8
8
0
0
0
8
4
8
8
0
0
1
1
0
0
8
8
16
16
0
16
1
1
0
8
8
8
0
4
4
32
8
4
4
0
0
8
8
8
0
16
16
0
0
16
16
16
16
1
1
1
1
1
0
0
1
5
16
16
0
0
1
1
1
16
0
0
0
0
0
0
0
0
0
8
16
8
8
8
0
8
8
8
8
8
0
0
0
2
8
8
32
32
32
0
24
24
0
0
0
13
13
13
0
8
0
8
0
8
0
16
0
0
0
16
0
0
16
8
8
8
0
0
0
2
0
8
8
2
16
32
8
0
0
0
8
16
16
16
0
6
0
0
0
0
1
26
0
16
16
0
48
0
16
0
2
0
0
0
9
9
2
2
2
2
2
16
16
16
32
32
0
0
0
32
32
32
4
1
0
0
0
8
24
8
8
0
0
0
0
8
16
16
16
4
4
4
16
16
16
8
16
8
0
0
2
2
2
0
0
0
0
0
0
0
1
1
8
16
0
0
8
8
8
8
8
1
8
0
8
8
41
41
41
0
0
8
8
8
12
8
16
16
16
14
14
16
25
13
13
0
0
28
1
1
1
24
0
0
16
16
16
0
0
0
0
1
1
1
0
8
8
8
8
8
1
1
1
16
8
8
8
16
8
8
4
8
0
0
0
0
16
16
16
16
16
4
4
0
0
0
0
8
8
8
40
32
0
8
0
0
0
0
0
0
0
32
32
32
32
8
8
8
2
0
0
0
0
0
12
0
0
16
16
24
16
16
16
16
16
16
16
10
0
16
16
16
16
28
28
0
0
0
8
8
16
16
8
0
0
3
16
16
11
9
16
16
16
16
16
16
16
1
0
24
8
2
17
0
0
0
0
8
8
8
0
0
0
14
0
8
8
8
8
0
1
0
0
16
16
16
0
0
0
0
8
8
0
0
0
1
8
16
16
16
0
16
16
0
0
2
10
8
0
1
1
0
0
0
8
8
0
0
0
16
16
0
16
16
16
0
0
0
0
0
0
0
0
0
16
16
32
0
0
9
9
9
9
9
9
9
9
9
9
8
16
16
16
0
32
0
0
16
16
0
0
0
0
8
16
1
1
1
0
4
22
20
20
0
24
8
8
4
56
56
6
4
0
0
16
8
8
0
8
0
0
0
0
2
8
16
25
0
0
0
1
1
4
4
6
1
1
0
0
8
8
20
4
4
4
0
1
8
8
8
0
0
16
16
8
16
16
0
0
0
16
1
0
0
0
0
0
25
25
0
0
0
24
4
16
1
8
8
8
0
41
8
8
4
0
0
8
8
0
1
1
1
1
0
8
8
8
8
28
0
0
0
0
0
1
1
1
1
1
8
16
4
4
4
4
2
2
8
8
8
4
8
8
8
16
1
8
0
0
48
48
48
16
16
8
8
0
8
6
6
8
4
4
4
4
1
1
1
8
8
16
16
16
16
16
16
16
8
16
0
16
16
0
0
32
8
8
0
0
8
0
16
0
0
0
0
0
8
0
0
0
0
0
0
8
0
16
0
0
0
8
16
16
8
8
16
16
16
8
2
0
0
22
22
8
8
8
8
8
0
8
16
16
0
16
9
4
8
0
40
2
2
1
1
1
0
2
1
8
8
8
25
25
1
0
0
0
0
0
16
16
16
4
4
0
0
8
8
8
0
4
4
4
8
32
32
33
33
32
1
33
0
0
0
0
16
0
0
8
8
2
8
16
16
0
2
2
8
4
4
8
4
4
4
1
0
0
9
8
8
8
8
8
4
0
8
8
8
8
16
0
0
1
1
1
1
0
0
0
4
1
16
0
8
16
16
16
16
16
0
0
0
0
0
16
0
16
16
8
0
0
0
2
2
1
1
0
0
1
8
16
16
2
2
2
0
0
16
16
4
8
8
16
4
4
8
8
12
12
8
8
8
0
0
8
8
8
8
0
6
6
8
8
2
2
2
32
0
0
0
0
8
16
8
8
8
8
8
8
8
8
8
16
0
8
8
0
0
0
0
0
0
40
0
0
0
1
4
1
0
26
8
16
0
0
0
0
0
0
2
16
4
4
4
4
8
8
8
8
8
8
32
32
9
24
16
0
0
0
8
4
4
4
0
0
0
6
2
2
2
2
0
0
0
0
8
16
16
0
6
6
6
1
1
0
0
0
0
32
0
0
4
4
4
4
1
0
0
0
0
16
16
16
16
10
16
16
16
16
0
0
4
16
16
8
8
16
16
16
0
2
2
0
0
0
0
0
0
32
8
8
4
8
0
0
0
0
0
2
16
16
8
8
26
26
26
26
26
26
26
24
2
2
8
16
56
0
1
0
0
0
0
1
1
8
8
8
8
8
20
16
16
8
0
0
8
2
2
2
0
8
14
14
14
8
8
8
8
16
0
0
0
8
16
16
0
0
8
8
8
8
16
16
16
16
16
16
10
10
10
10
24
8
8
8
0
0
0
0
0
16
4
20
20
20
20
8
8
8
32
4
4
8
0
0
0
16
4
4
8
8
16
2
2
32
0
8
2
0
0
16
32
32
32
32
32
32
32
0
0
16
16
8
1
1
1
0
0
0
8
8
0
24
24
24
24
8
8
8
8
8
8
6
6
8
4
0
8
8
16
16
4
16
16
1
1
8
8
8
8
0
0
0
0
0
0
8
8
0
2
2
2
16
8
2
8
8
8
16
2
0
0
1
0
0
0
0
8
8
8
8
8
8
8
8
4
4
4
8
8
0
24
0
16
0
0
0
0
16
0
0
16
16
16
0
0
0
0
0
8
0
0
2
2
16
16
16
16
2
2
2
2
0
0
0
8
8
16
16
16
16
8
0
8
8
2
2
0
0
16
16
0
0
0
0
16
16
16
16
8
8
8
8
8
8
0
0
22
22
22
8
17
17
16
16
16
14
14
0
0
8
32
32
32
8
1
0
0
16
16
24
24
24
16
16
16
2
2
16
16
16
0
0
16
16
16
0
8
0
0
0
0
0
0
0
14
8
8
8
0
0
45
45
0
57
0
0
0
0
0
0
0
0
0
0
8
4
16
4
4
2
0
1
1
1
0
0
0
0
0
16
16
0
0
0
0
0
0
4
4
4
4
0
0
9
9
16
16
16
16
8
16
8
8
0
1
1
24
24
12
16
16
16
16
16
32
8
8
8
8
8
18
18
0
0
0
16
16
0
0
8
0
1
1
1
8
8
4
0
0
0
2
2
2
24
16
8
16
16
16
0
0
0
0
8
0
0
17
16
8
4
4
4
16
0
8
8
0
0
0
0
0
0
0
0
16
16
16
2
2
16
0
20
20
0
0
16
0
8
1
1
1
1
4
16
16
16
0
0
0
0
0
0
0
8
2
2
8
8
0
8
0
0
0
0
0
0
0
2
0
0
0
12
12
32
32
16
16
4
32
32
8
2
20
20
20
8
0
16
16
16
16
16
0
0
0
0
16
16
16
16
8
0
0
0
8
1
1
1
1
0
0
1
1
1
0
0
1
1
1
1
1
1
1
0
0
0
8
8
16
16
16
16
16
9
9
9
9
8
0
2
0
0
16
16
16
16
0
5
16
5
5
2
16
1
16
16
8
8
0
0
1
1
8
16
16
16
16
16
16
9
1
0
2
0
0
1
16
16
11
0
16
16
0
1
8
16
16
16
4
20
20
32
20
20
4
4
0
8
8
16
16
16
0
0
0
0
0
0
40
4
4
1
1
8
16
16
16
0
16
16
16
16
16
0
0
0
8
4
4
2
2
8
8
0
0
0
16
8
8
8
24
24
24
2
0
0
16
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
0
16
16
16
18
2
2
0
0
33
0
16
16
0
16
16
16
16
16
0
20
0
16
0
0
18
18
0
0
0
0
2
24
8
8
2
2
8
0
8
14
14
0
0
0
16
0
0
0
0
0
0
0
4
0
8
8
33
2
20
20
1
1
1
1
0
0
0
0
0
4
4
4
4
16
16
16
16
16
0
0
0
0
16
16
16
16
0
16
1
1
16
8
0
8
4
1
0
0
21
0
0
17
17
0
0
2
0
0
0
8
8
0
0
0
0
1
1
8
0
0
4
4
1
1
0
0
0
8
40
40
40
0
0
0
16
16
8
0
0
0
0
0
8
8
8
8
8
8
2
2
2
0
28
28
28
28
28
40
40
8
16
16
16
4
2
8
8
8
8
2
2
0
6
0
0
0
22
6
6
8
8
0
0
24
24
0
16
16
0
16
0
0
16
16
8
0
0
16
16
0
0
17
17
0
8
8
16
16
16
8
8
8
18
2
0
0
24
8
0
8
8
9
1
8
0
0
0
0
0
0
24
2
0
8
8
8
0
0
8
8
0
0
0
16
4
12
8
8
8
16
0
2
2
2
16
16
16
16
8
8
0
0
8
8
8
8
8
4
4
4
24
16
0
0
0
8
8
8
0
16
8
8
8
8
0
0
48
2
0
0
8
16
0
0
16
8
8
8
8
8
8
8
8
0
0
0
0
16
0
0
24
8
2
2
0
8
0
8
8
8
16
16
16
16
16
16
0
0
8
0
0
2
0
0
0
8
8
8
8
8
1
16
0
16
8
8
8
17
0
8
8
8
8
8
16
0
0
1
2
0
2
1
1
8
2
1
1
1
1
8
8
0
0
0
16
6
16
16
0
0
0
0
2
2
2
2
8
8
16
0
0
0
0
0
28
16
1
0
0
1
1
8
0
0
0
8
48
48
0
0
32
8
8
8
4
0
0
25
25
16
0
0
2
8
8
0
10
10
10
10
10
10
10
10
10
10
17
17
2
2
8
8
8
0
0
0
0
0
0
2
8
8
8
8
0
8
8
8
8
8
8
8
8
8
0
8
8
8
4
4
0
8
16
0
16
16
16
2
2
2
2
2
2
2
2
2
2
2
2
2
2
48
16
20
20
20
16
16
16
8
8
8
8
8
8
8
0
1
1
1
1
1
1
1
0
0
24
8
8
2
0
16
0
16
16
16
0
16
0
0
0
9
8
8
0
0
0
8
8
16
16
0
0
0
0
0
0
0
0
4
2
16
0
4
16
0
0
0
0
0
0
2
8
8
0
0
16
0
12
12
0
0
0
0
0
0
24
24
24
24
24
24
8
16
16
16
6
16
8
1
20
0
0
1
1
1
16
16
2
26
2
0
0
0
0
12
6
6
4
8
0
4
4
4
8
8
8
8
8
8
8
10
8
8
8
1
16
16
16
16
8
0
8
16
8
8
1
1
1
8
4
32
32
32
8
1
8
8
0
0
0
0
18
2
12
4
4
0
16
8
2
32
1
1
1
16
0
0
0
0
8
8
8
8
0
8
8
8
8
8
8
8
8
0
0
0
0
0
8
8
8
8
8
8
48
0
0
0
8
8
24
0
0
0
0
0
4
2
2
2
26
0
8
8
8
8
0
16
16
1
1
0
8
32
0
0
0
8
34
0
0
0
0
0
1
1
1
8
8
8
24
32
8
0
0
0
1
1
18
18
18
18
0
32
32
1
4
1
1
1
1
0
0
8
8
8
8
8
8
8
8
0
0
0
0
0
0
0
0
0
8
8
2
2
8
49
49
8
16
16
16
16
16
16
16
16
16
0
0
16
0
0
0
16
16
16
8
20
20
0
8
24
8
8
8
8
8
0
2
0
16
16
16
9
9
9
0
0
2
16
16
4
10
2
24
24
24
12
4
4
40
40
40
44
40
8
8
8
8
8
8
8
8
12
8
0
0
16
16
16
16
16
16
8
1
1
1
1
1
0
8
8
8
8
8
8
8
8
1
1
1
2
2
8
8
8
4
4
2
2
16
16
0
0
8
8
0
0
0
0
4
4
0
0
32
0
0
42
42
8
8
8
16
24
24
8
1
1
0
8
8
16
16
0
0
0
0
0
0
0
0
0
8
8
0
0
0
4
16
16
6
16
12
18
24
8
24
0
32
8
8
8
8
0
16
16
16
16
0
0
2
2
2
32
3
8
8
16
16
24
24
8
18
32
32
32
8
0
20
16
16
2
0
0
0
4
24
8
0
0
8
8
1
1
1
33
33
1
1
8
8
8
16
0
60
12
0
0
24
24
8
8
24
16
24
24
0
0
0
0
1
8
32
0
16
20
20
20
0
0
0
0
0
0
8
8
16
8
8
16
8
4
2
2
22
2
2
2
8
8
0
0
16
8
18
1
1
8
8
16
16
0
0
16
16
16
16
16
8
4
4
18
16
18
2
8
8
0
0
16
16
20
8
1
16
16
16
16
16
2
2
2
1
16
16
16
16
0
0
0
0
0
2
16
16
16
16
25
25
25
8
8
0
16
16
8
8
8
32
32
32
16
16
0
8
8
8
0
0
0
0
16
18
18
8
25
0
0
0
8
8
2
0
0
0
9
9
9
8
8
8
8
8
8
2
2
11
8
8
8
32
33
33
33
0
0
0
0
0
0
0
0
24
16
16
16
0
16
16
16
1
8
16
16
0
0
0
4
16
0
17
8
8
8
0
0
0
0
16
0
0
0
0
0
0
0
1
1
1
1
1
0
0
0
0
0
8
8
8
8
8
8
8
0
8
8
8
0
8
8
8
8
3
3
0
16
24
8
0
0
0
0
0
0
8
8
8
8
1
1
1
1
16
16
16
16
16
1
8
1
2
2
0
0
33
0
8
16
1
1
1
8
8
8
4
8
8
17
17
17
17
17
0
0
0
0
0
0
45
45
0
8
8
8
16
16
1
1
1
0
32
0
8
8
16
16
0
0
0
0
8
8
8
8
0
0
0
8
8
8
9
0
0
8
8
0
0
8
16
8
8
8
0
0
0
0
0
0
8
8
8
16
0
0
0
0
0
0
0
0
0
0
0
32
16
16
8
8
8
8
8
8
8
1
1
1
1
0
0
0
0
0
0
0
4
0
27
0
8
8
16
16
16
0
0
0
0
0
24
28
24
24
1
8
8
0
0
0
1
25
4
0
0
0
0
16
16
16
16
0
0
0
0
0
6
6
0
0
16
0
0
8
8
25
16
1
1
0
4
0
0
28
28
28
8
8
0
0
0
0
16
0
0
42
8
8
32
32
32
32
0
8
8
13
0
0
4
4
0
8
16
16
0
8
2
16
32
32
8
8
0
18
18
0
0
0
0
0
0
8
0
0
4
0
8
0
8
8
8
25
25
32
16
16
4
4
4
16
16
16
0
16
16
0
0
0
0
0
0
16
0
0
0
8
3
3
3
3
8
12
8
8
8
8
8
4
4
0
0
16
8
24
26
2
10
2
16
16
8
0
0
16
16
1
0
0
0
0
1
1
16
0
24
49
1
1
1
40
24
0
33
2
8
8
16
1
0
2
8
8
2
8
8
8
0
16
17
17
17
0
0
4
4
16
16
2
28
0
1
12
16
16
16
4
4
4
0
2
2
16
16
16
16
8
8
0
8
8
0
0
32
32
32
32
32
8
7
7
7
8
8
4
4
4
0
8
26
10
2
8
8
8
8
8
24
24
24
24
24
0
0
8
0
0
0
0
0
8
8
4
4
4
0
8
8
8
8
0
19
1
8
8
0
12
12
12
8
32
32
8
16
8
8
8
0
16
8
8
0
8
0
0
16
14
0
0
0
0
0
0
8
0
16
16
16
16
16
0
0
0
17
16
16
16
16
2
8
1
4
4
4
8
16
8
8
0
8
8
8
4
8
8
0
0
0
0
8
0
8
8
8
1
1
2
8
8
8
16
16
4
4
8
8
0
8
0
8
8
0
0
1
0
0
0
4
4
4
8
17
0
1
1
1
0
0
4
4
0
8
8
8
8
8
8
0
0
0
4
2
2
1
1
1
8
16
2
2
0
0
0
0
16
16
36
36
0
0
16
16
16
4
4
4
0
0
0
0
0
0
8
8
0
8
8
8
8
40
40
40
8
4
18
18
4
8
4
4
0
0
0
16
4
4
4
4
4
4
16
16
16
16
8
0
0
12
8
2
2
24
24
8
8
0
16
16
16
8
0
0
8
8
0
0
1
1
1
8
8
8
8
8
8
9
4
0
2
2
0
0
0
3
0
1
1
1
1
8
16
16
16
16
16
24
24
24
24
24
0
0
8
8
8
0
0
0
8
0
1
1
0
10
10
10
10
0
0
0
8
8
8
16
16
33
32
32
1
8
8
8
8
0
0
0
0
16
0
0
16
16
16
16
0
16
16
16
8
8
8
0
32
0
0
17
17
17
1
1
1
16
1
0
16
16
16
4
4
0
16
16
8
8
40
40
40
0
10
10
0
0
0
32
32
16
16
35
35
35
35
2
2
2
2
0
16
8
18
16
16
8
8
8
24
24
24
24
24
24
8
8
8
1
1
16
16
16
24
24
24
4
24
0
8
8
0
8
8
8
8
8
16
16
4
4
4
4
0
0
0
24
0
16
16
8
16
8
8
8
12
4
16
0
0
8
8
8
8
0
0
8
8
8
8
8
8
1
0
0
0
0
21
20
8
33
33
8
0
8
8
0
0
0
0
0
20
8
16
0
0
0
16
16
16
8
8
0
16
16
16
16
4
4
24
0
0
2
2
2
32
32
32
8
24
24
24
1
0
0
0
8
8
8
8
8
8
8
8
48
48
0
0
0
0
0
0
0
8
8
8
8
0
0
0
0
9
24
8
8
8
8
2
2
2
16
0
0
0
0
0
32
8
0
0
0
2
2
2
9
8
0
0
16
32
32
32
32
32
0
16
16
16
16
16
16
0
16
8
32
32
32
0
0
8
8
8
8
8
0
0
0
0
33
33
33
33
8
0
0
32
32
8
4
0
57
1
4
4
1
16
16
16
16
4
1
1
8
24
24
4
1
16
16
8
8
8
17
0
1
0
16
16
0
16
8
8
16
8
0
4
32
8
0
1
0
4
8
8
8
8
8
8
16
18
1
1
1
1
0
0
4
8
8
10
16
0
10
9
0
0
16
8
8
0
0
0
0
0
0
8
16
0
0
0
0
1
16
16
8
8
8
8
8
8
8
8
0
16
0
16
16
8
16
16
0
0
0
0
0
16
16
16
0
0
8
8
2
2
0
0
0
0
32
32
0
0
0
16
16
16
8
8
8
8
0
0
32
32
32
16
2
2
2
16
16
0
16
24
16
8
8
8
8
8
8
8
0
8
8
0
8
0
0
0
0
16
16
0
16
0
0
0
32
32
32
1
1
16
8
0
0
0
0
0
0
1
0
16
8
16
16
16
16
16
16
16
16
16
8
0
8
8
0
0
8
12
0
8
0
32
0
0
0
0
19
3
3
3
58
58
0
0
0
1
4
0
0
0
0
32
32
0
0
0
0
0
4
4
4
4
4
32
32
0
0
1
1
1
12
8
8
0
16
24
24
24
0
1
1
1
2
2
16
16
16
16
16
0
16
16
60
60
60
60
3
8
12
12
40
0
20
0
0
49
0
0
0
8
8
0
8
8
8
16
16
16
1
0
0
0
0
8
8
8
8
8
8
8
8
8
8
0
2
8
8
8
0
0
0
0
0
0
0
8
8
8
0
0
0
0
8
8
16
17
17
8
16
12
12
12
2
2
2
2
0
24
24
24
8
8
16
16
8
16
24
24
16
16
16
0
0
8
8
16
0
0
0
0
0
8
8
8
1
1
8
8
8
8
16
0
0
0
2
2
16
32
48
16
16
5
2
8
8
24
24
8
8
2
16
4
4
4
4
4
4
16
16
4
8
0
0
0
0
0
2
0
16
2
16
57
57
25
1
1
1
0
0
0
0
8
0
1
1
0
0
8
16
16
0
16
16
0
0
0
16
16
16
16
24
24
24
0
16
16
16
0
0
0
0
0
0
0
1
16
9
0
0
0
0
8
16
16
16
16
8
8
4
4
4
4
5
0
0
0
32
0
0
16
16
0
0
0
0
4
2
0
16
16
16
12
8
8
8
8
8
8
8
8
8
8
8
16
0
0
1
1
4
0
0
0
4
16
16
0
0
8
16
16
32
8
0
0
8
8
8
0
16
0
8
16
16
16
4
4
8
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
16
8
24
8
8
8
12
0
0
0
0
0
16
0
0
0
8
16
2
0
4
4
4
0
0
0
0
0
0
2
2
8
8
10
10
10
10
32
8
8
8
8
8
8
8
0
8
8
16
16
0
0
33
33
8
0
4
0
1
1
24
4
4
4
4
8
1
16
16
0
16
0
8
8
0
8
1
16
16
8
0
0
16
16
16
0
0
16
8
8
8
4
4
1
8
8
8
0
0
8
8
32
32
32
32
16
16
22
16
16
16
16
0
8
0
0
0
8
8
8
16
8
8
16
8
8
8
8
0
0
0
0
0
0
0
4
4
8
8
0
0
0
0
0
0
0
0
0
2
48
48
1
1
8
16
0
1
32
32
32
0
0
0
0
0
0
8
8
32
0
0
8
8
8
8
8
8
8
0
0
0
0
0
32
32
8
0
0
0
16
16
4
4
8
12
12
12
12
0
0
8
0
0
16
16
16
8
16
8
8
8
8
8
16
16
2
2
2
6
6
8
24
24
24
24
16
8
8
8
8
8
8
8
16
16
0
0
8
8
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
12
0
8
0
0
0
0
16
1
12
0
2
8
8
0
0
0
8
8
8
8
8
0
16
16
16
16
16
16
8
8
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
4
4
4
4
1
8
1
8
0
0
16
16
32
32
8
8
32
0
8
8
1
1
20
0
0
16
16
16
9
4
34
8
16
16
16
16
32
0
40
48
32
8
0
18
8
5
16
18
8
4
2
0
0
16
4
1
1
1
1
1
1
1
9
9
9
8
8
12
32
16
4
4
4
0
1
8
8
0
0
0
0
1
1
0
0
2
0
0
16
16
16
0
16
16
0
0
0
0
8
8
8
8
8
8
4
4
28
0
0
2
1
8
0
8
5
0
0
0
0
16
16
16
4
32
32
32
32
0
0
8
16
8
8
16
0
0
4
4
4
4
1
16
0
0
0
0
30
2
44
44
0
0
16
32
32
8
0
0
16
0
8
8
8
2
0
1
16
16
0
8
0
33
0
0
16
16
8
8
2
2
2
2
2
2
2
8
8
8
16
16
0
16
16
8
8
8
0
0
0
0
0
0
32
32
32
32
20
20
20
16
16
16
16
0
20
24
0
0
0
0
0
0
16
16
16
8
16
8
1
1
8
16
16
16
1
0
0
16
16
16
16
16
4
4
33
0
24
16
0
0
10
8
8
8
8
24
16
1
0
3
3
16
17
17
0
16
16
16
16
8
8
8
8
8
8
8
8
8
8
16
16
18
8
16
16
16
0
18
2
0
0
2
2
2
2
2
2
2
0
0
0
16
4
0
8
8
8
8
8
0
0
0
0
0
0
1
1
1
1
1
1
8
16
16
0
8
8
8
12
8
0
0
4
4
4
8
8
8
8
26
26
26
8
4
4
4
32
32
32
0
8
8
8
8
8
8
16
0
16
16
16
16
16
16
16
0
16
16
4
8
0
0
0
4
4
4
32
32
0
4
4
4
0
0
8
0
0
0
1
16
16
16
16
16
24
24
0
0
8
29
4
4
4
0
0
0
8
8
8
16
8
16
0
2
16
16
0
4
4
4
0
0
24
3
3
0
0
0
2
2
2
2
8
8
32
24
0
8
20
20
20
20
16
16
16
16
16
16
8
8
17
0
0
2
0
0
8
8
0
16
16
8
8
8
8
0
32
4
0
16
0
0
0
8
0
24
0
0
16
16
2
2
8
0
9
8
0
0
0
24
0
8
16
16
16
4
48
28
0
0
0
16
16
16
16
16
16
16
16
18
41
40
40
40
16
16
16
16
16
8
4
16
16
16
48
1
0
0
16
16
0
1
8
8
8
8
8
8
8
8
8
8
8
2
0
8
8
0
0
0
0
16
16
16
16
9
9
9
8
8
8
8
8
8
8
8
8
0
0
16
0
24
8
5
5
40
0
0
0
0
0
0
0
4
16
16
16
16
16
4
4
0
0
0
2
2
2
8
8
2
0
0
8
0
16
16
28
28
8
8
8
8
6
8
8
0
16
16
16
8
8
48
0
4
4
2
8
4
4
4
0
32
32
32
2
2
0
4
16
16
8
8
8
8
8
16
16
16
16
2
16
4
0
8
32
41
20
16
0
16
0
8
32
0
4
4
0
0
2
2
16
1
16
8
0
8
0
8
8
8
1
9
8
8
8
0
0
32
32
1
0
0
0
24
0
0
0
0
8
16
16
0
0
8
8
8
4
1
1
1
2
0
8
4
4
16
16
8
8
8
0
4
4
8
0
0
8
8
8
4
16
16
0
16
8
16
1
1
1
0
0
0
0
0
0
8
8
0
0
0
0
0
0
8
8
8
8
0
0
0
0
8
8
8
8
16
0
0
0
0
0
0
0
0
4
4
4
4
8
8
8
4
4
8
8
0
8
8
28
28
28
8
16
16
8
8
8
8
8
8
0
0
0
0
0
8
8
0
4
0
0
16
32
32
32
0
0
0
8
16
16
16
16
16
16
16
8
0
16
16
16
16
16
16
0
0
0
1
1
1
1
16
16
16
16
16
16
16
8
0
0
0
2
2
2
48
2
0
9
0
16
16
16
0
0
24
24
24
0
0
0
0
4
4
8
24
0
9
8
16
16
24
24
24
0
8
24
0
8
8
8
8
8
8
18
18
18
18
16
8
8
8
8
8
16
16
8
8
8
32
32
32
16
1
2
0
1
0
2
1
17
8
16
16
16
16
16
6
6
8
8
0
8
4
4
4
16
16
16
16
16
8
0
0
8
8
0
0
0
0
0
8
16
0
0
0
0
16
16
16
16
16
0
0
0
1
0
0
8
8
32
0
16
1
2
0
0
0
0
0
32
32
32
32
32
24
24
24
24
0
1
9
4
4
0
8
8
8
8
8
0
27
0
0
0
0
0
0
0
0
24
1
1
1
8
16
0
0
8
33
8
16
8
8
8
8
8
0
0
0
16
16
16
16
16
16
16
0
8
8
8
16
8
0
0
16
16
17
0
0
5
0
0
0
0
0
8
1
1
1
1
1
1
0
0
8
8
8
8
0
16
16
1
1
1
0
0
0
0
0
8
4
4
4
8
8
8
16
16
16
16
0
0
4
4
4
4
16
16
16
16
0
8
8
0
0
16
0
0
0
0
1
1
1
0
41
41
41
41
8
0
8
8
8
8
8
16
16
18
0
8
8
8
8
8
3
3
8
8
4
4
0
20
16
1
16
8
8
24
24
8
8
28
28
28
4
4
4
4
8
1
1
1
8
16
16
8
8
16
16
16
41
41
41
8
8
8
17
25
0
16
8
0
4
24
24
24
0
2
2
8
0
0
2
0
0
16
16
2
2
2
2
1
1
48
48
0
8
8
16
0
42
8
0
1
0
0
0
8
8
8
8
8
8
8
8
0
0
0
0
0
0
17
1
0
0
0
16
16
8
0
8
16
1
1
8
8
0
0
0
0
0
30
1
16
16
1
1
0
20
0
0
16
16
16
0
16
16
16
5
16
16
16
32
8
0
16
16
16
0
0
16
16
8
8
0
0
16
16
0
0
4
4
4
16
16
0
0
16
24
16
16
0
0
0
0
8
8
4
0
4
4
4
4
4
4
8
8
8
0
4
4
0
0
0
32
0
16
16
7
7
32
32
32
0
32
32
9
9
9
16
16
16
0
0
8
8
24
16
0
0
0
0
0
0
0
0
16
16
16
16
16
16
16
4
4
8
0
0
0
0
0
0
0
0
0
0
0
0
8
16
16
16
8
8
8
0
24
24
0
32
16
16
16
16
16
16
0
16
16
16
0
0
4
4
4
0
0
0
2
28
0
28
0
0
16
16
16
5
5
5
4
4
4
8
8
8
8
8
8
4
8
8
20
8
16
16
14
0
0
0
0
0
8
8
0
0
32
0
16
16
8
34
8
8
8
16
8
8
8
0
0
0
8
8
0
8
8
16
4
0
16
40
0
8
8
0
0
8
4
4
4
16
8
8
0
0
0
2
16
16
0
0
16
2
2
0
0
0
0
0
0
0
0
8
8
8
8
0
2
2
0
0
16
16
8
8
8
4
0
0
0
0
0
0
0
1
1
16
0
8
2
20
4
8
4
4
4
0
24
24
24
8
0
0
4
4
8
2
18
2
0
0
0
0
0
0
0
0
0
0
8
2
2
0
0
0
9
8
8
8
8
1
1
8
0
8
0
0
4
41
41
41
0
0
0
16
16
13
16
16
16
16
16
16
8
8
8
16
16
16
36
36
4
4
0
8
8
8
8
0
0
0
0
16
8
8
8
0
0
0
4
0
4
0
0
0
0
20
16
0
0
0
0
0
8
2
0
24
2
2
2
2
0
0
0
0
0
0
0
16
1
0
4
1
0
48
48
16
5
0
0
0
0
41
8
8
8
8
3
8
8
16
16
4
4
1
0
0
0
8
8
8
8
16
16
16
16
8
8
8
32
16
16
16
16
0
0
0
16
8
12
4
0
25
25
50
4
16
16
1
1
16
16
16
16
16
8
0
16
16
16
8
8
8
8
8
3
8
0
0
0
0
0
4
4
4
32
32
32
20
16
8
16
32
8
8
8
16
16
16
4
0
16
34
34
0
0
0
0
0
0
2
2
2
2
2
8
8
8
4
4
4
8
16
8
8
8
0
4
8
8
0
0
24
24
8
8
8
8
5
5
0
0
16
16
16
16
1
0
4
0
0
8
0
4
0
8
16
0
0
0
0
34
34
34
8
8
16
16
0
0
0
0
0
8
8
8
40
1
0
0
0
0
0
0
0
0
16
32
0
16
0
16
16
16
16
0
0
1
8
9
8
4
4
4
16
16
0
0
16
8
8
8
0
0
0
16
16
1
8
0
2
8
0
0
0
8
8
0
0
1
8
8
8
16
0
48
16
16
1
16
16
0
16
16
16
6
8
16
16
0
8
0
0
0
0
16
16
16
16
0
0
0
0
1
4
12
6
6
6
6
16
16
16
32
12
16
8
0
0
8
8
8
8
8
16
8
0
8
8
8
8
8
8
16
16
16
16
24
24
24
16
32
32
16
16
0
0
0
0
0
0
1
1
1
1
16
16
16
16
16
16
0
8
0
16
16
16
16
16
4
4
4
0
0
16
16
0
8
8
0
0
16
42
16
16
16
8
2
2
2
8
8
8
8
8
32
4
8
0
0
0
26
16
16
16
8
2
0
16
16
16
0
0
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
16
16
16
0
16
16
16
16
8
8
2
0
0
8
8
0
16
16
16
8
8
8
8
8
8
4
32
0
0
2
8
16
0
0
0
0
8
8
8
14
14
0
8
0
0
0
0
0
0
24
24
0
0
0
1
1
3
3
8
8
8
12
9
8
0
0
8
8
0
16
0
3
16
0
0
0
0
8
24
24
16
1
24
16
16
4
12
8
8
0
0
4
16
16
1
1
1
0
28
16
1
1
1
1
1
1
1
52
26
10
10
10
16
20
8
8
8
16
16
8
8
8
8
8
8
8
0
0
0
0
21
21
8
0
0
8
16
16
16
16
16
16
16
8
8
8
8
0
0
0
0
0
0
16
4
0
16
0
16
8
8
8
2
2
2
2
1
1
1
0
16
32
32
8
8
4
0
0
24
8
4
4
8
0
0
0
0
0
16
8
8
8
2
0
8
0
8
8
4
4
4
0
0
0
8
0
2
2
2
0
0
0
0
24
24
18
8
0
0
1
0
8
8
8
8
16
0
8
1
1
16
16
8
4
8
3
8
8
1
1
0
0
8
8
0
0
0
8
16
20
0
8
48
16
0
0
8
8
30
16
16
16
16
16
0
8
16
0
0
26
26
26
24
8
6
6
0
0
0
16
0
0
4
12
0
16
8
8
0
0
16
16
16
0
0
28
28
8
16
0
0
0
16
16
17
16
0
12
12
12
8
8
8
41
41
41
0
0
8
8
8
0
0
0
0
8
0
8
16
16
16
16
16
0
4
16
16
0
0
0
0
16
1
1
1
8
1
1
8
8
0
32
32
0
8
8
16
16
16
0
0
8
8
1
10
10
8
8
8
2
0
0
0
16
16
16
2
1
0
9
2
16
0
16
16
16
16
16
16
0
0
8
8
8
8
17
0
24
8
8
0
0
16
16
16
8
8
8
0
0
0
0
0
4
4
16
16
16
1
2
2
8
8
16
0
0
8
0
0
0
0
1
0
8
0
0
0
0
0
0
0
0
1
1
40
40
8
8
8
8
0
0
0
0
0
24
0
0
0
18
8
0
0
0
0
0
16
16
16
16
16
16
8
8
8
12
4
4
24
0
0
0
0
0
0
8
8
8
1
8
8
8
0
32
32
0
2
8
8
4
0
1
0
2
2
4
4
4
1
1
0
0
0
16
16
16
16
16
16
16
24
8
8
8
16
16
2
2
2
16
16
16
8
17
17
17
17
17
17
8
8
0
0
0
32
4
16
12
4
4
32
32
32
0
0
0
16
16
16
6
0
0
16
8
1
0
0
0
11
11
11
16
0
0
0
16
8
8
16
16
16
8
16
16
16
16
16
1
8
8
25
25
8
8
8
0
8
0
0
16
16
16
16
16
0
0
0
8
1
8
8
2
0
0
4
8
0
0
30
30
8
0
4
0
6
6
8
1
8
8
8
8
16
8
8
8
8
1
1
1
20
20
0
16
13
13
13
13
13
0
18
0
0
0
0
0
26
0
16
0
0
4
16
4
4
0
0
0
1
1
8
8
8
8
8
0
16
0
0
8
4
0
24
16
16
16
4
4
4
0
16
8
2
0
8
1
8
16
16
16
8
8
4
4
4
4
4
4
4
0
0
8
0
16
25
16
4
4
0
0
0
16
0
20
8
1
1
1
0
0
0
0
0
16
16
16
0
8
1
1
1
10
10
8
8
8
16
16
0
8
0
0
16
16
16
4
1
8
8
8
0
0
1
1
17
32
32
32
0
0
0
4
16
16
16
16
16
16
16
1
1
1
0
0
2
8
0
0
0
4
0
0
0
0
0
1
1
1
8
8
8
8
8
10
8
0
0
0
4
8
8
8
16
0
0
0
16
16
16
0
16
2
17
1
16
16
0
24
9
9
9
9
16
16
16
32
32
32
32
0
0
0
8
0
0
0
16
16
49
49
49
16
16
16
16
16
4
4
0
0
24
24
24
8
8
8
0
0
16
16
24
24
24
16
8
8
8
8
8
8
8
26
26
32
32
0
24
24
24
24
29
13
16
16
0
8
36
0
32
32
8
8
8
8
4
16
0
0
0
0
4
8
8
8
32
8
8
10
10
10
10
4
4
4
4
4
0
0
32
32
0
8
4
1
8
8
8
8
0
1
32
32
18
0
0
8
8
16
40
0
0
0
0
8
12
16
16
1
4
0
8
0
0
0
8
0
0
0
0
0
0
16
2
2
16
8
8
8
8
1
0
8
16
8
13
0
8
8
8
16
0
4
8
8
8
8
16
16
4
0
0
0
8
16
16
40
40
40
8
0
0
8
8
0
16
8
8
8
0
17
16
8
9
9
0
0
24
8
0
4
4
0
28
16
0
0
0
0
2
2
0
16
16
16
16
16
8
8
8
4
4
28
24
1
1
1
1
16
2
9
4
4
0
0
18
0
4
0
0
8
8
0
8
16
16
0
0
1
0
16
16
16
16
32
1
1
0
0
24
0
4
4
4
4
8
8
0
16
24
24
8
0
0
0
0
0
0
0
0
0
8
30
30
30
30
16
16
16
4
1
1
0
1
1
18
0
0
32
32
32
32
32
32
4
0
0
0
20
0
0
0
0
0
8
8
8
1
1
8
0
0
0
8
0
8
39
39
2
2
8
32
8
16
16
8
8
16
8
8
8
8
0
0
16
0
8
8
8
0
0
0
0
0
0
0
0
0
0
16
0
8
8
8
9
9
9
9
8
0
0
2
2
0
0
0
44
1
0
16
0
0
0
1
1
1
1
16
0
0
0
0
0
5
5
0
0
0
2
2
2
2
2
0
0
0
0
32
32
32
32
8
8
8
0
0
0
16
16
4
4
4
4
4
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
16
18
0
0
26
16
16
16
16
16
16
16
16
2
2
2
2
8
8
8
8
8
0
8
8
8
8
8
8
8
8
0
0
0
1
1
1
1
1
0
16
24
8
16
16
16
16
16
0
0
16
16
16
16
10
10
10
10
2
2
24
0
0
17
8
8
8
0
16
1
1
1
1
1
0
0
0
8
18
0
16
16
16
0
0
0
16
0
0
24
24
24
16
16
0
4
4
0
0
16
16
16
8
8
0
2
6
6
6
0
0
0
8
8
0
0
0
0
0
8
8
8
16
16
32
32
16
0
0
0
16
8
8
0
8
8
8
16
17
16
0
1
4
0
0
0
1
16
0
16
16
0
16
16
0
0
0
8
16
4
4
4
8
0
0
8
0
0
0
0
16
16
16
25
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
0
8
0
0
0
10
10
10
0
0
0
0
0
0
0
8
8
17
17
28
28
28
28
4
4
4
0
5
8
16
16
1
1
1
16
16
16
16
16
0
0
8
8
8
8
0
16
16
16
0
4
9
8
12
16
16
0
0
0
0
0
0
0
0
2
0
0
0
0
0
2
0
8
0
8
8
32
32
16
16
16
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
42
8
8
40
0
2
16
16
16
16
0
0
4
4
4
16
16
33
0
0
1
1
8
0
0
0
16
16
16
8
8
8
8
8
12
0
0
40
0
8
16
16
16
2
16
24
0
0
1
1
24
8
0
2
2
2
4
4
12
12
0
0
24
24
24
16
0
8
8
8
4
12
4
8
8
8
8
0
0
24
8
1
1
2
2
8
8
8
0
16
16
16
16
0
8
8
16
16
8
0
4
8
8
8
8
8
4
4
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
24
0
1
16
16
2
2
52
2
1
8
8
8
8
0
0
0
0
0
0
1
0
0
0
16
16
0
32
16
0
0
1
8
8
8
8
0
8
0
0
0
0
8
8
8
8
0
0
0
16
16
16
16
0
1
32
32
32
4
4
4
4
4
4
4
0
16
28
28
28
0
0
0
0
16
16
0
32
32
0
0
0
8
8
0
0
16
0
0
0
0
0
16
16
16
16
0
0
8
8
8
16
8
8
16
1
25
16
16
16
22
4
4
0
8
0
1
0
8
16
20
8
8
0
0
8
8
8
8
8
8
32
32
32
32
32
0
0
0
0
8
2
8
8
8
8
12
24
8
8
8
4
4
0
0
25
4
1
0
8
8
8
26
24
8
8
8
0
0
0
4
0
8
16
0
8
8
16
16
0
10
10
10
8
0
0
0
16
16
16
0
4
0
8
0
8
8
8
41
41
0
0
0
0
12
8
8
8
12
12
8
8
8
57
57
16
16
16
16
1
1
1
1
8
8
0
8
0
0
0
20
4
4
4
4
8
2
2
16
0
1
1
1
18
18
24
24
0
0
16
16
0
0
0
8
8
8
0
0
0
8
8
8
16
8
8
8
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
1
1
1
1
8
16
16
16
16
12
16
4
0
0
0
8
0
0
0
0
0
16
8
8
8
8
9
2
8
8
17
17
1
1
1
1
8
0
0
0
0
50
0
0
8
0
0
19
19
19
19
19
16
16
16
16
16
16
4
4
4
4
4
4
0
16
8
8
0
0
0
0
0
0
0
0
0
8
8
8
0
0
8
8
0
0
0
24
2
0
8
8
8
8
3
9
9
9
0
16
16
16
16
0
0
0
0
0
8
8
0
0
16
16
16
8
8
8
16
16
16
0
0
4
4
0
0
0
8
8
2
2
8
8
1
16
1
0
0
0
0
0
0
8
8
16
0
0
8
8
0
0
0
0
16
2
0
8
0
0
8
8
1
0
1
8
8
8
16
2
10
17
17
1
8
16
16
16
0
8
5
8
8
0
16
6
8
0
0
32
8
8
2
4
8
0
0
1
1
1
1
1
2
2
2
2
2
2
2
8
0
0
0
4
4
4
0
16
8
8
8
8
8
8
8
0
60
60
0
4
0
0
16
16
16
8
0
2
2
0
0
0
48
16
8
8
8
8
16
16
16
0
8
8
8
16
16
16
8
0
0
16
6
6
0
0
16
0
0
0
0
0
0
8
0
16
1
1
16
0
16
16
16
4
32
32
4
8
24
8
8
8
8
0
0
0
8
8
4
4
2
4
4
0
0
0
4
8
8
0
16
16
16
16
16
16
16
16
16
1
1
8
0
0
0
4
4
16
0
24
8
8
0
0
0
16
4
16
16
16
16
24
0
0
16
16
16
16
16
16
24
1
1
1
0
0
0
2
0
21
4
4
4
8
4
4
1
0
16
0
16
16
16
32
0
0
0
0
1
16
8
4
4
0
8
8
8
1
1
9
9
9
32
8
8
8
0
2
0
0
8
8
8
8
8
16
16
48
8
8
8
8
8
19
16
0
20
20
0
0
0
0
0
4
4
8
8
8
12
0
8
8
8
0
0
16
16
16
16
16
8
8
8
8
8
8
8
0
8
8
0
8
0
0
16
8
8
0
8
8
16
32
16
16
1
16
16
0
0
1
0
0
0
0
0
0
8
8
0
0
8
16
16
16
16
0
0
0
24
3
2
2
2
16
20
4
0
0
0
4
4
4
16
16
16
32
16
9
0
4
0
0
1
1
1
2
2
2
0
1
53
53
16
20
0
8
8
1
1
1
2
17
17
17
17
17
17
8
8
8
8
16
0
32
32
32
8
8
16
8
8
8
8
8
8
1
8
8
8
16
1
1
0
16
16
0
0
1
1
1
8
8
8
8
8
1
0
16
0
0
18
42
0
0
16
8
0
0
17
17
17
0
1
2
2
2
0
18
18
0
44
16
8
8
8
8
8
8
0
0
16
2
8
4
4
8
8
8
0
0
0
16
0
0
16
12
0
2
2
18
16
16
16
4
0
0
8
8
8
8
8
10
10
10
0
8
8
16
16
8
8
0
17
1
1
8
8
8
8
16
8
16
16
16
0
0
0
1
16
4
22
2
2
2
2
2
26
0
0
0
4
8
0
0
0
8
8
0
0
0
2
2
2
8
32
32
16
4
4
4
1
16
8
1
2
2
16
8
8
8
16
16
16
0
8
16
0
0
0
8
8
8
8
0
0
0
0
8
8
16
16
16
16
16
16
8
16
16
16
0
2
2
16
8
8
8
2
8
8
0
8
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
17
8
8
25
32
32
0
0
0
0
0
9
9
8
8
8
8
4
4
4
16
16
16
4
10
10
8
8
8
32
32
16
32
32
16
0
16
1
8
8
8
8
8
4
8
8
0
0
32
32
32
16
0
0
8
0
16
0
8
8
0
0
8
8
8
8
1
1
8
0
0
8
8
8
0
0
0
16
16
16
16
0
8
8
0
0
8
0
13
0
0
16
8
16
0
16
16
0
0
24
24
24
0
4
4
8
8
8
8
8
8
2
2
8
8
17
17
0
24
24
0
1
8
8
8
8
8
12
12
12
32
32
32
0
0
0
0
8
16
16
16
16
0
0
16
16
4
4
8
0
0
4
4
4
4
9
24
24
24
24
0
0
44
0
0
8
8
0
0
0
0
32
1
4
4
4
4
0
0
0
2
1
1
1
16
8
8
0
0
0
8
0
4
48
0
0
0
8
8
8
0
0
0
13
13
16
0
0
0
0
8
8
8
8
8
16
0
8
0
0
0
8
16
16
16
0
0
0
0
0
8
8
8
2
8
8
9
8
16
8
8
8
16
16
16
16
16
4
4
4
1
1
1
1
8
8
0
4
4
0
0
0
0
0
0
8
8
8
2
0
8
4
16
1
1
24
24
8
8
8
8
8
8
8
2
2
2
16
16
6
6
0
4
4
0
8
17
16
8
8
8
8
8
24
8
0
4
4
4
8
0
0
32
12
0
0
0
8
24
24
0
0
0
0
0
0
0
16
8
9
0
8
8
8
2
0
0
1
1
1
0
0
0
16
16
16
8
0
0
0
0
0
0
2
2
4
8
8
0
8
8
8
8
8
0
0
0
2
12
2
2
2
2
8
8
4
4
2
2
1
1
0
0
0
16
16
16
0
0
0
0
8
0
0
8
0
32
32
32
0
0
1
9
16
16
0
8
8
8
8
1
1
1
1
0
0
8
8
20
0
0
8
4
2
2
24
24
2
8
0
24
1
1
0
16
16
20
20
4
4
8
8
8
16
4
4
16
0
8
8
0
16
4
0
24
8
0
0
16
33
33
0
0
0
8
8
0
0
2
2
2
12
12
0
0
0
0
8
4
26
8
0
0
0
0
0
0
0
1
1
1
25
20
20
0
0
16
1
0
40
40
40
32
10
0
8
24
16
17
17
17
0
16
16
16
16
0
8
8
8
8
8
0
0
0
0
16
8
8
16
1
16
0
17
17
2
5
4
8
8
8
12
12
16
8
8
0
32
1
8
8
0
8
8
3
3
0
16
16
8
8
33
4
4
4
0
0
0
8
8
1
1
0
0
0
0
16
16
16
1
16
1
1
1
1
1
1
32
32
16
16
24
24
0
0
0
2
16
16
16
16
16
16
16
0
0
0
0
0
0
0
0
0
8
32
32
32
0
0
0
0
4
14
14
2
2
2
9
16
0
0
0
0
0
0
32
32
32
32
32
0
0
0
0
0
0
4
4
4
0
0
4
8
16
16
10
8
8
0
0
0
0
0
36
16
16
0
0
8
8
32
8
8
8
8
8
8
8
8
8
8
8
8
8
1
1
0
2
0
0
0
17
1
1
24
16
16
16
8
0
17
17
17
0
0
0
0
0
0
16
2
16
16
16
16
16
8
24
24
24
56
0
0
0
0
8
8
8
8
8
0
8
8
8
8
0
49
49
49
49
49
49
0
0
0
8
8
8
0
0
24
24
24
8
0
8
0
0
0
20
16
8
8
8
0
4
4
4
0
0
0
8
8
8
8
8
8
8
8
8
8
0
0
1
4
4
4
20
20
0
0
0
0
0
8
16
16
2
0
0
0
0
0
0
0
8
8
2
2
2
2
9
9
16
17
0
4
4
4
8
8
16
16
8
0
32
16
8
8
8
36
0
0
8
8
8
0
32
0
0
16
16
8
8
8
2
2
2
16
16
16
2
0
8
8
8
8
16
16
16
16
16
16
1
1
0
8
8
8
16
16
1
1
0
0
0
0
16
16
0
8
8
8
0
8
8
24
24
2
13
8
8
8
8
0
16
16
16
16
8
8
8
8
8
8
8
8
8
4
0
0
4
4
4
4
0
0
8
8
8
8
8
8
0
0
0
0
0
0
9
8
8
16
0
8
0
0
8
1
0
16
16
16
16
16
0
0
0
16
8
0
0
0
16
32
16
0
16
0
0
0
0
0
4
0
0
0
7
7
7
4
4
4
8
16
16
0
0
16
1
1
8
16
16
8
20
4
4
4
4
4
0
0
0
0
16
0
0
0
0
0
0
8
8
32
0
0
8
8
8
8
32
8
0
8
8
17
16
11
11
4
4
4
0
0
16
16
8
8
8
0
0
0
0
8
8
0
24
0
0
12
12
0
7
0
0
13
13
13
8
8
8
0
0
0
0
0
0
16
16
1
1
1
8
16
16
0
4
0
8
8
8
8
16
0
4
4
4
16
16
16
16
16
8
32
0
0
0
8
0
0
0
0
0
0
8
8
8
8
9
0
0
8
8
51
38
38
8
16
8
32
32
0
0
8
8
8
0
16
16
16
1
4
1
1
1
16
16
8
0
0
8
1
6
0
0
0
8
8
16
8
8
2
2
2
0
6
6
8
8
8
24
0
8
8
8
8
0
4
24
8
8
8
49
4
8
8
0
3
3
0
48
8
0
0
8
8
0
0
24
8
8
18
1
1
4
4
4
0
16
0
1
6
0
8
2
51
19
4
4
0
8
8
0
16
0
16
24
8
8
8
8
4
4
4
0
16
20
20
24
24
24
24
24
16
16
16
0
0
12
0
16
16
8
8
0
0
16
16
16
16
18
18
18
8
0
0
16
1
8
0
8
8
8
2
2
2
2
0
0
0
9
1
1
1
1
16
0
0
0
8
8
16
16
16
4
4
4
2
0
0
0
2
2
2
16
0
0
17
16
16
16
16
16
0
1
8
16
0
28
28
8
8
8
8
8
8
0
2
16
1
1
1
1
2
0
8
8
8
12
16
16
16
32
32
8
8
0
32
32
32
0
0
20
16
16
16
16
1
1
0
0
0
0
1
24
24
24
24
24
16
17
0
0
16
8
0
16
4
4
4
8
8
2
2
16
0
8
8
8
8
0
0
16
8
8
0
0
0
0
0
0
0
8
8
2
2
2
1
0
0
16
16
8
0
0
16
0
8
8
0
0
8
8
40
40
8
8
0
8
8
24
0
0
0
0
0
0
0
0
0
20
20
20
0
0
8
0
24
16
16
8
8
8
16
16
32
16
16
16
0
17
16
16
16
16
16
16
16
16
16
16
16
16
2
2
16
8
8
0
0
9
0
0
0
16
0
0
8
8
18
0
16
16
0
0
0
1
8
0
0
4
0
0
16
16
16
16
16
16
16
16
0
8
8
8
8
4
0
0
22
22
22
22
16
0
3
3
2
2
2
2
4
25
25
25
25
8
16
0
0
0
0
0
1
6
4
4
4
4
0
0
48
48
48
8
0
0
2
2
2
2
2
0
1
2
2
0
4
4
2
8
8
8
0
0
0
0
0
16
34
16
32
32
2
2
2
2
2
2
0
16
0
8
8
8
2
2
16
0
28
16
2
4
4
4
4
0
0
3
3
3
1
2
2
2
8
4
16
16
16
16
18
18
18
32
16
16
16
0
17
0
8
0
0
8
0
0
2
2
2
2
2
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
0
4
4
4
0
4
16
0
0
2
16
16
1
8
8
16
16
0
0
0
0
0
0
0
18
18
18
18
16
16
0
8
8
1
16
16
16
0
2
2
2
8
0
0
0
7
8
0
4
8
16
8
2
2
4
4
16
16
16
16
16
16
8
8
8
8
2
0
0
0
12
12
0
0
8
8
0
0
0
0
0
0
2
1
1
8
16
0
0
16
16
16
0
0
32
32
8
0
0
0
0
0
8
24
24
2
2
0
40
8
8
2
0
0
16
16
1
0
8
8
8
8
2
8
40
4
4
4
8
8
16
8
24
0
0
4
4
2
2
8
8
0
2
2
2
2
16
16
16
10
10
10
10
0
8
8
8
0
0
0
0
0
0
16
0
0
16
16
16
0
0
48
16
16
16
16
0
17
8
8
0
0
0
16
16
16
16
16
16
8
8
8
8
8
8
0
0
32
0
8
8
0
0
8
8
8
8
0
0
0
8
8
4
8
16
32
32
32
32
32
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
41
41
4
18
0
8
8
32
32
32
32
32
32
0
0
0
32
32
32
32
16
8
0
0
0
0
0
12
12
8
8
8
0
0
0
0
16
16
8
8
4
2
0
18
18
16
16
16
16
4
4
4
32
32
32
1
1
1
9
0
8
8
8
16
16
8
1
1
3
3
0
1
8
8
8
16
16
8
0
0
2
2
2
2
8
8
8
20
20
22
20
28
1
1
1
1
1
1
16
16
0
18
18
18
2
8
8
8
8
0
8
8
8
8
8
0
0
8
8
8
8
24
8
8
0
0
16
16
16
16
16
0
16
8
8
0
16
28
28
0
0
16
0
0
16
6
50
2
4
4
4
4
16
0
0
0
0
8
4
4
4
4
8
8
1
1
1
1
0
0
0
34
34
8
8
8
8
8
8
8
2
2
2
2
0
0
0
20
16
16
0
8
0
0
8
0
0
0
0
8
4
4
4
16
12
8
16
16
8
8
0
0
8
8
4
4
0
8
12
0
8
16
8
8
8
24
1
1
8
18
1
1
0
0
16
16
16
8
8
8
8
8
0
0
4
10
16
16
8
0
0
0
0
0
32
32
0
0
0
0
0
32
32
32
32
12
0
0
0
9
9
16
0
0
0
2
2
8
8
8
0
8
16
16
16
16
8
4
4
4
4
0
0
8
8
8
4
4
4
1
1
34
24
8
0
0
8
8
8
16
0
0
8
0
32
32
32
32
32
8
8
8
0
0
0
16
0
16
20
16
20
2
0
0
0
2
16
0
0
0
0
0
0
8
16
16
16
16
16
16
16
0
0
0
4
16
8
16
0
0
16
16
0
8
1
0
8
0
0
0
0
4
4
4
16
34
16
16
8
0
16
16
0
2
2
8
24
24
8
0
28
1
1
1
1
49
33
33
33
33
33
0
1
0
0
0
16
8
16
16
16
16
8
8
8
4
8
1
0
0
0
3
3
8
16
4
0
8
8
0
0
8
8
8
1
1
20
0
16
8
0
4
8
16
16
0
17
2
9
9
0
0
16
16
16
16
0
3
3
3
3
4
4
0
0
8
8
8
8
8
16
8
34
34
0
9
9
16
16
0
0
0
0
16
16
16
16
16
16
0
24
8
18
2
8
16
16
1
2
4
4
4
0
0
1
16
8
8
0
8
8
4
4
8
8
8
8
0
8
8
16
16
16
0
0
0
8
0
16
18
8
8
16
32
32
32
0
28
0
0
8
40
16
16
16
0
0
4
17
8
0
20
8
0
17
17
17
17
17
8
16
18
16
16
0
32
34
4
4
4
16
16
16
16
16
6
0
0
16
16
16
16
16
32
32
16
16
2
2
0
8
8
0
0
0
0
0
0
0
0
0
21
0
4
4
4
8
8
8
8
0
0
1
16
0
8
8
0
0
0
0
0
19
19
16
16
16
16
16
16
0
2
4
4
8
16
16
0
0
0
4
16
16
16
16
8
8
8
0
16
8
0
0
8
8
16
24
1
0
0
4
4
0
2
8
1
1
0
0
2
0
8
8
8
8
8
8
1
24
8
40
28
8
0
24
24
24
24
24
24
0
0
17
16
0
0
4
4
4
4
4
16
16
16
16
16
0
1
25
8
1
4
4
16
16
16
16
1
8
8
8
0
44
16
16
20
20
3
3
0
8
8
8
8
8
51
0
1
16
1
0
8
8
8
8
4
8
8
8
8
8
0
32
0
0
8
8
8
8
20
20
8
8
0
40
0
0
33
0
16
16
8
8
0
0
8
0
8
16
16
16
16
0
8
2
8
8
0
32
0
0
0
8
1
1
1
1
43
0
0
8
8
16
16
16
16
16
0
16
28
8
8
8
8
0
0
8
12
16
16
16
8
8
4
4
2
44
44
44
44
0
16
17
21
17
0
0
0
1
16
16
16
16
16
0
0
0
0
16
0
0
16
16
0
0
8
0
0
4
4
8
40
40
0
0
0
16
0
0
0
0
8
8
8
32
32
8
1
0
0
2
0
0
0
0
8
8
8
6
4
4
20
1
1
1
1
32
0
8
24
28
0
4
0
0
0
16
8
1
1
16
6
2
8
8
8
8
8
8
8
8
16
8
8
8
0
0
0
0
0
1
0
8
8
8
0
0
0
8
8
8
8
8
2
2
2
8
20
4
4
8
8
8
16
2
2
0
0
0
4
0
0
8
24
8
8
0
1
1
16
16
2
0
8
16
16
16
0
0
0
0
0
1
1
8
8
8
8
0
0
0
8
8
8
8
20
16
10
10
10
2
2
32
32
8
8
0
0
0
0
4
4
4
0
0
12
12
0
0
8
8
8
32
0
0
0
2
2
0
16
16
16
16
16
16
16
16
16
8
8
16
16
2
10
1
1
20
4
4
4
4
4
4
4
4
4
0
0
0
0
16
8
8
8
2
2
2
8
1
0
8
8
1
1
0
0
16
1
0
0
8
40
40
16
16
16
16
2
2
0
0
8
8
0
0
1
8
13
8
8
0
0
0
8
12
8
16
2
2
48
0
0
0
0
0
0
32
32
48
16
16
8
2
8
1
1
1
0
0
2
8
8
1
1
8
8
8
8
8
16
0
12
4
4
0
0
0
0
0
0
9
9
0
0
0
0
0
1
1
0
0
0
1
1
1
1
16
16
1
0
0
18
18
2
8
41
41
41
41
8
2
16
16
28
4
8
16
32
32
8
16
0
0
2
2
8
8
8
8
8
0
0
0
1
1
2
0
0
8
0
24
16
12
8
8
8
16
16
0
1
1
1
0
0
9
9
9
0
0
0
0
0
0
0
3
0
0
16
16
16
0
16
8
8
8
8
8
4
0
0
0
0
0
0
0
8
0
49
49
2
0
1
8
32
8
8
8
8
8
2
0
0
0
17
17
17
16
8
8
8
1
0
0
0
1
0
0
16
16
16
16
8
8
0
0
0
16
0
8
8
16
16
0
0
25
25
25
50
50
50
50
8
4
4
4
4
4
1
1
1
1
0
0
0
8
8
0
4
16
16
8
8
8
8
8
8
8
8
8
16
0
16
16
16
8
8
8
8
24
0
0
8
8
16
0
2
8
0
16
16
8
8
0
0
0
0
16
16
4
8
8
8
16
16
16
8
8
8
8
8
8
0
1
4
4
0
0
0
16
8
8
8
8
16
16
32
32
16
16
0
0
0
10
8
10
10
10
0
8
0
0
0
10
10
32
32
16
16
8
8
0
8
0
0
18
8
0
0
8
8
8
8
8
8
8
0
16
8
8
16
4
24
24
24
24
24
16
16
16
16
28
28
28
8
8
8
8
0
0
0
0
0
0
0
24
24
24
8
8
8
8
8
8
0
0
20
8
1
0
0
16
20
20
0
16
16
32
0
0
8
8
0
0
0
0
0
0
0
0
24
0
8
8
8
8
0
0
0
16
8
8
8
0
0
0
0
0
0
1
4
24
8
8
8
8
8
0
1
8
12
0
0
4
4
1
8
0
0
0
0
0
0
0
0
0
4
4
8
8
9
0
4
4
1
8
8
8
8
8
8
8
16
16
16
16
16
8
8
1
16
16
8
0
0
0
0
0
8
8
0
0
0
0
0
4
8
8
8
8
8
8
8
0
0
0
0
2
0
4
0
16
0
0
24
16
16
2
0
0
0
0
16
0
2
2
2
2
16
24
0
0
0
16
16
4
4
4
4
0
16
16
24
1
0
0
8
8
8
8
21
2
0
0
0
0
2
2
0
0
0
0
0
0
0
0
0
1
1
8
8
8
16
16
16
16
8
8
0
0
1
0
0
0
8
2
16
16
16
16
0
0
0
0
0
0
16
16
16
16
16
0
8
8
16
8
0
0
32
8
8
16
16
16
16
8
20
2
0
8
8
8
8
5
16
16
16
16
16
16
2
16
16
1
8
8
8
8
0
0
4
16
16
16
2
2
0
32
16
16
16
16
16
8
8
33
1
0
0
8
0
8
0
24
24
8
16
16
16
16
0
8
8
8
0
8
8
8
16
16
16
16
16
1
1
0
1
8
8
20
8
8
8
0
0
16
8
8
8
8
16
8
8
2
8
16
16
17
17
2
2
2
2
4
16
8
2
2
2
0
1
0
0
0
16
16
16
16
8
8
8
8
16
0
16
16
17
8
0
8
0
24
24
16
16
0
0
2
18
2
32
0
24
2
2
2
2
34
34
0
0
5
5
2
2
0
0
0
16
16
0
16
0
0
0
0
12
0
0
2
2
8
0
0
0
0
18
16
16
16
0
0
8
0
0
0
0
16
2
4
2
2
8
16
16
16
16
8
0
16
0
24
32
0
0
0
36
32
16
4
2
8
26
16
16
16
16
32
16
8
8
16
16
1
0
24
0
8
8
8
0
2
2
2
2
8
0
0
8
0
0
0
0
0
0
16
4
56
0
0
0
0
1
1
1
1
1
1
8
8
0
0
0
0
0
0
1
8
8
0
16
0
0
4
0
0
0
0
0
16
16
16
16
0
0
0
0
0
0
0
0
8
0
0
8
17
0
45
45
0
0
0
0
8
8
8
0
0
8
8
1
1
1
4
4
4
0
0
0
8
8
8
8
8
16
16
16
16
16
24
8
8
8
0
0
0
24
0
0
0
1
0
2
8
0
4
4
8
8
0
0
0
16
16
24
8
8
8
0
0
0
16
16
60
60
60
60
16
8
0
0
0
0
0
0
0
0
0
0
8
8
8
16
12
16
0
2
24
16
0
0
8
24
16
4
16
16
16
8
0
0
0
0
0
4
4
4
4
4
17
17
8
16
33
36
36
0
20
24
24
16
16
16
8
2
2
2
2
2
9
16
40
4
4
32
32
32
32
0
0
0
16
0
0
0
8
17
8
16
16
16
16
17
0
4
16
16
16
16
16
12
8
8
4
20
0
0
0
2
0
0
0
8
8
0
0
17
17
16
16
1
8
8
8
8
8
16
16
16
0
0
2
2
2
2
16
16
16
8
0
22
22
22
22
8
8
16
8
0
24
0
0
0
0
8
16
16
16
1
1
0
4
8
8
8
8
2
1
1
0
0
0
0
8
0
0
0
8
0
0
0
0
0
1
1
1
8
0
0
0
0
1
1
1
1
16
0
0
0
8
8
8
8
8
32
32
32
32
4
4
4
0
4
8
0
8
8
0
16
16
16
16
0
0
16
0
0
0
8
0
4
20
20
8
8
8
16
24
16
16
16
36
17
18
18
18
0
8
8
8
8
8
8
8
0
0
0
16
24
24
0
0
0
0
1
24
0
0
4
0
0
16
8
16
16
16
16
16
16
16
16
16
16
8
16
0
0
0
8
0
8
8
40
8
16
0
16
10
0
0
0
22
22
8
8
8
0
4
16
16
16
0
8
4
4
16
16
16
16
0
2
4
0
0
8
8
8
0
0
16
16
16
16
16
16
1
16
16
0
0
0
8
8
0
0
4
16
8
0
0
18
8
8
8
8
8
8
8
6
6
8
8
8
8
2
16
0
16
0
0
16
16
16
8
8
8
8
8
8
8
24
24
24
24
24
24
0
8
4
0
16
16
20
20
0
0
8
8
16
16
16
2
0
0
0
0
0
0
8
8
8
8
8
8
8
32
0
8
8
32
32
32
32
0
0
0
17
5
8
8
8
32
0
0
8
8
0
0
0
8
8
16
16
16
1
1
16
16
8
16
24
0
0
32
16
4
4
4
4
4
0
0
8
0
0
2
2
8
0
1
1
9
1
1
24
24
24
24
0
0
0
0
0
16
16
0
16
16
49
0
0
8
0
0
0
0
8
1
1
1
12
8
0
8
0
0
0
40
40
8
0
0
6
0
0
0
16
0
18
0
8
0
4
4
4
4
16
2
8
0
0
8
8
16
1
16
2
8
8
8
8
8
8
4
0
0
0
32
16
8
8
8
8
8
8
0
0
28
28
16
16
8
8
0
0
0
0
0
0
0
0
16
16
16
16
16
16
16
16
16
16
16
16
8
8
8
8
8
8
2
2
2
2
2
24
0
0
0
0
10
8
8
8
8
8
8
0
0
0
2
0
0
0
16
0
8
12
16
8
8
8
8
2
2
4
0
0
0
2
2
2
0
20
20
20
8
24
24
24
0
0
8
8
0
8
8
0
0
8
0
8
8
8
8
0
0
0
20
0
4
4
48
48
24
8
8
8
8
0
0
0
16
16
16
16
16
16
16
0
0
0
0
0
0
0
0
0
8
16
16
16
17
17
0
4
4
4
4
4
48
48
48
48
0
0
8
8
16
0
0
0
0
0
0
24
24
0
0
10
10
10
10
8
8
16
16
28
9
1
1
4
4
8
20
20
16
15
15
15
15
1
1
1
9
16
16
2
8
16
16
16
0
6
8
8
8
2
8
8
0
8
0
0
24
0
0
0
0
0
0
0
0
0
4
4
4
4
4
4
16
16
1
20
16
16
0
16
0
0
0
0
8
8
8
0
0
16
0
5
8
8
8
8
0
8
8
2
8
8
8
8
2
2
2
2
2
2
2
2
2
4
8
0
0
0
0
0
0
0
0
0
0
0
16
12
12
0
0
0
0
1
0
8
8
8
8
8
2
8
0
19
16
16
0
0
0
32
32
32
2
0
0
0
0
0
0
8
8
8
8
8
8
8
8
8
0
16
12
0
22
0
57
8
8
24
24
8
8
8
8
2
8
0
0
0
61
16
16
16
0
0
2
2
0
16
48
48
16
16
8
8
8
8
0
0
8
8
8
8
8
0
0
0
2
0
10
10
0
0
0
5
5
5
0
32
32
4
0
0
0
0
0
2
2
1
8
4
4
16
8
16
8
8
0
0
0
0
8
14
0
0
1
1
0
24
24
16
16
16
16
16
16
16
0
4
0
1
1
1
0
8
0
0
32
8
40
32
32
32
1
1
1
0
36
3
0
0
2
2
1
1
0
0
0
16
16
16
0
8
8
8
0
8
8
2
0
24
8
8
0
0
16
32
4
16
16
16
0
4
4
4
0
0
0
0
0
8
0
0
5
5
5
4
4
4
4
0
0
0
0
0
0
0
0
0
0
0
0
2
0
32
8
15
8
8
0
0
8
8
0
0
8
8
16
10
10
10
16
4
4
8
8
8
16
16
16
16
16
16
16
0
16
16
16
16
16
24
0
0
16
16
0
0
8
8
0
0
0
1
8
16
16
16
8
16
0
0
0
0
0
8
8
8
16
16
16
16
16
16
16
16
16
16
0
0
0
0
0
16
8
0
0
16
16
16
16
0
8
8
0
8
8
8
16
0
0
0
0
56
16
4
4
16
16
16
16
8
16
24
8
8
8
8
3
0
4
4
0
0
0
0
0
0
0
0
0
2
2
2
2
20
20
20
20
20
20
20
8
8
16
16
16
4
4
4
4
1
1
8
1
1
8
16
1
1
1
0
16
8
8
8
8
0
8
8
8
8
28
20
29
0
0
0
0
2
2
2
16
16
16
0
1
0
0
4
8
8
8
2
8
8
8
8
8
8
16
32
32
0
0
0
0
2
8
8
8
8
8
8
40
8
0
0
0
0
0
0
4
4
32
0
1
0
16
16
16
8
8
8
0
8
0
1
1
20
0
0
62
62
62
62
1
1
1
4
40
40
0
0
8
16
16
0
0
0
0
0
0
0
4
4
4
4
0
16
16
16
16
16
16
16
8
8
8
1
0
8
0
0
0
0
0
0
0
0
0
16
16
1
1
8
8
17
0
0
0
0
0
0
8
1
1
1
57
57
8
8
8
8
8
8
8
0
0
17
4
4
4
4
8
8
4
4
4
16
0
0
0
0
0
0
0
0
0
0
0
0
0
8
16
16
16
0
0
8
8
8
8
8
8
8
8
8
12
5
5
5
4
16
4
4
4
4
11
1
16
8
2
2
40
0
16
16
4
8
32
0
16
16
16
8
0
28
2
16
8
8
16
16
24
8
2
16
16
0
8
0
0
0
16
16
16
16
16
24
8
8
8
8
8
32
8
16
16
0
0
8
8
8
0
8
8
8
17
8
8
8
26
26
0
0
16
16
16
8
44
4
4
2
2
2
2
2
2
0
0
0
0
0
1
1
16
16
24
16
0
4
8
1
1
1
1
8
0
1
1
8
32
4
4
4
4
0
22
0
2
2
2
2
2
2
0
0
0
0
8
8
4
56
56
0
8
8
0
0
20
20
8
8
0
8
8
16
16
16
16
28
28
8
8
8
8
8
8
8
4
4
4
0
0
0
0
0
0
32
4
4
4
4
4
22
2
4
4
4
4
4
4
8
8
1
1
16
16
8
16
8
8
8
8
8
8
16
20
0
0
32
0
0
8
16
0
0
32
2
24
17
17
0
0
0
0
8
24
0
0
0
0
0
4
2
8
0
0
0
4
16
40
4
0
16
24
16
16
24
8
0
24
16
1
0
0
0
0
0
16
16
16
16
0
0
0
0
0
0
8
8
0
8
0
0
0
16
24
24
1
16
16
16
16
0
8
8
8
8
1
1
16
16
16
0
0
48
8
0
16
16
8
0
0
8
16
0
2
8
0
16
0
24
24
24
16
16
16
0
0
0
24
24
0
8
8
8
8
8
8
2
8
8
8
8
8
0
0
16
4
1
1
8
8
16
0
0
0
0
5
0
10
10
48
0
8
8
8
0
0
0
20
20
20
20
20
20
20
16
16
16
48
0
48
8
16
8
0
4
16
1
1
16
16
0
0
0
0
0
0
0
0
0
2
8
0
0
16
0
33
0
24
8
17
2
0
0
0
8
0
0
8
8
0
0
0
0
0
16
8
0
0
1
1
1
16
4
8
8
8
2
16
16
16
40
40
4
4
4
4
8
8
8
8
0
0
0
0
2
8
8
0
0
16
16
20
0
22
22
16
8
27
27
16
4
4
4
16
0
0
0
8
8
24
0
10
10
16
16
16
0
0
8
1
8
8
8
0
8
1
16
24
24
0
34
16
16
16
16
16
16
16
0
0
0
0
0
0
8
8
8
8
8
16
16
16
24
16
16
16
16
16
16
0
8
1
0
8
8
8
8
25
2
2
2
0
16
16
16
16
16
0
8
1
0
0
0
0
0
0
16
16
16
1
1
1
1
0
1
1
24
8
16
0
49
48
8
16
16
16
16
0
0
25
25
16
16
16
16
16
16
26
10
0
0
0
0
0
16
0
8
8
8
4
4
4
4
0
0
0
0
0
24
8
8
24
24
0
0
0
0
9
5
8
8
10
8
2
0
0
0
0
9
0
4
4
8
4
2
2
2
2
2
24
24
24
0
0
0
0
0
8
16
16
24
16
2
20
0
4
1
8
8
8
1
8
8
8
8
8
8
16
8
1
16
16
16
25
25
8
2
1
4
1
4
8
8
0
0
0
0
0
8
8
0
4
4
0
16
8
0
2
16
16
0
1
1
8
8
8
8
0
8
8
0
0
0
0
16
0
0
0
0
0
0
0
1
1
1
8
8
16
16
16
0
16
16
0
0
0
8
8
8
6
8
16
16
16
0
0
1
0
24
16
0
0
0
24
2
2
0
0
32
32
0
2
2
2
2
2
8
0
4
8
12
4
8
16
16
1
8
0
0
32
32
0
0
25
25
25
25
4
8
8
8
8
8
8
8
8
8
8
8
16
4
4
4
4
16
16
16
0
0
0
4
8
0
0
0
16
0
0
8
40
9
9
1
0
16
4
8
1
1
1
1
1
1
1
8
0
0
24
24
8
8
40
40
8
34
0
0
0
0
0
1
17
17
8
8
32
32
32
32
0
0
0
5
1
4
8
8
8
8
2
8
8
0
0
0
0
0
0
32
32
0
2
2
8
4
4
32
32
8
8
8
0
42
8
0
16
4
1
1
1
1
0
2
2
1
16
16
0
0
16
16
0
16
0
16
16
2
2
28
8
8
0
1
0
0
1
4
4
0
0
0
0
16
16
16
16
16
8
8
8
8
8
0
1
4
16
8
8
8
32
32
32
32
32
32
32
8
4
4
4
0
0
8
0
8
8
8
8
8
16
4
32
23
23
8
8
8
8
8
8
0
0
0
0
0
9
16
1
1
16
16
16
16
16
0
16
41
41
0
0
0
32
32
23
0
0
8
8
8
8
8
8
8
8
1
8
0
8
8
6
6
4
4
4
4
1
33
0
3
0
20
20
20
0
0
0
4
4
4
4
6
6
0
0
8
8
8
8
8
8
8
0
16
16
16
16
16
8
0
0
0
16
0
8
8
8
0
16
16
19
4
4
4
4
16
16
16
1
1
1
1
1
1
1
1
1
1
3
3
0
8
0
0
0
2
10
2
4
4
2
0
16
16
2
18
0
1
1
0
16
16
0
4
16
0
8
16
8
8
8
8
8
8
4
0
2
26
0
16
16
0
0
0
0
0
0
8
8
8
8
16
1
0
0
8
8
8
8
1
4
4
16
8
8
8
8
8
4
0
0
8
8
8
8
8
16
16
16
16
16
16
4
8
8
8
8
8
0
0
1
1
16
16
16
16
16
16
16
16
0
0
0
0
0
0
0
0
0
0
8
0
8
1
1
0
9
16
8
8
0
8
8
8
8
16
16
16
16
8
0
16
16
17
0
16
16
16
0
0
8
0
0
2
2
0
8
0
0
0
0
16
32
32
1
1
8
8
16
16
16
16
16
0
0
8
8
16
18
0
0
16
16
48
48
48
48
0
0
0
8
28
9
9
9
9
0
0
2
2
2
0
4
32
16
0
0
0
8
8
8
8
0
0
0
16
32
32
8
0
0
0
0
0
0
2
16
24
0
0
0
0
0
9
0
8
8
8
8
8
8
8
0
18
18
32
0
0
0
8
20
16
0
0
0
0
0
0
1
8
8
8
8
8
0
2
16
16
8
8
1
16
16
16
1
1
1
1
1
1
2
16
0
16
4
4
0
18
18
2
2
2
2
8
8
0
16
16
3
3
3
24
24
24
24
24
16
16
16
16
8
8
16
8
16
0
0
16
16
8
8
8
4
0
33
33
2
8
8
16
16
0
0
0
16
16
0
2
8
8
8
1
1
0
16
16
2
2
2
4
4
4
16
16
0
0
1
0
0
8
8
8
0
0
0
5
5
16
8
8
0
0
0
16
16
16
16
16
1
0
0
8
0
0
0
8
8
8
0
0
0
0
0
16
32
32
52
6
0
0
16
16
16
16
16
8
8
8
8
0
0
20
20
12
40
40
8
8
16
0
0
0
8
8
16
0
0
0
32
32
32
4
4
0
0
0
16
16
8
8
8
0
0
18
2
2
2
2
8
8
8
0
0
0
4
4
4
16
0
0
0
0
0
0
8
0
16
16
16
4
0
37
0
0
0
16
8
12
0
16
16
16
16
0
0
0
0
0
8
16
16
0
0
0
40
8
0
8
8
8
17
17
17
8
28
0
0
8
8
8
8
0
16
16
16
16
16
9
8
8
8
8
0
0
1
1
1
1
1
0
0
0
17
0
1
1
1
8
8
4
1
0
0
44
44
44
1
0
8
8
12
12
2
4
0
0
0
0
8
4
4
4
4
11
32
8
2
2
8
0
44
44
8
8
8
1
1
4
6
20
8
8
8
16
4
0
2
16
8
8
8
16
0
0
0
0
0
8
0
0
48
48
48
0
0
0
0
44
44
0
0
0
0
17
17
8
1
17
16
16
16
1
1
0
0
16
16
16
8
16
8
25
8
8
24
16
0
17
8
8
8
8
16
16
16
16
16
1
1
8
16
8
8
4
4
0
16
16
16
4
0
34
0
0
0
0
1
0
0
8
0
0
6
0
0
17
17
16
16
0
9
9
9
9
32
32
26
26
26
26
26
26
26
4
4
16
8
8
8
8
8
16
0
0
0
0
8
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
4
0
0
8
8
8
8
1
32
16
16
16
0
0
0
8
16
8
8
8
16
16
16
16
16
8
8
16
16
16
0
0
0
24
8
8
8
8
8
0
0
8
8
8
8
4
0
1
8
1
1
1
1
1
16
16
8
8
16
16
16
8
8
8
0
0
0
1
0
4
16
0
8
8
8
29
29
8
0
0
0
0
8
8
8
8
0
0
0
0
0
0
1
2
0
0
0
0
0
0
0
0
8
9
1
2
2
16
16
0
0
0
0
8
16
16
16
0
1
1
0
1
8
8
0
0
16
0
0
0
0
16
16
16
16
16
17
0
8
16
16
16
0
0
8
9
9
0
8
8
8
0
0
8
0
0
8
16
16
0
8
16
8
4
4
4
1
8
8
8
8
2
2
2
2
4
0
0
16
16
0
0
8
8
4
61
61
61
0
0
0
0
0
0
0
0
0
16
16
0
0
0
33
8
8
8
8
8
8
0
8
8
8
8
8
8
0
4
2
16
16
16
16
16
16
8
0
0
0
8
8
8
0
0
0
0
0
1
1
1
1
16
16
8
16
4
8
8
2
0
0
0
0
0
0
8
0
0
0
8
0
24
1
8
8
8
8
8
4
8
8
8
8
8
16
16
8
8
8
8
0
27
27
16
0
0
8
8
8
8
0
1
8
8
8
8
0
0
0
4
8
8
8
16
16
8
20
9
9
9
9
9
2
2
0
32
13
8
0
0
0
0
3
0
30
8
8
8
8
8
8
0
9
9
10
2
2
2
2
8
16
17
9
1
1
0
16
8
8
8
8
4
4
0
0
0
0
1
16
0
1
8
8
8
8
8
8
16
16
16
4
4
4
4
0
0
0
0
16
0
0
48
8
0
0
0
0
0
0
1
1
1
0
48
16
8
8
0
0
18
0
0
0
0
16
8
8
8
8
8
8
8
0
0
0
32
0
0
0
8
8
40
0
16
16
16
16
1
0
9
9
9
9
16
16
16
16
8
8
8
8
8
0
4
4
40
1
16
16
16
16
16
16
16
8
8
8
8
8
8
8
0
0
0
0
0
0
0
16
18
41
8
8
8
8
8
8
8
8
8
8
8
8
8
32
32
2
16
16
16
0
0
8
8
0
0
8
2
2
0
0
4
4
1
1
1
1
1
1
1
2
2
8
8
4
8
9
9
0
0
0
0
16
16
16
16
16
16
8
8
0
0
8
16
16
8
40
40
8
8
8
8
8
8
0
0
16
16
0
0
0
0
0
0
8
8
16
0
0
24
24
24
24
0
0
2
2
2
2
2
8
8
13
13
16
4
4
4
0
4
16
16
32
48
32
32
1
1
4
4
16
8
16
16
16
16
16
1
1
16
1
16
0
4
4
0
0
16
16
16
8
32
32
48
16
9
8
8
0
16
0
0
1
0
0
8
0
8
8
8
0
0
0
0
0
20
20
20
4
16
16
16
16
4
4
0
8
1
0
33
8
32
0
0
8
1
9
4
4
4
8
0
16
0
0
2
4
2
2
16
32
16
16
16
16
16
24
24
24
8
8
2
1
1
1
1
0
0
16
16
4
8
0
0
0
0
0
4
0
0
0
0
0
16
16
16
16
0
16
16
16
16
0
0
4
4
4
4
16
16
16
8
4
8
24
24
8
8
16
0
2
2
8
8
8
0
9
9
9
9
8
8
8
4
4
4
4
4
4
4
4
4
4
4
16
16
16
19
0
0
8
4
4
4
4
4
4
4
4
4
4
8
4
4
4
4
0
0
0
0
0
0
0
1
1
24
16
16
16
0
16
8
8
8
8
16
16
32
32
1
16
8
1
1
32
8
0
0
8
8
0
8
16
8
8
8
8
8
8
0
17
8
0
0
8
8
8
8
0
0
0
16
0
0
8
32
32
16
0
40
21
21
4
4
0
0
0
0
8
9
0
0
8
8
8
8
16
16
8
8
16
16
16
16
16
16
16
16
16
16
16
16
2
1
1
0
56
8
8
8
8
0
16
16
16
16
3
0
0
8
8
8
8
8
0
0
16
16
16
16
0
6
2
0
33
0
0
10
16
16
16
16
32
16
12
8
8
8
0
2
4
16
16
16
16
16
16
24
16
16
16
0
0
0
8
16
16
16
16
16
0
29
29
29
8
8
2
0
0
2
0
8
0
0
0
8
8
0
16
24
24
8
0
8
2
2
2
2
0
16
16
8
8
8
8
8
8
8
0
0
0
0
10
0
0
5
5
0
0
16
0
4
4
32
32
8
8
8
0
0
8
8
24
0
0
0
8
8
8
8
28
32
8
8
8
0
8
8
16
16
16
16
16
2
8
0
8
8
0
0
0
2
2
0
0
0
0
2
2
8
1
1
1
0
24
2
0
0
0
4
4
4
4
4
4
0
0
0
8
0
0
0
0
12
0
16
16
16
16
0
16
0
0
16
8
8
8
20
4
4
16
16
16
16
0
8
8
16
16
8
32
32
32
0
16
0
8
8
0
4
4
4
4
4
3
3
0
0
5
0
0
0
16
0
16
16
16
16
16
3
3
0
0
2
2
0
0
1
1
1
8
8
1
1
16
16
16
0
0
8
32
32
32
4
4
8
8
0
0
8
8
27
8
8
0
0
8
32
32
16
16
16
0
0
0
0
0
0
0
16
16
17
1
1
1
1
4
0
9
0
0
0
8
8
8
8
8
8
32
32
0
8
0
0
16
16
24
24
24
8
0
0
8
1
1
1
0
0
0
0
16
16
16
4
8
0
0
1
16
8
8
0
1
1
1
1
0
0
8
4
4
4
4
8
8
16
16
0
0
6
2
2
0
0
8
2
2
2
0
17
0
0
0
0
8
8
24
8
8
8
8
16
16
1
8
8
8
8
8
16
16
8
27
8
16
16
16
20
2
16
16
16
8
8
8
1
0
1
8
8
8
8
8
8
8
8
0
32
32
16
16
16
16
20
20
1
1
1
1
1
0
16
16
18
18
16
16
16
0
0
0
8
40
8
8
8
8
8
8
4
8
8
8
8
8
8
8
1
36
8
16
2
8
8
8
8
8
0
8
0
16
0
0
24
8
8
1
1
1
16
16
16
16
16
0
16
0
0
0
16
24
24
4
20
20
4
4
8
0
0
8
8
0
0
0
20
20
20
20
20
20
8
16
16
16
16
0
0
16
0
20
8
2
0
16
8
8
8
4
4
4
16
16
16
20
8
0
4
0
16
16
16
16
16
16
32
0
0
0
8
8
8
0
0
2
0
0
0
0
0
0
0
0
0
2
8
0
0
16
16
0
8
16
16
16
16
16
0
16
16
0
16
2
16
16
8
32
32
4
0
16
16
8
8
0
2
0
0
8
8
8
0
0
0
8
0
0
0
0
8
8
8
8
0
0
0
0
8
24
16
0
16
16
16
16
16
16
17
17
8
0
0
0
0
0
28
3
3
3
3
3
4
4
4
8
8
8
0
9
8
16
8
0
2
8
0
0
0
8
0
8
8
32
32
32
1
3
3
32
32
0
8
8
8
8
8
8
16
16
0
0
0
0
16
40
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
8
12
0
0
0
0
1
1
0
17
17
16
16
0
16
0
56
56
0
0
0
0
0
0
0
16
4
4
16
17
17
17
17
17
17
0
0
0
0
0
0
0
4
4
0
0
16
17
17
17
16
0
0
0
0
0
8
8
8
13
1
1
8
1
24
24
2
2
2
8
8
8
8
0
0
4
4
0
0
0
0
0
16
8
8
4
4
0
16
16
1
1
0
0
16
16
16
16
16
16
16
16
16
16
16
25
25
20
20
20
8
0
16
0
16
0
8
0
0
0
0
16
26
0
0
0
16
16
32
32
32
5
5
0
0
0
0
0
16
0
0
0
24
24
8
1
16
16
16
4
4
4
4
32
32
32
32
8
0
8
32
24
24
0
32
0
0
0
8
8
8
8
24
8
8
8
8
1
1
0
0
2
2
2
4
28
16
0
24
0
0
0
16
16
8
8
2
8
8
8
8
0
0
0
0
8
0
16
16
16
16
16
16
8
8
8
8
16
16
16
16
41
0
0
0
0
32
34
58
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
1
4
8
8
8
2
2
1
0
0
0
0
0
0
0
16
26
26
0
0
0
8
0
8
8
4
0
8
2
2
16
16
12
0
8
4
4
4
4
8
8
8
8
8
16
8
1
0
0
4
24
24
39
8
8
8
8
2
2
2
2
2
2
0
0
8
6
6
6
6
2
0
8
44
44
1
0
8
8
2
2
9
9
9
0
0
0
0
0
16
16
16
0
8
8
8
1
0
1
1
1
16
16
16
6
6
0
0
8
8
2
8
8
16
0
2
8
0
8
8
24
0
0
0
0
8
0
8
1
8
8
0
4
4
0
0
0
0
8
8
0
0
0
1
0
0
8
24
16
1
1
1
0
8
1
1
4
4
16
16
16
20
20
16
8
0
2
2
2
24
24
24
8
8
8
8
32
4
8
8
8
8
8
0
26
2
0
0
0
0
0
1
1
4
4
8
0
0
0
16
0
0
0
0
0
32
24
0
0
1
32
1
1
8
4
32
0
0
0
1
1
0
20
20
4
6
6
8
2
0
16
16
32
4
4
4
2
8
2
16
8
8
20
8
8
56
56
8
8
8
8
16
0
0
17
0
0
0
8
8
0
0
4
16
16
16
16
16
1
1
1
1
12
12
12
12
0
1
8
0
0
8
8
0
0
0
0
12
0
0
26
26
26
26
16
16
16
16
16
8
16
1
1
1
1
1
0
0
8
0
4
4
4
0
8
8
16
16
17
16
16
16
0
27
27
16
16
0
0
0
16
16
16
16
4
4
4
8
8
8
8
0
8
0
6
6
6
6
8
4
4
4
4
0
0
0
0
0
0
0
0
0
16
0
16
1
1
1
8
8
16
16
0
0
16
16
16
0
8
16
16
16
24
24
24
24
24
24
0
0
0
16
16
8
0
0
0
0
22
32
32
32
0
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
0
16
0
19
8
16
16
16
16
0
0
0
14
0
16
8
16
0
17
3
8
8
8
21
21
16
0
5
5
5
0
0
0
0
4
16
16
16
33
33
16
16
16
16
8
8
2
2
2
16
16
8
56
6
0
0
16
16
2
8
8
0
32
4
4
4
48
48
48
5
16
16
21
16
0
0
1
1
1
1
0
8
16
16
16
32
14
49
4
24
24
24
16
16
0
16
1
8
16
16
0
2
19
19
2
1
1
1
8
8
8
0
0
0
0
8
24
16
16
16
20
20
20
20
2
8
8
8
8
16
0
4
0
8
2
8
0
4
16
0
4
4
4
8
16
4
16
1
0
0
0
0
16
4
0
0
0
0
2
2
8
1
1
0
8
8
8
8
8
8
8
32
8
16
0
0
8
0
0
0
0
0
0
0
0
0
0
32
8
8
8
0
0
0
8
8
5
5
5
1
2
2
8
40
8
1
8
8
16
0
0
0
0
0
0
0
24
24
8
8
2
0
24
8
10
2
1
0
1
8
0
0
0
0
2
2
0
0
0
0
8
8
8
16
32
12
20
8
8
8
8
8
8
24
24
24
24
32
32
32
32
0
16
16
8
8
0
0
0
25
16
16
16
0
16
16
16
2
2
2
2
0
0
4
8
24
24
4
4
4
0
8
0
0
0
0
0
0
0
0
0
0
1
8
0
0
20
20
8
8
12
8
16
8
3
3
0
0
2
2
0
2
28
0
16
32
4
2
16
0
0
0
24
8
0
0
8
8
16
16
16
16
0
0
2
8
8
8
33
32
29
16
0
0
16
32
0
8
0
2
0
0
16
0
0
16
0
13
13
13
16
16
24
4
12
4
4
32
32
32
8
0
1
1
17
17
8
0
0
0
32
0
4
16
16
16
16
16
0
16
0
8
5
24
0
0
8
0
0
0
16
16
0
0
0
0
2
8
20
1
1
1
1
1
9
9
9
9
9
9
8
0
0
2
2
0
0
4
8
8
8
8
8
0
8
0
0
8
0
0
0
0
32
32
32
32
32
32
8
0
16
16
16
8
8
8
32
16
0
0
0
16
4
4
4
4
16
16
8
32
0
32
41
16
0
0
8
8
16
12
2
9
16
0
0
0
0
8
8
2
2
2
1
1
1
1
1
8
8
2
2
2
8
8
0
0
2
0
8
12
8
8
8
0
0
8
8
8
8
8
8
0
8
8
24
24
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
2
2
2
0
4
0
0
0
0
0
0
0
0
0
0
8
16
8
10
8
8
2
0
0
0
0
0
24
16
16
2
2
2
2
2
16
16
16
0
0
2
48
50
50
24
16
2
2
2
2
8
0
8
0
0
0
16
16
16
16
16
16
16
0
16
0
0
8
8
8
1
0
24
8
8
8
8
8
0
16
6
6
0
0
0
0
8
10
0
0
0
16
0
0
0
0
0
16
16
16
16
16
0
2
2
0
0
8
16
8
8
8
8
8
0
8
8
2
2
2
8
0
4
16
16
0
0
16
0
0
0
0
0
9
8
8
16
20
0
8
8
0
8
8
8
40
0
2
6
8
0
0
0
0
0
0
4
4
4
4
4
0
0
0
0
1
0
0
0
24
0
0
8
8
8
8
8
0
0
0
0
0
0
0
0
8
18
24
0
0
8
21
21
21
0
1
1
1
1
1
1
1
1
8
12
16
16
0
0
0
8
8
1
1
8
0
0
1
0
0
0
8
8
40
8
8
20
20
16
16
16
0
0
16
8
0
16
16
16
4
0
0
0
0
8
8
8
8
16
16
0
0
8
2
0
16
16
16
16
0
8
16
12
12
0
0
0
0
48
11
11
11
2
24
24
24
24
24
24
24
0
0
0
0
8
8
8
0
8
8
8
8
0
0
4
4
4
4
8
8
8
0
0
24
1
1
16
16
16
0
18
18
18
0
0
0
0
0
16
16
8
0
0
0
0
0
0
0
0
0
8
0
32
0
0
0
16
16
16
16
16
16
0
0
0
0
24
24
24
24
24
16
16
0
0
0
0
0
0
8
8
0
2
0
0
8
8
8
8
16
8
8
8
0
0
0
0
8
8
0
16
34
34
34
8
16
16
0
0
16
4
4
8
0
0
8
16
1
0
1
1
1
1
1
1
1
1
16
16
16
0
0
16
16
16
16
8
8
8
8
0
0
0
4
4
0
8
8
0
16
16
16
0
0
0
16
4
4
16
0
16
16
8
0
8
8
8
8
18
18
18
0
0
0
16
0
8
4
4
0
8
33
33
1
1
4
4
16
16
16
8
8
0
0
8
8
0
0
0
16
0
32
61
61
61
16
2
2
2
2
0
0
0
16
0
0
0
16
16
9
8
0
0
0
0
0
16
16
0
0
2
2
2
2
0
4
4
4
0
8
8
0
8
16
16
20
20
16
16
17
16
16
16
16
3
3
4
16
40
16
17
0
0
32
10
16
4
16
0
0
0
16
1
1
0
8
8
0
4
4
4
4
0
16
0
16
16
0
0
0
16
16
20
14
14
8
0
0
0
0
0
0
0
0
16
2
2
2
2
4
8
0
0
0
48
16
16
3
16
16
16
16
0
16
16
16
16
0
16
16
0
0
0
0
0
0
0
0
0
8
16
8
8
4
4
8
0
8
0
8
0
0
32
17
16
16
0
16
8
0
0
8
4
8
8
8
5
21
0
0
0
0
8
36
36
0
0
8
8
16
16
0
32
4
4
4
4
4
4
1
2
0
0
0
0
0
0
0
0
0
0
0
2
2
0
0
0
0
8
0
0
8
8
0
1
8
0
32
16
4
0
16
8
0
28
0
0
16
16
16
0
0
0
0
20
20
0
12
2
1
1
32
32
32
0
16
8
0
16
16
16
16
20
20
4
4
4
4
4
0
0
16
16
16
12
0
2
0
0
0
24
0
8
8
8
8
0
0
0
16
0
0
0
0
8
0
0
17
17
0
16
4
4
16
16
7
7
2
0
2
2
2
8
8
0
49
49
49
16
8
32
32
32
32
8
8
2
2
2
8
0
8
16
16
8
8
2
0
0
0
8
32
32
8
16
16
16
0
16
16
0
16
16
16
8
8
0
44
44
16
16
16
16
16
8
8
8
8
8
16
16
16
0
8
2
0
0
0
0
0
16
8
16
2
2
2
0
8
9
8
0
0
4
0
0
0
16
0
0
24
8
8
0
0
0
16
16
16
1
1
8
30
2
0
0
1
16
16
16
16
16
16
16
0
0
0
0
0
0
8
8
0
0
0
0
4
16
16
16
16
0
0
0
8
13
13
32
32
8
8
0
0
16
16
16
24
24
24
24
16
16
8
0
0
16
24
24
8
8
8
8
8
2
21
21
4
8
8
8
24
24
24
24
24
0
0
21
21
21
12
8
4
0
24
24
24
0
4
25
0
4
32
8
8
0
0
0
4
4
4
4
8
8
8
8
16
0
0
0
4
0
0
0
4
4
16
8
8
4
1
0
0
8
16
32
8
8
4
4
0
0
16
16
41
41
24
0
1
0
0
0
8
8
8
0
0
1
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
4
28
28
16
16
16
4
0
4
1
16
16
8
8
8
0
0
0
16
16
16
0
4
4
2
2
8
0
0
0
1
1
2
2
16
0
2
0
0
8
0
8
8
8
0
16
8
8
4
0
1
0
12
0
16
16
48
0
0
0
1
1
16
9
9
9
0
0
20
8
8
24
0
0
0
16
17
17
2
8
0
4
1
0
16
32
32
32
32
9
9
0
0
0
16
9
0
1
1
1
0
0
8
0
8
16
16
0
0
0
0
0
16
16
0
0
0
0
0
8
4
4
4
0
0
0
0
0
0
12
4
0
16
0
0
0
0
0
8
10
16
16
16
0
16
0
0
0
0
0
0
4
16
16
16
16
16
16
16
0
2
16
16
16
16
0
0
16
1
12
2
1
8
0
0
0
0
0
5
5
5
8
8
0
0
0
0
0
0
0
0
0
0
0
0
8
4
16
16
0
5
5
8
8
8
8
8
8
8
8
8
8
9
8
50
50
50
16
16
16
1
16
16
0
0
0
0
0
8
28
28
28
28
28
28
2
2
0
0
0
0
0
16
2
2
16
16
8
8
9
9
0
18
18
8
16
16
16
8
0
2
8
10
4
8
0
8
8
8
24
24
26
16
8
8
8
8
6
4
0
8
8
8
16
16
1
1
1
1
1
0
8
20
0
0
1
1
1
0
0
16
16
16
16
8
20
20
20
20
20
20
32
0
8
8
8
0
0
0
8
8
8
6
4
4
4
8
8
0
16
8
8
4
4
8
1
16
0
0
0
0
24
24
24
0
24
8
8
0
0
0
2
2
2
17
16
0
0
0
1
24
0
0
0
0
0
0
48
8
8
1
1
16
0
2
0
0
8
8
8
0
0
24
24
24
0
0
0
8
8
16
16
16
16
24
8
8
16
4
4
8
25
8
4
24
24
4
8
1
17
8
6
0
0
8
8
8
8
8
16
8
8
8
1
8
8
16
16
16
4
8
8
1
8
8
1
1
0
0
16
16
16
0
1
1
0
0
0
8
16
12
4
8
1
0
2
8
16
0
0
4
1
8
8
0
0
0
0
0
0
20
20
15
1
17
0
0
0
10
0
0
0
0
0
8
8
1
1
0
0
0
0
16
16
16
16
1
1
8
8
0
0
0
0
32
0
0
32
41
0
1
1
1
8
8
8
16
0
1
8
8
0
16
16
16
0
0
0
0
0
0
1
8
0
0
6
8
8
0
0
8
8
0
24
24
32
0
8
20
8
1
8
16
16
0
0
1
1
1
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
24
24
24
8
8
0
0
0
0
8
0
0
0
0
8
8
8
0
8
8
8
0
2
2
8
24
16
16
16
16
8
8
4
8
8
8
32
32
8
1
1
1
1
1
0
0
32
0
12
8
0
0
24
24
8
0
0
0
0
56
56
56
56
56
4
10
2
1
0
8
4
4
0
0
24
8
8
33
33
1
1
16
16
16
16
16
24
16
16
16
12
8
0
0
0
0
0
0
0
0
0
0
16
0
8
16
16
16
16
16
16
16
16
16
0
2
0
0
16
4
8
16
2
2
2
21
21
0
0
0
0
0
8
8
16
24
24
1
1
0
0
8
16
0
0
0
0
0
0
8
8
18
18
18
0
16
0
8
16
0
12
12
0
16
8
8
8
8
0
0
0
8
0
32
8
8
16
16
16
16
0
0
0
16
16
0
0
0
0
0
0
0
0
0
4
0
16
16
0
0
0
4
4
0
0
2
2
2
2
2
8
8
32
32
12
12
12
12
12
12
0
0
0
16
16
16
16
16
17
33
8
32
32
0
0
0
0
0
16
0
0
24
24
24
24
16
8
8
8
8
8
4
4
4
4
4
4
4
4
24
24
8
8
8
0
0
16
8
0
2
2
2
2
8
24
0
20
20
20
20
20
16
16
16
0
0
0
0
0
0
0
0
40
40
8
8
8
8
8
1
0
16
2
16
16
16
16
2
16
8
8
8
8
8
0
10
10
0
0
8
0
1
1
1
20
2
8
0
21
4
4
8
5
4
4
16
24
0
0
16
0
8
8
8
8
8
8
20
9
22
0
0
0
0
0
0
0
0
8
16
16
16
16
0
0
0
0
8
8
0
0
0
0
0
1
0
0
0
8
8
8
4
4
4
4
16
0
0
8
24
0
0
0
8
0
0
8
8
0
2
2
1
1
1
1
1
0
1
1
24
24
24
8
8
8
0
8
41
4
1
0
32
32
0
0
4
8
8
8
8
8
8
8
8
8
16
0
0
0
2
0
8
1
0
0
0
0
8
8
16
16
16
0
8
8
4
4
0
0
0
0
16
8
8
0
29
29
0
0
2
0
0
0
4
0
0
8
8
8
8
16
0
32
0
0
8
8
8
0
4
8
8
0
0
0
0
0
8
0
0
16
16
0
25
25
25
0
0
32
16
24
8
8
8
8
0
0
0
8
32
32
2
32
8
8
2
2
9
9
16
16
16
16
20
20
16
16
4
8
12
8
8
16
16
16
2
0
0
8
0
8
2
2
2
0
0
16
0
8
8
9
9
8
0
4
4
0
0
8
8
8
8
16
1
1
1
1
2
16
16
16
0
8
8
8
16
16
0
0
16
16
4
4
0
8
0
0
0
32
32
32
9
8
0
0
0
8
56
24
25
25
0
16
1
1
1
0
8
8
8
8
0
0
16
0
8
8
8
8
8
32
32
16
16
16
16
0
0
0
8
0
8
8
2
0
1
1
1
1
1
1
24
24
26
16
16
0
0
20
1
0
0
0
0
0
3
3
3
3
3
0
1
1
2
8
0
0
4
4
1
61
61
4
4
0
0
4
4
4
4
8
8
28
0
16
2
16
0
8
16
8
17
0
0
0
0
32
8
8
8
8
0
8
2
0
0
0
0
0
16
0
16
0
0
16
0
0
0
8
8
8
8
8
8
0
0
0
16
16
8
8
4
4
16
8
8
8
0
4
16
8
8
0
0
0
8
0
0
0
24
24
0
0
8
0
0
0
8
0
0
0
24
2
2
2
2
2
2
16
8
16
0
0
16
16
8
16
16
16
8
1
8
0
0
16
8
8
8
1
1
1
1
4
4
8
8
0
24
24
24
24
24
24
0
0
0
0
10
0
0
0
16
4
4
44
44
44
0
2
0
8
0
0
24
0
0
1
1
16
16
16
16
4
0
0
0
0
8
8
16
16
16
16
16
24
24
0
0
16
16
8
8
24
16
0
1
1
0
0
0
0
0
0
8
16
16
16
16
16
0
0
24
24
24
8
18
26
18
26
8
0
0
0
0
8
0
0
0
0
0
16
16
16
2
2
12
12
12
16
16
16
16
16
16
16
16
16
16
16
0
8
0
1
0
16
16
8
8
8
8
0
8
8
8
8
4
2
8
8
16
16
16
8
0
1
16
16
0
0
0
0
0
2
2
2
2
2
2
16
8
0
0
16
0
0
0
0
0
0
8
0
0
4
0
0
0
12
0
0
0
16
16
16
0
8
8
8
8
8
24
24
0
12
0
8
0
0
8
8
0
0
0
0
4
4
4
32
24
24
24
24
24
0
8
8
0
8
0
4
4
8
8
8
4
4
4
32
8
0
0
0
0
0
0
8
0
0
0
8
8
8
8
16
16
16
16
0
0
0
0
8
32
0
8
4
4
4
4
8
8
8
8
0
0
0
16
8
8
2
0
0
0
1
1
8
8
8
8
8
0
0
8
8
8
8
8
8
16
0
0
0
0
0
8
16
2
2
4
8
8
8
16
16
33
33
8
16
16
16
16
16
16
16
8
0
16
16
16
3
16
0
57
57
16
8
9
0
0
16
16
16
0
0
16
16
16
16
4
4
0
8
24
24
44
8
2
2
2
0
0
0
0
0
0
40
0
0
0
8
0
0
0
0
0
9
9
9
16
16
8
16
16
16
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
2
16
18
16
16
0
24
24
0
0
16
16
16
16
8
8
1
1
1
8
0
0
0
0
0
0
8
0
0
0
0
0
0
4
8
0
8
12
0
0
1
0
0
0
0
0
0
8
10
10
8
0
40
0
0
0
4
4
16
16
62
8
8
4
4
4
1
8
16
8
8
8
8
8
8
8
8
8
16
0
16
8
8
8
8
0
16
16
0
16
16
16
8
8
0
8
8
8
10
16
3
0
0
0
4
4
8
8
8
8
0
8
8
24
0
0
0
0
8
8
8
8
8
32
32
32
32
32
1
0
8
16
16
16
16
2
2
8
8
8
8
0
4
4
4
0
0
0
0
0
0
0
8
8
8
4
16
16
0
0
0
2
8
8
16
16
16
16
16
16
16
0
0
8
0
0
0
0
0
0
0
0
32
32
0
16
16
8
8
8
8
1
8
8
8
0
0
0
8
8
8
8
8
8
8
0
0
0
32
1
8
16
0
8
32
16
16
0
0
0
0
4
4
4
16
16
16
16
16
8
0
0
0
0
16
16
1
0
0
0
2
2
0
0
9
2
2
2
2
16
16
16
0
34
2
2
2
8
53
25
4
4
4
4
0
8
8
24
0
0
0
0
16
24
24
0
0
24
1
0
0
8
8
8
0
0
0
24
24
24
9
0
0
0
8
8
8
56
56
4
4
4
0
0
0
0
16
4
0
0
0
0
0
8
16
8
8
8
32
32
0
12
28
0
0
22
22
22
0
0
0
0
8
16
16
16
16
16
16
8
9
9
0
0
0
4
24
16
16
0
0
0
8
8
8
1
1
4
16
16
16
24
24
24
24
24
8
8
8
8
1
4
4
16
16
16
0
0
0
0
0
0
0
16
16
16
16
16
0
0
0
0
0
0
0
16
16
16
8
0
1
8
8
8
0
8
0
0
0
16
1
0
16
4
4
4
4
0
24
2
2
2
0
0
0
0
0
0
0
8
0
4
4
4
0
0
0
0
8
0
24
16
0
4
4
4
8
8
0
16
0
0
62
8
8
8
0
16
0
8
0
16
16
16
16
16
16
16
24
16
8
8
2
2
0
0
4
0
8
16
16
16
16
8
0
0
0
0
0
0
8
8
0
36
0
16
16
16
0
8
8
0
8
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
12
8
0
0
0
0
0
4
4
0
16
8
8
16
8
0
0
0
0
8
8
8
8
8
16
16
16
16
16
0
0
0
2
2
0
16
2
16
0
16
16
16
4
4
4
16
16
16
32
32
8
16
0
8
11
18
18
18
18
18
0
8
8
0
16
16
16
16
16
16
2
0
0
8
0
1
0
17
0
0
0
0
0
0
0
8
8
8
16
2
2
0
8
16
4
4
0
4
1
0
24
5
4
5
5
5
5
5
5
16
16
0
14
8
0
16
2
0
0
8
6
0
0
0
0
0
3
2
2
0
0
0
0
16
16
16
8
16
16
16
16
16
16
16
20
0
0
0
0
0
32
0
8
8
16
16
0
0
0
0
0
0
8
16
16
10
10
10
0
0
0
0
0
0
20
16
4
4
4
16
16
16
16
1
1
0
32
32
32
4
4
14
14
0
16
0
0
0
0
24
0
16
8
16
16
16
16
16
16
16
4
4
4
0
0
0
0
0
0
8
8
8
25
25
16
2
2
2
2
0
8
16
1
8
8
8
44
32
0
16
16
10
10
8
4
4
4
4
1
0
12
12
16
0
8
8
18
18
8
8
8
8
8
8
8
8
0
24
0
0
0
0
4
4
4
0
0
0
2
2
2
2
2
2
2
2
2
2
0
0
0
16
16
16
16
2
2
2
8
8
8
24
8
8
8
8
8
8
8
16
0
18
16
16
16
16
0
0
0
8
8
16
16
0
8
16
16
16
0
0
0
0
0
0
16
16
1
1
8
0
0
2
2
2
1
1
1
16
0
0
0
4
4
4
4
4
4
8
0
0
8
0
16
0
2
16
18
0
1
8
8
8
8
8
4
4
2
50
16
0
0
0
0
16
16
16
16
0
0
0
4
4
4
8
8
8
8
8
8
8
8
0
0
1
1
1
8
8
8
8
8
32
8
8
8
8
8
8
4
4
16
4
24
24
0
0
0
40
40
32
0
0
8
28
16
36
8
4
4
16
8
0
8
16
16
16
16
0
16
16
2
0
0
0
2
2
0
1
9
0
0
32
0
8
4
4
0
32
2
8
8
8
8
8
8
0
0
0
16
1
1
58
1
1
1
16
16
16
16
8
10
0
0
0
16
0
0
0
0
0
1
1
1
0
0
0
0
0
16
16
16
16
16
8
1
1
8
8
8
4
0
0
1
0
8
8
8
8
8
8
8
8
8
16
16
40
8
32
32
2
34
32
32
32
16
16
16
0
8
8
8
8
17
0
32
8
2
2
2
16
16
8
8
0
24
16
16
8
4
0
0
0
32
8
0
0
0
2
0
0
32
33
8
8
8
0
0
16
16
16
4
2
5
5
5
4
4
4
4
4
8
8
8
8
0
0
2
2
8
16
16
16
1
1
1
1
8
8
16
8
40
2
2
0
0
0
0
8
8
0
0
2
2
0
0
0
0
0
0
0
0
0
0
0
8
8
8
1
1
1
8
8
8
8
8
0
0
32
32
0
16
0
8
8
8
8
0
16
16
8
8
8
8
8
4
0
0
8
8
0
8
0
4
0
32
32
16
16
16
0
16
16
24
4
16
16
16
0
0
0
12
8
24
1
0
32
8
8
8
0
0
0
8
8
8
0
0
0
16
16
0
0
0
0
1
0
0
0
0
0
0
16
1
1
36
36
8
2
0
5
16
16
16
0
0
0
0
16
8
0
16
0
1
0
16
0
16
2
2
8
1
0
8
1
8
16
0
20
8
0
0
8
0
16
16
16
0
0
24
24
0
0
8
0
2
32
16
16
16
8
8
0
4
44
44
44
16
16
16
4
8
8
0
0
0
4
30
30
2
2
4
0
0
16
16
8
0
0
0
0
0
32
40
0
0
24
0
16
16
24
24
24
0
0
0
0
0
0
0
4
48
48
0
8
1
16
0
16
16
16
16
16
16
1
1
1
1
1
8
8
32
32
32
32
0
0
0
0
8
16
0
16
16
8
8
12
12
12
12
0
1
0
0
1
0
0
17
17
8
8
8
4
4
4
0
0
0
0
8
8
28
16
0
8
8
8
8
8
4
4
37
0
12
12
8
8
21
4
16
0
8
8
0
20
20
20
8
30
2
0
4
0
1
1
0
24
24
16
16
16
16
8
0
1
2
2
2
0
0
0
0
0
0
4
8
8
8
16
16
16
1
1
1
1
1
1
8
0
4
24
8
17
1
1
0
0
0
0
0
16
16
16
0
8
8
4
16
16
16
8
32
32
32
32
8
0
4
4
8
1
1
0
0
0
8
8
0
0
4
4
21
8
8
8
8
8
8
8
8
8
8
0
0
8
8
8
8
18
18
16
1
1
2
2
16
16
0
1
16
1
1
1
1
0
0
0
16
20
0
1
16
16
8
0
8
8
4
4
4
1
16
0
24
16
0
0
0
2
8
0
0
0
0
0
0
51
32
32
16
8
8
8
8
8
26
8
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
8
0
16
16
16
16
16
0
0
2
0
0
0
0
0
20
8
8
8
8
0
20
20
0
0
0
0
1
1
0
0
0
0
8
0
4
4
0
24
24
24
24
24
24
0
16
1
4
4
4
4
4
8
8
0
30
0
24
24
8
16
16
16
0
0
16
16
0
0
0
16
16
16
16
1
8
8
16
16
8
8
8
8
0
0
0
32
32
9
8
0
0
20
16
1
0
0
0
0
8
16
16
0
0
8
2
2
2
0
20
24
16
0
0
0
32
40
1
1
2
0
0
16
24
48
48
8
2
8
8
0
0
0
8
8
16
1
1
1
8
8
4
4
4
4
16
20
2
2
2
2
8
8
16
8
0
16
16
16
1
1
0
0
0
16
8
8
8
8
8
16
8
0
0
0
0
0
0
0
0
8
8
8
8
8
16
16
16
2
2
2
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
20
4
8
8
18
8
9
8
8
16
16
16
0
0
0
16
16
16
8
16
1
1
0
5
5
8
8
0
0
0
0
16
8
0
0
5
16
0
0
0
0
0
0
0
0
5
5
8
0
0
0
0
0
16
16
15
0
0
8
1
1
1
0
0
0
8
8
0
0
8
0
0
0
0
0
0
0
0
0
16
0
8
8
16
4
4
4
8
8
8
8
0
16
8
8
8
12
12
12
10
10
8
0
0
0
0
0
0
0
3
3
8
0
0
0
16
16
16
9
9
8
8
8
8
8
8
32
32
1
8
4
4
16
0
4
32
32
12
0
8
0
0
16
8
8
8
8
8
8
16
8
8
8
2
2
8
2
2
2
0
0
16
0
0
0
4
16
16
0
0
16
16
16
16
0
0
0
0
16
16
16
16
16
16
16
16
16
24
32
4
4
2
8
8
0
8
8
0
8
0
0
0
1
1
0
16
8
8
16
16
16
16
16
8
0
16
16
16
8
8
8
8
8
0
0
0
0
4
8
1
1
1
24
24
0
1
0
8
8
18
18
8
8
0
0
0
8
0
24
0
0
8
1
1
16
16
16
8
8
0
0
0
0
24
0
0
0
0
12
12
0
0
2
16
8
8
8
0
0
8
8
8
8
8
9
9
8
8
0
0
0
0
0
3
0
4
4
0
0
0
0
0
49
49
0
8
8
0
4
18
24
0
0
0
1
1
1
2
0
8
8
0
0
0
0
4
8
8
8
8
8
8
8
0
0
16
8
56
56
8
16
0
16
32
8
8
0
0
0
16
2
22
22
22
22
0
0
16
16
4
4
0
0
0
0
8
1
1
1
1
1
1
1
0
0
0
0
24
24
48
0
0
0
0
0
0
0
16
0
0
8
8
0
16
16
16
8
8
16
8
8
16
16
8
4
24
16
0
0
0
0
0
0
0
0
16
16
16
16
16
16
16
2
0
0
1
2
2
2
0
24
0
16
16
17
0
18
18
18
18
18
16
16
16
16
1
1
1
16
16
16
3
1
0
4
1
22
22
0
0
0
0
0
1
8
8
4
0
0
1
1
1
1
8
8
0
0
0
0
0
16
16
4
4
4
8
8
8
8
8
0
0
0
0
16
16
16
5
0
2
2
1
24
0
0
8
8
8
8
4
4
4
0
0
0
8
8
0
16
8
16
11
11
16
16
16
0
0
0
0
0
0
10
2
2
0
8
0
8
8
0
0
0
0
0
8
9
8
0
0
0
0
0
4
0
16
16
18
16
16
8
0
16
16
8
8
16
16
12
4
4
4
0
8
8
16
16
16
16
16
16
16
16
8
4
4
8
0
0
0
0
8
8
0
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
16
0
0
1
16
16
16
16
16
16
16
0
16
0
8
16
4
4
16
16
0
0
8
0
0
0
0
0
0
8
8
8
8
8
8
8
16
16
0
0
24
8
0
0
0
0
8
4
16
1
1
1
1
8
8
0
0
0
0
0
34
50
50
16
16
16
1
0
0
16
16
4
9
9
8
24
0
0
8
0
1
1
4
0
0
0
0
16
6
0
8
8
8
8
8
8
0
16
16
16
8
8
36
36
36
32
0
24
8
8
8
0
0
0
16
0
0
8
0
1
12
8
8
4
16
0
0
8
4
0
0
0
0
0
0
4
8
8
4
4
4
24
8
8
0
2
2
2
2
0
0
16
16
8
8
16
16
2
2
0
0
0
8
0
0
1
1
1
2
2
1
8
8
8
2
0
0
0
4
4
4
32
8
2
2
8
0
0
0
8
16
16
4
16
16
2
0
0
8
8
8
8
8
8
16
16
8
16
16
8
8
0
16
16
0
8
8
0
0
8
0
8
16
8
4
0
1
1
0
0
8
8
8
8
16
16
16
16
16
0
0
0
0
0
0
0
0
16
8
24
18
0
0
0
1
1
1
0
1
8
8
8
8
0
0
0
0
0
8
8
25
8
2
0
0
8
8
8
32
32
8
8
8
8
0
0
3
0
16
16
16
0
8
0
0
8
12
16
8
24
24
24
4
0
8
8
4
4
4
40
16
0
0
8
0
0
0
0
0
32
32
8
4
0
0
8
0
16
16
8
0
4
0
9
9
46
4
4
1
20
20
16
16
16
16
16
8
0
8
0
1
10
0
0
0
4
4
4
4
8
8
8
8
8
4
24
8
8
2
1
4
4
2
0
1
0
0
0
0
0
0
24
2
2
2
12
0
2
16
16
8
32
32
32
0
0
8
16
1
1
1
8
0
24
16
48
48
28
28
8
8
8
8
0
0
8
40
0
0
0
0
17
0
2
8
16
8
8
16
16
16
16
0
16
16
0
0
0
0
0
0
0
16
16
0
0
4
4
4
4
9
16
16
16
20
0
8
8
0
0
8
8
8
8
8
20
8
16
8
8
0
9
8
8
8
8
8
8
17
0
0
4
0
8
8
0
16
16
0
0
8
8
0
0
0
16
16
16
32
8
16
16
16
16
16
0
26
26
26
0
8
8
8
8
8
8
16
1
4
4
4
4
0
16
4
16
16
16
16
0
0
16
16
0
8
8
8
8
8
4
4
4
16
16
16
0
0
0
0
0
8
8
8
8
8
8
1
16
16
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
5
5
0
16
16
16
16
16
16
0
0
0
18
18
6
0
16
16
0
16
0
0
0
16
16
0
0
0
1
1
16
16
18
8
8
0
32
32
32
8
8
8
8
8
8
8
16
16
2
2
2
28
28
0
1
2
2
2
52
52
0
16
18
0
28
0
0
16
16
8
16
24
16
0
0
16
0
8
0
8
8
0
0
0
18
8
0
0
16
16
24
24
16
16
16
8
24
0
8
8
8
16
16
16
16
16
16
8
16
4
4
4
1
0
0
16
0
16
16
1
1
0
8
16
24
24
24
0
0
0
16
8
0
8
8
8
8
8
8
8
8
8
62
62
4
32
4
4
13
4
4
16
16
16
16
16
8
20
20
20
20
16
16
16
4
16
16
8
8
8
8
8
8
8
8
8
0
0
26
2
2
8
4
8
8
8
17
17
17
17
2
16
0
0
8
8
8
32
32
2
2
2
9
0
0
0
0
1
4
0
0
16
8
8
0
4
4
4
0
0
0
2
0
0
8
16
8
16
4
0
0
0
0
8
8
0
8
8
8
8
8
8
8
8
8
0
0
16
16
16
16
0
0
0
0
16
8
16
16
16
2
1
1
0
0
16
32
32
32
32
32
0
1
1
16
16
8
8
56
56
0
8
8
8
8
8
8
8
0
0
4
17
18
18
18
0
1
32
0
0
0
4
4
8
8
0
0
8
8
16
16
16
9
32
32
32
0
0
0
32
0
1
0
0
0
0
0
0
0
0
4
4
4
0
16
6
4
32
32
0
16
8
8
0
8
8
8
0
8
0
0
8
0
0
0
0
4
4
4
4
4
4
8
0
0
8
16
16
16
16
16
16
5
1
8
4
4
8
0
0
8
8
16
0
0
0
0
4
8
16
1
1
1
1
0
0
0
8
16
16
16
16
16
8
53
16
4
32
0
1
1
1
1
28
8
8
8
8
8
8
8
0
0
8
8
2
1
1
1
1
0
56
8
16
16
16
4
4
2
4
4
0
8
8
8
2
8
0
4
8
32
0
8
8
0
0
0
0
8
8
9
9
9
9
9
0
16
16
16
0
0
0
0
8
57
8
8
0
0
0
0
0
0
16
16
16
16
8
0
8
8
4
8
8
8
8
8
0
0
0
1
1
0
0
16
16
16
16
16
8
6
6
2
0
8
8
8
16
8
8
8
8
9
8
8
8
16
16
4
4
4
8
48
48
1
1
1
8
8
0
0
0
0
8
0
8
8
8
8
8
0
24
24
24
0
8
16
16
16
16
16
16
8
48
0
0
0
0
0
16
16
16
16
16
16
16
16
16
16
16
8
8
16
8
0
16
1
1
1
0
16
16
2
2
0
0
8
8
16
8
8
0
0
0
44
48
48
0
16
16
16
16
16
16
16
16
16
8
8
2
0
8
16
0
0
0
0
0
0
1
1
4
4
4
4
4
8
4
4
9
2
2
2
20
20
0
0
0
0
0
8
1
16
16
0
0
0
0
0
0
0
1
1
1
8
8
16
8
16
0
0
0
0
5
8
4
4
47
18
0
0
0
0
5
5
0
0
0
0
0
0
0
16
16
16
16
16
0
16
0
16
16
8
16
0
0
0
0
0
16
8
8
18
8
8
8
8
8
8
8
8
8
8
4
8
8
0
0
4
4
8
24
24
0
16
16
16
16
1
16
16
16
9
0
4
8
8
16
0
0
0
0
0
16
16
16
0
0
0
0
0
8
8
40
16
8
8
4
0
0
32
8
1
1
1
1
1
1
1
1
1
1
8
8
8
8
0
4
4
4
24
24
8
0
0
0
8
2
8
16
16
12
12
8
0
18
0
0
8
16
16
3
0
0
20
20
20
20
20
0
0
8
8
8
8
4
0
0
2
2
0
0
24
24
24
0
0
1
8
8
8
8
16
16
16
16
16
4
4
8
2
16
8
8
8
8
25
0
8
8
8
8
8
8
8
8
8
8
8
8
16
0
1
1
0
0
32
40
0
0
8
4
18
2
2
2
2
32
8
8
8
32
17
1
1
1
8
12
8
33
1
1
16
16
16
2
8
0
0
8
16
0
0
0
0
8
0
16
16
0
0
0
0
0
0
0
0
8
8
40
32
0
16
17
0
0
8
8
9
9
0
16
0
16
16
16
16
16
16
16
0
0
0
16
16
0
0
0
0
0
8
8
1
8
0
0
0
32
32
32
0
24
24
24
24
0
0
24
24
0
8
0
0
8
0
8
0
24
16
26
16
16
16
9
9
13
8
0
0
0
8
0
0
0
1
2
2
2
8
0
20
20
2
2
16
8
2
0
1
1
0
16
16
8
8
0
4
4
16
0
1
0
0
0
0
8
8
8
11
16
16
8
0
0
0
0
0
14
14
14
16
16
16
20
20
8
0
0
16
0
0
0
16
1
0
16
16
8
8
8
8
16
16
16
8
48
32
0
0
0
0
16
0
0
0
28
8
8
0
0
0
8
16
16
0
0
4
0
0
2
2
2
16
0
30
20
20
19
19
2
2
2
8
4
4
4
0
16
8
0
2
4
4
4
16
40
40
40
17
17
17
17
17
16
16
0
0
0
0
1
1
1
24
9
1
1
1
0
0
0
0
3
1
1
28
8
16
16
24
0
0
0
16
2
8
8
4
20
20
8
0
0
4
4
8
8
8
8
0
0
0
8
8
16
16
16
16
0
0
0
0
0
16
16
8
16
16
8
8
8
16
16
8
8
8
8
8
8
24
0
0
0
0
0
0
1
0
0
0
8
9
0
0
0
0
0
8
8
8
4
4
4
0
0
4
4
0
12
12
12
0
0
0
0
16
8
0
0
0
0
0
16
16
16
0
0
8
8
0
0
0
0
0
0
0
0
8
8
21
8
8
8
8
0
0
8
8
16
0
0
0
0
0
0
24
24
24
24
0
16
0
0
0
2
2
2
0
0
1
0
0
0
0
0
8
16
16
0
0
0
0
0
8
0
8
8
16
16
0
0
0
0
4
4
4
4
0
12
0
2
2
2
0
0
0
0
0
0
0
4
4
18
18
16
16
16
0
8
1
17
8
8
8
8
20
20
16
8
8
8
0
8
0
25
25
25
1
0
1
32
17
0
0
0
0
0
0
8
8
8
0
4
8
8
8
56
16
8
0
0
0
16
2
2
2
0
0
0
0
0
0
0
0
0
0
16
16
16
20
16
16
8
8
1
0
8
8
8
4
16
16
0
8
16
4
0
0
8
4
16
2
2
2
8
0
17
0
16
16
16
0
0
0
4
4
4
16
16
18
18
8
8
25
25
16
0
0
0
0
0
24
24
0
8
14
4
4
16
32
32
32
1
1
1
0
0
0
8
8
8
6
4
4
4
8
16
8
0
32
32
32
32
0
0
0
16
16
16
16
1
1
0
4
0
2
2
32
32
17
0
0
8
8
8
0
1
1
1
0
0
0
0
16
8
8
8
8
8
8
0
16
16
8
16
16
2
20
0
0
1
1
9
1
1
1
1
16
16
16
16
16
4
4
4
16
16
4
4
8
2
2
2
1
1
1
32
0
16
16
8
16
16
16
16
0
0
4
4
0
0
0
8
0
0
0
4
4
8
8
0
0
0
8
8
8
8
0
0
0
0
1
1
8
8
0
0
36
0
0
4
16
4
1
48
2
0
0
0
0
8
32
32
32
16
16
16
16
16
4
4
16
16
16
16
16
6
6
6
6
4
1
1
0
0
0
0
4
4
16
16
0
32
32
37
16
0
0
0
8
0
0
4
4
24
8
8
8
18
0
0
0
8
8
8
0
0
8
8
8
8
0
0
1
1
1
1
0
0
40
32
32
32
4
2
4
0
24
24
24
24
24
24
24
8
8
2
0
17
32
8
8
8
8
16
16
16
4
8
8
8
32
0
0
8
0
1
1
1
1
16
0
0
0
0
0
0
0
0
10
0
16
16
0
0
16
8
24
24
16
16
16
16
16
16
0
0
0
8
16
16
16
16
16
8
8
8
8
8
0
16
16
16
16
8
8
8
0
32
0
0
0
0
0
0
0
0
4
4
4
4
0
0
0
0
1
1
0
0
0
0
3
16
24
2
8
8
8
8
16
24
1
1
8
8
0
16
16
16
16
16
16
0
0
0
20
20
0
4
4
16
0
0
6
8
8
8
16
16
16
16
16
16
16
16
16
2
32
32
32
4
18
18
4
24
16
16
16
16
16
16
0
0
0
0
0
0
8
8
4
4
0
4
8
0
2
0
8
28
16
16
8
16
16
16
16
16
8
0
0
0
0
0
0
0
44
44
4
4
16
4
4
4
4
4
4
4
4
0
0
6
8
8
8
8
0
12
12
12
12
32
4
4
0
32
32
32
8
32
32
16
16
1
1
0
0
0
0
0
0
16
16
8
0
32
32
8
8
8
8
16
12
12
12
12
12
16
16
8
0
0
0
0
0
0
0
0
0
0
1
4
4
44
16
2
8
8
8
8
0
16
16
0
0
24
16
8
8
8
8
16
16
24
0
0
0
16
16
1
8
8
8
8
0
11
11
11
11
11
16
16
8
8
1
0
0
0
0
28
4
4
0
16
16
16
8
8
16
16
0
4
0
2
2
0
0
0
0
0
6
6
6
8
8
18
18
0
16
0
0
2
0
8
0
0
8
0
0
0
1
8
8
8
8
2
2
24
16
16
0
37
37
41
41
41
41
0
16
8
8
0
57
0
40
40
16
16
20
4
24
8
16
16
16
0
0
16
8
8
8
4
8
8
8
8
8
0
0
4
0
0
0
0
0
20
0
16
1
1
1
1
0
6
16
8
8
8
8
4
4
4
0
0
0
0
12
36
36
36
0
0
16
54
20
24
0
0
0
40
40
8
0
4
4
4
16
16
16
0
0
0
1
1
32
16
16
16
0
4
0
3
8
2
2
0
0
0
0
0
0
0
16
16
9
8
0
8
16
16
10
0
0
0
8
8
0
0
0
54
2
2
17
17
16
16
25
9
0
0
8
8
8
8
8
20
8
8
0
2
2
2
2
0
0
0
16
1
8
0
17
8
0
0
0
0
0
8
1
1
1
4
4
24
0
32
32
32
32
0
14
14
8
8
8
8
8
16
16
16
16
16
16
0
0
0
0
1
2
0
0
0
0
0
8
30
30
16
0
16
0
0
16
0
4
4
22
16
0
0
16
16
16
8
8
2
2
0
9
16
32
8
8
0
0
8
1
8
2
2
0
0
0
16
16
16
16
0
0
24
8
16
16
16
16
16
8
4
6
24
24
24
0
0
8
8
8
0
4
4
4
4
8
8
0
8
8
8
16
16
8
8
16
16
16
16
16
0
0
0
9
9
9
9
18
18
8
16
16
8
8
8
8
8
32
0
0
0
0
0
0
0
8
1
1
8
0
16
0
8
8
16
16
25
8
0
0
0
16
32
0
0
0
0
0
0
0
8
16
16
16
8
8
8
8
10
8
0
10
0
8
8
16
16
16
26
8
8
22
4
4
16
16
16
16
16
0
0
0
28
16
0
0
16
16
0
0
4
4
6
6
0
8
8
1
1
8
0
0
2
2
16
8
8
0
16
16
16
16
2
0
8
8
0
16
16
16
0
0
0
0
16
1
1
0
4
4
4
4
4
9
62
1
0
0
24
20
20
20
0
16
16
0
16
16
16
0
16
0
8
0
0
0
0
0
16
4
4
0
0
8
8
24
0
8
8
8
8
8
0
1
0
9
9
17
1
1
1
0
18
0
8
8
8
0
16
0
0
0
0
0
0
8
0
0
0
0
0
12
8
2
0
1
0
0
0
0
16
0
16
16
12
16
16
16
8
32
0
0
0
8
4
4
0
0
0
0
0
0
0
16
40
8
0
16
16
16
25
8
8
8
8
8
8
8
8
8
8
1
8
8
8
8
8
8
8
8
8
8
16
1
1
1
18
8
8
8
8
8
0
0
0
0
0
8
8
8
0
0
0
4
0
24
24
24
16
8
8
8
8
0
0
0
17
16
8
8
0
0
0
8
0
9
9
2
16
16
16
16
16
16
16
4
4
0
0
0
0
0
0
8
8
8
8
0
0
16
36
0
0
8
8
8
8
23
23
0
4
4
12
12
5
34
0
0
0
0
0
4
4
4
4
4
0
0
0
8
8
8
24
0
40
16
16
0
16
0
0
0
40
8
8
8
0
0
16
16
49
49
49
0
0
16
4
4
4
4
4
4
0
32
32
0
4
4
4
4
20
20
20
0
8
8
8
0
32
0
8
12
16
14
0
0
0
0
4
4
4
0
8
8
10
32
0
0
8
8
8
8
8
8
0
2
2
1
16
2
2
2
0
0
0
0
0
0
0
0
0
0
0
16
16
6
1
0
0
0
10
2
16
16
16
16
16
8
8
8
8
8
8
8
16
0
0
24
24
16
0
0
8
8
0
0
4
0
0
8
8
8
8
8
16
44
44
8
2
0
0
0
0
4
4
0
0
0
0
32
16
16
2
0
0
16
16
16
0
8
2
25
25
2
2
2
2
2
16
8
8
8
0
0
0
8
1
16
0
0
0
0
0
8
16
0
32
2
2
0
8
0
0
0
0
1
16
0
8
8
1
24
24
16
16
16
16
16
16
8
8
8
8
8
8
16
16
0
0
0
0
8
8
1
1
1
1
8
0
0
32
32
1
18
0
0
0
1
1
1
16
8
8
0
0
2
2
12
8
16
1
1
32
32
8
8
2
2
16
16
2
2
6
0
2
2
2
0
0
0
0
0
8
8
8
8
8
0
0
12
16
4
4
4
16
16
2
2
0
0
0
8
8
4
0
0
0
0
8
4
4
4
4
4
4
0
0
1
1
0
0
8
1
0
0
0
0
2
2
8
8
16
16
1
1
1
8
1
1
6
8
8
8
8
0
4
0
8
10
17
0
0
8
0
8
0
0
1
1
0
0
0
0
0
16
0
0
1
8
8
0
0
8
8
16
16
16
8
0
0
8
8
1
1
1
0
0
0
8
0
0
0
16
0
0
8
8
0
35
16
1
1
1
1
1
0
0
0
0
0
0
0
0
1
0
0
8
0
2
8
2
2
2
2
2
0
7
1
8
0
40
1
16
16
16
17
16
16
16
16
24
8
4
0
16
16
8
16
16
8
8
0
0
0
0
0
0
0
8
2
26
0
13
8
0
0
16
16
12
0
0
0
0
0
0
0
16
0
0
8
8
8
8
8
8
8
0
0
0
16
1
1
0
0
0
0
16
16
0
0
4
4
0
8
8
8
9
4
4
4
4
0
8
8
0
0
0
4
0
0
8
8
8
0
0
0
8
25
25
10
4
4
0
16
16
8
8
8
24
16
0
0
1
0
10
0
0
1
1
0
0
29
16
0
0
0
0
16
0
0
27
18
8
8
8
0
24
0
8
4
16
0
0
0
0
0
0
0
0
8
8
0
0
0
2
2
0
20
0
0
0
0
0
0
16
16
16
2
16
0
0
0
0
0
8
8
0
0
0
0
16
4
4
10
0
0
0
0
8
8
0
0
0
4
8
0
0
2
4
0
8
0
0
0
8
8
8
8
8
1
1
16
8
16
0
0
0
0
2
8
8
0
0
0
24
0
1
2
0
0
0
0
32
10
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
18
0
0
0
0
1
0
0
0
0
8
16
0
0
0
0
0
0
0
0
0
8
0
8
0
0
0
0
0
0
0
0
0
0
0
40
40
0
16
16
0
0
0
24
24
0
0
8
0
0
0
16
0
0
12
10
0
2
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
2
2
2
0
0
56
8
8
16
0
0
41
41
0
0
16
0
0
0
0
0
0
0
0
0
8
13
2
2
0
0
0
0
0
17
17
8
0
4
0
0
0
8
0
0
0
0
0
0
0
8
0
16
0
1
4
4
0
0
0
0
0
0
1
1
0
0
8
8
0
0
8
0
0
0
0
0
0
4
4
0
0
8
8
16
16
0
24
26
0
0
0
16
0
8
0
16
16
0
18
18
1
0
0
16
4
8
0
0
8
8
0
2
0
8
16
0
0
0
0
1
0
0
24
0
0
16
0
0
0
0
0
0
24
20
23
8
8
8
0
24
0
0
0
0
0
8
28
0
2
2
0
0
0
0
0
2
0
0
0
2
0
0
2
0
0
0
0
0
0
0
16
0
0
0
0
1
0
4
0
0
1
1
2
0
0
0
16
0
0
8
0
0
0
0
0
0
43
0
0
0
0
8
0
16
16
0
0
0
0
0
0
4
4
0
0
32
0
1
0
0
0
16
0
0
33
33
16
6
0
0
0
0
0
0
0
0
0
0
0
8
0
8
2
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
8
2
0
8
0
0
0
16
8
8
17
0
0
2
0
0
0
0
16
0
0
0
0
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
8
0
0
0
16
16
0
0
24
16
0
0
16
0
0
0
0
0
0
12
12
0
16
0
1
8
8
4
0
32
0
0
0
0
2
0
0
0
0
0
4
8
8
0
33
0
0
0
0
0
8
0
16
8
0
0
0
0
2
0
13
13
0
0
0
0
0
0
0
0
0
0
0
0
50
16
16
16
0
0
8
8
8
8
8
8
8
8
8
8
0
24
0
0
16
0
0
16
2
17
0
0
0
0
0
0
8
32
4
4
0
0
0
0
16
16
8
0
0
0
0
0
0
0
0
8
8
0
0
8
8
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
8
17
24
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
8
0
0
0
0
0
0
17
12
0
16
0
0
40
0
0
0
0
0
0
4
16
12
12
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
8
8
8
8
8
8
8
0
8
32
8
0
8
0
16
16
0
0
0
0
0
0
0
0
0
0
1
0
0
0
8
0
0
8
0
0
8
0
0
0
0
0
0
16
16
16
16
4
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
4
24
24
0
4
4
4
4
0
0
16
16
8
0
0
0
12
12
0
0
0
0
0
8
0
8
0
0
3
8
8
0
20
8
40
40
33
0
0
1
0
0
0
0
0
0
8
8
8
8
1
2
1
0
0
24
24
8
0
0
0
4
16
16
16
16
16
16
0
0
16
16
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
8
2
2
6
0
0
0
0
0
0
0
0
18
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
8
8
8
8
16
16
0
0
0
0
0
8
0
32
8
0
0
0
0
19
0
0
0
4
0
0
0
0
0
0
16
0
0
16
0
33
0
0
0
24
24
0
0
0
0
0
8
0
0
0
0
8
4
0
0
0
0
0
0
0
0
0
0
0
6
4
0
0
0
0
8
24
8
0
0
0
16
0
0
0
0
0
0
8
8
0
8
0
0
12
0
0
0
0
0
0
4
0
8
8
0
0
0
14
0
0
16
0
0
6
0
0
0
4
0
0
0
0
2
2
2
0
0
16
0
0
1
0
0
0
2
2
2
2
8
8
0
16
16
16
0
0
0
0
0
8
0
0
0
16
16
8
0
0
16
2
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
2
0
0
0
1
8
0
0
0
0
8
8
8
8
24
2
0
0
0
0
8
8
8
8
0
0
0
0
0
0
16
16
56
24
24
24
0
6
0
0
0
8
0
16
16
4
0
0
0
12
0
0
16
0
0
1
1
0
0
0
0
26
8
1
1
1
2
2
8
0
0
0
8
2
8
8
0
0
0
0
0
0
8
16
0
0
0
0
0
2
2
0
0
0
20
8
0
0
0
16
16
16
0
0
0
16
0
0
4
24
6
2
8
8
0
4
4
0
0
0
16
16
0
0
8
8
8
8
0
0
0
0
0
8
0
0
32
0
0
0
0
0
0
0
2
8
0
0
0
0
0
8
0
8
0
16
0
0
0
4
0
0
16
16
0
0
24
12
16
16
16
16
0
20
4
4
10
4
4
0
0
0
0
0
0
39
4
4
16
16
1
0
0
8
8
4
16
0
0
16
16
0
0
0
16
16
16
2
2
16
0
0
0
0
0
8
0
4
4
4
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
32
32
0
4
4
1
0
4
0
8
8
0
0
2
0
8
8
0
0
0
0
24
8
8
16
16
8
8
0
2
2
4
4
0
0
4
0
8
4
8
8
16
0
0
0
0
8
8
1
1
1
0
0
0
4
0
0
16
0
0
0
2
29
0
0
0
0
0
8
0
16
16
0
0
22
8
16
28
8
0
8
13
4
0
0
0
4
0
0
0
0
0
0
0
2
0
0
16
0
8
0
8
8
0
0
0
0
16
20
20
0
0
0
16
0
8
0
4
4
0
14
0
0
4
0
0
0
0
0
0
0
0
0
0
5
0
8
0
8
8
8
0
0
0
4
0
1
0
8
8
8
16
0
8
10
0
0
0
0
0
0
0
16
12
0
0
0
0
0
0
0
2
2
2
0
8
8
8
0
24
0
0
0
0
16
2
0
0
0
0
0
0
0
8
8
8
0
8
8
8
8
0
24
0
0
16
8
8
8
20
16
0
0
0
55
55
0
0
8
16
1
1
0
0
0
8
4
0
0
0
0
14
6
8
0
0
6
6
4
0
1
0
0
0
0
20
2
2
1
1
1
2
2
0
0
8
0
0
0
0
16
33
0
0
4
4
0
23
0
0
8
0
0
0
0
8
0
0
0
1
16
0
0
0
0
0
0
1
0
0
0
16
2
2
5
5
0
0
0
0
24
8
0
4
32
0
0
8
8
8
0
0
2
2
0
0
0
16
16
8
0
0
0
0
0
2
2
2
16
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
8
0
0
17
0
16
0
0
8
8
0
0
0
0
16
0
0
8
8
0
24
0
1
0
0
7
8
0
0
1
0
0
0
0
0
22
25
0
0
0
0
4
4
8
0
0
0
34
34
34
34
13
0
0
0
0
0
0
2
0
8
0
0
4
0
0
0
0
0
0
8
0
1
24
1
0
0
0
0
0
4
0
1
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
1
1
1
8
4
4
8
0
0
0
0
0
0
0
8
4
0
24
2
4
8
0
0
22
8
0
0
0
2
16
16
2
2
0
0
0
0
0
2
0
0
0
24
16
0
0
0
2
2
0
16
0
0
0
16
8
0
0
0
0
0
8
3
0
0
0
22
22
22
0
8
0
0
0
0
0
0
0
0
0
4
0
0
0
18
0
0
0
0
0
0
0
0
0
0
0
16
2
0
0
0
0
10
34
0
0
0
0
0
8
0
0
8
8
4
0
0
8
18
18
18
18
18
18
0
0
0
0
0
4
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
8
0
2
0
0
1
0
0
16
0
0
0
8
0
0
0
0
0
0
0
0
4
0
16
0
0
0
0
1
1
4
0
8
4
0
0
0
0
16
16
0
0
0
0
0
0
0
0
1
0
0
16
0
20
0
0
8
0
0
4
16
0
0
0
0
0
0
0
16
16
0
0
29
16
0
8
2
4
0
0
1
0
16
0
8
8
8
0
8
8
8
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
4
40
8
0
0
4
8
0
0
16
8
8
8
8
8
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
16
16
16
8
0
0
0
0
16
0
8
4
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
1
0
0
0
8
0
0
0
16
8
16
8
2
0
0
0
8
0
0
0
0
0
0
0
8
16
0
1
0
8
8
0
0
0
0
16
8
0
24
16
16
0
0
0
16
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
49
2
2
0
2
0
0
0
0
5
5
0
0
40
40
0
4
4
4
16
16
0
0
0
0
0
0
0
0
24
0
2
0
0
8
8
0
0
8
8
16
16
16
0
0
0
0
20
0
0
0
3
0
0
16
16
0
0
0
0
0
8
0
0
0
0
1
1
4
0
0
8
8
0
0
16
0
0
0
0
0
0
0
0
0
4
0
0
0
8
8
0
8
0
1
16
1
0
0
0
2
0
0
1
8
0
8
0
0
8
8
0
8
0
16
0
33
0
8
0
8
0
20
0
0
16
16
16
0
0
0
0
24
0
0
0
0
0
0
4
8
8
8
0
0
0
0
8
8
8
1
4
4
4
0
0
0
4
4
4
16
8
16
16
0
24
0
0
16
0
0
0
0
29
0
0
0
0
0
8
0
0
0
8
8
8
0
0
0
38
38
8
0
0
0
0
0
48
16
16
0
0
0
0
0
0
4
0
16
0
0
0
16
0
0
0
0
16
1
0
0
8
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
24
0
0
0
0
0
0
0
16
16
0
0
24
2
0
0
0
0
0
0
22
22
22
20
0
0
0
0
0
0
0
2
2
0
0
8
0
0
0
0
0
32
32
32
24
0
0
28
0
8
4
0
0
24
0
9
9
0
8
8
8
16
8
0
0
0
0
0
48
48
12
0
0
0
0
0
0
1
8
8
8
8
8
0
0
24
0
0
0
0
0
0
0
8
1
5
0
0
0
0
0
0
0
0
8
0
0
1
4
0
0
0
0
0
0
8
8
8
2
0
0
4
4
0
0
0
0
0
0
0
0
0
0
0
4
16
0
8
8
0
0
0
0
0
0
0
0
0
4
0
0
8
0
0
0
24
16
0
2
0
0
0
0
4
1
8
0
0
0
16
0
1
8
8
8
8
0
0
0
1
0
0
0
0
0
8
8
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
24
24
0
0
0
0
16
5
0
0
0
0
4
0
0
16
16
16
16
16
16
0
4
4
0
0
0
0
8
0
0
4
0
0
1
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
18
8
0
0
16
0
0
0
0
0
0
1
0
8
8
0
8
5
0
0
8
0
0
8
8
8
0
0
0
0
0
0
30
0
0
0
0
0
0
0
0
18
0
8
8
8
0
0
0
0
0
8
16
0
0
8
8
8
0
0
0
0
8
0
1
1
8
8
1
1
0
20
0
16
0
32
24
8
4
0
0
8
8
0
8
8
8
0
0
0
4
2
23
16
0
18
18
40
40
8
1
8
0
0
5
5
16
0
0
0
16
0
0
0
0
16
16
16
16
16
8
0
0
8
4
4
4
0
0
0
8
0
0
0
0
18
18
18
18
0
16
0
0
4
4
4
0
2
2
2
2
2
2
2
2
0
4
8
8
8
8
1
0
8
8
8
1
1
1
4
0
0
0
16
0
0
0
0
4
0
0
0
0
1
1
2
0
24
8
8
8
2
0
0
16
18
16
16
16
0
0
0
16
16
16
2
0
0
0
16
0
8
4
4
8
0
24
16
0
0
0
0
0
4
4
1
1
1
0
8
0
0
0
2
16
0
0
8
0
8
0
0
0
0
0
0
0
0
8
16
0
0
0
0
16
0
8
0
0
0
0
8
8
8
16
16
16
0
8
0
0
28
24
24
24
0
2
2
33
33
0
0
0
16
1
0
0
0
8
16
0
17
8
0
0
0
0
22
22
8
19
1
8
0
0
0
0
8
8
8
48
32
16
9
0
0
0
0
0
16
0
0
0
32
32
8
8
1
0
1
48
48
48
4
4
32
32
48
0
8
0
0
0
0
3
3
0
21
4
0
0
0
0
8
8
8
9
0
8
8
8
0
8
0
8
8
4
4
0
0
8
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
8
24
17
17
1
0
0
0
0
16
16
0
0
1
20
8
2
1
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
4
4
0
0
0
0
8
0
0
0
0
0
0
16
4
4
32
0
0
16
0
0
0
0
0
0
0
0
0
9
2
0
0
0
8
8
0
0
0
9
0
0
17
17
17
0
8
0
32
32
0
0
0
8
8
0
0
0
0
0
0
0
24
48
0
0
0
4
8
8
8
16
0
0
8
8
0
8
8
0
0
0
0
0
0
0
0
0
4
8
8
0
0
0
2
2
2
2
2
2
1
1
0
8
8
4
4
4
0
0
8
0
0
8
8
8
0
0
16
16
16
16
0
8
1
0
8
0
8
0
8
16
16
16
8
8
0
0
9
16
16
16
33
33
0
0
0
0
8
16
0
0
0
0
0
9
9
0
0
0
0
0
0
0
0
4
25
8
0
8
9
39
0
0
0
8
8
8
8
8
0
0
8
0
6
8
10
10
10
0
2
0
8
0
8
0
0
0
0
16
2
8
8
8
8
8
0
2
0
0
2
2
0
0
0
4
8
8
8
16
16
16
16
8
0
0
0
0
16
0
0
0
0
1
17
17
0
0
4
0
28
0
0
4
4
0
0
0
0
0
16
0
0
0
16
0
4
4
8
8
0
0
8
0
8
0
0
16
8
8
0
4
4
0
0
2
2
2
8
0
16
0
40
0
4
4
8
0
0
0
8
0
0
0
1
6
6
1
0
0
8
8
0
0
8
8
8
8
0
0
0
0
0
0
0
16
16
0
0
0
5
8
8
4
0
30
16
20
13
0
0
24
0
16
8
8
0
0
8
8
0
0
0
0
0
16
16
16
16
16
0
0
0
4
0
8
0
0
8
8
8
0
8
8
8
56
0
0
0
24
0
8
16
16
16
16
24
2
16
8
8
2
0
0
8
8
8
0
0
0
8
2
2
17
17
0
0
0
0
2
2
0
2
0
0
0
16
4
4
8
0
0
0
0
1
4
4
16
11
0
0
8
20
20
12
9
8
1
0
0
0
8
16
16
16
16
0
8
16
0
4
8
8
8
16
25
25
8
8
8
8
8
8
0
0
0
0
8
0
0
0
8
0
0
0
0
0
0
0
16
16
0
0
4
0
16
0
8
0
24
21
4
4
0
1
8
2
16
0
0
0
0
0
1
1
0
0
0
16
32
8
0
16
0
0
0
0
16
28
28
8
8
24
30
4
4
0
0
0
18
0
8
8
8
8
16
0
0
0
0
30
1
1
0
0
0
0
0
3
3
3
3
4
0
0
0
0
0
0
0
0
0
0
0
0
0
4
8
8
0
0
16
16
16
16
0
0
0
0
0
16
16
16
0
0
0
0
0
0
0
0
32
16
16
14
2
8
8
22
22
0
20
24
0
8
0
8
8
0
2
2
2
8
8
16
16
0
8
0
8
4
0
0
0
6
6
6
8
0
8
8
8
8
0
0
0
0
0
16
0
0
0
16
16
0
0
2
16
16
4
8
1
0
0
8
8
8
8
8
8
8
8
19
4
0
0
0
0
0
16
16
16
8
0
0
0
0
0
8
8
8
8
8
8
0
3
3
0
4
8
0
0
0
0
0
2
2
2
0
0
8
8
8
8
8
25
4
4
8
8
16
0
0
0
0
8
8
8
16
9
0
0
0
16
0
0
0
0
0
0
0
0
8
8
0
0
0
0
16
0
0
8
8
20
0
8
8
8
0
0
1
0
0
0
0
16
16
16
0
0
0
0
16
16
0
0
0
0
0
8
0
0
0
24
4
4
8
0
8
8
8
8
34
0
8
2
0
0
0
0
8
8
8
8
0
34
34
0
16
0
0
0
0
0
8
2
2
16
16
16
16
16
0
0
0
0
8
0
0
0
0
0
0
0
0
4
4
8
0
0
0
8
16
16
8
22
8
0
0
8
8
8
0
0
10
18
8
0
0
0
0
8
48
0
8
8
8
8
8
8
0
8
2
0
0
20
16
16
8
8
0
0
0
0
16
0
0
16
16
4
4
0
0
0
29
8
8
0
0
0
8
0
0
0
0
8
8
0
33
0
16
0
0
0
16
24
0
0
0
0
0
0
0
0
0
0
1
8
0
0
0
18
8
8
2
8
4
4
0
0
1
9
0
4
4
24
2
8
2
8
6
6
0
16
16
16
16
0
0
1
1
4
4
4
4
4
0
0
0
4
4
8
0
0
0
0
8
8
0
8
16
16
0
0
0
1
16
16
0
16
16
0
0
0
0
0
0
16
0
0
16
10
0
0
0
0
0
8
4
0
0
0
8
8
20
20
20
8
8
8
0
0
0
0
32
32
32
32
0
8
0
0
8
0
0
0
0
8
8
8
16
0
0
8
8
0
0
0
0
2
8
0
16
16
0
0
0
0
8
8
24
8
0
0
0
0
1
8
8
0
0
12
4
0
0
0
0
0
0
8
8
0
0
0
0
0
8
0
0
4
0
0
2
0
0
0
0
2
0
12
8
16
0
0
0
8
0
0
4
0
2
2
1
8
0
48
48
8
8
4
8
8
8
0
0
0
0
0
8
8
8
32
32
32
32
0
0
16
0
0
0
8
0
0
0
0
8
8
8
8
8
8
8
8
30
30
0
2
0
0
0
0
0
0
0
1
1
0
8
8
0
0
8
8
8
10
0
0
24
8
0
0
0
32
8
8
8
0
0
0
32
8
16
0
16
0
32
32
32
17
0
0
0
0
0
0
0
0
24
16
0
24
2
1
16
16
24
24
0
0
0
16
0
0
0
0
16
0
8
0
0
16
16
16
2
2
2
16
16
0
8
24
24
8
8
8
24
0
0
16
16
8
8
8
8
0
8
0
2
8
0
16
0
0
12
8
8
8
8
24
0
16
8
8
0
0
1
0
8
8
0
0
0
8
0
0
0
16
8
0
2
0
0
0
0
8
0
16
8
1
1
32
0
8
8
8
0
0
0
0
0
0
18
24
24
0
8
8
8
8
8
8
27
11
0
0
8
8
8
8
8
0
0
0
0
0
0
16
0
21
0
0
4
0
0
0
0
8
0
2
2
6
10
10
8
0
0
5
0
0
0
0
16
16
16
8
1
1
0
16
16
0
0
0
16
8
0
0
1
16
16
16
0
16
0
8
8
8
8
8
8
0
16
16
0
16
8
8
4
8
8
8
0
0
8
8
8
8
0
4
8
0
0
0
16
0
8
8
8
0
2
2
2
0
0
0
0
0
0
1
0
34
16
0
0
0
16
16
8
8
8
0
0
8
0
0
16
12
8
8
24
0
0
8
8
0
0
0
16
1
1
0
0
1
1
0
24
8
0
0
0
0
0
0
0
0
0
1
4
0
0
0
0
0
0
0
8
8
0
0
8
0
0
8
0
6
6
0
18
16
4
8
16
32
8
8
0
8
8
0
0
0
24
0
0
8
8
8
1
0
1
16
0
4
24
34
0
0
0
8
8
0
0
0
0
0
0
0
2
2
0
0
59
59
59
0
4
16
18
2
2
0
0
0
8
8
0
0
0
0
16
16
0
8
8
0
16
0
0
0
0
0
4
16
1
8
8
10
0
0
0
0
0
0
2
18
0
6
6
4
4
0
8
0
16
16
16
0
0
4
12
12
12
2
16
16
16
0
0
2
16
1
0
0
0
1
0
1
1
0
0
0
0
0
20
20
8
0
0
0
0
8
0
0
0
12
8
0
2
17
17
2
0
0
4
0
4
0
0
0
8
8
8
0
16
0
0
2
0
0
0
0
0
0
0
0
0
2
2
8
0
0
16
0
0
0
8
8
8
8
2
16
4
0
0
8
8
0
0
1
1
1
17
17
17
16
0
0
0
8
2
0
24
24
24
8
24
1
1
1
4
4
0
0
0
8
0
0
0
0
0
0
1
0
25
0
0
0
0
12
0
6
8
8
16
0
0
0
0
1
0
0
16
16
8
8
2
1
1
1
1
1
0
0
0
8
8
8
16
5
8
0
0
16
0
0
0
8
1
1
0
8
8
16
16
0
0
8
8
16
16
16
1
0
8
8
16
16
0
0
16
0
0
12
4
2
2
0
0
0
0
8
8
8
8
0
0
0
0
0
8
0
0
4
4
0
0
12
12
12
0
8
8
8
0
16
0
0
0
0
0
8
0
0
0
8
0
0
8
0
0
0
4
0
2
8
0
0
0
0
24
8
8
8
0
0
0
0
8
8
0
16
16
16
16
0
8
8
4
8
8
5
0
8
4
1
16
0
16
0
0
4
0
0
0
8
0
0
0
0
8
0
8
4
2
2
0
0
8
0
36
8
0
8
0
8
9
9
8
16
24
8
0
11
9
5
0
0
16
16
4
8
0
0
0
0
0
0
0
2
2
2
0
0
0
17
8
8
8
0
0
0
8
8
8
8
16
16
16
0
2
0
16
16
0
0
1
0
0
0
8
8
0
0
4
8
0
0
24
8
8
0
0
0
0
2
0
0
8
0
0
8
8
8
1
8
0
8
8
8
6
8
0
0
0
0
0
22
4
0
0
0
0
0
0
0
8
4
8
4
0
0
0
0
0
0
16
16
8
16
8
8
0
0
0
0
4
4
1
10
10
1
8
8
8
1
1
1
0
40
40
0
10
10
0
8
4
0
0
8
8
0
8
0
1
0
0
0
0
0
16
0
8
8
0
16
0
0
0
0
16
0
20
16
0
0
0
40
0
0
2
2
0
4
0
0
0
8
8
8
8
8
0
0
0
0
8
0
0
0
0
48
32
32
8
1
0
0
0
0
1
8
0
0
8
0
8
8
0
0
4
4
4
20
16
8
8
8
8
8
8
8
8
0
0
0
1
0
8
16
16
16
8
8
20
0
57
0
2
2
2
2
10
8
8
1
8
8
8
8
2
0
1
14
14
0
2
2
0
0
16
16
0
0
0
0
0
8
0
4
2
0
0
17
1
0
0
0
0
0
32
1
0
0
0
0
0
0
1
0
0
0
58
8
8
8
0
0
0
2
2
0
0
8
0
8
0
0
0
16
0
0
0
8
1
16
8
0
0
0
0
8
16
16
2
2
0
0
0
0
0
2
1
0
4
0
0
0
8
0
6
0
4
0
0
0
0
0
0
0
0
16
0
0
0
0
0
22
0
1
0
0
16
16
8
8
8
8
8
0
0
0
0
0
0
32
32
32
8
0
0
0
0
0
8
8
8
16
0
16
0
32
0
0
8
8
8
0
0
48
0
0
24
0
1
1
1
0
1
0
0
6
0
18
18
0
0
0
0
0
0
0
0
17
16
16
0
0
8
8
16
16
4
20
18
18
60
0
8
8
8
0
4
16
0
8
0
0
5
5
12
0
32
32
32
32
32
16
16
0
0
4
16
16
8
16
8
0
0
0
0
2
16
0
0
24
24
0
0
60
32
4
1
1
0
0
0
0
0
0
0
0
0
0
16
0
28
0
0
0
0
0
0
24
0
0
4
0
0
0
16
0
0
0
32
0
0
4
4
0
0
0
0
0
0
0
4
4
16
0
2
0
0
8
8
0
12
0
0
20
1
16
4
4
8
16
8
8
8
0
0
0
8
8
0
42
0
0
0
2
2
0
16
4
8
0
0
0
0
0
0
2
2
0
0
0
0
16
8
8
4
4
16
16
8
2
0
0
0
0
16
16
4
4
16
16
8
24
0
0
0
0
0
16
0
0
0
0
4
8
8
16
16
0
0
2
8
8
0
0
0
0
0
0
0
0
0
8
0
0
16
0
16
38
0
0
0
0
28
16
0
0
1
16
0
0
16
0
20
20
0
16
16
16
8
8
0
0
0
0
0
0
16
0
0
0
8
6
6
8
8
0
1
0
0
0
0
0
8
0
0
0
0
0
0
8
8
8
8
8
0
0
28
10
10
10
0
0
0
0
0
8
8
1
12
0
0
0
0
0
0
0
0
0
8
0
0
0
0
16
0
24
24
0
5
0
0
0
0
0
4
8
0
2
16
0
0
4
0
0
8
17
16
16
4
16
0
32
8
8
8
1
1
0
0
0
0
16
8
0
0
4
25
2
0
8
8
0
0
4
8
8
0
0
0
0
6
6
6
8
16
0
0
0
16
1
0
36
4
4
4
2
16
2
2
1
0
0
0
0
0
0
0
8
8
0
8
8
0
0
0
0
16
0
0
4
8
8
8
0
0
0
61
0
0
15
7
7
0
0
4
0
0
0
0
8
0
0
26
4
2
2
16
25
0
0
0
0
16
8
0
0
12
1
0
0
0
0
0
8
0
0
0
16
16
16
8
16
0
16
0
0
29
0
24
0
4
0
0
8
16
0
0
0
0
0
16
0
0
0
16
1
1
1
1
0
0
0
0
0
0
6
6
0
0
0
4
0
4
4
0
0
0
0
0
0
24
24
0
8
17
32
24
8
8
8
0
0
0
0
16
1
0
8
0
16
4
4
4
4
24
0
0
0
0
0
0
0
0
0
0
0
0
0
16
1
1
1
0
0
0
0
0
0
0
12
0
0
0
2
16
24
16
0
0
8
16
16
0
0
0
8
12
12
12
24
8
0
7
4
2
8
8
8
25
17
0
2
40
4
4
1
1
1
0
0
8
8
0
1
8
0
0
0
0
0
0
0
0
0
0
16
0
0
2
0
0
0
0
0
0
1
0
0
8
8
8
8
0
0
0
16
1
16
16
8
8
8
8
8
0
0
0
0
0
0
9
9
0
8
0
8
0
0
8
0
52
0
0
0
26
24
0
0
8
16
0
16
32
1
0
4
0
0
0
8
8
0
0
8
0
0
16
0
0
0
0
4
0
28
0
16
16
0
0
0
0
0
0
0
0
8
8
9
9
16
16
16
8
1
24
0
0
0
0
0
8
8
2
2
8
0
0
0
0
0
1
0
0
0
0
0
16
16
0
0
0
8
8
0
24
24
1
16
0
0
1
1
48
2
2
0
16
24
12
12
12
32
32
32
0
0
4
0
16
12
0
0
0
20
16
16
16
0
0
8
8
8
0
0
8
4
0
2
2
22
0
24
0
0
2
8
1
1
4
0
4
0
0
0
0
0
0
0
0
0
0
0
0
3
0
0
8
26
4
1
1
0
8
0
0
0
8
0
0
0
0
8
16
16
16
0
0
8
1
0
16
0
8
8
0
16
8
8
16
12
6
0
0
8
8
4
0
24
24
2
16
0
0
0
8
8
8
32
0
0
0
0
4
4
8
8
0
0
0
0
0
2
2
0
0
0
0
0
0
8
56
18
18
0
0
33
0
28
16
0
0
0
0
0
0
0
0
2
8
0
0
2
2
8
8
8
8
40
0
0
0
0
0
0
0
0
0
20
16
16
0
0
0
0
0
20
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
8
16
16
0
0
16
16
2
0
6
0
0
0
0
0
1
0
0
0
0
0
8
8
16
8
16
0
0
16
8
0
2
0
0
8
0
0
0
0
0
0
8
8
0
4
0
0
0
0
0
0
8
8
16
0
0
8
0
0
0
0
16
4
2
0
8
0
1
6
0
0
4
0
0
0
0
4
0
0
0
0
16
0
1
1
0
0
16
0
0
0
16
16
16
0
0
0
0
0
0
8
8
8
8
24
0
8
16
2
0
16
16
16
11
0
0
0
0
0
0
0
0
4
0
0
28
4
8
0
8
0
0
0
0
1
0
0
2
0
0
0
4
4
8
0
14
0
8
12
0
0
0
8
0
0
8
8
0
2
0
0
0
24
0
0
1
40
0
0
0
0
8
16
16
16
8
0
0
4
0
0
0
16
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
4
4
0
0
24
0
8
0
0
1
1
8
0
0
0
0
0
0
8
0
0
0
24
0
0
0
0
1
14
14
14
4
4
0
0
0
2
0
6
0
8
0
8
8
0
0
16
0
0
0
0
0
4
4
4
0
4
4
4
4
4
4
4
4
16
0
0
0
0
0
16
0
0
0
8
0
8
8
0
0
0
0
0
0
0
0
16
0
0
0
0
16
0
0
0
2
0
0
32
4
0
0
24
0
0
0
0
0
8
0
0
0
0
8
8
4
16
0
0
0
0
16
1
0
2
0
8
8
8
8
0
16
8
8
8
8
0
4
4
0
0
8
0
0
20
4
8
5
5
16
0
0
0
0
0
8
4
8
8
4
0
1
1
8
0
0
4
0
0
0
0
16
0
6
0
16
16
0
0
0
0
16
0
8
2
8
0
0
0
1
1
1
4
16
2
2
0
0
0
0
0
4
16
0
0
0
0
16
16
16
16
0
2
0
0
0
0
0
6
2
0
0
0
0
0
0
0
1
2
2
8
16
0
0
16
24
0
8
0
8
0
0
0
8
0
0
0
0
0
0
0
8
8
0
4
0
0
0
0
0
0
0
8
0
4
0
0
40
40
0
0
16
16
0
0
0
0
0
0
0
0
0
0
8
0
8
16
0
0
8
8
8
8
16
0
2
0
0
1
16
8
0
8
16
1
30
30
8
8
0
0
2
0
0
0
8
8
0
0
0
0
0
4
1
0
16
0
16
24
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
17
8
8
8
8
0
8
48
48
0
16
0
0
0
0
6
0
0
1
1
1
1
0
0
0
0
0
16
8
8
0
4
16
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
16
16
16
16
16
4
4
0
0
0
0
0
8
0
0
0
0
0
2
0
1
0
0
4
0
0
0
17
0
0
0
0
12
12
0
4
2
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
8
0
0
0
16
0
0
16
8
16
16
8
0
0
0
44
0
4
4
4
4
0
0
0
0
0
0
0
16
2
0
8
0
0
0
0
0
2
0
8
0
0
32
24
0
2
0
6
0
16
4
0
8
0
0
0
0
0
16
16
48
0
0
8
9
0
0
1
0
0
0
2
0
0
16
0
16
16
0
2
2
2
8
0
0
0
0
2
4
8
0
0
0
8
8
0
0
25
0
0
0
0
0
0
0
16
0
0
0
0
0
0
3
8
0
0
0
8
32
8
0
0
0
0
0
0
24
0
0
0
24
24
20
0
16
16
0
0
8
0
0
0
16
0
0
4
4
0
0
0
0
2
20
8
0
0
0
0
0
0
0
0
0
0
0
16
8
0
2
2
16
16
0
8
0
8
0
0
18
0
0
0
0
43
16
0
0
8
36
0
0
16
4
16
0
0
0
16
0
0
0
12
0
1
1
0
0
52
0
0
8
0
0
0
0
0
0
8
25
0
1
0
3
3
3
0
0
0
8
32
0
0
0
4
4
8
8
36
0
0
0
8
0
8
8
0
0
0
0
0
0
0
0
0
8
16
0
16
0
1
0
0
0
4
4
22
0
0
1
0
0
48
0
8
19
0
0
8
8
8
16
0
8
16
16
0
0
6
1
1
16
0
0
0
8
0
0
0
0
0
8
0
16
0
16
16
0
0
0
0
0
0
0
0
0
8
0
0
16
4
28
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
2
0
0
0
8
10
18
18
16
2
8
8
0
16
0
2
0
12
12
12
12
0
16
40
0
8
16
0
6
0
0
0
0
0
0
0
16
0
0
0
0
1
1
4
0
4
0
0
0
0
0
0
0
8
8
16
1
8
24
0
0
2
2
0
0
4
8
8
0
0
8
20
20
0
0
0
0
8
4
48
0
16
8
1
0
8
8
1
0
0
1
0
24
0
0
16
2
8
0
16
0
0
0
10
2
0
0
0
8
16
0
0
8
8
8
0
0
0
0
20
20
16
6
8
0
0
0
0
4
4
0
0
0
0
0
0
8
0
8
0
16
8
4
0
4
0
0
0
0
0
0
18
18
0
8
0
0
8
8
8
8
8
0
19
8
27
8
0
0
0
0
0
0
2
0
12
12
12
12
4
0
0
0
0
0
8
0
20
0
0
0
0
8
23
23
2
40
0
0
0
24
8
0
0
0
16
0
8
16
16
0
0
0
0
1
1
0
0
8
8
16
16
0
1
8
8
16
16
1
1
1
1
0
19
0
0
1
2
2
8
8
0
4
4
4
0
0
4
4
4
0
0
20
0
0
0
0
0
8
0
17
0
8
8
8
0
0
16
0
4
4
18
0
0
16
0
13
0
0
0
16
16
0
16
0
0
0
0
0
0
14
0
8
4
4
0
1
1
8
0
0
0
0
0
36
0
0
0
2
8
16
17
4
0
0
1
0
1
0
0
16
0
4
16
0
0
8
0
0
0
8
18
18
0
0
0
8
8
0
0
0
4
0
0
0
0
0
0
1
0
0
48
32
48
8
16
8
8
8
8
8
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
17
16
16
16
16
16
0
0
0
8
8
8
0
8
0
8
0
0
0
0
8
0
0
26
8
8
8
8
4
4
0
16
1
4
0
2
0
8
8
0
36
0
0
0
0
16
16
0
18
0
33
8
8
4
8
8
0
0
0
0
8
8
0
0
0
1
1
8
0
0
0
0
0
16
16
16
24
24
8
21
8
12
8
4
8
1
1
0
13
13
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
8
16
8
0
8
0
2
0
0
0
0
2
8
1
0
4
4
0
0
24
16
0
0
0
0
13
0
0
0
8
4
4
4
18
0
0
32
0
0
0
16
0
0
0
0
0
0
0
0
1
0
16
0
0
8
8
16
1
0
4
0
0
8
16
8
0
0
32
8
8
0
0
0
8
0
0
0
0
0
0
4
0
0
0
0
0
0
0
2
2
0
0
22
0
8
8
8
8
8
0
0
0
0
28
2
0
0
0
0
40
0
0
16
16
16
0
18
8
0
8
16
0
20
8
0
0
0
8
18
18
18
0
0
0
0
0
0
2
2
2
0
0
27
0
0
0
8
8
10
0
0
8
8
8
8
0
24
16
2
8
0
0
0
24
24
24
8
8
0
0
0
0
0
4
4
1
16
16
0
2
4
4
0
8
8
8
0
0
0
8
8
4
8
2
0
0
0
8
0
1
0
0
0
0
0
0
8
0
8
1
0
16
0
24
0
16
0
0
0
20
20
4
4
4
0
0
0
0
16
16
16
16
16
0
0
0
0
0
0
0
0
48
48
0
0
2
0
0
0
16
16
0
0
0
18
18
18
18
0
0
0
0
0
16
8
8
1
0
16
0
2
8
1
0
0
0
0
12
4
4
0
0
0
8
0
0
4
0
8
0
0
0
0
16
0
8
8
4
0
0
8
0
4
0
8
8
0
32
32
32
32
24
0
8
0
8
8
8
0
0
0
18
8
8
8
8
4
8
0
0
4
0
0
21
9
4
0
0
0
0
0
0
4
8
9
9
8
8
8
8
0
8
8
0
0
8
0
0
0
24
1
1
32
8
0
32
0
8
8
0
16
0
6
0
8
8
8
0
0
0
8
0
0
0
0
4
8
0
8
0
25
25
0
16
1
16
11
0
0
8
0
0
0
0
8
8
8
0
0
16
16
16
0
0
0
16
0
8
8
0
1
1
0
1
1
0
0
0
0
0
0
0
0
0
0
8
8
0
8
0
0
4
0
0
0
8
8
0
2
0
1
1
16
2
4
0
0
52
0
0
0
0
0
0
0
2
0
0
16
16
16
0
1
0
0
0
0
8
8
0
0
8
0
0
0
17
8
8
1
1
57
57
25
8
8
0
0
0
16
0
20
0
0
16
1
0
0
8
0
0
32
8
0
0
8
2
0
0
8
0
25
8
0
0
0
0
13
13
0
8
0
8
0
0
0
8
8
0
24
0
0
0
0
4
0
0
0
0
0
0
0
2
8
0
0
8
0
4
26
12
12
8
8
8
16
16
4
0
0
0
0
16
16
0
7
7
8
8
0
16
16
0
0
1
1
1
8
0
0
12
0
16
16
16
16
16
16
16
16
30
8
8
0
4
8
0
0
9
16
16
8
8
13
0
8
8
8
0
0
8
8
16
0
32
0
8
0
0
10
8
0
1
0
2
0
0
8
1
0
0
0
0
16
0
0
20
20
16
16
8
0
0
0
0
4
24
0
0
20
20
0
0
0
0
0
16
8
0
0
1
4
4
0
8
8
25
0
2
2
0
9
0
16
16
16
4
4
0
0
0
0
0
4
16
16
0
0
0
0
0
1
8
9
0
0
8
8
0
0
0
16
8
8
8
8
8
8
0
16
16
8
8
8
4
4
34
0
0
8
2
0
0
0
0
8
0
16
0
0
0
8
18
8
8
0
4
8
0
0
8
4
4
4
4
4
0
8
0
0
8
24
0
8
1
8
8
0
0
0
0
0
0
0
18
0
8
2
20
0
8
8
0
0
0
0
8
8
0
0
0
0
0
1
1
4
4
16
16
16
16
4
8
0
20
0
8
0
0
8
0
1
0
0
0
4
4
8
10
0
0
0
20
0
0
8
8
24
8
8
8
16
16
16
16
16
0
32
0
8
0
0
0
0
8
8
8
8
0
16
2
8
8
8
16
8
8
0
0
0
0
8
0
52
32
8
0
0
16
32
0
0
0
0
8
0
0
8
0
0
0
8
0
0
0
2
0
1
1
0
0
8
8
8
8
16
0
4
4
20
0
8
8
8
28
0
0
0
0
16
16
0
0
20
0
8
8
0
0
8
8
8
8
21
0
0
16
16
0
4
0
0
8
8
0
0
0
0
8
2
0
0
0
0
8
0
0
0
57
0
0
0
0
0
0
9
36
0
2
0
0
8
8
8
0
8
8
16
16
0
1
0
0
4
4
4
8
8
0
33
33
0
0
48
48
3
0
0
0
1
1
24
4
4
16
16
8
8
8
0
0
0
32
8
2
0
0
2
0
0
6
16
0
8
8
4
4
4
4
4
4
4
4
24
0
0
0
4
0
0
16
8
0
0
16
8
0
0
0
0
16
16
16
16
16
8
0
0
0
8
0
0
8
8
0
0
0
0
0
8
0
0
0
0
1
0
0
24
18
16
16
33
0
0
8
0
0
0
0
3
3
3
0
0
22
0
1
0
8
8
32
18
18
18
8
2
2
0
8
8
8
0
4
4
4
4
4
0
0
0
0
0
0
8
8
0
8
8
33
33
16
16
0
0
0
1
0
0
0
0
0
16
16
10
10
0
28
16
8
8
0
0
0
1
8
0
8
8
26
16
0
8
8
17
17
17
16
1
1
1
0
0
8
8
0
4
8
0
2
8
8
8
8
1
2
16
8
8
8
0
4
0
0
0
0
2
8
0
2
16
4
8
8
8
1
1
8
8
0
0
2
32
32
4
8
0
0
8
16
16
16
16
16
6
6
0
0
0
0
0
0
0
8
8
0
0
8
0
8
4
4
18
10
17
0
0
0
4
16
0
0
0
8
0
16
0
0
0
16
16
0
16
16
8
8
16
40
40
4
0
8
8
8
8
8
19
16
0
8
8
16
8
0
0
4
4
4
4
0
8
8
8
0
0
0
8
8
8
0
1
0
0
16
1
1
1
1
8
8
8
32
4
0
16
0
0
0
1
1
4
4
0
0
0
0
16
16
0
20
20
1
1
0
0
0
16
8
0
0
0
4
4
0
0
0
4
8
8
8
4
16
12
2
33
33
0
0
0
8
8
26
16
0
0
1
1
0
0
16
1
0
0
8
0
0
16
16
16
16
16
16
0
0
0
8
8
8
0
0
0
2
2
2
0
4
16
16
16
18
18
4
0
8
0
8
8
4
16
16
9
9
8
8
0
0
4
4
8
8
0
0
1
2
0
0
4
4
16
24
24
0
0
0
16
24
0
1
1
0
0
8
0
0
0
4
24
24
8
8
0
16
0
8
0
0
4
8
1
0
0
8
8
8
0
0
4
4
4
1
0
0
8
8
0
0
0
8
0
0
0
0
0
0
0
16
0
0
0
0
0
8
4
26
0
8
0
0
8
16
0
16
9
8
0
0
0
0
0
2
8
8
8
8
8
8
10
8
2
0
0
4
4
4
0
0
0
0
0
0
0
24
16
16
16
16
8
0
0
8
4
16
0
1
2
2
2
8
0
8
9
8
8
24
0
0
8
8
4
4
0
0
16
0
1
0
4
0
8
8
8
8
16
16
8
8
8
2
2
8
0
8
5
5
8
8
0
16
24
16
16
16
1
1
0
8
1
1
4
20
8
16
16
32
16
0
0
0
0
0
0
0
0
16
16
16
4
4
4
4
8
8
8
8
8
8
8
32
8
0
0
0
17
17
8
0
0
0
0
16
0
0
0
1
0
9
8
0
0
8
0
0
0
0
16
16
8
8
1
1
0
0
0
0
8
4
0
33
33
0
0
0
0
0
4
0
0
25
0
0
0
0
8
8
8
8
0
0
8
1
1
0
0
2
2
2
0
0
0
0
0
0
8
8
8
0
20
20
1
16
16
36
0
16
4
8
0
0
0
0
0
0
16
16
16
8
8
0
0
0
0
0
8
1
1
20
20
0
0
0
8
8
8
8
0
0
0
4
9
0
0
16
8
8
8
16
16
4
26
16
16
0
0
0
0
0
0
0
0
20
20
8
16
0
0
0
0
8
8
8
8
8
4
0
0
16
0
4
16
8
8
8
8
8
0
0
0
0
0
0
0
0
16
0
0
0
16
8
8
8
0
0
0
0
0
16
16
8
16
2
0
0
0
16
16
0
0
8
8
2
8
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
16
16
0
16
16
0
0
8
16
8
0
4
0
0
0
0
0
0
0
0
0
12
8
40
8
0
0
0
22
22
4
0
0
8
8
9
9
9
9
0
16
21
16
16
0
0
0
0
0
0
8
32
32
16
16
16
0
0
0
1
16
0
60
0
0
8
8
24
24
8
8
0
0
0
14
8
0
0
0
0
8
8
8
0
0
0
32
1
16
0
2
2
24
8
8
0
8
8
0
0
0
8
28
0
0
8
20
0
17
0
2
2
0
0
16
0
0
0
0
0
0
2
6
0
16
8
16
16
16
10
0
0
0
24
24
0
0
8
8
0
16
16
16
16
0
26
26
26
26
0
20
0
8
8
0
0
2
8
9
0
4
0
0
0
0
16
8
24
16
16
16
8
8
0
0
8
8
0
0
8
8
8
0
0
8
0
0
8
8
2
16
8
16
16
16
16
0
8
8
4
8
0
16
16
27
8
0
0
0
0
0
16
16
8
8
8
8
8
8
8
0
0
0
0
20
20
20
0
24
0
0
0
1
1
4
4
0
0
0
0
0
0
0
32
32
0
0
1
0
0
0
0
0
0
0
0
0
8
16
4
16
16
4
4
16
0
4
10
16
16
16
16
24
8
0
0
0
0
1
0
0
0
0
0
0
8
8
8
8
8
8
16
16
0
0
16
4
4
4
4
1
8
8
8
0
0
0
1
8
8
2
0
0
8
8
0
0
0
16
0
0
0
16
16
16
0
2
8
8
8
8
8
4
4
4
4
4
16
16
1
1
0
0
0
32
4
4
0
0
8
16
0
0
0
0
1
1
1
8
8
16
25
0
16
8
24
1
0
0
0
0
8
0
4
8
8
16
25
8
8
8
8
16
8
0
16
8
8
0
0
16
8
8
8
3
0
16
16
24
8
0
0
8
18
0
0
0
4
4
8
0
8
0
0
0
0
0
0
0
0
0
4
8
0
0
0
8
8
16
16
12
8
16
16
0
24
24
0
16
0
0
0
4
0
8
8
8
0
26
26
2
0
4
1
8
8
8
8
8
0
1
1
16
16
16
0
32
20
20
8
8
0
16
0
16
12
0
34
34
16
4
0
0
0
2
0
0
5
5
8
8
8
0
18
18
0
0
16
0
0
0
1
0
0
9
4
1
1
8
16
8
4
16
0
0
0
36
0
0
4
2
0
4
4
4
1
1
1
0
1
8
8
0
0
32
32
0
8
8
16
0
16
12
8
8
16
16
1
1
17
24
8
4
0
0
0
0
4
0
19
20
16
16
16
16
2
0
0
40
8
0
8
0
8
0
8
8
0
0
8
8
0
0
0
0
8
8
0
4
16
17
16
0
8
8
16
16
16
0
0
0
0
0
8
1
25
16
20
0
8
8
8
4
4
4
1
1
0
0
0
0
20
0
0
16
16
16
8
36
4
16
8
16
0
0
8
16
16
0
0
0
0
0
0
21
0
13
12
8
0
16
8
16
16
48
8
0
0
0
4
4
2
0
0
0
0
0
0
0
0
8
4
2
4
0
0
1
0
0
0
18
18
18
24
12
4
16
16
16
16
1
0
0
8
0
4
8
8
0
4
2
1
8
0
0
20
0
0
0
0
0
0
0
0
0
0
0
0
8
16
16
16
16
16
16
0
0
0
0
0
0
0
0
0
0
0
8
16
16
16
16
8
8
16
16
0
10
17
29
16
16
18
18
4
2
2
8
16
16
16
16
1
0
8
0
0
0
0
0
0
8
0
0
4
4
4
2
6
6
6
16
0
0
0
16
24
0
24
0
0
0
16
0
8
0
0
0
0
0
8
16
4
0
0
0
0
8
16
16
3
0
0
8
8
8
0
0
0
0
0
0
0
0
4
0
10
6
6
1
9
0
32
1
1
1
0
0
0
20
2
8
0
0
0
0
24
32
32
8
8
4
1
1
1
1
20
20
0
8
0
2
16
16
0
16
16
4
8
36
0
8
16
16
2
2
0
0
25
2
1
0
0
8
8
0
16
16
2
0
8
0
0
0
0
0
0
0
0
0
0
0
16
0
1
2
0
8
1
1
8
8
8
17
0
2
8
8
8
9
0
8
0
8
4
4
4
8
8
8
8
0
8
8
8
8
0
0
0
8
8
0
16
2
2
2
0
0
32
1
1
16
16
9
30
30
16
2
0
0
0
2
0
1
4
4
4
0
0
0
0
16
16
0
0
0
0
8
8
16
0
2
16
0
8
8
8
6
4
4
1
24
16
8
0
0
0
0
16
0
0
8
16
8
8
8
0
0
4
4
8
16
8
8
0
0
0
0
16
0
8
8
16
16
3
0
0
8
8
8
8
16
16
16
16
16
16
0
0
1
4
0
0
0
24
0
8
8
0
8
0
8
8
0
0
0
0
8
0
8
16
2
0
8
1
2
2
8
16
2
24
8
8
4
0
0
8
8
0
0
0
8
8
8
16
8
4
4
4
8
8
0
0
4
0
14
2
2
16
8
0
16
0
0
0
0
0
0
0
0
0
48
0
0
0
0
0
16
10
0
2
8
2
8
1
1
40
0
0
3
0
0
8
8
8
16
16
16
8
8
0
8
2
2
2
43
16
16
8
0
0
8
0
1
0
0
1
0
0
0
2
0
16
4
16
1
16
16
0
16
0
16
16
10
17
16
0
0
0
0
0
0
8
0
24
24
24
24
16
16
0
16
16
0
0
24
24
0
0
0
0
16
0
0
0
8
8
0
0
0
0
16
24
16
0
0
4
4
0
0
0
0
0
4
4
8
8
0
8
8
0
0
8
8
8
8
8
8
8
0
16
16
0
8
8
8
8
8
8
0
0
0
21
21
21
16
0
0
8
8
0
0
1
0
16
16
0
0
0
4
0
0
16
16
0
8
0
0
0
0
0
1
1
0
0
4
8
1
0
1
0
0
8
8
8
4
4
0
9
16
0
0
18
0
0
17
17
17
8
16
32
32
32
8
16
4
16
16
0
22
22
22
0
0
0
8
0
8
8
8
8
1
8
8
8
8
8
0
0
8
0
0
1
1
0
0
0
0
0
10
10
8
8
8
8
8
4
0
0
16
4
4
4
16
24
2
0
40
0
0
0
0
8
16
0
30
2
1
1
8
16
0
0
0
1
1
1
16
0
0
24
0
0
24
8
8
0
1
0
0
1
0
0
0
0
0
16
16
8
0
8
16
16
0
0
16
12
16
0
0
0
0
8
8
1
1
0
8
0
0
0
0
16
8
8
8
0
9
16
16
16
0
0
0
8
8
8
8
0
0
0
16
16
0
4
20
20
0
8
0
0
0
0
0
0
0
1
32
32
32
32
32
32
32
32
32
32
32
32
32
16
16
0
8
8
8
30
16
16
16
0
16
16
0
0
0
6
2
8
0
40
56
0
16
16
0
0
0
1
1
1
8
0
0
8
8
16
16
0
1
17
0
0
0
0
0
0
4
2
0
16
2
2
0
16
8
8
0
0
8
8
0
8
9
9
4
0
2
18
2
4
40
8
8
24
2
0
0
0
24
16
16
0
8
8
0
16
8
0
0
8
0
16
1
48
48
48
48
0
4
4
8
16
16
24
0
0
8
0
8
0
0
1
0
2
0
1
1
8
0
0
8
16
8
0
0
4
16
0
0
8
8
8
18
18
18
18
16
8
16
0
4
4
8
0
0
16
16
16
24
16
8
8
0
0
16
8
8
8
0
0
8
0
2
2
24
24
16
16
0
24
16
16
2
16
16
0
16
16
8
0
8
8
8
8
8
2
6
0
0
0
36
0
0
16
16
8
24
0
16
22
8
4
16
0
8
8
8
8
8
8
8
8
8
8
0
0
8
16
16
16
4
4
0
0
16
8
8
0
4
4
4
8
0
0
0
0
0
0
4
16
0
16
16
16
16
2
0
2
8
0
8
8
0
0
0
1
8
8
0
24
8
57
0
24
0
0
1
0
2
0
0
0
0
57
8
0
0
0
8
0
0
0
4
4
4
4
0
1
1
0
0
0
16
8
0
0
0
4
0
0
8
8
4
8
19
0
0
2
8
16
16
16
0
0
0
1
0
4
4
0
16
16
0
20
20
0
16
0
0
8
0
4
8
0
16
0
0
8
8
8
22
8
8
0
0
0
0
0
0
0
0
8
0
0
0
0
4
4
4
0
0
0
8
0
0
0
0
0
0
8
2
0
0
0
0
0
8
8
8
0
0
0
8
0
16
16
8
16
16
0
8
0
0
0
8
0
16
0
0
8
8
8
8
0
0
0
0
0
24
0
0
0
0
0
0
0
0
16
0
0
0
0
8
0
2
16
0
2
24
16
0
8
8
8
8
0
0
0
0
8
1
8
4
0
8
2
0
0
0
0
4
4
8
3
0
4
16
16
16
2
2
2
2
8
8
8
8
0
8
16
0
4
0
0
0
0
0
0
0
8
0
0
4
8
0
0
0
25
4
1
0
1
0
16
16
16
0
0
0
0
8
0
0
0
16
0
4
1
1
0
8
8
4
4
0
2
27
8
4
4
0
8
0
24
0
0
0
0
0
26
0
8
0
8
0
0
8
8
0
0
2
0
0
4
0
0
24
0
0
0
1
1
0
8
0
8
0
16
24
0
0
0
8
0
0
0
4
0
0
8
0
0
0
8
0
3
16
16
0
8
8
0
8
0
32
32
16
0
0
0
0
0
8
37
0
2
2
2
16
0
0
0
24
10
0
0
0
8
4
5
1
16
20
6
20
1
0
0
16
16
0
0
0
0
0
8
0
0
8
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
8
8
12
32
0
0
4
0
8
8
8
8
16
0
0
0
0
0
0
1
4
8
0
8
0
0
8
32
32
32
2
2
1
4
0
1
0
0
16
0
8
0
0
16
0
4
4
16
8
8
8
0
0
0
0
0
0
1
4
17
0
1
0
0
0
0
16
16
16
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
12
0
0
0
0
0
24
24
8
0
0
0
0
0
0
16
16
8
0
0
0
6
0
0
0
8
28
8
0
0
0
8
2
8
8
8
0
8
8
8
0
0
16
0
24
1
1
0
0
8
0
0
8
0
0
8
0
8
0
0
16
16
0
0
0
1
0
0
0
2
0
16
20
0
16
4
8
0
0
0
8
8
8
0
0
8
6
6
0
0
0
0
0
1
4
1
1
16
16
0
0
2
2
2
2
0
0
0
0
0
8
8
0
0
1
0
8
0
16
16
22
0
0
0
2
16
0
0
0
20
20
0
0
18
2
1
0
0
0
16
8
0
0
0
0
8
4
8
16
0
24
24
19
0
0
8
8
8
8
8
8
0
0
4
2
0
0
0
0
8
0
0
0
0
0
0
0
16
0
32
8
16
16
0
16
16
0
0
1
2
0
2
0
0
0
0
0
0
8
0
0
0
8
8
0
0
0
0
0
0
0
0
8
8
16
16
0
0
16
0
0
24
24
24
16
0
24
8
0
0
8
12
0
0
6
2
0
0
24
1
8
16
16
16
0
16
0
0
8
0
0
0
0
0
0
0
8
18
24
0
8
0
0
16
0
8
8
0
8
0
8
2
0
4
4
0
32
0
0
3
0
0
0
0
4
4
0
0
2
0
0
0
0
0
8
8
0
16
16
8
16
0
0
0
0
8
16
24
0
0
0
8
16
0
0
0
0
22
0
8
0
0
16
0
34
16
16
16
0
0
0
0
0
0
0
0
0
16
8
16
0
0
0
0
2
2
8
8
0
0
21
0
1
0
0
0
0
0
0
0
8
2
16
0
0
0
9
8
2
0
2
0
1
8
0
4
4
4
0
1
0
16
6
12
10
0
0
0
0
8
0
0
8
8
8
0
4
8
8
8
8
0
0
0
16
22
16
0
16
20
16
0
26
0
0
0
0
4
0
0
4
0
0
0
0
0
0
16
16
0
9
0
8
16
0
0
12
49
49
0
0
10
0
0
0
0
0
0
0
20
0
0
8
0
24
24
0
16
8
0
0
8
0
0
1
0
16
0
0
2
2
2
2
0
0
0
8
0
16
16
8
10
18
0
0
9
9
8
8
0
2
2
2
0
0
0
0
0
10
8
0
0
0
16
0
0
2
8
8
8
17
0
0
8
1
24
8
0
0
16
0
0
16
0
4
0
0
0
0
0
16
16
24
0
0
8
8
8
8
13
0
8
0
16
24
24
24
24
24
24
16
0
8
8
0
8
4
18
0
0
0
0
2
0
0
0
0
52
0
4
16
0
8
0
0
8
0
0
0
8
0
9
13
13
13
0
16
16
1
0
0
8
8
8
8
8
8
0
0
8
4
0
0
32
16
0
0
8
8
0
0
16
0
0
1
0
20
20
20
4
4
0
0
0
0
0
0
0
0
0
0
4
0
0
16
16
0
0
8
8
0
0
8
0
16
0
2
8
8
8
0
0
0
0
0
0
16
0
0
16
0
28
4
0
0
0
8
0
0
8
8
0
4
8
16
0
0
0
16
0
0
0
0
4
1
2
0
0
8
16
0
0
0
0
0
0
8
8
8
8
8
16
1
0
18
18
18
18
2
2
0
0
0
8
0
0
0
16
26
26
0
0
0
0
20
0
0
0
0
0
16
0
0
0
0
24
10
10
10
1
1
0
0
0
0
16
0
0
0
0
28
4
12
24
8
8
32
0
0
17
0
0
32
16
0
0
0
0
0
20
0
0
16
0
0
0
16
0
0
4
8
0
0
0
0
0
0
16
2
2
8
8
0
0
0
0
0
0
8
0
1
0
8
8
0
28
24
0
9
9
9
9
1
8
8
2
8
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
4
0
8
0
4
0
8
8
0
0
0
0
0
0
0
8
0
0
16
16
8
8
4
0
0
12
8
8
0
0
0
0
0
0
0
48
4
0
0
0
0
0
8
0
2
0
0
0
0
0
0
0
0
16
0
0
0
0
2
0
0
0
8
0
20
20
8
2
2
0
0
0
0
16
16
16
0
0
0
8
4
1
1
1
1
8
8
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
16
16
16
0
0
0
0
0
0
0
8
16
0
0
0
0
0
0
0
0
0
0
0
16
0
16
8
16
16
24
0
8
0
8
4
0
13
8
8
0
0
0
0
8
8
0
4
0
16
0
0
4
0
16
16
16
0
0
4
0
8
0
0
0
0
2
8
0
8
0
0
0
24
8
0
0
0
10
16
8
0
0
0
0
0
8
0
0
16
18
8
0
0
0
0
0
16
8
8
4
0
0
0
24
24
8
8
8
8
8
16
0
1
0
0
0
0
2
2
16
1
0
18
8
8
0
4
8
8
8
24
0
0
0
0
4
0
0
20
8
0
16
0
0
0
16
0
4
16
8
8
0
0
8
0
8
8
1
1
1
1
1
0
0
8
8
8
16
16
16
16
16
16
16
16
16
8
2
8
12
0
0
0
0
8
8
24
16
0
0
8
8
0
0
0
16
16
0
0
24
0
0
0
0
0
0
0
0
16
16
0
0
24
0
0
1
0
0
0
0
4
16
0
0
8
8
0
19
16
0
0
0
0
0
16
16
0
0
16
0
0
0
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
1
1
16
16
16
33
0
8
8
16
0
0
0
8
0
8
0
1
16
16
0
8
8
4
0
16
8
0
0
0
8
8
8
0
0
6
6
0
0
8
8
8
8
0
4
8
16
16
0
0
0
0
16
16
10
9
9
10
8
8
16
0
0
32
32
0
8
0
16
24
24
16
0
0
32
0
0
16
16
2
1
0
0
0
0
4
4
0
8
4
58
4
8
8
0
8
0
0
0
0
8
8
4
8
8
8
8
8
0
4
0
0
0
0
4
4
16
0
6
4
4
4
4
4
4
4
1
1
0
8
1
0
16
0
0
0
4
4
8
8
2
0
0
0
18
0
0
0
2
0
0
12
0
0
0
0
8
0
0
0
0
8
8
0
0
0
0
8
8
0
0
2
0
8
8
18
10
1
8
0
0
0
0
0
0
16
0
36
0
0
0
8
2
0
8
8
8
8
8
0
8
8
0
8
8
0
0
0
0
0
0
0
0
2
8
16
0
1
24
16
0
0
0
12
0
0
0
0
0
16
16
0
0
32
32
0
8
2
16
0
0
0
0
0
0
9
0
0
16
0
16
0
0
16
16
16
16
8
0
16
16
16
16
0
0
8
8
0
0
0
16
10
0
19
0
0
0
0
8
48
0
0
0
40
0
16
0
16
0
0
4
0
2
0
0
0
0
0
8
0
0
0
4
33
33
0
0
0
0
0
8
4
0
0
16
16
16
8
25
0
0
0
0
0
0
0
0
2
0
0
0
0
16
16
16
0
0
0
0
16
0
0
16
16
0
8
0
0
0
0
0
0
16
0
0
0
0
0
0
0
20
8
8
8
8
8
8
8
61
0
0
20
20
8
0
8
18
18
1
24
24
8
16
16
16
16
0
0
0
18
0
0
0
0
0
0
0
0
0
24
24
4
4
0
9
9
0
4
0
0
0
4
0
1
1
1
0
1
1
0
16
17
4
24
0
0
0
0
16
16
16
0
0
12
0
1
8
0
16
16
0
0
0
8
0
0
0
0
0
0
0
0
2
2
0
0
16
2
2
1
0
2
0
0
0
16
16
10
10
16
16
16
0
0
1
0
1
0
8
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
4
0
0
8
9
1
32
8
0
0
0
0
0
8
8
0
1
8
4
1
17
8
8
24
24
0
0
0
8
0
0
16
0
0
0
0
0
0
0
8
8
16
4
0
2
8
24
16
16
16
0
0
0
0
22
4
8
8
0
37
0
8
0
0
0
8
8
0
0
0
8
0
0
0
0
8
0
8
8
8
8
0
0
0
0
16
16
4
4
0
0
8
16
0
0
0
0
0
8
8
8
8
0
8
8
8
0
0
0
0
0
0
0
4
8
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
8
0
16
0
0
0
0
4
4
4
4
4
16
18
0
0
0
0
16
16
1
0
8
8
16
8
0
0
8
8
8
0
19
16
0
8
18
8
20
24
8
16
0
8
0
0
0
0
0
0
0
42
0
0
0
0
0
16
16
16
8
8
0
0
0
0
0
0
0
0
0
0
17
0
8
8
32
20
8
8
0
0
9
0
0
0
0
0
0
8
0
30
0
0
0
0
8
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
2
0
0
0
0
0
0
0
8
0
0
16
8
0
0
0
0
28
0
8
0
24
24
8
0
0
10
16
20
0
1
8
4
4
4
0
0
0
0
0
1
1
8
1
1
0
0
8
8
4
0
0
0
8
15
18
0
8
8
8
8
8
8
8
8
8
0
0
0
16
8
16
16
16
0
8
4
4
16
8
8
2
57
0
0
2
2
0
0
0
0
0
16
23
8
8
8
1
4
4
16
16
0
16
0
0
4
0
24
30
16
16
8
0
0
8
8
8
8
0
8
8
8
0
0
0
16
8
8
0
1
16
16
16
16
0
0
17
8
8
24
8
8
0
8
8
0
0
1
1
0
0
0
0
0
0
0
16
1
1
1
0
0
0
0
2
2
8
8
0
8
8
8
8
8
0
0
0
9
9
0
4
16
0
0
0
40
32
0
0
0
16
8
0
0
0
0
0
0
0
8
0
0
8
16
0
0
0
16
16
0
0
0
0
8
0
0
8
4
40
24
0
0
0
8
8
8
0
0
0
0
8
8
8
16
16
16
16
0
0
24
24
5
0
8
8
8
8
0
0
0
0
16
0
0
28
28
8
0
8
0
0
16
16
16
16
8
0
1
0
0
0
4
0
0
0
8
16
0
0
16
16
16
0
4
8
8
8
0
1
1
1
1
1
1
32
32
32
8
12
4
2
2
2
2
0
0
0
23
0
8
8
8
16
24
0
0
0
0
8
8
0
8
0
0
0
0
0
0
3
16
16
16
16
8
4
4
16
16
8
0
8
0
0
1
8
8
0
20
20
20
18
18
0
8
0
0
0
8
8
8
8
0
8
12
12
12
12
8
8
8
8
8
0
0
0
0
0
32
16
8
0
16
16
0
4
4
16
17
2
0
0
8
8
16
16
0
0
0
0
8
0
0
0
0
8
0
0
8
0
36
36
36
0
0
0
0
0
0
0
0
0
8
16
16
0
16
0
1
0
0
0
0
0
0
0
0
16
0
1
0
0
0
0
8
8
16
21
21
8
8
8
0
0
0
12
16
16
16
8
16
16
4
4
16
0
0
0
4
20
2
2
2
8
8
8
2
2
0
8
0
32
0
8
0
2
2
2
0
8
0
0
8
2
2
0
16
16
16
16
16
16
16
0
8
8
0
0
0
2
8
0
0
8
8
0
0
1
1
1
0
0
2
2
2
2
2
0
4
0
11
0
26
0
0
26
2
6
2
0
0
32
32
24
0
0
2
8
8
0
8
12
32
0
0
0
0
0
12
1
0
0
0
0
8
0
16
0
16
8
0
0
0
0
5
0
16
8
8
0
0
0
16
2
0
0
16
16
25
8
8
8
0
8
0
8
40
0
0
0
50
8
6
6
6
0
16
34
0
0
8
8
8
0
0
0
0
0
0
1
16
16
8
8
0
0
0
4
4
8
0
8
8
8
8
8
4
4
4
4
8
8
8
8
8
0
25
4
4
4
0
8
0
0
8
16
16
0
1
16
16
8
8
4
0
0
8
8
0
0
8
0
1
16
8
16
4
0
0
0
0
8
8
8
12
8
8
8
0
0
0
8
8
16
2
0
0
32
32
1
10
4
0
0
0
0
0
8
0
0
1
0
0
16
16
8
8
8
8
0
16
4
2
16
0
0
8
8
8
8
8
0
1
1
0
0
0
0
0
0
0
8
0
4
17
16
16
0
2
0
0
16
56
0
0
0
0
8
8
8
8
4
4
0
0
8
8
8
0
0
19
19
0
0
0
0
16
0
32
0
0
0
16
0
0
0
8
2
9
0
0
0
8
26
1
1
8
8
26
1
32
32
32
16
0
0
0
0
4
1
0
0
0
0
8
2
2
2
24
1
16
0
24
24
8
8
0
0
8
8
8
0
0
0
0
0
16
8
0
13
0
8
16
16
16
16
0
0
0
48
0
13
4
4
17
17
0
0
0
8
0
0
16
0
0
0
8
9
9
0
0
0
1
1
0
0
16
16
8
8
8
0
0
0
0
16
27
27
8
0
20
16
16
0
16
16
16
32
4
8
0
0
0
0
8
8
8
8
0
0
0
8
1
8
17
0
0
0
2
0
0
16
16
0
16
8
0
0
0
0
2
2
2
2
16
4
1
1
1
0
40
40
40
40
8
8
0
8
2
2
2
8
8
8
0
16
16
0
0
0
0
0
0
4
0
0
4
0
0
8
8
8
0
0
16
8
8
0
16
1
1
0
8
4
16
8
8
16
16
0
8
4
4
4
4
4
4
0
0
0
4
4
8
8
0
0
0
4
0
0
8
8
50
18
2
8
8
0
4
4
2
8
8
0
0
0
0
0
0
0
8
8
8
12
0
28
1
1
33
0
0
0
0
0
16
8
8
14
1
0
4
8
8
8
4
8
8
8
8
8
23
8
4
2
4
4
1
0
0
0
0
0
0
0
1
16
8
8
16
0
0
8
0
2
2
2
2
5
0
0
8
8
0
0
0
24
8
8
8
0
0
6
4
33
8
1
1
24
24
8
8
0
0
0
0
0
0
0
0
8
1
1
1
8
0
0
0
9
8
0
0
24
32
32
16
8
8
8
0
0
16
16
16
0
0
1
0
0
16
16
16
16
16
16
4
0
8
2
0
8
8
8
8
8
8
0
4
16
16
24
24
24
8
8
8
8
24
4
8
8
8
8
8
0
1
0
0
0
8
8
28
28
0
0
6
8
8
0
8
8
2
2
0
0
0
0
16
0
0
4
4
4
8
8
0
0
0
16
0
0
0
0
0
16
0
0
0
4
0
0
16
24
8
21
21
21
18
8
8
12
4
0
8
8
8
4
12
4
1
1
3
1
1
8
0
0
0
0
8
8
0
0
9
9
9
0
8
0
0
0
0
0
0
8
16
0
0
0
8
0
32
0
0
0
16
0
0
0
4
0
0
0
8
16
0
0
9
0
8
8
0
0
0
8
0
16
16
1
1
1
0
0
16
16
0
8
16
8
0
1
1
0
0
0
0
0
0
8
8
1
1
0
0
0
2
0
8
4
0
0
4
0
0
4
0
4
8
8
32
32
0
0
0
0
3
16
16
20
20
0
0
2
2
0
0
4
16
24
0
0
8
8
0
28
28
0
1
1
0
0
0
8
0
0
0
0
13
0
0
0
8
16
0
8
8
0
0
0
16
16
16
16
16
0
0
0
0
8
8
1
1
1
1
0
0
16
16
24
16
0
2
2
8
8
0
8
0
0
16
16
0
0
0
4
4
0
0
0
2
24
0
0
4
4
1
24
16
16
1
1
0
0
0
8
8
0
8
8
10
8
0
16
16
0
0
8
0
0
0
0
24
2
0
0
20
4
0
0
0
8
20
0
0
4
0
0
0
0
0
0
8
0
4
4
0
0
0
0
0
37
0
0
0
0
0
0
0
16
16
1
0
4
4
2
0
0
4
8
8
0
8
32
32
0
0
8
0
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
16
16
0
0
0
12
12
8
16
0
4
0
0
8
4
8
8
1
1
8
4
4
8
16
4
0
0
8
4
4
8
16
16
16
16
16
24
0
0
0
0
0
0
0
0
16
36
16
16
16
16
8
0
4
4
4
4
1
16
8
16
16
16
8
8
0
0
0
8
8
8
0
0
0
16
16
0
0
0
8
8
8
8
0
8
8
8
8
16
16
4
4
32
8
0
16
32
8
4
16
20
20
0
0
0
8
8
20
4
4
0
0
8
0
16
0
0
8
16
16
4
0
0
0
2
2
0
0
0
0
4
4
4
0
0
16
4
1
1
0
20
4
0
2
0
4
4
0
4
4
20
0
0
0
8
8
26
26
26
16
16
16
4
16
9
16
8
8
8
8
5
24
0
0
0
0
0
4
4
4
4
4
0
1
0
0
0
16
0
4
2
2
2
2
2
1
0
2
0
4
4
4
4
4
4
4
4
4
8
8
0
0
0
0
0
0
0
32
24
0
8
8
8
0
0
0
0
16
16
2
0
8
8
0
0
0
10
0
8
16
16
16
16
8
8
8
0
0
16
16
16
0
0
0
0
0
0
0
1
1
0
0
2
0
0
16
16
16
0
0
4
4
8
0
32
4
18
16
0
0
0
0
16
8
0
40
8
16
16
16
8
8
0
8
0
0
0
3
4
16
0
16
16
16
2
8
0
24
16
16
16
2
2
16
8
0
3
0
8
8
8
8
0
0
1
0
0
0
8
0
0
8
8
8
0
9
0
0
0
16
16
0
0
0
8
0
0
8
8
16
8
0
0
0
0
0
2
16
16
16
8
0
4
4
0
0
16
0
0
16
16
31
8
0
8
8
4
8
0
0
8
0
0
0
0
8
0
0
16
0
18
0
2
4
16
0
0
16
8
16
1
41
0
0
0
0
0
0
4
0
0
4
16
0
4
4
8
1
1
0
1
1
0
8
8
8
8
0
0
16
8
15
8
0
10
8
8
8
8
15
0
0
24
8
8
0
8
0
8
0
8
8
8
16
24
24
16
24
16
0
8
0
16
16
0
0
0
0
0
0
0
0
1
1
24
0
9
8
0
0
0
4
4
4
4
4
4
8
8
8
0
0
0
0
9
2
20
0
0
0
0
8
26
18
18
0
8
0
16
16
2
0
0
16
0
8
17
8
8
8
0
0
0
0
0
8
1
0
0
36
16
0
0
8
36
4
8
8
8
8
8
8
8
8
0
4
0
16
16
35
8
8
18
16
18
18
1
4
0
16
16
0
0
0
4
20
16
8
16
0
9
0
4
24
24
8
1
1
24
24
8
8
0
0
8
8
8
8
8
8
0
0
8
0
16
32
0
30
2
0
0
0
0
8
0
0
0
0
0
0
1
0
0
0
4
0
24
24
8
8
8
0
8
8
40
40
8
10
10
10
10
10
10
10
8
8
17
4
4
4
0
16
0
8
8
8
8
44
2
2
16
10
10
24
24
16
16
0
0
0
8
33
8
29
0
0
8
0
24
17
0
0
0
0
0
40
1
8
8
0
8
16
1
0
0
0
0
4
0
0
1
1
0
10
4
4
12
12
9
0
0
0
0
8
0
16
8
0
8
18
1
0
1
1
1
1
1
8
0
0
0
0
0
2
2
12
8
8
8
8
8
16
2
8
8
16
16
8
0
0
8
8
8
8
0
0
0
4
4
16
1
0
0
0
8
0
0
32
32
1
16
16
16
16
16
16
8
8
25
8
18
2
0
13
16
16
0
0
0
0
8
8
8
41
0
16
16
0
0
0
10
0
0
0
8
16
16
2
0
0
0
8
0
0
8
8
0
0
8
0
1
1
1
0
10
0
0
0
0
0
16
0
16
12
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
16
16
0
16
0
4
0
8
24
24
24
0
0
8
8
8
16
16
16
16
16
8
4
4
0
0
0
8
8
8
20
0
0
8
8
0
0
1
1
28
4
4
1
0
8
4
4
4
4
8
8
8
8
0
0
0
0
8
8
8
16
0
16
0
0
0
0
16
16
0
0
0
0
16
0
0
0
0
8
8
0
4
16
0
0
1
1
0
0
0
0
8
16
16
0
16
16
16
0
20
2
8
0
0
16
16
0
2
0
24
8
8
8
8
8
8
8
8
8
0
0
0
0
4
4
4
3
0
16
8
0
1
0
0
16
8
8
8
8
0
32
0
8
8
8
8
8
8
8
8
8
8
45
45
16
16
16
16
0
0
0
0
0
8
1
1
1
0
0
23
16
4
16
0
16
16
0
19
0
8
8
8
8
8
1
16
16
16
16
0
0
8
8
4
4
16
18
0
29
8
0
0
0
0
1
8
0
1
8
8
8
0
8
8
8
8
8
4
0
0
24
4
4
0
8
0
0
0
0
0
0
0
0
0
0
16
16
8
8
16
8
0
1
1
8
8
8
16
16
16
16
16
1
16
16
0
0
0
0
0
0
0
16
16
0
0
0
0
8
4
0
0
0
0
0
16
9
16
16
16
8
16
16
16
16
0
0
0
0
8
0
8
16
16
16
2
0
0
0
0
4
0
1
17
0
0
0
0
8
0
0
2
8
0
0
0
0
24
8
16
0
2
8
16
16
4
8
8
16
0
0
0
0
0
8
0
16
8
8
8
0
0
8
24
24
8
8
8
52
8
16
8
8
8
8
8
8
24
24
0
0
16
0
1
1
2
2
1
8
8
0
8
8
8
8
8
8
16
0
0
8
16
8
0
8
16
0
1
1
1
8
8
0
0
0
2
2
2
2
0
0
8
8
2
8
16
16
18
0
30
0
1
1
1
8
0
0
0
0
0
24
16
8
24
16
16
0
8
8
25
4
4
4
0
2
16
10
10
8
8
2
0
0
16
8
1
1
0
0
16
0
18
16
0
0
0
0
0
0
0
2
2
2
8
8
8
16
0
0
1
0
8
16
0
0
0
4
4
4
8
8
21
21
8
0
0
8
0
0
0
1
8
16
16
0
0
0
0
16
16
0
4
0
0
0
0
0
4
4
2
16
4
8
0
8
0
0
32
2
2
4
28
8
0
13
1
8
8
8
8
1
0
0
0
0
16
0
0
4
0
8
8
0
0
0
0
16
40
8
0
8
25
0
8
0
16
16
0
16
16
16
0
24
4
0
0
8
1
0
16
0
16
16
16
0
1
1
1
0
0
0
10
10
8
17
8
8
2
8
0
0
8
8
8
0
0
2
1
8
0
0
3
24
24
0
8
0
0
0
32
32
0
8
0
0
0
8
0
0
12
24
24
0
0
0
0
0
0
8
8
0
8
8
24
16
24
0
0
0
0
0
0
16
0
0
0
40
8
8
24
0
9
1
8
8
8
8
24
0
8
8
8
0
0
0
0
16
8
0
0
16
16
16
4
4
4
0
20
0
1
0
0
16
0
0
0
0
16
16
0
1
0
0
0
0
0
0
16
34
34
34
0
0
4
1
1
17
1
8
8
20
0
8
0
0
0
0
0
0
0
8
32
8
32
2
0
0
0
0
8
8
2
2
0
0
0
8
8
2
2
0
0
0
16
16
0
0
24
0
8
8
8
8
8
8
8
8
8
16
16
16
16
4
0
0
0
16
2
0
0
4
0
8
8
0
16
4
16
16
0
0
0
0
0
0
0
1
0
0
2
0
0
20
16
0
0
0
0
0
0
0
0
0
0
8
26
0
0
32
0
16
16
0
12
0
0
0
0
0
0
0
0
9
0
0
0
0
0
0
0
0
24
24
17
16
13
0
0
0
0
0
2
8
0
0
1
16
0
0
0
8
0
0
0
0
0
16
16
0
0
0
0
8
8
0
4
2
2
0
4
4
8
0
0
0
8
8
8
0
0
0
4
0
0
0
4
8
8
8
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
16
17
17
1
0
0
6
6
16
0
0
0
0
0
0
0
8
8
8
8
8
8
8
8
0
8
0
0
0
0
8
16
0
0
0
0
8
4
8
0
0
0
8
1
1
0
8
8
16
0
2
0
24
0
16
0
0
0
8
8
0
0
41
0
0
0
0
8
24
0
48
0
16
20
0
0
2
16
0
0
0
0
0
1
0
4
4
24
24
0
0
4
2
1
0
0
0
0
17
17
0
0
0
0
6
0
8
16
0
8
8
8
0
0
0
0
0
4
4
0
0
0
0
0
0
16
8
0
0
0
0
0
4
0
4
4
0
0
0
0
0
0
0
29
29
29
29
29
29
29
29
29
29
29
20
0
0
0
0
0
0
0
8
8
0
0
0
0
4
4
8
8
0
1
4
4
4
0
0
0
0
1
2
2
2
8
0
8
16
24
0
0
0
0
0
2
0
0
0
4
0
0
49
49
0
4
29
16
0
16
0
0
0
0
4
0
0
0
0
16
0
4
0
0
0
0
24
60
0
0
4
0
0
0
0
0
0
0
0
0
0
2
8
0
0
0
0
0
2
16
16
20
22
0
0
0
0
16
0
0
0
0
8
0
0
0
0
24
0
0
0
8
0
8
8
26
26
26
0
0
1
0
0
0
0
0
0
4
0
8
0
8
0
0
0
25
25
0
0
0
0
0
16
1
1
0
8
8
8
8
8
4
0
8
8
16
0
0
0
0
24
0
0
0
2
2
16
0
0
0
0
8
0
1
1
1
16
16
16
0
1
32
0
0
12
16
16
20
8
16
8
8
8
6
0
1
2
2
2
0
24
24
8
13
8
0
0
0
0
16
0
4
0
0
0
0
0
0
0
0
8
8
0
0
0
16
16
0
0
0
8
8
0
0
0
0
2
2
0
0
0
24
0
16
0
0
16
8
4
24
0
0
0
16
16
16
8
0
16
0
4
4
0
0
0
0
0
0
0
0
0
0
17
21
0
0
0
0
24
24
0
1
0
24
2
2
2
0
0
24
1
8
8
0
8
16
0
0
8
1
0
0
0
0
0
7
0
4
4
8
4
8
8
8
0
8
8
8
0
0
0
0
0
0
4
4
0
0
26
0
8
0
0
0
0
0
0
0
0
8
8
8
8
8
0
4
0
4
0
0
8
8
0
0
0
0
0
0
8
0
0
2
8
52
16
16
16
0
0
20
20
0
0
0
4
2
4
0
8
0
8
8
8
0
17
4
24
16
0
16
8
8
0
0
0
0
0
1
1
0
24
24
0
8
8
8
8
8
8
2
0
0
32
0
0
0
0
2
2
6
0
0
32
8
0
0
0
0
0
0
0
0
8
0
0
32
1
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
8
8
8
0
0
0
0
8
40
0
0
0
3
0
0
0
0
24
0
0
20
20
20
20
20
16
16
16
0
0
0
0
8
4
0
32
4
0
0
0
0
0
0
3
3
30
30
10
10
10
10
0
8
8
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
0
16
32
0
4
0
0
0
1
1
1
0
16
0
2
40
16
0
0
2
0
8
24
16
16
0
0
0
0
16
0
4
0
0
4
0
0
17
0
0
0
16
16
0
0
8
8
8
0
0
0
0
16
0
18
0
0
47
16
16
16
0
2
8
8
8
0
0
4
4
4
16
8
8
8
8
0
0
24
0
0
0
0
0
8
16
16
8
48
48
0
0
0
4
4
0
0
0
16
16
0
0
17
0
0
20
8
0
0
8
8
16
16
26
16
16
0
0
0
0
0
0
18
0
0
0
0
24
8
16
16
16
0
0
8
8
8
16
0
1
0
0
0
0
24
24
28
0
0
0
0
0
0
0
0
0
0
2
0
0
8
8
8
0
16
0
6
6
0
0
0
0
8
8
0
2
2
8
4
4
0
0
8
0
4
0
0
16
0
0
8
0
0
20
16
16
16
16
0
0
8
8
0
0
16
0
0
2
0
0
0
8
8
0
8
0
0
0
1
0
0
0
0
16
0
0
0
0
4
0
0
0
0
0
0
0
0
8
0
8
0
0
0
4
0
0
0
16
21
0
8
8
8
0
8
0
9
0
0
8
0
8
0
0
32
0
8
0
0
0
0
0
24
16
0
1
0
0
8
0
0
0
8
0
0
11
0
8
16
0
0
0
2
0
8
0
2
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
4
16
24
24
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
24
24
24
24
24
8
0
1
0
0
0
0
2
2
2
2
24
24
0
0
0
0
16
0
0
0
6
0
0
0
0
0
0
2
0
21
8
32
0
0
8
6
4
0
0
8
0
0
0
16
20
20
8
4
2
0
0
0
16
0
0
0
0
0
16
1
0
4
4
4
0
0
1
40
8
2
0
0
0
0
0
0
0
0
0
16
16
0
20
0
0
8
29
17
17
0
0
0
0
24
4
8
8
8
8
0
12
8
0
0
0
16
16
0
0
0
1
0
0
0
0
0
0
0
0
0
2
4
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
24
8
0
0
0
48
8
0
0
0
2
8
8
8
0
24
0
8
8
8
0
0
4
2
0
8
2
0
0
0
8
8
1
40
40
0
0
8
8
16
0
22
0
0
1
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
57
0
0
0
2
0
8
1
20
0
6
0
0
0
0
0
0
1
1
0
61
12
0
0
16
2
0
0
0
16
16
8
8
0
0
50
0
16
24
4
4
1
0
0
0
0
0
1
0
0
0
0
0
0
8
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
16
0
4
0
0
48
0
0
40
16
0
0
0
0
0
0
0
8
8
0
8
8
0
16
0
1
1
1
0
8
8
16
16
0
6
0
16
16
0
0
0
0
2
0
0
0
8
8
4
4
4
8
8
0
0
0
8
0
0
0
24
24
0
8
0
0
8
8
8
16
0
0
8
8
0
0
8
0
0
0
8
0
0
0
0
16
0
0
16
16
0
0
8
8
8
8
8
8
8
8
0
0
0
0
0
0
0
0
0
4
8
4
9
0
16
16
1
0
0
0
22
22
22
2
16
3
0
8
2
0
0
16
0
0
0
8
8
0
0
0
0
16
16
0
8
0
16
8
4
0
24
24
24
0
0
24
8
8
8
8
4
16
16
4
4
8
8
0
4
0
0
0
16
0
0
16
4
0
16
0
0
4
4
0
17
1
0
0
0
0
0
0
0
0
4
12
12
12
14
8
0
0
0
0
0
0
16
12
0
8
0
16
0
0
0
8
0
16
16
16
0
0
0
8
8
0
16
8
8
8
8
8
0
0
0
8
8
0
0
2
2
0
0
0
0
0
16
8
16
16
8
8
0
8
0
0
2
2
0
0
16
8
8
8
0
0
0
16
16
40
8
0
0
8
16
0
16
16
0
0
1
1
1
24
24
16
0
0
0
0
17
21
0
0
0
0
8
0
0
0
2
16
0
0
0
0
16
0
8
16
16
0
0
0
47
0
0
16
0
8
8
0
0
0
0
0
20
8
16
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
4
25
25
25
0
0
0
20
36
0
8
0
2
2
0
0
0
0
0
24
24
0
0
7
7
0
0
0
2
16
4
0
0
0
0
0
0
16
4
16
0
0
8
0
16
16
16
0
0
0
16
4
4
0
8
0
8
8
16
0
0
0
0
16
8
1
1
1
1
1
16
16
8
0
0
0
8
8
24
16
0
0
0
4
4
0
8
1
0
24
0
20
8
16
0
8
0
0
8
16
16
2
2
0
8
8
8
0
0
8
0
0
0
0
0
0
0
0
8
4
16
16
0
0
0
0
0
0
0
0
0
24
0
0
4
8
36
36
36
0
0
0
10
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
1
8
25
1
0
4
0
0
0
0
18
0
8
8
4
16
0
4
0
8
0
0
0
0
16
21
0
0
0
0
0
8
0
0
0
0
0
0
43
0
0
0
0
0
0
0
0
0
40
8
8
16
16
0
8
8
0
0
0
32
32
32
32
32
32
0
0
16
8
16
0
2
22
22
22
0
0
0
0
0
25
2
2
2
2
2
0
0
0
0
0
2
0
0
0
0
2
0
0
0
0
0
4
0
0
0
0
0
16
4
8
0
0
0
0
0
0
8
0
0
16
16
16
0
0
0
0
0
0
0
0
0
0
8
0
8
0
0
18
0
32
0
16
16
16
16
8
8
0
0
0
0
16
8
0
0
0
0
8
8
16
0
0
8
0
0
8
0
0
8
0
0
0
16
8
8
16
8
0
0
8
0
24
0
4
4
8
16
0
8
2
0
0
4
0
0
0
1
8
8
8
8
8
8
8
0
8
0
4
0
2
16
0
0
0
0
0
0
0
0
16
0
0
0
1
1
17
4
0
0
16
0
0
16
0
0
0
0
1
0
24
16
0
1
0
0
0
16
2
0
0
0
0
0
0
0
8
8
8
8
8
8
0
0
0
0
8
0
16
0
0
0
0
0
0
0
0
21
8
8
1
0
0
8
0
2
29
29
29
29
29
29
0
0
8
16
0
0
8
0
8
8
8
2
2
0
0
0
0
0
8
4
0
0
24
0
8
8
0
0
0
0
2
0
8
9
0
0
16
0
0
0
12
32
32
0
0
0
1
16
0
4
4
4
4
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
32
32
0
8
16
0
0
0
0
0
0
0
0
16
1
1
0
0
0
24
24
24
24
0
0
0
0
0
0
20
2
8
8
8
2
0
4
0
0
16
0
0
16
0
16
0
0
0
0
0
16
16
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
29
29
29
29
29
29
29
29
0
0
0
4
0
4
0
0
1
8
0
0
0
1
12
6
0
0
8
0
2
2
0
58
48
0
0
0
6
6
0
16
0
0
0
24
20
20
0
16
16
8
8
8
0
23
23
31
0
28
0
0
0
52
0
0
0
8
8
0
0
16
0
0
0
16
0
0
0
0
0
0
0
0
0
8
8
0
0
0
8
2
0
0
0
0
0
16
16
16
16
0
0
8
0
0
0
0
0
0
0
8
0
0
8
0
0
0
2
2
0
0
0
0
0
0
0
0
8
0
4
0
0
32
0
0
0
0
0
0
16
0
8
16
24
0
1
8
0
0
24
24
0
16
4
16
0
0
0
0
0
8
8
0
0
0
0
0
24
8
0
0
0
0
0
4
16
8
20
20
24
16
8
8
8
0
0
4
8
8
8
8
4
24
8
0
8
3
3
3
8
0
0
0
0
0
0
0
0
24
0
0
0
0
0
16
16
16
8
0
0
0
0
0
0
0
0
16
16
16
0
0
0
16
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
4
4
4
8
8
16
16
8
0
0
16
0
0
8
16
0
0
8
8
0
0
0
0
0
4
26
20
0
0
0
0
1
0
0
0
0
0
0
0
8
8
41
8
2
32
7
0
0
8
8
0
20
0
0
0
8
0
0
0
0
2
0
0
8
54
8
0
0
8
0
0
0
0
0
0
0
0
0
9
20
16
8
14
0
0
0
0
8
0
8
1
1
28
2
2
2
8
0
0
0
8
8
26
8
0
9
32
32
0
2
2
8
8
0
16
0
0
0
0
1
0
0
0
0
0
0
8
8
8
0
0
0
0
1
1
0
0
0
57
57
8
0
0
0
0
0
4
8
8
0
0
0
0
8
4
0
8
8
16
8
0
24
4
0
0
0
0
0
0
0
0
0
0
24
0
0
0
0
1
24
24
24
24
0
0
0
8
0
10
0
0
8
8
8
16
4
4
8
4
4
8
8
4
4
0
0
0
32
0
0
0
0
4
0
0
0
1
1
1
0
2
17
16
16
8
16
8
0
4
4
4
8
8
8
8
0
0
0
1
1
1
8
16
0
0
0
0
8
8
8
0
0
8
0
0
0
12
8
8
0
0
0
4
24
0
16
16
0
4
2
16
12
0
0
0
0
0
16
0
16
8
8
8
8
0
32
0
24
16
0
0
2
0
0
24
0
0
0
0
0
0
0
0
0
0
16
16
16
0
0
20
4
24
0
0
16
1
0
0
8
8
8
8
0
0
8
0
0
0
0
8
0
0
16
0
8
1
0
6
0
8
0
0
0
0
0
0
0
0
16
28
8
4
0
0
0
0
0
24
24
24
24
0
0
0
8
0
8
8
0
0
0
0
0
0
0
1
1
0
0
4
4
0
22
16
16
16
16
0
8
16
0
28
8
8
0
1
0
0
0
24
0
0
0
5
0
0
0
0
4
4
4
17
0
0
16
8
8
0
8
8
0
8
8
0
0
0
0
0
2
0
44
0
8
0
16
16
16
0
0
0
0
0
0
0
8
0
0
0
8
0
0
0
8
0
0
0
8
16
34
32
0
0
0
1
0
1
0
0
8
14
14
0
8
8
8
8
8
8
0
0
8
8
8
4
0
0
2
8
0
0
8
8
8
8
1
0
0
8
8
0
0
16
4
4
8
0
40
16
16
16
8
8
16
8
24
8
8
8
1
16
24
0
0
1
1
1
0
0
2
2
16
0
0
0
2
0
40
0
8
0
4
8
8
16
0
0
8
0
2
4
0
0
18
0
2
2
2
0
0
0
1
4
4
0
16
0
0
0
0
16
16
0
0
12
8
0
4
4
0
1
1
16
16
8
0
0
0
0
8
0
0
0
8
0
0
0
0
0
0
16
8
8
8
11
0
0
0
8
0
40
16
16
0
0
8
16
28
0
4
4
25
8
8
8
8
8
32
0
0
40
0
0
0
0
8
0
0
1
1
0
0
0
0
0
0
4
0
0
16
0
0
0
0
8
32
0
16
8
0
0
8
16
4
18
8
0
0
0
32
0
16
0
16
8
0
8
0
0
26
0
16
8
8
8
8
4
2
8
0
0
16
16
16
0
8
0
0
0
8
0
0
8
8
8
0
8
8
0
4
4
16
8
8
0
0
0
0
2
2
0
0
0
0
8
0
8
8
8
18
18
16
0
8
8
8
8
0
0
0
0
0
0
0
0
0
0
4
8
8
8
8
8
4
8
20
8
1
0
8
8
2
2
20
0
0
16
16
16
0
0
16
20
8
16
16
0
0
8
0
0
8
8
8
8
8
0
0
0
0
0
0
0
0
0
20
0
2
2
16
16
1
1
1
1
8
8
16
16
4
0
8
49
0
0
8
8
0
8
8
8
16
1
0
0
8
8
0
8
0
0
8
8
0
0
1
1
0
16
0
0
0
0
0
0
8
0
2
8
8
0
0
0
8
12
12
12
16
0
0
8
0
1
8
0
4
4
0
0
8
8
40
40
0
16
0
0
0
0
0
8
1
0
0
4
0
0
0
0
8
8
16
20
16
16
4
8
8
0
0
0
0
4
0
0
0
0
20
0
0
0
0
0
1
1
0
0
24
0
0
0
1
0
8
16
20
24
24
0
4
4
4
4
0
8
8
8
0
0
4
8
0
8
9
18
0
0
8
8
8
0
0
8
8
8
0
0
0
17
8
8
6
24
24
8
8
0
0
1
1
1
1
1
0
0
0
0
8
16
0
0
16
4
0
0
16
18
19
16
44
44
44
44
40
4
8
8
0
18
4
0
0
0
0
0
36
36
12
8
8
0
0
8
8
0
0
5
5
16
8
16
16
16
0
4
0
0
0
0
0
8
8
8
16
1
0
0
0
0
0
0
0
0
48
0
0
0
2
2
0
0
0
0
0
0
0
0
8
0
16
16
16
20
20
20
8
50
8
8
0
0
2
0
0
6
0
48
24
24
0
0
0
20
0
8
0
0
0
0
14
16
16
16
16
0
16
8
0
0
0
0
0
0
0
16
16
0
0
8
17
0
0
0
24
24
16
8
8
16
24
8
8
8
16
8
25
2
2
0
0
8
16
16
4
16
32
8
1
1
0
0
8
11
4
12
8
24
0
0
0
0
0
8
0
16
0
0
16
16
16
0
8
8
0
0
0
16
16
16
0
1
1
1
1
1
1
1
0
0
0
0
29
8
8
8
8
8
0
8
8
0
0
8
0
12
8
0
0
0
6
6
6
0
16
4
4
4
0
8
8
8
8
0
0
0
1
1
1
0
0
0
12
8
16
1
1
17
2
2
1
1
1
0
0
0
2
0
0
8
8
0
0
32
8
8
0
8
0
0
0
0
0
0
0
8
8
8
0
0
1
1
0
10
0
8
8
8
16
16
16
0
0
2
0
4
0
8
4
0
22
0
0
0
0
0
0
0
0
0
20
0
0
0
0
8
0
0
4
4
4
16
0
0
14
0
0
0
8
8
0
8
8
8
0
0
8
8
8
8
0
0
22
0
8
8
0
0
8
8
0
4
0
0
1
4
8
3
3
0
0
0
0
16
16
16
0
0
0
8
8
8
8
29
4
8
8
4
4
0
2
8
0
0
16
0
0
0
0
0
0
0
8
0
4
1
36
36
9
9
0
0
0
0
0
24
0
0
8
0
4
4
4
24
24
8
8
18
0
0
16
17
17
8
8
8
0
4
4
16
24
24
18
16
16
16
8
8
0
0
0
16
0
4
0
0
0
0
0
4
4
4
24
0
23
0
16
16
16
0
0
0
0
0
0
0
16
8
8
0
0
2
2
2
0
12
0
0
0
0
0
0
0
3
3
3
0
0
10
2
0
16
16
16
16
16
16
0
0
5
0
8
8
0
1
1
1
0
0
8
8
0
12
0
2
2
8
0
0
0
0
8
8
0
0
8
8
0
0
0
0
0
0
0
8
0
8
0
0
2
12
18
0
8
0
0
8
0
8
0
0
4
0
1
8
0
8
8
0
8
0
1
16
0
0
0
0
0
12
16
16
16
0
0
0
24
8
0
0
4
8
1
0
0
0
0
0
4
0
0
8
4
2
2
2
2
8
8
0
0
0
0
0
0
8
8
8
8
8
8
8
8
0
16
0
0
8
8
12
8
0
0
1
1
0
0
0
4
4
0
16
0
0
8
0
16
0
17
0
8
0
0
0
0
16
16
16
2
4
0
8
18
18
18
18
0
0
0
16
0
0
0
8
0
0
16
0
0
0
8
0
0
0
8
0
16
0
16
16
12
0
0
8
8
0
0
0
0
0
8
0
0
8
16
0
0
24
16
16
16
16
16
16
16
16
16
16
0
0
0
0
6
6
0
8
40
8
8
0
0
0
0
0
4
0
0
16
0
0
0
0
0
0
8
8
8
8
0
0
12
8
8
0
0
8
8
8
0
18
8
8
8
8
16
16
0
0
22
22
0
0
4
8
8
0
0
0
8
0
0
16
16
16
16
16
0
4
4
8
8
0
8
0
8
0
0
0
0
16
16
16
0
0
18
4
8
16
0
20
8
8
8
0
0
0
0
8
0
0
0
0
0
8
0
0
6
6
0
32
0
0
0
8
0
0
0
0
0
0
0
4
0
0
8
0
16
0
0
0
0
8
0
4
0
8
8
8
0
0
2
2
6
0
0
8
16
24
24
24
0
4
8
8
8
1
24
8
16
0
0
0
0
0
0
9
9
9
9
0
0
0
0
0
8
1
0
0
13
4
16
0
0
18
0
0
0
16
4
0
8
0
8
0
32
32
0
16
16
16
16
16
0
8
0
0
8
0
0
0
8
0
0
0
0
2
0
0
0
1
1
4
8
16
0
0
4
8
8
0
0
16
16
0
0
0
0
8
8
8
8
0
8
0
0
8
10
0
1
0
0
3
0
16
0
0
0
32
0
8
1
0
0
16
0
4
0
0
24
2
2
0
1
1
1
1
8
0
0
0
0
0
0
0
20
0
2
0
0
0
8
8
16
0
6
6
0
0
0
0
8
22
22
0
0
16
0
8
8
8
0
8
8
0
0
2
2
8
1
0
4
0
0
8
8
8
0
16
16
0
0
0
0
16
0
0
0
16
16
16
32
0
9
16
16
0
2
0
16
16
16
16
0
8
8
8
8
8
0
0
8
8
0
0
24
16
0
28
8
8
8
0
0
0
0
0
1
24
24
0
0
2
16
16
16
0
9
0
0
16
4
0
0
8
8
8
0
0
24
24
0
0
16
16
16
16
8
0
0
0
0
0
4
4
4
0
8
1
0
0
0
4
8
0
0
8
0
20
36
16
0
3
25
0
0
0
0
0
4
8
0
1
1
1
16
8
0
16
0
2
8
0
24
0
0
0
0
16
8
8
1
0
0
8
0
0
0
0
0
0
0
0
0
0
4
20
0
4
4
4
0
0
0
8
1
1
1
2
40
40
8
0
8
0
16
16
16
0
0
16
0
0
0
8
6
1
8
8
8
0
8
8
8
8
0
8
8
9
4
16
16
2
0
0
0
0
32
8
8
16
2
16
0
33
33
0
8
8
8
8
8
8
8
10
0
2
0
0
0
0
0
2
0
4
0
20
0
0
0
0
24
16
20
4
4
0
0
16
16
2
2
0
0
0
16
0
8
0
0
8
0
8
8
8
20
0
0
0
0
0
0
0
0
0
0
16
16
0
24
0
0
0
0
1
1
8
0
0
0
0
8
1
8
8
8
8
0
48
48
0
0
1
1
1
0
49
33
8
0
8
8
8
8
0
0
8
0
0
0
0
0
8
8
8
8
0
8
16
16
0
0
2
2
7
4
4
1
1
8
8
0
0
0
8
0
4
4
4
0
8
8
0
14
14
0
0
0
8
8
0
8
8
0
0
20
0
0
4
0
0
0
0
17
4
0
16
0
0
0
8
10
0
0
8
0
0
0
0
0
0
8
0
0
8
8
24
16
0
0
0
24
4
0
0
0
0
0
0
0
0
16
16
0
0
0
0
8
0
0
0
0
1
1
0
0
0
0
0
4
16
11
0
16
0
0
16
1
1
0
4
4
4
4
0
2
8
8
0
0
0
0
8
8
8
56
8
20
0
0
0
0
0
0
8
0
8
0
8
0
28
0
0
2
0
16
0
0
8
8
0
3
0
2
2
8
1
2
16
16
0
0
0
0
4
8
8
0
33
0
8
24
8
0
16
8
8
0
0
0
16
0
1
0
1
0
0
0
0
0
8
8
0
0
10
1
0
0
0
0
0
16
8
0
0
18
0
0
0
4
4
8
8
8
0
4
4
32
0
0
0
0
0
0
0
0
0
0
0
0
0
20
4
18
16
30
0
0
8
16
16
16
8
9
9
9
9
0
16
0
0
0
0
0
3
3
1
16
0
0
1
32
0
0
16
16
24
24
0
0
0
0
4
0
0
4
1
4
4
4
4
4
8
8
8
8
1
16
0
0
0
0
16
0
0
16
8
8
2
0
0
0
0
1
0
1
41
0
4
0
26
0
0
8
16
1
0
16
16
0
0
0
0
0
0
0
16
0
0
4
0
0
0
16
16
16
16
0
0
0
0
12
12
0
8
16
16
0
16
8
0
0
21
0
0
0
0
0
16
0
0
32
0
8
8
8
8
8
8
0
0
0
0
0
8
1
4
0
22
0
0
0
16
16
0
0
8
0
8
8
8
8
0
0
48
16
0
0
0
8
8
4
0
8
8
0
0
0
0
0
0
4
4
0
12
12
0
17
16
16
1
8
8
8
8
5
0
0
0
8
16
0
8
12
8
8
8
16
0
0
0
20
20
4
21
21
21
21
16
16
16
0
0
0
0
0
0
8
0
3
0
0
16
16
8
8
0
4
4
0
0
0
10
0
4
0
0
0
8
16
16
0
1
1
0
0
0
0
0
18
8
8
0
0
16
16
0
0
16
0
4
4
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
16
16
16
0
0
0
8
8
8
0
0
16
32
32
0
0
0
0
9
9
0
0
5
5
5
16
0
0
24
24
24
0
0
0
8
16
20
16
16
0
0
0
16
40
0
0
0
8
1
16
16
1
1
1
1
1
0
8
0
0
8
0
0
0
0
0
0
0
0
0
56
8
8
8
8
2
8
8
0
0
8
4
0
0
0
0
8
8
17
8
8
8
8
0
4
4
16
16
16
0
0
16
4
8
0
0
0
0
36
0
8
8
8
0
0
0
0
8
0
0
19
0
0
16
8
0
8
0
0
8
8
48
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
2
0
0
16
16
16
16
0
0
8
0
0
16
4
0
8
20
4
1
16
0
0
4
0
4
0
0
8
2
2
4
0
16
16
16
4
8
8
16
16
0
24
2
0
0
16
16
16
0
0
1
2
16
41
24
4
16
1
1
1
1
1
1
0
0
0
0
0
8
2
2
0
0
26
0
0
0
0
0
16
0
16
0
4
4
16
16
28
8
0
0
0
0
0
0
0
8
8
0
0
0
16
0
8
0
36
2
8
0
0
0
0
17
17
16
0
0
20
0
0
32
0
1
0
12
12
4
17
0
8
24
8
0
0
0
12
1
8
16
0
0
8
8
0
0
16
16
16
19
1
16
16
0
0
16
16
17
40
0
0
0
24
0
0
0
0
0
29
2
1
1
0
8
8
0
0
8
8
8
8
8
8
8
8
16
0
0
0
0
0
0
1
8
24
24
0
0
5
0
16
0
32
0
0
0
0
0
0
8
20
16
16
0
0
0
0
0
0
0
27
1
0
0
0
25
8
8
0
0
1
4
1
0
0
0
0
0
0
0
0
1
1
8
0
0
8
8
8
8
0
0
0
0
0
16
16
0
16
16
16
0
0
0
0
16
16
8
0
16
8
8
8
6
0
30
22
16
8
8
0
8
8
8
16
16
16
16
0
0
4
8
0
0
0
8
8
0
2
2
0
0
0
0
0
8
8
8
18
18
18
37
37
0
0
0
0
0
16
16
16
8
8
0
0
4
8
8
8
14
14
8
0
16
0
2
0
0
16
0
0
4
4
0
0
16
16
16
0
0
0
16
0
0
18
18
18
8
8
8
8
8
0
0
0
4
4
26
0
8
1
1
1
1
0
0
0
0
0
8
8
8
0
0
0
0
0
0
9
0
0
0
4
0
0
0
8
8
0
0
0
0
24
0
0
0
8
0
8
8
8
8
8
8
0
0
0
16
8
8
8
8
8
8
8
0
0
0
0
0
8
8
16
0
4
4
0
0
8
18
18
2
16
8
0
2
2
16
0
0
16
0
0
0
24
24
8
0
0
0
0
4
9
9
16
0
0
0
8
8
16
8
18
18
16
16
16
16
0
8
0
0
0
0
0
0
8
8
0
0
0
0
0
8
8
8
0
0
0
8
16
0
0
8
0
0
2
0
2
0
16
16
16
8
0
0
24
0
0
0
0
16
16
8
8
0
0
16
1
1
0
1
8
0
0
0
8
8
8
8
0
0
4
16
24
0
4
0
0
0
0
16
8
0
8
2
8
0
0
0
0
8
0
0
8
8
8
0
24
5
16
16
0
0
0
6
2
0
8
8
8
0
0
4
0
0
16
16
4
0
16
0
0
0
0
8
0
0
0
0
0
0
24
0
0
0
0
1
1
8
8
8
8
16
1
0
0
0
0
0
0
0
0
0
0
0
0
4
4
8
0
0
16
0
0
0
0
0
8
0
0
0
0
0
0
0
0
24
16
0
0
8
8
16
16
8
8
10
10
10
4
4
4
4
4
4
4
4
4
6
8
0
0
0
0
8
0
0
0
16
8
8
8
8
8
12
0
24
8
8
0
0
0
0
0
0
0
8
2
0
9
0
16
0
6
6
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
24
8
4
4
16
0
0
0
16
0
8
0
0
0
0
8
29
25
4
0
8
8
8
2
2
8
8
16
16
8
2
2
2
2
0
0
0
2
16
2
2
2
0
9
9
16
16
16
16
0
16
16
0
8
16
16
0
8
8
16
16
16
0
0
0
0
24
0
0
0
0
1
1
1
8
2
0
0
0
0
0
20
0
12
8
0
0
0
8
0
24
24
24
0
0
8
0
2
4
4
8
0
0
0
0
0
13
8
8
8
0
0
0
0
0
0
4
0
17
8
12
12
16
0
0
0
0
0
12
8
8
8
0
0
0
0
0
0
16
16
16
0
0
0
25
25
1
8
0
0
0
0
1
16
0
8
8
8
8
16
0
16
16
0
0
16
0
0
0
24
0
0
0
0
0
0
0
13
13
13
13
13
16
1
8
0
0
0
0
0
8
8
8
8
8
8
0
8
16
16
1
0
0
0
0
0
0
0
0
16
0
0
0
0
16
0
0
16
33
33
33
0
9
0
18
18
18
0
24
11
9
0
2
0
0
0
0
0
0
0
16
0
8
18
18
0
0
8
8
0
16
2
2
2
8
16
0
8
0
20
16
5
8
8
0
8
8
16
16
16
16
16
8
8
0
0
0
0
0
0
8
0
0
16
16
2
8
0
0
8
2
0
0
8
2
2
32
8
8
8
8
0
2
0
26
26
0
0
0
24
4
0
0
0
0
0
0
8
0
16
16
16
0
0
0
0
0
0
0
1
8
8
0
8
8
0
0
16
16
8
0
16
1
16
16
2
0
0
0
0
0
0
19
0
8
0
19
0
0
0
1
0
32
0
0
2
32
32
32
0
0
16
16
0
30
8
0
4
8
0
0
0
0
0
0
8
0
0
8
8
16
0
0
0
16
16
16
16
16
8
8
8
0
0
16
1
8
2
16
0
24
0
0
0
8
8
8
8
0
16
8
24
24
0
0
0
0
1
1
1
0
32
18
8
8
8
8
24
0
8
4
0
4
4
0
1
1
1
1
20
8
1
2
18
2
0
0
0
2
0
0
0
1
1
8
8
0
1
1
8
8
1
0
0
8
0
0
32
32
32
0
0
0
0
0
4
9
8
8
8
0
0
0
0
8
8
0
0
0
17
20
0
0
16
16
8
8
8
8
24
0
18
18
18
8
0
0
8
8
8
8
2
2
0
0
0
16
0
32
32
8
0
0
0
0
0
24
8
8
8
16
0
0
0
1
0
0
0
0
0
0
16
1
17
17
0
2
0
0
0
0
0
4
0
16
4
4
0
0
16
16
16
16
8
16
16
0
0
0
0
0
0
1
8
17
0
0
0
16
8
8
0
0
0
0
0
8
4
4
8
0
0
4
4
0
16
8
8
0
0
0
0
0
16
0
0
8
8
8
8
8
0
0
0
8
8
8
4
0
16
8
0
8
0
0
24
0
0
1
1
16
16
8
8
8
8
28
24
24
1
0
0
0
0
8
8
0
1
0
16
16
4
0
0
0
0
0
16
16
16
16
16
16
24
0
0
0
0
0
32
4
0
16
16
18
16
8
0
0
16
16
0
0
0
0
0
8
8
8
0
16
0
8
10
10
0
1
1
0
8
0
0
0
8
8
1
1
1
1
0
8
25
1
1
24
4
0
8
8
4
0
1
1
1
0
0
16
16
0
1
16
2
0
2
0
32
0
0
1
0
0
0
6
4
18
8
0
0
0
0
0
0
0
32
32
32
9
0
0
0
5
5
1
1
1
1
1
1
1
1
0
8
8
0
32
0
0
0
6
0
12
0
8
16
16
0
16
0
0
0
0
0
0
0
2
4
4
1
0
0
16
16
0
8
4
0
8
0
0
0
4
4
4
8
0
0
0
1
0
16
16
16
0
1
1
2
8
8
10
10
0
0
8
8
8
0
0
0
0
0
16
0
4
0
0
0
0
0
0
0
0
16
16
4
8
0
8
8
27
8
16
0
16
0
0
0
0
16
0
0
0
16
16
16
0
17
0
0
0
0
0
0
16
0
2
1
0
8
0
8
0
4
0
1
16
0
0
8
9
9
9
12
12
12
12
12
6
0
16
16
16
16
16
8
8
8
16
16
8
16
0
0
0
0
0
0
61
0
0
8
0
16
16
16
0
16
16
16
16
0
0
16
8
0
0
8
16
0
0
1
0
0
8
4
0
0
0
0
0
16
16
2
2
0
0
0
4
8
8
8
0
17
17
0
2
6
2
10
8
0
2
0
8
0
24
8
0
0
8
0
5
16
8
8
12
16
0
0
16
20
48
8
0
0
0
0
16
4
4
9
16
0
32
0
0
8
8
0
8
0
0
0
9
0
0
0
0
4
0
0
0
8
0
8
8
8
0
0
20
0
0
4
0
0
0
24
2
0
4
8
8
16
8
16
16
0
16
0
8
0
0
0
4
0
0
0
0
0
0
0
28
28
28
16
16
16
0
0
0
0
0
2
0
0
0
0
8
8
0
2
2
1
1
8
8
0
0
1
17
1
10
10
0
8
0
16
16
0
8
8
16
2
2
8
8
0
1
1
0
24
24
24
8
0
16
8
16
0
0
0
37
37
0
0
2
16
2
41
41
41
0
0
18
16
16
16
0
0
0
0
0
16
16
16
16
8
8
0
0
0
16
4
8
0
0
0
0
0
0
8
8
8
0
8
0
0
0
0
2
0
8
0
0
0
2
0
8
8
8
45
0
0
1
0
2
0
8
2
32
0
0
0
36
24
16
0
0
0
0
0
6
25
0
0
0
8
0
2
0
0
16
16
16
8
4
4
4
4
0
8
0
20
16
8
24
1
0
8
8
0
0
0
13
13
13
1
8
8
0
0
16
8
16
8
0
0
1
1
8
16
0
0
0
1
16
16
24
8
0
4
4
4
4
4
20
0
1
1
1
1
10
10
10
8
8
4
4
4
4
4
0
0
8
8
8
8
8
0
0
0
0
0
8
0
0
0
4
4
4
4
4
0
0
0
8
2
8
8
8
0
16
16
0
1
0
4
4
4
0
0
0
0
0
0
0
0
12
0
0
1
16
0
0
0
4
0
4
2
4
0
0
31
0
8
0
0
0
19
0
4
2
0
4
4
16
16
16
16
1
20
20
8
8
0
1
8
0
0
0
0
8
0
0
0
8
16
16
16
16
8
0
8
8
0
2
0
0
0
0
1
16
0
16
0
0
0
0
0
16
16
0
0
18
16
16
4
4
0
24
4
8
0
0
16
16
32
0
0
8
0
0
2
2
0
0
0
0
8
0
0
0
8
34
16
0
0
0
0
0
0
32
16
16
0
4
8
8
8
0
0
0
8
0
0
0
16
0
0
0
0
0
0
0
2
8
9
0
0
0
0
8
8
0
10
11
8
8
8
8
0
0
0
8
4
0
0
8
16
16
1
8
8
12
8
0
16
29
29
8
17
17
4
0
4
4
4
0
0
4
0
16
16
16
8
8
0
0
0
0
0
0
0
28
28
0
4
0
0
0
0
0
0
0
0
0
8
48
8
8
1
0
8
0
0
0
4
8
0
0
0
16
8
8
8
0
8
8
28
0
0
16
16
0
32
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
8
8
8
1
0
8
24
24
16
1
0
0
0
8
16
0
0
16
0
12
0
16
0
0
8
8
32
32
0
0
0
0
0
0
16
16
20
0
0
0
0
0
8
8
4
4
0
0
0
32
32
0
4
0
1
1
4
4
8
8
16
8
0
13
13
0
8
8
0
0
2
0
0
0
0
8
2
0
0
8
8
4
0
0
0
0
0
0
0
0
0
0
0
1
0
8
8
16
0
0
2
2
0
8
16
6
8
0
16
16
8
46
46
46
46
46
46
0
16
0
0
0
16
8
0
0
0
0
0
32
32
8
8
0
0
0
4
4
0
0
4
0
0
0
0
8
8
0
4
4
0
2
2
2
0
8
0
0
0
0
16
16
16
4
0
0
0
0
0
0
4
0
0
0
8
0
0
8
8
8
16
16
0
0
0
0
0
0
4
4
2
2
16
0
0
4
4
0
0
0
8
0
0
16
0
8
0
16
8
8
8
8
8
24
0
0
0
0
8
0
0
0
4
0
0
0
8
2
0
2
32
32
32
32
1
0
0
2
8
0
0
0
0
0
8
0
0
8
24
24
24
2
0
0
2
2
0
12
0
0
0
18
1
8
8
0
56
0
0
16
0
0
36
36
0
8
8
0
0
0
8
0
0
0
0
2
8
8
0
0
0
8
0
0
0
0
0
0
0
4
4
4
0
0
0
0
0
0
2
0
2
0
0
0
6
0
2
2
0
0
0
4
4
0
0
0
0
0
8
1
6
0
0
8
0
0
0
0
0
0
0
4
16
0
0
0
0
0
0
0
0
0
0
2
2
0
8
0
6
0
1
17
0
0
0
0
10
16
2
8
0
0
0
50
0
4
4
8
16
2
2
0
8
8
24
24
8
0
8
0
0
9
0
16
16
0
0
0
8
0
0
0
8
8
0
0
1
8
0
0
16
16
16
16
16
16
16
16
2
8
8
0
0
0
0
0
0
0
1
8
8
0
0
0
0
0
0
0
0
2
32
0
0
0
0
0
0
0
0
0
2
0
16
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
8
8
8
0
16
0
0
16
0
0
0
0
0
0
1
1
0
0
7
0
0
0
0
0
0
16
0
0
8
0
0
0
0
0
8
8
16
0
0
0
0
0
0
4
0
0
0
0
0
0
16
0
0
0
8
8
8
8
0
0
0
0
8
8
8
0
4
2
0
12
0
19
0
0
0
0
7
7
0
8
0
0
0
0
8
16
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
52
20
0
16
0
0
0
0
0
0
0
0
0
4
4
0
16
16
0
0
0
0
32
8
8
0
0
24
0
0
8
0
0
0
8
0
0
0
0
0
0
17
17
0
0
0
0
8
8
0
0
0
0
4
0
1
1
1
0
0
0
8
0
4
0
16
0
8
8
22
22
41
8
0
0
0
0
0
16
16
26
16
8
16
0
0
40
0
0
0
0
0
0
0
0
8
0
0
8
0
0
0
0
0
2
16
16
12
0
0
0
0
0
16
8
0
0
0
0
0
16
0
0
0
8
0
0
4
0
1
0
0
24
24
24
24
1
8
8
8
8
0
2
9
0
11
11
0
0
0
0
0
0
0
0
18
4
1
20
0
8
0
0
0
0
16
0
0
0
16
0
8
16
0
0
16
16
0
0
0
16
0
0
0
0
0
0
0
0
8
16
4
4
0
4
0
0
0
0
0
0
0
0
16
8
0
0
8
0
0
0
8
8
20
0
0
0
0
0
0
16
4
26
26
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
8
0
0
0
0
0
8
0
0
0
16
0
0
0
24
0
0
0
0
0
16
8
0
0
0
0
1
0
0
0
0
0
1
1
3
3
3
34
12
12
12
12
0
0
0
4
4
4
0
0
0
0
0
0
0
0
0
0
0
0
2
8
0
0
0
0
16
16
20
20
0
0
0
0
0
0
0
0
0
4
17
0
0
0
0
0
0
0
2
2
0
0
0
0
8
0
0
0
0
0
18
1
8
4
0
0
8
0
1
8
0
0
2
8
8
0
0
8
8
0
5
5
5
0
0
16
0
0
0
8
0
0
8
8
2
0
0
8
8
0
0
0
0
8
8
0
0
0
16
16
0
0
2
1
1
1
0
0
0
0
0
0
0
0
0
16
8
24
24
24
0
0
0
0
0
9
0
0
0
0
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
4
4
4
0
16
1
8
8
0
32
0
1
16
16
0
4
0
0
0
0
8
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
32
32
16
9
0
0
0
0
0
0
0
0
1
12
12
2
17
17
0
8
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
0
0
0
0
0
0
0
0
16
0
10
0
0
4
0
0
0
0
0
0
0
0
8
8
4
0
0
0
0
16
16
2
0
0
0
16
0
0
0
0
5
0
8
8
8
0
0
20
0
4
4
0
0
17
8
0
0
0
8
8
1
1
0
0
0
1
0
8
0
0
2
4
4
0
0
0
0
0
0
8
0
0
16
0
0
0
0
0
17
17
0
0
0
8
16
0
4
0
17
0
8
8
8
8
8
0
0
0
0
16
16
0
0
0
0
0
20
0
0
0
0
0
0
0
24
0
0
8
8
16
0
8
0
2
2
2
1
1
0
0
0
0
48
48
48
1
1
0
4
4
0
0
0
0
0
0
4
0
0
0
6
4
0
4
3
0
0
0
0
0
8
8
16
0
24
8
18
18
0
0
0
16
0
16
8
0
0
0
0
16
0
1
0
0
16
16
0
0
0
0
8
8
0
16
16
0
0
0
0
8
0
21
21
21
21
0
0
0
0
16
16
16
8
17
17
0
8
0
0
0
16
16
16
0
0
16
0
16
16
0
0
8
8
0
8
8
48
0
16
0
0
0
0
0
0
1
1
0
0
0
0
0
0
25
0
0
0
0
4
4
8
8
0
0
0
24
1
0
0
0
16
16
8
8
0
16
0
0
0
0
0
0
8
8
8
8
0
25
25
25
25
1
0
0
0
0
8
0
16
0
16
0
4
0
0
0
0
0
0
1
1
8
2
2
2
4
4
4
0
0
0
0
16
4
4
1
20
20
20
0
0
0
0
0
17
0
0
0
0
0
0
0
8
0
0
12
12
8
0
0
0
8
0
0
0
0
24
24
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
0
0
0
0
16
16
0
8
12
0
0
0
8
8
8
10
8
8
16
16
0
0
0
0
0
0
4
1
8
24
24
24
0
0
0
0
0
0
0
8
8
8
0
0
0
0
8
4
0
8
0
0
8
0
8
16
16
16
1
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
8
8
0
8
0
0
0
0
9
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
8
8
0
0
8
0
0
0
16
16
8
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
16
16
16
0
0
0
0
4
1
4
4
4
0
1
1
0
0
8
0
0
5
4
8
0
0
0
2
2
0
8
8
0
16
0
8
0
0
8
6
0
0
20
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
2
26
16
0
0
8
16
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
8
8
8
0
3
8
16
16
16
16
8
8
8
8
8
0
16
0
0
16
16
2
0
0
4
4
0
0
0
0
22
4
0
0
0
0
0
0
0
16
0
4
0
0
0
0
0
16
16
16
1
0
8
8
0
0
8
0
4
0
0
0
4
0
2
1
0
0
0
0
0
0
8
0
4
0
1
0
0
0
0
0
0
8
0
0
0
16
0
0
0
0
0
2
2
0
0
0
16
16
17
0
0
0
0
8
0
0
0
0
0
0
0
16
4
4
0
2
2
16
0
0
0
0
0
8
0
0
1
0
8
24
0
0
1
1
0
0
0
0
3
0
0
0
0
0
0
0
0
0
4
4
0
0
0
0
0
8
8
8
0
0
9
9
0
36
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
20
20
20
8
0
0
8
1
0
0
0
38
0
0
16
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
4
16
16
14
8
0
20
8
8
8
2
0
6
8
0
0
16
16
16
0
8
0
4
13
0
0
0
4
2
2
4
2
48
48
9
16
16
0
0
0
8
8
0
0
0
0
0
0
16
1
32
0
0
0
0
0
0
0
0
0
0
0
46
8
16
0
24
24
24
24
24
0
0
0
0
0
0
4
4
4
0
8
0
0
2
0
0
4
0
0
0
0
0
0
16
16
2
8
0
0
16
0
8
8
0
0
4
0
19
19
20
20
16
8
0
3
33
4
4
0
0
0
0
0
12
12
1
0
0
0
0
24
0
0
8
8
0
0
0
0
2
2
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
8
0
0
0
0
8
8
0
0
17
0
0
0
16
0
4
0
0
16
0
8
0
0
8
16
0
8
4
4
0
0
0
0
0
0
0
0
0
0
0
8
1
0
16
16
0
20
0
0
1
0
2
0
0
0
0
0
0
0
0
0
0
34
34
0
8
0
0
0
0
0
16
16
2
0
0
2
8
0
0
0
0
12
40
0
0
12
12
0
0
0
0
4
0
0
0
16
2
2
0
0
0
0
0
0
0
0
0
0
40
40
0
0
0
0
1
1
16
16
8
8
8
0
0
0
0
16
0
0
0
0
0
2
24
0
0
4
8
8
0
0
8
4
8
2
0
0
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
28
28
16
8
0
0
0
0
0
16
8
8
25
0
0
4
0
8
16
0
6
8
8
8
0
0
0
8
0
0
0
0
0
0
0
0
0
0
8
8
8
24
0
4
4
0
2
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
20
20
0
8
8
1
0
0
0
0
0
0
8
0
0
0
1
1
1
1
1
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
8
0
0
0
0
16
24
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
8
8
0
16
0
1
1
16
0
0
0
0
0
0
0
4
8
8
17
0
0
0
0
0
16
0
4
0
0
0
0
2
16
0
8
0
8
24
16
0
0
0
0
0
0
8
16
0
8
8
2
2
0
0
0
0
0
0
0
8
0
0
0
4
0
0
0
0
1
1
1
8
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
8
8
8
0
4
0
0
0
0
0
0
8
8
0
0
0
0
2
0
0
8
0
16
4
0
48
0
0
0
28
0
16
16
16
0
0
0
1
0
0
16
16
0
0
0
0
2
16
0
0
0
0
0
8
0
16
16
8
0
0
0
8
8
8
0
0
0
16
0
0
0
0
0
8
8
0
16
0
0
0
0
0
0
4
1
4
0
0
0
0
3
0
0
0
0
9
0
0
0
0
16
16
1
8
4
8
16
16
0
8
16
16
4
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
1
0
24
0
0
24
0
0
4
0
0
0
0
16
18
18
0
0
0
0
0
0
2
0
16
0
0
0
0
0
0
0
0
0
40
0
0
0
0
0
32
0
0
0
0
8
0
8
8
8
8
8
0
0
0
0
0
16
0
0
8
8
20
20
16
9
8
16
0
0
0
21
0
0
4
8
8
18
4
0
0
0
0
0
8
8
0
0
0
0
4
4
4
0
8
8
0
0
0
0
0
0
16
8
0
0
0
0
20
20
20
0
0
0
0
4
0
0
0
0
1
1
16
0
0
0
0
24
16
0
0
0
0
0
0
2
2
2
2
8
8
0
0
0
0
0
0
0
0
0
8
8
4
4
48
0
8
0
1
0
0
4
1
0
0
0
0
0
0
0
0
0
0
24
0
0
0
0
0
0
0
0
0
0
16
0
8
0
0
4
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
12
0
8
8
28
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
20
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
8
0
0
0
24
0
0
0
0
0
0
25
0
0
8
16
0
0
0
0
0
0
1
1
1
24
4
0
0
0
0
16
16
16
16
0
8
0
0
0
0
0
0
18
0
0
0
4
4
16
16
2
2
0
1
0
0
0
0
0
0
0
0
0
0
24
24
0
0
0
0
0
8
8
4
0
16
16
0
0
0
0
4
16
0
0
0
0
0
0
0
0
8
8
0
2
8
8
8
0
0
0
0
0
0
0
16
0
8
0
0
0
0
0
0
16
14
0
0
0
0
16
32
32
20
20
16
16
16
0
8
8
16
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
17
17
0
0
0
0
0
0
4
4
0
0
0
0
0
16
0
0
0
1
1
0
0
0
8
0
0
8
16
8
0
0
0
0
8
0
0
2
0
0
0
0
0
0
0
16
0
0
0
0
21
0
16
0
0
0
0
0
24
24
0
0
0
7
0
0
8
0
0
0
16
16
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
24
0
0
0
8
0
40
0
0
0
0
0
0
0
0
0
0
0
16
0
2
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
8
0
0
0
0
0
0
0
0
8
20
0
0
27
27
27
0
0
33
33
8
8
2
8
8
0
8
0
0
1
0
0
0
0
0
1
4
8
16
0
0
0
16
8
2
0
0
0
0
0
0
0
0
0
0
0
0
18
8
8
8
14
0
24
0
8
0
8
8
8
8
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
16
16
16
16
8
16
16
8
0
0
0
4
8
0
0
8
0
0
0
0
0
0
0
8
0
0
0
0
0
4
4
4
0
0
0
0
0
0
16
0
8
8
8
0
0
0
0
0
0
0
0
0
16
0
10
0
0
0
0
0
0
8
8
4
4
4
4
0
0
8
1
8
0
0
0
25
0
1
4
0
0
0
0
8
8
0
6
0
0
0
0
2
12
1
0
0
8
16
8
4
0
0
0
8
0
0
16
16
0
0
2
2
2
8
0
0
0
0
0
0
0
8
8
0
0
0
8
0
0
0
0
0
4
6
6
6
6
8
20
0
8
16
16
16
16
0
4
4
4
0
0
0
0
0
8
8
0
0
0
4
8
0
8
8
10
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
28
8
2
2
2
16
16
0
0
21
0
0
0
0
0
0
4
0
1
0
0
16
2
0
0
0
0
0
0
0
4
0
1
0
1
1
0
0
0
16
0
0
0
8
1
0
0
0
8
0
0
0
0
0
8
4
4
0
0
0
20
20
20
8
8
8
8
4
8
24
24
16
16
16
37
2
0
0
0
4
10
10
10
10
8
24
8
0
0
32
32
0
1
1
1
1
8
2
2
2
24
0
16
16
4
0
1
1
0
1
1
1
16
16
16
16
16
16
0
0
8
16
1
1
1
1
4
0
0
0
0
0
17
0
0
2
2
2
2
2
2
0
0
32
1
2
0
0
20
2
24
16
8
8
0
8
0
0
20
5
8
0
0
4
16
0
8
0
0
8
4
8
8
0
0
4
0
0
0
0
8
1
2
0
8
0
16
17
1
16
16
8
8
0
0
8
60
0
1
0
0
0
16
20
16
16
0
8
41
2
2
16
8
12
17
0
0
8
2
2
16
24
8
1
1
1
1
0
0
0
0
1
0
0
0
4
10
0
8
0
8
0
16
16
0
0
16
16
4
16
16
16
16
16
0
0
8
16
8
0
0
4
20
20
4
0
24
24
2
2
62
0
0
0
16
16
0
16
16
16
26
0
0
0
0
0
8
16
5
5
8
8
8
0
0
0
8
4
8
4
8
8
8
0
8
2
2
2
8
8
8
8
8
0
0
0
2
18
8
16
0
8
20
0
12
16
0
0
16
16
4
0
2
3
8
8
8
8
8
0
0
0
16
8
16
16
16
8
8
8
8
0
1
16
16
0
32
0
0
25
0
0
16
0
25
25
0
4
4
4
4
4
4
4
4
4
20
16
16
12
4
16
16
0
0
0
8
8
8
8
0
0
4
0
0
0
0
0
0
1
1
8
8
1
1
16
16
0
0
16
16
0
8
0
8
0
8
0
0
0
0
0
41
41
8
0
0
0
0
0
40
2
2
0
20
20
16
16
0
0
0
0
16
16
0
8
8
0
4
4
16
8
1
0
16
32
8
8
0
0
0
0
8
2
8
1
16
22
18
24
16
16
16
8
8
8
0
16
16
16
6
8
0
0
0
0
16
16
16
0
10
16
4
4
8
8
8
1
1
16
0
0
8
0
0
0
16
0
0
8
8
8
8
0
8
0
32
0
4
4
35
35
16
16
0
8
8
8
8
48
16
2
2
6
4
4
4
4
4
8
8
20
20
20
16
16
0
32
17
17
0
0
0
0
16
0
17
1
1
1
1
0
24
8
4
4
0
8
0
0
0
0
0
8
8
0
8
8
0
0
0
0
0
0
8
8
8
16
16
32
8
8
8
4
32
0
4
1
0
0
8
9
9
8
8
0
8
8
10
4
0
8
0
1
2
2
2
2
2
18
2
8
8
0
8
8
9
1
1
1
17
0
0
8
13
28
28
0
0
32
20
16
16
16
16
0
8
8
0
0
8
0
0
8
8
8
8
8
0
16
8
0
8
8
4
8
8
8
8
16
16
16
16
0
0
0
18
2
8
8
1
0
1
0
0
0
0
0
16
16
16
16
20
0
0
0
0
0
0
17
1
0
0
0
0
32
4
41
41
0
8
0
0
0
0
0
0
0
25
1
1
17
0
16
26
26
26
0
0
54
54
8
8
8
8
0
16
16
0
0
16
16
0
1
16
16
16
16
0
0
0
8
0
1
16
0
8
0
0
0
16
16
16
4
8
4
2
4
8
0
0
16
0
0
0
16
8
8
2
20
20
20
8
16
8
8
16
4
0
16
32
32
32
0
8
8
56
0
0
1
32
32
8
8
0
40
8
1
0
2
0
8
0
1
8
0
0
0
2
8
8
0
1
1
2
0
0
0
8
8
4
4
4
4
24
0
0
4
4
16
17
0
0
0
0
0
24
0
0
1
16
2
8
0
8
0
0
0
0
4
0
32
32
1
1
48
18
2
16
16
4
4
8
0
0
0
0
4
4
4
8
8
8
8
8
8
8
6
6
0
8
8
5
0
0
8
8
0
8
8
8
8
8
8
8
0
1
4
2
8
10
8
8
0
0
20
0
16
8
8
5
2
6
4
8
8
16
0
0
0
0
0
2
0
0
2
0
0
0
16
16
16
0
25
25
8
16
10
32
32
32
32
0
16
16
16
16
8
0
16
16
0
0
8
0
32
32
32
32
32
0
0
0
0
0
12
12
8
8
24
16
16
16
16
16
16
16
16
32
24
8
8
0
0
24
48
16
0
0
0
0
0
0
0
0
0
16
16
8
8
8
8
8
8
8
8
8
8
0
0
4
4
4
0
24
24
0
0
1
1
0
1
0
0
0
0
8
8
16
8
8
8
8
8
8
8
8
8
0
2
2
2
2
2
32
26
8
8
6
8
0
0
0
0
0
0
16
8
8
0
16
8
8
8
8
0
8
8
8
8
8
8
2
57
0
16
8
0
0
0
8
16
1
0
16
0
0
16
8
4
4
4
18
18
0
8
16
16
16
16
0
16
16
8
8
8
16
4
4
8
9
16
16
24
32
16
16
16
18
0
8
8
0
1
32
32
32
32
32
32
32
8
0
8
8
24
0
0
16
16
0
0
48
16
16
16
0
0
18
18
18
19
19
1
1
1
8
8
8
3
3
3
3
32
0
0
0
16
16
12
4
4
4
0
0
0
0
8
8
8
8
8
8
20
36
36
0
0
0
0
0
0
8
8
8
0
0
0
24
4
4
0
8
8
8
8
1
1
1
2
0
24
24
2
16
1
8
0
8
16
16
16
0
0
0
8
2
8
16
16
16
16
16
8
8
8
8
0
0
0
12
4
16
8
24
8
1
0
4
34
32
8
8
8
24
8
8
8
20
0
0
24
16
8
16
16
16
0
8
0
12
8
16
8
19
1
1
1
1
1
1
1
1
16
0
8
16
2
8
16
16
0
0
0
1
8
8
2
0
0
0
0
0
0
0
2
2
2
2
2
24
4
4
16
20
20
0
2
2
0
0
16
16
1
0
0
0
0
0
8
8
1
0
1
6
6
6
16
16
16
16
1
1
19
8
0
18
2
0
0
0
48
8
8
8
0
8
16
21
21
2
8
8
8
0
0
16
0
0
0
0
8
8
8
8
1
8
8
8
8
8
8
0
0
16
16
16
16
0
32
0
2
2
2
0
0
0
8
8
8
28
8
0
0
8
0
0
0
8
8
4
8
4
8
2
11
11
16
16
4
4
8
13
12
12
4
4
4
8
8
8
8
24
24
24
16
16
8
0
0
0
16
30
0
4
0
4
8
8
8
8
16
16
4
0
9
9
9
16
1
8
16
8
8
24
0
2
8
8
4
4
0
0
3
4
4
8
16
16
16
14
14
0
0
0
0
0
0
0
0
0
0
0
0
16
16
1
1
1
16
4
20
20
16
4
0
0
8
8
8
8
8
8
4
24
8
8
8
8
8
8
0
0
0
8
8
8
4
4
4
16
0
8
8
8
8
8
8
8
0
16
16
16
8
8
16
0
0
0
0
1
1
1
26
0
12
0
0
0
16
16
16
8
8
8
2
8
0
0
32
18
0
8
8
8
4
6
0
40
8
4
6
4
16
16
16
16
0
0
29
29
4
44
48
48
8
8
8
8
9
0
8
8
0
16
0
0
10
16
16
16
16
16
0
8
4
4
0
9
9
16
32
8
8
0
0
0
0
1
1
1
1
1
8
8
8
8
12
12
12
12
12
8
0
32
32
8
1
1
1
1
4
4
13
13
13
13
13
13
16
16
16
16
8
0
16
0
0
44
0
0
0
0
8
8
8
16
16
0
24
8
16
8
8
8
2
2
8
0
0
4
1
8
8
4
4
4
4
4
4
4
4
8
8
0
8
8
0
16
16
32
8
0
1
0
8
8
4
0
12
16
16
16
16
16
0
0
4
16
0
0
32
0
2
0
0
0
2
6
8
16
16
16
8
16
8
8
8
8
8
8
8
8
0
0
16
2
2
8
8
16
16
16
16
1
8
8
8
8
8
8
6
4
4
4
4
4
4
0
9
8
16
16
8
8
6
4
8
8
0
0
0
8
4
4
16
8
8
16
0
0
8
8
10
0
0
20
0
0
12
0
0
8
8
16
16
0
0
0
0
0
8
0
16
4
8
2
8
8
8
8
8
4
4
16
8
8
0
0
0
8
8
0
0
0
8
16
4
4
0
8
4
12
0
8
8
8
32
8
8
8
1
1
1
1
0
0
1
8
8
8
8
4
4
36
8
48
16
0
1
0
0
16
32
32
32
38
38
38
38
38
38
0
16
0
0
0
0
16
16
16
16
0
4
0
0
8
16
0
0
0
0
0
0
0
0
0
4
1
0
0
0
2
2
8
8
24
0
16
24
8
0
0
8
8
8
8
0
0
8
9
0
24
24
24
0
8
16
4
21
21
21
0
16
16
48
32
48
8
8
9
0
16
0
0
8
16
16
16
0
0
0
2
4
16
0
0
8
16
16
8
8
8
16
16
16
0
0
0
0
1
1
8
24
8
8
1
16
16
16
16
16
4
0
16
0
32
32
32
32
0
14
4
0
0
0
16
8
8
8
6
0
0
0
0
0
0
0
0
0
0
0
8
8
16
16
16
8
0
0
16
16
16
3
8
2
0
0
0
0
0
4
16
16
8
8
2
1
0
0
4
4
0
0
0
8
16
16
32
0
0
0
0
16
8
16
16
16
4
8
8
8
8
8
16
2
1
16
16
16
0
0
0
8
8
8
16
0
0
0
0
0
0
0
0
0
4
0
16
16
16
8
8
8
20
20
0
0
16
0
0
0
0
20
8
0
0
5
24
2
0
0
8
40
0
0
0
0
8
0
0
0
0
0
0
16
16
16
0
16
16
16
0
16
16
16
0
16
4
1
1
8
4
4
4
4
9
8
4
1
1
1
4
0
24
0
16
16
8
8
8
8
16
0
0
4
16
16
16
16
16
16
16
16
16
16
16
0
0
0
4
0
0
0
0
8
24
16
0
0
0
0
0
1
1
13
1
0
32
32
32
32
32
2
1
4
4
8
12
8
4
0
24
0
0
8
8
24
0
0
0
0
0
1
1
0
0
1
1
8
0
0
0
0
0
8
8
8
8
8
8
8
16
16
18
18
18
18
18
16
0
0
8
8
0
0
8
8
0
0
0
4
4
4
0
0
0
0
8
32
32
32
16
0
24
0
2
8
8
0
0
0
0
0
0
0
0
8
8
0
16
8
8
17
0
16
8
8
8
1
18
0
0
16
0
0
0
0
0
0
0
0
0
4
8
4
20
8
2
8
8
8
4
16
16
0
0
16
16
0
0
0
0
8
8
0
0
0
0
18
0
32
0
8
8
8
8
0
8
8
0
16
0
4
4
4
0
8
32
0
0
16
16
0
0
1
1
1
16
16
16
16
8
16
16
0
4
0
0
0
0
8
8
8
8
8
16
16
17
1
1
16
16
0
0
0
1
8
24
8
8
16
16
0
0
3
3
3
32
32
2
8
8
8
8
0
0
0
0
16
16
0
0
16
0
0
0
0
0
0
0
0
4
4
0
10
8
8
8
10
10
8
8
8
12
16
0
0
16
8
8
16
16
0
4
4
4
0
0
0
8
0
0
20
20
0
1
16
16
0
8
58
8
16
16
0
0
0
8
0
48
48
48
48
0
0
20
0
0
8
8
8
8
0
0
0
0
0
1
1
1
0
0
16
0
2
10
8
8
8
0
8
0
0
2
1
1
1
0
0
16
16
3
0
0
4
16
16
16
16
16
16
8
24
16
16
8
0
0
40
1
21
32
32
32
32
32
32
32
0
2
0
8
8
8
0
8
18
0
0
16
16
16
8
1
16
8
8
16
16
0
0
0
8
8
32
8
4
4
4
0
0
1
8
0
24
0
16
16
2
2
2
2
2
8
8
8
8
9
10
8
8
9
9
9
1
16
16
16
0
4
4
4
0
0
0
0
1
0
16
9
1
1
8
0
0
16
0
16
16
24
0
16
16
16
16
16
16
16
0
4
4
16
16
16
10
10
8
0
0
16
16
16
0
8
8
16
0
0
0
24
16
24
24
0
1
8
1
8
0
0
0
0
0
0
8
0
16
8
8
8
8
1
1
2
8
8
8
17
16
16
16
0
0
2
8
8
8
8
8
0
1
0
0
0
1
0
0
8
8
8
8
2
0
0
0
0
16
0
0
0
8
8
8
0
16
0
0
0
16
8
0
0
0
0
8
8
16
8
16
0
13
16
16
0
0
8
8
0
16
8
3
3
3
3
0
0
0
16
0
0
0
0
8
0
0
8
11
11
11
11
11
24
24
24
0
0
2
0
0
4
0
1
0
0
4
4
0
8
8
8
0
4
4
16
8
8
8
0
0
0
0
0
8
8
8
0
0
12
8
8
8
8
8
8
8
8
16
0
0
0
32
32
32
0
0
0
8
0
2
2
1
0
2
18
8
16
8
8
8
8
8
0
8
16
24
0
0
20
8
8
0
8
4
4
4
4
2
2
0
0
0
0
16
17
17
17
0
0
0
8
8
8
0
1
1
16
16
16
16
16
16
16
16
16
1
0
0
0
0
0
8
12
12
0
8
8
0
0
0
8
4
4
4
4
4
4
4
0
0
0
1
0
0
0
2
1
0
16
16
16
16
32
0
0
0
2
8
2
0
0
0
4
4
4
4
0
17
8
20
0
0
0
16
16
0
0
0
0
0
0
0
0
16
16
16
16
16
16
24
24
24
24
24
16
2
2
16
4
0
8
16
16
42
16
16
0
8
0
0
0
4
4
2
2
2
2
2
0
8
1
0
16
4
1
1
1
8
0
16
8
8
16
16
16
16
16
16
16
8
16
16
16
46
16
2
8
9
8
1
2
2
0
8
16
16
3
3
8
8
8
1
16
8
8
8
0
16
20
8
2
0
8
8
0
0
0
32
8
48
8
8
8
8
8
0
0
24
1
8
8
16
8
0
0
16
0
0
16
16
16
16
16
24
24
24
24
24
0
0
0
0
8
8
24
24
8
2
8
8
8
8
8
8
8
2
8
16
16
8
1
1
1
0
8
8
8
8
8
0
0
0
0
4
0
21
17
1
1
1
1
1
1
1
4
8
8
8
4
4
4
32
0
32
9
9
0
16
8
8
8
8
8
1
1
1
3
0
8
8
0
0
0
8
24
0
1
0
0
0
2
1
1
8
8
0
16
16
16
8
0
16
16
16
0
0
24
24
24
24
24
0
8
8
8
2
0
0
0
0
8
8
0
8
0
4
0
0
14
6
4
17
16
0
2
0
0
16
16
16
0
16
0
0
16
8
8
8
17
2
4
0
8
16
21
2
8
2
0
0
0
0
0
8
8
4
4
8
8
0
16
16
16
0
0
0
0
8
16
16
16
16
4
0
0
8
8
8
24
8
16
0
0
0
0
0
0
0
16
20
0
0
8
8
16
16
16
0
8
0
0
0
0
0
1
1
8
32
4
0
8
0
0
0
0
0
17
17
0
0
0
0
8
2
3
0
0
0
0
0
0
16
37
37
4
0
8
4
4
4
4
4
4
0
2
8
8
0
0
0
0
1
0
20
8
8
0
0
0
0
0
16
16
16
16
8
24
8
8
1
8
16
0
4
8
8
0
9
8
8
0
56
40
16
16
8
8
8
0
8
14
32
0
16
16
32
0
8
6
0
0
0
16
16
8
1
8
0
0
0
16
1
1
0
0
0
0
0
19
19
0
8
0
0
4
4
16
16
0
1
1
1
4
0
0
8
8
8
24
8
0
0
0
16
16
16
4
0
16
16
16
0
0
8
12
3
2
2
0
16
16
16
16
0
8
8
8
8
40
40
40
0
0
0
16
24
24
24
24
24
24
24
24
0
8
14
14
14
14
14
14
0
16
16
16
0
0
0
32
0
0
0
2
32
4
0
16
16
8
0
8
16
16
32
2
2
8
2
2
8
24
4
4
16
16
16
24
0
2
8
8
0
4
4
4
8
24
8
8
24
4
4
4
8
8
8
0
16
4
1
8
4
0
0
16
16
16
16
16
16
16
16
16
40
0
0
16
16
8
8
16
16
16
8
8
8
2
0
24
24
24
0
0
8
0
8
16
16
20
0
8
8
8
0
16
8
8
16
8
8
8
16
8
0
0
16
16
2
0
0
0
0
17
16
16
8
8
16
2
8
20
16
16
4
4
4
5
0
8
8
8
0
0
0
0
8
0
0
36
36
8
0
0
0
0
16
16
16
16
16
18
18
18
16
4
24
16
18
18
18
18
4
4
4
4
16
16
8
8
8
8
8
8
16
16
16
0
1
4
32
0
0
0
4
0
8
8
32
32
18
8
0
0
0
0
0
4
2
2
17
17
17
17
17
16
8
0
0
0
0
0
16
24
24
24
11
11
16
2
4
0
48
16
8
8
8
8
24
0
0
0
0
0
8
8
8
8
16
16
36
0
0
0
0
0
0
0
0
0
0
0
4
2
2
2
4
8
16
16
12
8
16
16
16
21
21
0
8
4
0
0
0
0
16
0
0
8
8
8
16
4
0
0
26
8
8
46
0
0
10
0
0
20
16
0
0
32
32
16
8
0
0
0
0
8
8
0
0
4
0
0
0
0
0
0
2
0
2
8
8
8
8
8
8
0
0
8
28
4
4
8
8
4
4
4
8
8
0
8
0
0
1
20
20
20
20
8
1
1
1
28
28
28
28
8
8
8
8
0
0
0
16
16
16
16
16
16
0
16
16
16
1
0
0
0
8
8
0
0
16
1
1
8
8
8
8
8
8
4
4
4
8
16
16
0
32
32
1
2
1
8
16
16
0
0
0
0
0
0
0
16
16
8
8
0
0
8
0
16
8
0
0
16
16
4
4
9
9
9
0
0
0
16
32
0
8
16
16
11
8
8
0
0
0
0
4
16
0
0
8
21
21
4
4
0
0
4
1
1
16
4
4
4
16
0
2
2
0
16
16
16
16
4
0
0
0
8
0
2
2
0
50
50
17
0
32
32
32
32
32
32
0
8
8
8
26
16
16
4
16
16
8
0
8
8
0
0
8
8
10
10
8
8
8
8
0
0
0
0
16
0
0
0
0
0
0
0
16
16
16
8
8
0
4
0
0
0
0
32
8
16
16
0
0
0
8
8
8
16
16
8
8
8
8
4
0
0
16
8
8
8
8
8
8
8
2
6
6
6
16
16
2
2
2
2
2
8
16
0
0
0
0
0
8
16
8
6
6
6
6
0
0
0
8
8
28
28
28
16
0
34
0
0
0
8
8
16
16
8
8
8
16
0
4
8
8
8
8
8
0
20
0
0
0
8
8
1
1
0
16
16
1
1
1
0
2
32
32
32
0
8
8
4
8
8
1
0
0
0
0
0
0
8
0
0
0
0
0
0
16
16
0
16
16
32
16
32
8
8
0
0
16
0
0
0
16
8
8
2
52
12
0
24
24
0
1
2
0
0
0
1
1
8
8
8
8
8
32
32
0
0
16
16
0
2
0
1
6
6
16
0
0
8
22
2
2
0
0
8
8
8
20
0
0
16
16
16
16
16
16
16
16
8
8
4
4
0
0
0
8
16
0
9
16
16
14
0
16
18
18
2
2
0
0
0
8
8
16
16
8
10
14
6
0
0
0
4
4
0
0
16
8
8
0
8
8
16
16
24
0
0
0
0
8
8
4
4
8
2
0
20
0
0
0
8
4
0
1
2
2
2
2
0
0
0
0
0
0
0
0
16
16
4
4
8
8
0
0
16
0
0
4
4
0
0
0
2
2
2
2
16
2
32
8
8
8
16
16
16
8
0
0
0
0
16
8
8
0
4
4
8
4
4
16
16
8
0
2
2
1
0
0
0
0
0
1
1
16
8
8
8
8
8
0
52
0
2
8
8
8
16
0
0
0
0
0
8
8
8
16
4
8
8
8
8
8
8
8
8
8
0
4
0
0
0
0
0
6
4
8
0
4
4
2
2
0
0
0
1
0
16
0
0
8
2
0
0
0
26
0
2
8
0
0
16
16
0
30
16
0
2
2
0
0
8
0
16
16
0
0
0
0
16
16
0
8
0
0
8
8
8
2
8
8
8
0
16
1
0
8
24
0
0
0
0
4
1
0
8
8
0
8
8
1
0
0
0
0
0
1
1
0
0
0
9
24
24
0
1
0
24
24
0
8
0
0
0
0
8
8
8
16
0
4
4
8
16
2
0
4
2
20
20
0
8
8
8
0
0
0
0
1
16
16
16
16
0
2
2
0
0
0
0
0
0
17
8
8
8
8
0
8
0
0
16
8
8
8
8
8
8
16
16
16
16
0
8
1
8
8
0
16
16
16
0
4
4
16
4
48
48
1
8
8
8
0
0
8
8
8
8
0
0
38
0
16
16
16
16
16
16
16
1
0
8
0
8
8
8
1
1
24
0
12
16
16
12
16
16
0
0
6
6
0
16
8
8
8
16
16
32
32
8
8
0
0
0
12
9
0
0
0
0
16
16
0
16
8
8
0
0
0
33
33
0
0
16
0
0
10
10
0
0
8
8
1
8
0
2
2
2
0
0
16
1
0
0
0
0
0
4
16
0
0
0
0
0
8
8
0
0
8
8
8
24
16
16
0
0
2
8
8
8
16
24
4
32
32
32
0
0
24
8
16
0
4
4
16
0
6
4
4
4
0
8
0
2
2
8
0
0
8
0
0
0
0
6
0
1
1
1
0
8
0
2
2
2
8
0
0
0
0
0
0
0
0
4
4
24
24
24
16
16
8
0
0
0
0
2
2
2
48
2
2
16
16
0
12
16
0
2
8
1
0
0
8
8
32
32
52
0
0
0
24
1
1
0
1
0
0
0
0
0
2
2
2
2
2
16
24
0
16
1
1
1
0
0
32
8
8
0
0
0
8
8
8
16
0
8
8
8
8
8
1
16
16
16
16
2
4
4
4
16
44
8
0
4
4
4
4
0
4
0
8
2
0
0
8
8
0
8
21
21
21
8
0
0
0
16
0
24
0
0
1
1
0
0
0
2
16
16
16
4
8
8
8
0
0
0
0
16
16
16
16
32
16
0
0
12
1
8
1
2
2
0
0
8
2
0
16
16
1
24
8
0
0
0
0
4
0
8
18
2
8
25
25
25
8
0
2
2
0
0
0
0
0
8
8
8
8
16
2
0
8
8
8
8
0
0
8
16
12
12
12
0
16
0
0
0
16
16
16
16
6
6
0
2
8
0
24
8
8
8
8
16
16
16
16
16
0
0
41
8
8
16
16
8
8
2
8
8
8
8
8
0
0
0
4
0
0
0
8
8
0
8
8
8
0
16
0
0
8
16
32
32
4
0
0
0
0
0
0
16
16
40
0
0
0
1
48
0
8
0
0
17
16
16
4
4
2
2
0
0
0
0
0
0
8
0
0
0
8
8
0
0
0
0
0
8
8
0
0
16
16
16
8
8
16
24
24
16
4
4
4
16
0
4
16
16
0
0
0
0
0
8
0
0
48
48
16
16
0
8
0
16
16
20
0
0
0
0
0
8
26
8
10
8
0
0
0
0
4
4
4
4
0
0
16
0
0
8
8
8
8
8
0
0
8
0
0
8
4
4
4
8
8
8
8
0
0
16
16
16
0
0
8
8
0
0
0
8
8
16
3
12
8
0
0
0
0
0
0
0
8
8
8
0
0
8
16
16
16
16
8
8
24
16
0
0
4
1
1
4
16
0
8
0
0
46
0
0
0
16
16
0
40
18
0
0
16
16
0
0
0
0
16
16
8
8
24
0
0
8
8
0
0
8
8
4
4
8
16
16
4
0
0
0
0
16
24
0
0
8
20
20
16
2
27
0
0
0
0
0
24
28
28
28
28
2
2
2
0
12
0
8
16
16
16
16
16
2
8
8
8
0
8
8
0
16
16
24
4
4
4
4
8
0
8
4
0
24
8
30
2
2
2
2
2
2
8
0
0
0
0
0
8
8
0
32
4
4
8
4
4
0
0
0
8
0
16
16
16
16
8
4
16
4
4
1
0
0
16
0
24
8
16
16
0
8
8
8
8
0
0
8
0
16
0
0
16
16
0
0
0
0
8
24
8
8
4
4
0
0
0
0
16
32
26
27
0
0
8
16
8
2
2
2
2
0
8
11
11
11
11
11
8
8
8
8
8
8
0
8
16
16
0
12
8
18
0
0
0
0
0
0
0
0
0
0
16
16
16
16
2
16
16
16
16
16
16
8
0
0
0
0
8
8
1
0
0
0
8
8
32
0
3
4
4
4
0
0
0
0
0
2
0
0
9
0
16
0
17
2
16
16
16
16
4
8
0
16
16
4
8
8
0
16
0
0
16
20
20
20
1
1
0
2
8
8
8
16
0
8
8
0
0
6
8
0
16
0
2
2
18
4
4
24
0
8
8
0
0
0
0
0
0
8
8
0
8
22
22
22
22
22
16
16
16
16
8
8
0
0
0
4
4
4
16
0
0
0
8
24
8
16
4
8
8
8
8
8
0
0
0
2
0
0
0
0
2
2
8
16
0
0
2
0
0
0
0
0
0
16
8
0
0
8
0
1
8
0
0
0
0
0
1
8
25
38
38
4
8
0
8
0
0
0
8
8
0
0
16
0
1
1
2
8
8
8
24
0
0
16
16
16
0
0
0
0
8
0
0
8
24
8
8
8
16
16
0
48
16
27
32
2
16
0
0
8
1
4
4
4
4
4
8
8
8
8
8
8
32
32
32
16
8
8
16
8
8
8
19
16
16
16
16
16
0
2
2
1
1
8
8
4
16
16
16
0
0
0
0
2
2
2
2
0
16
16
0
0
8
4
0
8
16
16
0
0
16
13
4
4
4
4
4
4
4
4
8
16
16
16
16
16
16
17
17
5
1
1
1
2
0
16
48
48
8
0
0
0
0
16
16
8
8
8
8
12
0
8
1
4
4
16
8
0
0
0
0
0
2
2
8
8
2
2
0
0
8
8
16
16
4
4
8
0
0
8
8
1
1
2
0
0
8
8
8
8
8
8
0
6
8
0
8
8
8
8
8
8
2
32
4
8
8
8
8
16
16
16
16
0
0
16
1
19
19
0
2
2
2
2
2
2
8
2
32
0
0
0
0
0
0
0
0
4
8
37
37
1
0
8
8
8
8
1
42
42
16
16
16
16
0
10
8
0
0
0
0
16
8
8
8
0
0
16
16
16
8
2
2
2
0
0
9
4
4
4
16
16
8
10
2
24
2
16
8
8
8
8
8
16
16
16
0
0
0
0
0
0
0
0
8
8
8
8
8
4
0
0
0
0
0
0
8
0
0
0
0
4
12
2
8
8
0
0
0
0
16
9
2
2
0
0
0
24
24
24
20
20
0
0
50
50
0
0
0
0
8
4
4
4
4
16
0
32
40
40
40
40
0
0
0
12
0
0
0
0
8
24
0
0
8
8
8
8
0
8
8
8
8
16
0
16
16
8
8
16
0
51
51
51
0
0
0
4
4
0
12
12
12
32
16
16
0
0
0
16
0
0
0
16
32
8
0
2
16
8
8
0
0
16
16
34
0
0
0
0
0
16
18
16
8
8
8
8
0
2
8
8
16
8
8
0
0
0
0
8
0
16
11
11
0
0
48
9
0
0
0
8
8
20
13
23
21
16
0
8
8
8
0
0
0
24
4
16
4
0
0
8
0
0
0
0
0
0
0
26
4
1
32
32
4
4
4
1
0
8
8
8
8
8
0
17
1
2
8
8
8
8
0
19
19
16
4
3
1
0
0
8
0
0
8
0
0
0
0
0
0
8
0
0
1
1
1
1
1
1
1
1
24
24
24
24
16
4
4
4
4
8
0
0
4
0
0
1
1
1
8
16
16
16
16
16
16
0
0
1
4
4
0
4
0
0
0
16
16
16
25
0
0
0
32
2
0
56
56
56
0
0
16
2
8
0
0
0
8
1
0
0
0
0
0
17
0
0
2
2
0
0
0
0
0
4
0
0
52
16
0
0
4
4
4
0
0
0
0
0
0
25
25
25
2
2
2
2
4
4
0
0
16
8
8
16
16
16
0
16
29
29
8
8
8
8
4
0
28
24
1
0
0
16
2
2
4
4
40
8
0
0
0
0
0
0
0
4
0
0
8
8
8
8
8
0
0
0
0
16
0
0
8
0
8
16
0
0
0
0
0
0
0
0
0
8
0
2
2
0
8
0
0
0
0
0
16
16
16
8
8
8
8
16
32
32
0
0
4
3
0
16
16
16
0
16
16
16
1
18
8
16
2
0
0
4
20
20
20
0
16
8
8
8
0
0
8
0
16
16
16
16
16
1
18
18
32
0
8
16
16
32
8
8
8
8
8
32
32
18
16
16
16
16
16
16
40
8
8
8
0
0
0
0
16
0
0
8
8
0
4
0
0
0
0
4
16
4
34
34
34
34
32
9
8
19
19
40
24
8
8
2
0
0
8
58
1
1
36
36
36
36
0
8
0
0
0
8
11
2
0
0
0
0
0
8
8
8
4
16
0
16
8
8
8
12
12
8
8
8
8
0
0
0
16
8
24
0
0
0
0
16
16
1
1
1
1
1
16
16
1
16
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
17
16
16
16
4
4
0
0
0
0
0
0
8
26
26
26
0
0
0
4
4
0
8
8
8
8
2
2
2
2
8
4
8
16
18
0
0
8
8
0
0
16
16
16
0
0
0
0
0
0
0
0
0
8
8
0
28
8
8
0
0
1
1
1
0
2
16
16
0
4
12
12
12
12
1
24
24
24
8
16
16
16
16
0
8
8
8
8
8
5
1
16
16
16
4
4
4
4
4
0
0
1
1
0
0
0
8
2
2
2
20
0
0
0
0
0
0
0
0
0
4
32
32
32
0
0
0
8
4
16
16
0
16
40
40
1
1
2
2
16
8
8
8
16
0
16
17
1
28
8
10
8
8
0
8
0
0
0
2
24
16
0
8
8
5
0
0
0
16
49
49
0
0
0
8
0
4
4
8
4
1
0
16
8
8
8
8
0
0
2
2
2
0
0
8
20
4
4
0
8
8
8
8
8
8
0
17
16
4
34
34
1
0
8
36
36
49
0
16
16
0
0
16
8
0
0
4
4
24
0
1
1
1
2
2
0
0
40
0
0
0
4
16
32
32
32
48
0
12
16
16
16
16
16
16
16
0
16
16
16
16
0
24
24
24
0
16
16
0
0
0
0
17
0
0
0
0
0
0
0
0
8
1
16
16
16
16
8
8
8
0
4
16
4
0
0
0
8
16
4
0
0
8
32
0
19
16
16
0
0
0
8
8
8
4
0
16
16
16
8
0
0
0
0
0
16
16
0
4
4
9
9
9
16
16
8
8
8
8
16
4
4
8
8
8
8
8
8
8
8
8
8
8
8
32
16
8
4
4
0
8
8
8
8
8
4
8
8
8
8
8
24
24
24
0
0
0
1
16
16
16
16
16
16
0
16
4
2
0
0
0
3
3
0
0
1
0
16
8
8
1
8
0
1
1
16
16
16
16
1
1
1
1
1
1
1
1
1
1
0
8
0
8
12
0
12
12
12
8
1
16
16
16
24
0
2
2
16
16
0
8
8
20
0
0
0
16
0
0
0
0
16
16
16
0
0
0
16
16
16
16
16
16
16
2
0
12
0
0
8
8
8
4
4
4
32
8
0
0
1
1
1
54
54
6
6
8
8
0
0
0
8
0
0
0
0
0
0
16
16
16
16
2
8
0
8
8
0
0
16
8
0
10
10
8
8
0
0
0
28
32
16
8
8
2
0
16
4
0
0
0
0
8
4
4
16
16
0
16
0
0
0
0
8
8
8
8
2
8
8
8
2
2
2
0
0
6
8
0
16
16
8
8
8
16
16
16
0
0
24
16
16
16
8
4
4
4
4
18
36
4
0
0
4
0
1
2
2
2
2
2
2
0
0
0
16
16
16
8
0
8
32
2
2
2
2
0
2
2
2
1
1
1
1
1
0
2
16
1
1
1
1
0
40
0
0
0
0
16
24
0
0
0
8
12
12
0
0
16
0
16
16
32
33
16
16
8
0
0
8
8
8
1
1
1
1
16
1
1
1
0
0
17
17
0
25
25
2
4
16
16
16
16
16
16
0
16
16
8
4
17
6
6
4
4
8
40
40
40
1
1
1
8
8
8
8
8
16
16
16
16
0
0
8
16
2
2
8
8
1
16
37
0
27
0
2
0
0
16
8
0
0
0
16
16
16
8
8
2
2
2
2
16
8
8
8
24
24
24
0
0
8
0
8
0
16
0
0
0
0
0
0
0
2
2
16
8
9
0
8
8
8
0
0
0
0
0
0
8
8
8
16
0
0
0
0
8
8
2
20
20
1
1
1
4
4
4
8
8
8
24
16
0
0
0
1
1
8
0
4
4
4
4
20
8
0
16
0
2
2
2
1
1
0
2
8
8
8
4
4
0
0
0
0
0
0
9
9
9
16
1
1
1
1
1
1
8
16
16
16
0
0
0
0
16
0
8
8
0
8
8
8
0
16
16
16
8
18
8
8
8
8
8
0
0
16
16
16
0
0
0
8
8
0
8
0
4
4
8
0
4
4
8
16
16
16
8
8
8
8
0
0
0
0
0
0
0
16
16
0
0
0
5
0
0
8
8
8
8
8
1
16
16
16
16
0
4
4
4
4
16
8
8
8
4
4
0
0
0
8
16
2
2
2
2
2
8
8
16
8
24
8
8
0
4
4
8
0
0
0
0
0
0
0
0
0
0
16
0
18
0
0
8
8
16
1
4
8
8
8
8
8
32
32
24
2
2
2
0
8
8
1
8
8
2
16
0
0
16
8
0
0
0
8
0
8
8
16
16
16
16
16
0
8
16
25
4
0
0
8
8
8
0
0
16
16
16
0
4
24
16
16
0
0
0
0
8
16
0
16
16
0
16
16
16
9
0
8
8
2
4
0
0
0
0
0
0
16
16
16
0
8
0
0
8
8
0
8
8
0
16
16
8
0
0
0
0
32
32
32
8
16
16
16
0
0
0
32
0
0
0
0
1
16
16
16
16
16
16
16
16
16
16
16
1
0
6
2
8
8
8
0
0
5
5
0
0
0
8
25
8
8
8
8
10
0
0
20
0
8
8
8
4
16
24
8
24
24
9
0
24
16
16
8
8
8
4
16
0
0
0
0
0
8
4
8
8
8
8
16
20
16
8
1
32
32
32
8
8
0
0
0
0
0
0
4
1
0
0
1
1
4
4
0
0
16
4
4
0
0
0
0
0
8
0
0
18
0
0
0
8
0
4
16
16
16
16
8
8
0
0
0
16
16
8
8
8
16
16
16
16
0
0
0
0
0
8
8
8
8
8
8
16
0
0
24
8
1
0
32
32
32
32
32
0
4
4
4
0
0
8
0
0
0
0
0
2
2
2
1
16
8
0
1
1
16
0
0
0
0
0
0
0
0
8
8
8
8
8
16
0
8
8
2
2
2
2
8
4
4
0
0
42
42
0
16
8
8
4
8
33
8
8
8
8
6
8
16
20
16
0
0
0
0
0
0
9
2
2
4
4
0
0
4
0
0
0
16
8
8
8
8
16
0
0
2
8
8
8
8
0
8
16
16
16
16
8
0
0
16
8
0
0
0
0
2
16
8
8
18
40
2
0
0
0
2
4
0
0
8
8
16
16
16
16
28
28
1
0
0
16
32
32
8
25
0
0
0
0
24
8
0
16
16
16
4
8
4
4
8
8
8
8
8
0
0
8
0
0
8
0
16
16
0
8
8
16
17
16
16
0
0
0
16
16
12
0
0
16
16
0
8
8
31
0
16
16
0
4
7
0
0
16
16
0
0
0
0
22
22
22
22
8
8
8
34
34
16
16
16
0
16
8
0
0
0
16
16
16
16
16
16
16
16
16
16
16
0
0
32
8
8
8
2
0
44
40
8
0
0
8
16
12
2
24
24
24
24
24
24
24
0
0
0
16
16
16
16
16
16
20
0
0
0
16
0
0
0
32
0
0
4
0
0
0
0
0
16
16
16
16
16
16
1
1
1
0
0
0
1
8
8
4
0
24
0
8
8
8
16
16
0
1
1
1
1
1
0
0
0
0
8
16
24
8
0
8
8
21
21
8
8
0
0
0
0
4
8
37
37
37
37
37
37
45
8
0
16
8
8
4
0
0
0
8
8
8
17
17
17
0
0
8
8
0
0
4
4
4
4
4
8
8
8
0
8
8
8
8
8
8
0
0
0
16
16
16
16
16
0
0
0
2
20
1
1
0
0
0
0
52
0
0
0
0
0
8
0
2
2
16
16
4
4
4
8
8
20
20
20
20
20
20
20
0
8
0
0
0
16
16
16
8
8
8
0
8
24
8
2
2
16
2
2
16
16
4
4
0
1
0
1
1
1
1
1
0
0
0
16
0
4
0
0
8
8
0
0
0
18
4
4
4
4
16
20
8
8
1
0
0
0
1
16
16
16
16
0
0
8
16
0
8
0
2
2
2
2
2
8
8
8
8
15
8
8
16
16
16
0
0
32
32
1
1
0
32
32
0
0
24
0
0
0
1
1
1
1
16
0
0
0
0
0
0
0
16
16
0
0
1
1
0
16
0
0
0
8
0
16
0
0
8
0
0
16
16
0
0
0
20
2
2
0
16
0
0
0
0
0
4
4
4
8
0
0
16
0
0
2
16
1
1
1
0
0
4
8
16
16
2
2
2
1
5
5
5
4
4
4
16
16
0
0
0
2
2
0
0
0
0
0
0
32
32
0
16
0
0
0
8
2
0
0
1
10
8
0
56
8
1
0
8
8
8
8
0
0
0
0
0
0
0
18
18
18
18
18
18
0
1
10
0
16
16
0
16
8
24
8
0
0
5
21
2
40
32
8
1
16
16
9
9
9
8
0
0
2
0
8
8
8
4
4
1
2
2
32
1
4
25
20
0
9
9
4
0
2
2
0
8
8
0
8
8
8
8
8
8
8
8
8
0
4
16
16
1
2
2
8
0
0
16
0
16
16
0
0
0
0
0
0
0
16
8
0
8
4
0
0
0
4
4
5
8
1
24
16
0
0
24
32
32
4
4
16
12
0
16
16
8
8
8
8
8
2
16
16
0
8
8
2
2
16
0
1
16
8
24
0
8
4
16
16
16
0
8
8
8
40
16
16
0
0
0
0
0
4
8
8
0
0
0
16
16
16
8
0
0
0
0
1
0
8
9
9
9
4
4
18
0
0
0
8
8
8
8
0
0
8
0
16
4
4
4
0
0
0
0
16
8
8
8
8
8
8
16
16
16
16
16
24
16
16
16
2
2
8
0
8
8
8
8
8
8
8
8
8
8
8
8
4
4
16
0
0
16
16
0
0
0
8
17
17
17
1
1
1
8
24
16
16
16
0
8
0
0
16
0
0
8
8
8
8
0
0
0
0
0
0
0
0
16
8
8
0
12
8
0
16
2
2
2
0
4
6
8
0
0
0
24
0
0
0
1
24
25
8
24
8
49
1
4
0
16
8
0
0
0
16
0
0
0
20
1
1
1
16
16
16
8
5
5
8
8
0
0
1
8
8
4
4
4
0
0
8
8
8
0
8
8
16
0
0
0
0
4
16
24
24
0
1
1
1
1
8
8
16
8
33
0
0
6
1
9
1
1
0
16
2
0
8
7
0
0
8
8
8
8
8
8
0
0
0
0
16
24
0
0
16
16
16
0
1
0
1
0
2
16
16
16
8
0
8
8
0
8
1
1
1
0
8
8
1
1
5
16
16
1
0
0
0
24
0
8
0
0
0
0
1
1
0
8
8
8
16
8
0
8
8
0
0
0
16
16
16
0
8
8
8
12
16
0
8
8
8
8
0
16
16
16
16
0
0
16
16
16
16
16
24
24
24
24
0
0
1
25
0
0
0
8
8
8
8
0
0
0
0
0
0
0
8
4
8
8
16
0
16
40
40
40
8
8
16
16
0
0
8
8
16
0
0
0
0
0
0
8
8
8
8
0
16
34
16
2
2
6
4
0
0
0
0
16
12
0
0
16
16
4
4
3
2
2
2
2
16
16
16
16
34
16
16
16
0
0
16
16
16
8
0
2
8
0
8
0
0
0
32
16
16
10
16
16
16
8
8
8
8
8
8
16
0
0
4
4
4
4
8
24
24
8
0
0
0
0
0
0
5
4
4
4
4
4
1
8
8
8
0
4
8
8
0
0
0
0
0
0
4
4
0
0
32
32
32
0
0
2
16
16
0
10
10
4
16
1
16
0
8
8
8
16
16
1
4
8
16
24
0
18
18
18
18
8
4
2
4
4
0
8
0
16
24
8
8
2
2
2
60
12
0
4
0
0
4
4
4
4
1
36
8
0
8
8
0
0
0
16
16
0
0
8
16
16
16
0
0
8
8
8
8
0
0
18
16
8
1
1
1
1
1
1
1
1
8
8
0
0
0
0
0
21
8
24
24
24
24
0
16
16
8
2
0
0
0
4
4
4
8
8
8
16
0
16
16
0
8
16
8
8
16
16
8
24
16
0
4
4
8
8
0
0
0
2
4
4
4
4
2
2
8
20
4
4
2
2
8
40
0
0
0
0
0
0
0
0
1
8
0
0
0
0
0
0
0
20
20
20
4
4
4
16
24
4
16
0
0
0
8
8
8
6
2
0
0
3
8
8
16
16
0
24
1
32
8
48
48
8
0
16
13
13
0
0
16
16
16
16
16
8
16
16
32
0
8
8
8
8
16
16
16
16
16
0
1
1
0
4
4
16
16
16
16
16
16
1
0
0
0
0
0
0
0
32
0
1
8
8
8
0
0
4
8
2
16
16
16
0
24
8
0
1
8
8
8
8
8
16
8
8
8
0
0
0
0
16
16
16
16
0
0
0
0
0
8
8
8
8
0
0
0
4
0
0
8
8
8
0
2
8
0
8
0
0
0
0
18
18
18
0
0
0
0
0
4
4
21
0
16
16
16
2
2
16
4
4
4
1
13
8
8
16
0
0
0
0
0
8
8
8
8
0
1
0
0
1
8
8
8
1
16
0
0
8
0
0
8
8
8
8
32
32
32
0
8
0
0
0
8
8
48
0
8
1
1
40
40
40
40
1
0
0
18
8
8
8
8
8
0
8
8
0
2
4
4
9
8
0
8
8
8
8
1
1
1
1
2
2
40
0
0
0
0
0
8
0
2
2
2
4
2
2
0
1
1
0
0
0
0
16
16
8
0
1
16
8
1
1
24
0
0
0
0
8
16
16
16
16
16
2
0
16
16
16
16
18
16
16
0
16
4
24
24
8
8
8
4
0
0
2
2
9
16
0
0
0
0
0
0
32
8
8
16
16
16
32
32
8
4
4
4
4
4
8
4
0
0
0
0
0
0
0
0
1
1
1
0
0
0
16
16
0
8
8
0
8
8
8
0
0
8
20
16
16
8
0
18
8
8
1
16
0
4
4
4
4
4
0
16
8
2
2
2
2
8
2
1
1
1
16
0
0
32
24
0
0
8
2
0
8
0
0
0
4
8
8
8
8
24
24
24
24
0
0
0
0
10
0
0
0
1
16
0
8
8
8
8
8
8
8
1
1
16
16
8
0
8
0
32
0
8
8
0
16
16
4
0
0
8
8
16
16
0
16
16
16
16
8
8
1
8
8
8
8
8
0
0
0
0
1
16
0
16
1
8
4
0
0
21
9
9
9
8
0
0
0
0
0
0
0
8
8
4
8
8
8
8
0
0
0
8
8
17
0
16
8
16
0
0
16
16
5
8
16
2
8
8
0
0
16
8
8
8
0
8
17
0
0
2
2
0
8
8
4
4
4
16
2
2
16
16
20
20
16
20
0
16
16
32
32
32
32
32
0
0
0
0
0
0
0
22
0
0
0
0
16
16
8
8
0
0
24
24
8
1
2
2
8
0
0
1
1
0
8
0
0
0
8
1
1
16
16
16
16
0
0
0
0
8
8
8
8
8
0
40
8
8
8
8
0
0
0
16
8
0
5
5
16
0
16
0
0
1
1
8
8
8
8
8
4
0
17
16
0
0
8
8
8
1
0
16
16
16
16
24
8
0
1
4
8
10
0
24
16
4
0
1
12
12
0
16
8
16
0
0
40
0
8
16
16
16
16
16
16
0
0
0
8
8
0
16
16
16
16
8
8
16
16
2
8
8
0
0
0
9
9
1
16
1
2
2
0
4
32
16
1
17
16
16
16
16
9
22
0
0
0
0
8
0
17
17
16
16
16
16
40
19
0
0
0
0
40
32
2
0
6
6
6
0
8
1
1
1
1
1
0
0
32
20
20
20
20
32
8
0
0
24
0
0
2
2
0
0
0
16
16
8
8
16
16
8
8
0
8
16
8
8
8
12
4
1
1
0
0
8
8
16
16
4
32
8
8
32
16
16
16
0
16
16
16
16
1
0
0
0
0
1
8
0
16
0
0
16
0
8
4
8
1
0
0
8
8
0
1
1
1
1
4
0
0
0
8
33
1
1
28
1
16
16
36
16
16
16
16
16
16
1
16
0
0
0
9
9
16
16
16
16
20
2
2
0
2
12
8
8
0
0
0
8
8
1
4
48
9
16
16
1
1
1
1
16
16
16
16
17
17
8
8
0
0
8
8
8
8
1
0
1
0
0
8
0
0
0
0
0
0
16
16
16
16
16
16
0
8
8
16
0
0
0
0
0
0
0
0
8
8
20
16
16
8
4
4
16
1
1
1
8
8
8
8
8
1
0
0
0
2
2
2
8
0
0
0
18
18
0
0
0
0
0
0
16
8
16
0
8
0
0
16
16
16
16
8
8
8
0
0
0
0
0
0
0
27
27
16
0
0
0
8
20
20
18
18
0
0
0
4
32
16
8
0
0
9
0
0
0
0
8
0
0
4
4
1
1
0
8
8
8
0
0
16
0
4
0
0
32
32
32
32
32
0
16
16
16
16
16
16
4
4
0
4
1
8
8
0
33
35
8
8
0
0
0
4
4
4
4
0
33
0
0
4
0
0
0
8
8
2
16
8
0
0
16
16
1
16
0
0
0
0
0
16
0
0
8
8
8
16
16
16
2
2
2
16
24
16
16
16
16
0
8
36
16
2
32
0
49
1
16
0
0
1
0
0
8
16
25
8
0
0
0
0
0
8
8
8
8
4
4
4
4
4
4
16
0
0
8
20
16
9
0
0
16
16
0
4
32
32
0
16
16
16
1
0
0
0
0
8
0
4
8
32
24
0
16
8
0
16
8
0
0
0
0
0
8
8
8
16
0
8
8
8
8
8
8
0
0
4
4
8
8
4
0
0
0
1
32
0
0
0
0
16
16
16
0
8
8
0
1
1
1
0
16
16
16
16
16
20
20
8
8
8
4
17
17
4
0
12
12
12
0
16
8
8
8
8
4
0
24
24
24
0
0
0
0
0
16
16
0
8
16
16
34
10
10
10
8
8
4
4
8
8
20
8
8
4
4
8
8
8
25
0
2
2
2
16
12
8
0
8
8
25
25
25
8
8
8
0
0
0
2
8
8
8
8
8
8
8
8
8
8
8
8
16
4
4
0
0
0
0
0
0
0
0
0
8
1
0
4
8
8
0
0
0
0
0
0
0
4
4
0
16
4
8
8
8
8
8
4
4
4
2
8
16
0
0
0
8
0
0
8
8
16
0
16
4
8
8
8
4
4
16
16
16
4
16
16
16
8
2
16
0
0
0
0
8
16
8
0
0
0
8
0
8
4
8
16
8
9
44
0
26
26
16
8
9
0
8
8
0
8
16
13
13
13
13
13
4
4
4
4
8
8
0
0
16
1
8
8
8
8
28
0
16
16
0
0
4
16
1
1
24
8
4
8
8
8
1
0
0
0
20
8
8
0
32
0
0
2
2
0
16
0
0
8
0
32
0
16
0
4
16
16
16
8
32
32
8
8
8
4
0
16
1
8
8
0
8
8
8
8
30
30
16
16
0
16
2
17
16
0
0
4
4
0
0
0
0
0
0
0
0
0
0
8
24
8
16
16
16
8
0
8
8
8
8
0
8
4
8
8
8
8
4
8
8
8
0
16
0
9
0
0
0
0
8
0
0
0
4
16
16
17
1
1
1
8
16
16
0
0
4
8
8
8
8
2
2
8
0
2
18
8
0
0
0
8
4
5
4
0
0
4
16
16
0
0
0
0
16
16
16
16
0
16
16
16
16
16
16
40
32
1
16
0
0
16
16
0
0
16
4
8
8
8
8
8
4
4
4
16
8
8
16
16
12
0
0
0
0
0
0
0
0
0
9
8
8
0
0
0
0
8
8
0
20
20
12
12
12
16
16
16
16
16
0
4
4
16
0
0
8
8
33
1
1
0
16
18
16
0
27
16
0
0
24
8
1
8
8
8
17
17
0
0
0
1
1
2
2
0
0
24
0
16
0
0
8
0
0
0
0
0
8
1
0
8
8
8
8
16
16
50
0
16
6
24
0
8
8
8
8
8
8
8
0
1
16
0
8
4
4
4
16
20
4
8
16
8
4
0
4
0
19
19
8
4
0
16
16
2
2
8
0
18
4
0
8
16
16
24
24
0
0
0
0
4
8
0
0
0
0
1
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
16
22
24
0
16
4
0
8
16
16
24
24
24
16
8
4
4
4
4
4
0
0
0
8
8
8
0
16
16
16
0
0
32
32
16
16
9
0
4
1
1
1
8
0
0
16
16
16
0
8
4
4
0
12
8
2
16
0
33
8
8
8
8
0
8
8
0
0
0
0
0
4
0
0
10
1
8
0
0
8
8
16
0
16
16
8
8
8
32
0
40
40
0
0
0
8
4
0
0
8
8
8
0
18
18
18
18
18
18
18
16
8
0
0
0
0
0
4
4
1
2
2
2
2
2
2
2
16
0
0
16
2
2
2
16
48
24
16
0
16
4
4
4
4
1
0
0
0
2
1
16
0
2
8
32
24
24
8
8
4
0
32
8
8
4
16
16
8
32
20
20
16
16
16
16
16
16
16
16
16
8
8
8
0
0
16
16
8
8
0
20
20
8
0
0
0
0
8
8
0
0
0
8
0
4
1
1
36
8
1
1
1
0
0
0
0
22
22
32
32
24
8
0
0
0
12
6
6
6
6
0
0
0
8
8
8
8
0
0
0
0
4
4
4
0
0
1
1
16
32
20
20
20
0
16
16
16
16
0
16
16
16
0
32
16
16
8
0
0
0
0
0
8
0
2
2
2
2
2
2
2
2
2
24
16
1
0
8
0
16
20
20
20
20
0
4
0
0
0
8
8
52
52
2
2
8
0
0
0
8
0
0
2
2
1
16
16
16
8
8
0
0
0
0
0
0
16
16
4
8
0
0
2
8
16
16
3
3
3
8
12
4
40
21
21
32
3
8
42
2
1
8
1
32
32
32
8
0
0
24
0
24
0
8
9
0
0
17
0
0
0
36
36
8
8
8
8
0
16
0
48
48
16
16
16
16
16
0
1
1
1
42
0
0
0
4
0
4
4
4
16
16
16
16
16
0
17
0
8
8
0
0
0
16
16
16
16
17
56
16
16
8
16
0
32
32
2
0
5
0
0
8
16
16
1
40
40
8
16
24
16
16
8
4
4
4
4
8
8
8
8
8
8
10
10
0
0
8
32
0
0
16
16
0
1
1
1
1
2
2
2
16
16
16
16
0
2
24
24
24
0
0
4
4
8
8
8
0
0
57
0
0
1
1
4
4
1
1
0
9
9
9
16
16
24
0
4
0
0
0
16
8
0
1
0
8
0
0
8
4
8
0
8
8
1
16
16
16
8
8
8
8
8
8
8
8
8
8
0
0
16
16
16
32
0
8
2
2
16
16
0
0
0
0
0
0
1
1
8
8
8
8
8
8
8
0
0
32
16
16
16
16
8
42
42
0
0
0
0
4
4
8
0
0
0
16
16
20
4
8
8
16
16
0
0
0
0
33
0
16
24
8
8
0
24
0
8
8
0
8
48
48
48
4
4
0
0
8
0
16
24
8
0
0
22
22
22
0
0
0
8
8
8
8
0
0
0
0
0
8
8
0
0
16
0
0
1
8
16
8
48
16
16
0
0
0
3
3
3
1
1
16
16
8
0
8
0
2
0
16
16
0
0
0
0
0
0
0
8
16
16
8
8
8
8
20
16
1
1
0
0
0
0
0
0
16
4
4
16
16
16
16
0
0
8
8
16
16
16
16
0
8
16
0
1
4
4
0
0
0
0
4
8
16
16
32
16
2
0
0
0
0
8
8
0
0
8
0
16
8
0
16
16
16
0
8
8
8
8
0
0
0
0
16
0
0
0
0
0
0
0
12
12
8
8
8
32
2
2
16
24
16
17
8
8
1
1
1
8
0
0
0
0
0
0
3
1
48
16
9
9
1
0
0
0
12
24
8
8
8
8
6
4
3
1
1
17
0
0
16
32
2
0
0
24
8
48
48
0
10
16
8
32
8
0
0
2
20
4
8
0
0
8
8
8
8
8
16
0
0
8
24
24
4
4
8
24
0
0
0
0
0
0
0
0
8
1
1
0
0
0
8
0
32
32
32
32
32
32
32
32
32
32
32
32
16
8
8
8
24
24
24
16
0
0
6
0
8
8
0
0
0
0
8
0
16
0
0
0
0
8
8
16
18
8
16
0
0
0
32
0
2
0
0
0
0
8
16
16
0
0
0
0
0
0
8
1
8
8
16
0
0
10
1
30
2
0
8
8
16
16
4
0
2
2
0
0
2
0
0
0
0
0
0
12
12
8
8
8
0
2
2
0
0
0
0
0
0
1
5
1
4
18
26
0
0
0
0
6
8
24
0
8
8
8
0
0
20
0
0
0
0
0
0
32
32
32
32
8
8
0
0
24
16
16
8
8
2
0
0
2
8
8
0
8
0
0
0
0
24
16
8
8
32
0
16
8
0
17
8
8
8
8
2
2
1
0
0
8
8
8
8
0
0
16
16
16
16
16
16
16
16
1
1
0
0
0
8
1
8
8
24
0
0
1
1
0
0
0
0
0
0
28
0
0
16
16
16
16
33
1
8
8
1
8
8
8
8
8
8
8
32
0
16
0
0
0
0
0
0
16
0
8
8
0
0
0
6
16
0
0
1
1
8
0
16
16
0
0
0
16
8
8
8
16
32
0
0
0
0
8
8
32
32
4
20
0
32
1
1
8
8
29
5
5
5
4
4
10
0
32
32
32
32
32
20
16
16
16
16
24
0
0
0
16
0
0
0
16
0
38
8
0
24
24
8
8
0
4
8
8
0
8
16
8
8
0
0
0
63
0
0
8
2
2
0
18
18
8
16
16
16
16
2
2
8
8
8
0
0
0
4
28
8
8
16
8
16
16
16
0
0
0
0
0
0
0
0
0
0
16
1
0
0
0
8
8
8
8
8
0
0
0
0
8
8
8
8
0
4
4
4
4
16
16
2
2
0
56
56
0
0
32
32
32
32
24
24
8
8
4
4
0
0
0
0
0
8
8
16
16
0
0
0
0
0
6
6
0
16
8
8
8
8
24
10
10
10
8
32
32
0
1
16
16
16
16
1
8
8
8
8
17
17
4
0
0
0
0
16
0
0
16
16
0
4
4
8
0
8
8
8
1
0
0
0
0
0
0
16
8
16
16
8
16
0
0
0
0
0
0
16
16
16
0
0
8
0
0
24
24
0
24
1
1
24
24
8
16
4
0
8
0
0
0
0
0
8
16
16
4
4
0
4
4
1
8
4
4
4
4
8
0
0
16
16
16
16
16
0
0
0
0
0
8
8
9
9
9
1
1
8
8
8
8
8
8
8
0
8
0
0
2
0
0
1
16
16
16
16
16
16
16
16
32
32
4
4
33
18
8
1
4
0
0
0
2
0
0
0
8
16
8
0
0
16
16
16
16
16
0
0
0
4
4
0
9
9
0
0
0
0
0
1
1
20
20
1
1
8
8
8
8
8
8
0
0
0
8
8
8
1
8
0
0
0
8
2
32
32
8
8
8
1
0
12
4
4
16
0
10
16
16
0
18
18
18
0
8
8
0
16
16
16
4
0
4
4
8
16
8
16
8
0
8
1
1
0
2
16
2
12
0
0
0
0
1
17
32
32
0
0
0
8
8
32
32
32
8
8
8
0
0
0
0
0
32
32
6
6
16
16
2
0
8
8
8
0
0
0
8
8
4
4
0
8
16
8
4
0
0
0
0
0
8
0
16
2
8
8
0
0
0
0
0
0
16
16
4
18
18
6
0
4
8
16
4
8
8
8
0
8
16
16
0
0
0
0
0
8
8
8
0
4
4
4
0
8
0
1
1
1
0
16
8
16
1
0
28
0
8
8
0
0
2
4
4
8
16
16
1
16
8
8
8
8
15
15
0
16
16
16
48
48
0
0
2
2
2
2
2
0
8
24
0
0
0
16
16
0
0
0
4
4
4
4
0
8
16
16
12
16
8
16
0
0
0
8
8
8
8
20
20
20
20
20
20
60
8
8
8
8
0
0
0
0
0
0
8
8
8
20
8
8
8
0
0
0
8
8
0
0
0
8
16
24
24
24
40
40
0
0
0
4
12
8
0
8
0
0
0
0
0
0
0
8
8
8
8
8
8
8
8
8
0
0
0
32
32
8
16
0
0
16
0
0
6
6
0
8
3
0
12
0
0
0
4
4
4
0
2
8
8
8
0
2
4
0
2
2
2
2
16
16
24
8
8
8
16
32
32
8
8
0
33
8
8
8
8
8
8
0
0
0
0
0
0
10
0
8
0
0
0
9
16
24
2
2
16
16
0
1
0
8
0
0
0
0
0
0
32
2
2
0
4
0
0
0
0
0
0
26
0
8
0
0
0
0
0
0
16
0
2
9
9
9
0
4
0
1
1
1
1
1
0
0
0
44
4
4
0
0
28
0
1
8
8
8
4
4
8
8
8
8
8
8
0
0
0
1
8
8
32
40
0
0
0
16
16
16
16
0
8
16
16
4
4
8
8
0
1
8
8
8
0
0
0
8
8
0
16
16
22
0
0
0
24
16
16
4
1
4
4
0
0
4
2
0
0
0
32
24
24
8
8
16
8
8
16
8
3
0
8
16
16
16
16
16
16
0
0
0
0
16
16
8
16
16
0
4
1
5
1
0
0
0
8
0
0
0
0
16
4
0
1
1
16
16
0
0
16
16
16
16
16
0
0
0
4
8
8
0
0
0
4
0
0
0
4
4
16
8
0
8
2
3
3
0
4
4
16
8
8
0
0
0
2
2
0
8
1
1
1
0
0
0
0
0
0
4
0
0
8
8
0
0
0
0
20
16
0
0
24
16
16
16
0
2
4
0
0
0
0
0
33
33
0
32
32
16
16
2
16
0
0
0
0
16
8
2
2
8
8
8
8
33
33
0
1
1
9
16
13
8
8
0
0
0
0
8
9
0
0
0
0
8
8
16
16
0
0
0
8
8
0
0
8
8
0
0
0
1
8
16
0
0
16
1
8
8
0
0
8
20
26
16
0
0
0
8
16
16
8
9
0
16
16
16
8
0
8
12
12
0
1
16
16
1
16
16
0
8
0
0
2
8
8
8
0
33
49
24
8
8
16
8
16
16
16
16
2
2
12
16
16
24
4
1
9
16
16
16
0
9
32
32
8
8
0
8
8
24
24
1
8
40
0
0
16
16
16
16
16
16
16
16
16
16
16
0
0
0
0
0
0
0
0
16
0
8
10
10
10
16
8
8
8
2
8
1
1
1
0
34
0
8
8
8
8
0
0
0
0
0
0
32
6
0
0
9
0
0
16
0
4
4
0
8
12
28
15
15
2
0
8
8
0
0
1
4
0
0
0
2
2
2
2
18
18
18
16
22
8
8
8
8
0
8
8
32
32
32
16
16
16
16
16
0
0
0
8
0
6
6
6
8
8
8
8
8
8
0
16
8
8
0
0
0
16
0
8
8
8
1
4
24
4
8
8
8
0
8
24
24
1
1
0
0
8
0
16
16
16
0
0
0
0
8
8
8
8
8
0
0
0
2
8
8
12
0
0
0
0
16
16
16
8
8
0
4
8
4
0
16
16
16
16
16
16
16
2
2
40
40
8
8
0
16
0
0
0
8
8
8
8
0
0
8
1
1
1
1
1
1
0
0
2
2
4
0
0
8
0
0
0
4
16
28
4
0
16
16
16
1
2
4
0
16
2
2
2
2
2
0
0
8
8
8
8
8
16
0
0
4
4
4
8
48
48
48
48
8
8
8
8
8
8
16
0
0
8
8
8
0
0
0
0
4
17
1
1
16
16
0
6
6
1
0
0
0
0
0
32
40
40
0
16
0
16
16
16
0
7
0
0
4
4
4
16
0
1
16
16
16
0
8
16
16
0
0
0
0
0
0
0
0
0
0
0
16
24
0
8
8
0
9
1
0
0
32
32
32
8
8
8
8
8
20
16
16
4
4
8
0
0
0
16
0
0
8
8
24
24
24
1
1
8
32
32
0
0
0
0
0
2
2
0
0
56
56
56
16
8
0
0
16
16
16
8
4
8
8
8
18
8
0
4
20
20
0
24
24
24
16
0
0
0
0
0
0
16
4
0
0
8
8
8
0
1
0
0
4
4
4
8
16
16
2
10
17
17
0
1
8
24
0
0
0
0
0
8
0
8
8
1
1
4
16
16
8
8
8
8
8
8
8
16
16
16
8
0
0
0
16
8
8
8
8
8
8
8
8
8
1
1
8
8
16
8
8
10
10
1
8
1
0
8
8
8
8
14
18
8
8
16
16
16
16
16
8
0
0
12
4
4
0
0
0
4
20
20
8
2
24
24
24
0
0
0
16
1
0
16
1
1
1
16
0
0
32
8
8
8
16
8
16
16
16
16
16
16
16
32
0
0
0
0
0
0
0
0
0
4
4
16
16
16
16
0
0
8
8
1
1
1
1
0
2
8
0
2
40
48
25
24
4
4
0
0
0
2
2
2
0
8
0
8
8
8
16
16
16
16
17
0
2
2
0
0
0
0
8
8
0
8
0
4
4
4
8
0
8
16
16
0
0
0
4
0
1
8
0
0
44
44
20
21
20
1
1
1
16
16
8
0
0
0
16
16
0
4
16
16
16
16
0
0
0
0
0
0
2
4
0
4
12
12
12
12
12
12
5
0
8
8
8
8
8
2
2
0
0
0
0
0
0
4
4
16
8
16
16
16
16
8
8
2
2
16
16
0
16
16
16
8
8
0
0
0
16
0
0
1
0
0
0
0
4
16
16
16
16
16
16
2
32
32
32
18
33
4
8
8
8
0
16
16
0
0
0
0
0
0
0
0
0
1
0
8
8
16
34
34
34
34
0
0
8
16
16
16
16
0
60
60
60
60
60
8
8
4
4
4
0
0
0
10
8
8
2
0
0
8
49
0
2
2
24
0
2
4
16
16
0
0
0
0
0
0
0
0
0
8
33
33
0
8
0
16
0
4
4
4
0
0
24
0
8
8
8
0
2
2
0
0
8
8
8
0
24
2
2
8
2
2
0
0
0
0
0
1
0
1
8
1
0
0
8
8
8
16
16
0
0
0
0
4
8
22
8
8
8
8
48
48
48
48
48
0
8
0
0
8
16
16
0
8
24
0
2
14
14
4
32
32
0
0
0
0
0
4
9
24
0
0
0
0
4
0
16
16
8
0
0
0
0
0
16
16
16
16
16
4
4
4
4
8
0
0
0
16
8
8
0
0
0
8
16
0
0
32
32
32
0
0
0
8
0
0
0
8
0
8
8
2
8
36
16
16
16
16
0
0
0
0
4
16
0
0
0
0
8
8
16
16
16
16
1
24
2
2
16
16
8
8
0
0
12
12
12
12
0
0
8
8
8
8
16
16
1
1
1
0
0
0
0
0
0
0
22
22
0
4
0
0
0
0
0
4
0
2
0
1
1
1
1
1
4
2
2
2
16
0
0
0
0
8
8
16
16
0
2
2
0
8
24
0
0
0
0
8
0
32
56
0
8
0
0
0
17
0
0
32
8
8
8
8
8
8
8
8
8
6
1
16
0
0
0
16
16
16
24
24
0
22
24
8
8
8
0
0
1
1
1
0
0
0
8
8
8
8
16
16
8
8
16
0
8
0
16
2
0
0
0
8
8
4
32
0
0
16
16
16
0
16
16
8
0
0
8
8
8
0
0
0
0
0
4
4
8
0
9
0
0
0
0
0
4
0
0
24
16
0
8
9
1
1
1
1
1
8
8
0
0
16
16
16
16
16
16
16
0
1
8
8
0
0
0
0
8
4
8
0
0
0
32
8
16
16
0
0
8
8
8
40
40
1
16
16
16
2
0
0
1
0
16
0
0
16
16
16
16
16
16
16
0
0
1
8
8
8
8
16
16
0
0
0
0
2
2
2
16
16
0
0
0
8
8
0
0
16
0
2
0
0
1
1
1
4
0
0
0
0
16
16
16
16
0
0
0
8
16
2
0
0
8
8
8
34
16
8
4
4
0
0
4
4
32
18
0
8
8
8
0
0
0
2
0
0
3
3
0
0
0
8
16
16
8
16
16
8
16
0
1
24
24
8
24
0
0
16
16
8
0
16
1
1
16
0
0
0
8
16
8
8
8
20
32
0
8
8
0
0
0
0
8
16
16
0
8
0
0
0
0
0
0
0
0
24
24
24
32
4
32
32
32
4
16
16
0
2
2
0
2
1
1
1
0
8
32
32
32
0
16
8
0
0
0
0
1
1
0
8
1
0
24
8
0
0
0
4
4
1
1
8
8
0
0
0
0
2
24
8
8
1
4
8
4
12
12
12
12
12
12
0
16
16
16
16
8
8
8
8
8
8
8
8
0
0
0
4
0
20
1
0
0
8
0
0
8
8
8
8
8
8
0
0
8
8
8
8
8
16
16
0
0
24
4
4
4
4
4
16
16
0
16
16
16
16
4
4
4
16
16
16
16
24
0
0
8
8
8
30
0
8
8
1
1
0
0
0
8
8
8
16
4
0
0
0
0
0
0
16
16
2
0
16
8
8
1
0
16
3
2
48
48
12
12
0
0
0
32
0
0
16
16
16
16
12
60
4
0
0
16
16
16
16
16
16
16
8
0
2
0
0
0
4
16
16
16
16
16
8
8
0
0
32
32
8
0
0
8
16
16
16
0
0
0
0
0
0
18
0
0
16
0
0
8
8
8
16
1
1
0
16
16
0
0
32
32
8
8
0
6
0
0
10
10
8
8
16
0
0
0
16
5
13
2
4
8
8
8
8
16
32
40
8
8
8
8
20
4
42
2
8
8
0
0
8
16
0
0
4
4
0
0
0
4
16
0
0
16
16
4
16
0
0
2
2
2
2
4
6
8
62
8
36
36
36
36
36
44
16
0
0
4
4
4
4
4
4
4
8
16
18
16
51
18
18
16
20
0
2
1
1
1
8
12
2
48
16
24
17
17
8
8
0
16
16
16
8
16
16
16
16
16
0
0
6
8
16
16
16
16
0
0
8
9
16
16
16
8
48
0
8
8
48
0
32
8
16
16
16
0
0
0
0
6
0
8
8
8
8
8
8
16
16
16
16
4
8
8
1
0
24
2
16
2
16
16
16
16
16
16
16
6
6
8
8
17
17
17
16
16
16
8
16
16
17
17
17
0
0
8
12
12
4
4
0
0
0
0
0
0
0
0
0
0
0
16
0
0
16
0
0
0
16
0
8
0
8
0
16
16
16
16
16
24
16
12
8
0
0
0
8
8
0
4
8
8
8
16
16
12
4
16
16
16
0
35
35
56
56
0
0
4
8
32
33
0
0
0
0
0
0
0
0
16
16
0
4
16
16
1
1
1
1
0
0
16
16
16
0
0
0
0
16
1
1
1
0
1
2
0
8
8
6
17
17
16
0
0
0
0
16
0
17
0
0
8
8
16
8
8
8
8
0
0
0
0
0
0
0
0
2
2
12
24
24
6
8
8
16
4
4
16
8
8
9
8
8
0
0
0
0
0
8
0
16
0
12
0
0
0
0
0
0
16
8
8
8
8
8
12
0
8
0
0
0
0
0
0
24
10
24
8
8
8
1
0
8
2
0
0
8
1
1
1
1
8
8
4
0
0
32
32
2
0
0
16
0
0
0
0
8
12
12
0
4
4
8
8
0
0
0
0
0
0
0
0
0
0
8
8
8
16
16
16
4
0
0
2
1
4
8
0
4
0
0
8
8
8
1
1
1
8
16
16
8
4
0
0
0
0
0
0
8
2
2
0
8
8
8
17
4
4
4
4
4
16
16
8
8
16
0
36
8
8
16
16
32
1
16
16
27
16
0
16
16
0
0
16
16
9
0
0
4
8
12
13
13
4
4
4
8
8
8
0
0
8
8
4
0
0
32
32
1
4
0
0
2
24
24
17
17
16
16
6
16
8
8
25
1
8
8
41
8
0
8
8
4
4
4
8
8
8
8
8
8
8
8
8
40
40
8
2
2
0
36
36
21
8
8
8
16
16
2
28
8
20
8
8
8
0
0
4
4
4
16
0
8
2
16
16
8
0
0
0
8
16
8
8
0
16
0
8
0
0
16
0
8
8
12
12
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
8
24
24
2
38
0
8
8
8
8
0
0
32
0
0
0
24
0
0
32
24
0
8
26
8
48
16
0
8
8
2
8
13
13
39
8
0
0
0
0
1
4
1
8
9
0
0
0
0
8
0
0
0
0
0
0
32
8
16
16
16
16
16
4
0
4
8
18
2
0
0
5
5
0
0
0
0
8
1
1
1
2
16
0
8
0
16
0
16
0
8
8
8
8
8
2
8
8
0
0
0
0
0
0
0
0
0
1
60
1
0
0
8
16
0
16
24
8
0
0
8
8
0
4
4
0
0
16
4
32
0
0
0
16
14
28
28
28
16
0
8
56
24
24
24
16
16
16
16
8
0
0
8
0
0
8
8
8
8
8
8
0
0
0
2
16
16
38
38
0
1
1
32
2
0
0
8
0
0
0
16
16
1
0
16
0
8
8
4
8
8
8
8
1
8
0
2
29
4
4
0
0
0
0
16
4
8
0
24
8
1
1
1
1
1
0
8
8
3
3
16
16
0
16
2
2
2
0
0
0
8
24
17
0
8
8
32
0
0
0
0
16
0
0
0
0
1
1
1
1
1
8
40
8
0
3
2
2
2
2
2
8
8
4
0
0
16
4
9
16
2
0
8
8
8
8
16
16
8
0
33
40
0
8
0
0
0
0
0
0
0
16
1
2
16
16
0
8
8
16
8
8
32
17
32
0
8
0
2
2
0
8
8
8
0
0
32
16
16
0
0
0
8
0
1
1
1
0
0
0
0
1
1
1
1
0
4
4
4
4
4
8
0
0
4
4
8
8
24
24
0
0
0
0
0
0
0
0
0
0
1
16
0
40
40
0
0
0
0
4
16
16
40
0
0
0
8
8
0
0
0
16
16
16
0
8
8
8
2
20
20
20
0
0
0
0
0
0
4
4
0
0
8
16
16
0
4
1
0
6
4
4
4
4
4
8
0
8
8
8
8
8
4
4
0
2
0
0
0
0
16
8
8
8
4
16
0
0
0
0
0
32
16
16
0
16
0
24
24
8
8
8
8
0
0
0
4
4
1
1
24
0
5
42
16
0
0
0
0
8
8
8
8
8
8
0
16
0
8
8
8
16
16
16
8
8
16
8
28
4
4
0
32
1
1
1
0
0
0
16
16
0
16
16
16
16
8
8
8
2
0
0
3
8
0
8
0
0
16
16
0
16
3
8
4
8
8
0
0
16
26
16
16
8
0
0
0
0
0
0
1
0
0
0
1
1
4
8
24
24
0
8
4
1
1
16
8
24
2
8
0
0
0
0
0
0
2
2
8
0
8
0
0
24
4
0
1
1
1
1
1
8
0
0
1
1
32
16
0
16
0
0
4
4
4
0
32
0
0
16
16
16
16
16
8
0
0
4
0
0
9
2
26
8
4
0
0
0
8
1
8
0
16
20
16
16
0
0
0
32
0
0
8
8
8
8
0
8
0
8
17
17
0
0
32
32
32
32
48
1
1
16
16
0
0
0
0
0
0
0
16
8
0
0
0
8
16
4
8
32
0
8
8
16
16
0
0
0
0
4
16
16
36
36
0
4
4
2
0
0
0
0
0
2
1
8
8
0
0
0
0
8
4
4
24
0
0
0
16
16
4
4
4
0
8
8
8
8
0
0
18
0
0
25
25
2
2
8
0
0
2
18
8
8
2
32
0
2
2
2
2
2
2
4
0
0
0
0
8
16
16
0
0
20
0
0
0
8
8
0
8
0
16
0
0
4
2
1
8
8
8
8
2
0
0
0
0
16
16
16
0
0
8
0
0
0
0
0
0
8
4
16
0
2
2
8
0
4
4
0
24
16
16
24
0
0
32
0
4
16
16
0
16
16
0
0
0
0
0
8
8
24
24
0
4
4
4
12
4
8
8
8
8
8
8
4
4
0
16
16
8
8
8
32
0
0
16
16
16
16
16
16
16
8
8
24
2
0
12
5
5
8
8
8
56
56
56
8
8
16
16
0
0
0
8
8
0
0
16
16
16
16
16
0
16
0
0
0
8
1
8
0
8
8
8
8
8
8
0
0
1
2
8
8
8
0
0
0
2
12
12
0
4
4
4
4
4
17
8
8
8
8
8
0
0
0
0
0
0
8
32
16
8
8
8
24
17
17
16
8
8
8
16
16
16
8
40
40
40
0
8
8
8
0
16
16
8
1
0
16
16
0
0
16
16
16
16
16
16
16
16
3
1
1
0
0
0
0
16
16
0
0
8
8
16
4
4
8
8
1
8
16
16
16
0
0
0
8
8
8
9
8
0
2
2
16
8
48
0
0
0
0
16
28
28
8
8
16
0
0
0
0
0
0
2
24
8
6
39
6
6
6
0
0
0
0
16
0
0
16
0
12
8
1
16
0
0
2
16
0
0
0
8
8
16
7
8
8
0
6
6
16
18
18
18
16
4
4
8
8
4
0
0
0
0
0
0
0
0
1
0
2
16
16
16
16
8
0
22
16
5
0
0
1
8
0
0
0
8
8
8
4
0
0
0
0
0
4
4
8
8
8
8
8
0
16
16
16
16
24
16
2
16
16
16
1
12
16
0
16
16
2
2
0
8
8
2
2
16
16
0
24
0
0
0
0
8
0
0
16
16
0
0
8
8
0
16
16
16
16
16
0
8
8
8
8
8
8
8
1
1
32
16
16
16
16
0
0
9
9
16
8
8
0
16
16
8
0
18
18
0
39
47
1
4
4
4
4
4
4
4
4
4
4
4
4
4
0
0
0
8
24
0
24
24
16
16
16
16
16
0
1
1
1
16
0
4
0
8
24
8
8
8
0
8
0
2
2
2
0
9
0
8
8
0
0
0
32
8
8
8
1
16
16
16
8
0
0
16
16
0
0
0
48
48
0
0
0
0
0
24
24
24
24
2
16
0
16
16
16
16
34
0
8
8
8
8
8
1
0
1
1
1
1
2
2
0
0
4
1
1
0
2
0
16
16
0
0
0
16
16
16
12
8
8
8
8
4
8
8
20
4
0
12
12
0
0
1
0
0
0
4
0
0
0
16
8
0
0
0
0
16
0
8
8
8
0
8
8
16
8
8
0
2
2
2
0
16
16
16
16
16
8
8
8
0
1
1
1
16
16
16
2
2
2
0
2
2
2
2
8
8
0
0
16
0
0
4
8
0
0
0
4
4
8
8
20
20
4
21
0
0
0
0
8
8
8
8
8
4
0
16
6
16
1
1
1
1
1
32
0
8
8
8
8
0
0
8
8
8
16
16
16
16
16
0
1
16
0
18
32
0
0
0
0
24
1
1
1
1
4
0
8
1
2
8
12
4
4
16
0
8
8
8
2
16
1
0
0
0
34
8
8
16
8
4
8
4
0
16
10
10
10
10
10
10
16
4
4
4
19
18
16
16
8
16
16
0
28
0
0
0
2
0
25
17
0
0
0
16
0
8
1
0
0
0
0
0
8
8
16
0
2
1
1
8
16
0
0
8
8
8
8
0
8
17
16
0
32
32
0
0
8
4
4
0
0
2
16
16
16
16
1
16
0
2
2
2
0
0
8
8
2
0
0
1
1
1
4
16
16
0
0
32
0
8
8
0
0
0
0
32
32
8
8
8
8
16
0
36
16
0
0
0
0
16
8
8
8
16
16
0
0
0
0
8
8
20
16
16
0
0
0
0
8
8
8
0
16
16
8
1
16
8
0
0
2
2
0
16
16
10
4
4
4
4
8
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
16
1
16
25
1
9
9
9
8
8
0
8
8
0
0
42
4
32
8
8
4
0
0
24
24
24
24
0
8
8
8
0
16
18
18
18
1
17
16
16
16
16
1
0
4
4
0
16
16
0
0
4
4
4
4
2
0
0
0
0
2
0
0
16
0
0
0
0
0
0
0
8
0
0
1
0
2
2
2
9
25
9
0
16
8
4
4
8
8
8
0
0
8
8
4
4
4
4
4
5
0
8
1
1
1
1
1
1
0
8
4
0
0
18
16
16
0
8
8
16
0
32
16
16
20
8
32
4
4
8
8
0
0
8
8
8
8
8
16
0
8
0
16
0
4
0
0
4
0
16
0
60
24
0
8
8
16
16
16
16
16
16
16
0
12
12
18
16
16
16
16
0
24
24
32
32
32
0
16
0
0
0
0
16
0
17
9
0
1
1
1
10
8
0
0
0
18
16
16
16
24
24
24
16
9
0
0
0
0
0
0
0
0
0
16
0
0
8
4
0
0
8
8
8
8
8
8
8
0
16
0
8
16
8
0
8
8
17
8
8
24
8
0
0
0
0
0
8
8
8
8
32
8
1
1
4
0
32
32
32
32
32
32
0
8
4
4
0
10
1
1
0
4
1
1
0
8
8
20
20
20
8
10
0
0
16
8
32
30
30
30
30
0
0
16
16
2
8
8
8
8
0
0
0
2
0
16
2
4
4
4
0
0
0
1
2
32
32
8
1
0
20
21
21
21
0
0
0
0
0
0
0
0
1
0
0
8
0
16
16
0
0
0
0
0
1
3
1
1
1
5
5
5
5
5
5
0
0
0
8
0
0
8
8
2
16
0
1
1
1
1
1
0
0
16
16
4
4
32
16
16
24
0
1
2
0
0
0
0
0
0
0
0
4
16
16
16
16
8
0
4
8
16
16
16
0
0
0
16
4
4
16
0
8
8
0
16
1
1
1
48
0
0
0
16
16
0
0
16
16
16
0
8
0
16
16
8
0
0
16
16
32
4
4
2
2
0
4
4
16
16
32
0
36
8
1
0
0
0
0
0
0
0
0
0
0
0
8
2
4
40
0
24
24
0
0
0
8
12
0
0
16
8
0
56
0
0
2
8
8
8
0
0
16
8
8
8
8
0
4
1
4
4
4
0
0
0
0
0
0
20
18
8
0
1
1
0
0
16
0
0
16
0
2
2
2
0
0
0
0
0
0
0
4
0
0
8
0
0
0
0
0
0
0
16
0
0
0
8
8
16
16
12
8
8
0
0
0
8
16
9
8
6
16
16
16
16
16
16
16
8
33
0
0
16
16
16
9
8
0
0
0
4
0
2
0
12
0
16
16
8
8
32
4
2
2
16
16
1
0
16
8
2
8
8
1
1
0
0
8
2
0
0
16
2
2
2
2
2
8
0
16
0
16
16
16
0
0
0
0
0
0
0
4
4
16
16
8
24
8
8
8
8
1
0
4
16
16
16
0
0
8
8
1
32
32
32
8
8
0
2
0
8
16
16
9
9
9
16
0
16
0
0
4
0
0
0
24
0
24
24
4
16
16
0
8
0
0
0
0
0
0
8
9
16
28
16
8
8
8
48
48
32
16
16
0
0
1
1
33
16
8
0
0
0
0
8
8
8
0
0
0
0
18
0
16
4
8
0
0
16
16
0
0
0
0
0
16
32
0
0
0
16
16
8
8
32
0
0
0
4
4
4
4
0
0
0
0
0
8
8
8
0
0
4
4
1
1
1
0
0
9
8
0
8
8
8
0
2
4
4
4
8
1
1
1
0
16
16
16
8
0
9
16
16
0
0
24
8
8
8
8
8
8
8
8
0
8
8
8
8
8
4
0
8
8
8
0
16
5
5
16
8
2
2
16
16
16
2
2
2
4
4
8
1
1
1
2
8
3
3
3
0
0
8
1
4
24
24
24
24
16
32
32
0
2
16
32
32
32
2
2
0
0
0
16
16
1
1
0
0
32
2
2
2
16
16
0
4
4
16
2
16
4
16
0
0
8
8
0
0
0
0
8
0
0
0
0
0
0
0
17
16
8
8
0
0
16
16
24
24
0
0
0
4
0
0
0
0
0
0
0
0
0
8
1
1
8
8
0
0
0
0
0
8
0
3
8
0
0
0
0
8
8
4
0
4
0
0
0
4
16
16
8
8
8
1
1
16
0
0
0
0
0
0
0
8
8
16
16
16
16
16
8
20
8
8
16
22
22
0
4
0
0
0
8
0
0
0
37
16
16
16
0
8
16
16
24
24
8
8
8
16
8
0
0
0
16
16
22
22
22
0
8
16
16
16
16
0
0
12
12
18
18
16
16
0
2
0
8
0
0
32
0
27
8
8
8
8
2
2
2
8
8
28
0
0
0
0
0
0
0
1
0
0
0
4
0
0
0
0
1
8
0
1
16
16
2
2
2
2
2
2
4
12
4
0
16
16
16
16
16
16
16
2
16
0
0
0
0
8
32
32
16
0
8
1
3
0
0
16
8
16
16
16
16
16
16
16
16
16
16
16
0
0
0
8
0
0
0
0
0
0
0
8
1
1
0
0
0
40
0
2
0
0
0
0
0
6
8
0
8
8
0
1
1
2
2
20
4
1
1
8
8
8
8
8
0
0
24
0
8
24
24
21
21
21
21
21
0
0
24
24
8
0
1
0
0
4
16
8
2
2
2
1
1
16
16
0
0
22
22
0
0
0
0
24
1
0
0
0
16
0
0
0
0
4
4
25
5
0
1
1
0
0
0
0
8
0
0
2
2
2
8
8
0
0
2
16
16
16
16
24
0
0
0
0
0
0
2
4
16
8
8
1
1
1
1
1
1
1
1
0
8
8
3
8
8
8
16
4
0
0
0
0
0
0
0
8
8
0
0
0
0
0
6
21
1
1
1
16
2
8
8
8
8
4
4
4
0
0
0
1
1
1
16
16
8
16
8
4
32
32
0
0
0
8
16
16
0
8
8
8
8
8
0
16
16
8
16
16
16
0
16
8
8
8
8
10
10
12
12
12
0
0
16
0
34
42
34
40
0
32
4
8
8
4
4
4
4
16
4
32
10
0
8
2
1
1
20
4
1
1
1
1
19
8
8
2
2
2
16
6
2
2
1
1
8
16
16
0
4
4
0
16
0
16
16
0
16
8
32
32
32
32
32
32
32
32
32
32
32
32
32
32
8
8
0
0
0
0
0
0
24
24
24
0
0
48
0
0
2
6
0
8
8
8
8
2
0
4
4
0
0
8
2
2
0
0
0
8
1
1
1
0
3
0
0
0
16
16
8
8
38
4
8
0
18
18
0
0
2
2
2
8
8
8
25
0
18
18
18
8
8
16
4
16
2
8
8
8
8
8
12
12
12
40
11
16
16
2
2
2
2
2
0
0
0
0
0
16
16
16
0
0
0
8
0
0
0
8
0
1
0
12
12
8
16
0
8
0
9
9
8
8
8
8
0
16
1
1
16
16
16
16
16
12
12
1
1
1
1
1
10
10
10
0
8
8
16
0
20
20
20
28
0
16
0
0
0
0
0
0
0
16
16
8
0
0
8
8
0
0
0
4
4
0
0
0
1
0
0
0
0
14
0
24
0
8
8
8
8
2
2
2
2
16
16
0
0
8
0
0
2
16
8
16
17
17
17
16
16
2
0
8
0
16
0
0
0
8
8
24
0
0
1
2
2
2
1
20
0
0
0
0
8
8
0
16
20
8
8
16
0
0
0
0
0
1
8
1
16
8
8
0
0
0
0
16
0
4
50
0
16
16
0
2
2
8
0
18
18
4
4
0
0
8
0
0
0
0
0
0
0
0
0
2
0
0
0
8
8
6
6
6
2
0
1
1
0
0
4
4
16
16
2
8
8
8
0
16
2
8
0
0
6
0
8
8
8
34
0
0
0
0
0
0
8
8
8
8
8
8
0
0
16
16
16
16
8
8
0
0
4
8
8
8
8
0
0
0
8
8
8
0
0
8
0
0
0
0
40
8
16
8
8
8
0
0
0
0
0
18
16
16
4
0
4
4
4
4
4
4
4
16
8
1
16
0
0
1
8
22
22
0
0
0
8
8
8
24
24
8
8
8
8
8
0
0
24
1
2
0
1
0
0
0
0
32
0
4
4
8
8
19
1
8
8
16
16
17
0
4
20
8
0
0
16
16
16
8
17
17
17
0
8
2
2
2
32
20
16
16
1
8
8
16
0
0
8
0
8
8
0
0
0
1
1
1
0
0
8
0
8
0
0
0
2
8
8
0
0
32
8
0
0
0
0
16
24
8
8
24
24
24
0
0
8
0
16
0
8
8
8
8
0
8
16
9
0
8
8
2
2
2
0
0
8
8
8
0
0
8
8
0
0
0
4
8
0
0
0
16
0
0
0
24
24
16
4
4
4
4
16
16
4
0
0
0
0
0
0
0
8
8
8
8
8
8
8
16
16
0
2
2
2
1
1
1
16
0
8
0
9
8
8
8
4
4
8
8
8
8
8
8
8
0
16
16
16
0
0
16
16
8
8
0
0
16
1
0
0
4
0
0
1
0
3
4
4
0
8
8
8
8
24
8
20
16
4
0
0
16
16
35
35
0
0
4
0
1
1
1
2
16
25
25
62
24
16
16
0
16
0
0
2
0
0
0
8
8
32
32
32
32
8
0
12
4
4
24
0
0
0
20
8
8
8
0
16
16
16
21
16
4
8
8
0
8
8
8
8
8
8
8
0
0
16
2
2
0
0
0
8
0
0
0
16
8
8
28
8
8
0
0
0
0
2
4
0
0
0
0
0
8
8
16
16
16
40
40
40
0
1
24
8
16
16
16
8
8
0
16
16
0
17
16
0
0
0
0
8
8
8
8
16
16
16
16
16
0
0
4
4
8
26
26
26
26
8
4
24
0
8
32
0
8
8
19
19
0
20
0
8
0
16
16
8
8
2
0
0
0
1
16
16
16
24
0
0
20
16
0
0
24
24
8
8
8
8
8
8
8
0
0
16
16
0
0
0
8
3
0
8
16
16
16
8
0
16
35
35
8
8
8
8
8
8
4
4
4
16
16
16
0
4
16
16
16
8
8
8
8
16
16
4
4
16
8
8
0
0
32
0
0
0
32
2
8
0
4
16
1
0
0
0
0
0
0
0
51
0
0
8
8
8
1
8
8
0
0
0
16
16
2
0
0
0
0
0
0
2
2
16
0
0
24
9
8
8
8
8
48
0
16
8
3
16
8
2
0
0
0
0
0
16
16
0
16
16
16
0
0
4
2
0
16
16
1
22
8
8
8
0
8
8
8
8
8
13
4
4
16
8
0
0
0
0
0
9
9
4
0
0
0
10
4
0
0
12
12
8
8
8
17
0
0
0
0
0
0
16
16
16
16
16
0
16
16
16
16
0
0
0
0
8
8
8
1
1
0
0
16
16
16
4
8
8
2
16
16
16
16
16
40
0
8
8
8
8
8
0
6
0
0
0
0
16
0
0
0
8
8
5
1
0
32
32
8
9
20
8
8
1
1
1
8
8
0
2
8
4
2
0
0
16
8
8
2
0
0
0
0
1
24
8
1
1
1
1
1
1
1
8
32
0
8
4
8
8
0
0
0
16
16
0
0
1
16
0
0
0
32
32
0
0
0
4
2
0
8
8
0
8
0
0
8
8
8
8
16
1
2
2
2
0
8
2
0
0
0
16
16
16
16
16
16
16
16
16
16
16
16
16
1
16
10
0
0
0
34
0
24
24
8
0
32
0
0
8
8
8
8
0
8
8
8
8
8
8
0
8
16
0
8
8
0
0
3
0
0
8
2
0
0
2
0
0
16
16
0
0
0
0
0
8
8
8
8
12
8
16
16
16
0
0
0
0
8
8
8
16
16
17
17
8
8
8
8
8
8
1
0
1
16
16
8
8
8
0
0
0
2
16
58
4
1
2
2
0
8
8
16
16
16
32
32
0
0
0
22
2
2
20
20
10
8
8
8
8
8
8
0
0
0
0
0
0
0
0
2
0
0
0
0
8
16
8
8
0
0
0
0
1
12
8
0
8
8
4
4
12
0
48
22
16
8
8
8
0
0
16
8
2
8
8
8
1
1
1
8
0
0
0
0
8
8
8
4
0
0
0
2
0
0
40
8
0
0
1
1
1
1
8
19
19
0
16
16
16
0
0
0
0
0
8
4
0
16
16
4
8
0
0
8
16
16
16
8
8
0
2
2
2
16
0
2
0
0
2
2
16
0
0
0
9
0
0
0
0
0
0
0
8
8
4
8
8
2
2
4
4
4
8
8
8
8
8
9
4
0
0
16
16
32
32
8
8
8
24
0
32
4
24
0
0
16
24
8
4
8
0
0
0
4
12
12
8
8
8
40
17
2
2
0
0
0
0
0
0
0
16
1
8
4
0
8
8
8
0
0
0
20
26
26
22
2
0
0
0
4
0
16
16
0
0
8
8
0
0
0
0
2
8
8
0
10
0
8
16
4
4
8
8
22
0
0
0
18
8
16
16
16
16
16
8
12
12
12
0
8
8
0
24
24
17
17
8
8
32
8
0
0
0
0
0
0
0
16
16
16
57
57
57
57
57
0
0
20
20
0
0
0
57
0
0
0
8
8
8
2
2
1
1
2
0
8
8
8
0
20
20
16
16
16
4
16
8
8
8
16
0
0
16
8
0
0
27
27
4
24
0
0
0
0
0
0
0
2
0
0
0
0
1
8
32
4
0
0
0
0
8
8
2
2
16
40
40
8
24
1
0
8
24
0
0
24
24
0
4
4
0
0
4
4
3
9
8
8
8
8
8
2
2
8
4
0
0
1
1
8
16
0
41
41
41
0
0
0
4
16
0
0
0
0
0
0
0
16
16
0
0
0
0
2
8
0
0
20
4
4
4
4
8
0
0
20
20
1
1
0
0
2
0
0
16
0
17
0
8
8
8
2
2
2
21
16
0
8
0
32
16
0
0
0
0
2
2
2
17
24
24
24
24
8
16
8
4
4
4
16
16
28
0
8
8
8
16
16
0
0
0
0
8
8
8
0
0
0
8
8
16
0
0
0
16
0
0
0
0
16
8
8
0
0
8
0
0
0
0
0
0
4
0
0
32
32
32
8
0
40
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
8
8
8
0
16
16
0
0
8
8
0
0
0
8
8
1
8
16
16
16
0
0
0
8
8
8
0
0
0
0
0
0
37
37
16
0
0
8
8
0
16
2
32
32
1
12
8
0
8
8
0
0
1
1
8
8
24
32
32
32
32
0
0
0
16
0
0
0
0
0
0
12
4
8
8
8
1
1
1
3
0
0
10
6
6
16
0
16
16
16
1
0
0
8
8
8
32
4
4
4
8
24
24
24
8
8
0
0
0
8
8
8
16
0
8
0
8
16
0
0
0
0
16
4
8
8
9
9
8
0
26
26
4
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
1
4
0
0
0
16
48
48
48
24
2
2
8
8
8
2
17
4
4
8
4
0
0
12
0
8
4
4
2
0
0
1
16
8
8
8
0
8
0
8
0
0
3
3
4
4
0
0
0
4
4
16
8
17
0
0
0
2
28
0
0
0
8
0
8
0
8
4
4
16
0
5
1
1
10
0
0
0
8
0
0
0
0
16
16
8
8
4
32
0
0
0
1
9
0
0
0
16
16
32
18
8
17
0
8
8
8
4
0
0
0
0
8
3
4
0
0
16
32
8
8
8
16
0
4
8
2
2
0
0
0
0
0
0
1
1
8
8
8
8
0
16
0
0
0
8
24
0
16
16
16
16
16
0
0
16
16
16
16
0
4
16
4
4
2
2
2
16
16
0
0
0
0
0
2
0
0
0
0
16
1
8
0
0
0
0
16
0
4
4
8
0
0
0
16
16
4
0
0
16
16
8
8
0
0
0
0
16
0
8
8
16
16
8
0
0
0
4
4
1
1
0
8
0
8
2
6
0
0
0
0
8
10
0
8
1
32
32
0
16
16
16
0
0
0
0
0
0
0
8
16
8
8
8
16
16
16
8
1
8
8
1
1
1
16
16
0
0
0
16
16
24
24
16
0
16
8
4
0
1
1
0
0
8
16
0
0
16
9
1
8
0
8
0
2
2
0
4
4
24
24
0
8
8
0
0
4
4
0
4
4
0
8
16
16
0
8
4
16
16
16
4
8
8
8
0
0
16
24
8
1
0
0
0
4
16
2
8
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
8
16
16
0
0
8
48
48
16
16
24
24
24
24
24
0
16
1
8
28
0
0
8
0
0
4
8
8
8
16
1
8
8
32
0
8
0
8
8
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
16
16
8
8
1
2
0
18
16
0
0
1
0
2
0
0
0
8
32
0
0
0
8
8
8
8
8
53
37
4
0
32
32
0
0
12
8
0
0
16
16
0
0
0
0
0
0
0
0
8
4
36
32
16
16
8
8
8
2
16
16
16
16
16
16
17
16
16
0
8
0
8
8
4
0
4
16
24
16
16
16
0
0
24
16
8
8
0
4
4
4
16
16
2
4
4
4
4
4
4
4
4
32
32
24
0
0
0
0
16
16
16
8
8
8
16
16
16
41
4
4
4
0
0
8
8
12
8
20
20
20
8
8
0
0
0
0
16
1
8
24
4
4
48
1
1
1
1
4
0
16
16
0
0
8
16
16
0
32
32
8
8
16
0
16
0
0
8
16
32
33
33
0
32
32
0
0
4
0
0
2
2
16
8
8
8
8
8
0
0
5
8
1
16
8
0
8
8
0
0
0
0
0
9
9
2
2
0
1
8
10
17
0
8
8
8
16
16
16
4
16
16
8
8
8
8
8
8
8
8
8
16
16
16
16
16
16
16
16
0
0
0
0
0
2
0
10
16
16
16
4
0
0
0
16
24
24
24
24
8
8
0
0
19
19
0
0
16
0
0
16
16
16
4
8
0
4
4
16
2
2
1
1
16
16
8
8
0
0
0
2
16
16
16
16
16
16
16
16
0
4
16
8
16
0
0
0
0
16
0
0
0
0
8
8
8
4
0
8
0
0
8
8
40
40
40
0
16
16
16
16
0
0
8
0
24
0
16
8
8
8
8
8
8
8
16
21
21
9
8
8
8
16
16
8
8
19
19
48
1
1
0
0
2
2
0
0
2
2
2
0
0
0
0
0
0
0
16
0
25
8
20
20
4
4
4
4
4
16
16
16
16
16
4
0
0
0
0
3
1
0
8
8
0
8
8
0
8
40
1
1
4
4
0
60
16
16
0
4
4
16
16
16
16
16
16
8
20
16
8
0
16
16
16
8
16
0
0
0
1
1
8
8
8
2
2
24
8
8
8
8
8
16
16
0
0
16
16
16
8
25
0
0
32
16
16
16
16
16
16
21
0
16
16
16
8
16
24
24
8
0
16
8
8
0
8
18
1
19
8
8
8
24
8
0
1
1
1
12
4
5
4
4
0
4
8
0
12
29
0
8
0
0
0
0
0
0
16
16
0
0
0
8
16
16
16
16
16
16
0
2
2
0
0
0
16
16
0
8
8
0
0
0
8
8
8
8
0
8
8
0
0
0
8
8
8
12
12
12
12
8
0
0
16
0
0
8
8
16
16
16
4
40
28
28
4
18
8
8
8
0
0
4
4
4
8
8
0
0
0
0
0
40
8
1
8
8
8
0
8
0
0
0
1
1
1
0
0
16
24
16
16
0
1
0
32
16
0
1
4
4
8
0
16
16
8
8
8
8
0
0
0
0
0
0
0
0
0
2
2
0
0
0
8
8
8
8
8
8
4
8
0
0
16
20
0
4
0
0
1
16
1
32
32
32
32
32
0
0
0
16
16
6
3
3
3
4
1
0
0
4
16
18
0
0
8
4
8
8
8
0
0
0
0
0
0
32
32
32
32
32
16
16
16
4
1
1
1
4
4
1
1
1
0
16
16
8
8
4
4
16
0
0
0
0
0
8
8
0
8
16
1
1
0
0
0
24
24
1
1
13
16
0
4
8
8
8
8
0
4
4
4
4
0
0
0
16
16
16
4
4
4
8
8
16
16
0
0
4
4
0
0
0
0
0
0
10
16
16
16
20
0
0
8
8
40
8
8
18
18
18
18
18
18
20
8
8
8
16
16
0
0
0
1
4
4
4
8
8
0
16
16
0
0
2
0
0
1
8
1
8
0
16
16
16
0
16
16
1
25
25
32
16
16
0
8
16
16
16
8
16
16
16
16
0
1
0
0
0
8
4
8
8
8
8
2
0
8
24
8
8
8
0
0
32
8
8
8
0
8
8
8
8
8
8
8
8
16
0
0
12
12
8
8
8
8
8
8
0
0
1
1
1
1
1
2
28
28
45
16
24
24
24
42
0
0
0
0
0
2
0
0
16
16
16
24
0
0
0
16
16
16
16
8
0
0
0
0
0
16
16
16
2
0
0
8
8
8
16
4
16
16
20
20
16
0
0
0
0
0
16
1
1
1
1
1
1
0
16
16
8
8
8
0
16
16
0
0
16
0
8
8
8
16
16
16
16
16
0
0
0
0
24
24
0
0
0
0
0
16
16
20
20
8
8
8
0
0
0
0
17
4
4
4
24
24
8
24
8
8
8
0
8
8
8
0
8
0
12
8
0
0
2
8
8
12
8
8
17
0
0
25
0
4
4
4
2
4
0
0
4
0
0
0
0
0
0
0
0
8
8
9
0
30
30
30
0
0
0
0
0
8
8
0
8
9
8
16
24
0
0
0
2
20
0
0
16
8
8
16
4
16
1
0
2
0
0
8
0
2
4
0
0
0
0
0
1
4
8
8
8
0
0
8
8
8
8
1
1
1
16
16
8
8
8
8
0
20
32
32
16
0
8
24
24
0
4
0
2
16
17
16
20
4
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
16
16
0
8
0
0
16
8
0
0
16
16
1
1
1
0
0
16
8
16
16
16
0
12
8
16
24
0
16
16
16
16
0
3
3
0
8
0
2
0
0
0
0
8
8
8
8
16
17
8
4
6
2
2
2
4
4
16
16
16
16
16
0
0
8
16
16
0
9
1
8
16
16
0
16
16
0
0
0
1
0
0
0
16
0
0
0
16
16
0
0
16
16
4
0
0
0
0
8
8
8
0
32
32
32
0
1
1
0
4
24
8
0
0
0
16
4
8
8
0
0
0
16
16
16
4
4
0
0
0
0
0
4
4
4
4
2
2
2
0
0
0
0
16
0
2
16
16
4
4
4
16
16
0
0
8
48
16
0
0
8
8
8
8
1
0
16
16
16
1
1
38
38
16
8
8
4
0
0
8
1
0
8
2
8
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
1
4
4
2
2
2
2
2
4
32
0
0
0
0
8
8
4
4
4
4
4
4
0
34
16
17
8
17
16
16
8
16
8
16
16
16
16
16
16
16
0
1
57
16
16
56
0
9
0
0
8
8
8
0
0
0
0
0
16
8
16
4
0
8
8
16
1
8
1
16
0
16
0
16
8
8
8
16
0
16
32
1
1
16
16
16
0
0
22
8
0
4
4
8
8
8
8
8
8
8
8
8
8
8
4
4
4
8
8
0
0
8
1
8
2
2
2
0
0
0
4
0
0
0
0
0
0
8
0
2
2
0
0
16
0
0
0
0
0
0
0
0
2
2
2
2
0
0
4
8
8
2
32
0
0
30
0
0
8
8
4
4
8
1
0
16
0
2
8
8
3
8
8
0
0
0
0
0
0
16
16
16
9
1
1
1
12
4
4
0
0
4
0
0
8
8
8
8
8
16
16
16
4
0
0
1
16
16
1
1
1
1
1
4
4
4
4
0
0
4
16
16
20
16
16
16
8
8
8
8
0
4
4
16
16
0
0
0
0
0
0
8
8
8
8
8
0
0
16
16
16
16
16
16
0
0
0
1
1
0
0
8
8
16
16
0
8
0
0
16
4
4
8
4
8
8
8
8
8
4
0
0
16
16
16
16
0
0
0
0
0
0
0
4
8
8
8
8
8
8
1
32
33
0
0
8
16
8
8
8
8
8
12
0
16
16
0
0
8
8
8
16
0
8
0
4
4
4
0
8
8
0
0
0
0
0
8
0
0
0
0
32
0
0
0
0
0
0
4
4
4
0
8
0
8
0
0
8
4
33
0
0
0
0
0
32
16
16
0
0
8
0
4
16
0
0
0
0
20
20
0
33
13
0
0
0
0
0
0
0
16
16
16
0
0
2
2
0
0
8
4
4
4
0
0
4
32
1
8
8
8
8
0
16
16
0
0
0
16
16
16
16
0
0
0
0
0
0
4
1
0
8
8
8
20
4
16
0
0
0
8
0
16
0
0
0
0
0
0
8
0
0
0
0
0
0
16
8
8
8
8
0
8
8
0
0
0
0
0
0
0
0
0
2
4
4
20
1
0
0
8
8
8
8
8
8
16
16
0
20
8
1
16
16
8
0
8
8
8
8
0
0
0
0
8
8
8
0
4
48
16
6
14
8
16
1
16
8
0
0
0
0
0
4
16
0
0
8
8
8
8
8
8
16
0
8
8
0
0
0
8
16
8
8
16
16
16
8
8
12
0
8
8
0
0
0
0
8
12
8
4
4
4
8
1
1
1
1
40
8
4
4
9
1
1
1
0
0
8
8
0
8
9
48
8
8
2
4
1
0
33
0
0
0
8
16
16
16
16
16
16
16
16
0
5
5
0
16
16
16
16
0
0
24
16
16
16
16
48
48
0
8
1
1
0
0
0
1
1
0
32
32
32
16
16
8
8
8
12
12
0
0
0
0
8
16
18
0
0
17
17
2
0
25
2
2
16
16
16
4
8
8
8
17
16
20
20
28
20
3
16
8
16
0
16
16
24
24
8
8
8
8
0
0
0
0
0
0
0
0
0
0
1
2
0
8
8
8
0
0
0
0
8
0
0
0
0
0
0
0
8
48
0
0
16
0
0
0
0
0
0
32
8
8
0
0
0
16
0
1
1
1
0
0
16
0
0
24
0
0
0
0
0
0
0
2
2
0
14
16
16
16
16
4
0
0
4
1
24
8
16
16
16
8
8
16
1
8
8
4
4
1
1
1
1
12
16
16
16
12
12
0
0
0
8
0
0
0
8
8
8
8
0
8
8
1
1
0
8
2
2
2
2
2
2
1
0
0
0
1
0
4
4
8
8
8
8
8
0
0
16
16
8
8
8
8
8
28
28
8
8
8
1
1
1
1
16
32
0
0
0
0
8
8
16
4
0
0
0
0
0
0
0
0
20
1
1
1
1
8
8
24
24
32
1
16
16
16
56
16
8
8
8
8
8
0
0
0
0
0
16
8
8
8
16
16
4
0
0
0
2
12
12
16
8
0
16
16
0
8
1
0
0
16
16
0
0
0
1
1
1
3
3
8
16
16
8
8
0
0
16
10
0
8
0
8
16
0
16
8
8
8
0
0
2
2
2
28
12
8
8
8
8
4
4
0
0
0
0
0
8
8
4
4
4
4
4
4
4
4
4
4
4
4
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
0
1
0
0
8
8
0
0
8
1
1
1
1
1
1
16
16
16
16
0
16
16
32
24
24
8
0
2
1
0
0
8
8
8
32
32
4
8
16
17
0
0
0
40
40
4
16
0
0
26
16
8
4
8
0
0
0
0
8
8
8
0
0
12
12
0
18
18
1
1
1
9
9
9
0
2
0
0
32
32
32
32
22
22
22
4
4
48
8
8
8
8
0
0
0
0
0
0
16
0
16
16
16
16
6
6
6
8
8
1
33
33
33
8
0
8
0
17
8
8
8
0
0
4
4
8
0
0
4
36
36
0
0
16
16
8
8
4
0
0
16
0
4
4
8
0
0
0
8
16
12
12
4
4
32
0
0
0
0
0
0
0
0
16
16
1
0
32
0
8
8
0
8
8
8
8
16
16
60
6
6
4
0
8
8
8
8
16
16
8
8
8
2
1
0
8
16
16
0
8
8
8
0
8
8
8
2
2
17
0
0
8
8
20
20
8
18
16
16
16
16
0
0
16
0
8
8
1
0
0
0
8
0
16
0
0
1
1
1
1
1
1
1
0
0
8
0
0
0
0
0
0
2
2
0
8
8
8
8
8
8
8
8
8
1
0
0
4
4
4
0
0
0
0
24
0
2
10
2
2
0
24
16
16
0
0
8
8
0
0
16
16
17
4
4
4
4
4
8
8
16
0
8
16
8
0
0
16
0
8
0
8
8
8
0
8
17
17
18
16
2
0
8
8
8
8
0
0
0
16
16
0
0
0
16
15
8
8
16
0
0
0
1
0
0
0
0
0
4
4
16
16
16
16
16
34
32
8
8
8
0
24
0
1
0
0
0
0
1
10
10
10
10
0
0
0
0
16
0
2
2
2
2
0
0
24
0
8
8
0
0
0
0
0
0
0
0
0
8
8
8
0
16
0
8
8
1
1
1
0
48
48
2
1
4
4
20
0
0
0
0
24
2
2
16
8
8
8
8
8
8
0
32
32
32
0
0
0
0
4
0
8
8
16
0
0
0
32
2
2
16
8
0
0
0
0
8
0
4
4
16
8
8
8
0
0
0
16
52
41
41
4
8
8
8
8
8
0
0
0
0
0
0
0
0
8
8
8
8
8
8
0
7
0
0
0
16
0
16
8
8
0
0
0
8
0
0
0
0
16
16
4
4
4
4
0
0
4
0
0
0
8
8
0
0
8
0
0
0
1
8
8
8
8
0
4
4
0
8
0
0
8
8
16
16
0
16
16
16
8
8
8
1
4
4
6
6
0
0
16
16
33
33
33
33
16
57
16
16
16
1
1
4
8
8
4
4
1
1
1
0
0
0
2
2
2
2
2
8
0
0
0
16
16
0
48
32
0
0
0
0
0
16
0
0
0
0
0
0
0
0
4
16
16
16
0
0
24
4
16
16
16
16
16
16
1
1
1
4
8
32
32
32
8
8
8
32
0
0
0
8
8
20
20
20
0
0
0
0
8
8
8
8
8
16
0
8
24
4
24
16
24
2
2
0
3
8
4
0
4
8
0
10
0
0
0
2
16
0
0
8
2
8
0
16
0
0
8
8
32
16
4
0
0
0
1
1
8
8
0
12
8
8
0
1
0
0
0
0
0
8
8
11
2
8
8
8
0
1
1
1
0
8
34
8
0
0
0
0
4
0
8
8
8
16
0
8
8
8
2
0
0
4
4
4
0
16
16
16
16
16
8
8
8
1
0
16
16
16
16
8
16
0
0
8
0
0
8
16
8
8
8
0
0
8
8
0
24
8
16
16
16
0
0
8
8
8
8
8
0
0
0
0
8
57
0
0
0
8
2
2
2
16
16
16
16
0
8
28
28
28
28
0
16
8
0
0
0
0
0
17
1
0
0
0
0
4
16
16
16
8
0
8
8
8
8
0
8
8
0
0
16
9
0
16
16
32
8
14
8
8
0
0
0
0
8
8
0
8
16
16
16
0
12
0
0
0
0
16
18
0
0
4
2
2
16
16
8
8
32
8
0
0
0
0
0
0
0
17
17
1
1
1
1
32
0
0
24
24
4
4
4
0
16
16
1
0
14
0
0
0
0
0
1
40
8
16
16
8
8
8
8
8
8
8
20
20
20
20
20
16
0
0
0
8
8
24
24
8
8
8
8
8
1
8
0
16
16
1
1
0
0
9
1
1
8
8
1
1
0
0
0
0
0
0
2
2
0
8
8
0
0
0
4
4
0
0
0
16
2
16
16
16
16
16
16
0
0
0
0
4
4
4
4
16
0
0
0
0
0
0
16
24
0
8
8
8
8
0
8
8
8
0
0
1
12
12
2
1
8
8
8
8
8
1
8
8
8
8
4
4
16
0
0
8
32
0
0
4
4
0
17
1
0
0
8
2
2
2
2
16
16
16
4
4
0
0
0
16
1
0
2
16
8
8
8
8
8
8
1
1
24
24
8
17
16
16
1
16
8
8
1
8
8
0
0
4
0
8
16
0
0
0
0
0
0
8
8
4
4
2
24
24
24
8
8
8
8
8
8
16
6
0
0
16
52
52
16
16
0
8
8
8
0
1
1
0
0
0
0
0
0
25
2
32
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
8
30
20
0
0
16
16
16
16
0
0
24
2
0
0
0
1
1
0
0
0
0
1
8
8
0
0
0
16
16
0
8
24
8
0
0
4
0
8
0
0
16
16
16
0
0
48
4
8
8
0
0
4
4
0
0
0
0
0
0
4
4
4
0
16
16
16
8
8
4
0
22
16
0
2
6
12
2
2
2
2
1
2
16
8
16
16
0
0
8
1
1
0
0
4
4
4
4
4
4
4
4
4
16
8
8
16
16
1
1
1
8
0
0
0
0
4
4
4
0
4
4
4
4
4
4
12
16
0
8
32
32
0
0
0
0
0
0
0
0
0
0
0
0
0
8
16
0
8
4
4
0
0
0
8
2
10
16
16
16
16
32
32
8
8
16
16
0
16
1
0
28
16
0
0
2
2
16
8
8
2
0
16
16
16
8
8
8
0
8
8
8
0
0
0
0
0
24
16
16
16
8
8
8
0
2
0
4
4
4
0
12
0
4
4
4
2
16
16
0
0
8
0
16
2
8
8
4
0
2
2
8
8
8
8
41
8
24
24
8
1
1
0
8
0
0
0
0
16
8
16
2
16
0
0
0
16
16
16
0
8
8
8
0
8
0
0
0
0
0
0
2
8
16
0
20
0
0
0
8
0
0
0
0
0
0
2
2
2
20
20
16
16
16
8
26
0
16
16
24
16
16
2
24
24
0
0
0
0
0
0
8
8
8
24
8
8
16
8
8
8
16
24
1
16
16
16
8
8
0
8
8
8
8
8
8
0
0
0
8
24
8
0
8
8
8
8
8
0
0
1
0
4
4
4
4
11
11
11
8
8
9
0
16
8
0
0
0
2
4
4
4
8
8
16
16
16
16
8
2
2
2
2
1
16
0
2
8
0
0
16
4
20
0
32
24
24
0
24
0
0
0
16
13
8
8
12
8
8
8
8
0
4
4
4
0
32
16
0
8
8
0
0
0
8
8
24
24
1
0
32
32
40
8
8
0
0
0
0
16
16
8
8
16
16
1
0
0
0
0
8
16
16
8
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
0
0
8
8
35
8
4
0
0
8
0
8
0
0
0
0
0
0
2
16
16
16
12
4
8
28
52
8
8
8
8
0
0
0
0
8
24
24
24
4
0
0
8
16
0
8
8
16
16
0
24
4
0
16
16
16
0
0
0
0
8
9
0
0
8
22
4
0
8
8
8
8
8
8
8
0
16
16
16
16
16
16
16
8
8
8
8
8
2
0
0
0
8
0
56
8
8
8
8
8
8
8
32
32
32
32
32
16
16
16
0
0
0
0
16
2
0
1
0
0
0
0
0
0
0
8
8
8
16
2
2
9
2
16
16
16
16
16
16
3
3
3
0
0
2
2
8
8
8
8
0
0
16
16
1
1
0
4
49
3
0
8
32
0
0
0
0
8
8
8
8
0
8
2
16
16
16
16
16
0
2
1
1
8
8
8
8
0
0
0
0
4
0
0
2
0
0
0
0
8
8
8
8
8
4
16
10
4
8
16
0
0
0
2
34
16
16
16
0
0
0
8
12
12
8
1
0
4
0
0
8
8
8
25
1
16
16
8
0
0
0
2
24
2
0
0
4
10
10
10
8
24
8
8
8
16
4
2
16
16
0
0
0
8
8
8
8
0
4
0
0
32
32
32
0
0
0
0
8
2
16
16
16
16
16
0
8
0
0
8
8
8
0
16
16
16
16
0
4
16
1
1
0
8
4
4
16
24
0
0
8
1
1
1
2
3
24
0
0
8
8
0
0
0
0
0
36
8
1
1
8
8
2
0
1
1
8
8
0
0
0
0
4
8
8
4
16
16
0
0
0
0
8
8
4
8
8
0
0
6
0
8
0
0
0
0
16
16
16
16
8
0
0
0
0
0
0
0
24
0
2
0
0
16
24
1
0
0
0
0
1
1
0
8
8
16
4
8
17
0
16
2
2
0
0
8
0
16
2
0
0
0
0
0
0
0
8
8
16
0
8
16
16
0
0
0
6
2
16
4
25
8
8
1
1
4
0
8
8
6
0
0
0
0
4
4
4
0
0
1
4
4
4
4
56
56
56
0
32
32
2
16
16
0
0
8
8
8
0
8
0
16
16
0
0
16
16
16
8
8
8
8
8
0
0
8
0
0
16
0
4
0
0
0
8
8
0
0
16
8
0
8
8
8
24
24
8
8
8
0
0
0
2
2
2
2
8
8
8
0
16
20
33
4
8
4
9
16
1
1
0
8
8
0
0
0
8
0
0
0
0
4
16
0
0
6
6
16
8
0
32
32
1
1
30
30
2
16
20
16
16
0
8
8
3
2
4
4
4
4
4
16
8
32
32
0
0
8
8
0
8
8
8
8
0
16
16
8
0
0
8
0
1
1
0
0
28
8
8
8
2
1
1
0
8
16
16
8
8
8
8
1
1
1
8
1
8
0
8
0
0
8
0
4
0
1
16
16
0
0
0
0
8
2
2
2
2
0
16
16
0
0
16
2
10
2
16
16
0
0
8
0
8
32
8
8
8
8
8
8
32
8
0
16
8
2
16
32
8
8
8
8
8
0
8
8
0
0
0
8
8
8
8
8
8
4
0
0
0
0
0
4
16
0
0
8
8
8
8
8
8
0
0
0
8
8
24
8
8
4
4
0
0
18
0
0
8
0
0
0
0
0
0
0
16
16
4
0
0
0
0
0
0
0
0
1
1
16
8
0
0
4
0
8
16
16
0
16
16
8
8
2
48
48
48
48
16
4
4
24
0
0
0
16
2
32
8
8
48
48
48
48
16
0
0
0
0
0
1
0
0
0
0
24
0
8
8
8
8
8
0
8
16
0
0
16
8
16
8
16
8
0
0
0
8
16
20
8
0
4
8
8
8
0
24
56
0
0
0
0
34
8
8
8
8
32
32
40
40
40
16
0
0
0
0
16
33
33
16
0
0
0
8
0
8
8
8
8
16
8
8
8
0
10
10
10
10
10
10
8
16
8
0
0
0
8
8
8
1
0
24
24
24
8
8
24
24
24
24
8
16
16
0
0
16
0
8
1
1
8
0
0
0
0
0
0
0
4
0
0
0
22
1
0
0
0
0
0
0
8
0
8
0
48
2
2
1
0
0
0
0
16
16
1
1
1
16
1
1
4
4
4
0
4
4
2
8
8
8
8
24
8
8
4
0
0
8
10
8
2
10
8
8
4
16
8
1
4
4
4
1
24
0
0
8
0
0
0
0
2
2
2
8
8
8
4
4
4
8
8
8
1
8
0
0
0
8
8
8
8
8
8
8
0
0
0
0
0
8
0
8
8
0
2
8
24
8
0
8
4
8
8
4
0
4
8
8
8
0
8
0
4
4
8
16
16
16
8
8
8
0
4
4
0
0
0
0
0
1
0
0
0
0
0
1
8
8
8
8
2
0
8
8
1
0
10
10
10
10
10
8
8
0
8
0
0
0
16
22
20
2
0
0
0
8
8
0
0
0
0
16
16
8
8
8
0
0
12
12
12
16
16
8
0
0
16
16
16
0
0
0
0
0
16
32
19
0
8
0
0
1
4
8
16
24
8
12
12
8
4
4
4
0
16
16
12
16
25
32
32
8
0
0
0
16
16
0
16
0
8
16
0
0
0
8
8
1
49
0
16
16
16
8
0
16
8
40
0
0
4
16
1
8
0
8
0
4
0
8
8
16
16
6
1
1
1
1
1
0
0
0
0
2
2
36
0
0
0
0
7
1
1
1
16
8
8
8
20
20
20
0
0
0
0
0
8
0
0
0
8
8
8
24
24
24
8
8
8
8
8
8
8
0
0
0
0
4
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
8
0
0
0
0
0
0
0
0
1
1
1
20
0
0
0
32
32
32
32
32
32
32
32
0
0
0
8
0
8
0
0
0
12
0
0
0
0
0
8
0
18
0
0
3
0
1
8
16
16
16
2
2
2
2
40
8
8
0
0
0
0
0
0
16
0
16
0
0
0
16
0
0
8
8
8
16
16
0
1
16
16
16
0
8
8
8
16
16
16
8
16
0
8
2
7
0
16
16
0
0
0
0
16
16
16
8
0
16
16
4
8
1
1
1
1
0
0
0
0
12
4
8
0
0
0
0
4
4
8
4
0
16
2
8
0
0
8
8
0
0
0
0
0
4
8
12
12
8
0
18
4
4
8
8
8
8
2
0
0
0
0
16
24
16
0
8
16
8
16
0
32
4
9
1
8
16
32
8
20
20
20
4
4
2
2
8
0
0
0
16
8
8
8
16
48
2
2
2
16
0
16
2
1
0
0
0
8
8
2
1
1
0
0
0
8
8
8
9
0
8
0
8
16
16
16
18
18
2
2
2
16
0
0
2
2
0
0
0
0
8
8
8
2
2
8
8
0
0
0
8
0
0
0
0
8
8
24
8
16
16
8
16
8
8
8
23
19
1
1
1
0
0
0
16
0
8
8
1
1
1
4
4
0
0
0
0
0
16
16
1
0
20
0
0
0
16
4
4
2
2
16
0
0
8
8
8
8
16
0
16
16
0
0
0
0
8
8
8
16
16
16
16
16
16
16
16
16
8
1
1
0
0
16
16
0
0
0
8
0
0
16
16
1
8
0
0
8
8
8
8
8
0
0
0
0
0
8
8
8
8
8
10
0
0
9
0
0
16
16
16
16
16
0
8
8
2
2
2
2
2
0
0
24
24
24
24
24
4
8
8
1
8
8
2
8
0
0
22
28
16
0
0
8
16
0
0
0
18
18
0
0
8
8
8
8
32
0
0
0
20
16
16
16
16
0
0
20
8
8
0
0
0
0
0
0
16
16
16
16
0
0
16
20
16
0
1
1
2
2
2
0
0
0
26
0
8
16
16
0
8
8
8
8
16
3
1
1
1
1
0
0
0
0
0
0
0
0
48
48
8
8
16
17
16
16
16
16
16
16
16
16
16
8
1
17
1
1
0
1
1
29
2
2
2
20
16
16
16
16
16
0
0
8
0
0
8
8
8
8
8
8
0
1
24
24
24
8
20
1
4
4
4
4
8
8
8
8
16
16
16
0
0
8
8
8
8
32
0
0
16
0
0
0
0
0
0
16
16
2
2
0
0
8
24
24
24
0
8
8
16
16
16
16
8
16
0
8
32
0
4
16
32
16
8
8
0
36
40
40
40
1
32
39
0
0
16
8
8
8
8
8
8
0
4
4
4
0
0
0
0
0
0
4
16
16
16
16
16
16
16
8
8
0
0
8
1
9
9
2
2
0
0
0
8
16
16
16
16
16
0
0
0
0
8
0
4
8
8
8
40
41
32
8
0
0
0
0
0
0
1
1
0
0
0
8
8
8
0
8
8
8
8
8
0
0
8
8
0
8
8
8
8
0
0
0
2
2
2
8
8
16
16
0
8
16
0
0
32
0
16
16
16
0
0
0
0
0
1
17
1
1
8
24
24
24
0
8
8
0
9
2
1
8
0
0
1
8
16
12
8
4
0
0
16
0
4
10
2
2
0
8
0
16
4
2
2
32
24
24
24
24
5
5
0
4
4
8
8
4
16
16
0
8
0
0
16
0
16
16
8
0
48
2
0
0
54
54
54
54
0
24
24
0
16
16
8
4
8
0
4
4
4
4
0
1
32
32
32
32
0
0
8
8
8
8
2
0
0
0
0
0
0
10
10
0
0
8
16
0
16
2
2
2
2
1
1
16
2
0
0
17
24
24
8
4
0
24
0
8
8
0
4
0
2
0
0
0
0
8
8
1
1
1
1
1
1
0
0
4
24
24
24
24
16
16
16
16
16
0
25
25
25
8
8
24
8
1
16
16
4
20
8
8
16
8
8
4
2
4
2
34
32
32
0
16
0
0
28
20
4
4
4
4
0
8
8
0
16
4
0
16
16
16
0
0
0
21
21
21
8
8
0
0
0
0
0
0
0
0
0
2
2
16
8
2
1
8
0
2
2
1
1
1
0
16
16
16
0
0
4
0
16
0
0
0
18
8
2
0
0
8
0
0
0
16
16
2
2
2
16
8
0
41
41
41
0
0
8
8
0
8
2
2
8
8
8
0
0
32
32
32
8
8
8
0
4
0
4
8
0
24
24
0
8
8
0
0
32
0
32
0
0
0
9
9
10
0
8
0
4
3
3
3
0
0
0
4
4
0
0
0
16
0
0
0
8
8
0
8
0
0
56
8
0
8
8
0
1
1
1
0
0
0
12
12
8
1
1
8
8
16
16
10
8
0
0
0
0
8
16
0
8
8
0
8
0
8
0
0
0
4
16
0
0
0
0
16
8
8
1
8
8
8
8
0
1
8
8
8
16
0
0
6
6
16
0
0
0
16
0
8
0
0
8
3
0
16
16
16
0
0
0
0
20
8
8
2
2
8
8
0
0
0
0
4
4
4
4
0
0
16
8
0
8
4
4
4
4
4
8
0
0
0
16
16
16
0
0
0
4
48
0
0
0
0
0
0
1
0
22
49
8
8
0
0
16
16
16
16
13
5
8
16
16
1
20
16
24
8
16
16
16
4
0
0
0
0
0
12
16
16
16
16
1
8
8
8
1
0
8
0
0
20
8
8
22
16
0
0
16
16
8
0
8
8
8
8
16
0
8
8
16
0
4
16
16
0
20
0
0
32
32
0
0
25
8
0
0
0
0
0
0
4
8
24
8
8
8
16
16
20
16
0
0
2
0
4
12
0
16
16
16
0
0
0
0
4
0
2
4
0
8
8
8
16
16
21
4
4
8
4
16
16
16
16
0
0
0
8
8
8
0
0
26
16
16
0
8
0
8
8
8
8
0
0
8
8
8
8
16
0
4
16
2
0
16
16
32
32
24
8
2
8
16
16
12
0
0
4
0
8
0
0
16
0
0
2
2
6
16
16
16
8
16
16
16
0
12
12
0
8
8
8
8
8
8
8
8
8
32
10
0
0
0
0
8
8
8
0
0
0
0
0
2
0
8
4
4
4
50
0
0
0
0
1
1
24
10
10
0
32
8
40
40
8
4
4
9
9
0
12
16
16
8
4
8
6
8
8
8
40
16
16
16
16
16
16
16
4
0
8
16
8
8
0
8
16
16
8
4
32
8
0
0
18
0
0
0
0
8
16
16
16
2
4
4
4
4
4
4
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
4
4
4
4
4
4
1
8
16
0
0
1
0
0
0
0
8
0
0
0
16
32
1
1
1
0
0
0
4
4
0
0
0
0
0
0
8
2
0
0
0
8
8
8
8
8
8
4
8
0
4
4
4
0
0
0
0
32
32
0
20
16
0
0
8
8
8
16
16
16
4
8
8
8
8
24
0
16
16
16
4
0
0
0
0
0
0
0
0
0
0
0
0
8
16
16
8
8
8
0
8
8
41
1
1
0
8
8
17
17
8
8
8
16
16
0
16
16
0
8
4
1
0
4
4
16
16
0
8
2
2
0
0
8
8
8
8
0
2
8
8
0
8
8
0
0
16
16
24
24
8
0
1
8
8
8
8
24
50
34
5
8
0
0
0
0
0
0
0
0
0
0
24
0
0
0
0
0
9
9
9
8
1
0
0
0
0
0
0
0
16
0
0
0
16
32
8
0
0
0
0
0
0
1
8
0
8
8
1
1
0
0
0
0
8
8
8
8
8
16
8
2
2
2
8
8
16
16
10
0
0
8
0
0
0
16
16
24
8
8
16
16
48
0
0
0
16
16
8
0
16
16
16
37
4
4
4
8
0
0
1
8
8
8
32
0
0
0
0
0
16
8
8
8
8
13
48
4
4
4
4
0
8
8
17
0
16
4
60
0
0
0
4
0
0
0
0
16
32
8
0
0
8
16
0
8
0
8
16
8
8
8
32
8
8
8
8
0
0
0
8
0
0
16
32
16
16
0
16
16
16
0
0
40
0
22
2
13
0
16
16
16
0
0
8
32
4
0
0
0
0
8
0
8
0
0
4
8
4
0
32
8
5
5
5
5
5
0
8
8
16
16
8
8
17
16
32
32
32
0
0
8
8
20
12
0
0
8
0
1
8
8
8
8
8
8
8
8
12
0
1
1
4
4
16
8
8
8
10
0
0
32
32
16
16
4
2
31
4
8
40
4
8
4
0
16
16
16
0
8
16
16
3
4
4
8
16
0
40
40
6
30
0
8
0
0
0
16
10
1
0
0
0
12
16
8
8
8
8
12
12
12
12
12
58
8
8
8
8
8
20
20
20
20
20
10
8
8
0
0
19
16
16
8
0
10
8
4
20
4
4
4
16
16
8
16
0
16
0
8
0
0
1
0
8
8
1
1
1
1
16
8
34
0
32
16
16
16
0
0
0
0
0
0
40
8
8
0
0
0
0
24
24
24
0
0
16
2
16
8
8
8
2
16
20
16
16
8
8
4
4
4
16
16
0
0
34
0
18
2
4
4
4
4
0
0
2
2
2
0
16
16
1
1
1
0
0
8
8
29
8
16
18
8
8
32
11
11
0
0
0
0
0
16
8
0
40
8
0
8
0
32
8
8
16
16
8
8
8
0
0
1
24
8
16
16
16
1
0
24
24
24
24
24
16
4
24
0
1
0
0
0
0
0
0
8
8
0
0
4
4
4
4
4
4
0
0
0
0
0
8
8
8
0
0
8
8
0
0
0
0
0
0
0
4
12
16
16
4
8
56
8
12
16
0
0
8
1
16
0
0
0
16
32
4
16
16
0
0
0
8
8
0
0
0
12
12
0
0
0
0
0
20
20
20
1
2
2
24
16
16
0
0
8
1
8
0
4
0
0
16
16
8
8
8
24
8
16
16
8
8
0
0
9
8
24
0
4
0
8
8
8
8
16
0
0
0
0
4
4
0
0
0
0
32
32
32
32
8
8
18
18
18
18
12
0
0
0
0
16
16
16
28
20
8
0
1
3
0
0
25
25
9
9
8
2
16
4
4
4
4
0
8
24
0
0
0
1
8
8
0
0
0
0
0
0
1
0
8
0
8
16
0
8
11
11
0
0
0
0
8
12
0
8
8
16
0
0
1
20
40
8
8
8
0
0
0
0
32
32
32
32
9
0
24
24
2
2
0
0
16
0
16
16
8
17
8
4
4
32
2
2
2
2
2
2
8
0
2
0
0
0
0
8
0
0
0
0
0
8
16
32
32
32
4
16
16
16
28
0
1
1
1
16
0
0
0
0
0
25
25
8
8
8
8
8
8
24
0
0
0
0
8
1
1
1
0
16
16
8
16
0
0
0
0
5
5
0
0
0
32
32
1
0
0
4
0
0
1
9
8
8
8
8
1
16
2
2
2
8
16
16
8
0
0
16
16
24
0
0
12
12
0
0
0
24
1
2
2
2
2
0
0
16
16
16
2
0
0
0
8
9
0
0
0
0
0
0
16
0
32
8
8
32
0
0
0
4
2
2
0
16
16
0
0
16
4
4
4
0
0
0
0
2
8
8
8
0
8
0
32
32
32
32
32
32
32
32
2
2
0
16
4
0
0
0
0
16
0
0
16
4
8
8
8
16
8
48
48
8
8
8
8
16
28
28
28
28
0
8
32
40
40
40
8
0
32
2
2
24
24
24
8
8
0
8
8
0
1
0
0
0
0
1
1
8
8
8
8
8
4
16
16
8
32
4
4
4
0
8
0
1
1
8
4
0
32
32
2
0
8
2
60
9
2
2
2
8
8
8
8
8
8
48
17
17
0
0
0
0
0
24
0
0
16
16
16
16
8
8
0
0
0
0
16
16
24
24
0
0
0
16
0
8
8
8
5
5
0
0
40
0
8
0
0
0
8
8
8
2
0
0
0
0
0
0
24
24
0
0
0
0
0
0
16
16
16
16
16
16
0
33
0
0
8
8
8
8
8
8
4
4
4
8
9
8
8
0
16
16
16
0
8
8
0
0
8
8
2
16
0
4
8
8
8
8
32
32
48
59
8
16
2
8
8
8
0
0
0
0
8
8
8
8
8
8
0
8
18
18
16
22
4
8
8
16
16
16
16
16
16
0
0
6
6
0
0
2
2
2
2
2
0
8
32
8
16
16
16
0
8
0
0
4
0
0
0
0
8
16
16
8
0
0
0
16
9
9
9
8
2
0
0
0
0
8
0
2
2
0
0
4
8
8
8
8
8
8
8
0
0
16
16
16
16
16
16
4
4
4
4
8
16
16
0
16
4
8
8
8
8
8
1
16
25
25
0
0
0
0
0
0
0
0
0
8
8
8
0
40
1
0
0
8
0
0
0
0
0
0
0
8
0
16
8
8
8
2
2
2
2
2
2
8
0
32
16
16
16
16
16
2
2
0
0
0
0
0
0
0
16
0
8
16
8
8
0
5
5
0
0
32
16
0
0
16
0
0
16
16
1
1
1
2
2
2
2
2
0
0
0
4
8
8
1
16
8
0
0
32
32
0
0
1
1
0
4
4
8
0
2
0
8
8
6
0
0
0
4
8
0
16
0
2
0
16
16
16
4
0
0
16
16
16
16
16
0
0
0
8
8
4
16
16
0
36
36
4
4
4
20
0
4
0
8
8
0
0
0
0
16
16
4
16
24
8
16
0
0
20
20
0
16
24
0
8
4
4
4
4
0
16
16
8
8
12
8
8
8
11
11
11
0
8
8
0
0
5
0
0
8
8
8
0
0
0
1
1
0
2
2
24
8
1
2
1
16
24
8
4
19
2
1
8
8
16
8
8
8
0
0
8
8
8
6
6
6
0
8
0
0
0
17
17
0
0
8
8
0
4
4
4
8
16
16
16
0
16
16
16
9
0
0
0
8
4
8
0
0
0
1
16
16
16
9
32
8
8
1
0
0
0
16
4
4
0
16
16
16
8
8
1
6
8
1
1
1
1
8
0
8
9
9
0
5
5
5
5
6
21
21
1
8
0
8
8
0
0
0
32
0
0
1
0
1
1
1
0
0
6
1
1
1
1
0
0
0
1
8
8
8
8
8
8
8
8
8
8
8
4
4
8
8
8
8
0
0
8
0
0
16
8
16
0
0
0
8
0
0
8
8
8
0
4
8
16
8
8
8
16
16
16
16
16
24
2
32
16
8
0
0
0
0
4
4
8
0
0
0
16
0
0
0
8
16
4
1
16
0
8
8
0
0
1
4
24
16
16
16
33
33
33
33
33
33
33
33
1
2
2
4
4
0
16
0
0
0
0
8
0
0
0
0
2
0
0
56
8
32
16
29
6
8
0
0
0
0
1
8
0
0
0
0
0
0
0
0
2
0
8
0
8
0
16
0
16
8
8
0
8
4
32
32
8
8
8
0
21
24
16
16
9
48
2
0
4
4
8
8
8
8
8
16
8
16
16
2
16
8
0
0
1
8
0
0
0
0
0
8
8
17
0
0
0
0
0
0
0
8
8
8
8
16
2
8
8
4
4
22
22
22
32
0
8
8
8
0
16
24
0
0
8
24
12
0
8
8
0
0
16
8
8
0
48
48
48
8
8
20
8
0
0
8
2
2
2
2
4
4
4
16
8
0
1
1
1
8
0
0
0
8
8
0
0
0
0
0
0
0
8
8
8
8
16
16
16
32
0
0
8
0
0
2
28
0
0
17
17
0
0
0
21
21
8
16
16
16
56
8
8
1
0
16
4
8
0
8
8
0
0
0
8
0
0
0
16
6
0
0
0
0
0
1
3
8
8
8
0
32
0
0
0
0
0
0
0
0
0
8
8
8
2
0
0
16
16
16
16
16
16
0
16
0
0
0
16
8
8
4
2
16
1
0
0
0
16
17
20
8
8
0
16
4
4
4
0
0
0
0
0
4
4
4
0
8
16
8
29
29
29
29
18
2
0
4
20
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
8
8
4
4
8
8
8
16
8
8
0
8
8
8
0
0
16
8
8
0
0
8
8
8
8
8
8
8
8
8
24
8
0
16
57
0
16
16
16
0
0
0
0
0
8
8
0
0
0
0
0
0
0
8
8
0
0
8
8
24
4
1
0
0
16
16
16
16
8
0
0
8
8
8
0
0
16
8
8
8
8
8
8
8
0
0
16
16
8
8
16
16
16
0
0
0
16
16
16
0
8
0
2
16
0
0
0
4
4
3
8
8
16
0
0
0
32
32
8
0
0
4
1
4
2
0
0
8
24
16
0
0
4
0
16
8
6
6
8
16
0
1
1
1
1
1
8
0
24
0
8
0
0
16
16
8
8
6
0
0
0
8
16
16
16
16
16
0
0
0
33
0
0
0
16
2
2
8
16
0
4
8
8
8
8
16
16
2
8
8
8
8
8
8
4
0
16
16
0
0
0
16
9
32
33
6
8
8
4
12
32
4
0
8
16
0
16
16
8
4
2
0
16
0
0
0
1
0
1
1
1
8
8
0
16
4
16
16
16
0
0
0
16
6
0
0
0
0
0
8
0
0
0
0
0
0
0
0
27
9
9
2
2
2
16
0
4
8
8
16
8
4
16
16
16
16
16
0
16
16
25
0
8
16
16
8
0
0
0
0
0
0
26
26
26
0
0
0
2
0
16
0
0
0
0
0
2
24
8
24
1
8
8
16
8
0
0
16
16
16
8
16
2
0
0
0
0
2
2
16
2
0
0
8
8
0
8
9
16
8
8
0
8
32
2
0
0
0
0
0
0
0
16
16
16
1
16
0
8
8
8
8
8
8
2
16
0
0
0
8
1
0
4
8
8
8
8
16
16
16
8
4
8
8
4
4
0
9
26
10
10
10
0
0
0
1
1
8
8
8
1
16
8
2
2
2
16
16
4
0
0
0
0
0
0
0
49
0
0
8
8
20
8
8
8
8
16
8
12
4
0
8
8
8
0
0
0
8
8
8
8
0
16
16
4
4
0
17
0
8
8
8
8
8
28
0
8
8
1
0
8
16
16
16
16
0
0
4
8
0
0
4
4
8
0
0
8
8
8
0
4
0
0
0
0
16
0
8
2
2
8
0
0
0
0
4
4
0
16
16
16
16
8
16
8
0
8
8
10
0
0
16
0
4
4
8
8
0
16
16
16
2
2
8
0
8
8
16
0
8
5
5
0
16
16
16
8
1
1
1
8
0
8
16
16
16
0
0
0
8
16
4
4
4
16
16
16
8
16
16
16
8
0
0
0
0
1
0
28
28
0
8
8
0
0
0
0
0
0
0
0
2
8
8
16
0
34
34
34
0
8
20
2
2
8
8
0
0
0
0
0
0
0
0
0
8
32
16
16
8
8
8
8
8
8
4
0
0
0
0
0
0
1
0
16
1
16
16
3
1
24
8
8
2
2
0
16
0
0
16
0
0
0
9
18
0
8
16
16
1
0
8
16
8
8
0
2
2
0
0
8
8
8
2
0
0
0
36
8
8
0
0
32
8
40
40
0
24
41
41
0
0
0
8
8
16
16
16
0
0
1
1
0
0
0
0
40
40
40
2
16
16
28
8
0
16
24
0
0
0
0
0
16
8
8
8
0
24
24
0
16
16
16
16
16
0
0
0
0
8
16
0
0
16
16
16
10
10
18
18
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
8
1
4
8
16
4
19
19
19
19
19
19
0
16
0
0
0
24
24
8
8
32
16
4
4
4
8
1
0
0
0
48
8
4
4
4
32
32
32
32
1
1
1
1
8
8
0
0
0
0
4
4
4
4
0
8
8
0
8
8
8
48
48
4
4
8
0
0
0
60
60
60
60
60
16
16
0
8
8
8
0
0
0
0
9
2
8
16
16
16
0
0
0
16
1
8
0
8
24
32
32
32
32
0
0
2
2
2
2
2
2
16
16
8
8
0
16
16
0
8
4
0
2
0
8
16
16
0
18
18
40
0
8
8
8
8
8
9
9
0
0
2
2
8
0
2
9
9
0
0
8
8
4
0
0
0
0
0
0
0
0
8
16
16
1
16
16
8
8
8
16
16
8
8
2
16
4
4
0
0
8
8
1
8
0
0
0
16
16
16
1
1
1
24
0
0
8
8
8
8
8
8
8
8
8
0
0
8
8
0
0
0
8
0
8
0
8
0
10
10
8
8
8
16
8
1
1
1
1
1
1
1
1
0
16
6
8
0
0
8
12
0
2
2
0
0
0
0
0
0
2
16
16
2
2
2
0
0
8
0
0
0
8
2
0
0
0
0
0
16
16
4
8
8
0
0
8
2
2
2
2
0
0
0
16
8
8
8
8
2
4
0
0
0
0
8
8
0
0
0
0
0
0
8
8
0
0
0
1
1
0
32
32
0
8
0
2
8
8
16
16
16
4
0
0
0
0
16
16
8
8
32
32
32
32
0
0
0
0
0
8
16
16
16
16
16
0
0
0
0
2
8
8
0
40
40
1
1
6
16
16
16
0
16
16
4
16
8
8
0
0
8
8
0
0
0
0
16
0
16
16
0
10
10
0
16
16
16
32
2
16
8
8
8
8
8
16
16
2
0
0
8
8
8
8
16
16
1
8
32
8
0
8
8
8
8
0
1
0
0
0
16
24
16
4
32
32
0
0
8
4
8
8
16
8
8
0
0
16
0
8
8
8
8
0
8
8
8
0
8
8
16
0
0
0
0
24
0
0
0
0
8
4
4
8
8
22
1
16
8
10
10
4
4
4
0
14
0
0
8
16
0
0
16
0
0
48
0
8
0
4
4
0
0
0
8
8
16
2
16
16
1
8
8
8
8
16
16
16
16
0
0
8
1
1
16
16
62
8
8
8
0
0
8
8
4
16
16
16
0
8
0
5
8
0
16
4
16
0
8
0
0
8
8
8
8
8
24
24
24
24
8
16
16
0
8
0
8
8
0
0
0
0
0
0
8
0
4
4
0
24
0
16
0
0
0
4
16
16
4
16
0
0
0
0
8
0
0
0
17
16
4
34
16
16
4
4
4
8
16
16
1
0
0
3
3
0
0
12
12
8
0
0
0
0
18
32
20
16
16
0
0
0
32
0
32
32
32
32
1
1
1
0
2
2
2
2
0
0
0
0
0
0
16
16
16
1
1
32
0
0
0
0
2
8
16
16
16
16
8
0
0
8
0
16
16
2
1
1
1
1
1
8
8
8
16
0
0
8
0
0
8
8
0
0
2
4
32
1
8
8
16
16
16
16
16
16
16
0
2
34
34
4
4
4
0
0
0
0
52
4
4
0
0
2
2
2
0
0
8
8
0
4
4
8
8
8
8
20
4
4
8
8
0
1
1
0
40
1
9
0
0
16
16
16
16
0
16
16
16
16
16
16
4
10
8
4
1
1
0
0
32
0
8
0
0
0
0
16
16
16
8
3
3
3
3
8
24
4
0
16
16
16
16
1
0
0
16
16
0
0
0
4
0
0
0
0
8
0
0
0
16
0
0
32
16
16
0
8
4
4
0
8
8
4
8
0
8
8
0
0
4
0
0
1
1
1
4
4
4
4
4
4
4
8
8
0
36
4
4
16
2
0
16
32
32
0
8
0
24
16
16
0
0
0
0
33
2
8
1
1
16
16
2
8
0
8
8
8
4
4
4
4
0
24
24
8
0
0
16
16
0
8
8
8
8
8
0
1
0
0
8
0
0
0
8
2
8
0
0
16
0
8
8
8
0
0
0
0
20
4
4
0
62
62
62
16
4
0
0
0
0
0
0
4
0
5
0
8
12
6
5
5
1
1
1
0
0
22
22
16
13
13
13
0
0
0
0
0
0
0
0
0
2
8
16
16
16
16
16
16
16
0
0
50
50
16
1
16
16
0
8
8
8
8
1
20
0
4
0
0
16
12
17
16
9
8
0
0
4
0
0
8
0
0
2
16
16
16
16
0
0
16
16
0
0
2
0
0
8
24
0
0
8
8
0
0
1
0
0
8
8
8
8
11
0
0
0
0
0
24
24
1
0
0
0
16
0
16
16
0
0
0
0
8
8
1
1
0
15
15
15
0
0
8
8
8
0
0
0
0
0
0
0
16
16
16
24
8
9
16
16
8
8
8
8
0
0
0
0
0
0
0
0
16
0
16
16
0
0
0
16
4
8
1
1
1
0
9
9
2
8
8
0
0
8
16
4
16
16
28
28
28
0
0
4
0
8
8
8
8
16
1
0
16
3
3
1
16
16
16
8
8
8
8
8
0
0
28
1
1
1
24
8
8
8
8
0
0
0
0
0
0
0
0
16
0
32
0
4
4
8
0
8
0
0
8
10
0
0
0
0
0
8
8
2
10
16
16
4
8
8
0
0
8
0
33
2
28
0
0
0
0
0
0
0
0
1
8
8
8
0
0
0
0
8
0
0
0
0
0
0
0
8
0
1
16
1
1
1
0
0
0
0
0
2
0
0
0
0
0
0
0
0
16
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
32
8
8
12
12
12
16
16
0
0
0
16
16
24
24
8
12
4
0
8
8
0
0
0
16
16
16
16
16
24
24
24
16
9
8
0
8
40
32
8
2
16
4
4
4
4
8
0
8
0
8
8
16
28
2
8
0
0
8
8
2
2
2
16
0
1
1
8
8
8
0
16
16
16
16
0
0
0
0
0
16
0
16
2
2
1
1
16
16
16
16
16
32
2
2
16
16
16
16
16
16
2
16
16
8
16
4
8
0
4
0
0
16
16
25
25
25
46
46
46
4
0
0
0
0
0
16
16
16
8
16
16
16
16
16
16
24
0
0
0
16
16
16
16
4
4
16
16
17
0
16
16
8
8
16
16
16
4
1
1
1
16
16
0
2
0
8
8
0
16
16
16
0
1
1
1
1
1
1
2
10
4
4
4
8
8
8
8
8
4
4
1
1
1
16
16
21
16
8
4
56
0
16
28
8
16
16
16
16
41
57
4
0
8
24
0
8
8
16
0
0
0
0
0
16
16
16
3
2
25
12
0
8
17
17
8
16
16
4
4
48
8
8
8
16
16
16
16
0
0
0
0
0
17
17
0
0
0
0
0
0
0
24
24
0
0
4
4
0
16
16
0
8
8
0
0
8
8
8
0
0
0
0
4
5
4
4
1
1
16
0
2
0
1
1
1
1
16
4
4
0
0
16
16
0
0
0
1
1
1
8
8
8
40
0
0
8
4
4
4
0
0
0
16
16
0
8
8
8
0
16
8
16
24
0
0
0
0
16
16
16
2
2
16
16
2
2
2
8
8
16
0
16
16
16
20
20
20
20
20
20
16
4
4
4
4
4
16
8
8
0
0
16
16
8
8
0
22
0
0
0
8
4
16
16
16
16
16
0
0
0
0
0
0
16
8
0
9
9
1
0
16
24
8
8
0
0
16
16
16
0
0
0
0
20
8
8
8
8
8
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
24
8
0
2
16
16
0
0
0
0
0
8
4
0
0
0
0
12
16
0
0
0
8
8
16
2
0
0
2
1
8
1
1
1
0
8
1
0
0
1
16
8
0
16
8
8
8
8
24
16
16
16
16
16
16
2
8
1
1
1
1
16
16
0
0
0
0
0
0
0
0
0
0
0
40
40
40
8
8
8
4
12
12
0
1
0
0
34
0
8
0
37
37
37
8
8
8
1
1
16
8
8
8
8
16
8
16
16
20
20
20
20
20
20
20
20
0
32
0
0
24
0
0
0
0
8
12
4
8
8
18
16
32
32
32
0
0
0
0
16
16
8
8
8
8
32
32
0
0
0
16
0
0
0
16
16
16
0
2
2
0
4
16
16
1
49
0
0
32
16
16
16
16
0
0
0
0
0
1
20
8
32
1
1
1
32
24
8
8
8
8
8
4
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
8
8
8
8
8
0
0
0
0
0
16
16
16
16
16
0
0
8
8
8
4
4
4
8
0
2
2
2
0
0
32
0
0
4
4
8
0
0
0
21
0
4
0
0
8
8
0
0
16
16
16
16
16
16
16
16
16
0
0
0
16
16
4
8
0
0
0
16
16
0
20
8
8
8
8
2
2
33
33
33
0
8
16
8
0
16
0
0
4
0
0
8
8
8
8
0
0
8
0
0
4
8
20
0
0
1
0
0
16
8
0
16
8
0
18
18
18
0
0
32
32
0
8
8
8
0
24
8
8
0
0
2
2
2
0
0
8
0
0
0
0
0
0
0
8
1
20
0
0
0
2
2
2
8
32
20
0
0
0
0
0
0
1
16
16
16
16
16
0
0
0
0
0
2
2
2
0
8
1
17
8
4
4
4
16
16
16
0
0
4
4
0
2
2
16
16
16
16
9
16
12
20
8
8
8
0
0
0
16
16
0
20
8
8
8
16
16
4
32
32
16
8
0
20
20
16
8
8
18
0
0
8
0
2
0
8
8
8
16
0
1
1
16
16
8
8
16
16
16
16
16
16
8
16
16
16
0
0
0
0
0
17
16
1
1
16
16
0
8
8
8
8
8
8
8
8
4
4
4
0
0
0
1
1
10
10
10
10
4
0
32
1
0
0
0
0
0
0
0
0
0
2
16
8
8
8
0
0
0
8
8
1
8
0
0
1
2
8
0
0
8
0
0
0
0
8
0
0
0
0
0
0
0
0
0
16
0
0
8
0
0
0
0
0
8
8
0
0
0
0
0
0
8
24
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
0
0
0
0
2
3
3
0
25
4
4
4
0
0
0
0
0
0
16
8
0
0
0
0
0
0
2
2
2
2
0
0
0
32
8
8
8
1
1
1
1
1
0
16
0
0
0
4
1
8
8
8
8
16
0
0
0
0
0
0
8
8
0
0
10
0
0
8
8
0
8
8
8
16
16
16
16
0
16
8
0
0
0
0
0
1
16
16
16
0
0
0
0
0
0
0
8
0
8
8
2
2
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
16
0
0
0
0
20
0
0
16
16
8
0
1
1
24
24
24
24
16
16
16
16
16
16
0
0
4
0
0
16
16
8
8
8
8
0
8
8
8
0
0
24
1
8
8
8
8
8
0
0
0
0
32
0
0
4
0
0
16
0
0
0
24
0
8
8
0
2
0
0
0
0
0
8
8
4
0
16
0
0
0
0
0
16
4
0
1
0
0
16
0
0
0
0
1
16
0
0
0
0
0
0
4
0
0
0
0
8
8
32
8
16
16
8
4
0
0
0
0
6
0
0
8
8
0
0
16
16
0
0
0
0
0
0
0
4
16
0
0
8
0
0
0
0
8
0
0
0
16
16
16
16
0
0
1
0
4
0
0
0
0
16
0
0
0
0
0
0
16
4
0
8
8
8
24
8
8
0
16
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
4
4
16
0
0
0
0
0
0
0
0
0
0
0
0
8
0
32
0
0
0
0
52
0
0
0
0
0
0
0
0
0
0
0
0
2
0
8
8
0
0
0
0
0
8
0
9
0
0
0
0
0
0
0
0
0
0
0
0
20
0
0
8
0
0
0
0
0
0
0
2
16
4
0
0
0
0
8
8
8
8
8
0
0
0
4
0
0
0
0
40
0
8
8
0
4
24
24
0
0
0
0
0
0
0
0
0
2
2
4
0
0
0
0
0
0
8
0
0
0
8
0
0
0
8
8
0
0
0
0
0
0
16
0
0
0
0
2
0
4
4
0
24
16
0
0
0
8
8
0
0
0
16
0
0
8
16
0
0
0
0
0
0
8
8
0
0
8
8
4
4
0
2
0
17
0
0
0
0
16
0
0
0
17
0
0
0
4
0
0
0
24
0
0
0
0
0
2
8
8
2
2
0
8
0
17
0
0
0
0
0
8
0
0
0
0
0
16
0
0
0
0
0
16
16
1
8
8
1
1
0
2
0
0
0
2
32
0
0
1
0
0
8
0
0
0
0
0
2
0
0
1
8
8
0
0
2
16
16
16
16
8
8
16
0
0
4
4
4
3
16
0
0
8
8
16
0
0
0
0
0
8
4
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
2
0
0
0
8
0
32
8
8
20
5
5
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
8
4
4
0
9
0
8
0
0
8
0
0
0
16
0
8
0
0
0
9
0
2
0
0
0
0
0
1
0
2
16
16
0
0
16
16
20
0
0
0
0
2
16
24
0
0
0
32
0
0
0
0
0
8
8
1
1
1
1
1
1
1
1
1
1
1
1
0
8
16
0
0
4
16
0
8
8
48
8
0
8
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
1
2
2
0
0
0
0
0
0
0
0
24
24
0
0
0
0
0
8
0
0
0
0
0
8
0
1
0
0
0
0
0
4
4
4
4
1
1
1
1
1
24
0
2
0
16
4
0
0
8
8
8
37
0
0
0
8
0
0
2
2
0
6
0
0
0
1
16
0
0
0
0
0
0
0
0
0
0
8
8
0
0
4
0
0
1
4
4
1
1
8
8
8
8
0
8
0
32
0
16
16
0
8
0
0
0
2
0
2
2
2
4
0
0
0
0
0
1
0
0
0
16
4
0
0
8
8
8
8
8
0
16
0
4
8
8
8
8
8
20
20
16
0
0
0
0
0
0
0
8
24
0
16
0
0
0
8
8
0
0
0
0
0
0
16
16
1
4
0
0
32
12
8
8
6
0
0
0
0
0
0
0
0
8
0
0
8
8
16
4
4
0
8
8
0
0
4
4
0
8
0
0
0
19
8
0
0
0
4
0
8
17
16
16
4
0
0
0
0
0
8
8
8
8
24
24
24
24
0
8
8
0
0
0
0
0
0
0
0
0
0
16
4
16
24
16
8
8
8
8
2
2
0
0
0
0
20
0
0
2
0
0
0
8
4
8
0
0
4
0
0
24
0
0
0
24
0
0
0
0
0
0
40
40
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
4
2
2
0
8
0
16
16
16
16
16
16
16
16
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
8
8
0
0
0
0
0
20
20
20
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
17
17
0
32
0
16
0
4
0
0
22
20
20
20
26
0
16
8
8
0
16
0
0
0
0
0
8
0
8
0
0
0
0
0
0
0
8
0
0
0
2
0
0
0
0
0
0
0
8
8
8
8
0
0
4
8
8
8
8
8
0
0
0
0
2
5
5
8
8
0
0
8
0
7
7
0
0
0
0
4
0
0
8
8
0
0
1
2
0
0
8
16
8
0
0
0
0
0
0
0
0
16
0
8
0
8
0
0
0
0
0
24
24
8
0
0
0
0
0
8
0
0
0
0
0
0
0
8
8
0
0
0
0
8
16
16
16
0
0
0
0
0
20
20
20
1
4
0
0
0
8
0
0
0
0
1
0
0
0
0
8
8
0
0
17
0
0
0
16
16
0
0
0
0
0
0
20
0
0
0
0
9
0
0
0
0
0
0
0
0
0
0
0
0
9
9
24
0
8
16
0
8
0
0
0
0
0
0
0
24
16
7
0
0
0
0
0
16
16
0
16
0
0
16
0
0
0
0
0
0
2
2
16
14
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
0
0
0
16
16
16
0
0
0
16
4
8
12
4
0
8
0
0
16
16
8
8
8
16
16
0
0
0
0
0
0
16
0
0
0
16
16
2
0
0
0
12
0
0
2
0
0
0
52
0
0
0
24
16
16
0
0
0
0
8
0
0
4
0
0
17
17
0
0
0
0
0
8
8
0
4
8
24
8
8
0
0
0
0
0
16
4
0
16
28
28
28
28
4
8
24
18
8
8
2
2
0
12
8
8
8
0
60
0
16
0
4
0
0
8
2
1
8
8
0
0
0
0
0
33
0
0
2
2
16
0
16
0
16
0
0
49
16
4
8
8
0
0
0
0
0
0
0
8
8
8
8
16
16
16
0
0
0
4
0
9
8
0
8
8
8
8
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
18
18
18
0
0
0
19
0
0
0
0
0
0
0
0
0
0
0
3
3
0
8
0
0
0
0
0
0
0
0
8
4
4
1
0
8
16
46
24
0
4
16
0
0
0
0
0
0
0
8
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
8
8
29
29
29
0
0
16
0
0
0
0
0
0
0
0
0
4
1
0
0
16
0
0
11
11
8
16
0
16
0
0
4
1
0
0
0
0
0
0
0
0
2
0
0
29
29
29
29
0
8
1
0
0
0
0
0
0
32
48
0
2
16
16
32
0
0
0
22
22
22
0
0
16
0
0
8
0
1
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
8
8
0
0
0
3
0
0
0
0
8
0
0
0
24
24
24
0
1
0
0
0
8
1
12
12
0
0
0
32
1
2
2
6
10
0
4
2
0
0
0
8
0
8
0
0
16
1
0
0
24
8
0
16
1
8
2
0
0
0
0
8
8
8
29
8
8
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
4
4
1
0
0
0
0
8
24
0
0
8
8
8
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
8
0
0
1
9
0
24
16
0
0
0
0
16
16
8
8
2
2
0
0
0
0
8
0
0
1
0
0
0
0
0
24
2
0
0
4
16
16
0
0
8
2
26
4
4
16
0
0
0
8
0
0
0
8
0
0
0
0
0
0
0
0
0
0
21
16
16
0
0
9
0
0
0
0
16
0
0
0
0
8
2
0
8
0
0
0
4
16
0
8
24
24
4
0
0
8
0
0
0
48
0
8
8
8
8
0
0
16
16
16
0
0
0
0
0
0
2
0
0
0
0
25
25
8
0
0
8
0
0
0
0
8
0
0
23
0
0
8
0
0
0
0
16
10
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
8
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
2
2
0
0
0
2
0
0
0
12
0
32
1
8
0
0
0
2
0
24
24
0
24
16
8
8
8
8
0
8
8
0
0
0
8
0
0
0
0
16
24
0
0
0
0
0
0
8
0
16
0
0
18
0
1
1
0
0
0
8
8
18
0
1
9
0
24
0
0
0
16
4
4
4
20
20
20
63
8
0
8
0
0
0
2
0
8
0
8
8
0
3
3
0
0
28
16
0
0
0
0
16
0
0
16
0
0
0
8
24
17
0
0
0
0
0
0
1
1
1
1
24
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
1
0
4
0
0
0
0
2
6
6
0
0
0
0
8
8
4
0
0
0
0
0
0
0
0
0
24
16
4
0
0
8
4
0
22
18
18
0
0
0
0
22
16
16
0
0
0
0
0
0
0
0
12
16
2
2
4
4
0
16
0
0
0
0
0
22
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
4
0
0
0
0
0
4
0
0
0
4
0
0
0
25
0
4
1
16
16
0
2
2
2
0
0
0
8
8
8
8
16
0
0
0
0
0
0
0
32
32
28
8
0
4
8
16
8
8
0
0
0
16
12
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
12
1
0
0
0
0
0
32
16
16
0
8
0
8
4
16
8
0
0
0
20
20
0
0
16
32
0
0
0
0
20
0
0
0
0
0
16
8
0
4
8
8
8
16
16
0
0
0
24
0
0
0
0
2
0
0
2
8
0
8
0
0
0
0
8
8
0
16
2
0
0
8
8
8
0
8
16
0
0
2
0
0
0
0
0
4
0
2
0
0
0
4
8
8
4
4
4
4
4
4
4
0
1
0
0
0
1
1
0
32
8
0
18
0
0
16
16
16
16
16
16
0
16
16
0
0
0
0
0
0
0
0
16
1
0
4
4
0
8
0
0
32
0
0
0
8
0
8
8
8
8
34
0
16
20
8
0
0
0
0
0
0
0
0
8
0
0
0
0
24
24
24
24
24
24
0
0
0
0
0
0
0
0
0
24
0
0
0
0
0
16
0
0
16
0
0
16
0
8
8
8
24
0
0
0
0
0
8
0
0
8
0
0
8
8
8
8
1
0
0
24
24
2
2
4
4
4
0
0
16
16
16
16
2
2
2
8
0
8
8
0
0
0
0
16
16
16
16
16
1
16
16
0
16
16
0
0
8
16
0
0
16
4
0
0
0
16
0
2
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
6
6
6
0
0
8
8
0
0
0
0
0
16
0
0
32
32
32
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
14
14
27
8
8
0
0
0
0
0
0
0
0
8
0
8
0
16
16
0
24
0
30
30
4
24
8
4
16
0
0
8
0
16
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
11
0
8
0
8
0
0
0
0
0
8
8
0
0
1
1
1
1
1
1
1
1
1
1
1
8
8
0
0
4
4
0
0
16
0
0
0
0
8
16
16
0
0
0
0
4
0
0
0
0
0
0
0
16
0
0
16
28
0
16
0
0
0
17
16
0
8
0
2
2
0
0
0
16
0
0
32
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
2
12
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
32
32
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
32
32
32
0
0
0
0
6
0
0
0
1
0
4
0
8
8
0
18
18
18
0
0
0
0
0
0
0
22
2
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
40
0
4
8
8
8
0
9
0
0
0
9
9
16
16
16
16
16
0
0
5
5
24
24
8
8
8
8
0
0
8
0
0
0
4
16
16
0
8
0
0
8
8
0
0
0
0
0
0
0
8
0
0
0
8
0
0
0
0
0
0
16
8
8
0
0
16
0
0
16
3
4
0
24
8
0
0
4
0
16
16
4
4
0
24
12
0
0
1
0
0
0
2
0
0
8
8
8
0
0
0
0
12
0
0
17
0
0
0
0
0
0
0
0
8
16
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
48
0
0
0
0
0
0
2
2
0
0
0
0
4
0
0
8
0
0
0
0
0
0
16
25
25
25
0
0
0
0
16
0
16
8
0
0
0
16
8
8
8
8
8
0
0
0
0
0
0
2
24
0
0
8
8
0
4
0
0
0
0
0
8
16
16
0
0
0
0
0
0
0
0
0
16
0
0
0
1
1
18
18
0
0
0
0
0
0
0
0
0
0
16
0
0
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
60
60
0
2
0
8
2
16
0
0
0
4
0
0
0
0
16
0
0
0
16
0
24
0
0
4
0
16
16
0
0
0
8
0
0
0
0
8
8
8
8
0
0
8
19
1
0
0
0
0
0
0
0
32
32
32
0
16
8
4
0
0
0
0
0
8
2
0
0
1
1
0
0
0
0
0
0
0
12
12
8
8
8
0
16
0
0
0
0
0
16
0
8
0
8
24
8
0
16
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
8
8
9
0
0
0
0
0
0
0
4
8
8
0
0
0
0
1
1
17
8
8
0
0
0
0
0
0
8
0
0
8
8
8
8
0
0
0
0
0
16
0
0
4
0
0
0
0
0
2
32
0
2
2
21
4
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
8
8
0
16
0
0
0
0
0
20
20
0
8
16
0
0
0
0
4
8
0
0
4
0
0
16
16
16
0
0
8
0
8
8
0
0
0
0
0
16
16
16
0
0
0
0
0
0
0
20
0
16
2
0
0
0
0
0
16
16
0
0
8
8
0
0
0
4
4
0
0
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
0
0
0
16
0
8
8
16
0
0
1
0
0
0
0
0
0
0
0
0
0
0
16
0
1
0
0
0
0
0
16
18
0
0
10
0
0
0
0
0
0
0
16
1
2
2
0
0
0
8
0
0
0
0
0
2
2
0
0
8
0
4
0
0
8
0
0
8
0
0
4
0
0
0
0
0
8
0
0
6
4
0
0
0
0
0
0
0
0
0
16
0
4
0
0
0
8
0
1
0
2
2
2
2
8
8
0
16
0
0
0
0
0
0
0
0
58
0
0
0
0
2
2
0
0
0
0
8
8
0
0
0
0
0
0
0
4
8
8
0
0
0
8
0
0
0
0
0
0
2
2
0
4
12
8
8
1
0
0
8
13
8
8
0
0
0
0
16
16
10
16
16
16
16
16
0
0
0
0
0
16
0
0
0
0
0
0
8
16
12
16
0
8
0
0
0
0
16
0
0
0
0
0
0
0
16
24
0
1
0
0
4
4
0
0
0
0
8
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
8
0
14
0
0
0
0
0
40
0
0
0
0
16
16
16
16
0
24
0
0
0
16
16
0
0
0
0
0
13
0
0
2
2
0
0
16
16
0
0
0
0
0
4
4
4
0
0
4
0
0
0
1
1
0
0
0
0
0
0
0
0
32
0
0
0
0
0
0
0
24
16
0
0
0
0
0
0
0
16
16
16
16
0
0
0
0
1
0
2
2
16
16
0
16
22
22
8
0
0
0
0
8
8
0
0
0
0
0
0
16
0
0
0
0
8
0
0
0
0
0
16
8
0
0
0
0
0
0
0
0
16
2
0
0
0
0
0
8
24
8
8
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
29
0
0
16
0
0
0
0
0
0
0
0
0
0
4
8
0
0
0
0
12
0
0
0
0
0
0
0
0
0
2
16
0
0
0
0
0
0
8
8
8
0
0
0
8
8
4
8
8
0
0
0
4
8
8
3
3
8
16
0
0
0
0
0
0
0
0
2
2
0
8
0
0
0
0
0
0
8
8
8
16
24
24
0
16
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
18
18
16
0
0
24
24
0
0
0
0
0
0
8
8
0
0
0
4
4
0
0
0
0
0
0
0
0
0
16
16
16
0
0
0
4
4
4
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
21
4
5
16
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
4
4
2
2
4
4
0
0
0
8
0
16
16
0
0
9
9
0
8
0
8
0
0
0
8
0
16
18
18
0
0
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
2
2
16
8
0
8
0
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
32
32
10
49
0
0
0
0
0
0
12
2
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
4
0
0
49
0
0
0
0
0
0
0
0
0
8
8
0
0
0
8
0
0
0
0
0
4
4
0
0
0
4
4
4
0
0
8
0
0
0
16
16
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
16
16
16
0
0
0
2
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
24
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
16
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
16
17
0
0
0
0
0
0
0
0
4
0
10
8
2
8
8
8
0
0
16
0
16
16
0
16
9
0
0
0
0
0
0
6
6
6
0
0
0
0
0
0
0
0
0
0
0
8
0
4
0
8
0
0
0
0
0
0
0
34
0
0
0
0
0
8
16
0
8
0
0
1
0
0
0
0
0
2
0
8
0
0
2
2
0
0
0
0
0
22
0
0
0
0
16
0
8
8
0
0
0
2
18
16
16
0
0
0
0
0
16
0
8
0
8
16
18
0
0
0
4
0
2
0
0
0
0
8
8
0
0
0
0
0
0
0
1
0
0
4
8
8
0
0
0
0
16
16
0
0
0
28
8
0
0
0
0
0
0
0
0
0
0
0
9
8
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
16
8
0
0
0
0
0
1
0
0
0
0
8
0
0
0
0
0
16
0
0
0
0
27
0
4
0
16
0
8
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
4
4
0
16
0
0
16
0
0
0
0
0
16
0
0
0
0
8
0
8
0
0
0
0
16
0
0
0
0
0
0
17
17
0
0
0
16
0
8
0
0
16
8
16
0
0
0
0
0
0
1
8
8
8
8
8
0
0
0
0
0
0
0
1
0
0
32
0
8
0
0
0
0
0
0
0
4
16
0
16
8
0
0
2
2
2
0
0
0
0
0
0
0
0
0
4
4
0
0
0
16
16
0
16
0
0
8
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
9
8
0
4
4
0
0
4
32
0
24
0
0
16
2
2
2
0
0
0
0
0
4
0
0
0
0
8
0
1
0
8
16
24
8
10
10
0
24
24
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
16
0
0
0
16
0
0
0
0
0
0
8
0
0
8
8
8
4
21
0
16
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
2
0
0
0
4
0
0
0
0
0
4
4
8
0
24
24
8
0
0
0
0
0
4
4
18
24
8
38
0
0
0
0
0
0
0
0
0
10
0
0
0
16
0
6
0
0
0
16
0
0
0
8
0
0
0
16
25
0
0
1
1
0
0
8
2
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
2
0
0
0
0
8
0
0
5
0
0
1
1
8
8
0
0
8
0
0
2
0
0
48
48
2
0
0
0
8
0
1
0
0
0
2
0
0
32
8
0
0
0
0
20
20
16
16
16
16
1
1
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
40
0
0
0
2
16
4
0
0
0
0
0
0
0
1
0
0
0
8
8
0
4
0
0
0
0
1
1
0
0
8
8
16
16
0
0
2
0
0
32
32
8
8
16
16
16
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
24
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
7
0
0
0
16
1
1
8
0
0
0
0
0
0
32
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
24
24
0
0
16
16
20
16
16
4
0
0
0
16
0
24
0
0
8
8
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
16
32
32
32
8
0
0
0
0
0
0
0
8
0
0
4
16
0
0
0
0
0
0
0
0
0
0
0
0
4
4
4
0
0
0
0
8
0
0
0
8
8
40
40
0
0
0
0
4
1
0
0
8
16
16
0
0
0
0
16
12
16
8
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
9
9
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
16
0
0
1
1
0
8
16
0
0
0
0
0
0
16
0
0
18
0
12
12
0
0
0
0
0
0
0
0
0
0
8
0
16
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
19
19
8
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
20
20
0
8
0
0
0
0
0
0
0
0
12
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
20
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
8
8
0
0
0
0
0
4
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
2
0
4
0
0
4
4
5
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
38
16
16
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
18
16
0
8
0
0
0
0
0
8
8
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
16
0
4
4
8
0
8
8
0
0
8
8
8
0
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
16
16
0
0
0
16
0
4
8
8
0
0
8
0
0
0
4
4
0
0
0
0
0
0
2
6
0
32
8
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
18
0
0
0
8
8
8
0
0
8
8
0
8
0
0
4
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
16
16
0
0
0
0
4
0
0
0
0
0
8
0
16
16
0
0
1
1
1
8
8
0
0
0
0
0
8
1
17
0
0
0
5
0
0
0
0
0
0
8
8
0
0
0
0
16
16
0
0
24
0
0
0
0
0
0
0
16
0
8
8
0
0
0
0
0
17
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
16
32
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
0
4
8
8
8
16
0
8
0
8
8
16
0
9
16
16
0
0
0
4
4
4
16
8
0
8
0
0
0
8
9
16
16
0
17
0
0
8
0
0
0
0
0
0
0
0
2
0
8
4
2
2
18
18
16
0
28
16
16
56
0
8
8
0
0
16
8
16
0
0
0
32
20
0
0
0
0
0
12
8
8
0
0
0
58
32
8
0
16
16
20
4
4
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
8
16
16
0
0
0
2
1
1
0
8
8
0
0
0
8
0
0
0
0
0
0
24
24
24
24
24
0
0
0
0
0
0
0
0
0
0
8
8
8
20
20
4
32
32
32
0
0
0
16
16
16
8
22
0
0
1
0
0
1
1
18
0
30
0
0
0
0
0
0
24
16
1
0
0
0
0
0
8
8
8
20
20
0
0
1
8
0
0
0
4
16
0
24
0
0
0
16
16
16
0
0
3
0
0
0
0
0
0
24
24
0
0
0
0
8
8
0
16
16
0
4
4
0
0
0
0
8
8
0
18
18
16
8
8
8
1
0
0
0
0
0
16
17
16
16
0
0
0
16
0
16
2
0
1
1
8
8
0
0
8
20
8
8
8
16
1
1
0
18
18
8
8
0
0
0
0
24
0
4
0
6
6
8
8
8
8
8
0
16
0
0
0
0
0
17
0
16
0
8
4
4
8
0
18
8
4
4
0
0
0
0
0
0
1
1
0
0
0
16
0
6
2
8
8
8
0
0
0
0
8
0
0
2
4
4
4
0
0
0
0
8
0
1
0
24
4
24
24
16
0
0
0
0
0
8
0
0
0
0
2
0
8
8
0
4
0
0
0
0
0
0
0
0
0
1
16
0
0
8
0
0
0
4
16
0
0
0
0
0
4
2
2
0
0
0
0
0
0
18
0
0
0
0
0
0
0
0
8
0
2
0
2
8
0
1
0
0
0
28
0
0
16
0
2
0
0
8
8
8
8
16
0
0
0
0
0
0
0
0
0
0
0
4
16
16
0
0
4
4
4
0
8
8
0
0
16
0
0
0
0
1
0
17
0
20
0
0
0
8
8
0
0
13
16
16
8
8
8
20
0
10
10
0
0
4
4
4
0
8
8
0
0
0
0
4
0
0
0
16
0
8
0
0
8
1
1
1
1
1
1
1
8
0
0
0
16
0
0
0
0
0
8
16
16
8
0
0
0
0
0
0
8
0
8
4
0
2
4
4
4
4
0
0
32
0
16
16
16
0
8
0
0
0
24
16
16
0
0
0
16
0
0
16
16
0
16
0
0
0
0
0
3
16
0
0
0
0
16
0
0
0
0
4
16
0
0
0
4
4
4
4
0
0
0
0
0
0
0
0
1
1
0
0
0
0
8
0
0
0
0
16
16
0
8
8
0
8
9
0
0
10
10
10
4
5
5
8
0
16
16
16
16
0
0
0
0
0
0
24
24
0
0
0
16
8
0
16
1
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
8
2
2
16
0
16
16
0
8
16
0
0
0
0
1
8
0
8
0
0
8
0
0
0
0
0
0
8
0
0
2
8
0
8
0
9
4
16
0
0
0
16
16
0
8
8
8
8
0
0
0
0
0
24
0
1
1
16
16
0
0
0
0
0
16
8
8
24
0
18
0
0
5
16
16
16
0
0
32
32
0
0
26
8
8
33
33
33
0
2
2
0
0
16
16
16
0
8
0
0
0
8
0
0
0
0
0
4
0
0
0
0
16
0
0
0
0
8
2
3
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
8
8
8
8
8
8
8
0
0
0
0
0
0
0
0
0
8
8
8
8
0
0
0
16
0
0
17
8
1
32
32
0
0
1
0
0
8
8
0
0
0
0
0
0
16
8
0
22
24
0
0
0
10
8
8
8
16
0
0
0
8
8
8
8
8
3
1
0
0
0
0
0
16
0
0
4
4
4
0
0
16
16
16
0
0
0
16
0
32
0
0
0
16
4
8
0
0
0
0
0
0
32
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
0
0
0
0
0
0
0
0
0
0
1
0
0
0
8
8
0
0
0
16
0
0
8
1
8
8
8
8
12
1
0
16
16
8
16
0
0
2
0
8
8
2
0
1
17
0
0
0
0
1
2
4
4
4
20
20
4
8
12
0
0
16
0
0
0
0
0
0
0
0
0
16
16
0
0
2
0
57
8
4
16
16
0
16
16
0
0
8
8
17
0
32
8
0
16
0
0
0
0
8
8
8
0
0
0
0
8
0
0
0
0
0
0
32
0
25
25
0
0
8
0
0
17
6
0
8
8
0
16
0
0
0
0
0
16
8
0
4
0
2
2
0
4
0
0
0
0
16
16
16
0
8
8
8
2
0
16
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
17
17
0
0
0
0
0
0
0
0
0
16
0
4
0
0
0
4
4
0
0
1
1
8
24
24
24
8
8
8
0
0
32
8
0
0
0
0
0
0
24
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
2
0
14
0
0
8
0
0
0
0
0
16
0
0
8
8
0
0
0
0
0
0
0
16
0
8
0
0
24
16
8
0
0
0
0
0
0
24
28
28
0
0
0
4
8
0
8
0
0
0
1
0
0
0
8
8
8
8
16
8
8
0
0
32
8
0
8
0
0
0
0
0
0
0
1
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
4
1
1
1
1
1
1
1
1
1
1
1
0
4
0
0
0
7
9
0
24
0
0
1
1
0
0
0
0
0
0
0
2
2
0
0
0
0
0
0
0
16
8
8
0
0
0
0
0
17
0
16
0
8
0
0
0
0
0
4
0
0
16
0
0
8
9
0
4
4
0
8
0
0
0
0
0
0
16
16
1
0
8
8
0
0
16
0
0
8
8
0
0
0
0
0
0
0
14
44
0
0
4
0
16
0
0
0
8
0
0
16
0
0
0
0
0
16
0
25
0
0
0
1
1
1
0
0
8
0
0
0
8
8
0
0
16
16
0
0
0
0
0
0
8
0
4
0
16
0
8
8
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
8
8
4
0
0
0
1
16
0
0
0
0
0
0
16
16
0
8
0
16
0
0
8
16
8
8
0
0
0
0
0
0
4
0
0
17
17
17
1
1
4
8
2
0
25
25
8
0
0
16
16
0
1
32
8
0
8
8
8
12
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
16
16
16
0
0
0
8
0
0
0
0
0
32
0
16
0
0
0
0
2
0
0
0
0
0
0
0
0
2
2
2
2
8
8
8
16
16
8
17
4
8
8
1
1
0
0
0
0
2
0
0
0
0
0
8
0
0
0
0
12
12
12
24
2
0
0
8
12
8
0
0
4
0
0
2
0
0
16
8
18
8
0
0
0
0
0
0
0
8
8
1
0
0
16
0
0
0
16
8
16
4
0
0
16
0
8
8
0
0
0
0
0
0
0
0
18
0
0
24
0
24
8
0
0
20
0
16
0
0
4
0
16
0
8
8
8
0
0
0
0
0
0
0
0
17
1
0
0
0
0
0
0
0
3
0
0
0
0
0
8
8
8
16
0
8
0
8
0
4
4
0
2
2
0
8
0
8
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
57
8
0
0
0
8
0
0
0
0
16
1
4
20
0
32
0
0
1
0
0
2
0
0
0
0
0
0
16
0
16
16
16
0
0
0
0
8
8
0
0
2
20
2
0
32
0
16
16
2
0
0
0
0
0
1
8
20
0
0
32
0
0
0
4
0
18
22
16
18
0
16
8
8
12
12
12
29
0
24
0
8
8
0
0
0
16
16
0
0
8
0
0
0
0
16
16
16
16
0
16
8
16
16
0
0
0
16
0
8
0
2
1
1
2
8
8
8
0
8
0
0
0
0
24
24
19
16
8
8
8
16
35
0
0
8
0
0
0
0
8
0
0
0
4
0
0
4
0
0
8
0
0
0
0
0
0
0
0
0
16
0
2
2
4
0
1
0
0
0
8
8
4
4
0
0
0
0
16
2
0
24
0
59
2
2
0
16
8
16
2
2
0
0
0
4
4
52
8
0
0
2
0
0
0
0
0
16
2
16
16
0
4
0
8
0
0
0
16
4
0
0
4
4
24
16
8
8
0
8
0
0
1
19
0
8
0
0
0
0
0
0
0
0
0
4
16
16
0
0
0
0
0
0
0
0
0
0
0
56
6
0
0
0
0
0
0
0
0
0
0
16
49
0
0
17
0
0
0
0
0
0
16
16
16
16
16
8
16
0
0
0
4
4
5
8
0
0
8
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
16
0
8
0
0
0
24
0
8
0
0
0
0
0
0
0
16
2
10
0
0
0
0
0
0
1
0
0
0
32
0
10
2
0
0
0
5
22
0
0
0
0
0
8
0
0
0
8
16
16
16
16
8
8
0
0
16
16
14
14
0
8
8
0
16
0
0
8
0
0
8
8
8
2
8
8
8
0
16
0
0
0
8
4
4
0
2
4
0
0
2
2
0
1
0
2
0
0
8
20
0
0
0
0
0
0
16
16
0
18
0
0
4
0
0
13
13
13
0
2
0
0
0
8
8
0
8
8
8
8
16
8
0
16
16
0
2
0
8
0
0
0
40
8
0
0
0
0
20
0
0
8
8
20
16
0
0
8
8
0
0
8
0
8
8
8
0
0
0
16
0
0
16
0
0
8
2
8
0
0
0
0
0
0
8
0
4
0
8
8
6
1
8
32
0
0
1
0
0
1
0
0
0
0
4
8
0
0
0
1
0
0
8
0
0
0
0
0
16
4
0
0
8
8
0
0
9
0
0
0
4
2
16
16
0
0
0
49
20
16
16
16
16
17
0
1
0
8
16
16
0
0
0
2
0
16
8
8
8
1
1
0
4
4
4
0
0
0
0
0
0
0
0
1
4
0
8
0
0
0
1
1
0
0
0
0
10
10
0
8
0
1
0
0
8
8
0
0
0
0
2
0
0
0
0
8
0
18
0
0
0
0
0
0
0
0
8
8
0
0
8
17
4
0
0
0
0
0
8
0
6
6
8
0
0
0
8
9
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
1
0
0
0
0
32
32
32
8
0
0
0
16
2
2
0
8
0
17
8
0
0
0
0
0
0
0
0
24
24
24
16
16
16
0
0
16
16
0
0
0
0
0
16
8
1
1
8
0
4
8
8
8
16
1
0
0
8
4
4
4
16
8
4
4
1
0
0
0
0
0
4
8
4
8
8
0
8
0
4
0
8
4
4
0
0
24
8
16
16
1
2
24
0
0
0
16
17
8
4
0
0
8
4
8
4
0
0
8
8
8
8
0
9
1
17
1
8
0
0
0
0
4
2
8
18
8
0
0
0
0
0
0
0
0
8
0
0
8
8
32
32
32
16
0
0
2
2
2
2
0
0
0
0
0
0
8
8
0
2
2
32
0
8
0
0
1
16
16
16
0
1
0
0
8
8
4
4
0
8
0
0
8
8
8
8
8
0
8
8
0
0
0
0
0
24
16
16
4
4
16
0
0
0
0
0
4
4
4
8
0
0
0
17
21
8
0
0
8
8
24
24
24
2
0
4
4
0
1
1
16
8
34
0
0
8
16
16
16
0
8
1
1
0
45
45
45
45
0
0
0
0
0
0
0
0
0
0
16
2
22
22
24
4
4
0
0
17
0
0
0
0
21
0
4
1
0
0
0
0
20
20
0
8
8
0
16
8
0
8
16
0
8
8
8
8
8
8
8
8
8
8
0
16
16
1
1
20
0
27
27
27
8
8
8
0
4
0
0
4
0
0
8
8
16
16
0
0
0
8
0
0
16
16
16
8
8
8
1
8
8
4
8
0
0
0
1
16
16
0
0
16
32
42
32
0
8
0
0
0
17
17
17
0
0
0
0
0
8
16
12
8
0
16
1
8
0
0
8
8
8
8
16
0
0
0
2
0
0
0
0
16
10
8
2
0
0
0
0
0
0
0
8
8
0
0
16
16
0
0
8
8
8
8
0
0
0
0
0
5
5
8
0
0
0
0
0
0
16
20
16
8
8
8
32
0
0
0
0
8
8
8
8
8
8
8
8
12
0
0
0
0
2
2
2
2
2
0
0
24
8
2
24
24
9
0
0
0
0
8
0
16
0
4
16
16
16
0
0
8
8
0
16
0
18
2
0
0
0
32
2
8
8
8
8
8
4
4
4
0
4
4
4
4
4
4
4
4
4
8
8
41
41
41
41
0
8
4
3
16
8
0
42
0
8
8
0
8
8
8
0
0
0
0
0
8
1
0
0
0
0
0
4
16
16
8
12
0
2
2
0
0
2
8
16
16
16
0
0
0
0
20
8
0
0
0
0
0
2
2
0
0
0
0
0
0
0
0
0
0
4
4
6
0
0
26
0
0
8
8
0
2
2
1
1
16
1
1
16
16
8
16
0
0
8
8
8
8
16
0
0
0
0
40
0
16
16
1
0
2
2
8
8
8
0
0
0
0
8
4
0
6
16
0
20
0
0
4
4
0
0
16
8
2
2
24
24
24
20
4
4
0
0
25
8
8
8
8
0
0
16
8
0
0
16
0
0
16
0
24
2
4
0
0
0
32
0
0
10
1
1
0
16
0
17
16
16
8
12
8
16
0
0
0
8
8
8
8
0
1
0
0
24
16
2
2
0
8
4
0
16
16
16
16
0
16
8
0
0
0
4
0
8
16
2
8
18
0
0
16
0
0
0
0
0
0
32
1
2
0
12
0
20
20
8
8
24
0
2
2
2
2
0
0
0
0
0
0
8
8
1
1
0
0
1
2
16
16
16
20
20
52
0
4
4
4
24
0
8
8
8
0
0
0
0
16
9
9
17
0
4
16
8
0
8
8
8
4
4
4
8
8
8
4
4
4
4
8
4
2
16
16
16
0
0
0
0
0
0
0
16
8
0
0
8
8
0
0
4
1
10
16
16
16
16
16
0
0
24
24
0
0
0
8
0
0
0
0
8
0
0
0
0
0
4
4
0
8
8
8
0
0
16
0
0
0
0
8
16
16
9
1
0
0
0
24
8
8
8
0
2
2
2
1
8
0
16
0
16
16
16
8
4
12
16
16
0
0
0
8
0
0
0
8
32
0
0
0
4
8
8
16
4
0
0
0
0
16
16
16
16
1
1
0
6
0
0
16
16
16
0
16
0
0
0
1
4
2
2
2
16
16
20
8
8
0
0
4
8
0
8
0
0
8
8
16
8
8
8
0
0
12
4
1
1
0
0
0
0
4
8
0
0
16
16
8
12
0
0
8
32
8
0
0
16
8
0
0
16
0
0
0
1
0
8
0
0
0
0
0
0
0
16
0
0
0
0
0
8
0
8
0
0
0
28
8
8
8
4
0
0
16
16
16
16
16
20
4
9
9
8
0
1
14
6
16
0
2
8
14
0
0
0
8
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
21
21
21
8
8
0
0
0
1
1
1
0
2
16
16
16
16
16
0
0
1
0
0
16
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
1
12
4
4
0
0
8
16
6
2
0
0
16
8
8
0
0
0
16
16
16
8
8
8
8
2
0
0
0
0
0
16
8
0
0
8
8
2
16
0
0
0
0
8
0
20
8
16
0
0
0
0
0
4
0
0
8
8
0
0
0
8
24
0
8
8
8
8
2
8
8
4
4
0
0
0
0
8
8
2
1
1
1
1
1
0
0
8
9
9
9
4
8
16
0
0
0
8
48
48
1
8
0
0
8
8
0
0
0
0
0
0
0
0
0
16
16
8
8
8
0
0
0
0
16
16
24
24
4
0
4
4
0
0
25
0
16
16
16
2
16
8
2
0
0
0
1
17
17
8
0
0
0
0
8
8
0
1
8
8
8
8
8
0
0
8
8
12
0
2
16
8
2
0
0
13
13
13
0
0
0
0
0
0
8
0
8
0
0
0
0
0
16
0
0
0
8
0
8
0
0
0
16
16
16
32
0
0
0
0
1
0
8
4
4
4
8
8
0
0
0
0
24
24
24
0
8
8
0
0
0
0
24
0
0
2
0
0
32
0
0
0
8
0
0
0
1
52
8
8
0
0
0
0
8
0
0
4
4
0
0
24
24
16
8
8
8
41
0
0
0
0
29
1
1
1
1
4
8
8
0
0
16
21
8
50
1
1
1
1
1
1
8
0
16
0
0
0
0
1
25
16
16
16
20
0
0
0
0
0
0
16
16
16
0
8
8
8
24
16
8
12
12
12
8
0
8
8
0
48
12
8
0
0
24
24
8
18
8
8
0
0
0
0
16
16
27
8
8
8
8
24
16
4
4
4
4
8
9
0
8
0
16
24
0
16
0
0
0
0
0
0
0
16
16
16
0
0
0
8
8
8
8
16
16
4
0
4
0
0
0
9
8
8
0
0
0
0
0
0
0
0
17
17
1
2
8
16
0
8
8
0
14
14
0
8
8
4
4
0
8
0
8
8
1
1
0
0
0
0
0
38
8
4
0
0
0
0
8
0
4
0
0
8
8
2
26
2
16
0
8
0
0
0
0
0
0
8
0
8
8
8
0
16
16
0
0
2
2
2
0
8
0
8
16
16
16
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
16
0
0
0
0
16
0
0
16
16
8
8
0
0
1
1
1
1
1
1
1
1
1
4
49
16
16
0
8
8
5
8
4
4
4
8
8
0
0
8
8
8
0
16
16
16
0
8
8
8
8
1
0
0
8
8
2
0
8
8
0
0
0
0
8
8
8
8
8
0
0
0
0
16
0
0
0
0
0
2
0
0
0
13
2
1
2
2
0
0
0
0
2
0
16
16
0
2
16
8
36
32
32
32
0
0
8
8
0
0
0
8
9
0
0
4
4
6
2
0
0
0
20
0
16
16
0
0
1
24
16
16
16
8
8
0
0
0
0
4
4
4
0
0
0
0
0
0
0
2
0
6
6
24
24
16
0
0
2
0
0
40
8
8
8
0
0
8
8
8
8
8
24
8
8
8
8
8
8
8
0
0
16
0
0
16
8
0
8
8
0
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
25
8
8
0
0
2
0
0
0
0
2
2
2
2
16
16
0
8
0
8
24
0
0
1
1
8
0
0
0
0
0
8
16
20
0
0
0
20
17
17
0
8
16
16
20
4
41
0
8
8
8
8
8
8
0
0
8
8
16
16
16
16
4
16
16
16
16
16
0
8
1
1
0
0
0
0
0
0
4
4
1
1
0
0
0
0
4
4
0
8
8
8
4
0
0
2
0
0
0
8
0
0
0
4
4
4
8
8
24
24
8
8
8
8
16
16
0
0
0
8
8
8
8
8
8
8
8
0
0
16
8
8
0
8
8
8
16
4
1
1
1
8
2
8
0
1
0
24
4
16
16
16
8
2
16
4
8
16
1
8
8
0
9
9
0
20
20
4
24
0
0
0
0
0
2
4
8
8
0
8
8
8
8
8
0
0
0
0
0
0
0
8
8
0
8
0
8
0
0
0
0
0
0
24
0
0
0
0
0
8
1
0
0
24
0
8
8
0
24
8
8
8
16
0
0
4
4
37
0
16
0
2
2
2
2
0
0
0
1
1
0
0
0
8
0
0
14
14
0
0
20
16
8
0
5
4
32
32
0
8
8
8
0
8
8
16
48
16
2
8
1
0
1
8
0
0
0
0
16
16
8
8
8
0
16
16
0
0
0
0
8
8
2
8
0
25
8
0
8
8
8
8
8
8
8
0
16
0
0
0
0
4
0
8
8
0
0
0
8
0
0
2
0
0
0
0
0
0
0
22
8
18
0
8
0
12
28
28
0
8
8
1
8
24
8
0
0
8
8
8
8
8
24
24
1
1
0
0
0
0
0
8
8
16
4
16
8
0
8
8
0
0
9
8
8
0
1
4
13
1
1
1
0
8
2
0
8
8
4
0
8
2
0
0
4
12
12
12
0
0
4
0
8
8
0
16
0
0
32
32
0
16
4
16
8
24
50
1
0
0
0
8
16
0
0
0
0
24
0
0
16
16
16
16
8
0
0
4
4
8
8
0
0
0
0
0
0
0
8
8
0
0
0
8
8
8
24
16
0
0
24
25
2
0
0
0
1
0
0
0
0
8
0
24
4
8
0
8
0
0
24
1
0
8
8
8
0
0
0
8
8
0
0
0
8
0
0
0
0
8
8
8
0
5
5
5
0
0
0
16
8
0
8
8
8
0
0
0
0
8
0
0
8
8
8
8
8
0
0
4
4
8
8
8
8
8
8
8
8
0
0
8
24
8
8
8
4
0
2
4
4
0
16
0
0
0
0
0
8
8
0
16
0
0
0
0
0
0
0
16
8
0
1
1
8
8
8
0
2
0
8
16
0
0
0
0
0
16
8
0
0
0
16
16
18
0
1
24
0
8
8
8
8
4
0
2
4
0
41
41
16
32
0
0
0
0
8
8
8
8
8
0
2
17
0
16
1
1
8
8
4
4
4
4
4
4
4
9
0
0
0
4
4
4
8
0
0
17
13
0
0
0
16
0
2
16
8
1
1
12
2
2
0
8
8
8
8
8
4
4
8
36
18
16
16
16
9
0
0
0
50
50
17
4
0
0
0
16
8
0
0
0
3
8
0
1
32
32
0
2
0
0
0
4
4
0
8
8
8
8
0
16
0
8
8
4
8
0
8
8
8
8
8
0
16
1
8
8
16
16
4
0
0
0
8
2
0
8
0
8
8
0
0
0
4
16
16
16
0
0
16
0
0
16
8
2
22
22
4
0
0
8
8
8
16
0
0
0
0
0
0
0
8
8
4
0
0
0
16
4
4
20
8
8
0
0
0
0
0
0
0
4
4
25
25
24
0
0
0
8
8
8
16
16
8
24
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
1
8
24
16
16
24
0
17
8
8
8
8
8
8
8
12
12
12
9
16
8
16
0
32
32
32
8
0
0
0
0
4
16
16
8
0
0
0
0
0
8
8
0
0
0
0
8
8
8
8
8
4
16
8
0
0
4
4
4
4
9
0
0
0
8
0
4
0
32
32
0
8
0
8
0
0
24
16
8
8
8
8
0
0
8
0
8
16
16
16
3
0
8
8
0
0
32
8
0
0
0
0
2
0
24
1
8
0
0
0
0
0
18
8
0
16
16
16
32
8
0
20
16
0
16
32
16
16
8
8
32
16
16
16
18
16
16
8
0
29
0
4
4
16
4
1
1
9
4
8
0
0
0
8
0
0
4
6
6
0
9
0
0
0
8
0
0
8
24
16
0
4
0
4
8
41
1
0
16
8
8
8
25
8
16
0
2
16
16
10
0
0
0
8
0
0
16
16
0
0
0
0
0
26
17
16
16
8
8
8
2
2
6
8
8
8
0
0
0
0
16
0
8
0
0
0
0
0
0
1
8
0
0
0
8
8
8
2
2
16
16
8
8
8
8
8
8
0
0
0
0
16
16
0
0
0
16
0
16
8
0
10
0
4
0
8
16
8
8
16
0
0
0
0
0
16
9
0
0
4
0
0
1
1
16
0
0
8
0
4
0
25
0
8
8
8
0
8
8
8
8
8
8
12
12
9
40
4
4
4
8
8
0
4
1
1
1
0
19
0
8
24
24
0
0
0
0
0
0
0
32
32
1
4
16
16
16
0
0
0
0
4
0
0
0
0
0
2
8
0
0
0
16
0
0
0
0
8
8
24
8
8
4
4
4
0
24
2
18
16
16
0
21
21
21
21
0
0
8
8
16
16
16
16
0
0
0
1
1
1
8
8
5
5
0
0
0
0
0
12
0
8
20
8
2
0
0
0
0
0
0
2
1
1
1
2
48
18
16
0
9
0
1
2
0
0
0
0
17
0
12
0
16
16
16
16
16
16
16
0
1
8
0
0
0
2
0
0
0
32
0
8
8
0
0
0
0
0
24
0
0
0
4
4
4
8
8
4
4
8
8
0
0
0
0
8
0
0
0
32
0
0
0
16
8
16
16
16
0
16
16
0
0
0
4
1
8
8
0
0
0
0
0
0
0
0
0
0
0
1
8
8
8
0
0
16
16
16
0
0
40
40
0
8
8
8
0
16
2
0
0
0
16
0
0
0
0
20
16
9
8
0
4
4
9
0
0
0
0
0
0
0
2
2
1
0
0
8
8
8
0
0
0
0
0
0
0
8
8
8
8
8
8
2
2
2
8
8
0
0
0
2
0
0
0
0
4
0
0
0
59
0
9
0
0
0
0
0
0
1
8
8
0
0
20
0
0
0
0
0
1
17
0
0
16
16
0
1
8
8
0
0
16
16
0
0
2
0
0
16
16
0
8
8
8
0
0
0
8
8
4
16
0
0
0
0
0
0
8
4
0
16
8
48
0
0
0
0
0
0
0
0
0
0
0
0
16
1
8
0
0
0
0
0
0
0
0
0
4
4
4
16
16
0
24
24
2
2
0
0
0
0
0
0
4
1
8
8
0
0
0
0
48
0
0
0
16
16
2
2
8
0
0
0
0
0
0
8
8
17
17
9
0
32
32
0
4
10
0
0
0
0
0
2
0
0
0
0
0
0
0
1
20
8
8
16
16
16
0
0
0
0
16
8
8
8
8
8
0
1
0
0
16
0
2
8
8
16
8
8
16
0
0
0
0
0
0
0
0
0
13
24
0
8
24
0
0
0
0
0
0
0
0
0
16
1
4
2
0
0
0
1
0
8
0
8
8
2
2
2
0
16
0
0
8
24
24
24
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
8
0
8
0
0
32
32
32
0
0
15
11
0
16
0
0
0
0
0
0
0
8
8
0
0
8
0
0
0
0
8
2
0
4
8
0
0
0
8
0
11
0
0
0
0
4
4
0
0
0
0
0
0
0
28
0
0
1
24
4
16
16
8
4
0
8
8
0
0
0
0
0
16
0
0
0
0
0
0
0
8
2
2
16
0
0
0
0
0
16
21
21
0
0
0
0
0
0
0
0
0
0
4
16
0
0
0
0
0
16
8
8
0
0
16
0
1
0
4
16
0
8
0
0
32
8
16
8
8
0
8
8
8
8
0
0
8
0
16
16
0
8
1
0
16
0
0
0
0
0
0
8
8
8
8
8
0
8
0
0
0
0
13
0
1
1
0
0
0
0
16
0
24
24
8
0
0
0
0
4
0
16
0
0
8
4
0
1
20
0
0
0
28
28
8
16
16
0
0
0
8
0
0
12
16
0
6
2
2
0
0
0
0
0
16
10
0
18
19
16
8
12
0
8
8
1
1
1
2
0
0
0
4
0
0
0
1
16
16
16
0
32
0
0
0
0
0
16
28
4
4
16
16
16
8
8
8
0
0
16
0
0
0
0
0
8
8
0
40
40
0
0
0
0
8
8
16
8
16
0
0
0
0
0
8
0
0
0
0
0
0
0
8
4
8
8
4
0
0
0
0
0
8
8
0
0
0
2
16
0
0
0
0
0
0
0
0
0
0
0
8
8
11
8
0
0
0
0
5
32
32
8
4
0
0
16
2
0
16
16
0
16
16
0
53
0
4
11
0
0
0
0
0
8
8
8
8
0
0
17
21
0
2
0
8
4
0
0
0
0
0
0
8
0
1
0
0
0
0
0
16
0
0
16
0
0
4
4
4
0
0
16
8
8
0
0
4
2
0
0
2
8
8
0
0
0
0
0
5
5
5
5
0
0
0
0
2
0
0
8
0
0
4
16
0
0
0
4
4
16
0
8
8
0
0
0
0
0
0
16
24
16
24
0
0
0
0
16
1
8
16
8
59
0
4
8
16
16
1
4
8
0
4
8
8
2
0
1
0
0
16
0
0
0
16
16
0
19
0
0
0
4
0
0
0
0
0
0
16
24
0
0
4
4
8
0
8
0
0
0
0
16
0
0
2
0
0
8
0
0
0
0
0
0
16
16
8
16
0
0
0
0
0
0
16
0
2
0
0
8
8
8
0
16
8
8
8
0
8
8
4
4
0
0
2
0
0
0
0
8
0
0
0
0
0
0
0
0
0
16
16
16
0
32
0
0
0
0
0
0
16
20
0
8
8
0
0
8
0
0
0
0
0
0
0
0
20
0
0
0
0
0
0
0
0
0
0
8
8
4
4
20
0
1
0
0
4
2
0
4
8
8
8
8
8
8
0
0
0
0
0
8
31
8
8
8
8
8
16
8
8
0
14
0
8
0
0
2
16
4
0
0
0
8
21
0
16
16
16
0
4
2
16
0
16
16
0
0
53
0
8
8
16
0
0
5
0
20
0
12
0
0
0
0
0
0
4
0
8
8
0
1
0
0
0
0
16
16
0
0
4
0
0
0
0
8
25
8
0
4
8
8
0
16
8
0
32
0
4
0
24
8
0
16
0
0
4
16
16
16
16
0
0
0
0
0
1
8
8
1
8
8
18
18
0
0
2
2
0
0
0
0
8
3
0
0
32
0
0
4
8
8
4
8
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
18
0
0
0
0
0
8
8
0
0
0
16
16
16
16
0
16
16
8
0
4
42
42
8
16
16
0
0
0
0
0
0
0
4
0
0
1
24
24
0
0
4
4
0
0
0
0
0
0
0
0
0
0
8
0
0
56
24
24
0
0
0
0
8
8
5
16
16
4
4
0
16
8
4
0
0
0
8
0
2
2
8
38
0
0
0
0
8
8
16
0
0
24
0
8
16
16
0
8
8
0
0
1
1
17
0
17
0
8
1
16
0
2
4
4
4
0
0
16
4
0
4
0
4
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
24
24
8
8
8
8
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
8
0
4
2
8
8
0
32
0
0
2
0
0
0
0
16
16
4
0
0
0
8
0
0
0
24
24
8
0
4
4
24
0
0
1
4
14
8
0
16
0
16
24
16
2
0
8
2
0
0
0
0
0
0
0
4
0
0
0
0
0
0
4
4
4
4
4
4
8
8
0
0
0
0
0
0
0
0
16
0
16
8
8
0
0
0
28
2
20
20
0
0
0
2
0
0
0
4
0
17
0
0
2
8
0
8
24
0
0
0
10
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
8
0
1
1
0
0
0
24
0
0
16
0
0
0
0
0
0
0
6
0
0
0
0
0
8
0
9
0
0
0
0
0
0
1
1
1
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
16
16
0
0
0
24
42
0
0
24
24
0
0
0
0
16
24
24
16
32
0
0
0
0
0
8
0
0
0
0
27
0
1
0
0
0
0
16
16
0
0
0
8
8
8
0
8
8
8
0
0
0
0
0
8
8
8
8
8
8
0
0
0
0
8
0
0
0
0
2
0
0
0
0
0
10
0
0
0
0
0
0
0
16
0
0
0
0
16
0
16
0
1
0
0
0
0
0
0
0
0
0
8
0
0
0
18
16
16
0
0
0
16
8
8
8
8
0
0
0
0
4
16
0
0
16
8
2
2
16
16
0
4
0
0
0
0
0
0
0
32
0
16
8
24
1
0
0
0
8
8
0
8
8
8
0
8
0
0
8
0
0
0
0
0
0
0
0
0
8
8
2
0
0
0
0
0
8
8
6
1
0
16
0
0
0
0
2
0
10
4
4
4
0
16
0
0
0
4
8
10
8
8
0
16
8
49
18
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
8
8
8
4
4
12
0
0
0
0
2
32
0
0
0
2
0
0
0
0
0
0
8
8
8
8
0
10
8
0
16
2
0
16
8
0
4
4
0
8
0
0
0
0
0
0
8
0
0
4
0
0
0
0
8
0
16
0
0
16
8
8
8
8
0
2
0
1
0
0
0
0
24
0
0
16
0
0
0
0
0
16
0
8
61
61
8
8
8
0
0
0
0
0
0
0
0
0
0
8
1
16
0
0
20
0
16
0
0
0
0
0
0
25
2
0
0
8
16
0
0
48
0
24
24
0
0
0
0
8
8
8
16
0
4
0
0
16
0
0
0
0
0
0
8
0
2
0
22
22
0
1
0
0
16
16
24
24
0
0
0
0
2
2
8
0
4
0
18
0
0
0
0
8
0
8
0
17
0
0
0
0
8
8
8
0
0
0
10
16
0
0
0
16
0
0
0
0
16
0
2
0
4
0
0
16
0
0
0
0
6
0
5
10
8
8
8
16
0
0
0
0
16
58
0
0
16
16
16
8
0
0
0
8
0
0
0
16
0
0
0
0
0
4
4
4
4
0
0
0
16
0
16
0
0
0
8
0
0
24
24
24
24
0
2
4
0
4
1
8
8
8
2
4
0
0
0
0
0
0
17
0
8
0
0
0
0
16
16
16
0
0
0
0
0
0
0
8
0
4
16
0
32
0
8
20
20
0
16
16
0
0
0
0
16
16
0
0
8
0
0
11
0
0
0
0
16
0
0
16
4
2
0
28
8
0
0
0
0
0
0
0
0
0
0
0
4
0
4
0
0
16
8
8
0
0
0
0
8
8
8
0
0
49
49
1
1
0
8
16
8
8
8
0
0
0
4
4
0
0
0
0
0
0
16
0
0
8
0
8
0
4
4
0
16
16
0
16
8
8
8
0
0
0
0
25
0
8
8
0
45
45
45
0
0
0
1
1
1
1
0
0
4
4
16
8
8
8
4
4
4
0
8
8
8
6
16
24
24
0
0
2
0
0
0
1
0
0
0
20
0
0
0
0
0
4
0
8
8
0
0
16
1
0
0
0
0
0
16
4
16
0
8
1
0
0
0
2
0
0
0
4
4
0
0
0
2
4
0
0
0
8
0
0
8
0
0
0
16
24
16
16
0
0
0
4
0
5
0
0
0
0
0
24
0
1
8
8
8
36
0
0
0
0
0
0
0
0
40
16
16
16
16
1
1
0
0
8
0
8
0
8
0
2
0
0
0
0
0
0
9
9
9
0
16
0
0
0
1
1
0
1
28
0
0
0
0
4
0
0
0
8
0
0
8
32
0
0
0
0
0
32
32
0
16
1
20
4
0
0
0
0
0
1
0
0
0
0
0
0
0
3
3
0
0
8
8
16
2
0
2
0
0
8
0
0
16
16
8
0
0
0
0
0
0
0
0
2
2
2
0
2
4
8
8
0
0
0
0
16
0
0
0
0
0
0
0
0
0
2
0
0
0
8
0
8
2
24
0
0
0
18
8
0
0
0
0
0
0
4
12
8
0
16
16
16
2
0
17
1
1
1
1
0
16
0
1
0
16
8
16
16
8
1
1
1
0
16
0
5
5
9
0
0
0
0
0
0
16
8
1
0
8
16
24
8
8
0
0
18
0
0
0
2
4
4
4
8
0
8
8
0
0
8
8
0
0
16
8
8
24
0
0
21
21
21
21
8
0
0
21
21
8
4
8
0
0
0
0
16
0
0
0
8
8
8
8
8
8
8
16
16
16
1
16
16
0
16
16
16
0
0
0
0
0
0
0
16
0
0
0
8
24
8
24
8
8
8
0
8
8
16
8
0
0
0
16
0
0
0
8
8
2
2
2
0
0
0
0
28
28
20
20
16
8
28
0
0
0
16
16
0
0
0
0
0
16
0
8
8
0
4
2
2
2
2
2
0
16
16
8
0
8
8
10
18
8
8
16
4
0
8
8
8
16
0
0
0
0
8
16
0
0
4
4
8
0
0
16
0
0
0
0
0
0
8
0
3
2
0
0
10
10
8
8
16
0
0
0
4
0
1
32
8
0
16
16
0
0
0
8
4
0
8
2
0
0
16
4
4
4
4
4
4
8
32
56
56
0
16
0
4
0
8
8
18
1
0
1
4
4
24
0
1
8
8
1
1
8
8
4
0
8
16
8
0
0
0
8
8
0
8
0
2
2
2
2
2
12
18
0
0
0
0
1
0
8
8
24
0
16
6
6
6
1
4
16
16
8
8
18
18
16
16
16
16
16
16
16
4
4
0
0
0
1
1
1
0
1
1
8
16
16
16
16
16
4
4
0
0
0
2
32
32
0
16
16
16
8
4
0
1
1
0
37
3
8
16
1
0
1
8
8
8
20
16
16
0
16
16
18
0
0
4
4
0
4
0
8
8
8
8
8
0
2
0
16
0
24
20
20
0
8
8
4
8
8
8
0
0
6
6
16
0
0
8
8
8
8
0
8
16
16
16
16
16
0
8
0
0
4
24
1
1
0
8
8
1
0
0
8
8
8
8
20
8
8
0
2
16
16
2
2
17
16
0
18
16
0
4
4
0
1
8
0
0
4
4
0
0
8
16
16
16
16
8
8
27
27
8
8
8
0
0
8
0
0
16
16
0
1
8
0
0
0
16
16
0
8
8
8
8
8
0
8
8
8
0
0
0
24
8
0
0
0
16
0
0
16
2
8
0
2
0
0
0
0
1
1
1
1
1
0
28
4
0
16
1
1
16
0
0
2
0
0
1
0
0
2
2
0
16
1
8
0
0
0
10
0
8
1
0
1
1
1
2
0
8
8
20
20
0
0
8
12
0
16
16
8
8
8
8
8
8
16
16
20
0
0
0
0
0
0
16
0
0
8
8
0
4
8
8
8
8
8
8
0
0
0
4
8
8
0
0
0
8
8
8
8
8
8
8
0
16
8
8
8
0
8
8
0
16
0
0
0
8
0
0
0
16
16
0
4
0
8
0
4
0
16
0
0
0
0
0
0
1
0
12
0
6
0
0
0
8
8
4
4
9
9
0
8
0
0
8
8
8
8
4
0
0
0
0
0
8
8
8
8
0
0
0
0
1
1
1
1
8
16
22
0
0
0
0
0
0
1
0
0
0
1
4
4
2
16
0
0
32
0
0
0
1
0
16
16
0
0
0
0
0
0
0
0
0
0
57
57
57
57
57
57
0
8
0
0
2
8
24
8
0
0
20
8
0
0
16
16
16
4
0
0
0
0
0
0
16
0
24
0
32
16
8
8
16
4
20
8
4
0
16
4
4
4
4
0
0
16
16
16
1
16
8
8
8
2
2
8
8
4
6
16
16
48
8
16
16
16
0
0
0
8
5
0
0
0
0
0
17
8
0
0
8
8
0
0
0
0
4
0
4
8
0
0
12
2
6
6
6
8
0
0
0
0
8
0
8
0
8
0
8
8
8
0
0
8
8
8
8
8
8
0
0
8
8
0
0
0
0
24
1
16
4
4
0
8
8
0
0
4
16
16
16
8
17
0
0
0
1
1
8
16
20
10
0
0
0
0
8
16
16
0
1
1
8
0
0
8
20
0
8
0
0
0
0
0
16
16
16
1
9
1
2
2
2
2
4
16
16
4
4
16
16
16
0
0
0
0
20
24
0
2
18
0
1
1
8
8
16
0
9
8
8
0
8
8
0
16
0
0
8
0
0
8
0
0
4
0
16
27
0
0
2
8
0
8
8
16
0
0
0
8
0
24
24
1
8
0
0
0
8
8
8
8
0
0
2
2
8
0
0
6
0
0
0
0
0
8
8
8
8
8
0
24
0
12
12
0
4
4
16
16
24
24
0
0
16
16
16
0
0
8
26
0
8
0
0
0
16
0
0
2
2
4
0
8
0
4
17
24
24
24
8
0
0
4
0
0
0
0
0
0
0
0
2
0
0
8
16
16
16
8
16
16
0
2
0
4
1
1
1
0
16
20
20
1
0
0
0
0
8
8
32
32
0
0
0
0
16
20
0
8
13
17
8
8
16
0
0
16
16
8
0
0
1
0
0
0
16
16
4
16
0
17
0
0
0
0
0
8
8
8
8
16
32
0
0
17
17
8
8
8
0
24
0
0
16
16
0
0
0
32
2
0
4
0
0
0
0
0
0
0
8
0
52
52
0
8
0
8
0
0
8
16
16
8
0
0
8
0
0
0
0
24
0
8
8
0
8
0
0
0
0
0
0
8
8
4
4
0
32
0
0
5
0
6
0
16
8
8
0
0
0
4
8
16
16
0
8
0
0
8
8
6
0
0
0
9
8
0
16
0
8
8
0
0
48
8
8
16
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
8
0
8
0
1
0
0
0
32
0
18
17
3
1
8
8
8
8
20
20
0
0
32
3
3
3
0
0
0
0
0
0
0
0
9
9
9
9
32
32
32
32
32
40
32
32
32
0
0
0
0
4
0
0
0
0
16
0
0
0
0
0
0
0
0
0
8
8
8
10
16
16
8
8
6
8
0
0
0
20
16
18
2
1
8
8
0
8
16
0
2
0
8
0
0
32
0
0
0
0
0
0
0
0
0
8
8
0
0
16
4
0
16
8
0
0
0
8
8
4
8
2
2
28
28
8
0
16
0
8
8
16
16
16
16
0
0
0
0
0
0
0
0
0
0
0
8
8
16
0
0
0
0
16
0
0
0
0
0
0
0
8
0
0
16
1
1
1
1
1
1
16
0
0
0
0
0
0
2
2
16
0
0
17
4
4
1
0
16
16
8
8
8
8
0
8
45
45
45
45
0
0
0
0
8
0
4
0
0
0
0
4
0
0
24
24
8
16
8
0
0
0
1
8
8
0
0
0
4
4
4
1
8
0
0
16
32
32
0
0
8
8
8
0
4
4
4
0
8
0
0
0
8
8
0
0
0
0
16
16
16
0
8
16
16
8
16
0
24
8
0
0
33
0
0
0
8
0
20
0
0
4
4
0
0
0
0
0
16
0
8
0
0
0
0
8
16
4
4
8
4
4
4
10
8
0
0
0
0
1
1
8
8
8
0
2
2
0
16
16
0
0
8
0
0
0
8
8
8
8
0
0
0
26
0
8
8
8
8
0
0
8
4
16
8
8
0
0
4
4
4
10
0
0
16
8
2
9
0
32
32
8
0
0
0
8
40
8
8
8
8
8
8
32
32
0
1
0
0
1
8
8
16
16
0
8
8
0
0
0
1
1
1
32
1
1
4
0
16
16
0
2
16
0
8
1
8
8
8
0
0
8
24
20
8
8
8
8
8
40
40
40
44
40
40
16
8
16
0
0
0
0
0
8
8
0
0
8
8
16
0
8
0
16
16
4
4
20
0
0
16
4
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
16
2
8
8
8
32
32
8
8
8
0
0
0
32
0
0
0
16
0
24
1
0
16
8
8
8
6
16
8
8
0
0
0
0
0
0
8
8
8
28
28
0
8
16
0
0
16
32
8
8
0
36
0
8
0
0
8
9
0
0
0
49
49
8
0
0
8
0
0
16
21
21
21
21
21
21
21
21
21
21
4
0
0
0
0
8
8
8
8
1
16
16
16
0
0
0
0
0
1
16
16
16
0
0
8
8
8
8
16
16
8
16
0
40
40
16
16
8
16
8
0
0
0
16
16
0
16
0
8
8
0
6
2
32
32
2
1
0
0
0
8
16
4
4
8
8
8
0
8
0
0
8
0
16
0
0
0
8
8
8
16
16
16
2
2
0
0
4
1
0
0
0
0
0
8
0
8
8
4
8
0
16
0
4
16
16
16
8
8
8
2
1
0
0
8
8
0
8
48
0
16
16
16
16
16
1
0
0
0
0
8
0
16
12
2
2
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
8
0
16
0
36
36
8
8
0
8
8
8
0
4
2
2
8
16
0
0
8
18
0
0
0
0
0
0
28
28
40
0
8
8
8
3
2
0
0
16
16
8
0
8
16
24
16
0
0
0
0
8
8
16
8
24
24
24
2
2
2
2
2
0
0
8
8
16
0
16
0
0
16
0
0
2
0
0
0
0
0
0
8
8
8
0
3
0
0
8
8
16
0
8
8
0
5
1
1
0
8
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
8
0
0
0
0
0
0
8
8
8
8
8
16
8
8
0
0
16
16
8
0
8
0
21
21
0
1
1
0
2
2
0
9
24
8
16
0
0
0
0
8
48
48
48
8
8
8
0
8
0
16
0
0
0
8
8
1
0
1
2
0
8
0
0
0
1
0
0
8
8
8
0
8
1
8
0
0
0
16
16
16
24
8
8
8
0
0
0
0
16
16
16
0
0
0
4
4
2
1
3
0
2
2
0
0
8
8
8
8
8
8
0
0
0
8
0
0
24
0
0
8
8
4
40
8
0
16
16
0
0
0
0
0
0
0
0
0
0
8
16
56
4
8
0
0
8
8
8
8
0
9
24
3
3
3
8
0
20
4
0
1
1
0
0
0
0
0
16
16
16
0
8
0
32
18
0
4
16
0
0
0
0
0
0
0
42
16
16
16
0
16
16
16
16
16
8
8
0
8
8
0
8
0
0
32
32
8
8
8
4
4
22
22
16
28
16
16
1
20
20
16
16
0
32
0
0
8
8
4
8
8
8
8
8
8
8
0
8
16
0
2
8
8
0
16
2
2
0
0
8
0
0
0
16
0
0
0
1
0
1
0
8
8
0
0
8
8
40
40
40
40
0
0
8
1
1
16
8
0
0
0
8
0
16
16
0
0
0
1
1
1
0
1
1
4
8
0
16
1
8
8
0
0
0
8
8
0
0
0
8
2
18
2
0
48
48
16
0
0
0
0
0
20
8
8
8
8
0
0
24
8
0
16
16
0
2
8
10
18
0
16
16
0
0
8
8
12
40
16
16
8
4
0
0
13
0
8
8
8
8
0
0
0
0
0
8
8
8
12
0
2
0
4
4
4
0
0
2
0
8
0
16
0
0
0
0
0
0
16
1
1
1
52
0
0
0
0
4
0
16
9
0
8
0
8
8
4
4
4
4
4
4
0
0
9
16
16
8
24
24
8
20
1
1
16
16
0
0
16
16
8
34
0
0
0
2
0
8
8
8
8
8
4
0
0
6
0
0
0
0
8
8
8
16
16
0
4
8
4
16
24
0
16
16
16
16
0
0
0
3
1
8
8
8
8
8
0
0
16
8
8
2
24
0
4
8
8
8
16
16
2
2
8
8
20
0
4
4
0
8
20
16
0
32
32
32
0
0
36
0
0
0
12
12
0
8
8
0
0
8
0
0
0
4
8
8
16
16
1
1
0
0
4
32
4
0
8
8
0
16
0
0
0
0
8
4
8
8
8
0
1
1
8
8
8
0
0
9
2
2
0
0
8
8
2
8
16
16
0
0
2
0
0
0
2
16
16
0
0
16
0
8
8
0
18
18
18
0
0
0
0
4
0
0
8
8
0
8
0
16
16
16
16
16
2
2
16
16
8
6
2
2
2
2
0
0
0
0
0
12
8
16
16
4
0
0
8
1
1
0
16
16
16
0
0
0
1
40
40
40
8
0
4
8
0
0
0
4
20
1
1
8
0
0
32
32
32
4
4
16
0
0
0
0
0
2
0
4
8
8
8
4
1
1
1
1
1
0
0
0
1
0
8
8
24
0
0
8
4
0
0
8
0
0
0
0
16
16
8
8
6
6
0
0
0
0
0
48
48
8
1
8
8
0
0
1
1
0
24
0
56
8
8
0
8
8
8
8
33
0
1
0
8
10
0
2
2
8
16
16
16
16
16
16
16
16
20
8
2
2
0
0
16
0
0
8
17
17
17
17
22
0
0
4
4
4
8
8
0
8
16
16
0
0
8
1
1
0
0
0
2
22
0
16
0
16
4
0
0
16
16
16
0
0
0
0
0
32
32
32
0
8
18
0
16
28
28
0
0
0
0
0
8
20
0
0
1
0
0
16
16
0
8
0
8
8
8
0
0
0
0
0
16
0
8
8
8
8
8
16
2
0
0
0
16
8
0
0
4
0
0
8
8
0
8
0
0
16
16
0
4
8
8
16
16
0
0
0
1
2
2
2
2
2
0
0
0
4
4
1
0
0
0
0
0
0
0
0
4
16
16
16
16
16
16
0
16
0
0
2
0
0
0
59
59
59
8
0
24
24
4
0
1
1
0
0
0
0
0
0
16
0
0
0
25
25
25
16
0
0
0
0
0
0
0
0
0
4
0
0
8
0
0
0
4
0
0
0
1
0
0
4
0
0
0
9
0
0
4
4
4
8
8
1
8
16
0
0
0
8
8
8
16
0
0
0
8
16
16
0
0
0
0
0
0
1
1
1
1
4
0
0
8
8
8
1
0
0
8
8
0
0
0
0
0
0
0
0
8
8
16
0
0
8
0
0
0
0
43
0
8
8
8
8
0
0
0
1
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
16
17
8
0
0
0
0
8
0
0
16
0
0
8
8
0
0
0
0
0
2
8
0
0
60
0
0
0
8
8
0
32
32
4
0
0
0
24
16
0
16
0
0
0
9
0
8
8
8
8
8
0
8
0
0
4
4
17
0
0
16
16
0
0
0
0
0
0
16
14
16
0
13
6
0
0
0
0
0
0
0
28
0
6
6
6
6
0
8
8
0
0
0
0
0
0
4
0
0
16
16
16
10
0
0
0
0
0
0
12
32
32
32
32
0
0
0
0
0
0
0
0
8
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
24
24
24
24
32
32
24
0
0
0
0
0
25
0
44
0
0
0
0
8
8
8
8
0
0
0
0
0
8
8
8
2
0
16
24
0
2
0
0
8
4
0
0
0
8
0
0
0
0
16
8
8
8
46
16
0
0
0
8
8
8
32
32
24
0
0
16
0
0
0
4
8
0
0
24
8
8
8
0
0
24
24
0
0
0
0
0
0
0
0
0
0
16
0
4
24
24
24
2
2
16
4
8
8
0
0
0
0
0
0
0
0
16
16
28
4
4
0
0
8
16
16
8
0
0
0
0
0
8
0
0
0
20
9
0
0
0
0
8
0
0
16
4
4
0
0
0
0
0
0
4
16
16
0
0
0
0
24
0
8
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
8
8
8
0
16
0
0
0
0
8
8
0
0
0
0
0
0
0
8
0
0
1
33
0
0
0
0
0
16
16
16
0
0
0
0
0
2
6
0
0
0
0
0
0
0
8
16
16
8
8
8
8
8
16
0
0
0
0
0
0
8
0
2
2
0
0
0
0
0
0
0
0
0
1
0
0
16
0
0
0
0
0
20
0
1
3
0
0
0
8
16
16
16
16
16
0
0
0
0
0
8
0
8
8
0
0
0
0
0
16
16
0
0
21
21
8
1
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
48
0
0
0
0
8
8
4
4
0
8
8
0
0
0
0
8
8
8
8
8
8
0
0
0
0
0
8
0
0
0
0
0
8
0
0
8
0
0
0
0
0
0
8
0
0
0
0
0
0
0
16
8
0
0
16
2
2
0
0
0
8
8
0
0
16
1
4
4
16
16
0
32
0
0
8
16
0
0
4
4
4
4
4
0
0
16
0
0
0
0
16
8
8
0
0
4
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
4
8
16
0
0
0
0
0
0
0
0
0
0
8
24
8
0
0
4
4
0
0
0
0
0
16
8
0
0
0
0
0
0
2
0
0
2
2
8
0
0
16
16
16
16
0
4
0
0
0
16
0
8
8
16
0
0
0
1
2
0
0
0
0
0
1
1
1
0
1
0
0
0
0
0
0
2
2
0
8
0
0
0
24
24
24
0
0
0
0
1
1
1
1
0
0
8
4
0
18
25
16
0
0
0
0
0
0
0
0
16
0
0
18
0
0
0
16
16
8
0
9
0
1
0
0
2
26
26
0
0
16
16
4
0
0
0
2
2
0
0
0
0
0
0
0
0
8
16
16
16
0
2
8
2
33
33
33
0
0
40
0
8
8
0
0
0
8
8
0
0
0
0
0
0
16
0
0
0
0
0
8
0
0
0
0
0
0
2
0
8
8
8
8
8
8
8
0
10
0
0
1
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
8
2
2
2
0
16
16
16
0
8
0
0
0
0
0
0
8
8
2
2
2
0
0
0
0
50
0
4
16
16
0
0
4
41
8
0
0
8
8
0
0
0
0
0
4
10
0
4
25
8
8
16
0
0
0
0
0
0
8
8
16
0
16
0
0
0
0
0
0
0
0
1
0
0
0
32
32
0
0
48
0
0
0
0
4
0
0
0
0
0
0
0
8
0
0
40
8
16
0
2
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
4
4
0
32
32
0
0
4
0
0
0
0
16
0
0
8
8
8
0
0
8
0
0
0
8
8
8
0
0
4
4
4
1
4
4
4
16
0
0
0
16
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
4
24
8
8
8
8
0
8
0
0
0
0
16
0
0
0
0
20
0
2
0
1
16
0
16
0
0
16
4
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
24
8
17
0
0
28
0
0
0
16
8
0
0
0
0
0
8
0
0
0
0
0
0
4
0
0
0
0
20
12
25
0
0
0
8
18
0
0
0
0
0
0
4
12
12
12
8
8
1
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
8
8
0
0
0
4
8
8
0
0
2
8
0
8
8
8
8
0
4
1
1
8
8
8
0
0
24
0
0
0
16
0
0
0
0
8
0
0
0
0
8
0
4
4
12
4
8
0
24
4
0
8
8
8
8
0
0
0
4
4
0
0
0
0
0
0
0
0
0
0
4
0
0
4
0
0
16
16
0
28
9
0
4
32
2
32
32
0
0
0
0
0
16
1
2
0
0
0
0
0
0
0
0
0
8
8
8
4
0
0
0
0
0
0
0
0
0
0
16
0
4
0
0
0
12
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
9
0
16
8
8
0
0
16
1
1
1
0
0
16
16
16
16
0
0
24
8
8
8
8
8
8
0
0
32
2
26
4
0
0
1
0
32
32
0
0
0
0
0
0
4
4
9
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
0
2
8
0
16
16
0
1
28
8
8
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
16
16
16
0
0
0
4
0
0
0
17
17
0
0
0
0
0
0
0
8
0
24
16
16
0
0
0
0
8
0
0
0
0
0
4
24
8
0
4
4
4
4
0
0
0
0
8
4
1
0
0
0
0
0
0
4
4
0
0
0
4
0
8
8
8
8
4
0
0
0
0
0
0
0
16
4
0
0
0
1
24
0
12
0
0
2
2
0
2
8
8
8
0
0
16
16
16
16
0
28
0
0
0
0
1
1
18
2
8
0
24
16
4
0
8
0
0
0
0
0
3
3
0
12
0
0
1
0
0
0
0
13
16
0
4
32
32
4
4
12
8
4
32
32
0
8
0
8
0
0
0
0
0
16
16
0
8
12
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
8
8
0
16
16
16
0
17
16
0
0
0
0
0
0
0
0
8
0
0
8
16
0
16
0
0
0
0
0
0
0
0
0
0
8
24
1
8
0
0
0
0
0
8
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
8
0
16
0
2
8
0
0
0
8
0
0
16
0
0
0
0
0
0
2
2
1
0
0
10
1
1
8
8
2
2
2
0
0
0
0
16
0
0
0
16
8
24
0
0
8
8
0
0
0
16
0
16
0
16
0
0
0
0
0
8
8
0
0
0
8
8
8
10
0
0
0
0
0
16
0
0
0
24
0
0
4
1
0
40
40
40
0
0
0
0
8
8
8
24
24
8
7
1
0
0
0
8
8
8
0
0
0
4
0
1
0
0
16
0
16
16
16
16
8
16
16
16
16
16
16
16
1
1
16
16
0
7
4
8
2
2
0
4
0
0
8
16
0
0
0
0
4
16
16
16
16
16
2
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
16
0
0
0
0
0
4
16
1
0
0
8
0
0
0
0
0
8
0
8
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
8
8
8
8
17
8
8
8
0
0
0
8
4
16
4
4
4
0
20
0
8
8
8
0
0
0
0
0
20
16
24
24
8
0
0
0
0
0
0
0
0
8
8
8
8
0
0
0
0
0
0
4
0
0
0
0
0
0
16
16
16
16
0
0
1
4
0
0
8
0
0
0
0
0
0
8
8
8
8
8
8
8
0
0
0
0
8
8
0
0
8
32
0
0
0
0
4
16
16
24
0
0
8
0
40
0
8
8
0
0
8
8
0
0
8
0
20
0
0
52
0
0
2
17
17
16
8
8
8
8
8
0
0
0
0
8
0
0
8
0
16
0
4
4
16
0
0
16
16
2
2
0
0
0
0
0
0
0
0
0
16
16
0
24
32
32
0
8
0
0
16
0
0
28
28
28
28
0
4
0
4
0
0
8
8
8
16
8
8
0
0
0
0
8
0
9
9
0
0
8
0
0
16
18
18
8
9
0
8
8
8
8
16
0
8
16
0
0
0
0
0
0
4
4
0
0
0
24
0
0
1
1
0
0
4
0
0
0
16
16
16
0
4
22
22
1
0
0
0
16
0
0
22
0
0
0
0
9
0
0
0
0
0
0
16
0
0
0
16
21
21
8
8
0
0
0
0
0
0
10
8
0
0
0
8
8
0
26
26
8
8
8
8
0
0
0
0
0
0
0
0
2
16
16
1
0
0
0
0
0
8
0
0
16
0
0
0
0
8
0
0
0
0
0
8
4
0
0
8
8
8
0
0
0
8
3
0
27
27
8
8
0
0
0
0
0
8
8
1
1
0
24
24
0
0
0
0
0
1
1
2
18
0
8
8
0
0
0
0
0
0
0
16
18
18
8
8
8
8
4
0
0
0
0
0
8
8
0
0
0
4
0
0
0
0
0
0
0
16
0
0
0
0
8
4
4
0
0
25
0
0
0
16
0
0
0
0
0
0
0
0
16
8
0
0
0
0
0
0
0
0
0
24
4
16
0
5
5
0
0
0
8
8
25
8
0
0
0
0
4
0
0
2
0
0
0
8
16
0
0
0
0
0
0
0
8
8
32
0
0
1
0
0
0
0
8
0
0
0
0
0
0
16
8
8
2
0
1
0
8
0
16
0
24
0
0
0
2
2
0
0
0
1
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
25
0
0
0
0
0
8
8
0
0
0
0
0
0
0
8
8
12
12
0
0
8
8
24
8
16
9
2
0
0
0
20
2
0
0
0
0
0
0
0
0
0
0
8
16
0
0
0
0
0
2
0
0
0
8
0
0
0
0
36
4
0
0
0
0
17
0
0
0
0
8
8
2
17
0
18
18
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
8
0
16
0
49
4
4
0
0
0
0
0
8
0
16
0
0
5
24
24
24
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
4
4
0
0
0
0
0
0
0
0
0
4
4
4
0
0
0
0
0
0
4
1
1
1
0
0
0
0
0
0
0
4
16
48
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
16
8
8
0
0
0
8
16
0
0
4
0
0
0
0
0
16
1
0
0
0
0
2
48
0
0
16
24
8
1
16
16
17
2
0
0
0
4
0
0
4
0
0
0
16
0
1
0
0
0
1
1
16
16
16
16
16
16
8
8
8
0
0
8
1
1
8
16
8
56
8
0
0
0
8
2
2
0
0
0
4
8
4
24
0
16
0
0
8
0
0
16
0
0
0
8
8
8
0
0
24
8
8
8
8
8
18
8
3
3
0
0
8
0
0
0
2
9
1
24
8
16
4
8
0
0
0
8
8
0
8
8
8
8
0
32
0
0
0
17
8
0
0
0
0
9
9
0
0
0
4
4
4
4
16
16
8
0
0
58
0
0
4
8
8
16
0
24
4
4
2
2
2
2
2
2
2
0
0
0
1
8
0
16
4
0
0
0
8
0
0
8
4
4
4
4
4
8
0
0
4
0
8
8
0
0
0
0
16
1
8
8
0
0
0
0
0
32
0
16
8
1
16
0
8
8
8
8
8
8
8
0
0
0
0
52
52
0
24
8
8
8
0
1
4
0
0
0
18
0
0
0
0
0
16
0
1
0
8
4
4
0
16
0
8
4
16
16
0
0
8
16
16
0
0
8
12
12
0
8
8
0
0
0
8
8
8
0
3
8
8
0
0
24
0
0
0
8
1
1
8
0
0
0
0
8
4
8
0
1
4
0
0
0
8
8
8
57
57
0
0
1
8
12
0
0
4
0
8
0
4
4
16
16
8
16
24
8
8
16
16
16
16
17
0
0
0
8
0
0
16
16
16
0
0
1
0
20
0
0
8
8
0
16
0
0
8
2
8
24
24
24
24
24
12
12
0
16
20
10
0
0
8
0
8
8
0
0
0
0
4
0
0
0
1
8
18
0
0
0
8
8
8
0
0
0
0
24
0
0
0
8
8
8
8
0
0
0
0
16
0
0
8
8
32
0
0
0
0
0
2
0
0
8
0
8
8
8
8
16
8
24
0
1
1
1
1
0
24
24
0
0
16
10
10
10
1
0
4
4
4
4
4
16
9
2
0
8
4
8
4
0
0
0
16
16
16
16
16
6
4
8
0
16
0
0
8
0
0
0
16
8
8
8
8
0
0
8
16
16
16
16
16
16
16
0
0
1
1
0
0
0
2
0
0
24
4
0
0
0
0
2
0
0
0
0
4
4
4
4
4
0
4
0
0
8
0
16
16
12
8
22
0
0
0
16
0
0
4
8
16
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
8
8
0
4
24
9
1
1
9
0
0
32
4
1
8
0
8
8
4
0
0
1
0
52
52
52
52
16
0
8
8
30
0
0
0
0
0
12
16
8
8
24
24
0
0
8
8
8
0
0
8
0
8
8
8
4
0
0
16
0
8
20
20
16
16
0
4
8
16
2
0
8
8
8
8
8
8
0
0
0
4
16
8
8
1
1
0
0
4
4
4
0
8
8
8
8
0
8
8
0
8
8
1
0
0
21
0
8
8
0
4
4
0
0
2
2
0
0
0
0
0
8
0
2
24
24
8
0
0
32
0
0
16
16
16
0
0
0
0
0
0
0
16
8
8
8
8
0
8
8
8
0
0
8
8
0
0
0
0
2
2
16
0
18
1
1
1
16
0
0
0
8
8
0
4
0
2
2
0
8
8
8
0
0
0
0
0
8
0
2
0
0
4
5
0
16
8
0
0
35
35
20
0
8
16
16
16
0
8
8
16
24
0
8
0
0
8
20
20
8
8
0
0
16
16
16
16
56
0
16
16
32
0
0
8
0
0
0
0
0
24
1
1
1
1
1
0
8
16
16
8
28
28
0
8
0
0
0
4
0
8
16
2
8
8
4
0
0
0
0
8
8
0
0
0
4
4
8
8
8
0
0
0
16
0
0
0
0
0
0
8
1
8
0
17
17
0
0
0
0
0
0
0
0
0
0
0
0
8
0
2
4
4
4
0
0
16
0
0
0
8
0
1
8
0
24
8
8
4
2
0
0
33
8
8
8
33
8
1
8
8
8
8
8
8
0
0
0
10
1
2
0
8
16
3
16
16
0
0
0
0
0
0
4
0
5
5
8
0
8
2
0
4
10
0
0
0
16
8
0
22
1
0
0
0
0
0
4
0
0
0
4
4
24
0
0
0
8
0
0
4
4
4
0
8
8
8
10
0
0
0
0
0
0
0
0
0
8
0
0
0
0
16
16
16
4
1
0
0
8
12
12
2
2
2
0
0
0
0
0
8
0
8
4
0
0
0
0
32
0
0
16
0
10
0
0
8
8
8
12
24
8
17
17
17
16
16
1
1
1
1
0
0
0
0
0
2
0
0
8
8
8
8
8
0
8
0
0
4
8
8
8
8
4
8
8
2
2
2
2
0
0
8
24
24
8
8
8
8
8
8
0
10
0
8
0
8
8
0
0
0
1
1
0
8
0
8
8
8
8
8
0
1
0
32
16
16
8
8
8
0
0
0
8
32
32
0
8
16
16
22
22
1
1
1
4
0
0
0
0
0
0
0
8
0
16
0
0
0
16
16
0
8
0
0
0
16
2
0
12
12
12
0
8
8
8
16
4
4
4
0
0
8
0
8
2
2
2
0
0
0
0
0
0
0
1
1
0
0
0
8
8
9
0
0
0
2
16
16
16
0
0
9
9
9
0
16
16
0
0
0
0
0
0
0
8
8
8
2
2
2
2
2
2
0
0
0
0
24
0
0
0
6
2
4
0
0
0
0
0
0
1
1
1
8
0
0
0
5
8
8
1
0
0
0
0
0
8
8
8
0
0
18
8
8
16
16
16
0
0
0
4
9
0
0
0
0
8
0
8
8
8
0
8
8
4
0
0
2
2
2
0
16
0
0
8
8
0
0
0
0
0
0
0
0
8
0
4
20
20
8
0
8
0
21
4
8
8
8
0
0
0
16
8
1
16
16
8
0
24
8
0
0
0
0
0
18
0
0
0
25
17
2
8
0
8
8
0
8
0
0
0
8
4
4
4
8
2
1
0
16
4
4
4
4
4
4
0
4
1
2
8
8
16
16
8
8
0
0
8
0
1
24
8
0
8
8
8
0
0
8
8
2
2
0
0
0
4
16
0
2
2
2
2
2
2
2
0
0
0
8
0
0
8
8
4
0
16
16
2
2
8
16
16
8
0
8
8
24
24
4
8
8
0
0
10
2
0
8
0
16
8
0
0
0
0
0
4
24
0
2
8
0
24
0
38
16
1
1
0
8
0
1
2
0
1
32
8
1
4
4
9
4
5
0
0
4
4
17
0
1
16
0
4
0
0
0
24
8
8
8
8
12
8
8
0
0
0
8
8
8
8
4
0
0
0
8
8
0
0
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
2
0
0
8
0
0
32
8
8
0
16
8
2
8
4
4
0
0
0
0
0
8
0
0
0
16
8
8
0
8
8
0
16
0
8
0
0
0
0
0
9
9
0
28
2
0
1
8
1
0
16
1
8
0
8
16
4
4
4
4
0
0
8
8
8
8
0
8
8
8
20
20
20
16
16
8
1
0
8
8
8
8
0
4
4
56
12
0
0
0
0
18
0
16
16
8
8
8
8
0
0
0
0
36
0
8
0
0
0
8
0
8
8
0
0
4
0
0
8
0
0
0
0
8
0
0
4
4
12
8
8
8
8
0
0
0
0
0
16
16
16
16
24
16
0
0
2
0
0
0
0
0
0
0
8
8
0
0
4
0
0
8
0
16
16
9
9
0
0
0
0
0
16
16
8
0
0
0
18
8
8
0
0
1
8
32
0
0
0
0
0
0
8
8
32
32
32
40
0
0
24
24
24
8
0
0
0
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
8
1
1
1
0
16
0
16
8
8
8
8
8
8
0
0
8
8
1
1
1
1
1
1
1
0
0
9
9
9
0
8
0
0
8
8
8
8
16
16
16
0
0
0
8
0
8
8
8
8
0
24
8
8
16
6
6
2
16
8
0
0
0
0
0
1
0
0
0
0
52
8
8
33
4
0
0
0
8
4
4
0
0
0
16
8
0
13
0
0
0
0
8
8
8
8
8
8
18
8
8
8
0
0
4
0
20
20
20
20
20
20
20
0
0
0
8
0
4
4
0
8
16
16
8
17
16
16
16
0
0
0
0
0
0
0
0
16
25
16
16
16
9
0
0
0
16
16
16
16
4
4
0
8
1
0
0
0
16
0
8
0
2
2
2
8
8
8
21
21
21
0
0
8
8
0
4
8
0
4
2
0
8
0
0
0
0
8
12
12
8
0
0
0
0
0
0
8
8
8
8
16
0
0
10
10
0
0
0
0
0
0
0
0
0
8
8
16
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
6
0
8
8
20
1
1
1
1
16
8
16
0
8
8
8
0
0
0
8
8
8
8
8
8
8
0
0
18
18
0
2
8
0
0
48
8
4
4
4
0
0
0
8
0
0
0
0
0
0
0
1
0
3
8
0
4
0
0
0
0
0
0
0
0
0
0
0
4
4
0
16
0
16
8
0
8
0
0
8
0
0
16
2
18
0
0
8
8
16
0
0
0
8
0
0
8
8
1
1
0
8
8
16
16
16
0
16
0
8
8
0
0
8
0
16
0
0
0
1
8
8
8
16
16
0
0
1
0
0
0
0
0
1
0
0
0
8
2
8
0
0
0
10
1
1
8
16
8
8
8
0
0
4
4
4
4
4
8
2
2
0
0
8
16
16
40
8
8
4
0
0
16
16
8
8
0
8
8
0
0
0
0
8
8
0
0
0
0
16
16
2
8
8
0
0
8
32
32
4
4
0
2
0
0
8
8
2
0
8
8
8
0
2
2
2
16
16
0
0
4
4
4
4
8
24
33
1
32
0
32
32
32
32
32
0
16
16
16
0
8
8
8
8
8
12
12
8
8
0
16
0
0
32
16
0
0
0
1
16
0
0
0
1
0
0
8
8
8
2
0
0
0
0
0
0
55
55
55
0
0
0
0
0
0
8
24
0
0
6
4
0
16
16
16
16
0
0
10
1
1
1
1
0
0
0
16
0
0
0
0
16
0
16
0
8
8
0
8
0
0
0
0
0
0
8
8
8
8
8
24
0
0
0
0
0
0
0
1
1
1
8
17
0
2
8
1
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
1
16
0
0
0
0
0
16
0
0
8
8
0
60
0
0
20
0
0
0
17
8
8
8
0
0
0
8
0
0
8
1
0
0
0
0
8
0
4
4
0
8
8
0
0
2
2
0
16
4
8
8
8
0
8
8
8
8
8
0
0
20
0
0
4
18
0
0
8
2
0
0
34
16
16
4
4
4
0
0
8
8
4
4
8
0
32
1
0
0
0
0
0
3
16
3
2
0
20
20
0
0
0
0
0
0
1
1
1
1
1
20
0
0
8
0
0
0
0
0
1
1
1
1
1
1
16
0
0
0
2
1
0
0
0
8
0
0
0
4
4
0
16
16
16
8
0
16
0
0
8
8
8
8
8
0
0
8
8
8
0
16
8
8
16
16
2
2
2
8
8
0
0
0
0
8
0
0
3
8
8
2
2
0
16
16
16
0
0
8
0
0
0
25
0
8
9
10
10
10
0
16
16
27
27
8
8
4
8
8
8
8
0
0
0
0
0
8
8
0
0
2
0
0
0
8
8
8
0
0
0
0
0
0
8
8
8
0
0
0
8
8
8
0
18
8
8
0
10
0
16
16
0
8
8
8
8
8
8
0
2
0
0
8
8
8
8
8
8
0
2
16
16
16
2
8
8
0
0
16
0
0
0
8
0
2
0
0
0
0
0
20
20
0
0
0
0
8
4
8
16
0
2
1
0
8
0
0
9
0
0
0
0
25
0
16
16
2
32
2
0
13
0
0
0
0
1
2
0
4
0
0
0
0
26
26
0
0
2
0
0
0
0
17
17
0
8
8
0
8
2
1
0
8
0
0
8
0
0
0
16
8
16
8
10
16
8
8
0
0
12
8
0
0
0
0
8
8
8
8
8
8
0
4
16
16
16
16
16
16
0
16
0
0
0
0
0
0
0
0
0
16
0
0
16
8
3
3
3
8
0
8
16
16
0
4
0
10
41
0
0
16
8
4
0
0
0
0
0
20
16
0
8
9
1
1
1
0
0
0
16
16
16
0
0
0
16
2
2
2
8
0
8
8
8
8
8
8
0
0
0
0
0
17
0
24
32
32
0
0
0
0
0
8
16
16
16
16
1
8
8
0
0
0
8
8
8
16
16
16
0
16
0
8
16
0
0
8
0
0
8
0
0
0
0
0
0
24
8
16
0
8
8
8
0
0
0
2
2
0
4
4
0
0
8
8
0
0
0
0
10
4
16
8
8
8
8
8
8
2
0
0
0
8
4
0
0
16
0
8
8
0
8
0
1
8
16
16
0
0
0
0
0
1
0
2
2
0
48
0
1
2
2
0
0
20
0
0
4
8
8
8
8
16
24
0
8
16
0
0
0
4
0
1
0
12
12
24
24
24
0
0
0
0
0
0
8
8
0
4
0
0
0
4
4
8
4
0
2
2
8
8
32
0
0
0
0
0
16
8
8
16
0
8
0
8
0
8
0
22
0
0
8
2
2
0
0
4
4
4
2
28
0
0
24
2
2
28
0
0
0
9
17
8
1
4
4
25
0
16
0
8
8
8
0
0
0
8
0
0
0
0
0
2
2
16
0
8
0
0
4
8
8
0
0
6
0
0
8
6
0
1
8
8
8
8
32
0
0
0
0
4
16
61
0
0
0
0
1
1
1
1
1
1
1
17
17
8
0
0
0
4
4
4
6
0
0
4
8
16
16
0
0
0
0
16
6
0
0
0
0
0
24
24
16
24
0
16
16
0
0
0
0
0
16
8
8
8
0
8
12
6
0
0
24
16
8
32
0
18
16
7
16
1
0
4
4
8
20
8
8
4
8
0
0
0
0
8
0
16
20
20
20
0
0
0
17
1
1
32
8
0
16
8
16
8
0
0
0
0
0
0
8
8
1
32
1
1
1
1
16
16
16
16
16
4
3
0
0
0
4
0
0
0
0
0
8
0
0
0
0
0
0
16
4
16
0
28
16
0
8
0
0
0
8
8
8
8
8
0
1
1
0
1
0
0
0
16
0
0
8
8
0
1
0
8
8
0
8
8
4
16
6
6
16
16
0
22
8
8
8
0
0
57
16
16
8
8
8
4
4
16
16
16
16
0
12
0
0
0
2
8
8
8
8
8
2
2
0
16
1
0
0
0
0
0
0
8
8
1
1
0
0
0
1
8
8
0
16
16
16
16
8
8
8
0
0
8
0
0
49
16
0
0
4
0
0
0
20
20
0
0
16
0
0
0
0
16
0
0
1
1
1
8
0
0
1
8
8
8
0
16
16
0
0
16
16
0
0
0
0
8
4
0
8
8
8
8
8
8
8
8
8
16
0
0
8
8
8
8
8
8
8
8
8
8
0
0
0
0
8
0
16
0
0
0
16
0
0
0
0
8
8
8
0
8
8
0
0
4
0
1
8
4
8
1
0
0
0
16
16
16
37
0
0
8
8
8
8
0
24
0
0
0
0
16
16
16
0
0
0
0
0
0
4
0
0
0
8
8
0
6
16
2
8
8
8
8
24
8
0
16
8
8
8
8
0
40
40
40
0
16
16
2
0
0
4
4
16
0
0
0
0
2
18
8
0
0
0
4
28
0
0
0
8
8
0
8
1
1
0
8
0
40
0
0
0
0
8
0
0
0
0
8
0
0
16
0
8
16
0
0
1
8
0
16
16
0
0
0
0
0
0
0
0
0
16
8
16
0
0
0
16
2
16
16
8
12
0
16
0
22
0
0
0
0
0
1
0
18
0
6
6
16
16
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
16
16
0
1
0
26
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
9
2
16
16
16
16
0
16
8
0
1
0
0
0
0
0
0
0
8
0
0
0
0
0
8
8
4
16
16
0
0
0
0
0
0
0
0
4
8
0
16
16
0
0
16
16
16
0
24
8
0
0
4
16
16
0
4
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
6
0
0
0
8
0
0
0
0
0
16
16
0
0
0
0
8
16
0
0
16
16
16
8
8
0
0
0
0
0
0
16
0
16
0
8
8
0
24
8
0
30
4
4
26
24
24
24
0
0
0
8
16
16
0
0
0
0
0
0
0
0
2
0
0
8
0
0
40
8
8
8
8
4
0
0
8
8
8
12
4
8
0
0
8
8
0
16
16
16
8
0
2
2
0
0
8
8
0
6
8
0
0
8
3
16
4
4
4
0
0
8
0
0
0
2
26
16
32
0
0
8
0
0
1
8
0
0
8
8
0
8
8
1
0
0
0
0
0
0
9
9
8
4
0
8
0
0
0
2
2
0
24
16
16
2
8
8
8
8
16
0
0
0
8
8
8
0
8
8
0
1
1
1
0
1
0
8
0
0
16
16
16
4
32
0
16
0
16
16
8
8
0
0
0
1
4
0
16
16
16
0
0
0
0
0
16
0
0
0
0
16
0
0
0
0
0
0
8
8
8
0
20
20
0
1
2
2
16
0
0
0
8
0
0
8
8
2
2
16
0
8
8
0
16
1
4
4
0
0
0
0
0
0
8
0
0
0
8
8
5
0
0
16
0
2
16
12
12
8
8
0
0
16
16
20
8
8
18
0
0
14
14
16
0
1
1
1
0
5
8
0
0
0
8
8
0
4
1
0
0
0
2
0
0
0
0
0
0
8
32
0
0
0
0
0
6
6
1
2
8
8
16
16
0
0
0
0
8
0
20
20
2
16
0
8
8
8
4
16
1
8
1
16
0
8
8
1
8
8
8
8
8
20
8
8
16
0
0
8
8
8
33
0
0
0
8
8
8
8
8
8
0
0
0
0
8
8
0
0
8
0
8
8
8
0
16
24
8
8
0
1
8
8
8
8
8
8
0
8
8
8
4
0
0
16
0
0
0
0
16
1
8
0
20
16
0
0
0
6
1
1
0
0
8
12
2
2
0
0
2
24
0
0
16
0
0
0
0
0
0
16
16
6
0
0
0
0
1
32
0
0
8
0
0
0
0
0
0
0
0
0
16
0
0
0
8
16
16
0
49
18
0
0
0
0
0
8
0
16
25
2
0
0
8
8
4
8
8
1
19
0
8
8
8
1
1
0
0
0
0
8
8
0
18
16
1
4
21
21
0
0
8
0
0
16
16
6
16
24
16
0
0
4
4
0
0
8
0
0
52
8
1
0
4
20
8
0
59
2
2
0
0
0
8
8
0
0
8
2
8
0
0
4
8
8
8
8
16
0
0
2
1
0
16
8
0
0
8
0
2
0
16
16
4
0
0
0
9
9
6
0
0
34
16
0
8
16
16
0
0
0
16
0
22
8
0
0
0
0
0
2
0
0
0
0
1
8
0
0
0
16
16
16
0
0
8
32
24
16
8
8
0
2
2
8
8
18
0
8
0
8
0
0
0
1
0
0
0
0
0
0
0
16
0
0
0
0
8
8
8
0
8
0
0
0
0
0
0
16
16
16
16
16
16
12
8
16
1
16
8
0
0
1
1
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
4
21
0
0
8
16
0
17
1
0
0
0
3
16
16
16
4
8
0
0
4
4
0
8
0
0
0
0
0
8
8
8
8
8
0
16
16
0
24
0
8
8
0
0
8
8
0
8
8
8
8
0
0
0
0
24
16
16
16
16
0
2
9
0
0
0
0
0
0
0
0
0
4
8
0
0
0
8
8
8
0
0
0
0
0
0
1
1
1
1
0
4
0
18
2
32
8
0
0
0
0
2
8
8
8
16
16
8
8
28
8
8
8
8
0
0
0
2
2
0
0
16
16
0
0
1
0
48
9
9
0
0
2
2
2
2
0
1
1
16
0
16
20
32
32
32
0
0
0
0
1
0
8
0
8
8
0
0
0
0
0
0
8
0
0
0
0
4
0
0
8
0
0
0
0
0
1
2
8
8
8
8
16
0
4
0
16
20
20
1
0
0
0
0
0
0
16
0
0
0
8
1
1
24
0
0
0
0
0
17
17
17
24
0
0
0
0
0
0
10
2
0
0
8
10
8
8
0
0
24
0
4
28
10
0
2
16
28
8
9
0
0
0
0
0
2
9
24
8
8
0
0
1
1
12
8
18
2
1
1
1
8
8
1
0
16
4
0
4
8
0
0
24
8
2
0
0
0
0
0
18
12
12
0
0
0
0
0
0
4
8
2
16
8
0
0
0
0
0
1
1
16
0
0
0
16
0
0
16
0
0
0
1
1
4
1
0
0
16
4
8
2
0
16
16
12
0
0
12
0
24
0
0
8
1
0
8
0
0
4
8
8
0
8
0
0
4
4
4
1
8
12
40
0
16
8
0
0
0
16
8
0
57
0
4
4
4
16
8
0
0
0
12
12
0
16
0
0
16
16
0
0
0
0
0
18
18
0
8
0
2
8
8
0
0
8
8
1
0
1
1
0
0
0
16
0
0
0
8
0
16
8
0
0
0
8
0
12
0
0
4
8
0
0
8
8
8
0
0
0
0
0
2
0
0
1
0
8
0
4
0
0
0
8
8
16
0
0
1
16
16
16
0
9
8
17
4
0
0
1
0
0
0
0
0
8
8
4
2
0
0
4
8
8
0
0
0
0
16
16
12
0
0
0
8
0
0
0
16
16
16
16
8
8
4
4
0
0
0
4
8
8
8
0
0
4
4
4
0
0
0
8
0
8
0
0
8
8
1
0
8
0
1
1
1
0
0
0
0
0
0
0
0
8
8
8
8
8
8
8
8
0
0
32
1
1
0
0
2
0
0
0
8
16
8
4
4
0
8
8
0
0
8
16
16
16
0
0
0
0
0
8
8
0
8
16
9
9
0
0
16
16
0
0
8
0
0
0
0
0
18
4
8
0
4
16
48
48
0
0
16
16
0
0
0
0
2
8
8
0
16
16
0
2
0
0
0
8
8
0
0
0
0
0
0
16
16
0
0
8
8
0
0
1
1
16
2
16
16
1
2
0
0
8
8
0
0
0
16
0
0
0
32
4
0
6
6
4
8
0
0
8
0
38
38
0
0
16
1
0
0
0
0
1
0
1
0
16
8
0
4
4
4
4
4
8
8
4
4
4
1
0
0
0
0
0
0
0
0
0
0
0
8
24
24
24
16
16
0
0
8
0
0
8
32
1
16
16
16
1
0
0
0
0
8
8
8
8
10
0
0
24
1
0
8
36
24
8
8
0
0
0
8
16
16
17
16
0
0
8
8
8
8
0
0
0
0
4
4
0
0
0
0
0
0
0
0
8
0
0
0
0
16
2
22
22
22
22
18
0
8
8
8
8
24
0
8
0
8
0
0
0
0
0
0
0
0
0
0
8
8
4
16
0
0
0
8
16
24
8
8
16
16
8
16
16
0
0
0
0
50
10
0
0
0
16
0
9
0
0
16
0
4
4
0
8
0
0
0
8
26
8
0
0
16
0
25
0
0
8
8
8
0
24
4
0
0
4
4
16
0
48
2
2
2
17
8
8
0
0
0
4
0
0
0
4
4
4
0
0
0
0
0
0
8
10
0
0
0
8
8
0
0
0
18
0
4
0
8
0
0
0
0
8
0
8
8
8
0
20
20
0
4
0
0
8
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
22
1
0
0
8
8
8
40
40
40
0
0
8
16
16
16
16
0
0
8
0
1
0
0
2
8
0
0
16
8
16
0
0
1
0
8
8
34
2
8
0
36
4
3
0
0
4
4
14
14
0
8
0
2
16
16
0
8
25
25
32
2
0
16
16
0
0
4
24
0
1
1
1
1
8
16
0
16
24
24
8
8
8
24
0
8
0
0
0
16
0
0
0
0
0
0
0
8
8
0
0
0
0
33
8
8
16
4
4
8
8
0
0
0
24
0
0
0
4
0
0
0
0
0
0
0
8
4
8
8
24
0
0
4
0
0
8
0
0
0
8
8
16
16
0
8
0
0
22
0
0
20
4
1
1
0
0
5
0
8
0
0
0
9
0
16
16
4
0
0
0
0
0
16
0
0
0
4
0
8
8
0
4
4
0
0
4
0
0
0
0
0
0
8
0
0
0
0
0
32
8
8
8
8
8
8
0
0
17
0
0
0
0
1
0
0
0
0
0
2
2
0
8
8
20
17
1
1
0
0
0
16
16
36
0
20
20
4
8
0
2
2
2
8
19
0
0
0
8
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
24
0
0
0
4
8
0
0
0
0
0
0
0
4
0
8
0
0
16
8
0
0
0
0
1
1
0
0
19
0
0
0
17
0
0
0
0
0
0
2
2
0
0
4
1
8
0
0
0
8
8
0
0
2
0
0
0
0
8
0
0
0
0
16
0
0
4
0
0
0
8
8
0
0
0
16
6
6
0
0
0
2
2
0
0
4
4
0
0
0
8
0
0
1
1
2
2
4
0
0
0
0
0
16
16
16
16
16
16
16
0
20
0
8
16
16
0
0
16
0
16
4
0
16
8
0
0
0
16
16
16
0
0
1
0
0
20
20
20
0
0
4
4
0
0
8
0
0
0
0
0
2
2
0
8
1
0
0
24
24
4
0
0
2
0
0
0
0
0
0
0
0
0
0
16
9
1
1
1
1
1
0
0
0
16
6
16
0
0
0
0
0
0
4
8
24
0
4
8
1
1
0
0
0
0
0
0
8
16
0
16
0
8
8
0
24
16
8
0
0
0
16
16
16
0
0
0
8
0
0
8
16
49
0
8
8
9
0
16
8
4
2
0
0
0
4
0
8
0
0
0
8
4
0
0
0
25
0
0
0
0
0
8
16
16
8
0
16
16
9
4
16
8
8
8
0
4
0
0
0
10
8
0
0
0
0
0
4
0
0
0
0
8
8
0
16
0
0
0
0
0
0
0
0
16
0
0
16
16
24
0
16
0
0
0
0
0
8
8
8
8
0
17
17
0
0
0
32
0
0
0
1
0
12
0
0
8
8
2
2
2
0
16
16
32
16
0
0
16
0
8
8
0
0
8
8
8
0
0
0
0
0
0
0
0
0
8
8
0
0
0
32
2
2
2
0
16
8
8
8
8
4
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
16
8
0
0
0
2
0
0
8
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
2
0
0
1
8
8
9
8
8
0
8
13
0
0
2
8
0
8
0
0
8
8
0
8
0
0
0
1
0
0
0
0
0
8
8
8
20
0
0
0
0
16
0
0
0
17
8
0
8
0
8
4
17
17
0
17
12
1
1
1
0
0
0
0
1
0
0
8
0
0
0
0
8
8
8
8
0
0
16
0
0
0
0
8
0
0
8
0
18
17
16
20
0
0
16
4
4
8
16
8
8
8
0
8
16
16
1
1
0
0
2
0
0
1
1
0
0
0
0
8
8
17
0
1
16
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
56
56
4
8
0
4
4
4
0
16
4
8
4
0
0
0
0
0
24
8
8
8
8
0
4
8
0
0
0
0
0
0
0
0
0
0
0
0
0
32
4
4
0
0
16
8
0
32
32
0
1
0
0
0
4
4
4
0
0
0
8
4
4
0
0
0
0
0
0
0
0
0
2
0
16
0
0
0
0
0
0
0
0
0
40
0
0
4
16
0
0
0
0
8
0
0
0
0
8
8
8
8
0
8
1
1
0
0
16
16
0
0
16
4
4
8
8
0
0
0
1
1
36
0
0
0
0
0
24
24
24
24
4
4
4
4
4
16
16
16
24
4
0
8
8
0
0
0
14
16
1
6
0
0
0
0
4
4
4
0
8
0
0
0
0
0
0
24
0
0
8
16
16
16
16
16
16
24
0
0
8
8
8
8
0
0
19
0
0
4
0
0
4
4
0
3
33
33
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
16
16
16
0
0
20
0
0
0
0
16
0
0
16
16
16
40
0
8
4
0
0
16
8
0
0
0
8
4
0
16
8
24
0
2
2
2
16
0
0
0
0
0
0
0
6
6
8
8
8
8
8
0
0
8
8
4
8
16
16
17
0
4
0
0
4
16
32
0
0
0
0
0
0
48
4
1
0
0
0
32
0
0
0
0
6
12
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
7
0
8
4
4
0
2
2
0
0
0
10
24
8
16
0
0
0
49
8
0
0
0
8
1
1
20
0
4
0
0
0
0
8
0
16
20
4
4
4
0
0
24
24
22
0
0
0
0
0
18
17
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
18
8
16
0
0
0
0
0
4
24
4
4
4
4
0
30
9
0
16
8
0
32
0
0
0
0
0
0
0
2
8
16
20
8
48
0
3
8
16
16
8
16
0
0
0
0
0
2
0
0
4
0
0
8
8
8
0
0
0
0
0
4
0
16
8
0
0
0
0
0
0
20
12
15
15
0
1
8
8
0
0
0
36
0
0
0
0
0
4
0
0
8
8
8
8
0
0
2
4
0
0
0
4
0
8
1
4
16
0
0
16
0
16
0
0
0
16
24
0
8
8
0
8
16
0
2
2
4
0
0
0
0
0
8
0
0
0
0
0
0
0
16
5
16
4
1
0
0
0
16
0
16
0
1
1
1
0
0
0
8
16
4
4
0
0
8
0
2
9
16
0
0
0
0
0
0
0
0
0
4
1
1
1
0
0
0
24
0
1
1
1
8
8
8
0
4
16
12
8
0
4
0
0
16
12
8
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
8
32
8
23
23
23
16
0
0
0
5
0
22
22
22
8
0
0
0
8
0
0
0
0
0
20
20
20
0
0
16
0
0
0
0
2
2
0
0
0
33
0
0
0
0
0
0
24
0
0
8
0
4
16
16
0
16
16
8
8
0
8
8
8
8
17
0
0
0
16
16
0
0
0
0
2
0
0
8
0
0
8
16
8
8
0
16
0
0
0
6
0
0
0
0
0
9
2
2
0
0
0
0
0
8
0
0
16
0
0
16
25
25
16
0
8
8
16
0
1
0
0
0
0
0
0
8
2
6
0
0
0
4
0
0
0
0
16
0
0
0
0
0
0
16
0
0
16
0
0
0
0
0
0
0
0
0
0
0
1
1
1
16
2
2
8
0
0
0
0
0
0
0
8
3
4
4
16
0
0
8
8
0
2
2
2
0
0
0
0
8
8
0
0
0
0
8
8
8
0
0
0
8
8
8
0
0
0
11
16
0
4
0
0
8
8
8
8
0
24
16
0
0
0
8
16
16
0
0
0
0
0
0
0
1
1
4
12
12
0
0
0
0
0
0
0
0
14
0
42
0
0
16
4
0
8
8
0
0
0
0
0
8
0
0
8
8
0
4
6
0
0
0
0
0
24
0
0
16
0
0
16
16
1
1
1
8
8
0
0
0
4
8
0
0
16
8
8
8
8
8
8
0
0
16
8
0
0
1
8
0
5
4
16
0
0
0
0
0
0
0
16
16
0
0
1
0
16
0
0
8
20
0
0
8
0
8
0
8
16
0
24
16
0
8
4
0
4
0
4
4
0
0
0
0
0
18
0
0
0
0
8
4
0
0
0
1
8
8
8
0
0
0
4
4
16
0
0
0
0
8
8
8
8
8
8
8
4
4
0
16
0
0
0
16
8
16
8
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
16
16
16
1
1
0
0
0
2
1
0
0
25
25
0
12
12
0
8
8
0
1
1
0
0
2
0
0
0
0
0
0
0
8
0
0
0
0
0
16
4
12
0
0
4
0
16
16
16
16
0
16
8
8
8
0
0
8
18
0
16
16
16
8
0
16
4
0
0
0
4
4
8
0
0
0
16
16
0
0
0
8
0
0
0
0
0
0
0
4
0
24
0
0
24
16
16
16
24
0
16
0
1
16
32
8
0
0
0
16
16
16
4
0
0
40
0
16
16
0
16
0
0
16
0
0
0
16
20
16
4
16
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
28
0
0
0
8
8
0
0
0
0
0
28
0
0
16
0
0
8
0
0
4
0
0
8
8
8
16
8
16
0
4
8
0
0
0
16
16
8
8
8
24
0
0
0
0
6
0
9
1
0
0
0
32
2
0
0
16
4
4
0
24
8
8
4
0
8
0
0
0
0
0
0
0
0
0
8
1
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
8
8
16
0
0
0
0
0
0
0
0
0
8
8
0
4
17
8
8
0
0
8
8
0
4
0
0
0
0
16
0
0
24
1
0
2
0
8
0
20
0
8
0
16
0
8
9
2
0
36
36
0
0
0
16
0
0
0
0
16
4
4
0
0
16
20
16
0
4
8
4
8
16
32
32
0
0
2
4
8
0
0
16
10
0
0
0
0
30
0
0
8
8
0
0
0
0
8
0
0
2
2
8
0
0
0
0
0
0
16
8
0
8
24
24
24
1
16
16
0
0
8
8
0
0
0
36
8
0
0
0
0
0
0
0
8
16
24
0
0
0
0
0
0
0
0
0
0
0
0
6
0
0
0
0
0
0
0
8
16
36
0
16
0
0
8
8
0
0
0
16
24
0
0
0
0
4
4
8
8
8
0
0
0
0
0
0
0
16
0
0
4
4
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
4
0
8
0
0
16
0
0
0
0
0
16
0
0
2
8
8
0
0
0
0
12
0
0
0
0
3
0
16
16
16
8
0
16
0
8
0
8
0
0
0
0
8
0
0
0
8
0
8
0
0
0
0
0
0
0
0
9
9
1
1
8
0
0
0
8
0
0
0
18
18
0
0
16
16
2
0
8
8
0
12
8
16
1
2
4
4
1
1
1
20
4
4
4
8
0
8
0
0
0
0
0
0
16
0
8
16
8
8
0
8
0
1
1
0
0
16
0
0
4
0
0
8
0
59
0
16
16
0
1
0
0
0
0
0
8
8
0
0
0
16
16
8
0
32
28
28
0
0
0
16
0
8
0
0
16
0
0
0
8
0
0
0
2
2
4
0
0
0
0
0
0
16
4
8
8
8
0
8
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
8
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
16
16
2
0
16
0
0
0
8
24
0
8
8
8
0
8
8
8
4
4
4
4
4
0
0
8
8
4
2
3
3
3
3
3
3
3
0
32
2
16
2
2
0
4
0
0
0
8
8
8
0
0
4
0
16
16
0
0
0
0
4
4
16
16
32
32
32
0
0
0
0
0
8
2
0
0
16
8
0
16
0
2
2
2
0
18
0
8
0
8
4
4
16
17
17
17
0
8
0
16
16
0
0
0
16
32
32
0
0
2
0
44
12
0
8
0
0
0
0
1
0
0
0
4
16
16
0
8
8
8
8
8
0
0
0
16
0
1
0
0
0
32
32
32
32
4
0
1
20
0
0
0
0
0
0
0
0
0
0
0
0
10
2
0
0
0
0
0
0
16
0
8
8
16
16
16
0
4
0
0
0
0
0
0
0
24
2
0
8
16
4
22
0
0
3
16
0
0
0
0
8
0
0
16
0
8
8
16
0
16
0
0
8
8
0
16
16
16
16
0
0
4
13
0
8
8
8
0
0
0
16
16
8
8
0
28
4
16
4
0
0
0
0
1
0
0
0
0
22
22
1
1
1
8
8
8
2
0
0
4
0
0
0
0
8
8
16
1
2
2
2
0
0
0
0
0
32
4
1
0
0
0
0
0
0
0
0
0
16
0
8
8
0
0
0
0
0
0
0
16
0
0
0
0
16
0
8
8
0
8
8
0
1
0
0
0
0
2
0
16
0
8
0
16
0
0
0
0
32
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
0
0
8
8
8
0
8
0
0
8
48
16
0
4
4
0
0
4
16
40
2
0
0
0
0
16
0
0
16
8
0
0
0
16
16
12
12
12
0
0
0
24
0
32
32
0
0
0
8
0
32
16
24
16
0
0
0
0
0
24
24
24
8
2
0
0
16
16
0
0
0
0
0
8
0
8
8
0
0
0
0
0
0
8
0
8
8
8
0
0
0
1
1
12
12
0
0
0
16
24
24
0
0
0
8
18
8
16
16
0
0
0
0
0
0
8
8
0
4
4
8
0
1
1
0
0
8
0
0
8
8
4
8
0
0
0
0
8
16
16
0
4
4
0
8
8
0
0
0
0
0
0
0
16
16
0
10
0
1
0
0
4
0
4
0
0
0
2
0
0
0
8
0
24
8
0
0
0
0
0
16
0
0
26
8
8
0
0
1
8
1
0
5
5
0
0
19
0
8
8
8
0
0
0
8
4
8
8
4
0
8
4
16
0
0
0
8
0
0
28
12
4
0
0
2
16
0
0
0
4
0
16
16
4
4
0
0
0
0
0
2
20
0
24
9
8
8
8
8
0
0
0
16
16
0
0
0
0
0
8
4
20
16
0
0
0
16
16
16
16
16
16
0
2
2
16
16
0
8
0
8
0
0
2
0
0
0
16
0
0
18
2
0
0
1
34
0
0
0
16
18
18
18
8
0
0
0
0
0
0
0
8
0
0
0
0
8
8
8
16
8
0
0
0
9
1
16
16
0
8
0
0
9
0
0
0
8
8
8
0
0
0
0
0
0
0
8
8
0
2
2
26
0
0
4
4
0
0
0
1
4
8
8
8
0
0
24
0
0
8
2
16
0
0
0
4
4
4
2
2
0
16
0
16
16
16
0
0
4
0
12
8
8
0
0
18
0
0
0
0
16
0
0
0
18
18
16
0
0
0
8
0
0
0
16
8
8
0
0
0
0
0
0
0
0
0
25
25
8
8
1
24
6
16
8
0
0
26
0
0
0
0
0
0
0
0
8
16
0
0
8
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
8
0
0
0
16
0
0
0
0
0
0
8
0
0
0
0
16
16
17
0
0
6
0
0
1
16
0
0
0
0
4
0
0
8
0
8
8
0
24
24
0
2
0
2
0
2
0
0
0
0
0
0
16
16
0
0
16
0
8
0
0
0
0
0
8
8
8
8
8
0
8
0
0
24
24
24
24
0
8
1
8
8
0
0
16
16
16
0
0
0
16
16
0
0
8
16
0
0
12
0
4
0
0
6
8
0
0
0
0
0
0
0
0
0
0
10
0
0
0
0
2
16
0
0
0
0
0
0
0
8
0
0
0
0
5
5
0
0
16
8
0
0
4
0
0
0
0
0
0
8
0
0
0
8
8
8
8
1
16
0
16
16
0
4
0
0
0
0
1
0
0
0
0
0
8
8
0
0
0
0
0
4
4
0
0
0
0
8
0
0
0
0
8
8
1
0
8
0
0
8
8
0
8
2
2
0
0
0
0
8
24
8
0
0
0
1
1
1
1
0
0
32
0
0
0
0
0
2
24
0
0
8
2
8
8
8
0
0
0
0
32
4
16
16
0
16
12
0
8
8
8
8
8
8
8
8
8
8
8
4
0
0
0
4
16
8
4
4
4
8
0
58
58
58
8
1
0
0
1
0
0
0
4
0
0
4
16
16
0
40
40
8
8
8
8
8
0
0
8
1
1
1
1
0
0
0
0
0
0
0
0
8
8
0
8
0
0
30
0
0
1
0
0
0
0
16
16
0
0
0
16
8
0
0
0
0
0
0
0
0
0
8
0
8
8
0
5
4
8
8
8
2
0
0
0
0
0
0
8
0
24
24
24
0
0
0
0
0
4
0
0
0
8
0
0
8
8
8
0
0
1
24
0
8
8
4
4
8
8
8
28
0
16
8
8
0
6
16
0
4
0
8
34
0
24
24
8
8
16
0
0
0
2
0
0
4
16
16
0
16
34
34
0
4
8
0
0
0
8
8
0
0
0
0
0
4
0
48
0
8
0
1
0
4
4
0
8
0
0
1
1
16
2
0
2
2
0
0
1
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
24
24
4
16
8
8
8
0
0
0
0
12
12
0
0
10
10
10
4
4
0
8
4
9
8
1
0
0
0
0
8
0
0
0
0
0
8
8
0
28
8
8
0
0
16
0
0
0
16
16
16
16
16
16
16
16
0
0
0
0
0
0
0
8
0
4
0
0
0
0
8
1
0
0
0
8
0
1
0
0
16
0
0
0
0
0
4
8
24
24
24
0
0
4
4
0
6
8
0
0
16
8
0
4
0
1
16
4
0
8
0
0
0
0
0
0
0
0
0
0
8
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
16
8
0
6
0
25
0
0
16
16
24
24
24
0
0
0
2
0
8
8
8
16
0
16
0
0
16
0
8
0
0
12
0
12
0
16
0
0
0
0
0
0
1
0
0
8
8
8
8
8
1
18
18
0
0
8
8
8
0
0
0
0
33
16
8
0
1
0
1
0
3
0
0
0
2
2
32
0
19
0
30
0
0
8
8
2
0
0
40
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
1
0
0
0
8
0
0
8
8
8
8
0
6
8
0
8
8
16
16
16
16
0
0
0
0
1
25
0
4
0
0
0
8
8
8
0
32
0
0
0
16
0
0
0
16
8
0
0
0
0
8
0
0
28
0
33
0
16
0
4
4
0
0
0
17
0
13
0
0
8
4
4
16
17
1
0
4
24
24
0
16
16
16
0
8
0
4
16
0
8
0
0
0
4
0
1
8
8
8
0
0
0
4
0
0
0
16
16
4
0
0
20
0
0
0
16
16
16
8
8
8
8
0
0
0
12
16
8
0
2
2
0
0
8
0
0
0
0
0
16
0
0
0
0
0
0
0
0
32
0
0
8
8
0
0
0
0
0
0
0
8
8
24
0
0
0
0
0
0
0
12
0
2
0
8
1
4
0
12
8
0
0
24
20
6
8
0
2
3
4
0
16
4
0
7
7
7
7
0
0
0
0
1
24
0
0
8
0
0
16
0
0
32
36
2
0
8
24
8
10
8
16
0
2
2
2
2
2
2
4
2
0
0
16
2
8
0
16
0
0
8
0
0
0
0
0
8
0
0
8
0
8
8
16
0
20
0
0
8
0
9
0
0
0
8
8
0
0
0
0
0
0
8
8
0
24
16
0
0
0
0
0
8
0
8
24
8
8
10
0
12
10
10
0
0
0
0
0
16
16
32
0
0
0
0
0
0
8
8
8
0
24
24
8
8
0
0
8
8
0
0
24
18
18
18
18
18
0
8
20
20
32
2
1
0
0
0
0
0
2
2
2
1
1
8
8
8
0
0
16
16
0
0
0
16
16
2
0
0
12
0
16
0
16
0
0
0
0
0
0
0
0
0
0
0
1
4
0
0
0
0
0
16
0
4
21
1
0
0
0
8
0
0
16
8
0
16
0
0
0
8
0
1
1
16
8
0
12
4
2
4
4
4
4
0
0
0
0
0
0
0
0
28
0
0
0
0
0
0
0
0
0
0
0
0
8
8
16
16
0
4
0
0
0
0
0
8
0
16
4
4
4
4
0
0
0
0
8
8
8
8
0
8
0
8
8
8
20
20
8
8
8
8
0
0
0
24
8
8
1
0
0
0
0
0
0
0
2
2
2
2
2
16
16
16
18
16
16
0
4
4
21
5
5
0
0
0
0
3
0
8
0
8
41
0
16
32
32
9
0
33
13
0
0
50
50
8
0
0
0
0
16
1
8
0
0
8
0
0
0
16
2
24
1
1
0
0
0
0
0
0
8
8
8
0
0
0
32
16
16
16
16
0
8
8
24
0
0
0
16
16
0
0
0
16
16
0
0
0
0
0
17
17
0
0
0
0
0
0
0
24
8
4
4
8
8
0
4
4
4
4
0
8
2
2
0
2
2
8
8
8
8
48
0
16
0
0
16
16
16
0
32
0
0
0
8
16
12
0
0
6
16
16
0
1
0
0
16
16
4
0
16
0
32
0
0
0
8
16
0
0
0
0
4
4
0
0
0
0
0
0
4
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
1
8
4
0
8
0
0
16
8
16
16
0
0
16
0
0
0
0
8
8
1
0
32
0
0
8
8
8
8
8
0
2
16
0
0
0
0
0
0
0
10
10
2
2
2
0
0
0
0
0
20
0
0
0
0
0
0
16
16
0
0
16
0
0
0
4
16
0
0
0
20
20
20
0
0
0
16
16
0
8
8
8
8
8
4
0
0
0
2
2
16
8
0
0
0
0
0
0
0
0
0
2
0
0
2
0
0
0
0
0
0
0
4
16
2
0
0
8
0
16
0
0
0
0
0
8
2
0
0
4
8
8
1
5
8
0
8
0
0
0
17
0
26
0
8
0
0
8
8
0
0
4
0
0
0
2
0
0
0
0
8
0
0
0
2
0
0
4
8
8
8
0
0
0
0
2
2
2
16
0
9
9
0
0
0
0
0
8
0
8
8
2
0
0
0
1
2
8
8
14
0
0
16
0
0
4
0
8
8
8
8
8
12
0
0
1
16
16
0
0
0
0
32
0
0
8
0
16
0
0
0
0
17
0
8
8
0
0
0
8
0
24
24
24
24
2
0
24
4
0
0
0
0
0
0
0
0
9
8
8
8
8
4
4
0
0
8
2
2
2
0
8
8
16
4
1
9
9
8
8
0
2
16
2
0
0
0
0
17
8
8
32
32
32
0
0
0
0
2
0
0
8
8
0
0
27
4
4
4
4
0
0
24
16
0
8
1
0
8
0
0
18
0
0
0
0
0
10
16
16
16
0
8
8
0
0
0
8
8
8
0
1
1
1
0
0
16
8
8
0
8
8
0
1
8
8
0
0
16
9
8
8
0
8
8
4
4
0
0
0
0
0
0
0
0
32
32
32
12
12
12
0
8
8
8
0
0
8
16
0
0
0
16
0
16
2
8
8
8
0
0
0
8
0
0
0
0
4
0
0
0
8
0
0
0
0
8
8
0
48
0
16
0
0
17
32
24
0
0
4
8
8
8
8
0
0
6
16
16
8
4
4
4
1
1
1
0
1
0
2
2
8
8
8
8
0
19
19
8
0
0
8
0
4
4
18
18
18
2
2
2
0
2
0
0
34
32
4
0
0
0
1
0
8
4
4
4
4
1
0
4
8
8
24
24
0
16
16
16
22
4
4
0
8
8
8
0
0
8
0
16
0
8
0
0
0
8
16
8
0
0
4
4
17
17
19
11
0
2
33
8
8
8
18
2
2
1
1
16
2
2
4
3
35
0
0
0
16
8
0
0
0
0
2
0
0
2
2
0
0
8
0
0
2
2
8
16
16
16
16
0
0
8
20
1
1
17
8
8
16
8
0
20
16
16
0
0
1
1
0
8
8
0
0
0
0
16
8
8
2
0
0
14
0
16
16
16
1
8
0
0
0
0
8
8
16
16
8
9
4
4
4
2
0
0
0
0
0
0
1
0
12
12
8
16
8
8
8
8
8
8
8
8
8
8
8
0
0
4
16
16
16
16
0
2
16
0
0
16
20
20
8
8
2
0
4
8
8
4
4
0
0
0
8
0
0
16
16
0
8
8
8
8
8
8
4
8
0
0
8
8
8
0
8
0
8
16
0
0
0
24
8
2
0
8
0
0
0
8
16
16
0
0
8
16
16
16
16
0
0
0
0
0
0
16
0
0
0
16
16
16
0
0
4
4
4
26
8
8
16
0
0
0
20
4
0
8
8
0
16
8
8
0
0
0
0
0
16
0
1
4
16
0
49
0
0
0
2
2
6
8
8
16
16
8
0
0
16
16
16
16
8
8
8
8
8
0
0
0
0
8
16
16
16
16
0
4
4
4
0
8
8
0
8
8
0
0
0
0
0
16
16
16
16
0
8
18
8
16
16
8
0
0
0
8
8
0
0
16
8
8
0
0
0
0
0
0
1
0
0
0
0
8
0
8
0
0
1
1
8
8
8
8
4
16
16
16
1
0
0
0
0
0
0
0
8
0
0
8
1
0
0
0
0
0
8
16
0
0
2
2
0
0
0
0
2
2
2
2
8
0
0
48
0
0
8
0
0
0
0
2
2
2
2
2
1
29
0
0
0
16
16
16
16
0
1
1
4
4
4
4
8
20
8
8
8
0
1
8
16
0
0
0
1
1
1
1
16
8
16
0
0
0
0
29
0
0
0
8
8
8
4
2
2
2
2
2
0
0
0
0
0
16
0
0
0
16
0
0
0
8
0
16
0
0
0
0
0
0
0
0
16
8
0
1
8
0
16
0
8
8
8
1
1
4
12
0
0
2
4
4
8
16
0
0
0
0
0
8
8
0
0
0
16
16
16
16
8
8
8
0
2
0
0
0
0
0
8
0
16
16
4
4
0
16
0
0
8
8
8
8
8
8
8
4
4
8
10
10
10
10
8
4
0
0
0
0
0
0
0
0
40
0
0
32
16
16
0
8
8
8
8
2
0
0
0
0
0
0
8
0
0
0
0
1
0
0
0
0
0
0
1
1
0
16
18
4
8
16
8
16
8
16
0
0
8
0
0
0
0
2
2
16
8
8
8
8
0
0
16
16
16
16
8
8
16
8
24
8
8
0
8
1
1
0
8
8
8
0
6
2
0
16
8
12
12
0
14
0
0
0
0
0
17
0
8
8
0
1
2
0
0
0
0
0
17
16
0
0
0
0
0
1
1
0
16
16
0
0
8
8
0
16
8
4
4
4
4
0
0
0
0
2
0
0
8
8
8
8
8
8
8
8
8
0
8
8
8
8
8
8
0
16
16
0
0
0
8
8
0
9
32
0
8
16
16
16
0
0
0
0
1
0
0
0
0
8
0
0
0
0
16
0
0
0
8
8
0
0
8
8
16
16
16
16
4
0
8
16
4
32
8
0
8
8
0
0
4
4
4
4
4
4
2
2
0
4
4
8
0
8
0
0
2
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
8
16
16
4
4
4
2
0
0
0
8
0
0
2
8
8
0
0
8
8
8
8
8
32
32
0
8
8
8
8
8
16
16
16
16
16
2
24
0
0
16
16
10
8
1
1
1
8
8
0
16
2
16
8
0
16
14
8
8
0
0
8
0
0
0
24
0
0
0
1
4
8
0
8
16
16
16
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
16
16
1
0
0
16
16
16
16
8
8
8
0
0
41
57
41
8
11
8
8
8
0
16
16
16
16
16
2
0
8
0
0
2
16
0
0
4
4
4
16
16
16
0
16
48
2
2
24
24
16
16
16
0
0
16
16
16
0
0
0
16
8
0
0
6
0
0
8
0
0
0
16
16
16
0
0
16
16
8
0
16
0
0
6
0
0
0
49
49
49
0
0
0
7
7
7
7
0
0
2
0
1
24
6
4
18
1
16
16
16
16
0
0
16
36
36
36
36
24
0
8
0
16
0
8
0
6
8
8
8
8
37
16
0
8
8
8
4
8
8
8
0
1
1
0
0
8
8
8
4
8
8
16
0
1
0
20
4
8
8
8
8
8
1
8
16
16
0
0
16
16
8
0
0
16
16
8
24
8
24
24
8
8
16
1
17
1
1
8
0
1
1
1
1
8
16
0
0
0
0
0
2
0
0
16
0
0
0
2
2
0
0
0
0
0
0
0
0
0
0
16
2
2
0
0
2
0
1
0
0
0
0
8
8
0
0
2
2
2
2
0
0
0
8
8
16
16
8
0
8
8
8
0
0
4
20
1
5
5
5
5
1
8
0
8
0
8
8
16
8
8
8
8
8
16
8
8
0
0
0
8
0
8
16
0
8
0
8
0
0
0
16
1
16
0
2
0
2
0
0
8
0
0
16
1
0
24
24
0
0
0
32
16
0
0
0
0
8
9
0
0
0
0
0
24
8
8
4
0
8
8
5
0
0
16
0
16
16
16
0
8
0
0
0
8
8
0
0
0
4
2
0
8
8
0
0
0
8
8
8
0
0
0
0
0
8
4
8
0
0
0
0
0
0
16
0
8
0
16
8
0
0
16
16
1
8
8
8
16
16
16
16
2
4
0
8
8
0
0
4
0
8
0
0
0
16
2
0
8
1
8
0
0
16
8
8
8
8
24
24
8
24
0
0
0
1
16
16
4
8
8
8
0
0
8
16
16
4
0
16
24
16
0
8
0
4
1
1
8
8
32
0
0
0
0
0
17
4
4
16
34
0
36
36
32
16
16
17
8
0
16
8
8
8
8
8
8
8
4
32
32
0
24
8
8
8
0
28
0
0
32
0
16
16
16
0
16
16
0
16
16
8
0
20
0
0
0
8
8
4
4
0
0
0
0
0
16
0
4
16
8
0
18
0
2
0
0
16
16
16
16
16
8
0
4
4
4
4
4
4
4
4
4
4
0
0
0
1
0
8
26
0
4
4
0
8
1
0
0
0
0
6
24
24
24
16
0
0
8
8
8
0
4
0
8
0
8
24
24
0
2
8
9
16
16
16
56
0
16
0
8
8
0
8
8
16
16
32
32
32
8
8
8
0
8
0
0
8
12
0
2
2
0
0
0
0
48
48
16
0
0
0
16
0
4
4
4
26
16
16
16
0
8
8
16
0
0
0
8
8
0
0
0
0
4
8
8
8
0
8
0
16
0
8
8
8
36
32
0
0
0
16
0
0
0
0
24
18
18
18
8
8
4
4
4
8
28
0
0
0
8
8
32
8
0
0
28
2
2
2
2
0
0
8
57
16
16
0
0
25
8
16
17
0
0
0
8
8
0
0
0
0
0
24
8
8
4
0
0
16
24
8
8
8
16
16
16
16
8
0
41
16
24
24
0
0
0
8
0
0
0
0
8
16
0
0
2
0
16
0
0
0
0
8
2
2
24
24
0
16
16
16
2
0
1
8
4
4
4
4
0
0
0
28
0
0
8
0
0
0
0
0
0
18
18
4
24
0
1
1
1
8
9
0
17
17
16
8
8
0
2
26
8
0
0
0
33
33
33
8
0
0
0
0
0
0
0
0
0
0
14
0
0
0
0
0
0
0
0
0
0
24
24
24
16
16
24
0
0
0
1
0
2
2
2
2
2
2
2
2
2
2
0
21
10
17
8
8
8
16
48
8
4
4
8
8
0
4
1
1
1
16
16
16
0
0
0
1
0
0
0
16
0
0
0
0
0
8
0
8
2
16
12
12
12
32
8
0
0
4
0
0
0
0
0
4
8
0
8
16
16
0
4
4
0
0
0
0
1
1
1
1
1
1
1
1
4
8
0
0
16
0
8
8
12
12
8
8
8
0
0
0
4
4
4
8
16
9
8
1
1
4
0
16
16
0
0
16
0
4
0
12
20
0
8
0
0
4
0
0
0
0
0
0
16
8
0
0
8
0
0
32
32
0
0
16
16
16
0
16
8
0
16
16
40
56
56
4
4
0
0
25
0
16
16
0
0
8
9
9
0
0
4
0
16
16
40
0
8
0
0
0
0
0
2
2
2
1
0
0
2
0
0
4
8
8
8
8
24
0
1
1
8
0
0
16
4
12
12
8
8
8
0
0
0
8
0
4
0
0
0
0
0
0
4
16
16
8
8
0
8
0
16
0
8
0
2
8
16
16
0
0
16
8
0
0
2
0
8
16
16
16
0
0
0
4
16
8
0
8
8
24
8
8
16
8
17
17
0
2
0
32
8
16
0
16
16
16
16
0
0
0
0
8
0
8
0
0
0
0
0
0
0
0
49
24
0
0
32
32
32
16
0
8
0
0
0
8
4
0
32
8
0
8
0
16
0
0
0
0
0
28
0
0
0
0
0
0
0
8
0
8
8
20
4
0
8
8
8
8
8
8
0
16
16
0
8
8
8
0
0
8
8
8
4
0
10
8
0
0
0
0
0
0
0
18
18
0
16
0
0
0
0
0
0
0
1
16
2
16
0
2
8
24
8
0
0
16
16
4
4
4
8
16
16
0
8
0
0
0
0
12
0
16
4
12
0
8
8
8
0
0
0
0
38
4
0
0
0
8
8
0
4
8
8
8
8
0
0
0
16
16
8
0
16
16
8
8
8
24
0
8
16
0
0
0
10
0
1
8
8
0
4
4
24
8
8
0
4
0
4
8
8
8
16
8
8
0
0
0
16
1
1
1
0
4
32
17
0
16
16
16
0
0
0
8
8
0
2
2
16
16
16
1
0
0
0
35
0
8
2
0
0
0
0
0
0
1
0
2
16
16
4
4
0
0
0
0
0
0
0
0
0
0
0
9
9
8
0
0
8
8
8
1
1
1
1
1
0
0
8
8
0
0
8
1
2
1
1
1
16
0
0
8
0
4
4
8
0
0
4
0
0
0
1
1
1
1
8
8
8
8
16
16
16
4
2
6
2
8
8
0
0
16
0
0
0
0
13
13
8
8
0
0
0
8
0
0
0
22
8
0
8
8
0
0
8
0
0
8
8
0
0
0
0
0
8
8
8
8
8
8
16
16
8
0
8
8
8
0
8
8
8
34
32
8
8
4
24
24
0
0
8
1
1
8
8
24
0
0
8
2
16
16
16
16
0
0
16
8
8
4
16
0
0
0
2
2
0
0
0
16
16
16
0
0
0
0
0
0
0
0
0
0
0
8
8
0
8
0
0
0
0
8
8
8
32
0
8
0
9
9
9
0
4
0
8
0
0
0
0
0
0
0
0
0
0
8
0
0
0
8
0
0
8
8
4
32
0
0
8
8
16
16
16
16
16
16
16
16
12
0
0
0
4
8
8
8
0
16
4
0
4
0
0
0
4
4
0
0
2
16
0
0
4
0
0
0
0
0
8
0
8
9
9
9
2
2
8
20
0
1
0
8
8
8
1
0
0
0
16
8
0
0
16
4
4
24
24
0
0
2
24
0
16
8
8
0
0
8
8
8
8
0
8
8
0
0
0
0
16
0
16
8
8
0
0
0
0
0
0
0
1
4
4
16
16
4
8
8
8
8
1
0
0
0
0
0
0
0
2
2
2
8
8
1
1
0
0
8
17
8
0
16
0
20
8
0
0
24
20
20
8
8
0
0
8
4
8
8
8
8
0
24
1
8
16
24
16
0
8
4
4
4
4
4
57
57
57
32
32
8
0
0
0
0
26
24
0
0
0
0
0
2
4
16
0
0
0
0
2
0
0
16
0
1
0
8
8
16
1
8
8
24
16
16
16
16
16
16
16
16
0
0
0
4
8
8
0
0
0
8
0
16
16
0
1
1
1
1
16
8
0
0
19
0
0
0
32
3
0
8
16
16
0
1
16
8
8
0
0
8
0
0
16
8
8
8
8
32
0
0
0
0
8
8
1
1
0
8
0
0
0
0
24
0
0
8
1
1
16
8
0
0
16
0
0
0
0
4
0
0
8
0
0
0
0
4
2
0
0
4
4
0
0
3
4
8
4
0
8
8
0
16
16
0
0
8
8
0
20
16
8
0
24
0
8
0
0
0
8
0
0
8
8
16
0
8
8
14
1
8
0
0
0
18
8
8
8
8
8
0
0
0
24
1
0
0
0
0
2
16
16
40
17
16
3
0
0
4
0
0
16
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
24
8
16
0
8
8
0
0
1
1
1
1
4
0
8
0
8
8
4
0
0
2
16
0
0
8
8
8
8
8
8
8
8
8
8
0
0
16
16
0
6
6
4
8
0
6
0
0
8
0
0
0
0
0
0
8
8
8
25
0
0
0
0
24
0
8
16
16
8
0
0
8
0
0
0
8
0
16
2
2
8
8
8
16
16
16
8
0
16
0
0
4
2
0
0
0
8
0
0
0
16
16
8
8
0
0
0
8
0
0
0
0
0
0
0
0
0
2
2
4
0
8
16
0
18
16
0
0
0
0
16
16
0
0
2
0
0
0
8
8
8
0
8
24
8
8
8
8
8
8
17
1
8
0
0
0
8
0
8
2
0
4
16
16
8
8
0
0
4
22
0
8
0
0
0
0
16
0
0
1
0
24
24
4
0
0
0
0
8
8
8
8
8
8
0
0
0
32
0
1
1
0
8
0
16
0
0
16
20
4
4
2
2
8
8
8
8
0
8
0
8
8
0
49
0
0
0
0
0
0
1
0
0
16
8
8
0
0
2
2
2
2
2
2
2
22
22
0
1
1
4
0
0
12
8
0
0
13
4
4
8
0
0
26
26
16
0
8
24
8
0
8
8
0
0
0
0
8
8
8
8
0
2
4
0
8
5
0
0
8
0
0
0
0
0
0
0
16
0
0
16
8
8
8
18
0
0
35
35
35
0
8
8
12
0
0
0
0
4
8
0
0
0
8
16
16
8
8
8
0
0
0
10
8
4
4
4
0
0
0
4
4
24
24
0
0
16
16
1
0
9
9
8
8
8
0
0
0
8
8
8
0
0
0
0
0
16
0
16
16
16
4
0
16
16
10
10
10
0
8
0
4
16
0
16
32
0
16
0
0
0
4
8
0
0
20
0
0
0
8
8
0
0
8
8
0
0
0
0
8
8
8
0
0
0
0
8
8
0
8
8
8
0
0
0
0
0
0
1
16
8
16
0
4
0
0
18
16
0
8
8
8
0
0
16
8
8
8
8
0
0
0
8
8
16
24
8
8
18
16
0
8
8
0
1
16
0
0
0
0
8
8
8
16
8
20
48
0
24
8
2
0
8
8
0
1
0
0
2
0
0
0
0
0
8
8
8
8
16
16
4
2
2
0
2
8
8
0
0
8
8
0
10
8
0
0
8
8
0
0
16
0
0
0
16
0
18
0
0
0
4
0
20
2
0
0
0
17
17
0
8
0
8
8
0
0
1
0
0
2
2
0
8
8
0
0
8
8
8
0
0
16
1
0
0
0
0
16
16
8
8
8
8
0
1
8
0
0
0
0
0
8
0
0
0
1
28
8
16
16
0
0
40
40
0
2
2
2
49
8
8
0
16
0
0
0
0
8
8
8
0
4
16
16
16
8
8
8
8
0
4
16
24
0
0
16
0
4
0
0
16
4
0
0
0
2
4
4
0
0
4
0
8
0
0
0
0
0
0
16
0
0
0
8
8
8
0
4
4
4
0
0
0
8
0
8
16
0
0
0
0
2
8
0
16
0
0
0
2
8
0
0
0
0
0
0
0
16
0
0
16
16
16
0
8
0
0
0
32
32
24
0
0
0
0
9
9
19
1
1
1
16
16
0
0
0
0
0
0
8
8
8
0
0
0
2
12
12
12
12
0
0
0
0
0
0
0
0
0
0
8
8
2
6
16
16
1
17
8
8
16
8
0
0
16
8
8
8
8
0
0
8
0
0
0
0
0
8
36
8
8
8
16
4
0
0
0
8
0
1
1
1
26
0
0
0
0
0
0
0
0
0
0
2
8
0
2
2
1
1
0
0
8
0
0
16
0
8
8
32
8
0
0
0
0
0
24
0
0
40
0
0
8
8
0
24
0
0
0
8
8
0
16
16
0
8
0
0
0
0
4
4
8
16
16
0
4
0
16
0
16
8
8
0
0
0
8
0
1
8
0
16
0
8
8
8
4
8
0
0
0
0
8
0
8
8
16
16
16
0
0
0
0
8
0
0
32
8
8
8
0
0
0
0
0
0
1
8
0
0
12
1
0
0
0
0
2
0
16
0
8
8
0
0
0
8
18
0
17
8
8
0
10
44
32
8
8
8
0
0
0
24
0
0
18
0
0
0
0
8
0
8
0
0
0
0
0
0
0
4
16
0
0
0
18
16
0
12
0
1
0
0
0
0
8
0
0
0
8
8
4
16
1
8
8
0
0
8
8
8
8
8
8
32
2
0
2
8
8
0
0
0
0
0
0
0
0
24
24
16
0
24
8
0
1
0
8
8
8
16
0
1
1
24
0
2
2
0
0
0
8
0
0
4
4
4
0
32
0
8
8
0
0
24
0
8
0
0
0
20
0
0
16
16
0
8
4
4
0
0
0
0
8
0
8
0
0
8
8
4
0
0
0
0
0
8
24
0
0
16
0
0
0
36
0
0
0
12
1
8
8
0
0
18
0
0
0
0
0
0
0
2
0
16
6
6
6
16
16
8
8
8
4
0
8
8
0
26
8
16
12
0
0
0
8
8
8
8
8
0
0
0
0
4
16
4
8
4
17
17
8
0
0
0
0
16
0
0
0
0
0
0
18
18
8
8
0
0
0
16
0
0
0
4
18
16
0
4
4
4
0
0
8
4
0
0
0
2
1
1
1
12
8
0
4
4
4
0
0
0
0
8
8
8
0
8
0
8
0
0
0
8
8
0
8
0
2
8
0
0
2
2
2
16
16
0
0
0
0
16
16
0
0
16
8
0
4
4
4
0
8
8
8
8
8
8
0
8
4
24
24
24
0
0
1
0
4
0
16
8
0
0
0
0
0
8
16
20
12
16
0
4
0
0
0
1
0
0
8
16
0
0
0
0
4
0
1
16
6
6
8
0
0
0
0
0
8
0
1
1
0
0
16
0
4
0
16
16
1
8
0
0
0
0
0
4
0
0
16
16
0
1
1
1
0
0
3
0
0
0
16
16
2
16
16
16
24
24
24
24
24
12
17
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
16
8
8
8
8
0
0
0
0
8
8
8
16
3
2
0
0
16
0
0
2
1
0
8
16
0
0
0
0
0
8
8
2
16
18
18
8
0
26
26
26
26
0
0
8
0
8
0
2
2
0
16
16
16
16
0
4
0
0
0
0
9
9
9
9
0
0
8
0
0
0
0
0
19
0
8
0
0
16
16
16
0
8
4
0
0
16
0
16
8
8
4
16
1
8
0
8
8
0
8
0
10
8
8
24
0
8
18
16
16
0
0
32
0
1
1
1
8
8
8
0
0
0
0
0
0
8
0
0
0
0
0
0
26
0
0
0
45
16
16
0
0
2
8
1
8
16
0
4
4
0
0
0
8
8
0
16
0
0
32
32
0
20
20
2
2
2
0
0
0
0
6
0
0
0
0
0
4
0
8
0
0
0
8
8
0
8
8
8
4
0
0
8
8
8
16
8
0
0
0
0
0
0
0
0
16
16
0
8
1
2
2
2
8
4
24
8
0
2
0
0
1
8
8
8
2
0
8
8
8
0
1
1
0
0
0
0
4
4
4
1
8
8
0
0
0
4
20
0
0
8
16
0
8
8
0
0
32
8
8
8
4
8
8
16
0
4
0
0
0
8
2
0
0
0
4
0
2
1
1
16
8
0
0
8
0
0
0
0
0
0
4
6
8
0
0
32
8
8
8
8
16
16
0
0
0
8
0
0
1
0
0
4
8
1
8
8
0
8
8
8
17
0
0
0
8
8
0
18
13
0
0
0
16
1
1
0
0
0
32
0
0
4
4
2
2
2
0
8
8
12
1
0
8
8
0
8
8
8
0
8
0
48
48
0
0
8
32
8
8
8
0
16
29
0
0
0
0
24
0
8
8
8
0
0
8
0
0
8
8
0
4
8
0
16
0
0
0
0
8
0
2
1
0
0
0
1
0
0
4
0
0
16
16
0
0
0
8
1
0
0
16
0
0
0
0
0
1
0
0
16
0
8
16
8
0
0
1
0
1
0
8
8
8
8
8
8
8
8
8
6
6
0
0
10
0
0
0
0
0
8
4
6
8
8
8
0
2
2
0
0
8
0
4
4
4
0
8
8
8
8
32
0
1
1
8
8
36
8
24
0
0
0
0
0
32
32
0
0
0
0
0
0
8
0
0
8
0
0
0
0
16
0
0
0
16
0
0
9
0
0
0
0
0
16
0
0
8
16
0
0
1
1
1
0
4
0
0
0
8
0
4
8
4
24
0
0
0
8
0
0
0
0
8
0
0
2
2
16
16
1
0
8
8
8
2
2
8
0
16
0
0
4
8
28
16
3
3
0
0
0
0
0
0
0
40
40
40
4
2
2
2
8
8
8
0
0
16
0
8
0
2
2
6
0
0
4
0
16
0
8
0
2
16
8
16
0
0
0
0
0
0
16
16
16
16
16
0
8
8
24
16
16
0
8
8
8
4
0
0
0
8
8
8
8
0
0
2
2
0
0
0
0
0
8
8
8
0
16
16
8
8
0
32
0
8
16
16
0
0
16
0
8
8
0
16
8
8
8
0
4
12
8
0
0
8
8
16
8
4
28
0
0
0
0
0
8
8
24
0
0
4
4
0
0
0
2
0
0
0
0
0
0
1
1
8
8
0
0
0
0
0
0
8
8
8
8
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
4
0
0
8
8
12
8
8
0
0
0
8
0
0
0
8
8
16
16
18
0
0
8
0
0
32
0
0
16
0
0
0
8
0
8
0
0
8
1
0
0
0
1
16
16
5
5
0
0
24
24
1
1
1
1
10
2
0
0
0
0
0
0
0
0
7
8
0
0
0
0
8
0
0
0
56
8
29
4
1
1
0
16
16
16
16
0
0
0
16
16
16
0
0
8
8
0
8
8
16
0
0
4
4
8
24
8
17
17
16
16
8
0
0
0
0
8
16
0
0
8
0
24
1
8
8
8
8
8
8
8
17
16
0
0
0
0
4
4
0
16
0
0
8
8
8
16
0
8
8
0
0
0
16
16
16
16
16
0
8
2
2
8
8
2
2
2
0
8
8
8
0
8
16
0
0
0
8
0
0
1
1
1
16
8
0
8
8
0
4
4
8
8
8
0
4
8
6
0
8
8
8
0
0
0
0
0
0
8
56
0
4
8
8
8
0
32
0
0
16
0
0
0
0
0
0
0
0
0
0
0
12
12
8
4
0
8
0
0
24
24
0
4
0
0
0
0
0
0
1
32
0
16
0
0
0
16
16
16
16
16
16
16
9
0
0
27
16
0
8
8
0
40
4
8
0
0
8
18
0
0
0
0
12
0
0
0
8
0
0
0
28
28
0
0
4
4
0
16
16
0
0
0
0
0
16
10
0
0
0
0
0
0
0
16
16
6
0
20
33
0
8
8
8
8
4
0
1
16
0
0
2
2
0
0
0
8
8
1
2
2
8
0
0
8
8
0
8
8
8
0
18
18
8
8
0
0
24
0
1
0
1
0
0
0
0
0
0
0
0
16
0
2
0
4
4
2
8
8
8
4
0
0
0
0
0
0
0
0
0
0
8
4
8
0
0
0
0
0
0
12
12
0
0
0
0
16
0
0
0
0
0
0
16
0
0
16
16
0
0
1
0
0
0
24
0
0
0
0
0
1
0
0
0
16
16
0
8
0
0
16
0
0
0
8
8
17
8
0
8
8
0
0
0
8
0
0
0
8
0
0
0
0
0
16
16
0
0
0
8
16
0
8
0
0
0
0
0
4
4
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
8
0
0
0
0
0
0
0
0
0
2
0
0
1
4
2
2
0
4
4
0
14
0
0
0
0
0
0
8
8
0
0
0
0
12
0
0
0
8
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
32
6
0
1
16
0
0
0
0
8
0
0
0
0
0
0
0
6
8
8
0
0
0
0
0
0
0
0
0
18
16
8
0
0
0
8
0
0
8
8
8
8
8
8
8
0
0
0
0
16
0
0
0
0
8
0
8
16
0
0
0
0
0
8
8
0
8
8
8
0
8
0
1
8
16
4
0
0
0
4
0
28
2
2
2
8
0
2
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
8
0
0
8
8
0
0
0
0
8
0
0
0
0
4
4
4
0
0
8
0
0
4
4
0
2
2
0
0
0
0
0
0
27
4
4
0
0
4
6
0
0
0
0
36
0
16
0
0
2
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
1
0
0
0
0
0
4
0
0
16
0
0
0
0
0
18
0
0
0
0
0
0
0
8
8
0
0
0
0
1
4
2
0
0
16
16
0
0
0
0
1
4
0
16
0
0
8
0
0
0
8
44
0
24
0
0
16
8
0
0
0
0
0
0
0
16
0
0
0
0
0
16
0
0
8
8
0
16
0
8
24
0
0
4
4
0
0
0
0
0
0
0
0
2
0
0
0
0
4
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
8
0
0
0
8
32
0
0
16
8
0
6
6
8
0
0
4
4
4
0
0
0
0
0
2
2
8
8
6
0
0
0
0
2
0
0
0
8
0
0
0
0
0
8
8
0
0
12
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
2
8
8
1
1
0
0
0
0
0
0
8
0
0
0
0
0
0
8
0
1
4
0
0
16
0
0
0
0
0
0
0
16
24
24
24
2
2
2
0
16
0
8
9
0
0
0
16
0
0
10
10
0
37
0
8
8
0
17
0
0
0
25
0
0
0
0
16
8
0
2
4
0
0
0
0
16
3
0
0
0
1
1
0
0
0
0
0
19
0
0
0
9
9
0
0
0
0
0
0
0
2
2
8
8
0
0
0
30
30
16
0
0
0
16
0
0
0
0
0
0
0
8
0
0
20
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
1
0
0
0
0
0
4
0
0
0
0
9
9
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
16
8
8
0
24
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
8
8
8
0
0
0
1
0
18
8
16
0
12
1
0
1
0
0
0
0
16
16
16
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
24
24
24
0
8
8
8
0
0
0
24
0
0
0
0
0
0
0
0
0
8
0
1
20
20
20
0
0
16
0
0
0
0
0
6
8
0
8
16
0
8
0
16
16
16
0
0
0
0
0
0
0
0
0
0
8
2
8
8
0
0
0
0
0
4
0
0
0
0
0
0
0
0
3
24
0
0
8
0
0
3
0
0
16
0
20
0
0
1
0
0
0
0
8
16
8
16
6
0
4
4
4
0
27
0
0
16
16
16
0
0
4
0
0
0
0
0
0
0
0
8
0
8
0
0
0
0
0
16
26
26
26
0
4
4
16
0
0
20
0
16
0
0
0
0
4
4
40
0
0
0
0
4
0
0
0
2
0
0
0
0
0
0
0
0
0
8
8
0
0
8
0
0
0
0
8
0
0
0
8
8
0
20
0
0
0
0
8
0
0
8
0
0
0
16
16
0
0
0
0
0
8
0
0
8
0
8
8
8
0
0
8
0
16
0
16
8
0
0
8
8
2
2
16
2
2
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
8
16
0
16
0
0
0
8
6
8
1
1
9
8
8
0
0
0
0
11
0
0
0
0
8
8
8
8
8
8
8
8
0
8
8
0
0
1
0
0
8
0
0
0
28
28
28
0
2
0
0
0
8
0
0
0
4
8
1
0
16
16
0
0
0
8
0
0
20
20
0
0
0
0
8
8
0
8
0
0
0
4
4
4
0
0
0
0
0
16
16
17
8
16
0
0
0
0
0
0
4
0
16
0
0
13
13
0
0
0
0
9
0
0
0
0
0
0
0
8
8
8
0
0
0
0
8
0
0
0
32
0
0
0
16
16
16
16
0
0
0
0
0
16
2
1
16
16
16
16
16
16
0
0
0
4
4
0
0
0
0
12
0
0
0
16
16
0
0
0
1
0
0
0
0
0
0
0
0
0
0
8
8
1
0
16
0
0
0
8
8
8
4
0
0
0
0
0
1
1
1
0
0
0
0
0
8
14
2
8
0
1
0
0
0
0
16
0
0
1
0
0
0
4
8
0
0
0
0
0
0
0
16
0
0
0
0
32
32
0
0
8
8
0
0
0
0
0
16
0
0
0
8
0
0
0
8
8
8
8
8
0
0
0
0
0
0
0
0
0
1
8
0
0
24
0
24
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
16
0
0
8
0
0
0
0
0
0
0
0
16
16
0
0
0
0
32
0
0
0
0
0
4
0
0
0
16
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
6
8
8
8
8
2
1
0
0
4
0
0
0
0
0
0
26
26
4
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
8
0
0
0
8
0
0
2
0
0
0
0
1
1
0
0
0
0
0
0
0
16
16
16
8
0
0
0
0
0
3
3
0
0
0
20
0
0
0
0
16
0
16
0
1
16
0
0
0
0
0
8
16
0
0
2
8
0
8
24
0
0
0
0
0
0
0
0
0
11
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
16
0
4
4
4
16
16
0
0
0
0
0
0
0
0
4
0
0
4
18
0
0
0
8
8
0
0
0
0
16
0
0
0
4
2
2
0
0
0
0
0
8
10
0
0
0
0
32
32
0
0
0
0
0
0
16
8
20
8
0
0
16
10
2
32
0
32
0
0
0
8
16
8
8
8
0
0
0
16
8
0
0
0
0
8
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
16
2
0
0
0
0
0
8
8
4
4
0
8
2
0
0
0
1
1
1
1
1
0
0
0
0
8
1
16
0
1
0
0
0
0
8
0
8
1
0
0
0
0
0
8
0
0
0
0
0
8
8
8
8
0
0
16
8
0
0
0
0
0
0
0
0
0
16
20
0
0
0
0
0
0
0
0
0
0
20
0
0
0
0
0
0
0
16
16
8
8
8
8
8
8
8
8
8
8
16
0
0
0
16
8
8
0
0
0
0
0
1
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
12
4
0
0
24
0
0
0
2
0
16
0
4
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
16
0
0
0
16
16
16
0
0
0
0
0
0
0
0
0
0
8
0
2
2
2
0
0
0
0
0
8
8
0
0
0
0
0
17
17
17
8
8
0
1
0
16
16
16
0
0
0
0
0
40
0
0
0
0
16
0
0
8
0
0
2
18
0
1
1
16
16
16
16
0
0
0
0
0
6
6
8
8
8
8
0
16
16
0
8
0
0
0
16
16
0
0
4
55
0
0
0
0
0
1
1
8
0
0
0
0
0
0
0
0
8
0
2
8
0
0
8
0
0
0
4
4
16
16
20
8
8
8
8
8
5
8
8
0
0
0
6
0
8
0
0
0
0
8
8
8
10
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
8
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
52
16
0
6
0
8
0
0
0
8
0
0
0
0
0
16
0
0
0
0
16
16
0
2
2
0
0
0
16
16
0
0
0
0
0
0
0
8
8
8
8
0
0
8
8
0
0
0
0
0
0
8
8
8
0
0
0
8
8
0
8
0
0
0
18
18
18
0
0
0
0
16
16
1
1
16
16
0
0
0
8
0
0
8
0
0
0
8
8
0
16
16
4
4
0
0
8
8
8
0
24
0
0
0
0
0
0
0
0
2
16
0
8
8
8
0
0
0
0
4
4
0
0
0
0
0
0
0
0
0
0
0
5
5
0
5
0
24
16
24
16
0
0
16
0
0
0
0
2
0
48
0
0
0
0
0
0
0
0
0
4
0
0
33
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
8
16
0
1
0
0
0
0
0
0
0
0
0
8
8
0
0
8
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
8
8
8
0
8
8
8
8
4
0
0
0
0
0
16
16
16
0
0
0
0
0
0
16
0
0
0
32
0
0
4
0
0
4
0
12
12
0
0
0
0
0
17
0
0
0
0
0
8
8
8
4
0
0
8
16
1
1
1
1
8
8
8
8
8
8
8
0
16
0
0
0
18
18
0
0
8
8
0
0
0
8
20
0
0
0
4
0
8
8
0
8
8
16
2
24
0
16
0
0
0
0
4
0
0
0
0
4
8
4
0
0
0
0
2
2
0
0
0
0
10
17
16
8
8
0
2
4
0
0
0
0
0
8
8
8
0
0
0
8
0
0
0
0
8
0
0
0
0
0
0
0
8
0
0
0
16
16
0
16
1
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
8
0
3
3
22
22
0
0
0
0
8
0
0
0
8
0
8
8
0
0
8
8
0
0
0
0
0
17
18
16
0
0
0
0
0
1
20
0
0
0
0
49
8
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
8
8
4
2
16
16
16
16
0
24
0
16
0
16
0
4
8
8
32
0
0
0
0
0
8
0
0
0
40
0
0
0
0
8
10
8
0
0
0
0
0
0
0
0
0
16
16
16
0
0
0
0
0
8
8
8
0
0
0
8
3
3
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
24
0
0
0
0
0
18
16
1
0
2
2
8
0
0
0
0
0
2
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
8
8
8
2
2
0
8
8
22
22
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
8
8
0
0
0
0
0
0
2
24
1
1
1
0
0
0
0
0
2
6
0
0
0
0
0
0
2
2
0
16
0
8
8
0
0
0
0
0
4
8
1
0
0
0
4
0
0
0
0
0
2
0
0
0
0
0
8
0
0
0
8
0
0
0
0
20
16
16
16
0
0
0
0
12
12
0
0
9
8
0
0
0
2
0
0
0
0
8
8
8
0
0
0
0
0
0
8
32
0
2
0
8
8
8
0
0
0
16
16
16
10
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
4
16
4
16
2
0
4
0
0
0
0
0
0
8
0
16
0
8
32
0
0
8
8
16
0
0
0
0
0
0
16
0
0
8
8
2
0
0
0
0
0
0
8
2
0
0
0
16
8
8
8
0
0
8
24
8
0
0
16
16
16
1
16
16
16
0
4
8
8
8
8
7
7
7
8
8
18
8
0
2
1
0
0
16
32
32
16
16
16
16
0
0
0
0
24
56
56
16
0
0
8
8
0
4
0
0
4
3
3
0
0
0
0
8
8
8
8
8
0
0
0
0
0
8
8
8
10
0
0
0
8
0
16
16
0
8
0
0
0
8
8
0
0
0
8
8
8
1
0
0
0
2
2
2
16
16
16
16
2
2
2
0
0
7
0
0
0
0
8
2
2
2
0
0
3
0
0
0
8
0
0
0
17
8
20
2
0
0
0
0
0
0
0
0
18
18
0
0
0
4
4
0
16
16
16
16
16
16
16
16
16
0
0
0
16
5
24
24
20
0
8
28
8
12
16
16
0
8
8
8
16
16
16
16
0
0
2
4
4
0
0
0
0
0
8
1
1
2
2
8
8
8
8
1
8
8
8
8
8
0
0
28
4
4
4
4
0
0
0
0
0
0
0
0
0
0
0
32
8
8
8
0
0
0
0
0
0
0
12
8
8
8
8
8
8
0
8
0
0
0
0
0
24
0
0
0
0
40
5
4
0
0
0
0
16
0
8
0
12
0
0
8
8
8
8
8
16
16
8
0
0
0
0
0
8
12
12
0
0
32
0
0
0
8
0
8
8
0
16
0
8
0
0
0
0
8
16
16
8
8
9
8
16
16
16
2
2
16
32
32
8
0
0
16
24
0
2
2
2
8
8
1
8
0
0
0
0
0
0
8
0
0
8
8
0
8
8
0
8
0
0
2
0
0
8
8
8
16
0
0
12
8
16
8
1
0
0
0
0
0
0
16
0
0
8
9
2
16
8
8
8
8
0
0
2
2
2
2
2
2
4
0
0
1
0
16
0
1
1
0
0
0
0
0
0
1
1
0
8
16
8
0
8
8
8
0
8
16
8
0
0
8
0
8
0
1
4
0
0
0
8
8
0
0
0
0
8
8
1
16
0
8
8
16
16
16
8
0
0
0
0
8
0
16
16
16
0
0
0
0
8
0
16
16
16
16
16
4
49
49
8
0
16
0
0
16
8
16
16
0
0
16
16
16
16
16
16
16
16
4
0
0
0
0
0
0
0
0
0
0
4
4
2
0
2
2
2
8
0
1
0
8
0
0
16
8
0
0
8
0
16
16
0
0
8
2
2
4
4
4
8
1
0
22
22
0
0
0
0
0
0
0
0
0
0
16
0
0
13
13
13
0
8
8
0
8
0
0
2
8
0
0
8
1
0
1
48
0
0
0
8
8
10
0
1
2
0
4
4
4
8
8
8
16
16
8
0
8
6
4
8
8
10
10
8
8
8
24
8
8
8
8
0
8
8
0
8
8
0
0
0
0
0
18
4
0
0
8
8
8
16
16
24
4
12
12
0
8
4
0
0
0
16
16
13
13
13
16
0
1
8
0
8
4
4
4
4
4
8
8
8
8
8
3
12
0
37
1
1
0
0
4
0
8
4
16
0
0
0
0
0
0
16
8
16
1
16
16
8
8
0
0
8
8
8
16
4
0
0
8
8
9
0
0
24
24
0
0
0
0
0
0
8
8
8
1
2
2
2
0
4
0
0
0
24
24
0
0
24
8
8
0
8
8
8
8
8
0
0
0
0
8
0
0
0
16
0
2
8
16
16
16
16
0
0
16
16
16
16
16
16
16
4
24
4
16
4
0
0
0
0
0
0
16
0
16
8
0
0
0
0
8
8
8
16
2
2
0
0
0
0
42
0
16
0
32
0
4
0
32
32
32
0
8
8
0
16
0
24
24
8
0
0
9
9
8
8
8
8
0
24
8
8
0
0
0
8
8
8
8
8
8
8
1
1
0
0
8
8
8
2
0
16
16
0
0
8
57
8
8
4
0
0
8
8
20
20
0
0
1
8
22
8
8
16
8
0
0
0
0
0
16
8
8
0
16
16
0
16
16
8
0
4
4
0
0
0
4
8
16
2
6
6
6
0
0
0
0
8
8
8
8
8
8
30
0
2
20
20
0
8
0
8
0
1
0
0
0
16
16
4
0
0
8
8
8
0
0
0
0
8
0
0
0
16
0
8
8
8
8
8
0
8
0
8
8
16
16
16
2
4
0
16
0
0
1
1
1
0
8
17
8
8
8
8
8
8
0
16
16
8
0
8
0
8
8
0
4
4
10
0
0
0
16
26
6
4
0
0
16
2
0
8
8
24
8
32
0
1
9
1
0
0
8
8
1
1
0
8
8
8
8
1
1
1
0
16
16
16
3
3
8
0
0
0
8
8
24
16
24
24
0
4
0
32
16
0
9
9
0
16
16
24
24
24
0
0
8
8
32
0
0
4
4
0
16
8
0
0
0
1
0
8
8
0
0
4
4
4
18
8
8
9
0
0
0
0
0
32
8
8
8
0
0
0
4
0
0
4
4
4
0
10
10
0
1
16
0
8
8
0
4
33
1
1
1
8
8
0
0
8
8
16
4
8
8
8
0
4
20
0
0
4
0
0
8
8
8
8
8
16
0
1
17
1
2
0
0
0
8
0
0
2
0
0
0
8
16
16
16
16
8
16
8
8
4
24
0
1
16
8
0
4
8
8
8
8
0
0
0
0
0
0
0
0
32
2
8
8
16
24
0
16
16
16
0
8
8
8
0
0
0
0
0
8
0
0
0
0
16
16
8
16
0
10
10
10
4
0
0
48
0
0
0
2
2
0
1
2
0
4
0
0
0
0
16
0
16
2
2
0
0
0
0
0
8
2
2
2
1
1
1
16
16
16
0
0
0
0
5
4
0
18
18
16
8
11
4
4
8
8
8
16
0
4
8
4
0
4
8
1
1
1
2
0
1
0
16
4
4
4
8
8
25
1
1
8
0
0
0
4
0
2
0
0
16
0
8
0
0
0
0
1
8
8
8
0
8
4
0
4
4
0
8
2
16
8
22
16
0
0
24
0
0
0
0
0
8
0
0
16
16
8
16
8
8
8
8
0
8
0
0
16
4
8
24
0
0
0
4
20
20
8
8
8
2
8
4
4
0
0
0
0
1
0
0
8
0
0
8
8
0
0
2
0
0
0
8
22
22
16
16
0
0
0
8
0
8
12
4
26
24
16
0
0
24
8
18
18
0
8
18
8
4
4
16
0
0
8
16
0
0
0
4
0
0
16
16
0
0
5
5
56
32
1
0
1
8
0
14
14
0
4
4
0
16
16
16
0
0
0
8
0
0
1
2
0
0
0
16
16
16
16
0
16
0
0
8
2
2
2
0
0
6
4
3
1
1
0
0
0
0
8
0
2
2
0
0
0
16
16
0
4
8
8
0
0
16
2
0
0
0
0
8
0
0
0
0
8
16
2
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
0
0
49
4
0
1
1
0
24
2
2
0
0
0
8
0
0
1
0
16
8
0
0
8
8
0
0
8
0
0
4
8
16
16
16
16
16
8
0
0
8
8
0
16
16
24
8
8
8
8
8
1
1
1
0
0
0
0
0
16
11
11
0
0
0
0
0
1
0
1
1
0
0
0
0
8
0
8
9
9
0
4
4
4
4
0
1
1
0
0
0
8
2
32
24
2
2
0
0
0
0
0
24
0
0
0
16
16
16
0
8
12
0
16
8
0
0
8
8
5
1
0
0
0
26
26
26
26
0
0
1
0
16
1
1
1
1
0
1
2
0
0
0
16
8
8
0
0
0
0
8
8
8
0
8
8
0
0
8
0
0
9
0
0
0
0
8
8
8
8
0
0
24
2
2
8
8
8
8
8
0
0
0
24
1
16
0
0
8
0
2
2
2
2
8
2
2
2
0
0
0
8
8
0
0
2
2
16
4
2
2
8
0
0
0
0
34
0
0
24
10
8
8
0
4
0
8
8
8
2
0
8
0
0
0
4
8
8
2
2
17
16
8
25
25
0
16
16
50
4
4
4
4
16
8
8
8
16
16
8
8
0
0
8
0
16
0
8
0
8
8
0
1
16
8
0
16
16
5
16
16
0
1
0
0
2
16
8
1
16
16
2
9
4
4
8
8
9
9
32
32
32
8
8
8
0
4
0
0
24
24
24
0
2
0
0
0
0
0
0
2
16
16
16
0
0
8
8
1
0
0
0
0
0
0
0
16
4
1
0
1
8
16
16
0
0
16
0
16
12
0
0
2
0
0
16
16
16
0
0
8
8
8
62
62
8
8
0
16
1
1
0
12
0
0
8
8
0
32
0
20
0
0
0
0
8
0
56
0
0
8
0
16
16
0
8
8
4
8
16
16
8
0
0
0
0
8
8
24
0
8
12
0
16
16
8
4
2
8
0
0
0
0
8
0
0
1
1
1
0
0
0
8
8
8
0
16
8
8
16
0
16
16
8
1
0
4
4
0
0
0
0
0
0
0
4
0
0
0
16
0
0
16
4
0
24
0
0
1
1
1
24
0
0
0
0
0
0
0
8
8
0
0
4
0
0
0
16
0
2
0
0
8
12
0
32
16
32
32
32
0
8
16
16
0
8
0
2
8
8
1
1
0
0
0
8
8
1
1
0
0
0
0
0
0
8
8
8
8
8
0
0
8
8
8
16
0
0
0
2
8
0
0
56
2
2
2
2
2
0
28
0
1
4
4
4
16
20
20
20
12
0
0
8
8
0
0
0
16
0
0
0
0
20
16
8
0
16
40
0
0
0
1
12
8
0
0
0
0
0
0
0
0
0
0
0
0
8
1
1
1
0
0
16
8
8
0
4
0
0
0
8
2
16
0
0
32
0
0
0
0
0
8
8
0
16
16
16
0
8
0
0
8
2
2
2
2
1
8
0
0
0
0
0
8
0
0
0
8
0
0
0
0
0
16
36
36
36
36
16
0
0
0
0
4
4
0
0
4
4
4
4
16
16
16
16
16
16
48
0
0
0
0
0
8
0
18
16
8
0
0
0
4
4
4
4
8
8
8
8
0
0
16
16
0
8
8
0
12
0
1
1
1
8
8
8
8
8
0
0
4
4
8
8
8
0
8
8
8
16
16
0
16
0
25
25
16
0
0
0
8
0
0
0
8
8
8
32
16
16
0
0
8
8
8
0
24
0
0
8
0
0
0
0
0
0
0
0
0
0
0
8
16
16
16
0
8
0
32
8
0
8
0
0
0
8
8
8
0
8
8
0
0
0
0
32
16
16
8
4
4
0
0
8
8
3
8
0
2
8
8
8
16
16
0
8
8
8
0
2
24
0
0
8
8
16
16
4
4
0
0
0
8
8
0
0
8
0
0
0
0
0
1
26
27
0
0
0
0
0
8
4
4
12
1
8
8
0
8
8
8
0
0
0
0
0
0
0
16
8
0
0
4
4
4
4
4
4
4
0
0
8
8
0
0
0
0
0
8
8
8
8
8
8
8
0
8
0
0
4
1
8
8
8
8
0
8
8
0
0
0
1
0
0
12
0
0
2
8
8
18
18
16
0
20
20
0
0
0
16
0
16
16
8
8
8
8
0
0
0
0
2
0
8
1
8
0
8
8
0
0
8
8
16
8
0
8
0
0
0
16
16
0
0
0
0
1
16
16
0
0
0
0
0
8
1
1
8
16
16
0
0
0
0
0
17
5
8
8
8
8
8
10
0
8
4
0
0
0
17
17
0
0
0
4
8
0
0
0
8
0
0
0
21
2
1
1
16
4
0
16
16
32
4
4
4
0
16
16
16
0
9
8
0
0
0
8
8
1
0
8
0
0
0
0
28
4
2
0
0
0
0
0
32
32
10
24
4
24
16
16
5
0
8
8
8
8
8
8
24
0
1
8
8
8
0
0
0
0
0
0
8
8
35
8
8
0
12
8
4
8
0
0
0
8
8
8
8
0
0
16
0
1
4
0
1
1
1
8
0
0
4
0
8
0
0
0
0
0
1
0
0
0
8
0
0
16
0
16
4
4
10
10
1
0
16
4
0
2
8
0
8
8
0
9
9
8
0
0
0
8
0
0
0
0
0
0
0
0
0
8
8
16
2
2
0
16
16
2
8
40
8
0
0
8
16
16
5
0
0
0
4
4
1
1
1
0
0
0
16
16
4
24
0
0
32
0
1
0
8
17
0
0
1
0
0
17
8
0
17
24
1
1
1
8
0
0
0
0
0
4
4
8
8
0
8
8
0
0
8
0
0
0
8
0
0
0
16
0
16
16
16
16
4
0
0
8
51
0
4
4
0
0
17
8
8
8
8
0
0
0
0
8
8
8
8
8
0
0
8
8
8
48
0
10
10
0
0
22
8
0
2
8
8
0
1
0
0
0
0
20
2
2
16
8
0
8
0
4
1
16
2
8
0
0
0
0
0
0
0
12
16
0
0
8
8
8
1
4
0
2
2
4
8
0
0
8
0
0
0
0
0
0
16
16
16
16
16
4
4
2
4
0
0
32
0
0
8
0
16
4
8
16
16
8
16
4
8
8
8
8
8
16
0
8
8
8
8
8
0
8
8
4
1
1
16
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
16
0
8
8
4
8
0
2
8
8
8
1
8
8
46
46
46
8
0
0
8
8
8
0
0
0
16
16
16
0
0
8
24
24
24
2
2
0
16
8
8
8
16
16
0
0
16
0
0
0
1
0
0
8
8
8
0
0
0
16
16
0
0
0
0
8
16
16
16
0
8
8
8
16
16
0
0
8
0
0
8
24
8
0
0
8
5
8
8
16
0
0
16
2
2
0
0
0
0
18
16
16
0
0
0
8
8
0
8
0
0
0
24
8
8
0
0
0
9
8
8
8
0
16
0
0
0
38
8
8
0
0
0
0
0
0
0
8
8
16
8
0
8
0
2
8
0
0
0
8
8
16
0
1
8
8
0
32
8
8
0
0
8
32
32
20
20
0
0
16
16
16
16
0
8
0
0
16
16
8
8
8
8
8
8
0
0
12
0
0
4
16
8
0
24
24
17
0
0
50
8
0
8
8
16
0
0
0
24
0
0
16
0
0
28
19
2
2
0
17
0
16
0
0
16
0
0
34
8
1
0
0
2
0
4
16
8
1
0
0
16
24
25
0
1
8
0
0
0
0
1
8
1
1
16
8
0
8
8
8
0
8
9
8
8
0
8
8
8
8
8
2
0
4
8
8
0
0
24
0
0
8
8
8
8
0
16
4
0
0
16
4
0
0
0
1
0
0
4
4
4
0
2
4
0
3
10
16
16
0
4
16
16
0
0
8
16
22
0
2
0
16
16
0
16
8
0
8
0
0
0
0
4
4
4
16
16
1
0
8
8
4
4
0
17
17
0
0
16
0
8
24
16
0
0
0
0
0
4
8
32
0
0
8
8
0
0
0
0
0
16
0
2
2
0
10
1
1
1
8
8
0
0
0
4
1
4
1
16
8
8
8
16
0
0
16
8
8
0
16
16
16
8
8
0
8
0
8
8
0
30
2
0
8
8
16
0
0
0
2
2
8
0
16
8
1
8
2
8
16
2
0
0
0
16
0
16
0
0
32
8
4
3
0
8
8
8
8
0
0
8
0
8
8
8
1
0
0
0
0
0
0
4
8
1
1
1
1
0
8
1
22
8
8
8
8
2
4
16
16
16
16
16
16
16
8
0
16
16
16
8
0
0
0
0
18
36
16
16
0
16
0
0
20
4
8
0
0
8
16
0
0
0
8
4
4
0
16
0
4
17
9
20
24
16
0
0
0
20
0
0
0
8
0
24
16
6
0
0
8
24
0
8
0
0
0
0
12
8
8
8
8
0
0
0
0
0
0
2
0
1
8
8
16
16
16
0
0
0
8
8
16
0
0
8
20
0
0
0
0
0
0
0
3
27
27
1
0
31
8
0
16
16
16
16
16
16
0
8
0
8
4
0
32
0
0
2
20
0
1
18
8
8
2
2
0
0
0
0
0
0
0
16
16
16
8
8
0
4
0
8
8
0
0
0
0
2
2
0
0
0
0
16
1
16
16
16
0
0
0
6
0
1
1
0
16
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
16
4
4
0
0
8
8
8
8
0
0
0
0
8
8
0
0
0
0
1
1
8
4
4
24
16
0
16
0
63
63
63
8
0
0
0
0
24
24
16
8
2
2
0
0
0
0
2
4
0
0
0
0
0
50
24
8
0
0
0
0
16
8
0
4
4
0
0
0
0
16
0
0
0
0
0
8
8
0
8
0
0
0
0
0
0
8
0
0
0
8
2
2
2
0
8
8
12
8
0
8
8
17
17
16
16
16
0
4
8
2
0
4
4
0
4
0
0
0
0
0
16
42
0
20
3
3
16
20
32
0
0
0
0
8
12
12
0
8
8
16
4
2
8
0
1
1
1
8
8
8
16
8
4
4
4
16
0
0
0
8
4
0
0
12
0
0
16
16
0
0
0
0
16
0
0
20
20
0
0
0
4
16
16
0
0
0
0
0
0
0
8
8
8
16
21
21
21
21
0
1
25
0
0
8
0
8
0
0
0
4
0
0
2
4
0
8
0
0
16
0
0
0
0
0
0
0
16
0
0
0
8
8
0
1
1
8
8
1
1
8
8
8
8
8
8
1
0
0
0
0
18
0
8
8
24
0
8
0
16
1
1
1
1
0
16
2
4
4
0
40
0
0
0
0
16
0
4
8
8
8
0
0
8
4
8
8
16
16
8
8
8
2
0
0
25
8
8
8
0
2
2
8
16
2
0
0
8
0
0
0
0
6
6
6
0
0
16
16
16
16
8
8
8
8
2
0
0
8
8
8
40
8
16
0
4
4
0
8
1
0
2
32
8
4
0
0
0
20
8
4
18
2
16
0
8
0
8
0
16
16
0
0
0
12
12
0
0
0
8
5
5
4
0
16
8
0
0
4
0
0
0
8
20
20
0
8
8
4
16
16
16
32
0
0
0
0
4
4
32
16
8
0
0
0
0
0
8
8
8
0
0
0
16
16
0
2
6
0
0
0
4
1
8
16
0
0
8
4
4
16
16
16
16
16
8
8
0
0
0
8
0
8
8
0
0
0
0
40
24
8
13
13
8
8
0
0
0
4
8
8
16
16
16
16
8
8
8
8
8
0
0
16
16
9
0
0
0
0
16
16
0
0
12
0
1
1
1
1
0
1
4
0
0
0
17
17
17
1
1
8
0
0
24
0
8
0
9
32
0
8
0
12
12
12
12
12
12
14
12
16
0
8
8
8
21
8
8
8
0
20
16
0
0
4
4
0
28
24
24
0
0
0
0
0
0
1
1
1
24
8
16
16
0
16
0
0
8
8
8
8
4
8
8
8
12
4
4
4
10
0
8
8
8
0
0
1
0
32
0
0
0
0
0
0
8
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
16
8
8
18
18
4
8
4
1
8
8
8
8
0
8
8
8
8
8
0
0
0
0
0
8
0
0
0
0
0
0
0
1
1
8
0
0
0
0
4
4
0
2
0
0
0
0
8
0
8
8
0
1
1
0
1
1
8
16
16
8
0
0
0
0
0
0
2
2
0
0
2
2
2
8
0
0
8
0
32
18
8
8
16
0
8
0
0
8
16
0
8
8
8
8
17
17
17
17
16
16
0
8
0
0
0
0
8
0
16
2
8
8
8
32
2
1
8
8
8
0
28
2
17
17
0
3
3
4
4
4
4
4
4
4
1
16
0
0
0
0
0
8
8
8
10
0
0
24
8
0
0
0
0
4
4
4
0
0
16
16
16
16
16
8
0
8
0
0
0
0
8
8
0
0
0
0
8
8
0
2
0
0
0
0
0
0
1
1
0
16
2
0
8
8
0
16
0
16
16
0
8
8
2
0
0
0
8
8
16
2
0
8
8
8
16
0
8
8
1
0
8
8
8
4
0
0
0
8
0
8
16
0
2
2
8
8
1
0
8
8
8
8
0
8
8
4
0
0
0
0
0
0
0
12
0
13
12
0
16
16
24
8
8
0
0
16
0
0
0
0
0
0
0
16
16
8
8
4
8
8
8
0
0
16
8
0
0
0
8
8
8
0
0
0
6
1
8
16
0
20
8
8
25
0
0
0
4
4
8
0
0
8
8
0
8
16
0
8
24
24
0
8
0
16
36
8
0
0
0
0
16
0
0
16
16
0
0
0
0
0
1
1
1
0
8
8
8
16
0
0
8
0
24
0
0
8
8
24
0
0
8
0
0
0
0
0
8
0
16
16
8
8
16
0
8
0
4
0
0
0
8
0
8
8
0
0
12
0
0
8
2
8
0
5
4
0
4
0
0
0
2
0
8
8
4
4
4
1
1
2
0
0
0
2
1
8
19
19
19
24
0
0
16
16
0
3
3
0
0
48
0
0
8
8
8
8
8
8
4
0
0
0
0
0
0
4
4
4
20
4
0
0
1
1
0
0
0
1
0
16
8
0
16
16
0
0
0
0
8
4
16
5
16
2
8
8
16
16
16
16
0
0
9
0
1
8
8
8
8
0
16
16
16
16
0
4
16
1
8
0
4
0
0
0
0
20
0
4
16
0
16
16
0
4
8
25
25
0
8
8
8
8
49
0
24
0
0
0
16
0
0
16
8
8
16
16
0
0
4
12
8
8
16
4
4
16
0
16
0
0
0
0
0
0
8
32
32
5
5
0
0
1
0
0
0
1
24
24
0
0
17
16
16
20
0
4
36
44
0
0
0
8
24
0
0
0
8
34
34
8
8
17
2
24
24
2
0
0
0
2
12
8
16
0
18
8
8
8
0
8
8
0
0
4
0
8
8
0
8
8
4
0
8
0
0
0
9
9
40
4
4
8
0
16
0
12
0
0
0
0
8
8
0
0
0
8
3
0
0
0
0
0
0
0
16
24
16
8
8
0
4
0
8
0
0
8
2
2
1
0
0
0
0
8
8
0
0
0
8
0
16
16
16
16
0
0
0
16
0
8
8
0
0
0
9
9
9
0
33
0
0
0
0
16
16
16
8
8
0
0
0
8
8
8
8
0
0
16
0
0
0
0
0
60
16
16
16
16
0
4
8
8
0
0
8
8
8
8
4
6
6
6
1
9
8
0
0
1
24
0
1
4
0
0
0
0
0
0
53
0
0
16
4
8
3
3
16
1
8
0
20
8
0
0
1
0
0
0
8
0
0
4
4
4
0
0
0
16
9
8
8
4
2
2
13
18
18
4
4
16
16
4
0
0
0
8
8
4
0
0
8
0
8
0
16
16
8
16
16
0
0
0
8
8
0
16
2
4
1
0
0
4
24
16
0
0
17
0
0
0
0
0
0
8
22
22
16
4
10
10
10
8
0
18
0
0
0
0
0
18
0
0
8
8
8
4
0
2
0
8
16
0
0
0
0
8
0
0
16
8
0
0
8
16
8
0
16
16
8
0
0
0
8
0
0
1
1
1
1
8
1
0
8
8
8
4
0
0
0
0
0
0
0
4
8
8
0
0
0
24
0
0
16
17
0
0
4
4
16
0
0
4
8
8
2
2
2
0
11
0
0
0
20
0
0
12
32
4
8
0
0
1
16
16
16
0
0
8
2
2
1
0
0
8
0
0
8
0
0
0
0
0
40
0
0
1
1
1
0
0
1
0
0
8
0
0
8
25
8
8
8
2
0
4
8
8
8
0
0
0
4
8
0
32
8
0
0
32
32
0
16
0
0
0
8
0
8
4
4
4
8
0
16
8
8
16
0
8
0
0
0
1
0
16
16
8
1
34
34
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
4
0
0
8
8
8
0
0
16
0
0
2
16
4
4
0
0
16
18
12
4
8
8
0
8
8
8
8
0
4
0
0
8
8
8
0
0
0
0
0
0
0
2
8
8
0
0
0
0
8
8
0
0
8
0
4
0
0
18
11
11
8
0
8
0
0
8
12
12
3
3
3
3
3
8
0
16
16
16
16
1
1
1
0
0
0
0
12
12
8
8
8
8
8
8
16
16
0
8
8
0
0
0
0
8
24
0
16
2
2
0
8
8
16
16
0
1
0
0
0
0
0
16
16
16
0
0
8
8
8
1
0
2
24
0
0
0
0
4
4
16
16
2
0
0
0
0
0
0
0
8
8
0
0
8
8
0
0
0
0
16
16
8
8
8
0
0
0
0
0
0
0
40
2
32
0
0
16
57
0
0
8
0
8
8
0
0
0
0
0
8
1
20
8
0
0
8
8
0
20
0
8
8
8
0
0
0
0
8
8
4
4
0
0
10
8
8
8
0
1
1
8
1
0
0
8
16
16
2
8
8
0
2
0
0
16
8
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
16
16
0
4
4
4
0
0
18
8
8
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
2
2
0
16
0
0
0
0
24
0
0
0
16
16
2
16
8
8
8
0
0
0
0
4
17
8
8
8
8
8
16
16
1
8
0
0
0
18
18
16
16
0
0
8
8
8
8
0
0
16
16
16
8
8
0
0
40
40
1
8
8
8
0
8
8
8
12
0
0
0
0
0
2
0
0
8
8
24
0
16
16
16
16
16
16
16
8
8
8
8
12
32
32
32
0
2
16
16
16
8
8
2
0
8
8
0
20
20
0
1
16
16
16
0
0
24
24
24
24
24
0
0
0
0
16
16
16
24
24
8
8
0
14
14
14
1
1
0
8
0
16
16
8
4
4
5
4
4
4
0
0
0
16
16
16
16
16
8
8
8
8
0
0
16
1
1
2
2
2
2
2
2
8
8
8
8
8
16
16
8
0
16
0
0
5
5
5
5
4
49
40
16
0
0
0
0
1
1
1
1
1
2
2
0
16
16
28
1
9
16
16
0
8
8
8
8
8
8
0
16
0
16
8
16
18
4
4
16
0
0
0
32
32
32
4
8
16
8
0
1
16
16
0
8
8
8
8
0
0
25
1
1
4
4
4
4
0
0
0
32
32
8
4
8
1
1
8
0
16
24
0
0
1
32
4
0
8
8
8
20
20
8
0
0
8
24
16
0
4
8
8
16
0
9
32
16
8
8
4
16
0
0
0
20
20
8
0
0
3
3
3
2
0
8
8
4
32
0
0
21
4
20
16
16
16
16
16
16
16
16
8
8
8
8
4
16
16
0
1
0
0
8
0
0
4
8
8
0
4
4
4
8
0
8
0
0
0
0
0
0
0
4
2
24
8
1
1
1
17
0
0
0
8
8
8
1
0
0
0
0
16
0
4
16
8
1
1
1
1
1
0
0
0
0
2
2
24
16
16
16
0
4
16
8
0
0
1
0
0
2
8
0
8
0
16
16
0
17
4
4
4
4
0
10
10
0
0
0
0
0
0
0
0
24
0
8
16
0
8
0
0
0
16
8
8
0
0
8
12
1
25
25
25
25
25
0
16
16
8
8
14
14
0
0
0
0
0
16
16
4
2
0
0
16
0
0
0
17
0
0
0
8
1
0
0
8
1
1
8
4
20
16
0
1
0
0
20
0
0
0
0
0
0
0
0
12
8
0
0
4
8
16
0
0
16
8
8
0
0
0
0
0
0
2
0
0
0
16
0
8
1
1
1
8
8
8
8
8
8
0
8
6
12
16
8
8
0
32
32
32
32
32
0
1
16
4
4
8
1
1
0
8
2
16
0
0
0
0
4
1
24
2
32
0
8
8
24
0
0
8
8
8
16
16
16
16
0
4
4
0
8
8
0
0
8
0
0
4
8
8
8
0
0
24
0
28
4
0
8
33
33
33
33
33
1
0
0
16
16
8
24
24
0
16
16
16
1
16
16
16
16
16
16
0
0
8
1
1
0
9
0
8
0
8
16
1
8
4
0
0
0
0
0
0
0
1
1
1
1
16
9
17
16
17
2
4
4
2
16
0
0
8
0
0
0
0
0
16
0
16
1
0
8
8
0
0
0
0
0
4
4
4
24
8
8
8
0
4
4
4
0
0
1
1
1
0
0
8
8
8
0
8
8
8
8
8
8
8
0
12
4
4
12
16
16
8
8
8
8
0
51
4
0
0
0
16
16
8
40
8
0
24
16
8
0
0
0
0
32
0
8
0
8
8
0
0
0
2
1
0
0
0
0
2
0
8
3
7
0
16
16
8
8
4
16
8
0
8
8
16
16
16
8
8
8
0
0
0
1
1
16
16
16
0
0
0
0
0
0
0
8
8
0
0
0
4
4
4
4
4
4
4
8
0
0
16
2
8
8
0
0
0
0
16
0
0
0
0
33
1
4
4
4
8
0
16
16
0
8
8
8
8
0
8
0
0
8
0
8
16
16
0
0
0
0
2
3
0
8
0
24
0
3
0
0
8
16
0
0
8
16
48
16
0
4
32
0
0
0
0
4
0
0
0
0
0
0
0
0
0
8
0
32
32
32
0
8
8
0
0
0
0
0
0
16
40
0
0
5
16
2
8
8
8
8
8
0
8
8
0
10
4
0
16
0
4
5
0
8
8
1
16
8
1
0
0
0
4
12
0
0
2
20
20
20
20
20
8
16
16
16
0
0
16
16
0
16
0
0
0
8
8
0
0
0
0
0
0
8
0
0
0
0
0
0
1
8
1
16
0
4
0
0
0
0
0
8
8
33
0
8
17
4
8
8
0
0
0
32
32
0
0
0
1
0
0
0
16
16
16
16
16
16
16
16
8
8
2
3
0
0
0
2
0
16
0
0
0
1
16
16
16
0
0
30
32
1
8
8
0
24
24
16
16
0
0
1
1
1
1
1
0
0
0
0
0
0
0
8
8
16
0
0
8
8
3
16
18
18
18
8
0
0
0
0
2
2
2
0
8
8
8
8
4
4
4
8
0
4
4
0
8
8
8
24
24
8
8
2
8
2
8
32
8
8
8
8
8
8
8
20
8
2
0
0
0
0
1
1
2
8
8
8
8
8
0
0
0
0
0
0
16
16
16
2
2
0
16
1
4
8
8
18
25
25
25
8
1
8
18
18
16
8
0
4
4
0
9
9
9
9
9
9
9
9
0
8
8
8
8
8
0
0
8
8
8
8
0
0
8
8
8
8
8
8
0
0
1
0
0
0
0
0
0
8
0
4
4
4
24
16
8
16
0
0
16
18
0
8
8
8
0
1
0
0
0
8
0
8
40
2
8
22
22
0
4
16
4
4
1
0
0
0
0
0
0
0
0
1
0
0
8
8
8
0
0
0
8
8
4
8
8
8
0
16
0
0
0
0
4
0
20
0
0
2
2
16
4
4
4
4
0
0
16
8
2
0
8
8
0
0
8
8
2
2
8
8
8
8
8
16
16
8
0
0
0
0
24
4
8
0
0
8
1
1
16
16
16
16
16
16
16
16
16
0
0
0
0
16
19
0
8
8
8
8
16
16
16
16
8
8
8
8
8
4
4
8
6
24
0
0
0
0
0
8
8
0
16
0
0
1
8
8
0
0
0
0
0
0
0
0
4
4
32
4
2
16
16
16
2
0
8
0
8
8
8
0
2
0
0
16
16
16
2
2
0
0
0
0
16
16
16
4
4
8
8
16
0
4
4
0
57
8
32
8
8
16
16
16
16
8
1
2
2
2
0
0
16
1
8
0
0
16
16
1
8
8
8
8
16
16
12
12
12
12
12
16
16
0
0
8
8
8
1
1
0
16
16
0
0
0
0
8
0
1
0
0
0
0
0
0
0
8
0
0
4
4
0
36
8
8
8
0
0
0
0
0
0
0
0
16
8
0
0
2
16
16
0
2
2
2
2
2
10
10
0
16
16
0
0
16
16
16
1
1
1
1
1
1
1
1
1
1
1
2
8
0
0
0
0
1
0
16
0
1
10
0
4
4
4
0
1
1
1
4
0
16
37
0
2
2
8
8
0
12
12
12
16
8
20
20
0
1
1
1
0
0
16
0
20
0
4
0
0
8
8
8
8
0
0
0
2
0
0
0
0
8
40
0
0
0
1
8
8
0
24
24
0
12
0
16
0
0
24
2
32
24
24
1
0
0
16
16
0
1
0
0
8
8
8
8
2
8
1
12
12
4
8
8
8
6
16
16
16
4
4
0
4
4
4
4
16
16
16
16
16
8
8
0
4
1
16
16
0
8
8
0
0
2
2
2
8
0
6
1
8
16
16
16
0
0
0
0
0
0
0
20
8
8
0
0
16
2
0
0
8
0
16
0
0
0
0
0
1
1
1
1
0
0
0
0
0
0
0
1
1
0
0
8
8
8
0
0
16
16
16
0
0
0
0
24
24
4
0
4
0
33
8
8
0
0
0
8
0
0
0
8
8
8
2
0
0
8
0
0
8
0
16
4
4
4
8
8
0
8
8
8
4
4
4
4
16
0
24
8
8
8
0
0
16
16
32
32
8
8
8
0
8
8
1
2
2
0
0
8
8
8
8
8
24
16
16
4
8
8
8
8
0
0
0
0
24
24
24
24
24
0
0
0
0
0
16
33
1
0
0
8
8
8
8
0
0
0
0
0
0
16
16
8
0
0
1
1
4
16
0
16
0
61
16
0
8
8
8
1
0
0
2
2
8
32
32
16
4
8
8
8
8
8
8
8
16
4
1
24
24
0
0
0
0
4
16
16
16
0
0
0
0
16
0
8
8
0
8
0
0
0
0
8
8
0
0
0
0
4
0
0
0
0
4
4
4
2
0
0
0
0
0
0
2
2
0
2
0
0
0
0
8
8
1
2
2
2
0
0
0
1
0
8
8
16
0
8
0
0
0
8
1
8
16
16
0
0
32
0
0
24
0
8
2
2
8
8
0
0
0
1
32
8
8
0
0
8
0
16
8
2
2
0
0
0
4
4
8
8
0
0
0
0
0
8
8
8
8
0
0
16
0
0
0
8
8
8
16
16
0
1
16
16
16
16
4
0
0
0
0
8
8
0
0
16
8
0
0
0
2
4
0
25
16
4
4
4
4
4
0
0
16
16
0
8
16
16
0
0
0
0
16
16
8
8
0
0
16
16
0
4
32
11
29
29
14
14
8
20
0
8
8
0
0
0
0
0
0
0
0
0
8
8
16
24
24
24
0
2
4
4
4
0
8
16
4
32
32
16
16
2
0
26
0
16
8
8
2
4
4
32
0
4
4
4
32
32
32
20
0
16
16
8
0
0
0
0
0
16
0
0
0
8
0
2
16
16
16
16
16
16
2
2
0
8
8
8
8
4
0
0
0
4
4
40
0
0
0
0
0
0
0
0
0
40
40
16
0
2
0
28
16
9
0
0
0
0
8
8
8
0
1
4
0
0
0
2
20
0
0
4
4
32
8
1
0
8
0
8
0
0
0
0
0
16
16
0
16
0
0
8
0
0
4
3
2
0
0
0
16
0
8
8
8
16
0
0
0
0
8
8
8
16
16
16
8
0
0
0
0
0
0
0
0
0
16
8
8
4
8
8
0
0
0
0
0
8
8
8
8
8
8
8
0
0
0
1
2
0
2
2
2
2
2
2
2
24
0
0
0
1
1
0
0
0
0
0
0
8
1
0
8
8
8
8
8
8
2
0
8
8
8
0
2
8
8
8
29
29
29
29
8
8
8
8
8
8
8
16
8
8
0
8
6
0
8
4
0
16
16
16
16
16
16
0
0
20
20
8
9
16
0
8
8
8
8
8
0
0
0
0
0
12
8
8
8
8
8
16
8
16
10
10
10
10
16
0
40
8
8
8
8
8
4
4
4
0
4
4
0
0
14
0
16
16
2
2
16
16
16
8
2
2
17
0
0
0
0
0
32
8
1
40
40
40
40
8
1
16
16
8
8
0
8
8
8
2
8
8
8
8
23
23
23
23
23
23
23
16
16
16
16
0
0
0
0
0
4
4
4
4
4
0
36
0
0
0
16
16
0
5
5
2
4
0
32
32
32
32
8
0
0
8
8
0
0
4
0
0
0
0
4
0
0
16
16
16
1
12
8
8
1
16
16
16
2
8
8
0
1
1
8
8
0
4
4
8
12
4
0
0
8
8
0
8
8
0
0
8
0
9
9
32
0
0
8
0
0
8
8
8
20
20
8
16
8
4
16
0
8
16
0
0
0
0
10
4
8
8
0
8
0
16
18
18
13
0
0
0
8
0
2
8
8
8
8
0
0
8
0
0
24
24
1
1
1
1
1
1
1
1
1
1
16
0
33
33
0
8
12
2
2
24
1
2
0
16
0
0
0
42
0
0
0
8
0
8
8
0
16
16
16
8
16
16
16
16
4
4
8
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
8
0
0
0
8
16
16
16
16
0
8
8
16
16
16
16
0
0
0
0
18
0
0
16
16
16
16
16
16
16
8
8
8
8
8
8
16
16
16
16
4
8
0
0
57
1
1
1
1
1
8
16
16
16
16
16
16
16
16
0
0
1
0
0
0
16
0
0
0
16
1
1
1
8
8
0
0
0
0
0
16
8
8
8
1
1
16
4
4
0
16
8
4
1
0
0
16
8
16
24
24
4
4
4
4
4
8
0
0
4
8
16
24
9
0
16
0
4
2
8
8
0
16
16
0
1
16
1
0
4
4
24
0
0
0
8
32
32
0
4
8
0
0
0
4
8
0
2
0
0
2
4
1
1
8
8
8
8
0
0
0
4
4
0
16
0
16
16
0
0
0
16
16
8
0
8
0
14
8
0
0
3
0
0
0
0
0
8
8
8
8
16
16
8
8
16
16
8
16
0
4
0
0
0
0
0
0
32
32
16
0
16
0
0
0
0
0
0
8
0
8
8
4
20
4
4
16
16
0
16
16
0
0
8
0
0
0
1
8
9
57
57
0
0
16
3
3
0
0
16
16
20
0
0
8
8
0
0
0
8
8
8
8
8
8
8
4
0
0
25
0
0
0
0
48
16
1
0
8
32
2
2
0
8
16
16
0
16
16
0
8
8
8
8
8
8
8
0
8
0
1
0
0
8
8
24
0
0
0
8
8
8
0
0
4
0
1
36
16
0
8
8
0
4
0
8
8
8
0
16
6
6
0
21
8
8
8
8
0
8
0
0
0
2
2
16
16
16
4
34
34
32
32
32
32
8
0
0
8
8
8
8
0
16
0
0
0
0
0
0
0
17
17
8
0
0
0
0
0
8
17
8
8
16
16
11
0
4
0
0
0
8
16
16
16
16
16
16
16
60
0
0
16
0
0
8
8
8
16
8
0
4
0
0
0
0
32
32
32
0
8
0
0
0
16
16
25
25
25
25
2
0
0
0
5
4
1
0
24
8
24
0
1
1
0
0
0
0
16
16
16
48
48
48
48
48
48
48
24
0
26
26
0
0
0
8
0
0
33
8
8
1
0
0
0
8
8
0
16
0
0
16
0
2
0
24
24
24
24
16
16
16
8
8
8
0
0
1
1
1
2
0
0
0
40
4
8
16
1
5
8
1
2
0
0
0
5
0
16
16
16
8
33
16
0
0
8
8
16
24
24
0
8
8
8
0
0
8
24
24
0
2
0
4
4
16
4
4
4
0
1
8
0
16
0
0
0
0
20
0
1
8
0
0
8
0
3
2
16
8
8
8
16
0
0
0
0
8
8
8
8
4
0
8
0
0
12
12
4
0
0
8
8
8
0
24
8
0
8
8
0
0
8
16
0
16
16
0
0
0
8
16
16
8
16
16
32
32
32
16
8
0
5
5
5
0
0
8
16
16
16
16
16
2
0
0
0
2
8
8
8
8
0
32
32
0
0
8
8
8
8
8
0
0
8
16
10
10
4
4
4
2
2
0
8
8
1
0
0
0
8
8
0
0
0
8
0
0
0
0
0
0
32
0
0
0
0
0
0
0
6
6
2
2
2
0
0
0
0
13
13
13
0
1
24
0
8
8
8
0
8
8
8
0
0
8
8
0
0
1
0
0
0
16
16
16
28
24
16
0
8
2
2
16
16
0
0
0
24
24
24
24
24
0
1
1
1
16
16
0
0
0
0
0
0
2
2
0
0
0
0
0
16
0
0
24
0
0
0
0
0
0
43
0
0
0
8
16
0
0
0
0
8
0
0
24
16
16
18
8
2
16
1
1
24
24
8
0
0
0
0
4
4
0
4
4
4
4
4
8
8
8
0
0
0
1
1
24
8
8
4
1
32
32
32
32
32
0
0
0
0
0
0
0
17
16
2
0
0
2
2
3
20
20
20
16
32
32
32
32
32
0
0
16
32
4
0
16
20
0
16
0
8
8
8
24
8
4
4
3
16
0
0
4
0
0
0
16
0
17
17
17
8
8
4
4
4
0
0
0
0
8
8
8
8
0
0
1
13
12
0
0
8
8
1
3
0
9
1
4
0
0
0
0
0
0
0
0
0
8
8
16
16
16
0
24
0
0
24
24
24
24
0
0
8
8
8
8
0
0
16
0
0
32
8
3
16
18
0
4
4
1
4
12
4
4
4
16
8
8
8
2
2
16
16
0
1
1
1
1
35
35
0
0
0
0
0
0
16
24
9
9
9
16
1
1
16
16
16
16
16
0
0
0
8
0
16
16
0
8
8
22
22
16
0
0
0
0
0
8
12
4
4
0
16
2
2
8
8
0
0
0
1
20
20
2
2
16
22
17
0
8
0
4
4
4
4
5
8
1
1
16
16
20
8
0
0
0
0
0
4
0
0
0
0
0
0
0
0
32
0
0
16
1
0
0
4
20
20
20
20
8
9
8
16
16
16
0
0
8
8
8
8
8
28
17
1
8
8
8
16
8
2
0
0
16
8
8
16
0
8
1
1
0
0
1
0
0
8
8
2
2
8
8
8
4
8
16
16
0
0
0
4
16
0
16
1
32
8
4
0
0
0
8
0
0
16
0
8
16
16
8
0
0
8
8
8
1
8
0
0
8
8
27
27
0
0
0
0
0
10
10
10
4
0
16
8
0
0
0
0
21
21
3
1
6
2
8
8
8
8
0
0
0
0
0
1
1
8
0
0
0
16
4
0
0
0
0
1
1
1
8
1
8
8
16
0
0
24
8
4
4
4
4
4
4
4
4
4
8
8
8
0
16
16
16
16
16
16
2
2
0
0
0
0
20
0
1
1
16
8
2
2
9
0
16
16
16
0
4
20
32
32
4
0
0
16
16
16
16
16
0
0
0
16
16
16
8
8
8
0
1
0
0
0
16
0
0
1
8
8
2
2
0
4
4
16
16
16
4
16
0
16
16
16
16
0
8
8
8
0
0
0
0
8
16
16
0
0
0
0
8
2
2
8
8
0
0
16
8
8
8
2
4
8
1
0
0
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
32
32
8
8
0
0
8
0
0
0
0
0
0
0
0
0
24
16
16
16
16
16
0
0
0
0
0
8
8
16
0
0
0
8
8
8
0
0
25
16
16
8
8
8
8
8
16
16
16
16
0
0
0
0
8
8
0
1
1
0
0
0
0
8
0
16
8
8
8
0
16
0
0
0
0
16
8
8
0
0
0
0
1
1
39
39
39
39
12
12
12
12
0
0
8
8
0
0
8
8
0
24
0
16
0
0
16
1
0
0
0
32
2
2
16
24
16
0
24
8
16
0
0
8
1
1
1
16
0
8
8
0
8
8
0
2
1
4
0
2
0
8
0
1
1
0
0
8
0
16
1
16
16
8
0
0
16
0
0
32
8
8
8
16
16
20
2
0
0
0
33
1
0
8
8
8
8
8
0
0
4
0
0
8
0
0
8
8
24
4
8
8
8
1
1
1
32
32
16
32
0
0
0
0
0
16
16
16
4
4
8
18
18
8
9
8
0
2
0
0
16
16
0
0
0
0
2
2
2
16
8
8
2
24
8
8
16
16
24
8
0
16
0
4
4
16
16
16
16
16
8
8
8
8
8
8
8
16
16
8
32
8
24
0
9
8
8
0
16
4
4
4
4
32
16
16
16
16
16
16
0
9
32
41
41
41
1
1
1
0
0
16
0
0
0
0
0
16
8
16
16
16
0
0
0
0
0
16
4
8
0
0
8
0
6
6
8
8
0
0
0
4
16
8
8
8
16
16
8
8
16
16
9
0
8
8
8
18
0
0
0
0
0
0
0
0
0
16
16
16
16
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
8
20
20
0
0
0
12
2
2
4
24
24
0
0
0
8
8
8
16
0
8
4
32
8
32
32
16
16
8
0
4
0
8
16
16
8
12
12
0
16
16
16
16
16
16
16
16
16
24
4
0
4
4
4
16
0
8
8
16
8
8
16
16
0
24
24
0
0
0
0
0
0
4
16
0
0
0
0
8
8
8
2
0
0
8
0
8
8
8
8
1
0
0
16
0
4
4
0
0
0
0
0
16
16
0
8
12
8
24
6
6
16
16
8
4
4
4
8
8
8
8
8
8
8
0
32
16
2
2
2
4
8
8
0
8
8
8
16
0
8
0
0
4
10
10
10
8
8
8
8
0
0
2
26
26
26
26
0
0
14
8
0
0
8
8
0
0
4
16
16
16
8
0
0
0
8
0
0
22
22
2
2
12
0
0
0
4
4
4
0
0
17
0
0
16
16
0
0
18
0
16
0
2
2
0
0
16
16
16
0
2
8
9
16
9
8
8
4
4
1
1
2
2
2
2
2
0
4
4
8
0
0
0
8
16
8
8
0
8
8
8
4
4
2
32
4
4
8
8
32
32
16
0
2
24
16
16
16
16
0
0
0
0
16
16
16
0
0
24
24
8
8
0
0
0
0
0
0
8
0
0
0
1
8
8
0
2
2
0
36
0
0
0
0
9
8
8
8
8
1
12
8
8
8
8
8
0
0
8
8
17
4
6
6
6
0
2
2
32
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
8
8
8
0
0
16
16
0
4
17
17
17
17
32
32
0
12
12
12
20
8
8
40
40
40
40
16
0
0
32
17
16
0
0
8
8
8
0
14
8
0
0
8
4
3
2
2
8
18
0
8
0
0
0
0
1
0
8
1
1
8
8
16
16
0
0
8
8
1
1
0
0
4
16
16
0
1
5
5
8
8
0
16
4
8
8
16
16
16
16
16
16
8
4
4
8
8
8
18
0
0
0
12
0
8
8
4
5
0
24
0
32
32
0
16
8
8
0
43
0
0
0
0
1
0
0
0
0
0
16
16
8
18
0
16
0
0
0
36
0
0
0
0
4
0
0
1
0
0
7
0
0
16
16
0
0
0
0
0
0
16
0
0
0
8
8
16
16
16
16
16
16
8
8
8
8
16
0
1
0
0
32
0
1
1
1
0
8
20
0
8
0
8
32
24
0
16
9
1
2
2
2
8
8
8
0
0
0
9
1
8
0
0
8
17
0
0
0
16
16
8
0
0
0
18
18
0
0
16
16
0
0
0
4
4
8
2
0
0
0
0
0
0
0
0
16
27
27
0
4
16
16
16
0
16
16
16
16
1
0
0
49
49
2
0
8
0
0
16
8
8
1
16
1
8
0
0
8
2
2
0
32
40
1
1
8
8
8
32
16
16
16
16
0
8
24
0
12
0
8
0
16
16
16
16
16
16
16
16
16
0
16
16
16
16
16
4
1
4
16
8
0
8
20
0
0
8
0
0
4
12
12
4
4
0
0
0
32
16
0
0
8
8
8
0
0
0
0
0
16
32
8
8
16
16
16
16
8
8
8
2
2
12
0
33
33
0
1
0
0
0
1
1
8
0
8
0
2
2
0
0
8
16
16
16
16
16
8
8
24
8
8
4
0
16
16
2
8
4
4
24
24
8
8
1
0
0
0
2
0
4
4
4
0
0
4
2
2
2
0
0
8
8
16
16
1
1
1
1
17
8
8
8
32
24
16
16
4
20
20
0
0
2
2
59
0
0
16
16
16
16
0
0
0
0
8
0
0
8
8
32
32
32
32
0
0
1
6
16
1
0
25
25
16
16
0
0
4
16
0
0
8
9
10
0
0
8
1
1
16
16
16
16
16
16
16
0
16
16
8
8
8
0
0
0
0
0
0
0
63
10
10
10
10
0
1
0
0
8
0
0
0
1
1
1
8
8
8
8
8
32
0
0
0
0
1
4
4
4
8
16
16
16
0
0
1
1
0
4
11
8
0
0
0
0
0
8
8
0
35
35
35
35
4
2
8
0
0
16
8
8
8
8
0
0
8
8
8
8
1
0
16
0
8
0
8
0
20
0
0
0
2
0
24
24
8
17
0
20
0
0
8
8
8
0
0
0
0
0
20
16
0
0
33
33
0
0
0
0
0
16
24
16
44
48
0
0
11
8
0
8
8
16
16
0
0
0
0
8
0
0
32
0
0
16
16
16
16
4
0
0
0
8
8
8
6
6
16
16
16
16
16
12
16
16
1
1
0
0
8
25
25
0
0
0
2
0
2
2
2
8
8
8
16
0
0
8
9
8
0
8
4
4
4
32
32
32
0
1
1
0
0
0
0
0
0
0
0
0
16
24
16
16
1
8
0
8
8
8
0
0
0
0
4
4
16
16
16
0
0
1
16
16
19
32
32
0
16
0
0
16
16
16
16
8
8
0
0
8
0
0
0
0
0
0
0
0
0
16
16
16
4
16
16
16
0
0
0
8
0
8
8
16
28
28
32
16
16
0
9
8
4
0
0
0
8
1
0
4
4
16
16
0
8
16
16
16
24
24
0
0
0
0
0
0
0
8
8
8
18
8
8
0
0
0
0
12
16
16
0
8
8
0
0
0
18
20
20
0
0
0
8
0
0
0
0
1
0
12
12
0
0
0
8
0
0
0
0
16
16
8
2
4
8
8
16
16
1
8
17
0
0
2
0
2
2
2
16
16
8
0
8
0
16
0
0
8
4
0
28
0
0
1
1
1
8
8
8
0
16
0
8
0
8
0
0
0
0
4
2
18
17
17
0
0
1
1
8
8
0
48
8
8
0
8
0
0
8
2
8
0
8
16
16
24
24
16
16
0
8
0
0
8
8
8
0
32
32
16
24
24
0
0
16
16
1
1
1
8
8
0
8
0
0
0
0
4
16
16
16
0
0
0
0
0
0
0
8
0
0
0
0
8
1
1
1
0
8
0
16
16
0
16
16
16
8
0
0
0
0
0
4
0
0
0
1
1
1
1
0
1
1
0
0
0
4
0
0
0
0
24
8
0
9
0
8
0
8
0
0
0
8
8
22
22
16
41
41
41
41
16
16
16
16
16
0
0
1
0
0
0
0
18
18
18
0
0
4
0
8
8
0
16
0
8
8
8
4
4
8
0
8
0
51
51
17
17
0
0
0
0
0
0
0
12
0
4
4
0
8
8
8
4
16
24
8
0
0
0
4
4
0
0
0
8
0
4
0
0
0
8
8
0
0
0
12
8
4
16
16
0
0
16
6
6
12
8
12
8
8
0
46
0
0
8
0
0
0
0
16
8
0
1
8
8
4
8
8
8
8
8
17
56
0
8
8
8
8
8
0
16
16
16
0
4
0
8
2
8
4
4
4
4
8
0
0
0
0
0
16
17
0
8
8
8
0
0
0
1
0
16
0
16
0
0
36
0
0
5
8
0
0
8
16
24
24
24
1
4
0
0
0
8
0
16
16
16
0
4
4
4
4
1
0
0
8
8
0
0
0
8
0
18
18
4
8
8
0
0
28
8
0
0
0
8
24
24
0
16
8
0
24
16
16
16
16
16
16
16
0
0
16
0
0
16
16
16
4
0
0
8
0
0
16
0
16
16
16
16
32
4
2
8
0
16
12
0
0
25
24
0
0
8
8
8
8
4
4
0
2
4
8
0
0
0
16
16
8
0
0
0
8
16
16
16
32
1
1
1
0
0
0
32
8
0
0
0
0
0
0
0
2
2
1
8
0
25
0
8
0
8
8
18
34
34
4
16
16
4
8
0
0
8
0
0
2
4
4
4
4
8
8
8
0
0
0
0
8
0
16
17
17
8
16
24
0
0
0
16
0
0
0
0
0
0
48
48
16
8
8
0
0
0
1
1
1
1
1
16
16
16
8
8
24
24
16
16
16
8
8
8
8
8
8
16
0
0
32
32
32
6
6
32
0
0
0
0
0
0
0
0
8
0
16
0
0
8
0
4
4
2
0
16
16
16
16
16
0
0
0
16
0
0
16
9
9
9
0
0
4
0
0
0
0
16
8
0
16
16
0
8
8
8
8
8
16
24
8
8
8
8
26
0
0
6
16
32
12
8
0
0
0
16
16
16
0
0
2
0
0
8
0
32
33
8
8
8
16
8
16
0
0
22
22
8
8
0
16
16
8
2
0
16
8
16
8
0
1
1
8
0
16
0
16
16
26
26
8
0
2
2
4
8
8
8
8
0
8
0
16
16
8
24
2
0
8
8
8
8
8
2
4
4
0
1
1
0
0
0
0
0
16
8
0
4
1
1
0
8
0
0
0
8
8
0
8
8
8
8
16
8
0
8
8
8
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
24
8
0
0
0
16
0
0
2
32
0
8
8
8
0
4
8
1
4
8
0
1
1
0
0
21
21
0
16
16
16
8
8
0
0
8
16
16
16
16
0
8
2
2
2
60
18
18
1
16
24
0
0
16
24
4
4
8
8
0
4
4
4
4
4
4
4
4
4
4
4
4
4
4
32
32
0
0
16
16
16
0
0
16
8
16
16
16
4
4
16
16
18
4
4
32
16
0
18
18
16
8
8
8
8
8
0
0
6
4
4
4
4
0
8
16
16
16
16
1
8
0
4
4
2
2
0
0
12
12
12
0
0
4
0
8
0
24
24
0
17
8
8
8
0
17
17
24
24
0
4
8
8
8
8
8
8
8
24
8
16
8
8
8
24
6
0
0
12
12
1
16
16
16
16
24
1
4
4
0
0
0
16
0
32
0
8
4
0
0
0
0
12
0
0
0
0
24
20
0
32
48
4
4
4
0
16
8
8
0
0
0
0
16
16
8
17
17
8
1
1
1
1
1
8
0
0
8
0
0
0
2
0
0
0
2
0
0
4
4
4
4
8
2
2
16
0
8
8
8
8
0
0
0
0
8
16
0
16
16
16
0
8
16
2
0
16
16
16
16
16
0
16
16
1
0
2
2
8
0
0
8
0
0
0
0
0
0
0
0
48
9
28
28
16
0
3
0
1
0
2
16
16
8
8
0
0
4
12
0
16
16
8
8
16
16
0
0
2
2
0
0
0
0
24
24
0
0
18
24
24
24
24
2
8
8
1
4
4
4
8
0
9
16
16
8
8
4
8
0
0
8
8
8
0
0
1
16
0
4
16
16
8
1
0
0
0
8
8
8
2
6
0
0
0
8
2
0
4
4
4
4
8
1
32
32
32
0
0
0
0
0
16
0
0
16
16
16
4
4
4
1
1
20
20
20
0
8
16
16
8
0
0
0
0
0
32
16
16
0
0
8
8
8
16
16
16
0
8
8
0
0
0
0
0
0
0
12
8
0
0
24
0
0
0
0
0
0
0
8
4
0
0
0
0
0
0
0
0
0
16
16
16
16
0
4
20
8
8
10
10
8
0
0
8
16
8
0
0
4
4
4
2
32
32
8
0
8
0
0
2
2
0
8
2
2
8
8
8
8
8
8
8
8
8
8
8
8
0
8
24
16
0
4
8
0
0
0
8
0
8
8
8
2
1
1
1
1
1
8
0
24
24
0
24
20
0
0
0
2
2
2
2
2
2
2
2
2
2
8
32
32
1
1
5
8
1
1
16
4
0
0
24
24
16
0
8
8
4
21
0
0
17
17
1
1
0
25
0
9
9
9
0
20
8
0
8
8
17
17
0
16
16
16
0
28
0
16
0
1
8
16
16
8
8
0
0
1
10
4
4
16
16
16
0
0
0
0
0
0
8
8
8
0
1
1
1
1
1
0
0
0
24
16
8
8
0
0
8
0
0
0
0
16
32
16
2
0
0
0
0
0
24
24
24
24
16
8
8
0
0
8
8
8
2
0
0
4
31
4
10
0
0
20
16
16
1
1
0
0
0
16
8
8
0
0
0
0
0
8
8
8
0
4
4
8
8
8
24
0
0
0
0
2
8
8
8
1
0
8
0
8
8
0
0
0
0
0
0
17
16
16
8
16
16
0
0
0
0
20
0
0
0
56
0
0
0
0
18
18
24
24
24
8
0
32
32
32
0
8
0
0
8
4
12
4
16
0
8
16
0
0
0
0
0
8
8
0
2
2
32
24
0
8
8
8
0
0
16
16
16
16
16
24
2
2
0
0
2
2
48
0
16
16
8
8
8
4
0
0
0
56
24
24
24
24
24
16
16
16
1
0
0
8
0
0
8
8
8
8
8
4
4
4
6
0
8
21
21
0
0
16
16
16
16
0
0
16
0
4
8
8
8
8
2
0
0
0
0
0
8
8
8
0
8
8
0
32
32
32
8
0
2
2
16
0
8
4
4
4
0
0
0
0
8
0
16
1
1
8
0
8
8
0
8
0
16
8
0
9
9
2
8
1
10
10
10
0
0
0
0
16
25
0
16
16
0
8
8
8
8
16
16
16
16
16
24
24
24
2
2
8
8
0
8
8
16
16
0
8
8
16
8
8
0
2
16
0
0
2
2
0
0
0
8
8
8
17
16
12
0
0
0
16
16
16
8
8
26
26
26
0
2
12
12
16
16
16
16
16
0
16
16
0
0
0
0
0
16
0
0
1
32
0
0
20
8
8
8
8
8
8
16
16
8
4
16
17
17
16
16
16
16
8
8
8
0
0
16
0
24
17
17
2
8
48
16
4
4
16
16
16
16
0
0
0
0
0
8
8
2
2
0
4
0
0
0
16
4
8
8
6
0
0
0
32
0
4
2
0
4
8
16
16
16
0
1
1
17
16
16
16
0
0
0
11
8
8
8
16
0
16
16
0
8
2
10
10
16
0
0
1
1
1
0
0
8
16
0
8
8
8
8
0
8
0
0
0
0
0
4
4
8
8
0
0
0
0
0
0
0
8
16
2
4
24
24
0
0
0
2
2
2
2
2
2
2
2
16
16
16
2
2
8
8
8
4
4
32
0
0
0
8
0
0
8
8
8
8
41
33
0
16
16
0
0
0
0
1
1
8
8
8
32
32
32
32
0
0
0
0
0
0
0
16
16
16
16
2
16
16
0
8
0
0
0
8
8
8
8
16
16
0
0
24
8
8
8
8
0
16
16
3
1
1
0
16
8
4
4
24
0
0
0
0
0
8
8
8
0
0
16
8
2
2
1
0
8
8
8
48
8
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
0
2
0
16
7
8
0
0
0
0
1
2
2
24
0
0
0
0
0
0
16
16
2
2
16
16
0
0
18
1
0
8
16
32
1
16
8
0
0
0
0
0
0
0
0
8
12
28
28
28
16
0
16
0
0
8
8
16
16
16
13
4
8
8
8
8
4
4
8
0
0
8
0
8
2
0
0
0
0
0
0
1
0
0
0
3
3
6
0
8
8
16
4
4
4
4
1
4
0
16
16
16
8
4
0
0
0
0
20
0
2
14
14
4
8
0
0
4
0
16
16
16
16
16
2
2
2
8
0
0
2
2
32
16
2
0
0
0
0
0
0
0
16
1
0
0
0
0
4
16
16
18
8
8
40
40
40
8
0
0
0
0
8
8
8
8
8
0
8
19
1
1
8
16
0
0
0
8
8
16
0
8
0
16
16
16
16
8
4
4
4
4
1
1
8
16
20
20
20
0
8
16
16
8
8
0
2
18
0
4
4
4
4
4
16
8
20
4
0
0
0
0
0
2
0
2
0
8
1
0
10
48
48
48
48
16
2
2
8
0
0
0
16
24
0
8
16
0
4
24
0
0
0
0
16
11
8
8
0
0
0
0
0
0
0
25
25
18
18
32
1
0
0
0
8
1
1
1
1
8
8
0
24
4
2
8
0
1
8
16
0
0
0
0
0
0
20
2
2
2
8
52
0
16
8
8
1
8
8
8
1
1
0
16
16
1
1
1
0
8
8
26
1
2
8
0
8
8
8
32
32
16
0
0
0
0
0
16
16
16
8
8
8
8
1
1
1
8
8
16
0
0
0
0
0
8
8
0
16
20
8
8
8
8
0
1
20
16
0
0
0
16
0
0
0
0
16
2
8
0
0
3
20
25
25
2
2
2
20
4
0
0
0
0
0
16
8
2
2
0
8
8
8
0
9
9
9
8
1
16
16
0
1
1
8
8
9
2
8
8
8
8
8
0
9
9
8
1
3
3
3
0
0
8
0
0
0
0
0
0
8
8
8
0
0
48
48
0
0
0
24
24
16
16
16
0
4
8
8
8
0
0
0
8
8
32
8
8
8
16
32
32
32
32
32
0
0
0
16
16
0
0
0
8
8
2
1
24
0
8
8
16
0
0
0
8
8
0
0
0
16
41
41
41
0
20
36
16
0
0
16
16
0
8
8
0
0
0
0
0
0
0
16
16
0
0
24
24
24
0
0
0
5
8
8
8
8
0
2
8
8
8
2
8
10
0
0
0
0
0
2
4
8
0
0
2
0
8
0
0
0
0
4
4
0
8
16
16
16
0
20
20
20
4
8
16
0
16
16
0
2
2
0
32
32
16
16
8
16
0
8
0
0
4
0
1
1
8
8
17
17
2
17
1
1
16
8
16
24
24
24
24
8
8
8
8
0
16
8
0
16
18
18
0
0
0
8
16
8
16
16
16
1
32
32
8
0
0
1
0
0
8
0
0
0
0
16
17
0
0
16
0
0
16
0
8
0
0
2
20
8
0
0
16
0
0
0
8
0
16
8
8
0
0
8
12
12
0
0
8
8
0
0
0
8
8
8
8
8
8
2
2
2
0
0
0
8
13
13
13
0
8
8
0
25
17
17
0
0
2
0
8
11
16
16
16
0
0
0
8
16
16
8
8
8
0
8
8
8
8
8
8
16
12
12
17
16
8
0
8
0
24
16
0
0
4
8
2
8
16
0
0
8
0
0
1
0
0
16
5
0
1
1
1
1
4
0
0
0
0
0
8
4
4
4
4
4
4
0
0
0
0
0
0
8
8
16
0
0
0
0
4
0
0
0
0
16
8
0
0
0
2
2
2
2
2
1
8
0
0
8
8
2
2
0
8
8
1
16
2
8
8
8
1
1
1
1
1
4
4
4
0
24
0
8
8
0
0
0
13
16
16
8
8
8
2
18
2
18
0
25
0
0
0
16
0
1
1
0
28
0
8
0
0
4
0
16
16
24
16
16
8
16
4
4
8
8
0
0
0
0
8
8
0
0
0
0
16
8
8
8
16
16
8
0
0
0
0
0
16
0
0
8
8
0
0
16
2
28
16
16
16
16
8
8
8
16
8
8
20
16
24
8
8
8
16
16
8
16
16
1
0
4
0
0
0
0
0
0
0
0
0
8
8
8
16
0
4
4
0
25
1
24
12
8
0
0
16
8
8
0
18
18
0
0
0
0
8
8
20
8
0
16
8
0
4
0
0
0
0
8
16
0
2
16
8
8
0
0
0
0
16
0
0
16
8
4
2
0
1
0
4
0
0
0
0
8
1
16
16
8
8
25
0
0
16
0
0
0
0
0
0
0
4
4
0
0
0
8
8
8
24
9
9
9
9
0
0
0
0
0
0
0
0
24
24
16
16
8
8
16
0
0
8
8
8
0
8
5
4
16
1
1
8
32
8
8
8
0
8
8
0
0
16
8
8
8
0
0
0
8
2
2
12
0
0
0
2
0
0
4
8
8
8
4
0
0
8
1
0
16
40
40
0
0
0
24
4
4
4
4
4
4
4
0
0
9
9
0
8
8
8
8
8
8
0
8
0
4
16
16
0
0
0
0
0
0
0
0
8
4
0
0
0
8
8
0
0
0
0
0
2
0
0
0
0
4
4
0
0
1
1
1
0
0
8
8
8
8
8
8
1
1
0
0
0
16
8
8
8
8
8
0
0
0
0
2
8
0
4
2
0
1
0
1
8
0
0
24
24
16
8
0
0
0
0
8
16
2
8
8
0
0
42
0
8
0
0
0
0
16
2
2
2
2
2
4
4
4
0
0
0
0
0
0
0
0
16
16
16
16
16
16
24
0
0
4
4
16
0
0
0
0
0
1
0
6
8
8
8
4
8
8
32
8
1
8
2
0
0
0
12
0
0
0
0
0
4
4
4
0
0
0
0
0
0
0
16
16
0
8
0
16
16
16
0
6
16
16
16
21
8
0
16
16
8
0
16
16
16
16
1
1
1
1
1
4
4
4
4
4
4
4
4
4
4
4
0
16
34
4
0
0
8
8
0
0
8
8
8
8
8
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
2
0
0
0
0
8
8
2
8
4
1
1
16
0
0
0
0
2
10
0
0
0
0
4
4
4
0
0
0
0
0
4
4
8
8
16
10
4
4
4
4
4
0
0
8
8
2
16
0
16
8
8
16
16
16
16
16
16
0
0
0
0
0
0
0
0
4
4
0
0
0
0
24
2
0
16
16
16
8
0
0
1
0
0
0
0
8
8
8
0
0
0
16
24
12
8
8
0
8
8
0
0
0
4
2
8
8
8
8
8
8
13
8
8
0
0
0
4
4
8
36
36
36
36
36
0
8
0
16
16
2
16
0
8
20
0
28
20
0
8
8
8
8
16
0
8
8
2
0
32
0
4
4
4
0
8
16
0
1
0
0
0
8
8
8
4
0
0
0
1
1
0
8
16
24
8
8
32
32
32
46
46
46
46
16
16
0
0
16
16
0
0
0
0
0
1
12
2
2
0
0
20
0
0
8
18
0
8
0
2
0
0
0
8
24
24
24
24
8
0
0
8
8
8
8
8
8
8
8
0
0
0
0
0
16
16
16
16
1
1
16
0
8
8
8
0
4
1
0
0
24
24
24
24
16
16
16
8
16
0
8
16
16
16
1
1
4
4
0
48
48
48
48
48
8
1
8
8
0
0
0
24
0
0
8
0
0
0
0
0
0
0
0
20
8
0
16
32
4
16
16
16
16
8
8
0
8
0
0
0
0
0
0
18
4
4
4
0
16
12
16
32
32
32
32
0
0
16
0
8
8
0
0
8
8
8
1
0
8
8
8
8
8
0
8
0
0
8
8
8
8
0
0
0
0
0
0
25
16
16
8
8
4
1
1
1
0
36
8
8
8
0
0
8
13
0
0
0
0
8
0
0
0
0
0
16
4
4
4
4
0
0
0
1
0
0
0
0
8
8
8
0
0
0
0
0
20
9
25
9
0
0
8
8
8
0
24
16
4
4
4
0
0
0
44
44
18
0
0
16
16
8
8
8
8
8
8
8
8
16
0
0
16
16
8
0
0
0
8
0
36
36
36
1
1
1
1
0
33
32
32
32
32
32
0
0
8
8
0
0
16
16
0
4
0
0
8
8
8
8
8
8
8
0
0
0
0
0
16
16
16
1
1
8
24
0
0
24
24
0
8
8
24
8
0
0
1
1
8
2
16
16
8
8
8
8
8
8
8
8
8
0
16
8
0
0
0
0
1
1
0
0
16
16
8
8
1
0
0
8
0
0
0
0
0
0
16
0
0
0
0
2
2
16
8
8
8
16
16
16
16
8
0
0
0
16
16
12
12
8
0
24
16
16
16
16
8
8
8
16
16
16
8
0
0
2
8
8
4
0
16
8
16
16
0
0
0
0
0
0
0
0
0
0
12
0
0
8
16
16
16
0
0
0
0
0
0
28
0
0
0
0
4
0
0
8
0
16
1
2
2
8
8
8
0
0
0
20
16
0
0
24
16
0
0
1
16
16
0
8
16
16
0
0
1
4
0
0
8
0
0
0
8
8
8
0
0
0
8
8
8
12
12
12
0
0
0
0
0
16
8
0
16
0
16
13
8
8
16
0
0
8
8
8
8
8
2
8
8
8
8
8
16
0
0
0
0
8
8
8
0
0
1
1
1
1
1
16
16
16
24
0
0
0
8
8
8
8
8
1
52
18
18
0
0
0
16
0
0
1
1
0
8
32
0
8
0
0
0
0
4
8
16
16
16
16
8
28
6
6
0
6
0
0
1
0
8
0
0
16
0
16
8
8
3
4
8
0
8
8
8
16
16
8
0
16
0
1
9
0
0
0
0
16
2
8
4
8
9
4
4
0
0
0
0
0
0
0
8
8
8
8
8
0
0
2
2
2
0
5
5
5
0
0
18
4
16
16
16
16
16
16
16
8
8
12
12
0
4
8
8
8
8
22
4
8
2
2
2
29
21
0
49
5
24
16
16
4
4
8
8
32
32
0
16
17
17
17
1
11
11
6
16
0
0
2
10
10
8
0
8
8
0
4
4
0
0
24
16
16
2
24
8
8
2
8
4
8
8
8
8
8
8
16
0
12
4
8
8
8
8
32
8
8
16
16
0
0
0
0
0
1
8
8
8
16
0
0
16
0
0
0
1
1
1
16
16
8
0
0
0
0
16
16
16
8
0
0
32
0
5
13
1
1
0
8
8
0
0
0
0
8
8
0
0
16
0
8
9
8
16
0
0
0
8
0
0
8
8
16
16
4
4
4
4
0
4
4
4
4
4
4
16
16
4
2
16
16
16
16
0
0
1
0
50
16
8
4
4
0
10
10
32
2
2
2
17
16
24
0
0
0
0
0
1
1
17
0
16
8
0
0
0
17
17
16
0
0
0
8
1
4
4
4
8
24
24
24
0
0
28
28
16
16
0
0
0
8
56
8
8
8
0
16
16
0
8
8
0
0
8
8
8
8
8
8
0
0
0
1
0
0
1
1
0
0
4
8
10
8
12
60
60
60
4
16
8
0
2
4
4
0
4
8
24
0
0
0
16
0
8
8
8
0
0
8
8
32
32
16
24
16
8
8
8
8
8
0
0
0
0
0
0
0
0
16
8
16
16
0
0
0
0
4
4
4
8
4
0
1
1
1
1
1
8
0
0
8
8
2
2
8
8
8
0
5
5
5
8
8
0
4
0
0
32
32
32
40
40
0
32
32
32
8
8
0
0
16
16
0
0
0
16
16
4
4
0
0
0
1
8
0
0
0
0
0
1
0
8
8
0
0
0
0
8
8
8
1
32
32
32
0
8
0
0
1
2
0
0
8
16
8
0
1
1
1
40
9
8
0
8
16
0
8
16
2
0
8
8
8
2
16
8
0
32
16
16
16
16
16
8
24
24
24
16
0
8
0
0
0
0
24
24
0
0
4
0
0
0
8
8
2
8
0
5
9
0
0
0
8
8
8
8
16
0
1
3
24
1
0
0
2
16
8
8
1
0
21
1
1
4
0
2
1
0
0
0
1
18
1
1
1
8
8
8
0
0
0
0
0
16
18
2
0
16
16
16
8
24
24
1
8
0
8
8
8
8
8
8
0
0
16
16
8
0
0
8
24
8
4
8
8
56
8
32
32
32
32
8
8
12
0
0
0
0
0
0
16
16
16
0
0
0
16
0
0
26
16
16
16
16
16
16
16
17
0
0
0
16
8
8
8
8
8
8
16
8
8
8
0
0
0
53
53
53
10
10
10
0
0
0
4
1
1
8
0
0
16
16
0
4
16
16
16
16
16
16
16
16
16
2
0
24
16
0
0
0
0
16
16
0
0
16
0
0
0
0
0
16
0
0
0
8
20
6
6
0
16
8
16
8
16
0
0
16
8
8
0
21
21
0
8
0
0
34
0
6
0
0
8
8
0
0
8
8
4
4
4
4
4
4
0
8
8
8
16
16
8
8
8
8
32
32
32
32
32
32
0
0
0
0
8
8
8
0
16
4
1
1
0
0
0
8
8
8
4
0
0
8
10
10
10
10
10
10
10
0
0
2
32
8
8
0
16
0
16
16
12
20
20
20
16
16
16
16
0
19
19
0
0
0
16
0
0
8
8
0
0
8
16
16
16
32
32
1
1
16
16
16
4
4
4
0
32
32
0
5
24
8
16
16
2
0
0
20
16
20
16
4
4
6
6
22
24
24
2
2
16
1
1
8
8
0
0
0
8
8
8
8
8
0
0
8
8
1
1
16
1
1
16
9
18
18
8
0
8
0
16
0
18
0
1
0
8
1
8
4
4
4
4
32
32
32
2
2
2
2
16
16
41
41
0
0
2
1
1
8
16
16
16
4
4
8
0
32
8
4
2
2
0
16
16
16
8
8
1
1
34
34
34
20
20
20
1
8
0
0
8
0
0
2
4
4
4
0
6
0
0
0
16
16
0
0
0
0
1
4
32
0
4
16
0
0
0
16
6
16
0
0
8
0
0
8
0
8
0
0
0
0
4
1
1
0
0
0
8
2
2
1
0
16
2
0
0
0
0
48
48
11
11
0
0
18
16
0
4
4
4
4
4
4
1
1
8
16
16
4
8
24
0
0
0
0
8
8
8
8
0
0
1
8
8
0
16
16
1
4
4
4
16
16
0
8
2
2
2
2
0
16
16
0
4
0
8
8
0
0
0
8
0
0
0
0
0
0
4
4
16
8
8
0
1
1
24
8
8
8
0
1
28
0
21
0
0
0
0
0
17
17
17
0
3
3
3
3
8
8
8
6
6
6
8
8
0
8
0
0
0
0
0
18
0
16
0
4
16
16
16
0
8
0
0
0
1
1
8
16
16
16
16
16
8
0
8
0
0
0
4
16
16
16
16
16
16
8
2
1
16
16
8
0
0
0
0
0
0
0
16
16
16
16
16
16
1
0
0
0
0
0
16
2
40
40
26
0
16
0
16
0
0
8
8
3
3
3
16
0
0
0
8
0
0
0
2
0
0
8
8
4
0
0
0
4
4
8
2
8
4
16
0
16
8
8
0
0
0
0
16
16
2
2
0
30
30
8
0
0
16
0
8
10
0
0
36
32
16
16
8
0
16
0
16
0
0
0
0
0
0
0
8
8
8
0
0
0
8
16
16
16
16
0
0
0
0
0
0
6
1
1
1
24
8
8
8
8
0
0
0
8
8
0
0
4
0
8
8
8
24
24
8
8
38
38
0
0
8
16
16
0
0
0
0
0
8
1
16
16
2
0
0
0
16
16
0
2
4
20
4
4
4
8
8
8
16
16
12
0
8
8
8
8
0
0
0
0
2
2
0
0
0
0
8
8
0
8
8
4
8
0
0
16
16
16
4
4
8
8
32
16
8
32
32
0
25
16
16
16
16
8
0
0
16
0
0
8
8
8
8
4
0
0
0
10
40
2
32
32
0
8
4
16
16
16
0
16
4
0
0
0
0
8
1
8
0
16
16
16
16
16
16
16
20
20
20
20
20
20
20
8
8
0
8
48
0
16
16
16
50
8
0
9
4
40
40
8
8
8
8
8
8
8
2
0
16
16
0
0
4
25
4
4
9
55
1
1
1
1
8
0
16
56
2
2
2
0
8
18
0
0
0
16
0
0
0
32
32
0
0
8
16
16
17
16
4
4
0
8
6
8
8
8
8
16
16
0
4
8
0
8
0
0
0
0
0
0
1
0
16
0
8
8
12
0
0
0
8
4
8
0
16
4
4
4
4
4
4
4
4
4
4
4
4
4
9
9
9
9
9
9
16
8
8
1
1
56
0
0
17
17
0
0
21
4
16
0
8
16
8
0
8
8
2
16
16
8
0
0
8
0
0
4
4
0
0
4
4
8
0
0
0
0
8
8
8
8
0
0
0
0
0
0
0
0
0
2
8
1
1
16
16
16
24
32
32
24
0
0
8
8
8
8
0
0
0
0
0
8
0
16
32
8
0
0
2
2
2
4
4
4
4
32
0
0
0
0
1
1
16
16
0
0
16
16
16
8
8
8
0
0
0
0
0
8
0
0
1
1
2
32
0
0
8
17
16
1
0
0
4
4
4
0
0
0
16
0
8
8
8
8
0
16
16
2
2
2
1
1
1
0
0
0
16
0
0
0
24
16
2
2
18
2
0
40
0
12
12
0
0
0
0
0
16
16
16
0
16
8
8
8
1
8
8
8
8
8
12
12
0
0
0
0
0
0
16
17
16
0
0
0
8
17
0
0
0
0
0
0
49
49
49
0
0
0
0
0
8
8
8
16
16
16
4
0
0
8
8
16
0
0
0
0
0
0
0
0
8
8
8
8
8
16
16
4
0
1
8
8
5
5
8
32
8
16
0
41
0
0
0
16
18
0
16
0
0
16
0
0
0
16
16
0
0
0
0
0
1
1
1
0
0
2
4
4
4
6
16
16
16
16
16
0
4
4
6
5
1
1
0
28
8
0
8
1
0
18
18
16
4
0
2
0
0
0
0
0
20
0
16
4
8
0
0
8
1
1
1
1
5
4
16
0
0
0
4
1
0
4
1
1
1
1
0
8
8
0
16
16
16
16
4
6
4
4
8
8
4
8
0
19
19
0
17
1
8
8
8
0
0
0
16
20
0
0
0
0
16
16
16
16
8
2
2
2
8
8
0
8
8
2
1
4
4
8
0
4
4
0
1
0
0
0
0
4
4
1
1
0
0
0
2
0
2
0
4
24
8
8
0
0
24
4
4
4
8
0
16
4
4
0
4
4
24
24
20
0
0
0
2
2
2
0
16
48
0
8
4
0
0
16
32
0
0
0
16
0
0
0
28
28
0
0
8
8
8
0
0
16
0
2
8
16
16
16
8
24
0
0
32
0
1
1
32
0
16
0
1
1
1
0
16
0
8
16
4
4
16
32
8
4
4
4
4
1
1
1
16
16
16
8
1
0
8
0
0
0
0
0
32
8
8
8
29
32
0
0
0
0
0
0
8
16
16
16
16
20
2
0
8
8
8
8
8
8
0
0
16
1
5
5
8
0
0
8
8
16
2
16
0
0
8
8
1
1
8
8
8
8
8
8
8
8
62
0
4
8
16
16
16
16
0
8
8
8
0
0
0
8
8
8
0
0
8
0
1
16
16
24
0
8
16
8
8
33
16
0
0
0
0
0
2
2
2
2
16
59
8
16
16
17
17
16
0
0
0
0
0
0
2
2
16
16
4
16
8
8
16
16
16
0
0
8
8
8
8
8
0
0
0
0
0
8
16
8
12
2
2
2
2
2
16
16
0
0
16
2
8
0
0
8
1
16
16
10
0
0
8
4
4
4
4
0
8
32
0
0
0
16
16
0
0
0
8
0
32
2
2
2
0
32
8
0
0
0
0
0
0
8
0
0
8
16
1
4
4
4
4
0
0
0
0
16
0
8
8
8
0
8
8
0
0
0
0
8
8
0
0
8
1
0
24
24
0
24
8
8
8
8
8
24
16
8
8
16
16
0
16
0
3
24
24
8
8
8
48
0
0
60
8
8
0
40
0
16
0
0
0
16
0
0
8
4
4
0
0
0
1
1
16
0
0
0
0
12
0
0
8
8
8
8
22
0
0
0
16
0
0
8
0
25
12
0
2
32
32
4
4
0
4
4
0
0
16
6
1
1
1
0
0
4
25
8
8
8
0
0
0
0
0
18
16
16
0
0
8
2
2
2
2
2
0
0
56
56
56
32
0
8
0
1
0
0
8
1
32
1
1
0
0
32
8
8
8
16
8
2
16
16
16
26
8
8
8
0
0
1
0
24
36
8
16
16
16
0
16
4
8
8
8
0
4
2
8
0
0
4
4
0
0
24
8
0
0
0
8
8
8
8
8
8
4
4
0
4
8
8
0
8
0
9
8
16
0
0
0
16
0
0
0
0
0
0
0
16
16
21
0
24
0
0
0
0
8
8
0
0
8
8
2
2
8
0
0
0
4
0
0
0
8
4
0
32
32
32
0
8
8
8
8
16
2
16
0
0
0
0
4
34
34
34
34
34
0
0
0
0
16
8
16
8
8
8
8
8
8
8
8
1
8
8
8
0
0
0
0
8
16
16
0
24
0
0
1
16
12
32
32
8
1
1
8
8
24
8
0
2
2
2
0
8
8
8
0
0
8
8
0
2
2
0
8
8
8
0
16
16
0
0
0
16
8
0
16
16
16
0
52
0
1
1
2
0
8
16
16
16
16
28
12
8
0
0
4
4
4
0
16
16
16
16
16
0
0
0
8
0
0
10
16
6
4
4
0
8
8
1
1
1
1
1
0
0
0
0
8
0
0
0
0
0
4
4
0
0
0
0
0
8
1
2
0
16
0
0
8
0
5
5
8
8
8
8
0
8
17
17
0
0
0
4
4
4
16
0
0
0
1
1
8
8
12
16
16
16
16
10
0
0
0
17
49
8
8
8
16
16
16
8
8
8
8
8
8
0
0
0
0
0
0
0
0
2
2
16
16
1
1
0
0
16
16
2
8
8
8
0
0
0
16
16
16
9
8
8
16
8
29
16
0
1
1
0
0
4
0
0
16
0
4
4
0
24
1
1
20
20
20
4
4
4
16
8
16
0
16
16
16
16
0
24
0
0
0
0
0
8
0
0
0
1
1
1
0
0
0
0
2
2
2
16
16
16
0
0
4
4
8
0
8
8
8
8
8
8
0
8
8
8
0
0
0
0
0
0
8
0
0
0
0
32
32
16
0
0
0
0
0
0
26
26
26
26
16
8
0
1
0
0
16
16
16
19
19
19
0
0
0
0
0
0
8
3
0
0
0
0
16
0
0
16
0
0
0
0
0
8
8
0
0
16
16
16
0
8
8
0
8
0
0
16
8
8
8
8
12
24
24
0
0
1
0
16
5
5
5
2
0
0
0
8
8
8
0
16
8
8
8
8
8
0
0
8
8
8
16
8
24
8
4
4
20
4
4
4
0
0
38
8
4
8
16
16
16
16
16
0
0
8
0
0
0
0
4
4
0
24
16
9
4
0
8
8
8
2
0
14
16
16
16
16
0
40
40
1
58
58
24
24
0
0
8
2
16
0
0
0
0
0
0
0
0
24
8
0
0
0
8
8
8
1
0
0
0
16
0
16
56
8
16
16
0
0
0
0
50
4
0
16
8
16
16
16
0
32
32
8
0
0
4
4
4
2
0
0
8
0
0
2
2
16
16
0
4
0
0
48
12
8
0
0
8
0
0
0
0
0
8
8
8
2
0
0
16
16
24
0
8
8
0
1
1
0
27
17
0
0
8
8
8
0
0
0
4
4
4
0
0
0
8
8
8
12
12
0
19
2
8
8
8
8
8
0
0
0
0
0
0
0
0
8
16
16
16
0
0
0
0
16
0
17
17
0
0
0
34
0
0
0
0
0
16
0
0
0
17
1
1
1
0
0
16
16
1
24
4
0
8
24
8
8
8
8
8
0
0
27
27
27
27
27
0
8
8
0
0
0
0
16
16
20
8
4
8
16
16
16
16
16
16
16
0
2
8
2
8
0
8
16
0
6
8
8
8
8
8
0
24
0
16
8
0
0
1
0
0
0
24
16
16
16
16
16
16
16
16
0
0
8
0
8
8
24
28
1
16
0
24
24
24
24
24
24
24
24
0
0
8
8
0
6
4
8
25
25
25
2
0
4
0
0
8
52
52
52
16
0
8
8
8
8
8
44
44
0
4
4
8
0
16
16
16
0
0
8
16
16
8
25
25
0
0
0
4
4
1
1
1
16
4
4
0
0
16
16
0
8
2
2
2
16
16
20
0
4
16
16
16
16
16
16
16
16
32
48
32
0
8
17
16
4
4
16
1
1
16
16
16
0
0
0
0
0
0
0
0
0
6
24
16
16
0
8
0
0
0
0
8
16
4
4
0
0
0
16
2
2
40
40
40
40
40
40
0
32
0
8
0
0
8
0
0
0
0
1
1
1
20
12
8
0
0
4
40
32
0
0
0
16
16
16
8
24
0
8
8
8
2
0
0
0
8
4
4
4
4
16
4
16
0
16
16
16
16
8
1
1
8
8
4
4
4
16
16
0
16
16
8
16
16
16
0
8
8
8
16
16
16
6
6
0
16
32
9
2
0
0
4
4
0
0
8
0
0
16
16
16
16
16
16
16
0
0
16
0
3
0
0
0
16
16
16
0
0
8
8
8
8
16
8
16
8
24
8
8
8
0
8
1
16
8
0
25
8
16
16
16
1
16
16
4
8
0
16
16
0
16
16
16
4
4
4
16
1
1
0
40
1
0
8
0
8
4
4
0
0
0
8
8
16
16
24
0
16
0
8
0
0
0
0
0
0
16
8
4
4
4
2
0
16
16
16
2
2
16
0
8
8
8
0
16
16
2
32
18
0
8
4
6
2
8
0
24
16
16
16
8
16
16
16
16
16
16
16
0
0
0
0
0
52
2
5
8
8
8
8
2
0
1
1
9
8
0
0
2
4
4
4
4
4
1
1
0
0
2
4
8
8
16
1
0
0
0
0
0
0
0
3
16
0
0
0
2
2
2
0
0
0
0
0
24
24
24
24
0
8
20
2
8
0
0
8
0
0
16
8
8
8
8
32
32
8
0
1
0
0
0
0
36
36
36
2
8
8
8
8
8
12
8
8
8
8
8
8
4
0
24
0
0
8
8
8
8
0
0
0
16
8
16
16
2
12
12
2
16
8
0
0
16
0
0
33
33
4
4
0
0
1
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
6
48
48
8
16
16
0
1
0
4
4
32
16
0
24
24
24
24
8
8
8
32
0
16
0
8
16
0
0
16
16
4
4
16
16
16
16
16
16
8
10
10
10
10
32
32
0
28
28
28
36
4
4
4
8
0
0
0
28
8
0
1
24
8
0
8
12
4
20
16
16
16
16
16
0
8
8
8
32
16
16
4
4
4
16
0
0
0
0
1
0
0
0
8
8
0
4
0
0
0
8
8
4
0
20
0
0
0
0
0
0
8
8
16
32
2
9
0
0
0
28
8
0
8
0
8
34
34
35
8
6
28
16
16
16
16
16
16
16
16
1
0
18
18
8
8
9
8
0
0
0
0
8
8
1
1
0
16
16
1
1
1
0
1
1
28
0
0
0
8
8
8
1
0
16
0
0
0
0
0
0
0
0
0
16
0
0
2
0
12
17
17
32
8
0
0
0
32
32
16
16
16
0
4
0
0
2
2
18
0
0
0
0
32
1
1
1
6
0
0
0
8
8
8
8
2
2
0
0
0
0
0
0
6
4
4
4
4
8
8
8
16
16
16
16
16
7
7
8
0
8
8
8
16
0
0
16
16
8
0
0
0
0
8
8
0
8
8
8
16
0
8
0
0
8
8
24
8
4
8
1
1
1
1
1
0
0
0
8
0
16
16
0
16
6
7
4
4
24
0
0
8
8
8
0
0
8
8
8
8
0
0
0
0
0
8
0
0
0
1
1
4
8
8
8
24
24
0
0
0
16
16
4
0
16
16
0
4
16
16
16
8
8
8
0
0
0
16
0
12
8
8
8
8
2
3
3
4
8
0
0
0
4
0
8
8
8
0
0
0
0
8
8
8
4
8
8
0
16
0
12
8
0
0
0
16
2
12
1
0
32
8
8
8
2
20
0
0
4
1
16
16
0
0
1
8
8
6
2
2
0
0
0
0
0
0
16
0
8
16
8
8
8
16
16
8
8
0
24
2
28
28
28
8
0
8
2
4
0
0
8
8
0
8
8
0
22
22
22
8
8
0
0
0
16
0
0
17
32
16
32
32
8
8
8
8
0
0
0
0
0
0
8
0
8
8
8
8
0
0
0
8
0
0
0
4
4
4
4
0
0
16
16
16
16
16
8
0
4
1
8
8
8
8
8
8
8
8
8
24
8
24
8
8
16
16
16
16
0
5
1
6
8
8
8
8
16
8
24
24
0
0
0
16
0
0
2
0
0
0
2
2
2
0
8
8
0
0
0
8
0
0
8
0
0
0
16
16
16
16
0
16
4
4
0
0
8
0
8
8
8
0
0
2
0
8
16
8
8
16
24
24
16
0
8
2
0
4
4
0
0
0
0
2
16
16
0
16
16
0
8
8
16
1
1
1
24
4
4
0
0
8
8
8
0
0
8
8
0
0
8
0
8
16
16
16
16
0
0
32
0
0
0
1
0
0
0
0
0
0
8
11
16
0
0
8
0
0
8
24
8
8
0
2
2
2
2
2
0
0
0
0
0
16
0
0
8
0
0
16
8
8
8
0
8
16
40
32
0
0
0
0
1
8
0
0
0
16
0
12
0
2
0
16
16
2
8
8
8
8
9
1
16
1
0
2
2
2
8
12
8
24
0
8
8
0
0
0
0
8
16
16
0
0
0
0
0
0
0
0
4
4
0
31
31
4
4
0
0
1
1
8
0
1
4
4
0
16
16
0
0
12
8
4
4
4
16
8
0
0
0
4
4
4
4
0
0
8
0
0
1
1
1
8
8
0
0
0
0
2
0
0
16
8
8
28
28
12
16
16
0
16
16
16
8
25
16
16
16
8
16
4
16
8
1
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
8
8
0
16
16
1
0
0
4
32
0
1
0
0
0
9
0
8
0
1
1
0
0
4
0
3
0
8
0
0
16
16
8
8
8
8
0
16
16
1
1
1
1
1
1
1
8
0
8
8
16
16
1
1
0
8
8
16
16
8
8
8
8
0
0
0
4
6
0
0
16
4
16
0
8
8
8
0
1
24
8
0
0
0
0
0
16
8
0
0
0
12
0
8
16
16
16
0
8
8
0
0
0
0
8
0
48
48
48
48
48
48
8
8
16
16
16
12
18
18
0
8
8
8
32
48
48
32
32
16
16
0
0
0
24
24
1
1
0
4
0
16
0
1
1
20
16
8
0
8
8
4
0
0
16
16
16
16
16
16
1
0
0
0
2
8
8
0
0
0
4
0
0
4
4
4
4
0
24
1
1
4
1
1
16
0
8
8
8
8
8
8
8
8
8
8
8
8
0
1
1
0
2
2
2
2
2
0
32
32
32
4
0
0
0
0
2
8
0
0
0
0
16
8
8
8
0
0
16
16
2
20
20
8
8
8
0
4
16
16
8
8
8
0
0
0
8
16
8
8
8
8
16
16
16
8
0
0
0
8
0
8
0
0
0
0
0
16
0
0
0
0
0
0
20
20
0
0
8
8
16
16
16
16
0
0
0
0
0
0
16
0
0
0
4
0
0
16
16
0
0
0
0
0
0
0
0
0
16
2
2
2
16
16
0
16
16
16
8
32
0
0
0
24
8
8
8
40
0
0
0
0
0
0
4
48
8
0
0
0
4
4
32
32
0
16
8
0
0
24
24
24
0
24
3
3
3
4
4
24
24
8
8
8
0
16
17
0
0
0
8
16
1
1
8
4
16
8
8
8
2
2
2
0
0
0
0
8
24
8
8
0
4
4
4
4
4
16
16
0
0
16
16
8
1
1
1
0
8
24
24
24
24
17
16
16
16
16
16
0
8
2
2
0
0
0
4
0
8
8
4
4
8
1
1
10
8
32
8
0
32
32
32
1
0
0
0
0
0
2
8
8
0
0
0
0
0
0
0
0
16
8
16
16
4
4
4
0
0
16
16
16
16
8
8
8
8
8
0
0
0
2
8
0
20
20
20
16
0
1
1
1
0
0
0
0
0
0
9
0
0
0
0
16
2
2
0
4
4
4
4
8
2
24
0
0
22
0
0
0
0
0
0
32
32
32
16
4
16
16
8
0
0
1
0
0
4
8
2
16
0
0
4
4
4
0
0
4
4
40
4
4
0
11
1
2
16
16
0
24
24
24
0
0
0
0
0
34
4
4
4
0
8
8
12
0
0
20
20
2
0
9
1
1
16
16
8
0
4
2
2
4
1
1
16
2
0
2
2
0
16
16
0
0
4
1
8
0
0
1
8
8
57
16
1
8
8
8
12
0
0
0
32
24
1
0
0
0
0
3
2
2
4
44
0
0
8
0
17
8
8
0
1
1
8
4
4
8
5
1
1
2
2
2
2
8
9
1
1
1
4
4
0
0
0
0
0
0
0
0
0
0
0
16
16
0
8
2
20
4
16
8
8
8
16
20
0
0
0
0
0
8
1
8
4
8
22
22
16
16
0
8
8
16
16
4
0
0
32
16
8
8
0
0
0
57
16
16
0
0
0
1
1
16
0
0
16
4
16
8
8
8
8
18
18
0
0
16
8
8
8
16
8
8
2
2
2
16
16
16
16
0
1
8
8
8
0
0
8
8
0
16
16
1
16
16
4
4
8
0
0
0
0
8
8
8
8
8
8
16
16
4
16
16
16
16
8
22
16
16
16
16
16
1
0
8
16
16
16
16
16
8
0
8
8
16
16
16
32
16
8
1
62
0
0
0
0
0
0
0
4
4
4
0
0
0
1
16
16
2
2
2
16
8
8
8
57
0
0
0
8
18
2
2
8
0
8
0
0
0
0
40
28
2
8
8
8
8
8
8
8
8
8
4
4
4
0
16
16
0
8
0
16
0
0
0
4
4
0
8
1
0
0
0
1
0
0
0
0
8
8
0
16
16
16
16
16
16
16
16
8
4
4
4
8
0
0
0
0
0
0
0
1
0
8
4
4
24
0
0
0
0
0
8
8
0
8
0
16
18
2
18
18
8
8
42
8
8
0
0
0
0
0
0
8
8
8
0
0
0
62
24
8
0
0
8
20
0
0
0
8
8
8
8
8
0
32
32
32
0
0
0
0
24
0
0
0
0
16
24
24
1
0
8
8
16
16
0
4
4
0
8
18
18
18
4
8
4
0
0
10
10
16
0
0
0
0
16
16
4
16
1
1
1
1
0
8
0
0
16
16
8
0
0
0
32
16
8
40
40
8
8
8
0
0
28
28
28
0
0
16
0
0
4
4
4
0
0
0
20
16
16
20
16
4
16
0
0
8
8
8
2
16
16
0
48
0
0
2
8
0
0
0
0
0
0
17
1
1
16
2
2
2
16
16
4
4
4
8
8
8
0
32
32
1
32
3
3
12
56
0
0
56
56
0
4
12
32
32
0
0
0
16
16
0
1
1
1
0
0
0
0
8
8
32
2
16
1
8
0
8
0
0
4
4
4
4
2
51
17
8
0
0
0
8
8
8
0
8
8
0
0
8
8
8
8
8
0
17
8
8
8
4
8
49
0
0
42
42
16
0
8
8
32
16
0
8
8
16
0
0
0
0
4
8
8
24
24
24
24
0
0
0
2
4
4
4
4
0
8
32
16
16
0
0
8
8
8
2
2
2
1
0
0
0
8
8
8
1
0
0
0
0
1
16
17
0
0
8
8
8
4
18
18
18
16
16
3
24
8
8
8
0
4
4
4
4
4
4
4
4
4
0
0
0
0
0
0
0
8
0
16
20
16
16
16
0
0
0
0
0
4
4
0
8
0
0
0
0
4
4
8
0
8
8
8
8
8
8
8
2
0
0
0
18
0
0
12
53
0
20
0
0
48
8
8
8
0
0
0
16
16
0
0
16
16
31
0
0
16
1
8
8
2
16
16
0
4
4
2
4
1
1
1
1
0
0
0
0
0
0
16
16
16
16
16
16
4
0
0
0
12
0
8
5
8
8
40
40
2
16
16
6
6
1
0
0
16
16
16
16
16
16
16
16
16
8
8
8
0
0
0
1
0
16
8
0
0
8
0
4
8
16
16
8
0
0
32
0
0
16
16
16
16
16
16
0
0
32
32
16
16
16
16
0
4
4
4
4
16
16
2
2
0
0
16
0
16
16
16
0
21
1
5
0
0
8
8
8
50
0
0
0
4
0
0
8
8
0
0
16
16
0
16
0
0
0
2
0
0
0
0
16
16
16
1
1
1
16
16
4
2
2
2
2
16
0
8
10
10
10
10
10
10
0
0
0
0
0
0
4
48
4
16
0
0
0
0
0
0
0
16
16
50
20
0
0
0
8
8
16
16
16
16
12
1
8
17
16
16
0
8
8
4
2
8
6
8
16
0
8
0
8
0
0
8
0
0
0
0
0
8
8
0
0
8
4
8
16
0
8
8
8
2
0
0
8
0
0
12
12
0
0
0
16
0
0
0
24
4
0
17
0
0
0
4
4
16
16
16
16
16
16
16
0
16
1
1
0
0
0
0
16
10
8
8
8
0
8
8
0
0
0
8
16
16
4
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
16
16
16
2
18
0
8
8
32
0
0
2
16
16
16
26
0
0
8
0
1
24
0
0
0
0
8
0
0
0
2
2
18
18
48
16
16
17
8
8
16
0
0
0
0
0
0
0
2
0
0
0
2
16
16
0
16
16
8
8
0
8
4
4
16
0
0
0
0
8
4
4
0
4
4
0
0
0
1
0
4
4
24
24
24
24
24
0
16
0
0
1
1
0
8
0
0
0
2
0
0
0
8
8
0
16
24
21
21
21
0
32
8
8
8
0
16
8
8
8
8
8
0
0
0
4
2
52
8
0
0
16
16
0
0
0
0
8
8
1
0
24
16
16
16
16
16
1
1
1
1
1
0
0
16
16
16
16
16
16
0
0
0
0
32
32
23
0
0
16
0
0
0
0
0
0
16
8
8
8
8
8
8
0
8
8
8
1
0
0
0
0
0
1
0
8
8
8
0
0
0
1
0
8
8
8
8
8
0
0
18
8
16
0
9
0
0
8
2
13
8
16
16
8
0
8
1
1
2
2
0
0
0
2
8
8
4
4
8
16
4
0
0
0
0
2
0
16
16
9
9
4
0
0
0
8
8
8
8
8
0
0
0
0
0
0
0
0
17
0
0
0
8
8
1
0
2
2
2
8
0
8
8
0
12
0
0
8
16
8
8
1
4
4
8
1
16
16
16
17
2
16
0
0
1
1
1
1
1
1
12
12
1
1
8
0
0
0
16
16
0
16
8
4
4
4
0
8
8
0
24
24
24
24
24
0
0
16
16
0
0
8
8
0
0
16
16
0
4
8
0
2
8
0
24
16
8
16
24
24
32
16
1
0
8
8
0
0
12
16
0
0
0
0
0
0
0
0
5
5
5
5
0
0
16
17
17
1
1
8
32
24
16
16
16
0
0
2
16
0
0
34
34
8
8
8
8
8
12
1
1
0
0
0
13
1
0
4
1
4
4
2
2
2
2
30
30
30
30
30
0
32
8
8
8
0
16
6
0
8
32
0
28
4
4
16
4
20
20
16
8
8
8
2
2
8
4
0
0
8
0
0
0
8
0
0
0
0
12
8
0
8
8
8
8
8
8
8
1
1
0
0
24
8
8
8
56
56
0
0
0
0
4
8
8
8
0
0
0
0
32
8
0
0
0
0
0
16
16
16
16
16
16
0
0
2
0
16
1
1
1
0
0
0
16
12
0
8
4
4
0
0
16
1
1
0
0
8
8
1
0
0
0
0
16
2
8
8
16
16
0
4
3
8
16
16
16
16
16
16
0
0
0
0
8
8
0
0
0
24
0
0
2
0
0
30
30
4
2
4
4
8
8
8
8
8
8
8
0
0
8
16
10
10
16
16
16
0
28
16
16
16
1
0
0
0
0
8
0
0
0
0
0
0
4
4
16
16
16
0
0
8
0
0
0
8
16
8
0
0
0
16
16
4
0
8
0
16
0
0
0
0
0
0
0
0
0
0
24
8
16
16
16
8
8
16
16
16
0
0
4
0
2
2
8
8
8
2
0
8
8
2
6
6
0
0
22
22
0
0
0
0
4
4
16
16
4
4
8
8
8
8
16
0
1
6
8
8
2
2
2
0
0
4
0
0
0
0
2
2
33
33
0
0
0
0
48
48
48
8
10
0
0
8
0
0
0
0
8
8
0
16
16
16
16
9
9
16
4
0
8
8
8
2
0
6
4
32
0
1
1
0
0
0
0
0
8
8
10
2
1
24
8
0
0
8
8
8
8
0
0
0
19
16
4
17
17
4
4
4
2
0
0
2
16
0
0
0
4
4
16
0
40
40
16
16
1
16
8
0
0
0
8
1
1
1
4
8
1
0
0
0
16
16
16
0
0
4
8
0
0
0
0
16
16
0
4
1
28
16
24
16
20
14
0
8
8
0
4
0
2
2
2
24
1
1
8
4
4
16
16
0
0
0
13
0
0
0
52
52
0
1
8
0
0
0
24
8
0
10
10
10
10
10
4
4
4
0
0
0
4
0
0
24
24
0
17
8
0
0
16
0
0
0
0
0
0
12
0
0
1
1
0
8
8
0
0
0
16
16
8
8
4
4
4
0
0
0
2
2
0
0
24
8
8
0
8
16
32
2
16
8
0
0
0
8
8
8
0
8
8
16
0
32
0
0
0
24
1
0
0
16
16
24
0
16
8
2
2
2
2
2
0
0
0
20
20
0
0
8
16
24
24
8
17
0
16
16
16
0
2
2
2
16
0
0
0
16
0
0
17
17
17
17
8
8
8
8
8
0
0
0
52
0
0
8
8
2
0
16
4
4
4
24
2
8
2
1
1
0
0
0
0
4
8
40
0
8
8
8
2
2
2
0
0
0
8
0
0
8
8
8
0
16
2
0
8
30
26
8
8
8
0
4
4
8
2
4
0
0
0
38
38
4
0
0
0
0
0
16
32
32
0
16
4
4
0
0
0
8
8
0
8
8
0
0
8
1
16
16
0
19
19
2
0
0
0
0
8
8
8
8
0
0
8
9
0
16
0
0
16
0
24
24
32
16
16
16
1
1
1
0
4
4
8
0
0
4
4
1
40
8
0
0
0
28
28
0
8
8
8
8
1
10
0
7
7
7
16
8
8
8
0
0
0
0
0
24
8
8
0
0
0
0
2
2
0
1
1
8
8
8
0
0
16
16
33
33
33
33
33
16
16
0
0
16
16
0
0
0
24
8
16
8
1
0
0
4
4
4
8
0
0
0
0
8
0
0
16
8
8
0
0
1
1
0
8
0
0
4
4
0
0
24
24
8
8
0
0
0
8
0
0
0
16
16
16
1
0
0
0
0
0
0
0
0
0
16
0
0
16
16
16
0
16
8
0
0
24
24
24
24
24
0
0
20
20
20
20
0
9
9
0
0
0
0
0
1
16
8
8
8
8
0
0
40
16
8
24
0
0
2
4
4
16
0
0
0
0
24
20
8
16
20
48
4
0
16
16
16
16
8
2
0
0
0
0
18
2
2
0
0
0
8
24
16
16
0
0
8
8
8
8
2
8
8
0
1
1
16
16
16
16
16
32
8
8
8
8
8
0
8
8
0
0
0
0
8
8
8
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
8
0
8
8
8
60
60
20
16
16
8
8
8
0
17
6
16
32
4
8
0
0
0
0
8
20
20
16
16
16
0
8
0
0
24
24
24
8
8
0
1
1
0
16
16
16
0
16
16
0
0
0
0
2
0
0
0
0
24
4
2
16
16
16
18
18
18
8
0
16
16
0
0
0
0
0
16
8
8
0
0
0
16
16
16
16
16
0
8
16
16
16
16
16
16
0
0
0
16
16
16
0
0
28
16
2
2
2
8
4
8
8
8
8
0
8
8
8
16
4
4
4
4
4
4
16
16
16
16
8
4
20
12
0
16
16
1
1
1
1
0
16
0
0
0
0
0
0
8
8
8
8
1
0
16
16
0
4
4
8
16
8
0
32
32
0
16
4
12
8
0
0
12
12
8
8
8
8
8
1
1
0
0
4
4
0
0
0
0
0
4
4
4
4
4
9
9
1
1
1
0
0
0
0
0
0
12
0
0
16
16
16
16
4
4
0
0
1
0
0
3
16
16
16
0
0
0
36
36
36
3
3
0
0
0
0
0
0
0
0
16
16
16
16
0
0
16
16
0
0
4
16
16
16
16
16
16
0
8
8
1
8
8
1
1
8
8
0
17
4
0
4
8
1
1
1
16
16
16
0
12
12
16
24
8
8
8
8
8
8
0
8
0
16
12
12
3
0
8
8
8
8
8
0
8
8
8
32
8
6
6
0
0
6
6
0
0
1
8
8
0
0
0
0
0
0
24
16
16
4
0
8
8
0
4
4
11
2
8
0
0
0
16
8
0
4
0
0
8
8
0
0
8
16
0
0
0
0
4
4
4
4
4
4
4
4
4
4
0
20
0
8
8
8
8
0
0
0
1
1
1
1
1
8
8
16
16
24
0
0
16
16
16
16
16
0
0
0
8
0
0
16
0
0
9
8
12
0
0
0
0
0
0
0
8
32
8
8
1
0
0
0
16
16
4
8
8
0
16
0
0
0
10
16
0
0
0
0
0
16
8
24
16
16
8
8
8
8
8
8
32
14
4
4
8
0
2
2
0
0
0
1
1
0
0
0
0
0
26
26
8
8
8
25
25
0
0
0
8
16
0
0
0
0
0
8
0
0
50
0
0
0
0
0
24
24
0
8
0
0
8
0
16
16
1
1
1
1
16
16
20
16
16
16
2
0
0
0
0
0
0
0
8
2
8
8
8
0
0
8
8
16
16
16
0
8
8
8
8
8
1
0
9
16
4
0
6
6
6
0
0
0
0
0
0
32
8
8
0
0
0
0
16
16
16
16
1
32
8
24
24
48
16
0
8
8
16
8
8
8
8
8
8
0
0
0
0
12
12
0
0
0
0
16
16
16
0
8
8
0
32
0
0
16
16
16
0
8
8
8
8
40
8
8
8
8
8
24
4
4
16
0
8
8
8
16
16
16
8
0
8
8
0
0
0
6
16
4
4
4
8
8
8
8
17
20
8
2
0
8
1
1
0
0
8
8
8
16
24
16
0
0
1
1
0
16
16
8
8
8
8
0
0
0
8
8
8
8
0
18
8
0
8
0
8
0
0
0
0
0
0
0
8
0
0
0
16
16
16
16
1
1
1
8
0
0
16
16
0
8
0
0
0
0
0
0
48
0
8
2
8
8
8
0
0
0
0
17
8
0
0
17
0
0
0
2
18
24
8
8
0
0
0
16
0
4
16
32
32
32
0
0
4
8
16
8
8
8
8
25
17
16
16
16
8
8
8
0
0
0
2
2
2
0
2
0
20
0
0
0
0
0
1
1
1
12
8
8
16
48
48
8
8
8
8
8
8
8
8
56
56
8
8
1
1
16
19
0
1
1
16
16
0
0
4
4
4
4
4
0
0
0
0
10
19
40
8
16
16
8
8
0
4
40
4
4
2
0
16
8
0
1
18
8
0
0
16
16
16
16
0
8
8
0
8
8
0
0
0
0
16
4
4
4
16
0
0
8
8
8
8
3
3
3
3
16
16
0
4
0
0
0
0
16
0
0
0
2
1
1
2
2
2
2
2
2
4
16
49
16
16
16
8
32
32
4
4
0
0
7
16
0
0
0
0
1
24
0
8
2
2
16
4
4
33
33
1
2
1
1
1
0
0
0
8
8
8
8
8
8
0
18
16
4
16
4
24
0
0
0
8
0
4
4
24
8
4
4
1
0
0
0
0
0
0
0
16
16
0
0
0
0
18
16
27
2
16
16
0
9
17
17
0
16
16
16
16
32
0
2
8
0
8
8
2
9
9
32
32
0
8
32
16
6
8
8
8
16
8
0
0
0
0
32
32
2
2
2
0
2
2
2
4
4
8
8
8
8
8
8
8
16
16
1
1
0
13
16
4
4
8
16
8
0
8
0
0
0
2
0
0
0
0
0
0
0
0
0
8
8
8
8
0
0
40
18
16
8
8
8
8
0
0
0
24
14
1
0
0
12
12
16
16
16
2
2
2
25
16
16
0
0
0
16
16
0
8
8
9
16
16
0
0
8
16
16
16
9
9
9
4
4
16
8
0
2
0
0
16
8
8
0
6
6
2
15
16
16
1
0
0
0
0
0
0
0
0
4
0
0
1
8
8
1
0
0
6
2
2
8
32
0
0
16
16
1
1
16
16
16
8
8
16
16
16
0
4
1
0
0
20
0
0
0
0
4
4
2
2
2
2
2
2
8
0
0
0
0
4
4
4
0
5
10
16
20
4
0
0
8
4
4
16
16
4
8
8
8
16
4
0
0
0
0
24
24
8
8
0
0
8
0
0
0
2
2
16
16
0
0
16
16
16
0
0
0
0
16
16
4
4
4
1
1
19
0
1
2
2
0
0
0
0
0
8
8
17
8
8
20
4
4
4
4
4
4
0
0
4
4
4
0
0
1
12
0
24
24
0
4
2
2
2
16
3
0
8
0
0
0
6
8
0
0
0
1
8
8
2
2
8
0
8
8
1
0
0
0
0
0
8
16
0
0
0
0
0
2
8
8
0
3
3
3
8
0
0
0
8
8
8
0
1
1
2
2
8
8
0
0
32
32
20
20
0
0
0
16
16
16
16
16
8
16
0
16
0
0
8
0
0
0
8
2
2
8
8
0
0
56
16
16
2
0
0
4
25
0
2
2
2
4
16
16
0
4
2
8
8
8
5
16
57
8
8
2
8
0
0
0
16
16
0
0
0
0
0
8
8
4
0
0
20
20
17
1
0
0
8
8
16
4
4
8
16
16
1
1
8
8
1
1
16
16
16
2
8
8
16
16
8
0
8
24
16
16
0
8
8
8
16
24
0
32
0
8
8
32
8
21
0
0
0
0
0
8
16
2
16
0
8
1
0
0
6
6
0
0
0
0
0
0
17
0
4
8
0
8
0
0
32
32
4
16
16
0
8
0
4
4
4
4
4
4
0
16
2
0
0
0
8
2
2
2
2
8
0
0
18
0
0
0
12
8
8
8
0
0
32
17
0
0
0
24
24
24
24
16
16
24
24
24
40
40
16
16
10
10
1
2
0
0
0
8
8
8
8
8
18
0
0
0
4
4
4
8
8
8
4
4
8
2
8
8
8
8
8
16
0
32
0
0
0
0
0
0
8
16
0
0
8
8
8
8
8
0
0
0
0
0
0
16
16
0
0
8
0
1
8
16
16
16
0
8
8
8
8
8
8
4
0
32
2
4
4
2
2
2
1
0
0
0
16
16
0
0
16
1
4
4
0
0
16
8
4
4
16
16
2
2
0
0
8
8
4
16
16
16
16
8
4
0
0
0
8
8
8
8
0
0
4
4
4
0
0
8
0
0
8
0
16
16
16
2
10
8
16
3
0
4
4
8
0
32
32
32
0
24
8
8
0
0
0
4
4
16
6
6
6
6
8
8
8
8
0
1
0
8
16
16
16
0
0
0
0
0
0
4
16
0
16
0
1
1
1
1
1
8
8
16
16
16
16
21
8
8
4
4
4
4
4
42
8
8
8
8
8
8
8
2
24
0
8
8
0
4
0
48
16
16
16
0
0
4
8
16
8
8
8
21
0
8
0
16
0
2
2
8
48
8
8
8
0
0
0
0
16
8
8
8
0
4
0
4
16
0
8
0
9
9
9
0
2
32
48
24
16
1
1
0
24
24
0
0
0
0
4
8
8
8
8
0
0
8
8
16
48
16
4
0
0
16
1
8
8
8
8
0
4
0
0
0
0
0
0
0
0
6
8
0
0
8
0
0
5
4
8
20
4
0
8
8
0
0
0
0
12
8
8
8
0
21
16
16
0
0
0
0
0
0
12
12
12
0
0
16
8
16
8
8
12
12
14
12
12
2
1
8
8
8
2
8
16
16
16
16
16
16
0
0
8
8
8
8
8
8
8
8
0
8
8
8
16
0
0
16
8
8
8
8
0
16
8
16
0
0
8
0
18
0
0
0
0
0
8
0
16
16
0
0
0
4
4
8
0
0
0
8
8
8
8
0
0
33
1
1
0
0
0
0
8
0
16
0
0
0
8
8
8
8
32
32
16
8
8
8
8
0
10
10
10
0
0
0
0
4
4
0
0
0
8
8
8
8
8
8
16
16
16
0
0
0
0
8
8
8
4
8
8
8
8
24
24
0
0
8
0
16
16
16
4
16
8
24
0
8
8
0
0
25
0
16
16
16
8
8
0
0
1
1
1
2
4
16
8
8
0
8
8
16
16
16
16
16
16
16
16
0
0
0
0
0
8
8
8
8
8
8
0
16
16
0
8
8
0
8
1
0
0
0
0
16
16
16
8
8
8
8
0
24
4
20
4
24
0
24
20
20
0
8
16
16
16
16
8
8
8
8
8
8
8
8
8
8
8
2
48
0
2
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
1
1
16
2
0
8
8
16
32
32
0
8
0
8
16
0
16
16
1
8
8
0
4
16
8
4
4
32
16
0
0
20
0
0
0
0
16
16
16
8
8
8
8
8
0
0
8
8
0
8
8
8
0
0
8
8
8
18
32
32
0
8
8
4
0
8
1
0
0
0
16
16
8
8
30
8
0
0
0
8
24
24
18
0
0
9
22
22
1
1
0
8
0
8
16
32
0
0
8
8
8
8
8
8
8
16
8
8
8
8
1
8
8
16
2
0
10
10
0
0
8
0
0
0
0
8
8
16
0
16
0
0
0
24
0
1
6
0
0
2
20
20
8
8
8
0
0
2
0
0
16
16
8
8
8
8
8
8
32
32
32
32
32
8
0
0
8
8
16
0
0
0
0
16
0
0
2
4
8
16
0
0
8
8
8
8
8
0
0
0
24
8
8
0
0
0
0
4
4
33
4
4
12
12
12
8
8
8
16
16
16
16
16
16
16
16
16
16
8
32
32
8
8
0
0
0
10
16
8
0
40
8
0
16
1
8
8
8
2
2
16
16
4
4
4
0
0
0
0
0
0
8
8
8
20
0
0
24
0
0
8
32
2
0
0
16
0
8
16
16
16
0
9
2
0
3
13
16
16
16
24
8
16
16
0
24
24
28
4
0
0
0
0
0
0
0
0
4
4
8
8
8
8
10
16
0
0
48
48
48
48
0
0
32
8
8
0
25
25
8
34
34
1
1
0
0
0
16
8
8
0
0
0
0
16
16
0
0
10
8
8
0
0
0
0
0
0
16
8
0
1
1
16
16
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
16
8
0
16
0
0
0
1
8
8
0
0
0
0
0
4
4
4
8
24
9
12
0
0
0
44
4
1
1
1
0
0
0
4
8
0
0
0
0
0
0
24
16
16
2
0
0
16
16
0
0
0
2
2
2
16
8
1
4
0
0
16
8
8
20
20
20
20
16
16
16
16
16
16
0
1
1
1
0
0
8
0
8
8
8
8
16
18
18
8
8
8
8
8
16
16
16
16
2
2
2
2
2
2
32
8
0
0
0
8
16
4
4
4
0
0
16
16
16
1
1
1
1
16
0
4
1
4
4
4
0
8
0
0
0
58
58
8
8
8
8
8
8
8
0
8
0
1
1
0
8
32
3
2
0
2
2
0
0
0
0
8
8
8
4
4
8
8
18
0
4
8
0
8
1
1
0
0
16
0
0
0
5
0
0
0
16
16
16
17
9
8
8
4
0
2
30
24
24
4
0
2
2
8
24
4
16
16
12
12
12
0
0
1
0
0
16
2
1
1
2
6
16
2
0
8
8
8
8
8
2
2
2
2
2
2
2
2
2
2
2
12
8
17
17
0
8
0
0
1
1
8
8
8
8
8
8
1
1
1
1
0
0
16
0
0
8
8
4
4
16
8
0
0
8
16
8
8
4
16
8
0
0
24
0
8
8
40
2
2
8
0
0
0
0
0
0
0
20
20
8
0
0
0
0
16
1
1
1
1
8
8
0
9
8
0
0
0
8
16
16
8
0
0
10
4
4
0
0
0
48
4
4
4
0
8
16
0
32
0
4
4
4
20
4
4
4
32
32
0
8
8
16
16
1
1
1
1
1
2
2
2
32
8
0
4
8
4
4
4
8
18
0
8
0
8
8
0
8
8
8
16
0
0
1
8
0
0
8
1
14
8
24
24
4
8
36
16
8
24
22
0
0
0
8
4
4
4
16
16
1
4
16
2
2
0
0
0
0
24
16
8
8
16
16
16
1
1
0
0
0
2
0
0
0
0
0
0
4
16
0
0
0
5
5
5
2
10
8
8
16
16
4
4
16
0
16
16
0
0
0
0
0
16
17
3
24
8
8
0
0
0
0
0
0
1
12
8
0
1
1
1
1
1
0
16
16
0
0
1
16
9
0
1
4
4
4
4
28
8
24
16
0
0
0
0
0
0
0
16
0
24
24
24
0
8
2
8
1
1
1
8
8
1
28
8
8
8
8
0
0
0
8
2
2
0
0
16
16
1
1
1
16
12
4
4
4
0
32
32
32
32
1
4
1
16
16
0
2
0
0
16
4
4
4
1
1
1
1
0
0
0
0
0
0
32
32
32
4
0
0
8
4
16
16
16
16
16
16
16
16
16
8
8
1
8
0
0
0
0
11
8
8
8
0
8
2
8
2
0
0
16
16
0
0
0
0
16
16
8
18
18
8
8
4
0
0
0
0
0
0
4
4
4
0
0
0
0
8
8
8
8
8
8
0
0
8
0
0
0
0
0
4
4
1
1
2
0
16
16
0
1
1
1
1
1
1
1
0
0
0
0
16
16
8
0
0
10
8
8
2
2
4
16
0
8
8
8
0
0
0
0
16
0
0
8
8
0
0
0
16
16
0
0
0
0
0
0
2
0
2
16
8
8
0
0
16
16
16
0
0
1
1
16
8
8
0
4
4
1
4
8
16
0
0
8
8
1
8
8
0
0
0
0
8
16
16
16
1
1
8
8
8
0
0
20
2
8
8
8
0
0
0
8
8
16
0
8
0
8
6
20
0
0
17
8
8
0
9
9
4
1
16
10
10
4
4
0
8
0
1
0
0
0
0
0
0
8
18
8
0
16
16
0
4
8
0
32
32
0
16
0
8
40
40
40
40
2
16
0
0
0
0
8
8
0
0
0
48
48
16
16
0
8
8
16
16
16
0
0
0
16
0
8
8
0
0
0
17
17
16
0
24
32
0
16
0
0
0
0
16
16
0
8
8
8
8
8
25
25
24
8
8
8
8
8
4
8
8
16
2
2
26
26
26
16
0
2
8
4
0
4
0
0
0
0
0
1
1
1
1
0
0
16
16
16
0
0
8
1
40
0
8
1
8
0
16
8
2
16
16
2
8
16
32
8
8
16
0
1
1
8
0
0
18
18
4
4
4
2
2
0
0
0
0
0
0
0
0
2
2
8
8
8
40
2
2
2
8
0
8
8
0
8
0
16
16
4
0
0
0
0
8
8
16
16
16
4
16
0
9
8
16
0
0
0
0
0
0
8
8
0
8
16
16
4
0
1
6
8
8
8
2
1
16
1
1
1
2
4
4
0
4
4
4
12
0
0
16
16
2
8
0
1
1
1
1
8
0
4
22
22
0
16
0
16
8
16
16
0
24
9
0
20
20
16
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
16
8
16
16
16
4
4
4
0
20
20
16
0
0
8
0
0
0
1
1
8
8
1
1
2
32
17
0
0
0
0
0
0
8
0
0
1
0
1
0
8
20
4
8
8
16
16
0
17
1
0
0
8
16
2
2
2
16
24
0
16
2
2
16
16
16
16
8
8
16
0
0
16
16
16
16
0
8
8
0
0
8
8
0
0
0
8
8
0
0
0
8
8
56
8
0
0
0
0
12
16
16
16
16
4
4
4
4
8
8
8
1
1
0
0
8
8
1
0
1
1
8
16
4
0
16
16
16
4
40
40
40
0
8
0
0
0
0
0
0
0
0
2
2
8
12
16
8
0
0
0
0
0
0
8
8
8
0
0
0
8
8
4
0
0
1
1
0
0
8
4
1
16
16
16
8
8
8
8
8
8
8
8
16
16
16
1
0
0
16
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
8
8
8
8
2
2
0
16
16
16
16
16
4
4
0
0
0
0
0
0
0
0
0
0
1
1
0
8
0
24
8
18
16
0
0
8
8
8
0
0
0
0
32
4
2
16
8
0
16
16
16
16
20
8
8
0
0
8
0
8
20
40
8
8
8
0
0
4
4
4
0
0
8
0
0
16
16
4
8
0
8
0
50
2
2
1
1
16
16
8
8
8
8
0
0
16
0
16
16
8
8
4
4
4
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
3
0
0
8
8
8
8
8
8
32
0
0
16
1
1
1
0
41
2
2
8
17
17
17
16
16
24
24
24
8
8
12
8
24
2
0
0
8
8
8
0
16
16
0
0
1
1
17
17
0
2
8
0
0
0
2
2
8
0
16
16
20
4
8
8
16
0
0
8
8
0
4
4
8
2
2
32
0
8
0
0
0
0
4
4
4
4
4
0
0
8
0
0
0
0
16
16
16
16
24
24
24
24
8
8
8
0
16
17
17
17
16
10
4
18
16
16
16
16
16
4
4
0
4
0
0
8
8
4
4
4
4
16
0
6
6
0
32
0
0
0
0
0
2
2
2
8
2
2
0
0
0
16
2
4
16
16
16
1
16
32
0
16
1
16
0
0
0
0
0
18
8
8
0
0
8
0
4
4
4
4
4
16
16
8
0
0
2
2
8
8
4
8
8
8
0
0
0
0
0
0
8
2
2
16
9
9
9
9
1
1
8
0
8
8
8
0
0
20
20
16
0
0
8
8
8
8
0
0
0
0
2
2
2
2
0
4
4
9
9
8
8
16
1
1
1
1
0
0
16
16
16
16
16
16
0
24
0
0
4
2
2
2
2
1
1
1
1
0
8
0
0
0
0
0
0
8
32
8
1
1
1
0
16
0
4
16
16
16
16
32
0
1
1
8
1
18
9
9
9
9
9
9
2
0
0
0
8
24
16
16
16
16
16
16
0
8
0
4
0
0
8
0
0
8
8
40
8
36
8
8
8
8
0
16
1
16
16
16
16
16
16
16
16
16
16
1
0
0
0
0
0
1
1
16
8
8
0
8
8
8
8
8
0
0
0
0
8
8
8
0
4
4
8
1
16
0
0
8
16
0
0
8
1
1
0
16
16
16
8
4
20
8
8
8
8
16
16
16
16
16
0
0
16
16
21
21
21
21
21
1
0
0
0
16
0
8
0
1
0
0
4
4
4
4
16
16
16
0
0
24
32
32
0
0
48
0
40
8
4
8
0
1
1
8
18
1
32
0
24
24
16
1
0
0
16
24
16
16
16
16
16
16
16
1
1
1
0
0
16
0
2
0
0
12
0
8
0
0
0
0
0
0
16
16
0
8
0
26
0
0
0
0
0
0
0
40
40
40
8
8
5
5
0
0
0
0
0
0
0
24
24
8
8
11
25
16
4
4
0
0
1
8
8
8
8
8
8
8
0
0
2
2
2
16
0
0
0
2
1
8
8
16
16
15
15
8
8
8
8
0
8
8
8
0
8
0
0
0
16
16
16
16
8
12
4
4
16
0
0
32
32
0
8
4
8
24
24
24
8
8
8
8
0
0
0
8
0
0
16
16
8
1
24
4
4
8
0
0
0
0
0
8
1
4
8
16
16
16
8
8
8
8
2
2
4
4
16
6
8
8
24
0
8
8
0
24
0
0
0
4
4
0
16
0
0
0
0
0
0
0
16
2
12
8
8
0
0
16
1
16
16
16
0
4
8
0
0
0
0
16
2
2
2
0
0
0
0
8
17
4
4
4
4
0
0
0
1
21
21
0
0
0
8
8
8
8
8
8
8
8
56
56
56
0
0
16
2
2
2
0
16
0
16
16
8
8
20
20
20
0
0
0
16
0
2
2
8
8
16
16
16
24
24
24
8
0
0
0
16
16
16
0
0
0
2
8
0
0
0
5
5
5
5
0
0
0
4
37
0
9
0
0
8
8
0
0
0
0
0
0
8
8
16
16
8
8
0
0
0
0
8
8
0
0
16
8
8
0
0
4
4
26
24
0
0
8
20
4
4
5
1
2
0
0
0
2
0
0
8
4
4
0
0
0
16
16
24
0
16
24
8
0
0
0
24
24
8
8
8
16
16
0
16
16
16
16
0
0
1
1
1
8
8
8
8
8
0
16
16
16
0
8
8
16
5
13
13
16
14
14
1
1
1
1
18
16
0
16
8
8
8
24
24
24
0
1
1
1
1
1
1
16
0
0
0
8
8
8
1
1
1
1
0
0
1
18
0
0
16
16
0
0
8
2
16
12
6
2
0
0
0
17
0
0
8
16
5
1
16
16
8
8
8
0
4
4
4
0
0
6
6
8
0
0
8
0
0
24
8
8
8
8
8
16
4
8
8
0
7
0
0
0
0
0
0
8
8
16
22
8
8
8
8
8
8
0
0
32
0
16
1
8
8
4
4
4
4
16
8
0
0
1
1
32
1
1
1
0
16
16
16
16
16
32
32
8
8
8
0
0
24
24
0
8
4
0
0
0
16
32
0
8
8
8
8
1
0
16
0
0
0
0
0
0
0
2
2
2
2
2
2
2
0
4
0
8
16
0
8
0
0
16
0
0
0
16
4
4
4
0
16
0
0
0
8
16
0
0
16
16
16
16
0
0
0
16
32
8
1
1
3
6
0
0
4
0
16
0
4
0
0
8
0
8
4
4
0
0
1
1
4
16
8
8
1
32
32
16
16
9
9
9
16
4
4
2
2
0
32
32
16
0
4
15
0
16
0
0
0
32
0
0
8
4
4
1
0
0
4
0
0
0
8
8
8
0
0
0
16
8
0
8
8
8
8
0
0
0
0
0
0
0
0
0
0
2
0
1
0
8
4
4
0
0
16
16
4
0
16
0
0
0
2
8
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
4
0
0
12
12
1
1
1
1
1
0
0
8
8
8
16
20
16
16
4
8
8
8
0
4
4
4
4
0
0
12
8
0
0
4
0
0
0
4
22
22
0
0
0
0
0
8
8
0
0
0
0
8
16
8
8
12
0
0
0
0
32
32
32
28
9
9
16
8
8
8
8
8
8
8
8
8
8
8
32
32
28
0
0
0
0
0
0
0
16
16
4
4
4
4
0
1
16
16
1
1
0
0
16
0
0
8
8
8
0
0
0
0
16
16
16
0
4
18
0
0
8
8
8
12
16
16
16
16
0
16
8
8
8
8
0
0
16
16
4
16
16
24
24
24
24
24
24
0
0
16
16
16
8
0
0
0
4
4
4
4
4
8
8
8
16
16
0
0
8
8
8
1
0
8
2
0
0
0
0
0
0
0
0
8
8
0
16
0
8
8
1
1
1
1
1
0
6
2
0
2
2
2
48
8
8
0
0
0
8
8
16
16
16
16
16
5
8
8
37
4
4
4
0
0
0
4
40
4
2
11
16
16
0
0
0
2
2
0
0
0
0
0
0
0
6
8
8
0
10
8
48
8
8
0
9
9
0
8
24
24
8
8
0
8
0
0
0
0
0
8
8
8
8
12
8
0
1
1
0
0
24
8
8
8
0
0
16
16
16
0
0
0
32
16
8
8
8
8
16
0
0
1
8
16
0
8
0
0
0
0
0
0
0
4
8
4
4
8
8
8
8
8
8
4
4
8
0
0
0
0
9
9
8
0
0
0
16
16
16
0
8
0
0
0
8
8
8
0
0
0
16
17
1
0
0
0
0
0
0
2
2
16
16
12
8
8
16
16
0
0
0
0
0
0
0
0
0
2
8
0
0
0
4
0
0
28
0
8
8
8
1
0
0
0
8
1
20
16
0
0
16
4
4
16
16
0
0
16
8
2
2
0
0
16
8
8
24
1
1
1
1
9
9
2
48
8
8
8
8
8
0
0
0
0
0
16
16
0
16
16
0
8
0
39
33
8
25
16
16
16
0
16
0
0
0
8
8
16
0
16
0
0
0
0
0
0
0
0
16
16
16
16
16
9
1
0
8
8
16
16
16
16
8
8
12
0
0
16
16
0
0
0
0
0
8
0
16
16
9
9
9
0
8
18
18
1
1
0
8
0
0
0
8
16
8
0
44
4
4
4
4
25
0
0
0
2
0
0
16
0
0
0
8
8
8
8
0
0
0
0
0
8
8
1
1
1
1
0
16
16
16
0
1
0
8
8
8
25
0
0
16
2
2
8
8
0
0
8
0
8
8
0
0
0
0
0
2
16
16
16
22
8
8
8
0
0
4
0
0
16
16
16
16
16
16
16
16
16
0
0
0
0
4
0
0
0
0
0
4
4
8
8
0
8
8
8
8
8
8
0
0
25
16
16
0
0
8
19
0
2
0
2
4
8
4
8
16
0
9
1
16
0
8
1
8
0
16
16
6
6
8
24
16
8
17
17
0
0
56
56
56
56
21
2
32
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
8
16
20
20
4
4
4
4
4
16
16
20
0
16
24
24
0
0
0
17
17
0
0
0
8
16
0
0
0
0
0
8
0
0
8
8
8
3
8
8
1
1
17
0
9
9
1
1
1
1
4
4
8
16
16
16
0
0
1
1
0
4
8
1
1
8
8
1
4
16
16
2
0
16
0
0
12
32
32
0
1
4
0
0
0
0
0
0
0
0
0
40
40
1
0
0
0
16
2
2
16
12
2
39
0
0
0
8
0
0
16
4
0
0
24
16
4
4
8
0
0
8
0
0
0
8
4
8
0
0
0
4
0
0
0
8
0
16
17
17
8
0
0
0
4
0
0
0
2
2
2
2
1
0
0
8
8
0
0
0
8
16
1
1
4
16
18
18
18
18
16
16
16
16
16
32
32
1
1
1
16
8
8
8
2
2
8
8
8
40
0
0
0
18
0
16
16
12
8
0
8
0
0
0
9
8
8
8
16
16
0
8
0
0
0
4
16
0
0
16
18
16
24
0
2
4
4
4
4
0
0
0
0
0
3
3
32
32
16
8
1
0
0
8
13
16
0
8
8
16
6
1
8
8
4
4
34
32
32
4
0
9
0
0
16
16
16
0
0
17
3
0
2
2
8
0
0
8
8
8
0
0
0
4
4
1
8
8
8
0
49
17
17
8
8
8
8
10
8
0
16
16
0
0
16
8
32
32
0
0
0
8
8
24
8
0
8
8
16
1
1
0
16
0
16
0
16
32
32
10
16
8
8
8
8
8
8
8
0
0
8
4
4
8
0
0
0
8
8
0
8
8
0
8
8
0
4
8
8
17
0
8
8
8
16
8
8
8
0
0
4
4
4
4
4
1
8
8
8
0
0
0
4
8
0
0
0
8
8
0
0
0
8
8
8
21
21
0
0
0
0
0
0
0
2
0
1
1
16
16
8
8
8
0
0
0
0
20
0
0
16
16
16
16
16
16
16
16
16
0
12
12
4
4
12
16
16
8
0
0
0
0
0
0
16
16
0
8
4
4
0
0
4
8
32
0
8
8
8
8
8
1
1
0
0
8
0
24
1
2
2
8
16
16
16
24
24
24
24
24
2
0
16
16
16
0
0
0
0
16
0
24
1
0
32
0
2
0
0
8
16
4
20
51
0
0
8
1
1
20
0
0
0
0
2
2
2
0
8
18
8
8
0
0
0
0
8
8
8
0
0
0
0
0
0
3
57
57
57
16
16
16
33
4
0
0
0
0
0
0
0
0
20
8
8
0
0
0
19
19
19
16
16
16
0
12
8
41
41
41
17
17
0
1
1
1
1
0
56
4
4
4
4
0
0
0
0
0
0
0
0
0
24
0
9
8
1
1
8
0
16
8
8
2
6
6
2
18
0
0
0
1
0
8
8
16
8
0
3
12
12
12
60
1
1
1
8
4
16
0
8
8
0
0
0
0
0
1
1
1
18
0
0
0
0
12
12
12
16
16
4
16
0
0
8
0
16
16
0
16
16
0
8
0
0
0
32
32
1
1
1
0
2
8
8
0
4
0
0
0
0
0
0
1
0
58
58
8
8
8
8
1
1
1
1
1
1
0
0
4
4
32
1
0
0
0
0
0
0
0
0
8
8
0
0
16
4
4
0
0
0
0
0
16
2
2
2
2
2
2
2
0
1
16
16
1
24
16
16
16
0
0
0
16
0
8
16
0
16
16
16
4
1
0
0
2
2
2
2
2
2
1
1
0
0
0
0
2
8
32
16
8
4
16
16
4
8
8
54
0
4
4
8
8
16
16
8
8
0
0
0
8
8
8
8
8
8
16
8
4
0
16
0
0
4
4
0
0
0
0
4
0
0
0
0
8
9
0
0
36
36
37
0
0
0
28
17
0
2
1
13
16
8
0
32
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
9
1
4
4
0
0
4
16
0
0
0
0
0
2
0
0
16
8
12
12
12
12
0
0
8
0
4
8
8
0
0
8
0
1
1
1
1
0
24
24
8
8
8
0
8
2
16
20
8
0
8
16
16
0
1
0
8
8
0
8
14
2
10
2
1
17
8
0
0
2
8
8
1
8
2
0
0
0
0
16
0
0
4
0
12
16
0
0
0
0
0
0
8
4
4
1
0
0
4
5
4
2
2
8
0
16
16
16
1
16
24
16
8
4
0
0
4
4
0
8
8
24
0
0
0
0
8
8
22
22
16
6
4
30
30
1
4
4
4
4
0
0
1
4
8
4
4
0
0
0
0
32
32
0
0
0
40
0
8
12
0
0
0
0
4
0
0
32
32
0
8
0
8
4
4
4
4
4
16
0
0
32
32
2
16
16
8
0
24
25
9
9
9
16
16
0
0
8
6
0
1
16
16
0
0
8
8
9
16
0
18
0
0
16
8
0
2
0
0
0
0
0
8
0
0
0
3
0
0
0
8
8
8
0
16
0
0
32
8
8
0
0
0
2
0
0
16
16
0
0
0
8
8
4
0
0
0
1
1
1
0
16
16
16
16
16
16
16
0
4
4
8
0
0
0
5
2
8
8
8
8
4
32
32
32
0
16
24
0
8
16
16
8
8
20
20
20
0
16
16
16
0
16
2
2
1
6
4
4
4
0
8
16
16
0
0
0
8
8
8
4
0
16
16
16
16
17
16
0
0
4
4
4
0
0
8
16
16
16
16
16
16
16
16
16
16
29
29
24
0
0
0
8
8
8
8
0
0
2
2
0
16
20
2
8
0
21
21
4
4
0
8
8
8
0
8
0
0
0
0
0
24
16
0
0
0
0
5
8
8
8
0
16
16
16
8
16
16
16
0
16
16
16
0
8
0
16
16
16
1
8
8
8
16
0
12
0
8
0
0
0
1
8
8
8
8
1
16
8
8
8
0
4
16
8
2
2
2
0
8
0
0
16
8
8
2
2
0
0
0
16
16
16
16
8
2
4
30
4
8
16
0
16
16
0
16
16
16
16
0
0
9
0
0
8
32
0
0
4
2
2
2
0
16
8
8
8
0
17
8
0
4
0
8
0
0
0
0
0
0
0
28
16
16
16
16
0
0
0
0
32
8
8
0
4
36
24
16
0
0
4
0
16
28
2
2
16
0
8
8
8
18
16
16
16
2
0
0
17
17
17
8
8
1
8
8
4
4
4
4
9
9
9
9
9
9
17
17
0
0
0
0
16
24
8
0
0
0
8
20
20
0
1
4
0
0
16
16
8
0
0
0
0
16
16
8
28
0
16
0
0
0
32
18
8
8
8
8
8
8
0
0
0
16
2
8
0
0
0
0
0
0
1
16
1
0
0
0
0
40
8
0
2
0
0
4
8
0
0
4
4
0
0
0
0
0
8
0
17
16
0
0
8
16
16
0
16
8
0
0
18
18
0
16
0
0
8
8
8
32
0
0
0
24
4
16
8
8
0
25
25
16
24
16
0
0
0
0
16
16
8
1
0
4
32
16
0
0
8
8
0
0
0
0
0
0
0
1
0
0
24
16
8
0
0
0
0
4
4
16
1
8
2
16
16
8
8
8
14
0
5
32
16
0
16
0
0
16
16
16
16
0
0
0
16
0
16
16
16
16
16
8
8
8
8
8
0
0
0
32
32
8
8
0
2
2
0
0
16
16
16
16
0
0
24
0
16
16
8
8
8
8
8
9
8
8
16
16
16
16
16
16
16
16
16
16
16
0
0
0
17
0
0
8
8
8
0
16
0
4
4
4
0
0
8
12
0
1
9
16
16
16
16
16
0
8
8
0
8
8
4
1
0
0
0
6
4
1
1
8
8
8
16
0
0
0
0
0
0
16
0
4
0
0
0
0
0
0
2
0
0
0
0
0
0
16
16
16
8
8
16
0
0
0
8
0
8
16
16
16
0
0
16
6
2
0
0
0
16
16
4
1
1
1
32
0
8
16
0
0
4
0
8
0
0
0
1
1
32
32
2
0
32
32
32
32
0
16
2
4
4
1
48
0
0
8
16
16
16
8
0
40
40
0
0
8
8
0
2
24
4
4
16
1
1
1
0
8
8
2
2
16
8
8
8
0
0
0
0
0
16
16
16
16
4
0
4
16
16
25
8
8
0
0
0
0
0
0
4
0
8
13
1
32
48
8
16
8
8
8
8
8
8
0
0
1
1
1
1
1
1
1
8
16
16
16
18
18
16
0
8
8
8
8
0
0
0
8
8
8
0
0
0
16
20
0
0
4
16
0
8
16
0
0
0
0
0
0
8
8
0
8
0
8
0
28
7
7
8
0
0
1
16
8
8
8
8
8
0
8
8
8
0
0
0
0
8
8
0
0
0
16
4
0
6
6
0
0
15
32
32
4
0
4
0
8
8
8
16
0
16
16
17
16
16
8
24
8
8
8
17
0
42
0
0
0
0
0
8
16
16
16
16
16
0
4
6
4
0
8
8
0
2
2
2
2
0
0
0
16
0
5
5
5
2
16
16
8
4
16
16
0
18
16
16
16
4
4
2
0
0
17
0
0
16
8
8
8
8
32
32
0
4
4
4
8
8
8
0
0
0
0
4
1
1
1
8
0
0
0
16
16
0
0
0
0
0
0
0
8
8
8
8
0
0
0
16
16
16
8
8
8
16
16
0
8
8
0
0
16
16
16
17
8
16
16
0
0
20
16
0
0
0
0
0
0
8
8
8
16
16
0
24
8
8
8
10
0
0
0
8
0
8
0
8
0
0
0
16
8
8
8
1
17
0
0
0
8
8
8
8
8
8
9
9
4
8
8
1
1
0
0
21
8
8
32
32
0
0
16
4
16
0
8
22
8
8
16
8
8
0
0
0
0
0
0
0
0
16
16
16
16
0
8
8
8
8
16
4
4
24
0
20
8
8
2
50
16
0
32
0
2
2
8
8
8
1
4
0
1
2
8
8
8
8
8
8
8
4
1
4
4
4
16
16
16
16
2
8
32
32
32
32
32
0
24
24
24
0
0
16
16
0
0
0
0
48
48
48
48
48
48
0
16
0
48
48
0
0
0
8
0
16
16
2
2
2
2
2
8
0
16
16
2
0
0
0
0
0
0
2
4
16
1
8
8
8
16
16
0
0
32
16
16
8
16
8
2
2
2
0
0
0
8
8
8
8
2
2
0
0
0
0
0
0
0
16
0
40
1
2
16
0
16
9
9
0
0
0
1
0
8
0
0
8
0
0
0
0
16
16
0
1
0
0
0
0
1
1
1
0
32
0
0
0
0
16
0
8
8
0
0
0
0
4
4
2
2
14
5
8
8
8
2
2
2
2
4
4
4
4
4
4
12
0
0
4
4
4
0
16
16
16
0
0
0
48
39
39
8
16
16
16
16
0
4
0
12
8
8
8
0
0
0
16
0
16
9
9
0
32
0
8
8
8
8
8
8
16
4
4
4
4
4
0
0
0
0
16
8
8
0
4
4
16
0
17
8
16
16
32
32
18
0
8
0
40
8
1
0
16
16
12
12
24
16
16
16
1
1
8
0
0
2
1
1
8
6
6
6
6
6
0
2
0
0
0
0
0
0
0
0
0
0
8
8
8
16
16
0
0
0
8
16
0
16
16
8
32
1
1
16
16
16
0
0
8
8
8
8
8
8
8
16
16
0
2
2
10
8
8
16
0
0
0
0
0
0
0
0
0
0
1
16
4
8
8
8
16
8
8
24
24
40
0
0
0
16
8
8
0
0
0
0
12
12
16
16
8
4
4
0
0
0
17
16
0
0
0
8
8
32
1
0
0
8
0
0
22
2
2
2
2
4
8
21
21
21
16
16
8
8
1
8
16
16
0
0
0
4
0
16
0
0
8
20
16
16
0
0
0
0
4
2
2
0
0
8
8
0
0
2
1
8
16
1
32
0
0
0
0
0
0
0
0
0
16
16
0
16
16
16
8
4
0
0
16
24
24
16
16
16
2
16
0
4
4
4
1
0
0
16
16
16
16
20
16
16
1
1
4
16
16
1
1
1
1
8
8
8
8
28
8
0
0
0
56
56
0
0
0
0
0
0
0
0
16
16
16
16
16
0
0
0
8
18
0
0
8
8
8
8
8
0
0
0
0
0
16
0
16
8
1
1
1
1
1
8
8
8
16
16
0
0
8
8
16
0
0
0
0
8
8
16
16
16
8
16
0
0
1
1
0
0
0
16
16
8
6
8
8
8
0
0
0
0
42
32
32
8
8
0
4
4
4
8
0
8
8
8
4
0
0
16
0
16
28
8
8
8
32
32
2
2
2
2
0
1
1
8
0
0
16
16
16
16
0
16
16
16
0
0
0
16
0
0
1
1
1
1
8
20
20
20
0
8
8
0
8
8
16
0
0
0
2
0
16
16
16
16
16
0
16
16
16
9
9
9
9
9
9
8
16
16
16
0
0
16
0
16
16
16
16
16
16
16
0
0
8
8
8
0
0
0
0
1
1
0
0
0
0
0
8
0
0
0
0
8
4
4
2
16
18
16
8
8
4
17
17
17
17
17
0
16
24
0
33
0
0
0
14
0
0
0
4
4
0
24
24
0
2
2
16
0
0
2
0
0
8
8
8
8
8
8
8
8
0
0
0
0
0
8
4
4
8
8
0
0
0
0
0
24
16
16
16
0
0
0
16
0
0
0
16
1
16
8
16
16
16
8
8
8
32
32
32
24
24
8
0
1
8
24
24
0
0
0
0
0
0
0
0
0
0
1
0
8
8
0
0
0
1
8
8
8
16
16
16
16
8
16
2
8
8
0
8
0
0
0
4
16
16
0
8
8
8
8
0
0
0
0
25
16
16
16
17
8
8
0
0
0
2
2
16
14
0
1
1
0
32
0
0
16
0
0
0
16
16
8
38
38
2
2
2
2
16
16
1
1
16
8
8
20
1
0
8
24
16
16
1
8
8
8
16
16
16
16
0
53
8
2
8
8
8
0
0
0
0
16
16
16
8
8
8
8
0
16
3
1
24
12
0
12
4
4
0
16
16
26
26
0
8
16
16
16
16
2
2
4
5
5
0
0
0
8
0
0
2
16
0
0
0
0
0
5
5
0
0
0
4
0
0
0
16
17
8
8
8
8
8
4
16
8
0
0
24
24
24
24
0
0
8
8
1
1
1
8
8
0
16
16
0
0
12
4
8
36
0
8
0
0
0
0
1
4
16
48
16
16
49
0
2
0
0
0
0
0
0
0
0
0
0
0
4
2
2
2
2
0
0
26
26
16
16
52
1
1
0
0
0
0
0
0
0
0
0
16
16
16
16
16
16
24
8
8
8
8
24
24
16
0
0
18
8
8
8
1
16
2
2
0
0
0
8
0
0
0
0
8
2
4
4
4
0
0
0
0
8
0
0
0
0
0
0
0
16
16
16
8
8
8
1
1
1
1
0
10
16
16
16
9
8
1
16
16
2
8
16
8
0
0
4
16
4
16
17
0
0
8
8
8
8
8
8
4
4
4
17
1
1
0
12
12
53
53
53
5
5
5
16
8
8
8
8
0
0
0
0
16
8
16
16
0
8
8
8
8
12
12
16
4
4
17
17
16
4
0
0
1
16
0
35
8
2
5
0
9
4
4
0
33
33
8
8
8
16
8
0
18
1
2
8
2
49
8
33
1
16
16
16
1
8
8
8
0
2
4
4
4
4
11
11
16
8
1
16
8
8
4
1
1
1
0
0
16
0
4
4
4
4
4
0
16
56
4
4
8
8
16
16
16
16
2
4
4
0
0
0
0
0
16
16
16
16
0
8
8
8
8
8
16
4
0
0
8
8
0
0
16
16
0
0
0
4
8
40
16
0
2
0
0
0
16
16
8
1
1
8
8
0
0
0
0
1
1
1
0
0
8
52
8
8
32
0
17
2
2
2
0
0
0
2
0
8
8
8
8
16
0
0
4
4
6
6
0
0
8
8
1
0
8
0
0
0
8
8
0
16
16
0
0
8
8
8
8
2
8
16
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
24
16
8
0
19
0
4
4
0
0
8
8
0
8
8
0
16
16
16
16
16
0
0
2
16
2
0
0
8
0
8
8
24
2
2
16
16
2
16
0
0
0
1
1
1
1
1
1
1
0
8
0
0
4
8
32
2
2
36
4
4
8
0
0
8
4
8
0
8
8
6
4
2
8
8
8
8
8
8
8
16
16
0
0
1
1
1
0
0
0
0
0
0
0
0
8
8
16
16
16
3
2
2
1
0
2
8
8
8
8
16
16
0
0
16
0
0
16
32
3
1
16
16
0
0
8
4
0
0
1
4
0
16
4
0
1
8
8
8
0
16
16
0
4
16
10
8
0
18
18
45
0
0
0
8
10
16
16
16
32
4
0
8
0
1
8
4
8
8
0
32
2
0
0
16
0
0
0
8
8
8
0
0
0
0
1
0
16
8
0
0
0
2
2
2
0
0
8
8
0
4
0
0
5
1
1
1
32
0
0
0
0
0
0
8
8
1
1
4
4
4
24
8
0
28
1
1
1
8
8
8
8
16
16
16
0
0
0
12
4
8
8
8
0
2
16
16
16
16
16
8
1
0
4
8
8
4
4
0
0
0
0
0
0
0
48
8
8
1
0
32
0
16
0
16
16
16
16
16
8
16
0
0
0
0
1
0
2
0
0
16
0
0
33
16
4
4
8
24
0
1
8
8
1
8
8
8
0
24
24
24
24
16
16
16
0
0
0
16
16
8
8
3
3
0
0
16
0
8
0
0
0
0
0
8
1
16
16
16
0
0
4
16
16
16
2
8
4
32
32
4
0
0
1
24
28
8
8
0
0
10
10
10
0
0
0
32
8
8
8
8
8
16
16
16
16
16
16
16
0
18
16
24
0
0
16
0
0
0
0
17
0
16
0
0
0
4
0
8
8
8
8
16
16
16
16
8
8
0
28
0
20
2
0
0
28
24
16
8
16
0
0
1
0
16
0
0
0
24
24
12
8
16
16
16
16
0
0
13
1
4
0
16
22
0
16
16
4
16
8
8
0
16
32
0
0
0
0
0
0
8
0
0
0
9
8
9
16
16
0
8
0
0
0
1
1
8
8
0
8
1
0
0
60
0
0
0
16
16
16
0
8
1
0
16
14
14
0
8
8
8
0
0
8
16
8
0
0
0
0
0
0
0
8
4
4
4
4
4
4
0
16
16
16
0
16
2
8
8
0
16
16
16
16
0
1
2
8
16
16
0
0
0
0
8
16
0
8
0
24
8
8
8
8
8
8
16
8
5
5
8
8
16
8
8
12
1
1
1
1
0
0
1
16
8
0
0
16
4
0
8
24
24
16
16
25
25
4
8
16
1
0
0
0
8
0
0
0
0
32
8
16
24
24
24
24
0
32
32
32
8
0
0
0
0
0
20
20
8
0
2
1
0
0
4
0
24
24
0
0
0
16
16
8
32
24
16
8
8
8
8
8
8
48
0
0
0
0
2
5
5
8
8
8
16
0
0
8
0
8
0
8
8
8
28
0
0
16
8
12
12
12
12
0
2
2
2
2
2
0
0
0
8
0
8
0
4
1
8
8
8
8
0
8
8
8
16
16
0
0
0
2
12
8
8
8
8
12
16
16
16
4
4
8
8
18
0
0
0
8
0
0
0
8
8
8
2
0
0
2
2
0
0
0
0
0
4
4
18
16
8
4
4
0
0
0
16
8
20
4
21
8
8
1
5
4
4
0
8
0
8
0
28
28
16
16
8
0
8
8
0
28
0
0
0
0
12
23
0
0
12
12
12
0
1
8
8
8
0
0
16
0
0
8
16
16
16
8
0
16
0
2
2
2
1
8
8
16
2
0
0
0
2
16
4
4
8
8
8
8
0
8
0
0
32
12
1
50
50
50
0
8
16
8
1
1
8
8
8
16
16
0
0
0
9
0
16
0
0
8
8
8
4
16
9
25
0
0
0
0
2
0
16
16
32
32
16
4
0
0
4
4
4
0
8
0
0
9
0
0
16
16
16
16
0
0
8
4
4
4
4
4
4
16
8
8
2
2
4
0
8
8
8
8
16
0
0
0
16
0
4
6
0
8
0
16
8
4
0
0
16
32
32
32
0
0
8
0
1
1
1
0
0
0
0
0
0
0
8
24
16
4
8
0
10
10
1
0
4
4
8
17
17
4
8
4
0
0
16
2
0
12
32
16
16
8
0
0
1
16
16
0
0
6
6
8
0
2
6
10
10
16
16
16
8
0
0
0
0
0
0
0
0
0
0
8
1
0
0
0
0
0
0
0
0
4
0
0
4
8
8
8
8
8
8
0
0
2
2
2
16
12
0
0
0
24
0
0
8
24
0
0
8
0
16
16
24
8
8
2
16
16
16
16
16
0
6
4
4
4
4
4
4
8
8
0
0
0
0
0
0
0
32
0
8
4
8
0
0
0
20
2
0
0
0
0
8
8
8
4
4
4
0
8
16
0
1
0
8
6
0
4
4
4
8
8
32
16
49
16
2
0
0
0
16
8
8
8
8
16
16
0
0
16
8
1
17
17
0
0
0
0
24
8
8
8
16
16
0
32
8
8
8
32
8
0
0
8
8
16
16
16
16
16
2
16
16
16
8
16
16
16
16
8
8
0
0
8
0
0
24
3
8
18
4
17
0
0
0
4
4
4
16
16
16
16
4
0
0
4
8
16
16
16
24
60
0
0
8
20
0
0
8
8
1
2
2
0
0
8
8
8
8
8
6
6
0
16
16
0
8
0
8
8
8
8
8
8
0
0
0
28
28
0
16
16
16
8
8
8
8
0
0
0
0
16
24
0
0
8
8
0
16
20
8
0
4
12
8
2
24
16
16
24
24
4
8
0
16
16
9
4
0
8
16
16
16
0
0
6
6
6
32
32
32
0
0
5
1
1
4
8
8
8
0
3
36
36
36
16
16
4
4
4
0
0
0
16
8
4
4
16
18
16
0
16
43
43
24
12
32
0
8
9
9
9
4
12
8
40
40
4
0
8
0
0
0
0
0
24
8
0
0
0
0
4
0
0
0
0
0
0
0
0
8
0
0
0
0
2
1
1
8
8
8
0
4
8
24
0
0
16
16
16
4
4
4
4
4
28
9
9
9
0
8
8
8
5
1
16
4
8
0
0
8
8
2
0
4
4
4
4
16
0
0
0
2
9
8
0
0
16
1
1
32
32
0
0
0
8
16
16
8
8
8
4
0
0
0
0
0
24
8
0
0
0
0
16
16
16
16
8
0
0
0
8
8
24
24
24
8
0
16
16
16
0
0
0
0
0
4
12
0
0
8
8
8
0
2
8
0
8
0
0
0
16
0
8
4
4
4
4
4
4
0
0
0
8
0
0
0
16
33
0
0
0
8
8
0
0
8
2
0
0
0
0
0
8
0
0
48
8
12
12
0
4
32
0
0
10
10
16
8
8
16
33
33
0
18
0
0
0
16
8
8
8
0
0
26
26
16
0
8
0
0
0
0
16
16
16
8
16
16
16
16
0
8
8
0
0
0
0
25
4
4
32
8
8
0
0
0
8
0
14
14
0
3
8
8
1
0
16
0
0
0
0
8
8
8
8
16
8
0
0
16
16
0
8
16
16
8
8
16
16
16
4
16
16
1
0
2
0
8
1
1
32
0
0
0
24
24
16
16
16
0
0
2
16
16
16
32
8
9
0
1
0
0
1
33
0
44
4
8
16
8
0
0
0
1
1
1
1
8
8
8
16
0
8
0
0
0
1
1
1
1
1
1
8
8
16
0
0
24
0
0
0
4
4
4
0
16
0
0
0
0
16
16
0
0
0
0
12
12
0
1
0
0
4
2
16
2
2
2
0
0
8
29
0
2
0
0
16
2
8
8
8
8
0
0
18
8
0
0
0
8
8
4
12
2
8
4
4
16
16
20
20
0
2
2
2
8
12
8
8
8
0
6
40
16
16
8
12
8
8
16
16
0
0
0
48
0
0
0
8
8
8
41
41
0
16
0
0
0
0
0
1
1
0
0
16
0
16
0
0
0
8
0
0
8
8
0
0
2
8
8
0
0
0
0
0
32
8
0
0
0
0
1
0
0
0
4
12
12
12
12
12
12
0
0
0
16
8
8
8
0
0
0
16
16
4
4
0
8
8
16
16
16
0
0
0
0
8
0
0
0
8
0
8
8
8
32
32
16
16
8
16
0
6
0
0
32
32
16
0
0
0
0
16
16
16
0
0
0
8
0
16
16
0
0
0
0
0
2
8
8
0
24
0
0
0
9
9
9
9
8
16
16
16
0
0
0
16
16
20
20
0
16
8
0
0
16
0
0
0
16
16
8
8
16
0
16
16
16
8
8
0
1
1
0
0
8
8
8
8
8
8
8
0
0
0
2
8
0
20
2
0
16
8
8
8
24
0
8
8
8
0
4
0
2
0
0
0
3
8
8
8
8
8
5
0
0
16
0
0
0
16
16
16
8
8
8
8
16
0
0
0
1
16
16
8
8
0
0
1
1
0
8
4
0
16
0
0
0
0
0
0
0
16
16
8
8
0
0
8
0
0
16
32
8
8
8
16
30
4
8
0
0
0
0
0
0
0
0
16
16
25
25
28
0
24
24
8
8
0
3
3
24
0
16
8
8
8
0
0
17
17
8
24
8
8
8
24
8
4
16
16
16
16
8
8
8
8
0
8
8
8
8
16
0
0
0
0
42
16
1
1
1
1
4
0
0
0
8
1
0
0
0
0
16
16
0
10
0
0
0
0
1
1
1
0
0
0
8
4
4
16
4
4
24
4
4
2
8
0
0
0
0
16
16
0
0
0
2
2
1
8
0
8
49
49
16
0
0
3
3
3
5
1
1
1
1
1
8
0
8
16
0
0
0
0
0
0
0
0
0
0
8
8
8
8
9
4
0
0
0
0
16
0
8
0
0
8
0
16
0
12
8
12
24
24
0
8
0
8
8
36
8
2
40
12
1
16
0
2
2
2
2
25
16
0
0
0
0
16
16
16
8
0
0
1
1
1
0
0
1
8
8
8
0
0
0
1
8
0
0
8
13
13
13
13
13
5
2
2
2
2
4
1
0
8
0
8
0
8
8
8
0
8
0
8
8
8
4
4
4
4
0
0
0
0
4
4
16
0
4
8
8
4
4
4
16
0
4
0
8
8
1
1
0
0
8
0
0
0
0
8
8
8
0
8
29
0
8
8
0
0
0
0
16
8
8
16
0
8
8
16
0
0
1
0
0
0
0
0
2
8
0
0
8
8
0
8
0
0
8
4
1
1
0
16
16
0
0
4
4
4
8
8
1
1
8
16
16
16
16
16
0
0
0
16
0
0
0
16
16
16
8
0
0
0
8
24
8
1
1
16
16
16
16
8
8
0
2
8
1
0
0
0
0
4
8
16
16
0
0
0
0
0
0
0
16
0
8
8
8
24
24
24
24
24
24
24
0
0
16
16
17
8
16
0
8
0
24
16
2
16
16
16
0
8
8
8
8
49
16
16
16
24
41
4
8
8
8
8
48
4
0
1
20
0
4
4
4
16
24
1
1
15
15
0
0
2
0
0
4
24
8
0
8
8
16
24
16
0
0
1
8
8
0
0
0
0
0
24
24
0
0
8
0
16
16
16
16
17
8
8
0
16
8
8
0
0
4
16
16
4
0
0
16
24
0
2
8
8
8
16
4
0
0
33
0
0
0
0
0
8
1
1
8
8
20
17
0
0
0
8
0
8
0
16
16
16
2
0
16
8
0
0
0
0
0
4
16
0
0
2
2
0
8
0
16
16
8
8
0
24
24
16
8
24
4
4
16
0
0
0
0
0
16
16
4
0
8
24
0
0
12
12
0
8
1
0
0
16
8
8
0
4
4
8
8
16
8
32
8
8
16
16
16
16
8
8
4
9
9
0
0
0
0
3
0
0
0
0
0
0
0
0
1
24
32
32
4
4
4
8
0
0
0
1
0
0
0
24
8
8
8
2
32
0
16
12
24
8
8
8
26
26
8
2
8
1
4
8
8
8
8
8
0
0
16
16
16
0
0
0
0
16
8
8
8
0
8
8
8
8
16
8
49
0
0
16
16
16
0
0
8
8
8
8
8
24
16
8
0
0
0
0
0
0
32
6
6
0
4
8
16
16
16
16
8
0
0
0
0
24
24
0
0
0
0
8
8
0
0
24
0
0
0
1
4
4
1
1
16
16
0
0
0
16
0
0
8
0
0
0
24
0
0
0
0
0
0
4
4
0
8
8
8
8
8
0
33
8
8
8
8
8
8
9
16
0
0
16
16
16
16
32
32
24
0
0
16
8
5
5
5
16
2
0
6
4
0
17
17
0
16
4
8
0
0
0
0
8
8
8
8
0
8
8
8
8
4
0
2
2
2
2
0
0
0
0
0
0
8
16
2
16
4
27
20
20
8
8
0
0
0
1
0
0
0
0
0
0
16
8
16
16
0
0
9
0
40
40
0
0
1
8
8
8
20
20
0
36
1
8
3
0
8
8
8
0
18
24
16
16
0
4
0
0
0
8
4
20
20
0
0
0
16
9
0
16
4
0
0
16
0
0
8
4
0
16
0
1
1
1
9
9
16
1
1
1
1
8
0
4
12
3
4
0
0
0
8
8
8
8
8
0
8
0
0
0
8
8
0
0
0
16
3
3
0
1
8
8
1
2
12
12
0
0
0
16
0
0
32
0
32
0
3
8
16
0
0
0
8
8
4
0
16
16
8
8
8
48
2
0
8
24
8
8
4
4
16
2
0
0
8
16
0
0
8
8
8
8
4
4
18
0
0
1
1
1
1
16
16
48
32
8
8
8
8
8
8
8
32
32
32
0
12
12
12
32
16
8
8
8
8
0
0
17
0
0
0
0
0
8
1
0
0
8
16
8
8
10
10
32
0
16
8
2
2
4
4
1
2
2
2
0
8
8
8
8
0
0
0
0
8
8
8
0
16
8
0
0
10
0
0
0
0
16
0
8
8
8
22
0
0
8
0
17
16
2
2
0
0
0
0
0
0
0
3
3
0
12
0
0
0
0
0
8
16
0
0
0
16
16
16
1
21
21
33
0
0
0
6
6
8
8
1
16
0
0
0
0
32
48
0
0
32
8
8
8
1
8
4
4
8
0
0
32
4
16
8
0
0
16
16
0
0
8
8
4
4
0
0
0
17
17
17
0
2
2
3
0
16
32
4
16
0
0
0
0
16
0
0
1
1
16
16
16
16
8
0
16
0
16
16
16
16
1
0
0
8
0
32
32
32
32
32
32
32
32
5
5
0
16
0
0
0
0
0
32
32
0
8
0
8
0
0
8
0
1
1
12
12
0
0
0
0
0
16
16
16
8
16
8
8
8
8
0
0
0
8
8
0
0
0
0
0
32
24
0
0
2
2
0
0
1
8
0
0
0
0
0
4
0
8
16
18
1
1
10
20
20
45
16
16
0
0
0
1
2
16
0
0
24
17
17
16
16
16
16
16
20
8
8
8
8
8
8
8
8
0
0
4
0
1
0
0
40
0
0
0
8
16
8
0
0
0
0
0
0
0
8
48
48
8
0
8
8
8
0
0
0
0
1
1
1
8
8
8
1
3
1
2
2
16
16
16
16
16
8
8
0
1
2
2
8
8
8
0
0
1
1
0
4
4
8
8
8
8
32
0
0
0
0
0
8
4
4
8
8
1
1
8
19
0
4
4
4
0
2
2
9
0
0
16
16
24
8
0
28
28
0
0
0
1
1
8
8
32
0
2
2
0
0
16
16
16
16
0
0
0
16
16
0
0
0
0
4
8
8
0
0
16
16
0
0
0
0
0
0
0
0
0
16
16
0
0
32
32
8
8
8
8
0
0
0
0
0
0
16
0
0
0
0
0
1
0
0
0
30
8
8
8
8
8
2
0
8
0
0
0
4
0
1
0
16
0
0
0
0
16
0
0
18
18
18
0
0
16
16
16
16
32
8
8
4
8
32
8
8
24
24
12
1
8
24
24
24
8
8
8
8
8
8
8
57
16
1
16
16
16
16
0
0
0
8
49
32
32
32
32
0
24
8
0
16
3
0
0
0
4
4
4
4
16
0
0
16
16
8
0
0
0
0
0
8
8
8
4
8
8
4
4
4
4
8
8
0
21
0
0
0
0
0
8
0
0
0
0
16
4
8
8
0
0
0
16
42
42
0
16
16
17
16
0
4
4
0
8
0
16
8
8
16
32
32
16
16
5
4
4
0
0
0
16
16
1
1
1
0
0
0
0
16
16
16
16
2
2
8
0
8
8
1
0
0
0
0
16
16
2
4
0
1
1
1
8
0
0
2
2
0
0
0
0
8
0
8
8
8
16
0
0
16
16
0
16
16
8
16
18
0
0
49
18
18
18
16
0
0
1
0
16
16
24
24
24
24
8
8
8
8
0
2
2
0
0
4
8
0
1
8
16
16
8
8
2
3
2
4
4
8
8
8
40
8
1
1
0
0
8
0
0
8
4
4
4
5
5
0
0
0
0
0
0
4
4
4
4
8
0
0
0
0
0
0
0
8
8
8
0
4
24
8
8
8
1
1
1
8
8
0
0
16
8
8
16
0
40
0
0
16
16
2
24
8
0
8
16
16
16
16
8
8
0
8
8
8
8
0
42
0
0
0
2
8
0
16
24
24
24
0
8
2
18
25
0
0
0
0
4
0
1
1
8
2
2
12
8
8
16
24
24
24
24
0
41
16
8
8
8
8
8
8
0
0
0
0
28
28
0
17
2
40
8
8
28
8
6
21
0
0
2
0
0
0
0
0
34
8
0
1
1
0
0
0
0
8
8
0
0
0
0
8
8
0
0
16
16
16
16
2
2
2
8
8
0
16
0
0
12
16
0
0
4
4
4
4
4
4
4
8
0
0
0
0
0
0
12
12
16
1
33
1
16
8
4
0
2
2
4
16
4
4
4
0
16
0
8
8
8
16
16
8
0
0
0
8
16
8
4
21
8
8
0
32
4
0
0
18
0
0
0
0
0
0
0
24
8
1
1
1
1
1
0
24
16
0
10
10
24
8
0
8
40
0
1
0
0
0
16
16
0
0
4
4
8
8
8
8
8
8
8
8
8
8
16
0
0
1
8
16
16
0
0
8
8
8
8
26
2
2
0
0
0
0
0
0
16
16
8
8
4
20
8
0
0
16
16
8
8
0
2
33
0
4
20
8
8
17
17
32
0
8
8
8
8
8
8
16
8
16
16
0
5
16
8
8
0
0
0
2
2
2
2
18
0
0
0
0
0
0
8
8
16
0
16
8
8
16
16
16
0
4
16
1
0
2
10
10
24
24
2
8
8
0
0
0
0
8
0
16
16
8
0
0
2
24
21
21
21
8
8
8
0
0
0
4
4
0
0
8
8
6
6
8
8
8
16
8
8
8
8
8
0
16
0
0
0
0
0
0
0
0
32
0
0
0
0
0
16
0
0
0
16
0
0
0
16
16
16
0
20
20
20
20
8
32
48
32
6
16
16
16
0
4
6
6
6
0
0
0
0
0
0
0
4
4
0
0
0
16
1
0
0
16
0
0
0
0
0
0
0
2
16
0
24
0
16
0
0
0
8
8
2
0
0
4
0
0
4
4
8
8
0
0
0
0
1
1
8
8
8
8
8
8
8
0
0
0
0
0
0
16
16
16
16
0
16
0
4
4
0
24
0
0
0
0
0
0
4
4
5
0
0
0
0
0
16
0
0
0
16
8
0
2
4
0
0
0
0
0
0
8
8
8
8
0
0
0
0
0
8
8
0
0
0
4
22
4
4
0
0
1
1
2
0
0
16
8
8
0
0
0
0
0
8
0
0
4
0
0
0
0
0
0
0
0
3
8
8
0
8
0
0
4
4
0
8
8
0
0
0
29
0
16
0
0
0
0
0
0
24
24
0
0
0
0
0
0
8
0
8
16
8
0
0
0
8
8
0
16
16
16
16
12
0
0
4
40
0
0
0
0
0
6
16
0
0
24
0
0
4
0
0
0
0
0
0
0
0
1
1
0
0
8
4
0
0
0
0
4
4
0
16
0
0
0
0
0
0
2
2
0
0
8
0
0
1
16
16
16
25
0
0
0
28
0
4
0
0
2
0
0
0
0
16
0
0
0
0
0
16
0
0
0
0
0
8
8
8
0
0
0
0
8
0
0
16
0
0
0
0
0
0
0
0
0
18
18
0
5
5
4
4
0
0
0
8
8
8
0
0
16
0
0
0
0
0
0
0
1
0
16
40
0
0
16
16
4
1
8
0
0
0
0
16
12
12
0
0
34
16
0
0
16
0
8
0
0
0
44
0
0
0
0
2
4
8
0
0
4
4
0
0
0
0
16
8
0
0
0
1
0
0
0
8
2
0
0
1
0
0
0
2
0
4
4
0
0
0
16
0
0
0
0
0
0
2
0
0
0
0
0
12
0
0
0
0
4
0
0
0
0
8
0
0
0
4
0
24
24
0
0
0
8
8
8
0
0
0
0
0
0
0
8
0
32
0
0
0
8
8
25
8
0
8
8
16
1
20
0
0
0
0
0
0
0
4
16
0
0
0
0
1
2
0
8
12
8
6
18
8
8
0
0
0
0
0
0
0
0
0
16
0
16
0
0
0
0
16
16
16
16
16
16
0
0
16
16
16
0
0
0
0
8
8
8
8
16
16
16
0
16
16
0
0
0
4
16
16
0
16
8
0
0
40
0
0
8
8
8
0
0
8
8
8
1
16
16
0
0
0
0
0
2
0
0
8
0
0
0
8
0
0
2
48
48
48
48
0
0
0
0
0
0
0
17
0
0
0
0
4
0
0
0
0
0
0
2
2
2
1
0
0
0
0
48
48
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
48
60
0
0
1
0
0
0
0
0
5
0
8
8
8
1
1
1
0
0
28
0
0
0
9
29
29
29
29
29
20
0
20
0
0
16
20
1
1
0
5
0
24
0
0
0
0
4
8
5
16
0
0
0
0
0
1
1
0
0
0
0
16
8
8
0
2
26
26
0
0
8
8
24
0
16
0
0
0
0
0
0
16
16
0
0
0
0
0
0
1
0
0
0
0
4
0
0
0
24
0
0
0
16
16
0
0
0
8
8
8
0
32
0
0
16
0
4
0
0
0
1
1
2
8
16
0
0
8
8
0
8
8
0
16
18
0
0
1
0
0
0
23
0
0
16
0
0
20
0
0
4
4
0
0
0
0
0
1
0
0
0
6
2
2
2
0
0
8
16
16
0
16
0
8
0
0
0
6
4
4
8
32
32
0
0
16
6
4
1
0
0
0
16
0
0
0
24
0
0
10
0
0
16
0
4
4
1
0
0
0
16
16
0
4
16
8
8
0
4
0
0
0
0
0
0
0
0
0
0
0
19
0
0
0
4
4
0
0
0
0
0
0
2
0
0
0
8
24
0
0
0
0
0
0
0
13
0
0
8
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
8
8
1
9
0
0
0
4
16
0
0
0
0
0
9
16
2
24
0
0
0
0
16
0
0
0
0
0
8
0
0
16
5
0
8
8
0
16
0
0
0
0
0
16
16
16
0
0
0
0
0
0
0
0
0
0
24
0
0
0
0
0
0
0
8
4
1
0
0
0
0
0
0
0
0
0
0
24
0
0
0
8
8
8
8
8
0
0
8
0
0
0
0
0
0
1
0
0
0
0
0
0
0
4
0
0
20
0
0
0
0
0
0
36
38
38
0
24
16
16
16
16
0
0
32
1
8
8
0
0
0
0
0
16
16
0
0
0
0
1
0
0
0
8
0
4
4
4
4
4
0
8
8
8
4
0
0
0
2
2
24
0
4
0
0
8
0
0
4
32
32
0
0
1
8
0
16
16
16
16
0
8
0
16
0
0
8
0
0
0
0
0
0
0
24
0
0
0
0
16
0
0
0
0
0
16
0
1
1
1
0
0
0
0
0
0
0
8
16
16
18
0
8
8
8
0
0
4
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
8
8
1
1
1
8
0
0
1
0
16
8
0
0
24
24
8
8
2
0
0
2
8
8
0
4
16
0
4
0
0
0
0
0
0
3
2
12
0
0
0
0
0
8
0
13
13
13
13
0
8
8
4
0
0
0
0
16
16
16
4
4
8
0
0
0
0
0
0
0
0
22
0
0
2
0
0
0
0
1
1
0
0
8
8
8
1
18
16
16
8
2
2
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
16
16
16
16
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
2
2
2
4
0
0
8
0
8
0
0
6
0
0
6
6
6
31
0
0
0
0
16
4
0
4
0
0
1
8
8
0
4
24
0
24
0
0
0
0
8
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
16
0
16
0
8
8
8
2
2
0
17
0
8
0
0
16
16
2
0
4
0
9
0
0
0
0
8
8
0
0
16
0
1
8
8
8
8
8
8
8
8
8
8
8
0
0
8
0
0
8
4
4
0
0
0
0
0
1
1
0
0
8
0
0
1
0
0
0
0
0
0
0
0
0
0
8
0
16
16
16
2
0
0
10
10
8
0
0
0
0
2
24
0
0
8
0
0
8
2
0
0
0
20
0
48
1
49
0
0
18
0
0
0
0
8
8
0
0
0
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
8
0
4
0
0
0
0
4
0
0
0
16
8
1
16
0
8
8
0
0
2
8
1
1
0
0
2
0
0
16
0
0
4
0
0
0
32
0
4
7
7
0
12
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
4
1
0
0
16
16
2
8
0
0
0
5
5
0
0
0
0
16
0
0
8
8
0
0
0
0
8
0
0
0
0
0
40
40
0
24
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
21
20
2
21
24
0
8
0
8
0
0
16
0
24
24
0
18
0
8
18
0
0
0
0
0
0
0
0
2
2
0
0
0
0
0
0
0
0
0
0
0
16
16
16
0
0
0
0
0
0
8
8
8
0
0
0
0
16
0
12
0
0
12
8
8
8
0
0
0
24
0
0
0
0
0
0
2
2
0
0
0
2
16
0
0
4
1
0
16
0
16
8
0
0
0
0
0
0
0
17
17
17
17
0
8
0
0
10
0
4
0
0
2
0
0
8
8
34
0
0
0
0
0
16
0
1
1
0
13
0
18
41
4
9
1
0
0
2
0
0
4
1
8
8
0
0
8
0
0
8
8
0
0
8
0
0
0
24
24
24
24
8
24
24
24
8
0
16
0
0
16
16
16
20
32
24
0
0
0
0
0
0
8
0
0
0
0
0
0
2
18
0
0
8
0
0
0
0
0
0
16
8
8
16
0
0
0
0
0
0
0
0
16
8
9
0
0
0
0
0
0
0
0
24
48
48
48
48
0
0
0
2
16
16
16
8
0
0
8
16
0
0
0
0
0
2
0
0
4
4
4
16
0
8
0
0
16
0
0
1
0
16
0
0
0
4
0
0
9
9
28
8
8
16
16
0
0
0
12
0
0
16
1
1
1
0
0
0
0
0
8
0
0
0
16
8
0
0
0
2
2
2
2
2
0
4
4
0
5
2
2
2
0
0
8
16
0
8
0
0
4
0
4
16
0
4
0
0
0
0
0
16
0
8
0
0
0
0
0
8
0
8
8
16
0
8
0
0
0
0
16
16
0
16
0
0
0
1
1
17
0
0
2
0
18
18
0
8
16
4
33
0
0
2
8
5
8
8
0
17
8
0
0
0
0
0
0
0
8
8
16
2
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
16
4
4
0
0
0
16
16
8
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
0
24
8
0
0
0
0
8
0
1
1
1
9
24
0
0
6
0
0
0
0
8
0
0
0
0
2
2
0
0
0
0
0
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
5
0
0
12
0
5
0
0
0
0
20
1
0
0
0
8
9
4
4
4
4
0
0
8
8
8
16
16
0
0
0
0
0
26
0
0
33
33
8
8
0
0
0
8
8
8
28
0
0
0
0
1
1
0
16
0
0
2
0
0
0
8
8
8
8
16
0
0
8
0
0
0
0
0
0
2
0
8
8
0
0
0
0
0
0
0
0
0
8
8
24
8
8
8
0
8
0
0
0
0
4
0
44
16
0
0
0
0
12
8
24
0
0
0
0
8
0
0
0
0
0
8
0
2
0
0
0
28
28
28
0
0
32
16
8
8
0
0
0
0
18
8
2
8
0
0
0
0
10
0
0
4
0
0
0
8
0
8
0
0
0
0
0
9
0
16
0
0
0
0
0
0
0
0
0
16
16
16
4
0
0
0
32
32
16
16
0
0
16
0
0
11
2
0
8
16
16
8
0
8
8
4
0
32
16
4
16
0
0
8
8
24
0
0
19
2
0
8
0
0
20
0
2
0
0
0
0
8
0
8
8
8
8
0
8
16
8
4
8
8
8
0
0
0
0
0
0
0
16
0
0
0
16
0
0
0
16
0
8
24
0
1
0
4
0
0
0
8
24
0
0
8
0
0
2
2
8
0
0
0
0
20
0
8
0
0
24
0
16
0
0
0
17
17
17
0
17
17
17
8
0
0
0
8
2
0
0
0
0
0
32
0
0
0
0
0
0
0
2
2
0
0
12
4
0
8
8
0
0
0
0
0
16
0
0
0
0
0
0
0
0
8
0
0
20
0
0
16
16
0
0
0
8
8
16
16
0
0
8
6
1
0
0
0
0
4
0
0
0
8
8
8
8
32
0
0
32
0
0
4
4
4
4
4
8
0
8
0
20
0
0
8
0
8
8
8
8
8
0
0
0
8
4
0
16
16
8
0
48
4
0
8
16
16
8
8
8
16
8
0
8
18
17
17
0
0
15
15
0
16
0
0
8
8
0
0
0
8
8
8
8
0
0
8
24
0
0
0
0
0
0
16
0
0
0
0
0
8
8
8
16
16
16
8
8
8
8
0
0
0
8
0
0
8
0
0
8
2
4
0
4
4
4
8
2
2
2
2
0
8
32
0
8
8
8
0
16
0
0
0
8
8
8
8
8
8
8
0
0
0
8
8
8
8
8
0
0
0
0
0
8
0
0
0
0
0
8
8
0
0
9
0
32
32
8
0
0
16
8
8
8
0
0
8
16
16
0
8
16
16
0
8
8
8
8
8
10
10
0
8
0
0
0
0
0
0
0
0
2
8
8
4
4
4
0
8
0
8
1
0
0
4
4
0
0
0
0
0
0
0
8
16
0
0
0
0
8
8
0
0
8
4
16
0
0
8
8
0
0
1
32
8
0
0
0
0
0
0
0
0
0
0
12
8
4
0
16
8
0
0
8
16
16
0
0
0
16
16
24
24
24
24
24
8
8
8
8
0
0
0
8
0
0
16
16
1
2
20
8
8
16
8
16
16
8
25
8
0
0
8
1
0
2
2
2
0
0
56
8
8
0
24
4
8
8
0
0
16
24
12
0
0
0
0
28
1
0
8
8
24
24
24
24
24
0
0
12
2
4
4
16
16
16
16
16
0
0
0
0
16
8
8
8
8
0
16
0
0
20
20
20
16
22
0
0
8
0
0
0
0
8
0
23
23
8
8
8
0
16
9
0
0
0
20
20
8
1
4
4
4
4
4
16
0
0
8
16
0
0
8
0
8
0
8
0
0
0
24
24
24
8
8
8
0
16
1
8
1
0
0
0
0
0
8
0
0
16
0
1
8
8
0
0
16
16
16
16
16
4
16
0
8
8
4
0
0
0
0
4
0
0
8
48
0
0
0
8
16
28
0
0
0
0
8
0
0
0
16
0
0
1
1
1
8
16
16
16
8
0
16
8
16
0
0
16
8
0
2
2
2
16
16
4
8
8
8
8
0
8
0
0
0
8
4
0
0
0
0
0
17
8
0
0
0
0
0
24
24
4
8
16
32
32
0
0
0
16
8
20
20
20
1
0
1
0
2
2
2
16
16
16
16
8
48
1
4
0
16
0
0
4
0
16
0
16
8
0
8
8
0
0
8
0
0
0
16
8
0
8
0
0
0
16
8
0
16
8
4
4
4
1
8
4
4
16
16
0
8
0
0
16
24
24
16
0
0
0
0
0
0
0
0
1
1
24
8
16
24
8
16
8
0
0
0
0
0
0
4
1
1
8
0
0
7
20
16
8
8
8
8
8
0
0
2
16
16
16
0
0
0
0
0
0
0
0
24
0
0
0
0
0
16
0
0
1
18
16
8
1
1
1
1
1
0
0
8
16
0
0
8
0
2
2
0
8
9
8
16
24
2
16
5
1
2
2
0
0
16
8
4
1
8
0
0
16
0
0
0
0
0
18
18
0
0
0
8
0
1
10
0
0
8
8
16
16
0
35
1
8
8
8
8
8
0
0
0
0
24
0
8
8
0
8
0
16
16
16
8
0
0
0
0
1
8
0
8
8
4
8
8
0
1
0
0
0
0
24
0
0
0
0
8
16
16
16
0
0
0
0
0
0
0
0
0
8
8
16
16
0
0
0
0
8
0
0
0
1
4
4
4
8
0
0
0
0
0
8
4
4
4
4
4
0
0
8
0
16
0
8
0
0
0
0
0
0
24
0
0
0
0
0
0
16
8
8
8
16
16
8
16
0
0
0
24
1
1
8
0
7
7
7
7
16
16
8
0
0
8
8
8
28
8
8
0
4
4
0
0
0
0
16
16
0
0
24
8
8
24
22
8
0
8
9
16
16
28
0
16
0
0
0
0
0
0
0
0
0
16
17
17
24
24
0
0
24
0
8
8
8
8
4
4
0
9
9
16
16
16
16
0
0
0
0
0
0
0
32
8
8
0
2
2
2
16
8
0
16
24
0
8
4
0
0
0
0
8
16
16
16
16
0
0
0
0
8
0
1
1
0
0
0
0
4
0
0
0
0
8
0
1
0
0
8
8
8
8
0
0
0
0
0
16
16
1
25
0
4
16
16
16
0
0
8
0
0
0
0
0
0
8
8
0
0
8
8
8
26
8
0
0
9
3
0
8
8
8
24
8
0
2
16
16
16
0
0
2
0
0
0
0
0
32
32
32
0
2
0
0
0
0
1
16
8
4
12
8
8
18
0
0
0
0
0
0
0
16
16
16
16
0
0
32
8
0
0
2
0
0
8
0
0
0
0
0
0
0
0
0
0
1
8
0
0
24
0
0
1
8
26
4
4
16
16
8
8
0
9
9
16
33
0
8
16
12
0
46
0
8
8
8
0
43
10
0
18
18
18
2
8
8
8
8
8
8
16
16
16
0
8
0
9
9
8
0
8
8
16
30
30
0
0
0
16
0
0
0
0
0
0
8
0
0
8
0
0
0
0
0
0
8
0
0
0
2
16
8
8
8
0
17
0
0
0
8
8
8
0
16
16
0
0
0
0
8
0
8
0
0
0
0
0
26
26
0
0
0
0
4
6
4
0
16
8
0
0
12
0
0
8
8
8
16
8
16
16
0
8
0
8
4
4
0
0
16
4
20
16
16
16
8
8
0
8
0
0
0
0
0
0
0
16
16
8
8
0
8
16
16
24
0
16
16
16
8
0
8
8
8
2
0
0
0
0
0
16
0
4
0
2
8
8
0
8
0
0
8
8
0
0
1
16
0
16
0
0
0
8
0
0
0
16
16
0
0
8
0
0
8
0
0
0
0
0
2
0
0
0
0
0
8
8
0
8
0
0
0
18
16
8
0
8
8
8
0
8
16
0
0
0
0
0
8
12
2
2
8
4
0
2
2
0
13
13
13
0
16
16
16
0
8
8
8
8
8
32
32
32
32
0
16
16
0
17
0
0
0
16
16
0
8
8
0
0
0
0
0
24
24
24
24
8
2
0
24
16
16
0
0
0
0
0
0
2
2
8
0
0
8
8
16
16
16
0
8
0
0
4
0
0
24
8
8
0
8
0
16
16
16
4
4
1
0
16
8
8
0
8
8
0
2
8
0
0
16
0
0
0
0
8
8
8
8
0
8
8
4
4
8
8
8
8
8
0
0
8
16
2
0
0
0
0
8
8
4
8
8
4
4
0
24
24
8
0
8
8
0
0
0
8
8
20
4
4
0
0
0
0
4
0
0
0
0
8
8
8
0
0
16
0
0
0
0
0
2
0
0
16
16
0
16
1
16
0
0
0
0
0
16
16
1
9
0
0
0
0
0
16
0
0
8
2
2
4
0
8
0
2
8
0
2
0
8
8
0
0
0
0
18
0
1
16
0
0
0
0
0
0
4
8
16
16
0
0
0
0
0
0
0
0
0
0
0
0
8
8
16
16
1
16
16
16
16
0
0
0
8
0
0
0
0
0
2
0
16
24
0
2
8
0
0
24
8
1
8
0
0
0
0
0
0
0
0
0
0
8
8
8
0
8
0
16
8
0
8
0
0
0
16
16
0
32
0
20
20
32
8
8
0
4
0
0
16
16
16
2
2
2
8
8
8
2
2
4
4
4
4
4
8
0
24
8
0
0
0
0
0
9
1
1
24
8
8
8
8
0
16
0
0
0
0
0
8
8
8
8
16
16
16
16
16
0
8
1
0
0
0
0
0
0
0
24
0
0
0
8
0
0
0
16
17
0
8
32
8
1
4
4
2
0
8
8
0
3
0
0
0
0
0
0
0
0
0
0
0
0
0
10
32
32
0
4
0
8
16
16
0
0
0
0
4
0
0
0
0
0
16
4
0
2
2
2
2
0
0
0
1
8
8
8
0
8
8
0
16
0
0
0
36
36
1
0
1
1
16
0
0
0
8
16
16
16
48
8
8
8
0
0
1
8
0
0
0
0
8
16
16
0
0
4
4
0
0
0
32
0
32
32
0
0
8
8
0
0
0
0
0
0
0
0
16
0
0
1
1
1
8
8
9
17
0
8
16
32
0
0
8
8
22
22
0
16
16
8
0
8
16
16
16
18
0
0
8
8
8
16
16
12
1
0
8
10
10
0
12
32
16
4
16
2
0
4
8
8
4
16
0
0
0
16
16
16
16
24
24
0
0
16
16
0
16
0
0
0
0
0
0
0
8
8
8
8
8
1
1
1
3
3
8
0
16
0
2
1
1
1
20
0
0
0
16
0
0
12
8
9
9
9
4
0
4
8
8
8
0
0
8
0
0
0
8
16
0
8
8
0
0
24
0
0
8
0
0
22
0
2
24
8
0
16
0
8
8
8
0
0
0
0
0
16
0
8
8
8
8
0
4
0
0
0
0
8
16
16
0
0
1
0
16
16
16
1
0
0
0
32
32
32
32
32
0
24
0
4
0
8
8
8
8
20
8
0
0
0
0
4
16
16
0
0
0
8
2
0
0
8
0
0
10
10
0
0
0
0
8
0
8
8
8
9
0
16
0
0
0
0
0
0
20
20
0
2
2
11
4
0
0
0
0
0
8
8
0
0
0
0
8
8
8
1
0
0
0
0
0
1
8
24
0
0
16
16
16
0
0
8
8
0
16
16
0
0
0
0
16
16
16
8
8
0
16
16
8
8
0
8
8
16
16
0
0
20
0
2
0
16
16
0
8
24
2
2
0
1
1
0
8
8
8
8
0
8
8
8
0
0
0
0
0
16
0
0
0
0
0
0
8
8
8
4
4
0
16
41
8
0
2
2
0
1
16
0
0
8
8
8
8
8
0
4
0
0
16
0
16
8
16
0
0
8
8
0
8
8
8
0
0
0
0
0
16
20
0
0
0
0
8
8
0
4
4
8
8
8
2
2
0
0
0
0
0
8
8
8
0
8
0
0
8
8
0
8
0
0
0
8
8
8
0
4
8
6
8
8
8
8
0
0
0
0
8
34
0
8
8
8
0
0
24
24
0
8
8
8
8
8
8
0
0
4
0
0
8
10
10
10
0
0
0
8
8
0
0
0
8
0
8
0
0
18
8
32
32
1
0
32
0
17
17
17
8
0
0
0
0
0
0
2
2
17
0
0
0
0
0
0
24
16
0
16
16
0
0
0
1
0
25
25
8
0
16
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
17
17
16
8
16
16
21
0
0
8
0
8
16
8
8
0
0
0
0
0
16
0
8
8
24
0
8
4
4
12
0
8
1
1
1
1
1
0
2
2
2
2
0
4
0
4
0
8
8
0
8
1
9
16
16
16
0
2
16
8
8
8
0
8
8
8
8
8
4
4
4
4
0
20
16
0
0
0
8
0
0
0
0
1
0
16
10
0
0
0
0
8
8
8
8
8
8
8
1
1
8
8
8
0
0
0
2
0
1
1
0
0
0
0
0
8
8
8
8
0
8
2
0
0
0
8
2
2
0
8
8
16
0
8
0
0
18
16
0
0
8
8
0
0
1
8
8
8
0
16
8
0
0
1
0
0
24
24
24
0
16
16
0
16
0
8
0
8
5
8
56
56
18
0
0
0
0
0
0
0
0
0
0
0
0
24
0
0
0
8
0
8
0
0
8
8
0
8
2
2
2
2
2
8
8
4
0
0
0
4
8
16
0
8
8
8
0
0
0
8
8
0
0
0
0
0
0
16
15
0
8
0
0
4
0
0
0
0
1
0
8
8
0
0
0
4
16
0
8
8
1
0
0
0
0
57
8
8
8
0
0
0
8
8
8
8
0
0
0
1
1
8
0
0
2
10
0
8
8
16
0
0
0
0
0
2
0
0
0
0
0
8
0
0
0
0
16
0
16
16
0
0
0
40
16
16
0
0
0
0
8
16
16
16
16
16
16
16
16
0
0
0
12
16
16
16
16
8
0
16
8
8
8
16
12
12
12
8
0
8
1
8
0
0
0
0
0
4
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
2
18
0
0
0
0
8
8
8
8
8
8
0
8
0
0
33
0
0
0
8
16
0
0
0
4
0
0
0
0
0
8
17
16
0
0
0
0
16
0
8
8
0
0
0
2
1
8
8
0
8
8
8
0
0
0
0
6
4
4
4
8
0
0
8
0
18
16
20
16
16
16
8
8
8
9
16
0
1
21
21
0
0
8
11
0
0
0
1
0
0
8
8
16
16
16
0
17
0
8
8
4
12
4
4
4
1
0
1
0
0
16
16
8
8
8
5
5
0
28
8
0
0
0
0
0
12
1
0
8
0
4
4
8
8
16
0
0
16
16
16
8
8
8
7
0
16
0
8
8
16
16
16
0
0
8
8
0
0
4
4
31
2
1
1
1
26
26
24
0
24
24
8
8
56
4
4
4
0
8
8
0
16
3
0
4
4
4
16
16
16
16
0
8
25
25
25
18
8
16
0
0
16
0
0
0
0
0
0
0
0
0
0
0
28
4
12
4
0
8
16
16
0
0
0
0
0
0
32
24
4
4
4
0
0
8
1
1
1
40
16
57
1
8
8
8
0
0
0
30
24
1
2
1
0
8
8
8
8
8
8
0
0
0
2
6
0
0
0
0
0
8
8
0
0
8
8
8
8
22
16
16
24
24
24
24
8
24
8
32
32
32
49
0
0
16
16
0
0
0
16
16
1
1
16
0
0
0
16
1
1
1
16
16
16
0
0
0
0
0
0
1
1
8
0
17
17
0
0
0
0
0
4
2
8
32
32
0
16
16
16
16
1
4
4
4
16
16
8
16
0
0
28
28
0
32
32
8
8
1
1
1
0
0
8
8
0
0
0
1
1
1
1
1
1
0
0
0
0
16
16
16
16
2
2
2
2
8
0
0
0
0
0
0
34
34
8
0
0
0
16
16
0
0
0
0
0
0
0
0
0
8
0
8
4
28
28
28
2
2
2
9
4
4
20
16
8
8
8
8
8
8
0
8
1
1
16
16
8
8
16
8
3
3
0
0
2
2
8
16
16
16
32
32
32
0
0
0
0
19
32
18
18
0
0
2
8
0
4
8
0
0
0
0
0
16
16
16
16
24
24
24
18
18
18
28
0
0
8
8
8
8
8
8
8
4
8
8
2
16
4
8
0
4
1
8
8
8
8
8
0
0
0
17
17
16
0
0
0
8
8
0
0
8
8
8
8
8
8
8
8
1
0
0
0
20
8
17
0
0
2
0
0
0
0
0
0
0
0
0
24
0
0
32
0
2
2
16
16
16
4
2
0
0
32
0
0
4
4
4
0
8
4
4
4
4
4
4
32
2
8
20
20
20
0
16
16
8
8
8
8
8
8
0
8
0
8
8
8
0
0
0
8
8
8
0
0
8
16
16
16
8
0
8
0
16
16
16
16
16
16
16
16
16
16
2
0
0
0
0
0
2
8
0
0
0
0
8
8
32
0
0
8
2
2
16
16
16
16
16
16
8
16
16
16
4
8
8
32
56
0
0
0
0
0
0
0
0
17
17
17
0
4
17
24
16
16
16
8
0
0
12
32
4
4
16
16
0
0
2
2
12
12
2
2
16
16
16
0
16
16
16
16
16
16
8
0
8
8
8
8
8
8
1
1
16
16
16
17
16
0
0
8
8
8
0
0
0
16
8
8
8
1
0
8
16
25
1
25
25
8
3
0
0
1
8
8
8
8
0
8
8
8
0
0
0
8
8
8
8
0
8
8
8
0
0
0
4
0
0
0
20
16
8
8
17
16
16
8
0
0
0
0
17
4
32
0
0
0
8
8
16
16
2
0
0
8
16
0
0
16
16
16
32
32
8
28
28
28
16
0
8
1
8
8
8
8
20
20
32
0
0
8
8
8
16
16
32
16
16
0
0
16
16
16
8
0
0
4
8
8
8
16
0
16
0
0
8
8
8
8
16
8
8
8
17
0
0
0
16
0
0
4
4
4
4
8
8
0
8
8
8
0
16
16
16
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
1
0
30
30
16
8
0
0
0
0
0
0
0
8
0
0
0
16
24
24
24
16
0
24
24
24
24
1
8
8
0
0
0
0
0
0
0
8
2
0
10
18
0
0
1
8
0
0
33
0
8
16
0
0
0
16
8
8
20
20
0
0
6
0
0
16
16
16
16
0
0
0
0
0
16
16
16
8
8
4
8
8
8
8
8
1
1
1
1
1
8
16
16
0
32
1
1
1
16
8
8
8
0
16
16
0
10
8
8
8
8
8
2
8
4
4
32
8
8
8
32
48
48
0
8
0
0
0
0
8
0
0
16
16
17
16
16
16
0
0
1
16
16
16
16
16
0
0
0
0
0
0
0
0
0
8
0
0
4
4
16
8
8
8
8
8
16
16
8
8
8
8
4
16
16
0
16
16
0
24
24
24
16
16
9
9
8
1
8
0
16
4
0
0
0
0
0
0
16
16
8
8
8
16
8
8
16
16
16
0
32
32
4
1
1
0
0
20
17
17
16
0
14
14
14
14
1
1
1
0
16
8
0
0
0
8
8
8
8
8
8
0
0
0
0
16
16
8
16
53
52
0
0
0
0
8
8
16
16
8
16
16
24
12
0
0
2
26
10
24
8
0
0
0
0
0
0
8
8
8
0
16
16
1
16
2
25
16
58
56
56
56
0
0
0
8
8
8
24
24
24
24
24
0
0
0
0
2
2
2
0
0
0
0
0
0
24
9
16
9
0
0
16
16
16
8
56
0
0
0
0
16
16
16
0
0
0
0
3
6
0
0
0
4
4
4
4
8
8
16
16
17
0
8
8
8
8
8
16
16
8
0
0
2
8
4
8
8
8
0
2
8
8
2
2
0
17
0
0
0
4
4
0
0
0
0
0
0
0
0
16
16
24
24
3
16
0
4
0
0
4
20
16
8
0
0
4
4
0
0
4
1
1
1
1
8
0
8
18
18
1
1
8
8
16
16
8
0
0
16
16
16
0
0
0
0
0
16
16
16
16
16
16
16
24
16
4
8
8
0
0
8
8
8
8
8
0
2
2
8
0
0
16
16
16
2
16
16
16
8
4
4
4
0
0
0
8
8
2
2
8
8
16
0
0
1
1
24
16
8
16
4
4
0
0
0
0
0
56
56
0
20
0
0
16
16
16
16
8
8
0
0
4
4
0
0
0
0
4
16
33
4
4
1
8
0
8
8
16
16
16
24
16
2
8
8
0
0
0
0
0
4
13
8
8
8
8
8
8
16
8
16
16
0
0
0
0
0
8
0
6
6
0
16
16
16
0
0
16
8
0
0
8
8
8
32
16
8
8
0
24
28
28
28
28
1
16
17
16
0
0
0
0
4
4
1
16
16
16
1
1
4
4
4
4
4
4
4
2
2
2
2
2
0
0
0
16
16
32
8
0
16
8
8
8
0
0
8
12
33
4
28
0
0
16
16
4
8
8
0
12
12
0
0
0
0
8
8
8
8
8
8
8
4
4
1
1
0
0
0
12
12
12
12
12
0
8
0
0
2
2
2
16
24
24
24
0
0
8
1
1
1
4
4
4
4
15
15
0
0
8
26
8
8
8
8
8
4
4
16
0
4
4
0
0
32
32
32
8
8
0
0
0
0
0
0
0
8
0
0
0
16
24
24
16
16
0
0
0
0
1
5
16
0
0
0
0
0
0
0
4
4
8
0
8
8
4
6
6
8
0
32
32
32
8
8
2
2
2
16
16
0
0
0
0
0
8
16
0
0
0
0
16
16
8
8
8
8
1
1
5
16
0
4
4
4
9
12
8
4
0
0
0
8
0
0
0
0
0
0
32
0
0
0
8
16
16
1
16
0
16
16
0
0
0
0
0
8
16
0
56
16
4
8
0
0
0
16
10
0
0
0
0
4
4
0
24
0
0
1
8
8
0
8
16
2
2
0
0
0
0
0
8
8
0
16
1
0
8
0
0
0
32
8
8
0
32
8
8
8
8
16
16
16
16
0
1
1
16
16
16
16
16
8
0
0
0
8
0
29
29
0
0
17
0
0
24
8
0
0
0
32
32
32
0
0
0
0
2
2
0
0
0
16
16
16
16
0
0
0
0
32
0
0
0
16
16
16
0
0
0
16
16
16
8
0
8
16
16
16
16
0
16
16
2
16
16
16
0
16
16
16
16
16
16
16
0
0
16
16
16
16
16
16
1
0
8
4
0
0
0
0
16
16
16
32
8
0
0
0
0
5
16
16
8
8
8
8
8
8
1
8
8
8
8
16
16
16
0
17
8
32
2
16
0
0
0
0
0
0
0
0
0
8
8
0
8
16
8
8
8
8
0
0
0
8
8
16
8
8
0
40
0
0
8
8
0
12
12
0
25
16
0
0
0
0
16
8
8
0
16
8
16
16
17
0
0
0
0
4
4
4
4
2
2
2
16
16
16
16
16
16
2
0
0
0
0
4
0
0
4
20
20
0
0
4
0
0
8
32
32
0
0
8
1
0
0
0
0
16
8
0
16
0
0
0
0
15
8
4
4
4
4
4
4
0
0
0
9
1
16
16
8
2
2
0
0
0
0
0
4
24
8
8
8
24
0
32
6
32
32
0
0
0
8
8
8
8
16
16
4
0
32
32
32
32
8
0
4
4
8
8
0
2
0
0
24
16
16
0
0
0
28
0
16
0
16
16
32
32
8
8
8
8
8
8
27
27
27
0
0
0
0
8
8
8
0
0
16
4
4
0
0
2
2
0
0
0
1
1
1
1
18
18
8
8
8
0
28
0
8
8
8
8
8
0
0
16
0
0
0
0
8
4
16
16
16
16
16
16
0
16
16
16
16
16
8
0
0
0
0
0
0
0
0
2
0
22
22
0
0
0
0
0
0
0
4
4
4
4
4
8
8
1
1
0
0
0
0
0
0
0
0
0
32
8
8
8
8
8
8
8
0
33
1
4
4
1
8
24
24
24
24
12
12
0
4
8
8
16
16
16
1
0
0
0
0
0
8
8
0
4
4
4
4
10
0
0
0
0
0
8
0
0
0
0
0
0
28
28
28
0
8
12
0
16
8
2
2
2
0
24
17
17
2
2
2
16
16
0
0
16
16
0
0
0
8
8
28
28
28
28
28
0
0
0
34
0
8
8
8
0
0
0
0
8
8
8
0
8
8
0
2
2
2
0
6
6
0
0
0
32
32
32
32
32
4
4
4
0
16
16
8
1
16
24
24
24
24
8
24
4
8
8
0
0
16
16
8
0
0
0
16
0
16
0
0
8
8
8
8
8
16
0
0
1
16
2
18
1
16
16
4
12
16
16
16
16
16
8
8
8
16
16
16
0
0
0
0
0
8
8
0
0
1
1
0
4
4
4
4
16
0
0
16
16
16
8
1
8
8
0
0
0
8
8
8
0
25
25
25
25
0
32
6
6
1
1
0
8
8
8
2
2
0
0
0
0
0
0
8
4
0
0
1
8
0
32
0
0
1
1
1
1
16
1
16
6
0
0
0
0
0
8
16
16
1
6
6
2
2
8
16
0
0
0
0
0
0
0
0
4
20
0
0
0
0
0
0
16
16
0
0
0
0
0
16
8
48
4
0
0
0
0
0
0
0
0
0
4
4
2
8
8
8
8
2
8
0
0
0
0
1
8
8
8
8
8
8
16
16
16
4
4
1
0
0
4
26
18
8
8
24
8
8
8
0
16
16
16
2
2
16
16
16
16
16
16
0
4
0
5
0
0
16
16
26
26
26
16
16
16
8
0
0
0
0
4
4
8
8
8
0
2
8
8
8
0
0
0
0
0
0
2
2
2
16
16
16
0
5
5
16
0
48
18
18
18
9
9
9
9
9
9
9
9
16
8
2
2
2
2
8
8
8
16
1
1
1
4
4
4
10
10
16
0
0
0
0
24
0
16
16
16
2
2
2
4
16
16
12
12
2
8
8
25
32
32
32
32
32
0
0
0
0
0
20
8
8
44
44
8
0
4
14
0
0
8
16
0
0
16
8
0
0
0
36
4
24
8
12
12
12
8
8
16
1
0
0
0
1
1
1
0
1
16
4
4
4
4
4
4
0
4
4
8
0
4
24
24
24
8
8
9
8
0
8
4
4
4
4
4
4
40
2
2
16
8
1
1
0
0
48
1
1
8
39
16
16
1
1
8
8
8
8
0
8
8
8
8
8
8
8
0
0
8
8
8
0
16
16
16
8
0
0
16
0
16
16
16
18
8
0
8
8
2
0
0
0
0
1
1
1
4
0
0
0
0
0
0
4
4
0
0
0
24
8
8
12
0
40
8
0
16
16
8
0
8
8
8
8
0
0
16
16
16
16
16
0
0
8
0
0
0
16
16
8
8
8
17
17
0
8
8
0
0
0
0
0
0
16
10
10
10
10
10
0
0
12
12
2
2
2
0
0
0
16
0
0
0
8
8
8
8
16
0
0
0
1
0
4
4
16
16
8
16
0
0
0
0
0
20
4
16
16
0
0
16
8
8
0
0
0
0
41
41
41
41
41
16
16
16
16
0
0
16
1
1
16
16
16
8
8
20
20
20
20
8
0
0
0
0
8
8
0
1
8
8
0
0
16
4
4
4
4
0
0
8
8
8
8
8
8
8
8
8
8
16
8
20
0
0
0
0
0
26
34
8
0
0
0
0
0
0
0
2
16
16
1
1
8
8
8
0
0
0
0
0
0
8
8
8
33
33
8
8
2
0
8
8
4
20
20
16
16
16
0
0
0
8
8
8
8
8
8
24
0
0
16
0
0
24
24
0
16
0
4
4
1
1
0
0
32
0
0
0
8
8
8
8
8
8
8
8
40
40
40
4
4
0
0
0
0
16
0
8
8
0
20
20
16
0
0
2
18
20
4
12
12
12
16
16
16
0
8
8
8
8
8
0
8
8
0
9
0
0
0
4
4
4
8
8
8
16
0
2
16
0
0
0
0
0
16
24
16
0
0
8
24
16
0
0
16
16
12
40
0
0
0
0
0
0
4
0
0
0
17
48
0
1
16
16
16
16
16
16
16
16
8
8
1
1
1
1
1
8
26
16
16
16
0
0
8
0
1
16
16
16
16
16
0
0
0
0
0
16
16
0
0
8
8
8
8
18
0
32
32
8
0
0
0
16
16
0
0
0
9
0
24
24
0
0
0
0
16
16
0
0
1
22
20
0
16
16
16
2
2
2
2
2
1
0
16
0
0
0
0
0
8
16
16
16
16
8
0
0
0
8
41
41
41
41
41
41
41
41
8
0
4
0
0
0
0
32
1
1
16
8
0
42
42
42
8
8
8
8
8
0
8
0
0
0
16
2
2
1
1
1
0
0
0
0
0
32
0
0
8
0
2
28
0
0
0
0
8
0
8
8
24
32
32
0
0
0
0
0
8
8
16
16
0
0
0
0
0
0
0
0
0
32
32
8
0
0
0
16
16
16
16
16
16
0
0
16
16
16
16
24
24
24
24
32
28
16
0
0
0
0
0
8
22
0
4
4
0
8
4
4
4
4
4
4
4
16
0
8
24
24
24
24
8
8
8
0
4
16
4
4
4
9
0
0
0
0
16
16
8
0
8
8
0
8
0
0
0
29
16
8
8
16
16
16
16
18
8
8
8
8
16
0
0
0
0
8
8
0
0
0
13
8
8
8
8
22
8
32
4
8
9
4
4
4
4
0
0
0
0
0
0
1
8
8
0
8
0
0
2
3
3
0
0
0
16
32
2
0
0
4
0
0
2
18
2
8
8
9
8
8
16
16
16
16
1
0
8
0
1
17
0
1
8
16
0
1
8
8
0
0
16
16
16
0
0
0
16
0
0
0
0
0
8
8
8
2
16
0
8
0
0
0
34
0
0
8
16
8
0
48
1
1
0
0
0
8
8
8
8
8
8
8
8
1
16
32
48
0
0
8
8
8
17
0
8
8
8
0
1
8
2
2
16
16
0
8
0
0
3
0
0
16
16
16
16
8
2
2
4
1
1
16
16
16
24
24
0
0
8
40
16
16
16
0
8
8
8
8
8
8
8
0
0
1
1
1
1
1
0
0
0
2
4
4
4
0
16
8
0
8
1
8
16
4
4
4
28
28
2
0
0
4
0
11
16
8
0
0
23
8
8
0
0
0
2
0
0
16
1
18
0
16
16
0
0
24
16
16
2
24
0
25
0
0
0
0
8
1
1
4
4
4
4
4
16
0
20
8
8
0
18
18
8
8
8
8
16
16
17
16
16
16
16
1
1
0
0
8
8
8
16
16
16
27
27
0
0
16
16
16
0
0
8
0
16
0
0
8
8
8
0
0
0
0
0
0
0
8
8
16
16
16
0
0
4
4
3
32
24
24
24
16
4
16
16
0
0
0
0
0
0
16
16
0
0
0
0
16
16
8
8
16
16
16
16
16
16
16
8
8
1
1
0
0
0
0
0
8
0
0
0
32
32
32
4
48
0
0
0
0
0
16
16
8
8
0
1
1
8
8
8
8
16
2
8
16
2
0
0
0
0
0
16
51
8
4
2
24
0
0
0
0
8
8
8
8
8
8
8
8
0
0
0
16
16
2
2
4
4
1
1
4
16
16
0
0
0
8
8
17
16
0
0
0
8
16
16
16
16
16
24
4
4
0
12
12
12
12
12
16
0
16
0
16
16
16
16
16
1
0
0
8
8
8
8
8
0
16
16
2
8
8
0
0
1
12
0
1
16
24
24
24
0
0
3
16
16
0
24
4
12
12
0
4
4
4
2
2
2
2
2
8
0
8
0
0
0
0
24
0
0
0
2
2
2
35
16
16
16
16
8
8
8
8
8
4
4
8
0
0
0
0
0
16
8
8
8
8
8
8
8
8
2
2
2
8
0
0
0
2
4
4
2
8
8
8
8
8
8
8
8
1
8
8
8
8
0
16
16
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
28
8
8
8
8
8
8
39
16
16
2
2
4
4
4
0
16
16
16
16
8
0
8
2
16
16
4
8
8
8
8
16
8
18
0
0
2
8
16
0
16
16
16
8
8
8
8
0
16
0
2
16
16
4
4
4
4
4
4
4
0
0
0
0
0
8
8
32
10
10
8
16
0
8
8
8
0
0
0
4
8
0
0
16
16
0
0
16
32
0
24
24
8
8
32
24
0
0
8
24
24
16
0
0
0
0
0
0
0
0
0
0
4
4
16
16
0
8
8
4
0
0
8
8
8
0
8
8
8
8
8
8
8
22
22
22
22
16
16
0
0
0
16
16
16
16
16
8
1
0
0
0
0
8
24
0
0
0
0
0
2
8
40
40
40
0
0
16
16
16
16
16
0
0
0
8
8
16
0
0
0
0
8
8
8
16
0
9
16
16
8
8
8
8
16
24
4
4
16
16
16
1
1
16
16
16
16
16
16
8
8
0
0
8
8
4
4
26
0
0
0
1
1
1
0
0
16
32
32
32
32
2
2
2
12
8
8
0
0
4
8
8
8
40
16
16
8
8
1
8
8
8
8
8
0
0
8
1
8
8
20
16
0
0
0
0
4
4
4
16
16
0
20
0
4
4
4
4
16
40
40
40
40
40
40
0
0
0
8
8
8
16
8
8
0
0
0
8
8
8
57
57
57
5
8
8
8
0
0
16
16
16
16
0
32
32
0
0
0
0
1
9
8
8
4
4
24
24
24
0
0
0
8
8
8
8
0
0
0
16
4
16
16
16
0
0
0
16
0
0
0
8
16
16
0
0
16
16
16
16
0
0
0
57
0
0
0
0
24
8
4
8
16
8
0
0
0
0
0
0
8
0
0
0
0
32
8
8
8
8
8
16
16
16
16
16
16
4
4
4
16
0
4
4
0
0
0
0
8
8
8
8
8
8
1
1
8
8
8
0
0
0
0
8
8
8
8
0
16
16
16
0
0
0
0
0
0
0
16
16
16
16
0
0
0
4
0
20
0
4
0
1
1
8
0
0
0
19
8
0
2
16
16
16
16
0
8
1
9
1
1
1
1
8
1
24
8
1
2
0
0
0
16
0
4
4
0
0
2
0
8
1
0
16
24
8
2
8
1
0
8
16
0
0
8
8
0
16
16
0
0
0
0
8
8
6
6
56
16
8
0
0
0
16
0
12
4
0
0
0
56
56
8
8
24
8
32
0
16
16
4
0
0
0
0
0
0
0
0
4
4
4
4
1
1
1
1
0
1
1
20
8
8
0
16
16
16
16
16
16
0
0
18
8
0
0
0
0
24
32
32
28
28
16
0
0
0
8
16
16
16
0
0
0
16
16
0
0
8
8
0
0
16
16
8
8
8
4
4
4
4
4
16
16
0
16
5
1
1
0
0
0
8
0
16
0
0
0
8
0
0
0
0
0
8
8
8
25
16
16
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
4
4
4
0
0
16
16
16
4
4
4
8
0
8
8
8
8
8
8
0
0
25
0
16
16
4
5
0
0
0
1
0
32
0
4
4
4
4
4
1
8
16
4
4
4
0
16
12
8
0
1
1
8
8
8
2
2
2
2
8
1
2
1
8
8
8
8
8
0
8
8
0
4
21
21
8
8
0
0
0
0
0
0
0
0
0
0
0
12
0
0
0
0
0
1
16
16
6
6
6
16
16
17
8
0
1
0
0
8
2
0
0
0
4
4
4
16
16
8
0
4
0
2
2
2
0
0
1
1
0
0
0
0
8
1
1
1
1
8
8
0
8
8
8
8
8
8
8
8
0
0
0
0
0
0
27
8
40
16
16
16
8
0
8
8
8
8
8
0
0
0
8
8
1
1
0
8
0
4
4
4
16
16
16
16
16
0
0
0
8
8
8
8
8
16
0
0
0
8
18
0
4
16
16
16
16
24
8
16
16
18
1
9
8
24
8
8
16
8
8
0
0
1
1
1
1
1
1
0
2
0
8
0
1
2
2
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
2
0
4
4
0
0
16
16
0
0
0
0
0
8
11
11
0
0
0
0
8
8
8
8
1
1
1
2
16
8
8
8
8
0
8
0
0
0
8
8
0
0
0
2
8
8
8
18
18
16
16
0
8
8
32
8
8
8
8
17
0
0
0
0
8
8
0
0
20
20
0
8
8
4
4
4
0
16
16
8
28
1
16
8
8
8
2
10
10
8
8
8
8
0
0
16
40
1
16
1
1
0
0
0
16
16
0
2
4
8
8
8
8
0
0
17
17
17
17
17
17
17
17
18
18
8
42
42
42
1
1
1
8
0
18
18
18
0
0
0
8
16
0
0
0
8
10
10
10
2
4
0
0
0
8
56
24
0
8
0
0
0
8
8
8
0
0
8
8
8
8
8
8
0
0
2
0
2
2
0
0
0
0
16
8
8
8
0
0
0
8
16
16
16
16
0
0
16
17
16
8
8
8
8
8
8
8
20
20
20
20
2
2
0
16
8
8
0
8
8
36
36
36
36
36
36
8
1
1
56
40
40
16
16
16
24
8
8
0
0
8
2
2
2
2
16
16
2
0
0
8
8
16
16
8
8
8
8
8
16
28
28
28
0
0
0
0
0
8
0
1
8
0
2
2
16
25
1
16
8
8
2
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
2
2
16
16
16
2
0
0
0
0
4
4
1
32
32
32
32
2
2
2
2
18
0
0
0
0
0
0
0
16
16
16
1
2
0
0
0
1
1
1
16
0
0
0
0
0
0
0
0
0
8
16
16
16
16
16
0
0
0
0
41
0
1
4
8
8
8
8
8
2
2
1
16
16
0
0
0
10
10
16
16
16
16
0
0
10
10
1
0
1
1
4
4
4
4
4
16
0
0
0
0
0
0
0
8
8
16
8
8
8
8
2
4
0
0
8
8
0
8
16
0
0
16
8
0
0
0
24
20
0
8
12
12
0
1
1
16
8
8
8
8
8
12
8
8
16
0
0
0
0
16
8
8
48
25
25
4
4
4
0
2
16
8
16
16
16
0
0
0
0
0
36
41
41
41
32
8
8
8
8
2
2
2
16
16
0
0
0
2
0
0
0
0
0
33
33
1
0
0
0
0
8
0
8
1
8
8
8
8
8
12
12
12
12
12
12
8
1
2
4
0
0
4
2
2
0
0
0
8
8
16
0
16
16
16
0
8
16
0
0
16
9
9
9
0
16
10
16
4
8
0
0
4
0
18
8
24
24
24
16
16
16
16
16
8
48
32
16
16
24
24
4
4
4
4
24
8
8
8
0
0
0
0
16
4
4
4
0
0
16
8
8
0
0
8
8
16
16
16
0
0
0
0
0
0
0
0
0
32
0
0
24
0
0
0
0
0
0
0
16
8
8
16
16
40
0
8
0
24
8
8
8
1
0
1
1
1
1
2
2
8
8
1
1
1
8
1
1
8
0
18
16
0
0
0
0
0
0
48
1
1
1
1
1
8
0
0
0
16
0
0
0
0
0
17
17
1
4
24
4
4
4
4
8
8
8
8
8
8
8
16
0
0
0
0
2
2
32
32
32
16
8
8
16
8
8
6
0
0
24
24
24
1
1
1
18
18
16
0
0
0
0
0
24
0
9
8
1
8
8
8
8
8
0
0
0
16
0
0
0
16
8
0
16
1
8
4
16
1
1
1
1
1
24
0
0
0
16
0
32
10
8
8
8
8
63
1
1
16
4
16
16
16
16
8
16
16
1
0
0
0
0
8
8
8
17
17
0
0
1
1
1
1
0
0
8
0
16
16
16
16
0
16
16
16
16
0
0
0
0
4
2
0
1
13
2
16
16
16
4
1
0
0
26
24
0
1
1
0
0
0
0
2
2
0
0
0
0
0
0
0
0
0
4
0
0
16
8
16
16
16
0
0
0
0
0
0
11
11
0
0
0
0
0
0
35
0
0
0
0
0
0
0
0
8
8
8
8
0
0
0
0
0
0
32
16
16
0
0
17
17
0
18
32
32
32
8
8
2
2
2
8
0
0
16
4
4
4
4
4
4
4
1
1
0
8
2
16
2
2
2
2
2
2
2
2
2
0
8
16
16
8
24
24
24
24
24
24
0
1
0
8
8
8
0
0
8
8
0
0
0
0
0
8
8
8
4
16
0
18
17
16
16
0
0
2
2
2
0
8
16
0
0
16
0
0
0
0
32
1
1
12
8
32
0
8
0
0
28
24
24
20
20
20
24
24
0
0
8
0
0
0
4
12
20
20
20
16
16
16
16
16
1
1
0
0
0
0
0
8
24
0
0
0
0
0
16
16
16
16
16
0
8
8
8
8
4
0
0
2
2
0
1
0
0
0
0
8
16
16
0
8
8
8
20
20
24
16
16
0
4
8
16
16
0
0
0
0
0
0
0
2
26
16
1
1
1
2
0
0
8
8
8
0
9
9
9
8
0
32
0
8
1
4
4
4
4
4
1
1
0
16
16
5
5
5
5
32
32
32
8
8
8
0
8
8
8
8
0
8
8
0
0
0
0
4
4
32
0
1
1
1
1
0
16
16
16
0
32
32
4
0
1
1
0
5
5
8
0
8
16
16
16
16
16
16
8
8
8
8
8
0
1
16
16
8
16
16
8
1
0
0
8
16
16
0
2
4
16
16
16
16
16
8
8
8
0
2
40
40
24
0
16
0
0
32
20
0
0
4
4
4
4
4
4
0
0
0
0
8
8
8
8
8
16
0
8
8
8
8
4
1
1
17
1
1
1
1
2
0
0
0
0
0
0
16
0
0
24
8
0
4
8
8
8
24
8
8
8
16
16
20
16
16
32
8
0
0
0
0
0
8
8
8
3
0
0
0
0
16
0
0
0
17
17
17
16
16
0
0
0
8
16
0
0
0
0
0
0
0
0
0
0
8
8
8
16
24
24
16
16
0
16
16
16
0
0
0
0
0
0
0
8
48
48
1
16
16
2
1
25
25
16
4
4
4
20
9
9
9
9
16
16
8
8
8
1
4
4
4
4
8
8
0
0
0
0
0
16
0
4
4
4
8
8
8
0
0
0
16
18
18
5
5
2
0
16
16
16
16
16
0
0
0
0
2
2
0
8
1
0
0
8
8
8
8
2
2
2
21
8
8
8
16
16
8
1
16
16
16
16
0
8
8
9
8
8
16
16
10
10
10
10
10
10
0
0
0
0
16
16
8
4
0
16
24
16
16
16
0
16
16
8
0
0
0
2
2
2
0
1
8
8
8
16
16
16
16
16
17
4
4
4
24
16
1
1
1
1
0
8
8
0
0
0
4
4
4
0
0
1
1
0
0
16
16
26
26
26
26
24
24
24
0
0
9
9
4
4
4
16
16
8
8
8
8
8
0
0
32
0
0
3
3
2
16
16
0
2
0
0
0
0
24
16
16
2
2
16
16
16
8
8
4
4
4
4
4
8
8
1
0
16
16
16
16
0
0
0
0
17
8
8
8
32
18
18
18
17
16
16
8
8
16
16
0
8
0
0
0
0
0
0
0
18
8
0
8
8
1
1
16
0
8
8
8
16
0
8
8
8
8
8
8
8
8
8
0
0
0
2
8
16
16
16
16
16
8
0
16
16
8
16
4
2
2
18
16
16
0
0
3
3
3
8
8
0
0
0
0
0
0
5
4
8
8
8
16
16
24
0
8
0
0
16
8
8
0
0
0
0
16
0
0
16
0
0
0
0
0
0
1
0
0
0
0
0
8
16
0
0
0
0
1
1
1
0
8
10
8
0
0
8
8
0
0
0
0
16
16
16
16
32
32
32
8
8
0
0
0
16
32
24
24
6
6
8
0
16
8
1
8
16
8
0
0
16
16
16
10
16
8
0
0
8
0
0
32
32
32
32
0
0
0
0
0
0
0
42
8
4
4
4
1
8
8
8
8
0
2
8
23
4
0
0
16
16
4
4
16
0
0
0
16
16
16
2
0
0
0
0
0
16
16
16
4
0
8
0
8
8
0
8
8
0
4
4
0
8
8
8
0
0
16
8
8
2
0
8
8
0
0
4
4
16
8
8
8
4
8
8
8
8
16
16
16
0
0
0
0
8
8
0
0
16
32
16
16
8
8
8
0
0
32
32
0
0
0
0
0
0
0
4
4
4
2
2
0
0
0
0
0
8
8
8
8
0
0
0
1
4
1
0
0
4
0
0
0
0
0
0
0
16
8
0
24
24
24
24
8
16
16
16
16
0
0
0
0
0
8
0
1
1
16
0
0
8
8
8
8
8
8
8
0
8
0
56
0
32
32
0
0
0
0
0
1
14
14
14
0
24
24
24
4
0
1
1
1
1
0
24
24
16
16
8
0
0
8
8
8
4
4
4
4
0
0
8
1
0
8
16
16
8
4
4
4
0
1
1
1
0
0
40
0
0
24
24
0
8
0
52
4
0
0
16
16
16
16
0
0
2
0
0
1
1
16
16
8
8
16
16
16
16
16
8
8
8
8
1
1
1
0
0
0
0
0
2
0
0
8
8
4
0
0
0
16
16
16
0
16
0
8
8
8
8
8
8
8
25
16
1
0
8
8
8
0
0
16
16
16
16
0
4
2
16
0
8
8
8
8
8
8
8
16
4
2
2
4
4
4
8
26
2
16
16
8
2
2
16
16
16
0
4
0
8
8
16
0
0
14
0
0
4
28
37
0
16
16
0
0
0
8
8
0
0
0
0
1
1
8
8
8
20
4
4
4
4
8
8
32
4
4
16
16
16
0
1
8
8
16
16
0
0
0
0
0
0
8
8
0
0
0
8
8
8
1
0
8
2
0
0
0
0
32
0
0
16
0
16
16
8
1
8
8
0
1
1
20
20
20
20
16
16
0
0
0
4
4
4
4
4
8
1
8
8
8
8
8
0
5
16
16
17
16
8
8
1
1
1
1
24
24
12
1
1
0
16
16
0
0
0
16
16
2
16
16
16
4
8
8
8
0
0
0
0
17
8
1
1
8
8
8
1
16
16
16
4
8
8
8
8
8
4
4
0
8
8
8
8
0
0
0
0
0
1
0
0
32
32
8
8
8
16
15
3
0
16
16
16
0
8
2
0
0
0
0
4
4
4
25
25
25
25
25
8
8
2
0
2
2
2
8
8
32
32
32
32
32
32
0
0
4
0
0
0
0
0
24
0
0
0
0
0
16
16
0
16
0
32
0
0
8
8
8
8
0
0
0
12
8
8
32
0
0
8
8
8
1
1
1
8
24
1
16
1
1
1
0
0
1
1
1
8
8
16
16
16
48
1
1
0
40
0
0
0
2
0
40
40
16
0
2
50
0
1
8
8
14
14
14
8
8
0
0
0
8
8
8
0
0
0
8
8
8
0
1
1
1
8
8
8
0
0
8
8
8
0
0
0
44
8
8
8
8
0
16
16
4
4
4
0
9
0
24
24
24
24
16
16
16
16
16
8
16
16
0
0
0
8
8
8
8
8
0
0
0
0
0
0
0
16
16
16
4
4
4
0
16
4
0
24
0
0
0
0
0
0
4
4
8
22
16
16
16
16
1
4
16
8
20
16
16
5
5
0
16
8
4
8
8
16
0
0
8
8
8
8
0
0
32
8
0
0
0
9
12
12
13
13
12
12
2
1
1
8
0
1
1
1
1
1
1
1
1
1
1
16
16
16
8
8
0
0
4
0
0
0
8
4
1
8
16
16
16
16
4
0
16
0
16
0
9
9
16
8
8
8
0
0
10
10
10
10
10
0
8
0
0
2
30
16
8
8
8
8
0
0
0
13
13
24
0
16
0
16
0
0
0
0
0
0
8
8
0
16
2
16
1
2
2
2
8
8
0
0
0
16
1
0
0
0
0
8
8
8
8
8
0
0
0
0
0
0
0
0
8
0
2
2
2
2
2
16
0
0
4
8
17
36
4
4
4
1
8
8
16
16
16
16
24
24
2
1
1
8
8
0
32
32
8
8
16
16
16
16
8
0
0
1
1
33
0
8
8
8
8
8
1
1
1
8
8
2
16
8
8
2
2
0
1
1
1
8
4
4
8
16
16
8
0
0
16
24
24
24
24
24
0
16
2
0
0
1
1
16
0
16
16
28
8
8
8
8
8
8
8
8
41
1
8
0
0
0
0
8
32
32
11
8
1
1
0
16
8
16
16
16
16
4
4
8
0
8
2
24
4
8
8
9
16
0
0
24
8
0
2
18
18
0
0
0
0
16
0
0
0
16
16
0
0
16
0
8
8
8
8
2
2
0
10
0
0
20
1
8
16
0
0
0
8
8
8
8
8
8
0
4
0
0
16
16
8
16
16
8
0
1
1
1
1
1
1
8
16
0
0
0
0
0
8
8
0
0
0
8
8
8
8
8
8
2
32
0
16
9
8
24
24
24
2
2
2
13
13
13
13
13
13
13
13
9
16
16
4
4
4
4
4
2
2
1
1
0
0
16
16
16
0
8
0
0
0
0
0
32
32
32
16
16
16
16
16
16
0
6
8
8
8
0
0
1
1
8
1
16
0
16
0
0
8
0
0
28
0
0
0
8
8
4
4
8
0
0
8
8
0
0
0
2
20
24
0
0
8
8
8
24
4
8
2
2
0
1
1
10
0
0
0
0
16
16
16
16
16
16
16
0
0
8
8
0
0
8
8
4
8
8
12
1
1
1
0
16
4
16
16
16
16
16
16
16
0
0
25
25
0
0
0
30
2
2
16
8
8
32
16
16
8
20
20
1
16
8
8
8
8
8
16
16
8
16
0
8
8
8
33
33
8
8
8
8
8
1
0
0
0
0
8
16
16
16
16
8
0
0
0
0
2
8
8
8
0
8
0
1
0
0
0
0
8
0
0
0
0
0
0
16
16
4
0
0
2
16
16
16
8
8
32
32
8
0
0
0
1
1
4
16
16
0
0
0
0
8
8
8
8
8
8
8
16
2
2
0
0
0
0
8
8
0
0
8
0
8
8
0
8
48
0
16
0
8
8
1
1
1
1
0
0
0
0
0
20
20
20
20
20
20
20
20
20
20
16
16
5
5
4
4
2
0
0
0
0
0
1
8
8
8
10
8
8
1
1
16
3
1
1
1
0
0
8
8
20
20
20
0
12
0
16
16
8
8
24
56
56
0
0
0
0
0
0
0
0
0
8
8
0
0
16
16
16
0
32
32
16
1
8
0
0
0
0
0
16
16
16
16
16
0
8
0
0
0
0
0
8
0
4
4
0
16
16
16
16
16
8
8
8
8
8
8
8
8
8
24
24
24
24
24
0
0
0
16
12
12
1
16
16
16
0
0
8
8
0
0
0
0
0
32
33
16
0
0
0
1
4
0
0
27
27
4
0
31
0
1
1
28
8
0
0
0
0
0
8
16
8
0
0
3
0
1
1
16
5
8
8
16
20
20
10
10
10
24
0
0
0
0
0
16
16
1
4
0
1
48
2
6
2
2
2
2
2
16
0
0
8
2
2
2
2
2
2
2
8
0
16
0
4
2
2
2
2
8
8
16
16
16
16
16
8
8
8
1
1
1
1
1
32
32
32
32
32
32
32
32
32
4
4
4
0
16
16
16
0
0
0
0
0
50
0
8
0
1
1
16
0
0
0
0
0
0
8
16
8
0
8
1
28
0
0
0
4
0
1
0
0
0
0
0
6
6
6
6
6
6
24
8
0
0
2
21
0
0
0
0
0
0
0
1
0
8
0
0
16
9
0
0
6
2
8
8
17
22
16
8
16
0
6
6
2
0
8
8
8
8
0
8
8
1
16
0
16
16
2
8
0
0
0
0
0
0
0
20
1
20
1
1
8
16
0
16
0
0
0
0
0
0
0
4
0
0
21
21
21
28
1
8
9
9
9
9
0
0
12
12
12
16
16
8
0
0
0
0
8
16
16
16
0
0
8
16
16
16
16
0
3
3
0
10
2
16
16
2
16
16
0
0
0
0
14
0
16
16
8
4
0
0
8
0
8
0
0
0
2
0
0
0
8
0
0
16
8
8
8
0
40
40
24
8
8
8
8
0
0
0
0
16
8
8
8
8
0
0
24
18
18
0
0
0
16
16
8
8
0
8
8
8
8
16
1
8
0
0
16
0
8
16
16
16
0
8
8
8
1
16
16
16
16
0
4
4
0
0
16
8
0
0
16
4
4
0
16
16
16
0
4
8
0
16
1
4
16
0
8
8
8
8
16
16
1
1
1
0
0
0
0
16
0
8
8
32
0
21
21
21
2
4
0
0
2
2
2
5
0
9
0
2
2
2
0
0
16
8
8
16
16
16
0
16
0
8
0
16
8
8
8
8
1
1
1
1
8
2
2
2
2
2
8
8
0
0
0
0
24
26
8
8
8
0
0
0
0
0
16
16
16
0
16
19
19
1
0
0
8
8
16
1
1
1
1
1
6
16
0
8
8
2
2
2
0
0
4
4
8
8
16
0
0
16
0
0
0
26
26
0
0
0
0
0
0
0
0
16
16
0
2
2
8
4
4
4
16
16
16
16
0
24
24
24
24
2
2
2
0
0
8
0
0
0
0
8
25
25
25
25
0
0
8
8
2
4
0
0
0
0
0
4
4
4
8
18
0
0
0
16
2
4
4
24
1
8
25
25
25
8
16
16
1
8
0
0
8
0
8
8
8
0
0
0
0
0
8
8
16
0
8
0
0
0
0
0
32
0
16
16
16
16
8
8
8
33
0
24
0
0
0
1
0
0
8
16
34
20
20
20
20
20
2
2
2
2
10
8
8
8
0
32
32
24
1
1
0
0
0
0
16
0
17
2
2
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
8
8
8
8
0
16
16
0
0
4
0
0
0
8
8
0
8
8
12
4
20
4
4
4
4
8
8
8
0
0
16
8
0
8
0
0
0
0
8
0
0
20
16
20
8
8
8
8
9
0
0
16
16
16
12
0
0
2
4
16
0
8
16
16
16
8
0
16
16
16
0
0
4
4
4
8
0
32
8
0
0
20
0
0
1
1
8
8
8
8
8
0
0
0
8
8
8
8
8
0
0
0
16
8
8
8
4
25
25
25
4
17
0
0
4
4
4
4
0
16
16
8
0
0
0
16
16
16
16
20
8
8
8
8
8
8
0
8
0
4
4
0
8
16
16
16
0
8
16
24
24
4
4
4
4
0
0
8
57
0
8
0
8
0
1
1
1
1
8
8
8
8
8
8
32
32
8
8
32
16
0
8
8
0
0
1
16
16
8
0
0
2
2
2
0
0
0
0
8
8
0
0
0
1
0
8
0
0
8
8
0
16
16
0
0
16
16
16
16
16
16
0
0
0
4
8
8
8
0
0
48
8
16
2
2
2
0
0
0
25
25
25
16
16
8
0
16
0
24
0
1
17
8
8
8
8
20
20
2
2
2
2
3
16
16
16
16
16
16
16
16
16
16
0
8
0
48
48
0
0
0
0
8
10
10
8
8
8
8
8
0
0
8
8
0
0
0
0
4
8
0
0
16
8
8
8
8
8
0
0
0
1
32
32
0
8
32
0
0
8
0
8
8
17
17
17
17
8
8
4
4
24
28
28
2
1
9
1
1
0
0
0
0
4
0
8
0
8
32
17
0
44
0
0
0
0
0
16
1
8
8
8
4
4
4
4
4
4
2
32
32
32
32
32
0
28
28
28
0
0
16
16
0
1
1
8
8
0
0
53
53
53
53
16
16
0
0
8
0
16
16
2
8
4
0
0
0
0
0
0
0
0
0
0
0
2
16
16
16
24
8
0
0
24
0
0
0
0
8
8
8
8
8
8
8
8
16
16
8
8
17
1
16
16
16
16
16
24
0
0
1
1
1
8
2
2
2
2
2
1
0
0
0
2
8
8
8
0
8
8
8
0
0
32
0
0
16
4
26
0
0
8
20
22
6
1
8
8
8
8
8
8
16
16
4
16
16
16
16
16
16
16
16
16
4
0
0
16
0
0
4
0
0
1
1
40
40
40
40
40
1
2
2
2
2
2
8
4
16
16
16
16
16
0
4
8
0
0
0
0
16
16
16
16
0
16
16
16
16
8
20
20
1
0
20
12
1
16
16
16
16
8
0
0
0
16
0
0
0
16
16
0
16
16
1
1
1
1
0
0
0
4
56
56
56
56
56
56
56
4
4
8
8
2
0
8
16
0
40
8
4
0
0
0
16
2
2
2
2
2
4
4
20
20
20
4
4
4
57
8
8
8
8
32
24
0
0
16
4
4
0
0
0
0
0
16
16
16
16
16
16
8
8
0
0
0
0
0
24
0
24
0
0
16
16
16
16
1
1
1
0
0
8
8
8
0
16
8
8
2
0
16
1
1
0
0
0
0
0
0
16
16
16
16
0
8
0
0
0
0
0
0
0
32
0
0
1
8
0
0
0
1
16
8
0
0
4
8
8
26
4
4
4
4
24
0
16
16
0
0
36
8
0
0
0
32
16
16
0
0
0
0
8
8
8
8
16
8
0
0
8
16
32
32
8
8
8
4
0
0
16
8
8
8
16
8
1
1
0
0
13
13
1
16
16
8
0
0
0
0
0
8
12
16
8
51
16
16
0
0
0
0
0
0
16
8
0
0
0
0
12
4
16
4
16
16
16
16
16
0
0
0
24
24
8
8
0
8
8
16
16
16
24
24
24
0
0
0
0
18
2
2
2
0
0
8
16
16
16
16
16
16
16
0
0
0
32
32
32
32
16
16
16
16
16
8
8
8
0
8
8
8
8
8
8
0
0
0
0
0
0
1
1
16
16
1
8
2
2
1
1
1
8
16
8
24
0
16
0
8
8
0
0
0
0
0
15
0
0
9
16
16
8
8
8
0
8
0
8
0
2
0
0
8
4
8
8
8
0
1
0
0
4
4
0
0
24
16
16
0
0
4
16
16
8
0
16
12
8
8
16
16
12
12
8
8
16
16
8
8
8
8
8
22
22
22
16
16
16
8
8
8
0
0
0
16
0
0
40
8
8
8
0
0
16
8
8
0
16
2
4
0
0
16
0
18
18
18
4
4
16
16
32
8
0
4
0
2
0
1
1
0
10
10
8
8
8
0
16
8
8
41
41
8
16
0
16
0
8
0
0
16
16
13
0
16
16
16
16
16
45
0
0
16
4
4
4
0
0
2
8
0
0
0
16
16
0
8
8
8
8
8
8
0
16
8
0
0
0
0
16
16
16
16
0
0
0
0
8
8
8
8
4
4
0
0
0
8
8
32
32
0
0
8
8
16
16
16
16
16
8
8
8
8
16
16
16
8
8
8
8
1
2
2
16
8
4
0
8
8
8
0
0
16
16
16
0
0
0
0
0
0
0
0
16
0
0
1
1
0
0
5
5
0
4
0
24
10
16
4
8
0
24
0
0
0
16
16
16
16
0
0
16
0
0
8
8
8
2
2
8
8
8
8
0
32
32
16
8
8
0
16
0
10
8
8
8
0
0
0
0
0
32
16
2
0
0
0
16
16
4
0
0
8
8
0
0
0
16
2
8
0
0
0
0
0
24
8
8
8
8
0
16
0
0
0
0
0
0
8
0
1
0
0
8
0
0
8
8
8
16
48
48
20
8
8
8
24
20
0
0
0
0
0
0
0
0
0
16
16
8
16
4
8
8
8
4
0
0
16
16
0
8
16
16
16
4
16
16
0
0
8
8
8
8
0
0
0
0
0
16
16
16
0
0
0
0
2
8
17
17
8
8
16
16
0
40
8
8
0
1
1
1
8
8
8
8
8
4
1
1
0
0
0
16
8
8
12
16
16
8
8
8
8
8
25
4
8
1
0
0
8
8
8
6
8
8
8
0
4
4
4
0
1
1
8
4
0
24
16
16
16
8
0
0
0
0
16
16
16
0
8
1
8
8
57
18
25
16
8
8
8
16
0
0
40
40
40
40
40
40
40
40
40
1
1
1
1
18
18
40
40
8
32
16
16
16
16
0
0
0
0
8
4
8
33
33
0
0
0
0
0
0
8
4
2
2
8
8
8
1
0
4
0
0
1
0
0
0
8
16
32
16
0
1
1
16
16
0
0
0
0
0
0
16
8
17
1
8
0
8
8
16
16
0
0
0
0
8
9
6
6
0
1
0
0
0
22
48
48
48
48
48
32
1
0
4
32
24
0
8
8
8
8
0
32
32
32
1
1
2
2
2
16
8
8
8
8
8
24
16
16
0
0
0
0
0
0
0
0
0
1
0
1
0
0
4
16
0
0
0
0
0
0
0
4
56
8
16
16
4
4
4
4
2
2
0
8
8
46
46
46
46
16
16
0
0
0
0
0
0
1
1
0
0
0
18
16
16
0
0
0
0
1
8
0
0
0
0
0
1
1
1
0
4
0
16
0
0
0
0
0
8
8
8
8
8
8
8
8
0
0
0
0
0
1
0
8
4
0
0
25
8
8
16
16
0
0
8
4
4
4
4
4
4
4
4
32
32
17
5
5
5
5
0
0
0
0
0
0
8
8
4
16
0
0
0
0
0
0
0
0
0
0
8
1
0
16
40
24
8
8
9
24
4
0
1
0
0
8
8
2
10
8
12
0
8
0
0
0
0
0
4
0
0
0
0
0
0
0
8
8
8
8
16
8
0
1
0
8
8
8
0
0
0
0
0
24
7
0
8
8
8
16
1
0
8
4
8
8
0
24
0
8
8
8
4
0
24
0
0
0
0
16
16
1
16
16
16
0
0
0
0
0
0
57
2
2
0
0
4
34
34
34
0
0
8
16
16
16
0
0
16
16
16
16
16
16
16
0
8
0
0
2
8
0
0
0
0
0
0
0
16
4
4
4
1
1
1
0
0
8
8
32
0
8
16
16
16
0
0
32
32
8
8
16
8
24
16
28
28
16
16
16
16
16
16
16
0
0
5
4
8
8
8
32
0
0
0
0
8
8
8
8
4
0
0
0
0
0
0
0
0
0
1
32
16
32
32
32
8
8
0
0
0
8
8
4
8
9
1
16
0
0
8
8
0
16
0
4
4
4
0
0
0
0
0
0
32
32
20
20
8
8
8
8
8
2
8
8
8
16
16
16
16
16
16
16
16
16
16
2
2
19
18
18
0
0
16
16
16
22
0
0
20
20
20
20
16
16
8
0
16
10
10
8
8
16
16
0
20
16
16
16
0
0
24
8
8
36
36
36
56
56
0
2
2
1
1
0
4
4
4
0
8
0
0
8
8
8
8
8
9
9
9
9
0
0
8
8
2
2
2
8
16
5
8
8
3
0
8
0
0
0
0
22
16
16
16
16
16
0
0
8
8
16
16
16
16
1
16
16
16
0
0
0
0
0
0
0
1
0
8
8
8
8
8
2
8
8
48
48
26
8
8
8
4
0
16
16
0
0
2
0
0
8
16
16
0
0
8
8
0
0
0
8
20
24
24
16
1
16
0
0
0
0
0
0
4
16
16
0
12
12
8
0
0
16
16
0
4
8
4
16
16
16
16
16
16
16
16
8
1
2
21
21
0
0
0
2
2
8
1
32
0
2
2
55
18
18
0
0
8
4
0
0
0
0
8
0
0
1
0
0
0
0
0
1
4
16
0
4
4
4
4
4
8
0
8
0
0
0
0
0
0
16
8
8
8
8
8
28
16
8
0
8
0
0
0
16
16
16
8
8
20
1
0
0
8
8
16
1
1
1
1
4
4
1
8
8
0
17
17
24
24
24
1
1
16
0
0
0
0
16
16
16
16
16
4
17
17
4
0
0
1
8
8
8
8
0
0
0
16
4
0
6
17
17
15
15
15
0
4
4
2
2
2
8
16
0
0
12
0
8
4
0
0
1
1
1
1
8
2
18
24
24
0
0
1
1
1
10
8
8
1
1
4
8
32
32
0
8
8
8
0
0
0
2
16
8
8
16
16
12
12
12
12
10
0
8
8
16
16
4
4
4
4
4
4
4
2
10
16
16
16
0
16
4
4
0
0
0
0
0
0
0
0
0
48
48
48
0
0
0
1
1
8
41
48
32
32
32
32
0
0
16
0
8
8
8
0
0
1
17
1
1
1
1
0
8
0
0
0
1
1
8
56
0
24
2
32
32
4
8
4
16
16
0
0
0
1
1
8
8
0
0
0
16
2
2
12
1
1
0
0
8
8
8
8
16
16
0
0
0
8
16
32
0
4
32
32
0
0
8
8
8
8
8
8
0
0
0
0
16
0
16
16
8
8
8
8
2
2
2
17
0
1
1
8
8
8
4
24
25
8
4
8
8
0
8
0
0
16
16
16
0
0
8
8
8
4
4
8
0
0
0
32
0
0
0
0
8
8
8
8
0
0
0
1
0
8
8
8
32
44
44
12
4
32
32
8
0
0
2
8
0
0
0
1
0
0
0
0
4
2
2
4
1
16
16
16
8
32
16
16
2
0
0
0
16
8
8
8
0
0
8
2
1
0
0
8
8
8
0
0
16
25
25
16
16
16
16
0
20
1
8
8
0
0
16
16
16
16
4
4
4
4
4
4
0
8
16
16
16
16
16
32
4
4
16
0
0
0
32
0
0
16
8
8
0
4
8
2
0
0
8
8
8
8
8
8
17
1
0
0
0
8
8
8
0
0
1
4
1
1
1
1
8
8
8
8
8
0
0
16
16
2
8
0
1
24
24
8
8
4
1
1
1
12
12
12
12
12
12
12
0
8
8
8
16
16
16
1
1
1
16
16
0
0
0
0
8
8
16
16
0
16
16
16
8
8
8
0
0
0
16
16
16
8
1
1
16
16
16
4
4
4
8
8
0
0
0
16
4
24
24
8
8
8
8
8
8
4
0
1
18
0
0
0
1
1
1
16
0
0
8
8
0
4
4
8
30
0
0
0
0
0
0
2
2
2
2
2
4
2
16
16
16
16
16
8
0
0
0
0
8
16
8
16
16
16
16
8
8
8
8
8
16
16
0
0
4
8
32
33
4
16
16
16
17
17
0
16
8
8
0
0
0
0
0
49
16
16
16
16
8
8
8
8
0
0
0
8
8
8
0
0
0
8
8
16
0
4
4
20
20
16
16
8
8
8
0
8
40
32
4
4
2
16
16
0
0
0
0
0
0
0
0
0
16
16
16
16
0
0
0
32
32
0
0
1
0
0
0
0
16
1
0
0
0
0
2
2
1
1
0
1
1
16
16
16
0
0
8
8
32
0
0
8
0
9
32
16
16
0
0
0
2
2
8
8
8
16
16
16
16
1
32
32
32
32
32
0
16
16
0
0
0
0
16
0
4
4
4
16
16
16
16
16
0
16
8
0
10
10
0
8
8
0
0
0
0
0
0
0
16
16
0
2
16
16
0
0
0
0
8
4
2
2
2
2
8
0
16
40
40
0
4
0
0
0
8
8
8
8
8
0
0
0
1
0
51
2
8
32
0
0
0
12
20
4
0
2
16
0
0
0
0
8
8
7
5
5
0
53
53
0
0
0
0
0
0
1
1
1
16
20
20
20
0
1
1
1
8
16
16
16
16
16
16
8
8
4
4
1
1
1
1
0
0
10
0
8
16
8
8
8
16
1
2
24
16
16
16
16
8
8
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
8
8
8
0
0
16
16
16
16
33
33
8
24
8
8
8
0
0
0
8
8
0
0
0
0
8
8
8
0
0
0
1
8
8
0
28
16
28
0
0
1
1
1
1
0
12
12
12
0
0
0
8
1
8
2
2
33
52
8
8
8
8
8
16
16
0
0
24
16
16
0
0
0
24
24
24
24
0
0
10
10
0
8
8
0
0
0
1
1
0
0
0
0
0
8
0
1
0
0
1
1
2
2
2
8
4
4
8
8
8
21
21
2
2
2
0
0
8
8
8
0
0
0
8
8
8
8
8
8
8
8
8
8
8
32
25
8
0
28
10
10
0
4
4
0
8
8
8
8
1
0
24
0
0
0
0
4
4
4
8
4
4
0
0
0
8
8
0
8
8
8
0
8
0
0
0
0
0
0
1
16
16
0
0
4
0
0
0
16
16
0
0
0
0
0
16
16
2
2
1
1
1
0
0
16
16
0
0
20
20
20
8
0
0
0
45
8
45
0
8
8
18
3
0
0
0
0
4
0
0
0
0
0
8
0
1
8
16
16
16
2
1
1
1
0
0
0
8
8
0
16
16
16
33
8
8
16
16
0
8
8
16
16
16
16
16
16
8
8
8
0
4
0
0
8
8
16
16
20
0
16
16
0
10
0
0
0
8
8
0
8
8
8
0
0
0
0
0
8
2
2
2
2
2
1
8
4
4
0
0
0
2
32
32
0
8
16
8
8
0
0
16
16
16
16
16
16
16
16
16
16
16
8
32
32
16
16
8
16
16
16
4
0
0
0
2
2
0
8
8
18
18
8
40
40
0
0
0
0
0
0
0
16
16
16
2
0
0
0
8
8
4
0
0
0
0
8
0
16
16
16
0
4
4
9
8
8
16
0
1
0
0
32
32
5
18
8
0
32
32
32
0
9
4
2
8
16
20
20
20
0
16
0
1
1
9
9
9
0
0
9
0
7
32
32
8
20
8
8
8
0
0
0
0
0
8
0
0
24
24
24
24
4
1
1
16
16
16
16
16
16
16
16
16
16
16
0
24
0
8
8
8
0
1
1
0
16
1
8
2
2
21
16
0
0
0
0
0
0
48
48
1
8
8
8
8
8
8
16
16
16
16
16
16
16
16
0
16
16
16
0
0
16
16
16
2
17
17
17
17
17
8
0
8
0
16
16
16
8
8
8
32
32
32
32
11
16
16
16
16
8
24
0
0
1
1
1
1
0
0
0
0
0
1
16
16
16
16
0
8
8
8
8
8
8
8
8
4
32
18
2
1
25
24
16
16
0
0
8
0
8
16
0
16
16
16
16
25
48
32
8
16
8
16
16
16
8
8
0
0
16
16
16
0
0
0
0
16
4
0
16
8
8
8
8
8
0
8
8
1
0
0
0
0
0
0
0
0
1
1
0
8
8
8
8
8
8
24
24
8
8
8
4
8
49
32
8
4
4
4
4
4
6
6
6
6
6
6
6
2
24
24
24
0
0
8
0
1
1
1
4
4
4
4
0
0
16
32
32
0
0
0
0
0
0
0
0
16
16
16
8
8
0
2
2
2
2
2
0
0
0
0
0
0
0
8
16
0
0
0
8
2
4
4
4
8
16
16
0
0
0
0
8
8
8
0
0
0
0
8
8
56
0
0
0
4
4
4
4
4
0
5
8
0
0
0
0
8
28
8
8
6
2
2
0
1
1
0
0
0
0
0
9
9
8
0
0
0
16
16
16
16
16
8
2
8
8
10
10
1
1
44
8
24
8
1
0
0
18
0
0
0
1
0
8
16
16
4
4
4
4
4
16
16
16
0
0
0
0
16
16
20
0
16
16
16
0
0
16
2
2
24
24
4
0
16
0
16
32
1
8
8
8
2
16
16
16
8
0
0
0
8
1
8
4
4
4
3
1
1
0
4
4
0
0
8
8
8
0
16
16
2
2
2
2
2
24
16
16
16
16
2
2
2
16
8
28
28
4
4
4
8
0
0
0
0
2
20
16
16
16
16
16
4
4
4
4
0
1
0
1
1
16
0
0
0
0
0
8
8
8
8
8
0
0
8
8
1
0
13
0
0
0
8
8
1
0
0
0
0
0
0
24
24
8
4
4
4
4
1
0
0
0
0
9
8
0
24
0
0
16
16
0
8
8
8
8
4
0
8
8
8
8
8
32
32
8
8
8
8
8
4
0
0
0
56
8
8
8
8
8
16
16
16
2
2
2
8
8
8
8
0
1
16
8
16
8
16
12
8
9
9
9
9
4
0
0
0
0
4
16
16
16
16
16
16
16
0
8
16
0
0
0
0
16
16
16
16
8
0
0
0
0
16
4
8
0
0
2
2
24
16
0
0
16
16
8
8
8
8
0
1
1
1
2
2
19
0
0
0
0
0
0
0
0
17
2
0
0
2
2
10
10
0
0
0
0
0
1
1
24
1
1
16
8
8
0
8
26
26
0
42
16
8
8
0
0
0
0
0
0
2
2
10
2
2
8
8
0
0
8
8
1
1
1
1
16
57
57
57
16
1
4
4
0
0
0
10
16
33
2
8
1
1
1
4
4
4
1
16
16
2
2
2
2
2
16
16
0
0
0
0
17
17
0
0
24
4
0
8
0
8
8
16
2
0
0
0
0
0
0
0
0
0
0
2
4
1
16
4
4
60
0
8
16
16
0
29
29
0
0
8
2
0
0
0
0
2
2
0
9
8
0
16
16
16
16
16
16
0
0
0
20
0
0
9
8
8
8
8
8
8
8
16
0
0
0
0
0
0
16
16
16
16
16
16
16
16
16
1
1
1
1
1
0
8
16
0
0
0
8
8
8
1
1
8
4
0
8
24
12
8
8
8
16
16
16
16
8
5
32
32
32
32
16
0
0
16
0
0
0
0
4
16
25
8
16
16
16
0
32
32
8
8
8
16
16
16
16
16
0
0
0
18
18
18
18
18
18
16
0
40
6
6
6
6
0
8
0
0
0
0
0
2
4
4
4
0
0
0
0
0
4
4
0
0
8
8
1
16
0
0
0
0
12
0
0
0
8
6
6
1
0
0
0
0
0
0
0
0
8
0
8
16
16
1
1
0
16
4
17
17
17
17
17
17
8
8
16
1
1
1
1
1
1
3
2
2
2
2
16
8
0
0
16
0
0
0
0
16
4
0
0
8
8
8
8
0
0
4
0
8
0
0
0
0
0
0
16
16
16
8
8
1
5
5
8
29
25
25
8
8
8
32
32
32
32
0
0
0
0
42
24
16
16
0
8
8
8
0
0
16
16
16
1
1
0
0
16
16
0
0
8
16
0
0
0
0
8
40
40
40
0
0
0
0
28
16
8
0
0
0
0
22
0
12
0
8
0
12
8
40
40
40
32
1
16
16
0
8
16
4
0
0
0
2
2
8
16
16
16
40
8
24
8
8
20
16
20
0
0
0
16
0
8
8
8
8
16
8
0
0
1
2
32
0
0
0
16
1
0
2
8
0
16
0
0
16
8
8
2
0
0
0
0
8
32
0
0
0
8
8
8
8
8
8
8
8
0
0
8
24
24
10
10
10
0
0
8
0
0
16
0
8
8
0
1
1
1
1
28
36
8
20
4
4
0
0
0
16
16
0
0
0
0
16
0
0
0
0
0
12
8
0
0
8
8
0
8
32
32
4
0
0
10
10
8
8
8
8
8
8
16
8
0
16
16
16
16
33
0
0
0
0
2
2
24
0
0
0
16
16
16
16
0
24
4
4
4
4
0
0
48
16
20
20
24
8
8
8
8
8
8
20
4
4
4
16
16
16
0
0
20
20
16
8
0
8
8
8
8
8
0
0
16
16
0
8
8
8
48
4
0
16
16
0
0
16
16
4
0
8
8
8
8
8
21
0
8
0
17
17
0
8
16
32
32
8
1
1
26
16
16
16
16
1
0
16
1
1
8
16
32
16
16
0
0
0
0
8
0
2
2
2
4
4
4
4
0
0
8
32
32
16
4
1
1
8
8
16
16
0
0
8
8
0
0
0
3
3
3
3
0
8
8
8
0
0
0
25
25
25
25
25
16
2
2
8
8
8
0
0
16
16
16
5
0
0
0
0
0
10
2
2
2
8
0
0
4
4
4
4
16
0
0
0
0
0
0
18
0
0
0
8
8
17
17
17
17
24
8
4
1
1
1
8
0
16
9
8
0
8
1
1
16
4
4
4
0
0
0
0
8
8
8
32
0
4
4
12
12
8
20
20
8
8
0
8
16
16
16
16
16
0
8
0
32
0
0
0
0
0
0
0
16
16
16
3
8
8
8
4
4
0
0
8
0
0
0
0
8
0
0
0
0
0
0
24
12
12
12
12
29
7
0
0
0
0
24
24
0
16
16
16
16
0
32
32
32
16
4
2
8
0
0
0
0
0
16
0
0
0
0
8
0
0
0
8
12
12
12
5
5
17
16
2
2
2
2
2
4
4
4
4
0
0
40
8
56
4
4
4
4
4
4
24
0
4
8
24
16
16
0
0
0
2
2
1
1
0
4
4
4
16
16
0
0
0
0
0
0
0
8
16
1
1
1
0
0
8
8
20
20
8
0
0
0
8
8
8
8
8
8
8
8
16
4
0
0
32
0
16
4
4
8
8
8
8
16
16
16
4
4
24
16
16
16
1
8
8
0
0
1
4
16
16
32
32
0
0
16
16
16
0
0
0
0
8
8
8
8
8
0
1
1
16
0
0
0
0
0
0
0
0
0
0
16
16
16
16
16
16
0
0
0
16
16
16
16
24
24
8
17
17
16
16
16
4
4
4
4
16
0
16
24
24
0
0
0
0
8
0
0
16
16
0
0
32
32
8
5
0
16
0
0
0
32
0
0
0
4
4
0
0
0
0
0
16
8
2
0
0
0
0
8
2
2
2
2
2
3
3
8
0
0
0
1
4
4
1
4
4
1
1
1
61
9
4
0
0
2
16
0
0
8
8
8
2
2
2
2
16
8
3
1
16
16
32
32
8
8
8
8
0
4
4
4
2
4
4
0
0
0
8
0
0
0
4
4
4
4
4
0
14
16
0
16
0
0
0
1
1
1
0
0
8
16
16
8
8
16
16
16
16
16
10
16
8
8
8
8
0
8
8
8
8
0
0
0
0
0
8
12
12
0
1
24
12
8
8
24
16
16
16
0
36
4
16
1
0
0
8
8
8
16
16
8
8
24
24
24
24
24
0
0
2
2
2
2
2
0
0
32
32
32
0
8
4
1
16
0
0
0
0
8
0
0
0
40
40
40
40
40
8
8
8
8
8
2
8
0
0
0
16
0
20
0
0
4
4
16
8
16
16
16
4
4
0
8
16
16
16
16
16
16
16
0
0
0
8
0
0
0
0
0
16
8
8
8
8
2
0
0
0
16
16
8
0
24
24
32
0
1
16
16
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
16
16
1
2
0
0
0
0
0
0
0
0
0
0
17
1
1
0
8
8
0
0
24
0
0
16
16
16
16
16
32
0
0
0
0
0
0
0
0
0
0
0
8
8
8
16
1
1
0
8
8
8
8
8
8
2
2
8
0
0
0
0
0
0
0
0
0
16
16
16
24
0
1
25
0
0
16
16
0
6
0
0
8
8
16
29
8
8
1
0
8
8
8
8
12
8
0
0
0
16
0
0
8
8
8
8
32
32
32
32
32
3
3
3
3
3
16
0
16
16
16
16
0
0
0
16
8
8
0
16
16
16
0
1
1
4
0
2
8
0
0
0
0
8
8
0
0
8
8
16
16
0
1
1
1
0
0
0
0
0
0
0
8
8
9
2
2
8
8
0
0
0
1
0
0
0
16
8
8
16
3
8
8
16
16
16
16
16
0
8
8
4
4
1
1
0
0
8
8
8
8
8
8
8
8
0
8
2
8
8
8
8
8
8
8
8
4
2
16
29
29
29
4
16
16
0
0
32
32
32
32
32
8
4
1
1
0
35
4
0
2
16
0
0
8
8
0
1
8
0
8
8
8
0
8
0
8
8
0
8
8
8
8
16
16
16
16
16
1
1
1
1
8
8
8
0
0
8
0
8
8
8
8
4
16
16
0
0
0
0
0
16
0
16
16
1
8
2
2
2
0
1
1
1
16
16
32
32
8
8
0
4
8
8
8
8
16
16
48
1
8
2
2
0
0
4
16
16
20
8
0
0
16
40
40
0
0
0
0
16
0
0
0
0
0
0
16
16
16
16
0
4
4
0
0
0
0
2
2
8
9
4
4
8
0
8
0
8
16
28
28
28
10
0
0
0
20
16
16
16
0
0
0
8
0
0
4
4
1
1
2
16
16
8
0
0
28
8
0
0
0
0
8
8
16
16
16
16
0
0
1
1
1
4
4
8
8
8
16
8
16
0
16
49
49
49
0
0
8
8
8
17
0
0
0
0
4
0
0
26
26
16
16
12
12
2
2
4
28
0
1
1
0
16
0
0
0
0
4
2
2
2
56
0
0
28
8
8
0
0
8
8
4
4
4
2
2
2
2
2
24
16
0
8
16
0
16
0
0
0
0
48
48
16
16
4
0
16
32
8
0
32
0
24
0
0
0
1
1
8
0
0
8
8
8
8
8
8
8
8
8
0
0
0
16
8
4
0
8
8
8
8
9
0
0
0
0
0
0
0
0
0
0
8
16
16
8
8
8
8
8
0
0
8
8
16
16
4
4
0
8
8
54
4
8
4
4
16
16
16
16
16
0
0
0
0
0
8
8
16
0
8
8
8
0
0
16
32
16
16
16
0
8
0
0
20
16
8
9
24
0
24
24
24
24
0
8
8
32
8
8
0
0
8
8
0
16
30
4
0
8
4
5
1
1
1
0
4
0
0
0
0
16
16
16
0
0
0
1
49
49
0
0
0
0
0
0
16
0
8
8
16
0
0
0
4
16
16
1
1
0
0
3
8
8
8
2
2
2
0
0
0
32
9
9
9
0
8
8
0
0
16
16
16
16
16
0
16
16
16
16
0
16
8
0
0
0
0
1
1
0
20
0
0
0
0
24
24
24
0
0
16
16
0
0
0
1
0
0
0
0
1
16
8
16
16
9
8
16
0
0
0
0
24
24
7
8
16
2
2
4
4
16
0
8
8
12
2
1
0
0
16
0
0
8
8
0
1
1
24
24
0
0
8
0
0
0
0
8
8
8
8
8
12
16
8
8
8
0
0
0
0
0
8
0
0
8
8
8
8
43
0
0
40
40
8
8
8
3
3
0
1
1
1
0
0
0
8
8
8
25
24
1
2
0
8
8
9
18
18
18
18
16
16
24
0
0
0
16
16
18
16
32
32
0
16
16
16
16
8
8
8
8
8
20
0
0
0
32
8
16
4
4
4
24
20
20
0
0
0
32
0
0
1
0
0
0
0
0
0
8
16
8
8
8
8
8
16
12
12
8
8
8
0
0
24
4
8
1
0
0
18
16
16
16
0
0
0
0
0
0
0
0
16
0
16
8
8
8
8
8
8
0
1
16
0
16
0
0
0
1
1
0
32
32
10
0
9
8
8
16
16
16
8
8
8
2
2
2
2
8
8
2
2
0
12
8
8
8
25
8
8
8
8
8
1
1
1
8
8
1
1
1
1
1
1
1
1
1
1
1
8
8
0
0
0
0
0
8
8
8
8
8
24
1
0
2
2
2
0
0
0
4
4
4
8
8
0
16
16
16
16
8
8
8
16
16
16
16
16
16
16
16
16
4
8
8
8
16
16
0
0
8
8
4
13
8
8
8
32
16
16
16
8
8
8
1
0
0
0
4
4
0
8
8
8
8
24
8
16
12
24
24
0
0
4
4
0
0
8
8
16
8
0
1
0
24
0
8
8
8
32
0
0
0
0
0
16
16
0
8
8
0
1
2
2
0
0
8
8
8
8
8
8
0
16
16
16
0
0
8
4
16
0
0
0
0
0
16
16
16
16
0
1
1
1
0
0
16
16
16
0
0
8
8
8
16
0
8
8
0
0
4
0
0
16
16
0
4
0
16
8
16
16
0
0
0
0
0
8
8
0
8
35
3
7
3
1
1
1
1
1
8
16
17
16
16
16
8
8
2
2
4
26
26
4
4
4
0
8
8
8
8
8
32
32
32
32
32
0
2
2
2
8
16
16
16
16
4
4
32
48
2
0
16
16
16
2
2
16
16
0
0
16
16
16
8
8
0
0
0
0
16
0
1
1
0
16
16
16
16
16
16
28
0
0
0
0
2
2
2
2
4
4
0
0
0
0
24
8
8
8
0
0
0
0
16
2
2
2
2
0
0
0
1
0
0
8
8
8
8
0
0
6
6
6
0
16
1
1
1
1
8
24
24
17
17
12
16
16
0
0
0
0
2
8
0
8
8
32
0
8
8
10
10
0
0
0
8
8
32
32
32
32
16
0
24
0
0
0
0
0
0
24
24
0
0
0
60
0
16
16
1
1
8
8
18
16
16
16
16
2
2
16
24
24
24
24
8
8
16
16
4
4
16
16
8
8
48
0
8
16
8
8
8
4
8
8
8
2
2
0
0
8
8
8
32
1
0
0
0
0
0
0
16
16
16
0
0
0
0
0
0
1
0
0
0
0
0
0
0
4
4
4
2
8
8
0
0
0
0
16
12
4
4
4
4
4
4
16
16
24
24
24
8
8
16
16
16
16
16
0
0
16
16
0
0
1
12
0
0
0
4
8
8
8
4
1
8
8
8
8
4
4
0
0
0
8
16
0
0
0
0
16
8
8
8
0
32
16
16
0
32
32
32
16
16
0
16
16
16
32
0
0
0
4
8
17
17
17
17
17
8
0
0
0
0
0
8
8
8
0
8
32
32
36
36
4
16
16
14
14
4
0
1
1
0
0
0
16
0
16
0
16
16
8
9
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
18
18
0
0
0
0
8
8
4
4
8
4
4
4
4
4
0
0
16
16
16
8
8
0
16
16
10
0
8
0
0
8
8
1
16
16
1
26
26
0
0
0
8
17
0
8
8
8
32
0
0
8
8
8
8
8
8
8
8
8
8
8
8
0
16
10
8
8
8
20
0
26
16
16
16
16
0
8
8
8
0
0
32
32
8
0
0
16
16
16
0
0
1
8
6
6
6
6
6
6
8
0
0
0
0
0
0
0
0
4
4
8
8
2
2
2
8
8
8
8
16
16
8
8
16
16
8
8
0
0
0
0
16
0
0
0
0
0
0
0
0
0
32
32
0
16
1
8
8
16
16
16
0
0
16
16
2
0
0
8
8
8
8
16
0
0
0
16
0
0
0
0
16
16
12
2
24
24
0
16
16
16
8
8
16
19
19
1
16
0
4
0
16
0
0
0
0
0
8
8
2
32
32
1
1
0
32
8
0
4
0
0
1
1
1
0
0
0
8
2
2
2
8
8
16
2
2
0
0
40
0
14
1
1
1
1
1
1
4
32
0
0
8
16
16
16
0
16
4
4
4
4
16
16
32
20
8
2
4
2
2
2
16
16
16
16
0
32
0
2
9
9
0
16
16
1
1
0
0
0
25
16
16
8
0
0
0
8
8
8
8
8
0
0
0
0
0
0
0
0
0
24
16
0
2
2
16
0
0
0
0
0
0
0
0
0
0
16
16
16
48
2
32
32
16
0
2
16
16
1
1
0
20
0
4
4
8
8
8
8
8
8
0
0
0
0
16
0
1
1
1
0
0
0
0
0
0
0
8
8
8
8
32
32
8
8
40
3
3
3
2
0
0
16
4
4
4
4
4
16
0
4
4
8
8
8
0
8
17
17
17
17
16
16
16
0
0
0
16
16
32
16
16
16
16
16
8
16
4
4
0
0
2
0
0
0
0
0
8
17
8
8
16
16
0
16
0
16
33
8
8
48
8
0
12
12
16
16
16
16
4
4
8
0
8
8
24
24
0
32
32
8
8
8
8
16
16
16
0
0
8
8
8
16
16
16
0
0
16
2
2
8
0
0
0
16
8
8
0
0
33
33
8
1
1
0
0
0
1
16
0
16
16
16
16
1
16
16
24
24
24
4
4
8
8
8
8
48
48
0
0
0
0
0
0
8
0
16
16
2
0
0
4
0
0
8
0
16
16
8
8
0
0
0
0
8
16
8
0
8
0
8
33
0
16
16
0
0
8
8
16
16
16
16
0
0
0
0
0
8
8
8
4
24
1
8
42
42
32
16
16
16
16
16
0
1
8
8
8
8
4
2
4
4
4
8
0
0
0
0
24
24
32
8
4
16
16
0
0
16
24
24
0
0
0
16
0
0
0
0
0
0
0
0
4
0
0
0
0
8
2
2
1
0
8
8
8
8
8
0
0
0
8
8
16
8
16
0
16
16
16
18
4
4
16
16
16
8
12
12
12
12
12
12
12
8
16
16
16
16
8
8
0
0
0
16
16
0
0
0
16
8
8
8
8
8
16
0
0
0
0
12
8
8
12
8
0
0
0
0
0
0
0
0
18
0
1
2
2
0
0
0
0
16
16
0
0
0
0
0
1
16
16
16
33
33
4
4
0
0
16
16
29
29
16
8
24
8
16
0
0
8
8
2
24
0
8
16
8
8
8
8
2
2
8
2
18
16
2
16
16
16
1
1
1
1
8
8
0
0
0
0
0
8
0
0
0
16
0
0
16
2
2
0
0
0
0
0
0
0
8
16
16
16
0
32
16
16
16
0
0
0
0
1
0
0
1
0
4
4
4
4
4
4
0
40
0
0
8
8
0
0
0
0
0
9
8
2
2
2
0
0
0
0
24
24
24
24
0
0
0
0
0
0
2
2
9
8
0
32
0
8
8
8
0
2
2
2
24
16
8
8
24
0
16
0
0
0
0
0
0
0
8
8
8
8
8
8
14
14
14
14
14
14
4
8
8
8
1
1
1
2
1
1
1
16
24
0
1
1
1
1
1
1
1
24
24
24
8
4
4
4
16
16
16
16
0
2
2
2
2
2
8
0
8
0
0
0
0
0
0
0
0
0
0
0
16
8
8
0
16
8
8
8
16
0
0
0
0
34
0
0
0
8
0
0
8
8
8
8
2
16
16
16
16
16
0
0
0
0
0
0
40
40
40
40
32
0
8
8
8
0
0
24
20
20
4
4
8
16
0
0
16
16
16
8
8
8
0
0
0
0
0
16
4
4
4
16
16
16
16
16
16
8
0
16
0
0
0
0
0
0
0
0
16
16
1
0
0
0
0
8
0
0
16
16
16
16
16
8
16
16
8
16
16
8
0
2
2
16
8
8
8
8
8
0
0
61
24
10
8
8
8
8
1
1
4
4
4
4
4
4
4
2
8
8
8
1
0
1
1
0
0
0
0
8
16
8
0
0
0
0
2
2
0
0
8
8
8
4
16
16
0
0
0
16
16
16
16
5
5
0
8
8
8
0
0
0
0
0
0
0
0
16
16
16
16
8
8
16
16
32
32
4
4
8
8
8
8
8
8
16
16
2
2
0
0
0
0
9
0
0
0
0
2
2
0
24
16
16
8
8
8
2
8
22
28
58
0
0
8
8
8
0
0
0
0
0
0
12
0
0
17
0
0
16
1
1
1
1
16
4
8
16
16
16
24
24
24
24
24
0
8
2
27
10
16
10
12
4
0
0
0
0
8
8
8
8
8
20
8
8
8
0
0
0
0
0
0
0
8
4
16
8
8
8
8
8
8
8
8
0
0
4
4
0
0
0
2
16
0
0
0
0
25
25
25
16
0
0
0
0
8
8
0
16
16
0
8
8
0
0
0
0
0
0
0
8
4
21
21
21
4
8
8
14
14
0
0
1
4
8
16
16
16
16
0
0
0
0
16
8
8
0
16
16
12
0
0
0
0
0
0
0
0
8
0
4
1
1
1
2
8
8
0
0
0
1
16
16
16
4
9
0
0
0
8
0
0
0
0
8
0
0
2
2
8
32
8
0
8
2
16
16
16
16
0
0
0
4
4
8
0
0
0
16
0
16
16
0
0
0
0
0
0
8
8
24
0
8
8
8
8
8
0
8
17
2
2
0
0
8
8
8
8
8
8
2
17
8
17
0
0
8
8
8
8
12
24
24
24
0
8
16
16
16
8
16
16
32
8
0
0
16
8
8
8
8
8
32
16
0
16
4
0
0
0
1
0
0
0
24
24
8
26
0
4
21
8
8
8
0
0
8
16
0
8
8
2
0
0
16
16
16
16
28
0
0
0
0
16
16
8
0
0
0
2
4
0
0
0
0
16
16
16
0
4
4
0
0
0
0
0
16
0
20
20
20
12
56
0
0
0
0
4
4
0
48
0
0
0
8
8
8
0
1
1
1
1
1
0
0
0
0
8
2
0
8
8
8
8
8
0
16
2
0
0
0
2
2
2
2
2
16
16
16
16
16
16
16
0
0
0
0
0
0
0
2
4
4
8
0
0
0
0
0
24
16
24
0
0
7
7
7
7
7
16
16
20
20
16
1
1
1
1
4
4
0
0
0
0
32
2
0
0
0
32
0
32
0
0
0
8
16
16
8
8
0
16
16
4
4
2
16
32
32
32
0
0
0
8
8
8
8
0
16
16
0
0
0
0
0
0
4
0
0
16
16
0
0
0
2
16
8
8
8
8
0
0
0
0
16
0
0
0
0
0
0
24
24
0
0
0
0
8
0
1
1
8
8
0
0
8
0
0
16
9
0
0
8
0
16
16
16
16
16
16
8
8
8
8
8
16
16
0
0
0
4
1
9
8
8
24
4
0
9
0
0
0
8
8
0
17
0
0
0
0
0
0
8
16
16
2
0
8
4
4
8
8
0
0
1
16
0
16
0
16
0
16
16
16
8
16
16
0
2
0
16
16
16
0
0
8
8
8
0
0
0
0
16
1
0
0
8
4
32
32
16
16
16
24
8
0
0
4
0
18
18
0
0
3
0
16
16
16
8
16
16
16
16
8
8
8
0
32
32
0
1
1
1
0
0
8
19
19
19
0
0
0
0
0
0
0
0
0
16
16
17
12
12
12
16
16
16
0
16
16
16
16
16
8
4
4
0
0
0
0
0
0
16
16
16
32
0
0
0
0
2
2
0
0
8
1
1
16
0
16
8
24
1
1
1
1
0
2
2
2
2
0
0
0
24
24
16
0
0
24
8
16
16
16
16
0
0
0
0
0
8
16
0
0
0
0
0
16
16
8
18
32
32
32
5
5
8
8
8
8
16
0
8
0
16
29
29
29
16
16
16
0
0
0
0
1
0
1
0
0
0
49
16
4
8
16
16
8
0
0
0
32
32
32
0
0
8
8
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
10
4
0
16
8
8
8
8
8
8
8
8
8
16
8
0
16
16
16
8
2
0
0
0
0
0
0
0
8
8
0
0
4
4
8
8
8
0
0
0
0
8
8
8
8
0
0
20
8
8
0
0
0
0
24
1
1
1
1
8
8
8
0
0
0
0
24
0
8
8
8
8
8
0
0
16
8
8
8
8
8
0
0
1
1
1
1
1
1
4
16
8
16
0
12
8
8
8
8
8
0
8
0
16
8
8
8
8
8
0
0
24
0
0
8
8
8
8
0
0
22
16
2
0
4
0
8
16
16
16
16
16
9
0
0
0
8
16
16
16
16
1
1
1
1
0
0
48
48
0
0
0
8
0
1
1
1
8
8
0
0
0
4
8
0
0
0
0
20
20
0
16
16
16
16
16
16
0
0
0
2
2
2
8
8
0
1
1
16
24
0
16
16
2
1
1
0
0
16
16
0
8
8
0
0
0
8
8
8
8
8
8
32
32
8
8
8
8
8
16
16
16
16
0
8
24
8
48
0
0
0
0
0
0
0
57
57
8
8
2
0
0
0
1
8
8
0
0
0
2
2
2
2
16
16
16
16
16
0
0
0
0
0
0
8
0
17
16
16
1
1
0
0
0
0
0
0
0
0
0
0
0
18
0
24
8
0
0
0
0
0
0
0
0
1
21
0
2
16
8
16
0
0
0
8
0
0
0
9
39
0
6
6
8
8
8
0
8
8
16
8
16
8
48
32
16
1
1
8
8
8
8
0
8
16
8
8
8
8
8
8
8
0
0
0
0
0
0
0
8
8
8
8
2
2
2
2
8
16
0
0
16
16
8
8
0
24
0
16
8
0
0
0
0
0
8
16
16
8
8
8
10
8
8
8
16
0
17
8
0
16
16
0
0
0
8
40
0
0
8
8
8
8
8
8
8
8
8
8
8
2
2
16
16
16
0
8
8
2
4
4
0
4
8
8
8
0
0
0
33
2
0
0
8
32
32
32
0
0
0
16
8
8
8
8
1
8
4
0
8
8
8
8
0
12
12
12
8
8
8
1
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
0
0
16
0
8
0
0
0
0
0
8
8
8
8
17
16
0
16
16
16
2
0
24
24
24
24
0
16
0
4
8
0
0
1
1
16
2
0
0
16
0
0
0
16
6
0
0
1
1
0
0
0
8
8
8
8
8
2
2
2
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
16
16
16
16
16
16
16
32
2
2
0
0
16
16
16
0
8
4
4
4
0
0
16
0
8
16
16
8
51
51
50
0
0
8
0
16
8
8
16
16
8
0
16
0
24
24
8
8
0
16
16
16
16
8
8
8
34
34
34
8
32
32
32
1
1
16
16
8
1
4
0
24
0
32
0
0
0
0
0
0
4
9
0
0
4
0
0
8
16
56
56
26
26
0
24
16
16
16
2
2
8
8
16
16
16
12
20
20
12
16
1
0
0
0
0
0
0
0
8
8
8
0
48
48
4
0
0
16
16
16
28
0
8
16
0
0
24
24
24
24
24
8
21
1
1
32
8
8
1
9
0
0
0
8
8
16
8
8
0
0
1
20
20
16
16
16
2
0
0
0
12
16
0
0
8
48
48
8
8
0
0
8
8
8
8
8
8
16
16
0
2
2
0
16
16
16
16
16
16
0
0
0
0
0
8
8
8
8
8
8
8
8
8
0
32
32
32
0
0
32
8
16
16
4
29
20
24
8
3
8
8
32
32
32
0
16
16
16
16
0
0
0
20
20
24
8
8
16
0
0
0
0
8
10
10
10
16
0
4
4
4
16
16
0
0
0
0
0
0
0
0
4
16
16
0
8
0
0
0
16
0
0
0
0
0
0
0
1
16
8
4
4
4
0
0
0
0
0
8
16
16
4
0
2
8
8
8
8
0
0
24
16
17
16
16
16
16
0
3
0
8
8
8
8
8
8
0
1
1
1
1
1
16
8
4
4
16
16
16
0
0
0
0
2
0
8
8
0
8
8
0
8
8
8
8
12
0
32
6
8
16
16
48
1
1
24
28
28
28
4
4
0
0
0
0
1
1
16
4
0
0
28
8
8
8
0
18
0
16
16
2
2
0
8
8
8
0
8
8
16
0
8
8
8
0
4
0
0
2
56
56
56
56
1
1
1
8
8
20
0
8
4
4
4
30
2
2
16
16
16
8
8
8
0
0
0
0
16
8
8
0
16
0
0
0
32
2
2
2
1
1
16
16
16
16
8
1
12
12
1
1
3
8
8
8
8
0
0
1
0
8
8
57
16
16
8
4
0
16
8
8
0
4
4
2
2
1
1
1
1
32
32
32
8
17
16
16
16
0
0
0
0
8
0
8
8
8
20
0
0
16
8
0
1
1
1
16
16
16
16
8
8
8
0
0
16
0
0
32
32
20
0
0
0
8
0
16
16
16
24
24
24
16
16
8
16
16
8
0
0
0
16
16
16
24
0
0
0
4
16
0
8
4
4
4
4
4
6
6
1
1
1
0
50
0
0
0
56
10
22
0
16
16
16
0
0
8
0
1
1
1
8
0
0
0
8
8
4
4
4
8
0
16
16
16
33
8
0
16
24
0
8
16
16
2
1
8
8
18
16
16
16
8
18
18
18
18
1
8
8
8
0
0
0
0
0
0
0
12
21
8
32
32
32
32
0
0
0
0
0
0
25
16
0
8
2
2
0
0
2
2
2
2
2
16
16
16
40
24
24
16
0
0
0
0
8
8
8
2
0
0
0
4
8
0
0
16
4
4
4
4
4
4
4
4
4
4
1
1
0
0
0
1
8
8
8
8
8
4
16
8
0
0
0
0
0
0
1
1
0
0
0
0
9
9
17
8
8
8
16
16
0
0
1
0
16
8
0
0
0
1
16
24
24
24
24
24
24
24
24
24
24
24
24
24
24
24
24
24
24
24
24
10
2
0
0
16
16
16
16
16
0
0
0
8
1
1
8
8
8
0
0
33
0
0
8
0
0
0
57
57
0
24
0
0
32
32
1
32
16
8
8
0
0
0
8
4
33
16
0
8
0
0
24
24
0
16
16
16
16
1
1
0
8
0
0
0
2
2
8
0
0
20
20
20
20
20
20
20
8
1
57
1
1
1
8
8
8
4
4
4
4
0
0
16
16
16
16
16
16
0
0
0
0
0
0
16
24
24
0
16
4
4
4
6
0
8
4
16
16
8
8
16
9
9
9
16
16
16
16
16
8
32
0
0
0
0
4
4
4
4
24
24
4
4
16
8
8
0
4
4
4
4
8
8
28
27
27
27
27
8
17
17
17
17
17
17
8
0
16
16
16
2
2
16
16
16
16
48
1
0
0
0
0
0
0
16
1
8
8
8
18
18
0
16
12
12
8
2
2
4
16
16
16
16
2
0
16
0
0
1
1
0
0
0
0
0
0
0
24
32
0
32
16
5
0
0
0
16
32
0
0
4
4
16
8
16
16
4
4
4
4
0
8
16
16
8
4
8
8
1
1
0
0
16
16
0
0
0
4
4
4
4
4
4
2
2
8
8
8
0
9
9
9
32
32
0
0
0
0
2
2
2
8
8
8
8
8
1
8
0
8
8
16
16
32
32
32
20
0
0
0
0
0
1
1
2
8
0
0
8
8
8
4
0
8
8
0
0
0
8
8
2
8
8
8
8
0
2
2
24
16
8
16
0
0
0
8
0
0
0
0
8
1
12
16
16
16
2
4
5
5
0
48
0
4
21
4
4
4
0
0
0
0
0
0
9
16
16
16
16
16
0
8
0
0
0
0
0
8
16
16
4
16
0
0
0
0
0
20
1
0
0
0
0
16
0
16
16
16
16
16
1
0
0
16
8
0
0
0
0
8
1
16
16
0
2
32
32
32
9
9
9
9
9
0
16
32
16
0
8
4
32
32
0
32
24
24
1
1
26
16
16
0
0
0
0
0
0
0
19
19
8
36
2
2
2
16
8
8
0
0
0
16
16
16
56
0
0
8
16
16
1
1
0
0
0
0
0
0
0
0
16
16
16
16
1
8
8
24
24
24
24
16
8
1
1
1
3
20
0
0
2
2
4
3
3
8
0
8
8
16
1
1
1
1
1
8
8
16
16
16
8
0
16
16
0
16
16
16
16
0
8
8
16
16
16
16
16
0
0
0
0
0
0
0
18
8
8
8
24
24
0
0
1
1
16
0
0
17
24
1
8
0
0
0
9
8
16
16
16
16
5
32
0
16
12
16
16
1
8
8
8
16
16
16
16
16
8
0
8
4
4
4
0
0
0
0
0
4
4
0
0
8
8
8
1
0
0
0
1
17
12
12
1
4
8
8
8
8
8
16
8
0
0
12
12
12
12
16
0
22
4
4
4
4
4
4
4
16
0
8
8
8
16
8
0
16
16
16
16
0
16
16
16
16
0
0
10
10
0
0
16
1
0
0
0
28
19
16
8
8
0
0
16
4
6
6
6
2
2
4
4
4
4
4
0
8
0
0
8
8
0
0
0
0
13
1
1
0
0
0
16
16
0
0
0
0
0
8
8
16
8
8
8
2
1
9
0
0
8
8
8
8
8
8
0
16
0
16
16
0
0
0
0
16
1
1
1
4
8
0
8
4
16
16
16
8
8
8
8
8
1
8
8
0
0
0
0
2
54
2
16
4
4
4
4
4
4
4
4
4
4
4
4
4
16
16
16
16
16
16
0
1
8
0
57
0
0
1
32
32
0
16
16
16
16
8
57
24
24
24
24
0
16
2
2
2
4
8
8
17
17
0
16
32
1
0
0
0
0
1
1
1
1
1
16
0
0
17
16
16
8
0
0
0
16
24
32
24
16
8
0
0
16
16
8
39
0
0
0
4
8
8
24
4
1
0
0
0
17
8
16
0
0
12
0
16
0
6
12
12
12
12
12
12
12
12
8
8
8
8
0
20
20
0
8
16
0
0
0
0
8
8
8
8
1
1
16
16
16
16
16
16
16
16
16
16
32
32
32
16
16
4
10
0
8
0
0
0
0
0
0
0
0
1
1
8
8
8
16
1
0
0
4
4
12
0
0
0
8
8
8
4
4
4
4
4
32
0
0
0
0
0
0
0
4
0
0
0
0
8
8
8
8
8
8
8
8
0
8
8
8
8
8
16
16
16
1
8
0
0
0
20
20
20
20
20
20
16
1
10
10
10
10
8
20
4
4
8
8
1
16
1
8
8
0
32
32
58
24
24
8
8
8
26
8
0
0
8
0
0
20
17
16
8
4
18
32
32
2
8
0
8
0
8
8
8
8
16
16
1
8
8
0
0
0
16
0
0
0
8
8
33
0
1
0
0
8
0
16
48
0
8
8
8
8
8
8
0
0
0
0
0
16
16
0
8
8
0
8
8
2
2
2
2
2
2
2
2
2
2
8
18
18
18
8
8
0
8
8
1
1
8
16
16
1
1
0
0
0
8
1
0
8
8
0
0
2
8
0
17
32
0
0
32
0
0
0
16
2
8
24
0
4
4
8
8
8
8
8
8
8
0
16
0
0
0
0
0
2
2
16
16
16
16
16
16
16
4
4
0
0
4
4
0
2
8
16
1
1
16
4
8
8
8
0
0
0
0
0
0
16
16
50
2
0
16
0
0
4
4
4
0
8
8
8
16
0
8
8
24
16
16
0
8
8
16
16
17
1
0
0
0
0
32
32
2
24
1
8
0
0
0
0
0
0
0
44
44
4
4
0
0
0
24
24
16
16
8
0
0
0
0
18
0
0
8
8
8
24
24
0
0
0
0
0
0
0
0
0
4
4
40
40
8
0
0
2
0
0
0
16
16
20
20
20
20
20
0
0
0
16
16
18
0
0
0
17
16
16
32
32
4
8
16
16
16
16
16
8
8
8
8
41
20
20
20
32
4
4
2
8
8
4
16
4
4
4
4
8
8
8
8
0
0
3
8
12
0
1
1
8
8
1
1
16
16
16
16
16
16
16
24
8
8
8
0
0
0
4
4
4
1
0
0
0
32
16
16
8
8
0
17
1
16
16
12
4
0
8
8
16
16
16
16
8
8
8
4
0
4
4
4
8
8
4
16
48
1
1
0
0
0
8
8
8
16
16
16
16
16
0
8
8
8
0
0
1
1
1
16
16
8
0
4
9
9
1
2
1
2
8
8
0
0
16
8
8
1
0
0
0
0
1
4
4
4
9
9
8
32
0
0
0
0
0
0
16
2
2
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
16
16
16
2
8
32
32
32
0
0
0
0
8
8
8
8
8
16
16
8
8
0
8
8
8
8
8
1
1
1
1
0
8
1
16
32
4
4
4
24
24
0
0
0
8
8
1
1
1
1
0
16
0
0
0
0
16
16
16
16
16
16
16
0
8
8
16
0
0
0
8
0
0
8
8
8
8
8
8
24
8
8
8
0
0
0
16
8
2
2
2
2
2
8
8
12
12
16
16
16
0
0
8
0
0
8
0
16
0
0
0
0
0
0
1
21
1
1
16
0
8
0
0
0
16
16
16
8
0
0
0
0
8
16
8
8
0
16
16
16
16
0
4
4
4
4
4
32
32
32
32
32
16
16
1
32
32
32
0
0
8
0
0
2
16
16
16
0
0
0
0
0
16
29
8
8
8
8
0
0
2
16
8
8
16
16
16
16
16
8
8
1
0
0
8
8
8
8
8
8
8
17
17
0
0
0
8
16
0
0
8
0
16
8
8
8
17
0
0
0
0
8
8
8
8
8
8
8
4
8
8
1
16
0
8
8
0
0
8
0
0
8
0
8
8
4
16
16
16
16
16
16
16
16
0
1
25
2
0
4
2
25
0
32
0
0
0
8
18
16
16
16
16
8
0
16
16
0
0
8
8
0
2
2
0
0
0
0
0
0
4
8
8
0
8
8
16
8
0
0
0
0
0
0
8
16
24
0
0
0
0
16
0
0
0
5
8
0
0
16
16
0
16
2
2
0
0
16
16
16
16
16
0
8
8
8
8
24
0
8
0
0
0
2
2
1
1
0
8
8
8
8
8
0
0
0
0
0
16
16
16
15
31
1
0
0
16
16
16
16
2
8
16
0
0
0
8
0
0
8
24
24
24
24
24
16
16
8
0
0
0
0
0
8
0
16
16
0
0
8
4
0
1
32
0
1
8
0
0
0
0
0
0
8
17
17
16
16
0
0
0
0
0
16
24
8
12
9
9
9
0
0
0
0
41
0
16
0
16
0
0
0
0
8
0
0
8
1
8
8
16
16
8
10
8
0
0
0
5
8
8
8
1
0
0
4
32
0
24
24
0
0
18
2
16
16
16
16
0
0
4
4
4
4
4
4
4
4
32
8
0
12
16
16
8
8
8
8
8
4
4
4
4
4
4
4
4
4
4
0
0
16
24
8
8
8
8
2
1
1
1
32
32
24
8
8
8
0
0
0
0
0
25
0
16
0
0
0
5
4
16
16
16
0
0
0
0
0
1
0
0
16
16
16
16
8
0
8
4
4
4
0
0
0
0
0
0
0
0
0
0
0
1
8
8
8
8
24
2
0
0
0
0
0
0
9
9
8
8
8
0
0
17
17
16
4
8
4
0
8
16
16
32
32
32
16
8
0
25
25
25
6
6
24
24
8
8
8
8
0
8
0
0
0
24
24
24
1
9
9
9
9
16
16
0
0
0
8
8
8
0
0
8
8
8
8
8
8
0
0
8
8
0
0
16
0
0
20
1
32
2
8
8
16
16
0
0
16
16
16
4
20
8
0
0
26
4
0
0
0
32
8
0
2
2
8
8
8
0
0
16
8
16
16
8
8
16
16
16
16
8
0
0
0
0
0
0
16
0
0
1
1
0
8
8
16
16
16
0
0
16
16
4
1
1
0
0
0
0
2
4
8
1
48
0
16
24
24
24
16
16
0
4
0
0
0
8
0
0
2
8
0
0
0
2
12
12
12
2
2
0
0
0
32
32
0
0
0
4
17
0
0
0
0
0
0
0
18
18
32
32
32
32
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
24
24
8
32
32
32
0
0
4
0
0
8
0
0
0
8
8
8
8
8
4
8
4
4
4
0
0
1
0
0
0
0
32
16
16
0
0
24
8
8
0
0
0
0
0
0
8
32
32
0
40
40
0
0
0
0
0
0
16
16
16
16
8
3
3
2
2
2
2
0
0
16
16
2
2
4
4
16
16
16
32
16
9
9
16
0
0
0
0
0
0
48
48
0
4
4
0
49
0
8
12
8
8
0
0
0
0
0
0
0
16
1
24
6
6
0
16
56
56
9
0
0
0
0
8
0
2
2
16
16
16
0
0
16
0
0
0
0
0
0
16
16
16
3
0
0
8
0
8
0
0
0
0
0
0
0
0
16
34
34
8
0
16
16
2
0
0
0
2
4
0
12
4
8
0
0
0
0
0
8
8
0
0
0
16
8
8
8
8
1
8
8
8
8
16
1
1
1
16
24
0
0
0
0
0
0
0
0
0
0
16
0
4
4
0
32
32
32
32
16
24
0
0
16
4
4
1
0
8
8
0
0
16
8
8
8
1
16
16
17
17
17
0
8
8
0
0
0
8
8
1
0
0
0
0
0
0
8
8
8
8
8
0
16
32
16
2
2
24
1
20
20
20
20
20
20
20
0
8
8
0
0
0
4
4
8
8
8
8
8
4
4
4
8
0
0
0
6
6
0
32
32
32
8
8
0
0
0
0
0
0
0
0
0
16
1
16
0
0
0
0
0
0
32
32
12
8
8
8
8
8
24
2
16
8
8
32
24
0
0
0
8
16
16
8
0
32
16
16
16
16
16
16
16
16
16
0
0
2
2
2
2
8
8
2
8
8
0
0
0
0
0
0
16
16
16
0
32
32
32
32
32
32
32
8
0
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
0
0
0
0
16
49
16
8
0
0
16
8
1
1
4
4
4
1
17
1
0
0
0
8
16
16
16
4
9
18
8
2
0
8
8
8
1
1
1
1
1
1
0
0
4
0
4
8
8
8
0
0
0
0
0
8
8
8
8
8
8
0
0
9
9
3
3
32
2
4
4
8
16
16
0
8
0
8
16
16
16
16
8
8
8
8
8
0
0
16
16
16
16
16
16
16
0
0
8
2
9
0
0
16
16
0
0
0
24
24
0
8
8
9
9
9
9
9
32
32
32
1
4
0
0
0
16
4
4
4
4
0
0
16
16
12
16
4
0
0
0
0
0
8
8
8
0
8
9
8
8
27
0
0
8
8
2
0
0
17
0
24
8
8
40
40
8
8
0
16
16
17
1
1
1
8
0
16
16
0
0
0
24
4
4
4
1
1
1
8
16
0
4
8
8
1
8
8
8
8
8
16
16
16
2
2
0
32
4
4
4
8
8
8
8
16
16
16
16
16
16
0
32
1
4
4
0
8
0
8
16
16
0
0
2
8
0
0
24
1
1
1
1
1
16
16
0
0
0
24
0
3
18
18
18
18
18
0
0
0
8
8
8
0
16
16
0
0
16
16
8
8
8
8
8
8
8
48
0
0
0
8
12
0
0
0
0
0
16
16
16
4
0
0
0
0
0
16
1
17
17
8
0
0
0
8
2
2
32
32
8
0
8
8
8
8
25
25
25
0
0
0
0
0
0
0
8
8
16
16
4
4
4
4
0
8
32
0
1
1
16
16
2
0
0
0
16
16
16
16
8
2
2
2
2
2
16
8
8
4
4
4
36
0
16
16
16
16
0
0
0
0
16
16
16
16
16
16
16
60
0
8
8
8
8
0
0
2
2
0
0
0
0
17
17
0
2
1
1
16
16
16
16
0
0
16
16
16
16
0
8
8
8
8
0
19
0
4
4
4
4
8
4
4
2
0
0
2
16
16
16
0
0
16
16
1
8
8
8
8
0
0
4
0
16
24
24
24
0
32
0
0
0
0
0
3
3
3
24
32
16
0
0
0
0
32
32
32
32
16
0
8
8
1
0
8
8
32
32
16
8
0
0
24
16
8
6
16
1
1
0
41
41
41
41
0
0
0
0
50
50
4
0
8
32
8
8
8
0
0
8
8
32
2
1
26
0
0
16
16
16
16
16
16
8
8
2
0
0
16
4
0
0
0
0
0
24
0
8
0
0
16
0
4
4
4
32
0
0
0
0
0
0
0
34
16
0
0
0
0
0
0
4
4
16
4
0
0
8
0
0
0
2
0
0
0
0
0
0
0
0
0
0
16
16
8
8
8
0
0
4
4
0
0
0
8
8
8
8
8
8
4
4
4
0
20
16
0
17
17
0
0
8
8
0
0
4
4
0
0
0
16
16
16
0
8
4
4
16
16
16
1
1
1
20
20
2
2
16
16
8
0
0
0
0
2
8
8
8
8
8
8
8
0
0
8
16
16
16
0
0
8
0
8
0
0
0
12
12
12
16
17
0
0
0
0
2
0
8
16
16
16
8
8
8
24
24
0
8
0
0
0
0
0
1
1
1
0
0
1
0
0
1
8
0
16
0
3
8
8
2
16
16
16
16
16
16
16
16
24
8
8
8
0
8
8
24
24
8
8
8
8
0
0
0
0
0
1
1
16
16
16
8
8
8
8
8
8
32
0
0
8
8
41
41
41
32
16
16
32
32
32
16
16
16
0
8
0
8
8
0
0
0
0
0
0
0
4
16
16
16
16
16
16
16
16
16
16
16
16
8
0
0
8
1
1
16
1
1
8
8
8
0
0
0
4
6
16
16
16
16
16
16
16
0
2
2
0
0
0
8
0
0
16
16
49
0
2
2
0
32
32
32
32
32
32
8
1
1
0
0
0
8
8
0
8
8
24
0
8
16
0
8
8
40
40
40
40
40
0
0
0
0
8
0
0
0
0
0
0
32
32
32
32
32
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
4
4
16
16
8
0
16
16
16
16
0
0
0
0
0
1
16
16
16
8
8
0
0
0
0
3
3
3
3
3
3
1
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
21
21
21
21
21
21
21
21
24
8
0
0
8
8
8
16
16
1
4
8
8
8
8
0
8
8
16
16
16
16
16
8
0
16
16
8
8
0
2
2
2
24
24
16
16
16
16
24
16
0
0
0
4
0
1
1
8
8
24
16
8
8
16
16
0
16
16
16
8
8
8
8
8
8
0
8
8
32
32
32
16
36
24
24
24
0
0
8
8
8
8
4
4
4
0
0
1
1
8
8
8
8
0
0
0
0
2
1
0
0
0
32
32
8
8
8
0
0
0
4
0
4
24
4
4
0
56
56
8
24
1
1
4
4
8
8
8
8
2
2
48
1
0
2
8
0
0
0
16
16
16
8
8
1
1
32
32
8
24
4
12
8
8
16
16
16
16
24
24
24
24
24
24
1
1
1
1
1
1
1
16
16
16
16
0
0
16
16
4
4
2
0
2
2
2
0
0
0
0
16
0
16
16
0
4
4
4
16
24
0
0
0
0
0
0
0
1
0
8
24
0
24
0
0
16
0
8
8
8
4
8
2
2
2
0
0
0
0
0
0
0
16
16
16
16
16
16
16
16
16
0
0
0
0
0
16
16
16
16
8
8
4
4
8
16
2
8
8
8
0
0
0
0
18
18
18
18
18
0
0
0
12
24
0
0
0
0
0
0
8
0
0
4
4
16
12
1
0
0
0
0
33
33
1
8
16
16
16
8
8
8
0
24
9
0
0
0
0
0
8
0
24
24
0
0
0
16
16
16
16
16
16
32
0
16
16
48
16
16
16
16
0
0
0
0
2
2
2
2
2
0
0
4
4
0
8
8
8
8
8
8
8
8
16
16
8
0
8
8
16
24
8
1
0
8
20
20
20
20
20
8
8
8
8
16
16
0
8
4
8
8
32
8
16
16
16
16
16
16
0
17
17
17
17
1
0
0
0
0
0
2
4
0
0
8
8
8
0
0
0
1
1
1
1
8
8
8
8
8
8
8
8
0
2
2
16
16
0
0
0
0
8
8
8
2
0
40
40
0
0
0
8
0
0
0
0
0
0
0
0
0
8
32
32
32
0
16
16
1
1
0
5
0
0
0
2
2
2
2
0
0
9
9
1
24
16
4
4
4
0
0
0
32
16
16
16
8
8
0
1
0
0
0
9
4
16
16
0
0
0
0
0
8
8
0
8
9
0
0
0
8
8
8
0
8
8
8
8
0
8
8
0
0
0
0
8
8
8
8
8
56
0
0
0
0
0
32
8
0
8
4
4
4
4
4
4
0
8
8
8
1
16
16
16
16
16
16
16
16
0
9
9
0
20
0
8
16
16
16
0
8
24
24
24
24
8
8
8
8
8
8
17
0
8
8
8
8
0
0
0
16
1
1
1
1
8
8
8
0
0
8
4
4
4
4
4
0
0
0
0
4
4
4
4
0
0
0
16
16
16
16
0
0
26
4
0
1
1
0
8
16
0
16
16
16
16
16
16
16
8
8
8
8
3
3
0
4
16
8
2
32
32
2
0
0
0
8
8
8
8
8
8
0
8
0
0
0
0
8
0
0
16
0
16
8
8
8
8
8
0
0
0
0
8
8
0
0
8
16
16
16
16
16
50
0
8
8
4
0
1
0
8
8
8
8
8
8
16
4
0
0
0
0
8
8
8
2
0
16
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
0
8
0
8
8
16
16
8
8
8
8
0
1
8
32
32
8
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
16
16
16
16
2
2
0
0
1
1
1
1
18
8
8
25
25
25
25
25
25
25
25
25
25
25
0
0
0
0
16
2
0
16
16
16
16
8
8
8
8
0
0
1
1
1
32
32
4
4
24
24
24
24
1
1
4
8
8
16
16
2
2
2
2
16
48
0
8
8
8
8
16
16
16
16
16
16
16
16
49
12
16
16
16
0
16
16
16
0
0
8
8
16
1
1
1
1
1
26
26
24
32
32
16
16
16
16
10
10
10
8
8
0
0
0
0
0
4
0
0
8
16
24
24
16
0
16
16
16
8
0
8
9
0
0
0
16
17
32
0
2
2
0
16
16
16
0
0
0
1
32
16
24
0
0
0
2
2
8
16
16
16
16
0
0
8
8
8
8
8
0
0
4
4
4
0
0
0
16
18
2
2
32
32
16
16
2
2
0
22
22
8
8
8
8
0
0
16
16
0
0
0
0
8
8
8
0
0
8
0
8
0
0
0
0
0
0
10
0
0
8
0
8
8
0
0
8
8
16
16
16
16
16
1
0
0
0
16
0
1
8
8
8
8
8
16
0
0
8
2
0
0
0
1
4
16
0
0
0
16
16
16
0
0
16
0
32
32
0
32
24
24
24
16
16
16
16
16
16
16
0
0
32
32
0
4
0
0
0
8
0
0
0
0
0
1
0
0
42
42
42
42
0
0
8
8
0
16
16
0
0
4
8
16
0
8
0
2
2
2
8
2
8
8
0
0
8
8
0
0
16
16
16
0
0
4
4
4
4
17
17
17
8
8
8
1
8
8
1
16
16
16
8
8
0
0
0
0
4
0
9
13
0
0
32
32
32
16
8
16
0
4
2
0
13
60
8
8
0
0
28
28
16
16
0
2
2
2
2
4
4
2
0
0
0
32
32
8
0
8
16
16
16
40
8
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
24
8
0
0
0
0
8
16
1
0
0
0
0
0
0
16
16
8
8
8
0
0
32
32
8
8
8
12
8
16
16
16
16
0
0
16
0
0
0
0
0
0
16
8
0
0
0
0
0
0
0
0
2
8
0
8
20
16
0
32
4
8
8
8
32
4
4
4
32
4
24
32
32
8
4
16
16
16
16
0
0
0
8
0
16
8
8
8
2
2
2
2
2
16
8
8
8
0
0
0
8
16
9
9
9
9
9
9
9
9
9
9
9
0
17
36
0
0
0
4
0
0
0
0
0
4
3
3
0
0
0
0
8
0
0
2
0
0
25
25
0
4
4
4
33
1
0
1
8
8
8
8
0
0
0
4
4
16
8
8
0
0
0
8
8
0
0
0
2
1
2
2
16
4
4
2
0
0
16
16
16
16
34
0
0
0
0
0
10
0
8
8
8
0
0
0
0
8
4
4
17
16
16
16
18
8
8
8
8
1
1
0
0
8
0
0
16
0
16
0
0
0
26
26
0
8
8
8
0
16
7
7
7
7
7
8
8
8
0
0
8
8
8
0
16
16
22
22
22
22
8
8
8
0
0
0
8
8
0
0
0
0
0
16
16
16
16
16
16
16
16
16
0
0
0
0
16
16
16
48
32
16
16
0
0
0
0
0
8
8
8
8
8
16
0
0
0
8
0
0
0
0
16
8
8
0
0
0
0
8
8
8
8
8
8
8
0
8
16
16
0
12
7
4
0
16
0
0
8
4
4
4
0
22
2
8
32
16
24
24
0
0
0
16
16
0
0
16
1
1
1
4
4
0
0
0
8
8
2
2
2
2
2
2
2
2
0
0
0
0
0
0
8
8
0
0
0
8
16
0
16
9
9
0
12
12
12
0
8
8
8
2
16
16
16
16
8
8
8
0
0
0
0
0
0
8
8
8
26
0
0
8
0
0
0
24
4
4
2
0
0
0
16
16
0
8
8
8
8
8
12
8
8
0
0
0
16
16
0
0
8
16
0
0
1
1
1
16
16
16
0
0
0
0
0
0
0
0
0
0
16
16
16
8
8
8
0
8
0
0
0
0
0
0
16
16
16
1
0
8
40
8
8
9
9
4
8
8
8
1
0
0
8
8
8
0
4
0
0
2
16
16
0
16
16
16
0
0
16
16
16
8
8
8
0
0
0
8
8
10
40
17
17
18
18
9
24
16
16
16
0
0
0
0
0
0
16
16
0
0
0
0
0
4
16
8
16
8
20
0
4
4
16
0
0
8
8
8
8
16
0
32
32
32
32
32
32
8
8
0
8
8
4
32
8
8
0
0
20
8
8
8
24
1
2
0
20
16
8
8
8
0
2
2
8
8
0
0
0
1
1
1
0
0
0
8
0
0
4
4
4
4
0
8
8
8
8
8
24
0
2
2
2
1
0
0
1
0
0
8
1
1
3
3
0
0
0
0
0
0
0
24
16
8
9
1
0
16
16
16
16
0
16
16
8
0
8
23
1
8
12
12
8
8
8
8
1
1
0
0
0
0
2
22
0
0
16
16
16
0
16
16
0
0
16
16
8
0
0
8
0
53
16
4
8
1
1
1
1
1
1
0
16
8
24
0
0
0
8
16
4
16
16
16
16
8
16
16
16
8
8
0
0
1
8
0
1
1
0
0
20
0
0
0
0
0
8
8
8
0
0
0
0
32
16
4
16
16
16
0
0
0
0
0
4
0
0
0
0
0
8
8
8
4
4
8
16
16
8
16
16
0
0
0
22
22
0
8
8
16
0
0
0
0
0
42
1
1
1
0
12
1
1
34
34
34
34
22
0
0
0
0
0
0
8
0
16
9
8
8
4
24
8
0
16
16
16
0
0
4
8
24
2
2
0
8
0
0
8
8
8
16
16
8
8
16
8
8
0
0
0
12
12
0
4
4
8
0
0
0
0
0
0
0
16
16
16
1
1
1
1
2
0
0
0
0
0
8
8
16
0
0
0
8
8
8
18
0
0
0
0
0
8
8
8
8
4
4
4
4
4
0
0
16
16
16
16
8
40
8
2
8
0
0
16
0
0
0
8
0
0
16
0
0
0
1
0
16
8
8
4
0
0
0
0
0
16
0
0
24
24
4
2
2
2
2
8
8
0
0
0
16
8
8
8
8
0
20
20
0
32
32
1
1
32
32
1
1
1
1
1
1
1
1
0
8
16
16
0
0
0
0
1
4
2
2
2
2
8
24
24
12
4
4
0
0
0
0
1
1
8
0
17
16
16
16
0
0
0
0
2
2
2
2
32
2
0
0
32
32
16
16
16
16
8
8
8
0
0
0
8
16
10
8
8
8
0
0
0
16
0
0
0
0
16
16
16
8
1
1
0
0
0
8
0
0
57
0
0
0
1
0
0
8
4
8
0
0
0
0
0
4
0
4
8
8
8
36
4
32
0
0
0
16
40
40
8
8
2
2
2
16
16
16
0
8
8
8
24
16
16
16
0
0
8
8
16
0
0
16
23
23
0
0
0
0
1
1
0
18
0
8
1
1
1
1
1
1
1
1
1
1
0
0
8
18
2
18
16
0
9
1
1
4
0
0
0
0
0
16
18
18
18
18
16
0
8
43
8
8
0
0
8
0
8
8
12
1
16
16
0
0
16
24
8
0
8
8
0
0
0
12
1
1
1
1
0
0
0
16
16
16
32
0
0
1
1
1
1
1
0
0
16
16
0
0
0
8
8
8
0
0
0
8
8
8
4
4
4
1
33
33
33
0
0
0
2
0
0
16
16
0
0
0
0
8
12
2
2
0
0
16
18
8
8
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
16
4
8
48
48
0
16
16
24
5
4
0
8
16
16
16
4
4
1
1
16
0
0
0
8
8
0
0
0
0
32
0
0
0
0
8
0
0
0
16
16
1
1
1
0
0
1
1
0
0
16
8
9
9
0
16
24
4
0
1
0
0
0
0
0
0
0
0
1
1
1
8
8
8
8
8
0
0
0
0
24
24
9
9
2
2
0
0
0
24
24
0
0
4
20
4
1
0
4
1
8
8
8
16
16
16
2
2
2
0
0
0
16
16
0
32
32
16
16
0
2
2
16
16
16
16
16
16
16
16
16
8
2
4
0
8
8
4
4
0
1
56
0
0
0
0
0
0
0
0
0
8
24
24
24
0
8
20
8
8
0
16
3
3
4
4
0
1
0
0
4
4
16
0
16
0
0
0
16
16
16
16
0
8
1
1
1
1
1
4
0
0
0
0
0
0
1
0
0
0
0
0
8
0
0
0
0
1
0
0
0
16
16
0
0
24
24
24
3
3
3
3
0
8
0
0
8
0
0
0
0
4
4
4
4
2
0
0
8
52
52
0
0
0
0
4
4
0
16
0
8
8
8
8
0
0
0
0
16
16
16
0
8
16
16
16
0
16
16
8
8
8
8
8
8
8
16
8
32
5
2
2
2
2
0
0
0
13
12
8
8
0
0
16
16
16
8
0
16
16
16
2
48
8
8
2
16
8
8
8
1
32
16
0
0
0
0
4
20
0
0
0
0
1
1
1
0
0
0
6
8
20
0
4
4
4
4
0
0
0
0
32
32
4
4
0
0
0
4
24
4
8
8
8
8
16
8
8
8
8
0
0
2
2
0
0
0
0
8
8
0
0
0
0
0
0
8
16
0
0
0
16
8
8
8
8
8
0
0
16
0
0
17
16
8
8
8
0
0
0
16
16
16
16
16
16
1
0
0
0
0
0
16
16
16
16
16
0
0
8
8
16
16
4
0
0
0
0
0
4
4
8
8
16
9
8
32
0
0
16
16
8
8
8
8
8
16
16
0
0
8
0
0
16
8
8
8
0
0
4
4
0
0
0
0
8
5
41
0
8
12
12
12
12
12
40
3
3
3
0
0
2
2
0
0
4
4
4
4
4
4
4
0
8
1
4
4
4
4
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
1
1
1
1
1
0
8
10
32
32
0
0
0
0
8
16
16
16
16
16
16
16
16
32
8
0
8
0
0
8
16
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
4
25
0
0
0
0
0
0
0
8
0
16
16
8
8
1
4
4
4
8
8
0
0
0
0
0
8
0
0
24
24
6
0
0
0
0
16
8
25
17
17
8
0
8
0
0
0
0
0
0
0
0
0
0
8
8
25
25
25
25
8
4
4
4
0
1
4
4
1
8
0
0
0
0
0
0
1
56
16
0
8
8
8
8
0
4
4
4
2
2
2
8
8
8
8
8
8
16
16
16
0
0
0
4
4
2
2
2
21
21
8
0
8
8
8
4
16
16
16
16
17
0
16
16
16
16
0
0
0
32
0
0
0
48
48
32
18
1
16
16
16
16
16
16
16
16
16
8
32
0
16
32
8
20
16
8
8
2
0
10
4
4
8
8
8
8
16
16
16
0
0
0
0
8
16
16
16
0
16
8
8
20
8
24
24
24
24
24
8
8
4
4
1
1
1
0
16
1
1
1
24
16
16
16
0
0
0
0
0
32
0
0
16
8
16
0
0
8
8
8
8
8
8
8
17
17
17
17
8
8
4
1
1
0
0
8
56
56
0
0
0
0
0
0
0
16
8
8
8
8
0
0
0
16
16
16
1
1
8
0
0
4
63
63
0
0
0
0
16
4
4
4
4
8
8
0
4
16
16
2
2
16
16
16
0
8
0
0
0
0
0
0
0
0
0
0
16
16
16
16
16
16
16
16
8
48
48
16
16
16
0
4
4
4
4
4
32
4
9
0
24
0
0
0
22
22
8
2
2
0
8
8
8
16
16
16
16
20
20
0
0
0
24
16
0
0
1
1
1
1
4
0
2
32
32
32
32
32
32
37
37
0
0
0
0
0
18
18
18
0
8
8
8
32
0
16
32
0
0
0
24
16
16
8
8
1
0
0
6
0
0
0
0
0
0
3
0
1
16
0
0
0
0
0
0
1
0
0
0
8
1
1
0
0
16
4
4
4
0
8
10
10
0
0
0
0
8
0
0
4
2
2
16
8
8
8
8
0
8
8
16
16
16
0
0
16
16
24
16
16
16
8
8
8
8
8
8
8
0
16
16
0
4
20
1
1
0
0
0
0
0
0
0
0
18
4
2
0
0
0
0
16
0
0
8
8
8
8
8
8
8
8
0
9
9
9
8
0
0
6
6
0
0
0
0
28
8
1
1
1
1
1
8
16
16
8
8
8
8
8
8
0
4
4
1
1
1
1
1
24
0
0
0
0
0
0
8
1
1
1
16
16
16
16
0
0
0
0
42
34
34
1
16
16
16
8
0
8
2
2
2
2
2
17
52
8
8
8
1
1
8
8
8
2
2
16
16
24
24
24
16
0
8
16
1
0
0
0
0
0
0
8
8
8
8
0
0
0
4
8
16
8
8
56
9
9
16
8
18
4
0
0
8
8
8
0
8
0
0
16
16
0
0
33
33
4
8
8
8
8
8
8
1
1
1
1
4
2
8
8
8
9
8
8
8
0
32
4
2
16
16
16
16
16
16
16
17
24
16
17
17
16
16
16
16
16
8
8
8
0
8
32
8
8
8
3
2
2
2
8
8
0
0
0
1
1
1
0
8
8
8
4
16
28
1
8
16
16
0
16
0
8
32
32
32
0
4
4
0
0
16
16
1
2
2
16
16
2
2
2
2
4
4
12
0
0
16
8
16
0
16
16
16
8
8
8
0
2
0
0
0
1
8
8
0
0
0
0
16
0
0
0
0
24
16
16
8
0
32
32
32
16
16
4
18
0
12
12
4
4
4
4
10
10
0
0
0
0
0
0
0
4
4
4
8
8
8
16
16
3
3
3
20
0
2
6
0
16
8
8
8
32
8
0
4
4
0
0
0
16
8
0
0
32
0
32
8
8
16
16
16
0
0
16
16
8
0
16
0
0
0
0
10
10
0
32
32
32
32
48
8
8
8
16
0
0
0
0
0
0
16
16
16
16
16
16
16
16
16
16
0
16
16
16
16
2
16
16
16
0
16
16
16
16
0
0
16
18
0
8
8
0
0
8
8
8
0
8
16
16
16
0
8
0
4
1
1
16
8
17
1
24
8
16
18
18
18
18
18
18
4
4
8
8
0
0
1
8
8
0
0
0
20
0
24
0
2
16
0
0
8
8
0
0
0
8
0
10
10
0
0
0
2
0
0
8
8
8
20
8
8
4
4
1
8
2
2
2
9
9
9
8
0
0
16
16
16
16
16
0
8
8
8
8
0
16
2
10
37
37
4
0
0
0
0
0
16
16
16
53
53
16
8
2
0
0
0
4
4
0
8
2
49
49
49
49
49
2
8
8
8
8
24
16
12
12
12
19
0
0
3
8
1
8
8
20
20
20
0
0
0
0
8
8
8
0
8
8
16
0
16
2
8
8
8
8
8
0
0
0
0
8
8
8
16
16
16
0
0
0
8
8
8
8
8
0
0
0
0
16
0
0
1
1
24
6
6
4
8
24
0
0
0
0
0
0
0
0
16
0
8
8
8
4
4
0
0
0
8
0
16
16
3
8
1
8
8
8
0
0
16
1
16
0
2
1
16
16
25
25
25
0
0
16
16
0
0
0
24
1
44
8
8
8
0
0
0
0
0
24
18
0
0
4
16
38
4
8
0
0
0
0
16
16
16
1
1
1
1
0
16
16
0
0
8
8
8
8
8
4
2
2
0
0
0
8
12
12
2
8
8
6
0
16
0
0
0
0
8
8
16
0
32
4
4
4
4
18
18
18
0
0
0
0
2
2
2
8
8
8
8
0
0
0
9
9
0
0
9
9
8
16
16
0
0
0
0
0
0
0
2
8
8
8
8
0
0
0
0
0
12
4
2
2
0
0
1
0
8
8
4
4
4
4
4
1
16
16
16
8
8
8
8
8
8
0
0
0
0
0
8
8
2
2
8
8
4
8
4
8
0
1
0
0
1
40
16
0
0
1
0
0
0
0
16
4
24
0
0
16
16
16
16
16
0
0
0
0
24
4
8
8
40
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
8
16
18
8
8
8
8
8
0
8
8
8
24
24
24
24
0
8
8
8
0
0
0
8
0
0
0
24
16
32
32
32
16
16
16
16
16
0
0
0
0
0
0
0
0
0
0
8
0
0
16
16
16
8
2
2
0
0
33
0
0
0
0
0
16
8
8
0
2
2
2
8
8
0
0
8
8
8
8
0
0
8
0
0
8
2
10
4
4
8
8
8
0
24
24
24
24
16
0
0
8
0
2
2
2
2
8
16
8
8
8
8
0
16
1
1
36
32
2
2
1
6
16
16
0
16
8
8
8
8
8
0
0
0
0
0
0
0
0
0
24
0
0
0
0
0
0
16
16
16
0
0
6
0
8
16
16
16
16
16
8
0
0
8
8
0
0
4
8
8
8
8
2
8
8
0
0
0
0
8
16
2
16
4
0
0
32
32
32
16
32
32
32
32
32
32
32
32
32
1
1
1
0
0
0
0
16
16
16
16
16
16
0
16
16
0
0
0
0
0
0
8
16
16
0
8
0
1
0
4
4
16
16
16
8
0
8
8
8
8
8
0
0
8
4
4
4
4
4
0
4
0
0
21
0
0
8
0
0
9
8
8
8
8
24
24
24
24
24
24
24
0
0
8
8
8
8
8
2
8
1
16
16
16
16
2
4
8
8
8
1
18
0
1
0
16
16
0
16
16
16
0
2
0
8
0
2
6
8
8
16
16
16
20
0
0
16
16
0
0
0
0
24
24
0
16
4
4
4
4
8
8
8
8
32
8
8
0
0
0
0
8
0
0
4
4
4
4
16
16
0
0
8
24
1
1
1
1
0
8
8
8
0
18
10
4
4
4
0
0
0
56
0
4
4
4
0
0
8
2
49
0
0
16
16
4
0
0
0
0
0
0
4
4
0
16
16
16
2
2
2
16
0
0
0
0
2
2
2
4
4
0
8
8
8
16
16
16
16
8
0
16
16
1
1
1
8
0
0
0
0
26
16
16
8
8
8
8
8
8
8
0
0
0
0
0
0
16
16
16
0
16
16
1
1
0
8
4
4
24
0
0
18
18
0
0
0
0
8
8
8
8
32
16
0
16
16
2
2
16
0
8
8
8
2
2
0
0
0
0
9
8
0
0
0
0
0
0
0
1
4
4
8
8
16
16
8
8
8
0
8
16
16
8
16
4
4
4
4
4
4
8
8
0
0
0
0
0
0
0
16
0
0
0
0
0
8
0
0
16
16
0
0
1
1
2
6
16
16
32
32
0
0
0
0
8
8
32
32
20
16
8
8
1
16
4
8
35
35
1
1
0
0
0
0
0
0
0
16
8
8
1
0
4
0
0
0
2
8
8
0
0
16
16
16
8
8
0
0
0
0
17
32
0
16
16
0
4
4
0
0
16
16
0
1
1
1
0
0
0
0
16
8
0
0
2
16
16
16
16
16
16
16
0
0
32
32
8
8
0
0
0
8
0
0
0
0
8
8
2
8
8
4
4
4
8
0
0
0
0
0
0
0
16
4
0
0
0
0
8
8
0
34
0
0
5
5
5
8
8
8
24
8
8
8
8
16
16
16
16
0
0
0
24
4
2
2
2
2
0
0
18
0
7
0
16
8
8
24
0
8
2
2
20
20
0
0
0
0
0
0
8
8
8
8
8
50
8
0
16
16
16
0
8
8
32
16
16
8
0
0
4
16
16
32
32
32
32
32
32
8
0
0
0
8
8
8
24
24
24
24
4
1
20
16
0
0
8
8
32
32
32
1
1
1
0
8
1
1
1
8
24
24
9
9
9
8
0
0
32
32
1
1
16
20
8
3
24
0
8
12
0
0
0
0
0
52
52
52
32
32
16
16
16
16
8
8
8
16
16
16
16
16
1
0
0
0
2
4
4
4
0
0
6
16
16
0
0
0
0
0
0
0
10
16
16
24
8
8
8
8
8
0
8
24
24
0
16
8
8
16
16
16
16
8
8
0
16
0
0
0
17
16
0
0
0
0
0
0
12
16
16
16
16
0
0
0
0
4
0
0
1
0
0
0
33
1
0
0
17
17
0
18
16
1
1
0
4
0
0
0
9
0
16
8
8
32
32
32
32
16
16
0
0
0
16
0
8
8
16
2
8
0
0
0
1
16
1
32
16
16
8
1
0
8
0
0
0
24
8
8
8
8
8
0
16
16
16
0
0
0
0
0
8
8
8
8
8
8
8
49
32
32
0
8
16
1
16
16
1
0
16
16
16
16
16
16
1
1
16
16
4
12
32
16
16
8
8
8
8
8
8
0
40
8
8
0
0
0
0
1
12
12
12
12
12
12
0
8
8
16
16
16
8
8
8
8
8
8
8
8
0
4
4
16
16
16
4
0
20
20
20
16
16
16
16
16
16
16
16
1
1
1
1
1
8
16
16
16
0
16
4
8
8
0
0
0
0
0
0
0
0
8
0
0
32
16
16
0
0
2
0
0
12
0
24
4
16
0
0
8
8
8
8
0
0
0
0
0
1
0
16
28
0
0
34
2
4
4
4
0
16
16
17
17
17
16
16
0
0
0
1
8
0
0
8
8
8
16
16
16
16
16
16
0
0
5
8
16
20
20
20
20
16
16
0
0
0
0
0
0
5
0
0
0
44
16
4
4
4
4
4
16
16
16
32
0
4
0
1
8
8
16
20
1
1
0
16
16
8
8
8
0
0
8
8
8
8
8
8
8
16
1
24
24
8
0
0
4
4
4
4
4
8
16
16
16
16
0
8
0
0
0
4
4
0
0
1
8
0
0
0
8
8
1
0
25
25
25
25
25
25
16
16
8
8
8
0
0
4
8
4
4
0
0
0
16
16
0
0
8
4
4
4
16
16
0
0
0
16
16
8
16
10
8
8
8
8
8
8
8
8
8
8
2
8
8
8
0
0
8
16
8
16
16
4
8
8
0
0
0
0
1
0
0
0
0
0
2
2
16
32
32
32
32
32
32
32
32
0
16
16
4
16
16
24
9
0
0
0
0
8
8
25
0
0
0
8
8
16
16
16
24
16
4
8
8
8
0
2
2
0
16
0
0
0
0
8
0
37
0
8
8
2
8
8
0
0
20
16
8
1
1
1
0
0
24
24
24
0
8
0
8
8
8
8
8
8
31
0
8
16
16
16
8
8
32
0
0
25
25
25
8
0
0
0
0
0
0
0
0
4
4
0
12
0
8
0
0
16
16
0
0
16
0
0
1
1
1
0
8
8
8
8
8
8
0
0
2
2
2
0
0
0
0
0
0
0
17
17
17
17
17
2
2
2
2
4
1
0
0
0
16
16
16
16
16
16
16
2
2
2
2
2
2
8
0
0
0
0
8
0
16
16
24
16
0
0
0
16
16
11
16
0
33
1
8
0
8
8
8
2
2
2
2
8
1
16
16
16
16
0
0
0
0
0
16
24
24
0
0
0
8
24
8
0
0
0
16
16
9
9
9
16
16
16
16
0
0
32
0
0
12
40
40
0
0
0
24
24
0
0
1
16
8
0
0
8
8
1
8
8
0
8
0
0
0
32
0
48
48
16
4
0
0
0
0
16
16
0
0
8
8
8
8
8
16
16
8
5
5
8
8
8
1
1
0
16
16
24
0
16
2
0
0
0
8
20
20
8
8
16
16
1
1
0
0
8
0
8
8
8
8
8
8
2
2
2
16
16
16
4
9
9
16
16
8
2
2
8
8
16
1
0
0
2
24
24
0
0
0
0
0
0
0
0
0
0
0
0
0
8
18
18
0
0
8
32
32
0
16
16
0
16
4
4
8
8
2
0
0
16
16
16
0
0
24
24
24
0
16
0
0
8
8
0
0
0
0
4
4
4
4
4
8
24
63
63
8
8
8
0
0
0
8
8
32
32
32
0
1
1
16
0
0
16
0
0
0
0
0
8
16
16
16
16
16
16
0
16
0
0
16
8
8
1
16
0
16
16
17
16
8
8
9
1
8
8
8
8
8
8
8
16
16
16
16
2
2
2
2
32
0
0
8
16
16
16
0
0
0
8
8
0
0
8
16
16
0
0
0
0
0
16
0
8
0
0
8
2
2
0
8
0
8
0
16
16
16
4
4
0
0
20
8
8
4
8
8
16
16
16
16
2
2
2
8
8
8
24
24
16
16
16
16
18
8
16
16
16
0
0
0
28
28
28
28
8
16
16
16
1
10
0
0
16
16
16
16
8
16
16
16
16
32
32
0
8
48
0
8
4
4
1
1
1
49
0
1
1
16
0
8
0
18
18
0
0
0
0
0
0
8
8
8
8
24
33
33
33
33
0
4
24
0
8
0
0
1
1
1
1
8
20
8
8
0
0
16
17
17
17
17
8
8
0
0
16
4
18
4
8
8
8
8
8
8
8
8
8
8
8
8
8
8
16
16
16
4
16
1
16
16
16
16
8
4
8
0
8
8
9
8
8
8
8
8
0
0
0
0
24
0
2
17
16
16
2
8
2
4
1
4
24
24
0
13
13
16
16
8
8
10
16
16
8
8
8
8
0
0
2
2
2
0
2
2
2
0
0
0
8
8
8
8
8
32
32
32
32
32
8
0
0
0
0
32
32
32
8
0
0
1
1
1
1
1
8
16
16
1
1
1
32
0
8
0
0
0
0
16
16
16
16
16
16
16
16
16
16
16
16
0
8
16
0
0
2
1
16
8
0
0
8
16
0
1
0
1
8
0
0
16
16
8
0
0
0
8
0
0
16
0
32
32
8
8
8
8
8
0
0
0
1
1
4
4
4
8
8
1
1
8
8
8
0
16
1
16
0
0
0
0
16
0
0
0
0
0
0
0
0
8
8
4
4
4
4
0
0
16
16
16
8
0
8
0
8
8
2
0
4
8
8
8
8
8
2
2
4
0
16
16
32
0
12
2
2
2
2
8
8
4
16
16
16
1
1
0
0
8
17
4
8
0
0
2
0
8
8
8
8
0
0
0
0
8
0
0
16
9
16
16
0
0
20
16
17
17
17
17
32
32
32
8
8
1
1
1
1
1
1
8
16
16
16
16
16
16
4
16
16
0
0
0
16
16
8
8
8
8
0
0
0
0
0
0
16
16
16
16
16
16
0
0
0
0
18
18
16
4
8
4
0
4
4
2
2
2
2
0
0
12
12
40
4
4
4
4
4
4
0
0
16
0
0
0
8
0
0
8
8
0
8
8
8
8
8
1
8
32
32
32
32
32
0
8
8
2
12
16
16
0
8
16
16
16
0
2
0
0
11
17
16
8
4
4
4
0
16
16
16
8
8
16
16
1
1
25
1
0
16
0
50
8
8
2
2
2
2
0
0
16
8
0
8
8
16
8
8
0
0
16
16
4
8
4
2
24
8
0
0
0
16
1
1
1
0
0
16
2
2
2
8
8
8
16
16
16
16
8
0
0
0
0
6
6
8
8
8
8
0
0
0
0
16
16
16
16
0
0
16
16
16
16
0
8
8
8
0
0
16
8
1
1
1
1
16
16
0
8
16
16
16
19
19
16
16
16
16
1
0
0
4
4
4
8
8
0
0
16
0
0
0
0
0
0
0
0
1
0
0
0
16
16
20
20
20
20
16
33
33
3
8
0
4
4
4
1
4
16
16
16
0
8
8
20
0
8
8
8
8
8
8
8
0
2
2
2
2
33
33
33
0
0
16
16
0
4
0
32
32
32
8
16
8
9
8
16
16
16
16
8
8
16
16
8
8
16
4
0
4
4
16
16
16
16
8
8
8
22
16
8
8
8
0
0
0
2
2
0
0
0
0
4
4
16
16
0
0
0
0
0
0
0
8
8
0
0
48
16
16
16
16
16
16
16
16
0
0
0
0
0
10
0
4
0
0
0
16
0
8
8
8
0
0
18
18
18
18
8
8
16
0
0
0
1
6
4
12
32
1
1
1
4
0
0
8
0
16
16
8
0
8
0
0
8
8
8
16
16
16
16
0
0
1
1
20
20
20
8
8
8
8
16
24
16
16
32
32
32
16
46
8
0
32
4
4
8
8
0
0
0
0
8
8
8
8
24
9
0
0
8
16
16
16
1
1
1
1
8
16
16
8
8
8
2
8
12
12
12
12
9
8
8
0
0
0
0
0
4
0
33
0
32
32
16
16
32
0
0
8
8
0
4
4
1
22
0
8
8
16
16
4
4
0
0
32
32
0
0
9
9
9
0
16
0
0
0
0
0
0
0
16
16
8
9
8
0
0
0
16
16
16
8
8
8
0
4
28
12
2
2
8
8
0
0
0
8
0
16
50
1
1
24
8
8
8
8
8
0
25
32
32
32
32
1
12
12
8
8
4
4
16
0
0
8
22
22
0
16
20
0
0
0
0
1
24
24
24
24
24
24
24
24
24
24
11
0
32
4
16
8
8
44
0
0
16
16
24
24
24
0
0
0
0
4
4
8
2
0
16
8
8
8
8
24
0
24
16
8
16
16
8
0
0
16
16
16
16
16
16
16
0
1
1
16
16
16
0
0
4
0
0
0
0
9
0
0
0
16
16
1
1
1
16
7
4
4
0
0
0
8
8
8
8
0
0
0
16
16
16
16
8
0
0
0
8
0
1
0
0
0
0
0
8
8
8
8
4
17
17
16
8
8
8
8
8
8
8
8
0
0
0
8
8
0
0
0
0
0
16
0
0
16
16
4
41
52
32
8
16
1
0
0
2
2
2
3
2
4
4
4
0
0
0
8
8
0
1
1
4
4
2
2
2
16
16
16
16
0
16
0
0
0
0
0
0
0
0
0
16
4
24
0
8
8
1
16
0
4
0
0
0
0
4
8
48
0
2
2
0
24
0
0
8
0
0
0
0
16
16
10
0
16
4
4
8
8
8
8
8
16
4
0
1
1
32
32
36
32
32
2
8
0
0
0
0
0
16
16
8
0
0
0
0
8
8
48
8
16
16
16
0
24
24
24
16
16
0
16
24
24
16
16
8
8
0
6
24
2
32
2
2
0
0
0
0
25
8
0
16
8
8
1
1
1
16
16
9
9
0
0
0
0
0
1
4
4
0
52
8
8
8
16
0
0
8
4
0
0
1
0
8
8
16
2
0
0
0
2
0
0
0
0
16
0
0
0
0
8
8
16
16
18
20
0
0
0
8
4
4
0
8
8
8
32
32
1
8
8
16
8
0
16
0
8
0
0
0
0
0
0
0
0
0
8
8
2
8
8
16
8
8
16
2
4
8
0
0
8
16
16
16
2
2
2
0
48
48
0
17
17
17
17
17
8
0
0
1
1
1
2
8
16
0
0
4
8
0
0
16
16
16
16
16
24
0
0
0
0
0
24
24
16
16
0
37
22
22
1
1
1
1
4
4
4
4
4
4
0
0
0
0
16
1
17
17
17
0
1
16
16
16
16
0
0
2
8
8
0
0
0
32
0
0
8
8
8
52
52
28
8
8
8
8
8
0
9
9
9
9
9
9
9
8
8
0
0
0
17
0
8
8
0
0
0
0
0
0
0
0
0
0
32
8
1
0
32
32
32
0
4
32
32
8
8
8
0
8
4
4
0
0
0
0
0
0
0
0
16
0
0
0
16
8
8
0
0
8
16
2
0
16
16
20
20
0
0
8
8
16
16
16
8
20
16
16
16
4
0
8
8
0
0
0
4
2
2
2
0
16
16
0
0
0
0
0
4
8
25
25
32
0
0
16
8
16
16
16
16
16
16
9
9
0
0
0
0
0
8
8
0
0
16
0
16
0
0
32
0
2
0
0
0
0
0
0
0
32
32
0
16
16
36
36
16
16
16
16
16
16
24
24
24
16
0
8
32
4
0
0
17
0
16
8
8
8
24
0
32
0
0
0
0
0
0
0
8
8
8
0
0
0
0
8
16
16
16
0
16
0
1
1
0
0
0
0
0
0
0
0
0
0
0
8
8
28
16
0
0
7
12
2
2
0
8
1
8
16
16
10
0
8
0
0
0
0
8
8
8
8
8
8
8
8
28
8
0
0
0
0
0
0
0
0
0
0
0
0
8
8
4
0
0
0
0
9
8
8
2
2
2
0
0
0
0
0
0
0
17
1
16
20
20
16
8
8
2
0
4
4
0
0
0
8
16
16
8
16
16
16
16
16
16
8
0
8
1
1
28
28
28
0
0
0
16
16
1
1
1
8
8
8
8
8
8
8
16
16
16
0
0
0
0
16
16
16
16
16
8
8
8
8
0
0
1
1
8
8
8
12
12
0
8
0
8
8
8
8
8
8
8
8
24
24
8
8
8
0
0
0
16
16
16
16
24
24
24
8
8
8
8
8
8
11
11
11
11
24
0
8
8
8
24
24
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
20
20
20
20
16
8
2
0
1
8
16
0
0
12
12
1
16
2
2
2
8
0
0
4
4
4
16
2
0
0
0
0
0
0
0
32
0
1
0
8
0
0
16
56
56
8
8
0
0
24
1
1
2
0
8
8
8
8
8
8
8
8
0
0
24
4
16
0
0
32
16
8
8
8
8
0
9
0
8
8
8
8
17
0
8
0
8
8
8
8
8
8
0
0
16
16
0
8
2
2
2
8
32
5
0
0
0
0
0
5
0
8
8
8
16
0
0
0
0
0
0
1
0
0
56
56
56
16
16
0
0
8
0
0
0
0
0
0
8
4
4
8
0
0
24
16
0
0
0
0
8
16
0
0
0
0
0
48
48
12
4
4
0
0
2
2
2
2
2
2
2
2
0
20
2
10
0
16
0
0
0
8
8
8
8
8
0
0
0
8
8
8
0
8
0
0
0
16
0
8
8
16
8
0
8
0
4
0
0
4
1
16
8
49
1
1
8
0
4
4
4
0
16
16
0
0
16
16
16
16
0
0
28
28
16
16
16
16
16
24
16
2
8
8
0
8
0
0
1
0
8
8
3
32
0
1
8
8
8
24
8
1
12
12
16
4
0
8
0
8
8
8
0
16
8
0
0
0
0
0
4
4
4
0
0
2
2
0
8
0
0
0
0
0
8
8
1
1
1
1
0
8
16
16
8
4
7
4
16
8
8
8
0
16
16
0
0
30
0
0
0
0
6
6
6
6
6
8
8
8
8
8
0
0
8
8
8
0
0
8
8
8
0
0
16
8
0
24
16
8
8
8
16
16
45
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
9
9
0
0
0
1
1
4
4
0
0
0
8
0
0
8
4
32
32
32
0
0
0
2
2
2
2
0
0
0
17
17
0
0
0
0
0
0
0
0
1
1
4
0
0
0
0
0
0
17
17
17
1
1
0
0
0
8
4
1
8
0
0
4
32
8
40
26
4
4
4
20
20
20
20
20
9
1
16
20
0
0
0
16
1
16
16
16
16
16
16
2
8
0
0
16
8
1
25
25
8
0
0
0
4
4
4
1
8
8
0
0
0
7
0
0
1
1
1
1
1
0
1
8
8
0
8
0
56
56
8
8
1
1
1
16
8
0
0
8
8
8
8
0
8
1
16
16
16
16
0
16
16
16
16
8
8
16
1
1
2
0
16
16
16
3
32
0
0
8
0
0
1
1
1
16
20
16
16
16
16
0
0
0
0
0
0
0
0
4
2
0
0
0
6
0
0
0
0
16
16
16
16
0
24
24
0
8
8
8
8
4
0
8
16
16
16
16
16
8
8
8
8
8
1
0
16
16
16
8
8
8
8
8
8
8
8
8
8
8
8
8
30
30
30
30
30
30
30
16
1
0
9
0
0
19
17
17
16
16
16
16
32
16
16
0
0
0
0
0
1
0
8
16
0
8
8
2
2
2
2
2
8
0
0
0
2
8
32
24
0
0
16
1
16
32
32
32
0
0
0
0
0
0
8
8
16
16
8
2
0
0
20
20
0
1
16
16
16
16
8
8
0
0
0
0
16
1
0
0
16
16
16
16
16
16
16
8
8
8
0
0
8
8
0
1
1
8
16
16
24
0
0
0
0
0
0
0
0
8
16
16
0
0
8
1
1
16
32
16
16
16
16
8
8
8
8
4
20
4
0
0
4
0
8
0
8
0
0
0
4
4
16
16
16
0
0
0
12
12
12
12
12
0
4
0
0
0
0
8
8
4
4
8
8
0
8
8
8
8
8
8
8
8
8
8
0
0
8
0
2
2
0
8
0
1
0
1
0
2
2
2
8
0
0
0
0
0
0
0
0
16
16
16
8
8
8
8
8
8
32
32
12
0
16
0
0
0
0
0
0
0
8
8
8
8
8
8
8
16
17
17
0
16
1
8
8
8
25
8
8
8
0
0
8
4
1
1
16
16
16
16
16
16
0
8
8
16
16
8
8
0
16
4
4
4
0
8
8
8
8
8
8
0
0
0
8
8
0
8
8
8
8
8
0
0
17
17
1
2
8
16
0
0
0
0
0
0
0
0
0
8
8
16
16
16
0
0
21
21
1
16
16
16
16
8
4
4
4
4
0
0
0
0
0
0
16
16
16
8
0
0
0
16
16
16
8
4
0
0
0
0
0
6
6
8
0
0
8
25
0
0
16
8
0
0
0
8
16
16
8
8
0
0
0
0
0
0
0
0
0
0
8
1
1
0
8
8
0
16
24
24
16
0
4
4
4
2
2
4
4
4
1
8
0
2
8
1
1
1
0
0
0
8
8
8
8
8
8
16
16
16
24
24
24
24
24
24
16
8
4
8
0
48
16
4
0
0
8
8
0
0
8
8
4
4
4
8
8
8
12
12
2
0
0
1
1
0
0
0
0
0
0
8
8
0
0
0
0
0
0
8
0
0
8
8
0
8
8
8
8
8
8
1
1
1
1
1
0
8
0
0
8
2
0
0
16
8
8
12
4
4
12
0
16
4
0
0
0
0
16
16
16
16
16
16
16
16
16
16
16
16
16
0
0
8
8
0
0
0
16
16
16
0
0
2
2
2
0
0
0
8
8
8
8
8
9
8
8
0
4
0
16
16
16
16
16
0
0
0
0
8
0
0
8
16
2
0
0
2
1
1
8
16
16
16
0
0
0
16
16
0
16
0
0
2
0
0
4
18
8
8
8
6
8
8
20
8
8
8
2
0
0
4
0
1
0
6
4
0
0
0
36
4
0
8
1
4
0
1
32
0
0
0
0
0
0
0
8
8
0
8
8
8
0
8
8
1
1
1
0
8
8
0
8
0
24
24
8
8
8
8
8
8
8
0
1
0
17
0
8
0
8
8
0
4
8
9
8
8
0
8
0
10
50
4
4
4
0
16
8
8
48
16
1
1
1
8
8
8
8
1
1
14
8
16
8
8
0
16
24
24
24
4
4
4
4
0
0
24
0
0
4
24
0
16
4
0
8
8
16
16
16
16
16
16
0
8
8
16
0
8
8
8
0
0
0
0
12
16
16
16
4
4
0
0
0
16
16
2
2
2
2
2
2
16
16
4
0
0
0
4
8
16
32
32
17
8
0
0
2
2
2
2
24
24
24
20
20
20
20
20
16
16
16
16
16
16
16
16
0
0
17
4
4
4
4
1
8
8
0
0
0
0
0
0
0
0
8
8
8
8
0
18
0
2
0
1
1
0
16
8
4
0
0
8
8
8
32
32
8
8
0
0
8
8
8
0
32
8
8
2
2
0
8
16
16
16
0
0
0
2
2
0
0
0
0
9
9
9
1
1
1
1
4
0
8
0
20
16
0
16
8
8
8
8
16
1
0
0
16
16
16
16
1
0
0
20
8
8
16
16
16
1
0
0
1
8
2
0
0
0
8
16
16
16
16
16
16
16
16
16
16
16
1
16
0
16
16
0
0
16
16
0
16
8
8
2
2
8
8
8
8
8
8
0
0
8
24
16
8
32
8
8
20
16
0
0
0
33
33
33
8
8
8
8
0
4
8
8
8
8
24
24
12
4
0
0
0
0
0
0
8
0
32
32
32
0
24
24
1
1
8
0
0
0
8
8
8
16
6
0
0
17
2
2
0
0
4
4
0
0
0
0
16
0
16
16
8
8
16
0
24
24
24
24
24
24
0
8
16
16
16
16
0
0
0
0
2
8
0
0
4
16
0
0
0
9
4
4
0
0
0
11
11
16
0
0
0
0
0
0
4
8
16
16
0
0
0
16
16
0
2
0
4
4
4
32
32
0
8
0
0
0
32
32
24
24
24
24
24
0
0
0
0
0
8
1
16
0
16
0
4
8
0
40
0
1
0
0
0
0
0
8
8
1
1
1
0
0
8
0
2
2
2
2
2
2
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
8
4
8
0
0
0
0
0
0
0
8
8
1
8
32
32
32
1
1
56
8
24
16
0
0
17
17
0
2
2
2
2
2
2
2
8
8
0
0
1
24
24
24
57
16
16
0
0
0
0
0
0
0
8
16
0
0
8
8
8
0
0
0
0
0
16
0
8
16
8
0
0
0
8
8
8
0
0
0
0
0
0
16
16
16
16
16
16
16
16
16
4
4
4
0
0
0
0
16
16
16
16
16
0
8
0
0
0
0
0
0
1
1
6
0
0
8
8
4
0
1
1
16
16
16
16
16
16
16
16
16
0
16
0
0
0
0
0
0
8
0
0
0
8
8
8
16
16
1
1
1
0
0
0
16
9
9
16
0
8
0
0
32
2
2
2
8
16
16
16
16
16
16
16
8
0
16
1
0
8
8
8
8
8
4
4
4
4
20
32
4
4
5
4
4
3
24
8
16
16
16
16
8
16
16
0
0
0
16
0
0
0
0
0
8
0
16
2
4
0
8
8
8
8
10
0
8
8
24
24
20
0
0
0
0
0
4
32
32
8
34
16
0
2
4
16
16
16
16
0
0
0
0
0
8
16
16
1
1
39
16
0
8
0
0
0
0
0
0
8
4
21
8
1
1
0
0
0
0
0
0
0
4
4
4
4
4
0
32
32
2
2
2
0
0
16
16
8
8
8
8
16
16
4
2
8
16
16
0
0
8
8
16
16
16
16
16
4
1
1
1
1
8
8
8
8
0
0
0
0
0
0
0
0
2
8
8
8
4
0
0
2
2
2
0
0
0
0
1
1
25
1
1
1
8
8
16
0
0
16
16
23
0
16
16
16
16
16
16
0
16
0
26
1
2
1
1
0
0
0
0
0
0
8
16
16
0
0
0
2
2
0
16
3
16
4
4
16
1
2
16
14
14
16
4
8
8
8
8
8
8
8
8
8
8
8
2
24
16
8
20
20
20
20
16
16
16
8
8
8
0
0
8
0
0
8
9
9
4
4
40
16
4
0
0
2
0
0
8
8
8
8
16
16
0
8
16
0
8
0
0
0
20
16
8
8
8
1
1
1
0
0
0
0
4
27
16
16
0
0
0
16
16
32
32
8
8
0
0
0
0
8
0
8
0
0
8
16
0
16
16
0
0
0
0
2
2
8
0
24
0
8
4
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
1
17
17
8
0
0
4
4
4
4
4
4
0
16
16
16
0
0
0
0
0
4
0
8
8
8
1
0
0
16
0
0
0
0
16
8
16
16
16
16
4
0
0
8
16
4
4
4
16
16
16
16
16
11
8
8
8
8
0
0
8
1
1
0
0
20
0
16
0
0
0
0
32
8
8
8
0
8
0
0
0
0
0
4
4
16
16
0
0
0
0
0
2
32
0
16
16
16
16
16
8
8
8
8
8
0
8
8
24
0
0
0
0
0
24
24
0
0
0
0
0
1
4
8
2
2
0
12
12
9
8
0
56
0
0
0
0
0
0
8
0
0
0
10
0
0
4
4
0
32
32
0
8
8
8
24
0
0
4
4
4
16
16
0
0
0
1
1
1
8
0
0
0
0
0
0
0
8
8
16
16
16
0
16
16
8
8
0
0
0
0
0
8
8
0
4
8
8
8
32
32
0
0
0
0
4
4
8
8
8
0
0
0
0
0
0
0
0
1
1
0
8
8
16
16
8
1
8
8
8
0
1
8
0
0
0
0
0
0
2
2
16
16
0
8
8
20
20
8
0
11
9
16
1
16
16
8
2
2
2
2
2
2
24
8
0
0
24
24
0
0
0
4
4
4
0
0
0
0
0
0
0
0
8
16
16
16
1
8
1
1
1
1
16
16
0
0
0
0
8
8
8
8
13
8
0
0
2
8
0
2
40
40
40
16
16
16
16
8
8
2
8
8
0
0
8
8
8
2
0
0
0
1
16
16
0
0
8
8
8
8
0
16
0
4
8
8
0
0
8
24
2
0
8
8
8
8
34
8
8
20
5
8
8
15
15
15
15
15
0
0
0
0
0
1
0
0
62
3
0
0
0
2
2
2
2
8
8
8
1
1
0
0
8
8
2
16
4
1
1
16
16
16
16
0
0
8
16
16
16
0
16
16
16
16
0
2
0
0
0
0
0
1
0
24
8
4
4
4
4
8
0
0
1
8
8
8
0
16
16
16
16
16
16
8
5
0
0
8
30
0
24
48
60
60
1
1
8
8
16
0
16
16
0
0
16
16
1
1
2
0
0
0
8
0
0
0
16
16
16
0
32
16
16
16
0
0
16
16
0
27
8
8
8
16
16
0
0
0
0
8
16
8
8
8
8
0
0
24
0
0
0
0
0
16
0
12
40
1
1
4
4
0
0
0
0
16
16
0
0
0
8
8
8
16
16
16
16
8
8
16
0
0
0
0
1
17
32
32
16
16
0
0
0
0
0
0
0
16
0
0
1
1
2
0
0
6
6
6
0
0
16
16
2
0
1
2
1
1
1
8
8
8
16
0
11
16
16
16
4
24
24
0
8
8
8
0
0
8
8
24
24
24
24
0
4
24
16
8
0
0
16
16
8
48
2
2
2
8
0
0
0
0
0
0
56
56
56
2
8
8
1
10
2
0
0
4
4
4
4
4
4
4
4
4
4
0
0
0
0
0
0
1
1
0
0
0
0
0
9
9
9
16
8
8
8
8
8
8
8
1
1
1
4
0
1
8
8
6
6
6
17
17
19
8
8
16
16
4
16
44
8
8
1
0
0
0
0
0
8
1
1
1
0
32
32
1
0
0
20
20
20
34
34
34
34
0
8
8
24
8
0
8
8
8
8
32
32
0
0
0
0
8
0
0
0
0
0
1
1
1
8
8
0
0
0
1
1
0
32
0
0
0
0
0
0
32
32
32
32
16
8
0
6
8
0
0
0
8
16
16
16
0
0
0
0
0
0
0
0
0
0
8
8
8
16
0
0
0
32
32
32
32
4
0
4
16
16
8
16
16
0
0
0
0
4
4
0
0
0
0
16
16
8
0
0
0
0
0
0
16
16
3
0
5
0
8
0
8
8
28
8
8
8
2
0
8
8
8
8
8
0
1
1
16
16
16
16
16
16
16
16
16
8
1
16
48
0
2
0
4
4
4
0
18
32
32
8
8
0
8
8
16
0
0
8
8
24
8
8
8
0
0
1
1
1
1
1
0
8
8
8
4
0
8
8
8
20
0
8
4
8
8
8
8
8
16
0
8
0
0
0
30
30
20
20
4
4
0
0
0
1
0
0
20
2
2
2
8
0
16
0
8
8
1
0
0
8
32
32
8
16
0
8
16
4
4
0
8
8
8
0
0
0
0
32
0
8
4
4
8
1
4
12
32
0
0
0
20
4
4
8
8
8
8
0
2
8
8
8
8
8
0
0
0
16
16
16
36
36
16
16
4
0
0
16
16
8
9
9
6
0
0
2
8
8
0
0
0
8
8
0
0
0
0
16
16
8
16
16
16
16
16
16
16
8
0
8
0
0
0
0
0
0
0
0
13
13
13
13
8
12
4
0
8
0
4
4
0
16
0
8
8
0
5
1
1
0
0
5
8
16
18
18
8
8
8
8
8
8
8
0
8
8
0
16
16
32
16
8
59
59
59
16
0
8
8
8
8
0
13
8
4
0
0
0
0
0
3
0
4
0
0
0
0
0
0
0
0
8
5
5
8
8
8
16
0
0
0
18
2
2
8
13
16
8
8
8
8
0
8
8
2
8
8
0
0
0
8
8
8
8
4
4
4
4
0
17
17
17
0
16
16
16
16
16
16
2
0
8
8
8
0
0
0
0
0
0
0
12
12
0
0
0
8
17
17
0
0
0
8
16
16
0
0
0
0
22
0
0
22
5
5
5
1
0
16
16
0
0
0
0
0
0
16
16
16
0
16
16
0
0
0
0
0
8
0
0
0
8
0
0
8
0
0
0
0
0
8
8
4
16
0
1
16
20
8
8
8
8
8
8
8
0
0
0
0
16
16
4
4
0
0
0
8
0
1
2
2
1
16
0
0
0
8
8
1
4
24
2
0
1
1
0
0
16
17
17
17
17
32
0
0
16
16
16
2
8
0
1
1
0
0
8
4
0
24
24
56
0
8
8
0
0
6
4
12
0
0
0
0
0
0
16
16
0
8
58
0
0
8
8
0
0
1
1
0
0
8
16
0
0
8
8
8
8
16
0
6
4
4
8
8
8
8
0
0
0
22
1
8
0
0
1
0
0
8
8
8
8
16
0
16
16
1
0
8
8
2
8
8
8
8
0
8
0
0
0
0
0
2
4
8
16
0
0
0
0
16
16
0
0
8
8
16
1
0
0
56
56
4
1
0
0
8
8
8
4
8
8
4
4
4
4
4
8
0
0
8
16
4
0
0
0
0
16
16
0
0
32
1
0
0
0
40
40
8
8
16
0
2
2
0
8
8
8
16
0
0
0
0
0
0
0
0
0
0
0
16
0
0
4
4
1
1
8
8
0
8
8
8
8
8
8
0
0
0
18
2
2
2
0
8
0
20
16
16
8
8
0
1
4
32
32
32
32
32
32
32
16
16
0
0
8
4
4
2
9
4
0
16
16
16
16
8
8
0
0
16
4
4
4
4
4
0
0
8
4
4
0
0
4
4
0
0
8
0
8
16
0
0
0
0
0
0
4
0
8
45
0
0
8
0
8
8
0
0
20
20
8
1
1
16
16
0
0
16
0
16
16
16
16
0
0
48
0
0
0
16
16
0
0
0
0
0
1
0
0
4
0
16
16
16
0
0
38
32
0
16
4
0
2
2
0
16
16
16
0
0
8
0
2
1
1
0
0
8
7
7
7
0
0
0
0
1
12
12
8
0
0
0
20
20
20
16
0
9
8
24
16
20
16
1
8
8
0
0
16
0
0
0
0
0
0
16
16
16
0
16
4
4
4
0
0
56
11
8
8
8
8
0
0
16
0
8
8
8
8
0
0
0
0
8
0
0
0
4
8
8
4
4
4
0
8
0
0
0
0
0
0
0
0
2
0
33
33
8
0
0
1
1
40
40
40
1
8
6
8
1
16
20
8
8
8
8
16
16
0
0
0
0
0
0
0
0
4
4
4
4
0
4
24
16
4
0
0
0
8
8
0
16
16
0
4
0
1
0
0
4
32
8
8
8
8
24
8
1
0
0
8
8
0
0
9
8
8
0
8
8
0
0
8
0
0
8
0
0
33
0
0
0
8
8
0
0
16
0
40
40
40
8
16
16
4
4
0
0
0
0
0
0
32
0
8
8
1
1
1
0
2
2
1
2
2
8
8
0
8
0
1
1
0
14
0
0
8
56
8
8
8
8
8
34
16
10
6
6
1
8
8
0
0
8
8
8
8
0
0
0
0
1
4
4
0
0
8
0
16
2
9
0
0
0
4
8
8
8
8
8
8
8
8
8
8
0
0
0
8
8
8
2
6
0
0
4
8
0
0
0
16
2
0
0
0
0
0
0
0
4
9
9
9
9
9
9
0
0
0
8
4
0
8
8
14
14
16
0
0
24
0
1
0
0
8
0
1
1
4
0
4
4
0
0
4
8
0
0
0
16
8
0
0
8
4
0
0
24
0
0
8
8
16
0
0
0
8
8
48
16
48
4
0
0
4
8
8
8
2
32
8
8
2
2
0
0
8
8
8
8
4
8
0
0
4
4
4
4
4
0
8
16
16
2
0
4
4
8
0
0
3
3
3
3
3
0
59
59
59
8
0
0
0
0
0
0
0
16
16
16
0
8
8
16
4
4
0
8
8
0
16
0
0
0
8
0
8
8
8
0
0
0
1
1
0
0
16
3
24
16
16
16
0
0
0
0
0
8
2
4
16
16
16
16
8
8
8
16
16
16
16
16
16
8
32
0
0
0
0
1
1
16
16
0
0
0
0
0
2
2
16
8
8
16
16
16
0
0
6
0
0
0
0
8
16
16
16
16
16
0
8
0
0
0
4
0
0
8
16
16
18
0
0
8
0
0
4
4
4
0
0
0
4
0
0
0
8
0
48
48
48
48
48
28
28
8
4
0
0
0
0
0
0
0
4
0
8
8
8
0
0
0
17
8
22
0
0
0
0
16
8
8
0
0
1
8
8
8
16
16
8
8
8
8
8
0
12
12
0
14
3
0
4
0
8
8
40
8
24
8
0
0
8
0
8
8
8
8
1
0
0
0
8
8
8
1
0
8
8
16
0
0
8
0
0
0
0
0
8
16
16
0
8
16
16
8
0
16
16
16
0
8
8
0
8
1
1
0
0
0
0
1
0
17
8
32
16
10
0
2
0
0
5
5
0
0
0
0
0
1
1
1
1
0
0
16
8
0
0
0
4
16
16
2
2
0
0
8
8
8
8
0
0
0
8
8
4
4
16
16
26
8
16
8
4
16
16
8
8
2
10
12
12
12
1
4
4
0
0
18
2
16
16
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
8
0
0
0
1
16
0
1
9
0
8
8
8
16
16
0
2
0
0
0
0
0
0
0
1
1
4
4
2
0
6
4
8
8
16
0
0
0
0
0
0
0
0
0
20
24
2
32
8
8
2
4
8
0
51
8
16
16
0
0
24
4
4
0
0
0
0
0
0
8
16
24
24
2
2
2
0
0
2
5
0
1
8
0
0
8
4
4
0
0
16
0
0
0
1
2
0
8
4
4
8
8
8
0
2
2
2
0
4
0
0
0
0
8
8
0
0
0
4
3
8
8
0
0
4
8
8
8
8
16
16
16
16
16
16
0
1
0
0
0
20
20
8
8
8
0
0
0
32
0
0
0
0
0
0
0
0
8
57
0
4
20
0
0
0
0
0
0
0
0
24
16
0
0
16
0
0
8
16
16
0
4
0
16
17
14
0
0
4
2
0
0
24
24
0
2
20
20
24
0
0
0
0
4
4
4
4
4
0
0
6
16
0
16
17
0
0
16
0
16
16
16
16
16
2
2
8
8
0
16
24
0
0
16
1
0
1
1
0
8
8
16
8
8
8
0
2
8
0
8
8
16
8
8
8
0
0
0
0
32
32
8
0
0
16
24
0
0
0
0
0
0
0
8
8
0
0
0
8
8
0
0
8
8
4
3
3
0
0
16
16
8
1
0
0
0
0
8
1
0
0
4
4
4
0
8
32
48
8
0
8
0
0
4
22
22
8
8
24
8
4
16
8
0
0
0
0
0
8
8
8
8
8
8
8
16
12
8
16
16
0
36
12
0
0
0
0
24
0
2
16
16
0
0
24
8
8
8
8
8
22
0
1
0
0
0
0
8
8
4
4
8
0
8
8
8
8
0
8
56
0
2
0
0
0
0
0
8
0
0
8
8
8
8
0
16
1
4
16
0
4
5
4
16
16
0
8
16
16
16
1
0
4
0
8
8
0
0
48
48
1
1
1
10
8
8
0
0
6
6
0
16
16
0
0
0
0
0
0
0
16
16
18
0
0
8
8
8
42
42
0
0
0
8
32
0
16
2
2
2
13
8
16
8
8
2
2
2
0
0
16
4
0
0
36
0
0
0
0
0
0
1
0
0
8
0
0
0
4
16
0
0
0
0
0
24
0
0
0
8
8
8
0
2
6
6
0
48
48
48
8
0
0
8
8
8
0
0
0
2
2
0
8
8
0
0
8
0
0
8
8
24
24
0
0
0
4
4
0
8
8
8
8
8
8
0
0
8
8
8
8
2
2
20
16
0
8
8
12
12
7
7
7
8
8
8
0
0
4
8
0
0
40
0
0
8
0
16
8
2
8
0
16
16
0
4
24
0
0
0
8
12
12
2
0
0
0
0
0
16
2
0
8
8
16
16
16
0
24
24
0
0
18
8
8
2
4
16
16
3
0
0
0
0
0
0
16
0
8
8
16
1
16
0
1
0
0
8
0
0
0
16
1
0
2
2
8
16
16
0
0
0
8
20
20
20
2
0
24
20
8
8
8
8
2
2
2
2
16
16
4
0
0
0
0
9
9
16
0
0
4
4
0
16
16
16
16
8
8
8
4
0
0
0
8
8
0
0
32
16
16
0
0
0
24
0
16
16
0
8
8
8
8
8
2
48
24
16
0
8
0
0
0
0
1
16
16
0
1
1
1
8
8
8
8
8
8
8
8
0
0
2
1
0
0
2
0
32
0
16
8
16
16
16
20
2
2
0
0
0
16
0
24
8
0
0
0
0
8
8
8
0
8
2
0
0
16
0
4
0
0
9
8
8
0
0
1
16
0
20
12
8
8
8
16
16
16
16
0
0
0
0
0
8
24
24
8
0
16
8
16
6
0
6
0
4
4
4
8
8
8
8
0
0
9
0
16
16
16
8
8
0
16
22
22
22
22
2
2
0
5
8
8
16
8
0
6
1
0
0
0
0
0
8
0
1
1
0
0
4
0
0
8
8
8
0
0
16
16
0
0
3
11
4
4
8
8
8
16
9
8
0
0
0
2
17
8
8
8
22
16
16
0
16
4
4
17
16
0
16
16
16
16
16
20
20
20
20
0
1
0
0
0
1
8
8
8
8
8
8
8
8
16
16
16
16
16
16
16
16
8
16
18
18
18
8
0
0
0
0
0
0
0
0
0
1
8
8
8
8
8
0
8
16
0
0
0
0
8
0
0
0
0
16
16
16
16
16
0
0
0
24
8
8
8
0
0
0
16
16
16
16
8
8
0
0
0
8
0
0
0
0
0
0
0
0
16
0
0
0
8
16
8
0
0
0
3
3
8
8
8
8
8
1
0
0
8
8
0
0
0
0
12
12
12
12
12
0
0
8
8
1
0
0
3
0
4
4
0
0
2
2
2
2
2
2
1
12
0
2
2
2
0
8
0
8
0
0
8
0
0
0
20
0
0
26
26
1
0
16
16
0
0
4
0
0
1
0
0
0
0
0
16
16
0
1
2
0
0
16
0
0
0
0
16
16
8
8
8
8
4
2
8
8
0
0
0
0
0
0
8
8
8
0
0
16
6
6
16
17
8
4
4
0
8
24
0
0
0
0
20
4
20
20
20
20
20
20
20
20
20
8
16
0
0
0
0
16
16
16
16
16
0
0
0
8
8
8
16
16
16
8
0
0
8
8
8
8
0
0
36
0
8
8
0
0
0
0
4
0
4
4
0
0
0
0
8
0
4
0
0
0
8
1
8
8
0
0
1
1
0
20
20
0
0
8
8
8
40
8
16
22
22
0
9
16
16
0
0
8
0
8
0
0
0
8
8
0
8
8
0
0
0
0
0
0
0
0
8
8
0
0
0
8
0
8
8
32
8
0
0
0
0
8
8
8
8
2
2
4
0
0
0
4
0
16
16
16
0
0
0
5
16
0
0
8
0
16
20
8
8
8
8
8
8
1
0
0
0
8
16
16
16
16
16
16
1
1
1
1
1
18
0
0
9
9
24
1
0
16
16
0
4
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
16
0
0
8
0
0
0
11
8
0
0
0
0
2
2
0
16
0
0
0
8
8
1
0
8
16
0
4
4
0
16
0
0
12
8
8
0
0
16
16
0
0
0
0
16
16
0
0
16
16
1
1
8
0
8
8
8
0
8
16
0
0
0
0
8
8
0
0
0
32
48
32
8
8
0
0
0
16
0
0
8
0
0
16
1
16
16
0
12
12
0
0
0
0
0
0
1
1
0
0
0
0
0
1
0
0
0
8
0
0
0
0
0
0
8
8
16
16
16
16
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
1
55
55
16
16
0
0
0
0
0
16
0
0
0
0
16
16
16
16
16
16
4
0
8
8
0
0
8
16
0
0
0
8
4
2
16
0
24
24
0
0
8
8
24
24
0
0
5
0
8
8
8
0
8
8
8
8
0
0
0
0
16
8
0
8
8
8
8
8
8
8
8
16
16
0
8
0
0
0
0
0
16
0
0
8
8
8
0
0
0
0
0
16
4
20
20
32
32
0
0
0
8
8
8
0
0
10
10
0
16
0
16
4
0
0
1
24
0
8
8
17
17
0
8
8
8
0
0
0
0
0
8
8
0
0
0
8
8
8
8
8
16
0
0
8
8
1
8
8
0
0
0
8
8
0
16
13
13
13
13
13
13
17
0
0
16
0
0
0
16
0
0
0
0
1
8
8
8
0
0
0
0
0
0
0
16
18
16
16
16
0
0
8
1
1
1
1
0
0
0
0
0
0
8
0
0
0
16
16
8
0
0
8
16
17
17
2
18
0
8
0
0
0
0
8
8
8
8
8
18
16
0
0
0
0
0
0
8
8
8
8
16
0
18
8
8
32
4
16
0
0
10
7
0
2
2
2
0
0
0
0
0
0
0
0
24
56
0
0
0
0
8
8
8
8
0
0
22
8
16
16
16
16
0
8
0
0
0
0
1
0
0
0
24
24
8
2
0
0
1
0
0
8
8
1
1
8
4
1
16
0
0
0
0
0
0
0
1
0
0
45
8
1
16
16
0
8
0
0
0
0
0
8
2
0
0
0
0
2
2
2
8
4
4
0
0
1
0
0
0
0
8
16
16
1
1
4
8
8
0
0
8
8
16
4
4
4
4
0
16
8
0
0
0
16
0
0
8
8
8
16
0
0
0
24
0
8
8
4
8
8
0
0
0
16
16
4
4
25
0
8
0
0
0
0
0
0
0
0
25
25
0
8
16
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
32
1
1
1
0
8
0
2
12
24
0
1
12
20
20
20
0
0
16
8
0
0
0
0
0
0
1
1
1
4
4
0
4
0
25
0
16
8
8
0
0
0
8
0
0
0
0
32
8
0
8
4
4
36
4
0
8
4
0
8
8
0
0
0
0
0
0
4
0
8
0
0
32
0
0
0
0
8
28
8
20
1
1
0
16
16
8
1
4
1
0
36
56
56
56
56
56
0
16
0
0
12
4
32
16
8
0
0
32
5
20
20
0
8
0
3
2
1
4
0
0
8
8
8
8
0
8
0
0
0
0
0
1
0
0
0
8
8
8
0
0
0
17
8
8
8
0
8
0
0
16
0
0
8
17
32
32
0
2
2
8
4
8
8
0
0
1
46
0
0
0
42
42
8
0
0
4
6
6
16
16
16
16
16
16
16
2
2
0
16
2
0
4
16
16
32
4
8
2
8
8
8
8
8
0
8
16
1
1
1
1
1
8
8
18
18
0
1
0
1
4
8
8
8
16
16
8
0
6
14
0
16
0
8
16
8
8
0
1
0
8
8
0
0
8
16
16
16
0
0
0
0
1
8
0
0
1
16
0
6
4
8
4
12
0
0
0
8
8
0
16
16
4
8
0
0
0
0
0
8
48
32
32
0
0
0
24
8
16
16
8
8
8
0
0
0
0
0
26
0
0
21
8
8
8
8
8
8
0
0
16
16
8
8
8
2
2
2
2
16
16
0
16
8
8
8
0
0
2
2
2
0
0
8
0
0
16
0
18
24
0
0
0
8
8
8
8
0
4
8
8
8
24
16
16
0
0
0
0
1
0
8
36
36
8
0
0
8
8
0
0
0
0
0
8
8
0
0
0
8
1
8
16
8
8
8
0
20
20
20
16
8
0
2
4
0
0
6
4
0
4
16
0
8
0
16
16
0
0
0
8
8
0
1
0
0
0
0
4
4
0
0
0
0
16
8
8
0
2
16
0
0
0
0
0
24
24
24
0
0
24
1
1
1
0
8
8
8
1
0
0
16
16
24
8
8
0
0
8
8
40
40
2
2
20
16
16
0
0
0
0
0
0
0
1
0
1
0
0
0
8
0
8
1
8
0
0
1
16
16
16
8
8
32
0
0
0
16
16
8
8
8
0
1
1
8
22
8
0
0
16
16
16
0
0
2
2
0
0
0
2
0
0
0
8
0
0
0
16
0
0
0
0
0
0
8
8
8
2
8
8
8
8
8
8
16
0
1
8
0
0
8
8
16
16
0
4
4
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
2
0
0
0
0
8
8
16
0
0
16
16
0
4
0
0
0
16
16
0
0
16
8
0
0
8
8
9
9
8
8
8
8
8
8
16
0
0
2
4
4
4
4
0
16
16
0
32
16
0
0
8
0
0
4
0
8
8
4
0
0
16
8
8
8
8
16
16
16
16
1
0
16
12
12
8
8
16
16
0
2
10
8
0
0
16
1
16
0
0
12
4
20
0
0
16
16
16
0
0
16
16
16
16
16
16
16
16
16
0
0
0
8
20
0
0
16
0
8
8
1
0
0
16
16
16
8
8
1
1
0
4
4
4
4
16
49
49
49
1
1
1
0
0
0
0
0
0
2
16
0
18
18
4
8
1
0
0
4
4
4
12
0
0
0
2
0
0
0
16
1
1
1
0
32
0
0
16
0
0
0
24
24
4
4
1
0
0
0
4
0
0
0
0
0
1
8
3
17
12
0
0
1
0
0
0
0
8
0
4
0
0
1
1
1
8
20
10
0
0
0
4
16
16
16
16
0
0
0
0
0
0
0
0
4
0
0
8
8
8
1
8
8
8
8
0
14
0
16
16
32
0
0
0
8
0
16
8
4
4
8
16
16
0
0
0
16
8
0
0
0
16
16
0
0
0
0
0
16
16
0
0
0
0
0
0
4
0
1
8
8
0
8
8
0
0
8
8
8
8
0
0
0
0
16
0
0
0
8
8
8
8
8
8
8
9
0
0
16
6
8
8
8
0
4
8
24
24
16
8
16
48
0
8
8
1
0
0
0
1
1
1
0
0
0
8
8
0
32
14
8
8
8
0
17
2
32
0
0
8
0
0
1
16
1
1
0
0
16
0
16
2
2
0
0
8
8
0
0
8
8
8
0
24
24
24
24
0
0
1
0
2
2
16
18
8
4
0
0
28
28
28
0
0
4
0
0
0
16
16
4
4
1
4
4
4
8
0
0
0
0
2
2
2
2
2
2
4
0
0
16
0
0
0
0
0
0
0
0
4
8
8
8
8
8
0
4
2
0
16
0
8
33
0
1
0
0
0
0
17
16
8
8
8
8
0
24
24
0
0
0
16
16
16
8
8
4
0
0
1
1
1
0
16
16
16
16
16
16
16
0
0
0
8
0
8
4
0
0
8
4
4
40
16
8
4
4
8
8
8
0
16
16
0
4
0
0
0
0
8
8
0
0
5
16
16
8
8
4
0
2
0
0
0
0
60
60
33
33
33
8
8
0
24
8
0
0
16
0
32
0
0
0
0
0
16
16
16
2
2
0
9
9
0
0
0
0
0
0
8
0
12
8
1
2
2
2
2
8
0
1
16
8
8
4
24
20
16
16
16
8
8
8
8
0
8
16
0
12
16
16
0
8
8
2
8
8
8
0
0
0
8
0
4
0
0
0
0
1
0
0
0
0
0
4
2
2
2
2
32
0
0
0
0
1
16
8
0
0
8
8
8
8
8
8
8
8
24
0
0
8
8
0
0
0
16
18
18
0
8
8
16
16
0
0
1
1
1
1
0
4
8
0
0
0
4
4
4
4
0
8
0
0
0
0
0
0
0
16
16
0
0
0
0
16
0
20
20
16
0
0
0
16
0
8
2
0
0
0
0
0
4
8
8
0
16
0
0
0
8
0
0
16
16
0
24
24
0
0
2
0
4
8
8
8
8
8
8
8
8
8
8
0
0
18
0
0
0
8
8
0
0
0
0
0
0
17
17
0
2
2
2
0
8
8
8
8
8
0
8
8
0
0
8
16
16
16
16
0
0
8
32
4
4
4
8
2
8
8
0
1
0
0
0
0
10
8
0
8
8
8
8
8
16
0
0
0
1
1
1
10
8
8
8
8
8
8
0
16
0
0
0
0
0
0
2
2
16
4
16
16
16
0
1
16
16
16
8
8
0
0
0
0
0
0
0
2
0
0
16
0
0
0
0
8
24
24
0
0
0
2
32
0
8
8
8
0
0
0
25
8
8
8
8
0
8
8
1
0
0
0
0
0
0
1
0
0
0
0
8
0
0
0
0
0
0
20
12
0
16
0
0
17
4
4
4
0
9
4
2
8
16
37
16
16
2
0
0
1
16
16
8
8
0
16
16
16
16
0
0
8
8
8
8
0
0
0
8
8
8
8
0
24
8
8
8
0
0
0
0
8
0
16
16
2
2
0
1
1
5
2
2
0
16
16
8
0
0
16
2
2
2
2
2
0
16
8
0
24
16
8
0
2
8
8
8
8
8
0
0
0
16
16
8
0
2
24
0
0
0
0
8
0
4
0
0
0
0
16
16
16
16
8
8
0
0
0
16
10
8
16
16
16
16
16
6
6
0
12
0
2
2
8
0
0
0
0
18
0
0
0
0
34
0
0
8
8
8
8
0
24
8
0
0
0
8
16
16
8
8
8
4
8
8
8
0
16
16
16
16
0
0
8
8
0
0
0
4
8
8
8
0
0
26
8
0
6
8
0
34
34
34
0
0
0
0
0
24
8
8
0
16
0
0
0
0
0
1
1
8
0
0
8
8
0
0
16
0
0
0
1
0
8
8
8
0
8
4
32
16
0
0
0
0
0
25
8
8
16
16
0
0
1
0
1
4
4
0
0
0
0
0
0
16
17
0
1
1
10
0
0
0
0
24
24
0
0
0
0
3
16
16
3
3
1
8
32
32
0
0
1
16
1
16
0
0
1
1
0
2
0
0
0
0
0
1
16
0
8
16
4
9
0
32
32
32
18
22
22
1
1
1
0
0
0
0
0
0
0
4
4
8
0
0
2
8
0
16
12
2
0
0
0
0
0
8
8
16
2
0
0
0
0
0
0
0
24
0
0
8
0
0
4
57
57
4
32
16
16
16
0
0
0
0
2
0
8
8
8
8
8
8
16
16
0
0
0
4
0
0
0
0
0
8
16
0
0
6
12
0
16
16
2
16
10
2
0
0
8
8
0
2
2
0
0
2
0
0
2
2
2
8
8
24
0
60
60
24
16
17
17
17
1
0
8
0
4
4
1
1
1
0
24
24
0
0
0
0
4
0
4
16
16
0
0
0
0
0
0
0
9
16
4
8
0
0
4
4
0
16
0
0
0
0
0
0
0
0
2
16
0
0
4
0
0
0
0
8
8
16
16
16
16
16
0
0
0
0
0
0
0
8
48
8
8
56
4
0
0
0
8
16
0
0
1
1
32
32
32
0
0
0
0
8
8
8
9
9
9
0
0
8
16
16
8
0
0
0
0
0
5
24
24
24
16
0
16
16
16
16
16
16
16
16
0
0
0
8
8
8
5
4
8
0
0
0
8
0
0
6
6
16
1
2
2
33
4
8
0
0
0
16
16
16
19
8
8
8
0
0
0
0
3
3
0
16
8
4
4
16
8
0
0
24
8
16
16
16
16
24
24
0
0
0
0
1
1
1
8
0
0
8
16
16
16
16
5
0
0
0
0
0
16
16
48
48
48
1
16
18
16
0
16
48
48
8
8
0
8
8
0
16
0
8
0
8
8
8
0
1
0
0
0
0
4
4
0
0
16
16
8
0
0
18
16
18
0
0
1
3
30
30
61
0
16
16
0
32
32
32
32
0
0
0
0
8
0
8
0
0
0
48
0
0
8
0
0
0
0
8
8
8
8
0
0
0
0
0
0
0
0
16
8
8
8
8
4
0
0
0
0
32
0
0
0
0
0
16
0
0
0
0
0
0
0
4
8
32
0
0
0
2
5
41
0
16
0
8
0
26
0
0
0
8
8
8
8
0
8
4
4
0
16
16
0
0
9
9
32
32
32
32
0
8
8
1
1
16
16
0
2
2
8
8
8
8
2
16
16
16
16
0
0
2
0
0
8
1
1
1
17
0
1
0
0
0
0
0
0
0
0
8
8
8
1
1
0
0
0
8
0
0
16
16
16
0
1
16
0
0
0
1
0
0
0
16
0
8
0
0
18
0
17
28
28
8
8
16
0
0
0
16
0
0
56
8
0
8
8
8
32
8
3
3
2
16
8
8
8
8
0
16
0
8
0
0
0
8
8
16
8
8
8
24
16
0
0
0
0
4
4
0
5
5
0
0
0
0
8
0
0
8
8
1
4
32
0
1
2
8
8
8
8
8
0
8
8
0
8
0
0
0
16
16
8
0
12
56
0
1
8
8
0
4
0
0
0
0
0
0
8
0
18
18
18
16
32
8
10
10
8
8
0
0
0
0
13
0
0
1
0
0
0
0
0
0
16
0
16
0
0
0
0
0
20
0
0
0
0
16
4
0
0
0
0
0
0
0
0
8
16
4
8
0
0
16
16
16
16
8
8
0
17
17
17
1
1
1
0
10
10
10
10
10
10
8
8
8
0
8
8
0
1
1
0
4
0
0
0
12
0
0
0
8
0
0
8
24
12
4
8
8
4
8
8
1
0
0
0
16
16
16
0
0
0
0
16
16
8
0
0
2
0
0
0
1
0
0
0
60
60
0
2
2
8
0
8
8
8
0
0
0
0
0
16
16
16
1
17
4
4
4
1
1
0
16
16
8
8
8
0
16
2
2
2
0
0
16
0
16
16
8
8
8
8
8
8
8
0
8
8
8
8
8
0
0
0
0
16
16
10
0
0
16
16
0
0
0
0
28
12
0
0
0
8
8
0
0
2
0
0
2
2
2
0
8
8
8
2
0
0
0
4
0
2
2
20
20
0
17
17
17
17
16
16
1
17
2
0
0
0
8
0
0
8
8
0
0
0
16
8
0
0
8
0
2
2
0
2
4
0
0
4
16
8
8
0
0
8
8
8
8
8
8
8
8
12
12
26
16
2
2
30
0
0
8
16
0
0
0
0
0
0
0
0
0
0
0
8
12
12
1
0
0
16
25
8
0
0
0
0
0
0
3
42
0
0
0
0
0
8
0
0
0
0
0
0
0
8
8
8
0
8
0
0
8
8
8
0
0
16
16
16
8
0
8
0
4
4
16
16
16
8
0
0
0
0
0
0
0
0
4
8
0
0
8
0
0
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
17
0
0
0
0
2
12
0
0
0
8
0
8
16
1
8
0
0
4
1
0
0
0
0
0
8
8
0
4
4
0
0
0
0
4
8
16
16
0
0
8
0
49
16
16
4
4
0
0
0
0
0
16
25
0
0
0
8
0
0
0
8
1
1
24
16
33
33
33
8
8
12
12
12
0
0
8
16
16
4
0
0
8
16
16
16
16
16
8
8
0
12
0
0
0
0
0
20
20
20
20
0
1
0
16
5
8
8
8
16
1
0
0
4
4
0
0
0
0
4
4
0
0
0
16
16
2
2
2
8
8
8
8
8
8
24
16
16
16
16
16
16
16
16
8
8
8
0
4
4
16
16
16
16
0
5
8
8
8
4
0
0
2
2
0
0
1
0
0
0
0
4
8
8
8
0
16
29
20
20
0
0
23
0
0
32
0
2
16
0
0
8
0
4
4
0
0
0
4
0
0
0
0
27
27
8
1
16
40
8
8
8
8
8
8
0
16
16
16
0
0
0
25
16
16
8
0
0
0
0
0
8
8
1
1
1
0
4
0
0
0
16
0
0
8
2
16
40
6
4
33
33
0
0
24
0
0
0
0
24
0
4
0
32
4
4
0
8
0
17
4
0
0
0
0
16
16
16
16
0
0
0
4
16
0
0
16
0
0
8
0
0
0
0
16
1
8
8
0
0
0
0
0
0
24
0
0
0
0
0
8
0
1
1
8
4
4
8
4
6
32
32
32
32
32
32
0
41
8
8
0
9
0
0
0
1
1
8
4
0
0
8
0
0
0
0
16
3
0
24
8
0
0
0
6
0
0
0
1
8
0
0
8
10
8
8
0
8
8
0
0
0
8
8
16
16
16
0
8
0
0
0
16
0
0
0
0
8
8
0
0
0
4
4
4
0
0
24
16
16
4
10
0
0
0
20
20
0
0
8
8
0
0
0
8
16
20
1
0
8
0
0
0
0
0
0
0
0
8
16
16
16
16
9
2
32
32
0
16
0
0
16
16
0
0
10
10
10
10
0
8
8
8
8
0
0
0
0
0
1
4
4
4
4
0
0
8
8
0
1
1
25
26
16
16
4
4
8
0
0
0
0
16
0
0
0
0
0
24
24
24
24
8
8
0
8
0
0
0
0
8
0
0
0
4
8
4
4
5
5
5
4
4
4
32
32
0
0
16
4
16
16
20
23
0
8
8
4
8
8
0
0
24
12
0
28
26
26
0
8
4
0
0
0
0
0
20
8
8
8
8
8
8
8
0
0
0
0
8
0
0
0
16
0
8
8
0
8
16
16
16
16
16
0
0
0
8
8
0
8
0
17
17
17
1
1
28
28
28
28
28
1
1
0
16
0
0
8
1
2
2
2
0
0
8
8
0
0
2
2
0
8
0
0
8
24
8
32
16
0
0
0
20
20
20
20
20
20
20
20
0
0
8
0
0
0
16
8
8
0
0
8
16
0
0
0
5
0
0
0
8
0
0
0
16
8
0
8
4
4
4
0
8
4
8
8
8
8
8
8
0
16
16
16
16
0
0
0
0
0
16
16
0
0
0
16
16
0
4
0
0
1
0
1
0
0
0
8
2
2
8
8
8
16
16
16
16
2
2
16
16
0
0
0
0
2
0
8
8
0
2
0
0
12
12
4
41
1
8
16
4
8
16
0
2
0
0
0
0
0
16
16
16
16
16
0
16
12
8
0
8
8
8
0
8
0
8
0
0
16
16
16
56
56
8
0
0
16
8
0
0
16
8
24
0
0
0
0
0
0
16
16
16
16
16
0
4
16
0
0
0
16
16
16
0
0
0
0
0
0
8
0
0
0
8
8
8
0
0
0
0
0
0
0
0
16
0
4
8
8
8
16
16
16
0
1
1
0
0
0
0
0
0
0
4
4
4
16
0
0
0
8
16
0
16
0
2
16
0
8
8
8
8
0
0
0
0
0
0
8
8
8
8
8
0
1
16
12
12
12
0
16
0
0
8
8
6
0
16
0
16
0
0
0
1
1
40
40
0
0
8
16
25
4
4
2
2
0
0
16
16
16
16
17
24
24
8
8
8
24
24
4
20
16
20
0
0
8
0
8
16
0
18
2
2
2
0
2
2
8
8
8
8
0
14
6
5
2
8
8
2
0
16
16
0
8
8
0
0
0
0
16
0
0
0
16
16
16
16
1
1
4
1
1
1
0
16
4
4
4
6
0
32
32
25
24
0
16
0
5
19
6
6
8
2
2
0
0
8
0
16
1
0
16
8
8
0
0
48
2
8
8
8
8
8
44
4
4
0
0
8
1
16
0
8
8
0
8
8
2
8
8
8
8
16
0
0
16
16
2
10
0
4
4
4
4
0
8
8
8
4
8
16
0
8
0
0
1
1
1
16
0
24
0
0
0
8
8
16
16
24
0
0
8
37
0
8
0
0
0
0
8
8
0
8
8
8
8
0
4
8
0
0
8
2
2
2
2
0
0
0
8
8
8
8
16
4
0
8
32
0
0
0
0
0
8
8
16
0
16
16
16
8
0
0
0
0
0
0
0
16
0
10
10
10
0
0
0
8
24
0
0
0
18
2
2
2
2
0
0
8
16
16
0
0
8
0
0
3
8
11
11
11
11
8
8
8
8
8
8
8
16
16
16
16
16
8
1
0
8
0
0
0
4
0
0
8
0
8
0
0
8
8
8
8
0
0
0
0
8
19
4
0
0
0
16
0
24
24
24
24
24
24
8
8
0
16
16
8
0
0
0
8
16
8
8
20
0
0
0
0
8
0
0
2
2
0
0
0
16
16
0
8
8
20
0
0
0
0
0
32
0
16
8
0
8
8
8
8
8
8
0
4
8
24
0
16
16
8
8
16
16
0
0
4
8
8
8
0
0
0
24
8
4
8
0
0
0
8
8
0
0
8
8
8
8
8
8
0
8
2
8
0
0
0
24
8
8
30
12
8
0
0
4
16
16
0
0
4
0
8
8
6
2
8
8
8
8
8
8
9
9
8
8
16
16
16
16
16
0
0
0
0
1
12
0
0
0
17
0
0
8
0
0
0
0
0
0
4
2
2
0
0
0
0
0
24
1
0
0
0
8
1
8
0
9
0
0
0
0
0
0
0
8
0
0
0
0
2
0
8
8
8
8
16
16
4
16
4
0
0
0
0
1
1
1
0
8
8
32
8
0
8
18
2
25
1
1
0
8
0
8
8
0
16
0
8
1
8
0
0
0
0
0
0
0
1
8
0
32
22
8
8
0
0
8
8
0
0
2
2
0
0
0
16
0
0
0
16
10
10
8
8
8
16
1
1
16
16
16
16
8
0
24
0
0
0
1
1
1
0
0
0
8
8
8
8
8
20
16
0
13
13
0
16
8
8
8
8
17
24
4
0
16
12
32
0
24
0
5
5
5
16
16
0
0
0
0
2
2
2
2
0
0
0
0
16
16
4
0
0
16
16
0
0
0
4
12
8
8
8
8
0
0
16
16
8
8
0
0
0
0
0
8
0
0
0
0
0
2
2
0
17
48
48
24
4
16
16
16
16
0
5
5
0
0
0
0
8
8
0
16
16
16
16
21
8
32
0
0
0
24
24
1
16
2
0
40
1
1
0
0
8
1
0
32
4
4
8
8
0
4
8
16
0
16
0
0
0
0
1
0
16
16
0
0
0
4
4
4
8
0
8
8
8
8
8
0
4
4
8
8
8
0
8
8
0
4
4
0
16
16
0
8
8
31
4
4
8
0
28
1
0
16
16
16
18
0
0
0
0
24
24
0
0
0
40
16
2
0
0
0
8
8
8
4
0
24
32
16
16
11
56
16
16
16
0
16
0
16
16
16
0
0
8
9
8
8
16
0
0
0
0
12
0
0
4
0
0
0
0
0
16
32
24
2
2
4
8
24
0
0
4
2
2
51
0
8
0
16
1
1
32
16
0
0
0
0
0
0
0
0
0
0
3
10
5
5
5
5
0
0
0
2
16
16
1
8
0
1
16
28
28
0
8
16
1
1
0
4
4
4
0
1
8
8
8
8
8
0
22
0
24
16
24
24
8
8
8
8
32
0
0
4
4
18
18
18
0
4
0
0
1
16
16
0
0
8
8
4
0
0
16
0
0
4
4
0
0
0
0
0
2
2
2
8
0
0
0
4
4
2
2
1
0
8
32
32
0
16
2
2
0
0
1
0
0
0
16
8
0
0
8
0
16
16
18
4
4
4
0
8
16
16
42
8
2
0
0
1
0
8
8
8
0
0
8
12
12
0
0
16
16
8
8
16
1
0
2
2
2
4
16
16
0
0
0
0
0
4
8
4
4
2
8
8
0
8
8
0
0
0
0
0
8
4
4
4
0
8
0
4
8
16
0
0
18
18
18
16
0
24
19
0
0
0
0
4
8
0
16
8
2
8
0
8
0
0
8
8
0
0
8
0
12
0
0
0
23
8
16
0
0
0
16
8
0
0
0
0
0
0
0
0
0
0
2
8
0
1
1
8
0
16
8
8
8
32
8
8
0
24
8
8
8
0
0
0
22
4
16
16
16
0
0
0
0
8
8
0
8
0
4
8
8
0
0
0
16
0
18
0
0
0
0
0
8
0
0
4
0
0
0
0
0
0
0
8
8
8
16
1
8
1
4
4
8
8
8
0
0
0
0
24
0
0
8
0
0
4
8
16
16
0
0
2
2
0
1
8
8
8
8
8
4
0
0
0
0
16
8
0
16
0
0
0
0
0
0
20
20
0
0
16
4
8
16
0
2
8
0
16
16
0
0
0
0
0
17
17
17
16
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
37
37
37
0
0
0
0
0
8
0
16
0
19
17
0
0
16
8
4
4
4
42
16
0
0
16
1
0
0
0
0
0
3
24
0
16
16
16
0
0
8
8
8
6
4
16
0
0
0
0
4
16
16
16
2
26
2
2
36
8
0
0
0
1
24
8
8
8
8
0
48
2
0
0
16
0
0
0
16
0
16
8
8
8
8
16
8
8
0
0
0
48
0
0
1
2
5
0
0
0
0
0
0
28
28
0
0
0
0
0
1
0
0
12
16
16
24
32
8
8
20
8
20
20
16
0
8
0
24
8
8
4
0
0
24
24
16
16
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
1
1
0
0
0
0
0
8
0
0
0
2
2
4
0
0
0
16
0
0
0
0
0
8
8
8
8
8
0
0
0
8
8
16
2
1
18
18
0
8
16
8
16
8
0
8
8
36
36
0
0
1
12
8
0
0
0
0
0
0
0
0
0
8
16
20
38
4
8
0
0
0
8
8
0
0
8
8
8
0
0
0
0
0
0
12
1
1
16
16
16
17
16
16
16
16
16
8
0
0
0
0
4
20
0
0
0
0
0
8
8
0
24
0
2
8
16
16
0
0
8
16
0
0
16
4
0
8
8
8
0
0
2
0
4
0
0
0
8
8
16
16
8
16
16
16
16
0
16
24
8
8
0
16
16
16
9
9
1
1
1
1
1
1
1
1
0
8
8
0
0
8
8
8
8
0
0
16
16
0
8
8
8
8
24
0
1
8
8
0
0
8
0
8
8
8
8
8
8
8
8
16
0
32
1
4
0
8
16
32
16
8
0
16
16
16
16
0
16
16
0
4
32
4
8
8
0
0
16
16
8
52
0
0
4
0
0
0
0
0
2
0
0
16
0
0
16
2
8
8
8
9
32
32
0
0
0
0
0
0
0
0
16
8
16
8
16
16
16
4
0
0
4
8
0
0
0
0
0
0
8
0
8
16
8
8
0
32
0
8
0
8
8
8
8
8
8
20
0
0
4
8
8
8
8
4
4
0
8
0
8
0
8
8
16
0
1
1
17
16
1
16
16
16
8
0
8
0
8
10
32
32
32
8
0
4
22
22
24
1
32
8
16
16
16
16
0
1
1
1
0
16
16
16
16
0
44
44
0
0
8
8
8
0
24
0
2
16
0
0
8
8
16
8
0
1
4
4
0
0
0
0
17
17
16
8
8
2
4
0
0
1
16
16
16
16
16
16
0
16
8
0
8
8
0
16
24
16
8
0
0
16
0
0
0
0
4
4
0
0
0
24
8
4
4
4
4
8
0
0
8
0
0
4
0
4
16
8
0
0
0
0
0
0
0
0
0
16
16
16
16
0
0
0
8
0
0
8
18
18
18
18
16
0
0
20
1
1
16
8
0
1
9
1
2
0
8
8
10
16
8
8
8
0
8
16
0
8
8
16
16
0
8
0
1
1
53
53
8
0
0
0
0
0
0
0
16
16
16
0
0
0
0
8
0
8
16
16
8
0
0
0
24
8
3
0
0
4
0
0
16
0
2
4
8
8
4
8
8
48
48
48
48
0
8
16
16
1
1
2
2
4
4
8
4
0
0
8
0
2
8
8
0
1
1
1
0
0
32
8
8
8
8
0
0
24
0
0
4
4
0
0
0
9
9
8
0
0
16
16
8
16
0
0
0
0
0
0
0
0
2
2
0
0
4
4
2
2
0
0
0
0
8
0
1
0
0
20
4
4
0
16
16
0
0
36
0
0
0
0
0
44
0
8
8
0
0
16
0
0
1
0
0
4
0
1
0
16
16
32
0
0
0
16
0
0
16
16
24
16
16
16
17
1
1
8
0
0
9
8
8
8
16
8
8
16
16
0
8
0
0
0
0
8
1
1
1
1
8
2
8
0
8
0
0
0
0
8
8
8
16
0
0
16
0
0
9
1
8
0
0
0
16
0
4
0
8
0
0
2
2
0
0
0
8
8
8
8
8
24
16
1
1
8
8
0
1
4
4
0
0
0
8
24
0
0
0
1
1
0
0
12
8
0
8
0
4
0
4
16
8
0
0
0
32
24
16
0
0
0
1
1
0
0
32
16
16
8
8
0
16
8
8
0
16
0
8
0
8
4
16
1
0
0
0
4
16
0
0
0
0
0
0
2
8
0
0
0
0
0
8
8
9
17
17
17
0
0
24
0
0
8
0
0
0
16
8
8
2
26
26
26
2
24
1
16
16
2
2
2
2
2
2
0
0
17
0
0
0
0
0
0
2
0
8
0
16
0
16
16
4
4
4
0
8
0
0
0
0
8
0
28
4
0
1
16
16
0
0
0
16
16
16
0
17
1
0
16
8
16
16
16
16
0
0
24
0
8
8
17
4
0
0
0
0
0
2
4
4
0
0
0
57
25
16
16
0
0
4
10
10
10
10
8
8
8
8
16
1
0
0
0
8
1
26
8
8
16
0
4
0
0
0
4
8
0
0
0
8
8
0
0
1
1
1
0
0
48
16
0
8
0
0
0
4
4
0
0
0
0
36
0
0
0
32
0
0
0
24
0
32
2
2
16
0
0
0
0
8
0
16
4
6
6
0
0
1
0
0
0
12
0
0
1
1
17
0
0
0
4
4
36
4
0
0
0
0
10
10
8
8
0
16
0
0
8
8
8
8
2
8
0
4
0
9
16
0
0
0
0
0
0
0
0
8
0
0
0
8
0
12
4
5
0
0
4
0
17
16
4
8
8
8
8
8
8
0
0
2
16
0
16
0
4
0
16
16
8
8
4
0
8
8
0
16
8
8
0
0
16
1
1
1
16
8
0
1
8
8
0
0
0
0
0
0
0
0
0
0
1
8
8
22
0
0
4
4
0
0
1
0
8
8
0
8
4
8
17
0
0
0
0
0
2
16
0
0
0
0
16
16
16
16
16
16
0
0
0
0
0
0
8
8
0
0
0
4
4
0
16
16
0
0
16
0
0
28
16
0
16
0
0
16
0
0
0
0
0
8
16
0
8
8
32
8
0
0
8
4
0
0
2
2
0
1
1
8
8
8
0
0
0
1
1
2
2
5
8
0
0
0
4
0
0
8
0
0
0
0
0
0
8
16
0
0
2
0
0
0
4
8
4
0
0
0
0
0
0
0
4
1
1
0
16
8
4
24
24
0
0
4
4
0
0
8
1
1
8
16
16
16
16
16
0
16
16
8
8
8
0
8
8
0
2
2
2
2
4
8
4
25
0
2
0
0
8
0
0
0
0
0
0
16
0
0
32
0
8
0
0
4
8
4
20
20
16
16
0
48
0
24
24
0
0
8
0
0
8
0
16
0
8
8
0
0
0
4
8
8
4
0
16
8
0
8
8
4
4
4
6
6
6
6
6
6
6
24
24
11
16
16
16
16
8
16
0
8
4
4
4
0
8
7
1
1
16
16
8
8
8
8
0
8
16
32
8
8
4
4
4
0
10
8
2
8
8
8
8
0
0
1
1
9
0
8
0
8
0
0
1
1
1
8
0
0
0
16
0
32
18
18
44
4
4
8
0
0
0
0
0
0
0
0
4
4
8
0
0
0
0
0
48
8
0
2
16
0
0
0
0
0
0
8
0
0
24
0
8
6
4
0
0
16
0
0
0
9
9
4
0
0
0
0
0
8
8
8
0
1
0
8
4
0
8
16
16
16
16
4
4
0
16
16
0
0
8
0
0
0
0
8
8
8
8
8
8
8
16
24
4
4
10
10
17
0
29
13
18
4
8
8
8
0
0
0
16
13
8
4
8
8
8
8
0
8
1
4
12
0
0
0
4
4
0
0
8
39
39
0
0
0
1
0
16
18
8
8
4
0
8
0
8
0
16
16
8
0
0
8
8
8
0
0
0
0
8
8
33
33
33
0
0
0
0
0
1
8
8
8
1
3
19
3
8
24
24
8
0
0
24
0
8
2
8
8
12
4
8
8
16
16
0
0
8
4
8
0
16
16
0
0
0
1
20
0
0
0
16
0
8
0
0
8
8
8
8
0
0
2
0
16
0
8
8
4
4
0
0
0
16
4
1
7
7
7
7
0
0
0
0
0
0
0
16
16
0
0
0
16
16
0
0
0
0
18
16
16
16
16
16
8
8
0
4
0
0
1
8
8
4
8
32
8
8
8
0
1
16
16
32
0
24
24
16
8
0
17
0
16
24
16
4
0
0
2
2
2
1
0
2
8
2
0
0
8
8
8
22
2
0
8
8
4
4
0
8
8
18
24
0
0
0
8
8
8
4
8
0
4
4
0
0
8
8
0
0
0
18
16
4
4
8
16
0
8
0
0
0
0
0
0
0
0
0
2
2
8
0
0
0
0
0
9
16
16
8
0
0
24
0
0
40
8
7
16
0
6
8
0
0
0
0
32
32
32
0
0
0
0
2
0
4
0
0
8
32
10
10
0
8
0
0
16
16
24
8
8
0
48
48
16
16
16
16
0
0
16
16
16
16
0
8
8
8
8
2
8
0
0
0
8
2
2
2
0
0
16
16
16
16
0
0
0
0
34
2
2
0
8
8
0
9
0
0
0
0
0
8
34
8
1
0
0
17
0
1
0
16
0
0
0
16
0
16
16
2
2
2
1
16
0
1
1
0
0
0
2
32
13
13
4
8
8
8
8
8
8
8
8
8
8
8
0
2
0
0
0
9
9
8
8
9
16
1
1
16
16
8
8
16
0
0
0
4
4
4
0
24
24
8
0
0
8
8
8
16
0
0
0
2
30
2
8
16
16
16
0
16
8
0
0
8
0
0
4
4
0
0
4
12
8
16
0
0
8
16
0
0
0
24
8
0
8
8
8
8
40
0
40
0
0
16
16
24
0
8
12
7
3
1
1
4
0
0
0
8
5
0
0
0
0
0
49
20
16
16
8
21
21
32
0
0
18
18
16
8
8
8
16
8
0
8
8
0
0
0
0
0
0
8
0
16
0
0
0
0
8
8
0
32
8
8
8
0
6
0
16
32
0
0
0
16
16
16
16
34
32
2
2
2
4
0
0
0
0
8
24
4
4
0
0
0
0
0
16
16
16
16
16
16
16
16
16
16
0
0
4
8
8
0
0
0
0
8
8
8
8
16
16
22
0
8
2
0
0
0
0
0
48
48
16
16
16
16
16
16
0
8
8
0
0
4
4
0
8
0
8
8
8
8
8
2
16
0
4
4
0
17
17
3
3
0
0
0
0
8
8
8
8
16
4
0
16
0
8
0
0
0
2
22
22
18
18
0
0
12
0
8
0
0
0
0
8
16
16
4
4
8
0
16
16
0
0
25
24
10
0
0
0
10
10
0
0
8
8
20
0
8
8
8
1
8
0
8
8
0
0
16
0
16
16
28
28
16
16
8
0
2
2
0
0
16
0
0
0
0
0
0
8
8
8
8
8
8
1
0
16
16
0
0
24
8
0
0
0
0
0
8
0
4
0
0
0
0
16
16
16
8
0
17
0
0
32
0
0
0
0
0
24
0
25
1
0
8
8
8
8
40
0
0
4
4
0
0
0
8
1
8
0
16
1
1
1
1
1
8
8
16
16
0
0
4
4
4
0
8
16
16
8
8
8
8
1
0
0
0
16
17
17
17
0
0
0
0
0
0
28
8
0
24
0
0
0
0
6
0
0
16
4
8
8
8
8
0
24
24
0
0
16
16
10
8
0
1
8
16
16
0
33
33
24
0
40
0
0
0
0
0
0
12
0
0
0
0
0
0
16
16
16
0
1
1
8
16
16
16
8
8
0
0
2
8
16
16
16
16
16
16
16
16
16
16
0
0
16
1
9
24
0
0
0
0
8
0
0
6
17
17
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
8
8
8
8
8
8
8
0
0
0
0
2
8
16
16
16
16
16
8
0
0
1
0
0
0
16
16
8
0
0
32
0
0
0
0
3
3
3
8
1
8
0
0
0
16
20
0
0
0
0
0
0
0
4
4
4
4
0
0
8
8
0
8
0
0
4
4
4
0
7
0
0
0
16
16
16
16
12
16
1
8
0
8
0
16
16
16
16
16
12
12
12
12
12
12
12
12
12
16
0
2
2
6
8
0
0
0
0
0
0
16
0
4
0
0
0
8
8
8
8
0
0
0
0
16
16
16
16
20
16
0
0
0
4
4
8
0
0
0
0
0
8
16
8
8
24
24
2
0
16
8
8
8
0
8
2
8
16
8
0
0
0
8
0
4
0
8
8
16
16
0
1
0
0
8
8
8
9
0
4
4
8
4
1
0
0
16
16
16
2
2
0
4
0
0
0
32
0
2
8
0
0
0
8
0
8
0
0
8
8
0
0
16
12
8
8
4
4
4
16
8
0
8
8
8
8
26
0
0
0
4
4
8
8
0
8
0
8
8
0
0
0
8
0
0
8
1
0
16
8
8
8
16
4
0
0
0
0
2
2
2
0
0
16
0
0
0
0
24
16
0
0
50
0
0
0
0
32
0
0
16
16
8
0
1
1
0
0
1
8
24
0
0
1
8
0
0
0
4
16
16
0
0
1
1
0
0
18
18
18
8
8
0
16
16
16
2
8
0
21
21
1
0
0
0
8
8
8
0
0
0
16
0
0
0
0
0
32
32
0
0
0
20
16
16
0
0
16
0
0
0
0
4
4
8
8
8
1
8
8
1
0
0
0
0
4
8
5
5
0
1
0
8
18
26
26
4
4
4
0
24
8
0
0
16
0
0
56
56
0
0
16
24
8
8
8
0
0
0
0
0
0
0
0
0
0
4
0
0
16
24
24
24
8
4
20
8
0
17
0
0
0
1
1
0
0
0
4
0
0
0
8
2
2
8
8
2
2
16
16
16
0
0
0
0
0
0
0
8
4
0
0
0
0
0
0
20
20
0
0
8
8
0
0
0
0
0
0
0
0
0
20
20
8
8
0
0
0
8
16
0
0
16
2
2
2
2
1
1
1
1
1
2
2
2
16
16
16
16
16
16
0
0
0
0
0
0
8
8
8
8
0
0
0
0
0
5
5
5
0
0
0
0
0
0
0
8
8
0
0
0
8
0
8
8
0
0
0
8
8
4
12
0
0
0
0
0
0
0
1
1
4
4
2
16
0
0
0
0
0
0
0
0
4
0
0
8
6
6
0
0
16
0
0
0
16
16
16
0
8
8
0
8
0
0
8
8
4
4
2
2
2
4
0
0
0
0
16
16
1
0
24
24
27
27
8
8
0
8
0
0
8
8
8
0
8
8
8
0
0
0
16
8
12
0
12
0
0
0
2
0
8
8
8
0
4
4
0
0
8
0
1
18
0
0
0
0
4
4
0
16
8
32
0
0
0
4
0
0
8
8
0
0
0
0
8
8
0
0
8
0
0
0
0
16
16
16
16
1
0
0
16
0
0
0
16
16
24
24
16
0
4
8
8
8
0
8
0
0
0
16
16
2
2
2
8
4
0
0
16
16
16
16
16
16
2
2
8
8
42
0
0
4
0
16
16
4
8
8
0
0
2
8
0
8
8
8
8
4
4
0
16
0
0
0
16
0
8
16
4
8
8
0
0
0
1
1
0
8
0
0
20
20
20
8
8
4
8
0
0
4
4
0
0
4
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
24
4
4
32
1
0
0
0
16
16
16
16
8
12
4
0
0
0
12
8
0
0
0
0
0
28
24
4
0
0
16
0
1
1
8
0
0
8
2
32
1
8
8
8
0
0
8
1
8
32
8
0
8
8
16
8
8
4
32
0
8
0
8
8
0
8
0
16
16
0
0
0
0
4
8
8
8
16
8
8
4
0
15
16
16
16
16
8
0
4
4
8
8
8
8
4
0
0
8
20
20
1
16
16
8
8
8
24
16
8
8
8
0
0
0
2
0
16
6
8
8
8
8
8
0
0
17
17
16
8
16
0
0
0
0
0
8
8
16
0
10
8
0
8
0
0
0
0
0
0
8
0
0
0
0
32
2
2
1
1
1
1
16
16
16
8
8
8
0
0
0
0
1
1
0
4
0
0
0
8
17
0
0
0
0
16
4
4
16
0
0
0
0
0
0
8
20
6
8
4
4
9
9
32
16
16
0
8
0
0
16
16
16
2
8
8
0
1
1
20
20
0
16
4
8
8
8
8
8
8
0
0
0
0
8
8
8
8
0
0
0
0
1
4
4
4
4
8
0
0
8
8
0
0
0
8
0
0
0
16
19
4
4
4
4
4
16
16
16
0
0
0
0
2
0
0
8
4
4
25
0
2
16
16
0
0
8
8
16
33
16
16
16
0
18
0
16
0
0
0
0
0
16
8
0
0
0
0
4
44
44
2
16
16
0
8
8
2
2
0
2
20
16
8
8
16
8
4
4
0
16
16
16
0
0
0
0
0
16
4
16
16
16
0
1
1
1
1
0
8
8
9
2
12
12
8
8
29
16
16
8
0
0
8
8
8
8
2
2
8
16
16
8
24
16
16
0
0
0
0
0
8
8
2
0
0
0
0
0
0
1
2
2
16
8
8
8
8
8
8
2
8
24
8
8
8
16
16
8
8
20
28
28
4
8
8
0
0
0
0
0
48
8
0
0
0
0
1
9
8
16
16
0
2
2
1
2
0
0
0
0
0
0
8
0
33
16
16
16
0
16
8
17
17
17
17
17
16
16
3
3
0
0
4
4
20
4
8
0
0
0
0
8
0
0
16
16
0
8
0
0
0
0
8
16
8
8
16
16
16
16
16
16
16
16
16
16
16
16
0
0
0
0
0
8
0
16
1
16
8
8
8
8
8
8
8
8
8
1
1
1
16
0
2
2
8
16
0
16
16
8
8
0
2
0
24
8
0
0
0
0
0
0
0
0
6
8
0
0
0
0
0
0
2
2
0
9
0
16
0
1
0
0
0
0
0
0
25
0
0
0
0
16
17
1
4
16
8
8
1
0
0
8
8
24
8
16
8
8
8
8
8
16
0
8
8
8
8
9
0
0
0
0
0
0
0
8
8
24
1
0
0
0
0
0
1
1
16
0
8
0
8
8
8
8
8
8
0
18
18
0
0
16
0
16
8
0
8
40
0
16
8
4
4
4
10
10
10
0
8
8
24
17
0
16
0
0
8
8
8
8
0
1
8
8
0
34
8
8
4
24
3
0
0
2
2
0
1
4
0
0
52
52
0
0
0
0
0
0
0
2
0
8
16
8
0
0
0
8
8
8
8
8
4
17
0
8
0
0
8
8
18
18
8
8
16
10
0
4
0
16
0
1
1
1
1
16
0
24
24
0
8
16
24
0
8
0
0
0
0
0
0
0
16
17
0
0
16
8
1
0
0
0
0
4
16
0
0
0
8
8
0
0
0
16
16
8
0
2
8
0
0
0
0
52
52
0
0
8
8
0
1
0
0
0
16
8
8
8
16
18
18
0
0
16
0
0
0
0
16
2
2
2
0
20
8
0
0
0
0
0
0
0
0
0
1
16
16
16
8
0
16
16
16
16
16
16
8
8
8
0
8
8
8
8
8
16
0
0
16
0
0
0
4
0
0
0
20
0
24
24
16
2
8
8
20
16
16
16
1
16
16
0
8
2
2
8
0
2
0
0
0
0
0
0
0
0
0
0
8
8
2
32
16
0
16
16
0
8
1
16
16
16
8
8
0
2
8
0
24
0
24
0
4
4
4
0
8
8
8
0
16
1
16
16
16
0
16
16
8
8
8
8
8
16
16
16
16
1
0
0
8
8
8
16
8
0
0
0
16
0
8
0
0
2
28
4
0
0
0
0
8
8
4
16
0
0
8
4
8
0
16
16
8
8
8
48
8
2
0
0
0
0
0
0
4
0
0
0
0
0
4
0
2
2
8
8
10
2
16
8
8
5
0
16
16
0
24
24
4
4
16
1
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
0
0
0
0
0
8
0
0
0
0
20
0
0
8
8
0
0
0
0
0
4
1
1
24
0
33
0
8
8
8
8
8
0
62
8
8
4
1
0
0
4
4
16
16
16
16
16
16
0
0
4
0
0
0
0
1
8
16
17
17
8
0
1
8
0
18
18
8
0
0
0
0
16
16
0
0
8
0
8
8
16
16
8
8
8
0
0
0
4
4
0
0
0
40
40
8
1
1
8
16
16
0
0
0
0
0
0
4
4
2
1
8
0
1
1
0
17
17
4
0
0
0
24
16
0
8
0
8
8
8
8
8
2
2
0
16
16
0
2
2
2
16
8
0
0
0
8
8
16
16
16
16
8
0
8
8
2
0
8
8
32
0
0
4
0
16
2
0
0
0
34
0
8
0
0
8
8
8
8
0
8
0
16
1
0
13
0
0
4
0
28
28
28
16
0
0
8
0
0
0
8
2
8
0
2
0
0
0
4
0
8
16
16
0
0
8
0
8
0
0
0
8
2
8
0
0
0
16
25
25
16
16
0
1
8
8
16
16
16
0
2
2
0
0
0
16
16
16
16
8
8
8
0
0
0
2
16
16
16
16
0
8
0
16
2
2
18
2
2
0
0
8
8
8
16
16
16
16
16
16
8
8
1
1
1
1
0
4
4
1
1
8
0
8
4
0
0
0
8
8
0
0
1
0
0
8
0
0
0
0
16
24
0
0
4
0
8
2
2
0
2
0
0
0
16
4
0
0
0
0
2
4
2
2
1
16
0
0
8
8
20
8
8
0
8
8
8
0
0
16
8
8
8
0
8
8
8
0
8
0
32
0
16
0
0
8
4
0
4
8
0
0
0
8
8
8
12
1
16
8
8
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
32
17
0
0
0
16
0
0
0
12
4
8
8
8
8
0
0
0
4
32
32
0
0
0
8
0
16
16
16
16
16
16
0
0
8
16
16
17
17
17
0
16
4
4
4
4
0
0
0
0
0
0
8
4
8
0
0
0
0
24
0
0
0
0
0
16
0
0
0
8
8
0
0
8
16
8
0
0
0
0
0
16
16
0
0
0
19
4
0
0
0
0
0
41
41
41
8
8
0
0
0
0
0
0
0
0
20
0
0
4
4
0
0
8
0
0
16
0
1
0
8
8
0
0
0
0
1
16
0
0
0
0
16
0
0
16
0
8
8
8
1
1
1
0
8
0
0
8
0
16
0
0
0
1
1
0
16
16
16
16
3
8
0
0
0
0
0
2
8
0
0
0
0
16
16
2
2
8
0
0
0
0
1
24
0
16
1
4
4
0
16
16
16
1
1
16
8
8
1
0
0
8
1
1
0
0
4
0
0
0
0
0
0
0
20
8
8
8
8
8
0
32
0
12
0
8
9
0
8
8
24
0
0
0
0
1
16
16
16
16
8
8
8
8
4
4
16
4
4
0
0
0
0
0
4
8
8
4
12
8
16
8
8
2
2
16
0
0
12
0
0
16
8
8
8
0
0
4
0
0
4
4
0
9
0
0
22
5
8
16
0
0
1
1
2
0
0
2
16
6
6
0
2
2
1
1
16
0
6
0
4
4
16
16
0
0
0
4
4
24
8
8
0
0
0
0
8
24
24
16
24
0
4
0
0
4
8
8
16
4
4
4
4
8
0
16
2
8
16
24
8
0
0
16
8
8
8
17
1
1
1
4
4
0
0
1
1
1
1
8
16
8
1
8
0
1
1
0
0
0
0
4
16
0
0
0
0
0
0
0
16
8
0
0
16
2
2
6
4
8
8
0
0
0
1
0
0
14
26
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
8
8
0
0
2
2
16
0
1
0
0
0
0
0
0
8
4
4
2
4
4
0
4
4
20
0
8
8
32
0
24
0
0
0
0
0
0
17
16
0
0
0
0
4
12
8
0
0
16
16
16
16
16
16
4
4
32
16
16
16
16
1
1
8
8
8
18
8
32
16
0
0
0
1
1
0
8
8
8
0
0
40
16
0
0
0
0
0
24
24
2
2
2
0
0
8
0
16
16
16
8
8
16
20
4
4
0
0
0
16
0
8
0
8
0
0
0
2
2
0
4
4
4
0
0
4
4
0
8
0
0
0
0
4
16
24
0
0
0
26
1
0
9
0
0
0
2
16
16
0
0
18
0
16
1
1
1
1
1
1
0
0
2
2
2
0
0
0
3
0
0
8
8
31
8
8
16
16
2
10
8
8
4
32
32
0
4
4
10
8
8
0
8
8
0
0
0
0
0
16
0
16
16
16
32
32
8
0
0
0
0
0
0
0
8
0
0
0
16
0
0
24
8
8
0
8
16
16
0
0
16
18
16
0
0
2
2
2
2
2
4
24
0
0
24
8
0
0
0
0
0
0
0
8
8
0
8
0
8
8
4
4
4
4
0
0
0
0
0
8
1
8
8
8
0
4
59
8
0
0
8
1
8
0
4
20
0
0
0
8
0
24
32
57
57
16
0
0
8
16
16
0
2
2
2
0
0
8
17
17
17
0
0
8
0
0
0
16
0
0
0
8
1
1
0
0
2
16
52
0
0
8
8
8
8
0
0
2
0
8
0
24
8
0
2
0
16
16
0
16
16
1
1
8
0
8
0
2
0
16
8
16
16
16
16
1
1
32
0
5
33
8
0
0
0
0
8
8
0
8
0
4
24
24
0
2
2
2
2
0
0
0
8
4
8
16
1
0
8
24
24
24
0
0
0
0
16
16
16
0
1
8
8
5
0
16
33
9
0
0
0
0
0
0
0
0
8
0
0
0
16
16
16
4
0
0
16
8
8
2
8
16
0
0
1
5
0
0
1
1
1
8
8
32
32
8
8
0
0
0
1
24
0
0
8
8
8
0
0
0
0
0
16
0
0
1
19
56
0
2
2
4
8
32
0
0
0
0
0
0
0
29
29
29
29
29
29
29
29
29
29
29
29
29
8
2
0
0
0
2
16
16
16
8
16
0
0
8
0
0
0
0
8
0
16
1
4
1
0
0
16
8
32
0
0
1
1
1
0
0
0
0
0
2
2
0
0
0
0
16
0
0
3
0
0
0
16
0
0
0
0
0
0
0
16
8
8
4
0
8
8
0
18
18
18
2
2
0
0
8
8
8
8
8
8
0
8
8
8
2
0
8
24
0
0
0
16
16
0
0
0
0
24
0
4
4
25
0
1
0
0
0
8
8
8
0
8
8
8
16
0
8
24
0
0
0
0
0
8
4
8
8
8
1
2
2
0
0
0
0
0
8
16
16
4
4
16
16
16
16
16
16
0
0
1
0
0
8
0
12
0
0
16
8
0
0
0
0
0
0
0
8
0
2
0
0
0
8
0
4
0
0
5
5
0
0
8
8
0
0
8
0
0
0
0
0
12
0
0
0
0
0
0
0
4
0
0
26
26
26
26
26
20
0
0
0
16
0
16
16
16
0
0
12
12
0
16
16
0
8
0
22
22
22
22
22
8
1
16
16
8
8
0
0
0
0
0
32
8
8
0
62
62
62
2
2
0
5
8
0
1
1
16
0
8
8
8
0
20
20
20
20
0
8
0
0
2
0
0
32
32
32
0
0
8
0
0
16
8
8
0
10
1
0
16
16
16
8
17
0
0
0
8
8
0
0
8
4
0
0
12
52
52
4
4
8
8
0
0
45
45
0
24
16
4
4
32
0
0
2
9
20
20
8
2
2
2
8
8
8
8
0
4
4
0
0
0
4
0
16
16
0
0
0
4
4
4
0
0
8
0
16
0
4
0
33
0
0
8
8
8
16
0
0
8
0
0
8
8
8
4
4
18
0
0
0
0
8
8
0
16
0
8
2
1
0
16
4
4
0
0
16
16
16
16
0
16
16
8
24
8
8
8
16
0
4
16
8
8
8
0
0
16
1
12
8
0
8
0
16
16
0
0
0
0
16
8
8
0
0
0
8
24
1
0
8
8
8
1
1
0
0
0
8
8
8
0
0
0
0
2
8
33
0
1
8
8
8
8
8
24
24
24
0
2
0
2
2
8
8
10
8
16
0
0
0
0
0
0
8
0
32
16
1
2
2
2
2
2
2
2
2
2
2
0
0
0
0
8
8
0
8
16
16
16
16
4
0
8
8
8
8
0
40
32
32
0
0
8
8
8
4
8
0
16
8
8
0
0
8
8
16
24
0
8
8
1
16
16
0
0
0
1
1
8
8
8
8
8
0
0
24
4
4
16
16
2
0
8
8
4
4
4
4
0
0
18
0
8
8
0
0
8
0
20
17
17
28
0
0
0
16
0
0
0
2
8
16
0
0
32
32
0
0
16
16
16
0
0
20
0
16
0
8
24
24
0
4
0
0
0
2
2
2
0
4
8
8
40
8
8
8
0
4
4
0
0
0
16
16
4
2
2
0
1
1
1
1
0
0
0
0
1
1
24
1
16
16
6
6
4
4
0
0
0
0
8
0
0
0
59
59
0
8
9
0
24
24
0
2
0
0
8
8
0
16
12
0
4
4
8
8
8
0
17
8
8
8
0
0
0
0
0
8
8
16
0
0
8
16
0
0
0
0
8
16
0
0
0
4
0
0
0
0
0
8
4
16
16
2
2
0
8
0
8
8
0
0
0
4
0
2
8
0
0
0
0
0
8
0
4
4
4
8
8
0
0
6
24
0
8
8
16
16
16
0
0
0
0
8
16
0
0
32
0
12
48
48
0
0
0
0
0
0
0
16
0
0
0
4
1
16
8
8
8
4
8
16
1
0
8
0
0
4
4
4
4
4
0
4
11
0
0
1
24
33
4
0
0
20
16
16
17
16
16
2
0
0
2
24
0
8
8
8
16
8
4
0
0
0
0
4
4
4
0
8
0
2
0
16
8
1
0
8
52
48
48
16
0
8
8
14
4
0
0
8
8
0
16
17
4
12
10
0
8
0
0
8
16
16
4
1
1
1
1
0
8
8
8
8
0
0
0
2
2
4
14
14
8
0
0
0
8
16
0
8
0
0
1
0
0
0
0
0
0
0
20
0
0
8
8
16
16
8
0
0
0
0
8
8
0
16
16
4
16
16
0
8
8
16
1
0
1
1
8
18
8
8
9
0
2
2
2
8
0
0
0
0
0
8
0
4
4
0
0
8
8
8
0
4
4
4
0
0
8
0
0
0
16
8
0
0
0
0
0
8
0
27
0
0
0
16
0
4
4
0
0
0
16
0
8
0
26
18
0
0
0
16
0
12
4
4
8
8
0
0
0
16
0
4
0
0
0
6
8
0
8
8
0
16
16
8
1
0
16
8
8
8
2
0
1
1
16
8
4
0
0
4
4
2
12
0
0
16
16
1
0
0
8
8
16
2
2
1
1
0
0
16
4
12
0
0
12
16
4
4
8
0
0
16
16
16
0
8
8
16
16
0
0
0
0
0
0
8
16
16
0
0
8
8
0
8
8
8
0
4
4
4
16
8
0
0
0
0
8
0
8
4
4
8
8
8
16
16
2
0
16
16
16
16
16
8
0
8
8
0
0
16
1
8
0
32
32
0
48
32
4
16
0
16
0
0
8
8
0
0
2
0
8
8
4
0
32
32
0
16
16
16
16
16
16
16
0
1
8
0
8
8
0
0
0
26
0
0
16
8
8
4
0
0
0
0
0
0
0
0
2
2
1
16
16
16
16
16
8
8
16
16
0
24
24
24
8
1
1
0
48
8
0
0
0
8
8
0
1
8
8
8
16
8
0
0
0
0
8
12
0
0
0
0
0
1
1
1
48
48
16
4
4
0
0
0
0
0
0
8
0
0
0
8
8
8
8
0
8
8
32
8
0
4
4
20
4
0
8
16
2
0
0
0
16
16
1
0
0
8
0
0
8
8
8
8
16
8
16
16
0
1
0
8
8
8
8
8
8
8
8
0
0
0
0
0
16
16
0
0
0
0
0
16
0
0
8
8
8
8
8
8
8
0
8
8
8
8
8
2
2
2
2
1
0
0
0
32
16
32
0
8
16
0
0
8
8
2
8
0
8
18
0
0
0
1
0
0
0
8
0
16
0
1
1
1
8
40
4
0
0
17
0
16
24
24
16
0
0
0
24
8
8
8
0
24
16
1
0
0
0
22
22
0
12
8
8
8
0
16
1
0
0
8
0
0
1
0
20
0
0
8
0
0
16
16
1
16
16
16
16
4
0
18
0
2
2
0
0
0
0
0
16
16
8
8
0
16
16
16
16
8
8
8
0
0
1
0
8
0
0
0
0
0
0
0
16
0
0
0
0
4
0
0
8
8
8
8
0
0
16
0
10
10
10
0
16
8
0
8
8
9
0
1
1
1
16
16
0
8
8
0
0
8
2
2
20
0
0
4
4
16
16
16
16
0
8
10
0
1
3
1
1
8
0
0
0
0
10
10
0
0
0
0
0
0
0
1
1
1
1
0
0
1
8
8
8
8
36
0
4
0
4
4
0
0
0
4
4
52
52
0
8
10
16
16
16
16
0
0
0
16
4
0
8
8
0
0
0
0
0
16
16
16
4
4
0
4
4
4
0
0
0
18
18
18
8
16
16
0
0
1
8
0
0
0
0
16
0
0
0
0
0
2
2
2
2
2
2
16
16
17
17
17
0
32
0
0
0
0
0
0
0
0
1
16
16
16
24
8
8
0
0
0
0
16
16
16
16
8
0
12
0
0
0
0
0
0
2
8
8
1
1
8
16
16
1
0
24
8
16
2
16
8
8
4
16
20
0
0
0
0
0
0
4
24
0
0
0
2
0
8
8
8
0
0
0
0
8
0
0
2
0
0
0
0
0
0
8
8
0
8
0
0
0
0
4
0
0
0
1
8
8
8
16
16
4
1
1
0
0
0
16
0
1
1
12
14
12
12
2
2
12
0
35
1
2
4
4
4
0
0
4
8
8
0
4
12
0
0
0
0
10
10
10
10
12
12
32
8
2
1
1
8
0
0
0
0
16
16
0
0
0
0
0
0
16
16
0
24
16
0
0
8
2
1
1
0
0
0
8
8
0
0
16
8
8
0
0
8
8
1
0
16
0
8
16
16
16
8
8
16
16
0
0
0
8
8
0
6
6
0
0
0
0
0
0
0
0
8
0
8
0
0
1
0
0
0
25
0
0
1
0
0
0
0
9
9
9
9
9
9
8
0
0
0
0
4
32
32
16
1
1
8
8
8
8
8
0
0
0
0
0
0
0
0
16
1
1
1
0
0
4
4
0
0
32
8
0
0
20
8
8
8
20
20
20
0
25
25
16
0
24
8
8
7
0
0
0
0
8
2
8
8
16
16
0
4
8
0
8
16
0
0
16
8
8
8
0
0
0
0
0
0
0
0
4
0
37
37
16
8
1
1
8
0
8
8
8
8
18
1
8
0
8
16
16
16
16
1
8
8
8
16
16
0
0
0
0
2
2
0
0
24
0
0
8
4
16
16
4
49
4
0
1
1
8
1
23
0
0
4
4
0
8
0
28
16
16
4
0
0
40
0
2
2
2
2
2
0
16
16
4
0
0
1
1
2
0
0
0
0
0
0
1
1
8
0
2
0
0
16
16
16
0
8
8
8
8
8
16
16
16
16
0
58
0
1
16
4
0
8
8
0
0
4
4
0
0
0
8
8
8
8
8
4
4
16
4
4
1
0
8
0
0
8
8
0
0
8
0
0
0
0
0
0
8
8
0
16
8
8
8
8
8
0
0
0
0
0
0
0
0
28
16
0
24
24
8
8
8
8
8
8
0
8
0
0
16
4
4
4
4
4
0
8
0
4
1
1
32
0
16
0
0
0
2
4
8
8
1
1
16
16
0
0
0
8
8
0
0
0
16
0
0
0
4
8
8
1
4
0
24
16
4
16
16
0
2
2
0
0
0
16
34
34
16
16
16
0
16
0
0
0
0
0
0
0
16
16
16
8
0
0
0
0
16
16
16
4
8
0
0
8
8
16
0
8
8
0
0
16
0
0
0
0
0
17
17
0
1
1
0
4
8
0
0
1
1
4
8
8
8
0
0
0
0
0
9
0
0
0
8
8
0
48
1
1
0
8
0
10
28
28
28
8
0
9
8
48
0
0
0
0
0
16
16
24
24
8
1
0
0
8
0
8
8
8
16
16
16
16
16
16
0
1
1
8
1
1
0
4
8
8
16
16
16
16
0
0
0
0
16
16
0
0
8
0
0
16
16
29
29
0
8
8
8
0
1
16
0
8
8
24
2
0
0
0
32
24
0
0
8
0
16
8
8
16
18
8
8
8
8
8
0
0
0
0
0
0
2
12
0
0
12
12
0
0
8
0
16
0
8
8
15
0
0
0
8
8
8
8
1
0
0
0
8
0
0
8
8
12
18
0
16
0
0
1
1
1
16
0
0
0
0
0
0
4
4
4
4
4
4
0
0
0
8
8
9
24
8
0
0
0
8
0
0
0
8
0
0
16
0
2
0
1
0
0
0
0
2
16
32
4
4
4
4
4
4
1
8
0
0
0
0
8
8
8
8
8
0
0
8
8
8
0
1
1
2
0
0
16
16
0
0
8
8
8
0
16
16
16
16
0
0
4
8
2
2
5
4
8
8
0
0
0
8
8
8
0
0
8
8
32
32
4
0
16
4
8
8
0
0
0
8
2
2
8
32
32
0
8
0
0
16
16
0
8
8
8
24
8
4
8
8
8
2
0
42
4
4
4
16
16
8
8
17
24
0
0
0
0
0
0
8
8
0
0
0
16
0
4
8
0
0
0
1
0
4
4
0
0
0
0
16
0
18
0
0
0
0
16
2
8
56
16
0
0
8
4
8
0
0
16
16
0
16
16
24
24
18
16
16
16
8
8
40
32
0
2
0
0
0
0
16
16
0
0
0
16
0
4
8
0
0
0
8
0
1
0
0
16
16
16
0
8
8
8
0
0
1
0
0
0
8
0
1
2
4
4
0
0
0
0
18
0
0
0
24
24
0
8
8
0
0
0
9
1
1
0
16
0
0
16
16
26
26
0
6
16
16
16
0
8
8
8
16
16
8
0
24
0
0
8
8
8
0
0
4
16
16
43
43
43
1
0
0
0
16
16
0
0
4
2
2
2
0
16
16
8
8
8
8
8
0
0
0
0
16
8
8
8
0
16
0
0
0
0
10
10
0
0
0
0
8
0
0
0
0
8
8
8
8
8
16
2
1
0
0
8
8
8
44
44
0
0
0
0
8
8
56
16
0
0
0
0
8
8
0
16
0
0
0
8
8
0
9
9
1
8
8
8
1
4
4
8
8
2
24
0
8
16
16
0
0
0
0
5
0
4
4
16
16
0
8
0
0
0
0
0
8
0
0
0
0
0
0
8
0
8
8
8
0
16
0
0
0
0
0
4
16
8
16
0
10
10
0
24
8
8
0
0
0
0
0
0
0
8
8
39
16
8
0
0
0
2
1
8
8
8
0
0
16
16
8
0
0
0
16
1
0
0
8
16
16
0
0
18
8
8
8
2
0
0
8
8
16
8
24
8
2
8
0
0
4
8
8
0
4
0
8
16
0
0
8
8
8
0
0
24
20
0
8
0
8
1
0
0
0
8
0
16
8
7
24
16
49
8
1
0
0
0
0
16
0
0
16
16
8
24
24
2
2
2
2
16
0
0
8
0
17
0
0
0
16
8
0
0
0
0
0
0
8
2
2
2
2
8
4
0
0
0
0
2
0
4
4
0
0
0
48
8
1
0
0
2
8
33
33
8
8
8
8
8
8
0
0
0
0
0
0
0
0
8
16
8
0
0
0
16
9
8
16
16
24
16
16
16
0
0
8
0
4
4
0
0
0
0
18
12
12
12
8
8
8
24
1
1
0
0
4
0
16
16
16
0
24
0
8
8
16
0
0
4
1
16
16
0
0
0
0
0
0
16
0
0
24
0
8
0
8
8
9
9
16
16
0
0
0
0
16
16
16
16
16
16
8
8
8
0
4
4
4
4
4
4
8
8
8
16
0
8
16
4
0
4
0
8
0
8
0
0
0
8
4
4
4
16
4
4
4
8
8
8
2
8
8
4
1
1
1
0
0
9
0
0
16
16
2
16
0
0
8
8
8
8
8
8
8
8
8
8
17
8
0
0
0
0
8
4
4
4
4
4
4
4
4
0
0
0
4
1
1
32
0
0
0
0
0
0
8
0
0
0
9
9
0
10
2
0
0
0
0
0
0
0
0
8
16
16
6
2
2
0
0
0
8
52
0
8
16
16
16
0
1
1
1
1
8
8
0
0
12
0
8
8
0
4
4
16
16
4
0
0
0
0
0
0
0
0
0
41
4
4
4
4
20
20
0
0
16
0
8
0
32
32
20
4
16
0
2
8
16
8
0
0
0
0
0
0
0
0
0
0
0
0
8
1
4
16
2
2
35
0
0
1
0
24
0
1
8
8
8
8
16
16
0
4
0
0
32
32
8
4
4
4
0
0
8
24
1
0
0
0
16
16
16
0
8
8
8
8
0
24
24
0
0
4
0
8
48
8
0
8
8
18
0
0
0
0
4
16
16
0
8
1
8
8
8
0
0
0
8
8
8
0
8
8
1
0
0
8
8
8
0
2
0
0
1
1
24
24
0
16
0
8
10
4
4
4
0
26
26
26
26
16
0
0
0
16
8
4
0
4
22
0
0
16
1
1
0
2
2
0
0
0
0
1
8
0
4
4
4
18
19
0
1
8
8
8
0
48
48
0
0
0
0
0
0
0
0
8
8
16
16
8
8
8
8
8
8
16
16
0
0
0
0
4
8
0
2
2
2
8
0
24
24
0
0
0
8
5
16
16
16
16
32
0
0
0
0
8
0
8
8
0
0
0
8
2
0
0
8
8
0
16
20
2
2
0
0
0
8
16
16
16
0
1
8
16
16
16
4
40
40
2
19
19
0
0
0
8
0
8
0
8
0
0
0
2
0
16
0
0
0
0
0
0
16
16
2
0
0
8
0
0
8
8
8
0
0
0
4
4
4
32
32
32
8
8
16
0
0
0
8
8
4
8
8
8
8
4
4
0
0
0
0
8
0
4
4
4
4
0
8
4
4
8
0
0
8
8
8
8
0
8
8
8
0
32
8
8
8
4
4
4
4
4
16
16
16
8
8
32
32
0
8
0
0
12
1
1
8
0
8
0
1
8
8
0
16
8
0
0
0
0
0
0
0
0
32
32
8
0
8
4
4
4
0
0
17
17
17
17
0
0
8
4
0
8
0
0
0
8
8
8
2
2
8
8
10
49
0
16
16
16
0
0
20
20
0
16
16
0
4
0
0
0
8
0
4
8
0
5
1
8
0
4
16
8
0
0
32
0
20
4
0
16
18
0
4
16
16
16
0
0
24
0
0
0
8
8
8
4
4
4
8
4
0
0
0
0
0
8
0
0
16
16
16
16
16
2
0
8
8
4
0
1
1
4
8
0
0
0
8
8
8
16
16
8
8
8
8
8
8
8
0
4
4
8
8
8
8
2
0
16
17
17
1
1
0
8
16
16
16
0
4
0
1
1
8
8
8
8
0
16
4
1
0
4
8
8
8
1
16
8
8
8
0
0
8
0
0
1
0
8
10
0
0
16
16
0
0
0
1
8
16
0
8
8
0
16
8
8
0
0
0
0
16
17
17
17
2
8
0
4
0
0
1
0
0
16
16
0
0
49
49
49
49
32
32
0
0
0
0
0
26
8
4
0
0
20
4
0
0
0
0
0
0
0
0
16
4
0
8
4
0
9
0
4
22
22
1
1
2
0
0
8
8
16
0
2
8
8
0
1
1
1
1
1
0
4
0
0
0
8
32
0
0
0
0
0
12
8
16
8
24
16
0
0
0
0
0
0
0
24
0
16
0
0
3
3
21
0
0
0
18
4
0
0
8
8
8
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
48
48
48
48
48
2
8
4
4
4
4
0
1
0
8
0
16
16
16
8
0
0
8
0
0
0
0
4
16
16
0
0
0
0
8
0
8
8
4
8
4
0
8
0
0
10
0
0
8
2
17
8
8
8
1
0
8
8
0
0
8
8
0
16
8
16
16
16
0
24
0
4
0
1
8
8
8
8
8
0
0
0
18
18
0
0
8
8
8
8
0
0
0
16
16
0
0
0
6
3
0
0
16
8
0
8
8
8
0
16
16
8
4
0
0
0
0
0
0
0
0
0
8
8
0
0
0
8
8
4
4
4
4
4
4
8
8
8
8
0
2
34
16
8
0
0
8
8
0
0
0
0
0
0
0
24
0
30
6
6
8
0
0
0
0
0
0
0
0
0
0
1
0
0
8
16
0
0
8
1
8
8
8
15
16
8
8
16
0
32
24
24
8
4
4
0
0
0
0
0
0
8
60
60
60
0
16
16
0
0
24
4
32
4
8
0
0
0
0
2
17
8
0
0
0
0
8
0
0
1
0
0
0
0
8
12
40
4
4
4
4
4
4
4
4
0
2
2
2
0
0
0
0
0
0
0
0
16
8
8
16
0
0
2
2
8
0
0
0
0
8
25
0
0
0
0
4
16
16
0
0
0
0
8
8
8
16
8
8
9
9
32
32
32
32
8
8
6
0
0
0
0
0
0
8
8
2
2
0
2
0
0
1
0
0
0
0
16
16
0
0
0
8
16
16
0
8
8
32
0
8
8
0
16
16
0
0
8
8
0
0
0
24
2
36
0
8
4
4
8
16
16
0
0
0
0
8
13
8
0
8
0
0
8
8
16
0
0
0
12
0
0
0
0
8
4
8
8
1
16
16
1
0
0
0
0
0
4
4
4
16
16
0
0
0
0
0
0
20
16
24
0
13
0
0
0
16
16
16
16
59
59
8
0
1
0
4
0
3
3
48
58
0
0
1
1
0
16
0
0
0
32
0
9
9
9
9
1
1
1
0
0
33
33
0
0
0
0
16
35
24
8
0
10
10
0
8
8
4
4
0
0
0
0
0
8
8
8
8
0
0
0
16
16
24
24
24
0
0
16
32
32
0
16
16
16
16
4
18
18
0
0
0
0
16
16
8
8
8
0
0
8
0
17
8
8
0
1
0
4
4
0
0
0
16
0
8
0
1
1
0
0
2
10
8
2
24
16
0
40
44
12
8
0
0
0
0
8
8
8
4
2
2
2
4
16
16
16
20
0
0
9
0
4
9
0
8
17
8
0
8
0
0
0
16
16
16
0
16
16
0
0
0
1
0
0
0
16
8
16
16
16
16
16
0
0
8
4
0
0
0
0
1
0
8
16
16
21
16
32
32
0
0
0
2
8
16
0
0
0
16
16
8
8
0
16
0
0
0
8
27
1
2
16
16
8
8
0
0
0
8
8
8
8
13
16
0
0
0
0
0
8
8
18
16
32
8
0
2
2
2
0
0
16
8
0
8
0
0
20
16
16
24
0
0
0
0
0
0
0
0
2
8
8
0
16
16
16
0
2
0
4
0
1
0
2
2
2
0
0
4
4
4
0
0
0
8
8
8
8
0
32
32
4
0
0
0
0
0
0
0
0
0
0
12
12
2
0
0
0
0
44
0
8
0
0
0
0
16
16
16
16
16
8
8
20
0
0
19
24
0
0
8
8
8
8
8
8
8
8
8
8
18
8
8
0
16
24
8
0
0
0
16
8
24
8
8
8
8
8
0
0
0
4
0
2
2
10
4
4
2
2
8
8
4
0
4
2
2
2
5
0
4
0
4
24
24
0
0
16
8
8
1
0
2
0
8
8
8
14
0
0
0
0
16
0
8
8
8
8
4
4
4
49
25
1
17
17
1
0
1
1
0
8
0
16
16
0
16
8
8
0
0
0
3
3
8
8
0
8
0
8
8
8
8
0
16
16
4
4
0
2
16
1
1
1
1
16
16
0
0
8
8
0
0
48
0
0
0
28
8
8
16
16
0
0
8
8
0
0
0
0
0
0
0
0
4
4
4
4
16
16
24
0
0
0
8
16
16
16
16
16
0
0
8
8
0
0
0
2
0
16
0
17
8
8
0
0
0
4
4
0
5
20
2
8
8
8
8
8
8
8
8
0
8
8
0
8
17
0
4
1
18
18
18
8
8
0
24
24
24
24
8
0
16
16
16
16
0
0
16
16
0
16
0
1
16
0
16
16
4
4
4
17
0
0
8
8
0
8
0
16
0
0
8
16
0
0
4
0
18
20
20
20
0
0
0
0
0
0
24
1
8
0
0
8
16
8
0
0
0
16
0
2
2
8
8
8
8
8
16
19
0
16
0
57
0
8
32
8
8
1
0
0
0
0
0
0
0
0
0
16
0
9
0
0
0
25
25
25
25
16
0
0
0
12
12
0
4
12
16
16
16
16
41
16
4
17
17
17
8
16
0
17
1
0
28
28
8
8
0
0
0
0
16
1
33
32
8
16
1
24
0
8
8
1
0
0
0
0
0
0
0
0
16
0
0
4
4
0
4
20
4
8
8
8
0
0
16
16
0
0
0
8
57
0
0
0
8
8
0
8
0
16
0
0
0
0
0
9
0
0
0
0
1
16
16
8
0
0
0
0
0
0
8
0
0
8
0
0
0
8
8
8
8
8
8
0
0
17
0
0
0
0
8
48
0
4
4
16
1
0
8
4
4
16
16
0
16
8
4
4
0
0
4
4
0
0
0
0
0
28
28
28
28
16
16
1
9
0
0
8
0
8
4
31
25
25
0
0
0
0
0
0
16
0
0
2
0
16
16
16
16
16
16
16
8
1
0
0
0
8
4
0
2
2
2
2
0
16
0
17
8
0
8
8
0
0
0
30
30
8
16
3
0
0
0
0
16
0
0
0
8
8
8
8
2
8
8
8
0
16
8
0
0
0
0
16
2
12
12
8
8
0
0
16
0
0
0
0
4
0
16
17
17
4
0
0
0
16
16
16
16
16
0
0
0
8
8
8
8
2
2
0
0
1
0
18
0
0
0
0
0
0
16
0
8
8
8
4
0
16
0
0
8
0
28
28
0
0
0
2
2
8
0
24
24
0
0
0
0
0
16
0
0
8
8
0
0
0
8
0
0
0
8
6
0
0
0
0
0
0
16
0
0
2
0
8
0
0
0
16
40
40
0
8
16
16
0
0
2
2
0
24
8
8
0
4
4
4
24
0
16
16
1
1
1
1
8
4
26
26
26
0
0
12
12
8
0
8
8
8
8
4
16
16
16
0
0
0
8
8
16
0
0
8
24
16
7
0
0
0
0
8
8
1
1
1
1
0
0
2
2
4
8
8
8
8
16
16
8
8
0
0
0
0
20
1
40
16
16
8
4
0
0
0
8
0
0
0
17
16
0
16
8
16
16
0
0
16
0
0
0
8
0
16
16
0
16
1
8
8
0
0
16
16
9
0
16
0
0
0
2
0
0
4
8
0
16
16
16
8
0
0
0
0
0
32
8
1
1
4
0
0
0
0
0
8
0
0
0
0
0
0
1
0
0
8
8
0
16
16
24
0
0
0
0
0
0
1
1
8
8
8
0
0
0
16
37
16
8
0
4
0
8
0
0
0
24
24
24
0
1
8
8
20
20
20
20
20
0
16
1
1
0
0
0
2
0
1
1
0
0
0
0
0
0
16
8
8
16
20
20
20
16
8
0
17
16
0
0
1
1
0
0
0
0
6
6
16
8
0
0
0
4
4
4
48
48
0
0
8
1
8
0
0
0
0
22
22
16
32
32
20
8
16
16
0
0
0
0
0
8
0
0
8
4
4
4
0
4
20
22
8
8
0
4
8
8
0
8
8
0
2
8
8
24
0
8
0
1
24
0
8
2
2
0
0
0
0
0
8
16
8
0
0
0
0
2
2
0
16
16
0
0
0
8
8
0
16
1
4
4
4
4
4
4
4
8
8
8
0
4
8
8
16
16
0
0
8
8
0
16
18
18
18
16
0
7
0
1
0
1
1
8
8
8
8
4
4
4
32
32
32
0
0
0
8
1
0
3
8
8
8
8
8
1
24
0
0
0
0
8
0
0
0
0
0
0
0
0
4
0
4
8
8
16
16
8
16
8
0
0
0
0
0
0
48
0
0
0
16
16
16
16
2
0
0
0
2
16
8
56
2
0
0
0
0
8
0
8
0
0
0
16
8
8
0
0
0
0
25
16
16
0
0
0
0
0
0
4
48
18
8
8
8
0
0
0
0
0
0
16
0
8
8
24
8
8
0
0
0
0
0
0
18
24
24
24
17
0
0
8
24
0
4
4
0
0
0
0
0
0
1
1
0
0
8
8
8
8
8
8
8
0
1
0
0
0
0
16
0
8
0
0
8
20
1
1
8
16
32
0
0
24
0
0
8
32
0
16
20
16
0
4
1
1
17
1
1
0
8
4
4
16
16
16
0
0
0
8
8
0
0
32
32
0
0
6
0
8
8
8
0
0
0
8
0
8
8
7
8
8
0
16
16
16
16
0
0
0
0
0
0
0
2
8
8
0
1
0
8
8
0
8
8
8
0
8
0
1
8
0
1
4
2
24
0
0
0
0
0
0
8
16
8
4
4
4
8
0
8
1
8
8
0
0
0
0
16
8
16
8
8
8
0
16
0
4
8
8
8
0
24
0
16
8
16
0
12
12
8
8
0
0
0
0
8
8
8
0
0
24
8
16
4
4
4
4
4
1
0
0
0
41
41
8
0
0
0
8
0
8
8
0
0
8
8
0
0
19
0
0
0
0
0
0
16
16
16
16
8
0
0
0
8
1
1
0
16
2
10
10
4
4
16
16
16
0
0
0
0
0
8
8
8
0
8
0
0
16
8
4
0
16
16
1
0
25
8
8
0
0
0
4
0
8
2
2
24
8
4
32
0
0
0
0
0
0
1
0
16
16
16
0
2
2
4
0
8
0
8
8
8
8
8
0
0
8
8
8
8
8
2
16
0
0
16
0
17
17
8
8
8
0
0
0
8
24
24
0
8
0
0
16
2
2
2
2
2
0
27
27
36
0
0
1
2
8
8
8
1
4
0
0
0
0
16
14
0
0
0
0
0
0
0
0
0
0
4
4
0
0
0
8
1
0
8
8
8
16
24
8
1
1
2
0
8
0
0
8
4
0
16
16
0
0
4
8
0
0
24
24
8
24
8
8
32
32
8
40
40
0
0
0
0
0
0
0
0
0
9
0
0
1
4
8
1
1
0
0
16
16
4
4
8
8
16
8
0
0
0
0
0
16
16
17
4
0
0
17
1
24
8
6
8
4
8
8
8
1
1
16
8
4
4
4
4
0
0
8
16
16
16
16
16
0
8
0
0
0
0
16
0
8
0
1
1
16
16
16
16
0
0
8
1
0
0
8
8
8
0
0
0
0
8
24
0
0
0
8
0
0
16
16
1
1
1
0
0
0
0
16
0
0
1
0
2
8
14
16
16
0
8
16
16
0
0
0
0
2
2
16
33
33
8
8
0
8
0
4
2
2
0
1
0
0
4
0
0
0
8
0
0
0
16
4
0
1
21
0
16
0
0
0
0
0
16
16
24
24
24
0
0
8
0
8
24
0
0
8
8
8
8
0
0
0
0
0
0
8
2
2
8
8
0
8
0
0
0
8
8
8
8
8
0
8
8
0
0
0
32
0
16
16
16
16
16
0
10
2
8
0
0
0
0
24
0
0
0
0
0
8
16
0
0
4
16
16
8
8
0
0
1
9
9
0
6
0
0
0
0
8
2
17
17
17
17
0
8
8
8
16
24
0
16
16
0
8
0
0
0
0
9
0
1
1
16
0
0
8
8
8
8
8
8
8
8
8
8
0
16
16
16
16
4
4
0
0
0
0
0
0
8
8
0
3
0
0
0
0
20
4
0
8
16
41
48
4
16
16
16
8
4
16
16
0
32
16
16
0
0
10
0
8
2
2
2
2
8
8
0
16
16
0
0
2
16
16
1
0
8
8
8
8
8
8
8
0
0
8
8
8
0
0
0
8
8
0
8
8
8
8
0
0
1
0
0
0
8
8
16
0
0
0
0
0
4
0
16
0
0
0
0
8
8
16
0
0
8
8
8
0
8
8
1
8
8
8
0
0
0
0
0
0
0
2
0
8
8
18
0
9
1
16
16
0
2
16
16
1
1
1
16
0
0
2
16
16
0
0
0
0
2
2
0
0
8
16
16
16
16
12
4
4
0
0
0
0
0
0
32
1
1
1
1
1
0
15
2
2
0
2
1
16
16
0
4
10
0
13
0
0
0
8
0
0
32
8
16
8
36
8
0
0
0
0
0
0
10
0
8
8
0
4
0
0
16
16
8
8
0
0
0
0
4
4
0
0
0
0
4
4
0
0
8
8
0
0
0
8
8
8
0
0
0
0
0
8
8
8
2
8
8
0
33
29
29
0
0
8
0
0
8
8
28
1
1
16
0
8
8
8
40
16
0
8
8
0
0
0
0
0
4
4
16
16
8
8
8
8
0
0
0
0
2
2
0
0
0
0
0
8
2
8
32
0
0
1
0
0
0
0
0
0
4
0
8
16
41
0
0
16
16
0
8
8
0
1
1
1
0
0
8
0
16
16
0
0
8
0
0
0
0
0
16
1
1
1
4
0
8
0
0
0
0
0
0
0
0
0
0
0
0
16
0
16
8
4
8
2
2
0
0
0
8
0
0
0
0
60
2
15
0
0
4
4
8
0
21
21
21
0
0
0
0
0
2
0
0
0
8
4
4
4
16
0
0
1
1
0
28
4
0
0
0
24
8
8
2
0
26
26
8
8
0
0
1
37
2
8
0
0
0
0
12
12
8
4
4
4
0
0
0
16
0
0
0
0
8
2
0
8
0
0
0
0
0
0
8
8
16
16
0
16
1
0
0
4
0
16
0
0
0
8
0
8
0
0
0
0
0
0
0
9
9
16
0
8
16
8
0
8
2
2
0
16
16
24
6
6
6
6
0
0
0
0
0
8
0
8
16
0
0
0
16
16
0
0
0
22
0
0
0
0
8
0
0
0
1
16
0
0
0
8
8
16
16
16
16
0
0
0
0
0
1
1
0
8
8
0
0
0
0
0
41
8
48
4
0
32
0
32
0
0
24
4
1
1
16
16
0
8
8
8
8
8
28
28
28
0
0
0
0
16
16
20
0
8
1
1
1
0
0
0
0
8
0
2
0
0
8
8
20
8
8
4
8
0
8
8
8
2
17
17
17
0
0
17
0
48
48
48
0
0
16
16
4
16
16
4
8
0
0
8
16
2
2
8
32
32
32
4
0
0
0
0
0
0
0
0
0
2
8
8
8
0
0
8
0
0
8
24
0
8
8
0
0
0
4
12
12
0
0
0
0
0
0
0
0
0
0
16
8
0
36
0
8
8
8
8
8
0
32
16
0
1
16
0
8
0
0
26
16
0
8
8
0
0
8
8
0
4
4
8
8
17
0
0
16
16
16
0
8
16
8
8
16
16
16
0
0
0
8
8
8
8
8
0
0
16
16
16
16
0
2
8
0
0
1
1
1
1
0
8
4
4
4
0
4
16
16
0
0
0
0
4
0
0
0
2
0
0
0
4
2
2
2
2
4
16
0
0
16
16
4
4
24
0
16
16
16
26
8
8
0
33
33
0
0
25
0
0
4
16
16
0
0
0
0
0
0
0
4
4
4
4
4
0
0
0
0
0
10
10
10
0
0
0
0
8
0
0
8
8
0
4
0
24
24
8
0
0
0
0
0
0
16
16
16
16
16
16
16
16
16
16
8
0
0
16
2
8
0
0
0
12
0
0
16
8
8
8
0
0
0
24
24
0
0
0
0
43
0
0
0
0
8
34
0
0
0
8
2
0
0
0
0
0
8
0
0
0
8
0
0
2
0
8
0
0
4
16
16
0
0
21
2
2
2
2
2
2
0
0
24
24
12
4
4
16
16
0
0
0
8
4
4
0
0
41
0
2
8
0
0
0
0
4
0
0
1
0
0
0
0
0
0
8
4
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
2
2
4
24
0
16
8
8
24
8
8
0
0
0
16
0
32
32
16
0
0
4
0
16
16
16
0
0
11
4
8
8
0
0
0
16
16
8
1
8
8
0
0
0
0
0
0
0
16
16
16
0
16
0
8
16
16
16
16
16
16
8
8
8
8
0
32
0
8
8
56
8
8
8
10
0
0
0
8
8
8
16
12
4
9
0
0
0
4
4
4
0
4
4
0
0
0
8
10
2
16
0
0
16
1
5
16
16
8
8
0
0
16
18
0
0
8
8
0
4
16
0
0
0
0
16
0
0
0
0
0
0
0
4
4
0
0
2
1
1
16
0
0
8
8
0
8
8
2
8
2
1
1
1
0
0
18
18
0
8
8
4
0
0
0
0
1
1
1
8
8
8
0
0
0
0
8
0
4
4
16
16
8
0
0
0
0
0
0
0
0
0
2
2
0
16
4
6
4
0
0
0
0
0
8
0
8
0
0
0
8
1
1
0
0
0
0
4
0
8
0
0
16
16
16
8
0
8
8
4
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
8
4
8
0
0
0
0
18
0
8
4
4
0
48
8
8
0
8
0
0
8
0
0
0
0
0
0
6
0
0
8
0
17
17
0
0
0
53
0
0
0
0
8
16
16
0
0
0
14
16
0
0
40
40
0
20
16
0
4
4
4
17
2
2
1
1
1
0
0
8
1
1
0
0
1
0
1
1
1
0
0
8
16
16
16
16
8
0
16
16
0
0
6
1
8
29
16
16
16
16
0
24
24
8
0
8
0
0
0
8
32
16
0
1
0
8
0
0
0
0
0
0
0
0
8
0
0
0
8
8
0
8
16
16
16
8
4
4
0
8
16
16
16
1
16
16
8
0
0
16
8
17
16
16
0
0
8
8
0
1
16
4
4
4
0
0
8
8
0
0
0
16
0
0
4
5
0
0
1
16
8
0
16
0
16
0
0
0
18
0
8
8
8
0
2
2
2
2
0
16
8
8
1
36
0
0
8
8
0
0
0
0
0
4
4
8
0
24
8
13
0
0
0
0
0
0
16
16
0
16
8
1
0
0
0
8
8
1
1
8
41
0
24
0
0
41
0
8
8
8
8
0
0
16
16
16
0
0
8
0
0
8
2
2
0
8
8
1
0
0
0
0
0
0
0
0
4
4
0
8
8
0
8
0
0
16
16
16
8
0
16
16
16
16
16
0
16
2
16
8
0
0
10
0
16
16
0
0
2
6
2
8
0
0
18
16
8
0
0
0
0
16
16
0
16
0
0
0
17
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
8
4
16
16
16
32
1
1
16
0
4
4
0
0
0
32
32
32
32
32
32
32
32
8
8
0
0
1
1
8
1
0
2
2
2
8
8
8
0
0
0
0
16
16
16
16
8
8
8
8
16
0
0
2
2
2
0
0
0
0
0
16
16
0
8
8
0
8
9
8
0
0
0
0
0
0
0
8
8
8
0
16
16
16
1
16
16
16
8
0
57
0
0
0
2
1
1
1
16
16
16
8
0
0
3
1
8
0
4
8
0
0
0
34
4
0
0
16
16
10
10
10
0
0
2
2
2
16
16
3
8
16
0
10
10
8
0
8
1
1
1
4
4
9
0
0
0
16
16
16
16
16
16
0
0
0
0
16
0
24
8
8
8
16
0
0
0
8
0
0
8
16
16
16
16
2
8
0
0
0
16
8
8
8
8
0
8
8
4
4
4
4
4
8
0
18
3
0
1
1
0
0
4
8
0
8
8
0
0
0
0
16
16
16
16
4
1
2
22
22
22
4
4
0
16
8
8
8
41
40
40
0
0
0
0
0
0
0
8
8
0
2
0
0
0
8
8
0
8
4
32
4
0
8
0
16
0
2
8
16
16
16
16
1
1
2
2
16
0
0
8
8
8
0
0
8
8
8
0
8
1
0
16
16
1
16
0
0
0
4
4
16
16
26
16
16
0
0
8
16
8
8
8
0
8
0
16
0
2
0
8
8
8
2
2
17
0
8
0
34
32
0
0
0
17
17
0
8
8
2
2
2
16
8
8
18
52
12
4
9
0
8
24
0
0
0
8
2
0
8
32
8
0
0
12
16
1
8
8
8
0
0
16
0
4
0
0
0
0
16
0
24
24
16
12
8
0
0
0
0
0
0
16
0
0
0
1
1
1
10
8
0
8
0
0
0
39
12
0
2
0
8
8
16
0
0
0
0
0
0
0
0
0
0
0
0
8
8
9
24
13
13
0
0
4
0
0
8
8
16
16
5
16
16
0
0
0
16
4
0
0
0
20
1
8
0
0
12
0
0
0
32
32
8
0
0
0
0
0
0
16
0
0
20
20
16
8
32
0
0
0
0
0
0
0
0
0
0
0
8
0
8
0
0
0
0
16
16
0
0
0
0
0
0
0
8
0
20
0
25
16
1
0
2
2
2
2
2
0
0
0
0
16
0
0
8
16
16
0
0
4
4
4
24
48
4
4
4
12
8
8
0
1
0
0
16
16
8
4
4
0
0
0
9
0
8
0
0
0
1
1
8
8
0
0
0
0
0
8
8
8
18
0
8
16
16
16
16
16
16
0
0
8
9
12
12
1
1
0
0
0
8
16
16
16
0
0
0
28
0
0
0
5
0
41
0
9
9
9
9
16
16
16
16
16
0
0
16
16
16
0
0
0
0
4
4
4
4
16
16
16
16
16
0
16
0
0
0
0
4
0
8
8
4
4
4
0
8
8
0
0
0
4
4
4
6
44
0
16
0
0
0
17
17
0
8
8
8
8
0
0
0
0
0
8
8
8
0
0
8
8
0
0
0
0
0
0
0
0
0
0
4
8
16
0
16
16
24
16
0
0
0
0
0
0
0
0
0
16
8
16
0
0
0
0
0
0
8
8
24
0
8
8
0
0
0
0
0
0
0
0
0
0
0
8
2
0
24
24
24
24
0
8
4
0
0
16
16
16
17
16
16
24
24
24
0
0
0
0
0
0
0
0
0
8
0
8
8
8
24
16
8
8
8
8
0
0
0
0
0
16
20
20
4
0
0
16
8
8
4
8
0
0
0
8
16
16
8
8
8
26
0
8
0
32
0
56
56
8
0
16
16
16
0
16
4
4
32
32
2
2
16
0
8
0
0
0
4
0
0
8
8
8
8
8
8
1
1
1
0
0
8
0
0
0
0
0
8
8
0
0
0
8
8
16
0
0
0
0
0
0
2
2
0
8
8
8
3
8
17
16
5
5
5
0
0
0
0
0
24
8
8
8
8
8
32
8
8
8
16
16
16
0
0
8
8
8
2
16
0
0
0
0
16
16
16
8
8
8
0
0
0
2
4
0
13
0
2
16
24
0
0
0
0
8
8
8
0
0
2
0
0
0
0
8
10
0
0
0
8
0
0
8
8
8
0
8
8
16
0
0
0
0
2
2
0
0
24
0
0
0
0
0
16
16
0
8
8
16
20
18
0
16
16
0
0
0
0
1
0
0
0
8
8
4
0
16
0
16
8
8
0
0
0
0
0
1
0
0
1
0
0
0
16
33
0
20
20
0
0
16
16
16
4
16
8
8
0
0
0
0
0
0
0
0
8
0
0
0
16
16
0
13
0
4
4
4
1
16
9
0
0
0
0
1
16
8
8
0
0
13
0
0
0
0
8
8
8
0
24
24
24
2
24
24
0
4
0
0
8
0
0
10
0
0
0
8
8
0
16
0
0
0
0
8
0
0
5
5
8
8
4
4
4
4
4
4
9
11
0
3
10
32
32
8
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
16
8
24
24
8
8
8
0
1
1
0
0
8
4
1
0
1
16
9
9
9
0
0
0
1
1
1
8
1
0
4
8
8
8
0
0
0
0
2
4
4
4
0
18
8
8
0
0
1
1
1
1
8
8
8
16
8
8
1
4
0
0
0
0
8
8
16
32
0
0
0
0
4
0
0
0
16
0
8
8
4
8
0
0
32
16
16
1
0
0
0
16
0
0
0
0
0
0
5
8
8
8
8
0
16
0
8
4
1
0
0
4
0
0
0
0
0
3
8
16
24
24
24
0
0
0
18
24
0
16
2
1
8
8
16
0
0
0
32
0
4
8
24
24
24
24
0
2
8
8
8
8
0
8
0
4
4
4
0
8
16
16
16
16
2
8
8
0
16
16
0
20
4
0
0
16
8
0
16
0
0
0
16
16
0
0
0
0
0
0
0
8
8
8
2
8
18
4
16
0
0
0
0
0
0
16
16
16
2
18
16
16
0
0
0
16
8
20
2
2
2
2
2
2
0
0
4
4
4
8
0
0
16
0
0
0
0
0
0
8
48
16
16
16
0
0
0
0
0
0
0
8
0
0
0
8
1
1
1
1
4
16
0
0
16
16
8
4
6
6
0
0
1
0
0
4
4
0
1
1
1
0
0
16
16
16
8
32
32
2
2
2
8
0
0
0
24
24
18
18
8
8
8
8
8
8
8
0
32
16
18
8
0
2
0
0
2
2
0
8
8
8
0
16
0
0
8
2
0
16
1
1
16
8
8
0
0
0
16
16
0
0
0
2
16
16
16
16
18
20
0
0
1
1
4
8
0
8
0
0
1
0
0
0
0
0
0
0
16
16
0
0
0
1
24
24
24
24
24
24
24
24
16
0
16
1
1
0
1
1
0
0
0
0
0
0
0
0
0
1
0
24
16
0
1
0
16
0
8
8
8
8
9
16
8
8
8
4
4
4
16
16
0
0
0
0
0
8
8
0
0
16
0
0
8
0
8
8
8
16
0
8
0
8
8
8
8
22
22
22
8
0
8
8
8
8
0
16
4
16
16
1
1
0
0
0
0
0
8
24
8
0
0
0
0
0
0
16
0
0
0
8
0
0
4
0
0
8
4
4
0
0
0
0
0
0
0
2
0
0
8
0
0
16
0
0
0
1
32
32
4
4
0
8
0
0
0
0
0
2
1
32
0
32
8
0
1
8
8
0
0
0
0
0
0
4
0
8
4
4
4
4
0
16
16
0
0
0
0
2
32
32
0
8
0
0
4
8
0
0
0
4
4
4
8
0
8
24
8
0
0
4
4
0
0
0
24
0
0
1
0
4
8
29
29
16
0
0
16
4
24
2
8
0
0
16
0
0
0
16
16
16
12
24
0
2
0
4
0
16
16
24
8
8
0
0
8
24
32
32
4
4
0
16
4
4
4
4
0
4
4
4
0
0
24
16
0
16
0
0
9
8
8
4
2
8
16
16
16
8
0
34
9
0
8
0
0
16
0
16
16
16
16
16
4
8
1
0
12
8
8
8
1
0
14
14
14
0
0
0
0
8
0
0
0
8
8
0
1
0
0
0
2
2
8
8
0
0
8
8
16
0
8
8
0
8
8
8
8
0
0
2
2
0
0
8
3
4
2
4
0
0
0
18
18
16
0
0
0
8
32
8
2
0
8
0
0
8
8
8
0
0
0
8
8
0
0
16
8
0
0
16
12
0
8
16
8
0
0
0
0
0
0
0
16
16
4
24
0
2
0
0
0
10
10
0
10
8
8
8
4
4
0
0
0
0
0
16
0
0
0
0
0
24
8
16
0
0
1
0
0
16
0
0
0
4
0
8
2
0
0
0
1
0
2
2
17
17
17
0
8
0
0
1
0
0
0
0
0
0
22
8
0
8
8
8
6
2
0
16
16
12
8
10
1
1
16
0
8
16
16
8
0
2
2
0
0
0
0
8
8
8
0
0
0
4
4
4
4
0
0
0
0
16
8
0
0
0
0
1
0
0
0
1
16
16
0
16
1
0
4
4
8
8
0
0
0
8
8
8
8
0
1
0
16
0
0
8
0
8
8
0
0
4
0
4
4
8
8
8
8
0
0
0
0
4
0
0
0
0
0
0
0
16
4
0
16
8
0
0
0
0
0
0
16
8
16
17
16
16
56
8
8
1
0
0
0
0
0
0
0
0
0
0
0
0
8
2
2
8
2
0
0
0
8
0
0
0
0
0
0
0
8
8
16
16
8
8
8
8
16
16
16
0
2
2
2
0
0
0
0
0
4
0
0
0
0
4
0
16
0
18
16
4
0
0
0
0
0
24
24
24
18
0
22
22
22
22
16
16
8
8
0
24
0
32
4
0
0
16
0
0
16
0
2
0
0
0
16
8
16
16
0
16
0
0
0
8
8
0
0
4
0
0
0
0
0
0
0
0
0
0
16
4
4
4
4
4
4
4
8
8
20
0
0
0
8
16
8
8
24
8
0
0
0
8
8
8
0
16
16
16
16
8
0
8
4
8
0
16
0
4
4
0
0
0
8
20
20
0
0
14
14
14
0
0
0
0
0
2
0
16
0
4
8
16
0
1
16
16
16
0
0
0
32
32
0
0
0
4
4
4
0
0
0
8
0
0
8
0
20
20
20
16
0
2
2
0
0
0
0
4
4
4
8
8
12
12
0
4
0
0
8
0
8
2
8
9
1
0
0
0
4
4
1
1
1
1
4
0
0
20
1
16
0
8
0
16
16
8
0
4
4
8
8
8
8
8
1
0
32
32
0
8
8
8
2
1
0
0
25
0
0
0
0
4
0
2
16
16
0
0
24
24
0
0
8
8
8
16
8
16
16
0
0
0
16
8
0
0
24
8
0
8
9
12
5
6
6
0
16
0
0
0
0
8
0
0
0
1
0
0
0
0
0
8
24
24
24
0
0
4
4
4
4
13
9
0
0
8
0
16
0
0
0
0
1
0
16
2
9
0
0
0
0
8
16
16
0
16
0
0
0
0
8
8
8
8
4
4
0
0
20
4
0
0
8
0
0
8
8
0
8
0
32
0
8
8
0
8
8
8
2
2
0
0
0
0
0
0
0
0
0
9
8
1
0
0
21
8
8
8
0
8
0
0
16
16
4
8
8
8
8
8
0
0
1
1
0
0
0
0
0
0
4
4
4
4
0
4
16
8
0
0
0
0
8
8
0
0
0
0
0
0
16
16
0
0
0
0
0
24
8
16
0
12
0
0
0
0
0
8
0
0
0
0
0
0
8
0
0
0
8
0
0
0
8
8
8
8
0
0
40
0
24
0
16
8
0
8
8
8
4
4
0
16
24
8
16
4
0
8
8
4
4
1
0
0
0
8
8
8
9
24
0
0
25
25
8
8
8
8
0
0
0
0
0
8
8
0
8
16
16
8
8
24
0
0
0
0
0
16
33
33
8
12
4
4
4
1
16
1
1
1
4
0
0
0
0
0
8
8
10
10
10
10
10
10
10
16
40
6
36
0
0
0
0
0
4
4
0
16
0
56
0
0
0
0
0
8
8
0
52
0
0
8
8
0
0
24
24
16
8
8
8
0
0
0
0
0
1
0
16
16
0
8
0
1
8
17
8
2
2
2
16
16
32
0
0
13
4
4
0
8
4
4
0
0
20
16
16
16
16
0
12
0
4
4
0
0
0
0
0
8
8
8
0
0
0
1
16
16
16
8
8
0
0
8
0
8
20
1
0
16
16
16
16
16
16
8
0
0
0
0
16
16
0
0
0
0
0
0
8
0
16
0
0
0
0
0
8
0
0
0
8
8
8
8
8
8
16
16
16
0
0
0
0
0
0
0
4
16
0
0
4
4
0
4
4
4
28
0
0
0
0
0
4
0
8
0
0
8
4
0
16
16
33
8
8
8
8
4
0
0
0
0
0
0
4
0
0
0
4
4
4
8
8
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
8
0
8
8
8
0
4
4
0
16
8
8
8
8
8
8
8
0
0
8
8
8
8
4
4
4
2
2
0
8
0
16
0
0
0
8
8
8
8
4
4
0
16
20
2
2
8
0
0
0
0
24
16
16
16
0
8
8
8
8
8
2
2
32
0
0
8
0
0
0
8
8
0
0
8
8
8
0
16
0
2
16
16
16
0
4
8
8
0
8
0
0
0
0
0
0
17
3
3
8
4
4
16
0
0
2
8
4
4
0
0
0
8
0
0
8
16
1
0
8
0
0
16
0
0
16
0
0
0
0
0
0
0
0
0
0
0
12
12
12
12
0
0
16
16
16
16
0
0
16
0
0
1
8
8
0
0
0
0
0
0
0
2
8
8
0
0
18
1
1
2
0
8
8
0
0
8
16
0
0
0
8
8
26
0
24
24
0
6
0
0
0
0
16
16
0
8
8
0
0
8
26
26
26
0
8
8
8
8
8
8
0
0
16
16
0
0
0
8
8
55
16
4
8
8
8
0
2
0
32
2
10
0
0
16
0
16
0
8
8
8
16
16
0
8
8
8
8
8
8
8
8
8
8
4
16
38
0
0
0
4
8
8
8
2
0
4
0
0
0
16
0
4
0
8
0
0
24
24
24
8
1
8
0
16
1
1
0
16
0
0
1
1
24
2
1
1
11
0
0
0
0
16
0
6
0
0
20
0
0
8
24
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
9
9
4
0
0
8
8
0
0
0
1
16
4
0
8
16
16
16
16
16
8
8
0
0
0
0
8
0
4
8
0
0
0
0
0
0
0
0
16
8
8
0
0
0
4
4
12
12
12
12
12
2
0
0
24
8
0
8
8
0
16
18
18
18
18
18
18
0
8
0
0
0
0
0
0
8
0
0
2
2
0
0
0
4
2
8
8
8
0
8
8
16
16
0
0
1
2
2
0
0
0
0
0
20
10
0
6
17
8
8
8
0
4
4
8
0
16
17
8
0
0
0
16
0
0
0
4
8
8
0
0
12
4
0
0
0
0
16
0
0
0
1
0
8
0
0
16
8
2
2
2
2
48
4
0
8
8
32
8
16
16
16
8
16
16
16
16
8
16
8
20
0
0
0
0
0
0
0
0
0
0
6
28
28
28
0
0
0
0
8
8
0
32
32
16
16
0
0
8
8
8
0
0
32
2
2
0
8
0
0
0
1
1
0
2
2
8
8
16
16
0
16
8
0
0
8
16
0
16
0
10
8
17
17
0
29
29
8
8
0
0
2
0
2
16
20
0
8
8
6
16
4
4
1
8
8
0
0
16
0
0
0
16
16
16
16
16
0
0
0
0
0
8
8
8
8
0
1
8
8
8
8
0
0
0
0
8
8
0
16
16
8
8
0
0
0
16
2
0
1
0
4
8
8
8
0
16
8
0
0
0
0
0
0
0
0
24
24
24
24
16
16
16
16
0
8
16
0
8
8
9
0
8
8
8
8
16
0
0
8
8
0
2
16
8
0
0
16
8
8
1
1
0
0
0
24
24
8
4
4
4
16
16
16
0
0
4
0
0
0
1
0
2
2
8
0
0
0
0
0
0
0
0
8
8
8
8
32
32
8
8
8
42
2
2
0
24
0
0
0
0
4
4
8
0
0
4
0
32
0
8
0
0
0
0
0
0
0
16
16
8
4
1
8
8
16
1
1
0
2
9
16
9
9
0
0
6
6
0
0
8
8
8
8
17
0
0
0
0
16
0
16
16
16
4
32
32
16
16
16
16
10
0
21
0
0
0
0
0
0
8
0
20
0
16
8
8
16
16
8
1
1
1
1
16
16
1
1
0
24
16
0
8
8
8
4
0
2
2
2
2
16
0
1
1
8
8
0
0
0
0
0
0
16
4
0
4
4
4
4
4
2
2
0
0
0
0
0
0
0
8
0
0
0
17
17
8
8
8
0
8
20
16
0
0
0
8
0
40
9
0
0
4
8
8
8
8
8
16
8
16
16
16
16
16
16
0
1
0
0
3
0
0
0
16
8
0
8
8
16
0
0
3
3
30
30
0
0
0
1
1
0
0
40
16
16
16
0
8
8
16
16
16
25
16
48
48
48
8
0
8
0
8
8
8
0
0
0
0
0
8
12
0
0
4
4
4
4
4
4
1
0
0
0
0
4
0
0
16
0
20
8
0
8
8
16
32
16
16
16
0
0
8
8
16
16
16
10
0
0
0
8
0
8
0
0
0
0
0
8
8
8
8
8
8
8
8
8
9
16
1
1
0
4
0
16
0
16
32
4
4
0
8
0
1
8
0
0
0
0
0
0
0
16
16
16
16
40
8
8
8
8
8
0
0
8
8
8
0
2
0
0
0
0
8
8
32
1
1
16
2
8
8
8
8
8
0
0
1
16
24
0
4
0
0
0
0
8
8
8
8
0
1
32
8
0
16
16
16
16
0
0
0
0
0
0
4
4
16
16
16
24
0
4
4
4
4
16
16
8
24
8
8
16
16
0
1
0
16
0
0
0
0
0
0
0
0
16
16
8
0
0
0
37
0
4
12
4
0
0
0
0
0
24
8
8
8
5
5
0
8
8
9
8
8
0
0
0
4
4
4
4
8
0
1
1
16
8
8
8
6
6
6
6
6
0
8
8
0
16
0
0
24
4
8
0
8
8
0
0
16
16
0
0
2
2
0
0
8
8
8
24
24
8
8
0
0
2
12
12
0
0
16
0
8
4
4
4
8
8
16
0
16
4
0
0
8
0
8
8
32
32
1
0
1
32
0
2
2
0
34
34
0
0
8
8
0
0
0
4
0
0
24
0
16
4
8
0
24
0
0
0
8
0
0
0
0
8
0
1
0
0
16
8
8
8
8
0
0
8
4
0
0
0
0
0
0
0
0
0
0
0
16
32
32
8
37
0
4
0
1
16
8
8
0
0
4
4
4
1
0
0
0
16
16
4
0
0
24
8
16
8
0
0
0
16
4
4
5
4
4
4
4
0
8
0
0
8
0
0
0
0
1
8
8
8
8
16
0
0
8
8
0
0
0
8
8
0
8
8
40
40
0
0
44
0
1
1
16
16
16
8
24
8
8
8
8
8
0
8
0
1
1
0
0
0
0
0
0
0
16
0
16
32
32
32
0
0
0
0
0
0
0
0
0
20
0
0
8
8
8
8
0
3
3
3
0
0
8
2
0
0
10
10
2
2
0
0
0
0
0
0
16
16
8
8
16
0
0
2
2
2
8
8
8
0
0
16
16
16
0
0
0
0
1
1
1
1
1
0
0
0
0
2
2
1
0
0
0
0
0
0
16
16
16
16
0
8
8
0
8
0
0
8
8
8
8
24
24
24
8
8
8
0
2
0
0
0
0
0
0
8
0
8
2
8
8
4
18
18
1
1
16
16
16
13
13
0
16
0
16
0
0
8
8
8
12
16
16
8
0
16
16
16
1
48
0
17
0
16
0
16
16
1
4
32
32
1
16
0
0
0
0
0
0
0
4
4
8
8
4
4
4
4
0
0
0
8
0
0
0
0
0
1
1
8
12
0
0
0
0
0
0
0
17
0
1
0
0
0
16
44
0
0
4
0
4
16
0
0
16
8
4
8
0
0
0
0
0
0
0
8
8
0
4
4
0
0
0
8
8
8
16
2
2
0
0
16
16
16
16
8
8
8
0
0
8
8
0
0
4
4
0
0
8
8
8
8
8
8
8
8
8
18
0
8
0
0
0
0
0
0
16
16
16
8
0
0
8
0
16
18
0
0
4
1
8
0
8
8
0
0
8
8
0
16
0
0
0
16
0
16
0
0
0
0
4
8
0
0
0
0
0
0
0
0
2
2
1
24
24
4
16
16
16
16
32
32
0
0
4
4
8
8
0
0
8
2
8
8
16
16
16
8
8
2
4
4
4
4
2
9
0
0
0
8
8
10
0
0
16
8
8
8
8
8
8
0
0
16
0
8
8
4
0
8
40
0
0
1
16
16
16
0
8
2
1
8
16
32
32
0
24
24
31
1
8
8
0
8
20
0
0
8
16
16
16
0
0
17
0
24
0
0
8
8
24
8
8
0
8
0
0
0
2
2
0
0
0
0
26
26
8
8
0
32
32
32
32
17
17
16
16
2
2
2
8
8
40
40
0
0
8
20
0
4
0
0
25
0
0
0
12
0
2
0
0
0
0
0
16
0
1
0
0
28
28
16
0
24
24
8
0
8
0
8
4
4
4
0
3
3
3
0
4
1
8
0
16
16
0
0
8
24
0
0
8
8
8
54
25
8
8
8
0
0
0
0
16
4
4
0
8
16
0
0
0
0
0
0
0
0
8
0
4
1
2
2
2
4
8
0
24
0
2
0
16
0
16
8
0
1
0
0
40
16
16
16
8
8
0
4
0
0
17
8
6
6
6
0
0
0
0
4
4
4
12
12
2
2
8
8
8
0
4
0
0
16
8
0
8
0
0
8
8
0
0
16
8
8
8
8
8
8
0
0
16
16
2
0
0
0
8
0
16
16
16
8
16
4
0
0
0
0
0
0
0
0
0
0
8
0
0
16
16
16
0
0
0
1
8
32
32
1
0
4
0
0
0
0
1
1
8
4
0
0
0
8
0
0
0
0
0
0
0
24
0
0
0
0
0
0
8
8
1
1
0
0
0
32
32
32
32
8
0
12
0
0
0
0
0
0
0
0
0
1
0
0
0
32
32
0
0
0
0
0
8
8
16
0
0
0
0
32
24
4
16
16
16
16
1
0
16
1
0
0
0
8
0
0
0
0
0
8
2
8
8
0
0
16
16
8
1
8
19
0
0
0
2
2
2
2
8
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
2
2
32
32
4
0
4
2
1
0
8
40
40
4
0
0
0
8
16
0
0
8
8
8
16
1
12
12
12
16
0
0
0
0
4
6
6
0
4
4
32
0
0
0
17
17
0
2
2
16
16
8
0
8
16
0
36
8
1
0
0
0
28
8
16
16
0
0
2
2
0
0
0
0
0
16
2
0
0
0
0
24
16
16
16
2
2
9
9
9
1
1
0
0
0
0
5
0
0
16
16
8
1
0
9
9
2
16
16
0
16
16
16
0
0
8
8
0
0
0
6
6
6
0
8
8
8
0
0
0
0
18
0
8
8
8
0
0
0
0
0
2
1
16
0
0
8
0
8
8
4
0
8
0
16
16
16
0
0
0
0
8
0
0
0
8
0
8
18
8
9
0
8
8
8
0
0
0
8
24
8
1
1
1
1
0
0
20
20
8
8
0
0
14
4
4
18
0
0
0
0
0
8
0
0
8
0
0
0
18
16
0
8
20
0
0
8
0
0
0
0
0
16
8
16
8
8
8
8
8
2
0
0
0
0
0
0
0
0
1
0
8
2
30
1
1
16
16
4
0
1
0
8
8
8
8
0
0
0
0
8
8
26
24
0
8
8
8
8
0
8
24
16
12
23
1
1
8
16
8
8
8
0
0
0
0
0
0
0
0
0
1
1
16
20
0
0
0
0
0
16
0
16
24
24
24
24
24
24
24
8
8
0
0
0
0
0
16
0
0
8
12
12
0
0
0
4
4
4
32
32
8
8
8
8
8
0
0
0
0
0
8
8
8
8
12
0
0
9
5
5
0
0
0
8
8
2
2
24
0
0
0
0
8
0
0
0
0
2
2
9
16
16
16
8
8
8
8
16
0
0
0
12
12
12
12
16
4
21
16
0
0
1
1
1
54
0
8
8
4
16
1
0
0
0
0
24
16
0
2
0
0
4
0
0
0
11
18
0
0
0
0
0
1
4
4
0
0
0
2
0
8
8
8
0
0
0
0
8
6
6
6
0
0
8
0
1
1
0
0
1
4
4
40
40
0
0
0
0
0
4
16
0
16
0
0
1
0
0
0
0
0
8
8
0
1
20
0
0
48
48
48
48
48
48
48
48
16
16
0
4
0
0
8
0
0
0
8
8
8
21
0
0
0
5
16
0
0
16
0
0
8
8
0
0
0
4
4
4
4
4
4
8
8
16
16
8
0
4
0
0
0
32
4
0
28
28
7
0
0
0
0
16
0
8
16
0
0
0
0
0
8
2
16
0
0
0
0
8
12
0
32
17
1
4
0
1
0
8
29
16
25
8
8
0
0
0
0
0
0
8
16
25
0
8
8
8
8
0
17
0
0
0
0
8
16
0
4
0
16
8
10
2
0
8
16
0
8
0
0
0
0
0
8
0
32
16
16
0
0
0
1
24
8
1
16
4
4
4
16
16
16
8
0
0
0
0
1
0
16
16
0
1
0
8
8
16
0
8
8
0
16
8
0
0
0
0
24
24
1
18
18
1
0
0
4
8
8
12
8
1
1
8
16
8
8
8
8
4
8
8
8
8
8
0
8
8
8
2
0
8
40
0
4
0
8
4
16
16
48
8
8
8
16
1
0
16
0
0
8
16
16
8
0
0
0
0
4
18
16
18
8
4
4
16
16
8
8
0
33
0
0
8
8
20
36
2
32
0
0
0
1
1
0
1
1
0
16
0
0
16
16
8
2
2
2
12
2
8
8
8
0
0
25
4
0
0
0
0
4
2
0
0
16
0
0
8
8
2
8
8
0
0
0
4
0
8
8
0
4
20
4
4
4
0
0
17
2
0
30
8
0
8
0
0
0
0
4
4
4
0
0
0
17
0
0
4
4
0
0
16
16
16
16
8
0
8
0
8
8
8
8
8
8
16
8
24
1
16
16
1
1
1
0
8
33
33
0
8
8
0
0
17
8
8
0
0
0
0
48
2
4
4
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
8
24
24
2
8
8
2
0
0
0
0
0
3
0
16
0
8
8
8
0
8
8
0
24
0
0
18
0
16
8
0
4
8
1
0
0
2
2
2
2
2
0
0
1
1
16
16
0
0
0
8
4
16
0
4
4
4
4
16
16
2
0
0
0
0
16
1
2
2
0
8
0
0
0
16
0
18
0
0
32
32
0
0
0
0
0
0
0
0
4
24
0
8
0
0
0
0
25
8
8
8
8
12
4
7
0
24
0
0
0
0
24
8
8
0
8
4
4
8
8
0
32
0
0
0
0
8
8
24
16
16
16
16
0
8
8
8
0
0
0
0
0
1
1
0
0
8
33
33
33
2
8
0
8
8
0
1
0
0
0
16
0
0
8
8
16
16
8
8
0
4
4
4
4
0
1
2
16
2
8
8
8
8
16
0
0
0
0
0
0
0
0
0
4
8
0
24
16
6
0
8
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
10
24
0
0
0
8
8
12
12
0
0
0
8
1
1
8
1
3
0
0
0
0
0
8
8
8
8
0
0
8
0
0
0
4
8
0
0
8
0
0
0
0
0
0
0
0
0
4
0
16
16
16
17
0
0
0
2
16
16
4
0
8
16
16
16
16
16
0
29
25
8
8
0
0
0
0
0
0
0
0
2
0
16
16
16
0
24
0
0
0
0
0
0
1
0
16
16
16
16
8
8
8
2
1
0
0
0
8
8
0
0
16
16
16
18
18
24
2
8
0
0
0
0
0
0
0
16
16
16
16
0
4
4
8
8
0
0
0
0
0
0
0
0
40
40
0
0
8
16
16
0
19
0
0
40
40
0
0
0
0
8
8
12
0
4
16
16
16
0
0
0
0
8
16
0
0
18
16
0
8
21
1
1
8
0
0
8
0
6
32
0
16
16
0
32
8
0
0
0
1
0
16
16
16
16
16
16
16
16
0
24
4
16
16
1
0
4
4
4
16
16
8
8
24
8
8
0
8
0
0
8
8
8
1
12
1
1
8
8
16
8
28
12
0
16
0
8
8
4
1
0
4
0
2
2
8
2
2
1
0
0
2
4
4
0
16
16
0
24
16
0
18
0
24
24
0
8
20
20
16
16
16
16
0
32
8
8
8
8
8
8
8
8
8
8
8
8
0
8
0
16
16
20
1
16
16
0
2
24
24
0
0
0
0
4
8
8
8
0
0
0
4
16
0
0
0
0
0
2
4
4
4
16
16
16
1
8
4
18
18
18
0
8
8
8
4
0
4
0
0
16
0
0
0
0
0
0
8
8
8
3
16
16
0
0
0
2
8
8
16
16
16
8
8
0
0
0
16
4
8
16
4
8
2
1
20
0
0
8
0
16
1
8
16
0
0
1
0
0
0
0
4
4
8
1
8
8
8
0
28
0
8
20
0
4
0
0
0
1
32
0
0
8
8
16
16
0
0
8
20
2
3
3
3
3
0
37
37
8
8
0
0
2
2
0
0
0
0
17
26
26
16
16
16
0
4
17
17
8
0
0
8
8
8
1
1
1
0
0
28
4
4
8
4
0
8
32
32
32
16
16
16
16
0
0
16
16
24
8
8
8
0
0
14
14
8
0
0
16
4
8
0
0
0
0
0
8
8
8
8
8
0
8
8
0
0
16
0
8
0
0
0
16
8
8
8
8
0
8
0
1
16
32
2
0
0
0
12
0
0
0
8
8
16
16
16
16
16
16
16
16
0
0
0
8
8
0
24
24
24
8
0
0
0
0
2
0
0
5
1
0
0
16
16
8
8
12
8
0
0
0
0
0
0
16
8
16
8
0
0
8
8
4
0
0
0
0
0
4
4
40
40
16
0
20
0
8
8
16
0
0
8
8
8
0
0
2
0
1
1
1
16
16
16
0
8
0
0
0
16
0
2
8
4
0
8
8
0
8
8
8
8
1
16
9
9
8
0
0
8
18
4
4
4
2
1
0
16
8
8
8
2
2
8
8
16
0
0
0
0
0
8
8
8
0
1
1
1
4
0
0
0
16
16
16
16
16
0
8
8
8
0
0
1
0
16
8
8
25
0
0
0
16
1
4
0
0
0
0
0
0
0
16
16
8
0
0
0
0
0
0
4
0
8
0
0
0
8
0
0
0
8
0
0
0
0
32
0
0
18
34
0
8
0
0
0
0
0
8
8
0
48
8
8
8
0
0
0
0
24
0
17
17
17
17
12
12
0
0
12
12
12
12
8
8
8
20
0
16
16
16
8
0
0
9
9
8
8
2
0
0
0
2
16
0
0
0
8
8
8
8
8
2
0
8
0
4
8
8
0
0
0
0
8
6
28
0
0
4
4
0
2
2
2
8
8
8
0
0
0
2
0
0
24
0
0
0
0
0
16
16
2
8
0
0
32
8
0
0
0
0
16
0
0
0
0
0
0
16
2
34
34
34
34
8
8
8
8
0
0
16
0
8
16
0
2
2
2
0
0
0
0
2
2
2
8
24
10
0
0
0
0
0
0
0
0
0
8
8
8
0
1
8
8
0
8
8
0
12
20
0
0
8
0
0
8
16
16
16
16
0
0
0
8
0
0
8
8
0
8
8
0
20
2
0
0
0
0
16
16
12
0
1
0
0
0
0
8
8
0
0
0
0
34
0
2
0
8
0
3
3
8
1
0
0
0
8
0
0
8
8
16
16
16
16
16
1
8
8
0
8
8
0
0
0
0
0
0
0
0
0
0
16
16
0
0
2
10
16
16
16
16
8
0
0
20
0
0
1
16
2
4
0
0
8
1
1
2
40
40
8
8
8
0
0
24
2
0
0
0
0
0
8
0
0
0
0
8
2
16
28
8
0
1
0
0
0
0
4
0
8
8
8
4
4
0
4
0
0
0
0
0
8
16
8
20
8
8
8
2
0
4
12
12
0
8
0
0
16
16
0
18
0
0
0
4
8
0
1
0
11
0
0
0
0
8
8
0
8
0
0
0
1
0
8
8
8
8
8
8
0
2
2
2
1
0
17
0
0
0
1
1
0
0
0
0
16
32
0
8
8
0
0
0
0
0
0
0
0
0
48
6
16
8
8
8
8
24
24
24
0
0
0
8
0
0
9
4
0
0
8
8
24
8
0
12
8
0
16
16
0
0
4
4
0
16
0
24
24
24
24
24
1
1
1
26
8
0
0
0
8
0
2
0
0
0
0
8
8
0
0
0
16
9
8
0
0
1
0
8
8
8
8
0
8
4
4
4
0
0
0
8
1
0
8
0
0
1
8
8
8
24
8
8
3
0
1
8
0
0
2
8
0
0
4
8
24
24
24
8
8
0
0
4
0
60
0
58
0
0
0
0
16
8
8
0
0
4
4
0
8
4
4
4
4
0
16
0
0
0
2
0
8
0
0
8
8
8
0
34
34
0
0
4
0
0
0
16
0
0
2
0
0
0
0
0
8
4
24
25
8
2
2
2
32
0
0
0
2
0
8
16
8
4
21
21
21
0
0
0
0
0
0
16
0
0
16
16
0
8
0
8
8
8
0
20
8
8
8
16
35
8
0
1
0
0
0
0
0
0
0
0
0
0
0
0
16
1
1
1
1
0
0
32
8
16
0
8
16
1
1
0
8
18
16
0
0
0
0
16
16
0
0
0
0
0
4
4
4
1
1
1
16
32
8
0
1
1
1
8
0
1
0
0
0
16
8
0
0
8
8
0
0
24
0
0
0
0
0
0
16
16
0
0
0
8
4
24
8
8
8
9
16
25
0
8
0
16
0
8
8
16
20
0
0
0
1
0
0
0
44
4
0
24
0
0
0
0
40
0
0
0
0
16
16
8
16
16
0
0
0
0
0
0
8
0
0
8
1
24
0
0
8
0
8
8
8
0
0
1
1
1
0
0
16
24
24
0
8
8
8
8
8
8
0
1
1
0
16
4
4
0
0
0
0
4
0
8
0
0
0
12
16
16
16
0
0
1
1
12
8
0
0
0
0
24
24
10
0
0
8
8
0
0
0
0
0
32
8
0
16
4
8
0
0
0
0
1
16
16
16
16
16
16
0
0
0
8
8
8
0
0
0
0
0
8
0
0
0
0
0
0
4
12
0
16
4
0
8
8
16
0
8
28
0
8
0
4
0
12
8
0
0
0
0
16
0
0
0
2
16
16
2
0
1
0
0
0
8
8
8
8
8
4
0
16
9
9
0
0
0
0
16
8
2
0
8
0
0
0
16
16
8
8
0
2
8
8
8
0
8
8
0
8
16
1
0
1
0
0
0
0
8
8
21
21
21
1
1
16
24
17
8
8
8
8
0
0
0
16
0
0
0
0
8
0
0
0
16
16
0
10
10
0
0
0
0
4
4
4
4
4
4
2
0
8
8
8
8
32
44
2
0
0
0
0
0
0
0
16
9
9
9
0
0
0
0
9
0
8
1
8
8
8
4
24
24
8
4
0
0
24
8
0
4
0
16
2
0
0
0
0
0
20
0
16
0
0
0
0
0
0
0
0
0
16
4
8
8
8
8
8
0
0
8
16
0
16
16
0
16
16
4
4
8
8
8
8
8
1
0
0
0
0
8
32
8
0
16
1
1
1
8
8
2
0
0
32
0
0
10
0
0
0
0
0
0
0
0
0
16
0
16
0
4
4
4
24
8
1
1
32
17
0
2
4
0
32
0
0
0
0
0
16
0
0
0
0
15
16
24
0
0
0
0
4
4
4
4
0
0
0
8
16
0
0
0
0
24
0
16
16
8
8
4
2
2
16
16
16
16
0
16
16
0
0
16
16
5
8
8
8
0
0
0
0
8
0
0
8
0
8
8
20
0
0
0
0
8
0
0
0
0
9
9
0
8
8
8
8
8
8
16
0
0
0
18
18
18
18
0
16
16
16
0
0
16
16
8
8
8
8
0
4
8
8
4
0
0
8
0
24
0
0
0
8
0
1
1
8
0
0
24
16
2
2
8
8
1
7
1
0
0
0
8
0
0
16
0
18
43
44
0
8
0
0
0
32
32
0
2
8
0
4
8
16
16
3
2
8
2
2
2
2
0
0
8
0
0
4
4
4
4
4
4
0
0
0
0
8
0
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
8
0
16
16
0
4
2
0
0
8
0
0
8
0
0
0
8
8
32
32
16
8
17
0
2
20
4
0
0
8
0
0
8
0
5
5
0
0
0
0
8
0
0
0
0
0
0
20
20
20
20
20
0
0
0
0
16
12
12
8
0
0
0
8
8
4
28
8
0
0
0
4
0
17
0
16
16
16
0
24
24
8
8
8
4
4
4
0
0
0
16
0
2
40
40
40
40
40
0
18
18
32
0
8
0
4
0
8
0
0
0
0
0
0
0
0
0
0
8
0
0
0
40
24
16
8
0
8
24
8
0
0
0
0
0
0
0
1
0
16
0
4
8
0
0
8
16
0
0
0
0
1
1
1
8
8
0
0
0
0
0
0
0
16
0
19
19
19
19
19
19
8
0
0
2
8
0
0
0
0
0
0
8
8
4
4
0
24
0
0
0
0
0
8
8
4
0
0
5
0
16
8
8
8
0
0
0
18
18
0
8
8
8
24
24
8
8
8
8
0
8
0
0
0
0
24
16
16
16
0
0
8
8
8
16
8
8
0
0
0
22
0
26
26
17
0
1
8
0
1
1
4
0
0
18
8
4
4
0
8
0
0
0
16
0
8
0
0
0
0
16
16
20
8
0
16
0
16
0
0
0
0
0
8
1
4
32
32
32
0
24
16
0
4
0
0
24
24
0
8
8
0
32
0
8
8
0
0
0
0
8
8
24
0
0
0
8
0
16
16
16
0
9
0
8
1
0
8
16
8
0
0
1
1
0
16
16
33
0
0
0
0
20
0
4
4
4
4
4
16
0
16
8
8
0
0
0
0
0
0
8
0
24
1
8
20
20
0
3
8
0
0
18
8
0
0
16
16
16
16
16
16
16
16
0
9
16
0
0
8
8
16
16
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
8
8
8
8
0
0
0
0
0
0
0
8
24
0
0
0
12
16
8
1
4
8
8
0
0
1
4
0
0
20
0
2
24
24
24
24
0
0
8
17
0
0
16
4
0
0
0
8
8
4
4
16
0
0
0
8
0
16
0
0
0
0
0
0
16
8
8
16
2
0
16
16
0
16
8
8
0
0
4
4
0
24
0
0
0
8
8
8
8
8
16
16
0
8
0
20
20
0
4
32
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
16
8
16
0
0
8
0
0
0
8
10
8
8
0
0
0
0
4
4
22
0
8
8
16
20
20
20
3
8
0
8
0
0
8
8
8
8
0
8
9
4
16
4
0
0
16
8
0
0
2
1
8
0
16
16
28
28
28
1
24
16
4
4
0
0
8
0
1
0
0
16
4
16
16
0
0
0
2
2
10
0
0
8
8
34
34
8
8
8
20
20
4
4
0
1
1
1
16
16
1
0
0
32
0
16
1
1
12
0
0
8
0
0
0
8
32
16
48
16
52
0
0
0
16
8
0
0
0
0
0
0
8
24
2
16
16
16
0
0
0
0
0
0
24
16
0
1
0
0
0
8
0
0
0
0
16
1
0
5
18
0
0
8
0
0
0
8
16
0
0
17
17
0
0
2
0
8
0
0
6
0
0
0
16
0
9
9
0
8
12
0
0
0
0
0
0
0
0
8
8
0
0
0
0
1
16
0
24
0
0
0
1
0
0
0
0
8
24
0
0
1
17
16
0
4
1
1
1
4
4
8
8
8
16
16
16
16
24
8
0
52
52
52
52
8
8
8
0
0
8
8
8
8
0
0
0
4
8
8
8
8
0
8
0
0
24
2
8
8
10
8
8
0
0
0
8
4
4
0
0
16
8
0
0
0
2
8
8
8
8
8
16
16
8
8
0
0
0
8
8
16
0
8
16
0
8
0
0
8
8
16
16
16
0
0
16
0
8
8
9
0
0
0
0
0
0
0
27
27
27
16
18
0
1
2
2
2
2
8
8
8
0
8
0
0
0
0
0
8
8
8
0
24
2
0
0
0
0
0
0
0
0
4
4
32
0
0
0
0
0
8
0
0
8
0
16
0
20
16
0
0
0
0
0
8
2
0
0
0
8
8
8
16
16
16
16
16
0
0
16
0
0
0
0
0
33
33
12
0
0
16
0
0
0
1
1
0
8
16
16
8
0
0
0
0
0
0
0
16
16
8
8
8
16
0
0
0
0
8
0
0
0
0
16
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
8
8
8
0
0
8
0
0
0
0
0
2
0
0
0
2
2
2
4
4
16
16
8
8
16
8
8
16
0
0
0
1
0
0
16
16
0
8
8
8
0
9
8
4
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
1
0
0
8
0
0
0
0
0
0
16
16
8
32
32
0
0
16
0
16
0
8
8
0
0
4
4
4
0
8
1
1
1
24
8
8
1
0
0
0
8
8
8
8
16
0
0
0
0
0
0
0
24
0
16
8
8
8
16
8
4
0
4
4
0
0
0
8
8
8
0
0
0
32
32
32
32
16
16
16
0
8
8
24
24
0
0
0
8
16
40
40
8
0
4
4
8
16
2
2
0
0
0
0
6
8
8
8
1
1
0
0
0
8
0
16
16
0
0
0
0
0
8
16
0
8
8
12
8
8
8
8
0
10
10
0
0
8
1
0
25
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
6
4
8
1
8
0
0
8
0
0
0
0
0
0
0
4
0
0
0
16
16
4
4
4
0
0
0
8
8
0
0
0
16
0
0
0
16
1
36
3
3
0
16
16
16
0
0
0
0
1
1
0
0
0
0
16
27
20
20
0
0
10
10
10
0
0
0
8
0
0
0
0
0
0
8
18
8
8
0
0
0
0
0
2
32
12
10
0
20
20
0
16
0
0
0
0
8
8
8
8
0
6
4
0
0
8
16
0
0
0
0
1
0
24
0
8
0
0
0
0
0
0
4
17
17
17
40
0
0
2
16
0
0
60
60
24
8
1
1
16
16
16
16
0
22
0
0
0
24
0
0
0
0
0
8
8
0
8
8
8
0
0
10
10
0
0
0
0
0
0
1
0
0
0
8
0
16
0
1
0
0
8
0
0
16
16
0
16
0
0
0
0
1
0
0
4
4
8
0
0
8
8
0
0
0
0
0
0
0
0
0
0
8
14
0
0
0
16
16
16
0
0
24
24
8
16
16
0
8
8
8
8
8
0
4
4
0
0
0
16
2
4
0
32
8
24
8
0
0
8
8
8
32
32
0
16
16
0
0
0
0
0
2
0
0
0
16
1
0
0
0
16
0
4
0
0
0
0
0
0
0
0
0
0
0
24
8
16
16
0
0
0
0
4
0
16
0
0
0
4
0
1
1
1
8
8
16
0
0
4
0
0
12
12
12
12
12
12
0
0
8
0
28
28
9
0
8
8
0
16
16
16
0
16
2
0
8
0
8
8
8
8
8
0
0
0
0
0
0
0
24
4
20
2
24
8
0
0
0
0
0
16
4
0
0
2
0
0
0
2
2
16
16
16
0
16
1
2
1
8
0
0
8
0
0
2
2
2
40
32
2
0
0
8
16
16
0
16
0
3
0
4
0
0
0
8
0
0
0
0
0
0
0
0
0
0
16
0
0
8
8
0
0
0
0
2
0
0
16
16
32
0
0
8
0
0
0
0
0
8
8
0
48
48
48
48
0
8
0
0
0
0
16
0
0
12
0
0
16
0
8
0
0
8
8
8
8
8
0
0
8
28
33
0
0
0
8
4
16
0
16
16
0
0
0
0
0
0
8
0
24
16
16
0
0
0
4
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
4
17
17
8
8
2
16
8
2
2
0
0
0
0
0
0
0
0
0
0
0
16
0
0
18
8
0
0
0
0
8
0
0
0
32
1
1
8
8
8
0
0
8
32
32
8
0
0
0
0
0
0
8
16
16
19
0
1
15
4
8
16
16
0
3
3
8
0
4
4
0
0
8
8
8
0
8
16
16
16
0
2
16
8
0
0
0
0
0
32
32
32
16
0
0
8
8
8
4
0
0
1
0
0
0
20
8
0
8
8
8
1
6
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
16
16
2
2
0
16
8
0
0
0
8
8
0
0
0
0
0
4
0
0
0
8
5
8
8
8
24
16
8
8
8
0
0
8
8
8
0
0
0
20
0
0
0
16
8
32
2
32
0
0
8
0
0
0
0
0
0
0
0
16
10
0
0
0
4
0
0
8
8
8
0
0
8
0
0
0
4
4
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
13
8
0
0
16
8
8
8
0
0
0
8
22
8
0
16
0
0
8
8
8
0
0
0
0
0
0
0
0
24
0
0
6
6
16
8
8
4
4
0
8
8
8
16
16
0
8
8
8
8
0
8
0
0
16
16
2
16
2
0
1
0
0
3
4
1
0
2
0
0
16
0
0
8
2
2
32
16
0
0
0
0
8
0
0
0
8
24
0
0
18
8
8
0
0
0
0
0
0
0
0
4
8
8
8
0
0
16
8
8
0
4
8
16
2
0
0
40
40
24
16
16
0
16
8
16
1
1
18
8
8
0
0
8
0
8
8
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
16
0
8
0
0
1
0
0
0
0
4
0
0
0
24
0
0
0
0
4
0
20
20
0
0
1
0
18
0
4
0
0
0
0
18
0
8
0
0
4
8
2
2
0
0
5
0
8
0
0
0
24
0
0
8
18
0
0
0
0
0
24
8
8
8
0
0
0
0
0
8
0
0
2
2
4
4
4
0
2
15
18
18
0
0
8
0
0
1
0
4
0
0
8
0
4
8
20
0
16
16
6
6
16
8
2
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
8
8
16
16
0
0
8
0
0
0
0
0
0
0
0
8
0
0
1
0
28
0
0
0
0
16
17
2
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
28
20
0
16
8
0
0
0
0
16
0
0
8
0
0
0
16
0
60
60
2
2
2
2
2
0
0
0
24
2
0
8
8
8
8
16
0
0
0
10
8
0
0
2
2
0
0
0
0
8
0
16
0
0
0
16
0
0
0
0
4
20
20
0
0
0
0
8
8
8
0
0
0
0
2
2
18
0
0
0
0
0
0
0
0
0
0
8
16
16
0
0
0
0
0
0
20
9
16
0
0
8
16
0
16
8
0
24
24
16
16
16
16
0
16
16
16
0
8
0
0
0
8
0
0
16
0
8
8
8
8
8
13
13
0
0
0
0
24
24
16
0
0
0
0
0
0
0
0
0
0
0
8
8
4
4
0
0
0
16
16
19
0
8
8
0
0
0
8
8
8
8
8
0
17
17
17
1
8
8
16
16
1
4
0
4
0
0
0
8
0
16
0
8
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
4
29
8
0
0
2
2
0
0
0
20
0
0
0
0
0
52
0
0
1
8
18
8
0
16
16
8
8
4
1
1
1
0
0
0
4
2
2
0
0
0
0
16
16
0
0
0
16
0
0
0
8
0
0
32
4
4
2
0
8
12
12
16
16
8
8
0
0
2
8
4
0
16
16
16
16
0
0
0
4
4
0
0
0
16
0
0
32
0
0
12
2
0
0
0
17
8
0
0
0
0
4
0
0
16
16
0
8
2
0
0
0
0
2
0
0
0
0
8
8
0
0
0
0
0
8
8
9
17
16
0
8
8
16
0
8
8
0
0
0
1
0
0
0
16
16
8
0
8
8
0
16
4
8
0
8
0
16
16
0
8
0
8
8
1
18
1
0
0
0
0
0
1
1
1
0
0
4
0
0
0
0
0
0
0
8
0
0
0
0
0
0
8
0
0
0
0
0
40
40
16
8
0
0
0
4
2
16
0
0
0
8
0
0
0
0
0
8
0
0
25
8
8
16
28
0
0
8
8
0
2
2
2
2
0
0
8
0
24
0
0
0
16
0
32
32
32
0
0
1
4
4
0
0
0
8
8
16
8
8
8
0
0
0
8
1
16
16
0
0
0
0
0
0
8
25
8
8
0
16
22
16
0
0
8
0
32
16
16
0
0
0
0
0
8
8
0
0
24
0
0
8
8
16
0
0
0
0
0
4
4
0
18
0
0
0
16
16
8
8
8
8
32
0
0
0
0
0
6
6
0
8
0
16
16
16
0
0
2
8
8
16
0
0
4
4
4
24
24
8
8
8
0
8
8
8
8
0
0
2
2
0
8
40
0
0
13
0
16
0
0
0
18
52
0
0
4
8
0
2
0
8
0
0
16
16
4
4
0
0
0
16
0
0
0
16
0
0
0
0
0
8
8
0
8
0
0
0
0
0
0
4
16
0
1
16
24
0
0
0
8
50
0
0
2
0
18
0
8
8
0
0
0
0
0
8
8
8
8
18
16
16
0
0
0
8
16
0
0
0
0
0
16
16
16
0
0
0
8
8
0
0
0
0
0
8
0
13
0
2
8
8
8
8
4
20
8
0
0
2
2
2
2
0
0
0
0
0
8
8
16
8
8
0
0
0
0
0
8
20
2
2
0
0
0
0
16
2
4
0
0
0
0
0
0
0
0
0
0
4
0
0
8
0
0
0
3
8
0
0
0
8
8
8
0
0
0
0
0
0
16
6
6
6
4
8
8
4
4
8
8
4
0
0
0
1
0
28
28
8
0
0
0
1
8
8
8
8
8
0
0
0
4
4
27
27
16
0
0
0
0
0
16
0
0
0
20
20
0
2
16
4
8
8
1
1
16
5
0
8
24
0
0
0
0
0
0
16
8
8
0
0
0
0
0
0
0
8
0
16
0
0
0
0
0
0
8
8
0
0
0
0
0
2
0
0
0
0
0
8
16
16
0
0
8
8
16
0
0
0
0
0
2
2
0
0
8
8
8
8
8
0
0
8
1
1
0
0
0
0
0
38
16
16
4
0
16
16
16
0
8
8
0
2
0
0
0
8
0
0
0
0
4
0
0
0
0
0
0
4
0
4
4
0
0
0
16
0
16
16
16
0
0
0
2
0
26
28
28
0
8
0
0
0
14
14
0
0
0
0
0
16
16
16
4
4
4
0
0
18
18
4
4
8
16
16
16
0
8
8
0
8
8
0
0
0
8
0
0
0
8
8
8
0
0
14
6
6
16
0
8
8
0
0
0
0
4
4
4
4
4
4
4
4
4
4
13
8
0
0
0
0
0
8
0
8
8
0
0
0
0
2
0
0
0
1
1
1
1
1
0
16
0
1
1
1
5
4
0
0
0
8
5
0
1
8
0
0
0
16
1
1
0
0
0
16
0
0
0
0
0
0
0
0
0
8
0
8
40
16
2
16
16
0
4
5
0
0
2
8
4
0
1
0
33
0
4
4
4
2
2
0
8
8
8
8
16
48
0
0
0
8
0
4
0
1
8
0
0
16
7
0
0
16
0
0
0
0
0
16
0
0
10
0
22
22
24
0
6
0
0
0
8
8
8
8
8
8
0
8
8
0
0
0
0
0
0
0
8
0
0
8
0
0
0
0
8
8
6
0
16
16
8
8
0
16
16
16
16
0
0
0
8
1
4
4
0
0
0
4
8
16
4
0
0
4
4
0
0
0
18
0
9
10
0
16
20
20
16
16
0
0
8
0
0
17
0
0
0
0
0
0
0
0
0
0
4
4
4
0
0
0
0
16
0
24
24
0
20
0
0
0
4
0
0
8
8
2
0
0
0
8
0
0
0
0
0
0
0
0
0
25
0
42
42
0
16
16
16
0
16
0
0
16
16
16
16
16
16
0
2
0
0
0
0
16
32
16
8
8
0
0
0
0
16
0
8
2
2
12
8
8
0
16
0
0
0
0
8
8
0
0
0
0
0
0
0
1
8
0
0
0
0
0
0
20
20
0
7
0
0
20
8
0
0
4
0
16
0
8
8
8
4
0
0
0
0
0
4
0
8
0
8
8
12
16
0
12
59
0
0
0
0
0
0
8
8
0
8
16
1
1
1
1
0
0
0
8
0
0
0
0
0
16
16
16
0
0
0
0
0
0
0
0
0
8
8
8
8
2
8
16
0
4
0
8
4
0
4
4
4
0
4
4
4
0
2
16
8
8
8
0
0
0
0
0
0
8
0
0
0
0
0
16
16
0
0
4
8
0
16
0
24
0
0
0
4
0
8
8
8
8
0
0
0
0
0
0
0
0
0
0
8
5
0
0
0
0
0
8
0
16
0
0
0
26
0
0
0
8
0
0
2
0
9
8
8
0
0
4
0
0
8
8
16
0
32
8
0
12
32
32
32
2
6
0
8
8
8
4
4
4
0
0
0
8
8
2
0
0
16
16
0
0
8
8
8
8
8
8
8
8
8
10
10
18
16
8
16
16
2
1
8
8
20
0
1
32
0
32
32
32
32
16
16
8
34
34
8
0
0
16
0
0
0
24
16
8
8
0
32
0
0
0
0
0
8
8
8
24
41
41
24
0
10
10
16
16
16
16
8
8
0
16
0
8
4
2
0
8
16
16
16
16
16
32
32
10
0
0
28
28
1
1
1
1
0
4
0
0
16
16
8
4
4
8
8
8
16
37
0
16
16
16
8
8
17
4
4
0
0
8
16
16
0
26
8
18
2
1
24
0
8
1
0
0
16
8
8
8
8
8
11
2
1
16
0
0
0
60
0
0
24
0
11
8
8
0
0
0
8
8
8
0
16
0
16
8
8
8
16
16
16
1
0
0
8
8
0
8
8
8
8
8
0
16
16
4
4
4
2
2
16
0
0
8
8
10
8
0
0
20
20
6
6
0
0
0
0
0
0
0
8
8
8
0
4
0
0
1
32
16
16
16
2
2
1
1
4
4
4
4
0
0
0
1
16
16
4
4
4
4
4
16
16
0
16
27
16
16
12
16
16
8
0
4
16
16
16
16
16
16
16
8
8
0
0
0
1
0
8
8
16
4
4
8
0
8
1
1
1
0
0
0
26
8
8
8
16
16
16
24
24
24
24
0
1
1
0
0
24
0
8
0
0
0
0
0
0
16
16
16
16
0
0
0
0
0
0
0
32
24
10
8
24
0
0
4
4
4
4
16
16
16
0
0
0
0
16
16
0
0
16
0
16
16
16
16
0
0
1
2
16
8
0
17
0
0
0
0
0
0
8
1
1
1
1
1
1
0
0
8
8
16
0
16
4
0
16
16
0
40
0
16
16
16
16
0
0
0
0
8
1
1
8
20
20
20
4
0
8
8
2
8
0
0
8
8
8
8
8
2
2
16
16
8
16
2
0
0
0
0
0
8
8
8
8
8
8
8
0
8
4
4
4
8
8
8
8
8
1
1
1
18
8
1
1
1
0
0
0
8
8
16
1
1
2
0
4
0
0
17
4
16
16
24
8
0
16
16
1
16
0
16
1
1
1
24
0
0
0
8
8
0
0
4
4
16
16
16
16
8
0
0
0
0
0
0
16
17
17
24
0
8
8
1
1
1
4
4
4
8
8
13
13
0
0
16
8
16
16
16
16
8
2
2
4
20
20
20
20
8
0
8
0
6
8
16
16
8
8
16
16
16
16
16
0
0
8
8
8
8
8
8
0
0
0
8
8
8
8
8
8
0
0
8
16
16
57
8
16
8
4
0
4
8
8
8
8
8
2
16
8
8
8
8
8
4
4
4
0
2
0
0
4
0
0
1
0
0
26
26
8
0
8
42
1
16
16
16
8
0
0
0
20
20
0
0
0
40
16
0
8
8
8
16
16
8
8
8
0
8
16
0
0
0
0
16
16
16
16
16
0
2
2
0
0
2
0
12
12
12
0
0
2
2
32
32
13
8
3
2
2
2
0
16
36
36
36
0
0
4
1
0
0
8
8
8
8
8
8
8
8
8
8
4
4
4
8
8
16
0
8
2
2
2
2
16
0
8
8
8
8
16
16
16
16
16
8
0
0
14
8
8
10
0
0
0
0
8
8
0
0
0
0
8
0
0
8
2
2
2
16
16
0
48
4
4
4
4
4
0
4
4
16
8
32
48
8
0
9
8
5
5
14
8
42
42
8
2
2
2
1
16
0
16
16
4
16
16
24
24
24
24
24
0
0
0
0
0
0
4
0
8
4
0
8
16
16
0
0
0
0
4
4
0
16
8
0
18
0
0
7
0
0
1
0
16
16
1
8
8
24
9
9
32
8
8
2
17
17
20
6
6
22
6
0
4
4
4
16
24
8
8
0
6
0
8
8
8
8
0
16
16
45
32
48
24
1
0
4
56
0
2
0
0
4
4
4
0
0
0
0
0
4
16
16
16
16
16
16
16
16
16
16
0
0
0
8
8
8
8
16
16
16
16
16
4
4
4
42
0
10
10
32
32
32
4
4
0
8
1
8
34
1
22
26
2
16
16
4
0
0
0
16
2
2
0
16
16
16
2
32
4
4
4
8
16
0
0
0
8
1
8
0
0
0
16
16
16
16
16
0
0
30
0
0
0
1
0
0
0
0
0
8
0
0
2
24
16
16
0
0
0
4
4
4
0
0
0
0
12
12
12
12
12
12
0
0
0
0
16
0
0
8
0
0
8
8
8
8
8
8
8
0
0
0
32
32
32
0
0
0
8
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
2
2
4
4
0
0
0
0
8
16
16
16
2
2
2
2
2
16
16
0
0
16
16
16
0
0
0
0
0
0
8
8
8
1
8
8
8
2
2
2
2
16
16
16
16
16
16
8
4
0
0
8
8
4
0
8
8
0
0
0
8
8
0
0
8
8
16
16
16
0
0
10
16
0
12
16
16
2
2
8
8
8
0
0
0
16
16
0
0
0
0
16
0
8
8
6
6
6
6
0
0
4
4
4
0
0
8
8
8
16
16
8
0
0
2
8
8
44
0
0
0
0
0
0
8
1
8
8
8
8
48
0
0
24
8
20
0
0
16
16
16
0
1
24
3
0
0
0
0
0
0
0
16
8
8
0
0
24
0
24
16
8
8
8
8
8
8
8
8
0
0
8
0
0
0
8
0
0
0
8
18
1
16
8
32
32
32
16
8
4
0
8
18
18
4
8
8
0
1
1
1
1
1
0
8
0
16
16
8
8
0
16
8
8
8
0
0
8
8
8
8
8
8
8
16
16
16
16
16
16
16
16
16
16
16
0
35
35
8
8
0
0
0
0
0
0
0
50
0
8
8
0
0
20
20
20
20
4
0
0
8
4
4
4
8
8
0
4
16
8
8
2
2
2
2
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
1
16
24
8
16
16
0
16
16
16
0
0
8
1
1
1
1
16
16
8
8
16
0
8
8
8
8
8
8
8
12
8
16
8
8
16
1
8
8
8
16
16
1
8
8
4
4
4
4
4
4
4
4
4
4
4
4
4
4
16
16
4
16
16
8
0
0
33
0
8
8
8
8
8
0
0
0
0
0
16
32
32
8
8
8
8
21
21
8
8
0
0
16
8
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
4
4
16
0
16
16
1
1
8
8
8
0
0
0
25
8
0
0
16
16
8
8
17
0
8
16
16
8
8
8
8
8
8
0
0
0
0
0
0
0
0
0
8
0
0
16
16
8
16
16
16
41
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
0
0
0
0
0
0
1
2
8
8
8
8
8
8
2
8
0
8
16
0
4
8
0
0
37
0
16
16
24
8
0
0
0
0
0
0
0
0
0
0
8
0
0
8
0
0
0
2
2
2
2
12
12
12
0
0
16
8
8
8
2
8
8
8
8
24
8
8
8
16
2
8
7
7
7
0
0
0
0
1
0
0
0
0
8
0
8
2
2
0
0
8
0
1
1
1
8
8
8
4
8
8
8
0
4
16
16
20
0
2
2
16
8
16
24
8
16
16
16
16
0
6
16
16
16
16
16
0
0
0
5
32
0
0
0
0
0
8
8
8
8
0
0
16
16
16
16
8
8
0
0
0
8
8
8
0
8
0
0
0
8
4
4
24
24
0
0
12
16
16
2
8
0
1
24
8
8
32
32
18
18
0
0
0
0
0
0
0
8
0
0
0
0
0
12
0
1
1
1
1
8
0
0
0
0
0
8
8
0
12
8
8
8
8
8
8
4
13
13
0
0
0
0
0
2
2
2
0
8
16
16
8
8
32
32
32
32
48
0
0
19
19
19
19
19
16
16
16
0
16
16
8
8
8
11
11
2
0
0
0
8
2
0
0
0
0
1
0
0
0
16
8
1
0
16
2
32
0
0
8
8
16
16
16
1
0
2
2
8
8
0
1
1
16
16
16
8
8
16
35
1
8
8
33
0
24
24
16
16
16
1
0
0
0
8
0
8
16
1
16
2
8
8
8
8
8
16
0
4
0
18
0
1
16
16
16
8
8
8
8
8
8
8
1
0
0
16
16
16
16
16
16
16
8
8
18
18
0
4
4
16
32
16
16
0
2
2
1
8
4
4
4
8
8
0
0
0
8
0
0
0
0
0
16
16
12
0
0
0
16
9
9
8
8
0
8
16
0
8
8
0
36
8
8
8
0
0
8
0
0
0
2
2
4
4
0
0
8
8
8
0
16
16
16
16
16
16
16
16
16
16
16
4
4
4
4
0
0
8
16
1
1
1
0
0
0
0
8
1
1
1
1
0
4
8
0
1
1
16
16
16
33
33
0
0
2
2
2
2
8
8
0
0
0
0
0
0
0
0
8
30
30
16
4
38
4
4
4
17
24
24
24
0
0
8
16
16
9
1
1
1
1
27
8
24
2
24
1
1
9
0
0
0
8
8
8
8
1
1
0
16
16
16
16
1
17
1
1
16
16
16
8
8
0
6
0
0
9
0
0
0
0
20
20
4
4
0
8
8
16
16
16
16
24
4
4
0
0
0
8
8
2
2
0
0
2
2
16
16
16
16
8
8
8
12
12
12
16
0
1
0
8
8
0
8
8
4
4
8
8
8
0
8
8
8
0
0
0
0
8
8
8
1
0
33
16
16
16
0
9
8
5
0
0
0
0
0
17
1
1
1
16
8
0
4
4
0
0
0
0
16
16
16
0
2
2
2
16
8
1
1
0
16
16
16
0
8
8
4
0
16
16
16
16
8
8
32
16
8
8
8
8
8
8
0
0
0
1
1
16
16
1
1
1
8
0
0
0
20
8
8
8
0
0
16
8
0
0
4
8
0
0
2
8
4
0
16
1
2
2
2
8
1
1
1
3
2
2
2
4
4
8
8
0
0
8
8
0
0
4
8
8
0
0
24
0
8
16
16
0
16
24
16
16
8
8
8
17
17
48
16
16
24
0
0
0
0
0
8
8
8
0
17
8
24
24
0
0
0
0
16
0
16
16
34
1
32
0
18
18
16
16
0
2
8
0
16
16
16
1
8
0
0
0
12
0
0
0
0
0
24
0
0
8
12
0
0
8
8
8
0
8
8
8
0
16
1
1
1
2
24
24
0
24
24
1
17
16
16
16
16
16
16
16
24
8
8
8
0
0
0
0
0
0
16
16
24
24
24
2
0
0
0
0
0
18
16
16
8
1
0
16
0
0
8
8
1
1
1
1
16
8
8
8
0
28
20
4
0
0
0
0
0
40
40
0
4
4
4
8
0
8
20
4
57
33
0
0
0
16
8
9
1
1
1
14
14
14
14
14
1
0
8
0
8
16
4
16
8
4
4
1
1
0
16
2
0
16
16
16
16
16
8
1
0
0
0
0
16
0
0
0
0
0
0
0
1
1
4
4
4
0
16
8
0
8
8
8
0
0
8
0
0
0
16
24
24
8
0
12
4
2
16
2
2
2
2
2
2
2
2
0
0
0
12
12
12
12
0
24
0
0
8
8
8
8
8
16
1
1
0
16
16
16
0
1
0
8
0
8
8
16
16
0
8
8
0
16
16
16
16
16
0
8
8
8
0
0
0
16
16
16
0
4
0
16
24
8
16
28
0
0
8
4
8
8
8
16
16
16
16
16
8
8
8
8
16
16
0
1
1
16
16
16
0
0
0
16
0
8
8
8
8
0
0
0
32
32
32
0
2
16
16
0
2
2
2
2
0
0
16
0
0
8
0
0
0
0
9
9
0
0
8
8
0
0
32
0
41
16
8
8
8
8
16
16
16
1
1
16
16
8
0
0
4
0
0
16
16
5
5
0
0
0
0
32
4
24
0
18
18
8
16
16
0
8
0
16
16
0
49
49
49
8
0
4
4
4
4
12
0
0
24
0
0
16
0
16
4
4
4
8
32
8
1
16
0
0
0
0
4
16
16
0
17
17
16
16
1
0
0
16
0
1
24
24
1
1
16
0
0
0
0
0
0
0
4
0
0
8
8
0
32
32
32
32
0
16
16
16
16
16
16
16
4
8
0
0
16
16
8
9
9
1
21
21
21
21
13
13
13
2
17
17
17
1
1
32
32
32
32
17
17
17
17
0
2
0
0
0
0
16
16
16
8
8
8
0
1
1
8
0
4
0
8
0
0
0
1
3
4
24
24
8
8
8
1
1
1
1
1
1
1
0
0
10
8
0
0
0
24
24
24
24
0
0
0
8
8
32
32
2
2
0
0
0
9
16
9
9
24
1
1
8
8
8
0
16
16
16
16
8
8
0
8
4
4
4
4
4
1
16
16
16
4
4
2
2
8
16
8
8
8
16
16
16
16
0
0
0
0
16
16
8
2
8
0
0
0
8
4
1
16
16
16
16
0
1
8
0
16
16
8
8
8
0
0
0
0
0
0
1
8
1
18
8
18
18
16
4
48
8
4
4
0
16
16
0
17
17
1
1
4
8
8
2
6
8
8
0
0
0
8
8
8
8
8
8
16
8
8
0
0
8
16
16
0
2
2
1
0
8
8
0
0
0
0
8
0
0
0
0
0
0
8
0
2
4
10
0
0
0
0
0
0
8
1
1
1
1
1
1
0
0
0
0
0
0
8
0
0
0
8
0
0
0
0
1
0
0
0
0
0
0
0
0
0
4
4
4
1
24
1
1
0
1
16
16
1
8
8
0
0
0
0
0
0
0
4
28
0
8
8
0
0
0
8
8
0
0
0
0
0
0
0
4
4
8
8
0
0
8
8
16
16
16
32
0
0
8
8
8
18
18
2
16
39
1
1
1
23
4
4
4
4
1
1
4
4
0
8
8
0
24
16
8
16
8
8
0
8
0
1
1
2
0
0
8
8
16
1
1
34
0
0
8
35
8
0
0
0
0
0
0
16
16
0
0
0
0
4
0
8
0
0
0
0
16
1
1
4
8
8
0
8
8
16
2
2
2
2
0
0
0
8
0
0
0
8
8
8
0
0
0
0
0
10
24
24
24
16
16
16
0
0
8
8
2
2
4
2
0
2
16
16
16
16
16
1
1
32
16
0
16
16
1
16
4
0
32
32
32
32
0
16
24
18
18
18
18
18
0
1
8
0
0
16
16
16
0
8
0
0
0
8
8
18
0
0
0
4
4
0
0
16
8
16
8
0
0
8
8
0
0
0
0
0
12
8
0
0
8
8
1
8
4
16
16
16
16
0
0
16
16
0
4
8
0
2
2
16
4
1
4
0
8
8
8
8
8
16
16
8
1
1
34
0
0
0
0
0
0
17
0
0
0
1
25
32
0
8
16
16
0
8
16
8
8
8
4
0
8
0
0
8
16
0
4
1
1
0
0
8
0
8
8
4
4
4
4
4
4
4
0
26
0
0
0
8
1
0
0
32
16
8
8
8
0
1
16
24
24
24
8
0
0
1
1
8
8
16
0
20
20
20
0
0
0
0
0
1
1
3
3
0
8
0
0
8
8
8
8
8
16
16
0
12
12
12
12
12
8
8
8
8
8
8
8
0
0
16
16
8
8
8
16
8
8
8
8
8
0
0
0
0
0
0
4
0
0
0
4
16
16
16
8
0
0
8
8
8
0
0
0
0
8
8
16
8
1
0
0
0
1
16
0
0
1
1
1
1
17
0
0
8
0
0
0
4
1
0
0
0
0
0
1
20
16
2
16
41
8
12
0
8
1
0
0
0
0
0
0
0
0
16
16
16
0
1
16
0
8
8
8
4
0
10
10
10
4
14
8
8
8
1
1
40
1
8
8
8
4
8
4
4
8
8
40
0
0
8
6
0
8
8
8
8
0
0
8
8
2
0
0
0
0
8
0
4
13
8
8
8
8
0
8
8
4
24
8
8
4
4
32
32
8
8
8
0
0
8
0
16
16
16
2
16
1
0
16
12
8
16
32
20
0
0
24
24
0
0
0
0
0
8
2
2
8
8
0
0
0
0
0
8
8
0
8
16
16
16
0
8
8
24
16
16
16
16
16
0
0
0
32
32
32
16
16
16
16
16
0
8
0
0
0
16
16
0
0
8
8
16
24
0
0
8
24
24
0
0
16
0
25
1
0
8
0
8
0
8
8
8
0
0
0
0
0
24
0
16
16
16
16
8
8
8
1
0
8
8
4
0
0
0
16
8
8
8
8
8
8
0
20
4
0
2
4
4
4
1
0
0
0
16
0
0
4
4
4
4
4
0
0
0
8
8
8
8
0
0
16
16
16
16
16
16
16
24
0
0
0
0
8
8
8
8
16
24
2
8
8
16
8
24
4
4
4
4
4
4
8
8
0
0
0
8
8
9
9
9
8
8
8
8
12
12
0
4
4
0
0
0
0
0
0
8
2
4
4
0
16
16
4
24
8
0
0
2
1
1
0
1
1
0
4
4
0
1
16
0
0
0
0
0
8
0
2
2
8
0
0
8
8
8
0
0
24
24
16
0
16
0
0
8
0
0
6
0
16
16
16
16
32
32
0
0
0
8
8
8
0
2
0
0
0
16
24
28
24
8
0
4
16
0
4
8
2
0
0
0
2
0
8
0
0
0
0
0
0
0
4
4
0
1
1
1
1
34
0
0
8
8
16
16
16
0
2
2
16
16
8
8
2
8
0
0
0
0
0
0
0
0
16
1
1
0
24
0
1
0
16
4
4
4
10
16
24
16
16
2
0
4
0
0
5
16
4
4
8
8
0
16
32
32
8
8
8
8
8
0
2
2
2
2
8
0
0
0
0
8
0
2
2
2
2
8
0
0
0
0
0
4
8
8
8
8
8
3
1
1
1
8
0
8
8
8
8
8
8
2
2
0
0
17
17
48
16
24
1
4
0
0
24
24
8
0
16
0
8
8
32
32
16
0
0
0
8
8
18
4
22
4
20
16
8
10
16
8
8
4
16
0
0
0
0
0
0
8
8
0
0
0
1
0
16
16
8
0
0
0
1
4
0
0
0
0
0
2
2
16
16
0
0
0
0
0
0
0
0
8
8
8
8
0
0
0
8
0
0
2
8
8
8
8
2
8
0
16
20
2
8
8
8
0
0
16
16
33
33
16
16
0
0
8
0
0
0
8
8
8
8
4
4
8
8
8
16
1
0
0
0
0
0
0
1
0
8
16
16
16
16
16
0
0
12
28
12
12
12
12
8
16
16
16
8
24
24
1
1
1
1
1
1
0
16
16
16
8
0
17
1
0
8
16
1
1
48
48
48
48
16
16
19
19
19
0
0
0
20
16
2
8
8
0
0
8
0
0
16
2
0
0
0
2
16
8
8
1
1
1
0
0
8
4
9
33
33
33
21
21
8
2
2
16
16
16
8
0
16
16
16
8
37
0
4
4
4
0
2
24
16
16
16
0
0
8
1
24
24
24
24
4
0
18
0
16
48
48
8
8
8
8
8
8
8
0
0
8
8
0
2
0
0
0
2
2
2
8
16
20
20
0
0
1
16
16
16
16
16
16
8
8
1
8
8
1
1
16
16
24
24
24
24
0
0
1
8
26
24
0
8
9
0
0
16
17
17
17
17
8
0
0
0
24
0
8
0
8
8
0
2
2
2
1
0
0
8
0
0
0
16
6
32
0
0
0
0
0
0
1
1
29
8
8
16
16
4
4
2
24
16
16
8
8
0
8
8
8
8
8
8
8
0
17
17
17
0
0
0
0
16
16
0
0
12
12
0
1
1
0
0
0
0
16
16
0
8
12
32
32
32
0
0
0
0
16
4
12
16
28
16
0
36
2
2
16
16
16
16
16
16
8
8
32
32
0
0
16
16
16
32
32
0
0
0
16
1
8
0
0
0
2
0
0
0
0
8
8
8
8
8
8
0
0
16
0
0
0
0
0
0
4
4
0
4
1
8
8
8
8
8
8
8
8
16
16
0
0
32
6
6
8
8
8
8
8
8
0
4
8
0
0
8
8
8
0
32
32
16
16
20
20
20
24
8
8
8
8
8
8
24
8
8
8
0
0
0
0
0
8
8
8
8
8
8
8
8
16
16
1
0
0
0
8
8
8
0
0
0
8
0
0
8
8
1
16
0
0
0
0
8
8
22
0
0
0
0
16
16
16
8
0
0
0
0
8
0
0
16
16
0
12
8
8
8
8
8
8
8
8
8
8
24
0
0
0
1
1
0
8
0
1
1
0
10
8
16
16
16
0
8
8
16
0
0
8
24
8
8
8
2
0
2
8
8
0
16
8
2
2
8
8
5
0
0
0
0
0
8
8
8
2
16
16
8
2
0
0
0
0
0
0
8
0
8
8
16
16
16
16
16
16
16
0
4
2
0
4
16
16
0
0
16
16
4
4
1
2
2
2
16
16
16
16
16
16
0
4
8
8
16
0
0
0
8
8
8
8
8
8
4
8
1
8
2
8
0
0
2
8
0
8
16
4
8
8
0
0
4
8
8
0
0
16
16
0
0
8
10
16
16
16
16
32
7
0
0
0
4
0
8
18
4
4
4
8
8
8
8
16
0
0
0
0
0
0
5
16
8
0
0
0
0
0
0
2
27
0
0
0
0
16
16
0
4
8
8
8
32
8
8
8
0
32
32
0
2
16
0
1
0
4
16
16
16
0
21
8
2
2
2
2
1
37
0
1
1
8
0
8
8
1
1
2
0
1
1
0
0
0
16
8
8
8
4
0
0
0
0
0
0
16
4
4
16
16
0
0
0
0
0
9
8
8
8
8
16
16
16
8
8
17
32
20
12
1
0
16
16
0
0
8
8
16
8
8
8
16
2
12
12
16
2
0
4
4
4
4
12
0
0
8
8
0
1
1
1
2
2
2
0
0
0
1
0
16
16
16
1
2
2
2
17
17
17
0
0
33
33
33
35
0
0
0
16
0
16
16
8
8
8
0
0
0
8
2
16
16
16
0
24
16
8
40
4
4
16
16
1
1
1
16
8
0
1
1
1
1
8
8
16
0
16
16
16
8
8
16
16
0
0
8
8
8
16
0
0
4
4
0
0
8
8
0
16
8
8
8
16
16
16
1
1
1
1
1
1
1
1
1
1
1
8
16
1
1
1
0
0
0
0
0
4
8
0
8
8
8
24
8
0
8
8
0
8
8
8
2
2
2
2
0
9
24
16
4
16
0
0
0
0
0
0
0
17
16
16
1
1
8
8
0
0
24
8
8
0
8
8
8
8
12
8
8
24
24
8
8
0
0
16
0
4
0
20
20
8
10
8
2
0
0
0
0
4
16
0
0
8
8
8
8
16
20
16
0
0
0
16
16
16
8
8
0
0
8
8
0
16
8
0
12
12
12
8
1
8
0
1
0
24
24
24
24
8
8
8
8
8
4
0
8
0
0
0
8
16
16
0
0
8
4
4
0
8
8
4
24
24
32
0
4
16
0
0
16
16
1
0
24
0
0
0
2
8
8
0
0
0
0
4
4
4
4
4
0
0
0
0
8
8
10
8
20
16
1
0
8
0
0
0
0
16
16
8
0
16
16
16
1
1
0
0
0
0
1
16
0
0
16
16
8
8
8
0
0
16
48
48
0
0
9
9
9
0
0
0
0
20
20
20
20
8
8
24
8
0
8
25
25
25
25
8
8
16
16
16
0
0
20
16
4
16
16
8
8
8
0
4
16
16
16
0
24
0
16
16
0
2
0
0
0
1
9
18
18
0
0
24
24
8
4
4
0
0
8
20
16
2
2
0
9
9
0
16
0
0
0
0
8
16
16
16
0
0
0
0
0
0
0
25
8
8
8
48
48
0
0
24
24
16
8
0
0
16
24
16
16
9
1
8
8
8
9
9
9
9
9
0
0
0
24
0
8
16
16
8
16
16
8
1
4
4
17
4
8
8
8
8
1
0
8
0
8
0
0
8
8
8
8
0
0
20
16
16
16
0
1
0
0
8
8
8
8
16
16
0
4
4
8
8
8
16
8
1
19
0
20
20
20
2
2
16
16
16
16
16
16
16
16
16
16
8
8
8
8
4
4
4
4
4
2
2
4
4
8
0
16
0
4
4
4
0
16
16
1
1
1
0
0
0
0
8
1
16
1
1
20
20
0
4
2
2
0
0
16
16
16
16
16
16
1
8
8
1
0
0
0
0
8
32
0
8
8
8
4
2
2
8
8
8
2
0
16
32
0
0
0
2
8
8
0
16
24
24
2
2
0
0
0
8
8
0
16
16
16
16
16
0
0
0
32
32
16
10
1
1
1
0
8
8
8
8
16
0
0
8
8
0
16
0
8
25
16
16
16
0
4
4
4
4
8
16
16
8
8
0
16
16
16
16
8
8
8
8
0
0
0
0
0
0
32
32
20
0
16
8
8
0
0
1
8
8
0
16
0
0
0
0
8
8
8
16
32
16
16
0
0
0
8
8
16
16
8
8
1
1
2
1
1
1
8
1
1
1
1
16
0
0
0
0
0
8
8
16
8
0
0
0
8
0
32
32
8
12
4
4
32
2
0
8
16
0
1
1
0
32
16
16
16
0
4
20
16
0
0
8
0
41
41
16
0
0
0
0
18
18
18
0
20
20
20
20
0
32
0
32
0
0
8
8
8
8
0
16
4
0
0
0
4
0
8
0
0
0
0
0
0
8
8
8
0
0
0
0
0
24
24
24
24
1
8
2
0
0
0
0
32
8
0
0
0
2
2
2
16
0
8
4
6
0
0
0
0
8
16
0
4
4
8
0
0
20
4
24
8
16
1
28
28
24
0
0
0
8
8
8
0
0
0
0
8
8
28
0
4
8
8
0
0
24
0
0
0
0
0
16
8
8
0
0
0
8
0
2
2
2
0
16
16
16
16
16
0
0
4
0
8
8
0
8
16
16
16
9
16
40
40
0
0
0
0
0
16
0
0
24
0
4
0
0
18
18
8
0
0
0
0
0
0
17
0
0
8
16
16
8
0
0
0
0
0
40
40
9
8
0
0
0
0
16
0
0
1
0
0
0
0
4
4
4
8
8
8
8
8
8
0
4
4
4
2
2
16
0
8
1
0
22
2
16
10
2
2
8
0
8
1
8
16
16
16
0
18
16
8
1
1
1
0
8
8
8
0
1
1
1
0
24
0
0
32
32
8
1
16
0
0
0
0
0
0
0
0
16
2
2
2
32
32
8
8
8
0
0
8
4
17
17
0
0
0
16
16
16
16
2
8
8
8
8
8
8
0
0
8
0
0
16
16
24
24
24
24
8
0
0
0
0
0
4
16
16
8
16
8
8
0
8
0
0
8
0
0
16
16
8
24
0
8
18
1
0
0
16
0
8
8
8
8
8
0
0
0
8
32
32
16
8
8
8
0
0
0
0
8
8
0
4
0
0
8
1
21
2
0
8
4
0
0
16
0
0
16
0
0
16
0
0
0
10
8
8
0
1
1
0
1
8
8
8
8
26
8
8
0
1
0
0
0
0
2
8
0
0
1
1
1
16
0
0
0
0
0
0
1
1
12
16
14
16
1
4
4
1
8
8
0
0
0
8
8
16
0
2
2
24
16
0
16
2
2
2
2
2
2
2
2
2
0
4
4
4
32
32
8
8
8
8
16
0
0
8
0
0
16
16
16
2
2
2
8
8
0
8
8
8
0
1
2
2
1
2
2
2
2
2
8
0
8
20
16
24
24
4
8
0
32
38
38
0
8
6
6
1
8
8
16
16
16
25
1
0
0
2
2
2
0
0
1
0
0
4
0
8
0
1
8
1
1
9
8
8
0
2
0
0
0
25
2
2
16
0
8
0
24
0
0
33
16
0
16
16
8
0
0
8
16
32
0
0
0
8
8
16
16
16
24
0
0
4
4
8
10
0
0
0
0
0
0
0
0
0
0
8
4
0
4
4
25
0
1
8
8
0
8
0
0
0
0
0
16
36
36
36
16
16
32
16
8
0
16
2
2
2
0
8
8
0
2
0
0
0
0
0
8
0
0
4
0
7
16
0
0
8
8
8
8
16
1
1
0
8
0
0
0
1
0
16
2
2
8
0
8
0
22
22
8
0
0
1
8
0
0
0
0
0
0
0
0
0
0
8
8
8
0
6
16
0
0
0
16
16
8
0
16
0
16
16
16
8
8
0
8
8
8
4
4
4
4
4
0
21
1
2
0
35
20
0
8
8
8
8
8
8
8
8
16
16
24
16
0
0
0
0
40
2
45
45
45
0
0
4
0
0
0
8
2
2
16
24
24
16
8
8
8
8
16
1
4
8
8
0
8
2
18
16
0
4
4
0
24
61
61
24
32
32
32
4
4
0
0
0
0
8
16
18
0
16
1
2
2
24
24
0
0
0
0
0
0
9
9
0
8
2
2
2
2
2
2
2
0
0
16
16
16
16
16
8
8
8
1
0
0
0
0
0
0
0
8
4
4
8
8
8
8
8
16
16
16
0
0
0
0
0
16
8
8
16
8
22
22
22
0
32
32
0
0
0
42
42
0
8
0
0
8
2
2
4
0
8
8
2
2
2
2
0
0
4
32
8
8
0
0
0
0
0
0
0
0
0
8
8
17
17
0
16
16
0
9
9
16
0
4
0
0
0
1
16
16
16
16
0
8
1
1
16
8
16
16
16
16
16
16
16
32
32
0
0
0
8
8
8
8
8
0
5
5
5
5
5
24
24
24
8
16
16
16
16
16
16
8
8
0
32
32
0
0
0
8
8
0
0
0
16
1
8
0
24
0
8
0
8
8
8
0
0
0
2
17
8
8
8
8
1
0
0
0
0
0
0
32
0
0
0
16
16
2
2
2
4
8
8
8
0
18
18
0
0
8
8
0
0
0
16
8
4
4
4
4
4
2
0
0
24
24
24
0
2
8
0
1
4
4
4
4
1
1
8
60
0
16
16
16
0
4
4
4
4
4
24
0
0
16
1
4
0
0
0
2
32
32
9
9
9
12
12
8
8
18
18
18
7
7
7
2
0
0
0
0
0
0
0
0
8
16
8
8
24
0
0
16
0
0
8
2
6
4
0
0
0
8
8
0
0
0
8
8
0
0
0
0
8
16
16
16
16
16
16
0
0
8
0
8
8
0
0
8
16
16
0
0
0
0
0
0
0
0
8
8
0
8
1
0
8
0
0
1
16
16
2
2
2
9
0
0
4
0
20
0
16
16
16
0
0
0
16
16
24
4
0
0
0
0
0
0
0
0
0
0
4
8
41
41
0
0
0
8
8
8
8
8
8
8
8
8
8
1
1
0
1
16
16
0
0
8
4
2
2
8
8
20
0
8
0
2
2
2
2
2
52
52
52
0
0
0
0
0
0
0
0
8
8
8
8
24
16
16
0
29
2
0
0
0
8
8
0
0
0
16
16
16
20
8
0
16
8
1
1
16
6
0
16
16
0
0
0
0
0
0
0
12
20
8
0
0
8
8
2
16
8
8
18
3
0
16
16
0
8
0
0
8
8
8
0
16
16
16
16
8
8
8
0
0
0
25
25
4
4
4
4
0
0
0
0
0
32
32
4
0
16
16
8
0
0
0
0
0
0
1
1
1
0
0
2
2
16
10
10
11
0
17
16
1
0
0
0
8
8
10
10
0
4
4
16
16
0
24
4
8
16
8
0
0
8
9
9
8
8
8
8
4
9
8
8
8
0
0
0
32
0
0
0
0
16
3
2
2
56
8
8
0
0
16
16
16
0
0
1
0
16
16
16
0
0
0
2
16
32
32
16
8
8
8
0
0
0
0
1
4
8
8
28
32
12
0
0
16
16
1
1
0
0
16
16
16
16
16
16
0
8
8
8
17
17
17
17
17
2
16
0
0
0
16
0
8
2
24
4
4
2
0
0
0
0
0
16
8
8
0
26
1
0
0
0
4
4
0
0
4
5
8
8
16
8
16
16
0
8
8
8
8
8
0
14
14
16
0
0
0
0
0
0
0
16
16
0
0
0
0
0
4
4
4
4
8
0
32
2
2
0
4
0
0
0
0
0
0
0
16
16
16
4
4
8
2
16
8
8
8
8
8
0
0
0
0
0
0
1
8
1
1
1
1
1
32
0
0
0
2
2
8
10
10
0
0
0
0
0
0
16
0
16
16
0
0
0
0
0
8
8
0
0
16
0
2
8
8
8
8
8
8
8
8
8
8
8
16
0
0
0
0
0
25
8
8
8
0
1
9
9
9
0
8
8
0
0
1
8
8
8
8
16
16
0
0
8
22
22
22
22
22
0
0
32
32
0
10
10
8
0
0
0
8
24
2
1
16
0
0
0
0
0
8
9
8
4
8
0
0
0
0
0
0
29
0
16
24
24
52
0
0
0
16
2
0
8
8
8
8
8
9
0
0
0
0
0
2
2
16
0
0
32
8
8
8
16
16
16
16
0
0
0
0
0
0
16
8
16
16
16
0
0
0
16
2
2
16
16
8
32
8
8
16
16
16
16
16
4
4
16
4
0
0
16
16
0
0
16
8
8
1
0
0
8
8
16
16
16
8
8
4
4
2
4
8
16
16
0
24
0
0
16
4
4
16
8
0
0
0
0
0
0
0
0
0
0
24
1
1
1
1
8
1
1
48
32
32
12
12
0
24
0
0
8
8
4
4
4
0
16
0
0
8
8
0
16
0
0
0
0
0
0
24
24
8
8
0
16
16
16
16
0
0
0
0
0
4
8
8
0
16
16
16
33
32
1
16
0
0
0
0
0
0
0
4
0
0
0
0
0
8
0
8
16
0
0
0
0
0
0
8
8
8
8
8
0
0
0
0
8
4
8
8
8
8
0
0
0
0
0
0
0
8
0
4
4
0
0
16
0
8
8
8
0
32
32
32
0
8
8
16
40
0
0
8
0
0
0
8
4
0
0
0
8
4
4
0
0
0
0
0
8
8
8
0
0
0
0
0
0
8
8
2
2
0
0
0
0
0
16
0
16
16
0
0
16
16
4
4
4
4
0
0
1
14
14
8
8
8
8
8
4
1
1
0
8
8
16
16
8
8
8
0
0
0
12
12
0
18
18
18
18
18
16
16
16
16
21
8
8
0
0
0
16
0
0
29
32
32
32
16
16
0
0
1
0
0
3
3
3
2
8
24
24
24
0
16
8
0
0
0
0
0
0
8
8
8
8
8
4
16
0
0
0
0
0
0
32
32
32
16
0
16
24
2
2
2
0
0
0
0
0
0
0
0
28
28
4
4
4
4
4
0
8
8
8
8
8
16
16
16
16
8
1
1
16
0
0
0
17
16
4
0
0
1
24
24
24
24
24
0
0
0
16
8
16
3
1
2
2
32
32
0
51
13
13
0
0
0
0
0
0
4
0
16
4
4
0
0
24
12
16
16
8
8
8
0
16
16
16
16
0
0
8
0
0
8
2
18
18
0
16
2
8
4
4
4
1
1
1
1
8
0
0
0
16
16
16
0
0
0
0
0
1
8
8
8
24
24
24
4
4
0
0
8
0
0
16
0
16
2
32
32
32
32
32
32
32
0
32
0
0
0
8
8
12
12
12
8
8
8
8
8
8
0
8
0
0
0
16
16
16
16
16
16
4
4
4
2
20
20
0
0
0
41
41
41
0
0
0
0
0
16
0
16
0
0
8
8
8
8
8
9
1
1
1
1
0
16
1
1
16
0
0
16
16
16
16
0
9
0
0
0
0
0
16
16
8
8
0
0
0
0
1
0
0
32
32
32
32
16
16
16
8
8
8
8
8
8
8
8
8
8
8
8
0
16
24
24
0
24
24
0
0
0
16
16
1
1
1
1
8
0
9
8
8
1
8
8
0
0
0
0
0
0
24
0
0
2
0
0
18
0
0
0
1
0
32
8
4
4
20
0
8
8
4
0
32
8
0
8
0
0
0
4
4
8
8
8
16
32
32
32
32
32
32
8
4
4
0
0
8
8
8
1
17
17
8
0
8
8
8
16
8
16
8
8
8
0
1
0
16
16
16
0
0
0
0
8
0
2
2
2
2
2
1
0
26
0
24
24
16
0
0
8
41
0
0
8
8
0
16
16
16
0
0
16
0
0
0
0
0
50
16
24
0
0
0
1
2
4
4
4
8
8
8
8
8
8
8
8
16
8
4
1
0
16
8
0
8
51
16
16
8
16
16
1
16
16
0
2
2
2
1
0
16
16
0
0
0
0
0
0
0
0
0
0
0
16
16
8
8
16
1
1
2
16
0
16
8
8
8
0
0
0
8
0
0
0
0
24
16
8
2
0
32
32
32
0
0
20
16
16
16
17
17
20
16
44
0
24
24
0
0
2
2
8
8
19
19
19
3
16
2
2
0
32
32
8
8
0
16
0
0
8
16
32
32
0
8
16
16
16
0
0
0
0
0
0
24
24
16
8
8
8
8
2
0
8
0
2
2
0
16
16
4
8
0
0
16
0
16
16
4
0
1
0
0
24
0
0
0
0
0
8
0
0
8
8
1
0
4
4
17
17
1
1
1
1
1
4
8
8
8
8
8
8
0
0
8
8
8
8
0
0
0
8
8
8
16
6
0
0
0
0
0
32
32
8
8
8
0
8
8
9
0
0
0
0
0
0
0
0
0
9
0
0
0
0
0
0
0
0
0
8
6
2
8
8
4
4
4
0
1
16
0
0
0
0
0
0
13
8
8
8
8
8
16
16
0
2
2
8
8
8
8
8
8
8
8
16
0
32
29
29
29
0
8
8
8
16
16
16
0
0
48
48
48
0
0
4
4
0
14
14
8
16
4
4
20
16
32
24
16
0
8
8
0
0
0
0
8
8
0
8
8
0
0
2
8
0
0
16
17
0
16
0
0
0
0
0
16
16
16
16
16
1
1
23
23
23
23
23
23
23
23
23
23
16
16
16
16
16
16
4
4
0
22
0
1
1
1
16
0
1
8
8
8
0
0
0
0
0
0
0
8
0
16
16
8
0
0
0
0
18
8
8
0
8
0
8
8
0
0
8
8
8
2
2
8
0
16
16
16
16
16
8
40
56
0
0
8
8
8
0
0
40
40
40
40
40
0
0
0
0
0
0
0
16
8
4
8
0
0
0
8
8
0
0
0
0
8
8
0
0
16
16
8
8
8
8
8
8
0
8
2
0
0
24
24
24
8
8
8
8
16
42
42
0
16
16
16
0
1
1
4
0
8
8
8
16
0
2
0
0
0
16
16
8
0
8
8
16
0
0
0
8
16
0
8
32
32
0
0
4
8
0
8
8
0
24
0
0
0
0
0
0
0
0
0
0
0
0
5
5
5
5
4
0
1
0
0
0
18
8
8
9
9
9
0
0
1
8
4
40
8
8
8
8
36
36
36
36
36
36
0
1
0
0
0
16
16
16
0
26
26
0
8
0
0
0
0
4
4
4
16
16
16
16
8
8
16
16
16
16
8
8
16
16
0
0
0
0
8
8
8
8
4
4
4
16
16
16
0
48
0
0
0
0
0
12
12
12
12
8
8
2
2
32
32
1
16
4
0
0
9
0
0
8
0
16
8
24
24
0
0
1
1
5
5
8
2
16
16
8
8
8
16
0
0
8
8
8
8
2
16
20
20
20
20
20
8
8
8
8
4
4
4
16
16
8
4
8
0
0
8
2
2
16
4
4
0
4
0
16
16
0
0
8
32
16
16
16
16
8
0
16
24
10
8
24
0
0
16
16
0
16
16
0
0
0
0
0
34
16
16
16
32
40
40
0
0
8
17
16
0
0
8
0
16
16
16
16
0
8
0
0
8
8
6
0
16
0
0
0
0
16
16
16
4
4
0
0
8
16
16
16
8
8
8
4
4
0
0
0
0
58
58
4
4
4
0
8
8
8
8
0
16
0
16
16
32
8
8
0
24
24
0
16
0
1
33
33
33
0
0
8
0
0
8
0
0
0
5
5
5
5
8
8
16
0
0
2
0
0
0
4
4
0
0
0
0
8
8
8
8
8
0
0
0
8
8
16
16
4
16
0
0
0
16
8
0
0
0
16
16
8
8
0
1
8
8
8
8
8
2
8
8
16
0
8
2
2
2
0
0
0
0
1
8
0
4
32
0
0
0
16
1
0
0
8
0
0
33
0
0
0
8
8
0
4
20
4
2
8
8
8
1
1
8
16
8
32
32
32
32
32
8
8
4
4
16
16
8
8
8
16
8
0
4
2
2
2
2
0
8
8
8
0
0
8
8
0
0
0
2
2
2
16
8
0
8
16
16
16
0
0
0
0
8
0
26
0
0
0
0
4
4
4
8
0
8
8
8
0
16
16
1
1
1
50
50
50
0
16
16
8
33
1
16
16
0
0
0
0
0
0
8
8
8
0
8
8
0
0
0
8
0
16
16
8
4
2
2
1
0
0
0
0
0
0
0
0
0
8
9
0
0
8
16
16
0
0
16
2
0
0
0
0
0
0
24
8
8
8
0
8
8
16
0
16
8
8
8
1
8
8
8
1
8
0
1
0
4
0
9
8
8
8
0
0
0
8
24
0
8
8
8
0
16
0
0
8
0
32
32
24
0
0
0
4
0
0
0
0
0
0
16
0
8
32
8
2
2
8
8
8
8
0
8
8
0
4
4
16
24
16
16
9
8
8
8
8
8
8
8
8
0
0
0
8
8
8
16
1
1
1
4
8
0
1
4
0
8
32
0
8
8
8
1
0
16
0
9
6
6
0
0
0
0
0
0
2
16
16
16
0
16
16
16
12
0
1
16
8
8
8
0
8
16
16
6
8
4
8
8
4
8
8
8
8
24
16
0
16
16
16
8
8
0
0
0
16
16
0
0
0
8
0
0
0
8
8
1
1
1
24
24
8
8
8
18
0
16
12
12
0
0
1
1
0
19
2
8
18
2
12
12
8
0
0
16
0
0
0
0
0
16
16
16
4
16
0
0
6
2
2
24
6
0
52
16
16
8
1
0
8
8
24
24
24
0
4
0
0
0
0
0
0
0
0
0
0
8
8
0
0
18
8
12
12
8
8
9
0
0
0
16
0
0
0
0
16
16
8
16
0
0
0
16
1
1
0
0
0
0
32
8
0
0
4
0
8
32
0
8
8
32
0
5
5
5
1
1
16
16
0
0
4
0
2
0
0
4
4
16
2
2
16
16
16
16
16
8
8
8
8
16
16
8
2
2
2
2
32
37
32
1
1
8
8
16
16
2
2
2
4
4
4
0
8
0
0
18
8
16
0
0
16
16
16
16
0
0
16
16
16
16
8
2
2
2
2
2
16
16
16
0
0
0
0
0
2
2
2
0
9
9
8
0
0
0
16
0
2
2
32
8
8
8
8
1
1
1
4
1
10
10
0
0
6
6
6
8
8
17
17
16
8
16
0
0
8
8
42
42
0
0
3
8
4
8
8
8
0
8
8
8
0
16
16
16
8
8
8
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
16
16
0
0
0
4
0
0
0
28
12
4
8
8
8
0
0
0
0
4
26
4
4
0
0
8
0
4
0
0
8
18
1
1
1
4
4
0
0
16
16
0
8
8
0
0
2
2
0
16
0
8
8
8
16
16
16
16
8
8
9
0
2
2
8
0
1
2
28
1
1
0
0
16
0
0
8
8
8
8
0
0
8
1
1
0
16
8
0
4
4
8
0
0
16
16
16
2
16
8
0
1
1
1
1
4
4
0
0
0
2
2
0
0
2
2
2
0
0
0
0
0
1
8
2
0
0
16
16
16
8
8
8
0
0
0
0
16
16
16
16
16
16
16
16
8
0
0
0
0
8
8
16
0
0
0
0
8
8
0
32
32
0
16
16
16
16
0
10
1
1
1
1
0
16
16
16
16
16
16
0
2
2
24
1
0
1
1
0
0
8
4
4
49
16
12
0
0
0
0
8
8
0
0
0
1
32
32
10
16
10
17
17
2
1
1
2
2
2
0
0
16
16
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
8
0
16
16
16
16
16
16
16
2
18
0
9
16
1
16
16
0
0
2
2
8
0
0
0
5
8
0
0
0
0
16
0
1
8
0
0
0
16
1
0
8
8
16
4
4
4
8
8
8
0
8
8
16
1
8
0
0
4
4
4
4
0
0
0
8
8
8
0
1
8
0
0
0
1
0
0
0
0
0
0
0
0
8
2
2
16
16
16
8
48
2
8
8
8
8
24
16
16
16
16
16
0
0
0
0
0
0
32
32
8
8
8
0
0
16
16
16
0
0
20
16
0
20
20
20
1
1
1
0
0
0
8
8
32
0
8
8
16
0
0
8
8
8
8
8
0
0
0
8
8
8
0
0
8
8
0
0
8
0
8
0
0
8
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
8
0
0
8
0
8
8
8
24
24
0
0
0
0
0
0
2
0
0
0
0
0
16
9
9
9
8
25
25
0
0
0
0
0
0
0
0
0
0
0
0
8
4
0
0
0
0
0
0
8
16
0
0
0
0
16
16
0
0
0
8
0
0
0
8
8
0
8
2
16
16
16
16
16
21
20
20
20
8
21
21
21
21
21
8
8
0
0
0
0
0
0
0
0
0
0
8
8
8
0
8
2
4
4
16
16
2
2
8
8
16
16
16
16
16
8
16
0
0
8
8
0
0
32
32
32
32
0
4
8
8
8
4
4
0
2
4
4
25
0
0
8
8
8
8
8
8
8
8
8
0
0
0
0
0
16
16
40
16
49
0
2
2
0
2
0
0
8
8
4
4
4
4
16
16
2
12
8
8
0
0
0
0
16
16
0
8
8
16
8
8
16
16
14
14
14
14
14
14
14
1
1
2
2
0
0
8
16
0
0
0
17
0
16
16
16
8
0
0
16
16
1
0
16
0
0
0
0
1
1
1
24
24
12
12
24
24
16
16
16
8
0
0
8
8
8
8
0
0
8
0
0
0
0
0
0
0
16
16
16
16
8
0
0
0
0
0
0
0
0
13
0
16
20
0
2
0
16
8
8
40
40
40
40
0
0
0
16
16
16
4
0
8
8
8
32
0
16
0
0
0
0
16
16
16
8
32
8
0
16
10
0
12
0
0
32
8
8
16
32
32
1
0
0
8
16
8
8
8
0
0
0
16
0
0
0
0
0
0
0
0
8
8
8
1
1
8
4
28
16
8
0
0
0
4
8
8
8
16
8
8
4
16
0
9
9
16
8
0
18
1
1
1
2
0
8
0
16
16
16
16
0
4
0
8
8
8
16
0
0
0
1
0
0
16
16
0
0
0
0
0
8
8
8
4
16
4
20
20
20
20
16
8
8
0
0
0
0
0
16
45
4
8
8
16
16
0
16
32
32
8
0
4
0
8
0
0
24
24
32
32
0
0
0
0
0
32
0
11
1
4
0
16
16
16
16
8
0
0
16
8
8
0
0
0
0
2
8
24
0
3
16
32
4
4
16
4
4
4
0
0
0
3
1
1
12
4
4
4
4
0
21
21
16
16
0
0
0
16
8
0
8
0
0
0
0
0
0
0
0
10
8
3
8
8
0
1
1
1
1
8
1
2
2
0
0
0
24
16
16
0
0
0
16
25
24
1
0
0
0
0
0
2
2
2
2
1
24
8
8
8
8
16
8
2
2
16
0
6
2
0
2
2
0
0
0
0
0
16
0
1
2
2
16
16
0
0
0
0
8
8
8
8
8
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
18
18
0
0
0
16
16
16
8
1
32
8
16
16
16
0
0
24
0
16
1
1
0
0
0
2
0
0
0
16
16
0
8
8
8
8
0
0
16
2
16
4
16
4
4
4
4
0
0
8
8
8
0
16
16
4
4
4
16
16
0
0
0
21
0
32
32
32
1
1
1
1
0
0
0
0
2
0
0
16
16
8
8
8
1
8
10
8
8
8
8
8
8
0
35
16
0
8
8
0
2
2
1
1
4
0
0
16
0
0
0
8
16
16
16
16
0
0
0
8
8
8
8
8
0
0
0
8
1
8
8
16
1
1
1
8
16
16
16
16
16
2
16
0
0
0
4
4
0
6
8
16
8
8
16
2
0
0
0
8
8
8
8
0
16
0
0
0
0
0
0
8
8
4
4
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
7
8
8
0
0
0
0
0
0
16
16
16
2
1
0
0
16
0
18
18
8
16
16
16
16
8
8
0
0
0
0
0
0
8
16
8
8
32
1
1
1
1
16
0
16
16
16
2
4
0
8
8
8
0
0
6
6
6
8
8
8
8
0
0
0
1
0
0
8
0
0
24
24
16
16
8
8
0
0
0
0
8
8
8
16
0
25
25
8
8
0
0
16
8
24
8
8
0
0
0
0
0
0
0
8
8
0
16
12
8
12
12
12
12
8
16
0
0
0
8
1
0
0
8
16
0
8
8
0
0
0
0
0
8
0
0
0
0
0
16
16
8
8
8
32
2
32
25
16
24
24
16
1
1
16
16
16
4
8
16
8
8
8
8
8
8
0
0
0
8
32
0
4
16
0
0
20
20
4
4
4
4
0
0
2
3
3
3
3
3
0
16
0
0
0
2
2
32
8
8
0
0
0
0
16
0
0
0
8
8
0
0
0
0
16
16
16
0
16
16
8
8
8
1
1
1
32
0
1
0
0
16
16
8
0
0
0
0
0
4
8
8
8
0
16
1
0
0
0
8
8
0
16
16
16
4
25
4
8
8
8
16
16
16
16
16
16
16
0
0
20
32
16
0
0
0
0
8
0
16
16
21
21
23
23
23
1
16
16
16
24
16
8
32
17
0
0
0
0
0
1
1
0
0
0
0
8
55
0
0
0
8
16
16
16
8
0
0
0
4
8
8
0
8
0
0
0
0
0
0
0
0
0
8
8
8
8
31
25
31
31
31
16
8
16
0
0
8
2
2
32
32
16
1
16
16
0
0
0
0
0
0
16
16
0
0
16
20
0
0
0
28
28
28
0
0
0
3
2
8
0
0
0
0
0
16
60
0
0
12
12
8
0
8
8
8
8
8
8
8
8
17
17
1
16
16
8
8
56
56
56
24
40
32
0
4
0
0
4
12
8
0
16
0
1
1
1
0
0
0
8
8
8
8
16
8
8
8
8
0
0
2
16
4
0
0
0
24
0
8
0
0
0
0
4
4
16
16
8
8
0
1
3
0
16
16
16
16
16
16
1
0
0
0
0
0
0
0
0
0
1
8
8
0
0
0
8
8
0
1
8
8
0
0
0
16
17
17
0
16
0
0
16
32
8
8
8
16
16
0
0
0
0
8
8
8
1
16
16
0
16
16
16
58
58
8
32
8
16
8
8
0
8
8
24
24
8
0
0
1
1
32
32
24
0
9
0
0
0
0
0
0
16
16
2
2
2
2
8
8
8
8
8
2
8
8
0
17
17
0
0
16
16
2
8
8
8
8
28
28
28
16
24
0
0
0
4
4
4
4
4
4
4
1
8
8
8
0
9
9
16
16
0
40
0
2
2
2
0
22
22
22
0
18
0
0
0
0
0
0
0
0
0
6
6
0
0
8
8
8
2
2
2
2
2
2
2
2
2
8
0
16
0
16
16
0
8
0
0
0
8
8
24
16
16
16
0
0
0
8
8
21
21
0
0
16
16
16
0
16
16
0
0
8
0
0
0
0
8
0
8
10
8
8
0
2
2
2
2
33
17
0
8
8
16
0
8
8
8
16
16
16
16
16
8
8
0
0
8
16
16
16
16
16
0
16
0
16
16
48
16
0
17
0
0
0
0
16
16
0
8
13
16
8
8
16
8
16
0
0
8
8
0
8
8
8
0
8
8
8
17
17
8
8
8
8
8
8
8
0
17
8
16
16
17
0
0
8
0
8
8
4
0
2
16
0
0
0
8
8
8
0
0
16
16
16
32
0
4
0
0
5
20
1
1
1
1
1
0
0
0
0
0
0
8
8
2
0
0
0
0
0
8
2
8
16
6
8
8
8
8
8
8
24
8
16
16
0
0
0
0
0
0
16
8
8
4
8
32
8
8
8
8
8
8
8
18
16
16
29
32
16
16
1
0
0
0
0
0
8
8
5
5
4
8
8
0
0
8
0
0
0
2
1
1
8
0
0
2
2
2
8
0
0
8
8
8
8
8
12
2
32
0
16
4
1
1
1
1
1
48
48
48
16
0
0
0
0
16
16
8
8
8
0
16
0
0
0
8
0
0
0
0
8
16
16
0
0
0
0
4
4
4
8
0
1
0
2
2
0
8
8
0
0
0
1
1
0
0
0
0
22
16
16
16
16
8
8
0
0
8
8
4
16
0
1
1
16
4
4
4
8
55
48
17
17
0
0
0
0
0
0
8
8
8
8
24
8
4
4
1
1
0
16
16
16
16
16
16
4
0
6
16
16
56
8
16
24
24
24
4
4
4
4
0
0
0
1
8
8
16
16
16
16
16
16
16
16
16
0
0
5
5
5
0
0
0
1
1
1
1
0
8
0
0
0
4
0
0
0
8
16
0
0
0
0
0
0
0
0
8
8
16
16
0
0
0
16
0
4
16
1
1
16
0
0
8
0
0
0
0
0
0
16
0
0
0
0
1
1
9
0
32
32
16
0
0
0
0
0
0
8
0
4
4
4
0
0
4
4
8
8
8
20
8
0
0
0
0
0
0
16
1
0
0
0
0
0
8
8
32
32
32
32
8
8
8
8
8
0
32
0
0
14
16
16
16
8
16
2
2
2
8
0
0
31
0
8
4
0
37
0
0
12
0
0
8
8
0
0
28
8
24
8
16
16
16
16
8
8
8
0
24
24
16
8
8
6
6
0
0
8
0
0
4
4
4
8
8
0
0
16
16
8
8
16
4
4
0
0
8
0
32
8
0
8
0
8
8
10
10
0
16
8
10
2
2
2
12
12
4
1
24
0
4
4
4
8
8
0
0
0
16
8
32
32
8
0
16
4
1
1
0
0
0
18
1
1
16
0
8
8
0
16
16
16
8
8
8
8
1
1
2
0
0
0
2
0
16
16
16
16
16
16
8
8
0
34
34
4
8
8
0
0
0
18
10
10
10
8
4
8
8
2
16
16
16
0
0
8
8
0
0
8
8
8
0
0
0
8
8
21
32
32
32
32
32
32
32
32
16
0
2
16
3
0
2
0
0
0
0
0
0
0
8
8
18
20
0
0
0
0
16
16
24
16
32
12
12
16
32
0
16
28
16
0
8
8
0
0
1
1
1
1
1
1
24
8
8
16
16
0
0
0
0
4
4
9
8
16
16
16
0
0
0
0
16
0
6
1
1
0
8
4
0
8
32
4
16
14
4
4
4
8
8
8
8
16
32
0
8
0
16
16
16
0
16
4
4
4
4
4
4
0
0
2
2
16
0
8
8
8
8
8
8
16
16
48
32
36
36
36
36
36
36
36
36
36
16
1
1
1
0
0
0
0
0
0
32
32
32
0
16
16
1
1
4
0
32
32
0
0
16
16
16
0
0
0
8
16
0
16
16
0
8
8
32
0
8
8
0
24
24
0
1
1
1
8
8
8
8
0
0
0
8
8
8
8
8
1
28
28
20
0
26
0
16
0
0
24
0
0
0
8
8
8
13
16
4
4
4
4
4
4
0
16
3
0
0
0
0
0
0
0
0
16
0
0
0
0
40
33
32
0
0
0
1
1
8
16
16
16
8
8
4
4
16
16
0
2
20
4
4
0
16
16
8
8
8
1
1
0
0
0
8
8
8
8
8
8
8
8
8
8
8
36
36
36
14
14
0
0
0
4
4
0
0
0
0
20
20
0
8
0
2
0
32
32
0
0
8
16
16
16
8
16
8
8
8
8
16
8
2
0
0
0
0
22
8
24
8
0
0
24
0
0
8
16
16
16
24
24
0
0
0
0
0
16
0
0
8
4
4
0
0
0
16
0
1
8
4
4
0
0
40
40
16
1
0
10
2
2
2
2
2
8
0
0
0
0
8
32
32
32
8
8
8
0
1
1
2
0
16
20
8
8
8
8
16
16
2
0
0
0
8
8
8
0
16
12
1
1
4
4
8
8
4
4
8
8
8
16
16
17
8
16
16
4
4
27
8
8
8
8
0
16
16
1
8
0
4
4
16
8
0
0
0
19
19
19
0
0
0
8
8
25
32
8
8
8
24
12
18
16
16
16
0
0
17
0
16
25
25
25
8
8
8
4
4
0
0
2
2
0
8
8
8
0
32
32
16
16
16
1
1
1
1
1
1
17
8
16
16
16
16
16
16
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
21
8
8
16
8
0
0
4
4
4
16
16
16
16
16
16
16
0
0
1
8
8
8
0
16
8
0
2
2
4
16
2
8
8
0
0
0
0
0
8
0
0
0
16
2
2
4
8
8
8
0
8
8
8
0
16
16
32
32
16
16
8
1
1
1
16
0
0
0
0
16
16
16
0
16
16
16
16
16
16
2
10
10
0
0
17
17
17
1
1
1
0
0
16
16
16
16
16
6
8
8
8
16
0
0
8
0
24
24
0
0
0
0
24
24
24
20
22
0
16
16
16
16
8
8
2
9
9
0
16
16
16
16
0
0
0
0
0
24
24
16
0
0
0
0
8
32
32
32
32
8
0
1
1
0
0
0
0
8
0
0
0
8
8
0
16
16
16
16
16
8
8
0
0
0
0
8
0
8
8
0
0
0
24
0
0
0
0
0
9
9
9
8
0
1
1
0
20
20
0
4
0
0
8
8
30
21
0
8
32
12
3
3
6
0
0
0
4
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
28
0
2
8
0
0
18
18
14
0
0
0
3
0
0
0
0
1
1
24
24
0
0
0
0
1
0
8
8
0
0
0
0
8
8
8
0
0
17
8
8
8
8
0
25
25
0
0
0
0
18
18
8
8
16
8
16
0
0
0
0
16
16
16
16
16
0
8
8
8
8
4
4
4
4
0
0
16
16
16
0
0
16
16
4
0
0
8
4
20
16
0
16
0
0
16
0
0
8
4
4
0
0
0
16
4
4
4
0
8
8
8
8
8
8
8
8
8
8
0
16
0
0
0
0
8
8
24
0
0
20
20
20
4
4
53
17
0
0
0
8
16
0
0
0
16
0
16
16
8
8
8
8
34
0
32
32
8
8
8
8
8
0
4
4
8
8
8
4
16
24
24
8
8
0
0
8
8
8
16
0
0
0
16
4
0
8
8
8
8
2
16
16
16
8
8
8
8
8
20
20
0
0
0
0
0
2
0
0
9
1
1
8
4
36
32
8
8
8
8
0
0
16
8
8
8
8
8
8
8
4
4
4
16
16
0
16
0
0
8
8
8
0
0
8
0
33
0
0
8
8
8
8
0
0
0
0
32
32
32
32
16
16
21
4
16
0
0
8
8
0
0
0
0
0
0
0
0
8
8
1
16
16
16
16
16
16
16
16
16
16
0
0
0
0
0
0
0
0
8
16
8
8
8
8
8
8
2
0
1
1
0
0
0
0
0
0
2
0
0
0
0
0
1
0
8
0
16
0
0
0
16
8
8
8
8
8
0
0
5
5
5
8
0
2
0
8
0
0
8
0
0
0
0
8
16
8
9
9
9
9
20
4
32
52
16
16
16
16
24
1
0
0
0
1
16
16
2
0
0
0
0
0
0
0
8
4
16
1
0
8
16
16
8
16
16
1
16
2
0
16
0
9
9
16
16
0
0
16
0
0
0
0
0
0
0
16
0
0
2
2
2
2
1
0
0
0
0
0
8
8
0
8
8
8
8
0
0
0
0
0
0
1
0
0
0
0
0
0
0
16
16
16
16
16
0
0
0
2
2
2
32
32
16
16
16
16
0
16
16
16
1
32
32
24
0
0
24
8
19
19
19
19
19
19
8
8
8
8
8
8
8
8
8
0
16
8
16
8
8
8
8
8
8
8
8
16
1
24
8
0
28
5
8
8
16
16
16
16
16
0
1
8
32
0
4
16
16
16
4
0
0
8
16
16
2
16
16
8
56
56
56
56
56
56
56
56
0
8
0
16
16
0
0
16
16
16
8
0
0
4
32
2
2
2
27
0
0
41
41
1
2
9
16
16
16
16
4
32
32
0
0
0
1
1
0
8
8
1
1
0
8
8
8
4
0
0
0
0
8
16
13
13
13
13
16
16
0
0
0
0
8
0
0
24
32
16
0
0
0
40
40
0
0
0
0
0
24
0
0
8
0
0
0
0
8
8
12
8
0
0
12
12
12
0
0
0
0
0
0
0
1
1
7
8
1
1
16
0
16
0
16
16
8
16
16
16
16
16
8
0
18
18
18
8
8
0
0
5
0
0
0
8
8
0
0
0
16
0
0
0
0
0
0
8
8
1
0
2
4
16
0
0
0
0
0
40
0
0
0
0
0
0
33
33
33
16
16
16
0
16
20
17
17
17
17
8
17
0
0
1
1
5
5
18
4
4
2
32
2
0
0
0
0
8
8
8
0
1
1
1
8
8
0
25
16
16
8
8
8
8
8
1
4
4
4
4
4
4
8
24
8
8
8
0
0
0
0
0
0
0
16
12
0
32
32
0
16
20
0
8
8
16
16
0
0
0
0
12
8
16
8
8
16
1
1
2
2
2
2
2
2
2
16
0
0
0
0
0
16
2
8
24
0
0
0
0
16
0
16
0
0
4
16
16
0
16
16
0
0
0
16
8
0
8
0
0
2
0
16
16
1
1
0
0
16
0
0
0
8
8
0
0
0
0
0
2
8
5
2
2
8
2
8
8
18
0
0
0
8
48
16
0
0
0
8
8
0
0
0
8
8
25
25
25
0
1
0
8
8
8
8
8
8
4
4
4
4
0
0
8
16
16
1
0
8
1
4
16
16
8
0
0
1
16
2
16
1
17
8
8
0
0
4
4
0
16
8
16
0
0
0
0
16
0
0
16
0
0
0
0
8
0
1
8
0
0
0
8
8
8
8
0
0
0
0
0
0
56
16
16
16
1
1
1
8
16
16
16
32
16
16
16
0
1
1
17
16
8
8
0
0
8
8
8
8
8
0
8
8
0
0
4
4
4
4
4
24
16
8
0
0
8
8
0
0
0
1
1
0
0
0
2
2
2
2
2
0
0
24
24
24
24
9
9
9
0
0
0
0
0
0
0
40
0
0
0
0
0
0
0
0
0
34
2
0
0
0
24
24
24
12
8
24
0
0
0
0
8
8
16
16
16
0
0
0
0
0
0
0
8
8
8
8
8
8
8
0
8
0
1
1
1
1
1
1
1
1
1
0
1
1
1
8
0
0
0
0
8
8
0
28
28
28
4
1
1
8
0
0
0
16
12
12
12
0
8
9
8
0
0
0
0
0
16
8
8
0
24
8
8
8
8
0
12
0
8
8
8
8
8
36
36
36
32
0
0
0
0
8
1
0
8
8
8
0
0
16
16
16
16
0
24
4
12
16
16
16
16
27
27
27
0
6
0
0
0
0
16
16
16
2
8
8
0
8
8
0
0
0
16
16
0
4
8
0
8
24
8
0
16
8
12
8
8
8
8
32
0
0
5
5
0
0
0
16
16
0
8
8
8
8
4
8
32
16
16
16
0
16
16
0
2
2
2
2
4
1
0
8
8
8
24
8
8
8
8
8
2
8
8
0
25
0
0
0
0
8
4
4
4
16
0
0
8
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
14
14
14
14
14
14
14
14
14
14
14
14
8
8
8
4
8
16
12
8
8
16
8
0
0
0
0
24
0
2
8
8
8
32
32
32
32
4
2
2
0
0
0
0
8
2
16
0
0
16
16
16
16
8
0
8
8
8
8
8
4
4
16
16
0
0
0
0
0
0
24
8
8
8
8
8
0
0
0
0
16
16
16
0
0
16
16
16
0
24
24
0
0
0
0
0
8
8
16
0
0
8
0
0
1
56
8
32
32
16
16
16
0
0
32
0
0
0
0
8
8
16
8
1
1
1
2
16
24
0
48
8
18
16
16
1
1
1
8
0
0
0
0
0
0
8
8
2
2
20
8
16
16
16
0
1
1
32
32
1
1
1
0
0
0
0
0
0
8
0
8
8
0
0
8
8
8
32
0
0
0
0
8
48
32
0
0
0
0
8
8
24
24
0
0
4
0
0
0
1
2
2
16
16
0
32
40
4
20
8
8
8
8
8
8
8
0
4
0
0
16
16
16
0
8
8
8
4
4
34
8
8
0
8
8
0
8
0
8
12
4
0
16
8
18
18
33
33
33
16
32
4
10
10
10
8
16
16
16
16
16
16
8
8
8
8
8
8
8
8
8
12
16
16
0
0
8
8
7
4
4
4
1
1
24
61
61
61
0
9
32
32
32
32
17
1
1
0
32
0
8
8
8
16
16
8
16
16
0
8
8
0
16
0
0
0
0
8
0
0
0
8
16
16
16
0
0
1
1
1
0
0
0
32
4
4
4
4
0
16
16
4
0
0
0
0
0
24
24
0
0
0
0
0
0
16
8
16
16
1
2
2
2
2
0
0
0
8
0
16
18
8
8
16
0
24
8
8
0
16
8
28
8
0
1
1
0
2
8
8
8
32
16
16
16
8
8
16
16
16
0
0
0
16
16
0
0
0
8
8
8
2
4
4
16
16
16
0
0
1
4
16
16
0
8
8
16
8
10
0
0
1
8
8
8
0
8
0
0
0
2
0
16
16
32
0
0
0
8
8
16
16
16
16
1
4
0
0
0
8
8
8
16
16
16
0
0
0
0
0
0
8
8
8
8
0
0
0
0
0
17
17
16
16
16
16
16
16
0
0
0
0
8
8
0
16
16
2
16
16
16
16
16
16
4
0
16
2
0
16
16
16
1
0
16
16
16
16
0
0
0
0
2
2
2
16
16
0
0
0
0
16
0
1
8
16
16
32
32
32
32
8
8
8
8
1
16
8
8
8
8
8
8
9
8
16
0
0
16
48
48
48
48
8
16
0
16
16
16
16
16
32
32
0
0
0
0
8
8
8
8
8
8
8
8
0
0
0
0
3
0
16
16
16
0
0
0
0
8
8
8
0
0
4
4
4
16
16
8
8
0
8
0
0
0
16
9
4
8
16
2
2
0
0
8
8
8
1
0
4
16
8
8
0
0
8
8
8
8
8
8
8
8
32
0
8
8
8
8
4
8
8
8
16
0
0
16
16
16
16
16
0
0
0
0
0
0
0
18
8
0
0
0
0
0
16
17
1
1
1
1
1
8
8
16
2
16
16
0
16
31
20
0
16
24
24
24
32
32
32
21
21
16
16
2
1
0
0
2
2
2
2
2
16
0
16
16
16
0
8
8
8
8
16
16
16
16
16
16
0
3
3
0
0
0
32
2
2
0
0
4
8
8
8
8
4
0
0
0
0
17
4
8
4
0
0
0
8
8
8
0
0
0
0
16
1
1
2
1
8
8
8
8
16
8
8
4
20
20
20
4
10
10
17
8
8
8
0
0
0
0
2
2
2
0
0
0
0
0
0
8
8
8
8
8
2
2
2
2
2
0
0
0
8
0
16
32
32
32
16
16
16
8
16
0
0
32
8
8
8
16
8
34
0
0
16
29
29
8
8
8
16
8
8
8
8
8
0
0
16
0
8
8
0
0
16
3
1
0
2
0
8
8
0
0
0
0
2
2
0
0
0
0
0
8
0
0
4
0
8
0
8
4
8
8
1
0
16
16
16
2
0
0
2
4
4
0
16
9
0
0
4
24
10
2
8
16
16
32
32
0
0
32
16
16
0
0
0
0
0
0
0
0
0
32
32
1
32
0
0
0
8
0
8
0
0
0
16
17
16
16
8
16
16
16
16
16
16
0
0
8
8
16
16
0
16
8
16
16
4
4
1
0
0
0
0
16
0
0
2
0
0
4
1
0
0
8
28
8
8
56
24
16
8
8
8
8
8
1
1
20
32
32
40
40
2
0
0
8
8
8
8
18
0
8
8
8
59
59
59
59
59
33
0
48
48
0
0
25
25
8
16
16
16
16
16
16
16
8
8
8
16
16
8
8
8
8
1
0
8
0
1
1
1
16
16
0
16
20
16
16
10
10
10
2
2
8
8
8
8
8
0
0
16
16
17
17
17
0
0
8
8
9
9
8
8
8
0
0
0
0
0
16
16
1
0
16
4
4
0
0
0
0
0
0
0
0
8
8
8
20
32
0
0
0
0
8
8
8
8
44
32
8
0
0
24
8
32
32
32
32
16
16
16
0
0
0
0
0
16
0
0
2
2
2
0
1
16
16
16
0
0
4
48
48
0
0
8
1
8
0
0
0
0
0
0
0
22
22
17
8
4
4
4
0
0
24
24
24
8
8
8
8
0
14
0
0
0
0
0
1
12
0
0
0
0
0
0
0
0
0
0
8
0
8
8
8
20
0
0
4
4
0
0
2
0
32
8
0
0
2
2
16
16
0
0
8
8
8
32
8
8
8
8
16
16
28
8
8
8
0
0
8
0
8
8
8
0
0
16
12
12
1
0
8
9
8
16
16
0
0
0
0
4
4
0
0
16
16
16
1
1
1
1
1
24
16
0
0
0
0
0
0
2
20
20
20
0
0
0
4
4
4
4
4
16
16
16
8
24
34
4
4
0
0
8
8
8
8
8
0
0
0
4
2
1
1
16
16
0
0
0
16
8
1
0
0
0
0
0
8
0
32
2
0
24
8
16
16
16
16
16
16
16
16
16
0
0
40
0
2
0
8
2
0
8
8
21
21
21
8
16
0
16
8
8
2
2
2
43
16
0
4
4
2
0
0
16
16
16
16
32
0
0
16
16
16
16
16
0
8
8
0
0
0
3
2
2
8
8
8
0
0
0
12
0
0
0
0
0
2
2
2
0
8
20
20
0
0
0
0
1
1
8
0
0
0
2
0
24
24
16
16
8
8
8
1
1
1
1
1
0
8
8
0
16
1
16
16
8
8
8
6
0
0
0
24
8
0
0
0
0
0
4
0
24
24
16
0
0
50
24
0
16
16
16
8
13
0
0
0
0
1
0
16
16
0
0
0
0
18
18
18
2
28
0
0
0
16
16
16
16
24
8
0
0
0
16
0
0
1
1
1
1
4
4
24
8
1
1
0
8
28
0
8
12
4
16
8
8
16
16
8
4
4
4
16
0
0
16
16
16
16
16
16
16
16
8
8
8
0
16
8
0
16
8
0
32
32
0
8
8
0
0
4
1
1
16
16
0
0
16
0
8
8
0
0
8
8
0
0
16
16
18
8
0
0
0
16
8
8
8
28
16
16
16
8
16
16
8
16
16
8
32
4
0
8
8
8
8
0
16
16
0
0
0
48
0
12
0
0
0
25
16
16
16
16
16
0
24
24
1
8
8
4
1
1
0
0
8
0
1
1
24
24
28
0
0
0
8
8
8
8
8
8
8
8
0
0
1
1
8
8
8
24
1
1
1
16
16
2
0
16
16
16
16
16
24
8
8
8
0
8
1
1
0
16
16
16
16
16
0
16
16
17
8
0
3
8
16
16
16
10
4
0
0
16
0
0
0
16
0
0
1
1
0
8
8
8
0
16
0
0
0
8
8
1
1
1
8
0
1
8
8
8
8
8
8
0
0
0
0
0
0
0
16
16
16
32
16
16
0
0
0
35
8
8
8
16
16
24
24
1
8
2
16
16
16
4
4
0
0
0
16
16
16
16
16
16
0
0
0
1
1
0
0
0
22
20
16
24
24
24
0
0
0
0
0
8
8
8
0
0
24
4
4
25
25
0
0
0
0
16
0
0
0
10
8
8
16
2
24
0
0
8
8
8
8
8
16
16
16
8
8
0
16
16
8
1
0
0
0
0
4
4
0
16
0
8
16
16
2
0
0
0
8
12
12
0
8
0
0
0
16
0
8
8
8
20
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
9
16
0
0
16
16
8
3
3
30
30
30
0
0
0
0
0
16
16
16
8
8
0
8
0
4
4
0
16
4
3
0
0
5
5
0
0
16
16
16
0
0
8
0
0
2
0
0
0
16
4
1
1
8
8
8
8
8
8
8
16
0
8
32
1
41
0
0
0
0
0
1
16
16
16
16
16
0
0
0
0
0
0
16
16
16
8
8
8
8
8
8
0
8
8
16
16
16
1
1
4
4
0
8
0
8
42
42
42
42
42
0
0
56
56
8
8
16
16
16
16
0
16
0
0
0
0
0
0
0
8
8
1
2
2
4
4
4
0
0
0
0
0
16
16
0
0
24
16
16
16
0
2
8
8
0
24
16
8
8
2
40
0
8
1
1
0
0
16
16
16
16
1
4
4
0
8
0
16
0
0
1
1
1
0
4
0
0
0
2
0
0
8
8
2
2
2
0
0
16
16
16
8
8
0
4
41
9
4
4
4
4
4
0
0
0
0
0
9
9
4
4
16
8
8
32
32
8
16
16
16
16
0
2
9
1
16
16
0
0
0
0
0
0
1
24
0
0
0
16
0
0
32
8
8
8
8
16
17
17
17
17
17
0
0
20
4
4
16
0
0
8
8
0
0
2
2
0
0
0
8
0
4
4
4
16
16
0
0
16
16
0
1
8
8
8
8
16
16
16
0
2
0
0
4
0
0
0
0
4
4
16
2
2
16
0
4
32
32
16
16
8
8
4
0
0
0
0
0
0
0
0
0
16
16
16
0
0
8
1
0
16
16
0
0
8
8
0
0
0
0
0
0
1
1
1
1
8
8
8
0
0
2
0
0
0
0
0
16
0
0
0
0
0
9
16
16
0
0
0
8
16
0
0
0
2
8
8
0
0
0
1
0
4
0
0
0
16
16
16
16
2
1
16
0
16
16
16
0
16
8
16
8
16
0
0
6
32
32
32
32
0
16
16
16
0
1
1
1
1
1
0
0
0
0
0
0
0
16
0
0
17
17
17
17
0
2
2
8
4
8
0
0
10
8
8
8
1
4
4
4
4
4
0
0
16
16
16
0
0
0
8
12
4
4
4
4
4
16
16
4
4
16
16
0
0
16
0
0
8
25
0
0
2
24
4
0
8
8
0
16
31
31
0
0
0
8
0
0
0
4
0
2
8
18
0
8
8
8
8
0
0
8
16
16
16
16
16
16
16
0
0
0
0
0
16
16
16
16
8
17
16
16
16
32
0
0
0
16
16
16
16
0
8
8
0
0
0
0
0
16
0
16
0
0
0
0
0
17
17
0
1
8
8
8
16
0
0
0
4
0
16
0
8
8
8
24
0
24
6
16
8
8
8
1
0
0
0
1
1
4
0
32
1
0
0
0
0
0
4
4
4
16
2
16
0
0
0
16
16
0
0
1
1
0
0
0
8
8
16
8
1
1
1
8
0
8
18
18
4
4
8
0
0
0
0
0
40
40
40
0
32
0
0
0
0
0
0
0
0
0
0
0
4
1
1
0
0
0
0
16
24
0
0
2
2
16
16
16
0
0
0
4
0
0
8
8
8
8
16
16
16
16
16
16
8
8
0
0
2
0
0
0
0
0
0
4
0
0
0
48
10
0
0
16
16
0
0
16
16
32
0
0
8
0
8
0
0
0
2
2
0
0
0
32
0
0
0
0
20
2
0
8
0
0
0
8
8
2
2
2
4
0
0
8
0
16
0
0
0
0
0
0
0
0
0
0
0
8
0
8
8
0
8
16
8
2
0
4
4
0
0
0
0
0
16
16
16
0
0
0
2
1
16
1
16
1
1
13
13
4
4
4
4
4
4
1
1
48
8
8
8
8
8
20
16
4
4
0
0
0
0
0
8
8
8
8
0
2
30
0
0
1
1
1
1
12
16
8
0
0
4
4
0
32
32
32
32
16
1
16
16
8
2
2
16
16
2
8
8
8
0
24
24
0
16
16
16
16
16
0
0
16
0
16
0
8
4
8
2
2
16
8
8
8
4
2
4
4
4
4
24
8
16
8
8
4
4
4
16
16
16
16
16
0
8
8
8
8
8
8
8
8
8
8
8
0
2
2
2
2
2
8
0
0
8
8
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
18
18
18
0
0
0
0
12
12
12
0
0
8
8
8
14
14
16
16
16
0
0
0
16
8
8
0
0
0
0
8
8
8
16
0
0
0
0
16
0
48
0
0
0
0
0
0
0
17
4
0
0
0
0
0
0
8
0
0
0
0
4
24
24
1
1
0
17
8
24
8
0
0
16
16
16
8
8
8
20
20
20
8
8
32
16
16
0
0
16
16
16
16
0
0
8
8
8
8
8
8
40
43
43
43
8
8
8
26
8
8
8
8
16
0
0
4
0
8
8
16
40
2
16
16
16
40
40
4
4
16
16
16
32
17
16
8
0
8
8
1
4
4
2
2
4
1
1
0
0
0
0
0
0
0
16
0
0
1
0
8
24
24
0
0
1
8
8
16
0
0
0
0
17
17
0
8
8
0
8
16
16
4
0
8
8
16
0
0
4
0
0
32
16
8
0
8
0
0
0
0
12
0
0
0
0
16
16
2
2
2
16
2
0
0
0
16
1
8
0
0
41
4
0
24
8
16
6
0
0
6
6
2
0
0
8
0
0
0
8
8
0
16
16
16
8
8
8
8
8
40
40
0
5
5
5
5
4
24
24
24
0
0
25
16
16
1
0
19
16
16
16
16
16
24
24
24
8
8
8
8
8
16
16
16
0
0
8
8
8
0
8
2
24
0
2
2
8
8
5
4
32
32
32
32
32
32
32
32
8
0
0
16
8
8
40
8
8
8
10
0
8
1
1
0
0
8
5
4
16
16
16
16
0
0
0
0
8
0
0
0
4
4
4
4
0
0
1
8
8
8
0
0
16
0
0
0
16
16
16
16
1
8
49
25
8
8
17
1
2
16
8
24
16
0
16
16
8
8
8
8
8
16
0
0
0
0
0
16
16
16
16
1
1
1
1
1
1
1
0
0
0
0
0
4
4
4
4
0
16
0
0
4
4
4
0
0
0
0
0
8
0
0
0
24
0
0
16
0
0
0
16
16
8
2
0
16
0
0
0
0
2
8
8
0
0
16
16
16
0
16
16
0
8
8
24
24
13
0
0
9
0
0
8
8
27
27
16
0
0
0
16
16
16
16
0
4
4
16
8
0
0
0
0
8
0
32
0
0
0
0
0
0
0
0
0
16
0
8
8
18
18
0
0
16
16
16
2
2
2
8
10
10
10
0
17
17
8
8
8
48
1
0
2
2
0
0
8
8
8
9
9
8
8
16
16
8
0
0
0
0
0
16
16
16
16
0
0
0
48
16
16
52
52
48
0
0
16
8
8
16
0
16
16
2
1
2
0
16
2
0
16
0
18
16
4
0
12
1
1
0
0
8
8
0
0
5
2
2
16
0
0
8
18
18
0
0
0
16
36
36
0
16
16
8
8
0
0
0
0
8
8
1
1
1
1
32
32
8
8
8
24
1
16
12
12
0
48
48
48
2
4
4
8
16
1
8
4
1
1
1
1
1
16
16
16
8
8
8
0
24
24
8
10
10
10
10
0
0
0
8
0
5
5
8
8
8
0
8
0
0
0
0
0
60
60
0
8
0
0
8
0
1
1
1
16
0
2
30
30
30
30
30
30
30
16
16
0
8
8
8
16
4
2
8
8
9
9
6
6
2
2
2
0
8
8
16
16
16
16
16
0
0
0
8
0
0
0
1
9
9
9
0
16
16
32
8
8
0
17
0
22
6
4
4
4
4
4
4
0
1
1
2
1
1
1
16
8
0
24
24
8
0
0
16
16
16
16
1
1
1
1
1
1
1
1
1
4
4
4
0
1
16
8
0
0
2
2
2
12
4
4
0
0
0
16
16
16
0
16
16
16
1
8
1
17
0
50
50
0
0
0
8
0
0
8
8
0
16
16
0
0
0
16
16
1
16
16
4
4
2
0
8
8
0
0
0
16
8
8
16
16
0
16
16
1
1
0
8
8
0
32
32
32
8
0
0
0
8
0
8
8
0
16
0
0
0
2
8
8
3
0
0
8
8
0
0
24
0
0
8
16
8
0
0
0
0
0
0
0
52
17
0
0
1
24
16
0
0
0
0
0
0
0
16
16
0
32
32
32
0
0
16
16
9
0
1
1
1
1
1
0
0
1
1
1
1
16
9
9
9
9
0
4
4
4
4
16
16
16
16
16
16
8
8
8
8
8
8
32
32
0
1
0
0
0
16
8
8
28
8
16
16
16
16
16
16
16
16
1
0
32
8
8
0
0
0
0
16
8
14
14
0
16
8
8
2
2
4
0
0
16
16
0
0
8
8
9
16
28
1
0
1
1
1
1
8
0
8
8
0
0
4
1
17
8
8
0
0
0
16
8
8
0
0
16
16
8
16
16
0
16
0
0
0
0
0
1
1
24
4
32
0
8
0
0
0
0
0
0
16
16
16
0
0
0
0
0
8
8
0
0
0
0
0
0
4
4
16
8
2
2
32
0
0
4
4
4
0
0
0
32
2
16
8
0
0
9
9
9
20
32
32
0
8
8
16
4
4
4
16
16
8
8
0
0
8
8
8
16
16
16
16
0
0
8
4
0
0
0
40
0
8
8
0
18
0
0
0
8
0
24
16
4
1
1
1
1
9
16
16
16
0
0
0
16
8
8
8
4
0
0
2
2
0
0
0
16
16
16
16
0
0
0
0
16
16
8
8
16
16
0
1
1
0
0
8
0
0
16
16
20
20
12
0
0
0
8
8
45
5
34
0
0
0
8
8
8
16
2
2
2
8
16
0
0
18
18
16
2
2
0
0
0
2
2
2
4
16
8
8
0
17
2
2
2
2
2
2
2
8
2
0
0
0
24
24
0
0
0
1
16
0
0
0
8
8
8
8
8
0
16
0
0
0
8
8
9
9
9
0
0
0
0
0
0
8
0
0
33
33
33
0
8
0
0
0
0
0
8
8
0
1
8
8
4
16
8
8
8
8
0
0
0
0
0
16
8
8
0
8
4
8
1
1
16
0
8
0
4
8
8
8
16
8
18
1
2
16
0
8
8
0
8
8
0
0
0
0
8
8
8
8
1
24
16
4
16
16
16
8
8
8
0
0
0
0
0
0
22
22
8
2
2
2
20
0
2
2
8
8
8
8
8
0
0
0
16
16
16
17
17
0
0
1
4
4
8
0
2
1
0
0
0
0
2
2
2
2
2
2
8
6
0
8
0
8
16
16
30
14
14
2
2
0
16
8
0
0
0
0
8
16
16
24
2
2
0
1
16
0
0
8
12
12
0
0
0
0
0
16
16
16
0
0
0
1
24
24
8
8
6
6
1
16
0
40
16
0
0
8
40
40
32
16
16
16
16
0
12
12
12
12
8
8
2
0
16
8
8
8
8
0
8
8
1
2
2
2
2
2
20
20
20
4
4
8
8
32
32
8
24
16
0
16
18
0
16
16
8
8
8
8
0
16
16
16
16
16
16
4
4
4
4
0
0
0
8
8
0
1
1
4
4
0
0
0
0
24
8
16
8
2
2
4
0
0
16
16
18
18
18
2
8
8
8
0
32
8
0
4
16
16
1
0
56
32
48
0
2
0
8
24
24
1
1
1
1
1
1
1
1
1
1
1
1
1
0
9
9
0
0
0
4
16
8
8
8
8
8
0
0
0
0
0
8
8
4
0
16
16
8
4
8
0
4
4
0
0
0
0
32
32
16
16
0
2
2
16
16
0
0
0
0
0
0
8
8
8
16
16
16
16
16
24
1
1
0
0
4
24
0
2
0
8
1
8
0
0
0
0
16
4
1
1
0
16
1
24
24
0
0
9
0
0
0
0
8
1
18
18
0
8
1
0
0
0
0
16
17
17
0
0
0
0
0
8
0
0
0
16
16
16
16
16
0
0
16
16
16
4
4
2
2
25
25
0
0
0
16
16
8
8
0
32
0
0
8
0
0
8
1
1
1
0
0
0
8
8
8
1
24
24
8
0
0
8
8
0
0
8
16
16
2
2
0
0
0
20
2
4
5
5
0
0
16
0
16
16
0
8
4
8
8
8
8
8
0
1
0
0
0
0
0
17
17
17
4
16
16
16
8
8
8
0
0
0
1
1
8
8
8
8
16
16
16
0
8
8
0
0
4
4
0
0
8
8
16
16
0
0
56
56
0
0
0
0
0
16
0
0
4
4
4
4
16
0
16
8
0
0
16
16
2
2
1
1
0
0
0
0
0
8
1
8
8
8
0
24
24
24
4
8
0
8
0
4
16
16
40
16
56
16
16
0
0
0
8
8
16
0
0
0
0
0
16
8
16
0
16
0
0
0
0
0
0
4
4
16
8
1
8
1
1
1
1
0
0
0
8
16
16
16
0
0
20
6
0
0
5
5
21
1
1
12
12
16
16
16
0
0
0
0
0
0
16
16
16
8
8
8
2
8
8
8
0
0
0
0
0
0
0
0
0
8
8
8
0
2
16
2
2
2
0
1
16
0
0
0
0
0
0
0
0
0
8
16
41
8
0
16
1
1
1
2
2
0
8
2
2
26
1
1
1
1
8
8
8
8
8
1
8
2
0
0
0
0
16
16
0
8
8
8
8
16
0
0
0
48
0
0
4
1
1
16
16
16
24
0
0
0
0
0
0
0
0
0
0
1
8
17
0
1
8
16
16
16
0
0
0
2
2
8
8
24
24
24
24
24
0
16
0
0
26
8
8
0
0
2
0
0
17
0
0
0
0
16
0
0
4
4
0
0
4
4
0
8
0
16
16
16
16
16
16
10
10
10
4
4
4
0
0
16
16
0
16
16
2
18
2
8
8
8
0
8
18
18
0
16
0
0
4
20
4
0
32
32
8
0
8
8
8
8
4
16
0
8
0
4
8
8
4
4
4
8
16
0
8
8
1
0
0
0
8
8
0
48
0
8
16
3
8
8
8
8
0
0
8
12
16
0
32
0
8
8
8
8
8
8
8
8
0
16
16
12
12
12
8
8
8
4
4
4
8
8
8
8
8
0
1
12
12
0
0
0
0
0
0
1
8
9
9
9
9
16
0
4
0
32
9
8
8
16
16
16
14
14
16
16
8
0
32
8
8
8
8
0
0
0
0
0
8
8
8
8
8
4
4
1
1
1
0
0
2
0
0
0
0
0
0
8
8
8
8
8
16
16
16
16
16
0
2
2
2
2
16
16
16
0
0
0
0
16
16
18
16
16
16
24
0
24
0
0
4
4
8
0
0
0
0
2
2
0
0
0
0
0
0
16
1
1
1
0
32
32
32
8
16
8
8
8
0
0
0
8
0
0
0
0
8
32
32
32
0
8
8
8
8
8
0
0
0
0
0
0
8
8
8
8
8
8
8
8
16
8
8
8
4
0
0
0
0
1
0
1
1
8
8
8
8
8
8
8
8
0
0
8
24
0
0
0
0
8
8
8
2
2
2
2
4
4
0
16
2
0
16
0
0
0
8
8
8
9
9
1
0
8
8
8
1
1
16
16
16
16
16
16
16
10
0
0
32
32
32
0
0
4
21
0
0
8
0
0
0
1
2
2
4
4
0
17
2
8
8
8
8
16
0
1
2
1
1
1
1
4
4
4
0
0
8
1
1
1
8
8
8
0
0
0
0
0
32
0
0
0
8
8
8
0
0
0
0
0
2
0
8
16
16
0
0
0
18
18
0
0
0
0
0
0
0
8
8
8
0
8
8
0
1
8
8
8
0
0
0
16
16
0
0
0
0
0
1
17
17
17
17
8
0
16
16
16
1
16
16
0
0
0
0
0
0
1
1
4
16
16
16
16
16
16
16
16
16
16
8
8
8
2
2
2
2
0
0
0
0
8
8
0
9
0
24
16
8
4
16
4
32
32
16
0
0
0
16
1
1
1
0
0
0
0
0
0
0
0
0
0
0
8
0
16
16
0
0
8
8
8
0
0
8
3
3
0
0
0
0
18
4
4
0
16
16
16
16
0
16
8
8
0
0
9
9
11
0
20
20
12
16
0
0
0
0
0
8
16
0
0
8
8
8
8
8
16
0
0
0
0
16
8
27
0
0
0
0
0
0
0
0
8
8
16
16
16
0
8
8
2
8
16
16
18
0
20
16
0
0
2
2
0
8
16
16
16
16
24
8
8
6
6
8
16
0
0
0
0
0
0
0
8
2
2
16
0
0
1
1
1
0
32
0
0
16
16
8
16
16
0
0
8
24
8
10
10
10
13
13
13
8
0
4
0
45
0
0
8
8
8
0
0
0
0
8
8
8
1
0
0
0
0
4
4
4
16
0
0
0
0
0
0
0
0
16
16
16
8
8
0
0
0
0
0
16
8
16
1
1
0
0
0
8
9
0
0
8
8
8
8
0
8
8
8
8
0
0
0
0
24
24
24
24
8
8
1
1
0
0
0
0
16
0
2
1
8
1
1
1
0
0
16
20
16
0
16
16
0
12
2
24
0
1
1
8
24
0
0
0
8
8
16
16
16
8
0
8
4
4
4
4
0
0
8
20
4
4
0
4
4
16
0
24
20
20
0
8
8
0
16
16
8
6
8
8
8
8
8
0
4
0
0
1
8
8
0
0
33
33
8
0
0
0
16
16
8
0
0
0
8
4
6
0
16
16
8
2
2
0
0
8
16
16
20
1
0
0
16
9
8
8
2
2
2
4
4
4
0
8
8
0
0
8
8
0
0
8
16
16
8
1
8
8
8
2
2
2
8
8
14
0
0
0
0
0
0
0
24
0
16
8
0
0
0
0
9
0
4
4
4
0
0
16
16
4
0
32
32
8
8
8
8
0
4
4
8
8
1
8
8
16
4
4
56
0
0
0
5
5
8
8
8
8
8
8
0
8
8
8
8
32
8
8
8
8
16
24
0
0
8
8
16
16
16
0
0
0
0
0
8
2
8
8
0
0
0
0
0
0
0
5
8
8
8
8
0
1
1
8
0
0
0
0
8
4
4
4
4
4
8
16
16
24
16
8
0
0
0
24
10
10
0
0
1
8
16
0
0
0
0
52
52
52
24
8
8
8
0
0
0
0
0
8
16
16
16
0
0
0
1
8
8
8
3
0
0
1
1
1
0
2
2
2
0
2
2
8
8
0
8
8
8
8
8
8
8
8
8
40
32
32
32
0
16
16
0
32
0
34
34
34
34
34
0
8
0
4
4
0
16
8
0
0
0
24
8
9
9
3
0
8
8
0
0
0
8
8
4
4
8
0
0
8
8
16
16
16
16
16
8
8
16
8
8
8
16
0
0
6
6
6
6
6
16
16
8
58
40
40
8
16
16
16
16
16
16
0
0
8
8
8
8
0
0
0
2
24
24
24
0
8
16
16
0
0
0
0
0
8
16
0
8
0
0
0
0
16
0
0
0
0
16
16
0
0
0
46
0
18
16
16
8
8
8
8
0
0
8
8
11
11
1
1
8
8
0
0
0
8
16
1
0
0
0
0
0
0
8
0
1
0
0
16
8
16
16
16
16
16
0
4
18
2
2
2
2
16
24
0
0
0
16
14
14
14
16
8
8
0
0
16
0
0
24
24
24
16
0
0
8
41
41
8
8
8
8
8
8
0
0
0
0
0
32
0
16
16
16
16
0
0
0
1
1
0
24
8
0
0
0
0
0
8
8
8
12
24
24
0
16
16
1
1
8
0
16
16
16
16
16
16
16
16
16
0
0
20
20
20
2
8
0
0
0
0
0
0
0
0
0
0
0
4
0
8
8
0
0
16
16
16
16
16
8
16
8
57
41
32
32
32
32
32
16
16
4
4
16
8
16
0
0
24
24
8
8
8
8
8
0
0
0
8
8
4
0
8
8
8
16
24
16
8
8
16
16
8
8
8
2
49
49
4
4
8
8
0
16
16
16
16
0
16
16
16
8
8
8
16
32
32
32
32
8
0
8
16
1
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
16
0
0
16
0
0
24
2
16
16
0
8
8
8
0
0
0
1
8
16
16
16
16
16
2
2
2
4
4
0
0
0
8
4
4
0
0
0
0
0
0
16
0
0
24
8
8
0
28
28
28
40
40
20
20
8
0
0
8
8
8
0
16
0
0
6
6
6
6
4
8
8
0
0
0
0
0
16
16
0
42
0
0
8
0
8
8
8
8
16
16
0
0
8
12
8
8
8
0
16
1
1
4
0
0
0
16
0
0
0
4
4
8
8
8
0
0
0
0
0
0
0
8
32
0
8
16
16
16
0
0
0
8
8
8
0
16
16
0
8
0
0
0
8
8
0
8
0
0
0
8
8
8
8
8
0
0
16
0
16
32
32
0
8
0
0
24
16
13
8
8
8
0
0
0
0
0
4
1
16
16
0
0
0
0
16
8
8
8
0
0
0
1
1
1
1
1
1
8
32
32
32
8
0
4
20
20
20
8
0
24
0
17
16
16
16
16
0
0
4
0
16
16
11
8
0
16
2
8
0
0
16
24
4
20
20
4
32
0
0
16
4
16
8
0
0
0
0
1
0
0
16
24
24
24
24
24
16
16
16
16
0
8
8
25
25
25
8
8
8
8
8
0
0
0
2
0
0
16
16
39
39
39
39
16
0
16
8
4
16
16
16
16
16
16
0
0
0
0
0
0
0
8
32
32
32
8
16
16
16
0
0
0
0
0
1
1
1
1
1
12
16
0
0
2
2
0
0
17
0
0
8
24
24
24
8
0
0
8
1
4
4
4
18
18
0
0
4
4
4
4
8
8
8
0
4
16
24
24
8
8
0
0
0
16
16
41
8
2
8
8
8
8
24
16
8
24
8
0
0
8
0
2
2
16
0
16
4
16
16
8
32
0
0
0
8
0
0
0
0
8
0
4
8
16
16
8
0
16
16
16
16
16
0
0
8
16
16
16
0
1
0
8
8
0
1
0
8
24
0
0
0
0
0
0
0
0
0
0
0
24
8
8
2
2
0
0
0
0
0
4
4
4
4
4
8
8
8
8
0
0
4
0
8
4
4
0
0
0
4
4
4
4
4
4
4
8
4
0
0
0
0
0
0
0
0
0
8
0
0
8
0
0
0
0
0
0
8
8
8
1
16
8
8
0
8
8
0
0
4
1
0
4
4
32
32
0
0
0
8
4
0
0
16
16
8
8
8
0
0
0
0
0
0
8
8
0
8
0
16
0
0
0
0
8
8
0
0
0
0
0
16
16
16
0
0
8
8
8
8
8
0
0
1
1
9
8
8
8
8
8
0
0
16
16
1
1
1
16
16
16
8
16
16
16
0
16
8
0
0
8
0
0
0
0
0
16
48
8
8
16
16
16
16
0
8
8
8
8
8
8
8
8
8
8
4
4
40
16
16
16
16
16
0
0
0
0
8
1
0
0
0
0
0
0
0
1
8
0
16
0
0
0
0
8
8
0
0
0
22
22
22
16
16
0
5
5
32
8
1
8
1
1
8
8
8
0
20
8
0
0
16
16
4
0
0
0
0
0
0
0
1
2
0
0
0
0
0
32
32
32
0
0
0
0
0
16
16
16
4
12
5
2
8
8
0
8
8
8
8
8
8
8
16
57
1
16
16
16
16
16
0
16
16
0
0
8
8
1
1
1
1
0
0
0
16
16
16
2
2
8
8
2
2
8
8
8
8
0
16
8
16
8
1
1
12
4
4
2
16
0
0
16
0
8
16
8
17
1
16
8
8
0
16
16
16
16
16
0
16
16
16
16
8
8
8
8
8
4
16
16
32
32
32
16
0
8
1
8
8
8
8
2
0
0
0
0
0
0
0
0
37
37
8
16
16
16
4
0
0
16
12
0
4
4
4
0
24
8
8
8
1
1
0
0
4
4
16
16
16
16
0
24
8
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
16
2
2
2
2
4
4
16
16
16
16
16
16
8
8
0
0
0
16
16
0
0
1
8
0
25
25
8
0
0
0
0
0
8
32
8
2
8
8
0
0
4
0
0
0
32
32
4
4
0
8
4
8
8
0
0
8
0
0
0
0
0
0
8
8
0
8
8
8
4
0
0
0
0
19
0
0
0
0
18
0
0
19
16
16
2
2
4
0
0
8
8
8
4
4
0
0
0
4
4
0
0
0
44
0
0
16
16
8
32
0
0
0
0
20
0
18
32
32
16
0
0
0
1
1
4
0
8
8
8
8
8
0
16
8
8
1
5
0
0
1
0
16
16
8
16
16
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
0
20
1
10
9
8
0
0
0
0
0
0
4
10
2
0
0
16
0
8
0
0
18
16
16
8
8
8
8
9
8
8
8
22
6
2
2
0
9
0
0
0
0
0
0
0
0
0
0
4
8
0
0
16
0
32
32
0
8
8
8
0
2
2
2
2
2
2
16
16
16
8
8
0
0
0
0
0
0
0
0
1
1
1
1
0
0
0
0
4
4
0
0
8
0
0
0
4
0
2
2
0
4
0
0
0
0
0
0
16
16
8
0
4
8
0
0
8
8
8
0
0
4
4
6
6
0
0
4
0
0
0
1
16
0
0
0
8
0
8
8
8
9
9
9
4
4
1
0
10
10
10
0
0
0
4
52
8
8
4
16
16
16
0
0
8
0
16
8
8
8
4
16
16
16
9
8
8
0
8
16
16
0
0
0
16
16
0
2
2
0
8
8
8
1
1
1
1
1
1
9
9
26
26
26
1
8
48
40
12
8
16
16
16
16
57
16
24
32
0
0
0
0
0
0
0
0
0
4
0
0
0
16
8
0
28
1
1
16
0
0
11
0
16
16
8
8
8
17
17
0
8
0
0
0
0
16
16
32
32
16
16
16
0
8
8
4
20
8
24
4
8
0
0
12
12
0
0
0
16
0
16
16
16
16
16
16
0
8
16
16
16
16
8
8
8
0
0
0
0
16
16
8
8
4
16
16
16
16
16
16
16
16
16
16
16
16
0
16
0
32
32
16
0
4
4
4
0
24
8
16
16
4
4
4
4
4
4
0
0
0
4
4
0
4
8
8
0
4
4
0
2
8
8
16
16
0
24
0
8
8
16
16
16
0
8
8
8
24
8
0
0
8
1
0
1
0
0
8
0
0
0
0
0
0
0
0
0
16
0
0
0
0
4
0
0
0
0
16
0
32
24
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
16
0
24
33
25
4
0
0
16
4
4
4
0
8
0
2
16
1
16
0
0
0
0
0
0
16
0
0
0
0
8
24
16
0
16
0
0
0
16
32
1
8
4
0
16
16
16
16
8
8
8
8
8
8
8
8
0
0
0
0
0
0
8
16
16
16
0
0
0
0
0
0
16
16
16
1
1
16
16
18
18
0
0
0
0
0
25
0
0
0
0
0
9
9
9
9
9
8
9
9
8
16
0
0
0
0
0
0
4
4
4
4
0
0
0
0
1
1
1
1
1
0
0
16
0
0
0
24
0
0
0
0
0
0
0
0
8
4
4
16
0
16
0
0
4
4
4
0
0
4
4
4
22
8
9
4
0
0
0
16
16
2
2
0
0
4
4
4
4
8
16
8
8
0
32
32
8
2
2
0
32
32
48
48
48
48
48
48
48
1
1
0
4
2
3
3
8
0
0
4
0
0
0
0
0
0
0
16
1
0
0
2
2
2
44
0
0
0
0
8
6
6
6
8
1
0
0
8
8
0
0
8
8
8
1
16
8
24
16
8
8
8
8
8
0
0
0
8
0
16
4
24
24
1
1
1
8
0
0
16
0
32
24
8
8
0
14
0
0
16
16
18
18
18
18
18
0
0
0
2
16
32
8
0
8
8
8
8
0
16
16
4
4
0
8
8
8
8
0
0
2
32
0
0
8
8
8
16
16
16
16
16
16
16
16
16
16
0
30
30
30
30
8
8
1
0
0
2
24
2
8
0
8
8
8
8
8
0
0
24
2
2
2
2
16
16
0
0
0
8
18
8
8
8
24
9
8
8
8
0
1
20
8
8
4
4
8
0
8
0
4
1
8
8
8
8
8
8
0
0
16
4
4
0
0
1
0
0
8
8
8
0
0
8
17
0
0
2
2
2
2
0
0
16
32
0
0
0
0
16
2
16
0
0
0
8
0
0
0
16
32
0
0
4
8
8
0
0
24
24
8
0
0
0
0
1
32
4
8
8
8
8
0
9
4
4
16
0
0
42
42
42
0
0
0
16
16
16
8
8
8
8
8
8
8
0
32
21
21
16
16
8
0
24
1
1
8
0
0
0
8
16
16
16
0
16
0
0
8
8
8
8
4
4
4
4
4
4
4
16
8
8
26
8
16
16
16
16
8
8
0
0
0
0
0
2
16
11
1
1
8
8
8
8
8
8
8
17
17
17
8
8
8
32
0
0
0
0
4
0
16
16
8
4
2
2
1
8
8
0
0
0
0
0
8
16
16
16
16
0
0
8
8
16
16
16
16
0
16
16
0
8
0
0
8
8
0
4
1
0
0
0
0
0
0
16
0
56
4
2
2
0
16
16
16
17
8
4
4
16
16
16
16
16
16
0
0
0
16
0
8
8
16
16
16
8
8
48
16
0
16
16
2
16
16
16
16
8
0
0
24
24
0
33
33
33
1
0
0
0
0
8
8
0
2
2
0
9
9
8
8
8
4
4
4
16
16
16
16
8
16
16
16
12
0
0
12
12
12
12
8
16
8
24
24
24
24
24
8
0
0
0
0
0
0
1
1
32
4
4
8
0
0
8
8
4
4
4
16
0
0
0
0
8
24
25
25
25
16
16
0
16
0
4
0
0
8
8
8
0
0
0
0
16
0
17
17
0
8
0
8
8
1
1
1
4
16
24
0
8
8
8
16
16
16
16
8
8
0
0
8
8
0
0
16
0
0
8
8
8
8
8
8
8
32
0
0
0
0
2
0
8
8
2
2
2
8
8
8
0
32
16
16
0
0
0
0
0
16
16
8
3
3
8
0
0
0
8
0
8
1
0
0
4
4
0
6
6
6
16
0
0
32
24
2
0
1
18
2
0
8
8
4
4
4
4
48
2
1
0
16
0
0
2
2
2
0
0
2
0
4
8
8
8
1
0
0
2
2
2
2
2
2
2
2
2
0
0
24
0
0
0
0
0
16
16
0
8
8
8
8
0
0
4
0
16
16
0
8
8
11
16
16
16
8
8
8
0
8
8
8
8
2
26
8
8
0
0
1
1
0
0
0
1
1
0
0
0
0
12
8
0
8
8
8
24
16
17
1
1
1
1
1
8
8
0
0
0
0
16
10
10
0
16
8
8
16
0
0
8
8
0
8
1
16
16
16
16
0
0
1
8
4
16
16
16
2
4
8
8
8
8
0
0
0
0
16
0
0
0
0
0
4
4
0
24
41
41
41
0
4
4
4
4
8
8
12
4
4
16
16
4
4
4
0
8
19
19
19
8
16
16
0
0
0
0
0
16
8
4
5
49
26
8
0
0
4
4
0
0
0
0
1
16
0
0
0
0
0
0
2
4
1
24
16
0
9
24
24
16
0
8
8
0
5
5
0
0
0
16
0
0
0
8
8
0
16
16
16
16
16
4
0
0
16
16
8
0
0
16
16
32
32
1
1
0
16
16
16
16
16
16
0
0
2
2
8
18
18
4
0
0
8
8
0
2
16
16
0
0
0
16
12
4
2
2
17
17
17
0
0
0
0
12
8
8
8
8
8
8
8
8
16
16
16
16
0
0
8
8
0
0
4
4
0
16
16
16
16
32
0
8
8
16
16
16
4
24
0
8
4
4
4
0
25
25
0
0
0
0
0
0
0
8
16
16
16
0
16
16
40
4
8
8
8
0
0
1
1
4
0
16
16
16
16
16
8
8
0
0
0
32
24
24
4
0
1
0
0
0
8
8
24
24
8
16
16
16
16
16
16
16
0
4
0
8
0
0
0
0
20
8
8
8
8
0
0
16
0
0
0
16
17
3
25
17
1
4
8
16
17
17
17
17
16
16
4
4
8
8
8
8
0
8
8
16
0
0
0
0
0
0
0
0
0
0
8
8
8
1
1
1
16
16
16
8
8
8
1
8
16
8
24
0
9
0
16
0
0
0
0
8
8
8
32
32
8
0
3
8
11
1
0
0
0
0
16
16
4
0
0
0
0
0
16
0
0
0
0
4
4
4
4
4
4
8
8
8
0
0
8
8
8
0
32
32
32
8
0
0
32
12
12
0
16
16
0
0
0
16
2
0
0
0
0
0
8
8
8
0
2
4
8
8
1
1
0
0
0
0
0
0
0
0
0
8
0
0
0
3
11
0
40
0
0
0
16
0
0
0
0
4
4
4
4
4
1
1
1
1
1
16
57
57
8
0
0
8
8
2
2
0
0
0
0
0
0
1
4
4
16
0
8
0
48
0
0
8
16
16
16
0
0
1
2
2
6
0
0
0
0
0
0
16
0
0
0
0
2
0
0
2
8
16
0
16
4
4
4
0
0
0
16
0
0
1
1
1
1
1
1
0
0
0
0
4
8
0
0
21
8
8
1
0
32
2
0
0
12
0
24
16
16
16
16
2
8
8
0
1
1
1
1
0
0
0
0
0
32
32
0
0
0
0
8
17
16
17
17
0
2
16
8
0
0
0
0
0
0
0
0
0
0
16
16
16
49
49
16
16
16
0
8
8
0
0
0
24
0
0
8
8
0
16
8
0
0
0
1
1
1
1
0
0
8
8
0
0
33
2
0
0
16
16
16
16
2
16
16
8
4
0
0
0
0
8
0
1
16
16
16
0
2
2
0
0
0
0
16
0
0
16
16
1
8
0
0
0
4
8
8
16
16
8
4
4
0
16
16
32
32
16
24
24
0
0
16
16
16
16
16
53
53
17
8
5
8
8
8
8
8
8
8
16
8
24
24
0
0
4
4
8
8
8
16
0
16
16
16
4
0
16
16
0
4
0
16
16
0
0
0
8
0
16
0
16
0
0
0
0
8
32
32
2
8
8
0
16
0
0
36
36
36
1
2
2
0
8
0
0
8
16
16
0
16
0
0
0
16
16
0
0
0
0
0
2
2
26
8
0
0
2
2
8
0
16
16
4
4
2
8
28
28
16
0
0
8
6
6
6
16
16
0
0
0
8
8
8
8
8
8
8
0
0
0
8
9
13
8
8
8
0
24
24
1
4
8
0
0
8
8
8
8
8
8
8
8
8
16
16
8
0
18
0
16
1
8
8
8
8
0
0
33
8
8
0
0
0
1
1
1
1
1
1
8
0
8
8
0
8
4
4
4
4
4
4
16
0
0
0
0
4
4
8
32
10
10
8
1
16
8
1
0
0
0
0
0
1
1
0
0
0
0
0
8
0
32
8
8
40
16
0
0
0
0
0
0
0
8
4
4
4
4
0
0
12
16
16
8
0
0
8
0
0
0
1
8
2
2
8
8
8
8
0
0
0
0
0
8
8
8
8
8
8
8
8
0
0
0
0
16
8
0
0
0
0
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
4
4
16
18
18
18
18
18
18
16
16
16
10
4
48
8
24
24
0
24
0
0
0
16
0
1
17
16
0
0
0
0
4
4
4
12
12
8
0
0
0
6
6
6
8
4
4
4
4
0
0
0
8
8
8
2
2
1
1
1
1
1
0
0
16
0
8
8
16
0
0
0
0
1
8
0
4
0
0
2
2
0
1
8
0
8
8
8
8
32
8
8
16
0
8
8
8
8
8
0
1
8
8
8
0
0
8
0
0
16
16
16
0
0
0
0
0
0
0
0
8
8
0
8
0
0
1
8
0
0
0
2
2
2
0
0
0
8
8
8
8
1
1
2
2
0
0
0
0
0
0
0
0
16
16
8
8
8
0
0
0
0
0
0
0
8
0
2
16
16
16
16
8
8
4
1
16
16
0
0
0
4
4
0
0
8
8
20
8
1
1
1
1
1
1
16
0
0
56
56
0
16
8
8
16
0
8
8
8
8
0
4
16
1
1
8
1
34
34
34
2
0
0
0
0
0
8
8
0
8
20
4
0
25
0
0
0
0
16
0
0
0
16
16
16
0
16
8
24
24
24
16
16
0
2
0
32
1
8
8
8
8
8
12
2
0
0
0
0
8
8
8
8
8
0
0
0
4
8
8
8
8
8
8
16
24
26
26
8
8
1
8
0
0
0
0
8
0
0
0
0
0
0
0
8
0
0
20
0
16
16
17
17
0
0
0
0
0
0
0
16
0
0
0
0
8
32
8
8
0
0
0
0
0
0
16
16
0
0
0
0
0
8
40
40
4
0
0
0
8
4
4
4
0
1
0
0
34
8
0
4
4
8
8
8
8
0
0
0
0
48
48
48
0
0
0
0
1
1
0
0
0
0
0
0
16
16
16
8
4
26
16
16
16
0
16
16
16
16
16
0
8
8
8
8
1
1
0
0
0
0
16
16
0
8
8
8
4
8
5
8
0
8
34
34
8
8
0
0
4
2
2
20
20
20
8
8
8
8
8
8
0
2
16
16
0
0
0
0
0
4
8
8
16
16
16
16
16
16
16
0
8
8
0
0
0
8
1
1
1
1
1
8
0
8
8
0
0
0
8
8
0
16
16
16
16
16
16
8
8
0
0
0
4
8
0
8
16
8
8
16
16
2
8
8
8
8
0
9
24
0
0
16
0
8
8
0
8
0
2
0
8
0
0
0
0
0
0
0
0
12
2
2
10
2
0
0
8
16
16
2
8
0
32
1
1
16
16
0
8
8
0
0
0
16
0
0
0
0
0
16
0
0
0
20
20
0
8
8
0
0
0
0
0
0
0
8
32
9
8
2
0
0
24
4
4
4
16
16
0
3
0
2
8
8
8
1
1
1
16
16
16
16
16
16
16
16
0
0
0
0
8
8
8
8
4
8
0
0
5
8
2
2
4
4
4
0
0
0
0
0
0
0
0
0
0
12
12
12
12
9
56
56
16
0
0
8
8
8
0
0
0
2
2
8
8
8
16
8
8
8
16
16
0
0
0
1
8
16
8
8
8
8
8
8
8
0
8
8
0
8
0
0
8
8
32
32
32
8
8
20
1
0
0
1
8
8
0
0
0
0
16
0
4
4
4
8
0
8
8
8
0
8
8
0
0
0
0
24
16
16
0
2
2
8
24
8
0
8
8
8
8
8
24
24
8
8
0
0
8
8
32
4
16
0
0
8
0
0
1
16
16
20
16
16
0
0
4
0
28
16
12
12
0
8
4
2
8
8
0
0
8
8
8
1
1
0
0
0
0
4
0
0
0
0
10
10
10
10
3
3
2
28
8
0
0
9
0
0
33
8
1
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
8
8
8
2
48
17
8
8
8
8
24
0
0
0
32
32
0
0
0
8
8
8
8
6
6
6
6
8
0
8
0
8
0
0
0
16
16
8
8
32
0
0
0
0
0
0
8
1
1
40
8
0
0
0
8
0
4
16
17
8
8
8
10
8
8
8
0
8
9
0
0
0
0
0
8
0
4
20
20
16
16
4
0
8
8
8
8
8
8
2
0
0
0
0
16
16
8
16
8
8
24
8
4
4
4
4
4
4
1
8
8
0
8
8
4
16
16
16
16
0
0
16
0
0
0
16
0
32
20
0
16
16
4
0
0
0
0
0
3
4
2
0
0
0
16
0
2
16
16
0
0
16
16
16
0
0
16
16
8
8
8
8
16
16
8
8
0
0
1
8
8
8
8
8
8
8
8
8
8
32
32
0
9
9
16
8
8
8
8
8
8
0
16
16
0
8
0
32
0
8
8
8
8
0
16
32
40
8
8
4
4
56
56
56
8
0
16
8
9
9
17
17
0
16
0
4
4
4
8
24
0
0
0
16
16
16
1
8
0
0
16
16
0
16
12
0
8
12
16
20
20
0
16
4
0
20
0
8
0
16
16
16
16
16
16
16
16
16
16
2
32
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
16
2
24
16
17
0
16
16
8
19
0
0
0
0
0
0
0
0
16
8
8
16
16
16
0
16
6
2
16
0
0
0
16
0
0
0
0
0
0
16
16
4
4
16
8
8
8
16
16
0
0
9
9
0
16
16
8
8
8
16
0
8
4
2
2
0
0
0
0
8
8
0
0
0
41
41
41
8
0
0
0
16
8
16
16
1
16
8
8
0
0
0
0
0
0
16
0
8
2
8
8
0
5
16
16
16
16
0
0
0
2
2
0
8
4
4
8
1
1
1
1
0
0
32
32
50
50
1
8
32
32
16
17
48
48
48
48
48
8
16
16
16
16
16
0
0
0
0
0
20
8
0
0
0
8
0
0
0
8
8
8
8
8
8
0
0
0
2
16
8
16
16
16
16
2
2
2
8
0
0
0
8
0
0
0
0
24
8
8
20
0
0
0
16
16
0
0
0
0
8
4
0
8
8
0
36
0
8
16
0
0
8
0
16
0
0
16
14
8
8
8
8
0
0
0
0
16
0
8
8
5
4
4
4
4
4
4
4
16
0
1
8
8
8
1
2
60
20
20
20
0
0
0
3
0
0
8
0
0
4
4
4
0
0
0
0
0
8
0
0
0
2
0
0
0
4
8
2
1
1
1
0
1
0
0
24
0
4
0
0
4
4
4
4
2
0
8
8
0
8
16
16
16
0
0
16
0
16
20
24
24
0
0
1
0
0
2
0
16
16
0
0
8
0
0
0
8
8
0
16
16
24
2
4
24
8
0
8
8
0
8
16
0
8
8
8
0
4
16
16
0
0
16
0
40
8
0
0
8
3
0
0
8
8
0
0
0
16
34
16
8
0
0
32
24
0
8
8
16
16
0
8
0
8
2
2
2
0
13
0
8
0
0
0
0
0
16
16
16
4
4
16
8
8
8
24
8
8
8
8
0
0
0
0
0
0
0
16
0
0
0
16
16
16
4
0
0
0
0
0
0
0
0
0
0
0
16
16
16
1
1
8
8
0
0
16
16
16
16
0
0
8
8
8
2
2
2
16
0
0
0
16
0
8
8
0
0
0
0
0
0
0
0
8
16
0
0
4
4
8
8
8
8
0
32
32
32
18
0
8
0
32
18
18
2
8
8
8
16
16
16
16
1
1
1
2
4
4
0
8
8
8
8
24
0
8
8
8
8
8
0
16
16
0
16
16
6
16
1
8
0
0
0
0
0
8
16
8
41
8
16
24
24
24
0
4
0
8
8
0
4
0
0
0
0
0
16
24
24
0
0
2
18
0
0
8
8
2
2
0
0
16
8
2
8
32
2
0
0
8
8
4
0
0
0
0
0
2
8
32
16
16
2
0
4
20
0
0
0
0
16
24
34
24
2
2
2
0
0
0
0
2
0
0
8
2
2
2
0
32
32
32
8
16
16
0
0
0
8
8
8
16
16
8
8
8
24
8
4
0
0
8
8
0
32
8
8
8
8
2
2
2
2
0
4
8
33
8
12
24
6
8
8
18
8
16
0
32
32
2
0
0
0
2
2
8
41
32
32
8
28
0
0
16
2
32
32
16
8
8
8
32
14
14
14
16
16
4
8
8
8
18
8
8
0
4
4
17
16
0
0
0
28
0
4
0
0
0
32
0
0
0
16
16
16
2
2
2
4
4
4
0
16
4
4
24
24
4
0
0
16
7
0
1
12
12
1
0
8
0
20
0
16
16
0
1
1
8
0
0
8
8
0
0
0
8
8
8
0
16
16
60
60
8
0
2
2
0
8
0
0
22
8
8
9
8
8
16
8
0
18
0
16
16
8
4
4
16
4
16
43
24
16
0
0
0
16
0
0
0
16
16
16
16
0
1
0
16
4
0
0
17
17
16
8
8
0
8
8
8
0
8
0
5
5
0
0
0
8
0
0
4
4
4
2
2
2
0
0
0
0
4
4
17
8
0
1
16
16
0
0
0
16
0
16
16
16
16
16
0
32
0
8
8
1
1
32
16
16
0
16
0
8
4
0
0
0
0
0
0
24
1
8
8
8
0
0
8
8
0
16
8
1
8
16
0
0
24
0
0
0
16
16
16
0
0
0
0
0
6
6
2
8
8
8
8
8
4
0
0
0
0
1
1
1
24
0
8
0
0
0
16
16
8
1
8
16
8
16
16
16
16
16
16
16
0
0
0
24
24
0
16
16
16
16
16
16
0
8
8
8
0
4
4
0
0
0
0
0
0
0
0
0
0
0
8
0
0
11
11
11
8
8
16
0
16
16
16
16
8
8
0
16
16
0
0
4
4
0
0
28
8
8
8
16
16
16
16
16
48
16
16
16
8
37
37
16
0
0
0
0
0
0
0
16
0
16
16
16
16
0
0
0
16
0
9
8
8
8
0
8
0
0
12
4
1
0
0
1
0
0
16
16
16
12
22
8
8
8
20
20
16
16
16
0
0
22
2
0
0
0
16
24
24
2
0
0
0
0
0
0
0
16
16
16
16
2
0
2
4
17
17
16
28
28
28
8
8
8
16
16
16
2
8
0
8
8
1
1
1
0
0
0
0
8
8
16
41
41
41
41
41
16
32
32
32
32
32
0
16
2
0
8
8
18
18
18
0
8
16
16
0
8
0
0
0
0
0
8
8
8
8
16
16
8
0
0
8
8
0
0
0
4
0
16
0
0
8
0
8
0
1
1
1
8
8
24
24
8
0
0
8
1
1
1
1
0
0
4
0
0
0
0
0
0
0
0
1
1
16
16
8
8
12
0
1
8
0
0
36
8
8
8
8
8
8
8
9
9
9
9
9
9
8
16
16
0
0
18
1
16
0
0
0
9
0
0
8
8
8
0
0
0
8
8
8
8
16
8
0
16
16
8
8
8
8
12
8
8
8
0
0
0
4
0
8
8
16
16
0
16
16
0
16
8
0
0
0
0
0
0
0
0
0
0
9
16
17
0
0
0
2
2
16
8
0
8
8
0
16
16
16
16
16
16
0
0
1
16
16
24
28
16
0
4
4
0
0
0
0
8
2
0
24
0
0
0
16
16
0
0
0
0
0
0
0
20
0
1
1
1
0
0
0
0
0
8
24
24
17
17
0
0
0
0
0
0
0
4
0
0
0
0
24
8
20
8
0
0
0
0
0
0
0
0
2
2
37
8
0
0
0
17
17
0
16
3
8
16
1
16
0
0
8
0
0
4
8
0
0
12
12
12
0
0
16
1
0
0
0
0
0
4
4
20
4
0
16
16
16
24
24
24
4
0
0
0
0
0
0
0
32
40
40
40
40
16
16
16
0
0
8
8
0
0
1
4
4
2
0
0
4
4
2
4
4
4
4
32
0
0
0
1
16
0
8
8
8
8
0
0
0
8
0
0
0
0
8
0
0
32
32
0
0
16
16
8
8
8
8
0
0
4
4
4
0
0
8
0
0
2
0
0
0
0
20
0
16
16
16
16
16
0
1
17
24
8
40
8
0
0
0
0
0
8
0
0
8
4
0
16
16
16
16
16
8
16
0
16
16
16
4
40
26
8
4
0
0
1
24
8
0
0
0
16
0
2
2
8
4
4
4
4
16
2
16
0
32
32
32
32
0
0
4
4
8
8
0
8
0
8
8
8
8
0
0
0
8
4
0
0
8
3
0
0
8
8
8
0
4
4
0
8
4
0
0
49
8
8
0
1
1
4
4
8
8
8
0
0
0
16
16
41
8
8
8
8
4
4
16
16
8
0
0
0
0
16
16
16
16
16
16
4
0
0
2
0
6
0
16
16
16
0
8
8
8
1
16
0
8
16
0
0
0
2
0
0
16
16
16
0
0
2
2
2
2
2
8
8
0
0
16
8
8
8
8
8
8
0
0
0
0
18
0
0
0
8
0
0
0
0
16
16
16
1
0
0
0
4
2
2
8
8
2
2
2
8
8
8
1
20
8
8
8
10
10
4
8
0
0
8
24
8
8
8
8
8
0
0
0
0
0
42
16
16
16
24
24
24
0
2
2
48
16
16
16
0
0
18
18
16
16
16
16
1
1
8
16
16
8
8
0
0
8
4
4
16
0
8
8
8
0
24
24
24
8
0
2
48
0
0
0
0
0
0
0
0
0
0
24
8
8
16
0
0
18
1
1
1
1
0
0
0
0
0
0
0
0
16
0
8
32
44
44
44
44
44
0
0
37
37
0
0
0
0
16
32
32
24
24
24
24
16
8
16
16
24
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
8
8
0
0
0
0
0
8
8
0
0
16
16
8
8
16
0
8
8
8
8
0
8
8
8
0
16
0
16
8
8
4
0
4
4
8
8
0
0
9
0
0
32
1
16
16
0
8
32
32
32
8
8
8
8
8
8
8
18
18
0
0
0
16
16
32
8
8
0
8
0
8
8
8
8
8
24
12
8
8
8
16
16
4
12
0
0
0
2
16
8
8
8
24
8
0
8
8
8
2
0
0
0
0
16
8
0
0
1
25
4
4
8
8
0
0
8
8
0
8
2
0
8
0
0
0
0
25
1
49
0
0
0
0
0
0
8
0
0
8
16
16
16
1
8
0
8
1
32
20
20
20
16
16
16
16
16
0
0
0
0
16
16
16
8
0
0
0
1
16
16
16
1
1
8
8
16
0
8
0
16
8
0
0
20
16
16
8
8
0
0
16
0
0
32
2
2
16
16
25
0
8
0
0
0
0
0
24
8
0
0
8
0
0
0
4
8
8
1
1
1
1
8
8
8
0
16
16
4
0
0
0
8
16
16
0
16
0
8
16
45
17
8
4
4
8
0
16
1
1
18
16
16
1
1
1
1
1
36
36
36
36
32
32
32
8
16
16
16
16
0
16
8
8
8
8
8
17
17
17
8
0
16
8
8
16
16
0
0
0
4
4
0
1
1
1
1
2
0
0
4
4
4
8
0
0
0
8
0
16
0
12
12
0
0
8
0
16
0
2
0
0
0
0
16
18
0
0
4
0
0
16
8
0
0
16
16
0
0
0
0
16
0
28
0
0
0
16
8
8
0
0
0
8
0
1
1
0
4
4
0
2
17
0
0
0
0
8
16
16
16
0
0
0
0
0
0
0
8
2
10
0
0
45
45
8
12
8
0
0
0
0
8
8
0
0
18
0
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
8
4
4
4
16
8
0
0
0
4
24
0
0
0
0
0
16
0
0
0
16
8
16
0
0
8
4
0
0
32
0
0
0
9
0
1
1
0
0
0
20
0
0
0
0
2
8
0
0
0
16
0
0
28
28
28
28
28
32
32
32
32
0
0
8
0
1
14
12
16
16
12
0
16
0
0
0
0
4
4
4
4
8
8
2
4
6
8
8
3
3
16
0
2
0
16
8
8
8
8
16
4
4
1
1
0
0
0
0
1
1
1
1
1
0
0
16
0
16
16
0
1
1
20
16
0
16
1
1
8
0
0
0
0
1
0
24
0
0
0
0
8
8
4
0
1
1
16
4
8
32
32
32
32
0
0
4
4
20
12
16
1
16
4
4
8
8
8
16
16
1
1
1
1
4
0
0
16
16
2
8
4
4
0
0
16
16
16
8
8
0
0
20
20
20
0
0
28
28
0
24
16
16
8
8
8
16
8
8
20
0
0
0
0
0
4
0
0
48
8
0
0
0
0
0
26
8
8
32
32
32
16
24
16
8
0
0
0
0
4
0
0
24
21
21
16
8
0
0
1
1
1
8
32
32
32
0
0
0
8
0
0
0
0
0
0
2
2
0
0
0
16
16
16
0
0
2
0
8
8
8
8
0
0
8
16
16
0
5
16
16
8
8
8
8
8
8
2
2
1
1
1
1
1
0
16
0
4
0
8
0
8
0
0
0
8
0
0
8
0
2
2
8
8
0
0
16
8
8
8
8
1
16
16
0
0
16
16
8
1
16
16
16
16
16
16
0
8
8
0
4
8
0
4
4
4
4
4
16
16
41
41
41
1
1
1
1
1
8
0
17
17
8
0
0
0
16
4
0
0
8
0
0
0
8
8
8
2
16
4
0
4
4
16
16
8
8
8
8
8
0
48
16
1
0
16
4
24
0
24
0
0
0
28
4
8
8
8
8
0
16
16
16
0
0
2
2
0
0
0
0
0
0
0
0
2
0
0
24
8
8
0
4
2
2
0
16
16
16
16
0
0
0
8
24
0
1
6
16
8
8
1
8
0
0
32
8
8
0
8
8
0
0
0
32
16
0
0
8
8
1
28
2
16
16
16
8
1
1
16
8
8
16
16
16
16
16
16
18
8
8
0
0
0
0
0
1
1
1
16
8
0
0
0
16
0
0
0
8
8
8
8
8
8
16
0
0
16
16
4
4
16
36
1
20
20
0
8
8
8
16
8
16
8
1
16
1
4
4
4
0
1
1
1
1
1
16
8
0
32
8
8
8
8
16
16
0
18
1
2
0
0
8
0
8
42
0
8
0
4
0
0
0
2
0
0
1
16
16
16
0
0
0
0
16
16
1
8
8
8
8
8
0
0
0
8
8
2
16
24
0
0
16
16
0
0
0
0
0
8
8
8
8
16
16
16
16
12
0
0
0
16
16
0
1
0
8
8
8
24
16
8
8
8
8
0
0
49
49
0
0
0
16
0
1
4
4
4
16
1
36
0
0
0
0
0
8
2
2
16
8
8
1
0
0
0
0
4
4
0
0
0
8
16
0
0
1
16
1
1
16
16
16
32
0
0
0
0
4
4
4
0
0
8
8
0
0
16
0
1
8
4
16
16
0
0
4
8
8
8
0
4
8
8
8
8
8
0
0
29
28
28
28
8
2
0
0
0
8
36
16
16
16
16
16
16
16
16
16
16
4
28
8
16
16
16
8
8
4
4
8
8
8
12
1
0
0
0
4
0
0
0
0
8
30
30
0
0
16
16
0
4
0
2
0
0
53
53
16
16
16
16
8
8
37
37
37
0
4
18
18
16
0
16
0
16
0
8
0
0
2
0
12
8
8
4
4
0
0
35
0
0
8
17
17
17
8
0
16
16
28
28
0
0
16
4
0
0
0
0
25
0
0
32
0
32
16
0
0
0
0
0
0
0
0
0
0
4
20
20
20
20
2
0
0
0
16
8
0
0
16
16
16
0
1
16
16
16
16
16
16
16
16
16
16
18
18
8
0
0
0
8
8
8
1
1
16
16
16
16
1
1
1
1
1
1
0
0
1
0
24
1
31
31
0
0
8
28
0
16
16
0
0
0
0
0
0
8
0
0
4
4
4
8
0
0
4
4
16
0
0
8
0
8
8
8
22
22
0
0
0
0
0
16
16
32
32
32
0
16
8
8
8
8
8
8
8
4
16
16
16
16
16
16
4
16
1
17
17
1
1
0
0
24
32
32
8
0
8
16
16
1
16
0
16
33
0
0
16
8
8
8
1
0
0
0
4
8
8
8
9
9
9
9
0
16
16
16
8
0
1
0
1
8
4
27
27
27
27
16
8
8
8
8
8
0
0
0
0
32
0
8
0
40
16
32
4
0
32
8
4
4
14
0
0
16
16
16
16
8
8
8
4
4
4
4
4
8
0
0
0
0
0
8
0
8
8
1
1
1
1
1
0
0
0
0
0
0
20
20
8
8
4
24
10
10
2
0
0
0
0
0
0
16
0
4
4
4
4
0
0
16
24
32
4
0
0
0
0
0
1
4
4
8
2
4
4
0
0
0
0
0
4
4
4
8
8
2
8
8
8
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
8
8
1
1
16
0
0
0
0
25
1
1
8
8
8
20
16
16
8
2
16
0
24
0
0
8
8
0
0
4
8
8
16
0
4
8
8
8
8
8
8
0
0
2
2
0
0
0
32
32
0
0
16
8
16
0
4
4
4
4
8
0
0
0
20
8
8
8
16
2
2
4
8
20
8
0
1
0
0
20
24
0
0
0
0
2
0
0
0
8
0
0
16
16
24
8
8
8
16
16
16
0
4
2
2
2
2
0
0
0
0
4
4
16
24
8
56
8
0
8
8
0
0
0
0
0
8
8
0
8
57
57
0
0
0
0
8
8
1
1
8
18
22
22
0
0
16
8
8
6
0
0
0
0
0
0
16
8
0
2
0
0
0
0
2
32
32
32
32
32
8
0
0
0
16
16
16
16
2
0
0
0
1
0
8
24
4
16
0
0
8
16
8
0
0
8
0
1
16
0
16
16
16
8
8
8
8
8
4
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
32
16
9
8
4
4
4
4
0
0
0
16
1
12
12
8
8
8
16
8
0
0
8
8
0
0
12
50
8
8
8
16
32
32
8
1
16
0
2
4
12
4
4
8
8
8
0
0
16
8
8
8
0
0
0
0
1
0
6
6
6
0
0
0
0
0
20
0
0
8
0
16
16
16
16
2
2
2
1
0
16
24
8
16
16
8
0
0
0
2
0
8
0
8
0
1
1
1
1
8
8
0
0
0
16
16
16
16
16
16
16
16
16
0
1
0
32
8
8
16
8
8
8
4
4
5
24
2
8
0
0
0
0
4
4
4
16
0
0
8
0
0
8
4
12
0
0
0
16
8
8
16
0
0
8
16
0
16
40
16
14
1
1
1
0
4
4
4
2
2
4
0
8
32
4
4
4
4
8
8
0
0
16
4
16
8
0
16
8
0
0
4
4
4
4
16
16
1
1
1
16
0
0
8
8
1
0
0
18
8
8
0
0
8
8
2
1
8
8
8
8
0
0
16
24
42
0
0
0
0
0
0
0
0
0
0
0
0
16
0
8
8
8
8
0
0
0
16
17
17
24
24
24
8
4
0
0
0
0
16
0
0
0
16
32
0
0
1
32
16
0
0
0
0
0
0
0
1
16
16
1
2
2
16
0
0
8
1
0
8
8
4
4
4
4
24
8
0
4
0
16
16
16
16
16
0
0
32
41
0
4
4
4
4
32
16
16
16
16
16
0
8
0
40
32
18
0
0
8
8
8
8
8
8
8
9
8
0
0
0
8
0
2
0
0
0
10
10
0
0
16
0
16
24
0
0
24
24
8
2
2
2
2
0
6
2
8
8
8
18
18
18
18
4
0
4
4
24
24
0
8
8
0
0
0
0
0
0
0
0
0
32
8
8
32
0
0
16
8
0
6
6
6
0
16
8
8
1
0
0
0
8
8
16
0
0
0
0
0
16
27
27
1
1
0
16
16
0
0
0
1
24
24
0
0
0
0
0
0
0
6
0
0
2
2
0
16
16
16
16
8
40
8
1
1
1
40
40
0
8
8
8
16
16
16
16
8
8
0
16
8
4
0
1
0
0
0
0
0
0
0
0
0
16
0
16
16
16
16
16
16
16
8
8
0
0
0
41
41
41
41
0
0
0
8
8
8
0
0
41
8
8
8
8
0
16
16
16
0
0
0
0
0
0
0
2
0
0
24
8
8
8
0
0
32
32
11
11
33
8
8
1
1
1
16
8
17
8
8
1
0
8
8
0
0
16
18
0
0
0
31
16
12
8
8
8
8
8
16
16
0
0
1
3
8
0
16
16
16
16
8
5
5
4
0
0
0
0
0
18
0
0
0
8
8
8
0
0
0
0
0
24
0
0
0
0
8
8
8
8
8
8
1
1
1
4
0
0
6
16
16
16
8
8
8
8
8
16
16
24
24
8
48
48
48
48
0
0
16
16
0
8
0
1
2
16
8
8
8
24
12
0
8
4
4
4
4
16
16
16
16
0
1
0
0
4
4
4
4
4
0
0
24
4
1
32
8
8
16
16
16
16
16
16
0
0
0
0
0
0
1
0
8
18
8
8
8
8
8
8
8
16
8
8
8
0
0
0
16
16
2
0
0
0
0
0
0
0
1
1
1
1
24
24
16
16
16
16
0
0
8
0
8
8
0
8
0
8
8
4
4
0
8
8
16
8
8
8
0
0
20
20
20
0
0
0
16
8
0
2
0
16
0
16
8
1
1
1
1
1
20
16
0
0
0
0
0
0
0
4
4
32
16
4
4
4
0
8
0
4
4
4
16
0
0
0
6
16
16
1
0
0
2
0
0
1
1
1
2
2
4
22
22
16
16
0
8
8
8
8
0
2
2
8
8
0
16
1
1
0
16
16
1
1
1
0
0
0
0
0
0
0
1
0
0
8
1
0
8
1
1
1
0
8
16
4
1
1
8
16
16
16
8
8
8
8
0
0
0
8
8
0
0
4
16
16
16
16
2
0
10
8
0
2
8
8
0
0
0
16
16
16
16
8
18
16
16
0
16
16
0
0
9
9
0
0
8
16
16
16
16
16
2
0
1
8
0
16
16
16
8
16
16
0
0
0
0
0
0
0
0
16
16
16
16
4
4
0
8
3
0
0
2
2
8
16
16
0
8
8
0
0
0
0
4
0
0
0
1
1
1
1
1
0
6
4
12
0
8
8
8
16
0
17
16
0
0
1
0
0
0
16
0
1
1
2
16
16
32
32
0
26
4
4
16
16
0
16
0
0
8
0
0
0
0
0
0
0
24
0
8
0
0
0
0
0
2
8
1
0
0
8
24
24
0
8
8
8
0
0
0
0
2
0
0
0
0
0
9
8
2
2
2
2
2
2
2
2
2
4
0
8
0
0
0
20
0
8
0
0
8
8
8
8
8
8
0
0
0
8
8
0
16
0
8
10
10
4
4
0
0
0
0
8
8
0
0
16
0
16
0
0
0
0
0
4
8
8
8
8
8
0
12
16
8
16
0
0
0
8
8
56
48
8
4
0
8
2
2
2
0
0
16
16
16
0
0
1
16
16
16
4
4
4
8
40
8
8
4
4
4
0
0
4
4
4
1
16
16
16
0
8
28
0
0
40
32
32
32
16
4
4
0
0
0
8
0
0
8
0
0
0
1
16
8
16
16
16
8
16
0
4
0
0
0
4
4
4
4
2
32
32
8
0
0
8
8
8
0
16
8
8
0
0
0
8
16
0
16
0
20
8
8
4
8
8
8
0
0
0
0
1
0
4
0
16
16
16
0
16
16
16
16
8
24
0
16
16
8
8
8
8
16
5
4
4
0
8
2
2
2
0
1
8
1
1
16
28
0
8
8
8
8
8
0
0
0
8
12
16
16
15
8
8
0
1
1
8
4
4
8
0
16
0
8
8
8
8
29
2
0
4
16
0
0
0
16
16
9
9
9
8
8
0
32
32
32
16
16
16
16
7
32
8
8
0
44
32
32
8
8
8
8
0
8
0
1
24
0
0
0
18
0
0
0
0
49
49
49
49
49
8
8
8
8
8
8
8
0
0
0
0
0
0
8
16
8
8
0
0
0
0
16
16
2
8
0
8
0
0
0
0
0
0
0
0
0
8
8
16
16
16
16
16
16
16
16
8
0
0
0
0
0
24
24
24
24
8
8
0
0
0
0
0
0
22
0
16
8
0
8
0
0
0
0
8
8
8
8
8
32
32
32
16
16
32
0
0
4
4
4
4
2
2
0
8
30
30
0
0
0
16
16
1
1
24
24
0
8
8
0
4
16
16
12
0
8
0
0
0
16
16
16
16
8
0
4
8
1
1
0
0
0
0
0
16
16
16
16
16
0
0
16
16
16
24
24
24
24
24
8
32
32
32
1
1
1
8
0
0
0
10
10
0
0
24
24
4
2
2
0
0
0
0
0
0
0
32
0
0
8
0
16
16
0
0
0
0
16
16
0
1
1
0
0
32
20
1
0
16
0
16
8
0
8
0
0
0
0
4
4
4
16
24
0
0
0
0
10
37
0
8
0
8
8
10
10
8
8
4
16
2
8
0
4
0
0
1
16
0
4
4
16
0
0
0
8
0
0
0
16
0
16
16
0
16
16
16
16
27
8
8
8
0
0
8
8
0
16
1
1
8
8
15
15
0
0
0
8
8
24
16
0
0
0
0
0
1
1
1
1
1
0
8
0
0
0
0
0
0
0
0
0
0
0
0
8
0
8
16
16
8
8
16
0
1
16
16
20
0
12
16
9
9
20
3
16
16
16
0
4
0
0
0
0
0
0
8
0
2
2
0
42
42
2
8
0
16
16
16
32
4
1
8
8
8
24
8
8
0
0
0
8
0
24
24
16
16
16
0
1
0
0
0
0
0
16
16
16
0
0
0
0
0
16
16
16
8
16
0
0
0
0
8
16
0
0
0
24
0
8
8
8
8
8
4
16
16
0
0
8
8
8
2
0
16
0
0
0
17
2
2
2
2
0
0
8
8
16
8
8
0
0
0
0
0
0
0
0
8
0
0
0
0
0
4
8
0
16
16
8
8
8
8
0
33
33
8
8
8
8
32
0
0
0
0
0
16
16
0
0
8
0
0
5
52
0
0
0
0
4
25
25
0
0
0
0
16
16
0
0
1
0
0
16
16
8
8
8
8
0
0
0
0
4
0
0
0
4
4
0
0
8
4
4
8
8
14
14
14
14
14
14
22
16
1
1
1
8
28
0
16
16
16
8
0
12
12
8
8
0
0
0
0
0
0
3
32
32
0
16
16
0
2
10
2
0
0
8
8
8
32
8
4
1
1
0
0
8
16
16
16
16
16
0
8
8
8
16
16
16
16
0
0
0
16
0
0
0
0
16
16
0
1
8
0
4
4
8
0
0
0
0
8
8
0
0
0
0
0
2
2
2
2
2
0
0
0
24
16
0
0
10
0
0
0
16
16
56
8
8
8
8
8
8
1
16
16
16
16
16
8
8
0
0
0
0
9
9
8
17
8
8
18
18
18
18
18
0
16
0
4
8
0
0
0
0
0
0
0
0
0
16
0
0
0
8
8
8
8
8
0
50
16
0
0
0
8
4
4
4
16
16
16
2
16
8
8
8
16
16
16
16
16
16
0
0
0
2
2
2
0
0
2
2
0
16
16
16
2
2
0
10
10
0
0
12
12
2
2
1
0
0
8
8
8
16
0
0
0
13
0
0
24
16
1
1
0
0
8
8
4
8
8
8
0
0
28
8
0
8
8
8
8
8
8
8
8
0
4
32
32
32
0
8
8
8
8
8
8
8
8
20
8
8
0
0
0
8
4
4
4
8
16
0
0
8
24
0
0
0
8
8
8
0
0
0
0
20
20
20
16
16
16
2
0
16
16
2
2
0
8
0
0
9
0
0
0
0
0
1
4
8
0
4
4
4
8
8
39
0
0
16
16
16
0
4
4
16
16
0
2
2
16
16
16
0
0
0
0
0
8
8
0
16
0
1
0
0
0
0
0
0
16
8
0
32
4
1
1
1
1
0
2
4
4
4
8
0
0
0
0
0
0
0
0
10
31
0
8
8
8
8
8
8
32
0
0
0
8
16
0
0
1
1
0
8
8
16
9
0
0
0
8
8
0
0
4
0
0
0
0
0
8
8
8
8
0
16
8
0
16
16
20
4
25
0
0
0
0
32
32
32
0
8
8
0
0
8
8
8
8
0
0
0
0
0
0
8
24
24
24
0
0
16
16
4
4
4
8
0
8
0
28
0
0
8
8
8
8
16
16
0
16
16
35
1
0
0
16
8
8
8
16
16
8
8
8
24
0
1
8
2
2
2
40
0
0
0
0
0
16
16
8
0
1
1
1
6
6
8
0
0
0
16
16
16
16
8
8
9
9
0
16
16
24
24
24
0
16
16
8
4
4
0
8
8
17
1
2
2
0
0
12
12
12
0
16
16
16
16
8
8
8
8
8
0
0
4
8
0
0
0
16
6
6
16
0
0
2
16
16
16
8
8
16
24
24
8
4
0
0
0
0
0
9
0
48
48
48
48
8
0
16
16
8
8
8
8
0
0
0
2
0
8
8
0
20
20
20
20
20
20
20
12
12
8
8
0
0
6
6
6
6
4
1
4
4
4
16
0
0
0
32
32
32
32
0
0
0
0
0
0
0
0
0
0
0
4
4
0
8
8
8
8
8
0
0
0
0
0
0
0
8
8
0
8
8
8
8
8
1
2
16
16
4
4
20
0
0
0
0
1
1
33
0
0
0
0
0
0
34
0
1
48
0
0
24
24
8
8
8
0
0
0
0
25
16
16
16
16
16
16
16
0
0
0
0
8
8
0
0
0
8
0
0
0
8
8
8
8
8
0
0
0
8
0
16
8
1
1
0
0
0
0
0
8
8
16
0
4
0
0
8
0
0
0
8
0
16
0
10
10
10
10
10
10
8
8
8
8
16
8
8
8
8
8
8
8
4
4
4
4
4
8
2
8
0
32
32
32
20
20
20
2
0
28
28
4
4
0
0
0
8
13
13
0
8
8
1
8
8
8
8
8
16
10
0
8
8
0
0
0
0
16
4
0
0
0
0
4
0
0
16
16
16
0
32
0
0
13
4
4
4
4
0
0
8
0
1
1
0
8
16
10
0
0
0
0
0
0
8
8
8
0
0
24
0
0
0
0
37
0
0
4
4
4
4
0
0
0
2
0
8
8
8
16
16
0
0
9
8
17
0
8
16
0
0
0
6
0
4
4
16
8
8
1
8
0
0
0
8
0
8
8
8
0
16
18
16
4
16
16
16
16
0
0
16
4
4
4
4
4
4
4
0
0
0
0
16
1
0
0
32
32
32
32
1
8
32
0
16
16
0
0
16
16
16
8
8
0
0
16
16
16
24
0
0
0
0
16
0
8
8
0
0
58
16
8
8
0
0
1
1
8
0
2
0
32
4
0
4
8
8
8
8
8
0
4
16
16
16
8
8
16
8
8
8
8
16
8
8
8
8
8
8
8
8
8
8
0
0
0
4
16
4
4
4
4
4
0
0
16
16
16
16
0
0
28
8
8
16
0
0
16
8
0
40
32
4
0
0
24
24
8
8
8
0
16
0
8
0
0
0
4
4
0
0
4
4
0
0
0
32
3
3
3
33
0
8
33
0
0
0
0
2
4
4
16
16
16
0
0
0
0
0
0
0
0
16
16
0
8
8
0
8
0
0
0
4
4
0
0
0
0
0
0
0
16
8
8
16
4
16
16
0
0
24
24
16
0
8
0
0
2
2
2
0
0
0
0
4
16
0
0
0
0
0
0
40
40
9
8
16
0
20
0
0
8
8
0
0
0
16
16
16
0
0
0
0
1
1
1
1
8
8
8
8
0
16
16
16
0
0
0
16
24
0
16
16
16
16
16
0
0
12
8
0
8
8
0
0
0
4
4
8
0
0
0
1
0
16
17
4
4
0
16
16
0
16
0
0
0
0
5
0
1
1
16
2
2
8
0
36
36
0
0
8
8
0
0
0
8
0
0
0
4
36
1
1
0
0
0
0
0
4
0
0
0
16
16
16
0
8
8
0
4
4
1
1
1
56
0
0
8
8
0
0
0
0
2
2
8
0
0
0
16
0
0
16
16
16
16
16
0
48
48
48
48
48
48
0
1
0
2
0
0
0
0
16
16
16
4
0
9
8
1
9
9
0
0
4
4
0
0
0
8
0
0
4
5
0
0
0
0
0
0
0
16
0
8
8
0
33
33
0
8
8
0
8
8
0
0
0
0
0
0
0
16
0
40
0
4
16
16
0
0
0
5
5
16
0
4
8
4
0
0
0
0
2
8
0
0
16
16
0
0
8
0
8
0
8
8
8
1
1
1
1
0
1
1
0
0
4
4
0
0
0
0
3
0
2
0
4
2
24
24
8
16
16
16
16
16
8
0
20
20
20
16
0
16
16
8
8
0
0
0
0
0
0
0
0
8
8
8
8
16
2
2
0
16
0
16
8
16
0
0
0
0
8
0
8
18
2
8
0
8
16
16
8
16
16
16
8
0
4
16
16
16
0
1
1
0
0
40
0
0
8
8
8
0
0
0
34
8
0
0
0
0
0
8
8
0
1
0
0
0
16
8
0
24
8
0
8
8
8
8
8
2
0
4
0
8
8
0
12
0
32
0
0
24
4
4
8
16
8
0
0
0
0
16
16
0
0
0
0
0
8
8
0
0
0
16
0
0
8
0
0
0
0
0
0
8
16
8
1
24
16
16
8
0
0
0
1
1
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
4
8
16
0
0
0
8
8
8
2
16
8
0
4
8
28
0
0
0
8
8
8
8
8
32
0
0
8
16
0
0
8
0
16
16
16
16
38
0
0
2
0
0
8
36
4
0
24
0
0
0
0
4
4
4
0
0
8
0
0
0
0
0
0
0
0
0
8
16
16
8
16
4
0
0
12
32
48
0
8
0
0
0
0
20
9
4
4
0
4
8
0
8
8
0
0
0
0
0
0
0
0
0
0
8
4
18
18
18
18
18
18
16
8
0
0
0
16
0
8
0
0
4
0
9
8
0
0
16
16
0
20
20
20
4
8
38
16
16
22
22
8
0
1
8
32
32
16
16
16
16
1
21
8
0
0
0
4
21
24
8
8
16
0
16
2
2
16
4
8
8
1
0
0
0
0
0
8
8
8
0
0
0
16
9
9
0
0
0
0
2
2
16
16
8
8
1
0
2
2
2
2
0
0
0
0
1
0
8
8
8
8
0
0
8
8
16
16
16
20
16
16
16
0
16
16
0
2
0
0
4
6
0
0
0
0
0
16
0
16
0
0
0
0
0
8
8
0
0
0
0
8
8
8
0
8
1
1
5
12
0
2
25
20
0
0
16
0
0
0
0
0
8
0
0
0
0
0
0
0
16
0
0
0
2
2
32
32
32
32
32
32
8
8
12
0
0
0
16
0
0
56
16
16
0
8
8
8
8
0
2
0
1
1
8
8
8
16
8
8
8
0
16
16
16
16
16
0
0
24
24
2
4
0
8
0
16
8
8
8
8
0
0
4
0
0
4
0
1
0
0
0
2
24
0
0
0
0
0
8
16
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
0
16
16
16
8
0
0
4
4
0
0
0
29
29
0
24
8
8
8
0
0
0
1
1
1
0
8
0
0
12
16
0
8
8
8
8
0
8
8
8
0
0
0
2
2
6
16
8
8
0
8
8
0
0
0
0
0
0
0
0
0
10
10
10
0
4
0
0
0
0
0
0
0
16
16
16
0
16
10
8
8
8
8
8
32
32
0
40
40
0
0
0
1
0
0
0
0
0
0
0
27
8
8
32
0
2
8
0
0
0
0
0
24
24
8
0
16
16
8
4
0
0
0
8
8
16
16
0
0
0
4
0
1
1
1
1
0
32
16
8
8
1
16
16
16
12
0
0
0
8
4
4
4
8
0
0
0
0
0
24
8
0
8
8
0
40
40
8
8
0
4
16
8
0
0
0
0
0
0
8
8
8
8
0
25
2
8
8
8
0
8
8
0
0
8
16
0
0
8
8
0
0
0
2
16
1
0
0
0
0
16
16
0
0
0
0
0
0
0
0
4
8
0
0
8
0
0
0
16
16
0
0
0
0
17
0
0
0
0
57
0
0
16
0
0
0
0
20
16
20
32
8
8
16
0
0
8
8
16
16
0
0
0
0
16
0
0
16
0
0
8
0
0
0
0
0
16
0
0
16
16
3
16
8
24
0
0
0
0
0
0
0
0
0
0
2
16
0
0
8
8
8
8
8
8
0
0
0
8
0
16
16
16
8
0
0
8
0
2
16
16
0
4
10
10
2
2
0
4
0
0
8
8
8
8
0
0
17
17
17
16
2
0
1
0
0
8
8
8
16
0
0
0
9
0
0
0
0
0
4
16
0
0
0
16
8
8
8
8
8
8
8
8
0
0
5
0
0
0
0
0
0
0
16
16
16
8
8
0
27
25
25
25
1
0
0
0
0
0
0
0
8
8
8
8
0
8
8
32
0
0
1
1
0
1
8
0
8
1
0
0
0
0
0
0
0
0
0
0
0
4
4
8
0
0
33
4
16
0
0
0
0
0
0
16
16
0
0
0
0
34
8
0
0
16
16
8
0
0
4
0
0
8
8
2
2
2
2
2
0
0
16
16
16
20
0
0
0
0
16
16
16
8
0
0
0
1
1
0
8
8
8
0
0
0
0
0
5
8
0
0
0
0
0
8
8
8
8
0
0
0
32
4
16
16
24
16
16
0
0
16
8
0
0
0
8
8
0
8
4
0
0
20
36
8
0
9
9
0
0
0
8
8
8
8
8
0
0
0
0
0
1
8
8
8
0
8
8
33
33
16
0
16
16
16
24
8
0
0
0
0
0
61
0
0
16
0
16
0
0
16
16
0
0
0
1
20
20
20
16
12
16
40
0
0
8
8
0
1
1
10
10
0
0
8
4
0
2
0
0
9
9
8
0
0
0
2
0
16
0
0
0
0
0
0
16
16
32
0
1
16
20
20
20
20
0
12
0
0
0
1
0
8
0
0
24
24
24
16
8
8
0
0
18
18
0
8
8
16
8
8
2
0
0
0
0
24
58
16
4
4
0
0
12
12
4
4
1
8
0
0
0
0
8
0
8
0
0
3
3
0
0
0
0
16
8
8
16
16
16
16
0
32
32
0
0
8
8
8
4
4
0
0
0
16
0
0
12
4
4
0
0
8
12
12
0
0
0
0
8
16
16
8
8
16
0
16
16
6
6
0
0
0
0
8
0
8
8
2
2
2
4
8
0
0
0
0
0
8
8
8
8
0
0
0
8
8
8
8
8
0
0
0
2
8
8
8
8
16
8
7
7
0
16
16
0
0
16
16
24
16
8
8
0
16
16
0
0
16
0
4
0
0
0
2
2
2
2
16
0
8
8
16
0
0
0
0
0
16
16
3
4
0
8
0
0
0
0
0
0
0
1
1
1
8
8
32
16
0
0
0
2
16
16
4
4
8
8
8
0
17
17
17
0
16
16
16
0
0
58
58
0
0
8
0
0
0
0
16
1
1
0
0
0
8
0
0
2
2
16
1
16
0
24
16
16
0
2
1
1
0
16
0
0
0
8
0
0
4
24
0
35
0
0
0
0
0
0
8
8
0
0
0
0
16
0
2
4
0
8
8
0
0
8
0
0
0
8
8
0
4
4
16
16
8
0
9
8
48
8
0
0
4
4
0
0
4
2
2
9
8
8
0
0
0
18
18
16
16
16
0
0
0
0
17
17
0
8
8
8
0
16
1
1
24
0
8
0
16
32
20
8
1
16
0
4
16
0
8
8
16
16
16
16
16
8
8
8
61
1
16
16
2
0
0
0
0
8
8
8
8
24
26
1
0
0
0
0
18
18
0
0
0
0
0
8
16
2
5
5
12
0
8
4
0
16
16
16
16
8
8
0
0
0
0
24
56
4
2
2
2
8
40
40
0
34
8
8
0
4
4
0
0
0
16
16
0
9
9
0
0
0
0
8
8
24
8
8
0
0
12
0
0
0
16
16
16
2
0
0
0
8
8
18
2
32
0
1
32
0
8
8
8
8
0
0
2
0
8
8
16
16
8
8
0
8
8
0
0
0
2
0
0
0
0
0
16
16
0
8
8
1
0
0
0
2
0
8
0
0
8
16
8
0
16
16
17
17
17
0
0
0
8
8
8
0
8
2
1
1
0
16
0
0
0
0
0
0
4
4
4
0
0
0
0
16
0
0
0
0
0
0
16
8
8
16
2
2
0
0
0
8
0
8
8
8
2
0
0
0
8
0
0
4
0
8
8
8
10
0
0
2
0
16
0
8
0
0
8
24
24
0
4
4
0
0
28
28
0
0
0
1
1
2
0
3
0
0
5
1
1
9
0
10
0
0
16
1
1
16
0
0
0
4
0
0
8
0
0
16
0
0
0
0
1
1
1
2
16
0
8
8
4
24
24
0
0
0
1
1
0
8
0
0
0
16
16
0
4
0
2
2
0
0
16
0
0
0
0
0
32
0
0
0
8
8
8
8
16
32
0
8
0
1
24
24
0
0
0
0
0
0
24
0
0
16
16
16
0
0
8
0
0
8
8
0
0
4
32
0
0
8
8
0
0
1
0
16
16
4
0
0
0
16
16
16
16
16
0
2
8
0
0
0
0
0
0
24
24
24
0
0
0
0
56
8
2
24
24
0
35
0
0
0
8
1
0
8
8
8
8
28
8
0
0
16
0
8
0
0
16
16
0
8
16
16
0
18
0
0
0
0
0
0
8
18
18
18
18
18
16
2
2
2
1
32
0
8
16
16
0
0
1
0
8
16
16
16
16
0
8
16
8
0
18
2
0
0
0
16
16
20
16
8
8
1
1
17
8
1
4
4
0
0
0
9
2
0
20
20
8
8
0
8
0
8
8
8
0
16
0
4
4
4
4
4
0
0
0
1
0
2
0
12
0
8
0
0
16
0
0
20
16
0
2
16
1
1
1
1
8
8
8
0
9
36
41
2
16
16
0
1
1
1
0
8
8
8
0
5
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
16
0
0
0
1
16
4
8
8
0
0
8
8
8
8
2
2
2
2
2
1
1
0
16
8
2
16
24
0
16
0
0
0
12
8
8
0
8
9
16
16
0
8
0
0
4
0
0
0
9
9
8
0
3
0
0
0
0
16
0
8
8
0
0
1
0
0
0
0
0
0
0
4
0
0
0
8
0
0
0
8
8
0
0
8
48
48
0
16
2
2
4
8
8
8
6
0
0
16
16
0
0
0
4
4
16
12
0
0
16
8
0
0
0
32
4
0
0
2
0
0
16
0
0
0
9
16
16
0
16
0
0
0
0
0
0
16
8
8
8
8
8
8
0
0
0
8
16
8
8
8
0
0
8
1
0
0
0
0
0
8
8
8
20
20
24
31
0
0
56
0
16
0
32
32
0
0
16
8
8
8
8
0
0
2
2
8
16
8
8
8
2
0
0
0
32
2
0
1
8
16
16
0
16
16
16
16
16
8
0
0
0
0
8
1
16
16
16
0
0
0
0
0
0
0
1
16
16
12
4
0
0
16
16
1
0
8
0
28
0
4
0
8
0
8
0
16
8
32
8
0
16
16
35
0
8
0
8
16
16
0
0
32
0
24
0
4
16
16
0
0
0
0
0
8
8
0
0
0
0
8
8
0
1
8
8
8
8
2
0
25
25
0
8
8
8
8
17
17
0
0
0
28
16
0
0
0
0
5
0
0
8
8
8
0
0
0
10
8
8
8
8
0
0
0
0
8
8
8
0
4
0
0
16
16
16
0
8
8
8
8
16
16
16
16
0
8
16
4
0
8
8
16
0
16
16
0
16
0
0
0
0
0
16
8
16
12
12
0
0
16
0
0
0
0
8
16
8
1
0
8
18
16
1
0
0
0
0
0
8
0
8
29
29
12
0
0
0
0
0
0
0
4
0
0
25
4
4
4
16
1
0
0
1
0
8
0
16
16
10
40
16
8
4
4
4
20
20
0
0
16
0
8
8
0
0
0
8
0
8
0
0
0
0
0
0
0
0
0
8
8
12
0
0
0
0
0
0
0
0
0
0
16
1
0
0
0
2
2
0
16
16
0
0
0
2
0
0
0
12
12
16
8
8
8
8
0
0
0
2
0
0
12
0
24
0
0
0
0
0
0
0
0
13
13
0
4
0
0
0
0
0
0
0
0
0
8
0
0
2
8
16
16
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
8
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
24
24
0
1
8
0
8
16
4
4
24
24
0
34
34
34
0
0
0
0
0
24
17
0
0
0
8
0
8
0
0
0
0
0
0
0
0
0
0
16
0
8
8
0
4
1
8
8
8
0
4
4
4
0
0
0
0
0
0
0
0
0
1
0
0
2
8
8
8
8
8
8
8
16
8
8
0
4
0
0
4
4
4
4
0
0
0
0
0
32
0
0
16
0
16
8
16
0
1
1
0
0
0
0
0
0
0
0
0
0
0
8
0
0
6
2
0
0
4
0
8
0
0
0
0
0
2
2
2
0
0
0
0
16
8
0
0
0
0
0
0
0
20
20
0
0
0
0
0
0
0
8
0
0
16
0
0
0
0
0
20
20
0
0
0
0
0
0
8
0
0
8
0
1
0
0
0
0
8
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
8
4
4
4
0
0
0
0
0
2
2
0
0
0
0
0
0
0
0
1
0
24
8
10
0
0
0
0
0
4
0
8
0
0
0
16
16
0
0
0
8
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
5
8
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
8
8
8
1
1
1
0
0
12
12
12
0
0
0
0
16
0
0
0
16
16
0
0
0
0
0
8
0
0
0
2
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
8
0
8
8
8
3
3
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
16
0
0
0
0
1
1
1
1
0
0
0
0
57
57
57
57
8
2
0
16
8
0
0
0
0
25
18
0
8
8
0
24
0
0
4
4
1
0
16
16
2
16
16
12
0
8
8
0
0
0
0
0
0
0
0
0
0
8
16
0
0
4
0
2
2
0
0
0
0
8
8
0
0
0
0
4
4
0
0
0
0
0
0
0
16
16
0
0
0
0
16
0
32
0
8
0
0
0
0
0
12
12
12
12
12
0
0
0
0
0
4
0
8
0
0
1
16
4
16
16
0
0
8
16
0
0
8
8
8
8
8
8
8
8
0
0
16
0
17
8
8
8
0
0
0
20
8
0
0
8
8
4
16
16
8
8
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
8
16
16
4
0
0
4
4
0
0
0
1
1
1
0
8
0
0
0
0
0
0
0
8
8
0
0
0
0
24
24
12
0
0
8
16
16
16
16
0
0
0
0
0
0
8
8
0
16
8
8
8
8
8
8
0
24
0
0
8
8
8
0
0
0
32
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
8
8
0
0
0
0
0
2
2
0
0
0
8
0
0
0
0
18
18
0
0
8
8
0
0
16
0
0
0
43
43
0
0
40
0
0
0
0
18
25
0
0
0
1
1
20
0
16
0
0
0
0
32
0
0
0
0
8
0
0
8
0
0
8
8
0
4
4
0
8
8
8
0
8
8
8
0
0
0
16
12
0
0
0
1
0
0
8
8
8
0
0
0
0
0
0
0
0
16
16
16
0
0
0
0
25
25
0
2
2
2
16
16
0
0
0
0
0
0
0
0
0
0
20
0
0
0
0
0
12
12
4
0
0
0
0
0
32
32
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
4
0
4
0
0
0
0
0
0
0
0
0
8
0
0
0
0
24
24
0
18
0
0
0
0
8
16
4
0
0
0
16
0
0
1
1
0
16
16
0
4
0
0
8
0
8
8
0
0
0
8
0
28
28
28
28
0
8
8
8
1
1
0
0
0
0
0
0
8
0
0
0
20
20
20
0
0
0
0
0
0
0
1
1
8
0
0
0
8
0
0
0
0
16
16
0
0
0
0
16
0
0
0
8
0
0
0
1
4
0
0
0
0
0
0
0
19
19
16
16
0
0
24
0
0
0
0
0
0
4
4
4
4
0
0
2
0
0
0
0
0
0
0
16
3
0
0
0
8
8
8
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
4
8
8
0
0
2
0
0
16
16
16
16
16
16
8
0
2
2
0
16
0
1
1
0
0
0
0
0
0
0
8
0
2
16
0
8
8
8
8
0
0
0
0
36
0
0
18
16
0
0
0
0
8
0
2
0
0
0
8
0
0
0
0
16
8
4
0
2
0
0
0
0
0
2
8
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
8
0
8
0
32
8
8
8
8
0
0
0
0
0
2
0
0
0
0
0
32
32
32
0
0
0
16
16
0
0
0
4
0
16
0
16
16
0
0
4
8
8
8
0
0
8
0
0
0
32
0
1
0
0
0
8
0
0
8
25
0
0
0
20
0
0
0
0
0
0
0
0
8
0
0
0
0
8
8
0
0
16
0
0
0
0
1
0
6
6
0
0
0
0
0
0
0
0
0
16
16
16
0
0
1
0
8
0
8
16
0
0
0
0
0
0
0
0
0
4
4
4
2
2
16
0
0
0
0
16
0
0
0
2
2
0
0
16
8
16
8
0
0
0
1
1
0
8
8
8
0
0
0
0
0
0
0
10
10
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
4
4
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
32
0
0
2
0
0
8
8
0
0
0
0
8
8
8
8
8
8
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
8
8
8
2
0
0
0
0
0
0
4
16
16
0
0
0
0
0
0
8
0
0
0
0
0
0
0
5
0
2
0
0
0
16
16
0
0
0
24
8
8
0
0
0
0
1
1
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
4
4
0
9
0
0
0
0
0
0
0
16
8
8
0
16
8
8
0
16
16
0
1
0
8
12
0
0
0
0
0
2
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
8
8
8
0
16
16
16
16
16
0
17
8
8
4
4
0
0
0
16
8
8
16
16
16
16
0
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
28
0
0
16
0
0
0
0
8
8
8
0
16
0
0
0
0
0
0
8
0
0
8
8
0
0
0
0
17
0
0
0
0
0
4
0
0
0
0
1
24
32
0
0
0
0
0
0
0
0
12
12
0
0
0
0
16
0
1
0
0
0
0
0
0
0
0
16
0
0
0
0
0
22
0
0
0
0
0
0
0
0
0
0
8
0
8
8
8
0
0
0
8
0
0
0
8
4
0
0
16
8
1
1
1
0
16
0
0
8
0
8
0
0
0
32
0
1
1
0
0
4
4
2
2
2
0
0
0
0
4
4
0
0
0
0
0
0
0
8
0
0
0
48
9
0
0
16
0
0
0
0
0
0
16
0
0
0
8
8
8
0
8
8
8
8
0
0
48
48
0
24
24
0
0
0
0
16
4
16
0
16
0
0
0
41
0
0
18
0
18
4
4
4
0
16
0
0
0
4
0
0
8
17
16
16
16
0
0
8
0
4
0
0
0
0
0
0
10
10
0
0
0
0
8
0
0
8
0
16
16
16
0
16
0
0
0
0
0
0
0
3
3
0
0
0
0
0
57
57
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
4
0
0
0
8
0
0
0
8
0
0
0
0
0
0
0
1
0
2
2
0
8
16
0
0
0
0
0
0
0
24
24
24
0
8
0
0
0
0
0
0
62
62
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
12
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
8
4
0
0
0
32
16
8
0
0
0
0
0
8
8
0
0
2
8
0
0
0
0
0
0
0
0
0
0
16
0
8
8
16
16
32
4
4
4
8
8
1
1
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
16
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
32
0
0
0
0
0
0
0
0
0
0
0
9
0
0
0
0
25
0
12
12
12
0
0
0
0
22
26
16
16
0
0
0
8
0
0
8
0
0
8
0
0
8
8
8
0
0
0
8
8
8
16
0
0
1
0
0
1
0
0
8
0
0
0
0
0
8
0
8
16
16
0
0
0
0
0
0
0
0
0
0
9
0
0
8
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
1
16
2
0
16
0
0
0
0
7
7
7
58
0
0
0
0
0
12
8
8
0
16
0
24
0
0
8
8
4
0
0
0
8
8
8
0
16
0
0
0
0
0
0
0
0
8
0
0
0
0
0
18
2
0
0
0
4
4
2
8
0
0
0
0
0
0
24
24
1
0
0
0
0
8
0
0
16
0
0
2
0
8
0
0
0
36
0
0
8
8
0
4
0
8
8
8
8
8
20
20
1
0
0
0
0
0
0
0
4
0
24
24
0
8
0
0
1
1
0
0
16
4
0
0
0
0
6
0
0
8
0
0
0
0
0
0
4
0
1
0
0
17
0
0
0
0
0
0
0
0
0
0
14
4
0
0
8
16
16
0
0
2
2
0
8
0
40
0
0
0
0
0
0
0
0
0
8
8
4
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
20
9
0
0
0
17
0
8
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
4
9
9
0
8
8
0
0
4
0
0
0
0
0
0
0
0
0
17
0
8
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
2
20
20
0
8
0
0
0
0
0
0
2
6
16
2
2
8
8
0
0
8
0
0
24
8
0
16
8
0
12
16
0
0
0
16
0
0
0
0
0
0
0
4
16
0
4
4
4
4
0
0
6
0
0
0
0
0
0
16
2
0
24
0
0
0
2
0
0
0
4
0
0
0
1
8
28
24
0
0
8
8
17
0
2
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
16
8
0
4
4
0
0
4
4
0
0
0
0
0
0
0
0
16
16
0
0
0
1
16
0
0
0
0
0
16
8
0
0
0
20
0
0
0
0
16
0
16
4
4
4
0
8
0
0
0
8
0
16
0
0
0
0
0
0
0
0
0
0
42
1
1
1
1
0
16
0
0
1
16
0
0
0
0
0
16
0
1
1
0
16
16
8
0
18
18
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
4
24
8
0
12
12
12
24
24
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
8
8
0
0
0
8
0
0
28
0
0
4
18
0
0
0
48
48
16
16
0
0
0
0
2
2
0
0
0
0
16
24
0
8
0
0
8
0
16
0
0
0
0
0
0
0
0
0
0
0
0
12
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
16
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
18
0
0
0
0
0
0
16
0
0
0
0
0
0
0
8
0
24
24
2
1
0
0
0
24
24
8
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
16
8
0
0
16
16
16
4
0
1
8
32
8
20
0
0
0
0
0
0
8
8
0
3
4
4
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
2
2
1
0
0
2
0
8
0
40
4
4
0
0
1
0
0
8
1
9
25
0
0
0
8
0
0
1
1
1
0
8
8
0
4
0
16
0
16
0
8
0
0
0
8
0
4
0
16
8
0
0
0
0
0
0
0
0
0
0
4
0
16
0
0
4
0
8
0
0
0
0
32
0
0
1
1
18
18
18
18
8
0
0
0
0
0
0
0
24
8
0
0
0
0
8
8
8
0
0
0
0
0
0
4
0
0
0
0
8
0
0
16
8
4
0
0
0
0
0
8
0
4
4
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
4
8
0
0
0
0
0
12
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
16
16
4
0
0
0
0
0
0
0
0
0
0
0
0
0
17
0
0
3
6
0
0
4
4
0
32
0
0
4
0
4
4
0
0
0
0
2
0
0
0
0
0
0
0
0
17
17
0
0
0
0
0
0
0
0
4
16
0
16
16
0
16
24
24
0
0
0
0
1
0
0
24
24
0
0
4
4
6
0
0
8
1
1
0
0
0
0
0
0
0
16
4
28
0
0
0
0
16
8
0
8
8
0
16
16
0
0
8
8
8
8
8
8
0
0
0
16
0
8
0
16
8
8
0
0
8
0
32
16
5
2
2
0
8
16
0
0
0
0
0
0
8
4
21
0
0
4
0
16
9
0
0
0
0
4
4
4
4
0
0
4
0
8
8
8
0
0
4
4
0
0
4
16
16
2
2
0
8
8
8
4
6
24
0
0
16
16
16
16
16
0
0
0
0
8
8
0
4
0
0
0
8
16
16
0
8
0
8
0
0
0
24
8
2
0
0
0
0
0
8
8
0
4
0
0
0
0
8
8
8
0
0
0
0
0
0
0
20
16
16
1
16
8
16
0
32
0
0
8
0
8
0
0
16
1
16
8
16
2
0
8
9
8
8
8
8
0
8
8
8
0
8
8
8
8
0
0
12
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
8
0
0
8
8
0
0
8
1
48
0
0
0
0
0
0
0
0
0
16
10
0
0
0
0
0
1
0
8
8
0
8
0
8
2
0
8
8
8
16
0
0
4
0
0
0
1
0
0
0
0
0
0
0
8
8
8
8
0
8
0
0
0
32
0
1
0
8
4
8
0
8
8
4
4
0
12
12
12
8
8
8
0
16
0
0
8
8
8
16
0
4
8
16
16
16
16
16
16
16
16
0
0
0
0
0
0
0
8
8
28
28
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
0
0
8
8
0
4
4
25
8
1
0
8
24
0
0
0
0
16
16
0
0
0
16
16
0
1
1
1
8
9
1
0
0
0
16
0
0
0
0
8
1
1
1
1
8
8
8
0
23
8
0
4
8
0
0
0
0
0
0
4
4
0
0
0
0
0
0
0
0
2
2
41
0
0
0
0
2
8
0
0
0
0
16
16
16
0
0
8
8
8
8
8
0
0
0
0
1
1
2
0
4
4
0
4
0
0
0
0
6
0
0
0
0
16
0
0
16
0
8
4
4
0
0
0
0
0
0
0
2
0
4
0
0
0
0
0
4
0
0
0
12
8
0
0
9
16
0
0
48
0
4
4
4
4
0
8
0
0
0
0
0
8
0
2
18
18
0
0
8
8
0
0
0
0
8
8
1
8
0
0
0
0
0
0
0
0
8
4
0
0
0
0
0
0
0
8
8
4
0
0
24
16
16
0
8
0
0
0
0
0
0
0
0
0
0
50
0
0
0
0
0
0
0
8
16
16
0
6
16
4
8
16
8
0
0
0
0
16
0
0
0
8
1
0
0
0
0
0
8
17
17
0
16
0
0
2
2
16
16
0
2
1
1
1
1
0
16
0
0
1
1
0
0
1
4
8
8
0
1
0
8
8
16
10
8
8
2
0
8
16
0
0
0
0
0
0
0
0
0
0
0
4
4
0
16
1
0
16
16
16
8
8
8
0
8
0
0
5
5
0
0
0
0
16
16
4
8
16
8
4
0
8
8
2
8
1
0
8
0
0
0
0
1
1
0
0
0
0
0
0
0
20
20
4
4
16
16
0
8
0
0
0
0
60
60
60
20
20
20
20
8
16
16
4
4
0
0
16
8
8
0
0
8
32
32
32
32
12
8
16
8
0
0
0
8
0
0
0
0
16
0
0
16
16
16
0
0
0
0
0
0
0
0
4
8
8
8
0
0
0
0
0
0
18
16
16
16
0
0
1
32
32
0
0
0
0
8
8
8
8
8
8
8
2
1
0
0
0
0
8
0
0
0
0
0
8
8
8
0
0
16
16
32
0
8
8
8
0
0
0
0
0
0
0
0
0
9
16
0
8
8
0
8
0
16
0
0
0
12
0
8
16
16
16
0
8
0
8
8
0
0
8
16
0
0
0
4
2
16
0
0
0
0
8
0
0
8
16
8
0
20
16
0
0
0
18
16
16
16
0
0
0
0
16
0
0
0
16
16
0
0
0
0
0
24
0
0
8
2
2
2
2
2
16
0
0
4
4
16
16
0
0
16
0
0
4
0
0
32
14
16
16
8
0
16
0
24
2
0
20
24
24
0
0
8
8
8
0
24
0
8
8
8
0
4
0
0
0
0
9
8
8
4
2
0
0
0
0
26
26
26
0
4
8
0
0
0
0
0
2
0
0
16
0
0
0
0
1
1
1
1
1
1
1
1
1
8
8
4
4
0
0
0
16
0
0
8
0
0
0
4
0
0
0
0
16
0
0
0
0
8
8
0
8
8
8
8
8
0
0
16
16
16
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
8
8
8
12
0
0
16
2
2
8
8
0
8
4
0
4
0
16
0
0
0
0
0
0
0
0
4
2
24
8
8
0
0
0
0
18
0
0
0
32
8
0
0
0
1
1
1
8
8
8
8
8
0
0
0
0
0
0
16
16
0
0
0
0
0
0
8
8
0
8
8
8
8
0
0
0
0
2
16
8
8
0
0
8
0
8
0
16
8
8
8
0
0
0
0
0
0
0
24
0
0
0
0
0
8
16
16
60
0
0
0
8
8
0
0
0
0
8
1
1
1
0
20
0
2
8
0
0
0
0
8
8
2
2
16
0
4
8
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
0
8
0
0
0
0
0
24
24
0
1
0
0
0
0
0
1
0
16
8
32
32
0
8
8
8
0
4
4
8
0
8
0
0
8
0
8
0
0
0
1
1
4
16
8
8
8
0
8
12
0
16
16
16
4
0
8
8
0
0
0
4
4
4
8
0
22
0
24
16
16
8
0
8
0
4
0
0
24
24
0
16
0
0
4
0
0
0
0
8
0
4
4
8
16
16
16
16
16
16
16
16
2
0
4
16
16
16
16
24
2
2
2
8
8
0
0
8
8
8
0
8
0
4
2
6
1
0
0
0
0
0
0
8
8
0
0
3
16
24
12
0
8
0
0
0
16
16
16
0
0
0
24
0
0
0
0
16
0
0
0
0
0
0
0
0
0
4
0
0
0
8
0
16
16
0
8
24
8
8
8
0
0
0
4
0
4
8
0
0
4
4
0
0
52
16
8
8
17
8
0
16
0
0
0
0
0
0
0
0
8
0
1
8
1
0
0
0
0
0
0
0
16
32
0
0
0
0
8
4
0
8
8
24
0
0
50
0
0
24
24
0
0
0
0
0
24
0
0
0
0
0
0
0
0
4
8
0
8
4
4
1
1
1
32
0
0
8
1
25
4
4
24
0
0
0
0
0
0
0
1
4
4
4
16
8
32
32
16
16
9
32
20
20
0
0
0
0
0
12
12
4
4
0
0
0
0
0
16
0
8
8
8
0
0
16
16
16
0
0
0
1
0
4
4
1
16
0
0
15
0
0
8
0
0
0
0
0
8
4
4
8
0
0
0
0
0
8
0
8
16
32
0
8
8
8
16
0
0
0
8
8
8
0
0
0
0
8
2
8
0
0
0
1
0
8
8
8
16
0
0
0
0
2
8
0
8
8
8
0
4
8
8
8
0
0
40
32
16
0
16
8
8
0
0
8
24
1
1
8
8
0
24
0
0
4
8
32
16
0
0
0
0
14
4
0
0
0
1
0
0
0
8
0
8
8
0
0
16
28
8
8
0
0
16
0
0
16
0
0
4
4
12
12
12
0
0
8
0
0
0
0
0
0
1
1
5
16
0
18
18
18
0
16
16
1
1
1
0
0
0
8
33
0
0
0
0
20
8
0
0
0
0
0
0
0
0
24
0
8
8
8
8
8
8
8
8
0
52
4
8
8
8
0
0
16
8
8
0
0
0
0
0
16
0
8
8
4
4
8
26
0
0
0
0
0
0
18
16
16
0
0
0
0
32
0
0
0
0
4
0
0
0
0
0
0
16
8
0
0
0
0
0
4
0
0
8
8
4
4
0
8
8
0
16
16
16
8
8
8
8
40
16
0
0
0
24
2
16
1
1
0
1
1
1
8
2
8
0
1
1
0
8
0
0
0
0
17
0
0
0
0
0
0
0
0
8
8
8
8
8
8
0
16
16
8
4
4
0
0
8
0
0
8
8
8
16
0
0
0
2
8
8
16
16
0
0
0
0
1
1
8
12
16
8
17
16
0
0
0
8
16
4
0
8
8
8
0
0
0
8
0
0
0
0
0
1
16
8
4
4
8
8
0
0
0
0
0
0
2
16
2
0
0
0
0
0
0
0
32
0
0
0
8
0
8
0
0
0
0
0
16
16
0
1
0
0
0
8
0
0
0
0
18
0
0
0
5
5
12
0
2
16
0
0
0
0
0
0
32
32
2
0
0
2
2
16
2
8
1
1
0
0
0
0
8
1
1
1
8
0
4
8
8
0
16
16
24
1
16
2
0
8
8
0
0
0
0
0
0
0
0
0
4
8
8
8
0
12
8
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
24
0
16
0
0
0
0
0
32
32
8
8
2
2
2
2
16
8
8
8
8
16
16
0
16
16
16
0
0
1
0
0
0
24
16
16
16
16
16
16
0
0
0
8
8
0
0
0
0
0
0
8
8
8
4
0
0
0
0
0
8
0
0
2
18
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
4
16
4
2
2
16
16
16
17
17
17
8
8
8
8
8
8
0
0
24
0
8
16
0
0
0
0
32
32
0
0
0
0
8
16
16
8
0
0
3
0
0
0
9
8
1
1
8
0
4
4
4
0
0
16
24
0
0
0
0
0
8
8
0
0
0
0
4
0
0
0
16
0
16
8
0
0
8
19
2
16
0
0
2
2
2
16
8
56
0
0
4
4
8
8
8
8
0
0
0
8
16
0
0
8
1
16
0
16
16
0
0
8
2
0
0
0
0
0
0
0
0
0
8
8
0
0
0
21
21
0
8
8
8
8
8
16
0
2
2
9
4
8
4
0
0
8
16
16
0
0
2
24
24
0
32
32
0
0
0
0
16
8
0
24
16
0
0
0
0
8
0
0
8
16
2
2
17
0
0
24
8
32
16
16
0
0
0
8
8
0
0
0
0
0
0
16
8
8
8
9
16
16
2
2
8
2
0
0
0
4
16
0
0
0
8
0
0
8
0
0
0
8
8
8
8
0
0
8
8
8
0
4
0
0
0
0
32
24
1
1
8
8
8
16
24
4
4
8
0
0
1
0
0
0
0
16
32
0
0
0
22
22
0
0
2
0
16
16
0
0
2
0
0
0
8
16
8
0
0
0
0
0
0
0
8
0
0
0
0
1
0
8
6
0
0
18
1
1
16
0
2
0
0
0
16
0
8
16
16
4
8
8
0
0
0
16
16
16
16
8
8
8
0
0
11
0
0
8
0
0
0
4
8
8
8
0
16
0
0
0
16
16
0
0
0
0
8
8
0
16
0
6
0
0
0
8
8
8
0
16
0
0
1
1
1
0
0
0
0
0
4
0
8
8
0
0
1
1
1
1
8
36
24
16
17
8
0
0
16
8
8
16
0
0
0
0
0
0
0
0
0
0
8
8
0
8
8
8
8
40
8
0
0
0
0
0
0
24
0
1
0
0
1
1
16
16
16
16
8
0
0
0
8
0
0
0
4
5
0
0
32
1
0
0
0
0
16
16
0
24
17
0
0
0
0
0
0
0
0
0
1
4
0
12
0
0
0
8
0
16
16
1
0
16
16
0
9
0
0
48
0
0
0
0
0
0
27
16
16
21
0
0
8
2
2
8
0
16
24
0
16
0
12
8
8
8
8
0
9
9
8
0
4
0
0
0
8
8
34
16
16
16
16
16
0
2
0
0
8
4
32
8
0
0
0
0
0
0
1
1
18
18
0
13
13
16
16
0
0
0
0
0
0
0
8
8
0
2
2
0
0
0
8
0
0
8
8
0
0
16
8
0
8
8
0
16
16
4
0
13
16
24
0
16
2
0
0
0
20
0
24
0
2
2
8
8
0
0
8
8
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
16
0
0
0
0
16
0
0
0
0
16
16
0
0
0
16
0
0
0
0
0
0
24
2
0
8
8
8
8
8
8
8
8
8
8
8
8
9
0
0
0
0
0
0
16
0
16
28
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
40
40
0
1
0
1
0
0
2
10
2
0
0
8
0
0
0
0
16
16
16
0
8
8
8
0
4
4
8
0
0
0
0
0
0
8
8
0
8
8
16
0
0
0
16
16
0
0
0
8
8
0
16
4
4
1
1
0
16
0
0
0
8
0
0
0
2
0
0
0
0
0
0
24
0
0
0
8
0
0
0
16
4
4
0
0
0
0
8
16
0
16
0
0
12
12
8
8
16
0
0
0
0
0
2
8
8
0
0
0
0
0
0
8
0
0
0
8
0
0
8
0
0
0
0
1
0
0
12
12
0
8
8
0
16
16
0
0
0
0
2
0
17
8
8
0
0
0
0
0
0
0
0
0
0
0
8
17
17
17
17
1
4
0
8
1
0
8
8
8
0
8
0
12
0
0
0
8
8
0
1
4
1
16
0
0
8
0
0
1
1
1
12
12
0
0
0
0
8
0
0
0
25
17
0
0
8
8
8
8
16
16
16
16
16
16
0
1
0
8
0
8
8
2
8
10
8
16
0
0
0
16
0
8
1
1
8
8
8
16
16
0
0
0
0
12
8
8
8
24
0
0
0
0
0
0
0
0
0
0
2
16
16
8
1
1
0
8
0
8
0
0
1
8
8
16
1
0
8
0
0
0
0
0
0
0
0
20
20
0
1
16
16
0
0
0
4
4
0
0
0
0
0
8
8
0
0
0
0
0
0
16
0
0
0
0
24
0
0
0
0
1
0
0
0
16
0
0
0
0
0
0
16
16
0
0
8
16
0
8
0
0
0
0
0
0
2
2
2
0
4
4
8
0
0
16
16
16
0
8
8
8
16
16
2
0
0
0
0
0
16
0
8
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
8
0
0
1
0
0
0
0
24
0
8
16
0
0
0
1
1
1
20
12
0
16
17
17
16
0
0
0
1
1
1
49
49
49
4
16
0
16
16
16
0
0
4
2
2
8
0
0
8
0
0
0
4
4
0
0
0
16
16
0
0
0
16
0
0
0
0
0
0
0
0
0
0
20
8
10
0
0
0
0
0
0
0
8
4
16
0
0
0
8
8
8
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
16
8
8
8
0
0
1
1
0
16
0
0
16
16
16
16
16
16
16
16
16
1
4
4
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
13
0
8
8
0
0
8
0
16
8
0
32
0
0
4
0
8
0
0
12
4
0
0
0
0
8
4
8
0
16
16
8
0
0
0
0
16
0
0
0
0
32
4
4
4
3
2
0
4
4
4
0
4
0
0
0
0
0
0
0
0
8
10
40
40
40
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
17
17
17
17
0
0
0
0
2
16
0
0
26
26
24
0
0
0
0
0
2
12
0
0
0
18
16
16
0
0
8
8
1
8
0
8
0
0
8
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
2
2
8
8
8
0
0
8
0
9
9
17
2
40
0
0
4
0
1
24
0
8
8
0
1
0
0
0
0
1
0
0
0
4
8
16
0
8
8
0
0
0
10
0
0
4
0
0
0
16
0
0
0
0
0
0
0
0
0
0
4
0
0
0
8
8
0
16
8
0
0
16
16
4
0
0
16
0
0
0
24
8
0
0
1
16
0
0
0
0
6
6
2
2
2
0
0
8
8
0
0
0
0
8
0
8
8
8
0
0
9
0
8
0
0
0
16
16
0
0
4
16
0
0
0
0
0
0
0
0
0
0
0
4
4
0
0
0
0
0
0
2
2
16
0
0
0
16
0
4
0
0
16
0
0
8
1
0
16
0
0
8
0
40
40
18
16
0
0
4
0
0
0
0
0
4
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
16
16
0
0
4
0
0
8
8
0
1
1
1
0
0
20
16
0
0
8
8
0
8
8
1
0
0
0
0
2
0
0
8
0
8
0
0
0
0
0
16
0
4
4
0
0
0
0
0
0
0
8
16
2
2
0
0
0
0
16
0
1
8
8
0
0
0
16
0
0
0
0
0
0
24
24
0
0
8
0
0
0
0
0
0
0
0
16
16
8
4
16
0
0
0
0
0
0
0
9
9
0
0
0
0
0
0
0
0
0
14
0
8
8
0
16
0
20
0
0
8
0
16
16
0
0
0
16
8
0
0
32
0
0
0
0
0
16
2
0
16
16
0
0
0
0
24
24
16
0
0
0
0
0
0
0
1
0
0
1
1
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
8
0
0
0
0
0
0
32
8
0
0
0
26
0
4
0
16
0
0
0
0
0
0
8
0
24
0
0
4
8
0
0
0
0
0
0
0
23
0
0
1
0
0
0
0
0
0
0
16
16
16
1
16
0
8
0
0
0
0
8
16
16
16
16
1
16
16
2
0
0
0
0
1
1
1
16
0
0
0
0
1
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
16
0
0
0
0
0
0
0
0
0
4
0
32
0
0
24
8
0
2
0
0
2
8
0
0
1
1
8
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
24
0
16
2
2
0
0
0
4
4
8
0
0
0
0
8
8
8
0
0
0
8
8
0
0
0
8
4
0
17
0
16
8
0
0
0
0
0
8
0
0
16
0
0
2
2
2
0
6
0
0
8
8
0
0
0
0
16
0
8
0
8
1
0
8
1
17
0
0
0
0
0
12
8
8
8
8
8
25
0
0
0
1
0
0
0
0
0
0
0
0
25
0
8
0
8
8
8
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
16
20
0
0
12
24
14
0
0
1
0
0
0
4
0
0
0
0
0
0
0
20
16
0
8
8
0
0
0
0
0
0
0
0
0
0
0
4
2
0
0
8
8
0
0
0
0
0
0
0
16
16
0
26
0
0
0
0
0
0
8
0
0
6
8
0
0
0
0
0
4
0
0
0
0
0
0
16
8
8
8
0
0
0
0
0
0
0
0
0
0
24
24
40
8
8
0
0
4
4
0
2
0
0
0
0
4
0
0
1
0
16
1
0
9
9
16
0
16
0
0
0
0
0
8
8
0
0
8
16
8
8
2
16
1
0
0
0
0
24
0
0
1
1
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
17
0
0
2
0
0
8
16
16
16
0
0
0
16
0
0
0
0
0
0
8
0
0
16
0
0
0
0
0
0
0
0
32
32
0
8
4
4
4
4
16
0
0
8
0
8
8
0
0
16
4
0
0
16
2
17
17
0
0
0
0
0
0
0
0
16
0
0
8
0
0
0
0
0
8
0
0
0
0
0
0
6
16
2
0
25
8
8
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
16
16
0
0
0
0
0
2
2
0
0
8
0
8
0
8
0
8
8
8
8
8
8
16
16
0
0
0
0
0
0
0
2
0
0
0
1
0
0
0
1
8
0
0
0
16
0
0
16
0
0
4
6
4
16
0
0
0
0
8
8
8
8
8
8
0
0
0
0
16
0
0
0
0
1
0
0
16
48
0
8
0
0
0
16
16
0
0
0
0
24
0
0
0
0
0
8
0
0
0
0
0
0
0
8
8
0
0
0
16
0
8
0
8
0
0
0
8
0
0
0
16
0
0
16
17
0
6
0
0
0
4
4
16
16
0
1
16
8
16
16
8
0
0
0
13
0
16
16
0
0
0
0
2
16
0
0
0
0
8
4
0
0
0
0
0
0
16
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
1
2
22
2
26
0
0
0
0
0
0
0
8
4
0
0
0
0
8
4
0
0
0
0
0
8
0
16
16
0
8
8
0
8
8
0
0
1
8
32
32
0
0
0
4
16
16
0
8
0
1
1
0
0
8
8
0
16
0
0
8
20
8
0
16
8
8
0
8
8
8
8
8
8
0
0
8
0
8
8
0
0
8
0
16
16
4
0
0
0
0
0
0
40
2
0
0
0
0
0
8
16
0
0
24
24
24
0
8
0
0
0
0
0
1
1
8
4
4
8
0
0
0
9
0
2
2
28
0
8
8
1
0
0
8
0
0
0
0
0
0
0
0
0
4
8
0
16
0
16
0
0
0
0
0
0
8
0
16
0
8
0
0
0
4
16
0
0
0
0
4
0
0
0
0
0
1
2
0
0
0
57
57
0
0
4
4
0
0
0
4
4
0
0
0
17
1
1
1
0
0
0
0
2
0
0
0
0
0
24
0
8
8
8
8
0
4
4
8
16
16
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
2
2
4
8
4
4
0
0
16
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
17
0
24
16
0
0
0
0
16
0
0
20
20
2
0
0
8
0
8
8
8
8
16
16
0
0
0
0
8
8
8
0
0
0
10
0
0
0
8
16
12
12
12
17
0
0
0
0
16
16
0
0
3
1
0
16
8
16
0
4
4
4
0
16
16
16
16
16
0
8
0
16
0
0
17
0
0
0
2
0
0
0
8
16
0
0
0
0
0
0
0
0
0
0
0
16
16
0
8
0
0
8
1
0
0
0
0
0
0
16
0
0
0
0
0
0
0
2
16
0
0
0
8
0
2
16
8
0
0
0
8
0
13
8
8
0
8
20
8
8
8
0
0
0
0
8
16
16
16
0
0
16
20
20
0
0
0
0
0
0
0
8
0
12
12
8
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
16
0
0
8
8
0
0
0
0
0
0
0
0
41
41
1
16
0
0
0
4
4
0
0
0
0
0
0
8
16
8
8
0
0
0
8
8
0
0
8
8
0
0
8
0
0
8
8
0
0
0
0
4
0
0
0
0
0
0
0
0
4
5
16
8
24
24
0
24
24
0
0
0
0
0
2
2
8
8
8
8
24
24
2
0
0
0
0
1
4
0
16
0
0
20
1
0
0
0
0
16
0
0
10
10
8
8
0
0
0
16
0
0
0
0
8
0
0
0
8
8
0
0
0
8
8
16
0
0
0
1
8
0
0
16
0
16
0
0
0
42
42
0
0
16
8
14
0
0
0
0
4
3
0
0
2
2
8
24
0
0
0
0
8
8
8
8
0
0
0
0
32
0
16
0
1
0
0
0
8
1
1
8
0
0
0
0
8
8
8
1
1
0
0
0
54
0
0
8
1
0
0
0
16
0
0
0
0
8
8
24
24
12
0
0
16
0
8
8
0
0
4
5
1
1
0
0
8
0
16
0
0
0
0
4
0
16
16
8
8
4
4
0
0
0
0
2
2
0
0
8
0
8
8
24
24
0
0
0
0
0
0
0
0
16
16
8
8
0
0
1
4
0
0
0
18
16
4
16
0
8
0
8
0
4
8
0
3
0
12
0
0
4
0
8
4
4
16
0
0
0
50
16
16
0
0
0
8
0
16
0
2
8
16
16
0
0
0
0
0
0
0
1
0
16
18
8
0
0
8
8
0
0
0
4
0
0
8
8
16
0
0
0
0
0
8
0
0
0
0
8
8
0
0
0
0
0
0
4
0
0
0
14
12
8
8
0
0
0
25
20
8
8
0
0
0
4
4
4
24
24
0
0
4
4
8
0
0
2
0
0
0
16
0
0
0
8
8
8
0
0
0
1
4
4
4
16
16
4
8
0
0
0
8
0
4
0
0
0
0
0
0
0
0
8
0
0
32
32
4
6
4
1
0
0
0
8
16
0
0
0
32
0
0
8
16
8
10
0
0
0
0
1
32
0
8
18
24
8
0
0
0
0
0
0
10
10
10
0
0
8
0
0
0
0
0
0
0
0
2
2
2
8
0
8
16
8
2
8
1
0
0
4
20
0
0
1
0
1
0
2
0
0
4
4
8
1
1
0
1
1
1
8
4
4
4
4
4
4
16
8
0
0
0
1
1
0
0
0
8
0
0
1
0
0
0
0
0
0
8
0
0
9
0
0
4
0
4
4
4
0
16
8
4
0
0
24
16
16
16
8
0
16
32
32
0
0
0
8
0
0
0
0
0
0
0
8
0
2
8
0
0
4
4
0
0
0
0
0
4
4
0
0
0
0
0
16
16
8
20
20
20
8
4
4
4
16
16
16
16
40
8
4
0
0
13
13
1
1
4
0
32
0
16
16
0
16
0
16
0
0
2
2
0
16
8
2
8
8
0
0
0
0
0
0
32
32
8
8
8
0
8
0
0
0
0
0
0
0
0
0
2
2
0
1
1
16
0
8
0
0
0
16
8
8
0
8
8
0
0
8
1
1
1
1
4
0
0
0
0
0
0
8
16
8
8
8
20
20
0
0
0
0
16
16
16
16
0
0
0
0
0
2
0
24
24
0
0
2
24
8
0
16
8
16
16
0
0
8
16
16
16
16
0
8
0
16
0
1
1
1
8
32
18
18
0
1
0
0
0
0
0
0
0
0
0
16
4
0
8
16
16
16
0
8
0
0
4
4
16
17
0
0
0
0
0
1
0
0
8
8
1
1
8
0
0
2
0
16
0
0
0
8
0
0
0
8
0
0
0
2
2
8
8
0
0
0
0
0
0
0
0
0
0
0
16
2
8
16
0
0
0
4
4
4
4
8
8
8
4
4
8
8
8
0
0
0
40
40
40
6
6
6
0
12
0
0
0
8
1
0
0
0
16
24
16
10
0
16
16
16
16
0
0
0
0
0
16
8
28
2
8
8
8
0
0
4
4
8
0
8
8
8
24
0
0
2
16
16
0
8
8
0
8
8
8
8
0
10
8
8
8
0
0
0
2
2
0
0
0
9
8
0
0
0
1
8
0
8
0
8
8
0
8
0
17
0
8
0
32
0
0
0
0
16
16
16
16
0
20
1
4
4
0
8
0
17
0
0
0
0
0
0
0
0
4
2
0
60
60
8
16
0
22
0
8
4
16
4
4
4
4
8
8
8
0
0
0
1
0
0
4
8
0
0
0
28
9
1
8
0
0
8
3
0
0
0
0
0
2
2
0
20
8
5
0
8
0
0
0
2
0
2
2
2
0
0
24
0
0
0
8
8
0
8
8
56
0
16
16
8
28
0
48
16
0
0
8
4
0
4
0
8
16
16
16
16
0
0
0
16
0
0
8
8
8
16
0
16
0
0
8
1
1
4
0
0
0
8
8
16
16
16
2
0
8
8
8
8
8
0
1
0
0
10
10
16
16
16
0
8
2
2
0
8
16
24
16
0
1
0
4
4
4
4
4
4
4
0
18
2
0
8
32
32
20
16
16
0
0
1
12
8
1
0
20
0
0
8
0
0
50
50
8
16
0
8
12
12
8
1
16
16
16
0
0
16
16
0
8
8
16
16
16
16
0
0
0
2
2
8
18
4
8
8
32
0
0
25
0
0
8
8
0
0
8
8
16
0
0
8
0
4
2
0
16
4
4
0
0
0
0
0
16
0
8
0
0
0
16
16
16
10
8
8
0
0
0
0
0
0
0
0
2
0
4
4
4
8
8
8
8
8
8
8
8
8
2
56
16
0
16
0
0
0
0
0
0
16
8
8
2
1
9
16
24
8
8
10
16
8
1
0
8
8
8
8
8
8
8
8
16
16
8
1
1
0
24
8
0
8
24
4
0
0
0
8
8
8
8
0
8
0
0
0
0
4
4
4
0
8
0
0
0
0
0
16
0
0
0
4
0
0
0
0
16
16
16
0
4
8
0
0
2
8
8
8
0
0
0
0
8
0
0
0
2
16
16
8
2
0
0
0
0
0
0
12
16
0
0
0
0
0
0
16
48
48
0
0
16
16
8
8
8
16
2
2
0
0
0
0
8
8
16
16
8
2
4
1
0
0
0
0
17
0
0
0
8
16
0
0
0
0
0
0
8
8
2
0
0
0
0
8
8
8
8
0
0
0
0
0
0
0
0
0
0
4
8
16
0
0
16
16
16
8
0
8
8
18
0
0
8
16
16
0
0
0
1
4
4
0
0
4
12
24
8
0
0
0
16
0
8
2
2
16
0
0
0
0
4
4
2
16
0
0
8
8
0
0
0
0
0
1
0
0
16
16
0
0
0
8
0
0
0
17
4
0
0
0
0
4
4
0
0
8
8
8
16
16
16
16
0
0
0
0
8
8
8
8
0
0
24
9
0
0
0
1
2
0
17
0
0
0
0
8
0
0
0
0
16
8
8
8
8
0
0
0
16
16
0
0
16
16
8
0
1
16
0
16
0
12
12
0
0
0
0
0
0
24
24
1
8
8
8
0
0
4
4
0
0
0
8
16
16
16
2
4
0
0
0
8
4
16
16
0
8
0
8
8
0
0
16
16
16
16
16
10
10
16
8
8
4
4
1
8
0
2
0
16
8
8
4
14
14
0
0
0
8
8
0
0
0
16
16
4
26
8
8
0
2
2
0
8
0
0
16
16
16
4
1
1
4
0
17
16
0
0
0
0
0
8
8
0
0
0
2
24
0
17
18
18
1
0
0
8
8
8
0
8
0
0
0
0
0
0
0
0
0
4
10
10
0
0
0
0
8
11
24
8
8
8
8
0
0
4
4
0
0
0
0
0
8
1
1
8
1
8
8
8
8
0
0
0
0
2
8
4
8
8
8
8
0
8
32
0
2
2
16
0
0
0
0
0
0
8
8
0
0
0
16
0
0
8
0
8
0
0
20
20
20
3
0
0
0
8
32
0
2
0
8
8
2
0
0
10
8
8
0
0
1
24
28
24
24
0
4
8
8
0
8
8
8
4
4
0
0
0
0
0
0
0
0
0
1
0
32
0
0
0
1
1
0
0
0
0
0
16
16
16
20
20
0
0
16
16
16
8
0
0
0
0
0
0
36
0
0
16
1
16
8
8
8
0
8
0
8
0
0
8
8
24
16
57
8
8
8
8
8
16
8
16
1
1
1
22
22
8
0
18
8
8
1
4
0
0
16
8
1
1
0
2
0
0
0
8
16
0
0
1
1
0
0
0
0
8
0
0
0
4
0
0
0
0
8
4
4
4
4
0
0
8
8
8
8
16
0
24
16
0
0
0
32
32
32
32
0
0
0
0
8
0
1
10
8
0
0
16
16
16
16
0
0
16
0
9
0
0
8
8
0
0
0
0
0
0
32
4
16
25
25
25
4
8
0
0
16
16
16
1
1
8
24
24
8
16
0
16
16
0
1
8
8
8
0
0
1
1
1
1
8
0
16
0
0
0
0
0
0
8
4
0
9
0
0
1
1
16
16
16
0
16
0
0
0
0
0
0
0
8
8
8
0
16
16
0
0
0
16
0
0
0
8
4
4
0
8
0
0
8
0
8
8
8
16
0
0
0
16
16
0
0
0
0
2
0
0
0
16
11
11
8
8
8
8
8
0
16
0
0
0
8
8
8
0
0
0
0
0
0
4
4
0
4
0
0
8
0
0
8
8
1
0
0
16
0
0
4
32
32
32
0
4
0
1
1
0
0
0
0
0
0
0
0
0
2
8
0
0
1
24
0
0
0
0
4
4
4
4
0
0
0
0
8
8
8
4
24
8
0
0
0
0
4
4
53
13
8
8
0
8
22
0
0
0
0
0
1
0
0
0
0
16
8
4
16
8
8
0
16
0
8
0
0
0
0
0
0
8
8
0
8
0
0
0
0
0
12
16
6
2
8
0
12
8
8
8
4
0
0
0
0
0
0
0
0
0
8
0
0
0
0
1
0
0
0
0
0
8
0
9
1
16
0
0
0
0
0
0
8
16
8
0
2
8
8
0
0
16
16
8
16
0
0
8
8
4
4
16
16
0
16
2
16
0
0
18
4
16
0
0
8
0
0
0
8
8
8
0
0
0
0
0
0
24
24
24
0
1
0
8
0
0
1
16
16
0
7
7
24
16
10
0
0
0
0
8
0
16
8
0
0
0
0
0
8
0
0
1
1
8
0
8
8
8
0
16
0
16
2
9
9
11
16
16
8
32
32
0
0
0
0
0
1
0
20
22
0
0
2
2
10
1
1
1
0
8
8
24
24
8
0
2
8
5
5
5
0
11
11
8
18
24
24
8
8
8
8
1
4
0
8
16
0
0
0
0
0
59
59
0
0
1
0
0
0
0
16
16
16
2
0
8
18
18
0
0
0
0
0
16
16
16
0
16
0
8
0
0
0
4
0
0
0
0
0
8
8
1
0
8
1
0
16
16
25
0
24
0
0
0
8
8
8
0
16
16
8
0
4
0
0
0
16
0
8
16
16
16
0
16
16
16
16
16
16
4
12
0
0
0
0
0
2
0
0
0
0
0
0
24
16
16
0
0
8
0
0
8
8
8
1
1
16
8
0
1
0
0
1
8
0
0
0
2
0
2
0
0
32
8
8
8
0
0
4
4
8
4
4
1
0
8
16
8
0
2
0
0
0
0
8
8
8
4
0
1
8
0
4
2
3
2
2
8
4
0
8
4
4
4
0
4
24
20
0
0
0
24
16
0
28
0
0
0
0
8
8
0
16
16
16
0
4
1
0
8
8
8
8
1
10
8
8
0
30
30
8
0
1
1
0
0
0
0
0
0
18
14
0
0
0
0
0
16
0
0
0
8
8
8
0
12
12
12
24
40
0
0
16
0
0
0
0
0
0
24
0
0
8
8
4
4
4
0
16
20
0
4
0
0
0
0
0
0
1
0
0
4
0
0
0
0
0
4
0
2
0
0
0
18
8
24
1
1
12
0
0
24
0
8
16
16
16
0
0
1
0
4
8
0
0
0
0
0
0
0
0
7
0
16
0
0
0
0
0
0
0
8
8
8
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
8
0
0
16
0
8
8
16
0
0
0
0
0
0
8
8
8
0
18
0
0
0
0
16
24
0
16
16
16
0
0
0
8
0
0
0
0
1
0
1
1
1
0
0
1
16
16
0
2
0
0
0
0
0
0
0
0
2
20
16
0
0
0
0
16
16
0
0
0
0
0
26
0
0
8
8
24
24
24
24
24
0
0
8
8
8
0
0
24
0
0
4
0
0
8
0
0
16
16
0
0
0
0
0
0
0
0
0
0
2
16
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
37
37
32
32
32
24
20
8
0
0
0
0
16
0
0
0
8
0
0
0
0
0
16
0
16
0
0
0
16
0
0
2
8
0
0
2
2
0
0
0
0
0
0
8
8
0
16
0
0
0
0
0
0
0
0
0
16
32
32
32
0
16
0
0
0
0
0
0
0
0
22
22
0
0
16
16
0
0
0
0
0
0
0
0
4
0
0
8
8
0
0
0
0
0
0
8
0
0
1
0
8
24
0
16
0
0
0
20
20
20
0
0
0
8
8
8
8
0
0
0
0
16
4
0
0
0
8
0
0
0
0
8
8
0
0
1
1
10
0
0
0
0
8
16
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
8
4
8
17
0
16
16
0
0
16
16
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
8
0
0
8
0
0
0
0
0
8
0
0
0
0
0
0
4
0
1
0
0
0
0
0
1
1
0
8
0
8
0
0
0
0
0
4
0
0
0
8
8
8
0
0
2
16
16
8
0
0
0
0
0
8
0
0
0
0
0
8
0
0
0
0
0
0
5
0
8
6
0
56
8
16
16
16
0
0
4
0
0
8
0
8
2
2
2
2
0
0
16
0
16
16
0
16
8
0
0
0
16
0
0
6
6
16
0
0
0
0
0
0
0
0
0
0
4
0
0
8
8
8
0
0
0
16
0
0
0
0
0
0
0
0
0
0
2
0
9
0
0
0
0
0
0
0
0
0
0
8
8
0
8
8
8
48
48
0
0
16
16
16
0
8
2
0
0
0
0
0
0
0
0
8
0
0
16
0
0
0
28
0
4
4
0
0
0
24
24
0
0
1
16
1
0
0
0
0
0
0
0
0
0
0
0
0
8
0
12
12
12
33
33
33
0
0
0
0
0
4
0
0
0
0
0
8
0
0
1
0
0
8
8
0
0
0
0
0
0
0
8
16
0
8
8
0
8
8
0
0
8
8
8
8
8
16
4
4
0
2
0
0
0
0
0
0
0
0
0
0
12
0
0
0
0
0
0
0
0
4
16
0
0
8
0
6
0
0
0
8
32
18
0
0
0
0
0
0
0
16
0
16
0
0
0
0
0
0
0
8
0
0
0
0
0
20
16
12
12
0
0
0
0
0
0
0
0
0
0
1
2
0
0
0
8
8
0
0
0
0
0
0
0
4
8
4
0
0
0
0
16
0
0
0
0
0
0
0
0
16
0
0
0
0
8
0
2
0
4
0
0
0
1
1
0
8
0
0
0
0
0
0
0
0
0
0
0
24
1
0
0
0
0
24
24
24
4
0
0
4
0
0
0
0
0
0
0
0
0
24
24
0
0
5
0
8
0
0
0
8
8
8
16
0
0
0
0
0
4
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
8
0
0
0
0
0
0
0
0
6
0
12
0
24
16
17
0
8
0
8
8
0
0
0
0
0
0
0
0
0
0
8
0
8
8
0
0
0
0
0
0
0
0
0
16
0
2
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
16
0
0
0
0
0
0
4
4
4
4
4
4
0
0
0
0
0
0
0
0
8
8
8
16
16
0
0
0
0
0
8
0
0
0
0
0
16
0
0
0
0
0
0
4
4
16
0
0
0
0
0
0
0
0
0
0
16
16
0
16
16
0
0
0
0
0
0
24
24
8
0
0
16
0
0
0
0
0
0
4
4
0
0
16
8
0
0
4
8
8
2
4
8
8
0
0
0
0
16
2
8
8
8
0
24
0
0
0
0
60
60
0
11
32
0
0
0
22
0
16
8
8
8
0
0
0
10
10
2
2
0
4
0
0
0
0
0
0
0
0
0
0
2
2
0
0
0
0
0
0
16
8
8
8
0
0
0
0
0
0
0
0
0
0
59
0
0
0
0
0
0
0
16
4
8
8
0
48
8
0
0
0
4
0
0
0
0
0
8
8
8
0
0
4
8
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
0
4
0
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
16
8
1
1
1
1
0
8
8
8
8
0
4
0
0
0
0
0
0
0
0
8
0
8
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
4
4
16
16
6
0
24
8
2
0
0
0
0
8
0
0
0
0
0
0
0
0
0
21
16
16
0
0
0
0
2
2
2
0
0
8
8
0
0
2
0
0
0
4
2
2
0
8
8
0
0
0
0
0
0
0
0
2
0
8
0
0
16
16
0
0
0
0
16
17
17
8
0
17
0
0
0
16
0
60
0
0
0
0
0
0
0
0
0
16
0
0
8
8
8
4
0
0
0
0
20
20
16
0
8
8
0
0
1
0
0
1
16
0
0
0
0
0
8
8
0
0
16
1
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
4
0
0
1
8
0
0
8
18
18
18
18
18
18
18
18
18
4
19
19
0
0
0
8
8
2
16
16
0
46
0
0
0
0
0
0
16
16
16
0
0
24
1
0
0
8
0
0
0
4
0
0
0
0
0
0
8
32
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
16
0
0
0
4
2
0
0
0
0
1
0
0
40
0
0
0
16
8
8
0
0
0
0
0
0
0
2
2
0
0
0
0
16
0
0
12
12
12
3
0
1
0
0
8
0
16
16
0
1
1
1
0
2
2
0
16
8
0
0
0
0
1
1
8
4
4
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
2
4
4
4
8
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
4
0
16
16
0
0
2
0
0
8
0
38
0
0
0
8
0
0
0
0
1
0
0
0
0
16
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
8
8
8
24
0
0
0
0
0
0
0
0
8
0
8
0
0
0
0
0
0
0
16
0
0
24
0
32
8
0
0
0
8
10
0
16
0
0
0
4
0
0
0
0
0
2
2
0
0
0
16
0
0
0
0
0
8
0
8
0
8
8
0
16
8
8
0
2
2
1
0
0
0
1
1
0
8
8
0
0
0
8
8
8
8
4
0
16
0
0
8
0
0
4
4
0
0
0
0
0
4
4
4
8
8
0
0
12
8
0
0
8
8
0
0
0
0
0
9
9
0
0
16
22
22
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
1
16
0
0
20
0
1
0
0
0
0
8
8
0
0
0
0
0
0
0
32
0
0
0
8
0
0
0
0
8
5
0
0
0
0
0
0
0
0
0
0
2
0
32
32
8
8
8
0
0
0
0
0
0
0
16
16
16
16
0
0
0
0
0
8
8
8
0
8
0
0
0
32
0
0
0
16
5
0
0
0
0
0
19
32
0
0
16
0
0
0
0
0
1
1
8
0
0
0
0
0
16
16
16
16
16
0
0
0
2
2
0
0
0
0
0
0
1
0
0
0
0
0
0
0
16
16
0
0
8
0
16
16
0
0
1
0
0
0
8
8
8
0
0
0
8
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
8
0
0
0
0
0
8
0
0
0
0
0
0
24
24
24
24
0
1
0
0
0
0
0
0
0
0
0
5
16
0
0
0
8
0
0
16
2
26
4
24
12
0
16
0
0
24
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
8
0
0
0
0
16
16
0
0
0
0
8
0
0
0
0
0
0
0
0
0
10
10
0
0
16
0
0
0
0
0
0
16
0
0
0
0
8
8
2
0
0
8
8
8
0
0
0
0
16
16
4
0
0
0
8
8
0
8
8
0
0
0
0
0
0
0
0
0
0
1
1
1
1
0
16
0
0
0
32
2
2
0
0
0
0
0
0
0
16
0
16
8
0
0
8
8
0
0
0
0
0
0
0
16
16
16
0
16
16
0
1
0
0
0
0
8
0
0
0
16
16
0
0
0
8
0
4
0
0
0
0
0
0
8
0
15
0
0
8
4
0
0
0
0
0
0
0
0
4
4
24
0
0
4
0
8
1
1
0
0
0
0
0
17
17
17
8
8
0
0
0
0
16
16
16
0
0
40
40
0
0
0
0
3
0
0
2
0
0
0
0
0
0
0
0
0
0
20
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
4
8
0
0
28
0
0
0
0
0
0
0
16
0
26
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
8
8
0
0
2
2
0
0
0
0
0
0
6
0
0
8
8
0
0
0
0
25
25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
8
0
0
2
0
8
8
8
8
0
0
4
2
0
0
1
1
1
1
0
0
0
16
16
16
0
0
0
0
0
0
0
0
19
0
0
0
0
0
0
0
16
8
8
8
8
0
0
0
0
0
8
16
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
8
0
2
2
2
8
8
8
0
8
20
0
0
16
16
0
0
0
0
8
8
0
0
0
0
0
0
0
0
8
0
0
0
24
24
0
8
0
0
0
16
0
8
16
16
16
0
0
0
0
0
0
4
4
24
5
0
0
16
0
8
8
8
0
0
1
1
1
1
0
0
0
0
16
0
0
0
0
0
8
0
0
0
8
8
0
24
24
4
0
0
0
0
0
16
0
20
20
0
0
0
0
0
2
2
2
2
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
48
48
0
8
0
0
0
0
0
8
0
8
0
0
16
0
0
0
0
0
0
0
16
8
5
0
0
0
12
0
0
4
0
0
0
0
0
0
0
0
0
0
16
0
16
0
0
0
4
8
0
8
17
0
0
0
0
0
0
0
0
0
16
16
0
0
8
8
0
0
4
4
16
0
0
8
8
8
8
8
8
0
0
0
16
0
0
0
0
0
0
0
0
24
0
0
16
0
0
0
0
0
0
0
0
12
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
24
24
0
0
8
0
0
0
0
0
0
12
0
0
16
0
0
0
0
8
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
4
0
0
0
8
10
0
0
3
0
0
3
0
4
0
0
0
0
4
4
42
0
0
0
0
0
0
0
4
4
0
16
0
0
21
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
12
0
0
0
0
24
16
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
16
4
2
2
2
0
16
16
16
16
0
8
8
8
0
0
0
0
2
0
0
4
8
0
4
0
4
0
0
0
0
0
2
0
0
0
0
0
0
0
1
0
0
0
0
0
10
8
8
8
0
0
0
0
0
0
0
16
0
0
0
0
0
16
32
0
0
0
8
8
0
8
0
0
0
16
16
0
6
0
0
0
0
0
1
1
1
0
0
0
8
0
0
0
16
0
8
8
2
0
0
0
0
0
0
0
0
8
8
0
0
24
0
0
12
0
2
0
8
8
8
0
0
0
0
0
8
0
0
0
0
0
0
16
24
4
0
0
0
4
0
0
16
16
8
8
0
0
0
0
8
8
0
17
8
8
0
0
0
16
16
0
0
0
0
0
0
28
0
3
2
0
0
0
16
4
0
0
0
33
1
8
0
16
0
0
0
0
20
20
0
0
0
0
0
0
0
8
0
0
0
0
0
16
0
0
16
16
16
0
2
0
0
0
0
12
0
0
0
0
0
16
0
0
0
8
8
0
16
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
2
2
0
0
0
0
0
0
0
0
0
0
8
0
0
0
16
0
16
16
9
2
2
0
12
0
0
0
0
0
0
0
16
16
0
0
0
0
8
8
8
0
24
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
8
8
0
0
0
4
8
0
0
0
0
0
0
0
0
0
8
8
0
0
4
4
24
0
0
0
16
0
0
0
8
8
0
0
0
8
8
8
0
0
4
4
32
32
0
40
0
0
0
0
3
0
0
16
8
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
32
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
8
0
1
1
1
1
1
8
8
0
0
0
16
8
8
0
0
8
8
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
16
16
16
16
16
8
8
8
0
2
0
0
0
1
1
0
2
0
2
2
0
0
0
0
0
14
14
0
0
0
0
16
0
4
4
0
4
4
0
0
4
4
16
16
0
0
0
0
0
0
0
0
16
4
0
1
1
0
0
4
4
4
0
0
16
16
32
32
32
32
4
2
8
8
8
2
2
16
0
0
8
0
2
8
0
8
8
0
0
8
8
0
8
8
8
0
0
1
16
16
16
8
16
16
8
0
12
8
0
8
0
0
0
24
8
8
8
8
20
9
0
0
8
0
32
0
1
1
0
0
0
8
12
0
0
8
0
8
8
8
16
8
0
0
4
4
4
20
4
0
0
0
8
8
0
0
0
4
16
0
2
0
8
2
8
0
10
0
0
0
0
0
0
0
0
16
0
5
0
0
0
0
8
0
8
8
0
0
1
1
1
8
17
0
16
16
0
0
0
0
8
0
0
0
8
0
0
0
0
8
8
0
0
0
0
0
3
0
8
8
16
24
24
24
0
8
16
8
8
8
8
8
8
16
16
8
16
8
8
4
0
4
4
4
16
2
16
16
8
8
16
8
8
8
16
4
16
8
8
8
16
0
0
1
1
4
4
0
0
0
0
0
1
8
0
0
0
16
0
0
0
0
1
4
4
4
16
16
32
32
4
0
0
0
0
0
0
0
0
32
16
24
24
8
8
0
0
0
16
8
6
8
8
8
4
8
16
0
32
52
8
8
8
8
0
0
0
0
0
16
16
8
6
16
8
8
16
8
8
8
0
4
0
8
8
8
16
8
8
8
2
4
8
16
16
0
0
53
2
2
1
1
1
0
8
8
8
8
0
2
2
2
2
2
8
8
0
8
8
8
16
24
8
0
8
0
0
0
0
16
16
16
16
16
16
0
8
0
0
0
16
1
16
0
8
16
16
0
0
0
5
5
5
5
8
8
8
8
0
0
8
32
8
8
16
8
0
4
0
20
8
8
0
0
24
8
8
8
8
0
0
0
0
0
0
2
2
0
0
0
16
16
0
8
0
0
0
1
0
0
8
16
16
16
0
0
8
18
8
8
8
0
0
0
12
0
16
16
16
8
0
0
8
8
0
8
8
8
0
0
0
0
0
4
8
0
48
16
16
0
0
0
0
25
0
4
0
0
1
0
16
0
0
0
0
0
0
8
8
8
1
0
0
0
24
0
1
2
0
32
32
8
8
0
16
16
0
0
0
0
24
8
8
8
8
8
8
8
8
16
0
6
6
25
25
25
0
0
0
0
0
0
8
8
8
8
8
8
8
8
8
4
16
16
8
16
0
16
16
16
8
16
19
0
4
0
0
0
8
8
10
4
4
16
9
0
1
0
0
0
16
16
8
0
0
0
52
0
8
0
0
24
0
45
0
0
32
0
1
0
0
8
0
0
0
12
12
8
16
16
16
0
16
24
8
16
16
16
16
0
0
0
0
16
16
0
9
0
40
40
40
40
32
0
0
0
0
8
0
0
0
0
0
32
9
8
8
8
8
8
8
8
0
0
8
0
0
2
2
0
0
0
0
0
0
9
0
16
0
22
16
16
9
0
0
0
0
0
4
16
8
8
8
8
8
16
0
0
9
8
0
4
4
4
4
16
16
1
1
0
0
0
0
0
34
0
1
1
0
0
0
0
0
0
0
8
8
8
24
24
24
24
8
8
16
16
16
16
8
8
0
0
2
1
8
32
32
32
0
0
52
52
52
32
2
0
0
0
0
0
0
0
0
8
16
4
0
4
8
8
0
1
1
0
45
0
18
8
8
0
0
0
0
0
0
16
0
2
2
16
24
16
16
16
16
16
16
16
1
1
1
8
42
9
16
16
0
0
0
0
0
16
0
4
1
1
1
8
1
8
8
8
0
0
0
16
1
1
1
4
4
2
2
4
0
0
2
0
0
16
8
0
8
16
8
16
0
0
8
8
0
16
16
16
16
0
0
0
0
0
0
24
1
16
16
16
16
16
0
0
40
0
8
8
8
0
0
0
24
8
16
4
4
4
1
2
2
2
2
2
2
2
0
0
0
16
24
16
25
8
0
8
8
12
0
0
0
0
32
0
0
0
4
4
16
16
16
0
4
4
4
0
0
2
8
0
8
8
0
1
16
0
8
16
16
16
0
32
32
8
0
8
0
0
0
16
16
16
16
2
16
1
1
1
16
0
16
8
8
18
17
1
0
0
4
0
0
16
16
0
0
1
9
1
8
8
8
1
1
1
32
32
30
0
0
16
0
8
8
8
24
16
0
0
8
8
8
4
4
4
1
0
0
7
4
4
16
0
0
0
0
8
16
0
2
2
8
4
4
32
9
9
9
16
16
8
8
8
2
2
2
8
0
17
17
17
0
8
16
16
4
0
8
8
0
0
0
0
0
0
0
20
20
20
32
32
0
0
0
16
16
4
4
0
8
8
8
24
32
4
4
16
17
48
48
48
12
8
0
8
8
2
2
2
2
2
0
8
0
0
0
0
0
0
0
8
2
8
8
8
8
2
2
8
32
0
0
8
8
0
0
8
48
48
48
16
16
36
0
4
13
13
13
13
1
1
1
0
0
0
0
0
0
0
0
0
0
0
16
16
0
16
16
16
0
8
20
16
1
16
0
1
1
1
1
0
0
0
0
0
0
8
32
16
16
16
16
0
0
6
6
0
8
0
8
8
41
8
8
8
1
0
16
4
8
8
4
8
8
8
8
8
8
2
0
0
0
0
0
8
0
16
9
8
0
0
8
32
32
0
0
16
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
8
28
28
16
8
0
36
36
1
1
1
1
0
0
24
8
8
8
8
8
8
0
4
4
16
16
0
1
1
24
24
0
8
8
4
0
0
0
0
0
0
32
0
0
0
0
0
0
0
0
4
8
24
40
2
8
8
8
0
0
0
0
0
0
2
2
0
1
8
8
0
8
0
16
4
24
8
8
0
26
0
8
0
0
0
8
8
0
24
0
0
0
0
0
18
18
18
0
0
1
1
1
1
1
1
0
0
0
8
8
8
8
8
0
0
0
0
0
8
8
16
16
16
16
2
1
0
0
0
0
0
2
17
8
0
8
0
0
8
8
8
4
4
4
8
16
16
16
16
2
24
0
0
0
2
8
8
0
0
0
8
8
4
8
0
0
8
8
8
58
0
0
0
0
0
0
8
8
8
1
8
8
8
8
8
0
8
8
8
8
8
0
0
2
2
2
2
2
8
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
18
18
16
0
0
8
8
0
0
0
16
8
1
32
1
1
16
0
8
0
16
16
8
8
8
8
0
1
3
1
0
0
0
0
0
0
40
24
17
16
0
0
0
0
0
0
0
5
5
16
1
0
8
0
0
16
0
0
0
0
0
16
0
0
0
6
8
8
0
2
2
8
16
8
0
8
0
0
0
16
16
16
21
16
16
16
16
0
0
0
8
0
0
0
0
4
4
0
0
0
4
0
16
16
16
0
0
0
8
20
20
24
24
8
8
0
8
8
1
4
4
0
0
0
8
8
2
2
2
16
12
8
6
4
4
4
4
4
4
4
16
16
0
0
8
0
0
8
0
0
0
16
4
16
0
50
16
0
0
8
16
16
0
0
8
8
16
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
10
10
0
0
0
16
48
48
48
0
0
0
0
8
0
9
9
8
8
16
8
8
0
4
8
0
20
0
8
2
1
1
16
16
28
24
24
16
33
33
16
1
8
8
8
9
9
16
0
0
0
32
32
8
16
1
1
1
1
0
0
0
24
8
2
8
8
8
8
8
8
8
8
8
8
8
8
1
0
8
0
0
9
8
0
0
0
8
0
4
32
32
32
32
32
0
8
0
0
16
16
8
4
0
0
0
8
16
16
16
8
0
0
8
16
16
8
16
8
0
0
4
4
4
4
8
0
12
12
12
12
12
12
32
32
16
0
0
2
13
0
0
4
16
4
4
0
0
16
0
8
8
8
8
8
8
8
8
1
0
2
0
0
1
45
0
0
0
0
0
0
0
16
16
8
0
0
16
16
2
0
8
12
12
0
1
9
9
16
16
16
2
0
20
16
16
56
16
0
0
0
0
8
16
16
0
16
8
0
0
2
2
0
20
8
8
8
8
8
8
0
8
8
8
1
1
2
2
0
0
0
0
1
1
0
0
8
0
2
0
4
4
4
17
17
17
17
17
0
2
2
8
0
0
0
16
16
16
0
4
4
2
20
4
8
16
0
0
0
0
0
0
4
1
1
1
1
1
1
1
1
1
1
12
8
4
4
0
8
0
33
0
0
0
0
8
2
2
2
0
0
16
1
1
16
16
18
8
0
0
2
8
8
8
16
16
16
0
16
0
8
8
1
0
16
0
0
0
0
0
0
0
0
2
0
8
8
24
0
0
28
30
0
0
4
0
0
8
8
8
0
6
0
0
0
0
0
8
2
16
4
4
4
4
4
4
4
16
16
8
24
8
20
16
0
0
0
0
0
0
3
8
8
0
0
0
0
8
0
8
16
16
16
0
16
26
25
25
8
0
20
6
0
0
3
0
8
25
16
8
8
8
0
0
0
8
16
16
16
16
0
8
16
11
2
0
0
0
0
24
24
24
8
0
6
0
0
0
0
8
0
0
0
0
0
8
0
0
1
4
1
4
0
0
15
8
8
9
9
0
0
0
8
0
0
0
0
1
8
8
0
0
0
2
16
16
16
8
16
16
0
8
0
0
8
0
0
1
8
8
8
8
8
8
8
0
0
0
0
8
8
0
0
16
0
4
8
8
8
0
0
16
16
1
0
17
0
16
16
32
32
0
0
0
0
16
16
16
9
8
16
0
16
0
0
32
32
32
0
0
4
2
2
2
0
0
26
2
0
32
32
0
0
0
0
0
0
12
0
0
0
16
16
4
4
4
0
8
8
8
16
0
0
24
8
0
0
0
1
0
1
1
1
16
0
4
25
16
8
4
0
8
0
0
8
0
0
0
0
0
0
0
34
0
1
1
4
8
8
8
0
2
0
8
0
8
16
0
0
8
1
1
1
8
0
8
1
0
8
0
0
0
0
0
0
0
8
8
0
16
8
0
0
0
8
4
16
16
16
16
2
1
24
24
17
0
24
0
1
16
16
0
0
0
8
16
16
16
16
32
0
0
41
9
8
0
0
0
0
0
1
1
0
0
4
4
0
0
8
8
8
24
0
8
16
0
8
0
0
0
0
0
0
0
24
1
0
0
0
0
3
2
0
0
0
4
4
4
8
8
0
0
0
0
8
0
0
24
24
24
0
0
0
0
0
0
0
20
0
16
16
16
12
4
4
4
2
2
0
0
24
20
0
24
8
0
0
2
2
0
0
0
0
0
8
8
8
1
1
1
16
16
16
24
24
8
16
0
0
0
0
0
0
0
1
1
8
0
0
16
16
4
4
8
0
8
0
0
0
16
4
8
0
8
16
2
4
0
0
0
8
0
0
16
16
16
0
0
8
8
0
1
8
8
10
10
8
8
8
16
8
8
8
8
16
16
16
0
4
4
4
16
16
8
8
0
8
8
8
0
0
0
8
32
0
8
8
8
0
0
20
20
16
0
0
0
16
0
0
8
0
0
0
8
8
8
0
0
16
16
0
0
0
0
57
57
0
0
0
1
1
16
16
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
24
0
0
0
8
8
8
32
3
3
17
0
16
0
0
16
16
32
0
60
4
16
16
16
0
0
16
0
8
16
0
18
16
16
16
2
4
0
0
8
0
0
0
0
0
0
0
4
0
0
0
0
26
16
8
2
4
4
4
4
0
16
0
4
8
8
8
8
24
24
24
0
0
10
10
0
0
32
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
1
1
1
0
0
16
16
16
16
0
0
32
32
8
24
0
0
24
8
8
8
0
0
32
32
0
0
0
8
8
4
16
16
8
8
0
0
0
16
0
0
40
0
0
16
2
2
2
24
24
8
0
0
0
16
0
0
8
0
0
0
8
8
0
0
0
0
0
0
8
8
8
8
0
0
6
6
6
0
0
0
32
8
8
0
0
1
1
1
8
0
16
16
4
4
4
4
4
8
8
8
0
0
0
0
0
0
1
0
4
4
8
0
0
0
0
16
2
2
4
4
4
4
0
16
16
8
32
16
12
12
12
1
17
0
16
2
8
8
0
16
0
0
0
8
8
8
0
4
4
4
1
1
8
8
8
8
16
16
4
8
0
8
8
8
0
4
7
4
1
1
1
4
16
8
8
0
8
8
16
16
8
8
0
0
4
0
0
0
0
0
16
16
16
16
16
16
16
16
0
0
19
0
1
0
0
16
4
1
16
8
8
8
8
16
16
0
32
8
16
16
16
16
9
0
8
4
4
4
0
0
8
4
8
2
2
16
8
12
0
0
32
16
24
4
0
8
0
0
16
0
0
0
0
0
16
4
16
16
0
1
1
26
8
8
8
20
0
0
16
0
0
8
4
8
8
0
0
0
8
8
8
0
0
2
16
16
16
16
0
8
0
0
3
3
3
4
0
0
16
16
0
0
24
8
16
0
0
0
24
24
24
24
2
0
0
0
0
0
0
0
2
18
0
0
8
16
8
16
4
4
16
8
0
2
2
1
1
1
8
8
8
1
0
0
12
12
12
8
8
8
8
16
0
0
0
16
8
8
0
0
4
1
18
0
16
16
8
8
16
0
16
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
24
24
24
24
24
17
17
17
8
16
0
0
15
4
26
48
32
32
32
8
8
28
28
28
28
28
20
2
0
4
4
4
8
0
0
0
0
0
0
1
1
27
16
8
0
8
12
0
0
20
0
9
9
0
8
0
0
1
8
8
8
8
0
16
24
2
1
1
4
0
16
8
8
0
16
16
1
1
0
0
0
0
16
0
0
0
0
0
2
2
0
8
8
32
32
0
0
5
1
16
16
0
0
8
4
12
8
8
13
13
0
8
16
16
0
4
4
17
8
8
8
8
0
0
0
0
0
0
8
8
0
0
1
8
8
8
24
8
8
8
8
4
4
4
4
0
0
16
8
8
4
4
8
0
0
4
16
16
0
0
16
16
32
32
0
0
0
16
8
8
16
4
4
0
0
8
8
8
16
8
8
0
8
8
8
8
8
8
8
8
0
0
0
8
8
8
8
0
0
16
4
0
32
4
4
4
0
0
32
16
16
16
2
16
0
1
0
16
8
0
0
0
8
8
8
0
8
8
8
8
8
8
2
0
0
0
0
0
16
4
2
2
0
0
0
0
8
8
8
24
24
24
16
0
8
8
16
16
16
24
1
1
0
16
0
4
0
32
2
0
8
8
8
8
8
8
1
32
32
16
16
24
4
0
8
8
0
0
1
32
32
32
4
4
2
2
0
2
1
24
24
24
24
8
1
1
1
1
1
25
25
25
25
25
25
4
3
0
4
8
8
4
0
4
0
0
0
0
0
0
0
0
16
16
16
16
16
16
20
8
0
0
4
4
8
18
18
18
18
2
4
8
10
1
2
8
8
8
8
0
16
16
2
2
4
0
0
2
2
2
2
0
2
2
2
0
0
0
0
0
8
33
33
32
32
32
32
0
0
24
0
16
8
0
24
24
24
6
0
0
0
18
28
0
16
8
8
4
16
8
0
0
4
16
16
16
16
16
16
1
1
1
0
0
0
0
0
8
16
16
16
0
0
28
24
16
0
0
0
17
0
8
0
8
8
8
0
2
8
8
5
5
0
0
8
8
11
16
16
16
16
16
0
8
8
0
0
25
4
2
0
0
16
0
0
0
0
0
16
40
24
24
0
0
16
16
8
8
24
0
0
0
0
8
16
4
0
0
0
0
8
0
60
16
24
0
0
0
0
16
16
0
16
17
0
0
8
12
4
8
4
32
8
0
0
2
1
8
16
16
0
16
9
34
25
24
24
24
0
0
8
0
16
16
16
16
16
16
8
8
0
0
2
0
1
1
1
16
0
0
0
0
0
0
0
8
0
0
0
8
0
0
10
10
10
10
2
2
2
2
0
0
0
4
4
0
0
17
0
0
5
0
4
8
8
0
0
0
0
0
8
8
0
0
0
0
0
0
1
0
9
0
0
14
8
12
2
0
16
16
16
8
32
32
32
1
1
1
1
1
2
8
0
16
8
8
8
8
8
8
0
0
0
0
0
0
4
4
4
0
0
0
26
0
16
48
48
8
32
32
32
0
0
0
12
2
1
8
0
0
4
4
0
0
0
0
0
0
8
8
32
32
32
25
1
0
8
4
0
8
16
0
8
40
40
40
32
8
8
0
1
4
4
0
17
1
0
0
4
1
1
1
1
1
0
0
8
16
0
16
0
0
0
0
0
0
0
8
8
16
16
8
8
8
8
0
8
6
8
8
8
24
0
0
0
0
4
5
5
1
16
4
0
0
0
18
8
5
0
0
0
0
0
0
0
0
0
2
2
0
0
8
8
0
0
0
0
16
16
16
0
0
1
2
2
2
1
8
16
0
0
0
25
0
2
16
0
0
0
16
1
0
0
16
8
16
0
8
0
0
0
0
8
12
1
16
0
0
41
4
4
4
4
4
16
8
0
0
0
0
0
16
0
0
0
0
2
16
24
16
0
0
0
0
0
0
2
2
2
16
32
0
0
0
8
16
0
0
4
2
2
2
16
2
0
8
2
0
8
8
8
8
8
0
8
16
16
8
0
0
4
0
16
8
8
8
16
32
16
16
16
16
18
18
18
18
18
16
0
2
2
2
8
4
4
0
0
0
6
8
0
0
0
0
0
0
16
16
16
16
16
1
1
1
8
16
16
0
0
24
0
0
0
0
18
18
8
8
0
0
0
0
16
0
0
0
0
8
8
8
0
9
8
8
8
8
8
0
0
16
20
20
0
8
8
8
8
0
0
2
0
0
0
8
8
8
3
0
0
0
1
1
1
1
1
0
0
8
18
18
18
0
0
4
4
4
0
0
0
8
8
8
8
3
20
16
0
0
8
16
0
0
0
0
0
0
0
16
4
0
0
0
0
0
8
16
16
0
8
0
4
8
0
0
0
0
9
9
9
24
24
0
8
0
16
16
43
1
1
8
8
0
0
0
16
16
16
4
8
8
8
8
48
48
8
8
8
41
41
1
16
16
8
0
5
5
0
0
8
0
0
16
0
0
0
16
9
0
0
16
16
16
16
0
0
0
0
0
0
0
0
0
0
16
8
40
40
40
8
4
32
32
32
32
32
32
0
4
4
0
8
8
8
8
0
0
0
9
9
0
0
8
8
8
8
16
0
0
0
3
8
0
8
0
0
0
21
21
8
0
0
8
16
16
8
8
1
0
0
0
0
0
0
0
0
24
24
8
0
0
0
8
8
8
4
4
4
0
8
8
8
4
8
0
0
0
28
8
0
0
4
4
4
4
8
0
1
1
0
0
0
16
8
8
8
8
8
8
0
25
8
8
8
8
8
0
8
8
16
0
0
0
0
8
16
16
2
0
8
0
0
32
16
16
16
16
0
16
17
17
0
0
0
0
1
12
0
0
0
0
1
1
0
0
0
4
4
0
2
2
16
14
10
24
0
0
0
4
4
0
0
0
0
8
8
4
24
16
0
8
24
24
24
16
4
0
0
0
0
16
0
0
0
0
16
0
0
0
0
0
0
0
8
0
9
1
16
1
34
34
0
20
20
20
0
0
0
8
8
0
0
0
16
0
0
0
17
17
16
9
0
17
1
1
8
8
20
16
16
4
5
8
0
4
4
0
8
1
0
16
3
16
16
16
8
0
0
0
8
0
8
8
0
0
0
0
24
58
0
16
8
1
1
1
57
57
0
0
0
16
0
0
8
32
16
17
0
16
16
0
0
0
0
6
4
0
8
8
0
1
16
16
0
0
16
16
16
16
16
0
0
0
2
2
0
0
2
2
0
0
0
16
32
32
0
0
16
8
8
0
0
1
8
8
16
16
25
8
0
0
16
16
8
2
24
16
16
6
0
0
8
1
1
24
0
16
0
0
0
0
16
16
16
16
16
0
16
0
8
8
16
18
4
4
8
8
8
16
16
0
4
4
0
0
4
0
8
8
0
4
8
8
0
0
16
16
16
0
0
0
0
16
0
0
16
0
0
0
16
11
25
16
0
0
0
8
8
8
8
8
16
16
16
16
16
16
2
4
17
16
16
16
0
8
8
0
16
8
0
28
8
0
0
1
20
1
8
8
0
16
16
8
16
0
0
0
0
0
0
0
0
2
2
0
16
16
33
4
8
8
8
32
8
8
16
16
16
16
16
4
8
8
8
0
4
0
0
0
16
16
16
8
4
4
8
8
8
0
0
0
0
0
16
8
0
1
0
0
0
8
0
0
1
8
8
1
16
16
0
2
2
0
24
0
32
32
9
16
2
0
0
8
8
8
16
32
0
0
6
6
1
0
8
8
8
8
8
8
8
8
0
20
4
4
4
8
8
8
8
8
32
1
16
0
8
8
8
8
8
0
0
0
0
0
0
8
8
8
8
0
0
0
0
1
4
2
0
0
0
0
8
8
1
1
0
0
0
8
0
0
5
8
20
2
16
16
16
16
16
4
8
8
16
0
0
0
8
8
8
8
40
32
32
32
20
1
1
0
0
0
0
0
8
0
16
16
0
0
8
0
0
16
0
4
4
1
8
8
8
2
8
2
2
3
1
2
2
2
16
0
0
32
32
0
0
8
0
16
16
8
8
0
0
0
0
0
0
0
0
0
4
4
8
8
1
4
8
4
4
8
8
28
24
0
0
8
4
2
2
2
2
0
0
0
0
0
0
16
8
8
8
8
8
0
0
0
0
0
16
16
16
0
0
0
0
0
16
16
0
0
0
0
0
16
16
0
34
0
4
4
0
8
4
4
0
9
0
0
0
0
16
0
0
8
8
16
0
2
0
17
17
0
0
0
0
0
8
16
16
0
0
0
32
32
32
0
16
16
8
16
16
16
8
8
2
16
16
16
16
16
8
8
8
1
8
1
1
1
8
5
5
16
0
0
1
0
8
8
8
8
8
0
0
0
4
24
6
6
6
20
20
0
0
0
0
16
24
24
24
0
0
0
0
16
16
16
16
16
16
16
16
3
3
0
0
1
0
16
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
8
8
8
8
24
24
8
8
8
16
0
4
0
0
0
4
8
16
0
0
0
0
8
32
32
1
0
0
20
0
8
16
0
4
0
0
16
16
16
8
24
8
0
32
16
16
16
0
0
0
0
0
0
0
8
8
4
0
8
0
0
26
26
0
0
12
0
0
0
8
8
8
8
4
8
0
0
16
0
0
0
6
0
8
8
8
8
4
0
2
2
0
32
0
0
0
8
20
0
0
0
16
0
19
16
0
0
0
0
8
8
8
8
0
16
0
0
0
0
1
1
1
1
16
0
8
0
8
0
8
8
8
8
8
0
0
0
0
0
8
0
0
0
0
0
6
16
16
16
16
16
16
0
0
4
17
17
0
0
0
12
12
8
8
8
0
0
8
4
4
8
3
10
10
20
20
24
8
8
16
16
16
0
0
0
16
0
16
16
16
16
16
8
8
4
1
0
0
4
24
8
4
4
0
0
8
8
0
32
32
32
32
4
8
8
1
0
17
0
0
0
0
8
0
0
8
1
1
0
16
24
16
0
8
0
0
0
8
16
16
25
0
16
8
8
16
0
16
16
16
0
8
16
32
32
32
32
32
8
8
8
8
8
8
16
4
8
8
8
0
0
32
32
32
32
0
0
1
0
26
8
49
0
3
8
16
16
16
0
4
0
0
1
8
0
4
8
16
16
0
0
0
4
20
23
8
8
4
4
4
0
0
0
0
0
0
0
4
4
8
16
8
8
8
7
16
1
1
0
1
16
16
16
0
0
16
8
8
16
5
8
0
0
40
9
32
16
2
0
32
32
0
16
16
16
8
8
48
0
0
18
0
16
8
2
0
0
8
8
16
28
28
4
8
8
8
2
2
2
2
0
0
0
0
0
0
0
0
0
16
40
16
0
0
0
0
0
32
0
4
32
0
2
8
10
0
0
0
16
16
8
8
4
8
5
0
4
0
32
16
16
16
8
8
8
8
8
8
8
8
8
8
0
4
8
0
0
0
16
16
4
20
20
8
8
8
8
0
0
0
24
24
24
24
0
0
0
4
0
0
0
0
4
0
0
0
0
0
4
4
4
4
4
16
8
8
0
16
16
4
0
0
0
0
4
4
4
0
4
4
0
0
16
16
16
16
8
8
20
20
20
12
12
0
0
0
0
0
0
0
3
16
2
2
0
8
20
16
4
0
0
5
5
8
0
0
8
0
0
0
0
8
8
18
0
4
4
12
12
12
12
12
12
16
16
4
4
8
16
16
0
0
4
2
4
8
16
16
16
16
0
0
0
0
0
48
32
9
25
0
0
0
8
8
0
0
0
1
8
8
8
0
26
10
0
32
0
0
8
16
0
2
8
0
16
0
0
0
16
16
16
16
40
18
18
16
16
0
8
8
24
1
0
2
0
0
0
16
16
17
8
1
8
8
8
0
0
0
8
0
12
0
32
32
0
0
0
0
24
2
2
2
0
8
8
0
0
0
0
0
8
8
0
0
0
8
16
16
0
4
8
8
0
0
0
4
8
8
8
8
12
0
4
4
16
16
16
16
16
8
8
8
16
16
16
0
0
8
8
8
8
32
0
12
18
0
0
18
18
0
0
1
2
2
0
8
0
1
1
1
1
1
32
32
32
32
8
13
13
16
8
1
16
8
8
0
2
0
16
4
4
4
0
0
0
16
0
0
0
0
0
1
9
0
4
4
0
0
16
16
18
18
0
0
16
0
0
8
8
20
4
0
8
0
1
16
32
32
8
0
0
0
0
0
0
2
8
8
8
8
16
0
2
0
0
0
4
0
0
0
0
0
8
8
16
8
8
8
0
8
0
16
2
2
0
0
0
2
2
8
0
0
16
16
8
8
16
16
16
16
0
1
24
24
0
0
0
16
16
16
32
16
0
0
8
8
8
0
0
0
8
0
0
0
0
0
8
0
4
8
0
0
0
7
0
16
8
2
2
4
4
4
0
0
0
8
0
0
1
8
8
8
8
8
0
0
0
56
16
1
1
1
16
16
41
41
41
60
0
0
2
0
62
0
0
0
0
38
4
4
2
24
24
8
0
0
2
8
8
1
0
8
8
8
0
8
1
4
4
16
16
16
16
0
0
0
16
16
1
1
0
0
0
0
16
16
8
8
12
12
8
8
8
8
16
8
4
8
8
0
0
0
0
4
4
16
0
0
0
16
0
24
24
0
0
0
0
16
8
4
1
8
8
0
0
1
16
2
58
58
1
0
16
16
0
0
0
0
0
8
0
8
32
32
1
16
16
0
0
0
0
0
8
4
4
0
8
0
0
0
0
0
0
20
20
0
16
16
16
16
2
2
24
24
24
24
24
0
0
0
16
16
16
0
0
0
0
0
0
2
24
24
24
8
8
8
8
16
16
1
4
4
16
2
0
0
0
16
8
8
16
0
4
0
10
10
8
18
18
16
16
16
4
0
0
16
16
16
16
16
0
8
8
8
10
8
8
0
0
0
6
8
8
1
16
2
2
4
0
6
0
16
16
16
16
28
0
0
25
16
0
16
0
0
8
40
40
8
8
2
16
16
1
1
16
0
0
16
32
32
32
32
0
2
0
0
0
24
8
4
16
16
4
16
16
16
4
4
0
0
8
8
8
8
8
8
8
0
32
0
16
16
4
8
8
16
0
16
16
16
20
0
2
16
8
2
2
2
0
0
0
1
0
2
2
2
1
0
0
4
16
16
0
0
0
0
0
0
0
0
0
0
0
0
8
8
16
4
1
1
0
0
16
0
32
0
48
0
0
25
25
25
25
16
0
0
8
0
8
8
0
0
16
2
24
8
0
36
8
8
1
12
12
12
8
0
0
8
8
8
8
8
1
16
16
0
0
4
4
1
1
24
16
16
16
16
16
16
8
8
0
0
4
0
16
16
32
32
1
1
0
16
16
16
16
1
8
8
2
2
16
28
0
0
0
8
8
0
8
4
0
0
0
0
0
0
1
0
16
16
16
0
20
0
0
5
5
0
0
0
1
0
0
0
0
0
2
2
0
16
16
16
16
8
8
16
16
4
4
8
16
16
16
8
0
0
16
16
0
16
20
20
0
8
8
1
0
0
3
3
16
16
16
8
0
8
17
0
0
0
8
8
0
4
4
4
0
0
8
8
8
16
16
16
8
32
32
6
8
8
8
8
8
8
8
8
16
16
16
0
16
16
12
0
0
0
8
32
32
32
16
0
0
0
0
24
24
24
24
24
4
5
5
8
8
8
8
0
8
8
2
0
33
33
0
0
24
24
24
16
0
0
0
0
0
0
0
24
24
24
24
0
24
0
8
8
8
8
8
16
16
16
8
8
8
0
8
8
16
16
32
16
16
0
0
0
16
16
8
8
0
16
8
8
0
0
0
20
20
20
8
0
0
0
0
1
0
16
17
17
17
1
1
2
0
4
0
0
16
16
16
16
8
43
43
8
0
4
4
32
0
0
0
20
16
0
8
4
4
24
0
8
16
0
4
0
2
2
3
3
8
1
1
0
8
8
8
0
16
0
16
0
32
12
12
12
8
8
8
8
32
8
44
8
8
38
0
16
24
8
8
8
8
0
8
8
0
0
0
8
0
0
16
16
16
1
0
2
0
8
8
8
8
8
16
16
12
0
16
0
8
1
0
0
0
0
0
0
16
0
16
0
0
0
0
0
8
8
8
8
8
0
9
16
16
8
0
8
8
8
8
8
8
8
20
16
0
20
8
8
8
16
0
8
0
4
0
8
8
8
8
8
8
8
8
0
1
2
2
1
20
0
0
0
0
16
16
0
18
18
18
0
8
8
4
0
0
0
0
16
16
8
4
0
0
0
5
5
1
8
16
16
0
16
16
4
0
0
0
0
8
0
31
15
1
6
0
8
0
0
0
0
0
0
8
8
0
16
32
32
32
32
32
24
16
0
6
0
0
0
4
4
0
8
8
0
0
8
0
1
8
0
16
31
0
6
6
16
0
16
16
4
16
8
0
0
0
0
0
0
0
16
16
8
8
8
16
8
8
8
20
0
0
0
0
0
0
0
0
0
8
0
4
0
24
8
8
0
0
0
0
0
2
16
16
0
0
0
0
8
8
2
2
0
0
16
16
16
1
1
0
8
8
0
32
32
33
33
33
8
0
0
4
8
8
8
0
0
0
0
0
16
8
8
8
8
8
8
8
0
0
16
16
16
16
0
0
16
16
2
2
2
16
24
24
24
24
16
2
0
0
0
32
1
16
2
2
16
0
0
0
0
0
0
8
8
0
0
4
4
1
0
0
0
0
16
16
8
8
1
1
8
8
0
2
16
24
16
0
0
0
0
0
0
0
0
0
16
1
0
1
1
8
4
4
16
16
16
17
8
8
8
16
16
25
25
17
16
11
0
0
16
16
16
16
0
19
19
19
19
0
16
4
0
0
8
8
16
16
0
0
2
0
4
41
0
0
0
0
1
1
1
1
1
16
14
0
16
19
8
8
16
0
8
16
16
0
16
16
8
8
0
4
4
1
0
0
0
0
16
16
16
16
0
16
16
16
16
16
16
0
20
16
16
16
0
0
0
0
32
0
2
0
8
8
8
0
0
0
0
8
0
8
1
24
1
1
1
0
0
0
8
8
8
0
16
0
0
0
16
16
8
8
8
8
16
0
0
0
0
0
0
0
0
17
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
2
1
1
1
1
8
8
8
0
0
0
32
0
1
0
1
16
16
16
4
8
0
0
0
4
16
4
4
16
6
6
6
6
0
2
0
0
24
9
2
2
2
17
17
0
0
8
0
4
8
16
0
0
1
1
1
1
1
16
0
0
0
16
16
0
8
8
8
8
0
17
0
12
12
0
8
8
8
0
0
1
0
0
24
0
1
1
0
0
8
16
1
16
16
16
1
16
16
16
0
0
8
8
16
0
0
0
0
0
0
0
24
24
16
8
0
32
2
2
4
8
0
16
0
0
0
16
8
0
16
8
8
8
16
40
40
40
8
0
0
0
1
1
0
0
0
0
28
0
0
8
16
16
16
16
16
0
8
8
8
8
0
24
0
8
8
8
8
16
2
2
16
8
8
8
0
0
0
0
0
0
8
32
12
8
8
4
24
0
0
0
4
4
4
0
0
0
8
4
16
17
17
17
16
1
1
3
8
16
0
0
8
8
8
8
1
0
0
0
8
8
8
0
0
0
0
0
0
8
0
0
17
8
1
0
0
0
0
0
0
6
6
2
2
2
0
0
0
0
0
0
2
0
16
20
8
8
8
0
0
24
24
0
0
8
8
0
12
0
0
8
5
5
0
2
8
27
8
8
8
0
0
2
0
8
0
8
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
16
8
8
8
8
0
0
0
0
0
0
8
8
8
8
8
0
16
0
0
0
16
16
16
4
8
24
0
0
0
0
0
0
0
8
11
11
0
8
24
24
0
0
16
8
8
0
32
0
0
0
0
0
0
8
0
0
8
8
8
8
8
8
8
8
16
1
16
8
8
8
24
0
0
0
8
8
0
0
8
8
28
0
8
0
0
0
0
0
8
8
0
32
20
20
20
20
20
32
32
16
16
0
0
0
0
18
18
16
16
4
4
8
8
8
0
0
0
0
8
0
0
0
0
24
16
16
1
0
0
0
0
16
0
4
8
16
0
1
0
0
8
24
8
0
0
0
0
19
16
16
16
16
16
16
16
16
0
17
0
0
24
24
16
0
0
25
8
8
16
0
0
0
0
8
0
0
24
0
16
16
16
0
20
16
2
2
16
16
0
0
0
0
0
8
9
9
8
8
0
8
8
4
4
4
0
0
8
8
8
8
8
8
2
8
8
8
0
1
8
0
0
16
0
0
0
0
0
0
24
4
0
16
16
16
16
2
16
16
16
16
16
16
0
0
0
2
2
0
0
32
4
0
0
0
8
8
16
0
2
2
8
16
0
0
0
0
0
0
0
4
0
0
1
16
16
16
2
4
1
1
16
16
16
16
8
4
4
4
24
0
0
0
0
0
0
5
21
0
0
0
2
8
0
48
16
28
8
12
16
8
9
8
4
4
8
8
8
0
4
2
16
16
0
0
0
0
0
24
0
0
1
1
1
0
0
0
0
8
1
8
8
0
0
0
4
16
16
4
25
0
8
4
0
8
8
0
8
0
12
0
0
0
0
5
0
16
8
0
0
8
8
8
8
24
0
8
8
8
4
1
8
16
16
0
0
0
0
16
16
0
0
0
0
0
8
0
16
16
0
17
17
17
17
17
0
0
0
5
1
1
0
0
0
0
0
0
0
22
22
22
48
8
8
0
0
0
16
16
16
2
2
2
2
0
0
0
16
8
8
8
0
8
8
0
8
16
16
8
8
0
0
12
1
2
2
24
0
17
17
16
0
2
0
0
16
0
20
12
12
0
0
10
8
8
16
0
8
0
0
0
4
16
16
16
32
0
0
0
0
0
8
8
8
0
0
16
2
0
0
0
0
0
24
48
33
0
32
32
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
8
0
1
1
17
5
5
5
0
0
9
9
9
9
2
32
0
0
0
0
8
5
52
52
52
40
32
0
0
0
0
0
0
0
24
13
8
1
0
16
4
16
12
24
0
0
0
16
0
0
0
0
1
1
1
8
0
0
1
4
1
16
8
0
0
0
8
8
0
0
4
8
4
4
4
28
4
4
4
4
4
4
1
8
0
25
0
0
0
8
8
8
8
8
8
1
1
0
0
0
16
8
8
16
8
8
6
8
0
0
0
8
48
0
0
16
0
0
0
0
0
24
0
8
2
8
8
4
4
8
8
8
8
8
8
16
16
16
1
1
3
8
16
16
0
0
0
0
0
0
4
0
0
0
16
0
32
32
16
8
8
0
24
0
0
0
0
8
8
0
8
8
16
16
16
16
16
8
0
0
16
16
16
0
0
0
16
16
4
0
0
6
4
16
16
16
32
0
2
2
0
16
16
0
8
8
16
0
0
0
0
0
12
0
0
12
16
8
0
0
8
8
8
16
4
4
0
0
0
0
0
0
9
8
8
16
16
16
2
0
0
8
8
0
0
0
0
0
0
2
0
28
16
0
0
0
0
8
0
1
2
2
33
16
25
8
16
16
0
0
16
16
4
0
4
4
4
4
4
2
2
8
0
20
8
0
0
8
0
0
0
16
0
0
16
32
0
8
16
4
8
0
0
0
8
16
0
0
0
0
0
0
8
0
8
0
20
18
0
0
8
2
0
0
0
16
16
0
0
0
0
0
0
1
8
26
8
8
8
1
1
16
16
16
4
2
2
8
0
0
17
17
17
16
0
8
0
8
8
0
16
0
16
16
16
8
0
0
0
0
0
0
0
4
8
8
0
8
8
49
1
0
0
32
0
16
0
16
16
16
8
2
0
0
0
16
16
16
16
0
0
0
0
0
0
1
0
0
0
4
0
0
56
0
0
0
0
0
16
16
4
4
8
8
1
0
8
2
2
2
16
4
0
0
0
8
8
0
0
17
0
0
12
0
8
0
0
0
16
16
16
25
16
16
0
0
32
0
17
18
2
0
22
8
16
16
16
8
0
4
8
8
8
8
0
0
0
8
16
16
8
8
8
8
0
0
0
8
8
1
33
0
17
1
1
1
16
2
2
0
1
0
4
0
0
0
8
8
8
0
8
8
16
8
8
0
8
16
0
0
0
0
0
0
16
16
16
16
16
4
8
8
8
0
0
12
12
12
12
16
0
16
0
0
16
16
0
0
0
0
0
0
0
8
0
0
20
2
2
2
0
2
0
0
0
0
0
16
0
24
24
17
0
0
0
2
0
13
8
8
8
8
8
8
8
16
0
0
0
0
0
16
0
8
0
2
2
2
2
35
35
4
0
8
8
8
0
0
25
25
0
0
4
24
8
0
0
0
0
0
0
0
0
0
4
16
16
16
16
16
0
0
24
0
16
16
0
16
14
4
4
13
13
1
2
2
2
16
16
16
0
0
0
0
0
0
16
16
16
8
0
28
0
32
32
32
0
16
4
4
4
4
24
16
0
2
0
0
24
24
4
0
24
32
32
32
32
32
32
0
8
8
0
16
0
25
25
0
0
16
0
4
4
4
4
4
0
0
1
1
1
1
0
2
2
2
0
0
0
0
0
4
4
9
9
9
9
9
0
0
8
0
0
0
0
26
26
26
26
8
8
9
16
16
0
0
16
1
1
1
16
1
2
0
0
0
0
17
16
16
4
8
16
0
0
0
8
8
8
2
16
16
24
1
20
0
8
8
8
32
32
16
2
8
8
1
8
8
0
16
16
16
0
16
16
0
24
0
8
4
4
0
24
8
8
8
8
0
32
32
4
0
3
0
0
8
0
2
4
0
0
8
8
0
0
0
0
0
0
0
0
0
16
24
0
0
0
0
0
0
0
0
8
8
8
8
0
0
0
0
1
6
6
0
8
8
0
0
0
0
0
0
0
4
16
2
18
18
0
0
0
41
36
36
24
24
24
24
0
16
8
8
0
0
0
8
8
16
16
4
4
0
1
0
0
16
0
4
2
2
20
20
0
0
0
0
0
0
0
1
1
8
0
0
0
24
16
24
8
1
0
1
8
12
1
4
0
16
0
4
2
2
16
33
3
16
0
0
8
8
8
8
16
0
48
16
16
2
16
16
0
0
0
0
0
0
4
0
41
41
16
16
0
0
1
1
0
0
16
16
16
16
16
48
2
2
8
8
8
8
8
8
1
0
49
8
8
8
16
18
0
0
0
4
48
0
0
0
0
0
0
0
0
0
0
24
24
0
0
0
12
8
0
0
0
8
2
0
1
0
0
0
8
9
9
9
9
9
9
0
0
4
8
8
8
8
8
8
8
28
24
0
0
2
8
0
8
8
8
8
8
0
0
1
1
1
1
1
1
1
0
0
0
16
16
0
0
2
2
2
2
0
0
0
8
2
8
0
0
8
0
16
0
8
8
0
0
0
16
16
0
8
16
16
16
16
4
0
1
2
0
20
20
0
8
2
8
16
17
0
0
4
0
8
8
8
8
8
0
1
0
0
16
4
8
8
8
8
8
8
4
0
0
0
8
0
0
16
16
16
8
1
0
16
16
16
16
0
0
16
16
16
8
8
16
12
32
8
0
0
0
0
0
1
1
0
8
0
0
8
0
4
4
4
0
4
0
8
8
0
8
8
8
0
0
8
8
8
0
0
32
32
0
4
4
0
8
8
8
0
0
0
16
16
16
0
0
0
16
0
16
8
0
44
0
0
0
0
16
8
8
8
0
0
0
0
2
2
0
9
9
0
0
0
0
24
11
0
0
16
16
16
16
0
8
8
8
16
16
16
0
0
4
4
4
16
16
16
16
18
16
0
6
4
4
16
0
4
0
4
0
0
8
0
0
0
16
32
32
0
0
0
16
16
16
0
0
8
8
0
8
8
8
8
4
4
8
0
16
0
8
8
8
24
8
0
0
3
3
12
4
8
8
16
16
16
16
8
16
4
16
16
0
0
0
0
8
8
8
8
1
0
0
0
0
1
1
18
8
8
0
0
0
2
0
0
0
16
16
16
2
8
8
8
8
1
0
0
0
0
0
0
0
0
0
0
16
16
16
8
8
0
0
16
0
0
4
16
0
0
4
16
0
0
0
0
0
8
8
8
7
0
0
0
0
8
0
0
8
8
8
0
8
1
1
8
16
4
0
0
4
0
8
8
8
16
0
8
8
8
8
8
1
17
17
8
8
16
16
0
0
2
0
8
8
0
0
16
0
0
22
16
16
8
8
1
0
0
0
0
0
8
8
1
1
0
4
4
4
8
8
8
16
8
8
8
0
0
0
0
0
8
8
0
0
0
0
0
0
0
2
0
4
16
9
9
8
8
0
8
0
16
4
4
0
16
0
16
18
18
18
18
18
22
0
32
0
8
8
8
8
8
8
16
0
0
0
0
0
8
8
8
8
1
8
8
56
4
16
16
8
16
1
1
1
1
1
4
0
0
0
0
0
16
0
0
8
16
8
8
8
8
8
8
0
0
8
24
16
16
4
4
16
0
0
0
0
0
2
1
24
24
8
8
4
0
2
0
0
0
0
0
0
0
0
16
16
2
2
0
32
0
0
0
0
16
0
0
0
0
8
8
8
0
0
4
1
4
0
0
0
0
0
0
40
40
0
0
1
4
4
4
0
0
0
0
0
0
0
0
8
8
8
8
8
32
12
1
8
16
16
0
0
16
16
16
16
16
16
41
17
17
17
17
17
17
17
8
8
8
8
8
0
8
13
8
0
0
4
0
8
8
8
8
2
0
0
0
8
4
0
0
8
8
8
8
3
3
1
0
0
0
0
16
4
8
16
16
0
0
17
17
17
0
24
0
4
16
0
0
4
4
0
0
8
8
0
0
0
0
1
1
1
8
24
24
0
0
0
0
0
0
8
2
8
8
8
8
0
8
8
8
8
8
9
9
9
16
16
16
2
0
0
8
4
4
32
0
16
16
0
0
8
8
0
2
0
0
0
16
16
16
16
16
16
16
0
16
16
16
8
8
8
1
1
1
8
24
8
16
8
0
40
40
40
40
40
8
0
0
0
0
8
8
8
0
0
0
0
16
8
0
0
0
0
0
4
16
1
8
16
16
16
16
16
16
0
1
2
8
0
0
0
0
16
0
16
16
16
0
0
0
0
18
16
16
0
0
32
8
8
8
8
0
8
8
16
16
2
2
2
0
16
16
4
0
0
25
8
4
16
16
16
0
8
8
8
4
8
0
0
0
0
16
0
0
8
8
16
0
0
0
16
0
0
0
0
0
0
8
0
0
32
0
16
16
16
0
8
0
16
4
4
4
12
12
0
0
0
0
0
4
4
4
2
1
1
4
8
8
8
16
16
8
8
32
32
32
32
17
0
0
1
0
0
4
0
0
0
0
0
0
0
8
0
0
0
0
8
8
8
1
1
1
8
8
8
8
0
0
0
0
34
13
13
13
13
0
28
28
0
2
0
0
1
1
1
1
16
16
16
16
16
16
16
16
16
8
8
16
0
0
0
0
0
16
16
0
8
16
16
8
0
8
8
8
0
0
0
0
0
8
8
0
0
0
8
8
0
0
16
4
32
4
8
8
8
0
2
2
2
2
1
0
0
8
16
16
16
16
16
0
8
8
4
0
16
17
17
0
0
8
0
8
0
16
0
33
16
8
0
0
8
4
4
8
8
16
16
0
0
8
17
0
17
17
17
16
8
8
8
8
8
8
8
0
0
16
16
8
0
16
40
0
0
0
0
0
0
0
0
0
0
16
16
16
0
0
0
0
0
16
16
8
4
0
8
4
4
8
0
16
16
16
16
16
16
16
16
16
16
16
16
16
8
8
0
8
5
0
0
0
8
8
28
16
8
8
8
16
16
0
0
0
0
0
0
0
8
9
9
9
9
0
0
8
0
0
0
0
0
8
2
0
0
8
8
9
0
8
8
16
2
2
2
0
0
0
0
16
8
8
8
0
0
24
0
0
8
0
0
0
8
8
8
8
0
4
5
5
16
16
8
31
16
0
16
0
0
8
8
8
8
8
8
8
0
0
1
8
8
1
24
16
43
0
32
32
32
20
0
18
16
8
0
0
0
4
12
12
8
8
0
0
0
0
0
0
16
1
1
0
0
0
12
0
9
9
0
8
0
0
8
0
0
0
0
0
2
2
2
24
16
4
4
20
8
4
16
16
16
16
0
8
0
0
8
18
18
40
0
0
0
16
16
16
36
2
2
1
0
0
0
0
8
20
4
16
0
0
8
16
8
8
8
8
8
8
0
0
8
8
8
41
41
0
0
0
8
0
0
0
8
8
0
0
0
0
26
0
0
1
0
0
10
54
27
0
0
0
0
0
0
1
8
4
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
16
0
8
8
0
0
0
0
16
16
16
0
32
16
16
0
0
1
1
1
0
0
0
8
8
16
8
4
0
0
0
0
9
0
8
8
8
16
8
8
32
32
0
8
8
8
8
0
0
1
1
1
1
1
1
0
0
24
17
1
1
12
0
8
16
0
16
8
8
2
16
4
0
8
8
8
0
20
1
32
32
32
32
8
16
0
0
16
0
0
0
0
0
0
0
0
1
0
0
1
1
8
8
16
16
16
0
0
0
0
8
8
8
0
11
0
0
0
0
8
16
16
16
16
8
4
0
0
0
0
0
0
0
0
22
0
2
2
8
0
8
0
4
0
0
16
16
16
20
0
2
2
24
0
0
0
4
4
0
16
16
16
16
0
0
0
16
16
0
1
0
4
32
8
8
8
8
16
2
16
8
8
21
16
8
9
9
9
8
0
0
8
8
8
0
0
0
4
0
24
8
0
0
0
0
8
0
0
0
8
8
8
8
8
2
1
4
0
17
17
4
4
8
0
0
0
0
0
2
2
0
0
0
0
0
16
0
0
8
24
1
4
16
26
10
0
6
0
16
16
16
16
0
9
0
0
0
8
8
0
0
0
8
8
8
1
28
0
0
8
4
0
24
1
8
8
8
8
1
1
0
0
0
0
0
0
16
16
0
8
0
0
1
1
1
1
8
0
8
8
24
0
4
8
8
0
0
0
0
1
16
8
0
8
0
2
0
4
4
18
18
5
8
0
0
0
16
16
17
1
1
1
1
8
0
0
0
32
0
0
1
1
16
16
4
4
4
4
16
0
16
0
0
0
0
0
0
8
0
8
8
8
4
0
2
0
0
16
0
0
0
0
0
0
0
2
2
2
2
2
1
32
0
0
0
0
0
0
0
2
2
2
8
8
8
8
0
0
8
8
0
0
0
0
0
0
0
0
8
16
2
2
16
16
16
8
0
0
0
0
0
0
0
4
0
32
8
16
8
8
8
8
16
16
0
0
0
4
0
0
8
0
0
16
16
4
0
0
16
52
0
0
16
16
8
0
8
5
5
16
1
1
16
6
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
9
8
0
0
48
1
8
4
0
1
0
0
0
0
0
2
2
8
0
0
12
0
0
0
0
8
8
11
0
0
8
8
28
28
28
33
0
0
0
8
8
24
0
0
0
0
0
0
0
0
8
37
16
8
10
0
0
0
0
0
0
0
18
20
22
22
22
22
2
0
0
16
16
0
0
0
0
0
16
8
8
0
0
0
0
16
16
6
6
6
16
1
1
1
9
1
20
28
16
0
0
16
16
16
0
0
8
0
0
0
16
0
0
18
4
0
16
16
54
54
54
0
4
8
8
16
16
0
0
30
30
16
0
0
0
0
0
0
0
24
24
24
33
33
16
8
16
16
8
8
8
8
8
8
8
8
16
2
8
0
16
16
16
0
0
0
0
8
16
0
0
8
1
25
4
4
4
4
4
4
4
4
4
4
4
4
0
0
0
0
0
0
0
0
0
0
16
16
0
8
8
8
8
8
0
0
0
1
0
0
57
1
1
1
0
8
16
8
24
0
8
8
8
0
0
8
16
16
20
20
0
0
0
0
0
0
0
2
2
2
2
2
2
2
0
0
0
16
1
1
0
16
0
0
16
16
16
40
0
0
0
0
8
16
60
1
2
0
4
4
0
2
2
2
2
0
8
8
8
8
8
8
8
16
16
0
0
4
4
16
8
8
16
16
16
8
2
2
8
0
24
24
0
0
0
8
8
8
8
8
0
0
0
0
4
17
17
17
26
0
24
0
0
0
0
0
0
16
0
0
0
16
16
16
16
16
0
0
0
0
16
16
8
0
0
16
8
9
9
16
8
2
24
24
8
0
16
16
16
16
16
16
16
9
6
6
0
16
16
0
8
0
0
0
24
0
24
0
0
0
16
0
4
20
1
0
0
0
0
8
8
0
0
24
16
16
18
16
0
0
0
16
0
0
8
16
16
0
0
0
0
16
16
0
16
0
16
0
0
0
8
8
0
0
16
28
24
0
16
16
16
32
32
1
0
4
4
0
44
8
8
0
0
0
4
0
16
16
16
0
16
4
0
30
30
0
0
8
8
8
8
4
0
0
0
0
2
2
8
8
8
8
8
8
8
8
8
2
4
0
0
0
0
4
4
0
0
0
0
0
25
25
25
25
25
25
24
16
0
0
0
0
0
8
8
8
8
8
0
0
0
0
16
16
16
8
8
8
8
8
8
8
8
2
8
16
16
16
0
8
0
1
8
0
8
8
1
1
1
4
8
19
19
0
2
2
8
8
16
4
4
4
4
16
16
0
0
0
0
0
8
4
0
24
24
24
24
0
0
5
5
5
0
0
0
16
9
0
0
0
0
0
0
0
32
0
4
4
4
4
0
0
0
4
8
8
0
1
0
0
8
12
0
0
0
8
8
8
12
12
12
0
1
1
16
8
8
4
4
2
2
8
8
0
16
2
4
16
16
17
17
0
0
8
16
16
0
8
0
0
0
1
0
0
0
0
16
16
16
8
8
8
8
16
2
0
28
16
16
0
8
0
4
4
4
4
4
4
4
4
0
2
2
8
16
16
24
0
0
12
8
0
16
16
1
16
16
0
8
32
24
24
8
0
0
0
0
8
32
12
12
12
12
4
5
0
0
0
8
24
24
16
4
4
4
0
16
0
32
0
17
0
1
8
8
8
0
0
16
8
2
2
40
0
0
37
0
0
0
0
0
0
0
8
8
16
16
0
8
0
0
4
4
16
0
0
4
0
1
1
0
0
0
0
0
8
8
4
0
0
0
8
0
0
0
0
0
0
2
2
0
8
8
20
8
8
4
0
0
8
4
0
18
7
1
0
16
16
16
33
8
8
16
0
8
8
8
0
8
24
24
16
16
16
16
16
4
8
8
8
2
8
0
0
1
8
8
8
34
34
34
34
34
34
34
16
0
0
0
0
0
6
4
8
24
24
2
1
8
0
0
0
9
9
0
0
0
0
0
0
8
8
8
0
0
16
16
16
16
16
0
0
0
0
0
0
0
0
0
0
0
24
8
8
0
8
8
4
4
4
0
0
8
24
8
0
0
0
0
0
0
0
8
9
1
0
0
4
0
8
8
8
8
8
16
16
0
0
4
4
0
0
8
1
16
16
12
1
3
3
2
0
0
0
0
0
8
0
0
8
16
0
16
0
0
0
0
0
8
0
0
0
8
4
4
8
8
8
0
1
0
8
8
8
0
0
8
0
0
0
0
16
12
12
12
0
0
8
16
16
16
16
0
8
1
16
16
16
16
16
16
16
16
0
0
8
4
0
0
0
16
1
0
0
0
0
0
0
0
0
0
16
8
8
0
32
0
2
2
8
16
2
8
8
0
8
0
0
0
18
0
0
0
0
0
1
18
18
0
0
0
40
0
16
0
0
2
2
2
16
0
12
16
0
8
8
8
8
8
16
4
0
0
0
8
8
18
18
2
0
0
4
4
0
0
1
0
0
0
9
9
9
57
0
0
0
1
0
0
16
16
17
8
0
16
16
0
24
0
0
9
16
8
8
0
1
1
0
0
0
0
16
16
8
16
4
4
40
32
32
32
0
0
9
25
0
0
0
8
8
8
4
4
16
0
16
16
16
0
8
0
16
16
8
26
18
18
2
12
12
8
8
0
0
0
0
16
16
16
8
0
8
8
0
0
16
1
18
1
16
0
18
1
1
4
0
16
0
0
25
25
25
8
8
26
26
0
0
0
8
8
8
8
32
0
0
16
0
16
0
24
24
24
0
0
16
0
8
8
8
0
0
9
9
16
8
8
0
0
0
8
32
0
0
0
8
8
8
1
1
1
8
8
8
8
8
8
8
8
8
32
0
0
0
4
0
0
0
8
1
1
8
0
32
32
0
4
16
16
0
1
8
0
16
0
16
16
0
8
8
4
0
16
16
16
16
8
8
8
8
0
0
0
8
0
0
0
0
0
16
8
8
8
8
1
1
1
8
0
0
0
8
20
16
0
0
8
5
1
6
6
6
6
6
6
16
16
0
0
0
0
8
0
0
8
0
0
0
1
0
8
8
8
12
8
0
16
16
4
0
8
0
0
8
8
8
8
8
4
4
4
4
0
8
29
29
4
0
0
0
8
8
0
8
0
4
4
4
2
8
8
8
8
8
0
0
8
0
8
8
8
8
8
8
1
16
4
4
16
0
0
0
0
1
28
28
4
1
16
16
8
2
0
0
0
0
0
0
16
0
8
8
8
8
0
4
4
4
4
40
8
8
0
0
8
8
8
0
16
16
16
0
0
32
0
0
8
8
1
16
0
4
0
0
0
1
1
0
4
8
8
0
4
4
4
4
6
0
16
0
4
24
8
1
4
4
8
0
0
4
4
0
8
1
1
4
4
0
0
0
8
0
4
4
16
18
18
18
8
8
8
0
8
1
1
1
16
16
0
0
0
8
8
8
16
0
0
0
0
0
1
0
24
8
8
0
0
8
8
0
8
8
0
0
16
0
0
0
3
1
0
0
0
0
0
16
0
0
8
8
8
8
8
0
0
36
16
16
24
16
16
16
4
16
16
0
8
8
9
9
0
0
0
0
0
0
16
16
16
16
0
0
4
8
8
17
0
4
4
16
16
16
8
24
24
0
1
20
0
16
0
0
0
1
1
0
16
8
8
0
8
0
4
8
8
16
16
0
0
0
0
0
0
0
0
36
36
62
30
30
30
10
0
0
0
8
8
13
8
0
0
8
28
28
0
8
0
0
0
16
0
0
0
0
0
0
2
2
2
56
0
0
0
0
8
0
0
1
1
8
0
0
8
8
0
0
0
16
8
8
25
0
0
16
0
0
0
8
8
8
16
0
0
0
16
8
5
13
5
16
12
12
8
0
0
0
16
2
2
2
0
16
0
16
24
2
2
2
16
8
16
0
0
16
16
0
1
0
16
0
16
16
16
16
16
16
1
1
16
8
8
8
8
16
8
8
9
16
16
0
4
4
0
4
0
0
1
1
0
0
16
0
0
8
2
0
0
0
8
8
8
0
8
2
4
0
2
2
0
0
16
16
16
16
16
2
2
5
8
8
1
1
8
3
0
0
18
16
16
0
16
8
16
8
0
0
32
32
32
32
0
0
8
1
8
9
0
0
8
0
0
0
16
16
8
8
16
16
32
0
0
16
4
0
8
16
16
16
0
1
1
16
16
16
16
16
0
8
8
8
8
2
2
2
10
8
0
0
0
0
8
0
1
16
16
4
0
10
10
10
0
32
4
4
4
4
4
16
8
0
0
0
0
16
0
0
0
0
16
2
2
4
0
0
0
8
0
0
0
12
0
0
8
8
16
16
16
0
5
3
3
16
16
2
2
2
16
24
16
0
8
16
8
8
8
8
16
16
16
0
0
0
8
4
4
8
16
16
8
8
8
0
0
16
16
1
0
16
16
0
0
0
20
16
16
0
1
5
8
0
20
20
0
0
8
0
16
16
4
4
4
0
16
16
8
16
16
16
24
24
0
4
3
3
3
8
16
16
8
0
8
2
0
0
0
8
0
0
0
0
0
0
2
0
0
0
1
16
40
0
0
8
8
0
8
8
0
0
8
8
1
0
17
17
1
14
0
0
0
0
0
0
0
21
16
4
6
6
16
0
8
8
8
0
16
16
16
16
0
0
8
8
8
8
8
8
8
16
0
0
8
8
32
20
16
8
16
4
16
34
34
34
34
8
8
0
0
1
1
17
0
0
0
16
1
8
0
8
0
0
0
0
0
8
8
4
4
4
4
0
0
0
0
2
0
8
0
0
0
2
32
8
8
8
8
24
24
0
0
4
4
16
2
18
0
4
0
8
16
20
20
20
0
16
8
0
16
0
0
33
16
16
16
18
0
0
8
8
8
0
12
8
8
8
2
8
8
24
0
19
1
1
16
8
0
0
0
9
9
0
0
32
0
6
6
6
2
16
16
24
24
24
1
0
8
8
8
0
0
16
16
16
20
16
0
0
16
25
8
1
16
2
17
17
16
24
24
24
4
8
8
8
8
32
32
0
0
0
0
0
16
16
8
0
0
4
4
4
4
4
8
1
1
1
0
10
32
32
16
8
16
16
16
8
0
0
32
32
0
0
0
41
2
8
0
0
0
40
32
32
16
0
16
0
0
4
4
0
0
0
0
0
24
1
1
16
0
0
0
32
32
16
16
8
8
8
16
8
0
0
0
0
0
0
0
0
0
8
1
8
8
8
8
1
8
2
0
0
0
8
8
8
0
8
0
8
8
0
4
0
0
0
0
0
0
8
9
8
8
8
8
8
20
0
0
8
8
2
2
2
2
0
16
0
8
4
8
16
16
2
1
1
8
8
8
8
8
16
0
0
0
8
8
8
0
0
8
16
4
4
16
17
16
16
16
16
16
16
0
8
24
0
8
8
8
8
0
1
16
1
1
1
1
0
0
0
8
0
0
0
0
0
2
8
8
8
8
0
0
0
8
8
8
0
8
8
8
1
1
0
0
0
12
12
32
32
20
0
18
18
8
0
16
16
0
8
0
8
24
24
0
0
0
0
1
1
2
2
2
2
2
24
8
16
8
8
8
8
8
0
0
0
0
0
0
4
4
4
4
0
16
16
8
24
0
0
0
8
4
4
9
1
1
1
1
1
1
1
1
1
16
6
4
4
16
8
28
28
0
0
16
6
6
2
2
2
2
2
2
8
8
0
0
0
8
20
20
20
17
16
0
0
0
16
2
8
1
20
32
2
0
9
16
16
16
0
0
16
6
6
0
0
0
52
2
16
0
0
0
0
0
8
24
24
0
16
18
0
0
0
0
0
0
0
8
0
8
0
0
0
1
1
0
0
0
8
8
8
8
0
8
8
1
16
16
8
8
16
0
8
8
0
0
8
0
8
8
8
8
16
16
20
1
8
8
8
8
8
0
0
8
0
40
48
16
8
8
32
32
32
32
0
0
16
16
16
16
8
8
12
0
1
1
1
1
0
4
4
4
8
0
0
8
2
14
16
30
16
16
16
16
0
0
0
32
32
36
32
12
12
12
12
8
8
0
1
16
16
0
0
0
8
8
48
48
48
48
48
0
16
16
0
0
1
8
2
8
8
8
16
16
16
16
16
8
16
8
8
8
8
8
8
0
32
32
16
0
2
2
2
2
2
16
2
1
26
26
8
0
0
4
4
16
16
2
2
8
0
0
0
0
0
0
0
0
8
8
0
0
8
2
0
0
0
0
0
0
8
4
1
0
16
16
1
26
26
12
12
0
9
0
0
8
16
16
0
8
0
32
17
27
0
0
0
8
0
0
0
2
0
28
28
0
0
0
8
8
4
4
32
32
32
8
8
0
0
0
0
0
0
1
1
0
16
16
0
0
0
16
0
40
4
4
4
0
0
0
4
8
8
0
56
16
16
8
8
0
0
16
0
8
8
1
40
16
16
16
16
0
8
4
16
16
8
8
0
0
8
2
2
24
16
16
0
2
2
2
2
2
2
2
16
0
0
0
0
0
0
0
8
16
16
24
1
8
8
8
8
8
8
8
0
8
0
0
0
16
4
0
0
0
0
0
16
16
25
0
0
16
0
1
0
0
0
0
0
16
0
6
0
0
0
0
0
32
16
2
0
16
16
16
8
8
8
0
16
0
1
32
32
32
0
0
16
16
0
8
9
9
4
4
4
0
0
0
0
0
0
16
0
0
1
16
0
16
0
0
2
2
2
8
4
20
4
24
0
0
0
0
0
16
8
8
0
8
8
8
16
16
16
0
4
0
8
16
16
1
1
8
8
8
0
0
0
16
16
8
8
16
16
16
1
0
0
16
8
0
0
16
16
0
8
0
0
0
8
8
8
0
0
0
0
16
8
0
0
0
12
0
24
5
0
0
16
16
24
8
8
8
8
0
24
24
2
34
8
4
8
0
0
0
0
8
8
8
8
8
2
0
0
8
8
32
32
16
16
16
16
16
0
8
1
0
0
0
0
0
0
0
4
0
0
0
0
24
32
32
16
16
0
8
8
0
0
4
4
4
16
16
16
0
0
16
16
8
4
0
0
0
60
0
0
0
0
16
0
16
16
16
16
16
0
0
0
16
8
12
0
1
1
1
2
2
0
0
4
0
0
0
0
8
2
2
0
0
0
16
8
8
8
0
0
0
16
0
0
0
0
0
16
2
8
8
8
16
16
0
16
16
8
0
16
16
32
8
8
4
8
8
8
16
16
8
16
16
17
17
8
16
32
0
8
12
8
1
0
16
0
0
16
16
8
0
0
8
8
0
1
1
4
8
0
8
8
8
32
8
8
8
16
1
0
20
16
16
24
16
16
16
4
0
0
8
12
12
48
32
16
4
4
16
16
40
40
40
40
9
9
0
37
24
8
0
0
1
1
1
1
1
0
8
8
1
1
0
0
56
16
16
0
8
0
16
8
2
2
0
8
8
9
0
4
4
4
16
0
0
16
16
16
0
8
0
1
1
1
16
0
0
0
8
8
8
8
8
0
0
0
0
0
0
9
9
1
1
0
0
16
0
0
0
16
16
16
0
8
4
24
4
4
8
0
24
1
8
8
0
0
0
0
0
0
0
0
18
16
0
0
0
16
16
29
27
27
0
0
16
16
16
0
0
24
8
0
4
32
0
24
0
12
12
1
1
1
1
0
0
0
8
8
8
8
8
0
32
16
8
8
11
0
0
0
0
0
0
16
16
0
0
10
10
6
6
16
0
0
20
28
8
1
16
8
0
0
0
16
16
16
0
0
0
0
2
17
8
0
4
0
0
16
16
16
16
0
0
16
16
16
16
8
8
28
16
16
0
0
0
0
0
8
8
8
0
8
8
8
16
1
0
0
8
8
8
0
16
4
4
16
16
0
0
0
17
8
0
0
2
0
0
0
8
8
8
8
16
16
4
4
4
4
0
1
1
8
8
16
16
0
2
0
0
0
0
0
8
8
0
0
0
16
0
8
0
0
2
2
2
31
0
0
16
0
0
0
0
1
1
2
0
4
4
4
8
1
16
16
16
16
4
0
4
4
0
0
0
0
16
16
16
0
0
0
0
24
8
0
0
0
0
0
0
16
0
0
0
0
48
8
24
24
2
0
0
8
8
8
0
0
0
17
2
2
8
16
8
16
16
16
8
1
0
8
8
16
16
0
18
0
4
4
0
2
8
8
0
4
20
2
12
12
0
0
8
8
12
0
0
10
8
0
36
16
0
8
0
8
8
8
12
12
2
8
8
8
8
8
2
0
0
8
0
0
0
0
0
28
28
16
16
16
0
0
0
1
0
0
40
40
12
8
8
25
0
4
8
16
8
8
0
25
25
25
0
0
28
24
24
24
24
0
6
6
4
8
8
9
0
8
8
8
10
0
0
0
24
24
8
8
8
8
8
0
16
16
0
0
8
3
3
3
8
8
8
8
0
0
0
0
0
4
0
0
39
39
8
16
40
0
8
0
0
16
9
8
24
24
17
24
8
8
9
0
1
20
20
0
16
0
16
16
16
0
0
4
8
0
0
8
0
0
8
8
0
16
16
0
0
0
0
0
0
16
32
0
0
16
16
16
1
0
0
0
0
8
2
0
0
0
0
0
8
1
1
12
0
0
24
24
22
4
5
0
16
8
8
0
0
0
0
0
0
0
8
0
0
0
0
8
0
0
0
0
0
2
2
2
2
2
8
0
4
4
0
16
0
8
8
8
0
0
8
5
32
32
32
8
8
8
8
20
20
20
16
16
0
32
32
8
16
16
16
42
0
16
8
8
17
17
17
17
17
17
8
8
8
8
8
0
0
16
56
56
0
8
8
8
8
8
60
0
0
0
8
8
0
0
0
0
8
0
9
8
1
1
1
1
16
0
8
10
4
4
0
0
0
0
0
0
0
0
0
0
8
8
0
16
8
8
16
4
4
8
0
8
0
8
16
16
2
2
0
8
8
16
16
0
0
18
16
16
16
16
8
8
0
8
0
0
0
0
0
1
8
8
8
0
8
8
0
32
32
16
8
8
8
0
2
0
0
0
0
1
0
0
0
0
3
16
0
0
0
0
0
0
0
0
8
16
0
1
0
4
4
4
8
4
4
0
0
0
32
0
0
8
1
16
16
16
12
32
0
4
8
20
0
0
0
2
2
2
2
8
8
0
0
16
16
0
16
48
19
16
0
16
16
0
0
16
0
1
0
32
8
8
8
16
16
16
8
0
0
0
8
8
8
8
8
8
2
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
8
0
0
0
0
1
1
1
0
16
16
16
0
0
0
0
0
0
0
16
0
2
2
2
8
8
0
1
1
16
16
16
16
16
32
4
0
16
16
1
1
20
0
0
0
8
0
0
8
34
0
8
8
8
0
0
0
24
0
16
16
4
0
0
8
0
1
0
0
2
16
0
0
0
8
32
8
2
16
16
8
0
0
0
0
16
24
16
8
16
16
16
16
16
0
0
48
0
0
0
8
0
0
0
0
8
8
16
16
16
0
4
0
0
0
4
1
1
16
0
0
0
0
0
0
1
0
8
8
0
0
0
0
0
0
2
16
20
20
0
8
8
8
12
0
0
0
0
0
0
0
0
8
17
1
8
0
0
0
16
0
8
16
4
4
0
16
8
0
16
0
0
0
1
0
1
1
1
1
1
1
0
0
8
8
8
16
0
0
0
4
0
0
0
0
10
16
16
0
0
0
4
16
0
0
0
0
8
0
0
0
0
2
0
0
0
16
4
4
0
8
0
0
8
8
0
16
16
8
8
8
0
0
8
8
16
8
8
2
0
16
16
0
0
8
0
0
0
16
16
8
1
1
1
8
8
8
0
0
16
16
16
16
1
0
0
0
0
0
16
16
16
16
16
16
16
16
17
0
0
0
8
0
0
8
0
0
4
8
8
8
25
1
0
0
0
8
8
4
8
8
8
8
8
0
0
4
4
4
4
4
16
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
16
8
4
4
4
4
16
0
8
0
2
2
8
0
0
0
0
0
0
0
0
1
1
1
1
1
1
0
0
1
0
16
16
13
16
0
8
17
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
1
9
0
0
16
16
24
0
0
8
8
24
8
8
8
16
16
0
12
12
8
10
16
0
0
0
32
32
24
8
4
4
4
4
4
4
4
0
0
1
0
16
16
0
16
16
0
2
0
0
0
0
0
8
9
0
0
0
8
8
8
8
0
0
0
0
0
16
16
16
16
0
0
2
2
8
1
0
0
2
8
0
0
2
1
1
4
16
4
0
16
0
0
8
0
0
0
8
8
0
0
32
8
13
13
13
13
13
8
0
0
16
16
2
8
8
0
16
16
24
8
4
2
8
8
8
3
16
16
0
2
6
4
1
1
1
0
0
0
4
48
48
16
8
12
8
8
0
2
8
8
8
0
1
12
0
0
0
0
8
8
16
24
8
20
20
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
0
1
1
8
0
24
24
0
0
0
0
0
0
0
0
52
16
0
16
0
8
4
4
5
1
1
0
0
5
5
0
8
43
8
8
8
0
20
0
12
8
14
14
0
12
12
12
0
0
0
0
0
0
8
32
0
16
0
2
0
0
0
16
16
24
4
4
4
0
16
8
8
0
0
5
0
0
0
0
8
6
16
2
2
8
8
8
8
0
16
2
0
0
0
24
24
24
24
24
0
0
8
16
16
0
20
20
20
0
0
0
0
0
8
0
0
0
0
0
0
0
1
1
16
16
0
0
16
0
4
8
4
4
4
0
0
0
0
0
16
0
0
8
32
0
0
0
0
8
0
0
0
8
0
0
12
1
24
32
32
32
16
24
24
8
8
8
4
4
4
1
1
0
0
1
1
0
0
8
4
4
16
16
8
0
6
0
4
4
8
16
16
8
16
0
42
0
0
0
2
2
0
12
2
16
16
8
8
8
8
8
17
17
11
11
16
2
9
0
16
16
0
24
16
0
0
0
0
0
0
0
0
0
0
0
8
0
3
2
2
0
4
4
4
4
0
0
0
4
0
0
0
32
18
8
8
8
8
8
8
0
0
0
8
24
2
20
8
8
8
5
5
0
0
0
0
0
0
0
0
4
32
32
32
32
32
0
0
0
0
16
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
8
8
16
16
1
25
25
16
16
8
8
9
8
8
8
2
8
8
16
16
0
0
0
0
16
0
0
0
0
0
16
8
4
2
17
0
24
8
2
0
16
0
0
8
8
8
16
16
24
16
0
8
8
8
8
8
8
8
0
0
0
0
16
0
0
0
0
0
16
0
0
0
16
16
16
16
16
1
0
16
18
0
8
16
0
4
16
16
0
0
16
16
25
8
0
0
26
16
16
0
8
8
8
24
18
16
6
4
8
32
0
0
16
8
8
8
8
8
8
8
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
12
0
0
0
8
8
0
0
0
12
4
4
4
8
8
1
0
0
2
0
0
0
0
16
25
16
0
0
1
1
0
0
0
0
0
0
0
8
16
1
16
0
0
2
0
0
16
16
16
16
16
16
16
16
16
16
16
8
8
0
0
0
0
0
16
0
0
0
0
9
9
0
48
1
8
4
4
4
0
0
2
2
2
2
16
16
16
16
16
4
36
8
8
2
2
16
16
2
0
4
0
0
0
0
8
0
4
4
0
0
24
24
24
16
0
10
10
10
4
0
0
25
25
1
8
8
8
0
16
24
8
8
0
8
32
32
8
8
0
16
16
22
32
2
2
2
0
8
0
26
26
26
16
16
0
0
0
0
32
0
0
16
16
16
16
4
8
8
8
8
8
8
16
0
0
0
0
8
1
1
1
8
22
22
16
0
0
32
0
8
8
0
4
4
0
8
8
0
24
8
0
0
16
16
16
16
16
16
16
8
8
6
0
0
0
12
12
0
0
24
8
1
8
8
4
0
8
16
0
0
0
0
0
0
0
16
16
8
8
8
34
4
0
0
16
40
16
8
4
1
9
0
0
16
16
12
0
0
0
16
0
0
0
0
8
8
8
16
16
0
8
8
8
9
9
9
9
9
9
9
9
9
9
9
0
32
16
8
0
0
0
2
2
0
5
16
16
16
0
0
0
0
0
0
0
4
1
0
0
0
8
0
2
2
12
16
28
0
16
16
0
0
0
0
1
0
0
32
32
32
8
0
0
32
4
8
0
8
1
0
0
32
8
16
12
12
1
1
16
16
16
16
0
16
0
16
0
2
0
8
0
0
0
16
16
1
16
0
16
16
16
8
16
16
16
16
8
16
16
16
0
10
10
0
0
0
2
8
8
8
0
1
8
0
0
0
0
0
0
0
0
1
0
0
8
32
0
0
8
0
0
0
8
16
0
0
0
1
0
0
4
0
33
33
33
33
4
24
24
0
0
8
0
24
0
0
8
24
4
4
48
0
0
0
9
32
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
16
16
16
16
16
16
1
1
16
0
0
0
48
0
0
0
16
16
2
2
0
0
8
8
56
8
20
20
8
0
0
0
0
1
16
16
16
1
1
1
8
16
16
16
16
0
0
0
16
24
8
8
16
20
8
20
20
0
0
24
24
8
32
32
0
0
8
4
8
0
8
0
0
1
10
0
0
8
0
0
17
4
4
4
8
8
8
0
8
8
0
0
1
19
1
1
8
0
0
24
24
4
4
0
4
4
0
8
0
16
0
16
16
16
1
1
1
0
16
16
0
0
0
16
8
8
4
0
8
0
20
1
1
0
0
16
0
24
0
0
1
9
8
8
0
16
1
17
5
8
8
0
0
0
0
4
4
0
0
16
16
6
0
0
0
0
0
0
0
0
16
16
16
0
16
0
0
0
0
8
8
0
1
1
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
8
16
0
0
0
16
4
0
0
0
10
0
5
8
8
8
8
8
0
8
2
2
16
2
8
8
1
1
5
2
2
16
8
8
0
0
0
17
0
0
0
0
8
8
4
4
0
2
2
0
0
0
0
8
2
2
2
8
0
2
8
0
32
0
2
2
2
2
2
16
16
16
0
16
8
16
4
0
0
0
16
16
8
8
8
8
0
0
8
24
0
0
4
4
24
0
0
0
8
8
8
8
0
1
2
0
0
0
0
8
9
2
2
2
2
16
2
2
8
8
6
0
1
1
1
1
8
0
8
0
0
32
16
16
0
0
2
2
2
2
2
8
0
0
8
0
0
16
8
8
8
0
0
0
2
0
8
8
0
0
33
25
20
10
17
0
8
0
2
8
8
8
0
24
32
32
32
32
32
32
32
16
16
0
0
42
1
1
1
1
8
8
8
8
0
0
16
2
0
0
8
0
8
2
0
0
2
8
17
17
0
56
56
56
0
0
8
8
0
16
16
16
16
16
8
8
8
8
4
8
8
16
16
0
29
16
0
0
0
0
0
8
4
4
0
8
0
8
8
16
16
4
20
0
4
8
8
24
24
0
9
0
8
8
28
2
0
0
0
0
0
0
8
8
8
8
8
8
8
0
0
8
0
0
16
16
16
0
0
0
0
0
0
2
0
4
4
0
16
32
32
32
8
48
48
8
8
8
8
20
16
28
4
32
8
0
0
0
0
0
0
10
8
8
32
0
0
0
6
16
0
1
32
16
16
0
2
8
1
0
0
16
0
0
4
8
8
0
16
16
6
12
8
8
8
8
8
8
16
0
16
8
0
0
0
0
0
2
2
2
2
2
0
0
8
8
0
0
8
24
0
0
0
0
8
8
0
8
24
4
8
8
0
8
8
8
8
16
16
0
6
4
4
56
32
0
0
0
4
0
8
8
8
8
20
0
16
0
0
8
1
0
0
16
16
16
8
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
4
4
4
0
8
0
0
16
16
58
58
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
10
0
9
1
1
1
1
0
0
4
16
16
0
2
16
0
8
17
5
5
5
5
16
0
24
24
0
0
16
24
16
16
16
16
16
10
16
16
16
4
1
0
0
8
0
0
0
0
0
8
8
8
8
8
16
0
0
4
8
8
8
8
0
16
0
8
8
0
0
0
0
0
40
16
16
1
0
0
0
8
0
16
16
0
0
0
1
0
18
18
4
0
0
16
16
16
0
0
0
16
0
1
0
8
8
8
8
8
8
8
16
16
8
8
8
4
0
16
16
16
0
0
0
8
8
24
24
8
8
4
0
0
8
16
0
0
0
8
8
0
40
0
8
8
0
0
0
0
0
0
0
16
0
16
0
0
0
0
2
4
4
4
0
0
0
4
8
17
12
0
0
16
16
46
0
8
8
0
0
0
0
0
0
8
16
8
8
0
0
0
0
32
32
32
0
0
4
0
16
16
16
16
16
0
0
0
0
0
0
1
32
4
3
2
8
32
32
16
16
0
0
0
0
0
0
8
8
8
8
8
2
0
0
0
0
8
8
0
0
0
0
0
8
8
0
8
4
4
0
24
0
0
0
0
0
4
4
0
0
8
8
8
8
0
0
1
2
0
0
0
8
2
0
0
0
0
0
0
0
0
8
0
18
0
16
16
0
16
16
16
0
0
0
8
16
16
56
56
8
8
16
0
8
8
8
8
8
16
2
0
0
4
4
0
26
1
0
0
16
0
16
16
24
0
2
2
2
2
0
0
0
0
0
8
0
16
16
16
0
4
4
24
16
16
16
0
8
0
1
1
48
48
48
48
0
8
0
8
16
16
16
4
0
1
2
0
0
0
0
0
8
0
0
8
18
2
0
0
16
16
1
4
4
4
8
0
0
0
32
0
16
24
0
0
8
8
4
0
16
16
0
16
0
0
16
4
8
0
0
0
9
17
8
16
16
8
0
0
0
4
18
18
0
0
0
8
0
16
0
16
17
17
17
17
17
16
16
0
0
0
8
8
16
0
0
18
18
0
0
0
0
8
8
0
8
8
8
2
0
4
0
17
17
8
8
8
1
8
0
0
0
0
0
4
16
0
16
1
1
16
8
8
8
8
8
0
0
8
8
4
24
0
24
0
1
1
16
8
8
8
16
16
0
0
8
8
8
8
8
8
0
4
4
0
4
0
0
0
16
16
16
16
16
17
17
8
8
2
16
1
16
2
0
0
18
8
8
6
25
8
8
16
0
8
8
8
16
1
1
0
12
0
1
0
0
0
32
48
2
2
0
8
8
24
24
24
24
0
0
0
1
0
32
8
0
0
0
0
0
0
0
8
24
0
4
4
4
0
8
0
0
0
0
0
0
0
0
8
16
8
9
9
0
4
0
0
27
4
0
16
4
8
8
0
0
8
8
8
0
16
16
16
16
0
2
0
8
0
0
16
0
0
24
24
0
0
0
0
0
0
0
1
24
24
8
0
8
8
8
0
18
8
8
0
8
8
4
0
1
0
0
16
16
16
18
2
9
4
4
4
8
8
0
0
0
0
0
0
0
1
1
8
8
8
16
16
16
0
2
32
5
0
0
0
0
0
32
8
8
8
8
8
8
24
0
0
4
48
16
18
0
12
8
0
16
16
0
8
0
0
0
4
8
8
0
0
0
0
0
16
16
16
16
16
16
17
17
0
0
0
8
8
8
0
32
0
16
16
8
4
4
4
0
0
0
16
8
32
0
0
0
4
4
4
0
16
0
1
4
4
24
0
4
4
8
8
16
8
8
8
0
0
0
0
0
0
4
4
4
16
16
16
16
0
0
24
0
0
16
16
8
16
0
16
16
16
16
16
16
4
4
4
32
32
16
16
0
0
1
8
1
8
8
8
16
16
16
1
32
0
0
0
0
26
56
8
8
8
8
0
0
8
8
0
1
1
8
8
8
8
1
8
8
16
16
0
9
2
2
1
1
1
1
1
1
1
8
2
2
0
16
1
1
0
0
0
0
0
0
0
0
0
0
4
4
1
1
0
16
16
2
6
32
32
4
0
0
0
0
0
0
0
16
16
16
32
32
32
32
32
32
32
8
8
0
8
24
24
8
8
8
8
8
16
16
0
8
8
8
0
0
1
8
8
8
16
16
8
8
8
16
16
32
8
24
8
0
8
8
2
24
8
16
8
0
16
0
0
16
0
0
0
16
16
16
0
16
16
0
0
16
16
16
0
8
16
16
0
0
0
8
8
16
0
0
0
0
0
8
8
8
4
0
0
8
8
1
8
0
32
0
0
0
0
16
2
16
0
24
4
8
0
8
8
8
24
0
0
0
4
16
16
16
16
8
0
0
0
4
4
4
0
16
16
8
8
8
0
24
24
16
16
0
26
0
0
8
8
0
0
8
8
8
16
0
0
0
2
17
8
8
48
0
1
1
0
29
8
16
4
16
0
0
8
12
8
8
0
0
0
1
2
4
16
0
0
8
0
4
32
0
0
0
0
0
4
4
12
8
0
0
0
0
0
0
8
2
2
2
2
0
0
0
0
16
0
0
16
0
16
16
16
16
16
0
0
8
4
4
0
16
16
16
0
0
0
0
0
12
4
4
0
0
8
0
8
8
17
17
17
0
4
4
8
16
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
2
8
40
40
40
40
8
8
8
8
8
0
0
16
0
0
0
8
8
8
8
8
0
1
8
0
24
8
0
0
0
0
8
16
16
32
0
8
25
4
4
0
8
8
8
0
2
2
21
21
21
1
0
0
1
1
1
4
2
0
8
8
0
0
0
0
8
8
0
48
48
48
8
24
0
4
2
2
0
16
16
8
8
16
49
1
2
0
0
16
16
16
16
20
8
8
8
8
8
8
0
4
8
12
8
0
56
2
2
2
8
0
0
16
0
8
0
0
16
16
16
24
24
24
6
6
0
0
16
0
8
2
8
8
8
16
0
16
60
8
1
1
4
0
8
8
0
2
8
8
8
4
8
8
8
0
8
0
0
40
1
1
8
0
0
8
8
2
0
8
0
16
8
0
8
8
0
0
1
1
8
0
8
16
16
16
0
0
8
8
8
8
4
0
16
16
24
16
0
24
8
16
16
16
0
0
16
0
0
0
8
0
0
0
0
8
8
8
4
0
0
0
0
32
16
16
16
8
16
16
16
0
0
16
16
8
8
8
32
32
0
0
0
0
0
1
1
8
8
8
0
0
0
0
0
0
0
0
0
0
0
4
4
0
0
4
8
0
0
16
0
8
0
8
1
0
0
12
12
0
8
8
8
8
8
6
6
6
25
8
2
2
4
0
24
24
24
24
8
8
16
4
0
2
1
1
8
4
8
8
8
8
0
28
28
28
0
8
8
24
24
24
22
22
4
8
8
0
0
0
0
0
0
0
2
2
2
0
24
16
16
16
16
0
29
8
8
16
16
8
10
10
0
0
0
1
1
0
8
0
4
13
8
8
25
0
0
16
16
16
16
16
16
16
0
16
16
16
8
8
8
8
8
8
8
8
16
16
0
1
17
17
8
8
0
25
25
25
0
0
0
8
8
8
8
8
8
8
2
0
0
0
0
0
8
8
8
1
0
24
8
0
4
4
4
45
9
8
16
17
0
0
8
0
16
16
16
0
0
0
0
48
8
4
2
0
16
0
0
0
8
0
1
1
1
0
0
0
16
16
4
4
16
0
0
0
1
0
16
1
14
8
8
0
0
0
0
0
0
8
10
10
10
10
8
8
0
16
0
0
0
0
2
4
4
0
8
8
8
8
8
8
0
0
0
0
0
0
0
0
4
0
8
40
40
40
1
0
0
8
8
8
0
0
0
2
2
2
2
0
0
0
8
8
0
2
8
0
0
0
0
8
32
0
0
16
4
4
0
0
8
0
0
0
4
2
2
0
0
4
3
3
16
2
16
4
0
0
17
17
0
0
0
6
0
34
44
44
8
16
16
0
0
0
0
2
2
2
0
0
2
0
1
1
0
0
16
16
8
8
1
5
25
25
25
25
0
0
0
12
0
0
0
16
8
3
0
8
8
0
0
16
0
8
0
17
17
0
1
1
8
8
8
8
16
16
8
16
4
4
4
0
0
0
16
16
16
16
0
8
8
17
17
16
8
0
0
0
32
0
16
0
0
8
16
0
0
2
2
2
2
0
0
0
0
8
32
32
0
0
4
2
16
1
1
0
0
0
16
10
32
32
2
2
8
8
8
12
4
2
2
8
0
0
0
0
16
16
0
16
0
0
0
24
26
0
0
0
16
8
0
0
24
16
16
2
2
2
2
8
0
14
4
8
16
16
0
0
8
16
0
0
0
0
0
0
0
8
8
8
8
0
8
16
8
8
0
6
4
0
16
4
0
16
16
16
2
2
16
16
16
0
16
16
16
16
16
0
0
0
0
0
0
8
8
8
8
0
0
0
8
0
0
0
8
16
16
16
0
4
4
4
4
4
4
0
0
17
17
17
17
8
1
17
17
0
20
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
26
2
1
0
8
8
0
0
0
0
0
0
3
0
8
8
6
4
0
0
0
0
16
0
16
8
0
0
0
0
0
16
16
16
16
8
4
8
0
0
0
0
41
3
8
8
0
9
16
0
0
34
0
0
0
16
16
16
16
16
16
8
8
8
1
1
0
0
2
12
12
16
8
24
8
8
0
16
6
16
16
8
0
0
0
0
0
1
8
8
0
24
0
29
0
0
8
17
8
8
8
8
8
0
8
0
0
0
0
0
8
8
0
16
16
0
8
8
2
12
0
8
8
0
4
16
25
28
16
16
0
0
0
32
32
0
0
0
0
0
0
0
0
0
0
2
2
0
0
0
0
1
1
1
1
1
8
17
0
16
0
4
4
4
4
4
4
8
8
0
0
4
10
0
4
8
4
0
0
0
0
0
32
0
22
10
0
0
8
2
0
0
0
16
1
1
16
0
32
32
32
0
17
2
2
0
8
8
8
8
0
0
0
0
0
2
0
8
2
0
0
0
0
0
4
32
32
8
16
24
0
16
0
0
0
0
16
8
0
0
0
0
0
0
0
0
0
0
0
16
0
8
16
16
16
0
0
16
16
16
40
8
0
0
0
0
16
0
24
48
0
16
24
0
0
8
16
16
16
0
0
6
0
0
0
16
16
16
8
0
8
16
4
4
4
8
0
0
0
17
32
32
32
32
5
5
5
0
0
1
1
1
1
1
8
2
2
8
8
8
16
16
16
8
0
16
16
5
5
8
8
24
0
0
0
0
0
8
2
2
2
26
26
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
20
20
20
20
20
20
0
9
0
0
0
0
0
16
0
0
16
16
0
16
16
1
1
0
0
0
0
0
0
0
16
0
0
16
9
0
8
8
0
9
0
0
0
16
16
8
2
4
4
0
0
0
16
1
1
9
9
41
16
16
0
0
4
37
37
37
0
8
0
0
0
0
0
0
0
8
8
0
1
1
1
16
16
0
16
0
0
0
0
0
0
0
4
4
0
16
16
2
0
0
8
4
9
9
8
4
4
2
0
16
16
16
16
16
16
0
48
16
16
16
16
8
8
16
0
0
0
0
0
8
8
16
4
0
0
0
16
0
16
16
16
8
8
0
16
16
16
16
0
1
1
0
5
5
0
0
0
0
0
16
16
16
0
16
16
16
8
8
10
10
10
10
0
16
33
0
0
8
8
0
0
0
0
0
8
8
0
0
0
0
12
24
24
16
4
4
8
0
8
0
0
8
0
0
4
0
0
4
0
0
0
0
2
2
4
4
4
4
4
4
0
32
32
8
8
8
0
1
1
1
1
0
8
16
12
8
8
2
2
0
0
9
28
1
0
0
36
32
24
8
0
4
16
8
8
8
16
16
16
16
4
0
0
0
0
0
0
0
2
2
12
1
25
0
0
0
0
0
8
0
0
0
0
4
4
4
4
0
0
20
20
16
0
0
0
0
16
16
0
8
4
0
0
1
0
0
0
0
0
16
8
4
8
8
8
8
0
0
0
0
0
16
0
8
0
0
3
0
0
16
1
8
0
16
0
0
16
2
0
18
18
0
0
18
0
16
8
0
0
0
0
2
2
16
0
0
1
0
8
0
0
0
8
16
8
0
0
0
8
8
8
8
16
16
8
0
0
0
8
8
32
32
32
0
0
16
16
16
48
6
2
18
0
0
16
16
16
32
32
32
22
22
22
22
22
0
2
0
0
0
16
8
0
16
16
16
16
16
8
8
16
1
5
5
5
8
8
8
8
8
8
8
8
8
8
8
0
0
16
16
16
16
1
0
0
0
0
9
0
0
0
0
0
0
8
0
8
0
32
32
32
16
16
16
16
1
1
1
0
0
0
0
0
0
0
8
8
16
16
19
12
19
16
16
16
16
8
2
0
8
8
1
8
56
4
4
4
8
8
8
0
0
0
34
0
0
4
8
8
24
8
8
8
8
0
0
8
0
2
16
16
16
32
0
16
8
8
0
0
0
16
16
6
0
0
0
9
9
9
8
0
0
0
0
0
0
0
0
8
8
8
18
0
4
4
0
0
4
1
0
24
17
0
0
0
6
6
2
2
0
0
0
8
4
4
8
8
0
0
16
0
26
26
26
8
16
8
8
20
20
4
20
0
0
0
1
1
1
0
16
0
8
0
0
0
0
0
16
16
0
4
2
1
0
16
16
16
8
8
8
0
4
1
1
1
16
30
26
8
0
2
2
0
0
2
2
2
16
16
16
16
0
16
0
0
0
4
4
4
0
0
0
0
9
4
0
8
8
16
16
16
8
24
24
52
52
52
52
16
16
0
0
0
8
16
8
16
1
0
1
22
6
22
22
0
4
0
8
8
0
8
8
0
4
8
8
8
8
0
0
17
17
17
8
8
8
0
0
0
0
0
16
0
0
0
14
14
8
0
1
16
0
0
0
0
16
8
8
8
8
16
16
0
0
0
8
0
24
12
8
1
9
0
0
0
16
0
8
8
0
16
18
0
0
0
4
24
0
8
16
1
1
8
8
16
32
8
8
8
32
16
0
0
0
0
0
16
0
10
8
0
0
0
2
2
16
0
0
16
8
8
0
2
4
8
16
16
8
24
12
8
8
17
4
4
16
16
8
8
8
8
8
8
8
8
16
2
2
0
8
18
0
16
16
0
4
4
4
16
1
1
16
32
0
8
0
17
16
16
16
8
16
8
0
12
8
8
0
0
0
17
16
30
8
8
4
4
16
48
4
4
4
4
20
16
16
0
24
17
0
0
1
1
8
8
8
16
4
4
4
16
0
0
1
16
0
0
0
0
0
0
8
0
24
16
4
4
9
2
16
16
16
0
0
0
0
5
0
16
16
16
8
8
8
16
16
9
9
16
8
0
0
0
0
0
8
8
8
8
0
0
0
0
2
16
16
16
8
8
4
0
0
8
0
24
24
0
24
24
1
4
8
1
1
8
8
8
2
0
24
48
8
8
24
24
16
0
0
0
0
16
1
1
1
0
0
0
0
16
16
16
16
16
16
16
16
16
16
16
16
0
4
4
1
8
2
2
34
0
8
8
0
2
16
32
4
2
0
0
0
0
0
1
8
16
16
16
4
17
34
24
24
24
0
0
0
0
0
8
8
0
0
16
0
0
0
0
0
0
0
0
0
2
16
16
16
4
8
8
0
0
24
24
0
8
0
0
0
8
8
8
32
16
16
8
8
16
0
0
0
0
0
2
8
16
0
16
16
0
8
0
8
8
2
0
0
0
0
2
2
2
16
8
32
32
32
0
0
24
24
0
0
4
49
16
20
8
0
8
16
0
16
8
0
4
8
0
4
4
4
4
16
8
0
0
16
16
0
8
8
40
40
40
40
40
8
8
8
8
8
8
8
8
8
8
8
16
16
16
16
24
24
0
8
8
8
8
8
0
0
8
4
4
0
0
16
16
0
0
16
0
16
0
0
8
1
0
16
16
8
0
0
2
2
4
0
0
0
8
0
0
32
4
16
16
16
16
0
0
0
0
0
6
8
24
8
16
8
0
4
0
0
8
1
8
8
16
0
0
0
0
0
1
4
8
0
0
0
0
1
8
8
8
4
8
9
16
16
4
16
16
16
8
5
0
0
19
0
0
32
0
8
8
4
4
28
0
1
0
0
0
0
0
0
8
20
20
8
0
0
0
8
0
0
0
0
6
6
2
0
2
8
8
16
24
8
0
16
16
16
16
16
16
0
0
4
8
8
16
16
8
8
0
4
0
0
8
8
8
0
32
16
0
0
0
0
18
4
16
4
0
8
0
4
4
16
16
8
0
0
0
32
32
0
0
0
4
0
0
0
0
8
0
0
0
16
0
0
0
0
0
0
0
0
0
2
2
0
0
16
4
0
0
0
0
24
24
0
0
0
0
0
8
4
4
4
0
16
2
2
2
2
4
0
0
0
0
0
0
0
28
28
0
0
0
0
0
0
0
0
0
0
0
8
17
17
0
0
0
0
0
0
8
8
8
8
0
0
8
0
8
8
8
8
0
8
8
8
0
0
0
0
24
0
0
0
8
0
0
4
0
0
0
1
1
0
4
4
0
0
0
1
8
8
8
2
16
16
16
16
16
0
0
0
6
0
5
5
0
0
0
0
0
0
16
2
2
2
2
8
0
0
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
28
16
0
8
8
8
8
8
0
0
4
24
4
4
0
0
0
4
4
4
0
33
33
2
0
8
8
8
8
16
8
0
0
0
8
48
0
16
16
8
0
2
2
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
25
1
16
30
30
16
0
0
4
0
0
1
1
8
16
0
1
16
2
2
2
0
25
0
0
1
16
16
8
0
1
16
0
0
0
0
0
0
0
0
0
8
24
1
0
16
6
8
17
17
8
0
0
0
1
4
0
8
8
0
0
8
8
8
4
0
16
16
16
0
0
0
0
8
16
0
16
16
16
42
0
8
8
37
18
8
4
1
1
16
8
0
16
16
10
10
10
10
10
16
16
0
0
0
0
0
0
0
8
2
2
8
4
8
12
0
0
0
0
8
8
8
8
0
16
16
8
4
4
8
0
8
0
0
24
8
8
16
16
16
0
8
8
8
8
8
16
16
0
0
0
32
32
32
32
32
2
0
0
16
24
8
8
0
0
8
0
0
0
0
0
0
0
0
16
0
0
0
0
0
48
48
8
8
8
8
8
8
48
48
1
16
0
1
49
32
16
16
0
28
0
0
16
16
16
16
0
0
16
0
20
0
0
18
0
0
0
0
0
0
0
0
1
1
0
4
4
32
0
1
4
1
1
0
4
0
0
8
8
8
8
0
0
33
1
0
0
28
28
28
28
28
0
1
0
0
0
4
16
0
0
0
4
0
24
8
19
19
2
17
0
0
32
32
8
16
0
0
16
16
4
8
1
1
0
0
32
0
2
16
8
8
0
0
0
0
16
16
0
0
16
16
16
0
4
4
8
24
0
16
16
0
16
16
16
16
5
0
0
0
4
4
2
18
18
16
0
0
0
8
8
16
24
0
0
0
0
16
16
8
0
8
16
0
0
16
0
0
0
2
16
16
8
4
4
4
4
4
4
4
0
0
16
4
8
16
0
4
4
4
4
16
1
0
0
4
8
8
8
0
0
8
8
8
8
8
0
16
0
4
0
0
0
4
8
0
0
0
8
4
0
0
0
0
0
0
0
0
8
8
0
16
8
8
1
0
0
0
0
8
8
0
0
0
0
16
8
0
0
0
0
0
0
2
16
16
0
16
8
9
1
10
0
0
0
0
0
0
8
2
8
8
8
0
0
0
0
0
0
0
16
0
0
0
4
8
0
0
0
0
21
8
8
16
8
0
0
1
1
0
1
0
0
4
4
0
0
0
0
0
16
16
16
16
8
0
0
0
8
8
8
8
8
8
0
0
8
16
1
16
16
16
16
16
16
16
16
0
12
12
1
1
48
48
48
4
8
32
32
32
0
8
0
8
1
8
8
8
16
8
8
8
9
9
1
0
24
16
33
16
8
0
24
0
0
24
24
16
20
32
0
0
0
0
4
0
8
8
8
8
8
4
4
0
0
2
0
0
0
0
0
16
16
41
8
8
2
2
2
16
16
2
0
0
0
0
1
1
8
8
16
0
0
32
4
1
1
1
8
48
48
4
1
1
0
0
0
32
24
16
0
0
0
8
0
0
0
0
1
4
16
0
8
0
0
34
8
8
16
16
16
0
0
0
0
0
0
16
24
0
8
0
16
16
24
0
0
0
0
0
0
24
8
24
24
24
0
0
0
0
0
0
0
0
8
0
0
0
0
16
4
0
0
0
4
32
32
0
0
0
0
0
0
0
0
8
20
0
0
16
8
0
0
0
0
0
4
4
0
4
12
12
12
12
12
24
24
4
4
4
0
32
8
2
2
2
2
2
8
0
0
0
0
0
16
0
4
8
16
0
0
0
0
0
0
0
8
16
16
16
16
16
16
16
16
16
0
0
0
6
4
8
8
24
0
0
0
0
4
0
0
0
0
0
0
0
0
4
0
0
0
20
20
20
0
0
0
0
4
8
40
40
40
40
40
40
16
8
8
8
0
8
0
5
8
0
0
0
0
40
8
8
33
33
0
0
0
0
0
26
0
0
1
1
0
0
8
0
8
8
8
0
0
0
2
2
4
4
4
8
1
1
4
4
16
8
8
0
16
0
0
16
0
8
8
8
0
34
8
0
8
8
16
16
8
0
2
1
8
16
0
8
12
0
8
0
8
0
0
24
14
14
14
0
0
16
2
0
16
16
0
8
16
16
0
0
0
12
12
12
12
12
0
0
8
0
0
0
16
16
16
16
0
0
16
9
8
8
8
8
0
16
16
0
0
0
16
0
0
8
0
0
0
0
16
16
16
10
16
0
0
0
8
8
8
8
8
28
28
0
16
16
4
2
2
2
16
0
16
16
16
2
2
2
17
0
0
0
0
0
0
4
10
10
16
16
16
16
0
0
0
8
0
0
16
0
1
8
8
14
14
14
0
1
4
8
0
4
16
1
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
24
0
4
4
0
8
0
8
8
8
8
8
8
0
0
0
2
2
2
17
0
1
1
1
1
1
12
8
0
8
0
0
16
16
0
0
0
16
16
0
8
8
8
8
0
0
0
0
32
20
0
4
8
8
4
8
8
8
0
9
9
40
16
16
8
8
8
8
0
2
2
4
18
0
12
10
8
8
0
0
0
21
2
2
1
0
1
8
0
0
8
8
8
8
4
4
0
0
0
2
16
16
16
16
0
16
0
8
8
0
0
1
0
8
0
2
0
8
0
0
0
0
8
8
0
8
8
2
16
0
0
16
16
8
8
8
8
8
9
16
32
32
8
4
4
0
14
0
8
0
8
0
0
2
0
0
0
0
0
0
0
0
0
0
2
0
16
16
16
32
32
16
4
8
0
16
0
48
48
0
1
8
1
8
0
0
8
8
0
0
0
0
0
16
0
0
8
8
0
0
0
16
8
17
16
0
1
0
16
2
2
2
0
48
8
0
16
0
16
8
8
0
0
16
16
16
16
16
16
16
16
16
16
2
2
1
1
0
1
1
1
1
1
1
1
1
22
16
16
6
6
6
6
6
10
10
32
16
1
8
8
8
8
8
8
8
8
0
16
16
1
16
16
0
8
8
0
0
0
0
0
16
0
0
0
4
4
0
0
26
0
8
25
25
25
4
4
4
4
0
0
0
8
8
0
40
0
0
16
16
16
16
16
16
8
8
0
0
0
0
3
0
0
0
8
0
4
4
4
0
0
0
0
0
0
0
0
0
8
32
8
0
16
16
8
8
16
3
3
3
3
1
8
24
2
2
0
8
1
0
0
0
0
0
0
0
16
0
16
8
0
1
0
0
25
1
1
1
8
8
8
0
8
1
9
1
32
32
4
6
4
2
1
0
0
0
0
4
0
0
8
8
8
4
4
4
4
4
0
0
0
0
0
8
17
16
16
18
18
18
18
16
2
2
2
0
0
16
16
0
0
0
0
0
0
1
8
0
0
4
4
4
4
4
4
4
4
8
8
16
16
16
16
16
16
16
16
16
16
8
0
0
0
16
0
0
0
0
0
0
32
32
40
4
4
8
8
8
8
0
0
0
16
8
8
0
0
0
0
8
8
0
0
0
8
8
0
0
0
0
0
16
16
9
16
16
8
8
8
8
8
16
16
8
8
1
1
8
8
16
5
5
24
24
10
10
12
8
8
0
0
0
16
16
16
16
0
0
16
4
16
16
0
0
2
2
4
8
4
4
4
0
8
0
0
0
4
0
16
0
0
8
8
0
16
8
32
4
8
0
8
8
18
0
0
0
8
0
0
2
2
0
0
0
12
12
12
0
8
8
0
24
24
24
0
16
16
16
0
0
8
0
0
33
41
8
0
16
8
8
8
0
8
8
16
16
16
32
32
8
8
8
0
8
0
8
0
0
8
0
0
20
0
32
0
0
2
2
16
16
0
16
16
0
8
0
0
0
8
8
16
32
1
1
1
8
0
0
0
0
0
0
32
0
0
4
4
4
0
8
24
16
0
0
0
0
0
12
12
12
12
21
0
8
8
0
16
1
1
0
0
1
2
2
1
1
1
1
0
0
8
0
0
0
0
1
0
0
17
16
16
16
16
16
8
8
8
8
0
8
0
24
8
0
16
1
1
1
0
0
0
8
0
0
0
0
8
8
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
13
13
13
13
0
0
18
0
16
16
16
0
0
0
0
0
0
4
9
2
2
16
8
8
8
0
0
0
0
56
56
1
8
8
8
8
8
5
0
0
8
8
0
0
16
16
16
1
0
32
8
0
0
16
4
1
0
0
0
0
0
0
0
4
2
2
9
16
16
0
0
0
2
0
0
0
8
0
16
16
0
0
2
8
8
8
0
0
0
16
16
0
0
0
0
0
0
0
1
0
2
2
16
0
8
4
0
0
0
0
0
0
0
4
24
8
2
2
1
1
0
0
8
8
0
24
0
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
8
0
2
0
0
8
8
8
8
16
16
17
17
8
8
8
2
2
24
16
0
0
8
8
0
0
1
16
1
8
8
8
8
8
0
8
8
8
16
0
0
8
0
24
0
0
2
16
16
0
0
8
8
25
25
25
0
0
0
0
0
4
4
4
24
24
24
4
12
21
1
8
8
8
24
0
0
16
2
2
24
0
0
1
1
40
5
0
0
32
32
0
0
0
0
0
2
8
0
0
0
0
0
16
16
16
16
16
0
8
8
8
8
8
1
0
0
0
0
0
0
0
0
8
0
8
8
8
16
0
20
0
0
16
32
32
32
32
16
0
6
17
8
8
8
8
0
0
32
24
24
24
0
20
20
0
8
28
20
16
8
0
0
0
8
16
0
0
20
2
0
0
0
0
0
8
0
8
1
4
0
25
8
16
16
16
0
8
8
8
8
8
0
24
8
8
8
8
8
8
24
8
8
0
4
0
0
2
2
2
2
2
2
16
16
16
0
0
0
24
0
0
32
16
0
0
0
0
0
4
4
4
4
4
2
2
2
2
0
0
0
0
0
8
8
8
0
0
0
0
16
16
16
0
8
0
4
0
0
0
0
2
2
0
0
8
8
8
8
0
8
0
0
8
8
16
16
2
2
0
0
0
0
0
4
8
8
0
0
0
32
1
1
1
0
1
1
16
0
0
0
1
16
0
0
6
0
0
9
8
16
16
0
2
2
0
4
0
0
0
0
0
0
0
0
8
8
0
0
1
1
1
1
8
8
0
0
18
18
8
16
16
16
16
24
16
16
16
8
0
18
16
0
0
0
16
1
1
1
16
8
8
0
0
0
16
16
16
16
16
16
8
8
2
2
2
2
2
12
8
1
16
16
8
8
0
0
16
16
16
16
16
16
16
16
4
8
8
0
16
4
16
8
0
0
34
2
0
8
0
16
0
0
0
4
4
0
0
0
4
25
0
0
1
0
12
12
12
8
8
0
8
8
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
1
1
0
8
0
0
0
4
0
8
8
0
0
10
10
16
16
1
1
1
1
0
24
16
0
0
1
8
8
0
0
0
0
0
8
0
0
4
4
16
16
2
26
2
2
16
16
0
16
1
0
16
32
32
32
4
4
0
0
28
16
2
2
2
2
2
8
0
16
0
0
16
0
0
0
0
8
8
8
0
0
2
8
8
17
16
8
8
4
1
0
0
0
0
8
8
8
16
16
8
1
0
8
32
0
0
24
8
8
8
8
0
0
8
0
0
0
0
0
0
2
2
2
2
4
4
4
0
16
16
16
8
0
0
1
1
1
0
8
0
24
8
0
0
0
2
2
10
2
0
0
0
0
4
4
4
16
8
0
0
0
1
0
0
8
8
8
20
20
0
0
8
9
9
0
0
16
8
8
8
0
1
1
1
16
16
0
0
0
0
0
0
8
8
8
8
8
8
0
0
2
4
4
0
0
0
11
0
16
16
16
16
4
0
0
25
8
8
8
8
0
16
0
0
0
0
8
8
0
16
1
0
48
1
0
0
0
4
6
6
0
7
4
4
17
8
0
8
8
0
4
0
8
0
0
8
8
0
0
16
16
16
8
8
8
16
8
6
6
0
0
0
0
8
24
16
4
8
4
4
4
4
4
13
1
1
8
0
0
0
0
0
12
12
0
0
0
6
32
24
0
0
0
40
40
0
8
0
3
0
0
0
16
0
0
0
8
0
8
8
8
8
0
0
0
6
6
6
1
8
0
0
4
4
4
16
40
0
2
16
0
8
0
8
0
0
4
16
16
4
4
0
0
8
8
8
0
2
2
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
2
2
2
2
0
17
16
16
0
0
8
0
24
0
0
0
0
16
8
8
0
8
16
16
0
32
32
0
0
0
8
4
4
4
4
4
16
16
12
4
2
4
4
16
16
16
8
0
1
4
0
0
0
0
8
8
0
0
0
0
0
4
4
4
0
0
0
16
4
4
4
8
0
0
0
4
0
24
24
8
8
8
8
0
0
0
0
16
22
8
8
8
0
8
32
0
0
8
0
0
0
0
0
0
0
8
24
24
24
16
16
4
8
24
0
8
16
16
16
0
0
8
0
8
5
8
16
16
16
0
16
16
16
4
4
0
1
16
16
16
8
8
8
9
16
4
0
24
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
24
24
16
8
0
0
8
0
0
16
16
16
16
16
8
0
0
0
0
0
0
9
8
26
24
8
8
24
8
24
1
16
8
0
0
2
0
8
8
16
17
16
16
0
0
1
4
4
8
8
8
8
0
4
0
8
8
8
1
1
1
1
1
1
1
0
26
0
0
0
0
16
8
8
0
1
4
0
0
0
16
16
0
19
0
2
2
2
0
0
8
8
8
8
0
0
8
8
8
8
8
8
16
0
0
4
4
0
0
0
0
0
0
0
0
0
0
0
0
4
4
6
0
4
0
0
0
0
16
18
8
0
16
16
8
0
0
16
16
17
17
2
2
2
2
2
0
16
16
16
8
8
0
16
16
0
2
2
2
8
16
4
16
1
0
0
0
0
6
6
0
0
0
0
8
0
0
12
16
1
2
2
4
0
8
16
32
32
0
24
0
2
2
16
0
0
4
4
4
2
2
20
20
4
4
4
0
0
0
0
0
0
8
0
0
22
22
0
0
0
0
0
0
0
0
16
0
0
0
0
25
25
0
0
8
0
0
17
10
2
20
20
20
20
20
0
8
8
8
16
8
24
0
32
0
0
8
8
8
8
0
0
16
16
0
0
0
0
0
16
16
0
4
0
0
18
16
16
16
16
0
0
4
0
0
32
8
0
0
9
0
16
16
16
16
24
0
8
16
0
8
4
4
4
16
8
8
8
8
8
8
32
32
0
0
2
2
8
0
16
0
8
0
0
0
8
8
8
8
8
8
0
0
0
0
0
32
8
8
0
8
1
1
0
0
0
0
16
16
0
0
0
0
4
2
8
0
0
2
8
0
16
16
16
1
0
53
16
16
16
16
16
0
0
0
16
0
0
4
4
16
16
0
0
0
0
0
10
16
16
0
16
16
0
0
0
0
0
0
0
4
16
16
16
0
0
0
0
26
0
16
1
9
8
16
0
0
0
8
0
0
8
0
0
16
16
0
0
12
8
8
8
16
16
16
0
0
0
0
24
24
1
16
0
28
8
8
8
8
0
1
1
8
16
8
8
4
4
4
4
16
0
0
0
0
1
1
1
4
4
41
41
0
0
0
8
8
8
16
16
0
0
8
0
8
0
0
0
0
0
0
0
0
8
0
0
8
32
32
32
32
0
0
0
0
16
16
16
0
0
0
0
0
8
8
4
16
16
0
22
22
22
22
22
4
4
8
8
8
0
4
4
4
4
8
2
2
8
20
16
8
0
0
0
0
22
22
1
32
32
0
0
0
0
0
0
0
0
0
0
0
28
28
28
16
0
0
0
1
18
18
18
0
0
0
0
24
16
5
1
16
0
10
10
32
32
0
0
0
0
0
32
0
0
8
8
0
0
8
0
24
24
32
32
0
0
0
16
16
0
0
0
0
4
4
4
16
0
0
0
16
16
16
0
0
1
16
8
4
4
16
16
16
0
0
16
16
8
8
16
0
0
8
8
8
1
0
0
2
2
1
1
1
8
8
8
8
8
0
0
16
16
8
8
0
0
8
0
0
0
0
0
0
0
0
0
0
32
32
8
0
32
0
41
0
0
16
24
16
16
16
6
10
10
4
2
8
8
16
8
0
0
0
0
0
0
16
16
16
4
16
0
32
0
0
32
0
8
4
33
1
1
0
0
8
8
8
8
12
12
12
0
8
8
2
2
8
8
8
8
0
0
0
8
0
0
8
8
2
2
0
4
4
4
8
0
59
8
9
8
8
8
24
0
8
0
0
0
0
0
0
8
8
16
1
8
0
0
8
8
18
16
0
1
8
32
0
0
4
4
16
16
8
0
1
16
4
16
26
24
18
0
0
0
2
0
0
8
8
8
0
2
0
0
0
17
0
0
1
24
16
16
16
16
8
8
0
8
8
8
8
8
0
32
8
8
8
8
2
16
16
0
0
16
16
16
8
0
0
0
8
16
0
8
0
16
16
16
8
0
0
0
0
0
8
8
8
8
6
6
6
6
6
0
4
4
16
16
16
0
32
57
57
8
8
16
9
9
0
0
0
0
0
16
16
16
16
0
7
0
0
16
0
16
16
16
16
0
7
16
0
16
20
20
0
0
2
2
8
8
33
8
8
24
1
8
8
8
8
8
16
8
2
1
18
18
18
8
16
16
20
20
20
20
0
16
16
0
16
4
1
1
1
1
0
8
8
0
53
0
8
8
8
8
8
20
20
0
0
0
1
0
1
16
6
6
0
0
0
0
8
0
0
16
0
0
0
0
16
16
16
1
0
16
16
16
16
0
1
36
36
32
32
32
0
4
0
8
16
0
0
16
0
0
4
4
4
4
4
16
16
0
0
1
1
0
0
0
8
8
0
2
0
17
17
1
2
2
0
2
8
8
8
0
16
16
16
32
32
32
8
8
0
4
4
4
8
8
8
8
16
16
16
16
0
0
0
0
0
8
8
8
0
16
16
16
16
4
8
0
1
16
16
0
4
8
16
16
0
0
8
8
0
0
0
0
0
0
0
0
0
0
18
18
24
8
8
16
8
2
59
51
0
16
8
0
8
8
0
0
16
8
8
8
0
0
0
0
16
0
8
8
8
8
8
8
8
0
8
16
32
8
0
18
8
8
0
4
2
2
0
0
1
17
0
0
16
0
0
32
32
8
8
8
8
8
8
8
0
0
0
0
24
16
16
16
16
16
16
16
16
0
8
8
8
0
16
0
0
0
0
0
8
16
16
8
24
24
0
1
0
0
0
0
0
0
16
24
32
32
32
5
0
0
0
16
16
0
0
0
4
0
16
16
0
0
0
4
1
16
0
1
1
0
8
8
8
0
0
8
8
28
2
4
16
16
16
0
32
8
8
8
1
0
8
8
16
16
0
2
1
8
8
0
0
0
8
8
8
1
9
8
8
8
8
0
0
0
8
8
0
0
0
0
8
16
16
0
0
2
2
2
16
0
8
8
4
0
0
16
16
8
2
2
16
4
0
0
0
8
8
16
0
0
8
4
16
16
0
8
8
8
0
0
8
0
0
0
32
1
1
0
0
1
16
0
4
0
0
21
16
2
2
2
2
0
1
0
16
0
2
2
18
8
8
8
8
8
8
2
4
17
8
8
8
8
8
0
0
8
16
17
8
0
0
0
8
8
8
0
0
0
0
0
0
8
1
8
24
24
0
0
0
16
0
0
0
4
24
24
24
16
16
8
8
8
8
8
8
8
0
8
8
8
0
8
9
16
6
16
16
8
8
8
8
45
45
45
45
1
0
0
8
0
8
8
16
0
0
0
0
0
0
0
0
0
0
0
8
8
12
0
0
0
10
10
0
0
17
17
0
8
0
0
8
8
0
48
48
48
8
0
0
0
4
0
22
4
0
0
0
0
0
0
0
0
0
0
0
0
2
0
16
16
0
32
16
2
2
2
0
16
16
16
8
8
8
0
0
0
16
8
0
0
4
3
8
8
2
2
2
2
2
2
8
8
8
8
0
0
5
0
0
0
4
32
0
0
8
8
8
8
0
3
3
2
0
0
0
16
0
0
8
8
0
0
0
0
0
0
0
8
0
0
8
0
0
0
0
0
0
16
24
1
1
1
0
8
8
0
0
0
0
0
0
0
8
8
8
16
0
0
1
2
2
0
1
20
20
0
4
4
3
8
0
0
0
0
8
8
0
0
16
16
8
8
8
42
4
4
0
4
4
4
4
0
24
0
0
0
17
20
0
0
10
10
0
8
0
1
1
1
8
16
8
8
0
16
16
16
0
8
8
8
0
0
0
2
2
2
16
16
16
16
16
16
16
16
8
16
0
8
8
8
8
8
8
9
0
0
0
8
40
40
40
40
40
0
0
0
1
4
0
0
0
16
16
16
0
8
32
16
0
0
5
0
0
0
0
1
0
16
16
1
16
16
16
16
0
0
0
0
9
0
8
0
0
0
16
4
16
32
0
0
8
8
0
16
16
16
16
16
8
8
18
0
32
32
32
0
8
0
24
32
2
0
4
0
0
0
4
16
0
0
16
16
10
0
0
0
0
8
0
8
8
8
8
8
9
9
9
0
8
0
1
18
16
16
1
40
40
0
0
0
8
0
0
0
0
0
8
2
2
2
4
4
4
1
1
0
0
0
0
0
0
0
40
14
26
8
0
1
0
0
0
8
1
16
8
0
1
10
24
0
8
32
32
0
16
2
2
2
2
0
0
0
1
0
0
0
0
4
4
4
4
4
0
4
4
8
2
2
2
2
2
2
0
0
0
0
1
8
8
8
0
20
8
0
0
0
0
8
0
16
0
0
1
4
4
8
0
0
0
16
8
8
0
0
8
2
8
1
1
0
0
8
8
8
2
2
1
1
1
1
1
8
0
0
0
0
0
0
8
8
8
16
16
4
8
8
8
0
0
12
25
0
0
1
1
6
2
2
2
0
0
4
0
0
16
0
48
16
40
56
56
16
0
0
0
14
16
16
0
8
0
8
32
1
1
16
16
16
5
0
8
8
8
8
8
16
0
0
0
0
0
16
8
8
8
16
16
28
1
16
2
32
20
1
1
8
0
0
16
0
0
0
2
2
2
2
0
0
0
0
0
0
0
0
0
0
8
24
8
16
16
8
8
8
8
0
0
0
8
16
16
0
49
49
32
1
2
2
8
8
0
23
2
2
0
0
0
0
1
1
0
8
0
0
0
0
0
0
8
8
4
0
0
0
0
0
0
0
0
0
8
8
8
0
24
0
0
0
1
2
2
0
0
0
0
8
8
4
4
4
4
4
4
8
0
0
0
0
16
16
2
8
0
0
0
0
16
0
0
8
8
0
0
1
0
0
0
0
8
4
22
4
20
10
0
28
28
1
1
1
0
0
16
16
16
6
2
0
0
16
16
16
16
1
1
0
4
4
4
4
8
0
8
0
0
0
0
8
12
0
0
0
0
0
1
1
16
4
0
0
20
20
16
16
16
0
0
0
16
16
16
57
0
0
0
0
0
8
16
16
8
8
8
8
8
0
0
0
0
0
8
8
8
8
8
41
0
8
8
6
0
0
0
28
8
16
0
8
0
8
0
0
0
0
0
0
0
0
0
0
8
0
1
1
24
0
32
12
0
0
0
0
18
4
4
0
12
0
0
4
7
0
0
0
1
0
0
2
0
16
16
13
9
0
0
0
0
4
8
0
8
16
8
4
0
32
0
0
4
2
2
16
16
16
0
8
32
32
0
0
0
16
0
0
16
8
16
16
8
16
0
0
0
0
39
0
0
8
8
0
0
40
2
16
16
8
8
8
8
2
2
2
2
2
4
4
4
2
2
8
8
8
8
8
1
0
0
16
16
18
18
18
0
0
8
0
16
16
8
16
16
4
2
2
0
16
16
16
0
0
0
0
0
8
0
0
0
0
0
0
0
0
8
8
8
8
25
1
24
24
24
24
16
0
0
16
38
38
8
8
8
16
0
1
1
0
8
1
0
0
0
0
0
0
16
4
1
1
1
1
1
2
2
2
2
0
0
0
0
0
0
0
0
16
16
0
0
0
8
12
0
8
16
16
4
4
16
17
0
0
0
24
0
0
0
8
16
36
36
36
4
16
8
8
8
4
4
2
32
2
8
2
2
8
0
0
0
0
0
0
0
16
16
0
16
8
8
0
0
0
16
0
4
4
16
16
16
16
16
0
8
8
0
0
2
0
0
0
0
17
17
17
0
8
8
8
8
8
8
17
0
8
0
8
18
18
18
0
0
0
0
0
0
0
8
16
8
8
1
1
1
0
0
0
0
16
2
2
4
8
8
8
8
8
8
8
0
0
0
0
8
0
0
0
16
8
0
0
0
0
8
41
41
16
16
17
17
0
0
0
0
24
24
24
24
16
25
16
16
16
16
16
0
0
2
8
0
32
32
16
18
60
4
0
0
0
4
8
8
0
8
8
8
8
8
0
16
0
0
0
1
0
0
0
0
0
24
8
0
19
19
19
8
8
8
0
8
8
4
4
2
2
0
1
0
0
0
32
32
4
0
0
0
0
12
8
0
0
0
32
16
0
0
0
4
4
16
16
16
16
20
12
10
2
0
0
0
0
16
16
20
0
0
0
0
0
6
1
1
18
18
8
20
8
8
8
18
0
16
16
0
0
0
1
16
16
16
4
8
16
8
8
8
8
0
4
8
4
4
4
16
8
8
16
16
8
8
8
0
0
8
8
8
16
8
8
8
8
0
8
16
8
8
8
8
8
16
26
26
26
0
0
0
0
16
1
16
12
0
8
16
16
16
13
8
17
17
17
0
0
16
0
16
16
16
1
0
56
56
56
2
2
2
2
32
16
0
0
0
16
4
0
8
4
0
2
0
0
0
0
44
16
0
0
16
16
0
0
0
11
0
0
8
8
8
0
0
16
16
0
0
0
0
8
8
0
0
16
8
8
8
0
1
1
8
8
0
8
0
0
16
0
2
2
0
16
0
0
0
0
4
0
0
8
16
16
16
16
4
4
4
16
16
0
8
1
4
4
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
16
16
8
0
0
0
0
41
41
41
0
0
0
0
16
16
16
0
0
4
12
0
16
16
1
8
1
6
16
16
16
16
40
40
40
40
40
40
40
40
32
0
0
8
8
8
0
0
0
0
24
24
24
24
0
8
8
4
0
0
0
1
0
0
8
8
16
16
1
1
17
0
8
2
0
16
16
0
0
0
8
4
0
0
0
8
16
16
16
16
16
16
16
16
1
0
16
16
16
8
8
0
8
8
8
0
40
40
24
0
4
4
0
0
0
8
8
8
8
0
16
8
0
0
0
0
24
0
4
4
4
4
16
16
0
2
36
36
36
16
16
16
16
16
6
8
8
8
8
0
16
8
0
16
2
2
8
8
8
8
8
8
8
0
1
16
16
0
0
16
0
16
8
8
8
0
8
8
8
8
8
8
6
6
16
16
16
4
4
4
4
4
4
4
8
8
8
8
8
16
16
16
16
0
4
4
8
0
0
0
0
0
0
0
0
0
0
16
14
8
0
0
4
24
0
8
24
2
0
0
0
8
0
16
16
0
4
4
4
0
0
0
0
0
16
8
24
24
0
0
0
32
0
8
0
0
16
16
9
9
1
0
48
4
4
16
8
0
0
1
0
0
0
0
0
12
2
2
32
32
2
0
38
38
0
0
8
8
8
0
0
16
16
16
16
0
16
16
0
0
16
0
0
0
16
0
4
0
8
16
0
0
0
0
0
0
16
18
18
16
16
8
9
22
8
8
2
4
4
8
8
0
16
8
8
8
16
1
8
8
16
16
0
0
0
0
0
16
0
0
0
0
2
2
16
16
0
0
0
4
4
4
4
8
8
8
8
0
4
8
8
8
4
4
0
1
0
0
2
0
32
0
0
0
8
8
16
32
0
0
0
0
16
32
32
32
0
0
0
0
0
0
0
0
16
2
0
24
8
8
8
8
8
0
0
2
0
0
8
8
8
24
16
16
16
16
16
16
16
16
16
0
2
2
2
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
1
0
0
16
0
0
0
8
16
16
0
0
0
0
0
0
8
0
0
5
1
0
8
8
0
0
4
4
4
4
18
8
0
0
8
0
0
0
0
8
8
8
8
0
8
2
2
0
2
0
8
40
8
0
16
8
0
0
0
10
0
0
0
0
8
0
0
0
28
0
0
0
0
0
0
28
0
0
0
0
8
58
58
58
0
0
0
0
0
16
0
0
0
0
0
0
16
0
0
0
8
16
8
0
0
0
0
16
8
21
0
0
18
0
0
1
8
16
11
11
8
8
8
0
0
0
0
0
8
0
0
8
0
0
0
0
0
0
8
0
0
0
0
0
8
8
16
16
16
24
16
0
0
0
28
0
0
0
16
0
8
0
0
16
0
0
0
0
0
0
0
8
0
4
8
0
0
16
4
4
1
1
0
0
0
16
8
8
16
0
16
0
16
16
0
8
8
8
17
16
0
16
0
0
8
0
16
0
2
0
0
0
0
0
0
0
0
0
8
2
0
8
8
16
16
16
0
0
0
0
9
8
8
8
8
16
16
16
0
1
0
0
0
8
8
8
1
8
24
0
0
0
17
2
2
16
0
0
0
0
20
4
4
4
0
8
0
0
0
0
8
0
0
0
0
2
0
0
0
0
0
0
0
0
8
0
0
41
2
2
2
2
0
16
16
0
16
2
2
0
0
0
4
8
0
2
2
2
24
0
8
8
0
0
8
0
0
0
6
6
6
6
0
4
0
0
18
18
16
0
0
0
0
0
16
0
10
16
0
2
0
0
0
0
0
16
8
8
8
0
8
0
0
0
16
8
16
16
16
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
8
16
10
0
0
0
0
0
0
10
10
16
1
0
0
0
4
0
56
16
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
16
16
4
0
8
8
8
8
0
24
0
8
8
0
0
0
0
0
2
2
8
8
0
0
8
8
8
8
8
0
4
8
0
2
2
8
8
8
0
0
0
0
0
8
0
8
4
0
0
0
0
16
14
8
0
16
16
16
0
0
20
20
0
4
0
0
0
16
16
16
16
16
16
16
0
0
10
10
2
0
0
0
0
0
0
0
0
20
20
0
0
0
8
8
0
4
4
2
0
8
1
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
2
2
2
16
16
16
18
0
4
2
2
2
0
0
0
0
0
30
24
32
0
0
1
1
12
8
0
0
0
8
0
4
8
8
8
0
0
0
8
0
0
0
8
0
0
0
4
8
0
0
0
8
4
16
0
0
4
16
16
8
48
0
8
0
8
8
0
0
0
0
0
0
0
37
0
1
0
8
2
0
0
4
4
0
0
0
8
8
8
0
16
16
8
8
0
0
8
0
0
0
0
0
16
16
16
8
8
1
0
0
8
0
0
0
0
0
8
2
8
0
20
0
0
0
0
20
41
0
0
8
5
0
0
0
0
0
0
2
0
0
2
32
2
0
0
0
0
0
0
2
0
0
0
0
8
0
0
0
8
8
8
8
0
0
8
8
0
0
0
8
0
0
2
16
0
2
4
4
0
0
0
0
0
8
0
8
8
0
4
4
4
39
39
0
0
4
0
4
0
0
0
0
0
0
0
0
0
1
0
0
1
16
0
16
16
16
9
9
9
0
16
4
16
16
0
4
4
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
38
38
16
0
8
4
21
31
8
8
2
0
59
8
8
8
0
8
0
1
0
0
8
8
0
0
24
24
24
0
16
0
0
0
0
0
0
0
0
16
16
16
1
0
0
8
8
0
0
8
4
4
0
0
18
18
0
8
16
0
0
18
2
8
0
0
16
2
2
2
8
8
0
8
0
16
16
0
8
0
0
0
16
8
4
0
0
0
24
24
24
1
16
16
0
0
8
0
0
8
8
2
2
8
4
4
2
2
8
0
8
8
16
0
16
16
8
8
0
0
8
4
4
24
16
8
0
0
8
8
0
0
16
16
0
0
8
0
8
8
17
8
0
0
0
0
0
0
0
0
16
0
4
4
4
0
0
0
0
0
0
16
24
24
16
0
9
16
22
16
16
16
8
8
0
0
16
0
0
0
16
0
0
0
0
0
0
6
0
4
4
4
24
0
0
0
0
8
0
8
0
0
0
0
0
8
0
24
16
0
0
0
8
8
4
0
2
2
16
4
0
8
8
8
16
16
0
0
0
8
8
16
0
8
0
40
0
0
0
16
0
16
0
0
28
4
4
8
4
0
0
0
0
0
0
0
0
6
0
0
16
16
8
0
4
4
4
0
0
0
10
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
8
0
0
8
0
0
0
0
0
0
0
8
0
2
0
16
16
16
0
0
0
0
0
0
8
0
4
4
8
8
0
16
16
8
1
1
1
0
8
16
8
0
16
16
16
0
8
3
3
3
8
8
0
0
0
16
16
2
10
16
0
0
0
1
8
0
1
0
0
0
12
0
32
0
0
16
0
0
8
8
8
0
0
0
0
0
1
0
0
0
6
0
0
16
8
8
8
8
0
2
0
0
0
0
8
0
8
16
16
16
17
4
8
8
0
0
12
8
0
0
4
0
12
23
0
16
0
48
8
0
0
4
8
8
16
0
8
8
0
0
0
0
0
0
0
0
0
4
4
24
24
24
16
0
4
2
2
2
2
0
0
2
0
0
8
0
0
0
0
0
0
4
4
4
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
24
0
0
8
8
8
0
16
16
0
0
0
0
0
8
0
0
16
0
0
4
0
2
0
16
0
2
2
0
0
0
16
0
8
13
0
0
1
1
1
16
0
0
0
0
0
0
0
8
0
8
0
0
16
16
0
30
0
0
0
0
8
0
0
16
16
0
0
4
0
0
0
1
0
0
0
0
0
8
8
1
1
0
0
0
0
0
0
0
8
0
8
0
0
47
0
0
0
16
16
0
16
16
2
8
8
0
0
2
0
0
8
8
8
1
0
0
0
0
4
4
8
8
8
8
0
24
0
0
0
0
0
0
8
0
0
24
24
0
0
0
0
0
16
0
8
8
8
8
0
0
8
0
0
0
0
0
20
16
8
8
0
0
0
0
0
1
16
0
8
0
1
0
1
0
0
0
0
0
0
0
12
3
1
1
0
26
26
8
0
8
16
0
1
0
0
16
12
0
32
17
16
0
17
17
0
0
0
0
16
16
8
8
8
8
0
0
1
0
28
4
4
4
0
0
1
0
4
0
0
0
8
8
0
7
0
0
16
16
0
0
0
0
41
1
1
0
0
0
12
0
0
0
16
16
0
0
0
0
0
2
32
0
0
8
0
8
8
0
2
2
2
8
16
0
0
0
0
0
0
16
8
0
16
0
0
0
17
0
0
6
2
2
2
1
0
0
0
0
4
4
40
40
0
16
16
16
0
8
16
32
32
0
0
8
0
16
16
18
18
18
8
0
0
0
1
1
4
4
4
0
0
1
0
0
2
2
0
0
8
16
16
0
0
0
0
0
16
0
0
0
0
0
8
0
0
0
0
0
0
0
0
1
1
1
21
0
16
0
20
20
20
0
2
16
16
16
16
0
0
1
1
0
0
0
0
0
0
0
8
0
8
8
0
0
0
0
0
0
0
28
8
8
0
0
0
0
8
16
16
0
4
0
0
4
0
0
0
16
16
4
2
2
8
0
16
4
2
2
8
8
8
0
0
9
24
24
16
16
0
0
0
0
8
8
16
16
8
0
0
0
0
0
0
0
0
0
4
0
0
0
16
16
8
8
0
0
0
1
0
0
0
16
0
8
8
8
8
0
0
0
0
0
0
16
0
0
0
4
4
17
0
0
0
0
4
8
0
0
8
8
8
8
8
0
4
16
0
0
8
0
0
8
8
8
8
8
8
8
8
8
8
8
16
0
0
1
0
0
8
8
8
8
8
0
4
4
4
0
0
1
1
8
8
8
0
0
4
16
8
0
16
8
8
0
0
0
0
0
0
36
0
0
0
0
9
9
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
24
8
8
8
4
4
0
8
0
0
0
0
0
8
0
0
16
16
16
17
8
0
28
4
4
0
0
16
16
16
0
0
0
0
0
0
2
2
17
0
8
0
0
0
0
0
0
0
8
8
8
8
1
1
0
0
0
0
0
0
32
8
0
0
0
2
0
8
8
0
0
0
4
4
32
32
16
0
0
0
4
1
16
16
4
4
8
8
8
0
0
0
24
24
2
0
16
16
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
16
0
0
0
0
0
0
4
0
8
4
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
24
24
0
0
8
8
0
8
0
0
0
0
8
8
0
18
16
0
32
8
0
0
0
0
0
37
37
0
0
24
0
0
4
16
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
16
0
0
0
0
0
0
0
0
0
0
17
2
0
4
8
8
0
4
0
32
0
8
0
0
0
8
8
8
16
0
1
0
0
16
8
0
32
8
8
2
4
8
0
0
0
0
17
32
0
8
8
8
8
0
4
8
2
0
0
0
16
16
16
2
8
0
0
24
2
2
0
0
0
0
0
0
0
4
4
0
8
8
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
8
0
0
12
0
0
50
0
0
0
4
0
0
8
8
8
0
0
4
1
0
8
12
28
0
0
24
2
8
8
2
0
0
0
0
0
0
0
0
0
8
17
8
0
0
0
0
0
0
16
25
10
0
0
0
8
4
16
0
0
24
4
2
0
0
0
4
24
0
0
16
0
0
0
4
0
0
0
0
8
9
0
0
4
0
0
0
8
0
0
0
0
8
0
8
8
8
8
0
0
0
0
0
32
0
16
0
4
8
0
0
0
4
4
0
12
0
1
10
8
8
0
0
0
8
8
0
0
0
9
9
0
0
16
16
16
0
0
8
0
18
0
0
0
16
32
17
0
0
0
0
2
0
0
8
8
0
0
0
48
0
1
0
16
16
0
0
0
2
8
0
16
0
8
0
8
0
0
0
1
2
24
0
4
0
16
16
8
8
4
0
0
4
4
0
8
0
0
16
16
0
0
0
0
0
0
0
0
0
8
0
0
0
1
25
0
0
0
8
0
8
32
0
0
0
16
2
0
0
0
0
8
8
0
20
0
0
0
0
8
1
20
16
16
0
56
8
0
2
8
8
16
0
0
0
0
0
0
16
16
16
0
0
8
40
40
40
40
1
0
4
8
0
2
16
16
0
0
0
0
0
0
0
1
0
0
7
7
7
4
0
1
1
8
4
4
0
22
22
16
24
24
24
0
8
0
0
24
0
8
0
0
0
0
2
0
24
0
25
0
0
0
0
8
8
0
0
0
0
0
0
8
0
16
0
0
0
0
0
0
36
8
8
0
16
0
0
0
20
27
16
8
4
4
4
8
8
0
20
0
16
8
8
0
0
4
4
4
0
0
0
0
4
8
8
0
0
0
4
0
3
4
0
0
8
4
4
0
6
0
8
0
1
0
8
8
4
4
16
16
0
0
0
8
8
4
8
32
0
0
8
8
16
16
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
16
16
0
0
0
8
16
32
8
20
0
0
8
8
2
2
9
18
4
0
0
16
16
16
0
0
20
20
0
8
0
16
0
1
0
0
0
12
2
2
4
8
0
0
0
0
1
1
0
0
0
0
0
0
0
20
20
20
0
0
8
8
16
0
0
0
8
16
0
28
8
16
0
16
0
0
0
16
16
8
0
16
0
4
0
16
16
0
8
0
0
4
0
16
16
16
0
24
0
8
0
0
0
0
0
0
0
0
0
0
0
8
0
8
8
4
0
1
24
8
8
16
16
16
17
17
16
16
0
8
0
0
0
0
0
0
8
8
8
20
0
16
16
16
16
8
8
8
8
17
8
16
0
0
0
8
44
44
0
0
0
0
8
8
2
0
0
8
0
0
2
0
8
0
0
32
0
1
0
0
0
8
0
0
4
0
0
0
0
0
8
0
0
0
8
16
8
1
8
0
16
16
0
0
8
9
9
9
8
8
0
0
0
0
0
0
8
0
16
0
0
0
0
0
20
8
4
0
32
8
0
0
0
0
0
0
0
0
0
2
4
1
1
0
0
0
0
4
4
8
0
0
0
0
0
16
0
0
0
0
32
4
16
8
0
0
3
0
0
0
0
16
0
16
16
16
16
8
8
0
0
16
0
0
0
0
0
8
8
0
0
0
0
16
0
8
8
8
16
0
8
8
8
8
8
16
8
8
8
0
56
56
56
20
0
0
0
0
8
0
0
0
8
8
8
4
0
0
1
1
8
0
9
9
24
8
8
0
0
0
0
0
0
0
4
4
16
16
0
0
8
8
32
0
16
8
8
0
0
0
0
0
0
4
4
0
2
0
8
8
8
0
0
8
8
24
8
4
0
0
0
0
0
0
0
8
16
0
1
1
1
8
0
8
4
4
0
8
8
8
1
16
16
16
16
8
0
0
8
0
0
7
0
20
8
0
17
0
0
0
0
0
0
8
8
16
0
0
0
0
0
0
2
24
24
0
0
8
4
0
4
4
16
8
0
8
0
0
8
0
0
0
0
0
4
0
0
8
0
16
3
8
0
16
0
8
16
40
1
2
4
24
8
0
0
16
51
24
4
0
8
8
8
8
4
4
17
17
20
1
0
8
8
8
0
0
0
2
16
16
8
0
16
16
16
0
0
8
8
8
8
9
9
9
9
9
8
8
0
4
1
0
0
0
8
8
0
8
16
16
0
0
8
8
8
4
4
0
8
8
8
0
0
4
8
17
0
0
0
0
0
0
0
16
4
4
0
0
0
0
0
0
2
8
8
0
57
2
4
8
8
8
8
4
0
32
0
1
0
0
32
0
20
20
2
8
8
16
16
0
0
0
0
0
0
8
8
32
8
8
8
8
8
8
0
8
0
0
4
0
0
0
8
0
0
16
0
8
0
0
16
16
0
8
8
0
0
0
0
0
0
16
0
0
0
0
0
0
20
4
8
8
8
8
8
0
0
0
0
0
0
0
2
2
0
0
8
8
0
16
16
8
0
16
8
0
0
8
8
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
8
0
0
16
0
4
4
0
0
0
0
2
2
0
16
12
0
0
4
0
8
0
0
24
24
24
8
8
13
13
33
0
1
1
16
20
4
0
8
8
4
4
2
0
0
0
0
8
8
0
0
16
0
8
0
0
0
0
8
8
0
4
0
8
0
32
0
4
0
4
4
0
0
8
8
0
0
24
12
0
0
0
24
8
0
1
16
16
16
4
2
8
8
8
8
0
24
24
24
4
0
0
0
0
12
12
0
0
4
0
0
40
16
8
8
24
8
16
8
8
4
4
4
0
2
16
8
8
17
1
17
17
16
16
16
1
2
1
1
24
8
8
8
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
2
0
0
16
16
16
0
4
9
8
0
0
4
0
16
0
0
4
0
0
8
2
0
20
1
0
0
0
16
0
0
0
4
4
0
0
0
0
1
0
8
8
8
0
0
8
8
0
0
0
8
0
0
4
4
4
4
4
4
4
0
0
0
0
0
0
0
0
0
16
8
1
0
0
0
0
0
0
0
0
8
8
8
8
8
8
0
1
1
8
0
16
16
16
18
0
12
0
8
8
8
0
8
8
0
0
0
0
0
16
1
1
1
1
1
0
0
0
16
16
16
0
16
16
16
24
0
16
26
0
0
0
0
24
24
8
25
8
0
16
48
8
0
1
1
16
16
16
0
16
0
0
8
8
0
0
8
8
0
0
0
0
8
0
0
0
0
2
2
8
8
0
0
0
0
16
16
0
0
0
0
0
0
10
0
8
0
0
0
8
0
32
32
32
0
0
20
16
0
0
0
0
0
0
2
16
16
0
0
0
4
8
2
0
4
8
4
4
8
0
0
8
8
0
0
0
0
16
24
0
0
4
4
4
4
0
0
2
8
0
0
0
0
16
16
16
0
16
3
16
0
4
4
0
0
0
0
0
8
8
8
8
16
24
0
0
0
1
0
0
8
0
0
0
16
16
0
16
0
0
17
0
0
24
0
4
4
4
16
0
14
0
0
0
8
4
4
8
8
0
0
0
0
0
1
1
0
8
0
0
8
2
2
16
0
0
0
0
0
0
0
0
40
40
24
24
16
16
8
4
0
0
0
16
0
0
17
2
2
0
0
0
0
32
0
0
0
16
4
8
8
8
0
6
6
8
16
0
16
0
0
0
0
0
0
0
8
0
0
0
0
0
0
4
0
44
16
8
8
1
1
1
9
8
1
1
16
0
0
2
8
1
16
4
0
0
0
0
16
8
0
0
0
0
8
8
8
8
8
0
0
0
8
8
19
19
24
0
0
16
32
32
32
4
4
0
0
0
4
0
0
0
0
0
16
0
0
0
0
0
8
1
0
8
0
8
16
0
0
4
0
0
0
0
4
0
32
0
0
2
2
2
24
0
8
8
8
4
8
2
16
1
1
0
4
8
8
8
0
4
8
16
0
0
8
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
6
0
0
0
0
8
0
0
17
17
8
16
16
0
1
0
8
0
0
17
17
17
17
17
17
17
0
16
16
0
0
0
24
3
3
8
8
8
8
0
0
32
16
16
16
0
0
8
8
8
0
8
4
2
0
0
3
0
0
8
8
12
8
0
2
0
0
8
0
0
0
0
2
8
8
8
2
8
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
16
0
0
0
16
18
0
16
8
2
0
0
0
0
53
53
0
0
4
8
8
0
2
12
12
12
0
8
0
0
0
0
0
0
0
8
8
0
0
15
15
0
0
8
0
25
16
16
16
8
8
0
0
0
0
2
0
18
0
0
0
0
0
2
0
8
4
0
0
0
8
0
0
0
0
0
0
0
0
4
4
8
8
32
32
32
32
32
32
32
32
32
1
0
0
16
16
16
16
16
16
24
8
0
0
0
8
4
0
20
0
4
4
0
18
20
0
16
16
24
0
0
0
8
16
16
16
1
0
28
28
28
0
0
0
0
16
0
0
0
0
0
16
16
8
0
0
32
0
0
5
8
0
16
12
0
4
0
16
12
12
16
12
12
0
0
8
28
0
16
16
2
0
0
20
0
8
0
8
16
6
4
16
0
4
0
8
0
0
1
1
1
32
0
0
0
0
0
0
8
0
0
0
22
22
0
8
23
23
0
0
0
0
0
0
0
8
8
0
0
7
8
4
0
0
8
0
0
8
8
0
8
8
8
8
8
8
8
16
0
0
0
48
48
0
0
0
16
16
0
0
8
8
8
0
8
8
4
4
8
2
0
0
0
0
8
8
0
0
8
8
8
8
6
4
2
16
0
0
1
0
0
0
16
8
0
0
0
0
14
8
8
1
1
1
0
18
18
18
0
0
0
0
0
0
0
0
16
34
34
16
0
0
0
8
0
0
0
16
0
0
0
16
0
0
0
0
32
0
0
1
1
16
16
28
28
0
0
0
1
2
2
12
4
4
0
0
0
0
16
16
16
16
0
0
8
8
8
8
16
8
8
8
8
8
0
0
1
4
16
8
0
8
16
16
2
0
0
0
1
1
0
0
0
2
2
2
8
0
24
24
24
8
8
16
16
16
0
16
16
0
0
4
8
0
0
1
16
16
0
0
0
2
0
0
2
2
8
0
8
8
0
0
16
16
8
8
0
40
40
40
0
8
8
0
8
8
8
8
8
0
16
8
0
0
8
16
8
0
8
8
8
8
8
8
8
8
8
8
8
24
16
0
16
0
0
8
8
8
0
0
0
12
0
0
0
0
0
8
16
16
16
16
8
0
36
4
4
4
4
4
0
0
0
8
0
16
0
0
0
0
0
0
0
8
16
16
0
0
0
0
0
8
0
0
0
0
0
0
0
16
8
61
24
0
16
24
0
0
0
8
8
0
20
20
20
0
4
4
16
16
2
2
2
2
0
8
0
0
0
0
1
1
1
0
10
40
40
0
4
16
16
16
0
0
0
0
0
0
24
8
8
0
4
0
8
16
0
0
0
8
0
0
0
0
0
0
4
2
8
8
8
28
32
0
0
0
0
16
0
0
0
0
8
8
6
0
0
4
4
8
8
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
17
16
0
0
0
16
16
0
2
0
8
0
0
8
1
0
20
8
0
0
8
0
4
8
0
4
4
0
0
0
0
8
8
1
1
1
0
0
1
4
4
0
32
8
17
0
8
8
8
4
17
1
1
16
16
16
0
0
0
0
8
8
0
28
24
0
0
0
0
0
0
0
0
0
4
4
0
0
0
11
11
16
2
2
2
0
0
0
32
32
16
16
0
0
0
0
0
20
20
20
0
8
0
4
16
16
0
0
16
0
0
0
0
16
0
0
8
8
0
8
8
8
0
8
1
8
8
8
1
1
8
2
0
0
18
0
2
2
2
10
0
0
16
8
16
16
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
24
0
8
16
16
32
16
16
24
24
8
8
8
0
0
0
8
10
6
8
16
0
2
0
2
0
8
8
16
8
0
2
2
0
0
0
0
16
8
8
0
0
16
16
0
0
0
8
8
0
0
0
0
16
16
0
0
2
32
8
20
0
8
17
8
8
8
0
8
8
0
24
16
1
1
2
8
0
0
0
20
4
4
4
4
4
4
0
0
1
1
0
21
8
8
8
8
16
0
0
0
0
8
0
8
8
2
0
16
8
8
8
8
0
0
0
0
0
0
10
10
0
0
10
10
10
10
0
0
0
0
4
24
0
8
8
16
16
1
1
4
0
0
9
8
0
0
0
0
16
0
8
32
0
8
0
28
4
4
16
0
0
0
0
16
16
0
0
0
0
0
16
16
4
0
0
8
0
0
1
4
4
0
8
16
16
16
9
9
9
4
4
16
16
0
0
8
8
2
2
0
24
9
4
0
0
0
0
0
0
0
8
0
4
0
16
16
16
16
0
4
8
0
0
16
1
1
1
16
8
2
0
0
1
0
0
8
0
4
8
8
0
8
8
8
8
27
34
1
0
0
0
0
0
8
8
8
8
2
2
2
2
2
0
0
0
8
8
0
0
0
0
0
0
0
16
4
4
8
0
0
0
8
8
8
8
8
8
8
2
2
0
8
0
4
4
0
8
8
0
16
4
4
4
4
4
4
4
0
0
8
32
4
1
2
8
8
16
16
8
0
0
0
8
24
1
0
16
8
8
8
0
0
0
0
8
8
0
24
24
6
0
2
2
0
24
24
40
40
0
0
2
2
2
2
9
16
16
16
16
16
16
8
0
8
0
8
8
0
8
0
0
0
0
0
8
2
16
16
16
16
18
8
8
0
0
16
16
16
16
0
8
8
7
7
7
16
16
0
0
8
0
0
1
1
1
16
0
0
8
0
4
2
2
2
0
16
16
16
16
0
0
0
16
16
16
16
16
16
8
40
40
0
8
4
4
1
51
0
0
0
0
0
0
0
0
8
8
8
0
0
0
2
0
4
0
0
0
0
9
9
9
4
4
4
8
8
8
2
2
2
2
2
0
16
0
1
8
4
0
0
8
0
0
2
18
16
0
8
16
1
1
0
0
16
1
0
0
2
0
0
0
0
0
0
0
0
0
4
4
0
0
16
8
1
1
0
0
1
0
4
0
0
0
8
16
0
4
0
8
40
0
8
8
8
6
26
4
4
4
0
0
52
1
19
19
0
32
32
0
0
2
1
0
0
0
0
9
16
16
16
16
16
0
0
0
0
8
0
3
4
13
5
0
0
0
0
0
1
4
8
8
8
8
8
8
8
8
8
8
8
8
0
8
8
8
8
0
0
0
0
0
0
16
0
0
8
8
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
8
0
24
8
0
0
4
4
4
0
0
16
0
0
8
2
2
16
8
40
0
0
16
16
16
8
8
0
0
0
0
0
0
16
1
0
0
0
0
0
0
0
16
0
16
4
0
0
0
0
0
0
24
16
40
16
16
16
16
4
8
8
8
16
16
0
0
0
16
33
0
8
8
0
8
16
16
16
8
8
8
0
0
0
0
0
8
8
4
4
4
0
0
0
0
0
0
4
0
0
0
0
34
34
0
0
0
0
4
8
1
1
1
0
8
4
16
24
0
0
0
16
0
0
17
17
17
8
16
1
8
16
16
2
4
4
4
4
16
8
8
1
20
0
0
8
0
0
0
1
2
16
0
8
16
1
1
1
1
0
8
8
16
16
16
8
8
8
32
0
0
0
16
8
16
16
16
0
32
32
32
32
4
24
8
16
8
0
8
8
8
8
8
2
0
8
8
8
40
40
40
40
16
16
16
16
16
16
16
16
6
0
0
0
16
0
12
8
8
8
48
0
16
1
0
12
0
0
16
8
0
0
0
0
0
0
6
6
6
2
2
0
0
8
8
0
0
0
36
16
0
4
1
32
32
32
6
0
0
0
26
1
1
1
8
0
24
24
8
8
8
0
8
0
1
1
16
8
0
16
16
16
16
16
16
1
1
2
0
0
0
8
0
0
4
0
0
0
0
2
2
2
2
0
18
4
0
16
0
0
0
16
0
0
8
16
0
0
0
0
8
0
8
8
5
0
8
5
0
32
8
0
0
0
8
0
0
8
16
16
16
1
1
1
30
30
30
0
8
0
16
16
16
0
0
0
0
0
0
1
16
16
16
0
16
16
16
16
16
1
1
0
4
1
1
1
8
0
0
0
0
8
8
8
8
8
8
0
0
4
4
4
16
16
5
8
0
0
8
8
8
0
11
16
16
16
0
0
0
4
4
4
32
32
0
16
16
0
0
0
0
0
6
0
8
8
8
0
16
16
0
1
4
8
8
8
8
8
8
0
0
4
16
21
16
16
8
8
8
8
4
0
0
8
24
16
24
16
16
0
0
0
0
0
0
4
24
24
24
0
16
8
8
8
0
0
8
0
0
8
8
8
8
8
8
8
0
0
0
4
0
0
0
0
12
2
8
8
0
0
8
48
8
4
0
24
0
16
16
8
0
18
2
16
12
12
12
0
0
0
48
48
48
48
48
48
48
2
2
0
0
0
0
16
16
0
24
24
2
2
2
2
2
2
2
2
16
8
8
8
0
20
20
0
32
32
32
32
8
8
8
0
0
2
0
0
16
16
16
8
8
8
8
8
8
0
0
0
0
8
0
0
0
1
1
21
21
8
0
8
17
17
0
4
0
0
0
0
0
0
8
8
8
16
4
4
4
4
4
4
2
2
2
2
2
2
2
0
0
1
0
32
32
32
2
4
4
4
4
0
24
1
16
0
8
32
8
16
2
2
4
16
16
16
16
33
0
8
8
0
0
0
0
41
4
0
0
0
8
1
0
16
16
32
0
8
8
8
0
8
16
26
16
8
8
8
0
2
2
0
0
0
2
16
16
16
0
24
24
8
0
8
16
0
0
0
0
0
0
0
0
0
0
8
8
2
0
0
8
12
12
18
1
0
8
12
12
24
0
0
8
8
16
8
8
0
0
6
0
0
8
0
0
48
48
16
16
16
1
0
8
8
4
8
8
20
4
8
4
0
8
24
0
0
2
2
2
0
8
24
0
0
1
1
1
8
8
8
0
0
8
24
8
8
32
0
0
0
0
0
0
0
6
1
1
17
16
16
4
4
8
16
8
8
8
8
8
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
16
0
0
16
32
32
8
8
6
8
1
1
2
0
0
0
0
16
2
0
0
16
0
0
0
4
2
12
2
2
16
16
0
8
16
16
16
0
0
0
0
8
8
0
8
8
0
0
0
0
16
0
0
0
8
1
8
0
0
32
8
8
1
1
0
0
0
16
8
8
0
0
0
0
0
8
8
18
18
16
0
0
0
0
0
8
2
12
12
12
16
8
24
24
24
24
8
0
0
0
8
8
16
0
8
21
16
16
8
8
8
0
0
8
0
0
0
1
0
9
9
9
16
16
8
16
16
16
16
16
0
0
16
16
0
8
0
2
2
0
0
0
0
0
0
4
8
8
8
8
50
4
4
4
4
0
0
0
0
0
0
0
24
24
0
16
16
16
16
16
16
26
1
16
16
16
0
0
8
5
8
8
0
8
8
1
8
0
32
32
16
16
8
24
16
16
16
16
16
16
16
32
8
16
0
8
0
0
0
0
0
0
0
0
0
0
1
8
8
8
0
0
20
8
8
8
8
16
8
8
8
0
1
0
0
0
0
8
17
17
0
0
16
0
2
16
16
8
4
0
4
4
8
8
8
8
16
0
0
0
16
16
8
8
4
8
4
0
16
16
2
4
0
8
0
0
1
0
8
8
8
8
8
8
0
4
4
0
0
0
0
8
1
8
0
8
8
8
8
8
8
8
8
0
0
0
0
0
8
0
0
0
8
16
16
0
0
0
32
32
16
0
1
1
0
16
48
60
16
16
16
0
8
0
0
0
0
0
32
4
8
8
0
0
0
0
4
8
8
1
4
4
4
8
8
8
24
16
1
0
0
0
16
16
8
0
0
0
0
4
0
0
0
0
48
56
0
0
0
16
16
0
2
2
1
1
16
8
16
0
2
2
16
8
24
24
8
8
8
8
16
0
8
8
4
1
2
2
1
1
16
0
0
16
16
8
0
8
8
8
8
8
0
1
0
16
16
0
0
0
0
8
8
8
16
16
0
8
16
16
4
8
16
16
16
8
8
8
0
8
0
28
1
16
16
24
9
0
16
16
16
8
8
8
8
26
8
0
16
1
1
20
0
1
1
0
4
8
8
8
8
0
0
8
8
16
4
0
0
0
0
6
8
0
0
0
0
0
0
4
0
1
0
0
0
0
0
16
0
24
22
22
8
8
8
8
8
8
8
8
0
0
8
0
8
16
16
16
8
1
1
32
0
0
16
0
0
1
1
0
0
0
2
2
2
2
0
0
0
0
4
1
0
0
0
14
0
16
16
32
1
48
0
1
0
16
0
0
0
8
32
4
4
0
24
24
24
8
0
0
0
32
32
25
25
1
0
0
4
0
0
0
0
0
16
8
0
0
21
0
0
20
20
20
0
0
4
4
16
0
8
8
8
8
2
0
42
42
2
2
0
4
8
8
6
22
16
4
0
0
0
0
8
0
0
20
2
0
2
52
52
52
0
0
0
0
0
0
8
8
8
8
4
8
1
8
0
0
25
25
0
0
0
0
0
0
0
4
4
4
8
8
8
1
1
16
0
0
0
0
2
32
8
1
16
16
16
0
1
1
0
0
0
0
0
4
0
0
4
8
8
8
16
16
16
0
0
16
16
0
16
24
0
8
0
0
8
0
16
16
0
0
0
0
18
18
1
1
1
16
16
0
33
8
8
8
8
8
0
16
1
0
32
32
1
1
1
16
8
8
0
0
0
20
3
8
2
2
2
0
0
0
16
0
0
0
4
4
16
16
30
0
0
0
1
0
0
0
12
12
12
2
16
16
16
0
4
0
0
0
16
24
24
0
8
8
12
0
0
0
0
16
1
16
16
8
0
1
1
8
8
8
1
1
1
1
1
16
0
0
0
0
0
8
8
8
8
8
8
0
8
8
4
11
0
9
4
8
16
8
8
0
0
8
24
0
8
16
0
16
0
33
1
0
4
16
16
16
0
0
16
16
16
0
0
0
0
0
0
0
0
16
8
8
8
8
0
0
4
0
16
4
0
0
2
18
18
18
18
18
18
1
2
0
16
16
24
24
8
0
0
0
0
0
0
0
32
8
0
0
0
1
12
16
0
8
8
1
16
2
1
0
8
8
8
8
0
0
0
0
32
32
32
32
32
0
0
0
0
0
8
8
8
8
1
1
1
8
0
8
16
8
8
16
16
16
0
0
0
16
16
0
4
8
8
0
0
24
24
24
24
36
36
8
16
16
16
8
8
8
0
0
16
16
4
4
0
8
16
8
8
8
4
0
4
4
4
0
1
1
1
1
1
1
0
32
32
24
24
24
24
0
24
32
2
2
0
8
0
8
0
0
0
0
0
0
8
8
4
0
0
16
18
32
32
32
0
0
4
8
1
5
16
28
28
28
0
0
0
32
16
16
16
0
0
0
8
4
4
40
8
16
1
8
0
0
4
4
4
0
0
8
24
16
8
2
8
0
16
0
0
0
8
0
8
0
0
1
0
0
0
8
8
8
8
8
6
6
16
0
24
8
8
0
16
0
0
4
4
4
4
0
16
8
8
16
0
4
4
0
0
8
16
8
1
1
0
0
1
32
8
8
0
0
0
0
1
1
0
0
0
0
2
2
1
2
0
16
0
16
0
8
0
4
4
0
4
0
16
0
0
0
0
16
16
24
16
8
8
8
0
12
0
0
0
0
32
32
0
2
16
16
16
16
16
0
0
8
8
8
0
16
0
16
4
2
2
2
0
16
1
8
0
16
8
16
16
16
0
0
16
1
4
0
0
0
0
16
16
0
20
0
0
8
4
4
8
8
8
16
16
16
0
8
8
1
0
8
8
8
8
0
0
0
4
8
6
6
6
5
1
1
0
0
0
0
0
0
0
16
16
16
16
0
24
28
0
8
18
18
16
0
0
8
4
0
0
0
8
16
32
32
20
0
0
0
8
0
0
16
16
16
6
0
0
0
16
24
24
16
16
0
0
0
0
0
0
16
16
16
8
0
18
0
0
0
0
8
8
4
1
1
1
0
32
1
1
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
24
0
0
2
4
4
0
0
0
0
0
10
9
9
0
0
0
1
1
1
1
0
17
0
16
0
0
0
16
0
16
8
8
0
4
4
16
16
16
16
16
16
16
16
16
16
16
0
16
0
0
0
0
0
0
0
8
19
16
16
1
0
0
0
8
0
0
8
8
57
57
12
8
8
8
16
0
0
8
1
0
0
16
16
2
2
2
0
8
8
2
2
0
0
0
0
0
0
0
0
1
8
8
0
2
2
2
8
8
8
8
1
1
1
0
0
0
4
12
0
1
1
8
8
8
8
8
4
0
0
0
25
25
25
25
25
25
8
16
0
24
4
16
16
16
3
16
16
0
8
8
1
1
1
25
25
0
0
0
0
17
17
17
24
0
8
0
17
17
17
16
0
48
0
0
0
0
0
0
0
4
4
42
0
0
1
0
0
20
20
8
8
8
8
0
0
0
0
8
8
8
8
16
0
0
0
0
0
0
0
0
0
0
0
0
16
8
1
8
0
0
0
8
24
16
0
4
1
0
16
16
0
16
16
2
5
5
1
8
24
0
8
8
2
2
8
48
1
1
16
16
16
0
8
0
0
0
0
8
2
2
2
2
0
0
16
0
0
0
0
16
0
0
0
16
8
8
0
0
0
16
0
8
40
0
33
33
0
0
0
8
8
8
8
1
0
16
1
1
24
16
0
0
0
0
0
26
0
1
1
0
4
4
60
16
4
16
40
0
20
20
0
0
0
0
0
0
16
1
0
8
0
8
0
0
0
2
2
2
2
2
0
0
16
16
16
16
0
0
0
0
0
8
16
0
0
24
8
0
8
8
8
30
16
24
24
2
0
8
0
8
8
0
0
0
0
14
4
16
16
5
0
4
1
4
16
16
0
16
8
0
16
8
0
0
0
0
0
8
8
8
0
0
16
8
4
0
8
4
8
8
8
0
8
0
48
0
2
2
0
0
18
18
1
2
0
0
0
32
0
0
0
8
0
16
8
8
8
0
0
0
0
16
0
8
8
16
32
32
32
32
0
8
2
24
32
32
32
24
13
0
0
0
0
0
8
0
0
0
0
0
16
16
16
16
0
6
6
6
0
4
4
0
16
16
16
8
0
48
8
0
0
0
16
16
24
4
4
0
8
0
0
0
8
16
8
8
8
0
1
17
1
1
16
16
0
0
8
1
9
9
0
8
8
8
0
8
8
0
0
0
8
8
0
0
8
16
0
0
0
0
24
24
2
0
36
36
20
20
16
24
24
24
16
4
0
16
0
0
1
1
12
12
12
12
0
32
32
0
8
8
8
2
16
16
8
8
8
0
16
16
8
8
0
16
0
0
11
8
8
25
1
8
0
0
0
0
16
0
0
0
0
4
0
0
16
2
0
16
32
8
16
16
16
32
32
32
32
16
0
0
24
0
0
16
0
0
0
16
8
2
28
0
0
8
8
0
0
0
0
8
4
32
16
16
4
0
8
4
16
0
0
2
0
8
8
1
0
4
4
8
0
0
0
38
36
0
0
0
0
0
0
4
16
16
16
8
8
8
16
32
32
8
8
1
0
0
16
4
8
8
0
0
0
0
4
8
0
0
0
0
0
0
0
1
1
0
0
0
25
16
2
0
0
0
0
0
24
0
8
12
16
16
8
8
0
0
16
8
0
0
8
0
0
8
8
0
0
0
0
16
0
8
8
0
0
8
8
0
0
0
0
0
0
0
0
4
0
0
32
12
0
4
4
0
0
0
36
32
32
32
32
32
32
32
32
32
1
8
0
0
0
8
1
16
0
1
8
8
32
12
8
16
0
2
2
0
8
0
32
32
0
16
0
0
0
16
16
0
8
8
0
0
0
0
0
4
4
0
16
24
8
0
0
8
0
0
4
8
2
8
0
0
8
32
16
0
8
0
0
0
0
1
0
16
1
4
0
0
0
16
24
8
20
20
8
16
0
0
4
6
8
8
1
0
0
0
32
8
0
0
8
0
20
0
0
16
16
16
8
8
8
16
0
0
4
4
4
0
4
4
0
0
2
8
8
16
16
16
16
16
16
2
2
5
16
0
16
0
4
4
4
0
0
8
0
0
0
2
8
8
8
8
8
8
8
8
8
8
16
16
1
0
0
0
4
4
4
4
8
8
16
16
4
16
0
0
0
17
8
8
0
0
0
0
0
1
12
4
0
0
0
45
45
0
0
0
0
16
0
0
0
0
0
2
24
8
20
8
2
0
0
16
0
0
16
6
32
1
1
0
0
4
0
0
0
0
0
8
8
8
8
8
8
8
16
2
2
2
2
0
16
0
2
0
8
4
0
8
32
32
32
8
8
0
6
1
1
5
32
2
0
0
1
0
0
32
8
4
20
20
16
16
0
0
0
0
1
8
8
2
2
2
2
32
32
32
0
0
0
0
16
16
16
16
16
0
8
32
32
8
4
0
0
16
16
32
8
8
2
16
16
16
16
16
16
16
16
1
0
0
0
4
0
0
8
8
0
0
8
0
39
16
0
0
0
0
0
0
1
1
4
1
0
16
0
32
0
0
32
32
32
8
24
0
0
0
1
16
12
12
8
16
0
32
32
8
0
0
0
2
0
0
0
8
0
0
0
4
16
32
0
0
0
8
0
0
0
4
0
8
8
32
0
2
2
1
8
9
8
0
16
8
0
9
9
4
28
48
48
48
48
48
48
0
0
33
32
8
17
4
4
4
4
0
0
16
16
16
0
0
8
0
0
0
2
2
0
4
4
0
6
0
0
0
8
8
32
32
32
32
32
0
19
0
0
48
8
16
0
0
0
0
24
8
16
0
0
0
0
0
0
0
8
0
24
0
8
8
8
8
0
16
1
8
8
24
4
4
4
16
1
16
8
8
8
8
0
13
1
16
16
16
16
16
16
16
16
16
16
16
16
2
2
0
16
0
0
9
2
8
8
1
4
0
0
12
12
2
2
2
4
0
0
0
1
0
0
0
0
8
0
16
16
16
16
16
16
16
0
0
0
0
60
8
8
8
8
8
8
8
0
0
8
2
0
28
0
2
8
5
5
5
5
5
5
5
5
8
0
0
0
0
8
0
10
0
0
0
0
16
1
16
24
4
24
8
8
8
16
16
16
0
0
0
16
16
16
16
16
16
0
8
8
8
16
13
13
0
0
4
4
8
8
0
0
0
8
1
8
16
16
16
1
1
1
8
24
8
4
1
4
4
4
4
4
8
8
8
16
16
0
22
22
16
16
16
12
12
16
8
0
0
16
16
8
42
42
0
0
2
0
0
8
8
8
8
0
0
0
1
1
1
0
0
12
1
0
0
24
16
8
32
32
8
8
8
8
0
0
0
8
28
10
10
10
16
16
0
0
0
0
0
0
0
0
0
8
8
16
0
8
8
2
2
8
8
8
8
8
0
16
16
1
1
2
0
10
10
4
16
0
16
16
16
0
0
0
8
8
8
8
8
8
0
32
2
0
0
0
2
8
1
17
4
8
0
0
4
0
0
24
16
4
4
8
8
16
0
0
0
0
0
0
4
16
16
16
0
17
17
17
1
0
8
2
8
20
20
0
0
0
16
32
32
32
0
4
4
4
0
0
0
0
0
0
2
0
8
16
0
0
8
8
4
4
17
16
16
12
12
16
16
4
0
0
16
8
8
8
8
0
16
8
8
16
0
0
8
8
0
0
0
0
8
20
16
16
0
0
8
24
0
0
32
32
32
4
0
8
8
8
0
4
1
8
8
16
8
0
0
8
8
0
6
0
3
32
24
24
0
8
8
8
8
8
8
0
16
16
16
16
8
8
8
8
0
16
0
0
0
4
0
16
16
18
18
16
10
10
2
16
32
1
1
1
8
0
8
8
32
0
0
2
16
4
52
9
0
0
0
0
0
16
1
1
22
8
8
16
16
16
16
0
0
16
16
8
0
9
1
0
0
8
41
41
41
24
12
8
1
25
25
25
25
8
4
4
0
0
16
0
0
0
0
0
0
16
16
0
16
16
16
8
8
8
8
26
0
0
8
0
0
0
0
1
25
12
8
8
8
0
16
0
4
0
0
8
8
0
0
0
0
0
0
8
16
32
0
0
0
16
4
0
16
16
16
0
4
2
0
16
0
0
0
0
1
1
17
0
0
0
0
0
0
0
8
8
4
32
0
27
27
24
8
4
0
8
8
16
16
1
1
1
1
8
0
8
8
16
8
0
0
8
8
0
0
0
0
4
4
4
4
0
8
8
4
12
12
1
1
0
0
16
16
17
0
8
8
8
0
0
0
0
16
1
1
16
0
16
4
4
4
0
16
9
17
17
17
0
16
0
1
1
8
2
2
2
2
24
28
28
16
0
0
0
0
0
0
4
1
1
0
0
10
16
16
16
2
0
0
0
8
8
1
1
24
0
0
4
32
0
0
0
0
0
0
0
0
43
0
17
0
16
16
16
16
8
0
6
0
0
0
0
0
0
0
0
0
8
8
8
8
8
32
0
32
16
16
16
16
16
0
0
0
33
16
16
8
0
0
16
8
8
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
25
25
8
20
16
16
16
0
17
17
0
0
8
8
8
8
16
16
0
16
0
0
0
0
34
13
0
16
16
20
16
0
2
2
0
42
8
8
0
0
4
8
16
16
16
8
8
0
8
0
0
16
16
0
24
0
24
8
16
2
18
18
16
16
16
0
0
0
9
0
0
0
0
8
8
0
0
0
0
16
0
26
26
0
0
16
41
41
0
0
0
18
0
8
4
0
0
20
16
0
8
8
16
2
16
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
8
4
2
0
1
16
16
16
1
1
4
4
4
4
0
8
0
8
1
0
0
1
4
16
16
16
1
16
0
1
0
16
16
1
0
0
8
8
8
0
16
8
8
24
0
0
8
24
16
16
16
16
8
8
9
0
0
8
0
0
8
8
8
0
0
24
24
0
0
0
0
0
1
1
1
1
8
0
0
2
2
0
0
8
0
8
16
2
1
16
16
22
32
32
0
0
0
8
8
48
16
16
8
1
1
4
0
0
0
4
4
0
0
0
0
0
1
32
4
16
1
1
0
0
8
0
0
10
8
8
8
8
8
30
24
0
0
20
1
0
0
0
16
8
0
40
40
40
0
8
8
8
8
0
0
0
8
0
16
16
2
16
9
9
9
9
0
16
0
0
0
0
0
2
0
0
8
8
0
24
0
0
0
0
0
8
1
1
1
1
9
0
0
0
0
4
59
25
24
32
8
8
0
16
16
16
16
1
8
0
0
0
8
2
2
0
0
2
2
2
0
0
0
0
4
0
0
0
0
1
1
1
0
0
0
0
8
8
16
16
0
0
1
1
9
16
2
4
8
9
0
0
0
18
2
4
32
32
32
32
32
32
32
32
32
32
0
8
16
8
1
1
1
0
0
0
0
0
0
8
0
16
16
16
16
16
0
0
4
16
4
4
4
8
8
32
8
8
8
8
8
8
8
8
0
0
16
16
16
16
8
1
2
2
2
0
0
0
32
10
10
10
10
0
2
2
2
0
8
8
8
2
2
2
2
0
16
8
0
0
12
12
0
0
24
22
22
22
2
2
0
4
4
1
1
16
0
0
0
2
0
16
16
22
22
24
1
8
3
3
3
8
16
4
4
4
16
0
4
4
0
0
0
16
16
0
0
0
24
24
24
0
0
0
0
8
8
8
8
0
0
0
16
16
16
16
1
1
8
2
0
16
16
0
0
2
8
0
0
0
8
16
16
16
8
8
8
0
0
16
16
8
2
8
8
1
4
0
0
0
0
0
0
5
5
0
0
0
4
0
4
8
0
0
0
2
4
4
0
0
16
16
0
8
2
2
4
0
16
0
0
16
16
28
0
0
0
0
1
16
16
16
16
0
0
16
8
8
0
0
4
4
24
24
24
4
5
20
16
16
8
2
2
2
1
0
0
8
0
48
8
8
16
1
16
16
0
0
0
0
0
0
8
8
16
16
0
8
1
1
1
0
0
0
4
16
16
2
2
0
0
4
0
8
8
16
16
16
16
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
8
8
0
0
0
0
4
0
0
0
1
1
0
0
0
0
1
34
34
34
4
0
0
0
0
16
16
16
16
1
5
5
5
5
5
0
0
4
8
28
16
16
16
0
16
0
4
4
0
0
0
0
8
8
8
4
0
0
0
0
8
0
16
16
0
56
56
56
56
56
56
56
4
0
0
16
16
16
16
16
0
32
32
4
1
8
0
0
8
8
16
8
16
0
0
1
16
1
1
1
36
4
0
0
16
8
8
0
0
0
8
32
2
16
16
8
8
8
18
18
18
16
16
8
2
4
0
0
8
12
0
16
0
0
40
40
0
0
0
0
10
10
0
0
0
0
0
16
16
0
0
48
8
16
0
0
1
1
16
8
4
4
4
18
8
8
0
0
0
16
16
2
8
0
0
0
0
16
16
0
0
0
1
4
4
8
24
0
0
0
0
0
8
0
0
0
4
0
0
10
8
0
8
8
0
0
1
0
4
4
8
8
8
0
0
0
18
16
0
0
0
16
8
0
0
0
0
8
8
0
16
0
0
16
24
0
8
8
8
8
16
16
8
0
0
0
16
0
0
27
8
8
8
8
8
16
16
0
0
16
16
16
2
8
8
8
17
4
4
4
4
8
0
2
2
0
0
0
0
0
1
2
2
16
16
16
16
16
2
2
2
0
0
0
0
8
17
8
0
17
0
0
16
16
37
17
17
17
2
34
34
0
0
0
1
16
0
0
0
0
8
0
8
8
8
8
8
16
0
16
16
17
8
2
2
2
0
16
16
8
1
1
0
0
0
8
8
0
0
0
4
4
0
0
0
0
0
1
0
2
2
0
0
0
16
60
24
0
0
0
0
8
0
0
0
0
0
0
0
0
8
8
0
0
0
8
8
8
1
1
1
0
0
16
16
0
1
3
8
8
16
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
24
0
32
0
24
24
8
0
4
8
8
8
8
8
8
0
0
11
16
2
16
16
0
0
0
32
0
16
4
8
8
4
0
4
4
8
16
1
1
0
0
0
0
0
8
8
0
0
8
16
16
16
16
20
16
16
0
0
0
0
16
16
8
1
20
20
8
0
32
0
8
8
16
16
8
36
36
36
36
4
4
32
0
2
2
2
0
0
0
0
8
8
8
8
16
36
8
0
0
0
0
16
16
16
24
24
24
16
0
0
8
8
8
8
0
0
2
24
24
0
25
25
0
0
0
0
20
0
8
8
8
16
0
0
0
0
0
0
9
16
24
24
16
8
4
4
4
0
0
0
0
0
0
16
16
16
16
16
0
16
1
24
4
0
0
2
4
0
8
2
0
0
0
1
0
0
8
8
0
4
16
16
20
16
0
0
0
2
2
2
2
2
1
16
0
0
0
0
0
0
0
6
6
8
8
8
0
0
0
0
0
0
0
16
4
8
1
0
8
0
16
16
0
0
2
8
8
2
2
4
2
0
4
0
0
0
0
0
0
16
16
0
0
8
1
0
0
0
8
0
0
8
16
0
0
0
12
12
4
1
0
0
0
0
0
16
16
16
0
8
0
4
8
0
16
16
16
0
5
5
8
0
0
50
50
50
50
8
8
8
8
8
0
6
0
8
16
8
32
32
32
32
4
4
4
8
0
16
16
16
16
16
16
16
0
8
8
8
8
0
0
8
16
0
16
16
0
0
8
0
24
24
24
24
8
0
8
0
0
16
16
30
4
0
0
0
0
0
8
8
40
8
8
0
8
0
8
8
8
8
16
16
16
16
16
16
16
16
0
0
8
0
0
0
0
8
8
8
0
0
8
8
0
0
1
1
1
1
2
2
2
2
2
16
16
0
0
1
1
0
0
8
16
16
16
24
16
16
8
0
8
4
4
4
4
12
17
8
8
2
24
32
0
0
4
2
2
0
2
0
0
0
0
0
0
6
0
4
0
0
0
0
0
0
0
16
0
1
16
0
8
8
0
4
0
4
32
4
4
1
0
0
16
16
16
16
0
0
0
0
0
0
0
16
8
8
8
0
9
9
18
0
0
0
6
32
16
0
16
16
16
16
16
16
16
9
9
9
9
9
9
0
8
9
8
16
16
16
16
16
16
40
2
2
2
2
2
16
2
0
16
16
16
16
0
0
16
0
0
8
18
8
8
8
8
8
0
0
0
0
24
8
8
8
8
8
8
16
32
8
8
0
0
0
1
1
16
8
4
4
4
16
16
16
16
16
16
0
16
32
32
0
0
16
16
1
1
1
8
4
1
0
8
8
8
8
8
0
0
8
16
8
8
0
4
8
2
0
5
5
2
2
0
16
16
40
40
8
20
2
0
4
4
4
0
16
2
16
16
0
0
0
0
0
0
0
4
8
8
8
24
24
24
24
16
4
16
16
16
16
0
1
16
16
0
0
0
1
0
32
4
16
16
16
28
1
1
1
8
8
8
8
0
0
4
0
37
37
37
16
0
16
0
16
8
16
16
8
8
0
0
0
8
30
30
8
6
0
0
0
24
8
2
0
0
0
0
0
16
16
0
2
2
1
1
1
0
8
4
16
16
24
24
16
63
0
0
1
1
1
0
0
40
0
17
1
1
1
0
8
0
0
0
0
0
0
0
0
0
0
8
8
1
0
4
4
32
0
32
0
0
0
8
8
8
5
16
16
16
0
3
20
8
8
8
0
16
16
1
0
0
0
8
0
0
0
0
0
16
16
16
0
0
0
2
2
2
0
32
8
1
16
16
16
24
16
40
0
0
8
2
2
19
18
18
2
4
16
0
0
8
0
0
0
16
0
8
8
8
8
2
8
8
16
18
8
16
12
16
16
0
0
0
33
1
8
0
0
8
24
24
24
16
0
16
0
20
0
1
8
8
0
0
0
8
2
8
8
8
0
2
2
2
0
0
2
8
0
4
0
16
0
16
16
4
0
10
10
1
1
24
0
0
0
8
8
0
0
0
1
1
1
4
0
0
8
0
0
8
8
8
8
8
4
4
4
0
0
0
8
0
16
8
8
16
16
33
33
4
4
0
27
0
0
0
48
48
0
0
0
0
16
16
1
0
0
0
4
0
0
4
0
2
16
0
0
9
0
16
16
0
16
20
0
0
0
8
8
0
0
0
8
8
8
1
9
4
1
9
4
4
4
0
0
0
0
0
0
16
24
2
2
8
8
24
24
16
0
0
0
0
0
0
6
8
8
8
8
8
8
4
4
4
4
8
0
0
0
0
0
0
0
24
24
24
24
24
8
8
8
2
8
8
1
1
1
1
1
8
0
0
0
0
8
16
24
24
8
8
4
8
8
13
17
16
16
16
0
1
0
0
1
8
24
24
16
8
0
0
0
0
0
0
1
8
0
1
4
16
16
16
16
0
0
8
8
16
8
2
2
9
2
8
0
4
4
4
4
0
0
16
1
4
0
0
16
0
0
0
2
16
16
16
12
12
12
12
12
12
0
8
8
8
16
0
0
0
1
8
4
4
4
0
0
0
0
0
0
8
0
32
16
16
1
4
4
4
4
4
14
14
0
4
0
8
8
19
19
20
16
16
16
4
4
4
4
16
16
0
0
0
2
0
32
32
32
0
16
8
2
0
16
16
6
2
0
0
8
0
4
8
0
0
0
0
16
16
16
16
16
4
4
2
2
16
0
16
16
40
40
40
32
16
36
24
2
0
2
0
8
0
8
8
8
8
8
8
8
8
16
8
8
0
16
16
0
0
16
16
16
16
8
8
8
8
8
8
8
8
8
4
4
0
0
0
0
8
8
0
2
0
0
0
16
16
16
24
8
8
8
8
8
8
0
4
4
4
2
0
32
4
0
0
8
0
18
16
1
11
16
0
0
16
16
16
8
0
8
0
6
16
0
0
0
0
16
16
8
0
2
4
4
0
8
8
8
0
0
0
0
0
0
0
8
8
0
0
0
0
8
8
8
0
0
0
0
0
48
48
0
0
40
0
8
8
8
0
9
0
0
0
9
8
8
8
0
0
8
0
0
0
0
0
0
48
4
4
8
8
32
16
0
0
0
24
0
0
4
0
0
18
18
0
16
16
16
8
8
8
0
0
0
0
0
8
8
60
32
8
8
2
8
0
8
8
0
16
8
1
16
16
0
4
8
0
16
16
16
0
8
8
8
0
0
16
4
4
4
0
0
0
0
0
0
0
0
8
8
8
0
16
4
4
4
4
16
4
0
0
0
0
0
0
0
0
8
8
8
8
0
0
0
0
0
0
0
0
0
0
4
0
8
0
0
0
1
1
18
4
8
0
8
8
40
0
0
16
0
0
0
0
2
0
0
0
0
0
0
16
24
24
24
24
0
0
8
0
0
0
4
4
4
4
4
4
8
18
18
18
8
8
0
0
8
24
40
40
40
16
16
0
8
0
8
0
16
16
16
36
16
16
0
0
8
8
8
8
16
16
17
17
8
16
16
24
16
16
0
0
8
0
16
8
4
16
0
0
0
0
0
0
4
4
0
5
5
0
0
0
0
10
10
10
16
16
0
8
0
0
8
8
16
0
0
0
0
0
16
0
0
16
8
8
16
4
0
4
4
4
4
16
16
0
0
0
0
0
0
0
0
0
8
8
8
6
6
16
0
0
16
24
0
0
0
4
4
4
1
0
0
8
8
0
0
0
0
4
4
0
0
0
0
0
0
0
0
16
18
4
4
8
8
8
8
8
8
8
8
0
4
0
11
8
0
0
0
40
40
8
0
0
0
0
0
9
9
16
0
0
16
8
16
8
1
0
0
0
0
0
4
4
2
0
0
8
1
0
1
0
16
16
16
0
16
16
0
0
2
2
0
0
0
0
10
8
0
0
0
0
0
16
17
8
0
0
16
8
0
0
0
0
28
32
8
0
0
4
0
1
0
8
8
8
0
0
0
8
48
4
4
8
2
8
8
8
24
24
6
8
8
8
4
9
8
0
0
0
18
57
32
24
24
24
24
26
26
42
4
8
0
8
0
9
0
16
16
0
8
0
16
0
2
0
1
0
0
0
12
16
16
16
16
0
16
0
8
0
0
16
16
16
16
8
8
3
2
2
16
8
8
8
0
0
0
0
24
0
0
0
8
8
0
0
0
8
8
8
8
8
0
0
0
0
32
0
0
0
0
4
4
1
1
1
1
0
40
8
8
0
0
12
8
1
0
0
0
8
0
16
1
8
26
26
8
8
2
2
2
2
0
0
2
0
8
8
0
32
0
2
2
0
8
8
8
0
0
16
32
48
48
48
5
5
5
5
5
0
5
0
24
0
0
0
0
0
8
8
0
1
16
8
8
8
2
8
0
0
0
0
0
8
0
0
8
0
8
0
8
8
8
8
0
0
0
0
16
0
0
8
0
0
8
8
6
0
16
2
8
0
0
8
0
16
16
16
2
2
8
9
17
17
17
6
0
0
0
0
8
8
17
8
16
16
16
0
16
16
2
2
2
8
32
32
32
0
16
0
0
0
0
24
2
0
0
0
26
26
26
1
16
8
0
26
26
0
32
32
16
0
16
8
8
8
4
0
8
16
0
0
0
0
8
0
16
16
16
16
16
16
16
8
16
16
0
0
2
1
8
12
12
12
12
12
12
12
12
12
12
12
12
12
12
12
12
12
0
4
4
2
16
16
0
8
26
26
8
8
0
0
0
2
2
0
8
8
8
0
0
0
16
16
16
16
1
0
4
4
4
0
8
0
8
16
16
0
0
0
0
0
0
0
1
0
0
0
16
38
0
0
0
0
0
16
8
16
32
32
16
16
2
5
5
5
5
5
32
32
48
8
8
8
12
12
12
12
40
8
0
0
0
8
0
0
8
2
16
16
16
16
8
8
8
8
0
0
0
0
16
16
0
8
8
8
16
4
1
25
25
25
0
16
16
16
16
8
8
4
1
1
1
24
0
1
1
1
4
0
32
0
16
16
16
0
0
8
0
8
16
0
24
0
16
16
16
16
0
4
0
16
8
24
0
0
0
2
1
1
1
1
1
0
0
16
0
0
0
0
0
0
0
0
0
16
1
1
8
0
0
0
2
8
0
0
8
16
16
2
16
16
16
0
16
0
0
0
18
20
28
0
0
32
1
1
1
1
1
1
24
16
1
1
1
1
1
1
1
0
4
8
0
0
0
1
4
0
0
0
4
25
16
16
8
8
0
2
0
0
10
10
10
40
40
40
40
40
40
40
16
16
0
0
0
0
12
12
1
1
4
0
0
0
0
0
10
10
8
8
4
4
24
24
24
32
4
8
0
8
8
0
0
0
0
0
0
4
4
16
16
16
16
5
5
16
16
16
16
16
8
0
8
0
0
0
16
26
2
2
1
2
0
16
0
0
0
28
16
0
8
8
8
8
0
9
8
20
0
0
48
48
48
0
0
0
0
0
0
0
0
0
8
8
4
4
4
0
40
28
8
16
16
16
16
16
32
16
0
16
16
8
8
8
1
0
16
0
8
8
8
20
20
20
0
4
4
4
8
8
0
0
0
0
0
0
8
8
8
12
0
17
0
0
0
0
0
0
0
0
0
8
8
16
1
0
8
0
0
0
16
16
16
8
2
2
4
4
4
4
8
0
0
0
0
0
48
48
48
0
16
0
0
8
0
24
24
2
8
8
8
8
2
2
0
8
4
4
8
0
4
0
16
16
16
0
0
32
32
8
8
2
2
0
0
0
7
8
0
0
8
16
16
16
4
8
8
28
0
0
0
0
4
4
0
8
8
8
1
0
0
8
1
1
1
1
0
0
0
0
8
0
6
0
0
0
0
4
4
8
8
8
8
4
2
2
1
1
0
0
0
0
0
0
3
0
8
8
8
8
4
4
4
4
8
8
0
0
0
8
8
0
8
1
4
0
0
4
0
8
8
0
0
8
8
0
0
0
0
0
0
0
8
0
0
0
52
52
0
0
0
4
8
0
29
20
16
0
10
10
0
0
0
0
0
0
0
8
0
0
16
16
16
16
16
16
0
0
2
8
41
20
8
8
0
24
8
8
28
16
17
8
0
0
0
8
8
8
0
8
8
8
16
16
0
0
0
0
0
8
0
16
8
0
0
0
0
0
0
0
0
8
8
8
0
30
16
4
0
8
8
0
16
0
4
0
16
16
0
0
0
0
0
8
8
4
4
4
4
4
16
8
0
1
1
1
16
12
12
12
4
4
4
4
0
0
0
0
0
4
4
4
8
4
4
4
4
4
16
16
16
16
16
16
16
16
28
28
28
28
16
16
8
8
8
8
8
8
8
8
0
0
0
0
0
0
0
0
0
1
1
0
3
3
8
8
8
8
8
0
16
20
20
4
0
0
0
3
0
16
22
0
0
0
8
20
8
0
0
4
16
16
0
0
8
8
17
14
8
16
0
0
0
0
0
0
16
16
16
2
2
0
0
0
8
24
16
16
16
16
4
24
0
16
0
16
16
16
1
1
1
1
0
0
0
24
8
8
9
8
16
16
16
16
0
0
8
8
0
0
8
0
0
1
1
1
16
0
16
16
16
16
9
9
9
0
0
0
0
2
2
16
16
8
0
0
8
0
0
0
6
2
16
0
8
0
0
0
8
8
8
0
0
0
0
22
22
1
1
8
8
8
16
16
16
24
24
24
8
0
50
16
32
32
16
16
0
24
24
2
16
0
0
8
8
16
16
16
0
0
4
16
4
4
4
8
8
8
0
0
4
1
40
40
40
4
4
8
0
0
8
8
8
0
8
8
0
8
16
0
0
0
10
0
0
4
4
4
4
4
1
25
8
1
0
8
24
24
0
8
8
8
16
8
4
8
8
6
8
0
8
0
0
0
16
8
8
8
0
0
32
32
0
0
16
16
16
0
8
24
4
3
0
0
24
9
0
16
16
8
0
0
0
8
8
0
0
0
0
8
8
1
1
0
16
16
0
0
16
16
24
16
16
0
0
0
16
0
16
1
1
1
1
1
1
0
2
2
2
2
0
8
16
16
16
16
0
0
0
8
8
0
0
0
8
0
8
8
0
0
0
16
0
8
4
1
0
0
0
0
4
0
0
2
0
0
16
16
0
16
16
2
2
16
4
4
4
8
8
0
0
10
4
0
0
0
0
16
16
16
16
0
0
0
0
8
17
17
17
17
17
0
0
16
16
16
16
16
16
0
16
16
0
32
16
16
16
0
8
8
16
16
8
0
0
0
4
0
0
0
0
0
0
0
0
8
0
9
5
8
8
8
16
32
0
1
1
1
4
8
1
8
8
0
0
8
16
4
10
1
1
1
1
1
0
0
8
8
16
0
0
0
3
4
0
16
8
8
8
8
8
8
8
32
8
8
16
16
0
0
32
0
0
8
0
0
16
0
16
8
8
1
1
1
2
2
2
16
15
8
48
16
16
0
2
2
2
2
2
2
2
2
32
32
32
32
0
0
0
0
0
0
0
0
2
2
8
8
16
0
8
8
16
9
9
8
8
1
1
1
1
16
16
0
16
16
16
0
0
2
0
8
1
1
1
0
0
16
0
0
48
0
0
16
16
0
0
0
0
0
4
4
4
4
16
0
0
0
4
8
8
4
0
20
0
9
1
0
0
32
32
0
0
16
8
8
0
0
12
12
4
4
4
4
0
0
2
2
0
0
0
0
2
2
8
0
0
0
16
16
16
16
0
0
16
8
8
8
12
12
8
0
0
0
0
20
0
8
8
0
5
8
0
8
0
4
8
8
8
1
1
8
0
1
1
1
16
16
16
0
16
8
16
0
16
16
16
16
0
0
8
8
24
0
0
0
0
0
8
0
1
1
0
0
16
0
2
2
2
0
0
0
8
16
16
8
16
16
8
0
17
17
17
17
2
18
0
0
2
0
21
8
0
32
0
0
8
8
8
9
9
16
0
0
0
0
24
16
16
16
16
16
16
0
16
0
0
8
16
29
29
16
16
4
4
0
1
8
1
17
4
4
4
2
2
2
2
2
2
8
0
0
0
0
16
16
16
4
20
20
16
16
16
0
0
0
16
16
0
0
0
1
0
0
0
24
4
0
8
8
0
8
11
0
36
16
16
16
8
8
16
16
16
16
8
8
1
1
1
8
1
0
8
0
0
0
0
0
0
0
0
8
8
8
8
16
16
16
0
0
0
0
0
0
16
0
0
8
8
8
8
1
16
0
0
0
16
16
0
1
1
24
8
8
8
16
16
16
16
1
1
8
0
0
0
0
4
0
0
0
1
16
1
1
9
16
16
16
8
0
0
0
0
0
8
24
8
8
0
8
0
56
16
4
4
8
16
16
8
32
16
16
16
16
16
16
16
4
8
8
8
0
0
0
0
1
1
8
20
20
0
16
16
0
0
0
0
0
8
0
0
0
0
8
8
8
8
8
0
0
0
0
16
16
0
0
0
1
24
0
0
1
4
0
0
8
8
0
8
8
8
8
0
8
8
1
2
8
0
0
18
18
8
1
0
8
0
0
18
18
18
8
8
8
16
16
16
16
0
16
16
16
0
2
2
2
2
0
0
16
8
0
0
0
24
24
8
8
8
8
8
8
5
0
16
16
0
0
1
0
18
0
0
0
0
16
0
0
0
17
32
8
8
8
8
8
0
8
0
0
0
1
0
0
1
0
16
16
8
0
1
8
8
8
0
8
8
32
32
8
16
16
16
0
8
8
8
0
12
0
0
8
0
0
0
0
0
0
0
0
0
1
1
1
1
8
0
0
0
0
16
16
16
16
16
8
8
1
0
8
0
1
1
1
1
1
0
0
0
8
8
2
2
2
2
2
8
8
8
8
16
8
0
0
1
1
0
16
16
16
16
16
8
0
0
0
0
0
4
34
0
0
16
0
2
9
8
8
8
0
0
0
0
0
0
0
0
0
1
0
0
8
24
16
0
0
0
0
0
0
0
2
2
16
16
0
0
0
8
8
8
8
29
29
0
32
32
24
24
0
0
17
17
17
17
0
0
0
0
0
1
0
8
1
1
1
32
32
0
16
18
0
16
16
8
8
0
0
32
16
4
6
6
0
0
0
0
0
16
16
8
8
0
4
4
1
8
32
32
1
4
4
4
4
0
0
6
2
2
2
0
8
0
0
32
24
8
28
16
16
16
0
0
0
8
24
52
16
8
24
8
0
0
0
0
8
2
4
4
24
0
0
0
0
56
0
0
36
36
36
0
0
0
19
19
17
17
17
0
0
22
4
2
2
2
2
2
0
0
8
8
8
8
0
8
8
8
8
8
8
1
0
33
0
8
8
16
16
0
32
0
22
22
22
22
0
19
1
0
0
8
8
2
2
0
0
0
0
0
0
0
25
0
16
8
8
8
4
8
1
24
8
8
0
0
8
8
0
0
16
8
8
0
0
0
1
16
6
6
0
16
16
8
8
0
0
40
40
40
8
8
0
8
16
0
0
0
0
8
0
0
0
12
0
17
17
16
16
16
0
0
8
8
8
8
16
2
16
16
16
0
0
0
0
8
8
8
8
8
8
8
8
8
8
0
0
8
8
8
16
0
0
0
0
0
8
8
8
0
0
0
0
0
8
9
4
8
19
16
16
16
16
21
21
0
0
0
0
0
0
0
8
8
16
8
0
0
0
0
0
0
8
8
0
0
0
0
0
8
8
0
0
2
2
2
8
8
8
0
1
8
0
0
0
0
0
8
1
0
21
21
0
0
0
8
0
16
16
8
48
8
0
0
6
6
8
0
0
6
6
6
16
16
16
6
0
8
8
0
0
0
0
0
8
0
0
32
0
0
17
0
28
24
0
2
2
0
1
1
4
0
0
8
0
0
0
24
0
0
4
4
8
0
0
4
4
4
8
0
8
8
8
0
8
0
0
1
16
16
4
4
32
21
21
21
24
1
1
0
1
4
4
4
4
8
32
0
8
16
4
0
16
16
0
0
0
2
2
51
16
0
8
8
0
16
16
17
4
8
8
8
0
1
1
1
0
8
0
9
9
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
16
4
16
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
8
8
8
8
8
8
8
8
4
4
4
4
4
4
50
50
8
0
1
10
0
8
8
0
0
16
0
8
16
16
8
8
4
4
13
13
16
8
8
0
4
16
16
16
25
0
0
0
0
8
0
8
16
0
0
0
0
24
0
0
2
0
0
0
0
8
0
0
0
2
0
8
0
6
16
16
0
0
0
21
0
8
8
0
0
0
2
2
8
5
8
16
0
0
0
0
0
8
8
8
8
0
0
2
2
2
0
16
0
8
0
0
9
8
1
1
0
0
1
25
8
8
16
16
0
0
8
2
0
0
16
28
28
8
8
8
24
8
16
1
1
0
0
0
0
0
0
14
0
8
8
16
8
16
0
0
8
24
24
32
32
16
16
16
2
2
8
1
1
1
0
8
8
8
0
0
0
0
0
0
0
0
0
4
2
18
0
8
32
32
8
1
1
16
8
8
0
9
16
8
32
32
8
8
0
0
0
1
0
8
8
0
0
0
2
0
0
4
4
4
4
4
8
8
8
4
22
0
0
0
0
0
0
16
8
0
16
8
1
4
4
0
1
1
1
1
0
0
0
0
0
0
0
0
8
8
1
0
2
0
16
16
16
16
0
0
0
8
8
16
8
4
4
4
4
2
2
8
8
8
8
8
8
8
8
8
1
0
0
0
1
16
16
16
16
20
0
0
0
8
0
0
16
16
16
0
8
0
0
0
0
0
4
0
0
8
4
0
0
8
0
9
9
2
2
6
4
4
1
2
2
0
0
0
0
0
8
8
8
8
8
8
8
0
0
16
16
8
0
12
8
32
0
0
4
0
0
0
0
8
9
9
9
9
0
0
8
16
8
8
0
0
29
29
0
0
0
16
16
0
0
4
4
4
8
16
8
16
2
2
0
16
16
16
32
32
40
32
32
32
32
0
0
0
8
8
8
8
0
8
0
0
0
4
4
0
0
0
16
16
16
16
16
16
16
16
2
16
16
0
0
0
10
20
20
1
2
8
8
0
0
8
26
8
8
0
16
1
0
1
1
1
8
0
0
0
0
0
16
0
0
0
2
16
16
0
8
8
8
8
8
16
16
16
16
16
8
0
8
0
0
0
20
20
2
8
0
16
16
4
8
16
16
32
8
8
8
0
29
1
16
57
0
40
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
4
4
0
0
0
8
0
0
0
24
24
16
0
8
0
0
20
20
20
0
0
16
0
0
8
2
3
3
0
24
24
0
16
8
0
0
8
8
8
8
1
1
1
1
1
1
0
8
8
8
8
9
1
8
8
17
8
8
8
16
8
8
16
16
0
1
0
4
4
4
4
4
4
0
16
16
16
0
0
16
0
0
0
4
0
16
16
16
16
8
8
10
8
9
9
8
8
8
8
12
0
0
8
8
0
4
2
1
4
2
2
16
16
16
0
0
0
0
8
0
0
0
2
0
0
0
0
0
12
18
18
16
1
1
1
26
9
0
4
8
8
8
8
8
12
0
0
8
8
8
0
0
16
0
0
2
0
0
22
0
1
0
8
8
8
0
0
0
0
8
24
3
8
8
8
16
8
8
8
8
8
1
1
2
4
8
8
0
0
0
8
8
16
16
16
0
0
24
8
18
18
0
8
0
0
8
0
0
0
0
0
8
8
0
8
32
24
24
8
0
24
8
8
8
8
8
8
8
8
17
17
8
8
8
16
8
8
0
0
0
8
4
60
60
60
10
8
12
12
0
16
0
0
0
0
0
16
0
0
0
16
0
16
2
16
0
32
0
0
8
1
0
24
16
0
0
1
1
0
0
0
1
32
8
8
8
8
1
8
0
8
0
0
0
0
0
16
16
0
0
2
2
2
1
1
0
1
28
0
8
0
0
16
0
0
8
0
0
0
0
0
2
0
0
0
0
4
20
0
16
16
24
32
32
16
8
8
12
35
16
6
24
16
0
0
0
0
8
8
8
16
16
16
16
16
24
24
4
8
1
17
17
17
17
0
2
0
0
0
0
16
16
0
8
18
0
0
0
16
20
8
8
46
0
0
0
0
0
0
0
8
8
20
16
16
16
8
8
8
0
0
0
0
8
0
1
1
1
0
0
4
16
16
16
30
4
1
56
8
0
16
16
16
0
0
4
4
4
8
8
8
8
24
8
8
8
16
16
16
24
24
24
16
0
2
0
16
21
3
0
0
0
0
0
0
4
8
8
8
16
8
16
8
0
0
0
8
0
40
16
0
0
6
6
0
0
0
0
0
0
0
0
18
8
2
8
8
8
1
1
1
0
16
17
17
0
18
0
1
0
0
0
12
12
12
12
2
0
0
1
24
24
24
0
8
16
0
0
0
0
1
1
1
1
1
1
1
1
0
12
12
12
12
12
0
0
0
0
8
0
0
0
0
16
8
8
7
7
8
8
8
16
0
0
17
17
17
8
2
0
0
0
0
0
0
0
11
1
6
0
0
0
4
0
24
0
17
16
16
16
16
16
8
8
0
0
0
0
0
0
0
32
32
32
16
0
0
0
0
8
16
16
2
1
16
8
8
4
8
0
8
8
8
8
2
0
4
4
4
4
8
4
4
2
0
0
16
0
0
1
0
0
0
0
0
8
8
8
16
16
16
0
0
8
8
8
8
42
42
8
8
4
4
4
8
8
36
2
8
8
8
8
8
8
8
8
8
8
8
0
16
16
2
2
8
8
0
0
16
16
0
4
8
8
8
0
4
4
0
0
17
8
8
16
1
1
0
0
0
0
0
0
20
0
16
2
2
2
2
4
4
15
4
8
0
8
16
0
2
8
8
0
0
8
8
8
16
0
0
8
8
1
8
0
0
0
4
16
16
0
16
2
2
2
2
2
0
4
4
0
0
0
0
16
0
0
2
0
16
16
0
20
0
0
37
0
0
0
20
20
0
0
0
0
0
0
1
0
0
0
0
24
24
0
16
16
16
16
16
8
8
4
8
8
8
16
20
20
4
0
0
8
0
16
8
2
2
2
0
0
24
0
2
0
0
0
0
8
8
8
4
16
16
16
16
16
20
20
20
8
8
0
33
0
0
8
4
32
5
5
5
0
1
24
24
24
8
8
0
16
0
0
0
0
0
0
0
0
0
0
16
4
4
16
0
0
0
8
16
16
16
16
16
8
0
16
0
16
16
0
0
2
8
16
16
16
8
8
8
12
32
0
4
8
0
0
0
0
0
32
32
0
20
20
4
18
4
32
8
8
8
0
8
8
0
0
0
8
16
16
0
8
8
8
8
20
20
16
16
0
0
0
16
0
0
0
8
2
2
0
0
16
32
0
0
8
8
0
16
0
16
0
1
9
9
9
32
9
9
16
16
0
0
2
4
4
24
24
1
1
16
16
8
8
0
8
8
4
4
4
5
5
0
0
1
20
16
0
8
8
16
0
48
48
0
17
1
8
0
0
1
17
0
1
1
1
0
8
0
0
2
2
2
2
0
0
8
8
16
16
16
0
0
0
4
1
0
9
0
8
0
0
0
0
16
0
2
2
1
8
0
0
0
16
8
8
8
8
8
0
1
1
2
4
4
0
0
2
2
0
0
0
0
42
42
16
4
4
4
16
16
1
1
44
44
44
24
24
24
8
8
8
0
0
0
8
21
0
0
0
0
4
4
0
8
8
8
8
0
16
16
0
0
0
2
2
0
0
16
16
16
0
0
0
0
16
16
0
8
8
8
8
2
1
1
8
0
16
0
0
0
0
0
0
0
0
8
8
0
0
32
8
0
0
32
32
32
16
16
0
17
16
16
8
4
4
4
16
8
24
24
16
0
4
0
0
0
1
4
8
8
2
16
22
2
8
0
0
8
25
25
16
16
2
16
8
8
12
12
8
8
24
1
8
0
0
0
0
0
0
0
0
0
0
0
8
48
0
0
16
16
0
8
24
2
0
0
2
2
5
1
1
1
0
16
1
0
8
8
16
36
40
0
0
0
16
16
16
8
16
4
0
2
4
4
1
0
0
40
8
0
0
0
0
8
8
8
0
0
1
33
0
16
0
0
0
0
33
33
8
8
8
1
1
1
1
8
12
2
8
0
0
16
16
16
8
0
16
16
16
8
8
8
16
6
2
0
16
16
2
2
0
28
4
0
8
8
8
8
16
24
8
8
18
0
0
24
16
8
16
8
2
0
0
17
16
16
0
16
16
16
0
8
0
0
38
1
1
0
8
8
0
0
8
8
8
8
16
16
16
20
0
0
16
16
16
24
0
32
32
50
2
0
8
8
8
48
48
0
0
0
0
0
16
16
16
48
48
8
8
40
0
0
8
0
0
0
0
16
8
8
8
0
0
0
0
0
24
4
0
8
8
8
19
0
8
4
1
0
0
0
0
0
0
0
0
5
5
5
0
0
1
1
0
8
0
8
0
0
8
8
8
0
0
0
8
8
0
8
16
16
4
4
17
16
8
8
0
0
0
0
8
8
8
1
18
8
32
0
0
0
1
9
9
0
0
0
0
0
0
0
0
0
0
8
8
16
0
0
16
16
16
8
8
16
16
0
8
0
0
0
0
8
8
0
4
16
16
16
16
8
0
19
0
9
1
1
1
17
17
17
17
16
16
16
8
8
8
8
8
16
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
8
8
8
8
0
8
60
0
8
8
8
0
16
8
0
0
0
8
24
17
0
0
8
0
0
0
4
1
1
0
0
8
32
32
0
16
16
2
12
1
1
1
1
1
1
0
8
8
8
8
8
4
4
0
32
0
0
0
0
0
0
0
0
0
0
0
0
0
4
29
0
12
12
0
16
2
0
2
2
1
10
0
8
8
1
1
16
0
8
8
8
8
0
0
0
0
32
16
16
1
16
16
1
0
0
4
4
8
8
0
0
32
32
4
0
0
48
0
24
4
4
1
1
1
0
0
8
0
0
0
0
0
32
16
16
0
16
16
16
8
8
8
8
8
8
4
4
16
12
12
24
16
0
0
0
16
16
16
0
8
16
16
0
16
4
4
16
16
2
1
0
8
8
8
8
8
16
16
0
0
0
0
0
0
16
1
16
0
0
0
0
0
24
8
8
8
8
8
8
16
0
0
0
0
0
8
8
8
0
8
28
28
16
8
24
16
16
8
8
8
8
8
8
0
0
0
0
0
0
8
8
8
0
1
16
16
16
16
0
0
0
0
0
0
0
0
0
0
0
16
8
8
1
1
0
0
0
1
8
8
1
1
1
1
16
8
0
0
0
8
0
32
32
32
18
18
8
14
14
1
1
0
0
0
8
8
0
0
1
4
4
0
8
8
0
8
8
0
16
16
16
0
0
0
0
12
12
0
0
0
1
6
6
8
8
1
1
1
0
0
0
6
8
0
2
2
0
1
1
1
4
0
16
16
8
8
8
8
4
8
8
8
8
8
27
27
16
0
8
0
8
16
16
0
0
8
0
0
32
32
32
8
8
8
4
8
8
0
4
4
8
8
0
0
0
0
0
0
0
0
0
0
8
4
4
4
8
0
0
0
0
8
0
0
0
1
1
1
8
0
8
57
0
2
0
0
2
16
16
16
16
21
0
17
16
0
0
16
8
0
16
48
16
16
16
16
16
16
0
0
0
24
24
0
0
0
0
1
0
16
16
24
8
8
0
24
8
8
0
0
8
0
0
24
1
17
0
9
1
1
8
8
8
8
0
4
4
4
0
0
8
8
8
0
4
4
4
4
24
0
0
8
8
8
8
8
8
8
0
4
1
2
0
0
1
1
16
20
16
16
0
8
0
8
8
0
16
8
8
8
4
4
20
20
0
4
4
4
8
8
0
16
16
16
16
16
2
0
0
8
0
0
0
0
0
0
0
24
4
4
4
8
8
0
0
16
16
0
2
8
8
16
0
2
0
2
0
0
16
16
8
16
0
0
4
4
16
16
0
0
2
0
0
0
0
0
24
24
0
0
0
0
16
0
0
24
24
24
0
8
8
8
8
8
8
16
16
4
8
24
1
1
1
0
0
16
16
8
1
0
30
0
2
0
0
0
16
16
8
8
16
16
0
0
0
0
0
12
1
0
16
0
0
0
8
4
4
0
24
0
0
0
0
9
20
8
8
2
0
16
16
16
16
0
0
0
2
24
0
0
16
0
0
8
8
4
4
8
0
0
0
2
0
0
8
8
8
1
1
1
16
16
8
8
8
4
0
16
32
8
8
1
1
1
1
0
1
0
16
16
0
0
20
8
8
4
4
4
40
0
0
24
24
24
24
24
24
0
8
8
4
16
16
16
16
0
8
8
8
8
8
8
0
0
0
0
8
8
8
8
16
16
0
8
17
17
17
0
0
0
0
2
0
0
0
0
0
0
16
16
16
16
16
16
16
16
1
16
2
8
0
0
0
0
8
8
10
0
29
0
0
8
1
1
2
34
16
16
8
9
9
9
9
9
16
16
16
16
16
0
16
0
16
16
0
4
8
16
0
2
16
0
16
16
16
16
0
16
16
8
8
0
40
40
40
0
0
8
0
27
1
0
16
14
8
0
0
0
0
0
4
0
0
2
0
0
0
0
2
0
0
0
2
2
0
0
1
8
8
16
0
0
0
16
16
16
16
16
0
0
0
16
16
0
8
8
8
8
5
16
8
16
8
8
8
2
16
0
0
4
8
1
0
0
8
0
8
8
0
0
16
0
13
16
8
0
0
0
16
16
16
22
22
22
22
16
16
0
16
8
0
0
0
16
16
0
8
8
8
8
8
8
8
0
8
8
8
8
8
8
0
16
16
16
8
0
0
8
0
0
0
0
0
38
16
16
16
16
16
32
0
0
6
24
24
16
0
0
8
0
0
4
4
4
8
8
24
13
13
25
16
0
0
0
8
0
0
2
6
6
0
12
12
12
8
16
0
0
0
7
0
1
0
0
0
1
2
0
24
8
0
17
1
1
1
1
1
0
1
1
1
0
4
16
0
0
8
0
0
8
8
0
0
0
0
1
1
16
1
1
0
0
0
1
0
0
0
8
8
8
0
0
16
1
0
0
2
1
8
16
16
16
16
16
0
4
0
0
0
4
0
8
8
8
8
16
0
0
0
8
0
0
0
2
2
16
16
32
0
0
0
0
16
8
0
8
0
0
32
16
16
16
8
2
16
0
0
16
1
8
16
16
0
0
0
0
0
16
8
30
0
16
16
16
16
8
8
32
8
8
0
8
8
8
8
8
16
0
0
16
1
16
8
0
0
0
0
1
0
8
8
0
0
16
0
0
0
0
0
0
0
0
0
8
0
16
8
16
16
16
0
0
0
8
1
40
40
40
40
8
8
2
2
0
8
0
0
0
0
0
0
0
8
8
8
8
2
20
0
0
8
8
1
8
8
8
8
8
0
0
0
8
0
0
1
1
1
0
0
1
0
0
1
8
24
24
0
0
0
1
0
0
0
0
0
8
8
0
8
0
0
0
44
44
44
44
0
16
24
24
0
0
0
0
2
2
0
0
0
0
0
4
16
16
16
0
24
1
8
0
0
16
16
16
16
16
0
0
0
0
24
8
8
0
8
8
8
8
8
0
6
16
0
0
17
17
17
17
17
17
0
8
8
4
4
32
0
8
0
0
0
8
0
0
8
8
8
16
16
0
0
0
0
16
0
16
8
4
4
8
32
32
0
0
8
8
8
8
16
16
8
8
8
8
2
2
2
2
8
8
2
0
0
0
0
0
0
0
12
20
16
16
0
0
0
0
1
1
0
0
0
0
8
8
8
0
0
0
0
0
16
16
16
25
8
0
16
2
0
0
0
0
0
0
8
20
9
8
8
0
8
8
0
28
0
0
0
0
0
0
4
0
16
8
20
0
0
0
0
0
0
1
16
0
0
8
0
8
1
16
2
8
8
8
0
8
32
32
32
32
32
8
16
0
0
0
0
0
18
18
0
0
8
32
0
1
32
32
0
0
0
0
16
16
16
0
16
16
0
0
0
20
0
16
16
8
8
17
0
8
0
0
2
2
16
12
0
0
0
18
18
18
8
8
8
0
16
24
2
2
2
2
0
2
2
8
8
8
0
8
8
0
32
32
0
32
0
0
0
0
0
0
0
0
33
2
2
4
4
4
0
4
4
0
0
8
18
0
0
0
0
0
0
0
0
0
8
8
1
32
0
0
16
16
16
16
16
4
4
8
8
8
0
0
0
10
16
16
2
2
2
1
32
1
1
1
8
0
16
0
16
16
0
32
16
8
8
4
4
0
0
0
0
0
0
0
8
16
0
0
0
0
8
8
0
16
16
16
16
32
8
8
0
4
4
8
1
1
0
2
1
1
16
32
0
0
8
16
4
17
17
0
0
0
0
0
0
32
32
32
32
20
0
0
0
0
0
0
2
20
4
4
2
4
8
0
0
0
0
0
0
0
8
0
0
24
1
16
16
32
1
0
0
2
2
1
1
1
20
4
0
0
0
17
16
0
16
4
4
4
4
0
0
0
8
8
8
0
24
24
24
0
8
8
8
16
16
8
8
0
0
0
9
1
1
1
16
0
8
8
2
0
8
8
8
8
0
0
0
2
0
8
8
0
0
0
4
8
8
0
8
8
4
24
0
0
2
2
0
0
0
8
0
0
16
0
16
4
8
8
8
9
0
16
16
0
0
16
1
1
1
1
1
16
0
0
0
0
0
0
0
0
1
1
24
0
0
0
0
8
8
24
8
0
24
16
0
0
0
0
0
2
0
0
0
16
16
16
16
24
0
8
8
8
0
0
1
0
2
2
8
8
0
0
1
0
0
0
0
2
2
0
0
8
4
4
0
8
0
0
0
0
0
8
8
40
4
0
0
0
8
8
8
1
1
1
1
0
8
8
8
8
16
28
1
56
4
4
0
0
8
0
16
0
8
16
16
16
0
17
17
16
1
0
0
16
16
16
16
0
16
16
4
4
0
1
1
0
56
56
8
0
0
0
0
0
0
16
0
8
4
8
0
0
42
8
0
0
16
16
1
8
2
2
8
8
0
0
0
0
16
16
16
16
0
16
8
8
8
16
0
16
0
0
8
1
0
0
0
4
8
0
0
0
0
0
0
16
17
32
32
32
32
8
8
0
10
10
8
12
4
16
4
0
0
16
1
0
0
0
0
9
9
16
16
16
2
0
0
0
0
35
35
35
40
8
8
0
24
16
0
16
8
0
0
0
0
0
16
50
50
4
4
4
4
8
8
8
8
8
8
0
16
16
8
8
8
8
8
8
2
16
16
16
16
0
0
0
0
0
0
0
16
16
16
0
0
16
16
8
8
8
8
20
16
2
2
2
2
2
0
17
25
0
8
8
0
0
0
32
32
32
8
11
0
8
16
16
0
1
0
0
0
0
0
16
20
0
16
0
8
0
0
0
16
8
8
8
0
8
8
8
8
0
0
0
0
0
3
0
0
4
0
1
1
1
0
40
40
0
32
1
1
1
16
16
16
16
0
0
0
0
0
0
32
1
8
8
8
8
8
8
8
8
0
1
8
8
0
0
0
0
12
8
0
0
0
0
0
0
18
0
0
16
16
16
16
16
16
2
8
8
0
4
4
4
4
4
4
24
24
24
16
8
2
8
8
16
0
8
8
4
4
0
0
0
8
1
1
1
8
0
9
0
16
16
16
0
17
8
0
0
8
0
1
16
0
2
2
2
2
2
2
0
18
18
0
0
0
0
9
8
8
8
8
0
0
0
12
12
17
17
17
0
0
0
0
0
24
0
0
0
0
0
0
0
0
16
5
0
0
4
4
4
4
0
0
0
16
8
0
0
8
8
8
8
8
8
0
0
0
16
16
16
16
1
0
0
0
4
4
0
0
6
0
16
0
0
8
0
0
1
1
0
24
8
8
0
0
16
16
0
0
1
1
1
1
0
8
8
0
8
1
1
0
0
0
1
16
16
24
16
24
2
2
8
8
4
4
4
4
4
0
0
0
0
4
8
8
0
0
0
0
0
12
1
0
0
1
1
16
16
16
24
24
1
0
0
0
4
16
4
0
8
8
8
8
25
16
16
16
16
4
48
8
2
2
0
0
12
16
16
0
0
18
0
0
0
0
0
0
57
0
0
12
4
4
4
4
4
4
4
2
0
0
0
0
4
0
0
0
20
8
0
0
0
4
4
4
0
0
2
2
2
2
8
16
1
1
0
0
0
0
0
8
2
2
2
16
8
1
0
0
8
0
0
0
0
16
1
2
4
0
1
1
1
2
2
2
2
2
0
16
16
4
4
4
0
16
4
8
8
1
0
8
8
0
18
16
16
16
10
16
8
0
0
8
0
32
32
32
3
8
0
1
1
1
16
0
1
1
1
1
8
8
8
8
6
8
8
0
0
0
8
8
8
0
1
0
8
8
0
0
0
24
0
0
16
8
17
17
0
0
15
15
9
9
2
0
0
8
8
8
8
8
8
8
8
8
16
16
1
0
0
0
0
0
20
0
16
0
0
4
48
2
0
8
16
16
24
16
8
8
0
9
9
4
0
0
0
0
8
24
8
16
16
0
32
0
8
8
0
0
0
8
6
1
0
0
0
0
0
1
1
8
0
0
0
8
8
0
0
0
0
32
0
8
16
16
0
0
0
0
0
16
16
16
16
16
8
0
0
2
2
2
0
0
8
1
0
0
16
0
0
0
0
0
16
16
16
16
16
16
16
16
8
8
8
0
15
15
16
24
24
24
24
0
1
0
0
0
0
0
0
0
8
0
0
16
13
0
0
2
0
16
16
0
0
0
8
8
8
8
8
0
8
0
4
4
8
0
16
16
16
0
4
4
20
8
0
8
8
16
0
0
8
16
16
16
8
16
16
0
16
0
1
16
16
16
16
16
16
1
8
0
0
0
0
18
18
18
0
0
0
0
0
0
0
4
4
4
4
16
16
4
4
8
0
16
16
4
29
0
0
0
0
0
0
16
0
0
0
0
8
8
0
0
0
0
0
0
0
8
8
8
32
8
0
0
0
0
0
0
0
8
8
8
8
8
0
3
8
8
2
16
17
17
16
0
0
0
8
8
0
0
8
16
16
16
24
0
0
8
17
8
8
8
0
0
16
16
0
0
0
16
16
16
16
16
16
1
0
0
8
8
11
11
0
0
16
0
2
17
0
0
16
0
4
4
4
1
16
1
1
2
0
0
0
0
0
16
8
8
1
16
8
8
24
24
16
0
4
0
0
8
8
0
0
16
0
0
4
4
8
0
0
0
0
0
8
8
8
8
8
57
4
4
4
16
8
8
8
8
8
8
8
8
0
0
0
0
0
0
0
0
1
1
1
1
16
0
0
8
2
0
16
16
0
8
8
1
1
8
8
8
8
0
0
0
8
8
8
1
1
8
16
16
4
16
1
0
8
0
8
0
0
0
0
0
8
16
8
8
32
8
0
0
8
12
8
20
20
8
4
0
0
0
0
0
2
2
2
2
0
8
32
12
4
4
0
0
16
0
2
0
24
24
24
24
24
1
0
16
16
0
0
0
8
8
8
1
16
0
16
1
16
16
16
0
0
8
8
8
32
0
0
18
18
0
8
8
0
0
0
32
32
16
0
42
9
16
8
0
0
0
8
8
0
17
8
0
0
0
8
8
8
8
17
17
17
16
8
44
44
16
0
8
8
0
0
1
0
48
8
12
16
0
0
0
0
1
0
11
11
0
0
0
0
16
16
16
2
0
0
0
1
0
0
8
8
8
16
0
0
8
8
9
8
16
16
0
0
1
8
8
24
0
8
8
8
0
8
0
0
0
0
0
0
0
8
18
2
8
4
4
4
0
4
4
16
8
8
2
0
0
8
16
16
16
16
16
16
16
0
0
8
16
8
16
8
8
8
0
0
0
0
4
4
4
28
8
8
8
24
0
0
0
0
0
0
0
0
16
16
0
1
1
1
0
8
16
6
6
18
0
0
0
0
6
0
1
8
8
16
16
16
5
5
8
8
0
0
0
0
0
0
6
0
1
0
0
0
16
8
26
8
8
16
16
16
16
8
0
1
1
0
0
0
8
8
0
0
0
0
16
16
2
0
0
0
0
16
17
2
0
2
8
0
16
2
2
18
8
0
0
0
0
8
0
0
8
16
8
0
0
16
2
2
2
8
20
8
2
8
0
0
0
0
0
4
0
0
16
16
16
16
16
4
8
8
0
0
0
2
1
1
24
4
16
16
16
16
16
16
16
8
8
8
8
24
0
0
8
8
4
16
16
1
8
8
16
0
0
16
16
16
16
16
0
8
8
0
8
0
16
0
0
8
0
0
0
0
0
24
1
1
1
16
0
0
0
16
0
0
8
8
16
8
8
0
0
0
0
8
0
33
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
1
1
1
1
0
0
0
16
16
16
0
8
16
8
8
8
8
2
0
0
0
0
16
1
4
4
12
0
0
1
0
8
8
0
2
2
2
16
8
8
16
0
0
8
8
28
28
28
28
2
2
16
8
8
16
16
8
0
16
16
8
8
8
1
1
8
0
0
0
0
0
0
0
1
1
1
1
16
8
5
10
0
0
0
0
0
0
32
32
8
8
0
8
8
8
16
8
0
12
12
8
8
17
0
24
16
2
0
18
18
2
8
8
8
8
0
4
1
16
4
16
16
16
2
0
4
4
4
1
8
1
1
0
16
16
16
16
16
16
1
0
0
20
20
20
1
16
0
8
0
0
0
0
0
1
32
8
48
48
0
8
16
16
16
48
48
48
48
0
0
0
0
8
16
0
2
2
0
0
8
0
0
0
0
0
2
18
18
0
0
0
1
8
8
1
0
8
8
24
16
0
0
0
0
0
16
16
0
8
2
16
16
1
1
1
2
0
8
24
0
0
0
0
4
0
0
0
0
0
0
0
0
4
8
8
0
0
16
28
8
8
8
16
8
0
0
0
16
8
16
16
16
0
0
0
0
0
0
0
4
16
9
9
0
0
2
2
8
0
17
16
16
0
8
0
0
8
16
2
2
2
2
4
0
9
0
0
0
0
0
8
8
8
8
0
0
8
0
0
0
8
4
9
8
1
0
0
0
8
0
0
0
16
16
0
0
24
0
0
10
2
0
0
1
24
16
24
2
0
56
4
4
0
0
0
1
0
8
8
8
8
0
0
16
16
8
16
0
1
1
16
16
8
8
0
0
0
0
0
8
4
6
0
0
2
2
2
16
0
0
16
16
2
8
0
16
0
2
2
2
2
2
2
16
32
0
0
16
16
16
16
16
2
2
0
0
16
16
0
0
0
8
0
0
0
16
0
0
16
0
0
0
8
8
0
0
0
0
8
0
9
9
0
8
16
0
8
16
16
8
6
8
0
8
0
0
0
16
16
9
45
45
45
4
16
5
8
8
16
16
16
16
0
0
4
4
4
4
16
0
0
16
16
8
4
0
0
0
0
0
0
0
0
20
2
0
0
8
1
0
4
16
8
0
0
8
0
8
8
8
18
8
0
8
8
2
2
2
2
0
8
0
0
0
0
1
1
1
1
0
0
8
8
8
16
8
8
8
0
4
8
2
0
16
0
16
16
0
8
16
8
24
0
0
0
0
16
16
8
8
0
0
0
0
0
4
4
4
0
0
0
0
0
0
8
2
4
4
17
4
0
0
0
24
24
16
16
24
8
8
8
8
8
2
2
8
8
8
8
8
4
41
24
8
8
16
16
16
16
16
0
0
4
4
4
0
0
0
0
4
0
16
16
24
24
0
0
4
10
10
10
16
1
1
0
16
0
0
12
12
12
8
1
1
0
9
8
4
8
0
0
0
0
8
8
8
0
8
8
4
4
4
32
32
0
0
32
2
2
2
2
8
8
8
8
16
0
0
0
16
0
16
41
41
41
41
41
0
48
48
48
16
0
1
0
0
0
8
8
8
8
16
0
2
2
2
2
2
0
0
12
0
0
0
16
16
16
16
16
0
0
0
49
1
24
0
0
0
0
8
16
16
32
1
1
16
16
8
8
16
16
16
4
0
32
16
8
8
8
8
8
0
0
0
4
4
4
20
8
32
32
8
16
24
0
0
1
1
1
8
8
8
8
0
0
2
2
16
16
16
16
16
26
0
0
0
0
0
8
2
0
0
16
16
16
4
4
4
0
8
30
4
4
4
4
8
0
16
16
16
0
0
16
8
33
33
8
8
8
0
8
0
8
0
0
0
0
16
16
0
8
8
2
16
0
0
0
0
16
0
1
2
2
0
0
0
8
16
0
0
8
16
0
8
0
4
16
0
0
8
0
0
16
8
0
16
8
0
19
4
4
0
0
0
0
0
0
0
8
17
17
17
17
4
0
0
0
0
0
0
0
0
0
0
0
17
8
8
16
0
0
0
0
0
0
0
0
0
32
16
16
16
0
8
0
1
32
0
0
8
8
0
0
0
8
0
0
0
1
1
1
1
1
0
8
8
16
48
0
0
0
55
55
55
55
4
0
16
0
16
16
0
16
16
2
16
16
16
16
8
1
16
0
8
8
8
1
1
0
0
8
0
0
0
16
0
8
8
8
8
4
4
4
4
0
8
0
0
0
8
8
0
16
32
1
8
20
0
0
0
1
2
2
1
8
8
0
16
16
0
4
4
4
8
12
12
0
0
8
0
0
0
7
4
4
4
8
16
16
0
0
8
8
8
8
8
8
8
8
8
2
2
0
8
0
0
0
22
4
0
4
4
4
4
8
24
0
16
0
11
0
1
0
0
0
48
48
16
8
0
0
2
22
16
16
16
16
16
16
16
8
8
0
4
16
0
0
32
32
0
0
16
1
0
0
0
4
4
0
16
16
16
16
16
0
8
8
24
2
0
16
16
16
8
16
16
16
16
16
0
0
0
8
0
56
16
12
8
8
16
16
16
16
16
8
8
8
8
8
8
1
9
4
4
4
4
4
0
0
20
8
8
28
28
0
0
0
0
40
40
36
36
0
0
0
0
0
8
16
16
16
16
16
16
0
1
0
0
4
1
16
0
0
0
0
0
8
8
8
8
8
2
0
0
0
24
0
8
16
16
40
8
8
2
0
0
4
0
0
16
0
8
32
32
16
0
0
17
17
0
0
0
0
0
16
16
0
8
0
1
8
8
8
8
8
8
1
0
9
9
9
9
0
8
0
0
2
2
2
0
0
0
8
0
0
16
4
0
16
16
0
8
8
0
32
32
32
32
1
0
8
0
16
0
0
0
0
0
0
0
0
8
0
19
4
8
0
4
4
0
8
0
8
0
9
8
8
8
8
8
8
16
16
1
1
8
8
8
8
2
8
8
0
0
0
0
0
8
0
8
8
0
10
10
10
10
1
32
0
0
16
16
12
10
0
0
0
0
0
0
0
60
0
0
1
8
32
16
16
16
0
0
0
1
8
0
25
25
25
0
16
16
16
0
0
4
4
2
16
16
16
16
0
21
16
16
16
16
16
16
4
4
4
4
4
4
1
8
4
16
16
8
0
0
1
0
0
0
18
16
16
1
0
1
8
2
8
8
16
17
16
16
16
16
0
0
0
0
0
20
2
2
8
8
0
0
16
16
0
0
4
4
0
0
0
0
8
0
0
16
8
16
0
16
16
16
0
2
0
0
16
0
0
2
1
1
1
1
0
0
24
4
16
8
8
0
0
0
2
0
57
57
8
8
16
30
16
16
0
16
16
24
24
0
16
0
0
1
1
1
4
1
1
8
0
16
0
0
0
0
4
0
1
8
8
12
5
5
5
5
0
0
0
8
16
8
8
8
8
8
8
24
16
16
16
16
18
18
18
18
0
1
0
8
0
8
8
0
0
0
1
0
0
4
2
2
2
2
0
0
8
0
8
8
8
8
16
8
8
0
0
0
8
0
4
2
2
26
26
26
0
0
0
0
8
4
4
4
0
0
1
0
16
16
24
2
19
19
16
8
0
0
8
8
10
8
8
8
0
0
5
5
0
2
8
8
1
0
10
2
8
16
0
0
0
4
4
0
44
0
8
0
8
24
24
24
24
24
8
0
0
8
8
0
12
0
0
0
0
0
2
2
2
2
8
0
8
0
0
0
0
2
2
2
2
2
2
4
4
0
16
32
0
0
1
1
0
0
8
1
1
0
16
2
2
0
4
1
8
16
20
16
56
56
16
0
8
1
20
20
16
16
16
16
16
0
16
16
16
0
16
16
4
4
4
4
4
4
0
4
4
16
16
0
0
0
8
0
33
0
8
12
0
2
2
8
8
8
8
0
0
0
0
0
0
16
0
0
0
8
8
0
0
8
8
0
20
20
8
16
8
8
0
0
16
16
16
1
1
0
0
0
8
0
8
32
12
12
0
0
1
1
8
1
1
1
1
1
1
1
0
0
0
21
8
8
0
8
6
0
0
8
0
1
1
8
4
8
0
1
0
0
0
0
32
32
32
16
16
8
8
8
0
0
8
16
1
0
1
1
1
12
0
8
16
16
0
16
16
16
17
32
12
12
21
0
0
16
0
1
1
16
4
16
8
8
0
0
0
0
16
16
16
2
4
0
16
16
16
6
0
0
0
8
8
0
0
0
8
4
8
2
0
8
8
16
16
16
16
16
16
1
0
4
0
2
8
2
0
8
8
0
32
16
0
0
18
0
8
0
9
8
8
1
8
8
18
18
4
0
0
0
8
8
0
2
0
0
16
16
16
0
0
8
0
0
16
0
0
0
18
1
8
8
8
0
0
0
16
24
16
0
0
0
8
16
16
4
0
0
0
2
2
8
1
1
16
16
16
32
0
0
0
0
12
12
8
8
0
16
2
2
2
16
8
16
16
0
0
0
0
0
1
0
0
16
0
0
0
0
0
0
8
0
0
0
0
0
1
0
0
0
16
4
0
8
0
32
2
2
2
8
0
0
0
0
0
0
0
16
16
16
16
16
16
16
16
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
16
16
16
0
0
16
57
57
8
8
8
0
34
34
8
8
0
0
16
16
0
8
8
8
8
2
2
8
8
4
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
24
24
24
16
0
16
16
0
0
0
0
0
0
0
0
32
8
16
2
3
3
0
16
16
16
16
16
8
8
8
0
24
24
0
0
1
32
8
16
26
16
16
16
8
8
32
33
32
8
16
16
8
32
0
0
0
0
0
0
0
0
0
0
0
0
8
8
6
0
0
0
0
2
2
0
0
0
32
32
32
32
32
32
28
28
16
16
0
0
0
24
24
24
0
16
4
4
4
4
4
4
0
0
0
3
0
0
0
0
0
0
8
36
0
8
1
1
1
1
1
0
34
34
34
34
8
17
0
0
0
2
2
2
0
8
8
0
24
0
8
0
16
16
16
16
10
16
8
8
8
0
0
0
0
2
8
8
0
48
8
8
1
8
16
16
16
9
16
16
16
0
0
16
0
0
16
8
8
8
0
8
2
0
0
0
0
0
8
8
0
0
0
0
0
0
8
0
8
8
32
6
6
12
8
0
3
3
4
4
8
8
1
1
1
1
1
1
0
1
1
0
0
2
1
1
0
0
0
8
1
0
9
0
8
8
8
25
25
25
25
25
24
8
0
0
0
8
0
0
8
0
40
8
0
0
8
0
0
0
0
8
0
8
8
8
8
8
2
2
8
0
24
8
8
4
0
8
24
8
4
8
0
13
13
13
16
16
16
16
0
0
0
16
16
16
0
16
1
0
0
0
0
0
0
0
0
0
2
8
8
8
8
8
0
8
8
8
8
8
16
16
0
0
8
8
0
8
0
0
0
8
2
2
6
6
6
0
0
2
8
8
16
0
0
0
0
0
16
16
16
16
0
0
16
0
0
4
8
8
8
33
0
0
0
0
17
0
8
4
8
24
8
0
0
0
48
16
2
8
4
4
0
16
16
16
0
0
4
16
0
1
8
8
8
8
8
8
8
8
8
8
8
16
12
16
16
0
8
8
0
0
0
16
24
24
0
0
0
0
1
1
1
1
1
1
1
8
8
16
16
16
8
8
8
8
1
1
1
1
0
0
0
0
1
1
0
0
32
32
32
32
32
0
0
0
0
0
1
0
24
24
24
0
0
0
0
0
8
8
12
0
0
16
8
10
10
0
0
1
0
0
0
16
8
29
0
0
0
8
2
2
2
8
49
0
0
8
0
0
0
0
0
0
8
8
8
8
16
32
0
0
0
0
0
0
0
16
16
16
0
2
24
24
24
8
0
0
0
0
8
0
8
8
0
16
16
1
0
0
8
0
8
8
0
20
0
32
0
0
0
0
0
8
8
8
0
0
16
16
0
8
16
5
4
4
4
2
8
0
16
16
16
8
8
8
8
8
8
8
8
8
8
4
0
0
0
8
4
24
0
17
8
1
0
16
16
16
16
0
0
0
0
0
0
32
32
8
8
16
0
0
32
0
0
0
0
8
0
0
8
32
8
4
4
0
0
0
6
0
32
32
0
8
1
0
0
0
2
8
8
8
8
0
0
56
16
16
8
8
10
10
0
8
8
0
0
0
8
32
32
1
1
0
0
8
8
8
8
0
0
0
0
0
0
12
0
0
1
1
10
2
0
0
0
0
0
8
8
0
0
0
0
8
8
0
17
17
16
8
16
16
16
16
8
8
0
11
1
0
16
8
8
16
24
16
8
8
0
8
0
8
16
4
4
4
0
0
0
0
0
16
0
0
0
0
16
16
5
8
8
8
16
1
4
16
8
4
0
8
0
0
0
8
8
0
0
0
0
0
1
32
8
8
0
16
4
4
4
0
0
0
0
1
0
12
12
12
12
0
0
8
32
32
1
1
0
2
0
8
8
0
0
16
0
0
0
16
16
8
1
32
4
16
16
0
16
0
0
0
0
0
0
0
0
0
0
16
16
16
8
1
1
0
0
0
0
0
0
0
16
8
0
0
0
8
24
24
8
8
16
8
0
16
16
8
8
8
0
0
0
0
0
0
0
0
0
0
32
8
8
0
0
44
0
1
8
8
0
0
0
16
16
16
16
16
0
0
0
0
2
2
8
4
0
8
4
4
8
12
12
4
8
0
0
0
16
16
0
4
10
24
8
24
24
24
0
32
32
32
0
0
0
0
24
24
0
8
16
0
8
8
0
6
0
8
8
8
8
16
16
0
8
8
8
0
8
0
4
4
4
4
4
4
8
0
0
8
8
4
0
0
0
0
8
18
1
16
0
16
28
28
9
8
16
16
16
0
0
0
8
0
0
8
8
8
16
8
32
32
16
0
0
0
0
0
0
0
8
10
16
2
2
2
8
8
16
8
16
16
8
24
24
8
0
0
0
0
0
0
2
2
2
1
0
0
0
0
0
0
4
4
4
1
1
8
49
49
8
16
24
16
8
8
4
4
4
0
0
0
0
0
0
2
0
23
2
8
0
16
16
16
16
8
0
0
4
1
8
2
4
0
0
0
0
1
0
0
0
0
0
0
12
6
6
6
6
0
8
8
8
8
8
8
4
4
0
0
8
0
0
3
0
32
32
0
16
1
0
0
16
16
16
22
22
0
10
8
8
0
0
0
1
16
2
2
8
16
16
22
0
0
0
9
9
16
25
16
0
0
0
0
0
2
8
8
8
8
0
1
2
0
12
8
8
16
8
0
0
8
0
0
16
16
0
0
0
0
0
8
40
0
0
8
0
0
0
16
24
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
8
16
16
0
0
0
0
0
16
16
16
0
0
8
8
8
20
1
0
0
0
0
0
0
28
24
0
0
0
16
0
8
0
0
0
0
0
0
0
0
20
4
0
8
2
18
18
18
0
8
8
8
8
2
2
2
2
0
0
8
0
2
2
2
0
16
30
30
17
17
0
0
0
4
4
4
0
0
0
0
0
0
2
0
2
2
1
1
12
16
16
0
0
0
0
0
0
0
0
0
0
0
34
34
34
34
24
24
24
8
8
8
16
16
16
16
16
9
9
9
0
1
0
0
0
1
0
0
0
0
4
4
16
0
0
16
0
8
8
0
8
8
0
0
16
16
0
0
0
0
1
4
31
31
31
0
16
16
16
16
16
16
16
0
8
8
8
8
8
8
8
8
8
0
1
1
0
8
0
16
16
16
16
48
8
8
0
8
0
1
1
8
32
32
32
32
32
32
32
32
0
0
4
4
1
24
2
2
0
0
36
36
16
16
16
8
24
8
16
16
8
0
0
0
0
4
16
2
2
2
8
16
16
8
0
0
0
0
0
8
8
8
2
8
25
16
0
0
0
8
8
0
0
8
0
0
0
0
0
0
0
8
8
0
20
6
0
0
0
0
0
8
0
0
8
8
32
8
8
8
8
1
16
6
16
8
8
0
0
8
8
0
0
8
0
8
1
0
0
2
8
0
0
16
32
0
0
0
0
0
0
8
2
8
13
8
56
8
8
0
0
0
0
2
8
8
8
8
8
0
0
18
16
2
2
0
48
32
0
0
16
13
4
4
40
40
0
8
8
1
2
0
0
0
5
5
0
8
1
1
8
8
24
16
8
8
8
2
9
0
16
0
0
1
0
0
0
0
0
8
8
8
8
0
8
16
16
4
4
32
8
0
5
5
5
0
16
8
0
0
8
8
8
8
8
8
8
8
8
8
8
8
16
0
0
16
24
24
0
16
0
0
0
6
6
8
16
0
8
0
0
4
4
0
0
8
0
2
2
8
0
1
0
33
16
0
4
0
8
0
8
0
0
0
0
0
0
8
8
8
0
0
0
16
16
16
8
8
16
8
0
8
0
20
0
4
0
0
8
8
8
16
0
0
0
0
1
1
0
0
2
2
0
0
14
14
8
0
0
2
1
0
13
13
16
0
0
0
0
0
0
10
16
16
16
8
32
0
0
8
8
0
16
16
6
0
0
0
0
24
0
0
0
4
16
18
1
12
21
0
0
26
26
0
8
4
0
0
0
24
8
7
8
0
0
0
8
8
0
0
9
19
0
2
20
16
16
16
16
6
4
4
0
0
0
0
0
0
0
0
0
8
16
16
0
0
0
0
0
0
0
0
16
8
8
8
0
0
8
0
0
0
0
1
2
16
12
12
0
2
0
0
16
0
16
16
16
8
4
4
4
0
0
0
8
8
8
8
8
8
8
0
0
2
16
16
0
0
0
2
0
16
0
0
0
0
0
1
1
16
16
16
16
16
16
16
16
0
2
0
8
0
8
8
0
4
16
0
0
16
0
0
9
0
0
16
16
0
0
0
0
8
16
16
16
16
2
2
2
2
0
0
0
0
0
39
0
0
8
0
8
0
0
0
2
2
2
4
8
4
4
17
17
17
4
8
2
2
2
2
1
0
0
8
4
4
4
8
0
4
0
0
1
5
5
5
4
4
2
4
4
0
0
0
0
0
0
0
0
1
8
8
4
0
8
0
0
8
16
0
0
0
0
0
0
0
0
0
0
8
0
4
1
1
1
1
1
1
0
0
8
8
0
0
4
0
0
4
4
0
8
16
24
0
0
16
0
20
20
0
0
0
0
0
16
0
0
17
0
0
24
24
24
24
8
16
1
1
1
1
1
0
0
16
0
8
0
0
32
32
32
0
0
0
32
0
0
0
0
0
25
24
24
0
16
4
0
0
12
0
0
24
16
16
16
0
0
0
2
2
2
2
0
0
1
1
1
1
0
0
8
0
28
24
4
1
0
32
16
8
8
16
16
18
16
0
16
0
0
8
8
16
0
0
0
0
4
40
8
8
0
1
1
0
16
8
0
0
0
0
48
48
48
48
48
48
1
1
0
0
4
16
0
0
0
0
0
0
4
0
8
8
24
16
8
22
22
21
8
0
0
32
32
32
24
24
8
8
8
0
8
0
4
16
0
0
6
5
5
5
0
0
16
0
0
0
16
16
16
1
1
8
8
8
18
18
18
0
0
8
16
16
16
16
2
0
8
8
0
16
16
16
2
62
8
4
0
0
0
0
0
33
33
33
16
8
32
27
2
18
0
0
4
0
8
8
16
19
8
0
8
4
4
12
12
0
0
4
20
20
0
0
0
0
8
24
8
8
8
16
16
0
1
1
8
4
8
0
0
16
0
24
24
8
8
8
8
2
1
8
0
0
1
4
16
8
8
0
0
0
16
16
0
0
8
8
0
0
0
0
0
0
0
0
0
0
2
0
0
8
8
0
0
24
8
8
8
8
8
2
0
0
0
0
8
0
0
0
0
8
8
4
8
8
8
8
8
8
0
0
8
0
0
8
0
4
3
0
1
4
4
4
4
4
4
0
16
0
17
16
16
20
20
20
20
0
0
16
24
24
24
1
1
1
1
1
16
16
16
24
8
8
17
1
1
24
1
1
16
8
0
0
0
0
0
0
0
0
0
2
8
41
8
8
16
0
8
16
16
16
28
0
0
8
0
0
1
4
4
0
0
4
4
4
0
0
16
0
8
16
0
8
1
9
9
0
0
24
8
0
16
1
0
0
0
0
24
0
16
0
12
0
0
24
24
1
1
8
8
0
0
0
0
4
8
8
8
8
8
8
0
8
9
0
16
1
8
1
1
16
16
16
16
0
0
28
28
0
0
28
0
0
8
0
0
4
16
2
2
2
16
16
16
0
0
16
0
16
16
34
0
16
0
32
0
0
0
0
0
2
2
8
2
2
0
0
24
16
8
16
16
0
2
0
0
0
0
1
1
0
0
0
8
0
0
8
4
4
0
16
16
4
16
8
1
2
2
2
8
20
0
4
4
4
24
52
30
30
30
0
0
16
16
8
0
0
16
8
8
8
8
0
0
16
0
0
4
8
18
18
4
0
0
32
0
0
2
10
10
4
4
0
0
8
8
8
4
2
2
48
8
8
4
4
0
0
16
16
8
8
8
8
8
8
8
0
4
4
4
0
0
0
1
16
0
16
8
8
1
1
1
4
0
16
16
16
0
0
0
8
8
16
16
16
16
9
9
9
16
8
8
8
0
0
0
0
0
0
0
0
0
0
0
8
0
2
0
0
0
0
8
8
0
16
8
4
0
11
2
0
8
0
0
0
8
16
1
1
0
16
16
16
0
16
8
16
16
0
16
16
52
16
24
0
2
2
8
0
0
0
0
9
2
2
8
8
2
0
4
1
8
8
8
16
16
16
4
0
8
8
8
0
8
8
8
4
4
4
0
0
0
0
4
0
0
0
0
8
8
20
20
8
8
8
0
0
0
32
1
0
8
12
12
12
8
0
16
0
16
8
8
8
20
0
0
8
0
16
16
16
16
0
0
8
24
24
4
12
1
1
34
34
10
2
2
0
8
0
16
16
16
16
16
16
8
0
0
0
3
3
0
4
16
16
16
16
2
0
8
0
13
5
4
4
4
4
0
8
1
1
0
0
8
2
2
2
8
0
0
0
0
0
0
0
0
16
0
0
8
16
16
8
1
32
0
0
1
16
16
24
8
8
20
16
1
0
0
16
40
8
0
0
0
8
0
0
0
16
16
16
8
16
0
16
18
0
16
16
8
8
0
0
8
8
1
0
0
24
8
8
16
8
4
1
19
8
18
16
0
8
1
1
0
1
1
1
1
4
16
0
27
6
6
16
16
16
16
2
33
0
0
8
8
8
4
4
4
0
8
0
8
0
16
16
24
24
8
13
13
0
16
16
16
16
24
24
24
16
0
0
12
0
0
0
16
16
20
20
0
1
1
1
32
0
0
16
8
8
2
2
2
0
8
16
16
0
0
0
8
24
4
0
4
4
0
0
0
1
2
2
8
4
8
16
16
16
16
16
9
8
8
0
16
16
16
16
8
8
8
16
12
12
16
16
16
16
8
8
8
8
8
0
0
0
24
1
1
1
1
1
1
1
16
16
16
16
0
16
0
24
24
0
0
8
40
40
40
8
16
16
8
8
4
0
17
16
0
2
8
16
0
0
0
0
4
4
10
10
0
0
32
32
32
8
0
0
5
5
0
0
8
2
2
4
4
4
8
21
21
21
8
0
0
0
16
25
25
16
20
20
4
0
0
8
8
0
8
8
8
0
0
4
8
0
8
8
19
0
4
4
4
32
0
2
16
0
16
0
0
16
0
8
0
0
8
8
8
8
8
8
0
0
8
0
0
0
0
8
24
24
16
8
8
0
0
0
0
16
8
1
1
1
1
0
8
8
16
16
16
0
0
0
0
1
4
0
9
2
1
0
4
1
0
0
0
0
32
32
0
0
4
4
4
4
4
4
0
0
0
0
4
4
4
4
4
4
4
4
4
16
16
16
16
16
16
16
16
16
8
0
0
0
0
0
0
0
8
0
8
8
0
0
18
0
0
30
0
4
0
0
0
2
16
0
0
0
20
0
1
8
8
8
0
0
0
0
16
0
0
0
0
0
0
0
0
10
0
0
16
0
0
2
24
0
16
16
12
1
1
8
8
8
8
8
0
0
0
0
2
2
2
2
17
17
1
16
16
16
0
16
4
0
0
0
0
2
2
2
16
16
16
0
0
0
8
3
8
8
8
8
8
0
1
1
1
1
8
8
8
8
1
0
0
0
8
8
4
16
2
4
0
9
9
9
8
0
0
24
24
0
0
0
0
0
0
0
28
28
20
0
4
0
8
6
2
2
32
0
0
0
16
16
16
16
0
8
8
8
2
16
0
0
0
0
0
0
8
0
0
6
6
0
0
0
2
0
0
0
16
16
0
0
0
4
16
9
0
8
8
32
8
0
0
8
8
8
1
0
0
4
4
0
8
10
10
10
0
10
10
0
0
1
16
16
4
4
16
16
8
2
2
2
17
8
8
2
2
0
0
1
8
0
0
0
0
0
2
32
32
8
0
0
0
0
0
1
16
16
4
0
0
0
0
0
0
8
0
1
8
8
0
0
8
8
0
8
16
16
8
4
8
8
16
8
2
16
16
16
16
16
16
40
0
16
16
16
17
16
0
0
0
0
16
8
0
1
1
0
2
8
8
0
0
8
0
8
0
0
0
0
0
0
20
20
0
0
0
16
16
21
21
21
0
0
0
0
0
4
8
32
1
8
8
8
8
8
8
8
2
3
2
0
12
0
0
0
16
32
0
0
0
0
0
2
2
9
16
0
4
8
8
8
0
8
8
0
0
0
0
0
0
0
0
0
8
0
0
0
0
8
8
8
0
4
4
4
4
16
8
0
16
0
0
1
1
0
0
0
0
0
8
8
0
16
8
8
8
8
0
0
2
8
24
24
2
16
0
8
18
16
16
16
16
16
20
20
20
0
0
0
0
16
40
0
8
24
0
0
16
0
8
0
0
16
16
8
8
8
1
8
8
16
16
16
16
2
0
0
8
8
8
8
8
8
8
8
16
8
8
8
8
8
24
0
0
8
8
16
16
16
16
4
16
1
1
1
1
0
8
0
8
8
0
0
0
0
1
8
0
0
0
0
22
22
22
22
22
22
22
4
20
0
0
0
0
8
8
24
0
0
8
0
0
2
2
8
41
1
3
8
5
0
0
0
0
0
16
24
8
0
0
0
8
8
0
0
16
16
16
4
24
8
8
8
8
8
0
0
8
8
8
0
8
16
4
4
4
4
4
4
4
4
4
4
4
0
4
4
0
0
8
8
8
4
8
24
4
4
8
8
16
24
0
0
20
40
8
0
16
1
32
4
12
12
4
4
8
8
0
0
16
0
16
8
8
8
8
0
8
8
8
0
24
8
40
0
0
8
8
24
0
16
17
0
0
0
0
8
4
30
30
8
8
18
8
8
8
8
8
8
16
0
8
8
8
0
0
0
16
0
28
24
24
0
2
2
0
0
0
2
2
2
41
2
0
1
0
16
16
0
0
0
0
0
16
0
0
16
8
0
4
8
8
8
16
0
0
52
52
0
0
40
19
0
0
16
16
4
4
0
0
8
0
0
0
0
8
1
1
0
8
8
2
2
2
2
16
16
16
0
0
0
38
38
4
18
8
8
8
0
8
8
16
16
0
0
16
16
16
4
2
2
2
2
0
0
16
16
0
4
8
8
16
16
0
0
8
8
8
8
0
0
0
0
3
3
0
16
16
1
0
16
16
16
0
17
8
8
8
0
4
8
4
0
4
4
8
0
28
8
8
1
1
1
8
8
8
8
20
8
0
16
32
8
8
0
0
0
16
16
16
0
4
8
8
16
2
18
18
18
0
0
8
0
32
32
0
8
8
16
0
0
0
0
0
8
8
16
16
16
16
16
16
16
16
16
16
0
8
4
0
4
4
0
0
0
8
0
24
3
1
1
0
8
0
3
34
0
8
8
16
2
16
20
20
6
0
0
0
4
0
8
0
0
8
16
16
0
0
0
0
0
8
2
0
0
48
16
16
8
8
0
8
8
8
0
16
0
4
20
20
20
16
16
0
0
0
0
0
12
8
16
8
8
8
0
48
48
2
0
0
4
0
0
0
4
5
2
18
18
4
4
2
8
8
0
0
2
2
0
0
8
1
4
4
0
16
16
0
8
8
52
8
16
0
0
0
0
0
0
0
0
8
1
16
0
8
8
8
0
36
0
8
8
8
0
2
2
9
8
8
8
16
0
0
0
1
0
0
0
8
4
4
0
8
0
8
8
16
16
16
0
8
0
8
8
1
8
8
8
8
16
10
8
8
0
0
0
0
8
8
8
4
4
4
4
4
52
8
8
8
8
8
1
16
16
8
2
0
0
0
16
16
0
0
8
8
16
4
16
16
24
4
4
8
0
26
0
16
4
4
8
8
8
8
8
8
8
1
8
0
0
0
0
0
0
0
0
8
8
8
8
0
16
0
8
8
2
32
0
9
16
9
0
16
8
8
16
16
0
0
4
0
16
16
4
4
16
2
16
16
8
0
0
16
4
4
12
8
0
0
0
0
16
0
0
0
0
0
8
16
0
0
0
4
2
0
0
5
5
5
16
16
8
0
0
0
17
20
2
0
0
0
0
0
1
0
0
0
8
16
0
0
0
1
1
1
0
0
8
8
8
8
16
0
0
0
8
16
8
8
8
48
0
32
16
16
8
0
0
17
1
32
8
0
0
0
0
20
8
0
0
0
0
8
8
8
8
14
14
16
0
47
16
52
52
52
52
0
4
8
8
8
2
2
0
24
24
24
4
0
0
0
0
8
16
0
16
16
16
16
8
8
0
0
0
0
0
0
8
16
16
0
0
0
16
2
10
8
0
0
0
25
0
8
0
8
0
2
0
0
0
0
0
2
0
2
8
12
16
16
16
16
16
16
16
2
0
0
0
2
2
8
16
0
8
2
0
0
0
8
0
0
0
0
1
0
16
0
28
8
0
0
0
0
8
16
16
0
0
8
1
1
0
16
16
0
0
8
8
1
1
1
0
0
8
8
4
4
4
8
2
0
8
8
0
0
0
0
8
8
0
0
0
0
0
0
0
0
1
0
16
16
16
16
0
0
0
0
0
0
24
24
24
8
24
24
24
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
8
0
0
8
2
8
0
8
8
8
0
0
0
16
0
8
1
0
16
2
0
0
16
16
0
0
16
0
20
0
0
0
0
32
8
8
16
16
24
0
0
0
0
0
0
33
33
0
0
0
8
4
16
4
4
0
0
1
1
1
48
8
8
0
32
32
1
8
8
8
8
8
8
8
8
0
0
8
16
16
0
0
16
16
16
16
8
0
0
0
0
33
33
33
0
0
0
8
8
16
16
0
16
8
8
16
16
8
8
0
0
16
16
4
16
1
8
8
8
8
0
8
0
0
16
16
16
16
0
0
8
0
0
0
8
8
0
12
2
2
0
0
0
0
8
8
9
9
0
0
8
2
32
4
4
4
6
4
0
0
0
0
8
8
0
0
1
1
2
0
24
24
16
16
8
16
4
0
16
20
16
16
0
8
0
8
8
8
8
8
4
0
4
16
0
16
0
36
2
2
2
2
4
4
8
0
19
2
1
0
0
0
0
0
4
4
4
8
8
8
8
16
4
0
0
0
0
0
0
0
0
0
16
16
8
8
8
8
8
8
8
0
16
16
16
4
2
2
0
8
0
8
1
1
4
0
0
0
1
0
0
0
0
0
0
0
8
8
8
0
0
8
16
24
4
4
0
4
4
0
0
8
4
16
2
2
2
4
4
8
8
1
1
8
0
0
8
8
24
24
24
0
0
8
4
4
1
0
0
0
0
0
0
0
0
0
4
4
4
0
8
8
0
0
8
0
0
0
8
8
8
16
16
2
2
32
0
0
0
0
16
0
0
16
16
8
8
0
4
2
2
2
1
8
0
0
0
0
0
0
0
0
1
1
1
1
4
8
16
0
16
16
16
8
8
0
0
0
0
8
8
8
8
0
8
8
8
8
0
0
0
17
17
20
20
16
16
16
16
16
22
8
8
16
0
16
0
0
16
24
24
24
8
0
0
1
8
8
8
16
0
0
0
8
8
0
1
1
1
37
37
0
0
0
2
2
2
2
2
6
2
2
2
2
0
0
0
0
0
0
0
0
0
8
16
16
16
0
0
0
0
0
0
0
0
1
16
8
8
8
0
0
0
0
0
0
0
0
0
4
4
0
17
0
0
12
0
0
0
0
8
0
16
16
16
0
0
0
8
4
0
0
4
16
0
36
0
0
0
0
4
4
0
1
0
0
0
0
0
8
8
8
8
8
2
8
8
8
0
16
0
0
16
16
16
16
2
1
1
9
8
8
8
16
0
0
0
0
0
0
2
2
4
32
32
0
32
20
16
8
0
8
0
0
0
16
16
16
0
1
2
0
16
4
1
0
16
16
1
16
16
0
8
0
0
0
8
8
0
0
0
0
0
8
8
8
16
0
0
0
16
16
0
8
0
24
8
32
32
8
20
0
16
0
0
24
16
1
1
1
0
8
8
16
16
16
16
16
20
20
2
2
0
1
8
8
8
8
8
16
8
17
0
16
8
16
16
0
0
0
8
8
8
0
0
0
0
9
0
0
0
0
0
0
0
0
0
8
8
8
16
16
16
16
0
0
0
2
2
8
8
8
8
8
8
8
0
0
48
8
8
0
24
8
8
8
0
25
25
0
0
0
0
8
0
0
8
8
8
0
0
33
0
0
0
16
1
8
0
0
8
16
9
13
16
16
8
8
0
2
2
2
16
16
0
0
1
1
1
4
4
20
20
20
20
20
8
8
8
0
0
16
0
0
16
17
0
0
0
0
0
0
0
0
0
24
0
0
8
8
0
8
8
8
16
0
16
16
8
16
8
16
16
16
0
0
0
0
0
0
0
0
0
24
2
0
4
0
0
2
8
8
0
8
0
0
40
40
40
0
0
8
8
8
8
8
8
8
8
16
8
8
8
4
16
16
16
16
40
0
16
16
16
16
16
16
1
1
1
0
0
16
0
0
0
0
4
8
8
0
0
0
0
16
16
16
16
10
9
16
0
8
4
4
17
1
1
1
1
8
0
0
0
8
8
0
33
0
0
0
8
8
4
4
4
4
4
8
8
8
8
8
8
16
0
8
2
2
16
16
16
4
2
0
8
8
16
20
1
0
0
0
0
2
0
0
8
8
8
8
8
0
4
16
8
8
0
8
8
8
0
0
0
0
8
0
8
0
8
0
0
0
0
16
16
16
0
1
0
8
8
8
0
0
8
8
8
8
28
8
8
1
0
16
16
16
2
16
4
4
8
0
5
16
8
16
32
4
8
17
1
1
1
16
8
4
0
0
48
4
4
4
0
2
2
2
2
1
0
2
2
2
2
18
0
0
0
0
0
0
0
0
2
0
8
0
4
4
4
0
0
0
8
12
0
0
2
2
0
4
4
0
0
0
8
8
0
16
16
16
0
33
33
1
0
0
8
0
0
0
8
8
8
8
8
0
0
0
0
0
0
1
17
17
19
16
16
8
24
8
0
2
16
16
16
8
0
16
16
16
0
16
0
0
0
0
0
0
0
0
0
32
16
16
1
8
8
8
8
16
16
0
16
16
0
0
0
8
8
8
8
4
0
16
16
0
0
16
16
16
0
0
8
8
16
16
16
16
16
8
8
8
16
1
1
8
0
8
8
8
8
0
0
0
0
0
4
0
0
48
8
8
8
16
1
0
0
0
16
0
0
24
1
8
8
32
0
8
8
16
16
16
0
0
16
16
16
8
0
0
3
3
0
3
3
3
3
3
3
8
8
0
32
32
0
0
0
0
0
0
16
16
0
0
2
0
22
22
22
20
16
8
8
8
8
16
8
0
1
1
0
0
32
16
16
4
4
4
24
4
16
16
0
8
8
4
4
2
1
20
16
16
8
16
0
0
0
16
0
16
8
0
0
0
0
0
0
0
0
0
8
8
11
8
0
8
0
4
4
4
4
4
16
16
16
32
0
25
0
0
8
8
0
0
8
8
0
32
32
29
25
25
25
0
0
0
0
0
32
16
0
8
1
1
1
0
0
0
8
8
8
4
4
4
8
0
0
0
0
0
0
32
32
8
16
16
0
8
0
8
0
0
17
1
3
8
0
0
0
4
0
0
4
2
8
8
0
8
8
0
0
0
1
0
0
0
0
8
8
4
0
4
4
4
4
16
0
0
0
1
1
20
20
16
16
16
0
16
16
16
16
16
16
0
0
1
1
1
8
8
4
4
0
0
0
20
20
20
16
20
20
24
1
0
0
12
8
8
32
32
16
16
16
0
4
4
0
8
0
0
0
0
0
8
8
0
0
4
8
8
0
0
0
16
8
24
24
8
0
0
0
0
9
8
8
22
8
16
33
33
33
0
0
16
24
8
8
0
0
8
8
11
0
0
0
8
8
16
16
0
16
0
8
8
0
0
0
16
6
0
0
0
0
8
8
0
2
0
0
12
0
0
8
16
16
20
20
16
4
0
8
31
31
16
16
16
0
2
2
16
0
4
8
8
8
8
0
0
2
2
8
0
0
0
0
16
18
0
0
0
0
20
20
0
0
0
0
0
0
0
16
8
25
16
0
8
0
16
0
0
0
0
0
0
0
8
8
1
1
16
16
0
0
0
0
8
0
49
8
0
4
0
0
0
16
0
0
0
16
16
16
16
16
8
2
16
0
0
0
0
16
0
16
0
0
16
8
8
0
0
0
8
0
1
0
0
0
16
8
0
0
0
0
0
8
16
2
4
1
41
12
8
8
0
0
0
0
16
0
16
16
8
0
8
8
16
16
16
16
16
16
16
16
16
16
16
16
16
20
20
20
0
10
8
0
8
24
16
0
0
0
0
0
8
0
0
0
2
0
1
0
16
16
8
8
0
0
8
8
8
8
8
8
24
0
0
0
0
16
16
0
8
8
8
8
8
17
17
17
17
1
1
8
8
32
8
22
22
8
8
0
16
16
8
2
0
2
4
4
4
8
8
0
0
8
0
0
0
0
0
0
8
0
0
0
4
16
8
0
32
32
32
24
24
0
0
0
0
0
0
0
8
8
20
20
0
0
16
16
16
12
24
8
8
16
16
4
0
16
16
0
0
0
0
0
0
0
24
24
24
4
4
4
4
4
8
8
0
16
16
0
8
0
8
16
16
16
16
2
2
0
0
8
0
0
0
16
4
4
2
16
0
0
1
0
0
0
8
0
0
8
16
0
8
0
0
8
2
8
8
16
0
16
16
16
2
8
1
0
16
16
16
8
8
0
2
12
0
4
4
4
4
4
4
12
0
32
34
34
16
16
25
0
8
8
0
0
8
1
1
1
1
1
1
0
0
0
0
0
0
0
16
0
0
16
16
16
16
1
0
0
4
4
4
0
8
8
0
0
8
16
16
0
0
0
24
8
8
0
0
0
0
0
0
0
0
8
8
1
16
16
17
29
29
8
0
0
0
0
0
0
0
16
8
2
32
32
32
32
0
0
0
0
0
0
8
8
8
8
2
0
16
16
16
16
16
0
0
0
8
0
24
8
0
0
0
4
4
4
4
4
8
8
4
4
8
8
8
0
0
0
0
0
8
8
8
0
0
0
8
8
8
0
0
0
8
16
16
8
4
0
4
8
8
8
8
0
16
16
16
50
50
0
18
1
0
11
0
16
32
0
8
2
2
0
0
0
8
6
0
32
0
8
8
0
16
4
4
8
0
17
8
8
0
0
0
0
0
8
16
1
1
1
0
16
0
8
0
16
16
0
0
16
16
16
32
32
0
8
16
16
2
0
0
0
4
16
16
16
0
0
8
8
0
8
8
8
17
16
8
1
16
0
22
0
4
0
0
8
0
2
2
2
2
2
2
12
8
8
8
0
2
0
0
0
0
8
8
1
0
16
10
10
32
32
32
58
9
16
16
8
0
0
16
16
5
16
16
16
16
8
8
8
8
1
8
0
12
0
0
16
16
16
16
10
8
8
1
1
8
8
1
0
8
8
8
8
16
18
18
18
4
16
16
8
8
0
0
0
0
0
0
0
8
32
32
0
4
8
20
0
0
0
16
8
0
16
16
0
8
0
0
0
0
0
0
0
0
0
0
2
2
2
24
8
0
32
32
32
4
2
2
2
0
0
8
8
0
4
16
0
8
50
0
0
0
16
16
16
16
16
0
16
0
0
2
8
0
0
0
0
4
0
16
16
12
0
24
24
0
2
2
0
0
8
16
16
16
0
0
0
8
8
4
0
0
0
0
0
0
0
0
0
40
16
1
8
32
32
32
8
8
8
8
0
12
12
12
12
12
16
0
16
0
10
2
0
0
0
16
16
0
0
8
16
16
8
8
8
8
0
0
16
16
16
16
1
14
14
8
8
4
16
16
16
16
16
16
4
1
1
1
8
25
25
1
24
16
2
2
8
0
0
0
8
2
0
16
0
1
0
8
16
0
0
16
16
16
0
4
8
8
16
16
16
0
8
0
0
32
24
8
4
0
0
0
0
16
16
0
8
8
8
8
8
8
16
16
8
16
8
8
16
0
0
0
2
2
0
0
0
8
8
0
0
0
10
8
8
8
1
1
8
16
16
2
8
8
8
16
0
4
0
0
0
4
4
8
20
20
0
0
0
1
0
48
48
0
0
4
8
16
16
16
16
0
28
0
16
0
0
1
8
8
16
0
0
0
0
0
8
0
24
8
8
12
0
0
0
0
0
0
0
0
16
16
16
16
0
0
8
4
4
4
4
8
8
8
16
16
13
2
2
0
0
0
10
0
0
0
16
6
9
9
8
8
8
8
8
8
16
2
0
2
0
0
8
16
16
0
0
0
0
0
0
20
0
0
0
1
1
12
12
4
4
4
8
0
1
0
0
1
16
16
16
16
16
0
4
8
0
8
8
16
0
0
16
16
0
0
0
1
1
1
1
8
8
8
9
35
35
1
8
8
8
8
16
16
0
48
16
16
16
16
8
0
49
8
16
16
8
0
0
36
2
2
0
17
0
0
48
48
48
48
48
2
2
8
8
8
8
0
8
0
8
0
8
2
20
20
20
0
0
0
33
0
4
4
4
0
0
20
0
0
0
0
0
0
4
4
4
8
0
0
10
8
0
0
8
8
8
16
0
0
0
0
0
0
0
0
0
8
0
0
0
0
41
16
48
48
16
1
0
0
8
25
8
8
8
8
16
16
16
16
8
8
16
16
16
0
0
0
0
8
8
16
0
16
16
16
0
0
16
16
0
0
0
16
16
2
0
0
8
0
9
0
8
8
8
16
16
16
16
16
16
8
8
16
16
16
16
16
32
0
4
16
4
8
8
4
4
16
16
16
0
0
0
0
16
8
0
0
1
1
24
8
8
0
0
0
2
1
32
0
16
1
9
8
20
0
0
0
8
8
4
4
0
8
0
8
1
1
0
24
24
8
16
16
16
4
4
8
8
8
0
1
0
0
10
20
16
8
8
0
0
8
32
32
8
0
16
0
0
0
0
16
16
16
16
16
24
24
8
8
8
8
0
0
1
1
2
8
32
32
8
0
4
20
16
8
8
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
1
16
1
1
1
1
0
4
8
0
8
0
0
16
16
16
16
8
0
0
0
2
0
0
0
8
8
16
0
1
8
0
0
4
8
0
16
16
8
0
0
16
16
16
0
32
16
16
0
4
20
20
20
20
20
8
8
8
8
13
1
4
0
8
4
32
0
8
2
0
0
8
8
11
0
8
8
16
16
16
0
32
8
0
0
0
0
8
0
0
0
0
20
2
1
7
8
0
0
0
0
0
0
0
4
32
32
32
6
0
0
16
0
0
16
16
16
0
3
16
0
0
16
16
0
8
2
1
8
8
0
0
0
0
16
0
0
0
0
2
2
2
0
8
25
0
0
0
0
0
0
8
8
8
8
16
16
8
16
8
2
2
2
16
16
16
1
1
16
0
0
0
0
0
0
16
0
0
0
8
8
8
48
0
0
16
4
8
2
2
2
2
8
4
2
16
16
0
0
0
0
8
16
8
8
8
8
8
8
8
8
8
16
16
16
16
16
0
2
8
8
1
8
24
24
24
9
16
0
0
0
0
0
0
16
0
16
8
16
16
0
0
16
0
8
2
1
1
16
16
0
8
0
0
4
0
11
8
0
56
0
0
8
1
1
0
9
0
8
4
0
1
1
0
0
0
0
0
0
4
0
4
4
4
24
16
16
4
4
4
4
4
4
1
16
0
8
0
0
4
16
16
16
0
0
0
0
0
0
8
16
0
0
0
0
0
0
8
8
0
0
20
30
30
8
8
8
8
8
8
8
17
16
1
16
16
0
8
8
8
24
24
24
0
4
1
0
8
1
16
2
2
8
8
0
0
16
16
2
2
2
0
0
0
0
0
0
6
0
0
0
40
40
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
4
4
4
0
0
0
32
8
0
0
0
16
0
16
4
4
8
8
8
4
1
1
1
12
25
16
4
0
2
2
2
2
0
0
12
4
16
17
17
17
8
4
4
4
16
16
16
8
2
33
0
0
0
4
8
24
16
3
0
0
0
0
18
0
0
4
4
16
16
16
8
16
16
8
0
8
16
0
0
8
0
8
0
4
8
0
8
16
0
0
0
24
16
8
0
1
8
8
8
1
0
24
8
8
8
8
8
32
8
0
2
1
8
8
0
0
29
0
16
2
0
24
0
2
0
16
16
0
0
17
8
0
0
0
0
8
0
8
8
16
16
4
4
4
4
0
8
12
16
8
0
0
16
16
16
16
8
8
16
0
2
2
2
0
8
8
0
0
32
0
0
0
0
22
22
0
0
0
8
0
0
16
8
32
8
28
28
28
28
28
0
9
0
8
17
0
0
0
0
16
1
1
8
8
8
16
8
0
16
0
8
8
8
8
0
0
0
8
0
32
0
16
1
4
4
4
4
4
0
0
0
0
16
16
0
0
25
25
0
0
0
0
1
0
0
32
32
32
32
4
8
24
0
32
0
8
0
0
32
8
0
0
1
0
0
32
32
16
0
0
0
0
0
0
0
0
0
0
16
8
8
8
16
2
0
0
0
2
2
2
2
4
2
0
0
16
8
8
0
0
16
16
0
8
0
0
0
0
0
8
0
0
0
8
8
8
8
8
8
8
8
8
8
0
0
0
4
4
24
17
0
16
17
17
8
8
12
12
8
24
24
24
24
8
8
8
0
0
8
16
16
16
0
0
0
0
0
1
1
3
8
8
0
0
0
0
0
24
24
0
0
0
0
0
0
0
0
0
8
4
16
16
4
48
48
0
0
0
0
0
0
1
0
0
2
2
0
0
0
0
0
0
16
8
0
0
9
9
16
16
16
0
0
0
0
1
26
26
8
0
2
2
0
0
16
16
16
16
16
16
16
16
0
8
16
16
16
16
16
8
8
8
24
16
2
2
2
0
0
0
24
24
8
16
0
2
8
16
16
16
0
8
16
16
16
16
0
17
0
16
12
0
0
8
0
4
4
4
4
4
4
4
4
16
16
4
0
4
20
0
0
4
16
16
8
2
2
2
0
0
0
0
0
0
0
0
0
2
46
24
21
21
9
9
8
8
0
0
8
0
0
8
8
0
16
0
16
8
0
0
0
0
16
16
16
16
8
8
8
2
2
0
0
0
16
16
16
16
8
8
0
16
8
18
26
0
2
0
0
0
0
0
16
0
16
24
1
0
0
12
41
41
16
0
0
1
4
4
0
0
0
4
4
8
0
0
16
16
16
16
0
0
0
0
0
0
8
8
8
1
8
0
2
2
1
0
0
0
16
24
16
16
0
8
8
60
16
16
16
16
16
16
8
0
34
34
34
0
4
8
8
8
8
0
8
8
8
4
8
0
0
16
4
0
0
0
8
8
8
0
0
8
24
16
16
24
0
8
24
0
0
8
8
8
8
0
0
2
4
4
2
2
16
0
0
4
0
0
0
0
0
0
0
16
0
0
16
0
0
8
0
0
0
0
24
16
0
0
0
0
0
8
1
0
4
0
16
0
0
8
0
0
8
8
8
8
16
8
8
0
0
0
0
0
12
4
0
0
32
0
0
1
1
0
8
2
16
16
24
0
0
8
8
8
16
4
16
0
0
16
0
0
0
8
8
0
16
2
0
12
12
0
16
16
0
8
0
1
4
13
0
0
16
16
0
0
8
8
0
0
0
0
8
4
0
0
0
16
16
0
0
0
0
0
0
0
8
0
0
0
0
8
0
1
24
0
6
0
0
0
0
0
0
2
0
0
24
0
16
8
16
16
0
1
1
1
1
1
12
0
20
4
0
0
0
0
0
24
24
8
0
8
0
0
1
4
16
16
16
16
0
0
16
16
8
0
0
0
0
0
2
4
4
4
0
0
8
8
0
0
24
24
0
0
48
0
18
24
28
28
0
0
0
0
0
0
0
8
8
0
8
20
8
8
8
0
1
8
8
8
8
8
2
2
2
2
2
0
0
8
8
8
32
32
4
8
8
8
0
0
0
0
0
0
8
8
16
16
16
0
0
8
2
8
0
0
8
8
2
0
0
0
0
0
0
0
8
0
0
0
8
8
8
0
1
0
8
0
8
8
8
8
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
8
8
8
0
8
8
8
8
1
8
0
16
16
0
0
0
0
0
0
2
0
0
0
4
1
0
0
0
0
0
6
0
8
8
0
0
1
4
0
16
0
16
16
8
8
8
18
0
8
8
16
0
49
0
0
0
0
0
0
0
4
1
2
0
32
4
0
8
0
8
0
0
0
8
8
8
8
0
0
0
0
0
0
16
0
0
0
0
0
0
5
1
57
8
0
0
0
2
2
8
8
16
0
4
4
4
16
8
0
0
1
0
0
0
2
0
0
0
0
0
0
0
0
0
24
24
20
0
0
0
0
0
0
0
5
16
16
16
16
0
0
8
0
8
16
16
24
24
8
8
0
16
0
0
16
8
16
25
25
25
25
1
16
16
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
21
17
17
17
17
17
16
0
0
0
0
8
8
0
8
8
8
8
32
0
0
0
0
0
0
0
0
8
8
0
8
0
0
0
4
0
0
0
0
16
16
8
0
0
0
0
8
8
8
0
0
0
0
0
0
8
0
16
0
1
1
0
8
8
8
1
1
8
0
0
8
0
8
8
8
0
0
8
8
8
4
4
0
0
0
0
17
4
16
16
0
0
16
16
0
0
0
0
0
0
8
8
10
0
16
0
0
16
0
0
8
12
0
2
8
8
8
8
8
8
4
4
4
0
0
0
0
2
0
0
8
8
32
32
2
2
5
24
8
8
0
0
0
0
0
0
8
4
2
2
2
0
0
8
0
0
1
32
36
0
0
16
26
8
16
24
8
8
0
8
20
0
8
4
4
4
16
0
8
16
4
0
0
0
0
16
16
1
8
0
8
8
8
8
0
16
16
16
0
0
1
0
0
16
21
16
8
16
16
0
0
16
8
8
2
8
8
0
8
4
0
0
4
24
16
0
0
0
16
16
16
16
16
8
8
0
8
1
5
16
16
0
0
10
7
1
5
8
16
2
0
0
0
0
4
4
4
4
0
0
10
16
16
8
1
1
1
0
0
0
8
0
1
0
8
0
16
16
0
0
0
8
4
28
8
0
0
36
40
1
8
0
0
0
4
4
0
0
0
8
8
8
0
0
8
8
16
16
16
56
0
0
0
0
0
16
0
2
0
2
2
4
0
0
16
1
0
0
0
0
0
0
8
0
0
9
8
8
26
32
2
0
8
0
4
16
0
4
4
1
1
1
8
8
2
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
5
16
0
0
8
8
5
8
1
28
16
4
4
16
0
0
0
0
0
0
0
0
0
0
0
20
0
8
0
0
0
0
0
0
28
28
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
42
32
1
0
4
16
0
8
8
8
8
0
16
0
8
17
2
0
0
6
0
5
8
0
0
0
0
8
0
8
0
0
0
0
8
0
0
8
0
0
0
0
0
0
4
0
0
0
0
16
16
0
16
0
4
4
16
0
0
0
0
0
0
0
8
40
0
0
8
1
0
16
0
0
0
0
0
0
0
16
24
8
8
0
8
8
8
0
0
16
8
8
16
8
0
0
8
8
16
2
0
0
8
24
16
4
0
0
0
0
0
16
16
0
18
0
0
8
0
0
0
0
0
0
0
0
0
0
24
16
0
1
0
8
0
8
8
4
0
0
0
0
2
2
2
2
0
0
8
16
16
8
0
8
8
16
0
16
2
2
16
0
8
16
0
0
2
24
2
2
2
0
9
8
16
0
0
0
0
8
22
1
0
0
16
0
0
0
1
8
0
0
0
0
0
28
36
36
36
36
0
0
8
8
0
0
8
8
8
0
32
32
0
0
0
0
16
16
1
0
4
4
0
8
8
16
16
4
0
2
8
8
0
0
0
0
8
0
0
0
16
8
0
17
17
0
2
0
0
16
16
0
0
0
0
0
0
0
8
0
8
9
9
9
0
0
0
0
0
0
0
0
2
0
0
0
16
16
0
0
2
0
8
2
0
0
0
0
12
2
2
2
24
0
16
16
16
0
20
20
16
16
16
8
0
16
10
8
8
8
0
0
0
0
8
8
0
0
0
2
0
40
40
40
40
32
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
4
8
0
0
16
8
0
8
8
0
57
0
0
0
20
20
0
0
0
0
0
1
1
0
0
4
4
4
0
0
0
0
0
8
0
16
0
51
51
0
8
8
8
8
4
6
0
16
16
16
0
0
8
16
0
0
8
0
8
8
32
32
0
0
16
32
8
0
0
8
8
0
0
8
0
1
0
0
0
0
0
0
32
0
0
25
0
8
8
8
0
8
4
0
8
0
0
0
0
16
0
8
8
4
4
4
16
16
16
16
0
0
8
0
0
0
0
0
0
0
0
0
0
0
8
16
16
0
0
0
0
0
0
0
0
0
0
5
8
8
0
8
0
0
0
0
0
0
8
8
0
8
0
0
4
0
0
0
4
0
0
16
16
32
0
8
9
9
0
0
0
2
0
0
1
1
1
1
0
0
0
0
0
0
20
8
8
0
0
1
0
8
8
0
0
0
0
0
0
0
16
16
16
8
0
0
0
0
0
0
8
8
0
0
8
8
0
0
2
8
0
0
0
8
6
6
0
8
0
8
0
0
0
0
0
0
0
0
0
0
8
8
8
8
0
0
8
0
0
16
16
16
1
0
0
0
4
16
0
16
16
8
8
8
0
0
0
0
0
0
0
0
8
3
0
0
0
0
4
0
0
0
4
0
0
0
0
0
1
32
32
32
24
0
24
24
16
8
0
0
0
4
0
0
0
0
8
8
1
1
1
0
16
2
0
1
0
0
0
0
20
8
0
0
0
0
0
0
8
8
8
8
0
8
8
8
8
0
4
2
0
0
4
4
0
0
0
0
0
0
0
8
0
0
2
0
8
4
4
0
0
8
8
0
4
4
0
5
5
5
0
16
16
8
0
5
0
0
0
0
16
8
0
16
0
8
16
17
0
16
8
0
0
0
20
8
0
8
8
8
0
0
0
3
8
8
0
0
0
8
8
4
16
0
16
4
0
0
0
8
8
8
0
0
16
8
4
0
0
0
0
0
8
0
0
0
0
0
16
8
8
0
8
8
0
4
4
0
0
16
10
0
0
8
8
24
9
8
8
0
26
0
0
0
0
6
16
16
0
0
8
48
0
8
8
0
0
0
1
8
0
16
0
0
8
0
0
0
0
0
0
0
0
16
8
8
32
32
32
32
16
8
8
0
0
1
0
4
0
32
32
0
0
0
4
4
0
12
8
32
0
0
0
8
0
16
16
16
8
8
0
0
16
0
0
0
4
0
0
0
0
1
1
8
16
0
0
59
0
4
4
24
8
8
0
0
1
8
0
8
8
8
4
4
24
16
0
0
16
0
0
0
0
0
40
16
16
16
16
8
0
16
8
8
0
8
0
1
1
0
0
4
0
0
8
8
1
0
8
0
0
0
2
2
0
8
0
8
0
0
8
32
32
32
32
32
0
16
20
20
16
8
8
8
0
0
0
0
16
16
8
0
2
2
16
16
16
8
8
16
0
0
0
0
4
4
0
0
1
24
16
16
16
2
0
0
1
1
1
0
8
1
8
8
0
16
24
40
32
8
40
16
0
0
8
8
0
8
0
1
1
0
0
0
2
0
0
0
0
0
0
2
4
8
8
12
0
0
0
16
0
0
0
14
8
0
24
0
0
9
4
4
4
0
0
0
0
32
32
22
22
22
22
0
0
0
17
17
17
17
17
4
1
0
49
16
6
16
16
16
16
0
0
9
17
17
0
0
8
31
4
0
0
32
0
0
0
24
24
1
0
0
0
0
0
0
8
0
0
0
0
4
0
16
16
0
8
0
0
4
8
0
0
0
0
0
16
16
16
0
0
8
0
8
0
0
0
0
8
0
0
4
4
0
24
24
24
24
18
0
0
0
0
0
0
8
8
20
0
0
0
0
16
16
0
0
1
0
36
36
36
16
16
16
8
8
0
0
0
2
0
0
0
24
16
8
16
17
0
8
0
1
0
0
0
16
16
16
8
0
0
8
8
8
4
8
0
8
8
0
4
0
0
0
2
2
4
4
16
0
24
0
0
0
0
8
0
16
8
8
0
0
0
0
0
8
0
0
0
16
0
2
2
16
18
18
0
0
8
0
0
57
57
0
16
0
0
16
16
0
24
24
24
0
8
8
8
2
8
8
4
4
8
0
8
0
0
0
16
0
1
8
0
8
8
0
0
8
16
8
16
8
0
0
8
0
0
0
0
0
24
24
0
24
4
8
8
0
0
0
24
0
0
24
24
16
16
16
8
0
0
4
0
12
8
0
9
1
0
0
0
0
16
0
0
0
0
0
0
0
0
4
16
8
1
0
8
0
8
8
0
0
0
1
32
4
1
1
1
0
4
4
4
4
0
0
6
0
8
8
20
0
8
0
0
0
16
16
0
16
0
0
2
2
2
2
2
0
0
0
0
0
0
4
8
8
4
0
0
0
4
0
2
12
0
0
28
17
0
0
8
0
0
8
16
2
0
0
0
0
8
1
8
8
8
4
13
0
2
2
0
18
8
8
8
0
0
0
0
1
4
4
11
11
4
4
8
16
16
16
0
0
1
41
41
41
41
41
0
0
0
0
0
4
4
0
0
8
12
8
8
58
0
0
24
0
8
8
0
32
0
8
0
2
2
2
4
0
0
0
0
0
8
0
0
0
8
0
0
0
0
8
8
0
0
0
0
0
8
8
0
0
8
16
16
0
0
0
0
16
0
2
0
0
0
10
0
0
0
16
16
2
2
24
16
16
22
0
8
8
0
4
4
8
0
20
0
0
8
0
0
8
0
16
0
16
1
1
1
8
0
0
0
5
2
16
16
8
8
1
16
0
16
16
1
1
12
8
8
4
16
16
16
0
16
0
24
4
8
8
0
0
0
0
1
8
8
0
0
16
16
0
0
8
16
0
8
0
4
16
13
1
0
0
16
1
16
8
16
16
0
8
8
0
0
8
0
16
0
0
1
0
0
16
4
4
21
0
10
10
8
24
16
8
0
0
8
0
16
16
8
17
8
0
0
56
40
0
8
8
8
0
0
0
0
0
16
0
0
4
4
8
0
0
8
9
8
16
0
0
1
8
8
8
0
0
8
0
0
0
0
22
0
17
1
0
0
24
8
8
0
24
24
10
10
16
16
16
16
16
0
8
8
8
0
8
8
0
0
0
0
16
0
0
0
0
0
0
0
8
0
0
2
0
0
0
0
0
16
0
1
1
1
1
1
16
16
16
16
0
4
4
0
0
0
0
0
0
0
33
33
0
0
1
1
0
0
0
16
16
0
0
0
0
0
0
2
0
6
32
1
2
8
8
32
32
32
32
0
0
0
8
8
8
8
8
0
0
0
0
0
0
0
2
0
0
0
16
0
0
8
0
2
8
8
8
8
8
8
8
8
0
2
0
0
0
0
0
0
8
1
24
8
8
4
0
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
1
0
0
8
2
16
0
0
16
8
8
4
8
8
20
0
8
0
0
24
0
0
24
24
0
0
0
8
8
8
0
16
0
24
24
0
16
8
1
1
4
0
8
0
2
2
0
0
0
8
0
0
16
4
8
8
8
24
24
0
16
16
0
6
0
0
1
0
0
0
0
8
2
0
0
8
16
20
20
8
0
0
8
8
8
0
0
0
1
4
4
4
4
4
4
4
4
4
4
4
4
4
4
24
0
0
16
42
42
42
8
8
8
0
0
8
8
8
0
0
0
1
16
16
16
6
6
25
0
0
0
0
0
8
0
0
18
0
0
0
2
2
2
0
0
0
8
0
8
0
4
4
0
0
0
0
0
0
0
0
1
16
8
0
0
2
2
8
8
8
5
5
0
0
0
6
6
6
0
0
0
0
8
8
8
0
0
0
8
8
8
8
8
8
8
8
8
8
0
2
0
0
16
0
1
0
0
8
0
0
4
4
16
0
30
30
0
0
0
0
0
29
0
0
0
0
0
0
0
8
16
2
8
16
0
0
0
16
16
8
8
2
0
0
8
0
0
0
8
16
16
16
16
8
8
8
1
3
0
8
8
8
0
0
1
8
0
16
16
16
8
8
16
0
0
0
0
8
8
0
0
0
0
2
2
0
0
0
0
0
0
0
16
16
16
0
8
8
8
8
8
8
8
0
0
0
4
27
0
0
0
9
9
8
0
16
1
0
8
0
8
24
0
0
0
0
20
20
20
8
0
2
5
0
8
8
0
0
8
1
16
0
0
0
0
0
24
4
8
8
56
0
0
0
0
0
8
8
16
8
42
8
8
8
1
1
0
8
0
8
0
0
8
0
1
1
0
0
16
0
2
0
0
1
8
8
0
0
0
0
2
2
2
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
24
24
24
24
8
24
0
0
0
21
0
8
18
18
18
0
0
0
0
16
4
0
0
0
8
8
8
8
8
8
8
0
8
0
4
4
0
1
8
8
0
0
32
32
32
32
2
11
11
8
0
0
0
0
0
0
16
8
16
4
4
18
18
18
8
0
8
1
0
0
8
0
8
0
8
0
0
0
8
1
0
0
32
5
0
0
8
0
0
0
6
10
4
0
0
24
0
0
0
16
16
2
0
48
48
8
8
8
8
8
0
8
8
0
0
0
0
8
8
6
8
8
0
0
0
0
16
0
0
0
8
8
16
12
8
0
8
8
8
8
8
0
8
0
0
16
0
0
0
0
16
0
4
3
1
1
1
0
0
16
21
21
21
21
21
8
8
0
0
0
0
8
0
0
0
1
0
0
0
0
4
8
8
16
0
2
0
0
0
4
0
8
8
8
8
8
2
0
16
16
0
4
17
0
0
0
12
2
16
8
8
8
8
8
0
1
8
16
17
0
8
16
16
8
8
8
16
0
16
16
16
0
0
0
1
0
8
8
8
9
0
32
0
0
0
0
0
0
0
0
4
2
1
0
0
0
0
0
8
16
0
0
9
0
0
3
0
16
16
16
16
8
8
8
8
0
8
0
8
0
0
10
0
0
0
0
16
16
8
2
2
8
0
0
1
1
0
0
0
2
0
0
0
8
8
8
8
8
16
0
0
0
0
0
0
0
0
2
2
8
0
0
0
0
16
0
0
16
8
0
0
0
4
0
0
0
0
0
1
4
4
0
0
4
4
8
8
4
8
8
16
0
6
0
0
0
20
0
0
6
0
0
8
4
24
0
16
9
9
0
8
0
0
0
8
0
8
8
0
0
16
24
0
16
1
8
8
0
0
0
8
8
32
32
32
8
0
0
8
22
0
0
8
0
4
8
8
0
0
8
8
0
0
0
16
16
8
0
0
0
0
0
4
4
0
16
0
0
1
16
2
0
0
0
0
8
8
0
8
0
0
0
0
0
2
2
0
16
16
21
0
8
8
8
0
16
16
16
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
16
8
16
0
0
0
0
0
2
8
8
0
17
8
16
0
0
16
1
1
0
4
4
1
16
16
16
1
8
8
0
0
0
0
4
0
0
0
0
0
16
0
16
0
0
8
8
8
8
0
32
0
0
1
1
24
24
0
8
8
17
17
17
8
8
8
0
0
8
36
32
0
8
18
0
0
0
0
0
8
8
2
2
0
2
8
0
0
8
0
8
0
0
0
0
0
8
0
0
0
0
0
0
8
24
24
24
24
24
1
0
4
4
4
8
0
0
8
8
40
0
8
8
8
50
16
16
16
16
16
0
0
0
4
4
0
2
16
16
16
16
16
16
16
16
16
16
16
12
8
12
0
0
16
0
0
0
0
0
0
41
0
0
0
0
0
12
8
0
8
8
0
0
0
0
0
1
5
16
4
8
8
8
0
16
16
0
0
8
8
32
0
0
0
16
2
0
0
8
0
4
4
4
0
0
0
0
16
4
17
0
0
8
8
8
0
0
4
4
0
8
16
8
16
24
8
0
0
0
0
0
0
0
0
8
0
0
0
6
0
24
0
32
32
0
2
0
8
0
0
0
27
0
8
0
9
9
9
8
12
4
0
0
0
0
4
4
4
4
4
0
0
4
0
0
0
16
16
0
4
0
0
0
0
0
8
0
0
0
1
1
0
0
1
8
8
8
0
0
0
0
0
4
0
8
0
0
0
0
0
0
0
8
0
0
0
8
25
25
0
16
20
0
0
0
0
0
0
16
0
0
0
0
0
0
17
16
16
0
0
8
8
0
16
8
12
2
2
0
0
4
4
2
8
1
4
4
8
8
0
0
16
16
0
0
2
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
4
4
0
0
0
0
2
0
2
2
2
0
16
0
12
0
8
4
8
8
8
16
16
8
0
0
0
6
33
16
0
0
4
0
0
0
0
0
1
8
0
1
0
16
0
16
16
0
8
8
0
8
0
0
0
0
0
0
0
8
0
0
0
0
8
0
0
0
0
0
0
0
0
8
34
34
0
4
4
8
28
8
16
2
0
8
0
0
18
8
8
16
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
4
4
0
0
8
0
8
0
0
8
8
1
1
8
16
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
8
0
0
8
8
32
8
16
0
0
4
0
0
0
0
0
4
0
1
1
16
2
0
0
8
0
0
8
24
0
56
8
25
0
0
8
8
0
32
8
0
16
16
2
0
5
18
0
0
8
0
0
0
8
8
4
2
0
0
0
0
2
16
16
16
16
16
16
0
0
16
0
8
0
0
2
8
8
4
0
0
4
6
4
16
8
0
8
0
2
1
1
18
8
0
0
1
0
0
0
16
0
1
8
8
8
0
8
8
8
0
16
16
0
0
0
16
12
2
0
8
0
0
8
4
4
8
8
8
0
0
0
0
16
8
0
16
8
48
0
0
0
24
24
24
24
0
0
0
16
8
0
0
0
8
8
0
0
0
0
0
0
16
16
16
16
8
20
28
0
0
0
48
0
0
8
2
0
0
0
8
8
0
8
0
0
10
0
0
8
8
0
0
0
0
8
16
16
16
16
7
7
7
0
0
34
34
16
0
0
0
0
16
16
16
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
8
0
0
24
0
0
0
8
16
4
0
0
0
8
0
0
0
0
0
16
0
0
0
0
2
0
8
0
0
0
0
16
0
0
0
0
16
0
0
0
0
8
8
8
0
1
28
16
8
8
8
16
0
0
8
8
0
0
8
16
0
0
0
0
0
0
0
0
0
8
4
0
17
24
24
8
8
8
0
0
0
0
0
0
0
0
0
0
4
24
24
2
2
8
8
0
8
8
0
8
0
0
8
0
0
8
8
0
8
0
8
17
17
8
0
0
0
0
1
1
1
1
1
1
16
0
2
0
2
0
8
0
0
8
0
0
0
0
4
0
0
0
1
0
8
8
17
8
4
0
8
2
2
2
2
0
0
0
4
4
4
0
8
8
8
0
0
0
0
2
8
0
0
0
0
0
24
24
0
16
8
0
0
0
0
8
0
4
19
8
0
8
8
0
2
6
4
4
0
8
8
8
0
0
0
0
8
8
8
8
8
8
0
0
8
0
0
0
0
0
0
0
1
0
0
24
8
16
16
2
0
0
0
0
2
0
0
0
0
0
0
0
0
16
0
0
0
0
0
8
8
16
0
0
8
16
0
0
8
0
0
0
32
32
0
2
2
2
8
8
8
5
8
2
32
32
0
0
0
0
0
0
16
4
16
16
16
0
1
1
0
8
21
0
0
0
8
0
16
0
0
16
0
0
0
4
16
0
0
8
8
1
16
24
33
33
0
0
0
0
0
0
0
0
16
16
16
0
8
8
8
0
0
0
1
0
8
0
16
0
0
0
0
0
16
16
2
32
0
0
24
0
0
0
0
0
0
0
0
0
0
0
0
6
8
0
0
0
16
0
0
0
0
20
8
0
6
6
4
20
0
0
4
0
0
0
0
16
8
0
0
0
0
0
8
8
12
8
1
8
5
36
32
0
0
0
0
1
1
0
1
1
1
1
16
0
0
0
10
16
0
0
16
0
0
8
1
0
0
16
2
2
18
8
0
0
8
0
0
0
1
1
24
16
16
8
8
8
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
1
0
16
0
8
8
8
17
0
0
16
16
0
2
2
0
4
0
0
0
32
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
32
0
60
8
24
1
8
10
0
0
0
0
0
40
40
40
0
0
0
0
0
8
0
0
0
4
4
4
5
8
8
16
16
16
0
0
0
8
8
8
0
8
0
8
8
17
8
0
0
0
16
0
0
32
0
8
8
16
16
0
0
4
4
4
4
8
0
24
24
8
8
0
8
8
8
8
8
16
16
0
0
28
0
0
36
4
1
0
0
0
0
0
8
8
0
0
0
0
4
12
12
0
0
8
2
0
16
12
0
0
0
0
4
0
0
0
0
0
8
0
0
8
8
4
4
5
5
2
0
0
0
0
0
0
0
0
0
18
48
48
9
4
4
8
8
16
8
8
8
8
0
0
8
0
40
40
40
40
0
4
8
0
0
4
0
16
16
8
8
16
0
0
40
40
4
16
0
0
0
8
16
0
0
0
8
16
16
8
1
4
8
16
2
2
19
27
19
4
0
0
16
16
0
0
0
0
8
5
8
0
0
12
0
8
8
0
0
0
8
8
0
0
8
8
40
40
0
8
0
28
18
8
8
8
4
4
4
4
8
0
8
8
4
0
32
2
0
4
16
0
16
8
0
8
0
0
0
0
0
0
0
16
16
8
8
8
8
0
8
16
8
8
8
8
9
2
2
2
16
16
16
16
16
16
16
16
16
16
16
0
0
8
8
0
16
0
0
32
8
8
16
6
24
24
24
8
0
0
0
0
8
1
1
1
24
24
24
4
0
8
8
8
16
8
8
8
0
8
0
0
2
4
0
8
8
8
8
0
16
0
0
1
0
8
0
0
0
16
0
0
0
20
0
0
0
8
0
48
0
20
20
4
0
0
32
32
8
0
24
8
0
0
0
8
8
0
42
0
0
36
0
0
0
0
8
0
10
44
40
8
8
16
16
8
0
0
0
0
0
0
24
24
24
24
8
1
1
0
0
0
0
0
32
0
8
8
4
8
8
16
16
16
16
0
0
0
0
0
8
1
0
9
0
8
0
0
21
16
8
24
0
0
0
0
8
8
28
28
16
2
2
1
0
8
8
18
0
8
8
8
0
0
8
16
16
16
0
0
16
24
24
0
8
0
0
0
16
16
16
2
0
0
0
16
16
0
16
8
8
8
0
0
0
24
0
8
4
0
4
4
1
8
2
16
16
0
16
1
0
4
0
0
8
24
16
16
0
1
1
8
0
48
24
24
0
0
0
0
0
18
18
0
32
0
2
2
16
0
0
0
8
8
8
0
0
0
0
0
8
8
8
16
0
0
0
12
0
0
0
16
16
16
8
8
8
8
16
0
0
0
0
8
16
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
8
8
0
0
0
0
0
8
8
8
0
0
25
0
25
18
0
0
16
0
0
4
4
0
0
0
0
17
16
4
0
0
1
1
8
0
26
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
16
16
8
0
0
0
48
16
0
8
0
0
16
16
16
16
0
0
8
1
0
0
0
16
16
16
0
0
51
0
0
2
2
5
0
0
16
0
32
0
8
24
18
1
8
8
8
8
8
8
0
0
0
0
8
8
8
0
0
4
4
4
8
0
0
0
8
8
8
4
0
0
8
8
8
2
8
0
8
8
16
8
0
4
0
48
8
8
8
1
1
0
0
0
1
1
0
0
0
8
1
0
0
0
4
4
0
1
0
0
0
8
0
16
0
0
0
0
4
0
8
0
1
0
0
0
16
16
0
8
4
8
0
8
8
8
8
8
8
0
2
2
2
0
0
0
1
1
1
8
8
8
8
24
2
0
8
8
8
8
0
0
16
8
1
0
0
0
0
0
0
0
0
1
0
0
16
2
0
0
0
0
0
0
0
0
0
16
8
0
24
8
0
0
8
1
0
0
0
0
0
10
10
0
24
0
0
0
8
0
0
0
16
1
0
0
12
12
12
19
0
0
8
0
8
32
8
8
8
8
0
0
0
0
0
0
0
0
8
8
8
2
2
2
0
0
0
16
16
0
0
0
0
0
8
1
1
0
0
0
0
0
0
16
12
21
0
0
0
0
0
16
8
0
4
4
4
4
4
4
0
0
0
16
36
36
36
0
0
8
0
0
0
0
0
0
0
0
0
8
0
16
16
16
0
12
16
19
1
1
32
8
0
8
0
0
0
0
0
0
8
16
16
0
8
8
8
0
0
0
0
0
16
0
0
26
0
8
0
0
0
0
0
4
0
2
2
2
0
16
16
4
0
0
16
0
0
2
2
2
16
16
0
0
0
0
8
0
0
8
1
0
8
8
8
21
0
0
8
0
0
0
8
8
24
24
8
8
8
16
0
0
1
0
8
8
0
0
0
40
32
16
16
0
0
16
0
8
8
8
8
0
4
0
0
17
17
4
8
8
0
0
0
0
0
0
8
8
0
8
0
0
0
0
0
20
20
0
0
16
0
16
8
8
0
0
0
0
2
2
0
4
4
0
0
0
8
0
0
0
8
0
4
0
0
8
0
0
0
0
16
16
16
16
4
8
0
4
4
0
8
0
0
0
0
0
8
0
0
0
4
16
0
9
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
8
0
0
16
26
26
0
53
53
0
0
8
0
0
0
0
4
1
8
16
0
0
4
0
0
8
8
8
8
4
4
0
10
4
0
0
0
0
0
0
1
4
16
0
0
16
16
8
8
20
0
0
10
10
8
0
8
0
0
0
0
0
0
0
0
16
8
8
8
56
24
0
1
16
1
0
0
12
0
8
8
24
0
0
0
0
0
1
27
27
27
16
12
17
0
16
16
0
8
0
0
0
8
0
16
8
4
4
0
11
1
8
8
8
0
32
32
0
0
1
0
0
16
16
16
16
0
0
0
18
0
0
8
8
0
0
0
16
16
16
32
32
32
0
8
2
2
2
11
11
0
16
0
0
0
0
0
0
1
0
16
0
0
8
20
0
0
17
8
8
8
8
0
0
0
0
0
0
0
0
0
8
0
4
1
1
0
8
0
0
0
16
1
0
0
0
0
32
32
32
0
16
0
8
8
8
0
16
16
1
16
16
0
0
0
0
0
4
16
16
0
0
0
0
0
0
0
4
0
0
0
8
8
16
0
0
16
16
16
16
16
8
8
0
24
8
8
1
0
0
0
0
0
0
8
8
0
0
0
17
0
8
8
12
8
8
0
0
0
9
4
8
0
4
0
8
8
8
1
0
0
0
0
0
0
0
0
0
18
0
4
16
8
0
0
60
29
16
1
16
32
16
0
0
1
16
16
16
16
16
16
8
8
8
24
24
0
0
0
0
0
0
8
0
0
0
0
0
8
8
0
0
0
0
28
28
22
16
0
4
0
8
16
0
8
0
16
16
16
0
0
0
0
16
16
16
0
0
8
16
16
0
8
8
8
18
0
0
0
0
0
0
2
0
0
16
0
0
0
8
4
16
0
0
0
0
0
17
17
0
0
16
25
25
25
8
8
16
16
8
0
0
8
8
8
8
0
8
0
16
0
0
8
8
8
8
4
4
8
16
16
0
0
0
0
0
0
0
1
16
16
0
8
8
0
0
8
8
1
1
9
9
1
1
1
0
0
0
32
32
32
32
0
8
8
40
8
8
16
16
16
0
0
0
16
16
8
0
2
4
16
16
16
24
8
0
0
0
0
8
8
8
16
8
8
8
9
9
9
9
0
4
0
0
0
0
0
18
18
0
0
0
1
1
0
24
8
8
2
2
2
0
0
8
8
8
0
8
8
0
0
20
20
16
16
16
9
8
0
12
4
4
8
8
8
0
8
0
8
4
0
0
16
0
16
17
0
0
4
8
8
8
0
8
8
0
0
16
0
8
8
8
1
1
1
1
4
8
1
16
16
16
16
16
0
8
8
8
8
0
16
8
8
8
0
8
0
0
0
8
8
0
16
16
24
8
24
16
16
8
8
8
8
8
8
8
8
8
8
8
0
0
1
0
21
24
1
0
4
0
0
0
32
0
0
16
8
8
0
8
8
32
8
16
0
0
8
0
8
0
0
16
16
0
8
8
0
0
2
0
0
0
0
0
0
0
0
0
0
0
8
4
4
2
2
16
21
21
4
2
16
16
8
8
8
0
0
0
0
0
0
16
0
8
0
8
8
8
0
0
0
0
0
4
0
8
12
0
0
8
0
0
0
24
0
20
20
4
4
4
4
4
4
4
4
4
0
0
16
0
0
0
0
16
24
0
0
0
0
0
8
8
8
8
24
0
0
0
8
8
8
8
8
8
0
0
0
16
0
0
0
8
8
8
8
8
0
0
0
0
0
16
16
16
0
0
0
0
0
8
2
1
16
0
0
0
0
0
0
0
1
8
0
0
8
0
0
8
8
8
0
0
0
8
8
8
8
0
8
8
0
0
16
0
0
4
8
8
4
4
4
4
8
0
0
8
8
8
0
0
16
12
16
8
4
0
0
0
0
1
1
1
1
0
0
0
0
0
0
16
16
0
0
0
8
0
8
8
8
0
0
6
6
0
0
8
8
8
8
4
4
4
4
0
0
8
8
4
4
0
0
2
16
16
16
8
0
48
48
8
8
0
2
0
0
16
0
0
0
48
48
0
8
8
0
4
16
8
0
16
16
16
0
1
0
0
0
0
0
0
1
0
0
0
0
0
2
2
2
2
2
0
0
16
16
16
0
0
0
0
0
8
16
4
0
8
8
0
0
0
0
0
0
0
18
18
18
18
0
0
0
8
4
0
8
8
0
0
4
4
24
0
0
0
0
0
16
16
2
0
0
0
25
16
0
0
0
8
8
48
0
0
0
8
8
8
0
0
20
20
0
0
16
8
0
2
8
0
0
0
16
1
16
0
8
8
8
0
0
0
0
16
0
16
16
0
0
0
0
8
4
1
0
0
8
0
0
0
0
16
0
2
0
2
16
4
4
32
32
8
8
16
16
16
16
8
0
0
0
0
16
0
0
0
4
4
24
16
0
1
8
0
16
16
24
0
0
0
0
0
0
16
0
0
8
8
0
0
8
0
0
8
0
8
8
0
0
0
8
0
27
0
0
0
16
16
16
0
0
8
16
16
16
16
16
16
16
24
0
0
0
0
8
4
0
0
0
4
8
8
21
21
21
21
16
0
0
32
8
0
0
0
16
16
1
16
0
16
16
8
32
32
16
0
0
0
8
8
8
0
1
12
2
0
1
0
16
16
1
1
1
0
16
0
8
16
0
8
0
0
0
8
8
8
8
8
8
8
0
20
1
16
25
0
16
16
0
0
4
0
8
8
0
0
8
8
0
0
0
0
0
8
0
0
8
8
0
2
0
0
2
0
0
16
8
0
0
16
16
8
0
0
0
0
0
0
8
0
0
0
0
8
8
8
8
16
16
8
8
0
16
8
0
0
24
8
0
0
0
0
8
0
8
8
8
4
4
8
8
8
8
2
16
8
0
0
0
0
0
0
16
0
0
16
0
0
0
0
0
0
8
0
0
0
0
0
0
0
8
8
8
2
0
0
0
0
0
0
0
8
2
0
8
8
8
0
0
8
0
20
20
8
0
0
8
8
8
0
0
0
0
0
8
0
0
0
0
0
17
8
1
1
1
8
8
8
8
8
0
0
0
0
4
8
8
0
0
24
0
0
0
8
19
8
16
8
8
0
0
0
16
0
24
24
24
0
0
0
8
16
0
4
40
16
8
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
4
4
4
8
0
0
0
24
0
0
8
0
0
16
0
16
16
16
8
24
2
18
4
4
0
0
0
0
8
8
4
24
24
24
24
24
1
1
0
0
8
8
8
1
1
0
2
0
0
0
4
0
4
4
0
8
8
0
0
0
9
8
8
0
16
0
8
0
0
0
0
0
0
0
8
8
0
8
8
8
0
16
16
8
0
1
0
0
20
0
8
0
6
6
6
16
16
0
0
0
0
0
8
4
4
4
4
0
0
0
0
0
8
8
0
2
0
0
0
0
2
2
16
0
0
0
16
16
0
0
0
1
0
16
8
8
8
8
8
8
21
0
0
32
32
32
32
0
28
40
40
40
40
0
0
8
0
0
0
4
1
8
0
0
0
0
0
0
0
0
0
0
24
0
0
2
2
29
4
4
14
16
0
4
20
20
1
16
0
0
8
8
8
16
9
9
9
9
8
0
0
32
32
0
8
16
42
8
2
0
0
2
2
0
0
0
2
0
1
4
0
16
16
0
8
8
0
8
16
16
0
4
4
4
0
16
0
0
0
8
8
8
8
1
1
2
2
0
16
0
0
0
0
0
0
8
8
8
8
8
8
8
8
0
0
0
0
0
0
0
0
1
0
16
16
0
0
0
4
4
4
0
0
0
0
4
16
8
16
0
0
0
0
0
0
0
8
8
8
8
8
1
0
0
16
16
16
16
16
0
0
0
0
0
0
0
2
2
0
0
8
12
8
24
0
8
2
2
0
1
17
1
0
0
0
20
20
0
0
18
18
0
4
4
4
8
8
4
0
0
8
8
0
0
0
0
0
0
12
0
8
4
16
16
16
4
8
0
0
0
0
0
16
16
0
0
0
4
4
4
4
0
8
0
0
0
9
0
0
20
20
6
0
0
0
0
0
0
16
16
0
0
0
0
0
16
1
8
8
8
32
4
0
0
0
0
1
0
0
16
0
16
0
0
2
2
2
2
2
0
16
0
0
32
32
32
0
2
0
0
0
0
0
0
32
0
0
0
0
0
0
12
8
8
0
4
0
0
0
0
0
0
8
8
8
0
8
8
8
0
0
0
0
0
0
0
8
24
0
8
0
4
8
0
0
8
8
8
0
0
2
0
0
0
0
0
0
0
0
16
16
16
16
0
0
0
0
16
16
16
8
8
0
1
1
0
0
32
0
2
0
8
8
8
8
16
16
0
0
0
0
4
4
4
4
8
1
0
0
0
16
0
0
0
0
0
0
0
0
0
0
16
0
0
0
8
0
8
0
0
16
0
0
0
0
0
0
0
4
0
0
0
0
0
24
16
0
0
0
0
0
0
0
24
0
0
0
0
0
8
0
0
0
1
8
0
0
0
8
21
8
0
16
0
0
0
9
12
0
8
56
16
4
32
0
0
12
12
0
0
32
0
0
0
0
0
0
16
8
0
17
4
2
0
0
0
8
0
0
2
4
24
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
8
8
0
0
0
0
0
0
4
4
4
4
4
8
8
24
0
20
0
0
0
43
0
0
0
0
2
0
16
16
0
0
0
0
4
0
16
8
8
0
0
0
0
8
8
2
0
0
0
0
0
16
8
24
24
0
0
16
0
8
8
0
0
0
0
8
8
2
0
0
0
0
0
0
0
0
0
16
8
8
0
0
8
0
0
16
2
2
16
0
0
0
0
0
0
4
0
8
8
8
0
8
9
16
8
20
20
16
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
16
16
4
0
0
0
8
8
0
0
8
0
8
16
0
0
0
16
16
0
0
4
0
0
8
17
4
16
0
16
16
8
0
0
0
0
0
0
28
28
0
0
0
0
0
0
0
8
16
16
0
8
2
2
2
2
0
32
10
0
0
8
8
4
0
0
0
0
0
0
0
1
8
8
8
0
0
0
0
8
8
16
16
24
8
8
0
2
0
0
28
8
0
4
12
12
0
0
4
4
4
0
8
8
16
0
0
0
0
0
9
9
0
0
16
0
0
0
8
8
8
0
4
4
8
8
8
0
16
0
4
4
8
0
0
0
8
0
0
24
0
24
24
16
0
0
2
2
0
0
0
0
0
0
12
1
0
8
4
0
0
0
0
0
0
0
0
8
8
16
16
8
8
8
0
0
8
0
0
0
9
4
0
0
0
0
0
0
0
8
6
6
1
16
2
0
0
28
0
0
0
0
0
0
0
0
8
0
0
0
8
0
0
0
0
0
16
16
16
8
8
8
2
8
0
0
0
0
0
0
0
8
8
8
0
0
4
8
16
0
16
16
12
12
12
0
0
0
0
0
4
4
8
8
16
16
2
2
8
0
0
0
0
0
32
0
0
0
24
0
16
0
8
0
2
8
0
0
0
0
0
2
2
1
25
8
16
16
0
2
1
1
1
8
8
8
8
8
8
8
0
0
0
0
9
0
0
60
0
0
0
8
8
0
0
0
0
8
8
0
0
0
0
0
0
2
16
0
0
0
8
16
4
2
8
0
17
2
0
0
2
0
0
0
0
2
0
0
0
0
16
16
0
8
4
0
0
0
2
2
2
0
0
0
8
0
0
8
8
8
0
0
0
0
0
0
4
0
8
0
0
0
1
0
0
0
0
8
8
8
8
0
16
0
0
16
0
8
0
0
0
0
4
0
0
0
0
0
0
16
4
0
0
0
0
8
4
16
16
16
0
0
0
0
0
8
0
0
0
0
0
0
4
4
4
0
0
0
16
16
0
0
16
16
16
16
0
0
4
8
4
4
0
0
16
0
0
0
1
8
8
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
8
8
2
0
8
0
0
6
8
8
0
0
0
0
0
0
0
0
0
16
8
0
0
0
8
0
0
0
0
0
53
53
0
0
0
2
2
2
16
0
0
20
24
24
62
62
24
24
40
24
0
0
0
0
0
0
0
0
0
0
0
8
16
0
8
4
8
0
0
16
0
0
0
20
20
20
20
20
20
0
0
0
0
0
0
2
0
8
0
0
6
0
0
0
0
8
20
8
0
0
0
1
1
1
20
0
0
0
8
8
0
0
0
0
8
12
8
8
0
0
4
8
4
0
0
0
0
0
0
0
8
8
58
58
8
8
8
8
8
0
4
0
2
2
32
32
2
2
2
2
2
2
0
16
0
0
0
18
0
0
0
0
0
0
32
32
16
8
0
4
4
0
8
0
0
16
16
0
0
0
0
16
16
8
2
0
8
8
4
4
4
20
0
0
0
4
4
0
40
0
0
16
0
0
8
0
12
0
0
0
0
0
0
8
1
1
4
4
0
0
4
0
0
8
0
0
24
16
0
0
0
4
4
1
0
8
8
0
1
0
0
0
2
0
0
0
0
0
0
0
0
0
4
16
0
0
24
24
0
0
0
0
0
16
8
8
8
12
56
4
4
0
0
0
4
0
2
2
2
16
0
0
0
0
0
0
0
0
8
4
0
0
8
0
8
0
0
0
8
0
0
0
0
0
4
8
8
8
0
16
0
2
0
0
0
48
0
0
0
15
0
0
0
0
8
0
0
0
8
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
4
0
0
0
16
0
0
0
16
16
0
8
8
8
8
8
8
8
8
0
0
0
0
8
24
0
0
16
0
8
8
8
8
4
0
16
0
9
9
0
0
8
8
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
24
0
8
0
0
0
20
8
8
4
0
0
0
0
4
4
20
0
0
0
16
0
1
0
0
0
0
4
0
0
0
8
16
0
0
0
12
0
0
0
0
1
16
16
0
0
0
0
2
0
16
16
0
0
0
0
0
0
0
2
2
2
1
0
0
0
16
0
0
0
0
0
3
3
0
0
0
8
16
0
0
0
0
16
16
8
4
8
8
0
0
20
16
0
0
0
0
0
0
0
0
0
0
8
8
0
0
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
44
44
0
0
0
16
0
8
0
27
4
0
0
0
0
0
0
0
8
0
0
16
0
4
4
4
0
0
16
12
0
0
0
0
1
0
0
0
0
0
16
8
0
8
25
0
0
0
4
4
2
0
0
1
1
0
16
0
0
16
0
0
0
8
0
10
0
9
0
0
0
0
8
0
0
0
0
0
0
8
12
0
0
0
0
0
0
0
8
8
0
6
1
0
0
0
0
0
16
4
0
0
4
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
8
8
8
8
32
4
0
0
24
24
24
0
0
8
0
16
0
0
16
16
16
24
0
0
16
16
0
16
8
8
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
24
0
8
0
33
0
0
8
8
0
0
4
0
0
8
8
8
2
4
0
0
0
0
0
0
16
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
10
10
10
0
0
16
0
0
8
8
0
0
0
0
0
0
0
0
2
0
24
0
0
20
0
24
0
8
0
0
0
16
16
0
0
0
0
8
8
8
8
0
0
8
17
0
8
1
20
0
0
0
0
16
0
8
0
0
0
0
0
0
16
0
0
8
0
0
0
1
0
0
2
8
8
0
0
0
0
8
16
8
0
0
0
0
24
0
0
4
0
16
20
0
0
0
0
0
0
0
0
8
16
0
5
16
16
0
2
1
0
4
8
4
4
0
16
16
0
0
0
0
0
8
16
16
0
0
0
0
0
0
0
0
0
18
2
0
0
0
8
0
8
0
0
0
0
0
0
4
4
8
8
0
0
0
16
0
0
16
0
0
4
0
8
8
8
8
4
16
0
0
0
0
1
0
0
0
0
0
0
18
16
2
2
0
0
8
0
1
0
0
16
0
0
1
0
0
0
16
4
0
8
8
8
0
0
0
2
2
0
4
4
0
0
0
0
0
0
0
0
0
8
8
4
0
0
0
0
8
0
0
0
8
8
0
0
0
40
0
0
0
0
0
0
0
0
0
0
0
4
0
24
0
0
0
0
0
0
0
0
0
0
0
1
0
8
0
0
8
0
0
0
0
16
0
0
0
0
0
0
0
0
0
8
0
8
8
1
0
9
0
16
16
0
0
0
20
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
4
4
8
0
0
0
0
0
4
8
16
0
8
0
8
24
0
8
8
0
4
8
8
8
33
0
0
16
0
0
6
6
1
1
0
0
0
16
16
0
0
0
0
20
16
0
0
0
8
2
8
8
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
1
1
16
0
4
8
8
8
8
0
16
16
16
16
16
16
16
16
16
16
16
16
16
16
8
4
4
0
4
0
0
0
16
0
1
0
0
0
0
0
0
0
0
0
4
6
8
2
0
8
8
1
0
16
16
8
2
1
8
8
16
0
0
0
0
0
0
8
12
0
0
32
16
0
0
0
8
8
8
0
16
0
0
0
8
0
0
0
0
2
0
8
16
0
0
0
0
0
25
0
0
4
17
8
16
8
8
16
18
18
0
0
0
0
0
0
0
0
0
0
8
4
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
32
0
0
0
0
0
0
8
0
0
0
0
8
8
8
17
0
0
4
4
0
0
0
0
2
0
0
0
8
8
42
0
16
0
8
9
9
9
4
8
8
8
0
0
8
8
0
0
0
8
8
8
0
0
8
16
8
0
48
33
0
8
16
16
0
0
0
16
16
0
0
5
0
16
0
16
16
0
1
20
20
0
0
0
18
16
12
32
32
4
4
4
4
0
0
0
16
8
4
0
8
4
16
0
4
0
0
0
8
4
0
0
20
8
0
0
0
8
8
8
8
8
8
8
0
8
8
0
0
0
8
8
0
0
0
8
0
16
16
0
0
0
0
8
8
8
0
0
0
8
8
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
4
4
8
8
0
0
0
0
2
2
20
0
0
0
8
0
0
16
16
16
16
8
8
0
0
0
0
0
17
0
0
20
0
0
0
0
24
0
4
8
0
0
8
0
0
0
18
0
16
16
1
0
8
16
22
0
22
0
0
16
16
16
4
4
1
24
0
4
0
0
16
2
0
0
0
0
0
0
0
8
26
8
16
16
8
8
0
8
8
0
18
18
0
8
0
24
2
2
0
0
8
16
8
0
8
16
4
2
0
16
0
8
0
0
0
8
8
0
0
8
8
0
0
0
41
4
4
0
0
16
0
8
8
16
0
0
0
8
8
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
8
8
0
8
8
0
8
0
32
16
16
16
16
0
0
8
16
0
0
0
0
0
0
0
0
0
4
0
0
0
2
0
0
0
44
44
40
0
0
0
1
0
4
4
8
4
23
0
40
40
0
8
0
0
0
0
0
0
0
16
0
0
2
0
0
0
2
0
2
0
0
0
0
0
8
0
8
8
16
8
0
0
0
4
0
0
0
0
0
8
24
8
0
0
16
0
0
0
9
6
0
16
27
0
0
0
0
10
10
8
0
1
0
9
32
0
0
0
8
0
0
6
1
16
8
0
8
8
0
0
32
8
0
20
20
0
0
8
0
0
40
8
16
0
0
0
0
0
0
20
32
0
0
16
26
8
32
0
8
0
0
0
33
2
0
0
0
0
0
0
0
24
0
8
8
20
20
0
4
0
0
0
2
0
16
8
0
1
16
24
16
8
0
0
0
56
56
56
0
0
0
0
16
16
0
0
8
0
0
4
0
0
0
24
12
8
8
8
8
16
16
0
2
0
8
8
16
0
8
2
0
0
0
0
1
8
8
0
0
16
0
16
16
0
0
24
24
8
0
12
0
0
0
17
17
19
0
0
0
0
16
20
20
24
8
0
0
8
0
8
0
8
4
4
4
4
12
12
12
12
0
0
0
4
8
0
0
0
0
2
2
32
0
16
0
0
0
0
0
8
0
0
0
0
0
8
8
4
4
4
4
0
0
0
0
0
0
0
16
0
0
4
8
8
0
0
0
0
0
2
2
12
4
24
0
0
0
28
0
0
16
8
0
0
2
0
18
0
0
8
8
21
4
0
2
4
4
8
8
8
8
1
16
0
0
0
0
0
0
4
0
16
16
0
16
8
8
8
0
0
0
0
1
0
4
4
4
0
0
0
16
3
3
3
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
8
0
0
0
16
0
0
0
8
8
0
0
16
24
24
1
8
16
16
0
0
0
0
0
0
16
16
16
8
0
0
0
8
0
4
24
24
24
24
0
0
8
0
8
16
0
0
0
0
0
16
8
4
8
0
8
17
0
8
0
32
0
4
32
8
1
0
0
16
0
0
1
8
8
0
0
8
0
0
8
0
4
16
3
3
3
0
8
8
8
8
0
16
16
8
4
4
2
0
8
16
8
8
16
16
16
16
16
0
17
0
0
0
0
0
0
0
4
0
8
8
0
16
16
0
8
8
8
8
8
8
40
40
0
24
16
8
8
0
0
0
0
0
0
0
0
0
0
16
0
0
8
0
0
0
0
0
0
20
0
8
0
8
8
0
8
8
0
0
24
0
0
4
0
0
0
0
0
16
8
8
8
8
0
8
8
8
2
0
0
1
1
8
16
0
0
0
16
16
0
0
5
8
0
0
0
0
0
0
16
0
0
0
8
0
0
0
0
16
0
0
0
0
16
3
16
16
4
4
0
0
0
0
0
16
16
16
16
9
1
1
2
8
0
0
0
0
4
0
0
0
0
0
8
8
0
16
16
16
8
8
0
0
0
3
8
8
0
0
0
0
0
0
0
0
8
8
0
1
1
0
0
16
0
4
4
0
16
0
0
0
2
24
0
0
0
0
20
4
16
1
8
8
8
16
16
0
0
0
8
8
0
20
4
4
16
16
0
0
0
16
0
24
0
4
0
0
0
0
1
0
0
0
0
0
0
2
0
4
0
8
4
4
4
4
4
2
0
0
0
4
4
16
16
1
1
1
1
0
0
9
0
0
4
4
28
0
24
0
16
8
8
0
4
4
16
2
8
8
0
0
16
0
0
8
8
12
40
16
16
16
2
24
1
16
0
0
0
0
0
8
0
0
8
8
0
0
0
0
0
0
0
0
16
0
0
0
8
0
0
0
40
8
20
0
0
0
0
8
0
0
0
16
24
24
0
0
0
4
16
2
0
0
0
40
8
8
1
1
0
0
24
0
0
18
0
0
0
0
0
0
0
0
0
32
4
4
4
0
16
4
16
10
10
8
8
2
0
8
0
0
16
16
16
0
0
0
0
16
1
0
16
0
0
0
0
0
8
32
0
0
0
0
0
0
8
0
0
0
0
0
0
0
8
8
8
0
2
16
0
0
8
0
0
0
0
28
8
4
0
0
0
0
0
0
0
0
0
0
8
0
8
2
0
8
0
0
6
0
8
0
0
8
8
8
24
0
0
0
0
0
17
2
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
8
16
0
8
8
4
4
0
16
16
16
16
0
4
0
0
16
0
0
0
0
0
0
0
0
2
2
2
2
0
8
8
8
4
0
0
0
0
0
0
0
0
0
0
0
0
14
2
0
8
0
16
0
0
0
1
1
0
0
0
16
16
0
0
0
0
0
16
8
8
0
4
0
8
8
8
8
8
0
8
0
1
1
0
0
4
0
0
8
0
2
2
2
0
0
1
1
1
16
20
0
0
8
0
8
0
0
16
0
0
12
12
8
8
0
0
0
0
0
0
4
0
0
24
24
0
22
22
8
4
8
8
28
8
8
8
0
8
0
16
4
8
8
8
1
1
8
0
0
0
0
0
4
24
24
25
0
0
20
0
0
0
0
32
1
18
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
16
2
2
8
0
0
0
0
8
16
0
0
8
24
24
24
0
0
0
0
0
0
0
0
0
0
8
8
16
16
0
16
0
8
0
1
1
2
16
16
8
4
0
0
20
20
8
4
2
0
0
0
13
13
16
0
8
0
16
0
0
0
0
0
16
4
4
0
0
16
0
0
0
0
1
8
0
8
8
0
4
0
0
0
8
16
24
0
0
0
0
0
8
8
8
8
0
0
0
0
0
8
0
0
0
0
32
0
0
16
16
0
4
1
0
0
4
0
0
16
0
0
0
0
4
0
8
0
0
0
10
6
6
6
8
8
8
0
0
0
24
0
0
0
2
0
1
2
0
0
12
12
0
0
0
0
0
16
16
4
4
8
0
0
0
8
0
0
17
0
8
0
0
0
0
0
0
0
0
16
0
16
0
0
4
0
1
0
0
5
4
8
16
16
0
8
8
0
4
0
0
2
2
0
0
0
0
8
16
8
18
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
8
8
0
24
0
0
8
0
0
2
0
8
16
0
0
8
0
0
22
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
8
8
16
0
8
0
0
0
0
0
8
0
0
24
0
0
0
0
0
0
0
0
0
0
0
0
8
4
0
0
0
0
0
0
16
16
16
0
0
8
8
16
16
16
16
4
10
1
1
0
0
0
0
0
19
0
0
8
0
0
0
16
16
8
1
16
0
0
0
0
8
0
16
16
16
16
0
2
8
8
0
56
56
0
0
8
8
16
0
0
16
16
0
0
0
1
1
0
0
0
8
8
8
16
0
8
0
0
0
0
0
16
0
0
0
0
8
8
8
8
0
0
16
16
16
2
8
0
6
16
16
8
0
0
4
4
4
8
4
4
2
2
0
0
0
0
0
0
16
0
0
16
16
16
4
4
0
0
0
0
18
16
16
0
0
0
8
0
0
8
0
0
0
8
12
0
0
0
0
0
8
8
25
1
1
1
0
8
2
0
0
8
8
0
0
2
0
4
2
0
0
0
0
0
0
0
0
0
0
0
2
8
8
4
16
9
1
2
0
0
8
20
0
0
8
28
28
28
0
24
24
0
0
0
8
2
2
0
0
29
5
18
0
0
0
0
0
0
0
8
0
0
0
0
0
8
8
8
8
9
16
0
0
8
0
0
0
0
0
8
0
0
4
0
8
0
0
8
8
0
8
16
16
0
0
18
0
0
0
0
0
0
0
0
4
0
8
0
0
0
0
0
16
0
0
4
8
8
0
0
1
8
4
16
8
8
0
0
0
0
0
0
0
0
18
18
18
0
0
24
24
0
0
0
0
4
4
4
4
0
4
0
8
0
0
0
8
4
0
0
0
0
0
8
0
16
0
0
0
0
24
24
0
8
0
0
8
4
4
4
8
0
4
0
0
0
0
2
2
0
0
0
0
0
2
16
16
16
4
8
0
0
0
0
0
0
0
8
24
24
4
4
0
0
0
0
0
0
4
1
0
0
8
24
0
44
8
8
8
0
0
8
8
8
8
8
0
0
0
4
1
1
16
0
0
0
0
32
32
0
0
0
0
0
0
0
0
0
0
0
26
0
0
2
0
4
4
8
8
0
2
18
8
2
8
22
0
0
0
14
14
0
8
24
6
6
0
0
28
28
32
32
1
0
0
4
0
4
4
0
8
8
14
0
0
2
16
16
16
0
0
16
0
0
0
0
0
2
2
0
0
2
5
1
4
4
0
8
0
8
8
0
0
0
0
0
0
0
8
0
0
0
8
8
0
16
16
4
8
8
8
0
0
20
8
0
0
0
0
0
0
8
8
0
8
8
8
8
8
24
0
0
2
16
8
4
16
0
0
0
0
0
8
4
4
0
0
0
0
0
0
0
8
8
20
16
16
16
0
6
16
0
0
0
0
0
49
0
0
8
8
2
0
0
0
8
0
0
8
0
0
0
0
18
0
0
0
8
2
2
0
0
1
26
0
0
0
4
4
0
0
0
8
8
8
0
8
0
0
0
8
8
8
0
0
24
0
0
0
0
0
0
6
6
0
0
0
0
8
8
0
16
16
0
8
1
1
1
8
0
16
0
0
8
0
0
16
16
0
8
16
8
16
0
0
0
16
16
0
0
16
0
8
0
9
9
8
40
40
16
8
8
24
24
16
16
0
16
16
16
0
0
8
8
8
0
0
0
0
16
32
8
8
0
0
8
4
0
0
8
1
0
16
16
8
0
0
15
0
0
0
16
16
0
0
0
0
0
0
0
0
16
16
16
8
0
8
0
24
8
0
8
4
4
16
16
16
0
0
0
0
8
8
9
8
0
0
0
16
16
9
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
2
0
8
0
16
0
0
0
0
8
8
8
8
34
2
2
8
0
16
8
8
8
8
8
8
1
16
0
0
26
25
25
25
8
0
0
0
0
0
0
8
16
16
0
0
0
4
24
24
4
0
8
8
0
32
0
16
16
0
0
1
0
0
4
4
0
8
4
0
0
0
0
0
0
0
0
6
2
8
12
0
0
8
2
16
8
0
4
0
8
4
17
0
16
16
16
8
16
0
0
0
16
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
16
8
8
0
0
12
16
16
0
0
8
16
0
2
0
4
4
4
4
4
4
0
0
16
0
0
0
16
0
0
0
0
0
0
0
0
0
0
8
8
8
32
4
4
0
0
16
32
0
8
8
8
1
4
4
1
1
0
32
0
0
0
0
0
8
8
8
8
4
4
0
1
8
24
0
0
4
0
2
8
0
16
16
0
57
8
0
8
0
0
0
0
0
8
0
4
28
12
0
2
0
8
8
8
16
8
8
8
10
0
0
20
16
0
0
8
0
0
0
0
0
0
0
0
0
0
8
0
8
0
0
8
8
0
0
8
0
0
0
0
0
0
8
0
0
0
8
0
16
16
0
24
24
16
0
0
0
4
8
26
0
12
0
0
0
20
20
20
16
16
16
16
16
1
0
8
16
0
0
0
0
16
16
8
8
8
8
8
8
0
28
0
0
0
0
1
0
8
8
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
16
8
8
8
0
2
2
0
0
8
0
0
17
17
17
17
0
5
0
0
8
8
8
0
1
0
0
0
1
0
0
0
0
8
0
0
8
3
3
0
16
16
0
0
0
0
0
8
0
0
0
0
0
22
22
0
1
16
8
16
0
0
0
0
0
0
16
21
16
0
24
8
52
52
1
0
0
0
8
16
0
16
2
6
2
16
0
16
0
2
0
0
0
0
1
1
1
0
0
0
0
1
8
0
0
0
0
8
0
8
8
0
0
0
8
0
0
8
0
24
24
4
4
0
0
6
0
40
1
1
1
1
1
0
8
8
0
8
12
16
16
0
0
0
0
1
8
8
0
16
16
0
0
0
0
8
8
32
4
0
0
0
2
0
4
4
2
2
8
8
0
0
0
8
0
0
0
0
8
8
8
8
8
0
8
0
0
0
0
0
16
16
16
16
17
17
0
0
16
16
16
4
6
8
0
0
8
0
0
16
0
16
0
0
8
8
5
5
8
0
0
16
4
4
0
10
8
8
0
8
8
8
0
8
8
8
8
16
16
16
16
0
0
2
2
0
8
2
0
0
4
0
0
0
8
0
0
17
0
0
4
0
0
0
0
0
0
0
8
8
8
0
0
4
0
1
0
16
0
8
8
0
4
4
0
0
4
0
16
16
4
0
16
0
0
0
24
0
8
4
0
16
1
0
4
4
0
8
0
3
1
0
0
0
0
0
0
8
8
0
18
0
0
0
1
1
0
2
2
4
0
0
0
0
0
0
0
4
4
9
9
8
0
0
16
16
0
16
0
0
8
8
8
8
0
0
0
0
27
0
8
24
28
28
0
0
0
8
0
8
16
16
16
16
16
10
8
8
4
22
0
0
0
8
0
0
0
8
0
0
1
4
0
18
0
0
8
8
8
8
0
0
0
0
8
16
0
0
0
4
16
16
0
0
0
1
0
0
0
0
16
16
8
16
16
0
0
0
0
16
16
24
24
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
8
8
8
8
8
8
8
16
16
16
16
16
8
24
0
16
8
0
0
0
0
24
10
0
0
0
8
0
16
0
0
0
0
0
8
1
8
8
4
4
4
16
26
16
8
0
8
0
0
8
0
0
0
4
6
6
0
0
8
16
4
0
0
0
0
1
0
8
0
20
0
0
0
0
8
8
8
8
8
0
0
0
1
8
8
16
9
8
0
0
0
0
0
0
24
16
0
4
1
23
0
0
8
1
16
16
0
0
0
0
8
8
8
0
0
0
0
0
16
0
8
8
0
0
16
1
8
0
8
0
16
1
0
0
0
0
8
0
0
0
8
0
0
0
8
0
0
0
0
0
8
0
1
32
32
16
8
8
0
0
8
0
16
8
16
0
0
8
1
0
24
8
0
16
0
0
24
16
1
0
0
0
0
48
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
16
16
0
0
11
0
0
8
8
0
0
1
0
0
0
0
8
16
16
0
0
0
0
0
16
0
0
0
0
0
16
9
4
0
24
24
8
0
0
1
8
4
4
0
0
0
4
0
0
0
0
0
0
0
0
0
16
0
0
8
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
1
1
1
0
0
6
0
0
0
0
0
16
0
0
0
1
2
0
0
4
16
0
0
0
0
28
28
0
0
0
0
2
0
8
0
0
0
8
0
8
8
8
8
0
0
0
3
0
8
24
0
8
0
0
4
4
0
0
0
18
16
21
20
0
0
16
16
0
0
0
0
0
4
8
0
16
1
0
0
0
0
0
8
8
0
4
8
0
1
0
0
0
0
8
16
16
16
16
16
16
1
8
2
0
16
0
0
0
0
0
0
0
0
0
0
16
0
8
8
0
0
16
8
8
12
4
0
0
0
0
0
0
8
8
0
0
8
8
8
0
2
0
8
0
0
0
0
0
0
0
0
0
8
8
8
8
8
0
0
8
8
8
8
0
24
24
0
0
16
0
0
0
0
0
0
0
0
8
0
0
0
0
16
16
4
4
0
0
16
16
8
0
8
0
0
0
0
8
8
0
24
16
16
16
8
0
0
6
6
6
16
25
48
16
0
1
0
16
16
0
0
0
0
0
0
0
0
0
0
1
8
16
16
0
8
8
0
0
1
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
58
0
0
8
0
0
4
4
0
16
16
16
16
8
16
2
2
0
0
8
0
0
4
4
0
1
1
16
4
0
10
8
0
8
8
16
16
0
0
0
16
16
0
0
16
0
0
0
0
4
4
8
8
8
4
0
0
0
12
12
0
0
0
0
36
16
8
0
0
0
0
0
8
0
0
8
8
8
0
8
8
8
8
16
16
16
16
0
1
2
0
6
6
6
0
0
0
0
0
8
0
10
10
4
2
0
0
20
20
0
8
0
24
0
0
0
0
0
0
8
24
24
8
24
0
2
0
0
8
8
0
0
13
0
0
1
16
16
16
4
4
0
8
4
0
0
32
4
0
2
24
0
18
8
0
24
8
4
0
0
8
20
0
23
0
8
8
0
3
3
3
6
12
12
8
0
0
0
1
16
0
0
0
8
8
8
0
0
0
32
0
0
0
5
1
0
0
0
0
0
0
0
0
0
0
0
1
1
0
7
3
8
40
8
8
0
0
0
56
0
16
16
0
2
0
0
0
0
0
8
8
8
8
0
8
8
8
0
8
8
0
8
0
0
24
24
0
0
16
16
0
0
16
30
0
9
0
0
0
0
0
14
16
0
4
33
0
0
8
8
16
0
8
0
0
1
1
1
1
1
1
1
0
0
0
0
0
0
0
16
16
16
0
4
4
0
0
8
0
0
0
4
4
0
0
16
23
0
0
0
0
0
8
8
16
8
18
6
1
8
0
16
8
0
0
0
8
8
0
8
0
8
0
0
0
2
0
2
16
0
16
16
16
0
8
24
8
8
8
0
0
0
0
0
16
16
0
0
8
8
8
0
0
16
4
4
0
0
24
0
0
8
0
0
0
4
0
0
8
0
0
0
16
16
16
0
24
8
8
25
0
22
8
8
0
0
0
26
0
4
12
16
8
8
8
0
0
0
0
8
8
0
0
0
0
16
0
0
8
0
8
0
24
16
0
8
24
0
0
0
0
0
0
8
0
0
0
16
4
8
8
8
8
0
8
8
8
0
8
22
22
2
0
2
0
0
0
44
8
8
24
8
0
0
0
16
16
4
0
0
0
0
9
8
18
0
0
8
8
24
8
8
0
8
8
8
2
8
0
0
0
0
0
0
0
0
0
8
8
8
8
0
0
0
0
8
0
0
0
1
16
16
4
8
4
0
0
40
8
0
0
0
4
0
0
0
0
0
8
8
0
0
8
8
4
0
0
0
0
0
0
0
0
0
4
4
8
8
1
4
0
0
0
8
0
24
0
24
0
32
32
0
0
8
8
0
24
24
0
40
0
0
0
8
8
0
25
16
16
17
2
8
8
0
0
56
8
8
8
8
8
0
16
8
0
8
0
4
8
8
2
0
0
0
0
0
0
25
8
8
0
0
4
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
4
0
8
8
8
8
0
0
8
0
8
8
8
8
8
8
17
8
8
8
0
0
0
49
24
24
24
16
16
16
0
0
0
0
0
8
0
25
0
2
24
0
8
4
0
0
0
0
36
8
0
0
0
0
0
8
0
0
0
1
0
0
0
0
0
0
2
0
8
8
0
0
0
0
8
0
0
0
10
20
4
4
4
0
8
0
0
8
0
0
0
0
16
8
0
0
2
2
2
8
8
0
8
0
20
4
4
8
8
0
0
0
0
0
0
8
0
0
16
0
0
0
0
0
12
0
6
0
0
0
0
2
0
0
0
52
0
0
0
8
0
0
16
0
0
0
0
0
0
0
1
0
0
0
0
2
4
0
0
0
0
8
0
16
16
9
4
8
2
8
8
8
8
8
4
8
8
0
0
8
8
8
8
0
8
0
4
1
1
0
0
0
0
4
0
0
0
4
4
24
0
0
0
8
0
0
8
0
16
2
2
2
0
8
0
0
0
0
0
4
0
0
0
5
5
20
0
0
0
0
0
0
0
24
8
0
0
0
0
0
0
0
0
16
0
0
0
4
0
0
0
0
0
0
2
0
8
0
8
0
16
0
0
0
0
0
0
0
0
16
16
32
32
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
8
8
8
16
16
16
0
0
0
0
4
8
1
0
0
1
4
4
8
1
1
8
8
0
0
0
0
1
0
0
16
16
16
4
4
0
0
0
0
0
8
1
17
8
0
0
32
16
6
0
0
24
8
8
0
0
16
0
0
0
0
0
0
0
0
0
8
0
0
4
4
8
0
0
4
4
2
0
8
0
8
2
4
4
0
0
0
0
24
0
8
8
8
8
0
0
8
8
2
2
57
0
8
0
0
0
0
0
0
0
0
4
8
0
0
0
0
8
0
8
8
16
8
2
2
0
8
8
1
1
1
0
0
2
0
0
8
16
0
0
0
0
4
1
1
16
16
0
8
8
8
8
8
8
8
8
8
16
0
16
0
3
2
2
16
0
16
8
8
8
1
1
0
0
8
0
0
2
0
0
0
8
0
16
8
16
16
4
8
16
4
8
0
0
0
16
0
8
0
20
20
4
0
8
0
16
16
0
0
16
10
8
8
24
24
8
8
0
0
4
0
0
0
0
0
4
8
1
16
16
24
24
6
6
0
0
0
8
0
2
0
16
8
8
8
0
8
1
0
0
0
0
8
0
0
0
8
0
0
2
2
2
8
0
8
2
8
4
16
2
1
0
8
8
8
0
4
4
8
8
8
8
16
0
0
8
0
0
8
8
0
0
0
0
20
4
2
0
0
0
16
38
0
18
0
16
0
1
1
8
16
0
0
16
16
2
0
0
33
0
0
0
8
0
0
2
24
24
0
0
0
0
0
16
16
0
0
0
0
8
0
0
8
4
8
21
0
0
16
16
16
16
0
0
0
0
0
0
0
16
8
8
8
8
8
8
8
0
16
1
4
24
16
8
0
0
0
24
24
0
0
0
8
8
0
0
0
0
8
8
8
8
4
0
8
2
1
0
0
0
8
8
8
8
8
8
8
0
12
8
25
16
1
8
4
4
0
0
0
16
32
8
0
8
0
0
0
1
0
0
0
16
17
0
16
0
0
8
8
0
0
8
20
4
4
0
0
0
32
0
8
0
8
8
0
8
24
0
0
0
0
0
0
0
0
0
16
16
8
8
8
8
8
8
8
8
8
0
4
4
0
3
0
8
0
0
2
0
0
0
24
0
40
16
16
16
0
0
1
1
0
16
0
17
8
0
0
0
0
0
0
16
16
16
8
8
8
0
4
4
4
0
2
4
8
8
8
48
48
0
0
0
1
0
0
8
8
4
2
16
0
4
4
16
32
24
24
0
0
0
8
0
1
0
13
0
0
0
0
8
0
0
26
0
8
0
0
25
0
16
16
16
0
0
8
0
0
4
8
8
16
0
8
16
24
0
2
16
0
0
0
4
8
8
16
16
16
16
16
16
16
0
0
12
32
8
0
16
0
4
0
0
16
2
0
0
8
0
0
0
0
0
4
8
8
0
0
0
16
16
16
0
8
8
8
16
0
4
0
24
0
1
0
0
6
6
16
20
20
6
4
6
6
6
0
0
0
0
8
0
16
0
8
8
0
28
0
8
0
16
8
8
0
0
0
4
4
0
0
8
8
8
18
18
4
3
59
29
29
24
24
16
0
8
8
0
16
0
0
1
1
0
0
0
0
0
0
32
1
0
0
0
8
8
8
0
0
0
24
0
0
24
16
0
1
0
0
0
8
0
0
0
1
6
0
0
0
0
8
8
0
8
8
1
0
16
16
32
1
1
1
16
0
0
20
20
8
16
0
0
0
0
0
8
8
0
4
0
20
20
0
0
16
8
0
8
8
0
25
25
0
0
8
8
8
16
16
16
16
0
0
17
8
0
0
0
0
0
8
10
16
0
0
8
8
8
0
8
0
8
8
8
0
8
0
0
0
0
0
0
0
16
0
16
0
0
0
0
8
4
0
0
0
16
16
8
2
2
8
8
1
8
8
0
1
16
24
0
0
8
1
1
16
16
1
16
8
8
16
4
0
0
0
0
0
4
4
4
0
0
0
0
28
28
16
4
0
0
16
16
0
4
0
0
0
0
0
0
10
28
0
0
9
53
53
53
0
0
32
32
16
8
16
0
8
8
0
0
18
0
16
16
2
2
0
0
0
0
0
0
8
1
0
0
12
12
1
20
16
8
2
0
0
0
0
0
0
0
8
8
8
8
0
0
8
4
4
0
8
0
0
4
0
0
10
10
4
0
0
0
8
8
0
8
8
0
0
0
0
0
0
0
0
0
0
0
16
1
1
0
0
0
0
0
0
0
0
0
8
0
16
0
0
8
0
0
0
0
0
0
1
16
16
16
0
0
0
0
0
0
0
16
0
8
0
16
0
24
0
0
0
43
16
0
0
0
8
0
16
12
12
8
4
0
0
8
9
1
16
16
8
16
16
8
8
0
0
0
0
0
0
0
17
0
1
0
0
0
0
0
0
0
0
16
16
16
0
4
4
0
24
24
16
16
16
0
0
0
0
4
2
8
0
0
8
8
20
16
16
16
16
16
0
0
0
0
0
0
0
0
0
0
8
8
8
8
0
0
0
0
0
32
4
4
8
8
8
0
0
8
14
8
8
4
4
32
32
0
0
0
8
0
0
0
0
32
32
8
8
8
16
2
0
0
0
8
0
0
0
0
0
0
1
8
8
8
8
8
0
0
12
0
0
0
24
2
8
8
0
24
0
0
0
0
16
16
8
2
8
2
2
2
8
5
8
16
0
0
0
8
0
8
8
8
8
0
0
0
8
8
0
0
0
0
0
0
16
16
8
8
0
0
0
0
0
0
8
0
0
0
8
0
0
8
16
32
16
8
0
4
0
0
0
0
32
32
32
32
16
0
0
0
0
0
16
10
0
0
0
0
0
0
0
4
16
32
32
0
0
0
8
1
0
2
4
2
2
2
2
8
0
0
0
0
0
0
0
8
16
4
4
0
0
1
1
8
2
48
0
0
0
0
6
4
16
16
0
0
0
8
1
1
1
1
1
0
0
0
0
16
0
0
0
16
3
0
0
32
0
0
8
0
8
8
0
8
0
0
16
0
0
0
0
4
0
0
4
4
0
0
0
0
0
27
8
16
3
0
2
0
16
0
0
0
0
16
0
0
8
4
4
0
0
0
0
0
0
0
1
24
24
24
1
1
16
4
4
0
8
16
8
8
16
16
10
10
16
16
8
0
8
0
0
8
0
0
2
0
0
0
0
5
0
16
16
0
1
0
0
0
0
0
0
0
0
20
0
0
0
0
0
0
0
4
4
8
4
0
0
0
16
0
16
16
16
17
17
8
8
8
8
8
8
0
0
4
4
8
0
0
0
41
8
1
1
1
2
0
0
4
0
0
0
0
0
16
0
8
0
0
0
0
0
22
0
0
0
0
0
16
8
0
0
0
0
0
0
0
0
4
4
8
0
0
8
8
0
0
0
0
0
0
0
1
16
24
16
8
8
8
0
0
0
0
0
0
8
4
0
0
16
16
8
8
0
8
8
8
8
0
0
0
16
16
16
16
0
8
10
8
8
16
0
8
0
2
2
0
0
0
2
0
8
0
4
0
0
0
0
8
0
0
0
0
0
0
0
16
16
0
8
0
16
16
16
16
0
2
8
8
8
16
4
16
20
20
20
8
16
8
0
8
8
48
48
0
0
16
8
8
8
16
0
4
8
16
0
0
8
24
8
8
27
16
0
0
0
0
0
0
0
8
2
2
16
42
16
16
0
16
16
16
16
16
16
0
1
16
8
4
0
1
1
1
0
16
16
16
0
16
0
3
8
8
0
1
0
8
1
1
18
17
0
0
3
1
1
1
20
0
8
16
0
16
8
16
16
0
16
16
8
8
32
32
0
2
2
16
8
8
8
8
16
8
0
0
24
0
16
0
0
0
10
2
0
0
8
1
0
0
0
0
16
0
1
16
16
16
16
16
16
16
16
16
16
8
0
0
0
0
0
24
0
0
0
18
0
0
0
0
16
22
8
8
21
8
8
24
0
17
1
0
12
4
8
8
8
8
8
0
8
4
0
0
8
8
20
16
16
16
17
0
0
8
8
8
8
8
5
0
0
8
8
8
0
0
0
0
0
0
0
16
8
8
61
61
0
16
16
16
16
52
0
0
0
0
0
0
2
4
4
8
8
8
8
4
4
4
4
0
0
0
0
1
16
35
8
8
9
9
8
8
8
8
4
1
8
0
0
0
2
4
4
4
0
0
0
1
0
0
4
4
4
0
20
20
20
0
16
0
8
16
16
0
2
0
8
8
0
28
4
0
8
8
0
4
8
8
0
8
8
8
8
16
16
16
16
0
8
0
0
0
8
0
1
1
16
1
0
0
4
32
8
16
4
4
0
16
0
0
8
17
17
17
17
1
0
0
0
0
0
0
0
16
0
0
16
16
6
8
8
2
0
0
0
0
2
0
0
1
0
4
4
0
0
0
0
0
0
16
8
0
4
0
0
0
0
0
0
0
0
40
8
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
4
4
4
20
8
25
8
1
16
16
26
0
0
0
0
1
1
0
0
8
16
8
8
1
1
16
0
4
16
24
24
24
0
0
16
2
8
0
8
8
8
0
0
16
16
8
1
1
28
28
28
8
0
8
0
0
0
16
8
8
8
0
0
8
24
16
8
0
4
0
1
1
8
8
0
1
1
8
0
0
0
16
16
8
0
8
8
8
0
7
7
0
17
17
0
0
0
0
16
4
4
0
8
0
8
0
0
0
17
17
17
0
8
0
8
1
0
0
0
0
17
16
8
0
0
0
8
4
0
0
0
0
0
16
0
0
0
0
8
0
1
4
0
0
0
0
0
0
0
24
24
8
0
0
8
8
8
0
0
0
0
0
0
0
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
4
4
4
0
0
0
0
0
16
2
0
0
1
24
0
0
0
16
1
0
0
0
0
8
0
0
0
8
4
16
8
0
0
0
0
0
16
0
16
2
1
1
16
0
0
8
0
2
2
8
8
0
8
8
8
24
0
4
32
32
0
0
0
0
0
0
8
1
1
32
2
0
0
0
8
0
0
0
0
0
8
8
8
8
8
8
0
2
17
1
8
8
16
0
0
24
16
16
16
0
0
1
0
8
24
0
8
4
4
4
16
16
8
16
16
16
8
8
0
8
0
1
16
4
18
18
0
1
1
8
8
8
0
0
0
0
0
8
8
8
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
4
0
16
8
0
1
0
0
0
10
16
12
0
0
0
24
16
16
16
16
1
0
24
0
0
0
0
8
1
1
28
0
0
0
32
16
0
0
8
10
10
17
16
8
8
0
0
1
0
8
8
8
1
1
1
32
0
4
8
8
18
0
0
8
8
0
0
0
8
8
8
8
0
4
8
8
0
8
4
4
2
0
0
0
8
8
8
16
16
16
16
16
16
4
8
8
8
1
1
1
8
0
0
0
0
16
0
0
8
20
20
20
20
0
4
4
4
0
24
4
0
0
0
8
8
0
0
0
0
1
1
0
4
4
4
4
0
8
0
24
24
24
0
24
32
32
0
0
8
8
0
0
0
0
0
8
8
8
0
0
33
8
0
0
0
1
0
0
2
16
16
8
0
0
0
16
0
1
1
0
0
3
0
0
0
60
60
0
0
0
0
16
0
0
0
0
0
0
5
1
0
16
1
8
0
0
0
0
5
16
4
0
0
0
0
0
0
0
4
4
0
0
0
0
8
0
0
0
8
0
16
0
2
1
0
0
0
0
0
0
2
0
0
0
32
32
32
0
2
8
8
2
0
0
0
0
16
4
8
8
24
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
1
0
0
0
4
8
16
0
0
18
8
0
16
8
0
0
16
0
0
0
0
1
8
0
0
0
0
0
0
0
0
0
0
2
0
0
8
16
0
0
0
0
0
0
8
1
8
0
0
0
0
8
0
8
0
0
0
8
0
0
0
8
8
8
0
0
0
0
0
0
1
0
4
0
24
28
8
18
16
0
0
0
0
2
0
0
0
0
0
0
0
0
2
8
0
0
8
0
8
2
2
0
8
0
9
16
0
0
12
0
0
0
16
0
4
2
0
0
40
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
1
0
16
16
16
0
0
0
0
0
2
1
1
1
8
0
0
0
0
8
0
2
0
0
0
0
0
12
0
4
4
0
12
0
27
1
0
0
9
16
16
16
16
16
0
12
4
0
0
40
0
0
4
0
8
8
8
0
0
0
8
0
16
16
0
2
0
0
0
0
0
0
16
16
16
16
4
0
1
16
16
16
16
0
0
0
0
8
8
8
0
0
0
0
0
0
0
16
16
16
0
0
8
8
8
8
16
8
8
0
0
24
0
32
32
0
0
0
0
0
0
8
8
8
0
16
0
0
0
0
0
16
0
0
0
0
16
16
6
0
0
0
0
0
1
0
0
0
0
0
0
0
0
8
8
16
0
4
4
4
0
16
8
8
0
0
0
0
0
0
11
0
0
0
0
0
16
16
1
1
0
0
0
8
0
2
2
8
0
0
4
4
1
0
0
0
0
16
16
16
0
0
0
0
0
1
0
0
0
10
16
8
16
16
0
5
2
0
0
34
0
0
0
0
8
8
0
0
4
0
0
0
0
6
0
8
8
8
8
16
12
0
32
32
0
8
8
8
0
0
0
0
0
24
24
24
24
4
4
4
8
8
0
0
0
0
8
8
30
0
8
36
4
0
4
4
4
8
8
8
4
0
0
9
2
2
2
0
1
0
0
16
16
0
0
0
0
0
16
16
0
24
0
0
16
0
4
0
8
0
0
0
8
0
2
0
0
0
0
0
0
0
16
0
0
8
8
8
0
0
0
16
16
24
0
16
0
0
0
0
16
24
0
0
0
0
0
0
0
16
0
0
0
0
12
0
16
0
0
8
8
8
8
8
8
0
0
0
0
0
0
16
8
0
16
0
0
0
16
16
16
4
0
0
0
18
24
8
0
0
0
16
9
9
32
0
1
16
16
8
0
0
0
8
16
8
0
0
24
0
0
0
0
16
0
0
4
8
0
0
0
0
0
0
36
0
26
0
1
0
20
48
8
1
0
8
0
31
0
0
0
2
0
0
30
8
0
4
4
0
0
8
0
0
8
0
0
0
0
0
0
0
0
0
8
8
0
20
20
16
16
1
1
0
0
0
8
8
0
0
0
16
16
16
0
8
0
24
24
0
7
7
8
52
52
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
18
0
8
0
0
0
0
2
16
16
0
0
0
0
0
0
0
4
0
0
8
0
0
16
4
8
0
0
0
26
0
0
0
0
0
0
0
0
1
42
0
0
0
0
8
1
0
0
16
16
0
8
8
0
0
0
16
0
0
0
1
8
16
0
0
0
0
0
0
8
0
0
0
8
8
16
8
8
8
16
8
8
0
0
0
0
0
16
16
16
0
0
8
0
0
16
16
0
24
24
8
8
0
0
16
0
0
0
1
0
17
0
16
0
0
8
0
0
0
0
0
0
2
7
7
0
32
0
0
0
8
24
0
0
16
0
8
12
0
16
0
0
0
0
0
8
8
8
16
4
0
8
0
0
4
0
0
0
0
0
0
0
12
0
8
0
8
8
20
0
0
0
0
4
8
8
0
8
8
0
0
0
0
0
8
8
0
8
8
48
16
0
0
0
0
16
28
0
18
8
8
0
0
8
16
0
0
0
0
26
26
0
0
0
16
8
4
0
17
0
0
16
16
0
0
12
0
16
0
4
4
16
0
1
0
0
0
0
0
8
8
0
8
8
8
0
0
0
0
0
1
1
8
0
0
4
16
8
8
8
8
0
16
16
16
1
0
0
0
0
0
0
0
4
4
4
12
0
0
9
0
0
0
0
0
0
0
8
32
0
0
8
0
0
0
17
16
4
20
0
0
0
0
6
16
2
0
8
0
8
16
0
8
8
0
0
0
0
1
1
8
0
0
0
0
0
4
0
0
24
8
8
8
0
0
0
0
0
4
4
0
0
16
2
0
18
16
0
0
32
16
0
8
8
1
0
1
8
0
0
0
0
0
0
0
0
0
0
42
0
0
0
0
0
4
4
0
0
0
0
0
0
0
8
0
8
0
32
0
16
2
8
8
0
0
0
0
16
0
0
16
0
16
16
0
8
0
0
0
16
40
2
0
0
1
8
8
8
0
0
0
0
8
0
0
0
0
0
0
0
0
8
0
0
16
16
4
0
0
8
0
0
0
0
0
8
0
8
8
8
0
0
8
24
24
0
0
0
0
4
4
0
32
0
0
0
4
4
8
0
8
0
8
28
0
10
10
0
8
9
1
8
16
16
16
16
0
8
0
0
0
0
32
16
16
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
32
16
0
8
0
0
16
0
4
8
8
0
0
8
16
16
8
0
16
4
0
2
0
49
0
2
0
8
8
8
4
0
0
0
8
8
0
0
0
0
2
0
16
16
0
0
16
16
16
0
0
8
0
0
16
0
0
0
0
0
0
0
8
8
0
16
20
16
16
16
0
0
16
0
0
0
0
0
0
4
0
0
0
0
1
12
4
4
0
0
0
0
8
16
16
16
0
8
1
17
0
0
1
0
9
9
9
0
0
0
0
0
8
0
12
4
0
0
0
0
0
0
0
0
0
0
4
0
0
0
8
8
0
8
8
0
0
8
0
0
0
0
0
0
0
2
2
2
2
0
0
0
0
0
8
0
0
24
0
2
0
0
0
18
1
1
1
1
1
1
1
1
0
0
8
8
8
0
1
0
0
0
0
0
16
0
0
16
0
0
16
0
0
0
0
0
16
4
0
16
16
0
0
0
0
8
2
0
8
4
0
0
0
0
0
0
0
4
0
0
20
0
8
8
8
0
16
0
0
0
0
0
8
0
0
0
4
16
0
32
0
8
8
0
0
1
8
8
16
8
0
0
0
0
0
4
8
0
8
8
0
0
0
0
0
0
0
0
32
32
32
2
8
8
1
16
16
8
1
1
1
1
8
0
0
0
1
0
8
8
0
34
8
2
2
0
0
1
0
0
0
0
0
0
0
0
0
0
0
4
4
4
0
0
8
0
18
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
24
16
0
0
16
4
4
0
0
4
4
0
0
8
2
8
0
0
0
0
0
8
8
8
0
32
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
16
0
0
8
8
8
8
0
0
0
0
16
0
0
0
8
13
0
16
24
16
0
0
9
9
0
8
8
0
1
1
16
0
8
16
16
0
0
0
0
16
0
0
32
32
0
0
24
8
0
0
1
8
8
0
0
0
0
16
0
0
8
8
16
0
4
0
0
0
0
0
16
0
0
0
0
8
8
4
8
8
0
0
0
0
16
0
0
0
0
0
0
8
0
0
17
0
0
0
0
20
6
6
0
0
0
0
16
0
0
0
8
8
8
8
16
0
0
16
8
0
10
10
0
12
0
0
8
0
8
0
0
0
33
0
56
8
8
24
0
0
0
12
12
12
16
16
0
17
0
0
0
8
17
17
0
8
8
8
17
0
16
16
16
0
12
0
0
0
1
0
2
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
4
0
0
0
16
0
0
0
0
0
0
0
0
0
8
8
0
24
0
16
0
2
16
0
16
0
0
0
0
0
8
0
0
0
3
0
0
16
0
8
0
0
0
8
0
0
0
16
0
4
11
11
11
0
0
0
16
16
0
0
0
0
8
6
0
0
0
0
0
0
0
0
0
0
8
0
0
32
16
16
16
0
4
8
0
20
0
0
0
16
2
0
0
8
0
0
0
0
0
16
16
32
0
0
0
0
0
0
0
8
0
1
1
0
0
16
12
0
1
0
0
0
2
16
8
8
0
0
0
16
0
0
0
4
4
0
0
0
0
8
8
0
0
0
16
0
0
0
0
0
0
8
16
0
0
16
0
0
16
16
8
8
8
8
0
16
16
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
8
16
16
8
8
8
0
0
0
0
0
0
0
0
0
0
2
0
0
0
12
0
0
0
0
0
0
0
0
0
16
16
0
8
0
8
0
0
9
0
16
0
0
0
0
16
0
16
16
0
0
0
0
0
24
0
0
0
24
24
16
0
24
20
20
20
0
16
8
1
0
0
8
8
0
17
2
2
24
0
0
1
1
16
0
8
0
0
0
4
8
0
8
16
16
2
0
2
8
0
6
0
8
8
16
28
16
16
16
8
20
16
0
0
16
0
6
6
0
4
0
0
8
8
0
16
16
0
0
0
20
20
0
0
8
8
0
0
0
8
8
8
0
0
0
0
8
8
8
8
0
0
8
0
2
2
0
0
16
0
3
3
0
27
0
0
0
49
0
4
4
0
8
8
0
24
26
16
18
0
0
0
16
8
0
16
0
8
0
0
8
0
4
8
0
0
1
0
18
18
18
0
0
8
8
0
0
0
8
8
16
0
0
0
0
0
16
0
0
16
0
16
16
16
0
0
0
8
0
0
0
8
4
4
4
4
4
8
8
8
0
4
0
2
2
2
0
0
0
1
16
16
16
0
0
4
4
0
0
0
0
0
16
8
8
8
8
0
0
40
40
0
0
8
8
2
2
9
0
0
0
0
1
1
8
0
0
2
0
0
2
4
0
16
16
0
17
2
8
8
8
0
0
0
0
0
8
8
0
16
16
16
16
16
6
0
1
1
0
0
8
0
4
16
8
8
0
0
0
8
0
0
0
0
0
8
31
0
0
32
4
4
1
8
8
8
8
8
16
16
8
8
0
0
0
16
1
1
1
0
0
2
0
0
0
16
8
0
33
0
8
0
0
0
0
0
1
0
8
0
0
2
2
0
0
24
0
1
1
1
1
0
24
0
0
24
0
8
8
8
0
16
0
16
0
0
8
0
0
0
0
0
8
0
8
0
28
18
0
0
0
4
36
8
8
4
4
24
4
4
4
0
8
0
0
1
1
0
8
1
16
16
0
16
7
7
16
0
8
8
8
8
0
0
0
0
0
0
0
0
0
8
8
8
8
0
0
8
8
0
0
0
0
0
16
16
0
8
1
1
1
1
0
8
8
0
0
0
0
2
0
0
0
0
0
8
8
2
0
0
0
16
2
2
1
33
8
41
0
0
8
5
0
0
34
40
18
0
0
8
25
0
0
0
0
0
0
0
0
17
0
1
8
8
17
17
0
0
0
0
0
0
0
0
8
0
0
0
0
8
0
2
0
0
0
8
0
1
17
8
0
1
1
1
16
16
20
2
2
2
2
2
16
16
0
8
16
8
0
0
0
0
16
25
0
0
0
0
0
0
0
0
0
0
8
0
0
4
4
0
0
16
8
8
0
16
0
0
8
8
0
0
8
8
4
4
0
16
16
16
16
4
4
2
0
16
0
0
0
0
8
1
0
0
24
4
4
0
0
0
0
0
40
8
2
1
4
4
4
0
16
0
0
0
8
8
0
0
0
16
0
2
2
0
8
8
2
0
0
8
0
16
0
16
2
2
2
16
0
0
0
18
2
8
0
16
0
3
24
0
24
8
0
0
16
0
4
0
0
0
8
56
56
56
0
0
16
8
0
0
0
0
8
0
8
24
24
33
0
0
16
0
0
0
0
8
0
0
24
0
0
0
0
32
32
8
0
0
0
6
0
0
0
0
0
8
8
8
16
16
8
8
4
4
4
8
0
16
16
0
8
0
0
8
8
4
0
0
0
0
0
4
0
0
0
0
0
25
0
0
17
61
61
4
2
8
4
16
0
2
2
0
8
16
16
1
8
0
4
4
4
4
4
8
0
0
1
1
20
0
1
0
0
0
0
0
0
8
2
17
0
1
1
0
0
0
0
0
0
0
0
20
8
32
0
16
16
8
16
16
8
0
0
0
1
0
0
0
0
0
0
8
0
0
0
0
0
0
0
4
4
16
0
8
8
32
1
8
0
0
0
16
24
0
6
8
8
8
8
8
8
8
16
8
1
0
0
16
1
1
0
0
16
8
56
8
8
0
0
0
0
2
17
16
4
16
4
8
0
0
0
0
8
8
8
8
0
8
8
0
0
0
16
0
0
10
0
0
6
0
8
0
0
16
8
8
0
0
0
8
8
0
0
0
0
0
40
16
16
8
16
16
8
8
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
8
8
0
0
0
8
8
0
8
8
1
24
24
24
0
0
0
0
1
0
0
0
16
9
16
0
16
16
8
0
18
16
0
16
16
0
8
4
8
1
0
0
8
3
0
4
0
0
4
4
0
0
16
2
2
1
8
8
0
4
0
0
16
0
0
0
0
24
16
5
0
0
0
0
0
0
0
0
8
2
16
8
0
4
0
16
16
0
2
8
8
8
0
0
1
0
0
0
2
0
0
0
4
4
18
8
8
0
0
0
0
16
16
4
21
21
21
21
0
0
0
16
0
8
16
16
16
16
16
0
0
0
0
0
0
8
0
0
8
0
8
8
8
0
0
24
0
4
8
32
32
24
0
8
8
0
0
8
8
0
18
1
0
16
16
0
8
8
0
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
24
0
4
0
38
0
8
8
8
0
4
4
0
8
0
0
1
0
8
0
0
0
0
0
0
16
16
16
0
8
17
1
0
0
0
0
8
0
0
12
12
9
0
0
0
0
0
0
0
16
16
1
1
36
0
0
0
0
0
24
0
0
0
4
4
16
0
0
0
8
8
16
0
0
8
0
0
0
0
16
8
8
8
0
42
8
0
0
0
18
0
8
8
16
16
0
0
0
1
0
0
8
1
1
8
0
16
0
0
2
13
8
8
8
0
0
0
0
0
0
0
8
8
0
0
0
2
1
4
2
0
0
0
0
8
8
0
8
0
8
16
0
16
0
0
16
0
8
0
16
16
0
8
0
8
16
0
0
16
2
2
4
8
0
0
0
16
16
16
0
0
0
0
16
0
4
18
0
0
8
8
8
8
4
0
60
60
60
2
2
2
2
0
0
0
0
0
0
4
0
0
2
2
20
20
20
0
0
0
0
8
0
0
0
0
0
0
0
8
8
4
33
24
20
4
0
1
8
2
24
0
8
8
40
24
8
40
8
0
8
24
24
0
0
0
0
32
8
33
33
0
0
8
0
0
8
0
8
16
0
0
0
8
0
0
8
0
0
24
16
0
1
16
0
8
8
8
0
0
2
2
0
0
0
8
8
8
8
8
8
0
8
8
0
0
0
8
8
0
1
4
16
0
0
8
4
0
0
0
0
16
16
20
0
1
1
17
17
17
8
8
8
8
0
0
8
16
18
0
28
0
16
4
32
0
0
0
8
0
0
1
1
4
8
8
8
0
16
8
8
16
16
16
16
0
0
0
0
0
0
0
0
0
8
0
1
16
24
24
16
16
16
0
8
0
0
0
0
8
8
26
16
0
8
24
0
4
4
4
16
8
8
8
8
8
8
1
0
0
2
8
32
0
0
0
0
0
0
18
8
0
0
0
1
0
0
0
0
16
0
28
0
13
16
0
0
0
2
2
2
8
4
0
5
0
0
0
8
24
8
8
16
1
0
0
0
0
40
16
16
1
1
4
4
16
0
1
0
8
0
8
0
0
24
0
8
9
9
12
0
0
1
1
8
8
0
36
36
0
0
8
8
0
0
4
24
0
3
4
8
0
0
0
0
12
12
12
5
5
8
8
1
0
8
0
0
0
0
0
16
0
0
0
0
0
16
8
0
11
0
0
0
32
32
32
4
24
4
4
0
0
16
0
8
16
16
0
0
8
0
0
0
16
2
2
2
0
8
8
8
0
0
12
12
8
0
0
0
8
1
1
8
32
4
8
0
2
8
8
0
0
0
2
2
20
0
8
0
16
8
8
0
0
0
0
0
0
0
0
1
1
0
0
0
0
12
4
0
0
0
0
0
0
8
9
17
8
16
16
16
16
0
0
0
4
4
32
0
0
0
0
0
62
0
0
2
8
0
0
0
0
16
0
0
10
0
0
8
0
0
16
0
0
0
0
0
2
0
0
2
0
4
5
0
0
0
32
8
8
8
34
2
0
0
0
0
0
0
0
0
0
0
0
16
0
8
8
1
2
0
0
0
0
0
0
0
0
0
0
0
16
16
8
3
3
0
24
24
0
8
0
0
8
0
16
16
0
16
0
0
32
1
16
0
0
0
0
10
10
10
0
0
0
0
0
0
24
8
0
1
0
0
0
0
16
8
0
4
2
2
2
8
16
0
8
8
8
8
8
0
8
8
8
0
8
2
2
24
8
0
0
16
16
0
0
8
8
4
0
0
0
8
8
16
16
8
4
4
0
0
4
4
4
0
0
0
0
16
4
0
0
8
8
8
8
4
4
4
4
0
0
0
8
0
0
0
0
0
12
8
4
1
8
8
8
40
40
8
0
0
2
1
0
8
8
0
24
1
16
0
8
0
26
26
0
0
16
16
8
0
0
16
16
24
8
8
0
1
0
0
8
8
0
24
8
0
0
16
16
4
0
0
0
0
16
0
0
0
8
8
16
8
0
0
0
16
16
16
8
8
16
0
9
9
0
0
0
0
0
4
0
4
0
0
0
1
16
0
8
8
2
24
24
0
0
0
0
4
0
16
16
0
2
0
0
0
0
0
1
0
0
8
8
8
24
0
0
0
0
0
8
48
49
4
12
16
0
8
16
0
16
4
24
24
16
8
0
4
4
16
16
16
16
0
8
8
0
1
16
8
8
4
4
4
8
8
25
25
0
0
0
0
8
8
8
8
0
0
8
0
0
0
8
8
8
32
36
36
16
16
16
0
4
16
0
0
0
8
0
0
8
16
0
18
0
8
8
8
8
8
8
0
0
0
0
0
0
8
8
8
0
0
8
0
0
0
0
8
8
16
16
2
2
2
2
0
0
4
4
0
0
0
0
0
16
0
0
16
1
4
4
4
4
9
0
0
0
0
0
0
16
16
0
0
0
0
0
8
8
8
8
8
0
8
8
4
8
8
4
8
16
32
16
0
0
0
0
0
8
0
0
0
0
16
8
8
0
0
0
0
0
0
16
16
4
4
4
4
13
16
0
1
16
8
0
0
8
0
8
4
6
0
22
0
0
0
0
0
0
8
0
2
0
8
8
12
0
0
8
0
8
0
0
0
0
0
16
1
1
0
8
8
0
0
0
0
0
0
1
0
1
8
0
0
0
12
0
0
8
0
16
16
0
8
16
8
8
8
8
0
0
0
0
2
1
16
16
0
0
1
16
0
16
8
32
32
8
0
8
16
0
16
16
0
5
5
5
0
0
1
0
0
16
16
8
0
0
0
0
0
8
1
8
0
0
24
4
4
8
8
0
8
0
0
1
16
16
8
0
0
16
8
0
0
0
0
16
0
0
4
8
0
4
0
9
0
0
16
0
12
4
0
0
0
0
8
16
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
8
0
0
0
16
16
0
0
0
8
0
0
0
0
12
0
0
24
16
0
0
0
0
0
0
0
0
0
2
2
0
0
0
8
0
0
0
0
8
8
8
0
16
16
0
0
0
0
0
0
0
0
0
0
0
6
6
4
8
0
0
0
0
8
0
0
8
0
0
0
0
24
24
0
0
8
0
8
0
0
0
0
0
8
8
8
0
0
0
30
0
0
8
0
0
8
8
28
16
0
0
4
0
0
0
0
0
16
0
0
0
0
0
2
0
0
0
0
0
8
8
8
0
1
0
0
0
0
0
20
8
0
0
4
8
0
0
0
0
0
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
8
4
0
0
0
0
0
0
16
16
16
0
0
4
4
0
0
0
0
0
0
0
0
0
24
24
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
0
24
0
0
2
0
8
8
0
0
0
0
0
0
0
0
0
16
17
0
1
8
0
0
0
8
0
0
0
0
8
8
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
4
16
16
4
0
4
4
0
0
4
0
0
48
0
4
0
0
0
0
0
16
0
0
0
0
0
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
4
2
2
8
8
0
0
0
16
8
21
16
0
0
9
0
16
0
4
0
0
0
2
16
16
16
0
0
2
0
0
0
2
0
0
8
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
16
0
0
0
8
0
0
0
0
0
0
1
1
1
8
0
0
0
4
0
8
0
0
0
0
0
0
0
0
0
0
0
8
0
1
1
0
0
32
32
0
0
0
0
0
2
2
0
0
0
8
8
0
16
16
16
0
0
0
0
0
0
0
60
60
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
4
4
4
4
4
4
4
4
4
4
4
4
4
0
0
0
0
0
0
0
0
12
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
17
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
8
0
0
0
0
16
0
16
16
0
0
0
0
8
2
0
0
0
8
0
0
0
0
0
0
22
4
0
4
4
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
4
0
0
0
0
0
16
16
16
0
0
0
0
0
0
0
0
0
8
8
8
24
24
16
16
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
2
0
16
8
0
0
0
4
8
0
4
0
58
0
0
0
4
0
0
0
0
8
0
0
0
0
0
0
0
0
0
4
0
0
16
8
8
8
0
0
0
0
20
2
8
16
0
0
16
16
0
0
0
0
0
0
0
0
0
0
16
0
20
0
0
4
0
0
0
8
8
8
32
0
4
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
4
4
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
20
0
0
0
16
4
4
0
0
4
4
4
0
0
0
0
0
0
0
10
10
4
0
8
8
0
0
0
0
0
4
4
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
8
0
0
0
0
0
8
0
0
16
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
8
8
8
1
24
24
0
0
0
0
0
0
0
0
0
0
16
8
8
4
4
0
0
0
0
4
0
0
0
0
0
8
0
0
0
0
0
24
24
0
0
0
0
0
8
0
0
8
8
1
0
8
4
16
8
0
8
0
0
0
0
0
0
20
0
0
0
0
0
0
0
8
0
0
0
4
4
0
0
0
20
0
0
0
0
0
16
0
0
1
0
0
0
0
0
32
0
0
16
0
4
0
0
0
0
16
16
16
32
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
12
2
8
8
56
2
0
0
0
0
0
0
0
0
0
17
0
0
16
0
8
4
4
0
0
0
8
0
0
0
9
9
4
0
0
0
0
0
12
0
0
0
0
0
0
16
16
16
0
0
8
0
0
0
0
0
0
2
0
8
8
8
8
0
0
0
0
8
8
16
16
28
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
1
0
0
0
0
8
0
0
0
0
0
2
0
0
0
0
4
0
2
24
0
0
0
8
8
0
1
1
1
0
0
46
16
0
0
18
18
0
0
8
1
0
0
4
16
16
60
4
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
16
16
16
16
0
0
0
0
0
0
0
2
0
0
0
0
0
0
8
8
34
34
34
0
57
0
0
0
1
1
1
1
1
0
0
0
2
2
16
0
0
0
0
0
0
8
16
16
0
0
0
0
0
0
0
0
0
0
0
0
16
0
24
24
0
0
0
0
0
0
8
1
0
0
0
0
0
0
0
0
2
0
2
0
0
0
0
0
16
0
0
0
0
0
0
0
2
0
0
0
0
16
0
0
0
0
0
16
0
0
0
8
8
8
4
16
0
0
32
0
0
46
46
46
0
0
8
0
0
0
0
0
4
4
0
4
16
16
16
0
0
0
0
0
0
26
0
0
0
4
16
1
0
0
0
0
0
0
9
9
0
8
8
1
0
6
0
0
0
0
0
0
0
0
0
8
0
0
0
0
8
16
16
8
20
0
0
0
0
0
0
0
0
1
1
0
8
0
16
0
0
0
8
8
8
0
0
0
0
8
16
16
0
0
0
0
16
0
0
0
0
21
21
21
0
0
0
0
0
0
0
0
0
0
1
2
2
2
0
8
0
4
0
0
0
0
0
0
8
8
0
1
1
0
0
0
24
0
0
17
17
0
0
0
0
0
0
0
0
40
0
0
0
0
12
0
0
0
0
1
8
0
0
0
0
0
0
0
8
0
0
0
0
0
4
16
16
0
0
8
0
24
24
12
0
8
8
0
0
0
0
0
0
0
0
0
0
8
0
0
0
4
0
8
8
0
8
0
0
0
0
0
0
0
0
0
8
8
16
16
0
0
0
0
0
0
0
0
0
0
16
16
16
0
16
16
0
0
0
0
8
8
0
0
2
0
0
0
5
0
0
0
0
16
16
12
8
8
16
0
0
16
0
0
0
0
0
8
0
0
0
0
0
20
1
8
0
0
0
8
0
4
4
0
0
8
0
0
0
0
0
0
0
0
0
0
16
16
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
8
8
0
16
0
0
16
0
16
0
4
0
2
2
2
0
0
0
16
16
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
12
0
16
0
0
8
8
16
0
0
0
0
8
8
0
0
0
0
0
8
8
1
1
0
0
0
0
0
0
0
0
0
0
0
8
0
8
8
16
1
16
16
16
16
0
0
0
0
8
8
0
0
0
16
8
8
0
10
0
0
0
8
16
16
0
2
2
0
0
0
0
0
0
0
0
8
8
0
0
16
16
16
8
8
8
8
8
0
4
4
0
0
8
0
1
2
2
0
0
16
0
0
1
8
0
16
0
16
0
0
0
16
0
0
8
0
24
24
0
0
0
0
8
8
8
0
0
0
1
0
16
9
0
0
0
0
16
0
0
1
0
8
8
8
0
0
0
0
0
0
8
0
0
0
0
16
0
0
0
0
8
8
0
0
0
10
10
0
0
4
0
0
0
1
1
1
0
0
0
0
0
0
16
25
0
0
0
0
0
8
4
1
1
1
0
0
0
0
0
0
5
20
24
4
0
0
0
0
8
0
0
0
0
0
0
16
0
0
0
16
0
0
0
18
0
0
0
0
0
0
0
0
0
1
8
8
4
0
0
8
0
16
16
0
0
12
12
8
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
12
21
0
0
0
12
16
0
8
0
25
25
25
0
8
8
0
0
0
16
0
0
0
0
0
0
0
8
8
8
0
0
16
0
0
48
2
2
2
0
0
8
0
0
0
0
0
0
0
16
0
16
16
16
0
8
0
0
16
4
4
0
1
0
0
0
0
0
1
0
0
0
16
24
16
16
0
0
0
0
8
0
0
0
0
0
0
8
0
16
0
0
2
34
34
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
28
32
0
0
0
0
2
2
0
0
0
0
0
0
8
0
16
0
0
0
0
2
12
2
0
0
0
0
0
8
2
10
10
0
0
2
0
0
0
6
6
0
0
0
1
0
0
0
0
9
0
0
0
0
0
0
0
8
8
0
2
0
16
0
0
8
0
0
0
0
2
2
16
8
0
2
13
0
0
0
0
0
8
21
0
4
8
8
8
1
0
0
0
16
0
0
0
0
0
0
0
0
0
0
2
0
2
0
0
0
0
8
8
0
0
0
16
0
0
0
8
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
8
16
0
0
0
0
0
0
0
1
1
32
52
0
5
16
0
0
0
0
0
0
37
17
17
0
0
24
24
0
0
4
4
4
8
0
0
0
0
0
32
0
0
4
4
4
16
8
8
8
8
0
0
0
24
0
0
0
8
0
0
0
0
0
0
0
16
0
0
0
4
0
0
0
0
0
0
0
8
0
0
0
8
8
8
0
0
16
0
0
0
0
0
0
0
0
0
0
8
0
0
0
20
0
4
0
0
0
0
0
0
0
32
0
0
4
4
0
0
0
6
8
0
0
0
1
1
1
0
8
0
0
0
0
0
16
4
4
4
0
0
0
0
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
17
0
0
0
0
0
0
0
0
0
0
0
8
8
4
20
0
0
0
0
17
0
0
0
0
0
16
6
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
6
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
8
0
0
1
8
0
18
0
0
0
6
6
0
8
0
0
16
16
2
2
42
42
0
0
20
0
0
0
0
0
0
0
0
0
0
0
0
0
0
32
32
3
0
20
0
16
0
0
4
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
2
1
1
8
0
20
0
8
0
0
0
0
0
0
0
1
0
24
24
24
24
24
0
0
16
16
0
16
16
0
0
0
5
0
0
0
8
8
0
0
0
0
16
0
0
16
1
0
0
16
0
0
0
0
20
16
16
0
0
2
8
8
0
0
8
8
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
8
0
0
0
0
8
0
0
29
8
0
0
0
0
0
0
0
0
16
16
0
0
0
8
0
0
0
4
8
0
0
0
0
1
0
0
0
8
0
16
16
18
0
0
0
0
0
8
8
0
0
16
16
0
0
0
0
0
20
0
0
0
0
10
8
8
0
0
0
0
0
0
0
0
16
0
2
2
0
0
4
4
0
0
0
0
0
0
24
0
0
0
0
0
0
0
0
0
0
0
8
2
0
32
32
24
0
0
0
16
0
0
0
0
8
2
0
0
0
0
0
8
8
16
16
16
0
0
0
0
8
8
8
8
0
0
0
0
0
0
4
0
0
0
8
0
0
0
0
8
0
21
16
8
0
4
4
0
0
0
0
0
0
0
0
9
0
0
8
0
0
0
0
0
0
0
20
8
24
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
16
0
1
1
0
2
0
0
0
32
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
16
16
32
32
0
4
0
16
0
0
0
0
0
0
0
16
16
0
8
0
0
0
0
28
28
28
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
2
2
16
0
0
0
0
0
4
4
0
0
0
0
0
8
8
20
0
16
8
0
0
0
16
0
0
0
8
0
0
24
0
0
8
0
8
0
0
8
0
16
0
0
0
0
0
0
0
0
0
0
4
16
0
16
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
16
16
2
2
0
4
16
0
0
0
0
8
18
16
16
0
16
16
16
8
8
8
0
8
0
0
0
0
24
0
16
0
0
0
4
4
0
16
16
0
8
24
16
0
4
0
0
0
1
1
16
0
0
0
0
0
0
28
28
28
3
18
0
16
8
8
0
16
0
0
0
0
0
0
26
1
1
0
2
8
2
0
8
0
0
0
1
1
8
2
8
0
16
16
0
0
2
22
22
16
16
8
8
0
8
8
0
0
0
0
0
0
26
0
0
0
0
8
0
0
0
0
2
4
0
8
0
0
0
8
16
0
0
8
16
8
0
2
2
0
8
1
8
8
8
0
0
0
0
1
16
0
30
0
0
0
8
8
8
4
8
8
0
8
8
0
8
0
0
0
0
0
24
24
32
0
16
0
0
0
0
0
0
1
1
0
16
0
0
12
0
2
2
0
0
0
24
16
0
8
0
0
0
1
8
1
1
1
0
0
0
16
0
0
0
8
8
24
4
28
0
0
0
0
0
0
17
8
0
2
4
4
0
0
0
20
0
0
0
0
0
0
0
0
0
0
8
8
0
0
8
0
0
0
20
16
0
0
0
4
8
0
8
0
0
4
0
0
8
0
16
16
16
4
4
4
8
16
0
0
2
8
16
0
0
8
16
0
16
0
0
0
17
4
1
1
0
0
8
8
8
8
0
0
0
0
8
8
0
2
2
1
0
16
8
8
1
3
16
16
0
0
0
24
8
0
0
0
0
0
8
0
9
0
8
8
0
0
0
4
24
24
24
0
0
1
0
8
0
0
0
8
0
0
16
16
4
0
0
8
24
8
0
4
4
2
2
0
0
0
8
0
0
0
8
4
4
4
4
4
4
8
0
0
0
0
8
32
32
32
32
0
0
16
0
0
0
16
2
2
0
0
0
16
0
0
4
16
16
16
16
16
16
16
16
16
2
16
1
18
16
24
8
0
16
0
0
4
0
0
0
8
8
8
0
16
0
0
4
0
0
0
0
0
0
1
16
16
2
0
0
1
32
0
2
0
0
16
1
1
16
0
0
0
8
8
0
0
8
0
0
8
8
0
0
40
40
3
0
9
10
0
0
0
0
0
0
0
8
8
0
2
0
0
0
0
0
4
4
4
1
16
16
16
8
16
0
0
0
0
8
2
0
0
8
8
8
8
8
0
0
8
0
0
0
8
17
0
12
8
8
24
24
0
0
0
4
0
0
0
0
0
0
8
11
0
0
0
0
0
0
0
27
0
0
0
0
0
0
16
0
0
0
8
0
16
16
0
25
2
40
32
16
0
16
0
0
0
0
19
0
24
24
24
24
24
8
8
0
0
8
4
0
0
0
8
8
16
1
1
0
0
4
24
8
0
0
0
0
18
18
8
0
0
17
17
8
0
2
2
1
8
0
0
4
8
21
0
1
8
8
8
8
8
8
16
8
8
8
8
0
4
4
0
8
0
0
0
8
0
8
0
1
0
8
0
0
32
32
32
16
16
0
8
4
4
16
0
0
0
0
0
0
8
0
8
0
4
0
0
16
4
4
16
0
0
16
4
8
0
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
24
0
0
0
0
0
8
0
0
0
8
0
0
0
0
0
2
6
0
0
0
0
0
0
24
24
0
0
8
8
8
1
8
8
0
0
0
0
8
8
8
0
0
0
8
16
0
0
0
0
2
0
0
4
0
0
0
16
0
0
8
0
0
0
0
8
8
8
12
8
0
0
8
8
0
1
0
8
16
16
25
8
4
0
0
0
0
0
0
0
0
0
16
16
16
0
4
8
0
8
16
0
4
4
8
8
1
0
0
16
0
0
0
16
0
0
0
8
0
8
8
16
8
8
0
0
16
8
8
8
8
1
16
16
0
2
2
2
8
0
0
0
48
0
16
1
1
1
8
8
0
0
8
8
8
8
8
8
8
0
0
4
0
0
16
0
0
20
4
16
2
0
8
0
0
0
40
0
0
16
0
0
0
0
0
8
8
16
8
8
8
0
0
4
0
34
0
0
8
2
0
0
0
1
1
0
17
16
0
0
2
8
0
0
0
32
0
0
8
8
8
0
0
0
12
0
0
16
8
16
4
18
18
0
4
24
18
44
44
44
1
16
0
0
0
8
0
0
0
0
8
8
0
0
0
0
8
0
0
10
10
0
0
0
0
20
8
2
4
4
8
8
8
8
0
0
0
0
0
4
0
13
0
0
0
8
8
0
4
4
16
8
8
0
0
16
0
0
0
16
0
0
1
1
1
0
0
8
12
25
25
8
0
16
16
0
0
1
0
1
8
32
32
16
16
2
0
0
8
8
9
9
1
1
1
8
2
2
0
4
0
0
24
0
16
16
8
8
8
48
48
0
0
0
8
4
8
0
0
0
8
8
0
4
0
0
0
16
0
24
0
0
16
4
0
0
0
0
0
0
8
0
0
0
4
4
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
16
8
0
8
8
8
0
0
0
3
3
0
0
24
0
0
0
0
4
4
0
16
0
0
0
0
0
0
0
0
8
0
1
1
0
0
0
2
2
8
13
13
13
1
1
0
0
32
0
0
8
0
0
0
18
0
0
4
4
4
0
0
0
0
8
0
0
4
4
4
4
24
8
8
0
17
16
16
8
32
0
0
0
20
0
2
8
2
0
0
8
4
16
8
8
0
2
2
56
4
8
0
8
2
4
0
0
2
8
0
0
0
0
2
0
0
0
0
8
8
8
0
8
0
0
0
0
2
0
1
0
8
16
16
0
0
0
8
8
8
8
0
0
0
0
0
0
0
0
2
2
0
16
16
8
0
32
0
3
8
8
8
0
0
16
16
0
0
0
1
16
0
0
0
0
0
0
0
0
8
8
1
8
16
16
16
8
10
10
16
16
16
16
2
0
0
0
0
1
0
16
0
0
16
16
8
8
8
0
0
32
0
1
0
0
0
0
0
8
8
8
0
16
0
0
0
8
16
4
4
4
8
8
8
0
8
8
0
0
0
0
0
24
16
2
0
0
0
0
0
24
0
0
0
8
8
8
0
0
0
0
0
0
4
4
4
0
0
8
8
0
16
16
16
0
0
17
8
8
0
0
0
0
0
0
8
8
8
0
0
0
0
16
0
8
8
16
16
16
0
0
4
4
4
2
4
4
4
0
20
0
0
2
25
25
0
0
0
2
2
0
0
4
0
1
10
8
8
16
16
16
16
16
8
4
4
0
0
0
0
0
0
1
8
0
0
0
18
18
8
0
0
0
0
0
0
24
16
16
0
0
0
0
8
8
8
8
0
0
16
16
16
16
8
8
1
0
0
0
0
8
8
8
0
8
16
16
16
8
8
2
0
0
0
0
16
0
0
0
0
0
0
0
0
16
18
2
0
0
8
8
0
4
20
0
8
8
8
0
0
0
0
8
4
4
4
1
3
2
0
4
0
0
8
8
4
1
16
25
17
8
8
8
8
26
8
0
8
8
12
4
4
4
0
0
0
0
8
8
8
8
17
17
16
0
0
0
0
8
0
0
0
0
0
8
8
8
0
16
16
0
0
24
4
2
2
2
2
8
0
0
6
0
0
8
32
0
16
0
0
8
8
8
8
4
4
20
1
1
1
1
0
0
0
0
0
0
0
0
0
8
0
2
2
0
0
0
0
0
8
8
8
0
0
16
20
4
4
0
0
4
0
0
0
0
0
0
16
0
0
8
12
0
8
0
8
0
0
0
24
0
0
0
0
0
0
16
6
0
16
0
0
0
0
16
24
24
0
0
0
0
0
0
0
16
4
5
5
5
5
0
0
0
0
0
0
0
0
8
8
8
0
8
8
1
1
0
0
0
0
0
8
0
0
56
0
0
8
8
20
0
0
8
16
8
0
0
0
18
0
8
0
0
0
0
8
8
8
8
8
0
24
24
24
0
0
0
8
8
0
0
16
16
0
2
4
8
8
0
0
0
0
4
16
16
0
0
0
16
8
10
10
0
0
0
2
16
8
8
8
0
0
8
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
33
0
0
0
8
16
16
2
16
0
0
1
8
0
2
2
2
0
0
0
24
0
0
0
0
0
0
0
0
8
0
8
0
0
0
8
8
0
0
8
20
20
20
0
0
0
0
8
4
40
4
0
0
0
0
0
8
16
0
0
8
0
0
2
0
0
1
1
0
0
4
4
0
0
0
0
0
0
8
8
8
8
4
4
16
0
8
16
12
4
8
2
0
8
8
0
4
0
16
0
0
0
0
4
0
1
16
8
16
16
0
8
8
16
16
20
2
0
0
0
0
0
0
22
0
0
25
25
25
0
0
16
16
16
0
0
8
0
0
0
24
0
1
0
0
0
0
0
0
0
8
4
16
1
0
0
0
0
0
0
0
0
8
8
16
8
0
0
0
0
1
0
0
2
2
0
8
0
16
16
0
18
0
16
8
0
16
16
0
8
18
18
1
0
0
8
4
8
8
8
8
0
8
16
0
0
0
16
0
0
4
28
16
16
0
0
8
8
4
16
4
8
8
8
0
6
2
0
16
0
8
8
0
0
0
0
0
8
8
8
8
8
0
0
0
0
0
0
0
8
4
16
1
1
1
0
0
0
0
5
5
5
8
8
0
8
8
24
0
16
0
4
4
16
0
8
8
0
0
16
24
4
0
0
4
0
0
0
0
0
0
0
6
20
0
12
0
0
8
8
8
8
0
20
8
4
24
8
1
1
8
8
0
0
8
8
0
8
0
0
0
0
16
16
0
4
0
8
8
0
40
40
40
0
8
8
8
24
24
24
24
24
24
24
24
0
8
8
0
0
24
8
8
0
0
0
2
0
0
25
16
0
0
8
0
0
8
16
8
0
2
2
0
16
0
8
0
0
0
0
0
4
8
8
8
8
8
8
8
0
0
0
0
1
16
2
0
28
8
0
16
16
0
2
8
4
0
0
0
12
0
0
0
0
0
0
4
0
1
2
2
8
0
0
0
0
8
0
0
0
0
0
16
8
0
0
8
0
0
4
8
4
8
16
16
16
16
16
16
16
0
9
0
10
8
8
8
8
8
33
18
0
8
27
0
0
0
0
0
0
4
0
38
1
0
0
0
0
8
8
0
2
4
0
0
0
0
8
0
0
16
0
8
8
24
8
8
8
0
0
0
8
0
8
8
0
0
0
8
0
0
0
0
8
8
16
18
4
8
8
0
0
32
2
8
8
8
0
16
0
8
2
1
1
1
1
0
8
16
0
0
0
0
58
0
8
8
2
8
0
0
1
1
16
8
8
8
16
0
32
8
8
0
0
0
0
16
0
8
8
0
0
0
8
8
8
8
0
0
0
1
1
0
8
16
17
16
0
16
0
8
0
0
0
0
0
0
8
0
16
0
0
0
0
0
0
0
16
0
1
20
20
0
8
8
0
8
4
4
4
12
16
8
0
16
8
0
0
0
0
16
20
0
0
16
0
28
16
0
0
0
0
0
8
0
0
0
0
0
32
16
0
0
0
0
0
0
0
0
0
0
0
0
8
8
16
16
16
16
4
0
0
0
0
8
0
0
0
0
0
0
0
0
0
4
8
0
0
0
8
0
0
0
0
0
16
16
16
16
16
0
0
0
0
0
0
8
0
17
0
0
2
2
0
0
0
0
8
0
0
0
8
0
0
0
0
0
10
0
0
0
0
0
0
0
0
0
32
32
16
0
0
0
3
3
8
16
8
0
0
16
16
16
16
12
0
0
0
0
0
36
8
0
0
0
0
0
0
0
0
20
4
0
0
8
2
0
0
16
8
8
8
6
16
1
20
16
0
0
0
0
0
0
8
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
8
8
1
0
16
16
0
8
8
0
4
8
24
1
0
0
8
0
0
16
0
0
0
0
8
8
8
8
2
12
32
8
8
8
8
0
0
4
8
8
4
0
0
0
4
4
4
4
4
4
0
0
9
9
0
0
1
2
24
4
0
0
0
8
8
14
14
0
0
2
0
0
0
0
0
0
8
2
1
0
0
0
16
0
0
0
2
2
8
18
0
0
0
0
0
4
4
0
8
0
32
0
0
0
0
0
0
56
56
56
0
0
8
8
0
42
16
2
0
4
0
0
8
0
40
8
8
0
0
0
0
8
1
8
0
4
16
16
0
0
0
8
8
16
0
0
0
1
32
2
2
8
0
4
8
0
16
0
0
16
0
0
16
0
0
0
0
0
0
0
0
0
0
2
0
1
1
0
0
0
0
0
0
9
0
18
0
16
0
8
8
8
8
0
0
0
1
0
16
0
8
4
0
1
2
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
4
0
0
0
0
8
0
0
0
0
0
0
0
0
0
8
0
0
0
22
57
2
2
1
0
0
0
0
0
0
4
0
8
0
0
16
16
16
1
1
1
4
0
0
4
8
0
0
0
16
0
0
0
0
0
0
9
8
0
16
4
0
0
0
0
0
0
24
0
0
24
0
0
0
0
16
0
0
0
1
0
8
0
0
18
18
32
32
0
24
16
0
0
8
4
6
0
0
8
0
0
36
0
20
20
20
0
0
0
0
0
0
8
24
2
2
2
0
0
4
0
12
0
16
8
8
0
0
0
2
0
0
0
20
20
0
0
0
29
0
8
8
8
8
0
8
0
0
0
0
0
0
0
8
0
0
2
8
0
8
8
0
0
4
0
0
0
32
0
0
0
8
4
4
0
0
0
0
0
0
0
0
0
8
16
4
0
8
8
0
8
0
8
4
4
4
4
24
16
5
16
16
16
16
15
15
24
20
8
0
4
1
24
17
0
16
0
1
0
16
8
8
0
0
0
8
8
0
0
20
2
4
8
0
0
16
16
16
16
16
16
16
16
8
0
0
8
0
16
16
16
8
8
0
24
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
18
0
0
0
0
0
0
0
0
0
0
0
8
32
0
0
8
0
0
0
4
8
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
2
48
48
8
0
0
1
9
1
0
18
0
8
0
12
1
1
2
4
0
0
0
8
0
4
4
4
4
0
0
16
8
8
8
2
0
2
2
1
0
2
20
20
8
12
0
0
0
0
0
0
8
4
0
0
0
0
3
2
0
0
0
4
4
0
4
8
4
16
16
12
8
0
0
0
0
8
8
16
8
8
8
8
8
8
8
0
0
0
0
0
8
8
0
0
8
1
0
16
0
0
24
16
0
24
0
8
0
0
1
1
8
0
0
0
8
8
8
12
8
0
0
16
1
8
8
0
16
16
0
0
0
0
0
12
8
8
1
0
32
0
0
0
8
16
16
8
0
17
8
8
0
4
0
16
0
0
0
0
0
16
0
0
0
16
0
0
0
16
0
18
0
1
8
16
16
0
0
0
0
4
4
4
0
16
16
0
0
0
5
8
0
0
0
0
0
0
0
21
0
0
0
0
32
32
32
4
0
8
8
0
8
32
0
0
0
1
0
0
0
24
8
0
28
0
1
0
8
8
8
8
16
8
1
5
0
0
0
0
0
0
16
16
16
4
0
0
16
0
0
0
0
20
8
8
0
8
8
18
0
0
32
0
0
40
0
0
0
16
32
32
32
32
32
0
0
8
0
0
0
8
0
0
0
0
0
19
19
19
23
23
16
16
0
2
0
8
8
1
0
2
0
0
0
0
8
0
0
16
8
0
0
8
8
4
4
4
0
0
0
0
0
8
8
8
18
0
0
0
0
0
16
0
0
0
0
0
0
0
0
32
0
1
1
0
0
48
48
16
0
0
0
0
0
8
8
0
0
16
16
16
9
0
0
16
16
8
8
22
0
8
0
0
0
0
0
0
0
0
40
40
8
0
8
0
8
0
0
0
0
18
18
8
24
16
16
8
0
0
0
0
0
0
8
2
0
0
0
0
0
8
8
8
8
8
8
8
34
34
0
0
0
0
0
8
4
0
0
0
0
8
0
0
0
0
0
0
0
8
8
8
4
20
0
0
0
0
0
0
0
0
0
0
0
0
0
24
8
1
0
0
4
4
4
0
0
0
8
0
0
0
0
1
29
0
58
0
0
0
0
0
8
0
2
0
8
0
0
0
0
0
12
0
0
8
20
0
0
8
0
8
0
0
0
0
8
8
1
1
16
16
16
0
0
0
0
1
0
0
0
8
8
20
0
0
0
0
16
4
16
16
16
16
0
8
0
0
2
4
0
0
0
0
16
1
1
0
0
8
8
4
18
24
0
0
0
0
0
0
16
1
0
25
17
8
8
12
36
0
0
0
8
8
16
0
0
0
0
0
0
8
0
3
3
4
2
0
0
0
0
0
0
0
0
0
18
18
0
0
16
32
32
32
0
0
0
4
32
24
8
8
8
0
0
0
16
0
8
8
8
12
24
16
16
33
33
0
0
0
8
6
0
0
0
0
28
18
18
8
0
0
0
32
0
0
8
8
0
0
0
16
0
4
0
0
0
9
1
0
0
0
0
0
0
0
0
8
4
35
35
0
0
0
20
20
0
0
0
0
16
0
8
0
0
8
8
0
0
8
0
8
2
0
0
8
0
8
0
16
1
0
0
0
0
0
9
0
1
33
33
0
0
0
0
0
8
56
0
16
0
16
16
16
8
8
0
0
36
0
0
8
0
1
1
8
0
0
28
0
58
58
0
0
0
0
0
0
0
0
8
8
0
0
0
8
8
4
0
14
8
0
0
2
20
0
0
0
0
16
0
0
0
32
32
0
0
32
4
4
2
0
0
0
0
0
0
16
8
8
0
2
2
2
0
2
8
0
0
0
24
0
0
0
0
0
0
8
8
4
4
4
0
0
0
0
0
0
0
0
16
0
0
9
8
8
0
0
16
4
4
2
10
0
0
0
16
0
0
24
24
24
16
16
0
1
1
5
8
8
0
19
4
8
8
8
16
16
16
17
17
0
0
0
16
0
33
33
0
0
0
0
16
0
0
8
0
6
0
0
6
8
16
16
8
1
8
8
8
1
16
16
16
0
0
8
0
0
0
0
0
2
4
0
0
16
32
32
0
0
0
0
0
16
0
0
0
0
0
0
0
16
8
26
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
2
2
0
0
0
0
8
0
4
0
0
0
4
0
16
16
0
0
0
0
9
0
0
2
0
0
0
0
8
0
0
0
8
16
0
0
0
4
4
4
0
16
32
48
16
0
0
0
1
8
0
0
8
0
6
0
0
1
0
0
2
0
1
0
8
24
0
10
10
0
0
4
4
7
7
7
16
0
0
0
8
9
9
9
9
9
9
9
9
9
9
0
9
8
0
0
0
0
0
8
16
16
8
8
0
0
0
2
8
8
8
0
2
8
8
8
16
0
16
16
0
25
21
1
16
16
24
0
8
8
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
3
3
0
0
0
0
0
2
0
0
0
0
16
0
2
0
0
0
0
9
8
0
0
8
0
0
0
24
0
0
0
0
8
0
8
8
8
0
24
24
0
8
12
16
0
0
32
32
8
0
0
0
0
0
0
20
0
8
8
8
8
8
8
0
8
0
0
2
0
0
32
32
0
0
10
16
16
0
4
24
0
0
0
0
0
0
0
0
0
8
0
0
0
2
4
4
4
0
8
0
24
16
4
4
0
8
16
0
8
4
0
0
8
0
0
0
0
0
8
0
20
16
0
0
0
0
0
8
8
8
8
8
17
17
8
0
0
0
12
12
12
0
0
0
8
0
0
0
0
0
16
16
0
0
0
0
8
8
24
0
8
16
16
0
0
0
0
0
8
0
0
2
0
0
0
0
0
0
8
0
0
0
6
6
2
1
2
2
16
0
8
0
0
8
2
2
2
4
0
32
0
16
0
0
1
0
24
0
8
8
1
1
16
0
4
28
0
0
0
16
8
8
0
0
8
5
0
0
0
16
0
0
24
24
24
25
0
0
4
0
0
48
0
0
8
8
0
8
0
2
2
2
16
52
52
0
8
8
8
8
0
0
0
0
0
0
0
0
0
8
16
0
0
2
8
8
8
8
8
8
0
0
0
0
2
0
0
0
16
0
8
0
0
0
0
0
0
0
0
4
0
8
4
4
16
4
4
0
0
0
0
0
24
0
0
8
8
8
8
8
8
8
8
0
16
16
0
2
2
8
0
0
0
0
16
0
0
48
16
10
0
0
12
1
1
0
0
8
0
0
0
8
0
8
8
8
16
0
0
0
0
0
0
0
20
20
20
0
0
0
0
0
4
0
0
0
15
0
8
8
0
0
8
8
0
0
0
0
8
0
0
8
8
0
0
0
0
0
49
0
0
0
2
0
1
0
0
0
0
16
16
0
16
0
0
0
8
8
0
0
8
0
0
25
8
6
0
0
0
0
8
0
8
0
16
16
4
16
1
0
0
20
20
8
4
8
0
0
2
9
0
0
2
16
16
0
4
17
0
0
8
4
16
1
1
0
0
0
0
0
2
8
9
16
16
17
17
16
8
8
0
0
0
2
2
2
2
8
0
8
16
16
16
0
0
0
0
8
0
16
0
0
0
8
8
8
19
2
0
16
16
16
8
0
0
0
0
0
0
16
0
0
0
0
0
1
12
4
4
4
4
4
4
4
1
1
1
1
1
16
16
20
0
0
0
8
8
6
1
0
8
8
0
8
4
4
4
8
8
8
0
0
8
8
0
8
8
0
0
16
16
0
26
0
0
0
32
32
32
0
0
0
0
16
0
0
8
0
0
8
8
0
16
9
0
8
8
8
8
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
16
8
8
16
1
0
0
8
0
25
0
0
0
0
0
0
8
16
16
2
0
16
0
2
2
2
2
1
0
0
0
13
13
16
16
16
25
8
8
0
8
8
0
8
0
0
0
0
0
4
4
8
8
24
2
2
2
0
0
8
8
8
8
8
0
8
24
0
0
0
0
1
8
8
8
8
0
0
16
16
8
4
24
32
32
32
32
16
16
0
16
16
1
1
1
1
0
24
24
32
2
2
2
2
32
32
0
2
0
8
8
0
0
0
0
16
0
0
0
0
4
16
16
0
0
0
8
0
8
8
0
0
0
13
16
1
4
8
8
8
4
0
0
4
4
1
16
0
0
0
4
0
1
1
1
0
16
16
4
0
0
0
0
2
32
32
16
0
0
16
0
16
8
8
8
0
16
0
8
24
8
0
2
4
4
48
48
16
0
8
8
8
0
0
1
10
8
8
1
1
1
4
0
0
0
4
20
0
18
16
8
0
0
0
8
8
1
1
1
8
21
0
0
8
1
1
0
16
1
0
0
8
16
0
0
0
8
8
8
8
0
0
0
8
2
4
0
0
8
8
8
0
0
0
0
9
0
0
8
8
16
0
32
0
16
0
0
0
0
0
0
33
0
0
16
16
0
16
16
16
16
16
16
0
4
8
4
4
21
2
2
2
32
4
4
4
4
8
1
1
8
40
8
8
0
0
0
24
24
8
0
16
16
0
0
16
1
0
0
0
0
0
0
0
0
8
16
0
0
0
0
18
8
8
0
0
0
0
0
0
16
0
8
16
8
8
0
2
2
2
0
0
8
8
0
16
8
0
0
0
0
0
0
8
8
8
8
2
0
8
0
0
4
16
0
0
0
8
0
0
9
8
0
0
4
2
2
0
16
8
8
8
8
8
8
8
1
32
4
0
16
16
16
0
0
0
0
0
2
16
16
16
0
16
1
4
1
0
0
0
0
24
8
8
0
8
8
0
0
0
0
0
8
8
8
8
8
4
0
0
9
9
9
16
16
16
19
4
8
1
0
32
0
0
0
0
16
0
8
6
16
6
6
6
0
8
32
0
16
16
8
8
4
4
12
12
8
0
8
0
33
8
0
1
1
0
32
32
32
32
32
16
0
1
0
4
28
28
8
0
27
25
0
0
0
8
1
4
4
4
8
0
8
16
0
18
18
1
28
8
8
8
16
4
4
4
4
16
16
16
16
16
0
2
0
0
16
3
8
0
0
8
8
8
8
8
0
4
4
4
0
0
16
16
32
32
16
8
34
0
16
16
0
4
4
9
0
0
0
0
16
16
0
0
24
0
0
0
1
16
16
32
0
3
3
12
48
32
49
49
8
8
8
16
8
0
16
16
0
0
0
0
16
32
0
0
0
1
1
1
16
16
0
1
16
13
13
8
0
33
33
33
0
8
0
0
0
16
16
16
16
0
0
0
0
0
2
0
0
16
8
0
0
0
26
26
26
26
26
26
8
8
8
0
0
24
24
0
0
0
8
8
8
2
2
8
0
16
16
8
0
2
2
8
3
3
3
0
0
16
16
16
16
16
4
2
0
1
20
48
48
0
0
8
1
16
8
0
0
0
8
1
16
8
2
0
4
4
0
0
16
10
10
0
32
16
16
16
16
16
1
1
16
8
8
8
8
0
0
0
0
0
1
16
0
16
16
5
5
5
5
0
16
0
0
0
0
0
8
8
8
0
0
8
16
16
0
8
8
16
16
16
1
1
0
0
0
0
0
0
0
4
4
0
0
0
0
0
24
0
0
0
4
4
16
2
40
40
40
8
16
16
0
16
8
8
0
16
16
25
0
8
16
16
32
32
32
0
18
33
0
0
8
0
0
0
4
0
8
1
0
0
0
0
8
8
0
0
0
8
0
0
32
0
1
1
0
0
0
0
8
0
0
0
4
0
0
24
24
16
8
24
8
32
32
16
16
16
8
8
8
8
0
0
16
4
0
12
12
0
0
0
0
8
8
8
8
0
0
0
24
0
0
2
2
0
0
0
8
0
1
16
0
1
0
8
8
0
0
0
0
0
0
0
0
16
0
0
0
0
8
0
0
0
0
0
0
0
8
4
0
17
10
2
2
0
8
1
41
8
4
4
4
8
16
0
2
0
8
28
0
0
0
0
0
0
2
22
8
8
24
8
0
0
0
0
0
0
9
1
1
1
1
0
0
12
2
16
0
0
0
8
1
1
1
1
0
16
16
16
0
0
1
8
8
4
4
0
16
0
0
0
0
16
16
4
0
0
0
8
4
1
1
16
2
2
4
8
0
0
16
16
0
16
0
0
16
18
8
8
24
16
16
16
16
16
2
1
1
1
8
0
0
8
8
4
0
0
0
0
0
1
8
0
8
0
0
0
16
8
8
8
16
16
0
0
0
0
8
0
0
0
1
35
35
35
17
1
1
1
4
0
8
8
8
8
17
0
0
16
16
20
10
10
0
0
0
0
2
0
8
8
8
8
0
0
0
16
8
24
8
16
2
1
0
8
8
8
8
0
0
4
0
0
18
18
16
4
4
4
8
8
16
16
16
16
12
0
0
5
5
4
4
4
2
2
2
2
4
8
16
16
16
16
16
16
16
0
0
0
8
8
0
0
0
0
8
8
8
0
0
16
0
8
0
8
8
8
8
0
2
2
1
1
0
0
0
0
0
0
0
0
0
0
0
8
8
16
16
16
2
8
8
8
8
48
1
0
2
2
32
32
32
32
8
0
0
0
1
8
0
0
8
0
8
8
8
8
32
8
0
0
0
4
4
4
4
0
0
0
0
9
9
8
1
0
0
0
8
16
16
16
4
16
16
16
16
8
0
16
16
8
19
21
8
32
8
8
8
8
0
16
0
0
16
16
16
4
16
16
0
0
0
0
8
2
0
0
0
8
12
12
0
0
2
0
0
0
8
8
8
8
8
8
8
8
8
16
4
8
0
0
24
0
0
0
4
16
16
0
0
0
0
0
0
8
8
8
8
8
8
0
0
0
0
32
0
16
0
8
0
0
1
1
1
1
2
2
2
2
16
24
4
0
0
8
0
24
0
8
16
16
16
1
1
1
16
16
16
0
0
1
0
0
0
0
16
8
16
0
0
0
0
2
8
8
8
12
3
3
3
0
8
16
0
42
4
0
2
2
2
2
0
16
0
8
8
8
0
0
4
4
4
4
0
0
8
8
8
0
0
8
0
16
8
8
2
4
4
0
0
2
1
16
16
8
2
2
0
8
16
16
8
8
8
8
4
0
19
8
8
8
0
0
0
16
16
8
0
0
0
0
0
0
8
8
16
8
16
0
0
16
16
1
0
16
26
0
24
24
0
16
0
0
0
0
16
8
0
0
0
8
0
0
16
8
8
8
8
8
16
16
16
24
0
8
8
8
8
8
8
8
0
0
0
0
0
8
16
16
16
0
24
24
24
0
0
8
8
8
16
0
8
8
8
8
17
17
0
0
0
8
5
5
16
24
24
24
24
0
0
0
0
8
8
0
0
8
0
56
56
16
0
6
4
16
0
0
17
8
8
8
2
2
2
32
32
16
1
1
1
8
8
20
20
9
9
16
16
0
0
0
16
4
4
1
0
0
0
48
0
40
40
0
0
0
8
8
32
41
32
24
4
8
8
8
8
8
1
8
8
16
32
8
8
0
32
32
8
8
0
0
0
0
0
16
0
0
0
0
8
8
8
0
1
8
1
1
1
1
1
0
32
8
8
8
0
0
8
2
2
0
0
18
0
16
25
0
8
0
0
8
8
4
0
0
16
8
0
16
4
16
8
0
0
0
0
0
0
33
16
8
4
4
16
8
2
2
0
0
0
0
0
0
0
0
8
8
0
2
32
0
0
0
16
0
0
0
0
0
0
0
0
22
1
1
1
1
0
2
1
8
25
8
8
8
32
8
0
0
3
0
16
0
0
8
0
0
0
24
0
0
24
8
16
1
8
8
0
1
0
0
0
0
4
16
4
4
4
4
4
0
16
0
28
0
8
8
8
8
8
8
9
0
0
4
4
0
4
1
1
1
1
1
1
0
32
0
0
16
0
0
16
1
1
1
0
0
0
0
0
1
0
0
0
0
0
24
24
24
24
24
24
24
24
24
8
8
0
0
0
0
0
0
0
8
0
0
0
8
4
16
4
1
0
16
16
8
0
24
24
2
2
0
0
0
1
0
0
32
2
16
0
0
16
16
16
2
2
18
8
8
8
0
16
1
1
16
16
8
8
8
8
2
8
0
0
0
0
0
0
16
16
0
8
17
0
0
20
4
4
4
4
16
0
0
0
0
9
0
0
0
16
4
8
8
8
8
0
0
0
16
0
16
16
0
0
0
0
0
4
4
2
2
2
1
1
0
0
0
16
40
8
16
4
0
8
16
0
8
0
16
0
24
0
0
0
0
0
0
0
0
16
16
8
8
0
0
0
4
4
16
16
1
1
1
8
16
16
16
16
8
16
0
3
0
0
0
8
16
2
2
0
0
0
4
0
12
0
16
0
32
32
8
0
16
16
24
24
24
24
24
0
0
8
8
8
8
8
0
8
8
0
2
1
1
8
8
42
42
16
16
16
16
0
0
32
32
0
37
0
0
0
0
8
0
0
8
8
16
2
1
1
25
25
32
32
8
0
54
54
20
20
16
4
5
5
5
28
8
8
8
4
24
24
24
24
24
0
8
2
0
8
8
8
0
0
0
32
32
32
32
1
1
0
0
0
0
0
8
0
24
16
18
21
21
0
4
4
0
8
8
8
4
34
34
16
0
16
0
0
24
24
24
24
0
0
1
0
4
0
1
1
16
16
16
8
0
16
16
16
16
8
8
8
8
8
0
0
1
1
0
8
0
0
3
0
0
1
8
16
0
0
8
8
8
1
1
8
8
8
4
0
16
0
2
8
16
2
16
16
0
0
0
0
0
0
0
0
32
16
0
0
0
0
0
0
12
16
8
1
0
0
0
0
16
0
8
33
33
16
0
16
16
16
16
0
0
0
0
0
0
16
16
16
16
8
56
16
0
0
0
0
8
4
8
32
16
16
12
2
2
0
51
0
0
0
16
32
18
18
0
0
21
21
33
16
16
16
1
16
0
0
0
0
0
0
16
16
0
0
16
16
0
16
4
0
0
0
0
0
0
16
16
0
0
2
0
8
0
16
8
0
0
0
0
0
0
0
0
0
26
26
26
16
8
0
0
0
8
0
0
0
4
4
4
0
0
40
40
0
0
2
0
0
0
0
0
1
1
0
0
8
0
0
3
8
8
8
16
16
16
16
1
2
0
0
8
0
40
4
4
16
2
8
8
0
0
0
0
0
0
0
0
0
1
1
3
3
3
4
8
0
0
8
8
0
1
1
0
8
0
1
8
8
20
20
20
0
16
16
0
16
24
24
0
0
24
0
0
0
8
0
16
0
0
0
0
0
0
0
8
16
16
16
8
0
0
16
16
0
0
0
0
0
4
4
8
8
0
1
0
0
8
0
32
0
0
0
0
0
8
8
8
2
16
1
1
0
8
0
0
0
4
0
0
20
1
1
8
56
6
6
0
0
32
32
7
1
0
0
0
16
16
16
0
0
16
16
0
0
1
1
0
0
16
16
16
4
16
4
6
12
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
8
0
24
0
2
8
2
0
0
8
8
0
8
16
20
8
8
8
0
4
8
8
8
17
3
1
1
1
8
8
8
8
4
8
4
1
1
16
16
2
2
9
9
9
9
9
9
8
0
0
8
0
0
8
0
1
1
1
0
1
0
0
0
16
16
16
16
0
0
0
0
10
10
0
16
1
24
0
32
0
0
0
16
16
16
59
59
1
1
18
18
8
8
0
0
0
0
0
8
0
0
0
0
20
16
16
24
1
0
0
8
0
0
0
8
0
0
0
0
0
16
16
16
0
16
16
4
8
8
4
4
0
0
0
41
4
16
8
2
48
48
48
48
48
48
17
1
0
0
0
48
0
0
0
0
16
8
16
0
0
0
1
8
0
0
16
8
8
8
16
0
0
0
0
0
4
4
8
4
16
2
4
32
16
16
16
16
0
0
4
0
0
0
0
0
8
24
0
0
0
8
40
0
0
0
8
8
8
0
16
16
16
16
0
2
16
16
16
0
0
16
1
8
8
16
8
0
0
0
5
0
16
16
0
8
8
8
8
8
8
8
8
8
8
8
0
0
12
1
8
1
0
0
0
8
2
0
2
8
8
8
0
2
8
8
0
0
8
8
8
16
0
16
0
0
0
56
25
0
0
0
2
0
0
2
0
0
0
0
16
0
8
0
0
0
0
2
0
0
12
16
8
8
0
8
8
16
16
0
0
0
0
16
16
16
16
2
0
0
0
4
4
8
0
0
0
8
8
0
0
8
0
0
0
8
8
10
16
16
8
0
0
4
18
18
18
18
18
0
8
8
0
16
16
16
16
16
16
16
4
16
16
16
16
8
0
0
0
8
16
16
8
0
0
4
4
8
8
8
8
8
8
8
8
8
8
12
0
8
0
0
0
2
0
0
24
0
0
8
8
8
0
0
1
2
8
8
8
16
8
0
0
0
8
0
0
0
4
4
4
0
16
16
26
26
26
26
26
26
16
0
0
0
0
16
16
1
50
2
2
2
2
2
0
0
0
1
8
16
0
0
0
16
16
1
0
0
0
8
0
4
2
2
8
0
1
2
0
0
24
24
0
0
12
0
1
0
25
25
0
0
0
25
4
0
16
1
8
0
0
9
1
2
2
2
2
1
0
8
8
59
59
59
59
9
8
0
0
16
1
17
4
32
32
32
8
8
8
0
4
0
0
0
0
4
1
24
12
0
0
0
0
0
0
28
2
2
2
2
2
8
1
0
0
8
8
8
8
16
16
16
16
4
0
8
8
0
0
32
0
16
16
8
16
16
4
24
24
16
8
8
8
6
0
0
0
0
0
0
32
16
16
16
0
0
16
16
16
0
0
0
12
0
0
0
0
0
2
2
1
16
16
8
0
1
1
0
16
16
0
0
0
0
0
16
8
16
0
8
8
16
16
16
4
16
16
16
0
0
0
0
8
1
1
0
0
0
0
0
0
4
0
0
0
0
0
16
4
32
32
32
32
60
8
12
16
16
4
0
2
2
8
24
8
8
8
8
16
16
24
0
16
16
0
0
16
28
22
22
22
32
0
25
0
0
20
20
1
0
0
24
4
4
4
0
0
16
29
29
29
29
29
29
29
29
29
29
29
29
0
16
0
6
2
2
2
2
2
16
16
24
0
0
0
4
0
16
8
16
4
8
0
9
40
40
16
0
0
8
8
0
8
12
8
16
16
0
0
0
24
0
0
0
16
16
28
12
8
24
0
0
0
0
0
8
8
8
8
8
8
8
0
0
8
0
49
0
0
0
44
0
0
0
8
4
0
0
0
0
0
0
20
20
20
16
4
0
8
8
8
8
0
0
0
0
0
0
0
0
0
4
8
16
0
2
8
8
8
0
4
8
0
32
32
0
0
8
16
0
0
16
2
16
0
1
8
2
29
29
0
8
8
16
24
16
16
0
0
16
2
2
2
2
0
0
0
0
35
35
9
25
16
9
24
0
0
0
0
4
4
0
8
0
0
16
16
16
24
0
0
8
0
8
0
0
8
8
0
6
24
0
8
3
3
0
0
48
0
0
0
8
32
0
16
16
16
8
0
0
16
0
0
0
0
0
16
0
0
24
24
4
4
4
16
16
16
0
8
0
4
0
8
8
0
0
0
0
0
0
24
24
2
0
4
16
16
16
16
16
0
0
0
0
16
8
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
8
8
16
22
8
8
8
0
8
4
18
0
0
0
8
8
0
0
0
4
0
16
32
8
0
0
0
0
0
0
0
16
16
16
8
8
8
8
0
2
0
0
8
16
8
0
8
8
0
0
6
6
1
2
25
0
0
0
0
0
0
8
2
1
0
0
0
8
8
8
21
20
24
2
16
24
16
0
8
8
8
2
0
0
0
0
0
0
0
0
0
8
0
1
1
16
0
8
20
20
0
0
1
32
24
24
0
16
0
0
2
0
0
0
0
2
0
1
8
8
8
34
8
1
8
8
8
8
20
0
0
33
33
33
0
1
8
8
0
16
8
8
8
16
16
16
16
16
16
0
0
1
1
0
16
16
0
8
16
0
0
0
8
4
0
0
0
8
8
16
16
16
0
0
0
8
8
1
0
0
0
24
16
16
0
16
8
16
2
8
1
20
16
4
0
0
4
4
4
4
8
8
8
16
2
0
24
8
8
0
8
16
16
0
12
12
8
4
4
1
1
1
0
0
1
4
0
0
0
1
8
8
8
0
8
0
0
32
32
0
4
52
0
8
0
8
8
2
8
0
0
0
8
8
2
16
16
16
8
8
8
0
2
8
8
1
24
16
4
8
0
0
4
0
0
0
8
16
16
0
0
0
16
16
16
2
2
0
0
0
0
0
0
0
0
0
16
16
16
0
0
0
4
4
8
8
8
8
0
8
8
8
8
16
0
0
0
0
0
1
0
2
0
0
24
0
0
16
16
16
24
0
0
2
24
0
0
0
0
0
2
2
4
1
0
0
0
8
8
8
16
0
8
4
4
16
8
8
0
0
0
0
8
2
0
16
16
16
0
0
8
8
8
8
8
8
0
2
2
8
32
32
0
8
8
0
2
32
8
1
0
8
0
16
8
0
8
0
20
20
20
16
8
0
0
0
16
0
0
6
8
0
0
8
8
8
8
8
8
8
1
1
0
0
19
0
0
0
0
0
8
8
8
8
8
8
0
0
16
0
16
16
16
8
0
0
0
0
0
0
0
8
8
4
4
2
4
20
8
8
8
1
1
4
0
0
0
2
10
4
8
8
0
4
56
1
1
4
4
8
0
0
8
8
0
2
0
8
2
2
16
18
0
4
4
8
16
16
16
8
2
0
24
24
0
0
0
16
0
0
0
8
0
0
0
16
16
4
16
16
16
0
1
0
16
0
18
2
2
2
0
8
8
16
8
8
16
16
0
0
0
8
8
4
48
4
4
0
0
0
0
1
4
8
8
4
24
24
24
24
8
0
0
0
17
8
0
0
16
16
4
8
8
8
0
1
8
12
8
0
0
1
0
0
0
0
22
18
18
8
8
0
0
0
0
32
0
8
0
24
4
4
0
0
8
8
8
0
0
0
0
0
0
0
8
8
0
0
8
8
0
16
16
16
16
8
8
0
8
8
8
8
0
0
26
26
1
1
1
8
8
8
8
8
16
16
0
0
0
16
8
16
16
0
0
16
8
8
4
0
0
16
16
0
8
8
8
8
0
0
0
0
0
42
42
0
10
0
0
16
16
57
57
57
57
57
0
0
8
8
8
8
2
0
0
1
1
1
1
0
0
0
0
8
8
8
16
16
16
8
8
10
10
10
16
0
0
1
0
16
16
16
16
8
0
0
8
2
6
2
6
6
0
0
4
4
2
2
2
17
17
1
1
8
34
4
8
2
6
6
2
1
8
8
24
1
1
1
2
16
8
0
0
20
8
8
8
16
16
0
0
0
0
16
20
20
20
0
3
1
0
0
0
16
33
33
32
40
0
16
4
0
8
8
8
8
16
16
16
0
17
17
16
8
0
16
16
16
0
0
0
0
0
8
8
8
8
0
8
8
8
8
4
4
0
0
0
0
0
0
1
0
1
1
0
0
4
8
8
8
8
16
0
2
1
16
16
0
8
16
8
0
0
0
0
20
16
8
16
8
8
0
0
16
16
16
16
16
8
0
8
16
16
2
0
0
8
0
0
0
0
0
16
16
8
8
32
0
0
8
2
8
8
8
8
8
8
4
1
0
0
0
10
10
10
10
0
0
0
20
12
12
12
4
8
0
48
32
1
1
0
0
0
0
4
0
0
0
0
0
0
0
0
16
4
4
0
1
2
2
0
16
8
16
8
8
8
8
0
0
0
1
16
16
16
16
16
1
1
0
0
0
0
8
1
1
0
0
8
8
4
4
1
1
16
16
16
32
0
4
4
4
16
8
8
0
0
16
16
8
8
0
0
20
0
0
0
0
0
0
0
0
16
16
4
4
4
4
4
32
0
0
2
2
16
16
16
16
16
0
0
8
0
0
8
8
0
0
0
0
0
8
1
1
40
40
0
0
0
0
4
4
16
0
16
8
8
8
8
8
8
0
0
0
4
0
8
16
2
16
0
0
0
0
16
20
16
16
9
0
1
16
16
16
1
1
8
16
4
4
4
0
16
0
16
0
0
8
8
8
8
8
0
0
0
0
8
8
0
16
0
18
32
4
8
16
16
16
16
0
0
8
8
16
0
0
48
48
48
16
16
0
0
0
16
0
0
16
16
16
0
0
0
32
16
0
16
0
0
2
0
0
0
0
0
0
8
8
8
8
0
0
0
4
16
16
16
0
0
0
0
0
0
0
0
4
4
8
8
24
24
8
8
8
32
8
8
8
16
16
25
16
16
16
8
8
8
8
8
0
0
0
2
2
16
18
4
0
0
0
0
0
2
2
1
16
24
16
16
17
0
0
2
9
0
0
0
5
1
4
8
22
16
8
0
0
1
17
0
1
16
16
16
0
16
16
8
8
16
0
4
0
4
4
0
0
0
0
0
0
8
0
0
0
0
0
0
0
16
0
0
0
16
8
16
0
0
0
0
0
0
32
0
4
4
8
8
0
16
16
16
0
0
0
0
2
8
0
8
8
8
0
16
0
0
0
9
8
16
16
16
0
0
16
16
2
8
8
16
0
0
16
16
16
8
8
8
16
16
0
24
0
0
0
0
16
16
16
0
0
0
0
16
4
16
0
0
0
0
8
8
8
8
8
8
0
1
16
8
16
16
16
0
0
0
4
4
0
4
1
16
4
4
4
16
8
0
0
0
0
4
16
9
1
0
8
8
0
8
22
22
22
2
2
0
0
16
0
2
2
2
4
0
0
4
0
4
32
32
16
8
1
0
1
1
8
1
1
1
8
0
8
8
8
8
8
0
8
0
0
0
24
0
0
0
0
4
4
4
4
0
16
8
0
0
2
12
16
0
8
1
0
8
0
0
10
8
0
8
0
0
0
0
0
0
8
0
8
8
0
0
0
1
0
1
0
16
2
2
2
0
24
16
16
0
0
1
0
0
0
8
0
17
16
16
8
8
16
16
16
16
0
0
0
8
33
33
0
8
0
1
1
0
0
8
16
16
0
0
0
0
0
1
0
0
8
4
4
4
4
16
0
0
0
8
8
34
1
1
0
0
0
0
36
32
40
0
0
0
8
8
0
32
32
32
0
16
16
8
8
0
0
0
16
0
0
2
0
17
16
8
0
4
16
8
8
8
1
2
4
24
0
0
0
0
0
8
0
8
0
16
1
0
0
0
17
0
0
0
0
0
0
0
0
0
0
0
16
16
16
8
8
0
1
0
16
16
4
4
4
4
0
8
2
24
0
0
25
8
0
0
0
8
8
8
16
16
0
24
0
0
8
8
8
0
8
8
8
0
32
32
0
0
0
0
0
1
1
9
9
0
8
1
8
8
16
2
16
12
12
12
8
1
8
0
0
2
8
8
0
1
1
1
0
0
0
0
0
8
8
0
0
17
2
57
0
6
8
8
16
16
16
16
16
16
0
0
0
0
0
4
16
16
16
16
1
4
4
2
4
16
9
1
0
0
4
4
0
4
16
8
1
1
1
16
8
8
0
1
8
8
8
8
8
8
8
0
8
8
0
16
16
16
0
0
8
0
1
1
1
0
0
2
0
0
0
0
8
8
0
0
0
0
8
8
8
0
40
8
1
1
0
0
0
40
0
16
16
2
16
0
0
0
0
0
0
0
0
0
0
0
0
32
0
0
0
0
48
0
8
0
0
20
8
1
4
4
0
2
0
8
8
4
4
1
12
12
8
1
0
4
4
4
48
8
0
0
0
4
16
2
2
2
1
0
8
8
0
4
0
0
0
0
4
4
8
8
0
8
4
4
0
8
16
0
0
16
16
1
1
0
4
16
16
16
0
0
0
0
8
16
16
16
16
8
0
0
0
0
0
0
0
8
8
8
8
24
24
24
24
24
24
24
24
24
16
18
8
8
8
8
8
0
0
16
16
16
0
16
16
16
0
4
0
0
0
13
8
0
16
4
4
2
2
8
8
0
0
16
0
1
1
16
2
4
4
0
0
8
0
0
8
8
8
0
4
12
12
28
0
0
0
8
8
0
8
8
8
8
0
8
0
0
8
8
16
2
2
16
16
24
2
0
16
6
16
8
16
1
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
16
16
16
0
0
0
0
8
8
8
0
0
16
16
16
18
32
8
8
9
9
9
1
8
8
18
4
4
0
20
2
0
0
0
16
20
4
16
0
16
0
0
0
0
24
24
8
0
0
16
16
0
8
0
0
24
4
16
0
8
8
16
16
16
0
0
0
8
0
0
0
0
0
0
8
8
16
0
0
0
36
36
2
2
2
2
16
0
0
8
8
0
8
8
8
0
0
0
0
16
0
0
0
0
8
8
8
8
2
16
16
1
5
1
1
1
16
16
16
16
16
1
0
0
0
16
16
0
16
16
16
16
16
8
2
19
0
1
1
16
16
0
0
0
0
8
8
16
16
16
56
0
4
0
16
8
0
1
0
1
8
8
8
8
8
0
16
16
10
10
16
0
0
8
0
8
8
2
0
0
0
34
2
8
8
8
8
0
8
8
8
8
0
0
16
16
16
16
16
16
16
16
16
16
16
16
4
0
0
16
18
8
8
8
8
0
8
8
0
0
4
32
0
0
16
4
4
0
0
0
8
0
0
8
16
16
0
0
0
0
16
16
8
8
0
0
0
0
0
0
0
0
28
32
8
8
8
12
12
1
8
63
0
2
8
8
0
0
0
0
0
8
0
0
0
0
16
0
0
0
16
4
8
18
0
0
0
0
0
0
0
16
16
16
0
0
0
0
8
0
0
0
0
0
0
9
1
0
0
0
0
0
8
2
8
8
8
0
0
16
16
0
0
0
0
0
0
2
2
24
24
1
0
0
16
4
8
12
8
0
0
0
16
16
0
0
0
0
0
0
0
2
0
0
0
8
8
8
8
8
0
0
0
0
8
8
8
8
8
0
8
4
4
8
8
0
8
8
8
8
8
0
0
0
8
8
8
0
1
0
0
0
0
5
4
0
0
8
0
1
0
0
24
8
16
16
4
4
12
0
32
8
8
2
0
16
8
0
8
48
6
0
0
0
8
0
8
0
8
16
16
16
16
16
8
8
8
8
8
8
0
0
0
0
2
2
2
12
36
0
8
8
0
0
18
0
20
20
4
4
4
16
10
0
16
16
8
0
0
0
0
0
8
0
16
16
16
1
1
0
1
1
4
12
12
0
3
3
0
4
4
8
8
8
8
0
0
16
16
16
0
16
8
0
8
8
0
16
2
16
4
4
16
16
16
1
16
1
16
16
32
32
0
16
16
16
16
8
8
16
17
1
1
0
0
0
0
0
24
16
16
16
16
16
0
28
28
28
0
0
0
0
8
16
8
8
1
1
0
0
0
1
1
1
32
0
0
0
2
2
2
2
1
2
2
0
0
16
16
16
16
2
0
32
16
16
16
16
17
16
32
24
24
16
16
16
0
0
0
8
0
8
8
0
0
8
4
4
4
8
8
4
16
0
4
0
0
4
4
4
0
0
0
0
16
0
0
0
8
25
25
8
16
16
16
0
2
0
0
0
8
8
8
8
8
8
8
8
8
0
1
8
28
28
28
0
16
2
2
2
2
2
16
8
0
0
0
0
4
16
16
16
16
16
16
0
0
36
16
16
9
2
0
24
16
8
8
24
0
0
0
0
4
0
16
16
0
8
8
8
8
8
16
0
0
0
0
0
17
17
0
0
0
0
8
8
9
0
0
16
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
32
32
32
0
0
0
0
0
0
0
0
4
24
24
0
0
16
16
16
16
16
16
0
8
8
4
4
4
4
8
26
0
0
1
1
4
0
0
0
0
0
32
32
32
8
0
0
8
2
3
16
16
8
8
4
4
24
0
2
8
0
20
4
0
0
2
2
2
2
2
0
0
4
8
8
8
0
0
16
8
8
8
1
1
8
8
0
0
20
20
16
16
0
8
8
16
16
16
16
20
0
0
16
4
0
8
8
8
8
16
16
0
8
16
16
0
8
48
9
9
16
0
0
16
0
0
16
16
16
8
16
16
16
16
16
0
24
24
0
8
8
8
8
0
0
0
16
24
24
24
24
16
8
0
0
8
8
8
8
8
8
8
8
0
2
8
24
24
4
0
0
0
0
0
24
24
24
0
0
0
0
8
8
8
8
8
8
8
8
8
0
0
0
8
0
8
16
8
16
16
16
16
16
8
8
8
8
0
0
8
8
1
1
1
18
0
16
30
0
0
16
0
8
8
0
0
1
0
32
16
16
16
16
33
0
0
8
8
0
1
1
1
1
1
1
0
0
0
0
0
4
4
0
0
16
0
0
16
16
16
16
16
0
16
4
4
0
0
0
0
8
8
32
1
16
16
16
0
0
0
0
20
3
0
8
1
18
8
8
2
8
8
8
8
8
8
1
1
2
2
2
2
2
2
2
2
0
0
0
2
16
8
16
0
0
8
0
0
0
0
0
0
8
8
8
0
8
0
4
0
0
8
8
0
0
8
8
8
8
16
16
2
0
0
0
1
1
0
8
8
8
0
0
4
4
4
9
9
0
0
2
2
2
4
12
12
17
16
16
0
0
2
8
16
16
0
0
8
32
8
16
8
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
1
0
8
0
0
8
8
10
1
0
0
2
0
0
0
0
16
16
0
16
4
0
0
0
8
0
16
16
4
4
4
4
4
3
3
8
8
0
0
0
1
1
1
1
1
0
36
36
8
16
0
1
0
0
1
1
8
8
0
0
16
16
0
0
0
0
8
6
16
0
0
0
0
4
8
0
24
24
25
24
24
8
0
0
8
8
16
8
0
0
8
0
16
0
4
4
4
4
0
0
0
8
8
0
8
0
0
0
0
2
0
4
16
0
0
30
16
8
8
8
0
0
0
0
0
8
8
8
0
0
0
8
2
24
0
8
16
0
1
1
4
8
0
0
0
0
0
0
0
0
0
0
16
16
2
0
0
0
0
24
16
0
4
4
1
4
4
4
0
0
16
16
18
0
0
2
0
0
16
0
16
8
8
16
8
8
0
12
0
8
8
0
0
14
2
2
28
0
0
0
0
0
0
0
0
0
8
32
24
24
0
8
6
0
32
32
32
4
8
0
16
16
1
9
9
9
0
16
0
0
0
0
0
0
8
0
4
0
18
18
0
0
16
0
0
0
0
0
8
8
16
0
0
8
8
8
8
8
0
0
0
0
16
0
0
0
0
8
12
2
2
2
1
1
0
0
16
0
8
8
8
0
0
22
22
0
24
0
2
0
0
0
0
0
0
0
16
16
8
8
8
16
0
16
8
8
16
16
16
4
0
0
0
2
1
0
0
0
0
8
0
0
0
0
0
0
0
16
1
1
1
8
8
8
0
0
0
0
0
0
16
0
4
4
0
0
0
0
16
0
16
0
0
8
0
1
0
8
16
24
24
0
4
0
16
16
0
0
0
16
17
17
16
16
40
8
8
0
0
0
16
16
0
0
8
8
8
8
0
0
8
0
8
8
16
0
0
0
0
0
0
4
4
0
32
32
0
24
0
8
8
8
0
8
16
16
16
0
24
8
8
0
8
8
8
0
0
8
8
1
0
0
0
0
16
16
0
0
8
8
0
4
24
24
24
24
24
8
8
24
2
12
0
16
16
16
16
16
16
16
16
16
4
16
16
16
0
0
0
16
8
0
1
0
0
8
16
16
8
0
0
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
0
2
0
0
16
12
16
16
8
8
8
7
0
0
0
0
16
16
4
0
0
0
16
32
0
0
6
0
0
0
0
22
0
0
0
0
0
0
16
16
16
0
16
16
16
16
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
24
24
16
16
0
8
8
4
4
0
0
8
0
0
16
16
0
0
16
0
0
8
0
16
16
0
2
2
2
16
8
8
16
16
0
4
4
4
0
0
8
8
6
8
8
8
0
0
0
1
8
8
0
0
0
0
0
0
8
8
8
8
16
16
16
16
0
6
2
2
2
8
8
0
1
16
4
0
0
0
0
0
0
8
16
8
8
8
8
8
8
0
6
6
0
8
0
0
16
0
8
0
0
32
16
16
16
1
0
0
16
2
8
8
16
8
8
0
0
8
8
8
0
0
8
8
8
4
2
0
0
0
0
0
0
0
1
0
4
16
8
8
8
8
8
8
2
2
0
16
16
16
16
16
16
16
0
16
0
1
6
6
0
0
8
8
20
8
8
8
14
4
0
8
8
16
16
12
32
18
8
0
33
0
16
0
0
0
58
58
58
58
58
58
0
0
0
32
10
2
2
4
4
41
8
25
0
8
0
0
1
2
32
52
8
0
0
0
0
0
0
0
0
0
16
16
0
0
9
16
8
16
16
4
4
4
32
8
0
4
0
0
8
2
0
8
0
0
0
2
2
0
27
16
16
0
0
0
2
2
1
41
0
0
8
0
4
8
8
8
8
8
8
8
8
8
8
0
0
16
16
16
2
4
16
8
16
4
0
0
12
16
16
16
0
24
24
24
8
8
8
0
2
0
16
16
0
16
0
0
4
16
16
16
16
16
51
0
0
0
0
0
0
4
4
1
1
1
0
24
24
0
16
17
16
32
32
8
8
8
40
16
16
4
0
0
0
0
0
0
0
8
8
0
2
16
16
0
1
0
2
16
2
8
8
0
0
0
0
0
0
9
9
24
1
16
0
0
0
16
2
16
40
40
12
16
4
16
0
10
8
24
1
1
16
16
22
22
8
0
8
8
17
16
16
16
8
8
16
1
1
0
0
9
12
12
12
28
8
8
8
1
1
8
9
8
20
8
8
8
0
0
0
8
0
0
4
4
16
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
8
24
24
24
4
0
0
8
16
16
4
4
8
0
24
0
32
32
32
32
0
0
0
0
8
16
0
0
8
0
8
8
8
8
8
8
4
16
16
16
8
8
24
8
8
16
8
0
8
16
16
0
0
8
0
16
16
0
0
3
17
0
16
16
16
0
0
0
0
24
24
0
0
16
0
0
1
8
8
8
8
8
16
2
0
2
2
2
8
16
0
0
0
24
24
0
32
16
0
0
0
16
16
0
4
2
0
4
4
4
0
16
0
16
16
16
8
8
8
8
0
0
0
0
0
0
16
16
16
16
0
0
0
4
16
16
16
16
8
32
4
0
24
0
0
0
16
16
0
16
8
8
8
8
16
0
0
0
0
8
0
8
27
8
8
8
0
2
0
0
16
16
0
0
16
0
0
0
16
16
16
0
0
0
0
0
0
4
0
0
0
0
0
16
16
0
24
16
0
0
16
16
16
16
0
0
0
0
0
0
8
2
2
0
0
0
0
0
4
8
8
0
0
0
0
0
8
4
0
0
0
4
2
16
1
12
12
16
0
4
4
0
8
0
16
4
4
8
16
2
16
32
32
16
0
4
1
8
8
0
8
8
0
1
16
16
0
0
0
0
0
8
0
24
0
16
16
0
2
2
10
2
2
2
2
2
8
8
8
8
8
8
4
16
16
16
0
40
40
40
0
0
2
2
4
1
0
4
9
9
2
0
0
0
0
0
0
0
0
0
1
1
0
0
18
2
32
20
20
0
16
16
0
0
24
24
0
0
0
0
0
0
0
1
16
4
4
16
0
0
0
0
0
0
8
8
8
8
16
8
8
8
0
0
0
0
0
16
0
0
8
8
0
16
8
9
1
10
0
0
0
4
16
16
8
16
16
16
8
9
0
4
0
8
8
16
16
16
16
8
0
0
0
0
0
0
0
16
4
4
4
4
4
32
0
0
0
16
16
16
2
6
2
2
2
2
8
8
8
0
1
4
4
0
0
4
0
8
8
8
8
8
16
16
16
16
1
1
0
8
1
1
1
8
8
0
8
32
32
32
32
0
0
0
0
0
16
16
16
0
0
0
0
16
24
24
24
0
0
0
0
0
0
0
4
4
0
16
0
1
8
0
16
0
0
0
16
0
4
4
4
4
4
4
8
8
8
0
0
16
16
16
1
4
4
4
4
4
0
0
16
16
16
16
0
0
16
30
30
30
8
1
16
32
8
8
8
0
0
0
0
0
24
2
0
0
16
16
16
0
0
0
0
0
0
0
16
16
0
2
24
0
0
0
0
0
8
8
0
0
2
32
32
8
8
8
8
8
8
8
8
0
0
24
24
24
2
8
8
20
20
8
8
8
16
16
16
0
8
16
8
8
8
0
16
0
0
8
16
16
0
0
0
16
16
16
16
0
0
0
16
1
1
8
0
0
0
20
0
0
2
0
4
20
0
4
8
0
0
0
8
8
4
4
0
2
0
0
0
8
8
8
0
4
4
4
0
17
17
0
8
1
1
1
1
1
8
8
0
16
16
0
8
8
0
0
0
0
9
0
4
0
20
0
0
16
16
1
8
0
12
4
4
0
16
16
16
16
0
0
0
0
25
25
8
25
0
0
0
0
0
0
0
0
0
0
0
8
8
0
8
20
16
8
8
0
0
0
13
8
0
0
0
0
16
16
0
0
0
0
0
0
8
8
0
16
16
16
16
25
4
0
8
8
8
21
21
4
17
3
4
0
10
0
8
0
0
16
17
8
4
16
16
8
8
4
4
0
1
0
0
0
1
4
0
0
0
8
8
8
8
8
8
8
8
0
0
0
0
0
24
8
0
0
0
0
16
0
0
12
8
35
3
3
16
50
12
12
0
8
8
8
0
8
0
8
8
0
0
0
0
4
8
4
4
16
0
4
4
4
40
8
8
0
4
0
2
2
0
16
12
0
16
4
8
4
8
4
1
12
8
0
8
16
12
16
16
16
16
16
32
32
32
32
18
0
2
0
8
8
8
0
0
0
0
0
0
8
8
8
8
8
8
8
16
16
16
0
0
4
4
0
0
0
0
0
0
0
0
4
4
4
4
8
16
18
0
0
0
0
0
8
8
8
8
8
8
51
1
0
0
8
0
2
16
0
8
0
8
8
16
5
0
0
8
8
8
8
8
8
8
0
0
0
0
16
16
0
0
16
0
0
0
16
1
0
0
0
0
0
4
12
0
0
0
1
0
0
0
16
8
0
8
6
6
6
0
4
4
8
0
0
16
16
16
16
8
0
0
0
4
4
16
16
0
0
0
0
32
24
8
8
5
8
0
0
0
1
0
0
8
8
4
4
0
4
2
8
16
16
16
0
8
0
20
0
0
9
9
9
9
9
16
16
0
0
0
0
0
8
0
0
4
8
0
8
1
0
16
4
4
8
8
0
4
0
0
0
0
0
0
0
0
6
0
16
16
16
16
16
1
8
0
0
0
8
0
4
4
8
0
1
0
24
24
17
4
16
16
16
16
0
8
16
16
16
0
0
0
0
0
20
20
0
0
8
8
0
18
18
16
4
0
41
41
41
41
8
8
8
0
0
0
0
0
1
1
1
1
8
0
8
8
8
8
24
0
16
6
6
12
12
12
1
16
8
8
0
8
8
0
0
8
8
8
8
0
8
8
0
56
56
16
16
16
0
0
0
8
0
0
0
0
0
1
1
12
12
0
4
56
8
8
0
0
0
0
0
0
0
0
0
17
12
8
16
8
8
8
0
0
0
1
0
0
8
16
16
16
16
0
1
8
46
0
16
16
0
0
0
0
0
16
0
0
0
0
0
0
8
8
8
0
4
0
2
2
0
0
9
8
0
0
4
8
0
24
0
0
4
2
2
8
8
8
0
0
0
0
16
16
16
16
16
0
8
8
16
8
0
0
8
8
8
0
0
0
0
8
8
4
8
8
0
8
8
16
0
0
8
8
32
32
8
8
24
24
24
8
8
32
0
0
0
8
16
0
0
0
0
0
0
0
60
0
3
1
0
0
0
0
4
4
4
0
22
54
1
1
8
0
8
12
20
0
20
8
8
32
32
32
32
0
8
8
8
8
0
0
0
0
8
8
8
0
0
0
0
0
0
0
8
0
0
24
24
8
8
16
0
0
0
32
16
16
4
0
0
0
8
0
0
32
0
0
8
8
8
8
8
0
0
16
16
16
16
4
22
6
0
0
8
17
0
0
0
0
8
16
16
2
0
0
8
1
17
1
2
2
34
34
34
0
0
0
0
0
0
8
8
8
8
8
8
8
4
0
16
0
1
0
0
0
0
16
0
48
48
0
8
0
0
1
0
24
3
3
0
8
24
24
0
8
0
16
16
8
8
8
0
0
0
8
16
0
0
0
0
22
0
0
0
0
0
0
25
0
0
1
1
16
0
20
20
32
32
16
16
16
16
16
16
17
17
0
32
8
2
8
8
0
0
32
32
0
0
0
8
1
1
0
0
8
0
16
32
8
0
4
4
16
0
0
0
0
0
0
0
0
8
8
16
16
16
16
2
2
2
8
24
0
0
16
0
0
8
0
0
0
16
8
8
16
1
1
1
1
0
0
0
0
16
0
0
1
0
32
8
8
8
0
0
8
8
8
8
0
0
8
8
8
16
8
16
8
20
0
0
16
0
16
16
16
32
0
24
0
0
0
6
16
16
32
0
8
8
8
8
8
0
0
0
0
2
16
2
0
8
0
8
8
8
16
0
0
0
0
0
0
0
0
8
8
0
0
4
0
0
0
16
16
2
2
0
0
0
12
12
12
16
16
16
0
16
16
24
16
16
4
4
0
16
0
8
0
16
0
0
0
0
0
0
32
14
0
0
0
8
0
4
20
8
1
1
0
0
0
0
0
8
8
8
8
8
8
16
16
16
0
0
0
0
0
16
16
16
16
0
16
16
0
8
16
0
0
4
0
16
16
0
0
8
0
0
0
0
8
8
0
0
0
0
0
8
0
8
0
1
32
32
3
3
3
8
8
0
16
16
16
16
4
4
4
8
0
8
0
0
0
0
0
0
9
16
8
0
0
0
0
0
0
3
3
0
0
57
0
8
8
10
8
0
0
0
0
0
0
33
33
0
8
8
8
16
16
10
24
0
0
1
1
20
16
0
0
0
8
0
0
0
2
2
2
2
0
12
8
0
0
1
1
0
0
0
0
0
2
0
0
0
0
20
20
0
0
16
16
16
0
0
16
8
8
0
0
0
0
0
22
0
0
0
0
8
2
0
0
0
16
1
1
1
8
8
0
0
0
0
1
1
1
1
16
0
0
0
0
0
4
0
0
12
0
0
4
4
4
8
0
0
8
8
8
8
0
0
0
0
8
8
8
8
0
0
0
0
0
0
19
0
8
0
0
0
0
0
0
8
16
24
8
0
9
0
0
0
0
0
1
4
4
4
8
16
8
4
4
0
8
16
16
16
4
4
16
0
8
8
14
0
0
0
40
24
0
16
16
0
0
0
2
2
8
0
0
0
0
0
0
16
8
0
52
0
0
8
8
8
1
16
4
12
12
4
20
20
2
16
16
0
0
0
0
0
24
8
0
16
20
20
20
0
1
0
0
0
0
0
16
1
1
1
8
0
8
0
0
0
0
0
8
0
4
4
4
2
1
16
16
16
0
0
0
0
0
1
0
0
8
8
0
0
16
8
8
16
16
0
0
0
0
0
0
0
0
0
0
16
4
16
16
16
16
16
0
0
0
0
0
0
8
0
14
0
8
24
24
0
0
0
0
6
4
25
25
2
8
8
8
0
0
0
0
1
1
1
1
16
16
8
0
0
0
0
0
0
16
16
0
2
2
2
2
2
0
0
0
0
0
0
9
9
9
24
1
16
8
8
8
16
2
8
0
0
4
0
14
14
0
8
8
8
0
0
0
24
32
32
40
40
0
32
32
16
1
1
1
0
2
2
16
0
0
0
8
8
5
0
0
0
0
0
0
0
2
0
0
0
0
0
16
8
8
16
0
0
0
0
0
0
8
8
0
18
18
16
8
8
8
16
2
0
0
0
0
18
0
32
8
0
3
24
0
0
0
0
8
8
20
5
4
4
4
4
9
17
8
0
0
8
8
8
28
8
8
16
0
0
0
0
0
32
0
12
24
24
24
41
0
16
0
6
0
1
8
0
0
16
0
0
0
16
8
0
0
0
0
8
0
16
16
16
0
0
0
2
16
16
0
2
2
2
0
2
0
0
0
0
0
0
0
0
24
1
1
1
0
16
16
16
0
0
0
9
0
0
32
32
32
0
0
0
0
2
0
0
32
8
8
19
16
16
32
8
0
0
1
1
8
0
8
8
8
8
4
5
0
0
0
8
2
2
2
8
8
8
8
8
4
16
16
4
16
16
0
8
10
16
16
1
1
1
1
1
1
0
5
2
2
0
60
0
24
24
0
8
8
8
8
8
8
8
0
0
16
20
16
16
12
8
0
0
0
0
2
8
0
0
0
0
8
8
8
8
2
16
0
16
0
18
0
2
0
0
0
0
0
8
8
4
4
4
0
4
1
16
16
16
0
0
16
16
0
8
8
16
16
16
8
0
4
16
16
16
16
0
8
8
8
8
5
9
9
0
17
0
4
4
4
24
0
0
0
0
10
18
18
0
8
8
16
2
2
2
2
0
8
8
8
24
1
0
0
0
32
32
16
16
16
16
16
8
0
1
8
8
8
0
18
16
0
16
0
0
0
2
2
0
20
0
0
24
24
24
8
8
8
0
16
0
1
0
4
4
0
2
2
0
0
16
16
0
0
24
0
2
24
24
8
0
8
16
16
0
0
24
0
0
0
24
24
2
16
8
8
8
8
8
8
16
17
0
0
22
0
0
0
0
8
8
8
8
0
0
0
8
0
2
0
24
24
24
0
0
0
0
4
4
4
0
4
0
0
0
0
4
1
1
0
2
8
0
0
0
0
12
12
4
4
0
0
2
0
0
0
8
8
0
4
16
0
0
1
1
1
8
0
8
24
4
4
0
8
8
1
0
0
0
8
12
16
0
8
8
8
8
12
8
0
0
0
0
16
16
16
0
0
25
25
0
0
0
0
32
4
4
0
0
8
8
8
8
8
16
8
16
8
16
8
24
4
4
8
0
0
0
33
24
4
0
0
0
0
0
0
13
0
8
8
8
2
8
8
0
1
2
0
16
0
24
0
0
32
32
0
0
4
0
16
0
0
0
0
0
0
0
0
0
0
32
2
2
8
0
0
0
0
0
0
0
0
0
0
0
8
0
0
46
46
46
4
0
5
5
0
0
4
0
0
0
0
0
0
32
0
0
0
0
2
2
8
8
0
8
8
8
8
8
2
2
2
2
0
1
1
0
24
0
0
0
8
0
8
4
8
8
8
16
16
16
16
16
0
0
16
16
0
0
0
0
0
0
0
32
0
16
0
0
0
8
0
16
8
4
0
0
1
1
1
0
0
0
0
0
0
0
2
0
0
8
16
8
8
2
0
8
8
8
8
8
8
0
0
0
0
0
0
0
8
0
3
1
2
2
8
8
1
1
0
0
0
2
0
0
0
0
8
0
0
24
16
16
32
0
0
16
8
1
1
1
0
0
8
8
8
0
0
8
8
0
0
22
4
4
1
0
0
22
22
24
16
16
16
16
16
16
0
0
0
0
8
8
0
0
8
16
16
0
0
0
8
0
32
2
0
24
0
4
8
0
0
0
0
0
0
0
0
18
4
0
0
0
0
0
0
0
1
0
0
16
16
16
8
0
10
10
17
8
8
0
1
0
12
8
8
8
0
44
9
9
9
9
0
0
1
1
0
24
1
2
2
0
0
6
6
0
0
0
0
0
0
8
4
4
4
24
8
16
16
17
8
16
16
1
0
0
28
0
4
0
0
0
32
0
8
8
8
8
8
0
0
0
0
0
0
0
42
0
0
8
8
0
16
12
0
0
32
32
0
0
1
0
0
0
16
4
4
16
56
8
0
0
0
0
0
0
1
0
0
0
0
6
0
8
8
16
0
0
0
0
0
0
2
8
8
16
16
16
16
16
2
0
0
32
0
0
48
0
8
8
8
8
0
0
0
10
10
10
10
10
10
10
8
8
0
0
0
0
0
0
4
0
24
24
0
0
0
0
4
4
4
16
0
0
1
8
16
16
16
16
16
16
16
16
16
16
0
0
0
0
0
0
0
0
8
8
8
25
8
8
16
0
0
0
4
0
0
0
16
8
0
0
0
2
2
2
2
2
0
0
0
0
0
28
0
16
16
16
0
0
0
0
0
0
8
8
8
8
8
0
0
8
8
8
18
16
16
16
9
9
9
8
8
16
2
0
24
24
0
0
16
16
0
0
8
0
16
16
16
16
16
25
0
1
1
0
8
0
0
24
0
8
1
0
2
8
16
16
16
16
16
20
0
0
0
8
24
8
16
16
16
1
0
0
8
8
1
1
1
1
0
0
32
0
0
0
0
0
2
33
33
33
12
0
2
2
4
8
8
0
1
1
0
8
8
0
8
2
2
2
0
16
4
4
0
0
0
0
0
16
0
8
8
8
8
4
8
32
0
0
12
12
0
1
19
19
16
9
16
16
16
8
8
0
16
0
0
8
4
4
0
16
4
16
4
6
0
0
0
0
0
0
0
0
0
0
0
8
8
8
20
20
20
8
8
8
8
8
0
0
0
0
0
21
21
21
0
4
0
0
8
1
8
0
0
0
16
0
0
0
16
4
4
8
0
4
4
4
4
8
17
2
0
16
2
1
1
1
20
8
29
0
4
0
0
1
0
32
32
16
0
5
16
0
4
16
0
4
24
0
0
0
0
0
8
0
0
8
8
4
0
8
8
8
8
8
0
0
0
0
0
32
1
16
7
0
0
8
8
8
8
0
32
0
16
16
1
1
1
16
16
0
0
8
0
0
8
8
8
8
8
8
12
12
12
8
8
0
0
2
2
2
2
10
4
28
17
17
17
0
0
4
4
0
4
1
1
4
4
0
24
16
0
0
0
0
22
4
1
8
8
4
3
16
0
32
8
8
8
0
16
0
0
16
16
29
20
4
8
4
4
8
8
0
8
8
0
0
8
8
40
0
32
2
2
8
8
0
0
0
0
0
8
8
8
4
0
20
4
0
0
0
0
0
0
8
8
8
0
1
16
16
0
0
0
0
6
16
8
0
0
0
0
0
0
49
49
49
49
0
16
3
0
0
2
12
16
16
4
16
24
24
16
10
10
10
16
0
0
24
24
8
8
8
36
36
5
8
0
0
8
8
8
8
0
8
0
0
4
0
4
0
0
0
0
0
0
0
0
0
0
9
9
2
2
0
8
0
8
8
0
8
1
8
3
18
0
0
16
0
4
4
24
24
1
16
0
0
24
24
1
56
8
0
8
8
8
0
20
1
8
8
0
12
12
0
8
8
0
4
16
2
0
0
16
16
0
0
10
10
0
0
0
0
2
0
3
1
8
8
0
32
0
0
0
28
16
0
8
0
16
16
16
16
1
1
1
1
1
0
8
8
32
0
0
0
0
8
0
0
4
2
0
0
0
2
0
0
0
0
0
0
0
8
16
8
0
10
16
8
8
24
1
1
1
0
0
0
16
8
16
16
16
4
2
1
2
2
2
2
2
2
2
0
32
8
2
0
16
1
2
0
24
8
1
1
1
1
8
8
8
0
8
8
0
48
16
1
8
16
8
2
16
8
0
8
8
8
0
8
16
0
0
2
0
0
16
1
0
0
18
18
18
8
8
0
0
8
8
0
8
30
0
8
8
16
24
8
4
4
4
8
8
0
0
24
16
0
0
0
0
0
0
0
0
2
2
2
2
2
20
0
0
8
12
4
2
2
2
2
16
0
0
0
4
4
4
4
0
8
8
0
0
0
0
0
0
0
1
16
16
16
8
16
0
2
2
16
16
8
0
0
32
32
16
16
16
16
0
0
8
0
6
0
0
8
8
0
0
8
0
0
16
1
8
0
8
8
1
1
1
0
0
0
0
0
0
0
16
0
0
0
8
1
16
0
0
8
0
32
32
0
0
4
4
0
8
0
8
0
1
0
0
0
24
8
8
8
8
16
16
16
16
8
0
0
0
4
0
0
0
0
2
2
0
0
0
0
0
16
34
1
0
1
8
8
0
2
8
8
28
2
0
0
8
8
8
0
0
0
7
7
0
16
0
16
24
4
4
2
2
0
0
3
1
0
0
0
8
8
8
16
4
4
8
8
8
0
8
0
0
0
8
8
52
0
16
16
16
16
0
24
8
16
16
0
16
16
16
16
16
16
2
1
1
12
8
0
0
0
0
0
0
0
16
0
18
0
0
4
0
0
0
0
8
8
0
2
8
1
0
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
16
0
20
0
0
2
48
48
1
0
0
3
3
3
4
24
16
16
24
8
16
8
32
0
0
0
0
0
1
0
8
8
8
4
0
16
16
0
16
0
0
0
0
0
16
0
0
0
0
1
0
8
0
0
0
0
0
8
0
16
16
24
8
8
1
8
8
8
0
8
8
0
0
0
0
6
6
8
8
0
0
0
0
0
0
0
0
1
32
8
9
9
9
9
32
0
16
16
16
16
16
4
4
4
4
0
0
0
0
0
34
34
16
16
2
16
16
0
2
16
0
8
2
2
2
0
0
8
25
0
8
8
0
4
4
4
8
8
8
8
0
4
49
8
8
5
1
0
0
0
0
1
0
0
16
0
0
16
16
32
8
8
0
2
2
0
0
1
16
0
8
8
0
0
0
0
0
0
0
8
20
0
0
16
0
24
24
2
18
0
0
0
0
8
8
0
16
16
24
0
0
0
1
1
0
0
8
8
8
8
8
8
0
0
0
0
0
0
0
0
16
16
16
16
16
0
16
16
16
0
0
8
16
8
17
17
16
16
16
16
0
8
16
0
0
17
4
4
0
16
16
0
0
16
2
16
8
0
8
16
8
8
8
18
0
0
2
32
32
32
0
0
0
16
16
16
16
0
0
0
8
8
0
0
8
0
18
0
2
0
8
16
17
16
8
0
16
16
8
0
0
0
0
0
2
2
8
8
0
0
0
0
0
0
4
0
0
0
0
0
0
0
16
0
0
0
0
16
8
62
62
8
0
8
16
16
16
20
8
0
8
32
40
40
1
1
16
16
4
0
8
4
0
0
0
0
0
16
16
0
16
16
0
8
8
8
0
11
11
8
8
1
0
16
16
24
0
2
16
16
0
0
2
16
0
1
16
8
32
16
2
0
8
8
8
0
0
8
16
16
32
32
32
8
8
16
0
0
12
16
0
33
33
8
0
24
0
0
32
32
32
32
8
16
16
16
16
16
0
8
8
8
16
0
8
8
0
0
8
8
8
4
4
4
4
0
8
8
8
8
24
16
16
14
0
57
16
16
16
16
16
0
24
4
0
8
8
16
9
9
4
16
16
0
16
1
0
0
9
37
0
0
8
13
13
0
0
0
0
4
4
4
4
0
0
0
0
16
4
8
8
8
8
8
16
16
16
0
48
16
0
0
8
8
16
16
57
1
1
0
0
16
16
16
8
0
1
0
16
8
8
8
0
0
0
1
16
8
16
0
8
8
4
4
0
17
17
17
0
2
2
34
34
50
0
0
8
8
0
0
0
2
8
4
0
48
16
0
16
8
16
16
8
0
4
4
0
16
32
8
24
24
8
48
16
16
8
4
8
0
0
0
8
16
2
8
8
0
0
20
0
16
16
16
4
4
4
8
8
8
8
8
16
2
0
0
16
16
16
2
2
2
4
16
16
8
0
16
16
2
2
2
2
24
8
8
0
1
1
0
0
8
16
0
16
0
16
0
0
32
32
2
8
4
0
0
0
8
8
12
0
0
0
0
0
16
0
0
0
0
16
0
0
0
0
4
4
4
0
8
3
36
36
36
0
0
0
0
24
24
16
16
0
0
0
16
8
8
0
17
17
0
0
8
8
8
8
0
16
8
0
0
0
8
16
8
8
16
16
26
8
0
0
4
0
0
24
2
4
0
0
0
16
16
16
16
16
16
0
9
8
8
1
24
24
24
17
8
0
0
0
1
1
8
2
0
0
8
10
10
0
0
16
0
0
16
4
8
0
0
16
0
17
0
0
16
2
1
1
0
0
0
0
8
0
0
0
0
0
0
0
1
8
0
0
0
0
16
8
8
1
0
1
0
0
0
0
0
0
0
16
16
16
16
0
48
48
6
16
16
0
0
0
0
16
8
8
8
8
8
1
1
1
0
0
8
8
8
16
8
16
4
0
0
0
0
0
2
0
0
0
0
32
8
0
0
0
16
16
16
16
16
8
8
0
0
0
0
0
0
1
20
20
16
0
2
8
8
8
0
0
26
4
8
0
0
2
0
16
2
0
3
0
28
8
8
16
10
0
0
8
0
16
8
8
4
0
8
12
12
0
0
20
0
0
0
18
1
8
16
4
20
20
0
8
0
0
0
1
1
8
8
8
8
8
8
8
0
0
0
0
0
0
0
16
16
8
16
4
4
4
0
1
1
0
0
10
0
0
0
0
0
8
0
16
16
18
0
0
8
8
0
8
8
8
0
0
0
6
6
0
0
0
1
0
16
16
16
16
0
5
0
0
0
1
0
0
0
8
8
1
0
8
0
0
0
0
16
9
4
4
0
0
0
0
0
8
8
16
16
16
0
0
0
0
8
0
0
0
16
0
0
0
24
3
3
3
3
8
50
50
50
0
0
0
0
8
0
0
0
0
0
8
16
16
16
18
0
0
0
0
0
0
8
0
16
16
16
0
0
0
8
6
6
1
0
0
1
1
0
10
10
10
16
0
0
0
24
0
0
0
0
24
2
2
18
0
0
0
4
8
8
0
0
0
1
1
1
0
1
2
2
0
0
1
2
0
16
16
16
6
16
4
4
4
4
16
0
0
0
0
24
24
16
16
0
8
0
0
8
8
0
8
8
16
0
0
8
8
8
2
8
0
0
16
8
2
8
8
0
0
0
0
0
0
2
2
2
2
2
8
4
16
16
8
0
0
0
0
0
0
0
4
8
8
16
16
16
0
0
0
0
0
12
16
0
0
1
1
16
16
0
0
16
16
16
0
16
16
8
4
0
0
0
9
9
9
9
9
1
1
5
16
0
0
0
24
2
0
1
1
1
1
1
4
0
0
0
2
0
0
16
16
8
8
0
0
9
0
0
8
8
8
8
2
2
2
2
8
0
0
0
0
8
2
0
16
2
5
4
4
4
4
0
8
8
8
0
0
4
4
0
0
0
2
0
16
16
16
8
8
0
14
14
4
0
24
0
0
0
0
0
0
2
2
16
16
18
24
24
24
24
24
24
24
0
0
0
12
0
0
0
0
8
0
16
24
4
8
8
0
8
8
0
0
0
0
16
0
0
16
11
10
10
0
0
0
0
0
0
0
0
0
8
8
8
8
16
0
24
24
24
8
0
4
28
0
0
0
0
0
16
1
1
0
0
24
8
8
0
0
8
16
0
0
0
4
0
8
1
1
1
0
0
16
9
1
0
0
18
18
16
0
0
8
8
8
8
8
4
4
4
20
0
0
1
1
8
8
8
8
0
0
16
0
16
1
1
1
1
0
0
0
24
0
16
16
1
1
1
8
17
0
8
8
0
1
3
0
8
8
0
0
16
0
0
0
16
0
0
16
1
1
0
0
0
1
1
0
0
4
16
16
16
8
0
10
0
0
16
16
16
16
16
16
16
20
20
20
4
0
12
12
8
8
8
8
8
9
0
0
16
16
8
16
16
6
6
16
8
8
8
2
0
0
0
10
8
8
0
2
2
10
8
8
8
8
8
8
0
8
0
2
0
16
2
0
8
8
8
0
0
8
0
0
8
16
0
0
0
2
2
2
4
0
16
16
8
8
0
0
0
16
16
0
8
1
1
0
0
0
4
4
4
4
0
8
0
16
32
32
32
0
0
0
0
0
16
2
0
0
8
16
16
0
18
0
0
8
0
1
0
1
4
16
8
8
4
0
0
16
16
2
0
16
4
16
26
26
26
16
0
0
0
8
4
8
8
0
2
0
0
16
16
16
16
8
8
1
8
0
16
0
0
4
24
20
0
8
2
0
0
0
16
0
0
0
0
0
8
1
0
0
0
8
16
0
0
16
1
0
0
8
16
16
16
0
0
0
0
0
0
20
18
0
0
0
8
8
8
8
0
8
2
2
8
4
8
8
8
8
8
8
16
16
0
0
16
8
8
8
8
8
0
0
0
0
0
16
0
0
2
2
16
8
8
0
8
0
16
20
16
0
0
0
16
16
8
8
4
26
8
8
8
0
0
16
16
16
16
16
8
8
4
4
0
0
0
0
0
20
4
1
1
0
8
16
4
4
16
2
1
1
1
40
40
8
0
6
2
8
0
0
0
0
11
8
20
0
0
8
0
0
0
8
0
0
18
18
0
0
1
16
0
0
4
16
16
2
4
4
4
16
0
48
16
0
16
0
0
8
8
16
16
16
24
0
0
2
0
16
0
0
0
0
38
8
8
8
16
8
8
8
0
0
0
16
8
0
8
16
44
32
32
24
24
24
8
16
8
8
40
8
8
0
8
1
24
16
0
0
0
0
0
0
0
16
16
0
0
0
0
16
16
8
0
17
17
17
0
0
8
0
0
0
0
0
32
32
32
4
4
4
0
0
8
4
2
2
2
8
21
16
0
0
0
0
0
0
8
8
0
8
8
8
8
8
8
8
0
0
4
1
1
1
1
8
8
4
0
0
0
4
4
32
0
0
0
0
0
1
1
0
0
0
0
2
0
0
4
0
16
0
0
0
8
2
6
4
4
0
0
20
0
0
0
0
0
0
0
1
0
16
16
16
8
0
0
16
8
0
0
16
32
32
32
16
16
8
16
0
41
0
0
0
48
48
8
8
8
8
8
16
0
0
2
8
0
0
0
0
2
2
0
0
0
16
16
24
16
16
24
0
8
12
0
0
0
3
0
48
48
48
8
8
16
16
9
9
9
9
9
1
1
1
1
1
0
0
0
8
0
1
0
1
16
16
16
16
0
0
16
0
0
0
0
0
1
1
17
17
0
1
8
8
0
8
16
0
0
8
8
8
0
0
0
8
8
16
0
32
32
0
8
8
8
8
8
0
0
0
0
1
2
0
8
8
0
16
1
8
0
0
16
16
8
8
8
8
0
0
0
29
8
8
8
0
4
2
8
8
16
0
0
8
16
8
0
1
1
1
8
12
8
8
8
0
8
8
0
8
4
8
0
4
0
16
0
0
16
1
1
0
8
8
0
0
0
8
8
20
0
8
14
14
16
0
0
32
8
24
2
8
8
0
0
0
0
0
32
1
1
8
8
0
16
16
16
8
1
1
16
0
16
1
1
1
0
0
8
0
8
0
0
0
1
8
0
8
0
0
4
4
4
16
16
0
0
8
8
4
0
8
20
0
16
4
4
4
4
32
0
0
20
16
12
8
8
8
8
8
8
0
0
8
0
4
4
24
24
9
6
0
0
16
0
24
8
16
0
4
4
0
0
0
0
0
0
8
0
12
12
8
8
37
37
37
37
37
16
8
8
8
1
4
4
4
16
0
0
0
0
0
0
24
16
16
16
16
2
8
8
8
0
32
24
24
0
16
0
0
0
0
4
0
16
16
16
16
16
20
20
20
4
4
4
4
4
8
8
2
2
2
0
26
4
4
4
0
0
0
0
40
0
0
2
8
8
0
0
0
0
0
0
8
24
8
0
16
16
0
8
8
16
0
8
8
16
0
32
32
32
8
1
1
0
8
0
4
4
0
4
2
0
8
8
8
8
8
8
8
16
0
0
1
16
0
8
8
0
0
0
0
0
16
0
0
1
12
0
8
16
0
8
8
8
0
0
0
0
16
16
24
24
1
2
2
0
0
16
0
16
16
0
0
0
16
24
4
4
4
0
8
0
0
1
8
8
8
8
16
4
8
8
8
2
0
0
0
8
2
2
0
0
0
0
8
8
8
8
28
28
28
0
0
0
2
0
0
0
0
0
1
1
0
0
0
16
16
16
0
0
0
8
4
24
4
22
22
40
0
1
1
1
1
16
16
8
6
4
0
0
1
1
0
0
16
16
1
8
0
0
0
16
1
0
0
25
25
0
32
32
0
9
9
17
1
8
0
0
1
0
0
2
2
2
0
0
4
8
8
10
8
0
1
1
1
8
0
32
32
8
17
17
8
8
0
16
16
0
4
8
0
0
0
0
0
0
0
8
8
0
16
2
2
2
2
6
16
16
16
2
16
17
17
0
0
1
16
16
16
18
0
4
8
8
0
0
0
0
0
0
0
0
16
16
8
0
0
8
8
1
1
0
0
16
24
0
17
0
0
0
0
8
2
8
0
8
8
8
8
8
0
16
16
8
8
8
12
1
16
16
0
0
0
0
0
0
0
0
0
0
0
8
8
4
16
16
16
16
16
16
0
0
16
1
0
0
0
0
0
0
0
0
16
16
24
0
0
0
8
0
16
1
1
1
1
6
0
4
0
4
4
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
16
0
1
1
16
16
16
2
0
4
4
4
16
16
40
24
24
0
0
0
0
32
0
8
24
8
16
8
8
16
16
16
16
0
4
1
32
0
2
0
0
9
16
16
16
2
2
32
2
0
8
12
8
1
16
16
16
16
0
0
0
8
8
8
8
8
8
8
8
8
0
4
8
8
0
0
16
8
8
0
0
8
0
0
0
0
0
0
4
8
12
0
8
0
0
1
0
0
0
0
4
4
8
8
24
32
8
8
16
16
16
16
0
14
16
8
0
0
0
16
0
0
0
0
0
0
8
1
1
1
1
24
24
1
1
32
32
32
32
32
32
32
32
32
32
32
32
32
28
0
0
0
0
0
0
2
2
0
8
24
24
24
8
8
8
0
0
16
16
16
8
0
8
0
2
0
0
0
0
0
8
8
8
8
4
26
26
16
0
0
0
0
0
0
8
16
8
8
8
35
16
16
16
16
16
16
33
33
1
0
0
0
1
0
0
16
0
0
8
8
8
8
8
0
0
0
0
8
0
0
32
32
8
0
2
0
4
4
18
18
8
8
16
0
2
0
0
0
16
8
8
8
8
8
8
4
4
0
0
0
0
26
0
16
0
1
1
0
0
2
1
10
4
0
2
0
16
4
32
0
1
1
1
1
12
9
8
0
2
2
16
0
0
16
8
8
0
16
0
4
4
8
6
6
0
0
20
16
16
0
0
0
8
16
8
5
32
8
24
2
20
20
20
24
0
8
10
10
10
0
5
5
5
5
5
8
26
0
0
0
0
8
0
0
0
0
0
0
0
0
4
4
4
4
5
5
0
0
0
8
8
0
0
4
4
4
0
0
8
24
24
0
0
0
1
0
0
0
0
8
8
16
4
40
6
0
0
0
0
4
0
0
8
0
4
40
40
32
32
16
0
0
8
8
20
1
1
1
24
24
0
8
0
2
0
0
16
16
8
8
0
0
8
8
0
0
0
8
8
8
0
6
16
16
0
0
0
0
0
0
4
0
16
16
16
16
16
16
0
0
0
0
0
0
0
0
16
16
0
8
8
0
17
2
0
17
55
1
24
24
24
16
0
0
8
24
16
0
0
16
16
16
0
4
0
0
2
0
1
4
8
8
12
12
8
21
2
8
0
0
2
2
2
8
9
0
17
8
32
0
0
0
0
4
4
0
0
0
0
0
1
2
0
0
0
0
16
16
16
4
8
2
8
18
1
0
0
0
8
8
0
0
0
0
0
0
8
8
0
0
0
0
26
26
8
0
8
0
8
0
0
8
8
0
8
8
8
8
8
8
16
16
32
32
0
17
0
14
4
32
32
32
32
32
32
0
0
8
8
8
4
4
10
16
0
0
0
0
0
16
20
16
16
16
16
16
0
0
16
48
16
48
16
8
8
0
0
0
0
24
16
0
16
8
0
0
0
0
0
4
12
16
16
0
0
0
16
16
16
0
0
8
20
20
0
0
0
0
0
16
16
0
0
0
0
16
16
16
16
8
2
0
58
0
0
0
0
0
8
8
8
8
0
1
8
9
9
8
0
8
8
0
14
8
16
16
8
8
8
8
8
0
0
1
1
57
2
8
1
8
8
8
8
16
16
24
8
0
0
0
8
12
8
9
8
8
24
24
0
0
24
24
0
8
8
8
8
8
0
20
20
1
1
9
0
17
17
0
0
0
0
0
0
0
0
22
0
0
16
16
18
0
8
4
0
0
8
24
1
16
0
0
0
0
4
4
4
17
16
0
0
8
2
2
1
0
17
8
8
16
32
2
2
0
9
8
4
0
0
0
0
16
8
16
16
16
0
0
8
8
4
0
0
0
16
16
16
16
16
16
0
2
2
2
2
2
2
2
0
12
12
0
0
0
0
0
0
0
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
32
32
32
32
32
32
0
0
0
1
16
4
4
16
16
16
52
1
48
8
8
16
0
0
0
0
4
4
4
4
8
8
0
0
9
9
8
16
16
4
20
20
16
16
16
16
16
16
16
8
8
8
8
4
17
17
31
31
31
31
8
8
2
0
8
8
0
0
0
8
8
32
56
4
2
2
0
0
0
0
0
0
8
0
0
8
8
8
8
4
4
0
0
0
1
8
8
8
8
8
8
8
8
8
11
0
0
3
3
0
0
8
0
0
8
4
0
8
6
6
6
0
8
8
18
8
2
0
16
0
0
1
16
16
16
16
16
8
32
32
0
26
0
0
0
0
16
16
32
8
2
4
8
8
8
0
0
0
2
2
2
18
18
46
0
16
8
8
0
4
8
24
1
4
0
0
0
1
16
16
2
0
16
16
8
8
0
0
16
0
0
32
0
0
0
8
8
8
0
0
48
16
16
0
8
8
56
20
0
16
0
2
8
8
0
0
8
8
8
8
8
8
8
8
0
38
36
4
4
0
16
1
16
0
8
20
20
20
1
1
4
0
0
0
0
0
0
0
0
0
0
0
0
2
0
17
2
2
1
1
8
8
2
2
2
2
2
2
2
0
0
0
4
4
4
0
0
0
0
8
0
8
0
0
16
8
26
26
0
0
8
17
17
0
0
0
16
2
8
8
0
0
0
8
8
16
24
24
32
8
23
23
0
0
0
0
0
0
2
2
0
0
8
8
8
16
4
4
4
56
0
2
0
0
8
0
4
8
8
8
8
2
0
8
8
0
0
0
0
0
0
0
16
8
4
4
16
16
16
16
0
8
8
0
4
0
4
12
0
2
0
0
16
1
0
0
1
1
1
0
8
16
16
8
8
8
4
16
0
3
2
0
16
8
8
8
0
8
0
0
8
0
0
32
32
8
3
0
0
0
1
0
0
0
0
0
8
16
2
0
0
0
16
0
16
16
0
2
2
2
0
0
32
32
0
16
16
8
0
0
0
16
2
10
10
10
10
10
0
0
0
0
0
0
16
0
8
8
8
8
8
8
0
0
0
8
0
0
16
16
16
0
0
16
0
0
16
16
0
16
0
0
0
0
10
8
0
32
32
17
17
16
8
8
0
8
0
0
0
1
0
0
0
0
0
0
0
0
16
16
16
8
8
16
32
32
32
0
0
8
16
4
4
0
1
0
8
16
16
16
16
16
4
2
0
0
4
4
0
32
16
16
16
16
16
16
20
1
1
0
0
0
16
16
0
0
0
0
0
0
0
0
16
16
16
16
0
16
18
10
10
10
8
8
8
8
8
8
0
8
8
0
0
0
16
8
16
2
0
0
0
0
16
8
8
0
0
0
0
0
0
0
0
16
8
0
0
4
24
1
8
8
8
8
8
8
8
8
8
9
1
2
2
0
0
0
8
0
0
0
0
0
0
16
4
1
1
12
12
8
16
16
8
8
4
0
0
8
0
0
0
2
2
16
16
16
0
32
0
0
8
8
1
32
32
32
13
0
24
34
34
34
34
12
12
12
12
0
0
0
0
0
0
0
0
16
0
0
0
1
0
1
8
8
8
16
6
6
0
9
16
4
3
3
0
0
0
8
16
16
0
5
2
26
2
2
0
0
0
0
8
0
0
8
0
1
16
8
0
16
16
8
8
16
0
8
18
32
32
32
0
0
8
1
0
8
2
8
8
8
8
0
8
6
0
3
3
3
0
0
12
12
0
1
0
2
8
16
8
8
0
0
16
0
8
0
4
4
8
32
0
0
0
0
8
16
0
0
0
1
8
8
0
4
4
4
4
8
0
0
8
0
4
4
1
4
4
0
1
16
0
8
1
40
40
40
16
0
0
0
0
0
0
0
0
0
0
0
0
5
1
16
0
0
0
0
0
2
8
3
3
3
3
8
8
1
8
8
2
0
16
16
24
0
0
0
0
16
8
2
0
9
0
8
16
16
0
0
0
8
0
4
8
12
0
0
0
0
0
16
0
0
4
8
8
24
0
16
0
0
8
10
4
9
9
0
0
8
8
8
21
21
8
8
0
0
8
34
8
0
1
1
1
1
0
0
0
0
25
16
8
0
8
0
0
8
0
0
1
1
8
8
8
8
8
0
0
0
0
0
0
0
8
27
2
2
16
0
0
0
4
8
0
0
0
0
0
0
0
0
16
16
16
8
0
0
24
0
0
0
0
1
1
0
0
8
0
0
0
0
40
40
8
8
8
0
0
8
0
0
8
16
16
16
16
10
10
10
10
41
16
0
0
0
16
16
16
16
8
8
8
8
8
6
0
12
0
17
0
0
2
16
16
0
28
1
16
16
0
8
0
0
0
0
0
8
8
4
18
4
0
1
8
8
16
16
8
8
8
8
24
4
16
0
8
8
8
8
0
0
0
16
8
8
8
8
8
8
8
0
0
0
0
16
0
0
0
0
24
24
16
32
32
0
16
8
8
0
0
16
8
0
0
0
0
1
8
0
32
32
32
1
1
0
0
0
0
16
16
16
8
2
0
0
1
1
1
1
1
8
8
8
8
0
0
26
4
4
6
6
16
4
0
1
1
4
4
4
8
8
16
0
0
1
0
0
4
0
0
16
0
0
0
0
16
8
0
16
2
0
16
20
0
0
0
8
8
0
4
56
56
56
0
0
24
24
16
16
16
3
3
1
2
4
0
8
8
8
0
0
0
4
4
0
0
0
0
8
0
0
0
16
41
41
4
0
0
0
0
12
9
9
8
1
1
0
0
0
16
0
8
0
1
1
14
0
0
8
8
8
8
8
16
16
0
0
0
0
0
4
0
0
4
12
12
4
20
4
39
8
0
16
8
8
8
0
1
40
8
4
0
5
5
0
0
16
8
0
2
2
2
2
0
16
0
0
0
0
0
0
0
0
1
1
32
0
16
16
14
8
0
0
0
0
0
16
16
0
16
16
16
16
16
16
2
2
0
0
9
9
9
0
0
0
16
16
0
0
0
16
16
8
8
0
4
8
0
16
0
0
25
0
8
8
8
0
28
0
0
0
1
0
1
0
0
16
24
24
8
8
0
16
8
8
8
8
8
8
8
8
4
8
8
4
48
0
0
0
17
16
0
16
16
16
16
41
41
1
0
1
1
0
1
16
4
4
0
8
4
4
16
16
0
0
4
8
12
12
8
8
8
8
2
2
0
0
8
8
0
0
0
6
16
16
16
16
8
8
0
0
0
9
0
0
8
8
2
1
0
1
1
8
0
0
20
20
20
0
8
1
1
24
8
16
8
8
32
16
0
0
0
0
0
1
1
1
8
8
8
8
16
4
1
34
16
4
0
0
0
0
0
8
16
16
0
0
0
0
4
0
40
8
8
8
4
32
16
16
0
0
0
0
16
16
0
0
0
0
8
8
8
8
0
0
0
0
2
0
0
0
0
0
1
8
0
8
0
0
0
0
0
4
0
40
0
16
16
0
0
0
0
0
2
0
0
0
0
1
0
0
16
8
8
8
0
8
2
0
0
0
0
0
0
0
1
0
32
16
8
8
8
8
8
16
8
8
8
2
0
24
17
0
16
16
16
0
0
0
10
16
0
1
8
8
0
0
8
16
16
5
32
16
1
0
8
8
8
8
0
0
24
8
8
8
2
0
4
17
0
0
16
16
0
0
9
0
0
0
0
16
1
0
0
0
0
0
16
0
0
4
0
0
0
8
4
0
16
32
32
0
0
0
0
16
17
0
0
0
0
6
6
8
9
9
9
2
2
2
8
24
24
16
8
8
8
2
2
2
0
8
8
8
0
0
8
8
8
8
8
1
8
4
8
16
8
8
8
8
20
0
16
16
16
24
0
0
16
16
14
24
8
2
0
20
8
0
0
0
16
2
2
2
0
0
0
0
0
0
0
0
2
8
8
8
8
8
8
8
8
8
8
0
0
8
8
8
0
0
0
16
0
0
0
8
0
16
8
8
0
0
0
8
6
0
0
8
0
0
48
48
48
48
0
16
16
1
0
0
9
9
9
4
4
48
48
0
0
0
3
4
4
0
8
0
24
24
8
0
0
40
0
0
0
0
2
16
1
8
16
0
0
0
8
0
0
0
0
0
0
4
1
1
0
0
0
16
16
16
16
8
0
0
0
0
0
8
8
0
0
0
0
0
16
0
0
0
8
8
0
20
20
20
20
20
2
2
0
0
8
8
33
33
1
8
8
0
4
0
0
0
0
24
8
8
8
2
2
0
0
8
8
0
0
0
20
0
0
8
8
0
0
0
0
0
0
0
0
0
0
4
24
8
8
16
16
0
0
0
0
0
0
0
0
8
0
8
0
0
8
0
0
1
8
0
16
16
0
0
0
8
8
8
10
10
4
24
24
24
0
8
8
4
0
0
8
8
0
0
16
16
16
16
0
4
4
20
16
0
0
1
0
0
8
16
16
0
0
8
1
8
0
0
4
0
0
0
8
8
4
2
0
8
8
0
0
8
16
0
8
8
8
8
0
0
0
0
16
8
8
16
16
16
16
32
32
16
24
24
24
0
0
16
0
0
9
8
4
16
17
0
0
0
0
0
25
9
8
8
16
0
0
8
2
16
8
8
13
0
18
18
18
16
16
8
8
8
0
4
0
0
0
0
0
0
0
0
2
2
8
8
8
8
0
4
4
8
4
0
16
27
27
32
0
0
0
32
0
0
0
0
0
0
2
2
0
0
0
22
0
0
0
0
16
16
0
8
24
3
8
8
0
10
2
17
17
17
17
0
16
6
4
4
8
0
0
16
16
8
8
8
0
0
0
6
6
0
16
0
0
0
0
5
24
0
16
0
0
0
8
0
0
8
0
0
0
0
8
16
16
16
0
0
0
0
0
2
0
8
8
8
16
8
4
8
8
16
16
16
6
6
0
16
16
8
13
2
0
0
0
0
16
16
16
0
0
8
0
0
8
0
0
0
16
16
16
8
0
1
1
16
2
24
0
24
8
2
2
16
8
8
1
1
1
1
1
8
0
8
8
8
8
0
8
8
8
0
0
4
4
1
1
1
1
8
0
16
0
0
0
0
0
1
1
0
0
16
0
8
8
0
28
0
8
0
0
16
16
16
0
0
4
4
0
0
0
16
0
0
8
8
8
1
0
0
0
0
8
4
8
8
8
8
4
8
0
0
1
2
2
0
16
0
0
24
16
16
32
0
16
16
2
2
8
0
0
0
0
0
17
8
8
8
0
8
0
0
0
32
32
0
0
0
0
1
0
1
8
8
0
0
0
32
32
32
32
32
0
8
0
16
16
8
0
0
16
0
8
8
8
8
16
0
16
8
0
16
2
2
2
8
8
0
8
8
32
32
16
2
6
4
4
0
0
8
0
16
8
8
8
8
8
4
8
8
16
36
0
0
0
17
0
0
16
16
16
2
8
0
0
32
0
0
1
32
4
16
0
0
0
0
4
32
8
0
0
0
1
1
1
1
1
0
0
8
0
18
0
0
8
8
8
8
8
8
12
8
0
0
4
40
0
0
16
16
16
40
2
16
16
0
24
21
0
0
20
1
0
0
0
0
0
0
10
8
0
0
0
0
12
31
2
8
20
4
0
16
16
16
0
0
0
0
0
0
16
16
2
2
8
0
0
0
0
0
0
0
1
1
1
0
2
4
4
0
1
1
1
1
1
1
16
16
16
20
16
0
0
0
0
0
20
1
1
0
0
0
0
0
4
16
1
24
16
24
24
0
0
0
8
8
8
17
0
8
0
8
8
0
41
41
41
16
8
4
4
0
16
16
2
17
36
4
0
0
0
0
0
20
16
0
42
42
8
8
8
16
16
16
16
16
16
0
0
0
0
0
4
2
0
18
0
0
4
24
24
0
0
0
0
8
16
0
0
8
0
0
4
4
0
0
0
0
0
0
0
16
1
9
8
8
24
24
0
8
16
16
16
12
12
16
8
8
16
0
9
0
0
4
0
4
8
8
8
16
16
0
4
16
8
24
0
0
8
8
16
16
0
8
0
0
0
2
16
9
0
0
0
8
0
0
0
0
0
0
0
0
8
8
8
1
8
0
0
1
32
32
0
0
2
2
2
0
0
0
16
16
0
16
16
16
16
16
2
2
0
0
8
8
8
0
8
0
0
8
8
8
8
24
24
24
24
24
24
16
1
0
0
0
0
1
8
32
2
2
4
16
0
0
17
0
8
8
4
4
16
16
16
16
18
2
2
0
0
8
0
0
0
0
1
9
4
0
0
0
0
8
8
8
8
8
0
16
26
26
1
1
9
1
0
0
0
0
0
0
0
0
0
16
0
0
4
8
16
28
0
0
0
0
0
0
0
8
0
0
0
8
0
0
0
0
8
0
16
16
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
4
16
16
16
0
0
16
0
8
8
8
0
0
16
16
9
0
0
0
0
0
0
1
1
1
1
6
8
61
0
4
4
4
16
1
1
1
1
1
1
8
16
8
8
16
0
8
8
8
8
8
8
16
8
8
8
5
0
8
8
8
16
16
17
0
16
16
16
16
16
0
16
32
0
40
8
8
4
4
8
16
16
0
0
8
8
8
20
8
8
8
8
0
0
16
16
16
0
1
0
0
0
0
0
8
24
0
0
0
8
8
0
0
0
0
0
8
8
0
8
8
16
4
4
8
8
0
0
4
4
6
0
1
1
1
1
1
1
16
0
0
0
0
32
16
16
0
16
16
1
8
16
16
8
0
0
0
0
0
8
0
0
0
16
1
0
0
32
8
2
2
28
0
0
0
16
0
0
24
16
0
0
0
1
16
8
8
8
8
8
8
8
16
0
0
0
0
0
0
16
16
2
8
17
1
24
24
0
16
16
17
17
27
16
16
0
0
16
2
0
8
2
2
24
0
4
0
8
0
2
16
16
16
16
0
0
0
0
0
8
8
8
1
8
0
8
0
0
16
16
16
16
16
0
8
4
8
8
8
1
32
0
0
0
0
8
0
0
4
0
4
4
0
27
0
16
8
8
32
32
32
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
4
4
16
16
16
0
0
0
0
16
16
12
12
8
0
0
16
0
0
0
0
1
2
1
1
1
1
20
20
0
16
16
16
4
4
0
0
0
0
4
0
1
0
16
2
2
16
0
0
8
6
32
32
8
4
23
23
16
16
16
16
8
8
16
16
16
16
16
16
16
16
1
0
0
8
4
4
4
24
0
0
0
4
4
4
0
8
8
8
0
24
24
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
8
16
0
8
0
32
32
8
8
0
0
0
0
4
8
8
0
12
8
32
8
0
2
4
4
0
0
0
12
12
12
2
8
8
0
8
8
8
8
8
8
8
8
0
16
32
8
0
8
8
16
0
0
0
0
0
0
8
0
16
8
16
16
16
4
4
4
4
8
8
0
8
8
0
32
32
0
0
8
8
8
0
3
4
8
16
2
2
0
0
0
16
16
1
1
2
8
0
0
16
16
4
8
8
8
24
24
32
32
8
0
8
1
0
16
17
6
8
2
18
0
16
1
1
0
0
4
4
2
33
41
0
49
16
1
1
0
0
0
16
0
0
0
8
0
0
16
16
0
8
20
24
8
0
0
0
16
16
0
0
1
1
8
0
0
0
8
0
0
4
4
0
0
16
16
0
0
0
4
4
8
8
8
2
8
32
16
16
16
8
1
8
8
0
17
8
8
0
1
1
1
0
0
4
0
16
0
0
2
32
32
0
0
0
0
0
8
16
16
16
9
0
0
16
1
0
8
0
4
4
16
1
0
0
0
0
0
0
8
0
0
8
0
0
0
2
0
1
8
0
26
32
0
0
32
0
0
0
0
8
0
0
0
0
0
9
9
16
0
2
1
16
0
0
0
0
0
0
0
0
16
20
8
8
0
16
0
0
8
12
12
4
1
0
0
0
0
4
0
16
0
16
8
8
8
8
0
5
0
2
2
2
2
16
0
16
8
0
8
8
0
0
8
0
0
24
24
24
16
0
0
8
8
13
16
0
0
0
0
8
8
8
0
16
0
0
0
22
1
0
0
8
8
8
0
8
0
0
8
8
8
8
8
0
0
0
0
8
0
0
0
0
0
0
0
2
0
0
16
9
9
9
16
16
16
16
16
8
8
4
4
0
0
0
0
16
4
8
0
0
4
4
4
4
8
8
8
0
8
8
16
16
0
1
16
8
0
32
8
2
2
0
0
0
0
4
4
0
2
24
32
32
0
8
0
0
24
0
0
0
8
0
0
0
0
0
0
0
0
16
1
8
18
18
2
0
0
0
0
8
33
16
16
16
16
8
16
0
0
2
2
0
12
17
20
20
20
0
0
0
16
16
16
16
0
0
1
16
0
8
8
8
8
8
0
0
0
4
0
8
8
8
8
8
8
8
8
0
0
0
12
1
16
8
8
0
0
8
0
8
0
0
0
0
24
16
3
16
24
24
24
24
24
4
4
4
1
16
8
8
16
0
0
0
0
0
0
0
16
0
4
4
16
16
1
1
1
1
1
1
1
0
0
8
16
8
8
0
8
8
0
16
0
4
0
0
16
9
0
0
0
0
28
4
8
8
12
12
1
1
0
0
1
8
13
0
0
16
0
0
0
0
0
0
0
16
0
0
0
0
2
8
0
0
32
0
24
0
1
16
8
2
8
8
8
8
8
8
8
8
8
8
8
8
8
2
0
4
0
0
0
16
0
0
8
0
0
0
0
0
0
11
11
8
0
4
0
16
2
8
0
0
8
35
35
1
4
4
16
16
2
2
0
0
17
0
0
0
32
16
16
10
10
10
10
10
32
16
8
8
0
16
0
8
8
8
0
8
8
0
0
17
0
40
0
8
8
2
2
2
2
2
2
0
16
8
8
8
0
0
8
8
8
24
8
0
16
1
0
0
0
0
0
0
0
0
0
0
0
0
8
0
1
16
16
8
16
16
16
16
16
16
16
2
2
0
8
0
0
0
0
0
0
17
17
16
16
8
16
16
16
16
16
16
8
8
0
0
0
0
0
12
1
0
0
0
0
0
1
16
16
16
16
16
17
17
8
8
8
8
16
16
16
16
16
16
0
0
28
28
28
4
4
0
8
16
16
16
0
0
0
0
8
8
0
1
17
0
16
8
0
0
0
4
0
0
16
16
8
8
0
0
0
6
6
28
8
0
0
0
0
0
9
9
0
1
0
16
8
8
8
0
0
16
8
4
16
16
16
32
32
2
16
16
0
0
0
0
0
0
0
0
2
0
0
0
8
0
8
16
16
1
4
8
16
16
16
0
16
16
0
0
0
0
0
0
0
26
8
0
0
0
8
8
8
0
0
0
0
8
16
8
8
8
0
0
2
16
0
0
0
0
0
16
0
0
0
0
0
8
0
0
16
16
16
0
0
8
8
0
1
0
0
16
16
17
16
16
16
16
16
0
33
33
8
0
0
0
0
0
2
2
2
32
32
0
0
4
4
0
0
8
1
1
1
1
1
1
1
1
1
1
1
1
0
4
0
0
16
16
0
0
0
0
12
4
4
8
2
0
8
8
16
24
0
0
0
4
0
0
0
0
0
0
0
24
24
0
32
8
0
32
0
0
0
0
16
16
0
0
8
8
0
16
16
8
0
8
8
16
4
4
4
4
4
4
8
8
8
0
0
1
1
0
0
8
8
8
16
8
16
16
16
16
22
1
8
8
8
0
1
0
0
16
16
16
16
16
8
8
2
2
16
0
0
0
0
0
0
0
0
4
0
0
16
0
48
48
16
16
16
16
8
8
0
0
0
58
4
4
4
0
0
8
32
0
0
0
17
0
0
1
0
0
6
0
32
32
0
8
16
0
0
0
16
16
16
0
0
0
0
0
16
18
16
0
0
16
0
8
16
16
16
16
16
16
0
1
1
0
0
2
0
16
16
8
2
16
16
16
23
23
23
0
0
0
1
0
4
16
0
0
0
0
8
8
16
4
0
0
0
0
0
4
4
8
8
6
8
0
0
0
16
16
4
16
16
16
16
0
0
0
0
4
0
0
0
0
8
20
20
0
24
24
24
24
24
24
8
8
8
16
8
8
8
16
0
8
0
16
0
0
0
0
0
8
8
0
0
4
4
4
4
0
0
0
0
4
4
0
0
10
10
2
2
40
1
1
0
0
0
0
0
0
0
0
8
8
16
12
12
0
16
8
4
4
0
0
0
0
0
8
1
1
1
4
4
16
16
8
8
16
0
0
20
8
24
24
24
0
16
0
0
16
16
8
16
16
0
8
0
0
16
0
1
16
4
4
0
0
0
16
0
1
1
16
16
16
16
8
2
16
16
8
8
0
0
8
8
8
4
0
0
0
16
8
4
8
8
8
0
0
24
0
0
0
0
0
8
8
8
8
8
8
8
0
0
16
0
0
16
0
1
4
0
0
0
16
16
4
0
0
4
32
32
0
8
8
18
16
16
16
16
0
0
0
0
0
0
32
32
0
2
16
0
16
4
4
4
4
4
24
4
0
0
0
0
0
0
8
16
8
8
2
0
0
0
0
1
1
17
8
2
8
8
0
1
0
0
0
0
0
4
16
0
0
16
4
0
0
0
0
0
16
16
24
28
0
0
24
16
16
16
16
8
0
0
0
16
16
8
0
8
0
0
0
8
8
0
16
0
16
0
0
40
40
40
16
4
4
4
4
4
16
16
2
2
2
2
24
0
8
0
8
16
16
26
26
2
2
0
2
2
0
2
0
0
0
1
0
24
8
8
0
32
32
32
0
16
16
0
22
22
22
8
0
2
0
0
0
0
0
8
8
0
8
8
0
8
0
0
2
0
0
0
16
16
8
8
4
4
4
8
0
16
8
0
0
8
8
8
8
8
0
21
4
0
8
1
0
0
8
8
16
16
16
0
36
32
8
32
16
16
0
1
8
8
2
4
4
0
2
0
16
8
18
18
0
0
0
0
0
0
0
0
0
8
8
32
32
32
0
8
16
16
8
0
0
8
8
8
16
16
16
16
8
8
8
8
0
16
16
16
16
0
2
2
0
0
0
0
0
8
0
4
4
4
36
36
4
6
0
16
0
0
0
0
0
32
16
24
8
8
8
0
0
8
8
0
8
8
8
8
2
2
2
2
8
8
4
16
16
8
8
16
16
0
16
16
16
56
16
16
16
0
0
0
1
16
16
16
16
16
0
32
32
0
0
1
1
0
0
0
16
16
3
3
32
0
4
4
4
0
16
0
0
17
16
16
8
0
4
16
16
0
1
8
8
4
4
16
48
48
0
0
0
0
0
16
1
0
0
0
0
8
0
0
16
4
0
0
8
0
0
16
16
16
2
2
2
4
4
16
16
8
8
0
8
2
0
0
16
16
16
16
16
0
0
1
1
0
20
8
16
0
0
8
8
8
0
0
0
4
8
17
16
8
2
8
8
8
8
0
0
16
16
16
16
16
0
3
0
0
1
1
0
20
20
0
28
16
16
16
32
32
32
32
8
0
16
4
0
32
0
0
16
16
16
16
1
16
2
24
8
20
8
16
0
0
0
0
16
8
1
0
0
0
16
16
16
0
0
8
0
8
16
0
0
0
8
0
16
0
0
0
4
4
0
0
0
0
2
10
18
18
9
1
0
1
1
4
16
16
16
16
0
0
16
16
16
16
32
4
4
1
4
4
4
4
1
0
16
1
8
8
17
2
16
16
8
0
0
0
8
0
1
0
32
24
0
24
4
4
0
8
8
8
0
4
0
0
8
0
8
0
0
0
0
24
8
0
2
19
0
0
0
4
0
15
15
44
44
0
16
16
16
0
0
0
0
0
16
16
1
8
0
0
0
0
6
0
16
0
0
24
8
8
4
4
0
0
0
0
0
0
16
1
1
0
0
8
0
0
0
0
8
8
4
8
8
0
0
8
8
16
8
8
0
0
10
10
10
4
8
0
0
16
1
0
0
0
16
16
16
40
0
0
10
8
8
8
4
4
0
1
0
0
8
0
0
0
0
8
8
0
0
24
4
20
2
0
0
0
0
0
16
8
9
9
0
0
8
0
0
0
0
0
16
8
24
1
1
5
5
16
16
16
8
8
0
16
4
0
1
8
2
17
24
24
0
0
0
0
16
0
8
0
1
1
0
0
0
0
0
25
4
4
0
0
0
18
18
18
0
0
0
4
8
0
2
8
8
17
2
0
0
16
16
16
16
16
8
0
0
40
40
1
1
16
0
0
8
2
17
0
0
0
8
0
8
8
9
16
0
0
0
8
0
0
16
2
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
0
16
24
0
16
16
16
16
0
0
0
16
0
8
8
8
8
4
4
0
2
18
8
24
8
8
8
0
8
8
8
2
5
5
5
0
0
0
30
8
8
0
16
1
1
1
2
0
0
4
4
0
2
9
32
32
3
8
0
16
4
4
32
32
32
8
12
0
0
16
16
16
16
0
2
16
16
4
16
16
0
8
8
0
16
0
0
0
0
4
8
0
0
16
0
32
8
4
0
0
0
0
0
16
16
16
8
32
17
17
17
0
0
0
1
0
0
0
0
0
0
0
7
0
8
8
8
8
8
8
8
8
16
16
16
16
1
2
0
0
8
1
1
4
20
0
0
16
0
25
8
8
8
8
1
0
8
8
8
16
0
8
8
8
0
8
8
16
0
8
16
16
16
2
2
2
1
4
4
8
0
0
0
17
1
1
1
1
16
16
0
0
0
0
0
16
0
0
0
0
28
0
0
8
4
0
0
16
4
4
2
2
6
12
4
0
0
16
24
8
0
0
4
0
24
24
16
16
0
5
5
0
0
8
8
0
16
0
0
0
16
16
0
0
8
16
16
16
16
0
16
16
0
0
1
0
16
0
8
8
0
1
2
16
26
17
0
0
0
1
1
16
4
4
4
4
4
4
4
32
32
32
16
16
0
0
0
8
2
8
8
16
24
20
16
16
0
0
0
0
16
8
8
8
0
8
0
0
4
1
4
0
8
0
0
4
0
0
2
0
0
0
0
8
8
16
16
16
0
4
0
16
16
16
16
16
8
0
8
0
0
0
0
0
16
16
17
8
8
8
8
0
8
1
1
6
2
2
2
16
0
0
0
8
8
8
8
0
16
8
8
0
8
4
4
0
0
0
0
24
0
0
0
40
16
8
8
0
0
0
0
0
0
0
0
0
0
0
0
32
16
2
16
16
0
0
16
16
16
24
8
8
0
9
0
16
16
0
32
2
2
8
0
24
24
24
0
2
16
0
8
8
0
6
0
0
0
8
0
0
16
0
0
0
0
0
0
16
16
16
0
0
0
0
8
1
8
2
0
0
0
0
0
8
0
4
0
0
0
8
0
8
0
8
40
32
0
8
0
16
16
0
24
24
0
0
4
8
16
0
16
0
0
0
0
0
0
0
0
20
20
20
16
0
1
2
2
4
4
8
16
16
1
4
0
4
4
4
4
0
0
8
8
0
0
0
16
0
0
0
1
1
1
0
8
8
8
0
16
0
0
0
0
16
8
8
16
16
16
2
2
8
0
0
16
16
0
8
0
0
0
8
0
0
0
0
8
0
8
25
25
29
0
1
16
8
4
0
0
0
0
0
0
0
0
0
4
32
0
0
0
17
8
32
0
0
0
0
0
0
12
8
8
8
36
0
0
0
0
16
16
16
16
16
8
4
4
0
8
8
16
16
16
16
16
16
16
16
0
0
0
8
0
0
4
0
8
0
0
0
14
0
4
8
8
8
8
8
0
0
0
16
16
16
16
0
3
0
1
1
0
8
8
8
8
4
4
0
8
0
16
6
6
0
0
0
16
24
48
48
48
8
0
0
0
8
4
4
9
9
9
8
9
16
16
2
2
0
0
8
8
10
8
4
0
8
16
26
0
0
0
0
0
1
1
28
0
9
32
0
0
0
0
0
0
2
0
0
8
8
57
4
4
4
0
2
2
2
0
1
0
0
0
0
0
4
4
2
16
8
0
16
8
0
0
0
2
0
56
0
1
1
1
0
0
0
0
0
8
1
1
0
0
16
16
16
8
0
0
32
8
0
0
0
0
24
0
0
4
4
0
32
4
4
4
4
16
0
4
22
4
0
1
1
2
0
16
16
0
0
0
0
2
34
34
34
0
16
16
16
16
16
0
0
0
0
0
0
0
0
8
8
0
0
0
16
0
8
0
0
2
2
2
8
8
0
1
2
2
2
2
16
0
0
12
8
0
0
56
8
8
0
8
0
17
4
4
8
0
0
0
0
0
0
16
8
32
16
24
0
0
8
8
0
8
8
0
0
0
0
8
8
8
8
0
8
8
0
8
8
8
0
0
0
0
0
0
0
0
0
0
16
0
0
0
8
8
0
8
8
16
0
4
4
4
16
16
16
0
0
0
0
0
5
5
0
16
0
0
0
11
11
16
2
0
0
0
57
50
8
0
8
16
16
4
19
0
0
0
24
0
8
16
16
16
2
32
32
20
16
1
33
16
16
16
16
0
9
0
2
0
0
16
0
8
0
8
8
8
8
8
2
16
16
12
12
12
12
8
8
16
0
32
32
8
8
8
8
8
8
8
26
26
0
16
2
8
20
4
0
2
2
0
8
16
16
16
16
16
16
16
16
16
40
24
16
0
0
16
16
8
8
8
8
8
8
8
4
20
41
8
16
2
8
0
0
0
24
8
24
0
16
20
1
1
16
9
12
12
16
16
0
4
4
4
4
16
2
2
32
0
23
23
23
0
0
0
0
0
0
16
16
16
16
16
8
8
1
0
0
0
2
2
2
5
0
8
16
0
8
8
0
3
0
8
0
32
8
0
0
8
0
0
24
8
0
0
0
8
8
8
8
8
16
16
16
8
0
2
2
2
2
16
1
0
0
4
4
16
8
8
8
16
16
16
4
34
8
8
4
0
8
0
2
16
16
16
16
16
16
0
0
0
16
8
1
1
8
0
8
8
8
8
17
8
2
0
0
0
0
0
16
8
1
0
0
0
0
8
8
0
0
0
8
0
8
8
0
8
8
8
8
8
2
0
20
20
16
16
16
16
4
16
16
9
8
0
0
8
0
0
0
8
16
8
4
4
4
4
8
9
0
0
0
0
0
0
24
0
0
16
4
8
8
8
8
32
6
6
6
8
0
0
0
4
4
4
8
10
8
1
1
59
59
20
8
4
0
0
8
24
8
8
8
8
2
4
8
32
32
33
8
4
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
4
8
8
4
0
16
16
16
8
0
4
8
8
0
9
8
8
24
16
16
8
0
0
0
0
0
0
2
16
8
8
0
8
10
10
4
0
0
0
16
16
24
2
2
2
8
0
0
0
9
9
9
0
25
25
25
4
6
24
0
1
0
0
0
2
0
16
24
8
8
8
8
25
0
4
8
8
8
16
16
16
0
0
0
0
16
16
8
16
16
16
32
0
0
0
0
0
0
0
24
24
24
24
24
24
24
0
0
0
0
0
16
8
16
26
8
8
8
2
2
2
4
8
8
8
8
8
28
24
0
32
0
22
1
1
18
0
0
0
0
0
0
8
20
20
0
16
16
4
4
0
0
4
4
3
11
11
24
0
8
8
16
0
16
16
16
16
0
32
16
16
16
16
0
0
0
0
0
16
16
16
16
0
16
0
0
17
17
17
2
8
8
0
0
18
0
0
0
8
24
24
16
8
8
0
8
0
0
0
0
0
0
0
0
16
16
0
0
8
8
16
16
8
0
0
0
0
0
24
8
0
16
1
8
8
0
0
0
0
8
4
4
4
4
4
1
8
8
8
8
8
1
16
16
16
4
0
16
0
0
0
0
0
0
0
0
0
8
0
0
0
0
4
4
4
4
4
4
4
4
8
0
0
0
0
8
0
16
8
8
8
8
8
8
8
0
24
24
16
0
8
8
8
0
0
4
8
16
0
6
6
16
16
0
0
8
2
0
0
0
8
8
8
8
16
0
9
8
0
0
8
8
0
0
0
1
1
16
40
16
16
16
8
16
8
8
0
0
8
8
16
8
0
1
1
1
0
8
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
6
0
0
0
8
8
8
8
0
26
0
1
0
53
0
16
16
16
8
0
16
8
16
8
8
8
4
4
21
20
16
9
9
9
9
9
16
16
0
0
0
0
0
0
8
2
16
0
0
3
8
0
34
8
0
8
8
16
0
16
8
0
0
0
0
0
0
0
0
0
16
0
1
4
0
0
16
16
16
16
0
0
0
0
16
16
32
0
0
24
0
53
0
0
1
8
8
0
0
0
0
8
8
8
22
1
0
0
0
1
0
0
4
1
1
0
0
16
8
8
8
8
8
0
0
1
1
2
16
16
16
0
0
0
16
8
0
0
8
4
4
4
8
8
8
8
16
8
0
8
25
25
4
16
8
0
0
0
1
1
4
1
1
8
8
8
0
8
8
9
16
16
0
16
16
0
1
2
0
0
8
8
0
0
0
0
0
0
8
8
0
17
2
2
2
1
8
0
8
16
44
44
48
8
8
0
0
0
0
8
8
8
8
0
0
16
8
4
4
0
0
0
0
1
1
1
16
16
16
16
12
8
8
8
0
0
16
24
2
0
1
1
1
1
1
4
1
1
0
0
16
1
0
20
0
2
17
30
30
28
28
28
16
16
16
16
0
0
0
56
56
0
24
24
24
2
2
8
8
24
24
8
0
18
32
0
0
0
0
0
0
0
16
16
16
16
0
0
2
2
0
16
16
16
0
32
8
0
0
4
20
20
20
20
2
0
0
0
0
0
0
0
0
0
38
0
0
16
16
1
2
32
16
8
10
1
1
8
0
0
8
8
8
16
32
0
0
0
16
16
33
0
0
0
19
1
4
16
16
0
0
2
0
8
8
16
0
0
25
4
0
2
2
0
0
26
0
8
8
8
8
8
8
16
1
1
16
16
16
16
0
0
16
0
0
0
0
0
0
8
0
0
16
8
8
8
8
2
2
18
2
16
16
16
8
3
2
1
1
1
16
9
32
16
12
8
8
16
8
8
0
0
0
8
16
16
8
8
0
2
4
0
16
0
8
0
0
0
0
0
4
4
4
4
0
0
16
48
0
9
0
0
0
0
0
0
4
4
4
20
8
8
16
0
1
3
3
3
0
0
2
32
32
32
32
32
8
8
8
8
24
32
16
16
0
48
0
0
0
24
24
24
24
24
24
0
0
8
8
0
0
0
4
8
0
8
0
32
32
0
0
0
0
0
0
8
8
16
16
0
0
8
8
0
0
16
16
8
8
16
8
8
16
0
0
0
1
8
8
8
8
0
8
14
14
14
14
14
8
8
2
2
4
4
4
16
8
16
16
0
0
0
2
2
2
2
0
0
0
0
0
16
0
8
1
16
16
2
2
32
32
32
8
16
8
8
16
8
8
8
1
1
1
0
0
2
0
0
4
8
0
0
0
4
0
16
16
0
0
0
0
16
0
8
8
16
0
0
2
0
16
16
8
8
8
0
0
0
0
0
1
1
0
4
1
8
8
8
8
16
8
8
0
0
16
0
0
0
0
0
0
0
0
0
0
1
1
8
8
8
8
0
0
8
0
8
4
8
20
2
8
8
0
16
0
0
16
16
8
4
4
1
1
1
4
8
8
8
0
0
16
16
0
8
8
8
8
0
0
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
20
18
18
8
16
8
1
0
24
24
16
8
0
0
8
8
0
0
0
8
8
8
8
0
0
0
0
16
0
44
1
8
8
8
0
0
16
4
0
8
0
0
32
32
0
0
0
0
0
4
4
4
2
0
0
0
0
8
8
8
0
0
8
0
0
0
0
0
0
8
16
8
24
16
8
8
0
8
8
8
8
8
25
8
32
32
0
32
32
8
16
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
8
8
0
21
0
0
0
1
17
17
8
1
8
8
16
32
16
0
0
0
0
0
0
16
4
4
0
0
0
8
8
32
32
8
16
16
0
1
16
0
0
0
0
0
0
0
0
0
0
8
32
8
8
8
8
0
0
0
0
2
2
2
2
0
4
0
16
8
16
16
0
0
0
8
0
0
0
0
0
17
3
8
0
8
16
8
8
0
0
4
8
8
0
0
8
8
0
0
0
16
16
16
32
0
0
0
4
16
0
0
0
32
32
8
4
4
16
16
16
0
16
16
16
16
8
0
8
8
8
8
25
25
0
24
0
1
0
0
8
8
16
0
0
0
0
0
16
8
0
0
0
0
2
8
16
1
16
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
2
2
2
2
0
12
12
12
8
8
0
8
0
0
1
1
1
1
1
0
16
0
0
0
16
1
1
1
8
8
8
8
8
14
16
8
0
6
0
0
16
16
8
1
0
0
0
4
8
1
1
8
4
8
0
0
0
8
8
8
0
0
0
0
8
8
8
0
20
1
32
32
8
59
59
2
0
16
32
24
0
16
14
8
16
16
16
0
0
8
8
8
8
3
2
2
0
0
16
24
24
24
8
8
8
16
16
14
8
16
16
8
0
0
0
0
0
0
1
0
0
0
32
0
8
4
0
0
0
8
8
8
0
0
0
1
1
1
0
0
28
28
16
16
0
0
8
0
0
0
0
0
1
1
1
48
0
0
16
0
16
8
4
0
0
2
0
0
9
8
8
0
0
0
0
16
16
16
16
0
0
0
0
0
12
16
16
0
16
0
16
8
0
8
8
8
0
8
0
8
0
16
0
0
0
16
0
0
0
0
0
0
0
0
2
2
18
18
8
0
1
1
0
0
16
0
0
24
0
8
8
0
0
4
8
0
0
16
16
4
4
0
0
0
0
0
12
0
16
8
8
8
16
0
0
0
1
1
1
0
0
0
16
0
0
0
0
0
0
4
16
16
3
0
0
1
1
8
8
8
8
8
8
8
0
0
0
0
17
17
0
0
0
8
8
4
1
0
0
0
0
4
4
4
8
1
8
0
0
0
0
0
0
0
0
48
0
0
16
0
0
0
0
0
8
2
0
8
4
0
0
0
16
0
0
0
0
0
4
4
0
0
0
0
0
0
8
8
20
0
8
8
2
2
8
8
16
16
16
16
8
16
1
1
0
0
0
0
1
1
0
8
0
0
8
0
3
8
0
8
0
8
0
8
8
8
8
0
8
8
8
4
4
51
51
18
8
0
0
8
0
0
16
0
0
0
6
6
0
6
24
4
8
0
0
4
4
4
24
27
8
16
16
16
0
0
0
0
0
8
8
0
32
32
32
32
19
0
0
0
16
1
0
9
8
16
0
1
1
16
0
0
8
8
8
8
0
16
16
16
16
24
0
0
0
4
9
0
8
8
0
0
16
10
10
10
24
1
0
16
0
8
18
16
16
0
0
0
0
0
0
16
0
8
0
8
8
8
16
16
0
0
24
8
0
4
8
8
0
8
0
0
0
0
8
0
0
0
0
0
16
16
28
0
1
16
2
16
8
0
55
0
0
0
0
16
8
16
16
16
16
0
16
16
0
8
0
0
0
0
48
0
1
9
16
0
8
8
0
8
0
8
0
0
0
8
1
8
8
1
16
16
16
16
0
0
0
0
16
16
0
0
0
4
0
0
16
4
0
0
8
16
16
16
16
16
8
8
8
0
2
0
25
25
25
0
0
0
0
0
0
0
0
1
16
16
8
16
4
0
16
16
16
4
16
16
1
0
8
8
0
0
0
0
2
0
0
8
8
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
8
8
24
0
0
0
8
4
24
0
8
16
16
1
1
14
2
8
0
0
16
16
16
0
4
4
0
0
32
32
16
0
0
0
8
8
8
0
0
0
8
8
8
12
0
8
8
8
8
8
8
0
16
0
0
0
4
4
0
0
0
0
3
8
8
8
8
1
1
0
0
0
8
16
0
0
0
0
0
16
16
16
8
1
0
2
8
8
16
8
2
4
4
0
0
0
0
16
0
0
0
0
8
0
0
8
8
20
20
4
4
0
0
0
0
0
0
0
0
20
0
3
0
0
16
0
6
0
0
1
1
8
0
0
0
0
0
0
8
8
16
16
16
0
2
8
16
0
0
0
0
0
8
8
8
16
20
8
8
2
4
0
0
8
16
16
0
0
16
0
1
4
8
0
0
0
0
0
0
0
8
8
0
2
1
0
1
1
0
0
0
16
16
0
0
0
0
0
0
0
24
16
16
0
0
0
8
2
27
0
1
1
1
1
0
0
16
16
16
0
8
8
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
8
2
8
0
12
8
1
0
0
0
0
8
8
0
16
16
16
8
8
8
0
0
0
0
0
8
8
8
8
0
0
8
0
0
0
16
0
0
0
0
0
0
2
0
0
8
8
0
0
16
0
0
8
8
8
0
0
0
8
8
8
8
8
0
8
0
0
0
0
16
0
16
1
8
8
8
8
0
0
0
8
4
4
8
16
16
16
3
3
2
2
4
0
8
8
0
0
0
0
8
4
0
8
8
8
0
0
0
0
0
2
2
2
2
2
2
0
17
17
17
0
0
8
8
0
0
0
0
0
8
0
32
0
0
16
32
32
0
0
2
4
4
48
0
0
8
0
8
0
0
32
32
9
8
8
8
8
8
16
0
0
8
24
0
8
9
1
1
8
8
9
20
0
0
0
1
0
0
4
10
0
0
0
8
0
0
0
8
0
32
32
8
16
16
0
0
0
0
4
4
4
16
18
18
0
0
0
0
24
8
4
8
8
12
12
12
16
0
0
0
16
0
4
0
0
0
56
56
4
16
48
0
0
8
8
0
0
0
0
0
0
0
1
0
0
0
32
8
4
17
16
0
8
0
0
0
0
0
0
8
0
0
4
0
8
0
0
0
0
16
16
0
0
4
0
2
1
1
0
0
0
16
0
0
0
16
0
4
4
8
8
8
36
2
2
0
8
8
16
16
0
0
8
8
0
8
8
8
16
16
0
1
1
16
16
0
0
0
0
8
8
4
4
0
16
0
0
1
1
17
17
0
4
0
0
0
0
0
17
17
16
0
8
2
16
16
16
0
0
0
0
16
16
16
16
16
17
17
0
0
0
0
8
0
0
4
0
0
0
8
12
33
8
8
8
24
24
0
0
0
8
2
0
0
0
8
8
4
0
32
48
17
17
2
2
2
8
24
0
0
0
0
20
16
16
0
0
20
0
0
8
0
0
0
8
0
0
8
8
8
8
40
16
6
14
0
0
11
0
0
0
0
41
8
0
8
16
0
0
8
8
8
0
8
8
0
0
8
0
0
0
16
0
0
0
0
4
1
12
12
12
0
0
0
0
0
11
0
8
0
0
0
32
4
4
8
0
8
0
0
0
0
0
8
24
24
24
4
1
9
0
8
0
2
2
8
8
0
4
8
8
0
4
0
0
1
1
0
20
8
8
16
0
8
2
0
0
0
0
0
0
8
8
0
0
16
16
16
0
24
8
8
8
8
18
0
0
2
8
8
0
0
0
8
4
8
0
2
2
0
16
8
10
0
0
0
4
4
0
2
16
0
0
16
0
0
2
2
4
0
0
0
0
0
8
8
16
16
16
16
16
16
0
8
0
32
32
0
8
0
0
0
0
16
8
8
8
8
16
8
0
0
16
8
0
16
0
0
0
4
0
8
2
0
4
0
8
0
8
0
0
0
0
0
0
24
24
8
0
8
8
0
8
8
8
8
16
16
8
8
8
0
0
0
8
0
4
1
0
0
1
0
0
0
0
0
8
4
4
8
0
0
4
0
0
0
0
0
0
0
8
0
0
0
0
0
4
1
1
0
18
18
0
0
0
2
8
8
0
8
8
8
8
0
0
2
16
16
16
16
16
0
8
8
8
8
16
0
0
16
0
0
0
17
17
16
16
0
16
0
18
12
12
0
0
0
8
0
18
8
24
28
0
0
0
8
16
0
16
16
4
0
16
0
0
0
0
0
0
0
4
4
0
3
3
8
8
1
0
8
0
0
0
8
0
8
8
11
32
8
8
8
0
36
0
12
0
2
2
2
2
2
0
1
57
0
9
0
0
3
4
4
2
8
8
0
0
4
8
8
8
0
0
8
0
0
8
16
40
4
0
8
8
16
8
0
8
8
8
0
8
8
0
8
8
8
28
28
0
0
16
16
2
0
8
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
8
0
8
0
2
2
16
0
0
16
4
4
0
0
0
0
0
2
16
0
4
4
9
9
9
0
0
0
0
16
16
8
8
8
8
4
8
8
24
24
16
16
0
0
24
5
0
12
12
0
0
0
2
0
2
0
0
0
24
0
18
24
0
0
0
0
1
16
1
8
16
16
16
0
0
16
16
16
16
16
16
16
0
0
0
16
16
16
0
0
0
8
8
0
0
16
16
16
16
16
16
24
0
0
0
8
1
0
8
0
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
16
1
1
1
0
8
8
0
0
8
8
0
0
8
4
0
0
0
0
0
16
16
0
2
8
8
8
8
0
0
8
0
42
20
8
0
16
16
0
0
0
24
24
24
8
8
8
16
16
0
8
8
8
0
0
0
4
4
16
0
0
16
16
0
0
0
0
0
0
16
8
0
16
16
0
5
4
32
0
8
0
16
16
18
8
16
8
8
8
8
8
16
0
0
8
8
8
0
0
0
0
0
0
0
8
2
24
0
16
0
4
16
0
0
16
16
16
0
8
0
8
8
0
0
2
2
16
0
0
2
0
8
8
0
0
4
8
8
8
8
8
0
0
0
0
16
0
0
0
9
9
24
16
16
16
0
0
0
0
0
4
4
0
0
8
0
2
2
0
0
0
0
0
16
2
2
2
1
16
8
0
0
0
8
8
8
8
8
8
8
0
16
0
0
0
0
8
19
2
2
8
0
8
0
0
0
1
0
32
32
0
20
8
16
16
0
0
0
8
9
8
8
8
4
4
0
8
0
0
16
16
16
0
4
16
16
8
8
4
2
12
12
12
12
0
0
16
1
8
1
1
1
8
1
13
4
0
8
0
0
0
0
0
0
0
0
0
0
24
0
0
0
0
0
0
8
0
8
16
16
16
16
16
16
8
8
8
8
8
8
8
8
8
0
0
8
8
8
8
0
0
0
0
0
52
1
1
0
0
0
8
0
0
8
0
0
0
16
0
0
16
4
4
0
8
16
0
0
0
0
16
0
8
8
8
2
4
4
4
0
0
0
16
0
16
4
8
8
8
8
8
8
8
8
8
0
0
1
1
0
0
0
8
0
16
4
0
0
0
0
8
0
0
32
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
6
0
0
0
0
0
8
8
8
0
0
22
0
0
4
4
8
0
0
0
0
0
0
4
0
0
8
48
32
0
0
8
0
0
0
0
0
0
0
0
8
8
0
0
16
16
0
8
0
0
4
0
0
16
0
8
1
24
0
0
0
8
0
1
8
1
1
0
0
0
0
0
0
0
0
8
12
0
8
0
0
0
0
0
0
0
0
1
1
8
8
14
0
1
0
0
16
16
16
8
2
2
2
8
8
0
0
24
4
0
0
4
1
0
8
8
10
10
10
10
10
10
2
0
0
0
0
0
0
41
4
0
8
8
8
0
0
4
0
0
8
20
20
0
16
0
8
8
8
8
8
0
0
8
0
4
4
4
0
0
32
32
32
32
8
0
8
0
0
16
0
8
8
8
4
0
0
0
0
1
0
0
0
36
0
16
8
0
2
0
0
24
24
24
32
0
0
24
24
24
0
0
0
16
16
2
2
2
8
60
8
0
8
8
0
0
8
0
0
0
0
0
0
0
0
0
16
16
8
8
8
8
8
8
0
0
8
16
16
16
0
0
0
0
8
8
16
0
1
1
4
16
0
16
0
8
16
1
8
0
0
0
18
0
0
0
16
16
0
0
16
16
1
21
21
0
8
16
0
16
0
32
16
1
0
0
0
8
8
8
8
1
1
4
1
1
0
0
0
0
16
0
8
8
8
8
8
8
8
8
2
8
8
0
0
0
4
2
2
2
8
8
0
0
8
8
8
0
0
8
0
0
9
9
0
0
0
0
0
0
0
40
0
8
0
16
1
0
0
0
0
8
8
2
2
4
4
24
6
0
0
0
0
0
4
4
4
0
0
4
12
24
0
1
8
8
8
4
0
4
8
8
8
8
8
0
8
8
2
0
0
0
0
0
8
12
0
0
0
0
0
0
8
5
16
2
0
0
0
1
16
0
0
17
17
8
0
0
0
0
0
1
4
4
12
12
1
1
16
0
0
0
0
8
16
0
0
0
0
0
0
8
4
8
8
8
16
1
0
8
8
2
0
0
0
4
4
16
16
0
0
16
32
0
0
0
8
0
0
16
0
8
8
8
8
8
8
8
1
0
0
0
0
0
16
0
16
8
8
8
8
1
0
8
1
1
0
4
0
0
0
9
9
9
9
0
0
1
16
12
8
8
0
0
0
0
0
16
0
0
0
8
8
0
8
0
8
8
8
8
0
24
24
8
8
26
0
0
0
0
8
8
8
0
0
0
4
0
0
8
0
3
8
8
8
8
1
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
16
4
2
2
1
0
0
0
8
0
0
16
0
8
0
0
32
16
0
0
0
0
26
26
2
8
8
0
0
0
16
0
0
0
4
8
16
16
16
24
0
0
0
0
0
0
12
0
0
16
0
8
8
16
16
0
1
16
16
16
16
0
0
16
16
0
0
0
0
0
0
0
42
12
12
17
1
4
0
0
0
0
0
0
0
0
0
0
16
0
8
8
8
16
16
0
8
8
8
0
16
16
0
4
4
4
4
0
0
2
4
16
16
2
10
8
0
41
0
10
8
16
16
17
8
0
0
0
0
0
0
0
0
0
16
16
1
8
8
8
8
24
8
0
18
8
8
0
0
0
0
0
0
0
0
16
3
3
0
0
20
4
8
0
0
0
0
4
8
0
0
0
8
2
2
0
0
0
0
0
0
8
8
4
16
0
0
0
0
2
2
0
0
4
16
8
0
2
2
32
56
8
8
8
4
0
0
0
0
0
0
16
4
0
4
0
2
2
0
8
8
18
16
16
16
16
0
0
0
16
0
0
0
0
0
0
0
0
0
16
16
16
16
6
0
0
0
0
8
8
8
8
0
16
0
8
12
0
8
8
0
0
0
0
8
8
6
4
16
0
8
1
1
8
0
0
4
0
0
8
8
20
20
0
16
0
16
0
2
0
16
16
16
8
16
0
4
8
8
4
0
0
56
0
18
16
0
0
9
0
0
0
16
4
4
8
8
16
16
16
0
1
1
1
0
1
1
1
16
8
8
8
8
8
8
8
0
0
0
10
8
8
0
0
0
4
4
8
8
0
8
0
0
16
0
4
8
8
0
0
0
0
8
16
0
0
0
0
0
8
0
8
8
0
2
0
0
4
0
0
0
8
0
16
8
1
0
16
0
0
0
0
2
0
16
24
1
0
0
2
0
8
12
0
18
0
16
0
16
0
0
1
2
0
16
16
0
0
0
8
16
0
2
2
0
2
0
0
16
8
0
4
1
8
0
0
8
10
0
0
0
40
8
0
0
9
9
0
0
32
0
24
24
8
16
8
0
0
0
1
32
32
32
0
0
9
0
0
0
0
0
0
24
24
24
24
0
4
4
8
8
8
0
52
52
8
8
8
8
2
2
2
2
2
0
0
4
4
1
0
0
0
16
16
16
8
0
0
8
4
4
18
18
18
18
18
0
16
0
0
1
8
0
0
2
4
0
24
16
16
9
17
17
0
8
8
8
8
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
0
0
0
0
18
8
8
0
8
0
0
0
8
1
0
0
0
0
4
4
16
0
2
8
0
4
4
1
8
0
0
16
0
16
16
0
16
16
16
8
2
0
16
8
0
8
17
17
17
0
0
0
0
0
1
1
16
16
8
0
0
18
0
16
2
16
16
0
27
4
16
16
0
24
0
16
16
0
8
8
8
0
0
16
1
8
0
0
0
0
0
0
16
16
0
8
0
16
16
16
16
8
4
16
1
1
0
0
0
0
0
28
0
8
24
0
2
16
0
0
0
1
8
2
2
2
16
16
0
16
16
16
24
4
17
8
16
16
12
0
0
8
24
8
8
8
0
0
0
34
58
16
1
1
1
0
16
0
0
0
0
0
16
0
2
4
4
4
0
0
8
8
4
0
0
0
0
0
1
0
0
57
0
0
0
0
0
8
16
16
24
0
0
16
16
16
8
8
8
8
8
0
0
16
16
0
0
0
16
0
0
0
4
4
8
0
0
0
0
1
0
8
0
0
0
0
8
24
16
8
8
0
0
0
4
4
4
0
0
0
0
8
8
0
16
24
8
0
0
4
0
16
0
0
0
0
0
0
2
1
0
0
8
0
0
0
0
4
4
4
0
0
27
0
16
16
8
8
24
0
0
0
0
16
16
16
0
4
0
0
16
16
0
0
0
0
8
16
16
8
0
24
0
2
4
4
0
4
1
0
8
0
16
0
0
16
8
0
0
0
0
8
0
0
0
0
8
8
8
0
1
0
16
0
0
0
0
8
8
8
8
8
18
18
0
0
0
8
16
0
16
16
0
20
20
8
8
0
32
8
8
2
2
2
0
0
0
0
0
0
4
4
4
4
0
0
8
1
8
8
2
24
16
0
0
8
20
8
16
8
4
8
0
8
0
0
0
0
0
0
0
0
0
4
4
12
12
0
0
16
1
16
0
16
0
4
0
0
16
0
8
8
8
8
1
1
16
0
16
16
21
0
0
0
0
0
0
0
0
0
8
32
0
4
0
0
0
24
1
18
0
0
17
17
16
8
16
0
0
0
32
8
0
0
0
0
0
0
0
0
0
0
24
24
16
4
24
8
0
0
16
16
16
0
0
0
0
8
8
0
24
8
0
16
0
0
0
0
8
0
0
16
16
0
8
12
0
0
0
0
16
16
2
2
2
8
0
0
0
0
8
8
8
0
0
0
0
0
8
0
0
0
0
0
0
0
0
2
2
0
0
0
16
0
0
0
0
0
0
0
8
8
1
1
0
1
1
1
2
0
8
8
8
8
0
0
8
0
0
4
4
0
0
24
8
8
8
0
0
8
4
0
0
4
0
9
9
16
16
0
8
0
0
0
1
52
0
0
0
0
0
8
8
16
16
0
2
2
0
0
12
8
16
8
0
0
0
8
16
16
0
0
0
0
16
16
24
24
8
8
5
5
0
8
0
0
4
1
1
1
8
0
0
0
0
8
8
8
8
0
0
8
8
0
1
8
0
0
16
4
4
4
4
0
0
17
20
20
0
8
8
0
8
0
0
4
4
4
8
0
0
0
8
8
8
8
0
24
8
28
16
8
8
2
2
0
0
0
2
0
8
4
0
0
16
8
0
0
8
8
8
8
8
16
16
0
0
0
2
2
1
1
7
3
4
16
16
0
0
20
16
0
8
0
8
8
8
8
16
1
1
4
28
0
0
24
1
0
0
0
16
16
16
16
0
0
0
32
0
16
8
6
8
8
0
8
8
8
0
24
0
0
8
2
0
0
8
8
3
3
0
40
1
25
0
2
0
0
0
0
0
0
0
0
4
0
0
0
16
16
16
8
8
0
12
12
1
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
9
9
9
16
0
0
4
0
8
0
0
16
0
8
0
2
4
4
8
8
0
0
8
0
16
8
0
0
0
0
8
0
0
2
2
16
12
8
8
24
0
16
8
0
0
1
16
2
0
16
16
0
0
0
20
8
8
8
8
8
8
8
0
0
8
9
9
9
16
0
0
0
0
32
8
8
8
8
0
0
0
2
0
8
8
8
8
17
0
0
0
0
0
8
8
0
8
8
8
0
0
4
8
0
0
0
0
8
8
8
0
0
4
40
40
0
8
0
0
24
24
24
8
8
0
0
0
0
0
0
24
0
0
0
8
8
8
0
0
0
0
0
0
27
16
0
1
8
0
0
0
9
16
17
0
0
0
0
5
8
0
16
16
0
0
0
0
0
0
0
25
25
0
16
16
1
24
24
24
0
0
0
0
2
2
2
0
16
0
16
16
8
8
0
8
8
8
0
0
0
0
0
8
24
16
0
8
12
4
16
0
0
8
16
8
8
8
8
8
16
8
16
16
0
0
1
4
0
2
2
0
0
0
0
8
14
10
8
0
2
4
8
0
0
24
2
40
8
8
0
16
0
4
16
8
0
0
0
0
8
4
12
0
18
16
16
0
8
0
16
0
0
24
0
0
8
16
2
0
0
0
0
24
16
32
32
1
1
1
8
8
0
8
0
0
0
0
8
8
4
0
0
8
4
4
4
4
4
4
4
0
40
40
16
16
16
6
2
0
0
8
8
8
8
8
28
12
4
8
8
0
0
0
0
0
0
0
0
0
0
8
8
0
4
4
4
4
4
8
0
24
0
0
0
12
0
4
4
4
4
32
0
0
1
0
0
8
0
0
0
4
0
0
0
0
16
0
46
0
28
16
0
0
0
0
0
0
0
4
0
16
0
0
4
16
16
4
4
37
4
24
24
31
1
8
0
0
0
8
0
8
0
0
0
0
16
16
0
8
0
0
1
8
0
0
0
0
0
12
0
0
0
16
16
16
0
0
15
8
16
16
0
0
32
16
0
0
0
2
2
16
16
12
8
0
0
0
8
8
8
8
0
48
8
8
0
0
1
1
0
0
8
8
0
0
4
8
0
32
0
16
26
8
8
0
0
4
0
0
16
2
8
0
0
0
0
1
0
8
17
2
2
0
0
0
0
0
1
1
1
16
0
0
16
16
0
0
0
0
0
2
2
2
18
18
18
2
2
2
16
16
0
4
0
32
16
16
0
16
16
16
8
8
0
0
8
1
0
0
0
0
0
0
0
8
8
8
8
8
0
0
0
8
8
8
0
0
16
0
8
8
0
2
0
0
16
16
2
8
8
0
0
1
1
8
4
4
4
0
0
0
0
0
0
0
16
9
9
0
0
0
0
16
32
32
32
32
32
0
0
0
4
0
8
0
1
0
1
1
1
1
0
8
10
0
24
24
0
8
0
0
8
24
24
24
0
16
16
0
8
8
8
8
0
0
0
0
0
0
24
0
0
16
16
0
8
48
8
0
1
8
0
0
8
5
5
0
0
0
0
0
0
0
0
4
16
16
16
0
4
4
0
8
0
0
0
12
8
8
0
0
0
8
8
28
24
24
0
0
0
0
0
0
16
4
8
16
0
0
0
8
0
8
1
0
16
0
16
0
0
1
1
1
0
16
0
8
24
24
24
16
10
8
0
8
0
8
8
8
8
8
8
16
8
0
0
8
0
8
8
16
0
8
16
17
0
8
24
0
0
0
0
8
0
0
0
16
16
0
0
0
0
8
16
8
0
4
4
0
0
26
26
4
4
8
0
4
0
8
8
8
8
8
16
4
0
24
24
8
0
0
24
24
0
4
4
16
16
8
8
6
2
8
0
8
0
8
8
8
8
0
0
16
2
2
0
0
24
0
16
16
2
16
1
0
2
4
8
8
8
8
8
8
8
8
0
0
2
1
0
0
0
16
16
0
8
0
0
0
8
0
0
0
0
8
16
0
0
0
0
0
8
8
16
10
8
0
0
0
1
0
0
0
0
4
4
0
20
4
16
0
0
0
16
1
0
0
16
8
8
8
16
0
0
0
1
0
0
16
0
0
8
0
0
0
0
0
0
8
0
0
8
16
8
0
0
4
0
0
0
0
0
2
2
1
0
0
4
2
0
16
0
0
8
0
0
12
0
8
16
0
0
0
0
0
0
12
1
16
16
8
4
4
4
0
16
0
0
0
0
1
1
0
0
0
8
0
0
0
0
1
0
0
8
8
8
0
24
24
16
0
0
1
8
8
8
8
8
0
0
0
16
16
16
16
0
8
8
0
0
0
0
0
0
0
0
0
37
8
4
1
8
8
4
4
4
0
16
16
16
8
0
0
8
0
4
4
0
0
16
0
0
0
0
16
16
16
16
16
16
16
0
0
8
8
16
16
0
0
0
0
0
0
16
0
0
0
18
18
0
0
4
4
0
0
0
0
0
0
0
0
0
8
4
4
0
0
0
0
0
16
17
17
16
0
16
0
2
0
0
0
0
0
20
0
0
16
1
0
0
16
16
0
0
0
24
8
8
8
0
8
0
8
1
1
1
1
0
0
0
0
0
0
16
8
9
4
16
16
0
20
0
16
16
16
8
24
0
0
0
16
1
16
0
0
0
16
16
0
8
17
16
16
8
0
8
8
2
0
4
0
0
0
0
0
8
4
4
8
1
1
0
0
2
16
8
8
8
8
8
0
0
0
0
16
0
0
0
8
0
2
0
4
8
8
8
8
8
2
0
0
0
48
16
32
16
16
16
0
1
1
8
0
0
8
4
0
8
6
6
0
0
0
0
0
0
1
1
1
0
0
8
8
24
0
16
26
26
0
0
16
0
0
0
0
3
8
8
16
16
4
10
0
16
2
0
0
0
2
2
0
0
2
2
4
0
4
0
0
24
8
8
8
8
0
8
8
8
0
0
0
0
16
18
16
0
0
0
2
0
0
0
0
0
0
0
0
1
1
1
1
1
4
0
0
0
8
8
1
1
0
8
16
8
8
2
2
2
0
16
1
0
0
0
8
0
1
1
0
0
0
0
16
16
16
16
58
58
58
0
0
2
8
0
0
24
24
0
0
0
0
0
0
0
1
1
1
16
16
0
0
0
8
0
0
0
0
1
0
0
8
16
8
8
16
16
16
0
0
0
8
12
12
12
0
2
0
0
8
8
0
8
16
0
8
8
8
8
4
16
4
4
4
4
4
0
8
0
2
4
0
0
0
0
4
8
0
0
0
0
1
1
8
8
16
16
0
0
0
0
8
0
0
32
32
16
2
2
2
2
8
8
24
1
0
0
8
8
8
0
4
4
8
0
0
4
0
24
5
16
16
16
16
0
4
0
0
0
8
8
0
8
8
8
2
16
0
20
20
8
8
20
20
20
20
4
1
8
16
8
8
0
0
0
6
5
5
0
0
0
0
13
8
0
0
0
0
0
8
50
50
0
0
0
0
6
8
8
0
0
8
8
0
16
16
16
8
0
8
16
16
0
0
8
8
16
0
8
2
8
0
12
4
0
0
2
8
8
8
1
0
0
8
1
1
4
4
4
8
8
8
2
16
0
0
0
16
16
16
0
0
12
0
0
0
0
16
8
8
8
8
8
16
8
0
16
16
4
4
0
0
8
0
16
0
8
0
0
8
0
0
0
24
16
0
0
0
0
0
0
0
0
0
0
25
0
2
2
2
2
2
0
0
0
0
8
8
0
4
0
0
0
1
16
16
16
4
0
8
8
8
8
0
0
0
1
1
18
0
0
24
24
24
24
0
0
0
8
0
0
0
0
8
0
0
0
8
0
0
0
0
16
4
32
32
8
5
9
0
0
8
2
4
16
0
0
0
0
8
8
8
0
8
16
16
16
0
0
1
0
16
0
2
0
0
8
8
8
0
16
0
0
0
0
0
0
24
0
36
36
36
0
0
0
8
2
2
2
1
1
1
16
0
0
0
0
8
0
0
0
0
0
4
0
8
8
8
8
2
16
16
0
0
0
0
0
8
8
0
0
0
4
16
1
1
0
0
28
12
0
0
0
35
0
0
16
16
58
16
0
0
8
0
8
16
16
0
0
0
0
0
8
8
16
0
36
2
8
12
16
16
24
16
8
0
0
16
16
16
20
0
8
1
8
8
4
1
8
0
0
8
0
0
0
0
8
8
8
1
1
0
0
2
0
0
16
0
0
16
16
16
8
0
0
0
16
1
20
0
16
0
0
0
0
0
0
0
24
8
0
4
0
0
0
16
0
0
0
16
0
32
32
0
0
0
0
8
0
0
8
4
0
0
16
0
0
0
16
16
16
8
26
8
8
16
16
12
12
8
8
24
24
0
0
16
0
2
2
0
0
16
1
1
0
0
0
0
0
0
0
24
8
0
16
0
8
0
8
0
8
0
0
0
0
8
0
0
0
4
4
56
16
16
16
0
8
8
8
0
0
16
0
0
0
17
16
16
16
0
0
16
8
16
16
20
20
16
0
16
1
16
32
4
4
4
0
8
0
0
0
32
0
4
0
0
0
8
0
60
20
40
40
40
0
0
12
12
1
0
8
32
8
0
8
8
8
0
16
4
0
0
8
8
8
16
0
0
0
8
0
0
8
2
2
2
2
2
2
0
0
0
1
1
0
0
8
8
8
16
16
16
16
0
32
32
32
32
32
17
16
8
10
8
32
0
0
1
0
0
8
8
0
4
8
1
1
0
16
2
0
0
8
0
0
0
0
16
17
8
0
0
0
0
4
21
16
16
4
4
4
8
0
0
0
0
0
8
0
0
8
8
8
8
8
0
8
24
0
2
20
18
18
8
0
6
0
0
0
16
0
0
2
8
8
0
0
8
8
8
0
0
0
0
0
0
0
0
8
1
1
0
8
2
0
0
0
2
24
0
16
4
29
4
4
24
8
24
4
0
0
0
20
0
0
0
1
1
1
2
2
0
12
9
24
16
0
0
8
0
16
0
0
0
32
16
0
0
16
16
2
2
8
4
25
0
0
8
8
8
24
16
16
16
16
16
16
16
0
0
0
1
1
1
1
8
8
16
0
8
16
16
16
16
8
4
0
0
0
0
4
8
0
16
16
16
0
16
16
0
0
8
0
0
0
0
8
3
8
0
0
0
8
0
33
24
8
0
16
0
0
10
0
0
8
8
0
0
0
0
0
8
8
8
8
24
24
0
16
16
0
4
8
0
0
1
0
4
0
20
0
0
0
0
0
0
24
16
16
16
0
0
0
0
0
16
8
24
0
0
0
1
10
0
0
2
0
0
0
0
0
0
0
16
16
16
2
2
2
8
8
8
7
7
7
40
8
2
2
16
24
0
0
0
8
16
14
1
0
16
16
28
16
0
0
2
16
0
0
8
8
8
0
0
0
4
0
0
0
0
0
16
8
0
0
32
32
0
0
0
0
16
0
16
8
1
0
16
0
8
22
1
1
0
0
24
8
4
0
0
4
4
0
0
0
8
12
0
0
0
0
16
0
16
16
16
2
2
8
16
2
2
2
0
0
0
0
0
8
0
0
0
0
0
8
8
0
0
32
8
18
0
8
0
0
0
16
2
32
32
2
0
45
45
0
0
4
8
0
0
0
0
1
1
16
16
16
16
16
8
0
4
8
8
16
16
10
10
16
8
0
16
0
0
8
8
8
16
0
2
0
4
4
0
0
1
0
0
8
8
8
0
4
16
1
8
8
8
0
0
16
0
0
0
0
0
0
0
0
0
0
52
52
0
17
1
8
8
0
1
5
0
0
0
9
0
0
0
0
2
2
0
0
0
0
8
0
0
0
0
0
8
0
4
2
4
4
4
4
0
8
4
0
0
0
8
8
8
0
0
1
8
1
1
1
0
0
0
0
1
0
0
0
0
8
10
0
8
0
0
8
8
8
8
8
0
8
8
8
0
0
8
8
16
24
16
16
8
8
8
8
8
0
0
0
0
0
0
0
1
1
8
0
8
0
0
0
8
5
1
1
1
16
16
16
0
12
12
0
0
8
8
16
0
0
16
16
0
16
8
8
8
8
0
0
0
8
24
8
0
0
0
0
8
16
0
0
8
0
0
24
24
24
4
2
24
2
2
2
0
0
8
2
2
0
0
0
0
0
8
16
4
4
4
4
8
8
0
16
0
8
8
16
16
16
16
16
16
16
0
0
8
16
16
0
41
0
8
0
24
0
0
0
18
18
18
16
0
8
12
12
1
8
8
8
8
0
0
4
0
4
8
8
24
24
0
16
16
16
8
17
4
4
0
8
0
16
16
22
43
17
1
0
0
0
0
0
8
20
8
4
16
1
32
32
8
8
8
32
8
8
1
9
12
0
0
0
8
8
8
8
4
4
0
0
0
0
0
8
0
0
8
0
18
18
18
18
18
18
8
8
8
8
0
0
8
8
4
8
8
8
0
1
8
8
8
8
0
0
10
1
8
8
0
0
0
0
0
0
8
16
16
16
8
8
8
16
8
0
4
0
4
0
32
0
0
8
8
0
0
0
0
0
0
0
0
0
16
1
18
0
0
0
0
0
2
2
2
8
16
0
8
16
16
0
0
0
0
2
16
4
4
4
4
8
8
18
0
8
0
0
16
16
0
8
16
16
0
0
16
8
8
8
8
0
0
16
24
16
16
8
0
0
0
0
12
12
12
16
18
2
0
0
16
0
8
8
8
8
8
0
0
0
8
8
12
17
17
17
0
0
0
0
0
8
0
0
8
8
0
0
8
0
16
24
0
4
4
4
4
0
16
0
8
8
8
8
8
2
4
5
4
0
0
8
0
8
8
0
0
2
2
0
0
0
0
16
8
0
0
5
5
20
0
0
0
0
0
2
0
0
16
0
0
0
16
28
0
8
16
16
16
8
8
0
0
16
16
0
8
8
8
8
8
8
8
8
20
20
8
8
8
8
8
0
0
1
16
16
16
0
0
0
7
7
0
0
0
2
0
2
2
0
0
0
0
0
0
0
1
0
6
6
6
6
0
24
24
16
0
16
16
16
4
4
0
0
0
16
16
16
16
2
0
8
12
16
0
0
0
0
32
0
8
8
8
0
0
0
0
0
0
1
0
12
0
0
0
1
0
0
1
0
0
8
8
4
8
2
24
2
0
0
1
1
8
16
16
8
0
0
0
0
8
4
8
8
8
18
0
2
2
2
2
2
0
16
16
0
8
0
0
4
2
4
4
4
13
16
8
8
8
8
18
18
18
8
9
8
0
0
4
24
24
8
24
0
0
0
0
0
8
0
2
0
0
0
0
0
0
8
0
9
0
0
4
24
24
24
4
20
4
8
8
0
8
8
0
0
0
8
26
8
16
0
0
0
8
8
16
16
0
0
8
0
0
16
0
0
0
0
0
4
0
0
0
0
0
16
16
1
1
0
0
0
0
0
16
8
8
8
8
0
0
8
0
0
0
8
8
16
0
0
0
1
8
0
0
4
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
4
4
4
0
11
11
0
8
0
0
0
0
0
0
0
8
8
8
0
0
0
0
1
0
0
0
0
8
8
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
17
0
0
0
0
0
0
16
0
0
0
0
0
4
8
8
0
8
0
56
56
56
0
8
16
0
0
0
0
0
8
3
0
0
0
0
0
0
4
8
8
8
0
4
0
4
0
0
0
24
0
4
4
0
0
0
8
24
24
16
16
0
0
16
0
0
0
0
0
8
0
0
0
0
0
16
0
0
0
0
0
0
0
8
16
16
16
8
8
10
0
16
0
0
21
0
0
0
4
0
0
0
16
0
16
8
8
0
0
0
0
0
0
0
0
0
8
8
16
16
16
0
0
2
2
0
4
4
4
4
0
0
0
24
24
0
2
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
8
0
2
2
0
0
8
8
8
8
0
0
0
0
0
0
0
16
0
0
0
16
0
0
0
0
0
4
26
26
0
0
0
4
1
1
1
1
1
1
1
0
16
32
8
0
8
8
8
0
0
0
0
0
0
8
8
8
0
16
28
28
8
0
0
0
0
1
4
0
0
0
16
0
8
0
16
0
0
24
0
8
8
0
16
16
0
32
0
0
17
0
0
0
0
0
8
16
0
0
0
8
12
8
8
8
8
8
8
8
16
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
0
0
0
0
0
0
0
0
8
12
0
4
0
0
0
0
0
0
0
0
2
2
2
2
2
0
0
0
0
8
0
2
2
17
0
0
0
0
0
0
0
0
25
0
0
8
1
0
0
0
0
0
0
0
0
0
0
0
16
2
2
0
24
0
0
0
0
0
0
0
4
0
0
0
0
8
0
0
0
16
0
0
0
0
0
0
0
0
16
0
16
16
16
0
0
0
16
2
8
4
4
4
0
0
0
0
0
0
0
0
0
0
0
16
16
8
8
2
2
2
0
0
16
16
0
16
0
0
14
14
16
16
8
8
8
0
0
8
0
4
34
34
0
0
0
0
12
0
0
0
0
0
0
0
0
0
8
0
24
0
0
0
0
0
0
1
0
0
0
2
0
12
0
0
0
0
0
16
16
8
0
0
0
16
0
8
8
0
8
8
18
0
8
8
0
0
0
0
16
16
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
4
8
8
33
0
0
16
8
0
16
16
0
0
24
0
0
0
0
0
0
0
8
0
0
0
16
0
28
28
0
0
0
16
0
0
0
0
16
0
0
0
0
0
0
0
2
2
0
0
0
0
0
16
0
0
8
8
0
0
8
0
0
0
0
0
4
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
3
16
0
2
0
0
0
20
0
0
16
0
4
16
16
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
32
32
32
13
0
0
0
0
0
0
0
0
2
0
0
4
4
0
8
8
0
0
16
20
0
0
0
0
0
0
9
5
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
32
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
1
0
0
16
16
0
0
16
0
2
4
24
24
24
1
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
12
0
0
0
0
16
0
12
8
20
0
4
0
0
0
36
0
0
0
0
4
0
0
0
18
18
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
22
0
0
0
0
0
32
8
40
0
0
8
0
0
0
24
0
0
0
0
0
0
0
20
20
0
4
1
8
0
0
0
0
4
0
0
0
54
0
4
4
8
0
8
8
2
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
16
16
0
0
0
0
8
8
8
8
8
8
8
8
17
0
8
0
16
16
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
8
0
0
0
0
8
0
0
0
10
10
0
0
0
0
8
0
16
4
16
0
0
0
0
0
0
8
0
0
0
0
16
16
16
16
16
16
16
16
16
16
10
0
0
0
0
0
0
0
0
8
0
0
0
0
0
8
58
3
0
16
0
0
0
0
0
0
0
0
8
8
0
0
0
5
0
0
0
0
0
0
0
8
8
0
0
2
0
0
0
12
0
8
8
0
0
16
0
0
0
2
0
0
16
0
8
10
10
8
0
0
0
0
0
0
8
0
0
0
0
16
0
0
8
0
16
8
8
8
0
0
0
0
0
8
0
0
0
0
16
16
0
0
0
0
16
16
2
0
0
0
16
50
0
16
0
0
0
4
8
0
1
17
0
16
8
0
0
8
24
24
0
0
0
16
0
0
0
48
2
0
0
1
1
16
0
0
0
2
0
16
0
4
16
43
0
0
4
0
0
0
0
1
0
0
8
0
0
8
0
0
0
0
0
0
16
0
0
0
0
8
8
16
0
0
0
0
0
16
24
24
0
0
0
0
0
0
16
0
0
0
0
17
8
0
0
0
0
9
9
9
4
4
0
0
0
0
16
0
8
0
8
0
0
0
0
0
4
4
4
8
0
8
4
1
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
8
0
0
0
0
0
0
0
8
8
8
8
16
0
0
0
0
21
4
0
2
17
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
1
0
0
0
0
0
0
0
24
0
24
8
0
0
0
16
0
0
0
0
8
0
24
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
1
0
0
0
8
8
0
0
0
0
0
0
20
0
0
0
0
0
0
8
0
16
0
0
0
0
0
0
0
0
4
4
6
6
4
20
0
0
0
8
8
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
8
8
8
8
0
0
0
0
0
0
0
0
1
0
16
0
16
0
8
0
0
0
0
0
0
6
6
2
0
8
0
0
0
0
4
20
0
25
0
0
8
8
4
4
0
0
0
9
16
16
8
8
8
16
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
16
8
0
8
8
0
0
0
0
0
0
0
16
8
0
0
4
0
0
0
1
0
2
20
0
0
16
0
0
0
0
0
0
16
16
16
16
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
9
0
0
8
8
0
0
0
0
0
0
0
0
0
8
8
8
16
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
17
17
0
0
16
8
8
8
0
0
0
0
8
0
1
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
8
9
0
19
0
0
0
0
8
8
8
0
8
0
8
0
0
0
8
0
8
8
8
8
0
2
2
0
0
8
4
0
0
0
0
0
0
8
8
0
0
0
0
17
8
0
0
17
16
0
0
8
8
8
12
0
4
16
2
0
0
0
0
0
0
0
0
0
0
0
0
0
8
16
1
0
0
0
0
0
20
0
0
0
0
0
0
0
0
0
5
0
0
0
0
0
0
0
0
0
0
0
24
24
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
16
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
16
0
0
0
0
0
0
0
4
0
0
0
16
0
0
0
0
24
0
0
0
0
0
0
0
8
0
0
0
4
4
0
0
0
0
0
0
0
16
0
0
0
8
8
4
4
0
0
0
0
0
0
0
0
8
0
0
8
0
0
25
0
0
0
0
0
0
0
8
2
2
2
2
0
0
0
0
0
0
0
8
16
24
24
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
1
0
0
0
4
0
0
0
8
0
0
8
0
0
0
0
2
0
0
0
37
0
0
0
0
0
0
9
9
0
0
0
16
0
16
0
0
8
0
0
0
0
0
0
0
0
0
0
16
6
16
16
0
0
0
0
0
2
0
0
0
0
0
2
8
8
0
0
8
0
0
0
0
0
0
0
8
0
16
0
0
0
0
0
0
0
0
0
0
0
0
8
8
20
16
0
8
0
0
0
0
17
0
2
0
8
2
8
0
8
0
8
8
0
8
0
0
0
0
0
0
0
0
0
4
0
0
0
1
1
8
0
0
0
2
2
0
0
0
8
8
0
0
0
0
0
0
8
0
0
0
0
16
8
0
0
0
0
0
0
0
0
0
0
18
18
0
0
0
0
0
0
0
0
16
0
8
0
0
0
1
4
0
0
0
0
0
0
0
17
0
0
8
0
0
0
0
0
0
2
0
0
0
0
4
0
0
0
16
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
8
0
24
24
0
0
4
16
0
0
0
0
0
0
0
0
1
1
34
25
25
16
0
8
8
0
16
0
0
16
0
17
4
0
0
0
27
0
0
17
0
0
0
0
0
8
8
8
0
0
0
0
1
0
0
0
8
28
16
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
16
16
16
0
16
16
0
0
24
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
18
18
18
0
4
4
16
16
0
0
0
0
0
40
40
40
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
8
0
16
0
0
16
0
8
0
1
1
4
0
0
0
32
0
0
0
16
4
4
4
0
1
8
0
0
0
0
0
0
0
0
1
0
0
0
16
0
0
0
0
0
16
3
0
0
8
8
0
4
5
5
0
0
0
16
8
4
8
0
32
8
0
0
0
0
0
0
0
0
4
8
8
0
24
0
0
8
0
8
0
2
0
0
0
0
8
0
0
4
4
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
16
1
0
0
8
0
0
10
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
8
0
0
0
0
0
1
0
8
0
0
8
8
0
0
16
16
0
0
0
0
8
8
8
8
0
9
0
0
0
0
0
8
0
0
8
40
0
8
8
0
0
4
0
16
2
6
0
0
0
0
0
0
4
0
0
28
0
8
3
8
8
8
0
0
0
0
8
24
24
0
0
0
0
16
16
0
1
1
0
0
0
0
0
4
8
8
0
0
4
0
4
8
8
0
8
0
0
0
16
0
0
0
9
0
0
0
0
16
0
0
0
16
0
8
0
0
0
25
0
0
16
16
16
0
0
0
44
0
0
0
0
12
8
10
10
0
0
32
0
0
16
2
0
1
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
3
0
0
0
0
0
0
0
0
4
4
0
0
0
2
2
0
0
0
2
0
8
8
0
0
0
2
2
2
2
2
24
0
8
0
0
8
8
8
8
0
0
0
0
0
0
0
0
0
8
0
0
8
0
1
1
0
0
0
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
1
1
1
0
0
0
0
0
0
16
16
0
0
8
0
0
16
0
0
0
4
0
0
8
8
2
0
0
0
0
16
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
32
32
0
0
0
0
8
8
8
8
0
0
8
8
18
18
18
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
8
4
0
0
0
0
0
0
0
0
0
8
8
0
0
0
40
0
8
0
0
16
16
0
8
8
0
0
4
0
0
0
0
0
16
4
4
3
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
16
16
0
2
0
8
2
8
8
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
28
20
13
0
0
8
0
0
0
0
8
0
0
0
8
16
16
16
0
0
8
8
0
4
0
0
8
8
0
0
0
0
0
8
2
2
2
2
0
18
16
8
17
0
0
0
0
0
8
8
0
0
8
8
0
0
4
4
0
0
0
0
0
0
0
0
0
0
0
0
24
0
16
0
0
16
0
0
0
1
0
8
0
0
0
0
0
0
0
0
0
16
8
0
0
4
4
4
4
0
8
5
5
8
0
0
4
0
8
8
0
0
16
0
2
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
8
0
0
0
8
8
8
8
16
0
0
0
0
0
4
4
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
8
8
8
8
0
0
0
0
0
9
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
0
0
0
0
0
0
0
16
0
0
0
8
0
0
2
2
2
2
16
0
16
37
37
37
8
8
8
8
8
8
0
0
0
0
0
0
16
0
0
4
0
0
0
25
0
0
0
4
8
8
8
22
22
0
0
0
0
0
0
0
0
0
8
0
0
8
8
2
0
0
33
8
8
0
4
0
0
0
0
0
16
8
2
2
2
2
0
0
0
8
8
8
8
0
16
0
0
8
0
16
0
0
0
0
0
8
1
0
0
0
0
16
16
0
0
0
8
8
0
4
16
0
0
0
0
24
24
24
8
2
16
16
16
0
2
2
19
0
0
0
0
8
1
12
24
16
0
0
8
0
0
0
16
16
8
20
0
0
0
0
0
0
0
0
0
24
24
8
0
2
0
2
48
0
32
32
16
4
0
8
0
0
0
28
16
0
0
0
0
0
16
4
0
0
0
0
0
1
2
0
0
0
0
8
8
0
16
4
1
0
16
0
4
1
0
0
0
16
16
16
0
16
16
8
16
8
0
8
0
9
0
12
0
16
0
0
0
0
8
0
0
0
0
0
16
8
32
0
0
0
0
0
11
0
0
20
16
8
0
0
0
0
0
9
6
0
0
4
0
8
2
8
0
0
0
0
8
8
16
0
1
1
0
16
16
16
0
2
0
0
1
1
17
17
8
0
8
17
8
0
0
0
16
8
0
2
2
2
2
2
0
1
1
0
4
4
0
0
0
0
8
0
8
8
0
0
0
26
26
0
0
0
0
0
4
0
16
16
8
8
0
0
8
16
0
16
16
16
16
16
1
0
0
8
0
0
0
16
16
16
16
0
0
0
16
0
8
8
8
1
2
0
0
0
8
0
24
16
16
0
0
0
16
16
1
0
8
8
0
0
4
0
0
0
0
0
0
0
8
0
4
0
2
2
2
0
0
0
0
4
0
0
1
0
0
16
16
0
20
20
8
0
0
0
8
8
8
8
8
0
0
12
0
0
0
0
0
0
8
1
0
16
0
8
8
20
0
0
16
16
0
0
0
8
0
16
8
0
8
0
8
32
32
1
16
0
0
0
20
8
8
0
8
8
0
0
0
0
0
8
40
40
0
0
20
12
0
0
0
0
16
0
4
4
4
0
0
0
0
0
8
8
8
0
0
0
0
8
0
11
8
0
0
0
60
60
60
60
0
0
0
0
0
0
0
2
2
4
4
0
0
16
0
0
0
0
1
0
4
4
4
0
0
0
0
1
0
16
0
0
24
24
0
0
4
4
0
0
0
0
8
0
4
0
8
0
12
0
0
16
0
16
16
0
0
6
0
0
0
0
8
8
0
0
0
0
4
20
16
8
0
0
0
0
0
0
0
0
32
0
8
0
26
0
0
18
18
2
0
0
4
1
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
8
2
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
48
16
0
0
0
8
0
0
0
0
3
0
0
0
8
8
0
1
1
1
0
0
8
8
8
0
2
0
0
0
1
1
0
0
0
8
8
16
4
4
16
0
0
1
3
1
2
10
1
0
0
0
2
0
28
0
0
0
0
0
2
0
9
9
0
0
4
4
4
8
0
0
0
18
0
2
2
0
8
8
0
1
8
0
0
27
27
8
4
4
1
0
0
0
12
12
0
0
0
32
0
0
24
0
0
0
16
0
0
0
0
0
0
0
4
8
8
8
0
0
0
0
16
16
0
16
16
8
8
16
8
1
0
0
32
0
0
0
16
0
8
0
0
8
4
0
0
8
8
28
28
28
28
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
4
4
0
21
14
0
8
0
0
8
0
4
8
8
8
12
0
0
8
8
8
8
0
0
0
0
22
2
8
0
16
16
0
8
0
2
0
4
16
0
20
0
0
0
0
16
16
4
8
0
0
2
12
0
0
0
0
0
0
0
16
0
0
1
0
0
16
0
0
0
0
0
8
0
0
0
0
12
9
0
0
32
32
8
16
21
8
8
0
2
4
0
0
0
8
0
8
0
0
0
8
0
0
2
16
0
16
0
0
0
0
0
0
18
0
0
8
8
16
0
8
8
0
6
4
16
23
22
22
0
16
0
0
4
0
0
0
17
1
0
0
0
0
0
0
0
0
8
1
16
0
0
0
4
8
8
8
0
0
6
8
8
0
0
0
32
0
0
8
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
32
16
19
16
16
16
0
8
8
32
0
0
0
16
0
2
2
2
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
8
0
2
24
0
0
1
0
0
0
0
16
16
16
0
16
16
2
0
0
0
0
0
8
0
16
1
2
2
2
2
0
0
0
8
0
21
0
0
32
0
0
0
0
0
6
0
24
8
8
3
2
0
0
0
8
8
0
8
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
8
8
16
16
0
0
0
2
1
2
24
0
16
8
16
16
0
0
0
8
8
8
8
8
0
0
4
4
8
8
8
0
0
24
0
0
18
18
32
32
20
16
0
0
0
0
0
0
0
0
13
8
0
0
18
2
2
0
0
0
0
0
0
0
8
8
8
5
0
0
0
0
0
0
4
8
4
16
8
0
0
12
8
54
54
16
16
6
0
0
0
0
21
0
0
8
0
0
0
2
1
0
1
1
0
0
0
8
8
8
4
1
4
0
1
0
4
0
0
8
8
16
8
0
0
2
0
0
0
0
0
0
24
0
20
8
34
2
0
0
0
24
4
0
16
0
0
0
2
0
17
17
4
0
0
13
17
17
0
8
2
2
2
2
2
0
0
17
17
0
0
0
0
0
0
2
0
0
4
0
4
0
32
6
16
16
0
0
8
8
8
0
0
0
16
0
0
16
16
1
1
1
0
0
0
8
8
8
0
0
0
0
8
0
0
1
10
8
0
0
24
0
8
8
8
0
0
8
8
1
1
0
0
8
8
0
4
4
0
8
0
16
16
5
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
2
2
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
24
24
1
0
0
0
0
0
0
0
0
0
20
8
8
0
16
0
0
0
8
0
0
16
4
4
8
8
0
0
0
0
0
0
16
0
0
0
8
0
0
40
4
4
8
12
12
8
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
1
0
16
0
0
0
1
2
0
8
16
0
0
0
1
1
0
42
42
32
2
2
0
2
2
0
0
0
0
0
0
8
0
9
0
8
0
0
0
9
0
0
8
8
8
0
0
0
0
0
0
2
0
0
0
0
0
0
16
16
16
16
16
16
0
0
0
0
0
8
0
0
0
2
2
0
16
0
0
8
0
2
0
0
0
0
0
0
0
8
8
40
0
8
0
0
0
0
0
0
20
0
0
0
0
0
0
0
0
0
0
0
0
17
8
0
0
10
10
10
0
0
0
16
0
0
0
0
0
0
16
8
8
2
4
0
0
0
0
0
17
0
0
0
1
0
0
0
0
0
0
32
0
56
0
0
0
0
0
4
0
16
8
0
8
0
0
0
0
0
8
8
8
8
0
0
0
1
1
1
0
0
0
0
0
0
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
22
0
0
0
0
8
0
0
0
0
16
8
8
4
0
0
0
0
0
0
0
0
0
0
8
0
8
0
0
0
16
16
0
8
4
1
1
8
0
8
0
0
0
8
8
0
0
0
4
0
8
17
0
0
0
0
8
8
8
32
32
8
2
33
8
8
8
16
0
0
4
0
16
8
0
8
0
0
0
2
8
8
8
18
4
0
0
1
0
8
16
1
0
0
0
2
2
0
16
0
0
0
0
0
0
2
0
0
40
8
0
0
0
8
8
8
8
0
0
25
0
0
0
0
0
0
0
0
16
0
0
0
0
1
1
0
0
20
0
32
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
8
18
0
0
0
0
0
0
0
0
0
0
4
0
8
35
6
2
2
8
0
0
0
8
0
0
8
8
8
8
4
8
0
0
8
0
0
4
0
8
8
8
8
16
16
16
0
0
2
16
20
0
17
0
0
1
0
8
0
0
2
0
8
8
4
2
4
4
4
4
0
0
0
0
8
16
0
0
16
16
0
0
8
8
0
8
0
0
0
0
8
0
0
8
16
16
16
16
0
0
0
0
2
8
4
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
0
0
0
0
8
0
16
0
0
0
0
0
8
0
8
0
16
0
0
4
2
8
0
0
16
16
0
0
0
12
0
0
2
8
24
2
16
32
0
8
0
0
0
0
16
6
0
0
0
0
8
8
8
1
1
1
1
24
1
0
2
0
0
0
0
0
0
0
0
0
0
16
0
0
0
16
16
16
0
0
0
0
0
16
0
0
0
17
8
0
0
0
0
0
8
8
0
0
0
0
0
8
2
17
16
0
0
0
0
0
16
0
0
0
8
8
0
0
0
0
0
0
8
24
0
16
0
16
0
0
17
0
0
4
10
16
16
4
16
0
16
16
24
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
1
0
56
0
8
0
0
0
16
0
16
16
0
36
0
6
4
0
16
0
0
0
0
0
0
12
0
0
2
8
8
0
0
0
0
2
0
20
32
0
0
2
1
0
0
4
0
0
8
0
8
8
8
0
0
4
0
8
0
0
0
0
0
16
0
0
0
8
0
16
16
8
16
16
39
16
6
4
0
0
18
18
0
16
0
0
4
0
8
0
0
1
16
0
0
4
4
16
0
2
0
0
0
24
20
8
8
8
8
0
0
2
4
0
8
44
4
4
0
0
10
0
8
8
8
8
0
16
16
4
4
16
0
0
2
0
8
0
0
0
0
16
0
0
8
8
9
0
0
0
0
16
0
16
0
0
4
4
59
0
0
0
0
8
8
0
0
8
8
2
8
0
0
0
0
0
2
0
0
0
0
0
0
0
0
24
24
24
0
8
0
0
8
56
56
2
8
0
0
0
0
0
0
1
16
8
8
4
16
2
2
16
16
8
1
0
0
16
0
0
16
1
0
0
0
17
0
8
8
0
8
8
8
0
0
1
0
2
8
0
0
0
0
2
8
4
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
4
4
8
8
28
28
8
8
4
0
0
0
0
0
8
8
8
0
0
16
16
0
16
1
32
32
1
1
1
0
0
8
8
0
0
0
0
0
0
0
0
6
0
32
0
0
8
4
0
24
0
0
0
0
8
8
8
8
0
0
0
16
16
0
8
8
0
0
1
0
0
0
0
0
0
0
20
0
1
8
8
8
8
8
8
20
0
17
0
0
0
0
0
25
0
0
0
0
0
0
17
8
0
0
0
0
16
28
0
0
8
8
8
8
4
8
0
0
8
1
26
0
0
0
0
0
16
12
0
0
0
0
0
0
0
0
0
0
12
0
0
0
0
8
8
16
57
0
0
0
20
8
8
0
0
16
16
0
0
0
4
4
0
8
2
0
0
4
16
16
16
16
16
10
10
10
0
8
8
8
0
0
0
16
0
16
2
2
1
0
8
0
0
0
16
16
16
0
4
4
4
16
8
0
8
8
0
0
1
8
0
0
0
0
4
16
16
0
0
0
0
0
0
0
16
16
24
24
8
0
0
0
16
0
8
0
0
0
16
8
16
8
8
0
0
8
0
17
17
17
17
17
17
16
2
2
24
8
8
8
8
2
0
0
0
0
0
0
2
0
0
0
0
0
0
0
8
0
9
0
0
4
4
0
0
0
0
0
1
1
1
1
4
0
0
36
8
8
8
2
16
0
0
16
0
0
16
16
16
0
8
2
2
2
0
16
0
0
0
0
0
32
0
0
0
0
8
4
4
0
0
0
0
16
0
0
8
0
24
0
0
0
0
0
0
0
4
0
0
0
32
0
0
0
8
8
0
16
0
4
4
8
8
0
0
0
16
2
18
0
0
0
8
0
8
0
16
1
0
0
16
16
8
3
12
4
0
0
0
0
0
0
25
25
25
0
0
0
0
0
0
0
16
16
8
8
8
8
0
12
0
2
16
8
8
0
35
8
0
16
16
0
0
0
18
18
18
0
0
0
16
0
0
0
0
8
8
0
1
0
0
8
0
0
0
18
12
8
8
0
9
18
0
4
1
8
0
8
0
0
1
16
0
0
0
2
0
8
0
0
16
0
0
0
17
16
0
0
0
0
16
16
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
8
17
8
8
8
16
21
21
21
1
4
0
8
16
0
0
0
0
16
0
16
4
0
16
0
0
0
8
8
8
4
4
0
16
0
0
0
0
0
0
0
0
0
0
16
0
4
4
16
16
16
0
0
24
24
0
0
8
0
17
0
0
0
0
0
0
1
0
0
8
4
0
0
4
0
0
0
0
8
8
0
0
48
24
6
0
16
1
0
0
0
8
16
0
8
13
8
8
0
0
8
8
4
16
0
48
48
48
48
0
0
0
0
0
16
16
10
0
16
0
0
0
0
0
8
0
16
4
16
32
32
32
32
0
0
8
8
0
0
0
20
2
2
8
8
0
0
2
0
8
8
16
16
16
16
16
16
17
16
1
8
8
0
0
6
16
0
0
24
24
0
0
0
0
0
0
4
4
0
0
0
8
8
8
0
0
8
0
6
6
4
16
0
8
8
8
24
0
0
0
0
0
8
17
24
16
32
0
0
0
0
18
0
0
18
0
0
0
0
8
8
4
0
0
0
0
0
8
16
32
0
0
0
0
0
0
8
0
0
16
0
0
4
0
16
8
8
4
8
1
8
24
8
0
8
12
8
8
0
0
0
0
0
16
16
16
21
16
0
16
0
0
21
0
0
0
0
0
16
8
8
0
0
1
16
3
11
11
16
0
8
16
0
8
0
0
8
8
0
0
0
8
0
0
0
4
8
0
0
0
8
0
0
0
0
0
0
0
0
0
8
16
16
0
16
16
16
2
8
8
8
36
8
0
8
0
0
8
8
16
16
0
0
0
4
4
0
0
4
0
0
0
8
16
16
16
8
30
0
0
8
24
8
8
8
8
8
8
8
20
20
20
8
8
8
0
24
0
0
16
4
4
4
0
8
8
0
8
8
0
0
32
24
0
0
0
0
16
4
0
0
0
0
3
16
0
0
2
16
16
0
0
16
16
1
8
8
0
0
8
0
16
0
0
0
0
36
16
16
0
0
8
0
2
0
0
8
0
1
8
8
0
8
0
0
0
21
21
21
4
0
8
0
24
0
16
4
0
0
0
16
16
52
4
0
0
0
0
0
0
0
16
8
8
8
16
0
8
0
0
0
1
28
16
17
8
0
16
0
2
0
8
0
0
0
8
8
8
8
8
8
8
8
0
0
0
0
0
0
0
0
0
1
8
0
0
0
8
8
4
0
8
0
8
1
0
0
0
0
16
1
8
0
5
0
8
17
8
0
0
0
8
0
0
8
8
0
0
16
0
16
0
0
0
0
16
0
1
8
0
0
0
0
32
0
0
0
0
0
0
16
0
8
0
0
0
16
0
4
8
2
2
0
0
4
32
24
16
0
0
0
18
0
0
0
18
16
0
0
0
4
12
8
16
16
16
24
8
16
0
24
16
16
16
16
0
0
0
8
0
8
0
0
0
0
8
0
0
0
8
16
16
0
0
0
8
0
0
0
34
8
8
0
0
16
0
0
0
8
0
0
0
4
0
0
1
8
0
8
0
8
8
0
0
0
0
0
16
0
0
0
8
16
16
12
12
12
12
12
0
0
8
8
0
0
0
0
0
0
0
0
16
0
0
8
0
24
24
0
0
0
0
0
0
0
0
8
8
0
8
8
8
0
0
0
0
12
16
16
16
17
8
8
0
0
0
0
0
0
8
0
0
8
8
0
0
0
20
8
8
8
16
1
24
24
24
8
8
0
0
0
0
0
0
36
0
0
0
0
0
0
0
8
0
0
4
4
4
0
0
0
4
0
0
9
0
0
0
0
16
0
0
0
0
0
16
16
8
8
16
8
4
0
0
2
2
2
2
2
2
2
0
0
0
0
0
0
0
0
17
4
0
0
16
16
0
0
9
0
4
20
8
8
8
0
4
8
0
0
16
0
0
0
0
0
0
0
8
16
0
0
0
8
1
0
0
4
8
16
4
0
0
16
16
0
0
0
1
8
16
0
8
32
32
0
1
16
8
0
2
2
0
32
0
8
4
4
0
0
0
0
0
4
4
12
2
2
2
0
8
8
0
0
8
4
0
24
8
0
0
0
0
0
0
0
16
0
0
0
16
16
2
0
16
0
0
0
8
0
0
0
2
2
0
1
16
0
8
8
0
0
0
0
1
1
0
0
2
2
16
16
0
0
0
8
8
16
16
4
2
0
0
0
8
0
0
0
0
0
8
16
0
8
8
0
4
0
0
8
8
0
8
8
0
0
4
0
4
4
4
16
0
0
0
0
25
0
0
0
2
0
0
1
40
16
0
2
16
16
16
0
0
0
1
0
0
0
0
8
8
8
0
0
0
0
24
24
24
8
0
0
0
8
8
0
4
4
4
4
4
0
16
0
1
24
16
16
8
1
0
8
0
0
0
2
16
0
0
0
0
8
0
8
0
16
16
8
0
0
0
0
20
8
0
8
8
8
8
8
8
8
8
8
0
0
0
0
0
0
0
8
0
2
2
0
8
0
0
8
0
0
8
8
8
0
4
4
4
8
8
0
6
2
0
0
1
0
0
0
0
0
16
0
0
0
1
1
0
0
0
4
0
4
0
0
8
8
3
3
0
16
0
4
16
0
32
8
8
0
0
0
4
4
16
16
0
18
16
0
0
0
0
0
0
0
0
8
8
16
16
16
0
16
0
0
0
0
2
0
0
8
8
8
0
8
16
8
8
8
0
0
16
2
0
8
8
8
8
16
16
0
0
0
20
0
8
8
4
18
8
0
0
4
0
28
0
0
0
0
0
16
0
8
8
22
4
0
8
8
0
0
1
12
0
0
52
0
8
0
3
8
8
0
8
17
16
16
16
16
16
0
4
4
9
4
4
16
0
0
20
20
8
0
4
0
0
0
0
0
0
56
8
16
0
0
0
8
8
8
0
0
0
0
0
8
8
0
0
0
0
0
0
0
4
16
0
0
0
0
0
8
8
0
8
1
0
0
2
2
2
8
8
8
0
8
0
8
32
16
0
1
8
0
0
24
2
4
0
0
0
32
32
8
8
1
2
8
16
16
16
12
0
0
8
8
8
24
16
0
0
6
16
16
16
16
0
8
32
32
4
16
0
0
0
0
0
8
0
0
0
0
0
8
4
4
0
8
8
8
8
0
8
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
36
0
0
9
0
0
0
0
0
0
0
0
8
0
16
8
16
0
8
8
2
0
0
0
0
16
16
16
16
0
0
8
0
8
0
0
0
0
0
8
8
32
8
0
0
0
0
0
0
2
16
0
0
16
16
60
8
0
0
8
8
20
20
20
22
16
16
0
16
16
0
0
4
4
16
0
0
4
4
0
0
0
0
0
4
8
8
8
0
8
0
8
20
20
0
0
0
0
0
12
8
0
0
0
1
8
8
0
8
8
8
4
20
0
0
0
0
0
0
0
0
16
8
8
4
0
0
0
8
16
0
0
2
0
8
8
0
4
4
4
8
8
4
4
4
2
2
2
8
8
8
8
8
8
8
4
36
2
2
1
16
0
0
0
0
0
0
8
0
0
8
0
0
0
8
8
16
16
0
0
0
16
2
16
8
12
0
0
0
0
0
16
4
16
16
0
16
0
0
0
0
0
4
0
28
8
8
0
8
0
1
0
8
0
2
8
8
2
16
0
0
8
8
16
16
16
0
0
0
0
24
0
0
0
0
0
8
16
16
16
0
0
0
0
0
0
16
0
0
0
0
0
0
0
1
2
0
0
0
0
0
0
3
4
0
0
0
0
8
8
8
0
0
0
0
4
8
2
2
2
0
0
0
0
0
2
0
0
8
8
58
2
0
4
1
4
0
0
0
0
16
1
0
0
0
0
8
8
0
0
0
0
0
24
0
0
0
0
0
0
16
0
0
4
0
0
0
0
0
0
0
0
8
0
8
0
0
0
1
16
0
0
0
0
20
0
0
0
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
16
0
1
8
0
1
0
0
8
0
0
0
20
20
0
0
9
0
0
0
4
8
0
0
8
0
0
0
0
8
8
0
0
0
0
1
1
0
0
0
16
16
16
0
0
16
0
0
0
0
0
0
0
0
8
8
8
0
25
0
0
0
0
0
0
0
0
4
0
0
0
0
16
0
0
16
0
0
8
0
0
0
0
0
0
0
0
8
0
0
0
0
0
16
0
0
0
18
0
0
56
32
1
16
0
8
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
0
0
0
0
0
0
0
3
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
1
1
0
0
0
0
8
0
0
0
0
0
0
4
4
0
1
0
0
17
1
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
1
1
0
16
0
0
0
0
16
0
32
32
32
0
0
20
0
0
24
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
16
17
17
0
0
0
24
0
0
0
0
0
0
0
0
0
8
0
0
0
0
8
2
0
16
16
1
0
0
16
16
16
32
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
8
0
0
4
4
4
4
0
24
16
0
0
28
0
0
0
24
0
0
0
0
0
0
0
2
22
20
0
0
0
0
0
0
0
0
0
16
0
13
0
0
0
0
0
0
0
0
0
0
0
0
32
0
8
0
8
8
4
0
0
0
0
20
0
0
0
20
0
0
0
8
8
0
0
0
0
0
1
0
0
24
16
0
4
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
4
4
0
0
0
0
6
0
4
0
0
8
0
0
0
16
8
0
0
0
0
0
0
0
0
0
8
0
18
22
0
8
8
0
0
34
16
16
0
0
16
0
0
0
0
0
0
16
8
8
6
8
8
0
0
0
0
0
16
0
0
0
0
8
8
0
0
2
0
0
4
0
0
24
0
0
0
0
0
1
1
0
0
8
0
0
0
8
0
4
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
26
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
8
0
0
0
14
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
2
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
36
0
8
33
33
8
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
36
0
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
24
24
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
16
0
0
0
0
0
0
16
0
0
0
0
0
8
0
0
4
16
16
16
0
0
0
0
0
8
16
0
0
0
0
0
0
8
0
1
24
0
0
0
0
20
20
20
24
0
0
0
16
0
0
0
18
0
0
0
0
0
4
4
16
12
12
12
12
4
0
12
0
4
0
0
0
0
0
0
0
0
0
16
16
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
8
0
0
0
0
32
0
0
0
4
4
0
20
8
8
8
0
4
0
0
0
25
25
0
20
0
0
0
16
0
0
0
0
0
9
1
0
0
0
1
8
0
0
16
13
13
13
0
4
0
0
24
0
24
16
0
0
8
8
1
0
8
0
16
0
0
0
3
0
0
16
16
0
0
3
0
0
0
0
0
0
0
0
0
4
16
0
0
0
0
0
0
0
0
0
8
1
1
8
0
16
0
0
0
0
0
0
0
0
14
0
0
0
8
8
16
4
0
0
0
2
0
0
0
0
16
0
0
22
0
0
0
0
0
2
4
8
0
0
0
8
0
5
0
0
9
0
0
0
0
0
0
0
0
0
2
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
4
0
0
0
0
0
0
4
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
25
0
0
0
8
8
16
8
8
0
1
16
16
8
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
17
17
12
0
0
0
0
0
0
0
0
0
0
0
4
1
16
0
0
16
16
20
2
0
0
0
0
0
0
0
8
8
16
0
0
0
0
0
8
0
16
0
0
0
16
0
2
0
0
0
2
2
0
0
0
4
4
8
8
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
4
0
0
0
8
0
0
20
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
24
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
1
8
0
0
8
8
8
8
6
4
0
16
0
0
2
2
2
0
0
0
0
0
0
16
2
0
0
0
0
4
16
16
0
0
0
0
0
0
0
0
20
20
0
0
0
16
16
0
0
0
0
0
8
0
0
0
0
0
0
0
0
8
0
0
0
4
0
0
0
0
0
16
0
0
16
0
0
0
32
32
0
0
0
0
0
8
0
0
16
16
0
0
0
1
0
0
17
0
0
0
2
16
16
16
16
0
0
0
24
6
6
0
0
0
4
18
18
0
0
0
0
0
0
8
8
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
2
2
2
1
1
0
0
0
0
0
0
0
16
4
0
8
0
0
0
2
16
0
8
8
0
16
16
0
0
0
16
0
0
8
0
16
0
0
0
16
0
0
0
48
8
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
3
0
11
11
0
0
0
0
0
0
8
8
0
0
0
0
0
16
0
8
0
16
0
4
0
8
0
0
16
0
8
8
0
0
0
8
24
4
4
4
0
0
8
8
0
0
0
0
0
0
0
0
0
22
0
0
0
28
16
0
1
1
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
16
16
0
8
8
0
0
1
1
0
0
8
8
0
16
0
0
0
0
1
16
16
24
32
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
24
0
16
0
0
0
8
8
0
8
0
0
0
0
0
40
0
0
0
0
8
8
8
8
0
0
0
0
0
0
0
0
0
40
40
0
0
0
0
0
0
0
0
0
0
0
2
17
0
0
0
0
8
0
0
0
0
0
0
6
0
0
0
0
0
0
0
2
0
0
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
16
16
0
0
0
16
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
4
0
0
2
0
0
8
8
2
0
0
16
26
0
8
0
0
0
0
8
0
0
0
17
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
2
24
0
16
0
0
8
0
0
0
0
0
0
0
0
0
16
16
0
4
8
8
0
0
0
0
0
0
8
0
1
0
0
16
0
12
0
0
0
16
16
0
0
0
0
0
0
0
0
8
0
0
0
0
0
1
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
16
16
16
8
0
0
0
0
0
6
0
16
2
0
0
0
0
0
0
8
0
0
0
0
0
4
4
0
0
0
0
2
0
0
0
0
0
16
0
4
8
16
32
0
8
8
8
0
0
0
0
0
0
0
0
4
16
8
0
0
0
0
0
0
16
0
0
8
0
0
0
0
33
16
16
8
8
0
16
0
0
0
0
0
0
0
0
28
25
0
16
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
2
0
20
20
0
0
8
0
0
4
0
0
0
24
0
16
24
0
0
24
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
12
0
0
0
8
0
0
0
0
0
0
0
8
0
0
0
4
2
0
0
0
2
0
0
0
0
0
0
8
0
8
0
0
0
0
0
24
0
0
0
0
8
8
0
16
0
0
0
8
8
8
0
0
8
1
0
0
4
0
0
0
0
16
0
0
0
0
8
0
0
0
0
0
8
0
8
8
8
8
16
0
0
0
0
0
16
0
8
8
16
16
16
16
0
4
4
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
6
0
0
0
0
0
0
8
0
40
0
0
0
0
8
0
0
0
0
0
4
0
0
0
19
4
0
0
0
0
0
24
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
3
0
8
8
0
0
0
0
0
0
4
0
0
0
0
0
8
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
32
0
2
0
0
8
0
0
0
16
0
0
8
0
0
0
0
0
0
0
8
8
8
8
0
0
0
4
0
8
0
0
8
0
0
16
8
8
8
0
16
6
0
0
0
0
0
0
0
8
16
8
8
0
0
0
0
8
8
0
0
16
0
0
0
0
0
0
0
16
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
4
0
0
1
0
0
16
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
16
0
4
0
0
0
16
0
0
0
0
24
16
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
4
4
28
0
0
0
20
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
8
8
24
0
0
0
0
0
0
16
16
8
0
0
0
0
0
0
8
0
0
8
0
0
0
0
0
0
0
8
16
8
8
48
32
0
0
0
8
8
16
0
0
0
0
0
0
0
0
0
0
0
0
8
8
19
1
8
8
8
8
8
0
0
0
0
0
24
0
0
0
0
0
0
4
16
0
0
2
0
0
0
0
0
0
1
0
0
9
9
0
0
0
11
0
0
0
0
8
8
0
0
0
0
0
0
0
24
0
0
0
0
0
0
0
0
0
0
0
4
4
4
0
0
0
0
0
8
8
8
8
0
0
0
0
0
8
8
0
1
0
0
0
0
0
16
16
0
1
16
0
0
0
0
8
1
1
0
0
0
0
0
22
0
0
0
0
0
0
0
16
0
0
16
0
0
0
2
0
0
0
0
0
0
8
16
0
0
12
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
18
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
26
0
0
0
24
24
24
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
4
4
0
0
0
0
0
0
0
48
0
0
0
0
0
0
0
0
0
0
0
0
0
20
20
20
0
0
0
8
8
8
0
16
0
0
0
0
16
0
0
1
8
8
8
0
0
24
8
8
0
0
16
16
0
0
0
10
0
0
0
0
0
2
0
0
0
8
8
8
0
8
2
2
8
2
2
2
0
0
0
0
0
0
32
0
0
0
0
0
16
16
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
57
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
20
32
0
0
0
0
0
0
0
0
0
0
16
4
0
0
0
4
4
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
2
0
0
0
0
8
8
8
8
8
4
0
0
0
0
0
0
6
6
0
0
1
0
0
0
0
0
0
2
0
0
0
0
0
2
2
2
0
0
4
0
0
0
0
0
0
0
0
1
0
36
0
0
0
0
4
4
0
8
2
0
0
1
0
0
0
0
0
24
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
2
0
16
16
8
8
0
8
12
0
0
8
8
0
0
0
0
0
0
0
8
0
8
5
24
24
0
0
4
4
16
0
8
0
0
0
0
0
0
24
24
0
0
0
0
8
0
8
0
16
16
8
0
0
2
0
0
0
0
0
16
1
1
0
0
8
0
0
0
0
0
0
16
16
0
0
0
0
20
4
4
0
0
0
8
4
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
1
0
8
8
8
20
8
28
8
0
15
0
17
4
0
0
24
0
0
0
0
0
0
0
4
4
0
0
0
2
2
2
2
0
8
1
8
0
16
16
0
32
0
8
16
0
0
0
0
0
0
8
16
16
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
2
0
0
6
6
6
6
6
1
1
1
0
0
0
12
12
0
0
0
0
0
0
16
16
16
8
0
16
16
0
0
32
0
4
0
0
0
0
0
0
0
16
11
11
0
0
0
0
0
0
0
0
2
2
0
0
16
16
0
8
0
8
0
0
0
16
16
0
0
28
33
16
0
0
0
0
0
0
0
0
0
0
8
0
0
16
0
0
8
0
8
8
0
0
0
0
20
12
0
8
8
0
0
8
8
0
0
0
16
16
16
16
6
0
4
18
0
16
0
4
4
16
0
2
2
2
2
2
2
0
0
0
16
16
16
0
8
0
0
8
0
6
22
0
0
0
9
8
4
16
16
0
0
16
0
0
0
8
4
4
4
4
4
4
16
0
0
0
0
1
4
4
8
18
16
16
16
0
0
8
8
0
0
10
4
8
8
8
8
2
0
0
0
0
0
8
8
8
0
0
16
0
0
0
8
0
0
0
8
8
8
0
0
4
4
8
8
8
8
0
17
8
41
0
0
0
8
0
19
0
0
0
8
8
8
16
32
0
1
1
0
0
0
8
0
0
8
8
0
8
6
0
0
16
4
0
8
0
0
0
8
0
16
1
1
16
2
0
0
0
0
16
0
2
2
0
0
1
1
8
0
1
0
0
16
8
0
0
0
4
16
8
2
16
1
0
0
0
0
0
8
8
8
0
0
8
0
0
2
2
2
0
0
16
0
8
0
0
0
0
0
8
0
0
8
8
0
0
8
10
0
0
2
2
8
0
0
0
0
10
0
16
16
8
8
16
0
0
8
16
16
16
16
16
8
0
2
14
16
0
0
0
8
8
8
0
0
8
8
0
0
16
8
24
24
24
0
6
6
6
0
8
8
0
8
0
0
0
0
8
5
0
0
0
0
0
0
0
0
4
16
16
6
6
0
2
0
0
0
0
0
0
0
0
16
16
16
16
16
33
0
0
0
18
0
16
8
0
0
0
8
8
8
8
8
8
0
0
0
0
0
16
16
0
18
16
19
16
4
2
0
0
0
1
1
32
1
1
1
0
0
16
1
0
0
32
32
0
0
24
0
2
2
0
18
0
8
4
8
8
8
8
7
7
0
0
0
8
0
1
8
8
0
0
0
16
4
0
0
0
16
16
16
16
16
8
16
1
1
8
0
4
4
4
8
0
12
8
16
0
32
1
1
0
0
12
8
0
1
0
0
8
8
0
2
2
0
0
24
0
0
0
0
8
16
16
0
0
8
2
0
0
0
8
8
0
8
8
8
0
0
8
0
9
0
0
0
16
8
32
0
0
2
2
0
16
0
8
0
0
0
19
0
24
24
24
16
16
16
8
8
7
7
0
0
0
8
8
0
8
25
25
25
0
0
0
0
0
0
0
48
0
0
10
0
0
8
8
0
8
8
0
8
0
0
0
0
0
0
0
0
16
0
8
8
8
16
8
32
0
8
0
8
1
0
2
0
0
0
14
8
8
8
0
4
0
8
8
0
24
0
0
0
16
16
2
16
8
0
0
0
0
0
4
8
8
0
0
1
1
1
0
0
0
1
24
0
0
0
8
0
0
2
0
0
24
16
0
0
0
20
24
20
8
0
12
0
0
16
0
0
0
0
0
16
0
10
0
0
0
0
33
0
0
0
0
16
0
0
0
8
16
16
0
0
0
4
0
0
16
16
16
0
0
0
0
8
8
0
0
0
12
12
0
0
2
2
2
0
0
0
0
0
4
0
16
16
8
8
8
8
8
8
8
0
16
8
8
8
0
0
0
0
8
8
8
4
0
8
8
0
0
0
0
8
0
0
0
0
0
0
4
8
8
0
0
1
0
0
0
0
0
0
0
0
8
8
0
0
8
8
0
0
1
0
0
0
0
8
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
13
1
1
0
0
16
0
0
0
0
0
0
0
0
0
0
16
0
0
0
8
8
8
2
21
16
0
0
0
0
0
16
16
8
0
16
16
1
0
0
0
0
0
38
0
52
20
20
16
24
4
0
8
8
4
0
0
4
0
0
0
2
16
16
16
16
0
8
8
0
0
0
8
8
32
16
16
16
0
0
0
8
1
0
0
0
0
8
16
0
0
24
0
0
8
42
0
8
0
0
0
0
0
2
2
0
23
32
8
16
28
28
8
0
24
8
0
0
8
0
0
0
0
16
0
0
4
8
8
0
0
0
0
0
0
0
8
24
24
0
0
2
0
0
0
0
8
8
1
1
8
0
0
0
8
0
0
8
28
16
0
0
0
0
0
0
16
16
8
8
8
8
8
8
1
17
16
2
16
16
18
1
0
2
0
0
0
8
9
16
16
0
18
18
4
4
8
0
24
24
8
1
0
0
0
20
20
0
4
4
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
0
20
0
8
0
0
0
0
0
4
6
0
8
0
0
0
8
8
8
16
16
0
0
0
0
8
18
4
4
2
0
0
0
20
8
0
0
0
0
4
8
0
0
0
0
0
8
0
0
8
0
0
0
0
0
16
12
8
8
8
0
4
0
16
0
0
0
16
2
2
8
0
0
0
0
0
16
0
12
0
0
16
0
0
0
0
0
0
8
16
0
0
0
0
2
0
0
16
0
8
8
0
9
16
0
0
0
0
0
8
8
0
0
8
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
8
0
24
16
0
0
0
0
0
16
4
0
0
8
16
16
0
0
0
0
0
8
8
0
0
0
0
16
0
0
0
0
8
16
8
8
8
8
0
8
0
0
0
40
0
0
2
16
0
0
0
8
0
0
1
1
0
0
0
0
0
8
8
0
0
8
8
8
0
0
8
0
0
0
0
8
8
2
0
8
8
8
4
4
0
0
8
0
0
0
4
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
4
0
8
8
16
16
9
20
20
20
8
2
0
0
25
20
0
26
8
0
0
0
0
0
8
0
16
0
0
0
1
1
0
20
20
0
8
16
0
8
8
8
0
1
0
0
8
0
0
0
1
1
0
1
2
0
0
2
0
0
0
1
16
24
0
0
0
8
8
0
0
0
0
0
8
4
4
0
0
0
0
0
8
8
1
18
0
0
4
0
0
0
16
17
8
1
16
0
0
6
6
0
24
0
0
8
8
16
16
0
0
16
16
16
0
8
8
8
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
8
0
32
0
11
1
0
0
16
26
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
17
17
0
0
0
19
0
4
0
0
2
8
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
4
0
0
16
0
4
4
1
1
1
8
4
4
4
0
0
0
0
0
8
19
19
19
0
0
0
0
0
0
8
8
8
0
2
16
0
0
0
5
0
0
16
16
0
0
0
22
22
22
0
0
8
8
8
16
16
8
1
8
8
0
0
0
8
16
0
0
0
0
0
0
0
0
0
0
8
0
4
8
16
16
16
0
0
0
0
8
0
2
0
2
0
0
0
0
0
16
16
0
0
0
0
0
8
0
0
8
16
0
0
0
8
1
1
16
16
16
16
16
25
25
0
4
0
0
0
5
32
16
16
0
8
4
8
8
4
0
0
8
8
0
0
0
0
0
0
0
0
0
0
4
8
24
24
2
0
0
8
0
8
0
0
0
0
0
20
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
4
8
4
0
2
8
0
8
0
0
16
8
8
0
4
8
8
0
8
8
0
0
0
0
0
0
0
0
0
8
1
0
28
16
16
8
0
0
0
0
0
0
8
0
0
0
0
16
2
4
0
0
8
8
0
8
8
8
8
0
2
0
0
0
0
0
0
0
0
18
0
0
0
8
28
0
3
3
0
0
0
0
0
5
8
8
8
0
0
0
24
8
0
36
0
0
0
0
1
0
0
8
8
16
0
0
0
0
0
0
8
8
0
0
8
0
0
0
0
0
0
8
0
16
16
4
0
16
16
0
1
0
0
0
0
8
8
0
0
0
0
0
0
0
16
16
16
0
8
24
0
0
0
0
0
0
0
8
0
1
8
4
14
16
0
0
0
0
0
1
0
9
0
1
1
0
4
0
0
0
0
0
0
0
0
8
8
0
0
0
16
0
0
17
2
0
0
0
0
0
16
0
8
16
16
0
0
0
4
0
0
2
0
4
4
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
25
0
1
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
32
0
0
0
0
0
0
32
16
16
0
0
0
8
0
0
0
0
8
0
0
0
0
16
8
0
0
0
8
4
4
4
4
0
0
0
0
1
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
8
8
8
0
0
0
0
0
0
16
16
16
8
4
0
0
0
0
0
0
0
0
0
0
0
16
0
0
8
0
8
24
0
8
2
2
0
0
0
0
12
0
0
0
0
16
0
0
0
0
2
0
0
0
0
0
16
0
4
0
0
0
0
0
0
0
16
16
0
0
2
0
0
0
0
0
16
0
0
0
1
1
1
1
1
1
0
0
8
0
0
0
0
0
8
8
0
0
0
12
0
24
0
0
0
16
0
16
0
0
0
0
8
0
56
0
0
0
0
0
12
0
0
0
0
0
0
2
24
1
8
8
4
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
32
16
16
0
16
16
0
0
24
24
0
0
25
0
0
0
8
8
8
8
8
16
8
0
0
2
0
0
0
0
0
0
1
0
0
0
8
4
0
24
0
8
0
0
0
0
16
20
20
20
0
0
0
16
0
0
0
8
0
0
3
0
0
18
10
0
8
16
16
8
0
0
24
0
16
16
0
0
8
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
16
4
0
0
4
0
0
0
4
26
0
0
0
16
16
0
0
0
0
0
0
0
2
2
0
0
0
8
0
8
0
0
0
0
0
0
0
1
1
0
0
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
12
22
22
7
0
0
0
0
0
1
0
24
0
16
16
0
0
0
8
0
0
1
8
0
8
8
0
0
0
0
16
0
0
0
0
1
1
1
0
4
0
8
8
8
8
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
16
4
0
0
0
0
0
0
0
0
0
0
0
16
8
0
0
0
0
0
16
0
0
2
0
8
0
0
0
4
0
0
0
0
0
8
8
0
0
0
0
0
0
0
1
0
16
16
2
16
0
0
0
0
0
0
0
0
0
0
0
0
34
16
0
0
4
2
2
0
0
24
24
24
0
8
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
16
16
0
0
0
8
0
0
0
0
0
0
16
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
16
0
0
8
8
0
0
0
0
0
0
0
0
0
0
16
1
8
0
0
0
0
0
0
24
0
0
0
16
0
0
0
0
0
24
8
8
0
0
0
0
0
0
10
0
0
0
0
0
0
0
0
0
0
8
8
16
0
0
9
0
0
0
4
0
0
8
36
0
0
0
0
0
0
0
0
41
0
0
0
0
8
8
8
8
0
2
2
0
0
2
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
4
4
0
0
0
2
0
0
0
0
0
30
30
30
30
30
0
0
16
16
0
0
8
8
0
8
4
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
32
8
9
0
16
0
0
0
0
0
2
3
24
24
0
0
24
0
0
0
0
0
16
0
0
0
4
4
4
4
4
4
4
4
4
4
16
0
4
25
0
0
0
2
4
8
0
0
0
0
0
8
0
0
0
0
0
0
24
16
16
0
2
4
4
0
4
4
16
0
0
0
0
0
0
20
1
0
0
0
24
16
16
16
0
0
0
12
2
8
0
0
0
2
2
2
0
34
0
0
0
20
0
0
0
0
0
20
0
0
0
8
8
0
0
21
0
36
0
27
0
6
16
20
32
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
8
0
0
0
0
8
0
4
0
4
0
0
0
0
0
0
0
0
0
0
24
24
0
0
4
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
16
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
10
10
0
0
0
0
0
16
4
0
16
8
0
0
0
0
0
0
32
16
16
4
0
0
0
0
16
16
0
0
0
0
22
0
22
8
0
0
0
1
0
16
0
0
16
0
0
16
0
0
4
0
0
0
0
1
0
0
0
2
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
0
0
8
8
8
0
0
0
0
0
0
0
8
0
0
0
0
0
2
2
8
0
0
0
0
0
0
0
0
24
0
0
0
0
0
3
0
0
8
0
0
8
0
0
0
0
0
8
2
2
0
0
8
0
0
0
0
0
0
0
0
8
8
0
8
0
0
0
8
8
8
2
0
0
0
0
0
0
1
20
0
2
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
16
16
0
0
0
0
1
0
0
0
8
8
8
0
0
4
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
8
8
35
35
35
3
0
16
16
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
12
0
16
0
0
6
6
0
0
2
1
1
0
0
0
0
0
0
0
0
16
16
0
0
0
8
8
0
0
0
0
0
0
0
0
24
0
0
0
0
0
0
0
0
0
0
0
0
1
0
16
4
48
8
0
0
0
0
16
0
0
0
0
0
18
18
0
16
0
0
20
0
16
0
0
0
1
1
0
0
0
0
0
0
4
4
0
0
2
2
8
0
16
0
2
2
2
0
0
0
0
8
0
0
0
0
0
0
0
0
0
4
0
0
0
8
8
8
0
0
0
0
0
0
0
8
8
0
0
4
4
4
8
8
0
0
0
0
0
0
0
0
4
16
0
0
0
0
0
0
0
16
16
0
0
0
0
50
50
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
8
16
16
16
0
0
12
12
8
8
0
0
0
0
4
8
8
0
0
16
1
12
0
8
8
8
0
16
2
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
4
4
16
8
0
4
0
0
0
0
0
0
20
0
8
0
8
0
0
0
16
0
0
0
0
0
4
0
0
8
0
0
0
0
0
33
0
0
0
8
0
0
0
0
0
0
0
0
16
0
8
0
24
32
24
0
0
8
0
0
0
0
0
48
48
0
0
0
0
0
16
18
32
0
0
0
0
0
0
0
18
0
0
0
8
8
1
0
0
0
4
0
8
0
0
0
0
0
0
0
0
0
0
1
8
0
8
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
6
0
0
0
0
0
0
0
20
16
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
17
17
17
17
0
0
0
0
0
0
0
0
0
0
0
0
0
0
20
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
24
0
4
4
0
0
0
0
0
16
0
1
0
0
0
8
0
0
0
0
0
5
16
0
8
16
16
8
0
0
0
0
12
8
4
0
1
0
0
0
0
0
0
0
0
0
40
0
0
0
0
0
0
0
0
0
32
32
0
0
8
8
16
0
0
0
16
8
1
0
0
0
8
0
1
1
0
0
0
0
0
0
0
0
8
4
0
32
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
8
8
0
0
0
0
8
16
0
0
1
1
0
0
0
0
16
0
0
12
0
0
0
0
0
8
1
1
0
0
16
24
24
0
0
8
16
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
6
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
9
0
1
1
28
0
0
0
16
16
16
0
0
0
0
8
2
0
0
2
2
2
2
0
0
0
2
8
8
8
0
0
0
0
16
0
0
0
0
4
0
0
0
0
0
0
0
2
0
0
0
0
4
0
0
8
8
8
8
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
2
2
4
4
4
4
4
0
0
0
0
0
0
0
0
1
0
8
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
15
0
0
0
0
0
0
1
0
0
4
24
0
8
0
0
0
0
8
1
16
0
8
8
0
4
40
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
16
0
0
0
16
16
16
0
0
0
0
0
0
0
4
0
0
0
0
0
16
16
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
18
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
40
2
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
4
1
4
20
4
0
16
0
0
0
0
60
0
0
0
0
0
0
0
0
0
0
8
16
16
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
4
4
2
8
8
0
0
0
0
0
0
16
16
0
8
16
0
0
8
8
0
0
0
40
0
0
0
0
0
0
1
0
0
10
0
0
0
24
0
16
0
0
1
8
0
8
0
0
0
0
0
0
1
0
0
0
0
8
0
8
0
0
0
0
0
17
17
8
0
0
0
1
1
0
8
0
0
0
8
8
8
8
14
8
0
0
0
0
2
8
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
1
1
0
0
40
40
0
0
0
0
0
4
0
40
0
8
8
0
0
0
16
16
16
0
16
5
5
0
0
0
0
0
16
0
0
0
8
8
24
5
4
4
24
4
16
16
16
0
0
0
0
0
0
0
0
0
0
4
8
8
0
0
0
16
0
0
0
20
0
26
8
0
4
0
0
0
0
0
0
1
0
0
8
8
8
8
0
0
0
0
8
16
16
16
8
8
0
0
0
0
8
8
16
0
0
8
0
0
0
8
0
2
8
0
0
0
4
25
25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
8
8
8
16
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
20
20
1
1
0
0
0
0
0
0
0
0
0
0
0
2
17
8
0
0
0
0
0
8
1
1
1
0
0
0
8
8
1
1
6
16
0
0
22
0
0
0
0
0
0
0
0
0
0
0
8
8
4
16
0
0
0
0
0
2
2
2
2
2
16
16
0
12
0
0
0
0
16
8
0
0
0
0
2
8
2
16
0
8
0
32
0
0
0
0
16
0
0
4
0
0
0
0
8
8
48
8
8
2
2
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
25
25
0
0
6
0
0
0
0
16
0
24
8
8
0
0
0
0
4
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
8
8
0
0
8
8
8
8
0
0
0
1
0
6
0
0
0
0
0
0
0
0
0
8
8
8
8
8
8
8
8
8
0
0
0
0
0
0
0
0
16
8
0
0
0
0
0
0
0
0
0
0
0
0
9
9
0
0
0
16
16
16
16
0
0
0
0
0
0
16
16
0
1
40
40
32
0
0
0
4
8
8
49
0
0
3
16
0
0
6
8
16
18
2
0
0
0
4
16
14
14
14
0
24
0
0
8
8
8
32
10
8
8
4
0
12
4
0
0
0
0
16
16
16
0
0
0
0
0
0
0
0
16
0
16
16
0
0
0
8
16
16
0
0
4
0
0
0
1
17
0
0
16
16
0
8
0
0
8
0
0
0
0
0
16
0
0
8
4
16
8
8
15
15
1
1
0
0
0
8
0
8
8
0
0
0
8
0
1
0
0
0
0
1
17
0
0
4
4
0
8
8
0
2
2
2
2
0
0
0
8
8
8
8
2
25
1
1
1
1
8
3
0
8
24
24
8
16
8
8
16
0
0
0
0
16
0
0
18
8
16
0
4
4
16
0
0
8
0
0
0
0
0
0
16
16
16
8
36
36
36
16
8
1
1
1
1
2
16
16
4
0
8
4
0
0
8
8
8
8
1
0
0
32
40
4
4
4
4
0
0
0
8
8
8
0
4
1
0
0
4
0
0
0
16
4
4
16
0
16
16
8
8
16
0
16
16
16
0
0
8
8
16
16
16
0
8
0
8
9
8
8
0
0
0
4
17
0
16
16
0
0
0
0
8
4
4
0
8
0
0
0
0
4
0
0
6
4
4
4
4
4
4
0
0
0
2
0
4
0
0
0
0
0
0
0
0
0
0
0
0
4
4
4
32
0
8
8
16
16
16
8
0
8
6
0
0
0
0
0
4
4
1
48
32
4
0
0
0
0
0
8
8
0
0
0
0
16
8
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
8
0
0
0
0
0
0
8
0
0
0
0
4
4
0
0
0
8
12
12
4
4
8
8
0
8
8
16
0
8
8
2
2
0
0
16
16
0
16
1
0
0
18
0
2
40
8
8
16
16
16
0
0
16
2
0
0
9
16
16
1
1
0
0
16
0
0
0
0
8
8
8
12
12
12
1
0
2
0
16
24
24
24
24
24
0
16
0
0
16
16
0
0
16
16
16
16
16
16
16
16
16
16
16
16
16
2
0
0
16
0
0
1
8
8
16
0
4
8
28
28
28
20
8
0
2
2
2
0
0
0
8
0
0
4
0
0
0
8
8
0
0
0
16
0
0
0
0
0
0
8
16
1
8
8
8
8
8
8
8
0
0
8
17
17
4
32
0
0
0
0
0
0
0
16
16
8
8
16
1
0
4
0
0
8
0
10
10
10
10
8
16
16
0
2
2
2
16
16
12
8
0
0
8
8
8
8
8
16
16
35
0
0
2
16
16
4
8
8
0
1
1
3
16
8
0
0
0
0
0
0
8
8
12
1
1
1
20
16
0
0
0
16
4
0
0
45
8
0
0
0
0
8
4
4
0
0
0
4
0
2
2
8
8
0
0
0
4
4
4
16
2
16
24
2
8
8
8
0
0
16
8
8
8
0
16
0
2
16
0
1
0
16
16
16
8
8
0
0
0
0
0
24
0
9
8
25
25
0
40
0
0
0
0
0
4
4
0
0
8
8
8
8
0
0
1
8
1
8
0
0
0
0
24
24
24
24
24
0
4
8
0
0
20
1
20
20
16
8
0
0
0
8
0
8
0
10
0
16
16
8
8
0
8
0
0
8
2
0
4
0
0
0
2
2
2
0
0
0
0
0
16
16
11
0
16
16
16
16
17
1
8
1
1
1
1
0
8
0
8
8
0
0
8
4
24
24
16
24
8
1
0
0
4
0
2
1
1
1
8
8
8
16
0
0
0
0
0
0
1
18
18
16
16
32
32
32
32
32
32
0
1
1
0
8
0
0
16
16
32
32
0
4
4
0
0
0
20
20
20
8
0
0
4
2
0
0
4
0
0
8
8
0
0
0
0
20
0
16
0
24
28
28
28
4
18
0
0
0
0
0
0
0
0
16
16
16
16
16
8
8
0
0
0
0
16
24
0
4
4
0
16
0
0
0
0
8
8
0
8
0
2
0
0
0
16
4
0
0
0
0
0
4
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
24
0
16
8
8
8
0
16
16
3
1
2
2
16
16
2
16
8
0
0
8
8
8
0
0
17
9
25
0
8
0
0
0
0
0
0
0
16
16
16
8
16
16
1
0
0
24
24
1
2
0
16
8
16
16
16
16
8
8
8
8
0
2
0
8
8
16
16
16
0
24
24
24
4
0
0
0
0
0
0
0
0
16
0
0
0
0
0
8
8
8
8
12
8
8
0
0
0
0
0
16
8
0
0
39
0
0
0
4
16
8
8
8
8
2
0
0
0
0
0
0
1
0
16
0
16
16
8
0
32
32
16
16
0
8
0
8
20
0
0
0
0
8
1
8
32
0
0
16
0
0
1
8
16
8
0
0
16
0
16
16
6
0
0
16
32
32
32
32
16
16
16
16
0
9
9
9
0
0
4
0
20
20
8
0
0
0
0
0
0
8
8
0
0
0
8
8
16
24
24
16
16
0
0
8
8
22
4
4
0
2
8
16
4
0
8
8
8
8
8
8
8
16
8
0
0
0
0
8
0
0
1
9
0
0
16
16
0
0
0
0
0
4
16
8
8
16
8
0
0
16
16
16
8
16
8
17
0
0
0
0
28
2
48
0
1
0
0
8
0
0
0
0
36
36
0
16
0
0
8
8
8
0
0
0
16
16
0
0
0
1
17
17
0
16
0
0
0
1
4
0
0
48
48
48
48
48
48
56
4
4
0
0
0
0
0
16
0
0
0
0
0
10
10
10
0
0
0
17
17
0
0
0
1
1
4
0
0
0
0
0
0
0
0
0
16
8
8
8
16
0
0
16
0
0
0
0
0
0
0
0
0
8
0
20
16
16
8
8
2
1
1
0
8
8
8
8
8
0
0
0
8
22
22
0
0
0
8
8
48
16
16
16
8
40
40
40
8
40
8
8
0
0
57
57
57
0
0
12
0
0
8
8
0
0
0
16
16
16
16
16
16
0
0
4
4
0
22
8
8
2
0
16
16
32
32
0
8
0
8
8
8
8
8
0
0
0
0
0
8
4
0
0
1
0
0
0
0
8
0
8
0
12
16
0
18
0
0
0
0
0
1
8
8
0
0
0
8
0
0
0
0
1
0
0
0
2
2
2
16
0
16
0
8
8
8
20
0
8
0
8
0
16
16
16
16
16
4
0
0
0
8
0
0
8
0
32
0
0
17
16
16
0
0
0
16
16
0
8
20
20
20
16
16
16
16
16
16
16
8
2
8
8
16
2
2
2
2
2
2
2
1
0
0
0
16
16
1
0
8
8
2
0
4
1
1
0
0
0
0
0
0
8
8
0
0
0
0
0
32
32
32
24
20
20
20
20
0
0
0
8
8
0
16
0
25
0
28
8
0
16
16
8
0
0
16
8
8
24
24
8
0
0
16
0
0
1
1
28
0
8
1
0
0
16
0
0
2
0
0
16
0
0
0
0
0
0
8
8
35
1
5
5
2
8
8
0
0
8
0
16
0
0
32
32
16
2
0
8
0
8
8
8
8
8
8
16
4
10
0
0
2
8
8
8
2
2
0
0
0
20
8
8
0
0
0
0
0
0
0
0
8
8
8
60
0
0
0
0
0
0
0
0
8
16
16
0
2
2
2
2
2
2
1
1
1
1
0
0
0
4
4
4
0
0
2
8
0
0
0
0
0
8
8
12
0
40
16
8
2
8
8
8
0
0
0
0
1
1
1
1
0
0
0
0
4
2
2
2
1
1
0
0
0
8
8
8
30
16
31
31
31
41
41
41
0
32
8
0
0
0
24
0
4
4
0
32
32
12
0
0
0
0
2
2
0
16
0
8
0
8
0
12
12
8
16
8
8
4
8
0
0
0
8
8
8
8
0
0
0
0
0
2
13
0
16
1
0
0
8
8
8
8
0
16
2
2
0
0
0
0
0
16
8
0
16
8
8
8
8
8
8
2
2
2
2
0
8
24
0
0
8
8
8
8
8
0
0
0
0
0
0
1
1
16
16
16
2
16
8
8
8
8
0
2
0
0
4
2
0
2
8
0
5
4
4
24
16
16
1
2
0
0
16
16
8
16
16
16
16
16
0
2
2
2
2
2
6
24
4
4
8
8
8
8
16
20
4
0
0
8
32
32
0
12
12
0
0
0
28
28
28
8
4
24
0
0
0
0
0
0
0
0
0
0
24
24
0
0
20
18
18
8
2
1
0
0
0
0
0
0
0
18
8
0
0
8
0
16
0
16
4
0
0
6
6
8
4
48
16
0
0
8
8
4
0
0
24
8
8
0
0
2
2
0
0
0
4
8
8
0
8
8
0
0
0
0
0
2
16
16
0
0
25
0
0
16
0
0
0
4
16
0
0
0
2
6
8
8
8
0
0
4
4
4
4
4
4
0
0
16
16
16
1
0
13
0
0
0
0
32
12
12
0
4
0
0
0
0
0
0
0
0
0
0
0
0
24
24
8
0
0
0
0
0
8
8
8
16
8
8
16
16
8
8
0
0
0
8
8
0
0
0
0
16
16
0
0
0
0
8
0
16
0
2
8
24
4
8
0
0
16
8
8
8
0
0
0
8
4
16
0
0
30
0
0
0
56
0
8
8
8
8
1
0
16
16
0
0
0
0
2
8
2
0
0
2
8
8
0
0
0
0
4
0
16
16
16
16
8
0
0
0
0
0
16
16
16
16
32
0
0
9
9
4
4
4
0
24
24
16
0
0
0
0
0
8
0
9
9
0
0
0
8
8
8
8
8
8
0
2
16
0
0
0
0
0
0
16
0
8
8
8
8
8
0
8
16
16
0
0
4
4
24
8
8
0
0
8
0
0
0
0
16
16
16
0
0
28
0
0
0
0
8
0
0
0
0
0
18
0
8
8
8
16
16
16
0
0
0
1
1
16
8
0
0
8
0
0
2
2
2
16
4
8
2
2
17
0
4
4
8
2
0
24
24
4
0
0
8
16
9
4
0
0
8
0
0
8
25
25
25
25
0
1
1
1
1
1
1
1
1
1
1
8
8
4
4
8
8
8
0
0
16
8
8
16
0
0
0
8
8
0
0
16
16
8
0
0
0
21
23
16
16
0
32
0
1
2
8
0
0
8
2
2
2
2
2
2
20
16
16
8
8
8
0
1
12
8
8
16
16
0
32
1
0
0
4
10
0
0
0
0
1
4
4
0
1
1
8
16
0
0
0
0
0
0
0
0
0
4
0
0
8
4
4
4
29
0
0
16
56
24
24
16
16
0
0
0
12
0
0
16
0
1
1
8
4
0
0
4
0
4
8
8
8
16
16
8
8
0
0
0
8
10
0
0
8
8
1
1
1
0
8
16
8
0
13
4
0
0
0
0
0
0
0
0
0
24
8
4
2
16
16
8
0
0
2
0
0
0
16
0
1
0
1
8
8
4
0
0
16
0
0
8
8
8
8
0
4
0
16
0
0
0
2
8
8
4
16
0
0
0
8
0
0
2
8
1
18
18
0
0
16
16
8
0
8
17
8
0
0
8
0
8
0
0
20
4
0
8
0
0
0
0
8
30
0
58
0
2
8
0
0
0
0
0
0
0
0
0
1
32
0
8
16
16
16
2
4
8
0
0
0
16
16
0
8
8
8
0
0
0
0
0
0
0
0
14
14
14
0
0
0
0
0
8
0
0
0
0
0
0
4
2
16
17
0
16
16
8
0
0
8
2
2
6
2
2
4
0
16
8
8
0
0
0
16
0
0
0
8
0
8
32
32
0
0
16
0
0
8
8
8
0
16
16
16
0
4
4
8
24
24
24
0
0
0
16
16
16
16
8
0
0
0
8
0
4
4
0
0
0
0
4
1
8
24
24
24
0
16
8
8
0
0
0
0
8
8
8
8
0
0
0
0
0
0
0
0
32
1
1
1
1
0
0
4
16
0
32
4
4
16
0
0
16
8
16
16
0
8
8
8
8
8
9
8
8
16
16
0
8
0
2
2
2
2
8
8
0
0
4
4
4
16
0
0
0
0
0
0
0
16
16
16
13
8
8
0
0
8
0
0
1
1
1
8
8
8
8
8
0
0
0
0
2
2
0
0
0
0
8
8
8
0
41
8
8
0
16
8
0
16
16
0
8
0
16
16
0
0
0
34
8
0
0
2
8
16
5
5
5
1
1
6
0
0
8
0
0
0
0
0
0
2
2
2
2
2
8
0
0
0
0
0
0
8
8
8
1
1
1
1
0
0
22
0
8
0
8
0
0
0
0
0
16
8
1
1
3
0
0
8
16
16
16
8
8
8
8
4
4
4
4
16
24
16
24
8
16
8
48
0
0
8
24
0
0
0
16
16
0
8
8
24
8
3
8
0
0
0
0
8
8
40
2
2
2
2
16
16
0
2
28
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
9
0
0
16
0
0
0
0
0
4
4
4
16
0
4
16
0
16
0
0
16
8
16
0
0
0
16
0
0
0
0
0
0
0
8
4
4
1
0
0
16
16
16
16
4
16
0
4
4
4
0
0
12
16
16
16
17
1
1
0
16
16
16
16
8
8
8
4
4
0
8
16
16
0
0
16
8
4
4
9
0
0
32
32
32
32
0
0
0
8
0
0
32
16
16
16
25
25
25
8
8
8
8
4
8
32
1
1
4
20
1
1
2
8
8
0
0
0
0
0
0
0
16
16
40
0
16
0
0
8
0
3
2
0
0
8
8
1
1
8
8
1
1
4
0
0
0
16
16
4
32
0
0
0
8
8
0
5
5
5
8
8
2
9
28
4
4
4
4
4
4
0
0
1
1
1
1
0
16
0
0
8
8
0
0
0
0
0
16
20
20
1
16
0
8
0
2
16
4
4
8
8
8
8
8
8
0
16
8
8
0
8
0
0
0
0
2
16
16
0
0
0
0
0
0
0
0
8
8
8
8
8
8
1
8
0
8
2
2
0
0
0
0
0
0
0
0
0
0
0
0
8
0
10
10
10
8
36
36
36
16
0
32
32
32
32
32
32
32
32
32
2
0
0
0
0
0
0
16
0
9
9
9
9
0
1
1
0
0
0
20
20
20
0
16
0
0
0
0
20
20
1
1
0
0
0
0
8
1
1
16
16
0
0
0
0
0
0
0
0
18
16
0
1
1
0
0
0
16
16
16
16
4
4
4
4
0
6
18
8
1
0
24
24
1
16
16
4
4
4
4
8
0
0
20
0
0
0
0
8
8
8
0
8
0
20
17
17
17
0
0
0
0
0
0
16
32
0
0
0
0
0
25
25
0
0
0
0
0
8
8
8
8
1
8
0
0
0
4
1
1
0
0
0
0
8
33
32
0
16
0
0
0
0
0
0
16
2
0
0
4
4
4
0
0
16
8
0
4
1
1
1
1
0
2
8
8
6
6
4
8
8
4
2
0
0
0
8
8
0
2
2
8
8
8
8
0
0
16
0
0
0
0
8
0
0
32
32
8
8
8
8
8
16
16
0
10
10
10
0
0
0
8
8
0
32
0
0
0
0
0
0
0
0
0
0
0
4
0
0
8
8
8
0
8
8
0
8
8
16
0
0
16
0
2
2
2
18
0
0
8
0
0
0
0
0
4
8
8
4
0
0
0
1
17
0
0
0
16
16
16
16
2
2
8
8
2
8
8
8
8
2
0
8
0
0
0
0
2
1
8
0
4
0
8
8
0
0
0
8
8
0
0
20
18
16
32
0
0
0
16
45
45
16
16
0
0
17
17
1
0
0
0
16
14
8
8
13
16
16
16
8
8
56
56
56
8
8
8
8
8
0
0
0
0
0
32
0
0
4
4
6
6
6
2
0
16
16
0
0
2
2
2
2
0
16
16
16
0
0
17
8
8
1
1
1
1
1
0
8
8
8
16
16
8
8
8
0
0
0
0
0
4
0
16
16
0
8
0
0
0
16
0
0
8
8
8
8
8
2
0
0
0
0
0
2
2
8
8
16
8
8
8
0
3
0
0
0
8
1
0
0
0
16
12
12
20
16
16
32
8
4
0
16
0
0
0
4
4
8
0
0
0
8
8
0
0
0
0
0
0
0
16
0
0
8
8
16
24
0
16
2
2
8
8
4
0
0
0
0
0
6
6
0
8
1
1
1
2
8
16
16
2
2
8
8
8
16
0
0
0
8
16
0
0
8
0
0
0
0
1
8
0
0
2
6
8
40
0
0
16
23
23
0
4
4
4
16
0
16
8
0
0
4
4
4
0
0
1
16
4
0
0
0
0
8
4
0
0
8
8
0
8
16
16
0
0
0
0
4
0
0
0
4
0
0
8
8
0
0
0
0
16
0
0
24
24
16
16
8
8
16
0
0
0
0
0
0
0
0
0
0
0
0
0
32
32
18
0
0
0
0
0
0
0
1
1
2
16
8
8
8
8
0
24
24
24
0
0
6
16
0
0
0
32
4
4
8
8
0
0
0
0
16
1
0
0
0
0
24
17
0
32
32
4
4
32
0
0
16
0
0
20
20
16
0
0
8
8
16
8
0
0
8
8
8
1
1
1
1
1
16
16
0
8
8
8
8
8
1
1
1
1
1
0
16
16
0
0
0
16
8
16
16
16
0
8
28
28
0
0
0
0
0
16
16
8
8
8
8
0
4
4
4
0
0
0
0
2
8
8
0
0
28
28
8
0
8
8
4
0
0
15
15
15
15
0
0
2
2
8
16
2
0
8
0
16
16
16
0
0
0
0
32
16
16
16
16
16
8
3
2
2
2
0
8
16
16
0
38
38
32
32
16
16
0
0
2
2
2
2
2
10
8
16
16
0
0
0
16
32
16
16
16
16
16
8
8
8
0
0
4
0
0
0
8
16
16
16
8
8
0
0
0
0
0
16
0
0
0
0
0
0
2
2
2
2
0
8
4
0
4
4
16
0
0
0
0
8
8
8
0
0
0
16
10
16
16
16
16
0
4
0
8
8
8
8
8
16
16
16
0
0
0
0
0
16
16
1
1
16
16
20
4
0
16
0
16
2
2
16
16
16
0
16
16
17
17
4
4
8
8
24
24
24
24
24
0
0
0
1
0
0
0
0
6
2
0
0
0
8
0
16
16
0
0
0
4
4
4
4
4
4
4
4
16
16
1
1
8
55
55
8
16
16
0
24
1
0
0
0
0
0
1
16
8
24
16
0
0
0
1
1
1
8
0
0
0
16
4
16
0
4
0
8
0
8
4
4
0
0
24
0
0
0
16
8
0
8
0
0
0
16
16
16
8
0
8
16
16
0
8
8
36
1
1
0
0
4
4
4
4
4
4
4
4
0
8
16
0
16
16
0
0
8
0
0
0
16
8
16
16
16
8
0
32
32
32
32
10
10
0
0
16
4
0
1
0
8
8
0
8
0
0
0
0
0
8
0
8
0
0
8
0
0
0
0
24
0
0
0
0
0
0
16
16
16
0
8
2
2
2
0
0
0
4
0
0
0
10
8
8
0
16
4
0
17
17
17
17
17
17
16
40
40
8
0
32
32
0
0
0
0
4
10
2
8
0
19
17
0
20
20
20
0
0
0
8
8
8
2
18
18
0
0
8
1
0
0
16
16
0
0
6
1
0
0
9
1
16
16
8
8
0
8
4
4
0
0
8
8
0
0
0
0
0
0
8
8
8
0
0
0
0
4
4
4
0
0
0
16
0
0
0
2
0
2
0
1
1
16
32
0
0
0
0
0
0
2
0
0
0
0
2
0
8
4
4
2
2
16
16
16
16
16
0
0
0
2
0
4
8
8
0
4
4
4
1
16
16
0
16
8
0
0
0
8
24
24
0
4
16
0
0
16
16
24
0
0
0
4
0
0
0
0
0
8
16
16
0
1
1
12
0
0
0
8
8
8
0
14
8
8
4
16
2
0
8
8
8
0
0
24
24
24
16
16
2
1
1
0
20
16
16
16
8
4
4
4
4
16
16
16
0
0
0
12
20
16
16
0
0
0
0
0
8
0
0
0
0
8
0
0
0
4
24
24
4
0
2
2
2
2
0
0
0
16
8
0
0
0
4
4
4
4
8
4
0
0
1
1
0
2
17
8
16
16
16
24
0
8
0
0
0
8
8
0
0
1
17
0
0
16
16
16
6
16
16
0
16
8
24
8
0
16
0
0
16
16
4
0
0
8
0
24
1
0
0
0
16
16
16
16
4
0
8
8
8
24
24
0
0
0
0
0
0
0
16
0
0
49
49
0
16
0
0
0
8
0
4
0
8
0
2
0
0
0
4
24
24
8
12
8
0
8
0
0
0
0
8
4
2
2
2
0
2
2
2
0
0
0
16
12
8
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
4
0
25
25
32
0
0
8
8
17
17
0
16
16
0
0
4
0
0
0
0
0
0
2
5
16
0
0
16
0
0
16
8
0
0
16
0
16
16
2
16
8
8
0
0
8
8
8
0
32
2
0
0
8
8
0
0
0
0
0
0
0
0
20
0
0
24
8
0
8
8
16
16
16
0
8
0
0
0
0
18
0
0
0
16
17
0
0
16
16
0
0
8
8
5
5
5
5
5
6
4
4
0
0
16
16
0
0
2
0
2
0
0
1
0
0
1
16
0
4
4
1
17
16
0
0
0
8
8
8
0
8
8
0
0
0
0
0
16
1
17
20
20
0
0
0
0
0
0
0
0
8
8
0
2
4
4
0
0
8
8
0
8
8
2
2
26
26
1
1
0
8
0
0
0
0
0
0
0
8
0
0
12
0
8
16
0
0
0
0
0
4
4
0
1
4
16
16
16
16
16
16
16
16
16
8
0
8
0
4
24
24
8
16
16
16
0
8
8
0
0
0
4
8
16
16
0
4
4
17
4
8
8
0
8
0
0
0
0
0
0
8
8
16
0
0
0
0
4
0
8
8
0
0
8
8
8
8
8
1
0
0
8
0
0
16
16
1
1
0
0
0
0
0
0
16
16
16
16
8
8
8
8
8
0
0
16
16
16
16
0
32
32
0
0
8
16
0
8
4
4
24
0
0
8
8
0
4
40
0
0
0
0
0
0
0
16
16
16
16
16
0
0
0
0
8
8
16
0
2
0
0
0
0
0
0
4
4
4
0
16
16
8
8
0
16
0
0
0
0
0
4
4
4
20
1
4
4
16
0
16
16
1
1
1
1
0
0
1
1
41
41
32
40
36
0
6
6
6
16
4
0
0
0
0
0
0
0
0
1
32
32
0
0
0
0
0
0
0
0
0
0
0
1
24
24
24
4
1
16
0
0
16
16
16
8
16
0
0
0
8
8
16
0
16
16
58
8
1
1
1
0
0
16
0
4
8
0
8
8
0
0
8
16
8
0
0
0
8
16
8
8
8
0
0
16
4
0
1
1
1
0
0
0
0
48
8
8
8
8
16
16
16
16
8
8
9
0
16
0
0
16
0
1
0
0
0
0
0
8
8
3
3
3
0
0
8
18
0
8
6
0
0
0
0
2
1
0
0
0
0
0
0
0
8
8
8
0
0
8
8
0
0
16
2
8
0
0
0
0
0
2
1
8
8
8
0
0
0
1
1
1
4
16
16
16
1
0
0
0
0
0
0
4
4
4
0
0
8
0
0
8
25
25
8
8
8
0
0
8
8
0
0
0
0
16
0
0
0
0
18
0
0
0
8
8
0
8
16
2
0
1
0
16
0
0
40
2
2
0
0
0
0
1
16
8
16
0
0
0
3
3
16
0
0
1
1
1
1
8
8
8
0
48
0
26
10
10
16
8
8
0
8
0
0
0
8
32
32
0
4
4
4
2
28
12
12
8
1
1
17
8
8
8
0
16
0
8
8
0
1
1
2
0
0
15
15
0
0
4
8
8
0
0
0
16
8
8
8
8
8
0
8
0
0
21
8
0
2
4
4
4
4
0
16
17
8
0
0
2
0
0
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
0
0
0
0
0
0
0
8
0
8
0
4
0
0
4
8
16
16
0
0
8
8
8
8
2
2
0
0
8
8
4
16
24
0
0
8
16
16
0
0
8
0
0
0
8
8
8
8
8
8
16
0
48
0
16
16
24
2
4
4
0
8
16
8
0
0
0
0
16
2
2
4
4
8
8
8
2
0
0
16
16
16
16
16
0
24
0
0
0
1
0
12
0
0
9
34
4
4
8
8
28
28
16
16
16
0
0
0
8
0
0
24
5
0
0
0
8
8
8
0
1
1
1
16
0
1
24
24
4
16
3
3
16
0
16
16
16
0
48
16
8
0
18
8
0
16
16
16
16
16
16
0
0
1
0
0
9
16
16
0
8
1
16
1
8
1
1
10
0
1
1
1
8
16
4
4
32
8
8
4
36
0
8
8
8
0
1
1
0
4
16
0
0
8
8
0
0
0
4
0
0
16
8
8
1
16
16
8
0
4
0
4
4
4
16
16
16
16
16
8
36
18
0
0
8
16
2
16
16
16
16
16
16
5
5
5
0
0
4
0
2
2
2
0
16
0
0
0
0
2
8
8
0
0
24
16
0
0
16
4
16
16
8
24
24
24
16
0
0
0
8
8
4
8
1
24
8
8
2
16
16
17
8
16
4
4
0
0
0
1
1
0
0
0
1
1
0
16
16
16
0
16
0
4
8
1
1
16
16
16
16
16
16
4
4
1
1
1
4
16
10
8
8
0
0
0
8
48
0
0
0
8
16
0
4
4
4
16
16
16
16
16
16
0
16
0
18
4
4
2
1
1
8
8
8
8
8
0
8
0
8
0
0
0
2
16
8
0
4
4
8
16
8
8
8
0
0
0
16
16
16
16
16
0
0
0
0
0
0
8
0
0
8
0
16
28
4
0
0
0
0
0
8
1
4
0
32
0
0
0
0
0
0
0
0
8
8
16
16
2
4
0
8
8
0
0
0
0
0
0
0
0
0
16
0
0
0
8
0
16
18
18
16
16
4
12
8
8
8
0
0
4
24
24
20
20
8
8
8
8
32
8
0
0
0
8
2
16
26
24
16
16
0
0
18
0
0
4
4
8
1
1
1
16
16
16
16
0
0
0
8
2
16
16
0
40
40
40
0
16
16
0
2
2
2
2
16
8
1
1
16
16
0
0
0
0
17
8
16
8
8
0
0
1
1
1
16
0
0
16
16
16
16
16
16
0
2
0
8
4
32
2
8
8
4
0
0
8
8
0
0
1
4
8
0
8
0
0
0
0
0
0
0
0
0
0
0
0
8
32
8
0
4
4
0
0
8
18
0
8
7
7
0
0
48
0
0
8
0
0
0
0
8
8
4
0
49
0
8
8
0
0
0
1
1
8
8
16
8
0
0
0
0
46
46
0
0
8
40
2
18
12
12
12
12
12
40
2
2
0
0
8
8
6
6
6
6
8
0
8
8
8
0
0
0
0
0
0
0
16
0
0
0
32
8
2
2
2
27
0
0
0
0
0
0
16
16
0
0
12
8
0
0
0
4
4
0
0
0
0
8
16
16
8
4
0
0
4
0
1
0
8
8
8
8
8
8
16
0
8
0
0
8
0
4
4
8
8
8
8
0
16
16
0
24
8
8
8
8
4
0
4
0
0
16
2
0
16
0
0
16
12
0
8
8
8
8
0
4
0
8
8
8
8
8
0
0
16
48
8
1
1
0
0
0
18
18
0
8
8
0
2
2
2
1
8
8
8
2
8
9
9
16
0
0
0
0
0
16
0
8
8
0
0
0
0
0
0
16
16
16
24
8
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
18
1
16
8
1
1
1
1
1
24
0
0
0
0
0
1
4
0
0
0
4
1
16
16
16
16
16
16
0
16
0
0
0
0
16
1
8
0
0
28
0
0
16
16
0
1
1
0
33
33
0
0
0
2
0
0
0
0
0
16
8
8
8
1
0
0
0
0
8
4
8
0
0
16
16
1
0
24
17
0
0
0
0
16
0
16
16
16
0
8
40
8
8
0
0
0
0
0
8
16
8
8
0
0
8
0
0
0
0
16
24
24
24
24
8
8
16
16
16
16
16
16
0
0
8
0
8
0
8
8
8
0
0
0
8
8
16
12
0
0
0
0
0
0
2
0
0
0
0
0
0
0
8
8
8
8
8
8
2
8
8
2
2
2
2
4
4
4
4
4
0
0
8
0
8
8
8
0
16
16
8
0
0
0
0
9
9
9
9
0
8
0
0
2
2
2
0
0
0
1
0
8
2
0
0
32
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
8
8
0
16
8
0
0
0
16
0
0
12
12
0
0
0
0
0
0
1
8
1
8
8
0
4
4
0
0
0
0
0
0
16
18
0
0
0
8
8
8
8
8
8
0
0
33
16
0
0
16
0
0
0
0
16
1
0
1
16
0
0
16
0
0
0
8
8
0
0
0
8
1
1
1
1
4
8
4
8
40
0
16
0
0
0
1
8
0
32
2
2
0
4
9
8
0
0
0
0
16
16
16
16
0
16
16
20
0
8
8
2
16
0
0
8
16
4
4
4
2
16
0
0
0
0
16
16
16
16
16
0
0
0
0
0
8
8
8
8
8
0
0
8
8
8
8
0
0
8
8
0
0
0
0
8
24
0
0
0
0
4
4
0
16
16
16
16
16
16
16
16
16
16
16
0
0
0
0
16
8
0
0
0
8
8
0
0
8
0
8
8
0
0
0
20
0
2
3
2
16
0
0
0
0
0
24
0
0
0
0
0
0
0
0
0
32
16
16
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
1
40
0
8
8
16
16
16
16
1
1
0
8
8
8
0
1
8
8
8
16
16
16
0
0
0
0
0
0
4
16
16
0
0
24
24
5
5
0
2
2
2
24
24
0
0
12
44
12
8
9
0
0
0
0
0
0
4
4
4
4
4
4
4
16
0
0
10
0
0
0
0
0
0
0
0
0
0
0
16
0
1
8
8
8
8
8
8
0
1
1
1
8
8
0
8
8
0
0
8
0
0
0
8
8
0
0
0
0
16
8
16
12
16
16
16
16
51
51
1
16
0
0
8
16
16
16
8
0
0
8
4
16
16
16
0
8
8
0
8
10
8
0
17
24
24
8
8
8
0
0
0
0
0
0
0
0
0
4
4
16
16
4
0
0
0
16
8
10
8
20
16
16
16
8
0
16
16
0
8
0
8
0
0
2
2
4
0
0
0
0
0
8
8
8
8
16
0
8
6
0
0
0
0
8
16
16
0
0
0
0
1
0
0
0
16
16
16
30
0
0
0
0
0
0
0
0
8
8
1
35
0
8
8
8
2
24
24
0
8
8
16
16
8
2
0
0
0
0
8
8
8
8
8
8
0
0
0
4
32
16
26
0
0
4
4
4
12
12
0
9
0
0
0
8
16
0
16
0
0
0
0
2
0
0
4
0
0
16
16
16
16
16
0
0
0
32
8
8
8
8
0
32
4
4
0
0
1
0
0
0
0
9
16
8
0
0
0
0
0
0
8
8
4
16
16
16
1
1
0
16
8
8
8
9
1
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
16
24
8
49
0
0
0
0
0
0
8
16
0
0
8
8
4
8
0
0
8
16
16
2
0
0
2
4
4
8
1
0
0
0
16
0
8
8
8
0
0
8
8
0
0
4
0
0
16
16
16
16
7
0
8
8
17
17
24
24
60
8
0
0
0
0
0
0
48
1
8
8
16
8
8
8
0
16
16
6
1
12
4
0
0
0
0
0
0
2
0
0
8
0
0
0
8
16
1
1
8
8
8
8
0
0
36
16
0
0
20
20
20
20
20
20
20
4
4
8
0
8
16
16
16
8
16
16
16
16
16
16
16
16
8
8
8
8
16
0
0
0
0
0
1
0
0
0
0
8
8
16
16
0
0
8
0
8
8
4
0
8
10
2
16
8
8
8
8
8
16
0
0
0
32
8
8
16
16
0
0
8
0
0
0
0
0
0
0
0
8
1
0
0
0
0
0
4
16
16
0
0
32
0
9
0
4
4
0
0
0
0
9
16
0
0
16
16
0
0
0
16
0
0
0
0
0
1
1
4
16
16
32
0
12
16
16
8
0
0
0
32
0
16
0
0
0
4
1
24
24
24
24
8
8
8
8
8
8
0
0
4
8
8
8
2
2
2
2
2
2
2
2
0
8
8
8
16
16
16
2
16
16
16
8
0
0
0
0
0
0
16
2
2
2
2
8
0
8
48
8
8
0
0
0
0
0
32
0
0
8
8
8
8
0
0
0
8
8
8
0
0
12
0
0
0
4
0
0
8
8
9
2
2
16
0
0
18
4
4
0
8
8
8
8
2
2
2
0
0
0
0
0
8
8
1
1
1
16
2
22
22
0
0
8
2
8
8
0
0
0
0
0
2
2
0
4
8
0
8
4
4
0
0
6
8
8
8
1
8
8
1
0
16
16
16
16
16
0
0
16
16
0
8
8
0
0
0
0
0
0
4
16
4
0
8
8
16
0
18
8
8
8
24
8
8
8
4
0
2
8
8
8
20
20
20
20
20
20
20
20
8
0
0
1
0
0
0
17
17
24
49
8
2
2
2
2
0
33
8
8
8
8
8
8
0
2
8
16
0
2
16
0
0
2
8
0
16
4
24
24
24
24
24
16
16
16
16
0
16
0
8
0
0
0
0
0
8
18
16
16
0
16
8
8
0
8
8
8
0
8
8
8
0
0
0
24
24
0
0
0
0
0
17
8
8
2
20
20
20
20
20
8
2
12
16
0
8
16
8
8
0
16
16
4
8
16
2
8
16
16
4
0
0
0
0
8
8
0
1
1
0
16
0
8
8
8
8
8
0
8
16
8
0
0
1
1
0
4
0
0
0
0
0
2
2
0
8
16
16
1
58
58
8
8
0
0
0
0
0
4
4
4
8
24
2
0
0
0
0
0
24
24
0
0
11
11
11
1
16
24
0
8
0
0
0
9
9
0
36
36
0
0
0
0
4
0
1
25
0
0
0
0
0
8
0
0
1
24
16
0
0
20
0
0
0
0
0
0
0
16
16
4
4
16
48
2
2
0
0
0
8
8
2
2
0
0
1
1
1
1
0
0
0
16
16
28
28
16
0
0
0
0
2
8
4
4
33
0
0
0
0
0
0
21
16
16
16
16
16
0
0
0
8
20
8
8
0
0
16
16
8
8
16
16
16
16
0
4
8
8
1
3
16
0
16
16
0
0
16
0
0
0
0
42
42
8
8
17
16
16
16
16
0
12
16
17
0
0
8
0
0
16
0
16
16
16
8
0
0
0
0
0
4
8
8
0
16
24
11
16
0
4
16
16
0
0
0
0
0
0
0
16
1
16
10
10
10
10
8
0
0
8
8
8
8
0
0
8
24
16
16
16
8
1
1
1
8
8
1
1
1
16
0
8
8
8
0
0
16
2
24
16
1
1
1
1
1
2
8
8
0
0
0
0
0
8
8
8
2
16
16
16
0
0
0
0
16
0
20
0
0
0
16
16
0
16
16
30
16
2
16
20
20
20
20
0
0
0
1
1
0
8
8
0
0
0
8
8
8
8
0
0
16
0
0
0
0
0
20
0
0
0
0
8
32
0
2
2
2
0
0
0
0
8
0
2
2
56
0
0
0
0
0
0
48
48
48
48
48
48
48
32
4
4
16
16
8
8
0
16
1
16
0
0
0
0
8
8
0
0
4
0
0
0
8
0
20
0
8
32
4
8
0
16
16
16
0
0
8
2
0
0
0
16
16
4
0
0
0
0
0
0
0
0
16
16
0
0
4
12
8
0
20
0
0
0
0
0
24
8
1
16
16
0
0
0
8
5
8
0
0
8
8
8
1
0
20
0
0
0
0
4
18
18
8
0
32
0
6
6
6
4
4
8
8
8
8
8
0
0
0
8
0
2
2
8
8
1
9
0
8
18
18
18
0
0
0
0
16
0
0
18
18
0
16
0
12
0
0
0
4
0
1
0
8
0
8
8
8
8
24
0
0
21
59
0
0
4
0
12
0
16
8
0
8
8
8
0
2
0
8
0
16
0
16
0
32
0
8
8
16
16
16
16
16
16
0
0
48
32
0
0
16
8
16
24
16
0
13
1
0
0
4
3
3
3
3
4
4
1
1
12
16
8
5
2
2
2
1
8
0
1
0
0
0
33
4
4
0
0
24
24
0
0
16
16
16
0
8
0
0
4
4
0
0
9
0
0
8
0
16
8
8
0
16
16
8
8
8
0
0
0
8
8
0
8
17
0
0
8
0
8
0
0
0
27
27
17
0
16
24
8
0
16
16
4
8
0
4
4
4
25
8
8
13
13
13
13
0
0
16
18
0
24
24
40
0
0
0
4
0
32
0
4
4
4
8
8
0
4
8
0
17
17
17
17
11
11
0
8
8
1
1
0
16
0
0
0
0
0
0
8
8
0
0
0
0
2
0
0
1
8
4
4
8
0
0
0
0
8
0
17
16
16
16
0
0
0
0
0
0
4
2
2
17
16
0
0
4
4
4
8
0
4
4
0
0
0
8
8
32
1
0
0
0
0
0
0
8
8
24
8
0
16
0
0
0
2
0
0
8
0
0
32
0
8
4
32
0
16
4
0
8
24
6
2
8
0
0
0
8
0
0
0
0
0
32
32
8
2
2
2
8
8
0
0
0
8
1
16
16
16
8
8
8
8
8
8
48
28
1
0
24
10
0
17
17
17
17
4
4
8
8
8
8
8
0
0
8
8
24
24
8
2
0
0
0
0
0
0
0
0
0
0
0
0
8
4
8
8
0
0
0
0
0
8
8
8
0
0
8
16
16
16
0
0
0
0
0
4
12
1
1
1
1
14
0
8
8
0
0
16
4
0
1
2
0
16
0
0
32
8
0
0
0
0
0
16
0
0
0
8
4
16
8
14
0
1
1
0
0
0
0
0
0
0
1
4
4
0
1
2
2
24
8
1
0
0
2
0
0
8
8
0
4
8
0
16
1
0
0
0
0
8
0
16
16
8
8
1
1
1
0
8
8
0
0
0
0
0
18
18
18
18
2
2
2
2
16
16
39
39
39
0
0
8
0
12
12
32
0
8
16
16
0
8
8
8
8
8
8
4
4
4
4
4
8
8
16
0
0
8
8
0
8
0
0
16
16
0
0
16
16
16
16
16
32
0
10
8
1
1
5
16
16
8
8
8
16
0
0
0
0
0
0
16
20
4
0
0
16
16
2
2
8
0
32
32
32
32
11
16
0
0
0
0
4
4
0
8
0
4
0
0
0
8
0
16
16
16
16
1
4
12
8
16
8
0
0
0
0
0
8
16
0
0
0
0
8
8
8
0
8
1
1
1
8
32
8
16
0
0
1
1
16
16
8
0
2
19
8
8
26
26
16
8
16
0
0
20
0
0
8
8
8
8
0
8
8
0
5
0
0
0
1
8
0
1
1
8
0
0
0
0
48
8
0
0
0
0
8
0
0
2
0
0
8
0
8
5
2
0
0
0
0
8
0
8
24
0
0
0
0
0
0
0
0
0
0
0
0
8
24
8
0
0
0
16
16
8
0
16
16
16
0
0
10
8
8
0
32
8
9
8
8
8
2
16
8
0
0
24
24
24
24
24
24
8
4
0
0
16
8
8
0
8
16
3
0
0
16
40
0
0
4
4
2
0
1
1
16
0
2
2
2
2
0
0
0
0
0
28
0
8
32
32
0
2
0
0
16
0
0
1
0
0
0
0
0
0
0
0
0
16
16
32
0
16
0
2
0
0
0
0
6
40
40
40
8
16
0
0
16
0
0
1
8
8
8
4
16
16
16
8
12
4
0
0
9
8
0
0
1
32
32
32
0
0
4
8
16
0
16
16
16
16
2
4
4
0
0
0
0
0
0
0
0
16
16
16
16
16
16
16
16
0
16
0
0
8
8
0
0
0
0
0
8
8
8
0
0
1
0
0
0
0
0
4
0
32
32
32
20
16
0
0
2
2
2
2
2
2
0
1
0
1
8
0
0
0
0
8
8
8
0
0
0
2
2
2
0
0
4
0
17
0
16
1
1
1
1
16
24
0
24
24
24
24
24
16
16
16
0
24
0
0
0
0
0
12
0
8
2
8
8
0
0
0
0
1
16
0
0
40
0
0
1
0
0
0
8
0
0
0
0
0
0
1
0
0
8
8
8
8
8
8
0
8
8
8
8
16
16
16
24
10
16
8
16
16
9
9
1
4
0
0
8
8
0
16
8
4
8
8
8
8
0
0
0
0
0
25
8
8
8
8
0
0
8
8
8
8
8
8
8
4
1
1
16
0
16
0
0
4
0
1
1
1
0
16
16
8
0
0
0
0
0
0
0
8
8
0
0
2
2
2
8
8
4
1
32
1
16
8
0
8
4
16
16
16
32
32
4
0
0
1
2
8
0
50
2
0
16
0
0
0
0
0
16
16
16
0
2
0
5
0
0
0
17
17
4
0
0
0
2
2
0
16
0
0
48
0
0
0
0
1
16
16
16
8
2
8
8
0
8
16
16
8
16
8
8
8
8
16
0
0
8
2
0
16
0
0
0
32
0
0
0
8
16
16
16
16
16
16
20
0
24
4
2
0
0
2
2
2
8
0
0
8
0
0
0
0
2
0
0
8
4
0
32
8
2
0
40
0
0
26
21
21
0
48
48
8
17
0
0
8
29
0
0
4
8
28
20
48
48
8
8
24
24
8
8
8
18
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
8
1
18
32
0
0
0
8
8
0
16
20
8
8
8
0
0
0
0
1
1
1
1
0
0
1
1
0
0
0
5
24
24
24
0
24
16
8
0
0
0
0
0
0
0
8
8
16
16
16
0
8
8
8
8
8
8
1
14
25
8
8
0
0
0
16
0
0
0
0
16
16
16
16
0
0
0
24
1
0
8
16
0
8
8
2
1
0
4
0
4
4
4
0
0
0
0
0
8
8
8
0
0
4
4
0
0
0
0
8
8
8
8
16
16
16
0
8
8
8
8
8
0
8
0
8
8
1
0
0
0
8
0
0
2
2
2
32
8
8
8
17
2
2
8
1
1
8
4
8
1
16
0
0
0
16
16
0
16
0
0
0
8
8
16
3
0
0
0
2
0
0
16
0
0
0
20
16
0
0
0
0
0
0
16
16
0
16
16
0
16
4
4
0
4
2
2
0
0
0
0
32
32
0
8
16
4
0
0
32
0
8
0
0
0
0
4
4
0
0
0
0
0
0
8
16
16
0
3
0
0
17
17
1
8
8
0
0
0
0
0
0
0
12
12
12
8
4
16
1
0
2
2
0
0
2
28
8
8
30
16
16
16
16
17
2
0
8
16
2
2
2
8
0
2
2
16
16
2
24
0
1
1
8
8
0
1
1
4
0
0
8
0
33
8
41
8
8
0
0
4
0
0
0
0
0
0
0
0
8
12
0
8
0
8
8
26
16
1
1
1
0
16
16
16
4
0
8
0
0
0
8
0
0
0
0
0
0
1
0
0
0
0
20
8
8
8
0
0
12
33
0
1
32
32
0
4
8
8
0
0
0
16
32
2
2
16
0
4
4
4
4
0
8
16
0
0
0
4
4
4
4
4
0
16
16
8
8
2
2
2
2
8
4
4
4
6
1
1
0
8
8
8
8
8
1
16
0
8
8
8
0
8
0
2
2
16
16
1
8
8
0
0
0
16
16
16
8
16
8
4
16
8
8
8
8
8
8
8
0
8
8
8
2
2
2
2
2
2
2
0
42
4
16
0
0
0
0
0
0
0
8
16
0
0
0
0
8
16
16
8
24
16
16
16
16
8
32
32
32
25
16
1
1
1
0
8
0
0
0
0
3
3
3
2
4
4
0
0
0
0
36
0
0
0
0
8
0
0
0
0
0
4
0
0
0
2
16
8
0
24
4
0
0
0
0
0
0
32
2
2
0
16
20
8
0
0
16
8
8
16
1
1
0
8
8
8
0
0
24
24
24
24
16
8
0
8
0
32
32
32
32
16
0
0
6
8
8
8
16
16
14
4
12
12
1
1
1
1
1
0
0
0
0
16
16
8
0
16
4
0
8
8
8
0
0
18
18
18
0
0
0
0
22
22
0
0
16
8
24
16
16
16
20
20
4
0
0
0
0
0
0
16
0
16
16
2
8
16
0
0
1
1
32
32
0
0
4
0
4
8
0
0
0
0
0
0
0
0
8
16
16
16
8
0
0
8
16
0
0
16
16
16
0
8
3
0
2
1
0
8
32
0
4
0
32
0
8
16
0
0
0
0
8
0
0
0
0
8
8
32
2
2
2
0
0
16
16
8
16
16
8
16
8
16
16
16
16
16
16
1
1
1
16
24
24
24
24
24
0
16
16
32
0
0
16
16
16
16
0
0
0
4
1
1
33
0
16
16
16
16
0
1
16
1
8
16
6
16
28
28
16
52
52
16
8
8
8
2
0
0
1
8
8
8
8
8
0
0
8
4
8
24
0
0
0
28
32
32
10
1
1
16
16
4
1
0
24
24
24
4
0
0
0
12
0
16
8
16
56
0
0
0
16
16
8
16
16
16
0
0
8
8
8
16
4
4
2
0
0
0
0
10
10
10
16
1
0
0
42
1
1
0
18
36
0
8
0
0
16
16
16
16
16
8
8
0
0
0
56
56
56
8
8
0
0
0
16
16
16
16
18
18
18
18
8
0
0
0
0
0
0
4
0
0
0
0
0
16
16
16
0
0
0
8
8
8
8
8
8
8
8
1
0
0
4
8
8
16
1
1
8
8
8
0
0
0
25
8
8
4
0
0
0
0
2
0
0
0
0
4
0
16
0
0
0
0
0
0
8
32
0
0
0
0
9
9
8
17
17
8
8
8
0
2
16
0
0
0
0
0
0
0
4
0
4
9
24
24
24
0
10
8
16
12
12
0
0
0
0
0
0
0
0
4
8
8
16
16
16
0
0
0
32
0
0
32
8
40
16
20
0
0
0
0
16
0
0
0
16
0
0
34
34
20
16
0
0
0
2
8
8
16
16
16
32
32
8
0
0
8
8
0
0
0
0
0
0
16
0
0
0
8
2
2
8
8
2
16
16
16
16
16
16
16
16
2
0
0
4
0
4
8
2
2
2
0
4
0
0
0
0
0
0
0
0
4
4
4
4
4
8
8
0
32
0
0
8
16
16
0
2
2
2
16
16
16
8
10
16
16
0
0
0
16
16
0
37
0
8
8
0
0
1
0
0
16
16
17
0
0
0
0
0
0
1
1
0
0
0
0
0
1
16
16
8
1
0
8
8
8
0
0
0
17
1
0
2
0
0
0
0
0
16
0
0
0
16
16
16
8
0
2
0
0
16
2
4
32
2
54
0
0
0
0
0
0
8
8
26
4
4
4
4
4
0
0
0
0
0
0
0
0
0
0
0
2
2
8
0
0
0
0
0
0
0
48
8
2
2
2
1
8
4
4
4
16
8
0
0
0
0
0
1
1
17
0
4
12
0
0
0
0
0
8
40
40
40
0
16
16
0
4
0
0
8
0
4
16
0
40
8
0
8
0
0
16
1
1
0
2
0
0
32
32
0
0
0
8
8
0
0
0
0
8
8
0
0
0
4
4
4
1
8
1
8
8
4
16
16
16
0
0
2
0
4
4
1
0
0
8
0
16
16
16
16
16
16
0
4
0
16
16
16
2
8
0
0
16
0
1
1
1
0
0
0
0
0
1
1
24
4
0
8
0
0
0
32
32
9
9
8
0
8
8
1
8
8
8
0
6
10
16
16
16
0
0
8
0
0
0
16
8
8
0
0
0
16
4
4
4
0
1
1
1
8
16
16
16
0
0
0
0
8
8
0
0
11
0
0
0
16
0
8
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
8
8
8
8
8
8
8
8
43
43
32
16
0
0
0
2
2
0
0
8
8
0
32
32
0
0
0
0
0
0
8
8
16
12
12
12
16
16
8
8
5
1
8
0
0
0
0
0
0
0
18
8
8
8
8
8
12
0
0
0
0
2
4
8
8
42
42
0
0
0
0
48
1
16
8
8
4
16
16
16
16
16
16
0
36
0
0
32
32
32
40
0
8
8
0
0
4
0
0
0
0
0
0
0
0
16
0
16
8
0
16
16
16
25
25
25
25
1
16
8
1
1
16
16
0
4
4
4
1
1
0
0
16
16
8
1
8
0
0
0
0
0
0
0
2
2
0
20
20
4
0
0
8
8
8
8
8
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
4
16
0
4
8
0
40
16
16
0
24
16
16
8
2
2
24
16
16
40
40
40
8
8
17
16
16
0
4
4
4
8
8
8
8
8
8
32
0
16
0
4
0
8
8
8
9
0
0
0
1
0
0
0
1
24
0
1
16
16
8
8
1
1
8
24
8
8
8
8
8
16
16
16
8
0
0
4
0
0
0
0
2
2
2
0
0
8
0
24
0
0
0
2
8
16
9
9
9
9
0
0
0
0
0
0
0
0
0
16
4
4
16
0
0
0
0
0
4
4
0
0
0
0
0
24
24
0
4
0
0
0
0
1
0
0
0
0
0
4
0
0
16
8
8
16
16
16
16
16
0
22
22
8
8
0
12
8
8
8
8
0
0
0
8
8
16
24
0
0
0
0
0
16
16
16
16
16
8
4
38
8
16
16
0
0
2
1
24
0
8
0
5
1
0
4
8
0
0
1
1
8
8
8
8
0
0
16
16
16
0
0
0
16
16
5
5
5
0
8
8
8
0
8
8
8
0
8
8
8
0
0
0
8
8
8
8
8
8
8
8
1
3
0
0
8
8
0
16
0
8
4
4
4
4
16
16
16
16
0
0
2
8
0
8
8
16
16
16
16
16
16
16
1
0
4
4
20
0
16
8
0
8
16
16
16
16
0
0
0
0
0
0
0
0
8
0
14
14
14
0
0
8
8
0
48
0
2
1
16
16
8
0
0
16
16
16
0
0
0
0
0
0
4
0
0
2
2
2
2
2
0
4
4
0
0
16
0
8
8
8
16
4
8
8
0
0
4
4
0
0
0
0
16
0
8
2
19
2
2
32
8
16
1
1
0
0
8
0
0
0
8
16
0
0
0
0
1
0
0
0
4
28
16
8
0
34
34
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
4
4
4
4
0
0
0
0
0
0
0
8
32
0
0
4
4
16
16
0
2
4
16
16
8
8
8
16
1
1
0
0
4
4
8
0
0
0
0
0
0
32
32
24
24
0
8
0
16
8
8
8
8
16
0
8
8
8
8
16
8
8
0
0
0
0
32
2
16
16
16
16
0
0
0
0
8
0
4
16
16
8
8
8
8
16
16
0
0
0
16
16
0
4
4
25
2
0
1
1
2
4
2
4
4
4
2
1
8
16
4
4
4
4
0
8
16
2
2
2
0
8
32
0
16
32
0
0
0
0
8
8
8
16
0
8
8
16
0
0
8
8
12
0
2
24
0
0
8
8
0
1
8
8
8
8
8
0
8
8
0
0
24
24
16
0
0
0
1
1
1
1
0
0
0
17
16
32
16
8
16
16
0
0
0
0
0
8
0
0
0
40
40
40
4
8
8
16
16
16
16
12
16
16
16
16
16
16
8
8
8
0
0
0
0
16
16
24
8
8
16
16
0
0
0
0
0
1
0
0
0
0
16
4
4
4
26
18
16
4
0
8
16
16
16
16
8
16
12
12
12
12
0
0
0
16
16
0
8
8
0
0
32
32
32
16
16
16
16
36
10
8
0
0
8
8
8
8
8
52
0
8
0
0
0
16
1
0
0
4
16
16
0
0
0
16
1
1
4
0
0
0
0
0
0
0
4
32
0
0
24
0
9
0
16
0
8
8
16
16
4
4
0
0
0
0
8
2
2
8
0
8
0
0
0
32
32
32
0
56
56
8
6
16
16
16
16
0
0
0
0
0
0
0
0
4
16
16
2
2
0
0
16
1
8
0
8
4
0
24
24
44
44
2
40
40
0
16
16
0
0
0
0
16
16
0
0
0
0
8
8
8
0
0
0
0
8
0
0
8
8
16
16
16
16
16
8
8
16
16
16
16
0
4
4
0
0
0
0
8
8
16
16
16
16
8
0
0
8
0
8
0
0
16
8
36
8
0
0
0
0
0
0
0
4
4
4
4
1
16
16
16
16
16
0
0
0
0
1
8
8
0
16
0
0
16
0
24
16
16
10
17
17
8
1
6
0
0
8
8
0
0
2
0
0
0
0
0
8
8
8
0
0
4
1
1
1
1
1
0
0
16
17
1
0
0
9
0
8
8
8
8
8
6
1
0
8
8
2
2
8
8
8
8
2
8
8
8
8
8
1
1
1
1
1
8
8
8
8
16
0
16
16
16
0
0
0
8
8
0
0
8
8
44
0
20
29
3
1
0
0
41
10
20
0
4
0
20
20
20
20
8
4
0
0
16
16
8
8
8
0
0
16
0
0
0
2
2
0
22
16
16
8
0
0
0
0
1
2
8
32
0
28
8
0
8
1
27
0
8
8
16
0
8
8
8
0
16
20
26
26
0
0
4
8
4
1
0
0
17
0
0
0
0
0
0
0
1
8
28
28
0
16
8
18
18
18
8
11
8
8
8
8
0
0
0
0
8
0
1
2
2
2
8
8
16
20
22
16
4
16
4
4
2
1
0
0
54
0
0
0
0
0
0
0
16
16
16
16
16
16
16
49
0
0
0
0
0
2
16
16
16
16
0
32
0
0
0
0
0
0
2
16
4
8
0
5
8
0
0
8
8
18
8
24
24
2
16
16
16
0
0
0
0
0
0
32
0
16
0
0
8
8
0
1
1
1
16
0
10
0
3
3
3
3
20
20
0
0
0
0
2
16
12
0
0
0
42
0
0
16
0
1
0
0
0
1
16
8
8
0
16
8
8
8
8
0
8
16
0
0
0
34
34
34
34
0
8
8
0
8
8
16
16
0
0
0
0
0
0
8
8
8
8
0
16
0
8
8
8
8
8
4
0
20
20
20
20
8
8
8
16
0
0
8
8
0
0
0
8
8
22
8
0
17
4
4
32
2
40
0
0
0
4
4
8
8
32
32
16
4
4
8
2
20
20
8
0
0
0
0
8
8
0
16
1
1
0
8
0
8
0
0
4
8
8
4
8
16
16
0
0
16
8
8
1
1
1
8
8
0
0
8
0
0
0
0
0
0
0
0
0
0
20
1
32
0
18
0
0
16
1
0
0
0
0
0
32
0
0
16
30
0
16
0
0
0
0
16
19
18
4
4
11
11
11
11
10
0
28
28
16
0
2
2
2
32
0
0
0
0
0
0
0
0
0
0
26
0
0
16
16
16
16
2
3
3
0
3
8
8
0
4
4
4
16
16
0
0
0
0
0
16
16
16
0
8
1
16
0
16
2
2
2
16
16
16
16
16
0
3
2
16
16
1
0
0
20
20
20
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
1
0
3
8
8
8
8
0
0
7
0
0
0
0
4
34
0
0
0
0
0
0
40
8
16
0
8
0
16
16
0
0
4
8
12
16
16
16
8
8
0
8
8
17
8
0
8
8
4
4
0
8
0
8
8
16
16
16
16
4
0
8
8
8
24
20
16
16
48
16
0
0
4
4
4
4
8
0
4
4
4
4
12
0
0
0
32
4
4
0
25
17
17
17
0
0
0
0
4
4
4
4
28
0
8
4
4
4
0
0
16
0
0
0
8
1
1
16
16
24
22
0
0
0
0
0
8
0
16
16
16
0
16
8
8
4
8
8
8
8
0
16
0
8
8
50
8
16
8
0
0
8
8
8
0
0
16
0
2
16
0
8
24
24
16
16
16
18
0
0
0
16
0
21
0
8
8
8
9
0
0
0
0
0
0
16
16
16
16
16
16
16
16
16
0
8
24
16
0
8
8
8
8
8
8
8
8
8
8
0
0
0
0
22
16
8
8
0
0
0
0
16
28
0
0
16
1
1
1
0
0
0
8
24
0
0
0
0
0
0
4
0
2
6
6
6
0
0
0
8
0
8
8
0
0
8
0
0
32
16
8
8
8
8
14
14
0
0
8
12
0
8
8
4
4
4
8
8
8
8
8
8
8
0
2
0
8
24
8
8
8
0
0
0
0
0
0
16
0
4
4
4
8
0
0
0
2
2
8
0
0
1
1
1
0
1
0
0
0
0
2
8
0
8
0
16
0
4
8
8
8
8
8
8
12
1
1
0
0
2
0
0
0
0
8
8
4
0
0
0
17
0
16
16
0
0
1
1
1
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
16
9
8
8
0
0
0
0
0
0
8
8
8
0
0
16
16
16
16
16
16
0
8
8
16
16
16
0
2
4
0
0
0
8
8
8
8
32
16
2
0
8
4
8
2
4
4
4
0
2
16
16
0
0
0
4
4
0
0
20
2
4
4
0
0
0
0
0
4
4
4
16
16
16
16
0
0
0
0
0
1
8
8
4
0
0
0
0
0
0
0
0
0
0
0
0
6
0
0
0
8
8
0
4
8
12
0
0
16
16
0
0
0
0
4
8
0
0
0
0
0
8
0
8
8
16
2
0
18
0
0
0
0
0
0
24
24
0
8
0
0
0
0
0
0
0
8
2
0
0
0
8
8
8
4
0
16
4
29
8
8
0
0
0
1
24
8
0
1
24
0
0
32
0
8
8
18
8
8
8
16
17
16
8
16
16
0
0
8
8
8
8
0
0
8
8
8
4
4
8
8
8
8
2
17
8
2
2
12
0
16
16
0
1
32
32
32
1
1
0
8
16
8
8
16
0
0
1
0
0
8
22
16
16
0
0
0
0
0
0
0
0
8
8
16
16
0
0
0
0
0
0
16
16
0
0
0
4
32
32
8
0
0
0
0
0
0
4
8
8
8
0
16
16
32
8
16
0
16
16
16
16
0
0
18
18
0
0
0
0
0
0
0
8
0
21
0
16
16
0
16
0
0
0
1
0
4
16
16
8
16
12
8
0
4
4
4
0
0
0
16
0
16
8
0
0
0
0
0
0
9
0
18
16
16
16
16
16
16
16
0
0
0
0
0
0
0
0
8
8
0
0
0
0
8
8
8
8
8
8
8
0
8
8
8
8
8
0
0
1
0
8
8
8
0
0
0
0
0
0
0
0
8
8
0
16
8
28
0
0
0
16
0
0
0
0
8
0
0
16
16
0
32
0
1
0
1
0
0
0
0
8
16
16
16
0
0
22
0
0
0
1
1
1
1
0
0
20
16
8
0
4
4
8
2
2
40
40
0
16
0
32
32
0
0
0
0
0
0
0
0
32
8
8
22
22
16
16
16
18
1
18
0
0
0
24
0
16
16
16
16
16
0
16
1
1
0
0
0
8
0
0
0
20
4
2
0
0
0
0
16
16
8
8
0
0
0
0
4
0
0
9
9
1
1
24
0
0
0
0
0
8
0
0
1
1
0
0
0
0
8
8
0
0
0
16
8
8
8
8
8
0
0
16
16
0
0
0
0
16
16
16
8
17
17
0
8
28
4
4
0
0
0
0
16
16
16
32
36
8
8
8
8
8
8
8
24
8
0
1
1
8
0
16
16
0
0
33
16
24
0
0
8
8
0
0
34
16
8
8
8
0
0
0
0
0
0
0
0
0
1
1
0
0
24
8
0
16
8
8
8
0
8
8
0
8
32
28
0
0
0
0
0
0
0
25
24
2
8
0
16
0
2
0
0
0
8
36
16
16
16
8
8
8
8
8
8
35
16
26
26
26
8
0
0
2
8
24
0
0
0
0
28
24
16
16
0
0
0
8
8
2
0
8
0
1
1
16
8
8
16
8
8
8
8
0
0
0
16
0
0
16
16
0
0
16
16
8
8
8
8
8
8
4
1
8
8
8
8
2
2
0
0
8
8
1
0
0
20
20
4
4
0
0
0
0
0
16
16
16
0
0
0
8
8
2
16
16
16
0
16
16
16
16
3
8
8
8
8
8
0
0
0
0
0
0
16
0
0
16
16
16
16
0
24
8
8
8
4
0
0
0
0
0
16
0
0
20
16
8
8
0
0
0
2
0
0
0
0
0
0
16
0
16
0
4
0
0
1
8
8
0
0
0
0
0
11
11
0
0
0
0
16
16
16
0
16
16
16
16
0
8
0
8
0
5
5
5
3
3
8
0
0
9
8
8
16
16
16
16
2
6
8
0
8
8
8
1
16
0
8
8
4
4
4
4
4
0
0
0
0
0
0
16
16
39
8
2
0
16
0
0
0
0
16
27
16
16
0
0
0
0
0
8
4
1
0
8
0
0
16
0
0
0
0
32
16
16
8
0
0
16
8
8
8
1
24
24
35
16
16
4
48
9
9
8
8
16
0
0
8
8
0
1
0
0
0
0
24
8
8
8
0
8
0
16
0
40
40
18
0
0
0
0
0
2
2
8
0
1
16
0
0
0
16
0
10
8
8
8
8
8
8
12
8
16
0
0
0
8
24
11
0
4
17
16
0
0
0
0
8
0
0
3
3
3
0
8
0
0
0
1
1
1
16
12
1
1
1
1
1
1
0
0
0
56
56
56
56
16
0
0
0
0
16
0
0
2
2
8
8
6
6
2
2
0
0
0
0
0
4
8
24
2
0
16
4
0
4
0
0
16
0
32
32
0
0
0
0
0
0
1
0
24
1
0
16
1
1
8
8
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
8
16
0
16
8
1
1
1
1
1
8
0
0
8
0
8
8
8
8
8
0
0
0
12
0
0
20
0
0
0
0
0
0
0
0
16
16
16
16
0
4
16
16
16
0
16
1
1
1
1
0
8
0
0
0
0
0
9
9
24
16
0
0
0
0
0
0
4
8
32
0
0
0
0
0
24
16
16
16
0
0
0
0
2
4
0
0
8
8
0
0
9
0
16
0
0
8
0
16
0
8
8
16
0
8
0
0
0
1
1
1
0
16
16
0
16
16
16
16
16
0
0
16
16
1
16
16
16
1
0
8
0
0
0
0
4
8
8
8
32
4
0
0
3
0
0
0
8
2
0
0
0
4
8
0
2
18
18
1
1
1
0
0
1
1
0
1
8
8
33
1
6
8
8
8
8
8
16
16
0
8
8
2
16
16
8
16
2
16
16
8
8
16
0
0
16
4
12
8
24
0
0
0
4
4
16
8
0
0
0
0
0
16
0
0
0
0
8
17
0
0
1
16
16
0
8
0
0
0
0
0
8
0
0
0
1
0
16
0
9
9
2
2
16
1
0
0
0
0
0
0
0
20
0
8
8
20
0
0
0
0
56
56
16
8
0
0
0
0
16
16
0
8
8
8
16
0
0
16
36
1
1
1
8
8
0
0
0
8
0
0
0
0
16
16
16
8
8
8
8
0
1
1
1
1
8
0
0
32
32
32
17
1
1
1
0
4
4
4
0
4
1
16
16
0
8
0
8
16
0
8
8
8
0
0
0
16
16
0
0
8
16
16
10
10
0
2
2
2
0
0
32
0
0
0
0
0
0
0
8
8
8
8
0
0
0
0
0
8
8
0
8
0
0
0
0
0
0
0
0
32
0
16
16
16
12
0
8
0
0
4
0
0
8
0
0
0
10
10
8
2
1
1
8
16
16
16
16
16
0
4
4
1
1
0
8
0
16
0
0
0
0
4
8
8
16
0
2
9
8
0
0
16
16
16
17
0
0
0
0
0
0
8
16
32
16
1
1
8
10
8
0
0
0
0
0
16
0
8
8
0
0
0
0
1
8
0
0
0
0
0
0
19
1
1
1
1
1
1
1
1
16
16
0
18
0
17
17
17
17
17
17
16
1
8
12
8
0
8
0
0
16
16
8
8
8
2
2
8
1
1
1
1
0
0
16
16
16
16
3
0
0
2
0
0
8
0
8
1
1
8
8
0
16
16
8
0
4
32
0
1
1
37
37
37
37
1
1
8
0
0
0
0
8
1
0
8
8
24
24
0
0
0
16
16
16
16
0
0
0
0
8
2
2
0
8
8
8
8
8
0
16
12
4
4
1
8
2
2
16
1
0
62
0
0
4
9
8
0
0
0
0
0
0
0
0
8
32
2
2
0
8
16
8
8
4
0
4
8
8
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
61
1
8
0
0
0
0
16
16
16
0
0
0
4
4
0
0
2
2
10
0
0
0
16
16
16
0
16
16
4
4
0
0
0
0
24
24
8
0
0
32
0
0
0
0
10
10
10
8
0
0
8
8
0
0
17
0
8
16
16
16
16
16
16
0
0
0
0
16
16
16
16
16
16
16
16
16
16
32
0
16
16
8
0
0
8
8
16
16
0
2
2
2
2
2
0
4
16
16
16
16
8
0
0
0
8
0
0
0
20
32
32
16
16
0
0
0
0
0
0
4
8
8
18
32
8
9
16
16
16
16
0
18
8
8
8
0
0
0
0
8
0
16
8
0
0
0
0
16
16
0
8
8
0
0
0
0
8
8
2
2
0
0
0
0
0
16
8
0
0
0
0
0
0
0
16
16
0
0
4
4
0
16
1
0
0
0
16
2
0
0
0
0
0
0
16
0
0
0
0
0
0
8
8
8
0
48
48
16
16
3
2
2
16
16
16
0
8
0
0
8
0
16
2
2
0
2
2
0
8
20
20
0
0
0
0
0
16
16
2
2
2
2
4
16
16
32
32
32
32
0
2
2
0
8
8
16
1
8
8
8
0
0
0
0
16
16
0
1
0
0
0
0
0
0
0
8
0
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
12
12
1
16
0
0
8
8
32
32
0
0
18
16
0
8
8
0
0
0
0
0
0
0
0
8
0
0
16
0
0
8
8
0
0
16
8
8
8
8
17
4
4
16
0
0
0
0
4
4
16
20
20
16
0
0
0
0
8
4
4
0
16
0
0
0
8
0
16
16
0
0
9
9
9
0
0
2
8
0
40
4
4
0
0
0
8
0
0
2
2
1
0
0
16
16
16
16
0
8
8
8
8
0
0
8
0
8
0
0
16
16
4
0
0
0
0
0
0
8
8
8
8
8
24
0
0
16
16
9
0
0
16
24
4
0
0
8
4
4
4
0
0
8
0
0
0
0
8
8
8
8
8
1
1
16
24
16
0
8
20
0
32
8
0
0
0
0
16
16
16
16
0
16
8
8
8
0
0
8
8
8
8
8
8
8
8
0
0
0
0
0
0
0
16
0
0
8
16
16
16
16
0
0
0
0
0
2
0
4
4
16
16
0
16
16
8
0
0
0
10
0
16
0
0
0
0
0
0
2
4
16
8
8
0
8
0
1
1
8
16
2
0
8
8
4
0
0
8
8
8
8
0
16
12
4
8
0
0
4
4
8
8
0
16
8
16
0
0
8
8
8
8
8
8
8
8
8
8
8
8
0
0
2
0
0
16
0
0
12
0
16
16
20
20
20
0
0
8
8
8
1
0
0
16
0
8
8
0
0
0
8
8
16
16
1
0
0
8
0
16
16
24
24
24
56
8
32
1
1
0
0
0
40
1
1
1
1
0
16
16
20
4
4
4
8
4
16
16
8
0
0
8
8
16
24
4
0
0
0
16
0
1
8
8
0
0
0
24
8
16
4
8
1
16
8
8
8
8
0
0
2
0
0
0
0
1
1
11
24
8
16
16
18
18
8
0
0
16
16
16
16
32
0
0
0
0
16
0
0
8
0
8
8
0
0
53
16
16
0
8
8
16
16
16
16
0
0
8
8
8
8
8
8
24
12
18
18
18
18
18
8
8
8
4
4
0
0
8
2
2
0
4
4
4
4
8
8
24
8
2
12
12
12
8
8
8
8
0
0
0
2
20
8
8
0
0
0
16
16
8
8
8
16
8
8
0
8
0
0
0
0
0
0
0
1
16
16
16
0
8
8
0
0
0
0
0
0
16
0
0
8
2
2
2
0
0
0
0
8
0
0
0
0
8
8
0
8
16
4
4
8
16
16
2
2
16
8
0
8
12
0
0
25
8
16
1
1
1
0
0
0
20
1
1
24
49
1
0
1
0
25
32
32
8
8
8
8
10
2
2
32
32
32
32
32
12
12
12
2
2
8
8
8
4
4
4
16
16
0
0
16
16
1
2
0
24
24
32
0
24
24
0
0
8
8
4
4
4
8
8
16
16
16
16
24
0
0
0
0
0
0
0
8
2
2
2
16
0
0
0
24
0
8
8
0
1
0
0
0
0
16
0
0
4
4
0
16
17
17
0
0
0
24
24
24
8
0
0
0
0
0
0
0
10
2
0
0
8
0
0
0
8
0
0
24
0
2
4
2
0
0
8
8
8
8
0
0
0
0
0
0
0
8
16
16
0
0
28
28
28
8
0
0
16
16
16
4
0
4
0
0
0
2
0
16
0
0
0
8
16
16
2
2
28
0
0
0
0
0
13
0
0
0
8
34
0
0
0
0
0
8
0
0
27
8
8
8
16
0
0
0
8
8
0
0
0
0
0
8
8
2
16
8
4
8
8
0
2
2
16
0
26
20
2
18
8
8
1
0
1
0
0
0
0
0
0
0
0
4
4
4
4
12
12
12
0
0
0
0
0
0
3
3
0
0
0
0
20
0
0
2
0
2
0
0
0
0
0
0
0
0
0
20
0
0
4
4
4
0
16
16
4
0
0
4
4
12
12
0
2
0
0
4
8
16
0
0
0
0
0
1
4
4
0
0
16
8
8
8
12
8
8
0
6
6
0
0
24
0
0
0
24
24
24
2
0
32
0
8
4
4
16
0
0
0
0
0
1
1
1
16
16
0
8
8
8
16
32
32
2
0
0
4
4
1
8
8
17
0
0
16
0
0
0
0
41
0
0
8
0
0
8
0
8
0
0
0
0
8
0
8
0
0
0
0
0
1
0
16
8
0
12
0
0
0
0
0
0
0
0
0
2
1
1
16
16
16
8
0
16
16
16
16
4
0
1
1
1
1
1
1
1
1
1
1
1
1
24
0
2
0
0
8
8
0
0
4
0
0
0
0
0
0
2
32
17
0
16
0
0
16
16
4
16
24
16
4
0
1
0
0
8
16
0
8
8
0
0
16
8
0
0
0
2
0
0
0
0
0
0
0
0
0
8
0
8
8
8
8
8
16
16
16
0
0
0
0
4
4
4
24
0
0
2
24
24
6
1
1
1
0
4
0
0
0
0
0
2
1
8
8
8
16
0
2
2
1
1
0
0
8
24
24
21
5
0
48
8
36
36
36
16
16
0
0
0
0
0
0
8
8
0
0
0
16
0
0
0
4
4
4
4
17
17
4
4
4
0
8
8
4
4
0
0
0
0
8
0
16
8
16
8
8
8
0
0
8
0
1
1
1
1
1
8
24
12
8
8
8
0
16
0
17
17
17
17
25
0
16
16
16
0
0
0
0
0
0
0
0
4
4
4
8
8
0
1
0
0
36
32
2
0
8
8
8
8
8
8
24
8
0
8
8
8
8
8
8
8
24
0
0
8
4
4
24
20
0
0
0
0
0
2
6
0
0
8
20
20
8
4
4
0
0
16
32
0
0
16
16
0
0
0
0
0
0
8
0
0
0
32
16
8
8
0
0
0
0
16
0
0
16
16
16
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
8
12
0
0
0
0
0
0
16
16
16
8
8
2
2
2
2
0
8
8
0
0
0
8
8
8
8
8
8
0
24
24
0
0
0
0
0
0
16
16
16
28
8
8
8
2
0
0
0
0
16
16
0
0
0
0
16
2
16
1
0
0
4
0
8
0
0
0
0
0
32
32
2
0
2
2
2
22
0
8
0
8
8
0
0
0
0
17
1
0
0
0
0
0
8
16
0
8
16
16
0
0
0
0
0
0
0
16
16
16
16
16
0
1
1
16
16
16
16
0
12
0
0
0
8
8
8
8
0
0
8
0
0
16
8
8
8
0
8
8
8
0
0
1
1
1
1
0
0
0
8
28
16
16
16
16
8
0
8
24
16
16
0
12
8
0
0
0
8
8
16
16
16
34
0
8
8
4
6
0
0
0
0
0
0
0
0
16
16
8
0
16
0
0
0
16
16
16
16
24
16
1
0
18
16
16
1
1
4
1
3
0
0
0
0
16
8
16
0
0
32
8
8
10
10
10
10
10
16
16
0
2
2
2
2
0
0
8
0
0
16
8
16
8
8
24
0
32
8
8
8
8
4
4
0
0
0
16
0
0
0
0
0
0
0
4
1
1
16
16
0
8
8
8
8
8
8
16
16
24
24
24
16
5
0
0
0
12
0
2
2
6
6
6
0
8
0
8
0
0
8
16
1
0
0
0
0
8
8
8
8
8
0
48
16
0
0
1
1
0
32
10
0
0
0
4
2
16
8
4
0
0
0
4
4
0
0
0
24
0
0
0
0
0
1
0
21
0
8
0
0
16
16
8
8
8
8
16
0
16
2
0
32
32
32
16
16
1
1
0
0
0
0
0
16
8
8
0
0
0
8
8
4
4
28
0
4
16
16
0
0
8
8
16
0
8
24
0
8
0
0
0
4
2
2
2
2
2
0
1
1
16
0
6
8
6
6
8
8
26
26
26
12
12
12
0
0
0
0
0
32
4
8
0
0
0
0
24
0
8
2
0
0
0
0
0
0
56
0
0
1
8
1
1
1
0
0
16
16
1
16
0
0
8
8
8
8
0
2
0
0
8
2
24
24
0
8
8
8
0
0
1
1
1
0
0
0
0
0
0
0
8
8
8
8
16
16
16
8
0
4
2
4
8
8
0
8
0
2
0
16
16
8
0
0
0
18
0
16
0
0
0
8
16
16
20
20
0
9
9
0
0
32
0
0
1
1
1
1
1
1
1
16
16
16
0
0
9
8
8
12
0
0
0
0
2
0
17
1
20
0
0
0
16
0
0
2
16
16
16
16
16
16
0
8
0
0
0
0
0
0
8
0
0
0
0
16
0
50
50
0
0
16
16
32
32
32
2
2
2
2
20
8
0
0
8
8
8
0
0
8
0
24
18
18
0
8
0
8
8
8
0
16
0
0
8
8
8
8
16
16
16
16
2
8
0
16
0
0
8
16
4
32
3
3
16
0
16
16
4
4
24
16
16
0
0
8
8
8
4
4
8
8
8
8
16
16
8
8
8
8
8
8
0
0
0
8
0
0
16
4
0
0
32
4
2
2
0
0
0
16
16
0
0
0
0
0
8
8
8
8
41
41
32
32
0
4
4
4
0
26
8
8
4
8
8
8
8
8
8
8
8
16
16
16
0
0
8
6
0
16
2
2
13
13
16
16
16
0
8
8
0
0
16
16
8
1
0
16
0
0
0
8
4
4
0
0
0
4
20
4
0
16
8
8
8
0
0
8
0
0
0
2
8
4
4
0
0
4
0
0
16
0
0
0
0
8
8
1
6
4
4
0
8
4
0
8
4
1
1
1
16
16
0
0
0
0
0
0
3
0
4
4
0
0
16
8
8
0
2
8
32
0
8
0
0
8
0
2
2
0
16
0
0
0
0
0
0
16
16
32
0
0
0
0
8
8
0
8
4
19
56
24
24
2
0
12
12
0
8
0
0
0
0
0
16
36
0
1
0
0
8
2
2
0
16
32
0
0
8
8
16
16
4
16
16
16
0
0
8
2
2
0
0
0
1
0
0
0
0
0
0
0
4
4
1
16
16
16
8
8
8
8
0
0
16
6
0
0
0
2
8
0
12
12
16
2
8
4
4
4
4
0
4
4
6
6
16
4
8
0
8
0
0
8
8
0
0
0
0
16
2
2
1
0
0
0
8
8
4
4
0
0
16
16
0
0
0
0
0
16
16
0
0
24
24
24
0
0
0
0
0
0
0
0
0
0
4
16
16
4
1
0
0
0
0
0
0
2
16
16
16
0
0
0
8
0
0
0
0
8
17
16
16
8
24
0
34
16
16
0
0
24
16
16
24
16
16
0
2
2
24
0
6
8
0
0
8
16
0
0
8
0
0
16
8
48
8
16
0
0
0
16
8
0
0
0
2
0
0
1
1
1
0
0
0
6
16
0
0
0
0
0
8
8
16
16
0
0
8
8
8
0
8
0
0
0
8
8
8
4
8
16
8
0
8
0
0
8
16
16
16
4
0
16
16
0
0
0
0
0
24
24
8
8
8
8
8
0
0
0
0
0
0
0
0
20
20
16
8
8
0
0
0
0
0
4
0
8
8
0
0
16
8
16
16
0
0
1
1
1
18
0
0
0
2
8
8
8
0
16
4
0
0
8
16
16
16
16
8
1
4
2
0
0
0
8
8
0
1
1
8
16
16
8
0
0
8
8
8
8
8
8
24
0
0
0
0
0
0
0
0
8
8
0
0
8
8
16
16
16
16
16
16
16
16
8
8
8
8
8
0
16
16
16
0
2
0
0
24
10
2
0
8
41
41
41
0
0
0
8
4
16
16
0
0
1
1
2
2
8
16
33
16
0
0
32
0
0
8
0
0
8
0
8
8
1
8
16
16
32
16
0
0
0
0
0
0
8
8
4
8
16
0
0
0
4
4
8
12
16
16
0
0
4
18
18
8
8
24
0
25
0
0
16
0
41
16
16
0
0
0
0
0
0
8
0
12
1
4
4
0
0
0
34
5
0
1
0
0
0
0
0
0
0
16
16
16
0
0
0
0
0
2
2
0
32
32
8
4
4
4
0
8
8
0
0
0
8
8
40
40
40
40
16
16
12
8
8
0
0
0
24
24
8
8
8
8
48
48
0
0
1
0
32
0
0
12
8
8
16
28
0
0
0
16
0
0
16
16
24
0
4
4
0
0
0
8
0
0
0
4
1
6
0
0
18
32
32
32
8
8
16
16
16
8
0
8
8
8
8
8
8
8
8
8
8
8
2
2
0
0
1
20
28
0
0
0
14
14
0
4
8
2
2
0
36
36
0
26
0
0
0
8
8
8
8
16
16
16
16
8
8
8
8
0
8
8
8
57
0
18
18
8
32
32
0
0
0
0
0
16
16
16
16
16
0
10
2
2
2
2
11
0
16
0
0
0
4
0
0
24
24
16
24
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
24
0
0
0
32
4
8
0
1
0
0
0
0
4
20
0
0
0
0
0
0
0
1
16
2
0
1
0
0
16
16
8
8
0
0
2
16
0
1
0
0
0
4
0
0
0
0
16
0
0
8
5
6
6
0
0
0
0
0
3
0
0
0
0
22
0
0
0
0
12
4
4
8
2
8
1
1
1
8
0
0
0
4
0
0
0
16
16
0
16
16
16
16
8
0
8
0
0
10
10
0
0
0
0
8
0
8
0
0
8
8
0
0
0
0
0
4
16
16
2
2
0
0
16
4
1
1
1
0
16
6
6
16
8
0
0
0
0
0
17
16
8
8
0
20
20
16
17
0
16
8
4
0
0
8
0
8
8
16
4
8
8
8
8
8
16
16
16
16
8
8
2
0
8
16
0
0
8
8
8
0
16
16
16
4
4
0
8
20
0
2
0
1
30
30
2
3
4
4
8
0
0
0
12
0
0
8
0
0
0
0
62
62
16
0
0
1
16
0
0
0
16
2
20
4
4
4
5
0
0
0
16
16
16
0
0
0
0
8
16
16
16
0
16
16
16
8
0
0
16
0
0
4
4
0
0
0
2
2
0
0
0
0
0
0
0
0
0
2
2
0
0
8
8
4
2
2
0
0
16
16
16
0
57
0
8
8
0
0
16
16
8
8
0
0
1
0
16
0
0
0
0
16
0
0
8
8
8
0
0
16
16
1
8
24
8
8
2
0
0
0
16
0
0
0
0
0
0
0
16
32
57
8
8
0
0
0
16
8
32
32
32
8
8
8
16
0
48
24
0
0
4
8
8
24
24
8
8
8
8
0
0
17
16
0
8
5
16
0
0
0
8
8
8
0
0
2
8
8
0
0
0
5
0
0
8
8
1
0
0
0
12
1
1
16
0
8
8
20
20
20
20
0
0
8
1
1
1
0
0
0
8
8
1
1
8
16
0
0
0
0
4
1
1
0
32
8
2
0
1
16
0
8
0
0
0
0
0
0
0
0
24
0
4
4
8
0
0
0
16
0
0
0
0
0
2
2
2
16
0
16
16
0
8
4
4
4
4
0
5
0
0
8
61
9
9
0
0
0
16
16
0
0
0
0
0
28
8
0
8
8
0
16
16
0
0
0
7
7
16
8
8
0
1
9
16
16
16
0
0
8
16
16
16
1
8
0
0
0
0
8
8
0
16
8
8
8
8
8
2
2
2
16
16
16
0
16
8
8
8
0
0
0
16
0
0
16
16
0
0
16
8
18
18
0
8
8
8
22
22
4
4
0
0
8
4
0
0
0
0
8
8
0
0
0
1
2
2
2
5
4
16
16
8
8
8
6
6
8
8
8
8
8
1
1
1
1
16
16
8
8
0
0
0
16
16
0
0
8
1
8
16
16
16
16
0
0
0
0
0
0
16
16
16
0
0
0
8
8
0
4
8
0
8
8
8
8
8
8
8
1
2
2
0
12
12
0
2
16
0
0
21
21
21
0
0
2
2
0
0
8
8
8
0
0
0
12
8
0
0
0
8
8
8
8
3
0
0
0
0
0
0
0
16
0
0
8
32
0
16
0
16
16
16
0
16
16
0
8
0
8
8
8
8
16
4
4
4
4
0
0
0
24
16
16
4
4
0
8
8
16
16
8
16
0
12
4
12
12
24
16
30
0
8
16
16
8
8
8
0
12
0
1
1
1
1
0
0
20
0
8
8
4
16
16
0
8
8
8
8
8
8
2
2
0
0
9
4
4
4
0
0
3
25
12
8
8
4
0
0
0
0
0
0
0
0
2
0
0
8
8
8
22
24
24
24
0
0
4
0
0
0
0
0
0
0
0
4
4
4
8
0
16
8
8
16
32
0
4
0
0
8
8
0
16
0
0
0
0
0
0
16
16
0
32
12
8
0
0
0
0
1
8
8
8
8
16
16
4
0
0
0
0
0
8
8
8
8
0
0
17
8
16
16
8
34
34
16
16
0
0
0
6
6
6
0
0
0
0
16
8
8
8
8
0
8
1
8
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
1
2
6
4
4
0
8
0
20
16
0
0
8
16
0
0
8
12
32
32
32
24
0
32
0
0
0
16
0
0
0
0
32
0
16
8
0
0
0
23
16
16
0
8
16
0
0
0
0
0
16
16
16
2
0
16
0
0
8
8
8
8
8
8
16
0
0
8
6
6
4
24
24
24
16
0
0
4
0
0
12
32
0
8
8
8
8
8
8
0
44
44
44
1
0
0
8
8
57
16
16
16
16
16
0
0
0
0
4
8
0
0
0
16
16
8
8
8
0
0
8
8
0
0
0
8
32
32
0
48
16
0
0
0
8
8
0
0
24
0
4
16
0
0
16
0
0
8
8
0
0
8
8
8
16
0
0
0
4
6
6
4
4
0
8
8
8
0
0
20
20
17
8
8
16
16
16
0
2
2
2
2
0
0
0
0
8
8
0
32
32
0
1
0
0
40
0
8
32
0
0
4
1
1
2
2
8
1
2
1
17
8
1
1
16
6
0
0
12
12
8
0
16
8
24
24
2
0
0
0
52
32
32
0
0
5
5
0
0
16
16
16
1
0
0
0
0
0
0
0
0
0
0
0
8
1
8
16
20
0
0
9
16
0
8
63
0
8
8
0
0
0
0
0
0
1
0
0
0
1
0
0
16
16
32
0
0
16
0
0
8
8
8
8
8
1
1
8
16
32
8
0
0
0
2
2
10
10
10
16
0
0
17
24
2
2
0
0
0
0
0
24
16
16
60
60
16
8
2
16
0
4
4
17
17
0
0
28
20
20
8
8
1
32
2
2
4
0
0
0
2
0
0
0
8
8
8
0
0
0
8
0
0
0
8
1
16
8
18
16
16
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
0
16
1
0
1
22
22
31
31
0
0
6
6
8
8
1
1
0
16
0
16
16
0
32
32
0
0
8
8
8
0
0
0
0
0
0
18
0
8
8
2
2
0
0
4
1
1
16
8
0
0
32
8
0
0
8
0
0
2
16
1
0
8
8
2
2
0
24
24
24
24
0
8
0
1
4
16
24
24
0
8
8
16
1
1
0
0
0
0
0
0
28
0
0
0
0
0
16
0
0
0
0
0
8
0
0
0
0
8
8
4
8
8
0
0
16
0
8
0
0
0
8
24
24
24
24
0
16
32
0
0
2
16
4
16
4
8
8
0
0
8
2
1
24
24
24
0
0
16
16
4
0
16
0
8
8
8
8
8
0
16
0
1
1
18
0
4
0
1
4
0
0
0
0
0
0
0
0
16
16
0
0
8
0
17
17
17
17
16
16
0
0
8
4
0
0
40
40
16
16
0
16
0
0
8
24
24
1
4
2
8
8
8
0
0
0
0
0
16
16
0
0
0
24
8
33
4
9
0
0
0
0
0
0
0
0
2
32
0
0
0
4
0
8
8
0
2
2
6
14
0
8
24
16
2
8
8
0
0
0
0
8
8
8
31
8
1
16
16
16
0
0
9
4
0
28
10
10
1
0
0
0
8
8
8
0
16
0
0
4
9
16
20
16
16
1
16
0
0
16
16
16
16
16
0
0
0
0
0
0
0
16
16
8
16
0
8
8
8
0
16
16
0
32
32
0
0
0
0
1
1
4
0
1
16
0
4
24
24
24
1
1
1
0
16
0
0
0
12
8
8
16
16
1
0
0
0
16
16
16
16
16
16
16
4
0
8
8
4
0
0
0
0
0
0
0
0
0
16
8
1
8
0
0
0
0
0
2
16
16
1
1
0
0
0
0
11
11
8
2
2
2
2
0
21
0
24
24
24
24
0
16
16
16
0
8
0
0
0
0
0
0
0
0
0
8
8
1
1
1
0
0
8
0
8
24
0
0
0
0
4
8
16
8
8
8
8
0
8
8
8
8
0
1
8
0
0
16
32
52
16
8
0
0
4
4
4
2
16
8
6
12
0
0
20
20
32
16
16
4
0
2
0
0
0
0
20
24
16
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
0
0
0
25
25
25
8
8
0
16
8
0
0
0
0
4
0
16
16
1
1
16
9
0
0
0
0
8
8
0
0
0
8
0
0
0
16
2
2
4
0
0
8
16
16
8
16
8
24
16
8
0
4
4
4
16
16
16
16
20
20
0
16
0
20
0
16
8
8
0
16
24
24
0
0
0
16
8
8
8
16
8
24
3
3
8
16
16
1
1
1
0
16
8
8
8
8
8
0
16
2
32
0
16
16
16
0
0
8
8
2
0
5
1
28
0
0
24
24
0
4
8
52
52
16
0
0
0
0
0
0
16
0
4
0
24
8
0
0
16
1
0
0
28
0
0
24
17
0
0
0
0
0
4
0
0
1
0
2
16
1
1
0
16
16
24
0
0
8
9
0
8
0
0
0
8
8
8
4
4
16
16
16
0
0
8
8
8
8
0
0
32
8
8
8
0
32
0
16
0
8
0
0
0
0
0
0
0
8
8
0
0
8
0
32
24
8
2
2
0
0
0
0
16
24
8
1
8
0
8
8
0
0
0
0
1
1
0
0
0
16
16
8
8
0
0
8
8
0
0
0
4
4
4
0
0
0
0
0
8
8
8
0
0
4
0
8
8
3
12
0
0
17
12
0
16
2
16
0
0
16
0
0
4
1
0
4
0
8
8
0
0
0
0
0
8
8
0
16
0
1
2
0
0
4
0
8
0
0
0
8
8
8
0
0
8
4
0
0
0
0
8
8
8
8
12
4
8
4
16
16
8
2
0
24
0
0
8
0
0
0
0
16
16
20
20
8
0
8
8
0
0
16
8
0
0
0
0
0
0
8
0
4
4
18
0
0
20
17
24
24
0
0
1
0
1
32
8
8
17
18
18
0
8
8
8
0
0
0
0
24
0
0
1
16
16
16
0
0
16
16
0
4
2
14
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
24
4
0
0
0
2
2
8
9
9
9
8
0
0
8
1
0
8
16
0
0
0
0
16
1
12
16
17
0
0
16
0
0
0
17
17
17
10
10
0
0
0
20
0
0
1
1
0
0
0
8
0
0
0
16
8
8
8
0
2
1
8
8
1
1
1
0
0
0
0
8
0
4
4
4
4
16
8
16
16
0
0
16
8
0
8
16
16
16
16
16
0
0
8
0
0
0
0
0
0
8
0
8
4
16
0
0
0
0
0
4
4
4
4
4
4
4
4
16
16
16
1
8
8
8
16
16
16
16
16
23
1
17
0
0
0
0
1
4
16
8
8
8
8
8
8
0
0
0
0
0
16
20
16
16
16
16
16
16
16
16
8
24
24
16
0
0
2
0
0
0
0
0
0
8
8
8
2
8
9
1
1
1
8
24
24
24
24
33
4
0
14
14
16
0
0
0
8
0
0
1
2
0
6
6
8
16
8
4
4
8
4
0
1
0
0
0
0
0
8
0
0
0
0
24
16
16
16
8
17
17
17
17
17
0
0
0
0
16
32
20
24
24
24
24
24
8
8
0
0
8
8
4
8
0
1
1
0
0
0
4
10
10
10
10
10
10
10
16
16
8
0
16
16
0
0
0
0
0
8
0
16
16
0
8
16
16
0
0
16
8
16
0
0
24
24
8
8
8
16
0
16
16
8
16
0
16
8
8
0
2
2
0
0
0
8
8
0
0
1
1
0
32
16
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
4
0
0
0
8
24
24
17
17
17
17
0
0
8
16
16
0
32
0
0
8
8
8
0
0
0
0
1
8
0
2
2
0
0
1
4
0
0
0
4
4
4
4
9
9
0
16
0
4
4
4
16
0
0
16
0
0
0
0
0
0
16
0
1
1
8
0
0
4
0
8
8
4
4
16
16
0
24
24
8
17
4
20
8
8
8
0
0
0
0
0
1
20
1
1
0
24
8
0
16
0
0
0
0
0
0
0
8
24
24
8
8
0
8
8
20
8
0
0
0
0
0
16
16
16
16
16
8
0
0
8
1
0
0
0
32
32
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
8
8
0
12
12
0
16
0
0
8
8
0
0
8
0
0
16
16
16
0
16
0
0
16
0
0
0
24
16
16
8
16
8
0
0
0
0
16
16
0
36
36
0
1
0
0
0
0
24
0
0
32
32
32
32
0
0
0
1
2
2
0
0
1
1
1
0
4
16
1
0
0
8
8
8
0
0
16
16
0
0
0
4
16
16
25
8
8
1
1
8
8
8
2
37
37
0
0
0
0
4
4
0
0
0
0
0
8
4
0
4
0
0
0
0
0
8
0
0
0
0
4
4
8
0
0
16
32
32
8
8
8
8
8
8
0
32
4
4
0
0
0
0
8
8
12
4
4
32
8
0
0
16
16
16
16
0
0
16
0
16
48
4
4
0
0
0
0
12
12
12
12
12
12
20
20
8
8
0
0
17
17
8
0
0
2
2
8
0
7
4
8
16
8
0
8
0
0
0
0
0
0
0
0
1
0
8
0
2
8
0
16
16
16
16
16
0
0
0
0
4
0
0
8
16
16
0
16
0
0
0
27
2
1
1
1
0
0
8
8
8
0
0
8
8
0
16
16
0
1
1
0
0
8
8
8
8
8
8
0
24
24
24
24
16
16
0
0
0
2
0
0
2
0
0
0
0
0
0
0
16
24
24
8
0
0
0
1
1
0
0
8
0
32
32
32
48
0
0
24
24
8
0
0
0
0
16
0
0
0
0
8
8
8
0
0
0
0
0
4
0
8
0
0
1
1
0
0
14
14
14
0
1
1
0
0
0
0
8
0
8
24
5
5
5
5
4
16
0
0
0
0
0
0
0
0
8
0
2
2
8
8
19
1
8
1
1
0
2
2
0
0
2
2
16
0
0
8
0
0
0
0
4
0
0
0
0
8
4
16
16
16
16
0
10
8
8
0
1
1
16
0
0
0
0
0
0
0
0
0
24
24
8
1
0
0
8
0
1
1
8
0
16
16
16
16
8
0
0
0
0
0
16
3
0
0
0
0
0
0
8
8
0
0
28
28
0
0
0
0
0
0
0
3
0
8
32
32
0
0
0
16
8
0
0
0
8
8
8
1
1
8
0
9
9
16
4
0
8
8
4
4
0
4
2
0
0
0
8
8
16
8
8
0
0
16
16
6
0
24
8
8
8
1
0
16
16
0
0
0
0
16
4
0
8
8
8
0
0
0
16
0
0
0
8
0
17
0
16
16
16
16
16
16
16
16
16
16
16
0
8
0
0
8
8
8
8
0
4
0
16
0
16
16
16
16
0
4
4
16
4
0
0
16
0
0
8
8
0
0
0
0
8
16
16
0
0
0
0
0
8
16
8
0
6
0
0
0
8
0
8
0
1
0
16
0
0
0
10
8
0
0
0
0
8
2
4
0
8
8
8
8
8
0
0
4
16
0
25
1
1
1
1
4
4
0
0
0
1
1
1
4
1
10
10
0
0
0
24
8
16
16
0
0
16
16
16
16
12
0
0
0
0
8
1
8
0
5
5
8
8
8
0
0
1
16
8
8
16
16
8
8
8
8
0
0
0
0
0
24
24
24
16
18
8
8
16
1
0
8
8
0
0
16
0
16
0
1
0
0
8
8
8
8
0
0
0
1
2
2
2
2
2
2
2
2
0
0
16
16
16
16
16
16
8
8
0
16
0
8
0
0
8
0
8
16
1
4
0
0
0
16
16
0
0
8
8
8
0
16
0
0
0
4
0
0
4
16
16
1
1
1
0
0
5
0
0
0
18
18
0
0
0
0
16
8
16
16
0
24
0
0
16
1
8
8
8
8
8
1
1
1
0
0
0
0
0
0
0
0
8
1
1
0
2
8
0
32
16
16
0
0
42
0
0
8
8
21
0
0
0
0
0
8
0
8
8
1
25
0
0
0
0
16
0
16
16
16
16
4
0
4
0
8
8
8
0
0
4
4
8
32
32
32
0
0
16
16
16
16
16
16
16
16
16
8
0
4
4
0
8
8
8
8
10
4
18
0
8
0
0
0
2
8
8
8
0
0
8
8
1
16
4
4
0
16
16
4
8
8
8
8
8
0
8
8
0
0
0
0
8
32
4
0
24
0
0
0
2
0
8
0
0
0
0
8
8
16
16
0
0
0
0
0
32
32
32
0
0
16
16
16
16
0
8
8
8
0
0
0
0
2
8
8
8
0
17
17
17
0
0
0
20
0
0
0
0
32
32
32
8
8
0
0
0
0
30
16
0
0
0
2
0
0
0
8
4
16
16
16
0
0
8
0
0
0
0
0
0
0
24
0
0
0
0
0
17
16
0
16
16
1
1
1
16
16
16
0
21
8
14
0
0
0
0
8
4
8
16
0
4
0
0
0
0
0
0
4
0
2
2
2
0
28
12
0
9
9
12
0
0
24
24
17
17
4
0
0
1
0
0
0
0
1
1
1
1
8
18
18
0
0
0
0
0
0
8
8
8
8
8
8
0
0
0
0
0
0
1
1
1
8
0
0
0
0
0
0
0
8
8
8
0
8
0
4
4
16
16
0
4
4
4
4
0
0
0
0
8
8
16
0
0
0
0
0
0
2
0
0
0
16
16
16
16
0
0
0
0
0
4
17
1
0
0
0
0
0
16
16
0
0
0
8
8
8
0
0
0
1
0
5
0
0
2
0
1
0
0
0
0
0
0
8
8
8
8
0
2
2
16
0
0
0
0
0
8
20
0
8
8
16
16
2
0
16
3
8
0
8
8
0
20
8
8
8
1
1
1
0
0
0
0
0
24
1
24
0
8
0
0
32
3
32
2
0
0
0
0
16
8
16
16
16
16
16
0
8
0
8
8
8
0
16
1
8
40
40
40
2
0
25
32
0
0
20
20
20
20
10
10
10
0
4
4
0
8
2
16
0
0
16
8
8
0
16
20
0
0
0
20
0
0
0
8
20
0
16
20
20
20
8
24
16
16
16
32
8
8
8
8
16
0
8
2
0
0
0
0
0
0
0
8
16
0
0
8
16
8
8
8
24
0
16
16
8
8
0
0
16
1
1
1
1
0
0
0
16
0
0
8
16
8
0
8
0
16
16
16
16
16
16
16
4
0
0
0
0
0
16
4
4
4
4
4
0
0
0
0
8
8
16
16
16
16
0
4
32
0
10
10
10
0
2
2
2
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
8
8
8
8
0
0
0
0
8
1
1
1
2
2
0
0
0
4
4
16
16
0
4
4
0
0
0
0
0
0
0
24
1
8
16
4
4
4
4
4
0
0
0
0
0
0
0
0
0
0
0
0
8
8
1
0
0
0
0
16
28
4
0
0
8
8
8
8
0
8
8
0
0
0
0
0
0
16
0
16
16
16
16
16
16
8
0
0
0
0
6
0
0
16
0
2
4
18
8
8
8
0
20
0
0
0
0
1
1
0
2
2
0
0
16
32
0
0
8
3
3
3
2
2
16
16
0
32
38
32
4
17
16
32
32
32
32
0
0
0
0
0
0
16
16
16
16
1
1
0
10
0
0
0
0
0
0
0
0
0
16
12
8
0
0
0
16
16
0
0
0
0
0
0
16
16
48
0
0
6
6
4
4
0
0
0
0
0
8
8
8
8
2
2
24
16
0
16
8
0
16
0
16
16
16
0
8
16
16
16
16
0
0
24
4
0
8
0
16
0
0
0
0
8
0
0
9
8
16
16
1
0
0
0
0
0
0
0
1
0
8
8
17
0
0
8
8
4
0
0
0
0
4
4
0
0
0
2
0
0
10
2
0
0
16
0
0
16
16
40
40
0
16
2
2
8
8
8
8
8
0
0
0
8
8
0
0
0
0
0
1
1
8
0
2
2
2
4
0
18
0
0
12
0
0
0
0
0
0
0
0
0
16
0
0
4
0
0
24
24
24
16
0
16
16
2
0
0
16
16
28
8
8
0
5
1
0
0
0
0
0
8
8
24
2
2
2
0
0
0
24
0
8
8
2
0
0
0
16
24
4
0
0
0
8
0
0
0
16
0
1
17
24
0
8
10
1
0
8
24
8
8
8
20
20
20
16
16
0
0
0
0
0
0
0
1
16
0
0
0
0
4
0
20
0
0
0
0
8
8
0
2
1
1
0
16
16
8
8
16
16
1
4
4
8
8
0
0
0
0
0
0
0
0
0
16
16
26
26
0
0
1
1
16
24
6
6
0
16
16
1
0
16
16
16
8
5
25
25
0
0
8
0
0
8
16
0
0
16
16
16
16
16
0
36
16
0
8
8
8
4
0
18
16
16
16
16
4
0
8
8
0
0
0
8
8
8
0
0
16
1
1
4
32
32
0
0
8
8
16
6
1
0
0
9
1
1
0
2
2
2
2
0
0
16
32
0
0
8
0
16
16
1
1
1
24
24
0
4
4
0
0
0
0
0
0
0
0
10
10
0
0
0
0
4
4
2
24
24
24
8
8
8
1
1
32
32
18
18
8
0
0
8
4
4
4
4
8
16
0
9
16
16
16
32
32
24
0
0
0
16
16
16
0
0
12
2
8
2
2
0
16
16
8
8
0
0
0
12
1
0
0
0
0
16
16
16
16
16
16
16
0
2
0
0
4
4
4
5
8
8
8
0
8
17
0
0
32
8
40
1
0
4
0
0
4
4
8
0
16
0
0
4
1
1
1
1
0
0
10
10
1
1
0
8
0
2
0
0
0
16
16
0
0
0
0
0
0
16
1
0
16
1
0
8
1
0
0
8
8
8
8
8
0
8
0
0
0
0
1
8
2
1
1
0
0
0
0
0
0
0
1
1
0
8
0
0
8
8
0
0
0
0
8
8
0
0
0
4
0
0
16
0
2
4
8
0
0
8
0
0
1
1
0
0
17
0
0
4
4
0
16
16
16
0
4
0
8
8
8
4
24
4
48
48
0
8
8
8
8
8
8
0
4
6
4
8
8
0
0
0
2
8
8
0
0
0
0
0
0
0
0
18
4
0
0
0
0
0
0
0
0
0
20
6
6
8
8
8
0
24
24
0
0
4
4
4
8
20
20
0
0
56
24
4
0
0
0
0
0
8
8
16
32
16
16
8
0
8
0
0
0
0
32
8
40
8
0
1
1
4
3
8
8
8
16
16
0
18
30
0
16
1
0
9
20
20
0
0
0
16
0
8
8
8
8
56
12
2
0
0
0
16
16
1
8
8
8
8
4
4
2
2
16
8
16
16
1
0
8
16
16
0
16
0
8
8
8
8
0
0
0
1
16
0
8
0
8
2
2
36
0
0
8
8
0
0
4
4
8
8
0
0
8
8
8
8
8
16
16
16
3
3
0
0
8
8
8
0
24
0
16
16
0
8
0
0
0
8
0
8
8
8
8
8
8
32
32
0
1
2
2
2
2
0
8
8
8
0
0
0
8
4
4
0
0
0
0
16
16
0
0
0
0
4
8
8
0
0
0
16
8
8
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
20
8
1
0
0
26
10
0
4
0
4
4
0
24
0
17
0
0
0
0
0
0
0
0
0
0
0
0
0
1
32
1
0
0
8
0
0
0
40
16
16
8
1
0
0
4
4
8
8
4
4
0
0
0
8
2
8
0
0
0
8
0
0
0
0
0
8
16
16
0
0
0
8
8
16
16
16
18
0
8
8
16
0
6
6
0
8
8
8
8
8
0
8
8
8
8
0
0
4
12
4
8
25
25
24
42
42
0
0
16
8
4
8
0
0
16
0
17
1
8
0
0
0
30
0
16
8
32
16
16
16
8
0
0
0
0
0
0
4
4
8
4
4
0
24
24
24
24
1
16
8
8
4
4
0
0
16
8
0
0
1
16
16
16
10
2
0
0
0
8
0
0
16
16
1
1
0
0
2
2
2
0
0
8
0
1
1
0
0
0
8
8
8
8
8
8
8
4
0
8
8
8
8
8
0
0
0
0
18
8
0
2
2
16
0
0
0
0
8
0
0
0
0
0
0
1
16
16
16
0
4
4
4
4
0
16
16
16
16
16
0
0
0
2
0
0
0
16
0
0
0
8
12
0
0
16
8
0
0
0
2
0
0
32
0
0
8
8
8
0
0
8
8
4
22
6
0
1
16
16
16
16
16
0
8
8
8
0
8
8
32
4
8
8
0
0
16
16
0
0
0
0
8
8
8
8
0
16
8
2
4
24
1
1
8
32
32
0
0
0
4
4
16
16
0
0
0
0
16
16
16
4
12
12
12
0
20
8
8
1
0
0
0
4
4
0
0
8
16
0
20
0
8
34
8
0
0
0
0
0
0
32
32
32
8
8
0
0
8
8
8
8
0
0
16
16
16
8
8
1
1
16
9
9
9
8
6
0
0
8
52
1
8
2
2
0
0
0
0
0
0
0
2
2
2
16
24
24
0
0
1
16
8
8
0
0
8
0
0
0
16
8
8
0
8
0
0
0
0
2
16
8
16
0
8
8
8
2
2
2
8
8
0
0
8
8
16
16
8
0
8
24
0
16
1
1
1
1
16
24
0
0
0
0
0
56
20
0
0
0
0
0
16
0
8
0
16
1
1
16
20
4
8
8
0
0
0
1
0
4
8
0
0
16
24
24
8
8
24
4
8
4
4
0
15
0
0
9
0
0
24
2
8
8
8
8
0
0
17
1
16
16
8
8
16
16
16
0
4
32
32
32
0
0
0
0
0
16
16
0
8
8
8
0
0
0
16
0
0
0
16
16
16
16
0
0
0
0
16
0
1
8
8
17
17
4
16
16
1
2
8
1
8
0
0
1
1
1
1
8
8
0
0
2
8
2
2
1
0
1
0
0
0
0
0
0
0
2
20
16
16
4
4
0
8
8
6
8
8
8
0
0
0
8
0
0
0
0
0
0
0
12
4
4
8
8
0
0
0
0
0
12
0
0
8
1
0
0
0
0
0
24
0
0
0
17
16
16
16
16
16
16
0
16
16
16
8
0
1
8
8
0
0
40
32
0
32
0
0
0
0
16
16
16
16
16
16
16
16
16
8
16
8
0
16
16
16
0
0
16
17
28
8
8
0
0
8
8
16
16
0
0
0
19
0
0
8
8
0
0
0
8
16
0
0
0
8
8
8
16
32
8
32
32
8
0
0
0
1
16
16
0
8
0
16
16
8
4
0
16
16
16
0
16
1
1
16
16
16
8
0
0
0
0
4
8
32
32
0
0
0
0
16
8
0
0
37
0
0
8
16
8
0
8
8
16
16
8
8
16
0
32
32
8
0
4
0
8
8
8
16
0
0
0
0
8
4
0
0
0
26
24
16
0
8
8
1
16
0
0
0
0
0
0
8
8
8
16
0
0
0
0
0
8
8
8
8
8
0
1
9
0
8
0
4
24
17
17
17
8
0
0
4
0
0
44
0
0
8
0
0
16
0
32
0
32
32
2
1
0
0
0
0
0
0
0
0
55
55
0
0
0
0
20
16
0
4
8
8
8
0
0
0
0
0
0
8
0
0
0
8
17
17
16
8
8
8
0
0
0
0
16
0
0
0
0
0
8
8
8
0
0
16
0
0
0
0
0
16
8
0
0
1
9
0
16
8
0
0
0
0
0
4
2
8
18
16
1
8
8
16
8
16
0
16
12
52
8
8
8
6
16
16
16
2
2
57
57
8
1
0
0
2
0
0
0
8
8
16
1
0
0
8
8
8
8
8
24
8
0
4
4
1
8
8
8
8
4
4
4
16
16
4
16
0
8
8
0
0
0
0
4
2
2
8
8
8
8
0
24
24
24
8
8
8
8
16
8
8
8
0
0
4
4
0
0
4
12
12
16
16
16
0
0
0
16
0
0
8
4
0
24
24
8
8
0
0
0
0
0
0
16
8
16
16
4
4
8
0
49
5
5
5
0
2
2
8
8
1
0
3
16
16
0
0
8
16
0
0
0
0
16
0
1
1
1
16
0
16
16
16
0
24
0
0
17
2
2
0
0
0
16
0
0
16
24
0
0
32
0
2
16
16
16
16
8
8
0
8
27
27
27
27
16
0
0
0
0
0
0
0
20
4
0
0
32
33
1
0
0
0
0
16
8
0
0
0
0
4
18
0
0
0
8
8
8
0
1
0
0
16
16
16
16
10
10
32
32
32
0
0
0
0
0
8
8
8
0
0
8
16
16
8
8
0
3
0
32
16
16
16
16
0
0
4
8
8
8
8
8
8
8
56
56
56
56
0
0
1
1
8
8
16
8
0
1
1
1
8
12
0
2
2
2
4
4
4
8
8
8
2
2
4
1
1
8
0
8
18
0
0
4
4
0
5
5
4
16
0
0
0
4
0
1
0
8
0
7
48
48
20
20
20
20
20
20
20
20
0
0
4
4
0
16
0
16
20
4
0
0
16
0
16
4
0
4
4
8
8
8
16
0
0
0
24
0
2
16
16
16
0
0
0
4
4
4
16
2
0
0
0
8
8
8
8
8
0
16
8
8
8
8
16
0
0
0
4
0
0
1
16
0
1
1
1
0
0
8
8
0
4
4
4
0
0
2
0
0
0
8
8
8
0
0
0
0
0
0
20
24
0
0
24
16
16
0
0
2
8
8
8
8
2
16
16
0
0
0
8
8
8
8
0
0
0
0
12
1
1
0
16
0
12
0
8
8
8
8
8
8
0
0
0
0
0
0
16
16
16
16
16
9
9
9
8
8
8
8
8
16
16
16
16
17
17
8
0
0
8
0
0
2
2
0
0
0
16
8
8
0
0
0
0
4
0
10
2
0
20
16
0
0
16
8
8
0
16
16
8
8
16
39
0
0
0
8
1
0
0
0
16
16
4
16
30
0
2
2
0
0
3
3
3
0
4
2
36
0
0
16
0
0
24
0
16
16
8
0
0
8
10
0
0
16
1
8
32
16
0
1
0
0
0
0
4
16
32
0
0
8
8
0
16
17
1
16
16
8
8
16
0
0
0
8
1
4
0
0
0
0
12
1
1
1
1
8
8
58
1
8
0
0
16
16
16
16
16
8
0
0
0
0
16
0
8
8
0
16
0
0
0
2
0
4
4
0
16
16
0
8
0
0
0
0
0
16
0
0
16
0
16
8
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
17
4
17
17
8
8
0
0
16
0
8
8
0
1
0
8
0
16
16
4
4
4
8
2
16
16
17
16
2
0
8
8
0
8
8
8
1
1
1
1
8
8
0
0
0
16
16
8
8
8
0
0
0
0
0
12
0
8
8
8
8
4
8
16
0
0
8
8
8
8
0
24
16
16
16
8
8
0
8
0
0
0
0
8
16
16
16
16
0
0
0
0
1
1
0
0
0
0
32
0
16
16
16
0
16
16
8
16
0
8
0
0
0
8
0
0
57
57
57
57
57
0
0
0
1
16
0
0
0
1
16
2
1
1
1
1
16
16
0
0
4
4
4
2
2
8
8
1
0
2
8
8
8
8
16
0
1
0
0
8
8
0
0
8
0
8
4
1
8
8
4
4
29
8
8
0
0
0
20
0
0
0
1
0
0
0
0
8
32
24
0
1
1
1
16
24
24
24
24
24
2
2
2
0
0
0
20
20
0
49
49
16
1
9
1
0
1
1
16
16
16
0
0
16
16
16
0
16
16
1
16
0
24
8
0
0
4
4
4
4
0
0
16
8
8
36
8
0
8
8
0
8
0
2
8
0
0
0
0
8
8
2
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
1
0
0
4
4
4
4
4
0
0
16
16
16
16
0
0
0
0
0
0
0
8
24
0
0
0
8
8
8
8
17
0
0
0
0
0
0
0
32
48
48
48
0
0
0
0
0
0
0
0
0
0
0
0
1
0
16
0
0
8
8
8
8
8
8
8
0
8
0
16
1
0
0
0
8
0
8
0
0
0
8
0
0
16
0
0
4
4
0
16
16
0
32
32
1
1
57
0
0
0
1
0
8
0
24
2
0
8
8
8
8
8
0
8
0
0
0
57
0
0
0
0
4
8
17
8
0
24
24
24
8
8
8
24
0
0
1
8
0
16
16
8
24
24
24
24
24
16
8
8
8
0
1
8
1
1
1
1
0
0
0
0
1
1
4
28
0
16
16
16
32
32
0
0
0
16
16
8
16
16
0
0
0
0
2
16
16
16
0
8
0
12
0
0
0
0
0
0
0
8
8
0
0
1
1
1
0
0
16
16
16
16
0
0
0
32
8
8
8
16
0
0
8
2
2
2
4
0
8
0
0
6
12
0
0
0
8
8
8
16
2
16
8
16
8
8
0
0
0
0
16
16
16
9
8
18
18
18
0
16
0
0
0
0
0
0
0
0
16
0
0
0
16
8
8
8
16
0
8
8
8
8
0
0
0
0
0
0
0
16
16
16
8
8
0
1
4
8
0
0
4
8
0
8
0
0
32
0
1
16
16
8
2
2
1
0
1
1
16
2
1
8
1
1
0
16
16
16
16
16
16
4
8
10
0
32
8
0
28
0
16
0
0
0
0
0
16
0
0
0
0
0
0
0
4
0
0
16
0
0
16
16
0
0
0
0
9
0
8
0
8
0
0
0
8
4
6
6
6
6
0
20
32
32
0
0
0
4
4
0
0
2
2
2
0
0
0
8
0
0
0
8
8
8
16
16
0
0
0
4
4
0
0
0
8
0
0
1
1
0
0
8
8
8
16
1
0
0
0
0
8
0
2
0
0
8
1
0
0
8
8
8
8
8
8
8
8
8
8
8
4
1
8
0
0
0
8
0
0
0
32
32
0
0
0
4
4
16
0
0
0
0
0
0
1
1
0
3
0
0
0
4
16
16
0
4
1
1
1
1
0
0
0
0
0
0
0
0
0
16
1
8
1
0
0
16
24
0
0
2
4
0
0
4
4
0
0
0
0
0
1
2
0
0
0
16
0
0
0
0
0
0
2
0
0
37
37
8
0
16
9
8
16
0
16
16
0
16
0
0
16
16
0
0
16
0
5
1
1
0
16
0
0
0
0
12
8
8
0
2
8
4
0
0
8
0
8
16
0
0
0
8
8
8
4
20
4
16
1
6
8
0
0
0
0
0
0
0
0
1
1
0
8
0
0
6
0
16
16
8
0
0
0
0
0
16
16
8
6
2
2
0
0
0
0
0
16
4
8
8
0
0
20
16
16
16
0
40
40
1
4
4
0
16
16
7
2
0
0
0
8
16
16
8
16
16
0
0
8
1
0
25
0
2
2
8
32
16
0
0
8
8
4
4
8
0
0
0
0
0
0
0
0
16
9
0
22
0
0
0
0
0
0
0
8
32
0
16
0
0
16
12
1
1
0
0
24
24
8
8
1
17
8
0
0
0
0
0
24
24
0
0
0
0
4
0
0
0
0
8
0
0
8
8
8
38
38
0
0
0
0
4
4
0
0
0
40
40
0
24
24
0
0
16
16
8
45
16
16
16
0
0
0
10
16
32
1
1
0
0
0
16
16
16
16
16
20
8
0
16
9
0
8
8
16
0
0
16
8
16
8
8
8
8
0
4
4
8
8
8
8
4
0
16
4
4
4
4
8
8
8
0
0
0
0
0
8
8
8
4
0
0
0
0
16
0
32
32
8
0
16
0
0
8
0
0
8
1
0
32
32
32
32
17
0
0
0
8
8
0
8
24
0
0
0
0
16
8
1
0
0
0
16
16
2
56
0
0
16
16
16
0
8
0
0
0
0
0
0
0
16
0
0
0
0
16
16
0
0
0
16
16
16
8
0
0
32
0
0
6
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
24
0
0
20
8
16
16
16
40
40
16
16
0
0
0
0
0
0
0
4
4
8
8
8
18
1
1
1
1
1
1
0
0
0
1
0
0
0
8
0
0
0
0
2
2
16
16
0
8
8
0
0
19
8
0
0
0
0
0
8
8
0
0
0
8
8
8
8
8
8
0
0
0
0
0
0
5
10
16
2
16
0
0
0
0
8
8
16
0
0
0
24
2
2
0
16
16
8
4
4
8
16
0
18
30
6
0
0
0
0
2
16
0
0
8
2
16
2
10
16
16
16
0
0
0
33
36
32
8
8
8
8
8
8
16
16
16
16
0
16
16
0
32
1
8
8
0
8
0
1
8
2
4
4
0
0
0
0
0
0
48
8
9
8
16
0
0
34
2
0
1
3
3
1
1
0
10
10
8
0
0
16
0
0
0
0
0
0
24
16
16
4
8
16
16
8
8
0
0
8
8
8
0
2
2
8
0
0
0
16
0
0
0
2
0
4
4
8
8
8
0
0
0
0
0
0
0
0
8
12
8
12
16
16
17
17
16
16
16
8
2
2
2
0
16
8
4
24
24
4
0
16
16
16
4
0
0
0
0
0
0
0
0
8
8
8
8
16
0
0
4
4
4
2
0
0
0
4
1
0
0
8
40
4
4
8
8
8
4
4
4
4
8
4
8
8
8
8
0
16
0
10
10
10
10
16
16
16
16
0
0
0
8
8
8
0
16
16
16
16
16
0
0
0
25
25
0
0
8
0
0
4
4
0
4
0
0
16
8
4
4
4
0
0
8
8
8
8
8
0
0
4
0
8
0
0
0
0
0
0
16
1
16
16
16
14
16
0
0
0
4
0
0
0
0
0
0
4
4
4
4
4
4
4
0
2
2
0
24
0
0
0
0
0
8
8
52
52
52
52
2
2
0
0
0
0
0
0
0
0
0
0
0
16
16
16
52
0
0
2
16
0
0
0
0
16
16
0
0
0
0
5
0
0
0
4
4
1
9
0
0
1
0
0
1
16
26
0
0
2
8
0
0
0
4
16
0
0
0
34
0
0
0
0
0
20
33
2
0
0
0
0
0
0
0
0
0
0
0
0
8
0
2
0
0
0
0
24
0
0
0
0
8
4
28
28
0
0
0
0
16
0
8
24
8
8
8
0
1
16
0
0
0
0
16
0
25
1
25
18
0
0
1
1
8
8
0
60
60
60
0
0
0
0
0
0
8
0
16
16
16
5
0
0
0
16
16
0
0
0
4
2
4
4
0
0
0
0
16
16
0
0
4
0
24
24
8
4
8
16
0
0
32
8
0
17
8
8
8
8
8
0
0
16
8
0
0
2
4
4
0
0
0
16
0
0
0
0
0
0
4
4
4
8
8
8
8
17
17
0
0
0
3
0
8
8
8
2
16
16
0
4
4
4
0
16
16
16
0
8
0
0
2
14
6
0
12
16
0
8
0
0
0
0
0
0
0
0
16
16
16
0
0
0
16
16
16
0
0
8
8
0
0
0
8
16
8
1
40
0
2
0
0
0
8
8
8
2
56
1
8
8
8
4
4
9
9
0
2
2
8
8
8
2
8
8
0
8
8
8
0
8
8
4
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
2
2
2
0
8
8
0
8
57
8
0
17
25
25
8
8
0
16
16
16
0
0
0
0
0
8
8
8
4
0
4
0
8
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
16
8
8
8
8
8
2
16
12
2
2
16
0
0
0
0
32
32
8
0
8
8
1
1
0
8
0
0
0
8
16
0
0
16
16
2
0
0
0
8
0
8
8
0
0
0
0
0
0
0
0
1
1
1
0
8
8
8
0
16
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
12
32
32
0
0
0
0
0
0
0
0
8
8
40
0
0
0
16
16
0
0
0
0
0
27
0
16
0
4
4
4
0
0
8
0
16
16
8
16
16
16
0
8
8
0
0
0
4
0
0
0
0
16
0
0
16
16
16
8
16
24
16
16
1
1
1
2
1
8
0
0
0
32
24
24
9
9
0
1
1
1
1
2
0
0
16
16
16
0
0
16
16
16
16
4
4
3
16
1
4
4
0
8
8
1
0
0
25
16
16
0
0
0
0
48
48
48
16
16
0
0
0
8
8
41
41
41
0
0
18
2
8
16
16
16
16
16
0
16
0
0
16
16
16
16
0
0
0
0
40
40
2
0
16
16
0
0
0
0
32
32
0
0
0
0
0
29
0
8
0
8
8
0
29
0
0
16
8
4
1
0
4
4
4
0
0
2
4
4
0
0
0
0
8
8
0
0
0
0
0
36
36
0
0
0
0
0
0
0
8
0
0
8
8
8
16
0
0
0
0
16
16
1
56
0
0
0
12
0
0
0
4
0
0
0
4
0
0
8
1
0
32
16
8
8
0
0
0
41
41
41
4
4
8
0
0
8
0
0
0
0
0
0
4
4
4
4
16
0
16
16
16
0
8
8
16
0
0
8
0
1
8
1
1
1
1
1
8
8
8
8
8
0
0
0
4
4
32
32
8
8
0
0
8
2
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
5
8
16
2
8
8
16
8
0
0
0
0
0
8
16
8
8
8
8
8
0
1
8
8
0
1
8
0
1
0
4
0
1
4
0
0
0
8
0
0
0
4
1
0
0
0
0
0
8
8
8
16
0
0
4
4
4
4
4
0
16
16
4
4
4
0
0
0
0
0
0
16
16
16
2
16
16
16
16
8
9
0
8
0
0
0
16
0
0
0
0
0
0
0
0
8
16
16
17
17
2
0
16
1
8
0
0
0
1
2
0
4
16
6
0
8
16
16
16
0
0
0
0
0
28
28
12
12
0
0
0
16
16
0
0
0
0
0
8
8
0
0
16
16
16
16
25
4
16
4
20
4
1
18
0
0
8
0
0
0
0
1
0
4
4
0
8
8
0
0
16
0
2
2
2
2
2
0
0
0
8
0
8
0
0
0
32
1
0
4
4
4
4
0
0
16
8
8
16
8
0
20
20
8
0
1
1
24
8
0
16
8
16
0
1
4
0
16
16
16
16
58
1
2
7
7
7
8
16
16
4
4
4
4
4
1
16
18
2
8
8
1
1
0
0
1
1
1
1
1
1
1
1
8
0
16
28
0
0
16
16
5
0
0
16
16
16
2
2
0
4
4
2
24
8
28
28
2
0
0
0
0
0
4
8
5
1
16
16
0
0
0
16
16
16
16
16
8
0
0
0
0
8
0
8
0
0
8
10
0
16
16
0
0
0
0
21
24
0
0
0
0
16
8
8
0
12
12
12
0
0
0
8
16
0
32
0
0
8
37
16
8
8
0
8
12
0
0
4
0
0
0
0
0
1
5
5
0
8
4
0
0
0
0
16
0
0
8
8
0
8
8
16
0
8
8
24
24
24
16
8
10
10
8
0
16
16
8
8
17
16
0
8
0
0
0
0
0
0
0
0
0
24
0
6
16
0
0
0
0
0
0
0
0
0
0
16
32
16
4
0
0
24
24
0
8
8
0
0
0
32
32
8
26
26
24
24
0
0
16
16
4
0
1
8
4
4
0
0
8
16
16
16
0
0
8
16
16
0
0
0
0
16
0
0
1
8
8
0
0
1
1
0
0
32
32
0
0
0
0
0
0
0
4
0
0
0
0
0
0
16
0
0
26
17
0
0
0
0
0
5
5
5
16
16
16
16
8
0
32
32
0
0
16
0
0
8
8
16
25
0
0
4
8
0
8
8
0
0
8
16
8
8
16
16
16
8
8
0
8
6
6
10
8
0
16
0
0
8
2
2
2
2
8
0
0
1
1
1
0
16
0
32
32
8
0
0
0
16
16
0
0
0
8
0
0
16
4
0
0
0
8
8
0
4
8
8
8
0
0
0
0
16
4
4
16
16
16
0
25
8
1
1
0
0
8
8
16
16
16
16
0
16
0
0
0
16
0
0
0
0
0
4
24
0
0
0
1
1
1
8
8
0
8
8
0
0
0
0
0
0
0
8
8
8
8
4
0
1
0
16
0
0
0
0
2
0
2
0
8
8
16
2
0
24
2
0
0
0
2
0
0
9
24
0
0
0
0
16
12
4
0
8
8
40
2
8
2
2
8
0
4
20
20
4
4
0
0
0
0
0
8
0
2
1
1
1
16
0
0
16
0
0
0
17
48
0
0
0
1
1
8
0
16
16
16
4
4
4
24
8
8
8
8
2
8
0
0
8
8
8
0
0
16
0
2
2
8
16
16
0
8
8
8
8
16
0
0
0
0
0
0
1
8
16
16
30
0
8
8
0
8
0
16
0
16
16
4
1
1
0
0
2
0
8
8
16
0
8
4
16
16
0
0
0
8
4
0
0
2
2
0
0
16
0
0
0
0
0
18
8
0
0
0
0
0
0
0
0
4
32
32
0
0
16
0
16
8
28
0
8
0
0
0
8
8
8
8
0
8
0
0
0
13
53
8
9
0
0
8
0
0
4
4
4
16
0
16
1
0
0
0
8
0
17
0
0
8
8
8
8
0
1
0
21
32
4
0
0
0
4
0
1
0
40
5
0
16
16
4
8
0
0
16
9
4
4
4
0
1
8
8
4
8
8
8
8
0
0
0
0
16
16
24
16
8
32
0
1
0
0
0
0
16
8
16
0
0
0
0
0
4
48
48
0
16
16
16
0
0
0
0
16
16
0
0
0
1
4
4
4
0
8
8
8
8
8
8
0
0
0
8
16
8
8
16
0
8
8
8
0
0
0
0
12
0
0
28
28
8
32
1
32
33
1
1
0
0
4
0
8
8
8
8
8
8
16
49
49
0
0
0
16
16
16
0
0
9
16
0
16
8
0
3
0
0
0
0
0
17
17
0
0
0
0
0
8
0
0
0
0
0
6
0
8
8
0
0
0
2
2
2
0
8
16
16
0
8
0
12
0
16
0
0
9
1
0
0
4
24
0
0
0
0
16
2
4
4
0
0
0
16
16
16
0
8
0
8
8
0
0
32
0
8
24
24
24
2
18
0
0
0
0
0
1
1
0
0
0
0
0
8
4
0
0
0
0
0
16
8
0
0
0
0
0
32
0
16
1
0
24
24
0
4
0
8
24
0
4
32
32
8
8
4
0
0
0
8
8
0
0
0
0
8
8
16
16
1
0
0
8
0
0
1
0
0
25
8
8
8
0
8
8
8
8
23
0
24
0
0
0
0
0
2
2
16
19
19
0
17
17
8
0
0
0
8
0
0
0
16
16
4
4
24
24
8
8
12
16
16
16
8
0
0
0
7
2
32
32
0
0
0
0
0
0
16
16
0
1
0
0
0
0
0
19
24
0
16
8
25
0
0
0
8
8
8
0
16
0
0
0
0
0
0
0
0
0
16
16
0
0
16
16
16
0
2
36
16
16
8
0
0
0
0
0
4
4
8
8
16
8
8
8
0
8
8
0
0
8
8
0
16
0
30
8
1
1
1
1
1
8
8
0
0
0
4
8
8
8
8
8
8
8
0
8
0
4
8
8
0
8
3
7
8
0
0
0
0
0
0
0
8
8
8
0
0
0
0
8
0
8
0
8
8
24
8
16
8
24
16
42
42
24
8
8
0
8
8
0
8
16
8
8
16
16
0
0
1
4
4
8
16
24
0
0
8
0
2
2
4
22
22
2
0
16
8
1
0
0
0
0
0
0
0
16
0
0
0
0
0
24
17
8
0
24
0
0
0
4
16
16
1
0
1
1
0
0
16
8
8
8
18
18
18
18
17
0
48
1
32
32
8
8
2
0
0
0
16
16
0
20
0
8
8
8
8
8
2
2
0
0
8
0
0
0
0
0
8
8
8
8
8
8
0
0
20
20
4
0
4
0
24
0
1
0
0
8
1
1
8
8
18
16
0
0
0
4
0
4
8
1
8
8
2
2
0
16
16
26
0
0
0
0
0
0
1
1
16
0
0
8
8
9
9
16
0
0
16
16
4
0
0
16
0
0
0
0
2
8
8
8
8
8
4
1
8
16
6
0
0
20
20
20
0
0
8
8
0
0
16
0
0
16
0
0
0
16
16
10
16
23
0
0
0
0
8
8
0
0
0
0
8
16
16
8
8
0
16
16
16
2
0
16
16
32
0
0
0
2
2
2
16
0
16
16
32
32
0
0
0
0
3
3
8
16
16
0
0
0
0
2
0
0
0
8
0
0
0
0
8
0
56
56
2
0
8
16
16
4
4
8
8
8
0
0
0
0
0
8
0
16
8
0
2
0
0
8
8
8
0
0
0
0
17
16
8
0
17
4
4
4
8
0
8
0
0
0
0
8
0
1
17
17
8
0
0
16
55
55
8
8
0
0
1
1
1
8
0
0
8
0
0
0
0
0
16
16
0
8
8
8
0
0
0
0
8
1
0
12
12
14
14
0
0
24
24
16
8
8
0
32
32
36
0
8
0
4
0
0
24
16
0
16
16
16
8
8
8
1
1
32
0
8
0
0
0
0
0
0
16
20
8
33
0
0
8
8
0
0
1
0
0
0
0
16
1
1
8
8
8
10
10
0
8
4
0
16
16
16
16
16
0
16
16
0
0
0
16
0
4
4
4
4
29
18
18
0
4
9
16
4
4
4
16
16
0
16
16
5
0
8
0
0
2
0
8
24
24
8
8
8
8
0
8
0
2
8
8
4
4
8
4
4
0
0
0
4
2
16
0
0
0
0
16
16
8
8
16
0
0
16
1
1
16
16
16
0
8
8
0
0
0
0
0
0
0
0
0
0
8
0
1
1
0
9
9
0
40
8
8
8
0
0
0
16
16
0
0
0
0
0
0
8
0
7
6
1
17
8
8
8
8
4
0
8
8
8
8
0
1
0
0
0
4
0
0
0
0
0
8
0
0
0
4
0
0
32
32
16
0
0
0
0
8
8
0
16
16
0
0
0
8
0
0
8
8
16
0
0
16
0
0
8
0
0
8
24
8
32
10
16
0
0
0
16
16
16
0
8
0
0
24
0
0
0
4
0
0
0
16
0
0
0
0
0
2
17
17
4
0
0
0
17
17
17
8
8
16
4
9
8
8
0
32
24
0
0
0
0
0
0
8
8
4
0
24
1
0
16
8
8
0
24
0
0
4
17
8
9
16
0
16
0
16
32
0
0
0
0
0
16
16
16
0
16
8
8
0
0
16
0
0
1
1
16
4
0
16
0
8
8
0
0
0
8
0
2
8
2
4
0
8
0
0
0
0
8
8
0
0
0
16
0
0
0
0
0
8
2
0
18
32
0
0
0
0
0
0
24
8
16
35
35
20
8
0
0
8
3
8
8
8
0
0
0
0
0
8
16
0
0
8
0
0
0
0
0
0
0
0
0
1
1
0
0
2
8
0
8
0
0
18
22
4
4
8
0
1
1
1
0
0
8
0
0
20
16
0
0
0
24
24
1
0
8
0
8
8
8
1
0
0
16
0
0
16
0
0
1
4
8
8
0
0
4
0
0
0
16
0
0
0
8
0
24
2
2
2
0
0
0
0
0
8
2
1
0
0
4
4
4
4
4
4
48
8
0
0
0
0
0
24
24
24
24
0
0
6
2
8
8
4
4
8
0
8
16
0
0
0
8
16
16
0
24
0
16
1
18
18
2
2
2
8
0
0
0
0
8
8
0
0
0
0
0
0
0
0
8
8
0
8
0
0
0
4
4
4
4
16
8
8
2
2
16
0
0
8
16
0
0
0
16
0
0
0
2
0
0
0
16
16
16
8
0
0
4
0
0
16
0
0
0
0
0
8
16
16
16
16
0
0
8
0
0
8
1
1
0
8
8
8
0
16
2
16
0
1
8
1
0
0
0
4
0
0
12
32
32
32
4
0
0
0
4
16
9
8
33
33
33
0
0
2
2
2
2
2
2
8
0
0
0
0
16
8
8
8
8
9
9
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
8
0
0
0
0
0
0
0
0
2
0
0
4
0
0
0
0
1
1
8
8
0
0
0
0
0
0
8
2
0
4
4
20
0
8
8
8
1
1
24
0
0
0
0
8
8
8
16
16
16
16
16
16
0
1
0
0
8
4
7
8
8
8
8
0
8
0
16
16
8
8
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
16
0
8
8
8
16
8
0
0
2
2
2
0
0
1
25
25
16
0
0
0
0
0
8
8
0
8
16
8
8
0
1
18
1
0
0
0
8
0
0
8
0
16
0
0
8
8
8
4
0
4
0
0
0
24
0
0
8
0
16
19
19
24
0
4
36
36
36
0
8
0
0
0
16
8
0
0
0
18
0
0
0
0
0
0
8
0
0
16
2
10
8
8
0
0
0
0
0
0
0
0
8
20
0
0
0
0
2
2
0
0
0
8
0
0
25
0
1
1
4
0
0
0
0
0
0
0
0
4
8
46
46
46
0
0
0
0
9
9
9
0
0
0
32
32
16
0
0
16
0
10
0
0
0
4
4
4
16
16
16
16
0
0
0
4
0
16
2
2
0
0
0
0
2
2
16
0
0
0
0
16
8
2
0
0
0
0
8
21
8
0
0
0
0
0
0
0
8
16
16
0
0
0
0
0
8
8
16
0
2
2
8
4
0
0
0
0
8
1
1
1
1
0
16
16
1
8
16
0
12
12
0
16
8
0
0
1
0
50
0
8
16
16
0
0
0
8
24
24
24
8
0
8
0
0
0
19
2
0
0
0
0
0
4
8
16
0
8
8
8
8
0
2
0
0
8
8
0
0
0
20
8
0
24
24
8
8
8
0
40
16
16
12
0
0
0
0
0
0
0
0
0
16
8
0
0
0
0
24
0
8
16
0
2
0
12
0
0
16
0
0
16
16
0
8
32
33
33
16
16
8
0
8
8
8
0
8
8
8
8
8
8
0
0
0
24
2
2
2
1
0
8
52
52
8
0
0
0
0
0
0
0
0
0
0
0
0
4
0
8
8
0
2
2
0
16
16
0
0
0
8
0
0
0
0
0
16
0
32
32
32
32
0
0
0
0
0
0
16
0
0
4
0
22
22
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
16
16
16
8
8
8
8
8
0
8
8
8
0
16
0
0
0
4
0
0
0
1
1
0
0
32
20
16
0
0
2
8
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
16
0
0
4
0
0
0
0
0
1
1
0
0
0
0
0
0
0
4
4
17
17
0
8
0
0
0
0
0
0
0
8
0
8
0
0
8
20
20
0
8
24
0
0
0
16
16
16
0
0
0
0
0
0
0
0
0
8
0
0
20
8
0
0
0
0
0
0
8
0
16
16
0
40
0
0
0
8
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
16
4
4
0
0
0
0
8
0
0
16
0
0
16
8
0
0
0
0
0
0
8
16
1
1
16
8
16
0
0
0
0
13
0
0
1
0
0
8
0
16
16
8
8
8
1
1
26
0
0
8
0
0
8
8
0
0
24
16
16
8
0
0
8
8
1
0
0
0
4
0
0
0
8
5
5
0
16
16
0
0
0
0
0
0
0
16
16
16
41
0
0
0
0
0
0
0
0
1
1
1
0
0
0
0
0
1
1
0
8
4
0
0
0
8
0
16
2
16
0
0
0
8
0
0
0
0
0
0
0
0
0
1
8
16
0
0
16
16
16
0
0
9
8
0
0
0
0
0
8
0
0
0
0
0
4
0
2
0
8
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
8
4
16
16
16
8
0
0
0
0
0
0
2
2
0
0
0
0
0
17
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
8
8
0
16
0
8
0
0
0
8
0
0
8
8
0
0
0
4
4
0
0
0
16
8
0
0
0
0
0
0
0
0
0
1
0
8
0
1
1
4
0
0
0
0
8
14
14
16
16
16
0
0
0
16
16
0
12
12
0
0
0
0
0
0
0
0
8
0
8
8
8
0
2
0
0
0
0
8
0
0
0
0
0
0
0
0
0
12
12
0
0
0
0
0
0
0
8
0
0
8
8
8
4
0
0
0
0
0
0
36
4
0
0
0
0
20
20
8
0
0
0
0
18
16
16
16
16
0
0
0
0
8
0
4
0
0
0
0
0
0
0
0
0
8
0
2
16
16
0
0
16
0
0
0
0
0
0
49
0
4
8
8
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
0
0
24
0
0
0
8
0
0
0
0
0
8
0
0
0
0
0
4
0
0
0
2
16
0
0
0
2
0
4
8
8
8
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
4
0
0
0
0
0
0
0
0
8
0
0
16
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
2
16
0
0
0
1
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
8
8
0
0
0
0
0
0
12
0
0
0
0
8
8
0
0
0
0
0
0
0
8
0
0
0
0
10
8
0
8
8
8
0
0
0
0
0
0
0
0
0
0
8
0
0
16
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
8
8
8
0
0
0
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
4
4
4
16
0
8
0
0
0
16
0
16
0
0
0
0
0
0
0
4
0
0
0
0
0
16
0
0
9
2
2
0
8
0
0
0
8
8
8
8
8
0
0
0
0
0
0
8
0
0
0
8
8
8
0
0
0
8
0
33
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
32
0
0
0
0
0
24
24
0
0
4
4
4
0
0
0
0
8
0
16
8
8
0
0
12
26
0
0
0
1
0
8
0
0
0
0
0
0
16
0
0
0
16
0
0
0
0
0
0
0
0
0
1
0
8
8
0
4
4
0
0
0
0
0
0
0
0
0
0
0
0
36
0
0
0
8
8
8
0
0
0
8
8
8
8
0
0
0
8
8
0
0
0
0
0
0
10
0
0
0
0
8
0
0
0
0
0
0
0
16
0
0
16
12
0
0
0
0
0
0
0
0
0
16
0
0
11
0
0
0
0
0
16
16
16
16
0
0
16
0
0
0
0
28
0
0
0
0
4
0
0
0
0
0
0
16
0
2
0
0
0
0
0
0
8
0
0
0
2
2
0
8
0
4
16
8
0
0
8
0
17
0
0
0
0
24
0
0
0
8
8
0
12
20
0
0
6
0
24
0
0
0
8
0
0
8
0
0
0
0
4
8
16
8
8
16
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
4
2
0
0
0
0
8
8
0
0
4
0
0
22
0
0
0
8
6
6
8
0
0
0
0
0
24
24
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
8
8
0
0
8
8
0
0
8
0
0
0
0
0
0
0
0
0
4
4
4
0
0
0
4
35
4
4
16
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
20
20
0
4
16
0
0
0
0
8
0
0
0
0
0
0
0
0
0
8
8
0
4
0
0
0
0
0
0
12
4
0
0
0
0
0
48
24
4
0
0
0
0
0
0
0
0
16
0
8
8
0
13
0
0
0
16
0
8
28
0
16
0
16
49
0
24
0
0
0
0
16
24
0
1
0
0
12
0
0
0
0
16
0
0
2
2
0
8
8
0
0
0
0
0
0
0
0
2
0
8
0
4
4
0
0
16
0
0
0
0
0
0
4
32
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
8
8
42
42
8
0
0
0
0
0
0
0
0
8
8
8
4
2
2
0
0
0
0
0
0
0
0
0
0
0
0
16
8
8
8
0
0
0
0
0
12
8
0
1
1
12
16
0
13
0
8
8
8
24
0
0
16
0
0
0
0
0
0
0
0
0
0
8
8
8
0
8
0
8
8
8
8
0
0
4
0
0
0
0
0
0
0
0
16
8
8
0
0
28
0
0
0
0
28
28
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
12
0
0
0
0
4
8
0
0
0
0
0
0
0
0
0
0
0
0
32
32
0
0
0
0
0
0
0
0
0
0
0
0
0
0
17
1
4
8
8
0
17
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
31
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
2
0
0
0
0
32
0
8
8
0
8
8
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
8
0
0
2
2
2
0
0
0
0
0
0
2
0
16
0
0
0
0
8
0
0
26
26
0
4
0
0
0
1
0
0
8
0
0
8
0
0
0
16
4
0
0
0
0
8
0
0
0
0
8
0
1
0
0
0
0
0
0
0
4
1
1
0
0
0
0
0
0
0
0
16
0
0
0
4
4
0
0
8
0
0
0
0
0
0
0
0
16
1
0
0
0
20
16
0
0
0
0
0
0
24
0
16
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
4
4
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
17
17
0
8
0
0
6
0
0
0
0
0
0
12
12
0
0
20
0
16
16
0
0
0
8
8
0
0
0
0
4
4
0
24
24
0
4
0
0
0
0
0
16
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
16
0
0
0
0
11
8
0
0
0
0
0
16
0
0
0
8
8
0
0
0
8
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
4
28
0
0
0
0
32
32
0
0
16
16
0
1
0
0
0
0
0
0
12
12
16
0
2
0
0
0
0
0
0
4
0
0
0
0
0
33
33
33
0
0
0
4
0
0
8
0
8
8
8
0
16
0
4
0
0
24
0
8
1
0
0
0
0
0
8
8
8
0
0
4
16
8
0
0
0
0
0
0
0
0
0
0
4
8
16
0
0
0
0
0
32
16
0
6
4
56
0
0
0
8
8
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
3
0
0
0
0
2
2
0
0
8
4
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
13
0
0
0
0
8
0
16
16
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
6
0
16
8
8
0
0
0
12
0
0
16
0
0
0
0
3
4
0
4
0
0
0
0
0
0
0
8
2
2
2
0
0
16
8
0
0
0
0
0
0
0
8
0
8
0
0
0
16
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
8
8
0
0
0
0
0
0
0
0
9
0
16
0
0
0
0
16
0
0
8
8
0
4
4
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
24
8
8
0
8
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
8
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
2
0
0
8
8
0
0
0
0
0
0
0
16
0
0
0
0
8
0
0
0
0
0
0
16
16
16
0
1
24
0
0
0
0
0
16
0
0
0
0
4
0
16
0
0
0
0
16
0
0
0
0
0
0
0
0
8
8
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
17
0
0
0
0
0
0
0
8
0
0
0
0
4
7
8
0
0
0
0
1
1
1
0
0
0
8
0
8
16
0
0
0
0
8
8
4
8
0
0
0
8
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
16
0
0
0
0
8
0
16
16
0
16
16
0
0
8
8
24
24
2
0
0
16
24
2
2
0
0
0
0
0
16
16
0
0
0
16
16
16
8
0
0
0
0
0
0
0
8
0
8
0
0
0
12
0
18
0
0
16
16
0
0
0
0
0
0
0
0
32
0
16
0
0
0
0
16
16
0
0
0
0
0
16
0
0
0
0
0
0
24
0
0
0
0
0
0
0
0
8
0
0
0
8
0
0
0
0
0
0
1
0
0
16
4
16
0
16
0
0
0
24
0
16
14
14
8
8
0
0
0
0
0
0
0
0
0
0
0
16
0
1
0
8
8
8
16
16
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
8
8
0
0
8
8
18
18
1
0
0
0
0
16
16
0
16
16
0
0
18
18
0
0
8
0
0
0
0
8
8
0
0
0
0
0
0
8
8
0
0
0
8
0
0
0
0
0
0
4
0
58
0
0
0
0
0
0
17
0
8
4
4
1
0
0
16
0
0
0
8
0
0
1
0
0
0
0
0
0
0
0
0
4
0
0
0
0
8
4
4
4
4
4
4
4
0
16
2
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
1
0
8
8
0
1
16
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
25
0
0
0
0
0
8
8
2
2
34
13
8
0
0
0
4
4
0
0
2
0
0
0
16
0
8
8
0
0
1
8
0
0
0
1
1
3
16
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
2
0
0
0
0
16
16
16
12
0
0
0
0
1
0
0
0
16
0
0
0
0
0
16
0
4
4
0
0
8
33
0
0
16
16
0
4
4
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
16
16
0
24
0
0
0
0
8
0
0
16
1
1
9
32
4
0
1
1
0
0
0
16
8
0
0
0
8
0
0
8
8
0
5
16
2
8
0
0
16
0
0
0
2
8
8
0
8
0
0
0
16
0
0
0
24
24
0
0
0
0
4
0
1
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
16
0
4
8
8
8
8
0
0
0
0
0
0
0
0
16
32
32
12
0
4
4
0
0
8
0
16
0
0
0
0
0
0
0
0
0
0
8
0
0
8
0
0
0
0
0
0
16
0
0
0
0
16
0
2
0
0
0
0
0
2
0
16
4
12
0
0
0
0
0
0
0
0
0
0
0
16
0
31
0
24
24
0
16
4
8
8
4
0
16
16
14
8
0
0
0
0
12
0
0
0
0
0
8
8
8
0
0
0
0
16
20
20
6
4
4
4
4
4
4
4
4
4
4
0
0
8
0
0
4
4
4
0
0
0
0
0
0
0
16
0
8
0
24
0
2
0
0
0
12
12
0
16
24
0
0
0
0
8
0
0
0
0
16
8
0
0
1
0
0
8
0
8
0
48
0
0
0
8
0
0
8
1
16
0
4
4
1
0
8
8
8
8
0
0
0
8
2
2
8
8
0
0
2
0
0
0
0
16
1
39
8
0
8
34
0
0
16
16
16
8
0
0
0
0
16
16
8
8
16
6
0
0
0
0
0
0
0
0
0
8
8
8
0
16
16
24
0
0
0
0
1
0
24
1
0
8
0
8
8
0
8
4
4
0
0
0
61
61
61
61
61
0
0
1
1
0
0
16
8
8
4
0
0
8
0
8
2
8
8
8
8
0
0
0
0
0
0
16
0
0
2
8
2
2
1
8
0
32
33
2
2
8
8
0
0
8
4
0
16
0
0
8
8
8
0
0
9
9
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
8
16
16
4
1
1
8
0
2
0
0
0
0
0
4
0
4
4
0
0
0
8
0
0
1
0
0
0
0
18
8
8
8
8
18
0
0
0
8
0
25
1
0
0
0
16
16
16
16
0
4
4
0
0
0
0
0
0
0
0
0
24
0
0
8
0
0
0
0
0
8
8
8
8
8
16
0
0
16
0
4
0
0
48
0
0
8
24
0
8
8
8
4
0
0
24
0
8
0
0
16
0
1
0
0
0
0
0
17
17
1
1
0
0
0
8
8
0
0
0
0
0
0
0
4
0
0
10
0
0
0
0
0
0
0
0
1
8
8
8
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
8
0
4
4
0
0
1
4
0
9
4
4
8
0
4
24
16
16
16
8
24
0
16
0
0
8
2
30
2
8
0
0
0
8
0
0
0
8
0
0
0
4
4
16
8
0
0
0
22
0
0
0
16
0
0
8
0
0
0
24
0
0
4
4
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
36
16
0
1
25
0
0
1
1
1
8
8
0
41
0
0
0
0
0
8
8
0
0
16
0
8
0
0
0
0
0
4
0
8
16
0
0
0
16
2
2
0
4
0
0
8
8
0
0
0
0
0
9
0
0
0
8
0
0
0
0
0
16
8
8
0
0
1
0
32
0
0
0
0
0
0
0
8
0
8
0
0
0
0
0
0
0
16
16
0
16
8
0
0
0
0
0
0
0
0
0
28
0
2
0
0
0
0
8
0
0
3
0
16
0
0
0
0
0
8
8
8
0
0
0
0
1
8
8
8
8
8
16
0
8
8
0
8
8
8
8
8
8
8
0
0
0
0
8
33
0
0
0
0
0
8
8
8
8
0
0
8
8
0
0
0
16
24
0
0
2
0
0
0
8
9
0
4
0
0
16
8
0
8
16
8
0
0
32
0
0
0
0
0
0
0
15
0
0
0
0
0
0
0
0
0
0
19
0
0
0
0
0
0
0
0
24
24
0
0
0
24
0
0
0
0
0
0
0
4
0
16
0
4
0
0
0
0
0
0
0
4
8
0
0
16
30
0
0
0
0
0
0
0
0
8
0
0
4
0
0
1
0
6
0
0
8
24
24
0
0
0
0
0
0
0
16
0
1
0
0
9
0
16
0
0
0
0
0
8
8
8
8
0
37
0
16
16
16
16
16
16
8
4
0
1
0
0
0
0
24
24
24
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
2
2
26
26
2
2
16
0
0
0
0
8
8
8
0
0
8
16
2
0
0
0
8
16
0
8
0
0
0
0
1
1
0
16
16
0
0
16
0
0
8
0
24
24
0
8
7
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
2
0
0
0
0
48
0
16
16
16
0
0
0
0
8
8
0
4
10
0
0
4
4
4
4
4
4
0
0
0
0
0
0
0
0
16
28
0
58
0
0
16
0
1
1
26
0
0
0
0
8
0
8
24
2
4
0
1
8
0
0
0
0
4
4
4
0
1
0
0
0
0
8
0
8
0
8
8
0
0
0
8
8
16
0
0
16
0
16
16
5
0
0
16
16
0
0
0
0
4
8
8
0
4
0
0
0
0
0
24
0
0
0
8
8
0
0
16
16
16
16
16
0
0
0
8
0
0
24
24
4
0
0
24
16
1
20
0
4
4
0
0
8
42
0
0
0
0
0
8
0
0
8
0
0
0
0
8
0
4
0
0
8
0
4
2
0
0
16
0
0
0
0
0
0
16
0
8
49
0
0
8
8
0
8
8
0
6
5
5
8
0
0
0
0
0
8
1
0
16
16
0
0
0
0
0
0
4
6
8
4
4
0
0
0
8
0
0
0
0
0
8
8
0
0
0
16
0
0
32
16
0
0
24
2
0
16
16
8
8
8
0
0
0
24
24
9
8
32
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
1
1
0
8
8
8
0
8
8
0
0
0
2
0
28
28
0
16
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
8
4
0
0
0
0
0
16
16
0
0
18
18
0
4
0
0
0
0
0
22
22
8
8
16
1
20
24
24
0
0
16
16
8
0
0
0
0
0
8
0
0
0
8
16
0
0
26
26
0
0
0
0
16
0
8
0
0
8
0
8
8
0
20
16
0
0
25
0
8
4
0
0
14
14
14
0
0
0
8
0
0
0
0
0
8
8
8
8
0
8
6
0
0
0
0
2
2
2
0
0
0
0
0
0
17
0
0
0
1
0
0
0
0
0
0
0
0
16
32
0
0
0
0
0
0
1
16
0
0
0
0
0
0
8
0
0
0
0
0
0
0
16
0
8
0
0
0
3
0
0
0
8
5
8
0
0
0
0
8
0
0
0
0
0
16
0
8
0
0
8
18
18
0
1
1
2
8
0
8
8
16
9
9
9
0
0
8
0
0
2
24
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
1
1
32
0
0
0
8
2
4
0
0
20
8
8
0
0
16
16
16
0
8
8
6
0
0
16
0
0
0
0
0
24
24
16
16
0
0
0
0
0
0
0
0
8
8
8
16
0
0
8
0
0
0
0
0
0
0
8
8
8
8
4
0
0
1
16
0
0
0
2
2
0
0
8
8
0
0
0
0
16
0
16
0
16
16
0
0
0
0
1
1
0
0
8
16
0
0
0
0
24
16
9
0
0
2
0
0
0
0
16
2
16
24
0
0
0
0
0
0
8
0
16
8
0
0
4
16
8
8
0
0
2
0
0
8
8
8
8
0
0
0
0
0
2
16
0
2
8
8
8
8
8
8
0
32
0
0
0
0
1
4
8
1
1
18
2
2
0
1
41
41
0
0
0
0
8
0
0
0
0
0
0
0
0
8
0
8
8
24
24
0
0
8
16
0
0
24
1
30
0
0
8
20
0
8
8
4
0
0
24
24
2
52
2
0
0
0
0
8
8
8
0
0
0
2
0
0
16
0
0
8
0
0
16
8
12
16
0
0
0
0
0
0
0
0
4
4
4
0
0
8
0
8
0
0
8
1
16
16
16
16
2
2
0
0
0
8
0
23
1
0
8
0
0
0
0
9
0
0
8
8
16
20
0
16
0
0
0
4
4
4
49
49
0
0
0
0
0
16
0
0
8
24
8
8
0
0
0
8
16
16
16
0
2
2
4
0
0
32
32
0
16
0
0
2
32
12
8
8
8
0
8
8
0
8
0
0
0
0
0
0
20
20
8
0
0
0
0
0
0
0
8
16
16
0
0
0
0
28
0
0
8
8
0
12
0
1
8
0
0
0
4
8
8
0
0
24
24
24
0
0
0
2
0
0
0
0
0
8
1
0
0
0
0
0
0
16
16
28
1
2
1
0
16
8
8
0
8
8
8
4
4
4
0
0
1
0
8
16
0
0
0
0
0
0
0
8
29
29
29
29
29
29
29
29
29
29
29
29
0
28
0
0
0
8
0
0
0
25
25
0
0
0
0
0
0
1
0
1
1
1
0
18
16
0
0
16
0
0
4
4
0
0
0
0
0
8
0
0
0
8
0
16
16
0
0
0
8
8
16
16
16
16
0
8
0
0
2
2
0
4
0
8
0
0
0
16
0
0
16
0
0
4
2
2
17
17
0
8
8
8
8
8
8
8
0
8
0
0
0
0
16
0
0
0
0
33
33
4
0
0
0
0
0
0
0
0
8
8
0
0
0
0
1
1
0
0
4
4
0
4
0
0
18
4
16
0
0
0
0
0
0
0
0
0
0
8
0
17
0
16
16
0
0
0
0
2
0
0
8
0
0
0
0
0
0
0
0
0
16
16
16
16
18
0
8
8
0
0
8
57
0
0
1
0
0
0
0
0
0
0
0
8
0
8
0
20
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
10
0
4
0
0
0
0
0
2
16
0
0
0
0
0
0
0
0
0
12
0
0
16
0
0
0
17
17
0
8
0
16
16
5
32
32
0
0
4
0
0
0
0
0
0
0
0
0
6
6
6
0
32
0
0
0
0
0
8
0
0
16
0
1
0
0
0
0
0
8
2
0
0
0
0
0
0
0
0
0
0
4
16
16
0
8
0
0
4
24
24
0
16
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
16
0
0
1
0
0
2
0
0
0
0
20
4
0
0
0
0
0
0
0
12
0
0
0
8
0
0
0
2
8
0
0
8
8
0
0
4
0
0
8
0
0
0
0
0
2
16
0
0
8
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
16
0
16
0
0
0
8
8
4
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
16
16
0
0
1
0
0
0
8
8
0
0
0
0
0
8
0
0
0
0
8
0
0
0
0
16
8
8
16
7
8
8
8
8
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
8
2
4
0
1
0
0
0
0
0
0
14
0
0
0
0
8
0
0
1
1
0
0
0
0
0
0
0
0
0
22
22
22
22
22
0
6
6
0
0
0
0
0
0
0
0
0
0
8
0
0
0
3
0
16
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
4
8
0
8
0
5
0
0
0
0
0
32
32
16
0
8
0
0
0
0
16
16
2
0
0
0
1
1
0
0
8
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
4
4
0
0
8
0
0
4
0
0
16
16
16
16
16
0
0
0
0
0
0
8
8
0
0
0
0
0
0
16
0
0
0
8
0
16
0
8
0
0
0
0
0
0
0
0
2
0
0
0
16
16
0
0
0
0
8
0
0
16
0
0
16
1
8
0
0
0
4
4
4
4
4
0
0
24
0
0
1
0
0
0
0
0
16
16
16
16
16
16
16
16
16
16
0
0
0
0
0
0
50
18
0
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
20
8
8
8
8
4
0
0
0
0
16
16
16
16
16
16
16
16
20
8
4
0
8
0
0
0
0
0
8
8
8
8
8
8
0
0
0
0
0
2
2
0
0
0
0
0
2
0
0
0
0
1
0
8
16
0
0
0
8
16
0
0
0
0
8
0
0
0
0
0
0
8
0
0
4
0
0
0
0
2
0
0
8
0
0
0
0
0
0
0
0
8
8
8
8
8
0
0
16
0
0
0
1
0
0
0
8
0
7
0
0
0
8
0
0
0
0
24
9
0
0
0
4
0
48
16
0
0
0
0
0
1
0
16
16
0
0
0
16
0
16
0
0
1
24
24
0
8
8
0
0
0
0
0
16
0
8
8
8
0
0
0
0
4
0
0
0
0
0
0
0
2
2
0
2
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
4
22
0
0
0
0
0
0
0
0
0
0
0
2
32
4
0
0
0
0
0
14
0
8
0
8
8
0
8
8
8
1
0
0
0
16
0
0
0
1
0
16
0
0
8
0
0
0
9
9
0
0
0
0
0
16
16
0
0
8
8
0
6
0
0
0
0
0
21
0
0
0
0
0
4
0
0
8
0
0
0
0
0
0
0
0
0
12
12
0
0
0
8
16
0
0
8
0
0
0
0
2
0
0
0
24
0
4
0
0
0
0
0
0
18
0
0
0
0
0
27
8
8
8
2
8
8
8
16
16
0
5
4
0
9
0
0
0
0
32
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
16
0
0
8
0
0
8
0
0
0
0
0
8
0
0
16
0
0
0
0
1
1
0
2
30
30
0
0
0
1
0
0
2
16
16
0
2
0
0
8
8
8
8
8
0
4
4
0
0
0
0
0
0
0
0
0
0
8
0
2
2
0
0
0
0
0
0
0
0
0
0
16
20
0
0
0
16
16
16
0
0
0
0
0
0
0
0
0
0
0
2
2
0
0
1
1
16
0
4
0
8
0
0
0
0
0
8
0
0
0
0
0
0
0
16
16
8
8
4
0
4
0
32
0
0
0
9
0
0
0
0
0
0
0
0
2
2
0
0
0
0
0
8
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
16
8
8
8
0
0
0
0
0
16
0
8
32
1
0
0
0
0
0
0
0
0
0
8
8
8
8
0
0
16
4
0
0
0
0
0
0
0
0
0
0
0
8
0
17
17
0
0
2
16
0
8
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
32
32
8
23
8
8
0
0
20
0
0
0
0
16
16
16
0
0
0
0
0
0
0
2
8
8
2
2
0
24
0
0
0
0
0
0
0
8
0
0
0
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
4
0
0
0
0
0
1
16
0
0
0
0
8
0
0
0
16
8
0
0
0
0
0
0
8
0
0
8
0
0
0
0
24
16
0
0
16
0
0
0
0
24
24
0
0
0
0
8
0
0
0
0
0
0
0
4
0
0
0
0
4
9
8
8
0
1
1
0
0
0
8
6
8
0
12
8
8
8
0
0
0
0
0
0
0
20
8
8
8
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
8
0
4
0
0
12
8
0
0
0
0
0
0
0
0
0
0
8
0
0
2
2
16
16
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
16
8
0
0
2
0
0
0
0
0
0
0
0
8
0
0
0
2
0
0
0
0
0
0
0
0
32
24
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
16
16
0
0
8
8
8
0
8
8
8
8
8
8
0
18
0
16
4
0
0
16
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
8
8
19
0
0
0
0
16
4
0
0
0
11
8
0
9
16
0
16
4
4
8
4
8
16
0
0
0
0
8
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
1
8
2
0
18
0
2
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
8
0
0
0
0
0
0
2
0
0
0
0
16
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
20
4
0
16
16
16
16
8
0
0
2
0
0
0
0
8
8
4
0
0
0
0
0
0
16
9
0
0
0
0
0
0
0
0
16
16
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
8
0
2
0
0
0
0
0
0
0
0
16
4
16
0
24
0
0
26
26
8
0
0
0
0
0
0
0
8
0
8
8
0
0
6
0
0
0
0
0
0
8
0
8
8
32
0
0
0
0
0
8
0
0
0
16
16
16
0
0
8
8
12
0
0
8
0
0
0
7
0
0
0
0
0
0
0
0
0
2
2
0
0
4
0
16
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
4
0
8
0
8
17
0
0
0
0
0
4
4
16
0
0
0
0
0
8
0
0
0
0
2
24
32
0
8
0
8
8
8
0
0
0
0
0
8
8
8
8
8
0
0
0
0
16
16
16
22
22
0
8
8
8
3
0
0
0
8
0
0
0
24
8
19
0
8
0
0
0
17
0
0
0
0
0
0
4
0
0
0
24
0
4
0
0
0
8
0
0
0
8
8
8
0
0
0
0
4
0
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
12
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
8
8
0
0
0
0
0
0
0
20
0
34
0
0
0
0
0
0
0
8
0
16
16
0
0
0
0
16
16
0
0
0
0
16
16
0
0
0
9
9
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
13
0
0
0
0
0
4
4
0
16
4
4
4
0
0
0
0
1
1
1
1
0
0
0
0
0
16
16
0
0
0
0
32
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
1
2
0
0
0
0
0
0
0
1
8
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
6
6
6
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
16
0
0
0
12
12
8
0
0
0
24
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
24
24
0
0
0
0
0
0
0
8
24
0
0
0
0
1
1
0
0
4
4
0
0
0
16
16
0
8
0
0
0
0
0
0
0
0
0
32
32
0
0
4
0
0
8
8
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
20
0
0
0
0
0
6
16
16
16
0
0
0
0
0
0
0
4
0
0
4
8
16
0
8
0
0
8
16
0
0
0
0
0
1
0
17
0
16
0
0
0
0
0
0
0
0
0
0
0
8
0
0
8
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
17
0
0
0
8
9
0
0
18
34
16
0
0
0
0
0
0
0
0
0
0
0
8
0
0
16
16
0
0
0
2
16
0
0
0
20
20
0
4
0
16
16
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
2
0
0
8
0
0
0
0
0
0
0
0
20
8
8
8
8
8
8
8
8
8
8
8
0
0
0
16
25
0
0
0
4
4
16
0
0
0
8
0
0
0
0
18
0
1
0
8
0
0
0
0
16
16
16
8
0
0
0
6
0
8
8
8
1
1
0
2
2
8
0
0
4
0
8
8
12
0
0
0
0
0
0
8
0
0
0
0
0
4
0
0
0
0
0
0
8
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
4
0
0
16
16
0
0
34
0
0
4
0
0
0
0
20
0
3
3
0
0
0
0
0
8
8
0
0
0
8
8
0
0
0
0
0
0
8
0
0
16
16
16
0
0
0
0
16
0
0
0
0
0
20
20
0
0
0
0
8
0
0
0
4
0
0
0
8
8
0
0
0
0
16
0
0
8
0
8
0
0
16
0
2
0
0
0
0
0
8
8
0
0
24
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
4
0
0
4
24
16
11
0
0
0
0
0
0
0
0
8
0
0
0
0
11
8
0
0
0
0
0
0
0
0
8
0
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
16
0
0
8
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
4
0
12
0
0
8
0
0
9
8
8
0
0
0
0
0
8
8
2
0
0
14
14
0
0
8
8
0
16
16
0
0
6
0
0
2
0
20
16
0
0
0
0
0
0
0
0
0
0
0
0
24
0
0
0
10
10
0
0
0
0
0
0
0
4
12
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
1
0
0
0
0
0
0
8
0
0
0
0
23
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
4
4
0
0
0
14
14
0
2
2
2
0
0
0
8
16
0
0
0
0
0
0
0
32
32
0
0
0
4
16
8
8
4
0
2
0
8
8
0
49
0
8
0
8
0
0
2
8
0
0
16
18
0
0
0
4
0
0
0
1
1
1
1
32
4
20
0
16
16
4
8
0
0
0
8
0
0
0
0
0
0
0
16
0
0
41
8
0
0
0
32
32
32
32
0
0
1
8
4
0
0
0
0
0
0
0
0
0
0
0
3
0
0
0
0
0
8
0
0
0
0
0
0
16
0
4
0
8
0
0
1
0
0
8
8
0
0
0
0
4
8
0
24
24
20
0
0
0
0
0
24
0
16
0
1
0
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
8
0
0
0
0
2
8
0
0
0
0
8
0
0
0
0
0
29
29
29
29
29
29
0
0
0
4
8
2
0
8
8
0
0
0
13
0
8
8
0
0
0
8
0
1
4
4
4
4
0
0
0
0
0
16
8
0
0
0
0
1
8
8
8
8
0
8
0
0
2
2
0
16
8
8
0
0
0
16
8
0
0
0
0
18
24
0
2
16
39
0
8
8
0
8
0
8
8
0
0
0
0
0
0
0
0
0
0
24
6
0
0
0
0
2
2
0
0
8
0
0
0
0
0
0
0
0
8
0
6
6
0
0
8
0
0
0
0
0
0
0
4
0
0
4
0
0
0
0
0
0
0
8
0
0
1
0
0
0
0
8
16
24
24
0
0
0
0
0
0
0
0
16
8
0
0
4
0
0
0
0
16
0
0
0
0
8
0
8
4
0
0
0
0
0
0
0
24
4
0
16
8
0
0
0
0
0
0
0
8
8
0
0
8
8
16
0
0
0
24
1
0
0
0
0
0
0
0
0
8
0
0
0
0
32
4
12
0
0
0
0
0
8
16
16
16
16
0
0
0
0
0
0
1
2
2
2
16
16
0
0
0
16
0
0
0
0
4
4
0
1
1
0
8
8
8
0
16
8
0
2
0
8
12
4
4
7
16
0
0
0
16
0
8
0
0
0
8
32
0
8
8
8
1
3
0
0
0
0
0
0
0
0
0
16
0
0
16
0
0
0
0
0
8
0
0
0
0
16
16
16
18
0
8
8
0
0
10
0
8
24
0
0
0
1
24
0
8
8
8
8
0
8
34
0
4
8
8
8
0
0
0
0
8
0
0
0
16
0
0
0
0
0
0
16
8
0
0
16
16
0
0
0
0
0
8
0
0
0
0
0
0
0
0
16
16
0
8
0
0
8
8
0
8
8
8
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
32
8
0
0
0
8
8
0
0
0
0
0
0
0
0
32
0
0
24
18
8
0
17
0
0
0
0
16
34
0
4
0
0
12
12
12
12
8
0
0
0
0
0
0
0
0
0
0
8
18
0
16
2
0
0
20
0
0
18
0
0
4
20
20
0
0
13
10
0
0
8
0
0
0
0
0
0
8
16
16
0
1
0
0
0
0
0
0
0
0
8
0
0
0
1
16
16
20
0
48
0
0
0
1
16
0
8
0
0
16
16
0
0
8
1
0
8
1
1
0
0
0
8
2
2
2
2
8
2
0
0
0
0
0
0
0
0
0
32
16
16
8
0
1
0
0
8
16
16
0
0
0
0
16
24
0
0
16
34
4
0
0
0
0
24
8
0
0
16
16
4
4
4
8
0
0
8
0
4
0
24
0
16
0
0
0
0
2
2
0
0
0
4
0
0
0
8
0
4
4
4
4
4
0
20
20
4
4
4
0
0
0
0
16
16
4
0
0
8
8
0
8
8
8
2
0
0
8
0
8
0
16
0
0
0
0
1
24
0
0
0
0
0
0
0
4
0
16
1
1
16
0
8
4
8
0
2
2
16
24
8
8
8
16
0
0
0
8
4
0
0
0
8
0
8
8
0
0
4
0
0
0
0
12
16
0
0
0
0
0
0
8
8
0
0
0
0
0
16
8
0
20
0
0
16
0
0
0
16
8
0
0
0
0
16
8
8
8
0
0
0
0
0
0
50
0
0
4
0
0
8
8
0
8
8
8
0
0
0
16
16
16
16
8
0
49
0
0
0
16
16
1
0
8
4
4
4
0
1
1
1
0
0
0
0
32
0
2
0
0
16
2
0
0
0
0
4
0
0
16
16
0
0
0
0
0
8
24
0
0
0
0
0
0
0
8
8
0
0
8
25
25
25
25
0
0
12
8
0
2
0
16
10
0
0
0
0
0
0
0
4
8
0
0
0
0
1
1
1
0
0
16
16
9
0
8
0
0
4
4
4
0
0
0
2
2
0
0
0
0
0
0
0
16
16
1
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
0
0
0
0
0
0
0
2
0
0
0
16
0
4
16
16
8
2
16
0
0
52
0
4
0
1
0
0
0
0
0
0
0
0
8
8
0
0
8
8
16
8
4
8
0
0
8
4
1
8
8
8
8
0
0
0
8
0
0
0
0
6
12
12
8
0
0
40
0
8
8
0
0
8
0
0
0
0
0
8
0
0
4
0
0
0
0
0
0
0
0
0
2
8
8
8
0
16
16
0
0
0
18
4
0
0
0
8
8
2
0
0
0
0
0
0
8
8
32
0
8
0
0
0
0
0
8
8
1
4
0
0
0
2
8
8
0
0
0
0
0
0
0
34
34
0
0
16
0
24
24
8
8
0
8
0
24
2
2
8
0
0
0
16
24
8
2
2
2
8
1
0
0
0
0
0
0
0
0
0
0
36
16
0
4
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
8
16
1
1
26
26
26
0
0
0
0
0
0
18
18
18
18
8
0
0
2
16
4
4
0
16
16
20
0
0
0
0
0
0
20
0
0
8
8
8
8
8
8
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
24
24
4
0
16
16
8
0
0
0
0
16
16
18
8
16
0
0
0
4
4
8
0
0
8
8
0
0
0
0
1
32
16
20
0
0
0
0
0
24
1
1
1
0
0
16
0
0
8
0
18
7
0
16
0
0
0
4
4
16
16
0
4
0
16
0
0
2
0
8
0
0
0
8
4
0
2
0
0
8
24
0
0
0
0
0
0
1
1
8
8
0
8
20
20
20
20
20
20
20
8
0
0
2
0
1
0
0
1
0
16
9
9
9
0
8
0
4
0
16
0
0
0
8
8
2
0
8
8
0
16
4
0
0
0
0
0
8
24
0
0
0
0
0
0
0
1
0
16
0
16
0
0
0
0
0
0
0
0
0
8
8
4
0
0
0
0
0
1
8
0
0
8
8
0
0
4
4
4
0
0
0
0
0
0
16
0
2
0
0
0
0
0
0
0
0
8
8
8
8
8
0
0
16
0
18
0
0
0
1
0
0
0
0
0
0
2
16
1
0
2
0
16
0
20
0
0
0
8
0
8
0
4
0
8
0
0
0
0
16
24
0
0
8
9
0
0
0
16
16
18
16
0
0
0
0
2
0
0
0
8
1
0
0
8
0
0
16
16
8
8
8
0
29
29
8
8
0
0
0
0
0
8
12
0
0
0
0
0
4
8
8
0
0
0
0
0
16
16
16
16
0
8
0
0
8
8
0
0
16
1
16
0
0
1
2
8
0
0
0
0
16
16
9
0
8
8
24
0
16
16
0
0
8
8
0
0
0
0
0
8
0
0
8
0
0
0
0
25
0
0
0
24
8
0
8
0
0
0
4
4
8
16
0
0
0
0
0
0
0
0
24
0
0
0
0
0
8
0
0
8
20
0
0
0
0
0
0
0
0
8
0
0
0
0
16
16
16
0
1
0
0
0
8
0
0
0
0
0
8
8
8
0
4
0
6
8
5
0
0
4
0
0
0
2
0
25
0
8
8
0
0
0
8
8
0
4
0
0
0
16
16
16
0
0
16
2
0
0
0
32
32
0
0
8
8
8
16
0
0
0
16
8
0
2
0
0
0
0
0
8
20
0
0
4
0
32
0
0
0
8
8
23
4
0
0
0
16
0
0
4
16
8
8
8
0
0
0
0
0
0
0
0
0
6
2
0
8
32
8
1
2
8
0
1
0
32
0
1
1
0
0
0
0
0
8
0
8
8
0
0
0
0
0
0
0
0
0
8
8
8
0
0
1
1
48
48
16
8
8
8
0
4
0
0
16
1
1
0
0
0
0
32
8
24
1
0
0
0
0
8
0
0
16
0
0
16
0
0
4
0
8
8
0
8
8
8
0
16
16
5
0
25
16
16
0
0
0
0
0
0
0
0
8
0
8
8
0
4
4
0
16
0
0
8
0
0
16
0
4
0
16
8
0
4
21
0
0
8
0
0
0
16
0
0
0
0
0
0
0
8
0
17
0
0
24
24
0
0
0
0
0
8
0
0
0
24
0
0
0
0
0
9
16
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
8
0
0
0
0
8
0
0
0
0
0
0
0
8
0
16
8
20
20
0
0
8
0
0
8
8
0
0
0
0
0
0
0
0
16
21
16
16
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
16
8
0
0
0
0
0
8
0
0
0
1
0
0
0
0
0
0
0
8
0
0
0
0
16
0
0
0
16
0
0
0
0
16
0
0
0
0
0
8
0
0
8
4
6
4
0
0
8
0
1
0
0
0
0
8
0
0
16
0
0
0
0
0
0
8
0
0
4
2
2
0
0
0
0
0
4
4
4
4
4
0
16
16
16
0
8
0
1
12
0
0
0
6
0
0
0
0
0
0
0
0
20
0
0
0
4
4
16
2
0
0
0
0
0
4
0
0
0
0
0
0
0
0
8
8
0
0
4
4
0
2
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
3
3
8
0
0
0
0
0
1
1
0
0
0
16
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
16
0
0
0
0
12
0
0
0
0
0
0
4
48
16
0
6
6
6
0
0
0
0
0
16
0
16
0
0
0
1
1
0
0
0
4
16
0
2
0
16
16
16
0
0
0
0
0
0
8
0
0
0
0
0
0
1
0
0
0
0
0
0
0
16
0
8
8
16
2
5
5
5
0
0
0
0
16
0
0
0
0
0
0
0
0
0
2
4
0
0
0
0
0
0
0
16
16
16
0
8
0
25
0
0
4
12
0
0
0
0
16
0
0
0
0
8
0
0
0
16
0
0
0
0
0
0
0
0
16
0
28
0
0
0
0
0
0
0
0
0
0
25
0
0
0
2
2
49
49
0
16
0
0
0
0
0
0
1
1
0
8
8
8
0
0
0
0
0
3
0
0
16
0
16
16
16
0
0
2
0
0
0
0
8
0
0
0
0
0
2
0
0
0
0
0
0
12
0
16
0
0
16
16
0
0
0
0
0
0
0
1
1
20
0
0
0
10
10
0
0
0
0
20
8
8
8
0
8
0
2
0
0
0
0
0
0
20
0
0
1
1
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
30
28
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
12
0
8
0
8
0
0
31
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
24
3
1
1
4
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
16
16
16
0
4
0
4
16
8
0
0
0
8
0
0
0
0
0
8
8
0
8
8
0
16
0
0
0
8
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
24
24
0
0
0
0
0
0
4
4
0
0
0
0
0
0
0
16
0
8
8
0
0
0
0
0
0
0
0
0
8
0
0
0
8
0
0
16
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
41
8
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
32
32
32
32
32
18
16
0
0
0
0
0
0
0
0
0
0
0
8
0
0
8
8
0
0
0
0
0
0
0
0
10
0
0
0
4
0
0
0
0
0
0
0
8
0
16
0
0
50
0
0
0
0
0
16
0
0
0
0
0
16
16
8
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
16
16
18
18
8
0
0
0
0
1
0
0
0
0
0
16
8
0
8
8
0
0
0
0
4
0
0
16
0
0
4
0
0
0
0
0
0
10
4
0
0
24
18
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
2
0
4
4
0
0
4
4
0
8
0
0
0
0
0
0
0
8
0
16
16
16
0
2
0
0
0
0
0
0
8
8
0
0
4
16
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
16
0
12
0
0
8
0
8
0
0
8
17
17
0
18
18
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
8
0
16
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
16
0
0
24
16
16
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
8
8
8
8
4
8
32
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
8
8
0
0
0
0
2
2
2
2
2
0
0
16
16
16
8
0
0
4
0
0
0
0
0
17
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
4
0
8
0
0
0
0
0
0
0
0
0
4
20
20
0
0
0
0
0
16
0
6
6
0
0
0
0
16
16
16
0
16
0
2
1
1
0
0
0
0
8
0
0
2
16
0
0
0
16
0
1
1
0
0
0
9
0
0
0
0
0
1
0
0
8
8
0
0
0
12
12
4
0
0
0
8
0
0
0
0
0
0
4
0
0
0
0
8
0
0
48
20
0
0
0
0
0
16
0
4
0
0
0
8
1
8
0
8
0
0
4
0
16
0
0
0
1
0
0
0
0
26
8
0
0
0
0
0
0
0
34
34
12
4
8
16
0
16
0
0
8
8
0
0
0
0
0
1
2
2
2
0
0
0
0
0
0
0
1
0
0
0
0
0
4
16
0
0
0
0
0
0
0
0
8
0
0
0
0
0
16
16
16
16
16
8
0
22
8
0
0
0
25
0
0
0
0
0
0
4
0
0
0
0
8
0
0
16
0
0
8
0
0
0
0
16
0
0
0
0
4
4
16
16
16
0
0
0
8
16
1
1
0
6
0
0
8
0
0
0
9
0
0
25
0
0
0
0
8
4
0
0
0
0
0
0
8
33
4
0
0
0
0
0
0
0
0
0
0
0
0
16
16
8
0
16
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
16
8
0
8
0
0
0
0
0
0
0
8
0
0
4
12
1
4
0
0
16
8
8
16
0
8
0
0
0
0
0
0
0
0
0
3
3
3
0
0
0
0
0
1
16
0
33
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
16
16
8
0
0
0
16
0
0
16
0
0
18
22
0
8
0
0
1
0
0
0
0
16
0
0
0
0
16
0
0
0
0
0
0
8
0
0
0
0
0
2
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
17
17
0
0
0
0
19
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
8
8
0
0
0
0
0
0
20
0
8
0
0
0
0
8
0
0
0
0
2
2
8
0
0
0
0
0
0
1
1
8
0
0
0
0
0
0
0
0
0
4
4
0
8
8
0
0
8
0
16
0
8
8
0
0
0
0
0
0
0
0
0
4
4
4
4
0
0
0
0
0
0
0
1
6
6
6
0
9
0
0
0
0
0
20
0
0
0
0
0
0
0
0
0
0
48
40
0
0
0
16
0
0
0
0
0
0
0
8
8
0
0
0
0
24
24
0
0
0
0
0
0
40
0
0
0
0
0
2
2
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
4
0
16
16
0
0
0
25
25
0
8
0
0
0
0
0
0
0
16
2
0
0
0
8
8
0
16
16
5
0
0
8
0
0
0
0
4
16
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
23
7
16
2
0
0
4
0
16
0
0
0
0
0
0
4
4
4
0
0
0
4
0
0
0
0
0
0
0
0
2
0
44
0
0
0
0
0
8
0
17
0
0
0
0
16
16
19
19
19
0
0
0
0
8
2
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
2
0
0
0
2
0
0
0
0
0
0
0
16
0
25
0
16
16
0
0
0
2
0
0
0
0
0
0
0
0
0
18
18
18
0
0
0
4
0
24
8
0
0
0
0
2
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
16
0
0
0
0
0
17
0
20
0
8
16
0
0
0
0
2
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
18
0
0
8
8
8
0
0
0
8
8
0
0
0
0
0
8
0
0
0
0
2
0
16
24
16
0
0
0
0
0
0
16
8
0
0
0
1
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
4
0
0
16
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
4
0
4
8
0
0
0
8
16
32
20
0
0
0
0
8
0
24
24
24
0
0
0
13
13
2
0
16
16
4
0
0
8
8
8
0
0
18
0
24
16
0
0
0
0
0
8
8
0
0
0
0
4
16
16
0
8
8
2
0
24
0
0
0
8
8
0
0
16
0
20
20
20
0
0
0
0
0
0
0
0
0
0
0
0
0
24
0
16
8
8
0
0
0
0
4
8
0
0
0
4
32
16
0
0
0
8
8
0
0
0
0
0
0
4
0
0
0
0
0
0
40
0
8
0
3
3
16
0
0
0
0
0
17
0
0
0
0
0
0
0
0
0
8
0
1
4
3
0
0
16
16
16
0
0
16
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
1
1
20
8
4
4
4
4
16
0
0
0
0
4
16
0
0
0
0
0
0
0
16
0
0
0
20
0
0
4
4
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
9
0
0
0
0
16
0
0
0
20
20
0
0
0
0
0
0
0
0
0
16
0
0
16
16
16
0
0
0
0
0
0
0
0
0
0
0
16
16
16
16
0
0
0
16
0
0
0
2
0
0
16
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
4
4
24
8
8
0
0
0
0
2
24
0
0
0
8
1
0
0
0
0
0
0
0
0
0
38
16
16
0
0
0
4
0
16
0
0
0
0
4
2
0
0
0
0
0
0
0
0
0
0
2
2
2
0
8
8
8
8
8
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
18
0
0
0
17
0
0
0
0
0
16
0
0
4
0
0
0
0
8
8
16
0
16
16
16
0
0
16
8
0
0
8
8
0
0
0
0
0
0
0
0
0
24
0
4
16
0
28
0
0
0
8
8
8
29
16
16
16
0
0
2
8
0
0
0
0
0
0
0
4
0
0
0
0
1
0
0
12
12
0
0
0
0
0
9
0
0
32
0
0
0
0
0
0
0
0
0
8
0
0
0
42
0
16
0
0
0
0
0
0
4
4
20
8
0
0
0
0
8
16
0
0
16
24
0
8
8
8
0
0
0
0
10
16
16
16
0
22
0
0
0
0
8
8
0
0
0
16
16
0
16
8
0
0
16
0
8
3
16
16
46
0
0
8
8
0
0
0
0
0
0
16
16
0
0
0
1
1
16
16
0
8
0
8
4
0
0
8
0
0
0
8
16
0
8
16
16
16
22
22
22
0
16
0
0
24
0
2
0
0
0
0
2
0
0
8
0
0
56
20
32
0
0
8
14
0
8
4
0
0
8
2
0
8
8
8
8
8
0
0
0
8
0
8
0
0
0
0
0
8
2
0
8
0
8
0
48
0
0
0
4
4
0
0
0
0
0
0
0
0
8
0
33
4
0
0
0
8
0
0
0
0
0
4
8
0
16
0
0
0
0
16
16
16
0
4
8
0
0
0
0
0
0
0
24
3
0
0
16
17
0
0
57
0
8
8
0
0
0
0
22
22
22
22
22
18
18
18
18
18
18
8
8
8
0
0
0
0
0
4
25
8
8
8
8
24
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
0
0
8
25
25
16
0
0
0
8
16
16
8
0
16
16
8
8
8
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
4
4
4
2
0
16
16
1
16
16
0
0
0
8
8
0
0
2
4
0
0
0
1
1
0
0
0
0
8
8
0
0
8
1
0
0
0
0
8
8
8
4
0
20
16
16
4
0
0
0
48
0
44
0
16
8
8
0
4
18
8
16
16
16
0
0
1
16
8
8
0
16
8
0
0
8
0
0
0
0
20
8
8
0
0
4
8
8
8
8
8
0
16
16
16
16
16
0
0
0
0
0
0
8
0
0
0
25
16
16
0
8
0
0
16
1
1
1
4
16
2
0
0
8
4
0
0
0
1
0
0
0
1
0
20
32
0
0
0
0
0
8
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
6
6
0
1
1
0
40
0
17
16
16
0
8
4
0
8
0
0
8
0
2
16
0
0
1
0
8
8
8
0
0
11
8
8
8
8
0
0
0
0
0
0
0
0
0
0
8
8
6
6
8
0
8
4
0
16
8
0
0
0
0
0
16
0
0
0
0
4
2
2
0
0
0
0
0
0
8
0
0
16
0
0
0
0
20
0
0
32
32
17
17
17
0
0
8
16
4
8
0
0
0
0
0
14
0
0
0
0
0
0
0
0
0
60
24
8
0
0
0
20
0
0
48
0
0
0
4
9
0
8
0
0
8
0
0
24
0
0
16
0
17
16
0
0
0
0
0
16
0
0
1
8
0
8
4
8
8
0
0
0
0
4
0
0
16
16
8
0
20
0
0
0
0
0
0
0
4
0
8
0
8
0
0
8
16
16
8
0
0
16
0
18
0
4
0
0
0
0
1
0
0
0
32
0
0
0
0
0
16
0
0
0
8
8
4
2
1
16
16
0
0
0
0
0
0
0
0
0
0
16
16
0
1
0
8
0
16
0
0
0
0
16
0
0
0
0
2
0
0
8
0
0
2
2
2
0
0
0
0
4
4
8
1
0
2
0
0
2
2
0
4
42
16
0
0
0
0
0
0
4
8
0
0
0
0
0
0
0
16
17
0
9
16
0
0
16
0
8
8
0
0
0
0
0
0
0
0
16
0
8
8
8
8
0
4
0
8
24
0
16
0
11
0
0
8
0
0
16
16
16
16
25
0
0
16
0
0
0
8
8
0
48
8
0
16
0
0
0
17
0
0
0
0
0
0
0
0
0
0
24
0
0
0
12
0
8
48
48
16
0
0
0
0
0
0
0
0
4
0
8
0
0
0
0
34
0
0
0
16
8
0
0
0
9
9
16
16
16
24
8
0
0
0
0
0
1
0
0
0
0
0
8
0
8
0
4
18
0
0
0
0
0
0
16
16
16
0
8
0
0
0
0
0
0
8
0
0
0
4
16
0
0
0
0
0
0
8
0
8
0
0
0
16
16
0
0
32
0
0
8
8
16
16
0
0
0
0
0
16
16
0
0
2
2
0
16
0
0
2
0
0
0
16
16
0
1
1
0
8
0
0
0
4
0
4
4
4
0
26
0
0
0
0
16
0
0
0
8
8
8
2
0
0
0
0
0
40
0
8
0
0
0
0
8
0
0
0
8
0
8
8
0
2
0
16
8
0
0
0
0
0
0
9
9
0
0
16
4
34
8
2
0
8
8
2
0
0
0
0
0
0
0
16
0
0
0
0
0
8
0
0
0
0
24
17
17
0
4
0
0
0
8
12
8
0
8
2
2
16
0
0
16
16
32
0
0
4
8
1
0
0
2
0
0
0
16
16
0
4
4
4
0
0
0
4
0
0
0
0
0
0
0
0
8
0
8
0
4
0
0
0
8
3
4
1
16
0
0
0
0
20
20
0
16
0
0
4
0
0
0
8
0
8
8
0
0
0
0
0
0
0
4
0
0
0
0
0
25
4
16
16
8
0
16
2
16
0
0
4
4
0
0
0
0
0
0
16
16
0
8
0
32
0
0
9
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
8
8
8
8
8
8
8
16
16
0
0
0
0
16
16
32
0
0
0
0
0
4
0
16
2
2
2
0
0
0
0
0
0
0
0
16
16
16
16
0
34
0
0
0
0
0
2
20
0
8
0
0
0
8
0
0
1
0
0
8
0
0
0
0
0
0
0
16
16
0
0
9
0
8
8
4
0
0
4
4
0
0
0
0
1
1
0
8
1
1
32
32
0
0
0
1
0
0
0
36
36
40
40
40
1
0
0
0
8
0
0
0
16
0
0
8
24
24
24
4
0
0
8
1
1
0
0
0
18
0
0
10
0
0
0
0
1
1
1
1
1
8
0
0
5
1
0
2
2
2
2
0
0
0
0
4
0
0
8
8
8
8
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
2
2
0
0
0
16
0
0
0
8
8
8
8
16
0
0
18
16
20
41
0
2
0
8
8
8
8
0
0
0
0
8
0
0
4
2
16
5
0
0
0
0
0
16
8
8
0
0
0
8
0
0
0
24
3
3
20
20
16
16
0
0
16
16
0
0
0
0
0
0
8
16
0
16
16
25
16
0
0
0
0
8
18
8
0
0
0
0
8
16
16
0
0
0
0
8
0
0
0
8
0
0
0
0
0
0
16
16
0
0
0
0
0
8
0
8
8
0
0
20
8
32
32
0
16
0
0
0
0
0
0
0
4
24
1
1
0
16
16
0
0
0
0
0
0
0
0
0
0
1
8
8
13
0
0
24
24
8
0
0
0
8
0
4
0
4
0
0
0
0
0
8
0
0
0
0
0
8
8
8
8
8
8
0
0
0
0
0
0
24
0
0
4
0
16
2
0
8
20
0
0
0
4
0
0
0
0
0
8
8
8
0
0
16
0
1
1
0
0
0
0
0
8
0
8
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
1
0
0
0
4
4
4
4
0
8
0
16
0
8
0
8
8
16
16
16
0
0
11
0
0
0
0
4
4
4
0
16
0
0
0
0
0
0
0
16
0
8
0
2
0
0
0
0
0
1
0
16
8
0
4
0
0
0
0
0
8
0
0
0
8
8
17
4
0
0
18
0
4
4
16
18
18
8
8
0
0
5
0
0
0
1
0
0
0
32
0
0
0
0
0
8
2
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
4
0
16
0
8
40
4
0
0
0
0
0
8
32
0
0
0
0
0
16
0
4
4
1
0
0
0
0
0
8
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
22
8
8
0
8
4
0
0
0
16
0
16
0
0
0
0
0
0
16
8
8
18
8
8
8
8
16
16
8
0
16
28
0
0
16
32
0
8
8
8
0
0
0
0
6
0
0
0
8
8
0
0
0
0
0
0
0
16
0
0
0
0
0
8
2
0
0
0
0
0
0
18
0
10
0
0
0
0
8
8
20
0
0
8
8
0
0
4
4
0
16
0
0
0
0
28
0
0
0
8
8
8
1
8
0
16
16
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
16
24
8
8
0
0
0
0
0
0
8
4
0
0
0
0
0
16
0
0
0
0
8
8
32
8
8
1
8
8
0
0
0
24
0
0
0
0
0
0
0
0
0
0
3
1
0
0
2
16
0
16
0
6
6
8
0
0
0
0
0
1
0
0
0
8
8
2
2
2
0
0
16
16
16
0
0
0
0
0
9
8
8
0
8
9
32
0
0
0
0
8
0
0
32
0
0
24
2
0
8
32
0
0
0
0
0
8
16
24
24
24
8
8
8
0
0
0
0
16
0
0
0
4
4
0
8
16
16
28
0
0
0
24
16
0
0
0
0
16
16
16
0
0
8
18
18
0
0
20
18
0
16
0
0
0
8
0
0
1
1
48
0
0
0
4
4
0
0
0
0
0
0
4
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
32
4
0
0
0
1
0
0
2
16
16
16
1
0
0
16
1
0
8
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
16
0
0
8
8
0
16
8
12
0
0
0
16
2
0
0
0
0
16
40
0
0
0
4
4
0
0
0
0
0
8
9
12
0
0
8
0
16
0
8
0
20
8
8
0
8
8
0
0
0
0
1
0
24
0
0
0
8
0
1
0
0
0
12
12
0
0
8
16
16
1
24
32
16
16
0
0
0
0
18
0
0
0
8
0
0
0
0
0
0
0
0
8
0
4
1
0
0
8
6
4
16
0
0
0
0
8
0
20
20
0
48
16
16
16
0
0
0
0
0
0
0
8
8
0
0
0
0
0
24
16
22
0
4
0
0
0
0
0
0
0
8
8
0
0
0
32
0
0
16
0
0
0
0
30
16
0
0
0
0
0
0
0
1
1
1
0
0
4
0
0
0
0
16
0
0
0
16
16
0
0
0
0
0
12
0
0
0
0
0
0
0
0
8
8
16
0
0
0
16
0
16
2
0
0
0
8
0
0
0
0
0
4
0
0
4
0
0
0
0
0
0
0
0
0
1
1
1
2
0
0
16
8
16
0
8
0
0
0
4
8
8
8
0
8
8
8
0
0
0
0
0
0
8
0
8
8
0
0
0
32
32
32
0
0
0
8
8
0
0
24
0
0
0
0
16
16
0
0
0
4
0
0
0
0
0
0
20
0
8
0
16
0
16
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
32
32
20
0
0
8
0
0
2
16
0
1
1
0
0
0
0
0
24
24
32
16
16
0
0
0
0
0
0
0
0
0
0
6
16
16
8
16
0
0
8
8
0
16
16
0
0
0
0
0
0
0
0
0
0
0
16
6
8
8
16
0
0
0
0
0
0
1
1
1
1
0
8
0
8
0
10
1
0
8
0
0
0
0
0
12
0
0
34
0
16
8
1
1
1
1
0
0
0
0
0
0
8
8
8
0
0
0
4
33
33
33
0
0
0
16
2
2
0
0
4
8
0
0
0
8
0
1
0
0
0
0
32
0
0
0
0
0
0
0
16
0
0
16
1
2
8
18
18
0
0
0
0
20
0
0
1
0
0
0
0
1
16
16
4
12
1
0
0
0
0
0
0
20
0
0
0
1
0
16
1
0
0
0
0
16
16
16
0
0
16
0
0
0
0
17
0
4
0
0
0
0
0
0
16
0
0
0
0
0
0
8
8
6
0
0
8
0
0
2
2
0
8
0
2
4
0
0
16
0
0
0
0
4
8
1
8
16
0
0
0
0
0
0
0
16
0
8
4
4
8
8
16
16
0
0
8
0
0
0
0
0
0
0
0
0
0
0
16
0
16
8
0
4
0
0
0
0
0
0
1
0
0
1
0
0
2
16
16
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
18
0
0
8
0
0
0
12
16
0
0
0
0
0
0
0
8
2
0
0
0
4
0
0
0
16
16
0
0
0
0
0
0
0
0
8
0
0
0
16
0
8
0
0
0
0
4
0
8
0
0
0
0
0
8
2
8
0
0
8
0
0
2
1
40
0
0
0
0
0
0
0
0
16
16
16
16
16
0
0
0
0
0
16
0
0
8
8
8
0
0
0
8
8
8
0
0
0
0
0
8
20
16
0
0
0
0
2
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
20
8
1
1
0
0
8
8
8
0
0
1
30
0
0
0
0
0
0
0
20
8
26
0
8
0
0
0
2
9
9
1
1
0
2
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
4
0
0
8
0
0
0
0
0
8
16
0
16
0
0
0
6
0
0
0
0
0
0
0
0
0
0
0
4
8
0
0
0
0
0
0
2
2
8
0
0
8
0
0
0
0
4
0
0
0
0
0
0
0
4
4
4
0
18
18
18
0
0
0
1
0
0
0
8
0
0
32
0
0
2
8
0
0
0
0
8
16
1
1
8
16
0
0
0
0
0
2
0
16
16
4
16
12
0
16
24
0
16
16
16
16
16
0
0
8
9
0
0
0
8
8
8
8
4
0
16
20
0
16
0
0
0
2
32
32
32
32
32
0
0
0
0
0
0
0
0
8
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
8
0
20
20
20
8
8
8
8
0
0
4
0
0
8
0
0
4
2
0
0
1
0
0
8
0
0
0
0
0
0
0
0
0
8
0
16
2
28
0
0
0
0
0
0
0
0
16
0
0
24
0
24
0
1
1
0
0
0
0
0
0
0
0
0
0
16
0
32
0
0
0
0
1
12
16
24
0
24
0
4
0
0
0
0
0
1
0
16
16
16
16
0
0
0
0
4
49
0
1
0
0
0
0
0
16
0
0
0
0
0
0
0
0
32
0
0
0
0
0
0
0
0
2
0
0
0
4
4
0
0
2
0
0
4
0
0
0
0
8
0
0
8
8
0
0
2
8
8
0
0
1
1
16
0
0
16
8
16
0
0
24
0
0
0
1
0
0
8
0
20
8
28
28
28
8
4
16
0
0
3
0
0
0
0
0
0
0
0
8
8
0
8
8
0
8
8
0
16
0
2
0
0
0
16
0
0
8
8
0
0
16
0
0
0
0
4
8
0
0
0
1
0
0
0
0
0
0
0
16
16
0
0
0
8
0
0
0
16
8
2
0
0
0
0
0
0
0
1
0
0
0
6
0
0
0
0
2
0
16
0
0
10
10
1
0
0
1
0
0
4
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
8
1
0
0
18
4
0
0
0
0
0
16
8
0
8
0
0
8
16
0
0
0
0
0
2
0
0
8
8
0
0
0
0
0
8
0
8
8
16
18
0
0
8
13
0
0
0
0
0
0
0
0
8
0
1
8
8
8
8
8
8
8
8
8
4
0
16
8
16
16
16
16
16
16
0
0
0
0
0
0
0
4
0
0
0
0
24
0
8
0
0
0
0
0
0
0
20
20
0
4
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
8
0
1
0
0
0
8
24
24
0
0
0
16
0
0
2
0
0
0
0
0
13
49
8
8
0
16
0
0
0
16
0
0
0
0
3
8
12
0
8
8
0
0
20
0
0
0
2
0
0
48
0
8
0
0
0
9
0
0
0
0
1
1
1
0
0
0
2
8
0
2
8
8
0
16
16
0
0
0
2
8
0
1
0
0
8
0
8
0
4
0
0
0
16
16
16
16
1
1
8
8
1
20
20
48
1
1
0
0
0
8
0
0
0
0
6
0
0
0
16
0
0
8
8
16
16
16
8
16
16
16
16
0
0
0
0
0
0
0
0
8
25
0
0
0
0
0
0
0
20
8
8
8
0
16
17
4
4
0
0
2
8
44
0
2
0
0
0
0
4
0
8
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
1
1
0
4
16
16
16
0
0
0
0
0
1
1
0
0
0
0
2
2
8
8
0
0
0
0
0
0
0
0
0
0
0
8
24
0
0
0
0
8
8
0
0
0
0
0
0
0
0
4
8
0
0
16
0
0
0
8
2
8
0
0
16
0
0
0
25
25
0
0
8
8
8
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
8
16
0
0
0
16
4
0
16
0
0
0
0
2
0
8
0
0
0
0
0
8
1
1
1
0
0
0
8
0
0
0
0
16
0
0
8
0
0
0
8
16
16
0
0
8
0
24
0
0
8
0
0
0
0
0
0
0
0
0
2
18
18
18
18
16
10
0
16
16
0
0
2
0
4
8
8
8
16
4
0
0
0
0
0
0
0
25
25
0
0
0
0
0
0
0
20
16
16
16
0
24
24
0
8
2
0
0
0
0
0
0
0
16
0
0
20
0
0
0
0
0
0
0
4
0
6
8
0
14
25
0
20
0
0
0
0
0
0
0
8
8
16
16
24
24
8
24
1
0
0
8
16
10
0
2
0
0
0
0
0
0
1
0
0
0
8
8
8
16
0
0
0
0
4
0
0
0
0
1
1
1
16
0
0
0
0
0
0
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
8
8
0
0
0
0
0
8
2
0
0
0
0
0
0
0
0
0
8
0
0
18
0
0
0
0
1
8
0
0
0
0
0
0
0
0
0
4
0
4
54
0
8
0
0
20
4
0
0
2
0
2
4
4
0
6
6
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
4
8
8
0
2
2
2
28
2
0
0
1
0
2
0
0
0
0
8
8
8
8
8
8
0
0
16
16
16
0
0
0
0
8
8
0
0
4
0
16
32
32
32
20
0
0
0
0
0
2
0
0
0
0
0
0
4
0
0
0
0
2
0
0
0
0
0
4
4
4
0
0
0
0
2
2
8
1
8
8
0
16
4
0
14
8
0
0
9
0
0
16
0
0
0
4
4
4
0
0
0
0
0
0
0
25
0
0
24
8
8
8
0
0
16
16
0
0
0
16
16
16
16
0
8
8
16
8
0
16
16
16
1
1
1
1
8
24
16
0
4
0
0
0
0
0
0
8
0
0
0
16
4
4
4
0
8
8
8
0
0
8
0
0
0
0
0
0
0
0
2
0
0
0
8
8
8
3
8
8
0
0
2
24
24
0
8
0
12
16
16
16
0
18
0
8
8
8
0
0
0
0
0
0
0
16
16
0
8
16
28
16
16
0
0
1
0
8
8
8
0
0
1
12
12
0
16
16
8
8
0
8
16
1
1
0
8
0
44
8
0
0
0
16
0
0
0
4
0
0
0
0
8
8
3
0
8
0
0
0
0
0
8
8
24
24
0
0
0
0
24
0
20
0
16
16
4
0
0
8
0
0
0
0
0
8
0
0
0
0
0
0
0
8
0
0
0
0
2
10
16
0
0
0
0
8
8
8
2
2
0
0
0
0
0
0
0
4
8
8
16
0
0
0
0
0
5
0
0
0
0
16
4
0
4
0
16
0
0
8
18
2
2
2
16
8
0
0
0
18
18
0
0
0
0
8
0
0
25
0
8
8
0
0
2
0
0
0
0
0
0
0
24
24
2
0
0
8
0
16
0
0
12
0
0
2
0
5
8
0
16
0
16
0
0
1
17
17
1
0
0
8
0
0
0
0
0
0
0
2
0
0
8
1
0
24
1
0
0
16
8
4
8
0
0
0
0
0
4
8
0
0
0
0
0
0
0
0
0
32
0
0
0
0
0
0
0
4
0
8
0
8
0
0
0
0
8
0
0
8
0
0
7
8
0
8
8
8
8
0
32
16
0
0
0
0
0
0
0
0
0
4
4
1
0
0
0
0
16
16
0
0
8
8
0
8
8
0
0
0
1
8
8
0
10
0
0
0
0
0
2
2
2
8
0
8
0
8
0
0
16
16
8
8
0
0
0
6
0
1
1
0
0
2
0
0
0
2
0
8
0
2
16
0
0
0
0
16
16
8
0
0
0
16
0
8
8
0
0
16
0
0
1
0
0
0
24
8
8
2
0
16
0
8
0
0
0
0
0
0
0
16
1
1
4
0
0
0
0
0
4
0
16
0
8
0
0
4
16
0
0
0
0
0
0
1
8
8
8
8
2
16
2
32
0
4
0
20
0
32
8
4
4
8
32
32
0
0
8
0
0
0
0
0
0
0
16
0
0
0
8
8
8
28
28
0
0
8
8
16
0
4
0
2
0
16
16
16
0
0
2
0
0
0
0
0
0
0
0
0
8
0
0
20
16
0
0
16
0
0
0
0
8
8
8
0
0
0
0
0
0
0
8
17
0
24
0
16
16
8
16
16
12
0
0
0
0
1
8
0
0
0
0
0
0
0
0
0
0
0
8
0
10
0
0
16
16
16
16
0
0
0
16
0
2
16
36
36
36
0
0
0
16
0
0
8
0
30
20
9
8
8
8
8
8
0
2
0
0
8
0
0
0
16
16
16
0
8
8
8
0
0
0
24
0
16
2
0
1
0
1
4
4
8
8
8
2
2
0
1
0
4
4
24
8
8
4
4
0
0
10
0
0
0
0
0
0
8
0
16
4
8
4
0
16
0
0
4
16
16
16
16
16
16
16
16
2
56
56
2
2
2
8
0
8
8
0
8
0
0
0
4
0
0
0
0
1
15
0
0
13
13
13
0
0
0
0
0
0
9
0
0
8
8
0
8
8
8
16
16
0
1
1
0
0
0
0
4
8
0
8
16
8
0
0
0
0
0
0
8
8
8
0
0
0
4
4
0
0
0
0
0
0
8
9
9
8
8
0
32
0
0
0
0
0
0
0
0
40
0
0
1
1
1
0
0
32
8
8
7
7
0
2
4
8
8
0
0
0
0
12
0
0
0
8
0
0
0
0
0
24
0
0
0
4
0
0
16
16
16
0
8
8
0
0
0
0
0
0
0
4
4
4
4
4
4
0
8
8
8
8
2
2
2
39
0
0
2
0
0
16
1
1
0
0
2
2
2
56
0
0
0
16
16
8
0
0
8
8
0
16
16
0
16
16
8
8
0
8
8
0
8
2
0
0
0
0
0
0
0
0
8
8
8
0
4
2
0
0
0
25
0
0
0
0
0
8
0
0
16
0
0
1
1
8
8
0
2
2
0
0
0
16
0
0
0
0
0
16
16
0
0
0
0
8
4
0
8
1
1
1
20
0
0
24
0
0
4
0
0
0
0
0
0
0
8
48
0
0
2
8
0
16
0
0
25
0
8
8
8
8
16
16
8
0
0
0
40
0
0
0
0
24
8
8
4
0
8
8
0
1
8
8
0
24
0
0
16
16
6
2
1
8
8
16
0
8
8
0
8
8
0
8
2
0
0
0
4
4
4
0
0
2
0
4
4
4
4
4
4
0
8
0
8
8
0
0
0
0
0
0
0
16
0
0
0
0
8
1
0
32
32
1
2
0
8
8
0
8
8
8
8
0
8
0
8
0
0
0
0
0
0
0
0
0
8
0
0
0
22
0
0
0
1
0
16
16
0
0
0
4
4
0
0
16
8
8
8
8
8
0
0
0
0
16
8
0
8
8
8
0
0
8
8
8
8
0
0
0
0
0
0
0
0
0
8
8
8
16
0
8
1
0
0
8
0
0
0
0
0
0
16
16
4
8
8
0
0
0
9
0
0
16
0
0
0
8
8
0
4
8
8
0
8
8
0
0
16
0
0
0
0
1
16
8
0
8
0
0
21
8
8
0
0
0
20
4
0
0
0
8
8
8
0
8
8
8
0
0
0
32
10
0
0
18
4
4
2
0
0
0
0
56
0
24
8
0
0
0
2
8
0
8
32
0
0
8
4
24
24
0
0
0
0
0
0
0
0
0
0
8
0
0
8
8
8
0
8
8
16
8
0
0
0
0
8
16
0
0
4
4
0
8
0
0
16
16
0
0
0
0
0
8
0
8
16
0
5
5
8
8
0
0
0
8
0
0
0
0
8
0
0
16
16
52
16
4
4
4
4
0
8
16
0
0
0
0
0
0
44
16
4
0
16
0
8
8
8
8
0
0
0
0
2
0
24
0
0
16
0
4
16
16
13
0
12
16
0
8
0
0
1
0
0
0
0
1
17
8
0
0
16
0
0
0
0
4
4
0
0
0
8
8
0
4
0
0
0
0
0
16
0
0
0
0
16
0
16
1
0
2
2
0
2
24
41
0
8
16
0
0
0
23
8
8
27
27
0
0
0
0
0
8
8
8
8
16
0
0
8
16
16
8
8
8
0
0
0
0
0
0
8
0
0
0
0
0
1
32
0
8
0
0
4
4
0
16
1
8
8
8
8
16
8
0
0
0
0
8
0
24
0
0
0
0
2
0
0
1
0
24
8
33
33
0
8
8
8
1
0
0
0
0
0
0
8
0
8
8
0
0
0
0
0
0
0
8
0
1
1
45
0
8
8
0
0
0
0
0
0
0
16
4
4
1
6
6
0
0
0
4
2
0
0
0
0
0
0
0
0
0
0
8
8
16
16
0
24
0
0
0
0
0
8
8
0
8
0
0
8
0
16
16
0
0
0
0
0
4
8
8
8
0
0
4
24
2
0
5
0
0
4
4
4
0
0
8
8
8
0
0
0
4
31
31
16
0
0
8
0
0
0
0
16
0
0
16
16
2
2
2
2
0
0
8
24
0
4
0
8
0
0
29
0
18
18
0
0
16
0
8
0
0
0
0
0
0
0
0
4
8
0
0
0
0
4
4
0
0
0
0
0
0
4
32
8
4
12
0
0
0
0
16
8
8
0
10
10
0
0
0
24
16
0
24
4
0
0
2
0
0
8
8
8
8
25
1
0
0
2
2
2
0
16
0
8
0
0
8
0
0
1
16
8
0
0
0
0
0
0
0
0
0
0
8
0
4
1
2
0
0
0
0
0
0
0
0
0
0
1
8
1
1
0
8
0
8
8
0
10
16
16
16
0
0
0
0
2
0
0
16
16
0
16
16
16
0
8
0
0
0
0
16
0
0
0
16
0
0
0
0
0
8
8
16
24
8
8
0
0
0
0
0
0
0
0
0
0
8
16
12
20
16
0
0
0
0
0
16
16
16
16
16
1
4
16
0
0
0
8
0
0
2
0
0
0
8
8
8
0
32
32
0
0
0
0
24
32
1
18
18
0
0
16
16
16
8
0
0
0
0
0
0
0
8
8
8
0
0
8
0
8
24
0
8
8
8
8
8
8
0
0
0
12
0
0
4
4
4
8
8
0
16
16
0
8
8
0
0
0
0
0
0
1
1
0
0
1
1
1
0
0
0
8
0
32
0
2
10
4
4
4
57
17
17
5
4
16
16
28
0
0
0
8
0
0
0
2
2
20
26
26
26
20
0
0
0
0
0
0
0
16
16
16
8
8
8
6
0
0
0
16
4
0
0
0
0
0
0
0
0
16
16
0
8
0
0
0
0
0
0
0
18
1
1
8
8
8
8
0
0
8
0
0
0
0
4
0
0
0
0
0
0
0
8
8
0
16
16
0
0
0
0
0
0
0
0
8
4
12
0
16
1
24
4
4
0
0
0
0
0
0
0
0
4
4
8
28
16
0
0
0
4
0
0
0
0
0
8
27
0
0
0
0
0
0
0
2
0
0
0
0
41
16
16
16
0
0
16
1
0
0
0
0
0
0
0
8
8
8
8
16
0
0
8
0
0
0
0
16
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
31
8
8
8
16
37
0
16
0
0
0
0
0
0
8
0
8
4
4
28
8
0
0
0
1
0
0
0
0
0
2
8
8
0
0
1
16
0
0
0
0
40
8
8
0
0
0
0
4
0
8
0
0
2
16
16
0
0
8
8
0
8
8
1
8
0
0
2
16
4
0
0
8
8
0
3
0
4
0
0
8
8
0
8
0
0
0
0
2
8
8
8
24
24
0
4
4
2
2
2
0
0
8
8
2
2
4
8
0
17
17
5
5
0
0
0
0
0
0
0
8
2
8
0
0
16
16
16
16
0
8
0
0
0
0
0
0
0
16
0
4
4
0
0
32
0
0
24
8
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
16
8
8
8
16
16
0
4
4
4
4
0
0
0
1
8
8
0
0
2
2
8
40
53
8
8
8
0
0
16
16
16
4
0
3
3
3
0
0
0
0
16
16
0
0
0
4
0
0
0
16
5
5
5
4
4
0
0
0
0
0
0
9
2
20
20
20
0
0
8
8
8
0
0
0
2
2
24
0
8
0
0
0
0
0
0
0
0
16
16
0
1
0
8
8
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
8
8
8
0
8
8
16
16
0
0
0
0
0
0
0
16
0
0
0
0
0
8
24
24
1
1
0
0
0
0
1
1
28
0
8
0
0
16
8
8
8
0
16
16
0
0
12
8
0
0
12
16
8
8
0
8
9
0
0
8
8
1
0
0
8
0
0
0
0
4
0
8
8
8
8
0
0
16
4
8
8
8
0
0
16
16
0
0
0
0
0
4
4
0
8
0
24
24
24
4
0
0
0
0
0
0
16
16
16
0
4
4
4
0
17
0
8
12
12
12
16
8
16
16
0
8
1
0
0
16
16
16
16
16
0
0
0
0
0
0
8
32
0
32
32
8
8
1
0
16
0
16
16
0
1
1
1
40
1
16
0
0
0
0
8
8
32
32
0
0
0
5
0
0
1
6
0
0
0
1
8
0
8
8
8
16
0
2
2
2
0
16
16
1
1
8
16
16
16
8
0
0
0
0
8
8
0
0
0
16
16
16
34
34
8
8
16
16
17
0
0
0
8
0
0
0
0
0
0
22
1
1
0
0
0
8
32
32
16
0
0
0
8
0
8
0
0
16
16
16
16
16
16
0
0
0
0
0
0
4
0
10
20
8
8
8
8
8
1
17
17
0
0
0
0
17
8
8
0
8
4
8
0
0
0
0
0
0
0
16
8
16
0
0
0
0
8
8
16
0
0
0
8
0
34
8
8
8
6
6
6
0
0
0
0
0
0
8
8
0
0
10
10
0
0
0
0
24
8
8
0
0
0
8
8
8
8
0
8
0
0
0
16
0
16
9
9
9
16
8
8
0
0
12
0
0
8
4
8
8
0
2
2
2
2
2
2
16
0
8
8
8
8
1
0
0
0
0
4
0
16
16
16
16
8
8
0
0
0
16
0
2
4
4
4
4
0
0
0
16
16
16
0
8
8
0
8
0
8
0
0
4
8
8
8
0
26
26
12
4
8
0
0
0
16
16
0
8
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
2
2
8
1
0
0
0
0
0
4
4
8
8
0
0
0
0
0
8
0
0
0
0
8
1
0
0
8
8
10
10
0
8
8
0
0
2
0
8
8
32
32
0
0
8
8
0
0
8
8
16
4
4
0
0
16
0
9
9
0
0
24
8
0
18
0
8
8
0
0
12
12
12
12
0
8
0
0
0
0
0
16
16
8
8
16
0
0
24
5
4
0
1
1
1
8
12
8
8
8
8
8
0
8
0
8
32
0
0
0
4
0
0
0
0
0
0
17
1
1
1
0
8
8
8
4
0
0
8
0
8
8
8
0
0
0
0
8
4
4
8
0
8
0
0
0
8
12
12
9
17
0
0
0
0
0
6
8
8
8
0
4
24
8
0
0
0
0
8
0
8
0
0
0
0
8
0
4
4
8
0
0
24
4
1
2
0
0
0
4
0
16
16
0
0
2
8
16
0
0
0
1
1
0
0
0
16
8
8
0
0
0
0
8
4
4
2
0
0
0
1
8
8
8
8
8
8
8
8
8
8
0
0
8
0
18
18
0
0
0
4
4
4
4
8
33
33
33
0
16
0
0
0
0
0
0
16
16
0
2
8
0
0
0
0
0
0
0
0
16
0
0
1
1
13
8
0
0
4
4
16
16
16
8
24
0
0
25
0
16
0
0
0
0
0
18
1
16
16
16
16
8
0
4
0
2
2
1
0
16
17
17
0
16
16
0
16
16
0
0
0
0
0
8
0
0
1
1
1
18
0
16
0
4
0
4
32
0
2
2
0
6
6
48
0
0
0
0
0
24
24
32
0
0
1
12
0
0
0
5
8
1
1
0
8
0
0
24
2
2
0
16
16
0
0
16
0
0
16
0
0
1
0
0
0
0
0
0
0
0
0
32
0
0
1
1
16
16
16
16
4
4
33
12
0
0
16
16
0
0
0
0
0
0
0
16
16
0
0
28
28
0
0
0
8
0
8
0
4
4
0
0
8
0
0
8
9
16
4
4
4
10
20
20
16
8
8
0
0
0
8
8
8
8
12
12
12
12
8
8
0
0
0
8
0
0
0
16
8
24
8
8
27
33
33
33
0
8
8
0
16
16
16
2
8
8
0
0
8
8
8
16
1
0
8
8
8
8
8
0
4
0
0
0
4
16
4
30
16
0
0
4
4
0
0
24
24
24
12
12
16
0
0
0
0
0
0
32
0
33
0
16
16
0
16
16
0
16
0
0
0
0
0
16
0
1
0
2
0
8
12
0
0
0
1
0
0
0
0
32
40
0
0
0
24
24
24
4
0
0
16
16
16
0
32
0
0
8
16
0
8
8
8
1
8
16
16
16
0
2
0
0
8
8
4
2
0
16
16
16
0
0
0
0
0
8
0
0
0
8
8
0
0
0
8
0
16
0
8
0
16
1
1
1
1
1
0
0
8
8
8
8
0
0
0
16
16
16
16
16
0
0
0
0
24
24
8
8
0
4
0
0
16
0
0
0
0
0
0
0
8
0
16
16
16
0
2
16
0
8
8
8
8
0
0
10
10
8
8
0
24
16
16
4
4
4
16
9
0
6
16
8
0
16
1
16
16
16
0
0
0
17
17
16
8
0
0
8
20
20
0
0
8
16
0
0
0
16
16
16
16
16
16
16
0
0
8
8
20
0
0
0
48
16
16
16
0
0
0
0
16
0
32
32
8
8
0
0
16
0
0
0
1
8
8
1
8
0
17
0
0
0
8
0
8
0
2
2
4
8
8
8
8
0
0
0
0
0
0
0
0
8
0
0
0
0
16
0
0
8
16
16
0
20
20
0
8
8
8
8
8
0
0
1
16
16
32
32
32
0
16
8
8
0
0
8
8
8
8
8
1
16
4
20
4
4
0
0
4
4
4
16
16
16
12
0
0
0
0
0
8
4
8
0
0
16
16
0
8
0
0
0
16
16
0
20
1
1
1
4
0
0
8
8
8
0
0
8
8
16
0
32
32
16
16
24
24
24
8
8
0
8
1
1
0
32
32
8
8
8
8
0
0
0
12
0
0
0
28
0
4
4
8
1
0
8
16
8
8
16
16
16
0
0
0
0
0
0
1
1
1
0
4
8
20
20
8
0
8
8
4
16
16
8
8
16
16
0
0
24
8
2
0
8
8
2
2
2
1
8
8
8
8
4
0
16
16
0
2
8
0
0
0
8
8
8
0
0
8
8
8
0
0
0
0
16
16
8
0
0
0
0
0
0
24
24
12
12
12
0
0
8
0
0
0
0
16
0
8
8
8
0
0
0
0
0
8
8
0
0
0
0
4
0
17
0
0
32
8
8
8
0
22
0
0
8
0
0
0
8
1
49
0
0
0
0
0
1
8
0
0
1
0
0
0
1
8
8
8
8
8
8
8
8
8
16
16
0
8
8
20
0
0
0
16
16
0
0
0
0
0
0
1
1
1
8
40
8
0
0
0
8
8
16
0
16
0
8
8
0
0
0
0
0
4
8
16
16
0
0
2
0
8
8
17
1
9
16
16
16
0
0
0
0
0
1
1
0
1
0
4
4
4
16
16
16
0
0
28
0
0
4
8
0
0
1
1
8
8
2
2
2
2
2
16
16
16
16
16
16
16
4
0
0
0
1
16
16
16
16
8
8
2
1
1
1
41
17
1
1
1
0
8
8
0
8
0
0
0
0
0
0
0
0
0
0
16
20
20
0
0
0
8
8
8
8
0
0
0
16
8
0
0
1
4
0
32
8
4
24
25
24
0
0
0
0
0
16
0
8
8
8
0
12
8
17
8
14
14
14
4
4
4
4
4
4
2
2
22
16
16
0
8
0
0
0
8
0
8
16
0
0
0
16
16
16
16
16
16
16
16
16
16
29
0
32
32
32
32
16
8
4
4
0
0
8
4
4
4
4
0
32
32
8
0
0
8
0
2
2
0
0
8
0
0
0
0
50
50
8
8
8
8
8
8
16
16
0
16
0
0
24
24
24
8
8
0
0
0
0
4
16
4
4
4
4
24
24
0
4
4
4
8
0
0
0
0
16
0
0
16
8
8
0
0
0
4
0
0
0
0
0
0
0
0
16
0
0
0
24
0
0
0
8
0
16
1
1
1
0
0
0
28
28
32
2
0
0
4
4
0
0
4
4
0
0
0
8
8
16
0
16
0
0
0
16
8
0
4
0
0
16
0
0
0
0
16
16
16
8
8
8
8
8
8
8
8
4
24
24
18
8
8
0
0
0
0
16
16
16
8
8
1
1
1
1
8
0
12
8
0
4
41
0
0
0
0
0
0
0
0
0
16
16
8
8
0
20
20
0
16
32
32
4
8
0
8
8
0
8
0
0
8
0
8
8
8
0
0
8
8
8
16
0
0
8
0
8
8
0
16
4
4
4
0
48
0
0
0
0
1
1
0
0
0
32
8
8
8
0
16
16
16
24
0
0
1
0
0
32
0
0
0
0
16
16
8
16
16
16
0
6
6
6
16
0
8
0
0
0
8
1
1
16
16
0
2
2
2
2
2
2
0
8
32
32
0
16
17
17
17
48
48
8
8
8
8
8
0
0
0
0
16
0
1
1
0
0
0
0
0
12
4
33
33
0
16
8
8
0
8
8
0
8
2
8
16
16
8
8
0
0
0
8
8
1
0
0
12
12
1
16
0
0
2
16
24
12
4
0
0
25
0
0
0
0
8
8
4
0
0
0
0
4
8
8
8
8
8
8
8
2
8
8
16
0
16
24
16
1
0
16
16
16
16
0
20
0
32
2
8
0
0
0
0
0
0
8
8
4
8
0
0
16
16
16
16
0
32
32
8
33
33
0
0
0
0
0
0
0
0
24
16
0
4
20
8
0
0
1
0
0
0
0
0
0
0
16
16
16
0
0
4
0
0
24
0
0
0
8
8
4
4
8
24
24
24
24
4
4
18
18
22
0
0
0
16
8
8
0
0
0
4
8
8
0
0
16
0
0
0
9
0
16
0
0
0
0
16
4
0
16
0
0
0
8
8
0
0
34
34
1
1
0
8
8
4
4
24
0
0
8
8
8
8
0
12
0
0
0
16
0
0
0
8
8
0
0
8
16
16
16
16
0
0
0
0
8
16
0
0
0
0
12
12
0
0
8
0
8
8
0
4
4
4
8
0
0
0
0
0
0
16
8
8
1
1
0
0
1
0
0
2
0
8
8
8
8
2
2
8
16
16
0
0
16
8
4
0
12
12
12
12
0
17
17
0
0
0
0
0
0
25
8
8
16
8
0
0
0
0
0
8
0
4
4
0
20
0
0
0
0
0
8
8
8
8
0
0
0
0
0
0
16
0
16
8
8
0
0
0
8
8
2
2
2
0
0
0
0
1
8
0
0
16
8
8
16
0
16
26
0
0
0
0
8
8
0
0
0
16
16
16
16
0
0
0
0
8
8
8
8
18
18
0
0
0
0
0
16
16
16
16
8
8
58
8
8
8
8
8
34
0
9
0
0
0
16
16
33
8
8
8
16
16
52
8
8
8
25
1
8
1
1
16
16
0
0
4
4
0
8
8
0
0
0
0
1
16
16
16
16
0
12
24
0
20
16
0
57
8
4
16
16
28
28
0
0
8
0
8
0
8
8
32
8
4
4
4
4
12
12
12
12
0
0
0
4
0
1
4
8
8
8
8
0
0
10
10
16
0
0
0
0
16
16
8
8
16
16
16
16
32
0
16
16
8
8
8
16
16
16
16
4
4
16
4
4
4
0
0
0
0
49
0
0
0
0
8
0
0
2
4
0
8
8
8
8
0
0
0
0
0
8
8
60
0
0
2
26
0
0
8
0
0
0
16
8
0
0
0
32
8
8
0
0
4
4
4
4
8
8
20
20
20
20
0
0
0
0
0
4
0
12
8
8
8
8
4
17
0
8
16
16
0
0
1
1
6
6
0
8
8
0
0
0
0
0
6
6
0
0
0
0
0
2
0
0
16
16
0
0
0
0
0
0
17
17
0
8
0
2
0
1
0
8
8
0
4
2
0
8
8
8
8
8
8
0
0
8
0
0
18
18
0
0
16
16
0
0
0
4
16
16
16
16
33
33
0
1
8
1
8
16
0
0
8
8
0
4
8
16
2
0
12
12
12
40
0
0
0
0
2
2
0
8
8
8
8
16
20
16
32
4
4
0
0
0
16
16
0
0
0
0
0
0
0
0
4
4
4
4
24
16
16
8
8
1
2
17
0
32
0
0
0
10
2
0
8
0
16
16
16
16
16
17
17
0
0
0
0
0
16
16
16
16
0
0
10
10
10
0
0
4
0
24
4
9
2
16
0
0
0
0
0
4
12
0
0
0
0
0
32
32
8
8
8
8
0
2
2
8
2
0
18
18
8
8
2
2
16
16
16
16
16
8
0
0
0
0
2
0
4
4
0
8
8
0
0
0
0
0
0
16
32
32
32
8
24
24
6
4
4
4
16
0
16
16
0
8
2
2
2
16
16
1
32
1
1
46
0
0
0
2
2
0
0
0
4
4
8
0
16
16
16
0
0
0
0
8
8
8
8
8
8
8
16
0
0
0
0
2
8
8
8
0
0
0
0
0
0
0
0
0
0
48
0
16
0
0
0
0
16
16
8
0
8
1
1
1
9
0
0
0
16
1
8
0
0
0
9
0
0
0
0
0
8
0
0
0
0
20
0
4
33
16
8
0
0
2
4
4
4
8
1
11
26
0
24
24
16
1
1
0
0
0
2
2
16
0
0
0
8
8
8
8
0
0
4
4
4
0
0
8
8
8
0
0
0
0
4
0
0
8
0
0
0
0
16
16
0
0
48
48
8
0
0
0
0
0
0
0
1
1
8
0
8
8
8
0
1
16
8
0
0
16
2
0
0
8
16
28
16
0
4
4
2
56
0
8
16
16
16
8
24
24
24
18
18
16
0
8
0
0
0
0
28
4
16
0
17
8
0
2
4
8
0
0
12
0
1
1
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
8
8
16
16
16
1
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
18
0
0
8
8
8
16
16
0
16
8
2
0
0
0
0
16
0
0
0
8
0
0
0
0
8
8
8
0
0
0
0
4
16
8
8
0
0
4
16
8
1
2
2
16
8
0
0
0
0
16
0
12
8
8
0
0
32
16
16
20
16
8
16
0
8
8
8
4
8
8
8
8
0
0
0
0
0
0
0
0
0
8
0
48
0
2
0
8
16
16
9
0
0
0
10
10
4
8
8
1
20
0
0
17
8
8
8
8
24
24
2
8
8
16
16
8
8
8
0
0
0
1
1
16
4
4
4
4
8
0
16
0
25
16
16
4
4
4
4
0
0
0
0
0
0
0
8
8
8
8
8
36
16
16
8
17
2
2
0
16
8
8
8
8
2
16
8
1
2
56
58
58
58
58
0
16
1
8
0
2
8
0
0
16
1
24
0
8
8
8
16
16
8
4
0
8
8
1
0
8
8
0
0
16
16
0
24
24
16
4
24
24
0
0
24
16
16
8
8
0
1
1
0
0
2
20
16
16
3
0
20
18
18
16
0
16
16
2
24
24
24
0
0
8
0
0
8
1
1
1
0
8
0
0
0
0
8
8
8
0
0
8
8
0
0
8
0
0
8
8
8
8
16
0
8
8
8
8
8
8
16
0
0
8
8
8
8
0
0
16
16
2
2
2
2
2
2
0
2
8
8
8
0
0
0
0
8
0
8
8
32
0
0
8
8
8
8
8
8
8
0
32
32
2
8
0
0
12
0
0
0
16
16
16
0
24
8
1
8
8
8
4
0
0
0
0
8
0
0
8
8
8
2
17
17
0
8
8
16
0
0
0
0
24
8
8
17
0
0
16
16
0
0
0
0
4
0
0
8
8
8
8
4
4
8
8
8
16
0
0
0
9
0
0
0
0
0
24
24
8
0
0
0
20
0
0
4
16
0
4
4
4
24
16
0
0
0
0
16
0
4
4
12
12
4
8
8
16
16
0
0
0
0
8
8
8
8
8
0
0
0
0
2
2
0
0
0
0
4
2
32
1
8
0
2
8
0
16
16
2
8
0
0
16
16
0
0
0
1
8
0
0
4
16
4
4
4
18
2
0
0
4
4
0
0
4
1
2
2
0
8
0
0
0
0
8
0
0
16
16
0
0
2
2
16
8
2
0
8
0
0
16
16
24
0
16
16
0
0
0
0
8
8
8
8
0
6
17
0
8
0
0
0
16
16
16
16
1
1
1
0
0
8
0
0
0
16
0
0
0
16
2
16
0
0
61
16
16
16
2
24
24
0
8
16
16
16
16
0
20
0
0
0
0
0
1
1
0
0
0
0
0
8
0
0
16
4
4
16
16
0
8
8
2
0
8
8
8
16
16
0
2
8
8
0
0
0
16
0
0
0
24
0
0
0
16
16
8
16
16
16
8
2
2
0
0
0
0
16
16
0
0
2
2
0
8
0
0
8
0
8
0
0
8
8
9
0
0
0
0
4
4
0
8
0
4
0
12
56
16
16
24
24
24
0
12
20
20
0
0
2
8
16
8
8
0
0
0
0
4
8
0
1
1
16
16
0
8
8
8
0
8
0
0
47
0
0
0
0
28
8
16
0
8
0
4
4
4
4
0
24
0
8
8
8
8
0
1
8
0
8
8
0
0
0
8
8
0
0
0
0
16
0
16
16
0
7
0
0
0
16
20
20
0
0
0
3
4
8
8
0
0
0
0
0
16
8
25
25
0
0
0
8
16
24
8
8
0
0
26
0
8
3
8
1
4
24
1
1
8
3
3
3
2
2
2
49
0
0
8
8
8
0
0
0
2
0
0
8
8
8
8
1
16
20
8
8
28
16
0
0
2
16
8
8
1
4
1
21
0
0
16
16
0
6
4
2
12
0
8
8
8
8
8
0
2
2
8
8
4
4
0
0
52
16
0
4
4
4
4
8
0
0
0
0
2
16
8
8
1
8
8
8
16
0
0
16
1
0
0
0
0
0
0
0
0
0
0
8
8
8
8
0
0
0
0
0
0
0
0
0
16
0
8
8
0
0
16
8
2
16
16
16
20
20
16
1
0
32
32
56
8
8
24
8
8
8
2
2
8
2
2
2
0
4
4
0
0
0
0
16
8
0
4
4
8
8
8
2
0
0
0
0
8
8
8
0
4
0
0
0
8
0
0
0
4
4
4
4
12
4
0
0
0
0
16
16
0
2
2
2
16
0
16
0
0
0
0
0
0
0
0
0
0
8
0
0
8
16
8
24
8
56
0
0
16
16
8
8
8
8
0
16
0
0
8
0
0
0
0
0
0
0
4
2
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
20
20
0
8
0
24
0
0
0
0
8
32
0
0
16
4
0
5
8
0
0
16
16
0
0
0
0
0
16
0
0
0
8
0
8
8
0
0
0
16
8
8
8
12
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
8
42
8
0
1
12
12
12
0
8
6
0
0
0
4
0
0
8
8
0
17
0
2
8
0
0
0
0
0
0
0
24
0
0
0
0
0
8
8
0
16
0
2
0
0
0
1
0
16
1
16
16
16
48
0
0
0
8
16
0
16
0
0
2
0
8
8
0
4
4
4
4
0
0
0
0
0
0
0
17
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
8
40
0
9
1
0
0
0
18
16
36
36
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
3
8
8
8
16
0
16
0
0
16
8
1
0
0
0
16
1
0
16
0
0
0
8
8
8
0
0
0
16
8
0
0
8
16
16
16
0
0
0
16
8
0
0
33
8
8
8
16
16
16
16
16
8
8
4
4
40
40
40
0
6
4
8
0
9
0
16
2
2
16
0
0
0
18
18
16
16
4
4
4
4
4
4
0
8
0
0
0
0
0
8
8
2
8
0
0
0
8
0
16
16
16
48
48
0
8
8
0
0
0
0
29
20
0
22
22
0
0
1
8
0
0
2
2
2
0
0
0
16
0
8
16
0
0
16
16
16
0
0
0
0
52
16
16
53
0
0
8
8
0
0
16
8
8
0
2
8
8
2
0
0
0
0
0
8
8
32
0
0
2
2
0
0
12
0
8
8
8
8
8
0
17
0
1
49
49
49
0
0
0
0
0
0
8
8
8
16
16
16
8
16
0
0
16
8
32
32
8
8
8
0
0
0
0
4
16
16
0
0
0
0
0
0
0
4
4
4
0
0
16
16
8
8
8
4
0
8
0
8
16
16
16
8
16
16
16
8
12
8
16
8
24
16
16
0
8
0
8
0
16
16
16
16
16
16
24
24
0
8
8
8
0
12
12
0
0
0
0
8
8
8
0
0
16
0
8
8
0
0
8
8
8
8
8
0
0
0
0
0
17
0
16
16
16
16
0
8
8
8
8
0
0
16
0
0
0
0
1
0
8
8
16
0
0
6
0
0
0
2
0
0
0
1
0
8
0
0
0
8
0
0
16
16
16
16
0
0
3
3
0
8
0
0
0
0
0
16
10
10
10
0
0
8
16
16
4
0
0
0
0
0
0
24
24
24
24
0
0
8
16
8
8
0
0
0
0
4
18
8
8
0
0
8
4
4
4
8
8
8
8
32
32
32
0
10
10
17
17
57
8
16
16
0
0
0
0
0
0
0
0
8
8
0
0
0
4
4
3
0
0
6
12
2
4
0
0
0
16
16
16
4
16
16
0
8
8
34
4
2
16
16
0
8
8
8
8
8
16
16
0
0
16
16
0
0
0
1
0
0
0
1
4
2
4
16
0
24
0
0
0
0
0
0
1
0
0
0
2
4
0
0
0
0
0
0
16
0
0
0
0
1
8
32
32
8
8
8
0
0
52
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
17
17
8
8
16
0
8
0
0
8
1
0
2
0
1
0
0
0
1
0
8
16
0
0
0
0
0
3
16
16
16
0
8
8
0
0
0
0
20
16
16
3
0
0
0
0
0
0
0
8
16
8
1
1
1
1
1
1
8
0
32
32
32
32
8
8
16
0
0
16
8
8
8
8
8
0
0
16
4
0
0
4
4
4
1
1
8
8
8
16
16
16
0
2
2
0
0
2
10
8
0
0
0
16
0
0
16
0
0
2
1
1
1
0
0
13
0
28
0
0
0
8
0
4
4
8
8
8
0
0
2
0
0
0
0
0
0
0
4
16
32
0
8
8
8
8
16
0
54
54
32
32
32
32
16
16
16
0
8
8
32
44
0
16
16
8
24
0
8
0
32
0
0
0
16
0
16
16
16
4
4
4
4
24
12
12
12
12
2
2
0
8
0
0
2
2
2
0
0
16
0
10
8
0
0
0
8
8
0
0
0
0
0
0
8
8
0
0
0
1
0
8
0
16
16
16
16
16
16
16
0
0
0
8
17
22
3
0
4
0
8
0
8
0
24
16
16
16
16
20
20
8
8
0
0
0
0
0
0
28
28
0
0
0
0
5
0
8
8
2
2
0
5
5
5
5
0
0
16
8
0
0
4
8
8
4
16
4
0
16
16
16
16
16
0
0
8
0
0
0
8
0
0
0
0
0
0
0
10
10
0
18
18
0
9
0
4
2
8
16
16
8
8
0
0
0
8
8
8
8
16
16
16
0
0
0
12
8
16
0
32
0
8
8
1
1
0
0
0
0
0
0
0
0
16
0
0
0
0
0
32
24
0
16
5
0
0
16
16
0
0
0
8
8
8
16
8
24
0
1
16
2
8
24
0
0
8
16
0
0
12
12
30
30
0
0
0
0
8
0
0
0
18
16
0
4
16
4
4
4
4
24
24
24
24
24
0
0
8
8
8
16
16
0
0
0
2
2
8
8
8
0
0
4
4
0
0
0
8
8
8
8
0
0
4
16
16
0
0
0
0
18
0
0
0
32
16
0
8
0
8
8
8
0
16
16
16
8
8
0
0
4
4
2
24
24
24
18
16
0
8
0
16
8
16
0
0
0
8
0
0
16
16
16
1
32
0
0
16
8
16
16
16
16
24
1
1
0
0
8
0
0
0
0
0
16
0
8
8
8
20
12
16
16
0
0
34
34
16
4
0
0
0
0
8
8
0
0
0
24
8
16
16
4
0
0
0
0
0
0
0
8
0
16
30
30
30
0
25
0
0
0
8
0
17
8
27
8
8
8
0
0
4
0
16
16
16
16
16
28
0
0
8
0
0
0
0
0
1
8
0
6
1
8
8
0
24
16
1
0
8
8
0
12
12
12
0
0
0
2
8
0
0
0
0
0
0
8
0
2
2
0
0
0
0
0
8
8
8
8
16
16
16
16
8
8
16
0
0
0
16
16
0
16
16
0
6
0
0
35
35
0
16
8
0
25
0
4
8
8
0
0
8
20
20
56
56
56
52
24
24
0
4
16
2
2
2
2
0
0
0
8
0
8
16
0
4
0
1
1
1
1
0
0
20
0
8
8
4
8
0
0
0
0
16
16
1
1
1
0
8
21
21
21
8
8
0
0
0
20
20
16
16
16
0
0
8
0
0
0
8
0
0
0
0
0
8
8
0
1
1
2
2
0
0
0
4
6
6
6
6
6
24
1
4
4
0
8
16
16
0
0
0
0
0
2
0
19
0
16
4
4
0
0
16
16
8
8
0
0
1
0
0
0
0
0
4
4
8
1
0
0
8
8
8
8
0
8
25
18
18
18
0
0
0
4
4
0
16
8
16
8
8
8
8
16
20
20
20
0
4
2
4
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
18
2
2
14
14
14
16
16
16
0
0
16
8
8
8
0
0
0
0
24
0
16
1
1
0
0
0
0
0
32
1
0
0
0
24
24
0
0
2
8
8
4
8
8
8
8
12
12
16
11
16
16
0
8
1
0
0
4
4
0
8
8
48
0
8
8
0
0
0
0
0
0
16
0
0
0
16
0
0
8
24
24
8
8
16
16
16
0
0
0
4
0
0
0
0
16
0
0
0
0
2
1
0
0
4
0
0
0
0
0
0
0
0
0
0
16
16
2
16
16
6
0
0
16
2
4
4
0
0
0
0
0
32
32
32
0
0
26
16
0
8
8
0
0
0
0
0
37
5
5
13
8
8
2
0
8
16
21
5
8
4
8
8
8
0
4
0
0
4
0
0
8
8
8
24
20
20
27
16
16
16
0
0
0
2
2
0
20
3
16
1
1
1
1
8
8
8
16
0
16
16
16
16
16
8
8
20
25
0
24
24
0
2
0
0
0
8
8
24
0
0
1
8
0
8
8
53
2
8
0
0
16
1
4
4
4
4
4
0
0
0
20
28
8
8
8
0
0
0
8
16
0
0
0
4
4
4
1
1
8
8
16
25
24
24
8
8
0
0
0
0
0
0
0
8
8
0
4
4
4
0
0
0
16
0
0
4
0
0
16
8
0
10
0
0
8
54
54
16
0
0
16
0
8
8
24
16
16
0
0
8
0
0
0
8
8
0
0
0
8
0
0
16
16
16
0
0
0
16
0
8
8
16
0
17
6
8
4
4
0
0
4
4
26
26
8
32
32
8
1
0
0
8
0
4
0
0
0
20
20
0
0
0
0
0
16
8
4
16
1
1
1
1
2
2
0
8
1
0
0
0
0
0
0
0
0
0
0
0
2
2
0
18
0
0
0
8
0
8
8
8
8
8
0
0
0
0
0
0
8
8
0
0
0
0
0
0
16
0
0
51
0
0
8
8
32
32
32
32
33
16
8
8
0
0
2
2
2
4
4
0
0
8
8
0
0
1
0
0
8
8
8
8
16
20
20
0
0
0
0
0
5
18
17
0
20
0
0
1
1
0
0
0
0
21
21
21
8
8
8
2
0
0
0
0
16
16
24
24
24
24
20
8
8
8
8
8
8
8
0
0
0
0
0
18
18
16
40
0
0
0
0
0
0
16
16
0
8
0
1
12
8
0
8
0
0
16
0
0
0
4
4
0
0
0
0
0
12
0
0
0
0
0
0
16
16
30
0
0
0
0
0
2
8
8
1
0
0
0
0
0
0
8
8
0
0
1
0
8
0
4
16
16
2
0
16
16
0
0
0
0
0
16
0
4
8
2
0
0
8
0
0
8
18
16
0
0
0
3
16
16
1
8
8
8
8
0
0
0
1
0
16
0
8
8
18
18
18
16
2
2
32
0
0
0
0
0
2
2
0
0
8
0
0
8
8
0
8
0
0
16
2
4
4
4
4
0
16
0
9
9
16
0
0
0
8
8
8
0
0
0
8
8
8
8
8
0
0
0
0
8
8
8
2
2
0
0
0
0
0
8
8
8
20
4
32
32
0
0
4
4
0
0
0
0
16
0
4
0
8
0
16
4
4
4
32
0
0
8
0
0
16
0
2
0
16
16
0
0
0
0
16
16
0
0
0
0
0
16
0
0
8
8
8
8
8
1
1
2
29
0
0
0
0
4
0
0
32
24
24
8
8
0
0
2
0
0
8
8
4
4
4
4
2
0
0
0
16
16
16
16
16
16
0
8
8
8
1
1
0
16
0
16
16
16
0
0
0
0
8
16
16
0
1
0
16
16
0
2
8
8
24
24
0
1
0
0
8
0
11
11
11
1
32
32
0
0
0
0
0
25
25
25
4
4
0
0
16
16
0
0
0
8
8
9
0
32
32
32
0
2
4
1
1
1
8
2
16
8
8
8
8
8
8
0
0
0
0
0
16
16
16
0
0
0
0
0
0
25
25
25
25
2
16
0
0
8
0
0
42
0
16
16
0
0
0
17
24
0
0
0
0
48
0
0
0
24
24
24
0
32
0
0
0
0
0
0
0
0
0
4
0
0
8
8
16
4
4
4
4
4
0
18
16
0
0
0
8
8
2
2
2
0
0
3
8
17
0
0
0
0
8
8
9
8
0
8
0
0
4
8
8
1
1
0
0
0
4
8
0
1
1
1
0
9
8
8
8
0
8
8
0
0
16
16
8
16
16
8
8
4
4
4
4
1
0
0
0
4
16
16
16
4
18
0
8
8
8
0
4
4
16
0
0
0
0
16
16
16
8
8
0
0
1
4
4
4
4
25
8
8
0
0
0
1
0
0
0
4
0
0
0
0
8
8
0
4
16
0
8
0
4
0
0
0
0
0
0
0
2
0
0
0
8
8
0
16
16
6
0
16
0
0
0
0
0
8
1
1
1
8
8
24
24
8
0
8
8
8
8
8
8
0
0
0
0
0
16
8
8
8
8
0
0
0
0
0
8
17
1
1
4
4
16
16
16
0
0
0
9
0
0
56
0
26
8
8
16
0
0
8
32
32
32
32
32
0
0
28
0
1
4
4
16
16
16
16
24
8
0
0
0
0
0
0
0
0
12
0
16
8
16
16
2
2
0
18
18
18
18
18
2
2
0
16
0
0
0
0
0
8
8
32
32
0
8
0
24
24
9
0
48
32
16
0
16
0
0
4
24
4
8
8
8
0
24
24
24
0
0
25
25
25
25
25
8
8
0
0
0
0
48
48
0
0
0
8
0
0
0
0
0
8
8
0
1
0
4
4
4
44
44
44
44
0
8
16
0
8
8
8
0
0
8
8
52
52
1
1
1
1
32
8
0
0
0
0
17
0
0
0
0
2
4
4
0
4
0
8
0
8
0
4
0
0
0
0
6
6
6
0
0
0
8
8
8
0
8
8
8
0
0
0
0
26
16
16
4
0
0
1
2
16
16
8
0
0
0
0
0
0
8
8
8
8
0
0
8
8
16
16
8
8
8
36
36
36
0
0
0
32
0
0
0
0
0
0
0
0
16
16
16
0
8
0
16
0
0
0
0
0
18
8
0
0
16
2
1
16
4
32
32
32
22
8
8
0
0
0
56
56
20
16
0
0
16
16
8
8
8
0
0
1
2
8
0
0
8
8
8
0
8
4
0
1
1
16
1
1
1
0
4
1
1
0
16
0
0
0
32
16
8
0
0
0
0
8
0
21
0
16
16
16
16
16
8
8
8
8
16
16
16
16
16
0
0
0
0
0
0
0
0
2
2
8
0
0
40
40
0
16
0
0
0
1
8
0
0
16
1
16
0
0
18
8
0
6
16
16
16
8
16
0
4
20
0
0
0
0
24
24
2
8
0
0
2
16
10
10
8
8
0
0
0
0
1
0
0
8
8
8
8
0
0
1
16
16
8
8
0
0
33
8
8
8
8
0
0
1
1
9
16
16
0
4
8
0
0
0
0
0
8
0
0
8
8
8
8
16
16
8
0
0
8
0
0
0
0
0
0
0
0
0
0
1
16
16
16
0
0
0
16
0
0
16
0
0
0
0
16
16
16
16
2
8
0
0
4
4
4
18
0
0
0
0
0
0
1
8
8
24
8
0
1
8
8
4
4
32
32
41
41
41
0
1
1
1
16
0
1
4
16
0
16
16
16
8
0
0
8
0
8
8
0
0
0
10
10
0
16
0
16
16
8
8
16
0
24
0
0
0
0
9
9
0
0
1
16
16
0
0
16
16
1
8
8
8
8
8
8
1
1
1
1
0
16
16
0
1
8
16
5
0
8
8
8
16
16
0
0
16
16
16
16
16
0
0
0
0
0
0
16
16
16
16
16
8
8
0
0
0
0
0
0
0
8
41
16
16
16
32
0
8
1
1
0
8
8
8
0
4
0
0
0
4
0
2
0
0
2
4
4
16
8
0
0
0
0
0
16
8
8
8
8
0
0
2
0
0
0
0
0
0
16
17
8
0
0
0
0
0
8
1
1
1
1
0
0
1
0
20
4
8
9
4
0
0
0
0
0
0
0
8
4
16
16
0
1
2
0
16
8
4
0
0
0
0
0
17
17
17
9
0
0
9
9
28
62
0
0
0
0
0
0
1
0
8
0
8
0
0
0
4
1
0
16
16
16
16
16
16
8
16
0
1
18
0
2
8
8
0
0
0
0
8
0
0
0
0
0
0
0
8
8
0
8
0
56
0
48
16
8
8
0
8
0
0
8
0
0
16
8
16
0
16
16
16
1
0
1
1
1
0
2
5
1
0
16
0
0
16
16
8
16
16
0
0
24
8
0
0
0
4
0
0
16
16
16
1
1
0
2
18
16
16
16
16
16
0
0
0
0
0
0
16
16
16
0
8
0
0
0
8
8
16
2
4
0
8
0
16
8
4
4
0
1
1
4
0
16
8
8
0
0
0
0
0
0
8
1
0
9
28
0
0
0
0
0
0
0
0
8
2
2
2
16
16
16
8
0
0
2
5
8
20
0
4
0
0
1
1
2
8
2
2
2
1
1
1
1
1
0
4
5
0
16
16
16
16
16
0
0
4
0
0
8
8
8
9
0
4
0
0
0
8
16
16
16
16
0
0
49
49
16
0
0
8
0
0
0
1
1
1
4
8
8
16
0
0
0
16
16
16
16
16
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
8
8
24
16
16
0
0
12
0
8
8
53
53
1
1
0
8
1
2
0
0
8
16
0
0
0
16
0
0
16
16
24
0
0
4
0
0
0
0
0
0
8
8
8
8
8
0
4
4
0
0
2
1
0
0
0
2
0
0
16
0
0
1
8
1
1
1
0
24
0
0
0
0
0
16
8
8
8
8
8
0
0
8
8
24
24
0
0
0
0
0
0
0
0
16
16
0
0
2
2
16
0
1
0
0
0
0
16
16
2
8
0
0
0
0
2
2
0
0
16
8
8
16
0
0
1
1
8
8
8
0
0
10
0
0
0
8
0
8
8
4
0
8
17
17
0
8
8
16
16
8
8
8
2
0
0
0
8
12
8
8
8
0
16
8
0
8
16
16
0
14
2
2
0
0
0
0
0
0
0
8
8
0
16
1
2
0
0
8
8
8
0
0
0
0
32
32
16
16
16
16
16
0
8
16
16
8
8
4
0
0
8
8
16
0
1
1
1
0
8
8
8
0
0
8
0
0
8
8
8
8
0
3
1
0
0
0
0
0
0
0
0
0
0
0
0
0
3
3
3
0
0
28
28
28
16
16
16
0
16
16
0
2
2
2
2
16
16
16
16
16
1
8
0
8
8
8
0
0
0
16
0
0
8
0
16
16
16
0
4
4
4
24
24
24
16
16
0
0
0
0
0
0
0
0
0
8
8
8
10
8
0
0
0
4
0
0
2
1
8
0
8
0
0
0
8
8
8
0
0
0
2
24
1
9
0
8
0
8
8
0
16
9
9
28
0
16
8
0
0
0
0
0
0
0
0
8
8
0
0
16
0
16
0
8
16
16
0
4
4
4
4
17
1
0
2
0
0
16
16
0
4
4
4
4
0
0
0
16
16
8
0
10
10
8
8
8
0
0
0
16
0
26
26
16
0
29
20
20
20
2
0
0
0
0
8
8
2
0
0
0
4
4
0
0
1
0
0
0
16
16
16
17
17
17
17
2
8
1
0
8
16
16
0
24
0
0
0
0
12
2
0
0
8
8
8
0
0
16
0
8
8
0
0
8
0
0
32
2
8
8
8
16
16
16
0
3
0
0
0
16
16
16
16
0
16
32
0
0
0
16
0
0
16
8
16
8
0
0
0
24
0
0
0
8
16
0
0
0
0
0
24
24
24
0
0
8
8
0
2
0
0
0
0
16
0
0
0
16
0
33
33
8
8
0
0
8
12
12
0
0
8
8
0
0
0
8
0
0
1
53
0
0
1
0
0
0
8
8
8
8
8
8
8
8
8
8
0
0
0
0
16
16
0
0
0
4
12
4
4
0
0
4
8
8
21
28
8
0
16
32
32
32
32
32
32
0
4
0
0
0
0
16
0
0
0
0
2
0
8
8
4
4
8
25
0
0
0
0
0
0
0
1
16
4
0
0
16
16
8
16
16
16
20
16
0
16
6
0
24
16
0
0
8
0
0
8
0
1
1
1
8
0
0
2
16
0
4
16
16
9
0
0
0
16
16
16
16
16
0
0
0
0
8
8
1
1
1
1
16
8
8
8
0
8
8
8
0
0
24
12
12
0
32
4
4
4
0
0
1
24
24
4
16
16
0
16
16
8
0
0
0
8
10
8
36
32
8
16
32
16
3
3
3
3
0
0
9
1
0
0
16
16
16
0
2
2
2
2
2
2
0
0
21
1
1
32
32
0
0
0
24
16
16
8
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
16
16
16
0
9
16
0
10
10
16
4
4
4
8
0
0
0
0
0
0
0
20
0
24
24
24
8
0
0
0
2
2
10
2
24
8
8
8
16
16
16
0
0
0
16
0
2
16
0
0
16
0
1
0
0
16
0
0
1
0
0
16
4
4
4
16
4
2
0
24
0
8
8
0
2
16
4
0
0
0
0
0
8
0
0
0
0
16
16
8
0
16
16
0
8
8
8
0
0
4
8
0
0
8
1
1
1
1
1
0
0
0
0
8
0
0
0
0
1
1
0
4
0
0
8
0
8
8
0
4
1
1
0
24
24
0
0
0
0
0
0
1
8
0
0
0
16
16
16
0
0
8
0
0
8
8
0
10
5
4
4
40
40
40
2
0
0
0
8
0
0
0
0
8
8
2
2
8
8
8
8
8
16
16
16
0
8
0
1
0
8
40
40
8
8
8
16
0
18
1
1
0
58
8
0
0
0
8
8
4
2
2
8
1
1
8
8
8
17
0
0
16
0
5
5
0
0
0
0
60
0
0
16
0
0
8
0
8
8
8
0
0
16
0
8
0
8
1
0
0
0
0
8
0
8
8
2
16
16
16
8
0
0
0
0
32
8
20
0
2
2
2
0
1
0
8
0
0
16
0
0
1
1
0
12
32
8
0
0
0
17
17
17
8
8
8
8
16
16
4
4
0
4
1
8
0
8
8
8
2
2
2
2
0
0
8
0
8
8
8
1
8
4
4
4
9
0
0
0
16
0
32
0
0
0
16
0
0
0
8
8
8
16
16
16
16
0
4
4
4
16
16
16
16
0
0
0
25
4
5
6
8
16
16
0
0
0
8
8
8
32
8
8
8
8
0
0
0
16
12
0
0
16
1
0
0
0
2
0
0
0
0
4
0
1
1
0
0
0
0
0
0
0
0
0
8
8
0
32
0
8
0
0
0
0
0
16
4
16
16
0
16
16
16
8
8
0
8
8
0
0
0
0
1
0
0
0
0
0
0
0
0
26
0
32
8
0
16
8
0
0
0
8
16
0
0
0
0
0
0
0
0
0
0
8
16
16
20
0
0
0
0
16
32
0
8
8
8
8
8
8
0
0
0
0
0
0
8
8
16
8
0
8
8
8
8
40
40
0
0
0
32
8
8
0
0
8
16
16
0
0
16
8
8
8
4
4
8
8
0
8
0
1
1
0
8
4
0
0
0
8
1
0
0
0
0
0
12
12
8
16
16
0
12
0
0
20
20
0
0
8
8
8
8
4
0
0
0
8
8
16
4
4
0
0
0
0
0
4
0
12
8
19
19
19
22
0
8
16
16
0
0
8
0
0
56
0
0
1
1
8
8
8
8
0
0
4
8
0
0
0
0
16
16
16
16
24
0
0
0
8
1
0
1
0
8
8
32
8
8
8
1
0
8
4
0
0
20
20
20
8
8
4
8
0
16
8
0
0
8
0
16
9
0
0
0
0
1
1
1
8
0
0
0
0
0
8
8
8
4
4
4
4
4
4
4
0
0
0
0
32
32
0
1
0
8
8
10
0
8
0
0
0
0
0
40
40
40
0
4
8
8
4
0
16
16
0
2
0
0
16
0
8
4
8
33
33
0
4
0
0
0
4
4
0
0
0
0
0
0
0
2
43
32
32
32
32
0
0
4
0
0
26
8
0
0
2
2
2
2
0
0
0
0
0
0
8
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
8
0
0
16
8
24
24
0
0
0
0
0
0
8
0
0
16
8
8
8
33
0
0
0
0
0
0
0
0
12
12
12
8
0
0
0
0
16
0
0
0
8
8
8
8
16
8
0
24
8
16
0
0
0
0
0
0
16
16
4
8
8
8
16
0
0
16
16
16
16
0
0
16
32
32
16
16
16
16
16
1
4
6
8
8
17
17
4
8
8
8
16
8
0
2
0
0
3
8
8
8
8
8
8
8
0
0
4
4
4
8
8
0
0
0
0
0
4
8
0
0
0
25
3
3
0
8
20
0
0
0
4
0
0
0
8
8
8
8
8
0
12
16
2
2
0
16
0
4
4
4
0
0
25
0
0
0
4
8
16
0
0
8
0
0
0
0
16
0
0
0
0
2
2
2
2
2
2
0
2
0
8
8
0
0
0
0
8
8
1
0
2
0
0
16
18
8
8
16
4
4
25
17
17
2
0
0
0
0
32
32
16
0
0
0
8
8
8
8
8
8
8
8
17
17
0
1
1
1
4
0
1
0
0
8
8
8
8
0
2
16
16
16
0
0
0
16
12
0
0
0
16
0
8
16
8
0
0
0
0
0
0
0
0
18
18
0
8
8
16
0
0
16
16
16
0
16
8
0
18
18
28
2
0
30
8
4
4
4
8
0
8
16
0
8
8
8
32
2
4
3
10
8
8
16
0
16
0
0
0
8
8
0
0
36
0
0
0
24
2
0
0
32
32
32
32
8
8
8
8
0
4
4
0
24
24
24
24
24
24
24
24
16
4
4
4
4
0
0
8
4
4
4
0
0
21
21
8
8
24
20
20
8
2
0
0
0
16
18
9
0
8
8
16
1
32
21
2
0
0
0
2
1
1
1
8
16
20
20
33
2
2
2
27
9
9
0
0
8
8
1
0
0
0
0
0
0
8
8
0
12
8
16
4
16
16
0
0
0
0
8
8
16
16
0
0
8
8
8
8
24
0
0
0
16
8
8
4
1
1
1
1
0
0
24
8
8
8
8
0
0
0
0
0
0
1
32
0
0
6
6
0
9
8
9
0
32
0
0
8
8
6
1
1
0
0
0
0
8
30
0
8
16
32
32
32
8
1
1
24
24
8
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
2
0
0
0
0
40
8
8
0
4
4
4
0
1
1
1
4
0
40
0
0
16
8
0
0
0
0
0
0
0
16
16
0
0
8
8
16
16
16
16
16
0
16
1
0
16
0
0
36
17
17
17
8
8
1
8
8
8
0
0
8
8
0
0
0
16
0
0
0
0
24
16
18
8
8
8
16
16
2
0
0
0
0
0
16
0
0
0
8
0
0
0
0
16
8
8
8
0
0
1
3
8
8
8
8
1
40
0
0
0
0
0
0
0
0
0
8
8
8
0
2
0
4
4
4
4
16
16
24
24
16
16
0
0
2
8
16
24
8
0
2
0
0
0
0
0
0
8
0
8
4
4
0
4
4
0
24
18
0
0
0
0
8
8
8
0
4
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
16
0
0
0
4
1
0
0
8
2
36
16
16
16
0
0
16
16
16
0
4
8
0
0
0
0
8
8
4
0
0
0
4
0
4
0
8
1
0
30
2
2
8
8
34
0
0
0
4
4
8
8
0
0
0
0
8
12
0
40
0
0
0
16
16
0
0
0
0
0
1
0
8
8
8
8
16
0
0
4
0
8
8
8
5
5
5
0
0
0
16
16
16
16
8
0
0
0
8
8
0
9
8
8
8
8
4
56
40
4
4
4
16
16
16
16
0
0
0
0
0
0
0
0
1
1
20
16
16
16
16
0
0
8
0
0
24
0
8
24
2
1
1
0
18
0
0
0
16
16
41
41
0
0
1
1
1
0
0
0
34
34
0
3
3
8
8
0
0
8
8
8
8
0
0
8
8
0
0
8
2
0
8
0
0
0
0
0
0
0
0
0
0
12
12
0
4
0
0
16
16
16
16
16
2
2
4
4
8
0
0
0
0
0
0
0
8
0
0
0
32
32
0
0
0
33
10
16
16
0
0
8
8
8
4
10
10
16
8
9
8
8
0
0
0
16
8
8
8
8
0
4
4
0
0
0
0
0
0
0
16
16
1
0
8
8
8
8
1
4
4
4
4
8
0
1
0
8
0
0
0
0
1
1
0
0
0
24
0
16
16
16
16
16
16
0
0
8
8
0
1
0
0
0
4
4
4
0
0
0
0
0
0
8
0
1
1
1
1
0
0
8
0
0
4
0
0
16
0
8
8
0
0
0
8
13
8
0
12
12
0
0
8
11
0
0
16
48
16
0
0
0
0
16
16
16
8
24
0
0
0
0
8
8
0
0
8
8
8
0
0
0
20
4
0
0
0
0
8
0
0
0
0
1
4
0
0
0
0
0
16
0
0
2
1
1
1
8
8
0
0
8
8
8
0
16
16
16
16
5
0
0
0
0
0
0
8
8
8
0
8
8
1
0
0
0
16
16
8
2
0
0
8
8
8
8
16
0
0
24
0
0
8
2
4
4
4
16
16
16
16
4
4
4
4
0
0
10
4
8
0
16
8
8
8
8
0
0
24
0
4
4
4
0
8
8
8
4
4
2
8
8
8
32
8
8
8
6
0
13
36
0
0
16
0
0
0
8
8
8
8
8
0
16
4
4
0
0
0
0
0
0
0
0
32
0
8
8
8
4
6
6
6
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
16
8
8
24
8
8
0
0
16
16
16
16
0
0
0
0
1
8
0
0
0
16
0
0
8
8
8
4
4
16
16
0
0
0
0
8
31
8
12
16
0
0
6
6
8
8
8
16
40
40
8
11
11
4
0
16
16
8
0
8
16
16
0
0
0
0
16
0
0
0
8
8
32
18
0
0
0
0
0
20
16
16
0
0
0
0
0
0
16
16
0
16
16
16
0
8
20
0
8
16
16
0
0
0
0
0
8
1
0
0
8
0
1
8
0
16
0
0
2
1
1
8
8
0
1
0
8
0
0
0
16
20
8
16
16
4
60
0
16
16
9
9
32
32
32
1
8
0
0
16
0
0
16
1
0
0
8
8
8
0
0
0
16
0
8
32
0
16
0
16
16
16
16
16
16
16
8
0
9
9
0
0
0
0
4
0
0
0
0
0
11
8
0
0
1
1
16
16
16
16
0
0
0
0
0
16
4
17
24
16
16
16
16
4
4
0
16
16
16
16
16
16
16
0
0
0
0
8
16
16
4
0
0
8
8
8
0
32
0
18
1
0
8
0
4
0
0
0
8
16
0
8
8
0
8
8
8
8
0
0
0
0
0
8
16
32
0
16
0
0
0
0
2
0
28
0
0
8
0
0
1
0
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
3
0
0
0
0
0
0
2
20
0
8
24
8
0
1
0
16
24
16
0
12
0
8
8
8
8
8
8
8
8
8
8
0
32
8
8
8
8
0
8
0
8
0
0
8
16
16
0
0
0
0
0
16
0
16
2
0
16
16
16
16
16
16
16
8
1
8
0
0
8
0
0
0
16
8
8
0
0
0
8
8
4
0
0
0
0
0
0
2
2
0
0
16
24
0
48
1
1
16
16
17
17
0
26
26
16
4
24
16
16
0
0
16
0
0
0
0
0
0
0
0
0
16
0
8
1
0
1
8
8
0
8
8
0
0
0
0
0
11
16
16
16
16
16
16
8
6
2
2
0
0
0
0
0
8
8
8
8
0
2
0
0
32
16
0
10
0
8
10
0
4
4
4
8
8
16
0
8
0
0
0
16
16
16
16
16
24
16
16
0
0
1
1
40
40
40
0
0
0
6
0
0
8
8
8
8
56
8
8
0
0
18
16
16
16
16
16
8
1
41
8
8
0
0
1
16
0
0
0
8
1
2
2
0
1
2
16
0
0
16
16
16
16
16
16
32
0
2
8
16
0
16
4
8
8
8
0
8
8
8
0
0
16
16
16
16
16
0
0
8
8
8
8
8
0
0
0
0
0
0
0
8
16
33
33
0
0
16
32
4
1
0
8
8
4
4
0
16
12
8
0
0
0
0
0
0
0
2
2
0
8
8
16
16
0
0
0
0
0
0
12
12
16
1
1
0
0
0
0
0
20
20
1
16
16
8
16
16
16
4
4
4
34
34
16
8
0
17
4
0
0
0
0
0
8
12
8
8
8
8
8
8
0
2
16
16
16
0
0
0
16
0
0
0
16
16
0
0
0
16
0
8
12
4
8
24
0
24
24
0
0
0
0
0
0
4
0
34
20
0
0
0
0
0
0
0
0
0
0
0
16
32
32
32
0
0
8
16
16
16
16
0
0
0
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
0
24
24
0
0
0
0
19
32
16
16
16
0
0
0
2
2
4
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
8
1
0
0
24
0
0
0
0
16
0
0
1
9
9
8
8
8
8
8
0
0
0
4
4
4
0
8
8
0
1
16
4
0
0
0
0
16
44
44
44
44
8
16
0
0
0
16
24
24
0
0
16
16
8
8
0
0
8
8
8
32
0
8
0
0
0
0
0
0
8
0
16
16
2
24
8
0
0
0
0
16
16
0
8
8
0
0
16
16
16
16
0
8
8
8
8
8
8
0
0
0
20
16
16
16
0
32
8
1
0
16
16
16
0
0
0
0
0
24
24
0
0
16
16
1
1
1
8
8
8
24
0
0
0
8
8
0
20
16
0
0
0
0
32
4
0
0
1
0
0
0
16
16
16
16
8
1
16
16
0
16
16
0
0
0
8
0
0
0
0
16
16
8
8
8
0
0
0
8
8
8
1
1
1
0
0
56
56
8
8
0
0
1
1
1
2
5
5
16
16
16
16
8
0
16
16
16
16
0
0
0
8
0
8
8
8
8
0
1
1
1
0
0
0
8
4
4
2
0
1
8
0
0
8
8
0
0
0
8
16
16
16
16
16
16
16
16
0
1
1
0
1
0
0
0
0
0
0
0
8
8
0
0
0
16
16
0
8
8
0
0
0
0
0
0
0
0
16
16
16
4
0
0
0
0
0
4
8
8
8
0
0
0
16
8
8
0
24
4
0
0
20
20
0
0
0
0
0
0
2
8
0
0
0
16
16
5
52
0
0
0
0
16
16
0
8
8
8
0
16
16
8
16
0
4
4
16
0
8
8
0
0
1
0
0
0
0
4
12
0
0
1
1
0
26
8
0
0
0
0
16
16
24
24
16
16
24
8
0
0
0
0
0
8
8
8
8
8
8
0
0
9
9
0
4
8
0
0
0
0
0
0
2
0
0
0
8
0
0
8
24
24
1
1
0
0
0
0
0
8
0
0
0
40
40
40
24
4
8
16
16
8
0
8
8
2
3
0
0
0
0
0
8
0
0
34
16
0
0
10
8
0
16
16
0
0
4
0
0
8
48
0
8
0
0
0
8
0
8
0
8
8
0
0
0
2
0
0
0
0
4
4
0
1
18
32
32
32
8
16
16
0
8
0
0
0
8
4
4
2
2
2
2
9
24
24
8
26
0
0
17
16
16
24
24
0
8
0
0
0
0
0
2
10
0
0
8
8
8
0
0
2
8
0
2
2
0
0
0
0
16
16
8
0
0
0
1
0
8
8
0
0
0
16
16
16
16
5
1
1
1
1
0
0
8
8
1
16
16
0
0
0
0
26
10
1
0
0
0
0
0
8
4
4
4
0
8
0
0
0
16
0
4
4
0
0
0
4
8
0
0
4
0
0
0
0
8
0
0
0
0
0
32
0
0
0
0
0
8
24
8
24
4
0
0
0
0
0
0
8
8
8
0
16
0
0
8
24
17
16
16
16
0
0
16
8
8
8
0
0
0
4
4
0
0
0
4
0
0
2
2
2
0
0
12
12
8
0
2
0
0
8
8
8
8
0
18
0
8
0
4
0
0
4
0
8
56
16
16
16
16
16
16
8
8
8
8
12
0
1
1
8
0
8
8
8
0
0
0
8
0
0
0
0
8
8
8
8
8
8
0
0
0
8
8
0
0
0
0
8
4
0
8
8
0
0
0
4
4
16
16
16
16
0
56
0
0
8
8
60
4
16
0
0
0
16
8
0
8
8
8
16
2
0
0
0
0
0
0
0
0
0
1
1
1
1
8
8
8
4
4
16
8
12
0
0
2
1
8
8
25
8
8
8
2
2
2
2
4
4
8
0
25
16
16
16
16
0
8
8
8
8
8
8
8
0
0
0
0
0
0
0
4
8
8
0
0
0
8
16
16
16
18
18
18
0
0
1
16
16
8
8
8
8
0
0
0
8
24
0
16
16
16
0
0
0
0
0
0
0
0
0
36
0
2
2
0
0
0
0
12
12
0
0
0
0
16
0
16
0
16
0
18
18
0
4
0
0
0
16
8
1
0
0
8
8
8
8
25
8
24
0
0
0
0
1
8
0
4
32
4
0
0
0
0
0
8
24
0
0
0
16
0
0
24
24
0
8
8
0
0
0
17
17
27
0
32
32
0
4
2
4
0
10
1
1
0
0
1
0
16
0
24
24
24
24
0
0
8
8
24
8
0
0
0
0
0
0
8
16
16
16
16
16
16
0
0
16
2
2
8
2
0
0
0
16
0
0
0
0
16
6
0
0
0
16
16
16
0
16
0
0
0
16
0
8
0
0
0
8
12
0
16
16
16
16
8
8
2
16
16
2
0
0
16
16
16
24
0
0
8
8
32
5
16
0
8
4
4
4
16
16
16
16
18
0
16
24
0
4
0
0
0
0
0
0
0
0
0
16
0
0
24
16
0
0
0
0
20
0
8
8
0
16
4
0
0
0
2
8
0
0
12
12
12
8
0
16
16
16
16
16
0
16
8
2
2
8
0
0
4
8
8
8
0
4
4
4
2
0
3
3
16
8
0
0
1
0
0
16
16
34
2
16
16
16
8
2
2
2
16
0
0
0
8
8
8
0
0
0
0
4
16
4
8
2
8
1
1
1
0
0
16
16
16
16
16
16
4
8
1
1
0
0
16
8
4
8
8
0
0
16
16
16
8
0
0
0
0
8
8
0
1
0
0
8
8
8
8
8
24
8
0
0
6
6
40
4
8
0
0
0
8
6
6
0
0
17
16
8
0
0
0
0
0
32
0
0
0
20
0
16
0
0
0
16
2
18
18
17
17
17
17
16
16
16
16
0
1
16
8
16
2
2
0
8
8
16
24
0
8
8
24
24
0
0
16
16
32
0
16
16
16
16
16
0
8
20
0
0
16
8
0
16
0
0
8
2
2
0
8
4
0
0
8
0
0
0
0
0
0
16
16
16
16
16
0
8
8
0
0
0
0
0
32
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
44
0
0
0
0
0
0
0
0
0
24
24
1
1
0
0
4
4
4
8
8
8
16
16
16
0
16
0
0
16
0
4
0
8
40
5
5
0
0
8
8
8
0
8
0
24
24
0
0
0
0
1
1
1
16
8
0
0
0
0
42
32
0
0
0
0
16
16
16
8
8
8
8
14
8
0
8
32
1
0
8
8
8
16
8
16
16
16
1
1
48
48
0
0
0
8
2
16
0
16
16
16
0
50
16
16
0
0
16
0
0
0
0
24
0
32
8
8
8
8
16
16
0
0
8
16
16
4
1
8
17
0
0
0
0
0
0
16
0
0
1
1
0
0
0
0
0
0
8
0
0
32
0
0
8
8
0
8
2
2
2
3
0
0
0
12
16
0
0
0
0
0
8
8
8
32
32
0
0
0
0
16
16
0
0
8
28
28
0
8
8
0
8
0
0
1
1
8
8
8
16
16
16
0
16
8
8
8
9
16
16
0
0
8
16
4
8
8
8
0
8
8
0
16
16
16
9
0
17
1
16
4
4
0
0
0
32
32
32
2
2
0
1
1
0
0
8
0
0
0
0
0
0
0
20
20
1
1
8
0
0
0
4
4
2
1
0
8
1
1
0
0
24
16
0
0
0
0
0
0
0
6
6
8
0
2
0
8
0
0
0
8
8
32
0
0
8
0
0
0
8
8
10
2
0
0
8
8
4
4
4
4
4
0
0
0
0
0
0
0
0
8
0
0
4
0
8
8
8
16
16
2
0
0
16
0
0
0
16
8
8
8
0
0
0
24
0
0
24
8
8
4
0
2
0
0
0
2
0
0
0
1
8
8
1
8
4
4
0
0
0
0
0
0
8
8
16
16
0
8
8
0
0
8
8
0
0
0
0
4
4
4
0
0
0
0
0
0
0
0
0
0
2
0
0
1
0
0
0
8
8
0
0
0
0
0
8
0
0
0
20
20
0
11
11
11
8
8
0
4
8
8
8
8
0
0
8
8
8
8
8
8
0
0
0
8
8
8
8
8
8
0
0
0
0
0
20
20
20
20
20
20
20
20
20
20
20
20
20
16
8
0
0
0
40
26
26
16
0
2
2
0
1
0
0
0
0
0
0
17
0
0
8
8
8
8
0
8
8
0
2
2
2
0
0
61
16
16
0
0
0
0
8
8
0
4
4
4
4
4
4
0
0
0
1
4
4
4
8
8
8
0
0
4
0
0
8
8
0
4
8
8
8
8
16
4
0
0
0
0
16
16
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
16
0
8
8
4
0
8
8
0
8
16
16
16
40
40
4
0
8
8
8
8
0
8
0
16
16
16
16
16
24
4
1
6
8
0
0
16
2
4
4
0
0
16
0
8
8
8
24
14
0
8
0
16
0
16
0
8
0
0
8
8
0
8
18
16
16
16
16
16
16
32
0
16
0
0
25
25
0
0
0
0
0
0
0
0
24
24
24
0
20
0
0
24
24
16
16
25
2
0
0
0
8
24
0
1
1
16
0
8
0
8
8
8
24
24
8
8
16
17
40
40
40
40
1
8
0
0
8
0
0
0
0
0
0
0
16
0
0
0
0
16
16
32
32
1
16
0
8
16
0
0
0
24
0
0
8
0
0
0
8
8
8
0
0
0
0
8
8
8
0
8
32
32
8
8
8
0
0
0
8
0
4
4
0
0
2
16
16
16
16
6
6
16
16
16
8
8
0
0
0
10
10
2
0
16
24
24
8
8
16
16
16
0
0
1
0
16
0
16
0
16
16
16
16
16
18
16
16
4
4
4
0
8
0
0
0
8
0
24
0
0
0
2
0
8
8
0
0
0
8
0
8
0
0
0
0
0
8
8
0
0
0
0
16
4
4
48
16
4
8
0
0
2
2
2
2
0
0
20
20
0
16
16
8
8
0
0
0
0
16
0
0
33
0
32
16
0
1
1
0
0
0
4
2
0
8
8
0
0
0
0
1
5
16
2
4
4
0
0
0
0
0
0
0
0
0
0
0
0
40
16
16
16
16
16
16
4
4
4
4
8
8
0
0
52
52
52
16
16
16
0
10
2
0
0
0
17
19
0
1
18
8
8
0
8
8
0
0
0
2
0
0
16
16
16
0
0
0
8
8
8
16
0
8
0
0
0
4
4
24
8
0
16
16
16
8
8
0
0
8
8
8
10
10
0
0
0
16
0
4
0
4
10
4
0
0
0
0
0
24
16
0
8
8
8
8
0
52
0
24
24
0
4
8
8
8
1
0
0
1
8
16
5
0
0
0
0
0
0
16
16
1
16
16
0
0
8
0
16
0
0
16
0
16
8
8
0
0
8
0
0
0
0
4
0
8
8
12
16
0
4
4
1
4
8
18
24
0
0
8
8
8
16
0
0
0
0
4
0
25
25
1
8
8
1
16
16
16
40
40
40
58
0
12
12
8
1
8
17
16
16
16
0
8
0
0
0
0
0
0
8
20
20
2
2
8
16
16
2
0
0
0
16
16
16
16
16
16
16
16
0
0
4
8
16
16
16
0
0
8
20
0
9
0
0
8
12
0
8
16
16
16
0
2
8
8
8
3
3
3
24
0
3
16
18
8
8
0
8
8
0
16
0
8
16
1
1
16
0
4
8
0
4
4
0
0
8
0
11
0
0
8
8
0
16
8
8
0
0
0
8
1
8
0
8
0
4
4
16
8
24
8
0
33
33
24
8
8
8
8
8
40
4
0
0
0
32
32
32
4
16
16
16
0
0
0
0
16
8
8
8
12
12
16
0
2
16
8
8
8
8
8
8
8
8
0
8
8
8
16
16
0
0
0
0
0
0
4
0
0
0
0
8
0
1
8
16
1
8
8
0
0
0
8
8
8
9
8
0
0
0
20
0
8
0
8
2
2
0
24
24
24
3
4
0
0
8
8
8
8
8
0
0
0
0
0
0
0
8
0
0
0
0
8
0
0
16
2
4
16
0
0
9
9
9
9
0
16
20
20
60
0
0
16
8
0
0
0
0
2
2
24
16
24
24
16
0
8
8
8
4
4
0
16
16
0
16
4
0
0
0
0
0
0
0
1
1
0
8
8
11
3
32
16
16
8
4
0
0
0
16
16
16
16
8
8
8
8
0
0
0
0
0
0
44
8
8
8
0
0
0
0
0
0
1
0
0
0
0
8
8
8
8
18
8
8
8
8
8
0
24
24
0
0
16
16
0
8
8
24
8
0
0
0
0
0
0
0
0
0
0
26
16
4
4
16
0
8
16
0
0
0
16
16
16
8
8
0
8
24
0
16
16
0
26
24
0
0
0
1
0
0
16
2
4
4
2
2
2
1
1
16
0
0
0
0
16
0
0
10
8
8
2
0
0
0
0
0
10
2
2
0
1
1
1
1
8
0
32
0
0
0
0
8
0
0
8
0
0
0
8
8
0
0
52
52
0
1
8
24
2
8
8
8
8
9
10
0
0
0
0
1
16
16
16
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
4
24
2
2
8
8
0
0
0
10
10
1
0
0
8
8
16
16
1
8
8
8
16
0
0
0
21
0
0
0
0
0
48
0
0
0
1
4
0
16
4
0
8
8
8
0
8
8
32
0
16
16
0
0
0
0
1
0
0
0
0
8
8
32
0
0
0
8
8
0
1
8
0
0
0
8
8
2
16
2
2
1
0
0
0
8
18
0
0
0
0
0
0
16
0
0
0
2
0
0
0
0
0
0
16
0
0
16
8
8
0
0
2
2
0
0
1
0
0
0
0
2
16
16
0
0
0
0
0
0
0
0
0
0
20
20
20
20
0
8
0
0
0
0
0
0
0
0
0
0
0
8
0
4
16
8
16
16
0
0
0
0
0
0
8
12
0
0
16
0
8
36
16
0
0
8
0
0
16
4
0
0
0
16
1
0
0
16
16
0
0
8
0
32
32
32
0
26
26
16
8
8
0
0
0
0
1
1
16
16
16
0
0
0
0
0
8
0
16
0
0
0
0
0
32
8
8
0
0
32
32
32
8
2
16
29
0
1
1
1
0
0
0
0
0
16
16
16
16
0
16
0
0
0
8
8
16
8
8
8
8
8
0
0
0
0
9
0
16
8
8
0
8
0
0
1
8
8
8
8
8
0
0
0
0
0
4
4
0
4
8
8
3
16
18
0
8
0
16
16
0
8
8
8
8
8
8
4
8
8
2
0
0
0
8
0
0
0
0
0
8
12
4
6
8
24
8
8
0
0
0
16
0
0
0
0
16
1
8
0
0
0
0
9
9
0
0
0
4
4
0
8
8
0
8
8
16
0
0
0
2
0
8
8
8
0
8
0
0
0
8
16
0
0
0
0
0
0
8
8
6
0
8
8
0
2
2
0
0
0
20
0
8
4
8
8
8
8
9
12
0
0
0
0
16
8
8
0
0
32
8
1
0
0
0
8
0
0
0
0
48
0
9
0
8
8
8
17
17
21
54
0
0
0
0
2
1
16
0
16
0
0
8
8
0
0
0
0
2
0
8
24
24
0
0
0
0
8
0
0
0
0
0
0
0
4
4
8
8
8
8
16
16
1
1
19
0
0
0
0
0
32
8
4
1
1
0
8
16
16
8
16
16
8
8
16
16
0
0
0
8
0
8
8
8
0
0
8
2
0
16
16
16
4
8
0
0
8
0
0
8
16
16
24
24
8
8
8
0
4
4
4
8
4
4
4
0
16
8
8
0
8
8
8
0
8
4
1
8
38
0
4
8
0
0
8
0
0
0
0
0
0
0
0
0
8
8
0
8
0
0
0
0
0
0
0
0
16
16
8
1
1
1
16
8
4
4
4
16
8
8
0
0
16
8
0
4
4
16
0
0
0
0
1
0
0
0
16
16
8
8
16
1
1
1
1
16
16
16
1
1
3
0
0
0
8
8
0
0
1
1
8
0
0
0
0
16
16
0
0
0
0
8
0
8
8
1
1
6
6
8
20
8
8
8
8
1
1
16
8
0
16
16
8
0
4
4
4
0
16
16
0
0
16
8
0
0
16
16
16
16
16
16
8
16
16
16
16
8
8
8
0
16
16
0
0
0
0
16
0
1
1
16
0
0
16
16
16
0
0
8
1
1
12
4
4
1
1
4
32
8
8
2
2
2
2
0
0
0
0
0
9
16
0
16
16
16
0
8
8
8
1
8
4
4
0
2
8
0
0
0
0
0
0
16
0
0
17
0
0
0
16
8
0
2
8
8
8
8
8
24
0
0
0
0
4
4
4
0
0
0
0
4
0
16
0
8
16
29
0
0
8
8
0
1
1
1
1
1
0
16
12
0
0
0
8
16
4
0
16
2
2
2
16
32
0
0
0
16
32
0
0
4
4
8
8
0
16
0
8
0
16
8
1
16
0
0
0
18
0
0
8
9
0
0
0
0
0
16
8
8
16
8
8
0
1
8
16
8
16
4
4
4
8
8
0
0
0
0
0
24
24
24
24
24
16
8
16
16
16
16
8
8
8
8
1
38
1
2
0
0
0
0
0
0
12
0
0
0
0
30
30
30
8
0
0
0
0
16
18
8
0
0
0
0
16
16
16
0
8
8
0
20
16
16
16
2
0
4
4
8
8
0
1
8
16
0
0
8
8
4
4
0
19
24
2
1
1
8
16
0
0
4
4
4
0
8
8
1
8
8
0
0
4
16
4
8
8
0
16
16
16
0
8
0
4
16
0
4
8
24
24
8
16
16
16
3
3
3
16
16
16
0
0
32
4
0
0
8
8
0
8
0
0
8
24
24
20
17
0
0
1
1
0
0
8
8
4
1
1
0
0
0
0
16
16
16
40
0
0
0
16
8
16
24
8
24
24
24
24
8
8
0
8
8
16
16
0
5
1
1
17
8
8
8
8
0
0
0
0
4
0
0
16
0
0
0
0
0
4
4
4
0
0
0
0
0
0
0
0
16
16
8
8
0
0
32
32
2
2
2
2
0
0
16
0
8
8
16
0
0
0
0
0
0
1
33
1
0
0
0
16
0
2
16
0
0
16
16
8
0
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
17
17
0
17
0
8
16
1
1
8
16
16
16
16
0
0
4
4
4
4
40
16
8
8
8
8
8
8
0
0
8
0
0
0
16
16
16
0
0
0
0
16
8
44
32
2
1
1
0
0
0
0
4
0
0
2
2
2
2
0
8
8
8
8
8
0
0
0
0
0
3
16
8
16
0
0
0
16
16
16
8
8
0
8
4
0
8
0
0
8
8
4
4
8
0
0
0
5
5
8
8
0
1
0
16
0
0
0
0
0
0
8
0
0
0
0
0
16
0
0
0
16
16
8
0
16
16
0
8
8
0
0
17
8
0
0
0
0
0
0
27
27
9
9
32
0
16
16
0
0
1
1
0
0
4
4
1
0
8
8
8
16
16
1
8
8
0
0
8
0
17
0
0
8
8
8
8
8
26
0
8
17
16
28
0
0
0
0
8
8
8
0
16
0
0
0
18
18
18
8
48
0
16
0
20
0
21
0
8
8
0
0
8
8
0
0
0
16
16
16
16
0
8
8
0
0
0
0
0
0
0
16
4
4
0
16
0
0
0
0
4
4
4
0
16
16
0
8
0
0
0
0
48
0
8
0
0
0
8
8
16
1
2
4
0
8
8
16
4
16
16
8
0
4
0
0
53
0
0
0
0
0
8
8
2
2
8
8
16
16
0
0
0
28
0
0
24
16
4
0
4
4
4
4
8
0
0
8
8
8
0
16
16
16
16
16
0
0
0
0
1
0
0
0
24
8
8
8
1
1
0
0
0
0
0
0
0
0
0
32
8
16
16
0
8
8
8
8
8
8
16
2
2
1
1
1
0
0
0
20
8
0
0
0
4
4
3
3
0
0
0
0
8
0
0
0
0
8
0
32
40
8
4
0
0
0
0
0
0
18
18
16
0
1
0
8
0
0
0
4
4
16
8
1
0
8
8
8
0
16
40
40
0
0
1
1
1
0
0
8
8
0
0
0
8
0
0
24
0
0
0
0
0
0
0
0
0
0
0
0
0
0
40
40
40
16
16
16
16
4
24
24
0
0
16
16
1
1
16
16
0
0
0
8
8
8
8
8
0
0
0
40
0
0
16
16
16
0
0
0
16
0
8
0
0
28
28
28
8
8
10
2
8
8
8
0
2
2
2
0
8
8
8
17
0
8
0
0
8
8
8
1
16
0
0
16
20
4
8
1
1
1
1
1
8
2
2
8
8
1
8
8
0
0
24
0
16
3
3
0
32
0
1
0
16
4
44
0
0
8
24
0
0
8
0
1
16
1
0
0
0
8
16
8
8
8
0
0
18
18
16
0
0
0
0
8
0
0
0
0
0
8
8
0
0
2
2
2
16
4
8
32
32
16
16
8
8
0
8
2
0
0
0
1
16
16
16
16
28
0
0
0
2
0
0
0
0
16
16
1
0
0
48
17
17
16
0
0
0
0
0
16
16
0
2
8
16
16
0
8
8
26
8
8
16
16
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
12
4
24
16
16
16
8
8
4
0
0
16
16
12
12
12
8
0
0
10
10
10
0
1
16
28
24
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
8
16
16
16
16
0
0
0
16
16
0
0
0
8
0
2
0
1
0
17
16
1
12
4
0
0
4
0
8
8
8
0
16
0
0
4
4
4
4
4
8
0
0
0
16
0
0
16
0
8
8
0
0
0
0
0
0
2
0
1
16
1
1
12
0
0
24
0
16
0
0
0
0
0
18
0
16
18
0
0
20
20
16
1
8
4
1
20
20
0
0
0
16
16
8
8
8
8
8
0
0
0
0
1
1
33
33
33
33
0
0
0
8
6
6
4
0
26
0
0
2
2
16
16
16
8
8
1
1
18
18
0
0
0
0
0
24
8
4
32
32
0
0
0
4
8
1
0
0
1
8
8
8
0
0
0
8
8
3
3
20
20
20
1
8
8
8
0
0
8
8
8
8
8
1
58
0
0
8
0
8
0
0
16
4
16
16
0
0
0
0
0
0
8
4
4
4
4
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
32
0
0
0
0
0
0
1
0
0
0
0
0
0
5
0
0
0
16
33
12
12
12
12
1
16
0
0
16
16
16
16
16
16
0
0
16
4
0
16
16
20
0
0
0
16
16
16
4
4
2
4
8
0
0
0
8
0
1
0
0
0
0
0
0
0
0
8
0
1
9
16
3
0
0
4
1
0
0
0
24
8
0
0
11
8
0
8
0
0
0
0
16
0
0
0
16
8
8
8
0
4
8
8
8
8
0
16
18
9
56
32
16
0
0
16
32
8
8
8
8
16
8
8
0
25
0
0
8
8
8
8
0
0
0
0
1
16
16
8
9
16
16
33
33
0
0
16
17
17
2
2
2
0
8
0
8
0
0
0
0
1
8
0
16
16
4
1
1
0
0
0
0
8
8
48
0
0
0
8
8
17
16
16
16
48
48
0
0
0
0
0
16
16
0
16
16
0
8
26
0
0
8
0
24
4
8
8
0
2
0
4
4
24
32
32
32
0
16
16
16
8
0
0
0
0
2
2
2
2
6
6
16
16
0
8
0
16
16
0
0
0
0
0
0
8
0
1
4
0
0
0
16
0
1
1
1
0
12
12
0
16
48
4
16
16
8
0
0
16
0
0
8
8
8
8
8
40
40
0
0
0
16
16
0
0
8
8
16
16
18
18
0
0
0
0
16
4
4
8
0
16
0
0
16
8
0
0
0
9
9
2
8
16
8
4
8
8
0
0
0
0
8
8
16
0
0
0
1
16
0
2
16
16
16
16
24
0
0
0
8
50
0
0
4
8
16
0
2
0
16
4
8
8
8
8
8
8
8
8
0
16
16
16
16
16
16
4
0
16
4
24
24
16
0
0
0
0
0
0
0
16
16
16
16
16
4
2
2
2
2
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
8
2
2
4
32
32
32
44
44
8
0
0
0
1
0
16
52
4
8
0
40
40
40
40
40
0
0
0
0
16
16
16
16
16
0
0
8
8
1
1
0
24
24
2
8
8
0
0
0
0
0
8
0
16
0
0
0
0
0
0
4
0
0
0
0
0
16
8
0
0
0
0
25
8
4
8
8
8
8
32
32
32
32
8
5
0
0
0
0
0
32
8
0
0
0
0
0
16
0
0
0
0
8
8
0
32
32
0
8
16
16
0
16
0
16
16
16
4
4
4
2
2
2
2
2
0
0
19
17
1
0
8
0
16
0
4
0
0
8
16
0
8
8
8
2
8
0
0
0
0
0
1
1
0
4
0
0
0
0
8
8
8
8
0
8
0
8
0
0
0
0
16
16
16
8
0
0
2
8
0
0
8
8
24
0
0
0
1
1
0
8
1
1
0
12
12
0
0
0
2
1
1
8
0
0
16
16
16
0
0
0
8
16
16
16
2
32
0
0
16
16
8
8
0
8
8
16
16
16
16
0
44
44
13
4
0
0
1
24
0
6
0
16
16
16
16
1
1
16
0
16
2
2
0
0
16
8
4
0
2
8
8
8
16
0
16
16
16
0
16
0
8
8
16
24
0
0
8
0
38
38
38
8
8
8
1
1
1
32
4
4
8
8
8
1
0
0
4
0
0
8
0
1
1
1
0
0
0
0
16
0
0
8
8
0
0
0
0
16
16
17
17
8
8
0
16
16
0
0
16
24
0
0
4
4
0
8
8
8
16
16
1
1
1
1
1
1
0
0
0
16
8
0
0
0
2
2
8
19
0
0
0
0
8
16
2
2
2
2
2
0
16
4
8
16
16
0
48
16
16
16
16
8
16
1
1
0
8
8
0
0
0
0
40
0
0
0
0
0
2
2
8
16
0
8
0
0
0
0
0
8
8
8
8
3
2
1
0
0
36
32
32
0
0
1
1
0
16
16
8
2
2
2
4
16
8
20
9
0
0
6
8
8
16
0
0
16
0
0
16
33
24
24
24
24
0
0
2
42
0
16
8
0
0
4
0
8
8
8
8
8
8
8
4
0
0
0
0
0
0
0
0
24
4
8
0
8
25
16
0
0
8
8
2
32
2
4
8
0
0
16
0
0
8
24
8
8
8
8
8
0
0
8
1
1
0
0
8
8
8
0
16
16
16
16
0
0
0
8
0
1
20
20
8
8
0
0
0
0
0
0
0
16
0
4
0
0
0
0
16
16
16
16
0
0
0
0
0
0
16
16
16
16
16
0
2
6
16
0
0
8
8
8
0
4
4
16
0
16
24
0
8
4
0
4
12
4
8
8
8
0
0
16
16
16
16
0
4
4
0
20
20
8
0
0
24
16
16
0
8
0
0
8
4
4
4
0
0
0
16
0
0
0
8
4
4
4
0
0
2
0
0
0
12
0
8
0
0
16
0
8
8
16
16
0
0
0
8
0
0
8
8
0
1
18
0
0
0
0
2
0
8
0
0
0
0
1
20
0
0
8
0
0
0
16
1
4
4
8
0
2
2
0
0
0
0
4
4
0
0
16
16
6
6
6
6
6
0
0
0
16
32
8
0
0
10
0
0
0
0
0
0
8
8
2
0
0
8
8
8
8
16
2
4
0
4
0
16
24
0
0
0
8
8
0
0
32
0
0
24
8
0
32
4
8
32
32
0
0
0
24
1
0
0
5
5
8
0
8
16
16
16
16
0
0
8
8
16
8
8
2
4
4
4
0
0
0
12
0
0
0
16
16
0
20
8
0
0
0
0
2
2
8
8
0
8
0
0
0
8
8
8
16
16
16
16
0
0
0
0
16
8
2
8
1
1
1
1
0
12
8
0
16
16
16
16
24
0
8
8
16
16
16
16
16
8
0
4
9
8
0
0
0
0
0
16
0
0
16
16
8
0
0
9
16
16
1
1
0
0
0
0
16
4
4
4
1
0
0
0
16
16
16
0
0
24
24
8
8
8
17
0
16
16
0
2
2
8
0
0
0
40
0
0
0
57
0
8
0
0
24
24
0
32
0
0
0
0
0
0
0
0
48
0
0
0
33
33
4
8
1
0
8
0
16
16
8
4
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
20
8
1
0
24
0
0
0
16
24
4
4
8
16
16
16
16
16
0
0
0
4
16
16
8
8
44
44
44
0
8
12
0
0
0
0
0
4
0
32
0
0
2
2
2
2
2
8
8
8
8
0
8
8
0
0
8
1
8
8
16
16
16
8
0
0
0
0
0
0
16
8
8
8
0
0
0
0
0
0
0
8
16
16
1
0
8
16
16
0
0
2
2
0
9
0
27
15
15
2
8
8
8
8
8
0
0
2
0
16
16
24
8
0
0
0
0
8
8
8
0
17
0
0
32
0
0
0
17
17
17
0
16
5
0
0
16
16
16
0
0
0
0
8
16
16
0
0
8
0
0
16
32
8
8
16
0
8
8
0
16
0
32
0
0
16
16
8
8
2
2
16
0
0
0
32
40
9
32
0
3
3
1
40
40
24
32
0
0
0
0
8
0
8
8
8
0
8
0
0
18
8
8
0
4
0
0
8
0
0
8
32
1
16
0
0
8
8
8
0
0
4
4
4
0
0
3
0
1
8
8
0
0
18
16
16
0
0
8
8
0
0
16
0
0
15
15
0
22
16
8
8
34
0
8
0
0
0
0
0
0
16
8
8
0
8
8
24
24
16
17
8
8
8
40
12
8
8
8
0
8
8
16
0
0
0
0
0
8
8
8
8
16
0
0
0
8
8
8
0
0
0
0
16
16
0
8
4
4
8
0
1
16
16
16
0
0
0
0
0
0
16
2
8
0
0
0
4
4
4
0
0
8
0
0
8
8
8
8
8
8
8
0
0
0
4
0
0
8
0
0
0
8
8
16
8
8
8
8
4
4
0
0
1
1
0
0
26
26
0
1
16
16
16
0
0
0
4
0
1
1
1
1
1
0
0
0
0
0
0
0
16
2
8
8
0
1
8
0
0
0
0
8
0
0
1
1
0
0
1
1
8
8
0
8
8
0
9
1
1
1
16
0
8
32
48
32
0
1
16
16
0
8
8
0
16
16
1
24
24
0
0
8
0
4
0
0
8
0
41
25
25
8
8
2
2
2
8
8
0
8
8
8
0
8
8
8
0
0
0
12
12
12
12
12
12
12
0
16
4
4
1
1
1
0
0
9
4
4
8
8
8
0
16
0
0
16
5
1
0
0
0
8
8
0
1
4
0
34
34
34
0
0
8
8
8
32
0
0
0
8
0
0
8
0
20
0
0
0
0
16
16
8
40
2
1
1
8
0
0
0
0
0
0
16
0
17
1
0
16
8
8
0
0
4
8
0
8
17
16
16
16
8
0
0
0
2
0
0
8
32
32
8
0
0
2
2
2
2
2
4
0
8
8
8
8
0
0
0
0
4
4
4
0
8
8
8
8
8
0
8
8
2
0
4
4
0
24
24
21
8
0
0
0
0
0
0
0
0
16
0
8
0
0
0
8
0
8
0
0
0
0
0
0
0
0
0
8
8
0
16
0
1
20
0
0
0
0
0
0
0
0
39
0
0
8
8
4
4
1
0
0
8
1
1
8
8
4
20
4
4
0
16
2
2
2
0
0
0
0
0
0
0
0
0
0
8
0
8
8
8
8
8
0
35
28
0
0
0
4
0
0
8
8
8
8
8
8
8
8
0
0
0
8
8
8
8
16
16
0
0
0
0
0
0
0
0
16
16
0
24
2
26
26
2
0
2
8
8
2
2
2
0
16
16
0
0
0
0
2
8
0
8
8
8
0
16
0
16
20
20
0
24
0
0
0
0
0
8
4
16
0
4
0
0
0
8
0
0
0
0
8
8
8
9
9
8
0
4
8
8
1
2
4
4
4
0
0
0
8
8
8
8
0
16
4
4
0
16
0
16
0
16
17
17
17
0
0
0
8
8
0
0
24
8
0
0
17
16
0
0
0
4
0
0
0
0
0
5
0
16
16
16
8
8
8
8
0
1
0
16
0
0
0
16
16
16
16
16
16
16
8
8
12
12
12
12
12
12
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
2
16
16
8
8
0
0
0
32
16
16
32
32
0
0
0
0
0
0
4
0
8
1
2
0
0
16
16
8
16
0
16
8
0
0
0
0
1
1
1
1
0
0
0
0
16
8
8
0
2
8
8
0
1
8
1
1
1
22
20
16
16
18
0
0
0
0
0
0
1
0
4
4
0
0
0
1
8
32
32
0
0
8
4
16
8
16
0
8
8
8
8
0
16
16
16
0
0
0
0
0
0
1
1
8
8
8
8
0
8
0
0
0
0
24
8
8
0
8
8
0
0
0
0
8
0
0
17
8
0
16
16
16
1
0
0
0
0
0
0
0
8
8
8
8
8
16
16
12
8
8
8
8
2
2
8
0
0
0
8
8
8
16
0
40
0
0
0
16
16
8
32
32
32
24
24
0
60
0
0
0
0
0
0
17
5
5
5
5
5
0
0
4
4
0
16
16
16
8
8
8
8
8
0
16
16
1
0
0
4
4
4
4
0
0
8
0
0
0
8
16
16
4
4
4
4
0
2
0
0
0
0
0
0
0
0
8
0
16
16
16
8
8
8
0
8
17
0
0
0
1
1
8
0
4
0
8
0
4
16
16
8
0
2
2
2
0
0
4
4
4
4
48
48
48
48
48
48
0
0
4
0
8
0
0
0
0
3
32
32
32
32
0
0
0
8
8
8
8
8
0
0
16
16
16
16
16
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
8
16
16
0
28
16
0
8
8
16
0
0
0
0
16
16
8
8
8
0
0
1
8
1
16
4
16
8
0
0
2
0
0
0
0
0
0
0
16
16
16
16
16
16
0
21
0
0
0
0
8
8
8
8
8
24
8
0
0
20
20
20
8
0
0
2
8
8
18
18
0
8
8
8
0
0
0
0
0
0
0
16
8
0
42
42
42
1
0
0
0
12
12
0
1
16
8
0
1
16
16
0
0
0
0
0
8
8
4
0
0
0
1
0
0
0
0
0
16
16
0
0
0
0
8
0
0
0
0
16
16
16
0
0
0
1
0
0
0
2
4
4
4
0
0
0
0
0
0
16
16
0
2
16
16
16
8
8
0
4
4
0
24
24
16
0
0
0
8
8
16
0
0
0
2
2
0
0
0
0
0
0
10
2
2
8
8
0
0
0
16
0
0
16
16
0
0
1
0
0
0
0
0
0
0
8
0
16
16
16
16
16
0
8
16
8
8
16
16
16
16
16
24
24
0
0
0
0
0
24
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
8
2
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
2
16
16
1
1
16
8
8
4
0
0
0
0
0
16
16
1
10
8
0
2
2
0
4
4
0
1
1
8
8
8
0
32
32
16
16
8
8
2
8
8
8
8
8
8
0
0
0
0
4
8
1
4
0
0
0
0
0
0
0
16
0
1
0
46
8
8
8
8
8
44
0
2
16
8
8
1
0
32
32
0
0
2
2
0
0
8
0
0
4
4
4
4
8
8
8
0
8
8
8
16
0
16
16
4
0
0
0
14
0
8
4
8
8
8
0
0
0
0
0
0
16
0
0
0
2
8
0
0
0
0
32
0
0
0
0
16
0
0
0
0
8
8
8
8
0
1
1
0
0
0
0
16
16
0
4
16
16
16
0
0
8
8
0
0
1
1
8
8
16
16
16
0
0
0
16
48
0
8
8
8
0
16
16
0
0
8
16
32
0
0
8
0
0
24
4
4
4
3
1
1
17
0
4
4
0
4
16
8
8
0
0
16
16
0
0
0
0
12
28
16
16
16
16
16
4
8
16
8
0
4
8
0
16
0
0
0
4
4
0
0
0
0
0
0
0
8
16
8
16
16
0
17
0
0
0
0
0
16
16
10
16
16
0
16
16
0
0
20
0
0
8
8
0
1
1
0
4
4
4
4
4
0
0
0
0
8
16
16
0
0
0
0
32
4
0
4
0
0
10
4
4
4
4
4
4
4
4
0
8
0
16
16
0
0
8
52
32
1
0
8
8
8
0
4
0
24
4
4
4
2
8
8
8
8
20
16
16
0
0
8
0
16
16
0
2
2
2
8
2
2
2
2
16
16
4
4
0
16
16
0
24
16
16
0
0
0
0
16
1
0
0
4
4
4
4
4
8
8
8
8
32
0
16
24
24
24
24
24
8
0
0
0
0
0
0
0
8
8
8
40
8
16
4
4
24
24
0
0
0
0
8
0
24
16
1
0
0
0
8
8
8
8
8
0
0
0
8
4
0
0
0
8
8
8
8
8
8
0
0
0
0
2
1
1
2
2
9
0
8
8
0
0
4
0
4
8
8
8
0
0
0
8
0
0
24
24
4
8
0
16
16
16
1
0
0
16
8
8
8
0
0
0
0
0
8
0
0
0
0
0
12
0
4
0
0
16
8
4
4
0
0
0
17
17
0
8
0
0
0
6
0
1
0
0
0
0
0
8
2
1
1
16
0
0
0
0
0
4
4
4
0
8
8
4
0
0
13
0
0
0
0
16
4
0
0
8
8
0
0
0
2
0
20
20
20
20
0
16
16
8
8
4
4
4
4
34
16
0
8
1
34
34
34
34
34
8
0
0
0
0
8
8
0
0
0
16
8
16
16
0
4
0
8
8
8
8
8
0
8
8
0
16
16
4
0
8
0
0
0
0
0
0
8
4
4
8
8
0
1
8
0
0
1
8
8
8
1
12
12
16
1
0
8
8
0
16
16
0
24
0
0
0
0
0
0
0
0
0
4
0
8
0
0
8
8
24
24
0
0
0
16
16
16
0
8
8
8
8
16
0
6
0
16
0
0
0
8
1
1
20
0
16
8
16
16
16
16
16
16
16
0
0
0
8
8
8
10
16
4
24
0
0
26
8
0
56
1
0
0
0
0
0
0
0
8
8
4
4
0
16
1
0
32
0
16
0
0
16
16
8
2
0
8
4
48
2
0
0
16
16
24
24
8
4
8
0
0
0
0
0
0
24
2
12
12
12
16
0
0
0
0
0
16
16
0
8
0
0
0
0
0
0
0
8
22
0
2
1
26
26
0
0
0
0
0
16
16
0
0
0
16
16
0
16
8
8
1
1
8
0
0
16
9
16
8
8
0
8
0
0
0
0
0
8
8
8
2
0
9
9
24
1
0
16
8
2
2
2
2
16
8
0
32
0
8
8
1
1
4
4
4
18
9
9
8
17
17
17
17
17
0
32
32
0
41
0
1
0
1
0
25
8
8
8
0
0
1
4
4
4
4
16
8
8
0
8
0
0
0
0
8
0
0
0
4
8
8
8
0
0
0
8
0
0
0
0
2
0
8
0
0
0
8
0
8
8
16
16
0
0
0
0
0
0
0
16
16
0
8
0
24
1
2
2
0
0
0
0
0
16
8
8
0
36
32
0
8
8
8
2
0
0
0
0
0
0
16
0
8
0
24
0
4
0
0
0
36
36
36
8
8
4
4
8
0
0
0
0
0
8
20
8
16
0
1
24
2
8
20
20
8
8
8
16
0
0
0
16
8
1
16
0
16
8
8
0
0
16
16
0
0
0
0
0
0
0
0
8
16
16
16
0
8
8
8
0
36
8
0
8
8
8
16
4
4
4
32
0
16
16
16
2
1
4
4
4
0
0
4
4
4
0
16
0
0
0
0
8
4
4
16
8
2
2
8
0
0
16
2
16
0
0
0
0
0
0
0
8
0
8
5
5
0
0
4
4
16
8
8
32
32
0
16
16
16
16
16
2
0
0
0
0
0
0
0
0
0
4
4
4
0
16
16
0
1
1
1
1
1
1
1
8
0
0
0
0
0
0
0
0
8
16
16
16
16
16
16
1
0
0
0
20
8
0
0
8
1
1
0
20
4
4
8
0
4
4
18
18
32
0
8
0
16
1
0
8
0
0
0
0
0
0
20
12
12
32
32
0
0
16
0
0
0
0
0
0
24
16
16
0
0
32
32
0
0
8
0
0
0
0
16
0
0
16
0
16
0
0
8
8
8
0
0
16
12
0
2
1
1
1
1
0
0
0
0
2
0
0
16
0
8
0
0
0
0
16
16
0
2
2
2
16
0
1
0
0
0
1
0
16
8
0
0
0
0
0
0
8
0
0
0
0
0
4
4
4
4
0
0
0
16
4
32
0
0
0
8
24
0
0
1
1
0
18
13
8
18
18
0
8
16
16
16
16
0
8
16
16
0
0
16
0
0
1
1
16
16
0
0
8
0
8
16
16
0
2
2
2
1
4
8
0
0
0
0
0
0
0
0
8
8
8
8
0
8
8
0
0
0
0
8
16
4
0
0
0
0
8
8
0
0
0
0
0
0
0
0
4
16
16
0
0
0
0
1
0
18
18
8
0
8
4
16
6
6
6
8
4
4
4
4
16
0
0
0
16
0
8
2
0
0
0
0
16
0
8
8
1
1
16
16
16
32
8
8
0
0
0
10
8
0
0
0
0
0
0
0
8
16
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
1
24
8
8
1
1
8
8
16
16
16
8
8
32
32
32
0
4
4
16
8
0
0
16
57
0
0
17
17
32
16
0
24
16
0
0
0
0
0
4
16
8
8
8
0
24
8
8
8
0
20
20
16
16
1
1
0
0
0
1
24
0
0
0
0
0
0
9
9
0
8
8
8
0
8
0
8
0
8
0
0
0
0
8
0
0
0
0
4
7
7
1
8
0
0
16
43
43
0
8
8
8
8
8
2
4
4
8
8
0
28
8
0
16
16
0
0
0
0
8
8
9
16
16
2
2
1
1
16
16
0
0
1
1
8
8
20
0
8
0
0
0
0
1
1
8
0
16
16
16
16
20
20
20
16
8
0
0
0
0
3
1
8
8
8
16
0
8
8
8
4
32
32
32
8
8
8
8
0
12
12
8
8
8
8
8
8
8
8
8
8
8
8
16
16
24
0
8
8
0
0
0
0
2
2
2
0
0
16
16
8
8
0
8
8
0
0
8
8
8
4
4
4
8
8
0
4
4
0
0
0
0
16
16
0
0
4
16
8
8
8
8
0
0
16
0
0
16
0
0
0
0
0
0
16
0
0
0
0
4
0
8
8
0
0
9
9
0
48
48
0
8
0
4
4
1
1
2
0
0
0
24
8
4
4
0
0
0
0
0
8
8
8
8
8
0
0
16
16
16
8
9
9
9
0
0
8
0
16
24
0
8
4
0
24
1
1
13
9
0
0
0
16
24
16
16
16
0
0
16
16
0
0
16
0
0
0
2
2
8
16
8
8
0
0
0
0
48
48
0
0
0
0
0
0
8
8
16
0
0
0
24
24
16
16
0
0
8
0
1
32
32
0
0
8
8
16
16
16
0
16
16
16
2
14
0
41
0
0
16
16
0
0
8
1
8
1
1
1
8
0
0
0
17
24
24
0
0
0
0
0
0
0
0
2
2
0
0
0
0
0
0
0
0
24
4
4
0
16
16
16
0
16
2
2
2
4
0
0
4
4
4
0
8
12
0
1
1
1
1
1
1
1
1
8
0
8
8
8
1
8
8
0
0
0
8
8
16
16
1
1
16
0
9
9
9
0
8
8
8
0
0
0
0
0
0
0
0
16
16
16
4
4
8
0
8
0
0
0
0
16
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
2
2
0
4
4
0
0
8
0
0
17
1
1
1
12
8
0
2
2
0
0
0
0
0
0
0
0
18
18
25
25
25
16
16
1
1
1
8
8
8
1
16
16
0
0
0
4
16
16
8
0
0
0
0
0
0
0
8
0
4
4
4
4
16
16
0
0
1
4
4
4
4
0
24
0
0
0
0
0
0
0
0
0
0
0
0
8
1
0
2
4
8
8
0
0
16
0
0
0
13
13
16
0
0
0
16
8
8
0
0
0
0
32
0
4
4
8
8
8
8
0
0
0
8
4
8
8
0
16
8
8
0
1
0
16
16
16
16
16
0
0
4
4
8
8
0
0
16
16
16
16
4
1
8
8
8
2
8
8
0
2
8
4
4
0
0
24
16
16
0
0
0
0
1
4
8
8
24
0
21
8
8
8
0
0
20
20
20
0
0
18
18
0
0
8
0
0
16
16
0
0
0
2
2
8
0
0
8
0
0
8
0
48
16
32
0
0
0
8
16
8
8
0
0
8
8
16
0
16
16
0
0
0
0
8
0
54
32
32
32
8
11
8
0
0
0
16
2
2
0
0
32
32
0
0
0
8
16
16
18
18
16
24
0
16
8
16
16
16
16
4
2
0
8
8
8
4
4
2
0
0
4
8
8
8
0
8
0
0
16
12
8
34
32
8
8
8
32
32
32
8
8
8
8
8
1
1
1
0
24
0
0
0
0
0
0
0
0
8
8
8
19
8
0
4
0
8
0
8
8
0
0
16
16
0
0
4
0
2
2
2
1
1
2
2
0
16
16
16
0
0
2
2
2
16
4
0
0
0
24
0
36
48
0
8
0
16
0
8
1
1
12
8
0
0
8
8
0
4
14
0
16
16
16
16
16
1
1
8
0
24
24
17
0
0
0
0
0
8
2
16
1
0
0
2
4
48
0
0
0
0
0
8
8
8
1
1
4
8
8
0
8
4
1
0
0
1
1
0
0
0
2
2
0
0
1
0
8
16
8
0
0
2
1
1
1
32
32
0
0
8
2
2
8
3
16
16
0
1
1
1
1
1
1
0
0
0
0
0
0
0
8
32
32
4
0
0
0
0
0
0
16
0
1
0
0
0
8
1
1
8
8
8
8
8
0
0
16
16
8
8
0
0
0
0
20
8
20
20
22
0
0
8
0
0
16
0
4
16
8
0
24
6
6
6
6
0
1
16
0
4
0
8
16
0
1
8
2
2
0
0
0
0
0
0
0
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
0
6
6
24
16
16
0
0
0
8
16
8
8
0
4
4
0
0
2
0
0
0
16
16
16
10
10
0
0
0
0
0
32
32
32
32
32
32
4
0
0
46
46
0
0
0
8
8
0
0
16
0
18
18
0
0
0
8
8
2
16
16
8
0
0
0
8
8
8
8
2
0
0
0
0
32
0
0
16
16
16
8
8
8
0
32
24
24
16
16
16
2
0
8
0
8
1
24
8
16
16
8
0
16
0
0
16
16
16
8
8
0
8
0
16
16
16
16
0
0
0
0
0
0
28
0
8
16
0
0
0
0
0
0
0
8
24
9
8
0
0
0
16
0
0
0
0
0
0
8
24
24
24
8
8
24
0
0
0
0
0
0
32
32
16
16
24
24
16
25
25
0
0
0
8
8
16
0
0
0
0
0
0
0
0
1
1
50
8
0
0
0
0
8
8
0
0
0
24
0
0
8
0
0
24
0
0
0
8
8
4
4
8
0
24
24
5
8
8
8
0
0
0
4
0
18
18
0
0
4
0
0
0
8
8
20
1
0
0
0
8
8
48
16
0
12
4
0
0
0
0
1
1
0
4
8
16
0
0
0
0
0
0
0
32
0
16
16
16
0
0
16
0
16
2
16
4
4
0
16
10
4
4
8
4
24
0
0
8
8
8
0
0
8
8
0
0
0
0
0
0
0
4
16
16
0
0
16
0
0
0
0
8
16
16
16
16
0
0
0
0
0
24
24
0
16
0
0
0
0
0
0
1
1
1
1
1
0
0
0
4
0
0
0
0
0
51
2
4
8
8
0
0
16
16
16
0
0
8
0
0
0
0
0
0
0
0
0
2
14
2
2
0
8
0
8
8
0
16
16
16
8
0
0
4
4
20
0
8
8
8
0
28
0
0
0
0
0
2
16
16
0
2
16
0
0
25
2
16
0
8
8
8
8
8
0
0
0
0
8
8
0
8
8
9
4
4
4
4
8
16
16
16
8
8
8
8
16
0
0
0
12
16
16
0
0
0
0
0
0
0
8
0
8
8
16
16
16
16
16
0
26
16
0
0
24
0
0
0
0
4
4
1
0
0
42
40
8
8
8
8
8
0
1
16
16
16
16
0
8
8
1
0
2
16
16
16
16
16
16
0
20
8
8
0
0
0
0
0
16
0
0
8
8
5
8
8
0
0
0
16
19
16
16
27
27
0
0
0
0
0
0
1
0
0
8
32
2
0
0
0
0
0
0
0
0
0
0
8
8
8
16
8
8
1
16
0
0
0
0
2
0
0
0
4
0
0
0
16
0
0
0
1
1
8
8
8
8
8
8
8
24
0
0
0
16
16
0
0
8
8
8
0
0
0
16
16
0
0
0
0
0
0
0
2
1
0
0
0
8
8
8
8
8
8
8
8
8
8
1
4
20
4
0
8
32
0
0
0
8
16
16
52
8
8
21
21
8
8
0
0
0
8
0
0
0
0
0
2
10
10
0
0
0
0
0
0
0
0
8
1
1
16
0
2
8
8
0
0
10
10
1
1
0
0
0
0
15
24
10
2
0
22
12
12
12
8
8
0
8
0
8
0
8
1
1
0
1
4
8
8
1
0
8
8
8
8
8
8
8
8
0
8
0
0
12
1
0
0
4
2
0
8
0
0
8
8
0
18
2
0
0
0
0
0
0
8
0
8
0
8
32
32
9
1
16
16
16
2
2
8
0
4
4
0
0
0
8
4
8
1
16
0
8
8
8
0
0
0
0
16
16
8
8
0
0
8
8
0
0
0
0
32
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
8
8
10
0
16
8
16
0
0
0
0
0
0
8
8
4
4
0
8
8
8
8
8
33
0
8
1
5
16
16
16
8
8
0
0
1
16
0
0
0
0
0
16
0
4
0
8
16
16
24
24
8
8
16
8
4
0
0
0
4
4
24
0
0
0
0
0
12
12
0
4
8
8
16
0
0
1
22
16
8
4
4
0
0
8
0
0
4
0
0
0
0
0
2
0
0
8
1
1
0
0
4
16
16
16
16
16
16
16
16
32
32
8
16
12
16
8
0
0
16
16
16
16
16
16
16
16
16
0
0
0
0
8
8
16
4
4
4
16
1
16
0
8
8
8
0
0
0
0
8
8
0
0
0
0
0
0
0
0
4
1
1
8
8
0
0
1
16
0
0
0
32
32
0
8
0
0
0
0
0
0
0
0
0
1
1
8
8
24
0
8
32
8
0
0
32
12
12
12
10
40
40
0
0
0
0
0
0
1
1
8
16
17
17
17
0
0
0
8
8
8
8
0
2
0
0
16
8
24
32
32
4
0
0
16
0
0
0
48
48
8
8
48
17
8
8
8
8
0
0
0
0
0
16
16
4
0
0
8
18
0
0
8
8
0
0
0
0
40
40
40
40
8
8
8
0
0
0
0
8
0
18
16
8
0
8
8
8
8
0
0
0
0
16
0
8
0
0
0
0
0
0
0
0
1
1
1
0
4
0
0
0
8
0
0
0
8
8
0
0
0
8
2
0
0
0
0
0
16
0
0
0
0
9
16
16
16
0
0
10
2
2
8
12
8
1
1
1
1
1
0
0
32
32
1
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
16
1
0
8
0
0
1
1
1
0
0
0
16
0
0
0
4
8
8
8
8
1
1
0
0
0
10
10
1
8
0
0
0
0
27
12
16
16
16
0
0
0
0
16
0
0
8
0
0
0
0
4
13
0
0
8
4
4
8
40
40
0
0
1
9
0
16
8
8
40
24
0
16
0
16
32
16
0
8
33
0
8
8
0
0
0
0
1
16
16
16
0
0
0
1
1
1
0
8
8
8
8
8
8
1
16
8
0
0
6
6
32
32
0
0
0
8
8
8
16
16
16
0
0
16
16
0
0
0
1
1
0
32
32
32
0
0
0
0
0
0
0
8
8
0
0
0
8
8
0
8
16
0
0
2
2
0
16
6
6
6
2
0
4
8
8
0
12
0
0
4
0
0
0
0
0
0
0
4
4
0
0
8
8
0
0
0
0
0
0
0
8
16
16
16
0
0
0
0
8
8
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
16
24
24
16
0
0
0
0
0
0
0
0
0
0
2
8
2
8
0
0
0
21
0
0
0
48
0
0
0
0
0
0
8
0
0
0
0
0
39
8
8
0
0
0
0
0
0
17
16
0
0
0
0
0
0
0
0
0
0
0
16
8
5
0
0
0
0
0
0
8
16
16
0
0
0
2
1
1
1
1
1
8
0
8
0
0
0
0
0
16
16
8
8
8
8
8
12
16
8
0
0
16
16
0
0
0
1
8
8
12
12
0
16
0
0
8
8
16
16
0
0
0
0
0
0
0
16
16
16
1
1
1
9
8
0
0
1
1
0
0
1
16
0
0
0
0
32
0
8
10
10
10
10
0
0
16
16
8
0
8
8
8
8
24
8
0
8
8
0
8
8
1
1
0
0
0
4
0
16
16
16
16
0
8
0
0
0
4
4
8
0
0
8
0
0
0
0
0
0
0
16
0
0
0
0
0
0
4
4
16
16
0
0
0
0
0
0
0
0
0
8
0
8
0
0
2
16
0
8
16
20
20
0
2
0
0
0
0
0
16
4
8
0
0
16
16
16
9
28
0
1
1
0
1
0
0
16
0
0
0
8
19
8
0
20
16
0
0
4
4
4
0
24
16
16
16
0
24
16
16
16
16
21
8
8
0
2
8
1
0
16
16
16
16
0
0
0
4
4
16
16
0
0
0
0
0
16
16
16
8
0
0
0
0
1
8
8
16
0
24
16
8
8
8
0
0
0
0
20
20
0
0
0
0
0
8
8
0
4
2
0
16
16
16
17
8
8
0
0
0
0
40
8
8
0
2
0
0
0
8
16
16
16
57
1
0
0
0
8
8
0
8
4
0
16
0
9
32
32
32
8
4
0
0
1
1
1
0
12
12
0
8
0
0
0
0
8
0
4
8
8
16
16
16
0
8
17
0
0
0
24
0
0
0
0
0
8
0
10
0
16
0
0
16
0
0
8
16
8
0
0
16
17
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
32
16
8
24
8
8
0
0
0
0
0
0
0
0
0
0
0
0
1
1
8
8
0
0
0
24
24
0
8
8
0
0
16
16
16
24
24
8
8
4
0
0
0
0
1
0
16
16
4
4
4
17
24
24
0
8
8
27
27
8
16
16
16
16
0
0
0
16
16
1
0
4
4
8
8
0
1
1
0
0
8
0
16
0
8
0
16
0
8
8
1
1
1
0
16
0
1
2
2
2
8
0
0
8
0
25
0
0
0
0
0
0
24
0
8
33
0
8
8
0
0
0
32
0
3
0
16
0
0
0
8
8
6
8
8
1
8
0
0
0
32
0
0
0
0
0
24
8
8
0
0
0
24
0
0
0
0
0
0
8
0
16
0
12
0
1
1
2
16
2
2
16
16
0
1
0
0
0
0
0
0
0
8
4
4
4
17
8
8
8
16
16
8
8
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
9
9
8
0
12
0
4
0
8
49
0
44
16
20
0
0
4
2
0
0
8
8
8
16
2
16
0
1
8
8
0
0
0
8
0
16
16
16
8
8
12
16
16
0
8
0
0
0
0
0
16
0
16
0
0
0
12
12
1
8
0
0
1
1
1
30
22
0
22
16
0
0
0
0
0
0
48
4
0
0
0
0
4
2
0
0
8
8
0
16
16
16
4
4
4
4
0
0
48
16
8
8
0
0
8
0
0
16
24
32
0
8
0
2
2
2
0
0
13
8
8
0
16
8
8
0
8
0
0
32
8
8
8
8
8
0
0
34
8
0
20
20
0
0
0
8
0
2
8
8
0
0
16
16
0
0
0
2
0
8
4
26
0
0
2
1
1
0
16
16
16
0
0
16
0
0
0
0
0
0
1
1
0
8
8
2
2
16
16
16
18
0
0
16
16
8
16
16
16
16
16
16
0
32
2
2
2
33
33
33
24
1
2
16
0
36
36
36
49
2
0
0
2
6
20
8
16
6
0
0
8
8
8
0
0
0
0
0
0
0
32
37
0
0
8
8
10
10
0
0
24
0
8
1
1
1
1
0
0
0
0
0
2
0
0
1
0
8
0
8
0
0
16
16
16
16
0
0
0
36
14
0
0
0
0
0
0
0
0
0
8
8
16
8
16
16
0
8
16
16
0
0
0
0
0
0
8
8
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
16
0
16
4
16
8
56
56
16
16
16
8
0
8
16
16
0
8
8
0
0
0
0
0
0
8
8
8
2
1
0
0
0
8
8
0
8
2
2
0
0
0
32
1
0
8
0
0
0
8
0
0
8
9
8
8
2
4
4
4
8
16
0
0
8
8
0
24
24
8
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
16
16
0
0
0
16
16
16
4
4
4
4
4
0
8
8
8
0
1
0
0
16
0
0
0
0
0
8
0
10
16
16
16
8
4
0
16
8
0
16
16
16
12
0
0
0
16
0
0
0
0
0
0
0
0
16
4
16
16
0
0
0
2
9
16
16
0
0
0
0
8
8
8
8
8
8
16
32
16
8
8
0
0
0
2
0
0
8
0
0
8
8
0
16
8
8
0
0
0
16
0
8
8
0
0
5
5
5
0
4
4
0
32
16
0
4
4
8
8
0
4
4
0
0
8
0
4
4
8
0
0
0
8
4
4
4
1
24
24
0
8
0
0
0
0
8
2
1
1
1
0
8
16
16
16
16
16
16
8
2
2
0
0
0
0
0
8
12
1
1
0
0
4
0
16
6
6
0
4
4
0
16
16
16
16
16
0
0
0
0
8
8
0
0
0
2
8
8
8
8
0
0
0
18
18
18
18
18
0
0
8
16
16
1
1
1
1
1
1
1
0
18
17
0
0
20
16
0
0
0
0
0
0
0
16
0
0
1
16
0
2
16
16
0
0
2
1
1
0
1
1
8
14
14
0
0
8
12
12
12
12
12
12
16
12
12
16
0
0
4
0
0
0
0
0
0
0
0
8
24
24
0
0
8
8
8
16
1
8
16
8
0
8
8
8
0
4
0
24
8
8
8
8
0
0
4
1
16
0
8
16
16
0
0
0
0
20
0
0
8
0
4
12
2
1
1
0
0
1
8
8
0
40
42
40
8
8
16
0
2
0
12
8
8
4
0
26
1
0
0
0
0
12
8
8
16
16
0
26
26
8
8
8
16
4
16
0
0
56
56
16
0
0
8
8
8
1
0
0
0
8
1
1
0
36
0
0
0
0
24
24
16
4
4
8
8
0
0
0
16
16
16
16
0
0
4
2
0
0
12
48
48
48
20
8
8
8
1
8
0
0
8
0
0
8
16
16
4
0
0
0
0
0
0
25
16
8
0
0
2
2
16
8
8
2
0
0
26
17
17
1
16
8
8
12
12
16
16
16
10
0
0
0
4
0
57
9
8
8
8
0
0
2
2
2
2
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
8
0
0
0
16
8
0
0
16
16
0
0
1
1
1
0
16
0
8
0
0
8
16
16
0
32
0
8
8
8
8
8
0
0
8
1
1
1
1
8
8
8
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
2
2
2
0
0
8
0
0
0
0
0
0
2
16
16
16
0
8
0
8
8
8
8
8
16
0
1
1
1
16
16
8
0
0
0
4
4
4
0
0
0
24
16
58
16
0
0
0
0
0
0
12
12
0
0
0
0
0
0
0
8
8
4
4
4
0
0
1
0
0
4
0
16
16
8
24
8
0
0
0
0
0
0
25
0
0
0
0
8
0
32
32
8
8
8
4
0
16
8
8
16
36
0
0
0
0
8
0
8
0
0
0
0
0
0
8
18
10
4
4
4
4
0
24
8
9
9
9
8
0
0
0
4
1
1
0
0
4
4
16
16
28
0
0
0
0
8
0
0
16
0
0
0
0
32
3
3
3
3
8
0
16
0
8
8
0
0
2
2
1
1
1
16
2
0
8
0
4
4
4
0
0
8
16
0
0
16
16
8
8
8
4
4
0
16
0
8
0
0
2
0
0
0
16
0
0
2
2
1
0
8
8
8
16
16
0
0
41
41
0
20
20
0
0
21
1
0
0
9
8
0
0
0
10
0
0
0
1
1
24
0
4
4
4
0
0
0
0
0
8
16
16
8
2
2
2
8
0
0
2
0
0
0
0
0
0
0
16
16
16
25
2
0
2
2
2
4
2
32
0
0
8
0
0
0
2
2
2
0
0
0
0
16
39
0
8
0
1
16
16
16
16
0
8
0
8
0
10
10
12
12
0
0
0
4
8
8
8
8
20
20
16
16
16
0
23
23
2
2
8
0
0
0
0
0
0
28
1
8
8
8
8
0
8
1
29
4
4
4
8
16
16
0
0
0
0
8
0
0
2
2
26
1
1
1
8
0
4
4
4
0
8
0
0
5
5
5
4
4
4
4
2
0
0
0
24
12
12
12
12
0
0
16
0
0
0
32
16
16
16
0
0
0
8
1
0
0
0
4
0
0
0
3
3
8
24
0
0
8
8
8
4
4
4
4
1
0
0
0
0
4
24
24
24
4
4
4
4
0
0
16
16
16
16
16
4
2
4
0
0
17
16
0
4
2
0
4
4
0
0
16
0
32
8
2
2
0
24
16
8
0
0
8
8
8
8
8
0
0
0
8
0
1
1
1
0
16
16
0
8
16
16
0
0
0
0
0
1
32
32
32
4
8
0
8
8
8
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
4
4
36
0
2
24
8
8
1
1
1
2
0
0
0
0
0
16
1
17
17
0
41
0
0
0
0
16
0
8
8
8
8
8
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
1
16
8
8
2
0
24
24
24
24
24
4
16
0
0
0
8
8
8
0
0
16
24
0
0
0
0
0
0
1
0
4
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
1
8
8
8
8
1
4
0
9
9
32
0
0
16
16
8
0
0
8
1
1
0
0
0
0
0
0
2
1
0
8
0
16
0
0
0
12
12
4
12
6
8
0
2
0
8
36
0
0
20
0
0
28
8
0
0
0
0
32
0
16
16
0
16
8
8
0
0
0
0
0
0
0
16
8
8
16
16
8
0
1
0
8
0
0
0
0
0
1
1
0
0
8
8
0
0
0
4
0
1
1
1
1
1
1
25
16
16
2
16
6
4
8
0
0
8
0
0
0
0
16
16
0
0
0
0
1
1
0
0
0
0
6
6
0
8
16
16
16
16
16
16
16
0
0
0
8
8
1
1
32
32
0
8
8
8
8
16
0
4
9
0
0
0
0
0
0
0
0
8
8
16
0
0
0
0
16
16
16
0
0
24
16
0
0
8
16
16
0
16
8
8
32
32
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
4
4
8
0
0
16
2
4
24
8
8
8
8
0
16
16
0
0
0
0
8
8
16
8
0
0
8
8
0
0
0
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
0
0
0
8
8
8
0
0
0
0
0
1
8
12
16
16
0
0
0
0
32
8
18
18
6
2
0
4
16
8
8
8
4
16
16
16
16
16
0
0
0
0
33
33
0
8
8
0
8
8
0
16
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
16
4
49
49
8
0
0
8
8
0
8
0
8
28
8
0
0
0
16
8
8
6
4
0
0
0
0
0
0
0
0
4
0
36
32
8
8
0
36
36
8
0
0
4
6
6
6
6
6
0
36
36
8
8
8
1
0
8
0
4
8
24
24
24
1
1
1
1
0
16
16
16
16
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
8
0
4
8
0
0
8
0
33
4
8
8
8
8
8
8
16
0
0
4
8
16
4
4
0
0
0
0
0
0
0
16
0
8
8
8
8
17
0
0
0
0
0
0
37
8
8
0
32
32
0
0
0
8
4
0
17
0
2
2
2
4
0
0
0
0
0
0
0
0
48
0
0
0
0
0
0
2
2
2
0
0
0
5
4
4
24
4
0
0
32
4
4
8
1
4
4
0
0
0
0
0
0
0
0
0
16
1
1
12
0
1
0
0
0
16
16
16
16
0
0
21
0
0
0
8
0
0
0
0
32
32
0
0
0
0
0
8
0
0
0
16
4
0
0
0
0
32
0
0
0
8
0
8
36
0
8
16
8
8
0
0
4
0
0
0
0
0
0
0
0
8
0
16
0
0
0
0
2
0
0
0
16
0
0
16
0
8
24
24
16
0
16
4
4
48
8
8
16
16
0
0
8
8
16
16
0
4
0
8
0
0
24
24
24
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
6
6
8
0
0
8
8
8
8
2
2
8
8
4
4
12
4
8
8
8
8
1
12
0
8
0
0
0
1
8
8
48
48
8
24
24
8
8
8
8
0
0
4
4
8
8
8
0
0
0
8
0
8
0
2
0
0
0
8
8
24
0
0
16
0
8
8
8
8
8
16
16
8
4
16
0
0
10
0
2
4
0
0
0
0
0
0
8
0
24
16
8
2
2
0
8
8
0
0
4
8
8
8
0
0
0
0
34
34
0
0
0
0
0
4
4
4
4
4
0
0
16
0
0
3
0
16
16
16
16
16
1
8
8
8
8
16
8
0
0
16
4
8
8
0
0
0
2
0
16
16
0
8
8
0
12
2
8
8
1
0
0
0
0
0
0
2
2
1
1
1
1
1
16
0
24
0
56
4
0
4
4
16
16
16
16
12
0
0
0
0
0
0
0
0
0
1
8
1
1
0
0
16
2
22
0
0
0
16
16
8
0
16
0
8
0
20
34
0
16
4
0
0
0
0
56
8
16
4
0
16
0
0
0
16
0
0
0
0
8
0
0
0
0
0
8
4
4
4
4
8
0
0
1
1
24
0
0
8
0
16
0
8
8
8
13
4
4
8
0
16
16
16
2
2
0
0
16
0
16
10
8
0
16
1
8
2
1
2
0
16
1
1
1
16
8
40
4
0
0
8
0
8
4
4
0
0
0
0
0
0
16
16
8
8
8
2
0
0
0
8
8
16
16
16
8
1
1
1
1
8
0
0
1
8
8
0
0
0
0
0
0
0
16
16
4
4
4
16
0
0
0
48
48
48
16
16
16
8
1
0
0
0
0
0
8
0
8
0
0
0
0
0
4
8
0
16
16
0
0
0
0
0
1
1
8
1
0
4
4
0
32
16
8
8
8
2
8
11
8
16
16
8
0
0
10
10
10
10
0
0
16
16
16
4
4
4
4
8
32
32
2
0
8
8
0
0
8
8
8
8
4
16
0
0
16
16
0
0
0
16
2
2
8
0
0
0
8
25
8
0
0
0
16
2
8
16
16
0
0
16
0
0
8
2
1
1
1
0
0
0
0
0
0
0
2
0
0
0
0
0
0
8
8
0
0
1
4
4
4
4
0
0
8
8
4
2
32
0
0
0
0
0
8
2
4
4
4
0
8
8
8
8
8
27
4
4
4
8
8
8
8
8
8
0
16
16
1
0
0
0
0
0
2
0
32
16
16
0
1
0
0
0
0
8
16
16
16
0
8
0
8
8
8
8
8
8
0
0
0
0
0
0
0
16
16
16
16
4
0
0
8
0
0
0
0
4
0
8
8
0
0
0
16
16
16
16
16
0
10
10
0
8
1
1
0
0
0
0
8
0
0
32
16
2
21
8
8
17
17
17
17
8
0
0
0
8
8
8
21
1
1
1
16
0
0
8
0
60
4
16
8
8
28
28
28
8
8
0
8
16
16
16
16
1
1
0
0
0
0
16
16
8
0
16
0
0
0
0
0
8
16
0
16
0
0
0
0
0
0
16
0
0
0
8
8
0
16
4
2
57
57
0
8
8
0
16
16
16
16
0
0
0
0
0
0
0
8
24
18
18
18
16
16
0
34
34
4
4
8
0
24
0
16
16
20
4
0
32
16
16
16
16
16
5
0
0
8
4
4
0
24
0
8
8
8
1
8
0
24
24
24
0
0
2
2
0
0
8
8
24
0
0
2
2
2
0
4
8
0
0
0
45
45
8
16
8
2
2
16
16
0
0
8
0
0
1
0
0
0
0
0
1
16
10
8
16
16
0
0
16
16
32
0
0
0
0
0
0
0
0
46
46
16
8
8
8
0
4
0
8
0
24
2
0
0
0
2
0
0
0
16
58
8
8
29
0
8
24
24
24
24
24
8
8
8
8
8
8
8
8
4
4
2
0
0
17
17
0
24
24
4
0
0
0
16
0
57
57
0
2
8
8
8
8
16
16
0
16
16
0
0
0
58
58
0
0
8
16
0
0
28
28
0
0
0
0
8
0
0
16
16
16
0
8
0
0
8
0
8
0
0
0
0
1
0
8
0
0
0
0
0
1
1
0
4
4
1
0
17
0
0
0
0
0
20
0
1
9
9
9
0
0
2
0
0
0
8
8
0
2
2
16
0
16
0
0
8
0
0
1
8
8
8
0
0
0
0
8
2
0
33
0
8
8
8
8
8
0
0
0
0
14
16
0
0
0
16
16
0
0
5
25
16
16
0
0
4
4
0
20
16
8
0
0
0
16
16
16
16
0
0
8
4
0
4
0
0
16
0
1
0
0
0
4
4
0
0
0
0
0
0
8
8
8
8
8
8
8
0
0
8
8
8
0
0
0
0
0
0
0
0
0
8
8
0
8
8
4
16
0
39
39
32
24
24
24
0
0
0
0
4
4
4
4
4
0
16
16
4
4
4
0
17
16
0
44
0
0
16
16
32
0
0
0
0
0
8
0
0
16
0
0
2
32
4
8
0
0
0
0
16
0
2
40
40
16
8
8
8
2
2
8
8
8
8
8
8
0
0
8
8
8
1
1
1
4
8
8
2
2
24
24
16
16
12
4
8
18
18
18
18
18
8
0
0
0
0
0
0
1
1
0
0
0
0
16
16
16
0
0
0
0
0
0
0
0
0
16
16
0
0
0
1
0
0
0
1
8
4
8
4
8
8
8
0
0
16
16
0
21
0
0
8
0
4
16
0
0
8
4
4
0
0
4
0
1
0
0
8
8
8
8
8
16
16
8
16
8
8
0
8
8
8
4
8
0
8
0
0
0
0
16
0
4
0
0
8
1
0
1
8
0
0
0
0
0
0
0
39
39
0
24
0
0
0
0
0
0
0
0
8
8
0
0
0
8
8
16
16
16
0
0
0
0
0
0
8
8
8
4
0
0
0
0
25
32
32
32
32
1
0
0
16
8
8
8
16
2
8
0
0
0
0
4
0
0
8
2
2
2
2
2
2
0
8
8
0
24
24
0
0
0
0
0
0
0
0
20
20
0
0
4
0
0
0
0
0
0
0
14
20
0
0
0
2
2
8
16
0
0
16
16
0
0
8
2
2
0
16
32
32
0
0
0
33
16
8
0
0
20
0
4
4
2
4
4
4
0
0
0
0
0
0
4
8
48
0
0
8
0
0
8
8
16
0
0
0
8
0
0
48
0
0
0
8
16
16
8
2
2
2
1
8
0
12
0
0
8
0
18
16
2
2
10
0
8
0
0
0
0
0
0
0
2
10
0
16
8
8
4
1
1
16
10
0
0
1
1
0
0
0
17
0
0
8
8
8
0
0
0
8
8
0
0
0
4
4
4
24
8
8
8
8
8
16
8
0
0
0
0
0
0
1
0
0
16
8
8
8
8
8
8
0
0
3
8
0
2
16
4
4
4
4
0
0
0
6
24
24
8
8
8
0
18
18
16
4
0
24
0
16
0
8
0
8
16
16
16
16
24
0
0
0
0
0
0
24
24
0
0
0
8
8
8
8
24
24
24
48
9
0
0
2
16
0
0
0
32
0
16
8
16
0
16
16
1
1
8
16
0
0
0
8
0
0
0
0
0
0
0
0
16
0
24
24
0
0
0
0
0
1
8
0
16
16
16
0
8
8
1
1
0
0
34
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
12
12
12
12
0
0
0
16
16
16
16
16
8
4
1
1
61
61
61
61
61
61
61
0
2
4
16
0
0
1
1
8
2
2
0
20
4
1
0
0
8
8
8
8
8
0
0
0
0
0
0
0
0
8
0
0
0
0
16
16
16
16
16
3
3
3
0
0
0
8
0
8
0
0
17
8
2
0
0
0
0
16
16
16
16
16
16
16
16
0
0
8
32
32
18
0
0
2
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
16
0
0
4
0
0
0
0
0
16
4
4
8
0
2
0
0
8
8
0
24
0
20
4
0
24
16
16
0
4
0
0
0
0
0
16
16
16
16
8
0
0
0
8
8
16
16
16
16
0
0
0
2
0
0
9
48
48
48
48
48
48
48
48
1
0
16
0
0
1
3
3
0
8
8
8
8
8
8
1
8
8
16
0
0
0
0
4
16
16
16
0
0
0
16
0
0
0
0
0
0
0
16
0
4
4
0
8
0
8
16
0
0
0
2
8
24
24
24
24
8
8
8
8
8
8
0
0
1
17
1
1
1
0
1
8
8
8
0
0
8
8
4
2
2
0
24
0
16
18
20
16
16
0
24
0
0
25
0
0
4
4
0
0
0
0
4
0
3
0
0
0
0
0
2
1
0
0
8
8
8
0
2
4
4
8
0
0
0
1
0
24
24
0
0
0
8
0
0
0
0
0
0
32
0
0
0
0
8
8
0
0
0
8
4
8
8
0
0
0
8
8
4
4
8
8
16
0
0
8
8
16
0
8
8
0
0
4
2
34
0
16
16
16
12
3
16
24
24
0
8
8
0
16
16
0
0
0
2
0
8
0
8
0
8
8
8
8
8
16
16
14
0
0
0
1
1
0
1
1
1
0
0
0
4
0
8
4
0
0
4
4
0
0
33
16
0
0
8
8
0
0
0
0
0
1
0
8
2
0
0
1
0
0
4
2
0
0
9
8
8
8
20
2
16
0
0
8
8
24
24
24
20
20
0
8
0
0
0
8
8
8
8
8
0
0
0
16
16
0
9
24
24
24
24
12
12
12
0
24
8
4
32
4
0
8
0
0
0
56
32
1
0
0
8
32
32
32
8
0
0
8
8
8
8
17
16
16
16
16
16
16
28
20
8
0
0
0
0
0
0
0
0
0
10
10
0
4
0
32
32
0
56
17
0
8
8
8
16
0
8
8
0
0
32
32
0
16
1
0
0
8
8
0
8
0
0
0
0
8
8
0
0
8
0
8
0
0
1
0
0
0
0
0
0
8
8
0
0
0
0
0
12
12
12
0
0
0
0
0
16
1
4
2
0
16
16
8
28
20
20
2
8
16
8
0
0
0
0
35
35
0
0
4
8
8
0
0
0
0
0
32
0
6
6
0
14
16
0
8
0
4
0
1
0
0
0
0
8
0
8
16
16
20
20
0
0
0
0
0
8
8
8
24
16
16
16
16
8
16
24
24
24
2
2
16
0
0
8
8
0
9
8
8
0
16
16
0
0
0
40
1
1
2
0
0
0
0
0
8
0
8
0
0
40
40
40
8
16
16
0
48
4
4
29
0
4
0
2
2
2
2
16
0
0
16
16
16
0
0
0
0
0
1
1
0
8
0
8
8
8
31
31
0
0
8
8
0
8
8
0
24
2
0
8
2
1
0
0
0
0
0
0
8
8
0
0
8
8
8
0
0
2
2
0
0
0
2
0
16
0
0
4
0
0
0
0
0
48
0
0
0
0
0
0
0
0
0
0
0
4
8
8
8
8
0
0
0
0
0
0
8
1
2
0
0
0
8
8
0
0
0
0
0
0
16
0
4
0
2
0
0
8
8
8
8
0
16
16
8
8
16
8
14
14
14
2
2
8
0
0
0
0
0
4
0
4
0
0
0
2
0
0
0
2
16
16
16
0
24
8
0
0
0
0
8
0
2
2
4
0
0
0
8
8
8
8
0
0
24
24
16
32
32
8
8
8
2
8
0
0
0
8
8
0
0
0
0
0
0
0
0
16
0
0
0
8
0
0
0
0
0
0
0
0
0
8
0
8
0
0
0
0
0
0
0
0
0
8
0
16
0
0
0
8
8
8
8
8
8
8
0
16
16
16
0
0
0
0
8
8
8
4
4
4
0
0
16
16
0
2
0
0
0
0
0
4
12
0
4
4
0
0
0
0
0
12
12
0
0
0
0
0
0
0
17
24
24
24
8
16
0
0
16
0
0
0
0
8
0
18
0
8
8
16
8
16
16
0
4
0
8
0
8
0
0
4
24
16
16
16
8
0
0
0
0
24
0
32
0
0
0
0
0
0
0
0
0
16
0
0
1
0
0
8
8
0
0
24
24
2
16
0
0
0
0
0
0
30
16
16
8
4
16
0
8
8
0
0
1
0
4
4
4
4
0
0
0
0
16
0
8
8
0
0
16
0
0
0
0
0
16
0
0
6
4
0
0
0
0
0
0
0
0
0
0
0
0
0
24
0
0
0
24
4
0
0
0
0
0
0
8
10
16
0
4
0
0
0
0
0
16
0
16
16
16
0
8
8
17
0
0
0
2
2
3
16
0
1
1
16
0
24
24
0
0
16
30
2
16
4
4
4
0
8
0
1
0
0
16
8
8
4
0
16
0
0
8
0
20
16
0
1
1
1
8
0
0
8
8
32
0
0
0
12
0
0
0
0
0
0
0
0
0
0
0
6
18
18
1
16
0
0
0
0
0
16
16
16
0
8
2
8
8
8
0
0
0
0
0
0
0
0
0
16
0
0
0
8
8
8
8
24
1
17
17
40
0
0
0
16
0
8
2
2
0
0
8
0
0
0
8
0
8
8
16
8
8
0
0
0
0
16
8
0
0
8
16
0
0
15
16
0
0
8
0
10
0
0
0
0
0
20
16
8
0
0
0
8
0
1
1
8
0
0
0
0
0
0
8
16
16
0
0
8
8
0
47
0
0
0
8
8
16
0
0
0
8
8
6
8
0
16
0
0
8
16
16
16
0
0
16
24
24
8
0
8
0
16
0
16
16
4
1
1
0
0
0
8
2
0
4
0
8
0
0
0
8
0
16
0
16
16
8
0
0
0
4
0
8
0
0
0
0
0
0
0
0
0
8
12
49
0
0
1
4
0
0
8
4
8
0
0
1
16
0
0
0
0
0
0
16
8
16
2
0
0
8
0
0
0
0
0
0
0
8
0
8
0
4
0
8
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
8
0
0
8
8
0
8
0
0
0
2
0
8
0
0
1
0
0
0
0
0
8
8
0
4
16
8
16
2
0
0
0
0
24
0
56
8
8
24
24
0
0
16
0
0
0
0
8
0
0
0
0
8
2
8
8
2
0
0
0
1
8
0
0
0
0
0
16
0
0
0
0
4
2
8
8
8
22
0
20
20
0
16
16
16
16
0
0
0
8
0
0
12
0
0
24
24
0
0
1
1
0
0
0
0
0
8
8
16
0
49
8
0
0
1
1
0
0
0
0
0
0
0
0
4
4
8
0
0
4
0
2
2
0
0
0
25
0
0
0
0
0
0
0
0
16
16
16
16
16
1
8
0
0
16
8
8
8
0
0
0
0
26
0
0
5
0
0
0
0
1
1
16
16
16
0
0
0
0
8
4
4
8
8
4
4
0
0
0
52
0
8
0
24
0
0
0
8
0
0
0
0
8
8
0
2
0
0
16
0
2
8
0
2
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
8
0
10
10
10
2
0
0
0
8
0
4
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
16
0
8
13
0
16
24
24
0
0
10
0
0
0
8
0
8
0
4
0
8
8
8
0
0
0
0
0
0
0
16
0
26
0
0
16
0
0
2
2
16
1
1
0
0
0
0
0
2
2
32
0
8
28
0
0
0
16
8
8
0
0
4
4
2
16
4
4
0
13
0
0
8
0
16
16
32
32
8
4
4
0
16
16
16
16
16
16
16
16
16
0
0
0
0
4
4
0
0
0
0
0
2
0
8
8
8
8
8
8
8
8
8
4
4
4
0
0
16
6
0
0
0
16
0
16
1
1
0
0
0
24
48
8
8
8
0
0
0
8
8
32
2
0
0
16
16
8
0
1
8
0
0
4
4
0
0
0
0
0
8
0
12
12
0
0
0
1
2
2
4
8
8
5
8
0
0
0
8
8
8
0
0
0
8
8
4
4
0
0
0
0
0
0
32
0
0
16
16
0
8
0
0
8
8
0
24
16
0
8
8
8
8
0
32
8
0
0
0
0
24
24
0
16
0
0
1
1
0
16
0
0
0
0
0
0
0
16
0
0
16
0
0
8
8
0
0
1
4
0
0
16
16
16
16
0
8
0
0
0
16
16
0
18
0
28
0
20
18
18
0
0
8
0
0
0
0
20
0
16
16
0
16
0
0
0
0
0
8
16
8
0
0
0
7
8
0
0
0
0
0
0
8
0
0
1
1
1
1
1
32
32
16
16
0
0
0
0
16
16
0
0
53
0
0
0
0
0
0
0
0
16
16
8
8
4
4
8
0
0
8
8
0
20
0
0
16
8
0
8
8
8
8
8
0
0
0
0
8
8
30
0
4
8
0
8
2
0
0
10
16
0
0
8
16
8
0
0
0
0
0
0
16
0
0
16
16
0
0
0
0
0
9
0
0
16
16
0
0
0
0
8
0
0
0
0
0
8
8
0
0
0
0
0
1
0
0
0
0
0
0
8
9
9
4
0
0
0
0
1
0
0
0
0
0
4
4
4
0
0
0
8
0
0
0
0
0
8
8
8
8
0
0
0
0
8
8
8
0
0
0
0
0
8
0
0
16
30
2
0
0
0
0
0
0
0
8
8
8
0
0
16
16
8
16
0
0
0
4
0
0
0
2
0
0
0
0
0
0
0
6
0
9
16
0
0
12
0
16
0
8
0
0
24
0
8
0
8
8
1
1
0
0
0
0
0
0
2
8
8
0
2
2
2
8
8
8
8
24
24
0
0
0
20
0
0
1
8
1
0
0
0
16
0
0
8
0
0
0
32
2
0
0
0
16
0
0
0
16
16
16
0
16
8
0
0
0
0
0
0
0
0
0
0
8
0
16
0
0
0
0
0
0
8
2
0
0
18
8
0
0
0
0
0
0
0
0
0
0
8
8
8
0
1
0
1
1
1
0
16
0
0
0
0
2
0
0
0
0
4
22
22
0
0
2
13
0
8
0
8
8
4
0
0
16
22
22
0
0
0
0
16
16
32
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
8
8
17
0
0
0
16
0
16
16
48
0
0
4
4
16
1
0
0
24
0
0
0
0
8
16
8
0
0
0
16
16
16
8
0
0
0
0
0
8
8
8
4
8
8
4
0
0
12
8
0
0
0
1
8
16
0
0
0
0
8
0
8
8
3
0
0
8
8
8
4
0
0
8
0
0
0
0
16
16
16
16
16
16
16
16
16
16
4
4
0
0
0
8
0
0
8
0
8
0
0
8
8
0
4
9
0
16
0
16
16
16
0
16
8
0
0
16
16
16
2
0
0
10
10
0
0
8
8
16
8
0
22
0
8
8
8
1
48
16
0
8
0
0
0
8
16
0
0
0
2
0
8
6
0
8
0
0
0
0
8
0
0
0
0
0
4
4
16
0
8
8
8
28
0
0
2
2
8
8
8
16
1
0
4
8
16
1
0
1
1
0
0
0
4
0
0
8
8
4
0
0
0
0
0
0
0
1
1
0
26
0
0
4
1
0
16
4
8
0
0
0
0
0
0
0
0
8
4
20
20
0
0
0
0
0
0
0
24
0
0
0
24
3
8
8
0
0
0
0
0
8
0
0
0
0
0
1
20
20
0
0
0
0
0
40
8
0
2
0
0
16
0
8
0
0
8
0
8
0
8
0
0
8
8
0
0
8
0
8
8
0
0
0
0
0
2
8
8
2
0
0
0
8
16
0
0
0
0
0
8
8
1
0
0
0
0
8
8
1
0
0
16
8
3
0
0
0
16
32
0
0
0
0
8
0
0
0
0
8
2
0
0
0
0
0
16
16
16
0
0
0
8
8
0
8
0
0
0
0
4
0
0
8
0
0
16
0
4
0
0
0
0
0
8
8
8
20
20
8
2
4
8
2
2
8
4
4
0
2
0
0
16
0
8
8
18
0
8
0
0
0
0
1
0
0
0
8
8
0
0
16
8
0
8
0
0
4
4
0
0
0
16
0
0
0
0
0
0
0
0
0
8
8
0
0
0
8
0
0
0
0
16
0
16
0
16
0
16
16
0
0
0
16
16
3
8
0
0
8
8
8
0
0
0
0
0
8
0
0
0
0
0
0
8
8
0
0
0
8
8
8
0
0
0
0
0
0
0
20
20
0
0
8
8
8
4
16
0
8
8
8
4
18
8
20
0
0
0
0
0
8
0
8
8
0
8
8
24
24
0
0
0
0
16
16
16
16
0
4
4
0
0
0
8
0
8
8
0
4
0
4
16
0
0
0
0
0
16
0
0
16
0
7
2
8
0
4
16
0
0
0
0
8
8
0
8
8
8
8
8
0
0
0
0
16
1
1
1
0
0
0
19
19
16
8
0
0
16
8
0
0
0
16
16
16
9
9
0
0
0
0
0
0
20
20
8
0
0
16
0
0
0
0
36
0
4
4
8
8
0
0
0
2
2
2
32
1
1
8
0
16
8
16
16
17
17
2
2
2
2
2
0
0
0
0
0
1
0
8
0
2
0
24
8
8
8
8
8
8
8
8
0
0
0
0
1
12
8
0
0
0
32
3
3
0
16
0
32
0
0
0
0
0
16
8
2
8
16
0
8
8
8
8
0
1
16
0
0
4
4
4
4
0
8
0
0
0
0
0
0
4
0
60
0
10
16
0
8
0
0
0
0
16
16
16
0
0
0
4
0
0
8
8
0
0
0
4
0
16
0
0
0
0
0
24
8
0
0
0
0
0
0
0
0
1
4
0
0
0
0
0
10
24
0
0
0
1
4
8
8
8
8
4
4
4
1
8
8
8
8
8
17
0
1
0
0
0
0
0
0
0
0
0
0
0
16
24
0
0
16
8
8
8
8
16
0
16
17
0
0
0
8
13
8
8
0
0
17
8
8
0
20
20
16
16
32
8
8
0
0
1
1
1
8
0
0
0
0
0
0
0
0
0
8
8
8
8
16
16
0
1
0
16
0
2
8
0
8
8
8
8
8
0
0
0
0
0
0
0
0
16
0
0
0
0
32
32
32
8
0
8
0
2
8
8
24
12
0
24
0
0
16
8
8
8
0
16
8
16
9
0
0
0
8
8
8
24
24
12
18
0
0
0
20
20
0
0
0
0
0
0
16
8
16
32
32
8
8
32
0
0
0
10
0
0
2
16
16
8
32
32
16
0
0
0
0
0
0
16
0
0
0
0
0
60
32
8
8
0
0
8
8
8
0
8
0
0
16
2
0
0
9
8
4
4
0
0
0
18
32
1
4
16
0
0
0
4
0
0
0
0
8
0
8
8
8
36
16
0
4
0
1
4
16
0
0
0
12
0
0
0
0
0
8
0
8
16
16
16
16
16
4
0
0
16
8
0
0
0
4
0
24
24
0
0
0
0
0
0
0
0
16
0
16
16
16
2
0
1
0
0
0
8
8
8
0
0
0
0
20
20
8
0
0
8
0
0
16
16
16
8
8
8
1
8
8
8
8
8
0
16
16
0
0
0
4
4
0
0
0
18
0
0
0
4
4
0
0
0
0
0
0
0
0
25
1
0
24
24
1
1
1
8
0
0
8
0
0
59
0
0
0
16
0
0
0
0
0
8
0
0
8
0
0
8
8
4
8
0
8
8
0
0
2
0
0
0
8
5
0
0
0
16
0
1
1
0
0
4
16
0
0
0
24
0
8
4
8
0
0
0
16
0
3
10
56
8
8
8
1
1
8
8
8
8
0
0
0
0
0
0
0
0
16
16
0
0
8
8
8
8
0
16
2
2
0
16
16
32
32
25
0
0
0
24
24
2
0
8
0
2
2
2
0
0
0
8
14
0
16
16
16
16
0
0
0
0
0
4
32
32
50
50
0
8
8
8
8
8
27
0
8
0
0
0
8
1
8
1
1
0
8
0
16
0
0
0
0
0
0
4
8
16
1
0
0
8
0
0
0
0
0
8
32
8
8
4
9
8
8
0
0
4
4
0
0
2
2
0
0
0
0
16
0
8
2
8
8
0
0
0
0
0
8
0
0
0
4
0
0
8
8
4
0
0
0
0
0
0
0
16
0
0
16
24
24
24
24
24
0
8
16
48
1
8
0
8
0
16
16
8
0
0
0
0
0
8
8
8
0
8
0
0
0
0
0
4
2
2
1
0
0
0
0
0
8
8
0
0
0
8
8
8
8
0
0
16
8
8
0
16
0
0
0
0
0
16
8
0
0
0
0
0
0
0
2
0
57
0
0
0
0
0
0
0
0
0
0
24
0
16
8
8
35
1
8
8
8
8
0
0
0
0
48
48
0
0
5
5
16
0
0
8
16
0
0
0
0
0
0
0
0
10
8
0
0
8
8
16
16
0
8
0
0
2
0
0
0
4
4
30
0
0
0
8
0
0
0
8
0
8
2
10
0
16
16
8
0
0
1
61
2
16
0
0
0
0
0
0
0
0
0
2
0
8
0
8
8
8
8
0
16
8
4
4
0
0
0
8
8
0
0
0
0
8
8
0
16
16
16
16
16
16
8
0
0
8
8
8
8
0
0
16
0
0
0
0
2
0
0
24
0
0
8
8
16
0
16
0
0
0
16
0
0
0
0
0
8
1
0
0
8
0
0
0
2
0
0
13
16
16
0
0
16
16
8
8
0
6
0
8
0
4
8
4
4
16
0
0
4
1
0
8
0
0
16
16
0
0
9
8
2
24
0
0
8
0
0
0
8
0
16
16
16
0
8
0
24
0
0
0
0
0
8
8
8
0
21
24
24
2
8
0
0
8
8
8
4
8
8
8
0
0
8
8
8
8
0
8
0
0
0
1
1
0
0
0
0
0
2
0
1
0
0
0
0
0
8
8
8
0
0
0
0
0
0
20
17
0
4
4
2
0
0
16
16
16
2
0
6
0
0
0
0
0
18
8
0
0
17
1
2
0
2
32
0
1
33
41
0
8
0
8
8
0
0
0
0
0
0
0
16
0
8
38
16
0
0
24
24
24
0
0
16
16
16
16
1
0
0
16
0
0
8
18
18
1
0
0
3
0
0
8
0
0
4
0
2
2
2
8
8
8
8
8
8
0
17
0
0
0
8
8
8
8
8
8
2
3
2
18
2
0
0
0
16
0
8
0
0
8
16
16
0
0
0
0
16
16
12
8
8
8
8
8
8
8
0
16
0
8
0
16
16
16
16
16
24
0
0
0
0
22
0
0
32
2
16
16
4
4
0
0
16
16
0
0
0
8
8
8
2
32
0
2
0
8
8
18
16
16
0
0
0
8
0
8
0
8
8
0
0
0
0
0
8
0
0
16
8
4
4
4
0
8
8
0
20
0
0
8
0
0
0
0
16
16
0
8
18
1
0
0
0
0
0
2
2
0
4
0
24
8
0
48
0
0
0
0
0
24
24
8
0
0
0
0
0
16
1
17
17
0
0
4
0
0
16
16
0
8
24
0
0
0
2
2
4
0
4
1
8
8
0
0
0
8
0
0
0
0
0
8
8
8
0
0
0
17
17
0
2
8
8
0
8
8
0
16
8
0
16
16
0
0
0
0
0
16
16
16
1
8
8
0
8
1
0
0
0
8
8
0
0
0
0
17
0
2
16
0
0
0
16
16
0
0
0
0
0
0
0
8
8
0
8
0
0
4
4
4
0
8
8
2
18
8
21
16
16
0
4
0
0
16
16
4
4
16
2
16
0
0
16
17
0
0
2
2
8
8
8
8
12
0
16
0
2
2
2
0
0
0
0
0
12
0
7
16
0
0
0
29
1
0
0
0
0
0
0
32
32
0
0
0
16
4
16
16
0
0
0
26
24
0
16
4
0
8
16
16
16
8
8
0
0
0
2
0
1
1
8
8
0
0
0
1
0
0
8
1
0
0
2
8
0
0
0
0
0
8
8
8
8
8
16
1
0
0
0
8
8
8
8
8
0
0
0
4
4
0
4
0
0
0
16
8
0
20
8
8
16
16
0
8
8
8
32
0
0
0
1
8
8
9
9
9
9
8
8
4
36
4
16
0
0
0
0
0
8
8
8
8
8
0
24
24
0
0
2
16
8
8
16
16
0
0
0
0
0
16
0
16
0
0
0
8
0
0
32
16
0
0
0
0
0
0
16
8
0
8
22
0
0
0
21
8
8
0
48
18
18
16
1
0
0
0
2
2
0
0
8
8
0
0
16
0
16
0
0
0
0
4
0
32
16
24
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
4
8
16
8
8
8
0
25
20
8
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
16
28
16
16
0
0
16
0
0
0
0
1
1
8
18
18
16
8
0
24
0
0
0
32
4
0
0
0
0
8
2
0
0
11
11
8
8
8
8
0
0
0
8
0
0
0
4
0
0
2
8
8
0
4
0
0
8
16
0
0
0
8
0
0
0
2
8
8
0
49
49
0
8
0
0
0
8
0
0
0
16
0
0
0
16
16
16
16
16
0
0
0
0
16
16
16
0
16
16
16
16
0
24
24
24
24
16
16
0
0
22
0
20
8
8
16
10
0
0
32
32
0
0
0
16
0
2
2
2
2
2
2
2
0
8
8
0
0
0
0
0
1
16
16
0
24
0
18
25
0
0
1
24
24
0
0
4
12
8
0
0
8
8
0
16
16
0
0
3
0
8
2
2
0
16
16
8
8
8
8
1
1
1
1
0
16
16
4
0
4
0
0
0
0
0
0
0
16
0
0
0
0
16
0
0
0
16
16
4
4
4
0
0
8
8
2
0
0
4
8
0
8
8
8
0
8
8
26
0
0
8
4
4
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
1
1
1
1
1
8
24
8
33
0
7
7
7
0
8
8
17
0
0
8
8
8
0
8
1
0
0
12
4
0
1
16
13
20
5
8
4
0
0
0
16
0
16
16
8
0
0
0
8
0
0
13
4
8
0
0
8
8
0
24
16
16
56
16
8
0
0
0
56
16
0
0
0
0
16
8
8
3
0
8
1
24
8
0
0
16
16
0
16
8
0
8
2
0
8
1
2
8
16
16
0
0
0
4
0
2
0
16
16
0
0
16
16
0
0
0
0
8
8
0
0
2
8
8
8
8
0
1
1
1
1
8
0
0
8
0
9
16
8
0
0
16
16
4
0
16
16
0
0
0
0
24
16
1
0
0
0
0
0
8
8
0
0
0
0
16
16
16
8
0
0
0
0
0
0
1
0
16
0
16
0
16
24
0
0
0
0
0
0
0
0
12
16
0
0
16
0
0
16
0
8
0
0
0
0
0
32
0
0
0
0
0
0
0
0
0
0
8
8
0
8
2
12
13
12
8
0
0
8
0
16
0
0
4
4
8
1
0
0
0
16
8
0
10
16
8
8
4
4
0
8
8
8
0
8
0
16
8
16
0
0
0
0
4
2
0
0
16
8
0
0
8
8
0
0
0
8
8
0
0
0
0
8
32
0
0
0
24
0
10
10
10
4
4
0
1
28
12
12
16
16
0
0
0
16
16
16
2
0
0
0
0
0
8
58
8
17
17
0
0
8
0
0
0
0
0
4
4
4
4
2
16
4
4
4
4
1
24
8
0
8
0
8
0
0
0
0
0
8
8
0
0
0
0
0
8
8
8
32
1
8
1
1
28
0
0
18
8
16
8
8
8
0
32
32
0
0
0
4
0
0
4
8
8
0
8
8
0
0
8
8
0
0
0
4
4
4
4
8
8
8
8
12
4
8
8
0
0
8
8
0
0
0
8
0
0
0
0
0
0
0
2
2
0
0
2
2
8
8
8
0
8
16
16
34
0
0
0
0
0
0
2
16
16
16
8
20
0
0
0
0
0
0
0
16
16
16
0
0
24
20
20
0
2
2
0
0
8
0
0
0
0
0
24
2
0
0
4
0
2
4
4
4
4
1
0
0
8
8
8
0
24
0
14
8
0
0
0
8
0
0
0
0
0
0
16
16
16
16
16
16
16
16
5
4
0
0
0
0
8
8
0
0
0
0
4
16
16
16
0
0
8
8
16
18
18
18
8
59
0
0
0
32
8
0
0
0
0
0
0
4
24
24
24
1
4
0
16
0
2
4
16
8
8
0
16
8
32
32
0
0
0
4
8
8
0
0
0
0
24
0
12
0
0
0
0
8
16
8
4
8
0
8
0
8
17
16
7
0
4
8
8
8
0
1
0
16
0
0
0
0
1
1
1
8
8
0
12
8
0
0
16
2
8
0
8
0
0
0
8
8
0
4
0
8
16
17
0
0
16
17
17
8
1
4
16
0
24
0
0
0
0
8
10
10
10
10
8
32
32
0
8
8
0
0
0
0
20
20
20
5
5
5
8
0
8
8
8
8
8
8
8
0
8
0
16
16
0
0
0
0
0
1
1
20
8
14
0
0
8
4
0
0
0
0
4
4
0
0
0
0
24
16
16
0
16
16
16
16
16
20
0
15
8
8
16
16
4
16
16
16
0
8
8
0
0
2
2
1
1
1
0
16
0
0
0
0
24
24
24
16
1
0
0
0
0
2
0
16
16
16
20
20
4
0
0
34
48
0
0
16
16
0
0
0
0
0
12
16
16
0
1
8
1
16
16
8
8
0
0
0
12
12
1
1
4
8
8
8
8
16
0
8
8
32
0
1
16
4
16
0
24
0
0
0
0
8
8
0
0
0
0
16
16
16
12
8
0
0
2
0
4
32
2
0
0
0
0
0
1
1
16
8
8
0
5
5
5
0
0
0
6
6
0
4
16
16
16
8
8
8
62
62
0
0
0
8
0
0
0
0
16
0
0
0
0
16
16
16
0
8
0
21
32
8
8
16
16
8
8
16
1
0
0
0
0
32
32
32
32
0
0
0
0
0
16
26
26
26
8
0
0
16
16
16
16
16
0
28
28
0
1
0
0
4
4
0
0
8
8
8
24
8
8
0
0
0
0
0
8
8
0
4
0
0
16
0
2
0
0
1
1
8
0
0
0
2
2
2
0
0
0
0
4
0
0
8
0
2
0
0
0
8
4
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
24
8
0
0
0
8
8
4
4
1
8
2
2
1
1
0
1
1
1
0
1
4
8
8
8
24
24
0
16
16
0
16
0
0
0
0
0
1
1
1
1
8
8
16
16
16
0
0
24
8
8
16
1
0
0
4
32
24
0
16
8
0
0
8
8
16
16
0
17
16
0
16
0
0
0
0
0
0
0
8
0
16
0
21
1
8
0
8
8
12
8
8
0
0
0
32
4
0
0
9
8
0
2
0
8
0
1
8
0
0
0
0
0
12
8
0
0
0
0
0
0
16
16
16
16
1
0
0
0
1
24
1
0
0
2
0
0
12
4
4
4
1
1
8
0
0
0
0
8
16
0
0
8
0
0
0
0
0
8
0
0
0
0
0
40
40
40
40
8
0
8
8
8
8
16
2
2
2
8
8
0
0
0
0
8
8
8
0
0
8
0
8
0
0
0
0
39
39
39
8
24
8
20
16
16
16
0
8
8
24
0
2
0
20
0
8
0
2
6
8
0
0
0
0
4
32
2
2
4
4
3
0
4
4
4
8
0
0
0
0
0
0
0
0
0
0
0
16
16
4
4
16
0
8
0
0
0
0
0
0
0
0
16
0
4
16
4
24
24
24
32
0
0
0
16
0
0
0
0
0
32
8
8
4
1
6
0
8
8
0
0
0
8
12
0
4
4
0
2
2
0
0
0
16
0
0
0
0
0
0
0
0
0
0
32
8
1
40
40
40
2
2
4
4
4
4
0
45
0
8
4
4
8
8
8
2
8
0
0
0
0
0
0
0
0
1
0
16
16
8
0
0
8
8
8
8
0
0
8
1
8
13
0
0
0
4
0
0
0
0
16
8
8
8
4
0
16
0
0
0
8
8
8
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
8
8
8
0
8
2
2
24
16
4
0
0
5
5
4
8
0
0
0
8
8
0
16
16
0
8
8
8
0
0
0
4
5
5
0
8
0
0
0
0
0
0
16
16
0
0
0
0
1
1
0
32
0
0
0
8
1
0
8
0
40
16
0
0
0
24
24
8
0
0
0
0
0
0
16
10
10
10
10
0
0
0
0
0
8
8
8
20
16
16
16
8
8
8
0
20
0
0
8
0
0
0
56
24
4
4
0
0
0
8
8
8
0
4
0
16
16
16
31
8
8
10
16
8
8
16
16
0
3
0
8
8
8
0
0
14
4
0
0
0
4
16
16
16
0
0
16
4
0
0
0
0
16
16
36
0
0
16
8
0
8
8
8
0
8
16
16
16
16
0
8
0
16
0
4
1
16
16
8
8
0
0
8
4
16
0
0
0
0
8
8
8
8
8
8
0
8
1
1
0
0
2
16
0
6
6
8
0
0
0
8
0
0
0
0
8
8
0
0
0
0
8
8
8
0
0
8
8
4
0
0
4
16
0
0
6
54
16
0
0
33
8
0
0
16
16
16
16
16
16
1
0
0
8
8
8
16
16
0
1
1
4
4
0
12
0
8
1
0
8
16
16
16
0
0
8
8
0
0
0
0
8
0
8
0
24
8
24
4
0
0
24
16
0
0
0
6
0
0
8
8
8
2
2
2
8
8
8
8
0
24
24
24
0
0
16
19
19
19
0
0
16
0
0
0
8
8
8
1
1
1
1
8
1
16
2
2
16
16
8
1
0
0
37
37
37
0
0
0
0
4
0
0
8
0
0
0
28
0
16
16
16
24
24
16
24
0
16
14
14
14
0
8
8
8
0
0
0
0
1
0
0
16
16
8
0
16
0
4
0
0
0
4
4
8
8
1
0
8
20
0
0
0
8
8
5
16
16
8
0
0
0
0
8
8
1
8
0
0
40
0
4
4
4
4
4
16
16
16
0
0
44
44
0
0
0
4
12
0
8
0
0
0
0
0
16
16
17
0
0
0
2
0
16
17
0
0
0
0
8
0
0
0
0
0
0
0
16
0
20
20
2
2
2
2
2
2
0
0
0
0
1
0
8
8
16
12
0
16
16
16
8
8
0
0
0
1
1
1
28
8
16
24
24
8
0
0
8
0
0
16
16
0
0
13
0
4
2
14
8
8
8
8
8
8
57
57
57
57
57
3
0
0
0
8
16
16
0
16
8
8
2
2
2
8
0
0
0
16
16
16
0
0
0
0
0
0
8
0
8
0
0
2
2
8
8
32
32
32
16
16
16
16
16
16
16
0
0
0
0
0
8
8
32
16
16
16
8
8
8
0
4
1
1
0
0
8
8
0
0
1
0
0
2
8
0
0
0
0
0
0
24
24
24
4
2
8
4
16
0
0
8
8
16
0
8
20
20
20
20
16
16
8
10
16
4
0
28
8
0
0
0
0
8
8
0
8
8
1
32
32
8
0
0
0
0
0
0
0
0
4
4
8
8
8
25
0
0
0
0
9
8
0
0
0
8
0
8
8
18
0
0
0
0
24
8
0
2
2
2
2
8
49
8
8
0
1
1
16
16
16
16
16
8
18
16
9
9
8
0
0
0
4
0
8
1
0
1
0
0
16
34
0
0
8
8
0
0
0
8
0
0
6
6
6
32
0
8
8
0
0
2
2
2
2
2
2
2
2
2
0
16
16
16
16
16
16
16
16
8
8
0
0
0
1
2
2
1
1
0
8
8
0
4
4
4
8
1
0
8
0
4
4
16
0
0
8
1
1
0
0
0
0
0
0
0
2
18
17
0
16
16
16
16
16
0
0
0
0
0
0
45
45
20
1
0
0
0
0
0
16
1
12
12
0
4
8
8
4
4
0
0
0
8
0
34
2
0
16
16
16
0
16
0
0
0
20
4
8
8
0
0
16
16
16
8
8
0
0
2
2
8
8
0
0
0
8
8
1
8
0
0
0
16
16
0
16
16
0
0
8
8
22
22
0
16
16
1
1
16
0
0
24
40
8
4
8
8
8
8
8
8
16
2
2
0
0
24
2
0
8
8
0
0
4
4
32
32
9
8
0
0
0
0
0
0
0
0
2
2
0
4
0
18
0
0
0
32
0
0
0
0
0
0
0
0
4
4
16
32
0
8
0
18
18
0
0
2
32
0
0
8
8
16
1
1
16
0
0
0
0
16
0
8
8
8
16
0
0
0
0
0
0
1
8
0
0
16
16
16
0
2
4
4
0
0
0
0
0
4
8
0
0
0
2
2
2
0
32
32
8
16
48
9
9
16
8
8
16
0
16
16
16
16
16
16
9
8
8
4
4
4
0
4
8
0
2
0
4
4
0
16
16
16
8
4
4
8
4
0
16
8
8
8
8
8
0
0
0
0
4
0
0
0
1
0
0
0
30
0
12
12
12
32
1
1
0
8
8
0
0
8
0
0
0
0
0
0
0
8
1
1
0
8
8
8
8
16
0
0
4
2
0
48
48
1
0
8
0
0
0
0
0
18
0
0
0
0
16
0
0
0
0
0
0
12
0
0
0
8
0
0
0
8
24
8
8
8
16
3
0
0
0
8
24
4
24
1
0
4
16
0
0
1
8
8
2
0
18
16
0
0
0
0
0
0
9
9
39
39
0
8
8
8
27
0
0
8
8
16
16
8
24
8
0
4
0
0
0
0
4
4
20
0
0
0
8
4
0
0
8
8
0
16
16
10
2
0
0
0
0
4
0
16
48
48
0
16
37
0
0
0
0
0
0
0
0
0
12
12
4
0
2
28
4
4
0
0
0
16
0
16
16
10
10
10
16
8
8
3
3
16
16
32
16
0
0
0
2
32
16
2
2
0
0
0
32
1
1
1
1
1
0
8
24
8
8
0
2
0
0
0
0
0
8
0
16
16
0
0
16
16
0
16
8
8
8
0
0
8
8
8
8
8
2
8
8
8
16
0
0
1
1
1
32
0
0
16
16
0
0
4
0
16
6
8
0
0
0
0
0
8
16
16
0
16
16
16
32
6
6
16
16
9
9
0
0
8
0
24
0
0
0
0
16
0
12
8
8
4
8
0
8
0
0
0
4
0
0
8
8
0
20
20
16
16
8
8
9
9
8
8
8
1
1
0
8
8
0
16
24
24
16
0
0
0
0
1
0
0
0
0
0
18
1
16
16
16
4
4
4
4
4
4
32
16
8
4
4
0
2
8
8
8
0
0
16
0
0
0
1
0
16
16
16
0
0
8
0
0
0
1
0
8
9
0
0
16
16
16
16
0
0
2
2
0
2
8
9
9
4
4
4
4
4
16
8
0
0
4
2
9
9
9
24
8
8
5
18
18
18
0
0
12
0
1
8
1
17
17
8
8
8
17
17
8
0
0
4
4
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
32
52
8
1
16
1
1
1
1
0
0
0
16
0
0
0
0
0
4
4
4
4
0
0
0
0
2
2
0
0
0
0
0
4
0
0
8
2
8
8
8
16
16
16
1
0
0
0
0
2
0
8
3
8
0
32
1
1
0
0
0
8
0
0
24
50
50
1
4
4
4
0
8
0
2
8
32
32
32
18
0
4
4
4
0
8
8
8
0
0
2
2
16
16
6
0
0
0
0
4
0
8
20
0
0
24
24
24
8
0
28
24
2
2
16
8
24
0
8
12
0
4
4
16
16
8
4
0
24
16
16
8
8
8
8
0
25
25
0
48
8
16
16
16
0
8
32
8
8
0
1
0
0
8
16
0
0
0
0
0
16
0
16
0
0
0
24
16
16
16
0
0
0
0
8
32
0
16
16
16
16
16
2
0
0
0
2
0
0
0
0
16
16
0
4
16
0
3
6
6
0
0
0
0
0
0
4
4
4
4
0
0
3
8
8
8
16
0
8
0
8
17
1
1
8
2
0
0
0
0
0
4
24
0
4
8
12
1
0
24
24
16
16
16
0
0
2
2
2
16
0
0
2
8
0
8
8
8
8
8
8
0
0
32
2
8
8
16
0
17
2
2
2
0
0
0
16
16
16
0
2
16
28
28
8
8
8
8
8
16
0
16
1
0
25
0
8
8
0
16
0
2
32
0
0
8
16
16
16
0
3
0
0
32
1
1
0
8
0
0
0
0
16
16
16
0
0
0
8
1
0
0
0
16
0
0
8
8
16
8
8
16
16
16
16
16
16
8
29
8
0
0
4
2
0
1
1
10
8
0
0
0
16
8
33
33
33
8
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
24
16
0
0
0
0
20
20
0
0
0
32
4
4
4
32
8
0
0
0
0
8
8
0
1
1
8
8
8
8
8
18
16
0
16
0
0
16
16
16
16
16
8
0
0
0
0
0
1
8
0
0
0
0
2
2
40
0
0
0
8
8
0
0
8
0
0
0
0
16
0
0
0
24
24
0
4
12
0
50
50
50
50
0
0
32
8
24
16
16
8
1
16
0
0
0
0
0
8
4
4
0
16
16
16
8
8
16
16
16
16
16
16
16
16
0
0
0
33
33
0
4
4
4
0
0
0
0
0
0
0
8
0
1
1
16
16
16
16
0
16
8
8
0
8
8
16
16
8
0
0
0
2
2
16
8
16
16
16
0
0
0
0
1
20
25
16
16
16
8
8
1
1
2
0
8
8
1
0
16
16
16
16
8
8
16
16
24
0
0
16
16
16
0
0
0
32
32
32
0
0
16
16
8
0
1
0
0
16
52
52
52
16
0
0
0
4
0
0
0
1
1
2
0
0
16
8
0
0
0
0
8
5
5
0
0
0
0
0
2
2
16
16
40
40
40
16
0
0
0
0
0
0
0
0
16
8
16
0
0
0
1
4
1
0
0
8
8
8
8
8
0
0
0
0
8
16
17
16
16
0
0
0
0
0
8
4
8
4
8
8
0
0
9
4
0
0
0
4
4
0
16
0
8
8
0
20
32
8
8
16
0
21
8
8
0
0
0
8
8
8
0
0
1
0
8
8
8
2
16
8
0
0
0
0
0
8
8
4
0
0
0
4
4
12
8
8
16
0
0
16
16
8
12
12
12
12
0
8
8
8
0
0
0
20
0
0
0
0
0
0
5
5
0
0
0
16
2
0
0
16
16
16
1
32
32
0
0
17
0
0
0
0
0
16
16
16
16
0
0
8
8
0
0
20
16
0
0
0
0
4
4
2
18
18
2
16
16
0
1
1
17
1
0
0
0
0
1
16
32
0
0
0
0
0
0
8
4
8
8
4
0
0
0
0
8
0
8
0
0
0
0
16
16
16
0
0
2
0
0
2
8
8
8
0
0
8
8
8
1
8
8
0
0
0
0
16
16
0
0
0
0
32
17
17
16
16
24
4
0
8
22
4
16
16
16
16
8
0
0
0
16
8
4
1
0
5
5
5
8
0
1
0
0
8
2
2
2
14
8
8
48
0
0
0
2
2
9
8
16
16
0
8
8
40
8
0
0
0
0
2
0
0
8
16
16
0
8
8
2
48
0
16
16
0
0
0
0
0
0
0
0
0
0
8
0
32
32
0
0
0
0
8
0
4
4
4
4
8
8
8
8
8
8
8
8
8
8
8
16
16
16
16
16
0
0
1
1
1
4
0
0
2
0
0
0
8
8
8
0
8
8
8
8
8
32
32
16
0
0
0
4
1
20
20
20
0
8
8
0
1
4
8
8
0
8
0
0
16
0
0
4
4
4
0
8
8
0
16
16
0
4
32
56
16
16
16
0
32
32
0
32
8
0
8
10
0
0
0
8
8
8
0
8
16
16
0
0
2
0
4
4
0
60
8
8
0
16
16
16
8
8
8
8
8
4
0
0
16
1
32
4
4
16
2
8
16
16
16
16
0
16
16
2
2
0
8
8
8
16
8
0
2
0
0
0
32
0
0
8
4
4
16
16
16
0
0
0
0
8
16
16
16
0
0
0
0
0
0
16
24
32
32
4
0
0
16
16
16
8
8
8
0
3
16
16
16
16
16
4
8
8
8
8
4
0
1
2
0
0
0
1
16
1
1
1
1
1
1
1
1
1
1
8
8
4
4
0
16
52
0
8
2
2
2
8
0
0
0
4
4
10
24
0
16
16
0
16
16
16
0
0
0
24
16
32
0
16
0
34
2
8
0
16
2
8
16
24
0
16
16
0
0
8
8
4
6
24
0
16
32
8
4
4
4
24
0
0
0
16
16
0
0
0
8
8
8
0
16
5
5
5
5
5
5
4
4
0
8
4
0
0
16
0
0
16
8
4
4
4
0
0
8
0
8
8
8
1
1
1
1
0
8
8
8
0
8
1
16
0
0
8
8
8
8
8
9
24
24
40
8
8
1
0
0
0
32
32
32
32
16
16
16
8
8
0
32
8
1
1
1
1
2
0
16
8
1
1
1
24
25
24
1
8
0
0
8
8
0
8
16
0
0
0
0
16
16
0
2
2
16
0
24
8
4
1
0
4
4
4
0
8
8
8
0
8
8
8
0
16
16
4
0
0
2
2
0
0
16
16
2
0
0
0
16
16
0
0
0
0
8
0
0
0
0
0
0
0
0
8
0
0
0
0
0
16
16
4
8
4
4
33
8
0
8
8
12
16
4
0
0
0
1
0
0
12
16
16
16
16
16
16
0
0
0
4
4
4
4
16
16
16
0
1
0
8
0
7
8
1
0
0
18
18
8
8
8
0
0
32
8
0
0
16
0
32
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
2
8
8
8
0
0
0
0
0
16
0
4
4
4
0
0
0
2
0
0
0
24
8
8
8
17
0
16
4
16
0
4
0
32
1
1
1
0
2
0
0
0
1
0
1
0
0
0
0
0
0
4
0
8
40
40
0
32
0
0
2
1
17
17
0
0
0
0
0
0
0
2
8
8
8
8
0
8
36
34
0
0
0
0
0
0
0
8
8
8
1
4
4
4
1
8
0
0
0
0
8
0
16
0
20
0
0
0
0
17
0
1
24
0
8
0
0
8
8
16
48
8
8
0
0
0
0
0
8
4
0
0
0
0
0
0
0
4
4
0
2
1
1
1
8
8
8
8
8
0
0
0
16
16
16
8
28
0
8
8
0
8
1
8
4
4
4
0
0
0
0
8
8
8
0
8
0
8
0
8
32
16
16
16
16
0
0
0
18
0
0
0
0
0
4
2
0
8
2
0
8
8
8
16
32
0
16
8
8
0
8
8
0
24
4
18
8
0
0
0
0
0
0
0
32
32
1
20
8
33
33
33
6
6
16
0
1
0
0
0
20
20
8
8
16
22
16
6
0
0
0
0
8
4
2
24
0
8
33
16
0
0
0
11
4
8
16
0
8
8
8
0
0
0
8
8
0
24
2
0
20
12
8
8
8
0
0
0
8
8
32
4
8
0
4
8
8
16
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
32
8
10
0
0
0
8
16
0
28
0
0
0
16
8
0
0
0
8
8
16
0
0
0
0
2
0
0
16
0
12
12
16
16
16
16
0
0
0
24
8
16
4
0
20
20
8
1
40
0
22
0
0
8
0
16
0
0
16
8
0
0
8
8
16
16
9
0
0
0
0
4
4
0
8
8
8
0
32
0
0
0
0
0
16
8
8
4
4
1
1
1
16
16
16
0
0
0
0
0
16
16
16
0
4
0
8
8
0
0
0
0
0
0
0
8
16
0
16
40
16
16
16
0
8
0
0
0
0
0
0
8
0
0
0
32
32
32
16
16
16
0
0
8
8
8
0
0
0
0
6
6
0
0
2
2
0
0
12
12
12
20
0
0
0
0
0
0
0
8
8
8
8
8
8
1
16
0
8
0
0
0
8
12
2
4
8
0
0
0
0
0
0
8
59
8
8
4
4
4
4
0
8
8
8
8
2
16
0
0
0
0
16
16
2
2
0
8
8
8
0
0
32
0
0
0
0
16
8
1
16
8
0
0
0
16
0
8
8
2
1
32
0
8
8
8
8
8
1
1
8
9
9
6
0
0
8
8
16
8
8
8
1
0
0
0
8
16
0
16
8
0
0
16
16
16
9
0
32
0
0
16
9
9
0
0
0
0
8
10
10
8
8
8
16
8
8
8
16
0
0
16
0
9
0
8
16
8
2
2
0
0
8
24
8
32
0
24
8
8
8
8
8
0
0
0
0
0
8
0
8
8
0
16
4
2
0
8
0
0
8
0
0
1
0
0
16
0
0
8
8
8
40
48
16
18
16
0
8
0
0
0
16
16
5
8
16
0
0
16
16
0
0
24
0
0
0
0
0
0
8
0
0
0
8
16
1
0
8
8
8
16
16
0
29
29
29
0
8
0
8
32
32
0
8
16
0
0
5
0
0
24
16
16
16
16
16
0
8
0
0
0
16
16
16
8
0
0
4
32
0
8
16
16
16
0
8
8
0
8
8
20
16
16
16
16
0
0
0
0
0
0
0
0
0
1
1
22
8
0
0
0
16
16
0
0
16
16
0
0
0
0
8
0
48
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
16
16
4
4
4
1
1
2
2
8
4
4
8
0
0
24
16
8
0
0
1
0
0
8
8
2
32
32
32
8
24
24
16
0
4
4
8
8
8
0
0
32
32
8
0
8
48
0
0
17
0
16
16
0
0
0
0
0
24
16
0
0
16
16
16
16
2
2
2
2
2
2
8
0
0
2
16
16
16
16
16
16
16
0
0
8
8
24
4
0
16
16
0
32
16
8
0
8
8
8
0
0
16
2
0
0
0
12
12
12
12
1
0
2
16
8
1
1
0
2
1
2
0
8
16
0
8
8
8
8
8
0
0
0
0
0
0
32
20
0
0
8
8
0
0
8
8
0
8
8
8
8
8
8
8
2
0
8
8
2
0
0
0
0
0
1
32
16
0
0
0
8
8
0
0
0
0
0
32
32
16
16
0
8
8
8
2
2
32
0
8
8
8
8
18
18
0
0
0
0
8
8
8
8
0
8
4
16
32
0
0
0
0
16
16
16
16
16
0
0
0
32
0
0
0
0
0
0
0
0
2
2
0
4
0
8
0
0
0
8
16
20
20
0
0
0
4
0
0
4
16
16
16
0
0
0
0
16
18
0
0
4
0
58
0
0
8
0
0
0
2
52
52
52
8
9
9
0
8
8
8
0
4
0
4
0
0
8
8
2
2
0
8
8
8
0
0
0
0
1
1
0
0
0
0
0
8
0
0
0
0
16
0
0
8
8
0
0
16
0
0
0
0
16
16
0
8
8
16
8
0
5
0
4
35
3
0
0
16
16
16
16
0
21
21
0
16
0
8
8
17
1
8
16
16
0
0
8
8
8
8
17
17
17
17
16
1
0
20
0
8
8
0
0
1
24
24
8
8
8
16
16
0
8
4
4
4
1
0
0
0
2
8
24
8
0
8
0
0
8
0
0
0
0
24
9
1
1
0
16
16
16
16
16
16
4
4
4
4
8
8
8
8
0
2
32
32
0
8
8
8
8
8
0
30
8
0
0
1
0
0
6
8
8
8
8
1
16
16
16
0
58
16
16
16
8
4
16
0
0
16
16
4
4
0
22
22
8
1
1
1
0
2
4
4
0
0
32
32
0
38
8
2
0
0
16
0
0
0
8
20
20
20
0
0
0
8
8
0
0
32
32
16
1
1
0
1
1
16
0
24
8
8
8
8
0
1
8
8
0
0
0
0
8
8
8
8
2
16
16
0
16
8
8
0
8
8
8
8
8
1
16
16
3
0
4
4
16
18
18
20
8
8
24
0
13
0
0
4
8
8
8
16
16
16
16
8
0
0
18
4
16
0
22
4
0
0
8
8
16
16
0
0
0
8
8
0
0
0
24
16
16
8
8
8
16
16
8
18
18
0
4
4
4
0
0
0
16
16
0
8
8
2
2
0
16
26
2
17
4
0
0
8
0
0
8
22
24
24
24
24
24
24
4
20
0
1
1
16
16
0
0
16
0
8
20
20
20
8
0
4
16
1
1
8
8
8
16
8
0
0
0
24
24
2
0
16
0
16
16
7
0
0
16
0
16
8
8
0
0
16
16
16
16
0
0
4
8
0
8
0
4
4
18
18
0
0
0
8
0
0
16
0
0
0
0
2
28
0
0
0
0
0
16
8
17
17
12
8
0
1
0
0
9
0
8
8
0
0
0
1
1
0
0
8
33
16
8
8
0
13
13
0
0
2
2
0
2
16
16
16
16
16
0
16
1
1
0
0
0
8
0
8
0
0
8
8
8
8
33
24
0
0
0
0
9
8
8
0
4
4
0
0
0
0
16
16
16
0
0
8
17
17
17
4
0
0
8
0
0
8
0
8
18
4
16
0
0
0
8
4
8
0
16
16
4
1
8
0
4
4
8
8
8
8
8
0
16
0
0
8
2
2
6
6
24
24
24
16
4
4
4
4
16
2
0
0
0
2
16
1
1
0
0
0
5
5
5
5
0
18
18
18
18
0
0
0
0
16
2
2
0
0
0
0
0
0
0
0
0
0
0
0
16
2
2
2
0
0
0
0
8
8
40
8
8
8
0
0
0
0
0
0
0
0
0
8
8
8
8
0
0
0
0
0
1
32
8
8
24
4
16
16
16
16
8
8
2
8
26
0
0
4
1
1
0
0
0
0
0
16
16
8
8
8
0
0
0
0
8
16
32
0
0
0
0
0
0
8
0
0
8
6
16
16
16
16
16
0
41
16
0
0
8
8
0
16
16
42
0
0
0
0
10
0
0
0
8
0
0
8
21
0
0
1
0
8
16
2
2
0
8
8
8
0
0
6
16
0
0
4
4
4
4
4
4
48
16
16
8
0
8
8
0
16
0
16
16
0
0
12
12
0
0
0
16
16
0
0
8
0
2
2
18
32
1
0
8
0
0
0
8
0
2
2
16
7
0
0
4
4
4
0
8
16
2
2
0
0
0
0
0
0
0
0
2
8
1
1
16
16
4
8
0
16
16
2
2
0
8
8
8
8
0
0
5
5
0
8
8
0
0
1
8
2
2
8
4
4
16
0
0
0
0
0
8
8
8
16
16
16
16
8
8
8
8
32
1
8
16
16
16
16
16
16
20
0
0
0
8
0
1
1
1
0
1
1
16
8
32
16
16
16
16
16
9
0
16
0
8
8
8
0
8
0
0
0
8
8
2
2
2
1
1
1
0
20
8
0
0
8
8
8
0
8
8
16
8
12
12
8
16
8
4
8
0
0
16
8
8
0
0
8
0
0
0
9
0
16
16
0
0
0
16
16
16
0
8
16
0
8
8
8
0
8
8
8
16
8
8
0
16
2
16
8
0
0
0
14
0
20
16
16
8
8
48
28
8
0
0
0
0
8
8
8
8
8
0
0
8
0
0
0
2
2
2
2
0
0
8
0
0
0
0
0
4
4
0
0
16
16
0
0
33
4
8
8
8
8
16
8
8
16
0
20
1
16
16
16
0
8
0
0
0
8
4
4
8
1
16
0
8
0
0
16
32
0
20
2
2
2
0
8
8
8
8
8
0
0
0
8
0
8
4
0
1
8
8
0
2
2
2
24
24
24
8
4
8
17
17
0
8
0
0
16
16
0
0
16
16
16
16
2
0
0
8
8
8
0
0
0
0
16
8
0
0
0
8
17
17
0
1
0
0
0
0
16
0
8
0
6
16
16
16
16
0
0
0
16
8
0
16
0
26
0
0
0
2
2
2
4
4
1
16
0
0
16
0
0
0
16
0
16
8
8
0
8
8
2
2
8
32
8
16
16
16
16
0
0
16
16
16
8
2
1
1
0
0
24
16
16
16
16
0
2
16
8
16
0
0
0
16
16
8
0
0
0
0
16
0
0
16
8
9
1
0
0
4
4
1
0
0
34
34
4
4
16
16
16
16
2
10
0
28
8
1
8
0
0
0
0
16
2
8
8
0
0
1
12
12
0
0
16
16
0
2
8
0
9
8
16
8
8
8
4
8
8
2
0
0
4
16
0
0
8
8
0
34
34
34
0
32
32
32
4
0
0
0
8
9
9
9
1
0
0
16
16
1
4
16
0
0
0
0
0
8
4
0
16
0
12
12
12
4
8
8
34
2
4
8
8
8
8
8
0
8
17
8
6
0
0
0
0
8
8
1
1
0
2
8
16
0
0
0
0
0
1
1
1
0
13
0
8
62
48
0
2
2
28
48
48
0
8
0
8
12
0
8
24
24
0
2
16
16
16
8
12
12
1
0
0
0
0
32
8
16
0
0
1
16
0
32
32
32
0
0
8
0
8
8
8
8
2
0
0
0
0
0
0
0
8
8
16
16
8
16
16
4
4
16
0
16
0
0
0
8
8
0
32
8
0
0
1
32
32
0
0
8
8
0
0
8
0
0
0
0
0
0
0
0
0
11
0
0
0
0
16
16
16
16
16
0
0
0
0
1
0
0
0
8
8
0
0
0
0
0
0
8
8
0
8
24
24
24
16
8
0
0
0
0
8
8
0
16
0
16
8
0
0
0
0
16
0
0
0
8
8
0
0
2
2
2
24
0
8
8
0
0
8
16
8
8
4
4
4
5
5
5
5
4
4
1
0
4
4
0
0
0
20
0
0
0
0
0
0
1
24
24
0
2
2
8
8
0
0
0
0
0
0
8
24
24
25
24
8
8
8
8
8
17
8
0
0
0
8
24
24
0
0
8
0
1
0
0
0
0
8
6
0
1
0
1
16
25
0
0
16
16
8
0
0
45
2
0
0
40
2
2
34
42
42
2
2
8
16
16
8
4
0
0
0
0
0
8
0
1
1
8
8
8
16
16
8
2
8
8
8
16
16
15
8
8
1
0
8
8
0
1
8
8
1
16
16
0
0
0
16
16
0
0
0
24
8
0
8
10
8
8
8
8
18
8
6
16
16
16
8
8
1
4
3
0
36
0
4
0
0
0
16
16
16
0
0
16
16
8
8
0
0
0
4
0
0
0
4
18
8
0
0
0
8
8
8
1
8
8
8
8
0
16
2
2
16
0
0
0
0
0
0
16
0
16
16
0
16
2
0
8
8
8
1
1
1
19
19
0
0
8
8
4
8
0
1
0
8
0
0
8
4
1
1
1
2
2
0
0
0
0
8
0
2
16
4
4
0
0
10
10
2
9
9
0
0
0
16
8
8
8
0
16
16
16
0
16
2
2
2
16
16
8
0
0
8
0
0
16
8
8
0
1
1
0
0
0
0
16
0
8
8
8
0
16
8
16
16
16
0
0
0
0
0
4
0
0
16
0
0
0
0
0
32
4
0
1
1
1
8
0
0
10
0
0
0
0
0
8
4
10
16
8
8
8
32
6
6
6
6
24
16
16
0
0
16
0
0
8
24
24
24
24
8
16
16
0
0
17
0
1
8
0
0
0
16
16
20
0
1
8
26
2
16
16
4
4
12
4
4
4
4
0
0
0
1
1
16
16
16
16
56
56
56
0
17
0
0
0
0
0
0
8
8
4
4
0
0
0
8
8
8
16
16
16
0
0
0
8
8
0
32
32
16
0
0
0
16
0
32
0
0
0
0
16
16
0
8
0
32
1
4
4
0
0
0
0
0
0
0
0
0
41
2
2
2
2
2
8
8
8
16
0
0
1
1
2
16
16
8
2
2
2
0
8
8
8
0
33
0
0
0
0
8
24
16
16
8
8
8
8
8
0
8
1
1
0
0
0
8
8
8
1
1
8
8
0
0
0
0
0
0
4
24
16
16
16
16
16
16
5
0
0
0
0
1
16
16
8
0
0
0
32
36
36
36
36
1
0
0
0
0
0
0
16
8
0
4
4
4
8
8
16
0
17
16
16
1
16
16
16
16
0
8
8
8
8
8
5
5
0
4
8
0
0
0
0
8
4
0
16
16
0
0
0
2
2
2
2
2
2
2
2
2
2
2
6
16
0
24
40
0
0
0
0
0
4
0
0
8
8
16
16
16
16
0
0
0
0
0
19
19
0
0
4
0
4
0
0
4
4
0
4
4
4
56
0
0
26
0
0
0
25
25
25
25
25
0
0
0
8
8
8
0
0
32
16
0
32
0
8
8
8
1
1
16
16
16
0
0
0
0
0
8
8
8
0
12
0
0
4
4
0
0
0
24
0
2
24
24
8
0
0
1
0
0
4
4
16
16
16
16
0
0
8
16
0
0
0
0
16
16
0
16
0
0
0
0
0
0
2
2
0
1
1
0
0
0
0
16
16
16
16
0
1
16
8
8
0
0
8
8
24
24
0
4
8
4
24
0
0
0
0
0
2
2
8
0
0
0
1
4
16
1
32
0
0
0
0
16
0
0
8
0
9
9
0
2
2
16
0
0
0
8
0
0
0
4
4
20
0
16
16
0
16
16
0
0
0
2
10
2
3
0
12
12
12
12
0
0
2
16
16
8
8
8
10
0
2
0
4
4
14
20
0
0
0
0
1
8
0
8
0
8
4
8
0
0
0
0
20
20
9
32
8
0
0
0
0
0
8
0
0
0
16
16
16
0
1
0
0
16
16
16
0
8
8
8
0
16
16
18
0
0
0
0
2
2
0
0
1
1
1
1
0
8
0
8
0
4
8
4
4
8
8
32
16
4
4
0
0
0
12
12
12
12
8
0
0
0
1
1
6
8
0
16
16
16
8
4
8
2
16
16
16
6
6
0
8
8
10
2
24
24
0
16
16
8
8
8
17
1
0
0
8
8
8
8
8
8
8
4
0
9
0
0
0
0
4
16
16
8
0
17
8
16
16
16
16
16
0
0
0
0
0
0
0
0
0
4
2
2
2
2
2
24
0
0
2
2
0
0
0
0
0
1
0
16
0
0
0
0
0
0
0
0
8
8
4
16
16
16
16
16
16
16
16
16
0
0
32
0
20
0
16
8
16
2
0
50
0
0
1
0
0
0
0
0
4
4
0
0
0
1
0
12
24
32
0
0
0
0
2
2
8
16
16
16
4
16
0
0
0
0
32
32
8
1
24
12
12
8
0
0
0
8
0
0
0
0
0
0
0
18
18
8
0
0
0
0
0
8
15
15
32
8
8
36
0
0
0
40
40
40
40
1
9
9
0
8
8
0
0
4
4
0
0
0
8
0
24
16
16
4
0
0
48
16
32
16
8
16
0
8
16
0
0
0
0
16
16
16
16
0
4
4
4
0
0
8
19
16
16
16
16
8
0
8
16
8
8
8
8
0
32
32
32
32
32
0
8
8
0
0
16
16
0
0
16
8
4
12
12
16
8
8
8
8
1
1
16
4
4
16
20
8
1
1
0
0
0
0
0
1
0
32
32
32
32
0
0
0
0
0
8
2
2
8
0
1
1
0
0
0
8
4
0
8
0
9
9
0
0
8
0
0
16
16
8
16
16
0
0
8
0
0
2
2
0
1
16
16
16
16
0
0
8
8
8
0
24
24
4
4
0
0
0
0
0
17
17
17
17
8
0
2
8
8
16
8
0
0
0
0
4
4
0
0
2
8
8
16
0
0
0
0
8
16
0
0
0
0
2
2
2
0
0
0
32
32
0
0
0
0
17
0
8
8
8
8
16
8
8
8
8
8
16
0
4
4
0
16
18
18
0
0
0
0
12
8
16
0
0
8
0
0
17
17
8
2
2
4
12
12
12
0
0
0
24
16
16
16
0
0
0
0
0
0
2
2
0
0
1
1
0
12
8
2
2
0
0
0
0
32
8
0
0
0
0
4
4
0
0
0
0
0
0
0
8
0
0
0
32
32
8
0
0
0
0
0
0
8
0
8
8
4
8
1
1
0
8
0
0
8
8
8
8
0
0
8
5
4
0
32
0
0
0
8
8
0
8
16
0
51
0
0
16
16
8
2
0
8
16
0
32
16
16
16
16
0
16
16
16
9
25
9
0
1
1
17
0
0
8
8
12
0
0
0
0
0
0
2
2
2
0
0
0
0
8
16
8
8
0
0
6
0
8
16
16
16
8
8
16
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
8
16
16
16
16
16
0
17
16
16
16
4
8
16
16
8
0
0
0
8
4
4
4
4
4
0
0
0
4
0
2
4
16
0
0
0
0
0
16
16
0
8
8
8
0
0
0
0
16
0
12
8
8
0
16
4
4
8
0
1
1
0
8
0
0
8
0
1
1
2
18
18
16
16
0
0
0
0
0
0
16
16
16
16
16
16
16
16
16
16
16
8
8
8
8
16
16
27
27
16
16
16
8
0
0
0
12
3
3
2
2
2
17
17
8
0
0
0
0
40
40
0
0
0
0
0
0
0
8
8
8
16
16
17
16
16
16
0
8
8
8
8
18
0
0
0
0
4
4
0
0
0
0
8
8
8
8
8
0
8
8
8
8
8
8
19
0
8
8
0
18
18
18
8
8
16
0
0
16
0
0
0
0
0
0
0
8
25
24
16
16
8
0
0
0
8
8
0
0
8
0
0
4
4
10
10
50
0
16
4
4
4
4
4
4
0
16
16
2
4
4
33
32
8
10
8
20
0
0
16
0
4
4
8
0
20
0
1
0
8
16
8
8
31
16
16
16
0
8
0
8
8
16
0
0
0
1
0
8
8
0
0
0
16
1
0
1
8
8
9
6
14
0
0
0
16
4
8
0
9
0
0
0
0
32
16
0
0
0
0
0
16
16
0
8
16
8
8
8
0
0
0
0
16
57
0
0
0
0
0
0
0
1
1
8
1
0
0
0
0
0
8
0
24
1
8
8
0
24
2
0
0
22
22
41
16
16
16
0
4
0
16
16
16
16
16
8
4
16
16
16
0
0
0
8
8
2
8
16
2
0
0
32
16
40
40
32
1
32
32
32
32
16
16
16
3
0
0
0
16
16
16
0
1
0
0
8
16
0
0
16
16
34
16
0
0
0
0
0
16
16
1
1
1
8
8
8
0
8
4
4
8
16
0
0
0
16
16
0
8
0
0
0
0
0
0
0
0
8
0
2
0
0
0
8
8
0
8
4
0
1
1
0
16
4
0
0
0
0
0
48
48
0
0
0
0
0
6
0
0
0
26
26
26
8
8
16
0
8
16
16
0
0
0
8
1
8
0
9
9
0
0
0
0
4
6
6
6
0
0
0
0
33
33
0
0
0
8
8
0
0
0
0
1
8
8
8
8
0
0
0
16
0
0
0
16
16
16
8
8
16
0
0
0
0
1
2
8
32
0
8
8
8
8
0
0
0
8
8
8
2
0
16
16
0
56
0
0
0
28
28
8
8
8
8
8
8
8
16
32
0
0
0
0
0
0
0
0
0
16
16
16
0
32
12
12
8
8
1
36
32
0
8
0
0
0
1
1
1
1
20
20
8
8
8
57
57
57
57
8
0
4
0
0
16
0
0
0
8
8
1
1
0
8
8
8
0
8
8
0
0
2
2
2
8
8
0
8
8
8
8
8
8
1
0
4
0
0
16
16
16
8
8
0
8
8
8
8
1
2
2
0
4
4
4
0
0
0
0
0
8
18
0
8
8
0
4
0
4
0
0
0
0
0
0
0
0
0
0
0
28
28
8
8
8
0
0
8
0
1
0
0
2
8
8
12
0
0
8
4
0
8
8
8
8
16
16
16
16
16
16
2
0
2
0
8
16
16
16
0
0
0
8
18
8
8
0
1
0
0
0
8
8
8
8
2
16
16
8
0
0
0
16
0
2
11
0
16
4
4
8
0
0
4
4
0
8
8
8
16
16
0
16
0
0
0
0
4
8
1
0
0
0
0
0
0
0
1
16
16
0
8
4
8
1
0
0
8
8
0
8
0
0
8
16
16
1
16
0
2
0
0
8
20
20
0
0
0
16
24
8
8
4
0
16
16
16
16
16
0
0
0
0
0
1
0
16
0
0
48
8
12
0
32
32
8
9
9
0
0
0
8
30
0
32
32
2
8
0
0
0
0
0
8
8
8
8
8
8
12
14
4
8
8
8
8
0
0
0
0
32
0
4
8
16
0
0
8
0
1
20
20
20
20
0
0
0
0
0
1
1
4
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
16
0
1
1
1
0
0
0
8
8
0
0
32
32
0
16
0
45
45
0
8
0
0
1
20
16
16
4
0
0
0
0
8
8
8
0
0
5
0
0
16
0
8
17
8
24
0
0
0
0
16
24
24
24
24
0
0
1
17
8
28
28
25
25
25
14
16
24
0
16
0
0
8
8
0
0
0
8
16
16
16
8
8
8
8
4
16
16
16
0
0
0
0
16
16
16
0
0
2
0
0
8
10
8
8
8
8
0
0
0
0
0
0
0
0
16
32
0
16
16
0
0
0
8
32
32
32
32
32
0
0
0
0
0
40
2
0
0
0
8
8
0
4
4
8
2
32
0
8
8
0
16
4
16
1
2
8
8
8
8
0
8
2
2
8
8
0
24
2
16
16
2
0
0
1
2
2
16
0
0
2
2
2
8
8
16
0
8
1
4
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
0
8
0
8
0
0
24
24
2
2
0
4
25
25
25
0
0
1
0
0
0
0
16
8
4
4
4
4
1
0
0
0
0
0
0
0
0
4
4
2
2
2
8
8
8
0
0
0
4
4
4
8
40
0
16
16
16
0
0
0
0
8
8
8
0
20
0
0
8
8
61
16
16
1
1
0
0
16
12
8
0
8
0
16
16
8
8
8
0
0
0
16
4
8
8
0
0
0
8
16
16
4
0
0
16
16
16
18
18
4
4
4
4
0
0
0
0
0
0
8
8
8
8
16
8
0
45
4
4
32
32
0
8
8
8
1
8
8
1
0
0
9
9
9
0
8
0
0
0
8
16
16
0
0
16
16
16
12
16
16
16
16
8
2
16
24
8
0
0
1
0
0
0
0
16
16
16
16
16
8
8
0
16
16
16
17
16
0
0
0
0
0
16
16
4
1
8
8
24
8
0
0
0
8
8
16
8
0
0
17
0
0
8
8
8
8
8
16
16
16
0
0
0
24
0
16
4
32
32
32
0
0
32
8
0
0
0
0
6
16
16
8
8
8
0
0
2
16
18
8
8
8
6
0
16
0
16
16
16
4
4
0
0
0
0
0
0
32
0
0
0
0
16
16
8
8
0
8
8
8
0
0
0
0
0
0
0
8
5
5
16
0
16
0
16
1
0
0
32
32
26
0
0
0
0
0
0
0
0
10
10
32
0
0
0
1
0
0
0
0
16
16
0
0
16
4
0
24
24
0
0
0
0
0
0
4
21
16
0
8
8
8
32
32
0
0
0
0
0
1
8
0
0
8
0
16
16
16
16
0
0
16
16
8
0
8
16
16
0
0
0
8
0
0
0
16
0
1
16
8
0
0
3
8
0
4
16
0
0
4
1
0
0
0
2
16
9
10
8
20
20
20
20
2
0
8
3
0
0
0
0
0
2
2
33
0
8
4
0
16
16
36
36
25
0
0
8
8
29
0
0
0
1
0
8
2
3
7
8
8
8
8
16
0
0
0
2
0
20
20
0
0
0
14
0
8
0
0
0
8
24
24
24
0
8
0
0
0
0
1
8
8
8
0
0
0
1
0
0
8
32
1
0
0
0
0
0
16
4
8
0
0
16
16
13
0
0
2
2
2
2
8
1
0
0
0
1
1
1
1
1
8
12
0
24
16
0
5
5
0
4
1
1
0
0
0
8
24
24
0
5
0
0
8
4
8
50
16
0
0
8
8
16
8
8
8
0
8
0
14
4
2
0
0
0
0
8
0
0
30
30
16
16
16
0
0
0
0
0
1
1
1
1
0
8
8
8
8
8
8
8
8
4
4
0
16
8
16
16
16
16
16
16
16
2
8
0
1
8
4
16
17
8
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
16
16
16
0
8
8
0
0
4
0
8
8
8
8
8
8
2
8
16
8
8
0
8
8
8
8
0
0
5
0
0
20
16
0
0
8
8
8
8
0
0
0
4
0
8
8
8
2
2
0
22
2
2
8
0
16
16
8
0
0
20
0
0
0
16
16
0
2
0
0
8
32
8
16
32
32
32
16
0
2
8
0
0
0
0
0
4
0
0
0
4
0
0
16
28
28
0
2
0
16
24
8
8
8
8
0
0
0
0
0
0
0
0
8
8
0
4
4
0
0
0
0
0
10
10
8
8
0
0
0
0
0
0
0
0
10
28
16
16
16
16
0
16
28
0
0
16
24
16
0
0
0
0
1
16
16
16
16
18
0
8
8
4
4
4
4
4
4
4
8
1
1
4
16
0
0
24
0
16
8
8
8
0
0
0
4
8
16
16
16
0
0
8
1
41
32
32
8
0
16
0
10
1
1
1
16
6
0
24
16
0
0
0
45
32
32
16
0
5
0
16
1
0
0
0
0
2
16
0
4
8
0
0
0
4
8
0
0
8
1
4
0
8
0
0
0
0
2
2
2
2
2
16
1
1
8
8
8
8
0
4
2
2
8
4
0
0
32
32
32
32
32
16
16
17
0
0
0
0
0
0
0
0
1
1
16
8
0
0
0
8
0
8
0
0
24
8
0
0
0
0
16
16
16
16
0
0
16
16
24
24
0
0
0
0
0
8
8
0
0
0
18
8
1
16
16
0
0
2
2
8
8
24
24
0
16
8
16
16
16
16
16
16
8
8
8
0
0
0
8
0
0
16
16
2
2
2
0
1
1
4
0
8
8
8
8
16
8
0
2
0
0
0
4
8
0
0
0
0
8
0
0
0
0
0
0
0
0
0
1
1
1
1
16
16
16
16
16
0
0
0
4
4
4
0
0
0
6
0
16
16
4
0
0
0
1
1
1
1
1
8
0
16
16
1
16
0
0
0
0
0
0
0
0
0
0
0
0
8
0
4
4
4
4
8
2
0
16
16
8
2
8
0
16
0
8
24
8
8
1
16
0
0
0
0
0
6
20
20
20
20
8
8
16
0
0
0
0
0
4
0
0
0
0
17
8
8
8
8
8
8
8
2
2
2
2
2
2
9
9
8
8
0
2
2
0
0
0
16
34
34
34
8
8
0
0
0
8
0
16
16
16
0
0
8
0
8
8
0
0
8
0
0
20
0
4
4
28
0
0
16
16
16
16
16
28
2
2
0
0
0
0
2
2
0
0
0
0
0
0
2
8
8
0
0
0
8
8
4
4
16
8
0
32
0
0
0
0
8
16
16
16
8
8
8
8
8
8
8
8
16
0
0
9
16
16
16
16
6
6
6
6
8
8
8
0
0
0
0
0
0
0
0
8
0
0
42
12
0
2
4
16
22
22
22
16
16
16
0
4
17
17
17
17
17
17
17
17
0
8
8
16
16
17
0
0
0
0
0
4
4
8
8
0
0
0
0
0
16
0
0
0
0
8
32
32
3
3
0
0
0
32
0
4
2
0
16
0
8
8
24
16
0
0
0
8
8
8
1
1
16
0
16
2
2
8
8
17
4
1
16
16
8
0
4
16
0
16
8
16
16
16
16
8
0
0
0
0
2
0
0
0
0
1
0
0
4
4
12
12
12
8
8
18
0
0
0
0
0
0
8
0
8
8
0
8
16
1
1
1
0
8
2
16
56
28
0
0
0
0
16
16
8
16
24
0
4
8
0
16
16
16
40
24
0
18
18
16
16
16
8
2
0
0
0
0
8
0
0
0
34
4
1
1
0
0
16
0
18
16
1
8
0
0
0
16
24
16
0
8
8
8
0
0
16
16
8
8
8
8
8
0
0
5
0
0
0
0
1
12
16
1
0
1
0
0
1
8
8
0
0
8
0
2
8
8
8
8
8
0
0
0
8
8
0
0
16
16
16
16
16
16
0
8
24
13
16
0
0
0
0
8
16
21
4
4
8
0
0
0
16
17
0
0
0
0
8
8
0
8
8
0
0
0
0
8
8
2
8
0
0
0
0
0
8
0
0
0
8
8
2
0
32
32
24
24
0
0
0
8
0
8
0
8
8
0
0
0
0
17
0
0
24
36
36
5
5
16
4
8
8
0
24
0
0
16
16
8
8
8
0
0
16
4
4
4
0
24
0
0
8
0
0
0
0
0
0
0
0
0
0
0
3
4
0
0
8
0
36
16
0
8
8
0
56
56
8
4
0
0
0
1
0
0
8
0
8
16
0
0
0
0
8
0
8
16
0
1
1
0
0
0
0
0
4
0
8
8
3
0
0
1
1
8
16
16
16
0
24
0
12
0
0
8
8
12
4
4
40
4
44
44
1
8
0
25
25
0
8
8
4
1
0
0
1
1
1
1
1
1
8
0
0
0
1
0
8
0
0
2
8
0
0
12
12
0
0
16
16
24
24
24
17
33
0
6
8
8
8
20
0
1
1
1
23
23
0
0
0
8
8
2
16
16
16
3
8
8
8
0
0
1
2
8
4
0
16
0
0
8
0
0
0
24
0
0
0
0
0
0
0
16
1
16
0
0
0
0
0
16
0
0
0
8
0
0
24
8
32
8
8
16
16
16
18
16
8
8
0
4
4
4
16
24
0
0
0
8
0
0
1
1
0
0
4
4
4
4
0
16
0
0
0
0
17
16
16
32
0
0
0
0
0
0
4
8
0
0
4
0
0
0
12
12
0
32
8
8
4
0
32
0
16
16
32
1
1
0
4
8
0
8
8
16
0
8
8
8
4
0
26
26
8
16
8
8
0
0
0
32
0
0
0
4
29
0
0
0
0
16
20
4
4
9
0
0
0
0
16
16
16
0
0
3
28
0
0
8
8
32
0
16
1
1
16
0
0
2
2
2
2
24
24
0
0
8
0
0
0
16
16
0
1
1
0
4
4
16
16
16
16
8
8
4
4
0
22
16
16
0
8
8
8
2
2
9
9
9
4
16
0
8
10
0
24
24
8
12
12
16
16
16
4
4
4
0
0
16
16
16
16
2
0
0
5
17
16
16
0
10
0
0
0
0
0
0
0
0
0
16
16
8
4
4
0
0
0
0
32
48
0
0
0
0
0
0
16
16
16
0
16
0
0
0
32
32
4
2
2
2
1
1
17
1
0
0
8
8
0
0
0
0
0
0
0
8
10
0
4
16
2
2
2
2
2
24
24
0
0
0
0
0
0
14
16
16
0
16
0
0
16
8
8
8
32
32
8
0
2
2
2
2
39
4
4
0
16
16
8
0
0
4
0
32
32
32
32
32
8
8
8
0
0
16
16
0
0
0
0
2
8
16
0
4
0
16
0
0
32
32
0
8
16
1
8
8
16
16
16
8
8
0
8
8
20
8
0
0
24
2
0
0
8
16
16
16
24
16
16
8
0
0
13
13
13
13
1
8
8
32
1
1
0
0
0
20
0
0
20
8
8
8
0
0
24
24
24
8
24
24
0
0
0
0
1
10
6
6
8
0
0
8
0
0
0
8
0
16
16
16
2
2
0
2
2
2
0
0
0
0
0
0
0
0
0
8
0
16
0
0
0
8
0
16
0
0
0
0
0
0
0
8
0
0
0
4
8
8
8
0
1
1
1
2
0
0
0
8
8
16
0
0
24
16
0
0
0
8
0
0
17
0
8
0
0
0
0
0
0
0
0
0
8
8
0
8
8
0
1
1
1
0
0
8
8
8
8
8
8
8
16
16
0
32
32
0
0
9
6
0
0
16
0
0
16
16
16
0
0
0
0
0
1
16
0
8
0
0
0
0
0
16
0
0
0
8
8
8
8
8
0
0
0
0
16
16
16
0
0
0
0
0
16
24
8
0
0
0
8
8
0
22
0
16
16
16
16
8
0
1
8
8
8
8
8
8
0
0
0
0
24
24
4
4
0
4
8
8
0
16
16
8
0
0
0
0
8
8
0
0
0
8
0
0
0
0
4
0
0
0
0
0
0
8
8
0
16
40
40
0
0
16
1
0
8
8
1
0
8
8
8
24
16
16
8
8
16
16
16
4
16
16
0
0
0
25
1
8
1
1
16
8
8
0
1
1
1
16
16
32
8
8
8
42
8
8
8
8
8
8
2
8
2
0
0
1
16
16
16
0
0
0
0
4
4
0
0
0
24
4
8
8
4
24
24
24
0
16
0
0
8
8
0
0
0
8
8
0
0
4
0
1
0
0
2
8
8
8
2
2
2
8
0
8
0
0
0
20
20
0
0
24
24
24
8
8
16
16
6
8
2
2
0
4
10
0
0
2
0
0
0
0
0
0
8
8
8
1
1
16
8
0
0
16
8
24
24
24
8
8
8
0
16
16
32
0
16
16
16
16
16
8
0
0
8
0
0
0
16
16
0
8
4
0
0
2
0
0
8
0
8
8
8
8
1
1
8
8
8
8
16
32
0
0
0
8
16
34
16
8
2
8
1
8
8
0
24
0
0
4
0
8
8
20
20
0
0
0
0
32
32
32
32
0
0
0
16
8
8
0
4
32
24
24
0
0
0
8
8
8
8
8
8
32
32
8
0
0
0
0
0
0
8
0
16
0
0
0
0
0
0
0
16
0
1
0
2
2
2
32
16
0
16
16
16
8
4
16
0
2
8
16
16
16
16
0
8
1
1
16
0
1
1
1
1
1
1
1
1
0
8
0
8
28
28
28
0
16
0
0
0
0
0
42
32
8
8
8
8
0
8
8
0
8
8
8
8
1
17
16
0
8
16
8
0
8
8
0
0
0
0
16
16
16
16
8
1
0
0
0
8
1
1
1
0
22
13
16
16
16
8
8
0
0
4
0
0
0
4
16
40
16
8
0
0
0
0
0
0
0
0
0
16
16
16
16
0
8
0
0
0
8
0
17
0
0
0
0
0
0
0
8
16
16
16
8
0
32
4
16
0
0
0
0
0
4
0
32
24
56
0
8
8
0
17
17
16
4
4
4
4
8
16
8
0
0
0
24
24
20
8
8
0
0
0
0
0
1
0
0
0
0
16
4
0
0
0
12
12
2
16
0
8
1
0
0
4
4
16
16
16
0
0
0
1
8
24
16
32
0
0
16
24
1
1
0
0
0
0
0
8
16
16
16
4
8
8
0
0
0
0
0
0
0
2
2
0
2
0
1
0
0
0
0
8
8
0
1
1
0
16
16
16
16
16
16
4
1
16
8
0
0
0
0
16
4
0
1
8
0
12
0
2
0
16
0
0
8
16
8
0
1
17
16
0
0
0
8
24
0
0
0
0
0
16
4
0
0
16
4
0
5
16
8
33
17
16
7
8
8
0
4
0
0
8
0
0
4
2
2
0
0
0
0
4
18
8
16
16
8
8
0
0
0
16
0
0
0
0
0
0
8
0
8
8
0
1
1
20
2
2
0
0
0
18
8
0
12
0
24
0
0
0
8
8
8
8
0
4
8
8
0
2
16
0
8
8
8
0
25
2
2
2
0
0
0
0
0
0
0
16
2
8
8
0
0
0
16
24
52
40
4
0
0
0
0
0
0
0
0
1
8
16
16
20
8
4
4
57
48
0
8
8
8
0
0
4
0
8
8
8
8
8
0
0
1
0
0
0
8
8
24
16
0
0
0
1
0
0
2
40
16
16
0
0
8
32
0
0
0
0
0
0
0
0
9
0
4
8
16
8
0
0
0
2
4
16
16
16
24
0
4
2
12
2
2
0
0
0
0
2
2
17
0
8
8
8
24
0
0
0
4
0
0
0
0
0
8
8
12
0
0
0
0
0
4
20
20
2
2
0
1
1
16
2
16
0
8
8
9
0
0
0
0
0
0
0
0
16
16
2
2
0
0
0
2
8
0
0
0
16
2
0
0
0
8
24
1
0
0
0
0
0
0
16
16
0
0
0
1
4
4
0
0
2
2
0
0
0
0
0
14
1
0
0
0
0
0
13
13
8
8
8
16
0
12
8
16
16
0
8
8
0
0
0
16
16
4
4
8
8
0
0
4
4
4
4
4
0
0
0
8
8
16
8
0
8
0
16
16
8
0
0
16
8
8
16
0
8
8
8
2
2
0
0
0
32
32
32
8
8
8
8
8
1
0
0
0
8
8
8
8
0
8
7
16
1
8
0
2
2
4
0
16
16
0
32
0
8
1
1
16
16
16
2
2
8
10
0
0
8
8
0
21
8
4
4
2
16
16
0
0
0
0
1
1
8
18
16
16
0
0
32
32
0
24
4
8
0
16
16
0
8
0
8
8
2
25
0
8
8
16
16
16
8
0
0
0
0
8
0
0
0
4
32
4
8
0
24
0
32
0
0
0
0
16
8
20
0
0
0
0
3
2
2
16
16
16
0
8
16
9
20
0
16
16
1
1
1
1
24
8
16
0
20
20
8
6
6
0
0
0
0
0
0
0
8
8
8
0
16
0
0
0
32
32
16
16
24
4
4
4
16
0
24
16
0
2
0
8
8
32
32
0
16
16
4
4
4
2
0
0
0
0
8
0
16
0
0
0
0
26
8
8
8
16
16
16
8
8
16
2
0
16
0
0
0
0
0
0
0
0
0
0
0
16
16
0
8
8
8
8
0
0
18
8
9
0
8
8
1
0
8
8
24
0
24
24
24
16
16
16
8
0
0
2
0
0
4
4
0
8
4
0
0
8
8
8
8
20
0
16
0
0
16
0
32
56
4
2
1
8
8
2
1
16
1
1
0
0
8
8
8
0
16
0
8
8
0
0
0
8
0
0
0
0
0
10
10
0
59
1
8
8
8
8
0
0
16
25
8
4
8
0
0
0
16
0
0
0
0
8
20
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
8
20
0
0
0
0
4
8
8
4
0
0
16
0
0
0
16
16
16
16
16
16
2
0
8
0
0
8
0
8
8
0
0
4
4
4
0
0
0
4
8
2
2
2
2
0
0
0
0
0
0
16
16
8
8
8
8
4
0
0
0
0
0
0
0
16
12
0
0
8
8
8
16
8
8
6
0
8
0
0
0
0
0
0
3
3
24
24
24
4
4
0
0
0
0
0
16
1
16
8
8
8
8
0
1
0
0
0
12
12
8
8
8
26
42
24
24
8
16
32
0
4
4
4
40
8
16
8
16
16
16
4
0
9
11
11
18
0
8
8
8
8
0
2
8
8
8
8
0
0
0
0
0
0
4
0
0
0
0
32
16
0
0
0
0
4
8
9
4
8
2
0
0
28
32
32
8
0
16
16
24
24
4
4
0
0
0
0
0
0
8
4
16
16
16
0
0
0
0
0
0
8
8
1
1
1
8
0
0
8
8
8
8
2
16
0
4
2
8
0
8
8
8
12
5
5
5
2
8
8
5
8
0
0
0
0
0
4
1
1
2
7
7
7
0
0
8
37
0
12
0
1
0
8
0
0
0
0
16
16
16
0
1
8
8
0
0
16
0
0
16
16
8
16
16
8
0
1
1
0
8
2
16
16
8
0
0
0
24
2
0
0
0
0
0
0
32
8
8
0
4
4
8
0
0
0
8
4
1
1
1
0
0
0
0
0
0
0
16
0
0
0
0
21
2
4
8
1
0
0
4
4
32
0
16
45
26
16
0
8
8
14
4
4
4
4
0
0
0
32
32
0
0
0
0
16
5
5
16
0
0
0
16
8
1
0
0
8
8
16
16
16
16
16
0
0
0
0
1
1
1
0
0
16
21
2
0
9
9
25
0
0
0
0
4
0
8
8
8
8
0
0
0
0
0
0
16
0
2
2
0
16
16
16
30
8
32
1
20
0
8
8
8
8
0
0
4
24
8
0
0
4
4
4
4
8
0
4
2
2
32
8
8
16
1
1
0
24
8
8
48
0
12
8
8
0
0
0
0
16
0
0
8
0
0
0
0
0
44
16
16
16
16
4
8
24
0
0
0
0
8
0
0
0
0
0
0
8
8
8
0
0
8
0
8
8
16
0
0
0
8
0
16
49
0
8
8
0
12
12
12
16
21
16
16
16
16
16
16
16
0
8
0
1
1
1
0
16
16
16
16
16
0
0
1
1
16
16
0
0
16
1
0
4
8
0
0
0
0
0
0
8
0
0
0
0
0
0
4
4
9
16
16
16
12
0
16
24
0
0
4
4
4
4
0
0
0
0
5
24
24
0
0
0
16
8
8
0
0
28
48
48
16
8
8
0
8
0
0
0
0
0
0
0
0
0
1
1
1
0
0
8
1
0
0
0
0
8
8
8
16
16
16
12
12
0
0
8
1
1
1
16
8
16
2
1
4
4
4
4
0
0
0
5
8
4
4
1
16
16
16
0
0
0
0
0
21
5
5
5
0
0
0
2
2
3
8
5
0
8
0
0
0
0
0
0
8
0
16
26
0
16
16
0
8
8
8
0
0
0
2
16
0
4
0
1
0
0
0
8
6
6
6
2
4
18
18
8
0
0
16
32
0
16
20
16
16
0
16
0
0
0
8
8
16
8
8
8
1
1
4
4
0
0
4
0
16
0
0
28
16
4
57
57
8
0
0
0
0
8
8
32
0
0
0
2
2
8
8
16
8
0
0
21
21
4
0
16
8
0
0
8
0
0
0
8
4
0
2
1
8
16
8
8
0
0
0
0
0
4
4
4
18
0
0
0
0
8
8
0
0
12
12
4
0
0
0
8
2
16
0
0
0
0
1
0
1
0
1
4
4
8
8
0
16
8
10
16
16
0
0
0
8
8
34
0
4
8
0
0
8
8
8
0
8
0
0
0
0
0
0
8
48
32
32
8
8
8
0
42
0
4
4
0
0
16
16
8
2
2
2
0
0
0
16
16
0
8
8
18
40
16
8
0
8
24
8
40
0
0
24
16
16
32
0
32
2
0
8
16
16
16
16
16
16
1
40
40
0
24
0
8
0
1
0
0
27
27
8
8
16
1
9
0
8
16
0
0
4
4
8
0
0
8
0
0
18
2
0
32
32
8
8
1
1
1
1
1
24
24
8
0
0
0
0
32
0
2
4
4
4
4
16
8
8
8
0
0
0
0
16
16
0
8
1
8
8
8
8
8
0
0
0
0
1
0
0
6
6
6
4
16
16
16
4
4
0
4
8
8
8
0
0
0
8
8
17
8
8
8
2
2
2
2
2
0
2
0
0
16
16
16
16
24
16
1
8
8
0
0
4
4
1
3
18
16
16
1
1
18
18
0
8
8
8
8
8
8
0
1
16
0
0
0
1
1
1
1
8
8
8
0
0
4
4
4
0
0
0
0
8
0
0
8
8
48
20
20
0
16
8
8
8
8
8
8
8
0
0
0
0
1
0
0
0
0
16
0
0
16
16
0
2
8
8
0
0
0
8
8
8
0
8
0
0
16
0
0
0
0
0
0
16
1
1
1
0
0
16
9
9
9
0
0
1
0
0
0
0
0
0
12
0
2
0
0
0
0
0
0
4
8
32
0
0
0
27
27
32
32
16
17
17
0
0
0
8
10
10
0
0
8
0
0
8
8
8
0
0
0
16
16
16
16
16
0
0
2
2
4
4
8
4
4
4
0
8
8
8
4
4
0
0
8
8
8
0
0
0
0
0
0
0
4
4
32
0
4
4
8
0
8
16
16
0
0
0
24
24
0
8
8
8
8
8
16
8
8
24
4
0
16
16
2
2
0
0
24
8
0
3
3
3
32
0
0
0
16
16
16
0
8
30
30
8
1
1
0
0
0
0
16
16
0
56
56
1
8
1
4
5
0
0
0
0
0
16
8
8
0
16
16
24
0
0
8
8
8
8
12
8
32
0
8
8
4
0
4
16
1
8
0
33
33
33
0
0
0
0
0
0
0
16
16
0
0
16
0
4
4
1
1
0
0
0
0
0
0
0
0
0
0
0
0
24
5
0
1
0
4
8
0
8
0
12
0
0
24
16
8
16
0
4
16
12
0
24
24
24
4
4
0
20
20
8
0
0
2
34
32
1
8
17
0
1
0
8
8
32
16
16
0
8
32
16
16
16
16
8
8
8
16
0
16
16
16
0
0
0
0
8
1
16
16
16
8
0
1
16
0
0
16
16
16
16
16
8
8
8
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
8
0
0
0
0
17
17
17
14
14
24
16
16
16
0
0
1
1
0
0
0
0
0
8
20
20
20
20
0
0
4
4
4
8
8
8
8
16
1
0
8
0
4
8
8
0
10
10
9
8
16
9
25
16
16
16
8
8
8
8
24
0
16
0
17
17
8
0
8
8
8
0
8
8
0
0
0
0
14
14
0
0
0
0
1
32
32
32
32
0
0
16
0
0
16
24
24
24
8
8
8
16
4
0
2
8
8
8
8
8
16
0
16
0
8
8
25
25
0
0
16
16
16
12
17
17
8
2
8
8
8
8
8
0
0
0
0
0
16
3
3
0
0
0
0
0
0
0
0
16
0
0
24
16
16
0
4
8
0
0
2
8
8
24
0
0
0
32
32
0
1
1
1
16
0
0
0
0
0
0
0
0
8
8
0
8
8
8
12
0
1
0
1
8
2
5
0
0
16
0
0
16
0
0
4
0
8
1
2
2
0
8
8
8
8
8
0
0
4
4
4
4
4
4
0
0
0
16
8
8
0
8
8
8
0
0
0
0
16
16
16
16
24
0
0
0
8
0
0
0
0
8
8
0
11
11
11
0
0
8
0
0
32
0
9
18
8
8
8
0
0
0
0
0
0
16
16
0
0
8
8
8
16
8
8
32
2
2
2
8
8
0
0
6
6
6
0
0
0
0
0
0
0
4
0
24
8
0
0
0
0
0
0
0
0
12
39
0
4
0
0
8
4
16
16
16
16
16
16
0
0
17
27
0
8
8
8
16
4
4
8
8
8
8
0
0
0
0
0
16
16
0
0
4
0
24
0
0
0
0
0
0
8
8
25
0
16
59
0
0
0
0
0
8
10
10
32
32
8
8
0
0
1
0
1
2
2
0
0
8
16
0
16
0
1
8
4
8
8
8
4
0
0
0
0
0
1
0
24
24
24
24
4
10
18
18
8
2
0
0
8
8
0
32
32
32
16
16
16
16
8
4
16
16
0
0
0
0
0
0
12
0
1
4
16
4
8
2
0
8
8
16
16
8
8
16
16
16
24
24
24
8
16
16
16
17
17
17
0
0
8
0
0
0
0
0
16
16
0
0
0
0
0
0
8
4
1
0
0
0
1
1
16
16
0
0
0
8
9
1
1
0
12
12
8
8
8
8
0
4
8
8
0
0
8
4
16
16
0
0
0
0
0
0
16
1
1
32
32
32
32
32
0
0
0
0
2
2
2
8
8
0
0
8
8
4
0
0
0
0
1
2
2
24
0
8
0
0
0
0
8
8
8
8
8
8
8
1
1
8
48
16
16
8
16
0
24
8
30
0
0
4
0
0
0
0
16
16
8
1
16
8
16
0
8
16
0
0
0
0
0
4
0
0
0
0
2
8
0
48
48
48
48
0
0
32
8
0
0
24
0
0
0
0
0
0
0
0
0
4
0
2
16
16
0
4
0
0
16
8
8
16
4
8
0
16
8
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
16
16
8
8
8
0
0
0
16
16
16
16
0
0
16
0
0
0
4
8
8
8
4
0
16
32
32
0
8
8
8
0
8
8
8
8
8
8
4
0
42
42
42
16
6
0
16
16
8
8
8
0
0
4
4
4
32
0
0
8
4
8
8
8
0
24
24
24
8
0
0
4
4
4
4
8
20
8
8
16
0
0
8
8
8
24
16
0
0
0
4
0
16
0
0
1
0
16
16
16
16
8
0
17
0
0
4
16
0
8
8
8
8
8
0
0
0
0
0
0
16
16
16
8
8
8
8
8
0
16
17
16
8
0
0
0
0
4
16
16
0
0
0
17
16
16
16
2
16
4
4
0
0
0
8
16
0
8
8
8
8
0
0
0
32
0
0
16
18
16
16
16
16
16
16
16
0
0
0
0
0
8
0
0
0
16
0
0
16
16
8
8
0
0
1
1
1
12
8
20
16
16
8
8
4
0
0
2
24
12
8
0
0
0
0
8
0
8
24
0
8
40
27
1
0
0
8
8
0
0
2
10
10
10
0
0
0
0
0
8
4
0
0
2
2
2
0
0
8
8
16
0
0
4
16
16
16
8
8
8
0
0
0
16
16
18
0
0
4
16
0
0
0
16
32
0
0
0
0
0
0
0
0
20
20
8
6
8
8
8
0
20
0
0
0
1
1
1
20
1
24
24
2
2
0
0
0
0
16
0
7
0
16
0
16
0
0
8
0
0
0
0
0
0
0
0
0
0
0
16
16
0
1
1
1
1
32
16
16
8
2
2
1
1
28
3
0
2
0
0
16
16
16
16
8
8
8
8
0
0
0
0
2
2
16
16
16
16
16
16
16
0
0
0
0
16
0
16
0
0
0
16
24
4
4
2
1
0
2
2
2
0
24
0
0
32
4
0
0
16
0
0
0
16
2
2
8
0
8
8
8
8
4
16
16
16
16
9
8
0
0
0
0
0
0
0
0
0
16
0
4
4
4
4
4
4
0
0
16
0
0
16
16
16
16
8
24
0
8
8
0
0
0
24
8
8
8
8
0
0
0
0
0
16
16
16
8
16
2
2
8
0
0
0
0
0
4
16
1
2
0
0
24
0
0
45
0
0
0
8
16
16
16
16
16
16
0
0
0
0
16
8
16
16
8
8
32
32
1
16
18
16
16
8
8
2
0
0
16
16
16
0
1
1
4
0
16
16
24
24
1
0
16
0
0
16
16
8
8
16
0
0
28
0
0
8
8
8
0
0
8
0
0
20
0
0
16
16
0
0
0
0
0
0
0
8
0
0
1
1
1
0
4
0
16
16
16
0
0
0
0
0
8
0
4
4
16
2
2
0
32
8
0
37
0
16
16
0
8
0
0
16
0
0
4
10
0
0
8
0
0
21
21
16
0
0
25
25
25
25
8
8
8
0
0
0
6
6
0
0
0
0
0
9
2
0
16
1
2
2
8
8
8
0
16
0
2
0
0
8
8
2
2
2
52
20
16
4
4
4
0
0
8
16
1
1
1
4
4
0
8
0
0
0
2
0
10
0
8
8
8
8
24
24
4
32
14
14
14
0
18
1
1
42
0
16
16
0
4
8
16
16
16
8
8
8
0
0
24
8
0
8
8
8
8
0
0
0
0
0
0
20
16
0
0
8
0
42
42
42
0
24
0
0
0
32
20
0
4
4
4
0
0
0
7
7
7
0
0
0
16
16
16
16
16
16
0
0
8
8
8
0
8
8
8
8
16
16
0
16
16
16
0
24
16
0
0
16
4
0
8
0
0
4
8
16
16
4
1
33
1
1
16
16
16
16
16
16
16
0
0
8
0
0
0
0
0
0
3
8
8
16
16
8
8
0
0
0
12
0
0
0
0
0
0
9
0
1
1
1
8
8
8
8
8
8
8
8
8
2
0
0
8
8
0
0
0
0
0
32
32
0
8
8
2
2
8
2
16
0
0
0
24
0
8
0
2
2
0
0
16
16
16
16
16
16
16
0
8
8
8
0
16
4
0
0
0
48
48
0
1
0
0
2
0
0
0
16
8
0
16
0
4
8
32
0
0
0
0
8
0
0
8
0
8
8
0
8
0
0
0
0
0
0
0
0
8
8
16
16
24
0
8
1
1
16
0
0
8
8
8
0
0
16
0
0
0
0
0
16
16
4
4
1
8
0
2
2
0
20
1
8
0
0
0
0
0
0
0
0
0
0
0
8
16
16
0
0
16
8
8
0
8
0
0
0
0
0
0
8
8
8
8
8
0
0
0
4
0
28
28
0
0
0
0
0
0
0
20
0
24
24
8
16
8
32
32
4
4
4
0
24
24
6
6
6
6
0
16
0
0
0
16
16
4
0
0
0
0
0
0
16
16
16
4
4
8
8
4
0
0
8
0
16
16
16
0
0
0
16
16
8
0
0
0
0
0
8
0
0
0
0
0
2
0
16
8
16
6
6
0
0
16
0
0
0
0
0
0
0
0
16
0
8
8
0
16
16
0
0
0
2
0
24
24
24
24
24
24
16
16
8
8
4
16
16
16
0
0
0
0
0
0
0
0
8
0
8
8
0
62
0
2
2
2
0
0
8
16
16
8
20
20
20
0
8
1
16
16
16
16
8
8
32
32
0
16
8
25
0
0
0
1
1
1
1
8
0
0
8
8
8
1
0
16
16
0
16
0
0
0
0
0
0
8
8
0
8
8
8
0
0
0
8
8
8
8
8
8
8
0
0
0
0
0
8
8
8
0
0
0
0
2
2
0
0
16
16
0
8
0
8
8
1
16
2
0
0
0
8
0
0
0
0
20
0
0
0
0
2
2
8
0
8
0
0
0
0
0
0
8
2
8
1
1
0
0
16
0
20
8
32
0
16
16
16
16
16
8
8
8
8
8
8
8
8
43
16
0
8
8
8
8
24
24
24
24
4
8
8
8
0
0
0
8
8
18
0
2
2
0
0
24
16
0
16
16
8
16
0
0
1
0
0
0
0
4
0
4
0
0
0
0
0
12
8
0
32
32
0
16
2
4
4
4
8
8
8
0
8
28
16
16
16
0
0
24
16
0
0
0
16
16
8
16
0
1
0
32
1
8
16
1
1
1
0
0
0
16
16
16
16
0
0
0
20
0
0
0
4
8
28
28
28
4
0
0
0
0
8
16
16
16
0
0
24
24
24
24
0
0
0
0
0
0
8
24
24
24
24
24
16
28
16
16
0
0
0
3
2
16
16
16
16
32
0
30
18
0
0
0
0
0
4
4
0
0
16
28
0
0
2
0
0
0
0
8
8
8
0
8
0
8
16
8
0
8
0
0
0
0
16
16
4
4
0
0
0
0
0
16
0
0
0
8
0
0
0
22
22
24
16
16
16
1
56
20
0
2
0
0
0
11
11
0
0
8
8
0
0
8
8
1
0
0
0
8
0
0
0
0
0
8
8
0
0
24
24
24
0
0
0
8
0
8
8
0
16
16
8
1
8
8
8
8
8
8
8
8
1
1
32
0
0
0
0
8
8
0
0
0
0
0
8
0
0
4
0
4
0
1
16
0
16
4
4
0
0
0
1
0
16
16
16
0
0
0
8
4
8
8
0
0
0
0
0
8
0
0
17
17
17
0
16
20
20
0
20
0
0
4
4
0
0
8
0
0
0
0
0
0
5
5
5
1
0
0
4
16
16
0
0
16
16
1
1
1
0
6
6
4
4
0
8
0
0
16
8
1
1
0
0
8
8
0
0
8
8
8
0
2
0
0
0
0
0
3
8
8
0
18
16
16
0
0
16
16
0
0
8
0
0
0
8
48
0
16
20
20
0
0
1
24
8
8
8
5
5
5
5
5
16
4
0
0
0
0
0
0
0
8
8
8
0
0
0
8
16
2
0
0
0
0
8
0
8
8
24
0
8
24
24
8
8
0
16
16
16
16
1
8
4
4
4
4
0
8
0
10
8
20
16
8
0
16
16
4
4
8
0
16
0
0
0
8
2
1
14
14
14
0
0
0
0
16
0
16
16
0
0
16
0
0
8
16
16
16
0
0
0
8
0
0
2
24
16
0
0
0
6
0
0
8
8
16
0
0
0
0
0
0
20
24
24
0
0
0
0
9
4
0
0
0
8
0
0
0
0
2
8
8
8
8
0
0
8
0
4
4
16
32
32
2
12
12
0
4
0
0
12
8
0
1
1
8
8
1
1
1
1
4
8
8
16
16
17
8
8
0
2
28
28
28
0
4
0
0
0
12
16
17
0
8
8
8
8
8
8
1
1
1
0
0
0
0
0
0
16
16
8
8
0
0
8
0
24
1
0
4
0
0
8
2
0
0
8
0
32
0
12
12
16
0
25
0
9
0
8
0
4
8
4
0
1
1
1
0
0
0
16
49
8
20
0
8
0
1
4
4
4
8
0
8
8
40
0
0
0
0
0
0
8
0
0
0
0
0
8
0
16
8
1
8
8
16
16
12
0
0
0
0
0
0
8
8
8
0
16
16
0
8
0
0
0
16
0
16
0
0
0
0
8
8
0
8
0
0
0
0
16
0
0
8
16
32
16
16
16
16
16
16
16
0
0
0
24
24
0
0
0
0
0
0
0
0
16
25
25
0
8
8
4
8
8
8
8
8
8
8
0
0
8
16
0
0
8
8
8
0
0
0
0
8
8
0
16
1
1
8
8
16
16
0
0
0
0
0
0
0
16
16
0
0
16
0
0
0
8
0
0
36
16
0
0
16
2
0
16
16
0
0
4
8
0
0
0
16
16
16
8
0
4
16
8
0
1
8
8
8
0
0
56
2
0
0
0
0
4
6
8
8
0
0
28
0
0
0
0
8
14
8
0
8
6
6
0
0
0
0
4
8
8
16
0
0
16
5
5
8
8
8
0
16
0
0
0
0
0
8
16
4
4
8
0
2
16
8
0
4
1
1
1
0
0
1
0
0
0
0
0
0
8
8
8
16
0
0
0
8
4
4
4
4
0
0
16
0
0
2
0
0
16
0
0
0
4
16
7
7
0
0
0
24
24
32
16
16
16
16
16
16
16
16
16
16
0
0
0
8
8
2
4
0
0
8
0
0
18
18
16
0
1
1
2
16
16
0
0
0
0
0
23
23
23
0
0
0
4
0
0
0
32
0
0
1
32
8
8
0
0
0
16
16
8
8
8
0
0
8
8
16
16
16
22
8
8
8
16
0
8
0
0
0
0
1
8
24
1
4
4
8
0
8
8
8
0
0
8
0
8
8
16
16
1
2
2
0
0
0
0
8
1
1
0
4
16
0
8
16
0
32
32
8
3
0
0
16
16
0
1
1
1
1
2
2
8
8
0
22
1
0
8
0
0
0
8
8
0
0
8
8
0
24
16
16
16
16
16
0
16
8
8
32
0
0
0
16
16
24
0
0
0
8
8
12
0
0
0
1
8
16
16
16
16
16
0
8
0
0
32
32
0
17
17
17
0
0
0
0
0
0
0
0
0
0
0
4
4
0
0
0
0
0
0
0
0
0
8
8
8
8
8
8
0
0
0
8
56
8
0
0
8
8
16
16
8
0
16
16
8
16
16
16
0
0
0
8
0
8
57
0
0
0
8
16
8
1
1
1
1
0
0
32
1
1
2
2
1
4
5
5
5
5
0
0
0
2
0
0
8
1
16
16
0
0
0
0
0
0
0
0
4
4
12
12
4
24
0
0
16
16
16
8
0
0
0
0
0
0
0
0
0
0
16
0
4
8
0
8
0
8
8
8
4
4
4
12
0
0
0
0
16
12
0
0
0
0
0
8
16
0
0
2
2
0
8
0
0
0
0
8
0
8
0
0
0
0
4
4
32
4
0
0
48
0
0
8
0
48
48
48
2
2
2
32
0
16
0
24
8
32
0
0
16
0
0
0
0
3
0
14
0
0
16
16
0
0
16
0
4
0
0
2
2
2
0
0
10
0
1
8
0
0
8
2
0
0
4
0
0
0
16
8
8
0
9
8
0
0
2
0
2
2
0
8
0
24
8
0
0
24
0
4
0
0
0
0
0
0
1
1
0
0
0
1
5
5
0
8
8
0
0
3
8
4
1
8
8
8
0
24
16
16
0
9
8
8
24
24
24
0
0
0
0
16
16
0
8
0
4
0
8
8
16
16
24
0
8
9
0
8
8
8
8
8
0
0
16
16
16
0
0
8
16
0
0
0
8
8
16
8
0
0
0
0
1
0
0
0
0
0
0
16
0
8
0
0
0
8
8
16
18
16
16
16
16
8
8
4
8
24
9
8
8
8
8
1
0
8
0
1
4
4
4
4
2
4
2
32
16
0
1
1
1
1
1
4
4
0
4
16
16
16
0
0
0
12
0
0
8
16
0
0
17
1
16
16
8
8
8
16
16
0
8
8
4
4
0
0
0
16
0
0
0
8
20
24
24
24
8
20
0
20
0
0
0
16
0
8
8
8
8
32
32
0
1
8
0
0
0
8
0
8
0
0
0
0
16
0
4
4
4
4
0
16
0
0
8
0
0
4
4
0
0
16
16
0
0
0
0
0
8
8
1
8
8
9
9
9
8
8
8
8
8
8
8
0
1
8
0
17
0
16
0
8
8
8
0
24
8
0
0
0
16
16
8
1
32
32
1
24
0
16
1
49
2
8
0
0
0
8
4
8
8
16
8
8
8
8
8
0
0
0
0
16
8
0
0
12
12
0
0
16
32
0
0
16
2
4
0
8
0
8
8
8
8
0
1
16
16
16
8
2
2
0
16
28
1
1
0
4
4
16
16
0
0
0
0
0
0
16
16
16
1
0
0
0
0
0
0
8
2
0
0
0
45
8
8
0
0
37
0
0
0
4
4
0
0
0
0
0
0
0
8
16
0
0
0
0
0
0
0
0
0
8
0
4
16
0
0
8
0
12
42
42
16
16
16
16
8
8
0
0
0
0
0
0
0
8
8
8
1
0
8
4
32
32
32
2
2
0
0
8
16
0
0
0
0
0
8
8
0
0
8
0
32
8
0
0
0
0
0
8
8
8
8
6
0
16
0
16
0
0
0
32
0
24
9
0
0
0
16
16
0
0
8
1
0
16
0
8
2
0
1
4
0
0
16
8
8
8
4
0
0
8
20
20
0
0
1
0
0
16
16
16
16
0
0
0
24
0
0
0
0
8
8
0
8
8
1
1
4
4
0
0
18
0
0
4
16
60
17
0
16
0
0
0
2
2
0
4
8
8
16
16
16
40
0
0
0
0
0
2
16
0
0
0
0
0
8
1
8
8
16
0
0
0
0
0
16
2
16
18
0
0
0
16
4
0
16
8
0
2
8
0
0
0
0
8
0
24
24
1
8
8
8
8
48
48
20
16
0
0
24
8
8
16
32
32
32
0
0
4
16
16
16
8
8
0
0
6
0
16
0
0
16
8
1
8
16
1
1
0
8
8
1
16
0
0
0
8
8
8
0
16
16
0
8
1
0
0
8
16
0
0
8
8
8
8
24
24
0
0
4
0
16
0
0
0
8
8
16
16
16
0
0
8
4
4
16
16
16
16
0
4
4
0
16
0
1
1
8
8
8
0
16
2
24
14
14
16
0
0
0
2
2
2
2
2
2
24
20
8
16
8
8
8
8
0
0
0
0
0
16
16
0
16
16
4
4
0
0
0
0
0
0
4
1
1
1
0
0
8
0
0
16
0
24
1
1
1
1
1
14
16
0
0
2
0
4
4
4
16
0
0
0
0
0
0
8
16
2
8
8
8
48
60
0
0
2
2
2
2
2
2
0
1
16
8
2
0
1
1
8
8
8
28
0
0
2
16
24
24
0
18
18
0
0
8
8
8
8
8
8
4
32
32
48
48
48
48
48
2
4
4
4
4
2
16
16
16
16
16
16
16
16
16
16
16
16
16
2
16
16
4
4
4
4
4
0
16
1
1
1
16
16
16
16
2
2
8
32
0
0
16
16
0
0
0
16
24
24
8
8
8
4
0
1
1
0
0
8
0
4
0
0
8
8
16
16
16
8
12
12
32
0
16
0
0
0
16
8
0
0
0
0
0
1
1
8
24
24
2
5
5
12
8
2
2
2
2
2
2
8
8
2
2
2
2
0
1
1
8
8
1
0
0
0
0
8
1
1
0
8
0
4
4
4
16
0
1
32
32
8
0
16
16
8
0
0
0
0
0
0
4
8
0
2
0
17
8
8
16
16
16
16
8
8
1
4
8
24
16
16
8
20
20
8
8
8
16
0
4
4
4
4
4
4
8
8
4
4
1
8
24
24
24
8
0
16
8
0
8
2
16
0
0
4
0
0
8
8
8
1
0
8
0
0
8
0
0
0
0
16
16
16
3
16
8
0
0
24
24
0
16
16
0
0
16
16
0
0
0
0
16
16
0
16
32
0
16
20
0
8
16
14
0
8
8
0
0
8
8
0
0
8
1
12
0
4
4
0
41
4
4
0
0
8
0
0
48
4
0
0
0
0
2
0
0
18
2
2
2
2
2
4
24
0
0
0
0
4
4
4
4
0
0
0
0
16
28
28
28
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
8
8
8
8
8
8
0
8
8
0
0
8
8
0
32
32
16
2
2
16
41
41
41
0
0
0
16
0
32
2
8
0
0
24
0
0
0
4
4
0
0
8
8
8
8
8
0
8
1
1
1
1
0
16
8
16
8
8
0
0
0
0
0
0
0
0
24
2
2
0
4
8
8
16
1
0
8
8
0
0
0
0
0
0
0
0
8
8
8
16
4
16
8
0
0
8
17
0
8
16
16
16
16
0
0
0
0
6
0
8
0
5
5
5
5
8
9
24
0
0
0
0
16
33
4
16
20
0
0
8
4
0
0
0
34
12
25
16
16
16
0
4
8
8
11
8
8
8
8
22
8
0
16
8
0
0
8
1
1
1
0
8
0
0
0
0
0
0
0
0
0
50
0
2
1
16
8
4
0
0
0
0
0
0
0
16
8
16
16
16
0
0
0
0
16
4
0
0
0
0
0
16
28
0
24
0
24
24
24
24
0
0
0
16
16
16
0
0
1
1
0
8
16
0
8
0
0
0
0
0
0
0
0
8
0
0
8
16
16
0
16
16
32
22
0
0
16
0
9
8
2
8
8
8
8
24
24
12
12
12
56
56
4
4
4
4
0
0
0
2
2
2
20
0
0
0
0
8
8
24
0
0
2
8
8
0
16
16
16
0
0
0
0
4
4
0
8
0
0
0
0
0
0
8
8
8
21
21
21
2
0
0
0
0
0
0
0
16
16
0
0
16
16
16
8
8
8
8
8
16
16
16
24
2
8
8
8
8
8
0
0
8
0
0
0
16
16
4
4
4
0
8
8
0
0
0
32
8
0
0
0
0
0
16
42
16
8
8
8
0
0
16
16
16
4
9
8
0
0
0
8
8
0
0
8
0
0
0
0
0
0
0
0
8
0
0
0
0
0
16
16
16
0
0
24
8
0
0
8
8
4
4
4
16
16
2
4
0
0
1
1
8
16
16
0
0
0
0
0
0
0
0
0
8
8
4
0
0
0
16
16
16
16
16
16
4
8
8
2
2
18
0
0
0
0
0
22
22
16
8
8
16
16
8
0
0
0
0
0
1
1
1
1
0
0
1
0
0
0
4
0
0
0
0
48
0
1
1
1
12
4
4
4
2
0
0
0
0
0
0
0
0
0
0
24
24
24
8
8
16
16
50
0
4
4
8
0
0
0
0
24
24
0
13
0
4
4
0
0
0
4
4
4
8
28
17
16
16
16
16
32
32
32
32
6
6
0
0
16
18
0
0
0
0
0
0
16
16
16
16
16
16
16
1
1
16
16
0
16
16
16
2
2
0
0
0
0
0
8
0
0
0
0
0
0
8
0
0
0
0
0
0
8
0
0
0
16
16
0
0
16
0
0
16
8
0
0
10
0
8
0
0
16
0
8
16
16
8
8
0
8
4
4
0
0
0
0
4
4
8
0
0
0
0
0
0
16
16
40
40
0
4
4
8
8
0
0
17
5
8
8
2
8
8
8
0
0
0
0
0
0
0
0
8
0
0
0
4
4
4
4
4
4
4
1
1
8
26
1
16
16
16
16
16
16
0
16
24
0
0
0
0
28
16
16
5
0
0
0
0
16
44
0
8
16
16
0
8
8
8
8
8
2
2
2
0
0
0
8
8
8
1
19
16
0
8
0
8
8
0
8
0
0
0
0
0
0
0
0
16
0
0
2
2
16
16
8
4
0
0
0
4
0
8
8
0
0
0
8
0
0
0
0
8
8
8
0
20
2
2
2
2
2
32
8
4
4
1
4
0
4
4
4
0
0
0
0
0
8
8
16
12
12
4
4
0
0
2
2
0
21
0
0
4
16
0
0
16
16
16
16
2
8
0
0
8
16
8
12
0
0
0
2
8
16
16
8
8
1
1
16
16
0
0
0
12
12
16
16
4
4
4
4
0
0
32
8
8
1
0
0
4
4
8
0
0
48
0
4
4
8
8
4
0
24
8
8
8
8
0
0
0
16
8
0
8
0
0
16
0
0
8
0
0
0
0
0
0
0
0
0
24
8
16
16
1
0
0
0
0
0
4
2
2
2
0
0
41
0
2
0
20
20
0
16
8
8
0
0
0
16
16
8
4
0
0
0
0
0
0
1
16
16
8
0
8
8
16
0
2
2
0
8
8
0
0
16
16
16
16
6
16
0
0
4
4
16
8
4
16
16
16
16
16
16
0
8
0
0
0
8
4
4
4
0
24
24
8
8
0
0
0
8
8
8
8
16
16
0
0
0
0
0
16
16
0
0
0
8
0
4
4
0
0
0
0
0
16
16
16
0
20
16
16
24
24
24
24
16
8
0
40
40
0
29
29
0
8
8
8
24
56
0
8
8
8
0
0
0
0
0
0
0
24
24
16
16
0
0
16
8
0
24
16
8
0
16
16
16
0
0
1
8
8
32
32
32
0
0
6
6
0
0
16
0
8
8
0
8
8
0
16
16
20
0
0
0
3
3
8
16
16
24
0
0
0
0
0
0
1
1
0
4
8
16
16
16
2
8
8
1
0
0
0
8
0
0
0
0
1
1
1
2
2
0
0
0
4
0
0
16
10
2
0
0
0
0
1
8
37
12
4
4
4
0
0
0
0
0
16
0
16
16
16
0
0
16
16
0
8
8
8
8
8
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
32
16
14
14
8
8
8
0
0
0
1
0
0
8
8
8
24
8
25
25
0
0
16
0
0
0
9
0
0
0
19
19
16
16
0
0
24
16
1
4
4
30
30
4
8
8
8
0
0
0
0
0
16
5
5
5
0
1
0
0
0
0
8
0
0
0
8
0
0
16
0
0
0
8
32
0
0
4
24
0
16
8
8
0
0
0
0
3
0
8
16
33
33
33
33
33
33
33
33
8
16
16
0
0
0
0
0
0
0
16
16
16
16
4
8
20
8
8
0
0
0
0
24
0
16
0
16
8
8
17
17
0
0
0
0
0
0
16
16
16
16
2
2
16
8
0
1
0
36
9
0
8
32
32
32
48
16
0
0
8
0
0
0
0
0
0
24
24
24
0
0
8
0
0
0
0
0
2
2
2
0
0
0
0
8
8
8
0
16
0
23
1
1
16
18
8
0
0
0
0
8
1
0
0
6
16
4
4
0
8
16
16
5
5
16
16
0
4
0
16
2
2
0
4
4
16
2
20
8
16
0
6
0
30
0
8
8
0
0
0
4
0
0
0
1
1
8
8
8
8
16
0
0
0
1
12
16
0
0
2
2
2
16
16
3
0
8
6
6
4
1
0
0
0
0
0
0
56
40
8
8
0
0
0
2
8
0
0
0
0
17
1
1
0
0
0
0
0
0
48
8
0
0
1
0
0
0
8
0
0
0
0
0
0
4
4
4
4
4
4
0
16
0
1
9
9
4
0
0
2
2
2
8
2
0
0
16
16
0
0
0
0
0
8
26
0
0
8
8
8
16
0
17
17
17
8
8
2
2
0
4
0
0
0
16
4
4
4
0
8
0
32
32
32
0
0
0
8
8
0
0
0
8
4
4
56
56
8
0
0
4
0
0
0
8
8
8
16
16
1
1
8
16
0
0
0
16
0
0
0
0
0
0
0
0
0
8
16
16
16
16
1
0
16
16
0
4
4
0
0
8
8
0
16
16
16
0
16
8
24
8
8
0
0
0
3
0
4
4
8
16
0
0
0
0
1
0
0
0
0
8
16
0
0
0
0
0
16
16
0
0
16
16
16
16
16
6
0
0
4
20
16
2
36
8
21
21
8
32
16
8
16
8
16
4
2
0
8
16
16
16
0
0
0
0
0
16
0
2
2
2
2
16
2
48
0
0
0
0
11
34
0
0
8
8
0
20
20
16
0
18
18
18
20
16
0
8
0
0
0
0
0
0
0
0
2
2
8
8
8
0
8
8
16
8
0
0
0
16
16
0
1
0
0
40
17
8
8
0
0
0
0
0
0
16
0
0
0
16
0
0
44
8
0
0
8
1
16
16
1
0
16
0
2
8
8
8
8
8
1
25
4
4
8
8
2
1
0
0
0
0
0
0
0
8
8
8
0
25
25
0
0
0
0
0
0
1
1
4
16
16
16
2
20
20
0
0
0
0
16
16
16
0
0
8
8
16
0
0
16
0
0
8
0
0
0
0
2
2
0
4
2
2
0
0
0
2
0
0
8
8
8
8
0
8
0
24
0
0
0
0
0
0
1
0
0
8
16
16
16
0
0
16
0
16
8
0
0
0
0
0
32
1
1
1
8
0
24
8
8
0
0
0
0
0
0
20
20
20
20
14
14
14
24
0
0
0
16
16
0
0
0
0
33
33
0
0
0
0
0
0
0
0
0
0
2
0
24
0
8
0
0
16
0
8
0
4
4
0
0
1
1
0
32
0
0
4
4
4
4
8
9
9
9
16
0
0
0
4
16
16
8
8
24
25
24
16
16
16
16
16
16
16
8
0
9
1
1
32
4
1
0
4
4
4
4
0
0
8
2
2
16
8
8
0
0
0
0
0
0
0
0
24
16
8
16
16
0
0
8
0
4
32
32
1
1
1
1
0
8
0
0
0
0
0
0
8
16
16
20
4
4
16
16
8
1
0
4
4
8
8
0
0
0
0
2
0
0
0
32
8
4
4
2
8
1
1
0
0
16
16
16
16
18
18
18
0
0
2
33
0
0
0
8
0
4
0
16
0
0
0
0
4
0
0
41
41
16
16
48
8
8
16
16
16
0
0
0
8
0
0
16
16
16
16
0
0
6
0
48
13
8
8
1
1
0
0
24
1
1
1
16
0
0
0
0
16
0
0
24
24
0
8
8
8
12
12
12
1
1
2
2
8
16
16
2
4
4
1
1
0
0
0
0
0
0
8
0
0
0
2
8
24
0
0
8
0
0
1
1
1
1
32
32
8
8
4
4
4
4
0
0
8
8
8
24
24
0
0
0
8
8
0
8
0
16
0
0
0
16
0
0
0
0
4
0
48
0
0
16
1
1
1
32
32
0
0
8
8
8
16
16
8
2
2
8
8
8
8
0
1
1
0
16
0
0
8
0
16
16
16
16
8
8
8
8
16
16
48
32
10
2
2
0
0
0
24
16
1
0
0
0
32
32
32
0
1
8
8
0
0
16
8
8
8
0
0
0
0
0
8
0
16
8
8
0
0
8
8
0
4
16
40
16
1
0
17
17
17
16
1
9
32
14
16
18
8
8
0
8
8
8
8
8
8
8
8
0
0
0
0
0
0
8
16
0
16
16
16
24
4
5
5
4
1
9
8
0
0
0
0
0
0
8
8
0
8
8
8
6
6
8
0
4
4
1
1
0
0
0
41
8
8
0
0
0
0
0
0
16
16
0
8
0
0
0
0
1
16
10
10
32
0
0
8
8
0
8
8
0
2
0
0
2
2
8
8
16
24
16
0
0
0
1
0
16
0
0
16
0
0
0
0
1
1
8
0
4
4
4
1
0
0
8
1
1
0
8
8
1
32
32
0
0
0
8
8
8
8
0
0
0
0
0
0
0
8
0
8
16
8
17
8
8
8
8
8
8
8
8
8
8
0
0
0
6
0
8
0
16
16
0
0
0
0
0
0
0
17
25
4
16
0
0
24
24
8
8
32
32
32
32
32
32
0
8
8
0
8
16
57
0
8
8
1
8
17
0
0
0
60
0
8
8
0
48
0
0
0
0
0
0
0
16
16
0
16
0
0
9
0
16
16
0
0
0
4
0
0
4
0
0
8
48
8
4
0
0
0
24
1
0
16
16
16
16
0
0
0
0
16
16
32
16
8
4
4
24
24
24
8
0
0
0
0
16
0
0
8
0
8
0
0
16
0
0
0
4
8
8
0
0
0
36
9
0
16
1
1
1
0
4
0
0
16
16
16
0
0
0
40
0
0
0
16
16
0
8
8
0
0
0
0
0
0
0
8
8
0
8
8
0
8
4
0
0
1
18
20
0
8
0
0
4
16
0
0
8
8
0
0
0
0
20
8
16
8
0
16
0
8
0
0
0
0
0
0
0
16
0
4
0
0
24
16
0
0
4
0
0
4
4
8
0
8
0
0
0
0
8
16
16
0
0
1
4
8
0
0
0
16
16
8
2
0
0
0
0
0
0
0
0
0
0
8
8
16
16
8
0
0
1
0
0
0
0
0
0
8
0
0
24
4
4
4
0
0
0
0
0
0
0
0
16
0
0
0
24
0
0
8
0
0
9
1
32
32
0
8
0
0
0
0
5
0
2
8
0
4
8
0
16
16
0
12
12
0
8
8
0
13
0
0
0
16
1
1
1
0
16
16
8
0
0
8
16
0
0
0
0
8
0
0
0
8
0
48
0
0
8
4
8
16
16
16
0
10
0
0
0
0
0
1
0
0
0
0
0
2
0
0
0
0
0
0
36
0
0
0
0
8
8
14
4
0
0
0
16
0
0
2
0
17
0
0
0
4
0
0
0
0
0
1
0
0
16
0
0
8
8
8
0
16
16
8
0
24
8
0
0
16
8
8
30
30
8
17
0
0
18
25
8
24
16
16
16
8
2
4
16
16
16
0
0
0
0
0
4
16
0
0
8
2
0
0
0
0
0
0
0
0
0
5
5
0
16
0
0
0
0
0
8
8
8
8
8
8
8
0
2
0
8
0
49
49
49
49
0
0
0
0
0
4
8
16
0
4
0
1
0
8
0
0
1
0
0
6
6
8
0
0
0
24
16
16
0
16
16
8
0
0
16
0
0
0
0
0
8
0
16
16
0
0
0
0
8
8
0
0
14
16
8
0
0
2
2
16
0
24
0
16
8
4
4
4
8
0
0
10
0
8
0
0
0
16
8
0
0
4
0
4
8
0
0
1
0
24
0
0
0
0
0
42
0
0
0
0
0
0
22
0
0
0
0
0
4
4
4
4
0
0
8
0
0
8
8
16
0
0
1
1
0
20
8
32
32
32
32
0
0
0
0
0
0
16
0
0
0
0
4
4
0
0
0
2
16
0
0
0
0
0
8
4
0
16
0
0
0
1
1
0
0
0
0
1
1
1
1
1
1
1
1
1
8
0
0
4
4
0
0
0
0
0
0
0
8
8
8
0
4
0
0
16
8
8
0
0
0
0
0
0
0
0
8
0
0
8
0
0
0
1
1
4
0
0
4
0
8
0
0
0
16
0
10
8
4
0
0
0
8
0
0
12
0
8
8
0
0
0
8
58
58
0
0
0
0
2
0
0
0
0
1
16
16
0
8
0
16
0
16
16
0
0
16
4
1
0
0
0
4
0
0
4
16
8
0
5
0
24
0
0
8
0
0
0
0
8
25
0
0
0
0
8
0
0
0
40
8
8
8
8
8
8
8
8
0
1
0
32
0
0
0
0
8
8
0
0
0
1
8
0
16
0
0
0
0
8
0
16
28
28
28
1
0
0
0
0
20
16
0
14
14
14
0
0
0
0
0
4
2
12
0
0
0
0
0
4
4
24
8
8
0
0
0
20
0
2
4
0
0
0
0
8
0
8
0
0
0
0
0
0
0
0
16
0
8
0
0
0
0
8
0
16
16
34
24
24
0
0
0
0
0
0
8
16
16
0
17
16
16
8
8
0
0
0
2
4
0
16
12
5
0
0
4
4
4
0
0
0
6
8
8
8
0
0
0
16
8
0
0
0
8
8
0
0
0
0
0
0
4
0
16
16
0
0
0
0
0
16
8
2
2
0
8
0
0
0
0
0
0
0
0
20
8
0
0
1
0
0
0
0
8
8
0
8
0
8
8
0
0
0
0
1
1
0
0
16
0
0
32
32
32
0
0
8
8
8
8
0
0
0
0
0
16
0
0
0
0
0
0
16
0
0
8
12
12
12
12
0
17
0
17
0
0
8
0
0
0
0
0
0
0
0
0
0
16
0
0
8
16
0
0
17
8
8
8
0
0
16
16
46
0
0
0
1
0
8
8
16
16
0
8
1
1
1
1
2
2
8
0
0
2
0
17
1
8
8
0
0
8
8
8
8
0
0
22
8
8
6
0
0
8
16
16
16
1
1
1
0
16
16
16
0
0
0
0
0
8
32
32
8
8
0
0
0
0
8
8
0
0
0
1
0
0
0
0
0
0
0
8
8
40
40
40
10
4
16
0
0
4
16
16
0
0
0
24
8
0
8
16
0
0
0
0
8
8
8
8
8
8
8
0
0
0
0
0
0
16
16
8
1
0
0
0
0
0
0
0
16
8
24
0
16
0
25
8
0
0
0
0
8
8
0
14
0
0
8
8
16
16
8
0
1
0
8
32
0
0
0
0
8
8
8
8
1
1
8
0
0
0
0
0
0
8
0
33
0
8
8
0
0
24
24
24
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
8
0
0
8
0
0
0
16
0
8
8
8
16
0
8
0
0
16
16
0
0
8
5
2
2
0
18
4
0
16
16
0
0
8
8
8
8
2
8
0
0
0
9
0
0
0
8
8
8
0
1
0
0
0
8
8
0
0
8
16
8
8
8
8
8
8
8
8
0
0
0
0
1
0
0
8
0
2
8
8
8
8
8
16
16
0
0
0
0
24
24
0
0
8
0
24
21
0
1
1
1
1
0
9
9
0
0
0
0
0
0
4
1
0
0
1
2
1
0
0
0
8
0
0
0
0
0
0
0
8
8
16
0
0
0
0
0
0
16
2
8
4
0
24
8
0
0
0
8
8
0
8
0
8
0
0
25
4
0
2
0
6
0
0
0
0
24
24
0
0
24
24
8
8
2
0
1
2
0
0
0
0
16
4
4
8
0
0
0
0
0
0
0
8
8
8
8
16
0
0
0
0
0
0
16
16
0
0
0
8
8
8
16
8
8
0
0
0
3
3
0
0
0
0
16
16
0
0
0
0
8
8
8
0
0
16
16
4
8
0
0
0
8
0
0
0
1
1
0
0
0
8
0
0
9
0
0
0
0
32
32
32
0
0
0
0
0
0
8
8
0
4
16
8
8
8
16
8
8
0
0
8
8
8
4
4
4
4
2
16
24
0
0
1
0
0
16
8
1
1
1
8
4
0
8
16
0
0
0
0
0
0
16
0
0
0
8
0
0
0
2
0
8
8
0
1
0
0
0
16
6
0
0
8
0
0
2
0
0
2
2
0
0
0
0
16
8
0
2
2
0
0
0
8
8
0
8
1
8
16
16
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
16
16
1
1
0
8
0
0
3
3
0
16
8
8
16
16
16
0
17
17
16
0
4
4
4
16
16
0
0
2
8
8
0
8
16
0
8
8
0
16
16
16
16
16
16
0
8
8
8
8
8
0
8
0
8
8
8
5
0
4
4
8
8
16
0
0
5
16
24
0
0
0
8
8
8
0
0
16
0
8
0
0
0
0
0
0
8
0
0
16
2
0
20
0
0
0
2
0
0
0
0
0
0
1
8
8
0
8
0
8
8
0
8
0
0
0
8
8
8
8
8
0
8
0
33
0
0
0
0
8
0
0
0
0
0
0
4
4
0
25
25
10
10
8
4
0
0
0
0
8
0
8
0
0
16
16
2
0
8
0
24
2
8
0
8
0
0
0
8
8
0
0
2
0
0
2
1
16
16
0
32
32
16
16
0
0
0
0
0
0
0
0
0
8
8
8
8
0
4
4
0
0
1
0
0
0
8
0
0
0
1
8
8
8
16
8
0
8
8
2
2
16
16
24
24
8
4
8
8
8
0
0
0
0
16
0
16
0
0
8
0
0
8
4
4
0
0
0
8
0
0
0
1
8
8
1
0
0
2
2
2
0
1
0
0
0
8
0
8
8
8
8
32
4
16
16
8
8
8
8
0
8
8
0
8
0
0
32
8
0
0
0
8
8
8
8
0
16
16
32
32
8
8
0
0
8
0
0
2
2
16
4
0
8
8
4
4
16
0
8
2
0
0
0
0
20
8
8
17
0
8
0
30
30
8
0
0
16
8
8
8
0
8
8
16
32
0
16
16
0
0
0
2
0
0
0
8
0
0
2
0
0
0
0
16
20
4
32
24
16
0
0
0
4
0
0
2
2
0
0
0
0
16
0
0
1
8
0
0
0
0
0
8
0
8
8
0
2
16
0
8
8
2
2
18
16
0
0
4
8
0
0
0
8
0
8
1
1
1
16
0
0
0
0
8
0
0
8
0
0
0
0
0
0
0
4
4
0
0
4
0
4
16
0
0
0
0
0
0
0
0
0
0
8
0
2
8
8
0
0
0
0
8
8
8
8
0
0
4
8
2
0
0
20
24
0
0
0
0
8
6
0
0
8
2
0
16
0
0
8
0
0
0
16
0
0
9
8
8
0
0
16
8
0
0
0
0
0
8
0
16
16
16
0
0
25
16
0
12
0
0
0
0
0
0
0
8
0
8
0
0
0
0
0
4
4
8
8
8
0
16
40
24
8
0
0
0
24
24
24
1
16
16
16
16
8
0
0
0
0
0
0
4
16
1
0
0
0
0
0
0
0
0
14
0
8
0
8
8
8
8
0
0
16
2
2
6
6
0
8
8
8
8
0
2
0
0
0
0
0
0
9
8
4
8
0
8
0
0
0
0
24
16
56
2
0
0
8
1
0
2
0
0
16
2
4
21
0
2
16
0
8
4
0
0
0
16
0
16
8
8
0
0
4
0
0
0
0
0
0
0
0
3
0
10
8
8
8
32
0
0
0
0
0
4
4
4
4
12
12
16
0
2
0
0
0
0
0
0
0
0
0
0
4
4
0
24
24
0
16
18
16
21
21
8
0
0
4
0
12
8
4
0
0
0
8
27
25
0
0
0
8
8
0
4
4
0
0
0
0
0
0
0
0
2
0
0
1
1
0
16
4
0
0
0
0
0
0
8
0
0
0
0
0
0
1
8
8
24
0
0
0
0
0
0
0
8
0
16
0
0
0
0
0
0
0
0
0
0
0
16
0
3
3
0
0
0
0
0
0
0
0
16
8
8
2
2
2
0
0
0
0
0
0
8
8
13
2
0
0
8
0
8
0
2
20
20
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
1
0
4
4
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
3
1
16
8
0
0
0
0
0
0
0
0
24
25
25
25
2
16
16
0
0
1
0
8
8
16
0
0
0
8
0
0
0
8
0
0
0
0
17
1
1
0
0
0
0
8
0
0
0
0
0
0
0
0
0
8
0
0
0
6
0
8
0
0
0
0
0
0
0
0
0
20
0
2
0
0
0
16
20
0
0
0
0
0
24
24
16
16
0
0
0
0
0
12
0
0
8
0
0
0
0
0
8
8
8
0
0
16
16
8
16
0
0
0
0
0
0
2
0
12
12
0
16
0
4
0
0
0
0
0
0
8
0
0
0
0
0
32
32
0
4
4
1
1
1
0
2
4
0
0
0
9
4
0
0
0
2
0
52
0
0
8
0
0
0
0
0
9
9
0
0
0
16
0
0
4
0
8
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
0
0
0
0
0
0
18
18
0
8
8
0
0
0
0
0
24
0
0
0
0
0
8
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
8
4
0
0
0
16
1
0
0
8
0
0
0
16
0
0
16
0
0
0
0
0
8
16
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
2
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
0
4
4
0
8
0
0
0
24
24
24
24
16
16
0
0
16
4
0
0
0
0
0
16
0
0
0
0
4
8
8
0
0
0
16
8
8
0
0
0
0
0
0
16
4
1
0
16
0
0
0
0
8
0
0
2
0
0
0
0
0
0
32
32
18
0
0
0
0
0
0
0
0
0
0
0
0
8
16
16
4
0
4
4
0
0
0
0
0
0
18
8
8
0
8
8
0
8
8
0
0
0
9
0
0
0
4
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
8
0
0
0
10
4
8
16
24
0
0
0
0
0
0
0
0
0
0
4
4
0
0
0
0
0
0
0
0
0
0
0
8
0
0
16
0
0
0
0
16
0
0
0
0
0
0
8
2
0
0
0
0
0
0
4
8
4
4
0
0
16
16
0
0
0
0
0
0
8
0
0
0
0
0
0
8
0
0
0
0
0
0
8
8
8
8
0
0
0
8
8
4
8
16
8
0
0
16
0
0
0
1
0
8
8
8
10
0
0
0
0
16
0
0
0
0
8
0
0
0
8
0
0
0
0
0
0
0
12
8
8
0
0
4
0
0
0
0
0
0
0
0
8
0
1
0
0
0
0
0
0
0
0
0
17
0
0
0
0
0
0
0
8
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
6
6
0
0
4
0
0
2
2
0
0
16
0
24
24
24
0
0
16
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
1
1
0
0
0
0
0
9
0
0
0
0
0
8
0
1
1
0
0
0
0
0
0
0
8
16
52
16
16
8
8
8
8
0
0
0
0
2
0
0
0
0
0
0
8
16
0
8
8
8
8
0
8
0
0
4
0
2
0
0
0
0
0
0
0
0
0
4
0
8
8
0
0
0
0
32
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
16
0
0
0
0
2
0
8
12
0
0
2
0
0
0
3
0
0
0
4
0
0
20
0
0
24
2
2
0
6
0
0
0
0
0
4
0
0
16
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
4
4
4
4
0
0
32
1
1
8
0
0
8
0
0
0
0
16
32
0
0
0
16
0
0
0
0
0
0
0
6
6
6
0
0
0
2
0
0
0
0
0
16
0
8
8
16
0
0
0
0
4
8
8
8
0
0
0
0
0
0
0
10
16
0
0
0
0
0
0
0
0
0
0
0
59
59
19
19
8
0
8
0
0
0
0
0
1
0
0
12
12
0
0
0
0
0
4
0
0
16
0
0
8
4
1
0
0
0
0
0
0
4
0
16
0
0
0
0
8
0
0
1
1
28
0
0
8
0
8
8
8
0
32
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
4
0
8
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
13
0
0
5
0
8
0
8
12
12
0
4
0
0
24
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
24
1
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
4
8
0
8
0
20
0
1
1
0
0
0
22
0
2
2
0
0
0
56
56
16
16
0
4
16
0
16
16
0
0
8
8
0
0
0
0
0
8
8
0
0
0
0
0
0
0
16
8
0
0
0
16
0
0
0
0
2
0
0
0
0
0
0
0
0
59
0
8
16
24
0
0
0
0
0
0
0
0
14
0
0
0
2
0
0
0
0
0
0
0
0
8
8
4
4
8
0
0
0
0
0
16
16
8
0
16
0
0
0
0
0
0
0
0
0
2
0
0
0
0
8
16
1
0
0
0
0
0
0
12
16
16
0
0
0
0
8
16
0
0
0
20
20
20
20
0
24
24
0
0
0
0
0
0
0
0
0
0
1
2
14
0
0
0
0
4
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
12
12
0
0
8
0
4
0
8
8
0
0
0
4
0
0
0
22
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
16
0
0
0
8
8
0
8
0
8
8
0
1
0
0
0
0
0
0
2
0
0
8
16
8
0
0
0
16
0
0
0
0
8
8
8
8
8
0
0
1
0
0
0
0
0
0
0
0
2
2
2
0
0
2
10
0
0
0
16
0
0
0
0
0
24
0
0
0
8
0
0
8
8
0
40
0
16
0
0
0
0
0
24
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
16
18
0
20
20
18
0
8
8
16
0
0
0
0
0
0
0
0
16
2
16
0
0
0
4
0
20
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
0
0
0
0
0
2
0
0
0
0
16
16
0
0
0
0
4
0
0
0
8
8
8
16
0
0
8
8
8
8
55
0
0
0
0
27
0
0
0
0
0
0
8
8
0
20
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
0
0
4
4
17
0
8
0
0
0
0
17
0
0
0
0
0
0
0
4
6
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
8
0
0
0
0
16
0
24
0
0
0
0
0
0
0
16
0
0
4
4
0
56
0
0
8
0
0
0
0
0
16
16
0
0
0
0
0
0
0
16
0
0
16
8
16
16
8
0
0
8
0
0
0
0
0
0
8
2
2
2
8
8
4
0
8
1
1
0
0
0
0
0
17
0
0
0
3
0
0
0
0
0
0
0
18
16
0
16
0
0
0
0
0
33
0
0
8
0
0
0
0
0
8
0
0
3
8
0
8
8
0
0
0
0
0
0
0
0
8
8
8
4
0
8
0
0
8
8
0
0
0
0
16
2
2
0
0
8
0
0
0
8
0
0
8
0
0
0
0
0
0
0
0
4
16
8
0
0
0
0
0
0
0
0
0
0
0
0
8
0
4
4
0
0
0
16
16
0
0
0
18
0
0
0
8
0
17
17
0
0
0
0
1
0
0
4
0
0
2
4
8
8
0
4
4
16
2
8
0
0
32
0
0
0
4
0
0
0
32
0
1
16
16
0
0
8
0
8
0
6
6
2
2
0
0
29
0
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
4
4
0
0
0
16
0
0
4
4
0
4
8
8
8
0
0
0
0
8
0
0
0
0
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
8
0
0
8
8
0
1
0
0
0
0
0
0
0
0
0
16
0
8
4
4
4
0
8
8
0
0
8
8
2
2
0
5
5
0
0
2
4
0
0
0
0
0
0
0
0
0
26
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
2
8
0
0
14
0
0
0
0
0
0
0
0
0
16
0
16
7
5
0
0
1
0
8
8
8
8
8
0
0
0
0
16
0
0
0
0
24
0
0
0
8
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
8
8
8
12
16
0
0
12
8
2
2
2
8
8
0
0
8
8
0
17
0
19
0
28
8
8
0
0
8
8
8
1
16
8
0
0
16
16
16
16
16
16
0
0
0
8
0
0
0
0
0
0
0
0
0
24
16
8
8
0
0
8
8
8
0
22
22
22
22
22
22
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
8
8
8
8
16
0
8
8
8
0
0
0
0
16
0
8
0
0
16
16
0
0
0
0
32
4
0
0
0
0
0
0
0
0
2
4
1
0
2
2
8
24
0
0
0
0
0
32
24
0
1
0
0
0
0
0
0
0
0
8
0
0
2
0
0
0
0
0
0
12
12
12
12
0
12
12
2
0
0
0
8
0
0
0
0
12
12
0
16
0
24
0
8
8
8
0
0
0
0
0
0
0
0
0
16
16
16
0
20
0
0
0
0
0
0
0
8
24
0
0
0
0
0
0
0
4
0
0
0
0
2
0
0
0
8
0
0
0
0
0
0
0
16
16
16
0
0
0
8
1
0
0
0
16
0
0
0
0
0
17
17
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
4
0
0
0
16
0
0
0
0
8
0
0
8
8
8
8
0
0
0
0
0
1
0
0
4
0
16
16
16
16
16
0
16
0
0
0
0
0
16
16
16
20
20
0
0
0
16
0
4
0
0
0
4
0
0
1
0
0
0
0
0
0
0
0
0
40
40
8
8
0
8
8
8
8
0
0
0
8
8
8
8
8
8
8
8
0
0
16
0
0
0
0
8
0
0
0
0
0
0
0
0
8
0
2
0
0
0
18
0
0
0
4
4
0
0
0
1
0
24
4
0
8
2
3
3
8
0
16
16
16
0
0
4
0
0
1
0
0
0
0
0
0
16
4
4
0
0
0
0
0
12
8
12
0
0
0
0
0
16
0
0
0
0
4
0
0
0
0
0
0
0
0
0
16
16
28
0
0
0
0
0
0
0
0
0
4
0
8
8
0
0
2
2
0
0
0
0
26
0
0
0
8
0
0
8
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
16
16
2
8
0
0
0
4
16
0
0
0
0
0
0
8
6
6
0
0
0
0
0
8
0
0
0
0
0
0
0
16
0
14
0
0
1
8
8
0
8
8
0
0
0
0
0
24
24
0
0
2
0
0
8
0
0
4
0
0
0
0
2
0
0
8
0
0
0
0
0
2
0
0
0
16
8
8
8
0
8
8
8
0
0
24
20
0
8
0
0
2
2
2
32
8
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
17
17
0
0
0
1
0
16
0
0
18
0
8
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
4
8
0
0
0
0
12
8
8
8
0
16
16
16
16
16
16
16
16
16
16
1
1
1
1
1
0
0
0
0
0
0
0
16
16
0
8
0
0
0
0
0
0
8
0
0
0
0
0
0
0
16
16
20
0
0
3
0
0
0
8
0
0
8
0
0
0
24
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
8
8
8
0
24
0
0
20
0
0
0
0
0
0
0
0
16
0
0
0
0
2
8
8
1
8
8
8
0
0
0
0
0
0
0
0
0
8
0
0
16
0
16
16
0
0
0
0
4
0
0
0
0
0
8
8
0
0
0
8
0
0
4
4
4
16
0
0
0
17
0
0
0
0
0
0
0
0
8
0
16
16
0
8
16
16
0
0
0
8
0
0
0
0
0
0
0
0
8
8
16
6
0
16
0
0
4
4
4
4
4
4
0
0
0
0
8
8
8
0
8
8
8
0
8
1
1
0
0
0
1
0
0
23
23
0
0
0
0
0
25
8
0
0
0
16
8
4
4
4
0
0
0
24
16
4
12
0
0
0
8
0
0
8
32
0
0
0
0
0
16
0
0
0
33
0
0
0
1
27
17
8
16
4
4
4
0
0
16
8
8
0
0
26
0
0
0
8
8
0
0
0
0
2
16
0
32
0
0
0
0
0
8
0
0
0
16
16
24
0
0
0
0
0
0
8
0
2
16
16
1
2
0
1
1
16
16
16
16
0
0
0
0
0
0
16
16
4
0
0
8
1
8
0
8
8
0
8
0
0
0
4
0
0
24
0
0
8
16
0
0
0
12
24
0
32
24
16
0
0
0
0
0
8
4
4
8
8
0
0
0
8
0
0
8
8
0
33
0
0
2
2
2
0
0
8
8
8
16
16
0
8
1
0
0
0
4
4
9
0
0
0
0
0
4
0
0
0
0
0
0
1
8
8
4
16
16
8
8
32
0
8
8
0
0
10
0
0
8
8
0
8
8
8
8
8
8
2
2
0
0
0
0
0
0
0
0
0
8
17
0
0
0
0
0
0
0
0
0
0
0
8
8
0
8
0
0
8
0
1
0
8
8
8
0
4
4
8
0
0
0
0
0
8
28
0
20
0
0
0
0
0
0
0
0
0
0
0
16
0
0
1
6
6
6
6
6
6
0
0
0
16
0
16
0
16
8
8
1
0
0
0
0
0
0
4
0
0
0
0
16
8
0
4
0
0
1
0
0
0
0
0
0
0
8
8
8
0
4
4
0
0
0
0
8
0
0
4
1
8
8
20
0
28
28
0
4
4
0
0
0
40
40
24
8
8
8
8
8
0
0
0
17
17
8
3
0
6
0
0
0
8
8
24
8
0
0
4
4
0
8
8
0
0
0
4
4
8
2
0
0
0
0
0
20
0
0
0
0
0
16
16
8
0
0
16
16
16
0
8
16
16
0
0
0
0
0
0
0
0
16
16
0
8
0
0
0
0
0
2
0
0
16
12
0
0
0
24
0
8
8
2
0
0
0
17
0
2
2
9
0
8
8
16
16
8
0
16
16
8
8
0
0
0
0
0
0
0
0
24
8
2
4
12
8
8
8
8
0
0
0
0
0
8
0
0
33
1
1
2
0
0
0
0
0
8
0
0
0
0
0
16
2
2
8
24
0
0
0
0
8
0
16
16
0
8
29
1
18
18
8
0
0
0
0
0
0
0
0
16
0
4
4
0
16
0
0
4
4
0
0
0
0
0
0
0
0
0
16
4
4
0
16
8
8
6
6
2
8
0
0
0
0
8
0
0
0
0
8
0
0
0
8
8
8
8
2
1
0
8
0
8
0
16
8
8
0
12
4
17
0
8
8
0
0
0
0
0
16
0
0
0
1
8
0
0
1
0
0
6
6
57
16
0
0
8
0
0
0
0
0
0
4
4
0
0
0
0
0
0
2
2
40
0
0
0
0
8
0
0
0
0
0
0
0
0
0
8
17
0
0
0
0
16
1
0
16
0
16
16
0
0
38
0
0
16
16
0
1
28
28
0
0
16
16
8
0
2
2
0
0
1
4
0
8
16
8
8
0
2
0
20
4
0
0
16
0
0
1
25
25
1
1
0
0
8
0
0
0
21
0
0
0
0
0
8
0
0
0
8
0
1
0
0
3
8
16
16
16
16
0
0
0
0
0
8
0
16
0
0
8
8
0
8
8
8
8
0
16
16
16
8
0
4
8
0
24
8
8
8
8
0
8
8
4
4
8
0
0
8
8
8
0
8
0
0
0
0
0
0
0
16
0
8
4
13
1
1
1
0
1
0
0
0
0
8
0
0
6
2
0
0
0
0
0
2
24
0
4
0
0
2
2
8
0
8
0
8
4
16
0
16
4
4
0
0
0
0
1
2
28
24
8
0
8
16
0
0
0
8
0
0
8
8
0
0
8
0
0
0
8
0
0
0
0
16
0
24
0
2
30
0
0
0
0
0
4
4
8
0
0
0
0
8
0
0
0
0
0
0
0
0
0
10
0
0
24
0
0
8
8
8
0
0
24
0
0
0
8
8
0
0
0
8
8
9
0
8
8
0
2
1
0
0
0
2
0
0
4
1
24
0
0
16
0
8
8
0
24
24
0
0
0
0
0
0
8
8
20
2
0
16
8
0
8
0
0
0
8
8
16
24
10
0
8
0
0
32
0
8
25
16
0
0
0
0
0
0
0
0
16
16
16
0
0
0
32
32
8
4
0
16
0
0
8
0
0
0
0
16
16
16
8
0
2
0
0
8
4
4
0
0
7
0
0
0
0
8
8
20
2
48
48
8
8
16
16
0
0
0
0
0
0
4
0
0
8
8
8
8
8
0
0
0
0
0
0
0
0
8
0
16
24
0
0
0
8
8
0
16
16
16
8
2
0
8
4
0
0
0
0
4
0
1
8
0
0
0
0
0
8
8
8
0
0
8
27
0
0
24
0
0
8
8
16
0
0
20
0
8
0
17
0
0
0
0
8
1
1
16
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
56
0
8
9
32
1
0
0
16
16
0
0
8
0
0
1
14
0
12
8
4
4
4
4
0
0
0
0
8
0
16
0
8
0
8
4
8
0
8
0
0
0
20
16
0
4
8
0
0
16
0
0
0
0
0
16
8
0
0
22
4
16
1
8
2
2
8
0
16
0
0
8
16
0
0
0
20
6
0
8
17
0
4
8
16
0
0
0
0
8
8
16
0
2
0
0
0
0
0
0
8
0
0
0
16
0
1
0
16
0
1
8
0
8
0
0
0
0
0
0
0
0
0
0
0
8
0
2
0
8
4
0
24
0
0
0
0
24
0
0
0
0
0
0
7
0
48
0
0
8
0
16
16
0
0
2
16
16
0
1
4
4
0
22
0
32
16
16
16
16
8
4
24
0
0
0
0
8
8
0
0
0
0
0
0
0
9
0
0
8
0
0
0
0
0
0
0
8
8
0
0
8
0
32
0
0
0
32
32
0
0
4
4
4
16
16
0
0
0
0
9
1
0
4
8
0
0
8
0
0
0
16
0
16
0
0
0
0
0
8
1
8
16
4
0
8
8
8
8
0
1
0
0
0
3
8
0
0
16
0
0
0
2
0
0
16
8
16
16
0
0
0
0
0
16
0
4
4
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
4
4
0
0
8
0
16
18
0
0
0
21
1
16
18
0
20
20
0
0
0
0
8
0
0
16
0
0
0
0
0
0
0
0
0
8
36
52
4
24
0
24
2
0
0
21
0
0
0
0
8
2
16
16
16
16
8
0
8
8
0
0
0
0
8
0
8
8
8
2
2
16
16
8
0
8
16
16
4
18
8
3
0
0
0
0
0
0
0
1
0
32
1
2
0
40
0
0
0
0
0
0
8
4
0
24
16
0
8
8
0
0
0
0
0
0
0
16
0
0
0
3
16
8
0
20
1
1
1
1
1
1
20
0
1
16
8
0
16
0
8
8
8
0
0
0
6
0
9
18
8
0
0
0
8
8
0
0
0
32
32
0
0
0
0
0
4
0
0
0
2
2
20
4
2
0
0
0
0
16
0
18
0
0
8
8
0
8
0
0
16
16
16
4
0
0
0
0
0
0
0
16
16
16
0
24
0
0
0
2
1
0
0
8
0
0
0
0
0
0
0
0
0
0
16
16
0
1
1
0
1
1
4
4
0
8
8
0
0
0
16
16
16
16
0
8
0
0
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
0
8
8
8
8
0
16
16
24
24
8
0
0
0
4
0
0
8
0
16
16
4
0
0
0
0
0
0
8
8
8
0
2
0
0
8
0
0
0
0
8
18
8
8
8
8
0
0
0
0
4
0
0
4
20
0
0
0
8
8
8
0
2
4
0
0
0
0
8
0
0
4
4
4
0
8
0
0
0
0
0
0
17
17
17
0
0
32
0
8
2
8
16
0
0
0
24
0
0
0
0
0
0
0
0
0
16
1
8
8
8
8
16
16
0
0
0
2
2
16
0
16
0
0
0
0
0
15
0
2
32
32
16
0
0
24
4
4
18
8
1
0
0
0
0
0
16
16
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
25
3
3
3
0
0
16
16
0
2
2
4
0
8
0
0
0
0
0
24
2
2
0
0
0
0
0
0
0
0
8
0
0
0
0
1
0
0
0
0
0
0
0
0
0
2
8
0
0
0
4
4
0
8
0
0
0
16
16
0
0
0
0
0
0
16
8
8
0
0
8
0
0
0
1
1
16
0
8
0
8
17
1
40
0
7
4
0
0
0
0
16
0
0
0
0
1
0
8
0
8
2
2
0
32
0
8
0
0
0
1
0
0
0
0
0
0
0
2
0
0
0
0
0
4
0
0
0
1
0
0
0
8
0
0
19
32
32
32
0
0
0
8
0
40
8
8
8
8
8
8
8
4
4
2
0
16
17
17
0
10
48
48
0
0
0
0
8
16
20
0
0
0
12
8
24
0
0
16
16
16
16
0
0
16
0
0
0
0
0
0
12
12
0
0
0
0
0
8
24
27
0
16
0
0
0
0
0
8
8
8
8
8
0
0
8
0
0
0
0
0
8
0
11
11
0
0
0
0
0
6
30
30
30
8
14
0
16
0
0
0
16
8
8
0
0
4
4
0
0
0
0
0
0
0
8
0
0
0
16
0
0
0
2
16
16
4
4
0
4
1
1
0
0
0
0
8
0
2
0
0
8
16
1
1
0
0
16
16
8
0
0
0
0
0
0
0
0
0
0
0
8
0
0
8
1
0
0
0
0
0
16
8
8
0
0
0
0
0
0
0
0
33
0
1
0
0
0
0
0
8
0
0
0
0
0
16
0
16
4
0
16
0
0
0
0
8
0
0
0
0
0
0
20
0
18
0
0
16
16
0
0
0
0
1
0
8
0
8
0
0
16
0
0
0
0
2
4
0
0
16
16
0
0
0
0
0
8
0
4
0
0
0
24
24
8
8
8
8
0
0
0
8
0
1
0
0
8
0
16
0
0
1
0
0
8
0
0
8
8
2
2
0
0
0
8
8
0
0
0
8
8
8
0
4
4
16
0
0
0
0
0
21
0
0
0
0
0
16
0
6
0
8
8
8
0
0
40
8
0
16
0
0
4
0
0
32
32
20
24
24
16
1
1
16
0
1
8
8
0
0
0
4
0
8
8
24
16
0
0
0
0
0
0
8
0
0
0
16
0
1
1
20
4
4
4
0
2
4
0
16
24
0
0
0
0
0
0
0
4
4
8
8
0
0
1
8
8
0
0
0
24
8
4
4
8
0
0
0
0
4
0
0
17
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
24
8
0
0
8
0
0
0
0
8
8
0
0
0
24
24
0
0
0
0
0
0
0
16
0
2
0
0
0
1
0
0
4
8
8
0
0
0
0
0
0
0
0
0
2
14
0
6
4
20
0
24
0
0
0
0
1
0
0
11
0
0
0
1
1
0
0
0
16
0
0
0
16
16
16
0
20
20
8
8
5
5
5
5
0
8
8
24
8
8
8
2
0
0
21
4
4
4
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
8
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
24
0
0
0
0
0
4
0
8
0
4
0
16
8
0
0
18
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
48
0
0
0
16
16
8
6
8
0
8
0
0
0
8
4
8
1
12
28
0
0
0
60
8
0
4
0
0
21
8
0
8
8
0
9
9
16
8
8
4
4
0
8
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
8
0
0
0
0
0
8
0
8
0
2
9
0
0
0
0
0
0
0
0
0
0
16
0
8
8
0
0
20
20
8
8
0
0
0
8
0
16
0
4
0
0
0
0
0
0
0
0
8
0
0
0
0
0
22
8
8
0
0
0
22
22
22
0
0
0
0
0
0
0
8
4
0
0
0
56
56
2
0
0
8
0
2
2
16
16
0
0
0
0
0
8
8
8
0
0
0
1
0
0
0
0
0
0
0
0
4
4
17
4
24
22
0
0
0
12
12
0
16
0
8
0
0
0
2
8
8
4
0
0
0
0
8
0
0
0
16
0
0
0
0
10
0
24
0
0
0
16
0
0
4
0
0
1
6
0
2
2
0
0
0
33
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
4
0
8
0
0
0
0
16
16
0
0
0
0
0
24
0
8
11
0
0
0
0
0
0
0
17
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
0
0
0
8
0
0
16
0
0
0
0
8
1
0
0
0
0
8
0
0
16
8
8
0
16
0
1
26
0
0
0
16
16
8
8
4
0
4
0
4
8
1
0
0
0
0
1
2
2
0
0
2
0
0
0
2
0
32
32
4
4
24
0
1
1
8
0
8
0
8
1
8
0
0
0
0
5
4
0
0
0
0
8
0
0
0
4
0
0
0
0
0
0
0
0
8
16
16
2
0
8
8
8
0
0
19
0
0
16
2
8
16
16
16
8
16
0
4
8
8
8
0
0
0
0
8
0
0
0
0
0
8
8
8
16
0
16
13
0
0
0
16
0
0
0
1
22
0
0
0
0
0
0
8
0
0
16
16
0
32
0
8
0
16
16
2
0
0
8
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
1
0
0
0
1
8
0
8
4
16
0
0
16
0
0
0
0
0
8
8
0
0
0
0
0
0
16
0
0
4
0
0
4
0
0
8
0
20
0
0
0
0
8
8
8
0
0
16
0
8
0
0
0
2
0
24
24
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
12
1
0
8
12
12
8
0
0
0
0
0
0
4
0
0
0
12
0
0
8
17
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
8
24
0
8
0
0
0
0
0
0
8
8
16
0
0
8
16
8
0
4
0
0
0
0
1
0
33
8
8
8
6
8
8
32
0
4
16
52
52
0
0
0
0
0
0
0
24
32
0
0
4
4
8
0
0
0
0
0
0
0
8
8
8
8
0
8
0
4
4
0
0
8
16
8
8
18
8
8
0
8
24
24
0
0
0
0
8
0
9
9
12
0
16
16
0
0
0
8
0
0
0
16
0
0
0
0
8
0
0
0
0
0
16
0
2
8
8
24
8
8
0
49
0
24
0
0
16
16
0
0
0
0
0
0
0
0
8
8
16
8
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
16
0
0
0
8
8
0
16
0
0
0
0
16
0
16
1
0
0
0
16
0
0
2
1
1
14
0
16
0
0
8
8
8
17
0
2
0
1
0
0
0
0
0
0
17
17
16
16
2
1
0
24
0
0
0
16
0
0
0
0
8
8
0
0
16
8
8
12
8
0
0
8
0
16
0
1
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
18
0
0
0
4
4
4
0
0
3
0
0
0
12
2
26
0
8
16
16
0
0
0
8
0
8
4
8
8
8
0
0
2
0
0
0
0
0
0
0
0
0
2
0
0
1
0
4
4
1
0
0
0
0
0
0
0
1
1
1
1
1
0
0
1
0
0
0
8
8
8
8
0
0
0
0
0
0
0
0
0
8
0
0
0
24
8
8
0
1
1
0
0
0
2
0
16
16
16
16
0
1
12
0
0
0
0
8
8
8
0
16
6
1
0
16
0
0
0
0
0
0
0
0
0
12
8
4
4
8
0
1
1
1
1
1
1
0
0
0
0
16
0
0
0
0
0
0
8
0
8
0
0
0
0
0
0
0
0
0
0
0
16
10
0
0
0
16
0
8
0
0
0
0
2
0
8
0
0
0
0
0
0
0
0
17
0
0
0
0
0
0
0
0
0
0
0
8
2
0
0
20
20
0
0
0
24
0
8
8
16
8
0
20
0
16
0
8
36
4
8
8
0
0
8
0
0
0
16
16
16
16
8
0
0
3
0
0
0
0
8
0
0
16
0
0
0
8
0
0
16
0
2
0
0
0
0
0
8
1
1
8
8
8
8
8
0
0
0
8
44
0
0
0
16
0
0
0
0
0
0
0
0
8
0
2
0
24
0
0
24
0
0
16
16
0
0
8
8
16
2
0
0
0
0
8
0
8
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
1
10
0
16
16
0
0
0
0
0
0
0
0
0
0
0
11
11
0
0
16
0
0
1
0
0
0
0
0
0
0
0
0
0
8
8
16
1
0
0
0
0
8
8
8
8
8
8
8
8
8
2
8
0
0
0
0
0
0
0
0
0
8
8
8
0
8
8
8
0
0
0
0
0
22
8
0
0
0
0
2
0
2
0
12
8
8
0
8
8
0
4
0
0
26
0
0
1
1
8
0
56
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
16
0
0
0
0
0
0
0
17
4
0
0
0
8
0
0
0
0
0
0
0
0
0
0
8
0
0
0
25
0
19
0
0
4
56
8
9
0
0
0
0
1
24
24
24
24
2
0
0
0
2
0
0
0
0
16
0
8
0
8
0
0
16
8
0
8
0
16
0
8
0
0
0
0
7
0
0
0
0
16
16
16
16
16
16
16
0
0
24
0
0
0
0
8
0
0
4
0
0
0
4
0
0
0
16
16
0
4
4
1
0
16
8
0
0
4
0
0
1
12
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
8
8
8
0
0
0
26
26
0
8
0
0
16
16
16
0
2
0
0
0
0
0
0
8
0
0
0
0
0
8
8
0
8
0
2
0
0
24
0
2
0
4
12
0
1
0
0
0
0
8
0
6
24
0
0
16
0
0
0
0
0
0
8
8
4
1
0
0
0
48
16
8
0
0
8
0
0
0
24
16
0
6
6
0
2
4
8
8
0
6
16
0
0
0
0
0
0
0
0
0
0
0
8
0
1
16
16
16
16
0
0
0
0
0
2
8
8
17
8
0
0
0
0
0
0
2
0
0
0
8
0
0
0
0
17
16
8
0
0
0
4
0
0
14
0
0
16
16
0
18
18
32
1
0
0
0
0
16
16
16
0
17
17
0
0
16
0
0
8
8
0
0
4
0
0
0
2
8
8
8
0
0
0
0
0
0
0
16
16
0
0
0
1
0
8
0
0
0
0
0
24
24
8
1
8
8
8
8
0
8
1
16
16
0
0
0
0
0
1
0
1
8
8
0
0
0
0
0
0
0
0
8
0
0
0
8
16
8
8
24
0
8
0
0
0
0
0
0
0
0
1
1
0
8
0
8
6
6
6
6
6
0
20
0
8
8
8
8
20
20
0
0
0
16
0
16
0
2
0
0
0
0
0
8
8
8
0
0
0
0
0
8
16
0
8
0
3
0
0
8
0
0
0
16
2
0
0
0
0
0
0
0
61
0
0
0
20
0
0
9
0
0
0
0
0
0
4
16
0
4
0
0
0
0
0
0
0
8
0
0
0
16
0
9
0
0
0
0
16
0
0
0
16
0
24
8
8
0
0
0
0
0
8
8
8
8
8
0
0
0
0
6
0
0
0
8
8
0
8
8
8
4
0
12
2
4
4
4
4
4
8
8
0
0
0
16
0
8
8
8
8
16
16
16
16
8
16
0
0
0
0
0
0
0
0
4
0
2
2
8
0
0
0
0
1
0
0
16
0
0
0
0
0
0
0
0
16
16
16
0
0
8
24
16
0
8
8
0
0
0
0
16
4
0
0
0
4
0
8
0
0
0
0
8
8
8
2
8
8
32
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
4
16
0
0
0
0
0
8
36
8
0
0
8
8
8
8
0
8
0
0
8
8
0
4
0
0
8
0
0
8
0
16
2
0
16
0
0
16
16
16
16
16
16
16
0
2
8
8
0
0
32
16
8
0
16
16
0
8
16
16
0
0
0
0
0
0
4
24
4
0
8
4
0
0
0
2
0
0
1
1
0
0
0
8
8
0
0
0
0
26
26
0
0
8
0
8
8
8
16
0
0
4
0
2
2
2
4
16
16
16
0
8
0
8
0
0
13
16
16
0
0
8
25
17
16
16
0
17
16
16
8
16
9
9
9
0
4
4
24
0
0
16
0
0
0
8
8
0
8
8
0
24
0
0
8
16
16
0
8
4
8
32
8
0
0
2
2
2
0
8
8
8
8
8
0
0
0
0
8
0
16
0
4
9
9
9
16
0
8
0
0
0
0
8
0
0
20
16
16
0
0
0
0
4
4
0
24
24
0
0
2
8
8
0
0
0
0
8
16
4
16
16
0
16
16
0
0
1
1
1
0
43
43
43
43
43
0
4
0
8
8
0
2
2
0
16
28
0
0
8
32
8
8
24
0
8
8
0
0
8
2
2
0
0
32
0
32
32
0
24
0
0
8
0
20
0
12
0
0
0
1
0
0
20
0
16
0
0
24
0
0
0
8
0
16
16
16
8
0
0
0
0
0
0
0
0
8
0
1
0
0
0
8
8
0
0
0
8
8
8
8
8
0
0
0
16
16
16
0
0
24
16
0
0
0
1
0
0
0
0
0
4
4
1
12
4
4
5
5
0
8
0
0
0
8
8
32
0
0
0
8
8
0
0
0
4
1
2
2
16
16
16
16
16
16
8
2
0
0
8
8
8
0
5
5
0
4
4
0
4
0
0
4
4
16
2
4
4
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
16
16
24
0
0
0
1
16
16
32
32
32
0
0
7
0
16
2
2
0
2
16
8
0
0
0
0
16
16
16
0
8
0
22
0
16
0
0
0
0
8
8
8
0
4
8
0
0
0
0
24
24
24
2
0
0
0
0
0
0
0
0
24
24
0
4
8
0
8
0
0
8
4
1
4
4
0
0
0
8
8
0
0
0
2
0
0
8
8
8
16
0
0
0
8
1
1
1
1
0
8
1
0
0
4
8
0
0
6
8
1
16
8
0
6
8
1
8
40
0
9
9
9
9
9
0
0
0
0
0
0
0
8
8
0
8
8
16
8
8
0
0
0
0
0
0
1
0
0
16
16
0
0
0
2
2
2
0
8
2
2
0
0
0
4
1
3
16
16
16
0
8
0
0
16
8
0
0
0
0
0
0
16
0
1
0
0
0
0
0
0
0
8
0
8
8
8
8
8
16
16
16
4
8
0
0
0
17
17
4
0
8
8
8
8
8
0
5
1
4
0
0
16
16
16
8
0
0
0
16
16
16
0
0
0
1
0
2
0
0
8
16
0
0
8
1
1
1
0
0
0
0
0
0
0
16
16
0
16
16
0
8
16
16
0
8
0
8
16
16
16
16
8
0
0
4
4
0
8
8
8
0
0
8
16
0
8
8
8
8
0
0
0
4
4
8
8
0
0
8
8
8
56
0
0
0
0
4
0
16
0
16
16
0
0
0
4
4
0
0
0
0
8
24
0
0
0
0
2
8
0
16
0
0
0
0
0
8
8
0
0
10
8
8
16
16
16
8
12
0
8
0
0
0
8
17
17
8
8
8
16
0
0
8
8
24
2
8
0
8
32
8
16
16
16
0
0
0
8
0
0
0
0
16
16
16
16
16
4
28
0
0
0
0
24
0
1
8
0
4
0
8
8
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
1
16
16
0
0
0
16
16
0
0
12
12
12
12
0
0
0
0
0
16
8
1
0
0
4
4
4
8
0
0
16
8
12
8
8
18
0
8
8
0
0
0
0
0
8
1
2
2
0
0
8
0
8
0
0
48
4
4
0
0
4
16
8
0
0
0
0
0
1
8
8
8
8
0
8
4
0
0
8
0
0
0
8
8
0
8
8
16
8
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
4
4
0
8
0
0
0
0
0
0
0
0
0
0
0
0
16
17
17
17
19
19
0
0
0
8
8
0
0
0
0
8
8
0
0
0
0
12
9
0
0
8
2
0
8
0
0
0
0
8
0
2
8
4
0
0
0
4
4
4
4
2
0
0
0
8
8
0
0
0
0
0
16
16
16
0
0
20
0
0
0
16
8
16
8
8
0
20
28
16
16
8
8
0
17
0
8
0
0
16
0
22
0
0
16
0
0
0
0
2
0
0
8
8
0
0
0
8
8
8
8
8
8
8
0
4
4
28
12
0
0
0
0
0
0
0
0
8
8
0
0
1
1
0
0
1
24
0
0
0
0
0
0
0
0
8
8
20
0
8
8
0
0
0
0
0
0
0
16
0
16
8
0
0
9
16
9
8
0
8
8
17
16
0
0
0
0
0
0
16
16
17
24
4
0
0
0
0
0
16
1
0
2
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
8
4
0
8
0
0
0
1
1
2
0
16
0
0
8
16
8
24
4
0
8
4
0
8
0
2
2
4
16
16
0
0
0
0
0
0
0
16
16
16
8
0
8
12
8
8
8
8
8
8
8
8
8
8
8
8
8
0
1
8
16
0
0
0
0
32
32
32
0
0
0
0
0
1
0
0
0
0
0
16
0
0
0
0
0
0
0
4
4
48
8
8
0
0
1
0
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
8
24
0
8
8
16
16
0
0
0
0
0
0
10
10
0
0
0
0
16
0
16
16
16
16
8
0
0
8
0
0
0
0
0
0
3
8
8
8
8
16
0
0
0
26
8
0
0
0
0
0
0
18
18
0
0
0
8
8
0
4
8
0
0
0
4
2
2
2
0
0
24
8
8
16
8
8
0
32
0
0
0
0
0
0
0
0
0
0
8
0
9
0
0
0
16
0
0
4
0
0
16
16
8
0
0
16
3
16
8
8
0
0
0
0
0
0
0
24
12
0
16
8
0
0
8
0
0
0
0
0
0
8
16
16
0
0
0
0
0
0
16
0
24
16
0
0
0
0
0
8
8
8
4
0
0
0
0
16
16
16
16
0
8
8
0
4
8
2
0
0
32
32
0
4
0
0
0
2
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
8
18
0
0
0
0
8
8
8
8
0
0
0
0
0
0
0
0
0
0
8
0
4
0
8
17
4
8
8
8
1
0
0
1
8
0
0
8
0
0
0
0
8
32
0
0
4
0
0
8
25
0
8
8
1
9
0
8
5
17
16
4
16
16
0
1
1
8
1
0
0
0
0
8
8
8
8
0
8
8
8
0
26
0
0
0
0
0
8
0
16
16
0
0
24
0
0
0
2
0
0
0
8
0
0
0
0
2
2
2
16
0
32
16
16
8
8
8
0
8
0
0
10
10
0
0
0
8
0
4
4
4
16
16
0
4
16
16
16
0
4
16
16
17
8
0
17
0
0
16
0
0
0
0
16
0
0
8
0
16
0
0
8
8
17
16
0
0
16
16
0
0
0
0
0
8
0
0
4
8
0
0
8
2
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
4
0
16
8
0
0
8
0
0
0
8
16
16
4
24
8
0
0
0
4
0
0
0
0
0
0
4
4
4
0
8
8
8
8
1
16
0
8
8
8
0
0
0
1
0
0
0
0
16
48
16
0
8
8
0
10
10
0
0
8
1
0
0
0
0
0
0
0
1
1
0
0
0
8
0
0
0
0
0
8
8
8
16
16
12
0
10
2
2
2
0
0
24
32
8
8
0
0
16
16
0
0
4
4
4
0
0
16
18
18
0
8
8
0
16
1
0
0
40
40
0
0
0
0
12
0
6
0
0
0
0
0
1
1
1
1
1
16
16
25
0
0
2
2
4
0
0
0
0
0
9
0
0
4
0
0
0
0
0
8
16
16
8
0
8
4
0
8
0
0
16
16
0
8
16
0
8
0
25
0
0
0
2
8
8
8
8
8
0
16
4
0
0
0
0
16
16
8
0
0
0
2
2
0
16
40
0
8
24
8
0
8
0
8
8
8
0
8
8
8
8
1
8
0
4
4
2
8
0
0
0
0
0
0
2
16
0
0
0
0
0
0
0
0
0
0
8
8
8
48
24
24
24
24
24
0
0
0
0
8
0
0
1
1
12
8
4
0
0
0
0
1
16
0
8
0
0
0
0
0
8
16
0
0
16
16
16
16
24
0
0
0
8
0
0
0
0
1
1
0
0
0
16
8
0
0
8
0
0
0
0
0
2
8
8
8
16
17
0
0
0
0
0
0
0
0
4
0
0
4
8
8
1
0
1
1
0
0
0
0
0
8
8
0
17
17
0
8
8
8
2
0
0
0
2
2
4
4
4
0
0
40
36
2
2
2
16
0
0
0
0
0
8
8
8
8
8
0
0
4
8
0
0
20
20
20
0
0
0
0
16
16
16
16
0
16
16
16
6
0
0
0
0
8
0
32
8
4
16
3
3
8
0
0
8
4
20
4
4
24
8
8
8
8
0
0
8
16
0
0
3
0
0
16
32
0
0
8
4
4
1
0
0
0
0
0
0
0
0
4
0
0
0
0
0
4
4
4
4
8
0
0
0
0
8
1
1
1
0
0
0
16
4
0
0
16
0
24
4
4
4
0
0
16
16
0
0
8
0
4
0
0
0
2
2
16
0
0
16
0
16
0
0
0
0
0
16
16
0
4
0
0
0
0
0
0
0
0
8
12
12
12
8
26
26
26
26
26
26
8
8
8
0
0
0
10
0
8
0
4
0
0
16
16
16
0
16
0
0
8
0
0
8
8
8
8
0
4
0
0
24
0
0
16
16
0
0
2
8
8
8
33
20
0
0
0
0
0
1
0
0
16
8
8
8
8
12
20
2
0
1
1
0
0
0
8
0
0
0
0
0
0
0
2
4
16
0
0
0
0
8
8
0
0
0
0
8
8
0
0
0
8
40
16
1
0
0
0
0
4
4
0
0
32
0
0
0
8
0
0
0
20
16
0
16
16
0
16
8
8
0
0
8
16
4
20
8
0
8
8
16
0
0
0
8
8
0
48
24
0
0
0
0
4
4
0
0
2
0
0
0
8
0
0
12
12
2
2
2
0
0
0
0
0
0
1
0
0
20
0
8
0
0
0
16
1
2
24
1
0
0
16
16
16
16
0
0
0
0
0
0
0
0
0
0
16
8
0
0
0
4
56
0
0
8
8
8
8
0
0
0
0
1
0
4
16
16
16
0
4
0
0
2
8
4
0
0
0
8
8
0
0
0
8
8
0
16
0
0
0
0
0
8
0
30
1
0
16
8
8
16
8
0
0
0
0
0
0
0
0
1
8
32
8
8
8
0
0
8
1
0
0
0
0
6
0
4
4
4
0
0
0
0
0
0
0
8
8
0
0
16
16
16
8
2
2
8
0
0
0
0
0
16
4
16
16
16
4
8
8
8
8
0
20
8
8
8
0
8
0
0
8
16
16
8
8
8
0
0
0
0
16
0
0
1
8
8
0
16
16
0
0
16
0
0
0
5
5
1
1
1
1
0
8
0
0
2
0
0
0
16
16
0
2
0
8
0
21
21
4
4
32
8
1
0
0
0
16
0
0
0
0
0
0
0
10
12
0
0
0
8
0
4
4
0
32
16
16
20
1
16
16
16
0
16
8
8
0
16
16
16
8
8
0
8
4
8
8
8
8
8
16
16
0
0
16
0
0
0
8
0
0
0
8
16
4
8
8
8
0
0
0
16
8
8
8
8
8
0
0
24
0
0
8
8
8
16
4
4
0
0
8
16
2
2
0
4
8
8
8
8
1
16
0
0
16
0
8
1
0
0
32
0
0
8
8
0
8
8
0
24
8
2
8
8
0
0
16
16
0
0
0
8
8
0
4
0
0
0
0
8
8
0
0
34
34
16
0
0
16
0
0
0
9
41
0
0
0
8
25
25
0
8
0
0
32
2
8
8
8
0
16
0
0
0
0
9
6
0
0
0
8
4
1
16
16
0
8
0
0
16
16
24
24
8
8
0
0
0
1
8
4
16
0
0
16
8
1
1
1
0
16
0
0
0
8
8
17
0
0
0
0
1
4
4
0
4
4
16
16
16
0
0
0
0
0
0
0
0
2
0
0
9
9
9
0
0
16
2
0
0
0
0
0
0
1
1
0
1
1
1
0
26
0
0
1
0
8
8
8
8
24
0
0
0
1
1
16
1
1
4
4
17
4
8
16
8
0
0
0
0
1
1
0
0
0
0
0
0
0
8
8
0
32
32
25
25
0
0
0
16
18
18
12
0
0
32
0
0
0
16
16
16
17
0
0
0
0
16
0
0
0
28
28
16
0
0
8
8
8
16
0
0
0
0
8
0
0
2
8
8
0
0
0
4
4
4
8
8
8
0
16
4
0
0
16
24
16
0
0
0
8
0
4
1
0
8
0
0
12
8
8
8
12
12
8
8
0
0
8
0
10
16
24
24
0
8
0
0
0
8
8
8
0
0
0
0
0
0
0
0
16
8
0
0
0
8
0
0
0
0
8
16
16
0
0
0
8
0
0
0
1
1
0
2
8
12
0
0
0
24
0
0
16
8
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
16
16
16
8
0
16
16
0
0
0
0
4
0
0
16
16
24
0
8
8
0
0
0
0
0
0
0
0
16
16
8
10
10
0
0
0
8
0
0
0
0
0
0
0
0
0
8
8
0
8
8
8
0
0
33
8
16
16
16
16
8
0
0
0
0
8
0
0
0
0
2
2
0
8
0
0
0
0
0
8
8
8
2
2
8
0
8
16
0
0
8
8
16
2
0
0
8
0
4
8
0
0
0
0
0
0
0
8
0
8
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
8
40
0
0
0
0
16
8
0
8
8
8
0
0
16
16
16
0
0
0
1
0
0
0
0
0
0
10
8
8
0
0
8
8
0
0
0
57
8
0
8
0
8
8
8
0
0
2
0
4
0
0
16
4
4
0
0
0
8
8
8
0
0
0
0
8
8
0
0
0
0
8
8
0
0
0
0
0
2
0
8
16
0
0
8
32
32
0
8
32
0
8
16
0
8
16
16
0
0
0
0
0
0
0
0
0
16
0
0
0
8
9
0
24
0
18
18
4
8
0
0
8
8
8
0
8
8
8
8
42
4
4
4
0
0
30
0
0
4
0
0
0
0
0
0
24
24
48
0
10
10
8
0
8
8
16
16
2
0
0
0
8
0
16
16
24
8
8
8
8
8
24
8
0
34
8
0
0
0
0
0
0
0
17
0
0
0
16
16
8
8
0
0
0
8
2
2
2
8
1
0
16
4
0
0
0
8
8
0
0
0
0
0
0
8
0
16
16
0
0
0
0
0
8
8
8
8
8
0
0
0
0
8
0
0
8
16
16
0
0
0
24
24
24
24
0
16
0
0
8
0
0
0
8
8
8
0
0
2
2
0
0
0
32
0
0
8
8
8
0
0
0
0
0
0
0
16
16
16
8
8
0
42
16
0
0
0
0
0
0
0
0
8
0
16
8
0
16
9
20
20
8
8
16
16
16
16
16
16
16
16
8
0
17
17
4
4
8
8
0
0
8
6
4
0
0
16
16
16
8
8
8
16
18
18
18
0
0
0
4
26
0
0
0
16
16
0
8
2
0
8
0
2
8
0
0
16
32
32
0
0
8
16
4
4
8
2
16
16
16
0
2
2
0
8
0
0
0
16
0
16
16
0
9
0
0
0
0
0
8
0
0
0
0
1
1
1
1
0
8
0
0
0
0
0
16
0
0
32
1
5
0
0
4
34
8
0
1
0
16
16
16
0
16
0
0
8
24
24
1
0
8
8
16
2
1
1
1
0
0
0
16
0
0
0
8
8
8
8
0
0
2
0
16
9
2
0
0
0
22
8
8
0
0
0
0
8
8
8
0
0
4
8
8
0
0
0
8
8
8
24
24
0
0
16
16
1
1
0
0
0
0
0
0
0
0
16
2
0
2
0
16
2
0
8
8
8
8
8
8
18
18
18
0
0
40
4
4
0
0
8
8
0
0
0
0
0
0
2
0
0
0
0
0
0
8
12
12
0
0
0
0
0
0
0
0
0
0
4
8
0
0
0
8
0
0
0
0
16
8
0
0
0
8
8
8
8
0
24
8
0
1
2
0
0
0
1
0
9
28
0
0
0
0
0
10
2
0
8
0
18
0
15
3
8
16
8
0
0
0
8
8
8
2
0
0
32
0
4
4
4
0
0
28
28
0
0
16
8
32
36
21
16
8
16
16
2
0
0
0
0
16
0
0
8
0
36
0
0
0
16
32
8
5
0
8
8
0
0
1
0
8
0
0
0
8
8
8
44
4
1
0
0
0
0
24
24
0
0
6
0
0
0
0
0
0
16
0
0
0
12
12
12
12
12
0
0
0
0
32
0
8
0
0
0
8
0
0
0
0
0
0
16
0
0
2
2
8
8
0
0
0
0
0
0
0
24
0
20
20
4
2
2
0
16
0
0
16
16
16
16
16
16
16
16
8
0
16
8
24
24
20
4
1
2
16
16
16
0
0
8
0
9
9
9
9
0
0
0
0
8
8
0
8
9
0
8
8
24
0
0
0
0
4
0
0
18
16
24
0
0
10
0
0
0
0
0
0
0
32
0
4
24
24
16
0
0
0
0
0
8
16
14
14
16
0
0
8
8
0
24
2
0
17
0
0
8
0
1
1
0
0
16
0
0
0
4
16
8
0
0
0
2
0
16
1
1
1
1
0
16
1
3
0
16
8
0
0
4
0
0
0
0
8
8
8
16
0
8
0
0
0
0
0
0
36
0
0
0
0
0
8
8
8
0
0
0
0
8
0
8
8
8
8
8
0
0
18
0
1
8
0
1
8
8
8
16
8
8
8
8
8
0
0
4
24
24
4
0
2
4
0
0
0
0
0
8
0
0
0
0
0
0
0
0
24
16
0
8
4
0
0
0
0
0
0
4
4
8
0
0
16
8
0
0
28
0
0
0
0
0
0
16
16
0
1
16
8
8
0
0
0
0
0
0
8
8
8
8
0
0
0
0
0
0
0
8
8
8
0
0
8
0
0
0
40
40
8
16
16
16
16
16
16
16
16
16
1
0
0
4
4
4
0
16
8
8
8
0
4
0
16
0
0
16
0
0
2
16
0
8
4
8
8
16
0
0
8
2
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
8
4
24
0
4
0
0
0
16
0
0
4
4
16
8
12
32
32
16
0
0
0
4
0
0
4
16
0
0
0
8
0
0
0
0
8
8
16
16
0
0
0
0
0
4
4
0
8
0
0
17
0
0
16
0
24
0
30
8
8
0
0
4
0
4
0
0
0
2
33
0
0
8
8
0
0
16
1
0
8
0
0
16
0
0
1
1
0
0
0
4
8
0
0
1
0
2
2
2
2
0
0
16
16
0
32
32
32
0
0
0
0
0
0
0
0
0
0
0
16
0
16
16
16
0
0
0
1
0
4
0
8
4
0
8
24
0
0
2
16
16
0
0
0
0
8
0
0
0
0
0
4
4
8
16
8
0
4
8
0
0
16
0
0
0
0
4
0
0
0
0
0
0
8
0
37
0
0
0
0
0
0
0
0
0
25
8
0
0
0
0
0
8
8
4
0
0
0
0
16
4
2
0
0
0
0
8
0
16
4
8
8
0
0
8
4
0
0
2
0
16
0
16
8
20
0
0
0
0
0
0
0
0
0
8
0
0
0
1
0
0
0
20
20
20
0
12
0
0
24
24
8
8
4
0
16
0
1
1
0
8
0
0
8
0
0
0
0
0
20
6
8
4
0
0
8
8
8
16
0
0
0
0
0
0
8
8
8
16
0
1
1
0
0
8
8
8
8
8
1
8
8
0
0
0
0
0
2
0
9
0
0
0
0
0
3
0
0
0
0
0
4
0
0
1
0
0
0
20
0
0
8
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
24
0
0
0
8
0
0
0
0
0
0
18
8
8
0
0
4
4
24
0
0
0
0
8
0
10
0
8
0
8
1
0
0
8
0
16
16
16
16
0
4
0
0
2
18
16
0
0
0
4
0
2
0
0
0
0
0
8
8
8
8
8
0
8
0
2
0
0
0
16
0
27
0
0
0
8
8
0
0
3
0
0
4
16
0
0
0
0
0
0
0
16
0
16
16
16
0
14
0
16
16
1
13
13
13
0
1
0
0
0
0
0
16
8
16
8
8
0
0
2
0
8
8
17
0
0
0
4
0
16
20
16
16
8
0
0
16
16
16
16
16
0
8
4
0
0
0
0
0
14
0
0
0
0
0
0
0
12
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
16
16
24
0
0
0
0
0
8
8
8
8
8
0
0
0
0
0
0
8
0
0
0
0
8
16
8
16
0
24
24
16
0
0
0
16
4
16
16
0
8
0
4
8
8
0
32
32
0
0
0
4
0
0
8
8
0
0
0
16
16
0
0
20
0
0
16
8
0
0
0
0
0
16
16
0
8
8
1
32
32
32
1
8
0
0
0
8
2
0
0
0
0
0
0
1
0
0
0
16
16
0
0
0
0
2
20
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
6
16
16
16
8
0
4
0
8
0
0
24
1
16
16
0
0
0
0
16
2
0
8
0
16
0
0
0
14
14
14
8
16
1
0
18
18
0
4
0
0
0
0
0
16
8
0
0
8
2
0
8
8
1
1
1
0
0
0
0
0
8
2
0
16
16
0
0
0
0
0
0
8
8
8
8
8
0
0
0
0
0
0
0
16
0
0
0
0
0
0
8
8
8
0
8
4
0
0
0
8
0
0
0
0
0
0
1
4
0
0
16
0
8
8
8
8
11
1
0
0
0
8
22
22
8
0
0
0
0
5
5
8
8
0
12
8
0
0
0
0
0
0
0
0
8
0
16
0
0
1
32
0
0
4
16
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
26
26
0
36
0
0
0
0
0
0
0
8
8
0
2
36
36
0
0
0
0
0
52
8
8
8
24
0
0
0
0
0
0
0
0
0
0
0
28
0
0
0
0
0
0
16
0
0
8
8
8
0
0
0
0
0
0
8
8
18
0
0
8
0
0
8
0
0
0
0
0
0
0
8
0
4
0
0
0
8
0
0
4
6
0
0
0
0
0
0
9
24
4
4
0
0
0
0
8
8
0
0
0
0
0
0
20
0
0
0
0
0
0
0
8
0
0
0
0
8
8
0
0
0
24
0
0
0
4
1
0
12
0
32
32
0
3
16
8
4
1
1
8
0
48
0
0
0
0
0
0
0
0
8
0
8
16
0
0
8
4
4
4
0
8
8
8
0
0
0
8
8
8
8
8
18
8
8
0
8
8
8
8
2
2
2
2
2
8
2
8
0
0
0
0
2
16
0
0
24
0
0
0
0
0
0
0
0
0
0
1
0
8
8
8
0
16
0
60
60
0
0
4
0
0
0
0
4
4
4
4
4
0
0
0
0
0
0
5
5
0
0
16
0
1
16
5
0
0
0
4
18
0
2
0
0
16
16
16
0
0
0
4
0
0
16
16
0
3
0
0
0
0
8
8
44
8
8
0
4
17
0
40
18
16
0
8
8
8
0
0
0
0
0
0
16
16
16
16
16
16
16
0
0
0
0
4
0
0
0
8
0
0
0
0
0
0
8
8
4
4
0
0
0
0
0
17
17
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
8
0
0
8
48
4
0
0
4
16
0
0
0
6
0
0
0
8
0
0
8
0
0
0
10
0
0
0
0
8
1
0
0
4
4
4
2
0
0
0
8
8
0
0
0
0
0
8
16
16
16
16
16
0
0
0
0
16
16
4
8
8
8
2
16
0
0
0
0
0
0
16
0
0
0
0
17
17
0
0
25
25
25
25
0
0
16
8
0
24
16
4
4
20
0
16
16
16
16
2
0
0
0
4
8
8
0
1
16
0
0
16
16
0
0
8
0
0
0
4
4
4
0
0
8
8
0
0
8
5
0
16
0
0
8
0
0
6
8
0
0
0
0
0
0
16
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
8
0
0
2
0
0
2
2
8
8
0
0
8
8
22
0
8
8
0
0
0
0
0
8
16
0
1
0
16
2
2
0
0
8
8
8
0
0
0
16
17
0
6
0
8
0
8
8
0
0
0
0
0
0
0
8
8
8
0
24
8
24
24
16
9
0
4
0
0
32
0
0
1
0
2
2
2
0
16
0
0
0
0
0
0
0
16
16
16
16
16
16
0
0
8
8
0
0
0
0
2
20
20
4
2
2
2
2
2
2
2
2
8
16
0
0
16
0
0
59
59
12
12
0
0
0
0
0
0
8
8
8
0
0
8
0
0
0
0
0
8
0
0
16
8
0
0
14
0
0
0
0
8
16
0
0
0
0
0
4
0
0
0
8
0
0
0
0
0
0
2
2
2
0
16
16
16
0
0
0
0
0
0
0
0
0
16
0
0
8
16
0
8
8
0
0
0
8
0
0
16
0
4
0
0
0
0
8
8
8
0
0
1
0
0
0
0
0
0
0
8
8
24
0
0
8
0
16
4
4
4
0
8
16
16
16
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
17
24
24
8
0
4
0
0
4
4
4
8
0
4
0
0
0
4
0
25
25
0
30
0
0
0
0
0
0
4
8
1
16
0
2
8
8
0
0
0
4
0
2
0
16
0
0
0
25
8
0
0
0
0
26
0
0
0
21
4
8
0
0
10
16
16
16
4
0
19
0
0
8
4
4
10
0
0
0
0
0
4
4
20
8
0
1
8
8
0
0
0
0
0
0
0
0
16
8
0
0
4
0
0
0
0
0
16
0
16
0
8
0
4
4
4
0
0
0
16
0
8
16
0
8
0
0
0
8
8
8
0
8
0
0
0
0
8
0
0
0
0
1
8
8
0
0
0
0
0
0
0
8
8
0
12
0
8
4
4
4
0
1
0
0
0
0
0
0
8
0
0
16
16
0
0
0
0
0
0
8
0
2
0
0
0
0
16
0
0
8
0
2
0
2
2
0
0
0
4
0
16
16
0
0
2
2
0
0
0
0
0
8
0
16
8
0
0
2
0
8
8
24
0
0
0
0
0
0
0
0
1
1
0
0
1
1
16
0
0
0
0
16
0
0
0
1
1
2
4
0
0
0
0
0
0
0
0
4
0
0
0
0
8
6
6
6
6
6
8
8
16
16
0
0
24
24
32
0
0
0
25
4
0
0
0
4
0
0
8
8
0
16
16
0
0
0
0
0
0
0
2
0
0
0
24
8
8
8
8
8
8
8
1
0
8
0
0
8
0
0
0
0
16
0
0
0
0
0
0
0
24
0
16
0
0
0
0
0
0
4
0
0
0
8
16
16
8
0
0
0
0
0
8
0
0
8
8
8
16
16
16
16
16
16
16
16
24
24
0
0
0
0
0
0
0
0
0
10
32
20
0
0
0
0
8
24
4
8
0
0
0
8
1
0
0
4
0
0
0
0
8
8
8
8
0
12
12
0
0
4
1
2
2
2
24
24
24
4
0
8
2
16
16
8
16
16
0
0
0
1
1
1
0
0
1
8
16
0
0
0
0
0
0
8
8
0
0
16
16
8
0
0
0
2
0
0
0
20
0
16
16
8
8
8
0
0
0
0
0
0
0
0
0
0
0
24
0
0
0
0
16
8
8
8
0
8
16
24
24
24
24
8
8
8
8
16
8
0
3
7
7
8
0
1
1
1
2
0
0
0
16
16
16
0
0
0
0
16
32
32
32
0
0
16
0
0
0
0
0
4
4
8
8
0
0
0
0
0
0
8
0
0
0
0
16
0
0
0
0
1
0
0
2
8
0
0
0
0
0
0
0
8
18
8
8
8
8
0
0
0
0
0
8
8
8
0
16
16
16
16
0
1
16
0
8
8
4
4
8
8
8
0
20
20
4
4
4
4
6
6
0
0
0
16
0
0
0
0
0
40
0
0
20
20
20
0
16
0
4
0
8
8
8
8
8
4
0
16
4
4
0
0
0
0
0
0
0
12
0
0
8
0
8
8
8
0
0
0
16
0
0
8
8
16
16
16
16
0
0
16
0
4
0
0
0
0
16
0
0
0
0
0
0
24
24
8
8
8
8
0
1
0
1
1
4
4
16
16
16
20
0
0
0
0
0
8
8
16
0
8
12
16
16
2
20
20
16
0
0
0
0
0
0
2
8
8
0
0
16
18
16
0
0
0
0
0
0
16
0
16
16
0
0
0
16
2
2
0
0
0
0
0
4
0
24
24
0
0
0
0
0
0
0
0
4
4
0
0
0
8
18
16
0
8
0
1
1
1
10
0
29
0
0
0
0
0
0
8
0
0
0
0
16
56
56
56
8
0
2
2
16
16
16
16
0
0
0
0
8
8
21
0
0
4
8
0
8
0
0
8
0
0
8
8
8
16
16
16
0
0
0
0
0
0
0
16
16
0
8
8
8
16
16
4
0
0
8
0
8
24
24
0
8
8
0
0
0
16
61
61
8
0
0
16
16
0
0
0
0
0
8
0
0
0
0
0
16
9
9
4
0
8
4
16
16
16
16
2
8
0
8
8
0
0
8
8
0
0
8
8
0
0
0
1
0
0
0
12
12
12
2
16
32
16
16
0
2
0
0
0
0
0
8
8
5
1
1
1
1
16
8
4
4
0
8
8
0
1
0
9
0
2
0
0
0
4
5
0
8
0
8
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
18
18
26
8
16
16
0
0
14
0
0
8
16
8
0
0
8
8
0
0
0
2
0
8
0
0
0
0
24
24
0
0
0
0
0
0
0
16
8
0
0
0
0
22
22
22
0
16
16
0
2
1
16
8
0
0
16
0
16
0
0
0
0
0
0
16
0
0
4
0
0
0
0
0
0
0
4
0
0
0
0
0
0
1
0
16
0
8
8
8
0
0
8
8
0
1
0
4
4
0
0
8
8
0
8
8
20
20
0
0
2
24
24
34
34
0
0
0
16
0
8
32
8
0
8
1
8
0
0
8
0
0
0
0
1
1
58
0
0
0
0
16
1
1
0
0
0
2
2
2
0
36
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
8
0
18
0
0
0
0
2
0
0
0
0
8
3
3
0
0
0
0
1
1
8
0
10
0
0
8
0
8
8
8
8
0
0
0
0
8
0
8
0
0
0
16
0
0
32
8
0
1
0
0
0
4
0
0
0
2
8
8
8
0
0
0
10
0
0
0
2
26
8
8
0
0
0
16
16
16
16
16
16
16
16
4
0
12
3
0
0
0
0
16
16
16
0
0
0
0
2
0
0
4
8
24
8
0
0
0
0
0
8
8
0
0
0
0
0
0
0
16
24
0
8
0
0
0
0
0
0
8
8
8
0
15
0
0
4
4
16
8
8
16
8
0
0
0
0
0
4
0
0
8
8
0
8
0
0
0
0
32
32
0
0
0
0
0
0
2
0
0
0
8
8
0
8
0
0
0
0
0
0
8
4
8
8
0
8
0
16
0
0
32
0
0
8
1
0
0
0
0
0
16
0
0
16
0
0
8
0
0
0
0
24
0
0
8
0
0
0
0
1
0
0
0
0
0
0
0
12
0
2
2
0
0
8
8
8
0
1
0
0
8
8
7
7
0
8
0
8
8
8
8
8
0
4
0
8
0
24
8
8
8
0
16
16
16
0
16
16
16
4
0
0
8
8
0
16
16
0
4
0
0
0
0
4
16
8
16
16
16
17
10
0
0
0
0
0
0
0
0
0
8
0
0
2
0
2
0
0
0
0
8
1
0
0
2
0
16
16
0
25
32
24
0
0
8
0
0
0
0
0
8
0
0
0
0
16
16
0
0
8
8
6
8
0
1
0
0
0
0
20
0
20
20
8
16
0
0
8
0
0
1
1
1
1
1
2
0
0
0
8
0
0
16
0
0
8
0
16
8
0
8
4
8
32
0
0
0
0
16
16
16
16
1
16
16
8
8
0
0
0
0
2
2
8
0
0
0
0
0
8
0
0
8
1
0
0
0
0
8
8
0
0
0
0
8
0
0
0
0
16
16
0
0
0
0
0
18
18
0
4
0
0
0
0
8
0
0
8
40
0
0
0
0
16
0
8
1
8
8
0
0
16
32
0
0
0
16
24
0
0
0
0
0
20
4
0
0
4
0
0
0
0
0
0
0
0
0
0
8
16
0
0
0
0
0
0
8
0
0
0
0
8
0
0
0
0
1
0
0
0
8
0
2
0
0
24
0
16
16
0
0
0
0
0
4
0
0
16
0
0
0
0
0
0
0
0
0
0
16
16
16
0
8
0
16
0
0
0
0
16
4
4
4
4
4
0
0
0
8
1
16
16
8
0
0
0
0
4
0
0
0
0
0
0
0
0
16
16
0
0
0
8
0
0
0
0
8
0
0
0
0
0
0
0
2
0
0
0
0
0
0
4
4
0
0
0
0
0
16
0
0
0
0
0
24
16
0
0
16
16
2
0
0
0
0
0
0
0
0
1
0
0
0
0
0
8
8
16
0
0
24
8
8
0
4
0
8
8
4
8
8
8
0
0
0
8
0
0
0
2
2
0
0
0
0
0
8
8
0
0
8
0
0
8
8
0
2
13
0
1
4
0
0
0
0
2
2
4
0
16
0
0
0
0
20
20
0
16
16
0
0
0
0
0
0
0
0
0
16
0
2
2
0
8
0
0
17
17
0
0
0
4
0
1
16
0
0
12
12
0
8
0
26
0
0
0
0
0
8
0
16
16
0
16
8
8
0
0
2
16
2
0
0
8
4
4
4
0
0
16
4
4
4
0
32
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
8
0
0
0
0
0
4
0
8
0
0
4
4
0
0
0
0
0
0
0
0
0
0
8
0
0
16
0
16
0
0
16
8
0
16
0
0
8
8
8
8
8
8
16
16
0
0
0
0
0
0
0
0
8
0
2
2
0
0
8
20
0
0
0
0
0
8
8
8
0
0
16
8
0
0
0
0
18
8
8
8
8
2
16
16
1
0
0
0
0
0
4
16
0
0
0
0
0
8
0
4
4
0
8
0
0
0
0
0
0
0
0
8
8
8
8
4
4
0
0
0
0
0
0
18
0
4
16
8
8
16
2
8
8
8
0
16
0
8
16
0
0
5
5
0
16
0
8
8
8
0
16
8
0
8
8
8
8
8
0
8
8
0
0
0
8
0
0
0
0
8
0
16
40
40
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
1
1
0
4
0
2
8
25
8
0
2
0
8
0
0
0
0
0
4
0
0
13
8
8
0
0
0
0
0
2
2
0
0
1
1
8
0
0
16
0
0
0
0
0
0
24
8
8
0
0
24
24
4
0
8
0
0
0
8
0
0
0
0
0
0
0
0
0
0
16
0
8
8
0
8
8
0
32
0
0
41
0
16
0
0
16
0
0
2
8
4
0
0
0
0
8
0
8
2
17
0
4
0
2
2
2
0
0
0
8
0
0
33
0
0
0
8
8
0
0
0
0
0
0
8
0
0
0
0
4
4
4
4
0
0
0
4
8
48
0
0
0
0
0
4
0
0
0
0
2
2
0
0
14
0
8
0
0
0
0
0
24
24
24
0
0
0
12
0
0
18
18
0
0
0
0
0
1
0
0
8
8
20
20
0
0
16
16
0
0
16
0
1
8
0
0
16
0
0
11
8
8
0
16
0
0
0
4
4
0
16
16
0
0
0
0
8
8
0
0
0
0
8
0
0
0
16
0
0
0
0
0
17
18
18
8
8
16
0
0
0
0
18
0
0
0
0
16
16
8
4
0
1
4
4
16
16
0
18
4
0
0
0
6
2
2
0
0
2
2
0
8
0
0
10
0
0
0
0
0
0
0
0
0
20
8
0
1
0
8
4
16
0
24
16
16
16
16
0
0
2
0
0
0
16
16
0
0
6
9
8
1
1
16
16
0
17
17
8
8
16
0
16
16
0
8
8
8
0
32
0
8
0
0
0
0
0
0
0
0
0
0
0
1
0
0
8
2
2
1
0
0
0
28
16
0
0
0
8
8
0
0
8
2
24
9
52
0
0
0
16
34
8
8
2
0
0
0
0
8
2
0
0
4
0
0
4
4
0
0
17
0
0
0
0
0
16
0
0
1
2
8
0
0
0
0
8
0
16
0
0
0
8
0
16
8
0
0
0
24
3
32
8
8
0
0
2
2
16
16
0
0
0
0
0
18
0
0
17
0
0
16
16
16
36
8
16
16
0
0
8
0
0
0
12
8
36
0
8
8
0
0
0
8
8
8
8
8
8
0
24
16
0
4
4
16
16
0
0
0
0
0
0
4
9
0
0
0
0
0
0
0
8
0
0
0
8
8
0
16
0
0
8
16
0
16
0
0
0
0
32
8
8
0
0
8
8
8
0
0
36
0
0
0
8
8
0
0
16
16
17
0
0
0
0
0
8
8
0
0
0
0
0
2
0
32
32
8
8
8
1
0
24
24
2
0
0
0
0
0
0
0
0
0
16
12
0
0
0
8
16
8
4
0
0
4
8
8
4
0
0
0
16
0
0
0
0
1
8
0
0
8
8
8
24
8
8
16
0
0
32
8
8
0
0
0
16
8
1
1
1
0
0
0
0
0
0
0
0
0
16
0
0
20
20
0
0
0
0
0
0
0
2
8
0
8
8
8
8
8
0
0
16
16
2
0
0
0
0
2
4
2
0
0
0
8
16
8
8
0
16
16
16
16
16
0
0
1
6
8
0
0
0
24
16
2
2
8
8
8
1
16
8
8
0
8
0
8
0
0
0
0
0
16
16
0
4
0
2
20
20
20
9
9
0
0
6
6
6
0
0
8
8
0
1
16
16
8
8
8
8
18
18
4
8
8
8
0
6
2
0
1
17
8
1
0
0
0
0
0
0
0
8
1
4
8
8
0
16
16
16
0
0
4
4
0
2
4
2
2
16
0
0
0
0
1
4
2
0
24
1
0
16
8
8
8
24
0
0
16
8
8
20
8
0
0
0
0
0
0
8
8
0
0
0
1
8
8
0
0
0
16
16
0
0
0
4
0
16
0
0
0
0
0
2
0
0
8
8
8
8
0
0
8
8
8
0
12
8
8
1
1
24
0
0
0
0
0
0
16
16
0
4
0
0
0
0
0
8
8
8
0
0
0
8
0
8
0
0
0
0
0
0
0
8
8
16
0
0
8
0
8
8
0
34
0
0
0
8
32
4
4
8
8
8
8
0
16
0
0
0
0
0
0
16
0
0
0
0
8
16
1
1
1
8
8
2
4
0
16
32
0
0
1
0
16
0
0
0
8
8
16
16
16
2
2
8
0
0
0
0
0
0
0
0
0
0
24
8
0
0
0
24
0
8
8
8
8
22
0
9
0
0
8
0
8
1
16
16
8
8
0
0
0
0
0
4
0
0
8
0
0
0
0
24
8
9
8
0
0
0
16
4
0
0
0
0
0
0
0
0
0
0
0
9
8
0
0
0
1
32
8
1
8
0
0
4
4
4
4
4
4
8
0
0
8
0
16
4
28
24
24
0
8
0
0
0
8
8
0
0
0
0
0
0
8
8
25
25
0
4
8
21
1
0
1
2
0
0
9
8
4
4
1
1
1
20
20
1
0
0
2
36
1
0
0
0
0
0
0
4
0
0
4
4
1
0
0
0
0
8
24
24
20
0
16
0
1
0
0
0
8
0
4
8
8
2
2
0
8
8
8
8
8
8
16
16
2
0
0
0
0
17
17
16
1
4
4
0
26
18
18
8
0
0
0
22
0
0
16
16
0
4
17
0
24
1
1
0
0
0
0
0
0
8
32
9
4
0
0
0
4
4
0
0
0
0
0
2
0
0
8
16
0
0
0
8
0
0
0
0
0
16
16
16
16
0
8
8
4
0
0
0
0
8
0
0
0
16
16
0
0
0
0
0
0
16
0
32
0
16
4
12
0
10
24
24
24
9
9
0
8
8
4
4
0
0
0
0
0
0
0
8
0
0
0
0
0
32
32
0
0
0
0
8
0
0
16
8
8
8
0
16
0
1
16
32
4
2
2
16
16
8
0
24
0
0
0
0
0
0
0
0
0
0
1
0
8
0
0
0
0
0
9
24
8
8
0
0
1
0
0
0
0
0
0
0
0
0
8
8
0
1
16
1
24
0
8
0
9
0
0
0
0
8
8
0
0
0
16
8
8
8
20
20
24
0
8
0
0
8
0
0
4
4
0
0
25
0
0
0
0
0
16
12
1
0
1
1
8
0
1
1
17
0
0
8
8
0
0
16
0
8
0
8
0
0
5
0
16
1
0
8
8
0
0
8
8
0
4
16
4
4
1
1
1
8
0
8
8
16
1
0
0
0
0
22
32
32
0
0
16
0
0
0
0
8
4
8
0
16
16
16
16
0
0
0
0
8
0
8
16
16
8
16
4
4
0
0
10
0
0
16
16
16
16
0
8
8
0
0
0
0
16
0
26
26
24
8
0
0
24
16
0
0
0
4
8
0
0
0
20
0
0
21
21
24
0
8
5
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
12
12
8
12
12
8
8
8
2
0
16
1
0
0
8
0
8
8
8
8
8
8
8
0
2
8
0
4
4
4
1
12
0
0
0
0
8
8
8
8
8
8
16
24
0
0
0
6
0
0
0
0
4
4
0
0
0
0
0
0
0
16
0
0
16
16
4
8
0
0
16
8
0
0
49
0
0
0
2
8
16
16
0
46
0
0
8
0
18
8
0
8
0
0
17
0
0
0
0
0
2
16
0
0
0
0
0
0
0
0
0
1
22
8
2
2
16
16
8
0
32
16
28
12
12
0
0
0
0
17
1
1
32
32
16
4
0
0
0
0
0
0
0
0
0
0
0
33
1
1
1
0
8
0
0
16
8
24
0
0
0
8
8
0
0
20
8
0
0
16
0
0
0
0
0
0
0
0
8
8
8
0
0
16
8
0
0
1
33
8
0
8
0
0
0
16
0
0
0
16
16
4
0
9
9
20
18
18
32
0
0
8
8
0
8
0
4
1
0
0
0
0
0
5
0
0
4
0
0
10
8
8
8
0
16
8
2
2
0
0
0
0
0
0
8
0
0
0
16
0
0
32
0
0
3
3
4
8
16
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
8
1
1
0
0
16
0
16
16
0
26
26
0
16
24
24
0
0
0
0
0
0
1
8
8
0
8
8
0
8
8
16
8
0
0
8
8
16
0
0
0
0
0
4
4
0
0
0
0
2
8
0
0
16
16
0
0
8
0
0
0
8
0
0
8
2
0
8
0
0
34
0
1
0
17
17
0
0
8
16
4
16
16
16
0
0
16
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
17
8
8
16
16
8
0
0
0
8
8
0
4
32
16
0
0
0
8
8
8
0
0
0
0
1
1
0
0
0
0
2
0
0
1
19
24
4
0
16
0
0
18
0
0
8
8
0
2
4
0
0
1
9
10
1
16
16
0
0
0
0
0
0
0
0
0
0
0
0
8
6
32
0
8
0
0
0
0
0
0
4
2
0
0
0
4
4
4
0
0
0
0
16
16
0
0
0
0
1
8
16
0
0
2
2
8
4
0
25
25
4
4
4
0
8
8
8
0
8
8
16
8
0
0
0
0
8
8
8
16
0
2
2
0
16
16
30
14
0
23
0
0
0
0
0
0
0
0
0
2
0
9
9
9
8
8
1
8
8
28
28
28
18
0
16
8
40
40
32
0
16
16
22
20
20
0
8
0
8
40
8
0
16
0
0
0
16
16
16
8
16
0
0
26
1
2
0
0
0
0
0
0
0
11
11
11
0
0
8
16
8
8
16
9
9
4
8
0
8
4
8
0
8
1
0
8
12
0
0
0
0
0
0
8
8
8
0
0
4
0
0
0
24
24
0
0
8
0
0
8
8
8
2
0
24
0
0
0
0
0
4
8
8
8
8
16
16
0
16
16
2
0
0
2
12
0
0
0
0
0
8
16
16
16
16
16
16
16
0
0
16
16
1
17
17
8
8
8
0
0
1
1
0
0
0
0
0
0
0
4
4
8
16
0
0
0
0
0
0
0
0
8
47
8
0
0
0
0
1
4
16
16
16
4
0
0
0
0
0
0
0
4
0
8
8
2
8
16
1
1
1
1
4
0
0
6
8
32
16
0
16
4
4
1
1
8
8
8
4
16
0
0
16
0
12
12
0
0
16
0
0
1
0
0
0
1
0
1
0
0
0
0
0
4
4
16
16
8
16
16
1
4
8
8
0
0
4
0
8
0
0
8
16
16
24
24
24
0
0
8
0
0
0
0
0
16
16
1
1
1
0
0
0
24
24
26
26
8
18
18
28
0
0
0
0
0
3
8
19
19
1
0
12
0
0
0
0
0
0
4
2
2
0
0
0
16
16
4
4
0
30
0
0
5
0
0
10
10
10
4
4
0
9
24
0
0
0
32
16
0
4
0
0
8
0
8
2
2
2
8
8
16
8
0
8
0
17
0
8
0
16
16
0
0
0
16
16
16
0
0
0
0
0
0
0
0
0
8
8
0
49
2
8
8
8
8
8
0
0
0
14
0
24
8
8
0
0
0
8
0
0
0
18
18
8
24
24
0
0
12
12
0
0
0
0
0
0
16
0
0
2
0
0
8
0
0
0
1
0
3
48
16
0
4
4
0
0
0
16
0
0
0
0
5
5
0
0
8
4
24
8
16
16
0
0
0
32
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
16
16
20
0
0
0
0
0
2
0
0
0
16
16
16
16
0
0
0
0
16
0
1
1
1
1
0
0
0
0
0
8
8
0
2
16
0
0
0
0
0
16
16
16
16
16
16
0
4
16
16
16
16
8
0
8
0
0
0
0
4
8
16
0
0
0
0
0
0
0
0
0
24
16
0
0
0
0
0
0
8
1
1
1
1
1
0
8
0
0
0
16
8
0
0
8
8
0
0
0
17
17
8
0
0
8
8
8
8
8
0
0
0
8
8
0
8
8
0
0
0
0
0
4
4
4
4
4
8
8
16
8
16
16
16
16
21
4
16
0
0
0
0
0
0
16
24
0
0
16
4
4
4
0
0
16
0
0
8
8
8
8
8
2
16
0
0
0
12
0
16
16
16
16
16
16
0
0
0
0
0
0
0
0
16
16
0
16
8
16
16
8
8
8
4
4
0
0
0
0
0
4
4
0
0
8
8
0
0
8
0
4
16
16
1
4
4
4
4
4
4
0
8
8
8
0
16
0
0
0
4
4
4
4
4
4
0
0
23
23
0
20
20
0
0
0
0
0
0
0
0
0
29
0
0
0
0
0
1
8
0
0
4
28
8
0
1
1
1
0
8
6
0
8
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
16
16
0
1
8
16
16
8
14
0
0
0
4
0
16
16
16
0
0
0
0
0
0
16
0
0
8
0
0
2
2
0
0
0
0
0
4
0
0
0
0
8
0
0
8
0
16
16
0
0
8
16
0
0
0
4
4
8
8
0
1
16
16
0
0
0
0
0
0
3
16
16
1
0
16
0
0
16
0
0
0
0
0
0
0
0
0
0
8
0
2
1
8
8
8
8
0
8
0
0
18
18
0
16
0
0
0
0
0
0
0
0
0
0
0
16
0
8
0
0
0
0
0
0
0
0
0
1
32
8
8
1
8
12
12
0
16
0
17
42
0
0
0
36
36
0
0
16
0
0
2
2
0
26
0
8
8
8
0
0
8
0
0
8
0
8
0
0
8
8
0
0
9
8
24
24
0
8
0
0
8
0
0
0
8
16
16
16
0
8
8
0
8
8
9
9
0
8
24
8
1
16
16
16
4
0
8
8
16
16
8
8
0
0
16
16
0
0
1
0
8
8
0
16
16
16
16
8
0
0
9
2
0
0
0
0
8
8
8
0
8
0
0
0
0
32
32
32
0
8
34
1
6
6
4
4
4
16
4
4
4
1
1
1
1
1
8
0
0
8
8
0
0
40
40
8
8
16
8
16
8
8
8
16
8
4
4
8
4
8
0
0
0
0
0
0
0
0
0
8
0
0
8
0
8
0
9
9
0
8
0
0
0
0
0
0
0
0
0
12
8
33
0
0
0
0
16
16
0
0
0
0
16
0
0
8
8
4
4
0
8
0
0
0
16
16
16
16
16
2
12
0
0
0
8
8
0
0
0
16
0
0
8
8
8
8
8
8
0
4
8
8
8
8
0
2
2
4
1
24
0
33
33
33
6
0
4
0
4
4
16
16
16
2
2
2
2
0
0
1
1
2
2
2
32
32
32
32
0
2
0
2
16
8
8
18
0
0
0
0
0
4
16
16
16
16
8
8
8
20
20
16
16
0
16
16
20
20
0
8
8
0
0
0
8
8
24
4
0
0
0
8
24
0
4
8
8
0
0
4
1
24
24
0
0
0
2
2
2
2
2
2
2
2
2
8
4
0
0
8
0
4
4
0
0
16
8
8
48
48
48
0
17
17
16
0
48
0
0
0
32
0
0
8
8
0
2
8
16
0
1
2
0
0
0
45
28
28
4
4
4
4
0
1
1
1
1
32
32
0
34
34
34
34
16
0
0
0
8
1
0
8
8
0
0
6
0
0
0
0
9
9
8
0
8
8
8
8
0
0
16
16
8
8
25
25
0
0
0
10
4
0
8
8
16
4
4
0
0
0
48
8
0
8
8
4
0
24
24
0
16
8
16
0
8
8
16
16
16
16
16
0
6
0
8
8
0
0
6
6
4
0
16
16
0
0
8
16
16
16
9
9
9
9
0
0
0
8
8
16
16
0
0
8
8
8
1
8
1
0
0
0
0
0
16
16
1
17
20
8
0
0
0
8
8
10
4
0
0
0
0
0
8
0
0
0
0
0
8
8
16
8
8
16
16
16
16
0
0
0
1
9
9
8
16
2
0
18
16
10
8
24
0
16
2
8
16
4
4
8
8
8
8
8
8
16
16
0
16
0
0
0
0
2
8
8
8
0
0
20
0
0
0
0
26
9
48
48
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
9
0
0
0
0
8
0
16
16
0
16
16
8
4
4
0
0
0
8
8
4
16
0
0
0
0
0
0
0
0
8
8
0
0
8
0
0
8
4
4
1
1
0
0
0
0
16
16
16
12
12
8
8
0
8
0
8
8
16
16
16
0
8
24
24
0
16
16
0
16
34
34
0
0
0
0
0
0
0
0
0
0
0
48
48
48
48
48
8
0
1
0
8
8
8
8
0
0
0
0
0
16
0
16
16
16
16
16
16
16
16
16
8
8
8
2
2
0
0
0
0
16
0
0
1
1
1
1
1
0
8
8
8
8
0
16
16
1
4
4
0
0
0
0
0
0
8
8
0
2
2
2
2
4
4
32
0
0
16
0
0
16
0
0
0
0
0
0
0
16
20
20
0
0
0
16
16
16
16
16
16
16
1
0
0
1
0
20
8
8
8
2
2
4
0
0
49
0
0
0
0
0
17
0
0
16
0
0
8
4
4
4
0
0
8
8
2
4
16
16
20
20
32
16
16
16
16
0
0
32
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
8
8
0
0
8
8
8
8
8
16
16
0
0
0
0
0
0
0
8
2
2
0
0
0
8
8
8
0
9
9
1
1
0
8
8
0
1
16
8
8
0
8
8
16
16
4
0
16
16
0
8
2
32
0
0
0
0
0
0
0
0
0
0
0
0
8
4
0
0
0
16
16
0
16
0
20
20
0
0
0
0
8
8
16
0
0
12
12
2
0
16
16
0
8
2
0
0
0
16
16
8
16
0
0
25
1
0
16
16
16
16
16
8
1
1
8
0
0
16
0
16
16
33
1
1
8
0
8
8
0
0
0
0
0
17
17
16
8
0
0
0
2
16
8
16
2
2
0
0
0
0
0
0
8
32
32
32
32
28
7
7
0
8
1
16
32
16
32
32
16
0
0
10
10
10
16
16
16
16
14
1
8
8
32
0
0
0
0
0
0
8
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
16
0
0
16
4
2
0
0
0
0
2
1
0
0
0
0
0
0
0
8
8
0
0
6
0
1
24
8
4
0
17
16
16
16
0
0
0
8
16
0
0
2
0
32
16
16
16
0
1
16
16
24
16
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
7
7
8
0
2
0
8
1
1
16
16
16
16
24
4
8
0
8
8
8
8
8
0
4
8
8
8
8
8
16
4
0
0
40
40
40
1
0
0
0
4
4
0
16
16
16
4
4
8
8
32
8
16
8
12
8
8
1
0
4
18
2
8
0
0
8
8
4
24
24
8
1
0
0
0
18
18
8
8
8
8
8
24
4
8
8
0
16
16
0
0
8
16
16
16
0
0
0
0
0
24
16
0
8
0
4
4
4
4
1
1
0
0
16
16
0
0
0
1
4
16
16
0
0
8
16
8
0
16
16
0
0
0
2
3
16
16
16
10
2
16
16
0
16
16
16
16
16
8
28
28
28
0
0
0
4
4
8
8
32
32
16
0
24
24
0
0
8
0
0
0
20
20
20
17
17
8
8
0
0
0
26
0
33
0
16
0
0
8
16
0
3
16
2
1
25
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
1
8
8
8
8
16
16
16
16
24
24
20
20
0
0
0
14
0
2
0
16
18
0
4
8
0
0
0
4
0
0
0
0
0
0
4
16
2
0
32
17
16
16
16
16
1
1
16
7
0
1
0
0
8
0
0
0
8
1
0
8
0
0
0
0
0
0
8
8
8
8
8
8
2
2
2
0
2
0
0
0
4
20
0
0
0
43
8
16
16
8
0
0
0
0
1
3
3
2
2
0
0
0
0
10
2
2
2
0
40
0
2
8
0
4
4
16
4
1
1
8
0
0
0
0
0
0
8
0
32
32
24
0
9
9
9
8
27
27
27
0
16
16
0
0
0
8
16
0
0
2
2
8
56
56
56
16
4
0
0
0
0
8
8
2
24
24
24
0
0
0
0
0
0
0
0
0
0
8
8
8
8
0
0
16
16
1
8
0
0
0
8
8
8
8
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
1
1
1
8
8
8
8
8
8
0
0
8
16
16
16
16
8
0
0
0
0
1
32
32
16
16
16
0
0
8
16
16
16
0
0
4
4
4
0
16
16
16
2
8
1
0
0
0
0
0
8
8
0
16
1
0
13
13
4
4
0
0
24
8
0
2
3
0
9
9
0
0
0
0
0
0
0
0
1
8
0
0
2
8
1
16
16
16
8
8
0
0
0
8
24
1
1
4
4
16
5
16
0
16
16
8
8
24
16
16
0
12
12
12
16
0
4
3
0
0
8
8
16
0
0
0
0
0
0
0
8
16
0
34
8
8
4
4
8
1
8
8
0
0
0
8
0
0
16
0
8
0
0
16
0
24
1
1
1
1
16
0
2
8
8
22
22
22
32
8
8
8
8
8
8
0
0
4
0
16
16
16
0
17
8
8
8
8
8
8
4
4
4
4
4
4
8
8
8
0
8
32
8
8
8
0
24
24
0
16
16
0
10
16
0
32
32
24
24
24
8
8
8
8
8
16
27
27
0
0
0
18
8
8
0
0
8
0
0
0
10
10
10
16
1
0
0
0
8
0
0
0
16
16
16
0
0
8
10
0
0
0
8
8
8
8
0
4
4
24
8
8
0
0
8
8
8
8
8
0
0
0
0
0
0
0
4
4
4
32
0
19
0
4
8
8
16
0
0
16
16
4
8
8
8
16
16
16
0
16
24
0
4
16
4
16
16
8
8
8
3
0
16
16
16
16
16
16
16
1
8
0
0
0
0
0
0
0
0
0
8
8
32
32
32
0
0
0
0
0
0
8
16
16
8
1
4
2
2
0
24
0
8
8
0
0
0
0
16
16
38
0
8
8
1
1
8
8
0
0
16
0
1
1
0
0
0
8
0
4
4
25
25
0
0
1
0
0
0
9
9
0
16
8
16
16
20
20
20
20
20
24
1
0
8
20
16
0
2
2
8
33
4
0
16
0
16
16
16
8
0
6
6
6
6
6
6
6
4
0
24
0
0
16
0
0
8
4
8
0
0
0
8
8
8
1
16
16
4
4
16
8
8
0
0
17
17
17
17
17
0
8
16
16
4
16
16
8
1
1
0
0
4
0
8
6
8
8
16
8
8
8
16
8
0
0
0
0
0
0
19
16
1
0
0
0
8
1
1
24
0
0
16
16
16
16
0
0
0
0
0
0
16
0
0
8
0
0
0
4
8
8
8
4
0
32
32
0
0
0
0
0
0
0
4
4
4
1
2
2
1
0
1
2
2
8
0
16
16
16
16
16
8
8
8
2
2
0
0
1
1
1
0
0
4
0
16
16
0
16
16
1
0
0
0
8
0
0
0
0
0
0
0
0
0
8
16
16
16
16
0
0
0
8
24
24
0
16
8
0
0
0
0
8
56
0
28
28
0
0
8
8
8
8
8
8
8
0
0
8
0
0
0
0
1
20
8
8
8
8
8
32
0
0
8
2
8
8
0
1
8
16
1
1
1
16
0
0
16
24
0
0
8
8
0
0
2
8
0
8
8
0
16
16
24
32
0
1
8
12
0
8
8
16
16
16
16
0
8
24
24
27
0
0
0
2
2
0
32
8
8
8
8
0
16
8
8
4
4
0
0
16
12
12
16
24
0
8
16
1
0
8
8
0
0
0
8
0
2
2
24
8
8
11
11
0
44
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
16
24
16
17
17
17
32
0
16
45
1
1
17
16
8
8
8
24
24
24
24
8
8
6
0
17
0
3
8
0
0
0
2
0
8
0
0
0
0
4
24
0
0
9
0
0
8
0
32
16
16
16
16
16
16
16
0
0
0
0
16
0
0
0
0
1
1
16
16
0
8
8
8
8
8
4
0
16
0
8
16
8
0
0
0
4
0
0
16
2
2
4
4
24
0
8
12
0
0
0
32
8
16
16
0
0
0
1
8
1
16
16
40
33
35
0
0
0
0
0
0
0
0
0
8
16
16
16
0
8
1
4
4
0
8
8
0
1
1
8
0
8
0
16
16
0
0
0
0
8
0
0
8
2
0
0
0
0
4
8
16
8
8
9
25
0
4
4
16
0
0
4
1
1
32
32
8
18
18
8
8
8
8
16
16
16
0
0
1
4
4
32
32
8
8
10
1
8
8
12
12
12
12
16
0
0
8
10
10
4
0
0
9
1
0
1
1
1
1
1
8
9
9
16
16
0
8
1
1
2
8
0
0
0
8
5
0
0
32
0
4
26
0
0
5
24
0
0
0
0
8
4
4
8
24
0
0
8
8
0
0
0
0
2
0
16
16
2
16
0
36
8
0
8
8
8
0
0
0
4
4
4
0
0
0
0
0
16
16
0
2
2
8
8
0
0
0
0
0
0
0
8
0
0
0
0
0
24
24
0
0
0
0
16
16
8
8
24
24
24
24
0
0
0
0
2
2
2
0
6
0
16
16
0
22
8
24
16
32
0
0
24
16
0
0
1
8
8
8
0
0
0
0
0
0
0
17
0
0
8
0
0
6
0
13
9
0
0
0
0
16
16
16
0
26
0
8
8
17
0
8
20
20
24
9
9
9
9
4
0
4
4
16
16
0
0
0
0
0
33
33
33
33
0
0
8
16
0
0
16
16
2
0
8
24
0
0
24
24
0
16
5
0
0
2
16
16
40
2
0
16
16
16
4
4
4
4
0
0
0
0
0
8
0
8
8
1
0
8
8
0
0
0
27
1
0
0
48
0
0
0
0
0
0
0
0
0
48
8
41
41
24
8
1
1
2
0
0
0
0
4
18
2
16
16
32
0
0
0
8
0
16
16
0
16
16
16
0
13
0
0
16
16
8
8
16
16
4
4
0
0
0
8
0
0
0
4
4
0
4
4
0
0
0
4
16
16
16
0
16
16
8
8
0
8
0
16
8
0
0
16
9
9
9
8
16
4
32
32
0
0
0
16
8
8
8
0
0
4
24
2
0
1
1
0
0
8
0
8
0
8
0
0
0
0
1
4
4
4
4
0
2
8
16
16
16
32
32
32
20
0
16
1
1
1
2
1
1
8
8
16
16
16
16
4
4
0
0
0
0
20
0
0
1
1
32
32
32
1
1
1
1
16
8
8
2
16
16
16
24
8
16
8
0
8
0
0
36
36
32
32
4
4
1
0
2
16
16
16
8
8
4
22
22
22
0
20
8
8
0
0
8
8
1
1
0
0
0
0
16
16
40
40
40
40
40
0
16
16
16
16
1
0
0
25
17
8
8
8
8
33
33
8
1
0
0
8
8
8
0
0
0
0
24
8
8
8
0
0
0
52
3
0
0
0
0
0
16
8
16
16
0
4
4
0
0
4
4
0
4
16
16
16
16
32
32
0
16
0
8
0
4
4
16
0
0
24
24
16
16
16
18
0
0
16
24
4
8
0
0
0
0
0
12
12
24
0
0
0
8
0
0
0
8
8
8
8
2
2
0
4
4
24
8
8
0
0
5
5
8
0
8
0
0
0
0
16
4
4
0
0
0
4
0
16
16
0
0
0
0
24
16
16
32
0
0
0
0
24
0
0
0
0
1
0
16
16
8
8
32
32
0
0
8
8
8
2
2
2
3
3
1
0
8
8
0
0
0
0
0
0
8
0
0
0
0
3
0
0
0
0
0
8
2
8
0
8
32
0
4
4
4
0
2
0
8
0
1
1
1
1
1
0
0
0
0
0
0
4
4
1
0
0
0
0
4
16
16
0
0
16
16
16
0
8
32
32
8
8
16
16
16
0
24
0
0
17
1
8
8
0
0
0
0
16
6
6
16
16
24
0
8
8
0
8
0
8
1
0
0
0
17
48
32
16
4
16
16
16
16
16
16
0
0
8
8
20
0
16
8
8
8
0
0
0
8
8
16
0
0
0
16
0
16
8
8
16
16
8
0
0
2
8
1
8
8
8
0
0
0
7
16
0
8
0
0
0
8
17
1
0
0
2
2
2
32
8
8
8
8
0
0
17
8
0
0
0
0
0
0
0
1
16
0
8
8
8
8
0
0
0
0
0
0
9
9
9
4
0
0
24
24
8
8
8
8
8
8
8
0
0
0
0
0
57
2
1
8
4
4
0
8
0
0
0
10
8
8
4
11
11
16
8
0
0
0
0
0
2
8
8
8
6
0
16
0
8
0
0
0
0
0
0
0
0
0
0
0
4
8
0
16
16
16
16
16
8
0
8
8
8
8
16
0
12
8
8
8
0
0
0
0
0
8
0
16
16
16
0
8
8
8
8
8
8
8
0
8
17
2
2
1
4
4
0
0
4
0
10
10
20
8
0
0
8
8
0
6
0
0
16
0
4
5
0
0
0
8
8
9
0
2
0
8
8
48
0
0
0
0
16
4
16
8
8
0
0
0
48
48
32
0
0
8
8
18
16
0
0
1
8
8
4
2
8
8
8
8
0
0
0
4
4
0
0
0
8
0
0
16
4
0
0
16
8
16
16
16
24
0
2
0
0
0
0
32
0
0
0
0
0
24
24
0
0
0
0
16
24
1
16
0
0
0
1
4
0
28
28
8
8
8
1
8
4
0
0
16
16
16
0
1
8
8
8
4
1
0
0
0
0
0
8
8
8
8
8
8
8
0
0
0
0
16
16
16
0
8
0
20
20
20
0
0
34
28
20
16
16
0
4
4
0
0
0
24
0
0
0
2
2
1
8
16
0
0
0
0
0
8
0
16
49
16
16
16
16
16
16
16
16
28
0
0
3
16
0
16
16
16
16
16
8
0
6
6
6
6
0
0
0
0
0
0
8
4
8
8
8
8
16
0
1
8
8
0
9
8
8
8
8
4
0
0
1
1
4
8
2
12
16
4
4
4
0
0
17
0
8
16
12
0
0
0
0
20
8
1
1
0
8
56
17
16
16
16
2
0
8
8
8
8
8
8
8
8
16
0
0
0
0
0
0
0
2
2
8
0
0
1
1
1
1
0
17
0
8
16
16
16
16
1
8
8
8
8
0
0
16
32
16
16
3
3
0
0
16
16
0
0
8
16
16
0
8
8
8
41
8
8
8
8
16
0
16
16
8
8
8
8
1
1
2
0
0
0
0
16
1
1
1
1
1
1
4
0
0
0
0
0
0
8
0
8
16
0
0
0
0
8
0
2
0
0
0
0
4
4
4
0
8
32
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
8
16
8
8
0
0
0
0
0
0
0
0
0
8
24
20
0
0
0
0
8
8
16
16
16
16
8
4
4
4
16
4
4
4
4
4
8
0
0
0
0
16
16
16
4
4
8
8
8
0
9
2
0
16
8
16
0
16
1
26
8
8
8
0
0
0
8
8
8
8
2
8
8
8
0
0
32
0
0
0
0
24
32
2
3
0
0
0
4
4
4
8
0
0
8
8
8
8
0
8
8
0
2
0
0
0
0
0
0
0
8
8
8
8
8
8
0
0
0
16
16
16
18
8
8
4
24
32
0
0
16
34
34
0
0
0
4
4
8
4
4
0
0
0
16
16
18
18
8
4
8
8
8
0
2
2
2
0
0
16
0
0
1
0
0
8
8
8
8
8
0
16
16
0
4
0
0
8
16
32
32
0
28
0
16
16
8
8
16
24
24
24
24
24
0
0
8
16
0
1
16
32
2
0
8
8
8
16
16
0
16
0
0
16
0
8
0
2
1
0
0
0
8
8
8
8
8
0
0
8
26
0
0
0
0
16
16
16
16
16
16
16
0
0
2
0
16
16
16
0
0
0
0
10
0
12
2
2
2
26
26
0
2
2
2
4
5
5
16
16
8
8
8
8
9
0
0
0
0
0
0
0
1
0
0
0
9
4
8
8
8
16
18
0
8
8
2
2
32
32
8
8
8
1
16
0
0
0
0
0
0
1
16
0
0
4
0
1
2
1
1
8
4
4
4
4
16
8
2
0
8
8
1
1
4
4
4
0
0
16
16
16
16
4
0
0
0
0
0
1
16
0
0
2
2
1
1
8
8
8
8
4
4
8
8
0
0
0
16
8
8
8
4
4
4
8
16
16
1
1
24
2
0
0
4
0
0
32
32
23
2
16
8
8
8
16
12
0
16
16
16
0
0
0
0
1
1
1
8
5
0
0
0
0
1
4
2
0
0
0
0
8
0
32
32
16
16
10
8
0
24
8
8
8
0
10
8
1
1
20
0
16
0
24
1
0
0
8
8
4
5
0
16
0
16
16
16
16
16
16
4
0
8
8
0
18
18
18
18
0
8
16
16
8
8
16
8
0
0
0
16
16
8
8
8
1
16
16
0
16
16
16
0
0
0
17
17
0
8
8
8
0
16
8
0
8
8
8
0
0
48
0
0
8
8
8
1
25
17
17
0
0
0
8
8
8
16
8
0
0
0
0
0
21
2
0
0
0
16
16
16
16
16
8
16
16
16
4
1
0
0
4
8
8
0
0
0
16
16
16
0
8
0
0
0
48
0
0
0
0
12
0
0
0
8
32
32
16
0
0
0
0
8
8
0
0
8
0
0
0
4
0
0
0
24
24
32
0
0
0
2
1
14
14
28
16
16
16
24
24
0
0
8
0
28
28
16
1
1
0
0
17
17
0
0
16
16
16
16
0
8
0
32
16
8
2
2
2
2
2
16
0
0
16
0
0
0
8
8
0
0
1
1
36
36
0
1
16
16
8
8
16
0
32
32
0
16
16
8
4
0
0
0
0
0
16
16
16
8
8
4
16
16
0
0
51
35
0
33
2
2
2
2
2
2
2
2
2
0
8
0
0
0
20
0
8
0
0
0
0
8
8
0
32
16
0
0
0
2
8
0
2
8
0
12
0
2
8
8
8
0
0
0
0
0
0
5
8
0
0
9
4
0
0
0
32
0
0
0
0
0
0
0
1
8
8
0
26
0
16
8
8
0
8
8
8
0
0
1
1
1
0
0
16
16
16
0
8
16
0
16
16
16
16
0
8
0
0
1
0
8
8
8
1
16
0
0
0
0
0
0
0
8
0
8
6
0
8
8
8
16
24
0
0
8
0
0
24
24
20
0
0
8
8
0
0
24
0
0
8
0
0
0
0
0
0
0
0
1
16
1
1
0
16
8
16
0
0
8
8
8
16
0
0
8
0
16
0
0
16
16
16
16
16
8
8
8
0
8
17
1
0
12
12
0
0
8
8
8
0
0
16
1
20
0
16
4
0
2
0
18
0
0
8
8
9
9
8
18
2
1
20
8
8
0
16
0
0
8
8
0
16
16
16
0
0
0
16
16
16
16
0
0
8
8
8
8
16
16
16
16
16
16
16
4
4
16
1
0
0
0
0
0
0
4
4
0
0
0
0
0
8
0
0
0
8
0
0
32
32
32
17
0
0
0
0
0
0
0
8
8
8
8
8
50
50
16
0
16
0
0
0
16
0
0
0
8
0
32
32
16
16
6
0
8
0
8
8
8
8
8
8
0
24
24
0
16
16
16
16
16
16
16
16
0
21
21
21
21
0
1
0
0
0
0
8
8
8
16
16
0
8
0
0
1
1
1
0
8
8
0
26
26
26
26
26
0
0
8
0
8
8
8
0
0
0
12
12
3
3
3
3
8
8
0
0
0
0
0
0
0
0
0
0
0
0
4
17
0
16
16
16
16
16
0
0
16
16
16
0
8
8
4
4
4
0
0
0
0
16
0
0
0
0
1
1
16
8
16
0
0
0
4
0
0
1
8
4
4
4
0
33
33
33
33
0
1
1
18
8
8
8
8
8
0
0
0
0
0
0
0
0
8
16
16
16
16
0
0
0
16
8
0
0
0
0
0
0
0
8
0
4
8
35
0
0
2
1
0
2
2
0
16
16
8
8
8
1
8
0
8
18
4
0
0
0
0
8
0
32
32
0
0
16
16
16
16
16
16
16
16
8
8
0
0
0
8
0
0
0
8
8
8
1
1
16
11
0
8
8
1
0
0
8
8
8
0
8
16
16
16
16
8
16
16
8
8
8
0
0
0
0
0
0
0
8
8
8
8
8
0
0
0
0
0
8
0
0
0
0
0
9
2
8
8
8
8
32
8
0
0
0
2
2
16
16
16
26
26
8
1
1
1
8
8
0
8
0
24
0
0
0
0
8
8
0
4
4
0
0
0
0
0
0
0
0
17
16
16
8
2
4
8
1
4
0
0
1
1
16
16
24
24
16
4
4
4
0
0
0
0
0
0
0
8
17
8
8
8
8
8
0
0
0
8
0
0
8
8
0
0
0
0
0
16
16
8
1
0
16
16
0
8
8
0
8
20
8
0
0
0
0
0
0
16
16
16
0
0
16
0
0
1
0
8
0
8
2
16
0
0
0
0
8
16
54
16
0
0
20
0
0
8
0
16
16
16
0
4
0
16
16
8
8
0
16
8
0
16
16
16
2
0
0
0
0
0
0
8
0
0
2
2
2
8
8
8
8
4
2
2
2
0
0
8
8
0
0
16
16
16
16
8
0
4
8
8
1
16
0
0
49
0
0
1
8
0
0
0
0
0
0
0
0
0
16
0
0
0
2
2
2
2
8
0
0
0
0
0
0
0
0
8
9
8
0
0
0
0
0
4
4
0
0
24
24
8
8
2
0
0
0
16
8
8
0
0
0
8
0
0
8
24
8
8
0
0
0
1
1
16
8
0
20
20
0
8
9
0
8
8
8
8
1
24
24
16
0
0
24
8
16
4
4
0
0
0
0
8
4
0
8
34
34
34
1
0
0
0
0
1
16
16
0
25
8
8
16
0
16
0
16
16
24
32
0
16
8
8
24
24
24
4
1
2
20
0
8
0
0
8
8
8
0
0
16
16
16
8
8
32
16
0
16
16
8
16
16
16
16
2
2
2
2
2
1
9
8
0
0
0
0
2
2
18
0
0
1
4
4
3
3
32
0
4
2
8
8
2
0
0
0
2
2
2
8
8
0
0
4
4
0
8
8
0
0
0
8
8
4
4
4
4
4
4
4
0
1
2
2
16
8
24
24
8
0
16
16
8
0
0
0
2
24
0
16
0
24
24
24
24
16
0
0
0
16
0
0
25
16
16
8
8
10
4
0
0
2
2
0
0
0
0
16
16
0
16
0
32
32
0
0
0
0
0
0
0
0
8
0
0
4
4
8
16
1
0
0
0
0
16
16
16
16
16
16
16
0
0
0
16
24
0
16
16
16
16
0
8
0
8
16
17
0
0
0
0
0
16
16
16
16
16
16
22
8
2
2
10
0
0
0
0
8
0
16
4
0
0
28
8
8
8
0
0
8
8
0
0
16
16
0
0
9
16
16
16
10
10
24
24
0
0
8
40
0
16
16
0
0
0
0
0
20
20
20
8
0
0
0
0
0
0
0
9
8
0
0
0
0
8
8
8
8
0
0
16
16
0
1
8
16
0
0
8
0
8
8
1
16
8
0
16
16
0
8
8
0
0
0
0
0
0
0
0
24
24
8
0
0
2
2
2
2
8
8
0
0
0
0
0
0
0
0
16
16
6
2
20
20
8
8
24
24
24
8
0
16
16
0
8
12
8
8
4
0
8
14
0
0
0
0
8
4
0
0
16
8
8
8
1
1
1
1
1
0
0
1
2
16
16
8
0
16
2
16
4
8
16
16
0
0
0
34
0
8
18
18
18
8
8
17
0
1
4
8
0
0
8
0
32
8
0
0
0
0
0
8
8
0
16
16
0
16
16
0
0
0
0
0
6
0
0
0
0
0
0
0
0
8
12
48
4
0
1
0
0
16
0
8
8
16
16
0
0
0
0
0
8
16
1
1
1
0
0
0
0
8
0
16
2
2
2
8
0
1
8
16
0
0
0
0
0
16
0
24
24
8
16
4
4
4
0
20
8
8
8
8
8
8
0
0
0
0
0
16
16
16
56
1
8
8
8
0
8
8
8
8
8
16
0
0
8
0
0
0
0
0
0
0
0
8
8
8
8
8
8
16
8
2
0
8
16
16
8
0
1
1
0
1
1
24
24
24
8
0
0
0
0
0
20
20
20
0
0
0
4
0
0
16
0
4
18
0
16
4
2
8
8
12
12
38
8
8
0
0
0
0
0
0
0
0
0
8
8
0
16
19
8
8
9
9
0
0
0
0
0
0
0
0
16
0
8
8
8
16
16
0
0
17
0
0
0
0
16
8
0
9
1
1
8
8
0
16
0
0
0
0
0
8
0
0
0
0
1
4
4
4
4
4
0
16
16
8
4
4
4
4
16
8
8
0
8
8
16
16
24
24
24
12
4
0
8
8
8
0
0
0
0
0
4
4
16
16
16
16
0
0
18
18
18
0
0
1
1
1
8
8
17
0
0
16
16
0
0
18
0
0
0
8
8
2
2
2
0
2
0
16
1
0
8
8
8
8
16
0
0
0
52
16
16
4
4
0
1
0
8
8
40
32
1
8
8
0
8
4
4
4
4
0
4
4
0
16
16
16
16
8
4
4
8
8
0
8
16
8
0
8
0
0
0
16
0
0
16
0
0
8
0
1
1
1
8
8
8
8
1
0
0
0
0
0
0
0
36
36
36
36
36
36
36
36
36
36
8
46
46
2
2
8
8
0
0
12
12
16
20
20
20
8
8
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
16
16
16
0
0
16
16
16
8
16
8
0
0
0
24
8
8
8
8
16
16
16
16
0
4
4
0
10
6
16
16
0
0
2
4
32
32
32
32
32
32
4
16
2
4
4
4
4
0
0
0
32
4
0
0
8
16
16
0
0
0
0
16
8
24
24
0
4
8
8
8
2
8
8
0
34
2
16
16
8
8
0
16
8
0
0
0
8
8
16
0
2
0
0
0
1
1
24
24
24
8
8
8
16
0
0
16
16
16
32
0
0
0
0
0
2
8
8
0
4
4
4
32
0
0
4
8
8
1
0
0
8
0
0
0
4
16
16
8
24
0
0
0
0
16
32
0
2
2
0
0
16
0
0
8
3
0
0
16
16
16
16
8
0
0
0
0
2
52
0
2
0
16
16
0
0
0
0
0
8
2
16
16
16
16
16
16
24
0
0
0
8
26
1
1
1
28
8
16
0
0
0
0
0
0
16
16
16
2
1
17
8
8
16
0
16
0
0
8
8
24
0
0
0
16
16
0
0
0
4
14
16
8
8
16
0
0
0
4
8
8
8
24
8
8
8
8
1
2
0
24
24
0
0
0
0
0
0
0
2
16
16
4
0
16
16
0
0
0
24
24
0
8
0
3
2
2
16
16
16
16
8
8
8
8
8
0
0
1
20
1
17
0
0
0
0
0
0
0
0
16
16
16
16
18
8
16
16
16
32
32
0
8
32
32
32
32
32
32
0
14
0
0
0
0
0
8
2
0
0
0
4
2
2
8
8
0
0
8
0
16
16
8
8
8
4
12
0
0
0
0
0
1
0
0
0
0
1
33
8
8
0
2
4
8
8
0
0
16
0
0
0
4
1
16
16
16
4
4
16
16
16
18
18
16
16
0
0
0
1
6
0
8
8
4
28
8
1
1
1
2
1
12
8
0
0
0
0
0
0
8
8
8
16
16
0
8
16
0
32
0
16
16
8
8
24
8
1
1
8
8
16
0
0
0
16
0
16
0
0
8
8
8
8
0
0
0
0
8
8
8
5
5
16
1
1
1
1
2
2
2
2
2
8
0
32
8
8
8
16
16
0
0
9
16
16
16
16
0
2
2
0
0
1
16
16
4
0
8
0
8
2
4
4
4
4
24
16
0
1
0
0
0
8
8
1
1
1
1
1
1
1
0
0
0
0
0
16
0
0
2
24
24
0
8
2
8
27
4
4
0
16
8
8
8
16
0
0
20
0
0
0
0
0
0
0
0
1
0
0
16
8
8
8
8
16
16
16
0
0
0
8
0
16
0
1
8
8
0
0
20
20
4
0
8
8
8
40
0
8
16
8
0
0
32
0
0
0
0
8
0
0
0
0
0
0
0
1
0
8
0
0
0
0
8
8
32
32
0
0
0
0
0
0
0
8
8
0
0
0
16
2
16
0
0
0
32
4
8
8
8
24
0
0
0
4
4
0
12
1
0
0
0
0
0
0
0
0
4
16
6
6
6
0
0
0
0
2
4
4
16
0
8
8
4
0
8
8
4
16
0
8
4
0
0
12
12
2
2
16
16
0
16
16
0
16
16
4
4
2
2
0
16
0
32
32
16
16
0
0
0
0
0
0
16
16
14
0
0
0
16
2
2
16
0
0
10
2
2
2
1
1
16
16
0
0
0
0
0
9
9
4
4
4
4
4
16
16
16
16
16
16
16
0
0
0
0
4
8
0
4
4
0
16
8
8
16
8
0
0
0
63
1
0
0
0
0
16
0
16
16
10
8
0
16
1
0
0
0
0
0
0
16
16
10
0
0
0
0
16
16
16
16
16
6
14
0
0
0
30
30
2
4
0
0
0
0
12
24
24
0
0
0
16
20
20
20
8
8
16
8
8
8
8
8
2
0
16
1
16
16
32
8
1
0
24
0
8
32
32
8
8
10
8
8
8
8
9
0
0
0
8
16
26
0
0
1
8
16
16
16
16
16
0
8
26
12
16
0
0
0
8
8
2
2
16
16
0
1
0
0
0
0
8
0
0
24
24
4
24
24
1
8
8
8
8
0
0
0
0
8
4
8
8
0
0
0
0
0
0
2
2
0
16
0
0
0
27
27
32
0
8
8
16
16
16
8
0
16
16
8
2
8
8
32
0
8
1
1
1
1
1
36
36
16
16
0
0
0
0
0
8
8
8
8
1
16
8
8
16
0
0
1
4
0
4
0
4
4
4
0
0
0
0
0
8
0
4
0
0
0
0
0
0
0
0
0
32
0
0
8
8
0
0
8
8
0
38
16
8
0
24
16
8
24
20
0
2
17
17
8
0
0
0
0
0
8
8
8
8
0
0
0
0
8
8
8
8
8
6
2
2
2
2
0
0
8
8
8
8
8
16
24
8
0
8
0
4
1
1
0
8
8
32
32
0
0
8
8
8
8
8
24
4
0
0
0
0
16
16
16
4
0
0
2
0
16
16
20
20
0
0
8
2
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
8
16
16
16
16
0
0
16
16
8
0
16
9
1
56
1
8
16
0
0
0
0
0
0
0
16
16
16
16
8
4
8
8
8
8
0
0
0
0
1
8
2
16
16
16
0
0
5
40
8
16
0
0
16
16
8
4
4
4
4
4
4
4
4
4
4
4
4
2
16
1
1
1
1
8
8
8
8
4
4
4
4
4
4
0
0
0
0
16
4
4
4
4
0
0
17
8
1
1
0
1
0
8
8
8
8
0
0
17
16
1
1
0
0
0
0
1
2
0
0
8
8
8
8
8
0
3
4
8
8
8
0
0
0
8
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
16
0
1
0
0
0
0
0
16
16
16
32
0
0
0
0
0
8
8
16
16
16
0
1
8
8
12
12
8
33
33
0
0
0
0
0
12
12
16
0
0
0
0
0
0
2
2
24
24
16
16
0
0
0
32
0
16
24
24
0
0
0
0
0
0
16
8
8
0
8
12
0
16
16
16
1
8
8
8
24
24
24
24
2
2
2
4
16
8
0
0
0
0
1
0
0
32
24
24
0
2
2
8
8
8
16
16
8
16
2
2
0
0
0
8
8
8
48
48
48
0
16
16
16
8
8
16
16
16
8
24
8
8
8
0
0
0
0
1
0
8
8
16
8
0
16
16
16
0
0
4
4
4
8
8
8
8
1
18
2
0
0
8
8
8
0
2
2
2
16
2
0
2
1
16
8
0
0
0
2
8
16
16
16
8
8
8
4
0
0
0
0
0
1
1
8
8
0
16
8
2
2
16
0
18
16
16
2
32
0
18
18
0
0
0
0
8
0
16
0
0
0
0
0
16
16
1
0
0
8
0
0
0
0
1
1
1
1
1
1
0
0
0
12
0
0
16
16
16
16
4
1
16
4
4
40
0
4
0
8
24
0
0
0
8
8
0
8
16
2
2
2
0
8
8
0
0
0
8
32
32
4
0
0
0
0
0
0
0
2
4
2
22
0
1
16
0
24
0
8
8
0
12
8
8
8
16
0
16
0
0
0
8
8
8
8
8
0
8
8
0
0
16
8
0
16
16
16
16
16
16
16
16
16
16
4
16
16
4
8
0
0
16
0
16
4
4
4
4
12
8
0
0
8
16
0
0
0
0
0
4
2
2
0
8
0
16
8
8
0
0
0
8
8
4
4
8
0
8
1
8
8
1
1
8
0
24
24
16
16
16
0
0
0
0
0
0
8
0
8
8
0
1
2
16
16
8
8
8
0
0
8
8
1
4
0
32
32
8
8
0
0
0
20
20
0
0
2
0
0
16
0
0
0
8
0
0
0
8
16
16
16
16
16
16
16
0
0
1
0
0
8
0
0
16
16
16
16
8
8
8
8
8
0
16
8
8
0
4
4
4
0
0
32
0
0
0
16
1
0
0
0
0
0
0
0
16
0
4
40
0
8
8
16
16
32
32
16
0
4
0
0
0
16
4
0
0
0
10
10
1
1
1
0
0
4
4
4
4
4
41
0
8
0
8
8
0
0
16
8
0
0
0
33
33
33
0
1
20
20
20
20
4
4
0
0
8
16
8
0
0
0
0
0
0
0
20
20
8
0
16
16
0
0
16
4
0
9
0
4
2
8
8
8
8
8
16
16
16
2
2
2
0
0
0
0
16
4
8
0
1
8
16
32
1
1
1
6
0
8
8
8
2
1
0
0
0
0
0
9
0
16
16
0
16
16
16
16
16
16
16
0
0
0
8
8
0
0
2
0
0
0
0
16
16
16
0
4
0
16
8
0
0
0
0
16
0
0
0
32
8
24
0
0
16
16
16
16
1
0
21
21
16
16
8
8
8
8
16
18
8
0
0
0
18
16
0
2
2
8
8
8
8
8
8
0
8
8
4
4
0
8
0
0
0
8
8
2
0
8
8
16
16
4
8
2
2
4
26
1
8
0
0
0
8
8
8
8
40
8
16
8
16
16
8
16
16
0
0
4
18
8
16
0
2
0
0
8
16
8
8
16
2
16
16
16
16
4
8
8
1
24
8
8
8
8
8
8
0
16
57
0
0
6
8
16
2
2
0
40
16
16
0
0
0
4
8
16
8
8
1
29
8
1
1
1
1
16
0
0
0
0
2
2
2
2
16
8
2
8
0
8
48
48
0
0
24
0
0
1
16
56
0
8
8
16
12
12
12
16
0
3
0
0
0
0
0
0
34
0
0
8
8
0
6
6
6
6
6
0
0
20
20
20
0
0
8
0
0
0
0
0
0
10
10
8
4
0
16
16
16
0
0
8
8
0
0
0
0
18
0
0
16
1
1
0
8
8
16
0
16
16
0
1
0
0
8
0
3
8
0
16
16
16
8
0
8
8
8
32
16
0
0
9
9
9
24
24
24
24
2
2
0
0
24
24
24
24
16
2
8
16
0
0
16
16
0
16
0
0
0
32
17
17
6
6
16
16
16
16
16
16
16
17
0
0
0
0
0
16
18
16
8
16
0
0
2
0
0
16
16
37
0
0
24
8
8
8
8
8
0
0
2
16
8
0
0
24
16
8
16
0
0
16
4
4
0
49
16
16
40
8
8
8
8
8
8
8
16
16
16
16
0
2
2
32
32
32
32
32
16
0
2
2
28
0
0
16
0
16
16
16
16
16
4
16
16
0
16
8
8
2
0
8
32
32
10
0
0
8
16
8
8
16
16
16
16
2
2
0
16
16
16
24
0
16
16
16
0
0
0
8
24
0
16
16
16
16
1
12
12
12
12
12
12
12
16
8
0
0
0
2
4
0
0
0
0
0
32
32
32
32
0
16
1
1
1
1
0
1
8
0
0
0
0
1
25
0
0
16
16
8
8
8
0
8
0
0
16
0
2
0
0
0
8
0
8
8
20
16
16
16
16
16
0
8
0
0
1
1
3
3
0
0
0
0
0
16
0
0
0
16
22
20
20
8
6
0
0
0
8
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
4
0
0
0
0
0
2
0
0
0
8
8
0
24
0
0
4
0
0
0
0
8
8
8
48
8
8
8
16
2
0
0
16
0
16
8
17
17
0
8
8
8
8
8
4
0
0
0
0
32
0
0
16
16
16
16
16
16
32
24
8
8
8
8
0
0
8
8
16
0
0
8
8
16
16
16
16
16
16
0
16
0
16
40
16
0
0
0
17
0
4
4
16
8
8
25
8
8
8
8
0
0
9
57
0
4
4
17
1
16
16
16
1
0
4
4
4
4
16
16
1
1
0
0
0
0
16
8
19
19
19
19
5
1
2
0
0
0
1
16
21
30
0
0
16
16
0
0
36
36
36
0
8
8
4
0
25
25
25
16
0
16
0
0
17
17
0
0
16
32
0
10
10
0
8
8
8
2
2
8
0
18
18
18
16
0
0
0
0
0
4
8
0
0
0
0
10
10
0
0
0
0
16
2
16
0
0
0
0
0
0
0
8
8
8
8
8
0
1
1
0
16
16
8
9
1
0
16
16
8
8
8
0
0
0
0
0
0
0
8
0
0
0
0
0
4
4
4
8
8
16
0
0
20
8
16
8
8
8
0
0
14
8
0
0
2
2
1
1
0
16
16
8
8
18
0
16
16
4
4
8
8
0
0
0
2
2
2
4
0
8
8
8
0
0
0
0
16
16
0
4
25
8
8
0
8
0
0
0
16
0
0
0
1
4
20
20
20
20
16
8
8
8
2
2
2
0
0
0
8
8
17
16
1
1
2
2
2
0
8
16
16
16
8
0
9
16
8
17
0
0
0
20
4
0
0
0
0
1
1
1
8
8
0
16
8
1
8
0
0
4
4
4
4
4
4
4
4
4
4
4
0
8
1
0
0
0
0
8
8
4
32
0
8
8
8
60
16
8
4
0
0
0
0
0
26
8
8
16
18
8
8
2
2
1
1
0
8
8
8
8
8
0
0
0
0
0
4
8
8
4
0
16
16
4
0
2
2
2
16
5
4
4
4
0
16
16
16
4
4
4
0
0
0
16
1
8
8
0
0
0
0
8
0
0
5
5
4
2
0
4
4
0
0
1
8
8
8
26
32
0
1
0
0
8
8
0
0
1
16
16
16
0
8
0
0
16
8
8
8
16
16
0
4
8
0
0
0
8
8
0
0
4
4
4
4
0
2
2
2
2
2
0
0
4
4
4
8
4
4
8
8
8
8
32
8
0
16
0
0
0
17
17
0
1
1
1
1
1
0
8
2
16
0
0
0
0
16
0
0
0
2
0
0
0
0
0
32
0
0
1
8
0
16
16
16
0
8
0
0
0
0
8
8
8
8
2
0
0
8
1
0
14
0
9
9
0
16
0
0
0
0
8
0
0
0
16
13
13
1
1
1
16
16
16
16
0
0
0
0
0
0
0
4
0
0
0
0
0
0
19
8
0
0
8
0
24
0
8
16
16
16
0
16
16
0
0
0
36
32
32
32
0
0
0
8
8
0
0
16
16
8
0
8
16
20
8
8
0
24
0
16
16
16
0
0
0
0
0
16
0
61
61
0
0
48
1
16
28
8
13
8
8
8
0
0
0
16
0
16
0
8
8
8
8
8
8
8
16
16
16
1
24
24
0
16
8
8
2
16
16
8
8
8
16
4
0
8
16
16
8
4
4
0
32
1
1
8
0
0
16
16
16
0
0
0
0
2
2
16
24
16
0
0
0
0
0
0
16
16
16
16
34
2
2
2
8
0
0
4
8
1
1
0
0
2
1
1
1
0
0
8
0
2
2
8
0
0
32
16
4
4
8
8
16
0
0
0
0
0
1
1
1
1
0
0
0
0
0
8
8
0
4
4
4
0
8
0
0
0
0
0
32
8
16
16
16
16
16
16
16
0
8
8
0
0
10
0
8
8
0
8
8
8
8
8
12
8
0
8
0
16
8
8
16
8
16
16
16
16
1
1
2
8
16
8
8
32
32
2
2
8
8
0
0
0
1
16
16
8
8
0
0
2
8
8
8
8
0
0
0
0
8
28
16
16
16
16
16
16
0
0
4
0
4
4
16
16
16
1
18
2
2
16
16
4
4
4
8
8
0
24
4
0
0
16
16
0
0
0
0
0
0
16
16
8
8
8
8
0
8
0
16
16
16
8
32
0
0
16
0
16
0
4
4
0
16
0
8
16
16
16
0
0
0
0
0
0
4
0
0
4
16
16
16
16
0
0
1
24
0
0
0
0
0
0
0
0
32
32
4
17
0
0
16
16
16
0
0
0
24
3
32
32
32
0
4
0
8
8
24
8
8
8
8
2
0
0
0
0
0
32
0
0
12
12
8
1
1
1
1
16
4
4
4
8
8
0
0
0
0
8
0
2
4
4
4
4
4
8
0
8
1
0
0
0
0
4
4
4
4
0
0
0
16
0
12
4
0
0
0
0
8
0
0
8
0
4
4
8
16
0
0
16
0
2
2
2
2
0
0
0
0
16
1
32
32
8
8
0
0
0
4
0
0
0
24
8
8
8
0
0
0
0
0
17
17
0
16
16
0
0
0
0
0
0
0
0
8
8
8
8
8
8
8
8
4
1
32
8
8
1
1
1
1
0
8
0
0
0
0
4
4
0
0
0
0
0
0
8
1
16
16
0
4
8
8
16
16
16
16
16
0
2
2
2
8
16
8
4
0
4
0
0
0
0
0
0
16
0
8
0
4
4
16
16
0
8
8
0
0
0
0
8
16
16
16
8
8
16
8
0
1
8
8
16
8
57
8
16
16
8
8
8
2
16
0
0
16
0
0
0
4
4
4
8
0
0
0
0
8
8
8
8
1
16
0
8
0
0
0
0
0
16
20
20
16
0
8
16
4
8
2
2
2
2
0
0
0
0
0
4
0
8
8
2
8
0
28
56
56
2
1
1
0
0
8
8
0
0
0
0
4
4
1
0
0
0
8
8
8
4
0
8
16
2
2
2
16
1
1
1
1
8
10
4
4
0
0
0
1
0
8
0
4
14
1
1
0
0
0
1
8
0
0
0
8
8
4
4
4
4
0
0
1
1
1
0
32
32
0
8
0
8
8
8
8
8
16
4
4
0
0
16
0
8
8
8
8
0
0
36
6
0
8
8
17
0
16
16
16
16
16
16
1
16
16
0
8
16
16
8
12
8
16
0
2
0
0
0
0
0
8
8
0
0
0
6
6
0
8
8
0
0
0
16
0
8
8
16
8
0
8
16
2
0
0
0
0
0
17
41
0
0
0
0
16
8
0
1
0
0
9
25
4
0
4
24
16
16
16
16
8
8
4
8
0
0
0
0
0
8
26
16
16
9
8
16
0
0
0
0
0
48
2
1
1
9
1
8
8
32
0
0
8
0
16
0
0
0
0
1
16
16
16
0
0
16
35
25
0
12
23
4
4
0
24
24
16
16
0
0
0
0
0
0
8
16
16
8
8
8
8
4
8
8
8
0
0
1
0
0
8
8
4
4
4
4
1
1
0
8
8
8
8
16
0
9
0
0
8
28
0
0
0
0
16
17
16
0
0
0
0
8
24
16
16
4
0
32
4
0
0
0
0
8
0
0
2
16
16
16
8
8
8
4
2
2
8
8
0
0
0
0
0
0
8
16
16
16
0
0
0
0
8
8
8
8
0
2
4
4
4
4
0
8
8
8
0
0
0
1
16
1
0
0
16
16
8
0
0
0
0
18
2
2
2
0
0
0
16
8
2
2
16
0
0
0
8
8
0
0
4
8
16
16
16
0
0
36
16
16
16
2
16
0
9
9
1
0
0
16
0
8
8
8
8
8
8
0
0
0
0
0
0
8
8
0
0
20
16
16
0
16
0
0
0
4
16
24
0
4
4
4
0
20
4
16
16
0
54
16
0
0
0
0
8
40
40
16
2
2
0
0
0
0
0
16
16
0
0
0
56
56
36
0
4
24
2
0
8
4
0
0
0
0
28
28
28
0
16
0
8
24
8
16
0
0
0
0
18
0
0
0
0
16
16
16
16
0
1
16
1
4
0
0
0
16
16
16
4
4
0
0
9
60
4
16
4
8
8
16
0
16
16
8
16
16
16
0
0
0
0
4
8
8
0
0
0
0
0
0
0
0
0
0
9
9
8
8
8
8
8
0
0
0
4
0
0
8
8
8
0
1
33
33
2
2
2
8
8
8
0
0
0
0
0
0
0
16
8
8
1
1
12
12
8
32
32
32
0
0
12
0
0
4
4
4
16
16
8
8
4
0
0
8
8
8
0
24
16
16
4
0
8
8
20
2
2
4
0
8
4
0
16
16
2
0
0
16
16
16
0
8
8
8
8
8
0
8
0
0
4
8
8
1
8
8
8
0
8
8
0
2
0
8
8
8
8
8
20
16
0
0
0
8
0
0
8
12
12
0
16
16
0
4
16
16
0
0
0
0
0
0
16
16
16
16
0
0
0
0
8
2
8
8
12
4
8
8
16
0
16
0
0
16
16
1
1
1
1
1
0
16
16
0
8
8
8
4
4
0
0
28
28
17
0
0
0
0
30
30
30
0
0
8
16
0
0
18
0
4
4
0
0
0
0
0
0
0
8
0
8
8
8
8
8
8
8
16
16
16
16
16
0
0
16
0
0
4
4
4
4
52
20
4
16
0
0
8
8
1
2
4
0
0
1
5
5
16
2
0
0
0
0
0
0
0
8
4
37
2
2
8
56
56
56
16
8
8
0
0
0
0
16
16
16
0
8
0
8
0
9
0
8
0
0
0
0
8
18
18
4
8
8
8
16
1
1
1
1
1
1
1
0
0
1
4
4
8
8
16
16
0
0
2
2
5
5
8
8
0
0
4
16
41
0
0
0
0
0
0
0
0
0
0
16
16
4
0
0
24
16
16
0
0
0
0
32
4
16
16
0
8
16
16
8
8
8
8
8
8
8
8
16
0
0
20
20
20
0
8
8
32
7
7
0
0
0
0
0
8
4
0
0
0
0
0
2
2
25
0
0
0
0
0
0
0
0
16
16
0
16
8
0
32
0
1
16
16
8
0
0
16
8
8
32
32
0
0
0
16
16
4
8
8
27
27
27
8
8
8
16
16
16
16
8
0
0
0
0
0
0
0
16
16
16
0
8
27
27
27
27
27
8
8
0
0
2
8
8
0
0
4
4
4
4
0
0
17
0
0
0
0
0
4
4
4
4
16
16
0
0
16
0
0
0
8
8
8
8
4
16
16
16
16
16
2
2
16
0
0
8
4
4
16
16
16
8
0
1
0
0
8
8
24
16
8
0
0
4
1
1
24
0
0
0
8
9
26
0
20
20
20
0
0
4
8
16
0
8
24
0
0
8
5
0
0
0
0
0
0
16
16
0
8
8
0
0
8
0
0
16
0
0
0
8
8
0
16
16
16
8
8
8
8
8
8
8
5
0
0
0
4
0
0
0
8
8
8
8
12
0
17
0
2
0
0
8
16
8
34
34
34
34
0
0
4
4
8
8
8
18
18
0
8
16
16
0
0
0
0
0
8
8
0
0
0
0
4
16
0
0
0
0
0
16
16
0
0
0
0
0
32
32
0
8
8
4
4
0
20
20
4
4
0
0
0
2
2
0
0
0
8
8
8
8
8
8
8
8
8
2
2
2
0
16
16
16
16
0
0
0
0
20
0
16
0
2
8
8
40
8
16
0
0
16
16
16
32
32
32
32
0
8
8
0
16
8
8
0
0
8
0
8
0
2
2
2
16
16
4
8
0
8
0
0
0
0
0
16
19
19
16
16
16
16
16
16
2
0
0
2
2
8
8
20
16
16
16
0
0
8
0
4
0
0
0
0
0
0
8
8
6
6
0
16
16
16
1
0
0
8
24
24
9
9
1
16
16
0
8
8
8
8
4
4
16
16
16
16
16
28
2
2
2
16
8
8
0
16
16
0
26
2
2
2
16
16
16
4
4
0
0
0
8
0
32
32
0
0
4
4
0
16
16
0
16
16
16
16
16
8
8
8
16
0
0
0
24
24
0
0
1
8
8
0
0
0
0
0
0
4
1
1
8
0
0
8
8
16
4
4
2
32
16
16
0
8
8
8
8
0
0
10
16
12
8
8
24
0
0
0
0
0
2
16
8
8
0
0
16
16
0
0
0
4
4
8
8
8
4
0
0
0
0
0
0
8
26
4
4
8
16
16
16
0
0
0
0
1
20
20
20
2
8
10
8
18
0
0
0
8
0
0
0
0
0
0
0
0
1
1
8
8
1
0
0
0
0
0
0
0
0
0
0
0
0
0
8
16
16
32
40
8
0
8
8
6
0
0
0
0
0
8
0
16
16
20
16
8
24
16
8
8
16
16
16
8
8
0
0
0
0
0
0
8
1
1
8
8
8
8
24
24
24
24
24
4
4
0
8
16
16
4
16
8
16
16
16
0
0
0
8
0
9
9
0
0
0
0
0
32
32
32
32
0
25
25
20
4
16
16
16
16
16
2
2
16
16
16
16
0
8
8
8
0
8
16
16
16
0
0
0
0
33
33
33
33
33
33
0
0
1
1
20
20
1
24
0
0
2
2
16
16
16
8
4
4
0
0
0
0
16
16
16
16
16
0
0
0
0
0
0
0
4
0
0
0
0
16
16
0
0
0
0
16
8
8
8
8
0
16
16
16
24
24
16
16
16
36
12
12
8
45
45
2
2
28
0
0
8
0
8
0
8
0
16
16
16
16
8
8
8
0
2
2
0
0
4
16
16
8
1
8
1
0
0
2
8
8
0
8
4
0
32
16
16
0
0
0
4
4
0
0
4
4
4
0
0
10
0
4
16
16
16
0
16
0
0
16
16
2
8
0
1
1
0
8
8
8
8
8
0
0
0
0
0
8
8
0
0
0
16
16
0
0
0
0
0
8
8
8
0
0
0
0
16
16
8
0
16
0
1
1
1
16
16
0
4
0
0
0
0
0
0
0
8
2
0
0
0
4
0
0
0
0
0
1
16
16
16
16
16
24
24
9
0
31
31
8
16
16
16
16
16
16
16
16
16
16
0
0
0
2
2
17
17
0
16
24
0
8
8
16
8
0
0
2
2
2
2
0
0
8
0
8
8
0
0
8
8
32
32
8
8
4
0
16
8
8
8
16
4
16
0
2
2
8
8
8
24
16
0
2
2
2
0
0
0
2
2
18
8
8
8
8
8
4
0
52
32
0
2
8
0
8
0
24
16
8
9
0
16
4
0
16
8
32
16
16
0
4
1
46
46
0
0
0
8
8
1
0
0
0
16
0
0
0
8
32
0
2
16
16
16
16
16
16
0
0
16
16
1
0
0
0
0
0
0
0
8
0
0
0
0
0
0
1
1
0
0
17
17
17
16
16
32
8
16
16
8
0
16
16
0
16
16
25
1
0
0
8
8
16
16
16
16
8
0
0
16
16
16
16
16
0
2
2
0
0
0
4
4
4
0
0
0
0
5
5
18
33
33
8
8
8
1
0
0
0
0
1
0
4
16
4
8
0
0
8
0
20
16
0
0
16
0
1
0
0
16
16
16
0
1
16
16
16
0
8
8
0
8
0
0
0
16
25
0
0
16
16
0
24
0
0
2
8
0
0
4
0
0
8
0
0
0
0
24
0
0
4
4
0
16
0
0
1
1
1
1
1
1
1
1
4
8
18
2
0
0
8
0
0
0
8
8
16
0
16
0
48
0
0
8
0
0
0
0
0
0
0
32
0
0
0
0
0
8
0
5
5
0
0
0
0
0
8
25
25
0
0
4
0
0
0
0
8
0
8
8
0
0
1
16
16
0
4
4
8
8
0
0
0
0
2
16
16
0
24
0
32
32
2
24
8
3
0
0
0
16
16
8
0
8
0
0
0
2
10
0
0
0
0
0
16
16
32
32
32
0
0
11
5
0
0
0
0
0
0
0
0
0
0
0
16
4
16
16
16
1
4
16
0
0
0
16
16
16
0
0
0
0
4
0
16
18
0
0
0
0
0
2
8
8
8
8
8
8
8
8
8
0
0
16
16
16
16
16
16
16
8
8
0
0
16
0
0
0
0
0
16
16
16
16
16
0
8
8
8
8
0
0
16
16
16
16
8
8
16
16
16
1
1
0
4
4
4
4
8
8
8
8
0
8
8
8
18
1
1
0
0
44
44
6
16
16
16
8
0
0
0
8
2
2
2
8
8
8
0
0
0
0
0
16
16
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
18
8
16
16
16
16
16
16
0
32
16
48
32
32
16
0
0
0
16
16
16
0
16
16
16
4
0
8
8
8
0
8
4
16
17
0
5
5
5
5
0
16
16
16
16
4
16
40
0
2
16
16
16
0
0
0
0
8
0
0
0
0
4
4
4
0
8
8
8
8
8
0
8
8
4
4
4
16
16
0
20
0
16
4
0
0
0
8
0
16
0
8
8
8
2
2
2
8
0
2
2
2
2
0
0
0
0
20
4
4
16
1
0
0
0
16
8
0
0
0
8
12
26
0
0
8
8
0
0
0
8
16
16
16
16
0
0
0
0
0
0
0
0
5
5
5
5
5
5
5
5
5
0
4
4
0
0
0
16
16
20
16
16
16
8
8
8
0
0
8
4
4
2
2
8
16
16
0
0
0
2
0
0
32
32
8
0
0
24
0
4
0
0
16
1
0
0
0
0
16
0
16
8
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
20
0
8
8
0
8
8
8
0
8
8
8
32
32
0
4
16
16
8
0
8
16
16
0
0
0
8
8
0
0
0
0
0
0
0
16
8
8
2
2
0
8
8
8
16
16
16
16
16
0
0
0
0
0
4
7
7
7
7
7
7
16
8
0
9
5
5
16
8
0
0
0
0
40
1
1
8
8
0
1
1
0
0
0
8
0
16
0
0
16
45
16
1
1
0
16
0
0
8
24
0
0
0
0
0
0
0
8
16
16
0
4
4
20
20
0
0
0
4
18
18
18
8
0
0
0
0
0
0
0
0
0
0
0
1
8
8
0
1
8
8
8
4
4
25
8
0
16
4
4
1
1
1
0
0
24
16
0
0
0
16
0
16
8
0
0
25
25
8
16
16
16
9
0
0
16
8
0
0
0
0
16
16
16
17
0
2
0
0
0
0
0
0
8
8
16
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
20
0
32
32
4
16
16
16
16
0
4
8
8
32
0
0
4
0
16
0
0
2
2
16
16
16
16
8
8
8
0
0
0
0
2
2
2
2
16
16
16
8
2
36
2
2
0
16
4
4
4
0
0
0
0
1
8
8
8
0
0
24
0
0
24
30
0
16
0
0
0
8
8
0
0
0
0
20
20
8
8
2
0
0
0
4
0
4
24
8
18
18
18
18
8
0
0
0
0
8
0
0
0
0
18
18
1
4
0
0
8
8
0
0
0
0
0
4
4
17
0
0
0
8
0
8
8
8
0
2
0
0
8
8
1
1
0
0
16
16
2
1
1
1
0
8
8
8
16
20
16
0
8
8
0
25
25
25
16
16
16
24
24
0
0
0
0
8
8
18
16
8
8
0
0
0
24
0
0
2
1
1
1
0
0
0
0
12
0
40
0
4
0
17
0
0
0
0
0
16
0
8
0
0
0
0
8
0
0
1
1
8
16
8
1
1
16
16
8
0
0
0
0
0
1
1
0
9
16
16
16
2
0
14
14
14
2
5
8
0
0
2
2
0
0
1
16
16
8
8
8
8
2
0
0
0
0
16
16
16
0
32
32
0
0
4
0
0
1
1
0
16
0
0
9
0
1
1
0
0
8
0
16
0
0
1
1
1
1
8
8
8
0
8
0
0
0
0
8
8
8
16
24
8
8
0
0
2
4
4
0
0
0
0
0
0
0
0
0
1
8
8
8
28
1
0
16
28
0
16
0
2
2
8
0
0
32
32
0
4
4
4
16
24
0
0
0
8
8
8
8
0
0
4
8
4
4
0
17
17
2
8
0
0
2
1
0
0
0
0
16
1
4
16
16
0
0
0
16
16
0
0
8
16
17
0
0
0
0
0
8
4
4
32
8
8
8
8
0
16
16
16
8
8
8
0
2
2
9
9
16
16
16
1
1
20
20
8
0
1
1
2
2
2
2
24
8
8
8
8
4
4
0
16
16
0
16
16
16
1
0
0
16
8
4
16
0
0
0
8
16
0
17
17
17
1
24
24
8
8
16
16
16
8
8
0
16
16
0
16
16
16
16
16
16
16
1
16
16
16
2
16
16
0
0
16
8
0
0
8
8
8
8
8
8
0
0
0
8
8
0
0
0
0
0
4
32
32
32
32
32
8
4
4
4
4
4
4
4
4
1
0
0
1
0
0
12
12
16
16
16
0
0
9
0
10
10
8
6
0
0
0
16
16
16
8
8
8
16
16
16
8
16
0
0
8
0
16
16
0
16
16
16
0
4
4
4
4
8
40
8
16
8
0
0
0
0
0
32
0
8
8
1
2
2
2
2
2
16
16
16
16
16
0
24
0
0
0
1
17
17
0
10
10
0
0
0
0
12
12
12
2
0
0
0
0
0
8
1
1
13
13
57
8
1
0
0
0
0
16
16
16
8
8
0
0
4
16
0
0
8
0
0
0
33
33
16
0
0
0
0
0
0
0
20
0
18
16
16
16
0
0
1
1
1
0
32
0
20
8
8
8
8
32
16
16
0
0
0
8
0
0
0
8
8
8
8
16
0
0
4
4
4
0
0
0
0
16
0
0
0
8
8
8
16
8
0
12
12
8
0
0
17
0
1
1
1
1
0
16
8
0
0
0
0
0
2
1
4
4
4
4
4
0
16
8
8
0
0
8
4
4
4
16
16
0
0
0
0
8
8
8
8
16
0
0
0
0
2
2
2
2
2
8
8
8
8
8
0
6
2
2
2
8
8
8
8
8
32
32
0
14
8
0
0
0
0
0
0
0
40
24
16
16
16
16
16
16
0
0
0
1
8
8
2
2
0
0
0
0
0
0
0
8
16
16
2
2
2
0
0
8
0
0
16
16
16
16
16
16
16
16
0
16
16
0
0
8
8
8
16
4
16
0
20
20
12
0
2
0
8
8
8
8
1
16
0
0
0
0
1
8
32
8
8
4
4
0
0
8
8
0
10
16
16
16
16
0
0
8
8
0
0
4
16
0
0
1
16
16
8
8
8
0
16
0
0
0
0
9
40
18
18
18
8
8
0
0
0
0
0
8
8
4
11
0
0
0
8
0
32
0
8
8
9
9
0
0
0
0
0
0
20
16
8
8
8
0
40
0
8
8
4
0
0
0
3
2
0
0
4
8
1
24
0
0
0
0
16
0
0
0
0
2
2
8
5
5
5
5
5
5
8
0
16
16
16
32
4
0
1
8
0
8
8
0
0
0
0
0
8
0
12
16
9
4
16
14
14
14
8
8
16
16
16
16
16
16
16
16
16
16
16
16
0
0
0
18
0
0
0
0
17
17
8
24
24
2
2
2
0
0
8
8
8
17
17
0
4
16
4
0
8
32
32
16
16
24
0
0
0
1
0
4
1
0
0
0
0
0
8
0
0
0
0
0
16
16
18
0
0
0
4
2
0
8
8
0
0
16
1
16
16
16
0
16
16
32
32
20
20
16
16
0
16
16
4
4
4
4
0
0
0
16
8
4
0
16
16
16
0
0
0
0
22
22
0
16
16
16
0
8
8
0
8
0
0
0
0
16
0
16
16
8
4
4
1
2
16
16
16
0
0
6
6
6
1
0
0
0
0
16
16
0
0
0
0
0
0
16
17
17
16
16
1
8
0
16
16
16
0
16
0
0
4
0
0
25
25
25
25
25
32
32
8
8
0
0
8
8
0
0
0
0
0
0
0
16
16
3
8
1
5
8
8
32
0
0
32
32
32
32
32
32
32
32
8
8
4
8
20
16
16
16
16
0
0
4
0
0
8
8
2
16
16
16
0
0
8
8
8
0
0
0
0
0
8
8
33
8
0
0
0
0
0
8
2
0
0
0
0
16
0
24
8
8
0
0
0
11
1
0
0
0
16
16
16
16
16
16
8
8
0
5
32
8
4
4
4
0
0
0
0
0
16
24
24
24
8
8
0
8
42
16
16
0
8
34
2
2
2
8
0
0
16
16
16
0
4
4
0
0
0
16
16
16
2
2
0
0
0
0
0
0
0
16
0
0
20
2
8
16
16
16
0
16
0
0
4
4
4
16
8
0
0
8
0
16
8
8
8
0
0
23
0
8
8
0
0
0
1
1
1
8
0
24
4
0
0
8
8
0
0
0
8
8
8
22
0
0
8
0
0
8
16
0
0
0
8
8
0
25
0
8
20
20
4
4
8
0
0
0
16
0
16
1
16
8
0
1
1
16
4
4
4
32
22
2
1
1
1
8
1
16
8
0
0
16
0
0
16
9
0
0
0
0
0
0
8
4
0
0
16
4
4
4
0
0
0
16
0
0
56
56
0
0
0
8
0
0
0
2
2
16
16
16
16
8
0
8
4
0
0
9
1
0
0
0
0
2
16
0
2
1
1
8
0
16
16
24
8
8
0
2
2
0
8
24
28
28
28
0
0
1
1
1
0
1
0
16
0
16
8
18
1
8
0
1
0
0
0
0
8
8
0
16
16
20
20
20
20
8
8
8
0
0
1
0
16
0
16
16
1
0
16
0
0
2
16
0
16
8
16
16
1
2
0
0
16
24
24
24
0
0
0
0
16
16
24
4
8
0
0
0
0
0
0
0
20
0
0
14
1
0
1
0
0
8
0
32
8
0
0
8
16
16
16
16
16
16
16
0
0
0
1
1
16
2
0
0
16
0
39
39
0
0
0
16
16
4
49
0
0
0
0
16
16
0
0
0
0
0
16
16
16
16
0
0
8
1
1
8
0
0
0
0
0
8
0
16
0
8
8
8
8
8
8
8
16
10
0
1
1
1
1
20
4
0
0
12
2
2
2
2
2
2
0
0
0
16
4
0
0
20
16
16
0
0
0
0
0
0
8
8
16
16
0
16
16
16
0
0
24
0
16
0
9
9
1
1
0
0
0
0
8
16
16
0
0
8
8
8
8
2
8
8
8
0
0
0
0
0
0
0
0
8
0
0
16
0
0
16
0
0
0
6
0
24
24
0
2
2
0
0
0
0
0
0
16
1
1
0
0
0
8
8
0
0
0
16
2
2
2
2
0
0
16
8
8
8
0
17
17
18
18
4
4
8
1
4
4
4
2
12
8
8
0
1
18
18
2
2
0
0
16
0
0
0
16
0
0
0
48
48
12
12
8
24
24
24
2
0
0
0
16
16
16
1
8
16
1
0
0
16
16
40
0
17
8
0
16
16
0
0
0
0
16
16
16
19
0
0
0
0
33
8
8
16
8
8
8
8
0
0
0
8
0
2
8
4
18
8
8
0
0
0
0
0
0
0
8
8
0
0
2
2
2
24
16
16
16
2
2
2
16
16
0
0
0
0
16
16
4
28
8
8
2
0
0
0
0
28
28
24
24
4
1
8
8
1
1
16
24
0
0
0
0
0
16
16
0
4
49
16
16
24
12
12
0
22
18
32
16
16
0
16
0
8
8
0
8
57
57
0
10
0
16
24
0
16
49
16
16
24
24
24
24
0
0
0
0
0
16
0
0
0
0
0
0
0
0
8
0
0
16
16
0
12
9
12
16
4
0
0
1
0
2
24
0
0
16
16
2
20
20
20
1
0
8
0
16
16
8
8
8
8
1
1
8
8
0
0
0
0
16
8
0
0
0
1
1
18
16
16
0
16
16
0
0
0
0
16
16
16
2
2
4
16
16
16
16
0
17
16
0
0
32
1
1
8
24
24
2
2
2
2
8
8
8
8
8
8
8
0
0
0
4
4
4
4
0
0
0
0
0
0
0
1
8
8
40
16
0
0
4
24
16
1
0
0
32
32
32
0
0
0
2
16
0
16
16
8
1
16
1
2
2
8
8
4
2
8
0
8
0
4
8
0
0
16
16
16
8
8
8
0
0
0
32
0
2
0
0
2
0
8
16
16
0
8
0
8
8
16
16
16
16
0
0
0
16
0
0
1
0
0
9
16
1
1
16
16
16
16
16
16
16
0
0
0
0
0
0
0
20
16
16
12
0
24
24
16
24
24
28
8
16
2
8
8
2
2
2
2
1
0
0
0
0
0
4
4
8
0
0
0
53
17
1
1
0
28
0
0
32
32
32
0
0
16
0
15
0
32
0
4
16
16
0
16
0
0
0
8
0
1
32
32
32
32
32
0
8
4
4
12
16
16
8
8
16
8
8
16
32
4
8
0
0
32
0
0
8
8
8
8
0
0
4
4
4
0
0
2
32
32
32
16
0
0
0
0
0
16
8
16
16
52
25
16
0
4
16
4
8
3
0
0
0
4
4
4
16
24
0
0
0
24
24
24
24
24
8
29
16
0
0
18
18
2
8
0
8
8
0
8
0
16
8
16
8
24
8
8
8
0
0
0
0
0
0
16
4
16
16
2
0
0
0
0
0
0
0
18
8
8
0
0
1
8
6
0
0
2
22
22
4
4
4
2
2
2
0
0
4
16
16
0
0
8
8
8
10
16
16
0
0
8
8
16
40
8
8
1
1
0
0
0
16
16
16
0
0
0
4
4
0
0
0
0
0
0
8
8
0
8
8
2
0
0
0
16
0
2
2
2
2
0
1
8
8
0
0
17
1
0
6
32
24
0
20
20
0
0
0
4
8
0
0
0
0
8
8
8
8
16
16
0
0
1
16
16
16
8
0
0
13
16
16
16
0
8
8
2
0
16
32
0
0
0
0
0
0
0
0
0
0
0
0
0
32
32
32
32
40
0
16
0
0
0
0
0
0
0
0
0
0
0
16
8
8
8
8
8
0
0
0
33
33
33
0
0
17
0
0
1
0
0
16
0
0
0
8
1
1
1
1
1
1
1
1
1
1
1
2
2
8
8
0
0
0
12
12
12
45
16
16
4
4
0
8
0
0
16
16
8
16
0
16
1
1
1
24
24
0
0
0
0
0
20
16
0
8
8
8
8
16
0
0
0
0
16
32
0
24
24
24
32
32
32
0
4
4
0
0
0
24
0
0
0
1
0
0
0
0
0
8
8
8
0
4
4
0
16
16
16
0
0
8
0
32
16
25
25
18
0
8
0
0
0
16
16
0
0
0
16
4
4
40
32
2
0
16
16
16
16
0
16
0
33
1
1
30
30
0
0
0
0
0
0
1
8
16
24
24
0
0
0
16
4
4
4
0
0
8
0
0
8
0
0
0
0
8
8
0
8
8
8
8
8
16
1
8
8
0
16
1
1
8
8
0
0
0
0
0
4
0
2
2
2
2
2
2
8
0
0
42
8
8
16
8
0
2
8
8
16
18
18
0
0
8
4
8
0
0
0
0
0
0
8
0
0
0
1
4
8
8
8
8
17
8
8
16
1
8
16
0
0
32
14
0
16
16
8
4
4
2
2
0
2
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
8
8
1
1
1
16
16
16
0
0
0
0
0
16
0
8
0
0
0
8
16
16
16
4
4
4
4
4
16
0
8
16
8
16
16
0
0
8
0
8
4
4
16
16
16
16
16
16
16
16
16
8
0
0
0
1
4
0
8
0
16
0
0
8
8
8
6
0
0
0
0
0
0
10
0
20
32
8
16
4
24
0
16
0
0
4
4
4
4
0
0
1
8
1
33
33
0
0
8
8
0
1
1
0
0
0
24
8
16
1
1
16
1
4
0
0
9
0
0
0
0
16
16
16
16
16
16
0
8
16
0
8
8
0
0
0
0
8
0
0
8
4
16
8
4
8
1
1
0
16
0
0
0
0
0
0
0
14
0
0
0
0
0
8
0
0
0
17
9
10
0
20
0
16
2
0
8
8
8
0
16
16
16
8
0
0
0
8
8
8
32
1
0
16
8
0
0
18
18
0
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
8
2
0
0
0
8
0
1
25
0
0
0
22
22
16
8
0
8
8
0
1
0
16
0
0
0
0
0
16
8
2
0
0
0
0
8
0
0
8
8
0
8
16
0
0
32
1
16
8
8
8
21
1
0
8
8
18
0
32
0
0
0
0
16
8
32
32
32
32
8
8
1
0
0
2
0
0
8
8
8
0
0
0
32
0
0
8
8
8
0
8
8
6
6
6
28
8
8
24
0
0
0
0
0
0
8
4
16
8
8
16
2
8
0
8
16
16
16
16
32
32
0
0
0
0
32
0
0
8
32
0
17
17
4
4
4
0
8
16
16
8
8
8
16
8
8
0
0
0
0
16
0
0
8
8
8
1
2
0
0
0
0
0
0
18
18
1
8
57
8
4
4
0
2
2
2
2
2
2
2
32
32
32
32
16
16
2
2
2
2
8
8
8
8
8
8
8
3
0
0
9
9
2
2
0
8
0
16
0
0
0
16
9
32
32
0
0
1
0
0
0
1
8
16
16
16
16
16
0
1
1
20
20
0
0
17
17
8
16
8
0
0
16
0
1
16
8
8
0
2
1
57
57
0
2
2
2
0
0
4
8
16
16
8
0
16
0
0
0
9
9
0
1
0
8
6
0
0
16
4
4
0
0
0
16
0
0
1
0
0
8
16
0
0
16
16
2
0
0
4
16
16
16
8
8
9
9
16
8
24
8
8
16
4
1
0
0
0
0
0
8
8
48
24
24
24
0
0
0
24
2
4
4
4
0
0
0
0
0
16
16
0
0
0
0
0
4
4
0
0
0
0
1
1
0
0
0
16
8
8
0
4
0
0
0
4
0
0
2
2
18
0
0
0
8
0
8
0
0
0
0
0
0
0
24
1
1
1
1
1
8
4
4
0
8
16
0
0
0
0
0
16
16
8
0
0
0
0
0
0
12
8
8
8
0
0
0
16
0
29
2
16
16
0
0
0
0
9
8
0
8
8
8
8
8
8
8
0
0
0
5
5
4
4
0
0
8
8
0
0
2
2
0
4
48
0
0
48
0
16
16
8
0
0
0
0
0
4
4
8
8
0
0
16
8
8
1
8
8
8
0
0
8
0
1
1
0
8
1
1
16
16
8
0
0
0
0
0
2
2
2
8
8
8
0
0
0
0
32
32
0
6
2
0
0
8
0
4
4
0
0
16
0
2
20
0
0
0
0
0
1
0
16
16
16
8
2
2
8
4
8
8
8
8
8
8
0
0
8
4
4
20
16
16
8
28
28
0
16
16
8
4
4
4
0
0
0
0
0
16
22
1
8
8
16
16
0
8
0
1
1
16
16
8
8
1
1
1
32
16
4
4
16
16
8
0
0
16
0
2
4
4
8
8
8
0
16
1
1
0
32
32
14
16
40
0
8
8
8
4
17
0
1
11
11
11
11
0
16
0
0
0
0
16
32
32
32
32
8
8
8
0
0
0
9
21
21
21
21
21
4
16
8
32
32
32
32
24
8
2
0
0
0
8
8
8
0
16
16
16
16
16
44
44
44
0
0
0
20
20
20
8
0
0
1
1
1
0
16
16
16
16
0
1
1
0
4
4
4
4
4
0
1
1
1
1
2
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
4
0
16
0
1
16
24
20
20
0
16
8
9
1
1
1
0
2
0
0
0
4
4
0
16
16
0
4
4
4
6
24
50
34
1
1
1
2
0
8
8
0
26
8
8
0
0
0
8
8
0
0
0
0
0
0
0
8
16
8
8
0
1
16
16
8
0
0
8
0
0
0
16
16
8
0
2
0
0
0
0
2
0
0
0
2
0
0
8
8
8
0
0
24
4
4
16
9
9
16
0
0
0
0
0
0
0
2
8
0
24
0
0
1
1
8
0
6
4
0
0
0
1
1
1
1
0
8
8
8
4
16
16
8
8
8
0
8
0
0
8
1
0
0
0
4
8
2
2
2
2
2
9
8
8
0
0
8
17
8
8
8
8
4
4
8
8
16
16
2
0
0
0
0
0
8
8
16
4
0
0
0
8
8
20
8
0
8
0
16
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
8
8
8
8
0
0
0
0
0
0
0
0
2
2
2
2
0
0
0
8
8
0
2
2
17
17
0
0
1
0
8
21
0
0
0
0
4
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
4
32
0
32
32
32
8
8
0
21
21
21
0
0
0
0
0
0
0
0
0
0
0
0
1
8
8
2
0
0
0
8
0
24
0
0
0
16
16
16
8
0
0
0
0
0
0
0
16
16
1
1
8
4
4
4
4
8
32
0
0
0
0
0
0
8
0
0
0
16
16
16
16
16
0
0
0
0
0
0
0
0
0
0
0
5
5
1
4
32
0
0
11
0
0
0
0
0
8
8
8
8
2
0
8
8
0
0
0
0
0
0
8
8
8
4
4
4
0
0
0
16
16
16
21
8
8
9
9
0
16
16
16
0
0
0
0
2
0
0
16
16
0
0
0
1
0
0
8
8
8
13
13
1
0
2
2
2
2
16
0
16
0
0
0
16
8
0
0
0
0
16
16
0
0
0
8
0
0
0
3
1
1
1
1
8
8
0
0
0
0
16
0
0
0
0
8
16
2
0
16
4
8
8
0
0
0
0
0
0
0
8
8
8
0
0
0
4
8
16
16
16
0
8
0
0
0
0
0
0
0
0
8
8
0
8
0
0
0
16
16
0
0
16
0
0
0
0
0
4
16
16
16
0
16
0
0
0
0
0
1
1
8
8
0
0
0
28
0
0
51
34
16
16
3
8
0
16
0
16
0
0
4
4
8
2
0
8
8
1
1
2
2
0
0
0
0
0
0
0
0
0
16
16
2
1
8
0
0
1
0
8
8
16
0
0
2
8
0
17
16
0
0
0
8
0
0
0
0
0
16
16
16
16
16
16
0
0
16
16
0
0
0
5
8
16
8
0
0
0
16
8
16
16
0
0
0
0
8
0
2
0
0
2
4
0
0
0
0
1
16
16
8
8
2
0
0
0
0
2
8
8
8
1
8
8
0
18
18
18
18
8
9
4
4
2
2
0
2
8
8
8
8
4
4
8
8
8
8
0
0
16
16
0
0
0
0
0
0
8
16
0
16
32
32
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
32
0
0
1
4
4
4
0
1
0
0
8
24
0
0
0
0
1
1
1
8
8
2
4
0
17
0
32
8
32
16
0
4
1
1
8
8
0
8
2
2
0
16
16
0
0
0
0
4
4
8
20
32
16
0
8
0
0
8
8
8
4
4
8
0
1
1
8
8
0
19
19
0
8
16
16
16
16
16
2
0
8
16
16
0
16
0
0
0
0
16
16
0
1
2
0
8
8
8
0
1
1
8
16
2
2
2
24
16
8
8
0
26
8
1
0
0
16
0
0
16
0
0
0
16
0
0
0
2
0
0
8
8
8
0
16
0
1
0
0
0
8
0
20
16
16
16
16
0
0
0
16
9
9
9
16
8
8
8
16
8
0
4
0
8
8
16
0
8
8
25
0
8
8
8
0
0
8
28
1
1
16
16
0
0
16
8
41
1
1
4
4
0
0
0
6
6
17
0
0
0
0
0
0
0
0
0
0
2
2
0
2
2
16
16
8
8
8
0
0
1
0
48
24
0
0
16
50
0
0
0
32
0
0
16
16
8
40
8
8
8
8
8
8
0
0
0
0
0
24
24
1
1
16
16
18
8
0
0
0
28
0
0
0
16
0
0
0
0
0
0
0
0
4
0
16
16
8
0
16
3
1
0
0
0
8
1
1
0
0
0
0
0
8
8
0
0
0
0
8
8
8
16
16
24
24
0
8
0
0
2
8
13
13
13
8
8
16
0
0
0
0
0
0
32
0
0
0
0
32
8
16
16
16
16
0
24
16
16
10
10
8
0
16
0
0
0
16
1
16
24
1
1
1
8
8
0
2
8
0
0
0
4
8
1
29
29
29
29
16
16
16
40
0
8
0
1
0
0
4
1
16
0
0
8
8
8
8
1
8
8
8
8
0
8
20
20
0
0
0
32
32
32
1
0
16
16
16
16
16
16
16
0
18
18
18
18
16
16
16
16
0
0
0
0
0
16
8
32
16
16
16
16
16
16
4
4
4
4
4
24
0
16
16
4
4
16
2
16
16
16
0
0
0
0
2
2
0
16
16
16
16
0
8
0
0
16
16
16
0
16
16
16
0
0
0
0
0
1
0
0
0
16
16
16
0
0
0
0
0
8
2
2
0
1
8
1
16
16
0
8
2
2
24
16
0
0
0
0
8
0
0
0
0
0
0
0
0
4
4
8
16
16
0
8
8
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
2
4
0
0
1
16
16
16
16
16
16
16
16
16
20
20
20
1
1
0
0
0
0
0
0
17
8
8
4
8
0
0
33
22
22
0
0
0
0
0
0
0
1
0
0
0
2
16
0
1
8
0
0
0
0
16
0
16
0
0
24
1
16
16
0
0
16
4
0
16
0
16
16
4
24
24
0
2
2
2
2
8
0
0
0
0
0
1
0
0
0
0
0
0
0
0
8
4
0
20
1
1
2
2
0
0
0
17
17
17
0
0
8
8
1
0
0
0
0
0
0
0
0
0
8
8
8
8
8
0
16
0
0
0
0
8
6
25
25
0
8
0
8
0
1
32
32
32
2
0
0
4
0
0
0
0
8
0
0
17
1
1
8
0
8
8
16
16
16
16
0
0
0
0
0
0
0
0
32
0
2
2
32
16
8
2
2
2
1
1
8
1
1
16
16
8
16
16
16
4
4
0
0
8
0
8
0
0
0
0
0
16
0
0
16
0
4
0
0
1
1
16
4
4
4
4
1
1
1
16
0
1
1
1
16
0
16
16
16
0
1
0
0
0
0
0
0
4
4
8
16
16
16
16
16
16
0
0
0
2
2
2
0
16
4
4
0
8
0
0
8
16
16
16
16
16
12
12
0
16
0
0
16
0
6
8
4
0
0
0
12
12
4
6
0
8
0
0
0
16
16
8
8
0
0
0
2
0
8
1
1
1
10
2
0
0
0
18
6
0
8
0
0
0
0
8
8
16
16
1
16
0
0
0
8
8
8
1
2
2
2
24
0
0
0
0
0
0
0
0
0
20
20
20
8
0
0
20
18
0
8
0
0
0
32
32
32
0
8
16
16
16
0
4
0
0
4
16
16
16
1
0
0
0
16
16
0
0
0
48
8
8
2
2
4
2
2
0
28
1
1
1
16
0
5
5
0
8
0
0
16
16
16
16
0
0
0
0
0
0
13
13
13
0
0
0
8
0
12
12
4
32
0
20
0
0
0
0
0
0
8
0
16
16
16
16
0
0
0
0
4
4
8
16
24
0
0
0
0
0
8
16
8
16
0
24
0
4
4
8
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
16
8
0
4
4
16
16
0
0
24
0
0
16
16
0
25
16
16
8
16
16
4
0
0
24
6
1
1
0
0
0
16
16
0
0
8
0
16
16
16
16
8
16
16
16
16
0
0
0
0
0
0
0
0
0
0
1
16
8
32
0
8
0
16
16
8
8
8
0
0
0
32
32
32
16
8
24
8
8
0
0
8
0
0
0
0
8
0
0
58
8
4
16
0
16
0
16
1
0
0
0
0
6
16
0
19
19
19
19
19
0
0
0
0
0
0
0
8
16
16
0
0
8
0
1
1
16
16
8
8
16
16
0
0
2
2
0
0
20
8
8
0
0
8
8
8
0
0
0
8
8
0
0
2
2
0
0
0
0
0
1
8
8
8
8
8
8
8
16
0
0
16
24
24
0
0
8
8
16
2
2
16
0
8
8
8
8
8
8
8
8
8
8
8
0
4
4
4
4
4
8
8
2
0
8
8
16
0
0
18
0
0
0
0
8
16
6
6
6
6
6
6
6
16
1
1
0
0
0
8
8
16
1
0
0
0
0
0
0
8
8
0
0
0
8
8
8
4
8
16
4
4
48
0
0
0
8
4
0
0
0
24
24
5
5
4
0
0
0
16
16
0
16
24
4
4
21
12
0
0
0
0
0
30
8
8
0
0
16
16
0
0
0
16
0
0
0
0
8
0
0
0
0
8
0
4
4
0
0
16
0
2
0
2
2
2
16
4
4
0
4
0
0
0
8
8
3
8
0
0
0
8
16
0
0
0
8
8
8
0
16
16
16
16
16
0
8
1
0
0
8
8
8
8
0
0
0
1
4
4
16
16
16
16
0
16
16
16
1
8
16
0
8
1
1
16
16
2
0
0
0
0
8
0
8
8
0
0
4
8
16
0
2
2
2
2
4
4
4
8
0
8
8
40
8
8
8
0
0
0
0
0
0
0
0
0
20
16
16
8
8
16
8
7
16
8
16
16
16
0
17
17
16
2
0
0
0
0
0
0
0
16
16
8
8
8
0
16
0
50
50
0
0
0
8
4
4
0
0
10
0
0
25
25
25
25
1
1
16
16
24
2
1
0
1
1
0
0
0
0
2
1
18
18
18
0
0
0
0
2
2
0
0
8
8
16
16
16
0
0
16
0
0
8
8
4
4
0
0
0
4
4
16
16
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
8
5
16
24
16
16
16
16
16
16
16
0
0
0
8
16
16
8
8
8
8
8
16
41
41
16
0
0
16
16
16
16
0
0
16
16
2
0
0
8
8
8
8
8
8
0
0
0
0
8
0
0
0
16
30
30
30
0
0
0
0
0
0
0
20
20
20
1
1
1
8
1
1
1
1
1
1
8
8
8
8
24
16
16
8
0
16
16
16
0
0
0
0
12
12
12
12
4
4
0
2
2
2
2
44
8
2
2
8
1
1
0
0
0
17
10
0
8
2
2
2
2
8
8
8
0
8
4
0
0
0
0
1
1
0
8
8
2
1
16
16
16
16
16
17
0
0
0
16
16
16
40
1
49
12
25
16
0
8
8
28
28
28
0
0
0
4
0
16
1
1
0
0
0
16
24
0
8
0
8
8
0
16
16
16
4
4
4
16
8
8
0
0
8
0
8
8
8
4
4
4
4
8
1
16
0
38
24
16
16
8
8
8
8
4
0
16
33
33
33
0
0
4
0
16
4
8
0
0
0
0
0
0
8
8
8
8
4
4
0
0
0
8
0
0
0
9
9
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
16
16
32
32
8
0
0
0
16
8
8
8
8
24
18
2
16
16
1
0
4
1
8
0
24
24
1
0
16
16
16
4
0
0
0
16
8
16
32
0
0
0
16
16
0
8
16
0
0
18
4
31
0
0
0
31
4
2
0
16
0
8
2
0
0
0
0
0
16
16
16
24
16
16
16
1
8
0
0
32
32
0
0
4
4
4
8
8
16
1
8
1
1
1
8
0
0
32
32
8
34
34
0
20
16
8
0
0
1
16
8
0
0
1
0
0
0
0
0
0
8
0
0
0
8
8
8
8
8
8
8
0
16
16
16
0
2
8
9
8
16
4
4
0
2
0
3
8
8
16
0
56
28
0
0
0
16
16
0
0
4
0
0
0
0
2
2
48
48
48
16
16
8
4
4
4
8
8
8
8
8
8
42
8
8
8
8
4
8
8
16
16
8
1
0
32
9
9
16
16
0
4
8
0
0
0
0
1
8
0
0
8
4
4
4
4
4
1
1
1
0
8
0
33
33
20
0
33
33
33
4
48
48
48
48
2
8
4
0
0
0
32
32
10
0
0
0
24
0
0
0
0
16
0
0
0
0
0
0
10
10
8
8
0
0
16
0
32
0
0
8
16
16
0
0
8
8
0
0
0
24
24
0
0
8
8
8
8
8
8
0
8
8
0
8
16
16
0
0
0
1
1
1
0
8
0
16
0
2
0
0
0
0
0
8
1
3
2
0
8
0
0
2
0
0
17
17
32
16
0
0
0
12
6
8
0
0
16
8
16
0
0
0
16
48
0
0
8
8
8
8
8
8
0
5
0
8
24
0
0
0
8
0
8
8
0
0
0
4
1
0
0
2
8
8
8
0
8
8
6
0
0
12
6
16
16
8
16
8
2
2
2
0
0
0
16
8
0
0
1
1
0
8
0
0
8
0
0
0
0
1
1
1
0
16
8
16
16
8
8
8
4
8
16
8
8
4
4
0
0
0
0
4
0
16
0
2
0
16
0
0
0
0
0
0
1
2
2
1
1
8
0
16
0
10
4
1
16
0
0
0
8
0
8
8
0
0
0
0
8
0
0
0
0
8
1
8
8
16
16
16
0
0
0
0
8
8
8
16
16
2
16
56
8
8
8
0
44
0
0
0
20
8
2
0
0
0
16
0
0
8
0
2
0
16
16
16
16
16
8
0
0
0
0
16
0
0
0
0
0
2
0
0
2
0
0
8
8
0
0
0
8
8
0
8
8
8
8
16
1
1
1
4
8
28
0
0
8
8
8
24
2
2
2
2
0
0
8
8
0
4
14
14
6
0
0
0
16
16
4
0
16
0
16
16
4
9
9
9
0
20
20
0
0
16
8
8
1
16
10
10
10
8
0
0
26
26
26
4
0
0
8
8
8
8
8
8
8
0
8
0
0
4
2
2
2
2
16
8
8
8
0
0
0
0
0
8
0
0
0
0
0
8
8
16
8
0
17
16
1
8
8
0
0
16
16
16
8
8
8
8
0
8
0
16
16
0
0
16
16
32
0
0
0
0
0
0
0
0
0
0
1
16
8
0
16
16
0
8
0
16
16
16
16
8
8
4
4
4
1
1
1
24
0
8
38
1
16
16
16
16
6
6
2
0
0
0
0
0
8
16
1
4
0
0
0
16
0
16
16
1
2
2
2
2
8
16
0
4
8
0
0
0
0
0
8
16
16
4
4
4
4
4
4
4
4
4
8
1
16
16
16
16
16
16
16
16
2
2
2
0
20
20
0
0
8
12
0
0
16
16
16
32
40
2
16
0
0
32
0
0
0
1
1
0
0
0
0
0
8
0
0
0
8
8
8
16
12
2
8
8
8
0
0
16
8
0
5
1
1
0
16
16
0
0
0
0
16
0
0
0
0
8
8
1
1
1
0
1
1
8
8
0
0
4
4
0
2
0
0
32
32
0
32
8
8
8
4
16
0
0
8
24
16
0
0
0
0
0
0
0
24
16
16
8
24
0
0
0
32
8
8
8
8
8
8
0
8
0
0
8
8
16
0
0
0
0
16
16
0
2
0
8
8
4
4
8
16
0
40
8
8
0
0
0
8
8
32
8
8
8
16
16
16
16
0
0
8
0
16
16
0
0
0
8
8
0
10
10
0
4
4
16
24
2
0
8
16
16
2
0
0
0
16
24
0
0
16
16
0
16
8
8
8
0
0
0
0
8
0
40
0
0
17
17
0
4
0
0
8
8
0
0
0
8
16
16
16
0
0
0
1
8
8
16
16
0
8
8
0
8
8
8
2
8
8
0
0
0
8
4
8
8
8
8
8
0
8
16
4
0
0
0
0
0
16
16
16
16
16
16
16
16
16
16
8
0
0
48
8
8
8
16
1
8
0
8
16
16
16
16
10
8
8
8
0
38
38
38
38
16
0
16
16
2
2
0
0
8
8
8
4
4
0
16
0
0
8
2
2
2
2
2
0
4
4
4
8
10
8
4
4
4
0
0
0
0
0
8
8
8
0
24
8
8
25
28
0
0
0
16
0
0
1
1
1
8
8
8
8
16
0
0
0
0
0
0
0
4
0
0
24
16
16
0
16
0
0
3
3
0
4
4
4
4
4
4
4
0
8
0
8
1
1
1
16
8
0
8
8
0
16
0
0
0
8
8
8
0
0
0
0
0
0
8
8
32
0
0
0
16
16
4
4
8
8
8
4
16
16
0
0
0
0
0
8
16
16
16
16
16
16
0
8
8
8
0
1
16
32
17
17
8
8
8
8
8
8
8
1
1
1
1
0
8
8
4
8
40
40
40
0
0
0
0
0
1
16
8
8
8
0
8
0
16
8
0
8
8
1
1
0
0
8
32
18
0
0
0
0
0
0
0
0
4
0
0
8
0
16
5
0
8
24
48
4
4
16
16
0
20
20
20
0
0
8
4
8
8
0
8
0
0
24
0
16
16
16
8
0
2
16
16
16
16
0
0
16
8
0
16
16
16
0
0
0
8
8
0
0
2
0
16
0
2
2
0
0
0
0
0
0
8
8
8
8
0
0
0
0
16
48
2
2
0
0
16
16
2
8
8
20
0
0
8
8
0
18
9
9
16
17
17
0
8
0
0
0
0
4
4
4
4
0
0
0
0
0
7
7
0
3
4
4
0
8
16
0
0
0
20
20
20
0
16
16
0
0
0
16
16
0
0
16
8
0
0
4
4
16
16
16
16
16
16
16
2
8
8
4
57
0
4
4
4
4
4
4
4
16
2
0
16
16
12
34
8
8
0
4
49
49
2
8
16
0
0
0
3
3
42
42
0
0
8
8
4
4
4
8
16
4
0
0
0
0
1
1
8
0
24
16
16
0
0
0
8
8
4
0
40
0
0
1
1
12
4
4
0
0
2
0
0
0
0
0
16
2
2
2
10
8
16
8
1
1
0
0
0
0
0
0
0
8
8
8
2
16
16
16
16
16
2
2
2
2
16
16
16
8
8
8
8
6
8
0
8
0
0
16
16
16
8
8
8
33
32
1
1
0
2
2
2
1
18
18
18
18
18
18
0
2
0
0
0
0
0
0
0
9
17
17
17
17
17
17
16
0
0
8
8
8
8
8
8
0
0
0
0
4
1
1
0
0
0
8
40
40
40
8
4
4
48
48
48
48
8
8
0
0
8
0
0
16
0
16
56
24
8
2
2
2
0
16
16
2
0
16
16
8
8
8
8
8
8
16
8
24
16
16
16
16
1
34
34
16
0
0
8
2
2
2
2
2
4
4
4
4
4
0
0
29
2
24
16
16
0
8
0
0
6
0
0
0
0
0
0
16
0
1
32
32
0
24
1
0
0
0
0
0
0
6
0
16
0
0
0
0
0
0
4
0
8
0
21
8
32
16
16
16
16
16
4
24
24
24
16
0
0
0
0
0
0
16
16
16
16
16
16
16
1
0
24
0
0
0
0
0
32
32
1
0
16
4
4
1
16
16
16
16
20
8
0
0
1
0
0
0
0
1
0
0
4
4
0
0
32
4
0
8
8
0
16
16
0
0
0
0
0
0
1
8
0
0
0
16
16
16
16
1
1
1
0
0
16
16
0
19
0
24
24
24
9
16
0
8
16
0
0
16
16
16
16
8
8
8
8
0
8
0
0
1
1
1
8
4
0
0
0
0
0
0
8
17
8
0
0
2
16
16
0
1
16
0
4
4
4
16
16
16
16
16
16
40
40
40
20
20
20
0
0
4
4
0
0
8
32
32
0
0
4
12
24
24
16
16
0
0
8
8
8
8
8
8
0
1
1
1
4
8
0
0
0
0
0
0
0
0
0
8
8
8
9
0
0
0
0
0
0
0
58
58
24
0
32
0
1
16
8
9
16
0
5
5
8
4
4
0
0
8
1
0
0
8
2
2
0
8
8
8
8
0
0
8
0
2
8
16
0
4
0
0
0
0
0
0
2
2
2
2
18
18
18
0
2
8
2
0
0
16
28
8
0
16
0
0
0
0
0
24
0
0
0
8
8
0
0
0
0
0
20
20
24
16
48
6
6
2
2
8
2
8
0
0
16
8
0
8
16
6
4
0
0
0
0
0
0
8
8
16
16
8
0
0
0
4
8
0
0
8
8
8
0
0
16
16
32
0
0
0
0
1
0
16
16
16
16
16
0
0
0
16
0
0
0
16
0
0
8
0
0
0
0
1
20
16
8
0
16
0
2
2
4
8
1
1
1
1
1
1
16
0
1
8
8
8
8
24
8
0
17
4
0
20
4
2
2
8
8
0
24
8
8
8
2
4
16
0
0
16
16
0
8
8
16
16
16
32
24
0
8
8
8
8
0
0
0
32
0
8
8
8
16
6
6
6
6
6
6
4
24
0
0
0
0
8
8
8
0
8
0
24
0
8
8
0
0
41
41
0
8
8
8
8
16
16
16
12
0
0
0
4
8
8
0
0
0
0
17
17
0
1
16
16
4
32
0
8
8
17
17
0
8
1
9
33
8
8
8
16
16
8
8
8
8
0
8
8
0
0
2
2
0
0
0
0
16
0
0
8
8
16
8
7
7
16
16
1
1
0
16
16
25
0
8
8
8
16
8
9
16
1
12
4
16
16
4
4
1
6
6
8
16
8
8
8
0
0
16
16
16
16
16
0
0
16
16
16
16
4
0
0
16
16
16
8
8
0
28
28
16
0
0
8
8
16
0
1
1
1
8
8
8
4
4
0
0
12
0
0
0
4
4
4
33
1
8
0
0
2
0
0
8
8
8
8
8
4
0
0
0
0
16
8
8
16
8
0
0
0
0
1
1
1
8
0
0
0
0
0
0
0
20
8
0
0
0
0
0
0
8
17
0
0
8
32
0
8
0
33
8
8
1
0
0
0
0
8
0
1
8
8
8
8
37
0
0
0
16
16
0
8
0
0
4
4
0
0
0
0
0
0
1
0
16
16
16
0
20
0
0
0
0
0
1
16
24
2
0
16
8
42
42
16
25
16
2
6
8
0
8
48
2
0
0
0
0
0
8
8
0
16
0
22
22
0
16
16
2
0
16
8
2
2
0
0
4
8
0
16
1
16
12
12
4
4
4
4
2
24
16
16
0
0
0
0
0
8
8
8
8
5
16
8
0
16
0
0
0
0
8
0
0
0
16
16
0
0
0
0
8
8
2
8
8
8
0
0
16
8
4
0
0
8
8
8
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
8
1
4
0
0
0
0
0
16
24
4
4
0
37
0
24
0
2
8
8
8
8
0
0
4
0
0
0
2
2
0
4
8
24
8
0
0
0
1
0
8
24
0
8
8
8
8
17
0
16
4
4
4
4
0
4
0
0
0
0
16
16
0
2
8
10
2
20
20
8
8
0
0
0
32
0
0
4
8
0
16
16
16
0
0
8
25
1
16
8
0
0
0
0
1
0
0
0
0
0
8
16
32
32
0
0
0
0
0
8
8
10
0
0
0
8
8
19
1
8
16
16
16
16
1
1
0
0
1
8
0
0
20
20
16
9
8
0
1
0
0
0
4
8
16
48
0
0
0
4
4
8
8
8
8
8
8
8
0
0
16
16
16
2
2
0
0
0
10
8
0
0
0
0
0
0
0
0
16
0
19
8
4
2
16
1
1
1
0
0
0
0
4
16
16
0
0
0
0
0
0
0
0
16
32
16
0
8
8
4
8
8
0
2
2
0
18
0
1
16
0
0
0
24
0
0
16
16
2
16
16
32
8
4
4
4
0
1
2
2
2
4
4
0
4
0
0
8
8
1
17
17
17
17
0
8
8
8
0
1
1
16
0
0
0
0
0
0
0
0
4
16
10
16
0
4
8
8
16
8
8
8
0
32
0
0
2
12
1
1
1
0
16
2
2
2
24
24
24
2
16
4
16
8
8
0
16
26
8
16
0
0
0
8
16
20
20
20
20
0
24
4
4
4
8
8
0
0
33
33
33
33
33
8
8
0
8
16
0
0
1
1
28
8
0
8
0
8
4
16
16
16
0
8
2
2
2
8
2
1
0
0
16
0
0
4
0
0
1
16
16
0
0
0
8
2
8
32
32
0
25
25
25
25
25
25
25
25
25
25
0
0
4
0
0
0
0
0
0
0
1
1
24
8
8
8
0
0
0
0
16
16
1
0
0
0
33
33
0
0
0
16
16
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
8
0
8
0
0
0
8
8
16
16
0
0
16
2
2
2
0
0
16
16
16
0
0
0
0
0
16
0
0
0
8
8
8
8
20
0
24
14
0
24
16
0
0
32
32
32
0
0
0
0
0
0
8
4
4
4
8
8
0
0
8
8
0
0
0
0
0
8
16
8
8
8
8
8
8
8
0
0
0
12
12
16
16
16
16
4
8
0
16
0
16
0
16
4
0
0
0
16
16
4
4
8
3
0
0
0
0
8
10
3
0
0
0
0
0
0
8
8
16
8
8
16
16
0
0
0
16
16
0
0
0
0
0
17
17
17
10
1
16
2
2
0
7
0
8
8
0
0
0
2
0
0
1
1
0
16
0
1
1
1
16
0
0
2
0
37
2
48
16
16
16
0
0
0
0
16
16
0
0
2
2
2
0
0
0
8
8
0
0
1
0
2
2
8
8
40
40
40
0
12
8
2
0
0
16
16
16
16
18
18
8
0
16
8
0
3
0
32
0
41
0
0
2
24
6
8
8
1
0
4
4
0
8
0
0
8
8
8
0
0
10
10
16
0
9
9
0
0
0
16
24
24
8
16
0
0
2
2
16
8
8
8
8
8
8
8
8
8
0
0
0
0
0
1
8
32
32
32
0
8
8
8
2
8
8
8
8
0
0
16
41
0
0
0
0
0
0
0
8
2
2
16
16
8
16
0
0
0
0
16
16
0
8
8
0
0
0
1
16
16
0
0
16
16
16
0
4
4
0
8
8
1
1
0
0
0
16
32
17
17
0
0
0
16
8
8
0
0
4
0
0
0
0
8
20
8
18
8
8
8
24
8
0
0
35
4
4
16
0
0
0
0
0
0
8
12
1
1
8
8
4
48
48
48
48
10
0
2
0
0
0
0
0
0
0
4
0
0
0
0
8
0
4
4
2
20
8
0
0
0
0
0
0
0
1
1
14
0
1
1
5
8
4
4
4
25
0
0
8
8
20
20
20
20
0
0
0
0
12
8
8
8
8
16
16
8
24
0
0
16
8
8
16
0
0
9
8
0
0
0
0
8
17
0
0
3
3
8
16
8
8
8
0
0
0
0
0
8
8
8
32
18
4
4
4
4
0
0
48
4
18
18
0
0
8
8
29
8
8
8
0
0
0
0
0
0
8
0
0
2
8
16
16
16
16
1
1
4
4
0
0
2
0
20
16
0
4
0
1
37
1
0
16
1
1
1
1
0
16
16
16
16
24
24
0
8
0
0
0
0
1
1
32
32
8
8
8
8
8
16
0
1
4
4
4
16
8
0
32
57
16
16
16
0
8
0
16
16
0
40
0
0
1
1
4
4
4
2
2
2
2
8
6
6
6
6
6
6
6
6
6
6
6
6
6
6
16
16
16
0
0
0
0
16
8
8
8
0
0
16
8
0
0
1
16
16
16
16
16
16
16
16
0
16
16
0
0
8
0
0
0
0
0
0
20
20
16
0
0
8
0
8
16
16
0
0
0
0
0
16
16
16
8
10
4
4
0
0
24
0
0
0
0
0
8
1
16
0
0
0
0
0
48
48
32
40
40
40
40
28
28
28
0
8
8
1
8
0
0
0
60
17
17
17
32
32
4
8
0
0
0
4
8
0
8
32
8
0
0
0
0
0
8
20
0
0
8
0
8
8
0
8
16
1
16
50
0
8
0
22
22
22
22
22
16
0
2
2
4
4
0
0
16
0
0
0
0
8
0
0
4
0
8
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
16
16
8
2
0
0
0
0
8
0
8
8
0
8
24
24
0
0
0
0
16
4
4
0
0
0
16
1
4
8
16
8
16
8
39
0
1
1
17
2
8
8
0
0
0
0
16
0
34
2
2
2
0
8
24
24
8
8
8
0
0
16
16
16
1
5
0
1
1
1
1
4
4
0
0
0
8
8
8
58
0
0
0
8
8
0
0
0
0
0
0
0
8
0
0
8
8
16
8
8
8
8
32
32
8
0
8
8
0
0
8
16
16
0
0
0
0
16
16
0
24
20
20
20
20
20
0
0
0
0
0
2
6
8
0
16
8
0
0
0
4
16
16
16
16
8
8
8
8
0
8
8
8
16
32
8
8
0
0
0
24
16
0
0
0
8
8
8
0
0
0
4
1
0
0
16
16
16
0
2
2
8
8
0
8
0
0
0
8
0
0
2
2
2
16
16
4
12
24
20
20
16
16
16
0
0
17
16
0
20
20
1
1
1
4
0
0
0
0
0
0
8
8
4
4
8
8
8
8
0
0
0
0
4
4
0
0
0
0
0
0
52
2
16
16
16
48
0
0
16
16
4
16
16
0
16
16
0
0
0
32
0
16
16
16
16
16
8
1
1
0
8
8
8
8
0
0
8
8
8
8
18
18
18
18
8
4
4
16
8
8
8
0
0
0
0
16
0
16
16
16
4
0
4
16
0
32
0
16
16
16
16
0
0
0
0
16
16
2
2
16
0
0
16
8
8
1
4
1
1
0
0
0
16
16
0
16
16
6
0
8
1
1
40
40
4
8
8
8
0
0
0
8
0
16
32
32
0
0
0
0
1
0
24
0
0
0
1
26
0
28
9
9
0
0
0
8
8
16
16
16
16
16
16
16
16
9
0
16
0
0
16
0
0
0
0
0
0
0
18
2
0
0
0
16
16
24
0
0
0
16
1
1
1
1
0
8
0
8
8
21
21
0
8
1
4
16
0
0
8
8
8
8
6
0
0
8
16
0
0
1
1
1
1
0
0
41
0
0
0
8
24
24
24
8
8
56
40
8
0
16
16
8
8
0
0
0
0
16
16
16
16
16
16
16
0
0
0
8
0
0
0
0
0
8
0
0
0
0
2
8
6
0
0
0
0
16
16
4
4
4
4
24
0
0
12
8
0
0
8
8
8
0
0
0
8
0
4
4
4
0
0
8
8
30
30
4
0
0
4
8
8
8
16
0
2
8
8
8
8
6
8
0
0
0
0
0
0
16
16
8
0
8
4
16
16
13
13
8
9
0
0
32
16
16
24
0
1
8
8
8
0
0
8
8
16
16
16
0
0
0
0
4
4
0
0
0
4
0
0
0
16
16
16
16
16
0
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
4
32
32
1
4
0
0
0
0
1
24
8
16
0
8
8
8
8
12
0
8
8
8
8
1
1
1
0
0
16
16
16
16
0
0
0
0
2
0
0
8
8
8
8
12
0
0
0
0
8
8
8
0
0
35
35
35
35
0
0
0
16
16
16
4
8
1
16
0
0
16
0
0
0
0
2
2
0
16
0
0
0
0
0
0
0
8
2
2
2
4
2
0
0
0
0
0
0
16
8
8
1
1
24
8
16
0
0
8
8
0
0
0
0
0
10
0
0
8
16
16
0
8
32
32
32
32
0
0
0
8
8
8
8
1
1
4
4
8
20
4
0
0
16
1
16
16
12
12
0
0
0
18
0
0
8
16
16
8
8
16
16
16
0
8
0
0
0
0
0
0
0
32
8
0
0
0
4
0
29
42
42
42
0
2
0
0
0
0
32
32
48
48
48
48
0
0
8
8
0
0
0
19
0
0
0
8
0
0
0
18
8
8
8
8
8
0
16
0
8
8
8
8
8
8
32
32
8
0
0
0
0
8
8
8
8
0
0
0
1
0
8
8
4
8
8
8
0
0
0
16
16
8
1
16
16
0
0
0
8
8
12
12
12
8
8
8
0
0
0
8
21
0
0
0
4
20
0
0
0
0
0
0
0
0
0
0
0
0
0
0
34
1
0
0
2
2
0
4
4
0
40
40
40
40
0
0
0
24
2
2
2
2
2
0
1
0
16
18
0
8
8
8
20
20
20
0
0
0
5
8
17
0
1
8
4
1
12
16
0
4
20
8
0
0
0
0
0
0
8
8
0
4
0
0
4
4
4
8
0
0
0
8
8
8
8
8
8
1
0
8
0
0
0
13
13
13
16
1
8
10
2
0
0
0
0
0
16
8
8
8
8
8
8
0
0
4
4
0
4
0
0
24
8
8
8
8
8
8
0
0
0
0
0
0
8
1
17
8
0
28
0
16
0
0
0
0
16
1
0
0
0
1
1
16
1
8
0
16
16
8
0
5
0
8
8
16
16
12
8
8
8
8
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
33
33
33
0
0
8
0
0
28
0
0
0
0
0
0
8
0
16
0
0
0
0
16
8
0
0
0
0
16
16
0
8
16
0
8
0
8
8
0
4
8
8
8
28
28
4
4
0
0
29
28
28
8
8
8
8
8
24
0
0
16
0
0
0
4
0
2
0
8
1
16
16
0
0
0
0
0
0
0
0
1
4
8
8
8
16
0
0
8
16
16
0
8
0
0
0
0
0
0
0
8
16
16
4
0
0
8
8
4
0
0
16
16
16
16
16
16
0
16
32
32
0
1
16
16
2
0
1
2
0
0
20
0
8
0
0
0
0
8
8
8
8
0
0
4
4
32
32
32
32
32
16
16
16
16
16
16
16
0
0
16
8
8
0
0
0
0
0
0
0
13
8
8
0
0
0
12
13
13
13
0
0
8
8
8
8
0
0
0
0
16
0
0
0
16
0
0
16
0
0
1
1
0
0
8
8
8
8
0
0
0
0
0
0
4
4
4
16
16
4
4
0
8
32
16
32
32
8
0
16
16
0
0
0
0
39
39
0
1
1
8
16
0
16
16
16
0
16
16
16
8
21
0
8
1
0
0
8
24
0
8
8
8
32
32
16
16
16
0
0
8
8
8
8
0
0
0
1
3
1
0
16
16
0
0
0
0
0
16
19
19
57
16
0
0
0
16
0
0
2
1
1
9
9
0
0
8
8
8
0
8
4
12
39
17
8
8
32
32
0
0
0
20
0
8
16
18
18
16
16
16
0
0
0
10
10
0
0
8
16
16
18
0
8
8
8
0
0
1
1
1
20
32
16
16
16
0
8
16
0
0
0
8
4
20
20
16
3
3
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
40
0
0
8
8
8
8
8
8
8
8
16
16
16
16
0
4
4
6
2
2
1
32
24
0
0
0
16
8
0
4
4
0
8
8
9
16
16
0
8
2
2
0
0
0
16
8
8
0
0
0
0
0
0
0
16
16
16
24
8
0
0
0
0
16
16
16
16
0
0
0
0
8
8
17
4
8
8
2
2
16
16
16
8
8
0
0
8
8
8
0
0
0
0
0
0
0
12
12
12
8
33
33
1
1
8
0
0
4
4
4
4
8
8
8
0
0
1
0
16
2
0
0
8
8
20
20
20
20
0
8
0
17
0
0
16
16
8
8
0
0
0
0
8
8
0
8
8
16
0
16
8
16
0
0
0
0
8
8
8
8
8
8
8
8
0
8
8
16
0
0
8
32
0
0
0
8
8
8
0
1
1
8
0
0
17
17
17
17
17
8
8
0
8
0
0
16
16
20
6
6
6
0
0
0
36
16
4
9
9
9
8
0
4
4
4
4
0
16
0
0
16
32
32
0
0
16
16
16
16
16
0
0
0
0
0
32
32
8
8
1
0
0
0
8
8
16
0
0
0
8
8
0
0
0
2
8
1
1
1
32
8
8
8
8
8
16
16
0
8
16
56
0
1
24
24
0
8
8
8
0
4
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
25
25
25
0
0
24
16
16
16
0
0
17
17
0
0
0
8
8
0
0
8
8
16
0
8
8
24
0
0
0
56
32
24
4
24
4
4
0
9
4
2
1
1
1
1
1
32
0
0
0
17
16
16
16
0
0
0
16
8
16
16
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
8
4
4
2
2
2
2
0
0
0
0
8
0
0
20
4
8
8
3
0
0
0
0
0
16
0
8
8
1
1
0
0
0
0
8
8
8
8
0
0
16
4
4
32
0
0
0
24
1
57
57
57
8
8
8
8
8
8
8
8
8
8
0
0
8
24
16
8
8
8
8
0
0
0
8
0
1
1
0
0
0
8
16
0
0
0
11
0
16
24
0
4
4
4
0
33
4
8
10
1
0
24
24
16
32
32
0
4
0
4
4
0
0
8
8
8
8
1
8
0
0
1
1
0
0
0
16
8
8
8
0
1
2
2
30
30
0
8
8
4
0
16
0
0
0
16
2
5
5
4
0
8
0
0
0
0
0
0
0
0
0
4
4
16
56
56
56
0
0
8
4
4
4
4
4
0
0
0
0
16
6
2
2
2
4
4
0
0
0
4
4
16
16
16
8
8
8
8
4
4
4
4
0
0
0
0
0
16
16
2
4
4
0
16
8
0
0
0
8
0
0
2
24
24
16
16
8
1
0
0
0
8
10
0
0
0
16
16
0
17
4
4
4
1
9
1
0
0
0
16
16
16
16
0
0
11
1
16
16
8
8
8
8
0
0
0
25
8
8
8
16
8
8
0
0
1
0
1
9
1
16
0
8
0
0
26
26
16
16
12
8
0
0
16
16
0
0
8
0
0
0
8
24
4
8
8
1
1
1
1
16
0
24
24
0
0
16
4
0
24
32
0
4
0
2
0
0
0
16
0
20
8
8
16
8
8
16
16
0
16
16
16
16
16
20
32
0
1
1
16
16
16
0
0
0
0
0
0
0
0
0
16
16
16
0
0
0
0
0
0
24
2
2
0
0
0
0
2
2
8
16
4
12
12
12
16
12
12
8
16
16
1
24
0
40
8
8
2
3
1
18
16
16
4
4
4
0
33
33
33
33
0
2
2
8
16
16
16
16
16
16
12
12
8
8
8
0
0
0
0
0
8
32
32
0
0
2
2
2
2
2
4
4
16
16
16
0
0
1
1
1
2
2
2
2
8
1
1
8
8
0
0
1
1
16
0
8
25
8
8
8
8
8
0
9
0
0
0
8
0
0
0
0
0
0
0
14
8
0
8
8
8
8
0
0
8
16
0
0
0
0
4
0
0
0
32
16
16
24
17
8
16
0
17
0
0
4
24
24
16
16
16
16
0
0
0
16
16
16
2
2
8
8
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
1
16
16
0
0
0
16
8
0
0
0
8
32
2
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
1
0
8
0
4
4
1
16
0
2
2
0
0
0
4
16
0
8
8
8
0
16
0
0
0
0
8
0
0
8
0
8
4
0
0
8
8
8
16
20
16
16
16
0
0
2
0
0
4
4
0
16
16
8
8
16
16
8
8
16
0
4
8
8
0
8
32
0
0
0
20
0
16
0
0
0
0
16
16
0
32
32
0
16
1
8
1
0
16
16
8
4
4
4
16
16
0
8
8
8
8
8
4
0
16
16
4
4
4
0
0
16
16
24
24
16
16
0
16
24
0
2
2
0
0
1
1
1
4
2
16
8
0
10
0
0
24
24
0
0
16
0
0
0
0
8
11
11
11
11
0
16
16
0
0
16
16
16
16
16
16
8
0
6
0
0
0
0
8
8
2
16
0
0
8
32
4
8
32
32
32
0
1
0
0
0
0
0
0
0
20
20
4
0
8
16
2
6
0
0
20
16
0
0
0
0
16
16
0
0
0
0
8
0
8
8
8
32
16
0
4
4
8
8
1
0
8
0
0
0
0
0
8
8
8
8
32
24
0
0
16
16
4
4
4
4
0
8
8
8
24
8
0
0
0
0
18
18
8
32
0
8
0
0
16
0
1
8
8
8
0
0
0
0
0
0
0
0
8
8
8
0
0
16
0
0
48
48
24
4
4
8
0
0
0
16
16
16
4
4
21
1
1
1
16
16
0
0
0
0
16
20
16
4
4
16
2
2
8
20
0
0
0
0
4
8
8
8
0
0
0
0
0
0
0
16
16
16
16
16
0
8
8
8
8
0
0
0
16
16
13
0
0
0
16
1
1
13
4
2
2
0
0
8
1
0
0
8
8
8
6
2
2
2
2
0
0
0
0
0
8
8
8
8
8
8
8
0
0
0
0
0
0
1
0
0
11
11
8
24
24
0
0
0
48
57
16
16
16
8
0
16
0
8
24
16
32
32
0
4
4
8
0
0
16
17
0
0
18
16
16
16
16
17
13
8
4
16
16
0
0
32
0
0
8
14
14
14
8
0
0
16
16
16
16
0
8
0
0
0
8
8
8
0
0
28
28
0
8
8
4
4
8
8
8
4
8
0
8
2
8
24
16
16
0
1
0
0
10
0
0
1
0
8
32
32
1
8
4
0
0
0
16
0
0
0
0
8
0
0
8
8
8
8
0
0
40
40
40
40
40
40
40
22
16
16
16
16
16
16
16
16
0
24
0
16
8
16
16
16
8
16
0
8
8
8
8
8
0
0
8
8
8
8
0
0
2
13
13
13
0
0
0
0
0
0
0
0
2
4
0
0
16
8
8
8
8
8
8
8
8
8
8
8
8
8
8
1
1
60
16
16
16
16
16
16
16
16
16
16
28
28
16
16
8
8
16
0
8
8
1
1
1
1
1
16
16
0
0
0
0
0
24
0
0
0
0
0
0
16
16
8
20
4
16
0
10
4
16
0
2
8
0
0
0
8
0
0
0
1
8
8
16
16
16
0
0
0
3
3
0
0
24
0
0
0
0
0
1
16
16
16
8
8
4
8
0
2
2
2
2
0
8
8
1
9
8
0
0
0
0
0
0
0
16
0
16
8
8
8
0
9
8
0
0
8
24
42
0
0
16
16
24
24
4
20
20
16
0
0
16
16
0
0
17
8
8
0
8
8
8
8
8
8
0
4
0
0
0
40
8
32
16
8
1
16
16
0
9
9
0
0
0
0
0
1
32
16
16
16
0
8
8
8
8
8
5
5
0
0
8
8
8
8
0
16
0
0
16
16
2
16
8
8
1
1
0
8
0
16
2
2
24
0
8
8
4
4
0
4
5
4
4
0
0
8
8
19
19
19
1
4
0
32
0
0
0
0
0
0
0
16
16
0
0
0
1
1
8
0
8
8
8
8
8
8
8
8
8
2
2
8
0
1
1
1
1
0
0
0
0
8
8
2
2
2
2
2
2
2
2
0
8
8
4
40
0
0
0
16
8
12
12
12
4
1
1
1
16
0
0
16
16
16
16
4
4
4
0
0
0
2
0
32
32
0
0
0
8
4
1
1
1
8
0
0
0
8
0
0
0
20
4
0
16
0
0
16
16
16
8
8
0
28
16
4
0
0
8
16
16
16
1
19
19
19
19
19
0
0
0
0
0
0
0
24
2
0
17
17
17
0
0
2
0
0
0
1
32
32
32
8
8
8
1
2
2
32
0
8
8
0
0
0
0
8
0
0
16
16
16
8
8
26
18
41
16
0
8
8
8
8
8
0
16
1
1
0
0
0
0
8
0
8
8
0
0
0
0
0
0
0
0
8
0
0
2
49
0
0
8
16
2
0
16
24
8
8
8
8
28
28
16
32
32
32
8
4
0
8
28
28
0
0
8
0
0
8
8
8
49
8
0
0
0
24
8
0
0
0
8
8
1
1
0
0
24
1
1
0
0
0
0
0
0
2
4
0
16
8
8
8
8
0
0
0
0
0
0
1
0
8
8
8
8
0
0
0
8
8
8
0
0
8
8
8
16
8
0
0
16
8
0
1
0
8
8
8
0
16
0
8
8
8
16
2
8
8
8
8
0
0
0
0
0
8
0
0
0
0
0
6
16
16
16
2
2
16
2
16
16
12
8
8
8
0
2
2
2
2
0
0
0
0
0
0
0
0
49
0
0
0
0
0
0
1
8
0
4
0
0
8
4
8
8
8
8
8
1
16
16
8
8
0
0
0
35
35
4
0
16
16
16
16
8
0
0
0
0
0
40
32
32
32
16
0
8
8
8
8
8
16
16
16
8
8
24
8
1
1
1
0
0
9
9
8
8
8
16
8
8
8
8
32
16
0
0
8
8
0
0
0
4
4
4
4
4
4
0
4
0
0
16
16
1
8
0
8
0
0
0
0
8
0
0
0
8
8
8
8
8
8
41
41
41
16
16
16
16
16
16
16
18
18
18
18
8
8
8
4
0
0
0
0
0
0
20
20
8
8
8
0
0
0
16
0
0
0
0
16
24
24
8
0
4
8
16
16
0
0
0
0
0
0
0
0
0
1
0
0
16
16
0
0
0
0
0
0
32
32
24
24
0
0
8
32
32
16
16
16
17
0
0
0
0
0
8
8
8
24
24
1
1
8
0
0
2
4
8
0
0
16
16
16
16
0
0
16
1
1
1
1
1
0
16
2
16
0
0
0
8
8
8
4
4
1
1
0
0
0
0
0
0
0
8
8
8
0
16
49
49
49
8
8
0
0
0
1
1
1
1
1
1
1
8
0
0
16
16
0
0
32
32
2
16
24
24
24
0
0
16
0
8
8
2
8
16
16
8
8
8
0
0
8
8
32
32
0
0
0
0
18
0
9
8
8
8
8
16
0
0
0
16
16
16
16
16
8
16
0
4
4
8
1
8
0
0
25
25
8
16
16
16
20
16
16
0
0
18
18
18
0
0
18
18
18
0
0
0
4
1
0
1
1
16
4
8
4
0
16
14
8
8
8
8
8
0
0
0
0
32
32
0
24
0
8
8
1
1
0
56
56
56
0
16
16
2
0
16
16
16
0
8
8
8
8
8
8
8
8
8
8
16
18
16
8
24
16
8
8
8
8
0
16
0
0
1
8
8
2
1
1
8
8
1
3
8
8
0
18
8
1
1
16
0
0
0
0
0
16
14
0
0
0
4
8
0
0
1
1
0
0
0
0
0
0
0
8
0
0
0
16
0
0
0
16
4
4
4
16
0
5
5
16
16
4
0
4
4
0
16
0
0
0
0
4
4
2
0
8
0
1
16
0
0
0
0
0
0
16
16
2
24
8
0
0
0
0
20
20
20
20
8
8
6
0
0
0
32
0
0
8
0
8
8
8
0
24
0
0
0
0
0
32
8
5
5
8
8
32
32
32
32
8
16
16
0
16
8
17
0
0
0
16
0
0
0
16
0
3
0
0
0
0
0
8
8
0
0
8
8
8
8
8
4
0
0
60
8
0
40
22
0
0
0
0
0
0
8
8
8
8
0
0
0
26
26
8
8
8
8
8
0
0
0
0
0
17
17
24
24
0
10
8
8
8
2
2
0
0
0
8
1
16
16
0
0
8
0
2
16
16
16
16
16
16
16
16
16
16
4
16
24
24
24
24
0
0
8
8
8
0
50
50
50
50
50
50
50
50
50
50
50
56
0
0
8
8
0
8
0
0
0
0
0
8
0
0
0
0
0
20
0
0
0
0
0
0
0
0
16
16
16
0
4
4
48
48
8
4
8
8
1
0
0
0
18
0
2
2
2
2
4
0
8
0
0
16
2
0
0
16
8
8
0
0
8
1
0
0
0
8
3
3
3
3
3
3
3
3
3
3
3
3
3
8
8
4
4
4
8
8
18
2
0
1
8
0
8
8
8
8
8
32
8
4
4
4
0
4
0
0
0
8
0
0
0
20
0
0
0
0
16
16
24
0
17
4
16
1
4
4
0
0
0
16
16
8
8
16
0
0
45
0
20
0
8
8
8
0
0
0
0
8
19
18
18
18
18
16
16
16
16
24
24
16
0
8
16
16
25
0
0
4
4
4
4
4
0
0
0
1
1
0
0
0
0
8
8
8
0
0
16
16
16
1
0
8
8
0
4
16
0
0
0
16
25
25
25
25
1
16
32
32
16
2
0
0
8
4
4
3
8
40
40
0
0
32
0
0
0
0
0
4
0
0
0
4
4
16
16
8
8
8
8
16
4
0
0
17
0
0
2
2
0
0
0
20
20
20
20
20
8
8
8
2
8
8
8
0
0
16
16
0
0
0
0
0
0
24
8
8
8
8
8
16
39
24
0
8
8
0
0
0
16
8
8
16
8
0
0
4
24
25
8
0
0
0
0
0
8
8
0
0
0
8
0
0
0
1
1
1
1
1
1
1
20
57
57
57
4
16
8
0
16
16
16
0
0
0
0
12
0
8
8
2
0
8
8
24
16
8
16
8
0
8
8
0
16
16
16
8
8
8
1
1
1
8
32
8
0
0
0
0
8
0
0
0
0
0
1
1
1
16
0
0
16
16
1
1
1
24
0
16
17
16
16
0
16
16
16
16
16
16
8
8
0
16
1
3
0
16
16
8
0
0
32
8
32
8
8
0
0
0
0
0
0
0
0
8
8
8
0
0
0
16
16
36
36
8
8
8
8
8
0
0
0
16
16
2
8
8
1
0
0
8
8
0
0
0
0
0
0
9
0
0
0
0
8
1
1
4
8
8
8
0
0
24
56
1
0
16
16
1
16
8
8
1
1
1
0
0
0
8
32
0
16
16
0
16
16
16
16
8
8
8
0
0
4
32
0
0
0
16
8
16
16
8
0
0
8
8
8
16
0
0
0
0
16
16
16
8
0
1
44
0
16
0
0
0
0
0
16
16
0
0
8
8
0
24
24
0
0
0
16
0
0
0
0
16
16
16
2
16
16
16
16
16
16
16
32
16
16
32
0
0
8
8
8
8
16
0
32
1
0
0
0
2
0
0
0
0
28
28
0
1
16
0
0
0
0
0
16
4
4
2
0
0
8
2
16
0
18
0
0
0
0
8
0
0
0
0
0
16
24
24
2
2
40
0
0
8
16
16
0
0
0
0
0
0
0
0
9
0
0
0
0
0
1
1
16
16
16
16
16
8
8
4
4
0
0
1
1
1
0
0
8
0
8
0
0
0
16
16
0
0
0
0
0
0
24
0
4
16
16
0
40
8
16
16
16
24
24
24
0
0
0
2
14
0
16
16
0
0
0
0
20
4
4
28
16
16
16
0
0
32
32
32
32
8
8
16
0
8
0
0
0
0
20
2
16
16
0
2
2
0
0
2
2
8
8
8
36
9
2
4
4
4
0
0
3
0
0
8
8
8
4
9
0
0
0
0
16
0
0
0
24
24
24
8
8
0
0
0
0
24
8
8
8
2
0
0
0
4
4
8
8
4
4
4
4
16
16
16
16
0
0
0
20
0
8
0
0
0
8
16
16
16
0
32
32
32
32
32
32
32
0
0
1
16
16
16
32
0
2
0
0
0
0
0
4
4
4
4
0
8
0
0
8
16
16
16
3
0
32
2
4
4
16
32
9
0
32
0
12
12
16
8
0
8
16
16
0
0
0
0
0
0
0
2
24
8
16
0
16
0
0
8
8
8
16
8
1
2
0
0
8
36
4
4
0
0
8
0
0
16
0
0
0
8
16
16
8
8
8
8
8
8
8
8
0
8
9
0
4
32
16
0
8
8
8
8
8
0
0
16
16
16
16
0
0
0
0
4
4
0
8
8
4
32
0
0
8
48
16
16
16
16
0
0
3
0
0
0
8
8
8
16
16
16
16
16
16
16
16
16
0
0
0
0
2
8
0
0
8
8
0
8
16
2
2
0
20
20
16
4
4
0
0
8
8
8
8
8
16
32
8
8
16
16
16
16
16
0
16
16
16
16
16
0
0
0
0
2
2
2
18
18
18
0
12
0
0
0
0
33
0
0
0
0
0
16
0
24
24
24
24
0
0
0
0
0
13
13
0
0
8
8
8
0
16
24
8
0
0
0
8
0
0
0
52
52
52
16
0
16
16
16
1
1
2
2
8
16
0
0
0
16
0
0
0
0
0
0
0
0
16
16
8
8
8
8
18
18
0
0
0
4
8
8
8
32
0
24
58
0
0
8
24
24
8
8
0
4
16
0
0
0
0
0
0
0
4
4
0
16
0
0
4
4
4
4
19
16
0
0
8
4
4
0
4
8
8
8
8
16
16
16
17
17
0
0
16
16
4
4
16
8
8
8
0
0
8
8
16
2
24
4
0
6
0
0
0
0
44
3
32
32
0
16
0
0
0
0
0
0
8
8
16
8
12
0
16
0
0
8
8
8
16
16
24
24
0
0
20
8
16
0
0
0
1
1
16
16
0
16
0
0
8
8
0
0
4
16
16
0
0
24
16
10
16
16
0
0
0
8
8
8
8
8
8
8
8
8
1
1
0
8
0
0
0
8
8
0
0
8
8
4
56
4
2
2
2
0
0
0
0
28
28
8
8
16
8
0
3
16
8
2
0
24
8
8
8
8
16
8
4
0
16
16
0
21
21
0
0
0
0
1
0
8
0
0
0
0
16
20
2
0
0
16
16
0
0
0
8
0
0
0
0
0
0
8
0
0
0
17
16
16
0
8
16
16
8
8
2
2
4
16
16
16
16
16
16
32
32
2
1
16
16
16
16
16
16
0
0
0
0
0
16
8
32
0
8
0
0
0
0
4
4
4
4
0
8
0
4
4
2
24
24
24
16
0
8
8
8
0
0
0
0
0
16
16
32
16
40
8
8
0
0
16
1
0
6
8
2
0
57
0
16
0
0
0
0
0
0
0
8
0
0
0
0
0
0
17
0
59
59
59
16
16
14
14
14
18
18
18
0
8
8
8
24
0
0
8
0
0
28
28
0
4
4
4
4
16
0
0
0
0
0
0
0
0
0
0
2
2
0
0
0
0
0
24
0
0
0
2
0
0
0
0
0
0
8
16
0
0
0
8
8
8
8
0
0
0
18
24
0
8
8
0
0
32
32
32
32
32
8
16
16
16
16
24
32
0
16
9
9
0
0
16
0
0
8
16
0
8
8
17
0
8
1
10
0
0
8
0
8
12
0
20
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
8
41
41
0
0
0
4
4
4
0
0
11
11
0
0
16
16
0
24
24
24
24
8
8
4
4
37
16
2
2
0
12
0
0
0
0
0
0
0
0
0
4
16
16
1
1
0
16
1
16
8
8
8
16
0
56
16
0
16
16
41
41
1
1
1
8
1
1
24
16
0
16
0
0
0
0
8
8
8
16
20
0
8
8
2
0
0
0
0
16
0
16
16
16
8
16
16
20
20
30
30
8
2
0
0
8
8
8
0
0
4
4
0
0
8
8
0
0
1
1
0
25
4
0
16
16
0
0
0
0
0
9
9
8
8
2
2
2
2
0
8
8
4
0
32
32
0
16
16
16
16
8
8
6
1
1
1
4
4
4
16
16
16
16
16
16
0
8
8
8
8
0
0
2
8
0
20
0
0
8
8
0
0
0
0
4
8
2
8
8
0
0
0
0
2
4
0
0
8
0
0
0
16
16
16
16
0
24
16
0
0
16
2
2
4
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
0
1
8
0
0
16
4
4
4
1
0
0
1
4
4
0
10
4
0
1
16
2
2
2
0
4
32
0
0
0
8
8
8
8
8
8
16
40
40
40
40
40
40
40
40
40
16
16
4
4
4
4
4
4
16
0
0
4
4
4
51
51
16
16
8
8
8
8
4
8
0
0
16
16
16
24
24
16
16
16
16
16
1
1
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
8
8
0
0
0
28
28
16
37
37
37
16
0
8
32
0
4
4
32
32
32
32
32
16
0
0
8
8
8
8
8
24
0
0
0
0
0
1
0
0
0
16
16
16
0
0
8
8
8
16
16
16
0
0
16
0
8
12
0
1
2
18
8
16
8
28
28
28
28
16
16
16
16
8
0
0
8
8
8
16
16
23
0
0
16
16
16
16
16
16
16
16
16
16
8
16
16
20
20
20
20
20
4
4
4
8
8
12
12
12
16
16
16
8
0
0
0
0
17
17
17
1
24
9
9
17
12
0
8
0
0
0
0
8
0
0
0
32
0
0
20
16
32
16
4
12
20
2
54
54
54
54
0
0
0
16
8
0
4
4
0
8
0
0
0
0
8
8
0
0
2
2
0
0
0
0
2
2
2
8
0
0
16
1
20
20
4
8
32
32
16
16
16
0
8
24
0
0
0
8
8
16
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
16
16
1
0
0
0
8
8
8
8
8
8
8
0
0
4
16
0
0
0
2
8
0
0
0
0
8
8
8
8
0
0
0
0
0
2
32
0
0
0
2
8
16
16
17
17
16
8
0
0
0
0
0
0
0
0
16
1
8
0
16
16
2
18
2
8
0
24
24
25
25
25
16
0
6
6
0
8
0
0
0
8
1
1
1
1
0
0
1
0
16
16
16
16
0
24
24
0
8
0
0
16
8
1
1
0
0
0
8
32
0
0
0
16
0
0
2
16
1
9
9
16
8
0
16
0
0
0
0
16
16
16
17
17
17
17
0
0
8
4
8
8
8
8
0
0
0
0
0
0
0
0
0
0
16
16
16
0
0
16
0
8
8
8
8
16
18
8
8
8
2
0
0
0
0
4
4
16
1
2
2
2
2
2
8
8
8
0
16
16
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
8
8
8
0
0
2
8
8
8
8
8
1
8
8
4
0
12
12
8
2
0
0
0
0
4
4
4
4
4
0
20
18
18
18
18
18
8
2
0
0
13
13
13
0
0
0
0
8
0
0
0
8
32
32
32
12
0
0
4
4
33
4
0
16
0
0
0
8
8
0
0
16
0
1
1
1
1
24
24
24
0
0
32
0
0
16
0
0
0
0
1
16
20
16
0
18
18
0
0
0
16
16
8
8
8
8
8
8
8
16
8
1
32
0
16
8
8
8
8
8
8
8
8
16
16
16
16
16
1
1
0
0
0
0
12
0
0
0
0
24
0
0
0
0
0
0
0
1
2
0
16
8
0
4
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
1
24
24
25
1
32
16
10
10
10
10
0
1
1
20
4
16
16
4
16
16
32
32
0
0
16
16
16
16
18
2
8
8
0
0
16
1
1
0
8
8
16
16
2
0
8
8
0
17
8
0
16
0
32
32
17
20
20
16
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
8
24
24
24
24
0
0
8
8
8
1
16
2
16
4
4
4
16
16
16
16
16
8
0
0
0
25
0
0
16
0
0
0
0
24
24
4
8
0
8
8
0
0
4
0
0
0
16
16
16
16
1
1
0
0
0
0
0
0
0
18
0
1
16
16
16
16
16
0
0
4
0
0
8
8
8
0
0
24
24
16
16
0
0
16
16
8
0
0
0
0
0
0
0
0
0
4
4
4
28
8
8
8
16
0
8
4
0
0
1
8
0
0
0
0
1
1
2
32
0
16
24
28
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
16
0
8
8
8
0
32
18
0
24
8
0
8
8
0
16
8
0
0
0
0
2
28
6
0
0
9
9
8
8
8
2
2
1
4
8
24
17
17
8
8
8
8
8
8
0
4
4
4
16
16
16
16
16
8
0
0
0
2
2
0
0
17
16
0
8
0
0
24
24
16
16
16
0
2
1
24
24
24
24
8
0
2
2
2
16
0
1
0
8
0
32
32
0
0
0
24
0
0
8
16
16
16
0
16
8
8
1
0
0
16
28
16
16
1
8
8
8
8
0
0
0
0
17
17
32
32
0
8
8
0
0
16
16
16
16
16
0
16
16
4
24
0
8
8
8
8
0
0
0
0
0
0
32
24
8
4
4
4
4
24
0
4
4
0
0
0
0
0
0
1
1
1
0
0
5
24
24
24
16
4
0
0
8
8
8
16
0
0
0
8
8
8
8
16
8
8
12
0
0
0
0
0
0
4
16
16
0
0
8
0
0
0
8
0
0
0
0
0
0
16
16
16
16
8
8
1
1
1
1
36
8
8
0
8
8
24
16
24
8
8
0
0
0
8
32
8
0
0
0
12
0
0
8
3
0
0
8
10
5
8
8
8
8
8
8
2
0
16
16
16
32
32
0
0
0
0
16
20
20
0
0
0
0
4
4
4
4
4
4
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
8
16
16
16
0
1
16
0
0
0
8
0
0
0
0
32
16
16
16
0
16
16
21
21
0
0
16
0
0
0
16
16
16
16
16
1
0
0
8
24
1
2
0
8
8
8
44
0
0
0
0
9
9
9
0
0
0
0
0
0
0
0
0
4
16
16
16
0
8
4
4
4
4
4
4
16
16
16
16
16
0
0
8
8
0
0
16
16
16
0
8
8
8
8
0
18
18
0
0
16
16
16
16
16
0
0
0
0
16
0
0
16
8
0
8
0
0
0
0
0
0
0
0
16
16
0
0
8
8
16
4
4
3
3
8
24
24
24
4
0
32
8
8
0
0
2
4
4
4
8
8
8
8
8
0
0
0
4
4
4
16
0
2
1
8
8
8
8
0
0
8
2
1
16
16
16
0
0
8
8
0
1
20
20
4
4
4
16
16
8
8
0
2
24
20
20
0
8
4
4
0
16
8
0
0
8
4
4
8
0
24
24
24
0
0
8
8
16
0
0
0
0
0
0
0
2
2
0
0
0
0
0
0
16
8
24
0
0
0
0
0
32
16
0
0
0
0
0
0
0
16
16
16
0
0
32
0
0
0
8
8
8
8
2
2
32
8
0
0
4
16
0
1
0
0
16
16
0
0
4
4
4
16
24
24
8
8
8
8
22
16
0
8
0
0
0
0
0
0
0
4
8
1
1
8
4
4
8
0
8
8
8
16
16
16
16
16
0
0
1
8
8
8
8
8
8
0
0
2
0
0
0
8
0
0
8
8
8
8
8
0
0
0
8
8
0
0
0
0
1
16
16
16
16
16
16
17
0
0
0
0
0
4
24
1
4
2
0
0
0
0
16
26
0
0
16
16
16
16
8
0
0
0
0
4
4
16
0
0
32
8
8
8
8
0
8
8
0
0
0
0
0
0
0
0
0
0
0
32
32
2
0
0
0
1
8
8
16
8
8
8
16
9
9
16
16
8
8
0
8
0
0
0
0
0
0
2
2
0
16
0
0
0
0
16
2
8
16
16
8
32
8
8
8
16
16
0
1
8
1
1
8
17
8
8
8
17
1
56
0
8
8
8
8
8
16
8
0
8
16
0
0
8
0
4
16
2
0
0
8
0
0
0
16
16
8
8
8
0
0
0
2
2
16
1
1
8
16
16
16
16
16
0
8
2
0
0
8
0
1
8
8
0
24
8
24
24
16
8
0
16
8
0
0
8
8
4
8
0
8
32
8
8
8
16
16
8
8
8
8
8
32
8
4
4
4
0
16
0
0
0
16
16
16
16
16
4
4
0
0
8
8
16
0
16
0
8
0
0
0
16
16
8
16
16
0
0
0
16
0
16
8
0
0
4
1
1
1
0
0
0
0
0
0
0
16
16
24
32
16
16
0
0
8
24
24
0
0
0
8
16
16
16
0
0
0
8
8
6
6
0
8
10
8
0
0
26
8
0
32
8
8
0
16
16
0
0
0
8
8
0
16
8
8
8
8
8
8
16
8
0
0
8
8
8
8
8
8
0
24
16
16
16
16
16
16
0
0
0
62
62
62
62
0
0
0
0
0
0
0
0
1
1
0
8
8
4
16
0
0
4
4
4
4
4
17
17
16
8
16
4
32
16
4
32
32
8
8
8
8
8
8
32
32
24
24
0
0
0
0
0
0
4
16
50
50
50
32
0
1
1
1
1
42
2
2
16
16
0
0
32
0
0
1
0
8
8
8
4
4
4
4
4
48
16
0
1
1
1
0
0
0
0
16
24
8
2
2
16
16
16
16
16
33
17
0
16
16
2
8
0
16
1
8
8
0
0
0
0
8
8
8
8
4
0
0
1
0
0
0
0
0
8
8
8
0
0
0
24
0
16
32
0
0
0
8
8
8
8
8
16
0
1
1
1
8
8
8
8
8
8
0
8
33
0
0
0
16
8
8
8
0
4
16
0
0
2
0
0
0
0
1
1
1
1
1
8
16
16
16
1
2
2
2
2
0
0
4
0
0
0
8
0
0
0
0
0
0
0
8
8
0
8
0
0
8
0
0
32
32
0
0
0
0
0
0
16
16
16
0
16
2
2
16
16
16
0
8
0
0
0
33
33
33
1
0
24
24
1
1
8
0
8
10
10
8
34
34
2
16
16
0
0
0
0
0
0
0
24
2
8
8
1
1
0
2
1
8
0
0
0
0
20
9
9
17
8
4
0
0
1
1
8
0
0
8
18
18
0
0
0
0
0
12
12
12
12
1
0
0
8
0
4
0
0
8
8
0
16
16
0
0
0
0
0
0
0
0
0
1
1
0
8
0
20
20
16
8
8
0
8
1
1
0
24
24
0
0
0
4
4
4
4
1
0
16
2
2
8
4
4
4
0
16
16
16
8
48
0
0
0
8
8
0
0
0
2
8
32
32
32
0
0
0
0
0
16
8
0
0
8
8
9
8
1
1
1
8
8
0
8
8
4
8
8
24
0
8
8
1
0
0
0
16
16
8
21
21
21
21
8
16
16
16
0
0
8
8
1
0
8
1
0
0
16
8
9
0
0
8
8
4
4
8
8
0
8
4
16
16
12
0
0
0
0
0
0
51
0
16
16
0
0
0
0
0
8
8
16
16
8
8
20
0
4
16
8
6
16
16
16
16
0
8
0
24
8
8
0
0
16
0
0
8
16
16
16
16
16
16
16
24
0
0
0
0
16
0
0
0
0
8
0
16
16
8
4
4
0
0
0
0
0
1
8
0
8
0
8
8
8
8
8
8
8
8
17
17
37
0
8
0
8
0
16
16
8
48
48
0
12
12
16
16
0
0
0
0
0
13
16
16
0
0
61
0
0
8
4
0
0
8
8
8
8
16
8
16
0
0
0
0
8
8
8
16
8
8
16
0
0
0
8
0
0
0
0
0
0
8
0
8
8
0
8
0
16
2
0
8
8
8
16
0
2
0
16
56
8
8
0
0
0
0
0
0
25
25
32
0
0
0
32
0
4
4
1
4
4
4
4
2
0
0
0
0
0
32
32
0
0
0
8
0
0
0
0
14
16
16
16
8
8
8
0
0
9
16
16
16
24
16
0
0
0
6
2
1
0
0
0
0
0
0
0
0
34
34
16
30
0
0
0
1
0
0
0
16
16
0
0
0
0
1
0
2
16
0
13
8
17
49
1
0
16
16
16
16
16
16
16
8
0
0
0
0
0
0
16
16
16
16
16
0
8
8
9
18
0
0
0
0
36
36
36
16
4
4
8
0
0
8
8
16
0
2
0
0
16
8
8
8
8
25
8
8
0
29
29
16
16
16
16
4
4
5
5
8
0
0
0
0
0
0
0
0
6
4
0
0
4
1
0
0
0
0
16
16
16
16
8
8
0
0
8
8
0
4
0
0
0
0
0
4
39
8
0
1
39
39
39
0
4
4
40
40
40
40
3
1
1
8
0
0
32
4
4
4
8
8
16
8
0
0
16
0
24
24
0
0
0
0
0
0
0
0
1
1
40
40
8
0
8
8
24
24
4
1
16
0
0
16
5
0
2
2
8
8
16
16
16
16
0
0
14
0
0
16
16
9
9
2
2
32
0
0
24
0
16
0
1
1
1
4
8
0
0
0
32
32
16
16
16
8
26
26
26
26
26
26
0
0
16
16
32
16
0
8
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
1
8
0
8
8
8
1
9
9
9
0
0
16
8
8
8
0
16
8
8
0
0
0
0
0
32
32
0
0
4
4
8
0
4
1
1
8
9
16
0
0
0
16
0
12
32
2
16
16
16
0
0
0
0
0
4
4
16
0
0
16
16
16
8
24
24
0
2
0
0
0
0
4
4
4
4
0
0
0
0
0
0
0
2
2
8
8
8
49
0
8
4
4
1
0
8
0
0
0
0
8
0
0
8
8
16
18
18
39
16
0
16
1
1
1
1
1
0
0
0
16
8
16
2
2
8
8
8
8
20
20
2
1
48
48
0
16
16
16
16
2
2
8
0
16
0
0
0
0
0
2
2
0
8
4
4
0
8
8
0
4
8
0
18
18
18
0
16
8
16
0
1
1
1
1
8
0
33
40
32
8
8
8
16
16
16
0
0
0
0
44
0
0
16
0
16
0
16
16
6
16
0
8
16
0
24
24
24
4
4
0
8
0
0
32
32
16
16
0
8
0
42
8
8
0
57
48
1
1
1
0
8
8
0
0
0
0
0
32
16
16
0
0
16
16
16
0
0
1
1
0
16
16
16
8
8
8
16
8
1
2
8
8
8
8
0
8
8
4
4
4
8
0
0
0
2
2
16
16
0
0
8
0
0
10
2
16
16
0
0
1
0
0
0
16
0
0
16
1
1
1
0
0
0
8
8
8
8
0
0
4
2
2
16
16
4
32
32
0
0
0
0
8
30
1
8
0
2
2
2
17
32
0
16
0
8
8
16
16
8
8
0
0
0
0
23
8
8
1
14
0
8
17
17
11
0
16
16
36
36
32
32
32
32
0
0
0
8
8
8
0
16
16
16
16
1
1
24
24
0
2
8
0
0
0
0
0
0
1
8
16
16
0
18
16
0
0
10
8
8
8
8
0
0
0
0
8
8
1
1
1
8
0
0
2
0
16
16
16
4
4
24
24
24
0
0
0
0
0
0
2
16
16
16
12
16
16
16
32
24
0
0
24
8
0
0
0
0
0
8
8
8
0
16
12
12
8
0
0
16
0
0
0
0
0
4
4
4
4
4
16
16
4
4
0
0
0
16
16
4
4
4
0
4
4
4
4
4
4
4
4
4
0
0
0
0
0
16
16
16
0
0
8
16
16
16
16
16
16
24
24
0
0
56
2
2
2
0
0
8
8
8
8
8
0
0
0
0
0
1
1
32
0
0
8
8
12
12
8
8
0
0
8
8
4
4
20
0
0
16
16
4
16
16
16
8
16
0
12
12
8
56
16
16
16
33
0
0
40
40
0
0
1
0
0
0
2
2
2
2
2
2
2
2
16
16
8
0
4
2
8
0
4
4
4
4
16
0
0
8
0
0
0
8
8
0
0
0
16
0
8
8
8
0
0
0
0
32
4
4
8
8
8
8
8
26
26
0
8
8
1
1
1
0
16
16
18
0
16
16
8
8
16
16
16
0
0
16
27
0
0
0
0
0
0
0
0
16
4
4
0
0
0
16
16
1
49
49
49
49
49
49
8
0
0
0
0
0
16
25
25
25
25
25
8
8
8
8
8
8
0
8
8
0
0
8
16
8
8
8
0
8
8
24
24
24
8
0
32
8
8
8
0
0
0
24
8
8
0
0
16
0
16
16
8
8
8
9
9
6
0
8
18
18
18
18
18
18
8
8
8
1
1
1
8
8
8
0
32
8
8
16
2
2
2
2
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
12
12
12
8
8
2
16
16
16
16
16
16
16
4
4
0
0
0
0
40
0
1
1
1
1
1
1
0
0
16
16
16
24
24
0
0
0
0
0
4
16
0
0
0
0
0
8
8
4
16
16
16
16
16
0
0
0
1
0
4
8
0
0
20
4
8
0
0
0
0
16
16
8
8
16
8
8
8
0
0
0
0
8
8
8
0
0
1
0
0
0
0
0
0
0
0
8
8
0
12
8
0
0
0
0
60
8
17
17
0
0
0
0
0
16
2
0
0
0
2
8
0
0
0
0
16
8
8
20
0
8
8
8
8
8
16
16
16
0
1
1
1
16
0
0
0
0
8
2
4
0
0
0
8
32
32
0
0
0
0
0
4
9
24
16
8
8
16
16
32
0
8
8
8
0
0
5
0
0
0
0
0
8
0
0
0
0
0
16
16
16
0
16
0
16
0
8
32
32
8
0
16
0
24
24
0
0
8
8
8
0
16
16
4
4
4
4
16
16
20
0
0
8
8
0
2
2
1
8
16
8
24
16
2
2
16
0
8
8
16
0
0
4
4
4
4
4
0
8
0
0
8
8
0
16
12
12
0
0
2
8
2
2
0
0
4
4
4
4
4
16
0
8
8
8
8
8
4
16
0
0
0
0
0
0
0
0
0
8
8
8
8
0
24
24
24
24
24
24
24
24
24
0
8
32
0
0
59
24
24
2
0
8
8
8
8
4
0
16
8
32
32
0
0
2
0
0
0
0
8
8
8
16
16
8
8
20
8
16
9
8
0
0
0
0
8
8
8
0
8
8
8
8
8
8
8
8
0
0
8
1
0
0
0
0
0
0
1
4
4
0
8
8
0
0
0
6
0
16
12
4
8
8
8
16
16
0
0
0
0
0
0
22
4
4
16
8
8
8
8
8
8
12
12
16
0
0
21
8
0
0
0
8
8
0
2
16
8
0
0
0
0
2
8
1
1
8
8
0
0
8
0
8
16
1
16
8
8
8
8
8
0
0
4
4
8
8
4
16
16
16
16
0
0
0
0
0
0
16
0
0
0
8
8
0
8
2
1
1
1
1
0
0
8
8
0
0
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
4
4
4
4
4
4
0
0
0
0
0
0
0
1
16
0
0
48
0
0
0
0
4
8
8
8
2
0
1
16
0
0
0
0
0
2
2
2
8
8
8
16
16
8
8
16
8
8
0
16
16
8
8
8
0
0
0
18
8
8
0
8
32
39
0
0
0
0
8
4
8
16
9
0
0
0
16
0
0
0
0
16
16
0
0
0
0
8
8
4
4
1
8
8
28
8
4
4
4
17
17
17
17
17
8
0
0
0
0
0
0
0
0
4
4
4
24
8
8
8
8
8
8
9
9
8
16
0
8
0
0
0
0
8
16
16
0
8
1
0
8
16
2
2
0
0
24
8
8
1
1
12
0
0
0
16
16
16
10
16
1
8
0
16
16
16
16
16
16
0
8
0
0
0
0
0
0
0
0
8
8
8
4
0
16
16
0
8
2
2
2
8
8
42
0
8
1
1
1
16
4
4
18
0
1
16
4
8
0
0
0
1
8
8
8
16
0
0
0
0
0
2
0
0
0
0
10
8
2
0
0
0
8
8
8
8
8
8
2
16
20
20
16
8
8
8
0
16
20
1
6
0
0
0
0
16
16
16
16
16
2
2
2
0
8
8
8
4
4
0
16
16
16
24
0
8
8
8
8
8
16
16
24
0
0
0
24
0
0
0
8
16
16
16
16
16
24
9
16
8
8
8
16
0
8
8
16
8
0
0
0
0
0
0
0
8
16
8
8
8
0
0
0
0
4
16
32
32
32
32
4
4
0
16
16
16
8
8
6
16
0
0
0
4
4
0
0
0
0
0
12
12
16
8
8
8
1
1
16
16
8
16
1
8
16
16
2
2
16
0
0
16
16
16
16
0
0
0
16
16
16
16
0
0
0
4
0
8
16
16
0
0
8
0
0
0
8
0
2
2
2
2
2
4
4
0
8
8
8
8
8
0
14
14
8
42
2
2
0
0
0
0
0
0
8
4
0
0
0
8
0
8
8
8
0
1
8
16
56
8
8
0
2
4
0
8
0
8
16
16
0
8
16
16
16
16
8
8
16
0
0
0
8
0
33
33
16
6
32
0
0
0
0
0
0
2
2
8
8
8
16
16
8
16
4
4
16
0
16
1
17
0
17
17
0
16
16
0
20
20
16
16
16
16
2
0
0
0
0
0
32
32
32
32
32
24
24
24
16
0
0
0
0
16
4
4
8
4
4
4
4
0
0
8
8
0
0
0
16
16
0
0
0
5
5
5
0
0
0
0
0
0
16
0
0
16
8
24
24
16
0
0
8
0
0
0
8
16
16
16
16
16
16
8
16
16
16
0
0
27
0
0
14
14
14
14
4
0
0
8
8
8
1
16
8
8
16
36
8
8
8
0
0
4
4
4
4
4
4
4
4
12
8
16
16
0
2
2
0
0
0
0
2
4
0
0
0
0
8
8
2
8
8
8
8
8
8
8
0
0
0
0
8
8
0
8
8
8
8
8
8
30
30
10
0
49
0
4
56
48
0
0
0
0
0
0
0
0
0
4
0
16
0
16
0
0
8
8
0
2
0
0
0
0
8
8
16
16
16
0
1
8
24
24
8
0
0
1
1
1
1
1
1
0
0
0
0
16
16
16
16
16
16
16
16
16
16
16
56
56
8
0
8
0
0
1
0
0
0
0
16
9
9
12
20
44
44
44
44
44
2
0
0
0
0
16
24
8
24
16
1
1
8
0
4
4
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
16
0
16
16
8
0
8
8
0
16
16
16
8
8
2
2
16
0
1
16
0
32
32
32
32
32
32
32
0
0
0
8
4
18
0
0
0
32
32
4
16
16
19
19
2
2
2
0
24
24
0
8
8
8
8
8
8
0
16
8
0
0
0
8
8
8
8
0
0
0
4
16
2
0
0
0
0
0
0
0
9
0
0
32
32
2
0
0
4
4
4
1
1
8
10
10
10
10
0
0
0
0
0
0
0
16
16
16
8
16
16
16
16
0
12
16
8
1
16
0
16
9
8
0
0
8
16
16
16
0
0
0
1
4
4
0
16
16
20
16
16
16
16
16
16
2
16
0
0
0
0
15
15
15
15
0
16
16
40
2
2
0
0
24
0
32
32
8
8
12
12
16
1
0
32
0
9
8
8
8
1
24
0
1
1
1
1
0
32
32
32
32
0
8
0
0
0
0
8
8
0
0
0
2
0
4
4
4
4
8
0
0
0
4
4
4
0
8
0
0
0
0
0
8
4
8
16
4
16
0
0
0
0
16
16
0
0
0
16
16
16
16
8
8
16
16
0
0
1
1
8
0
16
0
2
0
0
16
0
16
16
16
16
48
8
0
2
2
0
0
16
0
24
8
40
40
32
32
32
0
0
0
0
16
8
0
0
0
1
1
1
1
1
0
0
17
17
17
0
2
0
0
0
0
0
8
16
8
8
0
0
4
8
8
16
0
0
8
8
8
1
1
1
5
8
4
4
16
16
2
2
18
16
0
0
0
32
0
24
4
4
4
0
4
4
0
0
0
0
0
0
0
1
0
0
8
8
8
0
0
0
0
8
8
0
0
0
4
0
0
0
8
8
8
8
8
0
0
2
2
8
0
16
4
0
0
0
0
0
0
2
2
2
0
8
0
0
0
0
1
1
1
41
16
4
1
8
0
0
8
8
8
0
0
32
32
32
32
32
0
0
0
4
1
16
4
0
0
16
16
16
16
0
0
0
8
12
16
16
0
0
0
0
8
8
8
0
17
0
0
8
16
16
16
0
0
0
0
16
16
2
8
8
8
18
18
0
0
0
8
8
0
0
0
0
48
48
0
24
24
0
8
8
1
0
0
16
16
3
3
3
3
0
0
32
0
8
8
0
8
8
0
0
0
16
16
0
0
0
0
0
4
8
16
16
32
32
8
0
0
0
2
8
8
8
25
25
25
25
41
0
0
18
8
32
16
16
2
2
4
4
4
16
1
0
0
0
12
8
8
0
0
12
16
0
0
0
9
9
8
16
8
22
6
8
2
8
8
16
16
16
0
0
0
0
8
0
0
0
19
8
24
0
0
12
32
32
0
8
0
0
0
0
0
2
0
0
4
8
8
0
0
0
0
8
25
25
25
0
0
19
0
8
0
0
1
1
1
16
16
16
8
8
16
16
8
8
8
8
8
12
12
12
12
8
8
0
0
0
0
56
8
8
0
0
0
8
0
0
0
0
16
8
8
0
8
8
8
16
0
0
1
16
8
0
4
0
32
1
1
17
8
8
16
8
0
0
16
0
16
0
8
16
16
4
4
12
4
0
0
8
0
0
0
0
0
0
0
0
0
0
16
0
0
0
17
4
4
0
0
0
0
0
0
8
0
2
5
0
8
58
0
0
8
8
8
8
8
8
24
8
12
12
1
0
8
0
4
0
14
14
32
0
16
0
0
8
8
8
40
8
4
8
0
32
0
8
16
8
0
0
0
1
1
1
1
1
1
0
0
0
0
0
16
24
0
0
0
8
0
0
24
0
0
0
8
16
16
0
0
0
0
0
0
0
8
16
1
16
8
16
4
0
2
16
4
4
4
4
4
0
9
16
16
8
8
12
12
16
16
16
0
0
16
16
16
10
0
23
32
2
26
2
0
16
8
8
8
8
16
8
8
0
16
16
16
16
16
16
16
0
40
40
40
40
4
0
2
4
8
0
0
0
0
0
0
4
0
0
0
0
0
0
0
8
2
8
0
0
16
8
8
4
16
16
0
24
0
0
0
0
16
0
0
0
16
1
8
8
0
8
32
0
0
0
0
10
8
16
0
8
16
16
8
16
8
13
13
13
8
0
0
0
0
0
0
0
16
16
0
0
0
0
0
16
16
0
0
0
0
16
16
0
0
8
8
8
24
8
8
8
0
0
0
0
20
16
16
16
0
0
16
4
3
3
16
16
16
0
0
16
0
16
16
16
0
1
1
1
0
0
0
24
0
0
0
0
16
16
16
16
40
40
32
32
4
4
8
8
8
20
16
8
16
0
0
16
16
16
16
8
8
8
16
0
0
1
0
0
0
16
16
16
16
8
8
8
8
4
4
4
4
32
0
16
0
0
16
16
16
16
0
16
8
16
8
16
16
16
0
8
8
0
0
0
8
9
9
8
8
1
1
0
16
8
4
4
0
0
0
0
0
32
48
48
48
48
48
48
8
12
4
0
0
0
40
32
0
0
20
20
16
16
8
8
4
4
0
0
4
0
16
4
4
1
1
8
8
32
4
4
4
8
0
0
0
0
0
0
1
18
21
17
17
16
0
0
16
16
0
0
36
8
4
4
4
16
24
0
0
0
0
16
0
0
0
0
9
8
16
16
0
0
0
8
0
16
16
16
0
0
8
16
8
8
16
0
16
16
16
16
0
0
0
0
0
0
0
8
1
4
4
4
4
24
0
12
12
0
0
0
0
0
0
9
8
0
0
0
8
8
0
0
0
0
16
25
25
25
0
0
32
32
32
32
32
32
32
1
1
1
0
0
0
16
0
0
0
0
0
0
0
16
16
16
16
16
16
16
0
0
3
16
16
0
0
0
0
0
0
0
0
0
0
0
2
2
2
16
35
16
16
0
9
1
1
4
0
0
0
8
8
8
8
0
0
32
8
8
16
16
0
0
8
0
0
0
0
0
0
8
0
9
9
4
0
12
4
4
0
0
0
0
0
16
9
9
8
0
0
0
0
0
1
1
0
0
0
1
32
16
16
1
8
8
0
0
0
0
0
24
24
16
16
16
8
8
8
8
16
16
0
4
16
16
0
0
0
16
16
8
8
8
8
8
24
24
24
24
1
8
16
16
16
16
16
16
16
16
0
0
4
16
16
8
0
1
16
2
0
0
0
4
0
0
56
56
56
4
4
0
0
0
0
0
1
24
24
1
1
0
16
8
8
32
32
18
4
2
2
2
2
2
2
2
2
2
2
2
16
16
2
8
8
16
17
17
17
17
0
0
16
0
0
8
0
0
40
8
0
0
0
0
0
0
0
2
18
8
4
1
0
0
8
8
8
4
0
20
20
4
4
4
0
8
8
8
8
8
8
8
8
16
16
8
4
16
0
0
0
0
16
1
16
4
1
1
1
1
1
1
24
16
8
0
0
16
16
16
4
61
61
61
61
61
0
8
0
8
16
8
32
32
8
17
8
0
8
4
4
2
2
2
16
0
0
0
0
0
0
0
0
24
24
0
0
0
8
0
0
5
0
8
0
0
1
0
16
16
16
0
0
0
0
0
3
3
3
1
1
0
32
32
0
32
2
2
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
32
8
8
2
2
0
0
0
0
0
0
28
16
16
25
8
8
8
12
1
16
16
0
16
16
8
0
0
0
8
8
8
8
8
8
8
8
8
8
1
1
10
0
0
0
0
8
8
8
8
8
0
0
0
0
0
8
8
0
8
8
8
8
8
0
0
8
8
1
1
1
16
4
24
8
16
0
0
0
8
0
0
0
0
16
2
8
18
0
0
0
0
0
0
16
16
0
4
4
28
28
0
0
0
0
0
0
8
0
8
24
8
8
4
16
8
8
8
8
8
8
45
16
8
0
0
17
17
16
8
8
0
0
0
0
8
0
0
16
4
4
4
0
0
0
48
48
2
2
2
2
2
2
2
2
2
0
0
0
0
4
8
1
1
0
0
0
0
0
0
16
16
16
16
33
0
9
0
0
0
16
0
16
16
16
8
8
8
8
8
8
8
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
16
0
0
0
0
0
0
1
1
0
32
32
32
32
0
0
8
1
1
1
1
1
4
0
0
8
20
20
20
20
4
0
0
0
0
0
0
0
0
0
4
1
0
16
16
0
8
0
0
0
8
16
0
16
8
8
40
40
40
0
0
0
0
8
8
24
24
24
24
24
1
1
8
8
16
8
0
0
8
8
8
8
28
16
2
2
2
0
16
16
1
1
8
8
16
16
16
2
2
16
0
16
8
8
16
16
16
16
8
2
0
0
2
2
20
0
0
0
0
24
0
0
4
0
8
0
0
0
0
16
8
16
16
1
1
16
17
17
8
8
0
8
8
0
32
0
0
8
0
12
8
8
32
0
0
24
24
24
24
0
16
2
2
8
8
8
8
8
6
6
6
6
6
1
1
0
2
9
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
2
2
2
0
0
0
0
0
0
20
8
0
0
0
16
8
0
8
8
8
16
16
16
16
16
0
0
0
0
0
0
16
16
0
16
4
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
16
8
8
4
8
8
0
0
16
0
0
2
8
8
8
16
16
0
0
4
0
0
0
0
8
8
8
0
10
1
1
0
12
19
19
16
0
0
16
16
0
0
17
20
20
0
8
8
8
32
32
0
0
24
24
16
0
0
18
18
18
1
8
8
8
0
16
16
0
0
0
0
0
4
1
1
0
0
0
0
16
16
8
16
0
0
8
12
12
16
16
16
8
8
0
8
8
8
0
0
0
0
1
1
16
16
16
16
16
17
1
0
0
0
0
8
0
16
2
16
0
0
8
8
8
0
41
41
0
0
0
0
0
10
10
0
0
0
0
0
0
0
0
0
8
8
8
8
8
8
8
0
0
0
4
0
0
0
0
8
0
0
0
48
0
0
0
16
16
16
0
0
0
8
0
0
0
0
0
0
4
24
8
8
8
8
8
24
24
24
16
0
1
1
8
0
8
8
0
0
11
11
0
0
0
0
0
0
0
0
24
24
24
24
24
24
16
16
16
16
2
8
0
8
0
8
0
0
0
0
8
8
16
16
16
16
16
16
16
32
32
0
0
0
2
2
2
0
0
17
0
0
0
0
0
0
0
0
0
0
17
0
16
16
8
0
8
8
1
1
0
16
16
16
0
0
0
0
4
4
4
4
4
15
0
4
0
0
0
8
8
8
8
8
8
4
0
4
4
4
4
4
16
16
16
60
0
0
4
16
8
0
0
0
0
0
16
8
8
0
34
34
12
12
0
16
16
0
0
8
16
16
2
16
16
16
16
16
16
1
8
8
27
8
8
32
8
8
32
0
1
0
8
2
16
16
16
0
0
9
1
1
8
4
16
2
2
2
41
0
0
22
8
8
16
16
0
0
4
4
4
48
0
17
17
17
1
1
1
1
0
1
16
2
8
43
0
0
0
0
0
0
0
0
8
16
8
8
8
4
4
32
16
2
20
20
0
2
25
2
2
2
0
0
4
4
0
0
16
8
16
8
0
8
8
3
8
8
8
1
1
8
8
0
8
21
0
0
28
8
0
0
0
0
0
0
0
0
57
16
0
2
4
2
0
40
40
40
40
8
8
9
16
16
8
8
8
8
8
0
16
8
8
32
32
32
16
8
8
8
8
26
8
16
0
8
8
0
0
0
0
2
0
8
8
0
0
8
8
8
8
17
17
4
2
0
1
1
1
16
0
0
32
16
16
16
16
16
16
16
16
16
16
24
0
0
2
2
2
2
20
20
24
0
0
9
16
16
24
10
8
0
16
40
2
2
2
8
16
16
2
16
8
33
0
1
0
48
16
16
2
4
0
1
0
0
8
2
8
8
0
0
0
8
8
8
8
0
0
17
0
0
0
8
0
8
24
57
0
0
16
4
8
8
8
8
8
8
8
8
8
16
0
0
0
0
0
0
0
8
8
0
8
8
8
8
8
8
8
8
2
6
0
0
0
0
0
0
8
0
16
16
16
9
9
0
0
0
0
0
0
0
0
0
0
16
8
8
0
0
0
0
0
0
16
16
0
9
9
9
0
8
4
20
32
24
0
24
24
8
8
8
8
8
8
24
24
8
0
0
0
0
0
0
2
2
2
2
8
8
8
8
0
0
0
0
0
0
1
0
0
2
2
8
16
0
24
24
24
16
16
16
20
0
0
4
4
0
0
0
8
8
8
16
16
16
16
0
0
0
24
8
8
8
8
24
0
0
0
0
16
16
16
16
0
0
0
0
16
16
16
16
24
8
8
16
16
16
4
4
8
8
16
2
8
8
8
8
0
0
0
8
1
3
3
0
0
16
1
0
16
8
8
0
16
5
8
16
8
8
4
4
4
4
8
8
8
16
0
0
0
8
4
4
4
4
4
1
1
0
0
0
0
0
0
8
0
2
2
2
0
0
0
4
4
4
16
16
0
8
8
0
8
0
0
0
1
1
1
16
4
4
4
28
0
0
1
8
0
0
0
0
0
8
0
8
0
0
1
16
16
16
48
16
16
16
8
0
16
16
0
8
8
8
0
0
0
0
0
0
16
16
16
16
2
0
0
8
8
4
0
25
25
5
0
0
8
8
8
0
0
0
0
11
8
24
24
34
34
0
0
1
1
1
1
1
16
10
16
16
0
0
0
0
25
0
8
24
1
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
2
2
16
16
16
4
4
8
8
0
2
0
0
12
0
0
0
0
0
0
8
16
0
0
0
0
16
16
1
0
0
4
4
4
16
16
16
8
8
0
0
0
8
8
8
25
8
16
16
1
1
0
8
8
4
0
8
8
0
2
2
2
2
8
0
0
2
0
16
0
0
0
0
1
8
0
0
0
16
16
6
16
0
8
8
2
0
0
0
2
12
16
16
2
16
0
8
8
8
8
8
8
0
8
0
2
2
0
1
16
0
0
0
0
16
0
20
20
11
16
25
0
0
8
0
0
16
16
16
8
4
1
4
8
0
0
0
0
0
0
0
8
48
48
48
48
48
48
0
0
8
8
54
8
0
0
16
16
16
18
0
0
8
8
3
19
0
0
0
8
0
0
0
0
8
8
8
8
12
12
16
8
8
8
0
0
0
0
0
8
0
0
0
8
8
0
8
8
4
20
32
1
1
8
0
0
8
16
16
4
0
8
0
1
8
8
8
32
0
1
1
1
0
0
0
8
8
0
0
0
0
16
4
8
16
4
0
0
12
8
2
0
2
16
0
0
0
0
4
16
16
0
0
50
12
12
24
24
1
1
1
1
1
1
0
24
8
0
0
0
0
0
0
32
32
9
9
8
8
0
0
0
4
4
4
16
1
1
16
8
8
32
32
0
0
32
1
48
8
4
4
1
1
0
8
0
0
8
8
8
8
0
0
16
16
0
0
16
16
0
16
0
0
0
1
5
8
0
0
0
0
0
32
32
32
8
0
16
2
2
2
0
8
8
16
16
16
0
8
16
0
0
8
0
8
8
4
4
0
1
4
0
0
15
15
32
0
0
0
24
24
0
0
0
8
8
8
8
8
8
8
8
4
0
1
4
4
0
0
0
0
13
0
0
17
8
8
0
0
12
8
17
17
0
8
2
16
0
16
6
0
0
8
8
8
8
4
4
4
0
16
16
16
0
8
8
1
1
1
0
8
0
40
8
8
8
0
16
16
4
4
4
8
0
8
8
24
24
16
0
16
4
8
16
16
16
16
4
8
0
0
0
0
0
32
0
0
0
1
8
8
8
0
0
2
2
4
0
4
28
16
24
24
40
40
0
8
16
4
4
16
8
16
1
0
15
2
1
1
1
16
16
8
16
16
16
2
2
1
16
0
0
4
0
0
8
0
32
32
32
32
32
32
0
4
4
4
4
4
4
4
4
4
16
0
0
0
17
16
16
20
20
8
8
8
8
0
0
8
8
8
16
2
0
0
0
16
16
2
2
2
8
24
8
8
16
0
16
16
1
16
16
16
0
22
6
0
21
0
0
8
16
16
8
0
0
2
0
14
8
16
16
16
24
24
24
24
24
8
0
27
8
8
0
0
1
8
8
8
32
32
32
8
2
2
2
8
4
4
4
0
0
0
0
36
36
0
0
0
4
0
8
8
8
0
0
8
16
12
4
0
0
16
8
8
0
0
16
0
4
10
0
1
1
0
0
1
1
1
8
0
0
0
0
0
0
0
16
16
16
16
24
16
8
8
8
16
16
16
2
0
2
2
2
22
16
8
8
8
8
8
0
8
0
8
8
8
2
0
2
0
0
0
0
0
0
8
8
8
16
16
16
0
0
0
0
0
0
10
10
10
10
10
10
10
8
8
1
1
0
0
16
16
17
1
1
8
8
8
8
0
0
16
0
8
8
8
8
8
16
16
16
0
4
4
4
4
0
0
0
0
0
0
0
0
0
0
16
0
8
0
0
16
0
0
16
16
4
0
20
20
8
8
8
16
0
16
16
0
0
8
8
8
8
8
0
0
0
8
8
8
8
0
24
8
32
32
16
8
0
0
0
0
1
0
0
16
16
16
16
16
0
0
0
0
0
8
8
8
4
0
0
8
16
16
8
0
0
4
4
4
0
12
12
8
8
16
16
0
0
24
0
0
16
24
4
0
0
0
0
41
16
16
0
0
0
0
0
32
8
8
0
8
8
16
16
0
0
0
0
8
8
8
4
4
0
0
0
4
4
4
4
16
0
0
12
8
4
0
0
1
16
0
16
16
0
0
8
41
41
41
32
4
8
8
8
1
1
1
1
12
8
28
28
16
16
16
16
16
16
0
0
1
0
0
8
8
8
8
0
0
0
0
0
0
8
8
8
8
0
0
0
16
0
0
0
0
16
16
0
0
20
20
4
4
4
4
4
0
2
16
16
16
0
0
0
0
4
4
0
8
0
1
61
45
45
0
8
16
16
16
2
2
24
24
16
0
8
16
16
8
8
0
0
0
0
8
0
0
0
16
0
0
0
0
16
0
8
8
24
0
1
0
0
0
8
8
8
8
16
8
0
2
16
16
49
49
9
0
4
8
8
0
2
2
17
17
17
17
17
17
0
0
0
0
0
0
8
8
8
8
16
16
0
0
0
0
20
0
0
0
0
0
4
4
0
4
16
16
8
24
8
0
0
0
56
0
0
16
0
16
16
0
0
0
17
17
0
0
0
8
12
12
1
0
16
0
0
0
16
0
0
0
0
16
16
1
0
8
8
8
8
0
0
0
2
8
4
0
0
0
0
0
0
0
20
20
20
20
4
4
17
0
8
4
1
1
8
0
0
0
0
2
2
0
8
8
8
8
0
18
8
8
8
9
9
9
9
9
9
9
9
9
9
8
20
4
4
8
32
32
32
32
16
8
8
43
4
32
0
8
4
4
0
0
4
0
12
0
8
0
16
16
8
8
0
16
16
2
8
8
8
0
0
0
0
0
0
10
10
16
16
0
0
8
8
8
8
8
8
16
16
16
8
8
8
16
0
0
0
0
8
16
16
0
8
8
8
8
0
0
0
1
16
16
16
1
0
0
0
4
4
4
0
8
0
0
16
8
0
0
0
1
12
1
0
0
0
0
2
6
0
0
0
0
0
32
0
40
0
0
0
16
0
0
0
0
9
9
9
9
0
0
0
4
8
0
0
0
8
0
16
16
16
1
9
9
32
4
4
0
16
16
8
1
0
16
0
0
0
8
16
0
0
0
0
0
1
1
10
16
8
0
16
8
0
0
32
16
0
8
13
8
8
0
0
0
32
32
32
32
32
32
32
0
16
0
0
16
16
16
2
0
0
8
4
4
4
0
0
0
0
4
0
28
8
8
8
8
8
32
16
0
0
0
4
4
4
8
20
32
32
32
12
16
16
16
16
0
8
8
22
32
16
0
0
0
18
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
48
16
16
0
0
0
0
4
4
16
8
0
0
16
16
16
8
8
8
8
8
1
1
8
16
8
0
8
0
0
0
0
0
0
0
0
0
0
32
32
2
8
2
16
0
0
8
8
0
0
0
28
8
0
16
0
2
2
2
2
4
0
0
16
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
24
8
16
16
0
0
8
0
0
0
2
0
0
0
0
6
6
19
16
16
8
10
10
0
0
0
0
16
0
1
4
0
0
8
0
0
16
0
8
0
1
8
8
24
8
8
8
20
0
0
0
22
22
8
0
8
40
4
8
8
8
16
16
16
16
4
4
4
2
0
0
0
0
0
8
8
6
6
0
0
16
8
8
0
8
2
2
2
1
8
0
0
4
4
8
4
0
28
16
0
4
8
0
16
1
16
0
0
0
0
16
0
0
0
12
8
16
0
16
16
16
16
16
8
0
0
0
8
8
8
8
8
0
16
9
9
9
2
0
1
1
8
0
8
0
8
8
8
8
0
0
0
0
8
16
0
0
0
0
0
0
8
8
8
9
9
9
9
9
9
9
16
16
16
16
16
0
0
0
0
2
9
12
0
25
4
4
4
4
4
4
4
4
4
16
16
16
0
16
16
8
0
0
0
8
8
8
0
0
1
0
0
0
16
16
16
16
0
0
0
8
0
10
4
4
8
8
0
0
0
0
17
0
0
24
24
2
2
0
21
21
0
16
8
8
0
0
0
1
0
0
0
0
8
16
16
0
8
8
0
8
17
16
0
0
24
8
32
32
32
4
8
1
0
16
0
0
0
40
0
0
16
9
4
0
0
0
0
0
16
16
2
0
0
0
0
0
8
0
0
49
0
0
0
0
0
0
0
0
8
8
0
8
8
8
0
0
8
8
8
8
8
0
0
4
0
16
16
8
8
0
0
0
0
0
0
0
1
1
0
16
16
8
8
8
4
9
8
48
48
48
48
48
0
0
0
0
8
8
8
0
8
0
8
0
1
25
0
0
0
0
0
17
17
16
16
0
0
0
8
32
8
1
16
32
32
32
32
32
8
0
1
16
8
0
1
0
24
4
0
16
16
8
8
0
0
8
24
8
0
0
0
0
25
0
0
8
8
8
8
8
16
16
8
8
8
8
8
8
0
0
8
8
8
8
2
2
8
1
0
0
0
8
0
0
0
0
0
0
0
0
1
32
24
24
24
8
8
8
8
8
8
16
16
1
16
16
24
54
16
16
16
16
16
16
16
16
4
4
4
0
32
32
32
32
8
0
0
0
0
4
0
0
0
0
16
24
2
16
24
16
16
0
0
0
0
0
8
0
0
0
0
8
0
0
32
8
0
0
16
16
16
16
16
0
0
16
0
0
0
0
0
0
0
0
8
36
0
0
0
16
0
53
53
10
10
16
16
16
16
33
33
33
33
4
4
22
1
1
1
2
2
0
0
0
16
40
8
8
8
16
0
16
16
16
8
24
0
0
0
0
0
34
1
0
0
0
0
0
0
0
0
0
8
8
8
0
32
32
8
8
0
8
8
8
36
16
16
16
16
16
16
16
29
0
8
8
8
8
16
16
16
16
16
0
0
20
20
16
16
0
0
0
0
0
0
0
8
8
8
8
8
4
0
4
4
4
0
6
6
20
8
8
16
1
20
0
0
0
0
0
0
0
0
0
0
6
0
0
1
8
8
0
1
8
4
0
17
17
17
17
17
16
16
0
16
16
16
2
0
0
0
0
0
0
0
0
0
8
16
16
16
24
16
0
2
2
0
8
1
2
4
16
0
1
1
1
0
8
0
16
18
24
0
0
0
0
0
0
0
1
1
0
0
2
2
0
8
16
18
0
16
16
16
16
16
16
16
0
0
4
8
4
8
8
0
8
12
12
0
16
16
16
16
16
16
16
16
16
16
0
8
0
9
9
9
9
9
9
9
9
9
32
32
32
0
0
0
0
0
0
16
2
2
2
16
8
16
0
0
32
32
32
32
8
8
8
8
8
19
1
1
1
32
32
32
1
1
1
1
8
4
4
4
16
8
0
0
0
2
16
16
16
8
0
0
0
0
0
0
24
16
16
8
0
0
8
8
8
8
8
8
8
0
0
0
0
4
4
1
1
2
0
24
24
24
8
1
1
18
16
0
16
16
1
0
0
1
0
0
0
36
0
0
0
24
0
0
24
0
0
0
8
8
16
4
4
4
16
8
0
0
0
1
1
1
16
16
16
16
8
0
0
0
0
8
25
4
20
4
16
16
0
0
16
16
0
56
8
0
20
8
8
0
0
16
0
8
8
8
8
8
4
0
0
8
8
4
4
4
4
4
4
4
0
8
16
0
0
0
0
0
0
2
0
0
0
2
2
0
24
1
16
16
16
16
8
24
4
16
16
16
16
16
8
8
2
24
0
0
16
16
0
0
0
0
0
0
8
16
16
0
1
1
1
0
2
10
0
8
8
16
8
0
0
8
0
16
0
0
0
0
0
20
0
0
16
0
0
0
0
32
32
32
32
32
18
0
16
16
16
1
1
0
0
0
0
0
0
0
0
0
0
16
0
8
0
0
24
0
0
0
20
4
4
4
0
4
4
0
2
0
8
0
0
0
0
0
0
0
4
4
0
0
0
8
8
0
4
0
4
0
16
16
1
8
0
16
16
16
0
8
0
0
0
0
8
8
8
8
8
8
2
2
8
8
8
8
0
0
0
0
8
8
8
8
16
16
16
16
16
0
16
0
0
8
2
1
1
0
0
0
8
8
16
16
16
8
16
4
4
0
16
16
0
0
16
16
8
16
32
32
32
16
16
0
0
8
8
0
0
0
8
0
2
4
1
1
10
10
10
10
10
10
10
8
4
4
32
0
0
0
0
0
0
8
16
16
16
0
0
8
8
24
48
0
1
1
1
0
0
0
0
0
0
0
8
8
8
0
16
16
8
0
8
16
22
22
1
1
1
4
0
8
16
1
0
0
16
32
32
9
9
8
8
16
0
16
16
16
0
0
0
3
3
8
8
16
48
0
0
0
0
1
1
1
1
0
0
12
20
20
1
16
16
0
0
0
8
8
0
0
0
16
16
8
8
4
4
4
0
0
2
8
8
8
0
16
16
16
16
4
56
0
0
0
0
0
0
4
4
4
32
0
16
8
2
16
16
8
8
8
0
0
0
0
16
8
8
16
16
0
0
0
8
1
24
24
4
0
4
0
8
8
16
16
8
8
0
0
0
0
48
48
48
48
48
8
0
16
32
32
1
0
40
40
8
8
1
1
4
4
4
16
0
8
16
16
16
16
24
0
0
0
0
0
4
4
4
4
24
16
16
16
22
22
22
22
0
0
10
1
17
0
8
4
0
1
0
4
0
0
0
32
1
32
32
0
0
0
16
0
8
0
4
4
4
4
0
17
1
1
1
8
8
8
0
0
0
8
8
0
1
1
8
0
0
32
8
4
4
4
4
0
1
40
16
16
16
16
16
16
16
0
0
0
16
4
8
6
0
1
16
16
16
8
0
0
40
40
40
4
8
8
8
0
0
14
8
0
0
8
32
8
8
8
5
5
20
2
8
8
8
8
16
16
16
16
0
0
0
0
0
0
0
0
0
16
16
2
2
0
9
16
0
24
8
4
4
4
4
16
16
0
32
32
32
8
8
4
4
0
8
8
8
8
8
8
8
8
8
8
8
0
16
0
8
0
16
16
16
12
0
0
0
0
0
0
22
4
1
8
56
16
16
2
0
0
5
5
20
0
0
4
0
8
8
8
8
2
0
8
8
12
12
12
0
16
16
8
0
2
8
8
8
4
4
0
0
24
8
9
9
9
1
1
1
1
8
8
8
0
4
2
2
8
8
16
0
24
4
32
0
0
0
4
4
4
0
16
0
0
16
16
26
26
8
4
16
25
8
4
4
0
0
28
0
0
0
0
24
4
1
1
1
1
16
8
8
8
1
1
1
32
0
0
0
0
0
0
8
32
16
16
10
10
24
24
24
24
24
2
0
0
0
8
8
8
1
0
0
0
16
16
0
0
0
16
0
2
8
0
0
1
0
0
1
1
12
32
32
19
8
0
0
0
1
16
16
0
16
24
1
1
16
16
16
16
0
0
4
12
8
8
1
1
1
1
1
1
1
1
0
0
8
24
24
0
0
8
8
8
8
1
4
4
16
8
8
8
8
16
2
8
8
16
0
0
0
0
8
16
4
0
2
2
2
8
16
16
16
16
0
0
0
0
8
8
0
16
8
0
8
0
16
16
16
0
0
0
0
1
8
16
16
0
16
0
0
0
6
6
1
1
0
8
32
0
0
0
16
0
48
0
32
24
1
1
1
8
8
0
0
8
0
8
0
0
0
0
0
0
0
0
0
0
8
20
4
0
25
0
0
0
8
8
24
0
0
0
0
8
0
0
9
0
0
0
24
5
4
0
0
16
16
8
8
24
8
0
0
0
8
8
8
8
16
16
16
0
8
8
8
0
0
0
0
0
8
0
0
0
0
1
0
16
16
16
8
8
8
0
8
1
1
0
8
0
8
8
0
0
4
0
0
0
24
8
8
0
0
0
1
1
1
1
1
16
16
0
8
8
16
24
0
0
0
0
0
2
18
0
2
8
8
0
0
0
0
25
0
16
0
0
8
0
0
8
16
0
16
16
12
12
0
8
8
3
1
1
8
16
8
16
4
4
8
8
0
16
16
16
16
24
4
16
16
16
16
16
16
16
16
16
16
0
0
0
0
0
0
0
0
2
4
2
2
0
16
16
16
16
16
0
4
0
0
0
0
0
8
8
8
16
4
18
18
8
8
0
0
0
0
16
16
2
2
0
0
0
0
0
0
2
8
8
8
5
5
16
0
8
0
0
0
12
12
2
2
2
1
8
8
8
8
8
24
24
24
11
0
16
16
1
0
0
12
0
0
0
0
16
22
16
1
1
1
1
4
0
0
0
16
16
0
1
0
2
38
0
0
0
0
24
8
8
8
16
0
0
1
18
18
18
18
0
0
2
2
2
2
0
0
8
0
0
0
16
0
0
18
0
0
0
0
2
8
8
0
16
16
0
0
8
6
6
4
4
8
0
8
0
5
0
0
8
8
8
8
0
0
0
0
32
4
60
16
16
16
16
16
16
24
24
24
24
24
0
0
8
8
0
0
16
16
16
9
8
4
0
0
4
4
40
0
0
0
0
2
16
1
1
1
4
0
8
8
8
8
8
24
8
8
0
8
0
16
0
0
0
0
0
0
24
24
24
8
8
0
32
32
32
32
32
0
0
0
0
32
52
0
2
16
0
0
16
16
16
2
8
0
0
0
8
8
48
16
24
12
16
8
8
16
16
16
16
0
0
0
0
16
16
16
0
0
0
0
8
8
8
8
0
0
0
16
8
8
24
24
24
24
8
45
8
0
0
0
8
8
8
8
8
8
0
0
8
0
4
4
1
0
0
0
24
24
4
4
0
0
0
0
0
0
1
1
1
1
0
0
16
8
16
16
0
0
0
0
0
0
0
0
2
0
0
0
0
0
16
16
0
1
1
8
0
34
34
0
0
0
0
24
3
3
4
0
8
8
8
0
0
0
0
8
16
0
0
0
18
1
0
0
16
16
0
0
8
8
8
8
8
8
32
32
16
16
16
8
8
2
2
8
0
16
1
0
0
2
12
0
2
2
4
8
26
26
2
26
26
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
16
8
0
0
1
16
16
16
16
16
16
8
8
8
1
1
8
8
10
10
0
0
0
2
0
0
8
8
20
20
20
0
0
2
2
16
44
16
0
0
32
32
32
0
8
8
0
33
0
0
0
0
0
0
24
24
0
0
0
0
8
0
16
0
0
0
0
0
0
8
10
0
16
0
0
8
8
6
6
27
16
8
0
0
0
0
0
0
0
0
4
0
0
16
16
0
0
0
16
16
0
0
0
0
8
16
8
0
0
0
4
0
0
16
16
16
0
0
0
16
16
0
2
0
0
0
1
16
2
20
20
8
1
1
0
0
16
8
8
8
4
2
16
16
0
0
8
8
8
16
16
0
0
0
0
0
0
16
8
8
8
8
8
8
0
0
0
2
2
2
16
16
0
0
0
0
16
0
0
16
16
24
1
0
0
0
0
4
16
8
4
8
0
16
8
16
12
0
0
0
24
24
24
16
2
22
22
16
16
16
0
8
0
27
8
8
8
8
8
0
16
32
20
20
20
20
0
0
16
0
32
1
8
16
8
2
8
16
25
25
0
1
1
16
0
0
30
30
2
16
16
0
0
0
0
0
0
32
32
0
0
8
16
16
24
16
0
0
0
0
28
0
0
0
0
16
16
16
8
9
9
8
8
12
0
0
8
16
4
4
4
0
0
32
32
6
6
6
6
6
8
4
8
8
8
8
8
8
39
16
0
8
8
0
1
1
16
16
16
16
4
0
8
1
0
8
1
1
16
16
16
1
0
0
0
0
0
0
0
24
16
8
8
8
2
0
28
28
0
0
16
16
0
0
0
0
0
24
0
0
1
1
8
8
8
16
0
8
8
8
8
0
0
2
2
0
8
1
1
0
0
0
0
0
0
0
0
40
20
20
20
0
16
16
16
4
2
16
0
0
0
18
4
0
0
0
0
0
4
0
8
0
0
0
0
16
16
8
16
8
8
16
4
4
12
12
4
4
0
0
0
16
4
2
8
8
0
0
0
0
5
0
8
8
8
0
0
0
0
20
8
0
8
8
8
8
0
0
6
6
1
1
16
16
16
16
16
24
0
17
17
17
24
16
16
16
2
2
16
8
2
2
2
9
4
8
0
0
0
8
2
2
4
48
16
0
8
8
1
24
0
0
4
8
8
0
8
4
1
1
1
1
1
1
1
8
8
8
8
16
8
16
16
0
0
0
0
0
0
0
8
1
0
0
16
16
16
0
16
0
1
1
16
16
16
4
4
4
4
4
8
8
8
0
0
0
0
0
0
2
0
0
1
6
8
16
8
16
16
16
8
8
0
0
8
0
0
1
1
10
0
0
0
16
16
16
16
16
16
16
16
16
8
8
16
1
1
16
24
24
10
32
32
0
8
4
0
0
0
0
0
16
24
8
16
1
1
1
8
16
8
8
8
8
16
16
16
0
0
8
8
14
20
20
20
20
20
20
0
0
0
10
16
16
16
8
8
8
8
16
1
0
0
0
0
8
16
16
25
10
10
10
0
32
8
1
1
0
4
0
8
8
16
16
16
16
16
16
8
8
4
4
0
0
0
20
8
0
0
0
0
8
4
8
8
8
0
8
0
0
0
0
0
8
16
0
16
16
16
16
8
0
0
0
8
8
8
32
16
16
16
8
8
8
0
0
8
8
8
8
8
8
1
16
0
0
0
4
4
4
8
8
8
8
8
8
8
48
16
0
0
0
4
0
0
16
16
0
0
8
0
0
8
8
0
2
0
0
16
16
26
0
0
0
0
20
8
0
16
16
2
4
2
0
0
0
8
8
8
16
16
16
0
1
1
4
9
0
0
41
41
41
24
0
0
0
8
16
16
8
8
8
8
8
32
32
8
8
2
3
0
0
0
0
16
16
0
16
16
16
0
0
0
0
0
8
8
2
4
2
1
2
2
16
40
32
32
8
0
8
8
8
8
24
1
32
0
0
0
36
36
16
16
16
0
0
8
48
48
8
0
32
32
32
0
2
4
8
8
0
8
0
0
0
0
0
44
44
16
18
1
16
16
16
16
16
4
0
0
16
8
8
8
8
8
8
8
16
0
0
0
16
16
16
16
8
0
0
9
9
16
16
1
1
0
8
8
8
0
0
2
2
0
16
16
1
1
1
0
8
0
32
32
32
32
32
32
32
0
8
16
0
0
0
0
19
19
19
2
2
20
20
20
0
16
24
24
4
4
4
8
16
8
8
0
0
8
8
8
4
8
0
0
0
0
8
16
16
0
17
1
1
1
4
4
4
4
4
4
4
4
41
16
16
0
4
2
3
3
0
0
2
0
0
0
16
4
0
0
8
0
0
16
16
16
16
16
0
0
16
16
16
8
8
8
0
0
0
8
8
16
16
16
8
0
2
2
0
0
24
16
2
0
4
4
0
0
0
0
0
0
0
0
8
8
8
8
0
2
0
9
9
8
0
8
8
4
17
17
17
17
8
0
0
0
0
0
0
0
0
0
20
8
8
0
0
0
0
8
24
24
24
24
24
32
0
30
0
8
8
16
16
0
1
1
8
0
0
10
0
0
8
0
8
8
8
8
8
4
0
4
16
16
0
16
16
16
16
8
6
10
24
16
12
8
8
8
1
1
32
32
32
32
32
4
16
16
8
0
8
8
8
0
2
8
8
2
2
44
0
20
20
20
16
0
0
0
0
16
16
16
16
16
9
8
2
0
0
16
9
16
16
0
0
0
0
8
8
4
4
0
0
4
11
8
8
8
0
24
8
4
4
4
36
52
0
16
16
16
16
16
40
4
8
8
0
4
0
0
57
57
25
2
16
8
8
4
4
0
0
0
0
4
16
0
16
0
16
48
48
48
48
48
48
16
8
8
16
8
8
0
0
2
2
16
0
0
0
0
0
16
8
16
8
8
8
8
8
8
1
1
1
0
17
0
8
8
8
8
8
8
8
8
2
2
0
0
0
0
0
32
16
0
16
8
8
8
8
16
16
9
32
0
0
0
0
0
0
8
0
0
16
16
0
8
8
8
0
0
18
16
8
8
2
8
0
0
10
10
8
8
8
0
0
2
16
8
18
8
0
0
6
16
16
32
32
1
8
0
0
0
0
20
2
2
0
0
0
8
0
8
8
16
16
16
2
49
26
16
16
16
16
16
8
32
8
8
8
34
34
34
1
1
1
16
0
0
1
1
16
1
1
0
0
0
16
8
8
2
8
0
0
8
8
8
16
0
7
4
16
16
16
16
40
0
1
8
0
16
16
16
0
0
8
8
0
1
1
36
16
16
16
16
0
0
18
18
4
0
0
4
4
2
8
24
24
24
3
0
32
32
8
8
0
24
24
4
4
4
0
0
2
8
8
0
0
0
0
24
0
0
0
4
4
4
56
16
16
0
0
1
0
0
0
0
0
12
0
0
0
8
16
16
16
0
8
8
16
8
8
16
4
4
4
4
2
8
0
1
1
2
4
4
16
1
1
0
0
16
16
16
8
0
16
40
0
2
8
8
18
18
8
8
8
16
16
16
0
0
0
0
0
0
0
0
8
16
16
0
16
0
0
1
4
0
2
0
0
0
0
16
12
8
0
0
8
4
0
0
0
0
0
4
16
0
16
8
26
0
0
0
0
8
18
18
18
18
18
18
8
8
8
8
8
4
4
4
0
4
0
0
16
8
8
8
8
8
8
8
8
8
2
2
0
16
4
16
21
21
4
8
8
8
8
8
8
0
0
0
0
0
0
16
16
8
0
4
16
16
16
16
8
16
2
0
0
0
0
0
8
35
0
20
4
16
16
16
8
16
16
24
24
16
20
8
16
16
0
0
0
0
8
0
4
8
18
16
0
0
16
16
20
16
16
0
0
0
21
16
8
8
8
0
32
32
8
16
0
0
0
0
0
0
0
0
8
8
8
0
0
1
16
16
16
0
16
8
8
8
8
16
16
0
0
0
16
0
0
0
0
8
6
6
24
0
16
16
16
8
0
0
0
0
0
0
0
0
16
4
4
2
2
0
0
16
16
0
0
8
0
16
16
16
16
16
16
16
16
16
16
16
16
16
0
0
0
8
8
0
8
0
4
0
0
1
1
0
1
1
0
0
8
16
16
8
16
8
8
0
2
2
0
8
8
16
4
0
24
24
48
48
48
48
48
48
8
4
0
0
0
0
0
4
4
4
4
4
4
0
0
0
16
16
4
4
17
0
0
0
0
12
2
16
0
0
1
25
25
0
0
0
0
16
1
0
0
0
0
4
4
0
16
8
0
0
0
8
6
6
0
4
8
8
16
16
0
0
0
0
0
0
8
8
8
8
16
25
25
0
0
0
0
0
16
16
0
0
0
0
0
8
8
8
8
8
16
4
16
16
0
0
0
0
0
0
1
16
0
0
0
8
8
0
0
40
40
40
40
8
8
8
0
0
0
24
2
16
16
4
4
0
16
16
0
1
0
0
0
0
0
8
8
0
0
0
0
8
4
16
16
8
0
0
0
0
8
0
4
0
0
0
0
2
2
16
8
16
16
16
16
1
1
0
1
32
1
8
8
8
0
16
16
4
16
16
0
0
8
8
8
16
16
0
0
8
24
17
17
17
0
0
0
0
0
0
0
0
0
16
16
16
16
16
16
8
4
2
0
20
20
16
16
16
16
50
32
4
16
16
1
16
16
16
16
16
16
0
0
0
4
1
8
8
8
16
16
16
8
24
0
1
8
8
16
16
4
4
0
0
8
8
0
0
0
0
0
24
24
0
16
4
8
8
8
8
8
8
40
8
8
8
8
0
8
8
0
0
0
20
8
8
16
16
16
1
0
0
0
0
1
8
0
0
0
0
0
0
0
4
0
4
1
1
0
0
32
0
17
0
0
4
4
0
0
0
4
24
8
7
7
7
1
17
17
0
8
16
16
16
16
4
0
0
4
4
4
18
18
4
4
4
16
16
16
16
16
32
32
32
9
16
16
8
8
17
17
2
2
20
20
0
26
16
8
8
8
8
8
8
24
24
0
42
42
32
8
0
1
1
1
8
57
8
4
4
16
0
8
8
8
16
18
8
0
1
0
0
0
0
0
16
0
16
1
1
1
1
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
32
2
0
0
8
16
8
0
0
0
12
0
24
24
24
8
0
0
0
0
16
0
0
0
0
8
8
8
8
24
8
8
8
1
8
0
0
0
1
0
0
0
8
0
2
2
0
0
0
4
0
0
0
0
0
8
8
8
16
16
16
8
2
4
4
4
4
8
8
0
24
24
8
8
8
0
0
8
16
0
16
8
32
1
1
0
2
8
8
8
0
0
0
0
0
16
0
0
1
1
1
32
32
32
0
8
2
0
32
32
0
0
0
0
16
16
16
8
0
0
4
4
0
16
16
16
16
17
32
0
0
0
0
0
4
4
16
16
0
0
8
8
8
0
8
4
5
0
1
12
12
8
16
0
0
0
0
9
8
8
0
8
8
32
0
8
8
16
0
1
16
0
0
0
0
8
0
0
0
0
0
0
0
0
4
0
22
22
32
32
32
8
8
8
8
8
8
4
0
8
8
8
0
0
0
4
1
1
16
16
0
0
0
0
0
8
8
8
8
8
8
16
26
26
26
0
1
1
0
8
0
16
16
16
2
8
13
13
0
16
0
0
4
0
0
0
16
0
0
0
0
1
1
1
8
8
8
8
8
8
4
4
4
4
17
8
8
0
0
0
0
9
0
8
8
8
16
1
1
16
16
0
0
57
24
24
16
24
8
0
32
0
24
1
1
16
16
8
0
0
0
1
1
4
1
0
0
12
0
0
0
32
32
32
32
32
32
32
32
32
32
0
0
0
0
4
8
0
0
1
1
1
0
0
0
16
16
16
8
8
8
0
52
0
0
8
16
0
4
0
0
0
0
0
0
0
42
42
4
0
0
24
4
28
28
8
8
0
0
0
0
8
8
8
0
0
8
8
8
1
8
8
8
8
0
0
0
0
0
20
20
0
8
30
30
30
0
0
1
12
8
2
2
4
0
8
8
8
8
0
0
0
0
0
0
0
0
2
16
16
16
16
16
0
32
32
25
0
0
0
8
8
0
8
4
8
16
0
4
8
1
0
0
0
8
56
0
16
1
1
1
1
1
8
8
8
16
16
16
16
16
8
8
16
16
16
16
16
16
16
32
0
0
8
0
0
0
0
0
0
0
0
0
16
8
8
17
0
0
0
0
4
4
0
8
16
16
16
0
0
0
24
24
0
0
0
0
8
0
1
1
1
1
28
28
0
0
4
16
8
24
16
8
8
0
0
16
16
16
16
8
8
8
0
0
0
4
24
24
11
8
8
16
16
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
4
4
4
4
4
4
2
2
2
16
16
8
8
8
8
0
8
8
8
8
8
8
0
0
12
1
0
0
12
12
0
0
16
16
16
4
0
0
0
32
16
8
8
0
0
0
0
8
16
16
8
1
1
1
8
44
0
0
0
0
0
0
16
32
0
8
0
0
0
16
16
0
0
0
0
0
0
0
0
8
16
16
16
16
16
0
0
0
8
6
0
16
0
0
0
8
2
4
4
16
16
16
0
0
18
18
1
8
0
16
16
16
0
20
0
8
8
0
1
12
4
4
20
32
0
0
0
0
0
0
0
8
16
16
16
1
1
17
0
4
4
0
4
4
24
9
9
4
16
16
16
16
16
16
16
0
24
0
0
0
0
0
0
0
0
0
0
2
16
16
16
0
8
8
0
0
1
1
1
1
16
0
0
0
2
2
0
0
8
8
16
16
0
8
8
8
0
20
20
20
0
1
1
60
60
60
16
16
16
16
16
16
16
16
16
0
0
8
0
20
20
20
16
16
16
2
2
2
16
0
0
0
8
8
1
5
1
0
8
8
24
0
0
8
3
8
8
16
16
16
16
16
16
0
0
16
16
16
9
4
0
0
8
8
8
50
0
2
8
20
0
4
2
0
16
32
32
0
0
0
8
0
0
0
0
32
32
32
32
32
32
16
0
0
0
0
0
0
4
4
20
16
0
0
0
2
2
8
8
8
12
0
0
4
4
0
0
0
3
3
25
25
25
25
25
0
0
16
16
38
38
38
16
0
16
16
16
8
16
16
16
16
16
16
0
0
8
0
0
4
0
0
8
8
8
19
19
0
0
16
16
0
0
0
0
0
0
0
0
0
8
8
16
16
0
0
0
8
8
8
16
8
8
0
16
0
8
0
16
16
0
0
0
0
0
0
0
8
8
0
8
8
48
48
48
1
0
0
0
0
0
0
0
0
8
16
16
16
0
0
0
0
1
1
1
16
0
0
8
0
0
0
33
8
20
20
0
0
0
0
0
0
8
8
0
8
8
8
8
8
4
1
0
0
0
16
2
16
1
1
1
0
0
0
0
0
16
16
16
16
8
8
8
8
0
0
8
8
8
8
8
8
8
8
0
32
24
0
1
0
16
32
32
1
8
0
2
8
0
0
1
0
16
16
16
16
0
0
0
0
0
0
0
0
0
0
0
9
16
41
0
0
8
8
16
0
0
0
0
0
1
1
1
0
4
4
8
32
24
40
40
4
16
16
16
8
16
16
16
1
1
1
1
16
8
17
17
17
17
17
0
0
0
0
4
4
0
4
4
0
0
24
24
18
26
8
8
8
8
8
1
1
16
2
8
16
16
8
16
16
16
0
0
0
0
0
0
16
16
1
1
0
20
1
0
8
8
16
16
16
16
0
0
0
16
4
4
4
0
0
32
0
0
0
0
1
8
8
8
0
0
0
0
0
0
16
8
8
0
0
0
1
8
8
8
4
4
4
4
4
16
4
4
4
0
1
0
0
16
16
16
16
1
24
21
0
0
0
0
0
4
4
4
0
17
17
4
8
32
32
6
6
1
1
0
0
16
2
2
0
0
0
0
0
4
0
0
1
16
16
16
0
0
0
16
8
0
1
8
24
24
0
16
16
0
0
2
4
16
16
16
16
24
16
0
4
8
3
3
3
0
0
0
0
0
8
0
32
32
32
0
8
8
16
16
16
0
8
8
8
8
10
10
10
5
0
0
0
0
0
0
0
16
24
24
24
2
2
16
16
16
0
0
0
8
4
4
40
40
16
32
0
0
16
16
4
0
0
0
8
8
8
8
8
0
0
0
0
0
8
16
16
16
24
8
26
0
0
0
0
8
16
0
32
32
2
1
2
2
0
0
16
16
8
0
0
2
2
2
2
4
12
0
0
0
0
0
0
0
0
8
8
8
16
4
0
0
8
2
0
0
0
0
0
8
16
0
0
8
4
2
1
1
8
1
1
16
16
0
0
16
16
16
16
16
0
0
0
0
1
0
0
16
16
16
2
16
1
8
16
16
16
0
0
0
0
0
16
16
8
8
8
8
8
8
0
10
0
8
8
4
4
8
8
0
0
16
0
0
0
0
0
2
8
0
12
1
1
0
0
0
0
0
0
0
0
8
0
16
0
0
4
0
0
0
0
0
8
8
8
8
8
0
8
8
1
0
0
0
0
0
0
0
16
16
16
16
0
0
0
0
0
2
1
1
0
0
0
0
8
8
0
0
0
0
0
0
0
16
16
16
16
17
16
1
1
16
8
16
16
16
16
16
16
16
16
0
0
0
0
8
8
8
0
16
24
16
8
8
8
4
4
40
40
40
40
8
8
52
4
0
28
32
48
4
0
16
0
2
0
8
8
8
0
24
0
0
0
0
0
0
35
24
2
18
18
18
1
16
9
9
8
5
16
1
8
16
16
1
8
8
0
0
16
16
8
0
0
0
0
8
8
0
0
0
4
8
8
8
16
0
0
4
8
8
8
1
1
1
1
4
9
9
0
0
4
0
16
8
0
8
0
0
0
0
56
8
0
8
8
8
0
16
32
8
8
18
16
16
16
8
16
0
2
16
8
1
0
8
0
4
2
2
0
0
0
0
32
32
8
16
0
0
16
32
32
0
16
0
0
8
8
8
16
0
0
16
32
0
24
0
8
0
20
2
0
0
4
4
4
0
0
0
0
0
0
0
0
16
16
8
20
8
8
8
8
8
8
46
8
8
8
0
0
0
0
10
10
10
0
8
8
1
3
1
16
16
0
32
32
32
16
0
0
16
0
2
2
2
0
0
0
0
0
0
8
8
4
4
4
0
18
8
8
8
0
0
1
8
0
0
0
0
0
0
0
0
0
1
0
2
8
2
2
0
0
0
0
0
0
0
0
0
1
8
0
16
8
0
0
0
0
0
1
1
1
1
0
8
4
4
8
0
17
9
9
9
1
0
4
0
18
8
16
16
16
0
0
0
25
8
0
1
8
8
8
20
9
9
9
8
16
2
2
2
60
8
16
20
20
0
0
8
8
0
48
48
48
48
16
16
4
0
0
0
0
0
0
0
0
0
0
0
48
0
0
8
8
8
10
10
10
5
5
8
8
8
0
0
41
4
0
2
1
8
1
1
1
1
4
4
4
0
1
1
0
16
0
0
32
32
8
8
0
2
24
24
24
0
16
8
0
0
0
0
35
35
35
16
0
0
0
0
0
1
1
20
20
20
8
5
5
5
1
16
0
0
0
0
8
8
8
8
4
4
4
1
1
8
16
16
8
8
8
8
8
8
0
8
8
8
0
17
17
25
25
8
0
0
0
0
2
16
16
16
16
5
8
8
12
0
0
24
24
16
0
16
8
8
8
0
24
8
0
0
0
24
8
8
16
8
8
8
4
8
16
0
0
0
4
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
0
0
1
0
0
0
0
0
0
0
2
2
16
16
16
51
51
0
8
28
28
0
0
0
0
16
0
8
0
0
0
0
0
0
26
26
26
16
1
8
16
16
8
8
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
4
0
16
16
25
25
25
25
0
0
0
0
0
0
0
0
4
1
1
8
0
9
9
4
8
0
8
16
8
0
0
0
16
16
16
2
2
2
2
2
2
2
8
24
16
16
0
0
4
4
0
0
0
0
0
16
8
8
24
0
4
4
0
0
0
0
0
8
8
16
16
16
16
35
35
35
16
1
1
0
8
8
11
8
8
8
0
0
2
2
0
0
0
16
16
16
0
0
0
0
0
0
0
0
0
8
26
26
0
32
16
40
16
16
8
8
0
0
27
26
0
0
0
0
16
0
2
0
0
4
4
0
0
1
16
8
0
0
8
8
8
16
12
0
1
1
1
0
0
0
0
0
18
18
16
16
0
0
4
8
8
8
0
0
8
0
0
0
0
4
16
0
8
16
16
16
16
4
4
12
16
16
8
56
0
0
16
16
8
2
20
8
1
2
24
2
2
8
0
0
0
0
0
1
17
17
0
0
2
2
2
16
32
32
32
8
4
1
0
0
16
16
8
0
0
24
8
4
0
8
8
0
2
2
16
16
16
0
0
4
25
2
2
0
0
32
8
0
0
8
32
32
16
16
0
32
32
32
32
0
12
12
4
16
8
0
0
0
0
8
8
0
0
0
8
0
8
8
8
4
4
4
0
0
26
26
8
24
24
0
34
34
34
34
34
24
24
8
16
24
0
0
0
8
8
0
8
3
3
3
8
16
16
8
8
0
0
0
4
17
1
16
0
29
16
16
0
0
0
8
8
8
8
8
8
8
20
0
0
8
23
12
12
0
16
16
16
0
0
1
1
8
8
8
0
0
8
0
0
0
2
8
8
16
16
4
8
0
0
8
8
8
8
2
2
8
0
0
0
0
16
17
16
16
0
0
0
8
32
16
0
0
0
8
8
16
16
2
16
8
0
0
0
0
1
1
1
1
1
32
32
32
32
32
32
32
32
16
8
8
0
0
0
0
8
8
8
8
9
9
9
16
16
0
0
0
0
2
2
2
26
26
16
16
16
16
16
16
16
0
0
0
8
1
0
3
8
8
0
0
8
40
8
8
8
1
0
8
8
16
16
16
0
1
0
1
8
8
4
4
30
24
0
2
4
0
0
0
22
0
0
0
4
4
16
0
32
32
0
0
0
0
0
0
0
8
24
0
0
0
0
0
0
0
56
56
24
4
8
0
0
8
4
0
8
16
2
2
8
8
0
0
16
0
1
1
0
0
2
2
0
0
2
2
2
2
2
2
2
2
0
49
49
8
5
8
8
8
0
16
16
16
16
16
16
16
16
16
16
32
32
32
0
0
0
8
8
0
32
0
16
16
16
16
16
16
16
16
2
2
8
0
0
0
8
1
0
0
0
0
0
0
16
1
0
9
9
0
4
4
4
16
16
16
0
0
0
8
8
0
0
14
4
4
0
0
4
0
0
16
16
0
0
16
16
0
0
0
0
0
8
40
16
24
16
8
0
8
2
2
2
0
0
16
0
0
0
0
0
0
0
1
1
0
0
8
0
0
0
48
0
20
4
4
8
9
8
16
16
0
0
24
24
0
0
0
8
8
8
1
18
25
25
0
8
8
8
16
16
16
16
16
0
0
0
16
11
0
0
0
0
0
0
1
3
0
8
8
8
0
0
5
0
16
16
0
0
16
16
16
4
4
4
8
0
0
0
8
2
0
0
0
0
0
16
8
0
8
8
0
0
2
2
16
8
8
8
0
0
0
1
1
1
1
8
8
0
0
4
4
0
0
0
8
0
0
6
16
16
8
0
0
0
0
0
8
4
4
4
8
8
57
8
8
0
0
0
0
0
0
0
0
8
0
0
0
0
0
24
8
0
0
16
0
8
16
16
16
16
24
16
16
16
16
0
16
16
16
16
32
8
0
0
4
4
0
0
0
0
2
2
0
0
0
32
0
16
16
16
8
8
8
8
0
0
0
0
0
0
0
0
8
0
40
40
16
16
2
2
2
16
16
16
0
24
24
0
0
0
17
0
0
0
8
0
0
8
8
8
8
4
35
35
32
0
0
1
0
32
1
1
16
16
16
8
8
8
8
8
0
0
2
2
2
57
0
8
0
9
0
0
16
16
0
0
32
0
0
8
16
4
8
8
4
4
4
32
32
8
32
32
8
8
8
8
8
0
0
0
32
32
0
0
0
0
8
8
8
8
0
8
8
16
1
1
10
10
12
8
2
2
16
0
0
0
0
0
28
28
28
0
4
0
0
24
24
16
16
16
2
0
0
8
8
8
0
1
0
0
0
0
0
0
0
0
8
1
0
0
18
0
16
16
0
0
0
16
16
16
4
4
4
0
0
0
18
18
18
18
18
18
8
9
10
0
1
0
0
0
0
0
0
16
16
16
16
0
16
0
1
1
5
0
0
0
0
8
8
24
16
16
0
8
13
13
13
16
0
17
8
32
32
16
16
0
8
0
0
0
0
0
8
16
2
2
2
8
8
8
8
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
0
1
4
20
16
8
8
0
16
32
0
8
0
0
8
0
0
30
8
16
16
16
0
0
0
16
0
0
0
0
16
16
1
1
16
4
4
16
8
2
0
8
8
8
8
0
4
4
16
16
4
4
1
8
0
2
8
0
0
16
16
8
0
32
32
24
0
9
8
0
16
0
57
24
8
8
8
8
0
32
32
4
8
16
0
8
8
0
0
16
16
0
24
24
24
16
11
0
0
8
8
24
0
8
8
0
0
0
0
0
0
0
0
32
32
0
8
8
0
0
0
16
8
8
8
0
8
8
8
0
8
8
0
0
1
0
0
0
16
0
0
0
18
1
1
8
8
0
0
0
8
8
0
24
24
4
0
0
0
0
0
0
0
16
16
0
0
0
1
0
0
4
8
4
12
8
0
0
16
8
16
0
0
1
0
1
1
8
8
8
0
0
57
8
1
8
24
16
8
16
16
16
16
16
0
0
0
1
20
4
4
4
4
4
16
0
1
8
8
8
8
8
8
32
16
8
0
16
48
24
24
4
18
16
0
8
38
0
0
0
0
0
0
0
0
2
8
0
0
16
16
16
16
16
8
8
8
0
0
16
16
24
8
8
8
8
0
36
0
4
4
0
0
1
1
1
1
1
0
0
8
8
0
2
0
0
0
0
0
0
16
16
4
16
16
4
4
17
0
0
1
0
16
16
16
0
0
0
0
2
2
16
8
0
8
8
8
8
8
8
0
0
0
0
28
0
0
0
0
0
16
25
16
16
0
0
0
16
16
56
56
0
0
0
0
2
2
0
0
0
2
0
0
0
16
16
0
0
8
0
0
22
22
22
4
16
16
16
16
16
0
0
8
8
0
16
16
16
0
0
8
8
8
16
0
0
0
0
39
0
49
8
0
0
0
8
1
4
4
0
0
0
8
8
0
8
24
24
0
0
0
0
0
0
32
32
16
0
0
8
0
8
0
0
0
4
4
4
8
0
16
1
1
1
4
4
10
2
18
8
8
8
8
8
8
8
8
0
0
1
32
32
0
0
20
0
0
8
1
0
16
16
8
0
8
1
0
0
8
8
0
0
0
2
2
2
1
0
0
0
2
2
2
16
16
0
0
0
16
16
0
24
8
0
10
10
16
12
12
12
12
24
4
24
0
0
1
16
16
16
32
2
2
2
2
2
8
8
8
24
1
33
33
8
8
1
1
0
0
0
0
16
32
32
8
8
8
0
3
3
3
4
4
8
6
6
6
0
1
0
16
0
0
0
0
0
0
16
8
2
0
10
4
0
0
24
24
0
0
0
0
0
0
4
17
17
0
0
16
8
16
16
0
0
12
0
16
0
0
32
0
8
0
16
16
16
8
4
0
0
8
8
8
8
8
16
16
16
16
16
16
16
8
0
0
0
1
1
2
16
0
16
22
0
0
4
4
8
12
12
16
16
16
8
0
16
0
1
16
16
4
0
0
32
32
0
4
0
24
24
0
0
0
0
16
16
16
16
8
0
0
32
32
32
32
16
8
2
8
32
0
0
0
0
16
0
0
0
0
0
0
4
17
17
0
16
10
16
16
16
16
16
16
16
16
16
0
0
0
0
8
0
0
0
16
16
16
0
4
4
16
16
16
16
16
16
8
8
8
8
0
16
16
4
8
40
0
16
16
16
16
16
16
16
8
8
8
8
4
4
4
4
0
0
0
4
4
0
24
1
1
16
8
8
0
0
0
16
3
8
16
0
42
42
16
16
16
0
0
0
16
16
16
0
36
36
8
8
8
1
1
1
1
8
8
0
4
4
8
32
1
1
0
0
0
16
0
8
6
6
0
0
16
16
16
0
8
8
4
16
4
16
4
8
1
8
0
0
0
16
16
16
16
16
16
0
0
0
9
0
16
8
0
0
0
0
0
0
0
0
28
28
28
9
0
8
8
8
8
8
8
0
0
8
0
0
0
16
2
0
0
8
0
0
0
0
0
8
20
1
16
16
16
8
8
8
8
8
8
8
8
0
0
0
0
8
8
8
8
16
1
0
16
0
0
0
0
0
0
0
4
4
0
0
0
1
1
1
2
2
8
8
8
8
8
8
1
1
16
16
0
56
0
8
8
0
0
16
8
29
0
0
0
0
0
8
0
0
0
0
8
0
4
16
0
8
2
21
0
8
0
16
0
0
16
0
4
4
0
24
24
24
0
2
0
0
8
2
0
8
16
1
0
16
0
19
6
0
0
0
8
8
8
16
16
8
2
2
36
16
0
0
16
0
0
0
8
8
8
8
0
8
8
1
8
8
0
2
18
2
0
8
12
0
0
16
16
2
2
0
8
32
4
1
1
8
8
0
0
0
1
0
0
0
0
0
0
5
16
16
16
8
20
2
2
2
1
0
4
2
2
2
32
0
1
0
24
0
8
8
24
16
16
16
16
16
16
0
4
8
8
8
0
0
16
16
0
40
40
40
40
20
4
0
0
0
16
16
16
16
0
0
0
0
8
0
0
0
0
16
16
16
4
0
0
0
8
0
0
0
16
24
16
29
16
16
0
0
0
8
0
3
3
0
6
16
0
8
2
9
0
0
0
0
0
0
0
16
16
16
0
16
16
16
16
16
16
4
4
4
4
0
8
32
0
32
32
32
32
32
0
0
8
8
52
4
0
0
0
0
0
0
8
20
32
16
16
16
16
16
16
16
16
16
16
8
8
16
16
32
1
1
0
0
0
0
0
8
0
2
0
0
0
0
0
0
16
16
0
8
2
0
0
16
16
0
0
16
8
0
0
0
0
0
8
8
8
8
0
0
0
0
16
16
12
12
0
0
8
2
32
32
32
32
8
16
16
2
2
2
8
8
8
0
0
0
0
0
0
0
8
8
8
8
0
0
1
1
1
8
0
32
8
8
16
16
0
8
0
0
0
0
0
1
1
0
5
8
0
2
2
2
2
0
4
0
16
16
16
20
8
8
16
16
8
8
0
0
0
0
0
32
0
16
0
0
0
0
0
8
0
0
24
0
9
24
24
24
8
0
25
1
0
0
0
16
4
4
8
8
8
8
0
0
8
1
16
0
0
0
16
0
8
8
8
0
0
0
8
1
0
0
4
1
1
26
8
8
20
20
8
8
24
16
1
1
0
0
8
8
16
16
0
0
16
0
0
0
5
5
16
0
0
0
0
8
8
24
24
0
0
16
4
8
0
0
0
0
0
0
16
0
0
16
0
0
8
8
8
8
0
0
8
16
16
16
16
8
0
0
0
0
0
0
8
0
8
1
1
1
1
8
40
0
0
0
0
0
0
16
16
8
16
16
16
8
16
40
40
8
0
0
0
0
0
0
33
0
0
16
16
0
0
0
0
8
8
16
0
0
0
16
16
8
8
8
8
4
4
4
4
5
5
5
1
0
0
0
4
16
8
8
8
16
10
2
8
8
57
57
57
57
57
0
8
0
0
16
0
1
16
16
16
2
0
0
0
4
2
0
0
8
0
0
8
8
8
16
0
0
0
8
0
39
39
8
16
16
8
8
0
0
0
1
0
0
2
2
2
2
2
0
0
0
57
57
57
8
0
0
0
0
32
0
0
1
1
8
8
8
8
8
8
8
8
8
8
8
0
4
8
8
18
18
0
0
0
0
48
48
0
0
8
0
8
8
8
8
8
2
0
0
0
0
0
0
0
1
0
8
2
2
2
2
1
4
2
2
8
8
0
0
0
0
0
0
0
0
0
12
12
12
12
8
8
0
9
0
0
0
0
0
0
32
2
2
2
2
2
16
16
16
16
16
0
24
16
8
12
0
0
0
0
0
8
1
1
1
4
0
0
0
0
0
16
16
16
8
8
0
0
0
0
17
17
17
17
1
1
1
16
32
32
8
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
24
8
8
0
2
2
2
8
16
16
16
16
0
8
0
0
8
24
1
9
9
0
0
9
10
0
0
8
8
0
0
0
0
16
16
16
0
0
0
0
4
4
1
1
1
0
16
16
16
0
0
0
0
8
19
16
20
0
0
16
0
0
0
0
0
0
0
2
0
16
16
16
16
16
16
16
32
32
32
0
0
16
16
16
8
0
0
2
25
8
8
8
8
8
1
8
7
7
7
7
0
0
0
0
8
8
8
8
8
0
0
2
16
4
2
16
16
0
0
0
0
0
0
0
8
8
0
0
0
0
0
8
32
1
1
1
1
1
0
0
16
16
16
16
2
16
16
0
0
0
0
0
2
2
2
2
16
8
8
8
8
9
4
4
0
0
40
0
24
8
2
2
0
8
8
2
0
0
0
0
0
24
24
8
0
5
5
16
17
16
16
1
0
10
0
1
1
1
2
8
8
8
8
8
16
16
16
16
16
16
0
8
8
16
0
20
20
0
0
16
8
16
16
2
2
16
2
2
1
1
16
16
16
16
8
8
0
0
0
0
0
0
0
0
8
8
8
8
8
1
0
16
4
0
0
0
0
0
48
1
8
16
8
0
24
0
16
4
16
16
6
6
8
8
0
0
0
8
8
0
4
16
8
0
8
8
0
0
24
8
49
49
9
9
8
8
0
8
8
17
0
8
8
16
8
12
0
0
0
0
0
1
1
8
16
16
8
16
16
0
0
8
0
0
0
8
1
1
1
16
6
16
16
0
0
17
17
17
0
0
0
8
8
0
2
9
0
0
0
16
1
8
0
10
0
8
8
8
8
8
16
16
16
4
4
0
0
0
0
1
0
8
0
22
22
22
22
20
20
16
8
4
1
16
8
1
1
1
1
12
12
0
0
16
24
8
0
0
0
0
0
1
9
16
16
4
16
16
0
0
0
25
4
4
4
4
8
8
8
8
8
0
0
16
0
0
2
2
2
2
2
16
16
0
8
8
8
0
0
8
25
0
8
16
16
0
8
0
0
0
8
8
8
16
16
48
0
16
32
8
0
0
0
0
0
19
19
8
20
0
0
8
8
16
16
16
32
32
4
16
0
0
4
0
0
0
0
0
0
16
16
2
8
8
0
0
32
32
8
1
1
0
16
8
8
16
8
0
0
0
16
16
16
1
2
32
20
20
8
0
0
0
0
0
4
16
16
16
0
32
8
32
32
32
8
16
0
0
0
0
9
1
8
0
8
8
8
16
16
8
0
8
8
8
0
8
16
8
4
16
0
0
0
9
9
9
8
8
0
0
0
0
2
2
0
32
16
0
1
8
0
8
8
4
16
0
0
0
8
16
16
0
0
0
0
4
0
0
0
0
0
1
1
1
0
0
0
8
0
0
0
32
33
33
8
0
8
8
10
0
0
0
0
8
24
24
0
0
2
8
8
6
6
8
16
16
2
3
8
0
0
8
8
0
0
32
32
8
13
13
13
16
16
16
16
24
4
0
32
0
0
0
8
0
16
8
8
19
0
1
16
16
16
24
24
18
4
4
8
8
8
8
32
32
24
16
16
0
8
16
0
24
16
0
0
0
8
8
16
16
0
0
0
2
2
8
16
8
8
20
20
20
20
20
20
20
0
0
0
16
16
16
1
1
0
0
0
1
1
1
16
16
17
8
8
16
16
16
16
16
16
16
16
16
16
0
0
16
16
16
1
1
0
56
16
16
8
8
8
0
0
0
0
0
8
0
0
16
0
8
40
8
0
16
16
16
18
0
0
0
16
16
0
0
20
12
1
0
0
9
16
16
0
16
16
16
8
0
0
16
16
48
8
8
16
1
16
16
16
8
8
8
8
8
8
8
8
0
8
8
5
5
0
0
0
0
0
8
0
2
2
8
8
8
8
0
0
0
2
2
2
2
16
0
0
8
8
8
1
16
16
0
8
0
0
0
0
0
8
0
17
0
2
2
2
2
16
1
1
0
0
5
5
5
0
0
0
0
8
8
8
8
8
8
0
0
0
4
4
4
4
2
2
0
0
0
4
0
1
1
1
1
32
16
16
8
8
8
32
16
16
8
8
17
17
37
0
8
0
4
2
2
0
0
0
10
0
32
0
0
0
0
0
0
2
0
0
24
3
0
26
0
0
0
0
0
16
0
6
0
0
0
8
0
24
4
4
0
0
0
0
7
7
0
4
0
1
8
0
0
8
0
0
8
17
8
4
1
1
0
0
16
0
36
4
8
8
8
8
0
8
16
0
1
8
16
16
0
8
4
16
16
1
0
0
0
16
16
16
16
16
8
2
2
8
8
8
8
0
0
28
28
28
8
8
1
0
4
4
4
8
8
0
0
0
0
0
0
0
0
32
0
8
8
8
0
16
16
8
8
8
8
0
8
0
0
0
0
0
8
16
0
16
1
1
0
1
0
16
16
16
8
0
0
8
16
16
0
0
0
0
0
0
56
0
0
0
2
2
0
0
0
0
0
8
16
8
0
8
8
8
8
8
0
0
0
8
8
0
16
8
8
16
16
2
2
0
0
8
16
0
1
1
1
1
1
8
40
32
0
16
0
0
0
16
16
8
8
8
8
16
8
8
8
0
0
16
16
0
0
0
0
16
16
0
0
0
16
0
0
0
8
0
8
8
8
0
0
8
9
9
9
9
0
16
5
5
5
5
5
8
8
8
8
0
0
0
0
0
0
0
32
32
0
32
32
32
16
16
8
8
8
8
0
0
0
32
0
0
32
32
32
20
20
20
20
20
20
20
20
20
0
16
0
24
8
0
0
0
0
16
16
32
32
32
1
0
0
0
0
16
0
8
0
8
8
4
48
8
0
0
16
0
0
0
0
16
16
16
0
0
32
8
16
16
8
8
0
0
8
8
0
1
1
1
0
0
0
32
32
0
0
0
0
0
16
0
8
8
8
0
0
0
0
0
6
6
6
25
25
8
0
1
20
20
0
16
16
0
8
0
0
16
16
16
40
0
0
17
17
17
17
0
0
0
0
8
16
16
16
32
16
24
0
20
0
0
1
16
1
0
8
8
8
4
4
0
0
4
4
0
8
0
0
5
8
0
16
16
16
1
2
2
2
8
8
4
1
8
8
8
8
8
8
0
0
0
0
6
0
8
16
16
16
16
4
0
0
0
8
8
0
0
0
0
8
8
8
8
8
8
0
16
1
16
8
8
8
16
16
16
16
8
0
0
25
25
25
25
25
2
8
32
57
0
8
8
0
16
16
16
0
0
0
0
16
16
16
16
16
0
4
8
8
21
21
8
8
0
8
8
1
0
0
8
8
24
24
0
0
8
4
16
16
1
0
0
41
14
0
0
0
8
8
0
0
0
0
0
1
0
0
0
20
2
2
2
2
2
8
8
32
32
16
8
4
5
1
20
20
0
4
0
0
8
8
8
8
4
8
0
0
0
0
0
8
0
0
0
8
8
8
1
8
0
32
8
24
0
4
0
16
16
16
0
0
0
16
16
16
16
4
4
0
8
0
0
0
0
8
0
1
16
8
1
1
17
0
0
0
0
0
8
1
0
0
0
0
8
0
0
0
1
1
16
16
1
1
1
2
0
0
0
0
0
8
0
0
0
24
16
16
16
16
8
8
8
32
32
10
8
16
0
0
12
0
0
1
1
1
1
0
0
0
0
0
48
48
0
4
4
16
16
16
16
0
1
1
1
1
1
0
4
4
56
0
0
16
8
16
17
2
16
8
8
0
0
0
0
0
48
48
8
8
20
4
4
4
8
0
0
0
25
25
25
25
25
1
8
0
7
40
40
40
40
0
8
8
0
0
0
0
0
9
0
8
8
0
0
0
16
0
0
0
0
0
0
0
0
5
5
16
16
16
8
32
8
8
8
0
0
0
0
0
0
0
0
0
0
8
8
8
8
4
8
0
0
0
0
0
0
16
32
16
16
4
0
0
0
0
16
16
16
17
17
0
16
16
16
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
4
2
4
8
8
8
0
16
16
16
8
8
0
0
24
24
0
16
12
0
2
2
2
2
0
28
16
0
8
0
0
16
0
8
0
16
16
0
0
0
13
13
13
4
0
8
4
4
4
4
4
0
0
0
0
0
8
8
16
22
0
8
8
0
0
2
0
16
16
16
16
16
0
0
16
16
8
0
0
32
32
32
1
1
1
1
1
1
1
0
8
0
0
0
1
1
8
8
8
8
8
4
4
4
8
8
8
8
8
8
8
0
16
0
8
8
8
8
8
8
0
0
0
0
0
0
0
0
0
16
0
1
8
0
0
0
0
0
0
0
8
0
4
8
0
0
8
8
0
2
2
0
16
16
16
16
8
4
8
0
0
0
0
16
0
0
0
0
0
0
8
8
0
0
0
16
16
16
16
16
4
8
8
8
8
0
0
0
0
8
8
8
0
0
0
0
0
0
16
16
16
16
0
0
8
0
0
0
8
8
8
4
4
0
36
36
36
0
0
4
4
0
0
0
0
0
4
4
4
0
16
16
16
0
0
8
8
0
8
8
8
16
16
16
16
0
0
8
2
0
0
0
8
8
8
8
8
0
0
0
0
16
16
16
16
8
8
8
8
8
8
1
1
0
0
0
0
32
0
0
16
8
0
57
0
0
4
8
8
8
8
8
8
8
8
8
8
0
0
2
2
1
1
0
0
24
8
0
0
8
8
8
0
8
8
0
0
0
8
2
2
16
1
0
0
8
8
8
32
32
16
0
0
0
0
8
8
0
8
8
8
2
20
20
2
8
8
16
8
1
24
24
24
8
8
2
32
0
0
20
0
0
0
4
4
4
0
0
0
0
0
8
25
25
8
8
8
0
4
8
0
0
0
16
8
8
8
16
16
16
16
16
16
16
0
0
0
16
16
0
0
0
0
16
20
20
8
16
0
0
0
0
0
16
1
1
0
0
0
32
16
16
8
0
0
0
16
8
8
4
0
0
21
21
0
9
49
8
0
1
6
0
0
4
4
8
8
0
12
0
24
16
20
0
0
0
0
4
8
32
8
0
4
17
8
8
6
4
0
8
8
0
0
0
16
0
0
8
8
8
16
1
1
8
0
0
17
4
8
8
1
16
0
16
8
8
0
0
0
24
0
16
16
0
28
16
8
8
1
8
8
32
8
0
16
4
8
8
8
8
0
0
33
33
33
4
0
0
0
16
16
16
0
1
1
4
4
4
0
0
16
1
9
16
0
8
0
32
32
8
8
8
0
0
8
0
8
15
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
8
8
0
16
0
0
32
0
0
1
24
24
0
0
2
2
53
0
0
0
0
0
24
0
0
8
25
0
0
0
0
0
0
0
0
48
48
48
48
16
16
8
0
10
10
8
25
8
1
8
0
0
2
1
0
1
1
1
0
8
8
16
16
0
0
0
0
0
8
8
0
0
0
1
8
8
8
8
8
8
8
2
8
8
8
32
32
4
6
6
16
16
8
0
0
8
8
8
3
0
24
24
0
0
2
0
0
8
8
8
8
0
16
0
24
0
0
8
0
0
0
8
8
8
8
8
0
8
8
8
8
4
0
8
8
0
10
10
8
0
5
5
5
5
8
0
0
0
0
0
0
0
24
0
0
0
1
1
3
0
0
20
0
8
8
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
32
8
8
8
8
8
0
0
8
0
0
8
17
2
1
1
1
8
16
0
0
1
8
0
0
16
0
1
1
1
0
1
1
1
1
8
8
3
8
0
0
0
0
40
8
8
0
1
16
16
16
8
8
20
20
20
20
0
16
16
16
16
16
1
16
16
8
0
0
0
0
0
4
4
6
0
0
16
18
16
24
24
8
8
8
16
0
4
1
8
16
9
4
4
4
4
4
0
8
0
0
0
8
0
8
0
0
0
0
8
16
0
0
0
16
0
0
16
16
16
16
16
8
8
0
0
0
0
0
8
8
8
8
0
0
32
32
16
0
16
16
2
2
8
24
24
24
24
16
16
16
16
8
0
0
0
8
49
0
16
8
24
8
0
0
0
0
0
0
0
0
16
16
17
4
0
0
0
0
0
8
8
0
16
1
1
8
8
8
4
8
0
0
8
8
4
4
0
0
0
6
0
0
12
12
12
0
32
0
8
0
0
20
33
0
0
0
1
1
32
8
0
0
0
0
0
1
1
1
0
0
24
8
8
0
0
9
8
8
8
0
8
9
0
0
0
0
32
0
0
1
0
0
8
8
8
12
12
0
0
8
8
8
2
0
8
8
8
16
16
1
1
2
16
0
16
16
16
16
0
0
0
0
21
21
16
0
20
8
8
6
0
1
1
0
0
0
8
4
4
4
16
20
40
16
16
16
16
0
0
8
8
8
0
28
28
20
16
2
4
4
0
0
0
0
0
0
24
0
0
0
2
8
4
4
4
4
8
8
16
16
16
16
10
9
9
32
0
0
0
17
16
4
8
8
8
0
16
16
16
16
16
16
16
0
0
0
0
1
0
0
16
20
16
4
4
4
4
20
20
4
4
4
20
20
0
0
8
4
8
0
32
32
0
0
18
0
8
0
0
8
0
16
2
24
1
32
32
1
0
2
4
1
8
0
0
0
0
16
16
16
8
8
8
0
0
32
0
0
0
0
23
23
24
0
0
0
0
18
18
18
24
24
24
5
24
8
0
0
0
1
0
0
0
16
16
8
8
8
0
0
8
8
8
8
16
17
17
8
4
1
0
0
0
8
16
8
8
8
0
16
0
1
1
49
16
16
32
4
4
4
8
8
8
0
16
16
0
0
16
0
0
8
0
24
24
8
0
16
16
0
0
8
8
8
8
8
0
0
0
8
0
4
4
4
4
4
4
0
0
8
8
0
0
3
0
2
2
2
16
16
16
16
16
0
0
41
16
16
0
0
0
8
4
4
4
4
4
4
8
1
16
0
0
0
2
2
2
2
8
8
8
8
2
16
16
16
16
24
8
0
8
28
28
28
28
8
0
0
18
18
18
18
0
16
16
8
4
4
16
16
2
2
2
2
0
0
0
0
2
32
32
4
4
0
0
16
16
2
8
16
16
16
0
16
32
0
8
8
16
16
0
8
0
0
0
8
0
0
0
16
8
8
0
0
0
24
0
0
8
0
0
0
0
8
8
8
1
1
1
0
0
0
28
4
16
16
32
0
16
0
16
4
0
0
0
24
24
24
24
24
24
24
24
24
24
4
0
0
8
8
7
8
8
2
2
0
0
0
24
8
6
2
2
2
2
8
8
8
0
0
16
16
16
16
16
8
8
0
8
16
16
24
0
0
0
0
0
20
0
16
8
8
8
0
0
0
17
24
8
8
8
16
0
0
0
8
0
0
0
28
0
0
24
16
16
0
0
0
32
0
0
34
24
0
8
8
4
4
2
4
16
32
16
8
8
2
0
0
4
0
8
0
12
0
4
4
0
0
0
4
16
24
0
0
0
0
4
16
16
16
16
0
0
2
0
0
1
1
8
8
2
1
16
16
8
8
8
8
4
4
0
0
0
16
16
0
4
4
4
16
16
16
16
0
2
8
0
8
8
8
8
8
8
0
16
8
8
8
8
8
0
0
0
0
0
28
8
1
1
1
1
16
9
16
8
2
16
16
16
8
0
8
8
8
1
1
16
16
4
4
16
16
16
45
0
16
0
0
0
8
16
16
16
16
16
8
4
9
9
9
0
2
2
2
0
16
8
8
8
8
8
8
0
0
16
0
0
0
0
0
24
8
8
8
8
0
0
2
1
8
0
4
4
8
8
8
0
0
0
8
8
0
17
16
16
8
0
0
0
24
24
24
8
0
0
0
0
2
2
8
9
1
0
0
0
8
0
0
0
16
16
0
0
0
20
20
8
8
16
16
0
16
16
16
4
4
4
4
0
0
8
8
8
0
25
25
0
16
0
16
0
17
16
0
0
0
16
16
61
0
0
0
0
0
0
0
0
0
0
8
8
16
16
8
8
8
14
14
2
2
1
8
8
1
1
1
1
8
8
8
8
0
8
16
0
0
16
16
4
4
4
4
0
4
4
16
16
16
0
16
0
0
0
16
16
16
16
20
0
0
0
16
16
16
0
1
16
4
2
0
0
41
41
41
1
0
26
26
26
0
8
2
0
16
16
0
8
8
0
0
0
0
0
0
8
8
20
8
16
16
8
0
0
4
16
0
0
0
0
8
1
1
4
4
4
4
8
8
8
8
0
0
0
8
0
18
18
34
8
8
9
9
36
36
0
0
0
0
24
1
1
8
0
0
0
0
0
0
0
0
8
0
8
16
16
16
16
16
16
0
16
16
16
16
16
24
16
6
8
8
8
1
1
1
1
1
1
1
0
0
0
4
16
16
16
0
0
8
8
16
16
16
16
8
0
0
8
8
8
8
4
16
16
16
16
16
16
0
8
8
8
1
24
24
24
24
0
8
8
24
24
8
8
4
2
2
2
0
17
17
17
8
8
8
16
8
8
0
0
0
10
0
0
0
0
8
0
8
0
0
1
1
1
1
1
16
0
16
16
16
16
0
8
16
8
0
16
16
16
24
24
16
16
8
8
8
0
0
0
8
8
0
16
0
1
0
16
16
16
16
16
16
16
16
8
0
0
0
17
0
0
0
8
1
1
1
0
18
18
18
1
8
16
16
1
8
2
2
4
4
0
24
16
24
0
0
0
4
4
8
0
16
16
0
0
12
0
0
0
0
16
0
0
0
8
8
0
1
1
0
4
0
0
0
0
8
0
0
16
16
0
16
9
9
9
9
2
2
0
0
8
8
0
0
0
0
1
1
0
24
0
16
0
16
8
8
8
8
8
0
0
52
3
24
1
1
0
0
0
16
16
16
8
8
16
8
0
0
0
16
4
8
20
24
24
0
2
28
1
1
8
8
60
9
9
1
16
16
16
20
8
24
0
8
4
0
0
8
0
0
1
8
8
8
8
8
0
16
1
8
8
4
4
4
16
16
0
0
16
0
32
0
2
8
8
0
8
8
8
0
0
0
0
0
0
8
0
0
8
8
24
0
8
24
24
24
24
24
0
16
16
16
16
16
0
1
8
8
8
24
0
0
0
8
0
0
16
16
16
24
24
0
32
8
0
0
0
0
0
18
0
8
8
24
0
0
0
12
8
16
0
1
1
1
16
2
2
16
0
1
4
8
2
4
4
4
4
1
0
16
0
0
0
21
0
0
0
0
0
8
8
8
8
8
17
1
1
0
0
0
16
0
8
8
1
1
1
1
8
24
0
4
4
4
8
16
16
16
0
0
2
4
1
4
4
19
0
1
8
8
1
1
1
1
1
1
1
8
9
16
16
32
8
0
3
3
8
0
1
1
8
0
0
0
0
0
0
0
8
0
0
16
16
8
8
16
16
0
1
1
1
4
16
1
1
1
24
0
0
0
16
16
16
16
0
8
4
0
0
12
16
2
2
8
8
0
8
8
0
0
0
0
0
0
0
0
4
8
0
0
0
0
0
0
14
14
14
14
8
8
0
0
0
0
16
16
16
16
16
16
8
8
8
6
6
6
16
16
16
8
8
8
0
10
0
4
32
32
0
8
8
8
8
16
16
0
16
1
0
8
24
24
0
0
8
16
16
0
0
0
4
4
8
0
0
1
8
16
16
16
12
0
0
0
0
0
0
8
8
16
0
0
8
8
10
1
1
1
0
0
14
0
25
25
25
0
8
8
8
4
12
16
0
8
0
32
0
0
0
0
16
28
28
28
0
0
0
8
8
24
24
9
9
1
1
1
16
2
2
16
44
44
44
16
0
4
4
4
4
8
0
0
0
16
16
16
16
16
4
8
8
0
0
0
0
32
32
16
16
0
0
0
0
8
0
0
0
2
49
49
4
4
4
4
16
16
16
1
1
0
16
0
0
16
0
6
0
32
16
8
0
8
1
0
0
0
4
24
4
4
16
0
0
0
0
0
24
0
16
8
0
2
2
8
8
1
1
8
8
8
16
0
32
0
2
20
0
1
0
0
8
0
0
8
8
8
0
8
4
4
4
0
8
32
0
4
4
0
0
0
9
2
1
0
0
0
0
0
18
32
32
32
0
0
16
24
8
8
8
16
16
0
0
16
16
0
0
20
20
8
8
8
8
8
8
8
8
24
24
24
16
0
0
0
0
32
0
0
28
8
36
36
4
32
32
0
0
24
24
32
45
8
8
0
24
24
24
24
30
1
0
0
0
0
0
8
8
0
0
0
0
0
0
1
0
0
0
16
0
6
6
12
0
25
25
17
17
17
8
0
16
8
0
8
8
8
0
9
9
0
8
8
8
0
0
20
0
0
0
0
0
8
8
8
8
0
0
16
16
1
1
1
1
1
17
0
0
8
8
16
20
2
8
8
8
8
28
17
17
8
8
8
16
0
8
8
0
0
0
0
16
16
0
0
20
20
20
20
8
1
0
8
8
8
8
8
8
1
16
0
0
0
0
0
0
1
8
0
0
0
0
0
0
0
8
0
0
16
16
16
16
16
24
24
24
4
0
16
16
16
8
0
24
0
0
0
0
0
0
0
8
8
0
16
16
16
0
8
8
8
8
16
8
12
12
16
8
4
32
0
0
0
16
8
8
8
16
16
8
2
0
0
1
1
4
32
32
8
8
8
8
8
16
16
10
0
0
16
0
0
30
32
0
0
0
8
8
8
8
32
4
4
16
16
16
0
0
17
17
1
1
1
1
1
1
16
21
21
0
8
16
16
16
0
0
0
0
0
20
12
8
8
12
4
8
8
16
1
16
16
16
8
8
8
8
8
8
32
0
0
0
0
0
16
16
0
8
0
8
8
8
8
0
0
0
0
0
0
0
8
8
16
8
16
10
8
8
8
48
16
16
16
16
1
1
0
0
0
0
0
8
8
8
4
4
16
16
8
0
0
0
16
4
0
0
0
8
0
0
0
0
0
0
0
0
20
0
0
0
0
0
0
0
0
0
0
0
0
40
40
16
24
0
4
40
8
8
16
16
0
8
8
2
2
2
12
8
1
16
0
8
0
1
8
33
1
1
1
8
0
4
54
0
0
0
0
0
0
8
61
61
61
61
16
8
8
32
32
32
0
0
40
40
8
8
0
0
8
2
2
2
8
8
8
0
3
8
0
0
8
8
8
8
8
8
0
0
0
1
4
1
0
0
2
0
0
0
0
0
4
1
0
0
0
0
0
4
0
8
8
8
0
0
8
8
0
17
17
6
6
24
0
8
8
8
5
5
5
0
0
0
42
42
42
20
8
1
1
32
32
32
32
8
8
8
0
0
0
0
0
16
4
4
16
8
8
10
10
8
8
0
9
8
16
16
16
16
16
16
16
1
0
0
0
16
16
4
0
4
4
9
9
9
16
0
0
4
8
16
16
16
16
8
16
16
0
0
16
16
8
16
0
0
16
16
1
48
16
40
40
40
0
33
33
8
0
0
4
4
0
0
0
32
8
0
8
16
8
0
8
0
0
9
12
8
1
0
0
0
2
2
16
4
32
8
4
4
18
8
8
24
16
16
0
1
8
8
4
0
8
8
16
0
0
0
0
0
2
8
0
0
0
0
32
16
16
16
40
8
8
8
1
0
0
0
0
0
16
0
2
0
0
0
0
0
0
0
0
0
0
1
61
8
8
0
0
16
0
0
0
4
4
8
16
0
8
8
34
0
35
4
4
4
4
4
16
0
16
8
8
8
8
8
8
24
0
0
16
16
0
0
0
0
0
0
0
1
1
17
0
1
8
0
0
0
0
0
16
16
0
2
2
2
48
16
16
16
16
0
0
0
0
16
0
0
8
40
40
0
0
0
8
8
1
8
6
0
0
0
16
16
28
4
16
16
16
4
4
4
4
4
9
2
16
18
18
24
8
0
0
0
8
8
8
8
8
8
8
8
2
0
0
0
0
0
0
0
0
0
0
0
18
18
16
0
16
8
8
0
0
0
0
0
3
32
4
5
5
12
8
8
8
8
1
1
1
8
16
0
16
8
40
40
40
24
8
18
18
0
0
0
8
8
8
4
4
0
1
0
0
10
4
4
0
0
0
0
1
1
1
1
8
16
16
16
16
16
0
0
0
24
24
8
4
8
8
8
5
5
16
16
0
0
0
0
8
20
8
8
8
0
0
8
8
8
16
16
0
1
1
8
8
8
0
0
0
0
0
0
0
0
16
8
2
2
0
0
0
16
16
16
0
0
2
2
4
16
16
16
1
16
16
16
0
8
8
8
0
0
8
8
8
16
0
2
0
0
0
0
16
16
16
16
16
0
16
16
16
16
16
8
8
8
0
0
0
0
0
2
1
1
12
12
0
0
8
8
0
0
4
16
0
0
0
10
10
1
0
16
0
8
0
16
42
42
42
25
25
0
0
0
0
0
8
8
0
0
4
0
0
0
0
8
8
8
8
12
12
8
2
2
2
0
0
0
0
4
4
2
9
8
8
16
16
16
0
0
6
6
6
0
0
0
0
0
0
1
24
16
16
16
16
16
32
1
0
0
16
0
0
0
0
0
16
16
0
16
8
8
8
24
24
8
16
16
0
0
0
0
8
0
0
0
0
16
16
32
0
8
0
8
8
8
0
0
4
0
8
16
16
0
0
0
0
0
0
16
16
16
16
8
8
0
0
0
0
0
0
8
0
0
0
1
1
0
1
1
1
1
1
1
0
0
0
0
4
12
0
0
0
8
0
24
24
32
32
16
16
16
16
16
0
0
0
0
0
0
0
16
0
8
0
20
20
0
10
0
0
8
0
16
8
8
8
24
24
16
16
16
1
0
0
8
8
8
16
16
16
16
16
16
16
16
0
0
24
22
0
8
0
16
16
8
24
0
16
8
8
8
8
8
8
0
0
0
0
0
8
8
8
2
0
0
0
0
0
0
0
0
0
2
0
0
2
21
16
12
8
0
0
0
0
0
0
0
0
8
16
16
16
16
0
0
0
0
1
8
4
0
0
0
0
0
4
0
0
19
8
8
8
42
42
0
0
0
0
0
0
2
0
0
0
16
0
0
8
16
32
32
32
32
32
32
4
0
20
20
2
0
16
16
16
8
8
8
8
8
8
0
16
16
16
16
16
0
0
1
0
0
0
17
17
0
0
1
41
41
41
41
41
0
0
0
0
0
16
16
0
8
40
40
0
0
32
16
22
22
22
16
24
0
16
16
16
32
10
10
10
10
0
0
0
0
0
0
39
9
0
0
4
12
12
12
8
8
18
8
8
16
4
4
0
0
0
0
17
1
2
2
16
16
16
16
16
16
16
0
0
0
8
8
8
8
8
8
16
0
0
0
0
1
0
8
8
8
8
0
0
1
1
8
4
4
0
0
8
8
8
0
0
0
0
0
4
4
0
2
2
2
2
0
0
0
32
1
0
0
0
0
4
4
4
4
0
0
0
0
0
0
0
16
16
11
11
0
0
0
4
0
10
10
10
10
10
10
10
10
10
16
17
24
8
8
8
0
8
8
8
8
8
8
8
16
16
16
4
16
0
0
0
0
4
16
16
8
0
0
0
16
16
16
0
0
0
0
8
16
8
8
4
0
0
17
17
16
13
13
16
16
0
8
0
21
0
0
0
0
0
0
0
0
0
1
8
8
8
8
10
2
16
8
32
32
0
0
0
8
8
16
0
4
4
4
0
0
0
32
16
0
16
0
0
0
0
0
8
8
8
0
0
0
24
0
0
12
12
8
8
16
8
0
0
0
0
8
8
0
0
8
8
8
0
0
8
16
16
0
0
0
8
8
8
8
8
8
8
8
0
16
1
0
8
0
16
16
24
24
8
32
1
1
4
0
40
0
0
8
8
4
1
10
32
32
32
32
0
0
18
18
2
0
0
0
0
8
4
0
16
16
16
8
8
8
8
1
16
0
16
12
12
12
24
8
8
8
16
16
16
8
8
8
0
4
8
0
0
0
0
8
8
0
2
0
2
2
8
8
8
0
0
0
0
0
16
16
16
16
16
16
2
8
36
36
36
0
0
1
17
8
16
16
16
16
16
0
16
16
4
4
4
4
8
0
0
0
0
0
0
16
0
0
8
19
19
16
16
8
8
8
8
8
8
0
0
0
0
16
0
8
16
16
0
8
0
8
32
0
0
0
0
0
0
0
8
2
2
16
16
8
16
16
0
8
16
8
8
0
0
0
0
0
8
16
16
0
0
0
0
0
24
8
8
0
0
0
2
2
2
18
8
8
8
8
0
0
0
0
8
8
8
32
9
9
9
0
8
32
18
0
8
24
24
16
0
16
4
4
4
2
16
16
8
8
0
0
0
0
4
4
1
1
16
0
0
0
0
4
0
0
0
0
8
8
8
8
17
17
24
24
0
0
0
0
0
0
0
0
0
8
0
1
1
1
40
16
20
20
20
0
0
0
4
0
16
16
0
8
8
8
8
8
16
0
0
0
4
4
4
0
0
0
0
16
0
0
18
10
8
2
2
0
0
0
0
0
0
42
42
42
42
17
4
4
0
0
4
0
0
4
0
32
32
8
0
0
0
0
0
0
0
0
4
16
16
16
16
16
16
16
8
4
8
8
8
4
8
8
8
8
8
15
15
0
0
16
16
24
24
16
16
32
0
0
8
16
9
9
9
9
8
8
8
16
16
16
8
0
0
0
0
2
0
2
1
0
16
16
16
16
0
0
0
0
16
1
1
1
8
16
0
24
24
0
0
0
0
0
0
0
0
0
0
8
0
0
0
1
1
8
0
0
0
24
4
4
0
0
0
0
0
0
2
0
0
0
0
0
0
0
8
8
8
40
0
0
17
17
0
0
0
1
8
8
2
0
4
8
8
0
0
0
2
0
0
8
0
4
4
4
1
1
0
16
16
8
8
4
0
0
0
0
0
4
4
4
4
4
4
4
4
0
2
2
16
16
16
16
16
16
28
8
1
0
0
0
0
16
0
8
32
40
8
17
0
0
0
8
8
0
0
8
16
16
16
16
16
4
0
0
0
0
0
16
16
4
0
16
16
16
0
0
0
16
8
0
0
23
22
8
8
16
16
16
8
4
4
0
14
0
8
8
8
7
7
9
5
8
16
16
16
0
8
0
0
0
8
2
2
2
2
16
8
34
8
8
8
8
8
32
0
0
0
0
16
16
8
8
8
32
7
16
16
0
0
0
0
0
0
8
28
4
4
0
1
2
8
8
1
2
8
8
8
8
8
0
4
8
0
0
8
8
56
0
0
0
0
0
0
0
0
0
0
0
16
8
0
0
8
2
48
48
0
0
0
0
22
22
0
0
0
8
0
0
0
0
0
16
0
8
0
1
16
8
8
0
16
0
8
8
2
0
42
42
0
4
0
16
0
0
0
8
7
0
0
1
1
8
8
16
16
0
4
0
16
0
0
0
0
4
0
18
18
0
0
18
8
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
8
8
0
0
0
20
0
0
16
0
0
2
2
4
4
18
0
8
0
0
8
8
16
0
16
0
0
0
0
0
0
0
16
0
0
8
0
0
16
18
60
60
60
16
0
0
24
16
0
16
2
0
0
0
0
0
4
4
16
0
0
0
0
0
0
16
0
12
16
0
4
4
0
0
0
0
12
12
4
24
0
0
0
0
24
0
4
4
0
8
0
2
0
0
0
16
16
0
8
0
1
0
0
0
16
0
16
0
16
0
8
4
0
0
0
0
2
8
8
8
20
0
8
8
8
0
16
8
8
0
2
8
8
8
8
8
8
22
0
0
0
8
16
0
4
16
16
32
4
0
0
0
1
0
4
0
12
8
0
18
0
8
8
16
0
0
0
0
1
0
16
17
16
0
24
24
1
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
2
2
4
0
8
8
0
8
0
0
20
0
0
0
11
8
8
9
0
28
0
0
4
20
0
0
0
0
0
0
0
0
28
8
16
12
0
17
17
4
2
0
0
0
0
0
24
0
6
0
0
0
0
8
0
0
0
4
4
0
0
0
8
8
0
8
4
0
0
0
0
8
8
8
16
4
4
4
4
8
0
16
16
2
2
32
32
16
16
8
0
16
0
0
0
0
0
0
2
2
0
0
0
0
0
4
16
0
2
2
2
4
8
0
0
0
8
8
0
0
24
0
32
8
0
0
0
0
0
0
16
0
8
0
8
8
16
0
0
0
0
0
0
0
0
8
0
8
2
0
0
16
8
0
0
0
0
8
18
0
0
4
4
0
0
0
0
0
0
16
1
8
8
0
0
16
16
0
43
43
43
17
16
8
0
0
0
4
4
1
0
4
0
16
0
0
8
2
24
0
0
0
0
0
0
0
0
8
16
16
16
16
16
16
16
0
0
0
16
16
0
0
8
8
4
4
0
0
4
16
16
0
0
8
0
4
0
0
5
5
0
0
0
0
0
6
8
0
4
4
0
12
0
8
0
0
0
0
0
36
0
0
0
0
4
4
8
8
8
8
4
16
16
0
0
1
4
0
0
0
4
8
0
0
8
20
20
0
0
0
0
0
0
0
4
4
0
8
0
0
0
0
4
4
0
0
0
0
9
0
0
8
8
0
0
0
0
0
4
0
28
2
8
16
1
20
0
9
0
8
8
8
0
0
4
0
8
8
16
0
0
8
0
2
25
0
0
8
8
8
0
0
2
8
8
0
0
0
8
8
16
8
16
0
0
0
0
0
0
8
16
6
0
0
8
8
8
8
16
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
4
4
4
8
20
20
0
0
0
4
4
4
0
0
4
4
0
8
1
16
0
9
0
0
8
0
0
0
8
8
8
8
0
0
0
0
16
0
0
0
0
16
0
0
8
0
0
0
0
0
0
0
0
1
0
0
16
16
0
16
8
24
4
4
4
4
4
4
4
8
8
0
16
0
0
8
8
1
0
0
10
0
16
0
0
8
0
1
1
1
0
22
20
2
1
2
8
4
4
0
27
27
0
4
4
4
4
0
0
0
0
0
0
4
8
24
0
0
0
0
8
0
0
16
4
32
0
0
1
0
0
32
0
0
3
3
3
3
0
8
0
0
16
16
0
0
0
20
20
20
0
0
8
8
16
8
0
16
16
16
0
0
0
0
0
0
2
2
1
0
0
0
0
0
0
8
8
8
0
0
8
8
8
8
8
8
8
8
0
0
0
0
0
8
0
8
0
0
8
0
0
0
8
0
0
32
2
0
0
0
0
16
8
8
0
0
0
16
0
13
0
36
0
0
2
2
0
0
8
0
0
0
0
8
0
8
0
0
1
0
0
0
0
0
4
0
0
8
8
9
16
0
4
1
0
0
0
0
0
0
0
0
14
0
0
0
0
0
8
0
0
0
0
24
8
4
8
0
0
0
8
0
1
8
20
16
16
0
0
0
0
0
18
8
0
0
60
8
8
8
2
2
16
16
1
1
8
0
0
16
4
0
0
0
0
8
0
0
0
4
12
0
33
0
0
8
1
16
16
0
0
0
0
0
0
0
16
0
8
0
0
0
0
8
8
0
8
8
8
8
8
8
4
4
4
24
0
0
0
0
16
16
0
16
16
16
0
24
0
2
0
0
0
8
4
0
0
8
8
2
0
1
1
16
0
4
4
0
0
0
0
0
0
4
48
0
0
1
0
0
0
0
24
0
0
0
0
8
0
0
0
16
0
4
0
1
1
24
0
0
0
0
0
0
8
8
8
8
8
0
8
1
0
0
0
0
0
0
0
0
0
4
0
8
0
0
8
8
1
0
0
4
8
24
24
0
8
8
0
8
16
16
8
8
32
0
20
20
0
20
16
16
0
0
0
0
0
32
0
0
0
16
4
0
16
16
16
0
8
8
0
0
0
16
0
8
0
16
0
0
0
8
2
0
16
56
1
0
0
0
0
0
0
0
0
0
8
0
0
0
8
21
2
0
16
0
8
0
8
10
16
3
0
0
0
8
0
0
0
0
0
0
0
2
24
0
0
0
8
0
0
0
0
0
0
16
4
0
0
0
4
0
0
0
0
0
2
8
8
8
4
56
2
16
16
16
16
16
16
16
0
0
4
0
10
8
8
8
30
30
0
0
1
0
0
0
0
0
0
0
0
0
0
16
16
16
0
0
8
0
4
8
0
0
0
0
20
0
8
8
0
0
0
0
0
4
4
0
1
0
16
0
0
16
0
0
0
0
0
0
0
1
0
8
4
2
8
0
0
0
0
0
0
0
8
0
40
16
16
0
0
0
0
0
0
3
3
30
16
16
0
0
24
16
8
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
20
0
0
8
0
0
16
16
0
8
0
0
0
0
4
8
8
0
0
20
0
0
0
0
0
0
0
16
16
8
2
2
0
0
8
0
8
8
0
0
0
0
0
0
25
0
0
25
0
0
0
0
0
24
0
20
0
0
0
0
8
0
0
16
16
0
0
0
0
4
4
4
0
0
2
0
16
16
1
4
4
1
0
0
0
0
0
16
8
0
0
0
0
0
0
2
0
0
0
8
4
0
0
16
0
0
8
0
0
20
16
8
8
0
18
18
18
0
16
0
24
0
0
4
8
0
0
0
0
0
16
0
0
4
8
4
22
0
0
0
0
16
16
0
0
0
0
1
0
8
8
8
16
0
0
8
0
0
0
8
0
28
0
0
8
0
0
0
0
0
32
8
4
4
4
0
0
16
16
0
0
16
16
16
0
2
2
16
0
0
0
0
0
0
0
0
0
0
4
4
0
0
0
0
0
8
8
8
8
8
0
0
8
0
0
0
8
8
0
8
8
16
0
0
0
0
0
0
0
16
48
48
16
48
48
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
16
0
0
0
0
0
0
8
8
3
3
16
16
0
0
0
1
20
0
0
0
0
0
16
16
19
1
16
16
8
33
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
1
0
6
0
0
0
0
12
8
8
8
8
8
16
1
0
0
0
0
1
18
18
8
0
0
0
0
2
0
0
0
8
0
1
1
0
0
0
0
4
0
8
16
0
0
18
0
0
0
0
9
9
0
0
16
0
8
8
0
16
0
0
0
0
0
0
4
0
0
1
8
0
16
0
0
0
0
4
4
0
8
8
1
1
1
1
4
0
8
8
62
16
16
16
16
8
8
8
0
4
0
8
8
8
0
0
0
0
0
0
0
0
8
0
0
0
26
0
0
0
0
0
8
0
0
0
0
0
21
21
21
24
4
4
4
0
0
0
16
4
1
0
0
0
0
0
0
0
8
0
0
0
0
0
8
16
16
2
16
16
8
0
24
24
8
0
0
8
8
0
0
0
0
8
13
8
8
16
0
16
0
0
10
0
0
0
0
0
0
0
0
0
8
8
17
0
0
0
0
8
4
0
0
0
16
26
0
0
8
8
32
32
0
8
16
0
0
16
0
0
0
0
0
0
2
8
16
0
0
0
0
8
0
8
0
0
0
4
8
8
0
0
0
4
16
8
0
16
8
0
20
0
0
0
0
24
24
8
0
0
0
0
0
8
0
0
32
0
0
2
0
0
0
0
0
1
0
0
8
0
0
0
0
16
0
8
0
8
17
17
0
16
0
0
8
0
0
0
16
24
0
8
8
8
8
8
16
0
0
0
0
0
20
0
0
0
13
0
0
0
8
8
8
8
0
16
8
0
0
0
0
8
0
0
0
0
0
1
1
0
0
0
24
9
0
8
0
8
16
0
0
0
16
0
0
0
8
0
0
0
0
0
1
0
6
21
21
0
0
0
0
0
0
0
16
16
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
16
0
16
16
32
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
8
0
0
0
0
12
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
0
0
16
0
0
0
0
0
0
16
16
16
16
0
0
0
0
0
0
8
16
0
0
0
0
8
0
0
0
0
16
0
0
33
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
16
0
0
16
16
8
0
0
0
0
0
20
0
0
0
8
0
0
4
0
16
0
0
0
0
0
0
0
16
8
8
8
8
8
8
8
8
8
8
0
0
0
2
0
0
0
16
0
8
0
0
16
8
8
2
0
0
0
0
0
0
0
0
6
16
16
0
8
0
20
20
0
0
0
2
16
16
16
16
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
8
24
24
24
8
0
0
0
0
8
4
4
8
8
0
10
0
0
4
0
8
0
0
0
0
0
8
8
8
32
8
0
9
0
0
0
0
0
0
16
8
8
0
0
0
0
2
2
0
0
0
1
32
1
0
0
0
0
8
8
12
0
0
0
0
12
12
24
0
0
0
0
0
0
0
0
0
8
0
1
0
20
20
20
0
0
0
28
28
0
0
8
8
0
8
0
29
0
0
0
0
16
16
0
0
4
2
2
0
0
0
0
0
0
0
24
0
0
0
0
16
16
0
0
4
0
0
0
0
0
16
0
2
0
32
16
4
8
0
0
0
0
0
0
16
8
8
0
0
0
0
8
0
0
0
16
0
0
0
0
0
8
1
1
0
32
0
0
0
0
0
4
0
8
8
20
4
0
0
8
2
0
0
12
16
16
16
0
0
0
4
0
0
0
0
28
0
0
0
0
0
0
0
0
0
0
0
20
0
0
0
0
0
8
8
0
8
8
0
16
16
1
0
0
16
16
8
0
0
20
0
0
0
16
8
8
8
8
8
0
2
20
4
0
0
24
8
0
0
20
0
0
0
8
8
0
16
8
8
8
8
8
0
8
16
16
0
0
0
8
8
32
0
0
0
0
0
16
16
16
16
0
8
0
0
0
8
16
0
0
0
0
4
0
8
8
4
4
0
4
17
12
0
0
0
0
0
4
0
0
18
8
8
8
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
5
0
0
16
0
0
0
0
0
0
0
0
0
0
0
18
11
28
0
0
0
8
8
8
48
48
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
8
8
0
0
0
0
0
0
0
0
16
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
8
8
0
0
16
0
0
0
0
2
2
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
20
0
0
0
0
8
0
0
16
16
4
4
0
0
0
0
5
0
0
2
2
0
0
0
0
0
0
0
0
0
0
16
0
0
0
4
17
0
0
0
2
8
0
0
0
0
0
16
0
0
0
0
0
40
0
4
4
16
12
0
0
44
44
0
16
1
0
0
0
0
0
16
16
16
0
8
8
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
20
20
20
20
20
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
17
17
0
20
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
8
0
0
0
6
0
0
0
16
2
2
16
0
0
0
0
0
0
8
8
0
0
0
0
0
0
48
0
0
0
0
0
0
0
0
0
40
40
16
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
24
0
0
0
0
8
8
8
0
2
8
8
16
8
0
0
2
2
16
8
8
0
0
0
0
0
0
8
0
0
0
0
16
0
0
0
0
0
0
0
0
2
8
16
0
0
4
4
0
0
16
8
8
19
0
16
1
1
0
0
0
20
16
0
0
17
17
8
0
1
0
0
0
0
8
8
16
16
0
0
0
0
4
4
0
0
0
0
0
0
0
0
1
18
4
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
3
0
0
0
16
1
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
4
8
8
8
8
17
8
0
1
0
0
0
0
0
1
1
0
0
8
16
0
0
0
8
20
0
16
16
1
0
0
0
0
1
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
48
8
0
0
32
0
0
0
22
41
0
0
16
0
0
0
0
0
16
8
0
22
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
8
0
1
4
0
0
0
16
16
0
0
0
0
0
0
16
1
0
22
0
8
8
0
4
6
0
0
0
0
8
0
0
0
0
2
2
2
4
10
0
0
0
8
16
0
8
0
0
8
8
0
0
8
0
8
0
0
0
4
4
0
0
0
4
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
16
0
0
8
8
0
0
0
0
0
2
2
0
0
0
0
0
1
1
0
0
0
0
0
1
8
8
0
4
8
24
0
0
8
8
8
0
0
0
0
0
16
0
0
0
0
0
0
0
0
4
0
8
8
32
0
0
0
0
0
0
0
0
0
0
0
0
24
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
4
4
0
0
4
4
4
1
0
0
0
8
8
4
4
0
16
0
0
0
0
0
12
0
0
0
0
0
0
16
4
0
0
0
0
4
0
16
16
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
16
0
0
0
0
24
0
0
8
8
8
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
4
0
0
0
0
20
0
0
0
0
8
24
8
8
0
0
0
16
16
0
0
4
4
0
8
0
0
4
0
0
0
0
0
12
8
24
0
0
16
0
8
4
4
0
0
4
8
0
4
0
0
4
4
4
16
0
0
0
0
0
0
0
0
16
0
16
0
0
8
0
0
0
0
0
4
0
0
0
0
0
6
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
8
8
8
8
0
16
16
4
4
0
0
1
0
0
4
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
32
42
16
24
8
8
0
8
8
4
4
4
4
0
0
0
0
4
2
0
0
8
8
0
0
0
1
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
17
24
0
8
8
0
0
0
8
8
0
0
0
2
0
16
0
0
0
0
0
0
0
0
8
6
6
0
0
0
0
0
16
0
0
0
0
8
0
0
0
42
0
4
4
0
1
0
0
0
0
0
0
4
0
0
16
0
0
0
0
0
8
0
4
0
0
0
8
0
0
2
2
2
0
8
2
1
1
1
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
2
0
4
0
0
0
0
0
0
1
0
20
0
8
16
8
0
8
24
4
16
0
25
0
0
0
0
2
8
0
0
8
0
0
0
8
0
0
0
0
0
0
4
0
4
1
4
0
0
0
12
0
32
0
0
0
8
0
0
0
0
0
1
1
0
0
8
0
2
0
0
0
0
0
8
12
0
0
0
0
4
0
8
0
0
0
0
0
0
0
4
0
16
16
0
0
0
0
16
0
1
0
24
2
0
0
0
0
0
0
0
56
0
0
0
16
8
0
0
0
24
0
0
12
0
4
0
0
8
8
8
0
0
0
0
28
28
4
0
0
0
0
0
1
16
4
0
0
0
0
0
0
0
16
0
0
0
0
4
4
8
0
0
8
0
8
16
0
0
8
4
0
0
32
0
0
8
0
16
0
18
0
22
17
16
0
0
0
0
0
0
16
0
2
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
20
2
8
0
0
16
0
0
0
16
20
20
0
8
10
8
0
0
0
16
8
0
8
0
0
0
0
0
0
0
0
0
0
0
16
16
0
8
0
0
0
0
0
0
4
0
0
12
0
20
0
0
0
0
0
0
0
0
1
0
0
0
0
0
16
0
8
8
0
0
4
8
8
8
8
8
18
0
0
0
0
16
0
9
9
9
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
40
0
0
0
0
0
4
4
4
0
8
4
0
0
8
0
0
0
0
0
16
2
0
20
0
0
0
0
0
0
16
16
16
4
0
0
0
0
0
0
0
0
16
24
0
0
4
0
0
0
0
0
0
0
0
0
44
8
0
0
0
0
0
1
0
0
0
0
20
0
0
17
16
4
4
0
0
0
0
0
16
16
0
0
0
8
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
16
16
51
0
0
0
0
0
0
0
4
8
8
13
8
0
0
0
0
0
0
0
0
1
1
0
0
0
8
0
0
0
2
2
8
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
16
12
0
0
0
0
0
0
0
0
8
4
16
0
0
0
1
12
0
4
0
0
0
0
0
0
8
8
8
8
49
0
3
16
8
2
2
2
0
0
0
0
0
0
0
8
8
8
1
1
1
0
0
4
0
0
0
0
0
16
0
0
0
0
24
0
8
0
0
0
2
2
0
0
0
4
20
0
0
25
20
8
0
16
16
16
0
0
24
0
30
30
0
0
0
0
0
0
0
8
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
8
0
0
0
0
26
0
0
8
8
8
0
8
8
0
8
8
8
32
32
16
4
0
0
0
0
8
0
8
8
0
0
4
0
8
1
0
4
21
21
0
0
0
0
0
0
4
16
0
16
8
1
1
1
8
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
16
0
8
0
4
8
8
4
2
2
0
0
0
4
4
0
24
8
0
8
0
0
0
0
16
0
8
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
16
16
0
0
0
0
8
8
4
16
16
0
0
0
0
0
1
1
0
0
8
8
20
20
20
0
0
16
16
0
0
0
0
0
0
4
0
0
0
8
8
8
0
8
8
1
0
1
1
1
1
1
0
8
0
0
1
0
8
0
0
8
8
1
16
24
24
19
19
8
0
0
0
0
8
8
2
0
0
0
0
16
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
8
0
0
0
0
0
0
8
0
0
0
17
8
8
24
0
8
16
0
0
0
0
0
0
0
2
2
0
4
0
0
0
0
4
4
0
0
0
0
0
0
0
16
0
0
0
0
0
16
0
1
8
0
0
4
4
4
4
0
0
0
0
8
0
8
8
8
0
0
0
8
8
16
0
0
59
1
8
16
0
0
0
0
16
0
2
0
32
32
0
0
0
4
0
0
0
0
8
0
0
0
0
0
16
0
0
0
0
16
16
0
0
0
8
0
16
8
8
0
8
8
0
0
0
0
0
0
0
0
0
0
0
40
40
40
20
0
4
2
16
16
0
0
0
24
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
58
58
2
4
0
2
0
0
8
18
0
0
24
0
0
8
0
2
2
0
0
8
8
8
0
0
4
0
0
0
0
0
0
0
0
0
24
0
0
0
0
8
0
0
0
8
16
0
0
0
0
0
16
16
0
0
8
8
16
0
0
0
8
16
0
0
0
2
0
12
16
16
0
0
26
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
16
0
0
0
0
16
2
0
1
0
0
8
0
0
0
8
0
0
57
57
57
57
25
0
0
0
0
0
0
10
0
8
8
8
0
0
0
8
8
8
0
8
0
1
0
0
0
0
0
0
16
0
8
0
0
0
0
0
16
8
8
0
8
0
0
0
0
0
4
1
32
32
32
0
0
2
16
0
0
8
0
5
0
0
0
0
0
0
16
16
16
16
0
0
0
0
0
1
0
0
0
0
0
4
0
8
8
8
8
0
0
0
2
16
0
0
20
16
0
0
20
20
8
4
4
24
32
0
0
0
0
0
0
0
1
0
8
0
0
0
16
0
8
8
0
8
1
0
0
0
0
0
2
2
0
0
2
0
0
0
0
0
0
0
0
24
8
20
0
0
0
0
0
12
8
12
0
0
0
8
8
8
0
6
0
1
16
0
11
11
0
0
0
0
0
2
2
0
0
0
0
0
0
0
0
16
8
8
0
0
16
6
6
0
0
0
8
8
0
8
0
1
40
0
0
0
0
8
0
0
0
0
0
4
4
0
16
0
0
0
8
0
0
0
16
0
4
17
17
0
0
0
8
8
0
0
0
4
4
36
16
0
0
0
0
0
4
4
4
4
0
0
8
4
0
0
8
8
8
0
8
8
0
0
16
16
0
0
0
0
0
0
0
0
8
8
8
8
0
0
0
5
0
16
0
0
0
0
0
0
0
0
8
0
0
0
8
43
43
43
43
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
25
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
12
12
12
0
0
0
0
0
8
0
0
0
8
8
2
0
0
0
1
16
16
8
8
0
0
1
8
4
4
0
0
0
0
0
8
8
8
8
0
0
8
8
8
8
4
0
24
0
0
0
0
5
8
0
0
0
8
0
8
0
8
0
8
4
0
0
0
8
8
8
0
0
0
0
8
8
8
8
0
4
0
2
24
0
4
20
0
0
0
0
0
0
0
0
0
1
1
1
1
1
0
0
2
8
0
24
24
24
0
0
16
16
16
0
0
0
0
0
0
8
0
0
0
0
2
0
0
0
1
1
8
0
0
24
6
0
0
0
21
4
4
16
16
11
0
0
8
0
9
0
32
32
8
25
25
25
25
0
0
4
0
0
0
0
0
1
0
0
0
16
4
4
0
0
0
0
8
0
24
0
8
0
0
24
24
16
0
0
0
0
21
0
26
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
3
0
0
2
0
0
8
0
0
8
0
0
0
0
0
0
24
8
18
8
0
0
0
0
0
16
0
8
0
0
0
19
0
0
0
0
16
0
0
8
1
0
0
0
6
0
0
0
0
24
0
0
0
0
0
2
8
25
4
0
8
4
4
0
8
16
0
0
0
0
8
0
0
9
0
24
56
56
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
12
0
8
0
0
0
0
0
0
20
0
2
0
0
0
8
8
8
4
8
0
0
16
18
8
8
0
8
0
0
0
43
0
8
0
16
6
0
0
8
0
8
8
8
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
8
16
0
4
0
0
16
0
0
0
0
0
0
8
8
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
9
9
0
0
6
8
0
1
8
2
2
4
0
0
0
0
0
6
4
4
0
0
0
0
0
0
0
2
0
1
0
3
3
0
22
22
0
0
0
8
4
4
0
16
16
0
0
0
0
16
16
8
0
0
24
0
0
0
0
0
0
0
0
0
8
0
0
0
0
8
0
0
0
48
48
0
1
0
0
0
0
2
4
0
0
16
48
0
0
2
0
16
16
18
18
0
0
6
0
0
2
0
0
8
16
19
0
0
0
16
4
0
0
0
0
0
0
0
0
8
32
0
0
0
0
12
0
8
0
0
0
0
0
24
24
0
0
0
8
0
0
0
0
1
0
0
0
8
8
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
2
4
10
0
0
0
0
0
0
0
0
8
8
8
0
16
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
1
0
16
0
0
0
8
17
0
16
16
4
0
16
0
0
0
0
24
0
42
0
1
1
8
8
8
8
0
0
0
0
0
0
0
8
0
48
48
8
16
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
1
0
8
0
24
0
8
8
0
0
0
0
0
0
0
0
0
0
6
0
0
16
16
16
16
16
16
16
16
16
16
0
0
0
0
0
0
0
22
0
0
0
0
0
0
0
2
8
0
0
0
0
4
4
0
16
16
8
8
0
0
0
16
8
0
10
0
16
0
0
0
0
0
0
12
0
2
8
4
4
0
24
24
0
0
0
0
16
0
0
0
0
0
0
8
8
0
0
1
0
18
16
0
0
0
0
0
2
0
0
1
16
0
2
0
0
0
0
4
0
8
22
0
4
0
0
8
0
8
2
2
2
33
0
0
0
8
0
0
0
0
0
0
0
13
13
9
8
1
0
0
0
0
0
0
32
0
0
4
0
0
0
0
0
0
8
0
0
0
0
0
4
0
0
4
8
0
0
8
0
2
0
0
0
0
0
0
0
0
8
0
0
0
8
8
8
0
8
8
8
8
0
16
0
0
0
0
0
0
0
0
4
0
0
0
0
0
8
16
0
0
0
8
0
0
2
2
0
0
24
24
0
0
0
2
8
24
0
1
8
0
0
0
4
4
4
0
3
0
0
0
0
18
0
0
16
0
0
0
0
4
4
4
0
0
16
0
0
0
0
0
0
0
24
9
8
0
24
4
0
0
0
0
0
0
0
0
0
8
1
0
0
0
8
0
0
0
0
0
0
8
4
0
0
0
0
4
0
1
1
0
0
2
8
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
1
9
9
0
0
8
0
8
4
8
8
8
16
4
16
0
2
0
16
16
0
0
0
0
17
0
0
8
8
0
0
2
0
4
4
2
0
0
0
1
1
0
0
0
8
0
0
0
1
55
0
0
0
9
4
0
0
8
8
0
0
0
0
0
16
0
0
0
0
16
8
0
0
0
4
4
4
0
1
8
8
0
0
8
8
18
18
18
16
8
8
8
0
0
8
0
0
0
0
16
2
0
8
0
1
8
8
37
0
4
58
58
58
0
0
0
0
8
8
24
0
0
0
24
24
4
0
8
16
0
0
0
0
0
1
1
0
0
4
8
8
0
0
16
16
16
16
0
16
8
1
0
4
0
0
0
8
0
16
16
0
0
0
0
0
8
8
0
16
0
8
24
8
16
16
16
16
8
8
0
0
32
32
0
0
8
2
2
2
8
4
0
1
1
1
0
8
8
8
8
1
0
16
0
0
8
0
0
0
16
16
8
0
0
0
0
0
0
0
16
16
16
16
8
8
20
20
8
8
8
0
4
0
9
0
8
0
0
0
4
4
4
0
0
0
0
0
0
0
0
0
0
8
0
0
0
2
0
8
8
8
0
0
0
1
0
0
0
0
4
0
18
2
0
8
16
1
0
4
0
2
0
0
0
0
8
0
0
0
0
8
0
0
0
24
4
0
0
16
0
0
0
4
0
0
0
0
8
8
8
0
4
0
8
4
8
1
0
0
8
0
0
0
4
2
0
0
16
0
4
5
2
2
16
16
0
0
0
8
8
8
8
8
24
0
0
0
0
0
0
0
4
16
0
8
8
8
0
1
0
0
0
0
0
0
2
0
0
0
0
0
0
1
0
0
0
0
0
16
0
0
8
9
4
20
0
0
0
1
1
8
0
8
0
8
8
4
0
16
16
16
16
0
0
8
20
0
0
0
0
0
16
0
8
0
0
0
0
0
0
0
0
0
8
0
8
0
1
8
0
0
16
16
2
8
42
0
0
2
0
0
0
8
8
10
0
0
0
20
16
16
8
4
0
0
0
0
6
16
0
0
8
0
0
8
8
8
0
32
32
0
0
0
0
2
16
26
8
24
2
2
2
2
2
0
32
0
0
0
0
17
16
32
0
4
8
8
8
8
0
8
8
8
8
8
8
8
0
0
8
8
0
0
0
0
0
0
16
0
0
0
8
8
16
16
0
0
0
8
0
8
16
16
16
16
0
0
0
0
8
16
0
0
1
1
1
16
2
2
2
0
0
0
0
4
12
2
8
16
0
0
0
0
0
9
0
4
4
4
0
0
0
0
0
0
0
0
0
0
0
19
16
0
8
0
0
8
8
0
0
0
8
16
0
0
16
8
0
0
0
2
2
8
16
16
16
0
16
16
0
0
8
8
8
0
0
8
0
1
4
0
1
1
16
0
8
5
0
6
1
16
0
16
16
0
8
16
0
0
0
0
14
14
8
0
8
8
8
8
8
8
0
4
16
0
2
0
0
0
0
0
8
4
8
24
24
24
0
1
8
8
0
0
0
0
16
4
4
4
0
0
0
0
0
0
2
0
0
0
8
0
0
2
0
0
0
4
8
0
8
0
8
0
16
16
0
8
8
0
0
0
0
0
8
8
0
16
1
0
0
8
1
0
1
0
8
8
0
8
8
33
0
4
0
0
0
0
0
0
0
0
0
40
0
0
0
0
0
16
16
0
12
12
12
12
0
8
0
4
16
16
0
24
8
8
8
0
0
0
12
0
0
8
8
0
2
8
8
0
0
0
16
16
16
0
44
0
8
16
16
0
4
0
4
0
0
0
8
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
16
0
0
4
0
43
4
16
8
8
16
16
0
16
16
0
16
16
8
8
0
0
0
0
16
16
4
0
0
8
0
16
4
4
4
0
0
0
0
0
0
0
0
0
16
0
8
1
56
4
4
8
8
0
18
4
0
0
8
8
0
0
1
0
0
0
0
16
16
4
6
8
0
0
0
16
16
0
0
16
0
4
4
8
0
0
4
0
8
16
0
0
4
4
0
16
16
16
0
4
16
8
0
32
0
0
0
8
8
8
16
8
8
0
0
0
0
0
0
8
0
0
0
0
4
4
16
0
16
16
16
16
0
0
2
0
8
8
8
8
8
0
8
0
0
0
24
24
0
0
0
0
0
0
0
1
1
16
8
16
4
8
8
10
10
0
0
0
24
16
16
0
0
4
8
8
0
0
0
0
8
0
0
0
0
0
0
0
4
16
0
4
56
8
0
0
16
0
0
0
0
0
0
8
8
8
8
8
8
4
4
4
0
0
0
0
0
0
12
0
8
8
16
16
0
0
8
27
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
1
1
32
32
0
8
0
0
33
32
32
8
1
1
4
0
0
4
16
2
16
20
8
1
8
16
16
2
0
0
0
0
16
16
24
0
16
4
0
0
0
0
0
0
8
0
0
0
0
0
16
8
0
34
0
0
0
8
8
16
16
0
0
8
0
8
0
0
1
8
8
0
1
0
0
0
16
2
8
0
0
0
0
0
8
8
0
0
0
0
16
53
0
8
0
0
0
0
2
0
8
8
8
0
1
1
1
16
0
0
24
0
12
2
0
0
8
0
0
1
0
0
0
0
0
0
0
16
0
16
16
0
0
0
0
0
8
8
1
4
4
4
0
0
16
2
2
2
32
0
1
2
2
2
2
4
16
56
8
16
5
8
0
0
0
24
24
24
24
24
24
24
24
8
0
8
8
0
0
0
0
16
16
0
0
0
8
8
16
1
4
4
8
8
0
0
0
0
0
1
2
16
16
0
0
16
8
16
8
1
0
0
0
0
8
8
24
8
8
4
0
0
0
0
0
0
8
0
8
8
8
8
8
8
0
17
58
58
16
7
8
8
0
0
16
16
0
0
0
0
52
52
52
20
0
17
4
26
4
4
0
0
0
8
0
0
0
0
0
4
4
4
4
8
16
0
4
4
4
0
8
8
0
0
0
0
16
0
0
0
0
0
16
16
0
2
0
0
0
6
8
8
0
0
0
4
33
3
1
16
16
16
16
16
16
4
4
4
8
0
8
8
1
4
4
4
16
16
0
0
0
0
0
1
1
8
0
26
8
0
16
18
0
4
0
0
0
0
0
0
2
8
8
8
0
0
0
0
0
16
3
0
8
1
1
0
0
16
8
0
0
0
0
16
16
0
0
8
0
0
10
0
0
0
8
0
0
0
0
0
4
2
0
0
0
0
1
24
2
8
22
0
0
0
24
0
32
4
4
0
0
1
8
8
0
0
0
8
0
0
16
16
33
0
0
0
16
0
0
8
0
0
2
0
0
8
8
4
2
2
24
8
28
16
0
8
2
2
1
0
0
50
0
40
16
6
0
8
0
4
4
0
0
8
8
0
0
0
1
0
16
40
0
16
0
0
4
0
8
0
0
25
0
8
8
0
8
0
4
0
0
4
4
0
0
0
16
16
16
1
1
6
0
16
20
0
0
0
59
0
8
48
0
8
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
16
16
1
8
16
16
4
4
0
8
0
16
16
0
0
8
8
0
0
0
0
0
0
0
17
0
0
0
0
0
0
2
1
1
0
0
0
0
17
17
0
8
8
8
0
4
0
0
2
32
0
4
8
8
0
8
2
0
0
0
0
0
16
16
0
0
0
0
27
0
1
8
8
8
16
16
16
8
14
14
16
0
8
28
13
8
0
8
20
25
25
0
8
24
0
32
32
32
9
0
0
4
0
0
0
8
4
1
4
8
0
8
0
0
2
0
8
8
8
0
0
0
16
16
16
2
2
16
16
16
8
0
8
0
0
0
8
4
0
2
0
0
8
0
0
0
0
1
16
0
0
16
0
8
0
0
0
8
8
0
0
24
24
24
0
0
16
0
0
0
0
8
1
4
4
0
16
16
2
0
0
0
0
0
0
8
24
8
0
0
0
8
22
22
22
8
8
18
0
8
0
0
0
2
16
0
0
0
0
0
0
32
16
8
0
8
24
0
0
2
8
0
16
0
0
8
1
8
8
16
1
1
1
1
0
8
0
2
20
0
16
16
16
0
1
1
1
16
16
0
0
0
0
16
16
0
0
0
10
0
0
0
0
16
0
0
0
16
1
1
8
8
8
16
0
32
0
0
0
8
0
8
16
1
0
12
12
12
16
8
16
16
16
8
0
8
0
0
0
8
8
8
4
16
4
0
32
32
32
0
0
8
0
8
0
0
0
0
0
0
8
8
0
0
18
0
0
0
0
0
0
0
0
0
8
16
16
0
0
0
0
0
0
2
2
2
0
16
16
0
0
2
16
8
0
0
0
18
8
8
8
8
0
4
4
4
4
0
0
0
0
0
8
0
16
4
4
4
4
8
8
8
8
8
8
8
8
16
0
8
0
0
0
0
0
0
8
16
0
0
1
0
0
40
8
1
0
0
20
24
8
8
8
0
0
0
8
8
8
0
8
12
0
4
16
16
0
0
0
0
0
16
0
0
8
8
0
0
0
0
4
2
0
0
0
16
0
0
0
0
0
10
10
0
4
0
0
0
4
0
0
0
0
0
0
0
8
0
0
0
8
0
0
8
0
0
4
8
8
8
1
1
4
4
4
16
1
1
0
0
12
8
8
8
2
2
0
0
2
0
4
8
8
16
16
0
34
0
0
8
8
16
0
0
0
0
0
8
8
0
0
0
0
8
8
0
0
0
0
8
0
0
32
16
16
1
0
0
0
0
8
0
0
8
0
0
0
0
8
8
8
0
0
0
0
0
0
8
0
0
0
0
0
8
8
8
1
1
1
1
8
8
0
1
25
25
16
8
8
8
0
8
0
0
0
8
1
8
4
0
16
0
0
16
0
8
4
0
0
0
4
4
16
8
0
0
16
0
8
8
8
0
20
0
0
0
16
16
0
0
0
0
0
8
16
0
16
4
2
1
16
16
16
0
31
0
8
0
4
0
0
6
6
6
6
0
0
16
16
16
16
16
16
16
0
0
0
1
2
0
0
12
0
0
0
0
0
16
4
4
8
8
8
1
44
1
16
16
16
8
0
0
0
0
8
49
49
16
0
0
0
0
0
0
0
2
2
0
4
4
0
20
0
0
0
0
0
16
16
16
0
0
0
0
57
8
8
8
8
16
16
16
16
0
0
4
16
0
0
1
0
0
0
0
0
8
8
0
0
0
0
0
0
8
1
0
0
0
0
0
45
8
4
0
0
0
8
8
0
0
1
8
8
16
0
0
0
24
0
16
28
16
8
19
0
0
8
0
0
0
0
0
0
0
0
0
4
4
8
0
8
0
32
32
8
0
0
4
16
0
8
0
0
8
16
0
0
0
0
0
0
1
25
0
8
0
8
0
4
4
8
0
0
0
0
16
16
1
0
8
8
0
0
25
25
0
0
0
16
16
16
16
20
20
20
20
20
0
8
24
0
2
2
0
0
0
0
16
0
0
8
8
4
4
20
8
8
8
8
8
8
16
9
16
4
2
2
0
10
10
0
8
1
1
1
16
17
17
0
0
4
4
4
0
8
16
16
16
16
0
0
0
8
8
4
4
4
0
8
8
0
16
8
0
8
0
0
2
0
0
4
18
18
16
32
0
20
0
16
20
20
0
0
0
18
18
0
0
0
2
2
2
0
0
12
0
0
0
0
0
0
0
0
0
8
0
16
0
0
0
2
0
0
0
0
8
36
36
8
8
0
8
8
16
16
25
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
16
0
0
2
2
0
0
0
0
1
0
16
16
0
0
48
32
32
32
0
0
0
0
8
8
0
8
8
8
0
0
20
1
0
8
8
4
16
16
2
2
0
0
8
8
0
0
0
0
16
0
0
4
8
0
0
32
28
0
0
0
0
0
1
0
0
0
0
0
8
8
8
0
0
4
8
8
8
8
8
8
0
8
2
0
3
1
1
0
0
0
1
0
0
8
0
8
0
0
8
2
8
16
16
16
16
16
16
8
8
8
2
0
8
0
2
2
3
55
55
8
8
8
0
16
8
8
0
0
8
8
0
0
0
0
0
0
32
8
8
4
0
0
0
0
16
0
0
0
2
2
0
0
0
0
16
0
2
0
0
0
0
0
0
32
0
0
0
8
0
8
32
0
16
16
16
1
0
0
8
0
0
8
0
0
0
0
0
0
0
8
8
8
0
0
16
16
1
0
8
0
16
16
16
16
16
16
16
0
0
0
0
0
0
0
0
4
0
0
0
0
8
16
0
0
0
0
0
0
0
16
0
8
1
1
1
1
16
16
16
0
5
8
8
8
0
0
2
2
8
0
0
0
0
0
0
0
0
8
0
8
1
0
8
16
16
8
0
0
0
8
16
5
2
0
6
32
32
4
0
16
0
13
13
1
8
4
4
0
16
1
1
4
10
2
0
36
36
0
0
0
0
0
0
0
8
0
8
32
0
0
16
0
0
0
8
8
8
0
0
0
16
0
0
0
0
32
8
0
0
0
0
0
16
0
24
0
0
8
8
40
8
8
8
0
0
8
17
0
8
0
8
0
0
24
8
8
0
32
0
0
0
4
0
2
2
8
8
8
4
0
16
16
16
1
0
4
0
0
0
0
0
0
16
16
8
0
0
16
4
5
5
5
5
5
16
2
8
8
8
16
0
0
0
0
0
0
16
0
28
8
0
0
8
8
9
9
9
9
0
0
24
0
0
1
0
0
0
0
0
12
0
4
4
0
0
0
0
0
0
8
0
0
0
0
0
0
2
0
0
0
0
16
16
32
0
0
0
24
8
0
0
8
8
0
0
0
0
8
18
8
8
0
0
0
0
0
0
0
24
24
17
17
17
4
8
8
8
0
0
1
8
16
0
0
0
0
20
16
16
4
0
16
8
0
0
16
16
16
16
0
8
8
32
0
16
16
16
1
1
16
16
16
16
0
4
8
8
0
24
24
0
8
3
8
8
8
0
8
8
4
0
8
0
0
0
2
16
27
2
4
0
0
0
2
0
0
33
33
33
24
0
8
8
8
8
8
4
0
0
22
0
2
0
0
8
0
0
0
0
8
0
1
2
38
8
8
0
16
8
8
0
0
9
9
0
0
4
4
4
4
0
0
0
8
0
26
8
0
16
0
9
9
0
0
0
0
4
0
0
16
32
8
0
0
0
16
16
0
1
0
0
0
0
2
0
0
0
0
0
8
0
4
8
0
8
16
16
8
8
16
8
0
0
4
4
20
2
0
8
8
0
0
0
25
16
0
0
0
4
0
20
20
8
0
8
0
8
0
1
0
0
0
0
0
0
0
44
0
8
0
0
1
0
16
2
2
0
0
0
8
8
0
8
16
0
32
8
8
8
8
8
8
0
0
0
0
0
0
8
8
8
0
0
8
16
0
16
8
0
0
0
4
0
0
0
8
0
0
8
0
8
0
0
0
8
8
8
8
0
0
8
0
8
2
2
8
0
0
32
16
32
8
8
0
12
8
8
0
8
8
0
2
2
0
0
0
0
0
0
8
0
0
0
0
0
0
0
2
0
0
0
0
8
0
0
0
0
28
8
8
16
26
8
2
24
0
1
0
0
0
8
1
1
0
0
2
0
8
0
0
8
24
16
4
4
12
0
0
0
0
16
16
4
16
0
16
16
0
8
0
0
0
0
4
8
0
0
0
16
2
0
0
0
0
0
0
0
8
0
0
0
0
0
8
0
4
16
17
16
8
0
0
4
0
1
0
0
0
4
4
0
0
0
16
1
1
35
35
0
0
0
4
0
16
16
16
0
0
0
0
0
24
8
0
0
40
40
8
8
8
0
0
0
0
0
0
8
0
0
8
8
16
0
1
1
0
16
8
8
16
0
0
32
8
0
0
16
17
8
8
8
8
0
2
8
0
0
0
0
20
0
0
0
8
0
0
4
6
8
4
0
0
0
16
16
0
0
0
8
8
8
16
0
16
0
0
0
1
0
16
0
0
0
0
0
16
16
0
8
0
0
16
16
0
16
8
9
16
4
0
0
0
8
26
0
0
0
0
0
0
0
4
0
16
18
16
8
8
0
0
8
1
16
0
0
0
0
1
8
0
0
0
16
16
16
0
0
0
0
0
8
40
8
0
0
0
0
16
16
0
8
8
0
0
0
0
0
8
0
0
0
0
0
25
20
0
8
16
16
16
0
8
18
0
0
0
0
0
0
0
0
8
8
8
16
0
0
4
0
8
8
8
8
8
8
8
0
0
8
0
0
0
0
0
0
8
4
4
8
0
0
8
8
0
0
0
16
0
0
0
24
1
0
0
0
0
0
16
8
8
28
28
12
12
0
0
0
0
3
8
24
0
0
0
0
16
8
8
0
0
0
0
16
16
0
0
0
3
4
0
0
8
16
0
0
12
12
12
8
8
8
8
8
8
2
2
2
4
4
4
0
8
0
0
0
16
2
2
0
8
0
0
0
0
0
8
8
16
16
16
16
16
16
4
4
25
0
0
0
0
0
0
48
0
4
0
4
4
0
32
0
4
0
8
0
8
16
32
0
0
16
16
1
0
0
0
0
0
2
0
0
0
0
8
8
0
0
8
0
0
12
12
12
1
16
0
0
0
32
4
0
4
0
0
0
0
4
16
0
0
8
8
0
0
0
24
16
0
0
0
0
0
0
0
0
0
0
0
0
2
2
0
8
0
8
8
0
0
0
0
8
0
4
4
0
16
0
0
0
2
0
4
0
16
4
0
0
0
8
8
1
0
4
4
0
0
8
8
8
4
2
2
4
0
0
0
0
32
0
0
0
1
32
16
26
8
0
0
0
4
0
8
1
1
0
8
8
0
0
0
8
8
8
8
0
24
0
16
8
8
0
0
8
8
4
4
0
6
1
0
0
0
0
0
1
0
28
0
8
1
0
0
0
16
4
4
0
0
0
8
4
0
0
3
16
4
4
8
1
0
0
0
16
16
40
8
8
8
8
8
0
2
8
16
16
0
0
0
8
8
1
16
16
0
0
0
0
0
0
16
16
20
0
8
8
4
0
0
0
0
0
0
0
16
0
0
16
0
0
0
8
0
0
0
8
8
2
2
8
16
8
8
8
0
0
0
2
4
16
0
1
1
8
1
0
0
8
0
2
0
16
16
0
0
0
0
0
0
0
48
0
8
8
56
0
0
0
16
1
1
0
0
16
16
16
0
8
8
0
0
0
0
0
0
0
1
2
2
16
16
0
0
4
0
0
0
0
16
16
0
0
28
0
0
4
0
0
8
8
0
0
0
0
8
8
8
0
8
8
16
0
0
0
0
8
0
0
8
0
32
12
0
4
0
0
0
16
16
0
8
8
8
0
2
0
0
0
0
0
8
8
8
8
60
16
16
16
16
21
8
8
1
1
1
0
4
0
0
0
1
1
1
0
0
0
0
0
32
1
0
8
0
0
0
0
0
12
8
8
16
2
4
48
8
8
0
0
0
0
16
16
0
0
10
8
8
8
16
24
24
0
8
8
0
0
16
16
0
0
8
16
0
4
4
0
21
21
8
8
8
4
0
16
24
24
0
21
1
0
8
1
32
32
16
0
0
0
16
0
0
8
16
0
0
0
0
0
0
0
8
8
0
0
4
16
16
0
0
0
0
0
0
8
8
0
0
0
0
8
16
16
8
8
0
0
62
16
16
8
56
56
56
56
0
0
8
3
3
16
0
0
0
0
16
0
4
0
0
16
8
0
0
8
8
4
4
4
8
16
16
16
0
16
8
8
0
0
1
8
0
1
1
1
1
16
4
1
8
0
8
8
0
4
0
0
16
0
16
8
8
8
8
0
4
0
12
0
32
32
32
0
0
8
0
0
0
0
1
1
1
0
0
0
0
0
0
0
1
32
32
1
0
8
8
2
0
0
0
0
0
0
8
56
56
0
0
0
0
0
17
0
4
16
2
2
8
24
24
16
0
0
8
8
0
8
8
8
0
0
0
0
0
0
22
22
1
2
8
8
0
17
17
17
17
17
17
0
2
0
8
2
12
0
0
0
8
8
0
0
0
1
0
2
0
24
0
0
16
0
0
16
0
0
4
0
0
4
0
16
0
8
0
1
0
0
0
0
0
0
2
0
8
0
0
0
0
22
0
0
0
0
4
8
8
8
1
1
8
2
2
0
8
0
0
16
4
4
0
0
0
0
0
16
41
0
0
0
8
0
0
0
0
0
0
0
4
6
16
0
0
0
4
0
0
0
0
0
0
24
0
16
0
0
0
0
0
0
14
0
16
0
8
8
0
0
0
0
0
1
4
0
0
8
8
1
0
0
0
0
0
6
16
16
0
0
0
0
0
4
4
2
32
0
1
0
0
0
0
0
0
0
0
16
17
0
0
1
0
0
1
0
0
0
0
1
0
4
0
16
0
0
0
20
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
16
4
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
8
8
0
0
16
0
16
0
0
0
0
4
0
0
2
0
0
0
0
8
0
0
0
0
0
0
0
8
0
0
0
0
0
0
4
4
0
0
0
4
2
4
0
0
33
33
33
0
0
0
0
0
0
0
16
6
2
0
0
0
28
28
0
0
8
8
8
8
0
0
0
0
0
0
4
4
8
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
8
0
0
0
0
0
24
24
24
16
0
2
0
0
0
0
0
8
0
8
0
0
8
8
1
20
0
0
0
0
4
0
0
0
0
0
0
0
0
2
0
0
20
0
0
0
0
0
0
8
1
0
0
0
0
16
0
0
0
0
0
8
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
4
4
16
0
0
1
0
0
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
32
0
0
4
24
24
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
4
8
0
8
2
2
2
2
2
2
0
0
0
0
0
0
8
8
2
0
0
0
0
0
16
0
8
8
8
8
8
0
0
0
0
0
0
0
2
18
0
2
0
0
0
0
16
0
0
0
0
0
0
0
4
8
8
0
0
0
9
0
0
0
8
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
1
0
0
0
4
4
0
0
8
0
0
0
0
0
0
0
4
0
0
0
8
8
0
8
8
0
0
0
0
0
16
0
0
0
8
8
0
16
16
0
0
0
0
16
8
0
0
0
0
0
33
0
8
0
19
0
0
0
0
16
0
0
0
0
0
6
0
16
16
0
0
0
8
0
0
0
0
0
16
0
0
0
0
8
24
0
0
0
0
0
0
1
0
0
0
0
1
16
8
0
0
0
0
0
0
8
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
2
0
0
0
0
8
8
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
2
2
0
8
0
0
0
0
0
0
0
0
0
0
4
0
0
2
0
0
0
0
8
25
0
3
3
3
0
0
0
0
0
0
0
0
0
0
8
8
0
0
16
0
0
0
8
8
0
0
0
0
8
0
8
8
0
0
0
0
0
0
0
8
0
16
0
8
0
0
0
0
8
0
0
0
0
0
0
0
0
4
4
18
0
2
2
8
0
0
0
0
1
0
8
0
0
0
0
16
0
24
0
0
0
8
8
4
4
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
2
2
2
1
0
0
16
0
0
0
0
0
0
0
0
0
0
0
17
0
0
9
9
0
0
0
0
18
18
6
0
16
0
0
0
8
8
0
0
0
8
8
16
9
0
0
0
0
0
0
16
0
0
0
32
0
16
0
18
18
0
0
16
0
0
8
8
8
8
24
0
57
57
0
0
0
16
0
16
0
0
0
10
0
0
0
0
0
0
16
0
0
0
0
33
0
0
0
0
0
8
8
5
0
0
0
0
0
0
0
0
16
16
0
26
0
0
16
6
0
16
8
8
0
16
4
4
0
16
0
1
0
16
0
0
0
0
4
0
8
0
12
12
12
0
0
0
8
0
0
0
18
18
18
0
0
0
0
0
4
8
8
16
16
0
0
0
0
4
8
8
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
2
1
0
0
0
16
0
24
0
8
0
16
16
0
0
0
32
0
0
0
0
0
0
0
0
0
32
0
0
0
0
0
0
48
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
16
0
16
0
0
16
0
0
16
0
32
0
0
0
0
32
8
0
0
0
16
0
0
0
0
0
0
0
16
16
0
0
0
16
8
12
0
0
1
0
0
0
0
32
32
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
16
0
8
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
14
0
0
16
0
16
16
0
16
16
16
8
8
8
8
8
0
0
0
0
0
0
12
0
32
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
16
10
0
16
0
8
8
8
8
0
0
0
4
4
2
0
24
8
8
8
0
0
0
0
0
0
0
8
8
8
8
0
0
0
2
1
1
26
0
0
0
0
0
0
0
0
8
0
0
16
16
0
0
0
24
0
0
0
0
0
0
8
8
16
0
16
0
0
0
16
0
0
0
2
0
0
0
0
0
0
0
0
16
16
16
16
16
16
0
6
0
0
0
0
0
0
0
0
2
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
2
0
2
0
0
0
16
16
16
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
2
8
2
2
0
0
16
0
0
8
0
0
0
0
0
0
0
0
4
8
8
0
0
0
8
0
0
0
0
0
0
8
0
0
0
0
0
16
8
8
8
8
8
0
0
0
0
0
8
8
1
0
0
0
0
8
0
4
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
16
0
0
0
8
8
8
0
16
0
0
0
0
27
27
0
16
1
0
0
0
0
0
0
8
8
0
8
1
0
0
0
0
0
0
0
4
4
16
0
1
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
8
8
8
0
0
0
4
0
0
0
0
12
8
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
16
16
0
0
0
0
11
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
32
32
0
0
1
1
0
0
0
0
0
0
4
4
4
2
16
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
16
0
16
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
32
0
0
0
0
24
8
0
0
16
16
0
6
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
2
8
0
0
0
0
0
0
0
16
16
0
0
0
16
8
0
0
0
0
0
0
0
0
0
20
0
0
0
0
0
3
0
0
0
0
18
4
4
4
8
0
2
0
8
0
0
0
0
17
17
17
0
0
0
0
0
0
0
0
0
18
8
0
0
0
0
1
0
0
0
0
0
0
0
0
16
0
4
0
0
0
0
0
0
8
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
32
0
0
0
0
0
0
8
16
4
0
0
28
0
0
0
0
0
0
0
40
2
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
8
8
8
4
8
0
0
8
8
0
0
0
0
3
8
0
8
8
0
8
0
2
0
0
0
0
0
0
0
0
16
0
0
0
0
24
2
2
0
0
16
0
0
0
2
0
0
0
0
0
2
0
0
18
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
1
0
0
0
8
8
8
0
4
0
0
0
0
0
8
16
0
0
0
20
0
16
0
0
0
24
24
2
2
4
4
0
16
0
0
0
0
8
0
0
4
4
4
8
16
0
8
8
0
0
0
0
0
5
5
0
0
0
16
16
4
0
0
0
0
0
0
0
0
1
0
16
0
0
8
8
0
1
8
8
8
8
8
8
0
0
0
0
0
0
0
16
16
0
0
0
16
0
0
0
8
0
0
0
0
0
16
0
0
0
2
2
0
0
16
16
16
1
8
0
2
0
0
8
0
0
0
0
0
0
0
0
0
0
0
12
0
1
1
1
1
1
1
0
8
0
4
8
0
0
0
0
0
0
0
0
0
8
0
0
2
0
0
0
2
0
0
0
8
0
0
0
7
0
0
0
0
0
18
0
0
0
4
4
0
0
0
20
20
20
20
20
8
0
0
0
0
8
0
0
0
0
0
0
1
1
8
0
16
0
0
8
8
17
0
8
0
8
0
0
0
0
0
4
0
4
16
16
0
0
0
0
16
16
0
0
4
0
0
0
0
0
0
0
0
0
0
0
8
0
0
1
1
0
0
0
0
2
0
0
0
0
0
8
0
0
0
0
0
0
0
0
8
8
0
0
60
24
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
10
0
8
0
0
8
8
8
0
4
4
16
0
0
8
16
4
0
0
0
4
0
0
0
0
0
1
1
1
0
0
4
4
0
0
0
0
0
0
0
25
40
40
40
2
0
0
0
16
16
16
16
0
21
0
0
16
0
28
28
0
0
0
0
0
0
24
0
0
0
0
0
0
0
1
8
8
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
8
8
4
4
8
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
8
0
16
16
0
0
0
0
0
8
8
0
0
0
0
0
0
2
0
0
2
2
2
0
0
0
0
9
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
8
0
0
0
0
0
0
8
8
0
0
0
16
0
0
0
0
0
25
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
8
0
1
13
0
8
8
0
0
1
1
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
32
0
4
16
0
0
0
0
0
0
8
0
0
0
0
2
2
2
0
0
0
0
0
2
0
0
16
0
0
0
17
1
4
0
0
0
16
8
0
0
0
2
2
0
0
0
0
16
0
0
8
4
4
1
0
4
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
16
2
2
2
2
0
0
24
0
0
17
17
0
2
8
0
2
2
8
0
0
0
0
0
0
44
0
4
18
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
4
0
16
8
8
8
8
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
8
8
0
0
0
24
24
24
0
8
0
0
0
8
0
0
8
0
0
0
0
16
16
16
0
8
8
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
16
0
1
0
4
4
4
0
0
0
0
0
0
8
0
5
5
5
4
0
0
4
4
8
20
0
0
8
16
0
1
6
0
0
0
0
0
0
0
0
8
8
0
0
25
16
0
8
8
0
4
2
0
0
0
16
0
0
0
32
0
0
22
0
4
0
0
16
16
21
16
16
8
3
0
8
0
0
0
0
0
1
0
16
0
0
36
36
8
8
2
0
48
7
8
8
0
0
0
4
6
0
0
0
8
0
0
0
0
18
8
8
8
8
8
2
0
0
0
0
4
0
14
0
0
0
0
0
0
16
0
8
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
3
0
0
8
0
2
2
8
8
0
0
0
4
4
4
0
0
12
0
0
0
1
0
0
0
0
0
0
0
0
4
4
0
20
16
0
0
8
8
16
16
0
0
2
2
0
0
8
4
8
0
0
16
16
16
0
8
8
0
8
4
4
4
0
0
0
0
0
0
0
16
0
0
0
0
0
8
0
0
16
4
0
16
8
0
0
0
0
0
0
0
0
24
0
0
0
16
0
0
4
4
10
0
0
0
0
2
2
4
4
4
4
0
2
8
8
0
0
0
0
0
16
16
0
0
8
0
0
8
2
0
0
8
8
0
0
0
4
8
16
8
0
0
0
0
3
3
2
0
16
8
8
8
0
0
0
0
16
16
0
8
0
0
8
8
16
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
2
2
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
1
4
4
4
20
4
4
0
8
0
16
0
0
0
0
0
16
0
0
0
0
4
0
0
8
0
0
0
0
8
0
0
16
0
0
8
0
0
0
0
0
16
0
8
8
16
16
3
0
0
0
8
0
0
0
1
16
0
0
0
12
8
0
0
0
0
1
0
0
0
0
1
16
4
0
0
0
8
2
2
17
0
8
0
0
8
0
0
0
0
0
4
0
0
0
0
0
0
0
8
8
0
1
0
0
0
8
0
0
0
0
0
8
4
0
1
0
0
8
4
4
4
4
8
0
0
32
2
0
0
0
0
0
18
0
0
2
2
0
0
16
0
0
16
0
0
0
2
2
8
16
18
0
0
0
38
8
16
8
8
34
34
0
2
0
0
0
22
0
0
8
8
8
24
4
0
0
0
8
8
0
0
8
8
10
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
8
0
0
0
8
8
8
0
1
0
5
9
4
0
0
18
0
0
0
0
4
16
16
16
16
24
0
16
0
2
34
0
0
0
0
0
1
18
0
9
0
24
0
0
16
0
8
0
12
0
0
0
0
0
8
8
16
8
8
0
16
0
0
0
8
8
8
8
24
8
0
1
16
16
32
0
0
8
0
0
8
0
0
0
8
0
49
49
49
0
0
8
0
0
0
0
0
0
4
2
0
0
0
0
0
0
8
8
0
0
0
12
12
0
0
0
0
0
0
0
8
8
8
0
16
0
8
0
0
8
8
0
0
8
0
20
0
0
0
0
8
0
0
2
0
4
0
0
0
0
8
8
32
8
0
24
0
8
0
2
2
0
0
12
12
12
48
0
0
0
0
0
0
0
0
8
0
8
48
0
4
0
4
4
12
0
16
8
0
0
8
8
8
0
18
16
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
16
8
8
8
8
18
18
18
0
1
2
0
16
16
0
0
0
0
0
0
0
0
0
0
16
4
0
1
0
0
9
0
8
16
8
8
0
2
2
4
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
18
0
4
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
16
16
2
0
0
0
0
0
24
8
0
0
0
2
16
16
0
0
8
0
0
0
0
0
0
0
1
1
0
0
0
0
16
4
2
24
0
0
0
0
4
0
0
0
0
16
16
16
0
8
8
0
0
0
8
0
0
8
8
0
0
12
12
0
0
4
4
4
4
4
0
16
0
2
2
0
0
0
0
0
0
16
0
0
4
0
8
0
0
0
8
8
16
8
8
16
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
16
24
24
0
0
0
56
0
0
1
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
8
0
0
8
26
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
4
4
0
0
18
0
0
0
16
2
0
0
0
0
8
8
8
8
8
8
8
0
0
8
8
8
8
8
8
0
0
0
0
0
8
4
0
0
1
0
16
0
16
16
0
0
4
4
4
0
8
0
8
1
0
2
0
0
24
16
0
0
0
32
0
0
0
0
0
4
4
4
4
2
8
16
8
0
0
0
0
8
8
8
8
0
0
8
4
0
0
1
8
8
0
8
8
8
0
4
8
0
0
16
0
0
8
8
0
0
8
0
24
0
16
24
8
0
0
24
0
16
2
8
8
8
8
8
1
16
0
0
0
0
0
12
0
0
8
24
0
4
0
2
4
0
0
0
0
0
0
0
0
0
0
22
4
0
4
0
16
0
0
1
0
18
8
0
8
0
8
8
0
8
24
16
16
0
1
0
41
41
9
0
0
0
0
16
0
16
0
0
4
4
1
1
2
0
8
8
0
60
60
0
0
8
16
0
4
8
40
40
40
40
4
16
0
0
0
32
4
4
0
0
0
16
16
0
4
4
16
1
0
0
0
4
4
8
16
8
0
16
0
16
16
8
8
8
8
8
0
0
0
35
0
0
17
17
0
0
0
0
0
16
0
8
8
0
0
0
1
8
8
0
0
1
1
1
19
24
0
0
0
0
0
0
4
8
16
8
8
0
0
0
0
0
0
0
0
0
0
0
16
8
8
0
0
8
8
8
32
32
8
8
8
4
8
8
8
0
0
0
16
0
0
0
1
8
0
0
0
4
0
8
0
20
0
0
0
0
8
0
0
0
16
0
0
8
8
8
8
0
8
8
1
0
0
8
8
0
0
4
8
8
8
1
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
32
16
0
0
0
0
8
32
32
0
0
1
1
0
4
0
24
6
0
0
16
8
8
28
0
0
0
4
0
0
8
0
0
0
0
0
1
16
16
0
0
0
0
0
0
2
2
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
1
0
0
8
1
0
0
0
0
4
4
24
16
0
8
0
0
4
16
1
0
0
0
0
4
0
0
0
0
0
0
0
8
0
0
0
0
0
1
16
2
2
2
0
0
0
0
0
2
2
0
2
2
0
16
0
0
16
0
8
8
8
8
0
4
8
8
4
4
0
0
0
0
0
8
0
0
0
0
28
8
8
0
0
0
5
0
16
8
0
0
0
34
34
0
0
0
0
0
0
0
0
0
0
8
8
0
8
8
0
0
4
4
0
0
1
0
16
0
16
8
0
0
0
0
0
0
0
0
16
16
1
0
0
0
0
0
0
0
4
0
0
0
0
8
0
0
8
0
0
0
0
8
0
1
24
8
16
0
0
8
8
1
0
0
0
8
8
8
8
8
0
0
0
0
0
0
0
0
25
0
2
2
16
24
0
14
14
4
4
4
16
32
0
0
8
16
0
0
8
8
0
16
0
8
8
8
8
16
8
8
8
16
0
0
0
26
0
0
8
8
2
8
16
16
16
0
0
0
8
0
4
0
0
0
0
0
0
16
2
0
0
16
16
24
4
0
0
0
0
0
0
0
0
0
8
8
0
4
0
0
8
0
0
0
16
16
0
17
0
0
20
20
4
4
16
19
0
0
0
0
0
0
8
8
0
16
0
4
0
0
0
0
0
0
0
0
0
0
0
16
16
16
4
0
24
8
8
24
24
1
16
0
0
2
0
0
0
0
16
0
0
0
0
0
40
0
0
8
0
16
16
0
4
10
0
0
0
0
0
8
8
4
0
8
8
0
0
0
0
0
0
1
1
17
0
4
4
4
0
0
0
0
24
8
8
8
4
16
0
0
24
0
0
0
2
4
4
2
24
24
8
0
0
8
8
8
8
0
0
0
0
0
0
8
8
16
16
0
10
2
0
0
0
0
0
16
8
8
8
8
8
0
8
8
8
8
0
16
0
0
0
0
8
32
32
32
32
0
16
16
17
4
0
4
0
0
0
12
8
8
8
4
8
0
0
0
0
2
0
16
0
8
0
0
0
0
2
2
0
0
0
0
8
0
0
4
0
16
24
0
0
0
4
4
8
0
4
0
0
0
0
0
0
0
16
16
8
13
0
0
0
8
16
0
0
16
1
1
8
8
8
8
0
0
8
0
0
0
1
8
0
0
0
0
0
0
0
0
8
8
8
0
0
2
8
0
0
24
0
0
8
8
8
16
8
0
8
20
0
0
0
12
12
12
12
8
8
4
8
16
16
32
0
0
0
0
0
16
16
16
8
0
0
8
1
0
8
4
0
8
8
8
0
0
0
0
0
0
0
16
16
0
16
0
0
0
16
16
16
17
0
8
0
8
0
4
8
8
8
8
4
8
8
8
4
4
8
4
4
4
8
8
0
0
0
4
2
2
1
1
24
0
16
16
0
16
4
4
8
8
0
18
18
0
1
0
0
0
0
0
0
4
4
0
0
2
0
0
0
8
8
8
16
0
16
16
16
0
0
8
40
40
2
0
2
2
0
0
12
0
8
17
0
0
0
16
8
0
4
16
0
0
0
0
8
8
16
0
0
0
0
0
1
1
0
8
8
8
0
0
16
16
8
8
8
16
16
0
0
0
0
0
0
0
8
32
0
0
10
10
29
2
17
17
17
17
16
8
0
0
0
0
24
25
0
8
16
0
0
0
0
0
0
0
0
8
0
0
0
17
17
0
0
0
0
0
8
0
0
0
16
16
2
0
8
8
8
16
24
24
16
16
16
0
0
8
8
0
0
8
8
8
25
24
0
0
1
1
0
32
32
8
8
0
0
2
0
8
8
0
0
0
8
4
4
16
0
0
43
1
34
34
24
24
24
24
24
24
0
0
2
2
16
16
8
0
0
0
0
8
8
12
16
8
8
8
8
0
2
2
2
8
8
8
8
1
0
32
0
0
0
0
0
0
8
8
8
0
16
4
8
14
2
0
0
0
8
0
0
0
12
8
8
8
16
0
28
28
28
28
8
8
0
8
8
0
0
0
0
8
8
8
0
8
0
8
0
8
8
8
8
8
4
4
16
8
8
4
24
16
0
0
2
2
2
0
8
2
1
8
8
8
48
0
32
0
0
1
0
1
0
0
16
0
0
0
16
0
0
16
8
8
0
0
0
0
0
35
35
35
0
8
0
0
0
12
12
0
0
16
16
0
4
0
8
8
8
14
0
1
0
2
2
0
24
4
0
0
24
24
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
16
24
0
1
8
8
8
8
8
8
16
16
16
16
20
0
0
8
8
16
4
16
16
4
8
32
0
0
0
0
20
20
4
8
8
16
25
1
8
0
0
16
16
24
0
24
8
1
1
8
0
16
0
0
8
8
8
8
8
8
0
0
0
0
0
8
0
0
16
0
0
8
0
0
0
16
4
16
4
0
0
0
0
1
1
0
0
16
8
0
0
16
16
8
0
0
0
1
1
8
8
0
16
0
8
0
32
32
0
0
0
16
8
8
8
8
8
8
4
4
16
0
0
8
0
0
8
8
16
16
0
10
4
1
8
8
28
28
28
16
16
4
4
8
0
0
0
4
8
8
0
0
48
8
0
0
28
0
0
8
9
1
8
32
0
0
2
0
0
2
4
0
2
2
2
2
16
16
4
24
24
8
8
5
0
8
0
40
8
2
5
0
0
0
0
24
24
0
9
9
9
0
16
2
2
0
1
8
1
1
1
1
1
1
1
1
20
4
4
4
4
4
20
9
24
0
0
8
16
16
0
0
4
0
0
0
17
17
0
0
4
0
0
4
4
0
4
8
8
8
0
0
16
0
0
0
0
16
16
0
0
8
34
34
8
8
8
0
0
2
0
0
0
8
0
0
24
24
20
0
8
17
0
0
0
8
8
8
8
0
0
0
8
8
8
8
0
24
24
4
4
16
16
0
4
0
0
0
0
0
8
0
0
0
0
0
16
0
0
0
16
16
0
0
0
0
45
9
16
16
16
16
8
8
0
16
17
0
0
0
0
0
0
0
0
0
0
32
17
0
0
4
8
1
1
1
1
1
17
16
8
2
0
0
0
1
0
0
8
0
0
0
0
0
0
0
0
1
0
0
32
4
0
0
0
4
1
1
0
0
0
0
16
0
0
8
24
8
8
1
8
0
0
0
0
2
4
4
0
8
25
0
24
16
16
0
0
0
8
8
8
8
0
8
8
1
16
0
0
0
20
8
0
0
0
0
24
16
20
4
4
8
28
0
0
1
0
4
0
24
0
0
0
0
0
0
0
8
8
0
16
16
16
4
8
0
0
0
0
0
0
0
0
0
8
0
0
8
8
1
1
16
0
0
0
10
8
18
8
16
0
0
0
0
0
8
16
16
16
12
0
0
1
0
0
0
0
2
0
1
1
0
0
0
0
16
0
1
1
8
0
8
8
8
8
16
2
0
0
0
28
28
1
0
0
0
16
8
0
16
0
8
28
0
0
0
0
0
0
0
0
16
1
4
4
0
0
4
4
4
4
0
2
0
8
0
0
16
8
8
8
17
20
0
0
0
0
0
0
0
0
8
4
4
2
0
0
2
16
0
24
24
24
0
8
8
8
0
2
8
0
0
0
0
0
0
16
0
8
8
0
0
0
0
16
0
1
4
4
8
16
8
0
0
0
8
8
8
16
16
16
0
4
1
4
4
0
0
0
8
8
8
4
16
0
0
0
0
0
32
36
0
0
40
8
0
8
4
16
0
0
0
8
8
8
8
0
0
16
8
8
4
20
0
0
0
43
43
43
12
8
8
8
8
0
0
2
0
4
0
4
24
8
0
0
0
8
8
0
0
8
28
28
24
24
4
0
0
0
0
16
8
0
0
28
0
0
16
0
8
4
8
2
20
24
16
16
16
16
16
1
0
0
0
0
0
0
16
0
8
0
0
16
0
8
0
0
2
16
16
0
33
33
33
2
2
0
8
0
8
16
4
8
8
0
1
0
0
16
0
1
16
0
0
8
8
0
0
0
0
16
16
0
16
38
0
0
0
8
8
0
0
0
8
0
16
16
16
16
16
0
18
18
0
0
16
0
0
0
2
16
8
16
0
16
16
16
0
0
0
1
0
0
0
4
0
0
1
8
0
0
0
0
16
16
0
0
8
0
0
0
0
0
0
0
0
0
8
0
0
0
1
0
0
0
0
0
0
0
0
16
2
2
9
1
1
0
0
0
0
4
4
4
18
0
2
8
0
0
0
16
0
0
0
8
8
16
16
0
0
4
0
0
0
0
8
0
20
16
8
2
12
0
1
1
1
0
0
8
0
0
0
0
0
16
0
0
0
16
8
8
0
0
0
0
0
0
0
0
58
8
0
8
0
16
0
61
61
0
16
4
0
8
0
60
0
28
28
28
8
8
16
0
32
32
0
16
0
0
0
0
8
8
0
16
8
16
16
17
0
8
8
1
1
8
8
16
8
8
8
36
1
1
0
0
4
4
1
0
0
0
0
8
3
1
1
0
0
2
0
0
12
4
4
8
16
0
8
0
0
28
9
9
8
16
8
16
56
16
0
32
0
1
0
0
0
0
0
16
4
0
1
8
0
24
24
24
8
0
0
0
0
16
8
8
0
0
2
0
0
0
0
0
0
0
0
0
0
0
8
8
4
8
0
0
0
0
0
8
8
0
0
0
0
8
0
0
0
0
0
0
0
4
0
0
0
0
20
20
20
20
16
0
16
2
8
0
0
0
24
0
12
12
0
0
32
0
0
8
24
0
0
16
16
16
8
8
8
16
16
16
4
4
8
0
0
0
0
0
8
8
0
0
0
1
0
32
32
0
8
0
4
4
4
16
0
8
8
8
0
0
16
9
0
2
1
8
8
8
8
0
0
0
0
0
0
0
0
16
16
36
36
0
0
8
8
8
0
0
0
30
8
24
24
24
0
0
0
0
0
0
8
8
4
8
4
4
0
0
0
32
16
0
0
4
4
0
1
16
0
8
0
16
1
1
0
0
0
14
8
8
16
16
16
0
0
0
0
0
1
1
2
0
0
16
1
16
0
0
0
0
0
32
8
8
1
8
16
17
4
0
4
2
32
8
0
4
24
0
8
8
24
16
32
0
0
8
8
0
0
0
1
0
0
16
16
16
16
16
1
2
0
8
0
3
6
8
8
0
0
0
0
0
0
0
0
8
0
0
0
0
0
8
8
8
8
8
8
0
0
0
0
0
8
0
0
32
32
35
4
0
0
0
0
16
2
0
0
0
0
8
8
8
8
8
0
0
0
2
2
0
4
4
0
0
16
16
16
16
16
0
16
2
8
8
8
0
0
0
0
4
0
32
16
16
16
32
8
8
8
8
0
8
8
8
4
0
0
0
0
0
0
4
4
4
4
4
4
8
4
8
8
8
8
8
0
0
0
0
18
1
1
0
8
8
0
0
0
0
0
0
16
8
8
8
8
24
0
8
4
4
4
4
4
8
0
0
16
8
1
16
0
0
0
0
16
24
0
1
1
1
1
4
4
4
4
0
0
0
0
0
0
8
0
0
0
0
8
0
0
0
0
16
0
8
8
1
16
0
0
0
16
24
0
0
0
8
20
0
8
16
16
16
34
0
0
16
0
0
0
0
0
0
0
8
4
24
24
24
0
60
8
0
25
4
4
0
0
17
16
0
0
18
16
4
8
0
16
8
0
0
0
40
8
8
0
0
16
0
0
0
0
16
8
8
8
26
26
16
8
0
8
0
0
0
24
0
8
8
8
8
8
0
6
6
2
2
2
2
2
2
0
0
0
0
0
8
0
0
0
0
1
4
4
4
8
8
8
4
4
4
0
0
0
8
4
0
4
4
25
9
0
0
0
8
0
0
0
0
0
1
1
0
0
0
0
0
0
1
2
10
0
24
24
0
0
0
0
8
8
0
0
0
16
1
0
0
0
0
0
4
0
0
1
0
0
8
8
0
0
0
0
0
9
16
8
0
8
8
8
32
32
32
32
16
8
2
8
8
0
0
8
8
8
8
8
0
24
1
1
0
0
0
8
2
0
8
0
8
0
0
0
4
5
0
1
1
4
0
2
1
0
0
8
8
0
0
32
16
16
16
2
2
0
0
0
32
32
8
8
8
1
16
0
0
0
16
4
4
0
1
0
8
0
16
48
48
48
16
16
16
4
24
24
0
0
0
0
4
8
4
4
4
8
8
8
0
20
6
6
0
0
0
2
0
8
0
0
8
8
8
8
8
8
4
0
16
8
8
4
1
1
16
16
16
16
16
0
1
0
0
0
12
0
32
0
0
8
0
0
0
0
0
5
8
0
0
0
16
16
16
8
22
1
0
9
9
9
16
16
32
32
2
16
16
16
16
0
0
0
34
0
16
16
8
0
0
0
0
2
0
8
8
0
2
21
16
16
0
16
16
16
0
1
1
16
0
8
8
0
0
6
0
0
8
16
8
0
8
0
0
0
0
8
8
8
6
8
16
8
8
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
24
2
0
0
0
16
16
0
0
8
8
0
28
4
4
24
24
0
0
1
1
4
16
16
0
0
8
8
16
21
0
0
2
2
0
0
0
8
0
8
1
0
0
8
8
32
16
8
0
32
8
8
0
0
16
16
16
0
20
9
8
8
0
32
18
16
16
0
0
16
12
12
32
32
0
0
0
0
0
8
0
0
33
8
2
16
16
16
2
0
1
1
4
16
16
1
4
4
0
0
0
0
0
8
8
8
16
1
1
10
8
8
8
16
4
8
16
16
0
0
0
0
16
16
16
0
0
0
0
28
0
0
16
8
1
1
8
8
8
8
8
0
0
8
4
1
1
1
1
0
0
9
8
1
8
0
0
0
0
8
8
4
4
4
0
0
4
0
16
8
28
28
0
0
0
1
1
1
1
8
0
0
0
0
0
0
8
8
8
0
8
8
4
4
4
4
4
16
16
16
16
8
8
4
0
0
0
0
0
2
4
8
8
1
1
16
8
8
4
4
4
4
8
8
8
8
8
1
1
16
16
8
8
0
2
4
0
0
0
21
2
2
9
0
0
2
0
8
0
0
0
16
16
16
0
0
0
0
0
0
0
0
0
0
9
8
8
0
0
8
0
8
8
0
0
16
24
24
0
0
4
0
40
40
0
4
0
8
8
17
20
16
8
0
0
0
0
0
8
8
1
8
0
12
12
0
0
0
8
8
0
0
8
8
1
0
0
0
17
17
16
4
0
16
0
4
0
16
36
36
12
12
0
0
0
2
0
16
16
16
16
8
4
32
8
2
1
1
1
0
0
0
0
8
16
16
5
5
8
16
16
16
22
0
0
8
16
0
8
8
30
1
0
0
8
4
1
1
1
1
16
4
4
4
8
8
8
2
8
8
8
8
0
0
0
0
0
0
0
0
16
4
4
4
0
0
0
0
0
3
3
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
8
16
16
8
4
1
1
0
32
32
0
0
0
0
0
16
0
0
0
16
16
16
0
25
0
0
0
0
0
0
0
0
0
4
0
0
18
18
1
0
0
8
8
8
2
0
0
0
0
0
0
8
0
0
0
2
0
0
8
8
2
0
0
0
0
0
16
16
32
32
8
0
0
0
32
0
8
16
0
0
0
0
16
16
16
0
0
0
8
8
0
0
0
16
16
0
0
1
1
0
0
0
8
2
16
16
0
0
0
0
4
34
8
16
2
16
8
8
8
0
16
16
16
0
0
0
0
16
2
1
8
8
4
4
4
16
0
8
32
32
32
16
0
0
0
0
16
16
0
0
1
0
0
0
12
8
1
1
0
0
0
0
0
0
0
0
0
2
1
0
0
0
4
17
17
0
0
0
24
6
0
0
1
8
8
28
8
0
0
0
0
2
0
0
0
0
6
0
4
0
16
0
0
0
16
8
0
16
0
8
8
28
0
8
16
8
0
16
0
1
1
0
0
0
0
0
0
16
16
0
4
1
1
16
8
8
0
8
16
16
8
16
1
1
0
0
16
16
16
8
8
8
17
0
0
0
0
0
0
0
2
4
27
8
8
8
0
1
8
8
28
0
0
0
52
52
0
0
0
0
0
1
1
1
1
1
0
0
0
0
0
0
0
0
8
8
8
8
16
40
0
0
0
1
1
16
16
16
16
0
0
0
16
16
8
8
0
0
0
0
0
0
5
16
16
0
0
4
4
0
0
16
16
1
0
0
8
8
0
16
16
16
1
1
1
1
0
0
16
0
0
2
2
0
0
6
6
0
0
0
32
32
0
0
0
16
16
16
8
8
4
0
8
9
0
16
8
8
4
0
16
16
0
16
0
0
0
0
16
16
16
2
16
0
4
4
0
8
0
8
0
4
8
8
8
0
1
0
57
3
8
0
8
2
8
8
0
5
16
16
8
4
0
0
0
0
0
4
8
8
0
0
0
16
16
16
16
0
0
0
0
0
0
16
0
0
16
4
0
0
16
16
16
0
0
8
16
16
0
0
0
0
0
0
4
0
0
0
0
0
6
0
0
8
8
0
8
8
8
0
0
16
16
0
0
0
8
32
1
4
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
8
16
8
0
0
2
0
0
0
0
0
0
6
8
0
8
8
0
1
1
1
1
0
0
0
0
8
2
0
0
8
8
0
8
8
2
2
0
0
0
0
4
8
5
1
1
0
0
1
1
4
4
0
0
0
0
0
0
0
0
0
0
8
8
8
16
18
18
8
8
2
0
0
0
0
17
17
4
4
4
0
2
8
0
16
16
0
0
4
24
24
0
0
0
8
17
1
0
0
1
1
0
0
0
32
32
32
0
16
0
8
4
0
0
0
0
0
8
16
16
16
0
8
8
8
16
16
16
16
16
16
2
2
1
0
0
0
0
0
0
32
0
0
0
0
0
0
0
0
0
8
0
0
16
0
0
4
4
0
0
20
4
2
16
0
16
2
2
2
2
2
4
0
8
16
16
16
16
16
16
16
16
16
1
0
0
0
0
0
0
32
16
16
16
1
1
1
0
4
4
4
0
8
1
1
0
0
0
20
16
16
2
2
16
16
16
0
16
8
0
8
8
28
8
0
0
0
16
0
0
0
16
16
16
16
16
16
24
24
0
4
8
8
16
0
0
0
12
0
0
0
0
0
0
4
8
2
8
8
1
12
12
11
0
0
0
0
0
0
0
0
0
0
0
4
4
8
8
8
24
24
16
16
16
16
8
8
8
8
0
16
16
0
0
4
0
20
0
10
10
10
0
0
16
18
16
0
2
2
20
21
5
8
8
0
8
8
20
4
4
8
8
4
4
0
0
0
0
0
0
16
8
8
8
8
8
8
0
0
32
2
8
4
4
0
0
0
8
4
4
4
20
8
8
8
8
8
8
8
1
0
17
16
0
0
0
0
0
1
1
1
6
6
9
0
6
8
8
8
8
0
8
0
1
0
1
0
12
0
8
0
0
0
0
2
2
0
16
16
8
0
0
0
0
0
1
1
16
16
0
0
0
4
4
8
8
16
0
0
8
8
17
1
1
8
0
2
0
4
32
0
4
0
13
0
0
16
0
0
8
16
0
22
22
16
0
1
1
0
0
8
0
8
8
18
17
2
26
0
0
8
2
0
8
8
8
8
8
0
1
1
2
2
0
0
32
32
16
0
0
8
16
16
16
16
8
0
0
0
4
4
4
32
0
8
24
0
8
16
0
0
0
16
16
0
2
4
4
0
8
16
16
8
0
18
16
1
1
1
0
16
0
20
20
0
0
1
1
0
16
16
0
1
0
0
0
0
0
40
40
40
40
40
8
8
8
0
1
1
1
2
2
1
16
0
0
0
0
0
32
2
1
0
4
8
0
0
0
0
0
8
8
16
0
16
16
16
8
0
2
0
16
0
0
16
16
17
41
0
0
16
16
16
16
16
16
0
8
0
0
0
0
0
0
4
4
4
0
0
1
0
16
16
0
0
8
4
8
8
8
8
8
0
3
3
4
8
0
1
1
0
0
8
8
0
0
0
0
0
8
8
0
0
0
0
0
9
9
9
9
0
0
0
1
2
32
0
0
8
0
4
0
0
20
0
8
8
0
8
16
16
8
32
32
32
8
0
0
0
8
8
1
0
0
0
0
0
16
24
8
2
2
0
1
0
8
8
8
0
8
8
8
0
0
8
0
0
0
0
0
16
0
0
0
0
1
0
0
0
4
0
0
2
0
0
0
2
2
0
0
8
8
16
0
0
4
0
16
0
32
12
4
0
16
0
0
1
1
1
0
0
0
8
8
1
1
0
8
12
4
16
16
0
4
16
16
0
0
0
0
8
8
5
1
8
0
0
0
0
0
45
45
9
9
56
1
0
16
16
0
0
1
0
0
4
4
4
1
0
0
8
16
16
4
4
4
0
0
0
0
0
0
0
0
0
1
0
8
1
1
1
1
0
16
0
4
28
40
40
8
8
0
16
0
0
0
6
8
0
16
8
0
0
0
0
0
0
0
16
16
16
0
1
3
16
0
24
24
0
0
0
0
0
0
0
0
0
4
0
10
0
0
0
0
18
0
8
8
8
8
0
24
24
0
0
2
2
8
0
0
2
0
0
0
4
8
2
2
2
24
24
24
0
0
8
0
18
2
16
0
0
0
0
0
1
0
0
0
0
0
0
8
0
19
10
3
2
4
4
4
0
4
0
0
0
0
4
4
4
1
16
0
0
0
0
0
0
0
0
8
8
8
0
8
20
20
0
0
0
1
1
1
1
1
16
4
0
0
8
8
4
16
16
0
16
16
8
8
0
8
0
0
0
8
0
13
0
0
16
24
16
4
4
0
17
0
8
8
0
0
16
0
48
8
4
8
0
2
2
0
8
8
0
0
0
1
4
0
12
12
12
12
16
4
4
0
0
0
0
0
0
0
0
1
0
4
16
0
16
8
8
4
0
8
8
8
16
6
6
6
16
0
16
2
0
8
8
24
0
0
0
5
5
9
0
4
16
0
8
8
0
0
0
0
0
0
0
48
16
16
16
16
4
9
2
2
2
4
0
0
48
8
28
28
0
0
0
0
0
4
4
0
0
0
0
0
0
0
1
1
0
22
2
2
2
2
1
0
0
8
8
8
0
8
0
0
16
0
0
0
8
0
0
0
16
16
16
16
16
0
0
0
8
0
0
20
16
16
24
0
4
8
8
8
8
8
8
16
0
8
8
8
0
0
0
1
0
0
4
4
4
4
34
35
2
1
16
8
8
48
0
0
0
0
0
0
8
8
0
8
16
16
0
0
8
0
8
24
24
0
1
0
4
8
16
16
0
0
4
4
0
0
16
16
8
8
8
16
16
16
16
24
0
16
2
0
0
8
0
0
0
0
28
28
0
16
16
16
16
0
8
4
8
8
0
0
0
0
0
0
0
8
8
0
16
16
16
16
16
48
0
32
0
8
8
12
16
0
2
0
0
0
8
16
16
8
16
0
0
0
0
0
0
0
1
1
8
8
0
0
0
0
0
0
0
4
0
0
0
1
8
0
2
0
0
1
2
8
8
16
2
2
8
0
0
16
16
0
0
0
16
16
16
16
0
0
0
0
0
0
0
4
0
0
4
4
2
0
0
0
21
8
8
8
8
0
0
0
16
16
16
16
16
8
10
8
8
8
16
16
0
0
0
0
0
0
0
0
32
4
32
32
32
0
0
0
0
0
0
4
8
8
8
8
8
8
1
2
0
0
0
16
16
0
0
16
8
24
0
10
10
8
8
16
0
0
0
8
0
0
16
16
16
14
16
0
0
0
2
16
8
8
16
24
8
8
8
16
0
0
0
0
0
0
0
0
0
0
2
8
8
0
12
12
8
8
8
0
0
4
0
0
0
8
4
8
8
8
2
2
8
8
16
8
0
0
0
1
3
4
8
1
0
9
8
8
16
32
8
0
2
0
0
0
8
8
0
0
8
8
8
17
17
4
16
8
8
8
0
2
2
2
0
0
8
8
0
16
8
8
8
4
0
0
0
8
1
0
2
0
0
0
0
10
10
10
12
0
0
0
16
16
8
16
16
0
0
8
8
8
0
0
8
8
0
0
0
4
8
31
0
0
0
0
0
0
8
8
8
8
8
0
16
0
0
0
0
0
0
0
0
16
0
0
8
0
0
8
0
0
4
4
0
8
0
0
0
16
0
0
1
0
4
0
1
1
4
0
0
0
0
0
0
8
0
8
25
24
24
0
1
0
8
16
0
0
8
8
8
8
8
8
8
8
16
16
16
16
0
0
0
16
16
32
34
2
2
2
2
2
8
4
16
0
0
0
0
0
8
8
0
0
0
1
0
0
0
0
8
0
16
20
20
0
8
16
0
2
2
0
0
8
8
8
0
0
8
0
0
8
8
32
0
16
16
16
0
0
0
16
16
4
4
4
0
0
8
8
2
2
2
2
2
2
4
4
4
0
8
8
8
0
0
16
8
40
0
1
0
4
16
8
8
0
0
8
8
8
0
16
16
16
16
16
0
8
0
0
24
24
1
1
16
8
0
1
1
1
0
8
0
16
16
2
16
0
0
0
0
16
16
0
20
0
0
0
0
0
0
0
8
1
0
0
0
0
8
8
16
4
16
0
0
0
0
0
0
16
0
8
16
16
16
16
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
10
0
12
0
8
8
8
4
0
0
0
0
0
0
20
20
20
16
8
8
8
0
0
16
16
16
16
0
4
0
8
8
0
0
8
8
17
8
0
0
0
8
8
9
0
0
4
16
4
4
0
0
8
1
2
2
2
2
8
18
18
18
8
8
8
16
16
0
0
0
0
0
0
25
24
0
0
0
0
0
1
1
1
0
0
0
16
16
8
0
8
0
0
16
16
0
0
1
8
4
16
16
16
16
12
32
8
2
8
8
0
0
32
0
12
16
24
24
24
8
16
16
0
0
2
2
2
2
2
8
0
32
32
53
53
53
4
0
0
0
8
0
0
0
0
0
2
0
0
0
0
0
0
4
8
8
0
8
2
8
8
0
0
0
8
8
8
8
2
0
0
0
0
0
0
0
18
0
8
0
16
16
16
0
8
0
0
4
0
0
0
0
0
0
0
8
4
4
8
0
16
0
0
1
8
0
8
0
8
8
4
0
16
0
0
0
16
1
0
8
0
16
16
16
16
16
0
16
8
8
4
16
0
0
0
0
16
0
16
0
0
0
1
8
0
0
0
8
8
0
0
0
0
0
0
0
4
4
4
0
0
0
0
0
0
8
0
0
0
16
16
16
0
9
9
9
0
0
24
0
8
26
16
0
16
0
32
32
16
16
16
16
2
2
4
4
4
0
0
8
4
0
0
0
2
32
8
8
0
16
1
1
0
2
2
16
16
0
16
1
4
2
25
0
0
8
4
4
4
0
0
0
0
0
0
0
0
0
0
0
8
8
4
4
4
0
0
0
38
0
0
0
0
0
16
8
0
0
32
8
8
17
8
8
8
8
16
16
16
16
16
16
16
16
16
16
8
8
0
8
8
8
32
16
8
8
0
16
9
9
8
4
0
0
0
0
0
8
0
2
2
2
8
0
0
16
4
32
8
0
8
8
16
0
0
8
0
0
0
8
8
8
4
0
0
4
4
0
0
0
2
0
26
0
10
0
0
8
0
0
13
0
20
0
0
0
0
0
0
0
0
0
8
0
24
24
8
8
0
0
8
8
4
4
4
16
0
0
16
16
45
0
16
16
16
0
0
0
4
0
0
16
0
0
0
17
16
8
4
4
10
10
16
8
8
24
8
8
0
8
4
4
0
0
16
32
0
0
0
0
16
0
0
0
28
0
0
16
16
0
0
1
1
1
1
4
4
4
21
10
8
8
0
16
16
0
0
0
2
8
0
60
0
0
8
8
8
16
16
0
0
8
8
8
16
9
16
16
16
16
56
0
3
2
20
20
0
0
0
1
1
0
0
8
8
0
0
44
16
0
0
0
4
4
0
0
0
0
16
16
0
2
2
2
2
2
16
8
0
8
0
0
0
8
8
1
0
28
0
0
2
0
0
4
1
0
0
0
4
0
0
0
2
32
0
16
0
0
26
8
0
0
0
0
0
8
0
0
0
8
8
8
0
32
0
0
0
0
8
16
16
0
0
0
12
16
0
0
0
8
0
0
0
0
0
0
0
11
0
0
0
0
0
0
0
32
6
6
6
0
8
0
0
0
20
8
8
24
24
24
16
0
0
0
8
8
8
16
16
16
16
16
1
0
0
8
0
8
8
16
16
8
12
0
0
8
8
16
1
0
8
0
0
0
0
8
8
8
0
0
0
0
0
16
0
8
6
8
16
8
0
0
0
0
0
0
25
25
0
40
4
0
0
8
0
8
0
8
8
16
16
16
16
16
0
8
0
8
0
33
1
0
8
8
8
0
0
16
0
4
4
8
4
0
8
0
8
16
0
20
0
2
0
0
4
24
18
16
16
0
0
32
0
0
0
8
0
0
0
0
0
8
24
28
28
4
0
0
0
0
4
0
0
8
8
8
8
5
5
5
0
0
7
7
17
0
1
8
0
8
8
16
16
0
0
4
4
16
8
0
0
0
8
6
2
0
8
8
0
0
5
8
1
8
20
20
20
0
0
0
0
0
0
0
0
0
0
0
0
0
8
4
4
8
2
0
0
0
16
0
0
0
0
24
24
0
0
0
0
0
0
0
0
16
9
0
0
0
0
0
0
1
0
4
0
0
10
10
16
0
0
8
0
0
0
0
0
0
2
0
0
4
4
2
2
0
16
16
16
0
0
4
8
8
2
2
0
20
8
8
8
16
16
0
0
16
0
8
0
0
0
0
0
0
0
16
8
8
0
0
0
24
8
0
0
16
16
2
2
16
16
8
16
0
0
0
8
8
8
0
8
0
0
0
32
32
32
0
0
0
0
0
0
16
16
0
0
0
0
0
0
20
20
0
4
0
8
8
0
0
8
0
4
8
8
4
4
0
0
0
0
0
8
28
4
8
20
20
20
25
8
12
12
12
16
16
16
8
16
16
16
0
0
2
0
8
0
0
0
24
8
17
0
0
0
0
6
9
0
0
1
1
16
16
16
4
8
0
0
0
0
0
0
0
0
0
8
8
0
8
0
0
0
1
0
0
1
0
0
0
8
0
1
0
0
16
8
0
0
0
2
0
2
2
2
2
8
0
0
8
8
8
8
0
0
8
8
8
48
32
32
8
1
8
8
8
0
0
0
0
0
0
8
0
16
16
16
16
16
16
4
4
0
0
2
2
2
8
8
0
16
16
8
8
8
12
0
2
1
0
8
8
0
0
0
0
0
0
0
0
2
2
0
0
0
16
16
16
16
16
0
0
8
0
8
0
0
0
0
0
0
0
0
61
61
0
8
0
16
16
16
24
0
0
0
0
0
8
8
0
0
4
0
2
2
2
2
2
24
8
4
7
16
4
0
0
8
4
8
48
48
0
0
4
2
2
2
0
0
0
16
16
16
16
1
12
4
0
0
0
0
0
0
0
18
9
9
40
2
16
0
4
0
8
0
0
0
0
0
8
0
2
4
8
8
8
8
0
0
0
0
16
0
32
32
0
4
8
8
8
0
8
8
0
0
0
16
0
0
34
0
0
0
0
4
0
0
0
24
16
0
8
8
8
0
0
0
4
40
8
16
0
0
16
0
0
8
8
8
0
0
2
0
0
0
0
8
2
2
2
16
0
0
16
8
2
2
2
2
2
2
16
0
0
4
4
0
0
8
16
16
16
8
32
2
0
8
0
0
0
0
0
0
8
0
0
8
16
0
0
0
0
0
0
0
5
24
0
0
8
8
8
0
24
24
24
8
8
8
0
40
16
16
8
8
4
4
4
0
8
8
8
16
16
16
16
16
0
0
0
0
0
4
8
8
1
1
1
1
8
2
2
32
32
32
32
8
22
22
4
4
4
4
0
0
0
1
0
0
0
16
16
16
8
2
8
8
8
0
0
0
0
4
0
8
8
0
16
8
0
4
0
16
16
16
0
0
0
0
1
1
1
0
0
0
16
24
8
8
16
0
16
0
0
2
8
10
0
2
2
8
8
8
8
8
8
2
0
0
0
0
8
60
0
0
0
0
0
0
0
0
8
16
0
0
32
0
1
8
8
0
32
0
8
14
8
0
4
0
24
0
0
2
0
0
0
8
0
0
0
4
0
0
8
8
8
8
8
8
8
8
8
0
0
0
0
16
8
8
8
8
8
8
8
8
17
17
17
17
17
17
8
0
0
16
16
0
0
0
0
0
16
17
16
8
0
8
0
0
8
0
0
0
16
16
16
16
0
4
0
0
0
8
16
0
0
8
8
8
1
0
0
2
2
2
0
0
0
0
0
0
12
0
8
8
0
0
28
28
0
10
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
16
16
16
4
0
0
0
0
8
2
2
2
2
0
0
1
1
0
4
0
5
5
0
0
0
0
0
8
8
8
1
1
0
20
20
0
1
16
0
0
0
0
0
0
0
0
0
0
5
8
8
1
8
8
8
0
0
0
0
1
0
0
8
8
16
0
0
0
16
8
0
0
18
2
0
24
24
8
8
8
8
0
0
16
4
0
0
0
18
40
8
8
1
1
12
0
16
16
0
0
0
16
32
1
5
0
0
0
0
0
0
8
0
0
1
1
1
1
0
0
0
0
0
0
59
0
0
0
0
12
12
0
0
0
1
16
16
16
0
12
8
8
16
16
8
0
0
0
0
0
0
12
8
8
0
24
8
8
0
1
4
8
8
8
4
0
0
8
0
0
0
0
8
8
48
0
1
1
0
0
8
8
8
8
32
0
0
0
0
8
8
0
0
16
16
1
17
17
17
0
16
16
0
0
0
8
4
4
51
35
35
0
0
0
0
8
18
0
0
8
16
16
16
0
0
0
8
0
16
5
0
0
0
0
16
0
0
0
0
0
0
0
0
0
16
0
0
24
1
0
0
0
0
0
0
4
4
8
0
0
2
2
16
0
16
0
0
0
0
0
16
0
0
8
16
0
16
12
8
0
6
0
8
2
2
8
8
0
0
0
4
0
0
0
0
2
2
1
4
8
8
8
8
8
8
4
0
0
0
8
0
8
24
16
0
0
2
2
16
0
16
16
16
0
0
0
0
8
24
16
36
0
0
0
0
1
32
1
1
16
0
0
8
8
8
0
0
0
0
0
1
1
0
0
8
2
0
0
0
16
16
0
8
8
8
0
0
0
36
16
0
0
8
2
2
0
0
0
0
16
0
16
1
0
0
0
4
0
8
16
1
1
0
0
0
0
8
0
0
0
0
0
0
0
16
16
0
16
16
0
0
0
32
16
0
0
8
4
0
2
2
2
2
0
0
16
16
8
8
8
0
0
0
24
24
24
2
0
0
0
0
16
8
0
23
0
0
0
0
0
8
8
8
0
0
0
2
8
8
0
0
8
8
8
0
0
0
16
8
12
8
0
4
8
0
0
0
0
0
8
0
8
0
16
0
8
0
0
0
0
16
0
0
4
8
8
8
8
8
8
0
0
0
8
8
17
17
0
41
8
8
0
0
1
8
8
0
0
0
0
0
0
0
8
8
8
17
0
8
8
16
56
8
16
16
20
20
20
28
28
0
0
0
0
0
0
0
0
0
1
0
0
0
2
16
16
1
0
0
0
0
0
0
1
1
8
0
0
0
0
8
8
16
0
2
0
4
1
1
1
12
0
16
16
12
8
16
16
24
0
0
0
0
0
8
8
0
0
0
2
8
8
0
0
9
8
8
16
16
2
0
0
4
1
8
8
0
0
2
2
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
8
20
0
0
0
0
0
16
16
8
0
8
0
8
0
0
0
0
0
0
0
0
0
0
8
0
18
18
8
7
4
8
8
0
0
32
32
8
2
2
0
0
0
16
16
0
0
0
0
8
0
4
8
8
8
32
26
8
8
1
32
2
2
2
4
4
4
4
8
0
0
0
8
8
0
0
4
0
8
8
0
0
0
8
16
0
0
2
8
0
8
0
2
2
0
0
16
16
12
4
0
16
16
16
16
0
8
32
0
0
0
1
1
0
0
12
24
8
8
0
0
0
0
0
8
0
0
32
32
4
4
16
16
16
16
16
16
8
34
34
16
8
8
1
0
0
16
0
8
8
0
0
4
4
4
4
0
0
0
8
0
8
1
8
19
0
0
8
8
0
0
8
8
8
8
16
24
8
8
8
0
0
0
0
9
9
9
0
8
0
0
0
8
8
0
0
16
0
16
16
1
0
16
0
2
2
0
2
0
8
8
8
16
4
4
8
1
1
0
0
8
16
16
16
2
2
8
8
8
16
16
32
0
0
0
14
0
0
16
16
0
0
16
8
36
0
8
0
0
0
0
8
0
0
0
17
0
8
0
16
0
0
0
0
0
0
0
8
28
0
0
0
0
0
0
0
0
24
24
1
0
8
0
2
4
32
1
1
1
0
16
8
0
0
8
8
8
8
8
0
0
0
0
8
0
16
12
12
4
0
4
4
1
0
8
8
0
32
0
0
0
24
24
8
8
8
0
25
0
20
4
8
18
16
0
0
16
8
0
8
8
16
0
0
0
0
0
0
0
0
8
0
8
18
8
8
4
8
8
8
0
5
5
0
0
0
0
0
0
0
0
0
8
8
1
34
34
0
0
0
0
24
24
4
0
0
0
0
0
2
2
4
4
16
16
0
8
8
4
9
0
2
0
8
32
4
4
0
0
0
4
1
1
1
24
8
8
8
0
0
0
0
0
16
0
28
1
16
0
0
0
16
0
0
21
8
8
22
4
1
0
0
0
8
8
0
0
16
0
8
8
0
16
0
8
8
16
18
8
8
16
16
0
0
1
8
0
0
0
8
0
16
16
0
4
4
0
0
8
16
16
8
8
8
0
0
8
29
8
8
0
0
0
0
0
0
0
0
0
32
25
0
4
16
16
16
0
0
0
0
32
2
16
0
1
1
0
0
27
1
1
1
0
0
16
16
0
4
0
0
0
1
0
0
16
0
0
0
0
0
8
32
16
16
0
0
0
0
0
8
8
8
8
24
0
0
0
0
18
0
8
0
0
0
16
16
8
0
0
28
0
0
0
8
0
0
16
16
16
8
8
4
8
0
0
0
0
0
0
8
12
4
0
0
10
0
32
24
8
8
8
0
0
0
8
8
8
1
1
16
8
8
8
0
16
0
0
0
0
0
0
8
1
0
16
0
1
0
0
1
0
0
0
0
0
0
8
8
17
17
17
0
0
8
0
0
28
8
0
8
8
8
0
0
0
0
0
0
0
0
0
16
1
0
0
0
4
4
0
0
0
0
8
8
0
0
2
2
2
0
0
0
8
8
0
0
0
32
8
8
0
0
4
0
0
0
0
0
0
0
0
0
16
16
0
18
8
8
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
7
0
0
8
6
8
8
4
16
8
0
0
8
8
0
0
0
16
16
0
4
8
1
1
1
8
8
8
8
8
0
2
0
16
16
16
0
0
0
0
0
16
4
0
0
0
0
0
0
0
0
0
0
0
0
2
8
0
8
0
0
32
32
32
32
32
4
4
4
0
0
0
0
16
0
16
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
32
0
16
0
0
0
0
0
0
6
29
29
0
0
0
0
16
8
0
0
0
0
8
0
0
0
0
16
16
40
8
8
1
2
2
0
8
8
8
0
0
0
8
16
0
0
0
8
0
0
17
33
0
1
1
4
16
16
16
4
3
2
32
0
0
0
8
0
1
1
1
0
1
1
0
0
0
1
8
2
2
0
8
34
34
34
34
34
0
0
0
0
0
0
16
0
16
0
0
8
8
6
6
6
8
0
0
0
8
4
4
4
4
4
0
0
16
0
0
16
16
0
0
0
0
9
8
0
1
8
0
0
2
2
2
2
12
4
4
20
8
8
4
0
16
16
8
0
16
24
0
0
0
0
2
16
16
16
0
0
0
0
2
0
1
1
0
8
4
4
8
8
0
0
0
0
24
24
16
0
0
0
4
1
4
0
0
0
8
8
16
16
0
0
8
16
0
0
1
0
0
0
0
8
0
16
16
16
1
1
8
16
0
8
0
4
8
16
0
40
40
18
0
8
8
6
16
0
8
0
0
0
0
8
16
0
8
8
8
0
0
16
0
0
0
16
16
0
0
0
2
2
0
4
4
0
8
8
0
0
0
0
0
0
16
40
21
2
16
8
0
8
8
4
8
8
8
8
8
8
0
16
24
24
4
0
0
16
8
8
8
8
8
4
4
2
2
0
0
1
0
4
4
8
0
0
24
16
8
0
0
0
0
0
0
16
16
16
16
0
0
0
0
16
0
0
4
0
0
0
0
0
0
0
0
0
8
8
8
0
0
16
8
0
0
0
0
0
0
4
4
0
0
0
0
0
4
0
8
20
0
21
8
8
8
0
0
0
0
0
0
0
16
16
16
16
16
16
16
8
8
16
0
0
0
0
35
0
0
0
0
0
0
0
1
16
8
0
0
0
0
0
0
8
16
0
24
8
8
8
8
8
8
8
0
8
8
8
0
0
16
0
0
0
0
0
4
57
0
0
0
0
8
12
8
0
24
0
0
4
28
0
1
0
0
0
0
0
0
0
8
0
0
24
0
8
8
8
8
8
8
8
8
8
0
0
0
0
0
0
0
0
9
16
0
0
0
0
0
0
0
24
0
9
2
16
0
0
9
16
0
4
1
2
5
2
2
2
2
2
0
0
0
8
4
0
0
0
0
16
16
16
16
24
24
24
0
8
0
2
0
8
8
0
0
4
4
4
0
8
0
0
0
0
4
16
16
4
24
0
0
0
0
8
24
8
4
4
24
4
4
8
8
0
0
0
0
0
0
24
24
8
11
11
11
11
11
11
8
8
8
8
17
8
8
0
0
0
8
16
16
8
8
1
16
32
32
8
8
16
16
8
8
16
0
2
2
2
2
1
0
0
0
16
8
8
16
0
0
2
8
8
8
0
0
0
1
0
9
9
9
9
0
1
0
0
0
20
20
20
8
8
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
28
16
32
2
0
16
16
0
0
0
16
4
0
0
1
0
32
32
32
16
16
16
16
16
16
0
4
8
8
8
8
8
16
8
8
16
0
16
0
8
8
0
8
7
24
0
0
0
16
16
16
32
8
0
16
16
24
1
1
1
1
1
1
16
0
1
24
4
4
0
0
31
31
0
0
0
4
0
0
8
0
0
0
4
32
32
0
8
8
2
8
25
0
16
16
0
0
0
16
16
0
0
16
8
0
16
8
8
8
8
4
6
6
16
0
8
2
0
0
4
4
4
4
0
0
4
4
1
0
8
12
0
0
0
0
8
24
24
24
8
8
8
0
16
16
22
22
16
9
8
0
8
0
0
0
8
8
0
0
16
1
0
0
0
0
0
0
0
8
8
1
8
0
0
0
32
32
34
16
8
0
0
4
0
2
2
2
2
2
2
16
0
8
16
16
8
0
2
2
0
0
0
8
8
0
0
0
16
0
32
24
0
1
0
0
16
8
8
0
0
4
20
8
8
16
8
8
0
0
0
0
0
0
0
0
17
0
8
0
8
0
0
0
16
4
0
0
0
8
8
8
8
26
26
16
0
32
1
0
0
0
8
0
16
0
0
3
2
16
16
0
32
32
0
8
0
8
8
16
1
1
16
16
2
2
0
0
0
1
1
8
8
8
12
4
4
0
0
0
4
8
4
16
16
2
2
25
8
4
4
8
0
16
0
2
2
2
0
0
8
8
16
8
0
0
0
0
0
0
8
20
20
0
0
0
0
4
0
0
16
0
2
8
0
8
0
32
0
0
0
3
3
8
16
0
0
1
0
0
0
8
0
0
0
0
0
0
0
42
0
0
0
0
0
0
0
0
33
32
32
32
0
0
0
0
0
0
0
0
0
0
0
4
8
2
25
0
17
2
2
0
0
0
16
0
22
0
0
8
8
1
1
1
0
0
0
0
0
0
0
0
0
8
0
16
16
0
8
8
8
0
0
4
0
8
8
8
8
4
0
4
0
4
2
8
8
8
8
8
16
32
0
0
0
0
0
0
1
8
0
12
12
12
8
8
8
1
0
0
0
4
4
4
0
0
8
8
0
0
0
16
16
16
16
0
10
10
9
0
0
0
0
0
4
0
4
4
0
16
0
0
4
4
4
0
0
0
3
2
5
0
0
8
9
9
0
0
0
0
28
17
8
8
40
0
4
24
0
0
2
0
0
0
16
16
0
0
0
0
4
26
8
8
2
0
0
0
0
0
0
0
24
24
12
8
8
8
0
0
20
20
20
0
8
8
8
0
10
8
0
0
0
4
0
24
0
0
0
0
0
8
0
0
0
0
8
32
32
0
0
0
8
8
8
8
0
8
8
8
0
0
16
16
16
16
5
0
0
0
0
0
16
0
8
16
8
0
16
0
0
0
0
0
8
0
4
0
8
8
1
1
4
4
1
0
1
0
0
0
0
18
0
8
0
0
0
24
4
4
0
16
0
0
0
0
0
32
0
0
0
0
0
0
0
0
8
8
8
8
0
2
8
8
8
8
8
32
32
32
36
8
8
8
0
8
8
8
8
8
16
0
32
0
0
0
8
1
32
16
0
0
0
0
0
0
8
8
8
0
4
4
0
8
20
20
20
0
0
2
2
2
0
0
0
0
0
0
0
0
4
8
8
8
8
0
0
0
16
24
8
2
2
2
2
8
8
16
16
8
16
16
16
16
4
0
25
16
0
8
4
4
16
10
10
0
16
0
8
16
0
8
0
16
16
0
0
0
0
16
16
16
16
16
16
0
0
3
1
0
48
8
0
8
8
0
0
12
8
0
8
8
8
8
4
4
0
0
0
0
0
8
16
8
4
24
24
16
16
8
8
0
0
0
8
8
0
0
0
0
8
8
2
0
0
0
8
8
0
0
0
8
2
2
16
0
0
8
8
0
8
0
0
8
0
2
16
0
0
0
0
0
0
0
8
8
8
8
16
0
8
8
8
0
6
6
1
1
0
0
0
2
0
8
8
8
0
0
0
0
0
0
8
8
0
0
8
8
16
1
1
0
8
0
0
8
8
8
8
18
9
0
0
0
8
8
8
0
0
3
12
16
16
0
16
8
8
8
8
8
2
0
0
0
8
8
8
17
0
0
2
2
2
1
1
24
0
20
0
4
24
24
0
8
1
4
0
0
24
16
0
20
20
20
18
0
0
0
40
0
0
0
8
10
10
16
4
0
0
0
0
0
0
0
0
0
0
1
25
0
8
8
8
0
9
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
4
4
16
16
16
8
24
5
0
0
0
8
0
8
0
0
8
10
10
0
1
1
1
1
1
1
32
20
20
20
20
20
0
16
0
0
8
16
24
24
0
0
16
0
16
16
16
16
1
1
8
0
0
5
24
0
16
32
16
16
8
18
18
0
16
0
0
2
2
14
16
16
0
0
0
16
0
16
4
4
16
8
2
16
0
0
0
0
0
0
8
8
0
16
0
0
0
0
0
0
24
8
8
0
1
1
1
1
0
0
0
0
8
8
8
0
0
16
16
40
8
8
8
4
4
8
8
8
2
32
8
8
0
0
0
0
8
8
0
0
8
8
0
0
8
4
4
4
4
4
4
8
2
2
16
8
8
0
17
0
8
32
16
16
16
2
8
8
17
17
17
0
0
16
16
16
16
16
0
4
8
16
4
0
20
10
10
0
0
8
8
8
0
16
8
8
0
16
16
16
16
8
0
16
16
0
0
16
18
8
4
4
0
0
16
16
16
0
16
16
16
32
8
20
4
4
4
4
4
16
0
0
8
8
1
8
8
0
8
16
16
16
16
16
16
16
16
16
8
2
2
5
8
8
0
0
16
0
16
16
16
0
0
4
8
0
24
4
0
0
0
4
0
0
0
0
0
0
16
16
16
16
16
16
2
2
2
8
0
1
0
1
1
0
8
16
16
8
0
8
8
4
4
4
16
1
1
1
8
4
4
4
0
0
0
0
0
0
0
0
0
0
0
16
0
0
8
8
8
8
8
2
2
2
8
8
16
8
0
16
0
0
0
0
0
8
8
0
0
4
0
0
0
0
2
1
1
21
0
16
28
28
0
0
0
0
4
9
9
0
0
0
0
0
4
8
0
4
0
0
16
16
8
16
16
9
16
0
0
32
32
8
8
32
32
16
17
0
0
0
8
8
0
0
0
0
0
0
16
8
0
0
16
16
16
0
16
0
0
8
0
0
0
21
4
4
0
0
0
0
8
8
8
8
16
16
0
0
16
16
16
16
16
4
0
0
8
16
0
0
0
0
0
0
8
8
0
6
0
0
1
1
1
8
0
4
4
0
16
18
16
16
16
0
0
0
0
3
1
1
0
12
8
0
0
32
4
4
8
16
16
16
16
4
1
0
0
0
0
0
4
0
0
16
0
0
0
4
4
4
4
0
16
9
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
8
8
0
24
16
16
16
0
0
0
0
0
0
18
0
0
0
0
1
8
1
16
16
0
8
16
12
12
0
0
0
0
0
0
4
8
0
0
8
8
8
4
0
0
0
0
0
0
0
0
8
8
32
8
8
8
8
0
0
0
16
0
0
0
0
0
1
1
4
4
16
0
0
0
0
0
16
16
0
0
8
4
4
4
8
0
8
8
0
0
8
8
8
0
0
0
0
0
0
16
8
8
0
8
8
0
0
16
16
8
0
0
8
16
4
8
8
8
20
1
0
0
4
4
0
0
4
0
0
4
4
4
4
4
10
32
16
16
16
16
16
16
16
16
0
8
16
21
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
1
0
0
0
0
16
8
8
8
16
8
0
0
0
0
0
0
0
8
16
16
8
0
0
0
8
4
12
16
16
12
12
12
0
24
8
6
0
0
0
0
0
0
0
16
16
16
16
2
2
24
24
0
16
16
16
16
16
8
0
0
0
3
0
18
18
4
4
0
4
4
0
0
0
24
0
52
0
3
16
16
0
0
0
0
0
4
8
20
1
1
32
0
8
16
1
1
24
24
16
16
0
0
0
0
0
22
0
0
0
8
0
0
0
4
8
8
8
8
8
8
8
0
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
2
0
0
0
5
8
0
16
16
8
0
8
1
0
0
9
0
0
4
0
8
16
16
12
12
12
0
4
20
0
0
0
19
32
1
0
0
0
8
8
8
0
0
16
1
0
1
2
0
0
8
16
0
16
0
1
1
32
32
32
8
0
0
0
0
0
0
0
1
1
0
1
0
0
8
0
4
0
0
8
8
0
0
16
19
0
8
16
8
8
16
16
0
16
0
0
8
20
20
20
20
20
8
8
8
8
8
8
0
0
0
8
8
8
8
0
8
10
10
8
4
0
16
4
4
0
16
16
16
0
8
8
8
8
17
0
0
0
4
8
0
0
16
8
8
0
0
12
4
16
16
16
16
8
8
0
8
0
0
0
0
24
8
8
8
8
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
1
0
16
0
0
0
0
0
0
0
0
8
0
0
0
8
18
0
0
0
24
48
48
32
8
0
8
8
0
0
32
32
9
8
32
0
8
0
16
16
4
4
12
12
12
12
8
0
0
0
0
4
8
8
32
32
0
0
0
0
0
2
0
0
4
4
8
6
6
1
1
0
8
0
0
0
0
0
0
0
0
32
0
0
16
17
0
0
8
0
0
0
0
2
0
0
0
16
0
0
0
0
0
0
0
16
0
0
0
48
0
16
18
2
0
16
4
4
0
0
16
16
0
17
0
0
0
0
8
8
0
2
16
16
0
1
32
0
0
0
0
0
0
0
0
16
16
5
5
32
32
0
0
0
0
0
0
8
8
8
0
0
8
0
0
0
0
16
0
0
0
0
0
0
8
8
0
0
0
0
16
0
0
0
1
8
8
16
16
0
0
5
0
0
0
0
0
0
1
0
0
0
0
0
8
4
4
0
8
8
8
8
0
16
0
0
0
8
0
0
20
0
8
8
16
0
8
8
0
4
0
8
1
1
16
16
0
0
0
0
8
8
1
8
8
4
0
8
0
34
8
8
36
0
0
0
0
13
13
13
4
4
4
0
0
0
0
8
8
16
8
8
0
9
16
16
0
8
20
26
16
16
16
16
16
16
16
16
16
0
0
18
18
18
18
8
8
24
24
0
0
8
0
0
8
8
8
8
0
0
16
0
9
0
0
0
0
0
0
0
0
16
8
8
16
0
8
8
0
48
48
48
48
8
2
0
16
4
0
6
2
16
16
16
0
0
8
16
8
8
16
4
12
0
0
16
0
0
0
0
0
2
0
0
0
0
2
0
0
0
48
0
0
16
16
16
16
0
8
0
0
16
8
8
25
0
8
1
1
1
1
1
0
16
0
8
16
0
0
0
0
0
8
8
32
0
8
8
8
8
4
4
1
4
0
0
0
0
2
4
0
8
0
0
8
8
16
0
0
16
0
16
0
21
0
0
0
0
4
1
1
17
4
33
8
16
16
0
0
0
0
16
0
0
1
1
0
0
0
0
17
8
32
0
16
0
17
0
0
0
8
1
8
8
4
16
16
16
1
8
8
2
0
8
8
2
8
8
8
8
8
8
16
16
16
16
16
16
16
17
8
8
8
8
8
8
0
0
16
8
8
1
1
19
0
24
1
1
0
2
2
16
16
16
0
8
8
8
8
12
4
0
0
8
0
4
16
16
0
8
8
0
0
0
0
8
8
8
25
9
8
0
48
48
8
0
0
0
0
8
1
1
8
0
0
32
0
1
4
4
0
32
8
8
0
0
16
16
16
0
1
8
0
8
0
24
0
10
10
26
16
8
0
1
1
8
16
4
4
0
0
4
0
57
57
0
0
0
8
0
16
0
0
8
0
0
0
0
16
16
0
0
0
0
0
0
0
24
24
24
0
0
8
48
48
48
8
8
0
8
0
0
0
0
1
0
0
16
16
0
0
0
0
0
0
0
0
0
0
24
8
8
0
4
4
8
0
0
8
2
0
8
8
8
8
8
16
9
9
16
0
16
0
8
8
0
0
8
8
0
8
8
8
1
1
1
8
0
8
8
8
8
10
8
2
0
0
1
8
6
0
8
8
11
11
11
16
16
0
0
24
24
16
4
0
16
16
8
8
0
2
0
0
8
4
1
8
8
8
8
0
0
34
8
1
4
8
0
8
2
40
0
0
0
4
4
0
0
0
8
4
4
8
8
8
8
8
32
0
0
0
1
0
0
0
8
0
32
32
0
1
0
0
0
0
0
0
8
8
16
0
0
0
8
0
0
0
0
8
8
8
8
20
20
1
8
8
8
0
0
0
2
25
0
0
0
0
0
0
8
8
8
8
16
1
0
0
0
0
0
0
8
8
8
8
0
16
16
1
0
0
0
0
0
2
0
40
8
0
0
0
0
17
17
17
16
16
16
4
8
8
8
8
0
0
0
0
1
8
8
0
0
0
0
0
0
0
8
8
0
0
4
4
4
4
4
4
48
48
0
2
2
2
2
62
16
16
0
16
0
0
16
16
16
16
16
2
0
0
0
0
0
8
8
1
1
1
0
0
24
57
57
16
16
0
8
8
8
0
0
0
8
16
16
8
0
4
0
0
32
16
0
0
0
0
0
0
1
1
16
16
0
0
0
8
8
8
16
16
0
0
0
24
0
0
0
16
16
0
0
0
0
0
8
8
8
8
8
8
0
16
16
16
4
4
0
0
8
16
8
8
0
32
32
32
2
0
24
4
8
8
8
16
16
0
0
8
1
0
0
0
0
8
0
0
16
2
0
4
4
9
0
0
24
8
8
0
18
16
3
3
3
0
0
0
0
4
4
4
0
8
0
8
8
8
0
0
0
0
16
1
1
8
8
8
8
0
0
0
8
8
8
8
8
8
8
8
0
8
16
16
16
16
9
0
0
0
0
0
0
8
32
32
32
0
8
0
8
0
0
0
24
0
0
0
4
4
16
4
4
1
8
0
8
0
4
8
0
0
0
8
8
8
0
8
8
32
32
0
0
4
24
2
0
14
26
24
24
24
8
0
0
1
1
8
16
0
24
0
18
2
0
16
0
8
0
0
0
0
0
0
2
16
16
8
56
56
4
0
8
0
1
8
8
4
8
4
4
4
4
4
0
0
16
16
8
5
0
8
0
0
0
0
8
8
32
0
0
0
0
16
16
16
8
16
16
4
0
8
0
0
0
0
0
0
0
16
8
16
0
0
0
0
0
0
0
0
48
16
0
8
8
32
0
16
4
0
16
4
8
8
8
6
0
16
8
8
8
8
8
8
16
16
0
0
1
1
1
1
1
0
20
8
8
0
2
2
16
16
16
16
16
8
8
16
16
0
0
8
16
0
0
0
32
0
0
8
8
0
0
8
8
8
0
0
0
16
16
16
0
11
11
0
0
0
8
8
8
8
16
16
0
1
0
0
28
28
28
4
8
0
0
0
0
0
0
0
12
12
12
0
0
0
0
0
0
0
0
1
0
0
0
0
0
8
8
0
1
1
16
16
0
4
0
0
0
8
8
0
0
4
0
2
16
16
9
5
1
1
16
16
16
16
8
8
0
0
0
0
0
0
0
2
8
0
16
16
16
2
8
8
8
0
16
8
8
8
8
0
0
0
0
0
1
1
0
0
0
0
0
17
1
1
1
1
0
8
0
4
0
0
8
8
0
24
17
0
0
16
16
10
10
0
1
0
1
1
1
16
16
32
0
0
0
8
20
0
0
24
0
0
17
16
16
8
4
4
4
4
0
8
16
0
8
8
8
8
8
0
0
4
0
0
1
1
1
0
8
8
0
0
0
16
0
8
0
20
4
16
8
8
8
2
2
0
4
1
1
0
36
20
4
16
16
16
0
8
16
16
16
0
0
0
0
32
32
0
0
0
8
0
0
20
16
0
0
0
0
8
8
8
0
0
0
0
0
8
8
0
8
0
0
0
4
4
4
0
0
32
0
0
0
1
1
1
8
8
8
8
0
0
0
16
0
16
16
1
1
1
24
8
8
8
8
2
1
0
0
33
0
0
42
42
42
2
16
16
16
2
0
20
20
0
0
0
8
8
1
1
16
8
0
0
24
0
40
16
16
0
0
0
16
1
0
0
0
27
0
2
17
16
16
0
0
0
0
14
0
0
4
0
16
0
0
1
0
3
1
17
16
16
8
8
8
8
8
1
1
1
4
8
0
0
0
3
0
0
0
2
8
8
8
0
8
1
1
24
0
0
0
0
8
8
0
4
4
4
33
33
0
0
32
32
0
0
0
0
8
8
8
8
8
0
8
8
6
16
2
40
0
16
16
16
8
8
51
51
0
0
8
8
8
8
8
8
0
0
2
2
14
8
0
0
1
1
1
16
16
0
0
0
8
0
0
0
0
0
0
0
0
0
0
18
18
16
8
0
8
8
8
8
1
0
0
24
24
0
0
0
4
2
0
0
0
0
17
17
0
8
2
0
0
0
0
0
0
8
0
28
0
8
8
0
0
2
2
2
6
0
0
0
0
12
12
4
0
40
4
4
11
11
0
24
0
0
0
0
0
0
0
16
16
16
0
16
12
8
0
24
24
24
0
8
8
9
9
9
9
0
0
8
8
8
8
32
8
8
4
0
8
16
0
0
0
0
8
8
4
4
8
8
0
0
0
16
8
0
0
0
0
0
0
8
8
0
0
24
24
8
8
8
8
16
16
16
16
16
8
8
8
8
8
0
0
8
8
8
8
8
4
4
23
0
0
0
3
0
0
0
0
0
24
24
24
2
8
8
8
0
0
0
0
0
16
10
0
2
0
0
0
2
2
0
8
8
8
0
4
0
0
28
28
28
28
16
16
16
0
0
2
0
16
0
32
8
0
8
4
13
8
0
0
8
8
0
0
0
0
9
9
0
8
8
8
0
16
0
0
0
0
8
8
8
8
32
0
0
8
0
16
6
6
8
4
8
8
8
4
0
0
0
0
2
2
2
2
2
2
2
0
0
0
0
32
32
0
0
0
24
24
0
0
0
0
0
0
8
8
8
8
0
0
0
0
0
4
4
0
4
28
8
8
0
1
0
0
8
8
0
0
0
0
0
0
0
0
4
16
0
0
16
16
10
4
4
0
8
0
0
0
0
0
16
4
0
0
6
32
32
0
0
8
0
8
4
4
0
24
0
0
0
0
0
26
20
20
8
0
0
0
8
0
0
16
16
48
0
17
0
0
0
1
8
0
0
24
24
24
24
24
16
0
8
8
8
8
8
0
0
16
0
0
0
0
16
0
0
0
16
0
0
0
8
5
0
32
16
20
20
12
12
12
0
20
4
0
0
0
0
8
8
8
4
1
1
4
4
1
0
0
0
8
8
8
8
8
2
0
0
0
0
16
16
32
0
22
22
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
1
0
0
8
8
8
17
0
0
0
2
16
8
8
0
16
8
0
0
0
0
0
8
8
16
16
0
0
0
0
24
24
24
16
24
0
0
0
0
0
8
4
32
0
0
4
16
16
0
0
16
8
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
16
0
0
0
0
0
8
8
8
0
2
8
0
0
16
16
8
8
8
0
26
26
16
4
0
4
0
16
0
0
16
16
16
16
16
8
8
0
0
1
0
0
8
0
16
32
32
0
0
2
2
2
12
16
2
0
0
0
0
0
4
4
0
0
0
0
2
0
8
17
0
0
0
0
0
12
0
8
0
0
0
0
8
0
8
0
0
0
56
56
0
0
0
16
16
16
18
0
0
17
4
8
0
16
16
16
16
4
8
0
61
61
4
0
8
40
0
0
1
1
0
0
8
8
8
4
0
8
8
8
8
8
8
8
8
16
16
16
8
0
0
8
8
8
16
24
0
0
16
8
0
34
16
4
0
0
8
8
8
0
4
0
0
0
0
16
16
4
0
0
0
0
16
32
16
16
16
16
8
8
0
0
0
8
16
4
4
8
1
8
0
0
0
0
0
0
4
8
0
4
48
15
8
1
8
8
16
0
0
0
0
0
0
8
0
0
0
0
0
8
0
0
0
0
0
0
4
4
8
20
20
20
16
2
8
1
1
4
4
4
4
0
16
16
16
16
16
8
20
0
1
0
1
40
0
0
4
0
0
0
18
18
0
16
16
0
0
1
16
9
8
8
8
0
0
0
0
16
16
8
8
12
12
0
0
16
16
16
0
16
8
0
0
6
6
28
0
0
6
2
1
0
16
2
2
2
2
0
0
24
0
0
4
4
4
0
0
0
0
0
16
1
16
16
16
8
4
0
0
0
0
0
0
0
0
11
11
0
8
0
0
0
4
0
0
8
16
0
4
0
0
0
0
0
8
0
16
0
0
0
0
0
0
0
8
24
0
0
2
0
0
12
16
8
8
0
0
0
16
0
0
8
8
8
18
16
0
0
8
0
0
1
0
0
16
16
16
16
16
16
16
2
8
8
8
8
8
8
0
16
0
2
2
0
16
0
16
0
8
8
0
8
8
16
0
0
16
0
0
0
0
0
16
16
16
1
1
1
0
16
0
8
1
0
8
0
1
1
1
1
1
0
16
0
32
16
8
8
8
0
0
0
0
0
16
8
0
0
0
0
16
8
8
8
8
8
0
0
40
40
40
0
8
0
0
16
0
32
8
8
8
8
0
0
16
8
16
6
0
8
8
16
16
1
8
8
8
1
0
16
16
0
0
8
8
8
8
4
0
0
8
2
2
2
2
8
8
8
0
2
2
2
2
2
0
2
2
2
1
1
0
0
0
0
10
8
8
12
8
8
1
1
9
4
8
0
1
0
0
0
4
4
4
4
0
8
9
0
0
0
0
0
0
1
24
16
16
16
0
1
0
8
1
0
2
2
24
0
0
0
1
1
0
0
0
0
0
0
0
0
0
1
0
0
16
16
0
8
16
0
8
4
0
0
0
0
0
16
2
0
21
16
1
1
1
8
0
4
0
0
4
4
4
4
0
0
0
8
16
1
1
0
0
0
0
0
0
0
8
8
0
8
0
16
16
16
0
8
0
0
0
0
17
23
0
0
8
8
0
0
0
8
8
16
8
0
8
8
8
16
0
0
8
0
0
0
0
0
16
16
16
16
16
0
8
8
8
8
8
8
0
0
0
0
8
8
0
16
16
4
0
1
0
8
8
2
16
4
4
4
0
0
0
0
4
1
4
10
20
20
8
1
1
1
0
16
16
16
16
24
8
0
4
0
8
8
8
1
17
0
16
16
24
0
8
1
1
0
0
20
32
8
8
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
0
8
0
16
0
16
8
0
0
20
16
17
17
8
0
4
4
4
0
0
0
0
0
0
16
16
16
32
8
8
8
8
8
2
2
2
4
0
4
0
20
0
0
0
16
2
2
8
8
8
0
0
8
0
4
0
0
4
3
0
0
0
8
8
8
0
0
0
0
0
0
0
1
8
0
16
0
24
0
0
8
0
0
0
16
0
0
0
8
8
0
8
16
4
8
0
0
0
0
0
0
0
16
8
8
8
8
0
0
4
0
0
0
0
8
16
16
16
0
0
8
16
8
0
37
0
0
0
8
8
16
16
0
8
8
8
8
0
4
0
0
0
24
16
16
25
25
0
8
16
8
8
16
16
0
0
4
1
1
8
2
0
0
0
0
0
20
8
8
6
4
4
4
4
4
0
0
0
0
0
8
0
9
8
0
0
16
0
0
0
0
0
0
16
16
16
16
16
16
8
8
0
0
8
8
16
16
0
8
8
24
0
0
0
7
7
7
2
8
8
8
16
16
0
16
16
0
8
8
8
0
0
6
6
6
0
8
13
13
13
0
16
16
16
8
8
0
2
0
0
16
16
0
0
0
0
0
0
0
0
0
0
2
4
4
4
4
0
0
0
0
0
0
16
16
17
4
16
16
0
0
0
8
0
0
13
0
0
0
0
1
8
8
8
0
0
0
0
8
8
0
2
8
8
22
0
0
0
16
0
0
4
0
24
24
16
16
0
1
16
8
4
8
8
8
8
8
4
0
8
0
0
8
8
0
0
0
16
0
0
0
0
2
8
32
32
32
0
2
0
2
2
16
16
8
8
16
16
0
0
0
0
0
0
0
16
16
2
16
16
16
16
16
16
16
4
0
0
8
10
8
8
8
8
8
8
0
48
32
16
16
16
8
8
2
2
2
2
0
0
0
1
4
4
4
0
0
0
0
32
1
2
8
0
8
8
9
8
2
2
0
0
19
16
0
0
8
0
0
0
0
0
0
0
0
0
16
16
17
2
1
0
0
0
8
0
32
32
32
16
16
16
2
2
0
8
8
8
8
16
33
33
33
33
0
4
0
52
52
52
52
9
16
16
16
16
8
8
0
0
0
28
2
0
0
0
0
8
0
0
8
8
20
20
20
20
0
0
0
0
32
0
0
16
16
16
16
16
16
0
0
0
0
2
2
8
8
8
21
8
8
8
0
0
16
8
0
0
0
24
16
8
0
16
0
16
8
0
8
8
8
8
8
8
8
8
8
0
8
8
8
8
0
0
0
0
0
0
49
0
4
4
4
0
0
0
0
1
1
16
16
0
0
0
0
0
4
0
8
0
0
0
0
0
0
0
0
0
0
52
52
52
52
8
8
8
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
1
1
1
0
0
8
0
0
1
8
8
8
0
4
4
0
0
16
16
16
16
4
4
4
16
2
8
2
8
0
0
8
1
0
0
0
16
16
0
4
0
0
0
0
8
8
8
0
0
0
16
16
0
0
0
0
1
24
16
16
16
4
8
0
16
8
16
16
0
8
8
8
16
4
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
8
8
16
0
0
0
0
0
0
8
8
0
8
8
8
8
32
0
0
8
20
17
0
0
0
4
8
8
0
0
0
0
4
10
8
8
4
4
4
0
0
8
2
16
0
0
8
1
1
1
16
0
0
16
16
16
0
0
0
0
20
20
20
0
4
0
0
8
0
0
0
8
0
0
0
1
16
16
16
16
8
0
2
0
0
8
0
0
1
8
8
16
16
0
0
0
8
1
1
1
4
1
0
8
0
0
16
16
8
16
16
16
0
4
0
4
8
8
0
0
8
4
1
0
0
0
8
8
8
0
0
13
16
4
16
16
4
8
16
16
20
0
0
1
24
0
0
0
0
8
16
0
8
16
16
0
0
0
0
0
0
0
0
0
0
8
8
40
0
0
0
16
16
4
8
8
8
0
0
8
8
8
0
0
0
12
0
8
40
0
0
0
0
0
0
0
0
0
0
0
0
8
8
24
8
0
0
0
0
16
16
0
1
0
8
0
0
16
16
0
0
0
0
0
0
0
0
0
8
8
8
1
1
1
28
0
8
0
0
0
24
24
1
0
0
0
0
2
16
4
48
0
8
32
0
0
8
8
0
0
0
0
0
0
0
8
8
0
16
8
8
8
0
16
0
0
2
1
16
16
16
16
3
0
0
0
0
0
24
24
24
0
0
1
4
4
4
24
8
0
8
8
8
8
1
0
2
0
0
16
16
16
16
16
1
1
16
16
0
8
8
1
1
4
4
4
0
0
0
8
8
12
0
0
0
1
1
54
8
2
0
4
16
0
8
0
0
8
0
4
4
0
0
0
2
4
4
4
0
0
0
8
0
0
0
0
0
0
0
16
16
20
20
20
8
0
36
0
24
24
24
0
8
0
16
2
0
0
0
8
16
16
16
16
0
0
0
0
0
0
0
16
0
0
1
0
0
0
0
0
0
16
8
8
5
5
5
32
8
0
0
0
0
8
0
4
4
0
4
0
8
16
16
4
8
0
0
0
0
0
8
8
8
16
16
16
16
0
4
1
1
1
0
8
6
6
0
0
0
28
28
28
28
28
16
16
16
2
0
16
0
0
0
8
8
16
32
32
16
16
0
0
8
8
8
4
4
16
16
16
0
0
0
16
16
16
0
0
16
32
16
20
20
20
8
8
8
8
0
0
0
0
16
24
8
32
45
45
8
8
0
0
0
1
0
0
0
0
16
16
8
2
4
8
0
0
0
0
0
0
0
0
0
16
16
16
16
16
8
8
8
8
8
16
0
0
0
0
17
0
0
16
0
8
17
0
0
0
16
0
4
4
16
16
20
8
0
0
1
4
6
0
16
16
0
0
0
21
0
17
17
0
0
0
0
8
0
0
8
8
8
0
0
0
16
8
0
8
8
0
0
24
0
1
1
1
4
16
0
0
8
8
8
0
0
8
16
0
4
16
16
16
16
16
5
5
8
8
8
8
4
4
4
2
0
0
0
8
32
32
16
4
16
41
41
0
9
16
0
0
0
16
16
0
4
4
4
0
11
11
11
8
4
8
8
8
19
8
8
0
0
0
0
16
8
8
9
16
16
8
0
0
8
0
6
2
0
0
8
8
8
8
8
8
16
16
0
0
16
16
5
5
0
0
0
8
8
8
24
0
24
16
8
8
0
0
2
2
0
0
1
0
8
0
8
8
0
8
0
0
16
16
8
8
0
0
0
0
16
16
0
2
4
16
16
8
8
16
16
16
8
0
0
0
0
8
8
0
0
0
2
0
0
8
8
8
0
17
16
16
0
16
4
8
16
17
17
0
0
16
16
0
8
1
0
0
10
16
16
16
16
2
1
0
0
0
0
0
0
8
0
0
8
8
22
28
28
28
0
8
0
12
0
16
16
16
16
16
16
16
16
16
16
0
0
0
0
8
8
0
0
8
0
0
16
0
8
8
8
8
8
4
8
8
0
20
16
0
12
0
0
48
0
0
0
8
0
8
0
32
32
0
0
1
0
20
0
0
2
0
0
2
2
2
8
8
0
0
0
0
0
16
16
16
0
8
25
8
8
0
0
16
0
8
8
0
0
0
32
17
0
8
8
2
2
0
0
0
0
0
8
24
0
4
4
0
8
8
2
0
0
0
4
0
0
0
0
0
0
0
0
8
8
8
8
8
16
0
0
0
12
12
12
12
8
18
18
0
9
16
0
0
8
4
4
32
0
8
0
0
0
8
0
0
0
0
0
0
16
16
16
16
16
8
0
1
8
0
0
24
16
8
32
24
0
0
0
8
10
10
8
8
8
16
4
4
0
12
8
8
0
4
0
0
0
0
8
12
12
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
16
2
16
0
0
4
4
8
8
0
17
0
0
0
8
0
0
4
4
16
0
0
8
0
0
0
4
0
16
16
16
16
16
0
8
0
2
2
2
0
0
0
0
0
0
8
4
0
16
16
32
32
8
8
26
8
0
0
0
0
0
0
8
0
0
0
0
0
16
0
0
16
16
16
0
0
0
0
0
0
0
0
44
0
0
20
0
0
8
0
16
16
16
16
16
0
32
8
16
0
0
4
0
0
0
0
4
4
10
16
16
8
4
0
0
4
0
2
2
0
0
0
8
8
0
8
0
16
0
0
0
32
32
32
0
4
4
4
0
16
16
16
16
1
1
0
0
16
16
8
8
8
0
20
0
8
8
8
0
0
0
1
8
2
0
0
16
8
0
8
0
0
32
8
16
16
2
17
1
1
1
16
24
0
8
8
10
40
8
2
0
8
40
1
2
16
0
8
8
8
8
0
0
16
16
16
16
24
16
16
32
32
0
16
16
16
16
16
14
8
8
8
1
16
16
0
0
16
16
8
56
0
0
0
14
14
14
0
0
1
0
0
0
4
16
16
16
8
8
1
4
4
0
16
16
9
0
8
8
8
8
8
1
0
16
0
8
48
1
8
4
17
8
8
16
24
24
0
0
0
8
4
16
0
0
4
8
8
0
0
24
24
24
0
0
0
0
0
0
0
8
8
0
0
0
16
0
0
0
0
0
0
0
0
0
8
0
0
1
1
1
1
0
8
8
4
0
2
2
0
4
48
48
16
16
16
0
0
20
20
0
16
0
0
8
8
8
0
0
0
0
0
0
8
0
16
19
19
0
0
16
2
0
0
0
0
0
0
0
0
0
0
8
16
0
0
0
8
8
8
0
0
8
0
0
0
1
0
8
0
19
25
0
0
0
0
0
16
0
8
0
0
0
8
8
8
0
0
0
16
0
8
12
12
12
4
0
8
16
8
10
4
8
8
8
8
8
8
8
8
8
0
0
16
8
0
0
0
20
4
4
0
0
0
0
0
0
16
16
0
32
8
0
0
0
8
8
1
0
0
0
12
16
8
8
0
0
8
8
24
0
0
0
16
16
16
16
16
44
0
0
0
0
0
4
4
8
0
0
0
4
2
0
0
0
0
0
0
16
16
16
16
0
8
32
0
20
20
20
0
0
0
2
16
16
16
24
24
24
8
0
1
1
0
8
8
8
0
16
16
0
8
8
8
8
16
16
16
16
16
0
8
0
0
0
8
0
8
8
8
16
16
28
0
0
0
0
8
8
0
8
8
8
8
8
8
2
0
8
9
9
9
36
2
2
0
0
4
4
23
0
0
0
16
2
0
1
16
16
16
16
16
16
16
0
0
0
0
0
0
0
16
8
0
0
4
4
4
4
0
0
0
5
0
0
8
8
0
0
0
0
0
8
8
8
8
16
16
8
8
2
2
17
35
0
4
16
0
8
0
0
4
8
8
32
8
8
8
0
16
8
8
8
0
0
22
2
0
0
16
16
16
0
0
0
8
0
0
16
0
0
8
2
2
2
20
20
20
20
32
0
0
4
0
0
16
0
1
1
0
15
15
16
16
16
16
16
16
16
0
4
0
0
0
32
32
8
8
8
8
0
0
0
4
8
8
0
0
1
1
0
0
0
0
32
16
16
2
2
0
0
16
16
16
16
0
8
8
0
0
0
0
0
0
16
16
17
1
1
0
2
0
12
12
2
0
8
8
8
16
16
8
0
0
44
8
16
0
6
6
6
16
0
0
16
16
2
0
8
0
18
4
0
0
16
16
4
4
8
8
8
8
8
8
8
8
8
8
8
0
16
16
16
16
16
0
32
8
1
4
4
4
8
0
18
18
18
8
8
21
8
0
0
8
0
0
32
0
1
24
16
0
0
20
16
8
0
0
8
8
8
0
0
0
2
0
8
4
4
0
12
12
0
20
0
8
8
8
0
0
6
6
8
8
0
0
0
16
16
2
0
0
0
0
0
8
28
0
0
0
0
0
16
16
16
16
16
0
0
0
0
0
4
4
4
0
0
0
0
0
16
16
2
0
16
16
16
2
0
0
28
8
8
8
36
0
9
0
8
1
0
0
8
4
4
4
16
0
12
25
16
16
16
0
4
4
4
4
0
0
3
3
1
8
8
0
0
0
0
2
16
8
0
0
17
0
8
8
8
0
16
16
0
0
0
4
4
8
8
8
8
8
32
32
32
32
32
8
8
4
4
0
0
8
17
17
0
2
8
0
0
27
0
8
0
0
0
0
0
0
1
1
16
16
0
0
0
8
8
0
0
0
2
48
8
8
0
2
0
0
8
8
8
8
17
17
17
8
0
0
0
0
0
0
24
0
1
1
1
1
1
0
0
0
8
8
0
32
0
0
0
0
0
0
0
16
16
16
16
16
0
39
39
39
39
22
22
0
8
8
2
0
8
8
0
0
40
0
33
24
0
0
12
0
8
8
4
8
8
8
8
8
16
8
8
8
0
0
0
1
1
16
0
4
4
0
0
8
8
8
0
0
0
0
0
1
1
1
1
2
1
8
8
8
8
8
8
16
16
16
16
0
2
0
0
0
1
4
16
16
0
4
16
16
16
16
16
0
0
1
0
16
4
0
44
0
0
8
8
8
1
1
0
0
16
16
0
0
0
0
8
24
24
8
8
8
8
0
0
32
0
1
4
4
16
8
8
8
0
8
0
0
0
16
16
16
16
8
8
8
0
0
16
16
0
8
8
8
0
0
16
0
8
2
0
33
2
16
0
0
0
8
0
0
0
16
16
0
8
8
8
0
0
0
2
8
8
8
8
8
8
32
0
0
9
0
0
0
0
0
1
24
5
4
4
0
0
20
20
4
0
0
0
0
0
0
0
32
4
16
8
0
0
8
8
0
0
0
8
8
16
16
8
8
0
0
24
24
24
0
1
1
56
56
56
1
0
8
4
0
4
0
2
0
8
8
8
8
8
8
8
2
0
0
1
0
1
0
0
0
0
0
24
24
2
8
0
16
4
4
0
0
16
16
0
0
0
0
0
0
0
36
2
0
24
0
8
8
0
0
24
16
8
8
8
8
8
0
16
0
8
10
0
16
0
0
0
8
2
20
0
0
0
8
0
2
0
4
0
1
1
1
0
0
17
12
0
18
9
8
4
4
4
4
0
16
16
16
16
24
24
24
32
0
8
0
4
0
8
0
0
0
0
2
8
8
0
0
0
0
0
16
16
16
16
0
0
0
0
0
16
0
0
24
0
0
0
40
20
0
4
0
0
0
16
16
8
0
8
8
8
8
0
6
0
8
8
16
16
4
16
12
0
16
16
1
1
0
0
0
0
8
6
32
0
8
16
0
24
24
0
8
0
0
8
8
8
0
0
0
0
0
8
24
0
0
0
0
16
0
10
0
0
1
4
4
4
8
0
16
16
8
24
24
8
0
2
0
0
0
8
0
8
8
16
16
16
8
8
8
8
16
16
0
0
0
8
8
0
0
24
8
0
4
0
0
0
0
0
4
0
0
8
16
16
16
0
8
1
0
0
0
0
0
1
1
0
8
8
4
8
8
8
8
0
0
8
8
8
8
8
0
0
0
8
8
0
4
0
0
16
20
44
0
0
0
0
16
8
8
8
16
16
8
0
8
8
8
2
16
16
16
0
0
16
16
16
0
16
16
4
6
32
16
4
4
0
0
10
8
12
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
16
2
2
8
0
16
8
8
0
0
0
0
22
0
0
0
16
16
8
8
2
2
16
0
8
8
8
8
0
0
0
0
0
0
16
8
8
8
8
8
0
0
8
8
8
8
4
16
0
4
22
22
16
16
16
16
8
8
26
0
0
0
0
8
0
0
16
0
0
0
2
16
16
4
4
16
0
24
0
0
4
4
4
0
1
0
0
0
0
16
0
0
1
1
1
0
8
8
0
0
0
4
4
1
1
7
7
7
12
12
0
0
0
12
12
12
8
0
0
24
0
0
0
8
8
8
0
2
0
8
8
1
0
8
8
0
8
8
8
0
16
8
8
16
16
0
8
8
8
8
0
0
0
0
0
16
16
16
16
8
8
16
8
8
16
16
16
2
2
0
1
1
1
9
0
0
0
16
16
16
0
0
8
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
2
0
0
0
4
9
0
0
0
0
0
0
0
16
16
0
16
16
16
16
16
16
16
41
33
8
8
8
0
0
0
0
0
0
8
8
8
0
16
0
24
0
0
0
0
0
0
8
0
0
0
0
0
1
2
16
16
16
24
28
28
0
0
0
0
0
8
0
0
0
12
8
16
16
16
0
1
16
17
17
17
8
4
4
4
0
0
4
8
8
8
8
0
0
0
8
16
8
0
0
0
1
1
16
0
8
21
0
0
0
4
4
33
33
2
0
0
0
0
0
16
0
0
0
0
16
26
26
16
4
0
0
1
24
24
8
8
8
25
0
32
16
9
1
0
16
8
8
0
0
8
0
0
0
0
16
16
8
0
0
8
1
1
16
0
0
0
0
0
0
0
0
0
31
32
0
0
0
1
1
0
16
1
1
0
1
10
0
0
0
0
0
2
2
2
2
1
1
0
0
16
16
0
1
24
24
16
16
16
0
0
0
0
0
0
0
0
0
0
8
0
0
9
0
0
8
0
0
1
0
8
0
0
16
8
16
0
0
24
0
0
0
0
0
4
0
0
5
0
1
0
1
1
1
1
0
0
0
8
8
0
0
0
0
40
4
0
24
0
0
16
0
0
0
0
12
12
0
0
0
4
1
1
1
1
1
17
4
4
4
24
16
0
0
0
16
0
16
16
8
8
8
0
0
0
0
0
0
21
8
8
8
8
8
24
0
24
24
0
8
8
0
8
0
0
0
8
8
0
0
0
0
16
8
0
0
0
0
0
0
0
0
1
1
0
16
16
0
17
0
0
0
8
8
8
8
16
0
4
4
4
4
4
4
26
8
8
0
0
0
0
0
0
0
0
0
16
16
16
16
0
0
0
0
8
0
16
8
0
8
8
2
0
16
16
16
0
4
24
24
8
0
36
36
36
16
16
16
8
0
0
0
4
1
0
17
0
0
0
0
0
0
32
0
8
0
0
0
0
8
8
16
0
16
25
0
0
0
16
16
16
16
0
0
0
0
0
24
24
0
0
0
0
0
0
0
4
0
0
5
4
4
2
0
0
24
8
0
0
0
0
0
0
0
0
8
0
0
0
0
8
0
0
0
12
31
0
17
0
8
16
0
8
8
20
4
0
8
14
0
0
0
16
0
16
16
0
16
16
8
8
0
32
4
4
8
0
0
0
8
4
1
8
8
8
8
0
0
0
0
32
32
16
16
32
41
4
16
16
2
0
16
16
8
19
8
0
0
0
0
0
0
0
8
0
0
0
8
0
0
0
0
0
0
0
4
8
0
0
0
8
8
8
16
16
8
9
18
8
0
0
0
20
32
0
8
0
0
0
0
0
0
24
4
4
1
16
0
0
0
0
8
1
0
4
4
4
0
0
8
8
4
0
0
0
0
0
0
0
8
8
8
8
8
4
8
8
8
0
0
8
4
4
32
32
4
2
0
0
0
8
0
16
18
18
18
0
0
0
26
26
16
16
16
0
0
0
0
8
8
8
8
8
0
1
1
16
0
8
0
0
0
24
24
24
24
0
16
16
0
1
1
1
1
1
0
0
0
0
0
0
0
8
0
24
24
0
0
0
12
16
16
8
8
8
8
8
8
0
0
16
0
16
0
0
0
0
8
0
16
0
8
0
1
1
0
0
16
8
8
8
0
0
8
8
8
8
0
32
4
8
0
0
8
0
0
8
16
16
8
0
0
8
8
0
0
8
0
0
8
0
8
8
0
8
0
0
8
8
0
0
0
2
2
2
0
0
0
0
0
0
1
0
24
2
0
8
21
8
4
4
0
0
16
16
16
0
0
0
0
16
0
0
4
4
0
0
0
8
0
0
8
16
1
4
0
0
0
4
4
4
4
4
4
8
0
0
0
0
0
0
0
0
4
8
8
8
8
8
8
8
8
8
0
0
0
4
0
8
0
0
16
16
16
16
16
4
4
0
0
12
16
16
16
8
32
0
0
2
0
0
0
0
10
10
16
16
0
0
0
0
0
4
4
8
8
4
8
4
4
13
13
2
2
0
16
0
16
0
8
0
0
0
0
0
16
0
0
0
0
0
0
0
8
8
16
0
8
16
4
0
16
4
4
1
1
1
20
20
0
0
0
0
16
8
0
0
0
0
0
0
0
0
0
0
0
0
8
0
24
16
0
0
24
0
55
0
8
0
0
3
32
8
8
0
0
0
0
32
8
8
0
4
4
4
0
1
0
8
0
1
25
0
0
16
16
16
16
0
0
0
1
0
16
16
0
0
0
0
0
0
8
16
16
0
1
0
0
16
0
0
0
0
0
16
16
16
16
4
4
0
0
0
0
0
24
0
0
1
4
16
16
8
0
1
0
0
0
0
0
16
1
8
0
0
16
0
0
0
0
0
4
4
16
16
0
0
0
0
4
4
8
8
8
0
0
2
20
0
8
16
16
8
8
1
1
17
17
16
25
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
8
0
0
0
20
16
16
0
8
25
25
11
11
0
24
1
1
1
1
1
1
32
32
0
0
0
8
2
0
17
17
17
17
17
0
0
4
4
4
16
16
16
0
16
0
0
0
0
0
0
0
0
0
0
8
0
16
16
0
34
0
0
0
32
8
0
1
16
16
32
16
1
1
0
0
24
4
8
0
0
16
16
4
0
4
9
0
0
0
0
0
0
16
16
8
0
1
1
32
32
0
8
0
1
1
1
0
0
0
2
0
2
4
0
0
0
0
0
18
18
0
0
0
0
0
16
16
0
0
0
8
8
0
16
4
16
0
16
8
8
0
0
8
8
2
0
0
0
8
8
16
2
2
2
0
1
1
0
0
16
16
0
2
8
8
8
0
0
0
2
2
0
8
8
0
0
0
0
1
1
8
0
0
0
0
0
0
0
0
0
0
0
16
16
0
2
2
2
25
1
0
0
0
8
1
8
0
36
12
16
0
0
0
0
8
9
0
4
0
0
0
0
0
0
0
26
8
8
8
0
0
1
0
0
16
16
0
10
10
10
16
16
16
16
0
0
0
0
4
4
8
2
0
0
2
0
16
16
0
0
8
8
8
8
0
0
0
16
16
16
0
8
16
8
9
1
1
0
0
8
8
2
2
2
0
0
0
0
0
0
4
40
10
13
0
0
0
16
0
18
0
2
2
2
0
8
0
16
29
24
24
2
2
0
0
0
2
2
0
0
0
0
0
0
0
0
0
0
0
0
3
3
1
1
0
16
8
4
4
8
0
8
8
0
26
26
0
0
16
0
0
0
0
0
1
0
8
8
8
32
32
32
16
16
0
0
0
8
0
1
1
1
8
3
0
1
19
4
4
8
10
0
8
0
8
8
0
0
8
0
0
0
0
8
0
0
4
0
0
0
0
0
2
0
48
0
0
0
0
0
0
0
0
0
0
24
24
1
0
0
8
0
0
0
0
0
0
0
10
0
0
0
0
0
8
16
0
0
0
0
0
0
4
4
16
0
16
16
4
4
4
2
0
0
0
1
1
0
0
0
0
0
24
1
1
0
0
0
2
4
0
0
8
4
0
0
8
8
16
0
0
0
0
8
0
0
16
16
8
8
0
0
0
0
8
8
8
8
8
0
0
0
0
0
16
16
8
8
8
0
16
16
16
16
0
8
8
8
0
9
0
0
0
16
16
0
0
0
8
0
0
0
0
8
16
0
0
0
0
8
16
16
0
0
4
0
0
16
16
16
8
16
0
4
0
8
36
36
36
0
17
17
0
0
1
0
0
12
0
0
0
8
8
0
0
0
1
0
0
0
0
16
22
16
0
8
8
8
22
22
22
0
0
0
0
0
0
8
8
8
8
2
2
2
16
0
4
0
0
8
16
8
24
16
0
0
0
16
0
17
1
8
8
8
8
0
0
8
8
8
16
0
17
25
25
25
16
0
0
0
0
8
8
8
16
6
8
8
12
12
12
12
8
4
4
4
0
16
0
16
16
16
0
0
0
8
8
8
0
0
0
8
1
4
4
16
0
20
20
4
4
4
4
8
12
10
20
8
8
8
16
0
0
0
12
12
8
8
8
0
0
0
8
0
0
0
16
2
0
8
0
0
0
0
16
16
0
8
8
0
0
0
16
0
0
0
2
0
0
0
0
0
8
16
5
5
5
16
0
0
8
12
16
16
16
0
0
4
4
4
32
0
0
0
0
4
0
18
18
0
0
8
10
10
0
0
29
29
8
8
8
0
16
16
8
10
0
8
0
16
4
4
16
0
12
0
0
2
0
8
8
8
0
0
8
2
0
0
4
0
0
0
0
0
2
2
8
16
16
4
8
4
20
20
0
0
0
0
4
0
0
0
0
8
0
0
0
20
2
2
2
2
2
2
16
16
0
16
16
9
0
0
0
4
0
0
0
0
0
0
24
0
16
16
0
0
24
24
8
4
16
16
16
16
16
16
8
0
8
0
4
4
4
16
24
24
24
0
0
8
1
0
0
8
1
4
0
0
28
28
4
4
0
0
0
8
8
0
0
16
16
0
0
8
0
0
0
0
0
0
0
16
16
0
0
0
0
4
0
0
0
0
16
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
0
1
16
8
8
0
0
16
16
0
0
16
16
16
2
0
0
0
16
0
0
0
0
0
4
4
4
4
4
16
16
4
1
1
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
0
0
8
1
0
0
16
0
0
0
0
24
24
24
16
16
20
2
0
0
0
0
0
0
1
8
8
8
8
1
1
4
4
8
0
0
16
8
1
4
4
4
4
32
32
0
40
0
0
0
0
0
0
32
1
1
29
16
16
24
24
4
0
0
4
4
0
0
0
0
0
16
0
8
8
0
0
8
8
0
0
0
0
0
0
0
0
0
8
4
8
24
0
0
1
0
0
8
0
0
8
8
8
0
16
8
8
8
0
0
0
0
8
8
0
1
0
8
8
16
16
16
0
8
16
16
16
0
16
16
12
12
8
8
0
0
1
0
0
1
1
0
0
0
8
16
0
8
8
8
0
0
0
0
0
2
0
0
8
16
16
16
0
0
0
1
1
16
16
16
0
8
8
0
0
0
0
0
0
26
26
8
12
12
2
0
4
4
4
0
0
2
1
16
0
0
0
0
2
0
0
20
16
2
0
0
8
1
8
8
8
8
8
16
8
8
0
8
9
16
16
32
32
2
0
16
24
0
0
0
0
8
0
0
16
16
2
16
16
8
0
8
8
8
16
16
0
0
0
1
8
8
8
8
8
6
0
0
0
16
16
8
8
0
0
0
0
0
0
0
0
0
2
8
16
0
1
0
0
0
0
8
0
0
0
0
0
32
8
8
0
0
0
4
0
0
0
0
0
0
0
8
8
8
12
12
12
12
8
0
17
17
18
8
0
0
16
8
8
0
0
8
0
0
0
0
16
8
0
8
0
0
0
0
0
8
8
2
16
0
4
0
0
0
0
0
0
16
16
16
0
1
1
16
16
2
2
0
16
0
8
0
0
0
0
0
8
0
0
7
7
7
16
16
0
0
8
8
11
3
8
4
4
4
0
0
8
0
0
0
1
0
0
6
16
1
0
24
24
0
0
0
0
0
0
0
0
8
0
0
0
0
25
4
0
0
12
32
32
32
16
16
0
0
0
8
8
16
0
4
0
1
1
16
16
16
16
16
16
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
0
24
16
16
16
8
16
0
0
0
0
8
0
16
16
0
0
0
21
0
8
0
8
2
2
0
0
0
0
0
0
0
8
8
38
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
8
8
4
8
8
8
8
8
1
16
0
0
16
0
0
6
0
0
16
16
16
0
0
0
8
8
0
0
0
0
0
32
32
1
0
8
0
0
0
0
0
16
8
48
16
48
0
16
16
0
0
4
1
1
1
0
0
0
0
0
0
0
16
8
16
0
0
16
16
16
16
4
4
0
24
8
0
0
0
0
0
0
24
0
0
4
2
8
33
2
2
0
16
4
0
0
0
24
8
8
20
0
8
8
8
16
16
16
8
8
17
0
2
2
0
8
8
8
0
0
0
8
0
32
32
32
16
4
4
16
32
32
32
32
8
16
0
32
32
0
0
16
16
0
0
1
0
0
9
24
24
24
0
16
16
8
0
0
0
0
0
8
8
8
0
0
0
0
2
0
8
0
19
8
8
1
0
0
0
16
0
0
1
0
1
1
1
0
0
8
0
0
0
8
0
24
4
4
8
0
0
8
8
8
0
0
0
0
8
24
0
16
1
0
16
8
1
1
0
0
0
0
0
0
16
16
8
8
0
0
0
0
0
0
0
16
0
2
0
8
8
0
0
0
16
0
0
16
16
16
16
16
16
16
4
4
4
4
16
0
1
1
0
0
0
9
0
0
0
0
8
0
16
16
0
0
0
0
0
4
0
0
0
0
16
3
2
16
8
0
4
0
8
8
0
0
0
0
8
16
8
16
53
0
0
0
4
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
16
0
8
0
0
0
0
39
39
0
0
0
0
24
8
2
4
16
4
4
4
0
0
0
8
0
0
0
0
20
20
16
0
4
8
0
0
16
0
0
0
0
0
16
0
0
0
8
8
8
0
16
16
8
0
0
0
1
0
32
16
16
8
32
32
8
0
24
0
0
8
0
0
8
8
0
4
16
8
0
16
24
8
0
20
20
16
32
8
8
0
8
8
8
8
4
4
4
4
4
0
16
0
0
45
45
45
45
45
16
16
16
16
4
4
0
8
0
0
0
0
8
17
16
4
0
0
4
0
0
18
2
2
0
0
0
0
16
16
0
0
0
0
1
16
16
16
16
16
0
1
0
16
8
8
8
0
0
0
8
8
0
0
0
0
0
16
0
0
4
4
4
0
0
0
0
8
8
0
0
0
16
8
8
8
8
8
8
0
2
2
0
0
24
0
8
24
16
16
0
8
0
0
6
6
0
0
8
16
16
16
16
4
12
12
2
8
8
8
8
1
1
0
16
0
0
16
0
16
8
16
0
0
0
0
0
0
8
0
0
2
0
0
0
8
8
8
0
0
0
0
0
8
8
1
0
0
0
0
16
16
16
0
0
32
8
8
0
0
8
0
0
16
0
0
0
0
8
0
16
0
0
42
42
18
18
32
32
32
0
0
0
0
0
0
0
4
4
8
4
0
0
0
0
0
2
2
0
0
0
0
0
0
0
0
8
8
8
0
24
0
0
16
8
0
0
3
11
0
0
22
0
0
0
8
20
8
16
16
2
29
16
8
0
0
1
1
8
8
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
1
8
16
0
0
0
0
0
0
8
0
12
0
0
16
1
1
1
17
1
1
4
8
4
16
8
0
0
24
0
0
0
24
16
9
16
0
18
4
0
0
0
0
0
0
0
0
0
4
0
2
16
4
4
24
1
0
0
0
4
0
9
0
8
4
4
4
24
0
36
0
8
0
16
0
0
16
16
16
20
20
20
0
0
0
0
0
8
8
10
0
0
0
16
16
16
16
16
0
0
0
0
62
0
0
2
0
0
16
8
8
0
0
16
0
8
8
16
16
0
8
16
24
1
1
0
0
4
0
0
0
30
30
8
8
0
16
16
16
16
40
8
4
0
13
8
8
16
0
0
16
8
0
0
1
0
0
0
0
0
0
0
0
1
0
0
24
24
0
0
24
24
16
1
0
8
0
0
8
0
16
0
0
0
8
16
16
0
0
0
0
8
0
32
0
0
0
0
0
0
0
0
0
0
16
16
0
24
16
8
8
0
0
20
20
4
4
16
16
16
32
32
0
0
0
0
0
0
16
16
1
0
0
0
8
0
0
12
0
8
0
8
1
1
18
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
0
0
0
0
0
0
0
16
16
0
0
16
8
4
8
0
0
0
0
0
0
8
12
8
4
20
0
12
1
8
0
0
0
21
21
0
0
0
4
0
0
0
0
0
8
16
16
16
2
2
56
0
0
0
0
0
0
0
0
16
1
0
1
8
8
4
0
0
0
8
16
48
16
16
0
8
0
4
0
0
0
0
16
0
0
0
0
0
0
0
0
16
0
0
16
16
17
0
9
0
0
0
16
16
0
16
16
0
0
0
16
4
0
0
4
4
4
0
0
16
1
0
0
0
0
4
8
0
0
0
0
0
7
1
0
0
2
2
4
4
0
3
0
16
0
0
0
0
44
62
0
0
8
8
8
8
0
2
2
2
2
16
0
0
0
0
0
8
8
8
59
8
0
8
8
1
2
2
0
0
0
0
0
0
0
2
16
0
2
8
24
24
24
8
8
8
8
8
8
4
4
0
0
0
16
16
4
4
4
0
16
2
0
0
8
4
0
4
20
16
16
16
0
0
8
8
8
16
16
0
0
0
0
16
8
0
0
9
0
11
0
4
0
0
1
0
0
0
8
0
2
1
8
16
16
8
0
8
8
16
16
32
1
0
0
16
16
0
0
0
0
0
8
8
16
16
16
16
0
0
8
8
8
0
0
0
0
0
0
1
1
16
8
4
24
0
0
0
0
0
0
0
0
0
0
4
0
0
16
16
16
0
4
2
2
0
20
16
16
2
18
8
4
0
0
0
8
8
2
16
16
0
1
4
4
0
8
0
0
0
0
0
8
0
4
8
0
0
24
0
0
8
8
2
42
0
8
16
2
32
32
8
0
0
49
0
2
0
17
0
0
0
0
0
1
0
0
0
4
16
0
0
4
4
4
8
8
16
16
16
1
8
0
0
0
0
0
0
1
1
0
32
32
0
4
24
0
33
8
4
5
8
0
0
0
0
34
34
0
0
4
8
32
32
8
4
4
4
48
0
0
8
2
39
4
2
0
8
0
1
16
0
1
1
0
0
51
0
0
8
16
16
16
8
0
10
0
16
8
8
0
8
19
0
16
16
24
24
8
8
8
8
0
0
0
0
0
0
0
4
24
16
8
8
8
24
8
8
8
8
8
8
8
8
0
16
20
0
0
0
0
0
0
8
8
1
8
0
32
8
8
8
0
0
4
0
8
8
8
8
0
16
0
0
0
8
0
0
8
0
0
0
8
8
8
8
8
0
8
0
0
0
0
8
12
0
0
0
4
0
8
32
2
0
0
0
0
0
8
0
32
32
0
1
8
0
16
16
16
16
8
8
20
0
16
16
16
0
0
16
16
0
0
0
40
40
8
9
0
0
0
16
16
16
16
16
0
28
0
0
0
0
16
16
0
2
2
0
16
8
0
0
0
0
0
0
8
8
8
8
8
8
36
36
0
4
4
0
0
16
8
0
0
0
0
8
9
9
0
0
0
0
0
8
0
1
16
0
8
8
8
8
0
8
16
4
10
10
8
16
0
0
0
16
16
16
0
0
0
15
15
15
15
15
16
16
16
8
16
0
0
0
0
0
0
0
0
16
0
8
8
0
0
0
8
8
8
8
17
17
2
8
0
26
16
16
22
4
4
0
8
8
0
8
1
1
0
0
0
0
0
16
8
17
17
17
17
17
0
8
8
8
0
0
0
0
0
0
8
8
8
16
16
16
0
0
0
10
8
16
0
0
2
0
0
24
2
18
0
0
8
8
8
0
0
0
0
4
0
0
1
1
8
1
0
0
1
1
16
16
8
1
8
0
8
48
16
0
16
16
0
1
16
0
1
0
0
16
0
0
0
0
0
0
24
0
8
16
16
0
0
0
0
0
0
4
0
2
2
2
0
0
24
0
0
0
0
0
0
16
8
8
8
0
16
0
0
2
0
0
0
8
8
8
8
0
8
8
0
8
0
1
0
1
0
8
0
16
16
32
32
0
0
4
4
0
0
12
0
0
1
0
0
0
8
8
8
0
1
1
0
0
0
0
16
0
0
32
32
0
2
2
0
8
24
34
34
16
8
16
16
16
16
16
16
16
0
21
34
34
34
32
4
16
8
12
12
9
16
0
4
4
4
4
4
4
9
9
0
0
8
0
24
24
0
0
0
0
0
0
25
0
24
8
0
8
16
16
16
0
0
19
2
16
32
32
0
16
0
0
0
0
0
0
0
0
0
0
4
4
8
1
1
8
8
8
8
8
8
8
0
0
8
0
1
0
0
0
8
8
8
1
17
0
24
14
0
0
0
8
4
4
4
8
4
16
0
8
8
0
0
0
0
16
16
0
17
2
12
12
8
16
2
16
0
1
8
6
6
16
0
0
0
0
4
33
16
16
16
0
0
0
0
16
53
53
0
0
4
1
8
0
0
2
2
16
3
3
3
3
8
16
0
0
0
0
28
18
0
0
8
8
8
16
0
0
0
0
0
0
1
16
16
0
0
16
16
16
16
8
17
0
0
0
8
0
0
17
0
0
0
0
0
32
24
0
0
0
0
0
1
1
16
16
8
8
0
32
8
16
0
0
8
0
0
0
2
2
8
0
1
1
1
8
8
0
0
0
16
0
0
0
18
18
0
8
8
0
0
16
0
8
8
8
8
8
8
2
4
16
0
0
18
0
0
0
0
0
8
0
0
0
0
24
0
0
1
1
8
0
0
16
0
8
8
8
8
9
0
0
0
0
16
1
0
2
16
0
2
0
0
8
0
0
48
8
8
0
2
18
0
0
0
0
0
0
8
0
8
8
16
0
0
0
0
4
32
8
0
0
0
0
0
0
0
0
0
0
40
40
16
4
1
1
0
8
8
0
0
0
0
0
0
24
24
24
0
0
0
24
0
0
8
4
4
4
4
4
1
1
1
0
8
8
8
8
8
16
0
0
4
0
8
8
8
16
16
8
32
9
0
16
16
16
16
2
2
2
32
0
0
8
8
0
16
0
32
8
16
0
16
16
8
8
16
28
28
16
0
0
0
25
25
2
0
8
16
0
0
0
8
8
8
8
4
24
24
1
9
8
8
16
8
8
0
48
16
0
8
8
8
0
0
8
8
8
38
0
4
0
1
8
4
4
20
0
16
0
0
0
8
8
8
0
0
0
0
0
1
4
8
0
0
0
8
32
0
0
9
0
0
4
16
0
16
1
1
1
1
0
1
1
1
8
8
8
4
0
8
34
16
16
16
16
16
8
8
0
16
0
0
17
4
4
0
0
0
0
0
0
0
8
8
20
0
16
16
0
0
0
0
0
0
8
8
0
10
2
8
16
16
0
0
0
0
0
8
17
2
2
2
16
0
2
32
32
0
4
4
4
0
0
2
0
8
0
0
8
0
0
8
8
16
0
0
2
0
8
16
2
4
4
8
8
0
8
0
0
0
0
0
0
0
9
9
0
2
2
2
8
8
16
16
16
0
0
0
0
8
0
16
8
0
20
20
8
0
0
1
1
0
0
8
0
0
0
8
4
0
16
0
0
0
24
4
0
0
0
0
0
2
8
0
16
16
24
8
0
0
0
0
8
8
8
16
0
0
3
0
12
8
8
0
0
0
0
0
8
8
8
4
0
0
0
8
16
0
0
1
2
16
16
8
8
22
0
0
0
8
8
4
16
0
0
8
8
16
16
8
0
0
0
0
8
16
16
16
16
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
8
0
4
8
8
0
0
8
8
0
8
8
8
0
4
4
4
0
0
12
0
2
0
0
8
16
16
4
2
8
16
0
16
16
0
0
16
16
16
0
0
0
1
1
0
0
0
24
8
8
0
1
8
8
0
0
0
0
16
48
48
16
0
0
0
8
16
8
8
4
16
0
0
0
0
0
0
4
16
4
0
1
2
2
0
0
0
0
0
0
4
0
0
8
0
0
0
0
0
32
0
0
0
8
8
8
8
0
8
0
0
0
0
0
8
0
0
2
8
0
0
0
0
16
16
0
0
8
8
8
8
16
8
8
8
8
8
8
16
0
0
0
0
20
20
20
20
20
0
0
16
0
0
0
0
0
0
0
26
2
2
2
22
22
0
0
0
0
0
41
2
2
0
0
24
0
1
8
0
48
0
0
0
4
1
24
0
4
0
0
0
0
8
0
0
16
0
0
8
8
8
8
0
0
0
0
4
16
16
0
0
0
0
0
0
0
32
8
48
0
24
0
0
0
0
0
0
0
0
0
0
0
40
0
0
0
0
0
0
0
0
0
8
28
0
0
4
0
0
0
0
0
16
16
0
4
4
0
8
8
2
0
4
4
32
16
16
0
24
24
0
0
3
3
3
0
0
16
0
8
8
8
0
0
0
0
0
0
0
21
1
0
0
0
0
0
1
8
8
8
8
0
0
0
0
0
0
0
0
0
16
8
16
8
0
0
0
0
24
24
24
8
0
1
1
32
32
32
0
0
8
8
0
0
32
32
32
0
8
0
0
8
4
4
8
0
0
16
16
16
0
0
32
16
0
0
0
0
0
0
0
0
0
0
8
16
16
16
0
0
0
16
0
0
24
0
0
0
0
4
4
4
32
0
48
48
48
48
16
24
0
1
20
4
16
4
8
4
4
4
0
8
0
0
0
0
0
0
0
0
0
16
16
2
8
0
0
16
4
0
0
0
0
16
8
8
8
0
8
0
0
0
0
16
16
8
8
8
0
1
0
0
3
0
0
8
0
8
8
2
0
0
0
8
8
0
8
0
0
0
0
0
0
16
16
16
16
0
32
32
32
8
16
0
2
8
16
1
1
1
0
0
2
0
0
1
12
0
0
0
40
40
32
8
8
8
8
0
40
8
8
8
0
0
8
0
0
0
0
16
0
16
2
2
2
12
0
0
24
0
16
8
8
8
8
1
20
0
0
0
0
0
0
0
0
0
0
0
8
4
32
0
0
0
0
0
0
0
1
1
1
16
0
0
0
0
0
17
2
0
0
1
0
0
8
16
0
16
16
16
4
4
4
0
1
1
32
32
4
0
0
10
2
0
0
0
0
0
1
0
0
8
8
0
0
16
16
16
8
8
8
0
0
0
1
1
1
28
16
16
2
1
9
8
8
8
8
4
0
8
8
8
29
16
0
0
0
0
0
0
8
8
0
0
0
0
8
8
0
6
2
4
0
4
4
4
4
0
4
17
16
2
0
0
0
0
0
0
29
13
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
18
0
2
0
0
16
0
0
0
0
0
8
8
8
8
12
8
12
12
1
1
0
0
0
16
0
8
40
8
13
0
4
0
16
16
16
8
4
16
16
0
0
0
16
16
16
0
0
0
0
20
20
0
0
0
0
24
16
0
8
0
0
16
16
8
8
0
0
0
0
0
0
0
16
6
0
0
1
0
0
4
4
0
0
0
16
0
12
8
4
4
0
0
16
0
8
0
4
0
0
0
8
16
16
9
1
16
0
0
4
4
0
0
0
0
0
0
0
16
16
0
8
8
0
0
2
2
0
0
2
0
4
36
36
0
8
8
4
4
0
8
12
32
8
24
0
0
0
0
0
0
8
0
0
0
16
8
8
0
0
8
8
8
8
0
8
32
2
2
4
0
0
8
8
8
8
8
8
8
0
0
4
2
0
0
0
0
0
0
0
0
4
0
0
16
0
0
21
0
1
1
1
1
1
0
8
8
0
0
0
16
16
0
0
16
24
0
0
0
14
14
14
12
8
17
0
0
0
0
0
4
0
0
4
4
4
0
0
0
0
8
8
0
0
1
1
16
0
0
0
16
0
0
0
0
8
0
0
0
24
1
0
0
0
0
0
0
8
0
0
4
0
0
12
0
0
0
0
0
0
8
0
0
0
0
16
0
0
8
32
18
16
4
0
8
0
8
24
32
32
32
1
16
16
4
4
4
8
16
16
16
0
0
0
8
8
30
0
0
0
0
0
0
8
8
2
8
8
0
0
0
40
16
16
16
8
0
36
0
0
16
25
0
0
16
16
0
0
0
0
4
0
8
0
0
0
4
0
0
0
8
8
0
0
2
0
0
0
16
16
0
0
0
0
2
8
0
0
24
16
0
1
0
0
0
4
16
16
0
0
4
31
0
4
0
0
0
0
6
0
0
0
0
0
0
0
0
44
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
16
8
8
8
0
0
0
2
8
0
0
16
16
16
8
8
8
0
0
20
20
2
16
16
8
8
0
0
8
16
16
16
16
16
16
16
8
8
16
8
8
0
0
0
16
0
0
0
8
24
24
24
8
16
16
0
0
0
0
16
20
0
0
8
0
0
0
17
24
16
0
0
0
0
0
8
40
16
8
8
8
8
8
0
0
0
4
0
8
8
8
8
8
8
8
0
4
0
0
0
0
8
8
0
0
8
0
0
8
0
0
8
8
46
46
46
46
0
0
8
40
56
10
8
16
16
16
0
0
2
16
16
0
0
8
16
8
0
24
4
4
0
0
8
8
8
0
0
16
0
32
0
4
0
0
0
0
0
0
0
0
18
16
0
0
20
0
2
2
2
1
8
8
16
16
16
1
16
0
0
8
8
1
24
16
8
1
8
1
8
0
0
0
0
8
4
4
0
24
0
8
16
0
24
0
0
0
0
0
16
16
0
0
16
4
4
0
0
0
0
0
2
2
0
16
4
0
2
16
16
0
0
1
1
1
0
0
0
16
16
0
4
8
8
8
40
40
0
16
0
0
0
20
16
0
16
0
0
17
0
8
8
0
0
0
16
0
2
0
0
0
16
16
0
8
8
16
16
0
0
0
8
0
0
0
4
16
0
1
0
0
8
0
0
8
0
8
8
8
16
32
32
0
1
0
0
16
16
0
8
8
0
0
0
16
2
8
0
0
4
4
0
0
2
0
0
8
16
0
17
0
1
1
0
0
0
0
0
0
0
0
0
8
8
8
0
0
49
49
49
0
0
0
17
17
0
16
0
0
20
16
16
0
16
21
24
16
8
8
8
0
0
0
0
0
16
32
32
1
1
4
5
0
4
16
2
0
8
8
0
4
0
0
0
0
8
8
8
0
0
0
0
0
0
8
32
0
8
0
0
0
0
0
0
1
3
16
16
20
4
0
0
16
8
8
8
0
8
0
0
8
16
16
16
0
1
1
1
8
0
8
1
4
4
24
4
26
2
0
0
0
0
0
0
0
0
0
1
1
1
24
24
24
8
0
8
16
16
16
16
16
16
0
0
0
0
6
8
0
0
0
0
0
0
0
48
10
10
0
4
0
0
0
8
8
0
0
0
0
4
4
4
4
0
0
0
16
16
16
0
0
8
0
0
0
16
16
1
0
0
0
2
8
6
6
24
0
0
16
16
0
0
8
0
0
30
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
0
0
16
0
16
0
8
8
0
0
0
8
8
8
8
16
8
8
0
40
0
0
16
0
0
13
17
0
0
4
0
0
0
1
1
0
52
32
8
26
8
8
8
8
2
4
4
16
0
0
0
8
8
0
1
0
8
8
0
0
0
44
44
44
8
12
12
1
8
0
0
0
20
0
8
16
25
17
17
8
8
8
8
8
8
8
0
0
0
8
0
0
0
18
18
18
0
2
0
0
0
16
0
0
0
0
8
0
8
24
24
24
24
24
24
0
8
16
16
0
16
16
2
0
0
4
4
4
25
25
8
8
8
8
16
16
16
16
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
16
16
0
8
0
0
8
4
4
0
16
0
14
14
8
0
0
0
8
8
8
0
16
0
0
0
0
12
12
12
0
16
16
16
8
0
0
0
0
20
0
0
0
0
0
0
0
0
0
2
8
8
8
8
8
22
2
0
0
0
0
12
16
8
8
8
0
2
0
16
0
0
16
16
0
16
16
16
8
0
32
32
0
8
16
16
16
16
0
0
16
16
16
8
8
2
0
0
4
0
0
4
0
0
11
0
0
8
8
0
4
4
16
16
16
0
0
2
8
0
0
0
0
18
1
1
4
0
19
24
24
0
0
9
8
0
0
0
26
0
8
8
8
8
0
0
5
4
4
16
16
0
8
2
30
32
32
8
4
16
0
0
16
16
1
0
16
16
0
8
0
0
0
0
18
18
0
0
4
4
0
0
32
2
1
8
8
0
20
28
2
2
2
24
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
16
16
0
4
0
16
8
8
2
0
8
8
0
0
8
0
32
0
8
8
8
1
0
24
24
16
8
8
8
8
8
8
8
8
0
1
1
0
0
4
0
16
0
0
16
16
4
0
24
4
0
40
0
0
0
32
32
0
2
1
1
1
0
0
0
1
1
0
2
20
20
20
20
8
1
0
0
0
8
8
8
8
0
0
0
0
8
8
0
0
4
4
4
8
18
16
0
0
16
16
9
1
0
2
0
4
4
8
8
8
8
24
1
1
16
4
4
4
4
8
0
1
1
0
0
16
0
1
1
0
0
0
0
1
0
0
0
0
16
0
0
0
51
8
4
0
16
48
0
0
0
0
0
0
0
0
16
0
0
0
0
8
2
8
8
8
4
16
16
16
2
0
16
0
0
2
2
2
2
0
0
8
0
0
0
0
0
0
0
0
0
0
8
8
0
16
16
0
2
2
0
0
0
0
0
4
0
0
8
0
0
0
0
0
0
0
0
0
0
16
16
16
0
16
16
16
0
0
4
0
4
4
16
32
0
0
0
16
0
8
0
0
8
0
0
0
8
0
0
0
0
16
4
8
8
1
1
0
0
0
4
4
16
16
4
32
0
16
0
4
0
0
0
0
0
0
16
0
2
0
0
4
0
0
16
9
18
0
0
0
0
4
0
0
32
32
32
32
32
17
8
32
32
0
0
0
0
8
8
0
1
0
8
8
8
0
0
0
0
16
16
16
16
8
1
1
1
1
1
1
4
4
4
8
25
8
1
0
0
4
4
1
1
1
1
1
0
0
8
32
32
0
0
0
1
1
16
1
0
0
0
16
6
0
16
16
0
16
0
0
0
0
0
20
20
20
0
8
8
8
4
6
16
4
0
8
0
0
0
0
0
16
8
8
8
16
8
8
8
8
16
0
4
0
2
16
24
0
0
0
4
0
1
0
16
16
16
4
0
1
8
0
0
0
8
0
0
0
20
0
2
2
0
1
8
8
8
4
0
0
0
4
8
0
0
8
0
8
8
8
0
0
0
0
20
0
32
8
3
42
16
16
8
0
0
0
2
28
8
0
0
12
7
8
0
0
2
0
3
3
0
0
0
2
0
0
0
0
8
8
0
0
28
28
16
16
0
0
0
0
0
17
0
2
10
0
16
16
16
16
0
0
0
8
8
8
0
16
0
16
16
8
4
1
8
8
0
8
1
1
1
0
24
0
0
0
0
0
1
1
16
0
0
0
0
0
8
8
0
0
48
48
48
8
0
19
0
0
0
0
0
4
4
8
0
8
8
0
0
0
16
16
8
8
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
12
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
2
2
16
24
0
0
0
0
0
4
1
1
1
4
16
0
0
0
0
16
8
0
24
24
4
0
0
0
4
16
0
0
0
8
40
8
1
1
4
0
0
0
0
0
8
16
0
16
16
16
16
4
4
16
16
0
8
8
8
1
0
8
0
12
8
0
4
0
4
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
8
8
0
8
0
0
0
0
6
9
0
0
0
0
16
8
8
0
4
4
0
4
0
0
8
0
0
2
0
0
0
0
5
0
1
0
0
0
0
8
8
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
16
0
0
0
8
4
4
0
0
4
8
1
1
0
17
0
16
0
0
1
9
0
0
0
0
0
0
16
16
2
8
0
0
16
0
4
4
8
8
0
4
4
16
16
32
0
4
0
1
1
0
0
16
16
16
16
0
19
4
0
0
8
0
0
26
0
2
2
8
8
16
2
8
0
0
0
16
0
17
0
0
8
0
0
0
0
0
0
0
0
1
56
2
0
0
0
0
0
16
16
4
2
8
8
8
0
0
0
0
0
0
0
1
8
0
0
2
16
20
0
0
4
0
0
0
8
8
0
0
3
0
24
16
0
0
0
0
18
18
4
0
0
0
0
8
8
0
0
0
0
8
20
20
20
6
4
16
0
2
0
0
0
0
0
8
4
0
0
0
0
0
8
8
0
8
8
8
8
8
2
4
4
4
0
0
0
0
0
0
4
8
0
24
24
24
24
24
24
24
0
8
8
0
0
0
8
0
0
0
0
0
4
24
0
0
0
0
0
16
8
8
4
0
21
0
0
0
0
0
0
0
8
0
16
1
0
0
0
0
8
8
0
2
16
16
16
16
16
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
1
8
8
0
0
24
2
0
0
16
0
0
0
8
8
8
0
0
0
1
0
0
0
0
0
24
16
9
0
8
0
0
0
0
0
0
20
0
0
0
0
0
0
0
0
0
0
0
8
8
16
1
0
8
8
0
8
0
0
0
8
0
0
0
0
0
32
32
0
16
16
0
1
4
0
0
0
0
0
0
0
8
0
0
16
0
0
8
0
33
33
8
8
0
8
0
0
0
0
0
0
0
0
24
0
8
0
0
0
0
0
0
4
36
0
0
8
0
0
0
0
0
0
0
0
0
16
0
0
16
0
1
0
0
0
0
2
2
2
0
0
0
0
0
0
16
1
8
48
0
0
0
8
2
2
0
16
0
0
0
9
0
0
8
0
2
20
0
0
0
16
0
0
16
8
2
1
0
0
8
8
0
0
48
0
0
4
8
0
0
1
0
0
0
0
0
8
0
8
2
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
8
8
16
0
0
0
0
0
0
8
17
8
0
25
40
0
8
8
8
8
32
0
0
0
0
4
8
0
0
0
0
0
0
0
0
8
2
8
8
4
32
32
0
0
8
8
4
8
8
0
0
0
0
0
0
16
0
0
0
0
0
0
8
0
1
0
16
2
16
2
4
0
0
0
0
0
0
0
0
0
0
0
1
1
26
0
0
8
8
0
56
0
0
0
0
8
0
0
0
0
4
0
16
0
8
8
0
8
0
0
0
0
16
24
0
0
0
0
0
0
0
0
0
0
0
0
0
24
0
0
0
0
0
16
0
0
0
0
1
0
0
2
0
0
0
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
5
5
18
16
0
0
0
24
1
4
0
0
0
0
0
16
2
2
0
0
8
0
0
24
24
24
24
24
28
0
0
0
8
8
0
10
10
1
0
0
0
0
0
0
8
8
8
0
8
0
0
0
0
0
8
0
8
8
8
8
16
4
0
0
16
16
0
8
8
4
0
0
0
32
0
2
8
8
0
0
0
0
0
0
0
0
6
0
8
8
1
0
0
0
0
32
32
32
2
0
0
0
2
0
4
0
0
0
0
0
8
16
16
0
0
0
0
0
8
0
8
8
0
8
8
0
0
4
8
8
0
21
8
0
0
8
0
0
0
8
8
1
8
2
8
8
8
8
8
8
8
8
0
0
0
0
0
0
0
0
8
8
0
0
8
8
8
8
0
4
0
0
0
0
12
0
0
0
8
0
0
0
0
0
16
8
8
2
0
8
0
4
4
0
2
0
8
20
0
0
16
16
6
8
8
16
16
16
0
0
0
0
2
5
0
0
0
1
0
16
0
0
0
0
16
0
0
8
0
0
16
24
6
16
0
0
0
0
0
0
0
0
0
0
40
0
8
0
5
13
0
0
0
19
0
0
0
8
0
8
8
8
0
24
24
8
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
9
2
0
8
0
0
8
16
16
0
4
0
0
0
8
0
0
0
0
0
8
0
8
0
0
20
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
24
0
0
24
8
0
16
16
0
0
0
0
8
8
0
0
0
0
8
8
34
34
0
8
8
0
17
17
0
0
8
0
0
0
0
0
0
0
1
0
0
20
20
8
8
8
0
0
0
0
0
8
2
2
8
0
4
0
0
0
0
16
4
4
16
16
4
0
2
0
0
0
0
0
0
8
16
8
0
0
0
1
0
0
0
0
8
8
0
0
2
0
0
0
0
0
0
0
0
0
0
4
0
4
4
4
0
2
0
8
0
0
1
32
0
0
0
0
0
0
8
8
17
17
0
0
25
1
8
0
0
4
0
0
0
16
0
0
0
2
6
6
0
8
8
0
0
8
0
2
0
16
22
0
0
0
0
0
10
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
1
0
0
2
2
8
8
8
0
2
8
8
8
0
2
2
2
2
2
0
0
0
0
0
0
0
1
16
16
16
8
1
8
16
0
0
0
6
2
2
16
0
0
16
24
24
24
0
0
0
0
2
8
0
8
8
8
2
8
8
8
8
0
0
0
0
0
0
0
16
0
0
0
8
0
0
0
0
8
0
4
4
4
0
16
16
0
0
4
16
0
18
0
0
16
0
0
0
0
0
34
8
0
8
8
0
0
0
4
0
8
8
8
24
16
12
8
0
0
0
8
8
0
0
0
8
0
0
0
0
4
16
16
16
0
7
0
0
0
0
12
12
12
12
0
6
0
8
0
0
8
0
0
4
8
8
0
0
0
0
0
8
8
8
16
0
0
0
24
0
0
0
0
8
8
0
0
0
0
16
0
0
8
5
0
16
16
8
8
16
16
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
3
3
3
0
0
8
0
8
0
4
4
16
8
0
0
0
0
0
0
51
8
8
8
16
0
0
4
4
4
4
0
0
0
0
0
0
8
0
1
0
0
8
8
8
0
0
16
0
8
8
16
16
0
0
0
0
0
0
16
8
8
8
8
17
16
2
1
0
16
16
0
0
22
0
0
0
4
16
16
16
8
32
0
8
8
0
16
16
0
0
16
0
0
0
9
9
0
0
16
8
2
2
0
0
0
4
4
0
1
16
0
0
0
0
5
16
4
4
0
0
8
24
0
0
8
0
0
8
8
8
8
4
0
0
0
0
1
0
8
0
0
8
2
8
4
0
0
0
0
0
8
0
2
0
4
0
0
0
16
9
8
8
4
0
16
0
0
0
0
0
0
16
2
2
0
8
16
0
16
0
0
0
0
0
8
6
2
8
0
0
0
0
8
8
8
8
0
0
8
0
0
0
8
0
0
0
16
8
8
0
0
0
8
8
8
0
8
8
0
0
30
0
0
0
0
8
8
8
8
0
0
0
0
20
20
12
4
4
1
1
0
0
8
0
8
0
0
0
0
33
33
33
24
18
0
8
8
8
16
5
5
5
0
0
0
0
0
4
10
0
0
16
0
0
0
0
8
0
0
0
0
8
0
0
0
0
0
8
0
0
4
0
0
0
0
6
20
20
0
0
0
0
16
8
8
0
0
0
0
0
4
24
24
0
4
4
0
16
0
5
0
0
0
0
16
0
0
16
22
40
0
0
4
4
8
0
0
0
0
0
4
8
16
0
0
0
2
0
0
0
0
8
8
8
0
0
0
0
8
4
24
2
2
2
0
4
24
24
24
0
0
0
4
1
1
0
6
2
8
8
8
8
0
0
0
0
0
0
0
0
0
0
8
16
4
4
8
8
0
16
4
0
0
0
0
0
0
0
0
0
24
8
8
10
16
8
8
8
20
0
0
0
0
0
8
8
8
16
8
16
8
0
0
0
0
8
0
2
0
0
8
0
0
0
1
1
8
16
29
0
8
4
0
16
8
8
0
0
0
4
8
8
8
0
0
8
8
8
0
0
8
0
35
0
8
8
4
8
0
16
0
0
0
0
0
0
0
16
8
0
0
0
0
4
12
12
12
12
0
8
0
0
0
0
0
0
8
1
1
1
1
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
16
16
0
0
16
16
8
8
4
4
0
8
0
0
0
0
0
33
33
0
0
0
8
0
0
8
0
48
0
0
16
0
0
8
8
0
0
0
0
4
0
0
1
1
1
0
0
24
8
4
4
16
3
4
0
16
24
24
24
0
8
4
4
0
0
4
0
0
0
0
0
0
0
2
24
16
0
0
0
0
0
8
0
8
1
1
0
0
0
16
16
8
8
0
0
0
0
1
1
4
8
0
0
16
16
0
0
16
16
8
16
16
16
0
0
0
0
0
0
16
4
0
0
8
8
8
4
0
8
0
0
2
2
0
44
16
8
4
4
4
20
20
20
0
0
8
8
0
0
8
0
16
16
0
8
2
8
8
8
8
0
36
0
0
0
26
0
0
20
16
1
8
0
0
16
0
1
16
8
0
24
8
8
0
0
0
16
0
16
0
0
0
0
0
8
8
0
0
4
1
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
8
0
0
9
0
16
16
28
9
9
9
0
8
8
0
0
16
8
0
16
2
2
8
8
0
16
0
8
0
16
16
16
16
16
8
0
30
30
6
0
0
0
0
16
16
16
16
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
34
0
0
0
0
16
16
16
16
16
0
0
20
20
8
8
16
17
0
0
0
0
1
1
8
8
8
0
0
0
8
8
8
8
0
16
0
0
0
0
0
0
8
24
1
8
8
0
2
2
8
0
0
0
0
0
0
0
0
0
12
8
0
0
0
10
20
16
48
0
4
4
0
20
0
0
0
0
16
12
12
0
0
0
8
0
0
0
4
5
5
16
8
0
16
16
11
11
0
9
8
8
0
0
16
16
0
4
0
0
0
0
8
16
16
8
8
16
16
8
8
8
8
20
57
0
0
0
1
1
1
0
0
0
0
32
32
32
16
0
8
8
4
8
8
0
0
16
0
0
0
16
2
8
2
0
17
17
17
0
0
0
8
8
0
0
0
8
0
0
0
0
0
0
0
0
1
0
8
8
8
0
0
0
0
0
0
0
0
0
0
1
0
0
0
8
8
8
8
0
4
2
2
2
2
2
1
0
24
24
4
0
16
52
0
8
16
16
0
0
0
16
8
0
2
2
2
1
1
0
0
1
8
6
1
4
0
16
0
0
0
16
0
0
0
0
0
24
24
24
16
16
0
0
8
4
4
0
0
0
16
24
0
1
8
8
8
0
20
20
0
8
8
8
8
8
8
0
0
0
2
8
8
8
8
56
0
2
1
16
8
0
8
15
15
4
6
16
16
0
0
0
0
4
0
0
4
4
8
8
8
0
12
8
0
4
0
0
8
0
0
8
8
24
16
0
0
8
8
8
0
0
0
8
8
24
8
0
0
0
24
24
8
0
16
1
4
0
56
0
0
9
1
8
0
0
0
1
0
24
0
0
0
8
8
8
0
0
0
8
16
0
40
20
0
0
37
4
0
8
0
0
8
0
16
16
20
20
0
0
2
0
16
8
1
0
4
16
0
8
0
0
0
4
0
0
0
0
0
0
24
0
0
8
0
0
0
0
8
8
24
24
8
8
0
4
16
1
0
8
0
8
8
0
0
8
0
2
2
0
32
32
16
0
0
0
0
0
12
16
16
0
0
0
0
0
27
4
4
1
0
24
24
24
0
0
24
8
8
8
0
0
0
0
0
1
1
8
8
8
0
0
18
18
16
0
0
0
0
0
0
4
0
16
0
16
0
0
0
0
0
0
0
2
4
0
8
0
0
0
1
0
24
0
13
0
8
0
0
0
8
4
8
8
12
0
4
8
0
16
0
2
2
8
8
8
8
8
8
8
8
0
16
16
16
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
1
16
16
32
0
0
17
8
8
40
17
17
0
0
0
0
32
32
0
0
0
0
1
0
0
0
0
0
4
4
4
0
4
32
32
32
8
8
8
0
0
0
0
16
16
8
0
0
0
8
8
16
1
1
1
0
0
0
0
8
0
8
1
0
0
8
0
0
0
0
6
0
8
8
8
0
0
0
0
0
4
2
1
4
4
0
3
2
0
0
0
0
0
0
28
28
28
28
0
8
8
0
0
16
16
0
16
8
1
0
0
8
0
0
0
0
0
0
0
0
32
32
32
0
2
0
4
4
0
8
40
8
0
0
0
0
0
4
4
0
0
0
0
2
0
8
8
8
0
0
0
16
16
16
16
8
16
0
28
0
8
0
16
16
16
0
8
8
0
40
40
0
8
16
4
8
2
4
8
0
0
0
0
0
0
0
0
24
24
0
8
8
1
1
1
0
0
16
0
4
24
32
32
32
22
22
8
0
0
0
0
0
0
8
8
16
0
0
0
0
16
16
8
17
0
0
0
0
0
0
0
0
16
0
0
0
0
0
16
16
16
16
2
16
1
1
0
26
4
4
20
20
20
0
0
0
0
0
2
8
8
0
0
0
4
16
16
16
0
0
24
8
0
0
0
0
0
0
0
0
16
0
8
0
0
62
4
0
16
2
0
0
0
0
0
0
0
0
0
0
0
8
0
16
0
8
20
20
24
0
0
0
0
0
0
8
0
0
24
16
16
16
8
0
20
20
2
0
0
0
0
32
0
0
0
0
0
0
0
0
0
12
8
8
0
0
0
0
0
8
16
0
0
0
1
2
2
12
16
16
0
0
0
0
0
16
16
0
8
8
0
0
0
0
0
8
0
0
0
0
12
1
1
4
11
0
0
0
0
0
0
0
8
0
0
0
0
0
8
8
16
8
8
8
24
0
24
2
32
0
16
8
8
8
8
8
0
0
0
2
2
2
2
0
0
1
8
8
0
1
0
0
16
16
0
0
1
0
0
8
8
0
16
16
0
0
0
0
0
16
1
1
0
0
12
12
0
0
8
0
0
0
16
0
19
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
4
4
1
8
1
1
0
16
0
0
8
8
8
8
8
24
0
0
8
0
0
8
8
16
0
8
8
0
8
0
1
1
0
0
0
16
16
0
0
32
34
16
0
0
0
8
8
16
16
0
0
1
0
0
0
0
4
4
0
0
0
4
8
4
4
0
0
0
0
0
0
0
0
12
0
0
0
16
4
18
8
16
4
4
0
0
0
0
16
0
0
0
0
1
8
8
0
0
0
8
0
0
8
0
0
17
8
0
0
8
8
8
0
0
4
8
16
5
5
0
0
0
2
3
16
2
0
0
0
0
8
0
8
0
0
16
16
16
1
0
0
8
8
22
0
17
19
8
4
4
4
2
2
0
8
8
0
0
8
0
8
4
8
8
8
0
8
0
8
8
9
8
8
0
0
0
0
0
0
0
1
2
2
2
0
0
0
32
8
12
12
32
32
0
28
28
0
0
0
0
0
0
4
4
4
4
4
0
16
0
0
1
0
12
0
0
24
0
8
16
16
0
0
1
0
0
8
8
0
24
8
8
16
0
0
16
0
0
4
16
16
0
1
16
16
16
16
16
0
0
0
0
0
16
4
0
16
27
0
16
17
16
0
4
0
0
0
18
0
4
8
0
0
0
16
0
20
0
0
0
32
32
8
0
0
16
0
0
0
0
0
24
0
0
12
2
2
8
4
0
16
8
8
32
32
1
0
16
16
0
0
8
0
0
0
0
0
0
8
8
0
8
0
2
24
0
0
0
0
32
16
0
0
8
8
12
0
40
0
0
0
0
0
0
0
8
0
0
16
40
40
40
0
8
2
4
4
18
18
0
0
0
0
0
0
0
4
8
0
4
4
1
8
8
2
2
4
0
0
16
8
0
4
0
8
8
8
8
0
0
0
0
0
0
0
24
8
8
16
16
16
16
16
8
0
0
0
16
0
0
8
8
8
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
16
8
0
4
8
8
8
0
4
0
2
0
0
0
0
8
0
0
0
8
0
0
16
16
16
0
0
13
13
0
0
8
0
0
8
0
8
8
32
8
8
8
1
0
0
0
0
0
16
16
16
8
16
16
0
4
2
0
0
24
0
32
32
4
0
0
0
0
0
0
0
0
0
0
18
18
8
8
1
0
0
2
16
0
0
0
1
17
8
2
2
2
0
0
16
24
0
0
2
0
0
0
0
0
0
0
4
4
4
4
4
4
0
0
60
0
0
8
8
0
0
4
0
1
0
22
22
16
1
4
8
24
32
32
8
8
8
8
8
0
8
8
17
17
17
0
0
0
0
16
16
0
16
5
4
8
8
4
0
0
0
0
0
0
0
0
0
16
0
0
16
26
0
0
0
0
0
0
8
0
0
8
0
8
0
0
0
0
8
16
8
8
8
16
1
0
60
60
16
16
0
8
16
16
16
8
4
4
0
16
24
28
0
8
8
8
8
20
0
0
8
0
0
0
18
16
16
32
0
0
0
0
8
8
8
0
0
0
0
8
8
0
0
0
16
0
0
0
0
8
4
32
2
4
0
0
16
16
0
0
0
0
8
0
0
16
2
8
8
8
0
0
4
0
16
0
0
0
32
16
16
0
0
0
0
0
0
0
0
16
8
0
21
1
0
32
0
0
0
2
2
16
16
0
0
8
1
1
0
0
0
0
0
0
0
0
0
0
3
3
40
40
40
4
0
8
0
0
4
0
16
16
16
8
9
0
6
0
16
0
0
8
8
8
0
4
20
0
8
0
0
0
16
16
0
0
25
18
18
0
16
16
8
8
0
8
16
16
0
0
0
4
4
0
0
0
24
0
8
0
0
0
0
0
20
20
20
20
20
12
12
16
8
8
8
0
0
8
8
16
16
0
0
0
0
8
8
8
8
0
0
16
16
4
0
0
0
16
5
2
16
16
16
16
0
8
8
8
8
8
8
8
2
18
2
2
0
8
8
8
8
8
8
0
4
4
4
16
16
0
0
8
1
1
16
32
0
0
8
0
0
0
4
4
0
0
16
16
16
24
0
0
0
0
0
0
8
8
8
16
0
8
16
8
8
8
16
8
8
8
8
1
4
8
8
0
0
51
0
16
16
0
0
0
0
18
18
0
0
8
8
8
8
0
0
24
24
24
0
0
8
8
2
10
10
16
16
16
0
0
24
24
6
8
0
18
0
0
1
23
8
8
16
4
4
16
0
0
4
0
16
0
0
1
0
0
0
8
0
8
8
8
8
34
8
2
8
0
4
8
8
8
10
8
0
32
8
16
16
0
16
0
16
16
8
1
1
0
32
0
0
0
0
0
8
8
0
0
0
0
0
0
16
0
8
8
0
8
4
16
16
16
0
0
0
0
0
0
16
8
0
4
8
8
2
0
0
0
9
9
21
0
0
0
0
0
0
0
0
0
0
8
4
4
4
16
20
20
0
16
0
0
0
0
0
0
8
0
0
0
0
2
49
8
36
0
0
0
0
9
9
0
0
0
0
8
8
16
16
16
0
16
8
16
16
2
2
2
8
0
0
0
0
0
0
0
1
1
1
16
16
16
0
0
4
0
20
4
0
0
4
0
0
2
0
0
0
20
0
16
16
16
16
1
4
8
0
0
16
16
1
4
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
8
1
0
0
0
0
16
1
0
0
0
0
1
4
0
4
8
8
0
0
16
0
0
8
0
2
0
1
1
1
0
0
0
0
0
0
16
8
0
4
4
4
2
2
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
8
0
1
1
0
0
0
0
0
8
8
8
0
0
52
16
16
0
0
0
0
0
0
0
2
0
0
0
12
12
0
8
0
0
0
16
1
1
1
0
0
1
16
16
16
0
0
8
8
0
16
16
16
16
16
16
16
16
16
16
16
16
8
16
9
9
9
9
9
9
0
3
0
0
0
0
0
0
0
8
8
8
16
16
4
4
4
4
0
0
4
0
35
35
4
0
0
0
8
16
4
36
0
0
8
0
0
8
0
0
0
0
0
0
32
0
8
16
0
0
32
0
24
12
12
0
0
0
4
0
4
4
4
0
0
1
56
0
0
0
0
2
2
2
4
0
0
16
16
0
8
8
8
0
0
8
0
0
10
24
24
0
9
0
0
0
16
12
12
8
8
16
24
0
2
2
2
16
0
0
8
4
16
16
16
16
2
0
8
0
4
4
0
0
0
8
30
8
2
0
8
8
4
0
16
16
8
8
16
0
16
16
16
16
0
16
8
0
0
0
8
0
0
0
0
0
0
8
8
2
8
0
0
0
16
16
0
0
0
0
4
4
4
4
0
32
0
8
8
0
4
4
5
5
5
5
0
4
0
0
0
8
8
4
1
0
0
0
0
0
0
0
16
0
16
0
0
0
0
4
16
8
1
1
1
16
16
8
4
0
0
0
0
0
0
0
16
0
1
0
0
8
24
4
0
24
24
0
2
0
0
1
0
0
0
16
16
0
0
18
18
18
0
0
0
8
1
1
8
0
0
6
16
0
0
0
0
0
8
8
8
8
0
0
0
0
17
0
0
0
0
8
4
4
0
0
8
0
8
8
8
0
8
8
8
0
0
8
0
8
8
0
8
8
0
0
4
0
0
0
0
0
0
0
0
4
4
8
0
0
0
16
16
16
16
8
8
8
16
26
26
26
0
0
0
16
0
16
8
0
32
0
8
8
0
24
16
16
4
0
2
2
16
16
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
2
0
8
8
0
0
8
16
16
16
16
16
8
0
0
0
0
0
16
0
16
16
8
0
16
16
8
8
4
0
0
0
0
0
0
2
2
16
8
0
0
0
0
8
8
0
0
8
0
0
0
0
16
0
2
0
0
0
0
28
28
4
20
0
0
0
0
4
4
4
4
4
4
0
0
0
0
0
0
0
4
0
0
8
0
8
33
0
16
16
16
16
16
16
16
0
18
18
0
0
0
0
0
0
16
24
0
1
0
0
0
1
32
8
0
0
0
44
0
38
38
8
8
8
2
2
0
0
0
0
0
0
0
16
16
0
8
4
8
16
16
0
0
16
2
0
0
8
0
32
0
0
0
32
1
1
1
0
0
0
8
0
18
0
0
0
0
0
0
16
1
23
0
8
0
4
0
4
8
2
0
4
8
8
8
0
0
16
24
16
16
16
0
0
3
24
24
0
0
0
0
0
0
0
1
8
8
12
16
32
32
0
48
8
0
20
0
0
4
4
8
0
16
0
0
32
16
0
0
0
0
27
4
4
4
0
0
0
16
16
16
0
0
2
0
0
0
0
0
49
0
0
0
0
6
0
0
16
4
0
0
0
0
0
0
0
0
16
16
16
24
16
0
0
0
0
0
0
32
32
2
20
20
20
0
0
1
16
1
1
8
8
8
8
8
0
0
8
0
8
8
8
8
4
32
32
8
8
32
8
0
0
0
33
0
0
8
8
2
2
2
8
0
0
4
4
4
4
4
4
16
1
2
2
0
16
0
0
0
0
8
17
2
8
8
8
0
0
0
0
0
0
8
16
52
16
8
8
8
8
8
8
8
0
0
0
0
4
0
0
8
16
16
16
8
8
8
0
0
0
0
0
0
0
0
8
8
8
0
0
0
8
0
0
0
0
0
8
0
16
0
0
24
24
28
0
0
0
8
8
8
0
8
3
3
0
8
2
0
0
0
2
1
0
0
0
0
0
0
12
8
8
0
16
0
16
8
18
0
0
12
0
8
0
1
1
0
16
16
0
16
8
8
8
17
17
0
6
6
6
0
0
9
0
0
0
6
6
6
8
8
8
0
58
0
0
8
8
0
0
4
4
4
16
16
16
16
1
1
1
1
1
1
2
0
0
0
60
55
2
2
2
2
2
0
0
16
16
0
12
16
0
0
8
8
8
8
12
0
25
25
0
8
0
0
0
8
8
8
8
8
8
8
8
0
8
0
0
11
0
16
0
0
2
0
0
1
8
8
8
24
0
0
0
0
0
0
0
0
8
0
0
0
8
0
8
1
1
1
2
0
0
0
0
16
1
2
4
12
12
12
12
12
12
12
8
8
16
16
16
0
0
0
0
0
0
0
16
4
0
8
0
0
4
0
0
4
4
0
1
18
18
8
0
5
8
0
16
0
8
8
8
0
4
0
8
0
0
0
0
16
16
16
0
0
0
2
0
0
0
0
0
0
0
2
4
16
8
20
20
0
18
8
0
18
18
18
18
18
18
3
28
16
16
16
16
1
0
0
0
0
8
0
0
2
0
0
0
0
0
0
0
0
1
8
4
0
8
8
0
0
1
0
11
0
0
0
0
0
16
16
2
2
0
0
0
0
0
8
8
0
0
0
1
0
0
8
8
8
0
4
0
0
0
0
0
8
8
8
8
18
0
3
8
25
8
0
0
0
0
0
1
2
0
16
24
24
0
0
16
16
0
0
0
12
4
16
0
8
8
8
0
0
24
24
2
8
0
1
1
4
0
0
0
16
0
0
0
0
0
0
0
0
0
16
1
1
1
54
0
1
0
0
33
0
0
0
0
8
4
4
2
0
8
8
0
0
0
0
0
0
16
16
8
8
8
16
32
17
17
16
32
0
8
8
0
0
0
36
8
8
0
0
0
1
1
1
1
8
8
8
0
20
8
16
16
8
16
8
8
24
0
16
8
8
16
1
1
8
16
16
16
8
8
8
0
0
0
41
32
0
0
8
1
8
0
8
16
16
16
16
4
4
4
0
0
8
0
0
0
0
0
0
32
32
32
32
32
32
16
16
0
0
8
0
8
8
16
17
0
4
0
0
0
16
4
0
0
0
0
4
4
8
8
18
18
0
4
41
0
0
2
2
8
0
4
0
0
0
0
0
0
0
16
16
0
1
1
0
8
8
8
8
24
8
8
0
16
1
0
0
6
8
8
8
8
8
0
0
4
4
4
0
16
0
0
16
16
16
16
4
4
0
0
4
16
17
17
17
17
0
2
0
16
0
0
4
4
4
0
0
0
0
0
0
6
6
0
0
28
0
0
16
0
9
16
8
8
0
12
4
4
4
4
8
8
0
12
8
8
20
16
16
1
0
0
0
0
8
16
16
2
0
8
8
16
16
16
0
0
16
0
16
8
0
24
24
4
16
16
0
0
33
16
0
8
8
8
8
1
0
0
23
2
2
2
2
0
0
0
0
0
4
0
16
0
0
8
0
0
16
0
4
16
2
24
0
0
4
0
9
0
1
0
16
16
16
16
8
8
2
2
0
4
4
0
8
12
12
0
8
8
8
8
8
1
8
0
0
0
0
1
0
0
0
0
8
2
16
17
0
0
4
4
4
0
0
0
0
16
0
36
8
0
0
0
0
52
16
0
0
0
8
8
1
16
16
8
0
0
0
0
16
4
1
1
1
1
8
8
2
2
2
2
8
8
0
0
0
0
0
0
0
0
0
0
0
0
8
0
2
2
0
6
0
0
4
12
0
4
0
0
9
9
9
2
0
0
0
17
17
17
16
0
0
0
0
0
2
4
4
4
16
24
1
1
0
8
0
4
0
8
0
0
0
1
8
8
2
0
1
1
1
1
0
0
0
0
0
16
16
4
4
0
0
9
0
0
8
0
0
0
16
16
10
8
0
0
0
16
8
2
2
8
8
8
8
8
0
0
1
2
2
12
24
0
0
0
0
0
0
0
8
8
0
0
0
18
8
8
1
1
1
8
4
0
8
0
16
0
0
0
0
8
5
1
1
2
2
0
0
20
0
0
0
0
0
6
8
0
0
28
0
8
8
1
16
16
16
0
0
0
0
0
1
0
0
0
0
13
8
0
0
0
0
8
4
0
0
0
0
8
8
0
4
4
0
0
0
0
0
8
8
8
8
8
0
0
2
16
16
16
8
8
0
0
0
4
0
8
8
0
0
0
0
0
2
8
0
8
1
0
0
0
18
8
0
8
8
8
0
0
0
0
0
0
0
24
25
8
0
0
0
0
24
24
24
16
1
8
24
0
4
0
4
0
0
0
0
0
0
2
0
0
0
0
8
8
32
0
1
16
16
16
1
0
2
0
1
1
0
0
8
16
0
16
16
16
16
24
0
0
0
2
16
16
16
0
0
2
0
8
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
8
0
16
0
0
0
16
8
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
8
12
52
52
52
52
52
52
52
0
0
0
16
0
0
32
16
16
0
0
0
8
8
8
0
0
0
2
0
0
0
0
0
16
8
0
0
8
8
1
0
0
8
8
8
8
0
17
0
1
0
0
0
8
8
0
16
0
0
0
0
0
0
0
1
1
1
0
0
16
16
0
0
1
1
1
0
0
16
16
8
0
8
8
0
0
16
0
0
0
16
16
16
0
0
0
0
16
1
1
0
0
4
4
4
0
0
2
16
0
0
16
16
16
0
0
0
0
20
8
16
0
8
8
10
10
0
8
8
8
16
0
0
0
0
8
0
0
16
0
0
0
16
0
0
16
0
4
0
0
0
12
0
1
16
0
0
33
33
0
0
8
8
8
8
32
8
0
0
0
0
0
0
0
16
8
0
0
16
16
0
0
16
16
0
8
8
8
8
8
8
8
0
0
8
8
0
18
4
4
4
8
8
0
8
8
0
0
0
0
32
2
16
0
0
8
8
8
0
0
8
8
0
0
0
1
1
1
0
0
0
16
0
0
0
0
0
8
1
1
1
0
0
0
8
0
8
8
0
0
0
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
8
48
8
16
16
16
16
4
40
37
20
20
16
4
0
0
0
0
0
0
5
5
0
0
0
0
0
2
0
4
16
24
24
0
0
8
4
0
0
0
16
16
8
0
0
8
1
1
1
0
0
2
2
8
24
32
0
8
33
8
0
0
0
0
0
0
1
2
2
8
0
0
16
16
0
4
4
0
0
0
34
8
4
8
16
16
16
6
6
8
0
0
0
0
0
8
9
9
9
0
0
8
8
8
8
0
1
1
4
4
8
8
0
0
0
0
0
0
0
0
0
0
8
8
8
16
16
0
16
16
0
2
4
0
32
16
16
0
16
0
0
0
0
0
16
16
8
5
5
0
0
0
0
0
4
4
0
0
0
0
32
0
0
0
24
24
4
8
8
0
0
0
8
8
2
0
24
0
4
4
0
2
2
4
0
0
10
16
16
0
0
6
4
0
0
0
0
0
0
4
0
0
8
8
8
8
0
0
2
0
16
16
3
3
0
0
0
4
4
34
8
0
0
16
1
0
1
0
16
16
16
0
0
8
16
16
8
1
4
4
0
8
8
8
0
24
0
0
0
0
32
0
8
8
8
5
5
5
0
32
0
0
8
8
0
0
0
0
0
0
8
8
2
8
6
6
2
0
0
0
1
0
0
8
0
0
0
0
4
0
0
4
24
16
4
0
0
2
2
0
0
0
0
1
0
16
16
18
0
0
0
0
16
0
0
0
0
16
0
0
0
16
0
0
0
0
0
2
2
8
4
0
0
0
0
8
16
16
16
0
0
0
0
0
24
8
0
0
16
16
0
16
40
0
16
4
10
8
8
8
4
8
8
8
8
8
8
40
40
45
40
26
0
0
0
0
0
0
8
4
16
24
24
24
24
24
0
8
8
0
0
0
0
52
0
8
0
0
0
0
0
0
0
16
0
0
0
8
8
0
8
8
8
8
8
8
0
0
0
8
8
8
8
0
0
0
16
0
0
0
0
16
0
4
8
8
8
18
9
0
0
16
9
0
1
4
0
8
8
8
8
8
0
4
4
0
0
0
0
0
0
16
0
0
0
0
0
0
1
0
0
0
0
4
8
8
0
16
16
16
2
16
16
16
0
0
28
28
8
8
0
16
16
16
16
16
16
16
56
56
16
17
0
8
8
0
0
0
0
16
0
0
0
2
2
8
8
20
0
24
18
0
8
8
1
1
16
0
8
1
0
16
0
8
0
8
8
8
8
8
0
0
16
2
0
8
8
8
8
8
4
0
0
0
0
0
0
0
0
0
8
1
8
32
0
1
8
16
0
0
0
1
0
0
16
16
16
0
0
0
4
0
0
4
8
8
0
0
8
56
1
4
32
0
4
1
16
0
0
16
16
16
0
0
8
2
2
0
8
0
0
1
16
16
16
24
8
20
16
18
16
8
0
0
0
8
8
0
0
0
8
0
0
16
0
2
8
0
0
0
0
16
0
8
0
18
8
8
0
0
0
16
16
0
0
0
0
8
8
8
0
1
8
8
8
16
2
0
4
4
4
0
2
2
8
12
8
0
1
0
16
0
0
1
1
0
0
0
0
8
8
0
8
8
16
8
0
0
0
1
1
16
2
2
8
8
8
8
8
8
8
0
0
16
16
8
16
4
4
0
0
8
8
8
4
8
8
24
0
0
0
0
0
8
0
2
0
0
0
0
0
0
16
0
8
8
8
0
21
0
0
0
1
0
0
4
0
0
0
0
0
0
8
8
0
16
16
16
16
8
0
0
0
0
0
0
8
0
16
16
16
0
0
0
4
4
4
4
4
32
32
0
0
0
0
0
1
1
0
0
0
1
8
8
8
12
12
0
16
16
8
0
17
16
0
0
0
0
0
0
0
0
24
4
8
16
0
20
20
16
16
16
16
0
16
0
8
0
16
16
2
2
2
2
0
8
8
0
0
0
0
8
0
0
0
8
16
16
16
0
0
0
0
0
0
0
0
1
1
0
0
0
24
24
20
0
1
2
2
0
16
32
32
32
4
48
2
8
8
0
8
0
4
4
8
16
0
0
4
8
8
0
0
0
0
0
0
0
8
0
0
1
0
0
0
0
0
2
16
0
8
32
8
8
8
0
4
4
0
16
0
2
2
16
16
16
0
0
0
1
16
16
0
0
0
16
16
4
0
0
0
16
22
6
6
6
0
2
0
8
8
8
8
0
0
0
0
4
20
0
0
8
8
0
16
0
0
0
0
0
0
16
0
8
1
1
2
0
8
0
0
4
4
24
8
8
4
17
17
0
0
4
4
0
4
0
1
8
0
0
0
0
5
0
0
26
26
0
0
0
16
16
0
0
0
0
8
0
0
0
0
0
0
0
8
4
0
0
0
0
0
0
0
6
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
8
8
0
8
0
0
0
0
0
1
1
1
0
0
8
0
0
0
0
0
5
5
0
0
18
18
16
8
2
0
0
8
8
24
16
16
16
16
16
8
1
0
0
0
0
8
8
8
0
0
0
0
2
24
24
24
0
0
0
0
0
0
1
1
8
0
0
0
2
2
2
1
0
16
16
2
0
0
0
0
0
1
0
9
0
0
0
0
0
0
0
0
20
20
1
0
5
5
24
0
8
2
32
4
16
0
0
0
0
0
20
4
0
8
16
0
24
0
0
32
32
0
8
6
0
1
17
20
0
0
8
8
8
8
1
4
4
4
0
0
3
0
0
0
8
0
0
8
0
0
0
0
24
4
0
0
0
0
0
16
16
0
0
8
18
18
1
1
8
8
1
0
4
4
0
0
4
0
0
0
2
2
2
2
8
0
0
4
0
0
4
8
2
32
8
8
0
0
4
2
2
0
8
12
8
0
13
16
26
0
16
8
8
8
0
0
1
0
0
0
0
8
16
0
0
17
17
16
8
8
8
8
16
0
2
16
0
1
16
0
1
0
0
0
16
16
16
0
0
0
0
0
0
0
0
2
0
0
6
24
1
0
0
32
32
16
16
0
3
0
0
4
4
8
4
14
0
0
20
20
1
0
0
0
16
0
1
1
3
3
4
4
4
40
40
40
0
0
0
50
0
0
1
0
0
0
0
0
2
2
2
2
2
2
2
16
16
8
0
0
0
6
6
8
12
24
24
0
0
0
0
8
0
0
16
0
0
8
8
8
8
0
0
0
0
0
0
24
24
0
0
12
1
1
0
12
32
32
8
8
24
1
1
0
8
16
8
9
9
20
0
0
24
32
4
4
8
8
0
0
0
17
8
0
0
0
16
20
20
0
0
0
32
16
2
20
0
8
1
1
32
8
8
0
0
0
32
32
0
0
0
0
0
0
0
0
0
0
16
8
0
16
0
0
0
40
16
4
16
16
8
0
0
0
0
16
0
0
4
8
8
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
21
21
0
8
0
8
0
0
0
32
0
0
0
32
32
32
32
0
0
0
0
0
0
0
8
8
32
32
0
8
0
0
8
0
0
0
8
16
0
16
8
0
0
0
0
0
0
8
8
0
8
8
16
2
0
16
17
8
8
0
0
0
0
40
40
0
16
0
16
0
0
1
1
8
0
0
17
1
2
8
8
0
34
16
16
0
8
0
0
8
8
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
8
0
4
4
4
4
1
0
0
0
16
16
16
16
16
16
16
16
16
16
8
8
0
0
0
0
0
4
0
0
0
0
0
0
0
8
8
8
8
0
0
0
0
0
2
8
0
0
0
17
0
8
0
0
0
0
16
0
0
0
16
16
8
16
0
8
0
0
0
8
8
8
0
0
0
16
16
0
0
0
0
0
0
0
0
8
8
8
8
0
0
0
0
0
16
16
0
16
16
16
2
8
16
0
0
0
0
4
4
4
4
0
0
20
0
0
0
0
0
0
1
20
20
0
16
9
24
0
0
0
0
0
0
0
0
0
0
0
4
20
0
16
16
0
8
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
0
16
12
0
4
4
16
8
8
0
8
0
28
16
16
8
8
0
0
8
0
0
8
0
0
8
8
16
16
0
0
0
8
0
8
0
58
16
16
2
2
2
0
24
24
2
4
8
0
8
8
16
0
8
8
0
8
8
8
8
0
0
0
8
0
0
0
16
16
0
0
8
8
8
0
0
0
8
2
0
0
0
0
0
8
8
8
8
0
0
0
1
4
8
8
8
0
0
0
0
0
0
8
0
16
10
10
1
1
8
5
16
16
16
24
0
0
0
0
6
0
0
8
16
8
0
16
4
32
18
16
0
0
0
8
8
0
0
0
0
0
0
24
24
24
0
0
0
10
0
12
16
0
8
6
0
4
4
0
16
1
1
8
16
0
8
16
16
8
4
4
0
8
0
0
0
0
0
0
19
16
16
16
0
40
40
0
8
33
33
0
0
1
0
0
0
8
8
0
0
0
0
0
0
0
20
8
8
0
16
0
0
0
0
0
0
1
8
8
27
8
8
8
8
0
0
8
0
8
1
0
2
0
0
16
8
8
0
0
0
8
8
0
0
0
0
0
1
1
0
8
8
0
4
4
8
8
0
0
8
0
0
11
0
4
2
2
2
2
2
8
0
8
8
8
52
16
0
8
0
0
0
0
0
0
6
6
8
0
16
16
16
0
0
0
16
0
8
16
18
2
0
8
8
8
8
0
0
8
16
16
16
8
0
0
17
0
16
16
16
16
16
16
16
16
16
16
0
0
0
16
16
0
0
0
8
16
4
0
8
8
8
0
0
8
0
0
0
0
0
20
16
16
16
8
1
1
1
0
0
32
32
32
0
0
9
8
16
1
0
0
0
0
0
0
8
16
0
0
0
0
0
0
0
0
0
0
8
8
0
0
16
0
16
16
16
16
16
16
1
1
0
0
0
16
16
40
40
40
40
40
0
0
26
0
0
0
0
1
1
0
0
0
8
8
0
0
0
0
1
0
8
0
0
8
0
0
0
0
16
0
0
0
16
16
16
0
0
0
0
16
0
0
0
1
1
1
0
0
0
24
24
24
24
0
0
0
0
0
24
2
32
32
1
0
4
4
10
16
16
0
0
0
8
16
0
0
0
0
0
16
8
8
16
16
16
0
0
0
0
0
0
0
0
0
8
0
1
0
0
0
0
0
0
8
0
0
16
16
2
2
1
16
5
0
0
8
0
0
0
16
0
4
0
0
0
0
0
8
8
8
8
20
8
40
8
2
0
0
0
0
0
0
8
0
0
0
0
0
16
0
0
0
1
1
1
6
2
0
0
0
0
16
16
0
0
16
16
13
0
0
17
17
17
17
0
8
8
8
16
24
24
1
1
0
0
0
0
16
9
9
9
9
9
0
0
0
2
2
0
0
16
16
0
16
4
0
0
0
0
0
0
40
16
24
24
24
8
0
0
0
0
2
0
0
16
8
4
24
24
24
8
8
16
0
0
0
0
0
0
0
1
0
2
0
8
0
9
9
0
0
24
8
0
4
4
4
4
0
0
0
1
8
8
8
16
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
1
1
0
16
24
0
8
0
0
0
10
2
1
0
0
8
0
8
8
8
0
0
0
0
4
0
0
0
3
0
4
0
8
4
8
8
4
0
0
0
0
4
4
0
0
8
0
16
16
9
0
16
16
25
25
0
0
0
8
8
2
2
0
12
12
12
4
0
0
0
24
24
24
16
0
0
0
0
0
16
0
8
0
16
0
0
0
0
8
8
4
8
16
16
0
2
0
2
2
2
8
0
0
0
0
0
25
0
16
24
32
32
32
32
32
1
1
20
0
0
0
0
8
0
0
0
0
0
0
0
0
0
16
16
6
16
8
8
18
0
0
0
8
0
16
16
16
0
16
0
16
8
8
0
0
8
10
16
16
16
8
0
2
0
0
4
4
12
8
0
32
32
32
0
16
16
16
0
0
24
0
0
0
0
0
2
0
16
0
0
0
0
0
8
8
10
10
6
2
2
0
0
16
8
8
0
0
0
0
0
0
0
0
2
8
0
0
0
0
8
8
16
16
0
40
0
0
8
8
33
0
0
28
0
0
0
8
4
0
0
16
8
8
0
0
4
0
9
8
0
8
8
8
8
16
1
0
0
0
16
16
0
0
8
0
0
0
8
8
28
0
0
1
18
8
40
40
40
0
8
8
0
0
0
9
0
8
0
0
0
16
24
0
16
0
8
0
0
24
24
8
16
16
16
0
0
8
8
16
16
40
40
40
1
0
17
1
1
0
0
0
16
0
0
2
24
48
48
8
0
8
0
17
12
12
8
16
16
18
16
8
4
4
4
1
0
0
0
16
8
0
32
32
8
2
0
36
0
0
0
54
54
16
16
8
0
24
24
0
8
0
0
0
0
20
0
0
0
0
2
8
0
0
8
8
8
0
4
16
0
0
12
12
12
16
0
16
16
0
0
0
16
16
16
16
8
0
0
0
0
16
16
0
0
0
0
0
0
4
24
24
16
0
0
0
0
0
8
32
32
32
0
32
0
0
8
8
8
0
8
0
2
16
16
16
0
0
0
0
8
8
0
8
8
8
8
8
0
2
16
16
16
0
0
20
0
0
0
8
16
4
0
0
16
0
27
8
8
0
2
0
0
10
0
0
16
16
0
8
5
5
10
0
0
0
0
8
1
8
4
4
0
0
0
0
0
24
24
24
24
24
24
0
0
8
8
8
0
41
0
0
41
41
0
8
8
8
16
16
8
0
0
8
0
0
0
0
0
0
0
8
10
10
8
16
10
0
0
0
0
0
25
2
2
8
0
0
0
16
0
20
2
16
16
16
16
8
0
4
0
16
0
1
1
0
18
16
4
0
0
0
0
0
0
0
0
8
8
8
8
8
8
0
0
16
16
0
8
0
0
0
0
0
17
17
6
0
0
0
2
0
4
0
0
4
0
16
0
0
0
0
8
8
16
16
16
16
16
16
5
5
5
1
0
12
8
16
0
16
8
8
8
0
4
8
0
0
2
2
2
24
24
24
24
24
24
24
24
24
24
24
2
2
8
8
4
4
0
0
16
8
0
0
0
4
0
0
0
0
0
0
8
0
16
0
0
8
0
1
1
16
16
16
16
4
35
35
18
1
0
4
0
0
0
0
0
2
0
0
0
0
8
0
0
1
1
8
0
0
0
0
0
0
1
16
17
16
8
8
8
8
16
16
4
4
4
4
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
2
2
2
0
0
0
0
0
8
0
0
16
16
16
0
21
0
0
8
0
0
0
0
0
0
0
1
8
0
0
0
0
0
16
24
1
16
12
0
0
16
4
8
8
8
52
0
0
0
0
0
10
10
8
2
16
16
12
8
8
0
4
4
4
4
4
0
24
8
2
0
0
0
0
32
0
16
0
0
0
2
8
8
8
8
8
8
8
0
0
4
0
0
9
9
9
17
8
8
8
8
16
0
0
0
16
8
0
0
0
0
0
1
1
0
0
12
3
0
0
0
0
8
8
8
0
16
1
0
0
0
0
0
0
16
8
8
8
8
0
20
19
6
6
0
24
16
0
0
24
0
0
0
0
0
20
0
0
1
1
1
2
16
16
18
1
1
0
8
8
2
0
2
2
16
0
0
16
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
8
0
16
11
24
24
16
1
1
0
20
0
0
2
2
0
0
0
1
1
0
0
8
8
8
0
9
0
0
2
16
18
8
0
0
0
0
4
16
0
2
2
8
0
0
0
0
0
4
0
0
16
0
0
14
0
16
0
16
16
0
20
4
0
8
8
0
0
0
0
0
0
4
0
0
0
0
0
0
0
8
8
8
8
8
8
0
0
0
0
0
8
20
0
8
4
8
8
4
4
4
4
0
16
2
0
0
0
0
0
0
0
0
2
0
8
8
8
8
0
0
0
0
8
1
25
1
1
8
8
52
0
0
0
2
0
2
0
0
8
8
1
0
0
0
16
20
1
1
0
0
0
0
0
0
8
8
16
16
0
1
1
22
0
0
0
0
0
16
16
4
40
40
1
1
0
0
0
0
0
0
0
0
8
2
2
2
40
8
2
2
2
2
1
1
0
8
16
16
0
24
24
24
24
0
0
0
0
0
16
0
0
0
0
8
8
0
8
0
8
4
0
0
0
0
0
0
0
0
2
0
4
4
16
16
4
4
2
2
2
2
2
2
2
2
0
0
0
16
4
0
0
0
4
0
0
16
16
8
8
16
24
0
0
52
5
0
0
8
8
8
8
0
4
0
0
0
0
0
8
4
0
0
0
0
0
0
0
0
0
16
0
4
0
0
0
0
0
1
20
20
16
8
32
0
0
1
0
0
8
0
0
0
8
8
16
0
0
2
0
0
0
0
8
8
0
8
1
0
0
0
16
16
16
8
8
8
4
4
16
16
16
16
16
16
2
2
0
48
0
0
8
16
8
8
16
16
16
0
8
0
0
0
0
0
0
2
12
16
0
0
0
0
0
0
0
0
0
16
8
8
16
28
0
0
0
0
0
0
0
0
8
8
0
8
0
16
16
16
16
0
0
8
8
8
8
0
0
0
8
16
16
0
0
18
0
0
8
8
0
8
0
0
0
0
4
0
1
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
1
1
16
16
8
8
0
0
48
2
8
8
4
16
16
0
8
0
24
24
25
0
0
0
0
0
18
18
16
0
2
2
4
4
24
24
24
4
0
0
0
0
0
8
1
16
0
4
1
5
0
8
0
0
0
0
0
0
16
32
0
8
2
2
0
0
8
0
4
16
16
2
2
20
8
8
8
16
16
0
16
16
16
16
16
16
0
0
0
0
4
4
4
4
0
0
0
0
24
0
0
0
16
16
16
4
0
8
0
0
0
8
8
16
0
0
0
18
8
0
0
0
0
4
16
2
16
8
8
0
0
0
0
0
8
8
4
0
16
4
0
8
18
2
16
16
16
16
1
0
0
0
0
0
0
0
0
8
8
16
16
16
8
1
16
0
0
0
16
8
0
0
0
0
0
0
0
26
26
0
16
4
4
0
0
0
0
0
8
0
0
0
0
0
1
0
0
0
16
0
4
4
18
4
0
0
0
0
8
8
16
16
20
4
4
4
0
0
0
0
0
0
16
1
0
8
4
0
6
6
8
0
0
0
0
0
1
16
0
52
8
8
0
0
4
8
8
24
8
0
0
0
0
0
8
16
0
0
0
4
4
28
8
8
0
4
2
0
0
0
0
28
8
8
8
8
8
8
8
8
8
16
16
8
0
16
0
8
0
8
16
16
16
1
0
4
23
4
24
24
16
0
5
5
8
4
18
0
0
0
12
12
0
0
4
2
2
2
0
16
16
8
8
2
2
2
2
2
0
0
0
0
0
0
4
16
0
8
0
4
0
1
1
1
28
0
0
0
0
0
0
1
8
8
8
8
0
0
4
8
8
8
0
0
0
0
0
8
0
0
0
16
16
16
0
8
0
0
4
8
4
8
12
8
8
8
0
0
8
2
0
0
24
0
32
40
8
8
17
8
8
36
0
0
16
8
8
16
16
8
8
8
0
8
0
16
16
16
0
0
0
8
8
8
2
4
0
0
8
0
0
8
0
8
1
10
0
8
0
0
0
0
0
8
8
0
0
0
4
0
0
0
0
16
8
0
0
0
0
0
0
0
0
16
8
16
8
8
8
8
8
16
32
8
8
8
8
0
0
0
0
0
4
0
0
24
24
0
0
1
1
0
16
16
0
3
3
16
8
0
0
0
0
0
0
16
8
8
8
8
8
8
0
0
29
0
0
20
20
8
32
32
32
0
2
8
34
0
24
8
16
0
16
16
40
16
0
0
4
4
4
0
18
1
1
1
16
16
16
16
0
0
0
8
8
0
8
8
8
8
0
0
2
0
24
0
0
0
2
0
0
0
6
0
8
8
8
0
0
4
0
4
4
1
9
4
0
8
16
16
16
20
20
20
0
0
18
16
16
16
16
8
16
0
0
16
16
0
16
0
0
8
0
16
16
0
8
8
8
8
4
4
18
0
0
0
0
0
0
0
4
4
4
1
16
16
0
0
0
1
1
8
8
1
1
1
0
0
2
0
1
0
24
24
16
2
8
8
8
8
0
8
8
0
0
0
0
0
0
16
16
0
0
0
16
0
16
16
16
0
0
0
10
8
0
0
0
0
12
33
16
0
0
0
0
16
0
0
0
0
16
16
16
0
0
0
0
0
0
0
0
0
8
8
4
0
0
0
16
16
16
2
0
0
0
0
0
0
0
6
6
6
0
0
0
8
8
24
0
0
0
0
16
0
4
8
8
8
8
0
0
0
0
0
0
4
0
0
1
0
0
0
0
0
8
8
8
8
8
0
0
7
8
0
0
0
0
0
0
0
0
8
0
0
0
8
1
1
1
1
0
16
0
2
2
2
13
0
0
0
0
8
0
8
0
0
0
0
0
16
16
8
8
8
1
32
4
0
4
4
32
16
16
16
16
0
0
0
0
1
0
0
0
16
0
0
0
8
8
8
8
8
8
8
0
0
0
0
0
0
0
24
0
0
16
16
16
10
10
16
4
8
8
0
4
4
16
0
0
4
8
8
8
4
2
2
8
0
0
8
1
0
0
0
0
0
0
16
0
0
0
0
0
0
8
0
0
0
4
1
0
0
0
0
36
0
24
0
0
0
0
20
20
16
16
4
0
0
0
0
0
1
1
1
16
17
1
0
4
0
16
16
16
16
0
0
8
8
8
8
8
8
0
0
0
8
1
16
16
0
8
16
16
16
0
2
0
0
0
0
0
0
0
0
0
0
0
16
16
17
17
17
8
8
8
8
8
8
8
0
8
8
8
0
16
16
16
0
4
4
12
0
8
0
0
0
16
0
0
0
16
16
16
2
8
0
0
16
16
16
0
8
0
0
0
0
0
0
4
0
0
8
0
0
0
8
0
0
0
8
0
8
8
8
8
0
0
0
0
8
1
1
2
0
0
0
16
16
0
0
0
8
16
8
8
8
0
16
16
8
0
0
8
0
1
0
0
0
0
0
8
20
17
8
0
0
0
0
0
0
0
16
0
0
1
0
2
16
16
16
2
2
2
2
0
16
16
16
0
0
0
0
4
0
16
16
16
8
4
4
8
13
8
0
0
0
24
24
20
0
0
4
24
24
0
8
0
0
0
0
8
8
0
16
16
0
0
0
0
16
16
8
1
0
8
0
0
0
16
4
0
0
8
22
0
0
0
2
2
2
2
0
1
1
1
1
1
0
8
8
0
0
0
0
0
61
8
8
8
16
16
0
2
16
16
16
16
16
16
16
16
16
0
1
16
16
0
0
16
1
0
4
4
0
8
60
0
0
24
24
0
8
8
18
18
0
16
16
32
0
0
33
24
4
16
16
16
16
16
8
0
8
2
0
0
0
24
0
18
18
4
4
0
0
0
0
1
8
16
16
0
0
0
4
0
0
0
0
1
0
0
8
8
0
8
7
1
1
0
9
0
8
0
0
0
8
16
0
0
0
1
1
8
0
0
1
21
1
0
8
0
0
16
8
0
32
16
0
0
0
16
24
24
16
0
0
22
22
1
1
1
0
12
12
0
0
0
0
0
0
4
4
0
1
0
16
0
0
0
0
0
8
8
0
0
0
16
16
16
0
0
0
0
0
0
16
16
16
16
16
0
0
0
0
1
16
0
0
0
41
41
0
0
0
19
19
16
0
2
2
0
16
0
0
1
1
0
0
0
0
0
0
0
0
16
16
16
16
0
0
28
28
16
0
0
0
0
0
0
16
0
4
0
0
0
0
8
8
0
0
0
8
8
0
0
0
0
0
12
1
1
1
1
1
1
1
1
1
0
16
16
16
16
16
16
0
0
0
0
16
8
1
1
1
0
0
2
8
8
16
0
8
0
8
8
16
1
1
0
0
0
0
8
0
2
4
4
4
0
8
0
8
8
8
8
0
3
0
29
10
4
0
0
0
1
1
0
16
0
0
0
0
0
12
4
4
4
1
16
5
8
0
0
0
0
0
0
0
16
16
16
0
0
0
16
16
8
8
8
0
17
24
0
0
0
0
32
0
0
0
0
0
0
0
0
0
0
26
8
8
0
0
0
0
0
0
10
0
16
16
16
1
1
8
8
8
0
0
0
0
3
3
16
16
8
8
1
18
0
4
8
8
0
0
0
8
0
16
0
0
0
0
0
0
0
0
0
0
0
16
16
16
1
52
0
0
1
0
0
0
0
0
16
0
16
16
16
1
16
4
4
16
8
16
4
4
4
0
0
0
0
0
0
32
24
24
0
0
0
0
0
0
0
0
0
0
16
16
0
8
0
1
8
0
16
16
4
0
26
26
49
7
4
4
0
4
0
0
0
34
8
8
0
4
0
4
0
0
0
0
0
0
16
0
0
0
0
17
24
24
16
0
0
0
0
0
0
8
16
0
18
8
24
8
8
8
8
8
8
0
0
0
0
0
0
0
16
8
8
0
0
0
8
8
0
0
0
0
0
0
32
0
25
0
0
8
0
0
0
3
16
0
4
4
4
0
0
0
0
8
0
0
0
1
8
8
8
8
0
0
0
0
0
2
0
0
0
0
0
8
8
32
0
0
16
16
0
0
0
0
14
0
0
0
0
0
8
17
32
9
16
0
32
24
4
4
8
21
4
4
16
16
8
8
0
8
0
16
16
16
0
0
16
8
4
4
4
8
4
4
8
8
4
4
0
0
0
0
16
0
16
16
16
0
0
0
16
16
8
8
8
0
0
8
0
0
8
0
8
0
0
0
0
0
0
0
0
24
0
0
16
32
32
32
32
1
9
9
0
0
0
0
0
8
0
2
8
0
8
0
16
0
0
52
4
8
8
4
4
4
4
4
1
1
1
8
8
16
8
17
8
32
0
8
0
0
1
8
0
0
2
2
2
1
16
0
9
0
0
0
32
8
8
8
0
16
16
0
0
0
28
16
0
0
8
0
0
1
1
0
0
1
0
0
4
8
8
8
8
8
8
8
8
8
16
25
0
1
1
1
2
0
0
16
0
0
0
0
0
16
16
16
16
16
16
0
8
2
2
0
0
16
43
0
0
0
0
8
8
0
4
8
8
16
0
0
0
0
16
16
16
8
8
0
0
0
0
10
0
8
8
0
17
17
17
8
1
0
0
0
0
0
0
16
16
16
4
0
8
9
8
0
1
1
16
16
16
16
16
32
32
32
4
4
8
2
16
16
16
8
16
16
16
16
16
16
8
6
8
16
16
0
0
0
24
16
6
1
8
8
0
0
24
24
2
2
8
16
0
0
0
2
0
0
0
0
0
0
8
8
8
0
0
0
0
0
16
16
0
0
0
7
32
8
8
0
0
0
4
6
0
8
0
0
1
0
0
0
8
0
0
0
18
0
24
0
8
24
0
8
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
8
8
0
0
1
0
0
0
16
0
0
16
0
14
8
4
0
0
0
0
0
0
16
16
1
0
8
8
24
24
2
8
4
0
0
16
0
0
0
0
0
0
0
8
32
32
0
8
8
16
16
16
16
0
16
0
0
26
26
8
0
0
0
0
8
8
0
0
0
0
8
0
0
0
0
4
0
16
16
8
18
0
0
0
9
8
8
0
0
0
16
0
16
0
0
0
0
0
8
0
0
4
0
0
0
1
8
0
2
6
0
0
0
16
16
0
4
16
16
16
0
0
24
16
0
0
0
0
0
0
0
0
8
4
16
16
16
8
8
24
24
0
0
4
4
0
2
16
16
16
0
0
0
8
0
32
0
0
16
8
0
0
24
1
1
1
16
0
2
8
8
8
8
40
40
40
0
0
0
0
0
0
0
0
0
0
0
0
2
0
8
1
0
0
0
0
0
4
4
0
8
8
8
8
0
8
8
0
0
0
0
20
20
16
0
0
0
8
8
8
16
16
25
3
3
16
0
0
0
0
8
4
4
0
0
0
1
8
16
1
0
0
0
0
4
2
0
8
0
9
0
8
8
0
8
0
0
0
0
0
0
8
0
0
0
8
10
0
0
0
4
0
0
1
1
0
8
16
4
4
0
16
1
0
3
8
8
12
0
24
1
8
8
20
20
0
0
0
0
16
16
0
8
0
0
17
16
8
0
40
0
8
4
0
1
0
1
1
0
0
24
0
0
20
20
2
2
2
0
0
0
0
32
4
16
16
16
0
4
4
0
0
0
0
0
0
0
0
0
16
16
0
0
0
8
0
0
0
16
0
2
2
8
0
0
0
0
0
0
0
0
0
0
0
8
0
0
16
16
8
8
1
0
16
16
0
4
0
8
0
0
60
8
0
0
0
0
0
19
20
0
2
0
0
32
0
0
0
16
12
0
5
5
0
8
16
0
8
1
1
0
32
0
1
25
16
0
0
0
0
8
8
8
8
0
0
0
8
8
8
8
16
24
16
0
0
0
0
8
0
16
0
0
12
12
16
0
0
0
0
4
16
16
1
0
24
16
8
2
0
0
2
8
0
8
8
37
37
0
0
24
24
24
0
0
0
16
0
4
8
8
2
4
4
8
0
16
16
8
0
0
0
0
0
0
4
0
0
4
16
16
8
56
0
0
0
8
8
0
0
4
32
40
32
32
16
8
8
8
0
0
0
0
0
0
16
16
16
16
4
0
24
16
0
0
8
24
24
24
0
2
0
0
21
10
8
1
8
8
0
16
0
0
0
0
0
0
0
8
18
0
0
0
16
1
0
8
24
24
8
1
0
0
4
0
8
8
0
8
0
0
33
0
0
0
0
0
0
0
0
0
16
16
16
16
0
1
0
0
8
8
16
9
9
4
1
1
16
16
0
0
0
0
12
8
0
0
17
17
17
17
17
0
0
0
0
0
0
0
16
16
0
8
8
0
8
8
8
8
9
1
0
4
16
16
16
16
0
0
0
0
0
0
0
32
32
0
0
16
0
0
0
0
45
0
0
0
8
0
8
8
0
0
0
0
0
0
8
8
8
8
8
0
16
16
8
20
0
0
45
32
0
0
9
0
32
8
8
0
0
2
7
0
16
8
1
1
1
1
1
0
0
8
8
24
0
16
16
0
0
0
8
0
3
0
0
4
0
0
0
8
1
0
0
0
0
4
0
8
1
1
1
16
8
0
0
0
22
8
8
8
8
8
8
0
0
0
18
0
24
24
24
8
8
8
8
16
0
1
0
0
0
1
16
16
16
0
0
1
4
0
0
16
8
22
22
0
0
24
0
0
0
0
0
0
4
4
32
32
0
0
0
0
0
0
0
0
0
16
0
0
0
4
4
4
24
24
0
0
4
0
8
0
16
16
0
0
0
0
0
8
16
16
16
16
0
4
10
16
0
0
8
1
0
0
0
0
8
4
32
8
8
8
16
16
16
16
0
0
8
1
8
8
21
21
0
2
8
24
24
16
16
8
8
32
0
0
0
0
0
0
0
0
0
8
16
4
4
8
8
8
0
8
0
0
16
16
16
16
16
16
19
19
0
0
0
16
0
8
8
0
0
0
8
8
8
8
8
8
0
0
0
4
0
0
0
0
0
16
16
16
20
20
0
0
1
16
8
8
0
0
0
0
0
24
24
24
0
0
0
0
0
4
4
8
16
16
0
8
0
16
0
8
0
16
8
8
0
16
8
16
16
16
16
8
0
0
0
0
16
1
1
1
32
0
0
2
2
2
0
0
0
0
0
8
0
20
0
34
34
0
4
4
4
0
0
8
2
8
8
8
8
16
24
1
4
4
4
0
0
0
16
0
1
39
39
16
8
8
8
8
16
0
0
0
16
8
0
0
8
8
8
0
0
0
0
0
0
32
0
0
4
0
0
0
8
0
0
0
2
16
0
16
8
17
0
0
0
8
16
4
0
4
0
0
0
0
1
0
0
0
24
8
0
16
16
32
8
8
8
8
16
16
8
8
2
20
20
16
0
1
1
1
1
0
8
0
0
0
0
0
0
0
0
0
0
0
0
10
0
0
0
33
33
33
8
8
16
16
16
16
24
4
32
0
8
0
0
0
4
4
4
4
4
8
4
2
2
2
4
12
0
0
0
0
0
0
0
16
2
2
0
16
0
0
0
0
16
16
8
0
0
0
0
8
0
16
0
2
1
2
2
2
8
8
8
8
16
1
1
0
8
8
8
8
8
8
0
2
2
0
8
0
0
20
20
0
0
8
0
0
8
8
52
4
16
24
16
0
0
16
0
8
8
4
16
0
8
8
0
32
32
0
1
8
8
2
0
0
0
0
0
4
0
0
0
8
1
20
24
24
0
0
0
0
16
16
2
2
0
0
16
16
16
8
24
8
8
16
16
8
8
8
8
8
2
0
8
8
4
32
0
1
1
1
1
1
1
8
8
8
2
0
0
2
2
0
0
0
0
0
16
16
8
0
0
0
0
8
2
2
0
8
24
0
0
0
0
0
12
12
8
0
0
8
20
2
16
0
0
8
8
0
18
0
0
0
0
0
2
0
0
16
0
0
8
24
0
16
16
0
0
8
8
2
0
17
24
24
24
0
0
0
4
4
32
6
4
4
8
8
0
0
0
0
20
0
0
8
8
0
8
0
0
32
32
0
8
8
0
16
16
0
32
32
0
0
6
0
0
4
0
0
0
0
0
4
4
16
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
8
16
0
16
8
8
4
8
8
8
8
8
0
0
16
16
0
0
2
0
0
0
8
16
16
16
0
4
17
0
0
0
33
8
16
0
2
0
0
0
0
0
0
0
0
16
0
0
0
0
0
16
16
12
0
0
0
0
16
0
0
8
0
0
0
1
0
8
0
1
1
1
0
2
0
17
8
0
9
1
8
8
8
8
0
0
12
12
16
24
0
0
20
0
0
16
0
0
0
0
16
8
8
4
0
0
8
16
16
0
16
16
16
0
0
16
32
8
16
0
0
0
16
22
22
22
0
16
16
16
16
0
8
8
8
32
24
8
4
0
16
0
1
0
0
0
4
8
8
2
2
2
0
0
0
8
8
0
8
1
0
0
18
16
0
8
0
16
6
6
0
0
0
0
22
2
16
16
16
16
16
17
17
17
17
17
2
2
1
32
32
0
16
16
8
0
0
0
0
0
8
8
8
2
0
0
0
0
4
4
8
8
8
0
8
8
0
2
16
0
16
16
16
0
0
2
2
4
8
8
2
12
0
8
0
16
1
1
0
0
8
8
8
0
16
8
0
0
0
0
24
24
24
24
24
0
8
1
0
4
0
0
0
0
0
24
56
0
1
1
0
0
0
0
8
0
0
0
8
8
0
0
0
0
8
8
0
8
8
4
4
2
0
0
0
0
16
0
0
0
0
4
0
0
1
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
8
0
0
0
16
16
16
0
8
0
1
0
0
16
8
10
10
2
0
0
0
0
0
0
0
0
2
2
0
2
0
8
0
0
0
16
8
0
0
0
0
0
4
4
16
0
9
0
8
8
0
16
0
0
0
0
0
0
0
0
0
2
12
12
24
0
8
8
0
16
16
0
17
1
1
1
0
0
0
0
0
0
0
0
0
0
0
24
0
16
24
8
4
57
8
8
1
0
8
16
16
0
0
18
16
2
0
1
0
16
16
16
0
0
0
0
0
0
0
16
0
4
0
4
0
0
0
8
8
2
0
10
0
8
8
8
0
0
0
0
0
8
16
0
8
8
0
0
0
0
0
0
16
1
1
1
0
0
17
8
8
8
0
8
0
8
0
1
0
32
32
4
4
8
8
0
16
8
4
8
0
8
32
8
8
0
16
0
8
8
8
8
8
8
17
0
16
16
16
8
0
1
0
0
0
8
4
9
0
0
0
0
16
0
0
0
1
0
0
12
4
4
0
0
8
0
4
0
0
8
0
1
8
8
0
24
24
0
0
0
8
8
1
0
0
0
0
4
0
0
0
0
0
16
0
16
1
8
8
0
8
8
24
16
0
0
0
0
0
4
4
4
32
32
32
0
2
2
0
8
8
0
32
1
0
8
8
20
2
2
16
16
8
8
8
8
0
16
16
0
8
16
8
8
8
0
0
0
8
8
0
0
0
0
0
0
0
8
8
0
0
6
16
16
16
16
0
8
16
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
8
0
0
0
8
0
1
16
16
8
0
0
2
2
16
9
0
4
4
9
0
2
8
0
8
40
8
0
16
8
10
10
10
0
0
0
0
9
16
8
0
8
8
16
16
16
16
16
1
1
1
1
0
0
0
0
0
0
0
0
1
0
0
8
0
0
0
0
0
0
9
8
8
0
0
8
8
8
16
16
0
0
8
0
0
0
8
8
0
0
4
4
4
8
8
0
0
0
0
0
0
0
0
2
2
0
0
0
0
16
0
4
0
0
6
0
0
0
0
0
2
2
0
3
0
0
16
3
0
0
0
8
10
4
4
0
0
0
16
8
0
0
8
0
0
0
0
0
0
0
6
0
2
0
0
1
1
16
16
8
8
8
8
25
25
0
0
0
0
0
8
8
8
8
0
0
8
0
24
24
24
16
16
1
0
4
0
0
0
8
8
16
16
4
35
16
16
8
0
0
16
16
0
1
0
16
18
2
16
24
24
24
8
8
8
8
2
2
0
0
16
16
20
20
20
4
0
8
4
0
0
0
0
8
8
8
0
8
0
0
16
8
8
1
2
4
2
0
0
0
0
16
16
16
4
0
1
16
16
0
8
0
0
4
8
1
0
0
0
32
8
8
4
8
8
8
8
8
0
0
0
8
8
8
8
8
4
4
8
56
8
0
0
4
4
4
1
0
0
16
16
16
0
16
16
0
2
2
8
8
8
4
4
4
0
16
16
32
33
2
2
0
8
0
0
16
0
16
16
0
0
0
1
1
1
1
1
0
0
0
1
1
0
0
16
1
1
32
32
32
2
0
9
0
0
4
4
0
48
48
0
0
24
24
16
0
4
4
16
16
8
0
25
25
9
0
0
8
25
16
0
0
8
0
25
24
4
8
8
8
4
8
0
0
0
12
0
4
4
4
0
0
16
4
4
4
4
8
16
16
16
16
16
16
16
48
48
1
0
16
0
0
8
8
0
32
16
0
4
8
8
8
8
8
8
8
16
8
8
1
1
1
1
1
17
16
0
0
0
0
8
8
0
0
1
8
24
24
24
0
0
0
0
0
0
24
16
0
32
0
0
16
16
0
0
0
0
9
9
0
0
16
0
16
16
4
4
4
4
16
0
8
8
0
0
8
16
16
16
16
16
16
0
0
0
4
16
16
16
16
16
16
0
4
0
0
16
16
0
0
8
0
16
0
13
0
8
8
8
8
1
8
0
8
49
57
49
1
0
4
1
1
1
8
8
8
8
16
4
8
8
0
0
0
0
0
0
0
0
1
24
24
24
0
0
32
32
32
0
16
16
4
8
4
0
0
8
0
8
0
0
16
0
16
0
0
0
8
0
0
16
16
0
8
8
0
8
0
0
0
0
0
0
0
4
0
16
16
0
0
0
0
0
0
25
0
0
4
4
4
4
1
0
8
4
16
8
0
0
0
8
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
17
17
17
17
17
0
16
0
0
0
20
8
8
8
17
8
0
0
2
0
0
0
0
2
0
0
0
0
0
24
1
18
0
8
16
0
0
16
1
48
4
16
0
0
0
0
16
16
16
16
0
0
0
0
0
0
24
24
0
0
48
48
8
0
0
1
8
0
4
4
0
0
0
0
16
0
8
25
17
17
17
17
0
8
8
2
8
0
32
8
8
0
0
8
4
0
0
0
0
0
0
0
16
4
4
0
4
4
0
8
1
1
1
1
0
0
1
1
8
16
20
16
8
8
12
8
0
0
8
0
0
8
0
0
0
0
8
8
0
0
24
4
0
16
8
8
16
4
0
0
16
0
2
2
0
32
0
34
0
0
16
16
16
16
16
12
18
0
8
16
8
8
8
8
8
8
10
2
8
2
0
0
0
24
0
0
8
0
8
5
5
5
8
0
0
0
0
17
0
0
16
0
0
1
24
24
0
8
0
0
0
0
8
0
16
0
16
0
0
2
2
2
0
0
9
9
1
0
4
16
16
8
16
16
0
0
16
16
16
8
0
32
8
8
0
16
16
4
4
0
0
0
8
38
8
8
8
1
1
8
8
8
8
8
0
0
0
4
0
0
0
8
0
0
4
0
0
0
0
0
0
0
16
16
0
0
0
0
8
0
0
0
8
8
0
16
16
16
16
0
0
0
0
0
8
8
0
16
8
0
0
0
0
0
0
0
8
0
0
0
0
0
0
8
8
0
0
8
8
16
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
1
1
1
0
16
16
8
8
24
16
25
25
25
25
16
4
4
0
0
0
0
0
0
0
1
8
8
8
8
0
0
16
16
16
16
16
24
0
0
45
9
1
1
0
0
0
16
16
0
0
0
0
0
0
8
0
8
8
8
0
0
0
12
12
0
0
0
0
0
0
0
0
24
24
0
0
0
0
16
0
0
16
16
8
8
0
24
2
2
0
2
8
0
0
0
0
1
1
1
8
8
24
0
1
1
0
8
8
8
8
0
0
0
0
0
0
1
1
1
8
32
32
16
2
16
16
16
16
0
0
42
0
0
0
8
8
8
0
0
12
0
0
0
0
0
0
32
0
0
0
8
0
2
0
0
0
2
0
40
0
16
16
16
16
20
32
4
0
8
8
8
3
3
16
8
2
16
0
0
0
1
5
5
16
12
24
0
24
0
0
8
0
0
0
0
0
0
0
24
16
0
0
16
16
16
8
0
8
0
0
16
0
0
16
8
8
0
2
2
2
2
0
0
0
0
0
17
16
0
0
0
4
4
4
16
16
1
0
4
0
0
0
17
16
0
0
0
8
0
0
0
0
8
8
8
0
0
0
0
0
0
4
8
1
1
0
8
8
8
0
8
1
0
0
0
16
0
0
0
16
16
16
0
0
4
25
0
0
8
0
0
8
2
0
0
0
2
0
8
0
0
0
1
0
16
16
2
8
8
0
0
16
0
0
2
2
0
0
20
4
4
0
0
8
2
16
16
0
0
0
0
0
4
17
16
16
8
20
20
0
0
48
32
1
0
1
16
16
32
32
32
0
8
0
8
0
0
0
8
8
8
4
2
2
0
12
16
16
0
0
16
16
0
16
16
10
8
8
0
0
0
8
0
0
0
0
0
16
16
16
8
8
8
8
3
8
0
0
0
0
0
0
0
0
26
16
2
1
1
0
0
16
2
0
4
0
6
6
0
0
0
0
9
0
0
32
0
0
24
17
8
0
2
2
2
0
0
4
0
8
8
16
16
8
0
0
0
0
0
0
8
1
8
8
8
0
8
0
0
56
6
6
17
16
0
16
16
8
16
0
0
0
0
0
0
0
0
0
2
2
2
2
0
0
0
4
16
0
2
0
0
8
0
16
0
18
0
0
0
4
4
4
0
16
16
0
8
0
8
4
0
8
8
8
8
8
8
8
8
8
0
0
0
24
0
8
8
0
0
0
0
0
0
0
0
0
0
24
0
0
16
1
1
0
0
32
32
32
0
0
0
0
8
19
21
0
0
0
24
24
24
0
0
0
0
0
16
16
16
0
0
12
12
1
1
16
1
8
8
0
0
0
8
8
8
8
0
0
1
0
0
0
33
1
1
0
2
0
8
8
8
0
0
0
0
2
2
0
0
4
8
0
0
16
16
16
1
8
0
2
0
4
4
0
0
8
8
2
32
0
0
0
0
0
0
8
0
0
0
0
4
0
2
10
2
0
16
2
2
0
8
8
6
0
0
0
0
0
0
8
8
8
8
8
8
8
0
0
0
48
48
48
48
12
0
0
16
0
16
0
0
16
8
8
8
6
6
0
0
0
0
8
0
8
8
8
8
0
0
0
0
0
1
1
1
16
0
0
0
8
0
16
8
0
0
0
0
0
0
0
0
32
0
8
0
0
16
16
16
8
0
1
16
16
0
0
0
16
0
0
0
0
0
0
0
16
16
16
4
0
0
2
0
0
0
0
0
32
0
0
8
8
0
0
18
18
4
0
0
0
4
0
0
0
16
16
0
4
4
12
12
12
8
8
8
8
23
48
16
0
2
0
8
0
25
0
0
0
0
0
0
0
0
18
0
0
16
4
4
0
0
0
0
24
0
0
0
0
0
24
24
0
8
1
1
0
0
0
8
0
0
0
2
0
0
0
4
4
8
8
8
8
8
8
0
0
0
0
0
0
0
20
8
24
2
0
8
8
0
2
18
18
8
0
8
8
8
16
4
0
0
0
16
12
0
1
12
12
12
0
0
26
14
0
24
8
0
0
8
8
18
18
0
0
8
8
0
0
0
16
16
16
16
8
4
4
4
4
0
0
0
0
0
8
0
0
0
10
1
0
0
0
8
0
1
4
0
4
4
0
0
0
1
0
24
8
16
24
24
0
0
1
1
4
4
4
16
16
16
16
16
0
0
8
4
0
16
16
0
0
8
0
0
16
32
4
4
9
0
16
16
16
16
16
16
8
0
0
0
0
0
0
16
8
8
24
0
8
0
0
24
8
0
8
0
8
1
0
0
0
8
0
8
0
0
16
0
8
8
8
8
8
4
4
58
8
48
0
0
0
0
16
16
0
17
0
0
24
0
0
0
0
2
8
8
1
0
16
4
0
9
0
8
32
4
4
0
0
0
0
1
8
0
0
16
8
5
16
24
0
0
4
4
0
2
24
24
24
24
24
24
24
24
0
1
16
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
16
0
0
1
0
16
16
16
0
16
1
16
0
2
0
8
2
1
4
0
16
0
0
16
0
0
0
32
0
8
8
2
8
8
40
40
8
32
32
0
8
0
0
38
38
38
0
0
0
0
0
8
8
8
24
16
16
8
8
8
0
0
0
0
0
0
0
0
0
0
1
18
18
18
0
0
0
0
0
4
16
16
0
16
8
16
2
25
25
0
8
8
0
0
0
0
0
0
8
0
0
0
6
0
0
17
1
0
8
8
8
8
8
8
8
2
0
0
0
0
0
0
0
16
8
32
32
0
0
4
8
8
8
4
4
4
0
0
0
0
0
1
0
18
0
0
8
0
0
0
16
17
4
4
0
20
20
6
16
24
8
24
0
0
24
0
4
24
0
16
4
4
16
16
16
16
0
0
16
16
8
8
8
0
0
0
0
16
16
16
0
0
32
8
8
8
0
0
0
2
2
0
28
28
10
0
8
0
33
33
16
0
0
0
0
8
0
0
0
0
0
4
0
0
4
4
0
0
1
0
0
16
16
16
8
8
4
8
8
16
0
0
8
8
8
0
16
16
0
0
16
16
16
0
8
0
0
0
18
18
4
0
32
32
32
0
0
4
9
8
8
16
26
10
0
0
0
28
0
0
0
16
16
16
16
16
16
16
16
20
4
8
16
2
16
8
8
8
0
8
8
6
8
0
4
8
8
8
8
8
8
8
0
8
0
4
0
1
1
1
0
0
8
24
24
4
16
16
0
0
0
0
16
1
1
1
8
0
0
0
0
0
0
0
0
32
0
32
0
16
16
16
16
0
0
0
0
0
0
0
0
2
2
2
2
2
0
5
0
12
4
8
0
17
17
16
16
8
8
8
0
0
0
0
10
0
0
16
16
8
16
0
16
0
8
8
1
0
0
0
0
12
8
2
0
0
0
0
0
0
0
0
0
16
8
8
8
8
8
8
0
0
0
0
0
8
0
0
0
0
16
16
0
0
8
8
8
0
0
0
22
0
0
0
0
2
0
0
8
16
16
0
16
16
0
0
0
0
16
4
4
8
0
0
0
8
8
8
4
4
4
0
0
0
0
0
0
0
0
0
0
12
0
4
8
24
0
0
4
0
1
1
0
0
8
8
5
8
0
4
0
0
0
9
0
0
0
0
0
8
8
8
0
0
1
1
1
1
1
1
8
3
3
2
2
8
0
0
0
0
0
0
0
0
8
8
8
16
1
32
32
4
0
8
8
8
8
0
0
0
16
16
16
16
16
8
8
8
8
8
0
0
12
0
0
0
0
4
4
16
0
16
4
40
40
17
0
8
8
0
0
0
0
8
8
0
0
4
8
8
0
0
4
8
16
0
0
8
8
8
8
51
0
0
0
0
12
0
12
12
12
12
16
0
0
0
0
1
24
24
0
8
0
16
0
0
0
0
8
0
0
0
0
0
0
0
0
0
1
1
16
1
0
0
0
0
9
2
2
20
20
0
10
0
0
8
8
0
0
0
0
0
0
0
4
4
8
16
0
0
0
0
0
4
0
0
0
0
1
0
0
8
16
16
16
16
16
16
0
0
17
17
17
17
24
0
16
16
4
1
1
24
8
0
0
0
0
32
2
1
0
0
0
0
1
8
8
8
8
8
8
8
2
0
0
0
0
0
8
16
16
4
8
8
8
0
0
16
0
0
8
16
16
16
8
8
0
0
0
0
8
20
16
16
0
2
2
0
23
8
8
8
0
8
8
0
0
8
0
4
0
0
0
0
0
0
16
8
8
0
32
18
0
16
16
0
4
0
0
0
8
8
8
0
4
0
12
12
12
0
0
2
2
0
0
0
0
0
0
0
16
0
0
12
12
1
1
0
8
16
16
8
8
0
24
8
0
0
0
0
0
16
0
16
0
8
4
0
0
0
0
0
16
16
16
0
20
0
8
8
1
31
16
0
0
16
16
16
16
16
0
0
8
8
16
16
16
1
0
8
1
4
8
8
0
8
16
16
0
8
0
0
16
0
8
25
25
25
0
0
0
0
8
0
36
0
0
16
0
8
5
8
8
8
8
0
8
8
8
1
1
1
1
1
0
0
0
8
0
25
0
8
8
8
8
0
16
16
0
20
16
8
0
0
0
8
0
12
4
4
16
8
8
8
8
4
4
4
8
8
8
8
1
4
8
8
0
0
0
0
2
2
2
0
0
2
16
0
25
4
16
0
32
8
8
8
16
8
0
16
4
8
0
0
0
0
0
0
8
0
0
4
4
16
0
0
1
1
0
0
0
0
2
1
1
1
1
8
0
24
8
2
0
32
32
16
16
0
0
0
0
0
0
8
0
0
0
4
0
2
4
0
0
0
0
0
0
0
12
12
0
8
8
16
8
4
4
8
2
2
24
16
0
0
0
0
8
8
0
16
0
8
8
8
0
0
8
0
0
0
16
0
32
0
0
0
0
40
0
0
0
0
2
4
4
8
16
20
0
0
4
0
0
0
0
0
0
16
4
0
8
0
16
16
16
16
0
0
0
0
0
0
0
16
8
0
0
0
16
0
0
0
0
0
0
0
4
4
4
0
18
0
42
8
8
8
8
0
0
0
0
0
24
12
8
40
4
4
0
0
16
0
0
0
0
0
8
6
6
0
32
16
0
8
8
4
4
8
16
16
16
0
24
16
4
0
34
34
0
0
8
0
0
0
16
0
16
16
16
8
0
0
0
4
0
0
0
1
1
3
3
0
0
8
16
16
0
0
0
1
0
32
0
0
0
0
0
4
4
0
2
4
24
12
12
12
8
0
8
8
8
0
0
8
8
8
8
18
0
0
8
0
0
0
0
0
16
18
8
2
16
8
0
0
18
0
0
0
2
16
0
8
8
0
0
8
0
8
1
1
1
0
4
0
0
0
0
0
8
32
10
48
48
8
0
0
0
0
32
16
8
8
16
0
1
0
0
0
0
0
0
32
0
1
8
8
0
0
16
16
16
8
8
0
0
0
8
0
0
0
32
32
4
20
20
20
20
20
20
20
20
20
20
20
0
16
2
0
13
13
13
13
13
13
13
0
1
1
8
0
0
0
0
0
2
16
8
8
8
0
16
16
0
8
8
2
0
0
0
0
0
0
0
0
4
4
16
0
8
4
4
8
8
8
8
0
0
0
4
4
4
0
2
2
0
0
8
0
4
0
16
0
0
0
0
0
0
1
1
52
0
0
8
8
0
4
0
0
8
0
0
0
0
4
4
4
8
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
1
0
0
0
16
1
1
16
25
0
0
0
0
6
0
0
8
0
0
0
0
0
0
0
16
0
8
16
16
16
0
0
0
1
1
1
0
16
16
0
2
16
0
0
1
1
1
0
0
16
5
8
2
0
0
0
0
0
0
0
0
24
8
8
8
1
1
16
16
16
0
0
0
0
0
0
0
0
0
0
0
19
8
8
8
8
0
0
0
0
0
0
0
0
0
2
16
32
8
8
1
0
0
25
25
1
20
4
8
8
8
16
1
1
0
0
1
8
0
0
8
0
0
1
1
32
32
4
0
6
0
0
4
0
0
0
24
0
0
0
16
0
0
8
8
8
0
0
0
0
1
4
0
0
0
0
0
17
16
4
0
0
8
2
2
0
0
0
16
0
0
8
8
8
0
8
0
0
8
8
0
0
8
8
8
16
1
1
0
0
0
0
0
0
0
0
0
0
0
2
48
48
48
48
4
8
0
0
0
0
8
0
0
8
0
1
4
0
0
8
0
0
8
16
16
16
1
1
8
0
4
0
0
0
16
16
0
0
8
8
8
2
16
0
0
24
0
16
16
0
0
0
0
8
8
0
0
0
0
0
0
1
0
32
4
4
8
0
0
2
2
8
8
8
16
16
25
0
16
0
0
0
0
14
16
0
1
1
1
1
1
0
0
0
0
0
0
0
1
8
0
0
0
0
0
16
16
16
16
8
4
0
2
2
0
0
8
8
8
8
0
0
2
8
8
8
8
8
0
16
12
12
8
0
16
8
0
0
8
8
0
1
16
0
0
16
4
4
0
8
8
8
8
9
24
24
24
8
2
0
0
0
0
2
0
0
0
0
2
8
4
4
4
4
16
8
8
0
0
0
0
0
16
1
4
0
0
8
2
16
0
16
16
16
0
3
8
8
2
2
0
0
16
2
2
2
0
0
12
12
12
0
4
0
0
16
0
0
0
0
32
0
0
24
0
0
0
8
8
8
33
10
1
0
8
8
0
0
0
16
0
0
4
8
8
8
4
0
16
2
2
0
8
2
8
8
0
0
0
0
0
0
1
0
32
1
0
0
8
8
8
8
0
8
8
8
0
24
8
8
0
0
0
17
16
16
52
0
0
8
8
8
8
8
16
16
0
4
1
16
16
6
8
8
24
0
8
2
2
0
0
8
0
2
8
8
0
0
0
0
0
0
0
8
0
0
0
1
0
0
0
0
8
0
0
0
0
0
0
0
0
0
24
0
0
0
2
16
0
0
16
4
16
16
0
16
16
1
8
8
8
32
32
0
0
0
17
0
0
48
0
8
8
3
2
0
0
0
0
0
2
32
32
9
0
2
0
0
32
8
8
16
16
16
16
2
2
0
0
0
0
27
27
27
0
16
17
0
1
1
1
8
27
27
8
1
1
0
0
8
1
8
8
57
57
57
57
57
0
0
0
0
8
16
16
16
16
2
0
8
4
8
0
0
0
16
16
8
8
4
8
8
8
8
8
8
18
0
0
0
0
0
0
0
0
8
8
2
2
0
0
16
8
8
8
0
0
8
8
0
0
16
0
0
0
0
24
11
8
0
0
8
20
8
8
8
8
8
8
1
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
16
16
0
8
8
0
0
0
0
0
16
0
0
0
0
16
8
1
4
4
22
22
4
4
0
1
0
0
0
0
0
0
0
0
0
0
0
32
12
8
8
24
8
4
10
10
0
0
0
0
0
16
16
16
4
2
2
0
4
0
8
0
0
3
0
0
0
0
0
8
8
8
0
16
32
32
14
14
14
14
48
0
0
0
16
0
0
3
0
8
8
0
8
8
8
1
0
20
20
20
8
0
4
12
1
8
8
8
0
16
43
41
4
0
0
0
0
0
4
4
0
17
0
0
17
1
0
0
0
8
0
0
16
16
16
0
8
1
0
4
8
8
8
8
0
24
8
0
0
0
16
0
8
8
0
0
8
8
7
0
0
0
0
4
16
16
16
0
2
8
8
8
1
1
1
1
8
8
8
0
0
0
0
0
0
0
0
0
8
1
1
8
8
0
16
1
8
8
0
8
2
17
0
0
0
16
20
20
2
4
25
1
0
0
0
16
16
16
16
16
16
0
12
12
8
16
0
8
8
8
8
0
8
2
0
0
0
8
8
0
16
16
0
0
0
0
16
16
16
16
16
0
24
0
0
8
32
0
4
4
4
8
0
0
0
0
0
0
4
4
16
16
16
16
25
25
6
6
0
16
25
0
8
0
12
8
0
16
16
8
8
8
0
10
8
16
2
2
0
8
52
52
0
4
4
16
0
0
0
0
0
0
4
4
4
0
0
0
0
0
0
0
0
0
16
0
0
8
8
0
0
8
8
0
16
16
16
1
1
16
16
16
16
16
16
16
16
16
16
16
16
16
2
2
16
16
16
0
0
8
0
0
16
1
0
0
0
4
4
25
25
0
0
0
0
0
0
0
16
0
0
22
22
22
22
0
0
0
0
0
4
4
16
16
16
16
16
4
4
0
0
40
0
4
0
25
0
0
0
16
8
8
1
1
8
0
2
2
2
0
8
16
0
0
0
0
0
0
0
12
8
0
0
4
0
17
17
17
17
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
20
20
20
0
0
0
16
16
0
0
0
8
8
8
16
0
8
8
12
12
2
8
8
16
4
4
1
16
0
25
16
16
0
8
0
8
16
0
0
0
1
0
8
16
0
2
9
8
8
1
1
8
8
0
16
16
0
0
16
0
0
0
0
24
24
24
0
16
4
16
0
0
0
0
0
0
4
0
16
22
16
0
0
0
0
32
16
16
16
0
45
20
0
0
4
0
16
16
16
16
24
0
0
0
0
8
0
0
0
16
8
9
8
8
8
8
8
8
2
0
8
16
0
0
0
8
0
2
8
4
30
30
1
1
1
1
1
1
8
8
8
0
0
2
0
0
0
8
8
0
8
8
8
0
0
0
0
0
1
1
0
8
8
8
8
4
4
0
33
0
16
0
18
18
0
1
26
0
4
0
0
4
0
8
0
0
0
4
0
0
4
2
25
1
16
16
0
0
0
16
28
12
0
8
8
2
0
0
0
0
8
8
4
5
5
4
8
8
0
4
0
0
1
0
0
0
16
0
0
4
0
0
0
0
8
16
0
0
0
32
32
0
0
0
0
0
0
10
0
0
24
24
0
16
16
16
16
0
8
9
0
16
8
6
0
8
0
0
4
4
4
8
8
4
4
4
4
0
0
0
16
16
0
0
0
0
8
8
0
1
2
2
2
0
2
24
1
0
0
1
0
16
0
32
0
8
8
8
16
16
16
32
4
0
8
16
0
1
0
0
4
0
0
8
16
16
0
0
0
18
0
0
8
12
0
0
0
0
0
4
4
0
0
0
0
1
0
0
0
32
32
32
32
32
0
0
0
8
0
0
8
1
8
8
8
8
0
0
8
0
0
16
16
8
18
0
0
0
0
0
0
4
8
16
16
0
0
8
7
7
7
32
32
8
8
0
24
16
8
0
8
8
0
0
0
0
16
6
6
2
8
8
8
0
0
25
0
0
0
0
0
0
0
16
0
8
16
1
1
16
16
16
16
16
0
2
16
16
16
16
0
8
33
8
8
0
16
16
16
0
0
0
8
8
0
0
0
0
0
0
16
16
0
16
4
4
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
8
8
0
8
0
0
2
0
0
0
0
0
0
4
0
0
16
16
8
8
0
0
16
1
1
8
0
2
0
0
0
8
8
2
40
0
16
4
0
0
16
0
16
16
6
6
0
2
16
2
1
1
0
0
0
48
0
0
0
0
0
0
0
16
16
0
0
8
16
16
0
0
0
8
1
0
0
8
0
0
0
4
4
4
0
24
16
16
8
16
16
16
0
0
0
0
16
1
1
1
16
0
0
20
26
0
0
16
0
8
0
0
8
0
8
0
16
16
0
24
16
0
0
4
4
0
0
1
0
16
17
8
8
8
24
24
0
0
0
0
29
1
1
0
0
0
4
4
40
57
57
57
8
0
0
0
0
0
0
0
0
0
24
24
4
8
0
21
0
0
0
8
2
0
0
0
0
16
0
0
0
16
2
0
0
16
0
0
0
0
0
0
0
8
4
4
8
0
1
1
0
0
8
0
8
32
8
8
0
25
25
8
0
8
4
4
4
4
4
4
4
4
4
4
4
4
4
4
1
1
8
25
25
0
0
0
16
0
0
0
0
8
8
8
0
16
0
0
0
0
0
0
0
4
4
4
4
4
4
0
16
8
25
25
25
29
16
0
16
4
26
32
0
8
12
12
12
0
0
0
8
4
0
0
0
0
8
8
8
1
0
0
8
0
0
0
0
0
0
0
0
4
20
2
16
16
0
16
16
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
6
6
4
4
4
12
0
0
8
24
0
16
0
8
8
0
0
8
16
40
2
2
1
0
8
0
16
0
0
16
16
8
0
0
0
1
0
0
0
8
0
0
1
24
0
8
2
8
8
8
0
0
0
23
0
0
0
0
0
0
2
16
16
16
16
30
30
30
0
16
0
0
0
0
4
4
8
8
29
16
0
0
0
25
24
8
24
24
0
8
8
16
16
8
8
16
0
0
24
4
4
16
16
0
8
0
0
0
2
0
16
8
0
0
0
25
25
0
8
0
0
0
14
0
0
38
20
0
0
0
2
8
0
8
8
17
2
0
0
0
0
0
0
0
0
0
0
32
0
0
32
0
8
8
0
0
0
0
0
0
0
0
0
0
17
17
17
0
1
0
8
8
16
1
4
4
0
16
16
8
8
0
0
0
8
8
8
0
0
8
12
0
8
2
0
0
0
0
4
0
0
0
16
4
4
4
0
0
0
0
1
1
8
0
3
0
8
0
4
4
4
4
0
8
0
0
2
0
0
0
0
0
0
16
4
1
1
0
24
0
8
0
0
8
0
0
8
8
8
8
4
4
4
0
0
17
0
0
8
0
8
16
16
0
16
0
0
0
4
4
2
2
8
8
0
4
4
12
12
4
12
0
0
0
0
0
0
0
2
16
0
0
2
1
16
34
34
0
0
8
0
8
8
8
0
0
0
1
0
0
0
0
16
0
0
0
8
1
0
0
0
4
1
0
8
2
0
16
16
0
8
8
0
2
0
16
8
8
0
0
0
0
8
8
3
3
3
0
0
0
0
0
2
16
8
8
8
6
6
6
0
0
0
0
0
0
0
0
0
8
0
16
16
40
0
8
12
8
8
0
24
24
24
24
24
24
24
24
4
0
0
0
1
0
0
0
4
0
25
16
8
8
4
4
16
16
16
16
17
0
1
0
0
0
0
0
1
1
8
8
0
0
0
0
16
0
32
0
0
0
0
24
0
0
0
0
8
8
1
0
0
0
16
0
24
0
0
0
0
2
0
12
0
4
0
0
0
0
0
0
0
0
4
0
8
0
0
0
16
0
32
32
1
1
2
2
9
1
0
0
0
0
8
0
10
0
9
9
0
16
20
20
8
0
0
8
1
16
16
16
16
0
4
8
0
0
0
0
9
0
0
0
0
0
0
0
0
1
8
0
0
0
8
8
8
8
0
8
25
44
0
4
0
16
3
0
16
16
16
7
0
0
0
2
8
24
4
0
16
8
1
1
2
2
8
8
8
1
1
0
0
0
0
0
0
0
0
0
16
8
6
4
0
2
2
32
1
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
16
0
0
0
0
0
0
0
0
0
16
0
0
0
8
8
0
0
0
0
16
7
7
7
0
0
0
8
8
16
8
0
0
24
0
11
0
0
0
2
2
2
2
8
1
16
16
16
0
0
8
2
0
16
8
8
8
8
0
32
16
0
1
8
0
0
0
0
0
0
16
16
10
16
20
8
8
0
0
16
0
24
16
16
16
16
0
12
12
12
8
0
2
0
0
8
0
10
10
24
0
0
0
6
6
16
16
0
0
0
0
0
0
2
36
36
0
16
8
8
8
0
0
8
0
0
0
17
0
0
0
0
0
0
0
16
16
16
16
20
0
48
0
0
0
0
8
8
0
16
0
8
2
0
0
8
0
0
0
0
0
0
16
0
24
24
24
2
16
24
0
0
0
17
16
16
1
0
0
0
9
8
0
0
16
16
8
16
16
16
8
0
8
0
16
16
1
1
0
16
16
0
8
0
0
0
0
0
0
0
16
0
0
0
0
0
8
16
0
0
0
0
16
16
16
0
4
4
4
8
8
8
21
8
0
32
24
24
0
0
0
0
0
0
8
8
8
8
0
0
0
1
8
32
32
0
0
0
32
0
0
0
4
20
0
0
16
16
16
48
20
0
0
8
4
26
0
0
0
0
0
9
8
8
0
0
0
0
0
2
16
0
0
16
16
0
0
0
0
0
0
0
16
16
16
16
0
0
0
0
4
0
0
0
0
0
0
0
16
16
1
0
0
4
8
0
0
12
4
8
34
34
10
0
0
0
0
0
0
0
4
0
16
16
0
0
0
0
0
1
4
0
0
25
16
24
16
8
0
0
0
0
8
0
0
0
0
0
4
0
0
0
8
2
16
17
0
0
0
0
0
0
16
4
16
8
0
16
16
16
8
8
16
39
0
32
24
0
0
14
14
1
0
0
0
0
0
16
1
0
8
8
16
2
4
16
0
24
4
4
4
16
16
8
0
0
0
0
0
0
1
20
2
2
0
0
0
1
0
8
0
0
8
0
0
8
0
8
1
1
0
0
0
0
8
25
25
8
0
0
0
0
4
0
0
8
0
0
20
8
8
0
22
8
8
0
0
0
40
40
40
0
0
0
0
40
16
2
0
0
0
4
4
0
8
18
0
0
0
16
16
8
0
0
0
0
16
1
2
0
8
0
8
0
16
0
8
0
8
8
0
0
8
8
16
16
16
0
8
2
0
0
0
1
1
16
0
0
0
8
8
20
0
8
16
0
0
0
8
8
16
8
0
0
1
1
1
0
2
12
0
16
0
0
0
0
0
0
24
0
0
2
2
2
2
2
2
2
0
0
0
34
34
17
17
17
17
0
0
8
0
4
8
0
0
2
8
8
8
4
4
0
2
0
4
4
0
8
20
20
0
1
0
0
24
8
16
0
8
0
8
8
8
8
8
8
8
0
0
0
24
0
0
0
40
40
0
0
0
0
0
0
2
2
0
16
16
16
0
16
32
32
32
32
0
0
8
0
4
4
4
24
8
0
0
48
0
0
9
16
16
0
32
4
0
0
0
0
1
1
0
0
0
8
8
0
0
0
8
0
0
16
0
1
1
0
8
8
8
8
8
8
8
0
8
8
0
0
8
8
8
16
16
2
0
0
16
0
0
0
0
0
0
8
0
2
2
2
4
0
0
0
0
0
0
14
14
14
14
0
0
0
0
0
4
0
0
0
0
2
0
8
4
4
17
0
4
4
0
8
0
16
16
0
0
0
0
0
0
0
0
4
4
4
0
16
16
0
16
16
16
16
0
0
0
4
0
0
16
16
0
0
0
16
16
2
0
8
8
0
0
0
16
0
2
0
1
8
8
8
2
1
1
1
0
8
8
8
8
32
32
32
32
32
32
0
4
5
1
0
0
0
0
8
0
0
16
6
0
6
0
4
8
0
8
8
8
8
0
0
0
0
0
2
0
0
16
0
0
0
8
0
0
0
0
0
0
0
16
16
0
0
8
1
0
3
0
0
0
0
0
52
52
16
16
16
16
2
8
4
4
14
0
0
0
0
0
0
8
8
8
0
48
48
48
48
9
9
0
10
4
4
4
4
16
16
16
0
0
0
8
2
2
0
8
17
17
0
0
0
0
8
0
0
4
8
48
8
8
0
0
8
0
0
0
0
0
0
0
24
0
0
0
0
0
0
0
0
0
0
0
0
4
2
0
0
0
0
0
1
1
1
1
0
0
0
0
0
0
0
1
8
8
8
8
8
16
5
5
0
8
0
2
0
0
8
4
8
8
0
0
0
8
8
16
16
16
0
0
8
8
8
0
0
0
16
0
0
0
16
8
8
12
1
1
0
0
0
1
8
2
24
24
0
0
0
1
1
1
0
0
0
1
0
17
17
17
3
3
3
3
3
0
0
32
32
32
0
0
0
8
0
8
8
8
13
16
8
32
32
32
0
0
0
16
0
0
0
0
8
8
1
8
8
0
0
0
0
1
0
0
0
0
0
0
2
16
16
16
16
16
16
16
0
8
16
16
16
32
32
4
4
16
16
24
24
18
18
8
8
8
0
16
0
0
0
0
8
8
0
16
16
16
0
0
0
0
0
32
0
1
1
2
2
8
8
16
16
0
0
0
0
0
0
0
32
16
8
0
0
0
0
0
16
0
0
0
16
8
8
4
4
28
2
2
0
0
0
8
0
0
0
40
8
8
8
8
0
0
0
37
4
0
0
0
16
8
8
8
8
0
16
24
24
16
18
8
8
0
0
0
0
0
8
16
8
8
8
8
0
16
16
16
16
12
16
0
4
4
4
0
1
0
1
0
0
8
8
0
0
0
0
1
16
16
1
1
16
0
0
0
0
0
0
8
8
8
8
8
8
0
0
4
4
2
0
1
8
0
0
4
0
0
0
0
32
0
8
0
0
8
35
0
0
2
16
2
0
8
8
8
11
0
0
24
8
8
0
0
0
0
0
0
0
4
0
0
24
0
16
16
16
0
0
0
0
16
16
16
0
0
8
4
0
0
8
0
0
0
0
8
8
0
0
0
0
8
6
2
2
2
0
0
0
0
0
0
0
0
0
0
0
4
8
0
0
24
24
24
16
16
8
0
0
2
2
0
18
18
4
4
16
8
0
0
0
0
0
0
0
1
16
16
24
24
0
17
16
0
0
0
0
2
0
0
8
0
8
4
0
0
0
0
0
0
0
8
24
0
0
0
0
20
0
0
0
0
1
1
1
8
0
16
16
0
20
24
0
0
8
20
20
2
0
0
12
0
0
0
0
0
8
16
0
8
0
0
0
0
0
8
0
4
0
0
1
0
0
0
0
0
0
8
8
8
0
20
16
0
4
0
0
0
0
8
8
8
0
0
8
0
4
0
8
1
1
0
0
16
50
50
4
5
5
0
0
8
8
0
0
4
0
16
8
8
8
8
8
8
0
1
0
0
8
8
0
8
0
0
0
0
0
0
0
0
0
0
4
0
0
4
16
0
2
0
0
8
8
0
0
0
0
8
1
8
1
1
16
26
0
0
0
0
0
1
4
4
8
0
0
8
8
16
16
8
0
0
0
0
0
0
16
0
0
48
18
1
32
8
0
0
0
0
0
4
4
16
0
2
0
8
0
1
8
8
0
0
0
8
0
0
1
7
0
8
8
0
8
16
0
0
18
18
18
0
0
0
0
0
0
0
0
16
8
0
8
16
16
16
16
8
1
1
16
0
1
1
1
16
0
18
0
0
0
16
0
8
8
0
0
0
0
0
0
0
0
0
0
0
16
4
0
0
0
4
4
1
1
16
8
0
1
1
16
8
2
2
2
16
16
16
16
16
0
0
0
0
0
17
17
56
8
0
0
0
8
8
0
0
0
8
4
35
0
16
8
0
4
0
8
8
8
0
0
4
4
18
16
16
16
16
16
0
0
0
8
0
0
0
0
32
0
0
0
24
16
16
56
4
0
8
8
0
0
0
0
0
0
8
0
0
16
16
0
0
0
0
32
32
32
2
2
4
2
2
24
24
0
0
0
0
0
3
3
16
16
0
0
0
16
16
16
24
0
0
0
16
0
16
24
8
40
2
0
0
0
0
2
0
0
0
0
16
1
1
0
0
0
0
0
0
0
0
0
16
16
16
0
16
16
8
0
0
16
1
4
0
32
32
16
4
16
2
0
0
0
0
0
0
0
8
16
0
4
4
0
0
0
0
1
0
8
8
8
8
8
8
8
8
0
0
0
16
8
8
0
0
0
0
0
32
0
4
0
0
16
0
4
0
8
2
0
4
4
2
0
16
16
0
0
0
1
1
8
1
0
8
8
8
0
0
8
8
16
16
16
4
0
8
8
0
8
0
0
0
0
0
0
0
25
0
16
16
8
16
16
16
8
0
18
18
1
1
2
2
4
4
0
0
0
0
0
0
0
0
0
0
4
4
4
8
0
0
0
4
4
0
16
16
18
8
4
4
4
8
0
0
4
16
0
0
0
8
8
16
8
0
0
0
0
0
0
0
16
0
0
8
0
0
0
8
0
0
0
0
0
0
0
2
0
0
8
0
8
8
2
2
0
0
0
8
0
0
0
4
4
8
32
0
0
16
20
20
20
20
20
0
0
0
0
5
5
8
8
0
0
8
0
0
0
0
8
8
4
8
0
0
0
0
0
8
8
0
0
8
8
8
8
18
0
8
8
0
4
12
8
8
8
8
16
0
0
16
0
0
0
0
0
0
4
8
49
16
8
16
0
0
0
0
0
8
8
0
16
0
8
8
0
0
0
12
0
0
8
16
1
2
4
0
0
0
8
0
0
0
4
4
4
0
0
0
0
0
8
0
2
2
4
4
4
16
16
0
0
0
0
8
8
8
0
0
0
0
0
24
24
0
1
0
8
8
0
16
16
0
0
0
0
0
0
0
0
16
0
0
0
24
16
1
16
8
0
0
4
0
0
0
0
0
0
0
0
0
0
8
8
0
0
4
0
0
0
8
8
8
8
16
0
0
0
0
2
2
2
0
4
0
0
2
0
0
16
16
4
4
4
4
4
24
24
0
8
8
0
0
0
20
0
0
6
8
8
0
8
0
0
0
0
8
0
4
5
5
24
0
2
0
0
0
8
0
0
16
18
0
17
0
0
0
0
0
0
0
0
0
0
0
12
12
0
0
8
2
0
18
18
8
8
16
16
8
0
0
0
16
16
16
20
20
1
0
0
0
0
0
17
2
0
16
0
0
8
8
0
28
5
0
8
40
2
2
8
0
0
10
10
1
1
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
8
8
8
8
0
0
0
0
0
8
1
24
0
16
4
4
0
0
0
24
24
0
3
0
0
0
0
2
4
4
4
0
4
4
4
4
0
0
21
21
21
21
8
8
8
8
17
17
0
25
25
9
1
1
1
0
0
0
24
24
0
0
0
0
0
0
0
0
40
8
4
0
10
0
0
8
8
8
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
16
0
0
0
0
0
16
0
0
0
0
32
32
48
32
32
0
0
16
16
16
0
0
18
18
0
0
4
16
0
0
18
0
0
0
0
0
0
0
0
8
0
0
1
8
0
4
0
0
16
16
16
16
16
16
0
0
0
0
0
16
16
16
0
0
0
24
16
16
0
0
1
0
0
0
0
0
8
0
0
1
0
4
4
8
0
8
8
8
8
2
2
0
0
0
16
16
0
32
32
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
1
1
1
1
0
0
0
0
8
16
0
0
0
0
0
0
0
8
8
8
8
8
8
1
4
4
4
16
4
2
2
16
16
17
24
9
9
28
29
8
8
16
16
24
8
3
28
4
4
4
0
0
0
0
16
16
16
32
32
0
0
0
0
0
0
0
0
2
2
2
48
48
48
48
8
16
0
8
0
0
0
0
0
0
0
0
0
0
8
8
8
0
8
4
4
8
8
8
4
0
0
0
0
32
32
32
0
1
0
1
1
8
8
16
16
0
0
0
0
0
0
8
9
8
0
2
1
0
0
0
0
16
16
16
16
8
8
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
16
0
0
0
0
0
2
8
16
0
8
0
0
0
4
56
56
8
8
0
8
10
2
0
0
8
16
16
16
1
8
8
0
4
4
8
1
1
0
0
0
0
9
9
0
16
8
0
0
0
0
8
8
2
0
8
0
40
0
0
8
1
1
1
0
0
8
2
2
2
2
8
0
0
4
4
4
8
8
8
8
8
8
8
4
0
16
0
0
8
16
8
0
0
0
8
0
12
12
0
0
0
8
8
8
8
8
16
8
8
2
18
0
4
4
4
4
16
16
8
8
0
16
16
16
16
1
0
0
8
0
0
0
0
0
16
0
0
0
0
16
0
0
16
16
0
16
16
0
16
12
12
1
0
8
40
40
8
8
0
0
14
14
14
8
0
0
16
0
0
16
0
0
4
0
4
8
0
0
1
1
1
1
0
0
0
2
3
8
0
0
0
8
8
8
8
8
4
8
8
0
8
8
8
0
0
8
5
5
5
0
0
8
24
0
12
16
16
16
0
0
1
0
0
16
0
0
0
0
0
0
26
0
0
0
8
8
2
0
16
0
4
4
0
8
8
16
16
0
1
1
8
1
0
16
17
8
8
0
0
0
0
8
8
8
8
8
8
14
16
0
0
0
8
0
0
0
16
4
4
12
12
0
0
0
16
0
0
0
0
0
0
4
32
32
32
32
0
0
0
0
0
1
1
0
0
32
32
32
32
8
8
8
8
0
10
8
8
0
0
0
8
0
1
0
0
0
16
56
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
16
16
8
16
16
16
16
24
0
8
0
0
8
8
8
0
8
8
8
8
8
8
8
0
0
0
0
16
0
8
8
16
16
0
0
0
16
1
1
1
1
0
0
4
0
0
4
0
0
0
4
8
0
8
0
0
0
0
0
0
0
0
0
8
0
4
4
4
0
0
1
16
16
0
0
0
0
8
9
0
0
0
0
0
16
16
28
7
4
0
0
0
16
0
0
0
0
0
0
0
8
8
0
16
0
8
8
8
0
0
0
0
8
0
0
0
0
0
0
0
8
0
0
0
0
8
0
0
8
0
32
8
21
0
0
0
0
0
0
0
16
0
0
0
0
0
8
8
8
8
0
0
16
8
8
0
0
0
16
16
16
16
16
0
24
16
16
8
0
0
24
0
0
0
16
16
4
0
0
0
0
8
0
8
0
0
0
0
0
0
0
0
0
0
16
16
8
8
8
8
16
16
0
1
8
0
0
0
0
8
8
8
16
0
0
0
0
0
0
8
22
0
1
0
24
24
16
0
0
2
56
24
16
0
0
0
0
0
0
0
0
16
16
4
4
8
8
8
8
8
8
0
16
16
0
8
16
0
0
0
8
8
0
0
0
4
4
4
0
0
24
24
0
20
20
4
2
2
2
0
0
0
0
0
0
1
0
16
0
8
8
0
3
0
1
0
0
0
0
0
16
4
0
25
0
0
0
0
8
0
0
4
0
0
8
0
16
16
0
8
8
8
8
32
32
8
8
0
0
8
1
0
7
7
18
0
0
0
0
16
0
16
16
24
24
24
24
0
8
8
4
4
0
21
4
8
8
8
4
4
0
8
20
20
20
0
50
50
0
8
0
42
2
2
2
0
0
8
8
8
0
8
16
16
16
16
16
0
0
8
16
8
8
8
8
8
8
8
8
1
0
20
32
8
16
16
16
16
0
0
0
0
0
5
1
0
0
8
0
16
0
4
4
16
16
0
0
0
0
0
8
8
8
24
0
0
0
0
16
8
0
42
0
24
0
0
0
0
0
0
0
0
0
16
0
8
4
16
0
40
40
8
0
16
16
0
8
0
8
0
18
0
2
0
2
4
4
0
24
24
24
0
0
0
1
1
4
8
0
0
0
1
0
0
0
8
0
0
0
1
2
0
16
0
0
0
16
0
0
0
0
24
0
0
16
16
0
0
0
9
9
0
16
4
4
4
4
8
8
16
16
16
16
16
0
8
0
1
24
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
8
0
0
16
4
16
0
16
8
2
24
0
0
0
0
0
0
0
0
0
1
1
8
8
2
2
2
2
0
0
0
0
0
8
0
0
3
0
8
0
0
24
24
0
16
16
0
8
8
1
32
16
0
4
8
8
8
2
0
17
17
0
8
8
0
0
0
0
12
12
0
0
0
0
0
8
0
0
0
8
9
9
9
9
0
0
0
8
0
16
0
0
0
16
8
8
16
0
8
8
32
0
0
16
16
18
16
8
0
0
0
8
0
0
1
1
1
0
0
8
0
0
0
8
8
0
0
8
8
8
33
0
2
0
0
0
0
8
8
34
16
0
0
0
8
0
8
8
8
8
16
0
2
44
0
0
0
0
0
20
0
21
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
33
33
8
17
1
0
0
8
1
8
8
1
16
26
26
0
8
0
1
0
4
0
0
4
4
0
1
0
0
24
0
16
16
0
8
0
0
0
20
20
16
17
0
0
6
2
0
16
0
0
4
16
0
32
0
0
0
0
1
8
16
0
8
8
12
16
8
0
0
16
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
2
0
16
16
16
16
16
48
26
26
0
0
0
4
0
0
0
0
4
8
8
0
0
0
8
0
0
0
2
4
8
8
0
0
8
1
0
2
2
16
1
1
16
0
12
4
8
0
0
0
1
0
2
0
4
12
8
8
0
3
0
41
41
4
11
16
16
0
0
8
20
4
0
10
1
16
0
16
0
0
0
0
2
2
2
16
0
1
4
4
0
16
8
8
8
7
7
8
8
8
8
0
0
0
0
0
4
4
20
16
16
8
32
1
1
0
2
0
16
8
4
0
8
8
8
8
48
8
8
8
8
8
8
0
8
16
4
16
2
20
20
16
16
0
4
0
0
0
0
0
0
0
0
0
0
16
0
0
8
8
8
0
8
0
0
8
0
0
16
16
16
16
8
32
0
16
49
49
49
8
0
0
16
0
1
8
0
0
16
16
0
8
0
0
32
0
0
1
2
16
0
0
24
16
0
12
2
2
0
0
32
0
16
0
0
24
0
0
0
16
0
16
0
0
0
24
0
16
8
8
16
16
16
0
24
16
16
16
4
4
0
0
8
8
8
8
8
0
16
8
16
0
4
4
0
0
0
1
0
0
0
0
0
0
8
0
0
0
0
0
0
8
12
8
8
8
0
0
24
0
24
8
8
0
0
0
8
0
0
0
0
0
16
0
8
8
8
16
16
0
8
0
0
8
1
16
16
8
0
0
8
16
16
0
16
16
0
1
1
0
0
0
8
20
0
0
0
0
0
8
8
0
0
0
8
0
0
16
40
40
0
0
0
0
0
0
4
17
1
16
0
1
9
16
4
0
0
0
1
1
1
0
8
0
0
0
0
8
8
0
0
8
8
0
8
8
0
0
25
0
0
16
6
0
0
0
0
0
16
0
0
16
16
0
8
0
4
0
8
16
16
0
8
8
8
8
8
0
8
8
8
0
0
0
8
0
0
1
0
11
2
8
8
16
0
0
0
0
0
4
4
4
4
0
1
16
16
16
0
1
2
2
0
0
0
20
4
8
0
4
16
0
32
20
51
0
0
0
0
4
4
0
8
8
0
0
40
16
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
8
0
2
1
8
16
8
8
8
8
8
8
0
0
0
0
16
0
0
0
0
16
1
0
0
8
8
8
8
8
0
0
0
0
8
8
0
8
0
0
0
8
8
0
0
0
16
0
8
0
0
0
0
0
4
16
0
0
0
0
4
16
0
0
0
0
0
0
0
0
0
0
0
29
0
0
0
0
0
18
18
0
0
0
8
8
8
8
8
8
16
8
8
8
8
8
24
24
4
2
18
0
0
0
0
8
2
2
2
2
20
16
0
0
2
0
0
0
0
8
8
8
8
0
4
4
4
16
16
8
0
32
32
8
8
8
0
0
0
0
4
4
2
16
16
2
2
8
0
16
0
12
12
0
0
0
0
0
0
0
16
16
9
8
0
0
8
0
0
0
0
2
8
8
0
0
0
0
0
0
8
0
8
0
0
16
16
4
1
1
1
0
0
0
0
0
0
9
0
0
8
8
0
12
16
8
8
8
8
0
0
8
8
8
0
0
13
13
13
0
8
24
24
0
0
0
0
0
12
0
4
0
0
24
4
0
32
32
0
0
0
1
0
0
0
0
8
4
4
8
0
0
4
0
8
38
16
16
16
5
1
1
0
0
0
0
0
0
0
8
8
8
16
16
8
8
1
1
1
1
16
16
4
0
16
8
0
8
0
0
0
0
0
0
0
16
4
4
0
4
8
0
0
22
0
0
0
8
2
24
0
0
0
0
0
1
0
20
56
56
0
0
0
0
0
0
1
0
0
0
1
0
0
8
0
0
8
8
8
0
0
1
16
0
0
8
0
17
0
0
0
1
16
16
0
0
16
40
1
1
1
0
4
20
0
0
0
0
0
8
8
4
0
2
0
16
1
0
0
2
0
0
0
0
0
16
16
16
16
16
16
16
8
0
16
8
8
8
8
8
8
0
0
0
8
4
4
4
4
0
0
0
0
0
0
0
4
0
8
28
0
4
4
0
0
0
0
0
0
0
0
0
8
16
0
0
0
16
16
16
8
8
16
16
16
16
16
16
8
0
0
0
0
0
0
8
8
0
0
0
8
4
12
4
16
8
8
1
1
1
16
16
2
2
4
4
8
2
16
16
0
0
2
0
0
4
4
1
1
1
4
4
8
2
2
0
8
8
1
1
1
16
16
0
0
0
2
2
8
4
4
34
0
16
8
0
33
33
33
0
4
4
0
4
0
2
0
0
8
8
0
0
8
8
16
16
0
0
4
0
0
0
0
0
0
1
1
1
0
0
16
8
12
8
16
0
0
0
0
8
16
16
0
16
0
0
8
4
0
1
0
0
0
0
0
0
0
8
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
4
16
8
16
8
8
8
8
8
8
8
8
8
16
17
0
0
16
0
0
16
16
17
0
0
2
16
16
16
16
8
25
20
0
0
0
0
0
0
0
32
1
16
16
2
2
16
0
8
8
8
8
0
8
9
9
9
0
0
0
8
8
1
4
4
4
16
16
16
0
0
0
16
0
8
8
0
4
0
1
0
16
0
2
0
0
8
8
8
8
16
16
0
1
0
0
32
0
0
0
16
8
16
16
16
8
0
0
0
8
8
8
16
0
0
0
12
12
0
0
16
16
0
12
12
0
0
8
16
16
16
0
0
16
16
16
16
8
1
8
4
4
0
0
0
16
36
8
8
8
0
8
6
0
4
4
0
16
16
16
8
0
0
0
0
0
0
0
0
16
8
0
16
16
0
1
0
0
0
0
4
0
0
4
4
4
4
0
12
12
0
16
0
0
0
0
0
1
4
4
7
7
0
0
0
0
8
0
0
0
0
0
8
8
4
4
4
4
16
4
1
1
16
48
0
0
8
0
16
2
0
0
8
0
0
0
0
8
2
2
2
2
0
8
8
18
0
4
4
4
2
16
0
1
1
0
8
0
0
0
4
0
24
0
0
0
0
8
0
0
0
8
2
2
0
8
8
8
8
8
0
0
0
0
0
0
0
0
16
16
16
4
19
16
8
0
16
16
0
4
0
0
16
20
2
0
8
0
6
6
0
0
8
0
16
8
8
16
12
0
0
0
0
16
1
16
0
8
0
0
0
0
8
8
1
0
0
8
8
0
0
9
8
16
16
16
16
8
0
0
51
16
16
8
0
8
8
8
16
16
0
0
16
0
0
16
0
0
0
4
8
8
8
8
0
0
0
0
0
0
4
0
0
8
0
0
0
0
0
0
0
8
8
0
8
0
0
0
0
0
16
16
16
0
0
0
0
0
0
4
4
4
2
2
20
20
8
8
8
8
8
8
4
4
4
0
1
0
0
0
0
8
6
0
0
0
16
0
0
8
0
0
0
32
32
1
1
1
1
0
8
16
16
16
16
16
2
1
0
0
16
4
8
8
8
8
0
0
0
0
0
0
8
0
8
52
4
16
16
16
16
16
8
8
8
8
8
8
8
8
8
0
0
0
0
0
0
4
0
0
0
22
22
22
8
0
0
0
0
0
20
16
16
16
16
8
0
2
0
0
0
0
0
0
16
12
8
0
0
0
0
40
8
4
4
4
8
0
0
0
0
0
0
0
0
0
16
0
4
8
2
24
24
24
24
24
0
0
2
2
2
2
2
2
4
4
2
2
0
0
4
0
18
18
12
4
0
0
16
0
8
0
16
4
0
8
2
2
24
0
0
0
0
0
0
0
10
10
8
8
8
8
0
0
0
0
0
0
0
17
17
0
40
8
0
0
0
0
0
2
8
0
0
0
16
0
0
4
4
8
8
0
8
8
8
0
0
0
0
0
1
0
4
4
0
18
0
0
0
0
0
0
0
0
0
16
8
8
0
16
16
0
8
0
24
24
3
0
0
0
8
1
30
0
4
2
0
0
8
8
8
0
0
2
2
4
18
16
16
0
0
13
13
13
16
0
0
0
0
0
0
0
22
8
8
0
0
0
0
8
8
0
0
16
30
0
0
8
8
8
1
5
8
8
8
0
8
0
4
32
0
0
0
0
0
0
0
0
0
8
8
8
8
8
8
8
0
0
8
8
0
0
0
0
0
0
8
0
16
8
0
0
8
9
9
4
16
24
24
0
0
8
0
0
16
16
0
0
0
2
2
0
8
1
0
8
8
4
4
4
0
0
20
8
8
0
1
0
0
9
9
4
0
0
0
24
0
0
0
8
24
0
8
0
0
0
0
0
0
0
16
0
4
8
8
0
16
16
4
4
4
4
4
17
0
0
0
0
0
0
16
0
0
0
0
0
0
0
8
0
4
0
8
16
8
0
4
12
8
0
16
2
2
1
1
0
0
0
8
8
0
1
8
1
1
8
8
0
0
16
0
16
1
16
0
16
0
16
32
0
0
0
8
8
0
0
16
0
0
0
0
8
0
13
0
0
0
0
16
16
16
16
0
0
0
16
16
0
8
8
8
8
16
0
4
0
16
4
4
0
0
2
16
16
16
0
0
0
0
0
9
9
9
0
8
0
0
0
0
0
0
0
2
8
0
0
0
0
0
0
0
0
0
16
8
8
8
16
16
0
4
4
0
0
0
16
24
16
0
2
8
0
32
32
16
16
18
1
25
25
20
20
0
0
0
0
0
0
0
0
0
0
9
0
0
0
0
0
8
9
8
4
12
0
24
24
8
0
16
0
0
8
0
12
0
0
0
0
0
8
0
8
4
0
16
16
16
8
8
8
8
2
2
0
4
0
8
0
16
8
0
1
8
0
0
8
8
4
0
0
0
8
0
0
0
0
2
0
8
16
16
0
4
2
0
0
0
4
0
4
4
16
4
4
16
16
16
16
0
4
4
4
4
4
0
32
0
16
0
0
17
16
8
0
0
0
0
16
8
0
8
8
8
0
0
8
4
1
1
1
1
0
16
16
16
16
0
0
0
0
0
16
8
8
8
0
8
8
8
8
0
2
0
0
8
8
0
16
16
8
8
0
0
0
0
0
0
0
0
48
48
48
16
16
16
16
16
16
16
1
0
0
0
16
0
0
8
8
8
10
10
8
8
8
8
0
0
0
4
0
16
8
32
4
4
16
0
8
0
0
0
0
0
8
2
8
8
0
16
8
8
8
0
16
4
26
26
8
8
8
8
16
21
0
0
0
0
4
3
4
4
4
16
8
8
0
0
16
0
8
0
8
0
1
0
8
0
0
1
0
0
4
8
0
0
16
16
16
4
0
8
0
0
0
0
8
0
0
0
8
0
4
4
0
0
0
8
0
0
16
8
16
16
0
0
0
0
8
0
2
0
0
2
8
4
4
8
4
0
0
0
2
2
8
4
4
4
0
0
16
0
0
0
8
0
8
8
0
8
8
8
9
8
8
8
8
22
22
0
0
18
8
24
0
8
1
0
8
8
8
8
0
8
0
0
16
0
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
9
2
2
2
2
2
8
0
0
8
8
2
16
8
40
0
16
16
0
0
0
16
16
0
8
8
8
0
8
16
16
16
16
16
0
8
13
16
2
16
4
4
4
4
4
4
4
0
0
8
8
8
8
8
0
0
0
0
0
0
4
0
0
0
0
21
21
16
0
0
0
8
0
0
0
4
0
0
0
2
8
8
8
1
0
0
0
4
0
0
0
0
16
16
0
8
4
8
1
1
0
0
0
0
16
0
16
16
0
0
0
0
0
0
1
0
0
0
0
0
8
0
2
0
0
27
27
8
8
0
16
16
16
16
16
0
24
0
0
32
32
0
0
0
0
0
16
16
0
0
8
8
8
0
0
0
0
8
8
8
1
1
0
0
32
16
32
0
0
8
8
16
0
0
1
1
1
0
0
16
0
0
4
8
4
8
8
0
8
16
16
0
8
8
8
8
0
0
8
8
8
8
0
16
0
4
0
8
16
0
0
0
0
0
8
4
4
4
1
1
1
0
24
24
24
48
16
16
16
0
0
0
0
2
2
0
0
2
60
0
16
16
16
0
0
3
0
16
8
16
0
8
8
8
8
0
0
0
0
17
16
0
0
0
0
0
18
4
0
8
0
8
8
0
0
0
4
0
0
0
0
0
0
0
0
24
0
0
0
0
0
16
8
16
8
1
8
1
24
8
0
8
8
16
8
16
0
6
0
4
24
4
0
8
8
4
0
0
8
8
0
8
0
8
1
0
0
8
21
4
0
0
29
8
16
2
2
2
0
0
0
0
0
2
4
0
0
0
0
0
24
0
0
16
4
32
0
0
0
0
0
0
16
0
16
0
12
4
16
32
16
8
24
0
0
16
8
0
0
0
16
8
2
8
0
0
0
0
16
0
8
0
8
8
8
8
0
24
24
0
2
0
0
0
0
0
2
0
8
8
16
16
16
4
0
0
0
16
8
8
8
8
8
0
0
0
0
0
0
0
0
8
8
16
8
24
0
0
0
0
0
4
0
0
0
0
0
16
8
0
0
24
16
0
1
1
1
1
1
19
19
19
19
8
8
8
0
1
1
1
0
0
16
0
0
1
0
0
0
0
0
16
16
9
8
8
8
8
0
0
0
8
0
16
1
0
1
0
8
8
8
0
0
24
2
1
24
1
16
8
0
0
0
0
0
0
0
0
0
8
8
8
8
8
0
0
0
0
0
1
0
0
8
0
0
0
0
1
1
0
0
0
24
4
0
0
5
0
0
8
8
32
0
16
1
25
0
0
0
0
0
4
8
8
16
8
8
0
0
0
8
0
8
0
16
16
1
0
8
8
36
36
4
8
8
8
8
8
8
0
8
0
8
0
0
0
8
16
16
16
0
0
2
2
2
16
0
0
9
9
9
0
24
0
0
8
32
0
0
0
4
8
2
8
0
0
0
0
0
0
0
8
8
8
16
4
8
16
0
0
0
8
0
32
0
8
8
8
8
8
8
4
0
0
12
1
0
1
0
8
8
18
8
0
0
8
0
0
0
16
16
16
0
0
32
0
16
16
8
8
16
16
10
0
0
0
0
0
0
0
0
0
0
0
16
0
16
16
16
16
16
0
8
4
4
36
0
0
20
20
0
0
0
0
0
28
32
1
1
0
2
2
2
2
10
0
1
1
0
8
16
0
0
0
0
16
16
0
0
8
0
0
0
0
0
48
48
32
2
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
26
0
24
0
16
6
0
0
0
0
8
8
8
8
1
1
12
12
12
0
0
0
0
0
4
4
4
4
0
0
0
0
0
0
0
0
0
8
8
8
8
4
4
8
4
4
0
0
0
16
0
0
0
0
0
0
0
0
0
16
8
0
0
0
0
16
8
8
8
16
16
4
0
0
0
2
2
15
0
0
4
4
0
24
32
0
10
0
0
16
16
8
0
0
21
8
8
0
0
0
0
8
8
0
0
0
8
8
0
0
0
0
8
8
0
8
16
4
0
8
2
0
0
0
8
8
8
0
0
8
8
4
0
8
1
1
1
8
0
1
0
16
18
1
8
8
8
8
8
0
0
0
16
0
0
0
0
4
4
4
4
4
0
0
16
16
16
16
8
8
0
0
0
0
0
8
8
8
8
1
16
0
0
1
1
1
17
8
8
0
0
0
4
0
1
1
0
0
0
0
1
1
0
0
24
2
1
8
0
16
16
16
16
0
0
0
2
8
0
0
0
0
0
0
12
12
10
10
9
9
0
0
24
5
1
25
25
0
4
4
8
8
40
40
0
1
0
0
16
16
0
0
0
0
8
8
2
16
29
4
17
0
0
32
8
18
18
0
0
0
0
0
0
0
16
16
8
0
0
0
0
4
0
0
8
16
0
8
8
4
8
0
18
8
8
8
16
16
0
0
0
8
8
8
0
0
0
4
4
4
4
4
4
4
4
0
16
0
0
4
4
4
0
0
24
24
0
8
16
16
0
33
8
8
0
0
8
1
1
0
4
16
0
1
8
8
8
8
8
8
8
8
0
0
0
0
0
8
0
24
8
0
0
0
16
16
0
0
0
0
16
12
8
20
0
0
0
0
4
16
1
1
0
0
0
1
1
1
1
0
8
1
12
0
0
8
16
16
2
0
8
0
0
0
0
0
8
8
8
16
16
0
8
0
0
0
0
0
8
8
0
1
4
4
2
0
0
0
0
0
0
0
2
8
0
16
16
28
28
8
8
8
8
0
0
0
0
5
4
0
0
0
0
0
4
8
0
0
0
0
16
4
4
4
4
0
8
0
0
0
56
16
4
24
0
16
8
8
0
8
8
16
0
0
0
0
0
2
2
0
16
16
16
0
0
0
1
8
8
8
8
0
8
2
8
8
8
8
8
8
8
0
2
0
0
0
16
8
16
16
0
17
17
17
0
0
0
0
8
8
0
2
6
8
0
16
9
9
0
0
0
0
0
34
0
0
1
8
0
0
0
18
18
0
0
2
0
0
0
0
0
16
8
0
0
8
8
8
8
0
0
0
0
24
24
24
48
48
48
0
16
0
0
0
0
24
0
0
0
0
0
1
0
8
0
0
8
25
16
0
8
1
20
32
0
0
8
0
4
0
8
16
0
0
8
8
8
0
33
0
0
0
25
8
8
8
0
0
0
0
0
0
28
0
0
0
2
8
17
17
2
8
8
8
0
0
16
16
16
16
16
4
0
8
8
0
0
0
0
16
0
0
16
8
8
4
2
16
4
0
0
0
0
0
8
0
0
0
0
20
20
20
4
20
8
20
0
0
2
0
0
0
0
1
0
16
16
0
1
0
0
0
0
10
16
16
0
0
12
12
10
10
16
16
4
0
41
41
0
0
16
16
0
0
4
4
0
0
4
8
8
2
8
0
0
8
8
22
0
0
0
0
0
0
32
0
16
0
0
0
0
0
0
8
0
0
0
0
24
0
16
2
0
24
16
25
8
0
0
8
38
0
8
40
40
40
40
40
40
1
4
2
0
0
0
0
0
0
0
0
2
0
16
12
12
12
12
12
0
17
8
8
0
8
8
0
16
16
8
16
0
16
0
8
0
0
0
0
3
0
32
0
0
0
0
0
8
0
0
0
0
0
8
0
4
8
8
16
8
8
0
0
2
0
4
2
8
8
16
16
16
2
2
2
61
0
0
0
8
8
8
8
4
8
8
0
0
0
8
8
0
0
8
8
8
0
8
8
16
0
0
12
12
0
4
0
0
16
16
16
16
32
40
40
40
40
40
0
0
1
32
0
0
0
0
0
0
8
8
8
8
0
16
0
0
0
0
0
0
4
0
1
16
0
0
8
8
0
8
0
0
0
0
0
0
0
8
8
0
0
16
1
16
4
0
0
4
8
8
8
8
8
8
8
0
2
0
24
0
0
0
0
0
0
8
8
4
0
16
16
8
8
8
8
0
32
1
0
0
2
2
1
1
17
17
8
0
0
0
0
0
24
32
32
12
0
2
2
2
8
8
18
18
0
2
1
1
6
0
0
8
8
8
8
0
8
2
0
0
0
0
0
0
0
0
0
0
0
8
8
16
8
16
17
17
0
0
0
16
0
0
0
0
16
16
16
16
4
4
0
0
0
0
0
8
8
0
0
0
0
16
2
0
16
4
0
8
0
0
0
0
0
16
32
16
16
0
8
8
8
17
0
2
2
9
8
0
0
0
0
0
0
0
4
4
4
28
0
16
16
0
1
8
8
0
0
60
2
0
0
8
8
8
8
0
11
18
0
0
0
8
1
0
16
4
4
0
0
0
8
8
8
8
4
0
0
0
2
8
16
0
16
0
8
24
0
0
0
16
0
9
8
8
0
0
0
0
0
0
17
8
8
0
8
8
0
0
4
4
4
4
1
12
0
24
24
16
0
9
9
8
8
8
16
16
0
0
8
8
16
16
0
0
0
0
8
0
0
0
8
8
8
8
0
8
8
0
0
0
0
0
0
0
16
0
16
16
18
16
0
0
28
28
28
8
4
4
4
32
32
32
0
8
5
0
0
0
0
0
0
0
8
1
8
0
4
4
4
0
0
0
0
1
8
8
8
8
16
24
20
0
0
16
0
0
8
8
0
4
0
0
0
4
0
0
0
0
0
0
8
0
0
0
8
8
0
0
18
2
2
8
4
0
0
0
8
8
8
0
16
8
8
8
8
8
0
0
0
0
0
0
24
32
8
8
0
0
8
8
16
8
8
0
0
16
0
3
0
0
16
16
0
0
0
2
1
0
0
16
8
16
6
8
8
8
8
0
16
1
0
8
8
16
16
34
0
0
0
0
0
0
0
0
0
0
8
8
8
1
9
2
2
4
0
0
0
16
16
3
3
0
0
0
8
0
9
8
8
0
0
0
0
0
8
8
8
1
8
8
8
0
52
2
2
8
0
0
0
0
0
0
8
16
17
17
1
1
1
16
0
0
0
0
0
0
0
0
1
16
0
1
0
0
0
0
2
8
0
0
0
2
2
0
0
8
8
0
4
1
17
0
0
0
20
0
0
16
16
2
8
0
0
16
16
16
16
16
9
0
0
2
2
8
0
4
8
16
8
0
1
8
16
8
8
0
4
1
0
0
16
50
50
50
0
24
2
16
16
16
8
8
16
16
0
2
2
9
0
0
0
0
0
0
8
4
4
4
8
2
2
0
0
0
4
4
16
4
0
0
0
4
4
16
0
0
0
0
4
4
8
8
8
8
0
8
0
0
8
0
0
16
16
0
16
8
8
8
8
8
0
0
8
2
10
10
16
16
0
8
8
4
0
16
1
1
1
0
0
16
16
16
0
0
0
0
24
4
0
8
0
16
16
0
8
0
8
0
8
8
0
0
8
32
0
0
0
10
0
0
8
16
32
32
16
0
0
1
0
0
0
16
16
0
0
0
16
24
8
0
0
24
4
16
0
8
8
0
0
8
4
4
4
0
0
1
4
0
0
0
16
10
10
24
24
24
24
16
16
16
0
0
8
2
0
0
8
16
0
32
20
0
0
8
1
1
0
1
0
0
0
4
4
4
8
0
0
0
0
0
0
0
0
0
16
16
8
0
0
0
0
0
52
0
16
16
0
0
0
0
20
9
0
16
16
0
0
0
16
8
0
0
8
0
8
24
16
20
16
16
16
0
0
0
0
2
2
4
4
4
4
0
0
8
0
8
0
0
16
0
8
8
8
0
0
0
0
0
8
0
0
1
1
0
0
0
8
0
1
8
0
0
0
0
0
4
4
0
0
0
0
8
0
1
0
0
9
9
9
4
4
8
0
0
0
0
4
0
8
8
8
4
0
4
8
0
0
0
0
8
2
8
0
8
8
0
0
0
0
0
8
0
24
24
8
8
0
0
8
0
0
0
0
0
0
0
0
48
0
0
0
1
24
16
16
16
18
18
0
0
0
8
2
2
1
1
16
0
0
0
0
0
8
0
24
1
0
2
0
8
0
16
0
0
0
0
1
1
8
8
8
0
8
8
8
4
0
0
0
8
4
4
4
0
0
8
8
8
8
0
16
0
16
0
8
0
0
4
0
0
1
33
0
0
0
0
0
34
16
16
16
0
0
0
0
0
16
17
17
0
0
8
8
1
8
0
24
4
8
0
16
1
0
16
16
8
8
8
0
0
16
16
16
8
8
4
0
16
0
24
16
4
8
8
16
16
0
0
8
53
53
0
0
8
8
8
0
0
0
4
0
8
0
0
8
16
58
8
0
0
8
8
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
12
24
37
37
4
16
0
0
0
1
0
0
0
0
0
0
0
16
0
20
1
1
4
0
0
32
0
8
0
0
0
0
16
0
0
0
0
0
1
0
0
0
0
0
0
16
0
0
8
8
8
0
0
0
0
16
8
0
0
0
0
8
4
8
0
8
16
8
0
16
0
0
16
8
16
16
8
8
0
8
8
0
0
8
8
0
16
0
0
0
0
9
2
1
0
16
2
0
8
8
2
2
1
1
10
0
0
0
0
0
16
16
16
0
1
0
0
0
0
0
4
4
0
1
0
0
0
0
0
0
2
2
8
12
16
16
0
0
0
0
16
4
4
8
0
24
24
0
48
48
16
0
8
8
0
4
4
4
4
0
0
0
0
0
10
0
0
1
1
0
0
4
0
0
4
4
8
8
16
0
24
16
0
57
1
1
8
8
0
16
8
0
9
8
0
1
1
1
1
1
20
16
16
16
16
0
8
0
8
2
0
8
16
8
0
0
16
0
0
0
0
0
0
0
16
0
1
1
8
0
0
0
0
0
27
27
27
12
8
2
0
1
1
0
16
0
0
0
0
8
16
8
8
16
0
0
0
16
16
4
4
0
0
0
0
0
0
8
0
0
0
8
8
24
24
2
0
1
1
0
18
16
17
17
0
0
0
8
8
8
16
16
16
8
0
12
8
8
48
0
0
8
8
0
32
8
8
0
4
48
48
0
0
0
0
0
0
4
8
8
0
0
0
0
0
0
0
8
8
0
16
0
0
16
0
8
8
4
4
0
0
16
20
0
0
1
1
0
16
16
8
0
4
0
0
16
0
0
0
0
16
0
0
0
2
0
8
8
0
0
0
0
0
0
4
0
0
0
0
0
0
0
16
16
0
8
8
4
0
0
8
8
8
8
0
0
0
25
0
16
0
0
24
24
4
4
0
0
0
0
0
0
4
0
0
0
0
16
8
0
0
16
16
4
4
4
16
0
0
24
0
0
0
25
0
0
0
0
0
16
16
4
28
28
28
0
0
4
0
32
32
32
32
8
0
0
8
4
0
4
0
0
0
0
0
0
8
4
8
0
0
8
8
8
8
0
0
0
8
0
16
0
0
0
0
0
0
32
32
0
0
8
8
8
0
1
0
8
0
0
0
0
8
8
4
0
0
0
0
0
2
0
33
4
4
4
0
0
0
16
16
8
8
0
0
0
8
0
0
0
1
0
0
2
0
5
1
0
0
8
8
8
8
0
8
16
16
16
16
8
8
8
0
0
0
0
0
16
0
0
0
20
0
0
8
8
0
0
0
0
16
16
0
0
0
4
4
24
16
4
0
32
8
0
0
8
4
4
16
16
8
24
8
0
4
0
0
0
0
0
0
0
16
0
4
8
8
0
0
0
0
8
0
6
10
8
0
0
0
0
20
1
20
20
20
3
8
0
0
2
0
1
0
0
0
4
4
4
16
16
16
16
16
16
0
8
0
2
22
0
28
8
0
8
16
16
0
0
13
0
0
4
16
16
1
1
0
21
0
16
16
16
18
18
8
4
4
16
16
0
8
8
8
0
8
16
16
0
0
0
0
0
0
0
16
8
8
0
0
0
0
16
16
4
4
4
6
6
0
0
0
0
4
4
2
2
0
0
0
16
0
16
16
4
4
4
18
0
8
8
1
0
0
0
0
0
0
0
8
0
0
16
0
0
16
16
8
8
8
8
16
16
0
8
0
12
0
8
0
32
0
4
0
0
8
16
8
8
8
0
0
4
4
8
8
53
53
53
11
8
8
8
1
1
1
4
24
1
0
0
2
2
4
0
0
0
16
0
8
2
0
0
0
8
8
8
8
8
8
8
8
8
8
0
8
8
1
8
0
8
0
16
8
1
0
16
0
0
8
0
16
16
16
0
0
0
57
2
16
0
0
0
8
16
0
0
0
0
16
18
18
2
8
8
0
0
0
48
26
26
26
16
16
32
32
0
4
4
0
2
4
8
8
16
16
16
0
0
18
4
17
0
1
1
8
24
16
16
0
0
0
0
1
0
0
0
0
8
0
0
0
0
24
16
0
1
0
0
0
0
8
33
33
0
16
8
0
16
4
1
8
32
2
16
16
1
8
34
8
8
16
8
0
12
0
0
0
0
0
0
0
0
4
8
8
0
0
16
8
8
8
8
8
8
0
0
0
4
0
18
18
18
8
0
0
0
0
0
0
0
0
0
0
8
0
8
1
8
0
8
8
24
8
8
0
8
0
1
1
8
9
9
9
25
1
0
0
0
0
0
0
1
1
8
8
16
0
16
8
22
0
8
8
0
0
0
0
0
0
0
0
8
10
10
10
0
0
24
24
24
24
8
8
8
8
0
0
0
0
0
16
16
16
16
25
0
0
0
16
16
0
0
4
4
32
32
2
16
16
16
16
0
0
0
8
8
8
0
8
8
1
24
0
8
16
16
8
0
16
4
16
0
0
0
2
2
8
4
4
0
0
0
16
24
0
12
8
0
2
8
32
32
32
32
8
8
0
4
0
0
0
16
16
16
16
16
16
16
16
8
16
4
1
1
0
8
8
8
0
4
4
0
0
8
8
8
8
8
8
4
4
16
0
0
0
0
1
2
2
2
2
2
2
0
16
8
16
24
0
8
8
8
0
16
0
1
16
16
0
0
1
1
0
0
0
1
1
1
0
16
8
0
8
1
1
1
8
16
0
0
8
8
0
8
8
8
4
18
0
0
8
8
8
0
0
24
16
16
16
16
8
2
24
8
8
0
0
0
0
0
0
6
6
0
0
0
16
8
8
0
8
0
8
8
20
20
57
4
0
0
0
0
0
0
0
8
8
4
4
4
4
8
8
0
0
0
0
0
0
8
8
8
8
8
8
9
0
0
0
2
2
2
16
16
16
0
0
0
1
1
4
4
0
32
16
0
0
0
0
0
1
0
0
12
1
16
0
0
0
8
0
0
0
26
26
4
4
4
8
0
0
8
0
8
8
0
1
1
8
16
8
6
0
0
8
16
0
0
2
8
0
0
8
16
4
4
12
12
12
8
0
8
0
0
0
0
8
16
21
0
0
0
0
16
16
16
1
1
16
16
16
16
4
8
8
0
0
0
8
0
4
4
16
16
40
8
0
16
0
16
0
0
0
16
0
20
8
1
1
16
16
0
8
0
4
4
0
8
8
0
32
32
32
32
24
24
24
24
8
12
12
12
0
2
0
0
17
16
37
0
8
8
24
0
0
24
4
4
4
0
0
0
0
0
0
1
33
16
0
0
0
8
24
0
0
8
1
16
0
18
0
0
0
10
4
0
8
56
0
0
0
0
0
0
0
2
4
4
4
17
1
1
16
16
16
0
8
16
0
0
0
0
0
1
1
1
16
16
16
0
8
0
32
4
4
4
24
24
25
0
16
16
32
52
8
0
8
16
16
4
4
1
1
4
4
8
8
8
2
2
2
0
9
2
2
0
0
16
16
4
0
27
8
10
16
8
8
8
0
0
0
0
0
0
40
40
8
0
0
4
16
16
8
0
2
8
0
8
8
8
20
20
20
4
0
8
0
9
4
4
4
1
1
1
1
1
1
0
1
0
0
0
0
0
0
0
0
0
16
16
16
16
0
42
8
0
0
0
16
16
16
0
8
8
0
0
0
0
49
0
8
8
8
8
40
8
4
8
8
8
8
16
32
8
8
8
8
8
8
8
8
8
8
8
8
0
8
8
8
1
16
16
16
16
0
0
0
0
0
1
0
8
8
8
0
0
4
8
53
53
4
8
0
0
0
16
16
16
16
16
16
8
10
10
2
0
8
24
17
1
1
8
8
1
1
1
0
2
2
2
0
0
0
0
0
0
0
8
8
0
16
1
0
2
2
0
24
36
20
4
4
8
0
8
8
8
24
17
8
8
3
0
17
1
1
8
8
0
16
16
32
0
0
0
0
0
0
16
16
8
8
8
8
8
8
0
0
8
8
16
16
8
16
32
32
2
2
16
16
0
16
16
16
25
25
0
12
12
0
0
16
16
16
4
4
4
6
6
8
0
0
0
0
18
18
21
21
21
16
0
0
2
2
8
16
0
17
16
16
0
0
8
8
32
0
0
0
4
8
8
2
0
1
8
0
0
0
0
24
0
0
16
8
1
16
4
0
8
2
8
0
8
28
19
16
0
0
0
0
0
0
0
0
0
8
4
16
16
16
16
17
16
8
8
20
16
0
0
0
0
24
24
58
58
0
8
8
8
1
0
0
0
0
20
20
0
0
4
4
4
4
0
0
0
0
0
8
1
1
1
1
1
1
1
1
1
1
0
0
0
24
24
24
24
24
0
0
4
16
9
16
16
16
16
2
41
4
0
4
36
0
0
0
0
0
0
0
0
0
1
8
8
0
16
20
4
8
0
16
8
0
16
8
8
8
8
8
8
8
8
8
0
0
16
7
0
0
0
0
16
0
2
2
0
16
16
8
8
8
4
0
20
20
20
20
16
16
14
14
14
14
8
8
0
0
0
16
16
16
4
16
8
0
0
0
0
0
0
0
8
32
0
0
8
4
0
8
8
8
1
1
1
20
20
0
0
0
8
0
0
0
0
8
0
22
22
0
0
16
16
16
8
8
0
0
16
2
0
16
8
8
4
0
0
0
0
8
8
0
0
0
6
6
32
8
1
1
16
0
0
0
0
0
8
16
16
12
12
16
16
8
8
4
4
4
7
0
0
0
17
16
0
0
0
0
0
0
16
13
16
16
0
16
16
16
0
0
0
0
8
8
4
4
4
4
4
4
4
4
8
0
8
0
0
0
0
2
2
2
8
16
16
16
0
0
0
0
0
16
0
5
5
0
0
0
0
0
0
18
18
4
4
4
0
0
8
16
8
24
17
1
8
8
0
0
10
10
0
0
16
24
24
4
0
0
8
0
32
32
0
1
1
1
0
0
0
0
0
0
0
0
0
0
8
8
8
48
2
2
0
0
32
32
32
16
16
0
8
4
4
4
24
8
1
8
1
1
1
4
4
4
8
8
8
0
0
0
0
0
4
18
1
1
8
8
0
8
8
0
0
48
48
48
48
48
0
5
4
0
16
24
24
2
12
12
12
12
16
16
16
16
16
16
40
32
32
16
16
4
4
0
0
0
8
8
0
0
0
30
12
8
8
0
0
18
1
1
16
2
0
0
0
8
8
4
4
8
4
8
16
12
16
8
0
16
16
16
0
0
16
16
16
16
16
32
9
0
0
0
8
8
16
4
0
0
0
8
8
8
8
0
0
16
16
0
0
0
20
20
20
0
0
0
8
8
1
17
8
16
16
32
8
8
4
4
4
8
16
16
32
0
16
8
0
0
1
1
16
0
2
24
0
16
16
0
20
20
16
24
24
24
0
1
0
2
8
0
0
0
0
0
0
0
0
8
0
0
33
33
0
8
8
8
8
8
0
16
16
0
0
0
0
0
0
8
0
0
0
8
8
0
8
0
0
0
0
24
24
24
16
16
0
0
20
20
16
0
8
22
22
22
8
16
8
0
0
0
2
1
1
8
8
8
8
8
0
0
0
0
0
0
8
24
4
4
4
4
0
0
0
0
0
0
40
0
16
16
16
16
13
0
16
0
16
8
8
16
0
0
0
8
0
0
6
8
0
24
0
0
0
0
8
1
8
8
0
0
1
8
16
16
4
8
6
6
16
16
0
0
0
0
0
0
0
0
0
0
24
24
24
24
0
0
0
8
16
16
16
0
8
32
32
32
0
0
0
0
0
8
16
8
20
16
8
0
0
0
0
0
0
0
0
0
0
0
0
1
0
2
8
0
8
0
0
1
1
1
0
0
8
16
0
0
0
0
0
8
0
0
0
0
0
16
17
8
8
4
40
16
16
8
2
2
2
2
2
2
8
4
4
1
16
8
0
0
0
0
0
0
0
8
8
8
8
8
5
8
8
24
16
16
16
16
0
0
16
8
8
8
16
4
4
4
8
8
0
8
16
0
16
16
0
16
8
0
56
16
16
16
16
24
0
8
19
0
8
8
0
0
0
0
0
0
0
0
0
0
16
1
20
4
8
16
4
4
0
24
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
32
0
0
0
17
17
0
0
8
8
8
8
0
0
8
8
8
8
0
26
26
2
2
20
8
8
8
8
0
0
27
27
27
0
0
0
8
0
16
16
0
0
0
0
0
0
0
0
0
2
2
32
8
18
2
2
0
0
16
16
16
16
2
2
2
0
0
0
0
0
0
0
8
8
2
4
4
0
0
0
24
24
24
24
0
4
2
0
0
0
4
4
0
8
8
8
8
8
2
2
8
8
7
8
16
0
0
10
10
10
0
0
16
8
8
0
16
32
16
16
16
16
8
8
4
0
16
8
0
2
4
1
1
1
8
0
0
0
0
0
0
0
0
0
2
8
16
16
0
8
0
20
8
0
0
10
4
0
8
16
4
4
0
4
1
0
17
16
4
0
16
0
0
0
0
0
0
0
4
1
0
0
4
4
8
0
0
0
0
0
0
26
16
16
8
16
9
0
0
0
40
0
0
0
24
0
1
1
8
4
4
0
0
40
40
0
0
8
8
4
4
1
8
9
0
0
0
8
4
2
0
8
8
8
0
0
1
2
2
0
16
16
0
0
0
28
1
41
41
0
0
4
4
48
48
12
16
5
1
0
0
0
1
16
8
0
0
0
0
0
35
35
0
0
1
32
32
0
0
0
0
0
8
8
8
8
0
0
0
0
0
16
4
4
4
16
0
0
1
0
8
8
8
0
2
0
0
0
8
0
0
10
0
0
4
0
16
2
0
16
8
16
0
2
2
2
2
16
16
16
16
16
16
27
8
21
16
0
2
8
8
8
16
16
1
1
1
1
1
1
0
0
0
0
4
16
16
16
0
0
0
16
16
16
0
8
8
8
16
16
16
1
1
1
1
0
8
2
2
2
2
2
0
8
0
0
16
0
2
2
2
2
5
0
16
16
16
16
37
37
37
37
0
16
17
32
32
32
32
48
48
0
0
0
1
0
0
18
24
8
8
8
0
1
16
0
0
2
16
16
18
8
0
16
8
22
22
16
0
2
1
1
1
16
1
1
1
1
16
16
16
16
8
0
6
0
0
16
16
16
16
2
2
2
2
2
0
0
21
21
0
48
4
4
8
0
0
1
8
8
16
16
8
8
0
8
8
8
0
0
8
0
0
0
0
0
4
4
4
4
0
0
24
8
0
0
0
16
16
4
18
0
16
16
32
16
2
2
1
1
32
32
32
0
0
2
0
0
1
1
1
16
16
16
0
0
0
8
0
0
0
13
8
20
16
4
0
0
16
16
16
8
0
0
0
0
0
32
8
0
8
0
16
16
8
8
8
0
8
0
0
0
0
16
16
0
16
0
8
8
8
8
0
0
1
8
0
0
0
0
32
32
32
32
8
8
16
4
4
4
4
4
4
2
0
2
0
0
1
8
1
32
8
0
0
0
8
8
2
2
8
8
8
4
16
16
1
8
8
0
0
0
16
8
16
16
0
0
0
0
0
0
0
0
1
1
20
20
8
16
0
0
0
0
0
4
4
4
16
1
8
16
0
0
16
0
0
8
0
0
0
8
56
56
56
56
8
8
8
0
0
8
8
0
16
2
2
8
8
16
16
8
16
24
0
0
8
8
2
16
43
43
0
0
8
2
8
8
0
0
6
4
24
24
24
24
0
0
0
0
0
4
16
16
16
16
0
8
0
24
4
8
0
16
4
4
0
2
2
16
16
20
0
0
0
0
0
24
24
16
16
16
0
0
0
8
8
0
8
16
16
0
0
0
0
0
24
16
0
4
8
8
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
22
22
22
22
22
0
8
16
16
0
0
1
4
4
4
4
0
0
0
0
0
0
1
0
0
0
0
0
0
4
4
16
0
0
0
1
8
0
0
0
8
0
0
4
4
4
4
4
4
0
0
4
4
1
1
0
16
0
1
0
16
28
28
28
4
0
8
8
0
8
8
1
0
0
0
0
0
0
8
16
16
16
16
0
17
17
0
0
0
0
16
12
12
12
12
2
16
1
2
0
2
2
2
0
0
8
0
16
40
16
16
16
16
10
10
10
10
11
0
32
0
24
2
2
8
8
8
8
32
4
0
0
24
8
4
4
8
8
8
8
8
14
14
0
0
0
0
0
8
8
8
8
16
8
1
1
8
8
0
0
0
1
1
1
0
0
0
0
16
16
16
16
16
16
4
16
16
16
16
16
16
0
0
0
16
16
0
0
0
0
4
0
0
16
16
16
0
0
0
0
0
1
0
0
0
0
7
7
7
0
8
0
0
0
0
0
25
8
0
0
0
0
0
28
28
28
0
8
0
0
3
16
8
0
0
0
0
8
1
1
1
0
2
8
16
2
4
1
2
16
0
2
0
0
0
0
1
0
16
8
0
0
0
24
4
16
16
0
0
16
16
4
16
16
0
0
16
16
0
8
0
0
0
0
0
0
0
2
8
8
8
8
8
0
0
0
0
8
8
0
1
1
8
0
0
0
16
0
8
0
0
0
0
1
1
1
1
0
16
8
8
0
0
16
0
16
8
8
8
8
1
5
5
0
0
22
2
0
0
32
4
4
1
1
17
17
4
16
16
16
16
16
0
0
0
8
0
0
0
12
30
20
16
16
16
16
0
0
16
4
8
0
0
0
0
0
0
8
8
0
0
0
0
0
44
8
0
16
16
0
0
8
8
8
16
16
8
8
8
4
8
8
8
8
8
3
0
0
0
8
0
8
8
16
16
0
4
4
0
8
8
8
32
4
4
4
4
4
1
1
0
2
12
0
8
20
20
8
5
5
0
0
0
0
0
0
0
0
0
4
16
4
0
0
8
2
8
8
0
4
9
4
0
4
1
2
2
2
8
8
0
0
4
0
0
0
0
0
8
2
8
0
0
16
16
16
16
16
1
2
2
2
2
0
16
32
1
1
1
4
4
0
8
12
0
16
4
4
7
0
8
8
16
16
16
4
4
1
0
0
0
8
8
8
8
33
1
1
1
8
0
0
0
0
4
0
16
16
0
0
2
4
0
0
8
24
16
16
16
16
8
0
0
8
0
32
59
59
0
0
16
16
4
4
2
8
0
8
0
0
1
1
1
8
0
0
0
0
0
8
4
0
0
0
8
0
0
0
0
0
16
0
0
0
0
0
0
0
8
9
9
9
22
2
0
0
20
20
20
18
16
16
16
0
0
16
0
0
0
16
8
8
8
8
8
8
1
0
8
8
8
8
8
16
0
0
0
0
0
32
16
16
0
32
32
0
16
1
1
0
0
0
32
0
33
33
16
16
8
8
8
8
8
8
8
1
16
16
16
16
4
4
16
0
0
0
8
8
8
8
4
16
0
0
0
0
8
0
0
0
4
0
8
0
0
8
8
8
4
4
4
0
0
0
0
4
4
8
0
16
16
16
0
8
0
12
12
20
2
0
0
8
8
8
8
8
0
0
16
0
0
0
0
0
20
0
0
9
9
1
0
1
1
20
16
16
0
0
0
16
48
48
8
8
0
0
0
0
0
0
0
0
0
0
16
0
0
0
8
8
16
16
16
16
16
16
0
0
8
8
8
0
0
16
10
24
2
8
32
32
32
16
16
16
16
16
8
0
0
8
24
2
0
0
0
0
0
8
8
8
8
8
0
0
1
1
1
1
1
0
0
16
3
3
3
32
32
32
0
0
8
8
8
0
0
0
16
16
26
10
10
10
10
18
26
4
2
0
8
0
0
0
0
0
4
4
16
16
0
0
0
0
16
16
16
16
16
18
33
0
16
16
16
16
16
0
50
0
8
8
8
0
24
24
24
8
8
8
4
0
16
0
0
8
0
0
0
0
0
0
4
8
0
0
8
8
1
41
8
8
8
16
16
8
4
4
4
8
32
16
4
8
16
8
29
0
0
0
0
0
6
2
2
0
0
1
8
16
8
24
24
8
8
0
8
8
4
8
8
16
16
16
0
0
1
0
28
28
40
8
8
8
8
18
18
0
0
8
8
4
8
0
24
0
4
0
0
58
2
2
0
2
0
0
16
16
8
8
0
8
0
4
16
16
16
16
16
8
8
8
8
0
0
0
0
4
0
0
8
8
0
0
20
16
0
16
8
2
8
8
8
8
0
0
8
8
8
0
16
24
24
8
0
4
8
2
0
0
0
0
8
8
0
13
13
0
0
0
16
16
17
4
0
0
1
1
0
26
26
24
16
0
16
8
8
8
8
8
8
8
16
0
0
2
24
24
32
1
4
8
8
8
8
2
0
0
1
0
0
0
0
16
16
16
8
0
1
1
0
0
0
16
8
0
0
1
32
32
8
8
24
24
24
24
0
0
0
4
16
0
0
0
18
18
16
3
16
0
0
16
16
1
16
0
16
16
16
16
16
16
16
0
0
0
0
0
2
0
16
16
1
4
0
16
8
8
32
32
32
32
32
16
8
8
8
8
4
0
2
2
8
8
8
8
0
1
0
0
0
16
8
8
0
16
16
16
16
16
0
0
0
1
0
8
8
0
0
0
0
0
18
18
0
0
51
8
8
8
16
16
16
16
0
0
0
0
0
0
0
0
0
0
12
12
8
8
8
0
0
24
0
0
3
0
4
8
2
1
2
16
0
24
24
0
4
4
4
4
4
32
32
32
0
0
18
4
16
8
8
8
13
13
16
20
20
16
16
16
16
16
8
16
16
8
0
16
2
2
2
0
8
8
8
32
0
0
0
24
24
24
16
0
8
8
8
8
8
1
0
0
8
8
0
0
4
8
8
8
16
16
16
16
0
0
10
10
0
8
16
8
8
0
4
1
0
8
0
2
0
0
0
0
0
0
0
0
18
0
0
8
0
8
8
0
0
0
0
1
9
8
8
4
8
32
4
4
8
0
28
28
28
8
1
4
4
8
8
0
0
1
1
1
0
0
24
8
0
0
0
0
8
16
32
16
2
16
16
4
16
24
24
0
0
0
0
0
17
17
2
8
8
4
4
0
8
0
0
0
16
0
8
4
4
0
4
0
16
13
16
16
16
16
32
8
8
4
16
16
0
16
0
2
16
0
0
0
16
16
8
0
0
22
0
8
0
16
16
19
0
0
0
0
4
16
0
22
22
16
33
33
33
33
33
16
9
9
0
8
8
8
16
27
8
18
18
18
18
18
18
18
0
0
0
0
1
6
6
6
6
1
33
33
33
33
33
33
0
5
5
16
20
16
0
8
0
24
16
40
0
0
0
0
0
0
0
0
8
2
0
0
1
8
8
0
0
8
0
8
8
4
0
24
24
0
0
0
0
8
8
0
0
8
16
16
16
16
16
6
0
0
0
0
16
0
0
20
1
1
1
24
16
16
1
1
28
1
4
8
8
8
8
8
16
5
5
5
5
5
5
5
5
5
5
5
5
0
0
0
0
0
0
8
0
0
0
8
16
16
0
48
0
0
0
0
0
8
4
0
32
1
0
0
8
0
1
0
16
1
1
1
1
0
0
0
16
1
16
16
8
8
8
8
8
8
8
8
8
1
1
0
8
8
1
1
1
0
8
8
8
8
8
0
8
8
8
8
0
0
0
0
0
0
0
0
0
8
32
32
16
0
0
0
2
2
2
2
0
0
32
32
32
8
8
8
0
33
32
0
0
8
8
16
16
16
16
16
16
16
16
16
8
8
16
16
8
0
22
4
4
4
4
4
4
0
0
25
25
25
16
16
16
35
35
0
8
8
8
16
16
2
2
0
0
0
0
0
0
0
32
32
20
20
0
16
16
16
2
1
1
32
16
8
8
0
0
8
2
0
4
28
16
16
16
0
0
0
0
0
32
32
32
32
0
32
0
8
40
16
16
0
0
0
0
0
0
49
4
0
1
0
16
8
0
0
0
0
1
0
16
16
16
16
8
16
0
0
0
0
32
32
0
16
24
16
0
0
2
10
0
0
16
16
10
0
0
2
2
2
16
16
16
16
16
17
8
1
1
1
8
8
0
0
24
24
16
0
0
0
0
0
8
8
8
8
0
8
8
16
16
16
0
0
32
32
32
32
0
32
0
16
16
1
33
1
1
1
0
2
16
0
0
0
0
4
8
0
0
8
8
20
0
0
17
17
17
17
16
16
16
28
28
4
8
0
0
16
0
8
8
8
16
16
18
0
0
0
0
0
8
0
4
4
0
0
8
0
16
16
39
8
8
4
4
0
1
1
2
16
16
22
22
0
8
8
4
0
0
16
20
16
8
2
0
0
0
16
16
16
0
16
36
27
27
27
0
0
0
0
0
18
18
0
0
0
8
8
0
0
0
0
0
0
0
16
16
8
0
49
49
49
0
0
10
0
0
0
16
0
16
0
0
9
0
25
8
0
0
0
0
8
0
1
1
1
1
1
0
0
0
1
16
0
0
16
40
40
4
4
16
26
0
0
0
0
0
0
8
8
0
2
2
0
0
0
1
0
0
0
16
16
10
0
11
11
11
1
1
0
0
8
8
8
0
0
1
0
16
8
8
16
1
1
1
1
8
18
16
16
16
8
0
0
16
16
16
0
0
0
0
0
0
8
4
4
4
4
28
28
28
28
16
16
16
16
16
8
0
8
4
0
1
8
16
0
48
16
0
4
8
16
16
16
16
16
16
16
16
8
8
0
1
0
8
0
2
2
8
8
8
8
8
0
0
0
0
0
2
2
2
0
0
17
4
0
0
12
12
12
0
0
0
0
16
32
32
0
0
0
4
0
16
24
0
0
8
0
8
8
8
8
8
0
0
1
8
8
8
8
8
8
8
8
0
16
0
0
0
0
0
12
1
1
1
16
0
4
4
0
0
0
0
0
1
4
12
20
20
8
8
8
24
24
8
16
16
8
8
8
8
8
8
8
0
0
0
0
0
18
18
2
2
2
0
0
0
0
28
28
2
2
2
0
16
16
0
0
0
0
8
16
0
0
0
0
16
16
0
16
4
0
0
0
0
16
1
16
16
8
17
17
0
10
4
0
0
8
8
8
0
0
0
0
20
16
4
4
21
16
16
16
8
0
0
0
8
0
0
0
32
2
4
0
0
32
0
0
4
8
0
0
0
0
8
8
8
8
8
8
8
0
0
8
13
0
8
16
4
0
0
8
0
0
0
0
0
2
8
8
16
8
0
4
4
4
4
4
0
0
0
2
32
9
8
0
16
4
16
8
0
0
16
0
16
16
0
0
0
8
16
0
0
0
0
16
0
0
16
4
4
4
4
4
4
4
4
4
4
0
0
0
0
0
0
0
0
0
33
0
0
0
0
0
0
0
0
0
8
16
0
0
24
0
0
8
32
4
0
8
4
4
9
0
1
24
0
8
8
0
4
0
0
16
16
8
8
20
20
8
8
16
16
13
24
16
16
8
8
8
8
0
4
0
8
1
16
16
0
8
0
16
16
0
0
9
9
0
0
0
0
0
0
20
8
2
16
16
0
0
0
0
0
0
8
0
0
1
0
1
0
17
10
8
8
0
16
0
16
1
1
0
0
28
16
16
16
24
9
16
16
16
0
20
20
32
0
0
0
1
4
4
4
8
0
8
0
8
4
48
8
16
1
1
1
1
1
1
1
1
8
8
8
16
16
0
0
0
0
0
2
2
2
2
2
2
0
0
0
0
0
0
8
0
0
4
2
8
16
0
34
34
34
16
8
0
0
0
26
4
16
0
0
8
8
8
8
8
16
16
0
0
16
2
16
2
0
8
8
8
24
16
12
12
16
0
0
0
0
0
0
24
24
24
0
0
16
0
0
0
8
0
0
0
0
0
0
0
4
0
24
24
40
0
0
0
0
1
1
48
0
0
0
0
0
0
1
1
2
2
2
0
0
0
0
0
8
16
0
8
8
1
8
8
0
0
1
25
25
25
25
25
20
4
4
0
0
0
8
18
18
0
0
59
12
2
24
24
24
24
0
0
8
8
8
8
8
8
0
8
0
8
8
8
8
8
8
8
1
4
0
16
16
0
0
0
0
0
0
8
1
0
0
0
0
2
2
0
8
8
8
8
8
16
0
4
8
8
8
4
49
0
0
0
0
8
2
0
0
0
1
1
1
0
8
8
8
0
0
0
0
8
8
8
20
10
10
8
8
0
0
0
0
16
1
1
1
0
1
1
0
2
0
0
8
8
8
8
8
8
0
8
9
9
8
8
8
1
1
1
17
17
17
0
0
0
0
0
16
16
32
2
2
2
16
0
4
4
25
40
8
10
10
10
0
8
8
17
17
17
17
2
8
18
20
1
8
8
8
0
20
20
20
8
16
16
16
16
2
0
0
3
0
0
0
16
0
0
0
8
0
0
16
16
0
12
16
4
16
8
8
0
0
0
8
8
0
24
24
0
0
0
0
0
0
0
0
8
8
8
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
0
8
8
8
0
0
0
32
0
0
16
16
16
8
1
0
0
0
8
8
8
8
0
4
4
16
0
0
0
0
16
16
16
16
16
16
16
8
16
0
0
2
2
0
0
16
8
1
1
4
0
0
0
16
16
0
8
0
0
2
2
0
0
0
0
0
2
2
8
16
0
4
0
0
8
0
0
12
12
8
4
0
57
57
0
8
4
0
8
8
8
0
16
28
0
4
4
0
0
0
24
24
0
16
8
8
8
0
0
0
0
8
8
8
8
8
16
16
8
2
8
24
8
33
2
2
0
32
0
0
0
0
0
0
0
4
34
16
16
16
16
8
8
8
0
0
0
0
0
0
0
16
0
0
8
8
51
0
0
16
16
0
0
0
1
0
0
0
0
0
0
0
8
9
1
1
16
0
0
2
2
24
24
24
1
1
1
8
16
8
1
1
20
20
8
0
0
16
0
0
0
0
0
8
8
8
16
40
40
0
20
8
0
8
17
16
16
16
16
16
16
3
0
0
8
4
4
8
8
0
0
1
1
1
20
0
12
0
52
2
0
0
0
16
16
8
8
8
0
0
8
0
0
0
2
2
0
0
0
0
0
32
2
0
0
8
16
17
17
16
16
0
16
16
0
48
48
48
48
16
16
0
4
4
0
0
0
9
16
0
0
0
0
0
0
0
0
0
0
0
0
20
0
0
1
1
1
0
0
0
1
16
8
8
16
8
0
8
9
24
0
0
0
20
0
0
0
40
0
8
0
4
4
2
0
0
48
0
0
0
0
8
1
1
0
0
4
8
24
24
4
16
8
2
0
32
32
32
0
0
0
0
0
0
0
0
1
1
8
8
0
4
4
16
16
8
8
8
8
0
0
0
0
0
0
0
16
0
8
25
25
10
10
10
10
8
0
0
32
0
16
0
8
8
2
2
0
8
8
8
8
8
8
8
0
0
16
1
0
0
0
0
0
0
0
1
1
16
0
0
0
0
0
0
0
0
0
0
2
16
0
0
0
1
16
0
0
0
32
8
8
0
0
1
1
4
16
8
16
12
0
16
1
1
0
2
36
20
20
16
4
4
8
20
20
0
0
0
0
0
32
0
34
1
0
0
0
0
0
1
1
8
8
8
8
8
8
8
0
4
16
8
0
0
0
24
0
0
0
0
0
9
0
8
32
8
0
8
0
5
5
0
8
1
0
0
8
4
4
8
8
8
8
8
0
0
0
0
2
0
0
16
20
2
0
16
0
0
0
16
16
16
0
0
4
0
0
16
0
8
8
4
4
24
16
4
0
0
0
0
0
0
0
0
16
2
8
8
2
2
40
40
40
16
16
8
0
8
4
4
4
4
0
0
1
1
0
0
24
24
24
24
2
0
0
0
16
0
0
16
8
8
8
8
8
8
2
0
8
0
0
16
16
16
16
16
1
1
1
1
0
16
16
16
16
16
16
16
8
10
10
10
10
8
0
9
0
9
0
0
8
8
0
8
0
16
16
8
16
16
33
33
33
28
0
8
0
0
0
0
0
8
8
8
8
8
16
16
16
8
8
8
8
8
8
8
16
16
0
0
8
0
1
8
8
8
0
8
8
8
1
1
0
24
24
8
16
16
8
8
8
0
8
0
4
1
0
2
20
32
32
32
0
1
1
22
0
0
9
16
24
8
8
0
2
2
28
28
28
2
2
2
2
16
8
8
8
0
0
32
32
32
2
0
29
16
0
0
24
8
16
0
8
2
0
16
16
4
24
24
24
24
2
0
0
8
20
20
20
16
16
0
0
0
0
20
20
20
20
0
0
0
0
0
0
0
8
8
0
24
0
0
8
0
0
8
0
0
33
0
16
0
2
16
16
8
8
8
8
0
57
0
0
0
8
8
8
0
2
16
1
4
16
0
8
8
8
8
0
0
0
0
4
0
0
0
0
10
10
10
10
0
0
0
0
0
8
4
9
0
0
0
8
8
8
8
8
0
2
0
0
0
0
0
24
24
24
8
8
0
0
8
8
0
0
2
17
16
0
0
0
16
0
0
8
16
0
0
0
2
2
0
16
0
21
8
0
0
0
0
0
0
0
0
4
1
0
18
10
10
10
17
4
0
16
1
0
8
0
8
5
5
5
8
16
2
2
0
0
0
4
24
24
24
0
48
1
1
1
1
8
16
16
8
8
8
0
8
24
24
0
0
8
8
56
56
0
0
0
0
0
1
32
32
32
32
1
1
16
16
16
16
16
0
0
8
0
0
0
0
16
25
8
12
8
4
8
8
8
8
0
8
1
0
0
8
8
0
16
2
8
8
8
8
8
8
1
1
0
0
0
0
0
4
8
6
1
1
32
8
4
4
8
8
0
0
0
0
0
0
0
16
0
2
0
0
0
0
16
8
8
8
16
16
16
16
16
16
1
1
0
8
0
0
16
2
8
8
0
0
0
0
0
9
16
1
18
18
8
8
4
2
8
1
0
0
0
0
0
2
0
0
0
0
8
8
8
8
0
0
0
0
0
0
0
8
16
16
16
16
16
8
0
8
16
8
16
24
8
2
2
0
8
8
0
0
0
0
8
8
0
4
1
1
49
49
49
49
49
49
49
49
49
49
49
49
49
49
49
49
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
12
8
2
0
0
4
4
4
16
8
8
8
8
8
0
0
0
8
16
0
0
0
0
8
8
8
8
16
16
16
16
16
16
16
0
0
0
0
0
16
16
16
16
8
8
0
0
24
24
0
24
16
16
0
0
0
16
16
8
4
25
25
40
40
40
40
8
8
8
2
2
2
4
1
1
16
16
16
1
1
8
16
10
0
0
0
0
11
0
16
0
16
1
0
4
4
4
0
0
2
2
16
16
0
0
0
0
0
0
8
8
8
16
1
1
16
16
24
0
0
0
0
0
0
16
16
8
8
25
8
8
0
9
9
8
4
4
8
0
0
0
8
0
0
1
1
0
0
16
1
8
8
0
8
0
0
8
8
8
0
0
0
32
8
40
40
40
40
40
40
40
40
16
16
0
0
4
4
4
8
0
0
0
25
16
2
2
1
1
0
17
0
0
8
16
16
0
0
0
8
8
16
2
16
16
0
0
0
0
0
0
8
8
8
8
8
8
32
8
8
16
16
8
8
8
16
16
16
0
0
0
16
16
0
0
0
0
0
0
0
0
5
16
16
0
0
0
0
1
4
3
3
0
0
16
0
8
8
8
8
8
0
0
0
8
25
0
0
0
0
0
0
0
0
8
8
0
0
8
8
8
8
0
32
0
38
38
0
0
0
0
0
1
1
8
8
2
1
1
4
4
16
0
0
0
8
8
8
8
8
8
8
8
4
1
8
0
24
8
17
1
4
4
4
4
4
2
0
16
0
0
8
8
0
18
0
4
4
0
4
4
8
32
0
0
0
0
0
0
0
0
16
16
16
0
0
18
0
0
0
19
19
19
19
4
9
9
16
16
17
8
20
20
20
20
16
16
16
24
16
8
1
1
8
16
17
8
1
0
0
0
0
2
8
2
2
4
0
0
3
3
3
3
3
3
3
3
17
17
17
40
1
1
1
0
0
0
8
8
0
0
24
24
0
0
8
16
1
1
1
0
16
16
16
0
0
0
16
0
8
4
4
0
0
0
0
0
0
0
8
4
4
10
0
16
0
0
0
16
0
0
0
0
8
8
8
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
8
16
16
16
0
0
0
9
0
0
0
0
8
0
0
0
0
8
8
8
8
8
8
8
8
8
12
12
12
12
0
0
0
0
8
16
16
8
4
0
18
18
0
8
0
0
0
0
0
8
0
8
16
16
27
27
27
0
0
0
8
16
0
0
0
0
8
8
8
0
0
16
2
2
2
8
0
32
16
16
0
0
0
0
8
0
0
0
4
0
1
0
8
8
8
8
8
8
2
2
0
0
24
0
0
0
1
8
0
0
0
0
1
1
0
0
16
16
8
0
0
1
0
16
16
0
16
2
8
1
16
0
4
0
0
16
18
18
2
8
16
16
0
8
0
16
8
0
0
4
16
4
4
4
4
16
0
0
8
8
8
32
0
0
0
0
0
0
0
4
16
16
0
4
16
16
16
0
8
0
0
0
0
0
0
8
16
16
8
8
8
8
8
24
24
36
0
8
16
36
36
0
0
0
4
0
0
8
34
34
16
16
16
16
16
16
16
0
0
0
10
0
0
0
0
0
32
8
8
8
1
1
16
16
1
1
1
1
1
1
1
2
25
0
0
0
0
8
8
0
24
0
0
12
8
0
8
8
8
2
2
16
8
0
0
25
25
16
16
8
0
0
0
16
5
8
16
16
0
8
8
6
6
8
0
0
0
0
8
16
16
0
8
4
4
4
0
0
0
0
0
0
8
17
17
8
8
16
16
24
0
0
0
4
4
8
27
27
0
8
2
8
8
8
8
8
8
4
4
0
0
0
0
0
4
4
4
4
8
8
0
8
4
32
8
8
8
8
8
0
0
0
0
0
8
8
0
8
32
2
16
0
0
16
16
8
0
0
0
0
4
4
12
4
4
4
4
4
24
8
8
0
0
0
0
0
0
0
24
0
0
0
8
8
8
6
24
12
0
8
16
8
8
8
16
16
16
8
0
0
8
8
1
1
1
0
0
8
9
9
0
0
0
0
16
1
1
2
2
8
0
8
0
0
0
0
8
2
8
0
8
1
17
17
8
8
8
8
8
14
14
14
14
8
8
8
0
24
0
0
0
4
16
0
0
0
8
0
0
0
8
8
8
1
1
16
16
8
0
1
1
1
8
18
0
0
0
0
0
0
8
4
4
0
1
16
16
16
16
2
0
0
0
8
8
8
0
0
24
24
0
16
40
40
40
40
40
0
16
16
0
0
0
28
28
28
16
16
8
0
9
9
9
9
9
4
0
8
0
8
16
8
16
8
8
12
8
0
0
0
1
1
16
0
16
8
16
0
32
10
10
0
0
8
32
32
16
25
8
8
8
0
16
8
8
0
0
16
0
8
8
8
48
33
33
0
16
8
16
16
0
0
24
24
24
0
16
16
16
8
0
0
1
4
16
16
16
14
14
14
2
2
8
0
0
0
0
0
13
13
13
13
8
0
16
4
0
0
0
8
1
1
0
0
0
4
16
0
0
0
0
0
1
1
5
5
5
5
16
8
4
4
2
2
0
0
56
56
56
8
8
8
8
0
0
0
0
4
4
16
8
0
8
0
17
17
56
0
4
4
0
0
0
0
0
0
9
9
9
24
0
0
0
0
0
0
16
0
1
8
8
0
0
0
1
16
16
16
16
16
9
0
16
21
0
16
16
16
0
1
2
0
8
0
1
1
1
1
8
0
0
0
16
16
8
8
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
4
4
0
16
16
8
8
16
0
0
16
0
0
0
0
0
0
2
16
0
0
0
0
0
16
16
16
16
16
8
34
0
0
16
0
0
0
0
40
40
0
0
0
0
0
16
16
16
16
16
0
0
2
2
0
16
16
16
16
0
18
16
16
0
8
8
0
0
16
16
0
0
0
0
0
0
4
0
12
12
8
0
0
4
16
0
0
0
0
16
14
17
17
17
17
16
16
0
0
0
0
8
37
37
37
37
37
37
37
37
8
0
16
16
16
16
16
16
16
0
9
9
9
9
9
9
9
3
0
1
1
0
0
0
0
0
0
0
0
0
0
8
8
8
1
1
0
0
0
0
0
0
4
1
32
32
0
16
0
8
8
1
1
1
1
16
0
0
16
55
16
16
16
16
16
16
16
16
16
16
8
0
4
4
8
8
0
0
8
8
8
8
0
0
32
8
0
24
0
0
0
0
16
16
16
0
0
8
8
8
16
16
16
1
1
0
8
8
8
0
0
0
8
10
0
8
8
0
8
1
0
0
0
0
2
2
16
16
4
4
0
8
8
0
24
4
0
0
0
18
18
0
0
0
4
8
8
8
0
8
8
8
0
0
0
0
0
0
0
8
4
4
4
13
13
13
8
8
16
18
18
18
18
0
0
0
0
8
8
8
8
16
0
0
0
0
0
8
0
4
42
42
0
0
0
0
0
0
1
16
16
16
16
0
8
16
16
16
16
32
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
16
4
4
0
0
0
0
18
8
0
8
8
0
0
32
32
0
8
16
16
33
33
8
0
0
0
0
8
0
0
8
8
0
16
0
0
0
16
16
8
8
8
2
2
1
1
4
4
60
0
16
4
8
8
8
8
16
8
8
8
8
8
8
0
0
8
9
3
3
16
6
34
0
8
0
0
0
8
0
0
8
4
4
4
16
16
3
3
0
0
0
32
8
8
16
16
0
16
4
0
8
8
8
0
0
20
5
0
2
0
0
16
16
16
8
8
16
16
16
16
16
16
22
22
22
0
2
2
8
20
8
8
0
0
0
8
8
8
8
8
8
0
0
1
1
20
24
24
24
24
24
16
18
18
0
8
8
0
0
1
0
0
8
8
8
0
0
0
9
0
0
0
0
3
0
0
0
0
0
0
0
0
0
0
0
12
0
16
0
0
0
8
0
0
20
24
16
16
16
40
4
4
4
4
16
16
16
16
0
0
8
0
0
0
8
32
0
0
8
8
0
16
1
0
0
8
10
10
16
16
24
0
0
0
0
1
1
16
16
0
8
8
16
16
0
4
0
0
16
8
0
4
4
16
8
48
32
32
16
16
16
4
4
4
2
0
0
1
0
20
20
16
8
16
0
4
1
1
0
0
0
0
0
0
28
4
4
4
0
0
4
4
4
4
4
4
4
9
16
25
24
24
24
24
24
0
17
0
0
0
0
0
0
0
0
0
1
12
16
0
16
8
8
8
8
8
8
1
1
8
0
0
0
4
17
17
17
17
0
0
0
0
0
0
0
0
4
0
0
1
1
0
0
0
0
16
16
20
16
2
1
1
1
1
16
16
16
0
0
0
8
8
8
8
32
1
0
8
8
8
0
4
1
4
4
4
2
25
25
0
0
0
0
0
0
4
8
16
16
16
16
16
0
0
0
16
16
16
0
2
2
1
1
24
0
0
26
29
8
8
8
8
0
8
8
8
16
16
2
16
16
18
16
16
8
8
8
8
32
4
8
0
8
10
4
4
4
8
0
2
32
32
24
24
24
24
24
24
24
24
24
24
24
24
8
8
8
8
0
0
16
8
8
1
1
8
17
16
9
0
1
16
0
0
24
24
0
32
0
0
0
0
0
4
4
0
0
0
16
16
8
8
16
0
8
0
2
2
16
0
16
16
16
16
8
0
0
0
16
16
0
0
0
0
24
0
0
0
0
1
1
16
16
16
16
8
18
18
18
18
8
8
4
4
0
32
32
4
6
0
32
32
16
8
8
8
8
28
28
28
8
8
0
0
16
16
16
16
0
8
0
8
8
0
0
0
0
16
16
0
0
0
0
32
2
2
16
0
8
2
2
0
8
20
20
12
12
16
8
8
16
16
0
16
32
0
0
0
16
0
0
0
0
0
0
0
8
8
8
0
8
8
8
40
16
16
20
20
2
4
4
4
0
0
9
0
8
8
8
4
4
6
16
16
2
12
12
0
0
2
2
0
0
0
0
8
8
8
0
0
16
16
16
0
13
8
8
8
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
32
32
8
0
0
0
16
0
0
4
0
16
8
0
16
8
16
16
8
8
16
0
32
0
0
16
16
16
16
16
32
4
0
0
8
12
8
8
32
32
2
2
2
0
0
20
2
2
29
16
16
4
0
0
0
16
16
8
8
2
16
0
0
8
8
0
41
41
8
8
16
16
17
17
17
17
8
8
1
1
8
8
44
0
0
0
0
0
0
0
0
8
16
0
18
18
18
2
2
4
8
0
0
8
0
0
0
24
24
24
32
8
0
0
0
0
0
0
0
0
18
32
0
0
6
6
0
1
1
1
16
0
16
9
9
9
8
8
8
0
0
0
8
0
0
8
8
0
1
17
0
0
0
0
16
4
8
0
0
0
0
0
0
0
0
0
32
0
8
8
9
8
8
8
8
0
0
16
0
0
0
0
0
12
8
6
6
8
1
1
1
1
0
0
0
0
0
0
8
8
8
8
8
8
8
0
0
0
0
0
0
0
0
0
4
8
2
24
0
16
16
16
16
16
8
8
4
4
8
4
0
0
0
0
0
4
44
0
0
0
0
0
0
8
1
0
4
4
0
1
4
4
8
4
0
4
4
4
4
16
0
0
0
0
16
8
0
0
0
1
0
0
0
8
8
8
2
0
16
16
16
0
0
2
42
42
42
42
3
3
24
0
0
8
0
8
0
0
0
12
0
16
16
16
0
0
0
3
3
0
0
0
0
1
0
0
16
16
16
4
0
5
8
8
8
8
0
1
1
8
32
0
8
10
16
18
18
0
0
0
16
8
0
0
0
8
1
0
0
0
0
0
0
0
0
24
24
0
8
8
8
4
4
4
4
4
4
0
16
16
8
0
25
2
2
8
0
0
13
8
8
8
8
16
16
16
1
1
1
0
56
0
16
17
12
0
0
0
8
8
4
4
4
0
0
0
8
0
0
0
0
60
60
0
8
8
1
12
12
24
24
24
24
8
8
1
1
0
0
1
40
0
1
1
16
48
16
16
16
16
8
8
16
16
16
8
8
8
0
0
8
0
0
16
16
6
4
1
1
4
4
16
16
16
16
0
0
0
1
0
33
8
0
16
16
3
16
16
16
4
16
0
8
16
1
1
16
16
16
16
8
8
20
8
0
0
8
8
8
8
16
16
0
1
2
8
0
0
0
0
8
16
1
1
1
0
4
4
4
4
4
4
0
0
0
0
1
1
1
16
16
19
19
19
16
4
0
16
16
0
0
0
8
16
8
0
0
0
8
8
0
0
20
16
8
0
0
0
0
0
0
8
16
16
16
32
32
0
8
8
8
0
1
1
1
1
8
8
0
0
0
0
16
4
4
0
0
0
8
0
0
0
0
0
0
16
0
16
24
0
0
4
16
5
16
16
16
0
8
8
16
16
1
1
1
1
8
2
56
8
16
1
4
16
0
32
1
1
1
0
1
1
1
0
0
8
8
0
8
0
0
1
1
1
16
4
2
0
4
8
0
0
24
4
8
8
8
8
1
2
0
17
17
8
24
24
0
16
16
0
16
2
8
8
0
4
0
0
1
0
0
0
0
16
16
16
16
16
12
0
0
0
34
12
8
8
0
0
0
0
8
0
0
0
0
0
0
32
32
0
4
4
10
0
0
2
2
2
16
0
0
0
0
0
0
0
0
0
0
8
1
1
0
8
0
0
0
0
0
0
8
0
8
0
16
0
24
0
0
2
8
8
1
1
1
2
1
16
16
16
16
16
16
0
0
0
1
4
4
4
8
8
8
8
8
1
1
1
0
0
5
5
5
8
0
16
0
0
10
0
8
0
16
16
0
0
0
2
2
16
0
0
20
4
0
0
0
0
20
0
4
12
4
4
0
0
0
0
0
32
32
8
0
0
8
2
2
2
8
8
0
4
1
4
4
16
16
16
1
1
20
8
1
0
16
22
0
32
0
8
1
1
0
8
0
1
1
0
8
16
8
0
0
16
16
16
16
16
8
0
9
9
9
9
4
24
0
0
0
0
0
0
16
4
0
0
8
8
8
16
16
2
25
0
0
0
0
0
0
0
0
0
8
8
5
8
32
32
32
32
32
32
16
16
16
8
20
20
0
0
16
16
16
16
16
16
16
16
16
16
16
32
12
0
10
0
16
16
0
16
0
0
4
16
30
30
8
0
0
8
26
0
8
16
0
22
22
0
0
16
8
0
8
16
1
1
1
16
8
0
0
4
0
52
52
8
8
8
0
0
6
6
6
8
2
1
0
16
16
0
0
0
8
16
0
0
0
0
0
24
16
8
8
4
4
8
8
16
24
8
8
8
0
1
9
8
8
8
8
8
16
8
4
0
0
22
0
0
4
4
16
16
16
0
16
0
1
16
32
24
16
0
0
0
8
8
8
8
20
20
20
20
0
0
0
0
2
8
8
16
16
10
0
8
16
2
2
2
8
8
4
1
8
0
0
0
0
8
17
17
17
24
24
0
20
20
8
8
8
8
0
0
0
8
16
0
0
0
4
4
8
8
16
16
8
8
0
4
4
0
0
8
8
6
6
6
4
0
0
32
0
0
0
1
8
8
8
4
4
4
0
0
0
1
1
6
24
0
0
8
8
8
8
0
4
2
2
4
4
4
32
16
16
16
16
16
16
16
16
8
8
12
8
16
16
16
8
8
4
4
4
4
10
10
1
8
0
0
0
16
16
16
8
8
56
56
56
8
24
4
4
4
4
16
16
16
0
0
0
0
32
32
4
4
16
16
1
16
8
24
16
16
0
32
8
8
18
18
0
8
12
0
0
0
0
8
8
2
2
2
2
0
0
16
16
16
16
32
0
0
0
8
0
0
0
2
0
0
0
0
16
16
8
0
0
8
0
0
0
0
0
0
0
0
8
2
2
2
0
0
0
1
1
8
16
16
16
16
0
0
4
0
0
0
16
8
8
8
0
8
0
2
0
0
0
8
1
2
8
8
0
0
0
0
1
32
0
2
2
2
2
0
16
0
0
0
0
9
12
16
16
0
0
16
16
0
0
32
1
1
1
8
9
9
0
0
0
0
0
16
0
0
18
18
18
0
0
0
0
0
4
4
20
0
0
8
24
24
24
25
9
0
24
8
1
8
0
8
8
0
0
8
8
0
0
0
24
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
19
19
8
8
0
16
16
1
16
16
16
16
1
4
4
0
0
0
0
0
0
0
16
16
16
8
8
1
0
16
0
0
1
1
0
8
4
4
0
8
8
0
0
8
16
16
1
17
16
16
16
16
16
16
16
16
16
16
3
0
0
16
0
0
0
8
8
0
0
1
2
2
2
16
16
0
0
0
0
0
4
0
2
0
9
9
9
4
4
0
0
4
8
16
32
0
0
0
0
16
16
0
0
0
0
0
1
0
50
50
16
8
0
0
0
0
0
0
0
8
16
8
8
4
16
16
16
16
16
0
0
0
0
0
0
0
8
0
8
8
0
0
0
0
0
0
8
4
0
0
0
0
8
8
8
8
8
8
8
8
8
0
8
8
8
8
8
8
8
16
16
0
0
0
4
0
0
0
0
0
6
8
8
8
0
0
0
0
16
16
8
8
4
4
4
4
4
4
4
0
0
1
1
16
16
0
0
0
0
0
0
0
4
4
0
0
8
0
0
0
8
0
0
0
16
16
1
0
0
0
0
0
0
0
1
16
0
0
8
8
0
4
8
16
16
16
16
16
16
0
16
16
16
16
0
16
16
16
0
8
16
16
0
0
0
0
0
0
16
24
8
1
24
24
0
0
0
0
32
0
12
12
8
8
0
1
16
16
2
2
2
2
8
8
8
16
16
2
3
3
3
8
18
18
16
16
16
0
0
8
1
1
8
1
1
16
1
1
8
8
8
8
8
8
8
8
0
0
0
16
8
8
8
16
0
17
8
8
8
8
8
8
4
0
0
0
0
0
8
8
0
0
0
0
0
32
32
0
0
0
2
4
0
0
8
1
1
1
12
1
8
0
0
8
0
8
0
0
18
18
8
16
16
2
0
0
0
0
0
0
0
0
0
8
0
0
16
0
0
8
8
0
0
0
0
0
16
16
2
8
8
0
0
16
0
14
4
8
8
8
0
0
0
4
0
0
0
0
2
59
48
48
0
0
20
20
20
20
20
8
4
4
0
32
8
0
1
1
8
0
0
0
16
1
16
16
4
4
0
8
8
8
8
8
8
8
0
16
32
32
8
8
8
8
18
32
8
8
0
0
0
0
0
16
16
16
16
19
19
0
0
0
4
4
4
4
4
0
16
16
32
4
8
8
8
8
0
0
0
32
32
0
0
8
2
8
0
0
1
1
16
8
0
21
8
0
0
8
16
8
8
8
8
8
8
8
0
1
2
2
8
8
0
0
0
0
0
4
8
0
0
1
1
1
0
16
12
16
0
0
8
32
0
8
4
4
8
24
32
2
20
42
1
0
19
19
19
19
12
4
21
8
0
8
16
4
8
24
0
0
40
40
32
32
32
2
0
16
16
0
0
8
2
2
2
32
1
16
0
8
8
8
8
8
8
8
4
1
8
24
24
8
0
0
0
2
0
0
0
0
0
0
0
0
8
4
1
0
0
0
8
8
18
18
0
0
56
56
56
0
2
2
16
16
16
16
8
8
16
12
4
4
0
0
0
9
0
8
8
0
32
20
8
8
8
0
0
0
16
2
2
1
0
16
16
16
16
16
16
16
16
16
16
16
4
24
0
0
8
0
2
2
2
2
16
16
8
8
16
0
16
16
16
8
8
16
16
16
16
0
16
16
0
0
16
4
16
16
4
16
16
0
1
0
0
16
0
2
2
0
0
0
0
16
4
0
1
0
16
16
16
0
0
0
16
16
16
0
0
0
0
0
0
0
32
8
0
0
8
16
16
8
8
8
8
4
0
8
0
1
16
16
0
0
2
2
8
0
8
0
0
0
32
8
8
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
8
16
8
8
8
4
16
0
0
0
0
0
0
0
0
0
0
16
16
16
32
32
0
0
8
22
22
16
8
0
8
12
0
0
0
8
16
16
2
8
8
16
4
0
0
0
1
0
4
1
0
0
2
2
28
0
32
32
0
0
8
8
8
0
0
0
0
8
8
0
0
32
8
8
1
28
0
8
8
8
8
0
0
30
8
24
24
0
0
16
0
0
0
0
8
8
8
8
8
16
1
2
2
2
2
0
0
0
0
0
0
8
16
16
8
8
0
0
8
8
8
8
0
8
4
17
49
49
0
0
8
8
0
24
32
8
0
16
16
8
8
0
0
8
8
8
25
1
0
0
0
0
8
8
8
0
4
4
4
0
0
0
0
1
16
8
8
8
4
0
0
8
8
8
8
8
8
8
8
8
0
0
0
0
8
24
0
0
0
16
8
8
0
0
4
8
8
16
8
0
0
0
0
20
20
8
32
16
16
16
0
8
16
16
0
46
46
46
8
0
0
8
8
24
0
0
0
0
0
0
0
16
0
0
8
8
4
0
8
8
8
8
8
8
17
16
4
8
16
16
16
16
8
0
0
8
8
0
0
0
16
0
24
0
0
0
0
20
12
0
0
1
1
1
8
0
0
12
12
8
0
0
0
0
8
1
16
0
8
8
12
12
12
0
0
0
0
0
0
0
0
0
16
0
0
0
1
16
16
2
24
8
0
8
8
8
0
16
16
8
0
0
1
0
0
0
16
4
8
0
5
5
0
24
0
0
24
24
8
8
8
8
8
8
8
0
0
0
1
0
0
0
2
0
16
16
0
0
0
0
0
8
16
25
0
0
0
1
0
16
8
8
8
16
16
8
8
16
16
16
16
0
0
8
8
8
8
8
8
0
0
0
0
0
0
16
16
16
0
0
0
0
0
0
0
48
48
8
8
8
8
0
16
16
16
0
8
2
2
33
16
16
16
16
0
0
16
24
0
0
0
0
0
0
0
0
0
0
16
8
59
0
0
8
16
0
0
9
9
0
8
8
4
0
0
0
16
0
16
16
16
9
9
1
0
0
1
8
0
0
0
16
16
8
8
4
4
4
24
0
0
0
16
0
0
0
0
9
0
0
0
0
16
0
0
0
8
2
8
8
12
0
0
0
0
0
0
16
4
8
0
0
32
32
0
0
0
0
1
0
0
16
0
0
8
16
2
0
24
39
0
0
0
16
32
32
32
2
2
8
0
0
0
0
0
8
4
4
16
16
0
0
4
16
0
0
0
48
8
0
0
32
0
0
8
0
18
18
16
16
4
16
0
2
2
2
2
2
16
1
0
16
1
1
1
8
0
32
32
0
8
8
8
8
8
8
8
8
4
4
8
0
0
20
8
2
2
2
2
0
0
4
16
8
8
0
0
0
0
2
2
2
2
2
32
32
32
32
4
4
0
0
0
0
8
8
57
16
16
0
0
0
0
0
0
16
32
2
0
1
1
16
0
16
0
0
0
2
1
1
8
24
16
16
0
4
0
4
2
2
2
2
8
8
12
32
0
2
0
0
8
8
8
16
26
1
0
16
16
16
32
16
16
0
2
0
25
2
2
8
8
8
8
16
24
0
0
0
0
32
32
4
4
16
8
20
20
20
8
8
0
0
0
0
0
24
8
0
0
0
8
0
2
2
32
1
0
16
0
0
0
0
6
0
16
16
0
8
4
25
25
16
16
8
8
8
8
1
1
5
5
16
0
8
4
0
0
8
8
8
0
0
0
16
16
16
0
16
2
2
2
2
2
8
0
16
4
4
4
10
10
16
4
8
17
16
16
16
16
8
16
0
35
35
8
8
0
0
8
8
8
8
8
8
8
8
8
8
1
28
28
28
8
8
0
1
1
8
8
33
33
33
0
0
16
0
33
33
8
32
32
1
1
1
8
26
0
0
4
0
0
0
48
48
48
48
8
8
1
1
1
1
16
24
24
24
1
8
0
0
0
0
5
8
1
1
1
8
24
0
0
16
14
16
16
8
2
0
34
0
0
0
1
16
16
48
48
0
8
22
22
4
2
16
16
0
0
0
34
0
0
0
0
0
0
0
4
4
4
0
0
0
16
8
17
17
17
0
0
8
8
0
0
0
16
8
12
0
0
0
9
9
9
9
9
9
9
16
16
0
8
0
0
0
16
0
0
0
0
0
8
0
0
1
17
17
0
16
16
16
16
16
1
2
4
0
16
16
0
8
0
0
0
0
0
4
2
0
2
1
8
8
8
8
0
0
0
0
8
1
0
0
6
1
8
8
8
0
4
8
0
0
0
16
0
16
16
16
33
1
16
16
0
16
1
16
16
16
8
16
16
0
8
0
0
0
16
8
1
4
4
8
0
0
0
8
8
24
24
0
16
0
8
16
16
16
1
1
1
24
0
0
0
8
3
24
24
24
0
8
16
16
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
16
1
8
0
16
16
0
0
0
0
0
4
4
4
0
16
8
8
8
8
8
8
0
0
4
57
57
0
0
0
0
16
16
16
24
0
32
8
8
8
0
9
9
9
9
9
9
2
0
32
8
16
16
8
48
48
0
32
0
8
16
16
16
8
1
8
8
50
0
0
4
4
8
0
16
16
0
32
32
32
32
32
16
16
16
4
0
0
1
1
24
0
0
0
0
16
0
0
0
0
0
9
9
10
0
0
8
8
8
1
1
8
8
8
8
8
8
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
32
32
16
8
8
8
8
16
16
16
12
16
0
0
0
0
0
1
0
0
0
0
4
0
0
0
0
8
1
2
8
0
0
4
4
25
25
8
8
8
16
16
16
0
16
8
0
0
0
42
0
16
16
22
22
0
1
1
12
12
12
16
0
16
0
0
0
0
0
8
8
8
8
8
0
8
8
8
0
0
0
0
0
0
0
4
2
0
0
0
0
0
4
4
8
0
16
16
0
0
0
8
0
0
1
24
24
16
0
0
0
0
0
2
2
16
16
0
0
16
16
16
9
16
0
0
16
16
0
16
8
8
8
8
6
16
24
0
16
8
0
0
0
16
16
10
32
0
0
0
0
0
0
8
0
0
16
16
4
4
4
49
49
49
16
8
0
0
0
44
8
16
16
0
0
4
4
32
32
32
1
0
8
8
1
16
4
4
4
4
4
0
0
16
0
0
0
0
16
16
16
16
0
0
0
0
4
4
8
8
10
0
8
4
4
1
8
0
20
4
0
0
0
0
8
4
48
0
4
4
4
0
0
32
8
8
2
2
0
0
4
0
0
0
20
41
41
0
8
8
2
16
16
16
16
16
0
16
16
0
8
18
3
3
3
1
0
0
0
0
20
20
8
0
0
0
16
16
16
16
0
1
0
4
4
16
34
34
16
0
0
57
57
57
8
8
16
16
4
16
16
16
16
16
16
32
32
0
0
0
1
1
17
2
0
16
16
16
16
5
5
0
16
0
0
0
1
1
16
16
16
0
16
0
18
18
18
16
0
0
2
0
0
0
0
0
16
1
20
20
4
4
0
0
0
0
0
0
0
24
32
32
32
4
17
8
16
9
0
0
0
0
16
8
8
8
4
4
8
0
0
8
16
16
16
16
8
8
24
16
0
16
16
0
1
1
16
8
8
8
28
0
0
16
0
4
4
4
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
8
0
16
16
16
16
16
8
8
0
0
0
16
16
8
0
8
0
5
5
5
5
24
24
24
0
8
0
0
8
16
16
16
8
8
16
0
0
0
24
24
24
24
18
2
1
16
16
8
8
8
0
0
0
0
0
0
0
4
4
4
4
4
1
16
0
8
57
0
0
0
0
0
0
0
0
33
32
8
8
8
0
2
2
2
2
2
2
4
4
16
16
8
8
8
0
0
2
2
16
8
0
1
1
12
0
9
0
8
0
1
1
1
0
0
0
8
8
0
0
0
0
0
8
0
4
9
9
0
0
0
18
18
18
18
8
8
0
0
0
16
0
8
0
0
0
1
1
0
16
16
2
2
2
0
0
0
16
16
16
2
1
0
1
8
0
0
0
0
0
32
32
8
0
0
0
0
1
1
0
8
0
2
2
0
0
0
32
0
8
10
0
16
1
1
1
20
20
20
0
0
0
0
0
0
20
16
8
0
0
0
20
0
0
1
1
16
16
8
16
16
16
16
9
8
1
1
1
1
4
4
8
8
8
17
17
16
16
16
16
16
2
0
0
0
0
8
8
8
8
2
2
2
4
8
16
16
16
8
8
6
16
16
16
24
2
2
16
16
16
16
8
8
8
0
8
0
0
0
24
24
24
0
16
16
16
16
16
0
0
8
0
0
0
16
4
4
0
0
4
4
0
8
8
8
8
8
8
8
8
8
8
18
8
4
4
4
4
4
4
4
4
24
0
0
0
16
16
0
8
0
8
8
9
9
16
16
16
16
16
0
16
16
8
4
5
16
16
16
16
16
0
16
4
32
16
8
8
8
4
4
0
0
0
32
32
32
16
0
8
8
8
0
16
16
16
16
0
0
16
16
16
2
2
0
0
24
0
0
0
8
8
0
0
0
0
8
0
32
0
4
0
32
24
8
0
0
8
0
0
0
16
0
8
8
8
8
8
0
16
2
2
8
18
0
0
8
0
8
0
8
1
1
1
0
0
0
0
8
0
32
0
0
0
16
0
16
16
16
0
0
16
8
0
0
0
0
34
11
0
0
16
16
16
4
4
4
4
4
4
4
0
0
48
48
0
16
0
1
0
0
0
0
4
4
4
4
0
0
8
8
8
0
0
0
8
40
40
40
8
0
16
16
16
16
16
0
0
8
8
8
8
1
8
8
0
0
8
16
0
0
4
0
32
32
8
1
1
0
0
0
2
1
0
24
0
8
18
0
0
0
16
0
0
0
0
0
0
0
0
0
8
0
0
0
0
1
16
0
16
16
16
16
0
1
0
16
16
16
16
16
16
16
0
0
0
0
16
16
8
24
1
12
40
40
40
2
0
0
8
8
8
8
8
8
4
4
16
16
16
1
0
16
32
0
0
16
16
16
1
8
32
32
16
16
16
8
0
16
16
16
4
4
4
4
4
0
0
0
0
8
16
16
16
16
0
0
16
1
16
16
8
0
0
0
0
0
8
8
2
2
2
40
48
2
8
0
0
0
8
8
8
1
1
8
8
8
16
24
24
32
32
1
1
8
0
8
8
8
8
8
8
32
32
32
32
32
32
16
1
0
0
0
0
8
8
4
4
4
4
4
12
0
0
18
18
18
18
18
0
0
0
4
16
16
0
1
1
0
0
0
0
0
1
1
0
8
8
8
40
0
0
0
4
4
0
4
0
0
8
8
0
0
0
0
0
2
0
0
0
24
24
1
0
12
12
12
16
0
16
16
16
8
16
0
0
4
4
32
32
16
16
8
0
0
32
0
24
12
12
0
0
0
0
0
0
1
0
16
0
0
0
0
8
4
4
4
0
8
8
0
8
0
0
0
2
30
30
8
8
4
4
4
0
0
0
0
16
10
8
32
4
4
0
0
0
0
0
8
0
16
16
16
16
16
16
16
16
16
16
16
32
0
0
16
16
0
0
2
0
1
3
3
0
16
8
0
8
8
16
0
0
16
16
0
0
16
16
0
0
0
8
8
1
1
1
0
1
16
0
0
1
1
1
1
8
16
16
8
2
2
2
25
0
16
16
16
18
40
16
0
0
0
0
8
8
8
8
0
0
16
16
0
13
13
0
0
0
0
0
0
0
4
4
0
0
0
0
8
8
8
0
16
16
0
0
0
2
2
2
2
48
0
0
0
0
0
0
0
0
0
8
8
0
2
8
0
0
0
32
32
16
0
16
16
16
4
4
4
4
4
52
52
0
0
4
8
8
17
17
2
2
4
1
1
4
4
8
8
4
0
0
8
8
8
1
4
16
16
16
8
8
8
16
16
0
0
0
0
0
0
0
8
0
16
0
0
24
16
16
16
0
0
48
48
16
20
16
0
8
1
0
0
8
0
0
0
16
16
16
1
16
16
2
2
2
1
8
8
0
0
0
4
4
16
0
0
16
16
16
0
0
2
0
4
16
16
0
1
1
4
0
0
0
0
0
0
0
0
16
16
4
16
16
1
8
0
0
8
16
0
16
1
1
0
2
2
2
27
27
27
0
0
12
12
60
8
24
2
2
0
0
0
10
10
8
0
0
16
16
8
4
0
0
8
8
8
8
0
8
8
8
1
0
0
21
21
21
21
0
16
4
0
0
0
4
4
4
1
8
0
4
4
8
0
8
0
20
4
0
0
8
12
12
0
0
16
16
16
16
8
0
8
2
16
32
16
0
0
0
0
8
1
1
0
0
0
0
16
16
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
16
4
8
0
0
2
2
2
0
0
0
0
8
8
24
8
1
8
0
4
4
4
4
4
4
4
4
4
0
0
0
1
8
8
8
8
8
0
0
8
0
0
0
0
12
12
12
2
2
2
16
8
8
24
24
0
8
2
0
0
8
8
8
0
0
0
8
0
0
0
8
4
16
0
0
0
0
0
0
8
0
0
16
16
16
8
8
8
4
8
8
16
41
40
16
4
4
16
4
4
48
16
5
8
0
0
1
0
32
0
0
28
16
16
4
4
4
1
8
8
8
8
4
4
4
4
4
2
1
4
4
58
16
5
5
5
5
16
16
16
0
1
1
8
8
0
0
0
8
8
28
0
2
0
8
12
12
12
12
0
8
2
2
0
16
1
1
16
16
2
0
0
0
8
0
0
0
0
16
16
0
8
8
0
0
16
16
8
0
0
0
0
0
16
1
1
1
8
16
32
8
8
0
0
0
0
0
0
24
16
16
0
0
0
0
0
0
16
16
16
2
0
0
0
8
0
0
0
0
0
32
0
0
0
0
0
0
8
1
1
0
8
0
0
3
3
0
0
0
0
4
0
0
8
4
8
0
16
0
4
4
0
0
0
16
0
24
24
24
24
0
8
0
0
0
16
16
19
1
8
0
8
0
2
0
0
24
24
8
0
0
0
0
47
16
8
8
8
0
0
0
0
0
0
0
8
0
0
0
0
0
8
8
8
18
1
16
16
52
8
32
0
0
2
1
8
8
39
0
0
4
0
0
8
8
8
24
24
24
0
8
8
8
8
8
0
32
4
0
16
0
1
0
0
1
8
8
0
3
3
0
0
0
8
8
8
16
40
0
0
20
32
16
8
2
0
0
0
0
8
0
0
8
8
0
0
0
0
0
0
0
8
16
8
20
20
20
20
1
1
16
16
8
8
20
20
0
8
16
16
16
16
16
16
16
16
16
20
0
0
16
16
16
16
16
16
16
24
16
16
16
16
16
24
24
19
19
19
0
0
0
16
16
16
16
16
0
0
8
8
0
0
0
16
16
16
8
0
0
0
8
4
0
0
8
0
16
16
16
4
4
16
0
0
8
16
0
0
0
0
4
4
0
32
0
0
0
0
16
16
2
0
4
0
8
8
8
0
0
0
0
1
0
30
30
4
4
4
4
4
4
40
40
3
3
4
4
0
8
8
8
8
0
0
0
0
0
0
0
0
0
0
16
8
16
0
0
0
0
8
16
0
16
0
4
0
8
16
1
16
16
16
16
0
0
24
16
0
0
16
1
0
0
0
0
16
0
8
2
2
16
24
24
32
1
16
8
8
8
8
4
0
8
0
0
0
8
8
8
0
0
16
2
2
1
2
2
2
2
2
16
16
8
0
8
25
16
16
32
0
16
0
0
0
0
0
8
4
8
8
8
8
0
18
16
0
0
0
0
0
0
0
0
0
9
8
8
8
16
16
16
32
24
24
24
9
16
0
0
0
0
0
1
1
1
0
0
0
16
1
0
36
36
36
36
48
2
0
0
0
0
0
0
0
0
0
0
16
16
33
0
0
0
8
0
0
0
0
12
12
16
16
8
8
8
16
4
4
4
4
4
8
16
56
56
2
16
0
0
0
0
16
16
16
16
1
1
16
16
4
0
0
8
32
32
2
8
8
0
26
26
26
12
0
0
0
32
0
16
16
16
16
0
0
8
8
0
16
0
24
8
0
8
8
8
0
0
0
0
20
0
0
0
0
8
0
1
1
0
0
0
0
0
8
12
0
0
8
16
16
8
16
16
8
0
0
0
0
8
8
4
4
16
8
0
4
18
0
0
0
4
4
8
8
0
8
8
0
0
0
17
0
32
16
17
17
17
2
8
4
16
4
4
0
16
0
0
5
5
2
20
6
0
0
8
8
0
0
32
32
0
1
16
4
8
8
0
11
8
8
32
32
0
0
18
0
0
0
16
16
8
1
0
0
0
0
1
8
8
8
4
0
16
16
16
16
16
16
16
2
2
16
24
8
8
8
0
4
4
4
0
16
8
12
12
2
2
0
0
2
2
8
32
32
0
16
0
0
0
0
0
16
0
32
0
0
0
0
0
0
1
0
0
16
8
6
6
4
16
20
0
16
8
16
16
0
0
16
16
16
16
0
0
0
18
18
26
32
16
0
0
0
0
0
0
0
2
0
0
12
8
16
0
0
0
0
1
0
2
0
0
0
16
0
0
8
0
16
0
32
2
8
8
8
8
2
0
0
0
0
0
8
16
16
0
8
0
0
0
0
4
4
4
1
17
0
0
0
1
8
16
24
8
8
8
1
8
0
0
20
20
16
24
24
0
0
0
8
8
8
8
8
8
8
8
8
8
2
0
16
16
16
16
16
0
8
8
8
8
24
1
0
8
8
8
0
28
28
28
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
16
0
34
0
17
17
9
34
32
0
4
0
0
2
2
2
0
16
16
4
4
0
0
2
0
16
16
16
16
16
0
0
24
1
0
0
0
8
8
0
0
0
0
4
16
2
2
2
8
2
2
1
0
0
0
0
0
4
4
17
4
1
8
8
0
0
16
8
8
1
1
0
4
16
16
16
0
0
8
2
12
0
16
16
2
8
8
8
0
8
40
0
8
0
0
0
0
0
0
0
8
8
8
8
16
16
8
16
16
8
8
8
8
0
0
8
32
24
16
0
0
0
0
0
0
8
4
4
16
16
16
16
0
0
0
0
0
0
8
0
16
0
0
16
0
0
0
0
16
16
8
4
4
4
0
16
0
0
20
20
20
0
0
0
0
0
0
0
0
0
0
0
24
0
0
8
0
0
2
4
4
0
0
0
8
12
12
8
0
12
12
4
0
8
0
0
0
8
8
8
0
0
0
0
8
0
0
0
8
0
48
48
1
8
8
8
0
0
0
0
0
0
0
16
0
0
0
0
8
8
8
8
8
8
8
0
16
20
16
16
16
16
5
5
16
16
16
0
0
24
0
0
8
16
0
1
8
8
10
1
9
9
8
0
0
17
1
1
0
0
0
16
0
8
8
0
16
0
0
0
0
0
0
8
0
0
0
1
1
1
1
1
1
1
0
8
8
20
24
24
24
0
16
4
0
0
8
0
0
16
16
16
16
16
0
8
4
0
8
8
8
28
8
0
8
0
2
2
0
8
8
8
8
8
8
4
4
4
4
4
0
0
8
8
24
24
24
0
1
4
4
4
0
16
0
0
0
0
0
0
0
0
0
4
20
4
8
16
8
0
0
8
8
8
0
4
0
0
16
0
0
0
0
0
0
1
0
0
4
2
8
8
8
8
10
4
0
8
4
4
4
0
0
16
0
1
1
1
0
0
0
0
20
20
20
16
8
8
8
8
8
0
8
0
16
2
16
16
16
16
16
16
8
16
16
4
8
16
16
8
8
8
8
1
2
0
16
8
8
8
0
17
17
32
0
0
8
8
32
0
0
18
16
16
0
0
9
9
2
16
16
16
16
16
16
8
8
8
0
0
0
0
0
0
2
0
0
0
8
8
8
6
16
32
32
32
32
0
0
2
8
0
8
0
0
0
16
16
16
16
0
32
0
8
8
8
0
0
0
0
8
36
36
36
36
36
4
8
0
0
0
12
0
1
1
1
8
8
8
8
0
0
0
16
4
4
16
4
16
16
16
16
16
16
16
16
4
0
0
18
18
18
16
16
1
16
0
0
0
0
16
0
32
16
0
0
0
0
0
0
0
4
16
0
8
8
2
0
0
8
16
8
8
8
0
8
0
2
2
0
0
0
16
4
0
0
1
1
4
0
0
32
32
32
16
16
0
32
32
32
8
8
0
0
0
2
0
0
8
1
1
0
8
8
8
4
0
8
8
0
8
0
0
0
16
16
16
16
1
2
0
4
14
14
14
0
8
8
0
0
0
0
0
0
16
16
24
16
16
16
16
0
0
24
1
0
16
16
16
16
16
0
16
8
8
8
8
8
24
32
16
24
8
0
16
8
4
4
0
0
0
0
16
2
2
4
8
0
1
8
0
8
0
0
16
16
16
4
4
4
16
8
8
8
8
8
8
0
8
8
2
4
0
8
8
8
8
8
8
8
1
1
0
8
0
0
0
5
0
8
8
0
16
2
0
0
4
16
0
0
60
0
0
0
0
0
0
8
0
0
0
16
0
0
0
4
0
4
4
8
0
0
8
12
8
20
20
20
0
0
16
8
8
2
2
0
1
16
4
0
0
0
0
0
0
2
16
0
16
16
0
1
1
1
1
1
0
20
1
1
8
0
0
0
0
0
0
0
8
8
8
16
8
0
8
0
0
0
0
8
32
32
32
24
16
0
0
0
0
8
0
16
16
1
16
0
0
20
4
4
0
0
9
3
3
1
16
16
0
0
8
8
16
16
4
0
8
8
0
16
16
16
0
16
16
0
33
16
16
16
0
16
16
8
24
16
8
8
4
8
8
8
8
8
8
8
8
0
6
6
28
28
0
0
8
4
8
0
18
8
8
0
0
0
0
16
2
2
8
4
8
0
0
0
0
0
8
16
8
8
0
1
0
2
0
16
8
0
48
14
14
2
2
32
32
32
8
8
0
0
0
0
2
2
2
8
8
4
0
16
16
16
16
1
1
0
8
17
17
8
0
24
4
0
0
33
0
0
12
12
12
12
12
12
0
0
8
0
8
8
8
0
12
0
0
1
16
32
1
1
1
1
4
16
0
0
0
8
0
25
4
15
42
42
0
8
8
0
0
0
0
16
0
0
16
16
1
17
0
0
0
0
8
0
0
0
0
34
0
16
16
8
32
16
0
4
4
1
1
1
8
0
0
0
0
1
0
16
16
2
8
48
0
0
8
8
8
8
8
8
8
8
8
8
0
16
0
8
8
8
0
0
0
0
8
1
0
4
0
8
8
8
1
1
16
2
16
8
25
25
16
16
16
20
20
20
0
8
0
8
0
0
0
0
0
8
1
1
8
8
8
8
4
1
0
1
1
0
0
2
2
2
2
2
2
16
16
0
0
0
16
16
8
8
8
8
8
8
0
2
2
8
8
8
8
8
16
16
16
2
2
8
0
9
16
16
20
0
2
8
0
0
0
0
0
0
0
0
0
3
8
20
0
1
1
12
12
12
0
0
0
0
0
0
4
4
4
4
0
0
0
0
0
0
0
9
9
0
0
8
8
8
8
18
4
4
4
16
16
8
0
0
0
17
2
1
1
1
1
8
8
0
1
1
1
1
0
0
16
8
8
8
8
12
36
16
0
49
49
0
0
0
8
20
20
8
16
57
4
4
32
1
0
16
16
0
0
16
0
0
0
0
0
0
8
0
0
8
8
8
8
8
2
0
16
8
0
8
0
0
0
0
0
16
16
0
16
16
16
16
16
0
1
17
0
0
0
16
60
60
0
0
0
0
8
8
2
8
0
0
36
36
36
36
2
2
2
0
0
16
2
8
40
0
8
0
0
0
2
4
0
0
0
0
0
16
16
0
0
16
16
0
16
16
0
0
16
0
0
0
0
0
0
2
0
8
0
16
0
0
0
0
16
16
0
0
16
8
8
8
8
8
0
1
1
32
32
4
32
32
16
8
8
20
0
0
0
0
0
8
0
16
0
0
0
32
2
2
8
16
0
0
0
0
0
0
0
9
8
8
0
6
24
8
0
0
0
5
5
16
1
8
8
0
0
0
0
0
0
0
0
3
4
0
0
8
8
8
0
0
0
0
0
0
16
16
16
16
16
18
18
8
8
20
0
4
4
4
1
8
8
0
16
8
0
0
16
16
16
16
16
16
16
16
16
16
0
8
8
0
0
0
0
0
32
32
16
2
0
0
0
8
8
8
16
0
9
9
9
8
8
16
16
16
16
16
8
8
0
0
8
8
17
17
0
0
0
1
1
8
0
4
4
0
0
0
2
16
16
16
0
3
3
16
16
0
0
0
16
8
8
8
0
22
16
0
12
12
16
1
1
1
1
1
16
0
0
3
3
3
3
3
3
3
8
8
0
16
2
8
8
0
16
16
0
16
8
8
0
0
8
0
0
0
0
16
16
8
8
8
0
0
4
4
4
0
0
0
12
0
16
16
0
0
24
24
0
0
8
0
0
8
0
1
4
4
0
0
8
8
8
1
1
1
4
0
0
0
16
4
0
0
0
0
0
0
0
16
16
1
0
0
8
16
16
0
0
1
1
12
40
16
16
0
8
2
2
2
0
0
0
0
0
0
4
4
4
4
16
0
0
8
16
0
32
32
2
8
0
16
16
0
8
2
0
0
4
0
0
8
16
0
0
0
0
40
40
40
40
4
16
16
0
0
0
0
0
0
0
0
16
0
0
0
20
0
0
8
1
3
8
8
8
8
1
0
0
0
0
0
0
4
24
8
8
8
0
0
16
1
8
0
0
0
16
0
8
0
8
16
0
0
16
16
16
8
8
8
16
0
8
8
0
6
6
4
4
1
1
1
0
0
0
17
0
0
40
1
9
9
0
0
0
0
25
25
16
9
16
16
8
0
0
0
0
0
0
8
32
8
8
8
8
16
16
8
8
8
0
0
4
4
17
0
0
16
16
0
0
0
8
8
24
0
0
16
16
16
8
8
8
8
1
0
0
0
0
0
16
0
0
8
8
16
16
0
0
0
0
0
8
8
0
0
0
0
36
8
0
2
2
16
16
8
0
4
0
0
0
0
24
24
0
0
0
0
40
40
40
1
0
0
8
8
8
8
8
16
16
16
2
2
8
16
0
33
18
8
8
32
32
0
18
32
2
2
0
0
0
0
0
0
0
4
4
2
0
16
8
0
16
16
8
8
8
8
0
4
0
0
8
8
0
8
8
0
0
0
0
8
1
0
24
8
0
8
8
0
0
0
0
13
1
0
0
0
16
0
16
0
16
4
8
0
1
0
8
8
8
8
16
0
0
0
4
0
16
16
0
0
0
32
4
0
0
40
40
8
0
0
0
0
16
0
0
0
8
17
16
16
16
0
0
4
4
4
19
8
8
8
8
1
0
0
0
2
8
0
8
0
24
24
24
8
8
21
21
8
2
0
3
16
4
32
2
8
0
2
1
16
8
8
8
8
8
8
0
0
0
0
4
0
0
0
8
56
8
8
1
1
1
1
1
1
1
4
4
1
16
16
0
0
0
0
8
8
16
5
0
1
8
0
0
16
16
16
2
1
16
16
0
0
0
0
0
0
0
2
2
0
8
16
0
16
16
16
0
8
8
8
8
1
16
0
2
16
0
8
8
0
0
16
16
24
0
0
8
8
8
8
0
0
0
0
0
8
8
8
0
0
0
0
0
0
2
16
0
0
1
8
0
0
32
32
0
0
0
0
0
1
0
8
8
8
16
17
17
17
8
8
8
8
1
8
18
1
1
1
16
4
30
30
0
0
0
16
8
5
0
1
12
8
8
32
8
0
0
28
4
0
8
0
0
0
2
0
24
0
16
0
0
0
0
24
24
16
4
20
0
32
8
16
13
0
0
0
0
0
0
16
24
24
24
24
17
8
16
26
8
0
0
8
8
0
8
4
8
16
16
16
16
0
0
0
0
0
16
32
8
16
2
1
16
16
8
0
0
0
0
0
0
0
0
16
0
0
24
0
0
24
4
4
0
0
0
0
8
0
0
4
0
16
8
0
9
9
9
9
1
1
1
1
1
0
0
0
0
0
0
22
8
1
12
0
0
9
4
8
1
1
16
8
16
8
20
0
0
0
0
0
8
18
18
18
16
16
16
16
16
24
24
0
0
0
4
4
4
0
0
0
0
0
0
0
8
1
0
0
0
0
0
32
0
16
32
8
0
8
0
8
16
16
20
0
0
12
12
12
0
0
0
1
1
0
0
16
16
0
0
0
16
16
16
2
24
1
0
0
0
0
0
0
0
0
0
16
4
4
8
8
16
16
16
0
8
20
20
9
8
8
0
16
16
16
8
8
0
17
1
8
0
24
0
2
2
2
2
2
8
8
8
8
8
8
8
16
16
1
0
4
18
16
16
0
32
8
8
0
16
16
16
16
16
16
24
1
1
1
32
32
32
32
0
0
8
8
0
16
8
8
8
1
0
0
30
16
16
8
0
4
4
4
4
4
0
16
4
4
0
0
0
0
0
0
32
32
8
16
16
16
16
16
16
8
0
0
8
0
0
0
0
0
40
8
8
16
16
0
0
0
0
12
12
0
0
16
8
0
0
16
16
2
2
8
8
8
8
8
0
2
2
0
0
0
1
8
8
0
9
9
8
2
0
4
1
1
42
42
1
1
0
0
8
0
0
0
0
0
0
0
8
32
32
32
24
2
12
12
1
0
8
8
8
16
0
0
0
0
12
8
8
0
0
16
0
0
6
6
6
6
0
4
4
32
4
2
8
8
8
0
8
6
32
0
4
4
22
22
0
0
0
0
32
8
0
16
8
8
8
16
16
8
8
1
0
0
0
16
16
2
8
1
1
8
16
9
9
9
9
9
0
16
16
16
1
0
16
16
16
16
0
0
8
8
0
24
16
16
16
4
4
4
4
4
16
1
0
8
8
8
0
16
0
8
8
8
8
8
8
0
0
0
1
32
32
16
0
1
1
4
24
24
0
0
0
0
0
0
8
8
4
0
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
0
24
24
4
0
0
0
0
0
16
5
5
5
5
5
5
5
0
8
8
37
8
16
8
8
8
0
0
24
24
0
40
16
0
0
0
0
0
0
0
0
8
8
8
4
2
0
0
16
16
1
7
8
0
0
0
0
0
0
16
32
0
20
20
20
0
0
8
8
0
0
8
12
0
4
16
16
0
0
0
0
1
1
16
1
1
8
8
2
0
8
18
16
0
0
0
0
0
0
8
8
8
0
16
0
10
10
10
0
1
1
8
8
8
8
8
8
0
0
0
8
0
0
0
0
0
48
48
48
0
24
24
0
8
4
9
32
8
8
8
24
0
18
17
1
0
0
17
0
0
8
8
8
16
16
16
16
16
16
8
8
8
8
8
1
8
0
16
16
0
0
0
0
0
16
16
16
16
32
32
32
32
16
16
16
53
0
0
0
0
32
32
16
16
16
4
4
2
2
2
0
14
8
8
8
0
0
8
8
4
8
24
24
16
12
32
0
8
2
4
16
10
8
0
0
4
4
4
0
0
0
17
8
16
8
0
25
8
8
8
8
8
32
32
32
32
32
4
13
16
2
2
2
2
0
0
0
16
0
0
16
24
24
24
24
0
2
0
1
0
8
0
4
4
4
4
24
0
0
0
0
8
1
32
32
16
4
5
8
4
4
4
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
58
4
8
8
16
16
16
16
16
8
8
8
16
0
1
1
0
8
8
16
8
16
16
16
16
0
16
16
0
24
0
0
0
0
0
1
0
8
8
0
0
16
16
1
0
0
0
5
1
1
8
8
0
16
16
0
8
40
40
0
8
8
6
6
6
6
6
6
6
6
6
32
32
32
32
8
16
16
16
16
16
16
0
40
32
0
2
50
0
4
4
2
4
8
16
0
8
1
0
16
16
8
33
0
0
1
0
1
28
28
8
0
2
0
0
0
8
8
8
8
0
32
28
28
0
10
10
10
16
16
16
16
0
0
0
0
24
24
8
8
24
24
0
24
24
24
8
8
8
8
8
4
16
28
28
0
0
0
8
8
8
8
1
1
0
0
20
0
0
24
24
24
0
16
0
1
1
1
32
0
0
1
0
4
4
4
0
0
0
8
16
40
40
40
1
1
1
1
1
16
0
0
1
0
9
8
8
8
8
8
16
16
0
0
2
8
0
0
8
8
8
32
32
2
0
0
8
8
16
16
16
0
16
16
16
8
0
0
0
0
0
0
0
16
16
16
0
0
33
0
32
32
8
0
0
16
16
16
0
0
0
4
8
8
12
8
8
8
0
0
4
16
16
8
0
0
4
4
4
4
0
0
2
8
4
4
8
8
8
0
0
0
0
8
20
0
0
8
16
0
0
0
0
0
0
0
0
0
0
0
0
0
18
2
2
0
0
1
1
0
0
4
8
8
32
32
8
8
20
4
16
16
16
1
4
4
0
1
10
10
10
16
16
0
8
8
0
16
4
0
8
8
8
0
8
8
8
8
8
8
8
0
8
8
0
0
8
16
16
0
1
0
0
0
22
8
8
8
8
0
8
8
8
9
8
20
20
8
8
8
8
8
0
0
4
12
8
0
0
8
0
0
0
0
12
0
0
18
0
0
32
8
19
8
8
16
0
0
0
0
16
8
2
0
0
4
1
8
8
8
4
0
0
16
16
8
8
0
0
0
24
8
4
4
16
18
0
0
0
0
8
8
8
16
8
0
32
10
1
1
1
1
1
1
1
1
1
1
8
8
8
8
0
8
8
2
2
2
2
2
0
1
1
1
16
16
0
0
0
0
0
8
4
0
0
16
16
8
0
32
32
2
2
0
0
8
8
8
9
9
9
0
8
0
0
0
0
0
0
1
0
0
0
0
0
0
1
1
4
0
0
0
0
0
0
8
1
1
0
0
16
0
0
0
4
2
1
1
0
8
8
16
16
16
16
16
16
0
0
0
0
0
0
1
0
0
0
8
8
8
8
8
24
16
16
16
18
1
1
8
0
0
0
4
16
8
4
0
0
0
0
0
0
16
4
16
2
0
8
8
8
0
0
0
0
0
0
16
16
0
0
2
2
8
0
0
8
8
8
0
0
24
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
24
24
4
8
48
0
0
22
8
8
16
0
0
0
0
0
0
0
32
0
16
0
8
8
0
0
0
0
0
0
8
16
0
16
8
8
8
8
4
4
0
0
0
4
4
0
16
16
16
16
0
44
24
0
8
32
32
1
1
1
1
1
16
16
16
16
1
8
8
8
32
8
0
0
0
8
16
2
2
0
0
0
1
1
1
1
0
0
1
1
0
0
0
0
4
4
0
0
33
0
0
0
0
0
0
24
24
24
24
0
16
16
16
20
4
4
4
4
4
4
4
0
16
0
8
16
5
5
32
32
0
4
4
8
0
0
16
16
0
0
0
8
2
0
0
0
8
0
8
8
2
2
0
8
8
0
16
16
4
24
8
1
1
1
0
8
16
0
12
12
0
0
48
1
8
8
0
0
0
0
0
0
4
4
4
1
0
32
0
0
0
2
0
0
20
8
8
8
8
4
4
16
8
0
20
8
4
4
4
24
0
16
16
18
0
0
0
0
0
0
0
0
8
8
4
0
8
8
28
28
0
22
22
22
37
2
8
1
16
16
16
16
0
0
0
8
8
8
32
2
1
1
40
16
16
0
0
0
16
0
0
0
16
16
0
0
0
0
0
16
8
8
8
0
0
16
9
9
9
0
0
0
16
0
0
0
32
32
32
32
16
4
0
0
16
16
0
21
8
8
8
8
1
16
16
16
16
16
0
0
4
0
1
1
0
8
8
8
8
8
4
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
16
0
0
0
2
0
0
8
8
8
8
0
8
8
2
0
4
8
8
8
0
4
20
0
0
8
8
16
48
48
48
48
0
8
8
8
1
0
0
4
2
0
0
4
8
0
2
2
2
16
16
4
4
1
0
4
16
16
8
8
16
16
16
16
1
24
8
0
0
17
17
8
0
0
0
4
4
8
8
8
8
8
0
0
24
24
8
8
8
1
8
8
8
0
6
32
8
0
2
0
16
0
0
8
8
16
19
0
8
8
48
0
0
4
4
4
20
0
8
0
0
0
0
0
0
16
0
0
0
0
0
4
24
0
8
0
12
0
16
16
8
3
0
0
0
0
0
0
0
0
0
0
16
8
8
0
0
0
0
8
2
0
16
16
16
16
16
0
0
8
8
0
0
0
0
0
0
0
0
8
8
8
0
0
0
24
8
0
0
0
0
0
0
0
0
0
0
0
0
1
16
0
0
0
0
0
4
4
4
4
0
0
0
0
0
0
0
1
0
0
0
0
0
16
2
0
28
1
24
8
4
0
0
4
8
8
8
8
8
0
0
0
16
16
16
16
8
8
8
1
8
0
13
4
21
8
8
4
4
0
1
1
1
0
0
16
1
16
0
8
24
8
8
8
0
8
8
20
16
16
16
0
0
0
0
0
0
0
0
0
0
16
2
2
2
0
0
8
0
16
16
0
0
0
0
32
8
4
8
16
0
1
4
0
1
1
8
8
8
8
8
8
0
0
1
28
24
24
24
24
8
8
8
0
0
0
16
8
0
0
0
0
8
8
20
4
8
8
0
8
8
0
16
8
16
10
0
0
0
0
8
0
12
8
8
8
8
8
8
16
16
0
16
16
16
16
16
16
0
0
16
0
0
4
4
0
16
16
16
0
16
16
0
0
0
0
0
0
0
0
8
24
0
2
2
0
0
0
0
0
0
1
16
8
16
0
0
8
0
0
0
16
16
16
0
0
0
16
8
0
16
16
4
8
8
0
8
8
8
0
8
0
8
16
16
0
8
8
13
13
13
8
8
8
0
0
0
28
28
1
4
16
8
8
8
8
8
8
0
0
8
8
8
32
40
40
0
0
0
8
0
8
8
16
8
24
8
0
0
0
32
32
8
8
8
0
8
8
2
16
0
0
0
0
0
0
8
0
0
0
9
6
6
16
16
0
16
0
0
0
8
0
0
0
0
0
0
16
16
16
8
8
8
0
8
0
32
9
1
8
0
0
0
10
2
2
2
0
8
8
8
16
16
0
0
0
16
16
26
16
16
16
8
8
8
8
16
0
7
0
8
0
4
16
16
0
0
8
8
16
16
16
4
8
16
16
7
7
7
8
8
0
0
0
0
0
8
16
0
16
16
16
0
0
17
17
17
0
0
16
4
8
8
8
8
8
8
8
8
8
8
8
0
0
16
4
33
0
4
0
9
9
0
8
8
0
0
0
0
0
16
32
32
32
6
6
0
0
16
16
16
8
0
16
1
1
1
1
1
1
1
1
1
1
1
1
1
16
16
34
34
0
0
0
0
16
0
2
2
8
8
0
8
16
0
0
0
2
2
32
16
16
16
8
4
0
8
0
0
16
8
8
8
0
4
48
0
0
2
0
16
16
16
2
0
6
14
0
8
1
16
0
0
0
8
8
0
0
32
32
0
24
0
0
0
0
0
8
1
1
2
1
5
0
8
16
16
9
9
0
0
0
0
0
8
8
8
16
8
0
0
4
4
0
8
32
8
8
8
8
16
4
31
0
16
20
1
1
1
2
0
0
0
0
1
1
4
4
0
16
16
16
0
8
8
8
8
8
0
16
16
12
0
0
8
0
0
0
4
18
8
0
0
4
8
16
16
16
16
16
32
4
8
8
8
8
1
8
0
0
6
8
0
0
16
32
0
0
0
10
24
24
24
8
0
0
0
0
0
0
1
8
8
8
25
24
0
27
0
0
8
8
4
4
0
25
25
25
25
25
25
33
33
4
4
0
2
16
5
5
0
0
0
8
0
32
32
16
1
0
2
20
0
0
8
0
0
0
0
0
0
0
1
9
1
1
1
0
8
8
0
0
0
8
0
1
1
1
1
16
16
16
16
16
16
0
8
8
16
16
8
8
16
16
16
16
16
0
16
8
0
0
0
0
12
12
0
8
0
0
0
16
8
1
1
0
0
0
0
0
0
0
0
0
8
0
8
8
16
16
0
16
1
1
1
16
32
16
8
0
0
16
16
16
1
0
0
24
20
20
20
0
8
8
16
4
4
4
4
2
2
2
2
2
2
20
16
0
8
0
16
3
3
0
0
0
8
0
0
0
16
41
2
17
17
0
1
0
0
0
16
0
8
8
16
16
32
1
1
16
16
18
18
18
0
16
16
1
1
0
4
4
4
4
4
8
8
24
2
2
2
8
2
2
2
2
2
17
17
17
4
20
20
16
1
0
0
0
0
0
0
0
0
0
0
0
0
0
8
30
0
0
32
8
0
8
0
0
8
2
8
8
16
0
0
24
0
0
0
0
1
1
1
1
16
16
16
0
4
16
16
16
24
24
0
63
63
8
2
2
2
8
0
0
0
0
0
4
4
4
4
2
26
0
0
0
0
0
0
0
0
0
0
0
16
16
8
8
8
0
0
0
0
2
1
0
4
4
4
0
0
0
0
17
17
17
17
0
0
16
0
0
0
0
8
16
8
2
0
0
0
8
16
0
8
16
16
16
4
0
16
16
16
16
16
0
0
0
0
0
0
0
4
4
4
0
0
0
4
0
0
0
0
2
2
4
4
1
0
8
8
8
2
0
0
0
4
41
41
16
0
0
12
32
40
40
0
8
16
32
32
32
32
28
0
0
0
0
0
16
16
32
0
0
0
0
8
0
0
0
8
10
0
16
16
8
8
8
8
8
8
8
0
0
16
8
8
0
16
16
16
16
0
0
0
0
0
25
36
0
18
0
0
0
0
0
0
16
0
8
20
20
0
0
8
8
8
0
0
0
0
8
2
2
8
0
8
0
0
8
0
1
1
0
21
21
21
1
2
0
0
0
32
32
32
1
1
1
0
6
6
6
0
0
8
0
0
0
2
2
2
2
8
8
0
24
24
8
8
8
44
24
8
8
8
8
0
1
8
8
16
16
16
17
6
27
4
0
1
0
0
8
8
16
1
16
0
0
0
8
8
2
9
0
0
4
0
0
0
0
0
16
1
1
0
0
0
0
1
16
0
0
16
16
0
0
0
0
0
0
0
0
45
16
4
0
32
8
2
0
0
0
32
0
0
20
16
32
32
32
32
4
4
0
0
16
16
16
16
0
0
0
0
0
0
0
0
2
2
2
2
2
8
16
17
16
16
16
16
24
16
19
0
0
0
16
8
8
16
8
8
4
0
0
0
0
0
8
0
16
0
0
0
16
16
8
0
0
4
0
8
8
16
8
26
16
0
6
16
16
16
16
21
4
4
8
8
8
8
16
16
8
8
8
8
3
3
3
0
8
0
0
8
8
16
16
16
16
8
8
8
8
8
8
16
0
4
4
8
30
30
30
30
32
8
2
17
17
8
0
4
2
8
0
0
16
2
8
8
8
8
21
8
16
16
16
4
4
16
16
16
16
0
0
0
8
16
16
0
2
2
0
0
0
0
0
0
0
0
0
0
2
2
2
32
8
6
8
8
16
16
16
18
1
6
8
0
0
0
0
16
16
4
4
4
0
8
8
2
0
0
8
0
0
0
16
1
2
0
0
32
1
16
1
8
8
9
2
2
18
8
8
32
0
0
8
24
0
16
16
16
8
0
1
1
8
8
8
4
4
4
8
16
16
16
32
16
0
0
0
16
16
16
16
0
0
0
0
0
0
0
0
8
32
32
8
16
0
0
0
0
8
8
8
8
8
8
16
16
16
8
0
4
4
4
4
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
8
8
0
0
8
0
0
4
0
48
48
48
48
48
8
8
0
0
0
8
8
8
2
2
0
8
0
2
8
0
24
16
8
8
24
4
4
0
8
8
1
1
0
0
32
0
16
0
2
2
2
8
32
32
4
0
32
32
8
0
8
2
8
8
0
0
8
16
8
8
8
8
0
1
4
0
0
0
0
0
8
8
8
0
4
12
12
0
0
8
8
0
1
1
1
17
17
17
17
0
0
0
0
1
8
12
0
0
0
0
16
4
1
16
0
8
0
8
0
16
16
8
8
8
0
0
16
3
16
2
8
16
0
8
8
8
8
8
1
8
0
8
8
0
0
0
8
0
0
0
0
0
0
0
8
8
8
8
8
8
8
8
0
0
16
0
8
0
0
16
16
4
16
0
8
16
16
16
16
16
0
8
8
8
0
0
8
8
8
8
4
4
16
4
0
0
0
0
0
0
9
2
8
8
0
16
16
16
8
0
8
8
8
8
0
0
8
32
32
32
4
4
4
0
0
0
16
0
0
8
0
0
0
0
0
0
1
8
16
16
8
8
16
16
4
8
8
8
16
16
8
8
16
0
0
32
0
0
0
0
4
0
0
8
4
4
8
2
2
2
2
0
0
0
0
8
16
16
16
8
8
0
8
8
1
8
2
2
0
1
0
0
16
16
16
0
16
8
18
18
0
0
0
0
0
0
0
0
0
0
0
0
1
2
32
18
8
8
8
0
0
0
2
2
2
2
2
2
2
16
16
16
16
9
0
0
0
0
8
8
8
0
0
8
8
8
17
2
2
2
2
33
0
0
0
0
8
8
0
8
16
8
32
32
16
16
4
4
4
8
32
0
8
0
0
0
16
0
24
24
16
16
16
16
16
16
16
2
0
0
0
0
0
0
4
0
0
16
16
16
0
16
16
16
16
0
0
16
8
32
4
0
8
0
28
0
32
0
8
8
0
32
16
16
16
0
41
41
0
8
8
4
12
12
0
0
0
0
8
8
24
17
16
0
0
8
8
8
0
0
0
0
8
2
2
0
0
8
8
0
0
1
1
1
0
16
16
16
16
0
0
16
16
8
8
0
0
9
0
8
0
0
8
8
8
8
0
8
8
0
0
32
32
0
0
0
0
8
16
4
1
8
8
32
2
2
2
2
2
4
1
1
1
1
0
8
8
16
16
16
16
16
16
8
8
8
8
8
8
8
4
4
15
0
16
16
16
0
8
16
8
8
8
8
8
0
0
1
1
1
2
9
0
0
8
16
16
16
16
16
8
8
48
48
0
0
1
1
16
0
4
0
0
0
13
8
8
8
8
8
0
2
2
16
16
16
16
16
1
20
20
0
16
1
8
0
0
0
0
0
0
16
16
16
16
0
8
8
0
8
2
8
0
0
6
16
8
8
8
0
1
0
0
0
0
2
2
8
8
0
0
0
0
0
0
0
2
0
8
16
16
16
16
16
16
16
16
16
16
16
4
4
16
0
8
12
12
16
16
8
0
0
8
16
0
0
0
0
0
0
0
0
0
0
0
0
16
1
8
16
0
0
2
2
8
8
8
8
16
0
16
16
16
8
17
0
0
0
4
1
0
0
0
8
8
8
8
8
0
0
0
2
33
33
2
32
8
8
8
4
4
4
16
0
0
0
8
32
32
32
0
16
16
32
17
17
17
0
8
16
0
16
16
16
16
8
8
8
0
8
16
9
16
8
8
8
18
0
0
0
0
0
16
2
24
8
0
0
0
0
0
9
0
16
16
16
16
1
18
18
18
4
0
8
8
8
8
16
0
0
8
0
0
2
8
16
6
6
32
0
0
0
0
0
16
16
8
8
8
16
0
9
0
0
0
4
4
4
8
2
0
0
0
0
0
0
1
0
0
0
0
0
48
17
17
8
8
16
16
0
0
4
4
0
0
0
0
0
0
4
4
4
4
4
4
8
12
4
38
38
0
0
16
16
16
16
5
0
40
1
10
10
10
2
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
8
0
8
8
32
32
8
8
8
8
16
0
1
16
0
0
8
8
8
0
0
1
8
4
4
0
8
0
0
18
16
16
0
8
8
0
0
4
24
0
16
4
0
0
0
0
0
0
8
8
0
32
4
4
8
8
8
0
0
0
8
8
8
0
5
0
8
8
4
1
12
16
16
0
8
8
0
0
27
18
0
0
0
0
8
8
32
16
16
0
0
4
8
1
1
1
4
4
0
0
0
16
16
0
0
0
8
24
4
16
24
24
16
16
16
16
48
0
4
0
16
0
0
16
8
0
0
0
0
0
0
0
28
16
16
0
0
0
8
4
4
4
16
0
0
16
16
16
1
1
8
8
8
0
4
1
0
0
0
0
16
8
8
0
0
0
0
0
0
8
5
8
16
8
8
4
0
0
8
8
8
8
0
0
0
8
8
0
0
0
16
16
16
0
0
0
25
8
8
8
8
8
0
16
8
0
0
0
0
1
1
1
1
10
0
0
0
0
16
32
0
8
8
8
0
8
8
0
16
0
0
16
2
0
8
1
0
0
0
0
0
8
4
4
4
0
16
16
16
16
16
16
8
0
53
53
53
0
8
0
8
0
0
1
1
1
0
0
16
16
16
24
0
23
8
0
0
0
0
16
16
3
8
8
8
0
1
1
1
5
8
8
8
8
0
0
0
0
0
0
8
8
8
8
0
0
0
0
3
3
0
8
8
8
2
2
8
8
0
0
16
16
0
0
32
8
8
0
8
1
0
9
0
0
1
16
16
16
8
8
0
0
0
0
8
1
1
1
1
0
0
0
0
0
0
0
17
0
0
16
24
16
8
8
8
8
8
5
5
5
0
0
8
8
8
8
8
0
0
2
0
13
9
16
0
0
0
0
8
0
8
0
0
8
8
32
8
0
0
0
16
0
8
0
0
0
0
0
0
0
0
0
0
8
4
17
20
20
8
8
1
3
3
16
16
16
18
0
0
0
2
2
0
0
16
1
1
48
8
8
8
8
8
9
9
8
16
16
0
0
0
0
0
0
0
0
0
8
0
0
0
12
0
0
0
0
0
8
8
8
0
0
0
17
17
0
20
20
20
20
20
20
0
0
0
0
0
0
0
8
8
16
8
16
16
16
0
8
0
0
0
0
0
0
0
0
16
16
8
4
4
4
0
0
8
8
8
0
8
8
0
12
12
12
32
32
8
16
0
0
12
12
16
0
0
8
8
0
0
0
0
16
21
0
8
0
0
0
16
48
48
1
1
0
1
16
16
16
4
4
1
1
1
1
1
0
0
8
8
0
0
2
2
11
16
0
32
16
2
0
4
16
0
0
8
0
0
0
8
8
8
2
2
16
16
0
4
4
10
4
2
8
8
8
0
0
8
8
8
8
2
0
0
5
5
5
5
5
5
0
0
8
2
2
2
2
0
8
16
16
16
16
0
16
8
0
0
0
0
1
8
0
9
1
29
1
1
16
16
0
0
8
0
0
0
1
8
2
0
0
32
0
8
8
8
16
0
16
8
16
16
0
0
0
0
16
8
8
18
18
0
4
4
4
18
16
10
10
0
0
0
8
8
0
16
16
0
4
0
8
8
0
0
0
0
8
8
8
1
1
1
8
8
17
16
16
8
8
1
8
8
8
0
22
22
0
28
28
4
0
32
8
0
0
23
14
14
0
0
0
0
0
0
0
0
1
1
16
0
2
0
16
0
0
3
3
3
10
10
8
16
32
4
8
16
0
8
8
8
8
0
0
0
8
4
4
0
0
0
16
8
8
8
8
0
8
8
0
0
4
0
1
1
1
16
16
8
8
0
0
0
0
0
0
0
0
1
2
8
16
16
16
0
45
45
0
8
16
0
0
0
0
0
0
0
20
0
0
8
10
10
10
10
10
10
10
10
0
0
0
16
16
8
8
8
8
8
8
0
0
0
0
1
8
16
1
8
0
0
0
32
32
2
0
42
18
16
20
20
0
0
16
17
17
0
8
8
4
4
0
0
32
0
16
16
16
16
8
4
4
8
8
8
8
9
9
0
16
16
0
0
0
16
16
0
8
0
0
8
0
0
0
0
0
0
34
34
0
0
8
8
0
0
16
16
0
17
17
17
42
42
16
8
0
8
8
0
0
0
0
4
4
4
0
8
8
8
0
0
8
8
8
8
8
16
16
16
16
16
16
0
16
16
0
0
16
16
8
0
16
9
0
0
8
8
16
16
0
8
1
0
10
10
20
20
0
0
24
24
24
24
4
4
0
16
1
1
1
16
16
16
8
8
0
0
8
0
0
0
0
16
0
0
0
16
0
0
0
0
0
0
0
0
2
1
8
8
8
0
8
20
8
4
24
24
24
4
0
0
16
16
16
2
8
0
0
0
0
0
0
16
16
5
32
8
0
0
0
0
16
16
16
16
16
16
2
16
8
2
20
20
20
20
16
4
0
0
0
0
0
0
8
11
8
2
0
8
0
8
1
1
2
4
12
8
0
4
0
0
0
0
2
0
2
0
0
0
16
4
8
8
0
8
8
0
16
16
8
16
0
8
0
8
8
0
4
8
0
0
0
0
0
0
4
8
8
0
1
1
1
8
0
0
8
0
0
0
8
4
4
8
0
18
18
18
18
18
8
0
0
0
16
4
0
0
0
4
4
0
0
1
0
16
18
0
0
0
0
0
0
8
8
17
1
1
1
8
2
8
8
0
16
0
0
0
0
0
0
16
16
0
18
0
8
8
8
8
0
0
8
6
6
6
1
1
1
0
0
0
17
17
8
0
0
0
0
0
0
0
2
2
2
8
16
24
24
8
11
11
11
11
11
8
32
32
16
16
0
4
8
0
16
2
16
16
16
16
16
16
0
0
0
8
24
4
24
16
18
8
8
24
16
0
12
0
32
0
2
0
16
16
16
16
16
0
0
0
1
1
1
0
0
13
32
32
16
16
0
0
4
0
8
16
16
16
16
5
5
2
0
0
0
8
1
1
1
16
16
8
8
8
2
4
4
8
8
12
12
16
16
16
16
16
16
2
2
2
2
16
8
0
0
2
0
16
16
0
8
0
8
8
1
9
0
1
1
8
8
0
16
4
4
8
8
8
0
0
8
8
1
8
0
4
4
24
8
0
8
0
0
1
8
8
0
16
16
16
0
0
16
16
16
1
16
16
0
0
0
0
8
0
0
0
0
8
0
8
16
16
8
9
1
1
8
2
2
2
32
8
0
0
0
0
8
1
1
2
0
0
0
0
16
0
0
16
16
8
8
8
8
0
8
16
16
16
1
8
8
8
8
8
8
0
0
0
16
0
0
4
0
0
1
1
13
44
0
31
32
32
32
32
0
4
4
4
4
4
4
4
4
4
4
21
16
16
16
8
8
0
16
16
0
8
0
0
16
8
8
8
16
16
16
8
16
0
8
0
4
32
32
32
0
0
2
0
0
0
16
0
12
0
4
8
0
0
0
0
16
2
2
16
16
16
0
26
0
0
0
0
0
0
0
0
0
0
0
4
16
16
48
4
4
8
16
16
16
16
16
8
24
24
24
24
24
0
0
0
16
16
16
16
32
16
1
1
1
16
24
5
1
2
8
0
24
16
16
4
0
16
16
8
0
0
2
2
16
16
2
2
0
0
16
0
8
8
0
0
0
0
0
0
0
0
0
0
0
18
0
8
0
8
0
4
4
4
0
2
0
1
0
9
8
0
0
0
0
0
0
2
16
16
0
0
0
1
0
0
8
4
4
4
4
4
0
0
17
17
4
0
0
16
16
16
16
16
16
16
16
8
2
2
0
0
0
0
4
16
2
2
16
16
8
8
16
8
8
6
6
0
0
0
8
0
4
4
4
4
4
0
8
4
2
2
2
2
2
2
16
32
24
0
4
0
0
0
0
0
4
14
33
8
0
0
0
8
8
0
0
0
0
8
2
0
0
0
0
0
0
8
0
0
8
8
40
16
16
0
0
0
4
0
0
0
0
0
8
4
4
0
0
0
0
8
0
8
8
24
2
0
1
0
2
0
0
0
0
16
16
24
24
24
24
24
8
8
8
8
0
0
8
8
8
0
12
34
34
34
0
0
0
0
0
0
8
8
8
16
0
16
0
16
0
24
4
32
12
1
1
4
4
0
0
0
4
4
0
8
0
0
0
0
0
8
8
0
0
48
48
0
16
8
8
0
0
8
16
2
2
32
8
8
2
9
16
16
16
8
2
2
2
32
8
0
8
0
0
0
0
0
20
8
8
16
8
8
8
8
0
0
8
12
24
24
24
24
16
16
24
2
16
0
16
16
24
8
16
16
24
8
8
8
8
8
16
16
16
0
0
0
0
0
0
4
1
0
0
4
4
24
24
24
24
24
24
2
18
18
8
8
8
0
8
8
0
0
1
4
8
0
0
8
1
0
40
8
8
16
6
24
24
24
16
16
16
16
2
32
0
16
4
0
8
8
8
4
8
8
0
16
16
0
0
2
2
2
8
8
8
0
0
10
10
16
28
19
8
16
8
56
56
16
16
3
32
0
8
8
0
24
24
24
24
24
24
24
24
24
24
24
0
0
0
0
0
8
8
8
8
8
24
0
0
1
1
1
0
20
0
0
0
0
0
0
0
1
0
0
0
0
0
16
0
0
0
0
0
0
8
8
0
0
16
16
16
24
24
8
8
8
8
8
0
0
0
1
1
8
8
8
0
36
8
4
4
8
8
8
8
16
16
0
0
8
8
8
8
1
1
0
0
6
6
6
0
24
8
8
8
8
0
0
0
0
0
8
1
1
1
8
16
4
0
0
0
0
8
0
0
0
0
0
0
16
16
4
0
0
0
0
0
8
16
19
8
8
8
32
32
32
32
2
0
0
0
24
8
0
0
0
0
0
16
0
0
0
16
8
6
0
0
0
0
0
16
16
1
1
1
1
32
0
0
0
0
0
0
0
8
32
16
0
0
16
2
16
4
8
1
0
0
0
16
8
0
16
0
8
16
0
16
8
16
12
12
2
16
8
24
0
0
8
8
24
0
0
8
8
0
1
1
1
8
4
0
0
16
0
8
8
32
4
0
2
2
2
8
8
8
0
0
0
0
16
8
6
6
6
4
4
4
0
0
1
1
4
16
16
0
0
0
6
6
6
6
6
0
0
0
8
8
8
16
16
8
0
0
0
0
8
8
17
0
32
32
0
0
8
8
8
8
8
16
0
8
0
0
0
0
0
0
0
16
16
16
16
0
2
0
5
8
0
0
16
4
0
8
8
0
2
4
0
0
8
0
0
0
8
8
0
0
0
8
4
4
4
4
4
4
4
4
16
1
1
0
8
8
2
2
8
8
16
16
0
16
8
12
8
0
0
0
16
16
16
0
0
16
16
4
8
16
1
5
0
0
24
24
24
24
24
0
8
0
8
8
8
8
8
0
0
1
16
1
1
1
1
1
1
56
56
8
8
0
0
0
1
1
1
24
0
0
8
0
0
0
1
0
1
0
20
16
16
0
2
8
8
8
41
41
16
8
16
16
16
0
4
4
1
32
32
0
8
16
16
16
5
16
0
0
0
24
6
16
0
16
16
16
16
8
16
16
4
4
4
32
32
4
4
0
8
8
8
17
17
17
17
17
17
4
2
0
8
0
0
0
0
0
0
8
8
0
0
0
8
1
16
8
8
4
1
1
16
0
0
0
4
0
0
0
16
16
0
0
0
37
32
32
1
1
16
13
13
13
2
2
6
4
4
4
5
8
8
8
0
0
0
0
0
16
2
32
8
0
24
4
0
40
32
32
32
0
17
17
13
13
8
16
16
0
0
24
24
2
0
0
8
8
8
1
1
16
2
0
0
0
0
0
4
8
8
0
0
8
8
2
0
0
16
8
0
0
0
0
8
0
0
0
0
0
16
0
0
0
0
0
16
8
8
16
0
0
0
8
0
16
48
48
48
8
16
16
8
8
0
0
0
16
16
16
16
40
8
8
8
0
0
4
16
8
28
8
8
24
0
0
0
0
13
13
16
0
0
8
32
1
8
16
0
0
8
8
0
28
28
0
0
16
16
16
16
0
2
0
4
16
2
4
8
8
0
44
7
7
0
0
4
16
16
12
12
12
12
0
0
16
0
0
0
8
1
1
0
8
32
1
16
16
16
16
16
0
2
2
2
2
2
24
24
0
0
16
8
8
16
8
8
8
8
16
12
8
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
0
8
8
0
0
0
2
16
0
0
8
8
8
8
16
16
16
4
4
4
1
16
0
0
0
8
8
8
8
8
0
0
16
16
0
4
2
0
0
0
0
5
0
1
8
8
8
8
0
0
0
0
0
24
8
8
8
0
0
0
0
0
0
16
0
16
0
4
8
8
8
0
48
48
8
0
16
16
2
16
16
8
8
8
16
4
4
0
0
8
32
0
8
0
0
0
1
0
0
16
4
4
8
8
8
8
1
1
0
16
16
0
0
0
16
16
32
32
8
32
8
12
8
8
24
0
52
0
16
0
1
16
0
16
8
8
0
0
0
6
6
8
16
16
16
16
16
0
32
8
32
32
32
9
9
0
0
16
0
0
8
40
40
0
32
0
0
2
2
2
2
8
8
8
8
12
12
0
0
0
2
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
4
4
16
16
0
16
16
8
8
0
8
8
48
48
0
4
4
0
0
0
0
0
0
0
0
0
0
8
2
2
4
4
16
4
4
16
8
0
0
16
0
0
0
0
4
4
4
4
0
1
12
8
8
24
16
16
16
1
1
16
0
8
8
8
16
16
0
4
4
4
4
4
0
35
8
8
0
8
0
0
16
0
1
20
0
0
40
16
16
1
1
0
8
8
8
8
8
0
0
0
0
0
0
0
0
0
4
4
16
16
2
16
16
8
16
16
8
0
8
8
8
12
12
0
0
0
1
0
48
48
16
8
8
4
4
1
5
1
1
16
8
0
8
16
16
16
16
8
16
16
8
0
1
16
16
17
17
0
0
0
16
16
16
16
16
0
0
0
16
16
0
2
0
16
16
6
8
8
8
0
0
0
0
0
8
16
16
0
0
0
8
0
0
32
0
8
8
8
10
10
0
0
0
16
8
0
0
24
0
8
8
1
8
8
16
14
14
14
0
4
4
4
0
0
4
4
4
16
16
16
0
16
16
0
32
32
0
4
12
0
40
0
0
0
0
0
16
8
0
0
1
1
0
0
0
0
0
16
16
0
1
1
0
0
0
0
8
8
0
0
0
0
8
8
8
1
0
32
32
32
32
8
0
0
0
8
8
8
16
0
0
0
16
26
26
1
1
2
2
0
0
0
0
0
0
0
0
1
0
16
17
17
10
10
8
8
0
0
8
8
8
8
8
8
8
28
28
8
8
8
8
8
0
0
2
8
24
24
24
0
2
8
8
24
0
0
2
2
16
16
16
0
16
12
0
0
0
8
43
43
16
2
4
8
2
2
2
16
16
16
16
9
4
4
4
4
1
1
8
17
17
17
0
0
0
0
0
0
8
8
0
16
0
20
0
0
8
8
8
16
2
24
24
24
24
24
4
8
8
8
0
8
8
16
16
16
4
16
26
26
4
4
16
16
0
0
0
0
0
0
0
8
0
0
0
16
16
16
16
16
16
4
8
16
16
16
16
8
8
8
8
8
0
0
8
8
0
0
0
16
8
1
16
16
16
16
16
16
16
24
8
0
0
1
8
8
16
0
8
8
16
0
0
0
0
0
0
0
8
8
0
0
0
1
4
4
16
8
16
16
16
8
0
0
1
0
0
0
0
0
0
1
0
0
0
0
24
0
8
16
16
16
0
0
16
16
0
0
0
0
0
0
1
0
32
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
48
0
1
1
0
0
0
0
8
8
8
16
0
12
12
0
0
0
4
0
0
0
8
0
0
0
9
8
16
8
8
4
3
3
0
1
1
8
8
8
0
16
16
0
1
1
1
1
16
4
4
4
8
4
4
0
2
24
24
0
0
0
4
16
16
16
16
16
16
16
16
0
0
0
0
2
8
8
16
3
3
0
0
0
8
0
0
0
0
36
0
16
16
0
8
0
8
0
0
0
0
8
8
16
16
8
4
8
8
8
0
16
16
16
16
16
16
8
0
0
16
0
8
0
0
0
0
0
0
0
0
0
0
0
0
8
0
2
0
24
24
24
24
8
0
0
0
16
16
0
20
20
20
0
0
0
32
16
16
18
8
8
8
4
4
0
18
0
0
0
0
0
0
32
0
0
0
0
0
0
0
0
4
4
0
0
0
0
0
0
0
0
0
8
0
1
0
0
16
16
16
0
0
4
4
1
1
1
1
1
0
0
0
0
0
0
0
14
14
14
8
8
0
0
23
0
8
8
8
0
0
8
8
0
0
0
1
1
1
16
0
40
2
2
0
8
9
9
0
0
0
0
16
8
16
16
0
16
16
8
8
8
16
30
8
16
1
1
1
1
0
8
16
16
16
16
0
0
0
8
8
8
0
0
0
0
17
16
12
4
16
16
0
0
0
0
2
0
0
0
16
16
16
16
0
0
0
16
8
8
25
8
2
2
2
0
10
16
0
0
0
0
16
16
16
2
8
8
0
8
8
8
17
0
0
0
16
16
16
16
16
16
16
22
22
22
8
8
8
8
8
0
0
0
12
12
24
24
8
8
24
4
8
8
8
8
8
8
8
0
0
12
12
56
4
16
16
3
4
18
1
1
0
0
8
16
16
16
16
16
16
16
16
24
24
0
0
8
8
28
0
8
16
0
2
2
0
0
24
24
0
0
10
10
10
6
16
0
0
0
8
16
0
0
24
24
18
3
3
8
8
0
0
0
0
16
0
8
8
8
8
26
8
8
8
0
32
0
0
0
0
16
0
0
0
0
25
8
0
0
16
16
10
0
0
0
8
0
8
17
0
0
0
0
0
4
4
8
0
0
0
0
8
8
8
8
2
18
18
0
8
8
0
0
0
0
0
0
32
32
32
24
16
16
0
20
20
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
2
4
0
0
16
8
8
24
16
16
0
0
0
0
7
7
7
1
0
4
4
4
32
32
32
8
0
0
16
4
4
4
40
8
0
0
0
0
2
24
8
16
0
32
0
2
2
8
0
0
0
0
0
0
0
0
8
0
4
8
0
0
1
0
0
0
8
8
8
8
8
26
0
1
1
1
16
16
0
0
0
0
0
0
8
4
4
1
1
1
1
1
16
0
0
0
0
0
16
1
16
16
25
25
0
8
1
1
16
16
0
0
0
11
4
4
2
0
0
0
8
6
0
16
16
8
8
8
16
0
16
16
8
0
4
30
4
8
0
8
32
0
0
0
4
1
1
1
1
16
16
0
0
8
16
16
8
8
8
8
8
1
0
0
0
0
4
4
4
16
8
8
24
32
16
0
0
0
0
0
0
0
8
8
8
16
8
0
0
0
0
0
0
0
0
16
16
8
0
0
2
10
1
8
1
1
0
4
4
4
4
4
16
16
26
26
26
0
40
48
48
8
8
18
0
0
0
8
8
8
4
4
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
32
32
20
0
0
16
4
4
4
4
8
8
8
0
8
0
0
0
0
8
0
0
0
0
16
8
2
0
16
16
8
8
0
1
1
1
17
17
8
0
8
16
0
16
16
16
16
16
0
0
16
0
0
0
0
2
16
8
5
16
16
16
16
16
41
41
41
4
0
0
8
8
8
0
0
0
0
0
0
0
0
0
8
34
0
8
8
8
1
0
0
4
0
0
1
4
0
0
0
24
16
16
20
0
16
8
0
16
16
16
16
16
0
16
8
14
14
0
0
24
32
0
0
0
0
16
16
16
16
0
16
1
16
16
8
17
17
17
17
8
0
0
4
40
40
40
40
40
40
40
24
8
24
24
24
24
16
0
0
0
0
16
16
0
0
16
8
24
24
24
24
0
16
16
16
0
40
2
20
0
8
0
8
4
4
4
4
4
4
0
0
0
0
0
24
26
8
8
8
8
8
16
20
20
20
0
0
0
16
16
16
16
0
16
8
16
1
1
0
8
16
8
8
0
0
0
10
10
10
28
28
28
28
28
28
28
28
28
28
8
16
16
16
0
0
0
0
0
0
0
0
0
2
1
0
0
0
8
8
8
8
24
24
24
1
1
0
0
0
0
8
0
8
8
0
0
22
8
8
8
8
8
8
8
16
0
0
0
0
0
0
4
2
3
1
0
16
16
0
8
8
6
4
4
4
0
24
24
0
4
16
16
4
4
4
0
4
8
16
16
8
8
16
8
0
4
8
0
0
1
0
1
16
2
2
0
1
8
8
0
0
8
8
4
4
16
0
16
40
40
40
40
40
2
2
8
8
8
8
8
8
4
16
8
8
8
0
0
0
0
0
16
16
0
16
16
32
16
0
0
0
16
16
2
2
2
0
2
8
8
8
8
8
0
1
8
12
0
2
8
0
0
0
16
16
0
0
0
16
16
0
0
0
8
1
1
0
0
48
0
0
0
0
32
32
0
0
0
0
16
0
0
16
0
0
0
24
8
0
0
0
16
16
8
0
0
0
0
16
0
8
8
16
8
8
8
0
8
0
16
16
0
8
8
8
0
8
0
0
0
0
17
0
8
2
2
16
16
16
8
0
0
16
8
8
8
0
8
2
8
18
18
8
8
0
0
8
8
0
16
0
0
16
16
16
20
20
20
20
0
8
0
0
4
4
4
4
0
0
0
2
2
2
2
2
0
0
0
4
4
17
8
8
8
0
0
0
4
2
1
1
1
0
0
1
1
1
0
0
0
0
16
0
0
0
48
48
16
16
16
16
16
16
6
0
0
0
0
28
0
16
8
8
8
8
0
0
16
2
0
0
0
0
0
4
0
0
1
1
0
0
0
0
8
0
16
1
16
16
16
16
2
0
0
0
1
8
8
16
0
0
0
0
0
0
0
0
8
0
16
1
0
8
1
0
0
0
4
2
2
2
2
0
0
17
17
0
1
4
0
0
0
0
0
0
16
16
16
4
4
4
0
32
0
16
0
0
1
8
8
8
0
0
8
8
8
0
16
25
25
0
0
0
16
57
1
0
6
8
8
8
0
16
8
8
8
8
8
4
4
0
8
8
0
0
8
9
9
8
16
16
16
0
0
0
17
1
18
16
16
16
16
16
16
0
0
16
16
8
40
16
2
2
16
0
0
0
0
0
4
4
4
4
0
0
0
8
8
25
25
1
8
8
0
0
2
2
16
0
16
0
0
0
0
0
1
1
1
16
2
24
24
24
8
8
8
9
8
8
8
8
9
9
0
32
0
0
0
1
1
32
0
0
0
0
48
48
48
16
0
16
8
8
8
8
4
4
4
24
0
1
0
0
0
0
0
8
8
0
0
12
12
0
8
8
8
0
0
0
24
0
16
2
14
9
0
1
1
1
1
8
12
12
12
12
12
8
8
8
24
4
16
0
0
0
0
0
0
0
8
8
2
2
24
24
8
1
1
1
20
0
0
0
0
0
8
8
0
0
2
9
9
9
0
0
0
0
8
8
0
0
0
0
0
0
0
17
17
1
1
1
16
0
0
0
0
0
0
2
0
8
8
8
0
8
0
0
0
0
0
0
0
1
1
0
0
0
0
8
0
0
0
0
8
4
16
1
1
1
1
4
8
8
16
2
16
0
0
0
8
8
0
0
8
8
8
4
4
4
0
0
0
49
49
0
8
8
0
8
8
8
0
1
0
0
0
0
0
0
0
0
0
0
1
1
0
8
0
8
16
16
8
8
26
8
4
0
1
16
0
32
16
5
1
5
1
8
8
17
0
9
9
32
0
0
0
16
16
0
0
4
4
8
16
16
16
8
0
0
0
0
8
8
8
0
1
0
0
16
16
0
8
0
8
0
0
0
2
2
2
0
16
16
16
0
0
8
0
40
40
8
0
16
0
0
16
0
8
0
0
0
16
16
0
8
8
0
0
0
0
8
16
16
0
0
0
0
0
8
0
0
0
24
8
8
8
8
0
0
4
4
4
4
8
24
12
12
12
12
12
8
8
0
0
8
0
0
0
0
0
8
8
8
8
8
8
8
8
0
0
0
16
16
0
8
0
48
4
8
8
8
0
0
0
0
0
16
16
0
0
1
1
1
1
16
16
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
8
0
0
24
24
8
16
0
8
8
0
8
8
8
48
32
1
8
0
0
16
0
16
16
8
16
1
1
16
4
8
8
16
0
0
32
8
0
0
0
0
8
8
0
8
8
0
0
0
0
16
16
16
16
8
8
8
0
0
0
4
0
0
16
1
0
2
7
7
7
8
8
0
1
9
9
0
25
25
0
0
8
24
4
0
0
1
0
0
0
32
8
8
8
8
0
8
0
0
0
0
0
2
4
16
2
0
0
0
0
4
4
8
0
0
0
0
0
0
16
0
24
0
8
8
0
0
0
0
8
8
8
8
0
4
8
1
0
8
8
8
8
17
17
0
0
16
8
0
8
1
8
8
8
0
24
0
0
0
1
1
0
0
24
24
0
0
2
16
24
8
8
24
8
8
0
0
0
0
0
0
8
16
0
8
1
1
0
0
0
4
0
0
0
0
4
4
4
4
4
0
8
0
8
0
0
12
8
24
0
0
16
16
0
16
0
0
0
0
16
8
8
0
8
4
0
16
0
0
8
4
16
16
0
0
4
4
10
34
34
0
24
0
0
0
24
0
0
8
4
0
2
2
16
16
8
16
16
8
8
0
8
0
0
16
0
16
8
59
0
0
0
0
0
18
18
0
0
8
16
16
0
0
0
8
0
16
0
0
0
0
24
0
0
0
8
0
16
8
8
0
0
16
16
16
16
16
16
16
16
16
16
0
0
16
8
9
1
1
0
0
16
16
8
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
17
8
0
1
8
8
8
0
0
0
8
0
0
8
16
0
4
0
0
0
16
0
16
2
4
0
0
16
9
8
0
0
16
0
16
8
16
16
16
0
4
8
8
10
32
16
16
0
0
8
0
0
0
0
0
0
0
2
1
16
4
0
8
8
0
16
0
20
24
24
0
0
0
0
0
0
6
0
16
8
16
16
8
0
16
0
0
0
8
8
0
8
0
8
8
0
0
8
16
0
0
0
0
0
0
2
1
8
0
12
1
1
1
0
8
8
8
0
0
0
0
4
0
0
0
0
0
0
2
2
0
0
16
20
0
0
16
0
0
8
8
4
4
4
4
4
4
4
0
1
0
0
0
0
8
0
4
4
0
24
0
1
8
0
8
16
0
0
0
16
16
16
8
8
8
0
0
0
0
0
0
0
0
0
8
0
0
8
8
0
0
16
16
8
0
0
8
0
0
0
0
16
4
8
0
0
0
40
8
8
8
0
0
16
8
0
8
0
8
8
8
0
16
8
8
0
1
8
0
0
0
0
0
4
2
8
8
12
12
12
12
0
0
8
4
0
12
25
16
2
2
2
2
2
2
0
20
0
0
0
0
0
1
1
9
4
4
4
4
4
0
28
28
28
17
17
17
0
2
0
4
1
1
1
0
0
0
8
0
16
2
2
2
2
2
16
16
0
1
0
16
16
0
0
0
0
12
16
0
0
0
56
56
8
8
8
0
2
0
18
16
4
28
0
32
32
0
0
0
20
8
0
0
0
8
8
4
8
0
8
8
0
8
8
0
8
24
16
16
0
8
24
8
8
8
8
0
0
0
8
0
24
8
8
0
33
33
0
0
4
16
2
0
0
0
1
8
0
8
8
16
10
0
0
0
16
16
0
8
0
0
16
16
16
0
0
0
0
0
8
8
16
0
0
0
0
0
8
8
8
0
1
1
0
2
14
0
0
16
0
0
0
0
0
8
0
0
0
8
8
0
0
16
16
16
0
0
0
0
0
0
0
16
16
0
1
1
1
16
16
0
8
8
8
16
0
0
0
16
16
0
0
0
8
16
0
1
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
24
3
0
0
8
8
8
8
8
8
18
0
1
0
16
8
16
8
0
16
0
8
8
2
16
8
8
8
8
0
8
16
16
6
4
16
16
16
0
0
0
24
8
8
0
0
0
16
16
0
4
0
4
4
4
0
8
0
4
16
16
16
16
16
16
16
16
16
16
16
16
16
16
2
1
8
8
0
24
24
0
0
0
0
8
0
0
10
8
1
16
0
4
16
0
0
0
2
33
8
0
0
0
8
0
0
0
0
0
24
16
16
0
0
4
4
8
8
8
0
16
0
0
0
32
8
6
2
4
0
8
8
0
0
4
0
0
0
0
0
0
0
0
1
1
2
0
0
0
8
0
1
16
16
0
8
1
0
0
0
0
0
18
0
0
25
0
8
0
0
8
0
0
0
0
0
0
16
0
0
0
0
8
8
0
2
1
12
12
53
8
0
28
28
1
1
1
16
8
0
16
16
0
0
0
0
0
0
16
8
8
8
56
0
8
0
16
18
0
8
0
0
0
0
0
0
8
16
16
16
16
8
2
0
2
8
8
8
8
0
0
8
1
2
4
4
8
16
16
16
0
0
0
16
16
16
32
16
16
16
1
0
0
0
1
8
1
0
16
0
0
54
0
0
0
0
34
0
0
0
0
0
0
0
0
16
4
4
2
8
36
36
0
3
3
0
8
8
8
8
16
0
0
0
0
0
0
8
8
8
8
1
24
0
29
16
24
8
8
8
8
0
0
6
0
16
22
22
0
0
0
8
0
5
0
0
16
1
0
0
0
0
4
4
4
4
8
8
0
24
1
1
1
0
0
0
17
8
0
8
0
0
0
8
16
0
17
17
24
5
5
4
8
0
0
0
8
0
0
8
8
0
0
0
8
7
0
8
24
0
0
0
0
8
8
16
0
1
0
16
0
0
0
0
0
16
8
0
0
8
0
0
0
0
16
16
0
8
8
8
0
8
8
16
0
4
8
0
20
16
0
0
8
8
8
8
8
8
12
0
0
8
8
8
8
4
0
0
2
2
2
0
0
0
0
1
1
0
9
0
24
8
2
2
2
0
0
4
4
8
8
0
0
1
1
0
0
0
16
0
16
0
0
0
0
4
4
0
0
8
0
0
2
0
0
2
9
9
24
0
0
0
0
0
0
0
8
8
0
8
4
4
8
8
8
4
0
0
0
0
2
17
17
0
8
0
0
24
0
12
16
16
8
8
8
16
0
8
8
0
0
0
0
8
0
0
16
0
0
16
8
8
8
8
8
8
8
8
0
0
0
0
0
20
0
24
16
16
0
0
0
16
0
16
16
0
0
26
26
26
0
16
0
16
16
2
2
0
0
0
8
8
0
0
0
0
0
0
0
8
0
0
0
3
8
0
1
0
0
16
0
0
0
0
12
12
16
16
16
16
16
0
4
0
0
0
16
2
8
0
0
1
16
1
8
0
0
16
0
4
4
0
0
0
0
16
16
0
0
0
0
0
20
8
0
0
0
4
4
16
16
0
16
16
16
16
8
0
0
0
0
0
4
16
0
0
0
0
0
4
0
12
1
16
2
0
0
24
0
0
2
2
8
8
8
16
16
16
8
8
29
4
4
2
8
8
0
16
0
13
13
4
0
0
0
8
8
16
16
0
0
0
16
24
8
8
0
1
1
0
0
10
10
0
2
8
8
16
0
0
0
0
0
0
0
0
8
4
4
0
0
4
8
8
0
0
0
0
8
0
0
0
1
1
0
0
0
0
12
8
8
8
8
0
16
24
24
0
0
0
16
56
56
0
0
0
16
0
29
8
0
0
0
16
0
0
0
0
8
16
24
0
56
0
24
24
0
0
0
0
0
4
16
9
0
0
0
0
10
0
0
0
0
0
0
8
8
0
0
4
8
0
18
0
0
0
0
0
0
0
8
8
0
28
28
28
0
0
8
16
16
0
0
1
1
0
8
0
0
0
0
0
4
0
0
16
8
8
8
0
0
2
0
0
0
16
16
8
0
1
0
0
2
0
0
8
0
0
0
6
2
2
16
0
0
8
8
8
8
8
0
16
0
8
20
0
0
0
2
0
0
0
0
4
4
8
0
0
4
4
0
0
0
1
1
0
0
0
0
0
16
0
8
8
8
8
8
18
18
16
16
8
0
0
0
0
0
0
0
0
8
24
0
0
0
0
16
16
8
0
0
16
16
2
0
20
20
0
2
16
8
0
0
32
8
0
0
9
9
9
0
1
0
16
8
16
1
17
0
0
1
0
8
8
8
8
1
2
4
4
8
0
0
16
6
0
0
0
0
8
8
0
0
0
0
0
8
0
8
8
13
13
13
13
0
0
0
0
8
8
8
8
0
0
4
4
0
16
16
0
8
8
36
36
0
0
37
0
0
0
1
1
0
0
0
0
0
20
20
17
0
28
28
0
16
0
8
16
8
0
8
8
8
0
20
16
16
16
0
16
0
0
0
0
8
0
0
16
48
8
8
8
16
16
0
0
0
16
0
16
4
0
0
0
0
0
0
8
8
8
0
8
8
8
0
0
0
24
24
16
0
0
0
4
0
8
2
2
16
16
16
0
8
16
2
0
17
8
0
16
8
16
24
16
16
16
16
16
16
16
0
0
0
0
24
8
0
0
0
2
8
8
3
8
8
16
0
16
0
0
0
1
1
1
0
0
16
1
1
0
0
0
0
0
0
0
12
12
28
12
12
12
12
4
8
8
0
0
0
0
0
0
34
34
8
8
12
12
0
4
0
12
4
0
0
0
0
0
0
24
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
8
0
0
4
20
20
0
0
16
0
28
0
0
0
0
0
8
8
8
8
8
8
8
24
0
0
2
2
2
0
0
8
8
0
0
12
16
16
8
16
16
16
1
4
0
8
0
0
0
0
2
16
8
0
0
0
8
8
8
8
1
1
8
1
0
24
8
0
0
0
0
0
8
0
16
16
16
24
24
4
0
0
0
0
0
0
32
8
8
8
8
0
0
8
0
0
4
0
0
0
0
32
16
16
0
0
0
16
0
0
0
8
16
2
2
0
0
0
0
16
4
8
2
0
16
57
17
17
1
1
1
40
27
0
0
0
8
2
4
16
32
32
29
29
29
29
16
0
0
0
16
8
8
32
0
0
8
4
4
16
8
0
0
0
0
20
0
0
0
16
16
0
0
0
0
0
0
16
16
16
0
0
0
2
8
8
8
8
8
8
8
8
0
4
1
2
2
2
1
8
8
8
0
9
9
9
0
0
32
32
32
32
32
8
48
0
0
0
0
0
8
8
0
0
0
8
8
16
0
0
0
0
0
0
16
0
16
16
8
8
8
0
0
18
4
4
4
0
0
4
8
0
8
1
1
8
4
4
8
0
16
1
24
0
0
0
0
0
8
8
8
8
8
0
16
2
2
2
2
2
2
2
1
1
0
0
2
4
4
32
32
32
8
16
0
20
8
8
17
0
8
22
9
0
8
0
0
0
0
0
16
0
0
0
8
8
8
8
0
32
0
0
0
4
16
0
0
24
1
1
1
1
0
0
2
24
0
8
12
12
12
12
10
10
0
0
0
4
0
24
8
8
0
0
0
0
0
2
16
16
16
8
8
20
0
0
0
24
24
16
16
1
16
10
16
8
0
27
32
32
0
8
0
0
0
0
0
0
16
16
0
0
0
8
8
8
8
8
8
8
17
0
0
4
0
0
0
8
2
2
0
0
0
0
16
2
0
0
2
2
2
18
8
0
0
0
20
20
1
0
16
4
4
4
1
1
8
17
17
17
16
16
0
4
0
0
0
8
16
0
16
4
4
4
4
4
8
8
8
8
0
0
16
16
0
20
0
26
24
8
8
2
2
0
4
0
8
16
16
2
0
32
32
44
0
0
0
0
0
0
8
8
8
4
0
16
4
0
8
0
8
8
8
16
2
0
0
0
0
0
16
0
0
0
8
21
16
8
8
49
49
49
49
8
1
8
0
0
0
8
8
0
16
16
0
0
32
0
0
0
0
0
0
0
8
8
0
0
0
0
8
8
1
0
8
0
8
8
0
4
0
16
0
0
2
2
8
0
1
16
0
1
17
0
4
0
16
16
16
16
16
8
1
0
0
4
12
0
0
16
16
16
16
16
16
8
8
0
16
8
8
8
0
8
16
3
3
8
0
16
16
16
8
0
0
1
17
0
0
16
17
16
0
16
0
0
0
4
4
0
1
0
4
16
0
0
16
16
4
4
0
8
16
16
16
16
32
8
8
8
8
0
8
0
16
9
9
0
0
58
58
0
16
8
1
0
0
0
0
20
8
8
16
0
0
0
0
24
0
0
0
0
8
8
0
8
20
20
0
0
0
0
0
0
16
16
0
8
4
4
8
4
1
0
0
4
16
0
0
16
16
16
8
8
4
0
1
10
0
2
2
0
0
4
4
16
24
0
0
2
8
8
16
0
8
24
24
16
16
1
32
32
32
8
0
0
8
8
8
8
8
0
0
0
16
0
0
0
0
8
0
0
0
0
0
2
2
7
0
0
8
8
0
0
16
0
0
0
0
0
8
8
1
4
4
0
37
8
8
1
16
1
1
0
0
4
0
4
0
0
0
16
8
0
8
8
0
0
0
0
0
0
18
8
0
0
0
0
0
1
4
16
16
0
0
0
0
16
0
0
8
16
16
16
16
8
8
1
16
2
0
16
16
20
0
0
0
0
2
2
2
8
8
0
0
0
0
1
0
0
0
0
0
0
24
0
2
0
0
10
4
8
8
8
8
8
8
8
8
16
2
0
0
0
18
16
0
1
0
0
0
24
26
0
8
8
0
0
0
32
0
10
0
4
8
8
0
0
24
24
1
1
1
0
0
16
4
16
16
16
16
0
0
0
4
0
8
20
16
16
2
2
4
4
0
0
8
16
16
0
0
0
0
10
8
40
40
40
0
4
2
16
16
8
0
4
16
0
0
16
16
16
16
16
17
17
17
0
16
0
8
8
1
0
0
4
0
16
0
0
0
0
1
0
0
0
0
0
0
8
8
2
0
0
12
12
0
0
0
0
0
0
8
8
0
0
8
8
8
8
0
16
0
0
0
0
8
0
0
0
18
0
16
16
0
0
8
0
4
40
8
8
1
1
1
16
2
8
0
0
48
0
8
0
0
1
0
24
0
0
0
0
16
18
18
16
8
8
24
8
4
4
16
8
8
8
1
1
0
0
0
0
32
32
32
0
1
0
16
16
12
4
1
0
4
16
16
8
8
0
0
0
16
4
0
0
0
0
0
0
0
0
0
8
1
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
5
8
0
0
0
32
8
8
8
8
4
0
0
8
0
0
24
24
24
8
0
0
0
0
0
0
0
0
0
8
0
2
2
2
1
1
1
1
8
0
1
0
1
1
0
8
32
8
8
8
0
24
24
0
0
0
0
8
25
8
8
32
16
8
0
16
16
0
20
16
0
0
1
8
24
0
2
8
4
8
16
0
0
0
0
0
0
0
0
17
16
17
17
9
9
4
4
0
4
4
9
0
0
1
0
30
0
0
0
0
0
4
4
4
0
2
2
0
0
0
0
0
0
3
3
3
8
8
12
12
16
16
16
16
0
32
32
57
57
8
0
0
28
28
0
0
0
0
8
4
32
0
0
18
16
8
8
8
0
0
0
0
16
8
8
28
0
8
8
0
4
10
8
0
0
0
0
16
0
0
0
0
0
4
0
1
1
0
0
20
8
0
16
16
4
8
16
8
8
24
24
0
0
16
8
0
0
0
16
16
16
16
16
16
8
0
0
0
16
8
8
0
0
16
16
16
0
0
4
0
24
28
0
16
24
0
0
0
0
0
1
8
8
1
8
8
0
8
0
0
0
0
8
8
8
8
8
16
16
8
4
4
0
0
24
0
16
8
0
0
16
4
16
0
0
24
24
16
40
0
0
0
24
16
0
24
0
0
0
0
8
24
24
24
24
20
20
20
20
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
8
8
8
4
16
16
1
16
16
2
0
24
0
0
0
0
0
0
16
16
16
3
0
0
8
16
8
0
16
0
0
0
8
8
8
16
16
24
8
8
2
0
0
0
16
2
2
2
8
20
20
20
1
16
16
16
8
8
16
0
0
8
1
1
1
0
0
0
2
16
0
0
8
8
8
0
0
0
1
0
8
0
0
0
0
8
8
8
16
0
0
0
6
24
24
4
4
0
0
8
8
16
0
0
16
16
16
0
2
2
16
0
0
0
2
0
8
16
1
1
4
0
16
16
16
8
0
0
0
8
16
8
8
24
24
0
0
0
0
0
16
0
0
0
8
0
0
4
0
0
16
8
17
0
0
0
16
0
0
8
0
8
8
0
0
0
0
0
0
0
0
0
4
4
0
2
2
2
2
16
0
40
16
8
0
0
0
0
8
0
0
0
2
2
16
8
0
0
0
0
0
0
4
0
0
0
0
0
0
0
20
0
0
16
16
0
0
16
16
0
0
0
0
0
4
0
0
2
0
0
0
0
32
8
8
9
8
16
16
0
0
0
0
8
8
0
0
0
0
0
16
8
0
0
0
16
0
0
16
8
0
8
0
0
4
1
0
0
0
8
10
0
0
0
0
1
1
4
0
0
8
32
0
2
1
1
0
1
0
0
16
16
4
4
2
2
8
0
0
0
0
24
24
0
0
0
8
16
8
16
8
2
0
24
8
20
20
4
8
8
16
16
16
32
4
0
5
5
0
0
0
0
0
2
2
2
0
0
0
0
16
6
16
16
16
16
2
2
8
0
0
0
0
0
0
0
16
16
8
8
16
16
0
0
0
0
32
0
0
0
0
0
0
0
8
8
0
57
57
57
16
4
4
0
0
0
0
0
0
16
0
0
0
0
0
4
4
4
8
1
16
4
4
4
0
0
0
0
0
0
19
19
19
19
0
8
0
33
33
0
0
0
0
0
16
8
8
4
8
8
8
0
1
1
16
16
0
1
4
0
8
0
8
0
0
0
16
16
16
25
25
16
16
16
16
16
8
0
0
0
0
0
8
0
0
1
1
1
1
8
0
0
2
0
8
8
28
18
0
0
8
8
8
4
4
16
8
8
8
8
8
8
0
0
8
8
8
8
16
8
2
0
4
4
0
0
0
26
16
0
32
1
1
1
16
16
16
8
8
0
0
0
16
16
8
0
0
0
25
26
8
0
0
0
0
0
0
0
0
0
4
4
16
16
20
0
0
0
0
0
8
8
1
1
1
1
1
0
0
0
0
8
0
0
0
0
0
8
8
0
16
16
16
0
0
0
0
8
1
4
8
0
16
8
8
8
0
8
0
0
0
0
0
8
2
2
2
2
16
0
0
0
0
0
1
1
0
4
4
4
0
4
4
4
0
0
0
0
0
0
4
4
0
1
0
4
4
0
0
16
0
8
8
0
8
8
38
0
8
4
4
8
0
4
4
8
8
8
8
16
24
0
4
24
0
16
16
0
0
0
0
8
16
16
16
32
32
32
8
4
4
0
0
0
4
4
0
0
12
0
0
0
0
4
0
0
0
0
0
0
18
0
0
0
0
8
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
8
0
0
16
16
4
0
0
8
0
16
16
2
0
0
0
24
0
8
8
0
8
0
8
8
0
8
4
20
0
8
8
0
0
33
0
0
0
0
0
0
0
0
0
16
0
16
8
8
0
4
0
0
0
4
1
4
16
1
1
4
16
16
0
0
0
1
1
0
1
8
8
8
0
8
16
0
8
8
8
8
0
16
0
0
0
0
0
0
0
16
4
0
2
40
16
0
1
1
1
1
1
0
0
0
16
6
8
8
8
4
16
16
16
16
0
0
0
0
40
40
40
40
0
20
0
0
8
8
8
8
0
4
5
0
0
8
6
0
0
0
0
0
0
0
0
0
0
24
16
4
0
0
12
8
8
8
2
8
24
24
24
0
0
0
17
8
0
0
8
16
4
4
4
4
4
52
52
52
8
8
4
4
4
0
8
16
0
2
2
2
0
16
32
32
24
24
0
0
1
34
0
8
0
0
0
0
4
4
16
0
0
4
0
0
3
0
8
8
1
9
0
0
0
0
0
0
0
0
0
24
0
16
16
16
0
1
1
16
1
16
0
0
0
8
0
0
16
16
16
16
16
17
16
16
32
32
0
0
32
32
1
0
0
0
0
1
16
1
12
12
12
0
4
4
0
0
0
9
8
8
8
13
13
16
16
0
56
0
1
10
16
1
24
24
24
24
24
0
0
0
0
0
9
0
0
1
0
8
0
8
8
4
1
1
1
0
8
4
0
4
4
4
8
0
0
0
2
16
0
2
6
0
0
20
16
16
16
16
8
16
16
12
12
0
0
0
0
56
33
33
33
33
33
33
0
0
0
0
0
0
0
0
26
26
26
26
0
0
16
0
36
8
8
0
0
0
1
8
0
0
0
0
0
0
16
8
0
0
0
0
0
0
0
0
0
8
8
8
0
8
0
0
8
8
50
48
0
0
0
0
44
4
4
16
0
16
0
0
0
0
8
8
0
0
4
4
4
0
0
0
1
4
2
0
32
32
0
0
0
0
0
0
0
0
0
8
2
2
0
0
0
16
2
0
0
0
0
20
0
0
0
0
20
5
8
8
0
0
0
0
8
0
0
0
8
8
0
0
0
0
2
2
18
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
36
8
8
8
8
2
2
0
0
8
0
0
0
3
3
0
0
8
0
8
0
1
0
0
0
0
0
8
8
8
8
8
8
8
4
0
8
8
8
8
0
8
0
8
17
16
16
0
8
8
16
8
8
0
32
8
2
0
16
16
8
8
0
0
0
9
9
9
16
16
4
4
16
4
0
1
16
8
6
0
16
0
0
0
0
0
16
0
0
8
8
8
8
0
4
4
4
8
8
8
0
0
2
2
2
2
2
2
0
0
32
0
0
0
0
0
8
1
0
0
0
0
0
2
0
0
0
2
17
2
0
0
8
8
4
0
0
0
8
8
8
8
8
0
16
8
8
8
0
0
0
0
32
32
32
0
12
0
0
0
0
8
2
0
0
0
0
8
4
4
0
8
8
8
1
8
8
0
0
8
8
0
12
12
0
40
8
0
4
4
4
4
4
4
4
4
4
16
16
0
0
0
20
16
2
0
4
16
4
16
16
16
16
32
0
16
16
0
0
0
4
56
16
16
0
16
1
8
8
18
18
0
0
0
16
16
0
8
8
16
4
4
0
8
8
0
32
1
0
0
0
0
0
0
0
0
8
0
0
0
24
0
0
0
8
8
8
32
32
0
8
0
0
51
51
51
0
0
0
4
4
33
33
33
8
0
0
0
0
0
8
0
26
0
0
4
0
0
0
0
16
16
16
0
8
0
8
8
8
16
16
0
0
0
16
16
24
16
24
24
1
0
0
0
0
0
0
0
0
0
0
24
10
10
0
0
0
0
0
0
0
0
0
0
0
16
16
0
8
16
1
8
0
0
0
8
2
34
0
0
0
8
0
0
0
16
16
16
8
0
0
24
0
0
0
8
0
0
0
0
8
0
0
16
0
37
37
18
18
0
4
17
8
8
0
0
0
0
1
1
1
1
2
2
4
4
4
8
8
2
2
29
0
16
16
0
0
0
0
16
32
0
24
24
24
8
8
8
32
4
0
0
0
0
16
16
33
0
8
8
8
16
8
2
2
4
0
1
1
1
0
0
0
8
0
8
8
8
8
8
16
2
0
8
8
0
2
2
2
0
8
8
8
0
0
0
17
48
48
48
0
0
0
0
0
0
0
36
36
36
16
0
0
0
0
0
8
8
8
0
16
0
16
16
16
0
0
0
0
0
0
16
0
1
1
1
1
1
1
1
1
0
2
4
2
0
0
4
0
4
4
16
3
8
0
0
8
16
16
0
0
0
0
16
2
4
24
0
4
0
0
0
16
16
16
8
8
8
0
2
8
8
0
24
1
1
16
0
8
4
16
16
8
16
0
16
16
0
0
8
8
8
8
8
16
16
8
0
0
0
8
8
0
20
0
4
4
0
16
16
0
0
0
0
2
2
2
0
0
8
0
20
16
0
8
0
0
8
8
8
0
16
0
0
0
0
0
0
4
4
0
0
16
8
0
0
0
0
8
8
8
0
0
24
0
0
18
18
18
8
0
0
0
16
16
0
0
8
16
24
0
0
2
2
0
0
0
0
34
34
0
0
0
2
2
4
1
8
49
49
49
49
8
8
8
6
8
8
8
8
12
12
12
0
9
0
0
16
8
0
8
24
32
32
4
4
4
0
0
0
8
8
8
16
0
0
16
4
0
0
16
16
8
8
0
2
0
0
0
0
8
8
8
0
0
0
0
0
8
8
2
8
1
1
8
8
0
0
8
0
16
16
16
16
16
16
16
16
8
0
8
4
24
24
0
1
8
16
4
8
19
19
8
0
0
0
8
8
0
16
16
16
16
0
48
22
22
0
8
16
0
0
6
0
0
0
0
0
41
8
8
8
0
0
0
0
0
0
0
0
0
0
26
4
4
0
8
2
0
0
0
0
0
0
0
12
0
0
0
0
0
0
0
0
1
1
1
4
4
1
1
0
0
0
16
16
24
0
0
0
8
0
8
8
4
0
1
12
12
12
6
6
8
8
4
4
4
0
0
2
0
1
0
6
0
8
8
4
8
8
8
8
8
8
8
0
2
2
2
2
2
2
0
0
0
32
52
0
0
0
0
0
2
0
0
0
8
8
16
8
8
0
0
0
0
0
8
0
2
1
16
8
0
16
8
8
8
0
4
16
1
0
4
4
0
2
8
16
16
0
0
16
16
16
0
0
16
0
32
9
2
0
0
0
4
2
0
0
0
0
8
0
8
8
8
16
8
0
0
0
0
0
8
8
8
9
9
8
16
16
2
0
8
8
16
16
4
16
18
1
8
0
0
0
8
1
16
16
0
0
16
4
4
4
0
8
16
16
16
0
0
32
32
8
16
24
0
0
20
20
26
26
0
0
40
16
16
2
8
8
0
8
8
34
0
8
0
0
16
3
8
8
0
4
0
4
0
0
16
0
1
1
8
0
0
0
0
0
0
16
16
0
16
8
16
0
0
16
0
0
8
0
0
8
8
8
8
0
0
0
8
8
8
8
8
0
16
16
0
0
0
8
4
0
4
4
0
0
18
0
16
16
16
0
8
8
8
8
8
1
8
8
0
0
0
0
0
4
0
0
0
8
0
0
8
16
0
0
0
0
2
2
0
0
8
8
1
0
0
0
0
4
4
2
0
4
21
33
33
33
4
4
24
16
16
4
0
8
0
0
0
0
0
0
4
8
0
0
0
0
4
8
8
8
16
8
24
0
2
2
0
8
4
0
0
0
2
0
0
0
0
0
0
1
0
40
8
6
6
6
0
32
8
8
0
3
16
0
17
17
0
0
2
2
8
8
4
0
8
8
8
8
8
0
0
8
0
16
16
0
0
0
4
4
1
1
0
5
5
5
8
8
0
0
2
8
8
8
8
17
0
32
32
0
2
32
16
16
16
16
0
16
0
0
0
0
0
8
0
0
0
0
0
25
0
1
0
0
0
0
42
42
0
0
8
8
0
0
32
32
8
1
0
0
4
0
0
12
12
0
4
4
0
16
0
0
0
16
0
0
0
0
0
16
16
8
25
25
25
0
1
0
8
8
16
2
1
4
16
16
16
16
16
4
0
0
21
16
16
0
0
2
0
0
9
9
2
0
0
4
0
0
0
1
24
8
27
27
0
0
0
0
8
1
0
0
4
0
1
1
1
1
1
1
8
8
0
0
16
16
16
16
4
8
8
24
17
8
8
8
8
2
8
8
0
16
16
0
0
0
8
40
0
0
16
16
16
8
2
0
0
4
4
0
0
8
8
1
1
1
8
24
16
4
8
8
42
16
8
8
8
8
8
8
0
0
0
0
0
8
8
8
8
32
0
1
0
0
16
16
0
0
0
0
0
0
8
8
16
4
18
56
8
8
8
21
21
16
16
16
16
16
16
16
16
16
16
16
0
0
8
0
0
0
0
0
0
0
0
9
0
16
1
6
0
0
0
0
0
0
0
0
0
0
3
3
3
0
8
8
8
8
8
8
9
0
0
0
16
16
0
0
40
1
8
8
8
0
0
0
1
1
4
0
0
0
8
0
0
0
0
0
0
8
0
26
0
0
0
0
0
1
0
8
0
3
0
4
0
2
0
0
8
8
8
8
0
0
1
1
49
8
0
8
2
12
8
8
8
4
16
16
8
4
0
0
12
4
0
0
16
0
0
0
0
4
4
4
42
4
0
0
0
0
0
0
1
1
24
0
0
8
8
0
2
8
8
0
0
16
16
8
8
16
1
16
16
20
16
16
16
16
17
1
0
0
8
0
0
0
0
0
0
1
1
0
0
0
0
24
8
24
2
2
2
0
0
0
4
0
0
4
1
32
2
2
24
16
0
8
16
0
0
8
0
32
16
16
16
0
0
2
2
2
0
0
0
0
0
0
0
0
0
33
0
50
20
20
20
0
8
2
8
0
0
48
5
5
2
20
0
0
0
8
0
0
0
4
8
0
0
0
0
17
0
16
16
0
0
8
16
16
0
2
8
41
8
8
0
0
0
0
0
0
0
0
0
0
8
0
8
0
0
0
0
0
0
0
8
0
16
0
8
24
0
1
16
16
16
8
0
0
16
16
0
0
0
0
16
1
0
16
16
17
48
0
25
8
0
18
8
0
0
0
8
16
16
5
5
0
8
0
8
8
0
0
8
0
16
0
0
0
16
16
8
8
2
2
8
5
0
0
16
4
0
16
4
8
0
0
0
0
1
8
24
24
8
8
8
0
25
4
0
8
8
56
8
32
32
0
0
0
2
0
0
12
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
8
16
16
0
8
8
8
8
8
24
0
2
2
2
17
0
1
1
16
0
1
16
0
16
4
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
1
16
8
8
16
8
0
8
0
2
8
16
8
8
32
0
0
0
0
0
2
0
1
0
8
4
4
0
16
16
16
16
16
16
16
16
16
16
16
0
0
0
0
0
8
0
0
10
10
10
16
0
5
5
0
0
0
0
16
32
0
0
0
0
0
0
0
32
32
0
0
0
16
0
0
2
4
33
33
8
0
0
0
10
0
0
16
0
32
32
0
0
0
0
0
0
0
0
0
8
4
16
0
8
0
0
0
8
2
0
0
0
8
8
0
8
8
8
20
0
0
0
0
8
16
16
8
0
21
21
8
2
32
8
8
8
8
8
0
0
16
8
16
0
0
0
0
0
0
0
8
16
0
4
16
4
32
0
0
0
0
0
0
4
0
0
8
0
16
0
0
32
0
0
0
3
8
0
0
16
0
0
2
2
0
16
16
0
0
0
0
0
16
52
0
16
0
0
0
1
1
2
8
24
4
0
16
0
1
0
1
8
8
8
8
8
8
0
8
8
8
4
4
0
0
1
24
24
24
24
24
0
0
0
0
0
8
0
0
16
16
0
0
0
0
8
4
4
32
0
0
27
24
24
8
8
0
16
0
0
0
0
0
0
0
8
0
0
0
0
1
0
0
1
1
1
0
0
0
0
16
0
0
0
0
0
0
24
0
16
16
0
1
16
16
16
0
8
40
40
0
0
1
16
16
0
0
8
0
0
0
0
0
16
8
16
4
0
0
9
0
0
32
32
32
0
0
1
1
1
2
0
0
0
8
0
0
0
0
0
0
0
0
0
16
16
1
1
1
8
0
0
40
0
50
4
4
4
4
8
8
0
0
0
0
0
0
0
0
0
0
8
0
8
8
40
40
40
40
0
8
8
16
4
0
16
0
0
8
8
8
0
16
16
8
0
16
16
0
0
0
0
27
34
0
16
0
0
16
0
6
8
8
8
8
0
0
16
16
16
0
8
1
0
0
0
0
32
32
32
4
4
8
16
8
8
0
0
8
8
24
24
24
24
16
32
16
0
0
0
0
0
0
0
8
2
2
8
8
4
8
0
0
24
0
0
0
0
8
8
8
8
0
16
16
16
16
12
12
16
16
16
16
8
16
32
0
0
8
0
16
4
4
4
4
16
16
16
16
16
0
2
0
4
0
0
16
16
8
0
0
0
4
0
0
8
0
0
0
0
0
0
0
8
0
24
0
0
0
0
0
0
0
16
0
8
0
8
8
8
8
8
8
8
8
16
0
2
0
0
32
0
0
0
0
0
8
8
0
0
4
0
0
16
1
8
0
4
0
4
16
0
0
0
0
0
0
0
1
6
6
6
20
20
1
8
6
2
0
16
1
4
56
8
8
8
8
1
1
0
32
32
0
32
32
32
32
8
8
2
8
0
14
0
8
8
8
24
16
16
2
2
2
8
0
0
0
0
0
0
0
20
0
8
0
1
1
24
4
4
4
4
24
32
32
16
16
16
16
0
0
0
0
0
0
0
8
0
0
8
0
0
0
0
8
8
0
0
0
0
32
8
8
8
8
0
8
0
2
16
32
32
8
2
2
8
4
4
8
40
0
0
2
2
0
0
0
4
8
0
0
0
0
8
0
0
0
2
8
0
0
17
0
16
16
0
0
8
24
16
16
0
0
0
0
0
8
8
0
20
8
8
8
0
24
0
0
0
0
8
2
0
0
0
2
2
8
8
8
8
0
17
16
16
16
16
0
1
8
0
0
0
0
16
8
8
4
16
0
0
4
0
0
0
0
2
16
16
0
0
8
8
8
0
8
8
8
48
16
0
6
16
0
1
2
0
17
17
17
0
8
0
8
0
0
0
0
0
8
20
4
4
0
0
16
16
16
16
16
16
16
16
16
16
16
16
8
8
0
0
16
0
0
16
16
16
20
0
4
4
4
0
0
0
0
0
0
16
4
4
0
0
0
16
0
16
16
24
8
53
53
0
0
0
4
0
2
4
4
8
0
16
16
0
0
0
0
0
20
8
0
40
0
8
0
8
0
0
0
0
0
8
8
8
0
0
0
8
8
8
8
0
0
8
4
4
1
4
4
8
8
8
0
0
16
0
16
16
16
0
0
0
0
12
16
0
24
32
44
0
0
16
8
8
0
8
24
24
0
0
0
0
0
0
0
0
4
4
4
4
0
2
17
0
0
0
16
16
16
16
16
0
0
24
0
16
0
0
8
8
8
0
0
16
16
8
23
0
0
0
16
0
1
12
0
0
4
0
0
0
48
16
16
16
2
2
8
16
0
0
8
0
0
0
0
16
16
16
16
16
0
8
16
2
0
8
0
8
8
4
1
8
0
0
0
9
9
0
0
1
1
1
1
1
0
8
8
8
16
16
16
16
8
8
2
8
0
0
0
1
1
12
0
0
0
0
32
32
4
0
0
0
0
8
16
2
8
8
0
60
60
0
0
0
0
0
0
0
16
16
16
0
0
16
16
16
0
0
2
0
2
0
0
0
0
0
0
0
0
1
36
36
36
20
20
24
0
0
16
16
0
18
16
0
1
8
8
8
8
0
2
20
0
8
0
0
0
0
8
8
0
0
28
28
8
8
24
24
24
4
8
0
1
0
0
0
0
0
8
2
8
4
0
8
8
8
0
12
12
8
1
8
0
25
16
0
0
16
0
0
0
8
1
1
1
1
16
16
16
16
16
0
24
0
16
16
0
0
2
2
1
1
1
1
24
24
0
0
0
0
8
8
0
0
0
8
0
4
24
8
8
0
0
0
4
4
4
8
0
0
0
0
12
24
0
0
16
16
28
16
8
16
16
1
1
1
17
16
0
0
0
16
16
16
16
16
16
4
4
0
8
8
8
0
0
0
0
0
0
16
0
16
0
0
25
8
8
8
0
0
0
2
0
32
8
4
4
0
0
0
8
8
0
0
0
4
16
0
0
0
37
0
0
16
0
8
4
0
16
8
0
0
0
0
0
0
0
0
0
0
1
1
8
0
16
16
16
27
4
4
8
0
24
0
0
48
48
8
0
8
1
0
0
0
0
16
16
0
8
8
8
8
0
0
0
0
8
0
0
25
0
16
1
1
16
16
16
16
2
2
16
16
16
16
16
16
19
19
8
8
8
8
8
4
20
16
0
0
16
16
16
0
32
8
26
16
16
16
0
0
16
0
0
1
0
0
0
0
0
1
1
16
16
16
0
16
7
0
8
8
0
0
8
0
0
0
9
8
0
32
32
0
1
1
0
0
0
2
1
16
0
9
18
16
16
4
4
16
16
8
8
0
2
0
0
8
0
0
0
0
14
0
0
0
0
8
8
8
8
8
8
8
8
8
0
16
16
16
9
0
16
16
16
0
0
8
16
16
16
0
25
40
8
0
0
0
16
0
8
0
0
0
0
24
4
0
0
0
8
8
8
8
8
8
8
4
8
0
0
0
0
0
2
16
10
8
8
8
8
8
16
32
32
24
0
0
16
8
1
32
0
8
8
8
16
0
0
16
16
0
0
8
16
16
0
0
0
8
8
8
0
0
4
4
4
4
0
0
0
0
0
0
0
0
0
0
16
16
16
16
16
16
2
0
0
0
4
0
8
8
8
8
8
8
4
16
8
16
0
0
16
4
0
0
0
8
8
8
32
15
15
2
2
16
20
12
16
12
0
24
0
8
0
0
0
0
9
9
9
9
9
0
8
0
0
16
8
0
0
0
16
16
16
16
0
0
16
16
8
34
16
0
1
0
1
0
4
0
0
0
0
0
8
8
8
2
2
2
2
0
1
0
0
20
4
4
12
16
24
0
0
0
0
0
0
16
0
16
8
16
0
4
4
8
8
10
0
8
0
0
0
0
0
8
1
8
8
8
8
8
8
4
1
0
0
2
16
16
0
16
16
4
0
0
0
0
0
8
0
8
1
16
2
16
16
0
6
6
8
8
8
8
0
0
0
0
0
0
0
8
16
16
16
0
0
0
8
0
0
4
8
0
0
9
2
2
2
4
0
4
0
0
0
0
0
0
25
25
16
8
32
32
8
8
0
16
16
0
8
8
0
0
0
0
0
1
2
2
0
8
8
0
20
20
20
20
0
0
4
4
4
8
0
0
0
16
16
16
16
16
16
8
16
16
0
0
24
8
8
8
0
1
0
0
0
24
24
24
24
0
0
16
16
16
17
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
16
16
0
0
0
16
16
16
16
0
0
40
2
2
2
0
0
0
0
4
4
8
0
0
0
2
0
0
0
16
16
16
4
0
0
16
16
4
4
0
0
4
0
0
0
8
0
0
0
0
0
0
16
0
0
0
8
0
2
24
16
0
8
0
0
0
4
2
4
0
0
0
0
8
8
0
0
0
0
0
0
16
16
16
0
0
0
0
8
4
4
2
8
0
8
0
16
8
16
16
0
0
2
1
0
0
0
0
0
32
0
0
0
1
0
16
0
4
8
8
8
8
8
32
32
0
8
0
8
16
0
8
0
0
0
32
0
0
32
16
8
2
2
2
16
8
2
2
5
0
8
8
8
16
16
16
0
8
0
16
8
8
0
0
0
1
1
16
0
1
1
1
1
1
1
8
8
8
8
8
8
4
4
0
0
0
2
2
2
0
0
18
8
8
0
0
0
16
16
8
16
0
0
0
0
2
16
16
4
0
16
32
0
2
8
8
2
0
0
0
0
4
4
8
8
8
0
0
31
31
4
4
4
8
2
4
4
0
0
4
0
0
0
8
17
17
0
0
0
0
0
0
0
0
4
4
0
0
0
0
16
16
16
16
16
8
8
8
8
16
16
0
0
8
8
8
8
16
8
16
0
32
0
8
8
8
0
0
0
0
0
0
8
16
0
8
16
0
8
8
8
8
8
0
16
16
8
8
0
0
0
0
0
8
8
8
8
8
8
8
16
8
1
0
8
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
9
0
0
4
4
8
24
0
8
16
16
16
16
28
16
0
0
0
0
0
0
0
0
0
0
32
8
8
16
16
16
1
1
8
26
26
16
0
16
16
16
0
16
16
0
16
0
0
0
0
0
0
28
12
16
16
16
0
0
4
8
4
8
8
8
0
4
4
0
0
0
3
0
0
0
0
8
8
0
0
8
8
8
0
0
0
16
0
0
0
24
24
0
1
0
8
8
0
0
8
2
1
16
16
0
0
0
8
12
16
0
0
0
8
8
1
0
0
16
8
5
0
0
0
8
16
16
0
17
17
17
8
0
0
0
0
1
0
0
24
8
8
8
0
48
8
8
32
0
0
6
6
0
0
16
0
0
0
2
2
2
2
8
8
8
0
0
32
0
0
0
0
0
0
0
0
0
8
4
8
8
8
0
0
0
0
0
8
0
0
8
8
0
0
0
2
0
1
8
0
0
8
16
8
0
16
4
8
8
1
0
24
16
1
4
0
0
16
0
18
0
0
0
0
0
0
16
16
14
0
0
8
0
0
0
0
8
4
4
4
0
0
8
8
0
0
8
8
0
0
2
2
2
2
0
0
0
0
8
8
8
16
0
0
20
16
0
0
0
16
8
0
0
8
0
16
20
0
2
2
48
48
8
0
16
16
0
8
0
0
0
0
0
0
0
0
8
1
1
1
1
0
0
8
8
0
0
0
0
0
1
4
4
0
16
16
48
4
4
4
0
8
16
0
0
8
8
8
8
8
8
0
16
16
16
4
8
8
8
8
8
0
0
0
6
6
6
0
16
0
0
32
32
6
0
0
16
16
16
8
16
0
0
0
4
4
0
0
4
0
10
32
8
8
4
4
8
8
8
0
0
0
8
0
8
4
0
0
0
0
0
0
16
4
4
0
0
0
8
1
1
1
16
16
0
8
0
8
8
8
1
1
2
8
16
0
0
0
1
1
1
20
20
20
20
20
20
0
8
8
8
16
16
24
24
0
0
0
4
0
2
0
8
41
8
4
17
17
8
8
8
8
8
0
0
0
8
2
0
16
1
1
0
16
0
0
0
8
0
0
16
0
0
0
1
1
1
0
1
0
4
2
24
0
16
0
8
18
0
13
0
0
0
0
0
0
8
0
4
2
0
0
16
16
0
4
8
0
0
0
0
0
16
0
0
0
0
4
4
0
16
0
8
8
8
16
16
16
16
0
8
24
16
16
0
0
4
8
0
0
0
16
1
0
16
8
8
0
0
0
32
32
32
32
0
1
1
8
8
8
8
0
0
0
0
0
8
8
8
8
8
8
8
0
8
0
0
8
0
0
1
9
9
8
1
0
8
1
0
0
0
0
0
8
0
24
0
10
8
8
0
0
8
8
0
0
0
1
0
0
0
0
0
0
0
0
0
8
8
4
0
0
0
0
16
4
8
0
8
24
18
16
32
0
8
8
0
0
0
0
2
2
0
0
0
16
1
2
8
8
0
8
0
0
16
16
8
4
0
28
24
24
24
0
2
16
1
1
16
0
0
0
0
0
0
32
0
0
0
0
0
10
16
8
8
32
16
16
0
8
16
8
8
0
0
0
12
12
12
5
24
0
0
8
8
0
8
0
0
1
1
1
0
8
8
24
52
0
24
24
4
0
0
1
0
16
0
0
0
0
0
0
8
12
49
49
49
49
49
1
0
0
0
28
0
0
32
48
48
0
16
24
4
4
4
4
4
4
4
0
4
4
4
4
8
2
16
8
0
4
4
0
0
1
0
8
2
0
0
0
0
0
2
2
2
16
0
8
4
4
0
2
8
0
1
0
4
0
0
0
1
0
0
8
0
0
0
0
0
0
0
0
40
40
40
4
4
4
4
0
0
1
0
0
0
32
8
8
12
2
0
0
0
0
0
0
0
0
0
8
8
32
2
25
25
25
0
0
0
16
16
16
16
16
0
8
0
0
0
0
16
0
4
24
8
0
8
16
16
16
8
2
16
0
0
16
8
1
1
16
8
16
0
0
0
0
0
16
0
0
0
16
16
16
0
16
16
8
2
2
2
21
0
0
8
16
1
0
16
16
16
0
0
0
0
0
1
0
1
1
16
4
4
4
4
0
16
16
8
40
0
16
1
1
0
8
8
8
0
0
0
8
8
0
0
0
18
18
16
0
0
0
0
0
0
8
0
0
16
16
8
16
24
8
0
2
40
40
0
16
0
0
0
0
8
1
1
8
8
8
8
8
0
0
0
0
0
0
0
0
8
8
0
0
1
1
0
0
32
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
8
8
8
32
0
0
32
0
1
1
4
0
8
12
20
0
9
0
0
16
0
0
0
0
0
0
0
1
1
0
0
0
5
8
8
24
0
0
16
0
8
8
8
1
0
0
6
16
24
16
2
2
8
8
0
2
8
1
1
34
0
0
8
8
16
32
8
8
8
0
0
8
1
0
16
16
3
0
16
16
0
0
32
0
16
16
16
0
0
0
0
0
0
16
16
2
8
8
8
8
0
0
0
8
8
8
8
0
0
16
16
0
0
0
4
4
8
8
24
0
41
0
0
0
0
0
0
0
16
0
16
0
0
0
0
0
0
8
8
8
8
0
0
17
8
8
8
0
32
0
0
22
22
22
22
10
0
0
3
24
8
16
0
8
8
8
0
0
0
0
4
0
0
0
8
8
8
19
0
0
28
28
0
40
43
8
8
8
8
8
1
16
16
16
16
16
0
8
0
8
1
1
0
0
0
8
8
8
8
16
16
16
2
8
0
0
0
0
0
8
0
8
8
8
32
16
0
0
16
16
16
16
16
0
48
8
0
1
1
0
4
0
0
0
0
0
2
20
20
20
4
0
16
16
16
48
32
8
0
0
0
0
16
0
0
0
0
0
0
0
0
8
8
0
0
8
8
8
8
0
0
0
0
8
20
0
1
8
8
24
4
0
0
0
0
0
8
0
0
8
0
0
8
8
4
29
16
0
24
24
0
4
16
16
0
8
8
8
8
8
8
1
16
16
0
0
0
0
0
0
32
32
0
0
0
0
0
0
16
16
0
4
4
0
5
5
0
0
8
8
16
0
8
0
16
8
8
9
9
16
16
0
8
1
8
1
1
0
8
0
0
0
8
8
17
0
0
8
16
8
0
8
0
0
0
0
2
2
2
0
0
0
2
0
0
0
0
0
0
0
32
32
32
0
0
0
0
8
44
44
25
8
4
8
0
8
8
0
0
16
40
0
0
0
8
0
1
2
16
16
8
8
0
0
0
8
8
1
0
0
16
8
0
0
8
8
0
0
0
0
16
16
0
16
8
0
8
8
8
16
8
0
8
8
8
1
0
0
0
0
6
6
5
8
0
0
8
16
0
10
2
16
0
0
40
0
0
0
0
0
0
4
0
2
2
16
0
0
16
16
0
0
0
0
0
18
18
8
1
0
2
16
0
8
2
0
0
0
0
0
0
0
0
16
16
16
1
16
0
8
3
16
0
0
0
0
0
0
0
32
32
16
16
8
1
16
16
0
16
16
0
4
16
16
16
0
8
1
0
0
0
0
2
2
9
16
16
0
0
48
0
16
0
0
2
2
8
8
16
16
16
16
24
0
0
0
8
8
8
8
13
36
17
4
12
0
0
8
24
0
0
8
8
0
0
8
16
0
0
0
0
8
8
2
12
0
0
0
4
1
1
0
8
0
0
0
0
1
0
16
16
0
0
8
0
4
4
4
4
4
8
8
8
8
16
8
0
0
2
16
0
0
8
0
0
0
0
0
8
16
8
8
0
0
0
32
0
24
24
24
4
0
8
8
12
0
8
8
24
24
0
0
8
0
0
0
32
0
32
8
1
8
0
0
8
8
8
8
0
0
1
1
0
8
8
32
8
8
8
8
0
8
0
0
0
0
8
8
30
8
1
16
17
4
0
16
0
0
4
8
8
8
1
0
16
8
8
0
4
4
4
16
16
0
4
4
4
0
1
16
16
16
16
0
0
0
24
16
16
0
0
0
4
4
8
2
2
24
24
0
0
0
16
16
0
0
0
0
0
8
8
1
0
8
4
0
0
0
0
0
0
0
24
0
0
0
0
8
8
0
0
0
16
0
0
1
1
1
16
0
0
8
4
0
0
16
8
0
2
36
16
12
0
0
0
0
0
21
0
0
0
8
8
0
0
0
8
0
0
0
8
1
0
0
0
0
0
0
0
24
1
0
0
0
8
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
4
4
4
0
32
8
0
0
4
16
16
24
4
0
0
24
0
0
16
0
8
8
4
2
2
0
20
0
0
8
1
1
1
16
16
16
16
16
16
16
16
24
0
8
0
8
8
8
2
16
16
0
0
0
0
0
0
0
0
0
0
16
4
4
4
4
0
8
8
0
0
0
0
0
0
0
8
8
0
29
8
8
0
9
16
0
0
8
8
8
0
4
0
8
8
8
0
0
8
0
0
0
8
0
0
0
0
0
8
2
0
0
0
0
0
16
0
0
0
8
0
0
0
0
0
16
8
0
6
0
0
0
0
4
9
9
9
9
0
0
16
0
0
0
1
16
16
0
50
16
8
0
0
0
0
4
4
0
2
16
16
0
8
0
9
0
0
9
0
0
0
0
0
16
32
16
0
8
8
0
0
0
0
0
0
24
1
0
0
0
0
1
1
0
0
0
0
0
16
24
0
8
0
16
16
8
0
56
0
0
16
4
8
16
16
0
0
0
0
0
8
0
0
16
8
16
8
0
0
16
16
0
0
0
8
0
8
16
16
16
4
4
0
16
16
8
0
0
0
0
2
0
8
16
8
8
8
24
8
8
8
12
0
8
8
0
0
0
0
0
0
0
4
4
0
0
0
0
0
0
0
0
16
32
32
32
32
0
0
0
0
0
0
0
0
0
8
16
16
0
0
8
8
4
4
4
4
4
0
0
0
0
8
16
0
0
0
0
0
16
16
0
18
18
0
0
0
0
0
3
3
6
8
8
8
32
0
0
0
0
4
1
0
2
1
16
24
0
0
0
8
8
8
1
1
1
1
0
0
5
5
9
8
0
0
0
0
16
2
0
0
0
0
0
0
0
16
0
16
16
8
0
0
0
24
24
0
0
16
16
16
16
0
0
0
32
32
32
0
0
0
4
16
16
16
0
0
0
24
24
16
0
0
0
0
8
16
0
16
0
0
0
16
16
32
24
24
24
24
24
0
0
0
8
8
8
13
0
0
0
9
0
0
16
16
16
16
0
16
0
4
4
4
0
0
24
16
16
0
0
10
16
0
0
0
0
0
2
2
0
0
0
0
0
16
0
0
2
8
8
8
8
17
0
16
8
8
24
8
8
0
0
0
24
2
0
1
1
1
0
0
0
0
8
8
8
0
0
0
4
0
0
1
8
8
8
0
8
8
8
8
4
16
0
0
0
32
32
32
2
2
0
16
16
0
0
0
0
0
8
0
16
0
8
0
0
25
2
2
0
8
8
8
8
16
16
2
8
8
0
0
0
8
0
0
0
2
0
0
16
0
30
8
12
12
8
0
0
2
2
0
0
16
16
0
0
0
0
0
0
0
0
8
8
0
0
0
0
16
8
0
0
0
16
16
8
8
8
8
8
8
1
0
0
49
0
8
0
8
8
0
0
8
4
0
16
16
24
0
0
0
0
0
0
4
16
0
8
1
4
4
4
8
0
4
56
0
16
0
0
8
8
16
0
0
16
8
0
0
8
4
8
0
4
4
0
16
0
8
16
16
16
16
16
16
16
16
16
16
16
16
24
0
8
16
0
1
0
0
8
8
16
16
8
8
8
0
0
0
0
0
0
0
0
4
8
5
5
16
0
0
8
0
0
0
0
16
0
0
8
0
8
0
0
1
2
16
2
2
0
1
17
0
0
0
0
0
0
24
2
2
16
1
1
0
4
0
10
8
4
4
16
0
0
0
0
8
8
1
0
0
8
0
0
0
0
0
0
8
0
16
16
16
24
0
0
16
16
0
0
4
2
24
0
0
0
2
0
0
0
8
0
0
0
0
0
0
0
11
0
0
2
2
16
0
0
0
0
0
0
0
0
5
0
0
0
0
3
1
8
8
0
8
0
0
0
0
2
10
0
16
1
1
1
0
16
8
0
4
4
0
16
4
8
0
0
0
0
0
0
8
16
16
16
0
0
8
8
8
0
8
0
0
16
8
16
8
0
16
0
11
0
0
0
0
0
0
0
0
0
16
16
16
16
0
9
0
0
8
32
32
32
0
0
8
0
4
20
0
8
1
0
0
0
16
44
44
0
0
8
0
2
28
2
0
0
0
0
16
0
16
16
0
16
16
0
20
16
0
8
18
0
0
0
0
0
0
16
16
16
16
16
0
0
0
0
2
1
0
0
0
0
0
16
0
0
8
8
4
4
2
8
8
8
0
0
0
20
8
0
16
8
0
0
0
0
0
17
0
0
0
0
0
1
1
8
8
2
2
32
32
0
1
1
0
0
0
0
0
0
17
0
0
16
16
8
0
24
0
0
0
0
4
0
16
0
0
8
8
8
16
16
0
0
0
0
8
8
16
0
0
27
0
0
8
32
32
12
25
25
2
9
9
9
9
9
9
0
0
0
0
0
0
4
16
8
8
0
0
0
16
1
1
0
0
0
16
16
4
12
12
12
20
0
0
0
16
0
0
0
8
0
60
0
0
8
0
8
0
16
0
0
0
0
0
0
0
3
0
0
17
0
16
0
0
0
8
8
8
8
8
8
1
16
16
16
0
16
1
2
2
0
0
0
0
0
0
0
0
0
0
0
0
16
0
8
0
0
0
0
0
0
0
18
18
8
8
8
4
0
8
8
0
8
2
0
0
0
16
0
0
0
20
4
5
16
16
16
0
9
9
9
9
9
13
16
16
0
8
0
0
0
8
0
0
0
0
0
0
4
8
8
4
4
4
6
6
6
6
0
0
8
8
16
16
2
0
32
32
8
16
16
16
16
16
8
0
0
0
8
0
0
1
0
0
2
1
0
0
0
4
0
2
8
0
0
8
0
0
32
0
0
16
16
16
16
16
0
8
0
16
16
16
16
0
0
0
0
8
0
28
16
16
0
0
0
8
0
0
8
0
0
16
0
0
3
16
16
0
2
16
16
16
16
0
0
16
2
2
0
0
0
8
0
0
8
0
24
8
16
16
16
24
0
0
28
28
16
0
0
0
0
0
16
16
0
0
20
20
48
18
0
8
8
8
8
8
17
0
16
16
16
16
24
24
8
0
2
2
32
32
32
32
16
0
0
0
0
2
2
8
0
0
0
0
2
16
12
16
16
20
0
0
0
0
16
4
4
32
32
32
8
16
0
10
8
8
0
16
16
16
0
0
0
0
2
2
4
16
40
16
16
16
0
0
0
0
0
0
32
2
8
0
8
0
4
4
0
17
0
0
0
0
0
0
0
0
0
4
8
0
0
0
4
4
4
0
1
1
1
1
1
1
0
0
8
0
0
1
2
16
16
0
0
44
44
44
44
1
1
1
8
8
8
0
16
16
0
2
0
0
0
0
0
0
8
8
0
0
2
0
0
16
16
0
0
0
0
32
32
32
32
32
32
32
32
32
32
2
0
0
0
0
0
36
0
1
0
0
8
2
0
0
0
8
0
0
0
0
26
0
0
0
8
0
0
8
8
1
1
0
16
0
16
0
0
8
8
8
9
9
0
0
8
8
0
0
0
0
32
8
8
0
0
0
12
4
0
0
0
0
0
0
0
0
0
0
8
24
24
24
10
0
0
4
0
8
0
8
8
0
0
16
0
8
16
41
0
8
0
0
0
0
0
0
8
8
8
8
8
8
16
8
8
8
3
0
0
36
0
1
0
4
16
8
0
0
0
0
0
0
0
17
40
40
0
24
24
16
1
0
0
8
0
0
0
0
0
0
0
60
2
2
8
1
1
1
56
56
56
56
0
0
0
0
0
0
0
1
1
0
16
24
4
4
0
0
12
0
0
0
0
8
16
0
2
2
0
16
0
8
0
0
0
4
8
6
17
24
1
16
8
8
4
8
16
4
28
28
2
2
16
16
16
16
16
0
0
0
0
8
8
0
0
8
0
4
0
0
32
0
1
8
0
32
32
32
32
0
0
4
16
0
8
0
0
0
0
2
2
2
16
8
8
8
8
8
0
16
16
16
32
32
0
1
9
8
8
0
0
0
0
0
0
28
8
8
0
32
32
32
32
32
32
32
0
8
2
8
8
8
0
0
0
12
4
1
0
0
0
18
8
0
0
0
16
16
16
18
4
0
0
0
0
0
0
0
0
0
16
24
24
24
0
1
2
0
0
0
8
8
8
8
0
8
0
8
16
0
0
16
8
8
0
8
8
8
8
8
8
8
0
8
12
0
0
2
8
17
0
24
0
12
0
0
0
0
0
1
0
0
35
16
0
17
16
0
16
16
0
41
0
16
16
8
32
0
0
0
0
0
8
4
0
0
0
0
0
0
0
16
0
0
0
0
0
1
4
0
0
20
0
2
16
16
0
0
0
0
0
0
3
0
16
16
16
16
0
0
8
0
0
0
0
4
0
0
24
24
0
0
1
1
8
8
8
0
9
8
24
24
24
0
24
4
0
16
24
8
0
8
0
8
8
8
8
0
1
24
0
0
3
3
0
0
8
1
1
8
4
0
0
0
0
0
16
0
0
0
0
0
2
40
0
8
0
18
10
2
1
0
8
8
8
2
0
0
0
0
8
0
0
24
0
0
8
8
1
1
24
24
24
24
0
34
34
34
34
16
8
8
16
16
16
16
16
16
8
0
0
0
8
0
32
0
8
8
0
0
0
1
1
16
16
8
8
8
8
0
0
0
8
0
0
0
0
0
0
16
16
16
16
0
8
8
8
0
24
8
8
8
8
0
0
0
32
32
0
49
0
0
8
8
0
0
16
0
0
4
4
0
16
0
0
0
0
0
0
0
8
0
0
0
8
16
34
16
24
24
8
8
8
0
0
32
32
20
16
1
0
0
0
0
0
26
26
0
4
4
16
16
16
8
0
24
1
1
1
16
8
8
8
8
8
0
9
0
8
0
16
16
0
0
8
8
8
0
8
1
4
8
4
4
0
8
16
0
16
0
16
2
0
0
0
8
0
0
0
8
6
6
0
0
8
16
16
16
0
0
0
0
0
0
0
2
0
1
8
8
32
0
0
20
4
25
8
10
16
16
24
0
16
0
1
24
16
16
16
8
0
17
8
0
2
24
16
0
9
16
8
1
1
4
1
1
16
0
0
0
0
0
8
16
0
0
8
8
10
8
16
8
16
8
8
16
4
8
28
4
1
16
0
17
8
8
8
8
0
16
16
0
0
0
0
0
0
0
0
8
0
0
0
4
16
0
16
16
0
4
16
16
1
16
16
16
16
1
1
1
0
8
1
8
0
0
0
0
16
1
0
0
0
8
8
8
16
8
0
0
16
4
8
0
0
4
4
4
0
0
8
8
12
0
0
9
9
1
1
8
8
8
8
8
0
0
16
8
0
0
0
0
0
4
0
0
0
8
16
16
16
0
0
0
0
0
0
1
16
0
8
8
8
8
8
0
0
0
42
8
8
0
0
0
0
0
0
4
8
8
0
2
2
2
2
0
16
16
0
0
0
16
0
4
0
32
8
0
8
0
0
0
0
0
2
0
8
8
0
0
16
0
1
16
0
0
0
0
0
0
0
8
8
0
0
16
0
4
4
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
18
8
0
0
8
8
8
8
0
16
16
16
16
8
0
0
8
0
0
0
0
0
4
4
0
0
0
8
16
24
24
24
24
0
0
16
14
0
0
16
1
0
0
0
16
0
16
16
1
4
4
0
8
8
8
0
50
52
52
52
0
0
8
8
16
4
4
8
16
23
0
0
0
0
0
0
0
0
0
16
24
16
0
16
0
0
16
16
4
0
8
8
16
16
2
8
8
0
0
16
1
0
18
8
18
18
18
12
0
0
8
1
16
16
16
8
0
0
0
0
2
0
16
0
16
0
8
0
0
16
16
16
9
8
8
0
0
18
16
0
0
0
0
4
16
32
16
8
8
16
16
0
0
0
4
4
8
8
0
0
0
16
20
0
0
0
0
0
8
8
2
8
0
16
8
8
16
16
0
2
2
8
8
0
0
0
0
0
0
2
2
2
2
4
4
16
4
0
0
16
16
0
0
4
0
34
16
0
8
0
8
8
8
24
24
1
16
16
16
16
1
0
0
8
56
0
0
0
8
0
1
0
0
0
8
8
8
2
2
2
0
8
0
0
4
48
0
16
0
0
0
0
0
0
0
0
0
0
0
40
40
40
8
4
14
0
0
0
4
25
2
2
18
18
8
1
4
4
0
0
4
0
0
24
24
0
16
8
8
8
0
0
1
1
0
13
8
8
8
8
0
0
0
0
0
0
0
0
28
0
0
0
0
0
4
4
40
40
40
0
0
0
1
16
4
4
4
0
0
1
8
2
2
16
0
8
8
24
24
24
24
8
0
0
0
0
0
0
0
0
26
0
0
0
0
2
12
12
0
4
4
0
0
2
8
0
0
11
11
0
0
16
16
16
16
16
8
8
8
0
1
0
0
0
0
8
8
8
8
0
0
0
16
16
16
16
0
0
0
0
0
1
16
16
16
16
0
0
16
2
0
16
16
16
16
1
1
0
8
1
0
0
40
0
0
0
0
0
8
8
8
0
16
0
0
0
0
0
0
0
0
8
24
16
6
6
0
0
0
0
2
2
2
4
12
12
12
12
12
12
12
4
16
10
10
0
0
6
3
0
0
0
16
9
0
2
0
8
8
0
10
10
10
0
16
16
0
1
4
0
16
0
0
16
16
0
16
4
4
4
8
16
0
2
0
0
0
0
1
0
0
0
0
2
0
0
9
9
9
32
8
0
0
8
2
8
8
0
0
0
0
0
24
24
0
0
16
16
8
8
4
0
0
8
0
8
8
4
4
8
8
8
8
1
0
0
16
8
8
0
0
0
4
4
20
20
0
0
0
16
0
0
2
16
0
0
0
0
0
0
0
8
8
0
8
0
8
0
0
8
8
8
8
8
8
12
12
8
0
0
0
32
8
0
0
4
8
0
4
32
32
32
8
0
8
0
0
8
16
5
0
16
16
24
0
0
8
1
16
16
0
1
1
5
0
8
8
0
0
0
0
0
0
0
0
8
8
8
0
0
0
8
0
0
16
9
0
0
32
26
0
0
0
16
17
17
8
8
8
0
49
49
1
32
0
0
1
0
0
0
0
0
0
16
16
16
0
0
16
8
0
0
0
0
16
16
16
16
0
8
8
1
0
0
0
1
1
1
0
8
0
16
8
16
0
16
16
1
1
16
8
17
17
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
1
0
0
16
16
0
0
8
4
1
4
8
8
4
4
4
8
0
0
0
16
16
16
0
0
0
24
16
0
0
0
16
16
16
0
0
0
0
0
28
2
1
8
0
0
4
4
4
5
0
16
0
0
0
0
0
2
8
24
24
20
0
0
0
4
4
12
16
8
8
1
1
16
16
0
21
21
21
32
0
0
0
4
4
16
0
0
0
0
0
8
8
2
32
4
0
0
8
8
0
0
16
0
32
0
8
1
4
0
0
8
0
0
0
0
8
0
0
0
0
16
0
1
8
0
0
0
0
0
8
16
1
1
1
8
0
0
0
8
8
0
15
15
8
32
0
24
33
33
33
33
1
20
20
20
0
6
16
16
0
0
0
0
0
0
0
0
0
0
1
1
0
0
8
9
0
16
0
0
4
4
4
0
0
0
0
0
16
9
0
24
0
0
16
16
0
0
0
0
0
8
2
0
0
0
0
8
8
16
0
0
8
8
0
8
0
0
0
0
0
8
8
4
2
8
4
0
2
0
0
8
8
0
0
0
0
0
0
16
0
16
16
16
0
0
8
8
16
16
16
8
0
0
0
32
9
9
0
0
0
0
0
16
4
16
0
0
0
4
0
0
0
2
24
16
0
8
8
8
8
32
32
32
16
1
0
8
4
4
16
16
16
0
0
1
0
8
8
8
8
8
16
16
0
8
7
0
16
16
8
8
0
8
8
57
57
0
8
8
0
16
16
8
4
0
0
0
8
4
16
4
4
4
16
16
0
0
8
12
12
12
12
2
2
2
2
2
2
0
0
4
9
9
16
8
2
0
0
0
0
16
0
0
0
0
0
0
0
0
2
0
0
0
17
0
0
0
0
8
16
16
1
4
2
16
0
0
0
56
1
32
32
8
4
8
0
0
0
16
16
0
0
16
16
8
8
8
8
8
8
8
0
0
16
4
16
0
4
0
8
9
9
9
9
0
0
1
4
4
4
8
4
8
0
4
8
8
2
0
0
0
0
0
1
0
0
0
16
0
16
4
0
0
8
0
0
0
0
1
0
0
8
8
8
0
0
20
1
6
2
2
0
8
8
8
8
0
8
8
0
0
0
20
0
1
8
0
0
2
0
8
0
0
17
1
1
1
4
8
0
8
0
1
0
0
16
16
16
6
8
8
8
8
8
0
8
8
1
1
1
1
1
1
4
4
0
0
0
5
16
0
0
0
16
16
0
0
1
1
16
16
16
16
0
16
16
16
16
16
4
0
0
20
8
0
0
0
0
0
24
0
0
0
8
0
0
0
0
16
0
4
0
0
16
16
8
20
16
0
0
0
0
0
18
18
0
0
0
0
4
4
4
16
16
16
16
16
16
16
16
16
17
0
4
0
0
0
0
0
0
0
16
2
0
2
12
8
8
0
17
17
0
0
8
8
0
16
16
0
16
0
8
8
8
0
8
12
12
12
16
32
22
22
0
0
0
0
0
0
0
0
0
0
0
0
16
8
36
8
1
0
0
0
1
1
8
8
0
0
8
8
8
16
0
0
16
16
0
8
8
0
9
0
0
0
16
16
16
2
8
8
0
0
0
0
8
8
16
8
8
8
8
8
4
26
0
0
0
16
8
8
0
0
0
2
0
0
0
0
0
0
0
1
0
0
26
26
0
0
8
0
0
0
0
24
0
0
0
0
0
0
0
0
40
40
40
8
4
0
16
20
0
0
0
0
18
1
0
0
0
0
4
8
0
0
0
0
0
0
2
2
0
16
8
8
20
0
0
4
0
17
17
16
16
16
0
16
8
0
16
0
4
4
4
4
32
0
0
8
4
8
8
8
23
0
8
8
8
0
16
0
0
0
16
16
1
1
24
0
0
0
0
0
0
1
1
4
0
0
0
0
0
0
18
16
9
16
0
0
0
0
0
1
4
4
4
4
0
0
0
16
16
8
2
0
16
0
32
0
0
0
0
0
8
8
8
8
8
1
1
0
16
16
1
1
0
0
0
0
4
4
8
8
4
0
0
0
0
16
0
0
0
16
0
40
0
0
0
8
8
0
0
0
0
4
28
2
0
0
0
0
16
0
0
0
0
0
0
2
0
16
8
4
24
0
0
0
0
0
4
8
0
0
8
8
1
1
4
0
12
24
24
24
0
22
22
4
0
1
1
1
8
17
16
16
16
16
16
16
1
32
32
8
4
0
8
8
1
1
2
5
0
0
0
16
0
36
36
36
0
0
8
4
4
0
8
0
12
4
0
0
8
6
0
2
0
32
32
16
8
0
0
16
0
0
16
0
0
16
8
22
8
8
0
8
8
8
8
34
0
8
0
0
0
8
24
24
0
0
9
4
4
0
1
1
0
0
0
0
0
1
8
8
8
8
8
8
1
1
20
0
1
0
8
16
16
18
0
8
0
0
6
0
0
0
0
0
0
0
0
0
0
0
8
0
0
8
8
8
0
0
0
2
0
0
0
0
8
0
0
8
2
2
0
0
8
16
16
4
4
32
0
8
0
16
12
8
8
16
0
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
20
16
8
1
8
16
8
8
2
1
1
16
16
0
0
0
16
0
0
0
0
16
0
0
0
0
0
0
0
0
8
8
8
16
0
25
16
16
18
1
1
0
0
0
0
0
0
0
4
4
8
20
0
0
2
8
0
0
4
4
4
4
4
0
0
0
0
0
16
0
8
4
0
0
0
4
8
0
0
32
0
1
0
0
4
4
2
0
0
16
0
8
8
8
0
0
0
8
4
0
0
0
0
0
16
1
0
0
0
24
16
16
16
0
0
0
0
0
0
24
0
0
0
0
0
0
16
8
0
16
16
16
16
21
0
0
0
2
0
2
2
16
9
9
8
16
0
16
8
1
1
16
20
16
2
0
1
0
8
0
0
4
4
32
0
0
2
0
0
8
16
16
16
4
0
16
8
4
0
0
8
0
0
0
0
8
0
0
16
4
4
8
8
4
8
8
8
28
28
28
0
0
1
0
0
22
0
0
1
0
0
2
0
4
8
0
1
2
35
35
0
0
0
0
8
16
0
0
2
2
2
16
4
0
0
8
16
0
0
0
0
1
0
8
8
8
8
8
0
0
0
0
0
24
24
0
0
16
3
16
16
16
0
2
10
2
0
3
16
16
16
4
4
8
0
8
18
18
18
16
0
16
8
14
32
32
0
8
8
8
16
0
0
8
0
16
0
16
0
8
0
0
0
0
0
4
16
0
12
12
0
0
8
8
1
1
1
1
0
0
1
8
0
12
22
22
4
4
16
16
0
0
2
0
0
0
1
0
0
0
0
0
0
0
32
32
32
32
0
9
49
8
16
0
8
0
2
2
0
0
0
16
16
16
16
1
0
0
0
16
1
1
1
1
0
8
8
0
0
0
0
8
0
16
8
20
0
0
0
0
0
0
8
8
0
0
0
0
8
8
4
4
13
13
0
16
2
5
5
5
8
0
24
24
8
0
0
0
0
17
17
17
16
16
0
16
0
0
0
0
8
0
8
32
0
4
4
4
4
0
8
8
16
16
16
24
24
16
0
17
0
8
0
8
0
0
0
0
0
0
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
7
33
0
0
8
8
0
0
0
0
8
8
8
8
8
16
0
8
8
8
0
0
0
32
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
6
1
0
6
8
0
0
0
0
16
2
0
0
0
0
0
0
16
16
16
0
0
0
8
2
1
8
8
8
8
32
57
0
0
0
0
0
32
4
16
16
0
0
16
0
0
0
0
0
8
16
16
16
0
0
0
0
8
16
16
8
0
18
0
8
0
2
2
2
0
16
8
8
0
0
4
13
13
13
13
0
17
0
0
0
8
0
2
2
2
16
4
4
1
0
0
2
0
8
32
32
32
0
0
0
8
8
8
8
8
8
8
8
8
4
0
20
20
20
0
0
0
0
0
0
0
0
8
2
1
2
2
2
16
0
0
0
0
16
1
2
8
8
0
0
0
1
1
1
0
1
32
32
32
0
2
2
0
8
8
0
8
0
0
20
20
0
0
0
0
0
0
1
2
0
24
0
2
4
8
8
8
0
0
0
8
8
16
0
0
16
28
17
0
16
8
0
48
4
0
0
16
16
1
1
1
1
0
0
16
0
4
0
8
8
16
16
16
0
41
41
41
0
0
0
8
0
0
0
0
8
8
4
8
0
8
8
8
8
8
0
16
16
16
8
8
0
0
0
0
0
0
0
1
0
0
4
4
0
0
1
1
16
16
1
0
0
16
0
0
16
16
0
48
48
0
0
0
0
0
0
0
0
0
2
0
16
16
16
16
16
8
8
0
0
2
0
32
4
4
17
0
0
8
0
8
12
16
0
0
0
0
0
0
0
16
3
1
5
5
0
0
0
0
0
16
18
0
8
0
0
0
8
8
0
0
0
8
0
0
16
16
8
0
0
0
16
30
17
17
0
0
1
1
0
0
8
8
8
1
0
4
4
0
16
0
8
8
0
0
4
0
8
8
8
16
0
0
0
0
1
1
16
0
0
0
0
0
2
0
0
0
16
16
16
16
0
0
32
16
16
4
0
0
16
16
16
2
0
16
16
0
8
16
2
6
6
4
0
0
8
0
16
8
8
4
4
4
8
16
16
0
0
48
48
2
2
8
0
16
16
16
16
8
16
16
0
0
16
16
8
8
0
16
16
0
4
0
4
4
0
8
0
1
0
8
8
16
2
16
16
0
0
0
0
8
16
16
0
0
16
16
0
0
0
8
8
1
2
2
2
0
1
1
0
0
18
8
0
8
8
45
0
0
4
4
0
0
0
0
4
16
0
0
8
16
2
2
2
0
1
0
0
0
0
0
12
0
0
0
0
13
13
0
0
0
0
0
4
16
20
16
0
0
0
16
16
8
0
0
32
2
0
8
0
0
16
8
8
0
0
0
0
16
16
3
1
0
0
12
48
2
0
0
0
8
2
8
18
2
2
8
0
0
8
8
8
8
6
6
0
0
16
0
0
0
0
0
16
0
16
0
16
16
2
2
8
8
8
0
0
16
16
0
4
0
0
17
17
0
4
4
0
8
8
8
0
0
0
0
0
0
0
0
2
2
2
2
16
16
0
0
1
1
1
0
0
0
2
2
2
2
24
16
8
8
0
8
0
8
0
8
8
0
2
16
0
0
16
0
16
8
0
16
0
0
0
0
16
0
24
0
0
16
16
8
18
16
40
0
0
8
0
1
0
4
8
24
24
16
16
16
16
8
8
8
0
0
8
0
0
0
0
0
4
4
16
16
4
4
0
0
0
0
0
0
0
0
4
0
0
8
0
16
24
0
0
0
0
0
24
4
0
25
25
1
1
1
0
16
16
16
16
16
8
0
0
0
0
0
8
0
1
0
0
0
8
0
4
0
0
8
8
8
4
8
4
4
0
1
1
1
0
8
0
21
16
0
0
2
0
0
0
0
4
28
0
0
0
16
0
8
8
0
8
0
0
0
16
16
16
40
8
24
8
0
0
0
7
8
8
4
8
0
16
4
4
8
8
8
0
8
8
8
8
1
1
8
8
16
16
16
16
0
0
0
1
16
0
8
8
8
1
1
2
8
0
17
0
0
0
0
0
0
0
16
8
0
8
0
0
16
8
0
0
1
1
0
8
16
0
0
24
0
24
16
16
16
0
8
0
0
0
0
5
8
0
0
0
0
0
40
40
8
0
2
0
8
0
0
0
0
0
0
0
0
16
16
0
12
8
16
16
8
0
16
16
0
24
0
0
4
0
0
0
0
0
8
8
8
2
2
52
4
16
0
0
0
16
8
8
8
0
0
0
0
0
16
16
16
0
0
17
16
0
4
8
8
8
8
2
2
16
56
8
8
8
8
8
0
0
8
2
0
0
16
0
2
17
17
0
8
16
16
8
0
8
0
0
8
16
16
32
2
8
16
0
0
0
0
16
0
4
4
2
0
8
8
26
0
48
48
32
12
12
0
10
0
0
8
0
0
16
16
8
1
1
0
2
2
0
0
16
16
16
0
8
0
8
0
0
0
0
12
8
8
0
8
1
1
1
0
0
1
4
0
0
0
0
4
8
8
8
16
8
0
8
8
20
0
0
0
51
51
0
0
0
0
0
8
1
0
0
4
4
4
4
0
0
0
0
0
0
0
0
0
0
16
16
20
8
8
0
0
0
0
2
2
2
16
0
0
16
16
0
0
0
9
16
8
0
0
0
0
0
0
16
1
24
8
16
0
8
4
8
0
4
4
4
0
0
0
0
0
0
0
1
16
16
16
16
16
8
1
1
0
2
32
32
32
25
25
16
0
0
0
16
8
16
20
8
8
4
12
8
8
0
16
16
16
8
8
8
0
8
8
8
0
0
8
0
0
8
0
0
0
0
0
4
0
25
0
0
0
0
0
22
16
16
16
0
8
8
8
24
24
4
4
2
2
2
48
2
2
4
0
0
0
0
8
8
16
0
18
5
0
0
0
0
0
8
8
8
0
0
4
20
0
2
0
0
8
8
8
0
16
16
8
2
0
0
16
2
2
0
0
0
0
0
0
0
0
0
0
20
4
0
0
2
8
16
8
0
0
0
0
0
0
0
0
32
32
16
16
0
0
0
0
0
8
8
0
0
0
0
3
0
8
0
0
0
0
0
0
16
16
0
0
22
0
0
0
2
2
0
8
8
16
2
16
0
8
8
0
8
16
16
4
16
8
16
0
1
10
4
17
16
8
2
0
0
0
8
4
0
0
0
16
32
0
3
32
32
32
0
0
0
0
8
8
0
16
4
8
8
0
16
8
8
0
0
16
16
16
0
32
4
4
4
0
0
8
0
8
16
8
0
32
0
0
16
0
0
4
32
32
32
8
0
0
0
0
10
24
4
4
0
0
8
8
0
0
8
8
8
0
8
0
2
4
4
4
4
4
0
0
8
8
0
0
0
4
8
0
16
0
0
8
16
16
0
0
0
16
16
0
0
0
8
8
0
0
0
16
16
16
16
0
0
0
16
16
24
24
16
16
4
0
0
0
0
0
0
0
0
0
0
0
4
4
0
0
0
0
0
0
0
0
0
0
0
5
5
8
8
0
8
8
0
8
8
16
16
16
6
6
4
12
16
16
16
16
16
0
16
16
16
0
8
8
8
8
17
1
16
16
0
16
9
2
2
1
1
16
0
0
0
0
8
0
0
0
0
8
0
8
8
8
8
2
2
18
8
2
8
0
0
1
16
0
0
8
16
4
4
0
0
8
0
1
1
9
24
0
0
0
0
0
16
16
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
8
8
8
0
16
24
24
6
0
0
0
0
0
0
2
2
2
2
0
0
0
0
0
0
16
16
16
4
4
4
0
8
8
0
9
41
0
0
0
0
16
16
0
0
0
8
8
8
8
0
4
4
4
0
8
8
4
16
0
0
0
8
8
2
2
2
0
0
0
0
8
8
8
16
0
0
10
0
0
4
4
16
16
0
0
16
0
16
8
8
16
0
0
0
4
4
0
0
8
8
8
24
4
4
0
0
0
0
0
0
0
0
0
52
16
8
0
12
0
0
0
0
0
0
0
0
0
6
6
32
0
16
16
2
2
2
4
1
0
0
0
0
4
4
8
1
0
0
0
8
8
0
0
2
2
1
4
0
0
0
0
0
4
4
4
4
4
4
20
16
16
0
0
16
16
16
20
0
0
0
0
0
0
0
24
0
2
8
8
8
1
9
9
9
17
17
3
32
61
0
0
0
1
1
1
1
8
4
4
4
0
0
0
0
2
0
0
0
12
12
0
0
40
40
18
16
16
5
16
16
0
8
16
0
0
16
16
0
0
0
32
32
16
16
0
8
8
16
12
16
4
4
0
0
0
0
10
10
8
8
0
0
0
0
0
2
10
0
0
0
0
0
0
0
0
0
16
16
32
32
0
4
0
2
0
0
0
1
0
0
0
8
0
2
0
12
4
0
9
0
2
2
2
2
8
8
0
2
4
4
0
0
0
0
0
16
16
1
8
14
0
8
12
16
16
16
0
8
0
1
0
8
0
0
0
16
16
16
0
8
0
16
16
8
0
0
0
0
0
8
1
16
16
16
8
17
17
57
8
0
0
0
0
1
0
2
20
16
16
0
26
26
0
0
16
4
4
4
0
24
0
8
10
6
0
0
2
0
8
4
0
0
8
8
0
0
9
9
8
8
4
8
8
0
1
0
0
4
0
16
16
16
0
0
0
0
8
8
0
0
8
0
4
8
8
8
8
8
8
4
0
8
8
8
0
0
0
16
0
0
8
0
0
0
0
1
2
8
8
4
0
0
0
0
0
0
8
8
0
0
0
0
0
2
0
16
17
17
17
0
0
0
8
8
8
8
8
4
4
4
0
32
8
24
24
0
2
16
4
0
0
0
0
4
0
0
1
8
16
0
16
2
2
0
0
0
0
0
0
2
2
2
4
4
4
23
24
8
16
8
8
8
8
0
12
0
0
16
0
0
8
8
8
8
2
2
0
8
0
16
16
16
1
2
8
9
16
16
0
8
0
16
4
0
0
0
8
4
8
0
20
20
0
0
0
27
0
0
8
0
18
18
18
0
0
8
0
0
0
16
16
0
4
4
0
0
0
24
24
24
1
0
0
0
8
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
4
32
4
0
0
24
4
3
3
0
0
0
8
8
8
7
7
0
0
0
4
4
0
8
8
0
0
18
16
0
8
8
4
8
0
1
8
0
2
24
24
24
2
2
2
48
48
4
4
4
4
16
0
8
8
16
8
0
0
22
17
16
16
0
8
8
8
0
0
0
0
0
0
0
0
1
0
0
0
0
1
16
0
0
0
0
0
0
0
0
0
0
0
8
36
36
36
8
4
0
24
4
16
16
0
0
8
0
8
8
16
16
8
8
8
8
8
8
8
0
16
2
16
16
12
8
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
2
8
0
0
0
1
0
0
0
0
0
0
0
4
16
16
1
0
32
0
0
0
0
2
0
0
8
8
8
8
8
8
8
8
0
0
0
0
0
0
0
0
0
16
16
16
0
8
16
0
1
0
0
0
0
0
8
1
0
0
8
8
8
8
0
16
1
8
8
0
0
8
8
8
24
24
24
10
16
16
0
16
0
0
3
3
4
4
0
0
16
16
16
16
16
0
0
0
0
0
0
0
0
1
16
0
0
0
0
16
16
16
0
0
0
8
8
8
0
0
4
16
16
16
0
0
0
8
8
0
0
8
0
0
1
0
0
8
8
0
0
0
0
0
2
2
2
2
0
16
16
16
0
0
0
0
0
4
8
32
0
0
0
2
8
8
24
8
8
8
16
16
16
16
16
16
8
8
8
8
3
8
0
8
8
0
0
0
0
0
0
0
0
0
9
0
0
16
0
0
0
57
24
16
0
32
0
0
8
0
0
0
10
10
0
0
0
0
0
0
8
8
0
16
16
16
16
0
0
0
0
8
16
0
4
0
0
0
4
8
8
8
1
8
8
12
20
16
16
0
0
0
0
0
0
0
0
17
8
0
0
8
32
32
32
8
8
8
0
20
20
20
20
0
0
0
0
0
16
8
8
8
8
8
8
16
16
16
16
4
0
0
0
8
0
0
0
0
0
8
4
4
8
0
0
8
0
16
4
0
8
8
16
0
0
8
0
16
0
0
0
8
8
4
8
8
8
8
16
0
0
8
8
8
4
0
8
0
0
0
0
6
18
0
0
8
8
2
33
8
8
8
8
8
1
4
16
24
8
1
9
0
0
16
4
0
0
4
4
0
0
0
0
0
0
1
0
0
0
0
16
16
0
20
32
32
4
4
4
16
0
0
0
0
0
0
0
16
16
16
0
8
0
9
16
16
0
0
0
0
0
0
2
32
26
0
0
0
0
4
4
4
4
8
8
0
0
0
0
0
0
0
20
20
8
61
61
61
0
1
8
5
2
2
8
8
0
16
16
0
0
0
1
0
2
18
5
32
8
2
16
8
0
16
0
8
0
0
16
16
0
0
0
0
37
37
37
37
37
37
0
8
16
1
1
0
16
16
0
8
0
0
0
0
0
0
1
0
0
8
5
5
5
8
8
4
0
0
0
6
0
16
16
0
8
4
1
16
0
0
0
0
0
0
16
16
0
0
8
8
8
8
8
16
0
16
16
8
8
8
8
16
4
1
16
16
16
16
0
8
8
8
0
0
0
0
0
0
0
16
16
24
8
0
0
8
16
2
32
9
0
0
0
0
0
0
16
0
4
4
4
8
1
8
8
9
4
0
0
0
0
0
0
0
4
8
32
12
0
4
0
0
0
0
0
0
2
2
0
0
16
4
0
9
16
0
0
0
8
40
1
0
0
0
16
16
0
0
0
0
16
8
8
0
0
8
0
0
0
0
16
16
0
1
0
16
16
16
24
24
24
24
6
8
8
8
8
40
42
16
9
0
16
40
40
40
8
8
16
16
16
0
40
0
0
0
0
40
1
16
16
0
0
16
4
0
0
8
8
0
4
4
4
4
4
4
1
20
20
8
8
0
8
8
8
0
8
8
8
8
0
2
20
16
17
12
16
16
16
0
8
1
16
16
0
0
0
0
0
0
0
0
0
0
12
12
0
0
0
0
0
0
0
4
0
0
0
0
0
4
4
1
0
0
0
0
0
0
0
16
0
0
4
4
4
41
0
0
8
0
16
2
8
0
0
8
8
44
0
0
0
0
0
0
16
16
0
1
2
2
18
0
0
4
4
4
4
8
0
0
8
0
16
8
4
0
0
0
0
0
0
0
0
16
0
8
8
0
10
0
0
16
8
8
16
8
8
4
0
0
6
16
0
51
25
8
0
0
0
5
0
8
16
0
0
0
0
0
0
8
8
8
0
0
0
0
0
8
8
0
32
0
0
0
0
0
0
0
0
24
24
0
0
0
0
0
24
0
16
10
8
8
33
33
33
33
0
0
0
8
8
8
8
16
1
1
1
8
8
0
0
8
2
0
0
0
0
22
4
2
17
0
0
0
4
9
9
9
4
16
16
15
16
32
0
1
0
0
0
2
4
0
0
8
8
6
5
2
2
2
2
8
0
8
8
8
0
0
20
16
16
16
0
16
0
16
16
8
0
0
0
20
0
3
3
18
0
0
8
8
7
8
2
4
8
8
2
2
0
0
8
0
8
8
8
8
8
6
0
0
8
0
0
0
8
0
8
8
0
0
8
8
0
0
20
8
0
16
16
16
16
27
27
16
4
4
4
1
0
1
0
0
8
2
2
2
2
0
0
0
8
0
0
0
4
4
0
0
0
0
8
0
32
8
8
0
0
0
0
0
16
16
0
0
0
2
2
2
8
8
1
1
0
0
8
8
8
8
4
4
4
2
16
16
16
0
0
0
0
1
1
16
16
16
8
8
32
16
0
30
16
1
1
0
0
0
8
8
0
4
0
1
1
16
24
6
4
0
0
8
8
0
0
0
0
0
0
0
1
44
44
0
0
8
8
8
0
0
0
0
0
16
0
1
1
8
0
24
16
16
16
0
8
8
8
16
16
0
16
16
0
0
1
8
0
8
8
8
17
16
16
8
17
17
16
0
8
0
16
0
16
16
0
0
0
16
8
0
0
22
22
22
22
22
22
8
8
8
0
0
0
16
0
8
0
0
0
1
1
1
0
0
0
2
2
24
16
0
0
0
0
16
1
28
4
4
0
0
10
0
16
0
8
0
0
0
0
32
8
8
0
0
0
0
16
0
8
16
0
0
16
3
16
16
16
0
8
0
2
0
4
4
0
33
0
0
8
4
0
0
0
0
16
16
16
0
16
0
0
8
1
1
0
0
0
0
1
16
16
0
0
0
0
8
0
0
0
0
0
1
1
0
0
1
2
2
8
16
16
4
16
1
1
2
0
2
2
23
8
17
16
0
1
1
1
1
8
24
24
0
8
8
16
16
16
4
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
8
8
2
8
8
8
8
0
16
16
16
0
0
0
0
0
0
0
6
32
4
33
8
8
16
0
4
0
0
0
0
0
0
0
0
32
32
0
0
4
4
4
4
4
4
4
4
8
8
17
4
8
8
9
1
8
8
0
16
0
0
0
0
0
0
2
16
0
17
17
8
16
16
0
0
0
16
16
0
0
25
1
1
1
0
8
8
8
0
0
0
0
0
0
24
16
8
0
16
16
16
16
0
8
8
0
1
8
0
8
8
0
0
26
8
8
8
12
16
0
0
8
4
4
0
0
0
0
6
2
16
16
16
0
8
0
16
16
0
8
18
4
0
0
0
0
0
3
8
0
0
8
8
4
4
4
0
8
0
0
6
6
0
0
0
8
0
0
0
16
16
16
16
8
8
4
4
4
4
0
8
8
8
4
16
16
16
2
8
8
8
0
8
8
0
0
0
0
0
20
20
20
20
20
0
0
24
0
16
8
8
8
16
0
20
8
8
0
16
2
16
16
16
16
0
0
0
0
0
0
0
16
0
0
0
24
32
0
0
0
0
0
0
12
12
8
16
16
16
0
0
0
48
48
0
0
34
0
8
2
8
8
8
8
8
8
0
12
0
0
0
0
24
0
0
0
0
8
1
16
16
32
8
16
0
0
0
0
0
0
0
0
0
4
0
8
0
1
1
1
2
2
8
8
8
8
0
0
0
38
22
1
16
0
16
16
0
0
0
8
21
0
0
16
0
16
0
0
24
0
0
0
0
17
0
0
8
16
28
25
0
8
0
0
0
22
0
24
0
24
9
0
49
49
4
48
48
48
48
48
48
48
48
48
48
48
48
48
8
4
4
0
0
0
0
8
8
0
1
16
16
24
24
0
0
8
16
16
8
0
0
0
4
4
4
0
0
0
5
0
0
0
2
0
0
1
0
0
0
0
0
0
16
16
16
16
2
2
2
1
0
0
8
8
16
0
0
8
8
12
8
0
0
22
8
8
11
0
0
32
32
0
0
3
0
18
16
0
0
0
0
0
0
0
0
8
8
8
1
16
16
16
4
0
0
0
0
0
0
0
8
1
0
1
16
8
8
8
8
0
0
0
27
27
0
0
0
0
16
8
8
2
0
0
0
0
0
18
18
8
12
12
12
42
0
16
4
40
33
0
0
7
7
0
42
42
16
0
16
0
0
0
2
5
16
0
8
8
0
8
8
8
0
0
0
0
0
32
0
0
0
0
8
8
8
2
16
0
2
0
0
18
18
0
0
2
0
0
4
6
4
4
1
1
0
16
16
0
8
16
4
4
4
4
4
4
4
0
0
0
8
8
0
16
16
24
0
0
13
13
13
6
1
1
6
40
8
16
0
0
8
1
8
8
0
0
0
0
0
1
2
0
8
0
0
0
0
8
8
8
0
0
0
0
8
16
16
8
0
20
0
0
32
32
2
16
0
0
0
0
4
2
2
0
0
0
0
8
8
0
2
8
0
0
0
0
0
0
0
0
16
0
0
20
8
8
24
0
0
0
0
0
0
0
2
0
16
0
0
0
0
0
0
0
0
8
0
0
16
8
0
0
0
8
0
2
0
18
16
16
8
8
8
1
4
0
0
0
1
8
22
22
8
0
8
8
0
4
4
8
8
16
16
0
1
8
29
0
0
0
0
0
48
0
18
8
0
8
2
2
2
0
0
0
0
0
0
0
0
0
0
4
8
8
8
4
16
16
0
0
0
0
0
0
1
0
0
8
8
8
8
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
4
16
16
0
32
16
0
0
1
8
8
8
8
8
8
4
4
8
0
8
0
0
18
8
32
8
10
24
0
4
35
16
9
9
9
2
2
0
0
1
0
0
4
4
8
8
40
14
14
8
1
0
16
16
0
0
42
42
34
0
0
0
0
0
8
0
0
0
0
0
0
1
16
0
16
16
0
8
8
4
4
16
32
32
32
4
0
0
0
0
8
0
0
0
0
0
0
0
32
20
4
4
4
4
0
0
0
0
16
16
0
0
24
0
0
0
0
0
0
0
8
8
8
8
0
0
0
0
0
0
0
0
0
24
24
18
18
8
1
0
0
8
0
8
8
16
4
4
16
8
0
0
0
0
0
0
0
0
0
16
16
16
8
0
0
0
0
0
0
16
8
20
20
0
8
0
0
0
0
0
0
0
0
1
1
1
1
1
0
24
24
1
1
1
1
0
0
16
16
0
0
0
1
1
1
0
0
0
2
4
1
1
1
9
0
4
0
0
0
8
1
1
1
1
1
1
12
16
29
8
8
0
0
0
8
0
8
16
4
4
4
12
16
0
0
0
0
8
18
18
0
0
0
8
8
8
8
0
8
24
8
8
0
32
0
0
8
8
8
8
0
9
0
0
0
16
0
0
16
8
8
8
0
0
0
0
0
16
16
16
0
2
2
2
18
18
0
8
24
24
0
0
16
2
0
8
0
0
4
4
0
16
0
0
16
16
16
16
0
32
8
0
8
4
4
0
0
0
0
0
0
0
0
0
0
0
0
32
40
0
8
0
0
0
8
0
16
16
4
4
2
16
8
8
16
16
0
0
16
0
4
0
0
0
24
8
1
1
0
0
16
16
8
33
0
20
0
0
0
0
0
12
1
1
16
16
16
16
16
0
4
4
16
0
22
8
8
1
0
0
0
0
0
16
16
0
0
0
0
8
16
4
8
0
8
8
16
16
16
16
0
0
0
16
16
0
0
4
4
4
4
0
0
16
8
0
0
2
2
0
16
8
8
8
8
5
0
16
16
16
16
16
1
8
16
0
2
2
16
16
16
25
25
0
8
8
0
0
0
0
0
8
8
8
4
4
8
8
8
26
2
8
0
4
0
8
16
16
0
16
0
0
0
0
4
0
17
2
16
0
0
8
16
0
0
18
8
8
8
16
16
8
8
0
4
24
4
0
24
0
0
0
8
8
4
0
18
18
8
0
0
0
0
0
0
0
8
0
1
16
16
0
16
16
8
8
0
0
0
8
8
0
0
16
8
18
16
16
16
16
0
0
0
28
4
0
2
1
2
2
8
16
16
16
16
16
8
8
0
32
1
1
0
16
16
16
16
2
0
8
8
0
4
4
4
4
4
16
16
8
8
0
0
4
4
8
8
0
0
8
2
16
16
16
1
0
0
0
1
1
8
0
0
0
1
0
34
16
0
8
0
0
24
8
0
0
8
8
8
8
8
4
50
8
8
0
0
0
16
0
8
8
12
2
0
0
0
2
2
0
0
34
0
8
0
0
0
16
0
0
2
2
0
0
0
4
0
0
17
1
0
33
8
4
0
0
0
0
12
0
2
0
0
16
8
0
0
0
1
16
0
0
0
0
16
2
1
4
16
0
0
0
16
16
40
40
4
4
0
0
0
4
0
4
20
0
0
32
32
0
41
0
8
19
0
0
4
8
0
0
0
2
16
16
0
0
0
8
0
0
16
0
16
1
1
0
16
0
0
16
0
16
0
0
0
8
8
8
0
8
8
16
0
0
0
0
0
2
2
2
32
32
0
0
0
16
16
0
0
8
8
0
0
4
4
8
5
32
8
16
16
16
8
4
13
0
0
0
0
36
8
9
0
0
0
0
0
8
8
8
8
16
40
0
0
8
8
16
17
1
8
0
0
0
0
0
0
0
8
0
0
0
1
8
0
8
0
4
4
4
0
56
0
0
0
0
0
8
8
1
4
4
4
1
16
0
0
0
0
0
0
0
8
8
0
4
4
0
0
0
4
0
0
0
0
0
8
16
8
22
22
8
8
2
4
0
4
4
4
4
16
1
4
0
0
0
0
1
1
8
8
0
0
0
0
0
0
4
0
8
8
8
4
0
0
0
0
0
16
8
0
4
2
16
0
16
16
16
1
2
8
0
0
16
16
16
0
0
4
4
0
0
0
0
35
35
0
16
0
8
8
16
0
8
9
8
8
8
8
8
16
16
16
4
0
16
0
0
27
0
0
21
21
0
0
0
16
8
8
8
0
0
8
8
0
57
57
57
57
16
16
16
0
0
2
8
56
0
2
2
19
0
0
8
0
0
8
48
0
0
8
8
0
0
0
16
16
20
22
22
22
22
22
22
22
22
32
0
0
1
1
24
24
0
0
8
8
2
8
0
0
0
0
16
0
0
8
0
0
8
0
8
0
0
0
16
16
16
48
48
48
48
0
32
32
0
8
16
16
16
8
0
0
16
0
16
16
16
8
4
16
16
8
0
0
0
8
8
8
16
0
0
16
16
16
16
8
0
0
0
16
0
16
0
0
16
0
8
8
8
0
8
8
8
4
0
16
0
1
0
0
8
0
0
6
8
0
16
16
0
0
8
32
0
2
2
16
0
1
0
0
8
4
8
0
0
0
4
4
4
0
4
4
4
4
0
0
0
16
16
4
4
8
4
0
0
9
18
18
16
8
8
2
2
2
2
8
8
10
10
10
1
1
1
0
16
16
16
16
4
4
8
8
8
8
8
8
0
32
32
32
32
32
1
22
16
16
16
0
16
0
0
0
0
1
24
24
24
33
32
16
4
0
0
8
16
17
0
0
0
0
0
0
0
0
0
24
16
0
0
0
8
0
0
1
1
0
0
8
8
8
8
0
4
4
8
8
0
16
16
8
0
16
1
8
32
32
16
3
1
1
1
1
1
1
40
40
16
16
2
2
8
8
16
8
8
8
0
16
16
16
16
16
16
0
0
0
0
0
0
1
1
0
8
13
8
0
2
2
2
2
2
16
0
0
0
16
16
16
16
16
16
16
0
0
9
0
0
0
0
16
0
1
16
20
20
8
16
16
16
8
0
0
0
8
16
16
16
0
8
8
8
0
0
24
16
16
0
0
8
8
0
0
2
0
0
16
16
16
2
1
1
4
8
0
8
32
7
8
16
16
8
0
4
0
0
8
0
0
0
1
2
2
0
16
8
0
0
8
0
2
2
2
0
16
8
0
0
1
0
0
8
8
16
0
0
8
8
0
16
16
16
16
16
8
0
0
0
0
0
0
8
8
8
8
0
8
8
8
0
0
16
16
16
1
1
8
8
8
16
0
0
0
0
0
8
8
8
1
3
4
16
0
0
0
0
0
0
0
1
0
8
56
4
0
44
4
16
0
0
0
0
8
32
10
10
10
10
2
2
2
2
8
8
17
17
8
32
32
17
8
4
4
4
16
0
8
0
0
33
4
2
0
0
8
0
0
0
0
0
16
16
8
0
0
0
8
8
2
2
2
2
2
2
2
16
0
16
8
8
2
2
0
1
1
0
0
8
0
0
0
1
0
16
0
0
0
0
0
16
0
0
1
8
40
40
2
0
8
8
8
2
0
0
0
8
8
4
4
1
1
4
4
4
8
0
16
16
0
12
12
0
0
16
0
0
0
0
1
16
16
0
0
2
0
16
16
0
0
1
0
0
0
0
8
4
0
8
8
8
0
0
0
38
28
2
2
2
5
0
0
0
17
8
8
0
2
0
16
0
0
8
40
40
0
0
0
0
0
16
8
0
0
0
0
0
0
16
8
0
16
16
16
0
0
0
2
40
0
8
8
0
0
17
24
8
16
16
16
6
0
0
8
8
8
8
8
16
0
24
24
8
8
1
1
1
1
0
0
0
12
8
0
8
16
8
1
3
3
3
8
0
0
0
4
4
4
8
16
1
0
0
8
0
16
4
4
16
2
1
0
16
16
8
8
32
0
0
0
0
8
1
1
8
9
8
32
8
0
8
8
0
32
32
8
0
0
0
8
8
8
8
8
8
8
8
0
0
0
0
8
8
1
1
16
8
0
0
1
16
0
8
16
16
8
0
6
6
0
0
32
0
24
8
8
0
0
8
0
0
0
0
0
32
0
0
28
0
40
16
48
20
8
20
0
16
16
8
8
8
8
0
24
8
16
16
16
0
0
1
1
1
8
0
0
0
0
18
18
0
8
8
0
0
32
0
0
0
0
0
0
0
0
0
1
1
16
0
20
20
4
16
8
8
0
0
0
4
0
16
16
16
0
4
8
8
8
8
8
8
0
32
8
8
24
24
0
0
0
0
0
0
16
16
16
16
16
24
0
0
3
0
0
0
0
0
0
0
0
0
17
8
8
0
0
0
16
16
1
16
16
0
0
0
8
8
0
12
13
13
17
22
22
8
8
0
0
0
0
0
0
16
16
8
0
4
16
57
57
0
0
0
0
0
0
0
13
13
8
8
8
0
0
0
0
1
16
16
32
10
0
16
1
1
0
8
8
4
0
0
0
0
0
8
8
8
0
16
0
0
32
32
0
32
32
2
16
0
0
4
4
1
0
0
0
0
0
0
0
25
24
0
0
0
8
8
2
0
0
0
8
8
0
0
12
0
16
16
16
0
0
0
0
4
4
24
0
0
16
48
2
62
8
8
16
0
0
0
0
0
16
16
17
16
2
2
2
2
56
56
56
10
0
0
0
28
28
8
16
4
4
0
0
0
20
8
8
8
8
0
0
16
0
4
4
0
0
0
0
0
0
1
24
16
20
4
0
0
8
8
8
8
8
16
16
16
16
0
0
0
0
0
0
0
0
16
0
0
0
0
4
8
16
1
0
8
8
4
0
24
0
0
0
16
16
0
1
1
4
8
0
24
0
0
2
56
20
8
16
16
20
0
1
1
1
8
8
0
0
0
0
4
9
9
2
16
24
0
0
61
61
0
0
0
24
0
10
10
16
4
0
0
8
40
40
16
4
0
0
4
4
8
8
8
8
0
0
0
0
0
0
24
4
4
16
16
32
1
1
1
8
0
0
0
4
10
10
0
0
8
0
8
8
8
0
0
16
0
0
8
8
8
0
0
0
0
8
0
0
0
8
8
28
0
8
0
22
22
1
8
0
0
0
0
0
8
32
8
16
8
2
2
8
16
16
16
16
16
0
0
0
0
0
0
0
0
1
1
1
0
0
0
0
16
16
8
8
8
1
16
8
0
0
0
0
0
16
0
0
0
0
0
0
2
8
8
8
8
8
8
8
8
8
0
0
16
8
0
0
0
0
8
8
16
0
0
16
2
2
2
2
0
0
0
0
0
0
0
0
0
8
16
16
16
16
16
0
0
0
0
0
0
16
16
8
1
0
8
8
16
8
16
0
0
0
0
16
16
16
16
0
8
0
0
0
0
0
4
8
33
4
4
1
16
16
0
0
20
8
8
8
8
8
0
1
1
8
8
0
8
0
0
0
0
16
16
16
16
0
0
0
8
2
2
16
16
16
8
16
16
8
0
16
0
0
0
0
8
8
16
8
4
8
8
2
16
0
16
0
0
0
8
16
8
8
0
8
8
0
33
0
0
4
4
0
8
2
2
0
0
0
8
16
16
8
0
2
2
2
0
0
1
1
1
1
8
8
8
8
8
0
0
8
8
0
16
1
0
9
9
0
1
4
4
4
4
20
20
0
0
16
0
4
16
16
16
16
16
16
4
4
4
16
0
0
0
0
8
0
24
8
8
8
16
16
16
2
8
16
16
16
8
8
8
8
0
0
0
4
16
8
16
8
8
1
11
8
8
0
0
20
8
4
4
4
0
0
16
7
7
7
3
4
1
0
0
0
0
0
8
9
8
8
0
0
16
4
8
8
0
8
0
0
8
8
16
0
0
4
0
16
0
0
0
0
0
0
0
0
0
8
24
8
0
0
16
0
4
4
2
2
4
12
0
0
16
0
8
0
25
0
8
8
8
2
2
2
4
0
33
33
33
33
0
1
1
0
0
0
1
1
0
8
8
8
0
0
0
0
0
0
57
57
0
16
16
0
0
0
0
0
0
16
16
0
0
1
8
16
16
16
0
0
12
12
12
0
16
0
0
16
4
8
8
8
0
8
8
8
8
8
1
1
0
0
0
4
16
0
0
0
24
12
8
4
4
4
4
4
4
4
16
26
0
0
4
1
0
0
0
0
8
8
0
0
0
2
0
0
0
8
8
8
8
0
0
0
2
2
0
0
8
32
0
0
0
0
0
4
4
8
8
21
4
16
16
8
4
0
5
0
0
0
0
0
0
0
0
0
0
8
8
8
4
4
4
0
16
8
1
0
0
0
8
8
8
8
8
0
0
8
18
2
2
2
2
0
16
1
8
7
0
0
0
0
1
8
0
56
0
48
16
16
4
0
0
0
0
8
16
16
16
16
16
16
16
16
16
16
1
1
0
0
32
32
4
4
1
2
2
2
8
16
8
0
0
18
18
0
4
4
0
16
16
18
8
0
0
0
8
8
8
8
24
24
24
16
16
0
0
16
16
16
16
18
18
0
0
1
1
0
0
0
0
0
0
16
16
0
16
16
16
0
0
8
0
0
16
8
0
0
0
0
0
0
16
16
16
8
8
2
2
2
0
8
1
19
19
0
16
16
16
16
16
16
16
16
16
9
0
24
24
0
0
8
8
0
0
0
16
24
16
4
0
32
0
0
8
16
8
17
8
8
16
16
16
10
0
0
4
4
4
2
0
8
0
8
16
32
0
0
2
16
16
0
24
4
2
0
41
0
20
16
16
1
1
0
0
0
0
0
4
0
17
16
0
16
0
8
1
1
0
0
16
16
0
8
18
18
16
16
1
1
0
0
2
2
4
4
4
4
0
0
0
0
0
0
0
0
0
8
0
2
8
0
0
0
8
0
0
0
0
42
42
0
0
0
0
0
16
16
18
0
8
2
16
16
16
10
2
0
0
16
0
0
8
8
8
8
8
0
0
0
0
0
16
0
0
0
0
0
0
16
0
0
0
16
16
8
0
0
0
20
20
20
20
20
20
0
4
0
0
0
0
4
8
8
8
20
20
32
1
1
11
2
4
4
4
4
8
8
0
0
0
0
0
0
24
8
4
2
8
8
0
16
16
16
8
0
0
8
0
0
1
8
0
0
16
0
1
16
16
16
8
8
8
8
0
0
0
0
0
0
8
0
16
16
16
16
8
4
4
4
8
8
8
8
8
8
8
0
8
0
0
0
6
2
4
0
8
8
0
2
2
8
24
4
8
24
24
0
9
8
8
0
0
0
0
0
0
0
8
8
0
16
0
0
16
0
0
0
0
0
0
12
12
0
12
8
8
2
2
8
8
0
0
8
8
0
0
1
0
8
8
0
2
8
16
16
0
26
0
0
0
0
33
0
0
2
2
2
2
2
2
16
0
8
0
0
0
8
0
0
0
8
8
0
8
8
8
8
16
2
8
8
0
16
16
8
0
8
8
8
0
0
0
0
4
0
13
13
16
17
1
1
1
16
16
2
2
2
2
2
12
4
4
8
8
8
8
0
0
8
16
24
0
0
0
16
0
0
4
0
0
10
16
16
0
0
0
8
2
18
2
2
0
8
8
16
8
8
8
16
4
8
12
4
0
0
0
16
8
8
8
8
16
2
2
1
16
16
16
16
16
1
0
0
0
8
8
0
16
2
2
16
0
9
0
0
0
0
0
0
8
1
0
8
8
12
12
8
0
0
0
32
32
32
8
16
16
16
12
12
8
8
8
0
8
8
0
1
1
1
1
1
16
0
6
24
0
0
8
8
8
62
30
0
8
0
0
0
16
16
16
8
1
0
8
5
24
24
24
0
0
16
4
4
8
8
8
8
16
16
16
0
8
8
20
8
0
0
16
2
0
8
0
0
24
8
8
0
0
0
0
0
8
8
12
16
0
0
8
0
16
16
16
16
0
0
58
58
8
8
24
4
4
8
0
0
32
32
0
53
0
0
8
16
24
16
16
16
0
16
0
0
0
1
1
1
16
16
2
0
0
4
4
4
4
28
32
0
8
37
8
8
4
1
8
8
0
16
2
2
0
4
8
0
0
0
0
0
0
19
0
0
0
0
0
0
0
2
2
40
0
4
4
4
17
17
17
8
8
4
0
0
0
0
0
0
0
0
0
12
12
4
4
16
16
16
16
16
16
8
8
8
8
8
8
0
0
0
0
8
0
8
8
16
16
0
0
0
8
0
0
1
1
1
0
0
8
2
0
8
16
0
0
16
16
9
16
0
0
8
8
8
8
8
16
0
1
1
4
8
2
2
2
2
48
0
9
10
10
8
8
0
16
32
0
0
0
0
0
8
0
0
8
8
8
16
16
16
16
24
8
8
8
8
8
8
24
0
0
0
0
0
0
0
0
0
8
8
8
8
16
0
16
28
28
16
16
0
0
0
0
0
0
33
33
33
8
8
0
0
0
0
0
16
16
2
0
0
8
0
0
16
56
1
16
16
8
9
9
9
17
8
8
8
16
16
0
0
20
0
16
1
1
1
0
8
0
8
8
0
0
0
0
7
4
16
16
0
8
48
52
52
0
8
0
24
0
0
0
0
2
0
0
8
8
16
8
8
16
16
0
0
16
16
20
20
20
20
8
8
0
0
48
48
0
0
0
0
0
4
8
16
8
8
8
8
2
1
24
24
4
4
4
0
9
9
16
16
0
0
8
8
0
0
0
0
16
16
4
4
0
0
0
17
48
16
16
0
0
0
0
0
0
0
16
0
4
8
8
0
0
0
2
8
0
8
16
16
16
0
16
2
2
2
8
20
24
16
16
24
2
0
0
0
32
32
0
8
32
0
8
16
16
3
8
8
9
8
8
16
0
0
0
4
8
8
0
16
16
16
0
0
0
8
8
0
16
0
0
4
4
4
12
12
0
32
4
4
4
35
4
9
9
9
0
0
0
8
8
0
0
0
0
16
16
0
24
16
0
0
0
16
0
0
0
0
1
1
0
4
20
8
8
8
0
0
2
0
0
0
0
0
0
0
8
32
8
8
0
0
8
0
8
8
8
8
8
32
32
40
4
4
4
4
4
0
1
1
16
16
0
16
16
1
0
0
8
8
8
49
20
16
0
16
0
0
0
0
1
1
2
3
0
0
33
4
0
0
0
0
0
1
1
0
0
0
16
1
1
17
17
17
17
0
16
1
16
0
0
8
8
0
0
0
0
8
0
8
2
2
8
8
24
24
1
18
18
0
16
8
0
0
0
0
0
0
0
9
3
0
16
16
16
0
2
6
2
0
0
8
8
0
8
4
4
32
8
0
0
8
8
0
0
16
8
0
2
2
0
16
8
0
0
0
0
4
8
8
8
0
0
0
3
3
8
24
4
16
0
8
52
0
0
16
0
0
0
0
0
8
8
8
0
8
1
0
4
4
4
0
16
16
0
0
16
0
0
24
4
4
8
8
0
29
29
0
0
0
0
0
0
4
16
0
0
16
16
0
0
1
8
8
8
8
8
42
4
4
0
0
0
0
0
0
0
11
11
11
11
11
11
0
32
16
0
24
16
0
32
0
0
0
8
0
8
8
8
17
17
8
4
0
0
0
1
1
1
0
0
0
0
8
8
8
4
4
16
4
0
0
0
8
2
2
8
0
8
16
16
32
8
8
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
2
16
0
8
0
0
17
20
2
2
0
0
0
0
0
0
0
8
8
0
0
0
0
16
16
16
16
16
0
0
0
0
0
8
2
2
2
42
0
0
16
0
0
0
0
28
28
4
4
4
4
7
4
4
0
2
2
2
2
2
16
16
16
16
16
6
0
0
16
40
16
0
0
4
8
8
0
16
16
16
24
8
0
0
8
8
2
8
8
8
8
0
8
0
16
2
2
1
16
0
4
4
4
0
5
8
0
0
0
0
24
8
0
0
8
23
16
0
0
0
20
32
8
16
0
8
0
4
4
8
8
0
0
0
0
0
16
16
16
16
32
2
2
2
2
0
0
0
1
1
18
18
18
0
1
0
0
0
0
18
18
18
18
16
17
0
0
0
0
4
8
8
8
8
20
20
20
0
0
0
0
0
0
0
4
4
0
8
8
0
8
8
8
8
2
0
0
0
0
16
16
16
0
16
16
16
8
0
0
0
0
0
0
0
0
0
16
8
8
8
16
4
4
4
8
0
0
0
4
0
16
18
16
16
0
0
0
0
0
16
8
8
16
0
1
8
16
0
2
2
2
16
0
0
0
17
0
0
0
0
0
33
0
8
8
8
8
8
0
0
0
8
16
32
8
0
0
8
8
8
38
0
8
16
16
42
42
4
4
1
1
1
1
1
0
1
8
0
0
0
0
0
0
0
2
0
0
0
8
0
0
1
1
2
8
16
16
16
16
0
25
0
0
0
0
8
0
0
0
0
0
16
16
6
6
0
0
0
0
8
8
8
0
0
0
0
2
8
8
8
16
4
0
0
0
0
0
8
8
8
12
0
8
0
0
0
0
16
16
16
2
4
4
28
28
16
16
0
0
0
8
8
24
24
24
0
8
0
0
0
0
0
0
8
8
2
1
1
1
1
8
0
0
16
8
0
0
4
3
8
8
0
32
32
8
8
16
16
16
0
0
0
16
0
4
4
16
16
0
0
8
32
0
4
0
16
0
8
0
25
25
40
0
0
2
2
16
8
0
16
16
0
1
0
0
8
8
0
0
0
0
16
0
24
8
8
2
16
0
0
0
24
24
8
8
8
8
0
0
0
0
0
0
32
8
8
0
0
0
48
48
12
4
4
2
0
0
4
8
0
0
16
0
0
16
1
0
32
8
1
16
16
16
0
0
0
0
16
16
16
0
0
0
0
8
8
0
0
0
0
0
0
16
1
1
0
0
4
4
2
0
4
4
4
20
8
0
0
0
0
0
0
24
0
16
2
2
0
16
8
0
0
16
20
20
20
8
0
0
8
8
1
16
16
0
0
0
16
0
0
0
0
24
24
24
16
8
18
18
18
8
0
0
8
16
16
16
16
16
16
16
16
16
0
0
0
0
8
8
49
0
0
2
0
8
8
0
0
26
0
0
16
16
16
16
0
8
16
16
8
8
0
8
8
8
16
0
8
0
0
1
1
8
8
8
0
16
16
8
8
8
8
0
32
8
8
0
0
0
24
0
8
0
8
8
8
16
0
16
16
0
0
16
16
0
0
0
0
2
4
4
4
0
8
32
4
8
0
0
0
0
0
0
0
0
2
0
8
5
0
8
8
8
8
2
16
16
16
16
16
16
2
8
8
8
1
0
0
0
2
0
16
0
0
0
0
0
0
0
0
0
0
19
0
24
8
0
0
0
0
0
0
0
24
0
0
56
56
4
8
20
20
20
0
8
8
8
8
8
0
1
0
8
8
8
8
8
0
0
0
16
16
0
8
8
8
8
8
0
16
32
8
0
0
0
0
32
0
8
1
16
0
0
0
57
16
16
0
16
0
0
0
0
24
24
24
24
8
0
0
0
0
0
0
0
32
32
0
0
16
0
0
0
0
0
0
1
1
0
0
0
0
0
16
16
16
0
0
2
32
0
1
0
0
8
8
0
0
2
0
0
0
0
0
8
8
8
8
0
0
25
8
0
0
16
16
24
0
0
0
0
0
0
16
8
8
18
18
18
32
32
16
8
8
2
48
0
24
24
0
0
12
12
12
4
0
0
0
0
0
0
0
0
4
0
0
0
0
0
2
16
16
16
0
16
16
16
0
8
8
0
0
0
0
4
4
0
0
0
0
0
0
1
16
16
4
4
0
0
4
4
8
0
0
0
0
36
0
16
16
16
0
0
0
0
8
24
24
16
1
16
0
0
0
8
8
8
4
8
0
8
0
0
0
0
0
48
9
32
4
0
0
0
1
1
1
0
0
0
0
0
6
17
0
8
14
14
1
0
0
0
0
4
4
4
4
16
0
0
0
2
10
8
4
8
0
0
8
8
8
0
0
4
4
4
0
8
8
0
0
16
0
16
8
16
8
16
16
2
8
0
0
0
8
0
16
16
16
7
16
16
0
0
8
0
1
58
58
58
0
0
0
0
8
0
2
2
2
2
2
0
0
0
0
0
0
8
0
0
0
8
0
0
0
8
0
0
8
0
0
0
0
0
0
0
0
0
24
4
8
16
16
0
0
4
4
4
8
0
0
8
8
8
8
0
0
0
0
2
0
0
0
0
9
0
32
1
16
16
16
8
0
0
0
0
16
8
16
16
16
0
0
0
8
1
0
16
16
32
8
0
0
0
16
5
1
4
4
4
16
16
16
0
0
1
1
28
40
12
12
12
8
12
8
8
0
0
0
0
0
16
0
4
4
0
8
0
0
8
0
1
16
16
16
8
8
2
2
8
16
16
16
16
16
0
0
0
4
0
16
8
8
32
8
16
2
8
0
8
16
0
12
8
8
8
8
8
8
8
8
2
8
0
0
8
12
9
8
16
32
32
0
0
0
0
16
8
8
8
0
0
12
8
8
0
0
24
16
0
0
4
0
0
0
8
17
17
0
0
0
0
0
0
4
4
0
2
0
16
16
0
8
24
16
3
0
1
16
16
1
0
16
16
13
8
8
8
16
0
1
21
21
8
8
8
16
0
0
0
16
0
9
4
8
8
0
0
8
8
0
0
17
32
32
0
9
9
0
0
0
0
0
8
8
16
8
8
8
20
2
0
0
0
16
32
8
16
16
16
16
4
4
16
16
8
16
0
0
0
0
6
4
24
16
16
8
4
2
2
2
0
0
16
16
8
8
0
8
4
24
24
16
8
1
0
0
1
1
1
1
1
32
2
2
0
0
0
8
16
0
0
0
0
2
2
24
16
16
0
2
2
4
4
2
2
16
0
0
4
4
4
4
16
0
0
8
33
33
4
33
33
33
8
0
0
0
0
0
2
2
2
2
0
22
8
0
0
0
0
8
16
16
16
16
1
32
8
8
8
0
0
0
16
0
0
1
0
0
1
1
1
1
1
16
0
0
20
20
0
4
0
4
4
4
4
4
4
16
8
0
2
40
8
8
8
0
8
8
8
16
16
1
1
4
4
0
38
32
32
0
16
16
1
16
16
8
0
0
0
1
0
0
0
0
0
0
8
0
34
8
8
0
0
0
0
1
1
1
1
1
1
0
0
32
2
2
16
8
8
8
8
8
16
16
0
0
0
1
8
8
0
0
2
16
8
2
2
2
24
24
24
16
16
8
1
0
0
0
0
16
8
8
8
8
0
0
0
0
17
1
0
4
4
4
4
4
4
4
16
2
2
0
8
1
1
0
0
0
8
0
0
0
16
8
8
4
0
1
0
16
16
0
16
16
16
16
8
8
8
1
1
4
8
0
0
16
2
2
0
0
0
0
0
0
16
0
0
0
24
16
16
0
4
16
16
0
0
0
0
8
16
8
8
8
8
0
8
0
0
0
8
8
8
8
8
8
0
0
0
0
2
0
0
8
0
16
48
0
8
8
8
0
0
16
8
8
1
2
0
4
8
8
40
0
0
0
16
16
8
20
4
4
8
0
0
0
0
16
16
16
16
8
12
40
32
2
8
8
16
16
16
16
4
0
0
0
0
0
1
0
8
8
26
0
2
0
0
0
0
0
8
24
0
0
8
8
0
16
16
8
16
16
16
4
4
0
8
8
0
0
16
16
0
3
1
36
36
36
36
36
36
36
36
16
16
16
16
0
16
0
0
0
8
0
0
24
1
0
0
0
0
0
16
16
16
8
16
16
16
16
0
0
0
24
16
16
0
2
16
16
8
16
0
0
8
8
0
0
16
0
0
8
8
1
1
0
16
8
8
8
0
4
4
4
8
8
8
4
20
6
18
18
0
0
8
0
4
9
0
0
16
0
16
16
8
0
16
16
8
8
4
8
16
16
16
4
2
0
0
0
0
0
16
0
0
0
0
16
8
2
8
0
0
0
0
0
0
0
16
8
8
8
8
0
0
0
16
0
0
0
8
20
20
8
0
8
24
8
8
8
0
0
0
8
8
0
0
16
32
32
1
1
1
8
8
0
0
0
0
0
0
0
0
0
16
8
8
0
0
0
8
8
16
16
0
1
0
0
0
0
8
0
0
16
4
0
8
16
0
0
0
0
0
0
33
0
0
2
57
57
0
0
0
0
1
1
0
1
16
8
0
2
8
8
1
1
0
0
0
16
4
4
24
0
0
8
24
8
8
8
8
0
8
8
8
8
8
0
0
8
0
0
0
0
0
0
0
6
8
8
16
16
16
16
8
8
0
0
1
1
0
0
0
16
0
0
0
0
32
0
2
16
0
4
4
8
4
4
0
0
0
0
8
0
0
0
16
16
0
16
0
0
16
2
0
8
8
0
16
8
0
4
0
0
0
0
1
1
1
0
2
0
14
1
1
1
0
8
8
8
0
0
4
0
14
0
0
16
0
0
0
0
1
0
0
4
20
0
16
4
8
1
0
0
0
8
8
8
8
0
0
0
16
24
2
2
1
0
0
49
49
49
49
1
0
0
8
8
0
0
0
0
8
8
0
0
0
0
0
0
0
8
8
8
8
8
0
0
0
0
28
0
8
8
8
16
0
0
0
0
0
0
0
8
4
16
8
0
1
20
0
0
0
0
0
32
0
0
0
0
0
0
16
16
16
16
0
0
0
0
0
0
16
36
0
0
0
0
5
0
8
0
0
0
0
0
0
0
8
0
0
16
32
12
8
8
8
20
0
0
0
0
0
0
0
8
2
16
16
0
8
16
23
23
8
8
8
16
16
16
0
0
0
0
0
8
0
0
8
0
0
40
8
2
8
3
8
0
1
1
1
8
4
4
4
32
8
8
1
20
20
0
0
0
0
9
19
8
8
8
0
8
8
0
8
8
16
16
16
2
2
1
1
1
0
0
0
0
0
0
0
0
0
0
17
8
0
0
0
0
0
0
0
0
1
0
8
8
8
1
0
8
8
8
8
24
24
0
16
16
16
0
16
2
16
16
8
16
0
8
8
0
0
0
0
0
2
24
2
0
0
0
0
0
8
8
8
0
0
0
8
0
0
0
0
0
1
1
1
0
0
0
0
48
48
0
0
16
16
0
16
16
4
8
0
0
0
2
2
2
2
16
5
5
16
8
16
16
16
16
9
2
2
8
8
0
0
0
0
0
0
8
32
32
32
0
1
1
1
1
1
0
0
0
0
8
8
0
0
0
0
0
16
8
1
1
8
8
0
8
1
1
4
4
4
0
0
0
8
24
24
0
0
0
0
0
0
32
0
16
16
2
0
0
0
0
0
0
0
8
16
16
0
2
16
16
16
16
16
8
8
16
16
16
4
0
2
2
2
0
35
35
0
1
1
0
0
24
0
4
16
1
16
1
2
16
0
0
0
8
32
32
0
0
24
4
6
0
8
8
0
8
0
1
1
0
8
8
8
4
8
8
8
0
0
8
0
8
8
1
8
8
8
0
16
16
9
9
16
0
0
0
0
0
0
0
4
0
0
0
0
12
0
0
16
4
8
8
8
8
2
8
0
20
4
0
32
32
0
0
0
0
0
48
48
0
0
0
2
0
0
0
0
0
0
52
0
24
24
24
24
1
32
16
2
8
0
16
3
3
3
3
16
18
16
16
16
16
16
8
0
16
16
14
5
21
0
10
10
10
0
1
8
9
9
9
9
4
4
4
4
0
0
2
2
8
0
8
8
8
8
4
4
4
4
0
8
4
4
4
0
0
0
16
0
0
1
1
4
0
0
0
7
0
12
0
0
0
0
8
8
8
2
2
2
16
16
16
16
8
4
8
4
4
8
8
8
8
8
8
0
0
10
10
10
0
0
0
0
8
16
16
0
0
4
8
8
4
0
0
0
4
4
4
4
0
0
0
2
2
4
12
0
4
9
8
8
8
0
4
8
8
16
0
0
0
0
0
8
0
0
0
1
0
4
0
0
0
0
16
16
16
16
16
16
0
0
0
8
2
2
8
0
8
8
0
0
0
0
1
0
20
0
0
0
0
0
0
8
8
16
16
16
16
16
16
16
16
0
16
16
16
0
0
16
16
16
0
0
32
8
1
16
0
32
0
0
0
0
16
16
5
0
8
8
4
2
8
8
8
8
1
0
0
0
16
16
16
0
0
0
0
12
1
0
0
0
8
8
4
0
0
0
0
0
16
8
24
24
24
24
2
2
2
16
4
56
0
0
0
16
16
2
2
0
0
0
8
8
8
8
8
0
0
0
17
16
16
16
16
16
1
32
32
2
2
2
0
0
0
0
0
0
0
2
2
4
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
8
16
16
16
0
16
0
0
16
8
8
0
0
0
16
0
0
0
8
8
4
4
4
4
16
8
8
0
0
16
0
0
0
0
0
4
4
16
16
4
8
8
8
8
8
8
0
0
0
8
1
1
8
16
0
0
0
0
0
0
0
0
1
1
16
16
0
0
24
16
1
1
0
0
8
0
0
16
32
32
32
0
0
0
1
16
8
16
4
2
0
8
1
0
8
8
0
0
0
0
16
9
0
8
0
0
0
0
16
24
24
8
8
0
8
4
16
24
8
8
8
8
12
0
16
16
16
4
4
8
8
32
1
1
1
16
0
8
0
0
4
4
4
4
4
4
4
4
0
8
4
1
8
16
8
8
8
8
8
16
8
8
20
0
0
0
16
16
0
0
16
16
16
0
0
0
0
8
8
0
0
16
24
0
4
4
4
8
0
0
0
0
8
0
0
0
8
8
16
16
16
16
31
0
0
9
9
16
16
8
8
8
16
0
0
0
8
8
8
8
24
32
1
0
0
0
0
0
25
25
25
25
0
8
16
16
16
16
16
0
0
0
2
0
0
36
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
4
4
4
4
0
24
2
20
20
16
8
8
8
0
1
1
8
8
8
8
0
0
0
16
0
2
0
0
2
0
0
20
4
32
32
16
0
0
8
0
0
0
16
0
8
8
0
0
8
8
16
0
0
32
32
0
0
8
0
0
16
16
16
0
0
0
8
12
8
0
0
24
0
0
16
16
4
24
24
0
0
16
26
26
26
0
0
8
8
8
0
2
16
0
0
0
0
8
16
16
0
0
0
16
6
6
0
8
0
25
0
0
8
2
4
8
8
8
8
8
16
16
1
8
8
8
8
16
16
0
0
17
16
1
2
3
9
16
0
0
9
1
2
0
0
0
0
16
0
8
24
24
4
8
8
8
8
8
8
8
16
16
16
16
0
16
8
8
0
0
0
0
0
0
28
14
0
0
0
0
8
8
8
52
0
0
0
16
16
16
8
0
16
8
8
8
8
8
10
4
0
8
2
8
8
8
0
0
1
1
1
1
0
0
2
16
16
16
8
8
16
16
16
0
0
0
16
8
8
8
16
5
5
5
4
4
2
2
8
0
0
2
32
8
1
0
0
0
1
1
0
16
16
0
16
16
16
16
8
8
8
16
24
0
0
0
0
0
0
2
2
2
2
2
0
0
0
24
24
8
0
2
2
2
2
2
17
17
17
0
24
0
8
1
0
0
16
16
4
32
32
32
32
16
16
0
0
8
8
4
0
8
0
0
8
8
0
0
8
4
4
4
16
16
16
16
0
28
9
39
39
1
0
0
16
0
0
0
0
0
11
3
0
0
16
20
20
1
16
16
0
16
0
16
10
1
16
16
1
16
48
16
8
0
20
20
0
16
16
16
1
32
32
8
16
0
16
0
2
0
0
0
0
0
0
0
8
0
8
0
0
8
0
16
16
16
0
4
4
4
4
0
4
16
8
8
8
1
1
1
0
16
16
8
8
10
0
1
0
16
17
17
16
16
2
0
0
0
0
0
0
16
8
32
24
4
4
4
8
8
8
8
8
8
8
8
4
8
8
0
1
1
4
1
1
1
1
0
0
0
16
8
0
0
0
0
16
32
0
11
11
8
16
0
0
0
0
8
1
1
0
0
16
16
16
16
16
48
0
0
0
0
56
9
9
0
8
8
8
21
0
2
0
32
0
20
0
8
8
0
8
0
8
8
16
16
8
0
0
0
8
8
0
0
16
0
0
0
20
42
2
2
4
4
0
2
2
0
0
0
0
16
16
0
0
0
8
24
16
24
18
0
0
2
2
2
0
0
0
0
0
8
16
42
0
0
1
1
16
16
8
0
4
9
16
16
0
0
0
0
8
9
32
32
16
16
16
8
24
4
4
20
1
0
0
8
0
16
8
32
32
0
0
0
16
16
8
8
0
0
0
16
8
33
0
0
8
0
0
8
0
8
0
2
8
0
16
16
16
17
17
12
0
20
20
20
0
16
8
2
0
8
8
0
0
8
8
16
16
1
0
0
0
0
8
1
0
0
0
0
0
0
0
0
16
4
8
8
36
0
2
16
16
16
0
0
0
8
8
8
8
25
0
0
0
1
0
2
0
0
0
0
0
0
10
10
10
10
0
0
2
2
1
0
0
8
24
0
8
8
8
0
0
12
12
8
8
16
1
1
17
32
8
0
1
0
1
8
16
16
16
16
16
0
0
8
8
24
24
0
0
0
8
8
8
16
8
8
8
8
0
0
0
1
1
1
8
0
12
12
8
8
0
0
0
0
1
1
0
0
16
16
8
0
0
0
4
4
0
0
0
0
0
0
17
8
8
4
16
22
0
0
16
4
32
32
32
16
2
0
0
24
20
20
20
16
0
2
2
8
0
0
8
8
8
8
16
2
2
2
2
24
8
8
0
2
8
8
8
10
10
0
16
16
2
0
0
0
0
0
1
8
0
0
0
8
8
8
8
8
0
0
16
0
0
16
16
16
40
0
8
8
8
8
2
2
0
4
4
16
18
0
0
4
8
0
8
0
12
16
8
8
8
8
0
1
1
1
16
0
0
0
24
24
12
4
0
0
16
2
2
2
16
0
0
8
8
22
4
4
4
4
4
4
4
17
16
16
0
16
0
0
0
0
41
20
20
20
20
0
0
0
0
0
4
18
18
18
38
38
16
8
0
0
28
4
0
16
16
16
16
33
33
0
1
1
1
8
8
8
8
8
8
0
0
1
1
16
0
0
0
2
0
8
8
8
0
8
26
0
0
16
16
16
16
8
0
24
4
0
8
25
0
16
32
32
32
8
8
8
0
1
1
1
40
40
40
40
16
32
8
8
1
24
24
42
24
0
0
0
0
1
0
0
0
8
2
2
0
0
0
16
24
0
16
16
16
16
16
16
16
8
0
0
0
1
0
0
8
24
24
16
16
8
8
0
16
0
0
16
16
16
4
8
8
8
8
8
4
4
0
0
0
0
0
0
0
0
0
0
4
8
8
2
1
1
1
0
0
8
16
16
16
0
0
6
0
0
0
0
0
8
0
0
8
0
0
8
8
8
8
8
0
8
8
8
1
0
0
0
16
0
0
0
4
4
0
0
9
9
20
24
2
2
4
1
24
8
8
8
8
0
0
0
16
2
8
8
8
0
8
0
8
8
8
8
8
0
16
0
0
8
2
2
0
0
1
56
16
2
0
0
17
4
4
0
0
0
32
32
0
8
1
1
1
1
1
1
0
16
0
0
0
0
0
16
16
8
8
8
16
16
16
16
16
16
2
2
0
8
4
0
0
0
0
0
0
0
0
0
0
4
16
16
16
18
0
0
0
20
20
20
20
20
20
20
20
24
8
0
0
8
8
8
8
8
8
1
32
0
8
0
0
0
0
41
8
8
0
0
4
4
16
16
16
16
16
16
0
33
33
33
33
33
33
33
0
16
0
0
1
0
24
1
0
16
6
8
0
8
0
0
2
24
24
24
0
34
34
0
0
0
0
10
10
0
0
0
0
0
16
16
0
1
1
1
1
0
0
0
16
16
16
0
0
16
16
16
0
8
0
0
10
3
8
1
1
2
0
4
8
8
20
16
16
0
8
8
16
16
8
8
8
8
8
8
0
16
0
0
2
2
0
0
8
8
32
32
0
0
28
28
28
28
28
16
0
16
16
16
16
16
16
9
8
8
1
0
1
1
16
16
32
32
32
0
0
0
0
0
16
0
0
16
16
16
16
24
0
0
0
8
8
1
0
1
16
16
0
0
0
0
0
0
0
8
16
8
4
0
0
0
16
0
0
8
8
8
8
8
1
0
0
0
16
16
0
24
0
0
0
0
0
0
0
16
0
0
0
0
0
8
8
8
16
16
8
0
16
16
24
8
0
0
0
0
24
16
16
16
16
16
12
0
0
0
0
0
0
24
8
8
8
16
16
8
0
8
0
0
32
34
4
4
0
0
0
0
12
12
1
0
0
0
0
0
8
8
8
0
0
0
8
16
32
16
8
8
16
16
16
16
16
4
0
0
0
0
0
1
0
8
40
24
8
40
0
32
0
0
12
8
16
2
16
16
16
16
16
24
24
0
1
0
0
1
8
0
0
1
16
0
0
8
8
0
0
0
0
1
16
0
0
8
0
2
16
0
0
0
48
0
16
0
0
0
0
0
4
0
2
2
2
8
0
8
0
0
0
0
0
8
0
0
0
8
0
0
16
4
4
4
1
1
0
0
0
1
1
2
8
0
0
0
0
0
8
18
18
18
0
16
24
0
0
8
0
16
16
0
0
4
0
0
0
16
16
8
0
16
2
2
0
0
0
0
0
0
4
2
0
16
16
0
0
0
8
8
0
0
0
16
0
16
16
16
16
0
24
24
24
24
24
16
16
16
4
8
8
0
24
0
0
0
4
16
16
16
0
0
8
8
0
0
8
8
0
8
0
0
20
4
4
4
4
4
4
4
4
4
4
4
16
0
0
4
0
0
16
20
24
0
0
0
0
0
8
8
3
33
16
0
1
4
33
16
0
0
0
0
1
1
1
1
1
8
8
32
0
8
4
16
0
16
8
4
0
0
0
32
32
0
2
0
8
0
40
0
16
16
0
1
0
0
0
1
4
16
0
1
1
0
2
1
1
1
0
0
24
24
18
18
16
8
0
0
16
16
16
0
0
16
0
0
17
16
0
4
8
8
16
48
8
8
16
16
16
0
1
8
8
0
17
33
16
16
0
20
0
8
0
0
0
8
1
0
0
0
0
0
0
2
2
2
2
2
0
8
16
16
0
0
0
0
0
8
8
0
0
8
12
0
0
0
8
0
0
0
0
0
0
0
16
16
16
0
0
0
0
0
16
4
8
0
0
0
8
8
0
0
1
8
8
8
0
0
16
8
0
0
0
40
40
8
16
24
8
8
8
1
0
0
1
1
0
16
16
16
16
0
8
0
2
2
8
0
0
0
1
0
8
0
22
0
0
20
20
20
8
0
0
8
8
8
8
0
4
0
0
2
8
1
0
16
0
0
0
20
8
0
0
0
0
0
24
24
0
16
16
16
16
16
2
8
8
8
8
16
5
5
5
0
0
8
8
0
4
0
0
0
0
0
8
8
8
8
1
0
16
0
0
0
0
0
0
24
2
2
2
0
0
0
4
4
2
17
1
0
16
16
0
0
1
1
1
4
4
4
1
1
0
0
8
2
1
1
8
8
8
8
8
8
0
0
0
0
16
16
8
8
4
16
0
8
0
0
0
0
0
0
1
8
0
16
16
0
16
0
0
8
0
2
16
4
4
4
4
4
4
0
0
16
16
16
2
2
24
24
24
0
2
2
0
8
1
1
0
0
8
8
0
16
4
4
0
16
0
16
16
16
16
0
8
8
8
8
0
0
8
0
0
0
0
0
0
0
0
0
0
0
24
8
8
8
8
8
16
0
0
0
0
1
16
12
16
2
50
0
8
0
0
0
16
16
0
0
8
8
0
0
18
18
0
0
0
0
24
0
57
57
57
57
16
16
0
0
0
0
0
10
8
0
0
0
0
0
0
17
17
1
2
3
3
0
0
0
8
0
8
16
0
0
1
0
0
8
8
16
16
16
0
0
16
8
8
1
5
1
1
8
16
16
4
8
0
0
24
24
24
24
24
16
0
0
0
0
8
8
8
0
0
8
8
16
40
8
8
8
0
0
4
4
4
4
0
0
0
2
0
4
4
1
1
33
28
28
0
56
56
0
0
0
0
33
0
0
0
8
0
0
0
0
0
0
0
8
1
12
1
0
8
4
4
4
1
1
0
0
1
16
16
0
18
16
0
8
8
8
17
17
17
36
0
0
0
1
16
16
16
0
0
1
0
9
9
32
0
9
9
9
9
9
9
2
1
1
4
4
16
32
32
0
0
8
8
17
0
0
16
0
16
16
16
0
8
8
0
4
4
4
8
8
0
16
16
16
16
0
24
8
0
32
4
8
8
1
1
1
0
0
17
0
16
16
0
0
8
8
17
0
16
16
16
16
1
0
0
0
0
0
0
16
16
0
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
8
12
12
2
0
1
0
0
16
16
20
10
10
16
16
0
8
19
1
8
8
32
32
32
1
16
16
0
0
0
16
0
0
8
3
3
3
3
3
8
8
8
0
0
0
16
16
16
0
0
0
0
16
0
0
8
8
1
0
0
1
0
0
0
0
0
0
16
8
8
0
8
8
0
0
0
0
8
16
0
0
0
0
0
0
12
8
3
2
4
2
17
0
0
1
1
8
0
0
0
0
12
16
16
0
8
2
2
20
4
1
0
0
0
0
4
4
8
8
16
16
16
16
16
8
0
0
8
8
16
20
0
0
0
0
8
8
0
29
29
4
0
16
0
16
0
5
5
0
0
2
8
8
2
16
16
16
0
16
20
20
0
8
8
6
16
0
0
0
0
16
16
0
8
8
0
0
0
0
8
0
0
16
8
8
16
8
16
16
8
8
8
8
8
16
8
16
0
0
0
0
8
0
16
16
17
16
6
0
0
0
33
33
0
0
8
0
24
0
0
8
8
2
2
8
16
16
16
16
1
0
0
0
0
4
0
0
8
1
0
8
24
24
16
16
16
16
10
0
1
1
32
32
32
16
16
16
24
0
2
0
0
0
16
16
16
0
0
0
0
0
16
16
4
4
2
0
8
0
0
8
8
8
32
32
32
8
32
16
16
0
0
2
2
2
0
0
4
20
8
8
8
4
0
0
0
0
8
8
8
8
8
16
16
16
16
16
8
0
0
8
8
16
16
8
1
8
1
16
8
8
8
0
24
2
2
0
10
8
16
8
16
16
20
20
40
40
0
0
0
0
0
0
0
0
2
8
8
4
8
8
0
16
2
0
0
0
0
0
0
0
8
8
8
8
4
4
0
8
0
20
0
8
17
17
16
8
8
8
16
0
0
0
0
2
1
8
8
8
4
4
1
1
4
0
0
0
8
8
4
0
0
9
9
0
0
0
0
0
4
16
16
0
8
0
1
0
4
1
1
9
12
8
0
20
0
8
0
16
0
16
0
8
39
16
16
8
6
28
33
33
33
0
0
0
0
8
8
0
0
32
2
12
0
4
8
8
8
4
0
0
0
0
9
4
16
0
0
0
16
20
0
16
16
16
16
0
0
0
0
0
0
0
24
0
8
16
8
2
0
8
0
20
20
8
0
0
0
0
0
0
9
0
0
8
8
0
0
16
0
0
0
8
8
0
0
48
8
0
0
0
0
0
0
28
4
4
4
8
16
16
24
0
8
16
0
4
56
56
0
0
0
8
4
4
0
0
16
16
8
8
8
8
8
0
8
16
18
18
0
0
0
4
4
20
1
0
16
16
0
0
8
2
32
0
0
0
1
16
16
0
0
0
0
0
0
0
0
0
0
0
4
4
4
4
0
8
8
0
0
0
16
16
8
8
8
8
0
0
0
8
8
8
0
0
8
8
8
0
0
0
0
8
0
0
8
16
16
17
16
16
16
0
0
8
4
16
2
2
2
5
8
8
8
32
32
36
8
32
32
32
8
8
0
0
2
0
0
0
8
4
4
4
4
4
8
8
8
8
8
16
16
8
8
0
1
3
0
0
0
32
1
0
8
0
2
2
4
4
0
16
16
0
8
32
2
0
8
16
16
8
8
0
0
24
8
0
12
12
0
0
4
8
8
8
40
40
16
2
2
0
1
1
1
25
0
16
0
8
8
8
0
0
0
8
8
24
16
4
4
4
4
4
4
16
48
16
16
0
16
16
0
8
8
0
8
0
16
16
16
0
0
0
0
16
0
0
16
8
8
16
16
16
16
16
16
16
16
0
0
8
8
0
16
18
8
1
0
8
8
21
8
0
0
0
8
8
8
8
2
8
1
1
0
0
4
33
0
4
8
0
0
16
16
16
0
16
8
0
16
8
8
32
8
0
0
16
0
8
8
8
8
0
8
32
8
16
0
0
0
0
8
33
2
16
0
0
0
0
0
0
0
8
4
4
16
0
8
8
0
2
2
8
0
8
8
0
32
2
8
0
0
0
16
16
0
0
0
4
0
0
0
32
0
0
8
8
8
2
2
2
16
16
16
16
16
16
16
24
17
17
8
5
5
0
0
9
9
24
24
24
24
0
0
0
8
8
8
0
0
0
16
0
4
0
0
0
0
0
32
4
8
0
0
0
2
4
0
0
3
3
4
8
1
1
16
8
8
8
0
0
8
8
0
0
0
1
8
32
0
8
8
0
0
0
20
16
2
2
2
0
0
0
12
12
5
0
0
0
17
17
0
0
8
0
0
4
4
8
8
8
8
4
16
16
16
16
16
16
16
16
0
0
0
24
16
0
0
2
1
0
0
12
5
5
1
52
52
16
8
0
16
16
8
8
16
0
4
20
0
8
2
2
34
0
0
32
32
0
0
1
1
1
1
0
16
2
16
16
0
0
0
4
8
8
33
33
32
32
1
25
0
1
1
4
4
4
8
8
1
1
4
0
0
0
0
0
0
16
0
24
16
16
0
0
0
0
0
0
0
0
48
16
16
0
16
0
0
1
0
0
24
0
0
16
8
0
7
0
0
0
0
10
0
0
0
0
0
0
0
8
0
0
0
0
12
0
0
32
1
2
0
0
16
16
16
16
16
16
16
8
16
0
0
16
1
0
0
0
16
16
8
2
2
2
8
1
0
16
0
8
8
9
9
0
0
0
0
0
0
0
0
0
0
17
17
4
0
0
0
0
0
16
16
0
0
32
1
0
4
4
0
40
0
0
0
0
0
8
26
26
8
8
1
4
4
4
0
8
0
8
8
8
0
0
0
8
0
29
16
16
0
0
0
16
16
16
16
0
8
8
8
0
8
20
9
8
8
8
16
0
0
16
16
0
0
0
2
32
32
8
0
0
8
16
16
16
8
8
0
0
0
8
12
16
8
8
0
0
32
32
32
32
32
32
0
8
16
8
8
4
28
28
16
33
8
32
8
0
2
2
2
2
2
2
2
0
8
8
0
0
0
0
4
0
0
8
0
0
0
0
1
8
0
0
2
0
0
0
0
1
8
8
1
1
1
2
1
8
9
0
0
4
0
4
24
24
1
1
4
4
18
8
8
8
16
0
0
1
1
16
4
0
0
16
16
4
4
4
18
18
1
8
16
8
8
32
0
8
0
0
8
0
16
8
24
0
2
2
2
16
16
16
8
0
16
16
0
0
0
9
9
0
0
1
0
24
4
4
20
0
8
8
8
2
24
16
58
0
1
1
4
0
0
0
0
0
1
1
1
1
0
0
16
0
0
0
0
8
8
8
8
8
8
16
2
8
16
0
0
0
2
16
0
16
16
0
1
16
0
0
0
0
0
16
0
0
0
0
0
8
8
0
0
0
24
0
8
8
0
0
8
16
16
16
16
4
16
16
0
0
0
0
0
0
4
4
8
0
0
4
0
0
16
16
16
0
22
22
8
16
16
8
0
2
2
20
16
2
0
8
36
0
0
0
0
0
8
8
8
2
16
8
0
0
0
8
16
8
16
16
2
2
32
0
16
8
8
8
22
25
8
0
0
4
0
0
16
16
0
0
0
0
16
16
8
8
8
0
0
0
0
0
16
8
8
8
36
32
0
0
0
16
4
8
8
8
8
4
0
8
8
8
16
0
0
0
0
0
0
32
0
0
8
8
18
4
2
0
8
8
16
16
1
1
1
1
0
0
16
16
16
25
8
8
8
8
0
0
0
8
8
8
0
0
0
8
8
8
8
16
0
2
1
0
8
9
8
8
2
41
4
1
16
16
8
0
16
0
0
1
5
8
0
0
8
0
0
0
0
0
0
0
16
16
16
1
8
16
16
16
16
0
0
0
0
12
33
8
8
0
0
0
0
0
0
0
28
28
28
20
20
16
16
16
0
8
8
1
4
4
16
16
16
8
8
0
0
0
0
28
0
0
0
1
8
16
16
16
16
0
0
20
8
8
0
2
2
8
0
0
1
1
32
32
16
0
2
2
1
1
24
24
24
24
0
8
16
16
8
2
2
16
16
16
0
0
0
0
16
8
8
0
8
0
0
0
8
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
16
16
0
0
8
4
4
1
4
2
2
2
16
16
0
8
16
8
16
0
0
0
16
0
8
8
0
0
0
0
16
0
8
0
0
16
0
0
4
2
8
0
24
8
8
0
18
0
24
24
8
8
0
0
4
4
0
24
0
0
0
0
0
16
0
0
0
9
9
8
8
2
2
8
1
0
16
3
3
8
0
0
1
0
0
0
0
0
0
0
48
0
0
0
0
0
0
4
4
4
4
0
16
8
2
2
2
16
16
16
16
16
16
16
0
4
4
4
1
9
4
0
0
0
0
4
4
0
12
12
25
25
25
16
8
8
0
32
4
1
1
0
16
16
16
0
0
0
0
0
19
19
5
0
0
0
1
1
0
0
8
8
24
4
8
8
8
8
24
8
8
8
8
16
0
0
0
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
8
8
1
1
8
8
8
2
0
16
16
0
8
0
0
0
0
24
0
16
16
32
25
9
9
8
8
8
0
8
0
0
0
8
24
24
0
1
1
8
8
8
20
1
1
1
1
41
41
44
44
16
8
8
8
8
8
0
16
16
16
0
2
2
2
0
0
0
0
28
28
28
28
28
0
0
0
0
0
0
0
0
0
8
8
0
4
0
0
2
0
0
0
0
4
4
0
0
16
2
0
8
8
8
26
26
0
0
0
0
0
0
0
0
0
4
0
0
4
4
1
0
0
0
0
16
16
16
16
0
1
0
0
16
16
16
16
0
2
0
0
16
9
0
8
8
16
0
4
0
16
20
0
0
0
0
0
18
18
18
0
2
0
40
40
40
24
0
8
2
2
2
0
0
0
0
0
8
8
24
8
17
8
8
8
0
0
0
0
0
8
0
0
16
0
0
0
0
0
0
8
8
8
0
0
0
0
2
8
0
1
24
24
24
24
24
0
32
0
16
16
16
8
0
4
4
8
8
16
0
0
0
4
8
8
0
24
24
0
1
1
0
0
12
12
12
8
8
8
16
0
0
0
0
0
0
0
12
12
0
8
8
8
0
0
0
0
0
9
2
2
2
2
0
0
0
16
48
0
8
8
8
16
16
16
16
4
16
0
18
2
16
16
16
16
16
0
8
16
0
0
0
16
16
16
20
16
16
16
8
8
8
16
24
8
0
0
16
16
0
0
0
17
0
0
8
8
16
0
0
0
8
8
8
8
4
4
0
0
0
16
20
0
0
16
2
0
8
0
0
16
0
0
20
16
24
0
0
0
16
8
16
16
16
8
8
2
0
0
0
2
8
1
57
57
57
57
57
57
57
16
0
0
16
8
24
1
16
0
0
0
2
2
2
2
2
16
4
0
0
0
0
0
8
4
4
4
17
8
8
0
0
38
0
25
0
16
16
16
0
0
8
8
16
16
0
0
2
2
16
8
8
0
0
16
16
40
32
4
4
4
4
4
8
8
8
8
32
0
0
0
0
0
0
0
8
16
33
1
8
8
8
8
16
16
0
0
0
0
0
4
0
0
0
0
0
0
16
16
0
8
8
0
0
0
16
0
0
0
0
8
4
0
0
2
2
2
0
16
0
0
0
16
16
0
0
0
0
0
28
28
16
0
0
0
24
24
32
0
0
0
0
0
0
0
0
0
8
16
16
16
4
0
0
0
0
32
16
16
16
16
1
0
0
32
0
0
0
16
0
1
8
0
16
16
0
0
0
8
24
0
4
2
8
0
8
24
0
0
16
0
0
8
8
8
0
0
0
8
0
16
16
0
8
0
0
0
8
16
16
16
16
16
16
8
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
16
0
16
16
16
1
4
4
4
0
8
0
8
8
8
8
8
0
2
16
16
8
4
1
16
4
4
4
8
0
0
4
8
0
8
17
17
8
8
2
2
2
8
8
8
0
24
24
24
24
16
8
0
0
0
2
17
8
2
0
16
2
2
2
0
8
8
8
8
8
4
8
8
8
26
26
8
8
8
48
0
16
16
16
16
0
17
0
0
0
0
0
8
0
8
8
0
0
0
0
0
8
8
8
5
8
0
16
8
16
16
0
16
4
16
16
0
0
8
0
8
0
0
0
8
0
8
21
1
8
0
0
16
0
9
32
0
0
0
0
0
49
1
2
2
28
28
16
16
16
16
16
0
0
0
0
0
16
16
0
8
8
2
40
40
48
32
8
8
8
16
16
25
25
25
0
20
0
0
0
24
0
8
8
8
8
16
16
5
8
32
32
16
16
12
12
12
16
0
8
2
2
3
0
8
0
0
16
24
24
24
0
8
8
8
8
8
8
8
8
8
2
2
2
8
8
8
8
11
11
0
0
4
4
24
0
0
0
0
0
0
1
1
8
8
0
0
0
0
21
2
16
0
0
4
0
1
0
8
17
0
8
0
9
8
16
1
0
0
0
1
25
1
1
1
1
1
0
8
8
8
8
0
4
0
0
0
0
0
0
0
0
16
12
0
0
0
0
0
0
0
0
0
0
8
16
0
0
1
0
0
16
33
4
6
8
0
16
16
16
16
16
0
4
8
0
0
0
0
2
4
4
4
4
4
22
4
16
16
4
4
0
1
0
0
0
8
0
0
0
8
16
0
0
0
0
0
0
0
0
8
8
0
19
18
0
40
40
16
16
16
16
24
24
24
24
8
8
0
0
8
8
4
0
0
0
0
0
6
16
2
2
4
0
16
18
8
4
4
0
0
8
0
8
8
8
0
0
8
8
0
4
4
8
8
0
8
5
32
32
0
0
9
9
9
0
0
8
8
8
8
8
16
14
8
4
16
16
0
8
0
0
0
0
0
32
32
16
1
0
0
0
16
16
0
0
0
1
0
8
0
8
0
20
0
16
16
16
16
4
4
8
8
0
0
0
0
32
0
16
8
0
0
16
8
48
48
16
8
8
0
0
0
0
16
8
1
0
0
24
24
24
24
0
1
1
16
16
0
8
0
0
32
0
0
0
0
0
0
1
1
1
8
4
4
0
0
8
0
0
8
8
8
0
0
0
0
1
8
8
8
0
16
16
4
4
8
0
0
0
0
0
16
16
0
0
16
16
16
8
8
0
16
16
4
0
0
16
0
16
0
8
16
16
16
0
0
0
24
16
1
0
0
33
36
16
16
16
16
0
4
0
8
8
0
0
0
0
0
16
16
0
0
0
0
0
0
8
1
0
8
16
8
8
0
0
32
18
18
0
0
16
16
0
8
8
0
0
8
8
16
0
16
16
8
4
0
0
0
0
8
8
8
1
16
16
2
2
0
4
4
4
4
4
0
0
0
16
16
4
12
12
12
0
4
0
8
0
0
0
0
2
2
2
0
1
0
0
8
6
0
0
8
8
0
8
8
18
18
0
0
16
24
5
5
0
0
8
4
8
8
32
8
2
2
2
2
2
2
16
16
16
16
0
10
8
0
0
0
16
16
8
8
8
8
8
8
8
0
0
8
0
16
9
1
8
8
0
16
8
8
0
0
0
56
1
16
16
16
0
0
0
0
16
16
16
16
16
9
9
9
9
0
0
0
8
0
0
1
8
8
8
8
8
8
16
8
8
8
16
0
0
24
9
9
0
1
28
8
8
8
16
8
0
4
0
0
0
0
8
8
4
4
0
0
0
0
0
0
0
8
8
0
12
8
8
0
0
0
0
0
8
2
2
0
16
0
0
0
0
0
8
8
0
4
4
1
1
0
0
28
2
40
18
0
0
0
0
0
0
0
1
0
0
0
8
8
8
8
8
16
0
0
0
0
0
0
2
0
8
17
17
17
0
16
4
0
0
4
4
8
0
1
8
8
0
0
0
4
2
2
0
0
0
16
16
17
17
1
1
18
18
16
1
1
2
0
0
0
8
16
8
8
0
8
16
8
8
8
8
8
8
24
24
8
0
16
0
0
0
16
16
16
16
16
16
8
8
8
0
0
22
16
0
0
0
1
32
32
32
32
0
0
8
33
16
0
0
0
0
20
2
0
16
24
24
2
2
0
18
16
1
1
1
1
0
0
1
4
4
8
8
16
8
0
0
0
0
8
0
0
0
0
18
0
0
0
16
16
1
13
8
3
3
16
4
4
8
8
56
0
0
0
0
0
16
6
0
26
26
8
16
1
16
0
0
1
0
0
8
8
0
8
8
0
1
1
0
4
4
8
16
17
1
8
4
1
0
0
0
0
0
4
4
2
2
2
8
8
2
0
0
0
0
0
4
2
16
16
0
4
32
32
32
0
0
0
0
1
32
0
5
5
16
24
0
2
2
4
2
8
8
32
1
1
8
0
12
8
8
4
1
0
9
0
17
17
0
0
16
0
0
8
16
8
4
8
16
0
0
9
0
16
32
8
1
2
2
8
0
0
2
2
0
16
8
0
0
0
8
0
0
0
8
8
6
16
16
16
16
16
0
8
0
0
0
16
16
2
8
0
0
8
0
0
0
8
8
8
0
16
8
0
8
0
8
16
16
16
16
16
16
16
0
8
0
0
0
0
2
2
32
32
8
8
8
8
8
0
0
8
1
8
8
8
8
16
0
0
0
0
0
0
0
6
0
8
0
0
0
0
1
0
8
0
0
28
28
20
20
25
25
25
25
25
0
0
1
1
24
16
16
2
2
2
0
1
16
16
16
16
8
4
0
8
0
0
0
0
0
8
0
0
0
32
8
0
4
0
0
0
0
0
16
32
0
0
0
0
0
0
0
0
16
8
8
8
8
0
0
0
16
16
8
8
8
0
8
8
0
0
0
16
0
8
8
8
24
16
0
4
4
4
0
0
0
0
0
0
0
32
32
32
32
0
0
8
8
8
16
8
8
8
16
0
16
16
0
1
1
0
0
0
16
0
0
8
8
8
8
16
16
20
4
0
2
0
0
4
0
16
8
24
24
10
10
10
48
24
1
1
0
16
9
0
8
0
0
0
0
16
16
28
16
0
12
0
8
8
8
16
16
1
32
16
8
0
18
0
0
0
0
0
4
0
16
0
0
0
32
0
0
8
2
2
16
0
0
0
0
0
16
16
16
0
0
16
8
8
8
0
0
0
2
1
58
42
42
0
16
16
1
1
1
32
32
0
0
2
2
16
0
2
0
0
0
0
0
0
0
0
2
0
0
0
0
24
8
8
17
8
8
0
0
0
0
0
24
0
16
2
4
0
16
0
2
8
8
12
12
20
8
16
16
16
16
16
16
16
16
0
8
8
24
24
24
8
0
16
16
16
0
0
16
16
16
0
0
0
0
0
0
1
1
0
0
0
8
8
8
0
0
0
0
1
4
4
0
8
0
16
1
0
0
8
0
2
2
2
0
0
0
1
8
8
0
8
8
8
8
0
0
0
0
0
0
0
8
8
0
4
1
7
0
0
0
0
0
0
0
8
8
0
0
1
0
2
48
48
48
48
8
16
0
0
0
0
8
16
5
5
0
16
16
0
8
0
1
1
1
1
1
24
0
0
0
16
16
0
0
0
32
2
0
0
0
62
0
0
0
0
0
2
2
0
4
4
4
4
4
4
0
0
0
16
16
2
4
4
0
8
0
0
16
16
16
0
1
1
1
1
16
16
0
0
0
14
8
8
8
8
8
8
4
0
16
4
1
1
8
0
1
16
4
0
0
0
0
0
8
16
8
8
16
16
16
16
0
0
8
20
8
8
6
8
8
8
0
0
0
0
0
0
16
0
0
0
8
8
18
18
18
18
18
33
0
40
8
4
4
0
4
8
8
9
0
0
0
0
0
0
16
8
8
8
8
0
0
0
0
2
2
0
0
0
0
0
12
0
0
0
0
0
0
0
1
16
1
3
4
0
8
8
16
16
16
16
9
8
0
0
12
0
24
24
37
8
16
1
1
33
16
0
0
8
0
0
0
16
2
16
16
0
4
0
1
0
32
0
8
1
4
4
4
0
0
0
33
16
16
0
16
8
8
0
8
0
0
0
0
8
8
0
8
8
2
2
2
0
0
8
8
2
2
2
0
8
8
8
0
0
16
16
16
16
16
0
0
0
8
8
0
16
16
16
2
2
16
8
24
24
0
0
0
0
0
0
0
16
16
40
0
16
0
10
8
32
0
0
0
0
0
0
8
8
2
4
4
8
0
1
8
8
8
16
16
16
4
4
0
4
0
2
0
16
16
1
1
32
32
32
8
0
0
0
0
0
0
2
2
2
2
2
2
16
16
32
0
0
10
0
0
0
16
16
1
1
16
16
2
16
8
8
16
4
8
24
24
8
8
12
12
17
0
0
0
8
1
1
1
0
0
8
1
1
1
2
16
16
0
0
16
16
16
0
0
0
0
0
0
0
0
18
18
18
8
8
8
0
0
4
0
16
0
0
0
0
0
0
16
16
16
2
2
2
1
1
1
8
8
8
0
8
0
0
8
8
8
0
8
8
0
1
1
0
0
4
0
0
0
0
0
8
8
8
8
8
2
8
1
1
8
1
16
16
8
8
8
0
0
0
0
1
0
4
0
0
16
16
24
24
4
4
4
4
4
4
4
4
4
0
0
0
32
32
8
4
8
8
8
8
1
1
1
16
16
4
4
24
0
0
0
0
0
0
0
0
8
8
0
36
12
0
0
0
28
2
0
0
0
0
0
8
16
8
0
20
20
0
0
0
0
0
0
0
0
0
0
8
0
0
0
1
0
2
0
8
1
28
0
16
8
8
0
8
0
1
0
0
0
0
0
8
8
0
1
0
8
8
0
0
0
0
0
0
16
8
0
16
8
29
29
29
8
0
0
8
0
0
0
12
0
0
0
40
16
0
28
8
8
32
4
4
4
0
16
16
0
0
8
8
24
24
24
24
24
4
8
0
8
16
16
0
16
16
16
16
16
6
0
0
0
0
0
8
8
8
8
2
2
0
17
16
16
16
16
16
1
16
0
0
0
0
0
0
8
0
0
8
0
8
0
16
0
16
8
8
16
0
8
0
0
0
32
32
32
4
8
16
0
0
0
8
16
16
16
8
0
1
1
1
8
0
0
0
0
0
8
0
0
0
0
0
0
0
24
8
8
8
0
1
1
13
16
6
6
0
0
0
0
0
0
4
0
8
16
1
2
2
0
0
4
0
8
8
16
16
16
5
16
6
4
4
4
4
4
4
16
16
16
16
0
0
16
16
16
16
0
1
1
16
16
16
16
16
24
24
24
0
0
0
0
8
8
16
8
12
12
8
4
16
16
16
0
4
8
8
33
0
16
16
16
0
0
16
16
16
0
0
12
0
0
16
16
16
8
2
2
6
0
1
0
0
16
0
16
0
0
0
0
8
8
8
4
0
0
0
16
16
16
16
16
1
1
1
0
0
8
0
16
8
0
16
0
0
0
0
8
0
8
8
8
8
0
0
0
8
8
1
8
1
16
0
0
0
0
0
8
8
0
0
0
4
4
32
32
0
0
16
0
32
0
1
16
16
0
8
24
0
0
8
0
16
8
24
24
24
24
16
16
0
0
16
16
16
16
16
0
0
0
16
0
0
8
2
2
16
0
0
0
0
0
0
0
0
20
4
0
0
0
16
0
0
0
0
0
4
4
34
16
0
0
16
0
8
8
0
8
0
0
8
8
0
0
32
0
0
4
16
16
0
8
0
0
0
8
8
8
8
8
8
1
2
0
0
0
8
0
0
32
2
2
2
9
8
8
8
0
8
8
8
8
0
8
8
0
16
1
0
0
16
8
8
0
0
24
3
8
8
8
2
0
5
5
5
4
0
0
0
25
25
25
25
0
0
0
12
8
8
16
0
16
4
8
8
16
2
0
0
16
16
8
2
2
2
0
0
1
1
1
1
1
0
8
0
8
8
0
16
16
0
4
4
4
2
0
0
8
8
8
8
8
8
2
8
8
42
0
16
0
2
8
0
2
2
0
0
2
2
2
16
16
0
0
0
0
0
0
0
16
0
8
8
8
8
40
4
0
26
1
32
32
0
16
0
8
8
0
16
16
0
0
0
0
8
8
8
8
8
0
0
0
0
0
0
16
16
0
0
2
2
0
4
32
16
0
8
8
8
8
8
8
8
8
1
8
16
2
0
1
24
8
8
0
0
2
8
8
8
8
8
2
8
8
8
0
0
0
0
16
16
8
0
0
16
16
16
16
12
4
0
0
0
0
0
8
2
0
0
2
2
0
0
0
16
4
4
8
8
8
2
2
0
37
32
1
0
0
20
20
0
8
8
0
0
0
12
0
0
0
8
0
0
0
16
16
16
8
0
0
0
0
0
1
0
56
0
8
8
8
8
0
16
16
16
8
8
16
0
0
16
24
0
16
16
17
17
2
6
6
2
8
8
8
20
20
20
0
0
0
0
0
0
0
0
8
8
16
0
0
0
16
16
8
8
8
8
0
18
8
0
16
0
0
32
32
24
4
40
16
24
24
24
24
24
8
16
8
8
8
8
8
16
16
16
16
16
28
9
8
24
0
8
0
8
0
16
16
16
16
16
8
0
0
33
0
0
0
0
17
0
32
16
0
8
16
16
16
0
16
16
8
8
8
8
8
8
8
32
16
0
26
8
8
4
16
1
0
0
0
0
0
24
0
0
16
2
2
20
16
0
0
0
0
17
17
17
16
16
0
0
0
16
16
16
1
0
0
0
8
0
0
16
1
8
8
8
24
12
8
8
0
0
0
16
32
32
32
32
32
32
32
32
32
0
0
0
0
0
0
0
32
0
0
0
8
8
8
8
0
2
16
0
0
0
0
16
16
16
2
0
0
0
0
8
0
4
4
0
8
24
24
8
0
0
2
17
17
0
16
2
34
8
8
17
16
8
8
33
0
0
0
8
8
0
0
0
2
2
8
8
8
0
0
0
0
0
6
8
4
4
4
4
8
0
16
20
0
4
4
4
4
4
4
1
1
0
2
0
0
0
0
1
16
0
8
0
0
0
0
8
8
8
8
16
0
0
0
1
2
8
8
8
8
8
4
16
0
8
0
0
0
0
0
2
12
12
0
0
0
0
1
8
0
0
16
0
4
0
0
16
16
8
16
0
0
0
8
8
0
0
16
16
16
1
8
24
0
2
0
0
4
4
9
9
16
16
16
8
2
0
13
8
8
8
0
0
0
0
0
8
8
0
0
0
16
16
16
8
32
0
0
0
2
0
0
8
29
0
16
16
16
16
0
16
16
8
0
32
8
8
8
40
0
8
8
0
16
16
16
58
2
2
2
2
0
0
25
4
0
8
8
0
0
0
2
0
0
0
9
0
8
16
20
1
1
16
0
2
0
18
18
16
8
0
0
0
17
4
4
1
0
6
16
16
0
16
0
0
1
0
0
5
16
16
0
32
16
16
0
0
0
0
0
0
0
8
25
0
0
0
0
0
9
0
0
8
8
16
16
16
26
26
26
4
0
16
16
16
0
16
16
16
16
16
8
16
0
0
0
0
0
2
0
16
0
0
0
4
4
8
1
16
16
0
24
24
24
8
0
5
0
0
16
16
8
32
32
16
8
8
1
0
8
2
1
1
0
0
0
0
0
8
8
24
24
24
0
8
8
32
32
32
0
8
0
16
0
32
0
0
0
0
0
0
0
16
16
1
1
0
16
8
8
8
8
0
8
0
0
16
16
16
16
16
24
24
32
0
0
0
0
0
8
9
0
8
4
0
0
4
4
4
4
0
0
0
0
0
8
8
8
8
8
8
8
4
4
4
8
8
0
4
0
0
16
16
2
2
2
2
2
2
0
0
0
8
8
16
0
0
0
0
0
2
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
1
1
1
1
1
8
0
0
1
0
8
8
0
8
8
16
48
4
0
7
0
16
16
16
16
0
0
0
0
0
26
0
0
2
0
0
8
0
0
16
16
16
0
17
16
13
13
4
2
1
16
16
1
2
1
1
1
16
16
0
8
0
0
18
25
1
0
0
0
0
16
8
0
8
0
0
0
0
0
16
16
16
0
0
16
8
8
8
8
8
8
8
0
5
0
24
0
16
8
0
8
8
16
4
8
0
1
1
1
24
16
0
8
8
8
8
0
8
32
16
16
0
0
16
16
24
1
24
0
16
16
16
12
8
8
8
8
8
0
16
16
0
0
16
8
8
8
8
0
0
0
0
0
24
0
8
8
0
2
0
4
16
16
0
33
0
0
0
4
4
0
0
0
0
8
0
0
0
0
0
0
0
17
8
8
8
8
8
0
0
0
0
4
0
8
2
2
0
25
11
12
0
0
0
0
0
32
0
0
0
0
0
16
0
8
0
10
8
8
0
0
0
8
0
8
16
0
0
8
1
16
16
16
0
0
0
0
0
0
0
0
0
8
2
0
0
0
1
0
0
16
8
2
24
24
16
16
16
16
16
16
16
8
0
16
0
2
16
16
1
1
2
1
0
16
16
16
48
0
9
4
4
0
0
0
0
0
0
0
2
2
2
1
0
2
2
2
8
0
17
0
1
8
24
0
0
0
0
8
1
1
1
8
0
16
32
32
8
2
0
0
16
16
0
0
8
24
42
42
42
16
16
16
8
2
2
0
4
0
0
4
0
16
0
16
16
16
24
0
8
8
8
8
12
12
0
1
1
16
16
16
16
0
4
1
1
0
0
0
16
16
16
16
16
16
1
1
1
1
8
8
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
8
8
0
32
0
0
0
16
16
16
18
18
18
18
0
0
0
8
8
16
0
0
0
0
0
0
48
4
8
8
8
8
8
8
0
24
8
8
0
0
24
0
8
8
8
16
0
16
4
4
0
0
0
16
8
0
2
1
8
1
1
1
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
32
32
32
1
0
8
16
8
28
8
8
0
0
8
8
8
0
0
0
16
16
8
16
16
16
8
0
8
8
16
0
0
8
8
0
0
8
8
0
0
24
0
0
32
0
16
2
8
8
1
16
16
16
16
16
16
0
16
0
4
2
2
16
16
16
8
8
4
4
0
0
0
13
0
0
0
0
8
8
0
0
0
0
0
0
0
16
33
8
0
0
8
0
0
16
0
24
24
2
8
2
8
0
8
10
8
8
16
16
16
1
1
1
22
22
22
5
0
0
1
1
1
1
0
1
5
0
0
16
16
0
0
0
1
0
0
16
18
32
32
0
0
0
0
0
0
0
8
33
33
0
0
0
0
0
16
16
2
16
8
8
8
6
0
0
0
0
0
0
21
21
0
8
8
16
0
1
1
16
16
16
16
8
16
8
8
0
0
0
0
8
2
2
2
8
8
8
16
16
16
2
16
0
0
16
16
8
1
1
1
4
8
8
0
16
0
0
0
0
8
1
0
8
8
8
8
4
16
0
28
28
0
0
0
0
0
8
8
0
0
0
0
0
8
32
16
16
0
0
4
0
16
16
0
0
1
16
0
8
0
0
0
0
0
0
16
16
16
16
0
0
0
0
0
16
0
18
16
18
18
0
16
16
2
2
2
48
48
25
0
0
0
16
32
32
32
8
8
32
32
32
32
3
0
16
16
16
16
16
9
0
0
0
2
16
2
0
0
0
8
8
56
56
8
8
8
8
0
0
16
0
0
8
8
8
8
4
4
4
20
0
0
0
0
0
0
8
8
8
20
0
32
0
8
24
1
1
16
1
0
0
0
16
16
16
16
18
0
16
16
4
0
0
0
0
0
0
8
8
8
8
8
8
8
8
8
16
16
8
0
0
0
0
0
8
24
24
0
0
0
16
0
0
0
8
8
8
8
8
0
0
0
0
32
0
0
8
8
8
8
4
0
16
16
16
8
0
6
32
4
4
16
8
0
0
0
0
16
4
3
3
3
0
0
0
0
0
32
32
16
25
25
16
16
16
16
0
16
24
24
24
0
0
0
16
16
0
0
0
0
0
20
20
8
0
0
0
0
16
1
16
0
0
16
8
8
8
0
0
0
22
8
8
8
0
0
1
0
0
0
8
8
0
0
8
1
2
24
8
0
0
0
0
35
16
16
16
0
0
0
8
8
32
32
0
0
0
1
16
8
8
8
4
0
0
0
0
0
4
4
24
8
8
16
0
4
16
8
0
0
0
0
0
16
0
17
8
4
0
13
32
8
38
38
32
8
2
4
0
0
0
0
0
0
0
8
2
4
0
0
18
8
0
32
32
16
16
16
8
8
0
8
8
0
4
4
0
0
1
16
16
0
16
16
0
8
0
8
8
8
8
8
0
2
2
2
2
4
8
4
4
0
16
2
0
0
8
8
0
0
0
0
0
2
8
0
8
0
0
16
20
8
8
8
24
24
4
4
8
8
8
16
2
2
8
8
8
0
1
24
0
16
8
8
32
4
4
0
56
16
16
0
16
0
0
8
22
22
16
0
8
8
8
8
24
24
24
0
0
0
0
0
24
4
4
4
4
8
0
16
16
8
4
4
16
16
8
8
40
40
8
8
8
8
0
8
8
0
0
16
16
0
0
0
24
0
0
0
0
6
0
0
4
1
0
0
10
24
0
8
0
8
0
0
0
0
0
4
16
4
0
0
0
8
16
17
24
16
16
0
16
0
16
16
0
0
16
0
0
0
0
16
16
22
16
16
8
8
8
8
0
0
0
0
17
0
1
16
16
16
24
0
0
25
16
16
16
12
16
0
4
0
0
8
16
16
16
16
0
8
0
0
0
0
8
0
16
16
25
16
8
0
0
32
2
0
0
0
0
0
8
0
8
8
0
0
8
8
8
8
0
34
0
8
8
0
16
16
16
16
0
12
0
0
0
0
0
0
8
8
16
0
0
0
8
16
4
1
4
0
0
0
0
8
8
8
0
0
0
16
16
16
16
16
8
0
0
0
0
4
4
4
16
4
0
57
57
6
0
8
8
8
0
24
16
16
0
0
2
16
0
0
0
0
0
0
0
16
4
8
8
2
1
8
0
16
16
16
0
0
21
8
2
2
0
8
8
0
0
8
0
24
0
0
8
4
0
0
0
2
12
12
12
0
16
16
26
26
26
16
0
0
0
0
16
0
8
16
8
0
2
0
0
0
0
0
0
20
0
0
16
16
16
0
16
16
16
16
8
0
22
22
8
4
0
0
24
33
8
8
0
0
1
16
16
0
16
16
0
0
0
0
16
16
0
0
16
16
8
8
56
0
0
8
8
2
4
0
0
8
8
0
8
0
16
16
16
0
16
8
0
0
0
0
2
10
2
16
8
16
1
16
0
4
0
0
0
8
16
8
12
12
0
0
16
16
16
0
0
0
0
0
2
0
0
16
16
16
16
0
0
0
0
24
8
8
8
0
2
16
0
24
4
8
0
0
0
8
8
8
2
0
29
8
8
0
0
0
0
0
0
41
41
41
0
16
16
0
0
8
16
1
0
0
0
0
0
16
0
16
14
14
8
8
0
12
0
0
0
0
0
16
16
16
8
8
8
8
8
0
0
0
0
0
0
0
16
16
16
2
2
2
2
0
4
4
0
0
28
0
0
16
0
0
57
57
57
57
57
57
8
0
32
8
0
0
0
0
0
0
0
0
0
0
0
0
16
32
32
32
0
0
0
4
4
1
1
1
2
8
8
2
2
2
8
0
0
0
16
16
16
16
0
0
8
32
0
16
0
0
0
0
24
16
16
4
4
32
0
0
8
8
17
2
16
4
4
4
0
0
8
0
0
0
0
8
0
0
0
0
0
0
8
8
8
0
0
0
0
16
16
0
32
1
1
0
8
16
16
8
20
20
20
20
20
20
20
20
20
20
20
20
20
40
0
8
8
8
16
16
0
8
8
0
8
24
2
19
0
12
12
12
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
8
4
4
0
0
0
9
9
16
1
1
1
1
0
0
8
8
8
0
0
0
0
0
4
4
8
0
0
0
18
18
8
8
8
0
4
4
4
8
8
8
8
0
0
8
8
16
9
9
0
0
0
0
0
0
0
8
0
0
0
0
8
0
16
16
8
8
8
8
8
8
4
0
0
0
0
16
16
0
30
30
27
0
8
0
8
8
8
0
0
8
16
0
16
0
0
0
0
0
16
16
16
16
16
8
8
8
8
0
0
0
0
0
0
0
16
0
0
0
8
0
8
0
16
16
16
16
16
0
16
16
0
16
16
16
48
48
8
16
16
16
0
16
32
32
8
8
0
28
0
1
8
0
8
16
16
8
0
1
1
16
16
1
17
17
36
0
0
16
10
10
10
8
8
0
0
0
0
0
8
8
16
16
16
16
16
16
8
0
0
8
8
8
17
0
16
16
16
16
16
16
16
16
4
0
0
8
8
8
32
0
0
34
0
8
16
16
8
8
8
8
0
0
0
0
2
0
0
0
8
24
24
24
0
0
16
0
0
0
16
16
16
0
0
0
1
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
2
16
32
0
0
0
0
0
0
20
20
20
0
8
8
16
0
0
0
0
4
0
0
0
0
0
0
2
0
1
0
0
8
0
1
0
1
1
4
4
8
0
4
4
2
2
2
8
8
0
0
0
57
57
57
57
24
16
16
16
28
8
8
16
0
22
2
4
16
0
0
0
0
0
0
8
16
16
24
0
45
45
16
16
8
16
0
0
0
4
16
24
24
0
1
1
1
1
8
0
0
0
0
0
0
33
33
33
33
33
33
33
33
17
17
0
0
0
0
0
0
0
0
32
32
8
0
0
0
0
0
0
4
4
0
0
8
0
8
8
20
20
8
8
8
16
0
13
0
0
0
8
32
0
0
0
16
56
56
4
4
8
8
32
32
32
0
0
0
0
0
8
0
0
0
0
0
32
1
4
16
0
16
16
0
16
1
1
2
2
5
16
33
0
0
8
4
24
24
18
16
0
0
16
0
24
8
8
0
0
16
16
0
0
0
12
8
4
4
16
16
16
16
16
16
0
8
16
8
16
8
0
0
0
0
0
8
8
8
0
0
9
9
9
9
9
0
0
4
0
0
0
0
0
0
4
16
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
1
8
8
8
8
0
0
0
0
0
1
1
0
0
0
0
0
16
16
0
0
52
0
0
0
8
8
24
0
0
0
4
12
12
0
32
32
0
1
1
0
0
16
0
0
0
0
0
0
0
0
0
0
2
0
8
0
0
0
8
8
0
0
4
4
8
8
0
8
0
4
16
16
16
8
0
0
0
4
4
4
4
0
0
0
16
16
2
2
2
8
8
8
0
0
0
0
0
24
8
8
8
22
1
1
16
8
24
0
0
0
32
0
4
4
0
8
0
0
16
16
1
1
0
8
0
24
0
16
0
8
8
8
8
1
24
16
16
40
40
2
22
22
22
22
22
0
0
8
1
8
25
0
0
0
0
32
0
3
9
12
12
0
0
4
4
4
4
4
4
4
4
8
8
1
24
24
16
0
8
8
0
0
0
8
0
8
8
8
8
8
8
8
32
32
0
0
2
16
16
0
1
16
8
0
0
9
8
8
8
0
0
0
0
0
0
1
1
16
16
8
24
8
8
8
8
8
8
0
0
0
16
16
36
0
8
16
16
16
16
8
0
16
0
0
32
32
32
32
32
0
0
0
0
0
0
4
16
16
1
0
0
32
32
32
32
8
40
40
40
8
16
16
0
16
16
0
0
0
0
0
0
16
0
0
0
32
32
0
0
0
8
32
8
4
0
8
1
8
8
8
0
0
0
0
0
4
16
0
0
8
8
0
8
8
8
8
0
0
20
0
1
0
0
0
0
16
0
0
0
2
2
2
0
16
0
0
0
0
0
8
8
0
0
0
16
8
8
8
8
1
0
63
9
8
1
16
16
2
6
2
2
0
1
16
8
8
8
0
0
0
1
1
1
8
0
4
24
16
16
16
16
8
8
2
0
16
1
32
32
0
0
0
0
16
16
16
0
0
0
0
0
32
0
2
2
2
0
0
8
8
8
0
0
8
8
8
8
25
25
0
0
0
0
0
0
0
16
1
4
1
8
16
16
2
8
8
16
24
24
9
0
0
0
8
1
1
1
1
0
2
16
8
8
48
4
0
0
8
18
0
0
0
8
8
8
8
8
8
0
0
1
4
4
17
17
0
0
0
8
0
0
0
16
0
1
0
8
7
16
16
16
16
16
16
8
0
32
0
0
0
0
2
16
16
0
0
0
16
16
0
0
16
0
0
0
16
16
16
16
16
16
0
0
0
0
0
0
40
40
32
1
16
0
0
0
0
16
16
16
16
16
8
8
8
8
16
40
40
36
0
24
4
0
0
8
8
8
1
0
0
0
25
16
32
32
0
0
0
16
16
0
0
0
1
1
1
16
0
16
1
1
1
8
8
0
0
0
8
0
16
0
0
2
1
1
8
0
4
4
4
16
16
32
4
4
1
2
2
2
2
16
16
16
16
16
0
0
0
0
8
8
16
2
0
0
0
4
16
16
0
4
4
4
4
4
8
0
0
0
0
0
0
2
0
8
16
16
0
0
0
8
16
7
16
0
0
0
1
1
4
4
4
4
4
4
0
0
0
0
1
0
0
16
16
1
1
1
0
32
8
0
0
0
8
8
8
16
16
2
2
0
0
4
6
0
16
0
0
0
0
17
8
8
0
0
0
8
8
16
2
8
2
2
1
8
8
0
0
0
0
16
16
16
16
16
0
0
0
0
0
16
1
1
0
4
33
8
8
0
0
4
4
4
4
4
4
4
8
8
0
0
0
16
16
8
1
0
8
8
0
0
0
14
0
0
0
16
36
1
0
0
0
8
0
0
0
2
2
32
0
0
8
0
0
0
0
4
8
8
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
20
20
0
16
8
0
8
0
0
16
0
0
0
0
0
0
0
0
8
0
0
16
8
0
0
0
8
0
1
25
4
0
0
0
0
0
0
16
8
16
0
16
16
8
8
8
0
16
2
2
12
0
0
0
0
0
0
0
2
2
2
0
6
6
8
10
41
32
32
0
0
8
2
2
2
1
8
32
40
40
40
40
0
16
16
16
0
16
0
0
24
0
0
16
2
2
2
2
8
8
8
8
0
0
0
16
1
4
4
8
8
12
12
16
0
0
0
16
0
0
0
0
0
8
8
16
0
8
0
8
8
8
8
8
18
0
17
17
0
0
0
0
0
0
0
24
24
16
16
16
8
8
0
0
0
32
8
0
0
8
8
0
0
0
0
16
8
8
24
0
0
0
8
24
2
2
4
8
8
0
0
0
0
0
0
8
0
8
1
1
8
8
0
0
0
0
0
0
32
32
32
0
1
20
8
0
0
0
0
0
0
0
16
16
16
16
1
1
16
8
8
4
4
4
4
8
10
10
10
0
0
0
0
0
8
0
0
0
16
8
0
2
0
0
24
24
2
1
16
16
16
0
16
4
1
8
8
2
8
16
9
9
9
8
8
8
8
8
0
0
0
0
0
0
1
1
1
8
16
16
2
10
10
0
0
0
0
0
0
0
16
56
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
20
0
34
1
0
8
8
8
8
12
12
12
8
8
8
8
8
8
8
8
8
16
1
0
0
4
0
0
16
16
16
8
0
0
16
8
8
2
2
2
0
16
16
16
0
2
0
0
0
16
8
8
0
0
1
1
0
48
48
48
8
8
8
8
8
8
0
4
0
0
2
2
2
4
4
8
16
16
0
16
16
16
16
16
16
1
17
16
16
32
0
16
0
0
8
1
8
8
0
0
5
5
1
8
0
8
16
16
1
1
8
0
4
4
4
4
4
16
1
1
1
4
12
0
4
4
0
0
0
16
16
16
0
20
0
16
17
8
8
2
1
8
16
16
1
1
0
8
8
24
24
8
2
2
4
4
4
8
2
2
16
16
16
16
16
16
16
0
0
0
2
16
16
16
16
8
0
0
0
8
16
8
8
16
16
0
26
0
0
0
0
0
0
0
32
0
0
0
8
8
0
8
2
2
0
0
0
0
8
0
24
16
0
8
18
0
0
0
0
0
16
16
0
0
32
8
8
0
8
8
1
0
0
16
0
0
0
0
8
8
8
8
8
5
8
1
1
1
1
1
1
16
8
8
8
0
0
0
1
1
1
0
0
0
0
0
16
0
0
0
8
25
8
8
8
8
0
24
16
0
0
8
0
0
0
0
0
0
0
0
0
0
16
16
4
1
1
8
8
8
0
0
0
16
16
16
16
16
16
8
8
4
23
16
0
0
0
0
0
16
16
8
0
11
0
0
1
1
1
0
0
12
8
0
0
0
4
8
8
0
0
0
0
17
32
32
20
20
0
4
8
32
8
0
16
0
0
16
8
8
2
0
16
0
16
34
0
16
32
16
0
8
16
16
16
16
16
0
9
0
8
0
0
0
0
0
0
4
4
4
4
4
0
0
0
0
0
0
0
21
0
16
0
0
16
16
16
16
0
0
0
8
8
0
0
16
0
0
0
0
0
0
0
8
8
8
16
16
16
0
0
0
0
52
52
0
0
4
8
56
0
8
8
28
28
28
28
16
2
2
2
17
8
8
16
16
16
16
8
8
2
4
0
0
22
22
0
0
0
16
24
0
0
0
0
16
0
0
8
0
0
2
8
16
32
0
0
26
4
16
8
0
1
1
0
8
16
16
0
0
0
0
8
8
8
8
8
4
4
0
8
8
8
8
0
0
16
16
0
0
0
0
8
8
8
8
16
16
0
0
0
0
18
18
0
0
8
8
8
8
8
0
0
0
0
8
0
0
0
8
8
16
12
16
8
0
0
0
2
0
0
8
8
8
8
8
8
8
8
8
8
8
8
24
8
8
8
8
8
8
16
32
32
32
32
32
0
4
4
4
13
0
0
32
20
20
2
0
20
0
0
0
0
0
0
0
10
10
0
0
0
1
0
0
0
0
0
8
0
24
0
0
32
0
0
0
0
0
24
5
5
0
0
0
8
0
0
0
0
0
0
6
6
4
4
1
0
0
0
8
8
0
12
12
0
0
8
16
0
0
0
0
0
0
0
0
8
8
8
0
0
0
16
24
2
0
1
0
0
0
0
16
20
0
0
0
1
1
1
0
24
0
0
2
2
1
28
0
0
0
0
0
0
1
1
1
0
0
0
0
16
16
16
0
0
16
16
16
16
16
16
16
1
0
16
16
16
24
0
0
8
8
0
0
12
1
1
17
17
8
8
16
1
0
0
16
16
0
8
16
0
0
0
16
16
16
16
16
16
16
16
16
16
16
16
16
16
0
8
57
57
57
57
1
16
24
24
24
24
0
1
1
0
2
4
4
4
4
4
24
8
8
8
0
0
1
1
1
0
0
0
0
0
0
16
1
1
2
0
16
16
8
16
3
0
0
16
1
1
0
0
0
0
24
0
0
4
0
11
11
56
1
32
0
0
0
4
4
0
0
0
0
9
8
8
8
8
0
4
4
0
16
16
0
0
0
0
8
0
0
0
0
0
0
16
0
0
0
0
1
12
16
16
0
0
16
16
0
16
16
0
0
0
8
0
16
0
0
0
2
0
0
8
8
1
1
1
8
16
8
8
16
16
16
8
8
0
0
0
0
8
0
0
0
8
12
0
0
8
8
0
8
0
0
8
8
4
4
4
16
16
4
0
0
0
1
0
2
2
2
0
8
0
0
0
17
17
0
0
0
4
4
0
16
16
0
0
0
0
0
0
0
4
0
0
4
4
0
0
0
0
0
16
4
0
16
0
0
8
2
2
8
0
0
8
16
0
8
16
16
16
16
16
8
8
8
8
0
28
16
8
8
8
16
0
8
1
1
1
1
0
8
8
8
0
0
0
0
0
0
9
9
9
9
0
16
2
2
2
2
2
32
16
16
16
16
17
4
4
4
8
8
0
1
8
0
0
0
0
0
4
4
4
2
8
8
8
0
0
58
8
8
2
1
1
42
8
8
8
8
8
8
0
16
0
0
0
0
8
8
16
16
0
0
2
0
0
16
16
16
8
60
8
0
20
0
0
0
0
24
24
0
8
4
0
0
0
0
0
4
16
16
18
0
0
8
4
2
2
2
0
8
2
0
0
0
0
0
24
16
8
4
0
0
8
0
0
0
0
16
4
4
16
16
0
0
0
0
16
16
0
16
0
0
2
8
8
16
4
8
0
16
0
8
0
8
0
0
0
0
0
0
0
16
16
16
0
4
4
4
0
1
1
1
1
0
0
0
6
0
0
8
16
16
0
28
16
1
0
0
0
0
4
16
16
4
4
16
16
0
4
4
0
18
18
0
0
4
32
28
8
8
8
0
0
0
0
0
0
0
4
0
8
1
1
0
1
1
0
4
4
4
16
16
16
16
0
16
16
8
0
0
16
16
16
16
16
16
16
0
0
8
8
8
4
16
0
0
0
0
8
4
49
8
8
0
0
15
15
4
16
0
0
16
16
16
16
2
0
8
0
16
8
0
0
6
6
8
2
2
8
0
0
29
16
16
8
24
24
24
0
24
24
0
16
16
4
4
4
5
17
17
4
16
16
16
16
16
8
0
0
16
0
28
28
28
0
0
0
0
0
0
0
16
16
0
0
0
1
1
1
1
0
0
16
16
16
2
2
2
8
8
0
16
16
20
20
16
0
32
32
32
16
16
0
1
1
1
1
16
4
4
16
0
2
16
2
2
2
8
8
8
8
8
16
0
0
0
0
0
0
0
8
8
1
4
16
2
16
1
1
1
16
16
0
2
16
16
4
2
0
0
8
8
0
16
0
16
0
0
16
16
2
0
0
1
0
0
0
0
0
48
48
8
8
16
16
0
0
8
8
8
8
0
0
4
4
4
0
0
0
8
0
4
2
2
16
0
0
0
8
8
8
16
16
16
16
16
16
16
0
0
8
8
8
18
16
16
8
0
8
0
0
16
16
0
0
8
0
8
1
1
1
0
0
32
1
0
0
8
8
0
8
8
1
9
0
0
16
16
4
16
0
0
0
4
36
16
8
8
8
8
0
0
16
0
0
0
0
24
8
8
0
22
4
4
17
0
0
0
6
6
16
16
16
16
16
48
0
0
16
16
16
4
1
16
0
0
8
0
8
16
16
16
16
16
16
0
0
2
8
8
8
16
16
0
0
1
1
8
0
16
16
16
20
20
20
0
16
8
1
8
8
0
0
33
0
0
0
0
0
8
8
8
8
24
2
0
0
0
16
16
0
1
1
1
8
0
0
0
0
8
0
0
0
8
1
1
1
1
0
16
16
4
16
4
47
0
0
0
0
0
0
0
4
4
4
4
21
1
0
0
16
16
16
8
0
0
0
12
8
8
1
8
0
4
4
4
0
0
0
2
0
0
8
16
48
4
4
0
16
8
8
16
8
8
16
0
8
32
32
1
0
0
0
0
0
16
0
0
0
1
1
0
0
0
24
8
0
4
0
0
0
0
4
4
16
16
16
22
0
4
16
0
1
1
1
8
0
4
1
1
1
8
8
0
0
0
0
0
4
24
0
0
16
24
2
8
8
8
8
8
20
20
4
4
17
17
0
2
2
2
8
8
8
8
8
0
0
8
16
16
16
0
0
8
24
16
0
0
24
0
4
4
4
16
16
12
8
2
2
16
4
32
0
0
0
0
8
0
8
8
8
0
0
0
0
8
1
1
0
0
0
0
0
0
16
0
0
0
2
0
0
16
0
17
17
24
8
8
0
0
16
6
0
0
3
3
3
0
0
2
2
2
0
0
0
0
8
10
8
8
8
0
8
4
4
0
32
8
8
8
8
8
8
8
16
8
8
16
33
16
16
16
0
0
4
4
4
0
8
8
8
0
0
0
8
0
0
1
8
8
16
24
16
16
8
0
16
16
4
48
32
0
0
0
0
20
0
4
0
0
0
0
16
4
4
4
0
0
0
0
0
0
0
0
4
8
9
8
8
0
0
0
16
16
16
16
33
16
1
0
0
0
0
32
8
0
0
1
1
1
8
32
0
0
4
2
16
20
20
20
0
1
2
0
0
0
12
0
16
8
0
0
0
0
0
0
0
8
16
16
0
1
0
0
0
0
0
0
18
18
0
24
8
57
57
57
2
8
0
12
8
33
16
16
0
20
1
1
0
0
8
0
0
8
0
0
0
0
0
10
0
32
16
16
4
4
4
4
4
0
16
16
0
8
16
16
8
32
32
8
8
4
0
0
0
1
1
1
0
18
8
8
4
0
0
0
0
0
8
0
16
16
16
16
16
16
0
0
1
1
1
33
0
32
0
8
8
8
4
4
4
4
0
0
8
0
16
16
16
4
24
4
1
0
0
16
8
0
0
0
0
0
0
0
16
16
0
0
0
0
0
8
16
16
16
20
8
0
0
0
0
0
0
8
4
4
0
0
0
0
0
0
0
0
0
0
24
16
16
0
0
16
0
8
8
9
16
2
2
0
16
9
16
0
0
2
2
4
9
0
0
0
8
8
16
16
1
2
0
0
0
0
0
0
0
0
16
0
0
0
1
0
8
8
8
8
0
0
0
0
0
16
24
16
16
0
0
0
0
2
8
0
16
0
8
8
16
8
2
0
0
0
8
0
0
8
8
8
8
8
8
0
0
0
0
0
1
0
0
8
0
0
0
1
8
0
0
0
8
0
8
8
8
0
0
22
22
22
0
1
1
0
0
8
8
8
24
36
24
24
24
0
8
16
8
16
2
2
16
8
8
16
16
8
0
0
0
0
8
8
8
8
8
0
0
24
24
20
0
0
0
0
0
16
4
4
32
4
0
2
1
1
16
16
8
8
0
8
8
8
0
4
0
0
0
0
0
0
0
0
0
8
4
4
0
16
2
2
2
8
8
8
16
16
0
8
0
12
0
9
9
9
8
0
0
0
16
8
1
2
0
0
0
0
3
1
1
16
16
8
0
0
0
16
32
8
8
12
12
16
16
16
16
16
0
0
24
8
16
12
32
9
9
0
18
16
16
16
56
0
0
0
0
0
16
16
16
16
16
16
8
4
16
16
16
0
0
16
16
16
8
0
16
16
16
9
9
1
4
0
32
32
0
0
0
8
8
8
8
8
8
8
8
8
8
0
16
8
16
0
0
8
16
16
16
0
6
3
24
0
0
0
0
0
0
0
16
16
16
24
4
16
16
8
8
0
0
0
0
16
16
16
16
0
0
13
13
13
13
4
24
4
4
8
8
0
0
1
16
16
0
1
1
1
0
0
0
0
8
1
1
4
4
0
0
32
32
0
1
0
0
0
0
0
0
0
4
4
16
16
16
0
8
8
8
16
2
1
4
0
4
8
0
0
8
0
0
0
0
0
16
16
16
0
16
16
8
0
0
24
0
0
0
0
8
8
8
16
16
32
32
0
0
12
12
12
0
32
24
24
16
8
8
8
8
8
8
1
1
4
1
1
8
0
0
0
8
0
4
4
4
0
0
8
0
8
8
0
0
1
8
8
16
8
16
16
4
4
2
2
16
16
0
16
8
0
0
8
16
16
16
8
21
8
8
16
0
0
0
1
1
8
8
20
16
0
0
8
16
16
16
1
0
16
8
8
4
4
4
4
4
4
0
0
0
0
0
0
0
0
0
16
1
0
0
0
0
8
4
8
8
8
8
0
0
0
4
4
4
4
24
16
0
0
0
0
0
51
51
8
4
4
8
8
8
0
0
0
0
8
2
16
16
0
0
0
0
0
0
16
1
1
16
0
8
8
8
8
1
1
0
0
0
16
16
16
1
1
12
2
2
0
0
0
0
0
8
8
0
14
8
16
8
8
8
4
4
8
8
8
8
8
16
0
0
0
0
16
16
16
0
8
4
4
0
0
0
6
8
16
8
4
4
0
8
8
0
8
1
1
1
1
0
0
0
0
4
16
1
1
16
16
0
24
24
24
32
8
8
0
0
4
0
8
8
8
1
60
60
12
12
32
0
16
16
1
1
0
0
0
0
0
0
0
0
0
0
0
2
16
0
24
0
32
0
0
0
33
33
33
33
0
16
16
1
25
2
2
4
2
8
1
0
0
0
28
1
0
16
0
0
0
2
0
1
8
8
4
4
4
4
0
20
8
8
20
0
0
2
2
0
0
16
16
16
2
2
16
0
8
0
8
8
8
2
2
10
0
0
4
4
0
16
0
8
8
4
0
0
16
16
16
0
0
0
16
16
16
16
0
16
0
34
0
0
20
1
0
8
0
0
0
0
0
0
0
0
0
16
32
16
8
20
20
16
16
16
4
1
2
2
2
2
2
0
0
0
0
0
24
8
8
8
8
0
0
20
4
16
16
16
16
16
0
32
1
1
16
19
19
8
8
8
8
16
16
2
16
16
16
16
16
8
18
0
0
0
0
8
0
4
0
0
0
2
2
2
2
2
24
0
0
0
8
0
8
8
8
0
0
0
0
4
0
0
16
0
16
1
0
0
0
11
11
0
16
16
8
16
2
2
2
0
0
0
0
16
2
2
0
8
24
24
4
16
24
24
0
0
0
0
8
16
2
16
0
8
8
8
8
8
0
0
0
8
8
0
20
0
16
52
0
0
8
16
0
4
0
0
0
0
8
8
0
0
1
0
8
8
33
33
33
2
1
0
8
0
4
32
32
32
32
32
32
4
0
8
16
2
2
0
12
8
0
0
0
0
0
0
0
0
18
0
0
0
0
1
1
16
0
8
0
0
24
24
2
56
4
4
4
0
0
0
8
16
8
8
11
16
0
8
8
8
8
2
16
2
0
0
0
4
0
0
8
20
20
1
0
0
0
0
4
4
40
40
32
0
0
0
0
0
0
0
8
8
0
4
4
4
4
4
4
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
4
0
8
2
2
2
0
0
0
16
5
0
8
16
8
18
9
0
0
8
8
0
2
2
2
2
4
8
8
0
0
0
24
24
24
8
0
0
8
16
0
0
0
0
0
12
6
6
0
16
2
0
2
4
8
8
8
8
0
0
1
8
0
0
0
0
0
0
8
8
32
4
0
0
0
16
8
0
0
24
0
16
0
0
1
8
17
16
16
16
16
0
0
0
0
0
0
16
0
28
8
8
16
0
8
16
1
0
0
0
16
56
20
8
8
0
0
16
16
8
0
0
0
0
16
0
40
0
4
4
0
0
0
0
0
40
40
8
24
0
8
0
8
24
8
16
0
0
0
0
16
8
0
0
0
2
32
1
8
28
0
0
8
8
8
8
26
1
8
16
16
16
8
8
16
16
16
16
4
4
32
0
0
8
20
0
16
16
16
0
0
2
2
16
16
0
0
16
0
0
16
0
0
0
1
0
0
20
12
12
0
0
0
25
0
1
2
2
0
0
0
4
4
4
4
0
20
0
0
8
16
16
16
8
0
0
16
16
16
16
16
0
8
16
16
16
0
16
16
16
0
1
1
0
0
0
16
16
8
8
8
8
0
0
0
0
0
0
24
1
18
18
0
6
6
0
8
0
16
0
0
0
8
8
0
0
8
0
16
0
16
0
0
0
8
4
4
4
1
1
1
1
8
1
1
0
0
0
0
4
5
16
0
0
16
16
8
8
8
0
17
4
16
8
8
8
8
8
8
16
0
0
0
0
0
16
16
0
4
8
8
32
32
32
0
16
16
4
4
0
0
0
0
8
0
8
4
0
0
0
0
16
0
2
9
0
0
0
32
0
16
16
16
16
16
16
16
0
0
0
8
8
8
8
8
8
8
8
8
8
16
1
0
0
1
18
0
8
1
0
0
0
30
0
0
8
8
0
0
0
8
20
20
0
16
24
0
8
8
0
0
4
8
8
8
8
16
0
8
8
0
0
0
0
8
16
0
0
8
8
8
0
24
0
0
0
0
0
4
48
16
24
0
0
16
16
16
0
0
10
10
10
0
0
16
8
8
24
32
0
1
1
2
0
0
1
1
1
1
8
0
16
4
0
0
0
16
0
0
0
0
0
8
8
16
16
18
18
0
4
0
16
0
2
2
0
0
8
8
16
0
24
8
8
8
57
0
1
1
0
20
1
0
0
0
0
0
0
49
49
0
1
8
8
8
8
0
8
40
0
0
0
0
8
0
16
16
0
20
0
8
0
0
0
48
0
8
0
0
0
8
0
0
2
1
1
1
1
1
1
1
16
4
4
5
0
8
8
8
8
8
0
8
8
0
0
8
32
0
0
0
0
0
0
0
0
16
4
4
4
16
2
16
1
1
32
32
32
32
8
4
4
4
0
8
4
9
16
16
16
16
16
4
4
1
24
1
1
1
0
16
8
8
0
0
0
4
6
0
16
16
16
0
0
0
8
8
8
8
8
8
8
8
8
1
0
0
0
0
0
0
2
0
0
16
0
0
0
0
0
8
60
8
8
4
4
16
16
2
0
16
8
0
8
0
8
8
0
16
8
16
0
0
0
8
8
48
8
1
0
16
0
17
17
17
17
0
0
4
4
4
4
0
8
0
0
0
0
0
8
16
5
5
5
0
0
0
0
0
0
0
1
0
0
9
9
3
0
0
2
0
16
16
8
16
16
16
0
0
0
0
0
16
0
0
0
1
0
0
0
0
0
0
1
1
2
8
0
0
0
1
1
8
0
0
0
0
16
4
4
8
0
0
4
4
16
16
16
8
22
0
0
32
8
8
0
16
16
16
16
8
8
0
0
12
4
0
0
2
2
32
8
8
8
24
24
24
1
24
16
4
0
0
0
1
1
2
2
8
8
8
0
8
8
0
0
1
8
8
8
8
4
1
4
4
4
4
4
4
4
4
4
16
4
8
24
0
2
8
8
8
8
8
8
8
8
8
4
4
4
4
0
0
0
16
0
0
0
2
4
4
4
4
4
4
4
4
4
4
0
16
0
0
2
2
8
8
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
2
16
8
0
8
8
8
8
0
0
0
0
8
0
0
16
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
8
8
8
8
0
4
4
0
0
0
0
0
0
8
16
0
0
4
4
0
0
0
10
0
0
0
0
0
0
0
8
16
4
4
4
0
0
16
0
0
0
0
0
0
0
0
1
0
0
0
2
0
0
0
0
2
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
12
1
16
16
1
0
0
0
0
0
0
0
0
0
0
1
2
0
0
0
0
0
24
8
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
8
4
0
0
0
0
0
0
0
0
0
0
0
16
0
8
0
0
0
8
0
0
0
1
8
1
1
0
0
4
2
0
3
0
0
0
16
32
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
4
4
4
0
8
8
0
16
0
0
0
0
0
8
0
16
32
0
0
1
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
16
0
0
0
0
1
0
0
8
4
2
2
0
0
0
1
0
0
6
0
8
18
0
0
2
0
0
0
8
1
0
0
0
0
0
0
0
0
0
16
0
0
0
8
4
0
0
0
0
0
0
0
12
0
32
0
16
0
0
1
0
0
0
0
0
0
8
8
0
14
14
0
0
0
0
14
14
0
16
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
8
0
0
8
0
0
0
0
1
1
0
12
0
0
0
0
0
8
0
0
0
16
8
8
8
8
8
8
8
0
0
0
0
2
0
0
0
8
18
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
8
0
0
1
1
1
8
8
0
8
8
8
8
8
16
16
16
20
0
0
16
8
0
24
0
0
8
16
0
8
4
0
16
16
0
2
0
0
0
0
0
9
9
0
16
8
0
16
16
0
0
0
16
0
0
0
0
16
0
0
0
2
1
1
0
0
0
4
4
0
0
16
0
8
0
0
10
2
2
2
2
0
2
8
0
0
0
0
0
0
56
0
0
2
2
0
0
0
0
8
16
0
0
0
0
0
0
2
2
8
8
0
16
4
0
0
16
0
8
0
16
0
0
16
16
2
0
0
0
0
0
0
0
0
4
4
8
8
0
10
8
8
8
24
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
8
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
8
8
8
0
3
0
0
0
8
0
8
8
8
0
0
0
8
0
2
8
8
0
0
0
1
32
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
1
1
1
0
0
0
4
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
0
8
16
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
16
17
0
16
0
0
0
0
8
0
8
4
22
0
0
17
0
2
8
0
0
0
4
0
25
25
0
0
0
16
0
0
0
0
0
0
0
16
0
4
0
0
0
2
2
29
0
0
16
16
16
5
8
0
0
0
0
0
8
0
0
0
0
0
0
8
8
0
16
16
0
10
16
0
0
0
0
0
32
32
32
6
0
0
16
16
0
0
8
0
0
0
0
4
4
0
0
1
20
0
0
0
0
16
0
1
4
0
33
16
16
0
0
4
0
0
0
0
0
0
0
4
0
0
5
0
0
2
0
0
0
8
0
0
19
0
0
0
1
0
4
4
0
0
24
8
0
0
0
0
8
0
0
0
0
8
0
0
0
0
0
1
2
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
8
29
0
8
8
0
0
2
2
2
0
4
4
8
16
0
0
0
0
4
0
8
8
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
17
0
0
16
19
19
19
0
0
0
0
0
0
0
0
0
0
0
0
4
16
16
16
16
16
8
0
0
0
8
8
58
16
0
0
0
0
0
0
0
0
8
0
1
24
0
8
0
0
0
26
4
0
0
0
0
0
4
0
0
16
8
0
0
0
0
4
0
0
9
0
0
0
0
0
2
16
4
0
0
0
0
0
0
0
0
0
0
16
16
8
0
0
8
0
0
16
16
0
0
0
25
25
24
0
8
24
0
0
0
0
0
8
0
8
4
23
4
4
4
0
0
26
8
8
8
0
0
0
0
0
0
0
0
0
0
2
0
0
2
0
0
0
0
0
0
0
0
16
16
0
6
0
16
16
8
0
0
8
8
8
24
24
0
0
16
0
0
0
0
0
0
0
4
0
0
0
0
0
0
4
0
8
16
0
0
24
0
0
0
8
8
12
0
0
2
36
1
5
1
16
16
16
16
16
1
1
1
19
19
19
19
8
0
8
0
8
8
8
8
0
0
8
0
0
0
8
0
0
8
2
0
0
0
0
0
16
4
0
0
0
0
6
0
0
16
0
0
10
0
0
0
0
1
1
0
0
0
0
0
8
1
1
0
2
0
0
7
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
4
0
4
0
0
16
0
0
0
0
16
8
8
8
0
0
0
0
0
0
20
20
0
0
16
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
8
8
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
24
2
0
2
2
1
0
0
0
0
0
0
0
8
0
0
0
1
0
16
0
8
0
0
0
0
0
2
0
0
0
0
0
0
4
4
4
1
1
0
8
8
0
0
0
0
16
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
16
0
0
0
0
52
1
1
0
0
0
0
0
0
8
0
0
0
0
0
0
0
12
0
2
0
0
0
0
0
0
13
0
0
1
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
2
0
0
0
0
25
0
0
8
0
0
0
0
0
0
0
0
0
8
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
18
18
0
0
0
0
24
0
0
4
0
0
0
8
8
8
8
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
8
8
0
8
8
8
0
0
8
4
8
2
0
8
0
8
0
0
0
0
0
0
0
0
0
0
0
0
4
16
0
22
0
0
0
0
4
16
4
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
8
0
0
0
0
0
0
0
0
8
0
0
16
0
0
0
0
0
0
0
0
4
0
8
16
0
0
0
16
8
8
0
16
16
16
26
26
26
0
0
16
16
16
16
0
4
0
0
0
16
16
0
0
20
20
0
0
0
0
8
28
0
0
0
8
8
4
4
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
8
2
2
0
0
0
0
0
8
0
0
36
8
8
0
0
8
0
0
0
0
0
0
0
0
0
0
8
1
1
1
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
8
0
8
8
0
0
8
16
16
16
8
0
0
0
0
0
0
16
8
3
0
0
0
0
0
0
0
0
0
2
0
4
0
0
0
0
0
25
25
0
0
0
0
0
4
0
33
0
1
1
0
0
8
0
0
0
0
1
1
0
0
2
0
0
0
0
8
8
0
0
1
0
0
0
1
0
2
0
0
0
8
8
0
8
0
0
0
0
0
2
4
4
0
0
0
0
0
0
8
0
0
0
4
0
8
0
16
0
0
0
0
0
0
0
0
4
4
4
4
4
4
4
4
4
0
0
0
0
0
0
0
8
8
16
16
0
8
8
8
16
0
0
12
0
4
0
0
0
16
4
16
16
0
4
0
0
0
0
16
8
16
0
0
0
0
0
1
0
8
0
0
10
10
8
0
0
16
0
0
0
0
4
4
8
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
18
1
1
1
0
0
0
0
0
4
0
8
0
0
0
4
16
0
0
0
0
0
32
0
0
0
0
0
0
16
0
0
0
0
0
0
0
24
8
0
0
0
4
4
8
8
0
0
0
16
0
0
12
22
0
4
4
4
0
0
0
0
0
0
16
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
16
16
32
8
8
0
0
0
0
0
0
16
0
0
0
8
0
0
0
0
0
0
0
0
0
0
2
4
0
0
0
2
0
16
0
0
0
8
8
0
0
0
0
0
0
0
8
0
0
0
0
16
0
8
8
0
0
0
0
1
2
1
0
0
0
0
0
0
0
0
0
0
8
0
1
8
8
0
16
8
8
0
0
0
16
0
0
8
16
16
16
18
0
0
16
16
8
8
0
0
2
4
0
8
8
0
0
6
6
6
0
0
8
8
0
32
32
0
0
8
8
4
0
4
0
0
0
0
0
16
35
35
24
16
0
17
9
8
0
0
0
0
0
0
0
0
16
0
8
8
0
0
1
0
0
0
0
0
0
8
3
16
0
8
8
8
0
0
1
0
8
8
8
8
8
8
0
8
24
4
24
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
16
16
8
8
8
8
0
16
0
0
0
0
0
9
8
0
0
1
16
16
16
0
16
8
1
8
8
0
0
0
0
0
0
16
0
0
0
0
16
0
8
8
18
18
18
0
2
0
0
0
0
0
18
0
0
0
0
4
0
8
18
8
8
0
0
0
0
0
0
0
24
24
0
0
0
0
0
16
0
0
0
0
0
8
16
16
16
16
8
8
8
8
0
0
5
5
16
0
2
0
0
0
0
16
0
1
0
0
8
8
16
16
8
0
0
0
0
8
4
0
0
8
0
8
8
16
0
8
8
0
4
16
0
0
16
0
0
4
24
0
0
16
0
0
0
0
0
0
0
1
8
8
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
24
24
0
0
0
0
0
0
24
0
0
0
0
0
0
0
0
0
4
0
16
0
0
5
8
8
2
0
0
0
0
16
0
0
0
24
0
0
0
0
8
8
8
16
16
0
4
4
0
1
8
0
0
0
16
0
0
0
0
16
0
0
0
0
0
0
4
0
0
0
0
16
0
0
0
0
0
0
8
8
8
10
0
0
0
0
20
8
8
8
0
0
0
24
0
0
0
0
0
8
0
0
0
0
0
0
0
8
8
16
0
16
8
0
6
6
8
8
0
8
8
0
4
10
10
10
0
16
8
0
0
2
2
8
0
4
56
56
0
0
0
0
8
0
0
0
0
0
0
0
0
0
8
0
16
0
0
16
0
2
2
8
8
8
0
2
0
0
8
8
8
40
0
0
0
20
8
8
8
0
0
8
8
8
18
1
1
1
0
0
0
0
0
16
0
0
0
0
1
0
26
0
0
0
16
3
2
2
8
0
0
0
16
0
0
0
0
0
0
1
4
0
4
8
0
0
8
16
0
59
8
0
8
8
8
0
0
0
0
0
1
8
0
0
0
1
0
0
0
0
0
0
27
16
8
0
4
0
0
8
1
0
0
0
0
1
8
8
0
0
0
16
0
0
0
0
0
4
4
4
0
0
8
8
8
8
8
0
0
0
16
16
0
16
16
0
0
8
0
16
0
16
0
0
0
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
0
0
0
0
0
1
0
0
0
0
0
0
8
0
0
0
0
1
0
0
1
4
8
8
8
0
8
8
4
0
0
0
8
0
0
16
0
0
0
16
8
4
8
4
0
0
0
16
20
49
1
16
2
4
0
8
0
0
0
0
16
16
16
8
0
8
2
0
0
16
16
16
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
4
0
4
2
1
0
0
0
0
0
28
8
8
0
0
0
0
0
0
27
0
0
0
1
0
0
8
8
8
13
8
8
0
8
0
0
8
1
0
24
24
0
0
0
0
0
0
0
0
0
8
0
14
14
14
0
8
0
0
0
0
17
16
0
16
16
8
32
8
16
32
0
8
0
61
0
0
0
0
0
8
8
0
20
8
0
25
2
2
0
0
20
0
0
0
0
8
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
43
43
43
0
0
0
0
0
0
0
16
0
0
0
0
0
8
24
1
0
8
0
6
0
0
0
0
0
16
0
0
0
16
16
16
0
0
0
0
52
0
0
0
2
8
1
0
0
0
0
0
0
0
0
0
10
0
10
0
0
0
0
0
0
0
0
0
0
8
0
0
0
7
16
16
16
0
4
20
20
0
0
0
8
4
0
0
0
0
0
4
4
1
0
0
16
0
0
0
0
0
16
0
0
9
9
9
25
16
0
0
8
8
8
0
0
0
0
0
0
0
16
0
16
16
8
8
0
12
12
8
8
0
0
0
16
8
0
0
0
1
1
1
16
0
0
0
4
16
0
0
0
8
0
0
0
0
0
0
0
0
8
8
8
8
0
0
0
0
0
0
0
0
0
8
0
2
0
0
0
0
0
0
0
1
0
0
32
8
8
0
4
8
8
8
8
10
0
0
0
0
0
0
8
8
0
0
0
26
0
1
0
0
8
8
0
0
1
0
8
0
16
16
0
0
16
16
16
0
0
0
0
0
0
0
0
8
8
0
16
48
0
0
0
0
8
8
0
0
0
4
2
2
6
17
17
9
16
0
0
8
16
4
24
24
24
24
24
24
24
24
0
0
4
0
0
8
6
4
0
0
0
0
0
0
0
1
0
0
0
0
8
0
4
0
8
8
8
8
8
0
8
8
0
8
0
32
32
8
0
8
8
16
16
4
4
4
0
8
0
4
0
0
16
2
2
2
2
4
0
0
0
0
8
10
1
1
16
4
4
4
4
0
4
0
33
16
0
0
0
8
0
8
0
0
0
0
8
8
8
8
0
0
0
8
4
0
16
16
0
0
30
8
0
16
16
4
16
16
4
8
0
0
8
25
0
0
8
0
4
0
0
0
24
16
17
8
8
0
40
0
0
0
8
8
0
8
0
0
1
0
16
0
0
8
0
0
0
0
0
8
0
0
16
16
0
16
2
34
0
0
0
0
0
8
8
16
32
1
0
0
25
0
2
0
0
0
4
0
0
0
0
8
4
0
4
4
0
6
0
0
0
16
2
0
0
0
0
0
0
24
17
8
5
0
0
16
0
0
0
32
2
24
20
20
20
8
8
8
0
17
1
1
17
0
2
8
8
0
0
0
8
0
0
0
16
0
0
0
16
16
8
0
0
0
0
0
0
0
0
8
24
0
0
0
0
0
0
8
4
4
0
8
8
0
0
8
8
8
8
8
0
0
10
10
0
0
8
8
8
8
0
1
0
0
0
0
0
1
0
0
1
1
0
10
10
10
16
0
0
16
8
1
1
1
0
0
0
8
0
0
0
0
8
0
0
8
8
8
16
0
8
0
0
0
8
1
8
0
0
16
0
0
0
0
0
0
16
8
6
6
16
0
4
18
0
8
8
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
16
16
0
0
16
16
16
16
0
0
0
0
0
0
0
0
0
8
8
8
8
8
8
0
0
0
16
4
0
0
16
16
0
0
8
32
32
2
4
8
8
0
0
0
18
16
0
0
0
8
0
8
8
4
0
0
0
0
0
16
1
25
4
0
0
16
0
24
24
24
0
8
0
1
2
0
8
0
0
0
16
0
37
37
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
2
8
20
20
20
16
0
0
2
0
0
0
0
2
2
16
0
0
0
0
0
8
8
8
0
0
0
0
0
8
0
0
16
0
16
0
0
0
0
2
0
0
0
3
0
0
0
0
8
8
0
16
6
2
52
52
0
0
0
0
0
0
0
0
16
16
0
4
16
18
0
0
0
16
0
0
0
1
0
8
0
0
0
18
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
2
0
0
0
16
16
0
0
0
0
0
33
4
0
1
1
1
8
8
8
8
0
0
0
49
0
0
4
16
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
8
0
0
0
0
32
2
2
2
8
0
0
0
16
0
16
16
16
0
8
8
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
8
0
0
8
0
0
0
0
20
16
8
0
0
4
0
8
8
8
8
15
0
1
16
16
16
0
0
0
0
16
8
0
16
0
0
0
0
0
27
0
8
0
0
0
0
32
32
0
8
8
8
16
2
0
8
0
0
0
0
0
0
0
0
0
0
2
16
16
0
0
0
8
16
0
0
0
0
8
8
16
0
1
18
2
2
0
2
0
2
8
0
0
24
0
0
1
1
0
0
0
0
0
4
0
0
0
22
8
0
0
0
0
12
24
0
0
0
0
32
0
8
0
0
0
0
1
1
16
16
16
0
0
8
8
8
0
0
0
0
0
16
16
10
0
0
0
16
16
0
0
0
0
0
0
0
4
0
8
8
0
0
18
0
8
0
16
8
0
0
0
0
0
0
2
2
8
8
0
0
24
20
0
0
8
8
8
8
0
0
0
8
8
0
0
2
2
0
0
24
8
16
0
2
24
0
0
0
0
0
0
0
0
8
24
4
0
16
0
8
8
0
8
8
0
0
0
0
4
0
0
0
6
16
8
20
0
0
24
8
0
1
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
0
0
0
3
3
0
0
0
9
0
8
8
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
2
0
0
0
0
0
8
8
0
0
0
49
0
0
0
8
0
8
8
4
16
16
16
8
4
0
0
0
4
0
16
0
0
0
16
0
0
0
16
0
0
0
0
0
1
1
0
0
16
2
2
2
8
8
0
10
0
2
0
16
0
0
4
20
0
12
12
0
0
8
8
2
0
0
16
16
8
8
8
0
0
16
0
0
0
1
0
0
0
4
0
2
16
16
0
0
0
8
8
16
0
0
0
0
0
0
0
0
17
17
0
0
0
20
0
0
0
0
20
20
8
4
4
0
0
0
0
0
0
0
8
0
0
0
0
0
17
8
8
8
16
16
8
8
0
0
12
12
12
0
32
8
0
8
0
0
0
0
0
24
0
0
8
8
0
0
2
2
0
0
0
19
19
8
2
0
0
0
0
0
0
0
16
0
0
0
0
9
16
8
0
0
0
32
32
32
32
0
0
8
8
0
0
0
8
0
0
32
0
0
1
1
1
0
8
0
0
8
0
8
8
0
32
0
1
1
0
0
0
0
0
0
8
8
8
0
0
8
0
0
8
1
0
1
8
0
0
8
24
24
0
0
0
0
0
1
1
0
0
0
8
0
0
44
12
12
8
8
8
0
0
0
0
1
0
0
8
0
0
4
4
4
4
8
16
0
32
2
0
2
8
4
4
4
0
16
16
0
19
28
28
0
0
0
8
0
0
16
0
0
8
8
0
0
16
32
32
0
0
0
0
0
0
0
0
17
0
0
0
0
1
1
8
0
0
4
4
4
8
16
16
16
0
0
0
0
0
1
18
25
25
25
25
25
25
0
0
8
0
0
8
18
2
8
0
0
0
4
4
4
0
1
0
8
8
0
8
0
8
8
4
8
8
0
0
2
0
0
0
8
20
0
0
24
20
20
0
8
8
0
0
8
0
16
24
16
16
8
24
8
0
0
19
0
0
0
0
0
8
8
0
2
8
8
16
0
0
0
0
1
1
1
1
8
8
8
1
8
4
16
4
20
0
0
16
0
2
0
8
0
0
0
0
0
0
0
8
2
2
0
2
2
0
0
1
0
0
0
4
0
24
0
0
8
0
0
4
0
0
16
8
0
0
16
0
4
4
8
0
0
0
16
16
16
8
8
16
8
8
0
0
0
16
8
0
0
0
0
0
8
8
0
0
0
8
0
0
8
8
8
8
8
0
24
8
0
0
0
0
0
0
0
0
0
8
8
0
0
2
16
16
8
0
0
8
0
0
0
0
4
0
0
16
16
1
0
0
16
0
0
0
0
8
0
0
0
0
8
8
0
1
8
24
0
0
0
0
32
32
0
0
0
0
8
16
0
0
16
0
16
0
48
0
8
8
8
8
0
0
0
8
8
8
0
6
21
4
16
8
16
0
0
0
17
0
21
0
16
16
0
0
0
8
4
8
8
8
0
12
8
0
26
0
0
9
9
16
25
0
25
1
1
4
4
1
0
0
0
8
0
0
24
0
0
0
16
1
1
0
1
0
0
0
0
2
17
16
0
0
16
16
0
0
0
2
8
8
16
16
16
32
0
0
4
0
0
16
0
0
0
0
0
0
16
16
8
16
8
0
0
1
8
0
0
0
0
0
0
0
16
16
16
20
20
0
0
8
8
0
0
0
0
0
0
16
4
20
0
0
16
0
0
4
0
16
11
0
0
0
0
0
16
0
0
0
0
8
0
0
0
0
0
4
0
0
0
0
0
0
8
16
0
8
19
16
0
16
16
0
0
0
0
0
0
0
0
8
2
2
12
0
16
0
8
4
0
20
20
0
0
8
8
1
1
1
1
16
16
0
0
4
0
0
0
0
0
0
4
4
4
4
4
0
16
0
0
0
0
16
0
0
8
8
8
16
0
0
0
0
16
0
0
16
2
0
0
0
0
0
0
0
0
0
0
0
56
56
56
1
1
8
4
0
8
0
0
16
0
16
16
8
8
8
16
0
0
0
0
16
8
16
16
16
0
20
20
20
16
0
8
8
8
8
8
8
0
4
4
8
0
4
16
8
3
3
16
16
16
0
0
12
0
0
18
0
0
24
0
60
1
8
0
0
0
0
0
0
0
8
8
0
17
24
0
0
0
0
8
24
16
16
0
4
32
32
32
0
24
8
8
8
0
16
0
8
0
8
0
0
16
32
8
0
0
16
8
1
8
0
8
8
8
12
8
8
4
4
1
1
0
8
0
0
0
0
0
18
0
0
0
8
0
0
0
0
2
16
0
0
1
0
0
8
24
8
4
8
8
0
1
16
8
0
0
0
0
0
0
0
8
4
8
8
16
0
1
16
2
2
8
16
0
0
0
0
0
16
8
0
8
0
0
44
0
0
0
4
4
0
0
0
0
52
1
0
4
1
1
0
0
8
8
8
0
0
0
0
16
0
0
0
0
0
0
8
0
32
32
32
0
0
0
0
16
16
16
4
1
8
0
16
16
8
0
8
8
0
8
8
4
4
4
0
0
0
0
0
1
0
0
2
0
1
1
0
0
16
16
16
0
8
0
4
4
0
8
8
0
0
9
0
0
0
8
8
1
8
0
24
8
0
0
0
0
0
8
0
0
8
4
8
8
8
8
8
0
0
48
0
0
0
0
24
24
8
0
12
16
7
0
0
24
17
17
0
0
0
0
0
0
0
0
32
8
8
8
20
0
8
0
0
0
0
2
8
8
0
0
16
8
16
0
8
8
0
0
16
16
2
2
0
16
0
0
0
1
21
0
0
0
0
8
4
20
0
8
0
16
0
0
2
0
0
4
8
8
0
0
0
0
0
0
16
8
48
48
48
48
48
16
16
16
17
0
13
0
0
2
8
0
0
0
0
8
16
0
0
0
0
4
0
2
8
0
0
16
16
0
0
0
0
0
16
0
0
1
1
0
0
0
0
0
0
32
0
0
0
0
0
0
13
13
8
0
19
0
0
2
2
12
12
4
4
4
0
0
5
0
4
8
8
8
0
0
0
2
0
8
0
20
0
0
0
0
8
8
0
0
0
0
0
0
0
0
8
0
0
16
16
0
0
0
16
16
0
0
0
0
0
8
25
16
0
8
8
0
0
4
16
0
0
2
2
2
8
4
4
1
0
0
0
8
0
0
32
4
0
0
0
2
0
0
24
0
0
0
0
0
2
0
0
16
0
8
16
16
0
0
0
0
0
0
0
0
0
0
0
8
0
1
16
16
0
16
16
16
16
16
8
0
0
0
0
0
17
0
0
6
6
0
18
8
8
56
9
0
0
0
0
0
0
0
0
16
0
0
16
0
0
1
8
0
0
16
0
0
16
8
0
0
37
8
0
17
16
0
4
4
0
0
21
16
16
8
8
8
0
1
16
0
0
0
0
0
0
0
0
0
24
24
32
0
0
0
0
0
0
16
16
0
0
0
16
8
0
0
24
0
0
8
8
8
8
0
8
8
8
0
16
0
0
8
0
20
4
0
0
0
0
8
16
16
0
24
16
8
8
8
8
8
8
8
8
16
4
0
0
16
0
16
16
1
25
25
4
4
0
0
0
16
0
0
16
0
0
8
2
0
18
18
1
1
1
8
8
32
0
16
16
4
4
16
16
8
0
8
0
24
16
0
8
0
0
0
0
0
1
4
4
0
8
4
0
8
8
22
0
0
0
0
16
16
16
16
16
0
0
8
8
0
16
0
0
0
0
12
57
0
0
0
8
8
4
0
0
0
0
8
8
8
8
0
0
8
0
0
4
4
4
8
0
0
4
9
16
0
4
0
8
0
0
12
12
12
0
0
0
24
24
0
0
0
0
0
0
0
16
16
24
0
0
0
1
8
0
0
0
0
8
1
0
0
0
8
2
2
8
0
8
26
8
8
8
0
9
9
8
8
0
4
0
1
0
0
16
1
2
0
1
1
1
2
2
0
0
0
4
8
8
0
0
16
8
1
8
0
0
0
0
0
1
16
0
0
4
8
8
0
8
20
0
8
17
17
17
4
0
16
16
16
16
8
4
4
4
8
8
1
8
0
0
0
0
0
0
0
8
8
0
8
1
8
1
16
8
0
16
18
8
16
16
16
16
0
4
0
0
0
0
0
8
8
8
8
4
0
0
6
8
2
0
16
16
16
8
0
0
0
0
16
0
0
0
0
0
8
4
1
32
0
16
16
16
0
4
4
0
8
0
2
54
0
1
1
0
0
0
0
8
16
0
4
4
8
0
16
0
0
0
0
8
0
0
0
4
0
0
0
0
0
0
6
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
20
16
16
0
0
0
4
0
2
0
0
16
2
0
32
24
24
0
16
24
0
16
16
0
0
0
4
4
8
8
0
0
0
8
16
0
0
0
4
16
0
8
8
0
2
0
0
0
0
0
16
16
1
0
0
0
0
0
2
1
12
0
0
8
16
0
4
0
0
0
0
0
0
0
8
8
0
0
0
16
0
0
0
0
8
0
8
0
16
0
0
4
0
16
0
0
0
0
0
0
0
4
8
28
24
24
0
0
0
0
0
0
8
0
16
1
0
0
0
0
0
19
8
0
0
0
0
0
4
12
16
16
0
2
0
4
0
0
0
0
8
4
0
8
0
0
1
1
0
0
20
0
0
8
8
8
17
0
1
6
16
0
0
0
8
0
0
0
0
16
16
16
20
0
19
1
0
0
1
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
6
0
0
16
0
0
0
9
0
1
1
1
8
0
0
0
0
4
0
0
8
0
0
8
0
0
8
1
8
0
0
0
0
0
9
0
4
4
24
0
0
0
0
0
0
0
0
4
8
8
0
0
8
4
8
16
8
8
9
16
0
0
0
0
48
48
0
0
0
0
0
0
6
1
0
0
2
0
0
8
0
0
0
8
0
0
48
48
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
4
4
4
8
8
0
0
8
25
25
0
0
16
10
10
0
16
4
0
0
8
8
0
0
0
0
0
0
0
0
0
14
14
0
0
0
16
16
0
16
4
0
40
4
0
0
0
8
0
12
0
0
0
0
8
0
0
0
8
2
16
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
3
0
0
0
0
3
16
0
0
0
8
8
8
0
0
0
0
33
4
0
8
0
0
0
0
0
0
0
8
0
0
0
8
0
0
0
0
0
0
0
1
0
0
6
6
0
0
0
6
16
0
16
0
0
0
0
0
0
0
0
16
0
0
16
0
4
0
16
0
8
8
16
16
0
4
8
40
8
8
2
2
0
0
0
0
0
0
4
49
16
0
0
20
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
49
0
32
8
0
0
0
0
16
4
8
0
0
8
10
2
2
8
16
16
0
0
17
0
16
8
0
0
18
4
0
0
0
0
0
0
18
18
0
0
20
0
0
0
1
0
0
0
0
24
0
0
0
0
0
16
2
0
0
0
0
0
8
8
0
0
0
8
20
20
20
0
0
0
0
0
24
0
0
8
8
0
0
0
4
0
0
8
0
0
0
0
0
0
8
8
8
0
0
16
16
0
16
0
0
8
16
0
0
0
16
16
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
17
4
0
0
24
0
16
0
16
8
0
0
0
0
8
0
16
8
0
0
0
8
8
17
17
0
0
0
0
32
0
4
4
8
0
0
0
9
0
4
8
8
2
0
0
8
0
0
16
0
0
0
0
0
0
16
16
16
0
0
0
0
2
0
16
16
16
8
8
0
0
0
4
0
0
16
16
16
0
0
0
0
16
16
16
16
0
0
0
0
0
4
0
4
0
0
0
0
0
1
2
0
0
0
0
16
16
0
0
2
0
0
16
0
0
0
0
8
4
0
0
0
0
0
0
0
1
0
0
0
0
16
0
4
4
0
0
0
0
0
0
16
16
0
0
0
0
0
24
0
16
0
0
16
16
4
8
8
8
8
24
32
32
8
0
0
0
8
0
0
0
0
0
0
0
10
0
0
0
8
8
0
0
0
20
0
0
0
0
1
0
0
8
8
8
8
8
0
0
0
0
12
8
8
0
0
0
0
0
0
0
0
0
0
2
8
8
0
0
0
0
0
0
8
0
0
8
0
0
0
0
16
0
0
0
0
17
17
0
32
32
8
0
0
8
0
0
0
8
8
0
0
0
1
8
0
0
0
0
8
0
0
0
8
0
0
8
0
8
8
16
16
24
2
8
8
1
4
4
4
0
8
28
1
4
0
0
0
0
0
22
22
0
8
0
0
0
0
0
0
0
8
0
0
0
0
0
0
24
0
0
4
16
0
0
0
1
0
0
0
0
0
4
8
8
2
0
0
16
0
0
0
0
16
16
16
8
8
0
0
0
8
24
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
4
0
0
4
0
0
0
4
4
16
2
0
0
0
0
0
0
0
0
0
16
0
16
0
0
0
1
0
0
0
0
0
0
0
0
0
36
0
8
8
8
0
0
0
0
0
0
25
24
0
17
0
0
0
0
0
4
0
24
0
0
0
0
0
0
16
20
1
0
0
0
0
0
16
16
16
16
16
8
0
10
32
0
16
16
16
16
0
24
28
0
0
0
0
0
0
0
4
24
0
17
20
0
0
0
0
0
8
24
24
8
8
8
8
8
1
1
0
0
20
20
0
0
4
0
0
0
8
30
0
0
2
16
0
8
0
0
0
4
2
0
0
8
8
2
0
0
0
0
0
8
8
0
8
0
0
0
0
4
0
8
0
16
16
0
0
4
0
16
0
8
8
0
16
0
0
8
8
0
8
0
0
0
0
0
8
8
0
0
0
0
0
0
8
32
8
0
0
0
0
0
0
16
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
2
0
0
8
0
0
0
0
0
0
0
0
0
0
8
0
24
0
0
0
0
0
0
0
0
16
0
0
8
0
0
24
24
24
24
24
0
8
2
16
16
0
8
0
4
16
8
16
1
1
6
16
0
8
8
0
8
8
8
0
0
0
1
0
8
0
8
8
0
0
0
8
8
8
8
8
8
8
0
0
0
6
0
19
0
0
0
0
0
0
16
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
8
0
0
4
4
0
0
0
8
8
8
16
0
0
3
0
0
0
0
3
3
3
0
0
0
0
0
1
8
8
8
8
16
0
0
0
4
0
0
0
4
0
0
0
0
0
8
8
8
0
4
8
0
2
0
24
0
0
19
0
0
8
4
4
0
0
0
0
0
8
0
0
16
2
1
8
8
0
0
8
4
25
0
18
16
16
0
8
0
1
0
0
2
0
0
0
0
2
24
0
12
0
0
8
0
0
8
8
0
0
0
8
2
2
0
0
0
16
0
0
16
2
0
16
0
0
0
40
8
8
0
0
0
0
0
16
0
8
0
36
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
17
0
0
0
0
16
0
0
0
0
1
1
0
16
2
0
0
8
0
0
8
16
8
8
0
0
0
16
0
0
0
1
0
0
0
0
0
0
0
16
0
0
0
6
0
0
8
0
8
8
0
24
8
0
32
0
8
8
0
0
0
0
0
0
0
2
0
0
0
0
0
0
8
0
0
0
0
0
0
1
0
0
0
0
0
0
4
4
4
4
16
0
8
0
0
16
4
0
0
4
0
9
9
0
0
12
0
0
0
0
1
0
0
0
0
10
16
16
8
0
8
8
8
0
0
12
12
12
0
0
9
0
0
0
0
0
16
16
16
0
0
0
0
16
8
16
0
0
0
0
8
0
16
0
8
8
0
0
2
0
8
1
1
1
0
0
0
12
0
16
16
16
16
0
0
25
0
0
0
0
0
0
8
1
0
0
4
22
0
0
0
0
0
16
4
0
16
16
0
0
4
8
0
0
0
0
0
0
0
4
0
0
0
0
4
0
8
8
0
0
1
16
0
0
0
0
0
4
2
0
0
0
16
8
0
0
2
0
0
0
0
2
2
0
0
0
0
0
0
0
0
12
16
24
0
8
0
0
33
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
8
0
4
4
16
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
4
8
0
8
16
0
0
8
0
0
0
8
0
0
4
16
0
0
0
0
4
0
2
32
32
8
0
0
0
0
0
0
8
8
8
0
0
8
8
8
8
0
8
1
0
0
24
24
0
0
16
0
0
0
0
4
0
0
0
0
0
0
8
8
0
0
0
8
8
0
8
0
0
0
0
0
0
0
8
0
0
0
0
8
0
0
0
0
2
0
0
0
0
0
0
8
8
0
4
8
0
0
0
0
0
0
0
24
16
1
16
2
2
0
0
0
0
0
0
0
0
0
0
0
16
9
24
0
0
4
16
0
0
0
0
0
1
6
8
8
0
0
0
0
0
32
0
16
16
16
16
9
0
2
2
2
0
28
8
0
0
17
0
0
0
8
0
0
0
0
0
0
0
0
0
0
8
8
8
2
0
16
12
34
34
1
1
17
9
0
0
0
8
4
4
8
8
16
16
0
8
0
0
0
0
0
0
8
8
27
8
0
1
58
2
1
8
0
0
2
2
0
0
0
5
5
5
16
16
16
0
0
0
0
16
16
16
16
0
0
0
0
16
16
16
8
1
0
0
0
0
16
16
41
41
0
2
16
16
0
0
0
0
16
17
0
16
16
16
16
16
0
1
16
4
4
4
16
0
8
8
32
32
8
0
0
0
0
16
16
16
16
16
16
16
0
0
0
0
0
0
0
4
4
36
36
36
36
0
0
0
0
0
0
0
0
8
8
0
1
0
34
34
1
1
0
0
0
0
8
0
0
0
0
16
16
0
16
16
0
0
5
5
0
0
16
8
8
8
8
0
0
24
24
2
8
8
8
16
1
1
1
16
0
0
0
0
0
0
0
0
0
0
0
16
0
0
32
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
0
8
0
8
8
1
8
8
0
0
0
8
0
0
0
0
8
8
8
8
8
16
0
0
0
0
16
16
16
18
18
12
12
12
1
8
8
0
32
32
0
0
0
0
4
8
1
0
0
8
0
2
32
0
0
0
16
16
16
16
0
0
0
8
0
0
0
0
0
0
0
8
16
0
0
0
8
8
16
0
24
8
0
0
0
16
16
16
16
8
32
0
0
0
8
1
0
8
8
12
0
16
0
0
4
1
2
32
32
32
16
16
16
16
0
0
24
16
16
16
16
16
52
4
4
4
0
0
0
0
0
8
48
0
2
4
0
16
0
0
16
16
16
16
0
4
16
8
16
8
24
0
0
32
0
0
0
0
0
8
8
8
8
8
4
16
16
0
16
16
2
0
10
0
8
8
0
16
0
10
10
10
21
16
16
0
0
0
27
0
1
1
1
1
0
4
8
8
2
2
16
16
16
0
0
2
0
0
0
16
0
0
0
0
0
0
0
0
16
0
16
16
16
16
16
8
8
8
20
20
32
0
8
0
0
0
0
0
16
16
24
24
24
0
0
16
13
0
0
0
4
0
0
8
8
4
4
0
16
37
37
0
1
32
0
0
0
0
2
16
8
0
0
1
0
0
8
16
0
16
2
8
2
2
4
4
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
16
0
0
0
16
0
1
0
8
24
24
24
24
16
8
16
32
0
9
1
0
4
0
0
8
0
0
0
0
40
8
2
2
4
8
16
8
16
16
16
4
4
0
0
0
24
0
8
0
4
0
8
0
0
8
4
4
0
0
24
4
16
16
0
16
1
16
16
0
0
0
0
25
1
1
16
4
4
8
0
0
0
0
0
0
4
0
8
8
8
8
4
4
4
4
4
0
0
0
0
0
0
0
16
8
8
0
0
0
0
0
20
8
8
8
8
8
0
0
0
0
0
0
16
17
16
24
0
0
8
8
8
0
16
16
16
8
1
0
0
0
8
8
2
8
2
8
8
8
16
24
24
0
0
0
0
9
9
9
9
0
0
4
4
0
0
0
26
26
26
26
1
1
24
32
32
8
16
8
11
8
13
32
8
8
16
16
0
16
18
0
1
8
4
0
8
0
0
0
34
20
16
17
24
24
0
17
0
0
1
0
16
16
4
0
26
26
26
26
4
4
4
16
0
8
8
8
0
16
16
0
16
0
4
0
17
0
0
0
4
0
8
8
8
0
1
17
17
12
0
0
20
16
1
1
8
2
2
2
2
2
2
8
8
18
5
0
8
7
8
16
8
0
0
8
8
8
0
0
0
0
0
0
1
16
16
0
1
0
0
8
16
16
8
16
16
0
0
0
0
8
8
8
0
8
8
8
0
8
8
8
8
0
24
24
4
4
4
16
0
0
16
16
0
22
22
22
0
0
0
8
0
0
24
24
1
0
0
0
0
0
0
0
16
16
16
8
0
1
16
4
4
4
0
0
4
0
4
4
8
8
8
8
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
4
0
8
8
0
16
0
0
8
8
8
16
16
0
8
8
8
0
0
0
0
0
0
0
0
12
0
0
0
8
8
8
0
0
0
0
0
0
34
16
0
4
4
8
8
1
1
1
8
0
0
8
8
0
20
8
8
8
24
24
0
8
8
8
0
8
0
16
16
16
0
24
8
0
0
0
8
0
4
0
0
16
16
2
0
16
16
16
16
16
0
0
24
24
16
16
16
0
8
8
8
8
8
0
0
16
2
8
0
0
9
8
0
0
8
8
18
12
12
34
19
4
0
0
4
16
16
8
16
16
12
0
0
0
0
0
16
16
16
2
0
4
4
8
0
0
0
0
0
0
0
0
8
16
53
8
8
8
8
8
0
0
0
16
0
0
8
16
8
0
0
0
0
0
8
8
0
2
40
40
0
0
2
0
0
0
0
16
0
0
16
16
16
0
0
0
0
8
36
0
0
0
0
4
16
0
0
2
8
0
0
0
0
16
0
16
16
16
16
16
8
8
16
0
20
18
0
0
0
52
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
22
0
16
1
8
0
0
0
0
16
16
0
0
0
0
4
4
0
0
0
0
0
1
8
8
0
16
0
2
16
16
16
0
8
8
16
16
16
16
16
16
16
16
16
9
9
32
32
32
0
4
4
4
8
2
2
2
2
0
8
8
8
0
0
0
0
1
1
16
4
8
8
2
16
16
16
4
4
0
0
0
0
0
0
0
56
56
1
0
1
0
8
0
0
0
0
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
0
8
4
4
16
16
8
8
8
0
1
0
0
0
0
0
0
0
8
8
16
16
0
4
40
40
0
0
0
12
0
16
0
0
0
0
0
0
8
8
0
8
0
0
8
6
6
6
6
6
6
16
0
8
8
8
4
4
0
0
0
0
0
16
2
1
1
0
0
16
0
8
0
8
16
16
4
4
0
0
0
0
0
0
0
0
16
8
8
0
8
8
0
8
0
16
16
16
0
24
24
2
16
16
0
0
0
0
2
0
3
26
26
26
26
0
0
0
0
0
8
0
16
0
0
0
0
0
0
0
0
0
16
0
28
0
8
8
1
1
5
8
8
16
26
8
8
1
1
1
2
8
16
16
16
16
16
1
1
9
8
0
0
0
8
8
0
16
16
16
0
0
0
16
0
1
1
0
16
16
1
0
0
8
8
8
1
1
1
0
0
16
8
0
0
16
16
16
16
0
4
0
0
0
16
0
0
8
1
8
16
16
16
32
8
8
50
24
0
4
8
8
8
8
8
0
8
0
0
2
0
16
2
0
0
0
8
0
0
8
8
8
8
4
4
4
0
0
0
0
0
0
0
41
41
41
8
8
0
0
0
8
8
8
0
0
0
0
4
8
8
0
32
32
16
2
0
8
8
8
0
0
0
16
0
8
8
11
0
0
0
0
8
2
2
0
8
2
8
0
16
16
16
16
0
0
8
8
8
8
0
8
8
0
16
0
0
0
0
1
16
8
0
0
0
0
0
16
16
1
0
0
0
16
8
0
0
8
8
0
8
16
8
8
0
0
0
16
16
8
8
0
0
0
4
2
8
2
2
2
2
2
0
0
0
0
14
14
16
2
8
8
0
0
0
0
1
0
16
16
4
0
0
0
16
1
1
4
4
2
8
0
16
16
0
8
8
0
0
0
0
0
0
0
8
8
8
8
8
8
20
0
0
4
4
0
16
8
8
8
2
1
0
0
0
0
0
0
0
0
0
1
0
0
16
8
16
0
0
16
16
16
1
2
2
4
4
4
0
16
16
8
16
16
2
8
8
0
0
0
0
0
0
2
2
16
0
8
8
8
0
0
8
0
0
0
0
0
0
0
0
2
2
0
0
0
0
0
0
0
8
8
8
16
16
0
0
1
16
0
0
0
0
4
1
0
0
0
0
8
0
0
16
0
8
0
0
0
0
0
0
0
0
0
0
8
0
8
8
8
0
0
0
8
29
29
1
4
18
0
24
16
16
0
0
0
8
0
0
48
8
0
16
16
0
8
0
0
16
16
8
8
8
8
24
0
0
0
0
8
0
0
16
4
4
0
0
0
8
8
8
8
1
1
1
0
2
0
2
2
50
16
1
1
32
32
0
0
0
0
0
0
0
1
1
8
0
0
20
0
8
0
0
2
24
8
1
1
1
0
0
8
0
0
0
0
0
0
0
0
0
0
8
2
8
8
8
8
8
1
1
1
0
8
0
16
0
0
4
32
32
4
8
1
28
0
9
8
8
8
8
0
8
8
0
0
0
0
0
0
8
8
4
8
0
1
8
16
8
32
0
20
0
0
1
1
0
0
32
0
0
0
0
0
0
2
8
0
0
0
0
8
0
2
0
8
0
8
8
0
2
5
5
0
16
8
0
0
0
1
1
8
8
8
16
16
16
16
16
0
0
12
12
12
0
0
16
0
0
0
8
0
18
0
8
32
8
8
0
16
42
8
8
8
8
0
0
8
8
8
32
32
32
2
2
0
0
32
32
32
4
8
8
8
0
0
0
0
16
16
8
6
19
0
0
10
0
0
8
0
0
0
16
2
0
0
4
8
8
0
17
36
8
8
8
0
8
0
0
0
0
4
2
2
2
2
4
0
4
8
8
8
8
0
0
12
0
8
0
0
0
8
0
8
8
2
8
8
0
16
0
16
0
0
0
0
0
16
8
8
8
8
0
0
32
16
1
1
8
8
8
8
8
0
24
8
20
16
16
16
16
2
0
0
0
2
2
8
8
8
8
8
24
8
8
0
0
0
0
2
2
2
0
16
8
16
2
0
4
4
4
4
22
32
32
8
8
8
8
16
0
0
0
1
4
16
16
8
8
1
1
0
8
8
8
8
8
0
16
16
16
16
10
10
10
0
16
16
16
16
8
0
0
8
8
2
8
8
0
0
16
8
4
16
8
16
16
8
8
2
2
2
8
8
8
8
0
8
12
0
0
0
2
16
0
0
0
8
8
0
0
0
16
16
32
0
0
25
25
0
0
0
2
16
16
24
0
0
16
0
8
24
0
8
0
0
0
0
0
8
8
8
8
8
0
0
0
4
0
0
0
16
8
26
8
8
0
0
0
0
0
8
0
8
18
1
0
0
16
16
0
40
53
53
53
16
12
12
0
56
16
8
8
12
8
8
1
16
16
8
8
24
24
8
16
16
0
0
4
0
8
0
4
16
8
8
8
0
0
8
1
1
0
1
1
16
0
8
8
16
16
11
11
32
0
0
8
34
34
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
20
8
0
0
1
0
8
0
1
4
4
4
0
8
8
12
12
12
16
0
0
24
16
16
8
16
18
36
32
8
8
8
0
0
32
32
0
0
0
4
0
0
0
8
0
0
0
0
0
0
0
0
0
0
32
32
0
0
1
36
0
0
0
0
0
0
8
8
0
28
28
0
48
16
16
8
8
2
0
0
0
0
20
20
20
20
0
0
0
0
1
0
0
16
16
16
0
0
4
2
8
16
16
4
4
8
8
0
0
0
0
17
17
17
0
6
10
24
24
8
8
0
16
0
8
8
16
2
0
8
16
37
37
16
8
0
8
4
4
4
16
16
16
16
16
16
8
8
8
8
16
16
16
16
0
16
0
0
8
16
16
0
32
0
40
8
0
0
0
8
32
16
16
16
16
16
8
0
0
4
24
0
1
4
0
36
0
0
0
0
4
8
0
8
8
0
8
0
0
4
16
8
4
4
0
16
4
8
0
0
4
4
18
0
10
0
4
1
4
0
32
8
0
16
24
24
8
0
0
0
0
0
1
1
1
1
0
0
6
0
0
13
1
1
1
1
1
1
1
1
0
0
16
16
0
2
50
2
0
0
1
8
8
8
16
1
8
0
24
0
16
16
0
16
16
0
0
8
8
1
1
8
8
4
4
4
16
0
0
10
8
24
0
0
0
0
8
0
8
8
0
16
4
0
0
2
0
16
16
8
8
8
20
8
8
8
16
16
24
24
24
24
16
16
16
0
0
16
16
8
8
8
8
8
8
0
2
2
2
2
0
2
2
0
0
16
16
0
16
16
16
16
0
0
0
16
0
8
50
16
16
16
32
8
2
16
20
20
20
0
16
16
0
0
0
0
16
32
0
0
0
0
0
0
0
0
0
16
16
16
0
0
4
1
0
0
16
0
0
48
4
0
2
2
8
2
0
0
0
8
0
0
1
8
8
8
0
0
32
4
4
4
0
0
0
16
8
8
8
8
8
8
8
0
0
4
4
4
4
0
1
1
0
16
8
8
8
0
0
8
4
4
0
0
0
0
16
0
18
18
16
0
0
0
0
0
4
8
0
8
13
13
0
0
2
0
0
0
0
16
16
0
0
32
8
8
8
8
8
8
8
8
0
0
0
0
8
8
8
0
16
8
0
0
8
4
4
8
8
0
16
16
32
1
1
16
0
9
8
8
8
8
8
1
1
0
0
8
0
0
0
0
1
1
1
1
1
29
10
8
0
0
16
0
0
0
8
16
6
10
8
0
0
4
4
0
4
8
16
8
8
0
0
4
24
0
0
8
0
0
0
2
9
9
9
0
0
0
0
8
0
0
0
1
8
8
4
8
8
8
8
0
0
0
2
20
20
20
20
0
40
0
0
0
1
1
16
0
8
0
0
0
0
8
4
16
0
0
0
16
0
8
0
0
0
0
0
0
0
0
1
0
0
16
0
0
0
1
1
1
8
8
8
8
4
48
48
48
16
16
16
16
0
16
8
0
0
4
1
1
8
8
0
0
8
8
8
56
1
1
1
1
0
16
8
8
16
0
8
0
0
34
0
8
0
8
0
16
16
16
16
16
16
16
16
16
16
0
0
16
0
0
8
8
0
2
0
0
0
0
4
4
18
1
2
8
16
0
0
0
0
34
0
8
0
16
0
0
0
4
4
0
1
0
0
0
0
0
0
0
0
0
8
16
16
0
0
8
8
8
0
16
8
8
0
4
4
4
0
0
16
0
0
8
0
24
8
0
0
0
0
0
2
0
0
20
9
8
0
16
16
16
2
4
4
0
0
0
0
12
12
8
0
0
1
8
8
16
16
0
0
16
0
1
1
1
4
32
8
0
0
0
0
0
0
33
33
0
0
8
8
2
16
0
16
16
8
4
8
8
0
8
8
16
8
8
20
0
0
8
8
0
0
2
0
0
0
0
0
4
4
4
4
8
8
1
0
8
0
0
0
8
4
8
0
8
0
0
0
0
0
2
0
2
0
0
16
16
8
0
0
0
0
0
0
1
8
6
16
16
0
0
0
0
0
0
0
0
0
32
4
16
0
0
23
1
0
8
8
8
0
0
0
0
0
0
0
32
0
0
16
16
0
8
8
8
8
8
8
8
1
8
11
0
2
2
0
0
16
0
4
2
0
8
0
0
0
4
0
26
26
8
8
8
0
0
16
8
1
1
1
1
0
0
0
0
16
16
0
0
0
1
8
0
0
0
0
8
1
0
16
16
16
16
2
2
1
36
8
8
2
0
16
0
0
0
0
0
0
4
4
0
16
8
16
16
0
4
0
0
8
0
0
0
4
8
8
0
0
0
0
20
20
18
8
2
1
0
4
4
4
2
1
1
1
1
8
0
0
2
8
8
0
8
0
0
0
13
13
13
8
8
0
0
8
0
24
4
8
0
1
1
1
8
2
16
0
0
0
16
0
0
0
0
0
8
1
1
1
1
16
8
0
16
16
16
16
16
0
8
8
1
2
2
0
4
8
8
8
16
2
16
16
16
16
16
0
0
0
0
0
0
0
0
17
16
25
32
32
32
0
8
4
0
0
0
0
8
16
0
0
0
0
0
0
0
4
41
8
40
40
40
1
2
16
16
0
0
0
4
8
8
8
4
0
0
16
0
16
8
16
16
16
0
16
4
4
0
16
16
0
0
0
0
0
41
8
0
0
16
0
56
0
8
0
0
16
4
0
0
0
0
16
0
4
4
4
4
4
0
0
0
0
16
16
0
8
8
0
1
0
8
1
1
4
0
12
16
8
0
28
24
8
8
1
16
0
0
0
2
2
2
16
16
16
0
16
16
0
0
8
8
16
16
16
8
16
16
16
16
0
8
24
16
24
1
1
0
0
0
0
8
8
0
28
28
28
8
10
2
0
0
0
0
0
16
17
2
2
1
2
8
0
8
8
0
4
4
1
0
10
0
16
0
8
2
0
0
0
1
1
34
34
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
2
0
16
0
0
16
4
8
8
4
4
4
0
16
16
16
8
1
2
2
2
16
16
0
0
0
16
16
0
1
0
8
2
8
8
0
0
0
0
0
0
16
0
0
8
8
2
0
34
0
16
0
0
0
8
0
0
8
4
16
16
8
8
2
24
24
8
16
2
35
0
2
2
0
1
24
0
16
16
16
16
4
8
0
19
19
0
0
0
32
0
0
0
8
3
0
0
0
8
0
0
0
0
0
1
0
16
16
16
16
16
16
16
16
16
8
8
8
0
0
28
0
0
0
0
16
0
0
8
8
2
16
21
4
0
0
0
16
16
16
16
0
0
0
0
0
8
1
16
0
0
16
16
16
16
0
0
0
0
0
4
0
8
8
0
16
0
4
0
0
0
8
8
8
8
0
17
0
16
0
0
0
0
0
0
0
0
0
8
1
0
4
4
0
0
16
24
0
0
2
2
16
0
4
0
0
0
0
0
4
4
4
4
8
0
0
16
8
0
12
16
24
16
18
0
16
16
16
16
16
0
0
0
16
16
0
0
40
40
16
16
0
8
0
16
4
0
0
0
0
13
8
8
2
16
0
0
0
8
2
1
0
0
0
0
8
0
0
4
4
0
0
0
0
16
1
1
1
1
0
0
0
8
4
8
8
8
0
24
0
0
0
0
4
0
0
22
16
8
0
0
3
8
8
24
1
6
6
2
2
2
2
0
40
30
32
32
32
32
20
20
0
16
16
0
8
8
16
0
16
16
0
5
5
16
0
8
0
0
0
1
8
4
4
0
8
16
16
1
0
8
16
16
16
16
0
8
8
8
0
0
0
16
16
0
0
0
8
8
8
0
8
0
0
8
8
4
4
8
4
0
1
1
0
0
0
0
4
4
24
24
0
0
0
0
0
1
1
0
0
4
21
21
21
0
0
24
0
0
8
4
16
16
16
8
0
8
8
0
32
0
0
1
8
0
16
12
28
12
24
16
16
8
0
0
2
0
0
8
8
0
3
2
2
40
0
8
0
0
0
0
0
0
24
16
0
0
8
0
2
0
16
16
16
4
4
4
0
0
56
16
16
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
24
24
24
10
10
10
8
0
8
8
8
8
0
0
4
24
24
24
0
0
4
8
8
0
0
0
1
16
2
18
8
20
0
9
9
9
8
8
9
9
9
0
0
1
1
8
8
8
8
16
0
0
0
0
6
6
6
0
0
0
0
8
8
8
8
28
28
28
28
0
0
1
1
1
0
0
8
0
0
16
0
8
1
2
0
0
16
25
25
16
4
8
8
8
8
0
0
2
0
16
0
0
8
0
1
8
4
4
8
16
16
4
0
12
8
0
0
0
0
0
0
24
24
0
0
0
18
18
0
0
0
32
32
0
8
8
19
4
0
2
16
4
0
16
8
4
8
1
0
0
0
6
0
10
0
1
1
1
1
8
4
8
0
1
1
16
16
32
8
0
16
8
8
0
0
6
2
2
2
0
8
0
8
4
0
0
8
0
0
16
0
0
0
8
1
1
8
8
0
0
0
0
0
4
2
32
0
0
0
0
4
8
0
0
0
2
8
4
3
4
3
0
16
16
16
12
12
12
0
4
8
4
16
8
8
8
16
16
16
16
16
17
1
1
1
1
0
32
32
32
16
20
16
0
16
8
2
8
20
8
16
0
0
0
0
0
0
0
16
0
0
0
0
2
2
8
8
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
8
0
8
4
8
32
32
18
0
0
8
0
16
16
8
8
0
0
0
0
0
16
8
16
16
16
0
16
16
4
32
42
40
0
0
8
16
0
2
2
0
0
0
0
0
8
24
24
24
24
24
0
0
0
0
0
0
32
0
0
0
0
8
8
8
8
0
16
16
10
10
36
0
8
8
8
8
0
0
12
0
0
0
0
19
8
8
0
0
0
8
8
0
24
8
12
12
12
16
8
8
0
16
16
16
8
2
2
8
4
4
0
0
0
8
4
0
0
48
0
0
8
56
16
16
16
8
16
0
17
0
0
0
0
0
1
16
8
16
16
16
0
0
0
1
16
0
0
0
8
8
8
8
16
0
8
8
4
0
0
0
0
0
0
0
9
8
16
16
16
0
1
1
8
8
8
0
0
8
8
0
0
0
2
0
8
8
0
0
0
0
0
0
0
1
0
0
4
0
0
0
8
8
0
16
16
16
0
0
0
4
0
17
0
0
1
16
16
16
8
16
0
0
0
4
0
0
2
2
2
8
16
16
24
16
16
16
16
1
1
16
0
4
32
4
8
8
0
0
0
16
0
4
16
16
16
16
1
0
0
0
0
0
0
8
0
0
0
16
8
8
16
16
0
16
0
16
8
16
10
4
16
16
17
2
2
2
4
4
4
16
0
2
2
0
24
24
24
1
16
0
8
8
8
8
8
8
16
0
16
7
0
0
4
4
12
0
16
1
8
24
22
8
0
9
0
0
0
4
8
8
2
2
0
0
8
8
8
4
0
8
32
32
32
0
0
16
16
0
0
0
0
0
16
16
16
16
16
16
16
16
2
4
4
4
16
1
1
1
1
1
1
1
0
8
8
8
2
2
2
0
0
0
16
16
16
16
16
16
16
16
4
4
4
4
16
8
16
16
0
8
8
8
8
8
4
0
0
0
0
8
1
32
1
0
0
24
29
0
0
0
16
48
0
0
4
2
2
8
0
24
24
24
24
16
8
8
2
2
0
0
0
8
8
0
1
16
0
48
32
32
0
0
0
32
0
0
16
16
16
16
16
8
12
4
0
8
0
0
8
8
8
8
16
0
0
8
16
16
12
0
0
8
16
0
0
0
0
0
0
1
0
0
0
2
2
1
8
8
8
16
16
8
16
0
24
8
8
2
1
2
0
0
0
0
0
16
8
0
0
0
0
8
8
0
0
0
8
8
8
8
0
0
0
0
0
0
0
16
16
1
16
0
8
8
0
16
0
16
8
0
44
57
57
0
16
8
1
0
0
0
0
0
8
0
4
8
0
0
32
0
0
0
0
16
18
16
16
8
16
16
16
0
0
16
2
0
16
2
2
0
20
20
20
0
8
0
0
24
0
0
0
0
0
0
0
0
1
0
16
0
0
8
2
8
16
16
4
4
4
56
56
1
1
1
8
8
4
2
10
10
32
0
0
0
0
16
16
0
0
2
0
0
0
0
0
16
16
1
16
0
8
8
0
16
8
2
8
17
17
8
0
0
0
0
0
0
8
0
8
0
8
24
8
2
4
12
12
12
0
8
2
16
16
40
40
0
0
0
0
0
19
19
1
0
0
0
49
49
49
16
16
8
0
0
20
16
0
0
0
0
0
0
0
0
8
0
2
0
0
0
16
16
1
1
1
1
8
0
0
4
4
0
0
16
8
0
8
8
8
0
0
16
0
16
16
8
8
8
57
0
0
0
0
0
8
16
16
16
16
16
16
16
0
0
8
0
0
0
0
8
16
0
1
1
1
32
32
8
9
9
14
0
0
0
0
44
16
8
9
8
8
0
0
2
16
16
16
0
2
0
16
0
8
8
8
8
8
16
16
27
4
0
1
8
8
2
0
10
0
0
0
0
8
32
0
0
32
0
0
0
1
1
1
4
0
0
0
0
0
0
0
8
0
8
1
1
2
1
0
16
16
16
0
4
2
0
1
16
2
2
2
8
8
0
3
1
16
0
0
16
1
1
0
0
16
16
8
16
16
0
2
0
0
0
0
0
0
8
8
8
9
9
0
16
0
16
20
0
2
8
16
8
16
18
0
0
0
0
0
8
0
8
8
16
16
24
9
9
8
2
16
0
0
0
9
0
22
0
0
8
8
0
0
0
0
4
4
4
0
0
2
0
0
0
4
4
4
16
16
16
16
16
16
16
0
0
8
8
8
0
0
16
1
1
0
0
16
9
9
8
8
8
16
0
0
8
0
0
32
8
8
0
16
16
8
8
0
0
0
0
0
0
16
16
8
8
0
2
25
0
0
0
0
0
0
16
16
8
0
0
4
4
16
16
16
16
16
33
8
0
32
8
4
4
16
0
0
0
16
8
8
16
0
0
0
4
1
32
4
4
16
4
0
2
2
0
16
0
8
8
4
0
0
0
0
0
0
0
0
0
16
16
0
3
0
16
16
16
0
0
4
4
4
8
8
8
8
8
8
0
4
0
0
0
0
0
0
0
0
8
8
0
0
17
8
4
20
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
8
24
0
0
0
0
20
16
16
18
0
1
8
0
16
0
8
0
0
0
0
0
2
2
8
0
0
0
0
8
4
0
0
16
16
16
0
8
8
0
0
0
8
4
8
0
0
8
0
0
8
0
0
0
0
16
16
4
8
0
0
33
4
0
16
0
0
0
0
0
0
0
8
2
8
0
24
0
16
16
16
32
9
4
4
2
0
8
16
16
16
16
4
8
0
0
0
0
0
0
8
0
0
0
0
20
25
25
25
1
8
8
4
4
8
0
0
1
56
56
56
2
8
0
8
4
4
4
16
16
8
8
0
8
9
0
0
0
0
0
0
16
8
8
8
16
8
4
8
0
0
0
1
0
1
8
8
8
16
16
36
3
4
0
0
0
1
4
4
0
0
0
0
0
0
1
32
8
16
2
2
4
4
0
0
9
9
4
0
0
0
0
0
0
2
2
0
0
8
1
16
16
16
16
0
2
4
8
32
32
32
32
32
32
0
8
1
8
16
26
0
16
4
8
0
0
0
0
2
0
2
0
0
0
0
24
0
1
0
41
41
41
40
40
40
40
40
3
0
36
4
2
0
8
8
0
0
8
8
0
0
0
8
16
2
0
8
8
16
16
2
2
2
16
0
8
8
4
4
0
0
1
0
0
8
16
49
16
16
0
0
0
0
8
0
4
0
0
0
16
2
8
16
16
8
8
16
16
0
0
0
0
16
0
16
0
1
8
0
0
0
0
0
0
0
16
0
16
0
0
0
0
0
8
4
8
8
0
0
0
0
0
0
0
8
8
8
0
0
0
32
32
32
16
4
16
16
0
0
0
0
0
0
16
16
16
16
8
0
8
8
0
0
0
16
0
0
0
8
8
8
8
8
8
23
4
0
1
0
0
0
0
27
1
0
0
0
0
8
8
0
0
0
0
0
24
0
8
8
0
0
0
0
0
1
0
0
0
1
1
1
8
8
0
0
1
2
2
2
8
8
2
19
0
0
0
0
40
0
8
8
0
0
0
8
8
0
4
4
0
16
0
0
0
16
16
0
0
0
16
16
8
16
36
0
0
8
0
16
11
8
8
8
24
24
0
0
4
8
8
8
17
1
1
0
16
16
30
4
8
0
0
0
8
16
32
0
16
16
16
0
8
0
8
4
0
16
16
16
32
0
8
8
8
4
16
4
4
4
8
8
17
2
4
0
0
0
16
16
16
16
0
2
16
0
1
1
8
0
0
0
8
0
0
16
0
0
1
0
0
0
4
4
8
0
0
0
8
8
1
0
0
0
32
4
4
0
0
0
0
14
0
0
8
0
0
0
0
0
28
16
0
42
33
0
8
4
4
0
16
0
8
8
3
0
0
2
2
8
20
0
12
16
16
0
8
0
8
8
1
1
16
8
16
16
24
24
24
8
16
0
1
1
1
8
1
2
16
0
4
4
24
2
2
2
0
0
0
0
1
16
8
8
8
8
8
8
16
16
0
0
0
2
2
4
4
4
24
0
0
0
8
2
2
16
8
8
16
16
8
0
8
8
16
0
0
0
8
8
20
0
0
16
16
16
16
16
16
0
0
8
8
0
8
16
24
0
0
0
0
0
0
8
20
0
0
0
0
0
0
4
4
8
0
16
30
30
0
0
8
8
0
0
0
0
0
0
2
0
4
16
16
16
16
16
16
0
0
8
24
0
0
1
0
17
17
0
0
0
0
0
0
7
7
16
8
8
0
0
0
0
16
0
8
0
8
8
16
16
0
13
1
0
8
32
8
0
16
16
0
0
0
0
0
1
1
0
1
16
0
8
0
8
0
0
16
16
1
1
2
2
0
16
16
0
0
0
0
0
8
8
8
0
16
8
0
2
0
6
0
0
0
0
8
4
0
0
8
8
41
16
16
16
0
0
0
25
0
0
0
0
24
24
4
8
8
1
1
16
4
4
4
0
0
0
0
16
16
0
16
16
0
0
0
4
2
9
48
48
0
0
0
0
2
8
8
8
0
2
16
16
2
2
8
8
16
16
0
0
4
4
4
0
16
4
0
0
27
27
0
0
16
16
0
16
4
8
8
16
2
8
8
16
16
16
16
0
8
8
8
0
0
1
2
16
16
16
0
16
16
16
0
0
0
0
8
4
0
8
8
0
0
0
0
0
5
8
16
16
0
0
0
16
1
14
14
14
0
17
16
34
0
0
16
16
16
16
0
0
0
0
0
8
0
0
16
16
16
32
8
8
8
8
0
0
2
8
16
0
0
1
0
0
0
0
0
0
0
12
2
0
16
4
4
8
0
16
0
0
0
32
0
0
8
8
0
0
0
8
8
8
16
0
24
1
24
32
32
8
0
0
24
0
0
0
0
0
0
8
0
0
0
0
0
0
1
0
19
0
0
8
8
1
1
1
16
16
16
16
0
0
32
28
28
28
8
0
0
0
0
0
0
0
0
0
0
0
0
32
0
8
8
24
24
25
25
25
0
0
0
0
0
4
4
19
19
19
8
0
0
20
40
40
40
2
2
2
2
0
3
8
0
8
0
4
32
0
0
0
0
4
8
8
8
8
17
8
16
16
8
0
16
0
8
8
8
0
2
8
8
0
0
0
8
9
0
18
18
16
0
0
16
0
0
0
0
0
0
0
32
5
0
0
16
16
1
1
8
2
0
8
24
8
24
3
0
0
8
0
0
0
0
8
8
8
0
2
0
0
40
0
0
8
8
8
0
8
8
8
16
0
37
8
0
0
16
0
0
0
0
32
12
12
0
16
16
0
16
16
0
0
24
0
0
0
0
0
0
0
4
4
8
8
5
1
0
8
16
16
0
0
0
0
0
1
20
0
0
32
0
0
0
0
16
16
8
0
16
0
0
8
0
8
0
0
14
14
60
60
60
60
0
1
1
16
16
16
0
12
12
0
0
0
8
0
0
8
8
0
4
4
16
8
8
0
8
0
0
0
16
0
0
0
0
0
0
24
0
0
16
16
0
2
8
8
1
0
0
0
0
4
17
0
0
18
0
6
2
1
0
0
0
0
0
0
0
0
0
0
8
0
16
16
0
0
16
16
0
0
8
0
0
0
0
8
16
8
8
8
8
0
0
0
0
1
16
16
4
16
4
4
18
18
18
8
1
0
0
0
4
4
1
1
16
0
0
0
0
8
4
9
16
16
16
8
8
8
16
8
2
2
2
2
24
0
0
8
8
0
8
8
8
8
16
0
8
16
16
16
0
16
21
21
0
0
0
4
20
5
5
0
0
4
4
4
0
0
16
16
0
0
0
0
0
0
1
0
16
16
0
0
0
2
2
2
2
2
0
16
16
0
8
8
1
1
1
0
16
16
16
0
4
16
0
0
0
0
1
8
8
4
0
0
0
0
0
1
0
1
1
0
4
0
0
8
8
8
0
0
1
1
0
0
0
12
8
8
16
16
8
0
16
16
16
16
16
16
16
16
16
16
8
16
16
0
0
0
0
8
0
0
8
9
16
16
0
0
1
1
8
4
0
0
20
0
16
0
0
0
16
16
16
8
0
0
0
0
0
8
0
0
8
0
8
18
18
32
32
32
32
0
0
0
16
0
0
0
16
32
0
0
0
16
52
52
0
16
0
0
0
0
0
0
16
16
16
16
0
0
16
4
0
8
0
8
8
0
8
0
32
32
32
2
0
16
16
2
24
0
0
16
0
0
8
8
8
0
4
8
0
0
1
0
16
8
0
0
0
8
8
8
0
8
0
0
0
0
12
9
9
4
0
8
0
0
0
0
0
9
0
0
0
0
8
0
0
1
1
0
0
0
0
16
16
8
16
0
8
16
0
0
16
16
0
0
0
0
0
0
18
8
8
6
6
0
0
0
1
3
32
24
24
0
16
16
0
32
16
16
0
0
8
0
16
0
0
0
0
0
16
9
0
0
0
0
0
0
0
0
0
0
0
4
4
4
0
0
0
16
0
0
0
0
16
8
4
4
4
0
16
0
17
8
8
8
22
16
4
4
16
16
24
0
0
16
0
0
1
26
0
0
0
0
0
0
0
0
16
16
0
0
17
17
0
8
9
9
0
16
0
8
0
0
0
0
0
0
8
8
4
16
16
1
0
0
0
0
8
0
8
16
0
8
0
16
16
8
0
16
16
0
2
0
16
8
0
0
0
0
0
0
8
0
2
1
8
1
8
0
8
8
8
8
8
4
8
0
0
8
8
8
1
8
2
2
2
2
8
0
8
8
16
0
9
16
16
8
8
0
2
2
0
16
8
8
8
0
0
0
4
4
4
0
8
8
16
8
8
28
16
1
1
0
0
0
16
0
0
17
16
0
8
16
8
0
0
16
16
16
0
0
8
0
8
0
0
57
57
16
0
0
0
0
0
0
0
0
0
0
16
0
4
0
16
8
8
1
1
0
2
1
1
1
0
0
1
1
0
16
16
0
32
8
0
1
1
0
0
16
8
8
8
8
32
0
0
3
3
4
1
1
16
0
8
0
16
16
0
0
8
0
0
0
8
8
8
8
0
30
30
24
8
8
8
8
4
8
1
1
1
9
12
0
0
0
0
16
0
17
8
8
0
0
0
0
0
16
16
8
4
16
16
16
24
8
8
8
8
8
8
8
8
8
8
0
4
8
16
16
8
16
0
0
0
0
1
0
0
0
0
0
8
8
0
0
4
32
32
0
8
0
0
0
0
0
1
17
16
16
8
16
16
16
16
8
12
0
0
0
0
0
0
16
16
24
15
16
16
0
16
0
0
16
16
21
8
2
2
0
0
0
0
0
0
0
0
0
0
1
12
0
0
8
0
8
8
0
8
1
0
0
1
0
0
2
2
2
0
0
8
8
8
16
0
0
0
0
0
0
0
16
8
0
0
0
2
8
8
8
8
16
0
0
17
20
4
4
0
33
0
8
8
0
16
8
8
0
8
1
0
0
8
0
0
16
16
4
56
2
2
2
2
16
4
0
0
4
8
0
24
24
0
10
16
8
8
16
0
1
8
32
8
0
16
16
16
16
1
4
8
0
0
8
2
0
35
0
0
0
0
1
9
1
16
16
0
0
0
0
0
34
0
1
8
8
0
0
1
0
32
0
0
0
2
4
0
1
0
0
16
16
0
32
0
1
0
0
4
8
8
0
32
0
0
0
0
0
8
16
16
0
0
0
0
0
0
36
16
2
8
0
16
16
16
16
48
32
0
0
0
0
0
0
16
16
8
8
48
48
48
0
0
16
8
16
0
8
0
0
0
0
4
4
4
0
0
0
0
0
9
16
16
0
0
0
0
0
16
0
0
0
0
0
8
8
4
8
8
48
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
8
0
8
0
0
16
8
8
0
20
2
2
16
0
16
16
16
16
16
4
0
0
0
0
0
4
0
0
0
16
48
48
48
48
48
48
0
0
0
2
10
10
8
0
0
0
4
2
8
8
0
8
0
0
8
8
8
8
8
8
0
2
0
24
0
8
8
8
0
0
0
0
0
2
10
10
10
0
0
8
8
8
0
4
4
16
16
0
0
8
0
4
4
4
4
0
8
16
8
1
1
1
1
1
1
1
8
8
8
8
8
0
0
0
8
4
2
2
0
0
16
4
0
0
16
16
1
0
24
8
8
8
0
0
4
8
8
8
0
0
0
0
0
8
0
16
16
0
0
0
0
1
8
8
8
4
4
0
0
0
8
8
32
32
32
32
32
2
8
8
0
0
0
0
18
16
16
17
17
0
0
0
8
8
8
0
0
8
8
20
2
16
0
0
16
0
0
0
8
0
0
0
0
16
0
0
1
0
0
0
0
2
32
32
8
20
8
8
0
0
8
0
0
16
16
16
16
16
16
8
8
0
20
20
0
0
4
0
0
0
0
1
1
1
1
16
16
0
16
12
0
0
6
6
6
16
18
0
16
2
16
16
16
0
24
8
24
1
4
4
4
8
0
0
0
0
0
0
0
0
0
0
32
8
8
4
0
8
0
3
8
0
0
0
8
1
0
0
0
16
2
2
16
8
8
16
16
0
0
8
8
0
16
16
0
9
1
1
0
8
0
0
4
8
8
0
0
0
0
0
0
24
4
4
0
0
16
0
0
0
0
2
0
0
0
0
12
1
16
16
8
0
1
0
28
20
8
0
0
0
0
41
41
0
13
13
0
8
0
16
16
16
8
0
0
0
57
32
0
0
16
8
8
8
0
0
8
24
1
0
0
0
4
4
0
0
0
0
8
8
8
0
3
0
0
8
9
0
0
6
1
0
0
0
0
8
8
8
0
1
8
8
0
3
0
0
0
0
12
12
16
32
4
0
8
8
8
8
8
8
8
8
8
8
8
0
8
24
0
0
0
0
1
0
0
0
0
0
0
24
8
8
8
8
16
16
1
0
0
16
0
0
8
8
8
8
1
8
0
4
4
4
0
0
0
8
0
32
1
1
0
7
20
0
4
1
1
8
0
4
0
0
16
1
1
0
0
16
16
0
0
0
16
0
0
0
0
0
8
8
0
0
16
16
8
8
8
8
4
4
0
0
29
0
0
0
0
0
0
0
0
0
16
0
0
8
0
8
8
28
13
13
5
8
8
32
16
0
8
8
8
0
0
1
1
1
1
1
1
0
0
0
4
4
8
0
0
0
8
8
8
8
8
16
0
0
0
2
2
0
32
13
32
4
8
8
8
0
0
48
0
8
16
4
0
2
16
16
8
8
8
0
0
0
0
0
0
8
0
0
21
21
8
0
16
0
4
8
8
8
8
12
12
0
0
8
0
0
16
16
0
0
0
0
0
0
0
40
4
0
0
8
0
2
2
5
5
0
16
0
1
0
0
0
8
8
8
1
0
24
24
16
0
0
4
4
4
4
0
0
8
0
0
8
2
8
8
8
8
10
16
0
0
8
8
8
16
16
29
29
8
8
8
8
32
32
32
32
16
16
16
8
8
0
0
0
16
16
16
2
0
0
0
0
2
2
2
0
8
1
0
0
0
0
8
0
0
0
0
1
8
8
0
0
16
16
0
0
8
8
8
0
0
0
16
8
2
16
0
0
8
0
0
1
11
8
8
20
2
2
0
0
8
0
16
1
0
0
0
8
8
0
0
0
0
0
2
2
8
8
8
8
8
0
22
22
2
2
0
32
0
16
0
0
4
0
0
8
8
8
0
8
8
18
16
0
1
1
1
1
0
41
1
1
0
3
3
1
1
8
0
0
0
16
2
16
8
16
8
8
1
0
0
4
4
16
0
8
8
8
20
20
4
4
0
0
14
14
0
0
4
0
8
8
8
8
8
8
8
0
4
16
0
0
0
0
16
25
8
0
0
0
0
0
16
0
0
0
8
8
8
0
0
16
0
1
0
8
0
0
0
0
0
0
0
8
0
0
0
8
16
12
12
12
12
0
0
0
0
0
0
57
16
16
0
8
0
2
0
0
16
0
0
24
2
9
8
24
1
0
16
16
16
0
2
8
16
4
4
2
16
16
2
0
16
0
0
0
0
1
1
8
2
8
0
8
8
0
0
16
8
0
2
2
0
8
16
16
16
0
0
0
0
34
57
24
0
4
8
8
8
0
0
12
16
16
16
0
0
8
8
8
0
8
0
0
0
0
1
2
0
0
0
0
0
0
0
16
0
8
0
8
0
1
8
0
0
0
0
8
0
28
8
8
0
20
0
0
8
0
24
1
12
12
12
4
16
4
16
0
0
0
0
0
0
0
0
0
0
0
8
8
0
18
16
8
8
0
0
0
6
6
0
0
12
50
8
8
8
8
8
8
8
8
0
0
16
0
10
5
8
0
0
0
0
0
0
0
0
0
16
16
0
9
1
1
8
8
0
0
4
0
0
0
0
0
0
0
4
4
4
4
0
0
0
0
0
4
4
0
16
0
4
0
0
16
16
16
2
0
0
16
0
0
0
0
0
0
0
17
17
8
0
2
2
2
25
0
0
0
0
0
0
16
6
6
6
28
28
28
28
0
1
1
32
32
16
16
16
16
0
0
20
4
4
0
0
0
0
0
0
0
8
0
0
0
0
4
4
8
8
0
0
0
8
8
8
4
4
8
8
0
16
16
0
0
0
0
0
16
16
16
1
8
0
8
1
1
2
8
0
0
0
0
0
8
8
16
16
16
16
24
16
8
0
8
16
16
0
0
9
0
0
0
0
0
0
0
0
0
0
0
16
0
0
8
8
8
8
16
16
16
16
8
8
17
8
8
0
0
0
0
8
0
0
0
8
8
0
0
0
0
4
4
2
2
2
0
16
2
2
16
2
4
8
0
0
8
16
0
0
0
0
0
8
0
0
0
0
0
0
0
0
16
0
0
0
0
16
16
16
8
8
8
8
8
8
24
16
8
2
2
0
7
8
15
0
16
0
16
16
16
16
16
1
1
0
8
8
8
4
4
8
0
0
0
2
2
0
0
8
0
0
0
8
24
8
8
8
0
0
0
16
16
16
16
0
0
0
0
0
8
0
16
16
0
0
8
16
16
16
16
16
16
2
4
0
0
4
4
4
24
24
24
24
24
4
0
0
0
8
0
0
0
16
16
0
0
16
16
16
8
8
0
8
8
24
32
0
0
4
4
0
0
8
0
8
8
0
0
8
8
8
8
0
0
0
0
0
0
0
16
16
8
8
16
24
24
0
0
0
8
0
0
16
4
4
16
16
0
16
24
24
8
8
8
8
8
8
4
4
1
24
24
16
4
8
8
0
8
8
16
16
16
0
8
8
8
0
0
0
0
0
0
16
16
0
16
0
2
0
0
0
24
0
0
2
0
1
1
12
12
16
12
12
12
0
0
32
32
8
8
0
8
17
17
0
0
8
16
16
0
0
0
8
0
8
0
8
0
0
0
0
0
0
0
0
16
0
0
0
1
1
0
0
16
16
4
6
2
0
0
9
1
1
1
1
0
0
0
16
16
16
16
16
16
16
8
0
0
8
1
16
0
4
4
4
4
4
24
24
8
16
0
0
0
0
0
0
1
16
0
0
16
2
0
0
0
1
1
1
0
0
8
8
0
0
0
0
1
0
0
0
16
16
8
0
0
0
0
8
0
0
2
24
24
24
8
16
16
16
8
16
8
8
8
8
16
16
16
0
10
0
0
8
8
4
0
26
0
8
16
0
0
8
6
6
8
8
8
0
8
8
8
8
0
20
0
0
0
0
8
0
0
0
0
0
8
0
0
0
0
0
0
0
0
4
16
4
0
0
0
0
0
16
4
8
8
0
0
0
8
0
0
0
0
0
0
0
0
0
16
8
16
16
8
8
8
8
8
8
0
24
16
0
4
4
4
4
0
0
1
1
8
0
0
0
0
0
0
8
16
1
8
0
0
0
0
0
16
16
1
16
16
16
0
0
16
16
8
8
8
0
0
0
0
2
2
2
0
0
0
0
16
0
0
0
0
8
0
0
0
16
8
8
0
0
0
8
5
16
1
0
0
0
0
16
0
0
0
4
4
0
16
16
16
0
0
0
0
0
0
0
0
0
20
20
20
0
0
8
8
2
0
0
0
0
0
0
16
58
58
0
16
16
0
0
8
21
17
2
0
24
24
24
0
0
8
2
2
0
0
0
0
2
0
9
9
4
4
0
16
8
8
8
16
17
17
8
8
0
0
0
0
0
0
12
0
0
2
16
8
16
0
0
0
1
1
1
1
16
4
0
1
16
16
16
0
0
8
0
0
4
0
0
0
8
8
8
16
0
0
0
0
0
0
0
0
0
0
1
6
6
57
0
0
0
16
16
16
16
16
0
8
16
16
0
0
0
4
8
8
0
16
16
8
8
0
2
9
0
0
26
26
26
26
4
0
6
6
6
16
0
1
1
1
1
32
0
0
4
8
8
16
8
0
16
16
16
0
0
0
0
0
0
0
0
16
16
8
0
2
8
24
4
8
8
16
8
8
0
0
0
0
8
0
0
0
8
8
8
0
0
0
0
8
0
8
2
0
0
16
16
0
16
8
8
12
12
8
40
8
8
8
8
16
2
2
2
2
2
8
8
0
1
1
1
1
4
16
0
0
4
4
4
1
8
16
1
8
16
16
16
16
16
16
0
8
8
8
16
0
0
0
0
0
24
8
8
8
8
8
2
8
0
8
8
16
0
0
0
8
8
8
1
8
0
0
0
0
0
0
0
16
0
8
0
0
0
16
4
4
0
0
2
16
8
16
16
16
16
16
16
16
8
0
0
16
8
8
0
16
0
0
0
8
0
0
0
0
16
8
0
8
8
8
1
0
8
4
16
16
16
0
0
4
4
4
13
0
0
16
0
0
0
8
8
0
24
8
0
8
8
8
0
24
0
0
0
0
0
16
8
8
8
8
8
13
8
0
0
8
25
25
25
2
0
0
4
0
0
0
16
16
0
0
0
0
48
8
8
0
9
2
16
0
0
0
1
16
16
16
16
16
16
16
0
0
32
0
0
0
8
0
0
0
0
16
8
1
0
8
0
0
16
16
0
0
32
32
5
5
5
16
16
16
16
16
16
16
16
0
0
0
0
16
24
24
24
16
1
0
1
0
32
32
32
0
8
8
8
8
0
20
0
16
16
2
2
2
2
2
2
8
8
8
8
8
8
8
0
0
0
24
16
16
0
16
16
16
0
4
4
0
8
20
0
32
8
1
1
1
1
8
8
0
0
32
9
9
24
28
0
0
0
0
0
0
0
0
8
0
0
0
0
0
8
8
0
0
0
4
0
1
0
0
0
0
26
0
16
0
0
0
0
0
4
4
4
0
0
8
0
16
16
16
0
16
16
0
0
0
8
0
0
8
8
8
0
0
24
0
0
8
0
0
0
0
0
0
8
16
0
8
8
0
0
0
0
0
0
24
16
0
0
0
0
0
0
0
4
8
0
0
8
8
8
0
1
8
8
0
0
0
8
0
1
0
57
4
0
0
0
0
0
8
8
8
24
0
0
2
2
1
0
0
0
0
0
16
8
42
42
42
42
42
9
0
1
0
0
0
0
8
8
0
0
0
0
0
16
16
16
16
0
0
0
16
0
0
0
0
0
8
8
0
0
4
4
4
0
0
8
24
24
24
16
16
8
16
16
0
6
0
0
0
0
0
1
8
8
8
0
0
0
8
8
0
8
8
8
4
16
0
0
0
0
0
0
0
0
2
8
8
8
0
8
8
8
8
8
0
0
4
4
4
0
0
32
32
32
0
0
16
16
8
0
2
2
2
8
8
8
8
0
16
16
16
16
16
0
0
0
0
0
8
8
0
0
16
4
4
0
8
24
16
4
4
0
0
0
0
0
0
16
8
8
8
0
0
0
0
4
4
8
0
0
0
2
0
0
0
1
0
9
9
8
2
0
0
0
0
0
0
16
16
16
16
0
0
0
16
24
0
0
0
8
0
0
8
8
16
0
0
8
0
0
0
45
24
0
8
4
24
24
0
0
0
4
4
0
0
0
0
0
0
8
16
16
16
8
0
0
2
0
0
0
8
0
0
0
0
0
0
0
16
16
0
8
4
4
8
16
1
8
8
16
0
16
1
16
16
16
0
0
0
8
0
26
0
0
0
16
16
16
48
16
0
0
0
0
0
0
0
16
0
0
0
0
0
26
26
26
26
0
0
8
8
16
1
1
8
24
24
24
16
16
16
16
0
4
8
4
16
16
0
2
0
0
0
0
0
0
0
16
16
16
0
16
0
4
4
4
0
0
0
8
8
8
8
8
0
4
16
32
32
16
2
16
8
8
1
1
1
1
1
1
8
8
8
8
16
0
0
16
1
0
0
0
8
8
0
0
0
0
0
8
1
0
16
8
8
0
0
8
34
34
34
8
4
4
4
0
0
0
0
8
8
0
0
0
0
0
0
3
3
0
0
8
8
8
1
0
8
8
1
16
16
16
16
4
0
8
8
0
0
0
8
0
0
16
0
2
0
0
16
16
16
2
0
0
0
4
8
8
2
0
0
0
6
0
0
8
1
4
4
4
4
0
0
12
16
1
8
8
8
8
0
20
0
0
0
20
8
2
2
2
2
0
0
3
16
0
0
16
16
16
8
8
8
8
8
1
0
1
1
1
1
4
16
4
2
2
24
24
8
16
24
16
0
0
20
20
0
8
8
0
8
12
12
48
0
0
0
0
0
16
16
8
8
2
0
4
2
2
6
6
32
32
4
4
4
0
0
8
4
8
0
0
0
2
0
0
0
0
0
0
16
4
16
16
16
4
1
0
8
4
4
4
0
0
16
16
1
1
0
4
8
0
0
0
0
8
16
0
0
2
0
0
0
0
8
0
2
4
16
0
0
0
0
32
0
0
8
8
8
0
0
8
0
0
24
8
8
0
0
0
8
8
18
16
16
16
0
0
0
0
8
8
8
8
8
8
8
8
8
8
8
28
0
0
8
8
8
8
8
1
1
16
24
4
0
0
0
0
0
0
4
4
0
0
0
0
0
0
1
1
17
17
0
0
0
0
0
8
0
32
32
12
12
12
12
8
0
16
16
4
0
1
0
8
4
4
4
8
0
0
8
0
0
0
0
0
8
8
8
16
2
2
0
8
0
0
9
9
16
8
8
2
0
0
2
16
1
1
4
4
4
4
4
4
4
4
4
4
24
8
2
2
8
8
8
0
0
8
8
0
0
0
0
0
0
0
16
16
0
11
11
2
0
0
8
0
2
2
2
2
8
4
4
0
0
0
0
0
0
0
0
8
8
8
8
0
0
0
0
0
0
0
0
32
32
0
16
16
0
0
0
16
16
16
16
16
0
0
8
8
8
0
0
28
32
32
16
4
40
0
0
0
0
0
0
16
0
8
8
8
8
8
8
0
0
0
1
1
16
16
16
4
0
2
16
0
8
8
0
8
0
0
8
2
0
0
0
8
0
0
0
0
0
0
0
0
8
0
16
16
1
0
0
0
8
0
0
24
0
0
0
0
0
0
0
4
8
16
4
0
28
0
0
2
0
16
0
0
0
16
0
0
1
0
0
4
8
8
8
8
8
0
0
0
8
8
8
8
8
8
8
16
0
0
0
24
0
0
0
0
0
0
17
17
8
8
0
0
16
25
1
1
8
8
4
4
4
0
0
0
0
0
0
0
16
0
0
0
0
8
8
8
0
0
0
0
1
1
0
0
0
0
0
0
32
32
0
0
0
0
2
16
16
16
1
1
8
8
8
0
24
32
8
0
16
0
0
0
1
1
1
18
0
16
16
16
16
16
0
0
0
4
16
1
0
16
0
0
9
9
24
24
0
0
0
0
0
8
8
8
8
8
0
4
4
4
4
1
1
16
0
0
0
0
0
0
24
0
0
0
1
1
1
0
2
2
2
2
2
0
40
8
0
8
0
0
0
8
20
20
6
0
0
0
0
8
4
4
16
16
16
16
16
16
16
0
8
0
0
2
0
0
0
0
0
0
0
0
32
0
0
0
20
16
8
0
0
0
0
1
0
0
0
2
1
1
1
1
8
17
17
17
20
4
0
16
0
1
1
1
0
0
0
32
8
0
17
17
0
8
8
16
16
16
4
4
4
4
0
0
0
8
8
8
0
0
8
0
1
1
0
0
16
8
0
0
48
8
16
16
0
0
0
0
16
16
16
28
28
28
0
36
0
0
8
4
0
0
32
32
0
12
0
0
6
6
6
6
6
8
0
24
24
0
8
8
0
1
40
40
40
28
8
8
8
0
8
4
4
0
0
8
8
1
1
2
8
0
0
0
0
4
0
0
4
4
0
12
32
16
1
1
0
0
24
1
0
8
8
8
16
0
0
0
0
0
0
16
0
9
9
0
0
0
0
0
0
0
0
8
0
8
0
8
8
0
0
0
0
0
16
33
16
16
8
24
4
1
1
1
0
16
0
0
0
0
0
0
0
0
8
0
0
0
0
0
40
0
0
0
0
8
0
1
1
0
0
0
0
8
8
0
0
0
0
16
0
8
0
0
0
16
0
4
8
8
8
0
0
0
16
16
20
20
4
8
12
8
8
0
0
0
0
0
1
16
4
8
8
0
0
8
0
8
8
8
8
0
0
0
0
16
48
48
1
2
20
20
28
1
0
0
29
2
2
4
18
0
16
16
2
2
0
0
0
16
16
16
16
0
0
41
4
0
16
0
3
0
0
4
0
0
0
0
0
8
16
16
0
8
8
8
9
8
16
0
8
8
4
4
4
4
8
16
16
16
1
1
1
1
1
16
16
16
16
22
8
4
9
16
0
0
0
40
8
16
0
0
0
12
12
0
0
5
0
32
0
0
16
1
0
0
8
16
0
16
0
0
8
8
8
2
16
1
10
10
8
0
2
16
0
0
26
1
2
2
0
8
8
8
16
16
16
16
0
0
0
0
8
8
16
16
16
16
0
0
0
12
12
0
0
0
32
0
8
0
16
0
0
16
16
16
16
16
16
8
8
8
16
0
0
19
0
0
16
2
17
0
0
16
0
20
20
25
0
16
16
4
5
0
0
0
1
4
0
8
8
0
0
24
0
0
0
16
0
0
0
0
4
4
4
16
0
8
8
8
2
0
0
0
0
9
8
0
0
0
16
0
0
0
0
0
0
0
8
16
32
4
1
4
1
0
0
0
0
0
16
8
4
0
16
0
8
8
8
8
0
0
0
0
0
0
32
0
0
0
8
20
20
0
1
0
8
0
0
0
0
4
32
4
16
8
0
0
0
8
32
32
32
4
16
8
8
8
8
8
16
8
9
8
0
8
8
0
16
0
8
0
1
0
0
4
16
0
0
0
8
8
8
26
0
8
8
0
0
0
16
1
0
0
8
0
9
0
0
0
0
16
0
0
0
0
8
4
0
8
8
8
0
0
0
20
20
0
8
8
0
16
8
8
9
8
2
0
0
0
0
0
0
0
16
5
0
0
0
0
0
0
0
0
0
16
8
8
0
16
0
8
0
8
8
0
0
0
8
8
8
8
1
1
8
8
16
8
0
0
0
8
8
8
0
0
0
0
24
16
0
0
26
41
41
0
4
0
0
0
8
2
12
16
16
8
0
8
8
0
4
4
4
8
8
0
0
0
0
0
0
0
0
0
8
0
16
16
16
0
42
0
0
0
8
16
16
4
4
4
8
0
2
16
0
0
0
0
1
1
20
1
2
8
9
9
2
6
6
0
0
0
0
8
8
0
8
8
16
0
48
24
8
8
0
0
16
32
0
0
0
0
0
0
0
0
0
8
18
18
12
12
0
0
2
0
8
8
8
0
8
16
16
16
0
33
33
0
3
16
16
0
8
18
18
18
18
0
8
16
33
0
0
8
8
0
0
0
0
0
0
2
16
0
0
8
8
0
0
0
0
2
0
0
0
0
0
2
0
0
0
0
17
0
0
0
0
0
16
8
23
23
23
0
0
4
4
8
20
8
8
0
1
1
0
0
8
18
16
16
32
16
0
0
0
16
0
8
8
0
0
1
2
0
0
4
16
2
2
2
2
0
0
0
8
2
2
0
0
16
16
0
0
0
0
0
8
16
16
16
0
0
20
20
0
18
3
16
16
16
16
8
0
16
2
2
0
8
0
0
0
0
0
0
8
0
0
0
0
4
4
4
2
1
1
1
1
8
8
8
0
16
16
2
0
0
0
0
0
0
0
16
0
16
4
0
32
32
4
0
8
0
0
1
12
0
0
8
0
0
0
0
0
0
28
8
16
16
16
8
8
12
0
0
0
0
0
0
0
0
0
16
16
4
4
0
0
16
0
0
4
0
0
33
33
4
5
0
2
16
12
0
0
0
8
0
0
0
0
0
0
0
0
2
10
8
8
0
8
16
16
16
0
24
16
8
0
0
16
0
0
8
1
16
16
0
0
0
0
0
8
16
0
0
0
16
16
0
0
0
0
0
0
0
1
32
32
0
0
12
16
16
0
0
0
0
0
8
16
16
16
1
0
8
8
1
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
0
8
0
8
8
8
8
4
4
4
5
8
8
0
1
20
4
2
8
16
8
8
0
0
0
0
0
4
4
4
8
0
4
4
8
8
2
8
8
4
0
0
8
0
1
8
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
2
0
8
2
0
0
8
8
16
0
2
2
0
0
0
0
8
0
0
0
0
1
1
16
0
0
0
2
2
0
0
16
0
0
8
8
0
0
0
0
24
0
0
0
2
0
0
10
16
0
0
8
0
25
8
1
1
0
1
1
0
8
32
32
32
0
8
32
0
8
8
8
8
8
48
0
8
8
12
8
37
37
0
16
2
16
0
12
0
0
0
8
4
16
0
3
0
0
8
0
2
0
16
8
8
8
0
0
8
8
8
4
12
0
1
8
8
8
1
8
8
0
2
16
16
4
4
16
16
16
16
16
16
0
0
4
4
4
0
0
0
8
8
0
4
8
0
0
8
2
18
2
0
0
0
0
0
0
3
0
8
0
0
0
8
16
0
0
0
8
0
16
0
1
0
8
8
8
24
24
16
16
2
2
2
2
0
8
8
8
8
0
4
8
0
8
0
0
0
8
6
8
0
0
8
0
0
49
49
0
0
0
0
4
4
0
8
0
0
1
1
1
8
24
8
8
8
0
0
0
4
4
0
0
0
0
8
8
8
0
0
0
4
0
0
0
16
0
0
4
0
8
8
8
4
0
8
8
0
0
8
0
0
2
2
2
2
8
8
0
16
16
29
8
8
8
0
4
16
0
16
0
0
0
16
0
0
0
0
0
8
0
0
16
4
0
48
48
8
8
0
9
9
0
4
4
4
1
1
1
28
16
0
2
4
24
24
24
0
0
0
52
32
0
2
0
0
0
1
8
8
8
0
8
8
8
0
0
0
8
12
13
16
16
2
2
0
0
48
0
2
2
2
8
8
1
0
0
0
8
8
0
2
8
40
49
8
8
8
8
8
0
0
0
0
0
0
8
8
4
8
8
0
0
25
25
8
8
8
8
16
16
32
7
0
0
0
0
0
0
8
20
4
0
0
8
0
8
8
0
0
8
8
32
8
8
0
0
20
20
32
32
0
0
0
4
8
8
4
16
1
0
24
24
24
24
16
16
16
16
16
16
16
0
8
1
1
1
4
0
8
8
0
6
0
0
8
8
0
0
1
0
0
0
0
8
8
9
17
0
0
0
0
0
8
0
16
8
8
8
16
0
0
4
0
32
0
0
16
0
8
8
0
0
0
32
32
0
16
0
16
16
0
4
8
8
8
0
1
16
16
0
16
0
0
0
0
4
24
0
57
8
8
28
0
0
0
0
0
0
4
1
1
8
16
0
40
40
5
16
8
2
0
48
4
0
0
8
0
2
2
0
0
48
0
0
8
0
8
0
8
0
0
0
0
0
1
0
33
0
16
2
2
0
16
16
4
4
4
0
0
0
24
24
0
4
0
8
8
2
0
0
0
0
0
0
0
0
8
8
8
8
0
0
16
8
8
8
8
34
34
0
0
0
0
8
8
16
16
16
0
0
0
5
8
0
16
16
16
24
0
0
8
8
0
0
0
0
0
8
8
0
8
48
8
16
0
0
8
8
32
16
0
8
8
8
16
0
0
0
0
0
0
8
1
1
0
0
0
0
2
2
2
0
25
25
0
0
16
16
12
2
2
4
4
4
4
4
0
0
17
17
17
17
17
0
0
16
1
0
4
0
32
16
8
0
16
16
16
16
16
0
0
0
0
1
13
0
8
16
0
8
16
16
0
8
8
0
0
16
0
0
0
0
4
4
4
24
8
0
0
4
34
2
24
8
0
0
8
0
0
8
0
8
8
16
1
0
8
8
4
4
2
0
0
0
0
0
1
8
8
8
0
0
0
16
0
0
4
0
32
32
0
16
16
2
0
4
4
4
0
0
8
1
16
16
0
1
10
0
0
4
0
8
16
0
0
0
0
0
0
16
8
0
0
0
0
8
8
8
8
8
8
8
0
6
32
24
0
8
0
0
0
24
0
0
0
0
17
17
16
0
0
16
16
8
33
8
0
0
0
0
0
0
0
8
8
8
8
24
0
0
0
2
0
0
0
16
16
16
16
16
16
16
8
0
16
16
0
0
0
0
4
8
8
0
0
0
0
0
0
0
0
2
9
0
8
8
8
0
0
0
0
17
16
0
0
0
40
8
8
8
8
16
0
1
1
18
18
0
4
0
8
0
0
0
4
2
0
0
8
32
0
0
0
8
8
8
8
0
0
9
4
0
0
0
8
0
0
0
0
1
2
8
0
2
1
0
0
0
1
32
16
0
0
8
0
0
8
16
16
16
16
16
0
0
0
0
12
0
8
0
0
0
0
4
4
8
0
1
1
1
1
1
1
1
1
1
8
8
0
16
1
8
8
0
32
16
0
16
16
16
16
0
2
1
0
8
16
24
8
0
0
0
0
16
0
16
0
0
16
16
16
16
0
17
1
0
12
1
1
4
0
0
0
32
4
4
4
1
8
0
0
0
0
0
0
0
8
0
16
16
4
1
1
1
1
0
1
1
0
32
0
16
16
0
16
16
16
16
16
4
0
0
0
18
24
4
4
0
0
0
0
0
0
0
1
5
5
5
5
5
16
16
16
0
0
13
13
16
16
16
8
0
0
0
0
0
0
2
2
0
0
17
17
2
0
0
0
8
0
0
4
16
34
8
0
8
8
16
8
8
8
8
8
16
16
16
16
0
4
0
0
0
0
0
0
0
16
16
2
8
0
41
41
12
2
32
16
16
16
0
8
8
8
8
8
8
16
8
2
1
1
1
1
1
1
0
0
16
9
0
0
0
0
0
4
0
24
24
2
16
8
8
2
8
8
4
0
0
8
0
8
0
0
16
16
16
16
16
1
8
17
32
0
15
16
0
0
0
2
8
8
0
0
0
0
0
0
0
0
0
8
8
8
8
0
0
0
8
8
8
32
0
0
2
16
12
0
8
16
16
16
0
0
0
0
0
0
0
32
32
16
0
0
0
0
0
16
0
3
8
8
0
8
0
4
0
16
0
4
4
24
0
0
8
0
1
0
8
16
41
17
0
0
1
16
16
0
0
0
1
1
2
0
8
0
0
16
4
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
17
0
0
16
16
16
0
16
2
0
8
0
0
0
1
0
8
0
2
2
2
2
5
16
0
2
0
0
0
0
2
0
20
4
2
0
0
0
16
16
0
24
16
16
0
0
8
2
1
16
0
0
28
2
0
16
16
16
16
16
16
16
16
20
0
0
0
0
0
8
8
8
0
10
0
0
16
4
2
2
2
10
8
4
4
16
0
8
17
17
0
0
4
0
8
8
8
8
0
0
0
17
17
25
1
8
8
16
1
1
25
25
0
0
8
8
8
8
8
0
0
2
2
0
26
26
16
0
2
2
2
2
0
8
8
8
8
0
0
0
0
0
0
0
0
0
1
16
0
8
0
0
0
20
8
1
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
24
24
24
0
8
0
8
8
0
0
0
0
16
0
0
0
8
1
8
0
0
0
0
0
0
20
0
0
4
0
16
16
16
0
1
0
16
16
16
16
0
0
16
16
4
1
24
48
0
2
0
0
0
32
8
8
0
0
8
4
4
8
0
0
0
0
4
8
0
0
0
0
0
0
0
0
0
8
0
16
16
16
0
0
0
0
8
4
2
0
0
4
4
0
0
0
4
16
0
1
48
12
12
16
16
0
16
16
16
16
16
1
2
8
21
0
0
40
3
0
16
0
0
0
0
8
0
8
0
1
0
0
0
8
8
8
8
8
0
0
0
1
0
24
8
36
17
0
8
8
1
2
28
2
2
2
2
0
0
18
1
1
0
4
0
0
1
0
0
0
16
16
0
0
0
1
16
0
0
1
1
0
0
0
0
0
0
10
16
16
8
0
0
17
17
17
0
0
0
0
0
0
0
0
2
2
0
48
48
8
48
8
8
0
0
0
0
0
60
18
8
8
8
0
0
16
16
16
0
0
0
0
0
0
0
3
8
8
2
2
2
10
2
0
4
0
2
2
0
12
16
4
4
20
20
16
12
12
12
0
16
16
16
16
2
2
2
4
5
16
0
16
4
4
4
4
4
4
0
0
8
8
6
16
16
40
8
4
18
18
0
0
0
0
0
16
0
0
12
34
16
16
2
2
0
16
0
0
0
0
5
5
0
0
32
32
12
0
4
0
0
0
0
16
8
0
0
8
8
0
8
0
0
8
8
16
4
16
16
0
0
8
4
20
20
20
20
0
12
16
0
0
0
8
0
16
1
0
0
12
12
0
0
0
8
8
0
0
8
8
1
0
0
4
8
0
0
8
2
8
0
0
0
1
1
1
16
16
1
0
0
0
8
8
8
8
0
1
1
0
0
0
0
16
17
17
17
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
24
0
8
8
0
0
0
0
0
0
2
8
16
16
0
1
1
1
0
17
17
0
8
8
8
8
8
8
4
8
16
24
8
2
2
8
16
8
8
8
8
8
0
4
9
8
0
2
4
16
16
0
0
0
33
0
0
0
0
0
1
1
8
8
8
8
8
4
10
8
0
4
4
16
0
0
0
16
16
16
9
0
0
0
0
0
0
8
1
20
16
16
4
4
0
1
16
16
16
0
0
2
0
44
44
44
8
8
0
0
0
40
1
1
0
0
4
4
4
0
0
8
0
0
4
0
0
12
16
0
0
16
0
0
16
0
0
8
16
8
8
0
0
8
0
0
8
0
0
0
16
16
16
16
0
8
8
8
0
0
0
1
9
8
8
8
0
0
8
16
16
16
16
16
2
2
16
16
16
16
2
1
8
0
0
0
0
0
24
0
0
8
16
0
8
1
4
16
16
16
16
16
0
0
0
0
28
1
8
8
17
17
16
0
0
8
40
0
0
0
0
2
0
34
4
8
8
8
8
0
0
8
8
8
24
0
0
0
0
16
16
0
0
0
24
16
16
16
16
16
51
1
2
16
8
5
0
0
0
1
8
16
0
8
8
8
8
8
0
0
18
18
8
4
4
4
16
0
0
0
0
0
8
24
8
0
4
4
4
0
0
0
0
0
0
8
8
8
8
0
8
0
16
16
24
24
16
16
16
16
16
16
0
0
4
4
4
0
8
0
0
0
8
8
17
0
0
16
16
2
8
16
8
16
0
0
8
0
0
0
4
0
1
1
16
16
0
0
16
16
16
16
2
2
2
0
8
8
4
4
4
20
16
0
0
0
0
0
16
16
0
0
0
9
9
17
1
8
0
1
12
12
8
16
0
0
0
0
2
16
40
0
0
0
0
0
0
0
0
0
4
8
8
8
0
16
8
8
8
8
0
9
9
9
0
0
0
0
1
8
8
48
0
1
1
0
0
8
8
0
16
16
0
0
0
0
0
16
16
8
0
16
0
8
0
0
8
0
0
0
8
8
2
2
16
20
0
8
2
10
10
32
0
0
17
17
9
9
49
8
8
8
0
2
0
8
1
1
8
0
2
2
0
0
8
0
0
32
32
32
0
8
8
1
6
6
6
16
16
8
2
2
2
0
0
0
0
0
2
4
4
0
0
8
0
8
8
16
16
8
8
0
4
0
0
0
0
8
8
16
16
0
8
8
8
4
4
16
0
0
1
0
8
8
0
0
0
0
0
24
24
2
0
8
8
16
8
1
4
0
8
4
8
8
0
8
8
0
0
8
0
0
8
0
4
4
4
4
0
0
0
32
0
16
16
8
2
2
0
0
0
0
0
0
16
16
16
16
8
0
0
0
0
0
9
4
8
1
8
8
16
0
0
0
16
2
17
17
17
17
0
0
0
8
8
16
16
16
17
17
0
0
0
0
0
0
8
8
8
0
8
8
8
8
1
1
0
0
4
8
8
4
16
2
2
16
16
4
4
0
0
1
8
0
0
8
2
0
0
0
16
16
16
16
16
8
16
16
0
4
8
8
16
8
0
0
8
1
0
0
0
8
20
20
4
4
4
4
4
0
16
8
8
16
0
0
0
16
0
16
16
16
16
8
0
2
22
8
0
0
0
0
4
0
8
9
8
0
0
0
8
8
0
17
0
0
0
0
8
0
0
0
8
8
8
8
8
0
0
1
0
0
8
1
4
0
0
0
0
8
8
8
8
8
8
8
56
8
2
2
2
2
2
2
0
16
4
0
0
16
0
8
0
0
24
24
8
8
8
0
0
0
0
0
4
4
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
16
16
32
17
0
0
8
17
8
0
2
2
0
0
0
8
0
0
0
0
0
0
0
16
4
4
0
16
4
0
16
8
4
1
16
8
12
8
0
0
16
16
2
0
0
8
8
0
0
0
18
0
0
8
8
8
8
8
8
25
8
8
8
0
0
33
33
0
0
0
0
0
8
1
8
8
24
24
0
0
16
0
0
5
16
16
16
16
16
0
4
0
0
16
0
8
0
0
8
0
0
8
8
0
0
8
8
8
16
16
8
0
0
0
0
0
4
0
16
16
50
0
28
1
0
0
16
2
0
0
0
0
0
0
0
0
0
16
0
2
0
0
0
0
8
8
8
8
8
2
16
16
16
0
0
1
0
0
0
0
8
8
0
0
0
8
10
10
10
32
9
0
1
4
8
8
0
0
0
16
16
0
8
0
8
8
8
8
8
8
0
0
0
0
16
16
16
0
0
16
16
4
4
8
8
8
8
8
16
16
0
0
0
24
8
0
0
4
4
0
0
16
0
16
16
12
0
0
0
0
0
8
18
24
16
0
0
8
0
0
0
4
8
8
8
10
10
10
10
8
8
8
8
8
3
3
3
0
0
0
0
8
0
0
0
0
0
8
16
16
16
16
16
0
6
16
8
0
0
16
8
8
8
8
8
8
8
8
8
8
8
8
0
4
0
0
0
0
8
8
16
16
0
0
8
1
8
8
8
48
1
1
25
0
0
0
0
16
0
2
16
0
0
40
40
0
0
8
8
8
4
0
8
8
0
16
16
16
8
0
17
17
17
0
0
0
16
0
16
16
8
8
8
9
16
0
0
0
1
1
1
1
32
8
1
1
8
8
0
16
16
16
16
1
0
0
0
16
0
0
8
8
0
0
0
0
8
32
0
16
8
8
8
8
8
0
1
4
4
4
4
0
0
0
0
8
8
8
2
8
8
8
8
8
1
0
8
24
24
1
6
6
0
0
0
16
8
16
16
0
41
41
0
0
0
0
0
0
0
8
0
0
0
0
0
4
9
0
0
0
0
0
2
1
0
8
16
1
0
16
16
1
1
1
0
0
16
16
16
0
36
0
8
4
4
0
16
0
0
0
0
8
0
0
16
0
25
0
8
16
16
16
0
0
4
2
0
0
1
8
0
16
16
8
8
8
0
0
0
0
0
0
0
0
17
17
0
0
10
10
10
10
8
24
18
0
0
9
8
8
0
1
0
0
0
0
6
0
16
0
0
8
8
8
8
16
24
8
9
8
10
8
8
29
28
0
8
1
0
0
8
4
0
0
16
0
0
0
0
0
0
0
0
0
8
8
17
0
16
20
4
16
8
8
33
0
2
24
24
0
0
0
0
0
0
0
0
0
0
24
24
24
24
24
8
0
2
2
8
0
16
16
8
16
1
0
0
0
0
0
8
12
8
8
8
2
0
0
16
16
16
16
16
12
0
2
0
16
16
1
1
25
0
16
1
2
4
4
4
0
0
0
2
0
8
4
16
4
16
16
32
16
0
16
8
16
16
16
0
0
0
0
8
14
0
0
2
0
0
0
0
48
48
0
8
16
0
0
0
8
8
8
8
8
0
0
0
0
4
4
8
8
0
0
0
32
24
24
0
0
0
0
0
16
0
0
2
2
16
0
2
8
4
8
8
8
22
8
0
0
8
0
0
0
1
0
0
0
0
0
0
16
32
32
32
32
32
32
0
0
0
19
0
16
16
0
0
0
0
0
0
4
8
0
8
8
8
8
8
8
0
0
8
1
1
1
0
0
0
0
0
0
4
4
2
0
1
40
16
0
0
0
32
32
32
6
6
8
8
8
8
8
24
0
0
0
4
0
8
8
0
0
8
8
8
1
4
4
2
0
0
0
16
8
0
8
8
8
8
8
8
8
8
4
4
8
0
4
40
40
40
0
8
16
16
16
16
16
0
0
0
0
16
2
4
4
0
32
32
32
0
0
0
4
0
8
16
9
62
8
8
8
4
4
16
17
0
8
0
0
0
0
8
1
0
16
1
0
8
8
0
9
0
0
0
16
4
4
8
5
0
0
8
0
0
0
9
9
9
16
16
8
0
0
0
4
0
0
0
0
8
16
24
24
24
24
24
4
0
0
8
0
0
0
0
0
8
0
0
2
2
0
2
0
8
32
0
0
8
8
0
0
0
8
0
0
0
8
4
4
41
0
0
0
0
8
0
18
0
24
20
0
8
0
0
0
2
8
8
8
16
0
0
8
0
0
32
2
16
16
16
4
0
0
8
0
0
0
0
0
1
1
24
0
0
0
0
0
0
0
4
0
0
0
0
0
0
52
2
2
2
2
0
0
2
8
8
0
1
8
8
8
0
0
0
1
17
17
0
0
0
16
0
0
0
0
0
0
8
2
0
0
0
8
0
0
2
0
0
0
0
2
8
24
0
0
4
4
4
0
2
0
49
0
6
8
8
0
0
8
0
0
16
16
16
0
8
0
16
0
0
0
0
1
0
8
0
8
4
0
0
8
8
8
8
8
16
8
0
8
16
16
2
0
0
0
0
26
26
4
0
16
16
16
16
16
16
8
0
0
8
0
0
0
8
8
16
16
0
32
4
0
0
1
1
1
8
8
0
0
0
0
8
8
0
4
0
4
8
16
16
16
0
32
32
32
0
0
0
0
0
1
0
0
2
2
2
0
0
2
0
16
16
0
1
1
4
30
30
30
30
30
0
0
16
0
0
0
8
16
1
1
0
8
8
10
0
0
0
0
0
2
0
0
0
0
2
2
0
16
2
0
16
16
8
8
8
0
8
8
4
4
4
4
2
8
0
0
0
0
0
8
8
8
0
8
8
8
1
1
0
0
0
24
4
4
8
1
0
0
4
0
0
0
1
0
8
8
16
16
16
16
0
8
1
1
1
0
0
0
0
0
2
2
33
33
4
0
4
4
4
4
2
2
2
16
4
40
8
8
1
1
0
0
0
0
20
0
44
44
0
0
0
0
16
2
8
4
16
0
16
24
8
8
8
0
8
0
1
0
0
8
0
0
0
0
4
0
1
1
0
8
0
1
0
0
2
2
8
0
0
2
2
0
0
0
4
4
16
16
16
44
0
2
2
16
0
0
0
4
0
16
16
0
0
0
20
20
20
0
8
24
8
8
8
16
8
16
8
8
0
8
0
0
16
0
16
16
8
1
1
32
0
0
0
0
8
0
0
8
4
0
16
8
8
8
8
8
0
0
8
16
1
16
0
12
12
8
8
0
0
0
0
0
0
16
0
2
2
2
2
1
8
0
0
8
0
2
8
8
8
8
16
0
8
8
16
16
8
0
0
16
0
8
0
32
0
0
24
32
32
0
0
0
4
4
4
4
0
0
0
0
0
16
0
2
2
8
0
0
0
16
16
1
0
0
0
0
0
0
1
0
0
0
16
8
8
16
16
1
0
0
0
16
0
0
0
8
0
0
2
0
0
0
0
0
8
8
8
8
8
8
16
16
0
0
0
16
4
1
0
0
0
8
8
8
8
0
0
16
16
0
0
0
8
16
8
16
16
1
24
8
8
8
8
0
0
0
10
8
5
5
5
29
0
0
18
24
8
8
17
0
4
4
1
0
16
16
16
16
16
16
1
0
0
8
8
8
0
0
16
32
32
32
18
8
8
0
8
4
4
8
16
16
1
1
8
0
8
8
2
0
2
0
0
40
16
16
1
1
1
20
3
3
3
16
8
8
8
8
8
0
0
0
0
0
0
2
0
0
0
32
8
0
0
24
4
16
16
0
0
8
0
0
0
16
16
8
16
16
16
8
8
8
16
16
0
0
8
16
8
8
8
0
16
0
2
2
8
8
0
4
4
4
0
0
8
8
16
8
8
0
8
0
0
8
8
0
0
0
0
8
8
16
16
8
24
0
0
0
0
16
16
8
0
0
0
4
16
16
0
4
0
0
0
0
8
0
0
8
8
8
0
8
0
0
0
4
0
0
8
8
0
8
0
0
0
0
0
12
12
1
0
0
0
0
8
0
0
0
0
0
16
0
0
0
8
8
3
0
16
16
16
24
0
0
0
16
1
0
0
0
4
0
0
0
0
1
1
34
0
4
1
1
1
0
8
8
16
4
0
8
8
8
8
1
1
1
0
0
0
0
0
16
16
0
16
0
0
8
0
0
0
49
18
16
16
16
16
16
0
0
4
4
8
0
8
8
0
0
16
16
4
8
2
0
8
8
0
0
0
4
32
0
0
4
16
2
8
0
0
0
16
8
8
0
16
1
0
0
0
0
16
2
2
2
2
2
0
0
8
8
8
8
8
8
24
2
0
0
0
0
0
4
4
0
0
0
0
2
2
16
4
8
8
8
16
16
8
8
8
8
0
0
18
8
8
8
0
0
16
0
0
0
0
0
0
0
8
8
16
0
4
0
32
32
1
8
8
0
8
0
0
2
1
0
0
2
6
8
0
0
0
0
0
0
16
16
16
16
16
16
0
0
0
0
0
26
0
0
0
0
8
8
8
16
16
0
16
0
0
0
8
16
16
8
12
0
0
8
1
1
5
1
0
8
8
0
0
16
0
0
0
0
16
0
0
1
8
8
8
8
2
2
2
2
2
2
2
0
0
16
1
1
4
4
0
0
4
0
0
2
8
0
1
16
16
0
16
4
8
18
18
0
0
16
16
16
2
6
8
0
0
0
16
16
16
4
0
0
0
0
0
0
0
0
0
0
0
0
0
8
16
16
16
16
0
12
4
16
16
8
0
1
2
8
4
0
4
0
0
0
0
0
24
24
24
24
0
24
24
0
16
16
16
16
16
16
0
10
10
10
0
0
0
0
0
0
16
0
8
8
24
8
0
0
0
0
2
8
0
8
8
8
8
8
16
0
0
0
8
0
1
32
32
16
16
5
5
0
0
16
8
0
0
0
34
8
8
0
0
0
0
17
17
8
1
0
0
0
16
8
8
8
8
5
5
0
18
16
16
12
0
0
17
0
0
0
0
16
0
16
16
8
1
8
16
0
4
0
0
0
0
0
0
16
0
0
0
0
0
8
4
4
0
0
0
0
1
1
9
0
8
0
8
0
0
0
8
0
16
16
16
2
8
0
8
8
4
60
8
8
8
8
0
0
0
1
8
8
2
0
4
0
0
0
0
0
0
0
4
16
16
8
0
16
8
8
8
1
1
8
8
8
8
8
8
8
16
4
0
24
24
8
8
32
0
0
8
0
0
8
0
9
9
0
0
8
0
0
0
16
1
1
0
0
24
8
8
0
0
16
16
16
8
8
8
1
0
0
0
0
0
0
0
0
0
0
2
5
28
0
8
0
0
0
16
0
0
0
8
0
0
24
0
8
8
8
4
0
16
16
2
3
0
8
8
8
0
0
0
0
8
8
16
16
16
0
0
0
0
0
0
0
8
16
0
12
2
4
4
16
2
2
24
24
24
0
0
0
0
12
4
4
24
16
16
8
0
41
4
8
8
0
0
32
0
0
16
0
18
0
0
0
0
0
8
8
8
8
0
0
0
16
16
16
0
0
0
16
8
4
4
16
0
10
16
16
16
8
16
8
0
0
4
16
16
8
1
40
0
4
28
28
4
4
8
0
0
8
8
6
6
0
0
0
0
0
4
24
0
2
8
0
8
0
0
8
0
0
16
16
0
4
16
16
0
0
0
0
32
32
0
0
0
0
0
0
0
0
22
22
22
16
16
8
0
0
0
0
0
0
0
2
0
0
0
0
8
8
18
0
2
16
16
16
16
16
0
0
8
28
28
16
0
0
0
0
0
0
0
0
0
0
0
1
0
8
8
8
8
0
0
0
16
57
8
1
1
0
0
0
0
8
8
8
8
4
0
0
4
16
16
0
16
16
18
16
8
1
8
4
9
24
24
24
24
16
16
1
0
0
8
0
16
8
0
0
0
0
0
0
8
16
16
0
0
0
0
24
0
8
8
8
8
4
4
0
16
16
8
0
16
16
2
2
0
4
8
32
1
8
1
8
0
0
1
0
16
16
0
0
24
1
1
8
8
12
0
0
0
18
18
18
18
8
10
10
8
0
0
8
0
8
8
8
8
0
0
0
0
0
8
8
0
16
16
0
4
0
16
8
8
1
24
0
8
8
8
1
1
1
0
8
8
0
16
0
0
34
18
0
16
16
8
8
0
0
16
8
0
8
0
16
16
16
16
0
16
16
16
16
16
0
8
0
8
4
2
0
27
27
16
16
4
4
4
6
6
8
16
1
0
0
16
16
0
0
0
0
0
8
0
0
0
0
0
16
8
8
8
16
16
16
0
8
20
4
4
4
0
16
16
16
4
0
8
4
0
0
8
16
0
0
4
8
0
12
12
12
0
0
0
0
16
16
16
16
8
8
1
1
0
0
8
16
16
16
0
0
8
8
10
10
4
4
17
0
0
0
0
0
0
0
16
2
2
4
0
0
0
0
0
16
0
16
0
0
0
24
16
2
0
20
22
8
8
0
0
0
0
0
0
8
56
8
8
8
8
16
16
0
0
4
0
0
0
32
4
4
8
8
4
1
0
0
0
0
0
0
20
20
0
0
0
0
0
16
2
2
0
8
0
32
32
0
0
0
8
8
1
16
0
0
0
4
4
0
8
0
2
0
0
4
8
8
32
4
20
20
20
20
8
4
0
0
0
16
8
8
8
0
33
0
0
44
16
4
4
4
10
16
16
16
1
0
8
0
8
8
8
8
1
8
0
0
0
0
0
16
16
16
16
25
0
1
32
0
8
8
4
4
4
8
0
0
0
0
8
0
0
32
16
17
16
16
0
8
8
8
8
2
40
8
8
8
4
0
12
0
1
8
8
8
16
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
1
8
1
8
0
0
0
8
0
0
2
0
8
16
16
0
4
8
0
16
0
8
8
1
1
0
0
0
0
0
0
0
0
4
6
8
8
2
3
3
3
4
8
0
8
2
2
0
0
8
34
0
0
0
8
0
0
0
0
0
8
0
0
0
0
0
1
0
5
5
24
8
8
0
8
0
0
0
0
0
0
10
10
8
8
0
8
8
8
0
4
4
4
0
0
8
16
16
0
16
0
8
0
0
0
1
16
16
0
0
0
0
0
0
0
0
22
0
8
16
16
8
0
0
0
8
0
16
0
0
0
4
24
16
16
8
0
0
0
0
0
0
0
3
4
16
16
2
2
22
22
18
16
16
8
8
16
16
4
0
0
0
0
0
16
16
0
8
0
8
8
8
8
8
0
0
16
16
16
16
0
0
8
8
16
8
0
0
0
4
0
16
0
24
0
0
4
48
48
16
16
16
16
32
8
16
8
2
2
2
0
0
9
0
4
2
2
4
0
8
4
0
0
0
0
8
1
0
0
32
0
16
4
18
0
0
16
16
0
16
0
0
0
32
32
0
4
8
1
0
0
1
1
16
16
4
4
4
0
0
0
0
0
8
16
2
0
0
0
16
8
16
16
16
0
8
4
1
1
1
1
1
1
16
16
0
8
1
1
24
24
48
48
48
8
0
0
8
8
9
8
0
8
8
0
0
0
0
4
16
16
0
8
0
0
0
1
1
8
8
8
0
0
0
16
16
16
8
0
0
0
4
4
4
8
0
1
1
8
0
0
0
17
32
32
32
32
4
4
0
16
16
0
0
0
4
16
0
16
3
1
1
0
0
0
0
8
8
0
0
8
8
8
4
0
0
16
2
2
2
8
0
0
0
0
2
2
2
2
16
16
16
16
16
8
4
48
48
48
8
8
8
8
8
24
8
0
4
16
16
0
0
8
0
8
8
8
8
32
8
32
25
25
0
0
32
16
16
0
0
0
0
8
32
0
0
0
8
0
0
18
0
0
0
0
0
8
0
20
8
8
8
24
0
8
1
0
0
16
4
0
2
8
8
8
0
16
16
0
0
0
24
32
32
1
16
16
16
20
8
0
0
0
0
8
2
16
2
1
8
8
8
4
32
32
8
8
8
0
0
0
16
8
0
4
0
0
0
0
16
0
0
4
0
0
0
0
8
0
0
4
8
0
0
8
8
16
4
4
0
8
8
2
0
8
0
2
0
8
0
0
0
4
0
0
0
0
8
8
16
1
1
16
16
1
1
16
8
8
8
8
0
16
16
16
0
0
8
0
28
4
4
8
8
8
8
8
0
2
10
0
0
0
2
0
8
0
4
0
0
2
0
0
8
12
1
32
8
16
16
16
16
16
16
0
0
4
0
0
0
0
16
0
0
0
0
8
8
4
4
4
8
0
0
0
0
0
32
0
0
8
8
4
32
32
32
0
0
16
16
0
16
16
8
0
32
32
0
0
8
1
2
2
8
0
0
16
16
0
16
0
0
0
0
16
16
16
20
8
10
0
16
4
4
8
8
8
8
8
0
16
0
16
16
8
0
0
0
8
0
8
0
0
16
4
0
0
16
16
8
8
8
8
0
0
0
0
0
0
0
8
0
0
9
0
24
24
16
0
0
0
0
0
0
0
8
0
0
0
0
9
9
8
0
0
2
2
2
24
24
8
0
8
8
8
8
1
4
4
0
0
0
8
0
0
0
4
4
16
16
16
16
0
22
16
16
48
0
0
0
0
1
0
24
24
0
2
2
2
8
0
8
0
0
8
13
13
13
0
0
1
10
8
0
0
0
0
0
0
8
4
4
16
4
0
2
2
2
2
0
32
1
1
1
1
8
16
8
4
0
0
0
0
4
1
0
3
16
0
0
4
16
8
16
16
2
0
0
0
0
10
0
0
0
0
16
16
8
0
0
0
0
16
16
16
16
16
16
16
16
0
0
0
0
0
0
0
0
0
16
0
0
0
0
4
0
16
0
0
17
1
1
0
0
13
5
4
0
0
24
0
0
0
1
20
0
0
0
0
16
16
16
0
0
0
8
8
8
8
8
0
0
12
8
8
8
16
0
0
1
4
0
0
0
4
0
16
16
0
0
0
0
0
8
0
0
8
2
8
8
30
8
16
16
16
28
0
0
16
16
16
0
0
0
0
0
0
8
16
16
0
41
0
0
0
0
0
24
0
0
0
0
12
12
0
0
0
0
22
0
32
0
4
4
16
0
8
8
8
8
8
0
16
1
0
32
16
16
16
0
0
8
8
8
8
8
16
16
16
16
16
16
0
0
8
1
1
1
16
16
16
9
9
0
8
8
8
0
0
8
0
1
0
16
0
0
8
0
0
8
0
0
0
0
4
8
8
0
0
0
24
24
24
24
8
0
0
1
1
1
0
0
0
0
0
25
0
0
0
16
0
16
4
4
16
16
0
0
0
0
0
16
0
16
8
8
0
0
0
8
0
0
0
16
0
8
8
4
0
0
1
1
0
0
32
0
0
16
16
16
16
0
0
0
0
0
0
0
0
0
0
16
1
0
0
12
4
4
0
8
4
0
8
8
0
0
0
0
16
8
16
24
1
0
0
0
0
0
0
16
1
1
1
1
2
2
0
0
0
0
0
1
0
0
0
6
0
0
0
0
8
0
8
0
0
0
0
0
0
4
4
24
0
0
0
16
0
0
0
4
16
16
3
4
0
4
0
0
0
0
0
0
0
0
8
8
0
16
16
8
0
8
8
0
16
0
8
0
0
0
0
0
0
16
16
16
24
8
8
8
0
8
8
0
8
1
16
0
0
0
9
0
0
0
0
0
0
0
0
0
8
4
8
10
0
0
0
0
0
0
0
8
8
0
0
6
0
0
1
16
0
0
0
8
0
0
0
0
24
8
8
8
8
0
0
0
0
16
16
0
56
1
0
0
0
8
0
0
0
0
8
0
8
32
0
0
8
8
8
0
0
0
0
0
6
0
0
0
4
0
4
0
16
8
8
8
8
0
16
0
0
0
9
16
0
0
8
8
8
2
18
0
8
8
16
10
24
16
4
4
4
8
0
0
8
16
19
0
8
0
0
1
1
16
0
8
0
2
0
18
18
18
6
6
4
1
1
0
0
0
0
0
0
0
8
8
8
8
0
0
0
8
0
32
8
1
1
0
0
0
8
8
24
0
0
32
17
17
17
56
0
0
24
0
8
4
0
0
0
0
0
0
0
16
0
0
8
2
8
8
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
4
0
0
0
0
0
0
8
0
1
1
0
0
0
0
8
16
0
0
8
4
8
8
8
8
8
8
58
0
0
1
1
0
0
0
0
0
0
16
16
16
8
9
9
8
8
0
16
8
0
0
0
0
0
1
0
0
0
24
0
8
0
0
0
0
0
0
0
0
8
4
0
48
8
0
0
0
0
0
0
0
8
8
0
0
0
0
20
0
0
0
1
0
0
0
0
0
8
8
8
8
8
1
0
2
0
0
0
0
0
16
8
0
0
0
0
2
0
0
0
4
5
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
1
1
1
1
1
0
0
20
20
20
0
0
8
0
0
0
0
16
16
0
0
0
8
8
8
0
0
0
2
2
2
16
16
0
16
8
8
0
16
26
0
0
2
2
62
8
8
8
8
8
0
0
0
0
0
0
1
16
0
0
1
0
0
8
0
20
0
2
2
1
1
0
0
4
0
0
32
0
0
0
0
0
8
2
0
8
0
0
0
0
8
8
16
0
0
0
18
0
0
0
8
0
0
0
0
8
8
8
8
0
0
0
0
0
24
0
0
0
0
16
0
0
0
0
1
1
0
0
8
0
0
8
8
8
8
8
0
0
40
0
0
0
0
0
0
0
16
8
8
8
8
8
0
8
8
1
0
8
8
0
8
0
0
2
3
3
3
8
0
8
0
0
32
0
3
0
2
2
2
0
0
0
0
0
8
20
36
36
36
36
36
0
0
8
8
0
0
0
0
0
0
16
8
8
0
8
0
20
4
0
0
0
16
17
2
0
32
32
0
0
8
16
0
16
0
0
0
2
16
0
0
0
0
4
3
0
0
8
0
0
16
16
16
0
0
8
2
2
0
8
0
0
24
0
0
0
0
8
0
8
0
16
9
0
8
32
8
8
40
16
16
16
16
16
16
16
9
9
0
8
16
4
0
16
0
16
0
0
0
1
4
0
0
8
0
0
8
4
8
0
4
0
0
0
0
16
0
0
0
0
8
8
8
8
8
0
0
0
8
8
0
8
4
0
0
0
0
0
0
4
0
8
8
48
48
8
8
0
0
0
8
8
0
0
0
16
8
0
0
0
0
2
4
8
16
0
0
16
16
16
16
16
16
16
0
4
4
0
0
0
0
0
0
8
8
0
24
0
16
0
0
0
0
0
0
8
2
2
0
0
0
0
32
4
8
8
4
0
19
19
8
16
0
0
0
0
32
0
16
16
16
16
16
16
1
8
8
8
8
8
0
12
0
0
8
0
4
0
0
0
0
0
0
24
8
0
17
0
0
8
0
0
16
16
0
16
16
16
17
16
16
8
8
0
0
0
0
0
0
2
1
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
4
1
1
0
0
0
8
1
16
0
1
0
0
50
0
25
25
16
42
42
8
4
20
4
4
4
4
1
1
8
0
0
0
0
17
17
0
0
8
0
16
0
0
2
0
0
1
0
0
0
20
20
2
0
0
0
0
0
0
0
0
0
0
8
0
0
2
22
25
25
0
0
8
0
0
2
2
0
0
0
0
2
16
16
16
16
16
16
0
0
16
2
8
0
0
0
0
0
0
16
0
1
0
10
10
0
0
0
4
0
0
0
0
0
2
0
16
40
0
0
0
0
8
8
2
0
0
0
0
8
8
0
4
0
12
0
32
8
8
8
8
10
16
16
16
2
0
9
0
8
16
0
0
16
16
0
1
16
0
0
20
1
8
0
8
2
0
0
0
8
8
0
0
0
1
16
4
4
0
0
0
8
8
0
4
4
10
10
8
0
20
16
21
0
0
24
8
16
16
0
16
0
4
4
4
0
0
0
0
0
0
0
0
1
16
0
0
4
16
0
0
24
8
0
0
0
0
0
0
4
0
16
8
8
8
0
0
0
4
0
0
2
0
0
0
0
16
16
16
8
9
0
8
24
0
2
2
4
2
26
0
0
0
16
16
0
0
18
18
18
17
0
4
4
4
0
0
0
24
24
0
0
0
10
0
8
0
0
0
1
0
16
0
0
0
8
8
8
2
4
8
16
8
8
1
8
8
0
8
8
0
0
2
2
32
0
8
8
8
0
0
0
8
8
8
8
8
8
10
4
4
0
0
1
0
8
8
0
0
0
0
0
0
30
0
0
0
0
0
8
0
0
34
0
16
0
0
0
32
32
32
0
0
0
0
0
4
1
0
0
16
16
12
0
1
8
8
16
16
8
22
22
0
0
0
1
0
8
0
16
16
0
0
0
0
8
8
16
16
16
0
0
8
0
0
0
0
0
57
57
0
0
40
0
16
8
8
8
0
0
0
0
4
16
1
1
1
8
0
0
4
0
0
16
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
0
8
0
8
0
0
8
1
0
8
8
0
0
16
16
0
8
16
16
4
2
8
0
4
0
0
0
0
0
0
2
2
0
4
4
8
8
8
4
8
20
16
0
28
0
0
0
0
0
17
17
17
0
2
2
8
8
8
0
32
0
20
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
16
20
20
8
0
6
0
16
0
0
0
16
16
22
0
0
0
0
0
16
0
16
0
8
32
32
32
0
0
8
8
8
0
0
0
32
0
0
0
1
0
8
0
8
1
1
1
1
1
1
1
1
8
8
16
16
0
0
0
8
0
0
0
0
1
1
0
0
8
2
0
1
1
0
0
0
16
12
12
12
0
16
16
0
0
8
1
1
1
0
0
20
4
0
0
0
16
16
16
16
0
0
16
8
4
0
16
16
0
0
0
16
9
0
4
4
4
4
4
4
0
0
8
0
2
0
8
8
8
0
0
8
16
0
0
0
0
0
0
4
0
0
0
0
0
8
8
0
2
0
8
16
16
2
8
8
8
8
0
0
0
0
0
0
8
8
5
4
1
0
0
0
0
0
1
16
1
0
0
16
0
0
1
0
8
8
8
16
0
0
40
16
0
9
9
0
0
1
1
1
1
0
9
9
4
0
8
8
8
8
0
41
0
0
0
0
18
16
0
16
0
0
0
8
8
8
0
0
0
0
0
5
8
8
16
16
16
16
16
16
16
16
16
16
32
0
0
16
0
0
0
0
4
16
0
4
4
4
32
32
32
0
0
0
0
1
0
16
14
8
0
17
8
8
0
8
8
0
0
0
8
10
10
16
0
8
4
4
4
16
0
8
24
24
1
1
1
0
0
0
0
0
8
8
1
0
0
0
0
8
0
0
0
0
0
0
0
8
0
0
16
4
8
0
12
1
0
0
0
0
16
8
24
0
0
0
8
8
0
0
5
5
8
0
0
0
1
0
1
1
1
1
1
1
16
2
1
16
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
16
0
0
9
9
2
60
8
0
0
32
32
32
0
0
24
0
0
0
0
0
1
0
0
1
1
2
8
8
16
0
32
0
0
0
8
0
8
8
8
1
8
0
0
0
0
0
0
0
0
0
1
1
8
16
16
16
0
16
16
16
8
0
0
0
0
8
8
8
0
0
49
49
49
49
0
0
0
8
8
0
0
0
8
4
0
10
2
2
0
0
2
2
0
0
8
8
8
0
32
0
0
0
0
0
0
16
8
0
0
8
0
9
9
0
8
0
0
0
0
2
0
0
0
0
0
0
1
0
4
0
8
8
0
0
0
0
4
0
23
8
0
0
0
8
8
8
0
20
0
8
8
16
0
8
8
30
0
24
16
8
8
0
8
8
8
0
8
8
0
19
0
16
0
4
4
1
8
8
8
1
16
16
16
16
0
0
16
0
0
8
0
0
2
0
0
0
7
2
0
4
0
0
0
0
0
24
0
4
16
40
16
0
16
0
0
0
8
8
0
0
0
16
0
16
0
0
0
0
0
0
8
8
0
16
16
32
0
0
0
0
0
0
0
28
0
0
0
0
19
19
0
0
16
10
10
8
0
8
8
8
0
0
0
8
0
0
0
0
8
0
0
0
0
16
16
16
0
8
0
0
0
0
8
0
0
0
0
24
0
8
8
8
0
0
0
8
0
16
1
0
0
0
0
0
0
0
0
4
8
0
4
0
4
14
10
8
2
2
2
0
8
0
8
8
16
8
16
0
4
4
0
0
32
32
0
32
0
0
2
27
27
0
6
8
0
33
0
0
0
0
0
0
0
0
16
16
2
0
16
16
16
0
0
0
6
6
6
8
8
8
8
0
4
0
0
0
1
0
0
0
0
18
18
18
18
18
8
17
17
52
0
8
8
3
4
0
8
16
0
57
0
48
0
0
0
0
8
4
4
4
4
16
16
0
16
1
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
2
0
0
0
0
2
2
16
8
0
0
0
0
0
0
0
0
16
2
0
0
8
0
0
0
0
4
0
0
4
1
1
4
4
0
8
4
0
0
0
0
8
9
16
16
0
0
0
16
1
1
1
1
0
0
16
1
1
8
8
0
0
0
0
4
0
0
0
0
0
0
35
8
0
0
0
0
0
0
0
0
18
0
0
8
0
8
8
8
0
0
16
1
0
16
16
0
24
24
8
0
0
0
8
8
4
36
36
50
0
0
0
0
0
0
0
4
21
0
0
0
16
16
8
8
8
8
0
0
8
0
0
0
2
0
0
0
0
16
0
2
0
48
0
16
16
2
0
32
0
8
16
16
16
16
16
16
0
8
0
0
0
16
16
0
9
8
8
0
16
0
0
0
0
4
12
0
0
0
8
20
0
8
0
0
16
16
2
0
0
16
0
16
0
0
2
2
4
0
8
8
20
20
16
16
25
1
21
0
0
0
0
0
2
0
0
2
2
2
0
8
0
0
1
1
0
0
0
25
0
8
8
1
8
8
8
16
16
16
8
8
0
0
8
8
0
0
0
0
16
0
2
2
4
0
8
16
0
0
2
4
0
0
8
0
16
1
8
9
0
0
8
8
0
0
0
8
9
0
1
1
8
2
16
8
8
0
16
16
16
16
16
16
16
16
8
6
0
56
0
8
0
2
16
8
8
0
0
0
0
0
0
0
0
0
8
16
16
16
16
16
0
20
2
2
2
2
0
8
2
0
0
0
8
16
16
16
16
8
16
0
0
0
8
16
17
16
0
16
16
16
0
8
8
4
8
8
8
8
0
0
0
4
0
0
0
0
0
16
16
16
0
24
8
1
4
4
16
0
0
0
0
20
0
0
0
12
12
16
16
0
20
16
16
16
16
16
16
2
0
0
33
16
0
0
0
0
0
1
1
0
0
0
0
0
0
0
2
32
9
0
24
5
5
5
5
0
0
0
0
0
0
0
4
2
2
4
0
8
0
0
0
24
20
0
16
0
0
0
4
8
0
0
8
12
12
8
0
16
16
8
0
0
24
16
8
1
1
1
16
0
0
4
26
16
0
0
0
0
0
0
0
8
0
0
0
0
0
16
24
24
16
16
16
16
4
8
0
0
0
2
2
2
2
0
0
0
0
8
16
4
4
0
0
21
8
8
8
8
8
0
8
16
3
1
1
4
4
4
0
8
8
0
16
0
0
16
16
16
16
16
16
16
16
8
16
0
0
8
8
8
0
1
0
0
0
0
0
0
0
0
0
22
0
25
0
32
0
0
0
8
4
18
18
12
0
0
8
1
8
8
9
0
0
0
8
8
16
16
8
3
12
16
20
0
0
0
0
0
8
8
4
4
20
8
8
8
8
4
4
1
0
0
0
8
8
16
0
8
0
0
0
2
2
2
0
0
1
0
0
0
0
0
0
0
0
0
8
0
16
16
0
6
6
6
6
0
8
0
0
4
0
0
0
2
0
32
0
0
0
0
0
0
0
0
8
16
16
0
8
8
8
0
4
4
4
4
8
0
0
4
4
4
4
1
1
16
0
0
0
4
0
4
8
18
0
0
20
20
2
8
0
0
24
16
35
8
42
16
0
8
0
0
0
0
8
8
0
0
0
8
2
0
0
2
0
0
10
0
2
2
16
16
0
0
0
0
0
24
0
0
16
16
16
24
24
16
8
8
2
16
4
4
0
8
8
0
0
0
0
16
0
0
16
16
16
8
8
8
8
8
8
8
8
8
0
0
0
8
0
0
8
0
0
0
0
8
8
8
8
0
16
0
4
4
0
0
0
40
40
4
0
16
24
16
16
24
24
24
8
16
9
9
9
9
9
9
0
0
0
0
8
0
0
0
8
8
0
0
32
16
8
32
32
32
0
0
0
0
0
0
4
4
1
0
8
8
8
3
3
3
16
0
22
0
0
4
4
2
0
4
4
9
8
0
8
8
0
0
0
0
0
16
0
32
0
16
16
16
0
0
0
0
0
16
0
0
8
8
0
0
0
0
0
0
8
0
8
8
8
8
8
8
0
8
8
0
8
16
16
0
24
8
0
8
16
16
16
20
0
0
16
20
0
8
1
4
4
0
2
2
0
0
0
1
0
0
2
0
16
1
1
1
4
4
16
0
8
8
1
0
0
8
4
4
8
0
8
8
0
0
0
0
4
4
16
4
0
8
8
24
0
36
36
0
0
1
1
0
0
14
0
0
0
16
0
0
24
8
8
0
0
0
4
4
0
0
0
0
16
0
0
0
8
1
0
16
16
16
0
8
8
16
16
0
8
8
8
8
8
16
16
0
0
0
16
4
4
32
32
32
32
0
8
2
2
2
4
4
4
16
16
0
0
16
16
16
0
0
0
0
0
0
0
0
8
0
0
8
5
0
0
0
0
0
8
0
0
16
0
0
0
8
16
0
0
0
0
1
1
1
0
0
0
0
4
4
0
0
0
8
16
29
4
0
0
16
16
4
16
16
0
16
0
0
28
28
0
0
0
0
0
8
8
8
8
8
0
8
8
8
16
4
4
0
16
16
16
0
8
8
8
2
16
8
16
16
8
4
0
4
0
0
0
0
16
4
4
4
0
8
1
2
4
0
0
0
16
16
0
0
1
8
0
0
0
0
8
0
16
16
0
8
0
0
8
0
16
16
0
0
16
0
8
8
8
0
0
1
32
8
0
8
8
0
1
4
0
0
0
0
0
0
0
14
14
0
4
4
32
32
0
0
0
4
0
0
0
16
16
0
0
0
0
0
0
0
0
8
16
2
2
0
8
8
0
24
0
0
0
17
17
52
52
52
0
16
0
0
16
0
16
4
4
0
20
0
0
0
0
0
1
0
4
0
0
16
0
16
16
0
8
8
16
16
0
1
4
4
4
2
8
4
4
13
0
32
8
0
0
2
0
0
0
0
0
0
8
8
8
0
0
4
20
1
1
0
8
0
0
0
1
8
4
0
0
41
24
0
0
8
20
0
0
0
16
0
0
2
0
0
0
0
0
0
4
4
8
8
8
16
16
16
16
0
0
16
16
16
0
8
34
1
16
0
0
0
0
0
0
0
0
8
0
8
8
8
0
0
0
0
4
4
0
8
8
8
48
48
48
48
48
48
48
48
48
4
0
0
24
8
8
8
0
0
24
8
0
0
50
0
8
4
4
0
8
1
0
0
0
16
8
0
16
16
20
6
0
0
0
0
8
8
4
4
4
16
16
16
16
16
16
21
32
0
4
16
16
16
16
0
0
0
0
0
0
0
4
0
0
8
8
0
12
8
8
12
0
0
0
2
0
0
0
4
4
4
4
8
8
4
8
0
0
0
0
0
1
0
0
0
0
16
0
4
0
4
0
0
0
0
0
0
4
8
0
8
0
0
0
0
12
0
0
0
0
8
0
0
0
8
1
1
8
8
8
24
24
8
8
8
16
16
16
0
20
0
0
0
8
0
24
24
4
0
18
16
0
0
0
0
0
0
8
0
0
2
4
4
4
4
25
20
0
0
8
8
8
0
5
16
0
24
0
34
0
8
8
16
2
0
8
8
8
0
0
8
8
8
16
0
0
0
5
0
0
16
16
0
8
0
0
0
0
0
8
8
0
0
0
1
4
0
8
8
2
2
2
2
0
0
0
8
0
0
0
0
0
0
0
0
0
0
16
17
17
1
0
8
12
0
8
8
0
27
0
0
0
0
8
8
0
0
0
0
1
16
0
1
1
16
1
8
8
2
8
8
8
9
0
0
0
16
33
8
8
8
0
1
1
0
8
8
8
0
0
0
0
1
8
0
0
0
16
8
8
8
8
0
0
0
25
32
32
32
0
0
0
0
0
0
0
24
24
0
4
0
0
4
0
0
8
0
0
4
1
4
4
0
0
0
0
8
8
8
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
1
1
1
16
0
8
0
0
0
8
8
8
0
0
0
0
8
0
8
0
12
12
16
16
0
8
4
9
24
24
4
0
16
16
16
16
16
16
16
8
8
8
4
4
0
0
0
0
0
0
0
32
8
8
0
0
0
0
0
0
0
0
8
8
8
8
0
8
8
1
1
1
16
16
0
0
2
2
8
8
8
0
16
0
0
16
16
17
0
0
16
8
8
8
1
1
0
8
0
16
0
4
4
0
8
16
16
16
12
0
8
24
24
0
28
0
10
0
0
5
0
8
8
16
2
0
2
2
12
8
8
16
16
0
0
0
0
16
16
16
0
16
0
1
1
0
56
56
0
0
16
0
0
0
0
0
10
0
0
0
0
4
4
8
0
16
0
0
0
8
0
0
0
0
32
10
10
8
2
2
2
2
0
0
0
5
0
0
0
0
4
0
0
0
0
0
0
0
0
16
0
28
28
0
0
0
8
8
8
4
0
0
8
40
0
1
0
16
16
24
24
8
25
0
0
1
1
1
2
0
0
0
0
8
8
0
0
0
38
4
4
4
17
1
1
8
8
0
0
16
0
1
1
2
0
0
0
8
8
8
10
10
10
0
0
8
8
8
16
16
16
8
0
8
0
0
0
0
0
1
8
46
0
4
4
0
8
0
0
0
1
0
8
0
4
1
8
8
8
8
0
0
2
0
0
0
0
0
8
23
23
16
16
16
16
16
8
8
0
0
0
0
2
2
0
0
0
16
16
16
0
0
4
6
8
24
24
24
2
2
1
9
1
0
16
16
16
0
0
0
0
0
0
0
24
1
0
0
16
16
4
1
8
4
4
0
0
20
0
16
8
0
0
8
8
8
8
0
0
0
0
16
16
16
16
16
0
8
0
0
0
16
2
1
1
1
1
0
0
0
8
8
8
4
0
0
8
8
8
0
0
16
16
8
0
0
9
9
0
0
0
8
0
32
0
0
0
4
4
4
0
0
0
0
32
32
0
8
8
0
6
6
6
6
4
8
16
1
0
0
4
4
0
8
8
32
0
8
16
16
2
16
0
0
0
1
33
16
0
8
8
16
16
0
16
16
1
0
24
0
0
0
0
0
0
0
17
0
8
0
0
0
16
0
0
0
0
20
8
0
4
0
0
0
0
8
16
0
16
16
0
16
0
0
0
16
16
0
0
0
0
0
16
16
8
8
0
0
0
0
0
0
16
16
16
0
8
16
18
0
16
0
0
0
16
8
8
0
4
4
0
0
8
0
0
0
0
18
18
16
8
16
16
0
3
16
0
0
24
0
0
2
0
0
0
0
0
0
0
0
0
18
0
0
0
8
0
8
18
18
2
4
4
4
8
8
0
8
0
0
8
0
0
0
0
32
8
8
8
0
16
48
0
0
2
2
0
2
2
2
4
9
32
32
32
8
8
8
8
32
8
0
16
0
0
0
16
2
2
0
0
0
0
32
0
0
8
8
16
16
4
0
4
0
0
33
33
16
0
0
0
0
4
4
0
0
0
0
32
0
0
0
0
0
16
16
16
0
0
0
0
0
4
16
16
8
0
0
0
0
0
16
16
0
57
57
0
16
16
16
0
0
0
2
0
0
8
8
4
8
16
1
8
0
0
16
0
16
0
1
16
16
16
16
40
0
0
0
0
0
8
0
0
1
1
1
0
0
0
0
0
0
0
16
0
24
0
0
0
8
0
0
0
8
8
0
0
0
0
8
16
16
0
0
16
4
4
0
0
0
0
16
8
8
0
0
0
0
0
33
0
0
0
16
16
16
0
0
0
16
16
0
0
0
24
1
0
0
0
0
1
0
8
0
0
0
32
8
8
24
16
20
20
20
28
0
0
8
0
0
0
0
0
49
8
4
4
8
8
8
8
0
0
0
32
0
2
0
4
0
24
0
16
0
0
0
8
8
6
16
16
16
24
4
0
48
8
48
8
16
16
0
0
0
2
2
2
2
0
0
0
0
0
8
8
2
2
0
0
0
0
0
4
0
8
4
4
4
8
8
8
0
4
8
2
2
2
16
16
16
4
4
8
1
1
0
0
4
0
0
0
0
0
0
0
0
0
0
0
11
0
1
4
16
0
0
16
0
4
4
4
4
8
0
24
8
8
2
0
2
8
0
0
2
8
8
4
4
0
8
0
0
0
1
16
8
16
56
8
0
0
0
0
0
0
20
8
8
8
2
0
0
8
2
0
0
2
1
1
1
8
8
0
0
0
0
0
0
0
0
16
16
8
0
0
0
0
0
16
1
16
2
0
0
0
11
11
11
11
11
11
4
4
8
8
20
0
16
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
18
0
4
6
16
0
0
0
0
0
8
8
22
22
0
0
0
0
16
0
32
0
8
20
0
0
0
0
8
0
0
8
16
0
0
0
8
1
0
0
4
4
0
0
56
2
0
0
0
8
16
8
4
1
0
0
8
8
0
0
9
16
1
8
8
0
0
0
0
0
0
0
0
0
0
0
24
24
8
0
4
8
0
0
0
0
0
0
24
0
6
0
0
0
0
0
18
16
0
0
8
8
0
0
2
2
0
0
16
0
0
0
0
0
16
8
8
8
2
0
24
24
8
0
0
0
0
8
8
8
0
8
0
0
0
0
8
0
8
0
0
0
8
8
16
16
8
8
8
8
4
4
8
0
8
8
0
0
0
1
0
0
0
0
20
0
0
4
16
0
8
8
8
28
28
28
0
0
0
1
1
8
16
18
0
0
0
0
0
0
0
0
16
16
16
16
16
2
0
0
8
8
0
16
0
8
16
0
0
8
24
24
16
8
8
8
4
0
24
16
0
0
0
0
0
24
8
12
0
0
16
0
16
8
8
8
8
8
8
20
4
8
13
2
2
1
4
0
0
8
8
2
16
16
16
16
1
0
0
16
0
16
16
0
0
16
0
0
16
0
0
0
0
0
0
8
8
4
4
1
0
0
32
32
8
16
0
1
8
8
0
1
1
8
8
24
0
0
16
0
0
8
8
8
16
16
16
0
0
4
2
0
0
16
10
10
10
10
10
10
0
0
0
16
0
0
0
0
0
0
4
1
8
8
8
8
2
0
1
16
16
16
0
12
12
16
2
0
0
9
9
0
0
0
16
0
4
0
8
0
0
16
16
8
0
16
16
0
0
0
0
1
0
0
0
0
0
8
0
0
8
8
0
0
0
16
8
6
4
8
8
1
8
8
0
16
8
0
8
0
8
0
0
48
8
0
0
8
2
2
16
16
0
0
32
32
32
0
8
1
24
0
16
16
16
16
18
5
8
8
8
16
0
24
30
0
0
24
24
8
8
4
8
16
16
12
2
0
0
0
0
0
0
24
0
12
16
1
0
0
0
8
0
8
8
0
8
0
0
0
0
0
16
1
1
0
4
4
8
8
8
8
0
0
0
0
0
16
1
0
8
8
0
20
20
20
0
22
22
0
0
4
0
8
4
0
4
4
0
0
0
8
16
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
16
8
24
24
16
0
8
8
8
8
16
0
0
0
0
3
3
8
8
8
8
1
16
0
0
0
0
32
16
0
8
0
16
0
0
0
0
0
0
0
0
0
16
0
0
0
4
4
4
0
16
0
0
0
0
8
8
8
8
4
8
2
8
20
4
4
32
4
8
8
0
16
4
4
4
16
16
16
20
8
0
0
0
0
0
0
28
0
16
4
4
4
1
1
0
0
0
16
16
0
8
8
20
4
16
16
0
8
0
8
0
8
0
8
16
0
0
0
0
0
2
0
8
8
8
0
6
6
0
0
0
4
8
8
8
8
16
8
8
8
0
8
1
1
1
8
8
8
0
1
1
1
16
0
0
0
4
4
4
0
8
0
0
0
0
4
12
8
0
0
0
32
0
0
0
8
4
0
0
8
0
0
0
0
10
12
16
0
0
0
20
0
0
0
0
0
4
0
0
0
1
1
0
16
16
0
0
32
32
16
0
0
0
0
16
0
0
0
16
4
0
26
16
16
4
4
16
16
16
16
0
0
0
16
16
16
16
16
16
16
0
0
2
0
0
8
12
12
16
16
1
1
0
17
0
0
0
8
8
0
16
8
8
0
0
22
36
0
24
24
16
16
0
0
0
0
0
8
4
0
0
0
0
0
5
5
5
24
24
24
0
0
0
0
0
16
16
16
16
16
16
16
0
4
8
8
2
2
0
0
18
18
16
16
16
0
0
16
0
8
16
0
0
8
2
0
8
0
0
18
18
16
8
0
0
16
32
0
0
0
0
0
0
24
8
24
4
4
4
9
0
0
0
8
0
4
0
0
8
8
0
2
0
0
0
0
0
0
0
0
8
8
8
1
1
0
0
0
0
0
1
1
1
1
2
0
40
40
8
20
0
0
0
0
16
16
0
1
2
2
2
0
0
8
0
0
11
0
0
0
0
0
1
16
0
0
8
0
0
32
8
8
0
16
16
2
2
2
0
0
2
0
0
17
1
1
18
8
0
0
0
4
8
8
8
0
16
16
16
16
16
8
8
1
1
0
12
0
0
0
16
0
0
0
0
0
8
2
9
0
0
0
2
4
0
0
0
0
0
0
2
2
8
8
8
16
0
16
0
16
0
9
8
8
0
0
0
16
16
0
8
8
8
8
8
0
1
1
1
12
12
12
12
0
0
0
1
0
0
18
18
8
8
8
0
0
8
8
0
8
8
8
8
0
16
8
0
18
0
8
0
8
0
0
0
0
0
16
4
0
0
0
0
0
24
24
24
24
24
16
1
24
0
8
16
16
0
0
8
0
24
24
24
24
24
20
0
0
0
8
0
0
16
16
0
4
4
4
4
0
0
0
4
16
8
0
18
1
0
8
0
0
0
0
2
16
0
1
8
8
0
0
0
0
0
16
16
0
0
0
0
0
2
2
0
0
2
0
0
0
0
0
0
0
0
0
8
8
4
4
8
8
8
0
16
0
4
8
0
0
0
24
24
0
0
0
0
0
12
16
16
8
8
0
0
0
0
0
8
1
1
4
0
0
8
2
2
57
57
57
57
0
20
0
0
16
16
0
0
24
24
0
24
8
8
0
16
16
16
16
1
4
0
0
8
0
0
0
0
24
24
0
16
16
16
1
1
16
16
16
0
0
8
16
8
8
8
8
0
0
0
16
0
8
0
16
0
0
0
16
8
16
4
0
0
0
0
0
0
8
8
8
16
0
0
8
8
0
4
4
4
0
0
0
0
24
8
0
0
16
0
4
4
4
8
0
0
8
0
0
0
0
0
16
17
0
0
0
0
0
0
8
8
8
8
8
0
8
0
10
0
0
2
8
0
8
8
0
0
0
2
2
2
0
4
4
4
8
8
2
32
32
0
0
8
8
0
0
0
24
24
0
0
0
0
0
0
2
0
16
4
16
16
0
0
0
0
4
4
0
0
0
0
0
0
4
0
4
0
0
0
0
0
16
16
6
8
0
4
0
0
0
0
16
24
24
0
25
0
0
16
16
16
8
8
0
0
8
8
2
0
0
16
0
0
1
0
0
0
0
0
1
1
1
1
1
4
4
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
8
16
1
1
4
16
8
8
0
0
4
8
16
4
0
0
0
0
0
8
48
0
8
8
0
20
4
4
4
4
4
7
7
8
8
2
8
24
0
1
16
18
18
18
18
0
8
8
4
20
4
4
0
0
1
0
0
0
0
0
0
0
1
0
0
10
10
4
0
8
16
16
8
0
0
0
1
1
1
1
8
8
0
0
1
0
16
0
0
4
0
0
0
0
16
0
0
0
40
0
0
0
0
1
14
14
0
24
1
0
0
0
16
12
16
16
16
16
16
0
16
16
0
3
8
16
16
10
4
0
0
0
0
0
0
0
0
0
8
8
1
16
1
16
0
8
1
0
0
0
0
8
8
8
18
2
2
0
0
28
8
4
4
4
0
0
0
0
16
16
0
0
0
17
0
0
0
24
24
4
0
0
0
2
1
1
1
1
10
10
8
8
8
0
16
0
0
8
0
0
8
20
4
4
8
0
0
8
16
16
16
0
0
32
8
8
16
0
0
0
16
16
8
4
4
16
32
2
0
16
0
0
0
32
32
1
4
16
8
16
0
32
0
0
1
1
1
0
0
0
0
0
4
4
24
8
8
1
0
0
0
8
8
8
0
0
0
8
0
0
8
1
4
4
0
0
0
0
0
0
3
16
16
0
0
8
0
2
0
0
0
2
2
2
1
1
0
0
8
8
8
0
0
0
0
4
4
0
21
0
0
16
8
1
8
32
17
17
0
0
0
0
0
0
1
1
1
8
16
0
8
8
8
0
6
0
0
0
0
8
8
8
8
0
0
0
8
8
0
16
16
8
8
8
8
1
0
0
0
16
0
0
4
2
0
8
1
0
0
0
24
0
0
16
0
0
0
0
0
4
8
8
8
24
24
1
1
1
1
0
1
1
0
0
0
0
0
0
0
0
8
8
8
0
4
0
0
0
2
2
26
0
8
16
0
0
0
16
1
8
4
16
16
16
16
8
0
8
8
0
0
0
16
8
0
0
0
0
2
8
0
0
8
0
0
0
8
8
5
0
0
0
0
4
4
4
4
0
8
0
1
1
1
0
8
8
8
0
6
0
0
0
2
2
18
18
0
0
2
2
2
2
16
12
8
8
8
8
8
8
0
0
0
6
6
16
0
2
8
8
4
0
0
24
0
0
0
0
0
16
16
0
0
8
0
0
0
0
8
8
8
8
8
16
0
16
16
16
0
0
0
0
0
0
0
8
8
0
24
24
20
16
0
0
0
8
8
16
0
0
0
8
2
0
8
8
0
8
0
16
16
8
0
0
0
1
16
16
0
0
16
16
0
16
0
8
8
8
8
8
0
1
8
8
8
8
0
16
16
8
16
8
8
8
0
0
0
1
2
20
16
0
0
0
0
0
0
0
0
1
0
0
0
8
0
16
16
16
8
8
0
0
1
0
16
16
0
8
8
8
0
8
8
0
0
0
0
32
16
16
0
0
0
0
0
0
24
24
0
8
0
0
0
0
0
0
16
16
4
16
4
0
8
8
0
0
0
0
8
16
16
24
0
8
20
16
0
1
0
0
0
2
0
8
28
0
16
16
4
6
16
16
16
1
16
16
0
0
0
0
0
1
16
0
6
0
2
2
0
0
0
8
8
24
0
0
8
0
0
0
0
22
8
16
8
0
0
0
0
0
8
1
16
16
8
8
16
0
8
0
0
1
0
0
0
0
0
0
0
8
4
0
17
17
17
17
4
4
0
0
0
24
16
0
0
0
16
16
0
8
1
0
0
0
8
0
0
0
8
8
8
0
0
0
0
16
0
0
0
16
0
16
8
0
16
16
0
0
0
0
8
0
0
8
8
0
16
16
8
18
0
0
16
0
0
8
16
0
0
0
0
0
34
16
1
0
8
16
0
0
0
16
16
16
0
33
1
5
8
0
0
16
16
0
0
8
8
0
8
0
0
0
8
1
16
16
0
8
0
0
0
0
16
0
0
0
0
0
2
2
2
0
8
0
16
0
0
0
0
24
16
16
8
4
40
0
0
8
8
8
8
8
0
1
0
0
2
8
0
0
0
2
2
2
0
8
8
4
24
24
24
24
0
24
0
0
0
8
0
0
0
0
0
0
32
0
1
0
0
0
0
16
25
25
25
25
12
0
0
0
2
2
8
0
0
17
0
0
8
8
16
16
0
8
24
0
1
1
8
0
8
8
8
0
0
20
0
0
0
0
0
0
16
16
16
8
0
0
0
16
28
28
36
36
4
0
0
0
8
8
8
1
4
0
0
0
0
0
17
0
0
16
8
0
16
8
9
9
0
16
0
0
4
8
8
0
0
8
8
4
0
8
0
8
8
3
0
0
16
16
16
0
0
0
0
0
39
3
3
8
8
8
8
0
0
0
0
0
0
2
0
0
0
0
8
8
8
8
24
28
28
0
8
0
16
28
24
1
0
0
0
0
0
1
0
0
0
0
1
8
0
0
0
6
24
24
4
20
8
9
1
1
1
1
0
0
0
0
0
12
12
0
8
8
8
8
0
0
16
0
0
0
0
8
8
8
8
16
16
0
0
0
0
0
8
8
32
0
0
8
2
0
0
8
0
0
0
0
61
61
8
0
0
0
0
16
0
0
0
0
0
0
8
0
0
12
0
0
0
8
8
8
0
8
4
4
4
0
0
48
0
8
0
0
0
0
0
16
0
4
4
0
16
0
48
48
0
16
0
0
8
0
0
0
1
16
20
8
4
4
1
0
8
0
16
8
8
8
0
0
20
20
4
4
4
4
8
8
8
0
0
0
0
0
0
0
0
8
8
4
0
8
0
0
0
0
0
0
0
0
0
24
24
24
6
6
6
16
24
33
33
8
0
16
2
0
1
1
0
0
16
0
8
8
8
8
8
8
8
8
0
8
8
0
0
0
0
0
8
8
8
4
4
0
16
0
0
0
0
8
8
20
20
20
20
0
0
0
8
0
0
0
4
0
0
9
1
32
4
0
0
16
16
16
16
16
8
8
8
0
1
0
0
8
8
0
16
0
0
0
0
16
5
1
16
4
0
0
8
8
0
0
8
8
0
0
0
0
0
20
8
2
8
8
0
0
0
17
0
0
0
1
1
1
0
0
8
0
0
16
0
4
16
0
4
0
8
0
0
4
16
16
16
4
4
0
8
0
0
0
0
0
0
1
16
16
16
16
16
0
1
16
16
0
8
0
8
16
16
6
0
20
20
0
16
16
0
0
6
6
8
8
1
0
8
8
0
0
4
4
4
0
16
16
0
8
4
4
4
0
0
0
0
0
0
0
0
4
8
8
8
2
16
16
1
16
25
0
8
8
16
0
0
1
1
1
1
0
0
0
0
0
0
28
1
1
16
8
8
8
0
16
16
16
8
16
0
0
16
8
8
0
0
0
1
8
0
0
2
0
0
0
0
8
8
0
0
0
16
16
16
16
16
16
0
16
16
16
16
16
0
0
0
0
0
8
8
8
8
0
0
33
0
16
8
4
32
32
0
0
0
0
41
41
8
8
34
16
16
0
0
0
0
0
0
6
8
8
8
4
1
8
0
0
8
8
8
2
16
16
16
0
4
0
0
0
16
16
16
36
36
0
0
0
0
0
1
1
8
8
16
1
24
0
1
1
1
1
0
0
0
0
16
16
16
16
0
0
0
8
8
0
16
0
1
1
1
4
0
0
0
2
2
2
2
0
0
0
8
0
12
8
8
0
0
0
2
1
0
33
24
16
16
16
0
0
28
0
0
0
8
0
0
8
8
8
0
4
0
0
0
0
0
8
0
0
16
0
16
24
0
0
44
0
0
8
8
8
0
8
0
0
17
8
8
0
0
4
4
0
0
8
6
0
0
0
0
16
16
16
16
16
4
4
4
4
8
22
22
8
8
8
8
8
0
2
0
8
0
0
19
19
1
4
28
2
1
1
0
24
0
16
0
0
8
8
8
0
0
24
0
2
0
0
0
8
8
0
0
0
0
8
8
8
8
1
16
1
0
0
0
0
0
0
0
16
0
8
12
12
16
0
8
8
0
0
16
0
4
4
8
0
40
0
0
0
8
9
9
8
8
0
0
0
8
48
48
16
16
0
3
16
0
24
4
8
8
0
8
0
8
8
8
8
0
8
8
8
8
8
8
0
49
32
32
0
0
0
0
0
0
32
0
0
0
0
8
8
8
0
0
8
8
16
16
16
0
8
0
0
0
0
0
8
8
0
0
1
3
0
8
8
8
4
8
4
4
16
16
8
0
0
0
0
0
8
0
0
0
8
4
4
8
0
0
0
4
0
0
0
0
0
1
0
2
2
0
0
0
8
8
0
34
0
16
0
0
4
0
0
0
0
8
0
0
0
8
8
10
10
10
10
0
5
4
0
0
0
0
0
16
16
0
0
4
4
4
4
0
0
8
8
8
8
8
8
0
0
16
0
0
0
8
0
8
20
0
0
0
0
0
0
0
2
1
0
0
20
16
16
16
16
16
0
0
0
2
0
0
0
0
0
0
0
0
0
4
4
0
8
0
0
0
0
17
0
0
0
8
0
16
0
0
2
0
0
0
8
8
0
0
0
2
0
16
8
24
16
0
16
8
8
0
8
16
8
0
0
4
13
0
0
8
18
0
0
32
16
2
2
0
16
16
0
0
12
16
16
0
4
0
8
8
8
8
8
0
0
0
0
0
0
8
8
0
9
9
0
4
4
0
0
0
0
8
3
8
9
9
0
0
0
0
0
4
0
0
8
16
0
2
0
16
16
16
16
0
24
0
4
0
0
16
0
16
0
2
0
0
16
16
8
8
8
4
4
8
0
8
8
8
16
2
0
0
16
0
24
0
8
1
40
0
21
0
8
10
0
0
8
0
0
2
0
0
0
16
8
8
8
0
0
0
8
8
2
8
0
0
0
8
0
16
16
4
4
16
0
8
8
8
0
0
16
32
32
0
8
8
8
8
8
8
8
0
0
0
0
0
14
0
8
8
0
8
8
16
0
4
16
16
16
16
0
0
0
32
32
24
0
0
0
16
0
8
8
8
0
0
0
1
41
16
8
0
0
2
2
0
0
2
0
8
0
0
8
0
1
0
16
8
0
16
8
0
16
4
0
0
0
0
0
0
9
9
8
0
0
0
8
8
8
8
21
8
0
4
0
8
4
0
8
0
4
0
0
0
0
0
32
0
0
0
0
0
16
16
16
16
8
8
8
4
8
0
1
1
1
0
8
8
16
0
4
8
0
0
3
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
8
16
8
0
8
0
8
8
8
9
17
0
1
1
1
26
16
16
0
0
0
4
4
8
8
8
8
8
0
0
4
4
1
8
16
0
8
0
16
0
16
16
0
0
0
2
2
8
0
1
0
0
0
44
8
0
0
8
8
8
8
8
8
8
4
8
0
0
8
0
0
8
0
0
8
0
8
8
8
8
0
0
0
0
0
0
32
0
0
0
0
0
0
0
8
8
8
8
8
4
4
0
0
0
0
25
25
25
25
8
0
0
0
16
0
8
0
0
0
40
16
16
8
17
8
0
20
8
0
0
0
9
9
0
0
5
5
4
2
2
0
0
8
8
16
0
0
16
16
0
0
0
0
0
0
16
0
16
0
0
0
16
8
2
0
24
24
0
0
0
0
0
0
0
0
2
2
2
1
0
16
8
1
8
0
16
16
16
0
0
16
0
8
0
8
0
0
0
0
8
0
0
16
0
0
8
0
8
8
8
0
0
1
1
0
0
4
16
0
0
16
16
0
0
1
1
0
2
16
16
0
4
8
8
0
0
8
16
16
4
4
16
0
0
0
0
0
16
0
0
0
16
0
48
17
18
16
40
0
0
0
0
0
0
0
0
8
8
0
16
16
2
4
4
4
4
4
8
16
16
0
16
8
32
0
0
8
16
0
8
0
22
0
0
0
0
0
0
8
4
8
8
8
8
16
8
8
4
4
4
0
0
0
0
18
0
0
16
16
16
16
16
0
0
16
8
8
16
16
16
16
2
2
0
0
4
0
0
0
0
8
0
0
0
32
32
0
0
16
0
0
8
0
0
0
0
8
8
0
8
0
2
4
4
8
8
0
8
0
8
0
4
0
1
0
0
0
16
16
32
16
16
16
16
16
4
16
8
32
8
0
1
1
0
0
16
2
8
8
0
0
8
8
16
0
0
0
0
0
0
8
8
8
16
16
0
0
16
16
16
1
4
0
0
0
16
16
16
16
16
8
4
16
18
18
2
2
2
2
1
0
0
0
0
0
0
0
0
16
8
0
16
16
8
0
0
0
0
0
41
41
0
0
0
4
0
8
8
0
8
0
0
0
0
16
16
2
0
0
0
0
0
0
0
0
0
0
0
8
0
8
0
0
0
8
8
8
0
0
0
0
24
24
2
2
0
0
8
0
0
0
0
0
0
17
0
4
4
8
0
0
8
0
16
16
16
6
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
8
0
16
0
16
0
8
0
0
0
0
0
16
4
0
0
0
16
20
8
4
0
0
16
16
0
0
8
0
0
8
8
8
0
0
0
16
18
8
0
0
0
0
8
26
8
8
0
0
12
0
0
16
0
1
0
0
4
16
16
16
16
16
16
16
16
0
8
0
2
0
0
0
0
0
0
16
0
24
0
16
0
0
0
4
4
16
0
8
16
16
0
16
0
0
0
6
0
0
0
0
16
1
33
33
16
16
0
0
0
16
16
16
0
8
8
0
16
24
24
24
24
22
22
0
8
0
0
24
0
0
0
0
16
16
0
8
0
16
8
0
4
0
2
2
16
0
0
0
8
8
32
0
0
32
32
8
8
8
12
0
2
8
8
8
8
2
16
16
40
8
0
0
1
0
16
24
24
0
0
8
0
16
18
18
8
6
8
0
16
0
0
0
8
3
3
0
0
0
20
0
0
0
1
10
16
16
0
0
0
2
4
1
1
1
16
1
1
1
0
0
24
8
8
24
0
8
1
1
0
0
0
0
8
8
8
0
0
0
0
8
0
0
2
0
0
2
0
8
8
8
0
8
4
2
2
16
16
0
16
0
0
0
8
0
0
0
0
0
0
0
8
24
24
0
1
8
8
0
8
16
1
16
16
0
8
0
0
4
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
4
0
1
1
2
8
0
0
0
0
2
2
0
28
0
8
48
48
48
48
0
0
24
16
16
16
16
0
0
8
0
0
8
0
2
18
22
63
4
2
2
2
0
0
16
0
8
8
8
1
0
0
1
0
0
0
0
8
8
4
4
8
8
22
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
18
0
0
4
4
56
0
1
0
16
24
24
24
5
0
0
0
10
0
0
0
0
0
0
8
0
8
0
0
0
0
0
0
0
0
8
12
0
0
16
0
0
0
16
0
0
1
0
0
0
0
4
0
12
0
8
8
16
1
1
0
16
4
2
2
8
41
41
0
0
0
0
0
16
16
0
0
0
0
0
8
8
0
0
8
16
16
2
2
2
4
0
8
8
0
0
0
0
8
8
2
0
1
42
16
0
0
0
0
0
8
8
17
16
16
36
8
24
24
0
0
0
16
8
20
0
0
1
0
4
0
0
0
8
8
0
2
33
4
0
0
0
8
2
0
0
0
0
0
1
1
1
16
1
1
1
1
0
0
0
0
8
8
0
8
8
8
8
8
8
0
0
0
4
4
0
2
8
0
8
4
8
8
0
8
25
0
0
2
16
16
16
16
16
16
16
8
16
0
1
1
8
8
0
0
8
0
0
0
4
4
4
0
8
8
1
0
0
0
8
2
8
0
0
16
16
0
0
29
8
4
4
1
1
52
20
0
0
16
18
18
0
0
0
0
0
0
2
8
8
8
16
16
1
1
0
20
0
25
25
0
8
8
8
8
1
1
0
0
8
18
16
16
8
8
8
0
0
0
0
0
0
0
4
0
0
16
16
0
0
10
0
50
50
50
50
0
0
16
16
16
0
0
8
0
0
0
8
0
0
0
0
1
1
0
0
0
0
0
0
0
16
0
8
0
0
0
2
0
0
0
0
8
4
4
0
2
8
0
0
0
0
0
4
16
0
20
8
0
24
20
0
0
0
8
8
8
8
8
1
0
0
0
0
0
0
8
32
0
0
4
8
0
32
32
0
0
0
0
24
0
2
1
1
1
8
0
16
8
8
8
0
0
18
0
0
0
1
1
4
4
2
8
0
2
0
0
8
1
1
2
0
16
16
4
16
16
8
15
15
24
16
0
2
0
0
4
16
8
8
16
2
0
0
8
16
16
16
16
0
2
8
8
0
16
16
16
8
0
0
0
0
0
1
24
24
0
8
24
0
0
4
8
0
0
0
36
36
8
16
0
8
16
16
0
16
2
24
8
8
8
8
0
8
8
8
8
0
1
0
0
0
2
0
0
0
0
4
16
8
8
8
0
0
16
1
0
0
1
8
0
1
1
0
7
25
0
0
0
0
16
4
1
1
9
17
17
17
16
0
0
0
3
0
16
0
0
0
0
0
0
16
0
32
32
8
8
8
0
21
8
8
0
16
8
8
16
4
8
8
0
8
0
0
0
0
0
0
0
16
0
36
0
16
16
2
0
16
24
8
8
8
0
0
8
0
0
0
16
4
8
8
0
0
0
0
0
2
8
12
0
4
4
16
16
16
32
0
16
16
16
8
32
0
0
16
0
18
24
8
8
4
0
0
8
0
0
8
17
0
8
16
16
16
0
0
16
8
0
8
0
0
0
0
0
16
2
2
2
2
2
2
16
0
0
0
0
0
0
16
8
8
0
0
0
8
0
0
4
0
0
0
0
8
26
17
0
16
16
8
8
0
8
16
16
0
0
0
0
0
8
8
8
1
8
8
24
8
24
0
0
0
8
17
16
0
16
16
0
16
0
0
0
8
0
20
0
8
0
0
0
0
0
0
8
0
17
4
0
0
0
0
0
4
0
8
0
8
2
32
0
16
16
2
8
16
24
0
0
0
0
0
0
0
0
0
8
8
8
16
0
8
16
0
14
2
2
8
8
8
0
0
8
0
0
0
8
8
0
16
4
8
0
0
0
2
2
32
0
0
0
0
0
8
8
8
8
8
8
0
0
0
0
0
0
0
0
0
8
16
8
8
8
8
0
0
0
0
8
16
0
6
6
0
16
8
8
8
13
0
0
0
2
16
8
16
0
0
0
8
8
8
0
0
16
16
16
0
16
0
13
13
13
0
16
8
8
8
9
16
4
4
8
0
0
0
0
2
0
1
8
0
4
1
16
32
0
0
0
0
0
8
0
0
0
0
8
8
24
32
0
0
0
0
16
16
0
0
0
8
8
0
16
16
0
0
0
8
0
0
0
0
0
0
48
0
0
0
0
0
0
8
8
1
0
29
24
0
0
0
0
1
1
0
28
0
0
0
4
0
4
4
12
8
24
0
1
0
5
5
16
24
24
24
24
24
24
16
0
4
12
8
0
8
0
0
0
0
0
20
0
0
0
0
8
0
8
8
8
17
0
0
8
8
0
0
0
0
0
24
0
20
1
1
8
0
0
20
20
0
0
0
0
0
0
0
0
0
0
8
0
0
4
2
1
0
0
0
0
0
0
0
0
0
0
0
0
16
8
0
12
8
18
8
0
0
0
0
0
0
16
16
16
16
2
0
0
0
0
0
4
4
0
0
0
0
0
3
0
0
16
0
0
0
16
8
18
0
0
0
0
0
8
8
8
0
0
33
33
0
0
1
0
16
16
16
16
0
0
0
1
1
8
0
16
16
16
20
8
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
4
2
2
2
8
8
0
0
0
8
8
8
0
40
0
0
4
0
8
16
0
0
0
40
0
0
0
0
0
0
1
1
1
16
24
8
8
0
8
0
0
0
10
0
16
16
0
4
2
0
0
16
0
8
16
4
4
4
4
16
16
16
16
16
16
8
16
16
4
4
4
2
0
0
0
4
4
4
4
0
8
8
8
8
8
8
8
8
8
4
2
0
3
0
0
0
0
0
0
0
0
24
0
0
0
24
0
8
0
2
8
8
8
4
4
16
16
16
16
0
0
8
1
4
8
1
1
0
0
0
4
8
0
1
0
8
0
0
0
0
20
0
16
16
2
2
8
24
8
32
32
0
0
0
1
0
4
26
0
4
4
0
8
8
0
0
12
12
8
32
4
4
4
0
0
0
0
0
8
8
8
48
48
16
16
16
0
0
16
0
8
8
8
8
8
8
20
0
2
1
8
8
16
16
0
17
16
0
0
0
16
0
0
8
8
0
0
1
16
16
16
16
8
0
0
0
0
4
8
0
0
0
0
2
2
0
0
0
16
0
8
8
18
6
0
8
0
8
0
8
2
2
2
2
0
8
4
4
0
8
4
4
0
0
0
0
0
0
8
8
8
24
24
45
45
0
8
0
0
8
8
8
12
0
0
0
0
0
0
0
60
20
20
20
20
0
0
8
8
8
8
8
0
0
0
12
0
0
8
0
8
8
8
0
4
8
0
0
2
0
8
4
0
17
16
18
18
0
0
0
0
16
16
8
8
8
8
6
40
16
8
8
32
32
16
0
0
16
24
24
0
0
0
1
16
16
0
0
32
12
0
0
0
0
8
0
0
0
0
8
0
8
8
0
8
0
0
0
6
0
16
0
16
8
0
0
0
8
16
0
0
16
0
0
0
16
16
0
0
0
0
16
0
0
16
0
8
8
4
0
16
2
6
4
2
2
2
0
0
8
8
0
0
8
0
0
2
2
24
1
0
9
0
2
2
2
2
4
0
0
8
0
0
22
2
16
0
8
0
0
0
0
8
4
0
0
16
16
0
0
0
0
0
8
8
8
8
40
11
2
4
16
0
16
0
24
32
8
16
0
16
16
8
8
1
1
4
4
0
0
0
0
0
0
0
8
0
0
0
0
8
8
0
0
0
0
4
8
0
0
24
24
16
0
0
0
0
0
0
8
10
8
0
0
2
0
16
16
8
16
0
8
8
0
0
0
8
8
0
8
0
0
18
18
0
28
24
8
1
1
0
24
0
8
8
8
0
3
8
8
28
0
0
0
0
0
0
16
16
9
4
4
6
0
16
16
24
6
8
8
0
8
8
8
0
0
16
18
1
41
0
2
2
2
8
0
8
8
0
8
28
0
0
0
0
0
16
16
32
32
32
0
0
8
8
0
16
16
0
0
0
16
16
1
1
2
8
8
0
0
0
0
0
0
0
0
8
8
0
0
16
8
8
0
0
16
16
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
4
4
2
2
2
2
0
8
8
0
16
16
0
0
0
0
4
0
0
0
0
8
8
6
0
16
16
16
16
16
16
16
16
8
8
8
0
0
12
17
16
4
0
0
0
16
0
8
8
8
8
17
0
16
0
0
0
8
37
0
0
1
0
0
8
8
1
1
1
16
8
0
0
0
6
6
0
0
0
2
2
0
8
8
8
8
0
16
8
0
0
20
1
8
8
8
0
16
16
0
0
0
1
0
16
4
4
4
0
32
16
0
2
2
4
16
1
1
16
16
16
16
16
4
16
16
0
8
24
0
0
32
2
4
4
8
8
0
16
16
0
0
16
0
0
0
0
8
0
0
8
8
8
8
0
0
0
0
1
4
4
4
0
16
16
0
16
8
8
2
2
0
0
16
0
1
24
24
24
0
0
8
16
0
0
0
0
0
0
8
16
0
0
16
16
4
4
0
0
0
16
0
8
0
0
2
0
1
17
2
16
4
0
6
6
2
0
1
8
0
0
0
16
16
16
16
16
0
0
0
4
0
8
16
0
0
16
16
16
16
16
0
8
0
0
0
8
4
4
0
0
0
0
16
0
0
0
4
4
8
8
16
16
16
0
0
0
8
0
0
8
0
60
0
0
16
16
16
4
0
8
8
18
0
8
4
0
8
0
8
8
0
0
0
8
4
0
0
0
0
8
16
0
0
0
8
3
0
0
0
0
0
16
16
16
16
16
16
0
8
8
16
0
1
0
0
1
1
33
0
0
0
8
8
0
24
16
16
0
8
0
1
0
16
2
0
8
1
0
0
0
16
8
0
16
16
16
8
8
8
0
0
18
0
0
0
17
0
40
18
16
16
16
16
16
16
0
0
8
8
16
0
0
0
0
0
0
0
16
16
0
16
0
16
16
16
16
16
9
9
24
24
8
8
0
0
16
8
0
0
0
0
24
8
8
0
0
0
48
0
0
0
1
1
0
0
0
0
1
0
0
0
22
0
0
0
0
21
0
18
0
8
0
4
16
2
2
2
2
12
12
0
0
24
28
24
4
0
0
1
0
4
0
4
1
0
8
8
2
4
0
0
0
2
2
8
0
0
24
8
8
8
8
8
8
8
8
8
8
8
8
32
8
8
8
0
16
0
8
0
16
16
0
0
4
8
0
0
0
24
0
0
17
17
17
17
8
24
4
0
16
8
8
17
17
4
0
16
0
16
4
4
8
16
8
16
8
16
0
16
16
16
16
16
12
8
1
0
0
0
8
40
40
40
40
4
16
0
8
0
4
0
44
0
0
0
16
16
0
0
0
2
0
8
8
0
8
0
0
16
8
0
0
0
0
0
8
0
0
32
32
32
16
8
63
52
52
8
16
0
0
0
0
0
0
0
0
8
0
0
17
0
1
1
8
16
24
0
0
0
0
1
1
1
0
0
1
1
16
16
16
0
0
0
12
12
12
4
0
16
0
8
4
4
1
0
16
16
16
17
0
16
4
2
4
1
0
8
8
0
0
0
16
0
4
4
8
8
8
8
1
1
2
0
0
16
0
0
0
8
24
24
24
24
2
8
1
24
0
18
16
16
16
16
16
16
20
0
2
2
2
1
8
0
8
0
16
8
0
10
0
8
0
4
0
0
0
0
0
0
0
0
0
0
0
16
0
8
0
0
0
9
0
16
0
0
1
8
4
0
0
0
4
8
0
8
4
9
0
0
0
0
0
0
0
5
0
22
2
0
0
0
0
0
8
16
0
0
0
0
0
16
0
0
8
0
4
4
0
8
0
0
0
0
0
0
8
8
0
0
0
0
17
0
1
0
1
0
0
2
0
16
4
2
0
0
4
0
1
1
8
19
19
0
0
8
8
8
8
8
0
0
0
0
8
8
0
0
0
8
8
8
8
0
0
24
8
8
0
0
0
0
0
8
0
8
28
4
8
8
16
16
8
0
0
0
1
0
0
0
0
0
0
0
0
0
0
28
0
0
0
16
16
0
0
32
8
8
8
0
0
0
0
0
16
0
0
8
0
0
0
4
4
8
8
0
4
1
8
16
16
16
8
32
16
8
8
8
8
8
8
8
8
8
8
0
8
8
0
0
0
0
4
0
0
2
0
1
16
0
24
32
32
8
8
0
0
0
0
4
4
4
8
8
16
41
0
16
16
0
0
4
4
8
0
0
0
0
16
8
8
16
8
28
28
28
2
8
12
12
12
0
0
0
0
9
1
8
8
1
16
10
0
0
0
16
16
16
0
0
16
0
6
4
0
0
1
0
0
4
4
16
0
0
12
12
12
8
8
8
0
8
0
5
1
8
0
0
0
0
0
0
0
4
4
48
48
8
0
0
0
0
0
0
0
0
0
8
4
16
16
24
24
0
0
8
8
0
0
8
32
0
0
16
16
16
0
0
0
0
16
1
0
20
20
20
18
18
2
8
8
40
8
1
8
8
4
8
16
16
16
32
1
0
8
8
8
0
8
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
8
0
0
8
0
8
0
0
0
0
0
0
0
16
16
0
16
16
0
0
18
16
0
0
16
0
16
0
0
8
0
0
8
8
0
8
0
0
0
0
0
8
52
8
4
2
2
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
48
16
4
4
10
18
8
35
0
8
0
0
0
4
0
0
0
0
16
0
0
4
8
8
0
8
8
16
16
0
0
0
8
8
8
0
0
0
8
8
3
1
0
0
8
0
8
8
0
0
0
0
0
8
8
4
4
8
8
2
2
10
0
0
9
1
4
4
0
0
0
0
0
8
8
0
0
32
0
8
0
0
0
0
0
4
4
0
0
0
0
0
0
4
0
0
0
0
0
0
16
16
0
0
1
4
4
0
0
8
0
0
8
8
0
0
0
8
8
8
0
2
4
4
4
8
0
0
8
0
0
0
4
0
0
16
16
1
16
0
0
1
8
0
0
0
0
0
0
49
16
0
0
0
2
0
0
0
0
0
8
16
0
0
4
24
8
8
0
0
2
0
9
9
9
0
0
0
0
0
16
1
0
24
0
0
0
0
0
0
8
0
0
0
8
8
30
30
0
0
0
32
0
0
0
24
8
0
4
16
16
8
0
0
0
0
0
1
2
0
16
0
0
17
17
16
16
16
0
8
0
0
4
4
4
18
0
32
0
4
0
0
36
0
0
0
16
0
0
0
0
4
0
4
4
0
1
1
1
1
0
0
16
16
0
2
2
2
2
0
2
8
8
8
0
0
0
0
0
8
0
8
8
8
24
0
16
0
16
2
2
2
0
0
20
10
8
8
0
16
0
20
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
6
6
20
0
0
8
2
24
8
8
8
8
8
0
8
8
0
0
0
0
1
1
2
28
0
16
1
1
32
32
5
5
5
5
9
0
0
0
0
0
0
2
0
8
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
8
16
16
0
0
0
0
0
16
16
16
16
0
0
0
0
0
16
16
24
24
2
4
20
16
1
1
0
0
0
0
16
16
16
16
2
0
0
0
0
8
16
0
0
8
0
1
16
20
2
0
20
16
2
0
0
1
1
1
32
0
0
0
16
4
8
32
0
16
0
8
0
0
0
0
0
0
0
0
0
29
0
0
4
4
4
0
0
0
0
0
62
62
0
4
0
0
0
0
16
16
16
8
0
8
41
0
1
16
16
16
8
0
21
21
0
1
0
8
9
8
0
0
8
4
4
0
0
0
0
0
0
1
1
1
28
16
40
16
16
16
0
0
0
0
5
5
5
16
16
16
16
0
0
0
0
0
0
20
20
0
0
8
16
8
0
1
0
0
0
0
0
16
0
0
0
0
0
0
0
24
0
0
8
0
5
5
0
8
0
8
8
0
8
16
1
0
0
16
16
0
0
0
0
2
4
4
2
1
17
0
0
32
16
0
0
0
0
0
0
0
4
0
0
0
4
0
0
0
0
0
16
16
9
8
0
1
0
8
2
2
0
16
0
8
8
0
0
2
0
0
8
0
16
16
16
16
4
0
0
0
0
0
0
16
16
12
12
1
0
16
0
0
8
0
0
0
17
0
0
0
0
0
0
0
4
4
16
16
0
0
0
8
0
0
20
2
0
0
0
0
0
0
0
0
0
0
16
16
16
0
0
0
8
8
8
2
8
0
0
8
0
0
0
0
0
8
8
0
0
2
2
0
0
5
0
16
16
16
16
16
2
0
0
0
0
8
0
0
8
0
0
8
0
24
0
0
0
0
0
0
16
0
8
0
16
0
0
0
16
8
8
8
0
8
0
0
16
0
0
0
0
16
0
0
0
0
16
8
0
0
0
0
2
2
16
24
0
8
32
8
8
8
8
8
8
0
8
16
1
0
8
8
0
0
0
0
0
0
8
0
10
0
16
16
16
8
8
8
0
0
0
0
0
0
0
0
0
0
1
0
1
2
2
8
8
0
4
4
4
16
2
24
0
32
32
8
8
2
8
8
2
8
0
12
0
8
0
0
0
0
16
0
0
0
0
4
0
0
8
16
16
2
2
2
0
16
4
19
16
8
17
0
40
16
16
41
0
8
0
0
0
0
4
4
4
0
0
16
16
0
16
0
0
0
0
0
0
0
0
0
0
16
16
5
1
2
0
0
8
0
0
8
0
0
5
0
0
0
0
0
2
2
16
16
16
0
10
16
4
0
16
8
24
0
8
0
0
0
0
8
8
8
8
8
8
8
0
0
0
0
1
18
16
8
0
8
2
8
0
0
8
8
0
1
1
0
17
16
4
4
8
0
0
2
2
8
20
44
0
8
8
8
0
0
0
0
16
8
8
4
8
0
0
24
0
8
0
16
8
8
8
0
4
2
9
0
0
0
0
0
0
0
16
16
8
8
16
16
16
0
1
8
0
0
0
16
16
1
0
0
1
1
48
0
24
4
16
0
8
0
0
0
0
0
0
0
0
0
0
0
8
0
0
8
0
0
0
0
0
2
19
0
10
16
24
16
4
0
0
0
0
9
0
0
4
16
16
8
8
16
0
0
16
16
0
0
0
4
0
0
0
0
4
25
0
0
0
1
0
0
0
32
32
32
2
8
0
0
8
0
0
0
4
0
0
0
0
16
0
40
1
0
0
16
16
0
8
20
20
2
8
8
0
1
8
8
8
8
4
0
0
0
12
16
16
16
4
0
0
18
0
16
2
24
24
0
0
0
0
0
0
0
4
0
0
0
16
16
0
0
0
2
8
16
6
5
0
16
0
8
16
1
24
10
8
0
17
0
4
0
0
0
8
4
4
4
2
0
0
0
8
8
1
9
4
4
4
16
2
8
0
0
0
0
0
10
0
0
16
16
0
0
0
0
0
8
0
8
8
8
0
0
0
0
0
16
0
40
0
2
2
0
0
0
0
0
16
16
16
16
0
0
0
0
0
4
8
8
8
0
8
0
0
0
0
8
16
8
16
4
0
0
16
16
16
8
8
8
8
8
8
0
0
0
0
16
0
0
0
0
32
1
4
16
0
0
9
8
0
0
24
0
16
0
18
18
0
0
8
8
0
4
4
0
0
8
8
8
32
32
32
16
16
8
8
16
1
8
8
8
16
0
0
0
0
0
0
0
16
18
0
8
8
0
0
0
8
0
1
1
0
1
1
0
0
8
2
2
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
16
16
16
8
48
0
0
8
8
0
1
0
8
4
4
0
0
0
0
8
0
16
16
4
0
0
0
0
18
24
0
0
0
0
0
0
8
0
0
0
16
4
0
0
32
32
17
0
17
16
37
8
8
32
0
0
5
5
8
0
0
0
11
11
0
2
8
0
0
0
16
0
0
0
2
2
4
0
0
16
8
8
16
8
8
16
24
8
6
6
0
0
2
16
0
0
0
8
8
0
8
8
0
0
0
8
8
4
1
1
0
8
8
8
8
4
16
16
16
16
16
0
0
0
0
24
17
0
1
17
8
0
0
0
0
0
0
8
17
4
16
16
16
0
0
0
0
8
0
0
0
8
8
8
0
0
0
0
4
0
16
8
8
8
0
20
20
0
0
0
0
0
0
4
0
16
16
16
16
8
8
0
0
16
0
16
16
8
0
0
1
0
4
4
0
0
16
16
0
8
8
8
0
8
8
8
0
16
16
16
0
0
0
0
0
0
16
1
2
16
32
32
1
1
16
8
0
1
1
24
8
0
0
0
0
0
0
0
0
8
0
0
0
0
2
2
8
12
16
24
20
28
28
0
0
0
0
0
0
0
0
2
2
0
0
0
0
2
0
0
0
0
0
0
2
2
16
2
4
8
8
8
8
8
0
0
0
0
4
0
0
0
2
0
16
16
16
0
8
0
0
0
8
12
12
4
4
16
8
0
0
8
1
1
0
1
16
0
4
0
8
0
0
0
0
20
0
0
0
0
0
2
2
0
0
0
0
16
0
0
0
0
0
0
0
0
0
4
32
0
1
0
8
12
4
4
0
0
0
0
0
0
0
0
4
0
0
8
0
16
16
16
16
4
0
0
0
0
0
0
2
16
16
5
16
0
24
24
0
8
8
5
5
1
1
8
0
4
0
0
0
0
0
21
0
0
0
0
0
0
0
0
0
0
1
16
8
24
0
1
18
2
8
8
0
0
0
4
32
8
12
0
4
4
4
0
0
8
0
16
0
0
0
0
0
0
0
4
24
4
4
0
8
33
0
1
8
8
0
16
8
12
8
8
8
3
0
9
0
8
16
8
0
0
0
0
0
24
8
8
0
0
0
8
0
0
8
4
0
8
8
32
4
8
0
4
4
4
16
0
0
4
4
4
0
0
0
8
0
1
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
8
0
8
0
0
16
16
16
0
0
0
0
0
0
0
16
0
10
20
20
20
24
16
0
4
4
0
0
6
0
0
9
0
2
0
0
0
0
1
8
8
8
8
8
0
0
0
0
0
16
16
16
8
8
4
4
0
0
8
0
0
0
0
0
16
16
0
0
0
0
16
56
16
4
2
0
0
8
4
0
8
8
16
0
0
0
8
0
0
56
16
16
8
8
0
0
8
0
0
14
16
0
0
0
0
0
2
0
0
8
8
0
0
0
8
16
16
2
2
0
0
0
4
4
0
0
0
0
0
0
16
0
16
16
16
8
8
0
0
0
0
0
0
2
0
0
0
0
0
0
16
16
20
0
8
0
17
8
0
8
0
0
0
0
0
0
25
0
0
56
4
8
8
0
0
0
0
2
0
0
0
20
0
8
8
0
0
4
1
0
16
16
16
16
16
16
4
0
24
24
32
32
16
16
16
16
16
16
16
16
16
1
0
0
8
2
0
16
16
16
0
2
0
8
2
2
2
2
0
0
0
0
0
0
0
0
2
0
0
0
0
4
4
0
8
8
0
0
0
0
0
0
0
1
16
16
16
16
16
0
0
8
0
16
0
0
1
16
16
0
16
16
4
0
0
0
0
0
8
8
4
0
24
24
32
8
0
0
24
8
8
16
0
0
8
2
2
2
8
8
0
4
0
0
0
0
0
8
0
0
2
1
4
16
0
0
0
16
0
1
16
0
2
0
12
0
0
1
0
24
24
24
0
0
17
8
0
1
1
24
24
0
8
25
0
0
0
8
0
0
0
0
8
8
0
16
2
16
0
4
4
4
24
0
20
20
20
18
16
0
6
2
2
0
8
4
4
4
4
0
0
0
0
8
8
4
8
8
8
0
8
0
0
0
8
8
1
1
0
8
0
0
0
24
0
32
0
16
16
16
16
16
0
0
0
0
0
0
16
16
1
1
8
8
0
1
1
1
1
0
0
0
0
0
0
8
0
0
1
0
0
8
0
0
0
0
0
0
0
16
16
13
0
0
32
30
30
8
16
0
0
0
0
8
8
0
16
0
0
8
8
0
8
0
32
16
8
8
8
1
0
0
8
8
0
0
0
16
16
16
16
16
20
20
10
10
0
16
8
8
0
4
4
0
0
4
0
8
8
8
8
8
16
4
8
8
4
4
4
8
8
8
24
24
16
4
4
4
4
4
4
4
4
0
0
8
0
16
16
16
0
0
0
16
16
16
16
0
1
0
12
16
16
16
22
0
0
4
4
2
2
2
8
0
0
0
16
8
0
0
0
2
0
0
8
4
8
8
8
8
4
4
0
0
16
0
0
1
8
0
0
0
0
18
18
2
2
2
2
0
24
0
0
0
8
8
26
0
0
0
24
24
24
0
0
0
0
0
0
0
0
0
0
0
0
17
17
17
0
0
8
0
8
0
0
0
16
4
0
0
0
0
0
0
0
0
4
4
0
0
0
8
24
8
8
0
0
0
0
1
1
0
8
8
2
2
30
16
0
0
0
0
0
24
22
24
24
24
0
8
0
0
0
0
4
0
24
0
0
0
16
4
0
0
0
48
0
20
0
0
2
16
8
0
0
0
0
0
0
0
0
0
16
0
0
0
8
8
0
0
0
0
0
0
0
24
24
8
8
8
0
0
1
4
0
0
8
16
8
0
8
8
8
16
0
16
0
8
8
0
4
4
0
0
0
0
0
8
0
0
8
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
2
8
8
8
0
0
0
2
8
8
8
4
4
4
8
0
8
0
4
4
24
8
0
0
0
0
0
8
0
0
0
16
53
53
0
8
0
0
8
8
8
0
10
0
0
0
16
8
8
16
16
8
8
8
8
8
0
0
8
16
0
0
0
8
0
0
16
0
16
1
0
2
0
8
0
0
0
0
20
20
8
0
0
0
0
24
0
16
16
16
16
0
0
16
8
0
0
0
0
0
0
8
0
4
4
2
2
8
8
8
0
0
0
0
0
16
16
0
0
0
8
4
4
0
0
0
0
9
0
0
0
0
0
1
4
8
0
0
0
24
24
8
8
8
0
16
0
0
0
0
16
0
0
0
0
0
0
16
16
16
0
24
8
8
8
0
16
16
0
8
0
0
0
2
0
0
8
4
8
8
0
2
0
8
8
8
17
0
1
2
2
0
16
0
0
0
0
0
2
0
0
8
16
8
0
0
0
0
16
16
0
0
0
0
0
4
0
48
0
2
0
1
18
16
0
0
0
0
2
0
0
8
16
16
16
8
0
16
4
6
6
6
16
16
0
8
0
8
8
0
0
0
0
51
0
16
16
16
16
0
4
0
0
16
0
0
0
8
0
9
2
2
2
8
2
16
0
2
0
22
22
4
0
8
0
2
0
0
8
8
0
0
0
1
0
0
0
8
8
0
4
48
48
48
8
0
8
0
0
8
0
8
8
0
0
0
8
8
0
8
32
0
1
20
0
0
9
2
16
8
0
8
8
0
2
2
0
8
0
16
8
8
8
8
0
0
8
0
0
0
0
4
4
8
16
16
16
16
4
4
4
0
2
2
2
0
0
24
0
1
4
16
0
0
0
4
4
4
4
16
8
8
0
1
24
8
1
8
8
0
8
8
8
8
16
8
0
0
0
0
0
0
0
16
16
16
0
0
8
2
0
61
0
0
1
16
17
8
16
16
0
0
0
0
20
0
0
17
12
0
0
4
2
0
9
8
8
8
16
8
16
16
1
0
0
0
0
0
8
16
0
0
0
8
1
1
8
0
0
0
16
16
16
0
0
0
0
0
2
2
2
2
0
0
0
0
0
0
24
24
24
24
0
0
16
0
0
0
0
0
2
8
8
2
2
0
0
0
0
8
16
16
16
4
0
16
0
0
16
16
0
16
0
0
0
0
0
8
0
0
16
8
8
16
0
0
0
8
0
0
8
8
1
0
8
1
8
0
0
0
0
0
8
8
2
0
0
16
16
40
40
0
4
0
0
4
8
0
0
0
8
0
0
0
0
0
0
8
8
8
8
16
0
1
1
0
0
0
0
8
16
16
0
2
0
0
8
32
16
4
0
0
0
0
8
32
16
0
0
24
10
16
0
1
0
0
16
16
16
16
16
16
0
0
16
0
0
0
26
8
0
8
0
0
0
0
0
57
16
8
8
16
8
8
24
4
16
0
16
0
0
0
4
4
0
0
0
4
0
2
0
0
0
16
16
8
2
0
0
0
0
8
0
0
8
2
8
16
0
16
24
0
0
8
0
0
0
0
0
0
0
16
0
0
0
10
16
16
3
0
0
0
0
0
0
0
0
0
8
8
0
4
4
9
8
8
8
8
33
33
8
4
8
0
0
0
0
0
8
8
41
8
1
8
8
0
0
0
12
8
8
8
0
0
0
0
8
16
0
1
0
0
0
0
0
8
8
0
0
0
8
8
0
0
0
0
8
8
0
0
0
0
0
25
40
40
0
0
16
1
24
14
0
0
0
0
0
0
1
1
0
0
0
4
0
0
0
0
0
8
8
0
0
0
16
16
0
0
0
8
0
0
40
40
8
0
0
0
1
1
0
0
2
0
4
4
0
0
16
8
0
0
6
18
8
8
8
0
0
0
0
1
2
2
2
2
0
0
0
0
0
2
0
0
24
16
0
0
24
0
22
16
16
8
8
0
0
0
0
0
0
0
16
0
0
2
0
0
8
4
4
16
0
1
0
0
1
1
0
0
0
0
0
16
17
0
0
0
8
8
0
8
8
8
0
0
26
26
2
0
16
0
8
8
8
6
2
2
0
0
9
16
0
0
0
1
0
2
8
8
8
0
0
0
0
0
0
0
32
4
8
8
0
16
0
0
16
4
0
0
0
0
0
32
16
0
0
4
0
4
21
16
0
1
8
2
0
0
0
16
16
16
0
16
0
0
0
25
8
0
0
0
0
0
0
0
8
16
0
0
8
8
8
1
16
16
8
8
0
0
8
0
32
0
0
8
0
0
0
4
0
0
0
8
0
0
0
2
10
16
16
0
2
2
0
0
16
16
0
8
8
8
0
1
1
1
8
16
0
8
0
0
0
16
8
8
8
24
0
0
0
0
8
27
0
8
5
16
1
4
4
4
16
16
16
0
8
0
8
0
16
0
17
17
0
16
16
8
0
0
0
0
0
17
0
0
2
0
0
0
0
0
1
1
8
0
0
0
0
0
60
16
16
0
0
2
8
0
0
0
0
8
16
16
8
8
8
8
0
0
16
0
4
4
0
8
8
0
8
0
2
4
4
4
4
8
8
8
0
1
1
1
1
4
4
8
8
8
0
0
0
4
0
0
16
0
8
0
0
0
1
1
0
0
8
24
24
0
0
32
0
0
8
0
16
0
0
0
0
16
8
8
0
20
0
0
18
8
0
0
0
0
0
0
0
9
0
8
0
4
17
0
0
0
0
0
0
0
1
1
1
0
8
8
0
0
0
8
1
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
16
16
16
0
0
0
0
0
0
0
0
8
8
0
4
0
0
0
2
0
0
0
0
0
0
0
0
4
0
0
0
0
16
16
0
8
0
1
0
8
8
0
0
8
0
0
0
4
5
8
4
4
0
20
0
0
0
8
8
16
0
0
8
4
4
4
2
0
16
0
0
0
0
25
25
17
32
0
0
17
8
8
8
8
8
16
0
0
16
2
0
0
0
0
8
8
22
16
16
16
16
0
4
24
0
0
0
0
8
16
8
2
2
2
1
1
1
8
0
0
8
8
8
16
0
8
0
0
28
5
8
8
8
8
0
0
16
4
4
0
0
16
8
2
0
16
0
1
1
4
0
16
8
2
0
0
0
0
0
1
9
0
16
2
8
0
0
0
0
0
0
16
16
10
16
16
12
0
0
0
16
4
4
3
0
0
16
16
1
8
8
0
0
0
0
8
8
0
0
0
0
0
16
16
0
0
0
16
0
0
0
0
0
8
8
0
0
0
0
8
0
22
22
22
0
32
0
1
0
8
8
0
8
2
0
8
8
24
16
0
0
0
0
8
0
0
0
8
32
0
0
0
0
0
0
0
8
8
8
24
0
0
0
0
0
32
5
5
8
8
2
2
0
8
16
16
0
1
1
2
0
0
0
0
0
0
8
0
8
0
0
8
8
0
0
0
0
0
25
20
20
8
8
8
2
2
0
8
0
8
0
0
0
0
0
0
0
17
0
0
0
0
0
0
0
2
8
4
0
0
0
4
4
4
0
8
0
0
8
24
33
33
33
0
2
1
1
0
0
16
8
4
0
0
0
0
8
0
0
0
8
16
1
0
20
20
0
16
16
16
16
16
0
0
0
32
19
0
0
8
8
8
20
0
0
24
8
0
16
16
0
8
8
8
16
16
1
0
0
25
0
1
1
8
8
0
0
8
10
0
0
4
4
16
16
0
8
0
0
0
8
8
8
25
25
0
0
9
0
1
0
1
0
0
0
0
0
0
0
0
24
0
58
0
0
52
4
4
4
4
4
0
9
14
0
0
4
0
8
17
17
0
0
0
0
26
26
26
26
26
1
0
0
0
2
33
2
8
0
8
8
8
8
8
16
8
8
1
1
0
0
8
4
2
24
32
16
24
24
0
0
0
0
4
4
0
0
0
0
8
8
8
0
0
1
0
0
8
0
0
0
0
0
0
0
0
0
7
8
8
8
8
8
0
0
0
0
0
0
8
0
0
16
16
0
2
32
0
2
2
2
4
4
4
6
0
0
4
4
4
1
16
2
2
2
2
2
32
8
16
16
0
2
16
0
16
0
0
0
0
16
16
16
16
0
0
2
2
2
0
0
0
0
0
0
16
0
0
0
0
2
0
0
0
0
0
8
8
16
8
8
0
0
8
0
0
16
6
6
6
1
1
0
0
0
4
20
0
0
0
0
0
11
11
0
0
8
16
0
0
0
0
0
22
0
1
0
0
0
0
0
0
0
0
8
0
0
0
0
0
16
16
1
1
1
0
1
0
0
8
0
24
0
0
0
16
8
8
18
32
8
0
8
0
0
26
8
8
8
8
8
0
0
0
0
0
0
0
0
0
4
4
0
0
20
0
8
0
8
8
1
16
8
32
16
8
0
42
42
7
0
0
0
3
0
28
0
0
0
0
8
0
8
0
0
2
0
0
0
0
0
0
16
16
0
0
8
0
16
16
16
16
4
4
0
16
2
2
2
20
8
16
16
0
0
0
0
2
8
8
16
32
32
32
0
1
0
8
24
17
0
0
0
8
1
0
8
8
0
0
0
0
17
0
0
8
4
4
4
0
0
0
16
32
32
32
32
32
32
32
0
2
0
1
4
4
4
4
4
4
4
4
4
0
0
0
0
16
16
48
0
16
0
0
0
0
0
0
0
16
0
8
0
16
16
0
8
8
0
16
8
16
0
8
0
16
1
0
0
0
8
0
0
0
0
8
8
0
0
10
0
0
8
0
16
16
0
0
0
0
1
16
0
0
0
8
8
8
4
4
2
0
16
16
16
16
16
0
2
32
12
0
1
0
0
20
8
8
8
0
8
8
4
0
9
1
0
3
3
8
8
0
1
1
16
0
0
8
8
0
6
0
0
0
20
0
0
8
0
0
0
0
8
8
12
4
16
8
0
0
0
0
0
0
0
0
0
0
2
8
4
44
4
16
6
0
0
0
0
0
8
20
20
0
0
4
0
0
8
0
0
0
0
0
24
24
8
8
16
8
16
8
16
0
1
8
8
0
2
16
16
16
16
24
4
4
4
16
1
1
1
0
0
8
0
0
0
0
8
0
0
0
8
8
32
0
0
8
0
8
8
0
0
8
0
0
16
8
8
0
0
0
22
16
0
16
8
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
20
4
16
16
16
42
26
0
12
12
12
12
0
1
16
1
8
2
2
2
0
4
16
5
0
0
8
8
8
0
0
0
8
8
2
2
16
0
0
0
16
0
0
0
0
8
16
16
32
8
8
8
8
8
8
8
17
1
1
1
0
0
0
0
0
0
0
8
1
1
1
1
4
0
1
0
0
0
8
0
0
58
58
58
58
0
16
16
8
1
0
0
0
8
9
0
8
0
0
8
0
0
0
2
16
16
16
0
8
0
0
1
0
0
0
2
2
8
0
0
0
0
8
8
0
0
24
0
0
0
0
0
0
8
0
2
2
2
2
0
0
0
5
1
1
1
16
2
0
32
4
4
16
32
32
0
1
1
1
4
0
0
0
0
8
8
18
16
0
0
24
24
8
8
8
0
0
0
0
0
1
0
0
0
8
8
4
0
0
16
8
24
24
0
0
16
8
8
8
8
8
0
4
16
16
8
12
12
12
0
0
0
4
20
20
16
16
16
16
0
0
8
16
1
4
8
0
4
0
24
24
0
0
0
0
0
2
17
17
0
0
8
8
0
0
0
0
0
18
0
0
0
0
16
16
2
2
0
0
0
0
0
2
1
1
1
4
8
0
0
16
16
0
16
0
0
20
0
8
8
0
8
0
0
8
4
0
0
0
0
1
16
0
0
8
12
16
0
0
0
0
0
0
16
8
0
0
16
16
1
1
16
4
0
0
2
16
2
8
8
8
8
8
8
8
40
8
8
0
32
17
1
1
1
8
4
4
0
0
0
0
2
2
0
0
0
0
0
8
8
1
0
0
0
8
16
0
0
0
0
24
24
8
0
0
1
32
8
8
0
0
16
16
16
24
10
8
16
8
16
22
0
8
0
32
32
32
8
0
0
0
8
0
0
6
0
0
0
16
0
0
8
0
0
4
1
1
1
0
16
16
16
8
1
1
0
12
0
4
0
0
0
0
16
16
16
0
0
1
0
0
8
0
8
0
0
12
0
43
8
8
8
16
16
16
32
32
32
32
8
0
0
0
32
32
32
0
0
8
8
0
16
24
0
0
4
0
0
0
16
0
4
0
0
0
16
16
0
0
0
0
4
4
4
4
4
4
4
8
6
6
12
12
0
0
16
0
0
0
8
16
0
0
0
21
0
8
1
4
0
0
8
1
8
16
8
0
0
0
4
8
0
6
0
0
24
0
4
40
8
0
0
8
0
0
0
0
0
16
16
16
16
16
16
16
16
16
16
28
0
0
0
0
8
8
0
8
0
4
4
0
0
0
0
0
0
8
8
8
8
8
16
16
0
0
0
8
0
0
0
16
16
10
10
0
0
1
20
0
0
0
16
16
8
8
8
0
4
0
0
0
0
16
0
0
0
0
0
16
16
5
0
16
0
0
0
0
16
16
16
8
4
4
0
0
0
4
4
4
2
2
2
0
0
8
8
8
8
8
0
1
1
1
0
0
0
8
4
4
8
40
40
40
16
16
0
0
0
0
8
0
8
0
0
0
0
0
8
8
1
1
8
0
20
56
56
0
16
0
4
4
16
16
16
0
0
0
0
8
4
13
13
13
13
0
0
0
16
16
16
0
2
1
0
0
8
8
4
4
4
0
0
0
0
16
16
0
0
0
0
8
0
16
0
0
0
0
1
2
0
0
0
9
9
9
9
9
24
16
0
0
0
0
0
0
0
0
0
0
8
0
0
0
1
1
8
0
0
16
8
8
0
16
16
16
16
0
8
16
0
4
8
16
0
24
24
24
4
8
0
0
0
0
0
0
0
16
32
16
16
8
0
0
16
0
0
0
4
0
0
0
8
0
32
1
16
16
8
0
4
2
2
16
0
4
2
2
2
0
16
0
16
0
0
8
0
0
0
20
20
0
0
0
0
0
0
8
0
0
8
0
8
0
16
0
0
4
16
8
8
8
0
16
16
16
8
32
8
8
8
16
16
8
8
8
8
0
0
0
8
0
0
0
20
0
1
16
0
0
0
0
0
0
0
0
0
0
16
0
0
0
24
0
0
8
0
0
0
0
0
4
16
17
8
8
8
0
27
0
0
0
1
1
8
8
20
4
1
1
1
1
28
4
4
16
0
0
0
0
0
0
0
0
0
0
17
0
8
35
0
0
0
0
16
16
0
0
16
0
0
8
24
8
0
0
0
0
0
8
0
0
0
4
4
4
48
0
0
0
0
0
0
8
0
0
0
0
0
10
0
0
2
0
0
0
8
8
8
0
1
2
0
8
0
4
0
0
0
0
0
0
0
0
0
0
0
0
20
16
8
8
16
0
0
0
4
0
0
0
24
0
0
0
0
20
20
2
2
16
30
0
0
1
8
8
8
8
0
0
32
32
0
8
0
0
0
8
8
24
0
33
8
0
0
0
0
16
16
32
32
0
0
0
0
0
0
33
20
0
0
1
0
0
16
12
0
0
0
0
0
24
24
0
0
0
0
16
48
0
8
0
8
0
0
0
0
0
0
0
8
8
8
8
0
16
0
0
0
0
16
8
8
16
0
0
0
17
0
32
0
8
0
0
0
0
0
0
1
16
16
0
0
8
8
8
4
16
16
0
8
0
0
8
0
8
0
0
0
8
0
0
0
4
6
16
16
16
16
16
16
16
16
16
16
0
0
8
0
0
40
0
0
0
0
0
0
8
14
18
18
0
0
25
16
16
0
0
0
0
0
8
0
0
0
4
0
0
0
0
0
0
0
8
8
8
0
0
24
63
0
0
0
0
0
0
1
2
0
1
1
0
0
0
0
0
0
0
4
0
1
0
0
0
0
0
2
0
8
12
12
8
2
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
12
12
0
8
0
0
4
4
4
4
4
8
0
0
0
0
0
8
0
8
8
0
0
0
0
0
0
0
0
16
8
0
0
16
16
16
0
0
0
0
0
8
8
0
8
8
0
0
0
0
0
8
0
8
0
27
27
0
0
0
8
0
16
0
2
4
0
36
36
0
0
0
8
0
0
0
8
20
20
2
8
2
0
9
8
8
16
16
0
0
0
2
2
1
0
0
17
17
1
0
0
8
8
8
8
8
8
8
8
8
8
8
0
0
0
0
4
4
0
0
0
0
16
0
0
8
0
4
4
20
20
0
8
0
0
0
8
16
4
4
2
2
16
0
0
0
0
0
0
0
4
4
0
0
0
0
0
8
8
0
0
8
10
10
0
0
2
16
16
0
24
8
0
16
0
0
16
8
8
8
0
8
20
1
16
16
32
0
8
8
0
8
8
4
8
16
0
0
0
0
0
0
8
2
16
4
16
0
1
17
28
28
0
0
8
8
0
16
4
16
2
2
2
2
2
0
8
16
16
16
0
0
0
0
0
0
8
8
8
8
8
0
0
0
0
0
1
1
17
8
8
8
0
0
8
16
0
16
8
0
32
8
8
4
0
0
0
0
16
16
16
8
16
8
0
0
4
18
0
0
0
0
25
25
0
16
0
0
8
0
8
8
0
8
8
8
8
8
8
2
2
8
0
0
24
1
32
0
0
32
40
0
0
0
17
0
0
0
4
8
8
0
12
0
0
0
0
18
0
0
0
16
0
16
16
16
0
0
0
24
26
26
34
0
16
16
8
4
4
8
0
8
0
8
16
8
8
8
0
0
0
16
4
0
0
8
0
0
0
0
0
8
8
8
8
0
0
0
16
20
20
0
0
0
0
1
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
8
8
1
1
1
1
1
0
0
0
0
2
0
0
0
0
0
2
0
0
0
8
0
8
4
8
8
2
2
4
0
0
8
1
1
1
0
0
16
16
16
0
8
0
0
0
2
2
2
2
2
2
16
8
4
4
0
0
0
0
0
8
0
0
0
0
4
8
2
0
4
0
16
16
0
0
0
8
1
0
0
8
0
0
0
0
0
5
5
9
4
0
0
0
16
0
0
0
5
0
24
0
0
0
2
0
0
0
0
0
8
8
8
0
0
16
0
0
0
8
0
0
16
16
0
0
0
0
0
0
0
2
2
2
0
0
4
0
0
0
0
4
1
1
1
1
6
6
25
25
0
2
0
0
0
0
0
0
4
16
0
8
0
0
0
8
8
0
0
0
0
8
0
0
8
0
0
1
0
0
0
0
0
8
0
0
0
8
8
8
8
8
16
0
2
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
8
8
8
1
16
0
0
16
8
0
0
8
8
0
0
0
0
0
0
0
8
0
0
8
24
0
0
0
0
0
0
4
0
0
0
8
8
8
8
8
8
0
8
0
0
16
33
0
0
4
16
16
8
8
24
24
8
16
8
0
0
0
16
16
16
0
0
8
0
8
8
8
16
8
8
16
16
4
0
0
4
4
0
0
17
17
0
8
8
8
0
0
0
0
0
5
5
0
4
0
4
0
8
8
8
0
16
8
8
25
0
4
0
0
0
8
0
24
0
0
1
1
0
0
1
1
1
2
2
2
8
8
9
0
0
0
4
8
0
8
0
0
0
16
8
4
0
8
8
20
0
0
16
16
4
0
8
0
18
0
8
24
8
8
8
8
0
0
0
0
16
0
0
8
0
0
16
8
8
0
0
16
0
1
0
0
16
0
0
0
32
16
16
0
0
0
0
32
32
32
16
0
16
0
32
32
32
32
1
6
6
0
0
0
0
0
9
9
0
0
0
0
0
1
1
0
1
8
8
8
8
8
8
24
16
16
8
20
52
8
8
0
0
0
16
8
8
0
0
20
20
8
8
8
0
4
0
8
8
16
16
8
0
0
1
0
0
8
8
0
0
0
0
0
1
8
0
0
0
16
1
0
0
0
8
0
16
16
16
0
0
0
0
0
0
0
0
16
4
0
0
0
0
0
0
8
8
0
17
8
0
8
18
8
0
0
0
32
32
0
0
0
0
16
16
0
2
2
2
2
21
21
21
1
0
0
1
0
0
16
16
16
0
0
0
0
4
0
1
8
2
0
8
16
0
3
3
3
3
34
0
8
8
0
8
8
1
1
1
1
1
1
0
2
0
4
0
8
8
8
8
8
8
8
0
0
1
0
0
16
0
0
0
16
16
8
0
1
20
20
20
32
0
16
8
0
0
16
4
4
20
0
8
8
8
8
8
0
0
0
0
16
16
16
0
0
0
0
44
1
16
0
0
1
1
4
2
2
2
2
16
0
0
0
0
8
8
8
4
8
8
8
8
0
0
8
8
45
1
0
0
8
16
0
4
0
0
0
0
0
0
0
18
0
0
8
5
0
0
16
0
0
0
4
24
0
4
4
0
8
0
16
16
1
16
16
16
20
16
0
0
17
8
8
4
4
8
8
0
8
0
0
16
32
0
4
0
0
16
8
8
4
16
32
0
32
0
0
0
8
0
0
0
0
0
0
0
0
0
8
8
0
0
2
8
8
8
4
8
8
0
0
0
0
0
0
0
0
0
0
16
1
8
0
16
0
0
0
16
0
8
1
0
0
0
8
0
0
0
17
17
17
16
0
0
3
0
0
16
4
0
2
2
2
8
4
4
4
24
24
24
24
24
0
2
0
0
2
18
18
18
0
8
4
8
8
4
4
2
0
0
0
0
4
0
8
8
1
1
8
0
0
0
1
0
8
8
8
8
8
0
0
0
0
0
1
0
0
0
0
2
8
8
8
16
16
0
17
16
16
16
8
8
8
0
0
0
0
16
16
1
16
0
0
8
0
32
32
20
8
8
0
0
8
0
16
2
0
0
0
0
0
1
0
0
16
16
16
16
16
24
24
0
4
4
4
8
8
0
0
0
2
2
0
4
4
0
0
0
0
0
0
0
0
0
8
8
16
3
8
4
8
8
0
0
0
0
22
0
22
12
0
8
8
8
16
0
9
0
0
0
0
0
0
0
0
0
14
14
24
1
0
16
8
8
16
16
16
16
0
8
8
8
0
0
0
8
8
0
0
16
16
16
4
0
0
0
0
0
16
16
0
8
4
0
1
1
2
2
16
16
0
0
8
1
1
9
1
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
8
0
16
16
8
8
8
16
0
4
0
8
0
17
8
8
8
0
24
24
12
8
4
4
0
8
8
8
8
8
8
8
0
0
16
16
8
0
0
0
0
0
0
0
0
16
8
0
8
0
0
0
0
16
16
0
0
48
48
24
24
16
16
8
2
0
1
1
1
1
0
8
8
8
16
8
8
8
8
8
8
0
0
8
0
0
4
0
16
0
0
13
9
9
0
0
8
16
0
0
0
0
8
0
8
8
8
8
0
0
0
0
0
0
0
0
0
8
0
4
0
4
8
0
0
0
1
0
0
0
2
1
8
2
0
1
1
1
56
24
0
0
8
0
0
0
0
0
0
0
16
8
0
8
0
0
0
16
2
2
0
8
0
0
0
0
0
0
0
0
0
0
16
0
16
0
0
8
8
16
0
8
0
0
1
1
0
0
0
0
8
8
8
2
16
16
0
8
2
2
6
24
24
0
0
0
0
0
8
8
0
7
0
0
0
0
2
0
1
16
4
4
2
2
0
0
0
0
0
4
4
0
4
0
0
8
0
8
0
0
1
0
0
0
0
0
8
1
4
0
8
0
0
0
16
0
0
0
0
0
4
4
2
16
32
16
0
16
16
0
1
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
0
0
0
0
0
8
8
0
0
0
0
16
0
0
0
16
8
4
28
28
16
0
0
8
0
8
8
0
14
8
0
0
8
8
0
0
0
0
0
0
20
0
0
0
0
0
0
16
0
20
0
0
8
16
8
0
0
0
0
4
8
0
2
1
0
0
0
0
0
9
0
0
16
8
4
0
0
0
0
0
8
8
8
8
0
8
0
0
8
48
48
48
16
0
0
4
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
8
8
4
0
0
16
1
1
1
0
0
8
4
0
8
8
0
0
0
8
0
1
2
0
0
0
0
0
12
12
12
2
2
16
16
0
0
0
16
16
16
8
8
8
4
2
0
0
0
4
0
0
0
2
8
0
10
10
10
1
1
1
1
0
3
0
0
0
0
8
16
1
0
0
0
0
16
16
0
0
8
8
8
8
8
0
0
0
16
0
0
0
0
8
8
0
0
0
1
4
0
8
8
8
8
0
0
0
0
8
0
8
8
8
8
0
8
8
2
2
2
0
0
16
16
4
0
0
16
8
17
4
0
0
0
2
0
1
0
8
0
16
4
0
0
0
0
0
0
0
1
1
8
8
8
10
0
0
0
8
8
16
1
0
0
0
4
4
4
4
0
0
0
0
0
0
8
1
0
8
0
0
0
16
0
0
0
8
0
0
0
0
0
0
1
8
8
1
0
0
0
24
24
8
4
0
17
0
0
10
0
0
0
18
16
0
0
4
16
16
16
16
4
8
0
0
0
0
0
0
0
0
0
16
0
0
16
0
0
0
0
0
0
0
0
0
32
28
0
0
0
0
8
0
0
0
0
0
0
8
10
0
0
0
0
0
0
4
0
0
0
16
16
16
16
2
0
0
20
8
16
2
2
0
16
16
16
0
0
2
8
0
3
0
0
4
2
2
0
16
16
16
0
0
0
0
0
24
8
8
8
0
40
16
16
16
16
25
25
25
25
16
1
8
32
32
0
0
16
16
0
1
32
18
18
0
0
24
24
24
24
10
10
10
24
32
8
8
2
2
0
0
0
0
0
0
2
8
0
8
8
0
16
16
32
1
1
0
2
8
8
16
16
16
49
32
32
16
16
16
16
16
0
24
9
9
9
2
16
4
4
0
0
0
0
0
16
0
16
16
8
8
6
4
16
16
1
1
0
2
8
32
32
40
16
2
0
0
8
8
8
8
0
0
16
1
1
0
16
16
0
0
8
8
0
4
18
8
0
0
0
0
0
0
0
17
17
17
17
17
17
0
0
8
0
8
8
0
16
0
0
0
32
32
0
0
0
8
8
8
8
0
8
0
8
20
20
20
20
0
16
16
0
1
1
0
0
8
24
0
0
0
8
8
8
16
0
0
0
0
0
2
0
16
0
0
0
16
0
16
16
16
16
0
0
0
0
0
16
16
0
0
0
16
16
12
12
8
0
2
2
1
0
4
4
0
8
0
0
0
0
0
16
16
16
0
0
0
0
8
0
0
0
0
0
0
16
8
24
28
4
8
16
8
0
0
16
8
0
0
0
0
0
0
0
8
8
19
16
16
0
0
0
0
32
0
16
16
0
0
8
36
8
8
8
0
0
4
4
0
0
24
16
16
8
1
16
0
0
1
16
16
0
0
4
8
0
0
0
0
0
12
12
12
0
0
0
0
2
2
2
2
1
0
0
0
8
0
0
0
0
0
0
32
32
1
0
8
0
16
0
8
24
11
0
0
16
8
0
17
17
2
2
16
0
8
16
16
8
0
8
6
0
8
8
8
8
8
32
32
8
8
8
8
4
0
4
4
4
4
4
0
32
4
4
0
0
0
0
0
8
8
8
8
0
1
0
2
0
4
0
0
0
16
0
0
4
0
0
0
0
0
0
0
0
0
0
33
0
8
8
8
8
40
4
0
0
0
8
0
0
0
0
8
0
0
0
8
8
53
53
53
16
24
0
0
0
0
0
8
8
16
16
16
16
16
1
1
0
0
2
0
0
0
0
0
0
0
0
0
2
13
2
2
0
8
6
0
0
0
16
16
0
0
8
8
1
1
1
8
8
0
0
0
8
8
0
8
8
0
0
0
16
0
0
16
16
16
16
1
1
0
16
8
0
2
0
0
26
0
0
0
0
0
0
0
0
0
0
0
8
4
16
16
9
24
0
0
1
1
16
1
1
0
0
2
16
8
20
20
0
0
0
0
0
18
0
0
0
0
0
18
0
0
0
0
0
17
4
0
1
0
8
16
8
0
0
0
1
0
0
2
4
0
0
0
0
0
0
24
24
24
8
1
0
0
9
9
9
8
0
9
0
0
0
0
8
24
24
0
16
16
16
16
0
32
32
0
0
0
0
0
8
0
0
0
0
0
0
8
16
42
16
0
0
6
0
0
34
0
0
0
0
10
18
16
0
0
0
8
0
0
0
0
0
0
0
0
0
1
9
16
16
8
48
0
0
0
0
0
0
4
0
1
1
8
8
8
8
8
8
8
8
16
17
0
0
0
0
2
2
8
29
0
0
0
0
0
0
0
0
0
0
8
0
8
0
0
0
0
0
0
0
0
8
8
8
17
8
8
8
1
1
16
28
0
0
0
0
22
0
0
0
8
4
8
8
8
8
0
0
8
0
8
44
16
16
16
0
0
24
24
24
0
0
0
0
0
0
2
16
0
8
0
0
0
8
0
16
0
8
1
8
28
0
0
16
8
8
8
0
0
8
8
8
8
8
8
8
0
0
0
2
3
0
0
8
16
8
0
0
16
12
12
24
0
0
0
0
0
2
2
2
2
0
16
8
0
0
0
4
4
0
0
8
0
1
16
0
0
0
4
0
0
0
4
2
2
0
0
0
16
24
0
16
24
32
0
8
8
0
8
8
8
0
8
8
8
0
0
0
0
0
0
0
0
4
4
8
0
0
0
0
0
0
0
4
0
0
0
0
0
0
16
16
16
0
0
0
0
0
8
8
8
8
16
0
4
4
0
0
16
16
16
8
32
32
0
0
24
2
2
2
0
0
16
20
0
0
0
4
16
0
0
0
0
0
0
1
0
1
10
0
0
0
8
0
0
0
0
0
0
0
0
8
8
16
16
0
0
0
16
0
0
16
0
2
1
1
8
0
2
0
0
0
0
4
4
0
16
8
0
8
0
0
0
0
0
2
2
0
4
16
16
0
8
0
16
1
16
0
0
0
8
8
16
16
1
16
16
24
0
0
4
8
8
8
8
8
8
16
16
0
0
0
0
0
0
0
2
0
0
8
4
4
4
9
0
4
4
4
4
34
0
4
0
16
16
0
0
0
0
0
1
0
1
0
4
24
0
0
0
0
0
0
0
0
48
48
48
48
48
48
8
1
0
2
0
0
0
0
0
17
17
0
8
8
0
0
0
0
0
16
16
0
0
16
16
0
0
0
0
0
0
0
32
32
24
0
1
1
1
1
0
0
37
37
8
0
18
0
0
24
0
24
12
16
8
8
4
0
16
0
0
0
0
8
8
0
1
4
5
8
8
8
0
0
0
0
0
0
22
18
0
0
6
2
2
8
8
0
8
8
0
0
17
16
2
2
2
0
0
1
0
0
0
0
16
0
0
0
16
0
0
1
8
8
8
8
8
0
16
16
16
8
2
0
0
0
0
16
16
4
16
16
0
0
32
8
0
9
1
1
16
0
0
8
16
16
0
0
4
18
36
36
8
0
0
0
0
0
0
16
0
16
16
4
0
0
0
24
4
25
4
16
16
16
16
0
0
8
18
18
0
8
8
0
0
0
16
0
0
4
4
4
0
0
0
0
16
0
24
18
0
8
32
16
0
16
16
6
8
0
8
0
20
20
8
0
0
24
24
24
25
0
0
2
0
16
0
0
8
0
4
2
0
8
8
2
2
2
2
0
0
16
20
8
8
2
0
8
8
8
0
16
0
8
0
0
16
0
2
16
4
48
16
0
0
0
0
0
0
0
0
0
0
4
0
16
0
0
8
16
4
16
0
8
0
0
0
24
0
8
8
8
8
8
8
8
8
1
0
0
1
0
0
0
0
0
0
0
8
8
20
6
2
0
8
8
8
4
0
16
24
0
0
2
16
16
0
0
44
44
8
24
40
40
12
22
22
22
0
0
0
0
1
0
4
0
0
8
32
0
4
0
8
0
0
0
9
8
8
8
8
8
8
24
0
0
0
0
0
0
20
20
8
8
8
4
4
2
2
0
0
8
4
9
4
8
8
16
24
16
16
16
1
0
0
0
4
4
0
16
0
0
0
0
0
8
2
2
0
4
0
4
4
0
16
16
16
16
0
0
16
32
32
32
4
8
0
4
4
0
0
2
2
2
2
2
8
8
8
8
0
0
0
0
0
0
8
8
1
1
1
0
8
16
8
0
0
0
16
16
0
0
16
4
0
0
0
16
24
8
2
0
0
33
4
0
0
0
0
24
9
0
0
8
0
16
0
4
35
35
0
0
0
0
0
0
0
0
4
4
4
4
0
0
0
8
0
0
16
0
0
0
0
0
8
16
16
16
16
16
0
0
0
0
16
16
0
8
0
0
0
20
4
0
8
0
8
8
4
0
16
8
8
0
8
8
8
8
0
0
0
0
2
0
0
8
8
24
24
1
1
0
8
0
0
0
0
1
0
0
0
0
0
0
0
0
2
8
16
4
0
8
0
0
16
4
4
8
8
1
1
0
20
4
4
8
8
0
16
4
2
0
1
2
2
0
0
0
0
0
0
0
30
0
16
0
0
0
8
0
0
0
16
0
0
0
24
0
8
18
18
1
0
16
0
0
26
0
8
8
0
8
0
0
0
0
4
24
0
16
24
1
1
48
0
0
8
8
4
16
4
0
0
0
4
0
0
0
0
16
16
1
0
16
0
8
17
16
16
16
16
8
8
0
0
1
2
0
16
16
0
0
0
8
1
0
24
24
24
2
8
0
0
16
8
0
20
8
8
16
0
0
16
0
8
32
32
32
0
0
16
8
0
0
0
24
8
0
0
0
4
5
32
32
8
0
0
0
0
16
0
8
0
4
0
8
8
8
16
2
0
0
0
0
16
16
0
0
16
16
16
16
8
0
8
8
13
13
0
8
3
8
8
16
0
8
0
0
4
4
8
0
0
2
2
0
0
8
0
0
0
0
8
8
0
32
32
32
32
0
8
0
0
2
0
0
32
32
32
32
0
0
0
2
0
0
16
32
0
8
0
0
0
8
0
4
0
8
8
0
16
0
0
0
0
0
0
0
0
8
4
8
4
8
18
1
30
30
0
0
0
0
0
21
0
0
8
0
0
0
32
0
0
16
8
8
4
0
16
16
1
1
0
0
2
2
0
0
0
8
8
8
0
0
0
8
0
0
8
2
2
0
0
0
8
0
32
32
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
16
16
0
0
0
0
0
24
17
0
0
8
1
0
8
8
8
16
32
1
16
9
35
0
16
8
8
8
1
0
1
0
16
16
0
0
0
0
0
16
16
0
0
16
0
0
8
0
8
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
20
8
0
0
8
0
0
8
0
0
8
9
8
36
2
0
0
0
8
16
0
0
24
8
24
16
8
2
0
0
16
16
16
8
16
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
2
12
4
16
21
0
0
0
1
0
0
0
0
0
0
12
0
17
0
0
0
0
8
17
16
8
16
16
20
24
2
2
0
0
0
0
0
0
0
0
0
0
0
0
8
0
8
0
4
0
0
0
0
0
0
0
0
0
8
8
16
0
0
0
1
1
0
0
0
0
0
0
17
0
0
0
8
4
24
24
24
24
24
8
4
8
0
16
16
16
8
24
24
8
0
8
16
0
0
0
0
8
8
9
9
9
9
9
8
8
0
12
0
0
0
0
16
0
8
8
1
0
0
0
16
0
10
10
10
10
16
16
0
0
0
0
0
8
8
18
0
4
4
8
1
0
0
4
2
8
18
16
0
16
8
0
8
8
0
0
33
33
33
0
8
0
0
0
0
0
0
8
8
0
0
0
0
16
8
16
0
8
8
0
0
0
8
33
33
8
8
8
0
0
2
2
0
0
1
16
0
0
0
8
10
0
8
8
16
0
0
0
16
16
8
0
4
4
4
4
0
8
8
0
0
0
0
0
0
0
0
0
0
0
2
4
4
20
0
0
0
0
16
8
0
4
4
0
0
33
0
4
4
1
1
1
0
0
16
8
0
0
2
2
0
0
0
0
0
0
0
0
0
8
0
16
0
0
0
0
0
0
0
16
8
0
1
18
8
8
16
0
16
16
8
16
16
0
0
0
0
16
16
16
16
0
0
16
0
0
16
0
0
0
0
0
0
8
16
16
16
0
0
0
0
0
0
0
32
8
8
8
0
0
16
0
0
8
8
1
2
1
1
0
0
0
8
16
16
8
8
0
0
0
24
24
24
2
16
16
1
0
0
0
0
0
4
0
0
8
4
0
16
0
16
0
0
0
0
8
8
8
8
8
0
16
0
0
0
8
0
0
0
0
0
16
0
0
0
0
8
0
8
0
0
16
16
16
16
16
0
16
0
0
32
0
0
5
3
8
8
0
0
8
0
8
16
16
32
0
0
0
0
0
20
0
16
8
0
8
24
24
24
0
0
8
8
16
16
16
8
1
8
8
8
16
4
4
4
4
16
0
0
32
2
8
8
16
0
16
0
0
0
0
0
0
0
0
0
16
0
16
16
0
8
16
16
0
0
8
3
8
16
16
16
0
2
8
8
8
8
8
0
4
16
16
16
0
0
0
4
4
0
0
24
0
8
8
24
8
8
0
0
0
0
0
0
8
0
17
17
10
1
0
4
6
4
32
0
0
0
0
0
8
8
0
0
0
8
8
0
0
8
8
0
0
0
16
1
4
8
0
0
0
0
16
0
8
16
16
0
0
0
8
8
0
0
0
16
16
8
0
8
8
0
0
0
0
0
0
0
0
0
16
16
0
0
0
16
8
8
16
8
8
0
0
0
16
8
1
0
0
1
1
0
0
18
18
8
0
1
0
24
0
13
8
4
6
6
0
16
0
2
2
2
0
2
4
0
0
8
0
0
2
2
2
0
0
0
1
0
16
16
16
16
0
0
0
0
8
8
0
0
16
16
5
5
5
1
8
8
8
0
0
0
8
8
8
0
2
2
2
8
24
24
4
20
0
0
0
0
0
0
0
4
4
4
0
0
0
8
0
8
16
16
8
0
0
4
0
16
0
0
0
12
0
0
0
0
0
4
25
25
8
16
28
3
0
0
8
0
0
4
8
0
0
0
0
0
0
0
0
8
8
16
16
0
20
20
24
24
0
4
4
24
0
0
0
2
2
16
0
8
8
0
0
8
8
0
8
8
4
0
8
0
0
0
52
2
0
0
16
8
0
4
0
16
0
0
0
0
16
0
4
24
0
0
0
0
0
0
0
0
0
0
0
16
0
0
16
0
0
0
16
16
0
0
0
0
0
0
0
0
0
1
2
16
0
0
0
8
24
0
0
0
0
0
8
8
16
0
16
16
0
0
19
8
0
0
7
8
4
4
0
16
8
8
1
0
0
0
0
0
16
1
0
8
40
8
4
4
0
0
8
8
0
0
4
8
8
0
0
17
0
0
0
16
16
0
0
0
0
0
0
0
0
4
4
4
0
1
0
4
0
2
18
18
0
0
0
4
1
1
4
8
8
12
0
0
0
0
0
10
2
0
0
1
8
8
0
0
4
4
0
0
0
8
32
32
0
0
0
4
4
0
24
16
1
1
0
0
20
0
0
0
0
0
0
8
17
20
0
0
0
0
0
0
0
0
0
0
0
0
6
0
38
21
21
0
4
4
8
8
16
0
0
0
0
0
8
8
8
0
0
0
2
0
8
0
1
0
0
1
0
0
0
0
0
8
0
8
8
1
16
4
4
1
0
8
0
16
0
0
0
0
0
16
8
0
0
8
8
8
8
8
8
2
0
8
16
16
16
8
8
16
16
16
16
16
0
0
16
16
4
0
0
1
0
0
19
2
8
8
8
0
0
0
0
0
0
16
16
0
0
0
0
1
4
4
0
0
0
4
1
1
1
0
0
8
0
0
8
8
1
8
0
0
0
8
0
8
24
24
0
0
8
8
0
0
0
0
0
0
20
20
0
9
0
0
16
8
0
0
0
16
8
0
0
0
0
16
0
0
0
16
0
16
8
0
0
8
0
2
0
0
40
40
0
0
0
2
8
24
9
9
9
4
16
16
0
8
48
14
0
0
0
0
8
8
0
1
0
8
32
0
2
8
0
16
16
8
8
0
0
32
21
0
8
0
0
16
0
20
20
20
20
8
0
0
58
58
1
1
0
8
0
2
8
8
16
16
16
16
16
16
0
0
0
0
16
16
8
0
0
32
32
32
0
8
2
8
8
8
0
0
0
8
0
16
8
56
56
56
0
0
0
4
0
0
0
0
0
0
8
0
8
8
0
5
0
8
8
4
8
0
4
4
2
0
0
4
8
4
4
4
0
8
0
0
8
1
8
0
1
8
8
0
16
16
16
16
16
16
16
0
0
8
8
0
4
1
1
1
1
8
16
0
8
0
1
8
0
0
0
0
0
0
0
24
0
0
8
8
0
0
0
0
0
0
16
0
0
0
2
0
0
16
16
4
0
0
0
1
1
8
8
0
8
4
0
0
4
2
2
0
0
0
8
0
8
8
16
8
8
1
0
4
0
0
16
0
18
16
16
8
2
0
0
0
16
8
8
13
34
16
17
17
0
4
4
4
4
4
4
4
0
8
8
8
0
4
4
4
8
8
0
0
0
0
1
0
0
0
0
0
42
8
8
0
0
0
8
8
53
53
16
1
1
0
0
0
0
0
8
32
0
2
4
0
0
0
0
0
0
0
0
4
4
0
0
16
16
0
0
0
0
0
0
0
4
4
4
16
0
16
1
0
0
0
9
9
9
0
0
0
0
16
8
0
0
0
8
8
0
0
16
1
16
8
4
4
8
8
24
0
2
2
0
0
0
0
0
16
16
16
0
0
8
0
0
0
10
10
10
0
0
0
0
8
1
8
16
16
24
8
0
8
4
16
0
0
0
16
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
16
0
8
8
0
0
8
0
0
8
0
0
4
0
0
0
0
0
1
0
0
0
0
0
0
12
4
4
0
0
2
0
1
16
16
0
0
0
16
16
16
16
0
0
8
16
0
0
0
8
8
4
0
0
19
0
0
8
16
32
32
0
8
8
0
8
0
0
0
0
22
22
22
0
8
1
8
0
0
16
0
0
0
0
0
16
16
16
16
16
0
0
0
0
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
16
16
16
8
0
0
0
16
4
8
0
0
0
0
0
0
0
0
0
0
0
4
4
2
8
8
0
16
16
18
8
8
8
4
16
16
16
16
16
0
8
0
4
4
10
10
10
16
16
0
0
0
4
0
4
0
0
0
0
8
8
16
16
0
0
0
16
0
0
16
0
0
0
0
8
8
16
1
0
0
0
0
16
8
8
16
8
0
4
8
8
8
8
0
0
0
8
0
0
0
0
0
8
0
24
5
0
8
8
16
16
8
0
0
0
8
8
1
1
5
0
16
0
8
0
8
0
16
0
4
4
4
0
4
20
0
0
0
8
56
56
2
0
16
0
24
24
8
0
0
16
0
0
4
4
0
0
0
0
0
0
0
16
16
0
8
8
8
2
8
16
8
8
8
0
8
8
0
0
8
8
7
8
16
16
0
0
20
0
0
0
9
0
8
0
0
16
0
8
8
0
4
4
4
4
0
24
24
0
0
0
0
0
25
0
0
0
16
4
4
0
17
0
12
0
8
8
8
8
0
16
16
0
8
8
16
24
2
0
0
0
16
0
0
0
0
0
0
8
2
6
6
6
0
0
0
0
0
16
0
0
0
0
0
0
0
0
4
8
0
0
0
0
0
0
0
0
16
22
0
0
26
0
8
0
0
0
0
0
0
24
24
24
24
8
8
0
0
24
24
24
0
16
16
8
8
0
0
0
16
0
0
2
8
16
0
0
8
20
8
0
0
8
0
0
16
0
0
0
20
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
8
0
20
2
0
0
0
0
0
24
8
0
16
16
16
8
2
0
24
24
0
8
16
2
0
0
0
16
16
8
0
8
32
16
16
0
16
0
0
0
32
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
16
16
0
0
0
8
8
8
2
0
0
8
8
0
1
0
8
8
8
12
22
1
0
0
8
8
8
0
0
0
16
0
0
0
16
4
4
0
0
0
0
16
0
0
0
0
0
0
28
0
0
4
3
4
3
3
0
0
0
16
0
0
16
0
0
0
0
0
0
12
8
8
0
0
0
8
0
8
8
12
12
1
0
0
0
8
0
0
0
0
0
2
8
0
16
20
16
24
8
8
12
0
0
32
0
0
0
0
8
8
8
0
0
0
16
0
2
0
16
0
8
8
8
8
0
0
0
16
16
8
8
0
0
16
0
0
4
4
0
0
0
0
25
0
0
0
0
8
8
8
2
0
0
8
8
0
0
2
0
24
0
0
0
0
0
0
0
0
4
24
0
0
0
16
0
0
0
0
8
0
0
8
0
0
0
0
0
0
0
4
32
0
0
8
8
8
0
0
0
0
0
0
0
0
4
4
0
0
0
0
16
0
0
0
0
8
8
8
1
0
28
28
4
0
0
0
0
2
0
0
0
0
0
0
6
0
16
0
0
0
0
0
0
0
0
0
0
16
8
0
0
0
32
16
0
0
0
0
18
8
0
8
4
0
4
4
4
8
0
0
0
0
48
0
2
0
8
8
1
8
8
0
0
8
0
4
0
8
8
8
8
32
0
0
0
0
0
0
0
8
8
0
8
8
8
0
0
0
0
0
2
16
16
32
0
9
0
8
16
16
16
16
0
0
3
0
0
8
32
0
0
0
0
8
8
8
8
8
2
8
4
0
0
0
18
0
8
8
8
0
2
8
8
0
0
0
0
0
8
8
0
0
0
0
0
16
16
8
0
0
16
8
8
8
32
16
0
0
0
24
0
0
12
12
0
0
8
0
0
0
8
0
0
4
0
0
0
0
8
48
0
20
0
24
8
8
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
8
0
18
18
20
20
1
1
0
0
0
0
0
0
6
4
40
0
0
0
0
8
8
0
0
4
4
4
1
8
8
0
8
0
8
8
8
8
16
0
0
0
8
0
0
0
0
0
0
0
0
20
2
0
0
0
0
0
0
0
0
0
0
8
0
0
30
0
8
0
0
0
0
8
2
2
0
4
4
4
18
18
0
2
2
0
21
0
0
8
0
0
0
0
0
0
0
0
4
4
0
0
0
8
0
0
0
0
8
8
0
2
0
8
0
16
8
8
8
4
4
4
0
0
8
0
0
0
0
0
8
0
8
12
12
1
0
0
0
0
0
0
16
13
13
8
16
8
8
20
10
10
24
0
0
0
8
0
0
8
16
16
0
20
20
20
20
17
8
4
0
0
16
24
0
0
0
0
0
4
0
8
0
24
8
0
0
4
12
0
8
1
0
0
0
8
16
0
0
0
0
0
0
18
18
18
8
0
1
0
2
0
0
0
0
0
0
0
0
0
16
0
16
0
0
0
0
0
0
16
16
0
8
4
0
0
0
28
28
7
8
0
16
16
16
1
0
0
4
8
8
0
0
17
0
0
9
0
16
16
24
8
0
0
0
0
0
18
8
0
2
0
1
1
16
16
16
0
0
0
0
0
22
0
16
0
4
8
0
0
0
0
16
0
0
8
0
0
0
0
0
0
8
0
0
0
0
1
17
16
16
0
0
0
0
24
0
0
0
8
8
8
0
0
0
0
16
16
16
0
0
0
0
0
0
0
0
0
16
0
0
0
6
0
0
8
8
0
8
8
8
8
3
2
0
40
0
0
0
8
8
0
32
0
0
8
2
0
8
8
8
0
8
2
1
0
0
0
0
8
0
0
1
1
8
25
24
24
24
0
0
0
0
0
0
0
0
8
0
2
0
0
18
0
16
0
0
8
0
0
0
0
0
8
16
17
17
0
16
16
8
8
8
16
0
0
0
8
0
0
0
0
0
0
0
0
16
16
32
2
8
0
0
0
0
0
0
20
0
16
0
4
8
8
8
8
8
0
0
0
2
8
8
0
0
2
16
16
8
0
0
2
0
0
0
0
0
0
0
0
12
0
0
0
1
0
0
1
1
0
0
8
0
0
4
4
4
16
0
8
0
0
32
0
2
0
0
0
32
0
0
0
0
18
18
0
1
8
24
8
8
24
8
0
0
4
0
0
0
8
0
0
0
24
4
8
0
0
0
0
2
2
16
20
0
57
0
0
8
8
16
0
8
0
0
28
0
8
8
8
4
4
4
4
0
0
16
0
16
8
0
4
8
0
8
8
8
16
0
0
0
0
0
20
20
0
0
0
16
16
1
0
0
0
0
4
4
16
8
8
16
0
0
0
1
8
0
0
0
0
18
17
17
0
0
0
0
0
8
8
8
8
0
0
0
0
4
0
4
4
0
0
0
0
0
0
8
0
0
0
0
0
0
32
0
0
16
16
0
0
0
0
4
0
0
1
0
16
16
24
16
0
0
0
0
4
1
4
8
0
58
0
16
0
1
24
0
0
0
0
0
4
0
0
3
3
16
0
0
0
0
8
8
8
8
8
8
16
0
8
0
0
0
0
0
0
0
0
16
16
0
0
1
8
1
0
10
0
0
0
0
22
28
4
4
4
16
36
36
36
36
36
36
36
0
0
0
0
0
0
0
0
0
16
16
16
16
0
0
0
0
0
0
1
12
24
24
16
8
0
0
0
0
8
0
0
24
24
24
0
0
1
0
0
0
0
0
16
1
8
16
0
0
0
0
16
8
8
0
14
14
0
0
8
8
0
0
0
0
8
0
0
13
6
0
2
4
1
26
20
20
0
4
4
8
8
0
0
0
8
2
8
12
0
24
17
20
0
0
0
1
0
0
8
2
16
16
16
0
16
8
8
0
0
0
0
0
0
0
8
8
10
0
0
0
0
0
0
0
0
8
4
0
0
8
0
0
0
0
0
0
2
8
8
8
2
8
8
8
8
0
0
0
8
1
1
0
0
0
6
6
8
16
0
0
0
0
0
0
0
0
0
0
0
4
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
16
0
0
24
0
0
0
8
8
8
8
8
8
0
0
1
0
24
0
16
0
0
0
32
32
0
0
8
0
0
32
32
8
0
0
16
0
0
0
8
0
0
0
0
16
16
4
0
0
0
0
16
0
0
8
0
4
0
16
2
8
4
0
16
8
0
0
1
0
0
28
0
8
0
0
0
0
1
1
8
8
8
4
16
8
0
0
0
0
0
0
16
0
8
0
17
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
8
0
8
0
0
8
0
0
0
0
8
0
0
0
4
0
0
0
8
0
0
0
1
1
0
0
0
16
0
0
8
0
0
0
0
0
2
0
17
17
16
0
24
0
0
0
0
0
0
0
0
0
0
25
0
0
8
0
0
4
4
4
4
8
0
16
28
28
28
28
28
28
28
16
0
0
18
0
0
8
0
8
24
0
0
1
1
0
0
16
16
0
0
8
49
0
0
0
0
20
24
24
0
24
2
0
0
0
0
10
0
0
0
0
0
0
0
32
0
0
15
15
0
2
2
0
0
0
0
0
8
16
16
0
12
1
1
0
0
25
16
0
0
24
0
0
0
1
1
0
0
0
0
1
0
0
0
16
0
0
8
0
0
8
4
8
0
2
0
8
0
0
0
1
0
12
0
0
0
8
0
0
0
0
0
16
16
8
8
8
1
8
0
4
4
0
25
25
8
8
8
4
0
8
8
0
16
1
1
0
0
16
0
0
0
0
0
0
0
0
8
0
0
0
0
8
8
8
1
16
2
4
0
0
0
0
1
0
1
1
0
0
0
0
0
0
24
8
0
4
0
0
0
8
0
8
1
0
0
0
0
0
0
0
0
16
0
16
16
16
16
0
0
0
8
0
0
0
48
48
16
0
0
0
8
8
0
0
0
0
8
0
0
0
0
0
8
0
0
0
0
4
8
8
2
0
0
0
0
0
0
0
0
8
0
0
0
8
0
16
0
4
32
2
8
0
0
36
8
8
16
8
0
0
1
0
0
0
0
8
16
0
0
0
8
0
16
8
3
8
32
8
8
8
16
0
0
0
0
0
16
16
0
0
0
0
0
16
0
8
0
0
0
0
0
8
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
8
0
0
16
8
8
8
0
0
0
0
0
8
0
8
0
0
0
0
5
0
0
0
8
0
0
0
0
0
8
20
0
0
0
16
0
0
0
1
0
0
0
0
0
0
13
13
0
0
4
15
25
0
0
0
0
0
0
0
0
8
0
0
16
16
16
32
1
0
0
0
16
0
0
0
17
0
0
8
0
0
0
0
0
0
0
16
16
0
2
0
20
0
0
8
16
8
8
8
8
8
8
0
0
0
2
2
0
4
24
0
0
0
20
20
8
8
0
0
0
16
24
0
0
8
0
0
0
8
0
0
0
0
0
0
13
8
20
20
8
8
8
0
0
24
0
0
0
0
4
4
0
8
8
8
0
0
0
0
0
0
0
16
16
1
0
0
0
2
0
0
24
24
0
0
0
0
0
16
16
5
0
0
8
8
8
0
24
0
0
0
0
16
1
0
8
0
0
0
2
16
0
0
0
0
0
0
0
8
24
32
0
0
0
0
0
0
0
0
0
0
8
8
16
16
1
1
1
8
8
8
8
0
0
8
0
0
0
0
0
0
0
0
10
10
10
8
1
1
2
2
0
0
0
8
0
16
12
12
4
8
20
8
8
0
16
20
8
16
4
16
16
0
0
0
0
0
0
0
0
0
16
4
0
0
0
0
0
0
8
16
0
0
0
0
0
8
0
0
0
0
16
16
0
0
0
0
0
0
0
16
0
0
12
8
2
2
0
0
8
3
1
1
0
8
0
0
0
0
0
16
0
4
2
16
16
0
0
18
16
0
0
20
0
24
24
16
8
0
16
8
8
8
0
0
0
2
0
0
0
0
0
2
0
4
4
8
0
0
0
16
0
52
0
8
16
0
0
0
0
0
0
0
0
16
18
12
12
12
16
16
8
8
0
0
0
19
8
2
8
16
16
8
2
32
8
8
8
8
0
0
0
8
0
8
0
16
0
0
1
0
0
8
0
0
8
8
16
0
10
8
0
8
8
0
0
0
0
0
0
0
0
8
0
0
0
0
0
8
0
0
2
2
0
0
8
8
0
16
18
16
0
0
0
0
20
0
0
0
2
0
0
0
8
8
8
8
2
29
8
8
8
8
0
0
8
8
12
0
0
0
1
0
0
0
0
0
0
0
0
0
4
4
4
8
0
0
12
4
16
0
12
12
0
32
32
32
8
0
0
8
0
0
0
0
6
16
0
4
4
4
9
0
0
0
2
0
0
0
0
0
8
16
16
0
16
0
0
0
0
0
0
8
0
0
8
0
0
0
2
0
4
0
10
0
0
0
16
8
0
0
0
28
0
0
0
8
0
0
0
0
16
16
2
0
8
8
0
0
0
0
0
8
8
0
0
0
0
0
0
4
4
0
1
1
1
1
0
8
8
0
4
4
4
4
4
8
0
8
0
0
0
24
8
1
0
0
0
4
0
0
0
0
8
0
0
2
8
0
8
0
0
12
0
0
17
16
16
0
8
8
8
0
0
0
2
8
0
16
8
0
0
2
0
0
16
0
0
2
0
0
0
12
16
16
8
0
16
0
0
0
0
1
0
8
0
0
0
2
2
0
0
0
0
0
0
0
0
4
0
0
8
16
8
0
0
0
0
8
0
0
0
0
0
16
0
0
9
8
4
8
0
0
0
0
4
16
0
0
0
2
0
0
0
16
16
16
17
0
0
0
8
8
0
0
10
0
0
0
1
1
0
0
4
8
1
0
0
1
0
0
8
8
8
0
0
0
16
0
0
16
16
0
0
1
0
0
0
8
8
0
0
16
16
0
0
0
1
0
0
1
1
1
0
0
0
0
6
6
6
6
0
0
16
8
16
0
0
0
0
0
0
0
32
0
0
8
0
8
18
18
0
0
16
24
0
0
0
0
0
24
24
0
0
8
8
8
8
8
1
0
16
16
0
0
0
8
0
0
1
1
0
2
20
0
0
28
8
8
8
0
0
0
8
0
0
0
0
0
8
8
0
8
0
8
0
8
1
1
1
1
1
8
8
16
25
0
0
0
24
0
0
0
4
12
0
8
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
22
0
3
3
0
0
0
0
0
8
20
20
20
0
8
2
2
2
16
0
1
8
1
16
16
16
16
16
16
16
16
16
0
0
0
0
16
0
16
16
8
0
0
0
0
4
4
0
56
0
0
0
8
0
2
0
0
0
24
0
8
16
16
0
2
2
1
0
29
0
8
1
21
0
0
0
0
16
16
16
16
16
0
0
0
0
8
0
0
0
0
8
8
0
0
0
0
0
0
0
0
8
8
8
0
17
0
0
0
0
0
0
0
8
0
9
0
0
16
16
0
0
12
12
0
0
0
0
16
16
8
0
0
8
16
16
20
16
0
0
0
8
24
4
0
18
0
0
2
0
16
0
0
0
0
16
0
0
0
0
0
0
0
20
20
0
0
0
16
0
0
0
8
0
0
0
0
0
16
0
0
10
10
10
10
0
24
0
8
0
0
0
0
0
0
0
16
2
0
0
0
2
0
0
0
0
0
20
4
8
1
1
0
4
0
0
0
0
0
8
0
8
8
8
0
11
0
16
8
24
0
4
0
0
0
0
0
0
1
4
0
8
0
16
10
28
0
0
4
0
16
0
0
0
8
0
2
1
1
0
12
12
12
0
8
0
0
0
0
8
20
0
16
0
0
1
16
24
0
16
42
8
16
0
0
4
0
0
0
0
0
0
0
16
16
0
8
0
0
0
8
16
16
4
0
0
0
0
0
0
0
4
8
0
0
34
0
0
28
0
0
28
0
0
5
0
0
0
18
16
32
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
24
0
0
0
0
16
16
0
4
0
0
16
16
16
16
16
8
0
0
4
0
0
8
24
8
8
16
16
2
8
2
4
4
4
4
0
0
0
0
4
0
0
0
0
0
2
16
0
0
0
0
0
0
0
0
8
8
0
2
2
0
0
0
0
8
8
0
0
8
0
0
0
0
0
8
8
0
0
0
0
0
8
0
32
32
0
8
8
0
0
0
0
0
0
0
8
0
0
30
2
0
4
18
0
0
0
16
16
0
0
0
4
8
0
4
0
40
8
8
0
0
0
12
0
16
16
1
0
0
8
8
8
8
8
8
0
8
0
0
0
0
8
57
57
49
2
0
0
4
0
0
16
16
0
17
1
0
8
4
0
0
0
2
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
8
0
0
0
0
0
0
0
8
8
5
16
16
8
18
8
8
4
0
8
0
0
0
0
0
0
0
17
0
0
8
32
8
0
0
24
0
0
16
16
4
0
0
0
0
12
16
16
16
0
4
0
3
16
0
2
0
0
1
8
0
16
16
16
0
0
8
0
8
0
0
0
0
0
1
1
0
0
16
16
16
16
16
0
0
8
16
2
2
8
4
0
0
0
0
8
0
16
0
2
8
8
8
0
1
0
8
0
0
8
24
16
8
19
0
0
0
0
16
16
16
16
0
0
0
0
0
0
16
0
0
0
0
8
8
0
0
16
16
2
0
0
0
0
0
8
8
0
0
0
4
4
4
0
0
0
8
8
0
8
16
0
4
0
0
8
8
0
0
0
0
0
0
0
33
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
8
8
8
8
40
14
0
0
0
0
2
2
0
8
16
20
0
0
0
0
0
8
12
2
0
32
32
8
4
0
0
2
0
32
0
0
16
0
0
0
0
16
0
0
0
8
0
0
0
0
8
0
2
2
2
2
2
0
32
8
16
0
0
0
16
16
5
0
0
4
4
4
4
4
0
0
0
0
0
0
1
1
0
0
0
0
32
8
8
8
8
0
0
0
8
0
0
1
0
0
0
0
0
0
0
0
0
0
8
0
1
1
0
0
1
7
8
0
2
1
0
0
0
0
16
16
16
0
16
0
0
0
8
0
0
0
4
16
8
0
16
16
8
0
0
0
1
16
16
2
2
2
0
0
0
0
0
0
8
16
4
17
17
8
8
25
25
25
25
25
0
0
4
4
0
0
0
0
0
0
1
8
8
8
8
8
50
12
8
0
16
8
8
8
8
0
8
0
8
16
16
16
0
0
0
0
0
0
0
0
8
8
8
8
8
0
0
0
0
0
0
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
4
0
0
0
16
16
16
18
0
0
0
0
0
0
0
0
0
8
20
0
8
8
2
0
8
16
8
16
16
16
16
16
16
16
18
0
16
16
1
1
1
16
1
1
1
8
8
0
0
32
32
32
0
16
0
8
8
8
8
8
8
8
0
0
4
0
0
0
0
0
0
2
2
8
8
8
1
8
8
16
0
24
24
32
0
0
17
0
0
0
0
0
32
4
4
4
16
16
8
0
0
8
8
8
0
0
0
4
4
4
4
0
0
0
0
0
16
0
2
16
16
0
0
8
20
0
8
8
0
0
0
8
8
8
2
0
20
20
20
20
20
0
4
4
9
9
0
0
2
2
2
16
0
0
9
9
16
16
0
0
8
8
16
16
16
4
4
4
16
16
8
8
0
24
4
1
1
1
1
0
0
0
16
16
16
0
16
16
16
16
16
0
4
0
4
4
4
4
0
4
8
0
0
0
0
1
1
1
8
8
0
16
0
6
0
9
8
0
0
0
0
0
0
4
16
16
0
1
0
16
16
8
8
8
0
16
0
0
8
0
0
2
0
16
26
16
16
1
0
0
0
0
24
0
0
8
8
17
20
20
0
0
0
0
0
40
0
0
8
8
8
0
16
32
32
32
32
0
0
0
0
2
2
2
8
8
0
1
8
0
0
0
0
16
12
8
0
8
2
2
0
0
8
1
12
0
0
0
0
8
8
8
8
0
14
0
0
16
0
0
16
16
16
16
16
0
0
0
0
0
16
0
0
0
0
0
0
56
32
12
16
16
1
1
16
16
16
16
0
0
0
16
16
24
32
32
16
0
0
0
8
0
4
0
20
0
0
8
16
0
0
0
16
16
16
0
0
0
1
1
0
16
0
1
16
8
8
0
0
16
8
8
48
24
24
8
0
0
16
8
4
4
0
0
10
8
8
0
0
0
0
16
16
16
8
32
32
8
8
0
0
16
16
8
16
0
8
0
0
8
2
8
0
0
0
12
12
16
0
16
0
0
0
0
8
0
0
0
1
1
0
16
16
16
0
18
32
16
16
16
1
1
0
0
0
16
0
0
0
8
0
0
0
0
8
16
16
0
0
16
0
0
0
16
0
0
0
8
8
8
8
16
16
16
8
8
8
0
0
5
16
8
0
0
8
8
0
0
0
0
4
16
0
0
16
2
2
2
8
16
24
16
0
0
0
12
0
16
12
0
0
0
9
16
32
8
8
0
0
0
0
24
0
0
0
0
0
8
8
1
0
0
8
8
10
0
16
0
0
0
4
4
0
16
16
4
0
8
4
3
8
0
0
0
0
0
0
4
8
16
4
0
0
0
0
0
0
1
1
8
8
4
0
0
0
16
1
4
0
16
16
4
0
0
0
13
13
0
0
0
0
0
4
0
16
0
36
0
8
0
0
0
0
8
0
8
0
0
0
0
0
0
0
8
16
8
8
16
0
0
0
0
4
4
4
4
4
18
18
0
0
0
0
24
16
16
9
9
9
9
0
0
0
8
0
24
0
0
0
0
0
0
0
0
0
0
16
16
24
8
0
0
16
16
0
2
0
3
0
16
32
32
32
2
2
0
0
0
16
9
8
8
8
8
16
16
16
1
8
16
8
0
16
16
32
16
16
4
0
8
8
4
0
4
2
0
16
0
0
0
8
0
0
0
0
0
16
16
16
16
0
8
2
8
8
16
16
0
0
8
8
8
0
0
16
16
16
16
16
16
16
8
0
0
0
0
0
2
2
8
16
0
0
0
0
0
0
17
0
24
24
0
0
0
0
0
0
0
17
0
0
0
0
0
39
39
39
0
0
0
2
0
0
0
0
0
0
0
8
1
8
16
32
32
32
16
8
8
8
0
0
8
8
0
0
0
0
0
0
16
16
5
5
4
2
16
0
0
0
0
0
0
4
16
16
16
8
16
1
16
16
0
16
0
2
0
0
16
0
0
8
0
0
8
8
8
8
12
0
8
8
0
4
4
4
0
0
0
0
0
0
9
16
19
19
19
0
0
0
0
0
16
16
0
0
0
0
16
16
0
16
16
0
16
16
16
0
16
16
16
8
0
0
0
0
17
17
17
0
0
16
16
0
0
50
0
8
0
2
0
4
8
8
8
4
32
0
0
2
0
0
0
0
4
0
0
0
23
23
23
4
4
16
0
0
1
16
0
2
2
18
18
8
8
8
1
1
20
20
20
20
8
16
2
2
2
2
0
0
0
24
8
0
2
0
0
0
0
0
17
0
0
12
20
20
20
32
16
16
16
8
16
0
8
16
16
8
16
16
16
16
16
8
8
8
0
0
0
0
16
0
24
8
17
24
24
8
0
8
8
0
8
8
2
8
8
1
1
1
0
0
0
0
0
0
0
0
0
0
0
8
18
18
0
4
1
1
0
16
16
4
16
16
8
8
8
0
0
0
0
0
16
0
2
8
0
0
8
0
8
0
0
16
8
8
8
1
1
1
2
16
16
8
1
4
4
4
4
8
8
16
0
0
8
0
8
0
0
4
8
8
8
2
0
9
4
8
4
8
32
32
8
8
0
15
0
2
28
8
8
8
8
8
0
0
0
1
0
0
0
0
1
0
4
16
0
0
8
24
8
0
8
2
0
0
4
24
16
24
8
0
0
0
0
0
0
0
0
0
8
4
20
4
4
16
0
0
0
0
8
8
13
0
8
1
1
8
8
0
0
0
0
2
24
8
8
0
24
0
0
16
8
8
4
0
1
1
16
0
8
49
1
1
0
0
16
0
16
8
26
16
8
8
2
4
8
8
8
8
0
0
20
20
0
16
16
0
8
8
8
0
24
0
0
8
0
16
0
0
20
20
20
0
0
0
16
0
8
0
0
0
0
0
0
0
16
16
16
0
0
0
0
24
24
0
0
0
17
1
24
16
1
1
1
16
16
16
16
0
0
0
0
0
0
0
32
16
1
0
0
0
0
17
17
4
8
24
24
24
8
8
8
2
58
8
0
0
0
16
16
16
0
0
16
0
8
16
0
0
8
16
8
0
1
4
0
0
20
0
0
0
4
8
0
0
0
0
1
16
0
0
16
16
16
9
16
16
0
8
16
8
16
8
0
0
0
0
0
4
4
4
1
0
4
4
4
0
0
0
0
4
4
4
16
16
16
32
0
4
0
1
8
8
0
4
4
8
8
8
8
8
0
20
20
12
0
17
17
8
8
16
16
16
16
0
0
0
0
0
0
0
8
8
17
4
4
0
4
12
4
1
0
0
18
0
0
0
0
8
0
2
2
2
2
2
2
2
16
0
0
0
0
8
8
8
8
16
16
8
17
17
0
0
2
2
8
0
0
8
8
8
8
8
1
8
0
0
0
16
16
16
16
0
0
0
0
0
16
1
1
8
8
8
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
16
8
8
0
0
0
1
1
0
4
4
53
53
4
16
8
18
0
0
16
8
4
16
4
0
0
17
17
0
16
16
16
8
8
16
16
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
33
24
24
24
8
0
0
16
16
16
16
0
32
0
16
44
8
8
16
16
0
0
0
0
0
0
0
0
24
0
0
8
0
8
8
0
17
0
17
17
16
16
1
0
4
4
4
4
0
4
0
0
2
2
16
0
0
0
0
4
4
8
16
16
0
16
16
16
16
24
24
16
4
0
8
8
24
16
0
16
16
0
0
0
16
16
16
40
40
8
8
8
0
0
1
0
0
4
4
16
16
16
0
0
0
0
0
0
0
16
0
0
0
0
0
0
8
0
0
8
8
2
32
0
0
20
16
8
16
16
16
0
0
0
8
8
8
0
0
6
0
0
0
0
0
0
8
16
1
0
8
0
8
16
16
16
8
0
0
4
2
2
16
16
16
8
8
8
8
0
0
0
0
0
1
1
2
2
2
16
19
19
33
33
0
16
16
16
16
0
0
16
0
16
1
16
2
2
0
0
18
0
4
0
1
0
0
0
1
1
0
0
8
8
8
8
0
8
8
1
1
8
8
0
0
0
0
16
8
8
0
0
0
0
0
0
0
16
16
1
8
8
8
8
8
0
5
0
0
0
8
8
20
20
0
0
24
38
8
1
16
0
0
16
0
24
24
16
0
4
0
0
8
0
2
2
2
2
2
16
0
0
0
0
0
0
16
0
1
16
8
8
18
17
17
17
4
0
0
0
0
0
0
0
0
0
0
0
8
16
8
8
16
16
8
8
16
0
0
0
8
0
0
0
1
0
0
2
4
8
16
16
16
16
8
16
0
56
56
56
56
0
0
0
0
0
0
0
0
4
8
8
20
1
0
0
0
8
1
1
16
16
16
0
0
0
0
24
2
16
16
16
16
44
8
8
0
8
4
4
4
16
16
16
16
16
16
4
4
0
0
8
0
0
0
8
8
0
16
17
0
0
0
48
8
8
8
0
0
2
0
0
4
4
0
0
8
20
0
16
8
0
0
4
4
32
4
8
0
16
16
8
8
8
0
9
0
0
16
16
16
24
24
24
8
8
8
2
1
8
8
8
8
8
2
0
0
0
4
4
0
0
0
8
1
1
1
0
32
32
8
8
0
33
0
0
8
0
0
32
32
32
16
16
16
4
4
0
8
0
4
4
0
0
8
8
0
0
0
0
0
8
8
0
0
4
4
8
8
8
16
0
0
16
0
0
0
0
0
0
16
16
16
16
16
0
16
16
8
20
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
8
8
0
8
0
0
0
16
0
0
8
0
0
0
8
0
0
4
4
12
0
0
0
0
40
8
0
0
0
16
0
0
8
0
32
0
4
4
0
0
16
16
16
24
1
1
1
16
16
0
16
8
4
0
0
0
0
0
16
0
0
0
0
1
8
24
16
16
17
16
16
16
8
8
8
8
8
32
0
2
1
24
24
24
0
0
0
24
0
16
0
0
0
0
16
16
3
8
8
0
0
0
4
2
0
8
8
0
16
0
0
16
0
0
0
16
17
17
8
0
4
4
1
0
0
1
1
0
0
0
0
4
4
8
8
8
8
1
10
0
0
4
8
0
16
16
8
8
16
16
0
0
0
12
12
12
8
2
2
2
0
0
0
0
0
6
0
32
0
16
0
16
16
8
0
16
0
16
29
0
4
4
4
0
0
8
1
0
0
16
16
32
32
32
32
12
4
4
16
16
16
0
16
16
0
0
8
20
20
0
0
0
9
0
24
24
18
0
8
8
8
8
8
0
0
8
8
9
9
0
0
0
0
0
0
0
0
0
0
0
0
8
1
0
0
32
32
32
32
16
0
1
1
1
1
1
1
9
1
0
0
20
0
2
0
0
8
8
8
8
4
8
8
0
0
0
8
8
8
16
0
0
4
0
0
0
4
4
0
0
0
8
16
4
52
52
52
52
0
0
8
16
0
0
0
0
0
0
2
2
2
4
16
8
16
8
0
1
1
5
36
36
0
16
16
4
4
0
16
0
8
0
0
16
16
0
4
0
24
8
0
0
4
16
0
2
0
16
0
16
18
18
18
8
16
16
0
8
8
0
0
16
0
0
8
8
0
8
0
8
8
8
8
8
2
0
8
8
8
5
16
1
0
0
8
16
0
0
0
0
24
8
4
4
16
0
0
2
35
20
20
24
4
4
2
0
0
0
0
1
1
16
16
16
16
0
4
0
4
24
0
0
0
0
9
9
16
16
16
16
16
16
0
0
0
0
2
2
0
0
0
16
0
8
0
16
0
0
4
16
16
8
1
1
8
8
8
0
8
16
0
0
0
0
8
32
32
0
8
0
0
56
16
28
16
0
2
0
0
8
8
0
13
0
0
0
2
2
2
8
0
0
8
0
8
8
8
0
4
4
0
0
0
0
0
8
8
48
1
1
1
0
0
0
16
0
0
16
48
48
8
8
16
0
8
0
0
4
8
8
2
2
2
2
8
8
8
1
0
18
8
8
0
16
16
16
8
8
0
16
0
0
0
0
0
5
0
8
0
8
8
8
0
0
0
24
24
16
0
8
8
8
8
0
0
0
0
0
0
0
0
1
0
8
8
8
16
1
8
8
16
16
16
16
16
0
0
8
24
16
16
8
8
8
8
8
8
16
16
32
16
0
0
12
12
0
16
16
0
8
4
8
4
4
4
4
4
0
0
8
16
8
0
0
0
0
2
0
4
4
4
25
32
0
0
0
0
0
0
0
0
0
0
24
16
0
0
0
1
2
1
0
0
4
16
0
1
1
1
8
16
0
0
0
0
6
6
8
0
0
2
2
8
8
0
0
8
2
0
4
0
0
2
2
2
2
2
8
0
8
0
8
8
2
2
5
16
16
8
9
0
16
0
0
0
4
4
0
8
2
8
0
0
0
0
8
0
16
0
0
2
32
32
8
8
8
0
8
0
0
0
0
16
0
0
0
0
4
4
0
8
16
1
1
1
1
1
8
8
8
0
0
2
2
2
2
4
16
0
8
8
8
24
24
0
2
8
8
32
32
16
0
0
0
0
0
0
0
8
8
2
1
1
1
32
8
16
16
4
0
0
0
0
0
0
16
16
16
2
2
0
0
0
0
0
0
1
8
8
8
0
0
0
16
16
18
18
18
18
8
8
16
8
4
8
16
2
8
32
4
8
0
0
4
1
0
0
0
24
0
16
0
0
0
0
16
0
0
12
12
12
8
0
0
0
0
8
0
0
0
0
8
0
0
0
0
8
16
16
0
0
9
8
0
0
2
0
0
0
0
4
4
0
0
0
0
16
16
16
8
10
0
0
0
4
18
18
2
0
0
16
0
32
18
0
4
0
0
0
0
0
0
40
0
0
32
0
1
1
1
0
0
0
16
16
16
5
5
0
0
0
0
0
0
0
0
16
0
16
0
16
16
16
0
0
0
19
0
0
0
0
0
0
4
0
0
0
8
16
16
0
0
8
8
1
5
0
16
32
8
0
4
0
0
8
0
4
4
4
0
16
0
0
32
32
32
32
8
0
8
0
28
4
16
16
4
4
0
0
0
0
0
0
8
8
8
36
12
4
10
8
8
8
8
4
4
5
0
0
24
24
16
16
16
16
16
0
0
0
2
2
2
2
0
1
0
0
16
16
16
16
16
2
2
4
4
16
16
16
16
8
8
8
8
8
0
33
0
16
16
0
4
4
16
48
8
8
8
8
0
4
2
34
18
16
4
4
16
8
0
0
16
16
0
17
17
8
8
0
4
4
4
4
4
4
4
0
8
0
0
16
0
0
0
0
0
18
40
1
8
0
0
0
16
17
0
4
4
4
16
16
8
8
8
0
4
0
4
1
1
1
0
0
0
0
8
8
0
4
4
4
4
4
4
4
16
16
16
8
8
8
16
16
32
16
0
0
0
0
0
2
2
0
16
9
9
0
0
0
0
16
0
0
8
16
16
16
16
0
0
0
0
0
2
2
2
2
16
20
4
8
8
8
8
8
8
0
0
0
0
32
0
0
2
0
16
8
8
8
8
2
16
8
8
0
0
0
8
0
0
0
0
8
2
2
0
2
8
0
8
8
8
32
32
17
0
0
0
28
28
0
8
8
0
0
8
8
8
8
0
0
8
8
8
4
4
16
8
4
4
4
0
4
0
8
16
16
16
8
0
0
0
0
0
0
2
8
16
8
8
0
0
16
0
0
0
0
0
0
0
0
8
0
8
8
4
16
0
0
18
18
16
0
2
0
16
16
4
0
0
8
0
16
16
0
16
0
0
0
0
0
0
0
0
16
0
2
2
2
24
24
24
0
0
0
0
0
8
35
0
0
0
0
0
0
0
0
1
4
16
16
0
0
8
0
0
0
0
0
0
0
0
4
0
16
16
16
0
0
6
0
0
4
16
16
16
16
12
4
0
16
0
0
0
0
0
0
0
0
0
0
0
16
16
16
0
0
16
16
16
0
0
0
1
0
4
4
4
16
16
16
16
0
8
0
0
0
0
32
32
32
32
0
0
16
1
1
1
8
16
16
0
0
0
0
0
0
0
0
8
2
16
0
4
4
0
2
2
2
8
0
24
0
0
0
0
0
16
8
8
8
0
0
0
2
0
4
8
8
0
0
0
8
16
16
17
0
0
18
18
0
0
0
0
8
8
1
16
8
8
0
1
12
12
12
18
1
0
1
1
1
32
32
32
32
32
0
16
17
0
0
0
0
0
0
0
0
0
4
2
0
2
0
4
8
8
8
8
16
16
16
1
1
1
0
0
0
0
0
0
0
0
0
0
2
2
8
16
16
16
0
0
1
1
8
0
0
24
0
1
1
1
16
16
16
16
16
16
16
16
8
40
8
8
0
0
0
0
0
0
0
0
0
0
0
8
0
16
16
0
8
8
1
0
0
0
2
2
2
2
0
0
0
0
0
0
0
1
0
1
0
8
8
8
2
16
16
8
8
0
2
8
0
16
0
0
0
0
0
32
1
0
1
0
0
0
0
0
0
0
0
16
16
16
16
16
16
0
0
0
8
8
2
0
0
0
8
8
24
24
16
0
16
16
8
16
16
0
0
0
16
8
8
16
16
2
2
2
8
16
16
8
0
8
16
0
0
8
32
0
0
0
0
1
0
8
0
0
20
0
16
2
0
8
0
0
8
8
0
0
19
19
28
16
0
8
2
8
8
8
8
8
8
8
20
0
24
8
0
0
0
0
0
8
0
24
16
0
12
0
0
0
8
0
0
16
8
8
16
0
16
0
8
16
0
0
0
0
8
0
0
28
0
2
2
0
8
20
16
0
0
8
0
16
0
8
0
4
4
0
8
28
0
0
0
0
0
16
16
16
8
8
16
16
0
0
0
8
8
0
0
4
8
0
0
0
0
0
8
0
0
0
2
8
0
16
0
8
0
0
0
0
0
0
2
1
0
0
0
20
9
0
8
4
0
8
16
16
8
8
1
16
16
16
16
16
16
16
8
8
18
0
8
8
0
16
0
0
0
16
8
0
8
0
16
16
8
0
0
0
16
18
0
0
0
16
0
0
0
8
8
8
0
20
20
0
0
0
0
0
0
8
8
16
0
16
16
16
16
16
16
16
2
3
0
0
0
32
0
28
0
8
8
4
16
16
16
16
16
16
16
16
16
1
0
4
4
8
25
25
8
0
4
4
16
0
0
1
0
0
16
0
0
8
8
0
0
12
12
26
26
26
0
0
4
0
12
24
16
0
0
0
0
0
0
4
0
0
32
32
32
32
4
0
0
8
8
8
0
4
0
8
8
8
16
0
8
8
8
0
0
4
4
4
48
8
1
0
4
0
0
0
0
16
16
16
16
1
1
32
0
24
24
24
8
8
8
0
16
0
0
0
32
32
0
0
0
16
0
8
8
8
8
0
0
0
16
8
0
8
0
32
0
0
0
0
16
4
4
4
4
8
17
4
0
0
16
16
16
0
8
0
0
20
20
20
20
20
0
8
8
0
0
0
0
0
0
0
0
16
4
0
0
8
0
12
12
0
8
16
32
0
0
0
0
0
2
0
0
0
16
0
0
0
2
8
0
0
0
0
56
56
56
8
2
2
32
20
20
4
4
4
3
3
12
12
0
0
0
8
8
16
0
0
0
0
30
30
8
0
8
0
0
0
0
0
1
0
0
0
0
0
0
0
8
16
16
1
16
24
8
0
0
25
24
8
8
16
0
0
0
0
0
0
0
0
0
0
16
18
0
0
0
0
0
16
0
1
0
0
1
1
8
16
8
0
0
16
16
2
0
0
0
16
16
8
8
8
8
8
8
0
8
0
0
16
8
8
8
0
16
16
0
4
16
16
0
0
18
18
18
18
0
16
0
8
0
0
0
8
8
8
8
8
1
0
0
0
0
0
0
0
1
1
16
16
10
16
0
1
8
24
0
2
0
0
0
0
0
16
1
1
1
1
32
0
0
0
0
0
0
1
1
1
1
0
0
0
0
0
0
0
0
8
0
0
16
16
16
0
0
0
0
0
8
16
0
0
0
1
16
1
0
0
32
12
10
16
8
16
8
8
0
0
8
32
4
16
0
0
2
2
8
0
16
16
8
8
0
28
28
0
8
0
0
16
16
16
0
0
0
2
1
0
0
0
0
16
16
8
8
8
0
16
4
4
0
0
30
16
16
0
1
1
1
0
0
0
0
0
0
2
2
16
18
10
32
32
1
24
24
0
0
0
32
8
0
8
8
0
0
0
0
8
8
0
0
0
8
8
0
0
0
8
1
4
4
8
38
38
38
38
38
6
6
6
34
16
2
4
0
4
8
8
48
4
4
2
2
1
0
16
0
0
16
4
4
0
0
0
16
16
8
8
8
8
0
8
8
8
8
0
0
8
8
8
8
0
1
1
4
4
4
8
0
0
0
0
0
4
8
32
8
8
0
8
0
0
0
2
2
0
0
4
16
16
1
1
8
8
8
0
0
0
0
0
0
0
4
4
0
0
2
2
2
2
2
0
0
30
0
16
8
8
8
0
0
2
0
0
0
0
8
8
16
1
2
0
0
0
0
0
0
0
8
8
24
0
0
0
8
8
1
0
0
0
0
0
0
0
0
32
17
16
16
8
8
8
29
0
0
0
2
1
0
0
0
0
0
0
0
0
8
2
2
1
0
8
8
8
0
0
0
0
16
8
1
8
0
0
0
0
16
16
16
8
16
8
17
0
0
8
8
0
8
0
1
1
8
8
4
16
16
8
30
30
30
8
0
8
24
0
4
4
4
0
0
0
16
24
4
0
0
0
0
0
0
0
8
8
8
8
4
4
2
2
0
0
0
0
0
8
16
1
1
0
0
0
6
6
8
8
16
0
0
0
0
0
0
0
1
0
16
16
32
16
16
0
8
2
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
2
20
13
13
13
13
0
16
0
0
0
0
8
0
4
8
16
8
8
0
0
0
4
8
8
16
16
0
0
0
0
8
8
0
0
8
48
0
8
1
0
8
16
0
0
0
16
16
4
4
4
4
4
18
0
0
0
8
8
16
8
0
16
16
16
0
16
8
8
2
16
16
0
8
0
0
8
2
16
16
16
0
18
0
8
2
2
1
28
28
16
16
16
8
0
0
0
16
1
8
8
1
32
17
0
0
0
0
0
0
0
0
0
4
4
52
0
16
8
8
8
32
32
32
0
0
0
0
0
8
8
8
16
32
0
0
8
0
16
16
8
0
8
0
0
0
0
0
0
8
0
8
4
8
8
8
0
0
20
0
0
2
0
16
16
16
16
8
8
8
16
1
1
0
0
0
4
1
0
0
0
8
0
0
0
0
8
2
2
4
0
0
4
4
4
0
6
8
0
0
0
0
4
0
0
0
24
4
4
16
16
16
0
16
4
4
4
4
0
0
16
32
32
0
0
0
0
4
19
19
19
16
16
16
0
0
0
0
16
16
8
0
0
0
0
0
27
28
20
4
0
16
8
8
4
4
4
4
8
16
16
16
0
0
8
16
16
16
0
8
16
8
16
0
0
0
2
8
8
8
0
0
0
0
0
24
9
1
8
16
16
16
0
0
1
16
16
8
8
0
16
16
8
0
0
0
8
8
0
0
1
8
16
2
8
8
8
1
16
0
8
0
0
8
8
2
16
0
8
8
8
0
32
4
4
4
36
0
0
0
0
0
0
0
16
0
0
0
0
0
8
0
0
4
0
1
0
0
8
8
0
2
2
0
0
8
0
0
4
4
0
0
13
0
21
21
17
4
4
4
16
0
0
16
20
1
1
8
8
0
0
24
24
0
0
2
2
8
8
0
1
16
8
8
8
0
0
0
0
8
0
1
9
9
0
0
0
0
0
16
0
0
2
2
8
8
16
16
11
2
4
17
16
16
16
8
10
16
2
16
8
8
16
0
0
0
0
8
0
0
0
0
0
0
4
2
4
4
0
32
16
0
16
16
1
16
16
0
8
0
0
16
0
0
0
0
16
16
8
8
8
4
4
0
0
0
0
0
8
8
0
0
0
0
0
0
8
2
0
4
24
1
4
4
1
0
12
8
8
0
8
20
8
0
0
48
1
0
0
4
0
32
0
0
0
0
17
9
16
0
0
0
0
8
4
0
0
0
0
0
16
16
1
0
0
0
8
4
0
0
0
0
0
1
1
16
0
2
0
0
40
40
16
16
16
16
0
16
16
1
1
0
0
32
32
0
0
10
0
0
0
8
8
2
0
0
0
1
0
2
2
2
2
2
0
0
16
16
16
0
32
0
0
0
16
6
0
16
16
16
8
2
0
0
0
0
2
5
8
0
0
0
0
0
0
8
0
0
0
0
0
1
17
24
24
24
32
0
0
56
56
0
16
0
1
1
1
1
17
0
2
2
24
24
24
8
16
8
0
0
0
0
0
0
7
7
8
8
8
16
16
0
8
0
4
0
8
0
0
0
8
8
0
0
24
4
0
0
16
0
32
0
10
10
16
20
20
0
0
8
0
0
0
0
0
1
1
1
16
16
0
0
0
0
0
0
8
4
16
17
0
0
16
0
8
8
4
0
1
0
16
0
16
0
8
2
2
8
2
4
4
4
8
8
8
8
8
8
16
16
16
0
16
19
8
1
0
1
1
0
0
0
16
16
16
0
0
0
0
20
20
20
4
0
0
0
16
20
0
0
0
2
16
32
32
8
0
16
0
16
0
0
0
0
16
32
32
32
32
20
12
0
8
4
16
0
0
0
0
0
32
0
0
8
16
8
0
4
0
0
0
16
16
8
8
16
16
2
8
0
0
0
4
8
8
16
16
0
0
0
10
2
0
1
1
1
0
0
8
16
16
0
4
0
8
17
17
17
32
32
0
0
0
0
16
8
8
0
0
0
0
0
8
1
0
0
0
8
8
1
12
0
0
8
24
24
8
32
8
8
0
8
8
0
0
16
0
8
12
0
0
0
0
4
4
0
8
0
1
4
4
4
0
8
8
0
0
0
0
16
16
2
8
16
4
16
16
4
4
40
40
40
40
40
1
8
16
8
8
8
5
5
16
0
16
0
0
0
0
0
0
0
0
0
0
32
0
2
2
1
1
0
0
0
0
0
16
0
16
0
32
16
0
2
2
2
2
2
0
0
0
1
0
0
8
0
0
0
4
4
0
0
0
32
28
0
17
17
1
1
1
8
0
0
0
16
16
16
16
4
0
0
8
2
2
0
0
0
0
0
4
4
0
0
0
16
6
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
0
18
18
0
0
16
16
16
8
2
0
0
32
8
0
0
8
8
8
8
8
0
0
1
16
16
0
0
0
0
8
8
20
36
36
36
8
0
4
4
4
0
8
8
8
8
1
0
16
0
8
8
8
8
16
8
8
0
0
4
4
32
0
0
0
0
0
0
0
32
32
32
32
16
16
0
8
8
8
8
8
8
8
8
24
24
0
0
0
0
0
0
0
16
48
0
16
40
40
1
1
4
4
0
1
16
8
0
32
0
0
0
0
16
16
1
8
8
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
4
16
16
16
4
0
0
2
16
16
0
8
0
16
0
0
19
19
19
19
19
1
16
1
0
0
1
1
8
24
0
8
0
0
0
16
8
8
16
0
4
0
0
0
16
0
28
28
1
1
2
2
0
0
0
0
0
0
0
0
1
17
1
1
1
8
0
12
24
0
0
0
8
8
8
5
0
0
9
9
9
9
9
8
16
8
16
16
8
8
16
16
1
10
0
0
0
0
0
0
1
8
8
8
8
16
24
24
0
8
16
16
0
16
8
24
24
0
0
0
0
16
17
0
53
53
53
0
4
0
4
4
24
0
1
1
0
0
4
4
24
24
4
0
8
0
20
20
0
8
8
0
0
1
1
1
1
0
0
8
0
0
0
1
1
1
1
1
1
1
1
16
0
8
32
0
0
0
0
0
0
8
8
8
2
2
16
16
4
0
16
0
0
0
0
32
8
4
0
16
16
0
8
2
8
2
32
0
8
0
0
26
4
4
4
4
8
8
2
2
4
16
0
1
16
16
2
0
0
0
0
0
8
8
0
24
0
0
0
0
0
16
0
16
16
8
0
8
0
0
0
16
16
16
16
0
0
0
0
0
0
16
0
0
0
0
0
16
16
16
8
16
4
32
32
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
0
16
4
4
8
8
8
0
8
24
8
8
12
8
16
0
0
36
36
36
36
36
36
8
0
32
24
24
16
16
8
8
8
0
0
16
8
8
0
16
16
4
16
2
2
40
2
0
0
0
24
0
0
8
0
8
0
4
4
33
33
33
2
48
48
0
0
0
0
0
0
0
16
16
0
0
0
1
1
0
29
29
16
16
16
32
1
1
1
0
8
8
8
8
5
0
0
1
8
8
16
16
16
0
0
0
0
0
0
0
16
16
16
16
4
8
8
8
17
17
0
0
10
16
8
16
1
1
1
0
0
0
16
16
16
0
16
0
0
16
16
16
16
16
4
4
4
4
16
0
25
25
2
32
0
4
18
0
0
0
0
8
16
8
17
0
0
0
0
0
8
8
8
0
0
0
24
24
0
0
16
0
0
16
0
4
4
0
9
9
9
0
16
10
8
8
0
0
0
1
0
0
0
24
24
0
16
8
32
1
1
0
8
0
16
16
0
0
0
8
16
8
8
8
4
34
0
0
16
16
8
24
24
0
0
0
24
0
16
16
16
2
16
0
0
0
0
16
8
8
8
8
8
8
8
8
8
4
4
0
50
0
0
0
0
8
8
16
16
24
8
0
0
0
8
16
16
0
0
16
16
16
16
16
8
4
4
12
8
16
2
24
0
0
0
0
0
0
0
24
2
8
0
10
10
8
5
16
16
24
16
16
16
0
8
8
16
1
8
8
0
2
2
16
16
0
16
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
8
0
24
20
0
0
8
2
2
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
16
8
0
8
8
2
32
8
8
8
16
8
0
0
40
0
0
8
8
0
8
8
8
8
8
16
16
16
16
0
8
16
16
16
16
0
0
0
2
4
16
0
8
8
16
0
0
1
1
1
0
0
0
16
48
48
4
0
0
0
9
9
9
0
17
0
8
0
0
0
0
0
0
8
1
1
16
8
9
2
0
0
16
16
4
4
0
9
0
8
0
20
0
0
19
19
8
8
0
0
0
0
8
0
0
0
0
0
0
0
0
0
20
24
0
4
0
0
0
0
28
0
1
0
0
30
0
0
24
0
0
0
8
0
0
0
16
0
0
0
8
0
4
24
24
24
24
8
0
16
4
4
1
1
2
2
8
8
0
0
0
8
0
16
8
8
16
16
16
16
16
0
8
8
0
2
0
0
8
1
0
0
0
8
1
1
1
1
1
1
1
1
1
0
0
0
8
8
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
32
0
8
24
16
24
24
0
16
16
0
0
16
16
0
8
0
0
8
20
16
0
8
8
8
0
0
8
0
0
0
0
32
32
8
8
16
16
16
16
19
19
16
16
26
0
0
24
0
0
24
4
16
0
0
2
0
8
4
4
0
0
8
24
8
0
0
9
9
0
16
24
0
16
8
8
8
0
0
8
0
14
16
5
5
5
4
8
8
0
0
0
0
16
8
16
16
8
16
0
0
0
0
4
17
8
0
10
0
8
12
0
0
16
16
0
0
2
2
8
24
16
16
24
16
0
0
0
0
3
8
8
0
0
0
8
8
8
0
0
4
24
0
0
0
16
16
16
16
16
16
16
16
16
0
0
0
8
0
16
4
0
0
1
16
0
0
0
2
2
0
0
0
0
16
0
2
2
0
0
8
0
0
24
24
0
0
8
8
8
40
40
1
32
32
8
16
8
45
45
45
45
0
0
2
2
0
0
0
2
2
0
8
0
0
0
0
16
16
16
0
0
10
8
16
0
0
0
16
16
2
8
16
16
16
0
0
0
16
1
8
8
16
16
0
0
0
0
0
0
17
17
0
16
16
16
0
8
8
16
0
8
8
8
0
8
1
8
16
16
1
16
16
1
0
0
0
0
1
0
24
0
0
1
1
8
8
24
24
0
0
2
2
16
16
16
16
16
16
0
0
0
0
0
42
42
0
1
0
0
0
0
4
4
1
1
8
8
0
0
16
16
8
8
8
8
8
1
1
8
0
0
0
2
16
16
16
0
0
8
0
0
17
19
0
0
0
8
4
0
8
8
8
0
8
8
0
0
0
0
0
0
17
16
0
4
0
1
8
8
8
0
8
8
0
8
0
8
16
16
2
0
0
0
16
12
16
0
1
0
4
4
4
16
16
16
16
8
8
0
16
0
0
8
8
16
16
0
0
0
0
0
0
4
0
8
8
0
8
8
8
0
24
24
24
0
32
16
16
9
4
4
8
16
0
0
0
0
0
8
8
8
8
8
16
16
16
16
8
8
8
8
8
8
2
16
8
8
4
4
4
4
0
4
16
0
0
0
0
32
0
0
0
0
48
0
4
4
0
0
16
0
0
5
16
16
9
9
9
9
0
0
0
8
8
32
19
0
0
0
0
0
0
20
1
1
1
1
8
8
0
0
0
16
16
0
0
16
9
9
42
0
0
8
0
0
0
0
1
1
2
0
16
0
0
0
1
2
8
0
0
0
0
0
0
0
0
6
0
0
8
0
0
0
4
4
4
20
20
20
16
0
0
16
0
0
0
0
8
0
0
16
16
24
8
0
0
8
0
0
0
0
32
0
0
0
0
0
0
0
0
0
0
16
16
16
8
5
20
8
8
8
8
8
8
0
0
0
0
0
16
18
28
0
4
4
4
0
31
0
0
0
0
4
4
4
16
25
17
10
8
0
8
8
0
8
0
0
0
20
20
20
17
0
0
0
8
8
8
16
0
16
16
16
9
9
9
4
4
4
0
0
0
0
2
2
16
0
16
2
1
0
2
1
16
16
0
0
8
2
2
24
0
8
8
8
0
0
16
0
0
4
24
24
24
24
24
0
0
0
0
32
32
32
32
32
32
8
8
1
1
0
2
0
16
16
16
16
8
8
8
16
16
8
8
4
0
0
0
0
0
0
0
0
0
16
24
0
8
8
0
0
0
0
0
0
0
16
8
8
0
0
0
16
48
48
48
48
0
1
1
1
0
0
12
0
1
16
42
4
4
4
32
32
0
17
0
0
0
0
16
16
16
10
10
16
0
8
0
0
33
16
2
0
0
0
16
0
0
8
8
1
16
16
0
24
0
0
0
0
0
0
1
8
0
0
1
1
1
1
1
0
0
0
0
0
8
0
8
0
30
30
30
0
0
0
0
0
0
12
0
0
8
4
48
16
0
0
0
1
16
0
0
8
0
24
8
8
0
0
0
0
0
0
0
0
6
6
6
6
6
6
6
6
6
16
16
0
0
0
8
8
8
8
16
8
8
0
0
0
17
0
0
0
0
0
1
8
16
24
0
0
0
0
0
0
0
3
28
8
8
8
8
8
8
8
8
0
2
4
4
4
4
0
8
0
0
22
22
0
0
2
4
0
8
8
16
0
16
16
8
0
0
0
8
0
0
0
16
8
0
0
0
0
1
0
1
16
4
4
4
0
0
16
16
16
0
0
0
0
0
0
17
0
0
0
0
0
0
0
0
0
0
0
0
16
9
32
32
0
4
4
4
8
0
4
4
0
12
12
0
0
12
16
0
0
0
0
0
20
16
16
16
8
0
0
0
0
0
0
0
0
0
8
1
8
8
16
16
0
16
8
0
8
17
0
8
8
0
0
0
8
0
0
0
2
8
0
24
24
24
49
1
4
4
0
0
1
1
1
16
32
4
8
0
0
0
0
0
8
8
8
4
0
0
8
16
16
0
0
0
0
0
0
0
0
0
0
0
0
16
8
8
8
16
0
8
0
8
0
0
8
16
16
24
0
0
1
1
1
16
16
16
16
16
16
16
0
8
8
0
0
0
0
0
0
0
17
17
17
1
32
32
32
5
0
0
0
0
16
16
0
16
16
16
5
32
0
0
8
8
0
0
16
12
0
0
8
1
8
8
8
0
8
0
16
17
17
12
16
16
16
16
16
16
16
0
4
16
8
0
0
17
17
17
0
16
16
16
32
48
0
0
0
16
16
16
16
8
8
8
8
0
4
1
1
8
8
8
0
0
0
0
16
16
16
0
0
8
0
0
0
32
32
32
2
0
0
0
0
8
8
0
0
0
0
8
0
0
0
16
16
0
0
1
16
24
0
24
24
8
0
0
0
8
0
0
0
0
8
4
4
4
1
8
8
0
4
4
0
16
16
8
8
0
16
16
0
20
16
0
4
8
0
8
8
8
20
20
12
8
16
8
4
4
4
0
8
8
8
0
0
0
0
16
16
0
8
8
0
16
20
20
20
32
0
8
0
8
1
0
0
0
8
0
8
1
0
0
0
0
0
0
16
8
0
0
0
0
8
8
20
0
0
0
0
1
1
1
1
0
8
8
16
1
0
0
0
8
12
0
0
2
0
16
16
8
0
32
0
0
0
0
0
0
8
8
2
0
32
8
0
8
16
16
5
5
5
0
0
16
16
16
16
16
32
0
8
0
8
8
8
8
0
16
16
2
2
0
8
0
4
4
0
0
8
4
0
4
4
4
0
0
24
0
0
0
0
32
0
0
16
16
1
1
1
8
0
0
0
0
0
0
0
24
24
0
16
16
16
16
16
16
16
16
16
0
12
32
32
8
8
8
0
0
4
8
0
1
0
0
0
0
0
0
1
0
0
0
8
8
8
8
1
1
1
1
0
0
0
8
0
0
0
0
0
0
0
0
0
0
4
0
8
8
16
0
16
0
2
2
16
16
16
16
16
16
2
2
16
4
4
4
4
3
2
16
8
19
19
0
8
4
8
8
8
8
8
24
16
16
0
0
8
16
16
0
0
0
8
16
16
16
16
0
0
8
8
4
5
32
32
32
32
0
0
0
8
8
8
0
0
0
16
16
16
0
0
0
0
0
16
0
8
16
0
0
0
17
0
0
0
0
0
0
1
1
16
0
16
16
16
0
0
0
0
0
0
8
8
0
0
4
0
0
2
0
16
16
0
24
0
1
1
8
0
0
0
0
12
0
0
2
0
0
0
0
0
0
9
9
9
9
9
52
52
8
0
8
8
8
8
8
0
0
1
1
1
8
8
44
24
24
4
4
9
1
29
29
29
0
0
0
24
24
0
16
16
16
16
16
8
0
17
0
8
8
4
24
0
0
0
0
0
0
16
16
8
0
0
0
0
0
4
16
0
0
0
28
0
17
41
0
8
8
18
18
24
12
12
8
1
1
0
4
4
16
32
16
16
0
24
24
24
24
0
0
0
0
0
0
0
0
0
16
16
8
0
16
16
13
16
0
0
0
0
0
0
1
1
8
1
1
0
8
8
8
8
8
48
48
0
16
16
16
16
0
0
0
16
8
12
0
8
8
0
8
8
8
8
8
5
8
8
8
8
8
0
0
0
1
1
1
24
8
0
0
0
0
0
32
32
16
8
0
4
0
0
8
4
4
0
16
0
16
16
16
61
45
1
0
0
0
0
8
8
0
0
0
16
16
16
16
2
8
0
2
0
0
0
0
8
17
17
17
8
0
4
8
0
0
8
4
4
8
0
1
1
1
16
17
4
4
4
0
8
8
8
8
0
0
0
8
0
0
0
17
0
17
22
22
0
0
4
4
0
0
4
8
16
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
8
17
1
16
4
4
0
0
0
16
8
8
0
8
0
8
8
8
0
8
8
8
16
8
0
0
0
16
2
2
16
8
8
24
24
24
4
8
0
16
16
16
16
4
25
25
25
25
0
0
18
28
8
8
32
0
0
0
0
8
8
8
8
8
8
16
16
10
0
0
12
8
8
0
0
20
0
0
0
0
8
0
0
0
8
8
8
4
4
4
0
0
24
8
0
8
1
0
1
0
8
0
0
16
16
16
0
16
16
16
16
16
0
0
20
0
0
2
0
0
0
8
8
8
8
0
8
8
0
4
4
0
36
8
0
8
8
8
0
0
0
16
8
30
8
17
17
0
16
16
1
8
8
8
8
8
8
8
8
0
24
24
12
16
16
16
4
4
4
0
0
0
0
0
8
8
8
16
1
1
1
8
1
8
8
26
17
8
0
0
16
20
20
20
20
4
4
4
16
0
0
0
16
0
32
0
0
0
0
0
0
34
0
0
24
24
16
44
0
0
8
18
1
8
0
0
0
18
4
8
8
8
4
8
8
1
0
0
0
0
48
48
0
0
0
0
0
0
4
4
4
0
0
8
0
0
49
0
24
16
4
2
0
0
1
1
16
16
0
0
8
8
8
8
8
4
0
8
8
0
0
8
8
0
0
0
0
0
16
0
0
0
16
0
16
16
16
8
8
8
32
32
32
32
48
8
8
8
0
0
17
17
17
0
0
0
8
6
6
0
8
8
0
0
0
0
24
32
0
0
0
8
0
0
0
0
0
0
16
0
0
0
8
8
8
8
8
1
1
0
8
4
16
16
0
0
0
0
0
2
2
0
0
0
32
0
0
0
0
0
0
0
2
2
25
0
8
8
0
8
16
0
2
2
48
48
4
24
8
0
0
0
4
0
0
0
4
4
4
20
16
0
0
0
0
4
4
13
13
13
4
0
8
8
8
7
7
7
4
8
4
1
0
2
0
0
0
0
0
0
8
0
0
8
0
0
16
8
8
0
8
8
8
8
0
0
56
56
56
56
56
4
4
4
4
4
0
0
32
32
0
1
1
1
8
8
8
0
0
8
0
0
0
8
16
1
1
1
1
1
20
20
8
0
0
8
0
4
4
4
0
0
0
0
0
16
0
4
0
0
0
32
4
16
4
12
0
0
0
0
0
0
48
48
2
2
2
2
2
2
2
2
0
8
0
0
0
4
4
0
2
10
16
0
0
0
16
16
16
16
8
1
0
8
16
12
12
2
2
2
0
0
0
24
8
0
0
0
8
8
8
8
0
0
0
0
16
32
32
1
16
0
0
24
24
10
2
2
8
2
16
0
0
0
8
8
1
16
16
7
7
7
0
0
49
8
0
16
4
4
0
1
8
8
16
16
0
0
0
4
4
16
8
0
0
4
0
0
8
8
8
8
32
32
0
8
0
0
2
0
0
0
0
8
12
0
0
32
32
32
0
16
16
5
4
4
4
16
4
4
4
16
16
0
0
0
0
0
0
0
0
8
0
16
8
0
0
0
8
8
8
8
8
8
8
8
8
2
0
8
2
2
2
0
0
0
0
34
34
0
8
40
40
40
0
4
8
8
8
8
8
16
0
0
8
8
8
8
8
0
0
16
16
16
17
0
16
16
16
16
1
0
0
4
4
0
16
16
18
16
16
0
2
2
2
16
16
16
8
12
2
2
2
0
0
0
0
4
0
2
16
16
5
0
4
4
4
4
4
0
0
16
0
8
8
8
8
8
0
0
16
0
0
0
0
0
8
0
0
8
8
4
4
4
4
0
20
0
16
16
16
24
24
16
0
2
0
24
24
4
1
49
20
20
2
2
16
17
1
1
1
8
16
8
0
0
0
0
0
0
0
0
8
0
0
8
0
0
0
0
8
0
0
0
2
0
0
0
0
0
0
0
16
8
0
16
0
1
32
32
0
2
16
0
0
0
0
0
0
16
16
16
8
0
0
16
16
16
12
4
16
0
0
2
0
8
0
0
0
0
0
8
2
8
2
8
2
0
8
2
0
0
0
0
0
8
8
8
0
0
8
8
0
0
8
24
24
45
45
0
16
2
13
13
2
0
16
16
33
33
1
0
0
8
0
0
0
0
8
0
8
28
4
0
4
0
16
16
16
16
12
16
8
2
12
32
16
16
16
16
17
4
4
4
8
2
0
0
0
0
32
0
4
0
2
2
2
8
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
8
8
8
16
0
0
0
0
8
16
8
16
16
16
16
16
16
0
0
8
0
0
0
0
0
0
0
0
9
9
16
16
16
3
0
0
0
16
16
0
0
26
0
2
0
0
0
0
8
0
0
1
1
4
4
4
4
4
4
0
8
16
0
0
8
0
24
24
8
8
8
1
1
1
1
0
0
0
0
16
16
16
8
17
17
8
8
8
0
0
0
0
0
0
0
8
0
8
8
8
8
1
8
4
0
8
0
0
16
16
0
0
0
0
0
0
0
8
8
16
16
16
0
0
8
4
0
1
8
8
1
0
1
8
0
1
0
0
0
0
0
8
8
16
0
0
0
0
16
0
16
0
0
0
8
8
8
8
8
8
8
0
0
0
0
0
8
8
16
8
24
8
1
0
0
0
16
32
8
8
0
0
0
16
16
0
0
4
4
0
0
22
22
20
20
0
0
18
18
8
0
0
4
16
8
2
0
16
0
0
0
0
0
0
0
8
8
24
24
24
0
16
16
1
4
4
1
1
1
16
16
16
0
0
8
0
8
0
0
0
0
0
0
8
8
8
0
4
0
0
8
8
8
8
16
16
16
1
0
0
16
16
16
0
0
0
0
0
0
0
1
2
2
10
0
4
8
8
0
8
8
48
48
1
32
2
2
8
1
25
25
0
16
0
0
0
8
0
8
0
8
8
0
8
0
8
0
16
16
16
8
1
1
1
1
0
0
4
4
4
4
1
1
0
0
8
40
40
0
0
16
16
16
16
4
4
8
1
0
0
0
0
0
0
0
0
4
4
16
0
1
1
20
20
3
8
20
16
16
0
0
0
8
16
0
0
0
8
8
55
16
16
16
16
16
16
8
8
8
8
8
8
9
0
0
0
0
0
0
0
0
8
1
16
16
16
16
8
8
8
8
16
16
2
0
1
24
0
0
0
0
0
0
0
20
16
16
4
0
16
16
0
0
0
0
0
28
0
0
8
16
4
24
16
16
0
0
0
0
0
8
16
16
16
16
16
16
16
0
16
0
0
0
0
0
16
8
0
0
1
1
8
8
0
0
16
0
0
8
8
8
25
0
0
16
16
8
8
20
4
0
8
16
16
8
16
0
0
1
0
0
1
0
0
0
8
20
20
20
0
0
0
0
8
8
0
0
8
32
32
32
24
0
0
2
4
4
0
0
0
0
8
0
0
0
0
0
0
10
1
0
0
1
0
8
8
8
8
0
0
32
0
2
8
24
16
16
16
16
0
0
8
19
0
0
4
0
24
24
24
24
0
0
16
0
16
0
0
16
1
0
0
1
1
1
8
0
0
8
0
8
8
4
4
8
8
0
0
16
16
16
16
16
16
8
8
0
0
0
0
4
1
4
16
16
20
20
20
20
0
0
0
0
0
8
32
16
0
4
0
0
0
0
8
0
4
4
8
8
8
8
8
0
0
8
8
16
16
8
8
8
0
8
0
8
8
2
2
16
1
16
16
16
16
16
0
8
16
0
0
0
16
0
0
0
0
2
0
0
0
16
0
0
8
0
16
0
17
0
32
0
0
0
16
0
16
16
8
4
0
18
0
1
0
8
6
6
20
20
8
8
8
8
0
0
0
18
8
0
0
4
0
0
0
16
4
4
0
0
20
8
0
8
4
24
0
0
0
0
8
8
0
0
2
8
0
40
0
18
8
8
8
0
0
4
8
9
0
8
8
8
8
4
8
16
16
16
16
4
16
0
0
4
16
18
0
0
0
26
26
0
0
20
18
0
4
8
0
8
8
0
0
16
16
8
8
0
16
16
0
0
0
8
0
0
0
0
0
0
0
0
0
16
1
8
0
0
16
4
4
16
16
0
0
0
8
16
0
0
0
0
0
16
0
0
0
4
4
0
0
0
8
0
0
1
1
2
0
0
0
0
0
0
4
0
0
0
0
0
16
16
8
0
0
16
0
0
0
16
16
16
0
40
8
0
0
0
0
0
0
0
0
0
0
16
0
0
0
16
0
0
32
16
16
16
16
0
8
8
16
0
2
8
8
8
8
8
8
8
8
8
8
8
8
24
2
8
16
0
1
1
1
16
0
24
0
0
4
20
16
32
8
1
0
0
0
0
20
16
8
24
24
0
0
0
0
0
0
0
16
16
4
4
4
2
2
0
16
0
0
0
2
2
2
2
2
2
2
2
2
1
8
8
2
0
8
8
8
2
20
1
0
0
0
8
8
0
2
8
5
8
0
1
1
0
0
0
0
0
32
32
0
0
0
0
4
4
0
8
24
16
16
16
32
32
8
8
0
0
0
16
10
12
12
0
0
0
0
0
0
0
5
8
8
16
0
4
40
0
0
0
0
0
0
1
20
0
0
0
0
0
0
4
24
0
2
0
32
32
16
16
0
0
0
0
16
16
16
0
16
16
16
0
0
0
16
16
0
0
0
4
4
0
0
1
0
0
0
0
0
4
8
8
8
8
8
8
0
0
0
2
2
8
8
16
16
16
8
3
8
8
8
8
0
0
0
6
8
0
16
18
0
1
0
0
16
0
0
0
0
0
0
16
16
16
0
0
0
0
0
8
2
2
2
16
16
16
16
16
16
16
16
24
24
24
24
24
16
16
16
16
0
8
8
4
8
16
0
4
4
4
8
0
0
8
8
16
4
4
0
8
8
1
8
8
8
1
1
1
0
0
0
0
8
0
0
2
0
16
8
0
16
0
0
0
16
8
0
0
0
0
0
8
16
4
4
4
1
0
0
0
0
1
17
0
0
8
8
0
9
9
9
0
4
0
0
4
16
0
8
0
0
0
0
16
16
4
4
4
0
16
0
16
8
0
0
1
0
16
16
16
16
4
0
0
0
0
0
0
0
0
0
4
0
0
0
0
17
0
0
8
8
8
0
0
0
0
8
16
0
0
55
8
8
4
16
0
0
2
2
2
2
4
48
0
8
8
8
0
0
16
16
0
0
16
8
4
4
0
8
0
1
0
20
20
20
16
4
4
1
20
4
0
0
0
0
24
24
24
24
0
0
0
0
0
1
16
8
8
8
8
8
8
0
0
0
0
0
0
16
16
2
16
0
1
0
1
8
0
1
0
0
0
0
0
8
4
8
8
16
8
8
17
17
17
8
16
16
1
1
8
8
8
4
16
4
4
16
16
16
0
0
0
0
16
16
0
8
8
0
0
16
16
16
16
32
32
16
16
16
16
16
0
0
0
0
0
8
0
0
0
0
0
0
0
0
1
0
0
0
0
16
16
0
0
0
0
0
0
0
8
1
8
0
2
2
8
16
0
0
9
8
0
0
1
1
1
4
8
16
1
0
0
0
2
0
1
0
16
16
16
16
16
16
0
8
8
4
0
8
8
0
0
0
0
0
0
0
0
8
8
0
8
1
8
8
16
16
16
0
1
2
24
0
0
3
8
8
8
8
8
8
8
8
0
0
0
2
2
2
8
16
0
8
8
16
16
16
8
0
16
16
16
16
0
0
1
1
0
4
8
16
16
0
10
16
16
1
0
8
8
0
6
0
0
4
16
0
8
8
16
16
0
0
2
8
0
0
16
0
0
2
12
12
2
0
0
0
0
0
8
8
0
0
0
8
8
0
0
0
0
4
4
32
32
2
24
24
8
27
16
0
0
2
2
8
0
0
0
4
4
8
8
8
8
8
0
32
0
0
1
0
0
0
2
2
8
8
0
9
0
1
16
25
0
0
0
2
0
0
9
16
0
48
15
15
0
0
0
32
0
8
0
20
24
8
8
19
19
16
1
8
16
0
0
0
0
0
0
0
0
0
0
0
0
0
16
8
8
2
0
0
0
0
0
24
24
16
16
0
0
4
4
16
16
16
8
8
8
6
8
16
0
32
8
0
0
0
0
0
8
0
0
0
8
8
16
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
8
24
16
0
0
0
16
8
0
2
8
16
32
4
8
8
8
16
16
16
8
8
0
16
16
16
16
16
0
0
8
8
9
16
16
16
16
4
4
4
24
4
0
8
0
0
0
8
8
0
1
1
1
0
0
4
4
0
0
0
16
0
0
0
8
8
8
8
0
8
1
1
1
0
0
10
10
0
16
2
0
0
0
0
0
0
0
0
16
8
0
0
0
0
16
16
8
0
4
0
0
0
0
0
0
24
0
8
8
8
8
8
8
8
8
8
8
8
8
8
16
16
16
5
5
0
0
8
8
0
0
0
12
12
12
12
24
1
1
1
1
1
1
1
0
0
0
0
2
4
4
16
0
0
0
0
12
0
16
16
33
4
4
4
8
0
8
4
8
8
1
16
16
0
0
16
0
16
0
0
0
8
8
8
0
16
16
18
24
0
0
0
8
8
4
16
16
16
16
16
0
0
8
0
0
8
4
0
28
0
0
1
1
1
0
0
0
29
6
0
0
0
0
20
0
16
24
8
41
0
0
0
0
2
2
2
8
17
17
17
8
0
0
8
8
4
8
0
0
1
0
0
0
0
52
5
8
8
8
8
0
59
59
4
0
8
0
0
16
4
0
0
0
0
0
0
32
32
0
0
0
16
0
0
0
16
16
16
8
0
0
0
0
0
8
12
12
12
1
1
1
0
0
4
4
2
0
0
0
0
8
2
2
24
25
16
0
0
0
8
0
0
24
24
16
5
16
0
0
17
8
2
24
16
16
2
0
32
32
32
16
4
0
16
0
0
8
4
0
0
0
8
0
2
4
16
16
8
8
8
0
0
8
8
8
0
2
16
0
0
2
2
8
0
0
8
2
0
0
0
0
32
25
0
0
0
0
0
16
4
4
1
2
0
0
0
16
16
0
4
4
16
16
16
0
0
8
2
4
4
0
0
0
17
1
0
0
0
0
0
0
16
0
0
4
0
8
0
0
0
0
0
0
0
0
16
0
0
16
0
0
0
16
0
0
24
0
9
9
9
2
0
0
1
1
0
0
8
0
8
0
0
0
0
16
0
0
0
0
0
8
0
0
8
16
42
8
8
0
0
8
16
16
0
8
9
9
8
0
0
16
24
24
0
0
0
0
0
0
1
0
0
0
0
16
10
0
8
8
8
8
9
8
8
0
0
0
0
0
8
8
0
0
8
8
16
16
0
0
8
8
8
8
0
0
4
16
16
16
0
0
0
0
8
8
0
0
0
32
0
0
0
0
0
0
9
8
0
0
0
0
0
0
4
16
16
16
16
0
0
0
0
0
0
24
24
16
16
0
0
0
0
16
0
0
0
0
16
8
0
0
0
17
2
0
0
0
0
0
0
32
0
16
16
0
0
8
0
0
0
16
0
8
8
8
0
8
8
0
32
32
32
16
16
16
16
0
0
0
0
25
8
16
16
4
4
2
16
1
0
9
0
8
2
8
8
8
0
0
0
16
0
0
0
0
0
0
0
8
0
0
4
4
4
16
16
4
4
0
0
8
0
0
0
8
0
0
0
0
0
16
16
0
0
0
4
8
8
8
4
4
9
9
9
0
0
8
8
8
0
2
8
8
0
18
18
18
0
16
0
0
0
0
0
0
8
1
0
0
0
0
0
8
16
16
16
16
16
16
16
16
16
16
0
0
0
0
0
16
16
4
32
4
0
0
10
10
16
4
0
0
8
16
16
16
16
24
16
16
8
32
0
16
12
12
4
0
0
0
0
0
16
16
0
32
32
4
0
0
0
16
16
0
0
0
0
0
0
1
8
0
0
2
2
2
2
2
2
32
32
1
8
8
8
2
0
0
0
24
0
0
16
16
17
17
8
4
4
0
0
0
8
0
0
24
24
24
0
0
0
0
0
0
8
16
8
8
0
8
8
8
8
24
0
0
16
0
0
8
0
0
0
0
0
0
0
8
8
8
16
18
8
8
1
1
8
8
20
0
0
0
0
0
16
8
48
48
48
12
12
8
0
0
0
8
0
0
0
0
16
16
16
8
0
0
0
16
16
0
8
1
0
0
16
3
3
32
16
16
1
0
0
10
0
16
16
0
8
32
32
4
4
4
4
4
0
0
8
0
2
16
0
0
0
8
0
0
0
0
0
2
24
24
24
0
4
4
1
0
0
0
0
0
0
16
16
16
16
10
16
16
1
16
16
16
16
16
16
4
4
1
1
8
8
8
8
0
17
17
17
17
17
17
8
32
32
40
9
0
8
16
8
8
0
0
0
16
0
0
1
1
0
0
2
2
2
0
16
16
8
8
8
0
0
0
0
0
1
0
0
4
4
4
16
16
16
0
0
8
16
24
0
18
18
16
0
16
17
17
17
17
1
1
4
8
8
8
1
16
8
0
32
0
0
0
16
4
0
2
1
32
32
32
32
0
0
8
4
8
8
8
16
16
20
8
0
16
0
0
0
8
16
2
0
1
1
1
0
0
0
0
0
8
8
8
0
16
0
0
8
0
0
16
16
8
4
4
4
8
0
4
4
16
16
16
0
0
24
0
0
0
8
8
24
24
24
24
1
1
1
8
8
0
0
0
29
0
0
0
0
4
16
16
16
0
0
0
0
16
8
0
0
24
0
8
16
0
4
16
16
16
0
0
0
0
16
16
16
1
0
0
0
0
16
0
0
0
8
8
8
8
0
0
0
0
0
8
0
0
0
16
16
16
16
16
10
10
40
8
8
8
32
0
17
17
1
16
0
8
8
8
0
0
7
7
7
2
2
4
0
8
16
1
1
24
24
1
0
0
0
0
0
0
0
8
16
0
0
24
0
0
0
0
0
0
1
0
1
1
1
0
0
2
4
0
2
2
0
16
0
0
0
16
0
16
16
16
16
16
0
3
4
1
1
1
16
8
0
0
1
1
0
16
16
0
0
0
16
0
0
0
0
12
24
24
9
9
0
0
0
0
0
4
0
8
0
0
0
0
0
0
0
16
1
0
0
0
9
0
8
8
0
0
8
8
0
0
0
8
8
0
0
8
8
16
0
0
0
16
16
0
16
2
8
16
16
8
8
8
8
8
8
0
0
0
8
16
16
8
0
4
4
0
0
0
0
0
0
16
1
0
0
0
0
0
0
16
16
16
0
0
0
0
0
28
2
16
32
32
16
16
24
4
4
8
8
16
0
17
17
17
29
0
1
0
0
0
0
0
4
4
24
4
4
4
4
0
0
8
0
0
4
0
0
8
16
20
24
4
16
8
8
0
0
16
16
0
0
0
0
0
0
16
0
1
1
16
16
8
61
16
0
0
0
16
8
8
8
32
32
4
4
0
2
2
0
1
1
8
0
4
4
4
0
0
0
0
0
0
0
8
8
0
1
1
0
0
4
4
0
0
16
16
4
8
8
0
0
0
0
0
0
0
0
1
9
0
32
4
8
8
1
8
8
8
8
8
0
24
8
8
0
2
2
16
0
8
8
0
0
16
0
0
0
20
20
0
0
1
16
8
0
0
0
0
0
0
2
4
4
4
17
0
0
0
0
0
16
0
0
0
8
16
16
0
0
0
16
16
16
8
8
0
16
16
16
16
16
0
1
16
16
16
8
8
0
16
0
16
8
1
6
32
4
4
4
8
8
8
0
0
0
8
0
16
16
16
0
4
16
8
8
8
4
32
8
4
16
16
16
0
0
0
1
1
20
20
8
8
8
8
4
16
8
0
8
32
32
32
32
32
1
1
0
8
8
0
0
0
32
1
9
9
0
0
8
2
2
49
16
16
16
0
0
8
0
28
28
8
8
16
0
0
16
1
16
32
32
0
0
0
18
20
11
11
8
6
0
0
0
0
0
0
0
8
4
3
8
8
4
0
0
0
2
8
8
16
16
8
0
0
0
0
0
8
16
16
16
16
0
8
8
12
12
12
12
12
12
12
0
16
4
0
16
1
28
0
0
0
0
0
0
0
8
8
16
0
0
0
0
32
32
30
30
4
0
0
0
0
0
0
32
8
16
2
2
0
4
0
0
0
0
0
0
16
16
8
0
0
16
8
0
0
8
0
0
1
1
1
1
8
0
8
8
0
0
0
4
4
4
4
8
16
16
16
16
1
1
4
0
0
2
2
0
0
0
0
0
0
0
0
1
18
18
0
0
0
20
8
16
1
0
0
0
0
0
0
0
8
0
0
16
16
16
16
0
0
0
0
16
8
16
16
0
0
8
8
8
0
0
0
0
24
24
24
0
6
4
4
4
8
4
18
18
0
0
1
1
16
16
0
0
22
1
2
2
2
0
0
0
0
0
0
45
8
4
4
16
16
0
16
0
0
2
2
16
16
0
1
8
0
0
8
8
36
36
0
16
16
3
0
3
0
0
4
1
0
0
2
16
2
3
8
18
4
0
8
8
8
8
12
12
12
16
32
34
34
8
0
0
0
0
8
8
8
0
0
0
0
4
0
12
0
16
16
32
4
0
0
0
16
1
1
1
1
1
1
1
0
18
16
8
8
8
8
3
0
16
0
0
0
8
8
18
0
0
0
0
0
16
16
8
8
8
8
8
0
8
9
9
8
48
18
3
1
2
2
2
2
2
2
8
8
8
0
16
16
16
16
32
32
24
24
16
16
16
16
0
0
0
8
16
8
0
0
9
16
16
16
16
8
2
2
0
8
16
8
8
0
0
0
0
0
0
0
0
0
0
8
8
8
26
1
1
1
8
16
0
0
8
0
0
0
40
16
16
8
1
8
8
0
1
0
16
16
0
0
0
8
8
0
0
0
8
0
8
8
8
8
2
16
8
8
8
40
8
2
0
5
0
0
0
0
8
2
2
0
0
0
16
16
28
8
4
4
4
16
16
16
16
20
8
8
0
0
1
1
16
0
1
1
1
1
0
4
8
8
37
16
16
0
24
24
0
0
0
8
0
0
16
20
4
0
0
8
0
0
24
0
8
8
4
4
0
2
0
24
24
3
13
0
24
24
8
8
8
16
16
16
0
16
22
0
0
16
16
0
8
0
0
0
8
0
17
17
0
0
0
0
0
16
8
8
8
8
8
0
24
8
8
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
16
8
0
32
32
8
16
16
8
8
0
16
16
0
0
0
0
0
0
0
1
1
0
0
0
0
8
0
0
0
24
0
1
8
8
8
16
16
24
24
0
0
0
8
16
16
12
0
0
8
4
8
8
1
8
8
8
8
16
4
4
4
0
8
8
8
8
36
8
0
0
0
8
16
16
16
0
16
16
4
4
4
4
4
8
8
0
0
0
0
8
0
0
8
8
8
0
0
0
0
21
20
0
0
4
8
26
9
9
9
0
0
0
0
0
0
0
16
16
8
0
0
0
8
0
0
0
0
0
0
0
0
4
8
8
16
16
8
16
0
9
8
16
3
3
4
0
0
0
8
0
32
0
8
0
0
4
4
0
0
0
1
0
0
0
9
0
0
8
16
16
16
0
8
12
16
16
0
8
3
8
8
0
8
0
0
0
0
8
8
0
0
0
0
8
4
0
0
0
0
0
0
0
0
0
0
4
4
0
0
0
0
0
0
16
1
8
16
16
0
0
0
16
0
0
8
8
4
0
0
0
0
0
0
0
0
16
16
16
8
0
4
4
4
16
1
1
0
4
4
4
8
16
16
2
0
8
8
2
0
16
8
0
16
8
4
0
0
16
0
0
0
0
0
8
8
8
2
2
0
12
12
8
0
0
0
0
8
0
1
16
1
1
0
8
8
0
0
0
24
0
0
0
0
0
24
24
16
25
0
0
0
0
4
16
2
0
8
4
0
0
8
0
0
0
1
6
0
0
10
0
0
4
24
24
24
24
0
0
0
0
8
0
0
0
8
3
43
0
8
0
0
16
0
0
24
24
16
0
0
0
0
0
0
12
12
8
0
16
16
16
16
8
0
4
0
9
0
0
8
8
28
28
28
0
0
8
28
0
0
0
8
0
24
16
0
0
0
16
16
1
0
8
8
0
0
2
0
29
4
16
0
0
8
0
0
0
8
8
8
8
8
8
16
0
0
56
0
8
8
8
1
1
8
0
0
0
0
8
8
0
8
16
16
0
1
0
0
0
0
4
8
0
0
0
0
0
0
16
16
16
0
8
8
8
1
1
1
0
32
12
8
8
0
0
0
0
16
16
16
8
8
8
32
32
8
4
4
6
0
1
0
8
4
16
16
1
4
8
8
2
2
2
0
0
4
4
24
24
20
20
45
45
8
0
0
16
8
0
0
0
0
8
8
8
8
0
0
0
16
16
0
4
0
24
24
0
0
16
16
8
8
8
16
1
1
8
16
16
1
0
0
8
8
8
8
0
0
8
8
0
8
2
2
2
16
1
1
0
0
0
8
0
16
0
1
0
12
2
16
16
16
4
4
8
8
16
16
8
16
32
0
0
0
0
8
16
0
8
8
2
8
8
8
8
0
0
0
0
17
11
11
18
1
32
0
0
0
0
16
8
8
8
8
0
8
8
16
0
0
0
8
0
0
0
0
0
8
24
2
2
0
4
0
8
16
8
8
8
8
8
8
0
20
20
16
8
4
24
24
24
24
24
4
4
4
32
32
8
0
0
0
8
8
0
0
0
24
0
0
16
3
0
24
24
8
8
16
16
0
0
0
0
0
0
0
0
4
4
4
4
16
16
16
8
0
0
24
24
16
8
0
16
0
16
0
0
2
8
16
16
8
8
0
0
9
16
16
16
32
8
8
8
0
0
16
16
16
2
16
0
0
2
2
2
2
25
25
16
0
12
0
0
0
0
0
0
0
16
0
0
0
2
0
0
0
0
0
0
8
16
16
0
17
16
16
16
16
16
16
1
1
1
8
0
0
0
0
0
16
40
0
0
0
16
16
8
0
0
0
0
0
0
0
0
4
0
0
2
0
9
0
4
32
16
4
8
0
0
0
0
8
8
0
34
34
34
34
1
1
5
0
0
16
16
16
8
0
0
0
2
0
0
0
0
8
17
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
16
0
20
32
32
0
0
0
4
16
2
2
1
8
8
8
0
0
0
8
32
32
0
0
0
8
8
0
0
1
0
0
0
1
8
16
16
16
0
0
0
0
0
0
0
4
4
16
22
22
8
16
16
16
16
16
16
0
0
0
0
2
2
0
8
30
0
16
8
16
16
26
26
36
0
8
8
8
0
0
8
8
0
1
1
0
0
0
0
9
9
61
1
10
16
16
0
0
8
8
0
8
8
8
8
8
0
0
6
16
0
8
8
0
0
18
16
16
16
0
16
0
0
0
0
16
2
8
16
0
0
0
0
2
2
0
0
0
0
0
0
16
0
0
0
0
0
16
8
0
8
16
1
8
8
8
0
0
16
16
5
0
8
19
19
19
8
8
0
0
0
0
8
8
16
16
0
0
0
0
0
8
1
2
0
0
0
0
0
16
16
16
16
0
0
16
0
16
0
0
0
8
8
8
0
4
4
4
4
4
8
16
8
8
8
16
16
0
0
12
0
0
0
24
0
8
4
0
8
2
8
8
8
0
16
16
16
16
16
16
16
8
16
0
0
0
0
0
0
2
0
8
2
2
2
8
8
0
0
0
0
0
0
8
8
8
2
2
0
16
16
1
1
0
24
8
8
32
32
32
0
0
0
2
2
0
0
16
16
8
4
0
16
16
16
1
16
0
4
0
0
0
0
0
0
0
0
0
24
16
0
0
0
0
0
0
32
32
32
32
32
0
48
0
2
0
0
0
0
16
16
16
16
16
16
1
1
0
0
1
4
22
4
8
8
0
0
8
16
16
0
16
24
24
24
4
32
32
0
0
8
0
16
16
16
8
16
16
16
16
16
16
16
16
16
16
4
16
16
16
16
16
16
2
0
0
0
0
0
0
24
24
0
0
16
0
0
0
0
0
16
16
0
0
0
50
4
8
8
4
4
16
24
24
0
0
0
0
0
0
8
4
17
0
32
8
8
0
0
0
0
16
0
0
16
16
0
0
0
0
0
2
1
1
8
24
0
16
0
0
32
32
32
32
32
12
32
0
0
4
0
8
8
16
16
16
0
0
8
8
0
16
20
8
0
0
0
0
0
0
0
8
8
2
8
8
1
28
7
7
7
1
0
0
16
8
8
2
40
40
40
2
8
8
8
8
8
8
4
4
16
8
8
6
16
0
8
8
0
16
0
16
16
16
16
16
36
20
8
8
8
16
16
0
16
16
0
0
24
24
24
24
24
24
8
2
2
2
2
2
2
2
0
0
0
8
8
4
4
4
24
24
32
32
32
32
0
0
0
0
8
24
8
0
0
0
0
8
8
8
8
8
8
8
0
4
4
4
4
0
16
16
16
0
0
2
8
17
17
0
0
0
8
16
8
16
0
0
0
0
0
0
2
2
0
0
0
8
0
0
32
16
32
8
8
8
8
8
1
0
21
21
21
8
8
0
2
4
16
0
32
32
0
0
0
0
0
8
8
4
8
8
8
8
0
0
0
0
5
0
0
0
0
6
6
8
0
8
2
32
0
0
8
0
0
0
0
2
0
0
0
0
6
6
0
4
2
0
0
8
2
8
8
8
0
0
16
22
22
22
0
0
16
24
8
0
16
0
0
16
8
0
16
22
8
0
0
0
0
1
1
1
0
0
2
4
24
16
0
0
0
0
0
0
16
0
24
24
24
8
16
0
8
0
0
0
0
0
17
17
4
0
0
16
16
0
8
8
8
8
16
16
16
2
0
16
16
16
16
16
16
16
16
16
16
0
8
0
0
12
0
0
0
0
0
16
16
0
0
8
0
2
0
0
0
8
0
0
24
16
4
16
16
17
17
16
0
16
1
8
8
1
0
40
40
8
0
16
16
16
16
16
0
0
0
0
0
0
16
16
4
32
32
0
0
16
4
0
0
0
0
0
8
41
12
0
0
0
0
0
0
8
8
0
0
8
8
8
16
16
16
0
8
8
8
8
8
0
0
0
8
0
32
0
0
16
16
16
4
4
4
16
16
0
0
0
0
0
0
2
0
0
8
1
16
4
4
1
20
0
0
8
8
8
8
1
15
15
15
0
16
16
1
1
1
1
1
0
0
0
16
16
0
0
16
8
8
16
18
16
0
4
4
4
16
0
16
0
18
18
0
0
8
8
8
8
24
0
0
0
0
0
18
18
18
18
0
0
0
0
0
0
16
0
16
16
16
10
0
20
20
0
1
0
8
0
8
1
16
1
1
0
0
2
8
32
32
32
32
0
24
24
8
8
0
0
0
20
0
0
0
16
0
16
8
0
16
8
8
8
8
0
0
16
16
0
0
16
18
40
0
28
4
4
0
0
0
0
0
4
4
4
4
24
0
16
8
8
8
8
8
16
16
0
6
0
0
0
0
0
0
24
1
1
1
16
16
16
0
0
0
16
28
8
0
0
16
0
0
6
0
0
0
0
0
0
0
0
1
1
16
0
0
0
8
8
0
8
0
8
16
1
1
1
16
4
4
0
8
0
0
8
8
0
16
16
16
16
16
16
4
4
0
2
0
0
0
0
8
0
9
1
1
8
16
0
0
0
0
16
16
0
23
23
16
0
0
0
8
0
0
2
2
2
2
2
16
16
8
8
8
8
8
8
0
0
26
8
8
16
33
16
16
0
0
32
8
8
2
8
1
0
0
0
8
8
1
1
0
0
0
8
8
0
1
17
17
8
8
8
8
8
4
16
4
8
8
0
8
8
16
1
1
1
1
0
0
8
7
8
8
2
0
0
4
2
4
8
0
8
4
0
0
4
0
1
16
16
16
16
16
4
4
4
4
8
0
40
16
16
0
0
16
0
8
8
0
8
1
0
0
0
0
2
32
16
4
16
8
8
16
16
4
2
2
8
0
2
2
2
2
2
0
0
0
0
0
0
0
8
8
0
0
16
32
0
0
0
0
0
0
0
0
0
0
0
2
2
0
0
16
2
2
2
0
0
0
0
8
8
8
8
24
4
4
8
48
48
48
16
16
16
8
0
0
16
8
2
2
32
4
4
5
32
0
0
0
0
0
0
45
45
24
24
32
32
12
0
16
16
0
0
16
8
8
0
0
16
8
0
16
16
16
32
32
0
0
4
4
4
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
48
48
4
4
4
0
0
8
8
16
16
16
0
1
2
0
0
0
0
16
0
0
0
16
0
0
16
0
0
0
0
0
0
0
0
0
0
4
4
0
4
1
0
0
17
8
0
32
32
8
0
24
24
1
4
4
16
16
16
0
0
16
2
0
17
16
20
8
8
16
0
8
16
16
8
8
0
4
1
1
1
1
48
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
8
8
16
0
2
2
0
16
16
0
0
0
16
16
0
0
0
4
0
0
40
0
10
10
0
0
0
8
0
2
16
0
2
1
1
1
8
33
0
0
0
0
0
0
0
6
6
0
0
0
4
4
4
32
1
16
0
0
16
0
0
0
8
2
0
0
0
0
17
8
0
8
8
1
1
1
0
0
0
0
0
0
0
0
0
8
8
0
8
0
0
4
0
0
8
8
4
0
0
32
32
32
32
32
32
32
16
16
2
2
16
16
16
16
0
8
8
0
0
16
0
10
6
6
0
8
1
16
16
16
16
16
16
16
16
16
0
0
0
8
8
8
16
8
48
48
8
8
8
16
16
0
1
0
0
0
0
8
8
16
8
2
8
8
1
8
8
4
1
16
16
16
16
4
8
8
2
30
8
0
8
16
16
0
8
16
16
0
16
8
8
0
8
0
0
0
25
25
0
0
12
0
2
2
0
1
1
1
1
8
8
8
0
1
2
16
16
16
16
16
16
24
0
2
0
0
8
0
0
0
0
4
4
4
0
0
0
0
0
0
0
0
0
0
8
8
8
32
16
16
8
8
16
16
16
0
0
2
16
8
8
0
12
2
16
0
4
0
0
16
16
16
0
0
16
8
0
1
8
8
8
8
16
4
0
0
1
4
0
4
4
16
0
5
5
5
8
8
8
8
8
8
0
16
4
0
0
8
0
0
0
0
4
0
8
0
8
8
8
8
0
25
0
0
0
0
0
0
0
4
4
0
0
0
8
8
8
0
2
0
8
16
16
16
0
16
0
8
0
24
8
8
16
4
4
0
0
0
0
0
0
0
0
0
16
8
8
0
0
2
32
16
0
0
0
0
0
0
51
0
0
0
0
2
48
48
0
8
8
8
2
0
0
8
0
0
16
16
0
16
0
0
0
8
16
0
8
32
0
0
16
8
8
8
0
0
0
0
0
16
16
16
16
4
0
0
8
16
4
4
0
0
4
16
0
0
4
8
4
4
4
24
8
8
8
8
24
8
0
0
0
0
0
0
16
16
32
16
0
0
0
0
7
2
8
8
16
8
8
0
0
0
1
1
8
0
8
0
0
0
16
16
16
0
0
0
0
0
0
0
0
0
0
4
4
4
2
16
8
2
8
1
16
4
4
0
0
0
0
8
8
0
0
0
0
0
0
8
8
0
0
0
0
8
8
2
8
8
8
8
0
0
0
0
0
0
8
16
1
24
0
0
0
0
0
16
16
8
2
1
0
24
8
8
8
8
0
0
8
8
0
0
0
8
8
0
24
16
0
0
1
8
8
8
1
1
8
8
0
0
0
0
16
16
16
16
16
0
8
4
4
0
0
0
8
8
8
8
0
16
16
1
0
0
0
1
9
1
1
8
1
3
0
16
4
4
5
16
0
36
36
16
16
0
17
17
0
0
0
0
16
16
8
16
16
0
0
0
0
4
8
0
0
8
8
0
0
0
0
0
0
0
1
1
16
2
16
8
2
0
0
23
8
8
0
0
0
8
8
8
8
0
8
8
8
16
0
16
16
1
0
16
16
0
8
8
8
8
8
0
1
32
32
18
28
28
16
16
0
0
8
8
4
4
0
0
16
16
2
2
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
16
8
0
16
0
16
8
4
0
0
4
4
0
51
24
16
8
17
0
0
24
24
8
8
12
16
16
16
8
1
12
16
16
16
16
0
0
8
8
8
8
0
0
0
0
0
16
16
16
16
16
0
0
0
0
0
0
4
8
8
16
0
25
0
0
0
0
0
0
0
8
8
2
16
25
16
17
8
0
8
8
8
0
28
0
0
25
32
0
24
0
0
4
4
16
16
16
16
8
8
8
8
0
0
0
0
16
36
8
16
0
0
0
0
0
0
0
0
28
0
0
16
20
4
0
0
16
4
4
4
4
4
4
4
4
4
8
16
6
4
0
8
0
0
0
0
0
16
16
0
0
0
12
0
0
18
8
0
0
0
0
8
8
16
16
16
16
32
8
8
8
0
0
0
2
12
0
0
0
0
0
4
4
0
0
0
0
16
8
0
0
8
8
8
32
32
16
8
8
24
1
8
18
0
21
8
1
0
32
0
0
0
0
0
32
16
16
16
16
1
0
0
0
1
1
0
0
0
0
8
8
2
0
0
0
0
8
8
8
5
1
1
0
8
0
0
1
1
8
1
1
0
0
8
0
16
16
16
0
16
16
0
16
16
8
8
8
8
0
8
32
0
4
12
12
12
12
0
0
24
24
24
8
0
0
0
0
24
24
24
24
16
8
1
16
16
0
8
1
0
8
0
8
0
0
0
0
0
0
0
12
12
0
0
20
4
4
4
4
4
16
0
16
0
1
0
0
0
0
0
0
8
8
4
0
0
0
0
18
0
4
0
0
0
4
4
0
0
0
0
8
8
0
24
0
4
4
4
8
2
8
0
16
16
0
0
0
32
32
0
1
0
0
16
8
0
16
1
11
8
0
8
0
43
0
0
8
0
1
2
2
2
0
0
0
1
8
1
8
16
0
8
0
0
0
0
0
0
0
16
0
0
0
32
32
32
0
0
0
8
8
8
0
0
0
0
0
0
8
0
0
0
0
0
0
32
32
16
16
16
0
0
0
0
0
0
0
5
0
0
0
0
32
32
0
4
16
16
8
8
0
0
1
1
0
0
0
16
16
16
16
2
1
2
2
2
0
2
2
2
2
2
0
8
0
16
2
0
8
16
0
0
0
8
8
8
8
8
0
0
0
1
1
45
8
0
16
8
0
4
24
8
8
16
16
16
16
16
0
8
0
16
0
0
20
20
20
0
0
4
0
8
8
8
8
0
16
8
8
24
0
0
32
32
4
4
4
10
10
10
10
0
4
4
8
8
8
2
2
1
8
1
8
8
0
16
16
8
3
3
4
0
0
0
24
0
16
16
4
4
1
1
0
8
8
8
8
8
0
8
8
12
0
0
0
8
0
0
16
16
16
0
9
9
0
0
17
0
8
18
16
16
16
1
17
17
25
25
8
2
33
0
0
24
0
0
0
0
0
0
0
0
0
0
0
10
8
8
0
16
0
0
8
0
0
0
0
17
17
8
8
8
8
16
0
1
8
0
16
4
4
0
0
0
0
8
0
16
8
0
0
16
20
16
16
16
16
0
0
17
0
0
0
8
0
36
16
16
4
0
0
0
16
32
32
1
0
0
0
8
8
8
8
16
16
0
0
16
0
33
0
0
0
0
16
0
4
4
0
33
33
33
8
0
0
0
8
2
2
2
4
0
0
2
2
8
2
8
0
0
20
32
32
32
32
32
32
32
32
32
32
32
0
8
8
0
0
4
0
8
8
0
0
16
0
4
20
20
16
16
8
2
28
0
4
0
0
0
0
0
1
1
1
1
0
0
4
4
0
0
0
0
23
0
3
2
0
0
4
0
0
0
0
0
1
0
0
1
1
1
1
1
8
0
0
0
16
1
2
0
0
0
0
24
24
0
0
1
0
0
0
16
16
16
8
16
16
16
0
8
8
16
16
16
0
8
0
16
24
20
4
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
4
4
0
0
8
16
16
16
4
4
4
0
0
2
8
8
8
8
8
8
8
0
8
8
0
0
24
40
0
0
0
0
0
1
8
8
8
8
20
0
0
0
0
0
0
8
8
0
4
0
6
6
6
8
0
0
8
8
0
0
0
1
16
0
0
0
16
0
4
4
0
12
0
0
0
0
16
2
0
8
8
25
0
0
16
16
16
16
16
16
0
0
0
16
0
8
16
8
8
8
8
0
0
8
8
32
32
1
1
0
8
8
1
0
0
0
0
0
4
4
24
1
1
16
16
16
1
2
0
0
16
0
0
3
0
0
0
0
2
8
8
0
1
1
1
1
1
0
2
0
0
0
0
0
16
8
0
25
8
16
16
16
16
16
3
3
3
0
6
0
0
8
8
0
0
0
0
0
0
0
6
8
0
0
16
15
15
0
24
0
8
0
8
0
8
0
8
4
4
0
0
16
16
16
16
0
9
0
1
1
1
0
8
8
16
12
12
0
0
0
4
16
1
0
0
16
16
16
0
0
24
24
24
0
0
8
0
0
0
24
1
1
25
4
0
0
0
2
2
2
16
16
16
16
16
16
16
8
8
0
0
0
48
0
1
0
12
12
12
2
2
2
0
0
0
4
16
16
8
0
0
0
0
0
8
1
1
16
8
8
0
16
16
8
8
0
0
16
0
1
8
8
8
16
0
24
8
0
0
24
24
0
0
0
32
16
1
8
0
0
0
0
0
0
16
16
4
0
0
12
12
0
8
32
24
24
24
0
8
16
16
16
16
16
32
24
24
24
24
24
24
24
24
24
1
0
0
8
8
8
32
32
16
16
16
16
16
16
16
0
0
16
16
0
0
16
0
0
0
0
0
0
16
0
0
0
4
0
0
0
0
0
0
0
0
6
6
8
0
0
0
8
8
0
0
0
0
0
0
0
0
1
8
16
32
0
0
2
24
0
8
0
8
16
16
0
0
0
4
4
0
0
11
11
11
11
0
0
0
3
8
0
0
16
16
0
0
8
8
8
8
0
16
20
0
0
2
2
4
4
0
16
16
0
0
0
0
2
0
32
18
16
0
8
0
0
20
20
8
0
0
8
16
16
3
0
16
0
0
8
0
0
0
0
0
32
0
8
0
16
16
16
16
8
8
8
0
2
0
0
0
0
24
0
0
8
8
16
16
32
32
32
0
0
0
0
16
16
16
16
16
16
0
8
0
4
0
0
0
0
16
16
16
4
0
0
16
16
16
16
0
8
0
3
0
8
0
16
0
0
0
16
16
32
0
0
16
28
1
1
9
24
0
0
0
8
16
16
0
0
8
0
0
0
16
20
4
0
0
0
0
0
0
0
0
0
0
16
32
32
8
16
16
16
16
0
0
32
16
1
1
8
20
8
2
8
25
4
4
4
0
16
0
40
0
0
0
24
0
16
0
9
9
9
0
4
16
8
8
8
8
8
8
8
0
8
32
8
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
12
12
12
16
16
0
16
16
16
16
16
0
0
24
8
8
1
8
8
32
32
8
8
8
0
8
4
32
16
4
4
2
0
16
1
0
0
0
0
1
0
9
9
1
0
32
8
0
0
8
40
1
0
0
0
0
8
8
0
0
8
0
4
4
4
8
17
17
0
4
0
0
16
1
2
1
1
1
0
0
0
0
0
0
9
4
4
0
0
0
0
0
0
4
4
8
4
0
0
8
0
0
0
0
0
0
0
0
0
0
1
1
6
0
16
16
3
0
0
0
0
26
26
0
0
0
0
16
16
32
8
18
0
0
0
0
4
0
8
8
8
0
8
16
0
9
9
8
16
16
16
0
40
8
24
8
0
8
16
0
0
0
0
0
16
1
8
0
0
0
0
0
0
2
0
16
16
0
4
0
4
4
0
2
0
1
1
0
16
0
0
0
6
0
0
0
0
8
0
0
0
8
0
8
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
8
8
0
0
0
0
1
1
8
1
1
1
1
1
16
0
0
0
8
0
0
24
8
8
8
1
24
24
24
24
21
16
16
8
0
0
0
4
4
0
8
4
0
1
0
8
0
8
20
2
0
0
8
8
4
0
0
0
16
16
0
0
0
16
16
16
16
8
8
8
0
0
0
0
0
0
8
8
20
1
8
0
16
0
2
8
4
16
16
16
16
16
1
8
8
0
4
0
0
0
4
4
0
4
0
0
0
0
8
8
0
0
0
8
8
8
4
0
0
16
0
0
0
1
1
0
16
4
0
48
48
0
0
0
0
0
8
8
8
8
16
0
0
0
8
16
16
0
8
2
0
16
24
24
24
0
0
0
0
4
4
8
8
8
0
16
0
0
0
0
0
16
0
0
0
0
0
0
2
8
0
8
8
4
32
4
4
4
4
16
4
23
23
24
24
24
8
0
8
0
0
0
0
0
0
17
16
16
16
16
16
16
16
8
8
0
0
8
16
16
16
0
0
0
0
0
0
0
0
2
2
16
17
0
0
0
8
2
16
16
0
4
16
16
16
16
0
2
2
0
2
2
4
0
0
0
0
0
0
0
0
0
0
0
0
32
52
17
8
2
4
0
8
8
8
8
2
0
0
16
16
0
0
32
0
16
0
1
0
8
8
0
2
4
4
0
16
16
0
0
0
0
0
8
8
0
0
2
16
16
16
0
16
16
12
16
16
16
0
16
16
2
2
0
8
8
0
0
8
8
1
1
0
1
3
3
8
8
16
16
8
8
8
6
8
8
16
16
0
8
8
8
8
8
0
0
0
16
8
8
16
16
16
16
0
0
16
16
0
0
16
32
4
8
8
0
0
0
16
16
0
0
0
0
8
2
16
16
24
24
0
0
0
0
0
0
4
4
4
4
16
0
24
0
0
8
8
9
2
16
16
16
0
0
0
32
32
32
32
32
16
16
2
18
8
16
8
8
0
16
16
0
1
8
8
8
16
0
0
16
16
16
0
0
0
0
0
8
8
0
0
0
0
0
20
20
20
20
4
2
0
8
8
8
0
2
16
2
2
2
1
2
0
8
0
0
16
16
16
16
8
8
8
0
57
8
8
4
4
1
1
0
0
0
0
0
0
8
0
8
4
4
8
8
0
0
0
16
16
0
8
0
8
8
8
4
0
0
8
1
0
1
1
0
8
0
8
20
20
20
0
32
0
0
0
0
0
0
0
0
0
4
32
4
0
0
14
14
8
8
8
8
8
0
9
0
0
0
0
0
0
11
11
11
0
0
0
32
2
0
0
4
8
20
0
0
4
13
2
0
17
17
0
8
18
18
0
0
0
0
0
0
0
56
16
0
8
8
8
0
0
0
8
32
0
0
0
16
0
0
0
16
0
0
2
12
12
0
0
0
8
0
0
0
0
0
2
2
2
2
0
16
0
0
0
8
0
0
1
1
0
16
16
16
0
0
0
0
4
4
8
8
0
0
24
8
0
40
16
16
0
24
24
0
8
0
40
0
0
4
8
0
0
0
4
0
0
8
0
8
8
8
0
8
0
0
0
0
0
0
0
24
24
24
8
16
8
2
1
2
2
2
2
1
0
16
16
16
0
4
1
0
0
8
8
8
26
8
8
8
8
8
0
0
0
0
0
8
0
0
0
0
0
0
0
8
8
8
8
0
4
16
16
16
24
24
8
0
12
12
16
8
16
8
18
40
16
16
0
0
0
0
0
0
17
16
0
0
8
8
4
2
32
2
2
2
2
1
1
0
10
8
4
4
8
8
8
8
0
8
8
0
8
2
0
5
16
16
0
0
2
0
0
16
8
16
8
4
4
4
0
8
8
0
0
8
8
2
8
8
8
8
8
8
4
4
16
16
0
0
0
12
12
8
16
16
16
0
16
18
0
0
0
0
0
0
12
33
0
0
0
0
0
0
1
8
0
8
10
10
8
16
17
0
18
18
0
0
0
0
0
2
0
8
2
16
8
8
8
8
8
0
0
0
0
8
0
2
2
2
2
8
8
8
24
0
0
16
0
0
0
0
0
8
17
9
9
9
4
0
0
0
0
8
0
0
0
0
0
16
0
8
1
1
1
1
4
4
8
10
2
1
0
0
2
0
0
0
0
1
32
32
0
32
4
0
0
0
0
32
9
8
0
0
0
24
16
16
0
0
0
0
0
0
16
0
0
0
8
0
0
0
2
2
0
9
8
8
0
0
17
17
17
4
48
8
16
1
1
16
16
0
8
8
8
0
0
0
0
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
8
0
0
16
0
0
4
0
0
0
8
8
8
16
8
32
8
8
8
8
4
4
40
16
16
16
8
8
8
0
48
8
16
16
0
0
0
0
0
0
0
0
30
0
0
0
8
0
0
0
0
0
40
40
40
0
0
2
2
2
2
2
8
8
0
8
16
16
2
8
8
8
8
8
8
8
8
24
8
8
8
16
0
4
32
0
16
0
2
8
9
9
0
0
0
20
0
0
0
0
2
2
0
0
0
0
24
8
8
8
8
0
1
0
0
0
0
0
0
0
0
0
20
0
0
0
0
0
0
0
0
0
9
8
8
0
24
0
0
0
0
0
0
0
0
2
8
8
17
0
0
0
1
1
1
0
2
4
0
0
20
20
16
8
8
1
1
0
8
0
8
8
8
8
8
4
8
0
0
8
8
3
3
3
8
8
0
0
1
8
8
6
16
0
0
16
24
0
32
1
12
8
16
0
8
0
16
16
16
18
3
1
16
16
16
16
32
32
56
24
24
24
0
0
8
9
22
0
0
0
0
0
0
0
0
0
0
16
18
8
28
0
9
9
8
8
8
0
32
16
20
20
20
20
20
20
2
0
1
8
49
49
49
49
17
29
29
29
29
29
0
0
1
12
12
0
0
0
0
8
0
0
8
16
16
0
0
0
0
32
32
0
0
0
0
32
4
4
32
0
0
0
0
8
0
0
28
28
8
16
8
0
0
0
0
0
0
0
0
0
16
0
8
0
0
16
0
0
0
0
0
0
0
0
0
8
8
8
8
8
0
0
0
0
0
0
8
8
0
0
8
1
0
0
0
2
2
16
0
1
1
0
0
8
8
28
28
28
0
0
0
0
0
8
0
32
1
8
0
8
0
0
16
0
8
8
8
8
8
0
4
11
11
11
11
11
11
8
0
0
1
4
0
0
0
0
8
8
8
2
16
0
8
0
8
0
16
0
0
4
0
16
0
4
4
0
8
0
1
1
0
0
20
0
2
2
0
16
1
8
2
2
0
0
16
0
0
0
8
8
8
8
0
0
0
0
0
0
0
0
0
8
16
16
0
0
8
8
24
8
2
8
0
0
2
0
0
0
0
2
2
2
18
0
0
0
0
8
0
0
16
28
3
3
4
4
0
58
58
58
0
0
1
1
0
16
0
8
8
0
0
0
0
0
0
0
2
8
1
4
4
4
8
8
8
0
16
0
2
2
0
0
0
0
0
49
49
49
49
0
0
0
0
0
0
0
2
2
0
0
20
0
16
16
16
0
4
4
8
0
0
2
8
0
0
0
0
0
2
4
0
0
4
4
4
8
1
1
0
0
0
0
0
0
0
0
0
16
12
12
12
16
2
2
9
4
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
18
16
8
8
0
32
0
0
0
0
8
0
16
4
8
0
49
12
0
8
8
0
0
8
16
1
1
1
0
0
0
8
0
0
4
4
16
0
0
2
2
2
12
0
0
8
16
0
8
8
24
8
8
0
0
20
1
3
0
2
0
16
0
0
0
0
8
24
18
18
0
0
0
16
0
4
8
16
8
8
0
0
2
16
0
8
8
0
0
0
0
8
17
0
0
0
16
4
0
2
2
0
17
17
0
0
12
12
17
17
32
32
0
0
8
8
8
8
0
24
8
8
8
32
0
0
0
0
16
0
0
2
0
0
4
0
0
0
0
16
0
0
0
16
16
0
8
8
0
16
0
0
0
8
8
8
8
8
0
8
4
4
0
4
8
8
0
0
24
16
8
8
0
4
4
0
8
8
0
0
0
8
0
0
0
8
0
0
0
0
2
0
16
0
0
8
8
8
16
8
8
0
20
16
16
0
0
0
8
0
0
0
0
0
8
8
8
0
8
8
0
0
49
0
0
1
2
2
2
32
1
16
0
0
0
0
2
0
8
8
8
0
0
0
16
16
0
8
0
0
4
8
8
8
8
16
2
0
16
16
0
0
0
4
8
0
0
0
0
2
24
0
8
0
0
32
16
4
4
16
0
16
16
16
0
8
2
2
0
0
0
2
2
0
8
8
0
0
1
0
16
16
4
0
17
0
0
2
0
28
0
0
0
0
0
8
0
24
24
4
0
0
0
0
1
1
1
8
0
0
1
0
0
0
0
16
0
0
8
8
8
0
0
0
4
4
16
0
0
0
16
8
4
0
0
0
8
8
8
8
0
0
0
8
2
2
8
8
8
0
8
8
8
8
0
0
0
0
0
0
4
4
0
0
0
1
0
0
8
0
0
0
0
8
0
0
10
16
8
0
0
8
0
2
2
0
0
16
1
0
16
24
24
24
24
0
0
24
0
0
0
4
0
8
0
0
0
45
16
0
0
2
2
2
0
0
8
8
1
0
0
16
0
12
0
0
0
0
0
8
0
0
0
0
16
8
0
0
0
0
0
4
8
0
16
0
8
8
8
0
0
14
1
0
8
8
1
1
8
8
0
0
8
0
16
1
16
4
1
1
0
0
8
8
8
0
0
1
1
0
0
0
0
8
0
24
24
0
0
2
0
21
8
16
16
16
0
0
0
0
0
0
0
0
8
8
17
32
0
0
8
8
0
0
1
8
8
0
16
2
8
0
0
0
16
16
0
8
8
0
0
2
0
0
4
4
4
0
40
4
8
8
0
8
16
4
4
8
8
3
16
0
0
8
2
2
16
16
16
2
11
11
1
8
1
16
0
4
4
0
0
0
8
0
0
8
8
8
8
8
8
0
0
16
8
0
8
8
8
0
0
0
0
8
0
0
8
0
8
0
8
0
16
16
16
8
8
4
0
0
8
2
0
0
0
0
8
0
8
8
8
8
0
8
1
32
16
8
16
8
0
0
8
17
8
8
2
2
0
0
0
0
0
0
0
0
16
16
8
0
0
0
0
0
16
8
0
0
0
0
0
8
1
1
4
8
8
0
8
0
0
0
0
16
16
0
4
8
0
0
0
20
8
0
0
16
24
0
0
0
8
0
8
12
32
0
0
24
0
0
20
20
0
0
0
24
4
0
0
0
16
16
16
16
8
0
0
16
0
0
8
0
12
0
0
0
0
8
4
24
24
32
32
16
2
0
16
16
4
8
1
1
0
4
4
0
2
1
0
0
0
0
1
4
4
0
0
0
16
16
8
16
0
0
8
24
0
8
0
0
0
0
0
0
0
8
2
8
0
0
0
4
8
8
0
0
2
0
0
0
0
0
0
8
0
0
0
8
4
0
0
0
0
0
2
8
0
0
8
1
1
1
16
16
16
16
0
0
0
3
0
0
16
8
0
16
16
0
0
4
0
16
16
8
0
0
8
0
0
0
0
0
0
8
8
12
8
1
0
0
8
0
0
8
8
8
0
0
0
0
8
16
0
16
0
0
0
0
16
0
0
0
16
0
0
0
8
8
8
8
0
16
40
16
16
16
16
16
12
4
16
16
16
0
0
0
16
0
0
0
0
0
0
8
4
4
4
0
0
16
0
0
0
8
8
0
0
8
8
0
0
0
8
0
8
4
0
32
32
0
16
16
16
0
16
16
16
0
8
0
4
4
4
4
8
8
0
16
16
8
0
22
22
0
0
1
0
8
0
1
1
32
32
0
0
1
4
0
0
0
0
0
0
16
0
32
0
0
0
1
4
0
0
0
8
0
1
0
0
1
1
0
0
8
0
8
8
0
8
0
0
8
8
8
0
0
0
8
8
8
0
0
16
8
0
0
16
0
16
16
16
8
0
0
4
0
0
8
8
1
0
8
8
16
0
0
0
0
36
0
4
4
16
16
0
0
16
48
15
0
4
0
16
16
0
16
8
8
0
8
8
8
8
8
24
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
8
0
0
0
8
0
8
8
0
0
16
0
16
16
0
0
0
0
0
0
8
0
0
0
0
4
16
4
0
0
21
9
9
16
32
0
0
16
16
16
4
4
8
0
0
0
0
16
0
0
8
14
0
2
8
8
8
4
0
8
16
8
4
0
0
26
0
8
8
16
16
16
16
0
1
4
8
0
0
0
0
0
0
0
8
8
18
0
0
24
16
16
16
16
16
4
0
8
0
20
0
16
0
8
8
0
16
8
0
0
8
1
0
0
0
0
0
8
0
2
16
8
8
8
8
8
8
8
0
1
0
0
0
1
0
8
0
0
0
0
0
0
0
0
32
16
16
16
19
19
19
0
8
8
0
0
0
32
32
32
0
0
0
0
0
1
1
1
0
0
8
2
2
2
2
0
0
8
0
16
16
8
0
0
17
8
0
8
0
0
8
8
0
1
0
0
0
0
0
25
16
16
16
56
4
0
0
0
4
0
0
8
8
8
8
0
0
1
1
4
16
8
24
0
0
8
1
0
0
0
0
0
0
0
8
8
2
2
0
16
16
16
16
16
8
8
16
1
16
16
8
8
8
0
8
8
0
0
0
8
0
0
0
8
0
8
16
8
8
0
0
0
16
16
16
4
0
0
0
0
0
0
16
8
0
0
0
0
0
0
1
0
0
0
0
24
0
16
8
0
8
8
8
8
16
16
16
0
0
0
0
0
8
0
0
4
2
4
0
2
8
8
8
0
4
4
2
2
2
24
0
0
0
16
0
32
0
0
8
2
0
4
8
8
8
8
0
0
0
0
0
24
17
0
16
0
0
0
1
1
8
8
8
8
8
2
8
8
16
0
0
0
8
8
8
8
0
0
0
8
0
0
0
8
1
0
2
2
2
0
0
4
0
8
8
8
1
24
16
0
0
0
8
8
0
2
2
4
4
4
24
24
16
0
0
2
8
2
0
5
5
16
16
8
8
8
8
8
20
0
18
16
4
4
0
0
12
0
0
0
0
24
1
0
8
0
0
8
8
16
4
16
0
8
0
0
16
4
4
16
0
4
0
0
0
20
20
0
0
0
0
0
0
0
0
2
0
8
8
0
0
0
3
24
16
8
8
8
0
0
0
0
1
16
0
16
16
16
0
0
0
0
0
18
18
18
18
16
16
16
8
8
0
24
0
0
0
0
2
1
8
17
8
0
8
1
1
1
0
0
2
8
0
0
8
8
8
0
16
32
1
1
8
1
17
0
0
0
16
0
16
0
8
8
8
8
0
0
0
1
0
4
16
16
1
16
16
0
0
0
0
0
0
0
0
20
8
8
8
16
1
2
2
2
0
0
8
0
0
4
0
0
0
0
4
4
0
16
16
1
0
0
0
0
0
0
0
30
30
8
4
4
0
0
0
0
0
18
4
4
4
16
16
12
12
16
8
0
16
2
0
2
8
0
8
8
16
0
0
8
0
34
34
0
16
0
0
0
0
0
0
0
0
16
4
8
8
8
16
16
16
0
8
8
8
0
12
16
0
16
0
0
0
0
8
8
1
17
8
8
8
0
0
0
0
0
4
0
0
0
16
16
8
8
0
0
0
2
22
16
8
8
16
16
16
16
0
8
0
0
0
0
0
0
16
0
0
16
16
16
0
0
0
0
0
11
11
11
11
0
16
8
1
2
2
8
0
0
0
2
2
0
0
2
8
0
8
8
8
8
0
17
0
20
20
0
0
0
0
1
1
1
1
1
0
0
0
1
16
16
0
0
2
28
0
0
8
0
0
0
0
2
2
2
0
8
8
1
1
8
2
0
0
0
8
0
0
0
1
16
16
16
0
0
0
2
6
6
8
2
2
8
8
8
16
16
0
0
0
16
8
4
0
0
0
0
0
0
0
0
0
0
0
2
2
0
0
0
2
21
48
16
2
2
16
8
33
1
1
1
8
8
16
8
8
0
16
8
24
0
16
16
4
18
2
0
0
4
16
16
1
1
1
1
1
0
1
0
0
16
8
8
1
1
1
1
1
1
1
1
1
8
8
0
8
0
0
16
16
16
16
4
4
8
8
5
0
0
1
1
0
0
8
0
0
8
16
12
4
4
8
8
16
8
0
0
0
0
0
4
0
17
21
21
0
0
0
16
0
0
32
32
0
2
24
24
0
0
0
0
0
0
0
8
8
8
0
0
0
8
12
12
2
2
0
0
0
1
1
1
4
4
4
8
0
0
0
16
32
32
4
1
0
0
0
0
0
0
16
0
16
8
17
17
16
0
0
4
0
0
9
9
16
16
16
16
16
12
12
2
4
4
4
8
0
8
8
0
0
8
0
0
0
16
9
1
16
16
0
8
8
8
0
8
8
16
16
8
4
16
18
16
16
4
4
4
16
16
0
0
0
0
0
4
4
4
4
5
16
0
16
0
16
8
4
4
4
0
0
2
8
0
4
1
1
4
4
4
1
1
1
8
16
2
16
12
8
4
0
1
0
0
0
8
8
8
32
32
0
0
1
0
0
0
24
16
16
8
16
4
4
8
16
2
2
0
16
16
16
50
6
1
0
8
8
8
8
0
0
0
16
16
8
8
16
16
16
16
16
16
18
18
0
0
0
2
0
16
0
32
0
16
0
0
0
4
4
4
8
0
16
16
0
0
0
0
16
16
0
0
0
0
0
8
7
0
0
8
8
0
18
0
8
4
8
8
8
0
8
12
4
24
0
8
16
16
8
8
8
32
32
0
3
3
8
8
16
0
0
0
0
0
1
34
34
8
16
32
0
8
8
0
12
8
0
0
0
9
9
1
1
1
16
16
0
16
0
8
9
0
0
8
8
8
8
8
8
8
4
4
16
16
0
8
16
20
8
0
1
8
8
8
16
16
1
8
8
8
0
8
0
0
0
0
16
0
0
0
0
0
8
16
16
0
0
12
4
0
16
0
0
8
8
8
2
2
2
2
2
2
16
8
0
0
0
8
8
16
16
1
0
8
4
0
0
1
16
8
12
0
16
16
17
17
17
0
0
20
20
20
24
0
0
0
0
0
0
0
2
0
0
0
0
8
8
16
20
32
0
4
0
0
0
0
0
0
16
16
0
0
8
0
0
1
1
0
0
0
0
0
32
0
0
0
4
0
8
0
8
8
0
0
16
8
8
8
0
0
0
0
0
0
0
0
0
24
1
1
0
0
0
0
0
0
0
16
0
24
3
0
33
33
0
20
8
8
0
0
0
0
32
18
18
0
0
32
16
8
16
16
16
8
17
24
4
2
2
8
1
16
57
12
0
32
16
16
16
8
4
4
16
0
0
0
0
16
1
1
0
1
16
0
0
0
9
8
0
12
11
8
0
0
16
16
16
16
8
8
8
8
8
8
8
8
0
1
11
1
8
2
0
0
0
8
16
0
4
0
0
0
8
8
0
8
8
0
16
32
8
0
0
0
0
8
0
16
16
0
0
8
4
25
25
0
8
8
8
8
8
7
0
8
0
20
0
0
8
4
0
0
0
8
0
0
0
0
8
32
32
24
16
16
0
0
18
0
10
2
2
2
0
0
1
1
1
1
0
0
0
1
0
0
0
0
0
16
1
1
16
0
8
0
8
0
4
16
16
0
8
0
8
1
0
8
0
0
0
0
0
8
0
0
0
0
0
16
1
8
8
0
0
0
0
0
0
0
0
16
9
16
0
8
0
8
0
16
8
0
0
0
4
4
0
0
2
2
6
16
16
16
8
0
8
10
24
24
8
8
0
0
8
8
4
4
4
4
4
16
16
17
17
0
0
0
0
0
8
0
2
1
28
28
0
0
8
8
0
0
32
0
0
0
0
0
8
17
8
4
2
0
0
16
1
0
0
24
0
8
8
8
0
0
0
8
4
0
0
17
0
16
16
16
16
16
16
16
32
0
8
8
16
0
16
16
16
16
16
1
0
0
0
0
0
1
0
8
32
1
16
16
16
0
0
0
1
1
0
32
0
0
0
0
6
2
2
16
16
16
16
16
0
0
0
1
2
2
8
8
16
16
8
8
0
16
16
16
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
4
0
16
16
8
8
8
8
8
8
8
0
0
16
16
8
4
0
0
0
4
0
0
0
0
0
0
4
32
0
48
4
4
4
0
0
0
0
8
0
0
8
49
16
2
2
0
4
6
6
0
8
8
16
20
3
0
8
0
0
0
0
8
8
8
8
0
0
16
16
16
16
9
2
17
0
0
0
16
16
16
8
17
2
0
0
8
0
0
0
0
8
8
0
0
0
24
24
24
2
2
2
16
16
12
0
16
8
8
16
8
8
0
2
0
0
8
8
24
24
24
0
0
0
8
0
0
0
2
0
1
1
0
0
0
0
8
8
8
8
8
0
8
8
8
8
8
8
0
0
0
0
0
8
16
8
8
8
4
4
1
0
0
0
0
0
8
8
1
0
20
20
20
24
24
24
8
0
8
24
0
16
16
0
16
0
0
0
0
0
32
8
26
26
8
8
8
0
0
24
24
24
24
0
8
8
8
0
0
8
8
0
0
0
16
0
0
0
0
9
9
9
24
16
16
0
16
16
0
0
4
4
16
16
16
0
16
0
0
16
8
8
4
4
0
8
4
8
16
16
16
16
16
16
16
16
0
0
0
1
1
1
0
0
0
0
0
16
4
0
0
33
33
33
16
16
16
16
0
1
0
8
8
8
8
8
8
8
16
16
16
16
16
16
16
0
8
8
8
1
1
0
0
0
0
0
4
0
0
0
0
0
0
8
8
16
3
0
2
16
16
16
6
6
0
0
0
2
2
0
8
8
16
2
2
0
0
0
16
16
16
1
1
1
8
0
2
2
2
2
2
2
2
2
0
8
0
0
34
34
34
34
34
8
0
16
16
16
4
0
0
0
0
0
0
8
2
2
16
16
16
16
16
8
0
0
0
1
0
0
0
32
24
33
8
0
0
0
8
0
0
16
16
32
0
0
0
0
0
0
16
0
0
6
0
4
1
0
0
0
0
0
0
0
0
0
0
24
0
0
0
8
0
0
0
8
0
16
0
8
0
4
32
8
0
8
16
0
1
20
20
20
20
20
20
0
0
8
0
1
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
12
1
16
16
4
8
8
8
0
0
8
8
8
8
2
16
16
8
8
25
1
1
16
16
0
4
8
2
4
2
2
0
17
16
16
4
0
0
0
16
8
0
16
16
9
16
16
16
9
9
9
4
0
0
0
0
16
16
16
8
4
4
4
20
20
20
8
0
0
2
2
2
1
1
2
8
8
8
16
0
24
24
24
24
16
16
16
16
0
0
0
0
8
0
8
8
16
16
4
4
8
20
0
0
0
0
0
16
0
37
0
16
0
0
0
16
0
0
0
8
8
20
0
0
0
0
8
8
8
32
32
33
4
4
0
0
0
16
0
0
0
8
1
1
4
2
2
0
16
0
0
8
8
0
0
0
1
8
4
8
4
4
0
16
16
0
0
16
16
0
0
8
2
2
2
8
8
16
0
1
1
0
0
20
16
16
16
18
12
0
0
24
4
4
4
16
16
16
16
16
4
8
0
8
8
0
26
24
2
2
8
0
0
0
1
1
16
16
16
0
0
0
0
0
0
0
0
0
0
0
4
4
4
8
0
8
0
0
0
0
2
0
16
0
0
8
0
0
0
2
8
8
0
0
8
8
0
0
8
8
2
0
1
16
16
0
16
0
0
0
0
0
8
0
0
0
0
0
0
0
4
4
4
4
16
10
10
8
17
17
0
25
25
25
7
8
49
0
8
16
0
16
8
19
8
8
4
10
36
36
16
0
0
0
2
2
0
0
0
0
0
0
0
16
16
50
24
16
16
16
4
16
8
8
8
0
0
8
8
8
8
16
0
1
2
2
8
8
16
16
0
0
0
0
16
0
0
12
2
0
0
36
0
0
12
12
12
0
8
8
8
8
8
4
4
9
9
9
0
0
0
0
0
0
24
0
1
0
0
0
2
2
2
8
26
26
8
8
8
24
24
24
0
0
32
4
4
4
4
16
16
16
16
16
8
0
1
1
0
1
4
4
41
41
2
2
16
2
0
2
16
16
0
14
14
0
8
1
0
0
0
4
1
1
0
0
8
1
1
8
0
22
1
1
1
1
1
8
8
16
8
0
8
12
8
0
0
1
16
16
16
8
0
0
0
1
1
8
2
0
16
20
16
4
8
0
0
0
16
16
16
12
12
12
0
8
0
8
8
16
1
1
1
0
16
0
8
16
4
4
1
8
0
0
8
8
4
4
4
4
8
8
8
8
8
8
16
0
6
6
6
8
0
4
0
16
16
0
0
0
4
0
0
0
1
0
0
0
0
0
16
16
0
16
0
0
0
0
0
0
0
16
0
0
2
2
2
2
2
16
16
8
32
32
32
1
1
0
0
0
0
0
0
0
0
0
0
8
8
0
0
8
8
8
8
16
0
0
16
24
24
16
16
16
16
16
2
32
0
8
0
0
1
1
0
0
0
8
8
8
8
12
12
12
0
16
3
0
16
16
16
8
8
8
8
32
16
16
40
40
0
16
0
0
0
0
0
0
0
0
16
16
0
0
0
8
8
16
8
32
32
8
16
0
0
21
0
8
0
0
12
0
0
0
49
49
49
16
16
16
12
28
32
4
4
0
0
0
7
18
18
16
2
2
8
16
32
8
16
1
1
8
8
8
4
4
8
16
16
0
0
16
16
16
0
2
0
0
8
16
16
0
0
0
0
0
0
0
0
0
0
0
32
8
0
0
0
0
8
0
8
2
2
2
0
0
0
0
25
25
25
25
25
1
1
1
0
0
0
0
0
0
0
0
4
4
0
8
8
0
1
1
12
8
0
0
0
0
0
0
0
0
0
0
18
16
16
1
4
4
4
0
16
0
16
17
17
0
16
16
16
8
8
0
16
16
57
16
16
16
16
16
16
0
8
24
0
16
24
24
0
9
9
8
0
0
0
0
4
4
1
8
0
8
8
8
0
0
0
0
1
1
0
0
0
0
0
0
32
18
8
0
0
0
0
16
16
16
32
32
8
0
0
0
32
0
8
0
0
4
0
0
0
0
0
0
4
0
0
3
8
0
0
0
0
8
0
0
0
0
0
9
16
4
4
4
0
16
16
16
32
4
4
4
0
0
8
8
0
1
1
1
2
13
13
20
20
0
16
16
0
0
0
16
8
8
1
0
0
0
0
0
0
0
6
0
0
0
0
0
0
0
0
8
0
16
16
0
8
8
8
2
16
0
0
0
0
0
0
8
8
16
2
16
16
16
16
0
8
8
0
0
8
24
16
16
33
32
2
2
16
18
0
1
0
0
22
16
16
16
0
16
19
19
0
0
2
2
32
32
32
32
16
0
0
0
8
0
0
0
0
0
0
0
0
8
32
0
0
8
0
16
16
16
16
16
16
0
33
33
33
33
8
0
4
0
9
9
9
9
8
0
4
0
8
0
0
0
8
8
3
0
0
0
0
16
0
0
0
32
8
8
8
8
8
8
0
0
32
8
8
8
8
1
1
0
0
8
0
0
0
0
9
16
16
16
8
2
1
8
8
8
16
0
0
0
4
0
0
16
0
8
0
4
4
0
17
4
0
2
9
8
8
16
0
0
8
8
0
8
8
8
16
4
4
4
24
24
0
0
4
4
4
4
2
0
41
1
1
1
8
0
0
0
0
0
0
0
0
16
16
8
8
8
0
8
8
8
16
8
8
8
0
16
16
8
0
32
0
16
16
4
0
8
8
16
1
1
1
2
2
32
0
4
4
16
0
0
0
0
0
17
24
8
1
8
25
0
0
2
0
0
0
0
0
0
0
8
0
30
8
0
8
0
16
0
30
30
30
30
30
30
30
0
4
16
0
0
2
2
0
0
0
0
0
0
40
40
0
0
0
9
9
9
16
0
0
0
0
0
36
4
4
4
4
0
0
8
16
8
16
16
16
0
0
0
0
0
0
2
8
8
8
8
0
24
24
8
8
8
8
56
16
24
24
0
16
16
16
16
16
16
20
0
0
0
32
8
4
0
20
2
2
2
2
2
0
0
0
0
8
8
25
0
0
0
4
4
4
0
4
0
16
0
0
0
8
0
0
8
1
0
16
0
16
0
0
8
8
8
8
8
8
8
8
1
8
8
8
24
8
16
17
0
8
0
0
16
16
16
16
8
18
18
0
16
2
16
8
1
0
0
0
8
8
8
1
16
0
8
0
8
8
8
24
0
16
8
0
0
0
0
0
0
0
0
16
4
0
0
16
0
8
4
8
16
8
5
4
4
2
2
2
16
0
16
4
4
8
4
8
8
0
2
16
25
8
8
8
8
1
16
16
16
0
1
8
4
9
16
16
16
4
16
0
0
0
0
0
0
0
2
2
16
8
8
0
0
0
0
8
2
8
8
16
16
16
16
16
8
0
0
0
0
0
8
18
18
0
24
24
24
0
16
18
8
17
17
0
16
8
28
28
28
8
8
8
0
0
0
0
0
0
0
16
16
0
8
8
8
8
8
8
0
0
0
4
4
1
16
16
8
8
4
32
32
32
0
0
0
0
2
0
8
2
32
32
4
16
0
0
0
0
2
0
8
0
0
1
2
2
2
2
24
1
1
0
0
0
0
8
0
1
0
8
24
6
6
16
16
32
0
0
8
8
8
8
2
16
1
0
0
4
0
16
16
0
0
32
32
16
16
0
0
0
0
0
8
16
0
8
8
8
8
11
8
8
40
0
0
0
0
0
8
4
0
4
0
32
0
8
8
8
8
16
0
8
8
0
2
0
0
0
0
16
0
0
0
0
0
0
0
0
0
8
24
0
0
8
8
40
1
40
24
16
8
4
4
4
4
16
16
16
8
0
16
16
16
8
0
0
0
0
0
0
0
0
0
0
32
32
0
0
0
0
0
8
12
12
0
8
8
8
8
8
8
8
0
0
0
0
0
20
20
20
8
32
32
0
8
8
8
0
0
8
17
17
16
0
0
17
17
17
16
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
2
8
8
8
0
8
32
8
0
8
59
59
16
16
16
0
16
0
0
1
12
12
12
12
8
4
4
4
4
4
4
4
8
0
0
0
8
2
0
0
1
0
0
24
0
0
0
0
0
8
8
4
0
16
16
32
0
0
20
0
0
0
0
0
0
8
4
4
8
0
1
0
0
2
0
16
16
0
0
4
16
16
0
16
8
10
0
8
8
16
16
16
1
8
0
8
8
0
8
8
24
24
0
8
8
16
0
0
16
0
0
0
19
16
16
16
0
8
4
24
24
0
0
2
2
0
0
16
0
8
0
0
0
0
0
8
1
1
4
4
32
16
16
16
0
17
26
26
26
0
0
0
0
0
16
32
0
1
0
16
16
8
8
41
41
0
0
4
8
16
16
16
8
8
8
0
8
2
0
16
16
0
0
8
16
20
8
24
32
32
32
32
32
0
1
0
0
0
0
8
0
0
0
32
32
0
8
0
0
24
0
20
20
16
4
4
4
1
0
0
0
0
0
0
1
1
1
1
1
16
0
2
8
8
0
0
1
1
1
1
0
0
4
8
8
0
0
0
8
0
0
0
0
16
16
8
8
0
1
1
0
0
0
36
4
0
0
8
0
20
0
1
0
0
8
4
4
4
8
0
0
0
1
1
16
16
8
0
16
0
0
8
4
4
2
0
16
4
8
16
16
16
0
16
16
8
9
9
8
8
8
8
8
12
12
0
0
20
20
0
0
0
0
8
0
0
0
0
0
48
16
2
0
16
16
0
0
0
8
16
16
0
0
0
0
0
8
2
2
0
2
2
2
16
16
8
8
2
4
0
4
4
20
0
0
0
0
0
23
23
0
0
8
0
0
0
24
0
0
4
0
0
8
1
16
0
0
8
16
16
16
0
0
32
32
8
0
1
1
0
0
0
0
0
16
1
27
8
8
8
32
32
1
8
0
24
16
4
4
0
8
8
8
0
0
1
0
0
9
16
16
16
32
0
0
8
0
0
8
9
9
9
9
9
9
9
4
4
4
8
16
2
2
2
0
6
1
8
0
0
16
16
1
8
8
0
8
8
0
16
0
0
16
16
16
0
0
0
0
0
16
4
4
4
4
0
8
0
0
0
0
0
0
0
0
8
0
0
0
16
16
49
0
0
0
0
0
1
1
4
8
8
0
0
1
0
0
0
0
0
9
0
0
20
16
17
0
8
4
0
16
16
16
4
32
32
2
0
0
0
32
0
0
0
8
4
16
0
0
16
16
16
16
0
0
24
0
16
16
16
16
2
2
2
8
8
16
0
8
4
0
2
2
1
16
16
0
0
0
32
32
32
8
24
24
24
24
24
24
16
16
8
8
1
16
8
8
8
8
8
16
16
8
26
26
26
16
8
18
30
0
0
0
0
0
4
0
8
0
16
16
16
9
18
18
18
18
8
0
0
0
2
0
0
4
0
0
0
0
8
0
0
0
0
0
16
16
16
18
18
49
49
49
49
8
32
1
24
8
16
4
16
16
8
0
0
2
0
8
8
8
8
4
4
0
0
0
0
0
8
0
8
8
8
1
16
16
8
16
16
0
0
0
1
0
16
16
0
8
16
25
0
0
0
16
32
3
0
4
4
4
0
0
16
16
16
0
16
32
16
16
0
0
0
0
32
12
12
16
16
16
0
0
8
0
0
0
0
0
0
0
16
4
4
4
0
0
16
16
1
0
0
0
0
0
0
0
0
0
0
0
1
16
0
16
8
8
8
8
0
8
14
0
0
0
16
4
0
0
0
0
0
0
0
16
16
8
8
2
8
8
8
8
4
4
4
4
4
12
12
1
0
16
0
2
2
0
0
8
8
0
0
1
8
8
0
0
0
0
1
16
16
0
0
0
8
8
0
8
8
8
8
0
0
16
0
0
0
0
1
16
0
0
0
0
16
0
16
0
0
0
0
0
0
24
24
8
8
8
12
12
12
16
16
49
49
49
0
26
18
0
0
0
0
20
0
0
0
1
1
0
0
0
0
0
8
8
0
0
0
0
16
8
24
8
8
16
16
16
2
0
32
0
0
16
8
8
16
16
0
0
0
8
8
0
0
2
2
0
0
2
8
8
0
0
0
8
8
0
16
8
8
0
0
0
8
0
0
8
2
0
0
0
0
0
8
8
4
4
0
0
20
20
20
8
0
0
8
0
0
0
20
20
25
9
9
0
0
17
4
16
16
0
16
16
16
16
13
8
8
16
0
0
0
0
8
0
0
0
0
0
0
0
0
1
8
8
0
0
8
16
0
8
8
0
4
0
0
8
8
0
0
0
1
0
8
0
0
0
16
8
8
32
32
24
24
8
8
8
8
4
4
8
8
8
8
0
0
0
1
1
0
0
7
7
8
8
8
8
40
8
8
0
2
2
2
2
16
16
16
0
0
0
8
24
0
16
16
16
8
8
8
8
16
0
4
4
8
1
16
16
4
4
32
25
8
8
8
8
0
16
0
4
4
4
0
0
0
0
0
0
0
4
0
0
16
16
1
4
4
0
8
0
1
0
2
8
8
0
0
0
8
0
1
16
16
8
1
0
0
8
8
2
2
2
0
23
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
2
2
18
18
0
8
0
8
8
0
0
14
16
0
0
2
2
0
0
0
0
0
0
0
8
16
16
0
0
8
1
1
0
4
24
24
24
24
0
8
8
8
8
0
0
0
0
0
8
0
4
4
16
16
16
16
16
16
0
4
0
8
8
8
0
20
20
1
8
0
0
0
0
24
0
4
4
0
16
8
8
8
0
16
16
0
4
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
8
8
8
0
4
22
22
22
22
22
22
0
0
8
0
8
8
8
8
8
8
8
8
16
0
4
8
0
8
1
0
1
1
16
8
1
1
1
6
16
0
0
0
0
0
0
0
0
2
2
2
2
0
0
0
0
0
0
0
0
0
4
0
0
8
0
0
4
8
8
33
33
16
16
16
8
8
0
16
16
16
1
0
2
1
8
0
0
16
16
16
16
4
4
4
4
8
0
0
0
2
8
8
8
8
0
4
4
4
4
4
4
4
32
0
0
0
4
0
36
0
8
2
2
2
2
2
16
16
16
32
24
24
24
24
24
0
0
0
8
1
1
0
16
0
0
0
0
8
8
4
1
8
8
8
0
16
16
0
0
0
0
8
8
8
24
24
24
0
0
0
8
0
0
0
2
2
2
2
2
2
2
23
8
16
16
16
16
16
0
0
0
0
0
0
4
24
16
0
0
16
16
0
0
0
0
0
0
0
0
0
8
8
16
0
0
4
0
0
8
0
0
4
2
32
16
16
16
0
8
1
0
8
0
0
8
8
16
0
22
8
8
8
8
0
0
16
16
0
18
0
0
0
2
8
17
6
0
0
0
0
16
0
0
0
8
8
1
4
0
8
8
4
0
0
8
24
24
24
24
0
2
0
0
0
1
1
0
0
0
0
0
0
4
0
8
18
16
32
8
8
8
0
0
8
8
16
0
4
2
2
0
0
0
0
0
0
4
16
40
40
40
0
0
0
0
0
8
8
8
16
1
8
0
0
8
0
0
16
0
8
8
0
16
2
16
2
0
8
8
8
8
8
0
4
4
4
8
8
10
1
1
1
0
0
28
48
18
18
24
0
0
0
1
16
0
4
4
0
0
0
24
8
8
1
16
8
0
8
1
1
8
9
24
1
1
1
8
16
0
0
8
0
0
0
4
0
16
16
2
16
8
0
40
40
40
16
16
40
40
0
8
8
0
16
0
1
1
1
0
0
2
2
0
16
40
16
8
8
20
8
0
0
8
8
10
10
10
10
0
0
16
16
0
0
0
0
0
16
16
8
5
5
5
0
0
0
8
8
0
0
0
0
16
16
16
0
8
8
24
0
8
8
1
18
8
0
0
0
0
8
16
16
0
6
0
0
0
32
8
16
8
22
0
24
24
0
0
16
0
24
0
2
8
8
0
16
1
0
0
0
8
8
8
0
0
0
0
1
16
16
8
8
16
0
16
16
8
8
8
0
0
0
0
0
0
0
8
8
8
16
16
8
0
16
0
0
16
0
0
0
16
8
8
0
0
16
16
16
0
0
0
20
20
8
2
0
0
2
16
0
16
8
8
0
0
0
0
8
8
9
4
4
4
0
0
4
0
0
0
0
8
8
0
2
2
0
2
1
1
1
0
0
0
16
16
16
32
16
16
0
9
9
9
1
1
8
8
8
0
0
8
16
4
0
1
0
0
0
32
0
0
0
0
32
32
32
16
0
16
16
8
4
4
4
4
4
4
8
9
32
16
0
0
4
1
0
0
1
16
16
32
32
1
0
8
0
16
16
16
0
2
8
0
8
8
8
0
0
0
0
0
0
0
0
0
0
4
4
4
0
0
0
16
0
8
0
0
16
8
8
0
0
16
0
16
16
8
0
0
1
0
0
0
16
16
16
16
16
16
16
2
2
4
4
4
0
16
16
32
4
16
8
0
8
0
0
0
0
13
13
0
0
0
16
0
8
0
0
0
0
0
8
0
0
8
12
8
0
0
0
0
1
0
0
0
8
0
0
0
16
16
0
0
0
16
0
1
1
0
8
8
2
0
0
8
0
4
4
0
0
0
2
0
4
0
0
0
0
16
16
16
8
8
17
0
0
0
0
0
16
0
32
0
0
0
8
8
16
16
0
8
16
8
10
32
8
8
16
0
4
4
16
16
16
24
24
4
24
18
0
0
0
0
4
0
16
0
0
0
22
16
8
4
0
8
4
4
0
28
16
20
20
0
0
0
8
0
0
0
32
0
0
0
0
8
8
0
16
0
0
0
16
0
10
6
2
0
8
8
8
0
0
0
0
16
16
8
8
8
5
5
2
16
16
18
18
18
18
1
8
16
1
0
0
0
8
1
1
2
16
0
0
0
0
12
0
0
0
0
0
0
16
16
16
16
4
10
0
0
24
0
16
0
16
0
0
0
4
1
16
16
16
0
16
16
16
0
24
8
0
0
0
0
8
0
16
0
0
0
0
24
24
0
0
0
0
0
0
0
0
16
16
16
0
8
0
4
4
0
0
4
45
45
45
4
4
4
4
4
32
32
32
16
16
0
16
0
10
8
0
0
1
4
4
8
8
8
0
16
16
16
16
16
1
1
0
0
8
16
0
0
0
1
0
14
14
14
4
4
16
0
16
16
16
16
16
0
0
1
8
2
0
0
0
0
32
16
8
8
8
0
0
8
8
8
16
8
8
4
32
32
32
32
32
32
24
24
24
6
16
0
0
1
8
8
16
16
16
16
0
0
0
1
8
16
16
16
0
0
0
0
0
0
0
8
0
0
0
25
8
0
0
0
8
8
8
0
8
8
8
8
8
8
8
16
16
5
10
10
0
0
0
0
8
8
16
0
4
4
1
24
8
8
26
0
16
0
0
0
24
20
20
0
0
0
0
16
0
0
8
0
0
0
12
0
16
16
0
0
34
1
0
32
0
0
0
16
16
16
0
0
40
0
8
1
0
8
8
0
16
1
0
0
8
16
16
16
16
16
0
32
17
17
0
8
8
49
16
16
16
1
16
22
0
16
2
16
16
16
4
18
24
16
16
16
8
0
0
0
18
2
16
44
8
16
2
16
8
8
8
4
8
0
8
8
8
4
8
16
16
8
8
8
0
0
0
0
0
8
0
0
0
0
0
0
9
24
0
0
8
8
8
8
8
8
8
8
0
32
2
2
2
0
0
0
8
0
0
0
0
0
0
8
42
0
0
0
16
16
16
24
24
12
8
16
0
0
0
1
1
8
8
8
8
1
0
4
4
0
3
16
0
0
17
17
17
36
36
0
0
8
8
4
4
0
0
0
0
4
2
2
0
17
17
0
0
1
0
0
0
2
2
8
32
0
16
16
0
8
8
8
8
8
8
8
40
16
0
0
0
0
0
1
16
16
16
16
16
4
8
0
0
40
8
0
0
0
4
0
8
8
0
0
0
0
0
0
6
6
6
6
17
8
0
0
0
12
16
0
1
1
1
0
6
4
0
0
16
8
16
16
8
0
8
0
0
16
8
16
16
16
16
0
0
0
0
16
0
0
16
16
16
16
16
1
0
0
8
0
8
8
4
4
60
0
16
8
9
9
8
0
0
0
0
8
4
8
8
16
16
16
16
16
0
0
0
0
8
8
8
0
0
0
0
8
4
4
4
4
0
0
0
49
16
8
8
8
8
8
0
4
4
4
4
4
4
6
16
0
0
0
1
16
0
0
0
0
0
0
0
0
8
8
32
8
0
20
8
8
0
0
0
0
18
0
3
3
8
2
2
32
0
0
16
16
1
56
56
56
24
24
0
0
1
16
8
1
1
1
57
0
0
0
16
16
16
0
16
2
2
0
0
0
16
16
4
0
8
8
16
16
16
16
16
16
8
0
0
16
16
2
16
16
16
4
4
16
1
0
0
0
0
0
0
16
16
0
0
0
0
8
16
1
32
16
8
0
24
0
0
0
16
16
16
16
16
0
0
8
8
0
8
8
0
0
16
8
0
8
0
0
0
0
8
0
0
2
14
16
16
0
8
0
9
9
9
32
0
0
8
2
2
2
2
2
2
2
0
0
0
0
16
16
8
8
8
16
16
16
8
0
4
0
0
0
32
32
32
0
0
0
0
0
16
16
0
0
18
0
0
0
24
24
24
24
24
24
0
16
16
0
0
16
0
0
32
8
16
4
4
2
0
0
0
16
8
4
4
17
1
8
8
16
0
0
0
0
4
16
16
8
0
0
0
2
0
0
16
16
16
0
0
0
0
0
0
0
0
0
1
8
0
8
0
8
8
0
0
0
16
16
8
8
0
9
0
8
2
8
0
16
45
8
16
8
4
4
8
0
0
0
0
0
0
0
0
8
8
8
8
32
0
0
0
0
0
15
16
16
16
17
0
16
16
16
0
0
0
0
0
2
8
36
0
0
8
16
8
16
0
0
0
0
16
16
0
32
4
0
4
16
0
4
4
4
0
0
1
0
0
0
0
16
8
0
0
4
0
0
2
0
2
1
1
16
16
16
0
0
0
0
8
16
2
0
16
8
8
8
0
0
1
8
8
0
4
16
4
4
16
12
12
16
32
16
2
0
0
0
0
0
0
8
8
8
1
0
0
0
0
4
0
0
8
0
16
8
40
0
12
0
16
8
12
0
8
0
0
0
0
0
0
0
16
16
1
0
0
0
0
8
0
1
1
0
0
16
8
8
0
0
16
0
16
0
0
0
0
0
0
0
1
4
4
8
8
8
0
0
17
17
17
0
0
0
0
4
0
0
8
0
0
0
0
0
16
1
0
0
0
0
0
1
0
0
0
0
0
0
1
0
16
4
16
0
8
12
0
16
0
0
5
4
4
4
0
30
30
0
0
8
0
0
0
0
18
32
32
32
32
32
16
17
8
0
0
0
0
0
8
0
24
24
24
24
0
8
0
4
4
4
1
0
8
0
16
0
0
0
8
8
16
0
0
0
0
4
4
4
0
8
2
24
16
2
16
0
0
0
0
0
4
4
4
16
16
0
0
32
16
1
4
8
0
0
8
8
0
8
16
1
25
25
25
8
8
0
0
0
0
8
0
0
1
1
0
1
0
0
22
4
16
16
0
8
8
16
16
8
8
8
8
16
16
2
2
0
16
16
16
16
36
0
1
8
9
9
0
8
16
16
16
0
48
48
8
16
0
9
8
8
0
16
16
0
0
0
0
0
0
8
8
0
0
0
4
16
0
0
0
50
50
50
8
0
16
16
16
32
32
16
0
21
21
21
1
1
0
0
0
0
2
16
2
1
0
8
0
4
2
16
16
0
1
8
0
1
1
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
8
0
0
0
0
1
16
16
8
0
8
0
0
0
0
0
16
16
18
24
0
8
16
0
16
6
0
0
0
0
8
8
0
0
0
0
0
0
8
8
1
27
0
0
12
1
2
5
5
5
5
5
8
16
16
0
0
8
0
0
0
0
8
16
0
16
0
8
0
1
8
8
8
32
32
8
0
0
24
16
16
0
12
0
0
8
0
0
0
0
8
0
0
0
0
0
0
4
4
4
0
0
16
4
24
24
16
16
8
30
30
2
4
4
4
4
4
4
0
0
16
16
2
16
16
16
0
0
0
2
16
0
0
16
16
24
16
8
8
8
8
8
0
0
0
0
8
2
2
4
0
1
1
1
0
0
0
48
0
0
0
8
16
8
2
8
16
16
0
0
16
32
8
0
8
0
0
26
8
0
0
0
16
16
16
16
1
1
1
0
0
16
8
8
16
0
0
8
8
0
0
16
16
0
0
8
16
16
51
51
0
0
0
0
0
26
0
24
24
1
0
4
4
33
2
16
0
16
16
12
16
2
8
0
0
4
4
4
4
16
24
0
0
0
0
0
0
0
0
0
4
4
16
16
8
0
0
8
8
0
0
16
8
0
9
16
16
8
0
0
8
0
0
0
8
8
0
0
0
0
0
0
36
0
0
8
2
2
0
16
16
0
0
1
17
0
0
26
8
0
0
0
5
24
16
0
8
8
2
0
0
5
5
5
0
0
1
0
0
8
16
16
16
4
0
8
8
0
0
8
8
8
0
0
2
16
0
0
0
24
16
8
32
0
40
40
40
8
24
0
16
0
0
0
0
0
0
0
2
2
12
12
12
0
0
0
0
20
8
8
8
8
16
16
16
16
0
40
0
60
32
32
0
4
4
2
2
1
1
0
0
17
12
12
0
8
10
0
16
0
8
0
4
16
8
0
8
16
0
0
0
0
0
0
0
20
20
16
0
0
0
0
8
8
8
0
0
8
16
16
32
0
0
0
16
16
0
0
4
8
1
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
32
32
32
32
32
16
16
0
16
8
0
0
0
8
0
0
8
0
8
0
16
0
0
32
32
16
16
0
0
0
0
0
20
20
20
20
20
0
0
8
8
16
16
5
0
4
4
8
8
0
0
0
16
0
0
0
0
8
8
8
4
16
2
0
0
0
0
0
0
8
8
0
0
0
16
16
16
9
9
0
0
0
0
0
0
0
16
18
18
18
0
8
8
16
18
16
0
0
0
16
0
16
0
0
1
0
0
0
8
2
0
16
8
4
0
0
0
4
1
0
0
0
0
0
0
17
17
1
1
0
0
0
8
0
8
8
8
8
0
0
0
8
4
4
0
1
1
3
3
3
0
0
0
1
0
0
0
1
16
0
0
0
0
0
8
8
32
0
16
1
1
0
1
8
18
0
0
0
0
8
0
17
17
24
0
12
12
32
4
0
0
0
0
0
0
16
33
33
33
8
8
16
8
8
4
35
0
0
4
16
0
0
0
24
24
24
24
24
12
0
4
4
0
0
0
8
8
0
0
0
0
0
0
9
9
0
0
8
8
8
2
2
20
20
0
0
0
0
16
16
0
0
12
16
0
0
1
8
8
8
8
8
8
0
8
1
2
2
8
8
0
0
0
0
16
16
0
0
4
8
0
0
0
0
4
4
0
0
0
0
8
8
1
16
16
16
8
8
8
0
0
0
16
0
0
8
2
8
8
8
16
0
0
0
0
0
0
2
0
0
0
0
8
8
16
16
16
0
0
0
0
0
0
8
16
0
0
0
0
0
0
0
0
2
4
4
4
4
16
16
16
16
2
43
4
4
0
0
0
0
0
16
16
16
20
4
8
0
0
0
0
0
0
8
8
0
0
0
0
8
8
8
24
0
4
0
0
16
1
1
6
17
17
17
0
0
0
32
32
0
0
24
8
8
16
0
0
8
8
0
8
16
16
16
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
2
26
24
24
24
16
16
24
24
24
16
0
16
0
8
8
0
0
4
0
0
0
0
0
6
16
8
8
8
16
0
0
0
0
0
8
8
4
8
8
0
0
0
3
3
3
0
0
0
16
16
16
0
4
0
16
4
8
8
8
2
0
0
0
24
8
8
0
16
16
0
32
8
0
10
10
8
0
8
24
24
0
0
0
0
0
0
0
0
0
0
0
16
16
16
0
0
8
2
16
25
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
16
16
1
0
1
32
32
16
8
8
0
8
8
8
8
0
0
0
0
10
12
12
12
0
0
16
13
0
16
16
0
0
4
16
2
1
8
8
8
8
16
8
8
0
0
0
16
16
0
4
0
8
2
4
4
16
0
0
0
1
0
0
0
16
0
0
0
0
24
0
0
4
40
8
8
8
1
1
0
8
4
16
2
2
16
8
2
16
0
0
4
4
4
16
4
4
4
0
0
0
0
0
0
0
0
0
0
8
8
8
0
16
16
0
12
12
0
16
16
2
2
4
8
8
8
8
8
0
0
0
8
0
0
0
0
0
2
8
0
0
12
2
2
0
0
0
1
1
8
8
16
2
8
8
8
8
8
2
2
0
9
0
16
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
2
2
2
20
0
0
0
0
4
4
0
0
8
32
0
16
16
0
0
0
8
8
0
1
0
24
20
0
16
0
0
0
16
0
0
2
2
0
0
1
2
32
8
8
0
0
0
0
0
3
4
0
0
0
1
14
8
8
0
0
0
32
32
32
0
8
16
1
0
8
16
8
8
0
0
0
8
0
0
12
7
20
32
32
1
0
0
0
8
0
0
0
1
1
1
8
8
16
16
16
24
8
1
4
0
4
16
0
0
8
0
2
0
0
0
0
9
9
9
9
0
0
8
8
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
1
0
8
8
0
1
0
0
0
4
4
1
1
1
16
16
28
28
28
28
12
12
16
8
1
24
0
0
0
0
0
0
0
0
0
0
8
0
0
24
0
0
8
25
25
0
0
0
0
0
8
8
0
0
8
16
17
0
4
4
4
4
10
10
0
24
24
40
8
4
4
8
8
8
8
16
0
0
2
2
2
2
0
8
13
2
1
1
16
16
1
4
4
2
0
0
0
24
8
2
0
0
0
0
8
8
0
16
16
16
8
8
8
8
0
4
0
1
1
1
1
0
8
8
16
8
8
40
12
0
16
0
0
0
0
0
0
0
0
32
0
8
8
8
16
4
16
16
16
16
16
16
16
16
16
16
0
8
1
0
0
0
0
0
0
0
24
24
8
8
8
12
18
18
18
0
0
0
0
8
8
0
8
8
0
8
0
0
16
0
0
0
0
0
0
0
4
8
0
8
8
0
0
0
0
0
16
16
16
16
16
16
16
8
8
8
8
8
0
0
0
8
1
8
8
1
8
8
8
8
8
8
0
0
0
16
16
16
0
0
16
2
8
8
8
0
2
2
2
4
4
4
4
8
4
4
1
16
16
8
0
0
0
0
0
0
6
33
0
0
0
2
32
8
0
4
16
16
0
0
8
8
0
0
8
9
16
16
16
16
0
0
4
0
0
0
0
0
0
0
12
28
28
28
8
8
8
8
16
16
0
0
0
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
8
0
0
0
0
0
0
40
40
4
0
0
0
0
0
8
8
8
0
0
0
40
24
24
24
0
0
1
8
8
13
13
24
0
0
0
32
32
0
8
0
0
0
0
0
0
2
2
24
0
0
0
0
0
17
0
0
0
16
16
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
2
8
0
0
8
8
8
8
16
16
0
32
32
32
0
18
18
0
0
0
0
1
4
0
16
0
0
0
0
0
0
0
0
24
16
0
8
24
8
0
0
52
16
24
0
0
0
8
0
16
16
1
1
8
8
8
12
1
4
4
4
0
0
8
0
16
16
28
2
1
0
0
0
0
4
16
16
2
2
0
0
0
4
4
16
19
0
16
16
0
0
0
2
2
24
24
0
0
0
8
8
0
0
0
16
0
16
1
0
8
8
8
0
0
1
1
1
0
0
0
0
0
2
12
1
24
24
16
16
16
32
8
0
0
0
0
0
1
0
0
0
16
8
0
0
0
1
1
1
1
1
16
0
0
16
8
4
4
4
16
0
0
8
8
8
24
24
24
0
8
4
0
16
0
16
0
0
0
1
0
8
8
8
8
20
0
0
4
0
0
0
16
0
0
0
0
0
8
8
0
0
24
8
0
17
16
8
8
0
16
16
8
0
0
0
0
12
4
4
8
0
0
0
0
16
16
16
16
16
16
4
16
16
8
0
0
0
0
16
16
0
0
0
1
4
4
4
4
4
4
0
4
4
2
16
16
8
8
0
8
0
0
8
8
8
8
8
8
0
0
8
8
8
0
0
1
1
0
0
0
5
16
8
0
0
16
40
16
0
0
0
0
8
8
16
48
48
48
0
2
32
16
0
0
0
16
24
24
0
1
0
2
3
3
0
0
16
0
0
0
1
0
0
0
16
0
0
16
1
16
16
8
1
8
9
9
4
4
4
56
8
2
2
0
40
40
8
8
8
8
0
1
1
1
1
0
2
1
16
16
8
0
0
0
0
0
0
0
8
8
0
0
4
4
1
0
0
0
0
0
0
0
0
0
8
8
8
8
16
8
16
8
8
0
48
17
8
0
0
32
16
16
16
16
16
16
16
1
16
8
0
0
0
32
0
0
8
8
16
16
8
8
0
0
0
0
8
2
2
8
9
0
0
2
2
2
32
32
8
0
16
16
16
16
1
8
4
4
8
16
0
16
16
16
0
4
0
8
8
24
24
24
24
16
0
0
8
8
8
4
4
9
4
32
0
0
0
0
0
32
0
22
0
0
8
40
0
0
0
1
0
0
8
8
16
16
0
0
16
16
16
16
16
8
0
8
1
1
1
1
32
32
24
16
8
8
8
8
0
0
0
0
8
16
16
8
0
0
0
0
0
16
5
5
0
0
0
0
20
4
56
56
8
8
29
8
0
8
0
16
32
4
0
0
0
0
0
0
8
8
2
8
8
8
8
12
12
12
0
0
0
0
8
0
0
0
1
4
8
16
16
8
16
0
0
0
0
0
0
0
0
0
0
0
0
8
5
0
0
16
16
16
0
0
0
0
8
0
0
0
0
32
0
0
0
0
0
32
8
8
9
1
4
4
0
0
16
16
0
32
32
0
0
18
0
0
16
12
16
0
8
16
16
0
0
0
16
16
16
16
16
16
16
0
0
0
8
0
0
4
0
0
0
18
18
0
0
4
0
0
0
0
0
0
0
0
0
0
8
0
0
24
16
16
0
8
28
8
0
0
9
16
24
0
0
4
0
0
2
0
1
0
0
21
8
17
17
17
0
16
16
16
2
2
2
0
0
0
0
0
0
0
0
0
0
32
0
0
0
0
2
7
7
1
4
8
0
2
2
0
0
16
16
16
8
8
0
2
0
0
0
16
8
8
0
0
0
0
20
20
20
0
0
0
8
8
8
8
16
8
8
8
0
8
8
8
8
2
0
0
0
0
0
0
0
0
2
2
2
0
0
0
10
16
0
0
0
8
0
0
0
0
0
0
8
0
8
8
16
16
16
16
16
0
0
0
0
8
8
1
1
0
0
6
6
16
16
0
18
8
8
0
8
16
6
6
0
8
0
6
8
0
0
16
16
16
0
4
4
0
6
24
24
24
2
0
0
16
1
0
8
32
32
16
0
0
0
0
0
16
0
17
8
1
0
0
9
9
16
16
16
1
0
0
8
8
0
0
8
16
0
0
4
0
16
16
4
5
24
0
16
8
0
0
16
0
0
0
0
2
2
2
0
0
0
0
12
12
12
8
8
0
0
0
0
0
0
0
16
16
16
14
8
8
0
0
24
16
16
16
16
16
2
0
8
8
8
8
24
0
0
0
16
1
16
16
16
1
0
16
16
0
16
4
4
16
8
8
16
0
16
0
0
8
0
0
8
0
0
0
0
0
0
32
0
0
0
0
0
0
10
24
24
24
0
1
6
0
0
16
16
16
1
0
16
0
16
8
8
0
0
0
0
0
0
0
16
0
0
0
8
8
8
6
6
6
0
0
4
0
8
0
8
32
0
0
0
16
0
0
0
0
8
8
5
5
5
0
0
8
0
16
1
1
1
1
0
0
16
0
0
16
16
16
16
8
0
0
0
0
4
4
3
0
0
0
0
9
20
20
20
20
20
16
0
8
8
0
0
48
8
0
16
0
8
32
32
32
32
8
0
0
0
0
0
1
1
2
2
0
5
5
5
16
16
16
22
8
2
16
16
4
2
16
6
0
0
8
8
8
8
1
1
16
18
4
4
0
0
8
8
8
8
0
0
4
16
16
16
0
8
0
0
0
0
0
4
4
0
2
2
2
57
12
16
8
0
0
0
0
0
0
4
4
0
8
8
16
24
24
0
8
8
0
8
0
0
8
16
0
32
0
4
4
4
4
0
16
8
8
0
8
8
8
0
0
8
8
4
4
4
0
0
0
0
0
8
16
16
4
8
8
8
0
32
0
0
24
24
24
8
8
8
24
8
8
2
2
2
2
0
0
0
0
8
8
16
2
8
0
6
6
40
40
40
16
0
8
16
16
16
8
8
0
0
0
0
0
32
8
0
8
0
0
16
16
8
8
4
8
8
0
0
0
0
0
8
8
0
16
16
0
16
16
0
0
8
0
0
0
8
0
8
8
2
2
0
0
0
0
0
4
0
16
0
1
1
1
1
1
8
8
2
2
0
0
0
0
0
8
0
0
2
2
0
0
0
8
1
8
8
0
8
0
0
8
8
8
8
0
0
0
0
0
8
0
8
8
8
8
0
16
9
48
48
16
8
0
0
0
0
0
0
0
0
0
0
0
0
4
4
4
4
4
4
0
0
0
0
0
0
0
0
16
0
0
0
0
0
4
16
0
0
24
16
16
8
0
0
0
0
19
0
0
0
0
0
0
0
0
0
0
0
16
8
8
8
16
16
8
0
0
16
16
0
6
0
0
0
0
16
16
16
8
16
2
2
2
2
2
8
8
4
4
16
28
0
0
0
8
2
8
16
0
0
0
0
4
0
24
24
24
24
0
4
0
0
0
0
0
0
0
0
0
8
1
16
16
16
0
0
0
16
8
0
0
0
0
0
16
8
0
16
47
0
1
1
32
0
1
0
0
0
0
0
1
49
49
12
8
16
16
16
24
0
0
8
8
8
16
16
16
0
1
0
0
0
2
0
16
16
16
0
16
16
28
0
0
0
0
0
0
0
0
8
8
8
8
8
16
0
0
0
4
4
0
0
16
16
16
8
8
0
24
24
2
4
8
1
8
0
32
0
8
8
0
10
10
10
8
0
0
8
0
0
0
0
1
10
10
0
0
0
0
0
16
8
0
0
0
0
16
16
9
0
0
8
0
16
0
16
16
0
0
0
8
8
8
20
20
16
0
0
0
0
16
8
16
0
17
16
4
0
0
0
8
10
8
0
0
0
0
0
0
40
40
8
0
0
24
24
0
0
8
0
16
0
0
0
0
16
20
20
20
0
8
48
48
48
0
16
0
0
1
0
0
16
8
16
0
0
0
0
2
2
2
1
9
0
0
16
16
20
0
2
8
0
0
8
8
18
2
8
8
0
0
16
16
16
24
0
4
4
4
4
4
1
0
0
0
0
0
0
12
0
0
0
0
0
16
16
0
32
28
28
28
28
16
4
32
16
0
0
8
8
1
8
8
16
8
8
1
0
0
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
32
16
0
1
1
16
0
0
0
1
1
0
0
0
0
0
0
0
0
0
8
16
16
16
16
16
16
0
0
8
0
0
0
0
0
0
0
0
5
0
0
0
0
0
0
8
8
16
16
16
2
16
0
0
0
16
0
0
24
16
0
8
0
2
16
8
8
8
0
0
16
16
0
16
2
32
32
32
16
16
0
8
8
1
1
0
0
0
8
16
0
0
0
16
0
8
8
8
8
8
8
0
1
1
1
0
0
8
8
16
16
8
26
1
16
0
0
0
0
8
0
0
0
8
8
8
16
0
0
0
0
0
0
0
0
24
24
0
16
0
0
0
2
2
2
8
0
0
0
0
0
0
0
14
1
1
3
2
0
0
8
8
0
3
3
16
16
8
8
4
0
8
8
8
10
10
0
16
0
0
0
0
8
8
8
8
8
16
16
16
16
1
0
8
8
0
0
0
0
16
0
0
16
16
8
0
0
0
0
0
0
4
1
2
3
8
8
8
8
8
0
0
0
0
0
16
16
1
0
16
24
24
0
8
16
0
8
8
0
16
16
0
0
0
8
8
16
0
0
8
0
0
16
20
32
16
16
1
4
4
0
0
28
0
0
0
0
0
16
16
16
8
4
14
8
0
16
0
0
16
16
16
21
5
16
1
0
4
4
14
0
0
0
0
24
24
16
8
0
0
1
8
16
4
4
0
16
2
2
16
16
1
0
0
0
0
0
0
16
40
40
40
0
0
0
0
0
0
16
0
8
8
8
10
0
0
0
8
16
16
16
8
8
4
4
0
0
0
0
0
16
16
0
0
0
8
8
16
1
16
16
16
16
0
0
2
8
0
0
0
0
56
0
16
16
0
0
0
0
8
8
16
16
1
0
16
16
0
0
8
8
12
56
56
0
0
16
16
16
16
16
0
8
8
4
0
0
0
0
0
12
0
0
0
4
16
4
1
8
0
0
0
0
0
0
0
0
0
16
16
16
16
8
0
0
4
0
2
4
8
0
0
0
0
8
8
8
0
0
0
2
2
0
0
0
0
8
1
0
37
37
16
16
0
0
32
32
32
12
12
12
12
12
2
16
2
2
0
16
0
0
16
16
16
1
8
0
2
8
16
16
16
16
0
0
16
22
22
0
25
1
1
0
0
4
32
0
0
0
0
0
0
0
0
8
0
0
8
8
8
16
16
16
16
0
0
0
8
2
2
8
0
0
0
0
0
0
0
0
20
16
0
0
2
0
0
0
0
16
16
0
0
8
12
1
1
16
16
16
17
1
1
9
8
32
32
32
32
32
32
0
0
0
0
18
1
1
32
2
16
16
16
8
8
8
16
0
0
8
8
0
8
8
33
33
33
33
8
8
8
0
0
1
1
1
0
0
8
8
8
0
4
8
8
0
0
0
0
20
0
28
16
16
0
0
8
2
16
16
20
20
4
16
16
16
16
16
16
8
8
8
0
0
1
1
0
0
0
16
16
1
24
24
8
0
0
0
0
0
0
0
0
0
0
1
4
8
8
5
0
0
0
0
0
0
4
8
4
8
16
4
4
32
0
0
0
0
0
1
1
0
0
1
1
16
16
16
16
0
8
0
0
0
0
0
0
0
0
1
16
20
20
20
0
16
2
2
4
4
4
0
8
53
8
4
0
40
0
56
16
16
16
16
0
0
0
16
16
24
4
1
1
1
8
8
8
0
4
4
4
4
4
0
0
0
0
0
8
0
0
8
1
2
21
21
0
0
0
8
0
0
1
0
0
0
1
1
2
0
8
8
10
0
1
32
0
4
8
8
8
8
12
0
8
8
0
12
12
12
0
0
0
0
1
1
1
24
0
16
0
0
16
0
8
8
8
8
8
34
34
34
2
2
4
4
4
16
16
16
0
0
0
0
0
0
0
8
8
8
8
34
34
34
0
0
0
0
4
9
4
8
8
24
16
0
0
8
16
16
17
16
1
16
16
16
16
16
0
0
0
0
0
0
0
16
0
20
16
16
4
0
0
0
0
0
0
16
16
20
20
9
9
20
20
8
34
16
8
32
32
1
8
8
8
24
24
16
16
0
8
0
0
0
34
34
8
8
9
0
0
11
4
4
0
0
4
4
0
0
0
0
0
8
1
1
8
0
0
8
8
16
1
2
8
8
8
0
0
8
16
0
8
0
0
20
20
16
0
0
0
33
16
16
16
17
8
8
1
0
0
16
0
8
8
0
2
0
0
0
0
0
0
0
0
0
0
8
16
16
5
0
8
8
0
0
8
4
4
4
4
0
0
0
24
8
1
0
0
0
0
0
0
0
0
0
16
16
16
16
20
16
0
0
16
16
0
0
0
2
0
0
16
8
8
8
4
4
0
4
8
0
41
0
0
0
8
8
8
0
0
0
0
12
16
8
28
28
16
8
8
4
4
9
16
16
32
32
32
8
2
2
8
16
0
8
8
8
16
0
0
0
8
8
8
8
8
8
16
0
16
16
0
0
0
0
0
0
0
8
0
0
16
16
16
8
0
0
0
0
16
0
8
0
16
8
21
0
16
16
16
0
16
2
2
2
0
0
0
8
8
8
8
8
2
44
8
0
0
8
8
16
16
16
0
0
0
0
16
16
16
16
16
8
8
8
8
8
8
8
4
4
4
16
0
0
0
8
1
1
1
0
0
0
0
0
1
1
8
8
16
16
16
0
32
8
8
2
0
0
0
0
12
8
0
12
8
8
8
8
8
33
33
0
0
0
0
16
8
0
0
4
0
0
8
0
0
0
0
0
0
0
0
24
0
0
0
16
16
16
16
0
0
0
18
16
16
8
8
8
25
12
0
0
4
1
0
16
0
0
16
0
8
16
4
10
10
10
10
10
32
0
9
0
0
0
16
16
8
8
8
0
0
0
1
4
4
4
8
0
8
0
8
0
0
8
4
8
8
0
0
16
16
0
0
48
8
8
16
0
1
16
2
16
16
39
39
2
2
0
0
17
16
8
0
0
1
25
0
0
10
16
16
0
24
24
2
2
0
8
4
0
16
16
32
0
0
0
1
0
24
0
4
0
5
1
0
0
8
16
0
2
8
8
0
0
0
0
16
0
6
6
12
0
16
0
0
16
16
16
16
16
16
16
8
8
8
4
8
8
8
0
8
20
0
2
0
0
17
17
17
16
0
0
0
0
4
4
4
0
0
0
0
17
0
0
0
8
16
8
0
0
0
1
14
14
1
8
8
0
0
0
0
0
0
0
0
0
0
0
8
8
8
24
16
24
0
0
0
0
0
16
2
0
0
0
0
8
0
0
10
32
0
8
8
8
8
8
0
0
0
0
0
0
8
4
0
0
0
0
16
16
16
16
2
2
0
8
24
24
0
16
16
16
24
0
8
8
0
0
0
8
8
8
0
0
0
0
0
4
0
1
0
16
20
0
8
60
60
1
1
2
8
8
8
2
0
2
0
0
5
16
0
0
0
0
8
16
16
16
0
0
32
32
8
16
0
0
0
0
0
8
8
4
0
0
0
4
0
0
0
2
4
8
1
1
1
1
8
0
16
16
16
0
0
8
0
8
4
4
22
4
16
0
0
1
0
0
1
4
4
8
0
0
8
0
8
8
0
0
18
18
8
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
16
4
4
2
8
8
8
8
8
0
0
0
24
0
2
2
2
34
16
8
0
0
0
0
0
20
4
4
4
1
0
0
8
16
0
8
8
8
0
16
16
0
0
0
0
0
0
16
0
0
8
8
1
1
1
32
8
0
0
0
0
8
8
16
0
0
0
1
4
4
8
0
0
0
0
0
8
8
4
4
4
0
0
16
16
16
16
16
16
16
0
2
16
0
0
17
8
2
4
4
32
0
0
0
0
0
24
24
24
0
0
0
32
32
8
24
0
0
4
0
16
8
8
16
16
16
0
8
8
0
0
0
0
0
0
24
0
8
16
0
8
4
4
12
12
16
16
0
0
8
32
8
4
0
0
0
0
0
0
0
1
1
16
16
16
4
4
4
0
40
40
40
0
0
0
32
8
8
8
0
32
32
0
8
8
0
0
0
0
0
1
0
8
8
0
8
8
0
0
0
0
16
8
0
8
0
8
0
0
4
24
8
8
0
0
0
0
0
0
8
16
0
0
0
0
0
4
8
37
8
1
1
1
1
24
24
0
0
16
0
1
8
16
0
0
16
16
0
0
0
0
8
8
16
16
16
48
33
1
1
1
18
41
41
41
16
0
0
0
0
0
0
0
0
0
8
0
1
1
8
12
8
0
0
0
0
0
0
0
0
0
0
0
16
16
48
8
8
8
0
0
0
0
8
16
16
2
8
1
0
0
0
0
16
1
0
0
0
0
0
18
18
0
1
0
0
0
2
2
2
2
0
0
16
4
4
16
8
1
1
32
0
1
1
1
0
0
32
5
16
16
16
8
8
8
0
0
8
16
0
0
8
1
0
0
0
0
2
2
1
0
0
0
0
0
0
0
0
2
32
12
0
9
16
16
0
8
0
0
0
24
4
4
1
8
8
4
0
0
8
1
6
6
0
0
8
8
8
0
0
8
0
0
0
0
0
0
0
0
0
0
0
1
32
24
8
0
0
0
0
0
0
0
8
8
8
8
8
8
0
8
4
4
0
0
0
8
8
4
0
0
0
0
0
8
8
0
0
0
0
0
2
4
20
8
0
0
16
0
16
16
16
0
2
0
16
0
16
1
2
2
8
8
0
8
16
24
17
0
0
0
24
16
0
0
1
0
0
0
0
0
0
0
0
0
0
4
0
20
8
1
40
44
16
16
1
0
0
0
0
0
8
0
0
2
0
0
8
8
4
8
0
16
16
8
0
8
16
0
0
0
0
0
8
8
0
0
8
8
0
16
0
0
24
24
16
16
1
8
8
8
8
4
4
4
0
0
0
0
16
16
8
0
0
0
2
0
0
16
16
4
4
24
8
4
0
2
22
1
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
4
8
16
16
16
8
0
8
16
0
18
1
2
8
0
20
8
16
16
16
16
8
8
0
0
4
0
0
0
0
8
1
1
1
0
0
4
16
16
0
0
0
0
0
0
0
0
17
16
0
0
0
0
2
16
8
0
0
8
8
0
0
0
0
0
0
16
16
24
0
0
0
1
34
34
28
0
0
0
8
16
16
0
0
0
2
0
0
0
33
0
0
8
8
32
8
8
16
1
0
0
0
2
2
0
16
3
8
4
16
8
0
16
16
16
24
0
0
0
16
16
8
0
0
0
8
0
16
16
16
16
16
16
0
0
0
5
5
0
0
0
16
2
2
2
2
0
0
16
16
0
0
8
4
4
4
0
0
0
0
8
4
0
0
16
0
0
0
16
4
8
0
0
0
0
0
24
24
8
8
8
0
0
8
0
0
0
0
1
4
0
0
16
9
9
8
0
0
0
8
32
32
32
16
4
24
16
16
0
0
0
0
0
0
0
8
8
8
0
8
8
0
1
8
16
16
16
0
0
4
4
10
10
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
12
12
12
12
1
2
16
25
25
8
0
0
16
4
8
0
16
16
16
0
8
8
32
11
0
0
0
8
8
0
0
0
16
16
0
0
32
0
0
0
0
0
0
0
0
8
8
8
8
0
0
1
32
16
16
0
24
48
48
0
16
16
0
0
16
0
0
0
0
0
8
0
0
0
8
0
0
0
24
24
0
0
0
0
16
16
16
8
8
8
8
8
0
0
16
16
2
24
16
0
1
17
20
0
8
10
2
16
0
0
8
0
0
0
0
0
0
1
16
2
1
1
8
0
0
32
5
5
5
1
1
1
0
10
16
0
0
0
0
0
1
0
0
17
17
0
0
0
0
0
0
0
16
0
0
0
0
0
4
8
0
1
1
1
16
0
0
0
0
49
49
49
49
0
16
0
40
0
0
0
8
8
8
0
16
16
8
8
0
0
0
0
8
8
8
8
16
1
0
0
0
0
0
0
4
8
0
0
16
16
4
32
32
32
0
0
8
9
34
0
0
32
2
24
0
1
1
3
0
0
0
2
2
2
16
16
0
0
0
8
0
4
0
0
0
0
0
16
16
16
16
16
16
0
0
16
4
4
8
16
0
0
4
2
2
20
16
16
16
8
8
8
0
0
0
0
2
2
0
8
24
32
0
0
0
0
0
0
0
0
0
0
0
0
0
33
8
16
8
0
0
0
8
8
8
8
0
1
8
8
8
8
8
0
24
24
0
3
0
0
0
0
0
0
0
0
0
17
0
16
0
4
8
8
8
8
40
40
8
16
2
8
0
18
18
34
17
8
8
2
0
8
8
0
0
0
0
0
8
0
1
1
0
0
0
0
0
16
16
16
8
16
0
0
0
0
0
0
8
8
8
16
16
8
8
0
0
16
8
8
0
1
2
24
0
1
16
4
16
0
46
46
46
46
46
0
14
16
16
16
16
0
0
0
0
0
16
2
2
0
0
0
4
4
48
2
0
0
0
0
0
16
16
16
0
0
0
0
0
0
8
8
24
0
16
16
16
16
16
16
16
16
8
8
16
2
0
0
0
0
0
8
2
0
0
8
8
8
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
12
12
12
0
0
16
16
20
20
0
8
0
0
2
8
0
16
16
16
16
0
12
8
8
16
20
0
16
16
0
0
0
0
0
0
8
0
16
16
16
16
0
18
30
30
16
0
4
0
8
0
16
0
0
8
0
0
4
4
4
4
4
0
0
24
2
16
16
16
16
16
16
16
16
16
16
16
16
16
16
1
20
16
0
0
2
2
0
8
8
24
0
0
0
16
16
16
0
8
1
32
32
8
8
8
16
16
16
0
0
0
0
0
0
0
1
16
16
0
44
0
3
2
4
16
1
1
1
1
1
16
0
16
16
0
8
8
8
0
8
8
8
8
16
16
0
0
0
0
0
8
8
8
8
4
4
4
0
0
0
8
0
0
0
2
0
8
8
16
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
2
2
0
0
32
0
0
8
18
0
48
1
8
16
8
29
0
8
8
8
0
8
0
8
8
0
19
8
8
8
16
18
8
0
16
17
0
4
4
0
0
4
1
1
16
16
1
1
1
0
4
4
1
0
4
8
2
0
4
0
16
1
0
6
6
0
2
9
0
2
2
8
8
4
4
8
8
8
0
0
0
16
0
12
0
0
8
8
0
0
0
2
0
0
4
4
4
34
16
16
8
8
0
6
6
8
0
3
8
8
8
8
8
8
8
8
8
1
1
0
0
0
0
16
8
0
2
0
0
0
0
0
0
1
0
0
0
8
16
24
1
1
16
16
16
8
8
24
0
8
8
8
0
0
0
16
16
0
0
8
16
16
16
10
1
0
0
0
0
0
25
8
0
0
0
8
24
24
24
24
0
1
0
0
0
0
0
0
1
0
0
8
0
60
1
4
0
9
9
9
9
9
9
9
8
8
4
4
4
4
24
0
0
0
8
8
8
0
0
0
8
24
24
24
8
17
0
8
0
8
8
0
16
0
0
0
0
16
0
16
16
0
8
8
0
0
0
0
16
8
0
4
16
0
0
0
0
0
0
3
8
16
8
0
16
16
16
0
24
24
16
0
0
0
0
0
0
0
0
8
16
0
0
0
8
12
12
12
16
0
0
16
8
32
0
0
8
16
16
16
0
0
0
16
8
0
17
17
2
0
0
0
0
0
0
0
0
0
0
8
10
2
2
8
9
0
1
8
8
0
4
0
6
8
0
8
8
0
0
1
4
0
0
0
8
24
8
8
16
0
0
0
4
4
0
0
0
8
0
17
0
8
0
26
8
0
1
0
0
0
0
16
0
32
0
0
0
0
0
0
16
16
16
8
0
8
4
0
0
0
16
16
8
8
8
27
1
1
0
0
0
32
8
16
0
0
8
20
0
2
2
26
16
16
16
0
32
4
16
16
16
16
4
4
4
4
0
8
8
16
0
0
0
0
0
0
0
1
40
8
0
8
8
8
0
0
0
0
16
8
1
1
0
1
1
4
4
4
0
8
24
6
6
0
4
4
8
8
8
9
0
0
3
0
0
0
0
0
0
20
16
16
8
4
24
24
24
24
16
16
16
0
24
8
0
0
0
21
0
0
8
16
4
0
16
8
28
0
16
28
28
20
20
27
0
0
8
0
0
0
0
0
0
0
0
0
8
8
16
16
16
0
0
0
0
8
8
8
8
8
0
0
8
0
0
16
0
0
18
16
16
12
12
10
0
0
9
8
8
0
0
8
8
8
8
0
4
8
0
16
16
0
8
8
32
24
24
24
24
4
16
0
0
0
0
0
0
24
8
8
2
2
16
0
8
0
16
0
0
0
20
0
0
0
0
0
0
0
0
0
2
0
12
12
12
16
4
4
0
0
16
16
8
0
8
8
8
8
1
0
0
1
0
0
0
0
17
8
8
8
8
16
48
48
16
16
16
16
0
0
0
0
0
0
16
16
0
0
1
1
2
2
16
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
8
8
16
16
16
16
16
16
4
32
32
8
1
0
0
0
24
10
10
10
10
16
0
16
8
8
8
8
8
8
0
8
8
0
8
16
8
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
16
1
1
0
16
16
0
16
0
1
0
1
1
0
8
8
0
0
4
4
4
0
0
16
16
56
56
4
25
16
16
32
0
8
0
16
16
16
16
0
8
16
16
0
16
0
10
0
41
2
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
8
8
0
16
8
8
16
0
24
2
8
8
8
8
8
0
8
8
0
0
0
16
16
16
4
8
1
0
0
16
8
0
25
0
0
0
8
34
0
0
8
8
0
0
8
0
32
32
0
0
8
8
8
8
0
2
0
24
24
0
0
16
16
18
8
8
8
40
1
1
2
8
0
0
0
0
16
16
8
0
0
0
1
1
8
8
9
8
16
16
20
8
8
8
0
8
0
0
0
4
4
0
0
4
4
32
32
0
0
0
0
0
0
16
8
8
8
0
0
0
0
0
16
0
0
0
0
8
2
4
16
0
0
4
4
4
8
8
16
1
0
0
0
0
8
16
16
16
0
16
16
16
16
16
0
24
1
0
0
0
4
0
20
16
8
0
0
32
0
8
0
0
8
0
0
16
0
16
8
8
8
0
16
0
12
0
10
0
16
16
16
16
8
8
8
8
1
1
8
8
0
0
0
0
0
0
0
8
18
18
32
16
4
17
8
2
18
0
2
16
0
0
0
8
4
4
0
16
16
0
0
16
0
0
0
8
0
40
0
8
8
8
8
8
8
8
6
0
0
4
16
16
0
0
17
8
8
8
8
0
0
0
8
8
1
16
16
0
4
4
4
16
0
0
0
8
16
8
8
0
0
0
1
0
0
0
19
27
19
0
0
8
16
18
18
0
8
0
16
16
16
8
0
0
0
0
32
8
4
4
4
16
16
0
0
0
0
0
0
0
0
0
16
16
0
0
2
2
44
16
0
16
0
8
8
8
8
8
0
0
2
0
8
8
8
16
0
0
0
0
0
0
0
0
0
0
0
8
32
32
32
0
8
8
8
8
0
4
1
1
0
0
0
0
16
40
0
0
0
0
0
0
13
0
0
16
16
0
8
2
0
0
1
0
0
0
2
2
2
40
20
0
0
1
1
1
8
0
8
4
1
0
0
19
4
4
4
4
0
0
4
16
0
0
0
2
2
0
0
0
0
0
0
0
2
2
0
0
0
0
0
0
0
0
0
2
16
16
0
0
0
8
0
0
20
17
0
0
0
0
8
2
0
0
16
0
0
1
8
16
16
16
16
16
2
2
2
2
2
2
8
8
0
0
0
0
0
1
0
32
10
0
0
0
0
16
0
0
0
1
0
0
0
32
0
8
8
0
8
0
0
0
0
32
32
8
8
24
32
0
0
0
0
61
61
61
0
0
0
32
0
0
0
8
18
1
1
0
0
2
2
16
16
8
8
4
4
0
0
0
0
0
2
2
8
10
16
16
24
32
8
8
8
8
16
16
16
16
4
4
0
1
1
16
0
0
8
8
8
8
0
0
0
16
0
8
0
0
0
8
4
4
8
8
8
0
16
17
17
0
8
2
2
2
0
0
0
8
8
8
4
4
16
0
0
1
0
0
0
0
0
0
0
8
8
16
0
0
0
0
0
0
0
0
0
0
16
8
1
8
0
0
16
16
16
0
32
32
32
30
8
8
8
0
0
8
8
8
0
16
16
0
0
0
16
0
0
16
16
0
18
0
0
0
0
8
0
2
2
0
0
0
0
8
1
0
0
0
0
0
0
0
0
0
8
0
8
8
0
24
24
24
24
24
24
16
0
0
8
8
8
8
8
8
8
8
8
8
8
0
0
1
0
8
8
2
1
16
16
16
0
0
0
8
0
0
0
8
0
0
0
0
0
8
0
0
0
2
2
2
1
24
8
4
0
1
1
0
57
16
8
0
0
0
8
8
24
0
16
16
16
8
1
32
45
0
0
0
16
0
8
0
8
32
0
10
10
10
8
8
8
8
16
20
0
0
0
8
0
0
4
0
0
16
8
8
1
8
16
0
0
0
1
4
4
16
0
0
0
0
8
8
1
1
0
0
0
0
0
0
8
8
0
16
1
0
0
16
16
0
0
8
8
8
8
0
0
1
1
0
8
8
8
0
16
8
8
4
16
0
0
0
0
8
8
0
0
0
16
16
16
1
1
1
16
0
0
1
8
8
0
0
0
0
0
16
8
8
0
8
0
8
0
0
1
0
0
2
8
0
0
0
1
1
4
4
4
8
1
4
4
4
4
4
4
4
1
0
0
8
16
0
0
0
0
0
32
8
0
16
0
16
22
17
0
0
0
0
16
8
8
8
8
0
0
0
0
8
16
16
16
8
0
0
0
0
0
8
8
0
1
1
1
32
16
9
0
0
9
3
32
0
2
0
16
0
0
0
4
4
4
16
16
0
16
0
6
1
4
4
0
33
8
8
0
0
0
0
1
4
4
16
0
0
0
0
1
1
16
16
16
1
0
0
0
0
2
0
0
0
0
0
0
0
16
8
8
0
0
0
0
0
2
2
2
1
0
2
0
8
6
0
0
8
0
0
0
8
16
16
8
2
16
16
4
24
0
32
8
4
0
8
0
8
8
0
0
1
1
0
0
0
0
0
0
8
8
2
2
16
16
16
8
8
0
8
8
0
0
0
8
16
0
8
1
0
0
0
16
16
16
0
0
16
16
16
8
16
16
16
16
8
8
0
16
0
16
16
16
0
0
16
2
0
0
0
16
0
0
0
0
0
60
60
0
8
0
0
0
0
0
0
4
4
8
16
16
0
0
0
2
1
8
0
3
3
3
0
0
4
0
0
0
16
16
16
4
0
0
40
40
16
8
0
8
8
8
0
0
0
16
16
0
16
16
8
0
8
0
0
0
32
8
0
0
0
0
0
0
0
0
0
4
4
0
0
0
8
8
8
6
0
6
0
16
20
0
8
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
34
34
34
34
0
16
0
0
0
16
1
1
1
1
8
16
0
8
8
8
0
1
0
0
0
0
1
8
8
0
0
0
16
2
0
0
1
1
16
16
16
0
0
0
16
8
0
0
0
0
0
0
16
8
8
8
8
0
0
0
1
1
1
0
0
0
8
9
16
8
8
0
0
8
8
1
2
10
8
16
16
0
8
8
16
0
0
0
0
4
0
0
16
16
0
8
16
16
24
8
8
0
34
8
8
8
1
8
8
4
1
8
8
8
8
8
8
8
8
8
8
8
8
8
8
2
2
2
8
0
2
2
2
2
0
0
0
32
0
0
0
8
8
0
0
0
8
0
0
18
0
0
0
0
8
0
8
36
36
36
49
49
0
0
35
35
35
35
16
0
8
6
6
16
1
0
2
0
0
0
0
0
8
0
0
0
0
8
8
8
8
4
8
32
2
4
4
0
0
28
4
4
8
1
1
0
0
0
16
8
8
8
36
36
0
0
12
2
8
0
0
0
1
16
8
6
6
8
8
0
4
32
32
2
2
0
2
4
0
8
24
0
8
0
0
0
0
0
8
8
8
8
0
0
0
8
0
0
0
8
8
8
0
16
16
0
0
16
0
10
2
1
1
16
16
16
0
0
0
2
8
8
1
1
9
1
1
1
1
1
1
1
1
1
1
1
0
0
0
6
6
8
0
0
0
0
0
0
16
8
8
4
4
16
4
4
4
0
16
16
8
8
16
16
16
0
4
0
1
1
8
8
8
8
0
8
33
0
4
16
2
16
8
8
8
0
16
11
0
0
8
0
16
2
0
8
0
0
1
0
16
8
8
8
0
0
8
8
24
16
0
0
16
16
12
16
0
0
12
8
0
2
2
16
0
8
4
8
0
0
0
12
2
2
0
57
0
2
0
16
8
8
8
8
8
8
8
16
0
8
8
0
0
0
4
8
8
0
8
1
1
0
0
0
0
32
2
2
48
48
48
48
48
0
0
0
0
0
16
16
0
16
0
0
0
0
6
16
52
52
52
52
52
52
9
0
0
0
0
0
0
0
0
0
0
8
0
9
1
1
0
16
16
8
0
0
0
0
8
8
8
0
0
0
0
0
8
8
8
0
20
0
0
8
1
1
9
8
8
0
0
0
2
2
8
0
8
27
27
4
4
4
0
0
24
24
8
8
18
8
8
0
0
0
0
0
0
0
0
8
8
16
16
16
24
24
24
0
0
3
0
0
16
0
0
0
0
16
0
8
8
0
5
1
1
2
2
2
1
0
8
0
8
24
0
0
3
16
16
0
16
16
8
12
12
12
24
24
16
2
4
4
4
4
4
0
8
8
0
4
16
16
8
8
0
0
32
8
16
0
0
16
0
0
16
0
8
8
4
8
8
8
2
2
4
4
4
4
4
8
2
8
16
0
0
0
0
0
8
8
0
32
4
0
0
0
0
0
0
8
8
16
0
16
12
0
0
16
0
17
17
8
8
22
0
0
24
24
24
24
24
24
24
24
0
0
16
8
0
0
0
0
0
0
8
8
8
8
8
8
0
32
32
32
0
0
0
16
0
0
8
8
8
0
0
8
0
0
16
8
4
4
0
0
4
8
8
8
8
0
0
8
8
8
8
0
2
0
0
0
0
8
16
16
6
16
16
16
4
0
0
8
0
2
2
8
1
1
1
8
0
0
0
25
25
25
25
25
25
0
1
11
0
1
1
16
0
0
0
0
8
8
8
0
0
0
16
0
0
0
8
0
0
0
1
0
1
2
2
2
2
8
8
0
8
8
8
0
0
1
1
9
9
8
0
0
0
0
0
0
0
0
0
3
0
4
0
0
4
0
41
0
16
16
0
0
1
8
16
0
17
20
20
0
8
8
16
0
0
0
16
16
0
2
16
0
16
0
0
0
0
0
8
8
0
0
0
24
24
24
24
24
16
16
8
8
0
8
1
1
0
0
0
0
0
0
0
0
0
0
2
8
0
0
0
0
0
0
0
24
8
0
0
8
1
0
8
8
24
24
0
24
0
0
0
0
0
0
8
8
8
0
8
8
8
8
16
16
2
2
16
16
24
24
0
24
24
1
1
8
0
0
8
2
0
0
0
0
0
0
0
0
4
4
8
8
16
16
0
0
4
0
32
32
0
0
0
0
0
16
16
16
12
0
8
16
0
8
8
1
32
0
0
0
13
32
8
8
0
0
0
0
0
0
0
0
0
2
0
8
8
16
16
16
16
16
13
8
0
0
0
0
0
16
16
1
2
9
0
0
8
8
16
16
8
8
16
16
0
16
8
8
8
16
0
0
0
0
0
2
4
4
9
0
0
0
0
0
16
16
0
8
8
0
0
0
16
16
0
24
24
24
0
4
2
0
16
2
8
8
8
0
0
0
0
0
0
8
8
0
2
8
40
40
0
1
32
32
24
24
0
0
0
8
2
2
8
0
0
0
0
0
0
0
25
25
0
0
0
16
0
2
0
0
32
32
0
16
2
2
0
8
8
1
0
4
5
5
0
1
16
4
12
12
12
16
0
0
0
0
0
20
4
18
16
0
16
2
2
0
0
8
0
4
24
14
14
14
8
8
8
8
8
20
0
0
0
4
16
8
0
0
0
0
4
4
0
16
0
4
4
4
1
1
0
2
2
0
0
0
0
20
0
0
0
8
8
8
0
22
8
0
2
2
0
0
0
0
16
16
8
8
8
0
8
8
9
0
16
0
16
16
16
8
8
16
0
0
0
16
8
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
2
14
4
4
0
0
0
0
32
40
0
32
0
2
8
0
1
1
1
0
0
16
0
0
16
0
24
0
0
0
0
0
4
0
0
0
0
0
0
4
0
0
0
0
0
0
16
0
4
8
8
8
1
0
0
0
10
4
0
0
0
16
0
0
0
2
32
0
0
0
0
0
0
0
0
8
16
0
8
8
16
0
1
0
0
0
0
0
0
0
1
1
1
16
0
0
0
12
0
0
2
0
29
2
5
0
0
0
0
17
8
0
0
0
0
0
8
16
8
1
8
2
16
8
0
0
0
2
2
2
2
2
2
2
2
8
0
0
8
0
0
0
0
16
0
0
32
1
0
16
16
16
16
0
16
0
2
2
2
16
8
16
8
8
8
8
8
8
16
16
0
0
0
0
0
0
0
0
24
24
0
0
0
0
0
10
0
17
17
17
17
17
1
1
0
0
8
8
8
8
0
0
0
0
0
0
16
16
4
0
0
0
0
27
27
27
27
8
8
16
1
0
0
0
22
4
1
0
56
2
2
2
0
0
0
4
4
4
0
4
4
8
16
16
0
8
8
2
32
8
19
19
19
41
2
8
0
0
0
8
8
0
0
0
0
16
0
16
0
32
32
24
24
8
8
0
0
8
32
0
0
0
0
0
0
16
0
8
10
2
0
0
0
0
16
0
0
0
4
0
16
16
16
8
32
32
32
0
0
0
0
0
0
4
8
16
16
0
0
0
0
0
2
2
32
32
32
8
4
0
4
16
8
8
8
8
8
8
1
4
8
16
16
16
16
0
0
0
0
8
4
4
32
0
0
4
16
8
0
0
0
0
0
0
16
1
1
16
16
16
16
0
8
0
0
0
1
8
8
8
1
1
1
8
32
0
0
16
0
2
1
1
1
1
0
0
8
4
4
4
0
0
0
0
0
0
0
4
5
0
8
8
4
4
16
0
0
0
0
0
16
16
0
0
0
0
2
2
2
0
0
0
0
0
25
40
0
0
0
0
0
16
16
16
16
1
27
27
27
27
0
0
0
0
0
0
8
0
16
0
0
54
16
8
8
0
0
8
0
0
0
8
4
0
8
4
0
0
32
0
0
16
2
2
2
0
16
0
8
8
0
0
0
8
0
0
0
8
16
16
8
1
0
0
0
8
8
16
0
0
2
2
2
24
0
0
0
4
4
6
8
8
8
8
8
12
12
12
12
12
12
12
1
0
0
4
4
4
4
16
0
0
0
8
8
16
16
0
0
0
8
0
8
0
0
0
0
0
0
0
0
4
4
1
0
2
0
0
0
0
0
0
0
0
0
0
8
0
0
8
8
0
8
8
0
0
8
8
8
16
8
8
8
1
1
6
0
0
0
0
0
0
0
0
16
16
0
0
8
16
8
8
16
0
0
0
0
0
0
0
18
16
16
1
0
0
16
20
0
0
1
0
0
4
4
16
0
0
0
0
0
0
0
0
32
32
0
0
4
8
8
8
0
2
2
4
0
0
0
3
0
8
8
1
0
0
0
0
0
8
0
0
5
5
2
0
0
1
0
6
0
24
24
24
16
16
16
16
2
0
8
8
8
0
8
0
0
0
0
8
32
16
16
16
16
16
4
0
0
0
0
8
0
0
0
8
8
8
8
8
8
8
8
0
0
2
8
0
0
8
1
16
8
8
8
16
16
4
4
2
4
0
0
8
2
14
16
0
8
8
8
1
0
0
0
0
8
0
0
0
0
0
4
4
4
0
1
8
8
0
16
12
12
4
4
0
0
16
0
0
0
0
0
0
0
0
0
0
16
16
8
8
8
8
0
2
16
0
8
16
8
0
0
8
8
8
0
2
58
16
0
0
8
0
8
0
0
0
8
8
8
0
8
16
16
16
0
0
0
8
8
8
8
8
8
4
16
16
0
16
0
1
0
32
0
0
0
4
0
8
0
0
0
8
16
8
1
0
8
8
0
0
8
0
0
8
0
0
0
0
3
2
2
2
0
0
8
8
0
0
0
0
0
0
0
0
25
25
25
8
0
0
8
8
1
0
8
4
4
4
24
0
0
8
8
8
16
16
1
1
2
47
0
0
0
0
0
0
8
8
8
4
8
8
8
0
1
8
8
16
16
2
8
8
8
0
16
0
0
16
32
0
0
0
0
44
8
8
1
8
8
0
0
0
0
8
0
1
16
8
16
8
8
0
8
0
0
0
0
40
40
40
40
40
40
40
0
9
8
8
8
8
8
8
8
8
2
2
2
0
8
8
8
8
8
0
0
0
16
0
0
0
0
0
20
16
16
0
0
8
8
0
16
0
8
8
8
1
1
16
8
10
24
16
0
0
0
0
8
8
4
24
0
0
0
0
0
1
1
0
8
0
8
16
16
32
0
0
0
8
8
4
0
8
4
4
16
16
16
16
16
8
0
0
0
0
0
8
18
18
8
8
0
0
16
16
0
0
8
8
8
0
0
8
8
0
0
0
8
17
0
0
25
33
24
24
2
4
16
16
16
0
16
52
0
0
0
0
16
4
4
1
8
16
8
8
8
2
2
8
8
8
16
16
0
32
32
8
2
0
0
8
0
0
0
16
16
32
32
32
32
32
0
0
0
0
0
16
16
0
4
4
8
8
8
1
8
16
8
8
4
4
0
32
20
20
8
0
4
4
0
4
16
0
0
5
5
0
0
32
32
0
8
0
8
8
8
8
24
24
0
0
0
1
0
16
16
16
32
32
32
0
0
0
0
0
0
0
16
8
16
16
0
24
8
0
0
16
4
2
8
0
0
3
0
8
8
16
16
8
8
20
20
4
0
16
16
16
24
24
2
8
8
8
8
0
0
0
0
0
34
34
34
8
8
8
8
8
0
0
1
32
0
7
7
4
4
8
0
0
0
8
8
2
2
0
0
8
8
0
0
0
16
0
0
8
16
16
0
0
0
5
5
5
5
0
0
1
1
4
4
0
0
0
0
0
0
0
8
0
0
0
1
1
0
16
16
24
24
0
0
0
0
4
8
0
0
8
20
20
1
1
0
0
0
0
0
0
0
4
16
0
0
32
32
32
32
0
8
2
14
17
0
16
0
0
0
0
2
0
0
0
0
0
16
16
16
16
0
0
0
0
0
0
0
0
16
9
24
24
24
24
24
24
24
24
24
24
24
24
24
24
24
24
41
41
0
24
24
1
1
16
8
16
4
16
16
16
8
8
16
16
8
8
8
16
0
2
0
0
16
16
8
32
0
0
0
0
8
1
0
0
4
4
4
0
0
0
24
0
0
0
0
20
20
0
0
0
0
8
4
4
0
0
0
0
0
17
0
8
16
16
8
0
1
0
8
0
0
24
24
2
32
8
8
8
0
8
8
0
0
0
0
4
16
20
20
0
0
0
0
4
16
0
0
8
1
0
16
28
16
4
0
0
0
0
0
4
4
4
24
0
40
40
0
0
16
0
0
0
0
0
0
0
0
0
8
0
0
4
4
4
24
0
0
0
0
0
0
0
0
0
16
16
16
0
0
0
12
0
0
0
0
0
0
0
0
25
25
0
1
0
4
0
0
0
0
2
0
33
33
33
33
8
4
16
16
16
16
0
0
0
0
1
0
0
8
16
2
2
18
18
18
1
0
0
1
1
0
0
0
0
0
8
0
0
8
0
9
9
0
0
0
0
0
0
0
0
0
16
24
32
16
16
0
0
8
0
20
8
32
32
32
32
32
32
32
0
0
0
0
1
1
16
16
16
8
0
16
16
16
16
0
0
16
16
0
0
8
8
0
0
0
33
16
0
2
2
9
9
9
1
0
8
0
0
16
0
8
1
0
0
25
0
0
4
4
8
2
8
0
8
8
8
1
1
4
4
0
0
0
32
32
8
8
16
8
8
6
6
6
6
8
0
0
8
8
16
16
16
2
8
8
8
8
8
8
16
16
16
3
3
0
0
1
2
0
0
12
0
2
2
2
0
8
0
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
16
16
0
8
8
8
32
8
18
18
18
0
1
16
16
16
0
0
4
8
8
8
8
0
8
8
1
6
0
1
16
16
0
0
0
0
0
0
16
8
8
4
4
8
0
0
4
0
0
0
0
0
8
8
0
0
4
0
0
0
0
8
0
0
0
0
0
0
0
0
0
8
8
0
0
8
8
0
0
0
0
0
0
0
8
8
8
8
8
0
0
0
24
8
8
0
0
0
0
26
26
32
8
0
0
0
0
0
0
0
0
0
0
0
8
8
4
36
1
1
1
8
4
8
0
0
2
8
0
8
10
8
8
8
8
8
0
9
4
0
0
16
4
16
4
0
4
0
0
1
1
1
8
8
0
1
8
26
18
18
18
18
18
2
24
0
0
16
9
0
0
0
8
8
8
16
16
1
0
0
0
16
4
0
22
22
1
8
8
8
0
0
0
16
0
0
0
0
0
0
0
0
0
0
8
8
49
16
16
16
16
16
8
16
16
0
16
0
0
16
16
4
4
8
8
0
8
8
0
8
0
9
16
0
1
0
0
0
0
8
0
0
8
16
16
8
32
32
0
0
0
0
8
22
0
2
2
8
8
4
0
8
8
2
0
16
0
0
0
0
0
8
8
0
8
0
0
0
1
32
0
32
8
8
8
8
0
0
0
8
40
0
0
0
0
0
0
8
0
8
16
16
48
48
8
32
32
32
32
32
0
0
1
8
0
0
0
0
16
0
0
0
0
8
8
0
0
16
16
16
16
0
0
16
0
16
8
8
16
16
8
0
0
8
32
16
2
0
0
24
0
0
1
0
4
4
4
4
4
4
4
32
32
0
16
16
0
8
8
0
0
0
0
0
8
0
1
8
0
8
1
1
8
8
8
8
8
0
1
32
8
2
0
0
0
8
60
60
16
16
8
8
2
0
0
9
9
9
9
9
9
4
4
4
0
24
24
0
0
8
16
8
0
16
16
16
8
2
16
0
0
8
8
16
1
1
0
0
8
24
24
24
0
18
1
0
8
16
16
32
32
0
0
0
0
8
0
0
0
0
0
0
0
3
4
9
0
8
10
24
16
8
8
0
0
8
8
8
8
8
8
8
16
16
9
0
0
8
0
1
0
12
8
0
8
8
8
0
0
0
4
0
9
9
20
16
0
0
0
0
16
16
0
20
0
0
0
0
8
4
0
0
1
16
18
8
0
24
0
2
1
1
0
16
4
4
4
0
0
0
0
16
16
16
0
0
4
4
0
0
0
8
8
0
18
16
8
8
8
0
0
10
2
2
8
8
8
4
8
0
0
0
0
0
0
0
0
8
0
16
1
1
0
0
0
0
1
0
0
0
16
16
16
16
8
8
8
8
8
8
8
0
0
0
0
0
25
4
4
16
8
0
1
8
17
0
0
0
1
9
0
0
1
9
21
0
8
8
0
0
0
2
2
0
0
16
16
0
17
17
0
0
0
0
0
0
0
16
16
16
56
0
0
0
0
40
0
0
16
16
16
16
8
8
8
8
0
0
0
4
4
0
0
0
0
16
0
0
0
0
8
8
16
4
8
0
0
8
0
0
16
16
2
2
2
2
2
0
20
16
8
0
0
0
4
16
26
26
26
26
8
0
0
0
2
0
8
8
0
32
0
0
0
0
0
0
1
1
0
4
2
16
16
8
4
4
0
0
0
8
8
0
0
0
0
0
4
0
4
4
8
0
16
8
0
8
8
1
1
1
0
0
2
4
4
0
0
16
2
2
0
21
0
1
1
1
8
8
0
0
0
0
32
16
16
16
16
0
0
2
0
0
0
56
56
0
0
0
8
8
0
0
0
1
1
16
16
0
0
12
0
0
0
0
25
1
1
0
0
0
0
8
8
8
8
8
16
8
8
4
1
8
8
0
8
0
0
0
0
8
0
0
0
9
9
9
9
0
0
0
0
0
0
0
0
0
44
24
24
8
0
0
0
8
16
16
16
16
8
0
8
0
16
16
16
16
16
0
1
16
16
16
16
8
4
4
3
8
0
8
5
5
20
20
2
2
2
2
2
2
0
0
2
0
16
0
20
0
0
0
4
0
0
0
33
0
0
0
16
4
32
4
0
0
0
10
10
0
0
0
0
8
16
4
4
16
16
28
24
2
16
16
16
16
16
0
0
0
12
12
16
16
1
0
0
0
0
0
0
9
16
4
4
16
16
24
24
4
8
8
8
8
8
8
8
8
16
16
16
4
4
0
0
0
0
0
8
24
24
8
8
8
8
8
8
8
40
10
21
5
5
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
6
0
8
2
16
0
2
2
18
18
4
4
0
2
2
16
16
2
2
2
2
16
2
40
16
16
16
8
16
16
16
16
16
0
0
24
24
1
1
1
1
1
16
16
8
16
16
0
0
16
0
0
0
0
0
0
0
2
0
1
4
4
0
0
24
32
32
4
8
8
0
0
16
24
0
0
1
1
0
1
1
1
0
8
16
0
16
0
0
8
0
0
0
1
16
16
16
0
0
32
0
0
0
4
16
32
32
24
24
24
0
16
0
0
0
0
24
2
2
2
2
0
1
1
1
4
16
16
8
8
0
0
0
8
0
0
1
6
0
0
16
1
1
1
0
0
0
0
8
16
16
0
0
0
0
8
8
8
0
0
8
8
24
24
4
16
16
1
8
18
2
2
8
8
8
1
44
8
1
8
16
0
8
8
1
8
8
16
1
1
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
2
8
16
16
8
1
8
8
8
8
20
20
4
4
1
0
0
0
0
0
16
16
8
0
0
16
16
16
16
4
0
2
8
4
0
0
0
0
32
32
8
8
16
0
0
2
1
0
8
8
12
0
0
0
2
0
4
0
0
0
0
0
0
16
24
24
24
24
24
0
10
0
4
16
48
48
0
3
16
16
16
8
16
16
16
16
16
16
16
16
16
56
56
16
2
2
2
0
8
8
0
0
16
16
0
8
8
1
38
8
0
0
8
8
8
8
4
4
4
0
8
0
8
8
8
0
8
2
38
16
0
0
0
0
0
1
1
8
24
36
16
0
0
2
0
0
0
0
0
0
0
0
0
8
16
16
0
0
0
25
25
25
25
8
0
0
0
24
24
24
24
24
24
24
24
24
24
24
24
24
24
0
8
0
24
24
0
0
0
0
0
18
18
4
0
8
12
0
8
0
16
0
0
0
16
16
0
4
0
1
8
8
8
0
8
0
8
8
8
8
0
16
2
0
0
0
0
8
0
4
8
16
16
16
16
8
1
1
0
0
0
0
0
11
0
0
0
0
0
1
0
0
0
28
0
0
0
0
0
8
0
0
8
8
0
8
8
0
0
1
4
4
4
24
0
0
10
2
2
2
2
2
0
0
8
0
0
0
0
8
0
0
8
8
8
8
8
8
8
16
16
0
0
0
8
0
0
0
0
0
0
0
16
0
0
2
20
32
8
0
0
24
8
0
0
0
8
8
8
0
0
32
0
4
10
10
10
10
10
1
8
28
28
28
16
16
0
0
0
1
1
1
1
1
1
0
28
28
0
0
8
0
5
16
16
16
16
16
16
16
16
16
16
16
8
8
0
0
16
8
8
16
16
16
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
8
16
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
2
16
0
6
6
16
18
0
0
8
8
0
12
8
18
18
0
0
2
16
4
4
4
1
8
0
0
12
12
0
0
16
16
16
24
16
16
8
8
0
8
8
8
16
0
16
16
1
1
1
0
8
0
8
2
2
0
4
4
12
12
12
18
1
4
0
4
8
0
8
16
16
4
0
8
16
16
24
24
0
16
1
0
0
0
0
8
8
8
2
2
1
0
16
0
2
2
0
8
4
8
0
32
32
8
8
0
0
4
4
4
16
28
28
0
0
0
16
16
16
16
0
0
8
1
1
1
8
8
8
8
0
0
8
8
0
8
0
16
16
1
1
18
0
0
0
0
1
4
4
2
0
0
0
9
0
6
8
16
16
0
0
4
4
16
0
8
0
0
0
2
2
2
2
2
0
16
16
4
4
4
4
8
8
16
16
16
1
0
0
0
1
0
8
24
24
24
24
24
24
32
0
20
4
4
0
0
0
57
16
16
2
0
0
0
16
8
8
24
16
0
32
0
0
0
0
0
0
21
8
8
8
0
0
16
1
1
1
1
0
0
0
0
0
2
2
2
2
16
24
24
0
0
4
4
4
0
2
2
0
8
0
0
0
2
2
1
1
1
16
17
17
0
0
0
16
4
8
0
0
0
26
16
0
0
0
0
0
0
16
0
16
17
8
12
0
0
9
0
8
8
8
0
0
0
0
0
24
0
0
0
0
0
0
0
8
16
0
6
0
1
30
8
0
57
57
0
16
0
0
0
12
12
12
0
27
27
16
16
0
0
8
6
6
1
0
2
2
2
0
18
0
0
16
0
0
0
0
8
8
16
16
17
17
17
17
17
17
0
0
0
16
0
0
0
0
32
8
8
8
4
4
16
0
0
0
0
8
0
0
0
16
8
8
0
8
8
0
1
1
1
1
0
0
0
4
1
8
0
8
0
4
0
0
16
4
16
0
0
1
0
0
0
2
0
0
0
4
8
0
0
2
2
2
0
19
4
0
0
0
0
32
32
32
3
3
16
16
16
0
0
0
0
0
0
0
0
0
0
0
8
16
0
2
0
8
0
0
0
16
8
8
0
8
8
24
24
0
0
0
0
0
49
16
16
0
32
1
8
0
0
0
0
0
0
0
0
0
0
8
8
0
16
16
8
4
1
0
0
8
16
16
0
0
8
8
8
20
20
20
20
0
0
0
1
16
16
4
0
23
40
0
16
0
0
8
4
0
8
4
16
17
0
0
0
0
12
8
0
16
17
17
17
0
8
32
0
45
45
16
0
0
0
0
0
8
8
0
0
0
16
8
8
0
0
8
32
18
18
4
0
0
0
2
2
8
16
17
8
8
8
20
16
0
2
2
2
0
4
0
0
0
16
16
16
16
0
0
0
0
8
0
13
13
1
1
0
0
8
8
0
0
0
0
0
24
16
0
0
4
1
8
8
8
8
8
8
8
8
8
0
0
0
0
0
16
0
0
0
9
8
8
2
8
8
0
1
0
4
4
8
16
16
8
8
0
0
0
0
2
0
4
4
4
8
24
8
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
2
8
8
0
0
4
0
0
24
0
0
0
0
0
36
16
0
0
0
0
0
8
8
32
0
0
0
2
2
0
1
16
1
8
0
0
0
0
0
8
28
0
0
16
0
0
2
0
0
0
0
0
4
0
0
32
2
0
0
4
16
8
0
4
4
0
8
4
4
4
8
0
0
2
2
2
2
0
4
0
24
8
8
0
0
0
8
16
4
10
0
0
0
2
0
24
8
16
16
2
2
20
20
0
0
0
0
8
8
20
8
0
0
0
4
4
9
8
0
0
28
0
1
0
4
4
4
1
8
2
0
10
10
10
16
16
0
8
8
24
0
0
0
8
0
4
4
32
0
0
16
0
16
16
16
2
8
8
2
2
16
0
1
1
1
0
1
1
32
0
16
16
16
0
0
0
0
0
0
0
4
24
0
0
8
0
0
0
0
0
0
0
0
8
16
8
0
0
0
0
8
8
16
4
4
0
16
0
0
8
8
32
0
0
0
0
0
0
0
0
0
8
2
0
0
0
2
2
0
0
0
16
0
0
4
0
0
18
18
0
0
8
8
17
0
8
0
0
1
0
16
16
0
0
16
6
0
0
0
0
0
0
0
2
8
8
2
24
0
0
16
16
3
3
0
0
0
8
8
0
0
1
1
4
0
0
8
0
0
8
8
8
48
0
0
0
0
0
8
0
0
0
24
1
8
0
0
0
2
0
0
0
0
0
0
0
0
0
16
16
16
16
16
16
16
16
0
0
2
0
0
0
0
0
0
0
0
0
0
1
1
0
8
8
0
4
48
48
16
16
0
16
16
0
0
8
8
2
0
8
8
0
4
4
0
0
0
16
16
16
0
0
0
8
0
27
27
16
4
2
8
2
0
0
1
8
8
0
0
0
0
0
8
8
0
0
1
1
1
16
2
0
0
4
0
3
3
3
3
4
16
1
8
16
0
4
4
0
0
0
16
1
0
0
0
0
5
5
8
8
8
8
16
8
0
0
0
0
0
24
12
8
8
8
8
8
8
8
8
41
0
8
0
0
0
8
8
2
16
16
0
1
0
1
0
5
8
8
24
8
0
0
0
0
0
0
2
24
16
0
0
0
20
0
0
0
0
0
20
0
32
32
0
8
8
4
16
16
8
0
0
20
20
8
52
16
16
16
16
16
0
0
8
0
0
0
0
0
0
4
4
1
1
1
16
0
8
8
20
6
4
0
6
4
0
16
0
16
9
9
0
0
0
1
0
0
8
8
8
8
0
16
0
0
0
0
0
0
0
0
1
1
1
1
2
4
4
4
4
4
4
0
0
33
33
0
24
0
16
0
4
0
0
0
0
0
0
8
8
8
0
0
4
4
0
16
8
8
8
8
18
0
16
4
8
8
0
1
0
8
0
0
0
8
8
24
24
24
16
16
16
1
16
8
8
8
8
8
0
0
0
0
4
8
8
8
8
8
8
8
18
0
0
0
0
0
4
0
0
0
8
0
0
0
2
16
36
0
0
8
12
48
16
8
8
8
4
16
0
0
16
4
16
16
0
0
8
8
0
24
0
0
3
8
8
8
0
2
2
4
4
0
0
0
0
4
0
0
8
8
8
8
0
0
2
1
0
24
8
16
0
8
8
2
17
17
17
0
0
0
8
4
0
0
13
13
0
0
0
0
0
2
8
4
0
0
0
16
4
0
0
0
26
0
1
8
8
8
0
0
0
0
4
4
0
0
1
1
16
0
0
0
0
0
0
0
0
4
0
16
2
16
4
4
26
0
0
0
8
8
0
4
4
7
7
7
16
16
0
16
0
16
0
0
0
0
8
1
8
0
8
1
1
1
8
0
2
0
0
8
0
2
0
0
8
0
16
0
0
0
0
17
0
0
1
8
8
0
1
1
1
1
1
8
5
0
4
8
0
0
0
0
0
0
8
8
8
0
16
2
8
0
0
0
0
8
16
0
8
16
16
16
26
8
8
8
0
8
0
24
0
0
8
4
0
0
0
1
1
0
8
8
8
8
8
8
0
0
0
0
0
0
0
0
5
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
16
16
0
6
0
0
0
0
32
8
8
0
16
16
4
8
1
8
0
0
0
0
0
2
32
8
0
0
0
0
0
0
0
0
0
8
24
24
24
24
26
0
0
1
1
0
0
16
4
0
8
8
8
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
8
0
2
2
8
16
16
0
0
0
0
16
0
20
8
8
1
0
4
8
0
0
0
0
2
2
0
0
0
0
0
0
0
0
8
0
0
0
2
2
8
2
16
0
0
4
16
8
8
1
1
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
2
16
16
8
8
8
24
24
24
24
24
4
4
0
16
0
0
8
8
0
16
56
56
1
0
2
16
16
8
0
0
8
0
8
2
0
1
0
0
16
16
0
0
1
0
0
16
24
0
0
16
8
0
48
48
0
16
16
16
16
16
8
0
0
1
0
0
0
0
0
0
0
8
0
0
0
8
8
0
0
0
0
0
0
4
0
8
16
0
0
0
0
0
0
0
0
0
0
0
0
2
16
0
2
2
0
0
0
0
0
2
0
16
16
8
0
0
8
20
0
4
12
0
0
8
24
16
0
8
0
0
0
12
0
0
16
0
0
0
0
0
16
0
4
8
8
0
8
8
0
0
1
1
0
10
10
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
17
0
0
8
8
8
4
0
8
8
8
4
0
0
0
0
6
6
6
6
0
16
0
22
22
0
8
0
0
1
4
2
0
0
0
0
4
4
6
6
4
0
0
0
0
0
1
0
8
8
0
0
0
0
0
24
0
0
0
16
16
0
8
28
28
28
28
28
28
0
8
8
0
1
1
0
8
0
0
8
8
8
8
1
2
1
1
0
0
0
24
0
16
0
0
4
4
4
4
4
16
0
0
0
0
8
45
45
0
0
0
0
0
16
16
16
16
0
0
0
0
0
0
4
4
0
8
0
0
8
8
0
0
1
0
8
8
0
4
4
0
0
0
0
0
0
0
40
0
1
1
1
8
13
0
18
18
18
18
18
20
20
0
0
2
24
16
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
0
0
8
0
0
0
0
0
0
0
8
8
16
0
0
0
0
8
2
1
0
8
8
2
2
0
0
0
8
8
16
0
8
0
0
0
0
0
0
0
8
0
0
1
0
0
0
0
0
16
24
0
8
0
0
16
16
0
26
0
1
1
12
12
12
12
12
16
0
0
0
0
4
4
0
0
0
0
0
8
58
24
16
32
1
0
24
8
8
8
0
16
0
0
0
0
0
0
0
5
5
0
24
0
0
0
0
8
8
0
0
1
8
4
24
24
0
0
0
0
8
8
0
8
8
0
52
0
16
16
8
0
8
0
34
0
0
19
0
4
1
1
32
8
0
16
0
0
2
8
0
0
8
8
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
8
0
8
0
0
20
20
16
0
2
0
0
0
0
32
32
32
32
8
8
8
0
0
0
0
0
8
32
2
0
0
0
1
0
0
0
16
8
1
0
8
8
0
8
0
4
4
4
4
8
0
0
18
18
0
0
0
0
0
16
0
0
8
17
17
0
8
0
0
24
24
24
24
24
24
24
0
0
16
4
0
40
0
0
16
9
2
0
1
0
17
0
0
9
0
0
0
16
16
0
0
16
8
0
0
0
0
16
8
0
0
0
0
8
0
0
0
16
0
8
0
0
0
0
0
8
0
0
0
16
0
8
8
8
0
0
0
1
16
0
0
0
0
0
8
16
16
0
8
16
8
4
4
4
0
2
0
0
0
48
48
48
16
0
33
0
0
9
9
16
0
16
4
1
8
24
16
0
8
8
8
8
0
0
0
8
8
18
18
9
0
4
0
0
0
8
8
0
0
0
0
16
16
16
8
0
16
16
0
4
8
16
0
40
2
2
0
0
0
0
8
8
0
8
8
0
0
0
0
16
8
0
8
8
0
0
8
8
8
16
0
8
18
16
16
0
16
16
16
16
8
16
0
0
0
8
16
16
16
0
0
8
0
0
8
8
16
0
0
4
0
16
16
16
16
0
8
8
0
0
3
16
17
0
0
0
8
2
2
0
24
24
24
0
0
0
0
0
0
0
2
0
0
0
8
8
16
8
8
8
18
18
17
0
0
0
0
25
25
16
8
8
0
16
0
0
0
16
0
0
9
8
0
8
0
0
0
24
0
1
0
0
0
0
16
16
16
16
16
8
8
4
0
8
33
2
16
0
8
0
8
8
0
0
0
0
20
16
0
0
0
41
0
0
0
2
2
2
16
16
0
2
2
0
16
32
32
0
0
8
0
60
16
8
16
16
0
0
0
8
16
16
8
0
0
0
0
16
16
0
0
0
0
8
8
8
14
8
0
0
0
16
0
8
0
0
0
8
0
16
16
0
1
24
0
0
0
0
0
0
0
0
8
8
0
2
16
8
8
8
0
0
1
8
16
0
0
0
8
8
34
34
8
1
8
4
8
8
0
0
0
0
0
16
8
0
0
8
0
0
16
8
0
8
0
24
0
0
0
0
0
16
16
8
8
27
27
8
0
0
0
0
16
8
4
0
0
0
0
0
0
0
8
1
8
0
0
0
0
24
24
0
8
24
24
24
24
24
24
0
0
0
0
16
8
24
0
0
0
0
0
8
0
16
16
0
16
16
0
0
8
0
0
0
16
8
8
24
0
0
17
0
0
0
0
8
4
0
0
0
8
8
8
16
0
8
0
0
0
0
0
4
0
0
0
8
8
8
0
0
8
8
8
0
0
8
0
0
0
0
1
16
0
0
0
0
8
16
0
8
1
1
0
1
8
0
8
1
0
16
17
0
0
0
0
0
17
0
8
8
8
0
0
0
4
8
8
8
2
0
8
0
0
0
8
0
0
0
4
16
16
0
0
16
16
16
0
0
0
1
1
0
0
0
0
0
0
0
16
0
8
8
1
8
0
8
16
4
0
0
0
4
2
2
16
0
8
0
0
0
2
0
0
8
8
8
0
0
0
0
8
8
8
0
0
0
1
16
48
1
1
0
0
8
4
8
0
8
0
8
1
8
8
8
0
8
8
8
16
0
0
8
8
0
16
0
0
0
0
0
0
16
8
12
12
12
0
0
0
0
8
1
4
0
0
16
0
0
0
0
0
0
4
0
16
16
16
16
0
0
1
1
8
16
16
16
0
0
0
0
0
8
8
4
4
2
2
24
0
0
0
22
22
8
8
4
4
1
1
1
0
0
0
0
0
8
16
8
2
0
0
16
0
0
0
0
8
24
24
0
0
8
8
8
0
16
16
16
0
0
4
1
1
0
0
0
19
8
8
8
0
16
8
18
8
8
8
8
8
8
8
8
8
8
8
12
32
0
0
0
1
4
16
0
0
8
8
8
8
8
16
24
16
16
8
0
0
0
0
0
20
0
0
0
16
0
8
8
0
0
0
16
4
24
2
2
0
0
6
6
0
0
8
8
8
0
0
0
16
0
0
4
4
0
16
0
0
0
0
1
4
4
4
8
0
16
16
0
0
0
17
0
0
8
0
4
0
8
17
0
0
8
16
16
2
2
2
4
1
0
0
16
0
4
0
0
16
0
8
0
6
6
16
8
8
16
0
16
0
16
8
0
0
0
0
0
12
12
32
0
16
0
48
8
8
17
0
0
0
0
0
0
0
8
8
8
8
8
8
0
0
8
8
24
0
16
16
16
16
16
8
0
0
8
0
0
8
2
2
2
0
8
8
8
0
16
16
16
0
18
0
0
0
0
0
0
0
0
16
0
0
1
1
0
0
0
14
0
0
16
16
16
16
16
10
10
0
0
16
16
4
24
8
8
8
8
8
27
0
0
8
0
0
0
0
0
0
12
0
1
40
40
0
0
8
0
0
8
0
0
0
8
8
8
8
8
0
16
0
1
0
0
16
0
0
8
20
16
16
8
0
0
0
8
0
0
1
1
16
0
2
0
0
16
16
16
16
16
0
2
16
16
0
0
8
0
16
8
0
0
0
0
16
16
0
0
0
2
13
0
8
8
20
0
0
8
0
1
8
0
17
17
0
0
0
16
0
4
4
25
0
1
1
1
0
33
33
16
16
0
40
40
40
0
0
0
0
0
0
0
0
0
0
16
16
8
16
24
0
0
0
0
18
0
25
24
8
16
0
0
0
8
8
8
24
0
0
8
16
0
8
29
0
8
8
0
0
2
0
1
4
4
2
0
16
8
8
8
0
0
0
4
4
4
4
21
4
4
4
16
0
0
0
2
1
0
32
32
2
0
0
12
0
0
16
8
36
36
36
8
8
8
2
8
8
0
1
0
8
0
0
1
1
24
16
0
0
16
0
8
8
8
8
0
0
0
0
0
0
0
0
8
8
16
16
16
9
8
8
9
8
8
0
4
8
0
8
8
16
0
8
8
0
8
17
0
8
8
0
0
0
16
0
33
0
1
1
1
0
22
0
0
0
8
1
8
8
0
8
0
0
4
0
16
8
0
0
2
0
0
16
0
8
0
0
0
8
0
0
0
40
0
0
8
16
0
0
0
16
16
16
24
8
8
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
4
4
16
0
8
12
12
16
4
0
0
10
0
40
0
8
8
41
8
0
0
8
0
0
0
16
0
0
0
0
0
0
2
8
2
0
8
8
8
8
33
4
0
0
0
0
8
0
1
16
0
4
4
16
20
20
29
26
26
26
26
8
8
8
8
8
8
8
4
4
3
16
0
0
0
8
6
0
0
0
2
0
8
8
8
8
5
5
8
0
4
0
0
16
8
8
8
16
16
0
25
0
8
8
0
0
8
4
0
0
0
0
4
4
4
4
4
0
8
0
4
4
4
0
0
8
8
8
17
8
8
8
0
0
0
0
0
0
0
0
0
16
1
0
0
0
8
16
8
0
41
0
1
1
16
1
0
0
0
16
8
8
8
1
0
8
4
0
0
0
16
0
8
8
8
8
8
8
8
0
0
0
0
16
8
4
0
0
0
8
8
8
8
8
8
8
0
2
0
0
0
0
0
8
0
16
0
0
4
0
16
0
0
1
0
8
4
0
0
10
4
4
16
8
32
0
8
8
4
0
8
16
1
1
0
0
0
0
0
36
0
8
0
8
16
8
8
8
16
16
16
0
4
8
8
0
0
16
0
8
8
8
8
0
0
0
33
33
0
0
16
0
0
0
0
0
0
0
0
0
8
8
8
0
0
16
8
0
0
0
4
0
0
4
8
8
1
1
1
8
0
8
8
8
8
1
0
8
8
4
0
0
0
0
0
0
8
8
0
0
4
0
0
12
16
28
1
1
1
24
16
0
16
1
8
8
4
8
0
0
8
8
6
0
0
0
24
0
20
0
25
0
6
0
0
8
8
0
0
16
0
16
32
8
16
16
0
0
0
2
8
8
24
0
8
0
0
1
0
0
8
0
0
0
0
2
0
0
0
0
0
8
4
8
8
0
22
8
16
0
0
0
0
4
4
0
0
0
0
0
0
0
8
8
8
0
0
0
0
6
8
0
2
0
1
16
16
0
0
0
0
8
0
0
8
8
8
8
8
8
8
8
0
14
8
16
16
0
0
0
8
8
8
0
0
16
0
16
0
0
1
8
16
0
0
48
24
17
0
16
16
0
0
0
0
0
18
18
24
0
8
8
8
8
0
0
0
8
20
20
4
4
8
8
8
1
12
8
8
8
0
8
8
2
0
0
0
9
4
24
0
0
0
4
4
0
0
0
0
0
0
0
1
0
4
16
16
16
0
0
0
8
0
0
0
0
16
16
8
0
0
0
20
8
0
16
16
0
0
16
16
4
0
0
0
16
1
1
0
0
0
0
0
0
0
0
2
4
16
20
4
4
4
0
16
8
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
8
8
0
32
8
0
0
0
0
8
8
0
0
0
0
0
0
0
0
2
2
2
0
8
8
16
16
0
0
0
0
32
0
0
0
8
0
0
4
1
16
8
1
0
0
0
4
16
16
16
0
0
0
0
0
4
0
0
0
0
0
0
0
8
8
0
8
8
8
32
20
1
0
0
8
36
8
0
0
8
8
8
0
4
8
10
8
16
1
4
0
0
8
12
12
8
8
0
0
0
0
17
17
0
8
1
16
16
0
0
0
0
0
0
0
0
0
0
0
0
16
0
1
9
9
16
24
8
0
16
8
1
2
0
0
0
0
8
0
0
0
0
0
8
8
1
0
0
0
0
32
16
16
4
4
4
8
0
4
16
0
0
0
0
0
0
0
8
32
32
0
0
0
0
8
0
14
8
0
2
2
0
1
0
0
6
8
8
8
8
0
0
0
0
8
8
8
0
8
8
17
16
0
0
0
0
0
0
8
0
0
2
0
0
0
0
0
0
0
16
16
0
0
8
16
0
2
8
8
16
0
0
0
0
0
8
8
0
8
8
0
0
0
0
0
0
1
0
8
0
0
0
24
0
0
32
0
8
8
8
0
16
16
0
8
8
0
16
0
8
0
8
0
0
16
16
0
0
8
8
0
0
16
0
0
0
0
0
0
8
8
8
8
2
6
6
4
0
0
0
0
0
16
16
32
0
2
2
4
0
0
8
0
2
2
2
0
0
0
0
16
0
0
8
8
8
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
8
8
16
16
8
8
0
0
0
0
8
1
0
0
1
4
4
0
0
8
16
17
17
8
0
0
8
8
8
0
4
0
0
0
0
0
0
0
24
0
24
24
24
8
8
0
0
16
0
0
12
0
0
0
8
4
2
0
8
0
0
0
0
0
1
20
10
0
32
16
16
16
0
0
0
4
4
32
16
1
0
4
4
0
0
0
8
0
0
0
0
8
0
0
16
16
1
8
0
0
1
8
16
0
2
0
6
0
16
0
0
8
0
0
0
0
4
4
8
0
1
16
20
0
8
8
2
32
32
0
0
0
0
0
8
0
1
1
0
0
0
0
8
17
17
4
16
0
0
0
12
0
0
0
0
16
8
8
8
16
16
16
0
16
16
16
16
16
0
0
0
0
33
0
8
8
0
0
0
0
32
8
8
8
8
8
8
0
1
8
8
8
16
0
0
0
0
0
8
8
0
8
8
0
4
0
0
0
16
8
8
8
0
2
0
2
8
0
0
0
0
8
0
0
16
16
16
0
0
0
0
0
16
4
20
16
16
0
0
0
5
5
0
0
0
0
0
0
0
0
0
0
0
8
8
16
0
8
8
8
20
8
8
0
0
0
0
0
0
0
24
8
8
8
24
8
0
0
0
0
20
20
0
0
0
3
0
16
16
16
16
16
16
16
16
16
16
16
16
0
16
16
0
0
0
0
0
16
20
20
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
16
1
0
0
0
0
6
6
2
2
0
0
0
0
0
0
0
8
8
8
0
0
0
8
8
4
0
0
2
0
0
0
0
0
19
0
0
0
0
0
16
16
8
0
0
0
1
16
16
0
0
0
0
0
0
0
0
18
18
8
8
1
0
4
8
0
0
8
8
8
16
1
1
33
32
0
16
8
0
8
8
8
8
0
0
0
16
0
0
0
4
4
0
0
0
8
8
0
0
0
0
16
16
16
40
0
4
0
0
0
0
0
0
0
48
48
48
0
20
0
17
32
0
0
0
2
2
1
2
2
1
1
1
1
1
0
16
8
14
32
0
24
8
16
8
0
0
0
0
0
0
0
0
0
0
0
0
8
16
16
16
16
0
16
2
24
0
0
8
0
0
8
8
8
7
0
1
1
8
2
0
0
16
8
8
8
8
0
0
0
8
0
16
28
28
28
0
0
0
0
0
0
0
3
2
2
24
9
0
24
8
32
0
0
6
0
0
0
2
8
0
8
8
0
16
0
0
0
8
8
0
0
0
0
0
0
0
0
16
16
16
0
0
0
20
0
8
8
8
0
0
8
0
8
8
0
16
0
0
0
0
16
16
16
16
0
0
0
16
0
0
0
8
0
28
28
0
16
16
0
0
0
0
0
0
0
16
0
4
24
0
8
1
0
0
0
0
0
0
8
8
16
2
4
4
16
0
8
8
8
8
0
0
4
4
33
2
0
0
0
0
0
0
0
4
20
0
0
16
0
0
0
0
0
0
0
16
0
16
0
0
0
0
16
8
8
0
0
8
8
8
8
8
8
0
8
8
0
8
16
0
0
8
45
45
45
45
45
45
45
0
0
0
8
0
0
0
1
1
1
1
1
0
0
0
0
16
0
4
0
0
0
0
16
0
16
8
32
8
8
1
1
1
1
1
1
1
17
8
0
0
0
32
0
0
0
0
8
0
22
22
8
16
16
16
16
24
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
8
8
8
16
0
0
4
8
20
0
0
0
16
16
8
8
8
0
4
0
0
16
16
0
8
0
16
18
0
0
0
0
16
4
8
8
0
0
0
0
0
0
0
0
0
0
0
8
12
0
8
8
8
0
0
0
16
0
4
4
0
0
0
0
4
0
16
0
0
1
0
4
0
0
0
0
0
0
8
8
8
8
0
0
16
16
16
16
8
0
0
1
0
0
0
8
8
8
0
16
0
0
0
8
8
8
0
2
0
20
20
20
20
0
8
8
0
0
0
8
16
2
0
0
0
0
4
0
0
8
9
0
17
17
0
8
0
20
10
8
8
8
0
1
0
2
16
16
16
0
0
0
0
8
8
0
0
0
20
20
8
0
0
8
0
0
0
0
1
0
0
19
19
2
2
2
2
2
2
12
8
0
8
8
24
0
8
8
8
1
12
16
4
0
0
0
0
2
0
0
0
0
0
8
8
8
8
0
8
0
8
8
0
24
24
0
0
0
6
6
24
24
8
8
4
0
16
4
4
8
8
0
8
0
8
8
0
0
18
18
0
0
0
0
0
1
1
2
0
16
1
0
0
17
0
8
8
4
0
0
0
0
24
24
24
0
16
16
0
8
1
8
8
20
8
8
1
0
8
0
4
0
0
16
3
16
8
4
0
0
4
0
16
0
1
1
0
0
8
1
1
1
1
24
4
4
9
4
1
0
0
0
0
0
0
0
0
0
0
0
8
8
8
16
4
0
0
0
0
8
8
0
0
0
0
1
0
9
16
1
0
16
0
0
0
0
0
0
0
0
0
0
12
16
0
0
1
1
2
4
0
4
0
0
0
8
8
8
8
8
8
12
8
0
16
4
6
8
16
48
8
0
4
8
1
1
1
1
16
0
0
24
8
0
0
0
0
0
0
0
16
0
0
0
0
0
0
24
8
8
8
8
8
8
0
8
0
0
0
0
0
0
0
0
0
0
0
21
0
1
1
8
0
16
8
0
8
8
8
16
0
16
0
0
8
0
0
0
5
0
0
0
0
0
8
8
8
0
0
16
0
16
0
0
0
16
16
16
16
0
0
0
4
12
0
0
0
0
0
0
8
32
3
3
0
8
16
8
16
8
8
0
32
36
36
36
36
0
0
8
0
0
0
4
8
0
8
8
0
19
19
16
16
0
0
8
8
0
0
1
0
8
0
0
1
0
2
16
4
4
0
0
0
0
2
0
0
0
0
0
0
0
16
0
0
16
16
0
0
0
0
8
0
0
8
8
0
0
0
0
0
0
16
16
16
16
8
0
0
0
0
8
8
0
0
0
16
16
16
0
0
0
0
4
4
0
0
1
8
8
0
0
0
0
0
0
0
0
0
0
0
25
0
0
0
0
0
0
0
40
40
0
0
0
0
16
16
16
0
0
0
0
24
0
0
0
0
8
0
8
8
8
8
0
0
0
0
0
0
32
32
32
0
2
16
0
16
16
0
4
5
0
0
0
37
37
18
0
0
0
0
0
0
16
8
0
0
0
0
0
17
0
8
8
16
0
0
0
16
2
2
0
0
0
17
17
24
16
0
8
8
0
26
26
26
26
26
0
0
1
1
1
1
8
0
0
0
2
2
0
0
0
0
0
0
16
24
16
8
0
0
0
8
8
8
0
16
0
0
16
16
16
0
0
0
2
2
2
16
16
0
8
8
17
1
8
0
0
8
24
24
0
0
0
8
0
0
4
4
8
16
16
16
0
0
24
24
0
0
0
8
8
0
0
0
1
16
0
4
8
8
8
8
0
0
0
8
8
8
0
0
16
16
0
0
0
4
16
16
8
16
0
4
0
4
4
4
12
12
12
12
0
0
0
0
0
0
22
16
16
8
2
2
1
0
1
16
8
8
8
12
12
0
0
0
0
16
16
0
48
0
0
9
0
11
16
16
16
24
24
24
2
4
32
0
0
1
0
4
8
0
0
0
0
8
8
1
1
8
1
8
8
8
8
16
0
0
0
0
8
0
8
0
8
24
24
0
2
8
0
16
2
8
0
0
0
32
32
16
8
0
4
20
20
0
16
0
0
16
4
8
8
8
2
16
0
0
60
60
0
0
0
0
8
0
16
1
0
0
1
1
0
8
8
0
32
32
0
0
16
8
8
16
0
0
0
0
0
16
0
0
24
24
24
24
8
8
8
4
4
4
4
0
0
16
0
0
24
0
40
0
0
0
2
4
8
8
8
8
16
16
1
16
0
0
40
1
8
2
16
1
1
8
0
8
8
8
8
0
0
16
0
0
25
16
4
34
0
16
8
2
1
28
16
0
0
16
8
8
24
8
0
1
0
4
12
0
8
0
4
0
17
17
0
8
6
6
0
0
0
0
13
2
2
20
20
0
2
0
0
8
16
16
16
16
2
2
16
16
0
0
8
8
4
6
1
2
0
34
0
0
0
17
48
48
48
48
48
48
0
0
16
8
0
0
2
0
0
0
20
16
16
16
0
8
0
0
0
0
0
8
16
32
32
32
4
16
0
8
8
8
16
0
0
16
32
8
0
1
2
0
0
0
0
0
16
0
0
0
0
0
0
0
58
58
58
0
8
8
16
0
0
0
0
0
16
24
0
0
8
26
26
56
0
0
0
0
8
2
2
16
0
0
2
16
16
16
16
16
0
0
0
16
0
0
8
1
0
16
24
4
0
0
8
26
8
0
8
0
8
40
0
0
0
0
2
2
2
2
0
0
4
0
0
0
8
8
0
0
16
16
16
16
0
8
32
0
16
0
0
8
8
4
4
17
24
8
8
8
8
8
0
0
0
4
0
0
0
16
16
16
2
0
0
0
0
2
2
0
0
32
0
8
0
1
0
20
20
0
0
0
4
0
0
8
1
16
8
8
10
24
2
2
18
18
0
0
0
8
0
0
0
16
16
0
0
0
3
0
0
0
0
8
8
0
0
0
0
0
4
4
0
0
0
0
0
0
0
8
24
24
0
16
16
0
0
10
1
16
16
0
0
0
0
6
0
0
0
0
0
0
8
0
0
16
0
0
8
0
8
8
8
0
0
3
0
0
0
0
0
0
2
4
4
4
0
0
0
0
20
2
0
16
8
0
0
0
8
61
61
0
16
0
0
28
28
0
0
0
0
0
6
6
0
16
0
8
0
2
0
0
0
0
4
0
0
16
16
16
8
8
0
0
0
8
0
0
16
0
1
1
0
8
0
0
16
8
0
16
16
4
0
0
0
0
0
8
8
0
0
8
8
8
0
0
0
0
0
0
0
0
0
16
1
0
4
0
0
0
0
0
5
0
0
18
0
0
0
8
0
0
0
0
0
0
8
8
0
16
0
0
0
2
2
24
2
2
36
10
10
0
16
0
0
0
2
0
0
0
16
2
16
0
16
4
4
0
8
0
1
5
8
2
2
0
0
0
1
16
0
0
0
0
0
0
16
16
0
8
32
0
0
0
0
0
0
0
0
8
0
0
0
8
1
5
5
0
8
8
0
0
16
0
0
0
0
0
16
8
40
0
0
0
0
40
40
8
16
16
16
0
0
8
0
0
0
16
16
8
0
0
2
0
0
0
0
16
4
8
8
8
0
0
0
0
0
0
12
12
0
16
0
0
0
16
0
0
0
0
0
0
0
8
8
0
16
8
4
0
32
32
16
24
4
4
0
0
0
0
4
0
0
2
28
28
0
8
8
0
0
0
0
0
8
8
1
1
1
8
0
4
0
8
4
10
0
0
4
0
0
0
0
0
1
32
0
0
8
16
0
0
0
8
0
0
16
12
12
0
4
0
0
0
0
0
16
16
16
16
16
0
8
0
0
16
8
8
16
28
0
0
0
0
0
0
0
0
0
32
0
0
8
0
0
0
0
0
2
0
0
8
8
8
8
8
8
8
4
9
16
16
16
0
0
0
0
0
0
4
0
4
4
16
4
4
0
0
0
0
2
0
8
8
8
8
16
21
17
0
0
0
8
0
0
0
0
8
0
0
8
8
8
0
0
0
0
0
1
1
1
34
1
0
0
0
1
1
0
0
0
0
8
8
8
32
32
0
16
0
8
0
8
0
0
0
0
8
16
16
16
16
16
16
16
16
16
16
0
40
0
0
0
0
2
0
0
0
0
0
0
0
4
0
1
1
8
8
0
0
0
0
0
8
8
8
0
16
0
0
0
0
0
1
1
1
16
2
8
0
1
0
0
0
0
0
0
0
0
0
16
16
16
16
16
8
16
16
16
16
8
8
8
8
0
0
9
0
0
40
0
0
0
0
16
0
0
0
16
16
8
2
32
2
2
0
0
8
20
20
20
20
0
10
10
0
1
12
0
8
16
0
32
8
0
0
0
0
0
0
0
0
1
8
8
8
0
0
0
0
18
18
0
0
0
0
2
16
16
2
4
16
0
0
8
8
4
9
20
0
0
0
0
0
0
0
4
0
0
0
0
0
2
2
16
0
0
0
0
0
0
1
1
0
16
0
0
0
8
0
0
0
4
0
16
16
7
1
8
8
0
0
52
52
4
4
0
0
0
0
0
0
0
0
0
0
8
0
0
1
8
8
0
16
6
24
24
24
24
0
24
24
24
24
24
0
0
0
0
4
0
1
1
1
1
16
16
16
4
0
8
8
0
0
0
4
0
8
9
0
0
0
2
2
16
0
0
16
9
28
1
0
0
0
0
0
8
0
0
8
4
1
16
2
1
0
0
4
4
0
0
0
16
24
24
16
16
0
0
0
4
4
0
8
5
0
8
8
0
0
8
0
0
1
8
8
0
16
16
0
18
24
0
0
0
0
0
24
24
24
8
0
0
0
0
0
2
0
16
16
0
0
0
0
21
16
16
18
18
18
16
0
8
8
0
2
0
0
8
8
0
0
20
0
0
0
1
1
0
0
16
8
8
0
9
4
4
32
32
16
0
0
8
8
0
0
0
56
4
1
1
20
20
0
2
8
0
16
8
8
8
8
0
8
1
1
1
0
8
36
1
0
0
0
0
16
16
16
9
9
8
1
8
0
4
24
8
1
8
0
8
0
0
0
0
0
0
0
0
0
0
16
0
8
16
16
16
16
16
8
8
0
0
0
0
2
0
0
0
4
8
1
16
0
32
8
0
0
8
0
0
0
0
0
0
8
8
0
0
57
8
0
16
8
24
24
24
32
32
0
0
0
0
0
0
16
2
18
4
4
20
8
8
0
8
8
40
36
16
8
2
0
0
0
0
41
8
0
0
0
8
0
0
0
16
16
16
0
0
0
2
0
57
0
0
24
1
0
17
8
2
8
8
16
0
0
0
0
0
0
8
0
0
1
4
0
0
8
6
0
0
0
0
1
1
1
1
0
8
8
8
8
16
32
32
6
4
1
1
0
4
0
8
8
8
8
0
0
0
1
1
0
0
0
0
5
5
5
8
8
4
36
16
16
0
0
0
8
8
1
0
0
1
8
0
4
2
8
8
2
2
2
8
1
1
0
0
0
0
16
24
0
0
0
0
4
4
0
8
8
8
0
0
16
0
0
0
0
0
16
0
16
16
16
0
0
16
16
16
0
16
8
0
0
4
36
0
8
17
0
0
8
8
8
8
8
0
8
0
0
0
8
0
0
0
0
8
16
16
8
8
8
8
4
0
0
0
0
17
17
4
0
16
0
40
0
8
0
16
16
48
48
0
8
8
8
8
8
0
4
0
0
21
16
0
0
16
16
16
8
8
18
20
16
9
0
0
0
0
0
16
8
8
16
8
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
8
0
0
0
8
0
0
0
48
4
8
0
0
12
0
0
0
0
12
0
0
0
0
0
12
8
0
0
0
0
0
0
16
0
16
0
0
8
0
2
2
0
0
0
16
0
0
0
0
8
0
0
2
8
0
1
1
1
0
8
0
1
0
8
0
0
37
0
0
24
24
0
8
8
16
0
0
0
24
24
8
8
8
4
0
0
0
48
0
0
8
0
8
8
0
8
0
8
0
0
16
16
16
16
0
56
0
0
0
0
16
0
0
0
0
2
0
0
0
0
0
0
0
0
0
8
10
10
10
4
0
8
0
0
0
0
8
8
8
0
0
0
8
8
8
8
8
0
0
8
8
2
2
2
2
2
1
0
8
56
56
8
8
2
2
8
8
18
4
0
0
0
0
0
0
16
0
8
0
0
0
8
8
8
8
4
8
8
8
0
0
0
0
8
8
8
0
0
8
8
0
0
0
1
4
0
0
8
8
0
0
0
0
0
4
4
8
8
17
17
1
0
8
8
0
4
4
0
2
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
8
8
0
8
1
1
0
8
8
8
0
16
4
8
8
0
24
0
40
40
0
0
0
17
17
17
17
17
8
2
28
8
8
0
2
9
12
0
0
2
4
8
8
8
0
6
6
4
0
0
0
0
8
8
8
0
0
0
0
0
0
0
8
1
1
1
1
16
8
8
8
16
16
16
16
0
4
0
16
0
1
0
16
0
0
0
0
8
24
24
16
16
0
0
0
24
0
8
24
0
1
1
4
8
0
16
0
0
0
2
24
8
0
0
0
0
12
12
8
8
8
6
0
2
0
16
0
0
0
4
0
0
4
4
0
0
0
0
0
32
0
32
8
16
0
0
0
0
4
8
0
0
0
10
0
2
0
0
0
17
9
0
0
0
16
0
1
1
1
0
0
0
16
0
0
16
16
16
16
16
0
0
1
0
0
0
0
33
0
0
2
2
2
21
48
2
0
0
8
0
4
2
2
0
0
0
8
0
0
16
16
8
4
16
16
0
0
8
0
0
16
8
24
40
0
0
0
8
16
0
0
8
8
28
28
4
6
0
24
8
0
0
0
0
0
0
0
16
0
0
16
16
4
2
0
0
0
0
0
0
0
0
2
5
8
0
0
0
2
2
0
24
0
4
28
17
25
1
1
1
4
8
3
0
0
8
8
0
0
8
0
0
0
0
8
8
16
8
2
16
16
16
0
16
4
0
0
0
0
8
8
8
8
8
0
4
0
8
0
0
0
12
12
12
0
8
8
0
2
0
0
0
8
16
0
16
0
0
16
16
16
1
1
1
0
21
0
8
8
8
0
4
0
8
0
8
1
2
0
0
8
0
0
0
0
0
8
0
0
25
25
24
0
0
0
10
10
8
16
16
16
0
32
32
0
0
0
8
8
2
2
2
2
8
8
0
0
16
16
16
16
4
0
32
2
16
16
8
8
0
0
17
0
8
8
8
0
0
0
8
0
0
0
0
10
0
24
18
18
18
18
16
16
0
4
8
0
0
0
0
8
8
8
0
7
7
0
0
32
0
8
8
8
0
0
0
16
16
0
0
0
0
16
0
0
0
0
17
0
0
0
0
4
8
8
0
0
4
4
24
0
0
0
0
32
0
18
18
18
0
0
0
0
0
0
0
0
1
1
8
8
8
8
0
0
0
4
0
0
0
0
0
0
9
0
4
1
1
1
16
1
8
0
0
8
8
0
0
0
16
0
0
0
0
0
0
8
4
9
9
0
0
8
0
8
0
0
0
9
9
2
2
2
2
8
0
0
0
16
2
0
8
0
0
0
0
8
8
4
0
0
0
2
8
8
8
0
1
0
0
0
0
0
8
0
0
0
0
0
0
4
4
4
4
4
4
35
16
8
8
24
24
0
0
0
2
16
8
0
8
0
33
0
4
7
3
32
32
0
0
0
20
0
8
8
8
8
0
8
19
16
16
16
4
4
1
1
18
8
16
0
1
9
8
8
0
1
1
0
8
8
0
8
8
1
1
1
1
2
2
4
0
0
0
0
0
16
8
8
0
4
0
0
0
0
0
0
0
4
1
0
0
0
2
16
0
0
0
0
12
8
8
8
0
16
16
0
0
16
16
18
18
0
16
8
8
1
0
0
0
0
0
2
1
8
0
0
0
0
0
0
0
0
0
0
0
16
8
8
0
0
6
0
0
0
8
8
0
1
1
25
24
16
16
0
8
0
0
8
0
0
0
0
32
4
4
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
16
8
8
0
0
0
1
0
16
0
16
8
8
8
0
0
8
0
8
8
0
13
13
0
0
0
0
8
8
8
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
7
0
0
0
0
0
0
2
2
20
8
8
8
0
16
16
1
16
8
8
8
0
0
0
16
0
0
0
0
1
0
8
0
8
8
0
0
0
0
16
0
1
16
16
4
4
4
8
8
8
8
16
16
1
1
0
0
0
0
0
0
0
0
8
1
0
0
0
16
16
16
0
0
8
0
0
0
0
0
0
8
0
0
0
0
0
8
8
0
0
0
16
18
18
0
0
0
21
21
21
0
0
0
26
24
4
0
0
20
8
0
0
0
61
0
0
0
0
0
16
16
8
0
0
16
16
8
0
0
0
24
0
16
16
21
0
0
0
8
8
16
1
24
24
24
0
0
16
16
8
0
0
0
4
8
4
4
4
0
0
10
25
8
8
8
8
0
0
8
4
17
12
12
16
0
4
16
8
8
8
8
16
8
8
8
8
8
8
16
34
4
0
16
8
0
0
0
0
8
8
4
4
0
40
1
1
0
16
1
1
4
16
8
8
8
0
0
16
25
25
25
16
16
0
1
0
0
0
0
8
0
8
8
8
8
8
8
8
4
2
0
4
8
1
1
8
8
2
0
0
8
32
32
0
0
0
0
8
0
0
0
1
0
8
8
8
16
0
1
16
0
0
8
8
2
0
8
0
0
0
0
0
0
0
8
0
24
8
4
0
0
0
16
4
4
0
4
8
0
0
0
0
16
0
16
16
0
0
0
0
8
5
0
16
0
16
16
4
16
8
8
8
16
16
0
0
0
8
8
0
12
12
12
0
2
4
4
0
0
0
0
0
0
0
2
0
0
2
0
8
0
0
0
0
0
0
32
16
16
8
8
8
8
0
0
0
0
4
0
0
0
2
4
4
24
0
0
0
0
0
0
0
4
0
0
16
16
0
0
0
16
16
8
0
0
4
4
16
0
0
0
0
0
0
0
0
24
0
0
16
16
8
8
0
0
8
8
8
2
1
16
16
8
0
15
8
4
0
0
0
8
0
8
8
0
24
2
1
16
28
20
16
16
2
9
0
0
0
1
0
2
0
0
1
16
16
0
0
56
0
16
0
0
16
0
0
16
0
0
8
8
8
8
0
8
9
9
0
16
16
21
21
1
0
8
0
0
0
0
16
16
8
0
0
0
8
1
1
1
1
0
24
4
11
11
11
0
0
8
0
0
16
24
8
8
8
0
8
8
16
16
16
16
8
8
0
8
8
8
0
0
0
10
0
16
0
2
2
16
0
0
8
8
32
0
0
0
2
0
0
0
2
16
8
24
0
0
1
1
1
8
32
32
32
32
32
2
1
1
8
0
0
16
0
0
0
0
0
0
1
1
0
0
0
36
0
32
0
0
0
0
0
16
0
8
0
1
1
1
0
0
0
0
0
8
0
0
1
8
8
0
1
0
0
36
0
0
16
16
8
8
8
8
24
0
0
44
44
8
2
0
8
0
0
0
0
0
24
24
8
0
0
16
24
0
0
0
0
0
8
2
16
8
16
0
0
1
0
0
0
0
0
8
16
16
16
16
0
16
16
16
16
16
16
4
0
1
1
1
0
0
16
0
0
1
16
16
1
1
0
0
0
0
4
4
16
0
16
16
16
16
0
0
8
8
8
0
0
4
4
8
0
0
16
0
0
8
8
16
16
0
0
0
0
0
0
8
8
8
12
16
0
0
0
2
2
0
0
8
43
4
8
2
0
0
2
8
0
0
8
2
0
0
0
4
4
0
0
0
8
4
0
20
0
0
0
8
8
0
0
8
0
0
0
16
16
8
0
0
1
0
1
8
0
0
16
0
8
8
8
24
24
8
8
8
0
0
6
8
13
0
13
13
16
0
0
0
0
0
0
0
0
0
0
24
16
0
0
16
16
3
8
16
16
4
8
16
16
16
16
0
0
0
0
0
4
8
8
1
16
4
16
0
4
0
0
0
0
1
24
24
24
1
0
0
0
16
8
0
0
4
8
8
8
0
48
48
0
0
0
8
8
0
0
0
8
16
16
16
48
0
2
0
17
4
4
4
4
8
8
0
0
0
0
0
0
0
17
17
0
8
8
1
2
0
8
0
8
32
2
2
2
0
0
16
0
16
1
1
0
0
0
0
0
8
4
0
0
0
16
0
0
4
24
24
24
0
4
8
0
0
1
8
8
16
16
8
8
0
0
0
0
0
0
16
16
0
18
0
8
8
4
4
0
0
8
8
0
0
0
0
0
0
0
0
0
16
0
0
0
0
8
38
0
0
29
0
0
0
0
0
0
1
0
0
4
0
0
0
8
0
0
8
8
8
24
8
8
2
1
8
0
0
0
0
0
8
0
8
1
26
0
0
1
0
8
8
0
0
8
0
4
16
16
16
16
16
16
0
4
1
1
3
8
0
0
8
16
1
1
1
8
0
0
8
16
8
8
0
0
0
0
0
0
0
0
8
8
0
16
8
5
5
5
5
5
5
0
16
1
1
0
1
1
0
41
2
0
16
24
8
8
1
8
16
8
8
11
0
0
0
0
1
1
4
0
20
0
0
0
8
3
0
0
0
0
8
0
0
0
20
28
0
4
4
16
2
5
16
8
16
0
0
0
0
0
0
8
16
20
2
2
4
4
0
0
16
0
0
0
1
16
8
8
24
24
0
8
3
1
0
0
0
0
28
0
0
0
16
0
7
0
32
32
0
0
0
0
0
0
16
3
0
0
8
8
0
16
0
0
0
8
8
0
0
16
8
1
12
8
2
16
16
16
4
8
8
24
0
0
24
24
9
0
2
2
8
8
0
16
0
24
0
2
16
4
4
0
0
0
0
1
4
4
0
0
0
8
8
8
8
0
8
16
16
0
0
16
16
16
0
0
0
16
4
16
16
0
0
2
2
16
4
8
8
0
0
2
1
0
0
1
0
4
0
0
10
2
2
0
1
0
4
4
4
4
4
0
0
0
0
8
16
0
0
0
36
36
36
8
8
8
0
0
8
6
8
8
8
18
18
8
2
8
16
16
0
0
0
0
0
0
0
8
0
2
2
2
0
8
0
0
0
4
8
8
52
24
0
0
0
4
0
8
8
8
4
0
8
8
8
8
12
0
24
0
8
0
16
16
16
0
0
0
2
2
2
16
8
8
8
8
0
0
16
32
8
0
8
0
8
8
0
8
16
0
0
0
0
58
8
8
4
0
1
16
0
0
0
0
0
0
20
0
0
0
8
0
16
4
4
0
5
16
0
4
0
0
1
0
0
8
8
8
0
0
8
0
0
16
0
8
2
2
0
0
0
0
16
8
8
0
0
0
0
8
8
1
1
0
8
0
0
0
0
0
16
4
0
1
4
4
4
8
0
4
4
8
0
2
2
1
8
16
8
18
1
9
0
0
0
8
0
0
0
0
0
0
0
0
8
0
20
8
0
0
2
2
0
8
2
4
4
0
1
1
0
8
8
8
8
0
0
16
16
0
16
18
18
0
18
0
0
8
0
16
8
0
8
0
0
0
8
0
0
8
8
8
0
8
0
8
16
8
0
0
8
0
16
16
0
0
0
0
0
1
3
3
16
8
16
0
2
16
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
8
0
16
0
0
0
16
0
0
8
8
32
0
0
0
11
0
0
0
0
0
0
0
24
24
24
24
24
24
8
8
8
28
28
25
60
0
3
16
16
0
26
0
0
0
9
1
26
26
8
16
8
8
12
0
0
0
16
16
16
0
0
8
8
40
26
26
2
2
2
8
8
0
1
1
0
0
0
0
0
6
0
0
2
0
0
0
25
48
4
8
0
0
0
8
0
0
0
0
18
0
8
8
8
0
8
8
8
0
0
1
1
0
24
0
0
8
8
36
36
0
0
0
1
16
16
16
16
2
1
4
8
8
8
8
0
3
3
3
8
8
8
0
24
24
12
10
0
6
8
0
8
8
16
0
0
0
0
0
0
3
3
3
0
1
1
1
0
0
16
0
8
20
0
0
0
27
0
0
0
0
8
0
0
0
1
0
0
0
32
4
4
1
1
1
0
0
4
4
4
16
16
0
0
8
0
8
1
4
4
16
8
32
0
16
8
0
3
1
0
0
0
24
24
8
2
2
0
0
0
1
0
16
16
1
30
30
8
8
0
32
32
24
8
0
0
0
4
16
4
8
0
32
8
8
2
2
0
0
1
16
16
16
0
0
0
16
16
16
16
0
0
0
16
16
16
0
0
0
1
1
1
1
1
24
24
8
8
8
8
8
8
0
0
0
0
0
0
0
4
8
16
16
17
0
8
10
24
8
0
0
0
0
8
0
0
0
16
0
8
8
8
8
24
5
32
32
16
16
0
0
0
24
24
0
0
8
8
8
8
8
8
21
1
0
4
16
0
8
8
0
16
16
16
4
0
0
1
1
0
16
16
16
0
8
0
2
22
16
6
8
8
8
1
0
8
0
0
0
8
8
24
8
0
0
16
0
4
0
0
24
1
16
16
16
16
16
16
16
8
8
0
8
8
8
2
2
58
0
0
16
8
0
24
2
8
1
1
4
0
0
0
16
16
16
8
8
0
12
12
12
12
12
16
16
0
0
4
0
0
0
0
16
8
0
0
0
0
8
0
32
0
12
8
16
16
0
34
0
8
16
24
0
0
0
0
8
8
0
18
8
8
16
0
18
18
17
0
0
0
0
4
0
0
0
8
8
0
8
0
0
2
0
0
0
0
0
0
0
0
24
4
4
1
49
49
16
8
0
8
2
2
16
16
16
8
0
9
2
2
2
0
8
24
16
0
0
8
0
0
0
2
0
0
8
1
1
1
1
8
8
16
48
8
8
0
8
8
8
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
0
0
0
0
16
1
1
1
1
1
1
1
1
16
0
0
2
8
8
17
17
0
0
0
0
8
25
0
0
8
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
28
28
8
8
16
0
0
0
0
0
0
16
16
0
2
0
0
0
8
8
0
0
2
2
0
0
0
0
0
0
0
4
0
16
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
8
16
0
18
2
2
2
2
2
0
0
0
0
0
0
0
0
0
7
8
0
8
0
0
0
0
0
0
0
57
0
0
0
0
0
0
0
2
8
8
8
0
4
32
0
16
0
0
0
24
0
0
8
8
8
8
8
8
8
12
24
24
16
8
8
8
0
0
1
0
0
0
0
1
0
4
0
17
17
2
0
6
6
0
0
24
24
2
4
0
8
8
16
8
0
8
8
0
8
8
0
0
2
2
0
0
0
0
32
4
24
16
0
0
0
8
0
8
0
0
0
8
0
0
0
0
8
8
16
16
16
16
16
6
23
1
0
0
16
4
0
0
0
0
0
0
8
1
0
0
0
1
0
0
8
0
33
0
0
0
2
2
0
8
32
0
0
0
0
0
1
1
8
8
0
0
0
0
4
0
0
0
0
0
0
0
0
1
0
0
0
0
0
4
1
1
8
8
12
12
0
0
0
0
8
0
16
8
8
0
8
8
40
32
32
32
18
18
0
0
0
0
8
0
8
24
8
4
24
19
1
0
0
0
0
16
16
8
8
8
0
0
16
16
0
0
0
0
0
0
0
0
0
4
0
0
8
8
0
0
0
0
0
0
0
0
2
8
2
24
8
16
16
8
8
0
0
0
4
9
0
0
0
16
4
0
8
3
0
0
0
0
0
8
0
0
0
8
8
0
8
8
13
13
13
0
0
0
8
1
4
24
16
16
0
32
0
0
1
8
8
8
8
8
8
16
16
16
16
1
0
8
8
8
4
1
1
0
8
8
8
8
8
0
0
0
0
0
4
4
0
0
0
0
0
0
0
0
0
0
0
0
10
8
4
0
0
16
8
0
0
0
0
1
0
0
0
8
12
40
0
8
0
0
8
0
0
0
0
0
0
0
0
0
16
6
6
0
8
0
1
0
0
0
4
16
0
0
0
8
0
8
0
0
0
0
4
24
24
32
57
8
8
8
8
8
0
8
8
1
2
0
0
16
8
0
9
9
9
0
1
8
0
0
0
2
16
1
5
0
0
0
8
0
16
16
16
0
6
20
16
8
0
0
0
0
32
32
8
8
0
8
0
24
24
0
0
0
0
4
0
8
8
16
12
16
16
4
0
0
0
0
8
4
16
16
0
25
0
0
0
8
8
16
16
16
0
0
0
0
0
0
8
16
20
18
16
16
2
2
8
0
0
0
1
1
1
2
0
0
0
0
8
8
4
4
0
0
0
8
8
0
0
20
0
24
24
0
16
17
8
8
16
16
2
2
2
1
0
0
0
0
0
8
0
2
8
8
8
8
0
1
1
8
4
0
0
8
0
1
1
16
0
0
0
0
0
0
0
0
16
2
0
0
0
0
1
24
0
0
0
8
8
0
0
0
0
0
4
18
4
4
0
0
0
16
16
0
0
4
24
4
1
1
0
0
0
16
0
12
12
12
0
0
16
16
16
16
16
0
0
0
0
8
16
0
4
0
0
0
16
0
0
2
8
16
0
24
8
8
8
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
2
2
2
0
0
4
16
8
8
0
0
8
8
8
0
0
16
8
0
0
0
4
0
24
24
2
16
16
1
0
0
0
0
0
1
0
24
24
8
8
8
8
8
24
0
0
0
0
8
8
8
0
1
16
16
16
0
8
8
0
16
1
9
9
8
0
0
18
16
18
0
4
4
4
4
4
0
0
0
0
16
16
0
0
0
0
0
0
44
0
8
8
0
8
8
2
0
16
16
0
16
8
0
0
0
8
8
8
8
8
8
8
8
20
0
8
0
16
16
16
16
0
0
4
8
0
0
0
0
0
0
0
0
0
0
0
16
0
8
0
1
0
0
8
8
0
4
16
0
0
0
0
0
0
8
8
0
2
8
32
0
0
0
0
0
4
0
0
0
0
4
9
16
4
8
8
16
16
16
53
0
0
0
0
0
0
8
8
0
8
8
8
8
0
0
1
8
0
1
0
0
4
4
0
16
17
16
16
16
0
0
0
0
0
0
0
0
16
4
4
0
0
0
0
0
0
0
4
4
0
0
0
0
0
0
8
8
8
0
1
0
32
32
0
8
0
0
0
16
8
1
0
24
16
0
0
0
0
0
0
4
4
1
1
8
0
0
0
0
0
0
0
0
0
2
1
8
4
10
0
0
8
8
8
8
2
8
0
0
1
8
20
0
12
4
24
24
24
16
52
8
8
0
18
0
16
0
0
0
0
0
8
8
8
4
4
0
8
18
0
0
4
0
2
0
0
8
0
0
0
0
2
0
8
2
2
2
2
2
3
3
0
1
0
0
0
0
0
0
1
8
0
0
0
16
16
12
33
1
0
4
56
4
4
0
8
0
8
1
1
0
4
8
8
2
0
0
8
8
0
8
8
0
0
0
9
0
0
24
8
16
4
16
0
0
8
8
4
0
27
2
2
0
0
0
16
0
8
8
4
8
4
0
16
16
16
16
0
4
0
0
0
2
2
0
0
24
8
8
0
2
8
4
4
16
16
0
0
4
32
0
0
0
0
0
0
0
0
16
0
1
0
16
0
0
0
0
0
16
8
0
0
1
8
8
8
33
33
33
33
0
0
2
0
8
8
16
0
8
1
0
0
0
0
0
0
0
0
2
12
1
0
0
4
4
0
0
0
2
0
0
0
0
0
0
0
0
0
16
0
8
0
8
8
8
0
8
8
8
8
8
8
8
8
0
0
0
0
0
16
0
0
0
0
2
2
2
52
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
8
8
1
16
16
16
16
0
0
6
6
6
8
8
24
0
16
2
2
8
0
0
0
0
8
0
6
0
8
8
8
16
0
0
0
0
0
0
0
0
0
16
0
0
0
8
8
8
16
16
16
0
8
0
8
16
16
1
8
0
0
16
1
1
0
0
0
0
0
0
0
16
0
16
0
8
0
3
0
0
16
16
4
4
16
16
16
16
16
16
16
4
4
8
0
0
8
8
8
0
0
16
0
0
0
0
16
0
1
8
8
4
0
0
0
0
19
8
8
0
0
16
0
0
4
0
0
8
16
16
0
8
0
0
0
0
33
33
24
0
0
0
16
16
8
8
0
40
2
2
0
0
0
8
8
0
0
0
8
8
0
0
4
0
0
0
8
8
0
0
8
0
0
0
24
0
0
4
16
0
4
0
4
2
0
0
4
4
2
20
20
4
4
0
0
1
2
8
8
16
0
0
8
0
0
6
0
0
0
2
16
0
8
0
8
0
8
16
0
17
32
0
0
13
16
8
8
20
49
49
49
0
8
8
1
1
24
8
8
0
0
16
0
0
16
8
0
20
8
0
0
24
24
24
0
8
8
8
0
0
0
1
16
8
0
0
0
0
0
0
0
0
8
4
32
0
0
20
0
8
0
0
0
0
16
0
8
21
0
0
4
16
8
25
25
25
0
8
16
16
12
0
0
8
1
8
0
22
0
0
8
0
16
0
0
32
0
0
0
0
16
0
8
16
16
0
0
0
0
24
24
0
0
0
2
2
16
0
32
0
0
8
32
32
32
0
16
16
0
8
8
8
8
16
8
0
0
8
0
2
0
24
0
1
1
0
48
0
0
0
0
0
0
0
8
0
0
0
0
8
8
8
8
0
0
8
0
16
0
0
0
0
0
0
8
0
16
0
16
0
8
4
0
0
0
8
0
0
16
0
0
32
16
16
0
4
0
24
24
24
0
0
0
2
4
4
8
8
8
8
32
32
8
8
0
16
16
0
0
0
0
0
0
8
8
2
4
0
0
0
2
2
0
8
8
8
8
8
0
0
32
0
0
8
8
8
4
0
0
8
8
8
16
0
16
0
0
1
0
16
16
0
2
2
8
8
16
0
32
32
8
0
0
0
0
0
0
18
16
0
8
8
16
16
16
0
0
0
0
0
24
0
0
0
0
2
0
8
0
0
0
0
0
0
0
0
0
0
0
0
8
8
24
8
16
0
8
0
8
8
8
1
1
8
0
16
0
0
0
8
8
0
0
0
16
0
4
0
0
8
8
8
20
1
8
8
0
0
0
16
16
16
16
16
16
0
0
1
0
0
0
0
8
1
16
4
4
4
4
0
16
8
8
0
0
0
0
0
0
0
0
4
0
0
0
1
1
16
16
8
8
0
8
8
0
0
16
0
0
16
16
12
0
24
8
8
8
0
16
0
16
16
16
8
8
0
0
0
0
0
16
16
18
0
0
0
0
16
16
0
2
4
0
0
0
16
0
0
16
0
8
8
16
16
0
8
0
0
2
0
0
0
4
4
8
0
0
16
0
0
8
8
32
0
16
0
0
8
8
0
0
0
0
0
0
0
4
8
16
16
8
0
0
2
2
0
0
4
44
8
8
0
8
0
16
16
16
0
0
0
8
0
0
0
0
0
8
0
0
0
0
0
0
0
0
8
0
0
4
0
1
32
6
0
8
8
8
8
8
0
0
21
0
8
0
0
2
2
0
1
1
8
8
0
9
32
0
0
16
16
16
4
36
36
0
59
32
1
0
0
0
0
20
20
0
0
0
0
8
4
1
0
16
4
0
0
8
4
0
4
16
0
8
4
0
2
20
16
8
0
8
0
0
0
8
0
0
16
0
0
0
0
8
8
0
0
0
0
0
1
20
8
8
16
2
0
0
4
16
4
4
9
12
0
0
32
0
0
0
0
8
0
16
16
16
0
0
0
0
0
0
0
0
8
0
16
0
0
0
8
8
0
1
1
1
1
16
0
0
0
8
0
0
8
8
0
0
0
0
2
1
16
0
8
8
0
0
0
16
0
48
48
8
4
4
4
24
0
0
0
1
1
8
0
8
8
16
0
16
16
8
0
0
0
0
0
0
16
24
24
8
0
0
0
0
10
0
8
0
0
0
0
0
8
8
0
0
8
12
12
12
0
8
8
0
16
16
0
0
28
0
0
0
0
8
8
8
0
0
0
8
0
0
16
16
0
0
8
16
2
3
32
0
16
16
32
32
0
2
8
0
1
0
4
0
8
8
0
0
0
0
0
8
0
0
8
5
8
0
0
4
0
0
0
0
0
0
8
32
0
8
1
1
1
1
9
9
9
0
0
0
1
1
0
0
0
0
8
0
0
0
0
8
0
33
16
16
0
0
0
0
0
0
0
20
0
0
0
0
0
0
8
8
8
16
0
16
8
8
0
8
0
16
0
0
0
0
0
8
0
0
0
0
8
8
0
1
1
8
0
0
0
0
0
0
0
16
9
9
16
0
8
8
16
16
0
0
4
8
2
2
8
0
0
8
8
8
0
3
0
0
0
0
0
8
33
33
33
0
16
0
0
0
0
32
0
0
0
0
0
4
0
0
8
16
0
0
0
0
16
0
28
28
8
24
24
0
0
0
1
16
4
0
4
0
1
8
2
2
18
18
0
16
8
0
8
0
0
0
24
8
0
21
0
0
8
16
1
1
8
0
0
16
0
0
0
8
8
4
4
4
24
0
0
20
0
0
16
0
0
0
0
0
0
0
0
0
4
4
0
16
16
0
8
0
0
0
8
0
4
8
8
24
0
0
0
0
0
8
0
8
8
16
0
2
0
0
0
2
0
0
0
0
0
0
8
19
26
16
9
0
0
16
0
0
8
4
0
0
0
8
8
8
8
8
8
8
8
2
0
16
8
0
0
2
0
1
0
1
1
0
1
0
0
0
0
0
0
8
8
8
8
8
1
0
0
0
0
16
0
0
8
0
0
0
16
0
32
0
4
4
4
16
0
1
32
32
8
0
16
16
16
16
0
0
20
20
0
8
8
8
0
0
0
4
0
1
16
0
0
4
1
0
0
0
0
0
16
16
16
8
8
0
0
0
9
0
2
2
2
0
0
0
0
4
4
8
4
4
4
4
8
0
0
4
0
0
0
16
8
0
0
0
8
0
0
0
0
0
8
8
8
0
0
0
0
0
9
9
0
0
0
0
0
16
4
0
0
17
0
0
16
0
0
8
8
1
0
1
0
0
0
0
0
2
8
2
2
0
0
0
0
8
26
0
0
0
0
0
0
0
8
4
4
4
4
0
16
32
32
1
1
3
3
0
0
0
0
0
16
20
8
8
8
0
0
0
0
50
0
27
0
16
21
0
0
0
0
0
0
16
8
8
16
0
8
0
0
0
0
0
0
8
8
0
0
0
0
0
16
0
0
5
0
0
8
0
0
24
20
2
8
8
0
0
4
16
0
8
8
8
8
8
0
16
16
4
4
0
2
0
0
8
24
24
16
16
0
8
0
0
0
0
0
0
0
2
2
4
4
4
0
0
16
0
16
8
32
0
0
0
0
1
24
24
24
8
4
24
0
8
0
1
0
0
0
17
16
0
4
17
4
16
24
0
0
0
0
8
8
4
4
4
0
8
0
0
2
0
0
0
0
0
16
8
0
0
8
8
0
4
0
0
0
0
16
24
0
16
16
8
0
8
0
16
1
1
0
24
8
4
4
0
24
0
0
8
16
16
16
8
8
0
0
8
8
8
0
2
0
8
16
8
0
0
32
0
0
0
0
1
16
0
8
0
0
0
0
0
32
8
8
8
0
0
4
16
0
16
0
0
4
4
0
0
0
0
0
0
28
8
16
8
0
8
0
8
0
32
0
0
24
10
0
1
1
18
18
8
36
36
36
0
0
0
0
16
32
32
12
0
0
16
16
8
8
8
25
0
0
0
0
8
0
2
0
0
0
0
0
0
4
4
0
0
8
12
12
0
0
0
0
0
0
0
0
0
16
1
1
0
0
0
0
0
16
16
28
0
1
1
1
0
0
0
0
0
0
8
0
4
0
0
16
16
24
8
1
0
0
0
16
16
0
8
8
32
8
0
0
8
0
16
8
1
0
0
0
0
1
0
0
0
8
8
0
0
0
1
1
0
8
2
2
8
1
0
0
0
0
0
0
0
0
0
0
8
20
8
0
0
0
0
0
0
0
8
0
0
0
20
4
16
16
0
43
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
8
0
26
16
0
0
8
0
0
0
0
8
16
0
0
0
8
0
0
16
8
0
0
0
0
0
8
3
2
0
8
0
8
32
0
0
8
8
40
0
0
0
0
0
0
1
0
0
2
2
2
0
8
8
8
0
8
8
8
8
0
0
0
0
3
0
0
0
8
0
8
0
8
0
8
0
8
0
8
8
2
0
0
0
16
16
16
0
16
0
0
0
19
0
0
0
2
1
0
8
0
8
16
8
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
4
4
0
0
0
0
0
1
16
16
16
2
16
0
8
4
16
2
16
16
16
16
0
8
8
8
16
0
0
0
0
0
0
0
16
0
0
0
0
8
16
8
8
8
8
2
2
4
0
16
0
0
0
4
4
0
4
4
0
0
0
45
0
4
0
4
0
0
0
0
8
16
16
16
16
16
16
16
4
0
20
24
24
8
0
8
16
16
8
8
4
41
40
40
17
0
8
0
0
16
17
0
10
0
16
16
0
8
0
0
0
10
0
0
24
8
1
0
0
0
16
0
0
0
8
8
8
8
8
8
4
4
0
8
1
8
0
8
8
16
8
8
0
0
0
0
2
0
8
8
0
16
0
0
0
0
8
8
1
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
1
12
12
12
0
16
2
0
0
2
0
0
16
16
16
16
32
1
1
0
0
1
0
4
0
0
8
8
8
0
0
4
0
0
1
1
1
0
22
32
0
0
0
0
0
0
16
16
0
0
8
0
16
0
1
8
8
0
0
0
8
16
0
8
2
2
8
16
16
0
0
2
2
0
0
8
8
0
0
0
0
0
0
0
8
0
0
8
10
16
2
2
0
0
0
0
0
0
1
0
4
16
0
0
0
0
0
16
1
0
0
1
4
4
1
1
1
0
0
0
0
0
0
0
0
12
16
0
0
0
16
8
8
8
8
0
0
0
0
16
8
8
8
0
0
16
0
0
0
12
8
0
0
0
0
4
8
8
8
8
0
0
1
1
8
0
0
0
8
8
8
8
8
8
0
8
4
4
0
8
16
0
16
16
16
0
0
0
0
8
0
0
0
6
6
6
8
0
0
8
18
0
24
0
0
0
1
1
1
1
0
0
0
40
0
4
4
8
2
4
4
16
0
0
0
8
0
0
1
1
0
0
0
16
8
0
0
0
0
25
8
8
0
0
8
8
1
1
0
24
2
8
0
16
0
0
0
0
0
0
16
16
8
16
16
8
16
0
40
40
0
4
0
0
0
0
0
1
0
8
16
0
8
8
0
8
8
0
8
8
0
1
1
8
16
16
0
0
0
0
8
0
0
8
0
8
8
0
8
0
8
0
40
40
9
16
16
16
9
4
24
0
8
0
0
16
16
16
0
0
16
16
16
0
16
10
10
17
16
8
8
8
8
0
0
0
0
0
8
0
16
4
4
0
0
16
16
0
0
0
0
0
8
8
57
57
0
24
0
0
0
0
16
29
29
2
8
2
2
0
0
0
0
2
0
8
0
0
8
0
8
8
0
1
20
3
8
0
0
0
0
0
10
17
17
4
8
8
8
8
0
1
0
0
0
10
0
8
1
8
8
0
25
25
25
0
2
12
8
0
0
0
1
0
0
8
8
8
8
24
8
0
0
0
8
2
0
0
0
8
8
8
0
8
0
0
1
0
0
8
8
0
0
0
0
0
0
0
0
1
2
2
8
0
0
0
16
0
0
0
8
8
8
8
0
0
0
0
0
0
8
2
0
0
1
4
0
0
16
16
0
0
0
0
8
0
16
8
0
0
0
0
8
0
17
17
0
0
16
0
0
0
0
4
4
0
24
8
8
0
0
16
0
0
0
0
16
12
8
8
0
0
0
2
0
0
0
8
16
0
8
17
0
0
4
0
0
16
8
32
8
16
0
0
0
0
0
0
1
8
16
0
4
4
4
4
0
0
0
0
4
0
17
0
16
4
0
0
0
0
0
0
8
16
0
0
0
2
12
16
0
0
4
4
0
8
8
4
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
8
17
16
0
16
16
0
0
16
16
16
0
0
0
0
16
0
0
1
1
1
8
1
24
24
24
24
24
0
8
8
8
0
0
16
16
0
0
8
16
16
8
8
16
0
0
4
0
0
0
24
0
0
16
0
8
8
0
4
0
0
0
8
8
0
0
0
42
16
31
0
16
16
16
16
16
8
4
4
16
0
8
8
8
1
1
8
0
0
1
1
8
0
0
0
0
0
0
0
8
0
0
16
0
0
0
0
0
0
0
0
32
0
0
12
0
4
16
16
0
32
0
0
12
24
0
0
0
0
0
0
0
0
0
0
0
0
8
16
16
0
32
8
4
0
0
0
1
1
16
0
8
8
8
32
1
0
0
8
0
0
0
24
0
0
0
0
0
8
16
0
0
0
0
0
0
0
0
0
8
16
0
6
0
0
0
0
0
0
0
0
0
17
0
0
0
0
0
8
16
8
8
0
0
0
0
16
16
8
8
8
8
8
16
24
0
16
0
0
0
0
1
0
0
0
0
8
16
8
16
16
16
16
2
16
0
0
2
2
0
0
2
8
8
4
16
16
0
0
4
0
0
2
2
7
0
16
16
0
0
0
9
0
0
12
8
8
4
0
16
0
0
0
42
4
0
28
0
8
16
8
8
8
16
0
8
0
4
0
0
0
2
0
0
8
0
0
16
0
0
0
0
16
4
2
2
2
0
0
0
2
6
0
0
0
0
0
0
0
0
2
2
24
8
8
8
0
0
0
0
0
28
28
28
0
0
0
20
0
8
8
8
16
4
4
0
0
0
0
0
0
1
61
32
0
0
4
4
0
8
0
0
0
0
32
32
32
32
0
16
16
8
0
0
2
2
2
0
0
0
0
4
0
0
8
2
0
0
0
32
8
2
2
2
0
0
0
0
0
0
0
0
0
0
8
0
0
2
16
16
16
8
0
0
0
2
2
16
16
0
16
4
0
8
8
0
4
0
8
8
8
0
4
24
24
8
0
20
0
0
8
0
0
16
1
0
8
2
16
16
16
16
0
33
2
0
51
0
0
8
16
8
8
8
0
2
0
0
8
8
8
8
0
0
0
4
8
8
0
4
16
16
2
0
0
8
3
2
0
0
0
0
18
18
18
48
8
8
16
16
16
16
0
8
8
0
0
1
4
16
1
0
0
0
0
0
8
0
0
0
0
4
4
16
0
16
8
5
1
1
4
1
8
8
0
0
8
8
8
8
0
0
4
4
4
4
0
0
0
0
0
4
8
0
0
1
0
0
0
0
0
0
8
8
0
16
0
12
12
52
52
24
24
0
8
4
4
8
8
0
0
0
0
0
16
0
0
0
0
16
16
24
0
0
0
0
8
8
0
1
1
0
8
0
8
8
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
8
44
44
44
8
16
16
0
0
0
8
4
4
4
24
8
8
8
8
8
0
16
8
8
8
28
28
0
0
0
0
1
0
0
8
20
20
0
8
1
1
0
4
2
0
0
0
8
0
0
32
8
8
8
8
8
0
0
0
0
40
0
0
0
16
16
4
4
8
26
8
0
0
0
16
0
25
5
5
0
0
0
0
2
0
2
0
0
0
16
0
0
4
0
0
4
4
0
32
16
16
0
8
4
8
1
1
8
8
0
0
0
0
0
0
0
0
8
0
4
4
2
0
8
16
0
4
0
0
8
0
0
8
2
8
8
0
0
0
0
0
0
2
2
2
0
4
8
0
0
0
0
2
2
4
4
0
0
16
8
0
0
0
0
0
0
16
0
8
0
44
0
2
0
0
0
0
24
24
0
16
8
4
0
0
0
8
2
0
0
0
0
1
1
0
8
8
0
16
8
0
0
0
17
4
4
4
8
0
0
8
0
0
8
8
1
2
0
16
0
0
8
8
8
0
8
8
8
0
8
0
16
4
40
0
24
0
0
0
0
0
5
0
0
0
0
0
0
0
8
8
0
0
8
0
0
0
0
0
0
0
8
16
16
0
0
2
8
0
8
8
1
32
0
0
0
0
24
24
0
16
16
0
0
1
0
24
4
16
0
0
0
8
8
2
0
0
0
0
8
12
16
16
8
1
0
32
16
16
2
2
2
0
4
8
8
8
16
0
0
8
8
16
0
0
0
8
4
0
1
16
0
0
0
0
8
0
4
0
4
0
0
0
0
0
0
8
24
0
24
0
8
16
0
8
8
0
0
8
0
0
36
36
36
36
0
0
0
4
0
0
48
8
0
0
0
0
0
0
2
8
8
8
8
8
8
8
16
2
16
16
0
0
3
16
1
1
1
8
4
0
2
8
16
1
8
16
16
16
16
16
0
0
8
0
8
0
0
2
2
0
32
8
0
0
0
0
0
0
0
16
0
0
0
1
0
0
0
0
16
16
16
8
18
8
0
0
0
0
8
8
32
32
32
32
32
0
0
8
8
8
16
54
8
16
8
8
0
8
4
0
0
17
24
8
0
0
0
0
2
2
8
0
1
0
8
0
10
8
16
0
0
0
0
0
8
8
16
0
1
1
0
8
0
8
8
0
16
8
8
8
8
8
16
16
16
0
0
0
0
0
0
0
0
8
8
8
8
0
0
0
8
17
0
16
0
24
0
0
8
16
16
16
0
0
16
1
56
56
0
0
0
0
0
0
0
0
8
3
3
8
8
0
0
2
0
0
24
16
0
0
8
8
4
4
0
0
16
16
16
16
16
0
0
4
8
1
5
5
24
8
0
4
4
4
4
4
0
0
8
0
0
2
22
22
8
0
8
8
8
8
8
58
0
0
2
2
2
8
32
0
0
8
16
25
25
0
0
0
0
0
8
4
0
0
8
0
0
16
0
8
8
8
2
0
1
1
0
16
8
0
0
0
0
0
0
0
0
0
0
0
0
16
16
8
8
8
8
0
0
0
0
0
0
1
1
0
0
16
16
0
2
1
12
2
0
0
24
24
8
0
0
0
0
0
16
16
0
0
8
0
16
0
0
16
16
16
0
8
24
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
12
0
0
0
0
0
0
0
0
0
24
0
8
0
0
41
16
16
16
16
16
8
0
8
8
0
2
0
0
2
0
0
0
0
0
16
16
16
16
16
2
2
0
0
0
0
8
8
16
0
0
0
16
16
0
0
0
0
0
0
0
0
8
0
0
16
0
8
0
0
0
0
0
0
0
0
24
24
8
8
16
0
8
8
8
0
1
0
0
0
0
0
0
0
0
0
49
8
8
0
0
8
8
8
17
1
16
0
1
1
1
1
1
8
8
8
8
8
0
0
8
8
24
21
1
4
0
24
24
24
24
0
0
0
16
16
0
0
17
0
0
0
16
0
0
0
0
5
4
16
0
8
16
16
0
16
16
16
16
0
0
16
16
4
0
0
0
16
8
0
0
8
8
16
0
1
0
0
8
0
0
32
32
0
16
8
8
8
8
0
0
0
26
4
4
4
12
12
0
16
16
16
0
0
16
0
0
24
16
16
16
0
0
8
0
0
0
0
0
16
0
0
8
8
16
8
16
0
0
0
0
45
45
8
0
4
2
16
0
0
0
0
0
2
0
0
0
0
0
6
6
2
24
24
1
1
16
16
0
0
0
4
4
41
8
25
25
8
16
16
0
8
0
0
0
0
0
0
8
0
0
0
0
16
0
0
0
8
0
0
1
16
16
0
16
16
24
0
2
0
0
0
0
0
8
16
0
8
0
0
0
16
16
16
16
16
16
0
4
8
8
0
0
8
8
0
24
12
8
8
8
8
8
0
0
1
8
16
0
0
0
8
4
16
16
16
1
8
0
0
0
0
24
24
17
17
1
0
0
0
0
0
16
16
0
4
4
4
4
0
16
0
0
8
0
0
0
8
0
0
0
0
1
1
0
8
40
0
0
0
28
28
16
16
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
8
6
16
16
16
0
8
8
0
0
4
4
0
16
0
0
8
0
0
8
0
0
0
0
0
0
12
29
0
0
8
8
2
8
8
0
0
8
16
0
0
0
0
0
0
0
2
2
4
0
0
0
0
0
16
16
0
0
0
0
0
0
0
2
0
16
0
0
16
8
0
8
0
0
0
32
16
16
16
16
32
8
9
8
8
8
8
0
0
0
6
3
0
0
0
0
0
8
8
8
8
0
12
0
8
8
4
4
4
8
0
16
8
16
8
4
9
0
0
0
0
29
0
4
4
4
4
2
16
16
16
16
16
0
0
40
1
1
32
0
0
0
0
16
0
8
8
0
0
16
16
16
1
8
8
0
4
0
16
16
16
16
16
16
16
0
0
0
0
16
49
0
4
1
16
0
0
0
0
0
0
36
8
0
24
8
8
0
0
0
0
1
1
16
16
0
0
0
8
4
2
16
0
16
16
0
0
16
4
4
4
0
0
0
0
0
0
0
0
0
4
0
8
8
0
0
0
0
8
8
8
8
2
2
0
22
16
2
0
0
51
0
0
0
36
0
0
0
0
0
32
20
0
0
0
1
0
0
16
16
16
8
0
16
16
12
0
40
0
0
4
8
4
4
8
24
24
16
16
17
17
0
0
0
8
0
0
0
0
8
8
8
8
0
0
8
8
0
16
1
0
0
0
0
0
0
30
16
16
0
8
8
8
8
0
1
0
0
0
1
60
60
0
24
8
0
0
0
8
16
3
0
0
0
0
0
1
0
48
0
4
4
16
8
8
8
0
8
0
16
24
24
0
16
16
32
32
0
0
16
16
16
16
16
16
16
8
0
16
0
0
0
0
0
0
0
8
16
0
12
9
0
0
2
0
0
0
8
16
0
0
0
1
0
0
0
8
8
8
0
12
0
0
0
0
8
8
16
16
0
0
18
18
16
16
8
0
0
0
8
0
0
24
24
0
16
2
16
8
27
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
9
1
8
0
16
0
8
8
0
8
0
0
4
4
4
8
0
0
16
0
0
0
4
8
0
0
0
2
8
8
8
0
0
0
0
0
4
8
8
8
16
16
0
0
2
8
8
8
8
0
8
0
8
8
1
1
8
8
8
8
8
16
1
0
2
0
0
8
16
34
34
22
8
8
0
16
0
0
0
8
8
8
0
0
0
0
0
0
0
8
8
1
0
0
16
16
0
2
32
16
24
8
8
8
8
0
0
8
4
4
0
1
1
0
0
0
1
0
8
18
0
4
12
16
0
16
16
8
0
0
16
16
16
0
8
8
0
0
0
50
0
0
5
0
0
0
14
8
8
0
16
16
0
16
0
0
16
0
0
0
0
8
8
4
0
8
8
0
0
16
8
16
0
0
1
1
0
18
0
8
0
0
0
0
4
4
4
0
8
8
0
0
8
16
8
8
0
8
24
8
8
24
16
16
16
8
16
0
0
8
8
8
0
32
0
0
0
0
8
16
12
12
12
12
16
32
32
8
8
0
0
0
0
0
0
0
0
0
0
24
24
24
48
25
25
0
0
0
0
8
0
1
1
8
8
8
0
0
0
0
4
8
8
8
4
0
8
8
8
0
0
0
0
0
0
0
1
1
8
0
0
0
2
4
4
0
0
0
4
10
10
0
0
8
8
8
8
26
0
8
8
8
4
4
0
0
8
0
0
0
0
0
16
16
16
16
0
0
0
0
2
8
0
0
0
0
0
20
0
0
0
0
0
0
1
1
0
0
12
8
2
0
0
1
8
0
0
8
0
0
8
0
0
8
0
16
16
0
0
0
0
2
0
1
8
0
0
0
1
16
16
0
18
32
32
32
16
8
8
8
8
0
8
4
4
24
8
0
16
1
0
0
0
8
0
0
0
0
0
4
0
0
0
0
0
0
16
0
24
0
0
0
0
0
0
1
0
0
0
0
0
0
0
4
0
0
9
0
0
2
0
0
0
0
0
0
2
24
0
0
8
0
0
60
8
8
8
0
4
0
0
0
0
0
16
24
24
0
0
16
0
0
16
16
16
0
0
0
0
0
0
25
4
4
2
0
8
0
0
0
0
16
16
16
8
0
4
4
16
16
0
0
32
0
0
0
20
8
8
8
9
8
8
0
16
16
16
4
5
16
0
0
0
0
0
0
0
0
8
16
0
0
0
0
0
4
0
0
0
0
0
8
0
8
8
0
0
0
0
0
0
8
0
0
0
8
2
0
16
48
48
48
16
0
0
4
4
8
0
34
34
34
34
34
16
16
16
0
0
0
4
16
8
8
0
0
0
0
0
0
32
32
40
0
0
24
0
17
17
8
8
0
0
0
0
0
0
0
0
0
0
0
8
16
0
1
1
1
1
8
8
0
16
8
2
0
0
8
16
0
16
0
0
8
0
9
8
0
0
0
0
8
16
16
0
0
0
4
16
24
0
0
16
2
0
2
2
8
4
16
0
0
16
16
0
0
4
0
0
8
0
0
0
0
0
0
0
0
8
0
0
0
0
4
16
0
0
8
0
16
0
0
0
16
0
8
8
8
0
0
0
16
0
0
0
0
8
1
8
8
2
4
4
6
6
0
36
36
36
0
24
24
40
0
2
0
0
0
2
2
8
8
2
0
0
0
16
0
16
0
0
6
12
0
8
8
0
0
0
0
16
1
1
0
0
0
0
24
0
0
0
8
8
8
8
8
0
16
16
4
0
0
0
16
4
0
0
0
0
0
4
1
1
1
0
8
12
12
12
8
8
8
8
8
16
16
8
8
8
8
8
8
4
4
4
8
1
1
0
0
0
0
15
4
0
0
0
0
0
2
0
0
2
0
16
21
0
8
8
4
4
0
0
16
0
0
4
4
16
0
0
8
0
1
8
0
2
0
0
0
16
18
4
2
8
0
0
0
24
0
0
8
0
0
0
16
0
8
8
0
0
24
24
0
0
0
8
0
0
8
1
18
2
2
3
16
1
0
0
0
0
0
0
0
0
0
0
0
0
1
1
8
8
0
0
0
0
0
0
0
4
16
0
17
17
8
24
8
0
0
0
8
16
16
16
8
8
8
0
0
24
16
16
0
32
8
8
8
8
8
8
8
0
0
0
8
8
0
8
0
0
4
8
0
0
0
17
8
0
4
4
0
0
0
0
16
16
16
0
0
0
0
16
0
16
0
0
24
11
0
0
16
0
4
0
36
0
0
16
8
0
0
8
0
4
4
4
16
16
16
0
0
16
0
0
1
0
60
0
0
0
1
1
0
4
0
0
0
0
32
32
0
0
8
0
0
0
8
8
16
2
0
0
0
0
0
16
0
0
16
2
0
0
0
8
0
0
0
0
2
16
8
0
0
0
0
8
0
0
20
0
32
16
0
0
8
0
8
0
2
2
0
0
0
0
4
0
0
0
24
8
0
0
24
8
8
8
16
16
16
21
0
0
8
8
0
4
16
16
0
16
0
49
0
0
4
8
8
0
0
24
0
0
0
0
0
0
16
0
0
0
0
8
4
0
0
0
8
0
9
2
3
3
0
0
0
0
0
0
8
2
0
0
0
16
16
0
0
0
2
8
4
0
0
0
0
0
0
16
0
0
0
0
0
0
12
0
0
0
0
0
0
0
0
8
8
8
8
16
16
2
4
0
8
0
0
16
16
16
0
0
0
8
0
0
0
0
8
0
24
0
0
20
0
1
6
0
4
4
0
0
0
0
0
16
16
0
4
4
0
0
17
17
8
8
8
8
8
8
8
0
0
8
0
8
8
4
0
0
0
0
24
0
8
16
16
13
0
0
0
0
0
4
4
8
0
0
0
1
1
1
16
0
0
0
16
8
34
0
16
0
8
8
1
16
0
16
0
8
0
8
8
16
16
8
0
0
1
0
0
28
8
0
16
8
16
16
16
0
0
0
16
0
0
0
4
4
0
8
8
16
0
0
0
4
0
8
0
0
16
8
8
0
0
16
8
0
0
0
1
1
8
8
8
0
0
6
48
48
0
0
0
0
0
0
0
8
8
0
8
8
8
8
8
8
0
0
0
8
8
0
0
10
8
8
18
6
2
9
9
0
0
0
0
0
0
0
16
0
8
0
0
0
24
4
0
0
0
0
0
0
0
0
1
0
0
0
0
2
2
1
16
0
0
0
0
0
0
2
2
0
25
25
16
0
0
4
16
16
16
0
0
8
8
8
0
8
8
0
4
16
8
0
0
0
4
16
16
16
2
16
16
16
4
4
4
4
0
0
8
0
0
0
8
0
0
0
8
0
16
16
0
0
16
0
0
0
0
4
0
0
0
16
0
0
2
0
16
0
4
4
4
8
9
21
0
0
0
0
0
0
0
0
0
0
8
0
0
20
16
0
0
8
0
1
1
16
0
0
0
0
0
0
0
0
8
0
0
0
0
16
6
0
41
0
0
0
0
0
4
4
0
0
8
17
8
0
8
8
8
16
8
0
0
0
0
0
0
8
8
8
0
18
0
0
0
8
0
0
0
0
0
0
0
0
0
8
8
8
0
0
16
0
0
0
0
0
0
4
16
0
0
0
0
0
0
0
0
0
57
0
0
0
0
0
0
16
8
8
16
16
33
0
8
8
8
0
0
16
0
0
8
0
16
16
16
16
16
1
0
0
0
0
0
0
4
0
0
0
0
16
0
8
0
0
0
31
0
16
0
16
16
16
0
16
0
0
6
0
0
0
0
8
4
0
0
0
8
16
4
52
0
0
2
0
8
8
0
8
0
0
0
24
24
0
0
2
4
4
4
4
4
8
16
0
8
8
0
8
8
0
0
0
0
0
0
0
4
4
10
0
0
8
8
1
1
0
0
0
0
0
16
16
16
0
0
0
13
0
0
0
0
0
8
8
8
17
17
17
0
0
0
0
0
0
0
0
0
0
4
16
8
8
2
0
8
0
8
0
0
1
1
1
1
0
0
0
0
0
17
0
0
0
0
0
8
0
0
16
0
0
0
8
0
2
8
8
0
2
2
2
2
0
0
0
0
0
0
0
0
1
16
16
0
8
8
4
4
16
8
0
0
0
1
4
0
0
16
16
3
3
32
0
0
4
16
2
16
24
0
0
0
16
18
18
4
4
4
4
16
16
8
0
8
0
16
0
8
0
0
16
20
0
24
0
0
0
24
0
4
0
0
0
0
0
0
0
0
0
8
8
8
8
0
0
0
16
16
0
0
8
8
0
0
0
8
32
32
0
0
0
0
0
8
0
0
0
0
16
0
0
9
24
8
0
32
0
4
0
6
6
6
0
0
0
0
8
8
8
8
8
0
0
0
0
1
24
8
8
0
0
9
24
0
4
0
0
0
0
0
0
0
16
0
16
0
0
0
0
0
0
0
0
0
8
8
0
46
0
8
8
0
8
16
16
0
0
0
0
0
4
16
0
0
0
8
0
0
0
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
16
8
8
8
0
4
4
0
0
0
7
21
5
16
32
0
0
0
8
4
25
1
0
0
0
16
16
16
0
0
0
0
8
8
0
8
8
8
8
56
56
0
0
0
0
0
0
8
0
0
0
0
8
0
0
0
0
0
0
8
8
8
8
0
0
0
0
0
1
14
4
0
0
0
0
24
24
0
12
9
0
8
0
0
0
24
32
32
9
16
0
0
0
1
8
8
0
0
8
0
16
0
0
8
12
0
0
0
8
10
10
0
0
0
0
0
0
0
16
16
26
0
16
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
20
4
0
0
18
0
32
32
2
1
0
0
0
0
0
0
32
16
16
18
0
0
0
0
0
0
0
0
0
0
0
0
11
0
0
8
8
8
8
8
0
0
0
6
0
16
0
0
8
8
8
0
0
0
0
24
0
0
8
0
0
16
0
0
0
32
8
8
8
0
0
0
8
16
16
16
16
8
4
0
4
8
0
2
0
2
0
8
16
16
0
0
0
0
0
2
0
0
0
8
8
0
16
4
1
25
0
8
24
24
0
0
0
0
0
8
4
0
8
8
0
16
16
1
0
16
0
0
8
0
0
24
0
0
0
8
48
0
0
2
8
8
8
8
0
2
2
2
2
16
0
8
8
0
8
0
0
1
1
1
1
0
0
2
0
0
0
0
6
8
0
0
0
0
0
0
0
0
0
0
0
4
8
16
8
0
0
0
0
0
2
0
0
0
0
0
2
1
1
0
0
0
0
4
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
4
4
0
0
0
8
8
2
0
20
20
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
4
4
4
4
0
8
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
8
8
1
3
1
0
0
16
0
0
0
0
1
1
0
0
16
0
0
8
8
17
0
0
0
17
17
0
0
8
0
0
8
8
2
1
0
8
0
4
8
4
4
4
2
2
8
8
8
0
20
20
1
0
1
8
4
8
0
0
0
0
0
2
8
8
24
0
0
8
16
0
16
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
30
8
0
0
8
0
0
0
0
0
8
8
0
0
16
0
0
8
8
0
0
0
0
0
0
0
0
4
4
6
6
0
18
24
0
0
0
16
0
0
24
24
0
0
2
0
2
18
18
18
18
0
0
0
0
0
0
0
8
0
36
36
0
0
0
0
0
0
0
8
8
16
0
0
16
0
0
0
0
1
1
0
0
0
0
0
1
0
0
0
0
4
4
4
0
4
16
0
8
8
8
8
8
0
0
8
0
16
16
0
0
8
8
16
16
0
0
0
0
0
2
0
8
0
0
0
8
0
2
2
2
8
0
0
8
0
0
34
34
34
1
0
0
0
0
0
0
0
0
0
10
10
0
8
8
20
0
24
8
0
0
0
10
0
0
0
0
16
0
0
0
8
0
17
0
33
33
33
0
0
0
0
5
5
0
16
16
0
0
0
0
0
0
0
8
8
0
16
16
4
0
8
8
8
0
16
16
0
0
9
0
0
16
16
16
0
0
0
0
16
8
0
0
18
0
0
0
0
0
2
8
0
8
0
0
0
1
16
16
0
8
0
0
8
8
0
0
0
0
0
8
4
20
0
0
0
0
0
8
0
4
4
4
4
0
0
4
0
8
0
0
4
8
2
8
0
0
1
8
0
0
0
8
0
24
8
0
0
0
0
0
56
0
0
8
0
0
0
0
0
8
16
16
8
0
16
0
8
8
2
0
1
0
0
0
28
8
0
0
4
0
18
18
0
0
25
16
8
1
32
32
24
0
0
0
2
16
16
0
0
0
0
0
0
0
8
8
0
0
8
1
1
0
0
8
8
0
0
0
0
8
16
0
0
16
10
10
10
4
24
8
0
16
0
0
0
5
8
4
0
0
1
0
1
1
1
0
0
0
8
0
0
0
0
0
6
0
8
0
8
0
0
0
0
0
8
10
8
8
0
0
0
0
0
0
0
0
0
16
16
9
8
0
0
0
16
8
25
0
0
8
0
0
0
0
0
0
0
32
16
32
0
8
0
0
0
8
8
0
0
0
8
2
0
0
0
0
8
20
8
8
0
8
8
0
0
0
12
0
4
1
16
16
0
0
0
8
0
8
18
0
0
0
0
2
16
0
8
24
8
0
8
8
8
0
28
0
0
0
8
0
0
16
16
0
8
8
8
8
12
0
0
8
0
0
26
8
0
8
8
0
0
0
8
0
16
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
8
32
4
8
16
24
24
0
8
16
16
16
0
0
0
8
0
0
8
0
2
0
0
0
0
1
1
1
20
20
16
5
4
8
8
8
8
20
8
8
0
0
0
0
0
0
0
4
1
8
0
0
0
0
0
0
0
16
0
16
8
8
0
0
34
0
0
16
2
17
2
0
8
2
8
0
0
0
24
0
0
16
1
0
8
16
0
0
16
8
0
8
1
0
0
8
2
0
0
2
2
2
2
8
0
8
4
0
0
0
0
0
4
0
0
0
16
0
0
0
0
1
1
0
0
0
0
0
0
0
16
0
0
0
0
0
0
48
8
0
0
8
4
8
16
16
0
0
0
8
8
1
4
0
0
16
16
16
2
0
0
0
0
16
8
0
0
0
0
8
8
0
0
0
0
8
8
16
18
18
8
0
16
0
16
16
0
6
0
0
0
9
0
0
0
8
16
16
0
24
24
4
0
4
18
18
0
0
8
8
8
8
20
20
20
0
16
0
0
0
2
8
8
8
0
0
32
0
0
17
17
17
17
8
8
8
0
0
4
32
0
0
28
1
0
0
0
0
8
0
4
4
16
0
0
0
0
0
0
0
16
20
20
0
2
0
0
0
0
8
0
8
0
0
0
8
8
8
8
0
0
8
8
2
2
0
8
0
8
8
8
8
8
8
0
0
8
8
0
0
8
20
20
8
0
4
4
4
0
0
16
0
0
0
1
0
1
1
1
4
24
16
0
32
0
0
0
0
8
8
0
0
8
0
8
8
8
24
8
1
0
0
0
0
8
27
1
0
4
4
4
0
1
1
0
16
2
8
8
16
13
0
0
8
8
8
0
0
24
0
0
0
0
0
0
20
4
0
0
12
4
4
4
4
32
24
16
0
24
16
0
0
0
0
0
23
8
0
0
61
61
0
0
0
0
16
16
24
24
8
8
16
16
17
17
4
4
0
0
0
1
0
8
0
0
0
8
0
16
0
8
8
2
0
20
1
0
2
4
4
0
0
26
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
12
0
0
0
2
2
0
0
0
0
2
0
32
16
1
2
17
0
0
0
0
9
0
0
0
0
0
24
24
0
0
0
0
0
0
16
4
4
0
0
0
0
0
8
8
0
0
8
10
8
0
0
0
4
0
0
0
8
8
8
2
1
0
0
0
9
9
1
22
22
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
32
32
0
0
0
0
8
8
8
8
0
0
0
0
0
0
0
0
9
8
8
0
8
8
10
0
2
1
0
0
0
0
0
0
9
0
0
0
0
0
0
0
0
12
0
8
8
8
0
0
0
0
0
0
1
16
2
8
8
8
0
0
8
8
0
0
0
0
0
8
2
2
16
0
4
4
4
0
0
0
4
4
0
0
0
0
0
0
4
0
8
8
0
0
0
4
17
0
0
0
16
6
0
0
0
0
2
8
0
32
16
0
0
0
0
4
0
0
0
4
4
4
0
0
16
8
8
8
17
0
0
0
16
16
16
0
8
0
0
0
16
16
0
0
0
24
8
9
16
4
4
4
0
0
8
2
2
0
0
2
2
2
2
0
0
0
0
9
0
0
49
8
0
0
1
1
1
2
0
0
1
0
8
8
8
0
0
0
8
8
8
0
0
0
8
0
0
0
0
8
8
16
1
0
8
8
8
16
1
4
4
4
24
0
0
16
0
0
24
8
8
0
0
0
0
16
0
4
16
8
0
1
0
0
0
0
0
16
16
16
16
8
8
0
16
0
16
16
8
0
0
0
8
16
0
0
0
0
4
0
0
16
8
0
0
0
0
42
0
0
0
0
8
0
0
0
0
12
0
2
8
1
1
4
4
0
0
4
0
8
8
0
0
0
4
8
0
0
12
0
0
0
0
0
0
4
16
0
0
8
8
8
1
0
0
0
0
0
0
27
0
8
8
8
0
0
8
0
16
16
0
0
0
4
16
8
0
16
8
2
2
2
0
18
18
16
1
1
0
0
0
8
16
16
8
8
8
4
0
0
1
8
0
2
2
2
4
4
4
8
0
8
4
16
16
16
4
0
8
0
0
0
0
0
1
0
8
0
0
0
8
8
8
0
44
44
4
8
16
8
1
1
0
0
32
32
32
4
0
0
4
0
0
0
0
0
8
8
16
0
0
16
0
2
8
4
0
2
0
8
0
8
17
8
8
0
0
0
0
16
16
8
16
0
0
0
22
0
0
16
16
4
4
0
16
16
4
16
8
1
0
8
0
0
0
0
0
8
0
0
8
1
8
25
25
0
0
2
2
0
0
0
0
16
0
0
0
0
0
0
0
6
6
6
0
8
8
0
4
4
0
8
0
16
19
19
16
0
0
16
0
8
0
0
0
20
4
0
4
4
8
18
18
18
18
18
18
16
4
4
16
0
0
0
0
1
0
0
16
16
32
32
0
0
0
16
16
8
0
0
8
0
0
0
24
0
0
0
0
0
0
0
1
1
1
25
4
33
0
0
0
0
1
2
0
0
8
8
8
9
8
0
8
0
0
0
0
0
0
0
16
16
0
0
8
8
8
0
8
33
0
0
0
0
0
0
2
0
0
27
0
16
0
8
0
0
0
8
4
4
0
0
0
0
8
0
0
0
16
8
0
0
2
8
8
0
8
0
1
16
60
8
8
8
0
0
18
0
16
16
9
8
8
0
16
16
16
8
8
8
8
8
0
0
0
2
0
24
0
0
0
0
0
4
4
4
0
0
18
1
2
0
0
8
2
2
16
8
0
0
0
0
0
0
0
0
0
0
4
0
4
8
8
0
0
0
0
0
4
0
4
4
4
16
16
16
8
8
8
0
2
2
0
0
0
8
8
0
0
0
16
16
16
8
0
0
0
0
0
0
0
1
8
8
0
0
4
0
0
19
19
0
0
1
1
0
0
4
4
0
49
8
8
8
0
24
24
24
0
0
0
12
24
0
0
0
18
8
0
0
0
0
0
0
0
0
0
0
10
10
16
16
0
0
4
4
16
0
8
8
0
8
0
0
8
8
0
8
8
0
0
0
8
0
8
8
8
8
0
16
0
0
8
8
8
8
0
0
0
0
0
16
16
0
0
1
1
1
4
4
8
16
16
16
0
0
0
0
0
0
8
8
0
4
0
2
0
0
8
0
0
8
0
0
0
0
16
16
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
2
16
16
8
8
8
8
16
0
56
56
56
28
0
8
8
8
0
0
0
0
0
0
21
21
21
21
0
16
0
0
1
0
0
0
8
8
8
2
8
8
8
0
16
16
16
16
16
16
16
16
0
0
0
8
16
16
0
8
8
8
8
0
0
12
8
8
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
24
8
8
8
8
8
8
6
0
0
8
0
2
2
16
4
0
0
0
2
0
0
8
8
6
1
0
0
0
0
18
0
20
0
0
1
2
0
0
0
16
16
16
0
0
1
1
0
8
0
0
0
0
16
32
32
0
0
0
33
25
0
18
18
8
8
8
8
17
0
0
8
8
8
8
0
16
16
16
16
16
16
16
16
16
16
0
8
8
0
16
0
0
0
0
0
0
0
0
0
8
8
4
4
4
1
1
24
24
24
0
0
16
0
4
0
0
0
8
8
8
8
24
17
16
57
57
8
16
0
0
8
4
4
4
4
0
0
0
0
0
0
0
50
8
16
0
16
0
1
8
0
8
8
8
32
0
0
0
0
16
4
8
8
8
0
16
16
0
16
19
19
0
2
20
20
8
0
0
8
16
8
0
8
0
1
0
32
32
0
8
4
4
16
16
0
0
8
0
0
0
4
4
0
8
8
8
0
0
4
3
1
1
8
8
16
16
16
0
0
0
0
24
0
1
1
0
0
2
0
8
8
24
24
0
8
2
0
16
6
6
6
1
1
2
0
2
17
0
0
4
17
0
0
0
8
2
0
0
0
0
0
4
0
4
4
4
4
4
0
0
0
0
8
4
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
16
20
20
20
20
8
0
0
0
0
0
0
0
0
16
16
16
0
1
13
8
4
16
16
16
6
6
8
10
16
16
0
2
0
24
24
24
24
24
0
8
8
0
8
1
8
8
0
0
0
0
0
0
8
8
8
8
1
8
49
8
16
0
4
0
0
0
0
0
0
0
16
0
0
0
0
16
0
0
0
0
8
8
4
0
16
16
0
0
0
0
0
8
0
4
0
0
5
0
0
8
0
0
12
0
1
0
0
8
8
10
0
0
0
1
8
0
0
3
8
8
8
8
0
8
8
0
12
12
0
0
18
0
8
0
0
0
0
0
0
2
2
4
4
0
0
24
12
0
0
0
0
24
24
24
24
0
0
0
0
0
0
0
0
4
8
16
0
0
8
8
8
8
0
18
0
1
0
8
8
2
0
0
0
0
2
0
4
4
0
0
0
8
8
4
16
16
0
0
0
0
0
16
16
0
0
28
0
0
20
0
8
8
1
1
4
4
4
8
32
0
8
4
0
16
8
2
2
2
0
8
12
0
0
0
0
8
16
0
0
0
8
8
8
8
8
8
8
8
8
0
8
8
8
16
16
16
16
0
0
0
0
0
0
0
0
0
0
4
0
16
16
16
16
2
0
0
8
0
32
0
0
0
0
0
0
16
2
2
8
16
0
4
0
0
4
4
0
0
16
24
0
0
35
0
16
16
8
8
0
0
0
24
16
0
1
1
8
28
16
2
0
1
8
0
8
0
0
0
0
16
0
0
16
0
18
18
18
0
4
4
8
0
0
32
8
8
16
12
4
16
0
0
10
0
0
4
4
4
0
0
0
0
0
0
16
0
28
0
0
0
4
4
0
0
0
1
0
0
0
8
8
8
1
8
8
8
8
32
8
8
16
1
1
0
32
0
16
16
16
0
8
1
1
16
0
0
0
0
24
0
16
16
8
0
0
0
20
0
0
0
0
0
0
16
0
0
1
0
0
0
0
0
0
0
0
8
8
8
8
8
8
0
0
0
0
8
0
0
0
8
16
1
2
4
0
0
0
0
16
16
16
0
0
0
0
0
8
0
0
0
0
0
0
0
8
8
0
8
8
0
0
0
0
32
0
1
0
0
0
2
2
2
0
16
16
16
0
0
2
24
24
24
16
24
0
0
0
4
4
4
4
0
0
0
4
8
0
16
0
0
0
13
0
0
8
8
8
8
8
16
8
0
0
0
1
25
0
4
4
4
4
4
8
24
0
16
0
8
2
0
2
0
0
0
8
0
0
4
0
0
2
2
2
0
8
8
0
12
16
0
8
8
8
0
0
24
0
16
0
0
24
0
9
0
0
0
4
8
0
0
0
9
9
0
8
28
28
8
8
8
3
4
4
0
0
17
1
0
0
8
0
0
0
0
0
0
0
0
0
16
16
0
0
4
8
16
0
16
8
0
0
8
57
0
0
0
0
4
0
0
32
4
0
0
16
8
0
0
16
0
8
8
8
8
8
0
0
0
0
0
0
17
17
32
8
24
0
0
8
8
0
0
16
0
0
8
8
32
32
32
4
4
4
0
0
0
0
0
0
0
0
16
48
16
8
0
0
0
0
8
8
0
0
0
16
21
0
0
0
22
16
16
8
8
8
0
0
8
16
0
8
0
0
2
2
4
8
0
0
32
17
0
17
17
17
1
0
0
0
0
0
0
0
0
8
8
0
8
0
0
16
8
16
8
0
0
0
8
16
0
4
4
4
1
1
16
16
4
4
0
0
0
8
4
24
1
1
1
2
2
0
0
0
0
1
0
0
0
8
16
0
0
0
0
8
8
8
0
8
8
0
0
0
16
16
16
16
0
0
16
8
0
0
8
8
8
8
0
8
8
8
40
40
40
0
0
8
18
18
0
0
0
16
0
0
10
8
0
16
24
16
16
16
8
8
8
0
0
8
0
0
0
4
8
0
0
0
18
0
16
16
16
8
14
8
8
0
4
8
16
0
0
0
1
0
16
4
0
8
0
0
0
0
0
0
4
0
0
0
0
0
0
0
24
0
4
19
20
0
36
8
28
8
0
4
9
16
16
0
0
17
17
16
8
8
8
8
8
8
8
0
0
0
20
3
16
32
0
0
1
0
2
0
0
1
8
8
0
0
0
0
0
0
41
0
0
12
16
0
0
0
0
32
0
0
0
4
4
4
8
0
4
0
8
0
1
27
8
9
9
9
9
8
16
4
8
0
0
0
0
0
1
1
0
0
16
16
0
16
16
16
8
2
0
8
8
8
0
0
0
16
8
8
0
16
36
8
8
1
1
0
0
8
8
4
4
4
8
8
2
8
8
8
0
2
8
8
0
8
0
0
0
0
0
0
8
8
0
16
0
0
0
20
0
0
0
8
8
8
0
0
0
0
4
0
0
20
20
20
0
0
0
0
8
0
0
16
8
8
8
8
0
0
8
8
8
1
1
0
16
16
0
0
0
8
8
8
0
8
0
8
0
0
16
0
0
0
8
0
0
8
1
0
0
0
0
0
8
0
40
16
10
8
0
0
0
0
0
0
16
4
0
8
8
0
56
9
16
20
20
4
0
16
1
16
16
0
16
8
22
0
0
0
0
1
1
32
8
0
0
0
0
0
0
9
9
8
4
0
16
0
1
0
16
0
0
16
8
8
16
16
26
0
0
0
0
0
0
4
8
4
12
12
12
12
0
8
2
16
16
0
0
20
16
0
1
16
0
0
0
0
0
0
8
24
8
2
0
0
4
0
0
0
8
8
4
8
0
0
0
0
17
17
17
0
0
0
0
4
4
4
8
0
0
0
4
4
4
4
4
0
8
8
8
0
4
1
0
0
5
0
0
0
0
0
0
0
0
8
4
4
4
16
8
1
2
0
0
1
0
0
0
8
8
8
0
0
16
0
8
2
2
0
0
0
0
0
0
0
16
8
0
20
0
0
0
0
0
0
0
8
8
10
10
10
0
0
24
24
32
0
16
16
2
2
9
2
2
2
2
0
0
0
18
0
16
0
8
8
8
0
0
24
0
8
8
8
20
20
0
0
0
24
0
0
16
16
4
0
0
24
8
0
0
0
4
4
4
0
0
28
28
0
0
0
1
0
16
0
4
4
4
0
0
8
0
4
4
16
16
16
8
0
2
4
4
32
8
0
0
0
20
20
0
0
0
4
0
0
0
8
8
8
16
0
0
0
8
0
8
0
0
8
8
8
8
0
0
0
0
8
0
8
24
4
16
16
8
8
0
0
0
11
11
0
0
0
0
0
0
4
2
2
16
16
16
0
16
16
0
16
4
4
8
8
0
1
1
0
0
0
32
8
4
4
4
0
16
0
0
0
0
0
16
0
0
2
2
0
0
9
0
0
0
0
24
0
0
8
18
18
0
0
0
0
0
24
2
0
0
0
0
8
16
8
8
0
0
0
0
2
2
0
4
0
0
0
0
0
0
0
4
4
1
1
0
0
0
8
0
0
2
0
1
0
16
0
0
0
0
0
16
4
4
0
0
0
0
0
4
8
8
1
1
0
0
0
0
2
2
2
0
0
1
8
1
1
16
16
16
16
0
10
26
8
8
8
8
0
0
0
16
16
0
0
8
8
8
8
0
25
0
8
0
0
0
0
0
8
8
8
8
0
0
0
0
0
0
0
0
0
8
8
0
0
8
8
8
0
16
16
16
4
1
1
0
0
0
16
0
0
0
0
0
16
16
8
8
0
0
0
32
32
16
0
0
0
0
0
0
0
24
24
24
0
4
8
2
16
8
8
16
16
0
0
0
8
0
0
0
0
16
0
0
8
0
8
8
0
0
1
1
0
0
0
43
0
0
8
4
4
0
0
0
0
0
0
8
4
8
8
16
0
16
0
32
4
8
2
16
16
16
0
8
8
8
8
0
0
8
4
8
4
4
0
0
16
16
8
0
33
16
16
16
8
16
16
16
0
0
8
0
0
0
0
0
0
0
8
8
48
0
0
0
0
0
0
4
0
0
0
0
8
0
16
0
8
0
0
0
0
0
0
4
4
8
4
8
16
8
8
0
0
0
0
8
32
6
6
6
16
0
0
0
0
0
0
16
0
0
0
0
0
0
16
16
4
15
15
0
0
0
0
0
0
16
0
0
2
0
8
0
2
2
2
0
26
26
8
16
16
0
0
0
16
4
1
28
12
8
0
0
0
0
0
8
8
8
8
16
16
14
14
0
16
0
8
8
1
8
16
8
0
0
0
0
0
8
8
0
8
8
4
4
0
8
8
0
8
0
2
2
0
0
0
8
0
8
8
24
24
24
0
0
0
0
2
2
12
12
12
0
0
0
0
0
0
8
8
8
8
0
0
4
0
8
0
8
32
0
8
0
0
0
0
2
0
1
8
0
16
0
0
0
0
4
4
0
0
44
16
8
0
8
0
8
8
8
8
8
8
8
8
8
16
16
8
8
16
0
0
0
8
16
8
20
16
5
1
12
1
4
0
16
0
0
8
16
0
8
4
8
24
0
0
0
0
0
0
0
0
0
4
32
8
8
20
24
0
0
0
16
24
0
0
0
8
8
1
0
8
8
8
8
8
16
16
4
0
0
0
0
8
1
32
0
1
1
1
0
8
0
8
0
0
0
0
4
4
0
0
0
16
8
0
0
0
8
16
8
0
0
8
8
40
8
0
8
8
8
8
16
0
8
8
0
2
2
0
8
0
0
0
8
0
0
0
20
0
0
4
8
8
8
8
24
1
0
8
8
8
10
0
0
16
0
8
8
0
8
0
0
0
16
16
8
8
8
0
0
4
4
0
0
0
8
8
8
0
0
0
16
0
0
0
0
0
12
18
0
0
0
0
32
0
0
0
0
8
0
0
0
2
2
2
0
8
16
16
16
0
16
16
16
0
0
4
0
8
16
16
16
0
16
8
0
0
0
0
0
0
0
8
0
2
0
0
8
0
0
13
8
0
2
0
0
0
0
32
1
0
8
8
2
0
16
0
0
8
0
0
0
0
1
1
0
24
2
0
12
12
12
12
8
0
0
0
0
1
16
13
13
0
1
1
1
8
0
8
0
0
0
0
0
8
0
0
24
3
0
0
8
0
16
16
16
0
8
0
0
8
0
0
0
24
0
0
0
0
0
0
0
21
0
8
0
0
0
0
42
16
0
0
0
8
4
4
17
58
0
0
8
8
8
0
8
4
0
0
0
0
0
0
0
0
3
4
0
16
4
8
0
0
0
2
2
2
16
4
16
25
8
8
8
0
0
8
0
0
0
0
0
8
8
4
0
0
0
0
0
0
1
8
8
8
8
0
0
0
0
16
16
16
16
16
16
0
0
0
16
0
8
0
0
0
0
0
16
16
16
16
4
1
16
0
0
0
0
0
0
0
16
16
0
0
0
8
0
0
0
6
6
0
4
4
4
8
4
8
8
0
0
0
1
0
0
1
1
24
0
0
8
8
8
0
0
0
0
16
16
0
0
0
4
0
0
32
0
8
8
8
8
0
4
12
12
0
0
0
0
8
8
8
0
0
0
0
0
0
4
4
4
0
8
8
8
0
4
17
8
0
8
1
1
0
24
16
0
8
8
0
0
0
0
0
0
8
8
16
0
4
4
0
0
0
0
4
1
8
0
0
0
4
8
4
1
8
8
0
0
0
0
0
6
4
8
8
17
17
8
8
0
0
0
18
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
16
24
0
8
2
2
2
2
4
16
8
16
0
8
0
0
0
0
16
0
16
14
8
16
12
0
0
0
8
16
16
0
0
8
8
16
16
16
8
0
8
0
8
0
8
16
0
0
0
0
0
0
0
9
0
4
57
57
57
57
0
0
0
0
0
4
0
0
0
8
8
0
0
0
0
4
8
0
0
0
0
4
0
0
0
8
8
0
6
4
4
0
0
16
0
0
0
8
8
0
0
0
8
0
8
0
0
16
8
8
0
4
0
0
0
0
0
0
0
16
0
8
1
16
8
0
0
0
0
8
8
8
8
8
8
8
1
1
0
0
16
0
2
0
0
0
0
4
4
0
0
0
8
8
9
9
9
9
9
9
8
16
0
0
8
0
0
0
8
8
8
8
8
16
20
1
0
2
0
4
4
4
41
41
16
16
0
0
16
16
8
0
8
16
0
12
0
0
0
0
2
8
16
16
8
1
0
0
0
0
8
16
0
0
0
0
0
0
0
8
8
16
16
0
0
0
0
0
0
0
0
24
16
0
0
0
0
8
0
0
0
0
0
0
0
0
16
16
0
8
0
8
8
5
0
0
0
0
10
16
0
0
0
2
2
8
8
0
32
16
0
0
16
16
16
16
8
1
0
4
8
8
8
0
16
0
4
16
16
16
0
0
0
0
8
8
2
0
8
0
0
8
10
10
0
0
8
0
0
1
8
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
16
57
8
8
16
8
8
0
1
1
8
0
8
8
8
8
8
8
8
4
1
1
16
0
0
0
0
0
0
8
0
33
0
8
8
0
12
0
0
8
8
8
8
8
0
0
0
8
24
1
16
16
0
0
0
0
0
0
8
8
8
16
16
16
8
0
8
8
0
0
16
16
16
16
16
16
0
0
24
0
8
24
0
8
38
38
38
0
1
1
0
4
16
8
0
0
0
0
32
0
16
0
8
8
0
0
8
0
0
8
0
16
8
16
0
16
8
0
0
0
16
16
16
0
0
0
0
0
8
4
4
4
4
0
0
0
8
2
0
0
8
1
8
16
0
0
0
2
17
17
33
33
0
1
16
16
16
0
2
2
0
25
24
4
4
1
8
8
0
0
4
0
8
0
0
8
8
0
0
0
0
0
0
16
20
0
0
0
16
16
16
16
16
0
0
0
0
0
0
0
0
0
0
8
8
8
8
0
0
0
16
0
0
0
0
0
0
16
0
0
0
24
24
0
0
1
12
0
0
0
24
24
24
8
4
4
0
0
4
4
4
8
4
8
0
0
0
32
0
0
16
8
8
0
1
0
0
8
8
0
28
16
8
8
0
0
16
16
4
16
0
0
0
0
8
56
56
8
8
9
9
0
1
0
0
0
16
0
0
0
4
0
0
8
22
0
0
0
0
0
0
4
4
4
0
2
0
0
0
0
0
0
8
0
0
0
8
0
0
0
0
8
0
8
0
8
0
0
0
0
0
4
0
0
0
0
8
0
0
0
8
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
32
32
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
8
0
0
0
0
0
0
8
0
0
0
0
16
16
16
16
8
0
8
8
0
32
0
0
8
0
0
0
4
0
0
0
0
32
8
0
0
0
0
0
0
0
0
0
0
0
0
0
24
16
20
24
0
0
0
0
0
0
0
1
26
0
0
0
0
0
0
0
0
0
0
0
4
12
0
0
0
26
26
26
26
0
0
0
8
8
0
1
0
0
0
0
0
0
0
20
20
24
16
0
0
0
20
0
0
8
8
8
8
0
20
0
4
0
0
8
16
8
8
0
0
0
0
8
8
0
24
2
0
0
4
0
8
8
6
8
8
0
0
0
0
0
8
8
8
16
0
0
0
16
16
0
9
0
0
0
8
8
4
0
0
0
0
8
4
4
8
0
0
0
0
8
8
0
8
8
8
8
8
0
0
0
0
0
0
0
8
8
0
0
8
8
0
8
0
0
8
16
8
8
0
16
0
0
0
0
0
0
0
2
2
2
8
0
8
16
0
8
8
0
24
16
16
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
2
8
9
9
9
32
0
1
0
0
0
0
8
8
0
0
16
0
0
0
0
0
2
0
1
32
16
4
0
0
0
5
5
8
0
8
8
16
16
8
16
8
0
28
28
0
4
0
0
0
0
8
16
8
0
8
0
0
0
0
8
8
4
0
8
0
0
0
0
16
0
0
0
0
16
9
0
16
0
8
0
0
0
0
16
0
0
0
0
8
0
8
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
16
2
4
0
16
0
0
8
0
0
24
16
0
8
8
8
8
8
8
8
16
0
0
0
0
0
0
8
8
16
0
0
0
0
0
24
0
1
8
8
0
0
0
0
0
0
0
0
4
16
16
0
0
0
0
0
0
0
0
16
0
0
0
16
0
0
0
12
16
0
8
8
0
0
0
0
0
12
8
0
0
8
0
0
8
0
4
0
2
8
8
0
0
0
0
8
8
8
0
0
0
0
0
0
1
1
8
8
0
0
56
56
8
0
0
0
0
0
8
0
8
0
8
0
0
8
8
0
0
0
16
0
16
4
8
8
4
0
0
0
1
2
0
0
0
24
0
0
0
1
0
0
0
0
0
0
1
1
1
0
0
0
0
13
0
0
0
0
0
0
0
8
20
1
0
8
8
1
1
0
0
0
0
4
2
0
0
8
8
8
0
0
8
16
0
8
0
0
48
48
8
4
0
5
5
0
0
0
0
0
4
0
0
0
8
8
5
8
8
9
16
16
2
0
16
16
16
0
8
8
8
4
8
8
8
0
0
24
0
0
8
0
0
0
0
0
0
8
0
16
0
0
0
0
2
8
8
8
0
0
8
8
0
0
8
0
0
0
0
8
0
0
0
8
24
8
16
4
0
0
16
48
0
0
0
0
0
0
0
16
16
8
0
2
2
2
4
4
16
0
0
0
0
2
2
0
8
4
8
8
0
8
8
16
16
16
16
16
16
16
8
9
0
0
0
0
0
8
17
0
0
0
0
0
0
0
4
4
4
0
0
4
0
0
0
0
0
0
0
0
8
0
22
0
0
8
12
8
8
10
8
0
10
0
0
0
0
0
1
8
0
0
0
0
0
24
24
0
16
0
0
8
0
8
8
0
0
0
0
0
1
0
8
8
8
0
0
8
0
0
4
4
4
0
16
0
0
1
0
0
0
0
16
8
16
16
16
0
0
0
24
24
24
0
0
4
4
4
4
4
0
0
0
8
0
8
8
4
0
0
0
0
0
0
0
0
8
8
8
8
0
16
0
1
1
1
4
4
2
2
0
2
0
0
0
0
0
0
0
8
0
0
0
0
0
0
8
16
16
1
0
0
0
0
8
0
0
0
0
0
12
12
0
0
0
1
0
0
16
16
0
0
0
0
16
16
0
16
0
8
16
16
16
0
0
0
16
4
0
8
0
16
16
2
0
0
0
8
8
8
8
8
0
8
0
20
4
0
16
16
43
0
0
0
0
0
0
16
16
24
0
1
1
1
0
8
0
8
0
0
8
0
4
8
16
16
16
0
0
0
0
0
0
0
16
0
0
0
0
11
8
21
8
0
8
0
0
16
24
24
0
4
17
0
0
0
16
0
0
0
1
4
0
0
0
8
0
8
0
0
0
0
0
0
0
0
4
0
24
0
0
0
0
0
16
0
0
0
18
0
0
0
0
0
0
8
8
8
8
0
8
0
1
1
0
8
8
8
8
0
0
0
0
0
0
16
0
0
0
0
0
8
0
0
0
16
16
16
16
16
16
0
16
0
0
0
0
0
8
0
0
14
13
0
10
16
0
8
8
0
0
0
0
0
0
8
0
0
8
16
24
24
16
16
16
0
4
0
0
8
0
0
20
2
0
8
0
0
8
8
0
8
8
0
0
8
1
8
8
0
0
0
0
32
0
16
0
0
0
8
0
0
16
16
20
20
8
8
8
32
16
8
18
18
18
16
4
4
0
0
0
0
1
0
0
8
0
16
16
0
0
0
6
32
0
12
12
0
32
8
4
0
16
0
16
8
16
16
16
0
0
0
0
0
0
0
16
8
8
8
8
17
16
0
16
0
0
0
1
16
8
0
0
0
2
0
4
0
0
1
16
0
8
0
8
1
8
0
0
0
0
0
0
0
8
8
5
0
4
48
0
0
4
0
0
8
8
9
1
0
20
0
0
4
0
8
0
0
0
2
0
8
8
0
0
0
0
4
9
9
8
0
0
0
0
6
4
0
0
2
0
0
16
28
8
0
16
0
0
4
1
1
0
2
0
0
8
0
0
0
36
36
8
16
0
16
0
1
0
0
8
8
8
0
1
8
0
1
28
28
17
8
8
16
16
0
1
8
4
16
16
8
8
8
0
8
8
0
8
28
4
1
1
0
0
0
16
16
0
16
0
0
0
1
16
0
16
1
1
16
16
0
8
0
8
20
32
0
0
0
0
4
8
8
8
0
0
2
2
8
16
8
24
0
8
0
0
0
24
0
0
0
16
0
0
1
0
0
0
0
0
0
8
16
16
32
0
0
0
16
0
0
0
16
16
16
16
16
16
0
0
16
16
16
0
0
0
0
0
16
0
0
0
0
1
12
0
20
16
16
0
0
0
2
2
0
4
4
8
0
0
0
0
6
2
8
8
0
0
0
0
0
0
8
16
16
16
0
8
8
8
0
4
1
1
0
4
4
4
4
4
4
60
0
0
0
0
0
8
17
8
0
0
0
16
0
8
8
0
0
0
0
0
4
0
16
32
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
8
1
16
6
6
28
8
24
0
0
8
0
0
0
33
16
0
0
0
0
0
0
0
16
16
16
2
0
8
8
0
8
0
0
0
0
8
0
0
0
8
16
0
0
16
0
0
4
0
0
0
0
16
17
24
0
8
8
0
1
1
1
1
1
16
2
0
8
16
16
0
0
0
16
11
2
0
0
0
0
0
0
0
0
16
16
0
0
16
16
0
0
0
0
0
8
0
8
8
1
1
1
0
2
1
0
0
16
3
20
52
52
52
0
0
0
0
0
0
24
0
0
2
2
0
16
8
8
8
48
0
8
24
0
24
24
24
0
0
0
8
0
0
0
0
1
4
0
16
5
0
0
16
0
0
0
0
8
5
8
0
0
0
0
0
0
0
0
0
8
8
8
8
16
8
20
0
16
16
16
16
16
16
0
18
18
8
0
0
0
24
0
0
2
0
0
0
0
0
6
0
0
0
12
12
0
0
0
0
8
0
0
8
0
0
8
0
0
8
8
8
0
0
8
0
0
0
0
0
4
0
0
0
0
0
8
8
0
0
0
4
0
16
8
8
8
0
0
2
0
0
1
1
0
0
16
24
1
0
0
4
0
1
0
0
8
0
0
0
0
32
0
16
0
0
16
0
0
8
8
8
0
0
0
0
0
16
4
8
8
8
1
0
0
0
10
8
8
0
0
0
0
0
0
0
8
16
0
8
8
2
8
8
8
8
8
8
0
33
0
8
0
8
0
0
0
0
1
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
8
0
0
12
12
0
16
0
0
0
0
1
8
24
16
16
0
0
4
0
0
16
0
24
0
0
8
0
0
0
16
24
8
8
0
16
0
0
8
16
0
8
16
16
16
0
0
16
8
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
6
6
0
0
0
0
0
0
16
0
0
0
0
0
20
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
16
0
0
8
8
0
0
0
0
0
0
8
0
0
0
0
16
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
8
0
0
0
0
0
0
0
0
0
37
8
0
0
0
0
0
0
0
0
0
0
8
24
0
8
0
0
16
12
8
0
0
0
0
0
0
0
0
1
0
0
0
0
4
8
0
1
0
2
16
0
8
0
0
8
8
9
2
0
8
0
0
0
8
8
0
0
0
2
0
0
0
0
0
0
0
0
0
16
16
8
16
0
16
16
0
0
0
0
0
0
8
8
0
0
8
0
0
0
0
0
0
0
0
16
8
4
0
0
0
4
4
0
0
0
8
0
4
10
10
0
24
0
2
4
0
0
4
4
8
8
0
0
0
0
0
8
8
0
0
8
0
0
8
8
0
0
0
8
16
16
0
0
0
0
0
0
4
20
0
0
1
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
32
32
16
16
2
8
0
0
0
16
16
10
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
0
0
0
0
16
1
0
0
16
16
0
0
0
0
0
0
0
14
0
0
0
0
0
0
0
16
1
0
0
0
0
0
8
0
1
1
0
0
0
0
0
0
0
0
24
25
25
0
16
8
0
0
0
2
8
0
16
16
0
0
0
8
9
9
0
0
0
8
0
0
0
8
8
8
0
0
0
0
8
1
16
0
2
0
0
8
8
24
8
24
24
12
12
0
0
0
0
0
2
2
24
8
8
0
0
57
57
57
57
57
0
2
1
16
0
0
0
0
8
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
8
16
16
0
8
0
0
0
0
0
16
0
0
16
16
0
0
8
0
1
7
1
0
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
16
24
32
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
12
8
0
0
0
0
0
0
8
0
5
0
0
0
0
0
0
0
0
0
16
8
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
17
1
0
0
0
8
0
0
0
0
0
0
0
8
0
0
0
0
0
0
4
0
0
0
8
0
0
0
0
0
4
4
0
8
0
0
0
0
1
0
0
0
0
0
8
8
16
16
1
1
2
2
4
12
0
16
16
16
0
0
32
0
0
0
0
0
0
0
0
2
0
0
0
0
0
1
10
0
0
0
0
0
40
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
8
0
0
16
0
0
0
0
0
0
0
4
4
0
0
8
0
0
0
0
0
0
0
0
0
0
0
4
1
4
0
0
0
0
32
8
0
0
0
16
16
17
0
0
0
0
0
8
0
0
0
0
0
0
4
24
24
4
8
0
0
0
32
20
0
0
0
0
20
2
0
0
24
0
0
0
0
8
8
0
37
0
2
16
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
8
8
0
0
0
4
0
0
0
0
0
0
0
0
0
8
8
1
1
16
0
32
16
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
4
4
0
0
0
2
0
0
0
16
0
24
24
24
8
4
8
0
0
0
0
8
0
0
0
4
0
0
4
4
0
0
0
0
0
0
0
0
28
0
8
0
0
0
0
0
0
20
20
20
1
16
0
10
1
8
8
8
1
16
26
16
8
0
0
0
0
1
1
0
17
0
24
0
0
0
2
2
0
8
4
0
32
1
8
0
0
0
16
1
0
0
16
0
8
8
0
0
0
0
0
8
2
8
1
8
8
0
0
0
0
0
0
8
8
6
6
16
0
40
0
0
16
8
24
8
0
0
0
0
0
0
16
16
16
16
0
0
0
0
0
16
0
0
0
0
0
16
16
16
16
2
2
0
0
0
0
16
0
0
0
0
0
0
0
0
8
0
0
8
4
0
0
0
8
0
1
0
2
2
1
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
16
0
0
1
0
0
0
0
8
8
4
0
0
0
0
0
0
0
8
0
0
8
25
0
2
2
2
1
1
1
0
0
0
12
0
4
0
0
1
18
18
8
8
8
8
0
0
0
8
0
16
16
0
8
0
0
0
0
0
16
16
0
0
0
8
0
0
0
0
0
4
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
32
0
0
8
0
0
0
16
16
16
16
0
0
0
0
0
0
0
0
0
0
0
20
16
0
0
0
0
2
0
0
0
0
0
0
0
16
0
2
2
0
8
0
0
0
0
4
4
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
8
0
0
4
0
0
4
2
2
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
1
10
8
8
0
0
0
0
0
8
0
0
1
0
8
16
8
16
0
0
8
0
2
0
16
8
8
0
8
8
8
16
24
32
8
0
0
0
3
3
8
22
0
0
0
0
0
0
0
0
8
4
4
4
4
4
49
0
0
0
0
0
0
0
0
8
0
0
0
0
9
9
0
8
0
0
0
0
0
0
9
0
0
0
0
8
8
0
2
8
0
0
0
0
8
4
2
8
12
8
0
0
0
0
0
0
0
8
2
0
1
8
8
8
0
0
0
2
18
16
0
0
0
0
8
0
0
0
4
0
0
0
0
0
0
24
0
0
0
16
16
16
0
0
0
0
0
0
0
0
0
0
0
33
4
0
0
0
0
0
24
0
0
0
0
8
0
0
0
0
0
4
2
0
0
0
16
0
0
8
0
0
2
2
0
0
0
0
0
0
16
32
0
0
1
0
8
8
0
0
24
24
24
0
0
17
0
0
0
0
22
0
0
0
0
26
14
14
0
0
16
0
0
8
8
16
0
0
0
8
0
2
2
20
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
16
16
16
0
0
0
8
4
0
0
0
8
0
8
0
16
16
0
0
0
0
0
0
17
4
0
0
0
0
0
0
4
4
0
0
0
0
0
0
0
8
0
8
16
0
0
0
1
8
4
0
0
0
0
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
2
9
16
0
16
0
0
0
0
0
0
0
24
0
0
0
0
0
0
2
2
0
0
0
0
0
0
0
0
0
16
0
0
8
0
0
0
0
0
0
0
0
12
0
4
4
0
22
0
0
12
0
0
0
0
0
0
0
0
8
8
2
0
0
8
0
4
4
4
8
16
0
0
0
0
0
34
0
0
0
0
16
2
2
0
0
0
0
1
1
2
0
8
0
0
0
0
0
0
0
8
0
1
4
4
0
0
0
2
2
0
8
0
0
0
0
0
0
8
16
8
8
0
0
8
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
16
0
0
0
0
12
0
0
0
0
0
0
0
0
2
4
20
16
8
8
8
24
0
0
0
0
16
0
0
0
8
0
0
0
0
0
12
0
0
0
16
0
0
0
0
0
0
16
0
0
0
17
24
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
8
0
0
0
1
0
0
0
0
0
0
0
24
24
0
0
2
0
8
8
8
8
8
16
8
8
0
4
4
0
0
0
0
0
0
0
16
0
8
0
0
0
8
0
0
8
0
0
0
0
0
16
16
16
4
0
0
0
0
0
0
0
0
0
0
0
0
44
16
0
0
0
0
1
0
0
0
0
16
1
16
16
0
0
0
0
0
0
0
0
0
20
0
21
21
0
6
0
0
0
0
16
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
24
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
8
0
0
18
18
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
8
0
0
0
16
16
0
8
8
8
30
30
30
8
8
0
0
0
0
0
6
6
16
16
16
0
0
2
2
0
0
4
8
12
8
8
0
4
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
16
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
8
0
0
0
0
0
0
16
0
8
16
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
16
16
16
16
16
0
0
0
0
0
16
0
24
24
2
8
0
0
0
0
8
16
0
0
0
0
0
0
0
0
0
0
0
4
4
16
0
0
0
19
8
0
0
0
0
8
8
8
18
0
0
0
1
1
5
5
8
0
4
0
0
0
0
0
0
0
4
0
0
16
0
0
0
0
0
0
40
0
8
0
0
24
2
8
0
8
8
0
2
0
0
0
0
8
18
0
0
0
0
8
0
0
0
0
16
0
0
0
8
8
0
0
0
0
0
0
16
0
0
0
0
8
8
1
0
0
0
14
0
0
0
0
8
0
4
4
0
0
16
16
16
8
8
1
0
0
8
0
0
0
0
0
0
8
0
8
2
0
0
0
0
0
0
4
0
0
16
0
0
4
0
0
0
0
0
0
25
8
0
2
8
0
0
0
8
0
0
0
8
4
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
1
0
16
0
0
0
8
0
31
31
4
2
0
0
0
0
8
0
0
0
0
2
0
0
0
8
8
0
0
0
0
0
1
1
1
8
0
0
0
0
8
0
16
16
0
0
8
8
8
8
8
0
0
0
0
24
24
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
8
0
2
2
8
4
0
0
0
0
0
0
10
16
0
0
16
16
16
16
0
0
0
0
4
8
8
0
0
0
8
0
0
0
0
0
0
0
0
4
16
0
3
3
0
8
0
16
5
5
16
0
0
0
0
0
20
8
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
4
0
0
0
4
0
32
0
16
0
0
0
0
0
0
8
8
0
0
0
8
8
8
0
0
16
0
8
8
2
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
32
0
16
0
0
0
8
8
8
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
9
4
0
0
8
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
12
1
0
0
0
0
0
17
0
0
8
0
0
0
0
0
0
24
0
0
0
24
24
0
8
0
0
0
32
32
32
8
0
16
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
4
0
0
1
8
8
8
0
0
0
4
0
0
0
32
0
0
8
8
0
0
0
0
0
0
0
0
0
8
18
8
8
8
8
0
0
0
0
20
0
0
0
0
0
0
4
0
8
16
16
16
32
0
0
0
0
0
1
0
0
0
0
0
0
16
0
0
1
24
24
0
16
0
0
0
0
0
0
0
0
0
0
0
16
16
16
0
0
0
1
0
8
8
0
0
0
8
0
8
2
2
4
16
0
16
16
8
2
2
2
0
8
16
0
0
0
0
0
0
8
8
1
0
0
0
0
0
16
16
0
0
4
0
32
0
0
0
0
0
0
0
0
0
0
4
1
0
0
1
0
16
0
0
0
24
24
0
0
0
0
0
0
0
0
8
4
0
2
8
8
0
0
0
0
0
6
0
8
8
0
0
0
4
4
0
16
16
0
0
0
0
0
0
0
1
4
0
8
0
16
6
6
2
2
2
2
2
2
0
8
0
0
0
18
18
4
0
0
0
0
16
4
0
0
8
16
1
1
0
0
0
0
8
0
0
16
0
0
7
7
7
7
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
8
8
0
28
0
0
2
2
32
0
0
0
0
0
0
0
0
0
0
0
0
0
24
2
0
0
16
16
0
4
16
0
0
0
0
0
0
0
0
0
16
16
0
4
16
0
8
0
10
16
8
0
0
0
0
16
0
0
12
8
8
8
33
33
0
0
0
16
8
16
0
10
0
8
0
0
0
0
4
0
0
0
0
8
0
0
0
2
8
8
0
1
0
0
8
8
8
0
0
0
1
2
0
8
0
0
0
0
8
8
0
4
0
0
0
8
1
1
9
0
0
4
0
0
0
26
8
0
0
0
8
8
8
8
0
0
4
4
0
0
1
0
0
0
0
0
1
1
0
0
16
16
0
16
16
8
8
0
0
0
0
0
0
0
0
0
56
0
0
0
0
0
9
4
0
0
0
0
8
16
16
0
32
32
4
8
0
8
8
0
0
0
8
4
0
0
32
0
0
8
8
0
0
0
8
0
0
0
33
0
40
40
8
0
0
0
0
0
0
4
4
1
0
8
0
0
16
16
0
0
0
8
0
1
0
4
4
0
0
8
8
16
0
0
0
0
0
0
12
0
0
0
0
0
16
16
0
0
0
0
1
0
16
0
0
0
3
3
3
3
3
0
0
28
0
16
16
0
0
16
16
0
2
17
0
0
0
0
0
4
8
8
8
0
0
0
24
24
0
0
0
24
16
4
4
8
24
16
8
8
0
0
8
0
8
0
0
0
0
0
0
0
0
0
8
0
8
4
4
0
0
16
0
0
16
0
0
8
8
0
8
8
0
4
8
0
2
0
0
0
0
0
18
0
0
24
24
24
0
0
0
0
0
0
0
0
0
0
8
0
17
0
0
48
48
48
4
4
4
0
4
0
0
0
1
16
0
0
0
8
0
0
0
0
5
16
2
2
7
0
0
0
0
0
0
8
0
0
17
0
0
16
8
0
0
0
16
0
1
0
0
0
0
8
0
0
8
0
0
8
8
8
0
8
4
24
24
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
20
0
0
0
0
0
0
16
0
0
8
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
8
0
8
0
8
8
0
0
8
0
0
28
8
8
0
0
0
0
0
0
0
0
0
8
2
0
0
0
0
8
8
8
0
0
0
8
8
8
0
0
8
0
16
16
1
4
0
0
17
4
4
4
16
0
0
0
0
0
32
8
24
0
0
8
8
8
4
4
0
0
0
8
8
0
0
0
8
8
0
32
0
0
0
0
0
24
4
4
0
0
0
0
0
8
4
0
0
8
0
16
8
0
0
0
0
0
16
0
0
0
8
8
8
0
0
4
16
0
0
1
8
8
0
0
0
8
8
1
1
1
1
1
0
0
0
8
0
0
16
16
0
0
0
0
0
8
8
8
0
0
0
0
0
0
16
16
16
0
0
0
0
16
0
4
0
0
16
16
0
0
16
16
8
0
0
0
4
0
8
8
0
8
8
0
18
0
0
0
0
0
16
0
0
0
0
0
0
0
8
8
8
8
0
8
0
0
0
0
16
4
4
4
8
16
16
0
0
0
0
0
0
1
8
8
8
8
0
0
20
0
0
0
0
0
16
0
0
1
1
16
1
16
16
16
0
0
14
0
0
0
0
0
0
20
0
0
0
8
1
0
0
0
0
0
0
0
0
16
16
16
16
16
16
0
0
0
0
0
0
0
0
0
0
4
4
8
0
0
8
0
0
24
0
0
8
8
0
0
0
0
0
0
16
0
16
0
0
40
0
0
32
32
32
0
16
0
0
0
0
16
0
8
4
8
0
0
8
4
4
8
1
5
8
8
14
0
0
0
0
0
0
0
0
0
0
32
0
0
0
0
0
0
2
8
16
0
0
0
0
8
0
0
1
8
16
0
0
0
0
0
0
0
24
0
0
0
0
20
0
0
0
6
0
0
0
8
0
0
2
0
8
8
8
0
0
32
16
2
24
16
9
0
0
4
4
0
34
24
24
24
4
8
0
0
8
8
4
4
0
4
16
8
8
0
0
0
8
16
0
17
16
4
0
16
0
0
59
0
8
4
4
0
0
6
0
0
0
8
0
0
0
0
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
8
0
16
16
0
0
4
8
0
0
0
16
16
16
16
0
0
8
0
0
8
0
0
0
0
0
0
8
8
0
16
8
4
0
1
0
0
8
8
8
8
8
8
8
4
24
0
16
0
1
1
8
0
8
0
8
0
0
0
0
0
0
0
17
0
0
16
16
16
0
0
0
0
28
0
1
8
16
16
16
8
0
4
0
24
24
24
0
0
8
0
0
0
0
0
0
8
0
0
0
0
0
28
8
0
0
0
16
16
0
16
2
1
0
0
0
0
0
8
4
0
2
2
0
2
2
0
0
8
8
8
12
0
8
0
0
0
8
8
8
8
0
0
0
8
8
0
0
0
0
0
0
4
0
0
8
8
0
16
8
8
8
0
0
0
0
1
1
0
8
8
0
18
0
8
0
0
1
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
16
8
8
0
16
16
8
4
24
0
0
8
8
0
0
0
0
0
0
0
0
2
0
8
0
0
0
0
8
16
0
0
4
4
8
0
0
8
0
0
0
0
4
1
16
0
0
0
0
16
16
16
4
16
16
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
24
8
0
0
0
0
24
24
0
0
0
0
0
0
16
0
8
12
0
0
0
0
0
0
24
24
9
0
0
16
16
4
32
8
8
8
0
0
0
0
17
0
0
0
0
8
8
0
0
0
4
56
56
16
0
0
0
4
0
0
48
0
0
0
0
0
0
0
36
0
8
0
0
8
8
8
8
8
0
0
0
0
0
8
0
0
32
18
24
16
0
0
0
0
0
0
0
1
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
1
0
0
49
8
8
0
0
0
16
0
0
0
0
0
8
8
0
0
0
0
8
8
0
0
16
0
0
50
0
16
12
0
8
8
0
0
0
8
8
8
20
0
0
8
0
0
24
0
0
0
0
8
0
16
0
2
2
2
2
2
0
0
0
0
0
0
0
0
16
16
16
16
16
16
16
0
1
0
0
29
4
0
0
0
0
0
0
0
16
4
16
4
4
4
4
4
4
16
16
16
8
16
0
0
0
4
0
0
0
0
0
6
2
0
0
0
0
0
0
4
0
0
0
8
8
0
0
0
8
0
4
4
4
0
0
0
0
4
22
8
32
0
0
0
0
16
16
0
0
0
4
10
0
2
1
0
0
0
0
50
0
0
8
0
0
8
0
0
0
0
0
0
0
4
0
8
3
2
8
0
8
0
2
0
2
0
0
0
0
0
16
0
8
0
0
0
58
0
0
16
0
16
0
0
0
8
8
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
4
0
0
0
0
0
0
0
0
0
12
0
0
0
16
0
24
0
0
1
0
2
2
2
28
28
8
8
32
0
0
8
8
8
0
0
0
0
0
0
8
8
0
8
8
16
8
0
0
0
8
8
0
16
0
0
1
0
4
4
8
0
0
4
0
0
0
8
8
8
8
16
0
24
0
0
18
18
8
8
1
1
0
0
0
0
0
8
8
0
0
20
0
16
16
0
2
5
0
0
0
0
0
0
0
1
1
8
8
0
8
8
8
8
0
0
0
4
16
0
8
8
0
8
8
0
9
16
0
16
0
0
0
0
2
2
0
16
0
4
0
0
0
0
16
35
0
0
8
8
8
0
0
0
0
0
0
0
8
8
0
0
0
8
8
8
8
8
8
8
0
0
8
8
0
0
1
0
0
0
8
16
0
16
16
16
0
8
0
8
12
12
0
0
8
0
8
1
0
16
16
0
32
32
32
0
8
0
0
0
0
8
0
0
1
0
8
8
24
24
24
0
0
16
16
16
16
16
16
0
0
48
48
0
0
0
4
0
8
0
0
0
8
8
0
4
0
0
0
24
0
0
0
0
0
0
0
8
8
8
1
1
1
12
0
0
0
16
0
0
0
0
0
8
1
0
0
0
0
0
0
0
0
0
0
2
2
0
0
0
0
8
0
0
0
0
0
0
0
0
0
8
0
0
24
16
0
8
8
1
0
16
0
0
0
16
0
0
0
0
8
0
0
0
8
24
0
2
0
0
0
0
0
0
8
8
16
0
8
0
0
0
0
8
12
12
0
8
8
8
0
24
16
0
0
0
0
0
0
8
0
0
0
8
8
8
0
0
8
8
8
8
32
17
32
17
17
4
0
0
0
0
16
4
4
0
0
0
0
29
1
4
0
0
0
0
0
0
1
4
4
0
0
32
12
0
0
0
0
0
0
0
0
0
17
0
0
2
0
0
0
8
8
4
8
0
0
9
0
0
0
0
0
0
0
0
0
16
0
4
4
4
4
4
9
0
0
16
0
0
0
32
0
0
0
0
24
17
0
0
16
8
8
0
16
0
0
0
0
0
0
0
0
4
4
0
40
40
40
0
8
13
0
0
16
0
1
0
0
0
0
0
1
0
0
0
0
0
0
32
0
8
8
16
16
0
0
0
8
2
0
0
2
0
0
0
8
8
0
0
16
0
24
16
0
0
16
16
16
16
1
1
0
0
0
0
0
0
1
0
0
0
0
0
0
1
1
0
0
0
0
0
16
0
8
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
20
8
0
16
0
1
1
16
16
4
8
0
8
0
0
8
0
0
0
0
0
0
0
0
32
32
32
32
0
0
0
0
0
0
16
0
24
8
16
0
24
4
4
0
8
0
0
4
0
40
40
4
16
16
16
17
0
16
4
4
8
0
0
0
0
0
0
8
0
16
16
0
0
8
0
0
0
8
0
0
0
0
0
0
8
0
32
0
0
8
0
16
32
0
0
0
1
0
0
0
0
0
0
8
8
12
8
0
16
1
0
0
8
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
1
16
16
8
32
32
32
20
8
8
8
8
0
8
4
4
0
0
0
8
0
0
0
0
24
0
0
0
0
0
0
32
24
16
8
0
16
8
0
6
8
8
8
8
4
4
4
0
8
0
0
0
0
0
0
3
2
2
16
1
8
0
0
8
8
0
0
0
0
16
0
8
16
0
8
0
8
16
0
0
8
0
0
0
2
24
0
0
16
16
16
16
0
0
0
0
0
0
8
8
4
8
16
8
8
8
0
2
16
0
0
0
16
16
0
0
0
3
0
0
16
1
16
0
8
0
4
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
4
0
4
4
0
16
16
8
0
8
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
16
16
16
0
0
2
0
0
0
0
0
0
16
16
0
0
0
0
18
8
0
0
0
8
8
8
0
0
16
8
8
0
8
8
0
0
0
0
0
0
0
0
0
8
1
0
0
0
0
0
3
0
0
0
0
0
8
0
8
24
0
0
0
4
0
0
0
0
0
0
0
0
30
16
0
0
6
4
2
2
8
0
0
0
29
29
29
0
4
16
0
0
0
0
48
8
8
2
2
0
0
0
0
0
4
0
0
0
0
0
0
0
24
24
24
48
0
0
0
8
0
0
0
0
16
2
0
0
0
0
0
8
8
4
16
8
8
0
8
8
0
0
0
0
8
0
0
0
8
0
9
0
0
0
0
24
0
0
0
0
0
8
0
1
16
0
0
0
16
16
0
0
0
0
8
0
0
0
8
8
8
0
24
24
8
0
0
12
0
0
8
0
0
3
0
0
0
0
8
0
24
0
24
8
8
0
0
0
8
0
0
0
0
0
0
0
0
17
0
24
0
0
8
8
0
0
0
8
0
0
0
0
0
0
0
0
2
2
24
24
8
16
0
0
0
4
0
0
2
0
0
0
0
0
0
8
8
8
0
0
18
4
4
0
1
1
1
0
2
0
0
34
8
3
3
16
1
0
0
0
0
0
0
8
8
8
8
12
8
8
8
8
0
8
0
0
0
0
0
2
0
26
8
8
16
16
0
0
1
32
16
0
0
0
0
0
8
2
0
0
0
0
1
32
0
0
0
0
0
0
8
0
0
0
0
4
4
16
0
0
0
0
0
8
16
0
8
8
0
0
26
8
8
0
4
4
0
8
0
0
0
0
0
0
0
0
4
6
6
0
4
0
0
16
0
0
0
0
0
0
0
0
49
0
0
0
0
0
0
0
0
8
0
0
0
0
8
8
16
32
0
0
0
0
0
0
8
0
8
8
8
8
8
8
8
8
8
8
4
0
0
0
0
0
0
0
32
16
16
16
16
0
0
16
2
2
8
8
0
0
0
0
0
8
0
0
16
16
0
8
0
0
33
32
1
0
8
0
0
0
0
0
8
0
0
0
8
1
1
0
0
0
0
0
0
0
8
8
8
8
8
13
0
0
24
0
0
0
0
8
8
8
16
8
0
0
1
2
0
0
0
0
2
2
2
4
0
0
0
4
0
4
4
0
0
0
0
0
0
16
4
0
0
0
0
0
0
4
16
1
1
18
18
4
16
16
0
0
1
0
0
0
0
0
0
62
20
2
0
8
8
8
0
0
16
0
0
0
0
0
0
8
0
0
2
0
8
0
8
0
8
0
0
0
8
8
0
0
0
0
8
16
16
8
0
0
0
16
0
16
3
20
4
0
0
4
4
0
18
18
8
0
12
0
16
0
8
1
8
17
0
0
8
0
1
8
8
0
0
2
8
1
1
16
8
2
0
0
0
0
16
0
18
0
0
1
16
0
0
22
22
22
0
16
0
16
0
0
0
0
16
16
0
16
0
0
0
0
0
1
0
0
0
8
8
0
0
0
2
0
0
0
0
0
0
0
0
20
0
0
0
8
4
0
0
0
0
0
0
0
8
0
0
0
0
0
8
0
8
0
4
0
32
1
0
0
0
0
0
0
0
16
24
0
7
0
0
0
0
8
0
0
0
0
0
0
0
0
4
0
0
0
16
0
0
8
8
0
0
0
35
40
8
16
0
0
8
0
0
16
8
0
2
0
2
0
16
4
8
0
0
0
0
0
0
0
0
0
0
0
0
4
0
4
16
0
0
0
0
8
0
0
0
33
8
0
0
2
16
16
0
8
0
0
0
2
2
17
32
32
0
0
0
0
8
2
8
16
16
0
37
0
0
0
16
0
10
0
0
0
0
0
16
0
8
8
8
0
0
0
1
0
0
0
37
16
1
2
16
0
0
0
0
0
0
0
2
8
4
8
8
0
0
16
16
0
0
0
6
8
8
0
2
2
1
4
0
1
1
1
0
4
8
6
6
4
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
16
0
16
8
16
0
0
0
0
8
0
2
0
0
0
8
8
0
0
2
16
8
8
8
1
0
8
0
0
20
8
8
12
12
0
0
0
4
4
0
8
0
0
8
8
0
0
0
16
0
0
0
0
0
0
0
0
0
0
8
4
0
8
8
8
16
16
0
0
0
0
0
0
0
0
0
0
0
0
8
0
16
16
16
0
16
0
0
16
16
5
0
0
0
0
0
24
0
0
16
16
0
0
0
1
0
2
0
0
0
16
16
2
2
8
0
0
0
0
0
0
0
2
1
1
0
0
24
8
0
0
0
0
0
0
0
0
0
8
0
0
36
0
0
0
0
8
8
2
2
2
0
2
0
8
8
0
0
0
16
8
0
0
6
16
1
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
40
0
0
0
0
0
0
16
0
0
0
0
24
1
1
0
8
8
8
0
0
16
28
0
0
0
0
17
0
0
0
0
20
0
8
0
0
0
0
16
16
16
8
36
36
12
4
0
8
0
4
0
0
0
16
16
8
2
8
8
1
0
0
0
0
0
0
0
0
0
0
0
0
17
0
0
24
24
24
8
2
0
0
2
0
0
8
8
0
0
0
0
0
4
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
2
2
0
0
0
0
0
0
0
0
0
16
16
16
8
16
16
16
0
4
8
0
0
0
0
0
0
0
0
16
56
0
0
8
8
0
17
17
0
0
8
0
0
4
2
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
8
0
0
0
0
8
0
0
0
0
8
16
8
8
0
0
0
0
0
4
24
8
0
0
0
0
0
4
4
4
0
0
8
0
16
1
0
0
0
8
16
0
0
0
8
0
0
0
0
4
0
0
0
0
0
8
8
8
4
0
0
0
1
10
10
0
0
16
0
8
0
0
0
16
0
9
0
0
1
8
0
8
0
0
0
0
19
0
0
0
0
0
8
8
0
4
0
16
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
16
2
12
12
0
0
16
1
4
0
0
0
2
2
0
0
0
17
16
0
0
24
0
0
32
16
24
0
0
0
0
2
2
4
4
0
0
0
0
0
0
1
0
0
0
0
0
8
0
0
0
0
8
32
32
0
0
0
0
0
0
16
0
16
0
0
0
0
0
0
16
16
16
16
0
4
4
4
0
16
0
0
0
0
0
0
0
0
0
32
0
8
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
2
0
0
0
0
24
8
0
8
0
0
8
8
0
0
0
0
0
0
0
0
1
0
0
0
1
1
0
0
0
0
18
0
0
0
0
0
16
1
2
0
8
0
0
0
0
0
25
25
25
0
0
0
0
2
0
0
0
0
2
0
0
0
0
0
5
0
0
0
0
0
0
0
0
0
18
18
8
0
8
0
0
0
0
0
0
0
0
0
0
0
0
1
2
19
0
0
8
0
0
0
0
0
0
16
0
0
0
16
0
0
20
0
0
0
0
2
0
0
0
0
24
0
0
0
0
4
8
2
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
14
14
0
0
0
0
0
8
0
2
8
0
0
16
8
28
28
28
0
24
0
8
32
16
16
0
0
0
0
0
8
0
8
8
8
0
0
0
0
0
0
0
0
0
4
0
16
0
0
0
0
0
10
10
16
20
8
16
4
0
0
0
0
20
8
0
0
16
16
1
0
16
0
16
0
0
0
0
2
16
0
8
0
0
8
8
8
0
0
0
0
0
0
0
0
8
0
0
0
0
16
0
8
0
0
0
0
0
16
1
1
0
4
4
4
36
4
0
0
0
0
0
1
0
8
16
0
0
16
0
0
0
0
0
0
8
0
0
4
8
4
0
0
0
16
0
0
0
0
16
0
20
0
8
0
0
4
0
0
8
41
8
8
0
0
0
8
8
8
8
0
8
0
8
4
0
0
0
0
0
0
0
0
0
20
1
1
1
1
1
0
1
1
1
0
0
0
16
0
0
0
0
16
16
8
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
36
0
0
0
0
0
0
4
0
0
16
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
25
8
29
16
0
16
16
0
4
4
16
0
0
0
32
52
0
0
0
0
0
8
16
16
0
0
0
0
0
16
8
0
0
0
0
0
0
8
8
8
0
0
0
0
4
4
4
0
0
0
0
0
0
0
0
0
10
0
8
24
24
0
0
0
0
0
0
8
8
0
4
0
8
20
0
20
0
4
4
0
0
8
0
0
1
8
0
0
8
1
0
0
0
0
0
0
2
24
24
0
16
16
0
0
0
8
8
4
8
4
16
0
8
0
0
0
0
2
0
0
0
0
0
8
0
4
4
16
0
0
0
32
0
0
0
0
0
0
8
0
8
0
0
4
12
0
8
8
16
0
4
0
0
0
8
0
0
0
0
0
0
0
0
8
0
0
8
26
2
8
8
8
16
16
16
16
16
16
1
4
16
16
16
16
2
2
9
9
9
0
0
0
0
16
16
0
0
0
8
0
16
8
16
0
16
8
0
0
0
0
0
0
0
0
8
0
0
0
0
16
0
0
16
16
2
0
16
0
16
20
0
8
0
17
0
0
0
0
0
8
8
0
0
0
1
1
0
0
0
8
8
12
16
16
0
0
0
0
0
0
32
0
8
8
4
0
0
0
0
0
0
0
10
0
6
16
0
8
0
0
8
8
8
0
0
0
0
4
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
16
0
0
0
0
0
0
0
16
0
0
0
0
48
0
24
8
0
0
32
18
0
4
4
0
0
5
0
0
0
0
0
0
0
6
6
6
6
0
0
8
0
0
0
0
0
0
8
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
8
2
8
16
0
9
0
8
8
8
0
4
0
0
0
0
0
0
0
0
16
0
0
0
0
0
16
8
0
0
4
0
8
8
0
0
0
0
0
8
0
0
2
8
0
0
12
8
8
0
0
0
0
0
1
0
0
16
0
4
4
8
16
0
0
0
0
0
0
0
0
0
16
0
0
0
8
8
16
4
0
0
0
0
4
0
0
0
0
0
0
8
8
0
0
2
0
0
0
0
0
0
8
8
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
16
8
8
0
0
8
8
4
0
0
0
0
8
0
0
0
57
40
0
0
3
3
0
0
0
0
8
16
16
4
0
0
8
8
0
8
0
0
0
8
16
16
8
8
0
0
0
8
8
8
8
8
8
16
0
0
0
0
0
8
8
16
16
16
0
0
0
8
8
8
0
0
0
0
1
0
0
32
0
0
0
53
0
0
0
0
4
0
0
0
8
0
0
0
16
0
8
8
0
0
0
0
0
56
0
0
0
4
8
8
8
8
0
0
0
0
8
8
8
8
0
0
0
32
32
0
0
0
32
0
0
0
17
16
16
16
0
0
0
4
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
4
8
24
24
0
8
1
0
4
0
2
0
0
8
0
0
16
0
0
0
0
0
0
0
0
0
0
16
0
0
4
0
0
41
4
24
24
24
4
2
0
0
16
0
0
0
0
6
0
0
0
0
0
8
8
8
0
4
8
2
2
2
8
0
0
1
0
0
0
0
39
4
0
0
8
12
16
0
0
16
11
6
6
0
8
48
0
0
9
9
16
8
8
0
16
0
0
0
8
8
0
0
0
0
24
0
0
8
0
0
0
24
0
1
1
0
1
1
1
1
1
1
1
1
1
0
0
32
0
0
0
0
16
8
8
0
0
0
0
6
6
0
0
0
0
24
0
0
0
0
16
16
0
0
0
0
0
8
0
4
34
0
4
0
0
16
0
0
0
8
0
32
32
32
0
0
0
0
0
0
0
8
1
14
16
0
0
0
0
0
0
1
16
0
0
0
8
0
0
0
0
0
8
8
0
0
0
0
3
0
0
0
0
0
0
0
0
0
4
4
0
0
0
0
24
0
0
4
16
40
24
4
0
0
0
8
16
16
16
8
0
0
0
0
0
17
17
0
0
16
8
0
0
0
0
0
0
6
6
6
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
16
0
8
0
0
0
28
0
0
0
0
0
0
2
16
12
12
0
0
8
0
0
0
0
24
24
8
0
1
2
8
16
16
0
0
16
0
8
8
0
16
16
0
0
0
0
4
0
0
8
9
0
0
0
6
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
8
0
0
0
0
0
8
0
0
0
0
0
0
0
16
0
48
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
8
8
0
2
0
0
8
8
2
8
8
0
0
0
0
0
0
8
8
8
8
8
16
0
0
0
0
8
0
0
4
0
2
2
8
0
16
16
0
16
0
8
8
0
0
8
0
0
0
0
0
0
0
0
0
0
4
4
4
4
0
0
0
8
24
8
0
0
4
4
0
0
0
0
8
16
0
0
0
2
0
0
4
32
8
0
8
0
48
1
8
0
0
8
0
32
4
0
3
0
0
0
0
17
0
0
0
4
4
1
0
0
0
0
12
12
16
16
0
0
0
0
0
0
0
0
8
8
8
8
8
0
0
0
1
16
0
0
0
16
0
0
0
8
0
7
12
0
0
0
32
0
0
0
0
0
0
0
0
4
0
0
0
8
0
0
0
8
8
4
28
28
8
1
1
1
1
1
1
1
0
0
0
8
0
0
8
16
8
8
8
0
8
0
0
0
0
0
8
0
0
0
0
2
0
16
8
0
0
0
1
0
0
8
0
0
0
0
16
28
0
16
8
0
0
8
4
4
4
12
0
0
0
0
16
16
16
16
16
16
8
8
0
0
16
4
4
0
0
0
16
0
0
0
0
0
0
0
0
2
4
4
8
0
16
16
28
16
0
0
0
0
0
2
0
14
8
8
8
0
0
0
8
0
0
0
8
0
0
0
0
0
4
0
0
0
0
0
0
8
8
0
0
3
8
8
0
0
0
0
0
1
16
0
8
8
16
8
0
0
8
4
16
8
1
16
16
16
8
8
8
1
1
16
8
17
16
0
0
0
8
4
0
0
0
0
0
0
32
16
16
0
0
8
33
33
0
0
0
2
32
0
0
0
8
0
0
8
8
0
1
0
0
0
0
0
0
16
0
0
0
0
2
0
0
16
0
0
8
0
0
8
8
4
0
0
0
0
0
0
0
0
0
0
17
0
0
0
16
0
16
8
0
0
0
16
8
0
2
8
0
0
2
8
8
8
14
14
4
0
4
4
4
0
8
8
0
2
0
8
36
8
4
0
2
16
8
8
8
0
1
0
0
0
0
0
0
0
0
0
0
8
0
8
0
24
24
0
0
0
0
8
0
0
0
0
0
8
8
0
0
0
4
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
8
8
8
16
24
0
1
16
0
0
0
0
0
0
0
0
4
4
12
8
0
8
0
0
0
2
4
0
0
4
8
0
8
8
8
0
0
0
0
0
16
16
16
8
24
2
2
8
8
0
0
0
0
0
0
0
0
0
0
8
8
0
0
16
0
4
0
16
16
16
8
0
0
0
0
0
0
0
0
4
0
0
16
8
0
1
0
8
0
0
8
3
0
0
0
1
0
0
16
0
0
8
0
0
8
8
8
1
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
9
9
0
0
0
0
0
0
0
0
0
0
8
8
0
0
8
0
0
0
0
0
8
18
16
16
16
16
16
16
16
8
8
8
8
8
8
0
0
2
2
16
0
0
0
0
0
0
0
0
0
0
0
16
0
6
8
8
8
8
0
0
0
0
0
12
16
16
1
1
11
0
0
16
3
0
2
2
4
0
24
0
0
0
0
0
18
0
0
0
8
8
8
0
8
8
0
0
0
16
16
0
0
0
0
0
0
8
16
0
0
8
9
9
0
0
0
0
0
0
0
0
0
0
0
8
0
8
49
32
0
0
0
0
0
0
0
8
8
0
0
8
0
8
40
40
40
0
8
4
4
1
1
0
0
4
1
1
16
16
16
0
1
8
0
32
8
3
8
3
0
8
0
0
0
1
1
8
8
4
6
8
4
4
8
0
0
2
0
0
0
0
0
0
2
0
0
0
0
4
4
0
0
0
16
16
2
8
8
4
24
8
0
0
0
0
0
0
8
0
0
0
32
8
0
4
4
16
24
0
1
0
8
8
8
0
0
8
0
4
8
0
0
24
16
0
0
0
8
8
20
20
16
8
0
0
0
0
0
8
0
8
0
0
8
0
0
8
0
4
2
11
20
18
0
0
0
8
8
8
12
0
0
0
24
0
16
16
8
0
0
0
0
0
0
1
0
34
0
0
0
0
2
16
0
0
0
0
0
2
18
0
25
0
0
0
0
0
0
0
0
48
4
8
41
0
0
10
10
0
0
0
0
0
1
0
0
0
16
2
2
16
16
20
1
0
0
0
0
0
16
24
0
44
44
16
16
16
16
4
4
0
0
0
16
0
0
0
0
24
0
0
0
0
16
16
16
16
8
8
8
0
8
0
0
0
8
0
0
0
0
0
0
0
8
0
0
0
0
0
0
17
8
0
0
0
0
0
0
0
0
4
16
0
8
8
8
8
0
0
0
0
1
4
0
0
0
0
0
0
0
0
0
0
0
0
22
0
0
0
0
0
0
8
0
0
0
16
1
0
0
0
0
4
0
24
0
8
0
8
0
0
2
1
0
0
8
8
0
2
0
16
14
0
0
16
0
0
0
0
0
0
0
0
0
16
0
8
0
0
0
0
0
2
4
0
0
0
0
8
8
0
8
0
0
0
0
0
0
8
0
0
4
8
8
8
0
0
0
8
8
0
0
8
0
0
16
8
0
0
16
0
1
0
0
0
0
8
0
0
0
0
8
0
8
8
8
4
0
12
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
34
24
17
8
16
16
16
25
0
16
8
28
8
8
16
16
16
0
0
0
8
0
16
0
8
2
8
8
0
16
16
0
0
8
8
1
2
0
0
0
18
18
18
0
48
0
0
0
0
0
0
8
8
0
2
8
52
0
0
0
0
32
32
0
8
8
8
8
0
0
8
0
0
0
0
44
0
24
0
0
3
8
0
4
2
2
0
0
4
16
16
0
0
16
16
16
0
0
0
0
0
8
0
8
0
0
0
0
0
8
8
8
8
16
0
0
0
0
0
0
0
8
0
0
0
0
8
8
8
16
0
0
0
0
0
0
0
0
4
8
16
2
0
8
0
0
8
8
0
0
0
1
0
4
4
0
8
8
0
0
1
1
0
1
1
16
0
0
2
8
8
0
16
16
16
0
8
0
0
0
0
4
8
0
0
0
0
0
0
0
32
0
0
16
56
8
16
16
8
8
16
0
0
0
0
0
0
24
24
24
8
16
16
0
0
0
0
2
0
2
2
0
16
16
0
0
0
0
0
1
32
0
0
0
0
0
0
0
0
0
0
16
16
16
8
0
0
0
0
0
0
6
32
0
8
8
0
0
0
0
0
0
16
1
1
0
0
0
16
0
16
0
32
32
8
0
0
8
48
0
8
8
4
0
0
8
8
8
0
0
0
0
1
0
0
0
8
0
0
0
8
0
0
0
0
16
0
0
0
0
0
16
16
8
8
0
0
0
0
2
2
8
8
8
8
8
0
0
0
20
20
20
8
8
16
0
0
0
0
33
0
0
8
8
0
12
0
0
16
16
0
0
0
0
0
0
8
16
16
16
16
0
0
0
0
0
0
0
0
0
16
41
0
0
0
16
12
8
8
1
1
0
0
0
1
0
8
8
8
1
24
4
4
24
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
8
16
16
4
0
16
4
4
4
4
0
4
8
0
0
0
0
8
0
0
0
4
0
0
0
0
0
8
8
8
39
39
16
0
0
0
0
0
0
0
0
8
0
0
17
17
18
4
0
0
0
0
16
0
0
0
0
0
8
8
8
0
0
0
0
8
0
0
0
0
0
1
0
16
16
0
2
2
0
0
0
0
0
0
8
0
0
0
0
0
0
0
16
0
1
1
0
2
2
0
2
0
2
2
0
0
9
0
8
16
8
8
0
0
16
0
4
4
16
32
8
1
0
0
0
0
0
0
0
0
0
12
8
40
0
8
0
0
16
8
0
8
8
0
0
16
16
16
0
2
0
0
0
0
0
0
2
2
2
2
2
0
0
0
0
0
4
0
0
4
0
0
8
2
0
8
0
0
16
2
2
0
0
8
8
8
0
0
0
0
0
8
0
0
0
0
16
0
8
8
16
29
16
16
16
16
16
2
2
0
0
0
0
8
8
0
8
20
20
20
0
0
8
8
8
16
0
8
0
0
0
0
6
12
12
1
16
29
0
0
0
0
0
0
0
8
8
8
0
0
40
0
0
0
16
16
16
8
0
0
8
0
0
0
24
40
0
8
0
0
0
0
0
8
8
0
16
0
8
8
0
0
0
0
0
0
0
0
0
8
8
8
16
0
8
8
8
8
4
0
0
8
8
8
0
6
16
16
16
16
2
0
8
0
0
13
0
0
49
0
4
0
0
0
0
0
0
0
0
18
4
24
8
8
0
8
8
0
18
0
2
11
11
9
9
0
0
0
0
0
0
0
0
0
0
0
0
0
8
16
0
0
0
12
0
0
0
4
0
8
0
0
24
17
16
16
0
0
0
0
4
0
2
0
8
0
0
0
0
0
8
0
0
0
0
8
0
0
8
5
40
3
0
0
0
0
0
1
16
8
1
0
0
0
6
0
0
8
16
0
0
0
0
0
0
0
0
3
0
8
16
0
0
0
16
16
16
0
2
2
2
0
0
0
0
0
0
8
0
12
0
0
0
0
0
0
8
0
0
0
0
0
2
2
0
8
8
8
0
4
8
0
16
0
0
0
0
0
8
8
0
16
16
0
8
8
0
16
1
16
4
24
0
8
8
0
8
8
8
30
10
10
10
16
0
0
0
0
8
0
8
0
0
0
3
8
0
0
0
0
0
0
0
0
0
0
16
16
16
16
0
16
16
20
8
8
8
8
8
0
8
8
41
0
0
16
8
16
0
0
0
1
0
0
0
0
0
8
8
8
0
0
16
16
16
0
0
0
0
0
0
0
0
0
24
8
8
8
8
1
1
1
0
8
44
16
0
8
8
0
0
4
4
8
0
8
4
0
0
0
0
0
8
16
0
8
16
16
16
16
48
4
0
0
0
0
4
0
16
0
0
18
0
2
2
1
1
1
35
0
0
0
0
16
16
0
0
0
0
4
4
0
0
8
8
8
8
16
17
1
8
0
0
12
0
0
0
0
8
0
0
0
0
16
1
2
0
8
0
0
4
0
0
0
0
0
0
0
0
8
0
8
8
24
16
16
0
0
0
0
48
0
0
0
32
0
4
4
61
0
0
8
8
8
0
0
16
0
32
4
4
0
0
0
0
0
0
8
12
16
0
0
8
8
8
0
0
16
16
1
5
5
8
8
4
8
8
16
8
8
8
8
26
0
0
0
0
8
0
0
4
0
0
0
0
0
8
0
8
8
8
8
0
8
0
8
0
0
0
8
8
0
0
7
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
24
0
0
16
16
8
8
4
0
0
0
0
0
16
20
20
0
2
8
8
8
0
0
0
16
16
16
0
3
0
0
8
8
0
0
0
0
0
0
16
16
8
8
8
24
0
8
8
0
0
0
0
4
10
10
10
2
0
12
12
0
16
17
0
0
0
20
0
8
0
8
8
16
16
0
4
0
0
0
0
0
8
8
8
16
0
1
8
8
8
16
16
0
0
0
0
4
0
0
16
9
8
8
0
0
0
0
0
0
8
1
16
11
0
0
0
0
0
0
16
8
0
0
16
0
0
0
0
8
0
0
0
0
17
8
8
0
0
4
16
0
8
0
0
0
16
52
8
0
0
0
0
0
2
0
4
4
0
0
0
0
0
9
0
8
8
8
8
8
0
16
9
0
1
1
32
0
8
8
0
0
0
0
16
0
24
0
0
0
0
1
0
0
0
8
8
4
8
0
0
0
8
0
0
0
8
8
8
0
0
16
16
0
4
24
24
24
24
8
4
10
16
0
17
0
0
0
4
4
0
0
8
8
0
8
4
0
1
0
0
0
0
4
0
0
4
0
0
1
8
8
17
0
4
0
0
0
0
0
6
20
0
0
16
0
0
16
0
1
4
16
0
1
8
0
0
8
0
8
0
8
8
8
0
0
0
0
0
0
20
20
8
6
0
0
0
0
0
0
8
0
8
8
2
0
0
6
0
0
0
0
0
0
0
1
1
0
8
0
0
0
0
0
1
8
0
0
0
0
0
0
16
8
0
4
8
8
0
24
0
0
0
2
0
0
0
0
12
12
1
0
0
8
8
0
0
0
4
4
24
24
24
0
0
0
0
4
8
8
16
16
0
0
16
8
0
0
0
4
0
0
8
48
0
0
0
0
1
0
0
4
0
0
8
8
8
24
1
0
8
8
0
4
4
4
0
8
0
8
8
8
0
0
0
0
0
0
24
0
8
4
12
0
0
8
8
1
8
8
0
0
16
0
0
0
0
2
0
0
0
0
12
0
0
0
10
0
8
4
4
0
0
4
0
16
32
0
0
4
2
0
0
0
0
4
0
8
0
16
0
0
26
4
0
0
0
0
0
0
0
0
0
8
8
8
0
8
0
0
0
0
0
8
8
0
8
0
4
4
4
0
0
0
8
16
16
4
4
2
2
0
0
0
8
8
18
0
0
8
16
16
0
16
8
8
1
1
16
0
0
0
16
0
4
8
0
0
1
1
0
16
16
16
0
0
0
0
0
0
0
4
4
0
4
8
8
8
8
2
8
8
8
0
0
8
18
16
0
0
0
0
4
8
0
2
2
0
8
8
8
0
2
2
0
0
0
0
36
0
2
0
0
0
0
16
8
0
0
0
0
0
0
0
0
1
8
8
8
8
8
0
0
1
0
0
8
8
40
16
2
2
0
4
2
0
0
0
16
0
8
8
8
0
0
4
8
18
16
16
16
0
0
0
8
8
0
0
0
0
0
4
0
0
4
0
0
4
4
32
0
0
0
0
24
8
0
0
0
4
0
0
16
1
1
1
0
0
0
0
16
0
8
8
8
12
12
12
0
8
0
0
0
8
8
17
16
0
0
0
0
2
2
2
8
0
16
16
0
4
16
16
12
0
16
0
2
8
8
0
28
4
4
0
0
8
0
0
8
0
2
1
0
4
8
8
16
0
0
0
0
0
0
0
0
32
8
8
0
4
0
24
24
24
0
8
8
8
0
0
8
0
0
4
8
0
0
0
32
0
2
0
0
0
4
32
32
0
8
8
8
8
8
8
8
0
0
0
0
0
0
8
2
2
2
16
16
8
9
8
1
16
16
16
16
18
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
8
8
0
0
48
0
0
4
16
0
4
4
4
0
0
16
16
24
24
0
0
0
0
1
24
16
16
20
20
0
0
0
16
2
2
6
8
8
8
8
8
8
8
2
8
8
0
8
4
1
0
4
8
8
6
8
8
0
4
0
4
0
9
8
0
8
8
0
0
8
0
8
5
5
5
8
8
50
0
0
0
16
8
8
32
32
8
1
1
0
0
16
0
16
16
16
16
0
0
0
0
24
0
2
8
8
8
0
0
0
0
0
0
9
18
8
8
48
48
48
48
0
0
8
0
0
0
8
0
0
0
0
16
8
0
8
8
8
2
0
0
0
0
0
16
16
16
16
16
8
16
16
16
16
16
0
0
0
21
16
0
0
1
8
8
0
0
0
0
0
16
16
16
16
0
0
8
0
0
32
8
8
0
8
0
0
8
8
0
1
0
0
16
0
5
0
8
0
48
48
48
48
48
12
0
0
0
8
2
2
12
8
0
1
0
0
0
0
0
0
0
1
0
0
8
8
8
1
0
0
0
0
8
8
8
0
0
0
8
16
16
0
16
16
4
4
4
16
16
8
0
16
0
0
0
0
0
0
0
40
8
8
0
0
1
8
0
0
0
17
0
0
2
2
0
30
30
1
0
20
0
0
0
0
1
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
4
8
0
8
0
0
0
36
0
0
0
0
0
0
0
16
42
8
8
32
32
8
0
0
4
24
3
8
0
0
0
0
0
24
0
0
8
0
12
0
0
0
0
0
8
16
0
0
0
8
8
0
0
0
8
0
0
0
20
0
0
0
0
0
0
0
0
0
0
16
0
8
16
9
8
8
8
8
8
16
0
8
8
8
16
8
0
1
14
14
14
16
0
16
16
0
0
0
4
16
2
0
8
0
16
0
8
0
16
16
0
8
4
4
8
0
1
4
8
0
0
0
0
0
16
8
8
4
0
0
0
0
0
0
16
16
16
1
0
40
40
8
8
8
0
0
0
30
0
0
0
0
0
0
0
0
0
0
0
0
0
1
16
0
2
0
0
0
10
0
0
0
0
0
0
0
1
8
8
0
0
8
8
0
2
18
0
0
8
36
32
8
16
8
0
8
0
16
22
0
1
2
8
16
0
16
0
8
8
8
0
8
0
0
0
1
0
0
16
0
16
24
16
1
0
0
16
16
0
16
16
0
8
4
4
4
0
0
22
22
22
16
12
16
0
0
0
8
0
0
0
0
16
0
0
0
8
8
16
16
2
4
1
0
0
2
2
0
0
0
0
0
0
0
0
0
4
0
0
0
0
4
32
32
4
16
2
2
0
0
24
24
0
0
4
4
0
0
48
48
21
0
0
0
16
16
0
0
0
8
0
2
0
8
2
0
0
16
0
0
16
0
0
0
0
8
0
0
0
0
8
8
0
0
0
0
8
0
2
0
28
0
0
0
8
0
0
0
20
4
4
8
0
0
4
1
1
16
16
16
0
0
0
0
0
0
8
0
8
8
8
0
8
0
4
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
16
8
8
8
17
17
8
8
0
0
0
8
16
0
11
0
0
16
16
16
0
0
1
0
1
0
0
0
0
8
0
0
0
4
4
0
0
8
0
20
20
8
0
0
0
0
0
16
0
0
0
0
0
8
8
8
14
4
16
8
0
0
16
16
6
0
8
8
0
8
8
0
0
8
0
16
16
0
0
0
0
5
0
0
1
1
1
8
8
0
8
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
16
8
2
8
1
1
32
0
2
2
2
8
0
0
0
0
4
8
0
1
0
2
0
0
16
16
1
8
0
0
0
0
8
8
8
0
0
0
0
0
0
0
8
8
8
0
8
16
16
0
8
24
24
16
16
0
0
0
8
8
0
0
8
0
0
0
21
21
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
16
0
2
0
0
0
0
0
2
16
6
0
1
1
1
1
16
0
0
8
0
8
8
0
16
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
16
0
4
4
0
0
0
0
0
8
0
2
0
0
0
24
8
0
0
0
16
16
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
8
0
16
0
0
17
16
16
16
16
16
16
16
16
0
0
8
8
8
0
0
0
0
4
4
4
8
8
0
0
32
0
0
17
0
0
0
0
0
0
0
4
0
0
16
1
1
0
8
0
0
0
8
0
4
0
2
8
0
8
16
0
24
0
0
6
0
0
8
0
0
8
8
8
8
0
0
16
1
0
0
0
0
0
0
0
16
0
16
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
8
8
1
8
0
0
0
0
4
0
16
4
8
8
0
0
24
32
8
16
16
16
16
16
8
16
16
16
0
0
16
9
9
16
8
0
8
8
8
8
0
16
8
17
17
0
8
0
0
32
32
32
32
32
32
32
32
32
32
0
0
0
28
28
0
0
8
0
0
0
0
6
6
32
32
0
0
0
8
8
16
1
1
0
0
4
0
0
0
0
0
0
0
0
0
0
16
8
0
0
16
0
8
0
8
16
0
0
0
2
0
3
8
8
0
16
16
24
16
4
4
2
0
0
2
0
0
0
0
4
4
28
0
0
16
0
0
8
0
0
0
8
0
0
16
16
0
0
0
0
0
0
0
16
16
0
1
0
20
0
0
0
0
24
8
0
0
8
0
0
0
8
8
0
0
0
0
12
12
16
0
0
16
1
0
16
16
16
0
0
0
0
8
8
0
0
0
0
0
0
0
0
1
20
8
0
0
4
8
8
0
0
0
0
1
8
8
4
0
8
1
4
8
0
1
16
0
8
16
8
0
0
0
0
8
4
8
0
27
8
16
0
0
0
0
0
0
0
0
4
8
8
0
0
8
8
8
0
0
8
0
2
8
8
36
36
36
8
8
0
8
3
32
0
8
8
0
0
0
0
8
8
8
0
0
0
0
0
16
0
0
1
0
0
0
0
0
16
0
4
0
0
0
2
8
0
16
0
0
0
0
0
0
8
3
3
0
0
24
2
2
24
40
40
0
0
0
0
0
0
5
5
58
58
58
24
8
16
8
0
9
9
8
8
0
0
24
24
4
0
8
0
0
0
0
0
0
0
0
8
8
1
8
8
8
8
8
8
0
0
0
20
0
8
16
16
16
0
4
40
0
0
0
0
24
0
0
0
0
0
0
0
8
8
40
0
8
8
8
0
0
2
0
0
20
0
0
16
16
16
16
4
4
4
4
4
0
2
2
9
8
0
0
16
8
8
0
0
0
0
0
0
0
0
4
0
0
0
16
0
0
0
0
0
0
2
2
2
2
0
0
0
0
9
4
16
0
0
8
0
8
0
0
2
18
18
0
0
0
8
8
1
0
0
16
16
0
0
4
0
0
0
0
8
16
0
0
0
2
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
8
8
16
0
4
4
4
4
8
0
8
8
0
0
0
0
0
16
4
16
8
8
0
0
0
8
1
1
0
0
0
32
8
16
0
0
16
16
8
0
0
1
2
0
0
0
0
0
4
4
8
0
0
0
0
0
0
0
0
8
0
0
0
8
8
1
32
32
0
0
0
0
0
8
32
8
33
0
0
0
0
4
4
4
0
0
0
0
0
16
0
0
0
16
16
16
16
16
0
0
12
18
0
0
9
1
1
8
0
16
16
8
0
0
0
0
0
8
8
0
0
0
4
16
0
0
0
0
0
0
16
40
17
24
8
4
1
2
0
0
0
0
0
0
16
0
8
0
32
0
0
0
0
0
0
0
3
0
0
0
0
0
0
0
0
1
24
16
0
0
0
16
16
18
4
4
0
0
8
8
8
8
0
8
0
0
0
0
16
8
0
0
4
0
0
0
8
0
0
2
16
1
1
0
0
0
0
8
0
8
8
4
0
0
24
24
0
8
8
0
16
16
0
4
0
0
0
0
8
8
8
4
16
32
4
8
0
0
8
1
1
1
16
0
8
0
0
0
0
0
0
0
0
0
24
16
0
0
0
0
0
8
8
8
4
4
0
4
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
0
8
4
16
0
16
0
0
0
0
8
1
8
8
8
8
8
1
0
16
33
33
0
0
0
0
9
0
0
10
10
0
0
8
8
32
0
0
0
0
0
0
0
0
0
4
8
8
8
8
0
0
0
0
0
8
0
0
0
8
0
0
0
0
0
0
0
16
8
0
0
0
0
20
20
20
16
4
0
2
1
1
1
0
1
8
10
0
0
8
8
8
8
0
0
0
8
0
8
0
0
0
0
17
16
16
16
8
8
8
0
0
8
0
2
0
8
8
17
16
0
0
8
8
0
0
0
8
1
1
1
16
0
12
12
0
0
0
0
16
16
8
0
0
0
0
16
0
0
16
16
0
0
0
24
2
2
0
0
8
0
0
0
0
16
0
0
0
0
18
16
0
0
0
0
2
0
0
0
0
16
16
4
8
0
16
16
2
16
16
0
0
59
0
0
0
12
0
0
0
0
0
8
8
0
8
0
2
2
8
8
0
0
8
0
0
1
0
0
4
10
10
16
8
8
4
8
8
0
25
5
0
0
0
0
8
8
8
8
4
4
4
0
1
0
16
16
8
16
16
0
28
0
4
2
8
4
4
8
0
17
4
16
0
0
0
0
0
2
0
0
0
2
2
0
0
0
8
0
0
0
0
0
1
0
16
16
0
0
0
0
0
0
4
0
0
4
0
0
0
0
8
4
8
8
1
0
0
0
0
0
0
16
0
8
8
0
9
0
0
4
20
0
0
16
16
16
16
16
0
0
0
8
0
0
2
2
2
2
2
0
0
0
0
16
0
0
0
0
16
0
0
0
0
0
0
0
0
0
8
0
0
0
26
2
0
16
0
0
4
0
0
16
16
16
16
0
9
9
8
16
20
20
0
2
2
0
0
0
0
8
0
9
9
2
56
0
0
0
0
0
8
16
0
16
0
8
0
0
0
0
16
0
0
8
0
0
0
8
8
24
24
24
24
0
0
3
4
8
8
20
16
16
16
16
16
16
16
16
16
16
16
0
0
0
0
4
0
0
10
0
0
0
0
0
0
0
5
1
16
16
53
53
0
24
0
0
16
16
16
16
1
0
0
8
21
0
0
16
16
4
0
0
8
0
0
0
0
0
0
0
0
0
0
0
2
2
8
0
0
8
0
0
0
44
0
0
56
33
33
0
0
0
0
1
1
16
16
16
0
0
0
0
0
0
8
0
0
0
16
8
0
0
0
4
0
0
1
8
0
8
0
0
0
1
0
0
16
0
0
0
0
0
8
16
0
0
0
4
4
0
0
8
0
9
4
0
0
0
0
0
16
16
0
0
0
2
8
0
0
0
0
0
8
0
0
18
18
0
0
16
0
16
16
16
16
16
16
30
30
0
0
0
0
0
8
0
0
0
16
0
8
0
0
0
16
0
2
0
16
8
19
0
0
0
0
0
8
8
8
8
0
16
8
0
0
0
8
0
1
1
1
0
24
0
0
8
8
0
8
0
4
4
8
0
16
16
16
0
2
2
2
2
2
0
0
8
8
17
16
16
8
0
16
0
0
0
0
0
0
8
8
8
0
0
0
16
0
0
0
24
8
8
8
0
0
0
0
16
0
0
0
1
19
18
0
16
0
8
8
36
16
0
0
0
0
0
0
0
4
16
16
0
8
16
16
0
8
16
0
36
0
0
4
4
8
8
0
0
0
2
0
0
0
0
0
0
1
1
1
0
16
0
0
0
0
0
0
16
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
9
0
0
0
0
0
0
0
0
16
8
0
0
0
32
2
0
0
0
0
0
0
8
0
0
0
16
8
1
0
8
8
0
0
1
0
8
8
8
0
0
0
0
0
0
16
16
16
0
0
0
0
0
0
0
8
2
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
8
0
20
24
8
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
16
16
0
16
16
0
0
0
8
8
8
8
8
0
8
16
0
0
0
8
8
0
0
0
0
0
0
4
8
8
0
0
16
1
0
0
0
0
0
0
0
0
0
0
0
0
32
0
4
0
0
8
8
8
1
0
8
8
0
24
0
12
8
0
0
8
0
0
0
0
0
0
0
0
0
0
24
0
0
0
0
0
6
0
0
0
4
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
4
16
0
0
0
0
0
0
0
0
0
8
2
0
0
2
1
1
0
0
0
0
0
4
4
4
4
0
2
2
2
4
0
0
0
0
0
0
0
0
0
0
0
41
0
0
0
8
0
0
0
0
2
0
0
0
0
0
0
0
16
0
0
0
9
0
0
0
0
0
0
0
0
0
0
0
0
1
8
0
0
0
0
0
16
16
0
0
1
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
16
0
0
0
0
0
12
20
20
24
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
1
0
5
0
0
0
0
24
0
8
8
8
0
25
0
0
0
0
8
0
0
0
0
8
2
0
0
1
0
0
0
0
0
0
16
0
8
56
0
0
8
8
0
0
0
8
0
0
0
0
0
16
8
0
0
0
4
4
0
0
0
0
0
0
16
17
8
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
2
2
0
0
2
0
0
0
0
0
0
0
0
4
0
8
8
8
0
4
8
0
0
0
0
16
3
3
0
0
0
0
0
2
2
0
0
0
4
0
0
0
0
4
0
0
16
0
2
0
0
0
0
0
0
0
0
0
8
16
0
0
0
0
0
0
0
16
16
16
0
4
0
0
0
0
0
0
0
0
0
0
40
40
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
12
8
8
8
8
2
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
8
16
8
0
0
8
8
1
0
8
0
0
0
0
0
0
12
12
2
0
16
0
0
0
0
0
0
0
20
0
0
0
16
16
16
16
0
0
0
0
0
40
0
0
0
8
0
0
0
0
0
0
2
16
0
8
0
0
0
0
0
0
0
2
0
0
16
16
8
0
0
0
4
4
16
16
16
0
0
0
8
0
16
0
0
0
0
0
0
24
24
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
8
0
0
0
0
0
0
0
0
4
4
4
0
0
0
16
0
8
0
0
0
0
0
0
0
0
20
8
8
0
12
0
0
0
0
0
0
0
32
0
20
8
8
8
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
8
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
16
4
0
24
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
1
8
4
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
8
0
0
0
0
0
0
0
1
1
1
0
0
2
0
2
2
2
0
0
0
0
0
0
0
0
0
24
16
2
0
0
0
0
0
0
0
0
0
16
0
0
0
25
8
0
16
0
0
0
16
0
0
8
0
0
0
0
8
8
16
16
0
0
0
0
0
0
0
0
0
0
0
0
25
25
0
0
0
1
0
0
8
0
0
0
0
0
0
0
12
0
0
0
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
22
0
0
0
0
0
0
16
16
8
0
0
0
0
9
16
16
24
0
0
0
8
8
0
0
0
17
0
2
0
0
9
0
0
0
4
0
0
0
0
0
12
0
0
0
0
0
0
0
0
0
0
0
32
0
24
24
8
0
0
0
0
0
21
8
8
16
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
2
0
8
8
0
0
0
0
2
4
0
8
16
0
8
0
4
16
16
0
32
0
0
26
0
0
24
0
2
4
0
0
0
0
0
0
16
16
16
16
16
2
8
8
16
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
8
4
0
2
0
0
0
0
0
0
6
0
16
0
8
0
0
0
0
0
0
0
0
8
0
16
20
0
16
0
28
28
8
0
0
0
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
24
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
1
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
22
0
0
0
0
4
4
12
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
3
3
3
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
49
0
0
8
8
17
17
0
0
0
0
0
0
16
0
0
8
8
0
0
4
4
0
0
0
16
16
16
0
0
0
0
16
0
0
0
0
0
0
16
0
0
0
0
0
0
5
0
0
0
18
18
18
0
0
8
0
0
0
0
0
0
0
8
0
0
8
0
0
4
0
0
0
2
0
0
0
0
8
0
24
0
2
0
0
0
0
0
0
0
8
8
0
8
0
8
0
0
0
0
4
0
0
0
0
0
17
17
4
0
0
0
0
16
16
16
0
0
0
8
0
8
0
0
0
0
16
0
0
5
24
24
24
24
0
0
0
0
0
0
12
12
0
0
0
0
0
0
0
0
0
0
16
0
0
0
2
0
0
16
8
0
0
0
0
0
48
0
0
0
0
28
0
0
0
0
0
0
0
0
4
28
8
2
2
0
0
0
16
0
0
0
0
25
16
2
16
0
0
0
0
0
0
0
0
22
0
8
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
8
8
1
1
0
0
0
0
0
0
4
8
0
0
4
0
0
1
0
0
24
0
0
0
0
0
0
0
0
0
8
8
0
16
0
0
0
0
0
0
0
0
16
16
1
1
16
0
0
0
0
8
0
0
0
0
8
8
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
0
0
0
0
4
4
4
4
0
0
0
20
0
16
16
0
0
0
0
0
1
24
24
0
0
0
8
4
0
8
8
8
2
16
0
0
12
0
0
0
8
10
0
0
8
8
0
0
24
0
0
2
4
0
0
0
4
4
0
0
0
0
0
8
8
0
0
0
0
0
8
0
0
0
16
0
0
0
0
0
0
0
0
0
16
16
24
4
0
0
4
8
0
0
0
2
0
0
8
0
17
16
0
1
1
1
1
0
1
1
8
0
0
0
8
8
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
16
0
0
0
8
20
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
2
4
8
8
16
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
18
5
8
8
24
4
0
0
0
0
0
0
0
0
0
0
0
24
0
0
0
0
0
0
0
8
0
2
9
18
16
0
8
0
0
0
0
5
0
0
4
0
1
8
0
0
8
0
0
0
0
0
0
0
16
0
0
0
0
2
0
0
0
0
0
0
0
4
8
16
16
1
0
0
0
0
1
4
4
8
2
4
4
0
0
0
24
24
1
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
24
0
0
0
0
8
0
16
16
16
0
0
0
0
8
14
0
0
0
0
0
0
16
0
0
0
0
8
0
25
0
0
0
0
8
0
0
0
0
8
0
0
0
0
0
0
0
10
10
40
0
16
0
0
0
0
0
0
8
0
2
2
0
8
0
0
1
1
0
0
0
8
4
0
4
8
8
0
0
16
0
0
0
0
0
0
0
0
0
16
16
16
0
0
0
0
0
8
0
0
0
0
0
0
16
2
16
16
0
8
0
0
0
24
0
0
1
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
2
32
0
0
0
0
0
0
0
0
0
0
0
2
0
2
8
8
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
32
16
1
0
0
0
0
0
0
0
0
0
0
0
0
11
0
0
0
0
16
16
0
16
0
20
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
8
0
0
24
0
0
0
0
8
1
0
0
0
0
0
4
4
0
3
3
16
16
0
0
0
0
0
0
0
16
4
4
8
0
0
0
0
8
0
0
0
0
4
0
0
0
0
0
0
0
0
0
4
24
24
0
0
0
0
0
0
0
0
0
0
0
20
20
20
20
0
0
0
16
16
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
24
24
4
4
0
0
0
0
0
0
0
0
0
0
16
8
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
24
0
0
0
0
0
0
0
12
0
0
0
0
0
8
16
1
8
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
2
0
0
0
0
0
16
16
0
8
0
0
0
0
0
0
0
0
0
0
12
8
0
0
16
0
0
0
0
0
0
0
0
0
0
16
2
0
0
12
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
8
8
16
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
24
0
0
0
0
0
0
4
0
0
7
7
16
0
0
0
16
4
0
0
0
32
0
4
0
0
0
4
8
8
0
8
0
8
8
8
0
0
0
0
0
8
8
8
0
6
8
16
16
4
2
2
2
8
8
8
61
0
0
0
0
0
0
0
0
0
0
0
0
32
8
8
8
0
0
4
0
8
0
1
16
0
0
0
0
8
8
24
24
0
1
0
0
0
0
0
16
2
0
0
16
28
0
1
1
1
0
2
2
16
8
8
8
0
0
0
10
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
16
0
20
20
4
0
0
0
0
8
48
48
0
16
16
16
32
0
0
0
0
0
0
16
0
8
1
1
2
0
0
16
0
16
0
16
0
0
8
8
0
0
0
0
2
16
8
8
0
0
2
2
2
8
1
1
4
4
0
8
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
8
32
48
0
0
0
8
0
0
0
0
0
12
12
12
13
2
9
8
32
0
0
0
0
0
8
4
4
0
16
16
8
8
0
2
0
41
41
8
4
0
0
0
0
8
8
8
0
0
0
0
0
16
16
0
0
0
0
0
0
8
8
0
8
0
0
4
16
0
8
0
0
0
16
16
0
32
16
5
0
0
0
11
6
6
0
8
16
16
0
40
8
8
8
8
8
0
0
0
8
8
8
2
8
0
2
0
0
0
0
0
4
0
0
0
0
0
0
0
12
0
0
8
0
0
0
32
0
8
0
0
0
1
0
1
8
8
8
8
3
4
4
4
2
2
2
2
8
0
8
8
0
0
0
16
16
16
0
0
0
0
0
16
16
1
2
28
28
28
0
8
0
8
17
17
0
0
0
0
0
0
16
16
24
8
8
16
4
4
0
16
6
8
8
8
8
8
8
8
8
8
8
8
0
16
8
4
4
8
8
8
8
8
8
8
0
16
0
8
0
4
20
8
33
33
0
16
16
16
0
0
8
8
16
0
0
0
0
19
1
1
0
9
8
0
0
48
0
2
20
4
4
8
16
8
8
0
0
2
16
8
1
1
8
0
8
20
0
0
0
0
0
4
4
16
16
41
0
24
24
8
1
0
1
4
8
8
8
0
0
0
0
0
0
56
0
8
8
8
8
8
16
0
0
0
0
1
0
0
0
8
0
0
8
0
0
0
0
0
16
16
0
8
8
0
0
0
0
4
16
4
0
24
24
24
24
16
4
60
60
16
0
6
16
0
0
8
8
0
0
4
4
0
0
0
8
8
17
17
17
0
0
0
0
8
8
8
16
4
10
10
20
0
0
16
8
8
1
6
2
2
0
0
0
0
0
1
0
32
0
0
8
0
2
0
32
32
32
0
0
8
0
0
0
0
0
0
0
0
0
0
16
16
16
4
2
2
0
0
0
0
2
2
10
16
0
0
0
8
0
0
8
8
0
0
0
0
0
0
0
33
0
8
8
0
8
0
0
0
0
0
16
0
0
8
8
8
0
2
8
16
0
16
17
0
8
16
2
2
2
2
2
16
16
16
16
32
0
0
0
16
16
0
0
0
27
16
8
0
0
23
23
23
23
1
1
1
1
1
1
1
0
0
0
16
16
0
0
16
0
0
8
0
0
8
0
0
0
0
0
4
0
8
8
8
2
2
8
16
0
2
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
2
2
16
24
0
0
0
0
0
0
0
8
1
8
0
4
16
0
0
0
20
20
16
4
16
0
8
0
0
4
4
4
0
0
0
0
16
4
16
16
0
4
0
0
24
0
0
8
4
0
16
16
24
1
0
16
0
0
0
0
8
8
0
0
0
0
8
8
8
8
0
0
8
8
5
5
5
24
0
1
0
8
8
28
8
16
8
8
8
0
8
0
16
0
16
16
16
16
8
0
0
0
0
0
0
0
0
16
0
0
0
1
1
0
0
0
0
8
0
48
0
0
0
12
0
0
0
0
0
1
0
8
16
16
16
0
0
32
0
0
0
8
8
8
8
16
0
0
25
8
0
8
8
8
16
0
0
0
0
9
9
9
9
2
2
0
0
16
1
1
0
0
0
0
8
0
0
16
4
0
0
8
8
0
16
0
10
16
0
8
0
0
0
0
8
0
0
24
0
16
16
0
0
0
16
8
8
0
16
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
16
4
2
2
0
0
0
0
2
2
10
0
0
0
25
0
0
2
8
8
0
0
24
8
16
0
16
2
2
0
0
0
0
2
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
8
0
8
8
0
0
8
16
0
0
16
16
16
1
12
12
40
8
0
0
0
0
16
24
24
0
0
0
0
0
0
16
2
0
0
0
0
0
4
2
2
8
4
0
0
0
0
0
2
0
0
0
0
0
22
16
8
8
8
0
0
4
4
0
0
32
32
52
0
0
0
0
0
0
0
0
0
0
0
24
16
0
16
16
0
2
24
0
8
8
16
16
8
0
8
0
0
0
0
0
2
2
2
28
0
0
0
40
16
2
2
2
1
1
8
10
1
16
16
16
16
4
8
18
18
0
8
16
0
0
0
0
32
0
0
8
0
8
8
8
8
0
0
32
34
32
0
4
4
4
4
2
52
0
0
8
8
4
26
0
0
2
8
0
4
16
0
0
8
0
0
20
0
8
8
8
4
0
0
0
0
0
1
1
1
0
0
0
0
0
16
0
0
0
1
1
1
1
0
0
0
8
1
0
8
17
2
0
8
8
0
0
0
16
0
0
8
8
0
0
0
0
16
16
16
0
8
0
0
0
0
16
0
0
16
16
16
0
0
0
0
0
0
8
0
0
0
0
0
20
20
0
8
1
40
40
40
6
6
4
4
0
12
8
8
8
8
8
16
4
8
0
8
0
8
0
4
4
4
8
4
8
24
16
16
1
1
0
0
0
8
8
0
0
0
0
8
8
8
8
0
19
8
16
0
4
4
0
8
4
16
4
4
0
0
4
4
0
0
0
0
8
8
0
16
4
0
0
0
0
2
2
0
0
0
16
0
8
0
0
0
0
0
0
8
0
8
0
0
8
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
4
4
0
32
8
8
16
8
8
0
0
0
0
16
16
16
16
16
16
16
16
16
16
16
16
16
0
0
0
8
8
8
8
8
54
54
0
4
16
0
0
8
8
0
0
8
8
0
5
5
18
18
8
14
0
0
0
8
16
0
0
8
0
8
2
2
0
0
40
8
0
8
18
0
32
32
0
0
8
8
0
16
16
0
0
16
20
28
28
28
28
0
0
8
24
24
2
8
8
8
0
0
0
0
2
8
0
25
0
2
0
0
0
0
3
0
16
0
0
0
0
16
0
0
0
40
1
1
16
0
8
0
0
0
8
8
0
0
4
0
40
8
8
8
8
0
0
0
0
0
0
0
16
0
0
16
4
4
0
0
0
0
0
0
0
0
0
16
16
16
0
8
8
0
0
4
8
0
0
0
0
8
0
0
8
8
8
8
0
16
16
0
16
1
0
0
0
2
0
0
0
12
48
48
48
0
16
0
8
2
2
4
0
8
0
2
16
0
5
0
8
0
10
8
0
8
8
0
0
24
8
1
1
25
0
0
0
0
8
16
0
4
4
0
0
0
0
16
16
41
41
12
12
17
4
4
22
22
2
32
0
0
0
16
4
0
8
8
0
0
0
0
24
2
2
2
0
1
32
32
32
32
0
0
16
0
8
0
0
8
8
8
8
0
0
0
0
16
4
0
20
28
24
24
0
0
12
12
8
8
0
0
1
0
48
32
0
8
0
0
0
0
16
8
0
0
16
16
0
0
0
0
0
20
8
0
0
0
0
0
0
16
16
16
16
16
16
16
16
8
0
0
16
2
24
1
0
0
32
0
0
8
0
0
0
0
10
0
0
0
16
0
0
18
1
24
24
4
0
0
16
16
16
0
20
20
16
1
16
0
1
8
8
0
16
16
1
1
0
0
0
16
16
16
16
0
0
0
0
0
0
0
0
12
0
0
8
0
0
0
0
8
8
2
0
0
0
0
2
2
2
18
18
32
32
2
2
16
16
8
16
8
4
4
1
0
0
0
0
0
0
0
8
1
0
8
0
0
8
8
8
0
0
16
8
0
32
28
2
0
0
0
0
0
0
0
0
0
0
16
16
0
0
16
0
0
0
0
16
16
8
0
0
8
8
8
0
0
0
17
0
8
9
2
0
8
0
0
0
8
8
0
0
0
0
0
1
1
32
32
0
0
33
0
0
0
4
4
25
16
1
0
8
0
0
16
16
8
8
32
5
8
8
0
0
16
16
16
16
16
16
16
16
8
0
0
0
0
0
4
4
4
8
8
8
12
0
16
16
16
0
8
16
16
16
16
8
4
4
0
0
0
16
0
0
0
16
9
9
0
0
0
0
8
8
8
8
0
16
32
8
8
2
8
16
16
24
8
8
0
8
16
0
0
0
16
0
8
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
2
0
8
8
0
0
24
0
21
21
0
0
0
0
16
16
16
16
16
0
0
8
8
8
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
8
8
0
8
16
0
0
8
8
48
0
0
20
2
0
16
16
4
0
0
0
8
8
8
8
0
16
16
16
16
16
0
0
1
1
0
0
0
0
8
18
18
0
0
1
0
0
16
24
24
24
20
0
0
4
8
8
8
4
0
0
8
0
1
16
24
8
8
16
4
0
0
0
8
8
16
16
8
8
8
0
2
2
40
16
16
4
4
4
0
0
0
8
16
1
8
0
0
0
8
2
9
9
9
10
8
16
0
0
8
16
4
4
8
8
16
16
0
0
12
0
0
0
0
0
0
8
0
0
0
0
0
0
0
2
2
0
0
0
0
0
0
0
0
0
8
8
19
0
0
16
0
0
0
4
10
0
0
16
28
25
25
25
0
0
0
0
16
16
16
8
8
8
0
16
2
0
0
0
8
16
0
0
0
16
16
8
8
8
32
32
4
4
0
2
1
1
1
1
1
1
1
5
0
0
1
0
16
16
16
0
0
0
16
16
8
8
8
8
0
0
0
0
0
0
8
0
0
0
16
0
0
0
1
1
24
14
8
0
0
0
8
0
1
0
6
8
8
0
0
0
0
0
0
0
0
8
16
0
16
16
0
0
0
0
0
0
0
0
8
13
13
13
0
28
28
8
0
0
0
0
2
8
50
50
4
4
0
0
4
0
8
8
8
0
0
8
0
16
0
0
0
4
16
8
1
8
28
8
8
8
8
0
8
18
0
4
4
24
0
0
0
8
0
8
8
8
8
8
0
20
1
1
8
0
0
0
0
0
0
0
0
0
0
16
17
0
32
32
32
8
4
16
0
0
1
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
2
8
8
0
0
16
16
0
0
0
0
0
16
8
8
1
1
0
16
0
8
8
8
16
0
0
4
0
0
8
8
0
16
8
8
8
0
4
8
0
0
0
0
0
8
8
0
0
0
0
0
0
2
2
0
0
0
0
0
4
0
0
8
8
8
1
0
16
0
0
8
0
16
56
16
0
16
8
32
32
32
32
32
16
8
0
0
8
0
0
0
0
0
0
36
8
8
4
0
0
0
8
12
0
0
0
24
24
24
8
16
0
8
8
17
17
16
8
0
8
8
0
0
25
0
0
0
0
10
0
0
0
8
1
1
16
2
16
0
0
16
8
0
0
8
0
0
0
0
16
16
8
0
0
0
0
0
4
16
0
0
0
8
8
8
4
4
9
0
16
16
0
16
0
24
0
8
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
8
8
35
0
0
0
1
0
8
2
0
0
32
8
8
8
8
0
8
4
8
8
16
6
12
12
0
8
8
16
1
32
32
16
16
16
32
0
16
8
8
0
0
0
2
32
16
0
8
8
0
0
16
8
0
0
0
16
24
8
16
2
0
0
0
8
8
8
0
0
0
4
4
0
0
0
0
0
0
0
16
0
0
0
0
0
12
0
0
0
0
8
0
4
4
4
5
2
0
16
16
4
4
4
32
0
0
0
16
0
16
0
0
2
4
0
0
0
0
0
0
0
16
0
16
3
0
0
0
0
16
16
20
20
20
20
20
20
4
1
1
0
8
8
8
8
0
0
16
0
0
8
0
24
0
0
0
0
0
32
0
0
16
16
0
0
8
8
8
1
16
16
2
8
0
0
0
0
8
8
8
0
0
8
0
1
8
1
0
1
1
24
16
8
8
0
0
0
6
0
18
3
3
3
0
0
0
8
8
0
0
8
0
0
4
0
0
0
0
0
0
4
16
16
16
16
16
0
8
2
0
0
0
16
0
22
0
0
24
8
8
8
8
0
16
16
0
0
0
2
8
0
0
0
16
0
0
8
0
0
0
0
0
0
8
2
16
2
0
0
0
8
0
4
4
4
0
0
0
8
0
0
3
4
4
0
16
0
16
8
4
24
0
0
0
1
0
2
2
8
48
4
0
0
0
0
0
8
1
0
0
0
0
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
24
8
0
0
0
4
4
16
8
24
0
0
0
0
16
8
16
16
0
0
0
16
0
0
0
0
0
2
0
0
0
0
4
0
0
0
0
0
0
48
8
10
0
0
2
0
0
0
0
0
0
0
0
0
10
0
0
0
0
0
8
0
16
16
16
8
0
0
0
8
16
0
0
0
0
0
0
0
0
18
0
0
4
0
0
0
16
16
16
8
0
0
2
16
16
0
0
0
0
0
0
16
16
0
0
24
4
36
8
8
8
16
0
0
0
4
0
12
8
0
4
4
16
0
0
0
4
0
0
0
8
0
0
16
1
1
0
16
16
0
0
0
0
8
8
0
16
10
0
16
16
16
56
56
0
0
0
0
0
0
0
0
8
8
8
8
8
32
0
0
0
0
0
0
0
16
0
0
4
0
0
0
1
10
0
4
0
0
0
8
8
8
0
0
2
16
1
1
2
2
12
0
1
1
1
0
0
0
0
0
2
8
0
1
1
0
0
0
0
8
0
0
8
8
1
5
8
16
8
16
2
0
0
8
8
0
8
0
16
16
32
8
0
8
8
8
0
0
0
24
8
8
0
29
0
0
0
8
16
24
4
0
0
8
0
0
0
0
0
0
0
8
8
8
0
0
4
0
0
0
0
0
8
8
8
0
0
8
16
16
48
8
0
0
16
0
0
0
0
16
0
0
0
0
0
0
16
8
16
10
8
1
0
0
0
0
0
28
8
8
14
0
1
0
0
8
2
8
0
0
4
8
0
0
0
0
8
0
0
0
0
2
9
9
9
16
4
4
8
8
24
0
0
0
25
8
0
2
16
6
24
8
8
0
4
4
4
8
1
24
16
8
0
0
16
16
0
0
12
9
9
9
2
2
2
0
0
16
16
4
0
4
8
0
0
0
0
0
2
2
0
0
8
16
16
16
4
0
0
8
8
16
32
32
16
0
0
0
63
4
0
0
0
0
0
8
1
0
0
26
26
26
16
16
0
16
24
16
24
24
0
0
8
8
8
16
0
0
9
9
9
12
0
0
16
1
0
0
0
0
0
16
16
0
0
0
12
24
0
0
8
0
0
8
8
0
0
32
32
32
32
1
16
16
24
24
24
1
1
1
0
0
32
32
32
8
0
2
16
0
0
0
0
8
16
0
0
0
0
0
0
0
4
0
0
25
16
16
16
0
8
4
0
0
16
16
0
0
0
0
16
16
4
0
24
0
0
16
16
0
16
16
0
0
0
20
0
16
8
29
0
2
8
0
0
0
1
8
16
0
0
16
16
0
2
2
2
2
2
8
8
0
0
0
0
0
0
4
4
4
4
0
0
0
0
0
4
8
32
0
16
2
0
8
16
0
2
2
2
8
0
0
16
16
16
34
0
0
0
0
8
0
0
0
0
0
0
0
0
16
2
0
16
0
16
0
0
22
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
16
1
1
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
8
3
16
16
0
16
20
4
18
10
10
10
8
8
0
0
4
0
8
8
8
8
0
0
0
8
2
2
1
16
16
16
2
8
0
0
8
16
8
0
0
0
0
4
24
8
9
0
0
0
0
0
8
8
0
8
0
0
0
1
1
0
8
8
8
16
0
0
0
0
8
8
8
8
8
0
8
16
16
16
16
0
0
0
24
0
0
0
8
56
8
8
0
0
0
0
8
0
0
0
0
16
2
1
1
4
0
4
0
0
0
0
0
0
0
16
0
8
0
0
0
0
0
5
0
0
0
0
0
8
8
8
0
0
8
8
0
16
32
32
36
8
0
0
24
24
0
0
0
0
16
0
8
8
0
16
16
16
16
0
16
16
0
8
0
0
32
0
48
4
8
0
0
0
16
16
8
0
0
0
0
0
0
8
2
0
0
4
8
8
8
8
8
8
0
8
8
0
1
0
0
16
8
0
0
32
0
16
0
8
1
1
4
52
52
12
12
4
4
1
20
0
0
2
8
0
0
1
0
0
4
0
8
0
8
0
0
0
0
0
0
4
1
0
16
0
0
20
0
0
0
8
4
8
20
8
0
4
0
12
0
0
4
5
5
5
0
2
2
4
1
8
8
16
0
0
20
24
16
0
0
0
8
0
0
0
1
0
4
0
0
0
8
8
2
2
2
2
8
8
8
8
8
8
8
8
8
0
17
0
0
0
16
16
8
8
8
8
8
8
0
0
0
16
1
0
0
16
16
8
8
1
4
4
8
0
33
33
20
20
0
4
4
0
16
3
3
3
3
2
2
2
2
2
8
8
8
8
0
8
0
0
0
0
8
8
8
8
8
4
0
16
0
33
33
8
16
8
0
4
24
0
0
0
2
2
0
34
0
0
0
16
0
16
16
16
16
0
16
8
8
16
0
6
32
0
0
0
0
0
0
0
0
8
8
4
16
4
0
0
24
24
16
16
16
4
4
0
0
0
0
0
0
0
0
8
25
0
0
0
0
8
16
16
8
0
0
0
16
8
8
32
0
0
0
0
0
0
8
16
16
0
0
0
8
0
0
0
0
16
16
4
0
0
0
0
0
0
0
0
0
16
0
0
0
8
0
0
0
0
4
8
8
8
8
0
0
8
8
8
26
26
0
17
24
24
0
0
0
16
0
0
0
0
0
0
0
2
8
0
8
8
1
1
0
0
8
8
8
0
8
8
0
8
8
8
16
4
0
4
48
48
48
48
48
48
8
16
0
0
0
34
16
0
0
0
4
1
1
1
0
0
3
3
0
0
0
0
0
0
45
4
0
8
1
0
0
1
36
0
0
0
8
0
0
0
10
2
1
1
1
0
0
0
16
16
0
0
8
0
0
0
1
0
8
5
0
0
0
0
0
0
0
8
8
1
16
16
16
0
0
8
8
8
8
1
20
20
0
1
1
0
20
4
9
9
8
1
1
1
1
1
0
0
16
0
4
0
16
16
16
16
16
2
8
0
0
0
0
16
0
0
0
0
0
0
8
8
0
0
32
0
4
0
0
8
0
0
8
1
0
8
0
1
0
0
0
0
0
24
0
4
0
0
12
8
0
0
4
16
16
0
0
0
0
0
16
0
0
0
0
56
8
0
0
8
0
0
0
0
15
0
0
16
16
2
21
8
8
8
0
0
0
0
4
0
0
0
0
16
8
10
0
0
16
16
0
0
0
0
4
0
0
16
0
0
0
0
0
0
0
0
0
0
4
17
1
0
8
8
16
1
0
0
0
8
8
8
8
2
2
2
2
8
8
0
0
0
0
0
0
2
8
3
8
0
8
8
8
8
4
0
20
20
8
0
16
2
0
0
0
0
0
0
8
16
16
16
16
8
8
0
48
48
0
16
16
28
28
28
0
16
16
17
17
8
8
40
0
0
0
0
0
16
16
16
16
16
16
4
4
0
0
24
0
0
0
0
28
28
0
0
0
16
16
0
24
0
16
0
0
0
18
16
16
8
8
24
0
2
2
2
2
8
0
16
0
0
0
8
0
0
2
2
18
0
0
0
0
8
16
4
4
0
16
2
16
0
0
0
0
0
0
0
0
32
0
0
8
1
0
8
8
0
8
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
40
8
0
0
0
5
5
5
5
8
0
4
0
3
28
0
0
0
0
0
0
0
0
0
0
0
4
0
0
8
14
0
8
8
0
0
0
0
8
0
0
8
0
8
8
0
0
1
0
16
0
1
0
16
0
0
0
0
4
0
0
0
40
4
0
8
0
16
0
0
8
16
2
2
16
0
0
0
0
0
0
0
32
0
0
0
18
0
8
8
8
0
0
8
0
0
8
8
0
0
0
0
0
0
0
0
52
8
8
8
8
0
4
8
8
8
24
24
24
24
32
0
4
4
0
0
0
16
16
0
32
13
1
0
0
0
16
0
0
32
0
0
8
16
16
0
8
8
0
0
4
20
8
20
0
0
8
4
0
0
8
8
8
8
0
4
4
2
60
0
2
2
0
0
11
0
8
8
8
8
8
4
0
0
0
0
0
0
32
32
1
0
0
0
4
1
1
0
0
4
4
0
0
0
0
0
0
8
4
2
0
8
8
16
8
0
2
2
32
0
8
0
16
0
8
0
8
4
6
0
0
8
8
8
0
0
0
0
0
0
0
16
8
8
16
0
0
0
0
0
0
8
8
0
0
0
0
4
4
24
4
4
4
16
0
0
0
1
1
0
56
8
16
0
0
0
0
2
0
0
0
2
0
16
16
16
0
0
0
8
32
0
0
8
16
2
16
8
24
1
8
8
16
0
32
0
8
8
8
8
0
0
0
16
2
0
8
8
8
8
8
0
0
0
1
2
0
32
0
0
0
16
8
8
8
8
8
8
2
2
2
0
16
2
16
0
0
24
0
16
16
8
0
0
0
0
8
8
8
8
16
8
4
4
16
0
0
0
0
8
17
0
0
0
0
0
16
8
0
16
2
2
0
0
0
0
0
0
8
0
0
0
1
0
16
0
0
16
2
2
2
24
0
0
0
40
0
0
0
0
9
9
0
0
0
1
1
4
8
8
16
8
0
32
4
36
36
0
0
0
1
0
0
0
0
0
30
30
0
0
8
8
16
16
8
8
8
0
4
4
4
0
8
8
40
16
0
0
16
0
0
0
0
1
0
0
0
0
0
1
1
1
1
1
1
1
18
0
0
0
0
0
0
4
0
0
0
1
0
0
0
0
0
1
4
8
8
4
4
4
0
0
0
0
0
16
0
0
0
8
8
28
28
8
0
2
2
16
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
8
16
8
8
8
8
8
4
0
0
0
0
0
4
4
0
0
2
2
2
2
2
2
2
2
0
16
16
16
16
16
0
16
0
0
0
16
16
16
0
0
0
0
16
16
0
0
16
16
6
6
16
0
8
1
1
17
17
16
0
1
8
8
8
8
8
8
0
0
0
0
0
16
16
32
8
0
0
25
25
8
8
8
8
8
12
0
2
0
16
16
0
8
0
4
0
0
4
4
0
0
16
0
0
0
16
24
2
8
8
8
8
0
16
0
0
0
0
8
1
13
13
8
1
8
16
0
0
0
0
0
0
8
2
0
0
0
0
20
0
0
0
8
0
0
0
0
0
0
0
2
0
8
0
0
16
8
8
0
0
16
0
0
1
1
0
32
32
32
32
32
32
16
0
0
4
0
24
1
16
16
16
0
0
8
8
8
0
0
20
0
16
16
0
0
0
0
16
16
0
0
24
0
0
0
8
0
0
0
0
4
4
16
16
24
0
0
0
0
0
0
4
0
0
0
0
0
0
12
0
0
0
16
0
8
8
0
0
16
48
16
0
0
0
0
0
0
0
8
1
8
0
0
8
17
17
0
32
0
1
1
0
0
8
8
8
8
8
8
9
9
8
0
0
0
0
0
2
0
0
16
16
16
16
16
0
0
0
8
0
0
0
0
16
8
0
0
8
8
8
0
0
0
0
8
8
0
8
0
0
1
4
0
0
0
0
0
0
16
4
8
0
16
0
0
0
16
16
16
1
17
0
0
0
0
0
0
0
0
4
0
0
0
0
1
16
16
16
16
0
18
0
16
0
0
16
3
3
8
0
12
12
0
0
1
1
0
0
0
0
0
0
8
24
1
2
4
4
0
0
0
16
0
0
0
0
1
52
0
8
2
0
0
16
8
20
4
16
0
8
48
0
8
8
8
8
8
2
1
1
0
0
0
0
0
8
0
0
18
18
0
6
8
0
0
0
0
4
0
2
2
8
0
16
16
0
0
8
8
16
1
8
8
0
0
0
24
24
1
1
1
8
8
0
0
0
56
0
2
8
8
4
4
4
4
16
16
8
0
0
0
0
2
0
0
0
0
0
16
8
8
0
0
0
0
0
8
0
0
0
0
0
0
0
18
0
16
16
16
16
8
0
16
0
16
0
0
0
0
0
4
4
4
4
4
4
0
4
0
0
0
0
1
8
1
1
1
1
4
4
4
0
0
0
0
0
0
0
4
0
0
0
0
16
0
0
8
16
0
0
0
0
0
2
2
1
0
8
8
0
0
0
16
0
8
8
0
0
0
0
0
0
0
5
0
16
16
0
8
0
0
1
0
0
0
0
12
4
0
16
0
20
20
4
0
0
0
0
0
0
8
0
0
0
0
0
8
0
0
8
16
0
0
20
0
0
0
0
16
16
0
8
0
0
8
16
4
0
0
0
16
16
0
0
0
0
0
16
0
11
0
0
16
16
16
4
4
4
16
4
0
0
4
4
0
0
0
0
0
0
0
0
0
0
1
1
1
0
2
0
0
4
4
8
8
8
8
0
0
8
16
16
0
0
0
2
0
0
0
20
16
16
0
0
0
0
0
0
32
8
0
0
0
0
0
0
0
16
0
0
0
0
0
1
1
0
0
33
33
0
16
16
8
8
1
1
1
0
16
16
16
0
16
16
0
0
9
0
0
0
0
0
0
0
0
0
0
8
1
16
0
0
0
0
0
1
1
0
0
0
0
16
0
0
8
0
0
0
0
8
48
0
8
8
17
17
24
4
12
12
4
4
4
8
2
32
5
0
32
1
1
12
16
0
0
0
0
0
0
4
8
0
1
1
0
8
8
8
0
8
8
0
24
24
4
4
0
0
8
8
16
0
0
0
8
0
24
14
14
14
8
8
8
0
8
8
8
10
0
0
8
0
0
0
24
56
0
1
1
1
8
8
8
4
4
24
0
16
16
16
8
0
0
0
0
8
8
8
8
8
8
10
0
0
0
0
0
0
0
8
4
4
4
16
4
0
8
4
0
0
0
0
0
0
16
0
0
0
0
0
0
8
0
8
8
8
8
2
0
0
1
0
16
0
0
8
4
8
0
0
16
1
16
16
16
2
1
0
8
8
8
0
0
0
0
1
0
16
16
16
16
0
0
0
16
16
8
0
8
16
16
4
8
8
0
0
10
2
0
0
0
0
0
8
8
16
0
0
24
4
0
0
0
40
40
0
0
0
0
0
8
8
0
0
0
36
36
0
0
4
0
8
1
16
16
16
0
0
0
2
0
0
0
24
2
0
4
0
0
0
28
28
4
5
2
0
0
0
0
4
0
2
4
0
56
8
8
16
16
4
4
4
8
8
8
0
0
0
2
0
0
0
0
16
0
0
0
2
2
4
4
2
0
0
0
0
16
0
16
0
0
34
0
0
9
9
9
8
2
9
16
8
8
0
0
0
0
0
0
0
8
12
12
4
4
17
16
8
8
0
24
16
0
0
0
18
0
0
0
16
0
8
0
1
1
1
1
8
8
8
0
0
8
8
8
8
8
8
8
16
0
0
0
0
0
0
4
2
2
0
0
0
0
0
0
0
18
16
16
0
0
0
1
1
1
8
8
0
0
0
0
0
0
16
8
8
0
0
2
0
0
1
0
0
0
0
0
0
0
4
4
4
4
4
4
4
0
0
0
0
0
0
0
0
20
20
0
0
0
0
0
0
0
4
0
0
0
16
0
8
26
0
0
0
16
8
0
16
16
16
8
0
0
20
16
0
0
24
24
24
24
9
8
0
2
2
0
0
0
0
4
4
4
8
0
8
8
8
16
16
1
1
0
0
8
29
8
8
20
8
8
0
32
8
0
0
0
0
0
8
8
20
20
0
8
16
16
0
8
8
1
1
1
2
0
2
2
8
18
18
16
0
8
8
1
0
24
4
0
0
0
16
16
8
16
16
16
16
0
2
2
0
0
4
4
4
4
4
8
0
0
2
0
0
12
0
0
0
0
14
0
0
8
8
4
0
0
0
16
0
16
16
0
0
0
0
0
0
24
16
0
0
0
0
8
16
16
1
8
16
16
0
0
0
0
0
0
0
0
27
2
19
8
32
0
16
0
0
8
0
16
8
1
16
8
8
0
0
16
16
0
0
0
0
0
0
4
16
16
16
0
0
4
8
0
32
32
8
16
16
8
24
0
10
4
16
16
16
8
4
4
0
4
4
20
0
8
8
0
0
8
16
16
0
0
8
0
16
0
0
1
8
8
0
8
8
8
0
1
1
1
0
0
1
1
0
0
0
0
8
16
16
16
8
8
0
8
8
8
0
0
0
0
8
0
0
0
8
38
8
16
0
8
8
0
0
5
5
0
0
0
0
0
8
0
0
0
2
32
0
16
4
16
0
17
17
0
0
0
2
2
2
0
0
0
0
0
0
16
4
16
16
0
0
0
0
0
16
8
8
8
8
16
16
8
0
16
8
16
8
0
0
0
2
0
16
16
16
0
0
2
15
9
0
0
8
2
0
16
8
0
0
0
1
0
0
0
0
0
0
0
8
8
6
24
2
8
4
4
4
4
4
0
9
24
0
0
0
4
0
1
0
0
0
0
0
0
0
0
0
1
0
0
1
1
1
1
0
2
2
2
1
1
1
1
1
0
0
16
24
24
8
16
4
4
16
8
1
8
27
8
0
0
8
0
26
0
0
16
8
1
16
1
16
8
16
0
4
12
0
8
0
0
0
1
0
0
8
16
16
16
16
0
5
1
2
2
2
0
4
0
0
0
0
16
16
8
0
0
0
0
4
0
17
17
16
16
0
0
0
2
8
8
0
0
0
1
1
0
8
0
16
16
8
4
4
4
0
0
0
0
0
0
8
0
8
0
0
18
0
0
16
16
0
0
0
0
16
0
4
8
2
8
0
0
24
0
16
0
0
8
8
8
0
8
8
8
8
8
8
0
0
12
16
0
16
16
0
0
0
0
0
16
6
6
6
32
8
16
16
16
16
3
1
0
2
8
0
16
0
0
4
0
0
0
0
0
0
0
16
16
0
2
2
16
16
0
4
16
0
0
0
8
8
8
0
0
4
16
0
0
0
0
0
4
4
16
16
0
8
2
0
8
0
1
4
8
16
0
8
8
0
4
0
8
8
8
0
16
16
16
0
0
0
0
8
0
8
8
8
8
0
0
8
1
1
1
16
16
2
16
16
0
16
16
16
2
0
0
2
2
2
16
8
0
0
16
0
0
0
0
16
16
0
0
0
0
0
16
0
0
16
8
0
0
0
16
0
0
8
8
12
4
0
0
0
8
8
8
8
8
0
0
0
16
0
2
0
16
16
0
0
0
1
1
1
8
4
4
4
4
12
8
8
8
2
2
0
0
4
4
16
8
9
8
2
8
8
0
0
2
2
16
1
1
1
0
0
0
1
8
0
0
8
0
0
0
8
0
0
0
0
0
0
0
0
8
0
0
16
8
0
0
16
16
8
0
0
0
1
16
8
4
0
0
8
8
0
4
24
24
24
4
8
0
57
57
16
4
2
2
2
2
1
1
8
0
16
0
1
1
1
4
0
0
1
1
0
16
0
0
2
0
0
0
0
0
1
0
0
0
8
16
48
0
0
0
0
0
0
24
2
2
8
8
16
16
16
16
16
20
16
16
22
0
16
8
16
16
0
8
8
16
1
8
8
0
0
0
4
16
16
16
0
16
0
0
0
0
0
0
40
8
18
16
4
4
0
0
32
8
8
0
1
1
0
16
0
0
0
0
4
0
0
8
0
0
0
0
0
0
0
0
1
0
0
0
10
8
8
0
8
8
8
24
8
8
8
8
0
2
1
0
0
8
0
0
0
0
16
8
16
16
32
16
16
16
2
0
24
48
48
48
48
8
8
0
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
8
28
20
16
32
32
0
0
16
16
16
8
8
8
8
4
4
4
8
16
0
16
16
8
8
8
0
9
8
8
0
0
26
8
8
1
1
35
35
16
16
0
0
4
8
2
2
2
2
2
2
0
9
8
0
0
0
16
16
4
0
0
0
8
0
2
2
2
0
0
0
0
0
0
32
0
0
0
16
16
16
0
0
8
0
8
8
0
0
0
0
16
16
16
16
16
16
16
8
0
6
0
0
0
0
0
1
1
1
1
0
0
0
0
8
0
0
0
0
0
0
16
16
0
0
0
48
16
4
4
16
16
0
0
48
49
0
0
0
8
8
0
0
4
4
2
16
16
0
39
39
16
8
0
0
0
0
0
0
0
0
4
8
0
0
0
0
24
16
16
1
4
0
0
0
16
16
40
0
8
0
4
0
0
0
0
8
8
0
0
0
4
0
0
0
0
0
0
0
8
0
8
8
8
0
0
16
25
25
0
16
16
8
8
8
0
0
0
8
0
0
1
16
0
16
16
0
0
0
0
0
0
0
4
4
0
0
16
0
16
12
0
0
0
0
0
1
1
0
4
4
4
16
8
0
0
16
8
24
20
20
20
8
0
1
0
0
56
8
0
0
0
22
8
8
0
0
0
0
0
0
0
0
0
16
44
44
8
0
0
0
0
0
0
8
8
0
0
0
0
0
0
4
8
0
8
8
2
2
2
8
8
8
0
0
0
0
8
8
8
8
0
0
0
0
0
1
2
16
16
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
34
8
0
0
0
0
0
0
0
8
8
8
8
0
4
4
8
27
16
0
0
20
0
16
16
16
16
16
16
0
0
4
0
0
9
32
16
0
0
16
1
4
8
8
8
32
32
8
8
8
8
0
0
0
0
8
8
0
0
0
0
0
16
16
16
0
2
8
4
0
16
8
16
0
0
0
2
0
0
0
0
24
0
0
8
8
0
8
4
16
0
0
0
0
0
0
16
16
8
8
0
16
16
16
0
0
16
0
8
8
24
0
0
0
0
0
0
4
4
4
0
0
0
32
32
32
0
0
8
0
0
2
16
0
8
8
8
32
0
0
8
0
0
8
8
8
0
0
0
0
16
16
16
16
16
0
0
0
0
0
0
1
0
8
0
0
7
1
24
24
2
0
0
0
0
0
0
0
0
18
18
8
0
16
16
32
32
0
0
0
2
2
0
0
0
16
16
16
8
0
0
0
0
8
12
16
0
16
16
8
8
1
0
2
0
0
0
0
8
0
0
8
8
16
0
0
8
4
0
1
16
8
8
0
0
0
0
0
0
25
0
16
8
8
0
0
8
8
8
8
8
8
0
0
16
4
8
8
8
0
0
0
8
32
0
0
0
0
0
0
0
2
2
0
8
8
0
0
0
8
26
0
0
8
8
8
0
0
0
0
0
0
0
0
1
0
0
0
16
0
0
0
0
0
8
0
0
0
0
1
0
4
8
16
0
0
16
0
4
4
4
4
8
0
4
20
20
0
0
36
0
0
0
0
8
0
0
0
16
0
8
20
2
2
2
2
2
2
32
8
8
8
0
0
0
8
8
8
8
0
0
8
16
0
0
0
0
4
0
0
0
8
0
0
0
0
0
6
16
16
16
16
0
8
8
0
16
24
0
0
33
2
0
0
0
8
8
2
0
1
0
32
0
20
12
0
0
0
0
0
0
0
0
0
32
0
0
0
8
0
0
0
21
0
32
32
32
17
1
0
0
0
0
8
0
0
0
0
0
2
8
16
1
1
8
16
16
16
0
1
8
2
24
16
24
0
8
8
8
1
16
0
0
0
8
0
0
4
13
8
10
10
10
0
0
16
0
0
3
0
0
2
2
0
8
0
0
0
0
0
20
20
4
24
1
1
1
6
16
16
3
16
8
16
16
0
0
0
19
19
4
4
0
8
8
8
8
0
0
0
16
8
0
16
0
8
0
0
0
0
26
26
0
30
16
16
8
1
0
0
8
0
4
8
32
0
0
4
24
0
24
16
0
0
0
8
20
32
0
0
24
24
0
16
32
8
8
4
0
0
0
0
0
0
16
0
8
0
0
0
1
16
16
0
1
8
0
4
0
0
0
12
8
0
0
0
0
8
1
1
0
0
0
20
20
0
0
0
8
0
0
3
0
0
0
4
1
0
0
0
0
4
1
1
1
16
0
0
0
8
1
1
1
1
8
8
8
0
2
0
8
0
0
0
8
24
2
18
16
16
16
0
8
8
16
20
20
20
0
2
4
0
0
5
2
1
0
0
0
0
0
0
0
0
8
16
2
0
4
6
6
4
8
0
16
8
8
8
16
0
16
0
49
49
0
8
8
2
0
0
0
0
0
52
1
1
0
0
0
0
0
8
8
16
0
8
0
0
0
0
0
0
0
0
0
0
0
0
16
0
8
8
8
8
8
0
16
16
16
16
0
8
8
8
0
16
8
0
0
0
2
17
0
32
8
0
0
16
8
0
8
0
8
0
0
16
0
0
0
0
2
4
4
4
4
4
4
2
2
0
8
41
8
0
8
8
8
0
0
0
0
0
0
1
0
0
0
0
17
17
16
16
16
16
0
8
0
8
1
1
8
0
2
2
0
0
4
0
0
32
2
2
0
16
16
0
16
0
0
16
8
8
16
2
2
0
1
8
8
0
8
8
8
5
0
0
0
1
0
0
0
0
8
0
0
0
0
6
6
6
6
26
5
0
0
0
8
0
0
0
8
16
0
0
0
0
0
0
0
0
8
40
40
40
8
8
0
0
1
10
10
2
2
0
0
18
0
8
8
0
4
22
0
16
1
8
0
8
16
0
0
0
0
0
16
22
1
1
1
8
8
8
8
0
3
0
0
0
4
0
0
0
0
0
8
1
1
20
20
16
0
0
0
0
0
0
2
0
16
4
0
0
8
52
0
0
0
1
0
0
0
0
0
33
33
0
8
0
1
8
0
0
4
2
2
0
0
8
8
0
0
0
0
0
0
0
0
16
1
8
8
0
0
0
8
0
0
0
0
8
0
0
24
0
0
0
16
8
8
8
0
0
8
0
0
16
16
8
48
48
0
0
8
16
18
1
1
16
0
18
0
0
0
0
0
0
0
35
0
0
0
0
0
16
24
24
24
0
0
8
8
13
9
8
25
0
1
0
0
16
16
16
2
8
8
8
0
0
0
0
0
0
0
0
8
0
8
0
0
4
0
0
0
0
0
24
0
4
4
16
16
8
24
0
2
0
0
0
0
8
8
8
0
0
5
5
0
0
0
8
0
16
5
4
4
4
16
8
8
8
8
0
8
8
0
0
0
0
0
0
0
16
16
0
16
8
0
0
16
2
0
0
0
0
0
0
2
8
0
0
0
16
0
0
58
58
3
8
8
16
41
41
1
0
0
8
8
8
8
8
16
16
16
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
21
8
12
16
16
16
8
0
0
0
7
7
4
0
0
24
16
16
0
0
0
0
0
4
4
18
16
0
24
8
1
1
32
0
0
8
0
0
0
2
20
17
4
4
4
8
8
8
16
0
26
26
32
12
0
0
12
28
28
0
0
0
0
20
24
0
8
0
24
24
24
24
24
0
8
8
0
0
0
4
33
16
0
0
0
0
0
16
16
16
1
1
16
0
8
0
0
4
4
22
8
8
0
8
8
0
8
0
0
2
2
0
0
16
16
2
8
16
0
0
32
0
0
0
1
4
16
0
0
4
4
4
0
0
8
8
2
2
34
34
34
16
16
16
16
16
0
8
0
8
0
0
16
4
0
0
0
0
0
8
16
0
0
8
0
16
16
16
16
16
0
8
8
8
8
0
0
0
0
8
0
0
2
0
0
0
32
2
0
0
8
0
0
8
0
0
8
16
26
26
0
8
8
16
8
9
8
8
17
16
16
4
4
4
4
4
4
4
4
4
16
0
0
0
0
16
8
0
0
0
32
16
8
8
8
8
4
16
16
16
16
16
0
0
0
4
9
8
18
18
1
1
4
16
0
0
4
0
0
8
8
0
0
8
2
2
0
0
8
28
4
0
16
8
0
16
16
16
1
1
8
0
0
0
0
0
0
0
8
0
8
8
0
0
16
16
16
16
16
16
16
0
0
0
0
0
1
0
17
0
8
16
4
0
0
0
0
4
21
4
0
0
8
16
16
2
0
0
0
0
0
1
48
32
16
1
8
0
0
24
0
32
8
0
0
0
24
8
0
0
16
0
4
4
0
8
8
0
0
0
16
0
0
1
1
1
0
0
0
0
0
24
24
16
4
14
8
8
16
2
8
40
40
8
17
16
0
16
16
0
0
8
2
8
8
8
8
0
8
16
16
16
16
16
0
8
8
8
2
4
0
8
16
0
0
16
16
16
16
16
4
4
4
8
8
0
0
0
0
0
8
2
25
4
4
0
0
0
0
0
16
4
0
0
32
32
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
16
0
8
8
16
8
8
0
0
17
16
0
16
16
8
0
0
8
8
8
8
8
8
8
2
0
0
0
0
0
0
5
0
0
0
8
8
8
16
16
0
0
0
0
0
0
16
8
24
4
16
0
0
1
53
53
53
1
0
17
8
16
2
0
16
0
0
2
22
8
4
0
0
0
9
0
0
0
8
8
8
0
0
0
60
32
0
2
0
16
16
0
0
0
0
0
0
4
0
0
1
0
0
0
2
8
16
0
0
16
8
8
8
1
1
0
0
4
0
0
16
8
8
8
0
8
8
32
0
0
0
1
1
4
0
4
0
0
0
0
1
25
0
16
0
17
16
16
16
0
8
0
16
16
16
16
16
0
0
0
0
0
0
0
0
0
8
8
0
6
0
0
8
8
8
8
0
8
32
4
0
0
0
8
8
8
17
16
16
0
0
0
0
0
0
0
16
16
32
0
0
0
1
1
1
1
8
8
8
0
0
0
0
4
9
24
24
24
24
32
0
0
0
32
0
0
0
0
0
8
8
0
8
0
0
0
0
16
16
12
12
8
8
0
8
2
4
1
2
2
2
0
0
16
16
0
0
9
9
0
8
8
16
16
16
16
16
8
0
0
8
1
1
16
16
8
0
0
0
0
8
0
0
16
16
16
0
0
0
0
0
2
4
4
2
2
2
12
12
8
4
8
0
0
4
0
0
0
16
4
4
4
4
24
0
8
16
16
16
16
0
2
4
2
2
16
0
0
0
0
0
0
0
4
0
0
0
0
0
16
0
0
0
0
16
16
0
0
0
8
0
0
16
0
0
8
4
4
4
4
0
1
16
8
8
1
16
16
16
0
0
8
16
0
1
0
8
0
0
0
0
16
32
8
8
60
8
0
0
0
32
0
0
0
8
0
8
8
0
2
8
12
8
16
0
0
0
0
0
0
26
26
16
24
24
10
0
0
0
16
8
8
16
16
0
0
0
0
0
0
0
0
8
16
16
16
8
8
0
0
0
5
0
8
0
0
0
8
8
8
18
8
2
2
0
0
0
0
32
8
0
16
16
8
8
2
0
0
0
0
0
0
8
16
0
0
4
4
4
4
4
4
0
25
25
0
16
16
1
1
4
8
8
0
16
0
0
0
22
22
0
0
0
0
8
0
0
0
0
0
12
0
0
0
1
0
16
4
0
16
8
0
0
16
1
2
0
0
0
0
0
0
0
0
0
0
8
8
8
9
8
8
0
0
0
0
0
0
1
1
0
0
0
8
16
0
0
24
24
0
8
8
0
20
20
20
20
20
20
0
1
0
0
8
0
0
8
8
8
58
58
1
8
4
0
16
0
0
0
0
16
8
8
16
8
0
8
0
8
8
4
2
16
0
16
16
10
0
0
16
16
16
0
0
0
24
0
0
0
16
16
0
0
0
0
0
0
0
8
0
0
0
16
16
16
16
16
0
0
8
8
12
56
0
0
1
0
16
16
0
0
8
0
0
0
0
4
4
4
1
0
0
6
0
0
0
0
0
32
40
40
0
0
0
16
0
0
0
0
0
16
16
0
0
4
16
8
8
8
4
26
26
2
0
4
8
0
0
8
0
0
4
0
8
8
0
0
16
8
8
24
16
0
8
0
0
16
16
16
0
0
4
1
8
0
0
0
8
0
0
0
0
0
0
0
0
0
4
16
0
16
16
0
2
8
32
0
0
0
0
0
16
0
0
0
16
1
1
0
0
0
0
0
0
24
4
4
4
8
8
8
8
8
0
0
0
17
8
4
0
0
8
8
0
0
0
32
32
8
8
8
8
16
8
16
0
0
2
0
0
12
12
8
9
9
8
8
4
12
12
12
12
12
0
0
0
8
0
6
6
6
6
1
1
16
0
0
1
0
16
1
0
0
0
0
0
8
0
0
0
0
0
1
16
0
0
0
0
0
0
0
0
0
16
0
0
0
0
8
16
0
8
0
0
0
0
8
0
16
18
0
8
8
8
8
8
8
0
4
6
6
6
8
8
8
8
8
0
8
8
0
52
1
1
16
16
16
16
8
8
0
0
16
1
0
0
16
16
0
0
0
16
0
0
0
0
0
0
16
4
0
0
8
0
0
0
0
10
10
10
0
0
8
8
0
2
16
0
0
0
0
0
0
0
0
16
16
16
16
24
0
2
0
0
16
0
16
16
8
0
0
0
0
16
16
16
8
1
16
16
16
16
0
2
4
0
0
24
0
0
16
0
16
0
0
33
8
8
40
0
0
16
8
26
0
8
4
4
12
0
8
0
0
14
0
10
0
0
8
0
8
1
1
16
4
0
0
0
0
1
0
0
0
0
4
0
0
8
8
8
0
0
0
4
0
0
1
1
0
0
0
8
8
0
0
0
0
0
16
8
0
0
0
4
32
32
0
24
1
9
0
0
0
0
12
12
12
0
8
8
8
8
0
8
2
0
0
0
0
0
0
0
0
20
20
8
8
6
32
32
32
0
1
0
0
16
16
16
0
0
0
0
0
8
8
8
0
8
8
16
16
4
16
16
0
0
0
0
0
17
17
0
0
1
8
0
0
8
8
8
16
1
32
24
0
0
8
8
1
0
0
0
0
0
16
16
16
16
16
16
0
8
8
0
0
20
4
4
0
0
8
24
24
24
24
24
24
24
24
24
0
0
16
8
0
0
4
0
24
8
8
0
0
0
8
6
6
0
0
8
8
8
8
0
0
9
0
0
0
0
0
8
0
18
0
0
0
0
16
16
16
0
0
0
0
16
1
17
0
8
0
8
8
0
4
0
1
8
8
8
8
8
0
0
0
28
0
0
0
0
0
17
17
2
8
8
4
0
0
8
8
24
24
0
8
0
0
12
16
16
16
0
2
2
16
10
10
10
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
8
8
0
8
4
0
0
0
8
16
16
16
0
0
0
0
0
26
26
8
16
8
8
0
0
2
2
2
2
2
0
12
1
0
0
0
8
0
0
0
0
0
17
0
16
0
0
0
0
0
0
0
0
0
8
0
0
8
8
8
8
8
16
0
22
50
50
50
50
50
16
16
0
0
8
8
0
0
0
8
0
8
0
16
24
24
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
8
8
20
20
20
0
2
8
8
24
8
8
0
0
0
20
0
0
0
0
8
8
8
8
8
0
16
6
4
8
8
8
12
8
16
8
0
8
1
18
18
0
16
16
6
6
24
0
0
32
0
0
8
10
16
0
0
0
0
0
0
0
0
2
6
6
0
0
0
32
0
16
16
0
0
0
0
8
8
20
20
0
0
0
8
16
16
0
0
0
0
1
4
4
4
4
0
5
8
0
9
0
32
0
8
4
4
1
1
1
0
9
8
0
0
0
0
8
8
0
0
0
0
16
16
0
0
0
57
16
16
8
0
0
0
0
0
8
0
6
24
0
4
0
16
16
16
0
8
24
24
4
16
16
16
0
0
0
0
0
29
16
0
0
0
0
0
0
16
16
0
0
21
8
0
0
17
1
1
0
4
16
8
8
0
0
0
8
0
0
0
6
6
0
0
28
4
4
4
2
8
0
16
0
2
16
0
24
8
0
0
0
8
8
16
16
0
8
5
5
8
8
16
16
0
4
4
0
8
0
0
0
16
16
16
0
32
32
24
17
17
17
0
0
0
16
16
17
16
8
8
8
8
0
0
0
0
8
16
16
0
0
0
1
8
4
1
0
0
0
8
0
1
0
0
0
8
0
0
0
0
0
0
0
0
0
0
2
0
16
8
0
0
9
0
1
1
0
0
1
0
0
0
8
8
0
16
16
8
1
0
0
0
1
0
0
0
0
16
8
8
0
0
0
0
0
16
0
0
1
16
0
0
0
0
0
0
56
56
1
1
0
0
0
0
16
48
8
0
0
0
8
0
0
16
20
0
0
38
1
0
8
0
0
4
4
4
4
0
48
22
8
0
0
0
8
14
0
0
0
1
8
8
8
0
8
0
0
16
0
0
0
0
8
8
24
0
8
8
2
2
32
0
0
0
16
16
0
0
0
8
17
17
17
0
0
8
8
8
0
2
4
0
8
8
16
8
24
24
0
0
8
8
0
0
0
14
8
0
0
0
16
2
1
0
0
8
0
0
0
8
1
0
0
0
4
0
9
0
8
0
16
1
20
0
24
0
0
0
0
0
0
0
0
1
0
0
8
8
8
8
4
12
1
0
16
0
16
8
8
8
8
8
16
16
16
16
16
32
8
8
16
0
24
24
1
1
8
0
8
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
8
8
0
8
8
4
0
2
2
17
8
0
8
42
8
0
8
0
0
0
0
0
16
16
16
0
0
8
18
18
17
17
0
0
0
0
0
0
0
2
0
0
24
8
16
1
0
0
0
0
0
0
0
16
16
0
0
0
8
8
8
8
8
8
8
8
8
8
12
12
12
4
4
0
0
4
0
0
16
0
0
0
8
0
0
8
0
0
0
0
24
4
4
4
16
0
0
8
1
1
1
1
1
0
0
16
16
16
16
16
1
16
16
16
24
8
8
9
9
0
8
8
8
8
8
8
0
12
12
4
4
16
16
16
8
8
8
16
16
4
4
0
0
0
0
0
8
8
0
16
1
24
24
0
2
0
16
16
0
0
0
4
0
0
0
0
0
25
25
25
25
2
2
0
0
16
16
16
8
4
4
0
0
8
0
0
32
32
16
0
0
0
20
2
2
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
8
0
16
9
20
16
0
0
0
16
32
4
16
16
16
8
8
8
0
8
8
4
4
4
4
4
16
24
32
32
32
8
0
0
0
0
8
8
0
16
16
8
8
8
8
16
16
16
16
0
0
0
13
6
16
16
0
20
0
0
0
0
0
2
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
9
36
8
8
16
0
5
12
0
16
16
0
1
0
4
0
0
0
40
8
20
20
20
20
20
0
0
0
0
16
16
0
0
0
4
0
0
0
8
8
8
1
1
1
1
16
16
16
16
0
4
4
0
0
0
0
0
0
8
16
16
16
0
0
8
0
0
8
16
8
0
0
0
4
33
0
16
16
6
8
8
0
0
0
4
0
0
1
0
0
0
0
0
0
0
16
8
8
8
0
0
0
0
2
13
13
8
0
0
0
0
1
0
0
2
1
1
0
0
16
0
0
0
8
8
16
0
4
0
8
0
16
8
0
16
16
16
16
16
0
0
0
8
0
0
0
0
0
0
0
0
0
0
8
32
32
0
0
16
16
0
2
2
2
16
16
0
0
0
0
0
16
1
0
0
17
0
16
0
16
8
0
0
0
1
8
2
2
4
4
4
8
0
0
0
4
0
0
0
0
24
16
16
16
0
16
16
0
16
16
16
16
16
16
16
0
16
0
0
0
8
0
16
16
0
0
0
0
0
8
0
0
0
1
0
8
4
0
0
0
8
8
17
0
0
0
0
0
0
0
0
0
16
16
2
0
0
0
24
8
8
2
2
2
0
0
0
8
4
4
4
0
36
0
0
0
16
16
8
0
8
32
32
32
32
1
0
0
0
0
0
16
16
16
16
16
16
32
32
0
0
0
1
0
8
8
8
8
8
8
8
8
8
8
38
8
8
48
48
48
0
0
0
0
16
0
0
0
16
16
16
8
4
0
0
0
32
16
56
0
0
4
8
8
2
0
4
16
0
8
8
8
0
0
0
0
0
16
0
22
22
4
4
0
4
8
0
0
0
8
8
0
0
0
2
0
0
0
8
1
8
2
8
4
16
8
0
4
0
16
16
0
0
0
1
0
0
0
0
0
1
1
0
8
8
0
0
1
0
16
24
0
8
8
8
0
0
8
8
8
0
0
0
0
0
0
8
0
16
0
16
4
0
1
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
8
0
0
0
0
8
0
0
0
24
0
0
0
16
16
0
0
17
8
8
8
8
8
8
4
0
8
4
4
12
12
0
0
0
0
0
4
8
1
0
0
4
0
0
1
1
32
0
5
0
16
5
5
4
16
0
0
0
0
16
16
24
8
20
20
20
8
0
16
1
0
16
0
10
0
8
0
0
0
0
0
0
0
32
0
8
8
0
16
0
0
0
8
8
0
8
8
8
8
8
16
16
16
16
0
0
0
0
0
0
16
8
8
0
0
0
0
16
12
0
0
0
12
0
8
8
0
8
16
0
8
0
8
8
16
16
16
8
8
16
16
48
1
8
0
0
0
0
0
0
0
0
0
16
16
16
8
0
0
0
0
0
0
0
0
0
0
16
8
0
4
4
4
4
4
0
0
16
16
0
0
0
0
0
16
0
8
0
0
0
0
9
9
9
0
0
0
0
16
24
2
0
8
13
0
0
16
16
16
16
16
4
0
16
8
12
12
12
12
4
4
4
0
0
0
8
0
0
0
0
16
16
8
16
0
0
8
0
37
17
17
0
0
0
0
8
8
8
8
8
0
0
0
8
8
0
1
0
2
2
16
16
0
8
8
16
0
0
2
0
8
8
0
0
0
0
16
0
8
8
8
0
0
16
4
9
9
1
1
1
10
10
8
8
8
16
16
16
17
0
0
0
0
0
0
0
0
0
0
0
0
17
4
8
8
2
4
4
4
0
0
0
8
0
16
1
12
0
0
0
0
0
0
0
0
2
4
8
8
16
12
12
12
12
1
4
0
8
8
0
0
4
0
16
0
0
1
8
0
4
0
8
0
0
0
48
0
0
0
0
0
16
0
0
0
0
0
0
0
16
8
4
0
0
0
0
32
0
2
2
0
24
22
4
0
4
0
0
1
0
0
0
0
0
0
8
12
12
8
8
0
32
6
6
48
48
48
5
0
16
33
33
33
33
4
0
8
8
16
0
8
8
8
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
0
8
8
0
0
1
8
4
12
0
1
0
8
8
0
16
0
0
24
8
0
0
0
16
16
8
0
0
0
0
8
8
8
1
8
0
0
0
8
0
0
0
16
0
0
0
8
0
0
0
5
0
8
0
0
0
0
8
8
8
8
8
8
24
24
4
8
8
0
0
0
0
0
0
16
16
0
1
32
32
16
16
3
3
0
4
0
0
0
0
0
4
4
0
16
0
0
0
0
16
0
0
8
0
0
0
0
12
12
0
0
8
18
18
8
8
0
1
0
0
18
8
0
0
4
4
0
24
0
20
10
16
8
0
0
0
8
8
8
0
0
0
2
2
0
0
8
32
0
0
0
0
0
0
0
0
13
16
0
0
0
0
0
0
8
0
16
8
0
0
0
16
0
8
16
16
8
0
8
8
0
8
0
8
2
16
16
16
16
0
0
4
0
0
1
16
16
16
0
0
0
0
0
0
16
0
0
0
0
0
0
0
16
4
16
40
4
4
0
1
0
8
0
16
16
16
8
0
1
1
18
18
16
0
0
8
8
0
0
0
0
1
4
16
0
16
16
16
16
16
16
8
8
8
4
0
0
0
0
0
4
4
4
4
4
4
4
4
8
16
0
24
24
24
0
0
0
17
0
0
0
4
0
8
8
8
1
0
0
8
16
20
4
0
24
24
24
8
0
0
0
8
8
0
0
8
2
2
16
16
16
16
16
16
16
5
16
0
0
8
1
1
1
16
16
0
8
8
1
0
0
0
0
0
0
16
16
8
8
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
49
0
8
16
16
16
0
0
17
0
0
16
16
0
0
0
0
1
0
16
0
1
0
0
0
0
0
8
8
8
8
0
0
0
12
12
12
0
0
0
1
1
0
32
32
32
16
0
0
0
0
0
0
0
0
4
40
1
8
8
0
0
8
8
0
0
8
8
8
8
8
16
0
16
16
8
8
0
0
0
8
32
24
2
0
16
4
0
10
0
16
4
0
0
0
8
0
20
20
32
0
0
0
0
0
4
30
8
0
20
8
8
0
0
4
0
0
0
0
2
16
8
0
0
0
0
0
0
0
8
8
8
0
0
0
4
4
0
16
0
16
8
2
8
8
0
0
0
8
4
4
16
0
0
0
30
30
8
8
4
16
0
0
0
0
0
0
0
0
0
0
17
8
0
0
0
0
11
1
0
8
8
0
0
8
8
0
0
0
1
16
0
0
8
8
16
16
0
0
0
0
0
0
33
0
0
0
47
0
16
1
0
0
8
3
16
16
16
16
4
4
32
16
1
20
20
4
2
2
0
0
0
8
0
0
8
8
0
0
0
0
0
8
8
8
8
8
8
0
0
0
0
0
0
0
4
4
0
0
18
18
1
4
0
0
24
0
0
16
16
0
8
16
4
0
0
0
0
0
16
0
8
8
0
0
0
0
9
9
9
9
0
0
0
12
0
0
0
0
0
0
0
0
0
9
0
0
8
16
24
0
0
0
2
0
16
0
16
8
8
0
8
2
2
16
16
16
0
0
16
16
16
16
8
0
0
0
0
0
6
6
4
0
0
16
21
8
0
0
0
8
16
16
4
0
8
16
8
24
16
0
0
4
0
8
16
0
0
8
4
4
4
8
0
0
0
0
0
4
4
16
16
8
24
0
16
17
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
1
8
0
2
48
8
32
32
2
2
2
16
8
8
8
8
8
0
10
0
2
0
12
12
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
8
0
0
0
0
0
0
4
2
2
8
8
8
2
0
0
16
34
8
8
8
0
0
0
0
0
0
2
35
0
1
1
16
17
17
0
0
0
0
0
0
17
17
17
0
2
2
2
0
0
0
18
0
8
8
8
0
3
2
0
0
0
16
16
8
8
8
8
8
0
17
1
1
0
0
0
4
0
16
0
8
0
0
0
0
0
0
0
16
8
8
0
0
0
0
16
0
0
0
16
16
0
0
0
4
1
0
0
0
0
1
0
0
16
4
8
20
20
4
0
16
0
0
0
0
8
0
0
18
18
0
4
2
0
0
8
8
0
0
2
3
3
3
0
0
0
0
0
0
16
8
8
8
1
1
0
0
0
0
0
8
16
8
0
0
8
0
0
0
32
0
0
16
16
4
4
0
0
8
8
16
16
16
16
16
0
0
0
2
2
24
16
0
32
32
1
1
8
4
4
0
0
0
8
24
24
0
8
2
8
8
4
4
0
0
0
0
1
1
0
8
0
0
0
8
8
0
0
44
4
0
0
16
6
0
0
0
0
0
0
32
32
0
0
0
0
0
4
0
25
16
0
0
8
0
0
0
0
0
0
0
0
0
8
0
16
16
32
4
4
8
8
0
8
8
8
0
0
8
16
0
16
16
16
16
16
16
16
16
16
32
40
40
40
0
0
0
0
0
0
0
1
8
8
8
1
0
2
2
0
1
32
32
16
8
0
0
0
10
10
10
0
0
0
0
0
0
0
16
8
16
16
0
0
9
16
16
0
0
0
24
0
0
0
0
0
8
4
6
4
0
0
0
0
8
16
0
0
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
8
0
16
0
0
16
0
0
0
0
0
48
16
16
16
2
1
16
8
8
8
0
2
1
0
0
4
4
0
16
16
0
0
0
8
0
0
32
16
2
0
8
8
0
0
0
8
8
24
0
10
10
0
24
24
0
0
8
1
8
0
24
0
0
0
0
0
4
0
0
0
0
0
0
4
16
16
0
8
1
8
32
32
0
0
0
8
16
16
16
0
0
0
0
16
16
2
4
0
0
8
0
16
8
8
0
8
0
0
0
2
8
8
8
8
8
8
8
16
16
16
0
8
8
8
17
0
0
0
2
8
8
0
43
43
0
0
0
8
8
0
0
0
0
8
8
8
8
0
0
0
0
0
0
8
8
8
0
8
20
0
0
0
8
0
0
0
0
8
8
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
1
0
0
16
0
1
8
0
0
8
0
0
0
1
8
0
2
8
8
16
16
16
16
53
53
53
53
0
0
0
16
0
18
18
0
0
8
8
0
0
16
0
8
0
0
33
0
0
4
12
0
0
0
16
4
1
0
0
0
32
28
1
0
0
0
0
12
32
8
0
1
0
8
8
0
0
0
0
4
16
8
4
16
16
16
42
8
24
24
0
16
0
0
2
8
0
0
8
16
16
16
0
0
0
0
4
0
8
0
0
16
8
0
8
8
32
8
8
0
0
16
16
16
0
0
0
0
8
0
0
7
8
0
0
0
16
24
16
16
0
0
1
0
0
0
0
0
0
16
1
1
1
12
12
12
0
0
0
16
16
0
0
0
2
2
0
0
4
4
8
0
24
0
32
1
1
1
1
1
1
16
16
0
0
0
0
3
0
0
0
9
9
32
12
12
8
8
8
0
0
0
0
0
0
0
16
24
24
46
0
8
14
10
0
8
8
8
0
18
8
0
8
1
1
0
0
0
0
0
0
18
24
0
0
8
2
8
0
1
1
1
0
1
8
0
0
0
0
0
0
0
0
16
1
0
16
0
0
1
0
0
0
0
0
0
0
1
0
0
2
2
0
16
0
0
0
16
16
0
8
24
8
0
0
0
40
8
0
0
0
16
0
8
32
8
8
0
0
16
16
16
8
20
0
0
0
0
0
12
12
12
0
0
0
0
0
4
17
2
1
1
28
28
0
0
0
2
0
0
16
16
16
20
20
0
20
0
16
8
8
0
0
0
0
0
0
0
8
8
0
8
0
0
0
6
2
0
1
1
1
1
1
1
0
0
0
8
0
0
0
0
0
8
8
16
16
0
16
16
0
2
8
0
0
0
0
0
8
8
8
8
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
8
8
32
32
32
0
0
8
8
8
8
8
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
8
16
0
8
0
0
8
16
16
0
0
8
16
2
2
9
9
0
8
0
0
0
4
4
4
9
9
0
0
0
0
0
0
0
0
16
16
0
0
0
1
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
16
4
0
0
8
1
4
4
8
0
0
0
1
0
0
0
0
16
10
1
0
0
1
8
28
28
0
0
0
0
0
0
0
0
0
8
8
8
0
60
8
0
0
0
40
40
0
0
0
0
0
8
0
32
32
8
8
8
8
26
0
1
1
4
0
16
0
0
0
4
4
1
0
0
16
0
0
0
8
0
0
32
0
0
2
0
0
0
8
16
2
4
0
0
4
8
19
19
0
8
8
16
8
2
2
0
16
16
16
2
0
0
0
0
16
16
16
16
16
16
0
0
0
16
8
0
0
8
0
0
0
4
4
4
0
0
16
16
4
4
2
0
16
16
18
0
16
1
4
10
0
8
0
16
16
0
0
1
0
0
0
0
0
0
16
16
1
8
8
8
8
0
0
0
26
0
0
16
1
0
0
0
0
24
0
0
3
3
3
48
12
16
20
0
0
0
4
0
0
4
4
0
4
18
0
0
32
13
48
8
0
8
0
0
8
0
1
4
0
0
0
0
0
0
0
0
0
20
0
0
0
8
0
16
12
12
0
0
8
8
0
16
0
16
16
3
3
1
8
16
16
0
8
8
0
16
12
12
12
0
0
8
8
0
0
0
16
16
8
0
4
0
0
8
0
32
9
9
0
0
0
32
32
0
0
8
8
0
0
0
0
0
0
1
16
16
16
0
0
12
18
18
0
0
0
8
8
0
2
0
16
16
4
0
22
0
0
0
0
0
16
0
16
2
8
0
0
0
0
8
12
12
12
12
12
8
8
8
8
8
8
0
8
16
0
0
0
0
0
0
0
5
5
0
0
18
18
18
1
8
2
2
2
8
0
16
16
0
4
0
24
24
24
0
0
0
4
2
2
2
2
0
0
0
0
1
1
8
0
8
0
0
4
0
0
0
8
8
8
0
0
1
8
0
8
0
0
0
0
0
4
8
8
0
44
44
16
16
40
40
8
1
8
0
0
0
8
8
8
8
0
32
0
16
0
0
0
16
0
8
0
0
0
8
0
0
8
0
0
0
8
0
0
4
0
0
40
0
0
0
0
0
8
8
8
15
0
32
16
16
20
0
16
16
0
0
16
24
24
24
0
0
0
0
0
0
0
0
0
0
0
1
16
16
0
8
0
0
4
4
4
12
4
0
17
4
4
4
4
48
0
0
24
24
1
8
0
0
20
8
8
8
8
0
0
0
17
0
0
4
4
8
0
0
8
8
8
0
0
0
0
8
0
16
0
16
0
0
8
4
8
0
8
0
3
0
0
0
8
0
0
0
0
24
0
0
4
0
0
0
0
0
0
0
32
8
8
24
0
0
2
2
0
0
4
1
0
1
0
0
0
0
1
1
1
0
0
0
0
16
0
0
8
8
16
16
16
0
16
16
8
8
0
0
0
2
8
5
5
5
1
8
0
0
0
4
4
8
0
16
16
16
8
8
8
0
0
1
1
1
1
16
0
8
0
2
1
8
0
8
9
0
0
16
16
16
5
27
8
8
8
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
2
8
8
8
8
16
0
1
0
0
0
16
16
8
4
4
4
16
8
8
18
18
0
0
0
8
1
0
8
1
0
0
42
0
0
8
8
17
16
8
8
8
8
1
0
0
0
0
0
16
0
0
4
8
4
16
18
18
1
1
1
0
0
0
16
0
0
24
28
28
28
0
8
16
16
8
0
27
0
8
8
0
24
24
0
2
16
24
8
1
0
0
8
0
0
0
0
8
0
0
0
0
0
16
16
16
16
0
0
0
8
0
0
16
20
16
0
1
8
8
4
0
0
8
0
16
8
8
32
32
16
12
0
0
0
0
0
32
8
2
8
0
0
0
8
8
8
0
0
0
0
0
0
10
16
0
12
32
32
0
16
6
6
6
6
0
2
0
0
0
0
8
3
17
16
8
8
8
0
0
8
0
8
8
8
0
16
16
0
0
0
0
0
8
10
17
1
0
0
0
0
8
2
16
0
0
0
0
0
0
0
0
0
0
32
32
0
0
8
10
10
24
0
0
0
0
8
8
8
20
20
0
0
32
0
4
4
4
0
16
20
20
8
8
16
16
0
0
0
0
0
32
0
0
8
8
0
8
8
8
8
1
16
16
0
0
0
0
0
0
8
2
2
2
2
0
0
17
17
16
16
16
0
0
0
0
0
4
24
0
0
8
0
0
0
2
2
8
24
0
0
32
0
24
9
9
0
8
0
8
0
0
4
0
8
0
20
0
0
16
0
8
8
16
16
0
0
0
8
8
0
0
8
8
0
0
0
0
17
19
8
8
0
0
0
8
0
0
16
4
4
0
16
0
8
8
8
8
0
16
16
16
2
11
2
2
0
8
0
0
0
2
2
8
17
16
0
8
8
16
0
0
0
0
26
16
32
8
1
8
8
48
48
0
0
8
0
16
16
16
16
16
48
0
1
16
0
52
52
9
0
0
16
16
16
0
8
0
0
0
0
0
8
0
8
8
0
0
8
8
0
0
0
0
0
0
0
16
24
24
1
16
16
8
8
0
0
0
4
0
0
1
2
0
2
26
16
0
0
8
0
17
8
8
4
4
4
16
16
0
0
0
0
0
2
0
0
16
1
1
0
0
4
4
4
0
0
4
8
0
0
9
24
0
16
4
3
24
0
16
8
16
16
16
16
0
0
0
0
0
0
16
16
8
8
0
1
1
1
20
0
0
12
12
12
4
8
8
16
0
0
4
0
8
0
8
9
8
16
0
0
0
16
16
0
0
0
2
2
0
2
2
4
4
24
0
0
0
0
0
0
0
0
0
0
16
16
2
25
25
1
6
16
32
32
0
0
0
0
0
0
0
28
8
8
0
8
0
0
0
18
0
0
0
2
2
4
0
0
0
0
0
0
2
0
0
0
4
24
0
4
0
0
0
0
0
32
32
32
32
8
0
0
0
0
4
1
8
0
0
8
20
0
0
0
0
2
16
16
9
9
16
0
16
16
16
2
0
8
8
4
0
0
0
16
0
0
0
0
0
0
9
4
1
1
0
16
16
16
16
8
8
8
8
8
8
2
2
0
16
8
16
24
0
16
8
0
42
0
0
0
2
2
0
8
2
0
0
0
16
0
8
28
16
0
0
0
1
16
0
0
4
0
0
0
0
20
20
0
0
0
1
1
0
0
0
0
0
16
35
35
0
0
0
0
8
16
16
4
2
1
1
1
16
12
17
24
24
16
24
8
32
2
2
0
16
1
8
8
9
0
0
2
0
16
0
0
0
8
0
4
0
0
0
2
0
2
0
8
1
0
4
0
41
41
0
0
8
8
8
0
0
0
0
0
0
0
0
0
16
16
16
45
0
0
0
0
8
0
24
24
0
8
1
1
8
8
8
8
16
10
10
10
10
16
8
8
8
4
16
0
16
0
0
1
24
0
8
8
8
8
0
0
10
10
10
10
8
8
0
0
0
16
0
0
0
0
4
4
4
9
9
2
8
8
8
34
8
16
4
16
16
4
8
8
8
8
0
0
20
0
0
0
8
8
0
0
16
8
16
16
16
0
8
0
0
8
16
2
0
0
0
0
4
4
0
0
8
16
16
0
0
0
1
1
1
0
4
16
8
8
0
0
0
16
0
0
1
0
1
0
16
16
1
0
0
0
0
0
0
0
16
16
8
8
0
0
16
16
0
16
2
20
20
16
4
8
4
0
0
0
26
24
0
0
8
8
0
0
8
8
0
8
8
8
8
8
0
16
16
16
0
4
4
0
0
8
0
2
24
0
0
0
8
0
0
0
20
4
8
8
0
0
0
0
0
0
17
17
0
0
0
0
0
0
0
0
0
0
0
0
0
0
24
24
8
0
0
0
0
8
8
0
0
0
0
0
0
8
0
8
16
0
0
18
9
0
0
0
0
0
8
32
32
32
0
4
4
4
0
16
0
0
0
0
0
32
0
32
32
0
0
2
2
8
8
0
0
8
8
8
8
0
0
0
0
0
0
0
0
16
8
0
0
2
8
20
0
16
24
0
16
4
0
8
4
8
4
8
6
6
32
16
16
0
0
8
4
16
0
0
20
2
16
16
16
36
4
8
8
0
0
0
0
0
0
4
0
0
0
0
4
8
24
24
24
24
0
0
0
8
0
4
0
0
0
0
8
16
0
0
16
0
2
0
0
0
0
0
0
4
0
0
8
16
0
0
0
0
16
16
8
8
8
1
8
0
0
0
4
4
0
8
16
8
16
2
1
0
1
16
16
0
0
0
0
2
0
0
2
2
2
0
4
2
16
0
0
0
20
8
8
8
0
0
8
0
0
0
0
0
0
1
2
8
8
0
16
0
8
8
16
8
0
0
0
0
0
16
0
0
8
0
0
2
2
16
16
8
4
4
0
0
0
0
0
0
8
8
0
0
0
12
16
16
0
0
16
0
12
16
32
32
8
4
4
4
4
16
0
0
0
0
18
0
0
0
0
0
0
0
0
4
8
4
4
16
0
2
0
0
4
4
0
32
32
32
0
0
16
0
2
2
2
2
0
0
0
16
16
1
16
16
0
0
16
16
16
0
0
0
2
1
8
8
0
16
16
0
0
0
0
0
0
0
0
1
8
8
0
0
8
0
0
0
0
0
32
16
0
0
8
16
1
4
1
1
8
8
0
0
8
8
8
8
8
8
8
0
0
16
16
0
0
0
8
0
0
8
8
0
0
8
0
8
0
8
0
0
4
0
0
8
0
8
8
0
0
0
16
16
16
0
0
0
0
0
32
8
8
8
8
0
8
0
24
24
24
0
8
32
40
8
8
16
0
16
16
1
8
16
4
4
8
0
0
0
0
0
0
2
0
0
26
8
0
1
1
1
1
1
32
32
16
16
8
8
8
0
16
8
0
1
16
4
0
0
16
8
0
16
0
25
2
2
8
18
0
0
0
0
0
4
4
0
0
1
0
16
1
4
16
16
8
8
0
0
0
0
0
0
0
0
0
0
2
16
0
0
0
1
16
0
0
2
48
0
0
16
16
0
0
8
8
0
8
0
2
0
1
40
32
8
8
0
16
16
0
0
16
16
16
16
0
0
0
0
0
0
0
0
0
0
8
0
4
4
8
8
2
2
8
8
8
2
2
4
4
8
8
8
8
8
8
8
0
0
0
0
0
0
8
8
0
0
0
0
8
16
0
0
0
16
0
0
0
48
0
0
0
0
0
0
4
8
8
8
0
0
2
24
0
0
0
0
0
8
8
0
0
1
1
0
16
4
0
17
32
16
16
16
8
16
8
16
0
0
0
0
1
1
1
1
9
9
0
8
8
8
0
0
0
0
0
0
16
16
16
0
0
9
8
4
4
8
18
0
0
0
0
8
0
1
8
0
0
0
12
0
0
0
4
0
0
8
8
8
24
24
0
1
1
1
0
8
4
8
1
0
4
4
32
8
8
0
16
1
0
0
0
0
8
8
8
8
8
0
0
0
0
1
1
1
1
0
0
8
8
16
2
8
8
8
24
16
16
8
1
1
1
0
56
0
0
8
0
16
0
0
8
8
0
16
16
8
1
1
16
1
1
1
0
0
0
0
8
12
12
12
0
0
0
0
2
2
0
4
4
4
16
0
16
0
0
2
2
0
0
0
8
0
0
0
0
0
0
8
8
8
8
8
0
0
0
0
2
2
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
8
8
8
8
8
8
0
4
4
8
0
0
8
0
16
1
0
1
16
0
0
0
8
0
16
8
0
9
0
0
2
41
0
8
17
0
10
16
8
4
4
0
0
2
2
0
0
16
16
0
0
0
0
16
8
16
8
4
0
0
0
0
0
8
4
0
0
0
5
8
0
9
16
0
26
26
8
2
16
4
0
0
4
8
0
8
2
26
4
0
24
24
24
24
24
24
24
24
16
0
0
0
8
8
0
8
0
0
0
32
24
2
8
1
0
0
8
4
4
4
8
0
0
0
4
4
3
0
0
8
0
0
0
0
4
4
8
0
0
0
16
0
20
8
0
0
8
8
8
8
8
8
8
8
4
4
0
0
0
0
0
22
22
22
8
0
0
0
0
4
16
0
0
8
40
40
2
16
0
0
0
8
16
16
0
0
4
0
2
8
4
4
0
0
0
0
16
16
8
0
20
0
0
16
16
4
16
2
2
24
16
0
0
16
16
16
0
0
0
0
0
32
32
0
0
8
8
8
8
8
0
4
0
20
0
0
16
16
1
0
1
1
0
0
0
4
8
0
0
8
0
0
0
0
0
0
20
5
2
0
4
0
8
24
9
0
16
16
0
0
0
0
0
0
8
8
8
0
4
4
34
0
0
16
24
8
8
1
24
24
0
16
0
0
0
4
0
10
0
0
0
4
4
4
0
16
8
2
0
0
8
0
2
4
0
8
8
16
16
0
0
18
18
8
8
8
0
0
0
0
8
6
2
2
16
0
0
0
1
16
4
0
0
0
0
16
0
0
0
0
0
24
2
8
0
0
0
0
0
0
0
0
2
2
2
2
2
4
4
8
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
24
24
0
0
0
16
20
0
24
0
0
12
0
0
1
1
8
8
8
8
0
0
0
4
8
0
0
0
8
0
16
0
0
0
4
8
0
0
8
0
0
0
0
0
0
32
32
32
0
0
8
0
8
8
0
0
0
4
4
0
0
0
20
20
0
0
16
16
2
8
0
0
1
0
0
0
7
7
0
0
0
16
0
12
0
2
2
2
0
0
0
8
0
16
8
4
4
0
0
2
2
2
2
2
2
2
16
16
41
0
0
0
0
8
8
16
16
2
8
8
16
8
0
0
0
0
16
8
8
4
0
1
12
0
1
1
8
8
0
0
0
0
0
0
0
0
0
0
0
0
9
0
8
0
0
0
0
8
8
0
0
8
0
0
0
16
0
0
0
0
0
0
0
0
8
2
0
16
8
8
8
8
0
0
0
0
17
0
0
0
0
0
0
2
2
0
0
0
8
8
8
16
16
16
1
0
1
0
8
0
16
0
16
0
0
8
0
57
8
8
0
2
2
2
2
2
8
8
0
4
4
4
0
8
8
16
0
0
0
0
0
1
1
8
0
0
0
0
0
0
16
8
0
0
0
0
0
2
0
2
16
0
0
0
8
8
0
24
4
0
0
0
8
8
8
0
0
16
0
24
4
0
0
0
2
1
4
0
0
16
16
0
0
0
1
1
1
0
0
0
6
0
0
0
0
16
16
0
0
0
0
0
0
17
0
16
0
0
16
0
8
8
8
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
8
8
1
0
0
0
0
24
0
9
9
9
4
18
0
0
8
48
9
0
0
21
8
8
16
27
16
0
16
8
16
16
0
9
0
0
0
0
16
8
8
16
0
8
8
8
36
0
0
0
4
8
0
0
0
16
8
8
8
16
16
16
0
0
0
0
0
0
0
0
0
0
1
8
8
8
8
4
8
4
4
0
0
0
0
8
0
0
0
0
0
32
0
0
8
8
1
0
8
0
0
0
0
32
32
0
16
0
4
16
8
8
0
0
16
0
4
1
0
0
0
0
4
4
4
0
0
4
1
0
0
0
8
8
8
8
1
1
0
0
8
0
4
16
0
0
0
16
0
0
8
2
0
16
8
8
0
0
8
8
8
8
8
8
8
16
4
0
0
0
0
0
32
16
16
24
8
8
8
0
16
16
16
4
4
0
0
0
0
0
0
0
8
16
8
8
0
16
1
0
0
2
2
0
0
24
45
0
4
0
0
16
8
0
8
8
8
8
20
8
8
8
8
8
0
24
8
9
8
8
8
16
0
0
4
4
0
0
16
0
16
16
8
8
8
8
0
0
0
32
0
17
0
0
0
1
0
0
0
0
0
0
8
0
0
0
0
0
0
9
9
9
8
8
0
0
0
16
16
4
0
0
0
0
4
4
8
8
8
8
8
8
0
0
1
16
0
0
0
0
0
16
16
0
0
8
0
0
0
24
0
0
0
8
0
0
16
16
16
0
8
8
8
0
0
8
8
8
8
8
0
0
0
6
0
0
0
8
8
5
5
0
0
0
2
2
2
4
0
0
36
36
36
36
16
16
16
4
8
16
16
16
16
16
0
0
0
0
0
8
8
16
24
16
0
4
0
0
0
0
0
8
8
0
0
8
0
0
8
8
0
8
8
0
4
0
4
8
0
0
5
16
8
20
20
0
0
4
4
0
0
0
16
22
22
16
16
0
0
17
8
1
9
9
9
9
16
0
0
16
24
0
0
16
16
0
0
0
0
0
4
8
0
0
0
12
0
0
4
0
0
0
0
0
0
0
8
16
0
0
0
16
0
0
16
16
37
1
1
4
0
0
50
2
16
0
0
0
8
8
0
0
8
8
8
8
8
8
8
1
1
0
0
8
4
16
0
0
0
0
0
0
8
0
0
0
0
0
0
2
0
0
2
2
2
2
0
8
16
2
2
2
4
0
0
8
0
0
0
0
0
8
8
48
3
0
16
0
0
8
0
0
0
0
0
0
0
0
0
8
8
8
8
8
0
0
0
0
8
0
0
0
0
4
16
0
0
2
0
4
36
36
8
8
8
8
8
8
8
2
2
2
17
0
8
20
20
20
20
20
20
20
20
0
0
8
0
0
0
24
24
24
24
0
0
0
0
16
16
16
20
20
0
10
0
0
0
0
0
5
0
0
0
0
0
0
0
16
8
18
0
16
0
0
0
16
16
16
1
0
0
0
16
16
16
0
0
0
1
0
0
0
1
0
4
8
18
18
0
0
8
4
8
8
0
0
8
8
16
16
0
1
0
5
5
0
0
0
0
20
8
8
8
8
8
8
8
24
24
1
4
4
16
0
0
1
16
16
4
0
4
0
0
0
16
2
0
16
8
0
0
0
0
16
16
0
0
0
0
1
16
0
0
8
1
1
1
1
0
2
16
16
0
0
48
48
0
8
4
0
8
8
8
8
0
20
0
16
0
0
0
4
25
0
0
0
0
0
0
0
16
0
0
0
0
8
1
1
1
1
2
0
4
0
0
4
0
0
0
0
0
0
32
0
0
0
0
0
0
16
0
16
0
8
8
0
0
0
16
0
0
0
1
1
16
0
0
24
16
16
0
0
0
0
32
0
0
0
0
8
8
8
0
40
40
40
0
0
10
0
0
0
0
0
0
50
2
2
16
16
16
0
8
0
0
0
0
0
9
16
8
8
1
0
36
0
0
0
0
2
0
0
2
0
0
0
0
0
8
0
1
1
8
8
16
0
0
0
0
0
0
18
1
0
0
0
0
0
8
18
8
2
16
16
8
8
4
24
8
8
16
8
8
0
4
0
8
0
34
8
8
0
4
20
8
0
0
0
0
8
8
8
16
8
8
8
24
24
0
0
40
40
4
4
4
4
24
24
24
24
24
24
0
0
8
0
4
16
0
0
36
0
0
8
57
57
0
0
0
0
8
0
16
4
6
6
6
1
0
0
0
8
0
8
8
8
0
0
0
0
8
4
4
4
0
1
1
0
0
0
12
0
0
0
9
1
0
16
16
16
16
16
0
0
0
0
0
0
0
0
0
17
0
16
4
6
32
8
0
8
8
32
0
1
0
0
0
0
0
0
20
16
16
0
0
0
8
0
0
0
0
0
0
0
0
0
1
4
56
0
0
0
8
16
0
0
4
4
7
0
16
16
2
0
0
0
8
8
8
40
0
8
8
2
0
0
0
0
0
4
0
0
0
16
8
1
8
0
1
1
16
10
10
8
8
8
8
8
8
8
8
0
18
0
4
4
0
0
0
0
8
0
0
0
0
8
24
24
0
0
2
2
16
16
8
0
8
0
9
25
16
0
2
8
8
8
16
0
0
8
8
8
8
0
0
0
0
1
1
8
0
0
0
0
0
0
8
26
26
0
4
4
4
4
0
0
0
4
0
32
0
0
2
2
1
1
0
0
8
0
8
8
8
8
0
16
0
0
4
4
4
4
16
16
8
8
8
8
16
8
8
8
2
8
8
8
1
0
0
0
8
8
16
16
0
16
16
16
0
0
8
1
0
8
8
8
8
16
16
16
16
16
8
24
16
48
48
48
0
0
0
0
16
0
0
0
0
8
0
8
16
16
0
8
4
4
0
2
2
2
4
8
1
1
1
1
12
12
0
16
16
8
8
8
8
8
8
16
1
4
4
0
8
16
8
0
0
16
0
0
16
0
0
0
0
0
0
0
8
0
0
0
0
16
16
1
2
16
8
4
1
1
16
0
0
0
0
0
0
16
16
16
16
16
16
2
2
0
0
8
2
16
0
0
8
0
0
0
1
1
1
1
1
24
0
16
16
16
0
4
0
8
16
0
0
8
1
0
0
2
4
4
4
2
0
0
0
4
4
0
0
0
16
8
1
0
16
4
4
0
1
1
1
1
1
0
8
0
0
0
0
0
8
0
0
0
0
2
32
32
0
16
4
0
0
0
0
0
8
8
8
8
8
8
0
0
0
0
8
8
0
8
3
0
8
0
8
0
16
16
9
20
20
16
16
8
0
10
0
0
0
0
16
0
0
0
8
0
17
17
0
0
8
12
8
8
0
10
0
0
0
0
0
4
0
0
0
0
1
8
0
0
0
0
1
4
4
0
0
0
0
16
16
0
0
0
0
8
0
0
20
0
0
0
1
1
16
16
0
0
0
0
0
0
8
16
16
16
16
16
16
16
0
0
0
0
0
8
0
0
8
0
16
1
16
0
16
0
0
0
16
0
0
0
8
8
0
0
0
0
0
2
2
4
4
8
8
16
0
24
8
8
0
8
0
0
0
2
0
0
0
8
8
48
0
20
20
20
33
33
33
33
33
33
33
4
16
0
22
0
1
1
4
28
28
4
0
16
0
0
0
0
0
0
16
12
12
8
0
10
0
0
0
0
0
0
16
8
8
0
0
0
0
2
8
0
8
8
8
32
32
16
0
8
0
24
24
16
16
0
0
0
2
0
0
0
0
0
0
0
1
1
1
8
8
24
24
24
0
16
0
0
0
0
8
1
1
0
0
0
8
8
8
0
32
1
1
8
8
0
0
0
0
8
0
0
0
0
0
0
0
8
16
16
16
16
8
4
0
0
0
0
16
16
16
12
12
12
0
8
0
0
16
24
0
0
0
0
12
8
4
0
16
16
0
0
0
0
0
2
2
0
6
0
0
8
0
0
16
0
0
0
16
0
0
8
0
0
0
0
0
16
1
0
0
8
0
0
0
16
16
16
4
0
0
0
0
0
0
0
0
0
0
0
17
17
16
16
0
0
8
40
40
32
0
8
0
24
0
0
20
4
0
0
0
0
28
16
16
16
16
0
0
24
8
4
4
4
4
16
16
4
4
4
4
4
4
8
8
0
16
0
0
0
0
8
8
4
4
4
16
16
16
16
16
16
0
0
8
0
16
12
12
4
4
1
24
0
4
8
20
20
20
8
8
0
0
8
8
56
0
0
24
24
24
0
0
16
16
0
0
0
4
4
0
0
0
8
0
0
8
8
2
0
0
12
24
24
24
24
24
8
0
8
0
0
0
16
16
8
8
16
0
0
0
1
8
8
0
0
1
0
0
8
8
0
16
0
0
0
2
0
8
0
0
0
0
0
0
26
26
8
16
16
16
0
0
0
0
16
8
8
0
0
0
4
4
4
4
0
0
0
0
8
8
8
8
0
0
0
8
8
16
8
0
0
0
0
6
16
0
4
0
0
0
0
8
0
8
0
0
32
4
4
4
0
0
0
0
2
0
4
16
0
0
8
16
0
0
16
0
13
16
0
0
0
0
0
0
0
0
16
16
0
8
8
16
8
4
4
0
0
0
16
16
16
16
16
16
16
16
16
16
0
0
0
0
0
2
16
0
4
20
2
8
16
0
0
0
8
8
8
8
0
8
32
0
16
32
4
4
4
0
0
0
0
12
12
12
0
8
0
12
0
0
8
8
8
8
8
8
8
8
8
8
0
0
8
9
9
0
0
0
8
8
0
0
1
4
4
0
8
19
19
4
8
8
0
24
1
25
8
8
8
8
0
0
0
0
21
21
21
8
8
17
4
0
8
0
0
4
4
4
4
16
0
9
0
0
57
0
4
4
0
8
0
0
0
0
0
0
0
16
16
0
0
1
8
0
0
0
0
0
8
0
8
0
2
8
16
16
2
0
16
16
0
0
0
43
43
2
1
0
8
8
8
0
0
22
2
2
48
0
0
8
8
16
4
0
0
0
8
2
20
0
0
0
0
8
8
16
0
0
0
0
0
2
4
2
0
32
0
0
0
0
4
0
16
2
16
0
0
0
16
16
0
0
0
16
16
8
8
8
0
0
28
16
16
16
0
0
0
0
8
0
25
16
0
0
8
8
18
8
8
8
0
0
0
0
0
0
0
0
0
16
16
0
0
1
0
0
0
24
4
0
0
0
24
0
4
0
0
0
8
0
4
0
4
20
0
0
20
0
50
0
0
0
0
4
0
1
0
28
0
0
17
0
0
1
0
16
8
0
0
0
12
1
0
8
8
8
0
0
33
24
0
0
0
0
16
16
16
8
0
0
0
0
0
8
8
8
8
8
8
8
8
0
8
4
0
0
4
4
4
2
3
8
25
0
16
8
8
0
0
0
0
25
0
20
0
0
16
24
16
0
0
0
0
0
0
0
0
0
0
0
12
0
2
2
12
0
0
0
0
0
0
0
0
0
0
2
0
0
0
14
14
0
0
0
0
0
1
0
0
0
0
16
16
8
8
24
8
0
28
0
0
0
0
24
24
24
0
0
32
0
0
0
0
9
8
8
16
16
0
1
0
16
2
0
0
32
32
32
0
4
0
0
0
2
2
0
0
34
0
60
0
0
0
0
35
35
0
8
2
0
0
0
8
8
8
0
30
0
8
0
0
0
0
8
8
0
0
0
0
0
0
0
16
0
8
0
8
0
0
0
8
1
0
0
0
0
8
0
0
16
0
0
8
0
0
0
0
16
0
0
16
8
16
0
0
0
1
4
4
4
8
0
0
0
9
24
0
16
16
16
0
8
0
8
0
4
8
8
17
0
0
0
0
37
0
0
0
0
8
1
1
4
0
0
0
1
0
0
16
0
0
0
14
14
1
0
0
0
8
16
8
4
4
0
0
24
0
0
8
8
8
16
8
0
8
0
0
0
3
16
16
0
0
0
0
0
0
8
1
4
2
8
1
8
0
0
0
1
0
8
8
0
8
0
8
0
0
4
0
2
8
0
0
6
24
24
24
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
4
4
0
0
8
8
1
0
0
0
0
0
32
16
0
0
0
0
0
0
0
1
1
0
0
8
0
0
0
0
8
16
16
8
16
16
0
0
24
0
8
0
0
0
24
0
0
0
0
0
0
1
10
0
0
16
0
16
12
8
24
24
0
0
0
0
16
0
0
0
0
0
2
0
16
18
18
18
18
18
0
8
4
0
0
0
8
8
9
9
32
32
0
16
0
0
0
0
4
0
0
1
1
0
4
0
0
0
8
8
16
16
16
8
0
0
0
20
0
0
0
0
2
20
0
0
0
20
2
2
2
0
0
0
0
0
0
0
8
8
0
16
16
2
0
8
16
16
8
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
24
24
0
0
0
8
0
0
8
8
24
4
4
0
16
0
0
2
0
24
24
12
0
0
0
2
0
8
16
16
1
0
16
16
20
1
0
8
4
0
0
8
0
0
0
17
8
0
0
0
8
2
0
16
0
0
0
0
0
16
0
0
8
0
4
0
8
8
0
0
4
0
0
0
0
0
0
32
8
8
0
0
0
0
0
8
0
8
0
16
0
2
2
2
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
16
8
0
0
0
0
0
16
0
4
0
0
0
0
0
24
4
0
0
0
0
0
0
0
8
4
4
0
0
0
0
16
4
8
0
16
1
0
0
8
0
8
16
2
0
0
8
16
1
0
0
0
0
8
8
4
0
0
16
16
8
0
0
1
8
0
0
0
0
0
2
8
0
0
20
0
0
0
24
8
8
0
0
0
0
4
4
1
0
0
0
8
0
0
0
0
0
16
16
8
0
0
0
8
0
4
16
16
16
16
0
0
16
8
8
0
16
16
8
0
8
4
0
0
4
0
0
4
8
8
0
0
0
0
0
1
0
16
24
24
0
0
24
0
8
0
0
2
0
0
0
0
0
2
0
0
0
0
0
16
4
0
0
0
0
16
8
0
16
8
18
8
8
8
0
0
8
0
24
8
0
0
16
8
12
0
0
0
0
0
1
8
8
16
0
32
32
32
30
0
0
0
8
0
0
0
8
0
0
0
0
0
0
0
0
0
0
4
8
0
16
7
7
0
0
4
0
16
0
0
8
8
16
0
4
4
4
4
8
8
4
4
0
0
0
17
8
8
8
24
8
8
8
8
0
0
0
0
12
12
0
0
0
0
49
0
0
0
0
0
0
0
0
0
0
16
1
1
1
1
8
8
8
0
4
4
0
0
0
0
8
8
8
0
0
0
16
2
0
0
16
16
0
8
0
0
0
0
16
0
0
24
0
0
0
1
1
0
0
32
10
0
16
0
0
2
0
16
0
1
0
0
0
0
0
6
0
0
6
0
0
0
0
0
0
0
0
2
0
0
16
8
8
0
1
0
0
0
2
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
16
16
8
0
16
4
1
0
24
0
2
2
2
16
16
0
0
0
32
0
0
0
0
0
0
0
0
0
0
4
4
4
0
29
29
0
0
2
16
0
0
0
2
0
0
0
0
6
6
8
8
16
8
8
1
8
0
8
8
0
0
0
4
4
0
1
4
8
4
0
24
0
0
8
0
0
2
2
2
0
0
4
4
4
0
0
16
16
8
8
8
8
0
0
0
0
0
8
8
16
0
4
4
4
0
24
0
8
0
0
2
8
16
8
0
8
0
4
0
0
0
16
8
0
4
0
8
0
16
16
0
0
0
0
4
16
4
4
8
8
0
0
4
0
0
0
0
0
0
8
0
0
0
1
1
0
0
0
16
2
2
2
2
0
0
0
0
1
0
8
8
0
0
2
0
0
17
17
0
16
0
0
0
0
0
0
0
8
8
0
19
0
0
4
8
8
4
4
16
0
32
4
4
0
0
8
20
0
0
8
0
9
16
12
0
0
0
0
0
0
0
4
0
0
0
0
0
0
4
20
0
22
0
0
0
0
0
0
16
16
0
0
8
0
0
0
0
0
0
0
16
16
56
0
16
8
8
0
0
0
0
0
0
0
4
0
4
0
0
10
0
0
0
8
8
0
0
0
0
4
0
0
1
1
1
1
0
0
0
4
17
23
0
0
16
16
0
0
4
8
8
8
4
0
0
12
12
0
0
8
8
0
0
0
4
16
0
2
8
0
8
8
8
0
0
0
8
8
8
8
8
0
0
16
2
0
8
0
8
16
16
16
0
1
0
0
17
17
17
8
0
0
8
0
0
0
0
16
12
12
12
12
8
8
2
0
0
0
13
0
0
0
0
0
4
0
0
0
1
0
0
0
0
0
0
8
0
0
24
8
8
8
8
0
0
0
0
0
24
24
16
16
0
16
8
0
0
11
0
0
0
8
0
0
16
8
8
0
0
0
8
8
8
8
0
0
0
0
40
4
8
0
0
0
0
8
8
8
4
4
1
1
0
0
0
0
0
0
16
16
16
16
16
0
16
16
16
0
0
0
1
2
0
0
8
8
0
0
0
1
8
4
2
24
0
0
0
8
0
0
0
0
8
0
32
0
8
8
0
0
0
0
0
0
2
0
3
4
0
0
0
16
16
16
16
0
8
8
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
1
4
0
8
1
0
0
0
0
0
0
0
8
4
16
0
0
0
0
16
16
16
1
0
0
4
8
0
0
0
2
0
36
0
8
8
0
0
0
1
0
4
8
0
2
0
0
18
0
0
0
8
0
0
16
0
0
0
0
0
0
8
8
24
0
0
0
0
0
16
0
0
16
0
0
0
0
1
6
0
8
8
8
0
4
2
2
8
8
0
8
8
0
0
0
0
0
8
0
0
0
0
0
0
0
8
0
0
0
16
0
0
0
0
8
3
0
8
32
0
16
0
0
16
16
0
1
0
0
8
9
0
0
0
16
0
0
0
0
0
8
0
8
16
0
0
0
17
0
0
0
4
4
0
0
8
0
0
0
0
2
2
8
0
8
24
16
0
16
16
16
8
8
8
8
0
0
8
8
16
0
8
0
16
16
32
0
0
0
24
0
0
8
4
0
14
0
0
0
0
0
0
8
8
8
8
29
4
0
16
0
0
8
8
8
4
32
0
0
0
4
0
16
16
16
0
4
0
4
16
16
16
16
0
0
8
0
16
0
8
0
0
4
0
0
8
0
0
1
8
10
0
0
16
16
0
0
0
16
1
1
2
0
1
1
24
8
8
8
1
8
2
0
0
0
0
4
16
16
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
1
0
0
0
0
16
0
0
0
4
4
0
2
0
9
8
24
0
0
0
0
0
8
0
0
0
0
16
16
20
0
8
0
0
0
16
16
0
4
0
4
16
16
8
16
0
0
0
0
0
24
28
1
4
8
0
4
8
1
0
0
0
8
0
20
0
0
25
16
16
16
8
0
0
0
0
0
0
16
0
0
0
0
0
0
0
8
16
0
0
0
16
4
4
4
4
4
0
0
0
8
0
12
12
0
4
4
0
0
8
0
8
16
16
16
32
0
16
2
5
0
0
0
0
16
16
0
0
32
0
0
0
8
8
0
4
8
0
0
0
8
8
8
0
8
1
0
8
24
0
0
0
0
0
8
20
0
4
8
0
0
0
0
0
0
0
0
8
2
0
24
0
0
1
1
1
16
0
0
8
0
0
4
4
0
0
0
0
0
8
8
0
0
0
0
0
8
8
8
0
16
42
8
25
25
0
0
16
16
16
0
0
0
14
14
8
8
0
0
0
16
0
0
8
0
0
8
0
0
0
1
1
1
1
1
0
0
8
0
0
0
4
4
4
0
0
0
0
0
0
0
0
2
20
0
26
26
0
0
8
61
4
0
0
0
0
16
0
0
16
0
1
1
16
16
0
0
0
2
0
0
0
4
4
8
8
16
16
0
0
0
8
8
0
0
0
16
16
0
8
16
8
1
1
0
0
16
1
4
4
4
4
4
16
16
0
0
0
1
8
8
4
0
8
8
0
0
0
0
0
0
16
16
8
0
9
8
8
0
18
1
1
1
1
1
0
16
0
16
16
8
20
0
0
0
8
0
2
8
0
0
0
0
8
0
0
8
0
24
24
24
16
16
0
0
4
0
0
8
9
4
4
8
0
2
2
16
0
8
8
8
0
4
8
0
0
8
1
6
4
0
8
0
0
0
0
8
0
0
0
0
0
0
0
0
0
8
8
8
8
0
8
8
0
0
16
16
16
16
0
0
0
16
0
0
8
1
8
8
16
27
0
4
4
4
0
0
8
4
0
0
0
4
8
8
8
8
8
1
0
4
16
0
0
8
0
0
4
0
24
0
8
0
8
0
2
0
0
8
16
8
0
0
16
16
16
0
8
29
29
0
2
0
10
8
2
0
0
0
8
16
0
8
8
24
0
0
21
0
0
0
0
0
8
4
0
0
4
0
5
0
8
0
0
0
2
3
0
0
0
0
0
8
16
16
0
0
0
0
0
8
0
4
4
0
0
0
8
0
0
0
8
8
8
16
16
24
0
0
0
8
0
0
16
8
8
0
8
0
8
1
1
1
0
4
4
0
8
8
0
0
0
0
8
0
0
0
20
20
0
0
0
16
1
0
4
0
32
0
8
8
0
16
8
0
0
0
0
8
8
0
0
0
16
13
1
0
0
0
0
12
0
8
0
8
8
0
8
8
8
11
11
8
8
0
0
0
0
8
4
0
8
2
2
0
0
0
0
8
8
24
4
0
0
8
8
0
1
32
8
8
2
0
8
2
1
0
1
4
8
8
8
8
8
0
0
0
24
16
16
16
16
4
4
16
0
16
0
0
0
8
0
0
0
0
0
4
21
0
16
0
0
8
17
0
8
25
25
0
26
26
26
26
0
8
4
8
8
0
0
8
8
0
0
16
0
16
12
18
0
17
8
8
0
8
8
0
2
0
0
0
0
8
0
0
4
1
0
16
8
0
8
16
8
0
0
16
16
8
18
18
0
8
8
20
0
8
8
0
0
0
0
24
1
1
16
16
16
16
1
1
0
0
0
4
8
0
16
16
0
0
0
8
0
12
8
8
0
0
16
0
0
0
0
1
4
8
4
0
0
0
0
2
4
4
0
0
2
10
10
0
0
4
0
0
0
0
0
0
8
1
1
1
1
16
8
8
2
8
0
32
3
4
4
0
0
0
24
8
8
8
8
8
0
1
1
1
4
0
0
0
8
8
40
0
0
0
8
8
8
0
42
2
16
2
24
8
0
0
0
0
0
0
0
16
0
0
8
0
8
0
0
8
2
2
2
0
0
32
8
0
24
0
16
8
0
0
0
0
16
1
0
0
24
16
16
16
16
16
0
0
16
0
0
32
8
0
0
8
0
8
0
0
4
8
0
0
0
1
0
0
0
0
0
0
8
24
0
0
2
2
0
0
0
0
0
2
0
0
1
1
8
48
8
8
8
0
0
0
0
0
0
16
2
0
12
0
0
8
24
24
24
24
0
8
0
8
52
0
0
8
0
8
8
1
0
0
16
0
0
24
0
0
0
0
0
0
0
32
4
4
4
4
4
12
0
0
0
0
0
16
8
8
8
18
8
8
8
0
0
0
0
30
30
0
0
0
4
4
0
8
0
16
8
2
4
0
0
0
24
24
24
24
0
4
16
16
16
16
16
16
8
8
0
0
16
8
1
0
4
8
4
0
8
8
0
8
0
52
2
0
4
0
0
8
8
0
0
16
0
2
4
8
8
0
0
0
0
0
16
16
16
16
16
16
4
4
4
8
8
0
0
0
16
0
0
16
0
8
0
0
16
0
16
16
0
8
0
4
8
4
4
4
8
0
2
1
32
0
0
24
0
1
0
16
0
22
8
1
16
20
0
8
0
0
0
0
1
8
0
0
0
0
0
0
8
0
8
0
0
16
0
8
0
0
0
0
0
4
20
20
20
20
32
32
8
8
4
8
0
0
0
0
0
0
8
0
0
2
0
8
8
8
8
8
8
8
8
8
0
0
4
4
4
0
0
0
0
0
0
0
8
8
0
0
0
0
0
8
8
0
8
18
16
0
16
0
0
0
0
1
1
1
16
8
0
16
16
0
8
8
0
0
0
0
0
0
0
4
24
0
0
0
8
8
4
4
12
0
0
0
2
4
4
1
0
0
0
0
0
0
0
0
0
0
0
4
8
8
24
24
8
0
8
8
16
0
0
0
0
0
16
0
4
4
16
0
0
0
0
0
8
0
12
12
12
0
2
1
1
0
2
8
0
8
41
41
4
0
0
21
0
0
0
0
2
2
8
8
0
16
16
49
5
5
4
0
16
16
0
1
0
0
0
8
0
0
17
1
16
2
2
2
0
2
0
0
0
0
0
0
0
16
0
2
0
8
8
0
0
0
0
0
16
16
0
0
0
0
0
0
8
0
0
4
16
0
16
8
0
8
8
0
8
8
8
8
0
0
0
8
0
1
16
8
8
0
2
2
2
2
0
0
0
0
8
40
0
0
8
1
1
16
0
24
0
0
0
0
2
2
2
0
0
0
0
0
0
16
16
0
0
0
2
24
1
0
0
1
0
8
0
0
0
0
0
40
8
8
16
8
8
8
0
28
28
4
4
0
0
8
8
8
24
8
1
0
0
0
16
0
0
0
4
8
8
0
0
0
0
0
1
1
0
0
0
8
8
8
0
0
8
4
0
1
4
1
16
16
16
16
16
0
0
0
0
2
2
2
0
0
0
0
8
9
4
16
0
8
8
8
0
8
0
16
8
1
1
24
8
0
8
8
8
24
0
8
8
0
0
0
16
16
0
0
24
0
0
0
0
0
8
0
2
4
8
4
4
8
8
8
8
16
0
28
28
28
28
0
0
16
16
0
0
8
8
2
8
0
0
0
0
0
0
0
0
2
0
0
0
0
17
17
8
8
8
0
0
0
16
3
8
2
2
2
9
0
48
0
0
8
8
20
20
0
4
8
8
4
4
0
4
16
0
0
0
0
16
4
8
8
8
16
16
16
16
0
0
0
16
8
1
16
1
1
0
0
4
4
2
8
8
8
8
8
0
0
0
8
0
0
16
0
0
0
4
4
0
8
8
32
0
3
3
8
17
0
0
0
16
4
4
4
8
0
0
0
2
8
0
0
0
0
0
8
2
8
8
8
0
8
8
8
0
0
0
0
8
0
0
0
0
8
27
26
24
0
0
0
8
0
0
0
2
8
0
16
16
47
12
0
0
0
0
12
20
20
8
20
24
0
0
0
0
0
0
20
20
20
20
16
8
2
16
0
0
8
0
8
0
8
0
8
4
0
0
0
0
0
0
0
0
8
16
16
8
0
0
0
4
28
0
4
4
0
4
0
22
4
8
0
0
0
0
1
0
0
0
8
0
8
0
8
0
4
16
0
0
1
0
0
0
0
16
0
8
8
0
0
8
8
8
8
22
0
0
0
0
0
2
22
0
0
0
0
0
8
8
0
0
0
0
2
0
0
0
0
0
16
0
0
0
0
0
2
4
0
0
0
0
0
0
8
0
0
0
0
13
20
20
24
8
0
0
8
0
0
0
8
24
24
4
4
8
0
8
0
0
42
4
1
8
8
0
0
0
0
0
0
16
0
0
8
16
0
0
0
0
1
0
2
0
0
0
0
3
2
0
0
8
0
8
0
0
0
16
16
0
0
0
0
0
0
0
4
4
8
2
8
0
0
18
24
0
8
8
8
0
0
0
0
0
2
8
6
0
0
16
0
0
4
0
8
0
0
0
0
0
37
37
0
0
1
2
0
0
16
0
16
16
0
8
8
0
0
0
0
0
0
0
0
8
8
4
16
16
16
16
0
0
0
0
0
0
8
8
0
24
4
8
8
0
28
28
8
0
0
0
8
0
0
4
0
8
0
16
0
0
8
0
0
0
16
0
0
0
0
0
16
1
1
4
4
0
40
0
0
0
0
0
0
0
16
11
2
4
8
8
8
16
0
0
0
0
0
0
0
0
0
12
0
0
0
16
0
0
0
0
8
0
0
0
0
0
0
25
1
0
0
4
16
16
17
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
16
0
4
4
0
0
0
0
0
0
0
32
0
2
0
0
0
8
8
0
8
8
0
0
0
0
0
0
16
8
0
8
48
2
16
2
0
16
0
0
20
0
16
16
16
16
16
0
0
0
2
0
16
8
8
0
0
0
48
0
0
0
0
2
0
0
0
0
0
0
16
16
0
0
0
0
4
8
0
0
0
16
16
24
24
8
0
0
0
0
0
0
8
0
0
0
0
24
0
0
4
24
0
4
4
0
0
0
8
32
0
0
0
11
11
32
24
8
0
0
0
0
0
0
17
0
0
0
0
8
0
25
25
16
16
0
8
32
0
0
0
0
0
0
0
0
0
2
8
8
0
16
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
16
0
32
0
3
3
3
8
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
28
0
8
8
8
8
8
0
0
0
2
0
1
0
8
24
24
16
16
0
0
2
8
0
0
1
1
0
0
24
8
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
7
8
0
0
0
0
0
0
0
0
1
0
16
16
8
0
8
0
0
0
0
0
8
1
0
0
0
0
18
0
0
18
18
18
16
0
0
0
0
0
2
0
0
16
0
8
16
2
16
16
0
0
0
0
0
0
0
8
8
4
0
0
0
0
0
0
1
0
8
16
0
0
0
0
0
0
0
8
8
2
0
0
0
0
0
4
4
16
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
8
0
0
4
0
0
0
0
8
8
12
12
12
12
12
32
32
18
18
2
0
0
0
4
1
8
0
0
12
0
0
2
0
0
0
4
0
8
16
16
0
9
0
0
10
10
2
0
0
0
16
0
0
0
0
0
0
0
16
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
24
24
0
0
4
8
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
8
4
0
0
8
8
28
4
0
0
0
0
0
0
0
0
16
8
0
8
0
0
4
16
0
0
8
0
0
0
16
0
12
16
0
0
0
0
0
0
0
0
16
0
0
0
0
16
0
0
0
0
0
8
0
1
24
24
0
0
10
0
0
0
0
0
2
2
2
2
0
0
8
52
4
4
4
4
0
8
0
0
0
8
8
0
0
0
8
8
8
8
8
0
0
0
0
0
24
0
8
8
8
24
24
1
4
4
4
0
0
18
0
0
0
0
2
0
0
8
0
0
8
0
0
0
32
0
0
4
2
1
0
0
0
8
0
0
4
0
0
0
0
2
0
0
0
8
0
0
16
0
0
17
0
0
0
0
8
1
8
8
8
8
0
10
8
8
0
0
16
0
0
0
0
10
9
10
32
0
0
0
0
0
0
61
0
0
0
0
1
16
0
2
2
24
0
16
16
16
0
0
0
34
34
16
8
2
8
0
4
32
1
0
9
0
32
0
0
0
24
1
0
0
0
0
8
0
0
8
8
0
0
2
0
8
0
8
0
8
10
10
8
46
1
0
1
0
2
2
0
8
0
6
0
4
0
0
16
0
0
0
8
0
16
16
0
4
0
1
52
0
4
0
0
0
0
8
8
2
0
0
0
0
16
1
2
0
0
0
0
16
0
0
2
0
0
0
0
6
0
0
20
0
0
0
0
1
0
8
1
0
0
8
1
16
4
2
2
2
0
0
0
0
0
0
0
0
20
20
0
0
16
16
32
0
0
0
0
0
0
8
8
4
1
32
0
0
0
0
16
0
0
8
8
0
0
0
0
0
2
0
3
0
0
0
4
0
1
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
4
0
0
12
12
32
0
16
16
4
9
0
8
8
20
0
0
0
0
0
0
2
8
0
4
8
4
0
0
8
8
1
1
0
20
20
20
20
16
0
8
0
0
25
25
0
0
4
1
1
1
1
0
0
0
4
4
0
0
0
0
0
0
0
0
0
0
0
4
0
16
8
18
2
8
0
0
0
0
0
0
0
2
0
21
16
0
0
16
0
0
0
8
16
16
8
0
0
12
12
0
0
0
0
8
2
2
0
0
0
0
2
2
0
0
1
1
0
4
0
0
0
0
0
0
8
8
0
0
8
0
9
0
4
0
0
0
0
0
0
7
1
2
8
8
0
0
0
2
2
0
0
0
10
8
0
16
0
0
2
2
2
0
0
0
0
6
4
2
2
0
0
20
5
16
16
0
0
0
8
0
16
0
8
16
16
0
0
0
0
1
0
0
0
0
0
0
8
0
0
8
0
0
0
0
4
16
0
52
16
0
0
0
0
0
0
8
0
4
0
0
0
0
0
0
0
0
0
0
1
1
0
0
20
6
2
0
0
2
0
0
0
0
0
0
12
57
0
20
4
18
0
0
24
0
0
24
24
1
0
0
0
8
0
0
0
0
0
0
0
0
0
16
0
1
4
8
8
4
0
0
0
0
2
2
0
8
0
16
2
8
8
0
0
17
17
0
12
8
16
0
0
16
16
0
0
0
0
0
0
0
0
0
20
16
16
0
0
17
2
4
4
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
8
8
4
8
8
4
4
0
0
0
0
8
0
0
0
0
0
0
0
0
0
16
16
0
8
8
0
0
8
8
0
0
8
0
16
16
0
0
0
0
1
2
2
0
8
0
8
0
0
8
32
0
0
0
0
0
0
0
0
8
0
0
0
8
8
16
0
0
4
16
0
0
0
0
0
0
0
0
2
0
0
8
0
0
0
0
0
2
24
16
0
8
0
0
0
0
0
8
8
8
8
0
8
0
0
0
0
0
0
0
8
1
0
0
8
0
0
1
32
0
16
0
0
25
0
8
8
0
0
0
9
0
0
0
0
0
2
0
0
0
0
0
0
0
0
8
0
8
16
8
0
0
0
0
0
8
8
0
16
16
0
0
0
0
0
0
0
0
0
1
0
0
2
13
2
2
2
8
2
0
0
0
0
0
0
18
0
0
0
0
0
31
0
0
0
0
0
16
0
25
0
0
0
0
0
0
0
4
4
0
0
0
0
0
0
0
0
0
0
9
9
0
0
0
0
0
0
0
4
0
8
0
16
0
0
0
0
0
0
0
0
0
0
0
18
0
0
0
16
0
4
0
8
8
0
2
2
0
0
0
0
0
0
0
0
0
16
16
8
8
1
1
4
0
0
0
0
8
8
0
0
0
0
0
34
0
0
0
24
0
0
18
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
16
0
0
4
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
8
0
0
8
0
0
8
16
0
0
25
25
25
0
0
0
16
24
16
17
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
8
0
1
0
2
4
0
0
0
0
0
0
0
0
8
8
8
0
0
0
10
10
0
0
0
0
0
0
0
0
0
0
8
0
0
8
0
0
0
0
0
0
6
0
0
0
0
0
0
0
0
16
1
1
1
1
1
1
1
1
0
0
0
0
0
16
0
8
0
0
0
0
0
0
0
8
0
0
0
3
0
0
0
0
16
16
0
0
0
0
0
0
16
32
16
0
0
0
0
4
0
16
0
0
0
0
2
0
0
0
0
0
0
0
0
16
0
0
0
32
0
0
16
0
0
0
0
0
0
0
0
8
0
4
0
0
24
24
21
21
0
4
4
0
16
0
0
0
0
0
0
2
1
1
0
0
0
0
0
8
8
16
17
17
0
0
0
36
50
0
0
0
0
0
4
16
0
0
0
0
0
0
8
16
16
0
0
0
0
0
16
0
0
0
0
0
0
0
0
8
16
0
0
0
26
4
0
0
16
16
0
0
8
0
0
3
0
0
8
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
24
2
12
2
2
0
0
0
0
16
16
32
0
4
0
0
0
0
0
16
0
0
0
0
0
0
0
0
8
8
8
16
16
16
16
0
0
0
0
33
0
0
0
23
0
17
17
0
0
0
0
0
0
0
20
0
2
0
0
0
0
4
4
0
24
0
0
8
0
0
1
1
1
2
0
4
8
0
0
0
0
0
0
0
0
16
0
0
4
0
0
0
48
0
4
0
0
0
4
4
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
30
0
0
0
0
1
10
0
0
8
16
16
1
0
16
16
0
24
0
0
0
0
0
0
0
0
0
0
16
0
0
0
2
0
0
0
8
16
8
0
8
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
16
16
16
16
16
16
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
16
4
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
8
0
0
16
1
0
0
0
0
0
0
0
4
0
0
8
8
16
0
0
0
0
0
0
17
0
0
0
16
16
8
16
0
0
0
0
16
40
0
0
0
1
0
0
0
0
0
16
16
16
16
16
16
16
16
0
0
0
0
0
14
14
8
2
0
0
17
8
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
4
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
4
8
0
0
0
0
7
7
8
0
0
0
0
0
14
2
0
0
1
1
1
0
0
0
0
0
0
0
0
8
0
0
40
0
0
0
0
24
24
0
0
8
0
16
2
2
16
2
0
32
0
0
0
0
0
0
8
8
1
1
8
8
0
8
0
0
16
16
0
0
0
0
0
0
0
0
0
20
0
0
0
0
0
0
2
16
0
5
8
8
8
0
0
17
0
0
4
0
0
0
0
0
0
0
8
8
0
0
16
0
1
0
0
1
0
0
16
0
24
24
0
0
0
4
0
0
0
4
0
2
8
8
0
0
0
0
0
0
8
8
0
16
8
0
0
0
0
0
0
0
16
4
0
0
0
0
25
0
8
0
0
0
0
0
0
0
0
0
0
8
8
8
4
0
2
2
0
0
0
0
0
0
16
8
0
0
0
0
0
0
0
0
0
0
0
8
16
0
8
0
10
0
0
2
0
0
4
0
0
4
0
0
0
0
0
0
0
0
1
1
25
25
0
0
0
16
16
0
0
0
0
16
18
0
0
0
24
0
0
1
1
0
0
16
1
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
2
1
1
16
16
0
0
0
0
2
0
0
0
40
40
17
8
4
4
4
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
21
21
0
8
0
0
0
0
0
4
0
0
0
0
0
9
8
0
1
0
0
0
0
0
12
4
16
0
0
0
0
8
8
16
0
0
0
0
0
14
0
4
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
2
2
0
0
0
0
0
0
0
16
0
0
0
20
20
0
0
0
16
0
0
0
0
0
0
0
8
8
0
0
8
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
2
0
0
0
0
16
20
0
0
0
0
1
0
0
0
0
8
6
0
0
0
0
22
0
0
0
0
0
0
0
0
0
0
0
0
4
26
0
16
16
0
0
0
0
22
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
1
4
8
8
8
8
8
16
16
0
12
12
16
16
0
0
0
0
0
4
0
0
0
0
0
8
0
0
16
16
0
0
0
0
0
0
0
0
8
0
0
0
6
0
0
8
8
8
0
0
0
0
0
0
0
0
8
0
12
12
0
20
20
20
0
8
0
4
0
0
0
0
0
0
0
1
0
8
25
0
0
0
0
0
8
8
0
16
0
0
18
18
0
0
0
0
0
0
0
0
0
0
0
24
24
0
0
0
0
0
0
0
0
0
0
2
0
14
0
0
0
16
16
0
8
8
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
2
1
0
0
0
0
0
0
0
0
16
16
0
16
16
8
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
8
8
8
8
0
0
16
4
0
0
0
8
8
0
0
8
0
0
0
0
2
16
0
16
0
8
0
0
8
8
0
0
1
1
1
0
0
2
2
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
8
8
22
22
9
8
8
1
0
16
0
1
0
0
0
0
1
1
0
0
0
0
1
8
0
0
0
8
8
8
0
0
24
4
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
8
8
0
0
0
0
1
1
0
0
0
0
0
8
0
0
8
8
8
0
33
0
0
0
4
4
0
0
0
12
0
0
0
0
0
0
0
0
24
0
0
8
8
0
0
0
0
0
17
0
4
0
0
0
0
0
2
0
0
0
0
0
1
2
0
11
0
1
0
0
16
0
0
13
0
0
0
0
0
0
0
0
0
8
16
4
4
0
0
20
16
8
8
0
0
0
0
0
8
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
8
0
1
1
4
0
0
16
0
24
0
0
20
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
18
16
0
16
16
0
0
0
0
0
1
1
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
16
16
16
16
0
0
0
8
8
0
0
0
0
0
0
16
8
0
0
0
8
16
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
16
8
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
16
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
8
0
0
0
8
0
0
8
0
4
0
0
0
20
8
8
8
0
0
16
0
0
0
0
0
4
0
0
0
0
0
8
8
0
34
0
0
0
0
0
16
8
0
9
8
1
0
0
1
0
0
16
0
0
8
0
13
13
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
16
0
0
0
0
0
2
0
0
0
0
0
16
16
16
0
0
0
0
8
8
0
0
0
0
0
0
8
0
0
0
0
16
8
8
0
0
1
1
8
8
8
0
0
0
0
0
0
0
2
0
22
8
0
0
0
0
0
16
18
2
0
0
0
0
0
12
12
8
0
8
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
1
4
1
0
0
1
0
0
0
0
0
0
0
0
1
0
34
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
12
12
0
0
0
40
0
0
0
0
0
0
2
8
10
8
8
0
0
0
56
56
0
8
0
0
0
0
0
0
0
32
32
0
0
0
0
0
0
16
28
0
0
8
0
0
0
0
0
4
0
0
0
8
0
2
2
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
18
20
0
0
0
0
0
1
0
8
8
0
2
0
0
0
0
0
0
0
0
0
0
0
0
20
0
0
0
0
16
2
2
1
1
1
1
1
16
16
0
0
16
16
0
8
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
1
8
0
0
4
8
0
0
4
0
16
1
8
8
8
0
50
50
0
2
8
0
0
0
0
0
8
24
0
0
0
0
0
0
0
0
0
8
0
0
16
0
10
0
0
0
0
0
8
0
8
0
0
0
8
20
0
32
0
0
0
16
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
24
0
0
0
16
0
0
0
0
0
0
0
1
1
4
1
0
0
0
1
0
0
0
0
8
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
8
0
0
0
8
8
8
8
0
16
16
0
12
0
0
16
0
8
8
0
0
0
0
0
0
0
8
0
0
0
0
0
16
8
0
0
0
0
0
0
8
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
8
8
0
0
0
4
0
8
0
0
0
16
16
0
8
0
8
0
0
0
0
0
0
0
0
0
0
0
22
12
0
0
0
0
0
0
8
24
24
0
0
0
0
0
0
0
0
0
4
4
2
0
0
0
16
40
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
18
0
0
0
0
4
0
0
1
32
0
0
0
6
6
6
34
25
0
0
1
0
4
4
35
4
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
8
8
0
0
7
2
2
8
18
18
4
2
2
0
0
8
0
0
0
0
0
16
8
0
8
0
4
0
8
0
16
0
0
0
0
0
16
0
0
0
0
0
0
2
0
0
0
0
0
0
8
0
0
0
0
0
4
0
25
0
0
8
0
0
0
8
8
8
16
0
0
0
0
0
0
41
0
40
0
0
0
0
0
0
16
16
0
16
4
16
0
32
12
0
8
8
0
0
20
0
8
2
2
2
2
0
0
16
24
16
0
4
0
8
8
0
0
8
0
0
0
0
16
8
8
2
0
4
4
0
0
0
8
8
0
0
0
1
1
1
8
16
16
1
1
1
0
0
0
10
2
2
0
32
16
8
8
0
0
0
0
0
0
0
16
0
0
0
0
0
2
2
0
0
8
0
0
4
0
0
0
2
0
0
0
0
0
0
0
0
0
7
8
8
8
0
0
0
0
0
0
0
14
0
2
2
8
8
0
0
0
0
0
0
0
0
0
19
24
0
0
0
0
1
16
8
8
0
1
1
1
8
8
8
8
8
0
16
0
0
0
8
0
8
8
16
4
12
8
0
0
0
0
1
16
0
0
8
16
16
0
0
0
0
0
0
0
8
0
0
0
0
0
1
0
8
0
4
0
0
8
8
0
0
0
0
8
4
1
16
0
0
0
0
16
0
0
8
30
0
0
8
2
16
8
8
12
4
4
0
8
57
0
0
0
0
0
0
0
0
16
0
0
0
0
12
12
0
4
0
0
0
0
8
0
0
0
0
0
2
2
4
0
16
0
0
0
0
0
40
8
0
0
0
0
0
0
0
8
0
0
0
8
18
4
1
0
0
0
0
0
0
0
0
0
0
0
0
40
40
40
0
0
0
0
0
0
8
8
8
2
16
0
0
16
8
0
0
0
16
0
24
8
4
4
0
0
0
0
8
8
8
0
8
0
0
0
8
5
2
0
16
0
0
0
9
1
0
8
0
0
0
0
0
0
0
0
12
12
16
8
8
0
0
8
4
8
0
0
0
0
0
0
0
12
12
8
4
16
16
2
8
8
8
32
32
0
0
4
8
8
8
0
0
8
8
0
0
0
12
16
8
0
0
2
0
8
0
0
2
0
0
0
0
18
0
0
1
1
1
16
0
20
8
8
0
0
2
0
0
0
0
8
8
17
1
8
8
8
0
0
1
0
0
0
0
0
0
16
8
0
0
8
16
0
4
16
0
0
0
8
0
4
0
8
0
0
16
0
1
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
8
0
0
0
34
16
8
8
8
16
48
0
16
8
0
0
0
0
0
0
0
0
0
0
16
0
0
0
24
0
0
24
0
0
16
0
0
0
24
0
0
0
0
0
8
8
4
4
16
0
8
8
0
0
0
0
8
16
16
16
16
0
0
8
2
0
0
4
0
8
0
1
1
0
0
0
0
8
16
0
0
1
0
8
0
0
8
0
0
0
16
16
8
8
8
8
8
8
0
8
0
2
0
0
0
0
0
8
0
24
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
4
32
0
0
0
0
8
8
24
0
8
0
1
1
0
0
0
0
8
0
0
0
8
0
0
0
8
8
0
0
0
8
8
8
0
16
16
1
0
8
0
0
0
0
32
32
8
0
0
0
0
0
0
8
8
8
8
8
8
8
0
8
0
0
0
0
0
0
8
8
0
8
0
18
0
0
0
0
2
0
0
2
0
0
0
4
4
0
1
1
0
0
0
4
8
4
0
0
8
4
4
4
0
0
16
0
32
0
0
59
1
1
1
8
0
16
0
1
1
2
2
0
0
0
1
4
0
8
8
0
0
0
0
12
0
0
0
0
0
8
0
0
2
2
1
1
0
32
4
0
0
0
8
8
0
8
16
16
12
16
16
1
0
0
4
16
0
0
0
0
8
0
0
0
0
0
0
16
0
1
0
0
0
0
0
0
8
0
0
0
0
16
0
20
8
8
0
0
0
0
0
0
0
0
1
0
1
0
0
16
0
0
16
0
0
0
0
0
0
25
28
28
0
0
8
8
0
16
8
0
0
0
0
0
8
8
0
20
20
0
0
0
0
8
0
8
0
32
32
0
8
8
0
20
8
0
0
8
8
8
8
4
0
0
24
20
0
0
0
0
0
8
0
16
4
0
0
0
0
0
0
8
0
0
4
4
8
0
8
0
0
16
16
16
16
16
0
8
2
0
0
0
0
0
8
1
0
0
16
0
0
8
0
0
8
0
0
8
4
16
16
16
8
5
0
8
8
0
8
1
1
0
16
24
0
0
0
3
3
3
3
8
0
5
0
8
0
0
0
12
16
0
16
0
0
1
1
1
0
8
0
0
8
4
0
0
0
8
16
8
0
0
0
8
2
0
8
8
0
0
0
0
0
8
0
0
8
0
0
0
0
0
0
0
0
0
0
16
8
8
0
0
0
0
0
0
0
0
16
16
16
20
16
0
8
19
0
8
0
0
0
0
48
0
16
16
0
0
0
0
8
0
0
8
0
0
0
0
0
0
16
16
16
8
4
2
16
16
0
16
16
16
0
16
4
4
0
0
0
0
58
58
8
0
0
0
8
8
0
2
2
0
0
0
8
8
0
0
0
0
0
16
8
8
0
1
1
0
0
0
0
16
16
16
16
8
8
0
0
0
0
0
0
4
4
4
11
11
11
8
8
0
8
24
24
24
32
4
4
20
0
48
0
8
1
0
2
2
0
0
0
24
0
8
2
1
0
0
8
2
2
17
18
18
18
18
7
7
8
8
0
8
4
4
8
8
0
4
4
0
0
0
0
0
0
0
0
0
0
16
8
52
4
4
4
4
8
8
8
0
8
0
1
8
0
8
0
0
0
0
2
21
0
0
0
0
0
0
0
4
0
0
0
0
8
0
0
0
8
0
0
0
0
0
8
10
16
0
0
16
16
2
16
0
0
16
0
0
0
0
0
4
0
0
0
8
0
0
0
4
4
0
0
0
32
32
0
0
0
0
0
0
16
24
24
16
16
16
8
0
0
16
8
0
0
0
19
19
19
19
4
4
32
0
1
0
8
0
32
4
4
1
1
0
0
0
1
17
8
0
0
10
0
16
12
12
12
0
24
0
18
18
18
18
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
4
0
0
8
0
0
0
0
0
0
16
0
0
20
4
0
8
8
4
0
0
2
2
0
0
0
0
0
0
2
0
16
0
0
0
10
10
10
0
8
0
0
0
0
0
0
2
2
2
2
8
8
0
28
0
0
48
0
8
8
8
12
0
0
0
16
9
0
16
0
0
0
0
0
0
32
32
0
28
0
0
0
34
34
16
0
32
32
12
0
0
0
0
8
0
12
4
0
0
32
4
4
0
8
8
2
2
2
2
26
0
2
2
2
8
8
0
0
0
0
0
0
0
3
18
18
8
16
0
0
8
0
0
0
0
0
0
0
8
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
2
8
4
0
0
8
0
0
2
1
0
16
0
8
0
0
1
1
1
16
0
4
0
0
8
1
1
0
0
0
0
0
0
0
16
0
4
8
8
0
0
0
0
0
0
8
32
0
8
0
0
0
0
0
4
4
2
2
0
16
0
16
16
0
0
0
0
4
4
0
3
3
0
0
0
0
40
0
1
0
0
0
12
16
0
0
4
1
1
2
2
0
0
0
8
24
0
0
0
0
0
0
0
16
0
0
0
8
0
8
8
0
0
8
1
0
4
8
1
0
0
16
0
0
0
24
24
0
0
8
8
0
0
0
16
16
8
6
0
16
40
40
32
2
2
2
0
8
0
1
24
0
0
0
8
2
8
0
0
0
0
0
0
16
8
0
0
0
9
0
16
8
0
0
16
8
0
0
16
16
8
8
16
0
0
16
0
8
8
8
0
0
8
0
0
0
0
18
18
16
26
0
0
16
0
0
0
8
0
0
0
0
4
0
0
0
0
16
18
18
0
0
4
4
0
0
8
8
19
19
0
0
0
8
0
0
0
0
0
16
0
0
5
5
8
0
0
0
0
0
0
16
2
2
4
16
0
32
16
16
0
0
2
0
32
0
8
0
1
0
0
0
0
0
0
0
0
0
0
0
1
8
8
8
24
24
0
0
2
0
0
0
8
0
60
0
0
0
0
0
0
0
0
0
0
0
56
16
16
16
0
0
0
0
0
20
9
0
0
0
50
0
0
0
0
0
0
0
0
0
0
26
26
0
12
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
8
0
0
24
0
0
1
0
0
16
0
0
8
8
8
0
8
20
0
0
8
16
0
16
0
0
0
0
0
0
2
8
0
8
24
4
4
16
16
24
0
8
8
8
8
8
0
0
0
0
0
0
0
0
32
4
0
0
0
0
0
16
0
0
8
16
0
0
16
16
16
24
8
0
0
0
4
0
0
0
24
8
0
16
0
0
0
0
0
8
8
8
0
24
24
0
0
0
0
0
0
24
1
0
0
17
0
0
0
0
0
0
0
0
0
0
0
0
0
24
16
16
16
16
16
16
16
0
32
0
0
2
2
0
0
0
0
0
0
0
0
0
0
0
32
0
8
8
16
0
32
0
32
32
8
8
0
16
16
0
16
8
8
20
0
0
0
0
0
2
2
4
0
0
0
2
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
8
0
0
0
0
0
0
0
8
16
16
0
8
8
8
8
8
0
2
2
2
0
24
12
21
0
0
17
0
0
0
2
0
0
8
8
0
0
0
0
0
32
32
0
8
0
0
0
0
0
0
0
0
0
8
0
8
0
0
8
8
24
0
0
8
16
0
0
0
0
0
0
0
16
0
0
24
0
0
0
16
0
0
0
0
0
0
0
2
0
0
16
0
4
4
43
0
0
16
8
8
8
0
0
0
0
0
8
2
4
0
0
0
0
0
0
8
8
8
4
0
8
8
12
0
16
0
0
0
0
40
4
0
0
0
4
24
8
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
16
2
2
0
0
0
12
8
8
0
0
8
0
0
0
16
0
0
16
0
8
0
0
0
16
16
0
0
0
0
40
4
8
8
40
40
9
0
4
0
0
16
2
2
2
0
0
0
24
0
8
8
8
0
0
0
0
0
0
8
8
0
0
0
8
16
20
4
2
16
0
0
0
0
8
0
0
0
0
0
0
8
4
16
4
4
8
20
0
9
9
0
0
0
3
16
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
4
0
0
0
0
0
16
16
16
4
4
0
8
4
0
0
1
1
0
5
0
2
0
0
0
0
0
0
0
0
0
0
0
0
4
0
16
16
16
16
0
24
8
0
16
0
0
0
0
0
0
0
0
0
0
8
0
24
0
16
16
0
16
0
16
0
0
0
0
4
16
16
0
2
0
0
0
0
4
8
0
0
8
0
0
4
0
0
0
8
8
0
8
0
0
0
8
8
0
0
0
0
0
41
0
0
0
0
0
0
0
0
0
8
60
8
8
8
0
2
0
0
0
0
8
8
0
1
33
33
19
8
0
8
0
0
0
0
0
8
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
8
0
0
0
16
1
0
10
9
0
0
0
0
0
8
0
16
16
0
33
0
6
0
0
0
0
8
8
8
0
0
0
16
0
11
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
8
0
0
8
8
0
8
8
8
0
8
8
0
33
0
0
4
4
0
0
0
0
10
2
0
16
16
3
2
0
0
0
32
9
0
0
0
16
0
0
0
8
8
8
8
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
16
0
0
24
24
0
0
0
1
0
0
0
8
0
0
0
16
16
0
0
0
4
4
0
0
0
0
0
0
0
0
16
0
8
16
12
0
0
0
0
0
8
0
0
0
0
0
0
16
0
0
24
2
0
0
8
8
8
0
16
17
0
16
8
0
16
0
0
0
0
0
16
16
0
16
16
0
20
0
0
0
0
0
16
16
16
0
0
0
0
0
0
0
0
8
16
16
4
0
2
2
2
0
8
8
8
8
0
0
0
0
0
0
0
0
0
16
16
16
16
16
16
16
16
16
0
8
0
0
0
1
8
16
0
0
0
6
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
4
16
0
0
0
16
16
4
0
24
0
0
0
0
8
0
0
0
1
0
20
16
0
0
0
0
0
16
0
0
0
22
8
0
16
0
0
0
0
0
16
0
8
0
6
0
39
0
0
8
8
6
6
6
0
4
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
4
1
1
0
0
0
16
0
0
0
0
2
0
0
1
1
0
0
4
0
8
0
4
8
0
0
0
0
0
1
0
0
0
0
0
8
8
24
24
8
8
16
28
12
0
0
0
0
0
0
0
0
4
8
8
8
0
0
1
8
0
0
0
0
0
0
0
2
0
0
0
0
0
55
2
2
2
2
0
0
0
0
0
0
8
8
0
16
16
0
0
0
0
8
24
8
8
16
0
2
0
0
0
0
0
0
0
0
0
16
16
0
2
2
2
0
0
0
0
0
0
0
0
0
1
20
0
0
0
0
0
0
0
0
0
16
0
4
9
0
0
0
0
0
0
0
8
17
17
16
16
0
0
0
12
0
8
10
0
0
0
0
2
2
2
2
16
4
2
16
8
0
16
0
0
9
0
0
0
0
0
0
0
0
9
16
0
0
0
0
0
8
0
0
0
16
0
0
0
0
0
8
0
8
8
18
0
2
0
8
3
8
8
0
16
16
16
16
0
0
0
0
0
0
0
0
0
0
8
8
8
8
4
0
0
28
0
0
0
8
8
0
3
0
0
4
4
2
4
0
12
8
0
8
0
0
0
0
0
0
0
0
0
8
0
2
2
0
8
16
16
0
0
0
3
17
0
0
8
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
18
0
0
0
0
0
8
16
0
0
0
0
0
0
0
33
33
0
4
0
2
8
0
0
0
0
8
0
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
8
2
0
0
0
8
0
0
9
9
0
0
8
0
0
0
1
0
8
8
8
1
1
1
0
0
16
0
0
0
0
0
0
16
0
0
0
0
8
16
16
0
0
0
0
0
2
0
0
0
4
4
0
0
0
0
0
0
20
0
0
4
0
0
0
8
9
0
0
0
16
0
0
0
0
18
0
2
8
0
0
0
0
16
16
36
36
16
16
0
0
0
8
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
2
2
8
0
8
0
0
0
16
1
0
0
1
0
4
0
8
0
0
0
8
0
0
8
8
10
8
8
0
24
24
4
0
16
0
4
24
0
16
0
0
0
0
0
8
1
0
0
0
0
0
0
0
8
0
0
8
0
0
4
4
0
0
0
0
16
16
8
0
1
0
0
0
0
8
0
8
0
0
0
8
26
0
8
0
0
0
16
0
2
0
8
0
0
0
0
0
0
0
8
16
0
0
0
40
0
9
8
8
8
0
0
18
18
0
0
0
0
0
0
16
0
0
2
8
8
12
24
0
0
2
2
0
0
0
0
0
4
0
0
0
8
8
0
1
0
0
1
0
0
0
0
32
4
0
1
0
0
19
1
0
16
0
0
0
0
0
0
20
0
0
0
21
0
8
8
0
0
8
0
4
0
0
16
8
16
2
0
8
8
4
4
16
0
7
0
0
4
0
1
1
8
0
0
0
0
8
16
0
31
0
0
0
16
0
3
3
2
0
16
16
0
1
0
0
0
0
2
0
16
0
0
0
0
16
8
1
1
0
0
0
0
0
0
8
8
4
16
0
28
0
0
16
0
8
12
0
0
16
16
0
0
0
0
0
0
0
16
0
8
16
16
0
0
0
0
0
0
0
0
0
0
0
24
0
4
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
14
8
0
0
0
0
16
16
18
4
8
8
16
0
8
20
25
0
0
0
16
0
4
4
4
2
0
0
0
0
16
0
0
0
0
40
40
0
0
2
0
0
16
0
8
8
0
0
0
0
8
4
4
8
8
6
0
0
0
0
0
0
0
0
0
0
2
4
0
1
0
0
0
0
0
0
0
0
43
0
0
0
0
20
0
0
0
8
8
32
8
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
4
0
0
0
0
0
16
8
0
0
0
0
0
8
8
0
0
8
0
0
0
0
0
0
4
8
0
0
0
16
0
8
8
8
0
0
0
0
0
8
8
0
0
0
8
8
0
0
0
8
8
8
0
0
0
8
0
0
0
17
48
0
0
8
0
0
0
0
6
2
0
0
0
0
16
16
0
0
8
0
4
24
0
0
0
0
0
0
0
16
0
8
12
0
0
0
0
0
8
4
4
2
0
0
8
8
8
8
8
8
16
35
35
0
0
12
6
1
0
0
0
0
0
8
0
4
8
8
0
0
0
0
4
8
5
16
16
0
0
0
0
0
0
29
0
32
8
0
0
0
0
8
0
4
4
0
0
0
0
0
0
8
8
8
8
8
16
16
16
16
8
0
0
0
0
0
5
1
8
0
8
8
8
8
0
0
0
0
0
62
62
62
0
0
0
0
0
0
16
20
0
0
0
0
0
18
16
16
4
8
0
0
0
0
0
0
0
0
0
0
16
0
0
16
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
16
0
0
8
0
0
0
2
0
16
0
0
0
0
0
8
8
0
48
32
2
4
4
0
16
0
0
0
0
0
0
4
0
8
0
0
0
17
0
1
0
1
8
0
0
0
0
16
0
0
0
0
0
8
0
8
0
0
0
0
0
4
8
2
0
0
8
0
0
8
0
0
2
0
0
0
0
0
4
4
16
16
16
8
32
16
16
57
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
33
16
16
16
0
8
4
53
0
0
1
1
0
0
0
32
2
0
0
0
16
0
0
0
16
3
3
16
0
0
0
0
0
8
8
2
0
0
0
4
0
0
0
0
0
1
0
0
0
0
0
0
16
0
0
0
0
0
8
9
0
0
0
0
0
0
0
0
8
0
16
16
16
0
0
0
4
0
0
0
8
0
1
0
0
8
0
0
8
0
0
2
2
32
0
2
2
1
16
0
0
0
0
0
0
0
0
8
8
0
4
0
0
16
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
4
4
4
8
2
8
0
0
8
12
20
0
24
8
8
1
0
1
12
0
0
0
0
16
16
16
16
16
16
0
0
0
24
8
8
10
0
0
0
0
0
16
16
0
0
0
0
4
0
8
1
1
4
0
0
0
8
8
0
0
8
0
0
0
16
16
0
1
12
0
0
0
0
0
0
0
8
24
4
0
16
0
16
8
8
0
0
16
2
2
2
2
4
4
0
8
0
0
0
0
0
0
0
0
0
16
16
2
8
1
0
8
0
9
0
18
18
0
0
0
16
0
12
0
0
0
0
0
24
0
2
8
12
0
0
0
8
0
0
0
8
0
0
8
8
8
16
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
8
8
0
0
0
0
0
0
4
0
0
0
0
0
0
16
16
16
0
0
0
0
8
16
0
0
0
0
0
0
8
0
0
24
8
0
0
0
2
0
0
0
0
0
0
0
0
10
30
30
0
8
8
16
1
0
0
0
0
0
0
0
0
0
0
0
8
2
8
0
0
32
32
4
0
8
8
0
0
4
4
2
2
2
8
0
0
8
0
24
0
8
8
8
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
1
0
0
8
32
0
0
0
0
0
24
0
22
22
0
0
4
4
0
4
0
0
0
0
0
8
8
9
16
40
0
1
10
0
4
0
0
0
0
0
0
6
0
8
0
0
4
8
0
0
0
0
0
7
0
0
0
4
4
1
0
1
20
0
0
0
0
8
0
0
0
0
0
0
4
0
0
8
0
0
8
8
16
0
0
0
2
0
0
0
0
0
20
12
0
0
0
8
8
8
0
0
0
32
0
0
0
0
0
0
8
0
16
8
16
16
0
32
32
0
0
0
0
8
16
8
0
0
60
60
4
0
0
0
8
2
32
8
0
4
0
0
16
0
0
8
0
0
0
0
0
16
16
0
0
0
0
34
34
0
0
0
8
8
0
0
0
0
0
8
8
8
0
0
0
8
8
8
0
0
0
0
16
8
0
4
4
0
20
0
8
25
0
0
0
0
0
8
0
8
16
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
8
0
0
8
2
0
0
8
0
8
8
16
0
0
0
0
0
4
20
0
0
2
16
0
0
8
8
16
0
18
8
8
8
24
0
0
0
0
12
0
0
0
0
0
2
0
16
16
16
16
0
0
0
0
16
8
17
7
0
12
0
0
0
16
0
0
4
0
0
0
0
2
2
2
0
0
0
48
0
2
8
0
0
0
0
2
0
0
0
0
0
0
0
0
16
32
1
4
8
16
16
16
0
0
0
0
0
0
0
5
5
5
20
0
7
0
0
8
0
2
2
2
0
0
0
0
8
8
0
0
0
0
0
0
8
16
0
0
8
0
0
0
16
8
8
16
0
0
0
1
0
0
32
0
0
0
8
0
0
9
16
8
8
0
2
0
12
8
8
0
8
16
0
0
0
0
0
2
0
0
0
0
4
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
8
8
8
0
0
0
8
1
0
8
2
8
0
16
0
0
16
16
0
20
8
0
8
16
0
0
16
16
2
8
0
0
8
8
8
0
0
0
16
16
16
0
8
8
0
0
0
0
0
8
0
0
0
8
8
62
0
0
0
24
0
0
12
0
8
0
8
8
8
0
0
0
24
1
0
0
0
9
0
8
4
16
0
0
4
0
0
0
0
1
1
1
0
0
0
20
20
0
0
22
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
16
20
0
4
0
0
10
2
12
0
0
4
0
16
8
20
6
6
6
0
20
0
0
0
0
0
0
20
8
0
0
0
0
19
19
16
0
0
24
8
0
2
0
8
8
16
0
0
1
16
24
0
0
0
0
8
0
16
0
0
0
0
0
20
8
2
0
0
0
8
0
0
0
0
8
8
0
12
12
7
0
0
0
0
16
0
2
2
0
0
0
4
18
4
0
4
32
0
8
8
0
0
0
0
0
4
0
0
1
0
0
0
0
8
0
0
0
0
8
2
8
0
0
5
0
0
0
0
32
8
16
0
0
0
0
0
0
5
5
0
4
4
4
0
8
0
2
1
6
0
0
0
0
17
0
2
16
0
32
0
8
0
19
4
16
0
0
0
0
0
4
16
49
8
0
8
8
0
0
0
0
0
0
16
0
16
16
16
0
0
16
0
0
0
0
0
0
8
0
0
8
0
0
0
4
0
16
0
0
0
16
0
0
2
2
0
8
0
0
0
0
0
1
16
0
2
2
0
0
0
0
8
0
0
0
0
0
1
8
0
0
0
0
8
0
16
0
0
8
24
0
0
0
0
0
0
2
0
0
8
0
0
0
8
16
16
16
1
1
0
4
0
0
0
0
0
0
0
0
0
32
0
1
0
0
0
0
0
16
0
0
0
0
18
0
0
16
1
16
4
0
0
8
8
16
0
0
0
4
0
8
0
0
0
0
0
0
1
0
0
16
0
8
8
32
0
8
10
8
0
0
8
0
0
0
0
0
8
0
0
25
25
25
0
16
20
0
0
8
0
0
0
0
0
16
2
0
0
8
16
16
16
0
0
0
0
0
16
0
16
16
1
0
0
8
8
16
0
8
0
16
8
8
8
0
8
0
0
0
0
0
0
8
0
16
0
0
8
16
16
16
6
0
0
0
0
16
1
4
0
0
8
17
1
0
0
0
0
8
8
8
0
0
16
0
0
0
0
0
8
8
8
16
0
0
8
0
12
0
0
4
0
0
0
0
24
0
0
0
8
0
8
0
0
0
0
1
8
0
2
12
0
4
0
0
0
16
2
0
16
0
0
0
0
26
26
26
0
8
8
0
0
0
0
0
0
0
0
0
0
8
8
1
0
8
8
0
1
1
1
1
0
0
8
4
1
0
0
0
0
16
16
16
0
0
0
0
0
2
0
0
0
12
16
0
0
0
0
0
0
0
0
24
8
8
8
16
1
4
0
6
16
1
0
0
0
0
1
8
8
0
0
0
0
0
4
0
0
0
0
0
0
0
0
16
16
1
16
4
0
0
0
16
0
0
0
24
4
1
1
4
4
0
8
8
0
16
0
0
8
0
0
8
0
0
0
0
9
1
8
0
0
4
0
0
0
0
8
8
0
0
0
0
0
0
0
16
16
16
16
16
0
0
0
32
32
0
0
0
0
0
24
0
0
0
16
0
0
0
0
0
0
8
16
16
0
0
16
8
16
1
0
8
16
16
16
16
8
8
0
8
0
0
24
0
0
0
0
8
24
0
2
2
2
0
0
16
0
16
0
1
0
0
0
0
0
0
0
0
0
0
0
0
20
0
0
17
0
0
8
0
0
32
32
0
0
0
0
0
0
24
0
0
0
0
0
8
0
0
16
0
16
0
0
0
0
0
0
0
0
0
16
16
0
16
16
0
16
16
16
0
0
4
0
4
0
4
0
0
0
24
0
24
0
16
16
8
8
8
0
33
7
0
0
0
4
16
16
0
0
8
16
16
0
0
4
0
0
0
0
0
0
40
16
0
0
0
0
0
0
16
17
16
16
16
16
8
8
0
2
4
4
16
0
0
0
0
2
2
0
0
0
16
0
4
16
16
0
0
0
0
0
8
7
0
10
0
0
0
0
0
8
0
0
0
0
1
0
0
0
1
8
8
8
8
0
0
0
0
4
12
12
0
20
20
16
16
0
8
8
0
0
16
16
0
0
0
0
0
32
0
0
0
0
0
16
16
0
0
0
2
0
8
8
10
0
16
0
16
0
8
8
0
8
24
8
0
2
0
0
0
0
0
0
0
0
16
0
0
0
0
8
0
0
0
0
18
8
10
0
8
0
16
16
0
0
0
0
0
2
0
0
32
16
8
0
8
16
16
16
16
16
16
0
0
8
25
16
16
16
0
0
0
0
0
4
8
0
0
1
8
8
8
0
0
0
0
0
0
8
8
8
1
28
4
0
2
8
8
0
9
0
0
0
0
0
0
20
0
0
0
1
3
0
0
0
0
2
0
0
8
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
9
0
0
0
8
0
0
0
0
8
8
8
8
0
0
0
0
0
0
4
4
0
0
0
8
16
8
8
0
0
17
0
0
0
0
8
0
0
0
16
16
0
0
32
0
32
8
0
0
0
8
0
0
10
30
0
4
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
4
0
0
16
16
0
0
2
2
2
0
1
0
6
0
8
8
0
0
0
0
16
8
8
0
0
24
16
0
0
0
4
0
24
0
0
0
0
1
0
2
2
0
0
4
8
47
0
8
8
8
8
0
0
0
1
1
2
2
2
0
1
2
2
0
0
4
0
0
0
16
16
16
0
0
0
0
8
8
0
8
0
8
0
8
0
0
16
4
12
0
0
8
16
0
32
0
16
25
18
0
0
0
0
0
16
0
8
0
0
0
16
0
8
4
0
2
0
0
0
0
8
8
0
0
8
1
23
0
0
0
0
8
0
4
0
0
0
14
16
0
0
0
0
8
16
8
8
0
16
2
33
16
0
16
0
0
16
20
16
16
16
0
19
0
0
1
0
0
0
0
0
27
16
0
8
8
4
4
8
16
16
0
2
8
2
2
0
20
20
0
4
0
0
36
0
0
0
43
0
0
0
4
4
0
0
0
0
12
4
24
0
0
0
0
0
0
0
2
8
0
12
8
16
16
16
0
0
0
0
0
24
0
0
28
8
0
0
8
16
0
0
16
16
0
0
0
4
8
24
1
8
0
8
8
0
0
4
4
4
4
4
0
4
4
0
8
0
0
8
8
8
0
0
0
16
8
0
8
16
0
0
0
0
0
0
2
2
2
0
30
0
16
0
0
0
0
0
13
24
0
20
20
8
8
0
0
0
8
8
8
0
0
0
0
0
0
0
0
2
2
2
0
0
0
1
0
0
0
0
0
0
8
8
16
0
16
0
8
8
4
4
16
0
0
0
0
0
16
16
0
0
0
0
0
0
8
0
20
6
0
16
16
20
0
0
8
8
8
8
16
8
0
0
16
16
16
32
0
0
0
0
0
0
0
0
0
24
0
0
40
8
16
0
2
8
16
16
0
0
40
0
24
0
0
0
0
0
2
2
2
8
16
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
24
4
0
0
8
0
0
6
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
8
8
0
0
0
0
0
4
0
0
0
0
8
1
1
0
16
8
8
8
8
16
8
34
0
24
24
24
24
24
30
0
2
0
0
8
0
0
0
0
0
0
0
0
0
0
0
8
0
8
0
0
4
4
0
0
0
0
20
0
0
8
8
8
8
0
8
2
0
0
8
0
0
9
9
0
0
0
0
16
16
4
4
0
0
0
1
0
0
0
0
0
8
0
0
0
8
12
12
0
0
4
0
0
0
0
8
0
0
0
0
0
0
8
18
18
12
0
0
0
0
0
0
0
0
0
0
1
0
8
2
0
8
16
0
0
0
1
1
8
0
0
0
0
7
7
8
8
4
4
4
4
12
8
8
0
0
1
0
0
0
0
0
0
16
16
0
0
0
0
0
0
63
9
0
8
0
24
2
0
8
2
0
0
0
8
8
24
24
8
8
8
0
0
16
4
0
0
0
4
20
0
0
8
0
16
16
16
0
0
0
26
0
0
16
0
0
16
4
0
12
8
0
8
8
8
1
9
8
0
16
16
16
1
0
0
0
0
16
12
8
8
0
0
0
0
4
0
2
0
0
0
0
0
0
8
0
4
8
8
8
0
0
0
0
10
0
0
0
0
16
0
0
0
0
0
0
0
0
2
1
0
9
9
0
8
0
0
0
0
0
16
0
17
0
0
8
0
0
0
8
16
8
0
0
0
19
0
0
0
0
0
16
16
12
0
2
24
0
58
0
0
8
8
8
8
8
8
16
0
8
8
0
10
16
16
16
0
8
0
0
0
0
8
0
0
0
16
16
16
8
8
0
4
8
8
8
8
8
16
0
4
8
8
8
0
0
0
16
0
4
0
0
0
8
0
0
40
0
8
0
0
0
8
8
0
0
0
0
8
8
1
0
0
8
2
2
4
4
4
16
0
8
8
8
28
0
0
0
8
8
8
16
1
1
0
0
0
2
0
0
16
0
0
0
0
16
2
8
1
8
16
0
0
0
16
0
8
8
16
8
8
0
0
16
8
8
8
0
8
0
0
0
0
0
0
0
32
0
0
8
2
0
0
8
4
0
0
12
12
12
16
8
28
0
0
0
0
0
0
0
0
0
16
16
0
0
4
8
1
1
8
8
16
8
16
0
24
20
20
0
2
0
0
0
0
0
4
16
0
0
0
0
4
0
0
0
0
24
24
16
0
0
0
8
9
0
0
0
16
0
0
8
8
8
8
8
8
8
8
4
4
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
30
0
8
1
0
16
8
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
32
0
8
18
0
0
0
4
0
0
0
0
0
16
8
0
0
1
0
0
0
1
1
16
0
0
0
9
9
0
0
0
0
4
0
1
24
24
0
1
0
2
0
0
0
0
0
0
16
8
0
24
0
0
0
0
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
16
0
0
0
0
2
2
2
6
6
4
0
0
0
0
20
0
0
0
1
0
0
0
0
0
0
0
8
8
8
8
8
0
0
6
6
6
0
0
0
0
0
0
0
4
4
0
0
0
0
24
1
0
9
1
0
2
0
0
0
0
0
16
0
0
0
0
0
8
0
0
0
0
0
8
8
6
8
0
0
8
0
0
0
0
8
0
0
0
0
0
0
0
28
0
0
1
8
8
28
0
0
4
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
8
8
0
0
0
0
0
0
0
0
0
0
28
0
0
0
0
0
0
0
0
0
8
8
16
0
0
0
0
8
0
0
0
0
0
0
0
0
0
10
0
0
0
0
0
0
8
0
0
8
8
0
0
0
8
0
0
0
0
0
0
0
0
0
16
0
0
8
16
16
8
0
2
16
0
8
0
0
0
0
0
0
0
0
0
0
4
4
0
0
0
0
0
25
0
8
8
1
0
0
0
0
4
4
0
0
0
8
8
8
0
0
0
0
0
0
32
14
0
0
0
16
16
0
0
0
16
0
8
0
0
0
8
8
8
8
8
8
0
8
8
8
8
0
0
0
0
0
4
0
0
8
16
0
0
0
6
0
0
4
8
0
8
0
0
16
0
8
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
33
16
0
0
0
0
0
4
4
2
0
4
12
0
0
0
0
8
0
2
16
0
4
4
4
0
0
0
0
0
0
0
0
0
0
16
16
16
16
0
24
4
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
16
8
0
24
0
0
0
2
0
0
4
0
0
0
16
16
8
8
8
8
0
0
4
0
0
0
0
0
6
0
0
8
8
8
0
0
8
8
8
0
0
0
0
4
16
0
0
8
18
18
18
16
0
0
4
1
4
0
0
0
8
21
0
0
0
0
0
16
16
16
0
0
0
0
8
8
0
4
4
16
8
8
0
0
0
0
0
2
2
2
0
13
0
0
0
0
0
8
24
22
0
0
0
4
12
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
12
0
0
0
0
0
16
0
0
2
2
0
0
0
0
0
1
0
0
0
4
8
0
0
0
0
18
18
2
0
0
0
24
2
0
0
0
8
8
0
0
16
0
8
0
0
0
0
0
0
0
0
48
6
0
0
0
0
0
0
0
0
0
0
0
0
0
20
8
48
0
0
0
0
0
0
0
0
16
24
8
0
0
4
4
0
0
0
8
18
0
0
0
16
4
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
8
8
8
0
0
8
8
0
0
0
0
0
0
0
8
2
0
8
0
0
0
0
8
8
0
0
0
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
1
16
0
0
0
0
0
16
0
16
0
0
0
0
0
19
8
0
0
0
1
0
8
0
0
0
0
0
0
8
16
0
0
8
8
0
0
0
0
0
0
0
0
8
0
0
0
0
0
8
16
0
0
0
16
0
0
0
0
0
0
16
16
0
0
0
0
0
0
8
8
24
0
0
16
8
0
0
0
0
0
0
0
0
0
0
8
32
32
0
0
0
16
4
4
32
0
0
8
8
8
7
0
0
1
0
0
2
0
4
4
0
24
24
8
0
0
0
0
1
16
20
20
20
0
0
0
0
16
16
0
0
0
8
0
8
0
0
0
0
0
1
8
1
0
0
0
0
0
0
0
0
4
4
0
0
0
0
0
0
0
24
24
4
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
8
8
4
0
0
0
2
32
0
0
0
0
1
32
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
2
0
5
5
0
16
0
0
0
0
0
0
0
0
0
16
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
24
4
0
0
0
0
0
0
4
4
4
0
16
0
8
8
4
4
8
0
0
0
2
0
0
8
0
16
0
0
58
4
0
0
8
0
32
0
0
0
16
8
0
0
1
1
2
0
0
16
0
8
8
0
0
0
0
0
16
0
8
0
0
0
0
0
0
0
0
0
0
0
2
0
4
4
4
0
0
4
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
58
58
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
8
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
40
0
8
0
0
0
16
16
16
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
16
16
0
0
0
0
0
1
0
0
0
0
2
8
0
26
26
8
0
0
0
0
0
0
0
0
0
0
0
17
0
0
8
8
8
0
8
0
0
0
8
8
8
0
0
4
33
0
0
16
0
0
0
0
0
0
8
13
0
0
0
32
8
0
16
16
0
4
4
0
0
1
1
4
0
0
0
0
0
8
8
8
8
8
0
0
0
8
0
0
0
0
0
0
8
1
8
0
0
0
0
0
0
0
4
4
0
0
8
8
0
24
3
0
0
0
0
0
0
24
18
0
0
0
4
0
0
0
0
0
0
16
0
0
8
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
8
4
4
0
0
0
17
8
0
2
4
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
4
0
16
16
16
16
0
0
16
4
0
16
16
16
0
0
0
0
0
0
1
1
1
1
1
1
20
0
0
0
0
9
9
32
1
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
8
16
16
16
0
0
0
0
0
0
0
0
0
8
0
0
0
0
4
8
0
0
0
0
0
0
20
20
20
20
20
16
16
16
16
40
0
0
42
0
0
0
0
0
0
8
0
0
28
0
0
0
0
0
0
0
16
16
2
20
16
2
0
0
0
20
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
2
2
0
20
20
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
16
8
0
0
8
0
8
0
0
0
1
19
16
0
0
0
0
0
0
0
4
0
8
0
0
0
2
16
8
0
0
0
0
0
0
0
0
0
0
16
8
8
8
0
8
0
0
24
24
24
0
1
1
16
0
0
0
0
0
16
0
4
0
2
0
8
1
0
0
0
0
0
16
16
8
0
0
0
24
0
4
0
0
0
0
4
4
0
0
0
9
0
0
16
0
29
8
0
0
4
0
16
0
0
0
0
0
2
0
0
0
0
16
16
0
0
0
0
0
17
17
0
0
0
4
1
1
1
8
8
8
8
0
0
0
1
1
8
0
0
0
8
16
8
8
0
0
0
0
0
0
1
8
8
8
0
0
0
0
4
0
0
0
0
0
24
24
16
0
0
0
0
8
8
4
4
0
0
0
0
0
20
0
16
1
4
25
0
4
4
16
0
1
1
0
16
8
8
8
8
0
0
0
0
0
0
0
16
16
0
0
0
0
0
6
0
8
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
4
0
0
8
0
0
0
0
0
0
12
0
0
8
0
0
0
0
0
27
0
4
8
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
16
16
8
0
4
0
0
0
0
0
0
0
0
0
0
16
10
2
8
58
17
0
8
0
0
0
0
0
0
16
4
8
2
0
0
0
0
8
0
8
8
8
16
8
0
0
0
0
0
0
8
0
0
0
0
0
0
0
1
0
0
12
0
0
0
0
16
16
0
0
0
10
32
16
16
0
0
16
0
8
0
8
0
0
0
0
4
0
4
0
0
0
0
0
0
0
0
0
0
0
16
0
4
30
0
0
16
2
2
2
0
9
0
0
8
8
16
0
0
0
0
17
8
0
8
8
0
8
2
2
2
16
2
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
8
0
4
0
4
8
0
0
0
16
0
0
0
0
5
0
0
2
24
0
0
0
0
8
8
8
8
0
0
0
0
4
1
1
1
0
5
0
0
0
0
0
16
4
0
16
20
0
0
8
24
0
0
8
0
0
0
0
8
32
0
21
0
1
0
18
8
8
8
0
8
8
8
0
16
16
16
16
32
32
0
8
16
16
16
28
4
4
0
0
0
0
0
8
8
8
0
0
0
8
8
8
0
8
24
0
1
0
0
0
0
0
24
24
24
0
0
0
16
8
16
4
0
2
2
24
0
0
0
0
16
16
16
8
0
0
16
8
0
0
4
4
4
16
0
0
0
16
16
0
0
0
0
4
8
8
8
0
0
0
0
0
16
4
0
0
0
0
0
0
0
0
0
0
0
16
16
16
16
16
16
16
16
0
0
0
14
0
0
0
0
17
48
36
0
0
0
4
0
0
8
8
2
0
0
0
25
25
0
8
0
8
0
16
8
16
16
8
4
0
0
16
8
8
4
4
0
0
0
0
8
0
8
22
16
0
0
0
0
24
24
24
16
16
0
4
0
24
0
0
0
0
0
0
16
4
0
8
0
1
4
0
0
8
1
15
0
0
0
16
0
32
0
0
0
0
16
16
16
16
16
0
0
24
0
0
4
8
48
0
0
0
0
0
8
8
16
24
0
0
0
8
8
0
8
8
8
8
0
0
0
2
2
2
0
0
0
24
0
8
8
20
20
55
8
2
0
0
8
0
16
8
8
8
8
8
8
0
0
2
0
0
0
0
0
2
16
0
16
16
16
0
0
4
0
2
8
8
20
0
0
0
0
0
4
4
0
0
0
2
0
0
0
0
0
6
2
16
16
0
0
16
0
0
0
0
32
0
16
0
16
0
0
24
24
24
0
4
0
0
9
0
0
0
0
0
0
0
0
0
0
0
4
0
0
8
8
0
0
0
0
0
0
0
0
0
0
8
16
16
41
0
0
0
0
0
0
8
8
16
10
16
0
1
1
16
0
2
0
0
0
8
0
0
16
16
0
16
8
0
8
8
0
4
0
8
16
0
0
0
0
4
4
4
24
0
8
16
0
0
0
0
8
8
12
0
0
0
0
8
0
8
8
8
8
16
8
8
1
1
0
0
16
0
20
8
0
0
0
16
8
8
24
24
24
0
0
0
0
0
0
0
0
0
32
8
8
8
0
0
0
0
16
2
0
0
16
8
8
0
0
2
0
0
8
8
0
0
20
16
2
0
16
16
0
0
8
24
24
16
8
0
0
0
0
0
0
0
0
0
0
0
8
16
16
0
0
0
0
0
8
0
2
0
0
0
24
0
2
0
0
4
0
0
0
33
0
0
0
16
0
0
16
16
8
8
8
4
16
0
0
16
0
0
13
13
0
0
16
0
0
0
16
16
0
0
16
0
0
0
0
0
8
8
0
16
16
0
0
8
1
24
4
0
0
0
0
0
24
1
0
0
0
8
8
0
0
4
0
16
16
16
8
8
0
0
0
0
0
8
1
0
0
0
0
8
8
8
0
24
0
0
0
4
0
0
1
0
24
24
24
0
0
24
0
0
2
0
0
0
0
16
0
0
0
0
0
8
8
8
8
0
0
26
0
0
8
16
8
8
8
0
0
0
0
0
0
0
0
1
0
0
0
0
8
0
0
0
0
0
0
0
0
8
0
2
16
0
2
8
8
0
9
0
0
0
0
24
4
0
0
0
0
0
0
0
8
8
0
0
4
0
26
0
9
9
0
6
0
0
0
0
16
0
0
0
0
16
8
8
0
0
0
8
8
8
17
0
0
25
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
32
0
16
8
8
0
10
8
0
0
0
16
16
24
0
0
0
0
0
8
4
8
0
2
18
0
16
0
8
24
24
0
20
17
4
0
0
4
8
0
0
8
0
8
8
24
0
0
40
8
8
8
16
8
8
8
8
0
26
0
0
8
8
0
24
8
0
0
2
0
24
0
0
0
0
0
8
24
24
24
16
0
0
16
0
0
0
16
8
2
0
6
8
0
8
0
2
0
2
0
24
0
4
0
0
32
8
16
1
53
0
0
0
0
0
0
0
0
1
8
0
8
8
0
0
0
8
0
0
8
0
24
0
0
0
0
8
0
0
0
0
2
0
18
0
8
0
0
0
9
0
0
16
0
0
0
11
11
8
8
0
0
1
16
4
8
8
0
0
0
0
0
1
1
0
0
0
8
0
0
0
0
0
0
16
0
0
0
16
0
0
0
0
0
5
8
8
0
0
0
1
4
0
0
0
0
0
0
0
0
0
2
2
14
16
4
0
8
8
8
0
8
8
0
16
0
0
0
16
8
0
0
0
4
4
0
0
0
16
0
0
0
8
0
0
2
0
22
8
8
0
0
0
4
0
0
8
0
0
2
8
0
2
2
0
0
0
0
0
0
0
0
4
4
4
0
16
16
0
0
0
1
8
0
0
2
8
12
1
8
24
24
2
0
0
0
0
8
4
0
0
0
0
0
0
4
4
4
4
4
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
8
2
0
0
0
0
4
0
4
0
16
16
0
4
4
0
20
0
0
0
0
0
8
8
8
8
8
8
8
16
16
16
16
16
16
8
0
0
8
24
0
0
1
0
0
0
0
0
0
0
1
1
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
8
8
0
6
0
0
0
0
0
0
0
0
16
0
0
8
16
16
8
0
20
20
0
8
8
8
0
0
0
0
0
0
0
0
4
32
32
32
8
0
0
0
0
0
0
0
0
0
0
0
0
8
16
16
16
16
16
16
0
0
0
8
0
16
0
0
0
0
0
8
8
17
0
16
0
0
0
0
0
0
0
16
2
8
8
0
16
16
16
16
0
0
0
0
0
8
1
1
0
24
0
0
0
0
0
8
8
0
2
2
0
0
0
0
0
0
0
0
0
32
0
0
0
8
0
0
16
16
0
16
0
8
4
0
16
16
0
0
2
0
0
1
8
8
0
8
0
8
0
16
1
0
0
0
0
0
16
0
0
0
1
0
0
0
0
0
0
0
0
0
0
2
8
16
8
6
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
16
0
0
0
0
0
0
8
8
8
0
8
0
0
1
1
0
0
8
8
0
24
24
8
0
0
0
1
2
24
0
2
2
0
16
0
8
16
16
0
8
8
0
0
0
18
18
0
16
16
0
0
0
0
0
0
0
0
0
8
8
8
8
16
0
0
4
8
16
0
0
8
0
0
0
0
8
2
2
2
0
0
0
8
8
0
0
0
0
0
0
16
0
0
0
0
0
0
8
0
2
0
0
20
0
0
16
0
0
1
0
0
0
16
4
0
48
4
8
4
4
8
0
8
1
32
0
17
0
0
0
0
0
0
0
0
8
16
8
8
20
0
16
2
0
8
8
8
8
2
0
16
33
24
0
0
0
4
0
0
0
0
16
0
16
16
0
16
0
0
0
0
18
16
16
0
0
1
0
8
8
0
0
0
0
0
0
0
0
0
8
0
0
0
8
0
24
0
4
0
16
13
0
0
0
0
8
32
1
4
6
10
0
0
0
0
0
1
0
8
0
0
0
0
0
0
16
0
0
8
0
0
8
8
16
0
0
2
16
0
0
4
4
4
0
8
16
16
0
0
0
0
16
16
16
4
0
0
0
0
0
0
0
0
4
1
1
1
0
24
0
0
0
0
0
0
0
8
8
8
8
4
0
1
1
8
8
8
0
0
8
8
8
8
0
0
0
8
8
8
8
8
8
0
0
8
8
0
0
0
2
0
0
16
20
4
0
0
0
0
0
0
0
20
0
8
8
4
0
0
0
0
0
0
0
0
1
1
1
0
0
0
8
0
0
0
0
8
0
0
0
0
16
16
16
0
20
8
0
0
0
0
8
0
8
8
8
0
24
8
1
6
0
1
8
4
8
20
20
20
0
0
16
16
16
0
0
0
1
4
3
3
26
0
0
0
0
0
0
0
0
34
6
6
16
0
32
32
17
17
17
16
0
0
0
0
0
0
0
0
0
0
0
8
8
5
0
1
1
1
8
8
0
0
0
2
0
0
0
0
0
0
0
16
0
55
8
0
16
0
0
0
0
0
16
16
8
0
0
0
0
16
4
2
12
0
4
2
0
0
0
24
0
8
0
0
0
1
1
1
0
0
8
8
8
4
0
0
0
0
0
0
0
16
0
0
0
0
0
0
8
0
2
0
0
0
0
0
3
0
0
0
0
0
8
0
0
0
0
0
0
0
4
16
16
0
8
8
1
0
0
0
0
0
16
0
8
20
8
1
16
57
0
4
32
0
0
0
0
0
0
0
0
0
16
0
0
0
9
0
0
0
8
0
4
8
16
0
0
0
0
0
8
8
16
0
8
1
1
0
16
8
16
16
0
0
0
4
16
0
2
8
0
0
0
0
0
0
0
0
0
1
0
2
0
0
0
8
0
0
0
0
0
0
3
0
12
0
0
0
16
16
5
5
0
9
3
0
2
2
0
16
16
8
17
0
8
20
8
8
0
0
16
4
0
0
8
0
0
16
0
8
8
8
0
8
8
0
0
10
4
0
0
0
5
0
0
0
0
0
0
16
16
0
2
8
8
8
0
18
18
1
0
0
9
4
0
4
4
0
0
0
0
0
0
18
4
4
0
9
0
0
8
0
0
0
0
0
0
0
4
25
25
0
8
16
0
0
32
32
0
0
12
12
0
1
24
0
16
33
0
2
2
0
8
0
0
0
0
0
0
24
8
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
16
0
0
0
44
8
4
4
8
8
8
0
0
0
0
8
8
0
0
0
4
0
0
0
0
0
0
0
8
0
4
0
0
0
0
0
16
0
0
0
0
8
0
2
0
8
1
8
0
0
32
32
8
0
59
59
0
0
0
0
0
5
0
6
0
0
0
0
0
0
0
4
0
0
8
0
0
8
0
8
0
0
0
0
0
0
8
0
0
0
0
4
4
0
0
0
0
0
0
8
2
8
0
0
1
2
0
0
0
0
4
0
8
0
8
0
0
0
1
0
0
8
0
0
0
16
16
0
0
0
0
4
0
0
0
16
34
0
0
8
0
0
0
0
0
0
0
0
8
0
0
0
57
57
8
9
16
0
0
0
0
0
0
8
8
0
8
4
0
0
10
1
1
0
4
0
0
0
0
16
16
16
0
12
0
0
0
8
8
4
0
16
0
0
12
0
0
0
2
0
0
4
0
0
0
0
12
0
0
0
1
1
1
0
0
0
8
8
0
0
16
16
16
16
16
16
16
16
0
0
16
0
8
1
0
24
0
0
0
0
0
0
17
4
0
8
8
8
0
8
0
0
0
24
37
8
16
24
24
8
0
0
0
8
8
25
0
8
8
0
0
8
0
16
0
0
0
0
0
0
1
8
8
8
0
1
0
0
0
10
0
0
2
0
0
0
0
0
1
16
16
0
0
8
0
0
8
0
0
0
56
0
16
0
16
24
24
24
4
0
0
8
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
2
0
8
8
4
0
0
0
0
0
32
0
0
0
0
0
44
4
0
0
0
0
0
0
16
0
0
0
8
8
53
0
0
0
0
16
0
0
0
16
0
0
8
2
8
8
0
20
0
8
0
4
0
16
1
0
2
2
2
4
16
31
31
16
0
4
0
0
32
32
0
0
1
0
8
0
16
0
0
8
0
0
24
24
24
16
0
24
0
0
0
8
0
0
0
8
0
0
4
8
16
16
0
0
5
0
0
0
0
0
16
0
0
0
0
2
8
0
0
0
0
8
0
0
0
0
0
2
2
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
32
32
0
0
8
32
24
0
8
8
8
0
0
0
0
0
18
0
4
0
9
0
0
0
0
0
0
8
0
2
1
2
16
4
0
0
0
0
0
0
0
0
0
24
0
8
8
4
0
4
0
8
8
0
0
0
4
0
0
0
4
0
0
0
0
0
0
8
0
0
8
3
16
0
24
8
0
0
0
0
0
0
0
0
0
0
0
0
0
16
41
0
0
8
16
0
1
0
2
0
8
0
0
0
0
0
8
8
0
0
4
9
8
8
8
0
0
0
32
2
0
0
4
0
2
24
8
0
0
32
0
0
0
0
0
0
3
8
0
0
1
1
8
20
20
0
0
0
16
0
0
56
0
0
37
0
2
2
0
4
16
0
0
0
2
0
0
0
0
0
0
0
0
8
18
0
8
0
0
0
0
0
0
0
0
0
8
0
0
0
0
1
8
16
2
0
4
0
0
0
0
16
0
0
0
0
2
0
0
0
0
0
9
0
0
0
10
10
0
1
0
0
0
0
8
40
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
8
0
20
0
0
0
0
0
0
0
16
16
2
0
0
16
0
8
0
0
10
2
20
20
20
16
0
32
17
0
0
25
16
16
0
4
0
0
0
32
12
0
0
0
0
2
2
0
0
0
1
0
0
0
4
16
0
8
2
2
0
0
0
0
0
32
8
0
56
56
0
24
24
0
0
12
0
0
0
16
0
0
33
0
0
0
0
0
8
8
0
0
0
6
6
0
0
0
0
0
0
16
0
0
0
0
0
8
22
16
0
8
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
8
16
0
0
0
0
0
0
0
0
8
8
16
0
0
0
0
0
0
0
0
0
8
16
0
4
4
16
24
0
0
0
16
0
8
0
0
0
0
0
2
8
8
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
0
0
0
0
0
40
0
0
8
0
0
0
0
0
8
24
0
0
8
0
0
0
0
0
8
0
0
0
0
16
16
0
0
0
16
0
0
0
0
24
0
0
0
9
0
0
0
0
17
17
17
0
24
24
8
0
0
0
0
0
0
0
0
0
0
8
0
8
0
20
20
20
16
4
0
0
0
16
0
18
18
0
4
0
8
0
0
0
0
0
0
0
8
0
0
0
0
0
2
0
0
0
0
8
9
0
2
8
0
56
0
0
0
0
8
4
0
2
2
0
0
4
0
8
0
0
0
0
0
18
0
9
8
0
0
8
0
0
0
0
0
0
8
0
0
4
0
0
0
0
0
0
0
2
0
0
8
24
24
24
24
0
16
0
0
0
0
8
1
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
16
8
8
0
0
8
12
0
0
8
0
0
0
8
16
16
16
16
8
8
0
0
0
0
4
0
0
0
19
8
0
0
4
4
0
8
0
8
8
1
0
4
8
16
0
8
8
0
0
0
0
0
0
0
0
0
8
0
0
17
0
0
0
3
0
24
8
0
0
0
0
0
0
16
0
8
8
8
0
0
0
20
16
0
26
4
8
8
0
0
0
0
0
0
0
8
0
0
0
0
0
0
8
56
0
0
1
0
0
0
0
0
0
0
16
8
0
0
1
8
1
12
12
0
0
0
0
8
8
2
0
0
0
0
0
0
0
0
16
8
24
0
1
0
0
0
0
16
0
8
0
0
8
8
0
8
8
8
0
0
16
0
9
0
0
16
2
16
21
21
18
18
0
0
0
1
16
8
0
4
1
0
0
0
0
0
0
0
16
1
0
16
4
0
0
1
8
8
0
8
2
2
0
0
0
0
0
0
0
1
0
8
0
8
16
0
0
0
16
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
16
4
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
8
24
24
10
0
0
2
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
2
60
60
60
60
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
9
0
0
16
16
0
0
0
0
8
8
0
0
0
8
16
0
0
8
28
0
0
0
0
0
8
8
8
0
16
26
26
26
0
0
0
0
0
0
0
0
8
0
0
0
18
0
0
0
8
8
16
8
8
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
8
8
0
0
0
0
8
0
24
0
16
16
32
0
2
0
0
16
16
0
8
8
0
0
0
0
24
8
0
0
5
0
8
4
1
0
0
0
0
16
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
0
0
0
0
0
0
16
16
0
0
0
5
5
0
0
0
0
0
8
0
0
0
0
8
0
4
17
0
0
0
0
16
0
4
0
0
0
0
0
8
8
0
0
0
0
24
0
25
0
16
8
8
0
0
4
0
0
16
16
0
0
16
0
0
0
0
8
8
0
0
8
1
0
1
1
1
1
1
1
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
16
0
0
0
0
0
0
0
0
0
0
1
25
0
0
1
1
1
8
0
4
0
8
0
40
40
0
0
0
0
1
32
1
0
0
0
0
0
0
0
0
0
0
0
8
8
24
0
0
0
8
0
0
0
0
0
0
12
8
8
4
0
16
0
2
0
8
0
0
0
0
1
0
0
0
1
2
4
0
0
0
0
0
0
1
0
0
16
16
16
2
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
3
3
3
0
0
0
0
0
0
0
0
2
2
0
1
4
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
21
0
2
2
2
0
8
8
4
0
0
4
0
0
0
0
0
8
0
0
0
8
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
4
4
0
4
4
4
0
0
0
8
4
18
18
0
0
0
0
8
0
0
0
0
4
4
1
21
0
0
0
0
0
0
0
0
0
0
0
0
0
20
0
0
8
8
0
0
0
28
0
8
0
0
40
0
0
0
0
0
0
0
0
0
16
35
0
0
0
8
13
13
0
0
1
0
0
0
8
48
0
8
0
4
4
0
0
0
0
0
0
0
1
0
0
0
8
1
1
1
1
0
0
0
1
0
8
8
8
8
8
4
16
0
0
0
8
0
0
0
16
0
16
0
0
2
0
10
22
0
0
37
37
0
0
0
0
0
0
0
0
4
8
0
4
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
4
0
1
0
16
0
6
0
8
0
16
0
0
0
8
0
0
0
0
0
0
0
0
0
8
0
0
0
0
8
0
0
16
0
0
0
0
2
8
8
4
0
0
0
0
32
32
32
0
16
0
0
0
8
18
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
3
3
0
0
0
0
8
0
0
0
0
4
4
0
0
0
14
0
0
0
0
0
0
0
0
16
8
8
0
0
16
0
0
0
0
0
1
0
0
0
0
0
0
0
2
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
8
0
0
16
0
0
0
0
9
0
0
0
6
6
0
8
8
8
0
4
4
5
24
0
0
0
0
0
0
0
0
24
24
0
0
2
0
8
0
0
0
0
4
4
0
0
0
0
0
0
8
0
0
16
0
0
0
0
0
0
0
2
0
0
8
16
0
0
8
8
8
0
0
0
0
0
8
0
0
0
0
1
0
0
16
0
0
16
16
0
16
0
0
0
0
0
0
0
8
0
0
0
24
0
8
1
0
32
32
32
0
4
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
17
0
0
0
0
0
0
0
0
0
8
8
0
8
0
0
0
0
0
16
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
16
2
0
8
8
0
0
0
0
0
16
16
0
0
0
6
6
0
0
0
0
0
0
8
8
16
0
0
0
0
0
0
8
0
0
0
0
16
16
16
16
16
16
0
0
0
3
0
8
2
16
0
0
0
0
0
0
0
0
0
8
8
2
0
0
0
0
0
0
0
0
0
0
0
3
0
6
8
0
16
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
4
8
4
4
0
0
16
16
0
0
0
0
0
0
0
2
0
0
4
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
59
0
0
0
16
0
0
0
0
4
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
8
0
8
8
0
16
0
0
0
0
8
8
24
0
8
0
0
4
0
0
0
0
0
0
0
8
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
16
0
32
6
2
0
24
24
8
0
0
0
0
0
0
0
0
8
1
0
0
0
56
56
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
2
16
2
0
0
0
0
1
0
0
0
0
0
0
0
8
0
8
0
0
0
0
8
0
0
0
0
0
0
0
0
9
9
16
0
0
14
14
14
0
0
16
2
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
2
2
0
0
0
0
0
0
0
1
1
1
1
22
0
48
8
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
20
20
0
0
0
0
0
0
0
0
8
0
0
0
16
0
16
0
0
32
4
0
0
0
0
0
9
0
0
0
0
0
3
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
16
0
0
0
0
0
8
4
0
0
0
0
0
24
16
8
8
8
0
0
8
0
0
0
0
8
8
0
0
8
0
0
0
0
0
0
12
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
18
0
0
0
0
16
0
0
0
0
18
0
0
24
0
0
0
8
0
8
0
0
0
0
0
0
0
0
0
11
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
24
0
0
0
0
0
0
4
0
25
0
0
0
0
0
0
0
0
0
0
0
0
16
24
0
0
16
0
0
0
4
0
0
0
8
0
8
8
0
0
0
0
0
0
8
0
0
0
0
0
8
8
32
0
0
0
0
0
8
0
0
8
0
0
0
0
8
0
17
17
16
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
8
0
0
8
0
0
0
0
0
0
8
1
0
2
0
0
0
2
0
0
0
0
0
0
16
0
8
8
0
2
0
0
0
0
18
0
0
0
8
0
0
0
0
4
0
16
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
16
0
0
8
1
0
0
0
0
0
8
0
0
16
16
24
0
0
0
0
16
16
16
0
0
0
0
0
12
0
0
34
0
0
0
16
16
0
17
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
4
0
0
0
0
0
0
0
2
0
0
0
0
0
8
0
0
0
12
0
0
0
0
0
0
8
0
0
1
0
0
0
0
0
16
0
0
20
0
0
32
16
16
8
8
8
0
0
2
4
0
24
24
0
0
16
0
0
8
8
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
56
56
56
56
2
2
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
16
16
16
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
8
8
0
0
0
1
1
8
8
4
0
8
0
0
0
16
0
0
8
0
4
4
0
0
0
0
0
0
0
0
0
0
8
0
0
0
4
16
0
2
32
16
16
16
0
0
0
24
0
8
8
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
24
16
0
0
8
0
0
0
0
0
16
16
16
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
16
3
0
0
0
0
18
8
0
0
16
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
4
4
0
0
0
16
16
0
8
0
0
0
8
0
0
0
0
16
0
0
8
8
8
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
4
4
0
0
0
2
0
0
0
0
0
0
4
0
16
16
8
0
0
0
0
0
16
16
0
0
8
8
8
8
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
13
0
0
8
32
0
0
0
8
0
2
0
0
0
0
0
0
11
0
0
0
0
0
0
0
0
2
0
0
0
0
0
4
8
8
0
8
0
0
0
0
0
0
0
8
0
0
1
0
0
0
0
0
0
8
8
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
24
0
0
0
0
0
0
0
0
8
0
0
0
0
0
2
8
1
2
2
0
0
0
0
6
6
1
8
8
1
1
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
16
0
0
0
0
0
8
0
0
0
0
0
0
0
8
4
4
4
4
0
0
0
0
4
0
0
8
8
0
0
0
0
0
0
0
0
0
24
0
0
0
4
4
4
0
0
0
0
0
0
0
0
0
16
16
0
8
8
8
0
0
0
0
0
0
0
38
38
11
11
8
0
0
0
0
0
0
0
8
16
0
10
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
16
0
0
0
0
0
22
0
0
9
12
0
0
1
4
0
0
0
8
8
16
16
0
0
0
0
0
0
0
0
0
0
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
16
16
0
0
0
0
0
0
0
0
4
4
0
1
16
16
16
0
0
0
0
0
0
0
54
54
54
40
8
0
0
8
8
8
8
8
8
8
18
16
4
0
41
41
16
0
0
0
0
0
8
17
0
20
0
12
12
12
16
0
8
24
0
0
16
12
12
16
16
32
0
0
0
16
5
0
20
1
0
0
0
8
16
16
2
2
0
0
32
9
9
9
9
9
8
16
0
0
32
0
8
8
26
2
0
0
8
8
0
8
0
17
16
16
0
0
0
0
0
10
10
8
0
8
0
1
0
0
0
0
0
8
0
0
0
8
16
0
0
0
0
0
0
8
0
0
0
0
0
16
16
18
8
0
4
16
16
8
16
16
8
0
24
0
0
4
8
8
8
8
8
8
8
0
0
0
16
8
8
1
0
0
8
0
8
16
8
8
16
16
16
0
0
1
8
8
0
0
8
8
16
0
0
0
0
8
8
0
1
1
4
0
0
1
0
0
0
0
0
0
9
0
4
8
16
16
8
0
13
8
8
0
0
16
16
0
8
8
0
16
16
6
0
0
0
0
1
8
0
8
16
16
0
16
16
16
16
24
24
16
16
16
0
0
0
0
4
4
8
8
8
8
17
0
8
1
1
0
0
0
0
0
32
32
32
32
0
17
17
17
1
0
8
8
8
0
0
0
0
0
16
16
0
8
8
0
0
8
16
0
0
0
9
16
8
8
8
0
0
4
8
20
24
32
16
2
0
0
0
0
0
0
0
20
0
16
0
0
0
0
0
0
16
16
0
0
0
0
0
17
17
8
16
8
8
0
53
8
0
8
8
4
4
4
4
8
8
8
8
16
0
20
1
0
0
0
0
16
16
0
0
0
0
16
0
0
24
24
8
5
5
5
4
8
0
0
2
8
0
4
48
16
0
0
16
0
0
8
0
0
0
16
0
24
8
2
2
0
0
8
8
8
16
0
0
40
40
40
4
4
4
4
8
32
32
32
32
32
0
2
2
11
11
11
11
16
4
8
8
16
16
16
0
0
0
8
8
1
8
2
0
0
2
0
8
8
0
0
17
0
8
1
18
18
18
18
18
18
0
0
2
0
16
0
0
1
1
16
0
2
8
8
8
8
0
0
0
0
0
0
24
0
8
0
4
0
0
0
0
16
16
16
0
16
4
4
0
0
0
0
4
4
4
6
0
16
8
4
4
4
8
8
8
8
0
12
13
13
2
2
0
8
8
8
1
0
0
0
0
0
0
16
16
24
24
24
0
8
0
4
4
16
16
0
8
0
0
8
4
16
16
2
2
16
16
0
0
8
16
16
0
4
4
20
0
16
0
0
0
0
0
0
0
0
0
0
0
16
0
16
16
8
1
24
8
0
1
5
5
0
0
0
0
8
0
0
0
56
56
0
0
0
0
0
0
2
2
8
8
8
8
16
4
1
1
16
2
16
0
16
0
32
0
4
4
4
4
4
4
0
0
8
8
16
0
0
0
4
0
16
16
25
0
16
16
2
2
2
2
2
2
2
0
16
16
16
16
0
8
16
16
16
16
16
16
16
16
16
0
8
2
2
2
2
16
2
16
16
0
16
34
4
0
0
0
0
0
1
1
16
20
0
8
24
1
16
8
0
24
0
0
3
0
16
0
0
8
0
0
16
0
41
4
0
0
0
0
0
0
0
0
8
0
16
16
0
0
0
0
12
0
0
0
0
1
8
4
16
0
8
8
8
0
0
0
0
0
16
16
8
8
8
16
4
0
0
0
0
0
8
16
0
0
0
16
2
2
0
0
4
16
16
16
16
8
25
4
16
0
0
1
0
0
8
0
32
32
16
33
0
0
0
16
16
8
8
8
0
2
2
18
0
0
8
0
1
16
0
0
0
0
0
0
0
0
1
0
0
0
0
0
12
12
0
24
24
24
16
16
52
4
10
10
4
0
8
8
0
0
8
8
0
16
16
8
0
0
0
2
4
0
0
0
0
0
4
4
0
8
0
17
0
0
0
0
0
0
0
0
8
8
8
8
8
0
0
0
8
8
8
32
0
0
0
0
1
8
8
16
16
16
0
0
0
0
8
0
0
8
8
8
0
0
8
0
16
8
8
8
8
8
0
0
0
8
0
0
0
0
16
16
1
1
0
0
16
16
0
4
8
8
8
8
8
8
8
8
8
0
0
4
4
8
0
0
0
0
0
8
0
16
16
0
16
16
16
16
16
16
4
4
0
0
24
8
16
0
0
0
0
0
16
8
0
0
26
26
2
0
0
0
0
0
0
0
0
16
16
16
4
2
0
0
0
12
0
0
8
8
0
16
4
4
2
2
2
0
0
0
0
4
4
0
8
16
1
0
0
0
0
8
8
8
8
8
8
0
1
1
0
0
8
0
0
8
0
0
0
1
1
0
0
0
0
0
0
0
0
0
8
16
8
2
2
0
0
0
4
16
0
0
0
0
16
8
16
8
0
4
8
0
16
16
8
8
16
16
0
8
16
0
8
8
0
0
8
0
0
0
0
0
0
16
8
8
8
4
24
0
0
0
10
16
16
0
16
0
0
4
4
4
4
20
8
8
8
24
8
8
33
0
0
0
0
16
2
16
0
0
1
1
1
0
8
16
16
0
1
1
1
16
16
16
16
16
16
16
17
24
24
24
24
0
0
8
8
0
2
16
16
16
0
0
8
1
1
16
0
16
16
0
16
8
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
16
8
16
4
0
0
0
0
0
8
24
0
4
4
2
1
1
8
0
8
8
8
8
4
8
8
8
0
60
8
8
8
0
0
0
0
0
24
0
8
8
0
0
29
0
16
0
0
0
8
4
0
8
16
0
0
16
8
8
8
16
4
4
8
0
0
0
32
8
8
0
8
0
0
2
2
2
2
8
0
0
0
8
8
16
0
16
0
16
17
17
16
0
0
2
2
0
17
16
16
4
0
0
0
0
0
8
8
16
0
0
26
20
16
16
16
4
2
0
52
8
0
0
8
8
9
8
0
8
8
8
8
16
16
1
0
0
1
0
0
8
1
16
2
2
2
2
2
2
6
0
0
16
0
0
0
0
0
0
8
8
1
8
26
26
26
0
8
16
16
4
4
4
0
8
8
8
0
0
0
0
0
0
0
0
0
0
4
4
0
0
0
16
16
16
0
0
0
0
0
8
8
16
0
8
0
0
16
0
0
0
16
0
0
0
1
9
1
0
0
0
4
2
16
0
0
34
8
8
8
0
16
16
16
8
2
0
0
8
8
16
16
4
4
8
0
2
8
2
17
0
1
1
0
0
2
0
0
16
16
16
16
16
0
0
0
0
2
16
6
32
32
0
0
16
28
16
8
8
0
0
18
18
8
8
1
16
16
0
6
6
16
10
4
4
0
16
40
40
0
0
0
16
0
0
0
4
1
8
16
0
0
0
8
8
8
8
16
16
0
0
4
0
0
0
0
0
0
0
16
0
0
0
1
48
0
0
16
0
0
2
4
4
4
4
40
0
0
0
16
8
8
12
0
2
0
16
0
0
32
0
8
8
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
25
25
16
16
8
0
16
16
16
16
0
8
16
0
0
1
0
0
0
16
32
32
16
0
8
8
0
8
8
8
0
0
0
0
0
0
0
22
22
0
16
18
8
8
8
8
16
0
0
20
1
16
16
0
0
8
16
8
8
5
5
5
20
20
16
16
0
0
0
0
40
0
4
0
0
0
0
0
1
1
16
0
36
0
0
0
0
0
8
16
16
16
16
16
16
16
16
16
16
16
16
16
16
0
8
17
4
0
16
0
1
1
0
0
16
16
4
0
8
0
0
1
0
0
0
0
0
0
16
16
4
0
0
0
9
9
16
1
16
32
0
0
0
16
8
24
0
8
16
16
16
0
24
16
16
8
8
8
8
8
8
0
5
16
0
24
0
16
10
8
8
16
16
2
1
4
0
8
8
40
8
24
0
0
8
8
8
4
0
4
0
4
8
4
0
8
8
8
8
48
16
1
1
1
1
16
0
1
0
1
0
7
7
8
8
1
2
0
8
0
0
1
1
8
16
16
16
16
24
24
24
0
0
4
16
0
20
20
20
20
0
0
16
8
8
8
4
0
0
2
2
16
0
8
8
4
4
8
4
0
0
0
16
2
2
2
8
16
0
16
16
0
1
28
0
0
16
1
1
20
20
0
0
0
2
0
8
4
4
16
25
24
16
16
17
8
4
8
8
0
0
8
16
16
24
24
24
32
0
1
1
0
4
4
8
0
0
5
16
20
12
0
0
0
8
8
0
0
0
16
20
20
20
20
20
0
0
0
16
0
16
16
0
1
1
8
10
8
8
8
0
4
4
0
0
0
8
8
0
0
1
0
1
1
8
8
16
16
32
0
16
24
24
24
16
0
0
24
8
0
4
4
4
4
4
4
4
4
4
0
10
16
16
16
8
8
0
0
4
0
16
0
17
17
17
16
0
0
0
0
0
8
0
0
17
17
16
16
8
0
0
0
0
0
0
1
16
24
24
24
24
15
8
0
0
0
8
0
0
0
0
2
0
0
0
0
8
8
8
8
17
0
0
0
0
16
16
0
1
16
16
4
4
4
4
24
8
0
1
1
16
16
0
0
0
0
0
0
0
4
1
1
1
0
0
1
0
0
0
0
0
0
0
0
0
0
8
0
0
52
0
16
16
16
16
8
16
16
16
16
0
0
0
8
16
1
4
12
0
8
8
8
0
0
4
0
0
0
1
16
0
0
0
14
0
0
16
0
0
9
0
2
2
16
16
42
16
8
8
0
56
0
0
0
0
8
1
1
0
12
8
16
16
1
1
1
16
16
4
24
0
16
16
0
8
16
8
0
0
8
8
32
0
16
0
0
0
0
2
8
16
32
0
0
8
8
16
1
0
8
8
8
8
8
8
16
16
0
8
16
16
1
8
16
0
0
0
1
0
0
16
8
0
0
0
0
1
24
8
8
8
8
0
0
0
0
8
16
16
20
16
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
16
16
28
32
0
8
0
0
0
0
0
6
8
24
1
0
4
0
16
16
0
0
4
4
4
0
0
24
0
4
4
16
0
0
16
16
0
0
0
8
4
1
1
1
0
16
16
0
0
0
16
16
0
0
0
8
16
0
0
8
8
16
16
0
0
20
0
0
16
16
16
0
0
16
8
8
0
0
8
0
0
0
0
0
0
16
16
0
0
8
0
2
8
0
0
0
0
8
8
8
0
0
0
0
8
0
8
1
1
1
1
1
8
0
0
0
0
8
0
0
0
0
0
0
4
24
20
0
16
16
0
0
0
8
8
4
8
8
8
8
8
0
0
4
16
0
0
0
0
8
8
4
0
0
8
8
0
16
0
0
0
0
16
2
18
0
0
16
16
24
8
8
8
8
8
8
0
0
0
8
8
0
0
0
0
0
0
32
0
50
0
16
4
16
18
18
16
0
8
17
24
0
0
3
20
48
8
8
0
2
2
16
2
0
0
0
0
0
24
24
24
0
0
0
8
0
0
9
8
8
0
0
0
0
8
0
0
16
16
8
0
0
4
16
16
8
1
1
1
0
32
8
8
0
0
0
0
0
0
0
0
32
32
32
32
0
0
0
4
4
0
2
0
16
16
0
0
8
0
0
0
0
0
0
0
0
0
16
8
4
0
0
0
0
0
0
0
0
8
16
4
2
0
0
63
63
8
16
8
32
0
16
0
0
0
8
16
9
9
0
16
1
0
0
0
0
0
16
0
8
0
1
16
16
16
4
8
8
4
4
8
8
8
0
0
10
4
4
4
16
0
0
32
24
0
0
0
1
1
0
0
0
8
8
8
8
0
16
0
8
8
12
12
12
12
12
0
8
0
0
8
0
0
0
0
0
4
4
4
0
8
0
8
8
8
8
8
8
4
0
0
0
0
0
0
0
0
0
8
0
2
0
0
0
0
0
2
2
0
16
8
2
2
0
13
13
13
13
4
16
0
8
8
0
8
0
0
2
2
2
2
2
16
0
8
0
0
0
0
20
0
0
16
16
4
8
8
4
8
2
0
0
16
0
16
16
0
0
0
1
24
0
0
16
4
0
0
8
0
0
0
16
16
32
1
0
0
0
9
8
0
0
0
0
0
16
8
8
8
0
16
32
16
0
1
0
0
0
0
0
0
0
1
1
1
8
8
8
0
0
0
0
0
0
0
0
0
0
0
8
8
1
32
8
8
8
0
4
4
4
0
0
8
8
0
0
8
12
12
1
2
0
0
16
16
16
16
1
32
32
32
16
16
16
8
16
18
18
16
8
0
0
18
16
16
0
2
16
16
8
8
8
0
0
0
8
2
2
0
0
16
2
0
0
8
0
8
8
0
8
8
0
16
2
28
16
0
0
0
25
25
8
24
16
0
0
4
0
4
4
0
16
8
5
8
0
8
8
8
4
4
6
0
16
0
16
16
16
8
9
16
16
16
32
24
0
0
0
1
16
16
16
16
0
8
1
16
16
18
8
0
4
0
0
4
4
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
12
0
0
0
2
0
0
16
0
16
16
0
0
16
8
8
16
0
0
0
0
8
19
8
8
8
8
8
8
8
8
8
26
0
0
0
8
0
0
0
0
0
0
0
0
16
0
4
4
4
0
0
0
0
0
6
16
16
16
0
8
8
8
8
8
8
8
8
8
8
0
0
16
0
1
0
0
0
0
21
16
20
4
4
0
0
0
32
16
0
0
0
0
0
0
4
20
0
8
0
16
4
16
16
16
16
0
0
4
8
8
0
1
1
0
16
32
0
4
8
0
16
0
0
8
0
6
6
6
0
16
0
0
8
2
0
22
16
16
24
24
0
8
4
0
8
8
8
1
0
0
0
1
1
0
0
0
16
4
0
8
8
8
8
8
8
8
8
8
8
8
0
8
8
8
8
0
4
16
0
0
16
0
16
0
0
32
1
0
0
2
12
0
0
18
18
8
8
0
9
0
0
18
18
0
16
16
16
1
1
1
24
4
2
12
16
4
4
24
1
16
16
16
0
0
0
0
8
24
0
8
16
12
12
0
0
2
2
8
8
8
0
0
8
2
0
0
0
0
0
8
4
4
0
8
8
8
8
0
8
8
0
48
0
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
18
18
2
24
24
24
24
24
16
2
16
16
4
0
0
0
0
1
1
0
0
0
0
0
24
1
9
9
0
16
8
8
4
60
0
8
8
16
0
0
4
0
16
8
32
32
1
0
0
0
8
4
8
8
8
20
20
16
0
16
2
0
8
17
16
0
16
16
16
24
0
0
0
0
0
0
8
2
2
0
0
8
0
0
0
0
0
0
4
16
0
8
2
0
1
0
0
0
0
0
0
0
0
19
19
8
0
0
0
0
0
0
0
0
8
8
0
0
8
7
0
0
0
0
0
0
16
16
0
0
0
8
8
0
0
16
0
0
0
17
8
9
9
9
0
0
0
32
32
32
32
8
8
0
0
32
0
8
16
16
16
16
0
0
24
0
8
0
8
8
8
0
4
0
0
8
41
41
41
4
4
8
8
8
8
16
28
32
0
9
0
2
2
2
2
33
0
0
0
0
0
0
0
0
8
16
0
0
0
0
0
16
4
4
16
0
0
2
2
8
8
8
8
8
8
1
1
32
16
16
16
16
0
0
16
1
8
0
1
1
1
2
2
2
8
8
8
0
0
4
4
0
0
16
0
2
23
4
0
1
0
4
4
0
0
8
16
16
16
16
4
4
4
4
4
4
0
0
0
0
16
8
8
8
0
0
0
0
16
1
1
0
0
0
0
4
4
8
33
1
8
0
16
16
0
10
0
0
0
1
1
0
0
0
0
8
4
4
4
8
8
4
4
0
0
0
16
16
4
20
8
8
0
0
16
16
16
12
12
24
24
0
0
0
16
16
0
0
0
0
0
16
16
8
8
8
8
16
16
16
8
16
16
0
0
16
0
2
2
0
0
0
0
8
0
0
0
0
0
0
32
16
0
18
4
8
0
0
12
16
0
0
8
8
8
0
0
0
0
0
0
0
0
16
0
0
4
2
0
0
0
8
1
0
8
8
4
0
0
0
26
2
2
16
16
16
0
0
9
0
16
0
8
3
8
8
8
0
0
0
8
8
0
0
4
4
4
4
4
4
32
32
8
8
8
0
1
16
0
0
0
8
8
8
8
16
8
0
8
16
16
0
0
0
0
2
0
0
8
0
32
16
8
16
16
16
18
0
8
8
16
0
0
0
0
0
16
8
8
8
0
0
0
0
0
0
26
0
8
8
8
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
8
0
28
0
8
2
2
0
16
2
2
28
2
2
2
0
0
8
8
8
8
0
0
0
4
4
0
8
8
0
0
8
0
4
8
14
8
4
16
8
8
8
0
0
0
0
0
16
1
0
0
0
0
2
0
0
0
0
0
0
0
0
21
21
21
21
16
0
0
0
0
8
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
8
16
0
2
2
2
2
2
8
2
16
8
16
16
4
2
2
0
35
0
1
0
20
20
0
0
8
8
8
16
16
8
0
0
0
4
0
0
0
16
0
0
0
0
0
16
4
0
1
8
8
8
8
0
0
0
0
0
0
0
8
0
24
16
16
16
0
4
0
0
0
0
0
8
9
0
4
4
8
8
0
0
0
2
2
24
24
4
4
4
4
4
4
4
0
0
4
8
2
24
0
0
4
0
8
0
0
0
0
0
0
6
6
16
8
20
2
2
8
1
1
1
9
16
0
0
8
8
0
16
0
0
0
0
0
0
8
0
8
18
0
0
0
0
0
0
24
24
16
0
0
8
0
24
4
4
40
0
0
0
0
16
16
8
16
0
0
0
2
8
4
4
0
16
1
0
0
0
0
0
0
0
0
0
4
0
8
0
24
24
0
0
0
0
0
0
1
20
4
16
16
1
1
1
4
4
0
0
8
0
4
36
0
16
16
16
52
52
16
16
1
1
0
16
0
0
16
16
0
48
0
16
16
8
0
8
8
8
8
0
0
8
16
0
0
0
0
16
12
2
16
16
0
0
0
0
0
0
16
20
16
20
8
0
1
1
33
0
30
16
0
0
16
1
0
36
36
2
2
0
0
0
20
16
16
16
0
0
8
48
48
8
0
0
16
16
1
33
33
33
1
0
0
8
12
32
8
8
8
8
0
0
0
8
8
0
32
2
8
16
0
0
8
21
0
16
4
4
0
0
0
0
0
4
0
0
0
0
0
0
8
16
16
0
0
0
24
0
0
8
0
0
2
8
1
0
16
0
16
0
0
0
0
8
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
12
16
16
0
8
16
16
16
0
0
0
16
0
16
0
0
16
16
0
0
16
16
16
9
2
0
16
0
0
4
16
16
16
0
0
0
0
0
0
8
0
0
8
0
0
0
0
0
0
0
0
16
28
0
8
16
16
16
0
0
0
16
16
0
16
0
2
1
1
1
16
16
8
8
0
24
16
44
0
0
1
1
0
0
0
0
16
0
22
0
0
0
8
0
0
0
0
20
20
20
20
8
0
8
0
0
1
1
1
8
0
0
0
8
8
0
0
0
16
0
0
16
20
0
2
0
0
0
12
0
0
0
8
16
0
0
0
48
2
1
1
8
8
25
8
16
0
0
16
4
8
8
20
0
16
16
0
0
8
8
0
16
8
0
16
2
2
16
0
0
16
0
0
0
0
8
16
16
9
0
0
0
16
8
8
17
17
0
0
0
0
16
9
1
4
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
16
4
4
8
8
0
16
0
24
4
0
8
16
16
16
16
0
0
0
4
8
8
1
8
16
0
0
0
12
12
12
12
12
12
16
4
0
49
8
8
8
0
2
8
0
0
8
0
0
16
16
0
16
26
26
0
1
8
0
32
8
16
0
0
0
0
0
0
0
0
0
0
0
0
1
8
8
0
0
0
16
0
16
32
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
37
0
0
8
0
4
0
0
3
3
2
0
12
4
0
16
16
16
24
24
8
0
0
0
0
0
0
0
0
2
16
0
24
8
8
8
16
4
1
1
1
0
0
0
8
0
0
0
0
0
0
0
1
32
32
6
0
8
8
8
2
8
16
16
8
8
20
0
1
1
0
0
4
12
8
1
1
0
0
0
10
8
8
0
0
0
0
16
2
2
16
16
6
1
0
18
18
0
8
0
1
9
9
9
8
0
8
16
16
16
8
5
5
5
0
3
3
8
0
0
0
0
0
0
4
4
0
8
8
2
2
8
0
0
4
8
0
0
0
0
0
16
16
0
0
0
32
32
0
0
0
0
16
16
8
8
8
8
8
16
8
8
0
0
8
8
0
12
12
12
20
0
33
17
5
0
0
2
2
0
0
0
40
40
8
12
0
0
8
18
0
0
0
0
0
0
0
16
0
16
16
16
16
0
0
0
0
16
0
16
4
37
8
0
0
24
0
4
0
0
0
0
27
0
8
0
0
0
0
0
0
0
2
2
1
4
0
4
0
8
0
0
16
8
0
0
0
8
0
8
8
2
8
8
4
0
0
0
1
48
8
8
8
8
8
8
8
8
0
4
0
2
16
8
1
0
41
8
8
8
8
0
0
4
2
8
1
0
8
0
0
0
0
0
8
8
0
0
8
0
0
0
8
0
0
8
8
8
12
12
2
0
0
0
0
0
0
12
12
12
0
0
48
9
9
0
0
12
9
4
1
0
0
8
4
24
4
16
16
16
0
1
0
0
1
1
0
0
1
8
16
0
0
8
0
9
0
16
16
16
0
0
16
0
0
0
24
4
4
4
0
16
0
0
0
0
16
17
0
0
1
16
24
0
0
0
0
32
32
32
0
0
12
28
28
28
0
0
8
32
32
8
8
8
4
4
2
8
8
0
0
0
0
2
2
2
1
8
0
0
0
8
8
8
8
0
0
0
2
0
8
8
4
0
0
0
0
40
16
0
0
0
0
0
0
0
0
0
0
0
8
8
5
5
8
32
1
4
1
1
0
16
0
0
0
0
0
16
16
8
4
8
8
8
16
16
16
16
0
20
0
24
8
8
26
16
16
16
0
0
1
2
32
0
0
0
8
16
16
16
17
7
7
7
7
2
4
8
1
0
1
16
8
4
0
1
1
0
1
1
0
0
2
2
0
1
0
32
8
0
8
24
16
0
0
0
20
16
16
0
16
24
24
32
8
8
8
16
0
0
0
0
0
0
0
1
2
8
0
0
16
16
0
8
8
8
8
0
0
8
8
8
0
0
0
20
18
56
56
36
8
8
2
8
8
0
0
24
24
5
8
1
0
4
2
2
0
0
0
0
0
0
32
32
0
0
0
8
8
0
8
0
8
8
4
0
28
28
28
8
8
16
16
16
16
0
24
0
8
8
8
8
8
8
16
0
1
16
2
2
2
0
0
0
8
8
8
8
8
2
2
2
0
0
0
0
8
16
0
0
0
0
0
0
0
8
8
8
8
0
8
0
4
0
16
16
4
4
4
4
4
4
4
0
0
8
4
0
0
1
8
0
0
4
4
16
16
16
0
0
8
16
0
32
8
0
8
8
0
2
8
0
0
0
17
0
0
8
0
16
16
16
0
12
12
12
8
4
4
8
0
0
8
16
5
0
0
0
1
0
0
0
0
8
24
0
0
0
16
0
0
0
0
4
4
4
4
0
0
8
0
0
0
4
16
8
6
8
16
16
16
16
16
8
8
4
16
16
16
0
16
0
9
8
8
8
8
8
0
0
0
0
0
16
16
0
8
8
8
8
14
14
0
16
8
0
8
2
8
8
24
24
4
16
16
8
0
1
40
0
4
8
0
0
8
8
8
8
34
34
8
6
6
8
0
8
8
8
8
1
48
48
16
0
19
19
19
4
0
8
2
2
2
2
12
0
0
0
0
0
1
0
8
8
0
16
16
0
0
8
8
0
0
0
8
8
2
2
14
0
16
16
16
16
1
16
2
2
8
0
1
1
1
1
16
0
0
16
0
0
0
0
0
16
16
16
16
8
0
0
0
0
8
8
4
0
0
0
4
4
0
24
0
0
0
0
0
0
4
8
31
16
16
16
8
0
8
8
24
0
0
16
0
8
8
8
0
0
4
4
4
0
1
4
4
8
17
8
0
0
32
17
17
0
8
0
1
8
8
8
8
0
16
16
0
0
0
0
16
8
0
8
0
0
32
32
32
17
32
16
16
8
8
0
4
4
4
1
1
0
16
16
0
0
1
1
1
4
4
16
0
32
16
16
0
10
16
1
0
0
0
17
0
0
0
8
8
8
0
4
4
4
4
0
0
26
8
8
4
0
16
16
16
16
0
0
16
45
16
0
0
0
0
0
5
16
16
16
17
36
8
0
8
2
2
2
0
2
0
1
2
2
2
0
0
8
8
0
17
0
0
0
0
0
0
16
16
16
16
8
8
16
16
0
0
0
8
0
0
8
8
0
0
0
24
1
0
0
1
1
1
1
1
8
16
8
16
16
16
0
0
0
1
1
0
0
2
0
0
0
0
0
34
8
0
16
5
1
0
0
0
8
8
8
8
8
8
9
28
0
0
0
1
1
8
0
4
16
8
56
4
0
0
8
8
8
8
20
0
1
18
18
18
18
18
8
8
16
2
2
2
40
8
0
16
16
16
0
8
0
0
0
0
8
16
0
0
12
0
0
8
24
0
32
0
20
1
0
0
16
16
0
0
16
1
16
16
16
4
16
0
0
8
2
2
16
8
0
8
16
16
0
0
0
8
9
0
2
2
2
17
17
17
17
17
8
16
0
13
0
0
0
0
1
9
9
9
9
0
1
1
9
0
0
16
16
16
16
16
16
0
0
0
32
16
0
0
0
16
16
16
16
16
16
2
17
0
0
16
16
16
16
8
0
32
0
0
8
8
0
8
8
8
8
0
8
8
8
0
0
0
0
16
16
16
16
16
16
8
0
0
0
4
4
4
4
0
1
1
0
2
0
0
24
0
0
0
0
0
8
8
0
0
0
0
15
0
0
8
0
0
0
0
0
8
0
0
0
8
8
0
0
8
16
16
16
24
0
16
16
0
2
0
0
10
10
10
2
2
4
4
4
8
17
17
8
0
2
16
16
0
0
0
0
0
8
16
8
0
0
0
0
24
1
1
1
1
0
0
0
0
8
1
0
0
0
0
0
0
0
0
4
0
4
8
0
16
0
0
16
0
0
8
1
8
8
24
2
2
2
0
4
4
16
0
8
8
2
8
10
10
8
8
8
0
0
0
8
0
2
0
0
0
0
8
0
4
4
4
1
1
1
0
4
0
16
32
8
8
8
8
8
8
1
0
32
32
16
4
0
32
32
32
16
16
1
1
8
8
8
24
24
24
24
24
4
4
4
32
16
0
31
0
0
0
32
0
32
16
2
0
0
0
16
8
16
16
1
1
8
0
24
0
0
12
16
24
24
4
0
0
0
0
0
0
1
1
0
0
0
45
0
2
0
0
0
0
0
1
0
16
0
0
0
0
8
0
2
2
0
0
2
2
8
0
0
0
0
0
0
0
0
0
0
0
2
0
16
0
0
39
39
4
8
16
16
16
16
16
16
0
16
0
16
0
0
0
0
2
2
8
0
0
0
0
0
16
34
16
0
0
16
8
16
16
0
3
3
3
3
3
0
0
16
16
16
4
4
8
4
4
0
0
0
5
8
0
0
0
16
0
20
0
0
8
0
0
2
4
0
0
17
0
16
16
16
16
16
0
8
6
8
2
2
16
0
0
5
4
4
4
4
0
0
0
4
4
0
0
0
4
4
16
16
4
25
25
0
0
2
2
2
16
8
0
0
4
4
4
0
0
21
16
8
8
8
8
8
0
0
0
0
8
16
0
2
0
0
0
16
0
16
24
24
1
0
16
8
8
8
8
8
16
16
16
8
8
8
8
0
0
17
0
8
1
1
1
16
4
4
8
4
8
0
0
0
0
0
0
4
0
3
0
8
2
2
24
0
0
0
8
4
16
0
4
0
0
0
8
8
0
0
16
8
4
16
16
16
16
24
0
0
16
16
16
4
3
4
8
0
32
0
8
8
8
8
0
4
4
17
17
0
8
8
0
0
12
12
4
4
4
0
16
24
24
10
0
1
0
8
0
0
0
0
8
8
0
16
0
0
1
24
8
0
9
5
5
32
32
32
32
16
8
2
4
4
8
18
16
16
0
16
16
8
8
8
8
16
0
0
0
8
16
16
16
16
8
8
16
1
0
5
8
4
32
0
0
4
4
0
0
0
0
0
5
4
4
0
0
8
8
8
8
8
8
8
8
8
8
0
0
24
24
0
16
4
0
0
0
32
16
16
16
0
29
29
16
0
24
0
0
0
0
27
27
27
27
0
16
0
8
32
32
32
0
0
16
20
0
4
4
8
0
8
8
27
27
16
16
8
0
8
2
2
8
2
24
24
16
16
8
0
8
8
16
0
8
2
0
0
8
12
0
0
0
0
0
0
4
8
0
16
16
0
16
8
8
8
8
0
0
4
0
0
1
2
2
0
6
0
0
0
0
1
8
0
28
24
24
6
0
0
0
0
8
8
0
1
0
0
24
24
0
0
0
0
0
8
11
0
0
0
0
8
16
0
0
16
16
16
0
8
0
16
0
8
8
8
8
5
5
5
4
0
8
16
0
2
4
4
0
0
0
0
0
0
0
8
0
8
4
4
0
0
32
0
0
26
26
4
4
8
11
0
1
0
0
0
0
0
0
4
16
16
0
4
0
0
8
8
0
2
2
0
9
0
2
0
4
4
4
0
16
16
16
0
0
0
0
8
8
8
8
0
2
2
6
2
2
0
0
0
0
0
0
0
16
17
32
0
0
0
0
0
0
0
0
16
16
24
0
24
16
16
0
12
20
20
20
0
0
2
2
16
2
2
24
4
9
9
17
4
0
0
0
0
4
0
0
0
0
4
4
4
16
16
8
0
32
0
0
0
0
24
20
0
0
4
4
4
4
0
24
24
0
0
0
8
8
8
8
0
0
0
24
54
16
0
0
0
16
0
0
4
4
20
0
16
8
9
9
9
16
0
0
6
8
8
0
8
9
9
9
9
9
0
0
0
8
8
0
0
16
4
0
8
8
8
8
0
0
0
0
8
0
0
8
0
8
4
8
0
0
0
0
16
0
0
0
0
17
0
8
8
8
8
8
8
24
24
12
8
0
16
8
32
32
32
32
32
1
8
0
0
0
0
8
4
0
0
0
8
32
32
32
8
16
0
0
0
0
8
0
8
8
2
8
18
34
0
8
8
0
0
0
8
0
0
0
8
8
16
0
0
2
0
0
0
0
16
4
0
16
0
16
32
16
0
2
2
2
2
0
24
24
0
16
2
4
4
4
0
16
2
2
8
8
8
8
0
0
0
0
16
8
8
8
0
0
4
0
0
0
0
0
8
8
8
8
0
0
0
0
32
32
32
2
0
28
28
32
0
0
16
16
1
1
16
9
9
0
0
0
1
8
0
0
16
0
0
1
0
0
0
16
24
2
0
0
0
20
0
0
0
0
0
0
8
8
1
1
1
24
8
0
0
2
2
16
2
0
16
16
0
0
8
2
2
0
0
24
2
0
2
2
16
16
8
1
16
4
8
8
1
0
9
0
1
1
1
0
4
16
0
0
0
0
20
20
8
8
17
6
6
6
8
8
8
16
24
24
8
8
8
0
10
10
10
16
4
4
4
4
0
0
0
0
0
1
0
2
8
8
0
0
0
16
4
4
4
4
0
0
16
0
8
1
0
8
16
8
8
0
4
8
1
0
8
8
0
8
28
0
16
17
1
0
16
16
8
0
0
0
0
2
4
0
0
2
2
2
8
8
0
0
8
8
0
8
16
17
4
8
8
16
0
8
0
0
4
0
0
8
24
24
24
0
8
0
32
32
2
0
0
1
1
2
37
37
32
32
8
8
16
8
8
16
0
0
0
0
4
0
0
0
0
0
9
1
1
1
8
8
8
8
8
4
0
1
8
5
5
16
0
0
0
0
0
4
8
8
4
0
8
16
0
0
8
8
16
0
0
0
0
0
0
0
16
16
0
0
4
4
4
4
4
4
4
4
0
49
1
8
8
8
0
8
1
0
0
8
0
4
16
16
16
0
0
0
0
0
0
24
24
0
25
0
0
16
8
0
0
8
32
4
4
16
16
0
0
0
0
0
8
16
16
16
4
18
32
0
0
0
8
8
0
0
8
0
32
0
0
4
8
8
0
0
0
0
0
0
0
0
5
5
0
0
0
0
16
8
0
0
0
0
16
16
16
0
0
8
22
0
0
32
0
4
4
4
8
0
0
0
16
16
0
0
0
16
16
0
8
20
20
0
18
18
18
8
18
4
4
0
0
0
0
0
0
8
0
0
0
0
2
8
0
0
0
16
0
0
0
0
4
0
8
1
1
1
1
0
0
0
0
0
0
0
8
4
4
4
1
0
0
0
0
0
0
0
8
8
8
8
8
0
8
16
16
8
8
0
0
0
8
8
8
8
8
2
2
2
8
8
4
4
1
8
0
0
0
2
4
16
0
0
0
0
0
32
32
1
0
0
0
8
8
8
0
16
8
0
8
8
0
16
16
16
16
0
0
0
8
16
0
0
0
0
0
0
16
8
8
4
4
4
0
0
0
0
0
0
0
0
0
0
40
8
8
24
24
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
10
0
16
5
0
8
0
10
10
10
10
1
13
0
8
1
12
0
0
16
0
0
0
0
0
1
1
2
16
0
0
4
4
0
8
0
16
8
16
0
8
0
0
0
0
16
16
8
8
8
0
0
0
0
0
0
0
8
16
16
16
17
1
8
16
0
0
0
0
0
4
0
8
8
32
0
16
16
0
0
16
16
0
0
8
16
16
8
5
8
8
8
8
8
8
0
0
32
8
8
8
0
0
0
0
0
0
2
1
32
18
0
16
0
8
8
8
8
9
16
16
8
2
4
0
24
24
16
16
16
0
16
16
16
0
0
0
0
0
0
16
16
16
16
8
8
8
0
0
16
16
16
16
0
16
16
16
0
16
0
4
8
34
0
0
0
0
0
0
0
0
4
0
2
16
2
4
8
57
57
57
57
57
57
57
8
12
12
4
8
8
16
16
16
0
0
0
8
8
4
9
8
0
8
0
0
8
32
0
0
0
0
0
16
16
16
24
32
10
0
32
16
4
24
0
0
0
2
0
8
0
16
16
16
0
0
0
0
4
8
8
8
0
0
8
24
0
0
8
8
8
8
8
0
0
0
24
24
0
1
1
32
20
16
16
32
0
8
0
0
0
4
4
4
0
2
0
8
0
0
0
8
0
0
0
8
1
20
20
20
16
16
0
0
0
0
1
1
19
22
0
2
3
0
8
8
8
16
16
0
0
8
24
24
0
0
32
0
4
1
8
8
16
0
0
8
0
32
20
24
24
24
0
0
8
18
2
2
4
4
8
8
32
0
0
0
0
32
32
0
0
8
8
8
8
16
8
10
0
0
8
16
0
8
0
10
10
24
24
0
4
0
0
8
0
0
0
5
5
5
5
0
0
0
16
16
16
16
16
1
1
0
16
16
16
0
0
0
0
0
0
0
0
8
4
8
32
24
24
16
0
8
0
8
0
8
8
0
1
1
0
0
0
4
16
0
16
16
0
0
0
0
0
2
27
0
8
8
8
8
24
0
0
0
2
0
8
4
0
16
16
0
1
0
0
1
16
16
16
16
18
12
0
0
0
0
0
0
0
26
26
26
0
16
16
16
16
16
16
0
0
2
0
16
0
0
8
12
4
4
0
8
7
0
0
0
0
0
0
0
8
16
16
8
16
8
8
8
8
8
0
0
0
0
0
0
0
8
8
8
8
4
12
16
16
8
3
16
8
0
8
0
0
0
8
8
0
0
16
16
0
0
16
18
28
16
2
2
0
0
4
40
40
40
40
3
3
8
0
16
1
32
0
21
0
0
0
8
16
18
8
4
32
32
4
4
32
8
2
0
24
24
16
16
8
8
8
0
8
8
8
8
8
8
8
8
8
8
8
0
8
16
0
4
8
36
16
16
24
24
8
0
0
8
8
8
8
1
16
20
0
0
0
18
1
1
1
32
8
0
48
0
48
4
4
4
0
0
16
24
24
2
0
0
2
0
0
28
28
0
4
4
4
4
0
0
16
0
0
0
0
16
0
16
8
8
8
0
16
0
0
0
2
16
4
0
0
0
8
0
0
32
8
1
24
4
0
16
4
8
8
10
0
8
17
17
8
8
8
8
16
0
0
0
0
8
0
8
8
16
16
16
16
16
16
16
0
16
0
0
28
28
0
0
0
16
16
24
24
0
2
2
8
40
40
40
4
8
8
16
0
0
12
0
0
0
1
0
24
24
0
0
0
2
8
8
17
8
0
0
16
16
0
0
0
8
0
0
0
0
0
2
10
10
8
8
8
0
16
16
16
16
0
0
0
4
16
1
0
8
8
8
8
4
0
0
8
16
0
8
8
0
0
8
0
24
24
24
0
16
0
0
8
16
16
16
16
16
0
8
16
16
16
2
2
32
0
0
0
8
8
1
0
8
8
0
16
16
16
16
0
0
0
16
16
16
0
0
0
1
0
8
0
0
8
0
16
16
2
2
0
0
0
8
41
41
16
4
4
0
0
1
0
8
0
8
4
4
16
0
0
0
0
16
0
4
4
8
8
8
2
8
16
0
4
2
12
2
2
8
0
0
0
0
8
8
0
0
0
0
0
16
16
16
16
16
0
24
0
0
1
8
4
4
16
0
0
0
8
8
8
2
1
24
24
16
8
8
0
16
8
8
8
8
8
8
8
2
2
2
2
4
0
0
8
4
4
2
16
1
0
10
16
0
0
0
1
0
0
0
14
0
4
0
16
16
16
16
4
0
0
0
16
16
0
0
0
16
0
0
0
0
0
8
0
0
17
8
8
4
0
8
8
8
0
0
0
0
16
16
0
8
0
8
0
0
0
1
16
0
4
4
0
0
4
16
8
8
8
8
0
2
0
0
0
0
16
16
16
16
16
16
0
0
0
0
0
0
16
8
8
33
33
33
0
0
0
32
0
0
16
16
0
16
16
0
8
0
0
0
16
0
0
0
0
1
1
0
0
1
4
0
0
0
0
24
8
8
0
20
8
8
9
9
16
8
0
0
0
16
16
16
0
16
16
16
16
0
8
8
8
0
0
0
4
8
2
2
24
24
24
24
0
0
0
0
8
0
0
0
0
16
16
0
32
32
32
32
0
0
0
0
0
0
4
4
0
0
8
0
4
8
0
24
0
8
16
16
8
2
2
2
2
18
0
48
16
0
16
2
16
0
16
0
16
16
0
0
0
0
0
0
0
16
16
0
8
8
8
8
4
0
0
8
8
8
8
16
0
0
0
0
0
0
16
0
0
16
8
16
0
8
0
0
0
1
1
0
16
16
16
16
4
8
16
8
8
8
16
16
16
0
0
0
0
1
0
0
17
0
0
8
8
8
8
16
24
2
2
2
0
0
0
0
0
16
0
40
8
0
8
0
17
8
8
0
0
16
16
16
1
1
1
0
8
8
8
8
8
16
0
9
0
0
0
2
2
2
0
9
0
8
8
0
0
0
6
8
16
2
8
0
8
8
8
8
0
8
0
18
4
0
0
0
9
9
0
16
8
0
0
0
32
32
0
0
0
0
8
8
0
16
16
0
16
8
8
0
0
0
16
16
6
2
2
8
16
16
16
4
0
0
0
0
0
0
16
16
32
32
16
16
4
4
0
0
0
8
0
8
8
0
8
0
0
1
3
3
3
3
16
9
16
0
0
0
0
0
32
32
8
8
8
0
8
0
0
0
12
8
16
1
0
0
0
24
4
4
0
13
0
52
8
8
8
4
8
0
0
8
1
8
8
16
9
0
1
1
20
16
4
0
4
24
8
8
0
1
8
0
8
0
0
24
4
0
0
0
0
8
0
0
0
8
8
0
0
0
16
8
8
0
0
2
2
0
8
33
32
0
0
0
8
0
0
0
8
8
8
0
0
2
2
4
0
0
32
0
8
8
6
16
0
0
16
16
16
5
0
0
16
0
0
0
8
0
2
2
0
0
8
8
0
0
2
0
0
0
4
4
0
0
8
0
16
1
16
4
4
13
13
0
2
2
16
17
17
8
8
8
0
16
16
48
0
4
0
0
2
0
0
0
24
2
2
0
16
16
16
16
16
16
0
0
0
0
0
0
0
8
6
0
0
48
0
32
0
0
0
8
8
16
16
16
0
0
16
8
8
8
8
0
0
0
24
0
16
8
8
0
0
12
0
0
0
0
8
24
24
16
16
16
1
1
1
8
0
0
0
0
0
0
0
0
8
1
1
16
19
0
0
0
37
2
2
16
0
4
0
0
0
8
8
8
0
1
0
0
0
0
8
8
8
32
8
8
8
8
8
8
0
0
32
32
0
0
56
0
0
0
0
2
2
0
17
0
0
32
0
8
8
8
8
4
8
0
18
18
16
16
16
16
1
28
28
28
28
28
0
0
0
16
16
16
16
16
0
0
0
0
0
0
0
16
8
0
1
1
1
16
4
4
32
0
8
8
8
8
0
0
8
8
16
8
18
0
0
0
0
24
0
0
0
0
16
16
16
24
24
8
0
8
8
0
0
0
0
0
0
32
8
8
1
1
0
0
0
8
0
0
11
28
8
24
16
16
8
8
8
0
8
16
0
18
0
16
16
8
8
8
8
8
4
4
16
16
32
32
1
1
21
32
16
0
8
0
0
4
8
8
0
0
0
0
32
0
0
0
17
17
0
16
8
0
32
0
0
8
24
1
2
8
0
0
0
0
8
16
16
16
16
49
8
8
32
10
32
32
32
0
16
0
8
8
8
20
2
0
1
8
16
16
0
0
8
8
0
0
40
40
40
8
48
0
16
0
0
0
0
2
0
4
0
20
0
0
0
16
16
0
0
0
0
0
0
0
0
24
1
0
8
8
16
14
14
14
8
8
16
0
0
0
24
2
8
8
16
32
16
18
8
8
8
8
0
8
8
0
0
0
16
1
17
16
0
0
0
0
1
8
8
16
16
0
0
16
16
16
0
16
16
16
1
1
16
16
16
0
0
8
8
0
0
0
0
0
25
25
0
0
8
0
0
8
8
0
0
16
0
16
59
0
8
32
32
0
16
16
16
0
0
0
16
2
2
0
17
0
0
8
16
0
25
25
16
16
16
0
0
0
0
18
0
16
0
4
4
0
0
0
16
16
0
0
0
0
54
16
16
0
32
1
4
0
0
0
4
16
0
0
0
0
18
2
2
16
8
0
0
32
0
16
16
16
16
2
8
2
8
8
0
0
0
8
1
1
16
0
0
8
16
0
0
8
8
0
0
9
4
4
4
0
0
8
8
16
0
8
0
0
0
0
16
16
0
0
0
1
2
2
0
12
16
0
0
2
16
8
1
0
0
0
0
0
8
12
16
2
2
16
16
16
16
0
32
0
0
0
0
0
0
0
17
8
44
4
0
0
0
8
16
4
0
8
16
4
16
0
1
4
0
0
0
0
4
0
24
6
5
16
0
0
0
0
8
8
8
8
8
8
0
1
1
1
0
4
4
4
0
8
8
0
0
0
0
0
0
0
0
0
0
8
4
1
16
0
8
4
8
4
16
16
16
0
6
6
1
16
2
16
2
0
0
16
8
0
1
0
0
0
0
0
0
0
16
0
0
0
1
8
2
0
0
16
0
16
16
0
16
0
8
2
16
16
22
16
16
16
8
8
0
0
4
4
4
16
0
0
0
16
2
16
2
8
8
0
0
0
0
0
8
8
16
0
0
0
0
0
0
0
0
0
8
8
8
0
0
1
8
0
8
0
0
4
4
0
0
0
2
0
0
0
0
16
0
1
32
0
16
0
0
0
2
4
24
0
4
0
0
0
0
8
8
48
48
28
28
1
1
8
12
0
0
48
48
1
16
16
0
0
0
16
16
16
0
8
0
0
15
26
26
16
0
0
0
0
0
0
0
0
0
0
26
0
32
32
1
1
0
0
16
16
8
2
1
0
16
0
32
0
1
8
0
0
8
0
0
16
16
8
8
0
0
0
0
4
0
0
0
0
10
10
10
8
8
4
0
0
0
13
13
8
0
0
0
16
0
0
4
2
4
16
16
0
32
16
16
8
0
0
0
0
0
0
4
1
4
0
0
0
0
0
0
4
4
4
0
0
0
0
38
2
0
1
1
1
1
16
0
16
16
16
40
40
40
4
0
8
0
0
8
8
56
16
16
0
0
17
17
16
1
1
0
2
0
0
0
0
0
1
0
16
16
8
25
0
0
1
0
1
0
0
0
32
0
0
0
4
4
4
0
16
8
8
8
8
8
8
0
0
16
0
0
0
2
2
16
0
8
0
24
0
0
0
8
8
0
0
16
0
0
20
20
20
20
20
20
0
0
0
16
16
4
8
8
8
0
0
0
0
40
40
40
40
0
16
20
20
8
16
48
48
48
16
8
9
0
0
0
14
1
1
1
1
16
1
1
0
0
0
0
0
0
0
0
0
0
0
0
8
16
16
8
8
8
0
0
0
0
4
0
0
8
18
1
0
8
0
0
8
0
0
0
16
0
0
16
16
16
0
0
12
12
12
8
32
1
0
0
8
8
0
0
8
8
0
0
0
0
0
2
4
4
0
16
16
8
8
0
16
0
16
16
8
18
18
18
18
8
8
16
16
8
1
0
0
4
0
0
2
2
2
8
25
25
16
16
0
8
0
0
8
16
16
0
0
0
0
0
1
1
0
0
0
0
0
8
34
16
0
40
24
16
16
4
8
8
0
4
0
0
0
0
0
4
4
4
0
0
0
0
20
1
32
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
19
16
16
0
0
16
16
16
16
16
0
0
4
18
18
0
0
0
12
0
0
1
0
0
0
16
0
0
16
1
1
1
2
0
1
0
24
1
8
8
0
33
33
0
0
0
4
0
8
8
8
16
16
16
1
0
0
10
0
0
0
0
0
4
8
48
48
16
8
8
8
8
8
0
0
0
9
16
0
18
18
0
0
0
0
0
0
0
4
4
0
0
16
8
13
5
0
0
8
8
8
8
0
16
8
8
8
0
0
0
0
0
2
0
0
0
0
0
12
0
8
0
0
8
4
8
0
0
1
0
8
0
16
16
8
12
0
0
0
0
1
0
0
0
8
0
0
0
0
32
32
0
8
8
16
0
0
0
0
4
24
4
8
8
8
8
8
8
8
24
40
40
40
4
4
8
0
8
4
4
16
16
8
25
0
0
24
17
16
0
1
1
0
0
16
16
12
16
16
16
9
1
16
2
17
4
0
8
8
8
8
4
8
8
4
4
24
24
0
1
1
1
1
1
1
1
16
0
16
8
0
0
4
4
5
5
0
0
8
8
8
0
0
1
1
0
0
0
0
0
0
8
0
0
0
0
0
0
0
8
0
10
10
1
0
4
8
18
0
0
0
1
2
8
0
0
0
2
4
16
8
0
8
32
32
0
16
0
0
0
0
0
0
0
2
2
2
2
2
0
34
34
8
32
0
0
0
0
8
8
4
8
1
8
4
8
0
0
0
8
8
8
8
0
0
0
16
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
1
0
4
4
16
48
1
8
0
0
16
0
0
0
0
8
24
24
0
0
0
0
0
16
0
0
0
16
0
0
16
16
16
16
16
16
16
16
16
16
16
16
16
16
1
0
1
9
0
0
0
0
4
16
0
8
4
2
2
0
8
8
8
8
16
8
8
8
0
8
0
0
0
0
8
8
0
24
8
48
4
0
0
0
16
0
0
0
8
0
32
0
0
0
0
16
16
12
12
0
9
9
0
3
0
16
16
8
8
8
0
16
16
16
0
0
4
4
0
0
0
0
16
0
0
0
8
8
16
16
16
8
24
16
0
8
8
0
0
0
0
0
0
0
8
8
8
8
8
0
0
0
24
24
24
33
0
20
20
20
20
1
16
16
4
32
8
8
8
8
8
0
0
0
16
0
0
24
24
16
16
0
0
8
16
16
8
16
1
1
0
0
17
0
1
1
1
1
8
0
16
2
2
0
0
4
0
0
32
16
8
0
33
33
24
0
8
8
0
4
8
0
0
0
0
8
8
16
0
0
8
8
8
8
0
0
0
0
0
8
4
16
0
0
0
0
0
0
16
0
0
0
0
0
8
8
0
16
16
16
0
20
0
0
4
4
4
4
4
16
16
0
8
0
0
8
0
16
16
8
0
0
8
2
16
0
8
8
16
4
4
8
0
0
0
0
8
16
2
0
8
8
4
4
8
0
36
0
0
0
0
4
0
16
16
16
16
16
16
8
0
24
0
0
32
32
32
8
32
1
0
2
0
0
1
1
0
0
2
16
16
0
18
9
9
16
24
16
8
8
0
0
1
1
1
1
8
8
0
28
0
16
9
9
9
0
0
0
0
4
0
8
8
8
8
8
16
16
8
0
16
16
16
0
0
0
8
8
0
8
8
0
4
0
8
0
0
0
32
8
0
8
8
4
10
10
10
0
24
0
33
0
0
4
0
0
0
16
8
0
0
0
0
8
20
20
0
0
0
0
0
8
0
4
4
4
0
0
8
8
9
8
8
16
0
0
0
0
0
0
0
1
1
0
0
0
8
0
16
0
0
0
16
0
6
8
0
0
0
2
9
9
0
0
0
0
16
8
0
0
0
16
16
4
1
1
0
5
5
24
8
0
0
10
16
8
0
40
0
0
2
0
0
0
8
20
4
0
0
0
0
0
16
16
16
0
0
4
4
0
9
0
16
0
0
0
0
1
32
32
32
32
1
0
0
1
1
1
1
1
0
0
4
1
0
0
0
0
16
0
0
8
0
8
8
0
0
0
4
16
8
8
12
0
8
8
0
0
0
0
17
8
8
0
0
0
4
8
0
17
17
32
16
0
0
4
4
4
0
0
16
1
8
8
8
8
0
16
32
8
1
16
0
16
16
16
16
16
16
0
0
9
0
16
0
0
0
0
1
0
0
1
16
16
0
1
1
8
8
8
0
0
1
1
24
4
2
8
8
8
8
8
1
0
0
0
16
1
0
0
0
0
0
2
2
18
40
1
32
0
0
16
16
1
8
0
16
57
57
0
2
4
2
24
0
16
0
0
16
16
8
8
1
16
0
0
8
8
4
4
4
3
3
8
16
0
0
16
16
16
8
20
20
24
24
4
4
16
8
8
16
16
16
16
3
0
32
32
0
28
0
0
16
16
45
0
0
0
0
0
8
8
8
8
8
0
0
0
0
16
0
0
16
0
32
32
8
0
2
8
0
32
32
16
0
4
4
4
4
4
4
4
4
8
8
0
0
28
0
0
0
0
1
0
16
4
16
16
56
1
1
8
8
0
0
16
16
16
32
0
0
0
0
0
0
16
16
0
0
0
0
16
16
0
8
1
0
16
0
0
0
0
0
16
16
32
32
0
0
0
0
0
0
8
24
0
0
24
8
8
8
8
8
17
8
0
0
0
0
40
0
8
0
0
0
8
33
33
33
33
33
8
8
8
0
0
0
0
16
0
4
16
1
0
0
12
9
1
9
9
9
9
9
8
1
8
0
37
37
37
0
56
4
0
1
8
8
8
0
0
0
0
0
0
0
0
20
32
8
2
8
8
21
8
16
8
1
1
5
0
20
22
16
16
8
8
0
0
0
0
8
8
0
0
8
16
0
0
0
0
0
8
0
0
8
8
4
4
4
1
1
0
4
16
16
16
16
8
16
0
0
2
2
8
24
24
24
0
16
8
0
8
24
24
24
24
24
16
0
32
8
16
16
16
0
0
0
0
0
0
2
8
0
0
0
0
16
1
0
0
24
4
16
0
0
0
0
4
4
16
0
8
0
8
0
2
0
0
0
0
28
8
1
1
0
0
0
0
8
0
0
8
8
8
0
33
0
0
24
0
0
0
0
0
4
4
4
0
16
16
16
16
4
0
16
8
0
4
4
4
0
18
8
8
8
4
0
0
0
24
0
0
0
0
0
28
16
16
20
1
8
8
8
0
0
9
9
8
0
16
16
0
0
0
0
8
8
4
0
16
8
8
18
1
0
8
0
0
0
0
8
8
8
0
0
16
0
0
0
0
0
0
0
0
0
8
20
20
16
8
16
16
16
0
20
20
0
0
8
8
24
16
16
8
0
0
8
8
4
4
4
16
8
0
0
0
0
4
4
4
0
16
0
1
0
0
0
0
0
0
0
8
0
0
0
0
0
0
8
0
0
1
8
8
1
0
8
4
0
8
0
0
8
19
0
8
8
0
28
16
2
2
8
8
8
8
8
0
0
40
40
56
56
9
16
0
0
8
2
2
16
16
0
0
0
0
0
8
0
0
0
0
1
16
16
8
8
8
8
8
8
16
16
16
0
0
0
0
0
0
16
8
0
4
18
16
8
8
6
6
6
1
1
16
8
16
18
18
0
8
8
8
0
16
8
8
20
0
0
0
0
0
24
8
8
8
0
0
0
1
0
10
0
2
8
0
2
2
8
8
8
8
16
16
8
8
0
0
1
2
4
0
0
0
8
0
4
16
17
17
8
8
16
17
0
32
16
8
0
0
4
4
44
0
16
0
0
8
2
0
0
0
30
8
8
8
8
8
0
16
0
8
2
2
2
2
2
0
24
8
8
0
0
16
0
0
0
0
16
0
0
24
24
0
0
0
0
0
8
8
8
2
8
2
5
16
0
0
16
16
0
0
0
0
0
0
0
8
8
0
4
0
0
0
0
0
2
2
0
0
0
0
8
12
0
8
8
8
16
0
0
0
0
0
20
8
1
0
0
0
8
0
0
4
8
0
32
32
32
8
32
16
0
0
0
0
4
0
20
20
1
1
1
2
0
0
8
8
8
8
8
32
2
2
0
0
0
0
8
8
0
16
18
18
4
2
16
0
0
0
8
8
8
8
0
2
0
32
8
4
4
0
0
36
36
36
25
32
0
0
20
20
4
4
16
16
16
0
1
0
0
16
0
34
16
0
8
8
28
28
32
0
0
0
17
8
0
0
0
0
0
0
0
0
8
16
0
0
0
2
8
8
4
0
8
8
8
16
16
16
0
4
8
16
16
4
1
9
9
9
9
9
9
16
16
16
16
0
2
2
8
0
16
24
16
24
24
16
2
32
1
1
4
1
1
1
2
0
8
8
8
0
0
0
0
0
0
0
0
16
0
0
0
8
0
0
0
0
0
0
8
0
8
8
8
8
8
8
8
8
2
0
0
0
16
16
0
8
16
16
16
16
8
8
24
24
24
8
0
0
2
2
2
0
8
8
8
1
0
0
8
2
8
16
8
8
8
1
1
16
2
4
0
0
16
16
0
16
16
2
2
8
8
0
8
0
0
0
4
0
0
0
0
0
8
8
0
32
8
1
1
1
1
1
0
0
32
1
8
1
16
8
2
16
0
0
0
0
0
1
2
0
0
0
20
20
20
20
8
0
16
16
0
0
16
1
1
1
4
8
0
32
8
52
0
24
16
0
2
2
2
8
0
0
0
34
1
0
8
0
8
4
0
1
0
0
24
8
0
8
8
0
9
0
0
8
1
12
12
12
12
16
16
16
16
0
16
0
0
8
8
1
0
0
16
13
13
13
13
13
8
0
0
0
8
0
8
8
8
0
8
8
8
0
0
0
0
0
4
0
16
0
8
0
0
20
4
4
0
0
2
0
0
8
1
0
0
0
8
16
0
8
8
32
8
0
0
18
0
16
9
2
4
4
4
4
32
0
16
0
0
4
0
0
0
16
32
0
0
0
0
0
0
4
4
4
4
10
0
8
4
8
16
1
1
1
1
1
1
8
0
0
0
0
0
2
0
0
0
0
0
8
0
8
8
8
0
0
0
0
0
8
8
0
0
8
0
16
1
16
0
8
8
16
16
4
4
0
0
4
17
16
4
8
0
0
4
16
16
0
8
8
56
56
18
0
8
28
28
28
2
2
2
8
8
0
2
2
2
16
16
16
1
0
0
8
0
0
0
0
0
0
0
0
0
2
2
2
8
0
0
0
1
20
8
8
1
2
0
4
4
8
8
1
1
2
0
0
8
24
4
0
8
8
8
8
0
0
16
16
0
16
16
16
0
0
0
1
1
1
1
1
2
0
0
0
8
16
0
16
0
0
0
4
8
0
8
16
0
4
0
0
1
4
2
16
0
0
0
2
2
0
0
16
16
0
0
1
0
0
0
5
4
0
0
0
0
0
1
8
2
2
8
0
32
0
0
0
0
8
8
0
0
0
16
16
16
1
8
0
0
0
0
32
0
16
0
0
0
8
8
8
0
35
35
32
8
0
1
1
0
0
0
8
4
4
4
4
8
8
8
32
16
16
16
4
4
24
0
0
0
0
0
0
0
1
1
1
0
0
16
58
0
0
0
0
0
0
0
16
2
2
17
8
4
1
1
0
0
8
18
18
18
12
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
16
56
56
0
0
0
4
4
2
2
1
40
0
32
32
0
0
0
0
0
0
0
0
0
0
8
16
0
28
8
0
0
0
0
8
0
2
1
0
0
0
0
0
1
0
4
4
4
32
0
8
4
0
0
1
1
1
0
0
0
0
8
0
8
8
42
0
0
4
0
0
8
8
0
8
0
4
16
16
16
16
16
12
12
13
0
4
0
0
32
32
32
32
40
42
40
16
0
0
16
8
8
8
8
0
0
0
16
16
29
0
0
24
16
16
16
0
8
0
16
16
8
16
0
8
0
0
16
16
0
0
1
0
0
0
0
0
8
4
4
0
10
0
4
8
0
0
0
0
16
2
2
2
0
8
0
0
0
24
28
16
16
16
0
0
0
16
8
8
8
9
0
8
8
8
4
0
8
0
0
0
8
8
4
2
2
2
1
16
4
1
1
1
8
32
32
8
0
8
32
0
0
0
16
0
0
0
24
24
24
32
0
8
29
8
16
0
0
16
0
8
4
4
0
8
8
0
0
0
0
34
16
16
16
16
8
16
0
2
0
24
0
17
17
17
0
0
0
0
0
0
0
0
0
8
8
9
9
0
0
0
0
0
0
0
0
0
0
0
16
8
0
0
12
12
12
12
24
0
0
8
4
8
12
0
4
4
0
1
1
4
4
32
0
0
0
0
32
32
0
2
2
2
2
16
16
0
0
0
1
1
0
0
0
0
16
16
16
16
16
8
0
0
0
0
8
1
1
16
16
0
16
16
16
0
0
2
48
48
0
8
0
0
6
0
0
8
8
8
24
24
22
8
8
0
0
0
4
4
0
8
16
16
0
0
8
8
8
4
16
8
8
0
0
0
8
8
8
0
8
0
0
16
0
0
2
1
1
0
0
8
0
0
0
8
16
25
25
25
4
0
8
22
22
22
22
0
9
9
8
8
9
9
9
4
0
8
8
4
0
0
0
0
0
0
0
0
0
0
24
0
4
16
20
0
0
0
0
4
24
24
0
8
24
24
29
29
2
8
0
16
16
8
8
8
8
16
16
0
0
20
0
0
0
0
0
0
8
1
0
0
0
17
2
0
0
16
16
16
2
56
16
1
14
2
0
0
0
4
0
8
8
8
8
2
0
16
0
60
8
4
4
0
25
25
8
1
8
0
1
16
24
0
16
16
16
2
0
0
4
18
18
0
8
8
8
0
0
0
0
16
0
0
0
8
8
0
0
4
8
0
0
24
0
0
2
16
8
16
0
0
4
0
1
1
0
0
0
16
2
2
2
8
8
0
1
0
8
16
16
16
16
10
0
0
0
8
8
0
4
24
12
0
0
0
0
0
0
8
1
16
2
16
16
8
1
2
2
16
0
8
16
0
2
2
0
0
0
0
10
10
0
2
1
0
0
4
0
8
4
0
0
0
0
0
0
4
0
0
0
8
2
16
16
16
0
8
16
16
12
0
0
0
0
0
0
2
2
2
16
16
0
0
0
0
8
16
0
0
0
0
0
8
0
0
0
0
0
0
24
24
24
4
0
0
0
16
16
16
16
16
16
4
0
0
0
0
0
0
8
8
16
20
20
0
0
0
8
8
8
8
8
1
1
8
0
8
8
14
0
1
0
0
0
0
2
8
8
0
0
12
0
0
0
0
0
1
2
2
16
16
0
0
0
0
0
1
0
8
32
32
8
40
40
40
40
40
40
40
40
0
0
17
2
16
0
0
0
16
0
0
0
16
16
0
0
0
0
0
0
56
40
0
0
0
0
0
8
8
8
24
0
0
0
16
16
24
24
4
0
0
32
8
8
16
16
16
16
0
22
20
0
0
12
1
0
16
16
16
0
0
16
16
16
16
0
0
0
0
0
1
0
16
0
0
0
16
0
0
25
25
2
0
4
4
24
0
32
16
16
1
0
0
0
6
0
0
0
2
2
2
2
2
0
16
16
16
0
4
4
0
0
0
4
16
16
18
16
8
0
8
1
8
8
8
16
8
16
16
4
0
2
2
0
0
16
0
0
0
0
0
0
0
0
0
0
24
0
0
0
0
8
0
0
16
8
16
16
2
0
8
8
0
0
24
0
0
2
16
8
8
4
4
0
2
2
1
8
8
0
4
8
0
0
8
16
8
8
2
17
0
0
16
0
0
4
1
1
1
16
8
9
16
0
0
15
16
4
16
0
16
0
0
0
0
0
0
16
2
0
0
12
12
0
0
1
1
1
1
1
0
0
9
8
8
0
0
0
8
0
16
16
8
8
0
8
8
8
8
8
24
18
18
18
0
0
8
32
32
32
32
32
32
32
10
8
1
1
0
16
16
16
16
0
1
2
16
16
0
0
0
0
0
0
8
8
8
12
8
8
8
4
0
0
0
8
8
0
0
8
0
0
0
0
8
8
0
0
0
2
8
0
0
0
0
0
0
16
16
16
0
4
4
8
8
8
0
0
8
0
0
0
0
8
0
2
0
16
16
0
8
0
0
8
16
0
16
0
8
0
0
32
0
0
0
0
0
8
8
16
0
0
8
12
12
12
16
16
0
0
0
1
1
0
0
8
0
0
8
8
0
1
5
5
8
8
8
0
0
0
0
8
0
0
0
0
0
0
4
4
16
16
0
0
1
1
1
0
12
0
16
0
2
16
16
0
0
0
16
8
0
8
4
8
16
16
0
0
50
16
0
0
12
8
0
16
16
1
0
0
0
0
0
32
0
0
16
16
0
0
2
18
32
32
32
32
32
0
40
0
0
0
0
0
2
8
0
0
8
16
8
0
16
16
32
0
0
0
4
4
4
16
1
0
32
16
0
26
0
0
9
8
2
4
4
8
8
20
20
8
4
0
0
8
8
8
0
0
0
1
8
16
16
0
0
17
0
20
20
20
0
0
4
2
2
16
16
16
1
16
0
0
0
48
8
8
16
16
0
0
0
1
0
0
1
1
0
0
4
0
16
16
4
16
8
0
0
0
8
0
0
0
2
2
0
20
0
32
0
16
0
16
16
8
8
0
28
28
28
28
10
0
0
0
16
5
2
2
0
0
0
24
32
1
44
0
0
0
0
0
0
8
16
0
0
0
0
0
0
0
0
0
0
0
1
1
9
0
4
8
0
0
0
0
0
0
0
0
0
0
12
8
0
0
0
0
0
0
20
22
0
0
18
18
0
8
4
4
1
0
0
0
8
0
0
0
0
0
0
0
0
0
2
1
4
8
0
16
33
4
8
8
8
0
0
0
8
32
0
16
16
20
20
0
0
0
0
0
0
0
0
8
8
8
8
0
24
24
24
0
0
24
24
24
8
8
0
32
0
2
2
2
1
0
0
0
0
8
0
0
0
0
8
8
8
48
4
0
0
0
0
0
0
0
24
24
24
24
24
16
8
0
0
0
16
4
0
0
8
1
1
0
0
0
0
0
0
0
0
4
11
11
8
48
8
8
0
0
8
8
16
16
16
14
14
14
14
14
1
0
16
0
0
0
20
17
16
0
0
4
0
0
0
0
0
25
0
0
0
8
16
0
0
20
16
8
8
28
2
4
4
0
16
16
8
24
24
9
8
0
8
32
16
0
16
12
0
28
0
0
0
0
0
0
0
0
4
0
16
17
8
0
8
2
2
2
0
0
0
0
0
0
0
4
8
0
0
8
0
0
0
0
0
8
8
8
16
8
0
0
0
0
16
0
0
0
0
0
0
0
0
1
0
8
2
2
0
0
0
0
0
1
8
8
8
0
4
4
4
0
0
0
0
16
4
4
4
0
0
0
5
5
0
0
0
16
16
0
0
8
4
0
16
8
16
0
0
8
9
1
9
0
0
0
0
0
2
2
0
1
8
8
0
0
4
16
16
16
8
8
0
16
16
33
33
33
2
16
0
16
16
16
16
0
0
0
4
4
4
4
4
4
8
8
0
0
0
0
0
16
0
8
0
0
0
0
8
0
0
0
8
4
4
4
0
0
41
0
0
8
16
40
40
40
0
0
0
16
0
0
0
0
0
8
0
8
8
1
0
8
4
0
0
8
0
0
8
8
8
0
8
18
0
0
0
32
32
6
16
16
8
16
16
16
0
0
0
16
16
16
16
0
0
0
0
0
0
1
16
0
0
0
0
0
0
18
17
0
8
16
8
8
8
1
8
8
8
1
0
17
0
2
8
8
0
0
16
16
16
0
0
8
8
0
4
36
16
8
0
0
4
0
4
8
2
8
0
8
1
0
16
16
0
16
0
0
0
10
0
8
0
2
16
0
0
16
16
0
0
0
0
0
16
0
0
16
16
16
0
8
0
0
1
32
32
0
16
16
16
0
0
16
16
16
8
2
0
8
8
8
8
8
8
8
0
0
0
8
41
0
0
0
16
4
16
8
1
16
0
0
0
9
9
9
9
9
9
9
9
9
9
9
9
0
1
0
0
0
0
0
0
0
0
0
8
0
0
0
4
0
25
8
0
0
8
8
16
1
1
26
0
0
0
0
0
0
16
8
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
1
8
0
0
0
0
8
8
8
0
12
12
8
4
4
8
0
0
0
16
16
0
0
16
0
0
0
9
4
4
0
0
16
1
0
0
4
4
16
8
16
16
0
0
0
0
0
0
1
1
0
0
0
0
0
8
8
0
0
8
8
8
0
0
3
0
0
16
16
8
0
8
0
4
8
16
16
16
0
0
1
1
0
12
8
0
0
0
1
1
1
16
8
8
16
8
0
0
0
0
0
1
1
1
8
8
8
8
8
0
8
8
8
8
8
0
0
0
0
0
16
16
8
16
0
1
1
8
16
16
16
8
0
32
8
0
8
0
2
1
16
8
0
16
0
8
16
0
16
0
16
8
0
1
1
1
8
0
0
0
32
32
0
0
0
8
16
0
0
0
16
16
1
1
16
16
24
0
32
4
16
0
0
0
0
0
0
0
0
0
0
18
4
0
0
0
0
0
0
0
8
4
4
0
0
8
4
8
8
0
4
0
8
0
0
0
0
10
4
16
0
0
0
0
8
16
0
0
0
0
9
9
3
0
4
52
16
0
16
8
8
9
0
0
0
16
0
0
24
0
0
0
0
0
0
16
16
0
0
0
0
2
2
2
0
0
0
16
16
16
1
8
0
0
0
0
2
4
8
29
2
8
8
0
8
8
8
4
24
0
1
0
8
40
16
8
0
0
8
8
12
12
0
8
8
0
0
0
0
0
0
0
8
8
8
0
0
8
16
8
8
8
8
0
0
0
0
26
0
0
0
0
0
0
0
0
0
0
16
0
16
24
24
0
16
18
18
24
0
0
0
4
4
4
0
8
0
2
16
0
0
0
0
0
0
0
0
0
8
0
0
16
0
0
1
8
8
8
0
43
0
0
0
0
8
8
0
0
8
8
8
8
8
0
8
40
0
0
16
0
0
0
0
0
0
16
16
16
0
4
4
4
0
0
0
8
0
0
0
0
0
0
0
8
0
0
5
0
1
16
0
1
16
0
1
8
16
1
0
16
16
56
8
8
0
48
0
0
0
0
16
0
8
0
0
0
0
0
0
0
0
0
1
32
8
8
16
16
16
24
4
4
4
4
8
0
16
0
2
2
2
0
0
0
0
8
8
8
0
0
0
0
0
16
8
17
17
0
17
17
26
26
0
0
0
0
9
0
0
0
0
0
0
0
8
16
0
0
0
24
0
0
0
1
1
1
0
16
8
32
0
0
0
8
8
16
8
8
0
2
16
16
4
4
0
0
0
4
8
0
0
0
0
0
0
6
6
0
8
0
32
24
16
16
16
16
16
32
8
8
8
8
8
0
8
0
0
8
1
1
0
4
0
2
0
0
0
32
32
8
0
0
0
8
8
8
0
0
0
0
0
0
4
0
0
0
10
16
0
1
16
16
8
0
0
0
0
0
16
16
0
16
8
8
8
0
40
40
18
0
8
8
24
8
4
4
0
0
0
0
8
8
1
2
0
1
1
8
16
16
16
16
24
0
0
16
16
8
8
0
0
0
1
1
8
0
8
8
8
8
8
0
0
0
34
0
16
16
0
16
0
0
4
0
16
0
24
24
0
2
2
12
1
8
0
0
8
0
0
0
0
0
0
8
0
0
0
0
20
0
0
8
0
0
0
0
0
0
8
0
4
4
16
0
0
0
0
0
8
2
4
4
8
0
16
8
8
8
32
32
20
0
24
16
8
1
8
16
16
0
8
4
8
0
0
0
9
1
1
0
0
0
0
0
8
8
0
1
1
16
16
16
16
16
16
16
16
16
16
0
0
0
0
16
16
8
0
8
0
8
0
0
0
24
8
0
8
4
8
16
16
13
16
16
0
0
17
20
4
16
16
16
16
0
0
0
0
8
10
8
16
0
0
0
0
0
0
0
0
16
16
0
16
13
13
16
16
16
0
0
0
0
8
32
32
32
0
0
0
0
30
30
1
1
16
8
0
0
0
10
10
4
1
8
8
16
0
8
8
8
8
0
0
0
0
8
8
32
0
0
0
0
8
8
8
2
2
2
2
2
16
16
8
0
32
32
0
2
2
4
4
8
8
8
0
0
8
8
8
0
4
8
0
0
0
0
0
8
8
0
8
0
33
1
16
16
0
1
0
4
0
16
1
0
0
0
2
8
0
1
0
8
17
16
8
49
49
49
49
32
0
0
34
1
0
0
0
8
8
0
0
16
16
16
0
0
0
1
1
0
16
0
2
0
1
16
0
0
4
0
1
1
1
8
8
0
0
24
0
1
0
16
16
16
16
16
16
16
16
16
16
16
8
0
0
0
16
16
1
0
0
4
4
4
0
0
2
16
8
1
1
0
8
0
0
0
0
0
0
0
8
0
0
8
0
8
0
0
16
16
16
16
16
8
8
8
8
8
8
8
16
16
24
0
8
8
0
0
0
24
6
6
0
0
0
8
16
4
8
8
4
4
8
0
1
0
0
0
0
24
0
0
0
0
8
0
0
0
4
4
4
8
33
51
32
32
32
32
0
0
0
0
8
0
0
0
8
0
0
0
0
0
1
4
8
8
8
0
16
8
2
0
0
16
0
8
8
0
32
0
0
0
1
8
4
8
8
0
4
28
16
0
0
17
0
0
4
0
0
16
0
0
16
16
8
16
16
0
0
0
2
2
0
0
4
0
4
0
0
0
8
8
8
0
0
16
0
0
32
32
32
17
17
0
2
0
16
0
1
1
1
1
1
1
8
8
0
0
0
0
0
4
4
8
0
0
1
0
16
4
4
0
4
0
16
16
16
0
12
12
0
0
0
8
0
0
0
0
4
32
0
0
16
0
0
0
8
0
0
0
8
8
0
4
4
4
3
26
16
8
25
8
0
0
0
13
13
0
8
0
0
0
0
33
4
48
8
8
1
1
8
0
0
0
0
0
0
16
0
0
0
0
0
0
8
8
0
12
0
0
0
0
0
8
0
0
0
16
16
2
0
16
16
8
1
0
0
0
4
0
8
0
0
24
0
16
16
16
16
0
4
0
8
8
8
8
48
17
0
0
0
16
16
16
16
1
0
0
0
0
0
8
4
0
0
2
0
0
0
16
4
4
4
8
16
24
24
8
0
16
8
8
8
0
0
0
0
0
0
0
0
0
8
4
4
4
16
16
0
0
8
8
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
48
0
8
16
16
0
0
0
0
0
0
0
4
4
0
0
0
8
8
8
8
8
32
4
8
4
32
0
0
1
8
0
8
2
0
0
0
8
16
0
0
0
16
0
0
8
8
8
8
1
4
8
40
40
40
0
8
0
0
8
8
0
0
0
0
4
4
8
4
0
1
0
0
0
0
0
24
24
24
24
8
0
2
2
2
8
23
0
0
0
6
0
4
2
0
0
8
8
16
16
0
0
0
2
0
0
0
0
16
8
0
1
1
1
0
0
1
0
4
8
20
20
8
16
16
16
16
16
16
16
0
0
16
16
4
0
0
0
9
0
0
4
4
5
5
2
2
8
8
8
8
0
24
0
0
0
0
8
8
16
8
24
24
8
8
8
4
4
8
2
0
0
4
16
16
0
0
16
0
1
0
2
2
2
8
8
8
8
8
8
0
0
0
32
0
16
8
0
8
0
0
4
16
16
8
0
0
0
8
8
8
0
35
35
35
35
35
0
0
0
8
0
0
0
4
0
8
1
1
0
0
0
17
0
0
0
5
5
2
8
16
0
0
0
0
0
16
1
0
0
0
8
8
8
0
4
0
8
8
16
8
0
40
40
40
8
8
8
0
32
0
4
8
4
4
48
48
48
16
0
4
0
0
0
8
2
10
2
10
0
8
16
0
4
4
4
4
0
0
0
8
8
0
12
0
16
2
8
1
1
1
1
0
0
16
26
8
0
18
18
18
16
16
16
0
0
0
0
17
17
17
4
16
0
8
8
17
16
1
8
0
8
0
8
8
8
0
0
0
0
0
0
4
0
0
8
0
8
8
8
8
4
32
32
12
8
0
8
0
20
0
0
8
1
0
0
0
0
0
17
17
17
0
0
0
16
2
2
8
8
8
0
8
4
0
0
0
0
16
0
4
4
4
2
2
8
8
0
0
8
0
8
16
1
8
0
0
18
16
16
16
4
4
18
18
18
8
0
8
16
16
16
0
0
0
0
16
16
16
8
0
0
8
8
0
1
0
0
0
0
8
16
42
4
0
0
8
16
16
1
0
2
22
0
16
0
0
2
10
10
0
0
8
0
57
16
48
5
5
5
8
8
0
8
0
0
4
4
16
16
16
16
0
0
0
0
0
0
0
8
8
8
0
0
16
0
1
1
1
1
0
0
0
0
8
8
4
0
1
13
32
0
0
0
0
0
8
0
32
32
12
12
4
8
8
16
16
16
0
20
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
4
16
16
8
8
12
12
0
0
0
16
16
32
4
0
1
0
0
32
0
0
0
0
0
4
4
4
4
4
4
4
4
8
0
0
0
0
0
0
0
0
0
0
32
32
8
8
0
2
4
4
4
0
0
0
0
2
2
16
16
16
1
16
0
0
16
0
8
0
0
0
0
0
0
0
0
0
32
32
32
32
20
20
0
0
32
32
32
0
0
0
2
8
0
0
0
0
0
0
0
0
8
8
8
1
0
24
16
24
16
1
0
0
1
1
0
8
8
0
8
16
0
0
1
1
8
8
0
0
32
32
32
32
0
24
0
0
6
0
0
0
0
1
22
0
16
8
16
0
2
0
4
16
36
32
16
16
17
8
8
16
8
4
4
4
4
8
0
0
2
8
0
1
0
0
0
0
8
32
8
59
2
4
16
36
0
0
0
28
28
0
0
0
0
0
0
35
35
0
8
0
8
8
16
8
0
0
0
16
0
16
0
1
20
4
24
0
12
0
0
0
2
2
2
4
17
16
0
32
16
0
16
20
0
0
0
0
8
0
24
16
0
4
0
0
16
0
0
2
26
0
0
0
16
16
8
8
8
0
8
0
1
8
8
8
8
8
0
8
42
42
2
2
2
2
2
24
0
9
0
0
25
1
1
1
8
0
0
0
0
0
0
0
2
0
48
48
48
48
2
16
16
16
8
8
8
8
8
8
0
8
1
0
0
0
0
0
8
8
0
0
0
0
8
16
16
1
0
0
0
0
0
16
16
16
0
8
18
0
17
5
0
0
17
17
0
0
0
0
16
16
0
0
16
16
16
4
4
8
8
8
0
0
4
24
0
0
1
0
24
24
24
24
0
0
16
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
8
58
58
0
8
8
8
18
8
8
8
8
8
16
16
16
16
4
4
4
0
8
8
8
0
8
8
0
0
0
0
0
0
0
0
0
32
4
0
0
0
0
16
32
0
4
8
8
8
0
0
0
0
16
8
8
0
4
4
0
0
0
32
32
16
16
0
0
0
0
20
0
0
0
0
16
0
0
16
2
0
8
8
8
8
8
8
8
8
8
16
16
8
16
16
16
0
5
5
0
0
8
0
0
0
0
16
8
20
8
8
0
0
0
0
0
16
16
4
2
2
2
4
4
9
0
8
0
0
16
16
16
16
16
16
8
8
8
0
8
8
16
16
2
2
8
0
0
0
4
0
16
57
4
8
8
0
16
16
8
8
0
4
4
0
0
0
16
8
16
0
1
1
4
4
1
1
1
1
1
1
4
4
8
6
0
0
0
16
16
16
8
0
0
8
0
0
0
0
8
16
16
16
8
8
0
0
0
16
8
8
2
2
2
2
2
3
3
0
0
8
2
16
1
1
8
8
8
10
10
4
4
4
0
8
0
0
0
1
1
1
0
8
1
8
32
2
0
4
0
0
8
0
0
8
1
0
0
8
8
1
1
4
4
24
2
2
0
0
0
2
16
0
0
4
0
0
0
0
0
0
8
8
8
0
0
0
0
0
16
2
0
0
0
4
0
0
0
0
0
0
16
16
1
0
0
0
2
9
16
16
2
2
8
0
0
0
16
2
16
0
0
0
0
0
8
8
8
8
8
8
8
16
0
0
0
0
0
0
0
1
0
0
4
0
0
0
0
8
1
0
0
0
0
0
8
0
2
0
16
1
1
24
24
0
0
0
0
16
16
4
4
4
4
0
0
8
8
8
16
16
16
16
0
16
16
0
0
0
16
4
21
2
0
0
1
8
8
24
16
16
1
1
16
62
0
0
8
8
0
0
6
0
0
8
15
32
4
4
1
1
1
0
0
0
8
8
0
0
0
0
0
62
62
62
62
24
0
8
0
0
0
0
0
0
8
0
16
8
8
0
8
24
0
0
1
0
8
8
8
8
29
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
8
8
8
16
17
8
20
0
8
4
0
2
17
16
16
0
0
8
0
8
4
8
8
0
1
0
0
0
16
8
16
8
8
0
25
0
4
0
0
16
0
0
0
0
2
48
0
0
8
8
4
0
0
0
0
0
28
0
12
12
0
0
0
0
0
0
16
1
0
0
8
1
16
0
0
0
0
0
16
8
0
8
4
4
4
0
0
16
16
0
8
8
0
8
0
13
4
4
0
0
4
0
0
2
0
49
8
0
8
16
0
25
25
0
8
8
0
8
4
4
0
0
0
16
16
0
2
0
16
8
4
28
28
16
16
0
0
0
0
0
0
8
8
0
0
0
8
0
0
0
0
1
1
1
8
16
16
16
4
0
0
0
0
0
8
0
1
0
0
0
4
4
0
8
1
0
0
0
0
0
24
0
8
12
0
1
0
2
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
16
0
0
9
0
0
4
0
0
0
16
0
8
0
2
0
0
0
0
0
0
0
0
8
8
0
0
1
0
0
0
8
8
0
16
16
32
0
0
0
16
0
0
8
8
1
0
0
0
17
0
0
0
0
30
30
0
0
0
0
0
0
0
26
0
0
0
0
0
0
0
0
0
0
12
0
0
0
6
0
6
6
27
27
27
0
8
0
8
8
0
0
8
8
0
16
16
0
0
8
8
0
8
0
8
8
8
8
0
0
0
0
0
17
0
0
4
0
8
0
0
8
4
0
0
0
0
0
0
1
4
0
0
0
0
0
0
0
4
0
0
0
16
8
0
0
0
0
0
0
32
16
0
0
0
1
0
0
0
8
16
16
0
16
0
0
0
0
0
0
1
1
8
24
0
0
16
16
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
49
49
49
11
11
1
0
8
2
0
0
4
32
8
8
0
0
8
0
0
0
16
0
0
8
0
0
0
0
0
0
0
1
0
0
8
0
0
0
0
26
8
8
0
8
0
0
16
0
0
0
0
0
0
0
0
1
0
4
0
0
8
24
0
0
28
0
0
0
11
11
8
2
0
0
24
2
2
0
16
8
8
0
4
0
0
0
0
0
9
0
3
3
3
3
3
0
0
0
29
8
8
0
0
0
12
12
12
0
16
16
17
0
0
0
16
16
0
0
0
0
0
9
0
0
0
24
0
0
8
8
8
8
16
0
0
0
0
0
0
0
4
17
17
16
16
16
16
0
8
0
0
4
0
0
0
8
8
8
0
16
16
16
16
0
0
0
0
0
7
8
0
0
4
4
4
16
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
16
0
0
0
0
0
0
0
0
8
0
32
32
1
1
0
0
9
0
0
10
1
0
0
0
1
0
0
0
8
0
0
0
0
18
18
18
0
8
0
8
0
0
8
8
8
8
8
0
8
8
8
8
0
0
0
0
4
4
0
0
4
24
24
0
0
0
0
0
0
0
0
0
0
32
8
0
0
0
16
0
0
0
8
0
0
8
8
16
0
0
16
16
0
1
8
32
0
1
0
0
0
8
10
0
8
0
0
24
16
4
4
0
0
0
8
8
0
17
4
4
4
8
0
8
0
8
0
0
0
0
0
8
0
0
0
0
0
16
16
4
4
4
8
4
2
0
0
0
0
0
12
0
0
0
0
0
0
0
8
0
24
6
6
13
13
13
0
4
0
8
0
0
0
0
16
8
8
0
16
8
16
0
0
0
0
20
24
16
1
16
16
1
0
0
0
8
8
0
8
16
16
32
8
16
16
16
0
8
4
16
16
16
8
16
0
0
0
4
0
0
0
4
4
0
0
16
20
8
8
29
0
8
0
0
8
16
0
0
0
8
0
0
4
0
0
16
0
0
0
0
0
0
0
12
8
8
8
8
8
0
0
3
0
4
4
0
0
0
0
0
8
8
0
4
4
16
16
2
0
0
16
0
0
0
0
8
8
0
0
0
0
0
4
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
4
1
0
8
0
0
8
0
0
0
0
16
0
0
0
16
0
0
0
0
0
0
28
0
0
24
0
0
0
0
0
0
0
16
8
20
8
0
0
57
0
1
1
0
8
8
8
0
0
0
4
0
0
0
0
8
8
0
0
0
0
0
16
16
16
16
16
16
24
24
8
16
0
8
8
1
1
16
16
16
0
0
0
8
8
4
2
2
16
0
0
8
8
0
0
9
24
4
16
8
0
0
0
0
8
8
8
8
8
8
12
12
0
1
1
1
1
8
16
16
2
0
0
0
6
4
32
0
8
0
0
8
1
18
0
3
0
1
16
0
0
4
0
4
4
0
0
0
0
0
8
8
0
0
0
8
0
8
16
16
0
8
0
2
17
0
0
16
42
8
1
8
8
4
0
0
0
8
8
0
0
0
24
26
0
0
0
0
0
0
16
8
0
16
0
0
0
0
16
16
16
16
16
16
8
16
0
0
16
8
8
8
8
0
2
0
8
0
0
4
0
0
0
4
0
0
16
2
2
9
8
8
50
25
24
1
8
8
8
12
0
0
0
32
0
8
29
4
8
8
0
16
8
9
8
0
0
16
16
16
16
8
16
0
8
8
8
8
4
4
0
0
0
0
2
8
8
8
4
24
5
16
4
8
8
8
0
0
0
0
8
8
0
0
0
0
0
8
8
0
0
0
0
0
16
0
0
4
6
0
0
8
8
8
0
18
8
16
16
18
8
8
8
27
27
0
0
0
1
0
0
16
16
16
0
0
0
8
0
4
4
0
8
8
0
16
17
8
16
8
8
8
0
0
0
0
0
18
8
0
2
0
0
0
16
16
0
0
16
0
6
0
0
12
12
0
1
16
0
0
0
0
16
0
0
8
0
8
0
0
0
4
8
4
0
8
0
16
0
16
0
0
0
8
2
0
0
0
0
8
12
0
0
0
0
0
0
0
0
0
10
0
0
0
2
2
0
0
0
8
2
0
0
16
0
0
16
0
2
0
0
0
0
0
0
16
16
0
0
0
0
8
0
16
16
2
0
0
2
16
16
16
0
0
0
0
0
0
16
0
0
2
0
0
0
8
4
0
0
0
4
0
2
0
0
1
0
0
26
26
16
0
0
0
8
0
0
0
16
0
0
4
4
0
4
4
4
4
0
0
0
0
0
0
4
4
4
16
8
0
8
8
0
4
32
0
0
0
0
0
0
0
17
8
0
0
16
4
16
16
0
1
0
0
0
8
0
0
0
0
0
0
16
16
4
27
0
0
0
0
0
0
16
8
0
0
0
0
0
0
0
1
0
0
0
0
0
1
16
0
16
25
8
0
0
8
0
0
16
16
2
20
0
0
0
1
8
0
4
0
1
0
0
0
0
2
2
0
16
16
16
24
20
20
20
20
8
1
8
2
0
24
0
0
4
0
0
0
3
0
0
0
0
0
0
0
16
0
0
0
0
0
16
0
2
0
0
8
8
0
0
0
0
16
0
0
2
2
2
4
4
2
1
0
4
8
0
0
0
0
24
24
24
0
0
0
0
0
0
0
12
0
18
16
16
0
0
8
0
2
0
0
0
0
0
8
0
0
4
2
16
16
16
0
0
0
18
18
0
16
0
0
0
0
0
0
0
0
16
16
8
18
0
0
0
0
0
4
24
0
0
0
0
16
16
0
0
0
0
0
0
8
8
8
0
2
0
43
0
0
4
8
22
22
60
0
16
10
0
0
8
0
8
0
0
0
16
8
8
0
0
16
16
0
0
2
6
6
16
4
4
0
16
0
0
32
0
0
0
4
0
1
56
56
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
4
0
0
16
16
16
8
0
0
8
8
0
4
0
0
0
0
0
0
1
0
32
16
0
0
0
0
0
0
16
16
16
16
0
16
0
2
0
0
16
0
0
0
0
0
28
16
16
0
0
16
0
16
0
2
2
4
8
0
0
0
0
8
8
16
0
0
4
0
18
18
2
0
8
0
1
0
0
0
4
0
1
0
0
16
8
8
0
0
0
0
0
8
4
4
0
8
2
2
20
0
4
0
8
4
0
0
0
0
0
0
0
0
0
0
0
0
32
8
0
8
8
4
0
24
24
0
0
0
0
16
8
16
0
0
0
0
0
0
0
8
8
0
4
4
0
8
8
0
0
0
8
0
0
0
40
0
0
24
0
0
0
0
0
16
16
16
8
8
0
16
0
8
4
0
2
1
1
8
8
0
0
0
0
0
0
0
0
8
0
0
0
1
1
1
1
16
2
0
0
16
16
1
0
16
8
8
8
16
8
0
0
0
0
0
0
0
0
16
0
0
4
0
0
0
8
4
0
8
0
0
8
16
0
16
16
0
0
4
4
4
4
8
25
0
0
0
2
2
0
0
0
20
0
49
16
0
0
0
0
8
0
8
0
0
2
0
4
6
6
0
0
0
0
8
0
0
16
8
8
2
2
0
0
1
1
8
8
0
24
16
0
0
4
0
0
4
4
8
0
4
4
4
8
0
0
1
4
8
0
8
8
8
16
16
16
0
8
8
0
8
1
10
8
8
0
0
0
0
8
0
0
0
0
0
0
8
4
4
0
16
0
8
32
16
0
8
0
16
16
0
0
8
8
8
0
8
0
0
0
8
19
19
0
8
0
0
0
0
0
8
53
0
8
0
0
0
0
0
0
0
0
0
0
0
8
8
24
0
2
16
16
16
4
0
0
0
0
4
4
0
0
0
8
0
0
0
4
0
16
0
0
8
4
20
0
0
0
0
0
0
0
16
48
8
8
0
0
2
2
2
2
0
0
0
0
16
16
16
8
24
0
28
1
1
0
0
0
16
16
0
0
0
0
0
0
16
0
0
0
0
0
16
2
2
8
32
0
16
48
48
48
8
1
1
0
0
0
0
0
16
0
0
8
8
20
8
1
4
0
2
0
2
2
0
0
0
0
8
0
8
8
0
0
0
8
0
16
16
8
8
0
0
0
0
8
8
28
0
0
10
10
0
0
32
0
8
0
0
0
0
0
0
0
0
0
0
0
8
16
16
0
8
8
0
5
0
34
0
8
0
0
0
8
8
8
16
0
0
0
6
24
0
0
0
0
4
4
0
8
24
0
8
16
16
0
0
0
0
0
0
0
1
8
8
0
0
0
8
8
0
0
0
0
18
18
2
16
16
8
0
0
0
0
0
0
8
2
1
20
20
1
1
0
0
0
8
8
0
2
0
0
0
0
8
16
0
0
0
0
0
16
32
0
0
2
2
2
2
2
32
8
8
0
1
0
0
0
2
2
0
0
0
0
8
0
0
4
4
4
4
20
20
0
8
8
17
16
0
48
20
16
16
16
16
16
0
8
16
0
0
0
0
0
0
0
0
4
0
0
1
1
8
8
8
0
0
0
0
0
0
8
8
8
16
16
16
0
0
16
0
0
0
0
0
0
0
0
0
0
32
0
8
8
8
8
2
4
0
8
8
8
8
32
4
4
8
8
0
0
8
15
0
0
0
0
0
0
0
0
0
0
8
12
12
0
0
8
8
12
0
0
0
0
0
2
0
8
32
0
16
0
2
0
8
8
8
8
0
0
0
8
3
16
16
0
4
16
0
0
0
0
0
18
8
8
8
8
8
8
0
0
0
0
8
8
8
0
0
0
8
8
32
0
0
0
18
8
0
8
8
24
24
16
2
0
0
0
0
0
8
8
0
0
8
8
2
0
8
16
20
16
17
8
1
1
1
16
2
2
16
1
1
0
0
0
8
8
8
8
8
16
16
0
0
4
0
0
0
0
0
0
48
0
0
0
4
4
0
2
0
0
0
1
16
16
8
8
2
4
0
8
0
4
0
16
0
0
0
0
0
8
8
0
0
0
0
0
0
8
8
0
24
8
8
16
4
16
0
0
18
8
0
0
0
0
2
2
0
16
4
0
0
0
0
32
8
32
0
0
0
0
4
0
0
0
0
0
8
16
1
1
0
0
0
4
4
16
8
0
8
24
8
8
18
18
16
33
0
0
0
0
0
0
0
0
3
0
26
26
0
0
16
16
0
0
8
8
0
0
0
0
0
0
8
8
14
2
0
0
8
8
8
0
24
16
0
16
16
8
0
16
16
16
0
0
0
0
1
8
0
0
8
8
0
8
0
0
0
0
8
8
8
8
0
0
8
8
8
24
24
40
0
1
1
0
4
4
4
2
2
2
8
8
8
2
8
8
0
0
0
12
12
0
8
8
8
8
2
8
8
8
1
1
1
0
8
0
8
0
0
1
0
0
0
8
8
8
8
8
8
2
2
2
0
0
0
0
0
8
8
0
0
0
0
16
16
16
16
8
8
0
0
0
8
0
20
20
0
0
0
0
0
12
2
4
0
0
0
0
0
16
16
16
16
2
0
0
0
0
0
1
0
0
0
0
8
8
0
1
1
1
0
0
0
4
8
0
0
8
8
48
48
0
0
0
0
0
0
33
0
32
16
16
16
16
0
0
8
8
8
8
8
16
1
1
0
8
8
0
0
0
0
0
0
4
8
0
0
8
8
0
8
8
0
16
0
0
0
8
8
16
16
0
2
0
0
0
0
0
0
0
0
16
16
8
0
16
1
16
0
0
8
8
8
0
0
0
4
2
2
4
2
16
16
0
0
0
0
8
0
0
4
0
0
0
0
8
0
0
0
8
0
0
0
0
0
0
8
0
8
8
16
16
16
8
0
0
0
16
16
1
0
0
16
16
0
16
8
8
24
0
0
0
0
0
0
4
0
0
32
0
0
16
8
0
8
8
8
16
0
0
0
0
0
8
0
8
8
0
0
0
0
1
1
1
16
6
0
0
0
0
1
1
1
16
0
0
0
0
0
40
40
0
28
0
16
0
0
0
0
0
0
16
16
0
0
8
8
8
16
12
0
0
0
0
0
0
8
19
0
0
0
0
0
0
0
16
2
2
0
14
0
53
53
0
0
0
8
8
0
4
4
17
0
0
4
0
0
8
16
0
0
8
1
8
0
8
0
0
0
0
4
25
0
0
0
8
8
1
0
0
8
8
8
0
16
16
0
0
0
0
0
8
8
0
0
0
8
28
0
0
0
0
0
0
0
0
0
0
0
4
0
0
2
0
0
1
1
1
1
1
1
0
0
0
0
0
0
0
8
8
8
8
0
8
2
0
20
20
20
0
0
0
0
16
0
8
8
0
0
0
0
8
0
4
0
0
0
17
8
0
0
8
1
1
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
8
8
0
0
0
1
1
0
0
32
8
3
8
0
12
0
0
0
4
4
4
0
4
4
4
8
8
8
8
0
24
0
0
0
0
0
0
0
0
16
0
0
0
0
4
8
0
0
8
0
16
0
0
0
0
0
0
8
0
0
8
0
1
4
16
0
0
8
8
0
8
0
0
0
0
16
16
0
0
0
16
16
16
2
0
0
16
16
0
0
0
8
16
0
0
0
0
8
8
0
16
16
0
0
0
8
8
8
16
0
0
0
0
0
0
34
0
0
0
0
0
2
0
2
2
2
0
0
8
0
4
4
4
4
8
8
4
0
9
9
9
8
8
0
0
4
10
8
8
8
8
8
0
0
8
8
8
8
8
16
16
16
4
0
0
0
0
8
8
0
0
2
0
16
16
16
0
8
0
1
1
1
0
16
8
0
0
0
0
0
8
0
4
0
0
8
0
24
0
0
24
8
0
0
8
0
0
32
0
24
8
0
0
0
0
4
0
0
0
3
3
3
0
0
0
0
0
0
0
8
0
0
24
4
16
16
10
0
0
8
0
1
4
16
16
16
0
8
8
0
16
0
1
1
1
0
0
0
24
16
8
8
8
8
61
16
20
20
16
16
8
0
0
0
16
16
0
2
16
18
0
8
20
16
16
16
8
0
0
1
0
0
0
0
2
8
24
0
0
0
0
0
0
0
0
16
0
0
27
0
0
0
0
0
8
8
0
0
0
16
16
8
0
0
0
16
16
8
0
1
8
18
0
8
0
8
2
0
0
0
0
0
0
0
0
8
4
0
8
8
0
0
0
20
20
0
0
8
8
8
8
8
16
16
0
8
8
0
16
8
8
8
8
1
0
0
0
16
16
0
0
0
10
0
1
1
8
8
0
0
0
8
8
8
0
0
0
0
0
0
8
8
0
0
0
0
0
0
8
16
0
0
16
0
0
0
4
0
0
8
8
8
2
0
2
0
0
12
12
12
16
4
0
0
0
0
4
8
24
12
0
0
0
0
0
0
0
0
0
16
22
22
22
0
1
0
24
4
16
4
32
1
17
8
8
10
8
0
0
8
8
1
16
17
0
0
8
16
24
8
1
0
0
16
24
10
10
0
4
4
4
0
8
0
8
8
0
8
8
0
0
0
8
8
0
0
8
8
1
10
17
8
4
0
8
0
0
8
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
1
1
1
2
0
0
0
0
16
16
16
20
8
8
1
4
4
4
4
0
8
8
16
0
8
6
0
0
40
16
1
1
16
0
19
19
8
8
0
0
0
0
0
8
1
0
0
0
4
16
4
0
0
0
0
0
0
0
0
8
8
8
0
16
16
16
16
16
1
8
0
0
2
12
8
8
6
0
0
0
42
25
0
4
4
0
0
0
0
8
0
0
1
0
0
0
0
16
8
8
0
8
8
2
8
0
0
0
0
0
0
28
28
28
28
28
8
8
8
4
0
0
1
0
4
0
8
8
4
4
4
0
0
0
0
0
16
8
16
0
0
0
0
1
1
1
32
8
0
0
14
36
36
32
16
2
8
0
0
0
6
0
1
24
0
2
0
8
0
4
4
0
0
2
0
0
1
17
0
0
0
4
0
0
0
4
0
0
16
16
0
0
16
8
2
16
0
0
16
0
0
0
2
18
8
0
0
8
8
1
1
16
0
0
0
4
0
0
8
0
8
4
8
2
0
0
8
8
8
0
2
4
8
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
33
16
16
32
32
0
0
8
8
0
0
0
0
0
0
0
25
16
0
8
0
25
0
16
0
8
0
16
16
4
0
12
0
0
24
8
8
0
0
0
0
0
0
26
0
8
2
0
0
0
4
18
0
0
0
8
0
5
5
16
0
0
16
0
0
0
0
16
16
16
8
2
8
0
32
0
0
0
6
0
8
0
0
8
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
10
16
0
4
4
0
0
16
8
4
0
0
0
0
0
0
0
8
8
8
8
8
18
18
16
8
0
0
0
0
0
16
0
0
0
8
16
8
0
25
25
2
2
0
0
0
0
1
0
0
0
0
20
8
0
32
0
24
3
0
0
16
8
8
24
24
4
8
8
8
8
8
16
0
0
0
16
8
4
0
0
6
6
0
0
0
0
0
0
0
8
0
0
0
0
16
0
17
16
16
16
0
4
0
8
8
8
0
8
0
0
0
0
0
0
0
0
8
16
0
0
8
0
0
22
22
0
16
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
22
0
0
0
24
24
24
8
0
0
4
0
0
0
0
0
0
0
0
8
8
8
0
0
8
8
0
32
0
0
1
0
0
16
0
0
32
32
0
0
8
0
0
0
0
0
0
8
16
16
16
2
2
0
0
0
8
0
0
8
8
24
0
2
0
0
4
0
16
0
0
0
9
16
16
18
0
4
8
0
0
0
0
0
0
0
8
0
2
0
0
0
0
0
0
1
40
0
8
4
0
0
0
16
1
20
16
16
0
0
8
0
0
0
0
2
20
16
8
16
0
0
0
0
0
0
0
0
0
0
0
16
4
2
0
0
4
8
0
8
9
0
0
0
0
0
8
0
0
1
0
32
0
8
16
16
0
0
24
42
0
8
16
0
24
0
0
0
0
16
0
0
0
10
8
0
0
0
0
0
2
0
0
0
16
0
0
0
0
0
0
16
8
8
8
1
1
16
0
0
16
20
0
8
8
0
0
1
0
0
0
0
0
0
16
16
16
16
16
10
0
16
0
0
0
16
16
16
16
1
0
0
16
0
0
0
0
0
16
16
0
8
8
0
32
32
8
8
0
0
0
0
0
4
0
16
16
16
16
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
12
16
8
0
0
8
0
0
8
8
0
0
0
0
0
24
0
0
0
0
4
4
0
0
0
0
4
0
0
0
0
16
16
4
8
0
0
16
8
8
2
4
8
8
0
0
0
0
0
0
0
8
8
23
0
0
0
12
16
0
0
0
0
4
4
16
8
8
8
8
12
12
12
12
0
8
0
1
0
0
0
0
0
8
17
17
17
12
2
0
0
10
10
0
16
16
4
4
0
0
30
0
24
0
16
0
10
8
0
0
16
0
0
16
0
2
8
24
0
0
24
8
0
8
0
22
0
8
0
0
8
0
0
0
0
0
0
0
0
0
8
28
0
0
0
0
8
8
2
24
2
0
0
8
0
0
0
8
8
0
0
8
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
24
2
8
8
16
0
0
0
0
0
0
0
0
0
4
0
4
4
0
9
0
0
30
30
30
8
8
0
8
0
16
4
8
0
4
4
4
4
20
0
0
0
0
0
0
4
4
0
0
0
2
2
2
16
4
4
8
8
0
8
0
0
0
0
4
0
0
0
2
4
0
2
8
0
2
0
8
0
0
0
0
0
0
8
8
8
0
0
8
0
0
28
0
0
2
8
8
8
8
16
16
16
16
16
0
0
0
4
0
0
8
0
0
0
0
16
0
0
14
0
0
0
0
0
8
0
0
0
8
0
4
2
0
0
16
16
0
16
16
0
0
16
24
24
24
0
8
8
8
8
8
8
0
0
0
2
0
0
0
0
4
0
0
0
0
8
0
8
20
8
0
16
16
16
4
0
0
16
1
0
0
0
0
8
8
4
4
0
0
0
0
0
0
0
0
4
4
8
0
1
0
0
0
0
16
16
8
8
0
0
16
16
8
8
0
0
0
0
0
8
8
8
16
8
0
0
0
0
0
16
4
0
8
0
0
0
4
4
0
16
24
0
33
0
0
0
8
0
57
4
8
0
0
0
0
1
0
0
0
8
0
8
8
0
0
0
0
0
20
2
2
2
0
8
1
41
8
0
8
8
16
16
16
16
0
16
16
16
0
0
8
0
21
10
10
8
0
32
0
0
16
0
0
18
8
0
4
8
8
8
8
0
16
0
0
0
0
0
0
0
16
1
0
20
9
9
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
24
0
0
8
8
0
16
0
0
0
0
2
2
0
0
0
8
0
0
4
2
0
2
2
2
8
0
0
0
8
8
8
0
16
18
0
0
8
8
8
24
0
8
8
0
0
8
8
1
0
0
16
0
4
2
0
0
0
0
0
0
0
8
16
16
0
8
16
4
0
16
0
0
8
0
0
0
1
4
8
2
8
0
4
8
22
8
40
0
12
0
16
0
0
0
21
0
0
4
0
0
0
0
0
0
8
16
16
16
0
4
17
0
0
0
0
0
10
0
8
0
0
0
0
0
0
8
0
0
0
16
8
20
20
8
0
0
0
0
32
0
0
0
0
0
0
16
18
0
8
0
2
8
8
0
0
0
0
0
16
24
0
0
0
0
8
8
8
0
0
0
0
0
0
0
4
12
12
12
8
8
0
0
0
2
2
0
0
16
0
0
4
4
0
0
0
0
0
0
0
0
1
1
16
16
0
0
0
0
0
0
8
4
16
16
0
0
0
0
0
0
0
0
8
8
4
0
0
0
0
16
16
16
0
0
0
1
8
16
8
0
8
0
0
0
0
1
4
0
0
0
9
8
0
0
0
0
4
0
0
0
0
16
8
8
6
28
28
0
24
8
0
8
0
16
8
0
0
0
8
0
0
0
0
24
0
0
22
16
16
40
8
8
16
0
8
8
0
16
2
1
16
8
0
1
1
0
16
8
8
0
0
0
8
0
8
8
8
0
0
0
0
0
0
0
1
0
24
0
8
0
0
16
32
4
0
16
0
8
8
8
0
0
0
4
8
0
0
2
0
0
6
6
6
0
0
0
0
20
20
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
8
8
8
0
8
0
0
1
0
8
0
0
8
16
18
18
18
16
16
0
16
0
2
4
0
0
0
16
0
16
8
0
0
0
4
16
0
24
24
24
24
16
16
16
0
0
2
0
0
0
0
0
2
0
0
0
0
0
0
0
0
8
8
0
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
0
0
0
0
2
0
0
2
2
2
0
0
0
4
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
16
0
0
0
0
0
8
0
0
0
8
8
25
0
0
0
0
0
0
8
8
0
1
19
16
16
0
0
2
2
0
2
0
0
0
4
0
0
0
0
0
0
8
0
0
0
0
0
0
8
1
8
8
0
0
8
0
9
24
0
0
8
0
0
8
8
8
0
0
8
16
0
4
0
0
0
0
0
0
0
0
0
0
0
8
0
0
24
1
0
10
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
0
0
4
0
0
0
0
0
8
8
16
0
0
0
0
0
8
26
16
16
0
0
0
4
0
0
16
16
16
0
16
16
0
0
0
0
0
0
16
0
0
16
9
8
0
0
8
0
0
0
0
0
0
0
0
0
0
0
8
2
0
0
0
0
0
8
16
2
0
0
0
1
0
0
0
0
0
0
0
2
8
8
8
0
0
0
0
0
0
0
16
16
16
16
0
16
0
2
0
1
49
49
8
8
0
8
8
0
8
8
0
0
16
0
0
9
9
0
0
0
0
0
0
8
0
0
0
0
20
8
0
0
0
16
8
16
16
8
8
8
0
9
6
0
0
16
0
0
0
0
0
0
8
8
0
8
0
0
8
1
0
0
0
0
0
0
0
0
0
8
8
8
0
1
8
32
0
0
0
0
0
0
0
2
2
16
8
0
0
0
0
4
4
0
0
0
0
16
0
0
0
0
1
0
0
0
0
0
0
0
8
0
0
0
4
0
0
0
0
0
2
8
0
8
0
0
25
18
0
0
16
2
0
0
0
8
8
0
1
1
1
0
0
0
0
16
16
0
0
0
2
4
28
0
16
0
8
0
0
0
16
0
0
0
0
0
0
8
0
0
0
0
24
24
0
0
0
0
1
0
0
16
8
8
4
4
0
0
0
0
2
2
1
0
0
0
0
24
24
24
0
16
0
0
0
0
2
12
12
8
0
4
56
0
0
0
0
0
0
0
0
0
0
0
0
8
1
0
8
8
0
0
0
0
0
0
0
8
0
0
0
0
0
8
0
0
1
0
0
0
0
8
8
1
0
0
4
32
0
0
0
0
0
0
12
0
0
9
0
0
0
0
2
8
0
0
0
16
0
0
8
0
2
0
0
0
8
0
0
0
8
8
8
8
0
0
0
0
0
0
0
0
1
0
8
0
24
24
0
0
0
0
0
0
2
2
2
4
1
1
0
0
0
0
0
0
0
24
0
24
24
8
0
0
0
0
0
0
0
0
8
8
32
0
0
0
16
4
4
8
8
0
0
0
0
0
0
4
0
0
0
0
16
0
16
12
8
0
16
9
0
0
8
8
16
8
8
8
36
0
0
0
0
16
0
0
0
0
0
0
0
0
0
18
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
4
4
4
0
0
0
0
0
2
0
0
8
0
0
16
0
0
8
0
0
0
0
0
0
0
0
0
0
16
32
0
0
0
56
16
8
0
1
8
0
2
0
0
0
0
14
0
16
16
0
0
8
0
24
24
24
24
24
0
0
0
0
0
0
0
1
8
0
0
20
0
0
0
0
0
0
0
8
8
16
16
0
0
4
0
0
1
0
0
4
18
4
4
4
4
4
4
0
0
0
0
0
0
1
8
0
8
0
0
0
0
48
4
24
24
0
0
16
16
0
0
0
0
0
0
0
8
8
16
0
0
8
8
8
8
4
0
1
1
0
0
0
0
0
0
0
0
0
0
20
20
0
1
0
0
0
0
8
4
4
0
0
20
8
4
0
0
0
1
24
0
16
0
0
0
0
16
0
16
0
16
8
8
3
0
8
0
16
16
0
0
0
0
0
0
19
1
8
8
0
0
0
0
0
0
0
0
0
8
26
0
0
1
1
1
0
0
0
0
1
0
0
0
0
8
0
0
24
0
0
8
0
0
8
0
24
0
24
24
24
0
0
0
0
0
0
0
0
0
0
8
0
8
16
0
0
0
0
0
0
0
8
8
0
0
0
8
8
0
0
0
2
2
0
0
8
8
1
8
0
0
0
0
0
0
8
16
0
0
0
4
0
0
0
0
0
0
0
0
0
2
8
24
1
4
0
0
0
4
8
0
16
16
16
4
0
0
0
0
0
0
0
0
0
0
0
4
4
0
0
0
0
0
0
16
12
0
16
0
0
0
8
0
0
0
0
16
16
0
17
0
2
8
8
0
0
0
0
24
0
0
0
0
0
0
0
57
57
36
8
0
1
0
24
24
0
0
8
0
8
4
4
1
8
0
0
4
0
16
0
0
0
8
8
0
1
1
0
8
8
16
16
0
8
8
5
0
0
0
0
0
0
36
16
16
0
0
0
0
0
1
0
4
4
8
0
0
0
0
0
8
0
8
0
0
16
0
16
16
16
16
0
0
0
0
0
0
0
0
4
0
0
22
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
20
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
16
0
0
0
36
0
0
0
0
0
0
8
0
0
0
0
0
0
8
8
16
8
0
0
0
8
8
8
0
0
0
0
0
0
0
2
0
0
2
0
8
0
0
16
4
16
9
1
1
0
16
16
16
16
0
0
16
0
1
8
8
8
8
8
8
8
8
8
8
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
16
13
13
0
0
0
0
0
0
0
0
0
8
0
16
0
2
2
8
8
4
8
0
8
4
0
0
0
4
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
8
1
1
0
8
8
0
0
0
0
0
0
0
0
0
24
0
0
0
0
16
0
8
0
0
0
16
0
0
0
0
4
0
0
0
2
4
4
4
0
0
24
0
0
8
0
0
0
0
12
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
8
0
28
28
0
0
0
0
0
24
8
0
0
4
0
16
0
4
0
16
0
7
7
0
0
0
0
0
10
0
0
0
0
0
0
0
0
12
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
32
0
0
0
8
8
0
32
0
0
8
0
33
16
16
28
49
0
0
0
0
0
0
0
32
0
2
0
0
0
0
0
0
1
0
0
0
0
16
16
0
0
0
0
8
8
2
0
0
0
20
0
8
0
0
0
0
0
0
2
8
0
0
8
1
0
0
1
1
16
0
0
0
0
0
0
4
16
16
0
17
17
0
0
0
0
0
0
0
16
0
0
0
24
24
24
16
16
16
0
2
16
4
0
0
0
0
4
8
0
0
1
1
1
1
12
12
0
0
0
0
0
0
0
0
4
2
2
0
0
0
16
8
0
16
16
16
0
0
8
0
1
1
0
0
16
16
0
1
0
0
0
0
0
0
0
0
0
0
32
0
8
0
4
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
8
0
0
0
0
16
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
8
8
8
0
2
2
8
24
0
0
0
16
16
0
0
0
0
0
10
4
4
4
0
8
8
8
2
0
0
22
0
0
8
8
8
1
1
16
0
0
8
0
16
0
0
0
0
16
4
0
8
1
1
0
0
0
40
0
8
8
8
32
32
8
8
8
2
2
2
2
0
0
0
0
8
0
8
8
0
0
1
1
1
1
1
1
25
8
8
8
8
0
16
16
0
0
0
0
0
0
24
0
0
24
0
16
4
0
0
0
8
0
0
4
0
2
24
0
0
8
8
40
0
0
0
16
16
8
8
0
17
0
8
9
9
16
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
16
16
16
0
8
8
0
28
8
8
8
28
16
16
16
16
0
0
8
10
10
0
0
0
0
0
2
8
0
0
1
1
0
18
8
0
16
0
0
0
8
0
8
8
8
0
4
0
8
0
0
0
0
1
1
1
0
8
0
16
8
8
0
2
0
16
16
14
0
0
0
8
8
8
8
16
25
8
0
0
2
1
1
1
0
16
0
0
0
0
0
0
0
16
0
16
0
0
8
8
0
0
0
16
0
16
16
8
8
0
32
0
1
4
0
12
0
0
0
8
4
0
0
12
12
0
4
4
0
8
0
0
0
0
0
2
2
0
0
0
40
40
0
0
0
0
0
8
0
8
8
0
0
0
4
8
8
0
2
2
4
4
0
16
16
0
0
4
8
8
8
8
1
16
0
0
0
16
8
0
0
0
32
8
0
8
8
8
8
4
0
0
1
8
8
8
8
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
2
2
8
8
8
0
0
0
32
0
0
0
0
16
0
0
16
16
0
9
16
2
0
0
0
0
0
2
16
20
0
0
0
0
0
0
8
8
8
0
0
0
2
0
0
0
0
16
8
4
0
1
0
16
16
0
16
0
8
8
10
0
0
0
0
0
0
0
16
10
1
1
1
0
0
0
0
4
0
0
0
0
0
0
0
16
16
0
0
16
0
16
1
9
9
0
9
32
16
0
8
0
0
0
0
8
2
0
0
1
0
0
0
8
0
8
27
27
0
0
0
0
0
0
24
16
0
4
16
0
0
0
0
0
16
1
8
16
4
32
8
8
8
0
0
0
16
0
16
0
0
8
0
0
0
4
0
8
0
16
0
0
0
2
16
16
16
2
8
0
0
0
0
0
0
2
0
8
0
0
0
8
0
16
2
0
0
9
0
8
8
0
8
8
0
0
0
0
0
0
0
0
16
8
8
8
8
0
0
0
0
0
2
0
0
0
0
1
0
0
58
0
0
0
32
8
0
0
0
0
26
8
0
8
8
1
0
0
28
0
4
0
0
0
0
0
0
8
0
0
16
16
4
0
3
0
0
0
0
8
16
0
8
16
16
4
8
0
0
0
0
0
0
0
0
4
4
0
0
0
0
8
16
0
0
2
1
17
2
2
0
8
8
2
2
0
0
0
8
0
0
0
2
1
0
8
0
0
0
1
0
0
4
4
0
8
8
16
9
4
4
4
0
0
32
0
0
20
0
0
0
0
0
0
4
4
0
8
8
0
16
16
16
16
16
0
2
2
16
16
0
16
0
24
8
8
8
8
0
0
0
0
32
0
0
0
0
28
4
10
0
0
1
19
0
0
0
16
16
0
0
0
0
8
0
0
0
8
32
32
16
0
0
8
0
0
0
0
8
0
0
13
8
4
4
4
4
10
0
2
25
8
0
4
4
8
8
0
0
8
28
28
0
0
0
0
0
8
8
0
0
17
0
2
2
0
0
0
0
0
0
8
0
33
0
0
8
8
16
0
8
0
16
16
0
0
0
24
0
0
2
0
8
8
4
4
8
0
12
12
12
0
0
26
26
8
16
0
0
0
8
16
0
0
8
2
2
16
0
0
0
1
0
17
8
0
4
0
0
8
0
0
0
8
0
0
0
8
8
24
4
8
4
0
0
8
0
4
20
0
0
0
1
8
16
0
0
1
1
1
1
8
0
8
0
40
1
8
8
0
0
16
0
0
0
1
1
1
20
0
0
0
0
0
0
0
1
1
0
0
0
0
8
0
1
8
8
8
0
0
8
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
32
32
8
0
8
8
8
0
0
0
8
8
8
0
0
8
8
0
4
8
0
0
0
16
16
1
0
0
0
0
10
0
0
0
8
0
58
0
8
8
0
8
0
32
0
0
0
0
0
0
0
0
8
8
0
2
2
0
0
0
0
0
0
32
8
8
8
0
2
0
0
0
8
8
8
0
25
1
16
16
0
0
0
8
0
0
0
8
12
12
16
0
1
19
19
0
0
0
0
0
16
6
6
0
32
32
8
8
0
48
8
8
8
5
5
16
0
1
8
0
0
0
0
4
0
4
8
0
0
0
4
16
16
4
5
5
0
0
0
0
0
0
0
0
0
0
0
8
8
1
4
0
8
8
0
0
0
0
0
50
0
0
8
8
8
8
0
4
20
20
20
20
16
0
8
8
0
0
8
8
12
12
12
0
0
0
0
16
0
0
0
8
8
8
8
8
8
8
8
8
16
0
0
0
24
8
1
1
0
0
0
0
17
0
0
0
0
8
8
8
8
8
0
8
0
0
0
16
0
0
0
32
8
8
0
8
8
8
4
0
0
0
0
28
0
0
0
24
8
0
16
16
16
16
8
0
0
0
0
0
1
0
8
9
8
0
0
0
0
0
16
44
44
44
44
8
39
8
8
16
17
0
4
0
16
0
8
16
0
8
0
0
16
8
8
8
8
0
0
0
0
0
17
1
0
0
0
0
0
16
0
0
0
8
0
0
8
0
0
0
0
36
8
0
0
0
2
4
8
8
0
0
0
0
0
0
4
0
16
0
0
0
0
0
16
8
8
0
0
0
0
0
16
16
0
0
16
4
4
6
8
8
24
17
17
0
0
0
0
8
17
1
16
0
18
18
0
8
0
0
0
0
0
0
16
4
4
4
8
16
16
0
0
4
0
8
8
1
4
4
0
0
0
16
0
8
8
8
8
8
8
0
0
0
24
0
1
0
0
32
0
0
4
0
0
16
0
1
8
8
0
2
16
24
8
8
8
0
0
8
4
4
0
44
4
4
4
0
0
0
0
8
8
8
0
0
8
0
0
0
0
0
8
8
0
1
1
1
1
1
1
0
28
4
8
16
0
0
1
16
8
16
16
16
24
24
16
16
9
0
16
1
8
0
0
8
8
8
0
0
0
0
0
0
8
0
0
0
4
0
0
8
0
0
0
8
0
19
0
8
8
0
0
0
32
32
8
8
8
0
8
0
20
25
16
8
0
0
0
0
4
0
0
0
0
0
0
4
4
16
0
0
8
0
0
0
8
8
0
0
8
8
8
8
8
0
0
0
4
16
20
8
20
5
0
16
0
0
24
24
0
0
4
0
0
0
0
24
32
2
0
0
8
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
8
0
0
0
0
0
0
0
0
0
0
4
4
4
4
0
0
0
0
29
0
1
1
0
0
0
4
0
0
0
12
0
8
0
0
24
24
0
0
0
0
0
0
0
0
16
16
0
16
0
1
2
0
0
0
8
8
8
8
0
4
4
4
4
4
0
8
8
8
8
0
28
0
0
0
4
0
0
0
0
0
8
12
12
0
8
8
8
5
16
0
4
4
3
3
0
16
8
8
8
0
0
8
8
0
0
0
0
8
0
0
0
0
8
0
0
8
8
0
0
2
0
0
0
0
0
0
0
0
0
16
0
0
8
32
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
8
0
0
16
0
0
0
0
0
0
16
16
0
16
0
16
0
0
8
0
32
0
0
0
0
4
0
0
0
0
16
0
8
8
10
8
0
16
16
16
0
0
1
6
16
16
0
2
0
0
8
1
1
4
4
0
16
0
0
16
16
8
0
0
16
16
0
0
0
0
9
16
16
4
4
8
0
0
8
0
0
0
0
8
0
0
0
8
0
0
0
8
0
21
0
8
8
8
8
8
8
0
0
16
24
0
0
4
4
4
2
1
0
0
0
8
8
0
4
16
0
0
0
0
0
0
2
8
0
0
0
26
0
8
8
8
0
0
0
8
8
8
8
8
8
0
0
8
0
4
8
0
0
0
20
0
2
16
8
0
0
0
0
0
0
0
8
8
0
0
8
8
8
1
8
16
0
16
16
0
16
8
0
8
16
16
0
0
8
4
4
0
16
0
0
0
0
1
0
8
0
8
8
8
0
8
0
0
0
10
8
0
0
8
8
0
4
0
0
0
0
0
2
16
0
8
16
0
0
0
16
16
8
16
24
24
0
0
8
8
8
0
0
0
16
8
0
16
8
0
0
0
8
8
0
0
4
8
8
8
0
0
16
4
0
0
8
8
0
0
8
0
2
8
0
8
0
0
0
2
0
0
0
0
8
8
8
0
0
29
29
8
8
8
8
4
2
0
0
0
1
0
16
0
16
16
8
0
0
8
8
8
4
8
4
2
0
0
0
0
18
18
8
0
0
8
16
16
0
12
0
3
0
16
16
16
0
0
0
0
8
8
8
0
0
0
8
24
24
0
8
8
8
1
4
16
8
0
0
0
0
0
16
8
8
1
1
8
9
0
4
18
2
2
0
0
0
2
10
8
0
0
0
0
16
0
0
0
28
4
0
0
0
0
0
0
0
0
0
8
0
0
0
8
0
0
0
0
0
0
2
2
8
0
0
8
8
8
8
8
8
1
0
16
32
8
8
16
4
0
8
16
16
8
0
16
0
0
1
1
0
0
16
0
8
8
16
0
0
0
0
0
0
8
16
16
0
0
0
0
0
0
16
0
8
0
0
0
8
8
1
0
8
16
8
0
1
8
0
4
1
0
0
0
0
0
0
4
0
8
0
0
4
4
0
0
4
0
8
8
8
8
57
0
4
0
16
16
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
25
0
16
0
0
2
2
0
0
0
0
0
20
20
16
0
8
8
0
0
0
16
16
16
0
0
0
0
0
0
20
0
8
0
0
0
22
22
0
8
0
0
0
8
0
24
16
8
8
8
8
9
16
2
24
0
0
0
0
0
0
0
0
0
2
0
8
0
0
0
0
0
8
8
8
4
0
0
8
0
0
0
0
0
2
0
22
0
0
0
0
0
1
0
0
0
0
0
8
48
8
4
0
4
16
0
0
0
0
8
16
0
0
0
0
1
2
2
2
0
0
8
0
0
0
16
8
0
0
16
2
0
0
0
0
8
0
0
0
12
16
0
0
8
16
4
4
4
0
8
8
0
0
0
56
56
56
0
0
0
1
1
1
1
0
0
0
0
0
0
0
0
0
16
20
0
0
24
0
0
8
8
8
0
1
0
8
0
0
0
0
0
0
0
0
0
18
4
0
4
8
8
0
0
0
8
0
8
0
0
0
2
2
2
0
8
8
8
0
0
0
8
0
0
0
8
8
0
1
4
20
0
24
4
16
0
48
48
16
0
4
0
0
0
42
0
0
0
0
0
8
8
8
0
0
0
0
0
8
8
8
0
16
0
0
8
16
0
9
9
1
4
0
1
1
4
4
8
0
16
8
8
8
8
4
4
0
0
16
0
0
0
16
16
16
16
16
16
16
1
1
1
1
1
1
1
1
24
0
0
4
24
0
1
1
1
1
1
16
0
0
0
8
8
8
16
21
21
16
8
8
8
8
0
0
0
0
0
0
8
8
0
0
4
0
0
0
0
0
24
24
24
8
0
0
4
2
0
0
0
0
0
0
0
0
0
0
0
0
0
4
8
3
0
0
0
8
16
0
0
2
2
20
0
41
41
41
8
0
0
8
4
0
8
8
0
20
0
0
0
8
0
0
0
0
0
8
8
8
8
8
8
8
8
0
0
8
0
24
0
0
26
0
0
24
24
2
8
0
0
0
0
16
16
0
0
0
0
0
0
0
0
18
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
3
12
4
4
24
0
0
2
2
1
0
0
0
0
0
0
4
0
0
12
4
8
8
4
8
8
8
0
0
0
0
0
16
8
8
8
8
0
0
24
0
0
12
12
8
8
0
0
0
1
0
0
0
0
16
9
16
16
0
0
0
16
8
8
8
0
0
0
16
5
8
8
8
0
0
1
0
0
1
27
0
0
0
16
16
0
16
0
0
0
0
0
0
0
16
0
0
0
0
6
0
16
16
16
8
1
4
8
8
8
0
4
0
0
0
12
12
0
0
0
16
1
1
1
13
13
0
8
0
8
8
6
0
0
0
4
0
0
0
0
0
8
8
16
0
8
0
0
8
0
0
0
0
0
0
0
0
0
8
4
4
4
24
24
24
0
0
16
0
0
8
8
8
8
0
0
33
2
8
0
0
0
32
0
0
0
8
0
2
0
0
4
0
0
0
8
0
0
0
0
16
0
0
0
0
0
4
0
8
0
0
0
4
4
4
8
0
4
0
0
24
0
0
8
0
16
16
0
8
0
0
0
32
0
0
4
1
1
10
8
8
0
0
0
0
26
0
0
0
0
0
0
0
9
1
4
8
8
0
0
0
0
0
0
4
16
0
0
0
0
0
0
8
2
2
0
8
0
0
0
16
8
0
0
0
0
0
1
4
0
1
16
0
0
0
4
0
0
16
0
0
4
16
0
0
0
0
0
24
24
0
0
0
0
0
0
0
6
0
0
0
8
56
0
8
0
0
0
12
12
12
8
10
0
0
10
1
8
0
0
0
0
0
0
0
0
0
8
0
0
0
0
2
0
8
8
8
0
0
0
0
0
0
0
8
4
0
8
0
8
8
8
8
56
0
0
8
8
8
16
8
8
0
0
8
0
1
1
4
8
0
4
32
8
8
8
8
8
8
0
0
8
0
8
0
0
8
8
8
2
24
16
24
2
2
16
16
16
16
0
4
8
8
33
0
0
1
0
0
16
8
8
0
0
0
0
8
4
0
0
0
0
45
21
5
0
0
0
0
16
16
12
0
8
0
0
8
0
0
0
0
8
0
16
0
0
0
0
0
0
0
0
0
0
8
0
0
8
0
8
8
8
8
8
8
0
0
8
0
8
38
0
0
0
8
0
2
4
2
2
0
0
0
9
9
9
0
0
0
0
0
0
0
1
1
0
4
0
8
0
0
0
8
8
1
0
0
4
4
8
0
0
16
16
0
0
0
0
0
12
12
32
32
0
0
0
0
0
0
0
0
16
16
8
0
2
0
8
8
0
4
8
0
0
0
0
0
8
0
0
0
0
0
8
16
0
0
0
0
0
0
2
8
8
8
0
0
0
0
0
0
2
0
17
8
8
24
6
1
8
0
0
0
0
8
16
8
0
8
8
8
0
8
16
60
0
0
8
0
8
8
0
8
8
8
0
0
0
0
0
0
32
32
16
0
0
0
8
16
16
16
16
16
8
0
0
0
0
8
3
0
0
0
0
24
8
8
8
16
16
0
0
0
0
0
0
0
0
0
8
40
8
0
0
8
0
18
8
0
16
16
8
0
16
16
1
8
0
0
16
16
16
4
0
0
4
0
0
8
8
8
0
0
0
16
0
0
0
28
28
28
0
0
4
0
16
16
0
4
4
4
0
0
0
0
0
0
8
0
4
4
0
0
0
0
4
16
16
4
0
0
0
8
0
0
0
8
8
8
0
8
0
0
0
0
0
24
8
8
0
0
0
8
8
8
9
16
8
0
16
18
0
0
0
0
0
0
0
16
0
0
0
4
0
1
0
0
0
0
0
0
0
0
0
8
0
16
0
16
16
0
8
0
0
0
0
2
2
2
0
0
0
0
8
8
8
1
1
4
0
0
0
0
0
0
8
8
8
16
0
0
1
0
0
1
0
0
0
0
0
0
8
12
16
16
16
16
8
0
0
0
0
16
0
0
20
20
0
0
0
0
8
5
48
0
0
8
0
0
0
0
16
16
16
24
16
16
1
1
32
4
8
8
48
1
0
8
26
5
2
8
0
0
0
12
0
32
0
0
0
0
0
20
4
4
8
0
0
0
8
8
8
0
0
0
8
1
1
16
37
37
0
0
8
8
8
8
1
1
1
1
0
0
4
16
16
16
16
8
8
4
1
24
24
0
0
0
1
4
0
0
8
0
8
1
0
0
0
0
0
8
16
9
8
0
0
2
0
0
16
16
0
0
0
32
32
32
1
1
0
0
0
57
57
32
32
8
16
6
6
16
8
2
0
0
0
16
8
8
8
8
0
0
4
4
4
4
0
0
0
0
0
8
0
0
0
16
16
0
0
0
1
1
0
0
0
8
16
0
0
0
0
16
0
0
0
0
0
1
8
0
16
8
4
32
16
16
16
0
0
4
4
36
36
36
0
16
0
0
8
20
20
16
0
4
0
0
8
16
16
16
8
8
8
8
8
8
0
0
8
8
4
16
16
16
16
2
4
4
8
8
0
0
0
0
16
16
0
16
16
0
0
0
0
16
0
1
2
2
0
8
8
8
8
0
0
2
8
0
16
16
8
8
0
8
0
0
0
1
2
0
2
1
0
34
8
8
8
0
8
8
0
0
16
2
0
8
8
4
8
42
8
0
20
20
20
17
17
16
16
16
16
3
16
16
8
4
4
4
4
8
4
16
0
16
16
16
8
8
8
16
20
20
16
16
8
8
8
1
16
0
8
8
1
1
8
8
8
8
8
8
8
7
0
0
0
0
16
16
0
0
0
2
1
1
0
0
2
9
4
32
32
2
0
16
16
8
8
0
0
0
0
0
8
24
8
8
8
8
16
16
16
0
1
1
0
8
0
16
0
0
0
0
0
8
8
6
0
2
16
1
1
1
0
8
0
0
16
16
12
8
0
1
1
0
0
16
16
16
8
8
10
16
0
1
1
8
8
0
0
8
8
2
8
0
0
5
5
5
0
0
0
8
8
8
0
0
1
0
0
0
0
0
0
0
0
0
0
16
0
0
16
16
8
0
16
0
0
0
0
0
0
4
0
4
4
0
16
16
8
4
4
0
0
0
4
0
0
0
16
16
2
24
24
2
32
32
0
0
8
8
0
0
16
16
16
16
10
16
16
8
1
1
52
16
1
0
0
24
4
4
0
0
5
1
1
0
0
0
0
0
0
0
4
1
0
0
0
0
0
1
8
0
0
0
0
0
0
16
8
0
0
0
20
16
16
16
16
8
8
0
2
2
0
0
0
32
1
0
8
8
8
8
2
2
2
2
2
2
0
16
8
18
16
16
16
16
0
0
0
0
2
0
0
0
16
0
0
8
24
22
22
12
16
8
0
0
24
24
1
1
1
8
8
8
8
8
8
0
0
0
0
0
0
0
0
8
8
4
24
0
1
8
0
0
0
4
28
1
0
0
2
2
8
0
0
0
0
16
0
0
29
16
16
8
8
16
20
8
0
0
0
0
0
17
16
16
4
4
4
4
4
2
2
2
24
24
8
0
2
16
9
0
0
0
0
0
0
1
8
16
1
1
2
2
8
8
0
16
16
16
16
0
0
0
16
16
1
0
16
16
8
8
8
0
0
0
4
4
8
26
32
32
8
8
8
16
16
16
16
16
8
16
16
0
0
0
1
0
0
0
0
0
0
0
0
0
24
4
0
0
1
0
0
2
4
0
8
0
0
16
28
28
48
48
48
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
24
24
0
0
8
8
8
10
0
0
8
0
0
24
24
0
26
0
0
0
0
0
0
0
0
0
0
4
32
32
32
32
16
1
1
1
0
1
1
0
0
6
0
0
0
0
0
0
0
16
16
16
0
0
16
16
2
0
8
8
0
0
0
0
0
0
0
0
0
0
0
16
16
16
0
16
16
16
0
0
0
4
4
16
8
0
32
8
0
0
4
0
0
0
0
1
8
16
16
17
16
16
16
8
16
8
2
0
17
8
0
8
8
8
8
6
8
0
0
0
27
8
0
8
8
8
8
8
0
11
11
11
4
0
8
0
0
0
0
0
0
0
8
8
8
16
0
0
16
0
0
0
0
0
16
8
8
16
16
16
0
16
16
16
24
0
1
2
2
2
8
8
8
8
8
8
8
0
0
0
16
16
16
16
16
2
0
0
0
17
17
8
0
0
0
0
4
0
0
0
0
0
8
17
1
2
5
5
5
4
0
0
0
12
12
12
12
16
16
0
4
4
0
0
16
16
16
17
17
0
2
0
0
0
0
0
32
32
32
32
8
42
42
8
0
0
24
0
4
4
16
4
1
16
0
0
8
0
0
0
12
0
0
16
16
1
0
0
0
1
22
0
0
4
8
0
0
0
40
24
8
8
8
8
8
8
8
8
4
1
1
20
0
0
0
4
8
16
4
4
4
8
0
0
0
32
8
2
0
0
0
0
0
0
0
0
0
4
9
24
16
16
16
0
16
16
2
8
8
8
10
0
0
0
0
0
0
1
1
1
1
1
0
0
0
0
8
0
0
0
0
0
8
8
0
16
16
16
0
8
24
8
2
8
8
0
0
0
0
0
0
16
0
0
0
0
0
0
0
24
24
0
8
24
9
0
0
16
0
16
17
16
1
1
1
0
8
8
16
16
16
16
16
16
16
16
16
16
16
16
16
0
0
8
8
1
1
16
16
16
16
0
2
2
16
16
16
0
0
2
2
1
8
0
0
0
0
0
0
8
18
18
17
17
8
16
16
0
0
0
0
0
0
0
0
8
8
0
4
4
0
0
0
0
0
16
16
8
24
9
9
0
16
2
0
0
0
0
8
8
8
8
8
16
16
16
16
0
0
0
8
0
0
0
8
8
8
12
2
0
0
0
0
0
8
8
8
0
8
32
32
32
8
21
21
21
8
8
8
0
0
0
1
1
0
16
0
0
0
0
8
8
8
8
4
4
4
0
48
48
48
48
48
48
48
20
8
8
1
1
0
8
0
8
0
0
8
8
8
0
0
0
0
0
0
16
16
16
0
16
16
16
16
32
0
0
14
0
9
0
0
0
0
8
4
1
1
1
8
8
1
1
24
24
0
0
0
16
24
0
4
0
0
0
0
4
1
24
24
24
17
17
0
32
12
4
0
0
16
0
0
0
0
0
24
0
16
0
5
24
16
16
8
0
0
24
4
16
16
0
0
0
8
8
0
4
10
8
0
0
0
16
1
16
0
20
20
8
8
0
0
0
0
0
16
2
2
8
0
0
8
0
16
16
16
0
2
1
4
10
2
0
0
8
8
0
0
0
8
32
32
16
4
4
8
8
0
0
0
0
8
16
16
0
0
0
6
16
16
0
20
8
20
0
0
0
0
0
0
16
8
8
0
8
8
8
8
0
0
0
1
32
32
0
0
0
8
0
0
4
24
9
9
0
0
0
0
0
0
8
0
16
16
0
9
8
8
48
4
4
4
4
20
0
0
16
16
16
16
17
8
8
8
8
16
0
5
5
5
0
0
2
8
8
16
2
0
16
2
2
0
0
0
0
0
16
8
8
0
16
0
0
16
16
16
16
0
0
1
0
8
20
20
20
16
16
8
8
8
8
8
8
9
8
4
8
8
8
17
17
1
0
0
8
8
0
0
0
0
0
0
2
2
8
8
8
0
0
16
8
8
8
8
0
4
4
4
4
8
8
0
4
8
18
32
16
16
8
8
0
0
0
0
8
0
28
28
4
4
8
8
0
0
32
8
0
21
21
8
0
0
20
16
16
16
0
0
0
0
16
2
0
0
0
0
0
0
0
0
0
0
0
16
16
0
2
4
8
32
32
32
32
0
0
0
0
0
8
50
50
50
50
16
16
16
0
0
0
16
4
8
8
0
0
0
32
8
3
0
0
0
8
8
0
0
0
16
16
0
0
0
8
0
0
0
10
16
0
0
0
8
2
2
6
0
8
8
8
8
0
0
24
24
1
0
4
0
16
56
56
2
0
0
0
57
57
8
8
8
8
8
0
0
0
16
16
16
0
0
0
1
26
26
16
0
6
6
33
33
8
8
0
8
8
8
8
8
16
16
1
1
0
0
0
16
1
26
0
0
8
8
0
0
0
0
0
0
0
0
16
16
16
2
1
0
0
0
16
16
0
0
0
0
8
16
0
0
4
4
4
8
24
32
32
16
8
0
16
5
2
0
0
4
50
1
1
0
0
0
0
0
0
8
8
8
8
12
16
0
0
0
1
2
16
4
4
4
0
0
32
0
4
4
16
16
4
8
6
6
8
8
16
2
16
4
3
8
0
0
32
60
60
0
0
0
0
16
16
16
16
40
0
8
16
8
8
8
8
8
0
0
0
1
1
0
18
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
8
16
16
16
0
16
0
0
4
4
8
8
1
8
8
8
8
17
17
40
0
0
1
24
0
0
0
8
2
2
1
0
4
4
16
0
0
0
0
8
8
16
0
0
18
0
3
2
0
0
0
0
4
0
0
1
1
1
0
0
0
0
1
16
16
0
0
4
4
8
17
20
0
16
16
16
16
0
0
16
16
16
16
16
16
0
16
0
0
0
0
0
16
16
32
2
2
2
2
10
0
0
0
24
16
0
8
0
0
0
1
1
8
8
8
8
8
0
0
16
0
0
0
8
0
0
1
0
11
42
42
42
0
0
0
0
0
8
32
32
8
0
16
8
8
8
0
0
16
16
0
0
20
4
6
4
8
0
0
0
0
0
8
8
0
16
16
16
16
16
8
1
0
16
8
8
8
8
28
8
0
8
8
8
8
8
8
8
8
0
8
0
0
0
0
1
0
0
0
16
16
0
0
8
0
0
0
8
0
0
0
0
4
4
4
4
4
0
0
0
1
1
8
8
0
1
16
16
24
4
0
8
8
0
16
16
16
0
0
0
4
4
20
20
20
16
16
0
8
0
0
0
0
0
48
48
0
0
8
0
0
8
8
0
0
0
0
4
0
0
0
0
0
32
32
32
32
4
8
40
40
0
0
0
0
8
1
0
8
0
0
16
0
32
32
0
0
16
8
8
8
8
0
16
16
0
0
0
0
0
8
8
0
0
0
1
1
16
8
24
24
0
0
16
24
24
24
9
8
8
0
0
16
48
1
16
16
0
0
0
0
0
0
0
0
0
1
0
8
8
0
8
20
20
20
8
1
0
1
1
1
0
0
8
8
8
16
16
16
16
4
4
4
4
0
1
8
16
8
0
4
0
12
16
16
8
8
8
0
8
8
4
8
0
0
0
0
16
16
16
16
16
0
0
0
0
0
0
0
0
0
32
0
0
8
12
0
0
0
0
0
0
8
0
32
0
0
8
16
16
0
16
0
0
8
16
28
28
8
8
0
8
16
9
9
1
8
2
16
8
16
16
17
17
0
0
0
0
16
16
16
0
0
0
0
0
0
1
1
4
0
0
0
8
4
16
16
16
8
17
17
17
17
0
8
16
16
16
0
1
0
1
8
8
8
0
0
0
2
0
0
0
0
0
0
8
0
0
0
8
8
0
8
16
8
24
2
2
2
16
16
16
16
16
16
16
0
16
2
2
2
2
32
0
0
8
0
0
16
16
16
8
0
0
0
8
8
0
32
40
0
8
4
4
8
12
12
12
0
0
8
8
8
1
1
1
1
1
1
8
8
16
16
0
0
0
8
16
0
0
0
24
24
4
8
8
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
1
51
51
0
4
4
1
0
0
8
0
0
0
8
8
0
4
32
8
8
8
0
0
0
0
0
0
0
0
0
16
0
20
1
8
8
8
8
8
16
8
0
0
0
2
8
0
8
0
40
8
8
8
4
16
16
8
9
8
0
0
48
4
0
18
16
4
4
4
0
0
0
8
8
0
1
1
0
16
16
56
56
56
41
41
41
33
1
1
0
0
0
0
0
16
1
1
1
0
0
0
0
16
16
8
8
0
0
0
0
8
0
0
2
8
16
8
8
8
0
0
0
0
0
0
0
1
0
0
0
16
16
16
0
32
16
4
4
4
4
4
8
4
4
4
0
0
4
4
4
16
25
25
25
16
16
16
16
16
16
16
16
0
22
4
0
13
4
0
0
2
8
8
24
0
0
16
1
8
8
0
16
0
8
0
16
0
16
16
0
4
8
8
0
0
8
8
3
3
0
8
16
8
16
16
40
0
0
8
8
8
8
8
8
8
19
0
0
0
1
0
0
8
0
1
1
1
1
1
1
0
8
8
0
0
0
0
8
0
4
16
16
16
8
2
16
16
16
0
0
0
0
0
0
0
16
24
24
0
0
0
0
3
32
32
0
8
8
2
2
22
8
8
16
16
16
16
0
0
0
0
8
8
8
8
8
0
4
0
4
4
0
0
34
8
0
0
0
0
0
8
0
0
0
0
4
20
0
16
16
8
8
8
8
8
0
0
0
20
20
20
12
0
0
0
0
0
0
0
0
0
0
4
0
16
1
16
16
8
8
8
8
0
0
16
16
8
0
3
2
0
16
16
8
0
0
0
0
24
8
8
8
8
24
0
32
0
6
4
4
0
8
8
8
0
0
0
1
1
0
0
0
8
8
0
0
8
8
8
8
8
0
8
0
0
0
0
0
0
0
0
0
0
16
16
18
18
8
0
0
16
8
0
2
1
1
16
16
16
0
8
8
8
1
2
16
0
0
4
0
0
8
8
16
4
0
20
0
57
57
57
57
57
57
57
0
12
8
4
16
8
8
0
0
8
16
16
8
8
2
16
5
16
16
16
4
4
4
45
16
16
16
2
0
16
16
0
8
8
8
0
0
0
16
16
2
8
16
31
0
16
4
0
0
0
0
8
8
16
0
8
2
16
0
0
0
4
28
17
1
1
16
16
24
24
8
8
8
8
8
8
0
0
8
40
40
40
0
16
18
4
8
16
16
16
16
16
16
16
16
16
16
8
0
0
1
0
0
8
8
0
0
0
4
4
4
32
2
16
0
0
8
8
8
8
8
8
8
8
1
4
10
57
57
57
57
57
57
57
57
6
0
0
0
0
0
4
8
0
16
0
16
16
0
0
4
8
8
8
35
0
0
0
2
16
16
16
16
16
8
8
8
8
8
8
8
8
0
8
8
0
0
0
0
0
8
0
0
0
0
5
8
0
1
1
0
4
16
8
8
0
0
0
16
16
2
1
1
1
0
0
0
0
0
16
16
10
12
0
8
0
0
0
0
0
0
0
1
18
1
0
8
8
52
0
0
16
16
16
0
8
0
8
24
24
8
1
0
0
0
8
16
16
16
0
0
0
16
0
0
16
16
8
1
2
40
0
0
0
4
1
8
1
1
8
8
16
0
0
0
0
0
0
0
16
16
16
16
0
0
0
0
40
40
4
0
0
0
0
0
0
8
24
24
24
24
24
0
0
0
16
0
0
8
1
0
24
24
0
8
8
16
8
0
0
0
0
0
2
0
27
0
8
16
0
0
0
0
0
16
8
8
2
8
8
16
1
0
0
0
0
0
16
0
0
0
8
8
8
8
16
16
16
16
16
1
1
32
32
4
8
8
16
8
8
8
8
8
0
2
0
0
0
16
16
8
16
8
0
0
0
12
1
16
8
9
0
24
0
0
0
8
0
0
8
1
16
16
0
0
8
20
0
8
0
8
16
16
16
16
0
0
16
0
0
16
16
16
4
4
4
4
32
32
32
0
0
0
0
8
0
1
1
8
8
0
8
8
8
8
18
8
2
2
1
1
1
0
0
4
4
32
32
0
0
0
16
0
20
20
8
0
8
8
8
0
0
8
8
8
0
12
27
2
2
0
0
0
0
16
8
32
14
8
8
16
17
17
17
17
0
0
0
16
16
16
0
0
0
0
0
0
0
0
8
8
8
8
8
0
24
24
24
24
0
0
8
0
0
0
8
16
16
2
2
2
0
0
0
16
8
0
24
24
24
0
0
0
0
16
1
8
8
0
0
8
4
16
0
8
0
0
0
8
8
8
0
2
16
0
0
0
8
0
0
16
0
8
8
0
0
0
0
0
0
0
8
32
32
8
5
0
8
0
0
0
1
8
8
8
8
0
0
16
4
0
16
32
32
8
0
0
8
0
0
8
8
2
2
2
2
2
2
0
16
16
16
8
8
10
32
32
0
0
0
0
0
0
0
16
0
1
1
0
0
16
0
0
1
2
2
2
2
2
8
0
16
6
5
0
0
0
0
0
0
0
16
8
18
0
0
0
0
8
8
8
4
17
0
0
16
8
16
0
1
0
0
16
16
0
0
0
0
0
1
0
16
16
16
16
16
8
8
1
24
16
16
16
1
0
0
3
3
3
0
0
2
16
61
61
61
61
61
0
0
0
0
24
4
4
16
8
0
0
0
16
0
8
8
2
8
8
8
8
2
4
4
4
4
4
0
0
0
4
4
0
1
1
16
16
8
8
0
36
0
0
0
16
0
0
0
4
4
4
4
4
4
34
2
2
0
0
0
16
16
16
16
19
19
0
12
12
12
16
16
1
0
0
0
0
16
1
32
8
8
8
0
0
0
16
16
16
0
0
0
0
0
24
24
24
4
0
0
0
1
0
0
0
0
0
0
8
8
16
41
41
0
0
0
1
1
4
20
16
0
8
2
2
0
4
10
8
8
8
2
8
8
8
8
2
2
2
0
0
16
8
0
0
0
1
4
4
8
8
0
24
24
0
0
0
0
16
0
32
0
4
0
0
0
8
0
0
0
0
8
0
16
16
16
16
16
0
4
0
0
1
57
0
0
16
16
8
8
0
40
8
0
0
4
4
4
4
4
16
24
24
0
0
0
0
1
8
8
8
8
8
16
16
16
1
1
0
8
8
2
0
0
0
16
16
16
16
16
16
0
0
0
2
2
16
16
16
20
16
16
16
16
16
2
2
0
0
4
4
4
2
8
8
8
8
8
0
0
0
0
4
4
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
16
0
0
8
8
0
8
8
8
33
16
33
16
16
0
1
0
17
0
0
0
24
24
24
24
0
8
8
8
21
0
0
0
2
32
16
16
0
0
0
0
0
28
28
8
2
0
0
0
0
0
0
0
0
0
0
4
16
16
16
8
8
8
8
8
0
8
0
0
0
8
8
8
1
32
16
16
0
8
0
0
0
0
0
4
4
4
4
4
8
0
0
0
0
0
0
8
0
0
16
4
1
1
1
1
1
16
16
8
8
0
0
8
0
0
0
0
0
16
1
4
0
2
2
0
0
4
0
0
0
0
0
0
0
0
0
8
8
8
0
4
2
0
0
0
0
0
0
0
0
16
1
0
0
6
0
0
8
4
4
4
0
0
8
8
8
28
4
16
4
4
4
2
2
8
8
0
0
16
8
17
18
8
8
0
1
16
16
0
0
4
4
4
4
24
8
0
16
16
4
0
0
0
16
16
16
8
0
0
0
0
0
0
4
4
4
24
24
0
0
0
0
16
0
0
16
0
4
4
8
8
8
4
4
4
0
0
0
2
0
0
19
16
16
16
16
13
0
0
16
0
0
8
4
26
26
0
0
0
8
0
8
8
0
0
4
24
24
24
0
12
12
12
12
12
8
8
2
0
0
0
0
0
0
0
0
8
4
4
16
16
8
32
20
20
16
16
16
16
16
16
1
40
1
1
16
24
24
24
24
9
9
9
19
0
16
8
2
2
4
16
16
0
0
0
0
0
16
16
16
16
0
8
16
8
8
0
0
0
0
0
0
0
0
16
16
16
1
1
0
0
0
16
16
16
16
0
0
32
32
32
32
16
1
16
16
16
16
0
8
32
0
0
0
16
16
0
0
32
0
8
1
0
16
2
0
0
16
8
0
0
0
0
0
8
0
0
0
8
16
16
16
16
16
16
0
0
0
18
0
8
16
8
0
0
0
16
0
16
0
0
12
16
16
8
8
0
8
0
0
0
0
0
0
4
16
16
8
2
1
8
1
8
1
16
16
0
8
0
8
0
0
0
2
0
16
0
0
0
0
16
16
16
16
16
16
16
0
0
0
8
16
16
16
16
24
8
16
8
0
0
0
32
16
0
0
0
2
12
8
8
28
28
8
8
16
16
16
2
0
16
4
4
0
0
8
0
0
0
1
0
0
0
0
0
0
0
32
0
16
16
16
0
0
0
0
0
0
8
16
8
8
4
4
0
32
2
2
2
2
2
16
16
16
16
16
16
9
0
8
8
4
0
0
16
16
0
0
8
0
8
8
16
1
1
56
8
0
8
8
16
16
0
0
8
0
2
8
0
8
16
16
8
48
4
8
0
0
8
8
8
0
8
8
0
10
10
0
0
0
8
1
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
6
16
16
16
8
8
8
0
0
0
1
0
0
0
0
0
1
2
0
32
16
16
16
0
0
0
8
8
0
0
24
16
0
1
1
0
0
0
0
16
0
0
20
32
32
32
0
0
0
0
0
0
0
0
2
2
0
8
8
0
0
8
8
0
4
4
4
0
48
48
48
48
4
4
24
16
8
16
16
2
8
0
16
0
0
32
32
8
8
0
0
8
8
16
16
4
4
0
0
1
1
1
1
24
0
0
0
16
2
8
8
16
16
16
0
0
0
0
0
0
8
0
0
8
0
0
0
16
16
0
2
25
8
8
8
16
16
8
8
0
16
12
32
0
0
16
16
32
0
8
8
0
16
16
8
8
8
16
16
0
0
0
0
0
16
2
2
2
8
8
0
8
16
8
16
1
0
2
5
8
8
0
0
0
8
0
0
0
0
0
0
0
0
16
0
0
16
16
16
16
16
8
0
0
0
0
8
8
2
2
0
8
0
8
32
0
16
5
24
24
0
50
8
0
0
1
1
1
0
0
0
8
4
26
0
9
9
0
1
8
0
0
1
4
4
16
0
4
4
12
8
8
8
10
10
10
16
0
0
0
0
0
8
8
2
9
9
9
9
1
1
1
1
16
16
0
0
8
0
0
1
0
0
2
2
2
2
2
0
8
16
4
4
4
32
32
32
32
32
1
0
0
0
0
8
8
8
8
8
0
0
0
0
1
8
16
16
40
0
0
16
16
0
0
2
2
16
0
21
0
0
0
0
8
0
0
0
2
8
8
8
16
8
0
8
8
8
0
16
8
0
16
0
1
8
16
16
16
16
18
18
0
24
24
24
24
0
0
0
0
0
8
8
0
9
0
0
0
0
16
16
16
0
4
0
0
0
0
0
1
28
28
28
8
8
49
49
49
16
16
0
0
0
0
0
8
16
16
16
2
16
8
0
2
0
16
32
32
32
32
16
0
13
13
8
8
0
8
8
16
16
0
0
0
0
2
0
0
0
8
8
8
16
16
0
0
0
0
0
8
0
16
16
16
0
1
0
0
0
0
8
8
8
0
0
16
16
18
8
0
0
0
0
0
16
4
4
8
0
0
16
8
16
16
0
0
0
0
0
0
18
24
24
8
0
0
0
0
0
0
16
16
16
16
1
1
4
0
0
0
0
0
16
8
8
8
8
8
8
4
8
8
8
8
0
4
4
8
16
18
8
0
0
0
0
0
0
0
8
2
2
0
16
8
8
0
0
0
8
1
0
0
0
28
28
0
0
0
4
16
16
0
16
16
0
0
0
8
8
8
2
2
16
1
1
1
1
0
0
8
0
1
1
1
0
8
8
0
0
0
4
0
11
0
8
0
0
0
8
8
20
8
0
0
0
8
2
2
8
0
0
4
1
4
16
0
0
16
8
38
16
0
0
0
1
1
1
0
0
16
0
0
0
0
32
32
22
2
0
1
4
0
0
0
0
0
8
20
20
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
8
0
10
8
16
0
0
0
16
0
1
0
16
16
0
0
16
0
16
16
57
16
16
16
16
16
16
1
1
1
1
0
17
8
8
8
0
4
4
0
1
8
8
4
4
8
8
0
5
0
8
24
8
16
16
16
0
16
16
16
8
0
0
1
1
8
1
6
6
8
8
24
8
0
0
2
0
16
16
4
16
0
16
16
6
6
25
0
16
0
0
16
8
8
0
16
4
4
8
1
0
8
0
16
8
0
0
0
32
32
9
4
4
4
4
0
0
0
0
2
0
0
0
0
0
1
1
1
16
0
0
0
4
0
0
16
0
0
0
8
57
2
2
2
8
1
1
0
0
0
0
0
16
16
16
16
16
16
16
16
16
0
20
1
1
1
16
0
0
0
8
0
8
8
8
1
0
1
1
2
2
16
16
16
0
0
0
1
8
16
0
16
0
0
0
0
4
8
0
0
0
0
0
0
0
0
0
16
0
20
8
27
27
16
16
17
17
17
0
0
0
24
24
0
2
16
0
4
8
0
0
16
16
16
0
1
17
8
8
8
24
16
0
0
16
16
18
0
8
17
17
16
16
0
8
2
12
0
0
0
4
0
1
16
8
0
0
0
1
1
4
0
8
0
24
24
24
8
8
8
8
8
8
8
16
16
0
48
16
16
16
8
8
0
10
4
0
28
36
36
36
36
36
24
0
0
21
21
21
21
19
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
16
16
16
8
8
0
0
0
0
24
4
0
16
0
8
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
16
16
0
16
16
16
16
16
0
0
8
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
17
8
18
18
32
4
16
16
0
1
1
16
16
16
16
16
16
8
0
0
0
0
0
3
8
0
8
8
16
0
0
0
8
8
8
16
0
40
0
0
8
0
0
8
8
8
8
8
0
8
28
20
0
20
20
0
0
0
0
0
0
0
0
0
16
16
16
8
0
0
8
8
0
0
1
0
0
0
24
24
24
0
0
8
8
4
7
0
48
48
2
0
0
0
9
0
4
0
0
55
55
1
1
8
16
16
16
16
1
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
16
0
0
0
16
0
0
8
20
20
20
20
0
0
0
8
8
8
4
0
0
0
0
0
8
8
8
8
2
4
9
9
11
3
0
8
0
16
16
16
16
0
0
8
8
0
4
4
1
4
16
0
0
16
4
1
16
16
1
1
32
0
0
8
8
8
8
8
8
16
16
16
0
0
0
0
24
0
13
0
0
0
12
20
8
17
17
0
0
16
24
0
8
16
8
8
0
24
24
24
0
1
16
16
16
32
32
32
1
1
1
0
0
8
0
0
0
32
32
1
1
0
8
8
8
8
16
36
36
36
36
0
1
17
16
16
0
0
1
0
0
0
0
0
0
0
0
0
24
24
0
2
2
2
16
32
16
0
1
41
1
12
12
12
0
0
16
0
0
0
0
16
8
8
8
0
8
8
34
2
0
8
1
8
8
8
4
8
4
0
24
2
2
2
0
1
40
40
4
0
0
0
0
0
0
2
4
4
0
0
16
16
32
0
16
8
8
8
8
4
30
2
8
0
8
16
3
0
16
16
8
16
16
0
0
21
20
20
20
20
20
24
13
0
0
0
26
26
0
0
4
4
1
0
8
0
0
39
8
48
16
0
0
0
0
1
18
4
2
0
4
4
0
0
0
0
0
0
0
16
16
16
16
16
4
8
8
0
0
0
8
0
0
0
0
0
0
0
0
8
0
0
0
2
16
0
0
8
8
0
0
16
28
0
0
0
0
0
0
0
0
10
10
32
32
32
32
16
0
0
0
2
2
16
16
0
16
4
0
1
8
0
8
21
21
21
0
8
2
2
8
0
8
8
8
8
16
0
0
0
16
12
0
0
0
0
4
8
8
8
8
9
0
0
0
0
44
16
24
8
8
0
16
8
8
0
0
0
28
28
28
8
0
4
0
16
8
8
16
16
0
0
0
0
0
0
0
20
16
0
8
16
16
16
16
0
0
9
0
2
0
4
4
4
0
16
16
8
2
10
0
0
2
24
0
32
32
32
32
0
0
16
16
8
0
0
8
0
8
8
0
16
16
3
8
8
16
2
2
2
16
12
0
0
4
40
40
8
6
6
24
0
0
17
1
1
0
0
0
8
24
8
1
24
0
0
0
1
1
1
1
0
0
16
0
0
0
0
0
4
0
0
2
0
8
2
0
12
8
18
8
4
0
16
16
10
22
22
17
8
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
8
2
0
8
0
0
0
0
0
0
15
8
8
1
1
1
1
0
0
0
4
4
0
0
0
0
16
0
0
8
0
0
24
24
24
24
0
0
0
0
16
0
0
0
0
0
0
16
16
16
16
16
16
16
10
0
0
16
16
16
0
0
8
2
8
8
8
16
10
1
42
20
20
4
18
0
0
0
8
0
2
8
8
16
0
0
0
1
8
8
0
32
0
0
0
0
0
0
0
0
0
0
0
16
16
16
16
8
0
16
16
16
16
16
16
8
8
16
8
16
0
0
0
0
8
8
4
4
4
4
16
32
32
0
8
1
16
8
4
4
0
0
0
16
0
0
0
4
8
8
3
3
16
16
16
16
16
16
16
16
0
2
2
0
0
0
0
8
4
8
8
8
0
8
8
8
8
8
0
0
12
1
16
2
2
0
0
16
16
0
0
0
2
0
24
0
0
16
16
16
16
16
16
4
33
33
33
8
8
8
12
6
8
0
8
8
14
0
0
16
16
0
0
16
16
16
0
4
8
4
4
0
0
16
41
0
0
20
20
8
8
2
0
16
16
0
16
16
16
0
8
2
2
16
41
0
0
8
16
18
25
25
25
25
25
0
0
0
0
0
16
9
9
0
2
8
8
8
2
0
24
0
32
32
32
1
0
0
4
0
17
17
8
0
0
0
1
1
0
0
16
16
40
8
8
0
0
0
0
16
0
0
16
8
8
8
8
0
0
4
0
16
8
8
8
0
0
4
16
0
16
16
16
0
4
0
0
30
30
8
8
8
4
0
0
2
0
12
0
8
8
8
16
16
16
16
16
8
8
0
0
0
0
16
16
0
0
8
24
16
0
16
1
24
0
0
24
24
24
24
24
8
8
8
0
16
40
40
8
8
8
3
16
28
0
0
0
0
1
24
24
24
0
0
24
24
24
8
0
0
24
0
0
19
0
16
0
0
48
48
48
48
0
0
0
0
2
2
2
16
16
16
32
0
8
0
8
20
20
8
16
16
16
16
2
26
16
0
0
0
0
0
0
0
16
8
8
16
16
16
0
8
0
0
0
24
24
24
8
8
8
8
0
8
8
8
0
0
8
0
0
24
8
1
17
1
1
0
0
0
8
8
0
0
0
0
8
8
8
8
0
16
1
16
16
16
0
24
8
4
4
0
0
16
16
16
16
16
16
16
16
16
0
16
16
16
2
0
14
24
24
0
16
0
24
24
24
0
16
16
0
0
0
0
1
1
0
17
0
0
16
0
0
8
0
8
0
0
16
16
0
0
2
16
18
18
18
1
1
1
4
4
4
2
4
8
8
0
4
4
0
0
8
8
8
16
16
16
0
16
16
16
16
8
0
0
0
0
0
1
0
0
0
0
8
8
8
8
8
0
0
1
0
1
0
0
12
4
4
8
8
1
16
8
8
0
51
0
0
1
24
16
0
8
20
16
8
8
0
0
0
0
3
0
0
0
0
2
8
0
0
16
21
21
4
4
0
0
0
0
8
8
8
8
8
0
8
0
0
24
24
0
0
0
0
32
32
0
32
32
12
0
4
0
0
0
0
0
32
32
0
0
0
26
16
0
0
0
16
0
2
0
0
0
10
16
8
8
8
0
0
0
16
16
4
17
17
17
0
16
0
0
0
0
0
0
0
0
8
8
1
0
16
0
8
10
0
8
8
8
8
0
1
0
17
17
17
17
17
9
4
35
0
0
0
2
2
2
0
0
8
16
16
8
0
16
0
0
16
16
16
16
16
16
20
0
0
0
0
32
8
2
0
8
16
16
8
0
0
16
16
16
16
16
8
16
16
8
0
8
16
16
0
16
16
2
0
0
16
0
0
1
8
8
16
8
8
8
0
4
16
0
0
0
0
0
8
4
4
2
0
0
0
0
0
0
0
0
0
4
4
0
0
8
8
8
8
8
16
32
32
32
8
0
0
0
8
8
8
8
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
8
8
24
24
0
0
0
0
0
16
8
0
4
16
16
16
0
0
1
0
0
8
8
8
8
1
0
0
0
16
32
0
6
0
8
8
8
8
26
26
0
0
0
0
0
2
0
0
8
16
8
0
0
0
0
8
0
0
0
0
0
0
0
9
9
9
0
1
52
0
0
0
8
16
16
0
0
0
0
2
0
0
0
8
1
1
8
8
8
0
16
8
16
1
1
16
0
8
0
0
0
0
0
0
0
0
0
32
32
32
8
16
16
0
0
0
17
8
0
0
0
0
0
0
0
0
0
0
9
9
16
16
16
16
0
0
1
1
1
8
0
0
0
8
20
2
0
56
56
56
16
8
0
0
0
1
1
0
0
0
0
0
0
0
1
0
2
0
8
16
16
16
0
0
2
28
8
8
8
4
4
4
4
4
4
4
4
8
8
0
0
0
22
22
22
28
24
40
40
16
0
8
4
4
4
0
32
32
32
32
16
16
8
8
16
16
16
24
0
1
20
0
4
4
4
4
0
0
0
0
0
16
16
16
0
8
8
8
8
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
27
27
27
2
0
16
16
24
24
32
1
8
1
1
0
16
0
8
16
16
0
0
1
1
1
1
1
8
8
8
24
0
24
0
0
0
16
16
8
8
0
0
0
0
0
0
16
16
32
8
8
8
8
8
24
24
0
0
0
0
0
0
41
0
0
8
16
1
0
0
8
4
2
2
9
9
0
2
2
2
0
0
16
0
0
8
0
0
18
16
6
6
0
0
16
0
0
4
4
0
0
0
0
0
16
0
0
0
0
0
18
18
4
8
24
4
0
18
0
16
8
8
16
0
0
0
16
0
0
0
0
8
8
0
0
32
32
32
1
8
8
8
4
0
0
16
32
16
16
16
16
4
4
4
4
16
16
0
0
32
32
12
12
12
12
12
0
8
4
4
0
0
8
16
8
4
0
0
0
0
4
8
8
8
0
0
8
0
8
1
0
32
0
8
0
8
28
0
8
8
16
0
16
3
16
8
8
8
40
2
2
2
9
0
0
0
0
0
6
2
17
0
4
8
8
8
28
16
16
0
0
4
0
0
0
0
0
0
16
32
32
16
8
8
16
16
16
8
4
0
0
0
0
0
0
0
0
0
0
0
8
8
8
20
20
2
2
16
0
0
0
58
1
16
16
2
2
4
4
1
2
8
8
1
16
16
16
16
4
1
8
24
0
0
4
4
0
9
25
0
1
1
16
16
0
0
8
8
0
0
0
0
0
32
0
0
16
16
16
1
1
1
8
12
0
0
8
8
4
0
0
0
2
2
49
49
0
0
16
16
16
0
15
15
32
32
32
16
16
16
8
8
8
4
0
0
16
16
0
9
32
32
0
0
0
4
4
0
2
8
16
16
16
8
0
0
0
0
0
4
8
8
2
0
0
16
16
0
0
16
0
0
0
1
0
0
8
8
8
8
8
0
4
4
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
3
0
0
24
0
0
0
16
1
0
0
0
0
0
8
24
32
16
16
16
2
2
2
1
0
0
8
16
16
2
2
2
0
0
0
12
12
0
4
4
0
0
16
16
16
16
8
8
4
16
16
16
0
0
0
0
8
8
0
0
0
0
0
8
8
8
0
32
32
32
32
8
0
0
0
0
0
0
20
0
0
0
0
0
8
16
16
0
0
0
32
32
2
8
0
16
16
0
1
0
1
1
0
4
1
1
0
16
0
0
8
8
8
16
16
0
0
0
32
0
0
0
0
8
1
1
1
0
0
8
1
1
1
1
0
1
8
8
0
13
16
16
0
8
52
52
8
9
0
0
16
8
8
8
0
2
2
2
18
16
0
0
0
0
42
42
16
8
16
8
8
8
0
0
0
0
8
16
16
16
0
0
0
0
1
1
8
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
4
0
0
0
0
8
0
0
8
0
0
0
0
0
8
8
4
4
12
0
16
1
12
0
16
12
0
0
0
0
0
0
33
0
0
0
0
0
0
0
0
8
8
8
8
8
8
16
16
16
16
16
2
2
0
0
0
0
0
0
3
0
6
6
21
21
21
16
1
2
0
32
32
32
8
8
0
0
0
0
32
16
16
16
18
8
8
2
42
0
1
0
20
20
16
8
0
0
0
0
0
0
0
0
16
16
1
0
0
1
1
0
0
0
8
8
8
8
8
8
2
1
0
0
0
0
0
0
1
1
8
0
0
0
0
8
0
16
16
1
1
0
0
0
0
0
0
0
0
0
8
8
8
8
8
16
16
16
16
16
16
16
8
16
4
4
4
4
4
1
0
0
0
2
2
2
0
0
0
0
0
16
16
16
16
8
8
8
8
0
0
1
0
0
0
0
16
16
0
0
0
0
0
1
4
8
0
0
0
0
12
24
24
24
24
24
24
24
0
2
2
16
16
16
0
8
0
0
0
0
2
0
0
4
8
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
1
24
24
18
18
20
0
0
0
6
16
8
42
42
0
12
0
0
16
8
0
0
0
1
8
8
16
16
16
16
16
16
16
16
0
8
8
8
1
1
1
0
48
48
48
48
16
0
0
8
12
12
12
0
8
8
8
8
0
0
0
16
16
16
12
0
24
16
2
8
16
1
24
24
24
0
0
8
8
0
20
20
8
0
16
4
24
8
0
0
0
0
24
0
0
2
2
8
1
1
1
1
1
1
8
0
0
8
16
28
8
0
0
1
1
1
16
0
0
1
1
16
0
0
0
0
0
0
0
0
0
0
0
2
2
0
0
0
9
9
8
8
8
16
16
16
16
16
0
0
0
8
9
0
0
2
2
2
0
9
9
0
0
0
17
17
8
0
16
0
0
0
32
0
4
2
2
2
4
0
8
8
4
0
0
0
0
8
0
0
0
0
4
4
0
0
0
0
24
0
0
1
0
2
2
25
25
25
24
16
16
0
0
0
8
0
8
8
8
20
16
0
8
1
8
16
0
0
20
20
20
16
1
0
0
0
52
52
4
4
16
8
8
0
1
0
0
0
32
32
4
16
16
0
0
16
0
2
2
33
8
17
1
16
16
0
0
0
8
8
8
0
8
0
0
0
0
0
0
8
0
8
8
8
8
8
8
8
6
24
24
16
12
0
0
0
1
0
0
0
8
8
0
0
6
6
6
16
0
9
20
8
8
8
24
16
8
8
8
8
8
8
8
8
8
0
32
32
32
32
2
16
1
1
0
0
0
0
0
0
16
16
16
16
16
8
8
1
1
1
1
1
0
16
16
0
0
2
2
8
26
2
0
0
0
24
16
16
8
8
8
16
24
0
0
0
32
16
0
0
0
1
1
1
1
1
1
1
17
0
8
0
26
26
26
8
0
24
24
24
0
24
24
24
24
8
8
32
32
16
1
0
4
16
0
0
0
0
0
0
0
0
0
8
4
4
4
4
4
4
4
4
4
4
4
4
4
4
8
32
16
8
16
16
24
16
0
0
3
3
7
36
8
8
1
0
49
49
49
49
0
0
0
0
4
8
16
0
0
16
16
16
0
0
16
16
16
16
4
8
8
0
8
8
0
0
4
8
0
16
16
0
0
0
25
10
10
0
16
16
16
0
0
4
16
16
8
4
4
4
4
4
0
8
16
8
8
16
40
0
0
8
0
0
0
16
16
16
8
16
16
8
8
0
0
0
0
0
16
16
0
8
2
2
16
0
0
0
0
0
0
8
32
8
8
0
4
4
0
4
4
4
4
4
18
18
8
8
0
0
1
0
0
8
0
8
16
8
8
8
8
0
0
0
17
17
17
0
0
0
0
16
16
16
0
0
8
8
8
8
0
0
16
16
16
16
16
0
0
4
4
24
0
20
24
0
0
16
40
0
0
8
8
0
24
7
0
0
16
0
4
4
4
0
0
0
8
2
2
0
16
0
8
8
8
0
0
0
0
0
32
0
8
8
0
0
8
0
0
8
24
24
0
0
0
1
8
8
8
8
0
1
0
0
0
4
4
4
0
8
2
0
24
8
8
8
0
1
8
8
8
0
8
0
0
0
0
2
2
4
8
8
4
4
1
40
0
8
0
0
2
18
18
18
18
0
0
0
0
16
8
0
16
0
0
0
0
1
20
30
16
16
32
0
0
16
16
0
24
24
24
0
1
1
0
16
16
16
1
8
8
18
8
4
0
0
0
0
0
0
0
0
0
0
16
8
8
16
16
16
16
16
16
16
0
1
0
0
8
8
18
2
2
8
8
16
16
0
16
4
4
4
0
0
2
8
8
0
0
32
8
25
8
8
8
8
8
32
32
0
24
24
16
16
16
16
8
8
4
4
4
8
0
0
0
16
16
48
48
0
4
0
0
1
32
32
32
32
32
16
0
16
16
16
16
16
16
1
0
0
0
16
0
32
32
0
53
53
53
53
53
53
8
8
9
16
16
0
0
16
0
0
8
8
2
2
2
2
0
0
0
33
33
0
16
8
8
28
32
32
32
32
32
32
0
0
16
0
0
0
8
12
1
1
3
3
8
8
0
8
8
8
8
8
0
0
0
0
8
8
8
8
8
0
0
0
34
0
0
0
8
9
9
9
9
9
8
8
16
16
8
8
8
0
8
0
0
16
16
16
0
0
0
0
0
8
0
0
8
0
8
16
16
8
0
0
0
0
0
0
0
4
17
16
16
16
0
0
0
0
0
0
0
24
24
0
0
8
0
2
0
0
0
1
1
0
0
0
0
0
16
1
1
1
0
0
0
0
16
16
8
0
0
32
24
1
16
16
16
8
8
8
8
8
0
0
0
0
0
0
8
8
0
0
0
0
0
6
6
0
32
32
0
0
0
1
32
8
0
8
0
24
24
2
8
16
8
2
0
0
8
17
0
0
0
0
8
4
16
4
4
4
24
8
8
4
4
4
4
4
0
0
0
0
0
0
8
8
8
0
2
6
6
8
8
8
24
24
32
0
0
16
16
0
0
20
0
0
16
0
1
1
8
0
20
0
0
0
4
0
4
8
0
8
0
0
0
24
16
4
0
0
0
0
5
0
24
24
0
0
8
0
0
8
8
16
0
0
8
8
0
0
0
0
43
16
16
0
0
0
0
9
9
0
2
16
16
16
16
16
16
0
8
8
8
16
0
0
0
0
8
25
8
8
8
8
0
1
1
20
20
20
20
8
2
2
2
0
0
24
24
0
0
8
8
4
4
4
4
4
0
1
1
1
0
0
0
33
0
4
0
0
4
0
0
0
0
0
0
0
8
24
32
16
16
16
0
16
8
8
8
16
8
8
8
16
16
16
16
16
0
24
25
2
2
0
0
0
0
0
16
8
8
8
16
16
16
8
16
8
8
0
16
8
32
32
0
4
12
0
0
0
0
0
8
0
0
0
0
0
4
0
0
0
2
2
2
2
0
6
0
0
8
8
32
0
0
8
0
8
0
4
16
16
8
8
32
0
0
0
8
0
17
17
4
8
16
16
16
0
0
4
4
4
4
2
9
0
8
16
16
16
0
16
1
8
8
8
8
0
16
16
12
12
10
5
4
4
8
8
8
8
8
3
3
3
3
16
16
16
16
16
16
16
16
16
0
0
0
0
0
0
8
8
0
0
0
0
0
4
4
0
16
0
8
0
8
16
16
16
0
0
8
0
8
0
0
0
0
0
16
16
16
0
24
24
24
8
24
0
0
0
0
0
0
0
8
8
24
10
0
2
2
2
2
2
2
2
8
16
16
0
16
16
1
0
32
2
2
0
0
0
8
8
16
8
16
10
10
0
0
0
0
0
0
0
16
16
40
16
16
8
8
8
0
0
0
0
1
12
0
16
8
8
2
2
2
4
24
24
32
32
2
27
16
16
16
16
16
0
0
0
0
0
0
0
4
16
32
32
0
0
3
3
24
4
32
1
0
0
0
0
0
1
1
0
4
4
0
4
4
4
4
4
16
0
0
0
9
40
16
32
16
16
16
16
8
12
12
8
0
4
4
16
16
0
0
16
8
0
0
0
0
0
32
0
40
8
16
0
0
0
25
0
0
16
8
8
0
25
8
8
15
8
8
0
0
0
60
0
0
0
3
4
0
4
0
0
29
29
29
32
16
8
4
4
4
4
4
0
8
20
22
16
8
16
8
0
16
8
16
8
0
16
8
8
0
0
4
4
4
8
8
8
8
8
1
0
0
32
32
9
1
1
0
1
1
1
8
0
0
0
0
0
0
0
16
16
0
8
2
0
0
0
0
0
0
8
8
8
16
8
8
0
24
24
24
24
9
9
9
9
0
16
16
0
0
4
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
20
10
0
0
0
0
8
0
0
0
0
16
32
0
0
0
0
36
0
0
0
0
0
0
8
0
0
0
0
0
2
2
8
0
0
0
0
0
16
16
16
2
2
8
0
0
0
0
0
20
0
0
0
8
16
0
0
0
0
10
16
8
16
16
0
16
16
0
8
8
24
0
8
16
16
16
8
0
0
0
0
0
8
0
0
8
0
8
0
16
16
17
0
0
24
24
24
24
24
0
8
8
8
8
8
4
2
0
0
2
1
0
0
0
0
0
48
8
8
8
8
8
8
8
0
0
0
12
12
0
0
0
0
8
8
0
16
0
0
0
0
0
16
0
4
0
0
0
0
41
24
2
2
2
2
0
0
8
8
2
2
8
8
8
8
8
8
8
8
8
8
16
0
0
8
8
8
16
16
16
16
16
0
0
8
8
8
8
0
4
4
6
0
4
4
16
2
4
0
4
0
0
0
18
18
16
16
4
0
0
16
5
0
0
0
16
16
4
4
4
0
0
8
8
8
16
16
8
8
0
0
0
16
16
2
2
2
40
4
0
18
18
0
0
8
8
8
6
6
6
4
4
0
1
1
0
16
16
16
0
8
8
16
8
0
2
16
0
0
0
0
4
20
1
16
8
48
16
16
8
8
10
10
16
14
14
14
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
3
4
4
0
16
0
4
1
18
22
22
24
8
8
8
16
0
0
0
0
6
16
16
16
16
0
16
0
0
8
16
40
0
0
8
16
16
0
0
1
1
1
16
0
16
0
8
16
16
16
8
8
8
0
0
8
8
8
11
0
0
0
0
0
1
1
4
0
0
0
32
4
16
8
0
16
16
8
0
0
0
0
0
8
10
0
0
0
0
0
8
8
8
0
0
0
32
32
32
0
8
8
8
0
0
0
0
0
0
4
16
8
8
16
4
0
0
2
6
16
2
1
1
2
32
16
16
1
0
0
0
0
0
0
0
4
4
0
0
0
0
0
8
8
8
0
0
0
8
16
8
0
0
0
0
0
0
8
0
0
0
16
8
16
0
0
0
26
0
0
16
16
16
0
16
16
16
16
18
18
0
0
8
8
8
6
12
0
0
8
8
8
48
48
48
2
2
2
0
32
0
16
0
8
0
0
0
0
0
20
20
20
0
0
4
8
8
8
0
24
24
17
17
0
0
0
0
0
8
16
16
16
8
32
32
4
4
16
4
4
0
0
24
8
12
2
1
16
0
8
9
8
2
8
33
33
8
1
1
0
8
32
8
0
0
8
8
8
4
4
4
4
4
32
16
16
0
0
0
17
17
8
0
0
2
2
8
8
0
16
16
0
0
0
16
4
8
22
0
2
8
8
6
4
6
6
16
16
16
16
1
0
0
8
8
8
24
0
0
8
16
0
16
16
0
10
10
10
0
0
0
20
20
20
8
24
24
12
12
8
8
1
44
0
0
0
30
0
16
8
8
0
0
0
0
2
2
16
16
0
0
32
0
16
16
16
5
16
16
20
0
0
4
1
1
1
1
21
2
30
30
30
8
16
0
0
0
1
8
16
16
0
0
0
0
0
0
0
0
8
16
8
16
0
8
4
16
16
16
16
0
0
16
0
0
0
13
16
16
16
16
8
1
1
0
0
0
0
0
0
0
0
8
0
0
8
0
12
0
4
8
0
0
8
8
8
8
0
32
32
0
0
16
2
8
4
4
8
8
8
8
16
4
2
8
8
8
0
0
0
0
0
8
8
8
32
2
2
0
16
16
0
32
32
0
24
16
0
0
0
8
8
0
8
8
40
0
0
0
0
0
4
1
1
4
0
0
8
0
0
0
0
16
16
0
0
32
0
8
0
0
0
0
0
0
0
0
8
1
16
8
8
8
0
8
8
0
8
0
2
0
4
0
50
50
8
32
0
0
16
16
16
0
5
2
24
1
0
0
8
16
16
16
16
1
0
0
10
10
0
60
26
8
0
0
0
17
16
8
0
0
9
32
24
8
16
16
57
18
18
18
18
18
18
18
8
8
8
16
16
16
16
16
8
0
8
0
0
4
4
4
4
8
8
0
18
18
24
16
0
32
32
1
1
1
1
1
0
2
0
8
8
0
0
4
0
16
0
0
0
0
0
0
0
0
0
0
32
32
0
0
24
16
0
0
16
16
0
0
4
4
0
0
0
2
2
2
2
24
8
0
0
0
0
0
8
9
9
8
8
8
8
8
32
4
4
4
4
2
16
8
0
0
0
8
0
8
8
12
0
0
0
0
0
8
0
8
8
17
17
17
0
0
0
0
0
0
16
16
8
8
32
32
32
32
32
37
24
24
16
0
0
0
0
32
8
8
0
0
0
0
1
16
8
2
2
2
2
2
2
56
16
8
8
0
0
0
8
0
0
32
8
32
0
0
0
28
0
0
0
0
0
0
0
24
0
16
8
0
0
16
0
0
4
0
0
8
8
8
8
8
8
8
1
1
0
0
1
2
2
2
2
2
8
1
0
16
16
16
16
32
32
32
0
6
4
0
8
8
8
8
1
0
16
8
0
0
16
16
16
0
34
16
8
8
16
0
4
16
8
2
2
16
16
16
16
8
8
8
8
8
8
8
8
0
0
0
0
0
0
0
0
0
8
8
8
8
56
56
56
8
8
4
16
4
4
32
8
0
16
0
1
1
0
0
0
0
0
0
0
0
8
0
0
0
0
16
0
0
8
0
16
0
0
8
0
0
18
32
0
1
4
32
52
0
16
0
0
0
0
0
8
0
4
0
0
0
0
8
16
0
0
0
0
0
0
0
16
16
16
16
0
8
0
16
16
16
0
0
0
8
0
0
0
16
2
0
0
0
16
0
0
0
0
0
0
0
0
16
25
8
8
8
0
0
2
8
0
2
2
4
4
4
8
24
0
0
0
34
16
24
16
16
8
0
0
0
8
8
8
8
0
0
8
8
8
0
4
4
16
0
0
4
8
1
0
0
18
0
0
1
1
1
0
16
0
0
0
1
1
20
0
16
16
1
4
0
18
2
2
2
0
8
0
5
18
18
16
16
8
8
0
8
0
0
2
4
4
0
24
24
0
0
12
12
16
2
2
2
2
0
0
8
11
4
2
2
8
8
8
8
0
0
32
0
0
24
0
0
0
0
0
0
0
0
0
0
4
16
16
16
16
16
16
0
0
0
0
0
0
0
1
4
4
0
0
0
8
8
16
16
16
2
0
8
32
32
0
0
0
0
0
20
20
0
16
16
16
16
16
0
0
0
16
16
16
16
16
8
8
8
8
8
8
0
0
16
16
16
2
8
0
16
4
4
0
16
1
0
0
0
16
0
17
17
17
2
0
0
0
0
0
0
0
16
0
0
0
20
20
20
20
20
20
20
20
20
8
0
0
0
0
0
0
8
8
8
8
2
2
16
16
8
16
1
0
16
1
0
0
0
0
0
0
0
16
16
8
8
32
16
16
8
8
8
8
0
0
8
8
0
0
0
0
0
0
0
0
0
2
2
2
2
8
8
8
16
16
16
4
16
16
8
8
4
4
0
8
8
16
0
0
9
9
9
32
32
32
32
8
24
16
0
16
5
8
8
16
16
32
16
0
8
24
8
4
10
1
2
2
2
2
16
1
1
1
16
8
0
0
8
0
0
0
0
0
24
24
0
0
0
0
8
0
16
16
0
0
4
0
4
4
4
4
16
16
4
8
8
0
16
2
4
0
0
0
0
0
0
0
8
0
0
20
8
0
0
0
8
8
24
0
8
0
16
16
0
8
8
8
4
48
1
1
1
8
16
16
0
16
16
0
20
0
0
0
0
32
16
16
16
1
1
0
1
0
0
8
0
0
0
0
8
30
30
0
4
0
0
16
4
32
8
8
0
0
18
18
0
0
4
4
0
0
0
0
1
1
8
16
16
16
0
17
1
1
0
0
0
0
4
8
0
0
16
0
0
0
8
8
1
1
1
1
1
8
0
0
0
18
0
0
1
8
2
0
0
0
0
8
8
4
4
8
16
1
0
0
4
4
16
16
16
0
0
0
0
8
4
16
16
1
1
1
0
0
8
8
4
4
1
0
16
24
1
8
8
1
9
8
8
8
0
8
8
8
8
8
16
16
8
16
16
0
8
8
0
16
16
8
0
16
0
0
16
16
16
16
1
7
7
7
20
20
16
0
8
0
0
0
0
0
0
4
16
2
16
16
16
8
0
2
48
8
8
18
18
18
0
0
4
4
4
6
0
0
16
24
24
0
0
0
20
20
8
8
0
18
18
18
18
0
8
8
8
24
24
24
8
8
0
0
9
9
8
0
0
8
8
8
0
0
4
4
1
16
8
8
0
0
0
0
0
0
0
18
7
12
4
8
0
0
10
0
8
0
8
8
0
0
0
8
16
16
24
0
0
0
0
10
10
35
35
35
35
35
8
1
1
16
8
0
0
16
16
8
8
8
8
8
4
4
4
4
16
16
16
0
0
8
8
0
0
24
8
1
0
0
2
0
0
0
8
8
0
0
8
8
8
16
0
0
0
0
0
0
0
16
16
16
0
1
1
1
1
1
1
0
0
24
24
24
24
24
24
24
2
2
2
20
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
8
8
0
8
0
0
0
1
1
16
16
16
16
16
2
2
16
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
8
8
2
2
0
6
8
0
16
1
8
8
8
8
8
0
0
0
8
8
32
32
32
8
0
20
8
32
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
16
0
0
8
8
8
0
0
4
0
16
18
0
0
0
48
0
0
4
16
16
7
0
0
12
12
0
0
0
16
16
16
38
0
0
0
9
2
0
16
9
4
4
4
2
12
12
10
0
0
0
1
1
0
0
4
8
4
16
0
0
1
16
16
0
0
4
40
0
0
0
4
0
1
16
48
48
48
8
8
8
8
8
0
0
8
8
8
0
4
0
8
8
16
0
0
0
0
0
16
16
16
0
8
8
0
16
8
1
8
8
0
8
8
0
0
0
0
0
0
16
0
0
16
16
16
20
20
20
1
1
8
8
0
8
8
16
0
56
24
8
0
0
8
0
0
0
16
9
9
4
1
0
0
0
24
0
0
0
0
0
0
8
8
8
8
8
8
8
8
16
0
0
32
32
8
8
32
32
32
32
32
0
16
16
16
8
8
0
0
0
0
0
0
0
8
0
0
4
1
0
0
0
20
20
32
0
24
8
0
0
0
18
6
25
4
0
0
0
0
8
8
0
0
8
0
2
0
1
2
2
2
2
16
16
16
16
16
16
16
8
8
8
8
8
8
0
8
0
1
16
0
0
2
24
24
8
0
8
1
1
16
16
8
0
0
0
0
0
0
0
0
8
16
9
0
0
4
8
8
1
0
4
32
8
0
0
8
8
0
0
2
2
0
2
1
1
1
16
2
4
4
4
1
1
0
0
0
0
0
16
8
1
1
16
0
17
17
17
17
1
24
8
0
0
2
8
8
8
2
1
0
0
0
0
2
2
0
32
16
16
24
0
0
9
0
16
0
0
32
24
2
4
0
0
16
0
0
0
8
8
0
0
0
32
1
1
5
8
16
16
16
16
8
8
0
8
0
0
0
0
0
16
0
0
16
16
16
28
0
0
8
16
11
16
0
0
0
0
8
18
0
0
0
2
4
0
0
0
0
8
16
16
16
16
16
0
20
0
0
0
8
16
0
0
0
16
16
0
8
0
0
0
0
0
50
50
0
0
4
6
0
8
8
0
8
8
1
16
32
32
16
0
8
8
8
0
16
8
8
8
16
0
0
0
1
0
0
0
0
0
0
0
0
31
31
31
31
8
16
0
0
0
0
10
10
0
0
0
8
0
0
2
0
0
8
8
0
0
0
8
32
8
8
0
1
1
0
16
16
16
16
2
2
0
0
0
0
0
0
2
0
0
4
4
4
4
8
4
4
0
16
1
0
0
1
8
8
0
0
17
16
0
29
0
0
1
9
16
16
16
16
0
0
16
16
16
0
0
8
0
1
19
8
8
17
0
0
16
16
0
8
0
0
16
16
16
16
16
32
0
0
0
0
0
24
8
16
16
0
0
1
32
0
0
16
16
0
0
4
1
0
16
16
0
1
8
0
0
0
1
16
0
0
2
2
2
2
2
1
1
0
1
0
0
0
0
0
0
16
2
2
0
9
8
0
4
4
10
57
8
8
8
8
16
1
0
0
0
0
0
0
0
0
0
0
10
8
2
5
0
17
8
8
8
16
8
8
8
8
0
0
0
0
1
1
1
16
6
6
4
4
4
4
8
0
24
16
0
0
0
0
16
16
16
0
0
8
16
8
16
0
0
0
16
16
0
4
16
0
0
0
0
0
16
0
0
0
8
8
8
1
8
3
3
8
1
4
32
32
32
32
0
24
0
0
0
0
0
4
4
40
8
1
53
53
0
0
0
0
0
0
0
0
0
0
16
16
0
16
16
9
12
0
0
0
16
0
8
2
2
2
2
32
4
4
8
6
1
24
8
8
8
6
6
0
0
0
0
4
0
0
0
0
0
17
0
0
0
8
0
0
4
4
0
8
12
12
12
12
8
0
16
8
5
22
8
0
0
0
0
0
0
0
0
0
0
0
0
20
0
0
0
0
0
0
2
0
0
0
0
4
16
16
18
0
0
0
0
0
8
26
18
18
0
0
0
0
8
16
16
8
2
0
0
0
4
4
16
1
1
0
8
8
24
0
0
0
0
0
0
0
0
0
1
1
20
8
8
8
0
0
0
0
0
0
8
0
0
0
0
0
4
4
4
1
8
24
0
0
0
16
0
0
8
8
8
16
16
8
8
0
0
16
16
16
8
8
8
8
8
8
8
8
8
0
0
0
24
24
16
0
1
8
8
0
0
8
0
0
0
0
4
0
0
0
1
12
12
12
12
12
0
0
16
16
16
0
4
4
4
4
4
4
4
0
0
16
8
8
8
0
0
0
0
0
16
0
0
0
0
0
0
0
0
6
2
2
0
16
16
16
16
0
16
2
0
0
0
0
0
0
0
0
0
0
8
8
0
1
1
8
0
0
4
0
0
0
0
0
0
16
8
0
0
8
8
22
4
18
0
0
8
8
0
0
0
4
4
18
0
0
16
16
26
0
0
16
16
0
0
2
2
2
8
0
0
0
0
0
8
0
0
16
16
0
16
16
0
0
8
2
2
9
9
2
4
4
0
27
4
4
8
8
0
0
0
0
4
0
0
0
33
0
8
0
0
0
8
0
4
8
2
0
0
0
0
8
8
0
8
16
16
16
16
16
0
0
0
1
1
1
0
8
2
0
8
16
16
16
16
9
9
8
0
3
3
8
8
8
8
20
0
0
0
0
8
8
8
0
0
0
0
0
2
1
0
0
0
0
8
10
10
10
10
10
0
0
0
0
16
8
0
2
4
16
8
8
4
0
6
6
6
0
0
0
0
16
0
0
0
0
16
16
16
0
0
0
16
16
16
0
0
16
0
0
8
16
0
0
0
0
0
0
0
16
16
0
16
16
4
28
0
0
0
1
0
0
0
16
20
16
0
0
0
2
0
0
2
8
0
24
2
1
16
21
21
0
0
4
4
24
0
0
8
4
4
4
4
0
4
8
0
0
32
0
0
1
0
24
24
8
0
0
0
0
34
0
0
0
0
0
0
8
8
2
2
0
0
4
4
4
4
4
4
4
0
0
16
0
0
0
0
8
8
8
16
0
0
8
8
12
12
0
0
0
0
0
1
0
0
9
9
32
0
0
32
16
8
0
0
2
2
16
16
16
16
16
0
0
0
0
8
0
0
0
0
0
0
0
0
0
8
8
16
0
4
4
16
1
8
0
8
8
0
0
0
0
4
0
0
16
0
0
0
0
0
0
4
0
16
24
8
16
8
0
0
0
0
0
0
0
0
16
24
16
0
0
0
0
17
16
1
1
0
0
0
24
24
32
0
0
0
0
8
4
0
0
0
0
0
8
0
0
4
1
8
0
0
1
0
0
28
16
0
8
0
0
16
16
0
0
0
0
4
0
16
2
16
16
16
16
0
0
8
4
4
0
0
8
8
8
0
0
16
0
0
33
1
1
0
0
0
16
16
0
16
8
8
16
8
0
0
16
8
40
0
0
0
0
8
16
0
0
0
17
17
0
16
16
16
16
16
16
16
18
18
8
8
4
4
0
0
0
18
0
0
0
0
2
2
2
2
0
2
16
0
0
8
4
0
24
24
0
0
16
0
0
0
0
0
2
16
4
16
0
1
1
16
8
8
8
9
8
8
25
8
0
0
2
4
4
0
0
0
0
48
0
0
0
0
0
4
4
32
32
0
0
0
0
4
8
8
8
40
8
16
0
8
8
8
8
8
8
24
0
0
8
16
0
0
0
0
8
0
16
0
0
2
1
1
1
1
0
0
0
0
8
8
8
8
16
16
24
24
8
0
10
16
16
16
16
0
1
0
8
8
0
0
0
0
0
0
8
0
0
9
24
16
8
0
0
0
0
0
2
16
16
0
16
8
3
1
1
0
32
16
16
16
16
0
0
16
8
0
0
6
1
0
0
16
16
16
24
24
0
0
0
16
17
4
0
0
8
5
5
8
8
8
8
8
0
0
32
8
8
16
4
32
0
0
8
8
8
1
1
8
8
0
0
0
0
0
0
0
8
16
0
1
16
8
16
8
4
16
16
0
8
0
0
0
0
8
8
9
16
0
16
16
8
8
8
8
0
4
4
16
0
0
0
8
8
8
12
0
8
16
2
0
0
32
0
0
8
1
0
0
0
0
2
1
16
16
16
1
0
0
0
0
0
0
16
16
16
16
16
16
0
0
0
0
0
0
27
0
8
16
16
32
0
0
0
2
2
0
8
4
0
0
0
0
0
0
0
0
1
2
2
8
24
24
24
16
16
0
2
16
16
16
16
16
16
2
2
0
9
0
0
0
0
0
8
4
16
0
0
16
16
16
16
16
0
1
1
1
0
0
16
4
19
19
0
8
34
34
0
0
0
16
0
0
0
0
8
0
8
16
16
0
16
12
8
24
0
0
0
0
0
0
8
8
0
1
1
1
1
8
8
0
0
0
0
0
16
8
8
0
4
4
0
0
0
0
0
0
0
0
0
0
2
16
16
16
0
8
8
8
8
16
0
8
8
10
8
0
0
1
1
1
8
8
1
1
0
30
16
16
1
40
40
40
16
1
8
8
8
16
1
1
1
16
8
32
32
0
8
8
8
0
4
4
4
0
0
16
0
0
0
0
50
1
0
4
0
0
0
0
8
16
0
0
0
1
16
16
8
16
0
16
0
8
8
8
32
16
4
4
0
0
0
8
16
16
8
0
0
6
6
16
0
2
2
0
0
8
0
0
0
0
0
0
0
0
8
8
0
0
0
8
8
8
16
16
0
0
0
16
16
16
17
17
17
4
0
0
16
8
8
1
16
16
0
16
1
1
1
8
0
0
8
0
0
0
0
8
8
8
0
32
32
32
32
1
32
32
17
16
16
0
0
16
16
16
1
8
8
0
0
0
0
8
0
0
16
0
0
0
0
16
16
16
16
8
4
18
18
18
4
16
13
4
0
0
0
0
4
24
8
0
0
16
0
0
0
4
16
16
16
16
16
16
16
0
0
0
2
0
0
0
2
2
2
2
2
0
16
16
16
16
16
16
16
17
16
32
16
16
8
8
0
28
1
0
8
16
0
16
16
16
0
0
8
0
0
0
8
8
0
0
0
16
16
16
16
16
2
16
1
1
1
16
8
24
48
0
0
16
16
16
16
0
0
0
0
0
4
0
0
0
0
0
16
16
0
0
8
1
1
1
1
1
0
0
0
0
8
0
0
0
0
0
0
0
0
16
16
16
16
0
4
8
0
0
0
0
0
0
0
0
16
16
9
9
8
24
0
0
16
16
16
0
8
12
8
8
16
0
0
0
0
25
25
25
8
8
16
16
0
12
8
8
0
16
8
0
0
0
0
0
0
0
0
16
16
16
32
32
32
0
0
25
0
16
16
16
16
16
16
0
10
0
0
0
38
0
16
8
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
40
0
0
0
16
16
16
40
40
0
4
4
4
4
0
0
0
0
0
0
0
0
0
8
8
1
1
8
48
0
0
0
0
0
8
0
0
21
0
16
0
4
4
4
0
8
16
0
0
8
0
2
2
2
18
18
0
0
30
0
0
0
0
16
16
16
4
0
8
0
0
0
0
8
0
57
57
0
0
0
0
0
0
32
32
32
16
1
0
0
0
16
33
33
8
8
8
0
0
0
4
0
0
0
0
20
20
12
8
8
4
4
2
8
8
2
4
0
16
0
0
4
0
8
4
8
16
16
1
1
2
24
0
0
0
0
0
0
0
0
4
0
2
2
2
40
16
16
0
32
10
0
49
8
1
0
0
4
8
8
8
16
0
0
0
0
0
0
8
0
0
8
8
4
4
4
1
8
16
9
16
0
0
2
2
2
0
0
0
1
6
6
6
0
8
8
8
8
8
16
16
0
8
8
1
0
8
4
4
0
9
0
16
8
8
8
8
8
14
20
10
10
10
26
8
0
0
0
0
2
2
2
2
2
2
2
2
0
0
4
8
16
0
0
16
16
0
1
0
0
16
0
0
0
0
0
0
0
1
0
0
2
0
0
0
0
8
8
0
0
0
1
16
0
8
0
1
0
0
0
8
1
1
0
8
8
8
8
16
16
16
4
0
16
16
0
0
16
16
0
0
0
8
8
4
0
12
8
0
0
8
8
8
0
0
8
2
2
16
0
0
0
0
0
16
8
0
0
0
17
2
2
2
0
0
32
8
8
0
16
0
8
8
0
0
16
16
2
2
2
2
2
0
0
19
1
1
16
16
0
2
1
1
1
0
8
0
0
32
19
0
0
2
32
8
8
24
24
16
16
8
16
0
0
0
0
0
0
0
0
0
0
38
1
1
1
1
8
8
8
8
0
0
0
0
0
8
8
32
41
16
16
16
0
1
1
16
16
0
4
4
4
4
1
1
1
24
0
8
0
0
0
2
2
0
24
0
0
32
0
0
16
0
8
8
0
16
8
8
24
24
24
10
0
0
0
8
8
1
16
16
16
0
0
4
4
16
16
16
16
1
0
0
0
0
0
0
8
16
0
0
0
8
8
8
8
8
8
8
8
8
16
16
16
8
0
0
0
0
0
2
19
0
0
8
0
0
0
0
2
1
2
2
25
0
0
18
4
4
8
4
0
0
0
0
8
1
16
16
18
18
1
0
0
10
8
0
0
8
8
8
0
0
0
16
16
0
16
16
8
0
0
0
0
24
24
2
16
16
16
0
0
0
16
16
16
16
8
0
8
0
0
0
0
2
0
0
1
8
8
16
8
0
0
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
18
8
8
0
0
0
0
0
16
0
0
0
0
0
4
0
0
0
42
0
0
0
0
8
1
0
16
51
8
8
8
8
0
0
1
1
8
16
0
32
8
0
0
4
0
0
20
4
0
4
24
8
8
8
8
8
8
8
1
16
11
8
8
8
8
8
0
1
1
8
19
8
48
0
0
8
8
48
0
2
16
0
16
0
0
0
0
0
0
0
0
0
0
2
16
0
0
0
0
0
8
1
8
8
8
1
39
8
8
16
24
24
8
8
26
26
0
16
16
18
18
0
9
8
8
0
0
16
16
32
32
0
6
6
6
6
0
0
0
0
0
0
8
0
16
0
16
24
16
0
16
16
16
0
8
8
8
8
8
8
16
8
0
0
4
4
0
0
16
16
0
0
16
16
2
0
2
24
4
40
0
4
8
8
18
18
8
16
8
8
8
0
0
0
0
0
0
0
32
0
16
16
8
16
0
18
18
16
0
24
8
8
8
12
0
0
1
1
16
0
0
0
0
0
0
0
17
9
9
16
8
8
0
0
8
2
0
0
8
8
8
8
8
32
0
16
0
0
0
0
0
0
0
4
0
8
8
8
8
8
0
8
8
0
0
8
8
16
0
0
0
2
2
4
4
4
2
2
2
2
0
2
2
16
0
0
0
0
0
20
20
20
20
20
20
20
20
20
20
8
8
8
0
0
1
18
16
0
16
16
16
8
8
0
1
0
8
8
8
8
2
16
16
0
0
1
1
8
4
4
0
1
8
12
8
8
48
48
8
16
0
0
0
8
8
0
0
16
8
8
8
8
8
8
8
0
0
16
16
16
16
16
4
32
32
16
0
16
2
16
8
16
16
16
0
0
0
0
0
0
0
0
0
0
0
2
8
32
32
32
0
32
8
32
32
16
0
8
0
24
0
12
0
0
4
0
0
0
8
8
16
8
8
0
8
0
24
1
16
0
0
0
48
48
8
1
2
2
2
8
0
0
24
16
8
8
8
16
32
32
0
1
24
0
16
16
8
0
0
1
16
16
16
0
32
8
0
0
0
0
0
0
0
0
0
0
0
0
0
4
16
8
8
8
16
0
24
16
16
16
0
8
16
0
32
0
0
1
2
8
32
32
0
16
0
0
0
0
32
0
0
8
0
0
0
0
0
0
8
0
0
0
0
0
0
0
4
4
8
8
0
1
0
8
20
20
20
4
0
0
16
0
0
0
0
8
0
4
8
8
4
24
16
16
0
16
8
8
8
0
8
0
0
0
0
35
35
8
8
0
0
8
24
24
1
0
4
0
0
0
2
8
2
2
20
20
8
8
38
38
8
0
0
0
0
0
8
8
8
17
0
0
8
1
1
8
8
0
17
4
8
16
8
8
8
8
40
0
0
16
16
4
0
0
16
0
0
1
1
2
0
20
8
8
1
1
0
0
4
2
2
2
16
16
0
16
0
16
0
0
0
0
0
0
0
8
4
0
8
16
16
0
16
4
8
0
0
0
9
9
9
9
1
16
16
0
16
16
16
16
16
16
0
8
1
2
8
0
0
8
0
0
0
0
0
0
2
0
0
16
0
0
0
0
0
0
8
1
1
8
8
0
8
8
8
0
0
1
1
32
32
8
8
8
9
9
0
16
16
8
32
2
24
8
1
32
0
0
0
8
0
0
1
2
1
20
20
0
0
0
0
0
0
8
0
0
0
8
8
0
2
2
2
8
8
8
16
16
16
0
0
16
16
0
4
0
8
0
8
1
1
0
16
1
24
0
32
8
8
1
1
1
16
2
2
2
2
0
0
1
4
8
1
16
0
16
1
8
0
0
12
16
16
2
2
2
2
2
2
16
0
0
8
16
0
0
0
1
1
8
0
0
16
16
4
4
6
8
8
0
0
0
0
0
16
4
4
4
0
0
16
1
4
4
4
8
2
2
0
0
4
16
16
16
16
16
0
0
17
0
0
0
16
0
0
0
0
0
0
0
0
0
8
0
6
8
0
0
3
3
3
8
8
2
4
0
0
8
8
8
8
0
2
2
0
0
0
16
16
0
0
0
8
8
0
16
4
1
1
1
1
1
0
6
8
8
8
0
0
3
0
0
0
0
0
5
16
16
4
28
8
0
12
0
8
8
16
16
0
16
16
8
16
1
8
8
16
0
0
2
8
0
0
2
0
0
8
8
8
8
8
32
32
32
16
0
16
8
8
3
0
8
24
16
16
8
8
8
8
0
8
2
0
0
0
0
16
16
8
8
0
0
16
8
8
16
24
24
0
0
0
5
5
8
0
0
0
0
0
0
4
4
1
0
8
8
0
0
0
0
0
0
0
0
20
20
0
32
32
16
16
0
1
1
0
16
0
24
0
0
0
0
2
0
1
1
0
0
0
4
0
0
32
8
0
16
0
8
8
0
0
0
0
8
8
22
16
16
32
0
8
4
4
1
4
0
0
8
17
17
17
1
0
16
16
8
8
8
0
0
18
2
0
0
0
8
24
0
0
0
24
16
0
8
0
32
56
56
56
4
0
0
0
0
0
0
0
4
16
16
16
16
9
9
16
16
8
8
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
8
16
18
18
16
32
32
32
32
0
0
9
2
2
2
2
8
16
1
1
1
9
0
8
0
0
16
16
16
2
0
16
0
0
0
0
4
0
0
0
2
8
16
0
0
0
19
0
0
0
18
0
4
4
16
16
0
16
0
0
8
42
42
0
0
16
4
20
16
16
16
16
16
8
16
17
16
8
4
0
0
8
8
0
0
1
1
32
0
0
0
0
0
16
0
0
0
1
8
0
0
8
0
0
0
0
0
16
0
34
34
34
34
34
8
16
0
8
0
8
8
8
0
0
2
0
0
0
16
16
16
16
16
2
0
8
8
16
0
1
0
0
0
16
16
16
8
4
32
8
1
0
0
2
2
2
2
0
0
16
0
0
17
17
17
1
1
1
0
0
0
16
16
0
0
0
0
8
57
0
0
0
12
0
0
16
16
0
0
0
0
0
0
0
0
16
16
8
3
0
8
8
8
8
8
8
8
8
0
0
0
0
0
16
32
0
8
0
0
3
3
16
0
0
0
4
0
4
4
0
32
0
0
1
0
0
0
0
1
8
8
2
2
0
0
0
0
0
8
8
17
17
0
0
8
0
0
0
24
24
52
0
25
24
8
8
0
4
4
0
0
1
24
0
0
0
0
0
4
0
24
0
16
16
32
1
1
0
0
16
16
32
32
32
0
0
0
10
10
10
10
4
8
8
0
0
0
0
0
0
20
0
0
16
16
18
18
18
4
16
0
1
0
0
0
0
0
0
0
0
1
1
8
0
0
0
16
16
8
8
8
0
0
0
0
0
8
0
8
1
32
0
0
0
0
51
0
4
41
41
0
0
0
16
16
0
0
0
0
0
0
8
8
8
8
8
32
32
4
16
0
0
0
4
0
0
2
0
0
2
16
16
16
0
0
0
16
32
32
32
16
0
2
0
0
0
0
2
4
0
8
16
0
8
0
49
9
9
9
0
10
0
8
0
0
0
60
0
0
0
8
8
0
33
0
8
8
8
0
0
0
0
1
1
1
1
1
8
8
8
16
0
0
0
8
0
0
0
0
0
0
2
32
0
54
0
16
0
0
40
32
8
0
0
4
16
16
0
0
16
0
0
4
0
8
4
4
4
32
0
0
0
0
0
0
8
32
16
16
0
0
16
16
0
8
0
0
0
16
16
4
4
8
4
8
8
0
0
0
8
8
0
1
16
16
4
0
8
8
8
8
16
2
2
0
0
0
8
8
16
8
8
0
0
0
0
0
0
8
8
8
8
0
0
0
0
0
0
0
0
0
16
4
4
0
0
0
0
16
12
8
8
0
8
8
8
0
0
0
0
0
8
8
16
0
8
8
8
16
32
16
16
16
24
4
0
0
0
0
0
8
16
0
0
0
3
3
8
8
8
18
8
8
16
1
1
1
11
11
11
2
2
2
2
16
1
8
8
0
0
8
16
51
51
51
8
8
8
16
16
16
16
32
32
8
8
16
0
0
0
0
0
8
8
8
24
24
24
24
24
24
24
8
8
0
0
0
16
16
17
17
17
2
24
24
0
16
16
16
16
8
8
2
2
0
0
8
0
8
8
0
0
0
0
0
8
8
8
8
8
16
16
16
31
0
16
0
16
16
4
32
16
16
32
16
8
8
1
4
0
0
16
8
0
0
17
20
20
4
16
0
0
8
2
2
2
16
16
16
16
0
0
0
16
16
0
14
8
0
8
8
8
32
0
0
0
8
0
0
0
0
0
0
0
0
0
16
16
16
4
0
2
2
0
16
0
16
8
8
0
0
0
8
16
4
0
0
16
0
16
16
0
0
12
0
8
16
16
8
32
8
0
16
16
4
8
8
0
0
0
8
0
0
4
18
18
18
16
0
0
0
1
8
8
24
24
24
8
16
16
8
8
1
1
1
16
16
16
8
16
32
1
4
25
16
16
16
16
16
16
16
16
0
0
0
0
16
16
4
0
0
0
0
24
24
0
0
0
8
0
0
0
0
0
0
32
32
0
8
16
0
0
0
0
32
32
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
2
2
2
2
8
8
16
0
0
0
0
0
12
12
0
8
0
2
8
8
8
0
16
0
0
0
0
0
0
16
12
1
8
8
16
16
16
16
16
16
16
16
16
16
0
24
16
16
16
16
0
16
1
8
8
0
0
18
0
8
46
0
0
4
4
4
0
40
0
0
0
16
16
16
0
16
16
16
1
0
1
0
8
8
0
0
32
8
8
8
8
8
8
16
16
16
8
2
2
22
16
0
0
4
8
0
0
2
2
16
16
0
0
0
16
0
0
0
45
45
45
12
8
24
0
4
4
4
0
0
0
1
8
8
1
0
0
0
16
0
8
8
8
8
8
17
17
17
0
8
0
0
0
5
1
24
24
24
0
0
0
33
0
0
0
0
8
8
8
0
0
0
16
0
0
16
16
0
0
0
0
32
8
8
8
8
8
8
4
4
4
16
0
0
2
2
1
17
4
4
4
0
40
4
4
4
4
2
16
32
0
16
16
8
8
16
16
8
16
52
20
20
0
0
16
0
20
16
17
0
4
0
0
0
0
0
0
0
1
0
1
18
4
16
1
1
16
0
0
0
0
0
0
0
0
0
16
22
8
0
0
0
0
0
0
16
1
2
0
0
0
4
1
16
0
2
2
2
2
0
0
8
16
0
0
0
0
0
0
0
16
20
22
22
22
22
16
0
0
0
0
0
32
0
0
0
8
18
18
0
4
4
4
0
0
0
0
0
0
0
8
8
0
34
2
2
2
8
0
0
0
61
4
4
4
4
4
16
0
17
4
4
16
0
8
32
24
4
4
1
1
16
4
4
4
4
1
1
1
1
1
1
1
0
0
16
0
0
0
0
2
2
8
8
0
0
0
0
0
0
0
8
8
0
1
1
1
3
0
0
0
0
0
0
0
0
0
16
16
16
16
16
16
16
0
16
16
16
16
56
0
16
16
4
8
8
8
8
32
0
0
0
0
24
24
24
16
0
2
1
0
8
16
16
8
8
8
8
8
32
0
0
0
0
0
0
0
12
12
0
1
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
0
16
16
2
2
16
20
1
1
1
1
1
1
24
0
0
0
0
17
17
17
17
0
0
4
4
8
0
21
21
21
8
16
16
16
16
8
8
32
32
0
16
4
4
4
4
4
4
4
4
2
1
4
4
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
16
16
16
16
0
0
0
16
16
16
0
0
8
8
8
0
0
0
8
8
16
0
0
0
0
8
18
18
18
18
18
18
8
0
0
0
0
0
0
0
16
8
8
8
8
8
16
8
8
16
8
8
0
8
0
0
0
16
0
0
16
32
32
2
0
16
24
8
8
8
8
1
1
1
0
16
32
32
2
0
0
0
0
16
16
0
16
0
8
2
4
4
4
8
8
16
16
4
8
8
16
32
8
8
8
49
49
0
0
8
0
0
2
2
8
28
0
8
4
24
32
32
16
16
16
16
0
16
4
4
0
8
8
16
49
4
40
40
0
0
0
0
0
0
0
0
0
0
16
8
8
0
0
0
0
0
0
16
8
10
16
16
16
16
0
0
0
0
0
0
4
0
14
14
8
8
16
0
0
16
0
16
16
16
8
20
0
0
24
0
16
0
16
20
0
0
0
0
32
32
32
4
0
8
3
0
16
16
16
1
1
1
4
4
4
8
0
0
0
0
0
0
16
16
0
8
16
16
0
16
0
0
0
8
0
0
22
22
22
22
22
0
8
1
8
8
8
16
16
0
0
8
1
1
4
4
0
8
8
2
0
8
0
0
0
8
0
24
24
24
24
8
8
32
0
16
0
16
16
16
1
1
1
4
0
17
17
24
0
0
0
33
33
0
0
0
0
17
2
16
0
0
0
0
0
16
16
8
8
8
8
8
8
1
17
17
1
1
8
8
8
0
0
8
8
0
0
0
16
16
16
16
16
2
0
0
0
0
0
0
0
8
0
0
2
8
8
0
8
2
2
1
1
0
4
4
4
8
0
8
8
8
8
8
2
0
4
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
4
16
0
0
0
16
14
14
0
0
0
0
0
0
16
8
0
0
16
16
8
8
0
8
0
8
32
8
0
0
0
0
8
0
0
0
8
4
1
0
25
8
16
21
16
2
8
2
2
2
0
0
8
8
0
0
0
0
0
0
0
16
2
2
2
2
16
16
32
4
16
16
16
4
4
4
0
0
0
8
8
8
8
2
2
32
8
8
8
8
8
20
8
8
32
48
0
16
0
0
2
2
0
8
16
16
8
1
0
0
0
0
2
0
0
8
0
25
8
4
0
4
0
8
8
16
16
16
16
8
1
1
1
1
1
18
2
16
8
24
0
16
0
0
8
0
0
0
2
0
0
0
0
0
4
16
22
22
16
8
8
8
8
17
8
8
8
8
16
16
0
0
8
1
8
8
0
0
0
0
12
12
8
11
11
8
0
0
16
0
0
0
24
2
8
8
2
2
8
8
1
1
0
0
0
0
0
1
1
8
8
8
8
8
8
0
1
18
0
0
1
8
0
0
1
1
24
0
1
1
0
0
0
0
0
0
0
4
0
0
9
8
0
32
32
32
32
16
16
16
16
17
0
4
16
16
16
16
0
8
16
2
16
8
4
17
4
1
8
8
16
4
0
0
0
0
0
16
16
8
0
0
0
0
0
0
0
32
16
16
8
8
8
8
0
0
16
0
0
0
0
0
17
8
8
8
8
0
16
16
0
0
16
6
6
4
14
0
0
1
1
4
4
4
4
0
16
16
10
2
4
4
0
0
12
0
2
0
4
4
4
4
4
16
16
16
8
0
0
0
0
0
0
0
16
16
16
16
16
16
0
0
2
16
16
8
0
0
16
16
0
0
0
8
0
0
32
0
8
3
3
0
0
17
0
0
8
5
0
8
0
0
0
0
16
16
8
8
16
16
16
16
0
17
17
0
16
16
0
33
2
4
16
16
0
8
8
8
16
16
4
0
0
0
1
0
1
1
8
16
8
8
0
8
20
20
0
0
0
8
0
4
4
0
0
0
0
16
0
16
0
0
0
0
0
0
0
16
16
0
0
0
0
16
16
0
0
0
8
16
3
3
8
12
0
0
0
0
0
0
4
0
0
0
16
9
4
8
8
16
8
8
16
32
32
0
16
16
21
21
21
2
0
0
0
0
0
8
8
2
0
17
16
16
16
0
0
24
8
8
1
1
1
24
2
2
2
2
2
2
16
2
8
1
1
16
16
0
8
0
0
0
2
8
8
0
0
0
0
8
4
0
0
16
16
0
0
8
8
0
2
2
2
0
0
9
9
16
16
16
16
24
24
0
0
0
0
0
0
0
2
24
24
0
16
24
24
8
0
0
0
1
1
17
17
17
16
8
8
0
4
32
32
32
46
46
8
16
16
8
0
0
8
0
8
0
0
0
0
0
0
1
1
2
0
2
16
16
0
0
0
0
0
16
16
16
16
0
0
16
0
0
8
8
0
0
8
5
1
44
44
44
16
1
0
8
16
16
17
0
0
0
0
8
8
0
0
0
0
0
16
1
0
8
0
0
0
16
16
12
0
0
0
16
0
16
16
16
8
16
50
0
0
56
8
2
0
8
0
16
4
4
8
0
0
1
1
0
0
8
8
16
16
16
16
8
8
0
0
8
0
30
8
0
0
16
16
0
0
0
8
1
1
1
0
9
16
16
32
1
0
0
8
8
8
0
32
32
32
0
32
8
0
0
0
0
2
2
2
16
16
0
8
0
0
0
0
8
32
0
0
0
1
1
0
2
8
0
0
12
12
4
4
16
0
0
0
6
0
8
8
8
0
0
0
16
0
0
0
2
2
16
0
9
0
0
0
0
8
9
16
0
0
0
0
16
16
0
8
8
0
8
0
0
0
8
8
0
0
0
0
8
8
8
0
0
0
16
0
0
0
0
8
16
8
0
8
8
8
8
0
24
24
24
0
0
0
0
57
0
0
0
32
16
16
0
0
1
0
8
16
1
16
4
16
16
16
16
2
1
16
0
8
8
16
16
8
0
0
8
8
8
8
0
0
4
4
16
24
0
4
4
4
4
4
0
0
4
16
16
16
16
0
0
8
8
8
8
0
0
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
16
16
16
16
0
0
8
8
8
1
1
17
17
0
0
2
0
0
0
0
48
48
48
16
16
0
0
0
0
16
0
16
16
16
4
4
4
8
8
16
0
8
16
0
0
0
0
0
0
4
0
0
0
0
8
8
0
0
0
0
0
16
0
0
24
24
0
0
0
0
0
0
0
8
8
16
0
8
0
1
8
8
1
0
0
0
0
0
0
4
8
0
0
0
0
8
8
1
1
1
1
1
0
16
0
0
0
16
16
0
0
0
0
20
16
16
0
0
2
2
2
0
8
8
0
4
4
48
8
16
8
0
0
0
0
0
0
28
8
8
8
8
8
4
0
0
1
16
16
16
8
8
8
16
16
16
16
8
16
16
16
0
0
8
2
16
4
0
0
32
0
38
0
0
16
0
0
8
0
8
0
16
0
0
0
0
4
32
16
16
8
8
8
8
16
16
2
16
16
16
0
0
0
0
0
1
0
8
8
0
8
8
8
2
0
8
32
32
8
0
52
52
52
16
4
9
9
9
9
9
0
0
8
8
8
8
8
0
32
2
2
24
24
1
16
1
0
16
0
0
0
0
24
0
0
8
0
0
0
0
0
0
0
0
1
8
0
0
0
0
0
0
8
16
4
4
14
8
8
8
8
8
4
16
8
8
0
0
0
0
0
8
8
25
25
25
0
20
0
12
20
0
9
0
0
0
0
0
16
16
16
8
49
49
49
49
16
8
8
8
0
16
0
8
0
0
0
6
16
8
8
0
0
0
8
0
0
10
0
8
1
16
0
0
0
8
16
0
0
0
2
2
8
0
4
4
4
0
0
0
0
0
48
48
0
0
16
16
0
52
8
8
2
8
1
8
8
12
24
22
2
8
32
0
2
16
16
16
16
0
4
0
0
0
0
0
0
8
26
2
2
2
0
0
40
0
0
8
0
0
24
0
0
13
13
0
1
8
0
0
2
8
8
8
8
8
8
0
16
16
0
25
5
5
13
9
9
9
9
9
9
32
0
0
8
32
32
32
0
0
0
8
4
8
4
0
0
0
0
24
24
24
24
6
6
6
6
6
18
16
16
16
0
0
32
32
16
16
16
16
0
0
17
0
0
0
16
16
2
1
1
28
28
4
4
0
4
0
0
32
32
32
32
32
32
0
8
0
7
16
16
0
0
0
0
0
32
32
16
16
0
8
8
8
0
0
0
0
19
0
0
8
8
8
0
2
1
0
0
0
8
2
0
0
0
16
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
8
8
4
4
4
4
8
0
1
0
0
0
0
0
0
0
0
16
16
16
1
8
0
0
8
8
16
16
32
16
8
0
0
0
0
8
8
16
4
4
4
0
0
8
16
16
0
1
8
8
12
12
2
16
30
8
0
16
8
8
32
0
17
16
4
4
1
1
1
1
1
4
2
2
2
32
32
0
0
0
0
18
0
36
16
8
0
0
8
8
16
16
1
1
2
24
24
16
0
0
8
8
8
16
4
4
4
16
8
0
0
3
0
12
0
0
0
24
16
16
0
1
8
16
16
0
0
0
0
0
32
32
0
0
0
0
4
0
0
0
0
8
8
8
8
8
0
0
0
2
4
4
0
2
0
0
0
8
16
16
16
0
8
16
16
1
1
0
4
4
2
0
0
0
0
8
0
1
4
32
0
0
0
16
16
16
16
16
16
16
16
16
16
0
0
2
40
40
40
40
40
40
24
0
8
0
16
16
0
0
16
32
8
8
8
8
8
0
0
0
0
4
16
0
2
16
8
8
0
0
0
4
4
0
0
0
4
4
16
16
16
0
34
8
0
16
16
0
0
0
4
8
8
1
0
0
8
16
8
17
17
8
8
12
0
2
2
2
2
0
0
0
0
0
0
32
0
0
0
0
0
0
0
24
0
0
0
0
0
0
0
0
16
16
16
16
16
10
10
8
1
1
1
1
16
16
0
0
0
8
0
0
0
16
0
1
0
8
16
16
16
16
0
8
8
8
8
8
0
0
0
8
0
16
16
16
16
16
16
16
16
16
0
4
0
4
0
0
0
0
0
0
0
16
1
16
12
16
9
9
8
2
0
0
8
16
16
16
16
0
16
4
16
8
8
0
0
0
0
0
0
0
16
16
16
16
16
16
16
0
9
16
0
0
0
0
0
0
0
16
4
4
4
0
2
8
0
0
0
0
1
24
0
8
2
2
0
1
1
8
8
0
52
52
2
2
2
32
0
0
0
0
0
0
4
4
4
0
0
32
2
2
2
2
0
0
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
17
8
8
0
0
0
0
0
0
2
2
16
16
4
8
8
8
0
0
12
16
0
0
0
16
0
0
0
0
0
8
22
16
16
16
16
16
24
32
32
8
2
10
8
16
16
2
16
8
0
16
0
8
4
16
0
16
0
0
0
0
0
20
20
32
32
8
16
16
0
4
8
2
0
0
2
20
0
0
0
0
4
4
4
4
8
16
1
32
0
32
32
0
0
0
0
0
16
9
9
9
9
0
0
8
0
0
0
1
1
1
16
16
16
16
16
0
0
0
0
0
8
0
0
0
4
4
0
0
0
0
0
0
0
0
0
8
8
8
16
4
16
50
8
0
8
0
8
16
16
16
16
16
16
0
0
0
0
4
4
4
4
8
8
32
32
0
8
1
8
0
0
0
16
16
4
0
0
0
0
0
0
0
12
8
8
0
0
0
0
40
40
40
40
40
8
0
0
16
0
0
0
8
16
1
1
1
8
8
8
8
0
8
8
0
0
0
16
16
4
32
0
0
0
0
0
0
0
8
8
0
0
0
8
0
24
24
24
0
16
16
8
8
0
0
5
5
5
0
0
16
0
8
0
0
0
0
0
1
16
0
0
0
0
8
8
0
0
22
22
22
22
22
0
0
12
12
0
16
8
8
0
0
0
8
0
16
8
0
19
37
16
0
17
17
17
1
0
0
16
16
16
16
16
8
8
8
8
8
0
0
0
16
16
4
4
8
0
0
0
0
32
32
8
8
8
8
8
8
8
8
0
0
0
8
8
0
0
0
17
4
0
0
0
4
16
0
16
17
9
9
0
0
12
12
12
8
0
0
0
0
0
0
24
16
8
8
8
8
0
0
8
0
16
16
16
16
16
16
16
16
16
16
8
8
4
12
0
0
0
14
14
8
0
0
0
0
32
0
16
16
16
1
8
0
0
24
1
0
0
0
16
32
0
0
0
60
16
16
16
16
4
4
8
0
0
0
0
1
0
18
18
18
2
0
24
24
0
0
17
8
8
8
8
8
8
8
8
8
8
0
8
0
16
16
17
16
16
12
0
8
8
0
1
1
1
8
32
12
16
0
0
0
0
0
0
0
0
0
8
0
0
0
8
8
8
8
8
8
8
0
0
0
0
0
1
0
0
0
0
8
0
16
16
0
4
8
8
16
32
16
0
32
0
0
0
0
0
0
0
0
0
0
0
28
8
8
8
16
8
8
4
0
0
0
0
0
8
0
0
0
0
16
2
8
32
32
25
1
0
0
0
2
2
0
20
20
32
32
32
32
0
16
16
0
0
1
0
0
1
1
0
0
0
0
0
0
8
16
0
8
8
8
8
0
0
0
0
0
0
0
2
0
18
0
40
40
40
40
40
16
8
2
2
2
2
2
2
8
0
4
0
0
20
1
8
8
16
8
1
0
8
0
0
0
0
0
0
0
32
4
49
49
49
8
1
0
0
16
0
0
0
8
8
16
16
0
5
24
24
24
24
24
24
16
16
0
8
8
8
16
1
18
0
0
0
4
0
8
16
16
16
4
0
0
8
8
8
8
8
8
0
16
16
8
8
9
9
9
0
0
0
0
0
0
16
12
0
0
1
8
8
8
0
0
20
16
0
0
0
0
0
0
0
0
8
16
16
8
2
16
0
0
0
16
0
0
8
16
2
8
4
4
4
4
4
4
8
8
0
0
0
0
0
0
0
20
20
0
16
1
4
4
0
0
0
0
0
0
0
16
16
2
16
16
32
32
32
19
4
4
0
8
0
0
12
0
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
8
8
0
8
0
0
0
1
1
16
0
12
12
4
0
17
17
4
0
0
16
0
16
8
8
8
4
4
8
8
8
8
0
0
0
0
8
0
0
0
16
16
16
1
24
1
0
8
8
8
2
41
0
0
24
20
18
56
0
16
0
16
0
0
0
0
16
8
0
0
8
1
1
0
0
16
16
4
4
0
48
16
0
2
2
2
4
4
0
25
0
0
0
0
0
0
0
16
16
8
0
0
4
4
0
8
20
20
8
0
16
16
0
0
8
0
0
0
4
4
0
0
10
8
33
8
8
8
8
4
4
2
1
16
0
8
0
0
16
8
8
8
0
0
8
6
0
8
2
2
0
28
0
0
0
0
0
16
0
0
0
16
16
16
16
8
8
8
0
0
0
12
12
0
0
32
32
0
0
0
0
0
8
8
8
2
16
16
0
0
0
8
18
18
4
0
0
0
8
16
0
0
0
0
16
16
0
16
2
1
8
8
10
8
1
1
1
8
0
0
0
0
8
8
0
0
0
0
24
8
8
8
16
16
16
0
32
32
16
0
0
0
8
8
0
0
0
0
0
0
2
8
8
8
0
0
8
8
2
2
0
0
0
57
57
57
0
0
4
4
8
8
8
8
8
8
0
16
4
0
17
0
8
0
24
16
0
22
4
16
0
0
16
16
16
0
2
0
0
0
0
8
0
0
0
0
1
1
18
0
0
0
18
18
18
18
18
18
0
1
1
8
0
1
0
0
0
0
16
0
0
0
16
0
0
0
0
1
32
32
32
32
32
8
8
0
0
0
1
0
0
8
8
16
16
16
16
8
8
8
9
9
9
9
16
16
2
1
0
0
0
0
0
16
8
2
26
16
17
17
17
16
0
4
4
0
0
16
16
0
8
16
0
16
0
18
18
18
18
18
17
17
8
16
16
16
1
16
16
16
16
16
16
4
32
0
8
16
8
8
8
8
8
0
0
16
8
8
0
0
16
16
32
32
16
16
24
8
0
0
0
8
16
16
16
16
16
1
17
0
1
1
0
10
8
0
0
0
8
32
8
8
8
8
0
8
8
8
8
8
8
4
0
0
0
4
0
8
8
0
16
40
8
4
4
16
2
2
0
0
24
24
24
8
56
0
0
0
0
0
8
8
0
0
20
0
8
2
2
2
2
20
16
16
0
0
0
0
0
8
0
0
0
8
0
0
0
0
0
0
0
16
16
1
1
0
8
8
1
8
8
36
36
36
0
0
1
1
0
8
24
4
0
0
4
8
8
8
8
13
16
24
24
1
1
8
0
0
8
0
8
0
0
9
16
8
16
16
16
0
0
0
8
24
24
24
16
16
3
0
25
16
8
0
0
0
0
0
8
8
0
0
0
0
33
0
24
8
8
4
16
16
16
16
0
20
20
8
8
8
0
0
5
5
8
0
8
4
4
16
0
0
8
8
2
8
8
10
10
9
9
0
0
0
18
16
16
8
8
32
0
0
16
16
16
24
16
16
16
0
0
4
0
1
4
8
4
1
1
1
4
4
4
8
8
8
0
0
0
0
0
8
4
0
0
20
20
8
8
16
8
4
1
16
0
0
0
16
0
0
0
1
0
0
8
8
8
8
0
16
16
16
16
4
2
2
4
0
0
4
20
16
0
1
16
0
0
1
16
16
0
0
0
0
0
0
8
4
4
20
16
4
5
8
8
0
0
0
0
9
0
8
8
8
16
0
24
2
2
0
0
0
0
8
2
2
2
2
8
0
8
8
8
0
0
16
16
0
24
0
32
32
8
8
0
0
0
16
16
16
1
16
16
0
6
4
2
2
16
0
0
0
0
1
1
8
8
0
8
0
0
16
0
0
2
2
2
4
4
4
0
32
8
8
8
8
16
16
16
16
0
0
16
16
16
0
8
8
0
0
32
0
0
0
0
8
8
8
0
6
6
6
6
6
6
6
8
16
8
8
8
8
8
8
8
4
4
0
0
0
0
0
0
1
0
0
16
16
16
16
16
1
0
1
0
8
18
8
8
0
0
0
32
2
2
3
3
3
3
8
8
8
8
0
0
0
0
0
16
40
0
0
0
0
0
0
0
0
0
24
16
1
1
0
0
0
0
0
0
0
24
0
0
8
0
16
9
1
1
1
0
8
12
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
8
0
8
38
38
38
0
0
2
2
2
0
0
0
16
0
8
0
1
1
0
0
0
0
1
1
0
16
0
4
0
4
0
0
0
0
8
8
0
0
0
8
0
0
16
24
0
8
0
0
0
0
0
0
0
0
0
0
0
16
16
16
0
1
0
16
16
0
0
0
0
0
6
0
8
0
0
8
0
16
16
16
0
8
8
4
4
4
16
0
12
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
32
8
8
0
8
0
0
0
0
0
10
16
0
0
0
0
0
0
0
22
4
0
0
0
0
0
0
3
0
0
0
0
0
18
18
0
0
8
16
17
0
0
16
0
8
0
0
0
0
0
16
16
0
0
33
16
0
0
8
16
16
16
2
0
16
16
0
0
0
8
9
0
0
8
0
0
8
12
8
24
0
0
0
4
0
28
28
0
9
0
16
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
8
8
2
8
8
0
8
0
8
8
8
8
0
0
0
2
12
0
4
16
0
16
0
0
0
0
0
0
0
0
8
0
0
4
16
0
4
0
0
0
0
24
24
0
0
8
8
16
24
24
0
0
0
0
0
12
12
0
0
0
32
0
0
0
0
0
0
0
0
8
6
0
0
8
0
0
8
8
2
8
8
32
0
0
0
0
32
0
0
0
0
0
24
24
0
0
0
0
16
0
0
1
16
16
0
16
16
16
0
0
16
0
0
0
0
4
8
0
0
0
8
8
8
8
1
8
8
0
8
0
16
0
0
0
16
0
0
0
8
2
32
0
0
0
0
0
16
16
0
8
8
2
0
0
0
0
0
0
4
1
0
0
0
0
16
0
0
0
40
16
16
0
0
8
8
8
16
0
8
0
8
0
0
0
17
0
0
0
0
2
0
8
0
8
22
22
8
0
0
0
0
0
0
0
0
20
16
1
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
8
4
0
0
0
0
0
16
16
16
16
8
0
1
16
0
0
0
8
8
8
8
8
8
0
0
0
41
16
0
16
1
0
18
0
0
0
2
0
11
0
40
0
32
32
22
0
0
0
0
8
8
16
4
0
0
0
0
0
0
0
0
0
16
0
0
0
0
4
4
0
1
1
0
0
8
0
0
10
16
16
0
0
0
0
0
0
8
24
24
24
0
3
8
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
4
2
2
0
16
0
0
0
0
8
0
0
24
0
0
21
0
0
0
0
0
0
0
0
2
0
0
0
0
8
8
8
0
8
0
8
0
0
0
0
0
0
0
0
0
0
0
8
2
0
36
8
8
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
17
4
0
0
8
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
8
0
4
0
0
0
4
16
0
0
0
0
0
0
0
0
0
0
0
22
0
0
0
32
0
16
4
1
0
0
16
0
56
0
33
0
8
8
0
0
0
0
8
0
0
0
0
0
0
0
0
0
8
0
32
4
16
16
0
0
0
8
8
0
0
0
0
22
22
22
24
24
24
20
20
0
0
0
0
0
0
0
0
0
0
0
4
17
17
17
17
0
0
0
0
0
0
0
16
16
16
16
0
0
12
12
4
32
8
0
0
0
0
0
0
16
0
0
6
6
20
0
0
0
0
0
0
0
0
8
0
0
0
1
0
20
0
12
0
0
0
0
16
16
0
0
4
16
0
4
4
16
16
2
0
8
8
20
20
20
8
8
0
0
16
16
0
20
0
0
0
18
0
0
16
32
0
16
0
2
8
8
0
8
16
0
0
8
8
0
0
0
0
2
2
0
12
0
40
1
0
0
0
0
0
8
8
8
0
0
1
16
16
8
16
16
0
4
4
1
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
2
0
0
16
0
8
0
8
0
1
1
0
0
8
2
0
0
0
0
0
0
11
0
0
0
0
0
0
4
0
4
0
0
1
0
0
0
0
0
0
8
48
8
8
8
8
8
0
0
0
0
0
16
0
0
0
2
2
0
0
0
16
16
0
0
0
0
8
0
16
8
9
8
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
1
0
8
0
0
0
17
8
24
1
1
0
0
0
0
0
8
0
0
1
8
0
0
0
0
0
0
0
4
4
0
0
0
0
0
0
8
4
4
4
8
2
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
16
16
0
8
0
8
8
8
8
8
8
2
8
0
0
0
0
8
0
4
16
0
12
0
0
4
4
8
8
0
8
0
8
0
0
0
0
0
8
3
0
0
0
24
24
0
0
16
0
0
0
0
8
32
0
0
0
0
0
0
4
0
16
8
0
0
16
2
4
0
0
0
16
16
0
4
4
4
0
0
0
0
0
0
0
0
16
8
8
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
26
0
8
0
0
0
0
0
8
0
0
0
0
0
0
0
16
0
0
16
8
8
0
1
1
0
0
0
0
0
0
0
8
16
0
32
8
16
16
0
17
0
0
12
16
28
28
8
0
8
8
16
16
32
0
0
0
0
0
8
0
0
8
2
0
8
8
0
0
0
0
8
8
8
0
0
16
0
0
4
0
0
0
0
4
0
0
16
0
8
16
4
16
0
0
8
0
0
0
0
0
0
33
0
0
0
0
0
0
0
0
8
22
0
0
0
0
8
8
0
8
8
1
4
4
8
8
2
8
8
0
0
0
0
0
0
0
24
0
0
0
16
0
0
0
0
16
16
0
0
0
1
1
1
1
0
0
0
8
16
0
0
16
0
0
0
0
8
0
16
16
4
0
2
0
0
3
3
16
0
0
0
0
0
0
0
0
20
0
0
0
20
0
0
21
0
0
60
0
30
8
8
0
0
0
0
4
0
16
0
16
0
0
0
0
0
0
0
0
0
8
8
8
8
0
0
0
16
0
0
0
13
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
8
0
0
16
16
0
8
0
8
4
0
0
18
2
6
0
0
5
1
0
0
0
0
8
0
32
4
0
16
16
16
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
8
8
2
0
0
0
0
0
0
0
0
0
0
0
24
0
0
16
33
0
0
8
8
0
0
0
0
0
16
0
0
0
0
8
8
0
0
0
16
4
4
4
2
8
0
8
8
16
10
8
33
8
0
0
0
0
16
8
8
0
16
16
0
0
0
0
0
0
0
20
4
2
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
12
9
0
16
16
16
16
1
5
0
8
0
0
0
16
0
0
0
0
0
0
0
0
0
0
17
1
0
0
0
0
0
0
4
4
0
0
0
8
0
0
0
0
16
0
24
24
24
24
24
0
0
0
0
0
0
25
0
0
8
8
8
1
1
1
0
0
0
0
1
0
0
0
0
0
0
0
16
0
0
0
0
0
0
2
8
0
0
0
0
0
0
4
4
0
8
8
8
8
4
0
0
0
0
0
0
0
8
8
0
0
4
0
0
0
0
0
0
0
0
16
6
24
8
8
8
8
24
0
0
16
0
0
8
0
0
0
0
1
0
0
8
17
0
0
8
0
0
16
0
0
0
0
0
16
2
16
1
16
0
10
8
0
0
10
24
0
0
0
4
16
0
0
1
0
0
0
0
0
4
4
0
0
0
0
0
0
0
7
7
8
8
0
0
0
0
8
16
16
4
0
2
0
16
16
0
58
0
0
0
16
16
2
0
0
0
0
0
16
16
0
1
1
1
0
0
0
8
0
32
32
0
18
0
0
24
0
0
0
0
0
0
26
26
42
0
16
8
8
16
16
0
0
0
0
0
0
0
8
2
2
16
0
16
16
0
4
4
0
0
0
0
0
0
0
0
1
0
24
24
8
8
0
4
0
24
16
16
16
0
8
0
0
8
8
0
0
0
0
0
8
8
0
16
16
0
4
0
0
0
0
43
0
0
0
24
24
0
8
1
8
4
0
0
0
0
0
1
1
1
0
4
32
32
0
0
0
0
0
0
8
0
0
8
0
0
0
0
0
8
8
8
0
0
21
0
0
0
0
0
2
4
0
0
0
8
8
8
0
0
0
0
0
0
0
0
25
8
0
0
16
8
16
0
0
0
3
8
0
0
0
0
0
0
32
0
8
0
0
0
0
16
0
0
16
16
0
0
16
16
12
8
0
8
0
8
32
20
16
0
0
8
16
16
0
0
0
23
0
8
0
0
28
0
0
0
0
8
24
24
0
0
0
0
0
2
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
8
0
0
0
8
0
0
0
16
16
0
0
0
0
24
24
24
2
16
16
0
0
0
1
8
2
2
0
0
0
0
16
0
0
54
0
1
0
40
0
0
0
0
0
0
0
0
0
0
0
0
12
24
0
16
0
0
0
0
0
0
8
8
0
0
16
16
0
0
0
28
0
0
8
8
8
8
0
0
24
0
0
8
8
0
4
8
0
0
0
20
0
0
0
0
0
1
16
16
8
0
4
12
8
16
8
20
12
0
0
0
0
8
0
0
0
24
0
0
0
0
0
0
0
0
4
16
0
20
0
0
7
0
0
0
0
8
16
8
16
4
0
0
0
4
4
26
26
26
16
0
0
8
8
2
0
0
0
0
0
4
4
1
0
0
16
0
0
0
0
0
16
16
0
0
8
4
8
8
4
0
0
0
0
24
8
0
0
0
0
8
0
0
24
0
16
0
16
0
0
0
0
0
18
18
4
0
16
16
0
0
0
2
0
0
0
0
0
0
0
1
0
0
0
0
2
1
0
25
0
0
0
0
0
16
0
0
0
0
0
0
8
16
16
0
0
0
0
24
0
0
0
0
0
0
0
0
0
16
0
16
2
32
0
0
0
8
8
8
0
2
0
16
16
0
40
0
0
4
4
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
0
48
0
0
0
0
0
0
0
0
0
0
8
0
0
1
1
1
8
0
0
4
0
0
0
0
8
8
16
8
0
0
0
0
8
0
0
0
16
0
0
0
0
8
8
0
0
0
0
0
0
8
0
8
0
0
0
0
0
0
8
0
0
4
10
10
4
0
12
0
0
0
0
8
0
0
0
4
0
0
0
0
0
0
16
0
0
0
0
0
0
0
8
16
0
0
16
8
24
0
0
0
16
8
0
1
0
0
0
0
0
0
0
0
0
0
0
8
0
8
8
8
4
16
2
21
0
4
4
0
0
0
0
0
0
8
0
16
16
0
8
0
8
8
8
8
1
0
0
8
0
0
0
0
0
0
0
0
16
0
16
4
16
16
0
0
0
32
0
0
0
0
0
0
0
0
0
0
0
0
0
20
20
20
20
8
8
8
0
16
0
6
0
0
16
0
0
0
0
8
17
4
0
0
12
8
8
8
8
8
0
0
0
0
0
0
1
0
0
8
2
0
0
16
2
20
0
0
0
0
0
0
0
0
0
0
0
0
0
9
16
0
0
8
0
1
0
0
8
0
8
0
0
0
8
24
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
16
16
0
0
8
0
0
0
0
0
0
0
16
0
0
0
0
8
0
16
16
16
16
0
0
0
0
0
2
8
8
4
0
9
0
0
0
0
8
8
8
0
8
8
0
0
0
0
0
16
0
8
0
0
0
0
0
0
0
0
0
0
8
0
8
0
0
0
8
10
8
8
8
16
16
0
0
0
0
0
0
37
0
0
0
20
0
0
16
0
0
8
8
0
8
8
8
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
20
0
8
8
8
8
56
0
0
0
1
0
0
0
0
4
8
0
0
8
0
0
3
8
0
0
0
1
0
8
8
0
0
0
0
0
0
0
8
8
1
1
0
6
10
0
0
1
2
0
0
0
0
0
28
0
0
4
2
0
8
8
0
8
0
0
16
6
8
0
0
0
0
1
0
16
0
0
0
0
0
8
8
0
0
0
0
8
1
0
16
16
0
0
0
0
0
0
8
0
12
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
21
21
16
16
16
16
16
0
0
8
0
1
16
16
0
4
4
4
0
8
8
16
16
2
0
0
8
4
0
0
0
32
32
0
0
1
1
1
0
0
8
0
0
0
0
8
0
0
0
2
2
4
0
0
0
0
0
0
0
0
0
0
24
24
0
0
0
0
0
0
1
0
0
18
4
0
0
0
16
8
8
0
16
16
0
16
0
0
8
16
17
0
0
0
0
0
16
8
8
4
8
0
0
0
1
0
0
0
0
0
16
0
0
0
8
0
0
16
8
0
0
0
16
8
8
8
8
0
0
0
0
8
0
0
0
0
0
0
0
2
0
0
0
0
8
2
2
0
8
4
0
8
8
0
0
0
0
8
8
0
8
8
0
18
0
0
0
8
0
0
16
0
0
0
4
0
0
0
0
0
0
6
6
16
8
0
0
12
8
49
49
0
0
0
16
0
18
18
0
0
0
0
0
8
16
0
8
41
41
0
0
0
0
16
0
0
32
16
0
0
0
0
0
0
0
8
0
16
16
0
18
0
0
0
0
0
0
0
0
0
4
0
0
8
16
4
0
8
16
0
8
0
0
1
0
4
4
0
8
0
1
16
1
1
8
0
0
0
0
0
0
0
0
4
0
4
0
0
16
8
0
0
0
8
0
16
16
0
0
0
0
4
0
48
48
4
4
8
24
20
20
0
36
8
0
0
16
0
16
0
0
0
0
0
8
0
0
0
32
0
0
0
26
0
0
0
8
0
0
0
0
0
8
8
0
0
0
16
0
0
0
0
0
0
0
24
0
0
16
0
0
0
16
8
0
12
2
4
0
16
16
0
20
0
0
6
6
0
0
0
0
0
9
0
0
0
0
8
8
8
8
0
0
7
16
16
0
0
0
0
0
20
16
0
0
8
8
0
0
0
0
0
0
8
8
8
8
0
0
0
0
0
4
0
24
0
10
0
0
0
0
3
8
0
21
17
0
4
1
8
16
0
16
16
16
0
0
8
0
0
0
0
8
0
8
4
4
0
0
0
0
0
2
0
16
4
1
16
16
8
8
8
1
24
0
0
0
0
0
0
16
8
0
0
0
0
48
8
8
16
0
0
0
0
8
8
0
0
0
0
1
0
0
8
0
0
0
0
0
2
2
0
8
0
16
0
4
6
8
0
0
0
8
0
0
16
0
16
0
0
0
0
0
16
0
1
0
0
0
0
0
0
0
0
0
18
2
8
0
5
0
0
0
0
8
8
16
0
1
17
1
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
8
2
2
0
0
0
0
16
16
16
0
0
0
0
0
0
8
0
8
0
8
8
8
8
16
4
0
8
8
8
0
0
2
4
4
0
0
8
16
0
0
0
16
16
8
0
0
2
0
0
0
0
0
0
0
0
0
16
4
17
4
8
8
4
4
4
4
0
0
2
0
8
8
0
0
0
0
16
16
8
8
0
0
0
0
0
0
0
0
0
24
32
32
0
8
8
16
16
0
8
0
0
0
0
0
16
16
16
16
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
8
8
8
0
0
8
8
0
0
0
0
8
8
0
0
0
4
4
16
16
0
0
0
0
8
0
0
0
0
0
0
0
17
17
17
0
16
0
0
0
0
8
0
8
0
0
8
8
0
8
40
0
1
1
0
0
32
8
0
8
0
12
0
0
0
0
9
0
0
8
16
10
0
0
0
8
8
8
8
0
48
0
4
0
0
0
56
0
4
8
0
16
16
16
16
16
16
0
20
24
8
8
8
8
8
0
2
16
8
0
0
0
0
8
4
16
2
0
8
0
32
32
0
0
0
0
0
0
8
0
8
8
0
0
4
4
0
16
0
0
0
0
0
0
0
0
0
0
8
8
16
0
8
8
0
0
0
0
16
16
12
0
0
8
8
16
0
8
0
0
0
0
0
0
1
50
50
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
40
40
25
3
3
3
3
3
3
8
0
8
4
0
0
0
1
8
18
16
24
0
10
24
0
0
0
8
0
16
0
0
1
0
0
8
0
32
0
2
20
20
0
0
0
0
1
24
16
16
0
16
0
0
0
0
0
0
0
0
48
0
8
0
0
0
0
0
8
8
0
1
0
0
8
0
8
8
8
0
8
8
8
8
0
0
0
0
0
0
0
8
0
8
4
4
16
0
0
0
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
4
0
0
0
0
0
4
8
0
0
24
16
16
16
0
0
0
4
4
0
0
0
0
40
16
16
16
16
16
0
0
0
0
16
8
0
0
0
0
0
0
0
0
8
0
0
4
4
4
4
24
0
8
8
0
16
48
0
0
8
8
0
0
24
24
0
0
0
0
0
0
0
24
0
24
24
24
16
0
9
8
0
0
0
8
4
0
9
16
16
0
0
0
0
0
8
0
0
8
8
0
2
0
0
4
0
0
8
0
2
0
0
0
0
16
16
0
2
0
0
0
8
0
0
8
0
0
1
0
0
32
0
0
0
2
2
2
16
0
8
8
8
2
4
4
4
0
0
0
0
0
0
16
26
26
8
8
8
8
0
0
21
0
0
8
0
0
0
16
16
0
0
8
8
4
16
0
20
20
2
8
8
8
8
8
8
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
8
44
16
1
0
0
0
0
8
8
0
0
4
2
8
0
0
0
0
0
0
0
8
8
0
16
8
0
0
4
0
0
0
0
4
0
0
0
12
12
0
0
0
16
0
16
16
16
16
0
0
16
0
0
0
8
0
0
8
9
9
16
0
0
32
1
1
0
0
0
0
0
0
16
0
28
0
8
8
0
0
0
8
0
0
0
8
16
0
0
0
0
0
8
0
0
0
0
0
0
16
16
16
16
16
16
16
0
8
16
25
25
0
0
0
0
25
16
8
0
0
0
0
0
0
8
8
0
8
8
0
0
0
16
8
0
0
16
16
0
16
8
0
16
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
16
8
2
2
13
0
16
16
28
28
28
16
24
24
0
0
32
16
20
0
0
0
0
8
0
0
0
0
8
0
1
12
0
0
0
0
0
0
0
0
0
0
8
0
0
0
8
0
8
0
4
8
0
4
0
0
0
8
0
0
0
0
0
8
8
8
2
2
0
0
0
2
2
17
0
8
0
0
4
0
0
8
0
8
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
8
11
0
0
0
0
0
8
16
0
0
0
8
8
8
0
0
0
16
0
0
8
0
0
0
0
4
0
8
1
8
8
0
0
8
8
0
0
0
0
0
4
8
2
16
8
8
4
0
0
0
16
8
0
16
16
16
0
0
0
0
0
0
2
0
0
0
16
16
0
8
8
8
8
8
8
0
0
8
8
0
0
8
8
0
0
0
0
35
0
0
16
0
0
0
1
4
4
4
4
0
0
16
16
5
16
0
0
8
0
0
2
8
8
0
0
0
2
4
0
0
0
16
16
0
0
24
4
0
0
0
0
16
0
4
4
4
0
8
0
32
32
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
26
26
0
0
16
0
0
0
0
8
8
0
0
0
32
0
0
18
8
0
8
4
0
0
0
0
0
4
0
0
8
0
0
0
0
0
8
8
6
12
0
0
0
0
1
1
0
0
0
1
1
0
1
8
0
0
24
24
0
0
0
0
0
8
0
2
0
0
8
2
2
2
16
16
16
16
0
8
8
16
0
0
8
0
0
1
0
4
2
2
0
8
4
0
8
0
0
0
0
24
8
0
16
16
0
0
0
0
0
0
16
16
0
4
4
0
0
0
0
0
19
0
0
0
8
0
0
0
0
0
0
0
0
2
2
8
8
1
26
8
8
8
8
8
8
8
0
24
4
4
0
0
0
0
0
0
8
16
16
0
0
0
4
0
8
0
0
8
8
0
8
8
0
0
0
4
0
0
8
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
16
0
8
0
8
8
0
0
0
2
0
0
0
1
0
0
16
0
0
0
1
0
34
34
0
0
0
0
0
0
0
0
8
0
8
0
2
2
24
24
0
0
0
0
0
12
4
4
0
24
0
0
0
8
8
0
0
16
1
18
0
0
0
0
1
0
0
0
0
10
0
1
1
0
0
0
0
0
0
16
8
8
0
0
0
0
0
0
24
16
0
0
16
16
0
2
1
8
8
8
8
8
0
0
8
8
12
0
0
0
0
0
0
0
0
4
4
0
8
0
1
0
17
16
16
0
0
0
0
0
0
16
16
0
8
0
0
27
8
0
2
20
0
0
0
0
0
0
24
16
0
8
16
8
8
0
8
0
0
0
0
0
3
0
8
8
16
0
0
0
0
0
0
8
8
0
16
8
8
6
6
0
2
0
4
6
6
4
4
0
0
0
0
1
12
0
0
0
1
1
12
8
0
0
0
0
0
1
16
2
0
0
8
2
0
0
0
0
0
8
8
8
0
0
2
16
0
0
0
0
0
0
0
8
8
2
2
2
16
17
17
14
14
8
8
8
8
8
0
0
0
20
16
0
0
0
0
0
0
0
8
0
0
2
0
16
0
16
0
16
16
16
0
0
0
0
8
8
8
0
0
0
0
16
0
0
0
0
4
0
0
8
8
8
0
0
0
0
16
8
16
0
0
16
0
16
16
16
0
0
24
0
0
0
0
16
0
16
45
0
0
22
22
0
10
2
4
2
2
0
16
0
0
0
0
10
0
16
6
8
0
16
2
0
0
8
16
24
24
0
0
0
0
17
8
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
16
16
0
0
0
0
0
0
0
0
0
4
0
8
1
0
0
4
41
8
0
1
1
0
8
0
0
24
8
8
8
32
8
8
0
0
0
0
0
0
0
9
9
0
0
0
0
0
0
8
0
0
16
0
0
0
0
0
16
2
0
8
0
4
0
8
8
1
0
0
0
0
0
4
0
0
0
0
0
24
24
16
12
0
1
0
4
4
0
0
4
4
4
8
16
16
0
16
0
16
16
16
0
0
0
0
16
0
16
0
8
0
8
8
34
16
16
16
0
0
8
0
1
8
12
0
0
12
12
12
0
0
0
0
8
0
12
12
24
0
0
8
0
1
8
0
0
0
0
0
0
8
8
8
0
0
8
0
0
4
0
0
0
8
2
0
8
0
16
0
20
0
20
20
17
0
0
0
0
0
0
40
0
0
16
16
16
16
16
0
0
0
4
16
16
16
8
32
20
20
20
20
20
0
0
0
8
8
8
8
0
8
4
0
0
16
0
0
2
16
0
0
24
2
0
0
0
0
16
16
8
8
8
0
0
0
0
0
0
16
16
0
0
0
0
1
0
8
0
32
32
32
32
16
0
16
0
1
8
8
8
8
8
8
8
8
8
0
8
0
8
0
0
14
16
0
0
4
16
16
0
0
2
8
4
8
8
8
0
0
0
16
0
0
24
24
24
24
0
0
16
0
0
0
0
0
0
0
1
1
1
1
0
16
32
32
0
16
16
4
26
10
1
1
8
2
1
0
0
1
1
0
0
32
32
0
0
0
0
0
4
6
16
0
0
8
8
16
16
16
8
8
0
0
0
0
0
8
8
16
4
4
0
0
0
24
16
0
0
0
0
16
4
4
0
0
56
0
0
16
8
0
16
0
8
1
8
0
0
4
4
2
16
1
0
0
0
24
8
8
0
8
8
8
0
0
0
0
0
0
0
25
0
0
0
0
4
1
1
16
4
32
16
16
0
0
0
0
0
0
0
8
8
8
8
1
1
0
0
16
0
16
8
8
0
0
16
16
8
0
0
16
16
0
0
8
0
2
0
16
16
0
8
0
48
20
8
8
8
16
16
16
16
16
8
4
1
8
8
8
1
16
1
8
0
16
16
0
40
0
0
0
16
32
32
2
1
0
0
17
0
0
0
1
8
0
2
2
8
8
0
0
0
16
0
2
2
0
0
4
8
16
0
3
3
3
3
3
3
3
3
3
3
3
0
0
0
0
52
8
8
0
2
24
9
12
12
12
12
2
4
8
8
0
8
0
20
20
0
0
0
0
0
0
16
0
0
0
16
0
0
0
0
8
16
9
2
16
8
16
16
8
0
0
20
20
8
8
8
2
16
24
0
0
0
8
0
0
0
0
0
6
6
6
0
0
0
16
16
40
2
2
0
0
0
0
0
0
0
0
16
16
16
2
0
0
0
4
0
0
0
16
16
16
0
16
16
0
0
0
16
16
16
16
0
8
8
0
4
20
20
20
20
20
24
0
0
0
32
9
16
0
0
0
0
0
0
0
0
2
6
0
16
16
16
16
16
16
0
0
4
0
0
4
8
8
0
8
0
0
8
8
8
8
0
10
0
0
0
2
2
0
0
1
0
4
16
16
0
32
0
0
0
8
16
0
8
8
8
0
0
0
8
0
0
32
8
0
0
0
0
0
8
0
0
0
8
12
12
12
8
8
8
16
16
16
8
10
0
8
8
8
8
8
8
4
16
0
0
8
8
8
4
4
0
8
1
1
0
37
17
16
16
20
16
1
1
8
8
8
8
5
5
0
0
0
16
16
0
0
0
0
1
4
8
32
32
32
32
32
32
8
20
0
0
0
18
0
0
8
8
10
24
0
1
0
5
5
0
32
2
0
0
16
0
1
1
1
1
0
0
24
0
2
2
8
19
19
0
0
0
8
8
8
0
8
0
0
0
0
16
16
16
16
0
0
16
16
0
16
4
17
0
0
16
0
0
0
0
0
0
0
8
0
0
32
32
0
0
0
25
2
16
16
0
0
8
2
2
0
2
2
2
2
16
0
8
0
2
16
16
4
4
4
0
0
0
0
1
1
1
1
0
2
8
8
0
12
0
16
16
0
0
0
0
0
0
0
6
0
8
16
8
8
0
0
0
8
8
20
20
8
27
4
4
0
0
0
0
0
0
16
0
49
0
0
0
1
16
0
0
0
8
8
1
1
0
0
20
20
20
0
0
0
0
6
16
8
8
0
0
0
0
0
2
8
0
2
0
0
0
0
0
0
0
4
0
0
16
28
28
28
28
8
0
0
0
0
0
8
17
0
0
4
16
8
8
8
11
0
8
0
0
0
0
0
0
0
18
18
0
9
0
0
0
0
0
8
8
16
1
0
0
3
0
0
0
0
0
32
32
0
0
1
8
0
0
0
0
16
8
8
0
0
0
0
16
16
16
16
16
16
16
16
16
16
0
0
0
0
8
8
16
16
16
16
17
8
0
0
0
0
0
0
16
4
16
16
24
24
0
0
0
0
0
32
8
4
4
48
8
16
16
8
16
0
0
0
12
8
0
2
2
2
2
2
2
8
8
0
0
0
0
16
16
16
3
2
2
8
8
8
8
8
16
16
16
0
0
0
2
18
18
16
0
16
0
0
32
32
0
0
0
0
0
8
8
0
0
0
0
8
8
32
16
4
0
0
0
0
16
4
0
16
16
0
0
8
0
0
8
8
8
0
0
0
0
0
0
0
0
16
16
16
0
0
0
0
0
8
6
2
2
2
8
8
8
0
2
0
0
0
0
0
0
8
0
0
8
0
8
8
8
16
0
0
0
1
8
0
2
2
2
12
8
0
0
16
0
0
16
8
8
8
57
16
0
8
0
0
0
0
1
0
0
1
8
0
0
20
0
2
0
8
8
8
8
16
33
33
33
16
2
24
16
16
0
0
0
0
0
16
2
9
9
0
48
18
0
8
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
24
24
24
24
0
8
8
8
1
24
2
8
0
16
16
2
0
0
0
0
0
0
0
1
1
0
2
8
0
17
1
8
8
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
0
0
16
0
0
0
0
8
0
4
8
8
8
0
8
8
8
0
8
0
8
4
0
4
16
4
0
8
4
0
0
2
4
0
8
0
24
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
16
4
0
32
32
0
0
0
0
8
0
0
8
8
8
8
8
8
8
0
0
0
0
0
0
0
0
24
24
1
10
0
0
0
0
0
16
0
17
17
0
8
8
8
16
33
33
33
1
1
1
1
4
16
8
4
4
8
8
0
16
0
0
0
0
0
0
0
8
8
0
8
8
8
0
0
0
16
4
16
16
16
16
16
0
8
8
8
2
4
8
8
8
16
16
0
0
8
0
0
2
2
2
2
2
2
2
2
2
2
0
0
0
0
0
0
0
16
0
0
0
16
16
16
16
16
16
0
0
0
0
2
20
10
10
0
0
0
16
1
8
16
0
0
21
24
24
4
0
16
12
8
2
0
0
16
16
8
28
8
2
16
16
8
16
16
4
3
3
3
3
1
17
0
0
0
1
1
32
8
16
16
8
0
8
8
8
8
8
32
32
32
32
16
0
0
0
0
0
8
0
0
0
0
8
0
0
4
20
20
16
8
8
8
8
1
1
1
1
1
8
8
8
8
8
8
16
16
0
0
0
0
0
0
0
8
32
8
8
16
0
0
8
16
0
0
16
8
8
8
8
16
8
8
0
0
0
0
0
16
8
0
0
0
16
0
0
0
32
32
4
4
8
0
0
0
0
8
16
16
8
16
8
16
16
8
8
0
8
0
0
8
0
4
4
4
16
26
0
3
3
3
3
0
0
0
42
16
16
8
4
4
4
0
0
0
0
0
16
16
0
16
16
0
16
0
8
16
16
0
4
4
0
16
0
16
16
16
16
0
0
0
0
0
16
8
8
0
0
0
0
0
0
0
24
0
0
28
28
28
28
28
8
0
4
8
8
8
8
0
0
8
0
2
16
16
4
4
4
4
8
4
4
0
0
8
0
0
0
0
0
0
0
0
0
0
2
2
2
16
48
0
8
0
0
0
0
4
4
4
4
4
4
4
4
4
0
0
8
0
0
0
0
0
16
0
16
0
0
8
8
0
32
0
0
0
1
32
0
0
0
16
0
0
0
16
16
0
8
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
2
2
2
8
0
8
0
0
0
0
0
0
0
4
33
0
0
8
16
2
8
0
0
0
8
8
1
8
2
2
2
0
8
8
8
8
0
0
4
4
4
0
4
0
0
0
16
0
32
32
8
13
0
0
16
16
8
20
0
0
27
18
0
0
0
0
0
8
4
0
1
1
0
0
0
0
0
24
8
4
8
8
8
8
5
5
5
2
0
0
16
2
24
1
1
1
1
0
0
0
0
0
8
8
0
0
8
8
8
8
0
15
15
0
48
0
0
0
0
0
0
2
2
2
2
8
8
0
1
1
0
0
8
6
6
8
8
8
8
8
8
4
4
16
26
26
0
0
1
8
16
8
8
8
8
8
0
0
16
16
4
0
8
0
2
2
0
40
16
8
0
0
16
32
1
16
0
8
8
48
48
48
48
0
32
17
8
4
4
4
4
0
0
8
24
24
0
16
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
16
16
16
9
4
7
0
0
0
8
16
17
0
0
0
0
0
0
20
8
0
8
0
16
16
16
0
0
0
0
0
0
0
0
0
0
6
6
8
0
4
0
4
4
2
2
0
1
0
8
0
0
0
0
0
0
2
2
2
2
0
0
0
0
0
0
8
16
12
0
24
24
0
0
0
0
0
17
0
0
16
8
8
8
0
0
0
0
4
0
0
8
8
0
0
1
0
0
8
2
8
8
8
8
1
1
1
1
1
1
16
16
16
16
16
4
0
0
0
0
13
16
0
0
0
0
16
16
17
17
17
8
8
0
16
0
8
8
8
8
4
0
0
2
0
0
0
0
0
0
0
0
0
0
2
0
0
0
4
16
0
8
8
8
4
0
0
0
4
8
0
26
8
8
8
8
0
16
16
0
2
8
8
8
8
8
0
0
6
0
0
4
4
0
0
0
0
16
16
16
0
0
0
0
0
0
0
0
1
4
0
24
4
8
0
0
16
0
2
44
4
4
4
4
4
8
16
0
0
0
0
16
16
0
0
8
8
8
0
16
4
4
4
0
0
4
1
1
8
0
1
1
16
16
0
18
0
0
0
8
12
16
16
4
2
2
0
0
0
0
16
4
2
8
16
16
16
16
16
0
0
16
8
8
8
8
0
0
10
16
16
0
16
0
0
0
0
8
2
0
2
16
16
16
0
0
0
0
0
0
0
0
16
0
0
0
0
0
16
16
16
0
32
0
0
8
0
8
8
2
2
0
0
0
0
0
8
8
24
8
8
8
8
0
0
0
0
8
2
2
8
0
0
0
0
0
0
2
2
2
1
8
8
8
0
8
0
4
33
12
0
8
36
0
0
0
0
0
4
0
1
16
0
16
16
0
8
0
0
0
0
5
8
8
8
16
16
0
8
0
0
0
0
44
16
8
0
0
16
16
16
16
0
0
0
16
16
16
16
8
0
14
14
8
4
0
8
8
16
16
16
1
1
1
1
0
4
16
16
0
0
0
4
0
0
8
0
0
0
0
8
0
0
0
0
8
8
9
9
9
9
12
0
0
32
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
16
1
1
0
8
0
8
0
0
1
8
0
0
16
8
17
12
8
8
8
2
8
0
6
16
16
16
8
16
0
0
8
4
8
0
8
0
4
1
4
4
0
0
0
0
8
9
12
8
0
0
0
0
24
24
32
8
4
16
16
8
8
8
8
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
8
8
8
29
29
29
4
16
2
0
0
16
32
16
16
16
0
0
0
0
8
2
24
24
24
0
2
0
0
0
8
8
0
0
32
0
16
16
16
16
16
8
52
0
1
0
0
4
8
8
8
16
9
9
0
0
0
0
20
6
2
2
0
0
2
4
2
8
2
8
8
8
8
0
0
0
16
0
8
8
16
0
1
0
0
0
0
16
8
0
0
0
0
0
0
0
0
0
24
0
0
1
1
0
2
1
0
8
0
0
6
0
5
5
0
18
24
32
0
16
24
24
0
16
0
0
0
1
1
16
4
8
8
25
25
25
8
8
0
0
0
0
0
0
0
0
0
16
16
8
2
0
0
48
0
0
0
8
16
0
0
0
0
8
8
16
0
0
12
8
16
16
0
0
0
16
0
2
0
2
0
0
0
0
0
9
9
9
9
0
0
0
0
0
0
3
8
0
0
16
2
2
8
1
24
0
8
8
0
8
18
18
0
16
1
1
4
16
16
16
2
8
8
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
2
16
16
8
40
4
24
9
0
0
0
0
0
0
0
0
0
17
0
0
0
16
16
0
0
0
0
0
16
16
0
0
0
8
8
8
8
8
0
0
20
20
8
4
0
32
0
0
8
0
0
16
8
1
8
8
0
8
8
4
4
8
0
16
2
20
0
16
16
0
0
0
0
0
0
0
0
12
1
1
48
8
2
0
8
0
0
0
16
16
0
0
16
1
0
0
0
2
2
0
8
0
8
16
16
16
16
0
59
0
8
8
8
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
16
0
8
0
8
21
21
0
0
0
3
1
1
0
1
4
0
0
16
16
0
1
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
8
0
2
2
8
0
1
1
0
0
2
8
16
16
0
0
0
0
0
0
0
24
8
8
16
0
0
0
16
0
24
24
16
16
0
17
0
8
8
8
0
0
0
0
8
8
8
8
0
0
0
16
16
16
1
1
8
8
0
16
16
0
8
8
0
8
0
8
4
8
8
8
2
0
0
0
0
0
16
16
24
16
45
45
0
0
5
5
5
8
4
0
2
4
27
16
16
16
16
16
1
8
0
0
0
0
0
8
8
0
16
0
0
17
17
8
0
0
0
0
2
8
0
0
40
8
32
8
8
8
8
16
0
0
0
0
16
16
24
16
0
17
0
0
0
0
0
0
1
1
0
0
16
0
16
4
0
17
17
17
17
17
17
1
2
8
8
32
16
2
0
0
0
0
0
0
4
0
16
40
40
8
0
0
0
0
0
25
25
0
2
2
2
2
16
16
0
8
24
0
16
8
0
8
0
0
2
2
2
2
2
2
1
1
16
0
8
24
24
0
0
8
8
2
0
0
0
0
0
0
0
0
2
0
0
0
4
24
8
8
32
8
8
8
8
1
8
0
0
0
0
0
8
0
8
8
4
0
16
8
16
16
0
0
12
8
0
16
16
2
8
0
0
0
18
0
0
0
0
17
17
32
32
0
8
8
0
0
0
0
0
0
0
0
19
0
8
17
1
1
0
0
0
16
8
0
16
16
2
2
2
0
0
4
0
0
0
0
0
8
8
0
9
9
2
2
0
0
0
0
0
0
0
42
0
0
0
0
0
0
4
16
16
1
0
0
0
0
0
0
16
16
0
8
8
8
0
0
0
0
0
8
8
0
0
1
0
0
8
0
0
0
0
2
0
0
0
8
0
0
0
0
0
8
8
12
16
8
8
8
8
20
24
24
1
8
8
1
6
16
16
16
0
0
0
0
0
0
0
16
28
16
0
8
8
0
0
0
0
20
0
0
0
0
4
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
4
4
8
8
0
0
0
16
1
1
8
4
0
1
4
0
0
16
4
2
32
8
17
17
0
2
8
0
0
0
0
0
0
0
0
0
0
0
0
12
28
1
1
0
0
16
17
32
0
0
0
8
8
8
8
8
8
0
0
16
16
0
0
0
0
0
0
0
16
16
16
0
0
0
16
0
0
0
0
4
8
8
16
16
0
0
0
0
0
0
0
0
1
1
1
16
8
20
0
8
8
0
4
0
0
0
0
16
8
8
2
2
2
16
16
16
0
8
8
0
0
16
0
1
1
5
5
5
0
0
0
0
8
0
0
0
0
8
8
8
16
4
2
2
2
0
0
8
16
0
8
0
0
20
20
8
0
1
0
0
0
16
4
8
8
8
0
16
16
16
16
0
0
0
0
8
8
8
0
0
0
0
0
8
4
16
8
16
0
0
16
8
0
0
0
0
1
12
41
0
0
1
12
32
32
16
8
0
18
0
16
16
16
0
0
0
0
0
0
8
8
8
0
0
0
0
16
0
5
5
5
16
24
12
0
0
0
8
8
16
16
16
16
16
2
4
2
16
8
0
1
0
0
0
0
32
8
8
16
16
24
0
8
16
8
8
0
8
2
10
8
0
8
8
0
0
0
16
2
16
26
26
26
8
24
24
0
0
8
16
16
16
16
16
16
8
0
0
27
27
0
16
1
24
24
24
24
0
8
0
8
8
0
16
16
8
4
8
5
0
0
24
24
1
1
8
8
16
2
2
0
0
8
30
0
0
0
0
0
0
16
18
16
16
16
16
0
0
16
8
4
4
36
8
8
8
8
1
8
0
0
0
0
0
2
16
0
0
0
1
1
2
16
0
0
0
0
0
0
0
8
0
7
7
8
0
0
0
2
2
2
8
10
0
8
0
28
28
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
24
24
24
0
4
0
4
2
2
0
0
0
0
16
0
0
0
0
4
39
0
0
0
8
8
16
4
8
0
8
33
0
8
2
2
2
0
16
16
4
0
1
0
0
0
1
8
0
0
0
8
48
48
48
16
16
16
16
0
16
8
8
1
0
0
0
8
16
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
16
0
0
16
0
20
0
0
22
3
3
3
2
2
0
2
2
16
16
16
2
2
16
16
16
16
8
4
16
16
2
0
8
0
0
0
0
16
0
4
4
16
8
8
0
0
0
0
48
0
0
4
4
4
49
0
0
0
0
0
4
0
0
16
1
1
1
16
8
0
0
0
0
0
0
18
24
8
0
0
16
0
0
0
0
0
0
0
0
2
2
2
2
0
8
8
8
0
0
0
24
24
24
24
24
0
0
0
0
0
0
0
8
16
0
0
0
0
0
0
8
0
5
0
0
8
8
8
8
8
8
0
20
0
0
16
16
0
0
0
0
0
8
16
16
0
18
18
18
18
18
18
16
0
0
4
8
8
8
8
0
2
2
16
4
4
0
16
8
8
8
32
32
8
8
8
8
8
8
0
16
16
8
24
16
0
0
0
0
0
4
4
8
8
1
1
8
16
16
16
0
0
0
0
0
0
0
24
0
0
1
18
18
18
0
2
4
16
0
0
0
8
32
0
9
0
0
0
16
16
8
8
8
0
9
8
8
36
16
0
0
0
24
24
24
4
4
4
4
4
1
16
16
41
41
41
41
0
4
4
0
0
8
8
24
24
24
4
8
56
24
24
0
0
0
8
1
8
8
0
8
4
4
4
0
8
0
40
25
8
8
0
9
36
36
36
0
0
2
0
16
16
16
16
16
16
8
2
16
0
1
8
8
8
8
16
16
52
0
0
8
0
16
0
0
8
8
8
8
0
0
0
16
16
16
16
4
4
4
0
0
16
16
16
1
1
1
0
0
2
16
0
0
0
0
0
0
1
1
1
24
24
24
0
8
8
16
0
0
0
8
0
0
8
0
0
0
0
0
18
0
4
4
4
0
32
16
16
16
16
16
16
16
0
16
0
16
0
0
8
8
0
2
2
2
0
0
0
24
24
24
24
16
16
0
8
0
0
0
0
0
0
0
8
8
8
32
32
32
16
2
16
0
0
1
0
16
16
16
0
0
16
0
1
0
0
22
0
0
16
0
0
0
0
0
0
8
0
4
16
16
16
16
16
0
48
0
0
8
2
0
0
0
0
2
8
0
0
16
0
8
8
30
8
16
19
1
10
10
0
21
21
21
21
21
1
16
16
8
1
1
1
8
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
24
4
12
16
12
0
0
8
0
4
0
0
32
32
0
0
3
3
3
3
3
3
3
3
0
4
8
8
8
8
2
0
2
8
8
0
8
8
0
0
4
4
0
0
0
0
0
0
0
0
0
0
0
0
32
32
0
0
0
8
0
0
0
8
32
16
0
0
0
0
0
28
0
16
1
16
0
0
1
8
8
0
0
4
4
0
0
32
16
16
16
16
16
8
8
16
8
0
24
24
0
0
8
2
0
16
0
0
0
0
8
8
0
0
0
0
0
0
0
16
0
8
12
12
12
2
0
0
0
0
0
0
20
20
8
8
8
16
16
0
8
8
4
0
0
0
0
0
16
16
4
20
48
48
4
32
0
24
16
0
1
0
27
18
18
18
2
16
16
0
0
0
0
0
4
0
16
24
24
0
4
4
4
4
0
16
8
16
0
0
4
0
12
4
4
16
16
40
40
48
48
4
16
16
0
16
0
18
8
0
0
0
0
18
16
0
2
4
0
0
4
4
0
0
0
0
4
4
4
0
0
8
0
0
8
8
8
8
32
8
8
16
4
0
4
8
1
1
0
0
24
25
8
0
16
16
8
0
16
1
0
0
8
1
0
0
0
0
0
22
0
0
0
4
0
0
16
0
0
32
8
8
8
8
8
8
8
4
0
16
16
16
16
8
16
16
0
0
0
0
16
16
16
16
16
16
0
12
1
8
4
8
1
0
8
0
0
0
0
0
0
0
0
0
0
9
12
12
12
0
8
8
0
0
8
8
16
0
16
16
8
8
8
8
0
0
0
16
16
0
8
0
19
0
0
0
0
0
0
2
8
8
8
0
8
8
8
8
8
16
16
8
16
16
0
0
16
16
0
0
0
16
0
0
0
0
0
0
0
0
6
0
0
0
0
8
8
8
8
8
8
8
8
0
0
0
8
8
8
0
0
0
0
0
0
0
0
16
16
0
0
24
0
0
8
0
0
0
0
0
16
16
16
2
2
4
8
4
4
1
1
0
0
16
16
0
0
0
8
8
0
4
1
0
16
16
40
0
8
16
16
24
24
16
2
16
0
8
8
0
0
2
17
0
16
16
8
16
8
8
0
0
0
16
16
3
3
3
1
0
16
8
8
1
12
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
16
8
8
8
0
0
20
16
16
0
0
0
0
0
16
8
0
28
28
16
0
0
0
1
1
4
16
16
8
8
1
1
0
0
0
16
0
8
8
0
0
0
0
0
0
16
16
16
4
4
4
4
8
8
8
0
0
0
0
8
0
0
0
0
1
4
4
0
0
1
0
0
33
33
8
0
0
0
0
16
8
9
0
0
8
8
8
1
8
16
8
8
16
16
0
0
8
0
2
2
2
4
0
16
0
0
16
0
32
32
0
0
0
0
0
0
0
8
8
8
2
2
0
16
16
0
0
0
0
8
8
1
1
1
1
1
17
17
17
24
24
24
10
0
0
0
24
24
16
16
16
4
4
2
16
16
16
16
0
0
0
0
0
0
0
2
0
0
0
0
0
8
0
0
32
32
0
8
8
0
16
0
0
2
2
8
2
2
16
24
16
0
0
0
0
0
8
0
8
0
0
0
4
4
4
0
0
0
8
1
0
0
0
0
0
16
8
0
0
0
8
8
0
0
16
0
0
2
2
0
0
0
0
16
2
0
0
0
0
0
24
1
8
8
0
0
16
16
9
0
49
0
0
0
24
24
24
0
0
16
16
16
0
16
0
0
8
8
0
0
0
0
0
0
0
0
0
1
0
8
8
16
0
16
8
16
16
8
8
8
16
0
8
8
1
12
12
12
0
0
0
4
4
4
4
4
16
16
0
0
8
8
0
8
24
8
16
8
8
8
16
0
0
0
0
0
0
0
0
0
0
0
16
16
8
8
8
32
32
32
16
8
8
8
2
2
0
0
0
0
0
16
16
0
8
16
16
8
9
8
24
0
16
1
0
0
8
24
8
0
0
8
0
0
12
12
4
4
12
16
0
0
0
16
0
0
0
0
0
0
0
0
0
0
32
0
0
0
17
0
1
4
0
0
0
16
16
16
4
4
4
0
0
0
0
0
0
0
24
25
0
0
0
0
0
8
8
8
0
1
8
8
8
0
16
16
16
16
8
0
20
0
0
0
0
2
0
4
32
0
8
24
16
16
8
26
26
0
8
8
0
0
0
0
0
8
8
0
0
0
16
0
0
0
16
0
0
0
0
6
6
6
16
0
0
8
8
16
16
4
20
20
0
0
0
0
0
0
0
0
0
0
18
18
18
0
0
0
0
16
8
8
8
16
0
0
0
0
0
0
8
0
8
0
0
0
32
32
0
0
32
6
0
0
8
8
8
8
0
0
4
0
2
8
8
0
8
8
8
8
0
8
8
8
16
0
0
16
0
16
16
0
16
0
0
8
0
16
16
1
16
1
0
0
0
44
16
8
0
5
8
1
0
8
8
0
2
2
32
0
8
0
16
16
16
16
20
8
8
0
18
12
0
0
20
2
4
8
0
0
0
0
8
8
0
8
0
8
0
0
0
0
0
0
0
2
2
2
2
16
0
0
16
16
16
16
8
8
0
16
8
8
8
0
0
0
0
0
8
8
1
1
8
0
4
16
16
1
16
16
0
0
0
25
16
16
0
0
0
0
0
0
0
0
0
0
8
32
0
4
4
1
0
0
0
0
0
0
0
0
0
4
4
4
4
0
1
8
8
0
4
8
8
16
0
8
16
0
8
16
0
0
0
8
8
8
8
8
8
0
16
16
16
8
0
1
0
16
0
0
0
0
0
0
0
20
20
20
20
0
0
4
1
16
16
16
0
0
0
16
1
8
8
8
0
32
8
4
32
16
16
16
16
16
8
16
8
8
8
0
8
8
8
8
0
0
0
0
0
8
8
8
8
8
8
8
8
0
0
0
0
0
0
8
8
0
0
0
16
0
1
8
16
16
16
24
4
4
0
8
0
8
8
0
2
0
1
0
16
16
0
0
0
9
16
2
8
0
0
4
0
0
16
16
16
6
0
0
0
0
0
0
17
4
4
0
0
16
16
16
0
0
0
4
0
0
16
16
8
0
0
8
1
1
1
1
1
8
0
0
4
16
16
0
4
0
4
0
0
0
12
0
8
0
0
8
8
0
0
0
0
8
8
8
4
8
0
0
0
2
2
0
4
0
16
16
0
0
0
0
0
0
0
0
0
16
16
8
24
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
17
17
17
17
1
0
0
0
0
0
0
0
0
33
33
33
33
24
24
0
8
8
0
0
0
8
28
12
12
0
32
16
16
0
8
0
0
0
0
32
0
16
16
16
16
0
0
0
0
0
0
0
0
1
0
16
0
8
8
32
32
16
0
0
8
8
8
32
0
0
1
1
16
2
2
16
2
2
32
32
4
8
0
28
28
32
32
32
16
0
40
40
40
16
8
0
8
8
8
0
0
4
0
0
0
1
0
0
0
8
8
0
0
0
0
24
0
0
18
16
8
8
0
0
0
0
0
0
0
0
0
0
6
6
8
6
8
8
1
20
2
6
1
0
1
9
8
0
0
16
8
0
0
0
0
0
4
0
8
8
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
28
28
0
0
8
8
4
4
4
4
1
8
0
33
0
0
0
8
8
8
0
0
0
8
8
4
4
16
4
0
0
16
0
0
0
0
0
8
8
0
0
8
8
4
16
16
16
16
1
24
16
16
16
8
0
8
24
0
0
0
0
0
0
0
4
0
16
16
16
16
16
16
16
16
10
2
2
16
16
16
16
4
0
0
0
0
4
4
4
4
4
8
8
8
8
24
0
0
16
0
0
0
8
8
8
8
8
16
24
24
0
32
4
12
8
8
8
1
0
0
1
0
16
2
26
2
2
8
8
40
40
6
6
6
6
2
0
0
0
0
4
4
0
4
32
16
16
0
0
0
16
8
8
16
1
0
8
8
0
16
32
0
16
4
4
0
0
0
0
0
9
9
2
0
0
0
0
0
0
0
0
8
0
0
0
8
8
50
50
34
16
16
0
16
16
4
0
0
0
5
16
0
2
2
0
0
0
0
0
0
8
0
24
24
24
32
0
0
0
16
8
1
8
8
0
0
32
8
0
4
0
0
17
0
0
0
0
0
0
0
0
8
8
8
5
5
0
8
2
2
48
2
16
16
0
0
0
16
8
8
0
32
32
1
0
0
0
35
35
35
1
0
16
0
0
0
2
2
2
16
16
8
0
0
18
8
5
8
0
0
4
4
4
16
0
24
20
8
8
0
0
0
0
0
0
0
0
0
8
8
8
8
16
4
8
4
16
16
8
8
28
8
8
0
4
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
8
0
0
0
6
16
22
22
16
18
8
8
0
8
16
24
24
8
8
0
8
8
8
8
0
0
0
8
40
24
4
0
0
0
0
0
0
8
8
2
16
16
4
16
0
8
8
4
4
16
16
1
0
0
0
16
16
16
4
1
0
0
1
4
0
0
0
0
0
0
0
0
0
16
16
16
16
16
16
2
2
2
8
8
9
9
0
9
8
0
0
8
8
8
0
0
0
8
24
24
0
0
0
0
0
0
0
16
19
19
19
19
8
8
0
1
1
16
0
16
8
0
0
16
16
16
16
4
4
4
16
8
4
4
4
8
0
8
8
0
0
0
0
0
13
0
0
0
16
0
28
0
0
0
8
8
0
8
0
0
8
58
58
0
0
1
1
0
42
0
0
0
40
40
32
0
0
0
0
0
8
8
0
16
16
4
8
16
16
0
0
0
1
0
28
0
0
0
0
0
8
4
4
8
32
32
32
16
2
16
16
16
16
16
16
8
0
8
16
4
8
0
0
0
0
1
1
0
16
16
0
2
0
0
0
18
18
18
18
18
0
8
0
0
4
8
16
16
16
16
16
0
16
1
0
0
0
16
0
8
8
0
0
0
0
0
0
0
4
0
8
8
0
0
0
0
4
4
8
8
16
16
0
0
0
1
1
1
1
16
8
8
0
0
0
8
32
2
2
16
0
0
0
0
0
0
0
16
19
32
8
0
32
32
0
0
0
4
0
0
16
16
0
0
0
16
16
8
0
24
24
0
0
8
2
0
0
8
1
16
0
0
0
0
0
0
8
8
8
4
4
12
8
0
14
14
32
1
1
1
8
0
1
0
4
4
22
22
16
16
16
0
8
8
2
2
8
12
12
28
0
8
8
0
2
2
0
16
16
24
8
16
16
8
0
32
0
32
32
32
32
32
16
0
16
10
0
0
0
16
16
8
16
8
8
8
8
0
0
0
0
0
0
0
0
0
0
4
0
16
16
16
8
1
0
0
16
1
1
8
8
0
0
8
0
0
16
0
0
16
0
0
1
1
1
1
1
1
13
0
0
0
0
0
16
16
16
8
18
16
0
4
16
16
8
2
8
8
0
0
24
24
0
0
0
0
0
0
0
24
24
8
1
1
4
16
0
0
8
8
0
16
4
4
16
16
16
16
0
2
0
16
8
8
0
18
8
8
0
0
4
16
0
0
0
2
2
2
18
8
1
0
5
0
5
16
16
16
0
8
0
3
1
1
1
1
1
1
1
1
1
0
16
8
0
0
4
0
0
4
1
11
1
1
1
2
2
20
0
0
0
32
0
0
4
4
4
4
16
32
16
16
1
8
16
0
16
1
0
0
0
8
8
8
16
2
25
16
16
16
19
19
32
32
4
0
0
0
16
16
0
16
0
0
0
0
2
0
16
0
24
0
8
0
0
8
8
0
0
16
0
0
0
0
0
8
0
0
8
28
16
16
16
0
0
0
24
0
0
8
8
0
0
0
32
16
0
16
16
0
0
8
0
0
0
0
2
2
1
0
0
0
4
2
2
0
0
0
28
8
0
0
0
0
1
16
0
12
6
4
17
2
2
2
8
8
4
0
0
0
0
0
2
0
2
2
1
1
0
0
0
0
1
8
0
0
0
8
0
0
0
8
0
0
0
0
0
0
0
16
16
24
24
24
24
24
8
8
8
16
24
16
8
0
0
4
4
16
2
2
1
1
1
1
1
8
0
0
0
8
8
8
0
1
0
8
8
0
16
56
24
0
0
0
0
0
0
0
24
0
0
0
0
0
8
8
0
41
8
8
8
0
0
2
0
0
2
2
2
16
0
0
8
8
1
16
0
8
1
1
16
0
0
8
16
1
16
4
16
16
16
16
0
8
20
0
0
0
4
1
18
0
8
1
32
0
8
8
2
4
8
8
8
0
2
2
8
24
24
24
24
24
24
24
24
24
24
16
16
4
8
0
0
1
1
2
16
8
0
0
0
4
0
24
0
16
16
16
16
0
0
0
4
0
0
0
0
0
0
0
0
8
0
0
0
0
0
8
16
16
24
24
16
16
0
0
0
4
4
0
0
8
8
4
4
2
0
8
8
44
8
2
8
8
0
16
16
16
16
16
16
0
0
16
25
0
8
8
0
1
8
8
0
0
0
0
16
2
2
40
40
40
16
0
8
8
0
0
16
0
0
0
8
32
32
0
8
0
0
0
4
0
16
16
16
0
0
0
8
1
1
1
8
1
4
4
8
1
1
1
8
8
8
0
0
0
16
16
8
0
0
32
28
28
28
1
0
0
2
10
9
9
9
0
6
6
12
0
0
0
1
16
16
1
0
0
0
8
0
0
0
16
4
24
16
16
0
8
0
2
2
2
0
0
0
0
0
0
0
1
32
16
16
16
8
8
0
0
8
8
8
16
0
0
24
12
25
25
8
0
0
32
32
16
0
0
8
4
0
0
0
0
0
0
8
0
0
0
24
0
0
4
49
0
0
0
0
0
17
0
0
8
16
8
8
0
16
16
0
8
8
0
1
8
8
8
8
4
1
1
1
1
0
0
0
0
0
2
2
2
2
0
16
16
8
8
8
0
24
0
0
0
0
8
0
1
1
8
0
0
0
16
16
16
1
0
0
0
8
0
0
2
16
0
42
8
1
16
16
16
0
8
2
4
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
6
8
8
0
0
0
0
0
1
0
8
8
8
8
0
0
0
16
16
16
0
0
0
8
8
20
33
16
12
0
4
4
0
0
0
0
0
0
0
8
8
8
8
0
6
0
8
0
0
8
8
0
0
0
13
0
8
1
40
0
8
32
8
0
0
0
0
2
0
0
0
24
16
0
8
0
8
8
0
0
0
0
0
0
0
4
1
0
25
8
8
8
32
32
2
8
8
8
8
0
0
0
0
0
16
0
16
16
8
8
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
16
8
8
0
0
8
0
0
0
0
0
28
28
0
0
0
8
4
12
0
27
1
8
8
2
0
16
16
0
0
0
8
8
32
16
16
16
0
8
8
8
8
0
0
8
0
0
0
0
0
0
0
0
8
9
9
8
0
0
16
0
4
8
16
0
8
0
9
8
8
0
0
0
1
0
0
0
32
0
0
0
24
2
9
9
0
0
0
8
8
8
8
0
0
0
0
0
0
16
0
8
0
0
0
1
17
17
0
0
0
8
0
2
16
16
18
0
4
0
32
20
32
32
0
8
8
8
0
0
0
16
0
33
33
33
0
0
9
0
8
8
8
16
0
16
0
0
2
2
2
2
2
2
0
0
4
24
8
4
4
0
0
0
0
16
16
0
16
16
24
0
16
8
0
17
17
4
8
16
16
16
16
16
16
16
16
0
8
8
8
0
0
12
16
1
4
8
1
12
28
32
0
0
16
16
0
1
16
16
0
0
0
0
0
0
2
2
1
0
0
0
0
8
30
0
0
0
16
0
0
0
0
16
0
0
8
1
16
16
4
2
0
0
0
16
0
4
4
50
0
0
0
16
0
6
0
4
4
4
16
16
0
0
0
0
0
0
16
0
0
0
0
0
0
8
0
0
8
16
16
16
16
0
0
1
16
16
8
0
16
16
8
4
8
8
0
2
2
2
16
16
0
0
0
0
16
1
1
0
8
8
0
8
0
0
0
0
0
0
16
0
4
26
4
8
0
0
0
1
9
0
0
0
0
0
4
16
0
0
4
1
8
0
16
0
16
16
4
0
0
0
4
0
0
1
1
1
2
2
2
6
0
0
1
0
0
8
8
0
0
8
0
0
0
0
0
0
0
0
3
3
3
0
0
16
16
0
0
0
0
50
16
24
8
0
0
8
8
8
8
8
18
18
18
26
26
0
0
8
0
0
0
16
0
0
0
0
16
0
8
0
0
0
0
0
0
0
32
32
32
16
16
0
0
0
32
16
16
2
8
0
0
0
0
16
8
1
1
1
39
0
4
0
0
16
8
0
8
0
0
0
0
12
12
16
0
0
16
32
24
2
0
0
8
8
0
0
0
0
16
0
16
0
0
0
0
0
0
0
0
0
0
0
1
8
0
0
0
0
0
0
0
1
16
16
24
0
0
0
1
8
8
8
8
16
16
16
16
0
0
0
0
0
0
0
16
16
9
8
0
0
0
0
0
4
0
8
8
8
8
16
16
8
0
32
0
16
8
4
0
0
0
0
0
0
0
1
0
17
0
0
19
16
0
20
4
4
4
4
4
1
0
0
0
16
4
8
16
16
16
16
4
16
0
0
0
8
8
8
8
16
24
24
24
24
0
0
0
0
0
0
0
32
8
0
0
8
8
0
0
16
4
0
0
16
0
0
8
16
8
0
16
0
0
0
16
8
1
1
0
8
16
16
16
16
16
0
16
18
18
20
0
0
0
8
1
0
0
0
0
0
0
0
8
4
4
1
2
8
0
0
0
0
8
8
8
8
1
8
19
0
5
5
5
0
0
4
0
0
0
0
0
0
4
17
0
2
2
0
8
8
0
24
24
0
0
16
23
23
0
0
0
4
0
16
16
8
8
0
0
0
0
0
0
8
8
8
8
8
24
24
0
0
40
40
40
40
0
0
4
8
8
8
8
0
8
0
0
0
4
0
4
8
0
0
8
7
7
7
16
2
8
8
8
8
0
0
0
8
4
0
0
0
0
8
8
24
24
24
24
16
8
8
8
16
16
16
0
26
2
0
0
0
0
32
4
0
0
0
0
16
16
16
16
0
24
24
24
24
24
16
20
8
16
0
0
18
4
1
1
1
8
16
0
0
4
4
0
16
16
16
1
0
8
0
0
0
0
16
0
0
0
0
8
8
8
0
1
0
0
0
2
2
0
0
12
1
16
16
16
16
0
0
16
0
16
16
16
0
16
0
0
0
0
0
24
16
21
16
8
8
1
1
4
0
1
0
8
8
16
1
1
0
0
16
16
16
0
1
1
0
0
8
8
8
8
8
16
16
16
16
0
0
0
0
0
16
0
1
8
16
0
0
0
0
8
8
0
0
16
16
16
16
16
13
0
4
0
8
8
24
0
8
8
8
0
8
47
0
0
0
8
0
8
0
8
8
0
0
0
0
8
8
0
16
16
0
0
16
0
0
8
28
28
28
28
28
28
16
16
1
1
8
0
1
1
0
0
0
16
16
16
16
16
16
16
0
0
0
8
8
0
8
32
16
16
16
16
0
48
16
16
16
0
0
0
0
8
8
24
24
16
8
0
28
28
4
2
8
2
2
0
2
0
0
0
0
0
0
0
0
2
2
8
4
4
8
8
8
0
32
32
8
8
8
0
0
16
16
16
8
0
0
0
0
0
0
8
8
4
16
0
50
0
0
8
8
0
0
0
2
0
2
2
8
16
0
0
0
16
8
0
0
0
0
0
0
34
34
34
8
8
8
0
0
16
16
16
0
0
4
2
8
0
0
0
0
4
4
16
16
16
0
0
0
0
0
0
0
0
0
8
0
0
16
16
16
8
0
0
0
0
0
4
4
4
4
4
2
16
0
2
2
8
8
0
0
0
50
50
16
0
32
16
16
16
16
16
0
0
0
32
0
0
0
0
0
4
4
0
0
0
0
6
8
0
8
8
0
16
8
0
8
12
0
16
16
16
8
16
16
16
16
0
8
16
0
20
0
16
16
16
0
8
8
1
8
0
0
0
0
0
0
8
4
0
0
0
0
0
1
8
0
0
0
8
20
8
0
0
0
0
16
16
16
16
0
1
0
0
0
0
4
4
0
16
16
8
8
10
10
10
9
4
0
24
8
16
12
12
0
0
4
22
4
8
8
8
0
0
0
0
1
20
0
1
1
16
16
10
10
8
1
8
0
16
16
16
4
4
0
0
0
0
0
0
0
0
8
8
16
16
0
0
16
16
16
8
8
8
8
8
0
0
0
0
0
0
4
0
8
8
8
8
0
17
8
8
16
1
0
0
4
8
0
0
16
1
1
0
0
8
8
8
0
0
0
2
4
16
16
17
16
0
0
4
0
0
0
0
0
8
8
17
0
2
0
16
16
16
4
0
16
16
2
0
3
3
3
3
3
0
1
0
0
1
0
30
30
2
8
8
0
0
8
4
0
16
16
0
2
0
8
1
1
1
1
1
0
0
8
4
33
33
33
8
8
8
8
16
8
8
1
8
2
2
2
0
16
16
16
16
8
8
8
16
0
4
0
0
8
50
8
8
8
0
8
8
8
0
0
0
0
0
0
8
8
8
0
2
0
0
0
0
0
16
0
0
8
8
0
0
0
0
0
0
33
16
16
0
0
24
9
16
2
0
0
0
16
4
16
0
0
16
16
0
0
0
3
8
4
8
0
0
0
0
0
0
33
8
16
16
4
4
0
0
0
16
4
0
0
0
0
8
8
0
0
16
16
16
16
0
9
1
16
16
16
16
8
16
16
1
0
2
0
0
24
0
0
24
24
0
0
0
0
16
8
12
8
0
0
8
8
8
9
9
9
9
2
2
2
0
0
8
8
16
0
4
16
32
0
0
0
0
0
0
0
0
0
2
4
4
0
0
0
0
0
6
1
8
20
0
0
16
0
0
0
0
0
9
9
0
0
10
10
0
0
0
2
2
8
0
0
0
0
0
0
2
8
0
0
0
0
0
8
0
0
0
25
8
16
16
16
0
0
0
0
12
12
8
8
8
8
8
8
0
8
8
8
8
0
0
0
0
0
1
4
4
32
16
0
32
0
0
2
2
8
0
9
0
0
8
0
0
0
8
4
4
4
0
0
8
8
0
0
4
8
0
0
1
16
0
0
0
0
0
13
13
13
16
16
0
8
8
8
8
8
0
0
0
16
0
0
0
8
1
8
8
8
8
0
0
12
0
0
8
8
8
8
8
8
0
2
32
0
16
16
16
32
0
0
0
0
6
0
4
4
4
32
0
0
0
4
24
1
8
10
0
8
0
0
0
8
2
0
0
0
0
0
8
16
32
8
8
24
12
12
12
12
12
12
0
0
0
0
16
1
0
8
8
8
8
0
0
5
1
8
0
20
0
20
16
0
0
0
0
0
0
8
1
0
0
0
0
1
0
0
0
32
0
0
0
16
0
0
0
0
8
0
24
24
24
0
0
0
0
0
8
16
16
0
0
1
1
0
0
16
16
16
4
4
0
0
0
0
16
8
9
0
8
8
8
8
8
17
0
0
0
0
0
0
0
8
8
8
8
8
1
0
0
1
2
4
0
16
16
25
25
16
0
8
1
4
0
0
16
16
0
0
24
11
8
40
0
16
0
0
16
16
16
16
0
0
16
16
0
0
16
8
0
0
16
16
16
16
16
8
8
0
0
16
16
5
0
24
32
32
0
0
17
17
17
40
0
0
0
8
8
8
2
8
8
8
8
0
40
0
0
4
8
0
0
32
32
8
8
0
0
0
0
0
0
0
0
8
8
8
0
16
16
16
16
16
0
8
8
4
4
32
0
0
0
0
0
8
0
0
0
0
8
0
4
4
8
2
0
0
32
0
1
1
1
1
8
0
0
0
16
8
0
0
8
8
28
4
0
8
8
0
0
24
0
0
8
0
0
28
16
16
0
0
0
0
0
1
8
8
0
34
0
0
0
20
16
16
16
16
16
0
0
1
1
1
0
16
0
0
0
0
0
0
16
16
16
16
40
8
0
0
32
16
0
0
8
0
0
0
1
0
24
24
16
16
0
0
8
8
8
8
8
16
8
0
0
0
8
32
32
0
0
16
0
0
0
8
2
0
16
0
0
8
0
0
0
0
4
0
8
8
0
30
30
30
30
30
0
20
8
4
4
16
2
16
9
8
0
25
5
8
8
8
0
0
0
0
8
8
8
8
8
8
14
8
24
8
0
1
1
4
4
0
0
8
0
48
24
24
8
8
8
4
8
0
0
26
0
0
8
8
28
0
0
8
0
0
0
0
0
0
24
0
2
32
32
4
8
8
0
0
0
8
0
0
0
0
4
17
17
32
0
0
0
8
2
48
0
0
8
8
8
0
8
8
16
0
0
4
0
0
0
16
0
0
0
24
1
1
0
0
1
0
8
0
33
0
0
0
0
0
24
0
0
0
8
0
8
0
0
0
8
8
0
16
16
16
0
16
16
16
16
16
16
16
0
8
0
0
0
4
2
0
16
16
0
8
8
8
1
16
16
16
16
16
16
0
8
8
0
0
8
8
12
0
36
24
16
16
16
16
8
16
0
20
20
0
8
8
8
24
8
8
0
0
0
8
8
8
8
8
8
4
0
0
0
0
8
8
0
0
0
0
0
0
8
8
2
2
0
0
0
0
0
24
4
16
1
2
8
24
24
0
8
8
8
8
32
16
18
1
0
8
8
8
16
0
0
8
0
16
16
16
16
2
2
2
2
2
8
0
4
4
4
4
32
16
16
0
16
16
16
8
0
4
16
0
0
0
0
0
0
4
0
0
0
0
0
16
8
8
8
2
0
0
0
0
16
8
0
0
0
0
0
0
32
16
0
4
4
0
0
0
0
0
0
0
0
0
0
0
0
33
0
0
17
0
0
16
16
16
16
0
0
56
16
0
0
8
8
0
0
0
0
24
0
1
1
9
8
8
4
0
0
0
8
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
4
16
16
0
16
16
0
0
2
2
2
2
4
4
4
0
0
0
4
0
1
0
0
0
0
0
0
4
4
0
0
2
8
27
0
0
16
0
16
0
1
0
16
16
16
16
4
0
16
0
32
16
1
1
1
0
0
4
16
16
0
24
0
0
0
0
0
0
0
16
0
8
16
4
20
8
0
0
0
16
16
0
0
0
2
2
10
0
0
0
4
4
0
0
0
1
1
1
4
8
8
8
0
0
16
8
8
8
2
8
1
1
1
24
8
0
0
16
32
32
0
8
4
0
0
0
0
0
16
0
8
16
24
16
16
0
0
1
1
0
0
0
0
16
16
8
16
0
0
16
16
0
0
0
24
16
16
8
8
0
23
23
2
16
8
8
16
16
16
16
16
8
0
8
0
8
16
0
8
0
0
0
0
16
0
0
8
4
0
16
0
2
1
0
0
8
8
8
8
0
16
0
0
8
16
16
16
16
0
0
0
0
0
0
0
8
0
0
0
0
2
0
18
0
24
8
0
0
0
8
9
9
9
9
9
0
4
0
8
0
0
0
8
24
24
24
4
4
8
16
10
10
10
21
2
0
0
0
0
8
1
1
0
1
0
0
0
0
0
0
0
0
12
0
0
16
0
0
16
0
8
1
1
1
16
0
0
0
0
2
2
16
0
0
9
9
4
24
24
24
24
0
0
1
0
0
0
1
20
0
4
4
40
0
16
4
1
0
0
8
8
16
8
0
0
0
0
16
16
16
0
40
1
8
8
8
1
0
8
16
0
0
2
8
0
0
16
0
0
0
0
6
6
6
16
0
0
16
16
0
0
20
20
0
0
8
8
0
2
2
0
9
9
27
9
9
24
8
0
8
8
8
8
1
0
0
0
0
0
0
0
0
20
1
1
1
1
1
1
1
1
1
1
1
1
0
8
8
8
0
0
0
8
0
4
4
4
16
16
0
0
0
0
0
0
32
32
4
0
0
0
0
16
4
12
12
16
16
0
0
0
0
0
0
16
16
16
16
0
0
8
8
0
0
0
0
8
0
0
0
0
40
40
0
8
0
0
0
0
1
28
10
10
0
16
0
0
0
8
20
20
0
0
8
1
16
16
16
16
0
0
4
0
0
0
16
0
0
4
4
1
1
16
8
16
16
1
1
16
0
0
8
16
16
16
16
0
6
6
32
32
8
1
0
5
4
8
0
0
16
1
10
8
30
4
4
24
24
8
8
0
16
16
16
0
16
3
16
4
1
16
1
0
0
8
1
23
0
16
0
0
0
20
20
4
4
0
0
0
8
8
8
0
0
0
0
8
8
0
0
16
8
8
0
1
1
16
0
0
17
8
1
16
4
4
16
16
16
9
4
2
0
0
8
0
0
8
1
1
16
8
2
16
16
18
0
2
32
0
8
8
8
8
0
16
40
40
40
0
0
1
4
4
4
2
16
16
0
0
0
0
16
16
0
0
16
8
16
0
8
8
16
0
32
24
0
16
8
8
8
12
0
32
32
0
8
0
0
16
0
0
0
0
8
0
16
16
0
2
2
0
0
4
5
0
0
8
8
16
32
32
9
9
9
9
9
9
0
0
8
8
8
25
25
4
1
0
24
0
0
0
0
0
0
1
1
1
16
16
16
8
0
0
0
0
0
0
0
1
1
2
2
4
4
8
0
0
0
0
8
16
16
8
0
8
0
0
16
16
16
16
4
0
16
8
8
8
8
0
2
2
2
8
16
6
6
6
6
6
16
16
13
13
13
10
10
10
10
0
0
0
16
0
0
8
0
0
0
16
0
0
8
0
0
24
24
2
2
0
16
0
0
0
16
0
0
0
0
8
8
8
57
57
12
0
0
0
0
8
8
16
0
16
16
8
16
8
8
0
32
24
24
8
0
24
0
16
16
16
0
1
0
4
8
1
1
1
16
16
16
16
16
16
0
0
4
0
0
0
16
4
16
16
0
0
24
0
2
16
8
0
0
0
0
4
4
0
0
16
4
0
0
0
0
16
16
24
24
8
0
0
0
0
0
8
0
0
1
8
24
24
24
24
16
0
0
0
4
16
16
16
16
16
0
0
0
5
0
0
0
0
8
0
0
8
0
0
0
0
0
26
4
28
8
0
8
8
8
0
0
20
0
0
0
0
0
0
0
4
4
4
16
16
16
8
16
16
16
16
16
42
42
2
16
16
16
16
16
16
16
2
2
0
16
16
1
1
0
1
16
1
0
16
24
8
4
4
4
16
0
0
0
0
2
0
0
0
0
0
0
0
16
9
0
0
16
9
0
0
0
0
0
0
0
0
0
0
1
0
8
1
8
0
0
0
16
16
16
8
8
8
0
0
0
0
2
16
16
16
8
0
8
8
8
8
6
6
8
8
8
0
0
2
2
2
16
8
1
1
1
1
1
1
1
0
0
0
0
0
0
1
1
1
16
16
16
0
32
16
0
0
8
16
16
16
16
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
24
24
4
28
28
28
28
0
8
8
8
2
2
2
2
2
16
16
4
0
0
16
17
0
20
20
20
32
4
4
0
1
0
0
0
0
0
0
10
10
10
16
16
16
16
16
16
16
16
0
0
16
16
16
20
20
0
16
36
24
24
8
8
8
0
8
8
0
0
8
0
0
1
0
0
16
0
0
16
16
0
16
16
2
0
16
16
0
0
0
0
0
0
0
0
0
48
48
48
8
16
8
8
8
19
0
0
0
0
0
0
4
4
8
0
0
24
4
16
16
24
8
0
8
4
4
4
0
0
16
0
0
0
0
0
0
0
0
4
4
16
0
0
0
0
8
8
4
3
3
3
0
0
0
2
0
24
24
24
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
4
4
16
40
40
2
0
0
0
0
8
16
16
16
0
4
8
2
2
16
16
8
0
32
0
16
0
0
0
0
32
0
0
8
1
24
24
0
0
0
0
3
8
1
0
2
10
10
10
10
4
0
0
16
16
16
0
0
16
8
8
0
0
0
0
0
0
0
0
16
0
0
0
0
4
16
8
0
8
0
0
16
0
0
8
16
0
0
0
0
0
0
0
0
0
4
8
8
8
8
16
0
0
8
16
0
0
3
8
16
0
0
8
2
0
0
16
16
4
41
0
0
0
4
8
8
8
4
4
4
4
4
0
0
0
0
0
0
2
16
0
8
8
0
0
0
1
1
0
8
18
2
2
2
2
16
49
49
49
49
1
1
1
1
0
0
0
0
0
0
0
0
0
0
8
20
20
16
2
2
2
8
0
0
8
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
32
4
9
0
20
20
0
0
0
0
0
32
32
8
0
0
8
0
8
16
0
17
17
17
8
8
8
0
0
0
16
0
18
0
0
0
0
8
16
8
8
8
8
8
8
0
8
16
16
0
0
12
0
16
16
16
16
0
0
16
8
32
18
18
16
16
0
0
4
0
0
0
8
8
0
0
0
0
0
0
4
16
40
0
16
0
2
2
0
0
0
4
8
8
0
8
0
16
16
1
16
17
0
0
0
8
0
0
0
56
56
8
24
24
24
16
8
0
0
0
4
16
8
8
8
4
16
0
2
0
0
0
8
2
4
32
32
4
4
4
4
4
0
16
1
1
8
0
0
8
0
0
0
0
0
0
4
4
4
8
8
16
1
0
0
16
16
28
0
0
0
8
0
0
0
0
0
1
1
8
8
8
0
0
16
16
16
0
0
4
16
16
0
3
3
1
0
8
8
0
0
0
0
0
0
6
0
8
0
8
8
0
1
16
0
40
0
0
0
0
0
16
0
0
0
0
0
0
0
0
40
0
0
16
0
0
0
8
0
0
18
16
16
16
0
0
16
26
0
1
0
0
0
2
0
0
1
32
32
0
0
0
0
0
1
0
0
0
0
16
16
8
1
1
1
1
1
1
1
1
8
8
8
8
0
0
0
8
8
8
0
0
0
2
2
0
0
0
16
16
16
0
0
0
0
16
16
16
16
16
16
16
16
16
16
16
32
0
0
0
0
0
8
17
0
0
10
0
0
0
0
0
0
24
24
0
0
1
2
0
1
1
1
1
1
1
1
0
0
8
0
0
8
0
0
0
0
0
4
16
12
8
16
0
16
0
4
8
8
8
8
8
8
8
8
0
0
16
16
0
0
0
0
1
8
8
8
8
0
0
8
16
16
8
0
0
0
4
4
16
16
16
8
20
16
12
8
8
8
8
8
0
0
16
28
0
0
0
8
0
0
0
0
0
0
0
8
8
16
0
9
0
24
0
18
1
1
0
1
8
8
4
0
0
0
0
4
8
0
8
16
16
16
0
0
0
0
0
0
16
2
2
0
0
0
0
0
1
0
0
0
16
16
16
0
0
0
0
16
2
0
0
0
1
0
0
25
4
0
8
0
40
40
0
0
24
1
1
16
0
8
1
1
16
4
20
0
0
0
4
4
0
16
0
16
16
16
16
16
0
16
25
8
8
0
0
16
16
16
16
16
1
16
0
0
0
0
0
0
0
0
0
16
16
16
0
0
0
11
11
11
11
0
0
4
0
4
8
8
0
17
8
8
8
16
16
8
8
0
4
0
0
0
16
0
0
0
0
0
0
0
0
0
0
8
8
8
44
4
12
12
9
2
2
8
16
16
16
16
1
1
1
1
29
29
20
2
2
2
2
0
0
0
0
16
8
8
8
8
16
16
1
12
8
8
24
1
1
1
1
5
5
5
0
8
4
4
4
0
0
0
0
2
0
0
32
0
0
0
4
4
8
8
8
16
0
0
2
0
0
0
8
8
8
8
8
0
0
0
8
2
2
20
0
0
8
0
17
0
0
16
0
16
0
24
24
16
8
8
8
8
0
5
0
0
0
16
0
22
0
0
0
0
4
0
8
12
12
12
12
12
12
12
12
12
8
1
1
48
0
0
0
1
16
4
0
8
16
16
16
0
4
8
0
0
0
0
0
24
0
0
16
16
16
0
0
0
0
0
16
8
8
8
8
8
0
0
0
0
0
0
8
0
12
0
0
16
0
0
0
0
16
16
25
25
48
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
8
8
16
0
0
0
2
2
0
16
16
8
0
0
0
0
0
1
0
0
0
0
8
8
0
0
0
0
0
0
0
8
8
8
8
2
24
0
0
0
8
16
0
8
8
0
4
4
0
0
0
0
0
4
16
4
0
8
0
16
16
16
0
0
4
0
16
0
8
26
0
0
4
4
4
4
4
0
0
0
1
1
0
16
16
32
4
12
12
0
0
0
8
8
8
4
0
16
16
0
0
0
0
4
4
4
12
12
4
16
4
0
0
8
8
0
0
0
0
0
0
0
0
0
16
2
16
4
4
4
4
2
0
8
0
1
8
8
0
0
4
4
1
1
16
0
0
16
16
16
8
24
24
0
48
4
9
9
9
20
20
0
3
0
16
16
0
8
0
8
16
16
16
0
0
6
8
0
16
16
8
8
8
0
16
24
24
0
0
0
20
0
8
0
0
0
0
16
0
8
8
8
12
1
4
4
2
2
2
2
4
4
4
16
0
0
8
0
0
0
0
8
8
3
3
0
0
0
0
0
2
2
2
16
0
4
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
2
0
9
9
1
20
20
16
20
20
0
16
16
0
19
19
19
0
8
16
10
10
8
16
16
16
0
4
4
0
9
9
8
8
8
0
0
0
0
8
8
8
8
8
4
4
8
8
1
0
0
0
0
0
1
8
0
0
0
16
16
16
16
8
8
8
8
8
2
0
0
0
8
4
8
0
4
4
2
0
0
0
4
4
4
4
16
0
16
16
4
16
0
16
16
16
0
0
0
4
0
0
0
16
16
8
0
0
16
16
0
0
8
8
8
32
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
16
8
1
0
0
1
32
0
0
2
2
0
0
0
8
8
8
8
8
8
32
0
1
1
0
0
16
16
0
0
0
0
0
1
1
1
8
24
0
4
4
8
0
16
16
16
8
24
0
6
16
0
0
1
0
8
0
0
0
0
8
8
8
16
1
16
16
16
18
18
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
44
0
4
8
0
0
0
0
8
8
0
0
1
0
16
0
8
18
0
8
8
10
17
0
0
0
0
0
0
0
0
8
0
8
0
0
2
8
0
2
1
0
1
0
1
4
0
0
4
8
0
0
16
0
24
24
24
10
36
36
36
36
0
60
2
1
1
24
24
0
0
8
0
0
0
0
0
0
0
16
8
0
0
0
8
8
1
0
0
0
0
0
16
16
16
8
0
0
50
20
20
18
0
24
24
8
8
8
8
8
0
0
16
0
0
4
4
18
0
0
16
16
16
1
0
0
16
24
0
0
0
0
0
1
2
2
2
0
4
0
0
0
24
24
24
12
0
8
0
0
0
4
1
1
1
59
8
16
8
8
0
0
8
8
0
0
9
8
18
18
16
16
16
16
8
16
0
0
0
0
13
13
13
13
13
8
1
1
17
0
0
0
0
0
8
8
16
16
16
32
8
24
24
24
0
0
1
1
1
8
9
1
8
0
0
0
16
16
0
16
0
0
0
0
4
0
0
0
8
8
8
8
8
2
2
0
0
0
1
8
8
8
16
16
0
0
0
0
0
0
0
0
8
8
16
20
20
20
16
0
8
32
32
0
0
4
16
0
0
16
0
0
0
0
0
8
1
1
24
8
0
16
16
0
0
48
4
0
8
6
0
0
0
0
16
0
0
2
1
1
1
1
8
8
9
5
5
0
8
0
0
0
6
16
6
6
6
0
3
8
8
8
0
0
0
0
0
8
32
32
1
16
0
0
0
8
8
0
16
16
16
0
1
16
16
4
0
4
16
16
16
16
0
0
2
2
2
2
2
2
2
16
0
20
20
20
16
16
4
4
16
16
1
8
8
1
0
1
1
0
0
0
0
8
8
0
0
0
0
4
4
0
0
0
0
8
9
9
0
0
0
18
16
1
0
0
24
2
2
0
18
18
0
0
0
16
0
0
0
0
8
16
16
16
16
0
0
40
40
0
0
16
0
0
1
0
8
16
16
16
0
0
0
0
0
0
0
0
24
32
0
0
1
1
1
1
16
0
4
8
4
0
0
1
1
1
1
4
8
8
4
4
8
0
0
0
2
2
16
4
6
24
24
0
0
0
0
0
0
8
33
0
1
0
48
0
8
3
3
3
3
3
0
0
0
0
16
16
2
2
1
1
0
0
0
16
16
0
0
0
2
0
26
0
0
0
8
4
4
4
0
2
8
8
0
0
0
0
8
0
8
0
0
0
0
2
49
49
16
16
16
16
20
20
20
20
0
0
0
8
6
6
6
6
6
21
24
4
4
0
8
8
0
0
8
0
16
0
16
0
16
18
8
2
0
1
8
8
16
16
8
8
8
8
8
8
17
8
8
0
1
8
16
0
0
0
8
2
32
16
2
16
0
16
22
22
22
0
0
0
0
0
0
4
8
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
2
8
0
0
1
8
16
0
0
0
0
0
0
0
0
4
4
16
0
0
0
8
8
8
2
0
0
8
16
0
0
0
8
0
8
8
8
8
4
0
0
0
0
0
0
0
8
8
2
16
16
0
16
16
0
4
0
0
8
8
8
8
8
8
1
16
8
8
0
16
0
0
1
1
0
0
0
0
0
11
1
0
0
16
0
0
0
8
16
0
0
0
0
0
4
16
16
16
16
16
0
0
0
0
0
0
16
16
16
16
16
0
2
1
56
2
1
32
8
1
8
8
16
16
16
8
0
4
8
16
0
2
2
8
0
0
2
16
0
0
4
4
0
0
0
0
0
0
0
0
0
0
16
0
0
8
8
8
0
0
16
16
0
0
16
0
0
0
0
16
0
0
0
8
0
0
0
8
8
0
8
1
1
0
0
0
8
0
0
8
16
16
32
0
32
8
1
0
0
16
8
16
16
0
1
1
8
41
24
24
2
8
8
0
8
0
0
0
0
0
0
0
8
0
3
3
3
3
0
0
45
0
0
16
8
0
0
4
16
8
0
8
8
8
8
8
8
8
8
0
0
2
0
2
0
0
0
8
8
8
0
0
16
20
0
0
28
28
0
17
1
1
1
0
16
16
4
8
8
12
12
0
14
8
8
0
0
20
20
20
8
8
0
16
0
0
0
16
0
0
0
0
8
1
0
0
0
8
16
16
32
8
8
0
2
27
27
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
16
16
0
0
6
0
8
8
8
8
16
16
16
16
0
8
0
0
0
0
16
16
0
0
0
0
0
0
0
4
4
4
16
32
0
8
8
8
8
0
0
0
16
0
0
0
0
0
0
0
0
0
0
16
24
8
4
0
24
0
8
0
2
16
0
16
16
16
16
0
0
6
1
1
1
1
1
4
4
0
0
0
2
2
16
16
4
1
1
1
8
40
40
40
40
40
40
0
4
16
26
0
0
0
0
0
0
0
0
0
0
8
0
16
16
16
16
0
28
0
16
6
8
0
0
0
0
0
0
16
2
2
2
8
0
0
0
0
0
16
0
0
2
18
0
0
0
0
0
0
0
0
18
18
18
32
4
4
0
8
2
0
0
4
49
0
9
8
0
0
0
8
0
0
32
0
0
0
1
1
16
16
16
0
0
8
8
8
8
0
0
0
0
0
8
1
1
1
0
2
57
57
0
8
8
0
0
8
8
8
8
8
25
25
8
8
2
0
16
0
8
0
0
0
25
2
2
2
2
2
2
2
2
2
2
0
0
8
0
4
0
0
0
0
0
4
1
12
2
8
16
24
0
16
16
0
0
10
0
8
0
32
0
0
0
0
0
0
0
0
16
32
0
0
0
8
17
17
16
0
0
0
0
0
8
0
0
0
0
0
8
8
32
32
0
8
8
8
16
16
0
0
9
22
22
8
8
24
8
16
4
1
0
1
1
1
1
16
0
0
0
16
16
16
0
0
8
8
8
8
8
8
8
8
8
2
12
0
0
0
0
0
0
0
0
8
8
16
16
16
8
8
8
2
0
16
0
0
8
0
17
0
0
44
17
4
4
4
4
4
0
0
8
0
0
0
25
25
25
25
0
8
0
4
4
0
1
1
0
2
1
1
1
8
0
16
8
8
0
18
18
18
8
8
32
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
8
8
0
0
0
0
0
0
24
0
0
0
16
0
0
0
0
16
16
0
0
0
0
5
8
0
52
12
21
0
0
0
16
25
25
16
16
0
0
0
1
8
2
0
3
16
16
16
8
0
4
4
0
0
0
0
0
0
0
8
4
0
0
0
16
16
16
8
5
0
0
8
48
0
16
0
8
8
8
32
16
8
0
16
16
16
16
0
0
8
16
8
8
11
32
16
16
16
16
16
1
0
0
2
16
16
16
32
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
8
8
0
0
8
8
8
16
1
1
1
8
8
8
8
0
17
17
4
0
8
0
0
0
0
16
8
0
1
24
0
0
0
0
0
0
0
12
0
29
29
29
0
0
16
16
0
1
8
0
16
16
0
1
0
0
0
0
0
0
16
0
0
4
4
16
0
0
4
4
4
4
4
4
0
1
0
16
16
16
16
16
16
16
16
16
16
8
8
24
1
1
28
8
0
0
0
0
0
24
24
24
8
0
8
8
8
1
11
11
4
4
1
1
1
1
0
0
0
0
0
8
0
0
0
2
16
18
16
0
0
0
12
12
4
4
4
4
6
6
16
16
0
0
0
0
8
16
8
0
16
8
56
56
0
8
0
8
16
16
10
16
16
2
0
0
0
8
8
0
24
0
8
16
16
16
16
16
0
0
1
1
1
1
0
0
0
0
0
17
4
0
8
8
8
8
0
0
0
0
0
8
8
8
0
1
1
2
13
0
0
0
8
8
16
0
0
0
16
0
0
0
0
0
0
0
0
0
8
8
8
8
32
32
32
4
4
0
8
0
0
16
0
16
32
32
0
0
0
8
8
8
0
0
0
0
0
0
16
8
0
0
0
0
5
0
0
0
0
16
16
0
0
0
0
0
16
8
8
4
0
0
8
8
8
16
0
8
0
0
0
16
16
16
16
16
1
32
4
4
4
4
16
16
0
0
16
16
0
0
0
0
45
0
32
32
2
0
0
0
0
8
2
1
16
8
8
8
8
0
1
1
0
0
0
0
16
16
16
8
8
16
16
0
0
28
28
12
12
2
2
0
4
8
0
0
0
12
24
24
2
8
0
8
16
0
8
8
8
1
0
32
0
24
12
18
18
8
8
0
0
0
8
24
0
0
8
8
8
8
8
8
8
8
8
8
0
0
16
16
0
0
0
0
0
8
0
16
0
0
0
24
24
0
0
0
0
0
8
0
0
0
3
0
0
0
8
4
2
0
0
12
0
8
0
0
8
8
0
8
16
0
16
4
0
0
0
0
0
0
0
0
0
24
16
0
0
19
19
1
0
16
0
8
0
8
8
8
8
8
8
8
0
0
8
8
0
0
0
8
0
0
0
0
0
4
0
0
0
0
0
16
0
0
0
0
20
22
16
0
0
0
8
8
8
8
8
8
8
0
0
0
0
0
18
4
0
1
1
16
16
2
0
2
8
8
8
0
0
8
2
8
4
0
0
4
4
0
0
0
0
0
0
1
1
1
0
0
16
16
16
0
0
1
17
16
16
16
3
12
12
8
8
16
12
12
0
16
0
0
4
4
4
16
0
8
8
0
8
0
0
0
32
0
0
0
16
0
8
8
0
0
8
0
8
8
0
16
16
0
0
10
10
10
16
0
32
8
8
8
8
0
16
0
0
0
0
16
16
16
0
8
8
6
16
8
0
16
9
9
9
9
0
0
8
0
0
0
0
0
0
0
0
12
12
8
8
8
8
0
0
0
0
0
0
50
16
0
8
16
0
8
0
0
0
8
14
8
8
8
0
0
12
17
1
8
8
24
0
10
2
2
8
8
8
8
16
16
16
16
16
2
16
16
0
0
8
8
8
24
0
24
24
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
1
16
0
0
0
8
0
0
9
9
1
0
20
0
4
4
0
0
0
8
2
8
1
0
2
0
24
0
0
0
0
0
0
0
8
0
8
1
2
0
0
16
0
0
0
4
0
0
0
4
0
4
4
0
0
0
0
0
8
0
0
4
0
0
0
0
0
0
0
0
16
8
4
4
4
0
0
0
0
0
0
2
8
1
1
1
4
4
0
8
16
0
0
0
16
16
0
8
8
8
0
0
0
4
4
0
0
0
0
8
0
0
40
8
0
0
0
8
6
8
16
16
16
8
16
8
0
4
0
16
16
0
4
0
0
8
0
2
16
16
0
17
8
16
4
4
4
12
0
8
0
0
4
4
16
16
16
0
8
0
4
0
0
0
0
16
0
0
0
0
0
0
0
8
8
0
24
8
8
8
16
0
0
8
8
0
16
16
0
0
0
48
48
48
0
0
0
0
4
4
4
16
16
16
8
8
1
0
8
8
0
0
16
20
0
16
0
0
0
8
1
1
1
0
20
25
8
8
8
8
9
0
0
4
32
28
4
0
1
8
8
2
2
2
8
8
8
4
0
0
0
0
0
0
16
16
16
8
8
1
1
0
1
0
0
8
0
2
24
12
12
16
0
0
0
0
0
57
57
24
16
1
0
0
1
0
0
0
12
0
0
0
0
2
2
8
0
0
16
0
0
16
8
16
16
16
16
16
16
2
2
2
0
16
10
0
0
0
8
0
16
16
16
16
16
0
0
0
1
1
8
8
8
0
0
2
0
0
0
2
16
16
16
17
16
8
7
7
32
32
24
0
16
16
0
16
16
16
8
0
0
0
0
0
24
24
24
8
0
0
0
0
0
0
24
16
16
16
16
0
0
0
25
8
0
2
2
0
16
0
8
0
18
18
0
0
0
0
0
0
16
0
0
0
0
0
8
16
0
0
0
24
0
0
0
8
2
2
8
0
0
18
0
4
24
0
2
8
0
8
16
6
0
0
16
32
32
24
24
8
32
16
0
33
33
40
40
0
0
0
0
0
4
1
0
0
0
40
0
0
8
0
16
40
0
1
1
1
1
8
8
8
0
8
0
0
16
16
0
0
0
0
8
16
4
4
8
4
16
32
8
8
8
0
16
0
0
0
0
20
2
2
2
2
4
0
8
24
24
0
0
0
0
0
0
0
0
0
0
0
0
0
8
9
0
0
18
18
1
4
4
16
1
0
16
0
0
0
0
0
0
0
18
18
8
8
0
8
8
8
16
1
2
16
2
3
3
3
20
16
16
0
5
5
0
0
0
0
0
16
0
0
0
8
3
3
1
1
8
16
16
32
0
0
0
0
0
2
2
2
8
0
0
8
8
8
0
0
0
8
6
8
8
0
0
8
8
18
0
2
2
2
8
0
0
0
0
0
0
0
0
0
48
48
48
48
48
0
0
16
8
0
8
8
0
0
8
0
16
8
8
8
8
0
4
4
0
0
0
0
0
1
0
0
2
2
0
0
0
0
0
0
24
24
8
9
4
4
17
1
1
1
1
1
8
8
12
12
12
12
12
12
16
0
8
8
17
17
8
8
0
8
12
12
8
0
0
0
0
8
2
24
24
24
4
4
8
1
0
8
8
24
0
0
0
0
1
16
0
0
0
0
0
0
8
8
18
16
16
16
16
16
0
4
0
0
4
4
4
4
16
16
16
32
0
0
8
8
0
24
0
8
0
0
16
1
0
0
3
0
0
8
50
50
50
8
8
8
16
6
9
0
2
2
2
0
0
32
0
0
0
0
0
0
16
8
24
0
0
4
4
4
0
0
0
32
8
0
25
8
0
8
16
0
0
0
0
8
2
0
0
0
8
8
8
8
9
9
16
1
0
17
8
8
8
8
0
0
0
0
8
24
0
0
0
0
1
16
16
26
0
0
7
7
7
0
2
28
0
16
0
0
0
4
4
4
0
2
18
0
0
16
16
24
24
0
0
0
0
0
0
8
8
8
16
0
16
8
2
8
40
0
0
0
0
24
4
4
4
4
4
4
8
32
32
0
0
16
8
20
16
8
16
0
0
0
0
4
16
1
0
0
0
0
8
8
0
0
1
8
8
0
0
0
1
4
0
0
0
0
0
17
8
0
0
16
8
0
6
6
0
16
4
16
0
16
16
0
9
1
8
2
1
1
8
0
0
2
0
0
0
0
0
0
0
8
16
16
16
16
0
8
0
0
16
0
0
0
0
0
0
0
0
0
8
16
7
7
0
0
0
0
4
0
8
16
4
8
24
10
10
0
0
0
0
0
0
8
0
0
0
0
18
8
0
8
0
0
0
0
0
0
16
16
16
16
16
16
16
16
16
16
16
16
16
8
8
8
16
16
16
8
8
0
16
32
0
0
0
0
8
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
16
16
16
0
0
0
8
4
0
0
0
0
0
0
16
4
4
0
12
0
0
0
0
8
1
0
16
0
0
0
0
8
16
0
0
16
2
2
8
8
8
2
8
0
0
0
0
4
2
8
8
8
0
0
16
0
0
8
8
24
0
0
0
0
8
16
8
0
0
0
0
16
0
16
16
16
8
20
1
8
0
24
24
8
8
32
6
8
8
0
2
2
0
16
16
4
0
0
0
16
16
8
12
0
16
4
4
8
24
8
8
4
8
0
0
32
16
1
0
0
0
0
0
0
0
0
8
16
20
0
0
4
1
2
2
2
16
0
0
0
0
32
32
32
8
0
0
0
8
16
16
0
0
8
8
8
8
8
8
0
2
0
0
0
0
0
28
28
28
28
21
8
0
8
8
8
2
2
0
16
0
16
16
16
8
8
8
0
16
16
0
0
0
0
0
0
0
0
0
4
4
4
16
32
32
0
4
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
8
0
1
2
2
2
2
2
2
8
1
0
0
0
0
0
0
16
0
14
16
0
0
1
0
38
0
8
0
0
4
4
0
1
1
1
1
24
0
24
8
0
16
16
0
0
16
16
0
2
49
20
20
20
20
4
0
0
0
16
0
0
0
0
2
2
0
0
8
0
0
1
2
2
2
2
2
2
2
8
8
0
0
34
0
16
16
16
8
8
0
20
8
8
0
0
8
0
0
0
0
16
16
16
16
8
16
0
0
8
8
8
8
8
8
0
0
16
8
0
0
16
0
0
0
0
1
26
26
26
8
8
1
4
0
0
0
0
9
0
0
1
2
0
0
8
0
0
0
0
0
8
8
16
8
8
2
2
2
2
1
0
8
0
29
29
29
29
0
0
0
4
8
0
0
0
0
0
8
0
8
0
0
0
0
0
8
8
8
8
8
0
0
18
18
18
18
0
4
4
4
4
4
0
0
8
8
0
0
9
9
9
0
0
0
32
32
0
8
8
16
1
1
0
0
0
0
0
0
20
20
16
0
0
8
8
8
8
0
0
0
16
24
24
0
8
8
8
8
0
16
16
0
0
0
0
0
0
1
0
0
0
16
16
16
0
0
16
8
8
8
8
8
8
0
4
4
0
0
0
0
8
8
8
8
0
0
0
0
0
0
0
8
8
0
16
4
8
0
1
1
1
24
1
4
0
0
0
16
16
16
0
8
16
0
0
0
0
0
0
16
16
16
16
0
8
4
4
4
1
0
0
8
12
12
12
8
8
0
32
32
32
32
0
32
4
0
0
6
0
8
0
0
4
0
8
1
16
8
0
6
1
1
8
16
8
0
0
16
16
0
0
16
16
16
16
16
16
16
1
0
16
16
16
8
0
32
32
0
0
0
0
16
16
32
0
0
0
0
0
8
8
8
0
0
12
0
0
0
0
32
16
4
0
0
0
0
0
16
0
8
8
8
8
8
8
0
16
12
0
9
0
0
8
8
8
8
8
0
1
1
1
4
4
0
0
0
0
2
2
16
16
16
0
0
8
8
4
4
8
8
0
0
0
0
18
0
0
0
0
16
16
0
0
0
16
0
12
12
12
8
0
0
0
8
16
16
0
9
16
32
8
0
0
0
16
16
0
1
4
4
8
0
0
0
4
0
16
16
16
16
16
16
0
0
2
16
16
16
16
16
9
2
0
0
0
0
8
16
0
16
16
0
17
17
2
16
2
2
0
0
1
0
0
18
0
2
1
1
0
0
0
0
0
5
9
16
8
0
0
0
2
0
0
0
8
16
0
16
0
2
2
1
1
0
0
0
0
0
0
0
0
8
2
0
2
4
0
0
0
0
0
0
0
0
0
8
8
8
32
0
36
24
16
16
0
0
0
0
0
0
0
8
6
0
0
4
4
1
8
8
8
8
4
0
0
0
0
0
0
10
2
0
16
16
16
0
4
0
0
0
8
8
8
0
0
32
16
8
8
8
16
16
0
0
0
0
17
17
4
8
4
4
16
0
0
0
0
0
8
12
8
0
8
16
0
16
16
8
8
0
0
16
0
16
0
0
1
1
1
8
0
4
0
8
16
16
2
2
2
0
0
8
8
8
8
8
8
0
8
8
0
0
8
0
0
0
0
0
16
2
0
0
0
0
0
16
0
0
0
0
0
16
16
16
0
0
1
8
0
16
0
0
8
8
0
16
16
0
0
16
41
0
0
0
0
0
16
1
16
0
1
1
1
32
32
0
0
0
0
0
8
24
8
0
4
8
8
8
32
8
8
0
4
0
0
0
8
8
8
0
0
0
0
8
0
34
34
34
2
2
2
8
0
0
0
1
0
1
16
56
4
4
0
0
16
16
0
0
0
8
16
16
20
0
0
32
1
0
0
0
4
2
16
8
8
8
8
4
0
0
0
0
8
6
4
0
0
0
32
0
0
8
16
8
8
8
8
4
4
1
8
0
0
0
0
0
1
1
0
16
0
0
8
0
0
1
1
1
8
8
12
12
0
0
0
0
0
0
16
8
16
4
6
6
16
0
0
0
0
0
0
16
24
24
8
0
0
16
16
16
8
33
16
0
16
0
0
8
0
8
0
0
16
8
8
8
0
0
1
0
0
0
0
8
4
0
0
0
0
0
0
25
25
25
0
0
0
16
8
16
16
0
0
16
1
8
8
0
9
4
16
16
16
1
11
11
0
1
1
16
8
1
1
16
16
16
0
0
0
0
8
8
1
0
16
16
0
2
0
0
0
0
8
0
0
0
16
16
8
8
0
19
19
0
0
0
0
8
17
17
0
0
0
0
0
0
0
16
16
0
1
1
0
0
0
16
16
1
0
0
0
32
0
8
24
0
0
0
1
16
0
2
0
0
0
32
32
0
0
0
0
0
1
1
1
1
1
4
0
24
24
24
0
0
0
0
4
0
0
0
0
0
0
4
8
8
16
8
0
0
8
8
8
8
2
2
2
8
8
2
2
28
0
0
8
0
0
0
0
0
12
8
4
4
1
2
1
4
0
1
1
0
0
0
0
8
8
16
16
0
0
0
0
0
20
16
16
16
16
16
16
0
20
20
20
20
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
8
0
0
0
1
0
0
0
0
1
0
0
0
4
4
16
8
0
0
16
8
0
16
0
8
0
0
16
16
0
8
0
0
0
0
0
0
0
16
16
16
16
0
0
0
0
4
6
6
6
6
8
0
0
2
2
0
0
23
0
0
1
1
4
4
4
2
8
8
24
8
10
0
0
16
8
1
16
2
0
0
0
0
0
0
0
0
32
0
8
32
32
16
16
0
0
1
18
0
0
0
0
24
0
8
8
8
0
0
0
4
32
10
0
2
0
0
0
8
8
1
1
8
12
14
1
1
16
16
16
0
0
0
4
0
0
4
2
40
40
40
40
0
0
8
0
0
0
0
8
24
16
8
8
0
24
16
8
1
0
8
16
16
0
8
0
0
0
8
0
8
0
8
0
0
32
0
1
8
41
0
0
2
2
8
0
16
5
0
8
16
16
0
0
0
1
1
20
8
38
0
0
8
2
0
0
0
0
20
1
0
0
0
0
60
0
18
18
10
10
10
8
40
0
16
8
0
0
17
17
0
16
0
8
0
0
0
0
0
16
17
1
1
0
0
0
0
4
24
24
0
0
0
4
4
4
2
8
3
8
2
0
0
0
8
16
0
0
0
16
16
16
0
0
0
0
0
8
0
0
13
0
0
0
0
12
0
8
0
27
27
0
0
16
4
4
4
0
1
1
16
6
4
4
8
0
16
8
0
0
0
0
0
0
8
8
0
0
0
8
8
0
8
8
5
2
2
8
0
0
24
0
0
0
0
8
4
16
8
4
0
4
4
24
0
0
0
0
0
2
24
24
16
16
16
1
1
8
16
16
0
0
0
0
0
0
0
0
0
0
16
16
0
16
16
16
8
16
1
0
0
0
0
0
1
33
8
0
0
0
16
8
0
0
16
20
0
0
0
0
16
16
16
8
0
2
0
2
16
0
0
4
0
0
0
16
0
8
8
4
4
4
0
4
8
8
8
16
0
0
16
0
0
16
0
0
0
16
0
0
0
0
0
8
0
0
0
8
2
8
0
0
0
16
4
4
8
0
0
14
14
8
24
24
8
0
16
8
0
1
1
1
16
16
0
8
0
0
0
0
0
0
6
0
0
16
0
0
16
0
16
16
16
41
0
0
0
0
2
2
16
16
0
0
4
0
32
10
32
32
16
0
0
0
1
0
0
18
16
0
0
0
0
24
8
0
56
0
0
8
0
0
8
0
4
0
0
16
1
1
16
16
0
1
1
1
1
8
0
0
8
16
16
8
8
8
8
8
8
8
16
16
0
0
0
0
0
0
8
0
0
32
0
0
4
0
0
0
1
1
1
1
0
0
8
8
8
1
0
0
32
0
0
0
32
17
0
0
1
4
0
1
8
0
8
41
8
1
0
0
0
0
0
8
0
0
2
2
2
0
0
0
0
0
8
8
8
8
1
1
0
0
8
8
0
0
8
8
16
18
1
1
1
1
0
4
0
0
0
0
16
0
0
0
0
2
1
1
8
0
0
0
0
24
8
8
0
4
0
4
0
16
16
0
0
16
16
16
16
16
20
0
0
0
0
0
8
8
8
8
0
0
0
8
16
16
8
8
8
8
8
0
0
4
8
0
0
16
16
12
12
12
12
12
0
4
4
4
4
0
0
16
16
16
0
0
25
16
4
0
8
8
16
4
4
0
0
0
0
8
0
0
8
0
0
0
4
0
8
4
0
0
8
8
24
24
9
8
24
24
6
8
16
0
0
0
0
0
0
0
0
0
0
16
16
16
0
0
0
0
16
16
16
0
8
8
0
0
8
0
0
8
30
30
30
30
4
0
0
0
16
16
16
16
16
16
16
16
0
16
0
0
0
24
0
8
4
0
0
49
1
52
0
0
0
2
1
1
1
16
16
16
18
0
0
0
0
1
0
0
0
0
0
12
4
20
8
8
0
0
0
0
8
4
0
8
8
1
0
0
0
16
8
0
0
0
24
16
32
8
8
8
8
8
0
0
0
0
0
0
0
21
0
0
0
0
0
0
0
0
8
0
16
0
0
0
0
0
0
0
0
0
12
8
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
17
8
0
0
2
8
24
16
8
0
8
4
0
4
0
2
8
0
8
0
16
2
0
0
0
0
8
16
8
0
0
0
5
0
0
0
0
0
0
0
0
4
4
16
16
0
8
8
0
10
1
0
0
0
0
0
0
0
0
4
4
0
4
8
0
16
0
0
0
0
2
0
16
6
0
0
4
0
16
0
0
16
0
0
0
0
1
8
4
0
12
1
0
0
8
16
2
0
0
2
1
0
48
8
8
8
8
0
0
0
0
0
8
0
0
0
16
0
0
8
8
0
0
9
8
0
0
8
32
0
4
0
16
16
16
0
24
0
0
8
8
4
8
8
8
16
0
0
0
4
0
0
0
0
0
0
0
0
0
1
0
0
0
32
16
0
0
16
0
0
0
4
16
4
16
16
0
0
0
0
0
0
8
8
0
8
0
32
8
0
24
16
16
16
0
0
0
0
0
1
1
1
1
1
16
16
16
12
0
0
0
24
16
16
0
0
0
0
0
0
0
0
28
4
0
0
8
0
0
0
0
0
16
16
16
0
0
0
8
0
0
8
8
16
0
0
8
32
0
8
48
16
4
4
0
0
0
0
0
0
0
0
0
2
0
0
0
8
8
8
4
0
24
25
0
21
21
16
12
4
16
0
0
16
0
0
0
0
8
30
0
16
16
4
4
50
0
8
0
0
0
8
0
8
8
18
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
8
8
8
0
0
0
12
49
49
0
0
0
0
16
0
0
8
8
8
0
16
4
0
0
1
0
0
0
0
4
4
4
4
19
2
0
16
0
1
8
16
16
16
8
0
0
0
8
32
40
0
0
0
0
0
0
0
0
0
0
16
0
0
0
1
0
0
1
1
1
16
8
8
4
4
4
4
0
0
0
1
1
16
0
24
8
0
1
8
8
0
0
0
0
0
0
0
16
8
8
0
6
0
0
0
0
0
60
60
0
0
8
8
0
0
8
0
0
0
0
0
0
0
0
0
4
8
16
0
8
2
0
18
0
0
0
8
0
0
0
16
2
0
0
0
0
0
24
24
0
8
0
0
0
0
1
0
16
0
0
0
0
0
0
0
0
8
8
8
8
8
18
18
0
0
0
48
8
0
0
0
0
20
0
0
8
16
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
8
16
8
8
0
0
0
21
0
0
16
3
3
0
8
0
0
0
8
8
0
17
0
2
0
0
0
16
4
4
0
12
0
0
0
8
2
8
0
16
1
0
0
8
8
8
4
0
8
0
0
0
0
8
8
0
2
8
8
1
1
0
0
0
8
0
6
6
0
0
8
0
0
0
0
0
0
0
0
0
0
8
0
0
8
24
24
0
2
0
0
0
0
0
0
0
1
0
8
4
16
0
26
0
16
16
0
4
0
0
0
0
0
0
0
8
0
2
0
0
0
0
0
0
0
0
0
16
16
16
8
8
15
0
0
0
0
0
18
18
18
21
0
0
32
32
2
0
4
0
0
0
8
0
9
9
0
0
8
0
8
6
0
0
0
0
2
0
0
0
0
0
0
0
16
24
0
8
0
0
0
0
8
1
0
0
0
8
8
16
16
22
8
4
0
0
0
0
8
0
0
0
4
0
0
4
1
1
1
1
1
8
0
1
0
0
0
0
0
0
0
0
10
10
0
8
16
16
8
0
0
0
0
0
2
4
0
8
8
8
0
0
0
0
1
0
0
20
20
0
8
0
8
0
0
1
0
16
4
0
0
8
16
8
8
16
8
0
0
0
0
4
0
0
8
0
0
0
0
0
8
0
0
8
0
0
0
0
8
10
0
0
0
0
4
4
4
0
0
0
8
8
8
8
0
8
0
0
48
0
0
0
0
16
0
0
8
0
0
0
0
0
0
0
0
0
0
0
8
8
0
4
0
8
0
0
0
0
8
0
0
8
0
0
0
0
9
8
0
0
0
0
0
0
32
32
32
0
0
0
0
0
0
0
8
0
16
16
0
16
0
8
4
0
0
18
18
0
0
0
8
16
16
2
2
8
8
8
0
0
4
4
0
0
0
0
0
2
8
0
0
0
8
8
24
16
10
10
8
0
0
0
16
8
0
0
16
24
8
8
0
8
0
8
8
24
8
0
2
0
16
16
1
1
1
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
24
32
24
1
8
0
0
1
1
16
1
0
8
0
0
16
8
0
0
16
16
22
48
48
48
8
0
0
0
32
0
4
4
16
0
0
0
0
0
0
0
0
4
1
1
0
4
8
8
8
8
8
8
0
8
8
0
17
17
16
16
0
0
24
4
8
0
0
0
0
0
12
0
0
8
0
0
16
16
0
0
0
4
0
1
5
16
0
2
32
0
0
2
0
8
8
8
8
40
0
0
0
0
0
4
0
0
0
0
4
0
0
0
13
0
0
0
16
0
0
48
48
0
0
0
0
0
0
0
0
0
0
40
0
16
8
8
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
24
4
0
0
0
0
0
0
8
8
8
8
16
0
24
0
0
0
0
0
0
0
17
0
0
0
16
16
0
0
24
0
0
0
8
8
8
8
0
4
4
32
32
4
0
7
0
0
16
0
8
0
0
0
0
0
0
0
0
0
2
8
0
8
0
0
0
0
0
4
8
0
0
0
8
4
8
0
0
26
0
9
9
0
0
8
1
1
1
18
4
0
0
0
0
0
16
8
0
8
8
0
4
16
8
16
5
4
0
8
28
28
8
0
4
4
0
16
0
0
0
8
8
8
8
0
0
0
0
0
0
8
4
0
0
0
0
0
0
0
0
0
0
0
8
0
0
6
8
8
8
4
8
6
0
0
0
0
0
9
0
0
0
0
0
8
8
19
16
0
0
16
0
8
0
0
0
0
0
0
0
4
0
0
8
8
0
0
0
8
0
0
0
0
0
48
48
0
0
0
0
0
0
22
0
2
0
1
0
2
0
8
8
8
0
0
0
0
0
8
8
8
24
16
4
8
8
0
0
0
0
0
0
0
0
8
8
0
8
8
0
0
0
0
0
0
16
0
0
0
0
8
8
0
0
8
8
8
4
8
0
0
0
0
16
16
8
0
0
0
8
1
1
0
0
16
0
0
8
8
8
0
16
8
44
0
0
0
0
0
0
16
0
0
16
0
32
32
8
8
0
16
1
7
0
8
0
0
0
1
0
0
0
1
8
0
0
5
4
0
2
8
8
8
0
0
0
0
32
0
0
0
4
4
1
1
1
0
8
8
1
0
0
24
0
1
8
8
8
16
16
0
0
16
0
8
0
0
0
0
16
16
16
16
16
8
16
0
0
0
0
40
0
16
0
8
8
0
0
0
24
16
0
0
0
0
0
0
0
16
4
4
0
8
24
24
0
4
0
8
0
16
16
0
0
4
0
0
0
0
0
0
0
0
0
0
0
8
0
0
8
24
24
0
16
0
16
4
4
4
16
16
0
0
0
0
0
0
9
0
8
0
0
0
0
8
4
4
0
0
17
16
8
8
0
0
0
8
0
0
0
8
8
16
16
2
0
18
18
0
16
16
0
32
32
0
16
0
0
0
0
2
0
0
8
0
0
0
0
8
16
0
0
4
8
16
1
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
8
0
0
16
16
16
0
0
0
16
0
0
28
0
8
8
0
0
0
8
0
0
10
16
0
0
12
0
4
4
10
16
4
16
0
0
0
0
30
1
24
16
16
0
0
19
19
19
0
0
8
16
16
0
0
0
8
0
0
24
24
24
16
16
16
4
8
0
0
0
0
0
4
0
0
0
0
0
0
0
17
17
17
0
8
0
18
6
8
0
0
0
16
16
0
0
0
0
0
0
0
0
8
8
0
8
4
8
8
8
0
0
0
0
0
16
16
8
0
8
0
0
14
14
20
0
0
8
8
8
1
0
0
6
40
1
0
8
8
0
0
0
8
16
32
0
20
6
0
0
8
8
8
8
8
8
0
16
16
16
8
0
0
0
0
0
8
0
8
8
16
0
0
16
0
8
8
16
16
16
16
0
0
8
16
8
8
8
0
0
16
12
32
0
0
0
0
0
0
4
0
1
0
1
1
1
0
0
0
0
0
0
0
16
0
8
8
8
16
0
0
0
40
40
0
8
2
0
0
0
0
2
8
0
0
0
0
0
16
0
8
0
0
0
16
1
2
2
0
4
4
4
8
0
0
40
0
0
0
0
0
0
0
0
16
57
8
8
8
8
20
0
0
16
16
4
0
16
0
0
0
5
16
4
4
0
8
0
0
0
0
16
0
0
0
0
0
0
0
8
0
8
4
4
0
0
0
0
16
16
4
32
32
0
0
8
16
0
0
12
0
0
0
0
1
0
8
0
20
8
0
0
0
0
0
16
0
14
0
49
4
4
0
0
8
0
0
0
0
0
0
0
16
0
0
8
0
24
0
0
0
1
0
0
0
16
0
0
0
6
6
0
0
0
36
0
4
4
2
1
1
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
8
8
1
0
0
0
0
0
0
16
26
50
8
16
4
24
16
16
8
10
10
0
0
0
0
0
0
0
0
6
0
0
4
16
16
8
0
0
8
0
0
2
0
0
8
8
8
6
6
6
24
24
24
4
4
4
8
0
0
0
4
0
0
8
8
8
16
4
0
0
0
0
16
16
32
16
16
20
20
0
0
4
4
14
1
0
0
5
5
16
16
0
0
8
4
4
4
4
0
0
0
0
0
0
0
24
8
0
0
0
0
0
0
0
4
3
8
8
16
0
0
2
0
0
8
0
2
1
1
1
0
0
8
0
16
2
8
4
8
8
8
8
0
0
0
36
9
24
0
16
0
0
16
4
24
24
24
16
16
0
2
8
4
4
0
8
8
0
8
0
0
0
0
0
0
0
4
8
0
0
0
0
0
32
32
0
0
0
0
16
3
3
0
0
0
0
0
16
0
0
0
0
8
0
0
0
0
8
4
8
0
8
0
0
0
8
0
24
0
0
0
16
9
8
0
16
8
0
0
1
0
6
16
0
0
0
0
16
2
0
0
0
0
0
0
8
4
4
4
0
3
0
0
0
0
0
0
0
0
16
16
0
0
37
8
0
8
8
0
0
8
0
0
16
0
8
0
32
4
4
0
9
9
0
0
0
0
0
4
4
0
1
0
8
1
1
8
0
10
10
10
0
0
0
0
16
24
0
0
4
1
16
0
0
0
4
0
1
28
0
16
17
0
0
0
0
0
0
9
16
8
1
24
4
0
0
8
8
0
8
0
0
8
0
2
2
2
2
0
0
0
8
8
8
8
0
0
24
24
0
8
0
8
8
8
32
0
0
0
0
0
0
1
0
0
0
0
6
6
6
0
8
8
8
8
0
28
24
0
0
0
0
0
4
0
0
0
1
28
0
0
0
0
0
0
0
4
0
0
4
4
0
0
0
8
0
1
0
0
0
16
0
8
8
0
8
0
0
8
16
16
16
0
0
0
0
0
0
10
4
32
20
20
8
8
8
0
9
9
0
0
0
0
0
0
0
0
8
0
44
0
8
0
0
0
8
0
16
16
0
16
0
1
0
0
0
0
8
0
8
8
8
0
4
4
8
16
48
20
8
4
2
2
2
0
0
0
0
0
0
0
0
0
0
8
0
0
1
8
0
30
0
0
8
8
0
20
20
20
8
16
16
16
1
1
1
0
0
20
0
16
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
8
8
48
0
0
32
8
8
24
24
8
28
0
16
0
16
16
16
16
0
4
4
4
4
0
0
16
8
0
0
12
0
0
0
8
8
0
0
0
1
0
0
0
0
0
16
16
16
16
17
8
8
16
0
0
0
4
16
0
0
0
0
0
24
24
16
16
16
16
8
0
8
20
1
1
0
0
0
0
32
9
4
8
8
4
4
0
0
0
0
0
0
0
0
0
8
8
8
0
16
0
0
5
0
8
0
16
0
0
32
16
0
2
0
0
8
8
8
5
0
16
0
0
0
0
0
9
16
0
8
8
8
0
0
0
10
4
4
4
6
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
1
8
0
0
16
24
0
0
0
24
0
8
0
8
0
0
0
0
0
0
8
8
0
0
8
0
16
4
5
0
16
0
0
0
24
24
24
0
12
8
24
8
0
0
16
0
20
0
0
1
16
16
0
16
16
8
0
0
0
0
0
0
0
9
0
8
0
16
8
8
8
16
0
8
0
0
0
0
2
8
2
0
0
0
0
0
16
16
0
0
0
16
16
16
16
0
8
0
8
0
16
0
0
0
4
4
0
8
8
0
8
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
4
4
8
0
0
0
0
8
4
0
0
0
4
8
40
49
4
4
0
0
4
8
8
0
22
0
0
8
1
1
16
16
0
32
2
0
0
0
0
0
0
0
0
0
0
12
0
24
24
8
4
4
4
0
0
0
18
8
0
32
16
0
16
16
0
0
0
0
0
0
8
0
0
0
0
0
0
4
0
2
0
16
16
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
16
0
0
0
0
0
8
0
8
8
0
8
8
0
0
0
0
0
32
0
16
10
0
0
2
1
0
0
0
0
0
0
8
0
0
0
8
2
0
0
8
8
0
0
0
0
0
0
16
8
8
16
0
0
0
0
0
2
0
0
8
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
8
6
6
16
0
0
0
16
0
0
0
16
16
16
16
16
16
16
2
0
1
1
0
16
0
0
0
0
0
0
8
0
8
16
16
4
8
16
0
0
0
0
8
0
8
0
8
8
8
8
8
8
8
8
0
0
0
0
8
8
0
0
0
8
54
0
1
0
0
0
20
0
0
0
0
0
0
0
0
32
32
0
0
0
8
8
0
0
1
16
16
16
16
0
0
0
0
0
16
16
49
16
16
16
16
0
0
0
0
32
8
16
16
16
0
0
8
8
8
8
8
8
0
0
0
8
4
4
4
4
4
4
0
8
8
8
22
0
0
8
8
0
0
0
8
8
0
16
16
16
0
0
0
0
0
16
9
1
1
1
0
0
8
11
0
0
8
8
8
4
0
0
8
0
0
0
0
8
8
16
1
0
1
0
0
0
0
0
4
4
16
16
0
0
0
8
8
16
0
0
16
0
16
8
16
8
0
8
16
0
0
0
12
0
0
8
8
24
0
0
8
8
0
0
0
34
16
0
8
8
8
8
16
0
16
8
8
0
0
0
12
0
16
0
0
0
0
8
8
8
8
8
0
0
0
16
2
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
24
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
8
0
0
16
0
24
24
8
8
8
0
16
16
1
0
8
0
0
0
0
0
0
0
0
0
0
0
0
28
16
16
8
8
8
1
32
32
8
0
0
0
0
0
1
24
16
16
0
0
0
0
0
0
0
33
8
4
0
0
0
0
8
0
0
0
0
0
32
0
0
4
8
8
8
8
0
1
1
2
4
0
0
0
0
0
8
0
8
0
16
8
0
6
6
8
0
2
8
0
0
1
2
2
8
8
8
8
0
4
8
8
8
16
8
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
32
32
14
0
0
0
0
4
4
4
16
0
8
0
0
1
0
16
0
0
0
0
1
1
4
4
0
0
16
16
0
8
0
1
0
8
8
0
0
0
0
41
8
0
24
0
0
0
0
0
16
8
0
2
0
28
0
0
0
0
0
16
8
8
0
0
0
8
8
8
8
0
8
22
0
16
0
40
0
8
8
1
0
0
0
0
0
0
8
0
0
0
4
2
4
4
8
0
0
0
8
0
16
16
0
24
24
0
0
0
0
16
0
0
0
2
8
8
0
16
16
0
56
0
0
0
2
0
4
16
16
8
4
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
8
0
0
0
26
0
32
8
0
0
0
24
16
0
0
2
0
0
0
2
2
2
8
0
13
0
0
0
0
4
4
8
0
4
0
0
0
0
0
8
0
4
4
4
4
4
4
4
0
0
8
8
0
0
0
0
0
0
0
0
0
0
8
0
0
0
8
8
0
0
0
0
0
0
8
0
0
0
0
0
4
0
0
0
8
8
0
0
16
1
1
1
1
0
0
8
0
0
1
1
16
16
10
16
6
6
0
0
0
0
10
2
0
0
0
8
2
0
0
24
24
0
0
8
4
0
16
16
16
8
16
8
0
0
0
4
0
0
0
0
0
0
4
4
4
0
4
0
0
8
8
12
0
0
0
0
16
4
17
1
1
0
16
16
0
16
0
0
8
0
8
8
21
16
16
0
0
32
8
8
8
24
0
8
8
2
0
0
0
0
0
0
8
0
0
0
0
0
0
3
1
1
0
0
8
0
0
0
0
0
0
8
0
12
0
8
8
8
10
5
0
1
8
0
0
8
0
56
56
8
0
0
0
0
0
0
0
0
0
8
8
20
16
0
0
0
20
16
0
0
0
0
0
8
24
16
0
0
0
10
8
1
0
0
16
16
16
0
8
0
4
4
4
0
2
0
8
0
0
8
8
16
8
2
8
0
0
8
16
16
0
4
4
4
16
0
0
0
0
0
8
0
0
0
24
8
0
0
18
0
0
0
16
16
24
16
16
0
0
0
0
0
0
8
17
0
0
0
51
0
0
0
0
0
0
0
8
24
0
8
8
16
0
0
0
8
0
0
0
0
0
16
8
8
0
0
2
0
0
4
8
0
0
0
0
0
0
0
0
10
0
24
16
8
8
16
16
0
0
0
0
0
0
0
6
0
8
8
8
8
0
1
1
1
1
1
1
1
0
0
0
4
0
0
0
4
0
0
4
4
4
0
0
0
4
8
0
0
0
0
0
0
0
0
0
0
8
0
0
8
8
0
16
0
32
0
0
8
8
8
0
0
0
8
8
8
8
8
8
8
0
0
58
58
0
0
8
0
16
0
4
0
10
6
6
8
8
0
0
0
0
24
4
16
16
16
0
0
0
0
0
0
0
8
8
8
0
0
8
0
4
4
2
0
8
32
0
8
8
0
0
0
8
0
8
8
4
0
8
8
0
0
0
0
2
2
0
0
22
0
8
4
0
16
0
0
0
0
0
0
0
0
0
2
0
1
0
16
0
0
0
16
0
0
40
0
0
0
2
16
16
17
4
4
8
0
0
4
4
0
0
0
8
8
8
8
8
0
2
0
0
8
0
0
8
0
0
8
0
0
0
32
0
0
16
0
1
0
8
8
20
20
9
0
8
8
4
8
8
8
8
8
8
8
1
1
1
16
0
0
22
22
0
8
0
9
9
0
0
0
2
8
24
0
0
4
0
16
16
29
16
2
18
18
0
0
0
0
32
0
0
0
16
4
0
0
0
0
0
4
0
2
0
8
8
8
0
16
16
16
24
8
8
16
16
25
0
0
0
0
8
0
16
0
0
0
0
2
2
0
0
2
8
0
4
0
0
0
0
0
0
8
0
24
0
0
0
0
0
1
0
0
0
0
0
0
0
16
10
16
16
8
0
8
16
16
0
0
8
8
8
1
1
24
0
0
8
0
0
0
8
0
0
0
0
0
0
4
16
8
16
16
0
0
1
1
16
9
0
8
8
8
0
0
0
16
0
0
2
2
0
5
0
0
0
0
2
2
2
24
0
0
8
16
0
0
0
0
8
0
8
1
0
0
8
8
0
0
8
0
0
16
16
4
4
4
16
16
8
8
8
8
8
0
0
0
2
8
0
8
20
0
10
10
6
0
8
8
0
1
24
0
0
0
0
8
0
8
0
8
0
0
0
8
8
0
2
0
0
0
0
4
0
1
1
0
8
16
16
17
17
1
1
1
8
8
17
2
16
16
0
0
16
16
16
24
0
0
0
16
0
8
8
8
13
8
0
0
0
0
0
0
0
0
8
8
16
14
0
8
6
16
8
8
8
4
0
32
0
0
0
8
0
0
0
8
16
0
0
32
40
0
24
0
0
8
8
0
0
0
0
0
0
0
0
0
0
56
0
0
16
0
8
0
21
8
0
0
2
8
8
0
0
4
0
0
32
0
0
0
0
0
2
18
18
18
0
0
16
16
0
16
0
0
0
0
16
16
0
0
0
0
0
0
4
8
8
8
16
2
0
0
0
4
0
4
0
0
0
0
0
0
0
0
2
16
0
8
16
0
0
8
0
8
8
8
8
8
0
0
0
16
16
18
16
4
4
8
0
16
0
0
8
42
0
0
0
0
16
8
8
8
8
8
0
0
0
4
4
24
0
18
0
16
0
8
8
12
0
8
8
1
0
0
0
0
8
0
0
0
0
0
0
8
0
8
8
16
16
16
16
8
0
0
0
8
8
0
0
0
0
2
16
4
0
0
0
0
8
0
12
0
0
0
0
40
40
0
8
17
17
0
0
0
0
0
8
1
1
1
1
32
16
16
0
8
2
0
24
16
14
0
0
4
4
16
0
0
0
4
5
8
4
4
0
0
12
0
0
8
0
8
0
0
0
0
8
4
0
4
8
8
8
0
0
0
0
0
0
0
0
0
24
8
0
0
30
0
0
8
0
0
0
0
0
0
2
16
0
0
0
0
8
32
32
8
8
8
0
0
0
24
24
24
8
0
1
0
4
0
18
18
0
0
8
0
0
1
20
0
0
11
11
12
12
4
9
9
9
0
0
0
0
8
0
16
0
8
8
0
0
0
0
0
0
0
0
0
0
4
4
0
20
20
20
1
0
0
0
0
8
0
0
0
0
0
44
44
4
0
0
1
16
0
0
0
0
0
0
8
8
8
4
0
0
0
0
9
9
0
8
0
0
0
0
0
0
0
0
1
2
0
0
0
60
8
0
0
0
0
0
0
0
0
20
16
8
19
0
0
1
0
0
0
0
16
0
0
8
3
0
0
30
0
0
8
0
4
4
8
0
4
4
4
0
0
3
3
8
0
16
16
0
0
8
0
8
0
8
8
8
0
0
8
28
28
16
0
16
0
0
0
0
0
32
0
8
0
16
0
8
0
0
0
0
0
24
4
4
4
4
0
24
0
0
0
0
0
0
0
8
0
0
8
16
32
16
0
0
8
0
0
0
8
0
0
2
8
0
16
0
0
0
8
8
8
8
8
9
17
17
0
16
16
0
0
16
0
16
16
16
16
0
0
17
17
17
17
0
0
0
0
0
32
0
0
32
0
16
16
16
0
0
0
0
2
2
2
16
16
4
32
32
32
8
8
0
4
0
0
0
8
0
17
0
0
16
0
0
0
0
16
0
8
16
0
0
24
24
0
0
0
16
8
0
8
8
0
0
0
4
0
0
16
2
0
0
0
0
0
8
0
0
24
0
0
0
0
0
0
16
0
0
26
0
0
0
16
0
0
0
8
8
8
8
8
16
0
0
0
16
16
16
0
0
0
0
8
8
8
8
1
0
16
16
0
8
32
0
0
16
0
0
18
24
24
0
4
0
0
0
0
8
16
8
10
40
0
0
0
8
8
9
0
0
0
1
1
1
6
6
6
6
4
24
0
0
0
0
16
16
2
2
2
0
9
9
4
0
8
17
17
1
1
0
0
0
0
16
0
4
0
0
8
0
0
0
6
24
0
0
0
16
0
1
16
0
0
0
8
0
0
0
4
6
0
0
0
16
3
0
0
8
0
0
0
0
0
0
2
2
8
16
0
0
8
8
4
0
0
4
0
0
0
0
4
0
0
8
0
33
4
0
0
0
0
0
0
0
16
0
16
16
16
24
0
8
8
0
0
0
8
16
8
56
8
0
0
0
0
0
0
16
16
0
1
8
8
0
0
8
0
0
0
0
0
0
5
5
0
0
0
5
5
0
0
0
0
8
0
0
0
0
0
0
1
0
0
0
0
40
0
0
8
16
16
16
16
16
16
16
16
0
0
0
0
16
24
0
0
16
16
16
8
0
0
33
33
16
8
8
8
8
0
0
9
2
0
1
0
16
8
0
1
1
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
4
4
0
4
0
0
16
16
8
9
0
0
0
0
8
0
8
8
16
0
0
0
0
16
40
0
0
0
1
8
16
0
34
0
0
1
1
8
8
0
0
8
0
14
0
0
1
8
8
0
9
8
8
0
32
32
32
0
0
0
8
30
4
0
0
0
8
0
0
2
2
0
0
0
0
0
0
0
0
0
0
4
8
0
0
0
0
0
0
3
2
2
2
0
2
0
0
2
0
0
0
0
0
8
8
0
0
0
0
0
1
0
8
0
0
8
0
0
0
0
0
0
0
8
8
0
1
0
0
0
0
0
4
2
0
0
0
0
16
8
8
0
0
20
0
0
0
0
0
24
0
0
0
8
0
16
16
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
17
17
1
0
4
0
0
0
8
2
0
0
0
8
0
22
6
8
8
8
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
8
0
0
2
0
0
0
0
0
0
0
0
0
0
0
8
0
0
24
0
18
16
0
0
8
0
23
23
23
8
8
8
1
1
0
0
0
0
0
4
4
0
0
0
0
8
0
0
2
24
16
0
0
0
0
0
0
0
4
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
8
1
0
0
0
0
0
0
0
0
0
0
0
0
8
4
0
0
17
0
0
16
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
8
0
0
4
0
0
8
8
8
0
0
8
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
8
8
0
0
1
8
0
0
0
20
0
0
0
0
9
18
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
16
0
0
0
32
0
0
2
0
8
0
0
8
0
0
24
24
0
8
8
8
0
0
1
0
0
8
0
0
0
0
0
0
0
0
8
0
0
0
56
2
4
0
0
0
0
0
0
0
0
0
0
2
40
0
0
18
18
0
0
0
0
0
4
4
4
4
4
0
0
0
0
8
0
0
0
0
0
1
0
0
0
0
16
4
0
4
0
0
0
0
0
0
0
2
2
2
0
8
8
0
0
0
0
0
0
0
0
0
16
16
8
8
0
8
0
8
0
0
0
0
0
0
0
0
0
0
0
16
0
1
0
0
0
0
0
8
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
16
16
32
32
32
32
0
0
0
8
8
8
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
32
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
0
0
0
0
0
8
8
8
8
8
8
8
0
0
8
8
4
0
0
0
4
0
0
19
0
0
0
0
8
8
0
0
0
0
0
1
0
0
0
0
0
16
16
16
16
16
16
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
20
0
0
0
0
0
0
0
0
1
0
0
0
24
24
24
0
0
16
0
0
0
0
0
0
0
0
8
0
8
0
0
0
4
0
0
0
0
0
0
8
8
8
16
16
0
0
0
0
0
0
8
8
8
38
0
0
0
4
1
16
0
16
0
0
0
0
0
0
0
0
0
0
16
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
24
0
0
0
0
0
8
8
8
16
16
0
8
0
0
0
0
0
0
0
0
16
0
0
6
0
0
4
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
4
0
8
0
2
0
0
0
8
0
0
0
9
0
0
0
0
0
0
0
0
32
32
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
8
1
8
0
0
0
16
0
16
0
0
0
16
16
0
16
0
0
0
0
0
16
0
8
8
0
0
0
0
0
0
0
0
0
24
24
0
8
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
16
0
0
2
0
0
56
0
0
8
8
0
0
0
8
8
8
8
0
0
24
0
0
0
0
0
1
0
0
8
8
0
0
8
8
0
0
0
0
0
16
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
8
8
0
0
9
16
0
0
0
0
0
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
3
0
0
0
0
0
0
16
16
4
4
4
4
4
4
0
0
0
2
0
1
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
3
0
1
1
0
0
0
0
0
8
0
0
16
0
2
0
16
0
0
0
0
4
4
0
0
0
20
0
0
0
0
0
0
20
24
0
0
0
0
1
1
0
0
0
0
0
0
0
0
8
8
0
0
0
40
0
0
0
24
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
6
0
0
0
0
1
9
0
0
0
0
8
0
0
0
0
0
0
0
0
0
2
0
0
2
0
0
0
0
0
0
0
16
16
1
0
16
16
8
8
16
32
28
0
0
8
0
8
0
0
0
0
0
0
0
0
8
0
0
0
16
0
8
8
1
0
0
1
0
0
0
0
16
0
0
0
0
0
16
6
6
0
0
0
0
0
0
0
0
0
36
0
0
20
0
4
8
8
16
16
8
0
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
0
0
0
0
0
0
0
0
0
0
0
16
16
16
8
8
1
1
0
0
0
0
0
0
0
0
0
16
16
16
0
0
0
0
0
0
0
0
0
0
16
0
8
0
0
8
0
0
0
16
0
0
0
0
0
0
0
0
0
8
0
0
0
0
2
2
0
0
8
0
8
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
44
0
12
0
13
0
0
0
8
8
0
0
0
0
0
0
0
8
0
0
0
0
16
8
4
0
0
0
0
0
0
8
0
8
0
0
9
1
1
0
8
0
0
0
0
0
0
0
0
1
1
52
52
0
0
0
0
0
9
0
2
2
0
0
0
1
0
4
0
0
16
0
0
0
0
0
8
0
0
0
0
0
0
16
16
16
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
17
0
0
8
0
0
0
0
16
16
16
16
16
16
17
0
0
24
0
4
0
0
0
0
0
0
8
0
0
0
0
8
8
49
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
8
8
0
0
8
4
8
4
0
4
0
0
2
2
0
0
0
24
0
0
1
8
0
0
0
4
0
0
8
4
0
16
16
0
8
8
0
0
8
0
0
0
0
0
0
0
0
8
8
8
8
8
8
8
8
0
0
0
0
8
0
0
0
0
0
0
0
0
4
0
0
0
0
24
0
0
0
0
0
0
0
0
16
0
8
8
0
0
0
0
0
16
0
0
0
0
9
0
0
8
8
8
0
8
0
0
12
4
0
0
16
2
0
0
8
0
16
0
16
25
0
0
4
0
0
0
0
0
16
0
0
16
0
4
8
0
0
0
0
0
0
0
0
0
16
42
0
16
0
0
0
0
16
0
0
0
0
6
6
0
0
0
0
0
0
0
0
16
2
2
16
13
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
60
0
16
0
0
0
19
0
1
16
0
0
0
9
16
0
0
0
0
0
0
0
0
0
0
0
12
0
0
0
0
4
0
0
0
0
0
0
0
24
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
16
0
0
0
8
8
8
8
2
0
8
0
16
0
0
0
0
2
0
8
8
4
0
0
0
0
0
0
16
16
4
16
0
5
0
16
16
16
0
0
0
8
8
0
0
0
0
8
7
7
0
0
0
4
16
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
4
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
20
0
0
8
0
0
0
0
0
0
0
8
16
0
0
0
0
0
4
0
0
4
0
0
0
16
0
1
1
1
0
0
0
0
0
0
0
0
28
0
10
4
0
0
0
0
0
12
0
0
0
0
0
8
0
0
0
0
0
0
0
8
0
2
0
2
0
0
0
0
8
0
8
0
1
1
0
8
4
4
0
0
0
2
2
2
16
16
0
0
0
16
0
0
16
16
16
0
16
0
0
0
0
0
4
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
16
0
0
0
0
4
0
0
16
0
0
0
8
8
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
8
0
5
16
16
16
0
16
0
8
8
8
16
24
8
0
0
0
16
0
0
0
0
8
0
8
0
0
0
0
16
4
0
0
0
0
8
0
6
0
0
16
16
0
18
16
0
0
0
0
0
0
0
0
2
0
0
0
24
0
0
0
0
0
0
18
0
0
0
0
0
16
0
0
0
0
16
16
16
0
2
2
2
0
0
0
8
0
0
4
12
0
0
0
0
0
0
0
0
0
0
0
8
0
32
0
0
0
0
0
0
0
2
16
8
8
8
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
8
8
0
24
0
0
16
0
0
0
0
0
12
0
1
17
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
48
0
0
0
0
4
8
8
0
0
0
0
0
0
0
12
0
2
0
0
0
0
0
0
33
33
33
33
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
8
8
0
0
8
16
0
0
0
0
0
16
20
0
0
0
0
8
16
4
4
0
0
0
0
0
24
24
4
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
1
0
0
0
0
12
0
0
8
0
0
0
0
6
59
24
16
4
0
0
0
0
0
0
0
0
3
8
8
0
0
0
0
0
0
0
0
0
0
0
3
8
0
0
16
24
0
4
0
0
12
12
0
8
8
0
0
0
0
0
0
0
0
0
0
8
8
8
0
16
0
0
0
0
0
12
0
0
0
0
0
0
0
0
0
2
0
0
0
0
2
2
0
0
0
0
0
0
6
0
0
0
0
0
0
8
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
20
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
8
8
0
0
0
0
0
17
0
0
0
4
1
16
16
16
8
8
8
0
8
8
0
0
0
0
0
8
8
8
8
0
16
16
0
0
0
0
0
0
2
0
0
0
0
0
8
8
8
0
0
8
8
16
0
4
0
0
0
0
24
0
0
0
0
0
8
4
4
0
0
4
8
0
0
0
0
0
8
8
0
0
0
0
0
4
0
8
0
0
1
16
2
0
0
0
8
8
8
8
0
0
16
0
0
8
8
0
0
8
8
0
0
0
0
4
4
4
4
4
4
4
4
4
30
30
0
0
0
1
0
0
0
8
8
0
0
0
0
0
4
4
4
0
0
0
0
8
0
9
9
20
0
4
4
0
25
25
24
8
9
0
8
8
1
8
0
0
0
4
0
0
0
0
0
0
0
28
28
0
0
0
8
8
8
8
0
4
0
16
8
8
0
0
0
0
0
16
16
0
8
0
0
0
0
0
0
0
8
8
1
0
0
0
0
8
0
0
8
0
8
32
16
16
1
16
2
28
4
4
4
16
0
0
16
0
0
0
24
0
0
16
16
16
4
24
0
16
0
16
0
24
0
0
16
16
16
16
0
0
0
0
0
0
0
8
8
8
0
0
0
16
16
16
0
16
16
16
0
8
0
16
0
0
0
0
0
0
8
16
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
16
0
0
0
0
0
2
8
0
0
0
0
0
0
0
8
1
0
0
0
0
0
0
0
0
0
0
0
0
0
5
8
2
16
24
8
0
8
16
20
0
0
0
4
4
8
0
0
0
8
16
16
0
0
0
8
0
2
8
8
12
0
0
16
16
16
0
24
2
8
16
8
8
0
8
8
0
0
0
8
8
1
0
16
40
16
8
8
16
0
0
8
1
1
0
0
10
0
0
0
16
0
0
0
0
8
0
8
8
8
8
8
8
0
0
16
16
0
6
6
8
0
0
0
0
4
4
2
0
0
8
8
20
0
0
8
0
0
0
8
16
0
24
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
8
8
8
8
8
0
0
0
0
0
0
0
4
4
4
0
0
8
8
8
0
0
0
0
8
8
8
0
0
0
8
0
4
8
0
0
8
0
0
20
32
0
0
0
8
0
0
0
0
8
0
0
4
0
16
16
16
0
0
0
0
0
0
8
0
0
0
0
8
4
4
0
0
6
0
4
0
16
8
0
0
0
0
0
0
0
4
4
0
49
3
2
2
8
24
24
0
16
0
0
0
0
0
16
16
2
0
0
16
16
8
24
24
0
0
0
0
4
0
0
0
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
0
16
16
8
8
0
8
8
16
16
0
16
9
9
0
8
12
1
1
1
8
1
16
4
4
0
4
0
1
0
0
0
0
8
0
0
0
0
0
0
3
16
1
1
0
0
4
0
16
16
16
4
4
0
1
1
16
16
16
17
17
0
0
40
19
0
0
0
8
8
8
0
4
0
0
0
0
0
0
8
0
0
0
0
0
0
16
0
8
2
2
2
0
8
0
8
4
0
0
1
0
0
32
16
0
1
1
1
1
18
0
0
0
0
0
0
0
0
4
4
0
8
16
9
1
5
0
0
0
0
2
2
16
4
0
0
0
8
8
16
0
8
16
16
16
2
2
0
0
0
0
0
4
8
8
0
0
0
0
0
0
24
24
24
2
2
0
0
0
0
8
0
0
0
32
0
0
16
16
16
0
0
0
8
0
0
0
0
8
8
8
0
0
8
0
0
0
0
0
0
0
8
8
8
0
0
0
0
18
8
8
0
0
0
8
0
8
8
1
8
8
1
0
0
0
0
0
0
4
0
24
0
0
8
16
1
16
0
0
18
0
17
4
4
8
0
0
8
0
8
8
0
1
0
0
12
0
16
8
16
0
0
0
0
8
0
0
20
4
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
36
36
0
0
0
0
0
1
0
24
16
0
0
0
4
16
0
4
4
1
8
0
0
16
0
8
8
8
16
0
0
16
16
1
0
4
0
0
0
8
0
0
25
9
8
0
0
0
0
8
16
0
0
0
0
12
0
8
0
0
16
16
0
24
24
4
0
4
0
0
0
8
0
16
16
4
4
4
4
4
0
8
0
0
1
0
1
0
0
0
0
0
8
16
0
8
1
0
24
16
0
0
0
8
1
1
16
0
0
8
0
0
0
0
0
0
0
0
8
0
0
0
48
0
0
0
33
33
8
8
0
0
16
0
24
24
2
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
8
0
8
0
8
0
24
0
0
0
0
0
0
0
16
0
8
0
8
8
8
8
8
0
0
29
8
8
0
0
0
16
20
8
8
8
0
0
8
0
0
0
0
24
0
0
4
0
8
0
0
0
2
0
8
0
0
0
16
16
4
0
0
8
0
0
0
0
2
0
8
16
16
0
0
0
0
0
1
24
16
16
4
0
1
4
8
8
3
0
0
0
8
8
8
4
16
16
0
0
8
0
4
0
0
0
0
16
1
1
0
1
0
0
0
0
0
0
0
17
17
8
0
8
0
0
8
24
0
0
0
0
0
37
0
0
0
0
24
18
18
18
0
0
0
0
16
0
0
57
0
0
0
40
40
0
4
0
32
0
0
4
4
0
16
16
0
0
0
0
0
16
0
0
56
0
0
32
25
0
8
8
0
8
16
1
33
33
8
8
0
0
16
16
8
8
4
8
0
24
24
23
0
0
0
0
0
8
8
8
8
8
0
0
0
0
0
8
8
0
0
8
8
0
0
0
0
0
0
8
0
0
0
0
16
16
16
0
0
0
0
48
0
1
0
1
8
8
8
0
2
0
0
16
0
0
0
8
8
0
8
0
8
0
0
0
0
8
16
6
6
2
0
0
0
0
40
0
0
4
4
4
4
0
0
16
0
4
0
8
0
0
0
0
16
16
0
0
0
0
0
0
0
8
8
17
8
8
8
8
0
1
17
17
0
0
0
0
0
0
0
16
0
0
0
0
0
48
0
0
0
0
0
0
0
0
0
2
18
8
0
27
0
0
0
0
0
0
0
0
20
8
8
16
16
16
0
0
0
0
0
0
0
0
8
24
24
0
0
0
0
0
0
0
46
46
8
0
0
0
24
8
0
0
1
2
22
0
0
0
0
0
0
4
2
0
0
4
16
0
22
2
0
0
0
0
0
0
0
0
8
0
0
0
16
16
16
16
16
16
16
0
0
0
0
8
24
32
1
0
8
0
0
0
0
0
48
3
0
0
0
0
4
4
8
8
8
24
4
0
8
0
0
0
0
0
2
8
0
1
8
8
20
0
0
4
4
0
2
0
0
0
0
8
4
4
16
16
16
0
0
8
4
4
1
16
16
8
48
0
0
0
0
0
0
4
4
4
4
0
33
33
8
1
0
0
8
24
0
8
0
0
0
0
0
8
8
0
0
0
0
0
0
2
0
0
1
0
16
16
5
8
0
0
0
0
0
0
16
16
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
4
0
8
0
8
0
18
18
0
8
8
4
0
0
0
8
0
0
0
20
8
8
8
8
0
16
16
0
1
8
16
0
0
8
16
16
0
0
0
0
8
9
9
0
1
16
8
8
1
0
0
16
8
0
0
0
0
8
8
8
8
8
8
0
0
20
20
0
0
16
16
16
16
16
0
0
0
8
0
0
0
4
2
8
0
0
8
0
0
0
0
48
0
0
0
0
4
4
0
2
8
8
8
8
0
8
48
5
4
2
16
40
0
0
0
0
0
8
8
0
0
3
0
8
4
0
4
0
0
6
0
16
0
0
4
1
1
0
0
0
0
0
4
4
0
0
1
0
8
0
0
2
8
32
32
18
8
0
0
0
0
0
0
0
0
0
0
0
48
0
0
0
24
0
0
8
0
0
0
2
0
0
2
0
24
24
24
0
0
0
0
0
0
0
2
8
8
8
12
0
2
3
3
18
8
0
0
8
0
0
0
0
0
0
0
0
0
0
16
0
0
0
8
0
16
4
0
0
0
0
0
0
0
0
0
0
16
0
8
0
16
16
0
0
0
2
2
4
8
0
0
8
8
8
24
0
0
25
8
8
8
0
16
16
1
0
0
0
0
2
0
8
0
0
8
0
8
1
8
8
8
0
3
3
3
0
0
8
0
0
0
0
16
16
0
0
4
0
8
8
0
0
0
0
0
0
0
0
0
0
8
4
0
0
0
0
0
0
0
0
0
24
0
0
8
8
0
0
16
8
0
16
16
0
0
24
0
0
32
0
0
0
1
0
16
0
0
17
17
4
0
0
1
8
0
0
16
0
2
0
0
16
16
0
0
0
0
0
4
4
0
0
0
0
0
0
0
0
0
0
24
24
0
0
0
0
1
44
44
4
4
0
0
0
0
0
16
8
8
8
8
0
8
0
16
0
0
24
0
0
8
0
0
16
0
48
0
0
0
0
8
8
8
8
0
0
8
1
8
8
2
0
0
0
8
0
0
8
0
16
0
0
0
0
0
8
0
0
54
0
0
0
0
0
0
0
8
0
8
8
0
0
0
0
0
0
8
8
0
4
0
0
8
16
0
0
0
0
0
16
0
8
0
0
0
2
2
16
16
0
16
1
1
8
0
4
0
0
0
0
0
0
0
0
8
2
2
0
0
0
16
8
8
0
0
0
0
0
0
24
0
8
4
12
0
0
0
0
0
0
0
0
0
4
0
8
8
16
0
0
8
0
8
8
4
2
2
8
0
0
0
2
16
16
16
8
0
0
8
4
2
1
0
0
0
0
0
0
0
16
0
40
0
0
0
8
10
16
0
0
0
0
0
8
0
16
16
8
0
0
0
0
0
0
16
1
8
8
0
0
4
0
8
8
8
16
24
24
24
1
1
0
0
0
2
0
0
8
0
0
0
0
0
4
4
0
16
0
0
0
16
4
1
16
16
0
8
16
8
0
32
0
0
8
0
1
1
0
0
0
8
8
0
0
0
0
8
16
0
0
8
8
0
2
2
2
4
0
0
0
48
48
0
8
0
0
4
16
17
17
17
0
8
8
8
8
16
0
0
8
24
8
0
0
0
16
0
8
8
0
0
0
0
0
0
0
8
0
4
0
16
0
0
1
0
0
0
0
16
0
0
0
0
0
8
26
24
0
0
4
8
16
4
4
4
0
0
0
0
8
8
2
16
4
0
0
0
8
8
0
0
0
20
0
8
32
0
0
0
0
8
0
0
0
0
0
0
0
0
0
8
0
0
8
0
0
4
4
0
17
8
0
1
2
0
0
0
0
9
9
0
0
8
16
16
0
8
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
31
0
4
4
4
0
8
8
8
1
1
4
8
0
8
8
0
6
0
0
0
0
0
0
0
8
22
22
16
0
4
0
20
0
0
0
0
0
0
0
0
0
8
8
8
8
8
24
40
0
0
0
0
40
40
32
0
16
0
0
16
16
0
8
8
0
0
8
4
8
0
0
41
41
16
0
0
8
0
0
0
0
32
0
0
0
0
0
24
24
0
0
0
0
0
4
8
8
2
8
0
0
0
18
16
0
0
8
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
24
20
20
0
0
16
16
16
0
0
0
0
8
0
0
0
0
0
24
24
0
6
0
0
16
16
0
0
0
0
0
0
0
0
16
0
0
24
4
49
0
8
8
8
8
8
8
1
4
0
0
0
0
0
0
0
0
0
8
8
8
0
8
0
4
16
0
0
0
8
0
16
8
8
8
8
26
26
26
0
0
8
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
16
0
0
0
1
0
0
0
0
0
0
0
3
0
0
2
2
0
24
8
16
4
8
8
0
0
0
0
0
4
0
0
0
0
0
4
0
0
0
0
16
0
2
8
4
0
0
0
0
0
0
0
8
0
0
8
8
2
12
0
0
0
20
22
20
20
20
20
20
0
0
0
0
0
0
0
0
0
0
8
0
8
0
0
24
16
0
0
0
0
8
0
0
0
0
26
8
0
0
0
0
0
0
0
0
0
2
4
4
0
4
0
0
8
0
0
0
1
0
2
0
0
8
8
1
1
0
0
0
0
8
8
8
0
0
0
16
0
8
0
0
8
0
0
0
0
0
16
0
0
0
20
0
8
0
1
2
2
4
0
0
0
0
16
0
16
16
0
0
0
0
0
8
0
9
9
16
0
0
8
0
0
0
16
16
0
0
0
20
20
16
16
8
0
8
0
8
0
0
16
8
6
6
0
0
0
0
0
0
0
0
0
0
0
16
16
16
16
0
4
0
12
0
16
16
16
0
33
33
1
1
1
1
1
1
9
0
0
2
0
1
0
0
0
0
0
16
16
0
4
0
0
20
0
0
0
0
16
40
40
0
0
24
4
0
8
17
0
16
0
16
8
0
0
16
0
0
8
24
0
0
0
0
0
0
0
0
0
8
8
0
1
0
8
0
0
0
0
1
8
0
0
0
0
4
0
0
0
0
8
16
16
0
4
8
4
0
0
0
0
0
0
16
1
8
8
8
8
8
0
8
0
0
12
0
4
0
0
0
0
0
8
0
0
0
4
0
0
0
0
1
40
8
8
8
8
0
8
0
0
0
24
16
0
2
2
16
0
0
0
8
8
32
4
17
4
8
16
32
0
8
8
8
0
4
0
8
2
0
0
0
0
0
24
0
0
0
8
8
0
0
0
0
0
8
8
0
0
0
8
0
0
0
0
0
0
10
10
10
0
0
8
8
8
8
0
0
4
0
0
0
0
0
16
0
8
0
0
24
16
4
4
0
0
0
0
0
33
29
29
0
2
0
0
8
0
8
16
16
0
13
16
0
0
0
0
0
0
16
0
8
0
0
0
0
0
8
0
0
0
0
0
16
0
0
0
24
0
0
0
2
1
1
16
1
0
2
0
8
0
0
0
0
0
0
0
0
0
8
0
0
2
0
0
0
0
0
0
0
0
24
8
0
0
0
0
0
0
0
16
0
0
0
0
0
8
12
0
0
24
0
0
0
0
0
8
8
0
0
0
0
17
0
0
0
0
0
0
0
8
8
6
6
0
8
1
16
0
0
0
19
19
8
27
32
8
8
24
24
24
0
0
8
8
0
1
0
2
2
0
0
0
8
17
4
0
0
8
8
38
4
8
8
24
0
0
0
8
0
0
0
0
2
0
4
4
4
0
0
0
24
16
8
0
0
16
16
0
8
8
8
8
8
8
0
0
16
0
18
18
1
1
0
34
0
0
8
2
0
0
0
0
0
0
8
16
32
1
0
0
0
1
8
4
2
2
0
0
0
12
0
0
8
0
0
16
16
8
8
9
18
18
16
0
0
0
0
16
4
4
0
9
12
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
1
0
0
0
0
0
16
0
1
0
0
0
8
8
0
36
0
0
0
0
1
1
0
0
8
0
0
0
0
0
8
0
0
0
0
0
14
16
5
8
8
8
4
0
0
0
0
0
0
0
0
0
19
0
0
0
4
0
0
0
4
5
0
0
0
0
0
0
1
0
0
0
0
32
0
8
0
0
0
0
0
17
8
0
8
0
0
0
0
0
24
0
0
0
0
16
4
0
0
0
8
8
0
0
0
0
8
8
4
8
0
0
0
0
8
0
0
0
8
2
2
16
0
0
0
0
0
32
32
8
5
0
0
8
48
48
0
0
8
0
0
0
0
0
16
8
0
0
8
0
12
16
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
1
8
18
8
0
16
16
0
0
0
0
4
0
0
0
0
0
0
16
4
0
0
0
0
0
0
0
8
8
8
8
8
32
8
8
24
0
0
0
16
16
8
0
8
16
0
0
8
0
0
8
0
16
0
0
0
8
8
8
4
0
8
8
0
4
0
16
0
0
0
0
0
0
0
0
0
8
16
17
16
16
0
0
0
0
0
0
0
8
0
0
0
0
0
4
8
48
0
8
16
16
16
16
16
0
8
0
8
0
0
0
0
0
24
8
0
0
0
0
20
0
0
0
4
4
6
6
4
4
0
0
4
4
4
1
32
2
56
0
16
0
16
8
12
16
2
8
9
8
0
0
16
8
0
0
1
0
2
0
0
1
0
0
0
0
8
0
0
16
16
34
0
0
0
0
20
0
8
8
8
8
8
0
0
16
8
0
0
0
16
8
8
0
8
8
0
8
8
8
0
12
12
0
16
4
4
16
0
2
0
16
16
16
0
0
8
8
8
0
2
14
0
0
0
8
16
2
0
0
8
8
0
0
16
0
0
24
16
0
16
16
16
16
0
0
8
8
0
1
0
32
4
16
16
0
0
6
0
0
0
0
0
0
0
0
0
16
0
0
0
61
4
4
4
4
0
24
0
0
0
8
16
32
32
9
0
0
0
24
24
8
4
4
0
2
2
16
0
8
0
0
16
16
16
0
0
0
0
32
0
0
0
0
0
12
16
48
32
16
16
0
0
0
16
2
2
0
8
0
0
0
0
0
8
0
16
16
0
16
0
0
0
4
0
0
0
0
2
0
32
8
5
0
0
8
8
0
8
8
8
16
0
0
28
0
0
0
0
0
0
0
0
17
0
0
0
8
32
8
8
0
0
0
16
4
0
0
0
0
8
16
2
8
8
0
0
16
16
4
12
0
0
4
12
0
0
0
8
8
0
8
8
8
16
16
4
4
4
16
0
0
0
0
0
12
32
32
32
0
0
0
0
0
0
0
0
0
0
0
0
24
24
5
0
40
40
40
16
16
16
1
16
16
16
0
0
0
0
0
16
33
8
2
16
0
1
8
8
8
8
8
0
8
0
0
1
0
16
8
8
0
16
32
0
24
24
24
8
4
0
0
0
0
0
0
4
4
8
32
0
0
0
0
0
0
0
0
16
0
0
0
16
0
0
0
0
0
0
0
0
0
0
4
0
0
8
16
8
8
0
0
0
12
12
12
16
12
8
0
0
16
16
0
8
8
0
0
0
0
8
0
0
0
16
9
9
0
0
4
8
8
0
0
0
0
0
16
8
27
27
8
0
0
8
16
0
0
0
4
0
16
17
8
8
16
16
16
16
16
0
0
8
0
0
8
8
16
0
16
0
10
0
2
0
4
0
1
0
8
28
28
0
2
2
16
16
0
0
0
1
8
8
0
4
4
0
0
4
16
16
16
8
8
2
16
0
0
4
2
1
1
1
12
8
0
8
17
4
56
8
8
8
8
9
0
0
0
16
16
8
0
4
0
0
10
10
8
0
48
0
0
0
2
2
0
0
0
0
1
16
4
4
4
8
0
0
0
0
0
0
8
0
5
5
8
18
10
2
0
0
8
0
16
16
16
16
0
48
8
0
0
0
0
0
8
0
0
2
17
24
0
0
0
8
8
16
8
8
2
0
0
16
0
8
0
0
0
8
0
0
20
0
0
0
32
0
0
16
0
8
8
8
8
8
0
0
16
0
12
12
8
8
8
0
16
40
4
0
0
0
0
32
8
0
0
0
9
0
0
0
0
0
0
0
0
20
0
8
8
8
8
2
2
0
16
16
0
2
0
0
0
0
0
18
16
16
6
0
0
0
40
40
24
0
0
0
18
0
0
0
0
16
0
16
16
16
0
0
0
0
9
9
9
4
0
2
2
2
0
0
32
0
16
8
4
2
0
0
0
0
32
4
16
0
0
16
0
0
0
16
2
2
2
16
1
1
0
4
0
0
8
0
2
0
8
0
8
8
0
4
0
8
0
8
20
0
0
0
0
0
16
0
0
0
0
0
0
16
4
16
16
0
0
0
8
16
8
8
8
8
12
12
4
4
4
4
20
0
0
0
0
0
0
8
16
24
0
0
0
48
0
0
0
0
2
16
16
8
8
0
16
8
8
0
0
8
0
0
0
0
8
0
32
16
24
0
0
32
0
0
8
8
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
8
20
0
0
0
1
16
0
2
0
12
12
12
12
8
1
0
0
16
0
2
0
0
0
0
0
0
4
8
8
0
0
0
0
2
16
0
1
12
12
12
8
8
8
32
32
32
0
0
0
8
8
0
0
16
16
0
2
0
0
0
0
0
0
0
0
17
4
4
4
4
0
10
16
2
0
0
0
8
8
8
17
24
24
8
8
0
0
0
0
0
0
0
0
0
0
8
8
0
0
16
0
1
16
0
0
0
12
12
12
8
0
0
0
16
0
16
0
16
0
0
0
8
16
8
8
0
0
4
8
8
8
2
8
8
7
7
0
24
24
0
0
0
0
0
16
8
8
0
8
0
0
0
2
2
0
0
16
8
8
8
0
0
0
0
0
12
0
8
8
0
4
4
16
0
0
0
0
0
0
0
0
0
2
16
0
8
0
14
0
0
36
0
0
16
1
0
0
0
40
0
0
0
0
0
0
32
16
16
0
18
12
16
0
0
16
0
0
0
0
34
0
0
0
0
8
0
0
0
0
0
0
0
0
8
8
8
32
0
0
8
8
8
8
0
0
16
17
17
0
0
0
0
0
0
0
17
17
17
0
2
8
0
0
0
0
0
0
0
0
8
8
8
8
26
0
16
0
16
0
0
0
0
4
0
0
0
8
28
0
0
0
8
0
0
0
8
20
8
8
0
32
32
32
0
16
8
0
0
8
16
16
0
0
0
16
0
0
2
16
8
0
8
22
0
0
20
0
0
0
0
0
0
0
16
8
8
0
16
16
8
8
1
16
0
0
21
21
21
0
0
8
16
0
9
18
0
0
0
0
0
0
0
0
16
16
0
8
0
0
1
8
16
8
0
0
32
32
36
32
32
3
0
0
16
0
0
8
8
8
0
0
1
8
0
0
0
4
0
0
0
1
16
16
0
0
8
0
0
0
0
0
8
8
0
0
3
3
0
0
0
8
0
0
0
0
8
8
0
16
0
32
0
0
0
0
0
0
0
0
0
8
1
16
16
16
2
1
0
0
0
0
0
0
0
24
14
14
0
0
0
0
0
8
0
4
4
4
4
0
0
8
32
24
16
0
0
16
16
16
16
0
8
0
0
2
0
0
0
0
16
16
16
16
4
16
16
0
0
16
16
0
0
0
0
0
0
16
4
16
0
0
0
0
0
0
0
0
2
2
2
0
32
16
0
8
8
17
0
2
1
1
1
1
1
0
8
8
16
8
0
0
19
0
32
0
0
0
8
0
0
0
0
0
8
0
1
1
1
0
0
0
4
0
0
0
0
0
8
0
0
8
8
0
2
0
8
0
0
0
0
8
0
0
8
62
0
8
0
0
0
0
0
0
8
0
0
20
16
16
1
1
0
48
8
1
1
0
8
0
0
0
0
16
0
0
0
8
8
8
8
0
0
0
0
0
0
32
8
24
4
16
16
16
0
1
0
0
0
0
0
8
8
8
8
0
8
16
16
16
16
8
16
0
0
0
0
0
10
0
0
0
0
2
16
16
0
8
16
21
0
0
1
0
0
8
0
0
0
0
0
0
8
0
1
8
0
0
6
16
8
10
0
28
28
34
2
2
2
2
16
0
0
0
8
0
4
4
0
0
8
16
16
16
0
8
8
0
4
24
0
0
0
0
0
0
0
16
4
0
8
8
8
4
4
4
8
8
8
20
20
0
0
0
48
8
4
0
0
18
18
18
8
0
0
0
8
16
4
4
0
27
16
8
8
8
2
0
2
2
2
4
4
1
1
1
1
1
1
12
0
0
16
16
0
0
0
16
8
8
0
8
8
2
2
0
0
0
0
2
0
0
0
0
0
16
0
0
8
8
8
0
8
8
0
0
0
0
1
1
1
1
8
0
4
16
16
8
8
0
0
16
0
0
0
16
8
1
0
0
0
0
20
0
16
16
0
8
8
0
8
8
33
16
16
16
16
0
16
4
4
8
0
1
1
8
8
8
8
8
8
24
24
24
0
0
0
0
0
0
0
0
0
1
8
40
0
0
0
0
0
0
0
0
0
8
8
0
0
32
32
32
32
0
0
0
0
0
0
0
0
0
0
8
8
0
16
1
1
8
16
0
8
8
16
32
8
0
1
24
2
2
2
0
0
0
0
8
0
0
16
8
8
8
8
8
8
0
0
16
0
0
17
16
16
8
0
0
0
0
7
7
0
0
0
0
0
18
0
8
8
8
16
24
16
16
0
32
32
32
32
8
0
8
24
24
1
16
0
8
8
8
8
16
16
8
16
16
0
0
16
8
4
8
8
8
0
0
8
8
8
32
0
16
16
0
0
0
8
0
0
8
8
0
0
16
16
0
0
8
16
16
0
0
0
0
2
0
8
0
24
8
16
1
8
8
8
0
8
1
34
0
32
0
0
0
0
8
8
8
8
48
48
48
8
8
2
2
0
0
4
8
8
8
8
8
0
0
0
8
0
0
0
0
25
8
0
8
8
0
8
8
8
0
0
0
8
8
8
18
0
0
0
0
0
0
0
8
8
8
8
0
32
0
4
0
8
16
16
8
8
24
24
0
4
4
8
16
1
1
16
8
16
16
0
0
0
0
1
0
0
8
8
0
0
4
8
8
8
16
8
0
0
16
8
3
0
0
1
1
1
0
16
0
1
0
0
0
4
2
0
0
1
8
0
0
0
0
0
0
10
16
4
16
0
0
0
16
2
4
8
8
8
8
0
0
0
40
8
32
0
16
2
0
17
0
0
0
0
1
0
0
0
1
16
0
0
0
1
0
0
0
17
0
10
0
0
0
0
0
0
0
0
0
0
20
0
0
0
0
0
0
0
1
0
16
16
16
16
8
0
1
1
0
8
8
0
0
12
12
12
4
0
2
8
0
0
0
0
0
0
0
0
8
0
9
16
0
0
0
0
8
21
8
0
8
8
1
4
8
2
16
0
0
0
0
0
0
16
16
16
0
0
21
21
0
0
0
16
8
8
32
0
0
0
0
0
0
1
1
0
0
0
0
0
0
1
0
0
8
8
16
8
0
2
0
32
0
16
32
0
0
1
1
0
0
0
0
0
4
4
1
0
4
16
0
0
0
0
0
0
0
0
16
16
16
0
0
8
8
8
8
0
16
0
0
0
0
16
16
8
8
24
24
0
8
16
0
16
16
0
0
0
16
0
0
0
0
0
8
0
0
0
4
0
0
16
0
8
8
0
0
0
0
16
8
8
18
0
4
0
8
8
1
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
16
16
0
1
0
0
8
8
0
0
0
0
8
8
0
8
8
0
0
2
2
2
16
8
8
0
0
0
0
7
16
16
16
16
0
0
0
0
0
12
0
0
0
0
0
0
0
0
0
2
8
0
0
0
0
0
4
8
8
0
4
28
0
2
0
16
16
16
0
0
0
0
8
0
8
0
0
0
1
24
24
0
0
0
0
0
0
0
0
2
2
2
0
1
1
1
1
1
1
0
0
16
0
0
0
0
0
32
0
4
0
4
4
16
0
0
0
0
0
0
8
8
8
8
8
8
8
8
2
2
0
18
18
18
18
18
18
18
0
0
0
0
0
0
0
0
0
0
16
16
16
16
16
0
0
0
0
8
8
16
0
0
18
0
24
0
0
0
0
0
1
8
8
8
1
16
0
0
0
0
0
0
0
16
21
0
0
0
24
24
24
0
27
8
0
8
8
8
16
8
0
0
0
0
1
16
16
16
0
0
0
8
0
0
0
32
16
0
0
0
0
16
16
16
16
16
0
20
0
0
0
0
0
24
24
8
8
8
8
0
0
0
0
0
0
16
17
1
1
9
9
0
0
16
8
9
0
4
0
8
0
1
4
0
0
0
8
34
34
0
0
0
0
0
0
16
8
16
16
0
0
0
16
0
0
0
0
16
2
6
0
0
8
0
8
16
8
8
3
3
0
1
0
0
0
16
0
0
4
4
0
16
16
8
8
8
0
0
0
0
0
0
0
0
0
1
1
24
4
0
0
0
0
0
4
16
16
0
0
0
0
0
0
16
16
16
8
8
0
0
0
0
0
0
0
16
2
1
1
1
16
16
1
16
16
0
3
3
0
1
1
16
0
1
0
0
0
0
0
0
24
0
0
16
0
16
16
16
16
24
0
0
8
0
4
0
8
0
14
0
0
16
8
4
0
0
4
0
0
0
12
8
0
0
0
16
16
16
1
1
0
0
16
0
0
0
0
0
0
8
24
8
18
0
4
4
0
0
0
0
4
0
0
0
0
0
0
8
8
0
2
0
8
0
8
33
4
4
25
0
16
16
16
2
0
0
32
1
1
22
2
16
0
0
0
0
0
24
24
0
0
0
8
0
0
8
0
0
0
1
4
16
0
0
16
16
24
0
1
16
16
16
0
0
0
1
0
8
4
4
0
0
0
16
0
16
3
0
0
0
4
0
8
8
8
8
20
20
20
20
22
16
16
0
4
4
0
0
0
0
24
24
0
0
2
2
2
24
0
16
0
0
0
2
0
0
16
16
0
2
16
0
0
1
1
0
0
18
0
0
1
16
0
8
8
2
8
8
0
0
0
8
0
16
0
1
25
0
0
0
0
8
8
8
8
0
0
0
16
8
8
8
8
12
0
0
0
0
8
0
4
0
0
0
0
0
8
8
0
0
0
0
0
8
0
0
0
0
0
0
8
0
0
0
1
1
0
0
0
0
0
5
0
16
8
0
8
8
1
1
16
0
0
0
4
4
0
0
20
0
0
1
2
4
4
16
8
0
0
0
0
1
1
0
0
16
16
0
4
2
0
0
0
0
0
8
8
16
0
0
0
0
0
0
0
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
8
8
4
20
28
0
16
0
0
8
0
0
4
0
0
0
0
0
0
24
0
0
0
0
8
50
0
0
0
0
0
1
8
0
0
24
24
24
0
0
0
0
2
2
0
0
0
0
8
0
0
0
8
8
0
0
8
8
0
8
0
40
8
0
8
0
2
2
0
0
0
8
8
8
0
0
0
0
0
0
8
0
0
16
0
0
0
0
0
0
0
0
16
0
8
8
8
8
10
0
16
0
1
32
32
32
4
4
4
16
1
8
0
0
17
17
17
17
0
0
16
1
0
0
16
16
16
16
0
1
0
8
8
0
0
0
0
0
1
1
1
8
0
0
0
8
0
0
0
0
0
2
2
2
8
1
0
0
0
0
0
0
0
0
24
0
8
0
0
0
8
16
0
0
0
8
0
0
8
16
8
0
0
0
0
16
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
8
8
8
24
8
0
0
0
16
0
0
0
0
0
0
0
0
8
16
16
16
8
0
16
0
0
0
0
0
4
0
8
0
0
1
16
16
6
8
8
0
0
0
12
12
12
0
0
0
5
5
8
0
32
0
0
8
8
2
32
8
8
8
8
12
12
0
0
0
31
4
4
1
0
8
0
16
1
1
4
16
0
0
0
0
0
0
0
0
0
0
0
0
32
1
16
0
16
0
4
4
0
16
8
0
24
0
0
2
4
2
0
0
0
0
0
8
25
25
25
0
0
0
0
0
0
1
6
0
0
0
8
1
4
4
4
8
16
0
16
0
0
16
16
16
16
8
0
9
0
0
16
16
16
8
2
0
0
0
0
0
0
0
0
0
8
0
0
1
0
0
17
17
17
0
0
16
4
24
24
4
2
0
4
4
4
8
0
0
0
4
1
8
32
0
0
0
0
8
0
0
8
0
0
0
1
0
24
0
10
10
1
1
4
24
0
0
0
0
0
0
0
0
0
4
0
0
0
0
1
1
1
1
8
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
16
16
16
16
6
16
0
0
8
8
8
0
4
0
0
0
0
8
8
0
0
21
0
0
1
0
0
0
0
20
20
0
0
0
2
2
0
0
16
16
8
0
0
2
0
0
0
9
0
0
0
8
8
8
8
8
0
0
0
16
3
0
0
16
16
16
0
0
0
0
0
1
0
20
20
8
0
0
0
0
16
16
0
0
4
4
8
0
2
0
0
1
1
4
4
4
0
0
8
12
16
4
4
0
0
0
0
0
0
0
8
0
16
16
8
0
0
0
0
0
0
0
8
8
8
8
8
0
49
0
0
4
8
8
20
20
0
8
0
0
32
16
4
0
0
0
8
8
8
1
0
0
16
4
4
0
8
0
8
0
0
20
0
0
0
0
24
16
16
0
0
0
0
8
8
8
8
4
4
16
16
16
16
8
8
8
16
32
0
8
0
0
8
2
0
0
0
0
8
0
0
8
16
8
8
0
0
0
0
0
0
0
0
0
8
8
16
16
16
0
4
0
0
1
1
0
8
0
0
50
50
0
0
0
1
4
4
0
24
0
0
8
8
16
16
0
0
0
0
8
8
8
16
0
16
0
0
8
8
1
28
0
0
24
17
17
17
17
0
16
16
0
16
16
16
16
0
0
0
0
0
16
16
0
0
0
8
0
0
0
0
0
8
0
0
0
1
20
2
0
16
16
8
0
0
8
16
16
16
24
8
48
0
1
24
24
4
0
0
0
1
1
1
0
8
0
0
0
0
0
0
0
0
0
0
0
53
0
0
8
57
8
16
1
8
0
0
0
0
8
0
0
0
0
0
0
0
8
4
4
8
8
8
0
8
8
1
1
1
8
0
0
0
0
0
0
8
0
0
8
32
0
28
28
0
0
32
16
8
0
16
16
16
0
0
0
0
0
1
16
16
0
4
16
0
32
32
0
0
0
0
0
2
2
0
0
8
8
0
10
2
8
32
4
16
0
0
0
0
0
0
0
20
0
0
8
8
8
1
16
0
0
0
0
16
16
0
16
0
8
0
0
1
4
4
16
0
0
16
16
0
16
16
0
51
8
0
2
8
24
24
0
0
0
0
0
0
0
0
0
40
4
4
0
0
0
16
25
25
0
0
0
0
0
0
16
8
8
8
16
3
56
56
0
8
8
8
8
0
0
8
0
1
0
8
8
8
0
16
8
0
16
0
0
0
0
4
16
0
1
8
8
0
8
8
8
8
16
0
8
8
8
8
8
2
9
0
0
0
0
8
0
0
0
0
16
16
16
0
0
0
0
0
0
0
8
0
4
0
4
4
0
0
8
0
0
0
4
4
8
8
8
8
8
16
4
16
0
0
0
0
0
0
0
32
0
8
8
8
0
0
0
0
8
0
0
8
8
0
0
0
8
0
8
8
0
16
8
8
0
4
4
8
4
1
8
8
0
0
0
0
0
0
0
0
0
0
0
8
0
0
16
0
8
2
2
1
1
12
2
2
2
16
4
16
0
0
16
16
0
0
4
12
12
4
8
8
0
32
4
16
16
0
0
16
16
0
2
2
0
18
8
8
8
0
0
16
0
0
0
0
8
8
0
4
1
0
0
0
0
8
16
16
1
8
0
16
0
8
1
0
0
0
8
8
0
10
10
10
10
10
10
10
9
9
25
25
25
25
25
0
2
24
24
8
0
0
0
8
8
8
8
0
0
0
0
8
0
8
0
4
0
8
2
33
33
8
8
51
8
8
0
0
8
0
0
0
0
0
0
1
0
4
4
0
0
0
0
0
0
0
0
0
8
16
16
0
0
0
0
0
8
24
24
0
0
0
8
8
8
0
0
16
0
0
0
16
0
0
0
0
8
8
0
1
0
0
1
0
0
0
0
2
2
2
8
2
0
16
2
2
2
2
2
0
0
0
0
0
40
0
0
8
0
0
0
8
0
16
0
8
40
40
0
8
8
8
8
1
1
1
16
2
0
0
0
8
8
16
0
16
16
0
0
0
0
8
16
0
8
2
0
0
16
0
0
0
24
8
8
8
4
0
0
0
0
0
1
8
8
8
21
0
0
0
0
0
0
0
0
0
8
8
0
8
0
50
50
0
0
32
32
0
0
4
11
11
11
0
43
0
10
0
0
0
12
12
0
4
26
8
0
0
0
0
0
12
0
0
16
0
24
24
16
26
0
0
0
0
0
0
0
0
18
18
0
0
0
0
24
16
0
16
0
16
1
0
8
1
8
16
16
0
0
0
16
16
0
0
8
8
8
0
18
0
1
1
8
0
0
0
16
0
16
16
2
2
1
0
16
8
0
0
8
8
8
8
8
0
0
0
0
0
4
24
0
1
1
1
0
0
0
0
20
37
16
2
0
24
0
0
8
0
0
0
0
16
0
0
8
8
8
0
0
8
8
8
0
0
0
0
0
2
17
17
17
0
0
8
8
0
4
4
0
0
0
0
0
16
12
0
8
8
8
32
32
0
0
8
2
16
16
16
8
0
16
0
8
8
2
0
0
0
0
0
0
0
4
8
0
1
2
16
0
8
0
0
0
0
28
16
16
0
6
8
0
16
60
60
0
0
0
8
0
8
0
4
4
32
0
0
0
0
0
4
8
8
0
8
8
0
24
0
0
0
4
24
24
24
16
0
20
16
0
8
0
0
2
0
4
0
0
0
0
8
8
8
0
4
4
16
8
0
0
0
0
0
0
0
0
18
16
16
8
8
8
0
0
0
8
8
8
0
16
16
0
0
8
0
0
0
0
16
0
0
0
0
0
2
2
8
0
8
8
2
16
4
0
8
8
0
4
0
8
0
0
0
0
0
12
0
0
1
8
8
8
0
16
8
8
8
20
16
2
0
16
0
0
4
16
16
0
0
0
24
4
4
0
0
8
0
0
16
0
8
16
30
0
0
0
0
0
1
0
8
0
0
0
0
4
0
0
0
0
0
8
8
0
4
4
24
4
17
17
16
4
16
0
0
0
4
0
0
0
0
16
0
0
0
0
0
0
0
8
17
0
0
0
0
0
0
4
0
16
16
16
0
0
0
17
17
17
0
0
0
16
0
0
8
0
8
8
8
0
0
16
0
0
0
0
0
0
0
0
0
0
0
32
13
0
25
25
25
1
0
0
0
6
6
0
16
8
8
0
0
0
0
16
16
16
0
0
9
2
0
0
32
32
8
8
8
0
1
2
6
0
0
0
12
12
1
1
0
8
0
0
16
16
16
16
0
0
0
8
0
2
0
0
0
2
0
0
16
0
0
8
0
0
0
0
0
8
8
0
0
0
0
0
0
0
20
2
2
0
0
8
16
0
0
0
32
1
0
48
16
1
0
40
4
4
16
0
8
8
0
16
2
0
0
1
1
16
16
2
2
32
0
0
16
16
0
16
8
0
16
8
8
0
0
0
16
16
16
0
0
0
0
8
8
0
0
0
8
8
8
8
8
8
16
32
8
0
1
16
0
0
4
8
8
8
8
2
2
2
0
2
8
8
0
0
0
0
0
0
10
10
10
10
24
24
24
24
8
0
16
16
16
16
16
16
8
0
16
0
6
6
8
0
0
1
9
0
0
0
0
0
16
0
0
0
0
0
0
40
40
40
0
0
16
4
4
0
0
0
0
0
0
0
0
0
0
8
16
8
0
0
16
0
8
0
0
0
0
0
1
16
16
8
8
16
0
0
16
16
0
4
0
8
0
0
0
0
0
0
8
8
1
0
0
3
1
8
0
0
0
0
0
0
0
0
9
8
0
0
24
24
24
16
0
8
8
8
2
2
2
16
8
0
4
4
0
0
8
8
0
0
8
1
1
1
1
1
1
1
1
8
0
0
0
0
16
16
0
17
16
0
2
16
24
0
9
0
0
0
0
1
0
8
8
0
0
0
0
0
0
34
34
8
0
10
8
8
8
25
0
24
16
16
16
16
16
0
0
40
16
16
0
2
2
2
20
32
0
3
3
1
0
8
16
0
8
0
0
0
0
8
0
4
0
8
1
0
8
0
0
0
0
0
0
0
16
2
0
0
0
4
0
8
0
0
0
0
0
1
24
24
24
32
32
16
0
0
0
8
0
0
17
16
0
0
4
0
4
0
1
16
0
16
0
16
16
0
0
0
0
0
0
9
8
8
0
16
0
0
0
4
0
0
16
16
0
10
0
0
0
0
5
5
1
1
0
4
8
0
0
0
24
24
4
0
2
2
18
0
0
16
16
5
5
0
0
8
4
0
0
37
37
37
0
0
12
0
24
16
8
0
8
0
0
1
16
16
16
0
0
8
0
0
0
0
0
0
0
0
16
16
16
8
8
0
0
32
16
0
0
16
16
0
3
0
0
0
16
0
0
0
0
0
0
0
0
0
1
16
0
0
0
0
0
8
8
8
0
16
0
0
0
0
0
0
0
0
18
18
0
2
0
2
0
5
5
0
0
0
0
0
0
0
0
0
0
56
0
0
16
16
16
0
0
0
8
8
0
0
0
6
8
2
16
16
16
8
8
8
8
8
0
8
8
0
0
8
8
0
20
12
16
16
16
16
16
0
0
0
0
0
0
8
0
18
0
0
0
1
0
0
8
0
0
16
16
8
16
0
0
4
4
4
0
0
24
0
0
0
8
0
16
0
0
0
4
4
0
1
0
0
0
0
0
0
0
8
8
8
0
20
8
32
0
0
0
16
16
16
16
16
4
4
0
16
8
8
8
4
4
0
4
0
0
0
0
8
0
0
8
0
0
8
18
0
4
9
9
0
0
28
4
4
0
0
17
32
4
18
18
18
18
18
0
24
32
32
0
0
0
0
24
24
8
8
0
0
8
0
0
0
4
4
24
24
8
8
1
6
8
0
0
2
2
2
0
0
4
4
4
33
16
8
13
13
0
8
0
0
8
0
0
8
0
0
0
1
1
1
2
18
0
0
0
0
0
0
0
8
3
8
16
8
0
1
1
28
0
0
0
0
0
8
0
0
0
8
8
8
0
0
8
8
8
8
8
0
0
16
4
4
4
4
8
8
8
8
0
8
4
0
16
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
9
8
8
8
0
0
17
0
16
0
0
0
0
0
0
4
0
0
8
16
16
26
4
4
16
20
0
0
8
0
0
16
52
8
8
8
8
8
0
0
0
0
0
0
0
16
24
4
0
8
8
8
16
8
8
16
0
0
0
0
0
0
8
16
32
0
0
0
8
4
16
16
16
16
16
16
0
0
0
8
8
0
0
0
8
0
16
26
26
26
8
0
1
1
0
0
0
0
9
25
8
0
4
0
2
0
0
0
6
2
2
2
0
0
0
4
4
0
0
2
0
0
0
0
1
16
4
0
44
0
8
0
0
0
0
2
2
2
16
0
0
1
0
0
4
0
0
0
0
0
8
8
0
0
0
0
16
0
0
0
0
2
16
4
0
0
5
0
0
0
8
8
0
0
0
0
16
16
16
0
8
8
16
0
0
0
0
0
8
0
0
0
0
0
12
16
0
0
2
16
16
0
0
0
16
9
8
8
0
0
0
24
8
8
24
8
8
8
0
0
0
0
6
12
0
0
0
8
8
8
0
0
8
0
4
4
2
16
16
8
0
16
0
0
8
8
8
0
0
2
0
0
0
0
0
16
27
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
1
8
8
1
8
16
16
32
16
16
0
0
0
0
8
8
0
0
0
0
0
20
20
20
0
16
16
16
24
0
0
0
0
0
0
28
8
8
0
0
6
6
4
0
0
0
0
0
0
0
0
4
0
8
0
0
0
0
32
16
16
0
0
0
0
0
0
0
0
4
0
8
0
0
1
0
0
0
0
16
8
8
0
8
1
0
0
40
0
8
1
1
1
1
1
8
0
18
8
16
1
2
0
0
0
0
2
2
2
4
4
0
0
0
0
0
16
8
0
0
0
8
8
0
2
0
8
16
18
0
16
16
16
16
0
0
0
0
8
8
8
0
0
16
8
8
0
0
2
2
2
8
8
0
32
0
4
8
8
8
8
8
8
2
2
8
16
0
0
0
0
0
0
0
0
1
0
0
16
10
8
8
0
0
0
0
2
32
16
0
0
0
19
0
0
8
0
0
0
0
8
0
11
0
0
8
20
20
20
0
8
8
8
0
8
8
0
16
0
0
0
4
4
0
0
0
4
4
0
8
0
8
8
16
32
16
4
0
0
0
10
0
4
8
8
16
16
20
20
20
8
24
8
4
0
8
8
8
0
0
0
0
16
16
16
8
0
8
8
8
0
1
0
0
0
0
0
4
4
4
4
8
8
0
26
26
0
0
8
0
0
6
0
16
16
16
16
16
16
0
0
8
8
16
16
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
16
8
32
32
0
2
8
0
0
0
2
16
0
0
0
0
0
0
9
9
0
0
4
0
32
0
0
0
0
8
0
0
2
0
0
16
0
0
8
1
0
0
0
0
0
0
0
8
1
1
0
33
0
4
0
0
0
0
2
0
0
0
4
0
16
0
0
0
0
17
4
0
0
2
2
2
2
1
16
16
0
8
8
8
8
0
1
0
0
8
0
0
0
16
0
0
0
0
0
8
0
8
0
0
0
8
0
0
8
0
16
8
8
8
16
16
8
0
0
0
4
0
1
8
8
17
0
0
0
0
0
4
4
0
0
8
8
0
8
8
0
0
8
8
8
0
0
0
0
4
0
0
16
16
1
0
0
0
16
16
0
0
16
0
0
0
0
0
0
0
2
8
16
0
0
8
8
4
24
24
24
24
0
0
0
0
0
0
0
24
16
16
0
0
8
0
16
16
16
16
0
0
0
0
0
1
5
0
2
2
8
8
8
2
8
1
1
8
16
0
16
0
8
16
8
1
4
4
4
0
0
4
0
8
8
16
16
26
16
0
0
0
0
0
1
16
0
0
8
0
0
0
0
0
32
0
0
0
8
0
8
0
0
0
0
0
0
4
0
0
0
8
16
8
2
2
0
8
0
1
0
32
0
0
1
0
18
8
8
16
0
0
1
8
0
0
0
0
0
0
0
8
4
0
0
0
8
0
16
16
0
0
0
0
0
8
16
1
0
0
9
8
24
0
4
0
0
32
32
32
8
0
0
0
0
0
0
0
2
8
8
0
0
8
8
0
8
1
1
1
1
0
0
2
2
0
0
1
20
20
20
20
8
0
0
0
0
4
20
0
16
4
18
18
16
0
32
3
0
8
0
2
0
17
8
8
0
2
0
32
16
8
0
17
24
16
8
8
8
16
4
1
8
0
8
8
8
8
8
0
0
24
0
8
0
0
0
8
8
8
0
0
21
0
0
0
0
0
0
8
20
20
4
8
8
17
0
0
0
4
4
0
0
0
0
0
0
0
0
16
16
17
17
17
0
0
4
4
0
0
32
0
0
0
2
2
8
0
0
0
8
16
4
4
8
0
4
8
0
8
0
0
0
2
8
0
0
2
2
2
0
0
0
0
0
16
0
8
0
0
0
0
0
24
24
24
24
24
24
24
0
8
8
16
16
0
2
0
8
0
0
0
16
0
0
4
4
4
18
0
16
32
16
16
16
16
8
8
0
0
16
0
8
0
8
0
0
8
0
0
0
8
24
2
28
0
8
8
0
0
0
0
0
0
0
0
24
0
0
0
16
0
0
0
0
16
16
8
8
0
0
16
0
0
4
36
16
16
16
16
0
0
0
0
6
0
0
0
0
25
8
0
1
0
0
0
16
0
0
8
0
0
0
0
0
16
16
0
0
0
4
36
36
0
0
0
8
8
0
4
4
4
8
0
0
8
5
0
0
0
16
0
0
0
0
0
8
8
8
0
0
0
0
18
18
18
0
0
0
24
0
0
0
8
8
8
0
8
16
16
0
8
16
0
1
0
0
0
0
8
8
4
0
0
16
16
16
8
0
0
0
0
0
0
0
0
16
0
0
0
16
0
0
0
0
4
20
1
1
4
0
16
16
16
16
0
18
16
16
8
8
0
0
4
4
0
0
16
16
0
0
8
8
8
16
16
0
8
0
0
0
0
4
0
4
16
50
0
4
0
16
16
1
0
0
0
0
0
0
0
0
0
0
34
0
0
2
0
8
0
1
0
0
4
2
2
0
0
0
0
8
8
0
0
16
0
16
8
8
0
0
16
48
8
0
0
0
0
16
4
8
8
8
8
8
40
40
0
4
0
0
0
0
0
0
8
0
0
8
0
4
4
0
0
4
0
8
1
1
0
8
8
8
0
1
0
0
0
0
32
8
0
0
8
36
0
16
0
4
4
0
4
1
1
0
16
8
0
0
0
0
0
0
0
8
0
0
20
40
0
0
0
0
0
2
0
0
1
0
0
0
0
0
16
8
2
0
1
0
0
0
0
8
8
0
0
0
8
57
8
8
0
0
32
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
4
17
17
8
9
8
0
4
4
0
0
8
0
0
0
8
0
0
0
0
0
4
4
16
0
4
8
0
0
0
0
0
24
24
4
8
5
5
5
5
8
12
12
0
0
16
0
0
0
0
0
12
12
8
0
0
0
0
0
0
0
0
0
0
8
0
0
16
0
4
0
0
16
16
16
16
2
2
2
2
2
2
0
0
0
4
16
8
8
4
4
4
4
16
21
0
0
0
4
12
0
0
0
0
16
16
0
0
0
0
8
8
0
2
8
0
0
0
0
0
0
0
0
0
0
32
0
0
0
0
0
0
0
0
16
0
8
8
0
0
0
8
0
0
0
28
8
16
16
0
0
8
8
16
0
0
0
0
0
0
0
0
0
24
16
16
16
16
16
0
16
6
0
8
0
0
8
8
8
0
8
0
0
0
0
0
0
24
0
16
16
16
16
16
8
0
0
0
0
16
0
0
4
8
0
0
0
0
0
24
0
0
0
0
16
0
1
0
0
0
16
0
0
8
16
16
17
17
0
0
0
52
8
8
0
0
0
0
0
0
8
0
0
0
24
0
0
0
0
0
0
0
8
0
24
24
24
8
1
1
1
8
0
0
1
2
2
0
16
0
16
0
16
16
8
8
16
16
0
8
8
1
8
2
16
51
51
0
10
0
0
0
1
1
1
1
0
0
0
20
0
8
2
2
2
0
0
0
0
0
0
0
4
4
0
0
16
8
0
4
4
4
0
0
0
0
0
4
8
0
0
0
0
8
0
0
1
8
8
1
16
0
16
16
16
16
16
16
8
0
16
16
16
16
16
8
0
0
1
1
56
8
8
8
24
8
8
0
0
0
0
16
16
16
16
0
8
2
0
0
0
0
0
16
8
8
44
44
0
0
8
8
16
0
4
4
0
2
0
16
0
1
16
16
1
0
0
45
45
1
0
2
16
8
8
8
0
0
0
0
0
0
2
33
8
8
3
2
2
1
2
8
41
0
8
0
0
0
0
16
16
0
1
0
0
25
0
8
8
8
0
0
0
33
0
0
0
0
0
4
0
8
8
2
24
24
0
0
0
0
0
0
0
0
0
0
0
0
2
2
0
0
40
40
40
4
32
8
0
0
0
0
1
0
0
8
0
0
0
0
0
0
6
0
4
8
28
0
8
8
0
8
8
16
16
0
0
2
0
0
16
16
0
16
16
8
48
0
4
4
6
8
0
32
32
1
16
16
16
16
16
1
0
0
16
16
16
8
8
8
8
8
0
0
0
8
0
0
0
8
8
8
8
0
0
0
0
0
12
32
32
0
16
8
16
16
0
2
0
8
0
0
8
8
0
4
0
0
16
16
0
8
0
0
0
0
0
0
20
16
1
0
10
0
0
0
0
0
0
0
0
24
6
2
2
8
8
8
0
0
48
48
18
1
2
36
0
8
16
24
24
0
0
10
8
8
16
16
0
16
0
16
0
24
0
16
57
16
0
0
0
4
8
8
0
32
32
8
8
8
8
8
0
0
0
2
2
0
0
20
0
0
0
1
8
0
0
0
0
0
16
16
0
0
0
0
2
2
0
0
0
0
8
0
0
0
0
0
16
0
0
0
0
16
0
16
1
1
0
0
4
0
1
1
1
0
0
0
33
33
33
1
0
4
4
0
16
16
8
0
0
16
16
16
0
16
0
0
0
0
0
0
0
0
0
0
8
8
8
8
16
32
0
8
0
8
0
32
0
0
0
16
0
0
0
24
24
16
32
32
0
0
1
0
0
0
8
16
4
0
9
0
0
16
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
17
0
0
2
0
0
0
9
4
16
0
8
1
1
1
8
8
8
4
4
0
0
0
8
8
8
0
0
0
52
8
0
0
0
0
16
0
0
4
4
0
8
8
0
6
8
0
0
17
8
0
16
16
16
8
0
8
8
18
0
0
0
5
16
12
12
1
0
0
0
0
4
4
8
0
0
0
0
8
8
8
8
8
0
0
0
8
0
0
0
8
8
8
0
0
0
0
0
0
2
0
4
4
1
1
8
8
18
8
28
0
0
0
5
5
0
0
8
2
16
8
8
0
4
4
0
0
0
0
0
0
0
0
0
12
17
8
16
8
8
8
0
16
0
0
0
20
20
0
0
0
0
8
8
0
0
0
0
0
8
8
0
0
0
0
0
8
24
20
16
8
8
8
0
0
0
0
0
0
0
0
0
0
16
16
16
16
0
0
0
0
32
32
2
2
0
0
0
24
16
0
0
0
0
10
10
0
0
0
2
0
0
1
2
16
16
16
16
4
16
0
8
8
0
8
16
0
0
2
2
0
16
16
0
0
6
8
0
0
10
10
0
0
8
16
0
8
24
24
0
8
0
0
0
0
0
0
0
0
0
0
0
16
0
0
6
0
0
20
16
0
16
16
8
0
0
0
0
0
0
0
0
0
6
6
10
10
0
0
1
8
2
8
8
8
0
0
0
0
2
16
0
16
16
1
8
8
0
0
0
0
0
2
0
0
20
20
8
8
0
0
13
8
8
8
2
2
0
0
0
0
0
8
0
0
0
2
0
8
0
0
0
0
8
0
0
0
0
0
16
2
0
0
4
0
32
32
0
0
0
32
16
2
16
0
0
0
0
0
0
0
0
0
16
8
8
8
0
0
4
8
8
0
0
0
0
0
9
9
0
8
0
0
0
8
0
0
8
16
16
0
0
0
16
0
8
8
8
0
0
1
0
0
0
8
0
1
1
0
8
0
0
0
22
22
0
0
0
0
0
0
1
1
1
8
0
8
0
0
0
0
0
0
0
8
0
0
24
0
0
3
8
0
0
0
0
0
17
0
0
8
0
0
0
0
0
0
0
8
4
4
4
4
16
8
0
8
0
0
2
49
0
0
0
0
4
4
0
8
8
0
16
8
0
8
0
16
8
8
4
4
8
8
8
8
0
0
1
0
22
1
16
0
0
8
20
8
24
0
0
0
8
0
0
0
0
16
1
0
0
0
0
16
16
0
0
8
0
0
0
0
24
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
2
8
8
1
8
8
0
0
0
8
0
0
0
16
16
0
8
0
0
16
16
16
16
0
24
0
6
0
0
0
0
0
0
1
1
24
0
2
0
0
0
0
0
0
0
16
16
8
1
0
0
2
0
4
4
4
4
4
8
0
0
0
0
4
0
0
8
0
0
0
0
5
5
0
8
8
8
8
8
0
16
16
16
8
0
0
0
0
0
0
0
16
0
8
0
8
0
0
0
0
0
16
0
8
0
28
28
0
0
0
0
0
0
0
0
0
8
0
16
32
0
0
32
32
32
0
0
16
1
0
0
8
8
0
8
8
1
18
18
0
16
0
0
0
0
0
2
2
0
0
0
1
0
32
32
32
32
32
0
0
8
8
0
0
8
8
0
0
0
0
0
16
16
0
16
0
0
0
4
4
0
16
16
6
4
0
1
16
0
0
16
8
8
0
0
0
0
0
0
16
16
8
0
49
16
0
2
16
0
0
0
2
0
0
0
0
0
8
8
0
1
0
0
0
16
0
0
8
0
0
2
2
0
0
0
0
0
0
0
0
0
16
16
8
8
8
0
0
0
8
0
0
0
0
0
0
11
8
8
8
0
16
0
0
0
0
0
1
16
8
4
4
0
8
8
8
4
0
0
8
0
0
16
4
32
0
18
18
0
0
0
40
40
24
0
8
0
0
3
3
0
0
0
8
0
0
8
8
0
0
0
8
2
0
4
0
0
32
0
0
0
0
0
24
0
0
0
0
8
8
8
8
8
0
0
0
4
0
0
16
16
32
32
0
0
0
8
16
0
0
0
0
4
0
16
16
16
0
0
0
8
32
32
0
16
0
0
0
0
2
2
20
8
8
0
0
0
16
0
0
0
0
0
16
8
0
8
8
8
8
0
16
0
8
8
0
0
0
0
0
0
0
0
10
0
0
16
16
24
8
8
8
8
8
0
8
8
0
32
4
4
4
8
40
24
24
0
8
0
0
16
16
16
16
0
4
4
0
0
40
0
1
8
0
0
0
0
12
0
0
0
8
0
1
1
1
1
0
16
0
0
0
16
0
0
0
2
8
8
0
16
0
0
0
0
0
0
0
0
0
0
0
8
16
0
0
2
2
2
0
20
4
0
2
28
0
0
2
0
2
4
8
17
1
1
0
4
56
56
0
1
1
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
2
2
8
8
0
8
8
56
0
0
8
16
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
24
0
0
18
9
4
4
8
2
2
8
20
8
8
8
0
1
1
0
8
0
8
8
0
16
0
0
8
28
16
32
3
16
0
0
8
0
0
0
0
0
32
32
4
0
0
0
1
1
8
8
0
1
1
4
16
32
16
16
8
16
16
0
0
0
16
0
0
17
0
0
1
0
8
8
8
0
0
0
8
1
1
1
0
22
22
0
0
0
0
0
0
0
16
16
0
4
32
8
0
0
6
0
8
4
4
4
8
4
2
0
0
0
0
0
4
8
8
8
8
0
0
16
24
0
0
0
8
8
8
8
0
8
8
8
0
0
2
0
1
1
8
8
0
25
0
0
0
16
0
1
8
0
12
2
32
32
0
0
0
4
8
8
9
0
0
0
5
0
0
8
2
16
16
2
2
0
0
8
0
16
16
16
8
0
0
0
0
2
2
16
16
16
16
16
16
16
16
0
0
1
0
4
0
0
8
0
16
0
0
0
0
0
16
16
0
0
0
0
0
8
4
16
0
0
0
0
0
4
8
0
48
48
4
0
8
8
0
32
2
0
8
1
0
8
16
26
2
2
0
0
8
0
0
0
0
0
0
0
0
0
8
0
8
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
1
4
4
4
0
8
0
0
0
0
0
0
1
8
8
0
8
8
0
0
0
0
0
1
1
4
8
1
8
0
1
0
8
8
8
16
16
16
0
0
32
32
8
1
1
1
24
24
16
16
16
0
0
0
0
0
0
0
48
8
0
2
0
8
8
0
16
4
4
4
4
8
0
0
0
8
8
8
0
26
0
8
8
0
0
0
0
8
0
2
0
16
0
16
16
0
1
0
16
0
0
0
0
8
8
1
17
3
3
3
8
8
4
8
8
8
16
0
0
34
8
16
16
16
0
8
0
0
8
0
0
8
0
0
0
0
0
5
0
0
16
0
0
0
0
3
8
16
16
0
0
16
16
0
32
0
0
0
8
8
8
8
16
52
52
0
0
0
0
0
0
0
0
16
16
0
16
16
0
0
8
8
8
0
0
0
0
8
0
8
0
40
32
32
8
0
0
8
0
8
0
0
0
8
0
0
0
8
8
8
8
16
0
3
3
0
1
4
24
0
0
0
0
0
0
4
4
0
0
0
16
16
0
0
0
0
2
2
0
0
0
0
16
16
8
17
1
1
8
0
16
16
0
16
16
0
0
8
8
8
40
1
8
0
24
16
16
16
0
0
12
12
16
2
8
4
0
1
1
0
0
0
4
2
8
8
5
0
4
8
26
0
0
0
0
0
0
0
0
8
8
8
8
8
0
8
0
0
16
0
0
0
0
0
0
0
0
0
0
0
8
2
2
24
0
0
16
0
0
0
0
0
1
8
0
0
0
16
16
16
0
0
0
0
0
16
16
4
0
0
0
0
0
0
8
0
0
1
24
0
0
2
2
8
0
8
16
16
8
16
0
0
2
0
0
24
0
40
0
0
0
0
0
8
0
4
2
2
2
2
2
2
1
18
18
0
0
0
0
0
0
8
12
21
21
0
0
8
0
8
16
16
16
0
4
4
0
0
8
8
41
4
0
0
8
0
12
1
1
16
8
8
0
0
20
0
14
14
14
8
16
0
0
1
4
0
0
8
4
4
4
0
0
8
0
0
0
4
0
0
0
9
0
2
0
0
0
32
0
0
2
0
0
0
0
8
17
8
0
0
0
0
0
0
0
1
1
8
18
18
0
2
4
8
0
0
4
0
0
16
0
0
0
0
0
8
0
16
16
16
1
4
4
4
0
4
0
0
0
0
8
2
25
25
25
0
0
16
0
8
8
1
8
0
0
4
16
0
4
1
8
16
16
24
24
24
16
8
8
0
8
8
0
0
0
1
0
0
0
0
0
16
9
0
16
0
0
0
8
8
16
8
8
8
1
1
0
16
0
0
16
16
4
4
4
4
4
4
4
0
0
0
0
17
0
0
8
8
8
0
10
8
0
0
0
0
17
0
0
0
16
16
0
4
4
0
0
0
0
0
0
16
0
1
0
0
16
16
0
8
5
8
8
0
8
24
36
0
0
0
0
0
8
8
0
0
16
0
0
0
0
16
8
16
16
16
16
8
0
0
16
16
16
16
4
0
8
8
8
8
8
4
1
20
2
2
2
2
16
0
0
0
0
8
8
0
8
8
8
8
16
16
16
16
0
16
16
0
8
8
0
0
16
0
24
8
16
16
0
0
0
16
0
8
5
0
2
17
17
0
6
16
16
16
8
0
0
16
16
8
0
0
3
0
8
8
8
0
0
0
1
20
0
0
0
1
0
0
0
0
0
0
8
0
1
8
32
32
32
32
32
16
0
16
1
0
0
0
0
16
16
16
0
8
0
1
16
16
0
0
16
0
0
0
8
0
0
0
0
0
0
16
16
8
0
0
0
0
0
8
8
8
0
0
0
16
0
8
0
1
18
0
0
0
0
16
16
16
16
16
8
8
0
0
1
8
8
16
0
0
16
16
8
8
8
8
0
4
4
6
16
32
32
8
0
0
4
0
0
0
0
8
20
0
0
0
0
8
0
0
0
4
0
8
0
0
0
8
0
0
36
0
0
0
0
8
0
0
24
0
1
1
1
1
1
0
0
0
8
8
8
4
0
8
8
0
0
2
2
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
16
8
48
0
0
0
8
4
0
0
0
8
0
0
4
8
0
0
0
0
0
4
16
0
2
25
25
25
8
0
12
16
0
16
0
0
0
0
0
20
16
28
0
0
0
0
0
0
16
40
8
8
0
0
8
8
0
0
0
0
8
0
0
0
16
16
16
16
0
0
0
0
0
0
0
0
9
8
24
8
0
0
8
8
1
16
0
0
0
16
0
0
0
0
0
8
16
0
0
0
0
0
33
33
0
0
0
16
8
0
0
9
6
0
0
16
0
0
8
16
0
0
8
0
0
8
0
0
0
0
0
0
0
16
20
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
2
0
0
4
0
8
2
32
0
8
8
8
16
0
0
0
8
8
8
0
0
0
0
0
8
2
2
16
0
0
0
8
4
0
4
0
8
0
16
1
16
0
0
0
0
16
16
8
8
0
0
0
2
0
0
0
1
0
2
8
2
2
0
1
1
1
0
0
0
16
0
0
0
0
0
0
16
8
8
8
8
0
8
8
8
0
0
0
16
1
0
0
0
0
8
0
0
0
0
4
8
16
16
16
16
16
0
19
0
16
4
8
8
56
0
4
1
0
0
0
0
28
16
16
0
8
4
4
1
1
24
4
0
0
0
1
0
0
1
0
0
8
16
9
8
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
8
0
16
16
0
0
16
16
0
0
0
8
1
1
1
0
16
0
16
16
32
32
0
8
8
2
0
0
0
0
0
0
0
8
0
16
0
1
0
8
2
2
2
16
0
0
8
0
13
0
0
20
16
0
8
8
0
0
0
0
0
8
8
0
16
16
0
16
16
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
18
0
0
0
8
8
8
0
8
36
36
5
0
0
24
24
0
0
8
8
0
8
0
0
0
8
8
16
16
8
24
24
4
0
0
0
0
0
0
0
0
0
8
0
0
0
0
16
0
0
0
0
8
8
32
4
0
0
0
16
0
0
8
0
16
16
0
16
0
0
0
8
0
0
8
8
0
0
0
0
0
0
0
16
0
0
16
0
0
0
0
0
0
0
0
0
4
4
24
0
24
24
0
0
20
0
0
0
0
0
0
0
0
0
1
0
0
0
8
2
16
16
0
1
1
0
16
8
0
2
2
2
2
0
8
0
0
8
2
0
3
0
8
8
8
0
0
0
0
0
0
0
8
0
16
8
8
8
8
8
8
8
8
0
24
16
0
4
0
0
8
0
16
16
0
0
16
0
0
0
1
0
16
52
0
12
12
8
8
0
16
24
4
0
8
8
0
0
0
0
0
16
2
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
2
0
0
8
0
0
0
8
0
16
0
0
0
8
16
16
16
4
4
16
16
0
0
0
0
0
0
0
16
16
3
18
16
0
0
0
8
8
8
8
16
16
8
24
0
0
0
16
0
0
0
1
8
0
0
0
0
0
0
0
8
8
16
18
0
18
24
0
0
0
20
16
4
0
2
0
4
0
0
0
0
8
0
8
8
8
2
0
16
12
8
16
0
8
8
8
8
0
8
16
1
1
0
8
0
0
0
0
0
1
8
0
0
0
4
4
4
4
0
0
0
0
0
0
0
0
8
0
0
0
8
8
8
8
0
0
2
0
0
0
0
8
0
0
0
0
0
8
0
0
1
6
8
8
0
0
0
0
0
0
0
8
0
0
16
16
16
10
0
0
8
8
0
0
0
1
0
0
0
0
0
0
0
0
4
0
1
0
0
0
0
8
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
32
0
0
0
0
0
0
0
0
0
0
8
0
0
0
48
48
5
20
0
0
0
0
8
4
0
0
0
0
0
0
0
0
1
1
12
0
0
16
4
0
32
8
4
4
1
0
0
0
0
8
8
8
32
8
0
2
0
0
8
8
4
4
8
0
0
8
0
4
16
0
0
0
0
16
0
8
16
1
1
1
2
2
0
8
6
2
0
0
24
8
8
8
16
0
18
16
16
16
16
16
8
8
0
0
0
0
0
4
8
0
0
16
16
16
0
0
16
16
0
1
8
24
20
20
0
1
0
8
4
4
4
4
8
0
9
8
0
0
0
0
0
54
32
17
17
0
0
0
0
0
16
0
0
8
1
1
1
0
0
0
0
0
0
8
0
16
8
0
0
16
0
0
0
0
0
0
20
8
0
32
32
1
1
0
0
8
0
8
2
0
0
8
0
0
16
16
8
0
0
0
8
4
2
2
0
0
0
0
0
8
0
0
0
0
0
0
0
2
2
0
0
8
0
8
8
8
8
0
4
4
32
32
8
0
0
8
0
0
6
4
4
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
3
3
0
28
28
16
16
0
0
0
8
0
0
17
0
29
0
0
0
0
0
8
0
4
4
4
4
8
8
8
8
8
8
8
0
0
16
0
0
16
4
12
1
1
1
1
1
0
8
8
0
22
0
2
1
1
0
0
8
34
0
0
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
1
8
0
0
0
0
0
8
8
8
8
0
0
8
0
8
8
8
8
0
1
0
0
0
0
0
0
28
0
0
0
0
8
8
8
8
8
8
8
8
16
16
0
17
8
8
0
0
0
0
0
0
0
0
50
9
0
0
2
0
40
8
0
16
16
0
8
0
0
0
0
0
0
0
0
0
0
0
0
2
2
48
16
0
0
0
0
0
0
4
0
0
8
20
0
0
2
16
0
17
0
25
0
0
0
0
0
16
4
4
0
0
1
0
8
8
1
32
24
24
9
0
0
8
8
20
16
58
58
0
0
32
2
0
0
0
0
0
0
0
0
0
0
2
0
0
24
24
8
0
8
2
0
16
16
0
0
8
0
0
0
0
8
8
0
0
0
0
0
16
0
0
0
0
0
16
8
0
0
0
0
16
0
16
16
8
8
8
8
0
4
4
12
0
4
8
2
2
8
2
1
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
16
24
0
0
0
8
2
4
0
8
0
0
16
16
16
16
0
0
0
0
0
8
0
0
0
0
0
0
4
0
3
9
0
0
16
16
0
16
0
0
0
0
16
4
4
4
20
16
16
16
16
16
0
0
0
0
0
0
4
0
0
1
2
2
8
2
2
2
2
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
4
8
8
16
8
0
0
0
0
8
16
8
16
17
8
0
0
4
12
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
6
6
16
16
16
16
16
0
0
0
8
8
8
0
0
16
16
8
8
8
8
0
8
8
0
4
16
16
4
8
0
0
0
0
0
0
24
24
24
24
24
8
8
1
1
1
1
1
0
0
8
0
0
16
16
16
8
0
0
0
0
0
0
1
1
0
8
0
0
0
1
8
0
0
2
2
2
2
2
48
0
8
0
0
8
0
0
0
0
8
16
1
1
4
0
0
8
8
8
16
0
0
8
0
0
0
8
6
16
16
0
0
0
0
0
0
2
4
41
0
16
0
0
0
0
0
0
0
9
9
9
0
0
16
0
20
20
0
8
0
0
8
4
0
0
0
0
0
0
0
0
1
0
0
0
0
2
0
16
8
8
8
18
0
0
8
0
0
4
19
19
19
0
0
0
8
8
0
4
4
0
8
8
8
16
4
0
8
8
16
1
0
0
0
8
8
8
16
0
0
1
0
0
8
0
0
8
8
32
0
0
32
0
42
0
8
0
0
40
40
0
0
8
9
0
8
0
0
0
3
3
8
0
0
0
0
8
8
16
20
6
8
0
0
16
8
0
2
1
1
0
8
0
0
0
0
12
0
0
4
0
0
0
18
8
16
0
0
0
0
0
0
4
0
4
0
0
0
0
0
0
8
0
16
0
1
1
16
0
0
0
16
16
0
0
0
16
16
12
12
12
0
1
8
8
8
0
0
2
2
0
0
0
0
0
0
2
40
0
0
0
0
4
4
4
4
4
4
8
2
2
2
1
0
8
8
8
0
0
0
0
0
1
0
0
0
0
4
18
18
3
0
0
0
0
0
0
0
0
0
0
0
17
16
16
16
16
0
0
0
8
8
0
0
16
0
0
0
0
32
8
8
8
8
17
0
0
0
24
0
0
8
8
0
16
19
8
0
0
0
0
0
0
0
0
0
36
36
36
16
0
0
0
0
0
0
4
4
0
0
0
0
8
0
0
8
0
0
16
0
0
13
0
32
8
2
2
2
0
0
0
16
16
0
8
16
0
12
8
8
8
0
0
0
0
0
8
8
8
8
8
8
0
0
0
4
16
8
8
8
0
0
0
24
0
20
2
0
0
2
0
8
8
8
1
12
0
0
0
1
8
8
0
0
0
8
0
0
0
4
0
8
0
16
0
1
2
1
0
0
0
0
0
8
8
29
8
0
0
0
0
0
0
0
0
0
8
0
0
4
0
0
0
0
8
8
9
0
0
0
16
4
4
20
20
5
0
16
16
0
0
0
0
0
0
0
8
0
0
0
8
0
0
0
0
0
8
8
8
8
8
8
4
8
0
0
0
4
0
4
17
0
12
0
0
0
0
8
0
1
20
0
16
1
1
32
0
0
0
0
0
37
37
8
1
1
8
0
0
16
1
1
0
0
0
32
32
0
0
1
8
8
0
8
0
8
48
0
16
16
8
18
18
0
0
0
0
0
8
8
32
32
8
8
16
32
32
16
16
16
8
0
8
0
25
1
0
0
0
0
0
24
24
16
17
17
17
8
8
8
0
0
8
0
16
16
16
8
8
8
1
1
8
8
8
18
0
16
0
0
0
0
8
8
8
0
0
0
1
0
0
0
0
0
8
8
16
16
0
0
17
0
16
0
4
0
0
1
0
0
0
0
8
2
2
1
8
21
16
16
0
0
0
0
0
0
0
1
0
8
8
1
0
0
0
2
2
2
2
0
0
0
16
0
16
0
24
0
16
0
0
0
0
0
32
0
0
8
8
2
8
8
28
2
2
0
0
49
49
49
20
0
8
0
0
0
0
0
0
0
0
0
8
0
0
32
32
16
8
8
8
0
0
0
1
16
16
32
0
8
8
0
0
4
4
0
21
21
21
16
16
0
0
0
0
0
12
24
0
16
16
0
0
0
0
0
8
8
8
0
16
0
0
10
10
10
24
24
0
33
33
32
32
32
16
16
16
0
0
0
0
0
0
0
0
0
0
1
0
8
8
0
0
0
0
0
0
0
20
0
8
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
9
0
0
0
0
0
8
8
4
8
8
0
8
8
8
8
0
8
0
40
0
0
32
0
0
0
0
2
1
0
0
0
0
8
22
22
16
4
0
0
0
0
0
0
16
16
16
16
16
16
0
0
0
8
8
32
8
0
0
0
0
0
4
0
4
8
8
0
8
4
8
0
0
0
0
0
1
8
4
8
8
4
0
0
0
24
8
0
0
24
8
8
8
8
8
24
16
16
0
8
1
1
0
16
8
0
0
0
0
0
0
0
10
16
0
0
16
0
0
15
0
0
0
0
0
0
0
6
6
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
16
8
8
10
6
22
22
22
0
0
0
1
16
16
2
8
0
8
16
4
8
8
0
0
0
0
0
0
0
0
0
4
0
0
0
16
0
4
4
4
0
0
2
8
2
3
3
3
3
3
16
0
4
0
0
8
8
12
2
34
2
2
16
0
0
0
32
8
8
0
8
8
8
0
0
8
0
0
16
28
0
16
20
0
16
16
0
0
0
0
0
0
0
8
1
0
0
0
8
8
17
17
10
8
0
0
24
8
1
0
0
0
0
0
0
24
24
0
0
0
0
0
0
0
8
0
32
0
0
0
0
35
35
0
0
0
0
0
0
0
0
0
0
8
36
0
4
0
0
0
16
16
16
4
4
0
16
0
16
16
0
16
0
1
9
4
0
32
4
2
0
8
8
0
16
8
0
0
0
16
16
0
0
0
8
4
4
16
0
0
8
24
24
0
18
0
0
0
19
4
0
8
0
0
33
0
16
8
0
0
0
0
2
0
0
0
0
0
0
24
0
2
2
25
25
25
8
8
0
1
0
0
0
0
0
0
0
0
0
16
0
0
0
18
4
8
8
8
2
2
0
0
0
0
8
0
0
0
16
0
0
12
8
0
0
0
0
8
8
2
0
8
8
20
8
4
4
16
16
0
0
0
0
8
8
2
0
0
0
0
0
0
0
1
8
0
0
0
0
0
0
0
0
8
8
9
0
8
0
4
0
0
0
16
0
8
0
0
16
16
8
0
0
0
0
2
2
2
28
8
0
0
0
24
24
0
16
8
0
8
0
16
8
0
0
0
2
0
12
0
0
4
0
0
24
16
0
0
0
0
2
2
2
8
24
0
0
16
0
0
0
0
0
4
0
1
8
4
1
1
1
16
16
16
16
0
0
0
0
0
8
2
0
16
16
0
0
0
0
2
0
4
0
0
0
8
8
2
0
8
0
0
0
0
8
0
0
16
1
16
0
8
0
16
8
8
8
8
16
16
16
16
0
16
2
1
1
8
8
8
0
25
25
34
34
2
2
16
19
0
12
4
0
12
0
8
8
0
0
8
0
0
8
16
4
0
0
8
8
0
0
0
1
1
1
24
4
2
0
4
0
2
10
10
0
0
0
8
8
6
16
16
0
0
16
16
16
16
16
8
0
0
8
0
0
0
0
0
0
0
2
0
2
8
8
0
0
12
16
0
0
0
1
0
24
0
0
0
0
0
8
8
4
8
16
0
16
1
1
1
10
0
0
8
9
9
0
0
0
0
16
0
8
8
32
0
0
0
8
0
8
8
0
0
8
0
0
0
0
0
0
0
0
0
16
16
0
0
0
8
0
0
1
1
1
1
1
1
4
0
0
16
24
1
1
1
0
8
0
0
0
4
0
20
8
8
16
0
0
0
8
40
18
16
16
24
24
24
24
24
24
24
2
2
0
0
10
2
2
0
0
8
0
0
3
16
8
0
0
0
4
16
0
0
0
0
0
16
16
16
0
0
16
0
0
16
16
22
16
0
0
0
0
0
0
33
0
8
8
8
0
8
24
24
16
16
16
0
0
8
8
0
0
0
0
0
16
0
24
8
0
0
0
0
8
8
12
12
0
0
0
8
0
0
0
0
16
0
0
0
0
0
0
10
16
8
2
0
0
16
2
8
8
0
8
4
32
32
32
0
0
0
0
0
0
8
8
0
17
17
0
0
8
0
0
0
0
0
0
0
0
8
8
8
1
0
8
4
16
0
0
0
0
0
0
16
0
0
0
0
16
0
0
0
4
0
8
8
8
0
8
8
20
20
20
0
16
8
4
4
8
8
0
0
0
0
0
0
0
0
0
8
0
0
16
16
0
0
0
0
16
16
16
16
16
16
16
8
0
8
8
8
16
16
0
40
0
8
8
0
0
0
0
16
9
0
0
16
1
0
0
0
0
0
0
0
0
24
0
8
8
0
0
0
0
0
0
8
0
0
0
8
0
48
48
16
16
16
0
0
4
0
8
0
8
0
16
16
16
8
4
8
8
8
0
8
0
8
8
0
4
4
4
0
8
8
0
8
0
0
1
0
0
0
0
0
0
8
8
0
0
0
4
0
0
0
0
16
16
0
16
16
8
8
8
0
28
4
2
1
0
8
0
0
0
2
0
0
4
4
12
0
8
1
1
0
32
1
0
4
0
4
8
8
8
0
8
16
8
32
0
16
16
18
4
0
1
1
0
10
8
0
24
24
8
0
32
32
32
8
9
0
8
8
8
1
1
1
0
0
4
4
4
36
36
16
1
1
0
0
0
16
0
0
2
16
16
16
16
8
8
0
4
0
8
8
8
8
8
8
0
0
0
0
8
8
33
33
33
0
2
4
0
17
17
17
2
2
16
0
0
0
0
0
16
4
0
0
36
36
36
4
4
20
0
0
16
8
8
8
20
0
0
0
0
0
8
8
4
4
4
0
24
24
6
4
0
0
0
4
8
0
0
0
0
0
16
2
0
34
34
34
34
8
8
16
0
0
34
35
8
16
1
0
18
0
8
0
2
18
0
8
8
0
24
16
0
0
4
4
0
0
0
16
16
8
8
60
32
33
33
0
16
2
0
48
48
48
48
48
48
48
48
48
48
0
8
0
16
24
8
0
0
8
8
8
8
0
2
0
0
0
0
0
0
0
16
16
16
1
0
8
8
8
16
16
0
0
0
4
0
0
0
40
16
16
0
0
0
0
1
1
16
24
24
40
1
1
1
2
2
17
1
1
0
8
4
4
4
4
4
4
16
0
16
16
16
0
0
0
0
0
0
0
0
0
8
8
8
2
0
0
8
8
0
0
16
0
24
24
0
0
0
8
0
0
0
0
0
0
0
0
0
9
9
32
32
24
0
0
0
0
0
28
8
8
4
16
16
0
28
28
28
28
28
2
8
8
0
0
0
0
1
0
0
16
16
2
16
16
0
0
0
34
34
24
0
0
9
0
0
0
0
0
0
0
0
12
8
8
8
8
16
16
0
0
0
16
0
25
25
0
8
8
0
0
0
34
34
0
0
2
2
1
1
4
8
8
0
16
2
0
0
0
16
16
16
8
8
8
0
0
0
0
8
0
16
4
4
0
9
8
24
24
0
0
0
25
16
0
0
24
24
16
0
1
1
0
0
8
0
1
1
2
0
4
12
16
16
0
16
16
16
4
4
8
8
8
8
0
0
0
0
0
0
4
4
0
1
1
1
8
1
4
8
2
2
0
16
16
0
0
0
0
32
8
0
2
2
2
2
0
2
2
0
0
56
0
0
4
4
12
0
32
0
1
0
0
2
0
0
16
0
8
8
2
0
0
0
0
0
0
8
8
8
8
8
8
16
0
4
0
0
16
16
28
16
0
8
8
16
0
16
0
8
16
8
16
16
16
4
40
16
0
8
0
0
8
16
0
0
16
16
16
16
8
20
20
8
8
16
8
0
0
16
0
0
0
8
16
16
0
1
24
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
4
4
0
0
1
1
0
0
8
4
4
0
2
2
48
0
0
0
0
0
0
0
0
4
0
0
0
0
16
16
8
8
0
0
0
0
20
10
4
0
36
8
36
8
0
0
0
8
8
8
1
8
8
16
0
0
2
2
0
4
1
16
0
0
0
16
1
0
0
0
8
16
16
16
16
16
0
0
0
0
0
0
0
16
16
16
16
16
16
0
0
0
0
16
8
0
0
0
0
0
0
0
16
0
0
0
0
0
0
16
16
16
0
16
22
22
22
0
0
0
0
16
10
10
8
0
0
0
0
9
9
8
4
0
0
16
16
16
1
5
0
0
0
16
16
16
16
0
2
4
0
0
0
4
0
16
0
0
0
0
39
0
0
0
8
0
0
0
0
0
0
0
0
0
8
8
8
8
8
8
0
0
33
0
8
0
32
4
0
4
4
0
1
0
0
0
0
0
0
0
0
4
0
0
16
16
16
0
24
24
0
0
0
0
1
1
16
24
16
16
16
0
28
28
28
28
0
0
16
16
0
8
8
0
0
2
8
8
0
0
8
16
0
0
0
27
27
27
16
0
0
0
1
8
16
0
0
8
0
0
0
0
0
0
0
0
16
16
3
0
24
16
16
16
16
16
16
0
0
0
0
0
0
0
16
0
0
0
0
0
8
8
0
0
4
8
8
8
8
8
8
8
8
0
0
0
2
8
0
0
0
0
0
26
0
32
4
0
17
12
0
15
0
4
4
4
20
16
16
0
8
8
0
0
0
16
0
4
8
8
1
1
1
1
1
0
32
16
8
8
2
2
0
0
0
0
33
0
0
16
16
0
3
3
8
24
24
0
0
0
0
0
8
0
8
8
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
1
0
0
0
8
17
0
0
0
0
1
1
0
0
24
4
4
4
0
16
16
0
0
0
0
0
0
0
0
22
22
20
20
0
0
0
12
16
32
0
0
0
24
0
0
4
16
0
18
0
9
16
0
16
0
0
30
8
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
8
8
1
16
4
16
0
0
0
0
8
8
0
16
16
0
0
0
0
0
0
8
8
0
0
0
0
0
4
8
8
0
8
4
0
0
16
8
8
0
8
16
8
1
1
0
0
0
0
8
1
0
40
0
32
0
8
0
0
0
0
0
8
0
0
1
2
0
0
33
0
0
0
1
1
1
1
0
8
0
0
0
0
1
16
5
12
0
0
23
0
16
0
16
0
0
0
8
32
16
4
4
0
16
8
0
0
0
0
16
8
8
8
4
4
4
0
0
1
0
16
16
8
8
0
0
0
0
0
0
0
8
0
0
0
0
0
16
2
1
8
16
16
16
0
0
8
16
2
0
8
8
0
0
0
0
16
16
0
0
0
8
0
0
0
2
0
0
0
8
0
8
0
0
0
18
16
0
8
16
16
0
0
0
8
16
9
16
16
22
8
4
0
8
16
16
0
0
0
0
0
0
8
0
0
8
8
8
8
8
0
0
0
0
0
4
4
0
8
24
8
0
16
0
0
0
0
0
0
0
0
0
0
0
16
8
16
16
16
0
24
24
8
1
0
0
0
0
10
0
0
16
20
20
20
20
17
16
16
4
0
0
0
0
0
0
2
8
2
2
32
8
0
0
0
0
8
8
8
0
0
0
8
0
0
0
16
16
0
0
8
0
8
4
0
16
0
0
0
0
0
16
40
0
0
0
0
16
8
0
8
16
8
0
0
0
0
0
0
8
0
8
8
0
0
16
16
0
0
0
0
8
2
16
0
8
8
8
8
8
8
0
0
0
16
8
8
0
18
0
0
0
0
0
0
0
8
9
0
4
16
0
0
0
2
2
8
0
0
4
4
0
28
4
4
16
16
16
16
0
8
0
16
8
16
24
16
4
4
0
16
16
16
16
16
8
8
8
8
0
21
5
0
0
0
0
0
0
0
0
0
8
8
0
0
0
8
20
1
1
16
8
0
0
1
0
8
8
0
1
1
8
0
0
16
0
8
6
6
0
8
8
0
0
0
0
0
8
8
0
0
0
10
10
4
4
27
32
8
0
0
0
20
0
0
17
0
0
0
0
0
0
0
8
8
8
8
8
16
8
8
0
0
8
16
0
0
0
34
4
4
0
0
0
0
0
0
8
22
22
0
16
16
16
0
1
1
1
1
1
0
0
0
21
0
16
16
16
17
17
0
16
16
16
16
0
0
16
8
7
0
0
0
8
0
16
0
0
0
8
16
8
18
16
32
21
0
0
4
1
1
0
0
0
0
33
0
0
0
0
16
16
0
0
17
0
0
8
0
6
0
8
8
8
8
8
2
2
0
0
0
0
48
0
0
40
32
0
0
0
4
4
16
0
8
0
0
0
0
8
16
0
25
1
0
0
0
2
0
4
0
0
0
16
16
16
0
0
17
33
8
16
0
4
0
0
0
0
4
0
0
0
20
20
0
0
0
0
0
0
8
8
0
0
0
8
8
0
34
0
0
16
8
0
0
0
12
12
12
12
0
16
0
16
4
8
0
0
8
8
1
0
8
8
8
8
8
8
1
0
0
8
8
0
16
0
8
8
8
4
2
0
16
4
0
0
0
8
8
0
0
0
0
0
0
8
8
8
8
8
17
0
0
0
0
2
0
16
16
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
4
2
8
0
0
0
16
0
0
0
16
2
0
4
16
8
8
2
2
2
2
2
2
0
8
0
4
1
0
0
0
0
0
0
8
0
0
0
0
8
8
0
0
0
16
16
0
0
0
0
16
16
1
1
1
0
4
4
4
4
0
0
4
4
4
0
0
0
8
0
0
0
0
0
0
0
0
16
16
0
0
0
0
16
0
0
0
8
8
0
0
0
0
0
8
16
0
0
0
0
0
0
0
0
0
1
16
16
2
16
0
0
16
16
8
0
0
1
0
8
0
0
0
0
0
2
0
38
8
0
0
16
0
8
4
0
8
0
8
32
0
32
13
4
4
4
0
0
0
0
0
16
16
0
0
0
0
16
0
1
1
16
0
0
16
0
0
0
0
2
2
24
24
9
4
0
0
0
0
0
4
8
16
16
0
16
2
24
4
0
16
0
0
0
0
2
0
16
0
0
0
0
0
0
0
16
0
20
34
1
1
1
16
8
16
16
32
19
0
0
0
0
0
0
0
8
0
0
0
0
8
0
8
2
2
0
0
0
42
0
4
0
2
0
16
16
16
16
16
0
0
0
0
0
8
0
8
0
0
24
38
8
20
1
1
0
0
0
0
4
4
0
24
32
32
0
0
0
16
16
8
8
0
0
0
4
24
24
20
0
0
0
0
0
0
0
16
16
16
1
0
4
8
0
0
0
8
8
0
0
8
0
8
8
0
16
8
4
4
4
8
8
0
0
0
0
4
0
2
0
0
0
16
16
4
24
0
0
0
0
8
8
8
0
0
0
0
0
25
25
25
25
25
0
0
0
0
17
0
8
0
16
16
0
0
1
0
0
32
0
0
0
0
16
16
16
4
0
0
0
8
4
0
0
0
1
0
8
24
8
0
0
0
1
8
8
8
0
4
0
0
0
0
0
16
0
0
16
32
0
0
24
0
0
0
0
0
8
0
1
8
4
0
0
16
0
8
1
0
0
0
24
0
0
16
0
0
0
1
1
1
8
8
0
1
8
8
0
0
1
1
0
0
8
8
0
0
0
8
0
0
0
8
30
0
0
0
8
0
18
18
16
0
0
0
0
0
0
12
12
2
16
2
2
16
0
0
16
0
0
0
8
16
0
4
0
0
0
0
24
0
36
36
0
0
12
0
0
4
16
0
0
0
0
8
8
8
8
8
8
0
0
0
32
8
0
0
4
8
8
8
8
8
0
8
8
8
8
8
8
2
0
5
0
0
0
0
0
20
8
8
8
8
8
8
4
4
4
4
0
8
0
0
0
0
17
17
16
8
8
2
2
2
2
2
0
16
8
16
2
0
8
0
0
0
0
8
1
0
16
32
28
0
8
0
32
32
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
16
16
0
22
22
0
0
16
16
16
16
0
32
0
0
0
0
0
16
0
0
16
32
4
0
0
0
26
8
8
8
4
0
24
24
19
0
0
0
0
0
0
4
0
0
0
16
0
8
8
0
0
1
1
1
16
0
0
0
0
0
0
0
0
25
0
8
8
0
0
24
24
8
0
0
0
0
0
0
0
24
24
24
0
16
0
0
0
0
0
0
8
16
1
0
8
16
0
0
0
16
16
16
16
0
8
0
0
8
0
8
8
0
16
16
8
8
0
0
0
8
8
8
8
26
0
32
32
32
0
0
0
0
0
8
8
4
4
4
0
16
16
16
16
2
2
0
8
0
16
16
16
0
0
8
8
8
12
12
8
8
8
16
8
8
0
4
0
0
10
10
16
32
0
0
0
0
16
17
8
8
16
1
16
16
0
0
0
0
16
16
0
0
8
16
0
4
4
4
4
0
0
0
8
8
8
2
2
16
0
0
0
4
0
0
0
8
8
8
0
2
2
0
0
8
0
8
0
0
0
16
8
8
8
8
40
8
0
0
32
8
8
8
1
0
0
8
0
0
0
0
0
0
0
0
4
16
7
7
4
4
0
0
0
8
0
2
2
0
8
0
0
16
0
0
0
0
0
1
0
0
0
0
0
16
0
0
0
8
0
0
0
40
0
0
0
0
0
0
0
1
0
24
0
8
8
40
20
4
0
2
0
0
0
0
0
0
0
8
8
8
0
0
0
8
8
8
0
0
4
4
0
24
0
0
6
6
32
0
8
0
9
16
16
0
8
16
0
0
8
8
48
0
8
2
0
8
33
2
2
8
8
0
0
0
0
8
0
0
0
0
16
56
56
56
8
3
1
8
0
0
1
0
16
16
8
8
0
8
8
8
8
8
0
33
33
0
0
16
16
2
0
16
0
0
0
8
0
8
1
16
0
0
8
0
0
0
16
16
18
18
18
8
0
0
0
32
0
0
0
4
12
0
0
8
8
0
0
1
0
16
16
0
0
8
0
32
0
0
0
0
8
8
0
32
0
2
16
4
0
47
0
0
8
0
8
0
16
16
4
32
0
6
0
12
8
8
8
8
8
8
0
16
0
0
0
8
8
4
0
0
0
16
0
0
16
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
8
0
19
19
8
8
8
8
0
0
0
16
6
0
8
0
0
32
0
0
0
0
1
1
8
4
4
8
8
0
0
8
8
8
0
0
8
8
0
0
16
0
0
8
0
16
0
0
0
8
0
0
0
0
0
0
0
0
33
33
8
8
8
8
1
1
9
4
4
4
8
0
16
0
16
16
16
0
32
24
8
0
24
0
0
0
0
0
8
8
8
0
0
26
26
0
8
8
8
8
0
8
8
1
1
16
0
8
0
0
0
16
0
32
0
8
0
16
24
0
16
0
4
4
4
0
0
0
16
24
24
0
0
24
8
0
0
0
0
0
0
0
0
0
5
5
5
20
20
8
16
0
24
24
0
2
2
0
0
16
0
0
0
0
1
24
24
24
8
8
0
0
0
0
8
1
1
1
0
0
8
8
24
8
0
0
0
8
0
8
0
0
0
0
0
24
8
1
16
16
0
0
0
0
1
1
0
0
0
0
40
0
0
0
0
0
0
0
0
8
0
16
0
16
16
16
0
0
0
0
8
0
0
0
0
0
1
0
0
0
0
0
0
0
4
0
0
16
8
0
0
8
8
32
32
0
14
14
0
8
0
0
0
0
0
0
0
16
16
16
0
0
0
0
0
0
0
28
0
0
0
8
4
16
16
0
3
3
3
8
8
16
0
0
16
0
2
16
0
0
0
0
8
0
0
0
0
0
0
0
8
16
0
0
0
1
1
0
0
0
0
6
0
0
16
16
16
16
0
0
16
16
16
16
0
0
0
1
0
2
4
19
19
4
0
0
0
0
2
2
4
4
16
0
16
2
16
16
0
0
1
1
4
0
28
0
0
0
1
1
8
0
24
8
8
16
8
8
0
8
0
0
0
1
16
16
16
16
0
8
8
8
8
16
16
16
16
8
0
0
1
0
0
28
28
16
8
2
16
0
0
24
8
8
0
0
37
0
16
0
16
16
4
0
0
4
32
0
0
0
0
0
0
24
16
8
8
0
0
1
2
41
9
0
16
16
0
0
16
0
0
0
8
8
8
8
8
8
0
0
8
0
0
0
0
0
0
4
0
0
0
0
0
8
0
8
0
0
0
24
24
0
28
0
4
8
0
8
0
0
0
0
0
0
49
2
0
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
8
0
8
14
14
32
3
0
0
8
0
0
0
0
0
32
0
0
1
8
8
24
8
8
0
0
16
1
0
0
0
8
8
0
1
16
0
8
8
0
6
0
24
0
0
0
0
0
0
0
0
20
4
24
16
16
16
16
16
16
8
4
8
0
0
0
0
0
0
0
0
16
16
0
8
8
8
8
8
6
0
8
0
0
0
0
24
0
0
0
8
8
0
0
8
8
8
8
0
0
0
8
18
18
16
16
8
8
8
0
0
8
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
16
16
0
1
10
10
10
10
10
10
40
0
40
0
8
8
0
0
0
16
16
16
16
0
0
0
0
0
0
1
0
0
4
4
0
0
0
8
0
16
8
8
8
2
2
2
0
0
16
0
1
1
40
40
8
8
8
0
17
8
8
0
0
0
8
0
0
0
0
10
10
16
0
4
4
4
0
2
0
0
1
0
0
16
16
16
16
16
0
16
8
8
8
8
0
16
16
0
0
8
0
0
8
0
16
10
0
4
0
8
8
0
0
8
16
3
0
0
0
0
0
0
0
0
0
8
0
0
16
8
8
16
16
0
0
16
16
16
16
8
8
8
16
0
0
0
0
2
8
0
8
8
8
16
4
4
8
8
8
16
0
0
0
8
8
8
0
0
0
0
16
16
16
16
16
57
57
0
0
20
0
8
8
16
8
0
0
56
0
0
0
0
8
8
8
0
4
4
4
0
0
0
40
0
8
0
0
16
16
16
8
16
2
4
0
0
0
16
8
0
4
2
0
0
0
16
0
16
0
16
8
16
1
0
0
4
1
0
0
0
0
8
8
4
0
0
0
8
16
0
0
0
0
16
16
16
16
0
8
0
16
0
0
0
16
16
16
0
10
8
8
8
8
0
0
0
8
10
16
8
2
2
2
0
0
0
8
8
16
0
16
8
8
0
0
0
0
8
8
16
16
16
16
16
16
13
16
8
8
0
4
4
0
0
0
0
0
32
32
0
8
0
0
0
0
16
16
4
24
6
16
16
13
13
0
0
8
8
1
4
4
20
0
0
0
0
4
4
4
0
1
0
0
1
0
0
8
2
0
8
4
0
0
24
1
16
16
0
0
16
16
0
0
0
1
0
8
8
8
8
18
16
32
8
8
8
8
8
0
16
0
0
0
2
9
9
0
0
0
32
4
4
0
0
16
1
16
0
0
0
16
0
0
8
8
0
0
0
0
0
32
32
32
32
8
0
2
0
8
0
0
16
0
0
0
16
0
16
0
0
48
1
2
2
8
16
16
0
26
0
0
8
0
16
0
8
8
16
0
0
0
2
8
1
32
16
0
0
4
0
0
2
0
0
16
8
0
0
8
8
1
16
16
8
8
8
1
16
16
0
26
8
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
8
16
0
0
0
0
0
8
0
1
16
8
0
0
24
1
1
0
0
0
0
0
0
0
16
0
0
0
0
8
0
0
0
0
0
0
16
2
0
0
8
8
8
16
16
16
0
8
0
0
0
0
8
1
0
0
0
0
0
0
0
4
4
12
0
32
32
32
0
4
0
0
0
3
3
0
0
0
0
1
1
0
0
0
0
0
0
0
0
16
16
0
8
0
0
0
0
0
0
8
8
8
8
0
0
0
16
16
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
8
8
8
0
0
16
0
0
10
24
0
3
0
0
0
8
1
0
4
4
4
4
4
0
8
8
16
16
16
8
0
2
16
16
16
32
8
11
11
8
0
0
0
2
16
16
8
0
16
0
8
0
16
16
16
0
0
16
0
0
4
4
0
1
0
8
8
0
0
0
0
0
0
25
25
16
0
0
0
0
1
1
0
8
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
8
3
24
24
24
24
8
17
8
8
0
0
0
8
0
0
0
32
52
0
4
0
8
8
9
16
16
16
16
0
0
0
0
0
16
0
0
0
17
10
0
4
0
0
0
12
0
1
0
8
0
8
8
16
8
0
0
0
16
16
1
2
2
16
16
0
0
8
0
0
0
0
0
0
4
0
8
48
0
0
0
0
0
0
16
16
16
8
8
8
0
16
0
0
10
10
10
0
29
0
16
1
1
0
8
32
4
4
0
0
0
0
0
0
2
2
0
0
4
16
0
12
8
8
0
0
24
0
0
0
0
0
8
20
20
20
1
16
16
16
16
4
4
4
4
16
0
0
0
0
0
0
16
0
0
0
0
8
0
2
0
1
1
4
4
2
2
0
0
8
0
12
16
16
0
16
0
16
0
0
0
0
0
0
0
0
0
9
28
24
24
24
24
8
0
0
0
0
0
0
0
0
8
0
9
0
4
4
2
0
0
16
16
24
1
0
8
24
0
0
0
1
1
1
1
1
0
0
8
8
4
4
4
4
4
0
4
4
4
0
16
2
0
16
8
0
0
16
0
0
1
0
0
0
0
0
0
0
8
0
8
8
8
8
18
0
8
8
0
16
16
16
0
0
16
16
16
16
1
0
0
0
0
0
0
1
1
25
25
25
16
0
0
0
20
20
49
49
0
8
0
0
0
0
20
16
16
0
8
0
4
1
1
17
17
17
0
0
0
8
0
0
32
16
8
0
16
16
0
24
0
4
0
0
0
0
0
0
0
8
0
0
0
0
0
0
8
2
1
1
1
1
1
9
0
0
0
4
4
16
16
8
8
0
8
0
0
0
0
2
32
32
16
0
0
0
0
1
1
0
0
0
2
4
4
16
3
16
8
8
0
0
0
4
4
16
0
0
0
0
0
16
0
16
0
0
0
0
16
16
4
56
1
8
0
4
0
0
0
0
0
8
0
0
0
0
0
8
0
8
8
0
4
16
16
0
0
0
0
16
16
16
16
16
16
0
8
12
12
12
16
16
16
12
4
0
4
1
1
1
1
1
1
16
24
4
2
0
0
0
0
0
16
4
16
4
4
8
0
0
16
8
8
8
0
0
0
0
0
0
0
0
0
8
0
33
0
0
0
0
0
16
0
0
0
0
1
0
8
0
8
8
8
0
8
0
0
0
40
32
0
8
8
0
0
8
8
4
0
0
10
16
16
0
8
8
16
0
12
12
12
0
24
24
24
0
32
2
0
0
0
0
8
8
8
8
32
8
0
0
0
0
4
4
0
0
0
8
8
4
0
0
0
2
0
0
0
0
0
0
0
0
0
0
2
2
0
0
16
0
0
0
8
4
8
0
0
8
16
16
8
12
16
16
8
17
8
8
8
0
2
4
0
0
0
16
8
0
0
0
0
8
16
8
9
9
0
2
0
0
0
0
0
0
2
0
16
0
0
0
8
0
26
0
1
0
0
32
32
32
32
16
0
0
0
16
0
0
0
0
0
0
0
0
4
16
8
0
8
8
8
8
16
1
0
0
8
0
0
16
0
0
8
8
0
34
34
4
8
16
0
0
0
8
8
0
0
16
16
0
0
8
4
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
32
0
16
16
0
0
0
8
8
0
0
8
0
0
0
0
13
2
1
4
0
0
8
1
8
0
8
0
16
0
7
1
0
0
0
0
0
8
0
16
8
0
0
0
0
0
12
0
0
0
0
0
24
0
0
0
16
8
0
0
5
5
0
0
0
0
0
6
0
8
0
16
0
0
2
0
0
0
0
0
1
0
0
8
0
0
0
24
4
2
8
2
8
16
0
16
0
0
1
30
8
0
8
8
8
8
0
8
8
0
0
0
0
4
0
0
0
8
0
0
0
0
8
8
0
0
0
21
4
1
0
16
16
0
0
0
0
0
0
0
0
0
0
0
48
8
1
0
0
0
0
8
8
8
8
0
0
0
0
0
1
0
0
0
16
10
8
8
1
16
0
8
0
0
0
0
2
32
16
16
0
8
32
10
0
16
16
0
8
16
16
2
2
2
0
0
0
16
2
0
1
1
4
0
8
8
0
0
0
16
0
0
0
0
0
8
0
8
8
8
0
8
16
0
16
0
0
8
0
0
0
0
0
0
0
8
8
0
0
10
0
0
0
4
0
0
16
8
8
0
8
8
0
16
16
0
0
0
0
0
0
0
0
0
8
8
8
2
0
9
0
0
19
19
4
0
0
0
0
0
0
8
1
16
16
4
4
8
8
8
0
0
0
4
0
8
6
6
8
0
0
0
0
0
8
0
0
0
4
5
0
0
0
16
16
16
8
0
0
0
32
0
0
0
0
8
8
8
0
9
2
0
8
8
8
8
24
0
0
9
0
0
0
0
16
21
8
0
0
0
0
16
16
0
0
0
0
0
24
0
8
8
8
0
0
0
0
8
0
8
8
4
8
8
0
16
8
2
2
2
2
8
8
0
0
0
16
0
0
1
0
16
0
0
0
0
2
16
16
8
0
0
0
8
17
0
0
0
0
0
0
0
0
16
16
16
16
0
24
0
8
24
0
0
0
0
0
0
0
0
0
16
16
0
0
0
2
0
16
8
1
8
24
24
8
0
32
32
0
0
0
4
16
0
0
8
0
0
0
0
0
16
0
8
12
12
16
0
0
4
16
16
0
16
16
0
0
0
0
0
1
0
0
0
0
8
8
0
0
24
16
0
0
0
0
8
3
8
8
0
0
16
16
0
1
0
6
0
0
0
8
0
4
1
1
0
0
0
0
0
2
16
0
0
24
0
16
0
0
20
0
0
0
1
40
40
8
16
0
0
8
0
0
0
0
0
0
0
0
16
16
0
0
0
2
18
0
0
16
16
0
10
18
0
16
16
0
5
0
0
0
0
16
0
8
32
8
16
16
0
0
8
0
0
16
16
0
8
0
0
0
4
0
0
0
0
4
0
0
0
0
0
16
0
9
9
9
8
0
16
16
16
0
0
0
8
8
8
0
0
4
4
0
16
0
8
0
0
0
0
0
8
0
8
4
4
4
1
0
0
0
16
0
0
0
0
0
8
8
0
5
8
8
1
8
0
0
0
16
0
16
16
16
16
0
16
16
28
1
0
0
0
0
0
16
8
8
0
8
8
8
8
8
0
16
8
0
20
0
16
16
16
0
0
16
0
0
43
43
0
0
0
0
0
0
8
12
0
0
0
0
0
0
0
0
0
0
0
18
0
40
0
0
8
12
0
16
0
0
0
0
2
0
0
0
0
0
0
0
0
8
0
8
0
8
8
0
8
8
16
0
16
16
8
8
8
0
2
2
2
2
0
0
0
0
0
8
50
8
16
0
0
16
10
0
0
0
4
24
24
0
0
0
8
0
0
0
0
1
1
1
1
3
0
0
14
0
14
0
0
0
0
0
0
0
0
1
1
0
0
0
8
16
16
0
8
16
8
0
0
16
2
0
0
0
0
0
16
0
16
8
8
8
24
0
16
8
0
0
0
0
0
0
28
0
0
0
18
8
4
57
57
8
0
0
0
0
8
8
8
0
0
0
0
16
0
8
8
8
8
0
0
8
8
0
8
8
16
16
8
8
0
0
8
0
2
8
8
16
0
8
0
0
0
0
0
0
8
8
0
8
8
0
0
0
0
0
8
2
16
0
8
8
0
0
0
8
24
4
0
0
0
1
16
9
24
0
0
1
1
0
8
8
1
8
0
8
24
16
4
0
8
8
0
0
0
0
8
0
0
5
0
0
4
0
0
0
0
0
4
0
0
0
2
0
0
1
1
0
0
0
29
0
0
0
0
0
0
0
8
8
16
0
0
8
0
0
2
2
16
0
16
8
0
1
0
0
8
8
16
8
0
16
16
8
8
1
0
0
0
0
0
0
0
8
8
8
8
2
16
8
57
57
57
0
0
2
0
0
0
0
0
0
8
8
8
0
0
1
0
4
14
0
8
8
0
8
0
0
0
0
21
16
8
0
16
0
8
0
0
0
34
34
4
0
0
0
0
16
0
8
0
0
0
8
0
2
4
0
1
1
0
0
0
0
2
0
0
0
0
60
0
0
0
16
0
8
8
4
4
0
0
0
5
5
0
0
4
0
8
8
16
8
0
26
0
1
0
0
0
16
0
0
0
0
8
0
4
0
0
0
0
1
4
0
8
8
16
0
1
1
0
0
48
48
48
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
32
0
0
32
8
0
8
1
0
0
6
6
4
0
8
0
0
0
8
8
8
0
0
8
0
0
8
0
0
0
0
0
19
0
0
0
0
0
0
24
24
0
0
0
0
0
2
2
0
8
16
16
24
0
0
0
0
0
0
0
0
0
0
8
2
2
4
0
8
8
8
0
0
0
0
0
0
0
4
8
8
0
0
0
0
0
8
1
8
0
16
16
16
0
0
12
0
8
0
0
0
0
0
0
0
16
0
0
0
0
17
4
0
0
0
8
0
0
0
0
0
0
0
0
0
0
12
0
8
8
0
8
16
0
0
0
0
6
6
0
4
24
0
0
10
16
16
16
0
17
17
0
0
2
2
2
0
4
0
1
0
8
4
0
0
2
0
0
10
0
0
0
0
0
16
0
0
16
4
4
4
4
4
0
0
18
20
0
0
0
0
0
0
0
0
0
0
0
0
0
0
6
6
0
8
0
0
8
4
0
0
0
0
30
0
8
8
8
0
0
0
0
2
1
1
1
0
24
24
0
0
0
2
2
0
8
37
0
0
8
4
4
0
0
8
8
0
0
4
0
0
16
0
0
0
8
0
8
8
8
0
0
12
12
8
8
8
0
0
0
8
0
0
0
8
8
0
0
8
0
0
0
0
0
0
8
4
2
16
8
4
4
16
0
0
4
0
8
8
8
16
8
1
1
0
0
4
4
4
16
0
0
16
0
0
0
0
0
0
0
0
2
0
0
0
18
16
0
0
8
8
8
4
8
0
1
0
24
24
0
0
16
24
8
8
8
8
0
8
8
4
4
0
8
8
8
0
0
0
0
0
0
0
0
1
4
8
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
8
0
10
8
16
16
0
0
20
20
32
58
0
40
40
0
2
8
0
1
1
1
0
0
16
16
8
0
0
0
0
16
0
0
0
0
1
1
1
1
0
0
8
8
8
8
0
0
0
0
8
16
24
0
0
0
0
0
20
20
20
0
4
16
16
0
0
0
0
0
0
0
8
16
0
0
18
2
28
28
0
0
8
8
8
8
8
4
17
0
16
0
0
0
0
0
0
16
16
0
0
0
0
8
8
0
0
0
8
0
8
1
17
0
0
0
0
0
0
0
0
0
0
16
8
0
0
0
0
0
0
2
0
8
8
0
0
0
16
16
16
0
0
0
0
0
16
0
16
2
0
0
2
0
0
8
40
8
0
0
0
0
8
0
0
0
1
1
0
0
0
0
0
0
10
0
0
0
4
8
8
8
25
35
35
0
0
0
0
24
24
24
8
8
0
10
10
0
16
8
0
0
0
21
0
0
0
8
0
0
0
8
0
0
0
0
16
16
0
0
16
9
8
11
16
0
8
0
16
0
0
20
16
0
8
8
0
0
0
8
8
8
8
0
0
0
0
0
0
0
8
0
0
0
0
16
1
1
4
0
0
0
16
16
0
8
0
0
16
16
17
0
0
0
3
3
3
0
2
0
0
0
0
8
0
0
2
2
2
0
0
0
0
0
2
2
2
0
4
8
8
0
0
1
0
8
16
0
0
0
0
0
0
2
0
16
0
0
16
16
16
0
0
26
16
0
0
8
8
8
0
0
0
8
8
8
8
0
0
0
0
0
4
10
8
0
0
8
4
4
0
0
0
0
8
0
0
16
16
16
0
0
0
0
0
1
0
16
8
0
0
8
8
16
16
8
16
0
8
0
0
20
0
0
12
12
12
12
12
12
0
0
0
0
0
0
16
0
18
32
1
1
0
0
8
8
0
16
16
32
8
0
16
8
0
0
4
0
0
20
16
0
0
0
8
8
0
0
6
8
0
0
0
0
8
0
0
0
0
0
0
1
1
8
8
4
4
16
0
0
0
16
8
5
5
1
0
8
0
0
0
1
1
1
1
1
0
8
8
8
8
0
0
0
0
0
0
0
0
0
0
17
17
0
30
0
0
16
0
0
4
0
0
6
0
16
16
0
0
8
0
2
2
0
0
8
8
0
0
0
0
0
0
0
0
0
0
16
0
0
32
0
8
48
0
0
0
0
0
0
0
4
4
2
0
0
4
8
8
8
32
0
16
16
0
8
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
2
2
0
0
0
0
20
20
20
20
20
0
0
0
0
0
0
8
0
8
16
2
4
4
8
8
16
0
0
2
2
0
0
0
0
0
0
0
1
1
8
0
9
0
0
0
0
16
16
6
0
16
16
0
16
16
8
0
0
0
4
24
0
0
24
4
8
16
17
4
4
4
4
4
0
8
16
8
16
0
0
1
13
2
0
0
16
0
0
0
8
0
4
4
2
2
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
40
40
8
16
0
0
0
0
0
0
57
57
57
57
24
8
8
8
0
8
0
0
0
0
36
32
32
0
0
8
0
0
0
0
0
0
0
8
0
0
16
8
16
0
0
0
0
0
8
42
8
10
0
0
0
4
0
0
0
0
0
8
8
0
16
8
8
0
0
0
1
8
8
0
0
0
0
32
8
4
16
16
8
0
48
16
16
8
8
0
0
8
8
0
0
0
25
0
2
8
8
0
0
0
8
40
0
0
0
8
8
0
16
0
0
0
0
0
0
8
8
16
8
0
48
0
0
16
1
8
0
10
10
8
0
0
0
16
0
0
0
0
0
2
16
0
8
0
2
2
2
8
16
16
16
0
16
0
0
4
0
19
16
16
0
0
0
0
8
16
0
16
0
0
4
0
8
0
0
0
0
8
0
0
0
16
16
0
0
0
0
0
0
0
0
0
52
32
0
0
0
0
0
0
10
10
4
0
0
0
0
0
0
0
0
0
16
8
0
0
0
0
2
0
0
0
0
0
0
16
29
29
29
29
29
29
29
0
40
0
0
0
0
0
0
0
0
8
8
0
0
0
8
0
0
0
8
0
0
0
8
0
0
0
4
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
8
0
0
2
0
0
0
0
0
8
0
0
0
0
0
0
0
8
8
16
0
0
0
0
0
8
1
16
0
32
0
8
0
0
0
0
0
0
0
0
0
0
2
0
2
0
4
0
16
16
16
16
16
16
0
0
0
0
0
0
0
0
8
44
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
16
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
16
16
16
16
8
0
0
0
0
0
0
0
0
0
8
0
0
0
18
0
24
1
1
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
8
16
0
16
1
0
2
2
1
16
0
0
0
0
24
8
8
0
8
0
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
0
8
16
16
16
0
0
2
0
1
10
0
0
0
0
0
0
0
8
0
0
0
8
0
16
0
8
2
2
0
0
16
0
0
0
0
0
0
40
8
2
0
28
0
4
0
0
0
0
8
8
9
9
0
0
0
0
4
0
0
0
0
0
0
0
8
8
0
0
0
0
0
16
16
4
0
0
4
0
0
0
2
2
8
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
16
1
8
1
0
8
0
16
16
0
0
0
0
0
0
0
0
0
0
8
0
8
0
0
0
16
0
0
0
0
24
0
0
0
4
4
8
0
0
0
2
0
0
0
0
0
0
0
0
0
0
1
16
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
1
1
16
8
8
8
8
8
0
0
0
0
0
0
0
0
8
0
0
0
0
0
16
16
0
8
0
0
2
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
8
8
48
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
16
0
8
8
24
0
0
0
2
0
0
0
32
0
2
8
0
0
8
8
8
0
0
0
0
16
0
0
0
0
0
8
16
16
0
0
0
0
0
0
16
0
0
8
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
20
20
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
8
0
0
16
16
0
0
8
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
8
24
0
0
0
0
0
0
0
12
24
0
0
0
0
0
0
2
2
0
0
0
0
0
0
2
1
4
0
0
0
0
2
16
34
1
1
0
8
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
0
16
0
0
0
0
8
0
0
0
2
0
8
0
0
0
8
24
16
8
8
0
16
0
0
8
0
12
8
0
0
4
4
0
0
0
16
0
0
8
0
0
8
0
8
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
8
8
0
20
2
8
26
0
0
0
0
0
0
0
0
0
8
0
0
0
0
16
0
0
0
0
0
29
29
29
29
29
29
29
29
29
29
29
29
29
29
29
29
29
4
4
4
0
24
0
0
0
0
0
0
0
5
16
16
0
0
4
0
0
0
0
0
0
0
1
0
0
0
0
1
8
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
8
0
16
16
2
0
0
0
0
0
0
0
0
9
0
0
0
0
4
4
16
0
0
8
0
8
0
0
0
0
0
0
0
0
0
0
0
24
0
0
0
0
0
16
0
0
0
0
0
2
2
0
6
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
16
16
12
8
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
8
0
8
8
8
0
24
24
0
0
0
0
0
0
0
0
24
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
33
0
0
0
0
0
8
8
8
4
0
0
0
24
40
40
40
0
0
0
0
0
0
0
4
4
0
0
0
8
0
0
0
8
0
0
0
8
8
0
0
0
0
0
0
0
0
0
16
0
0
2
16
0
0
0
0
0
16
0
0
18
0
0
8
0
0
0
0
0
0
24
0
16
16
24
0
0
0
18
0
0
0
0
0
8
0
16
16
0
25
1
1
0
0
4
2
2
2
2
0
2
24
0
0
8
2
4
18
0
0
8
0
16
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
4
0
0
0
0
0
16
8
8
0
0
20
20
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
4
1
0
4
48
8
0
16
8
0
0
0
2
0
16
8
0
0
0
0
0
0
0
0
0
0
16
16
16
0
0
0
0
0
0
0
2
0
0
16
16
0
0
0
9
0
0
0
0
0
8
8
12
12
0
0
0
27
12
12
0
0
0
4
0
2
2
8
8
0
0
0
0
0
30
0
16
16
4
0
0
0
0
0
16
16
0
0
16
16
8
4
4
4
0
0
4
24
24
8
0
0
0
0
16
0
1
0
0
0
16
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
16
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
1
0
0
0
0
16
0
0
1
0
4
8
4
16
0
8
8
8
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
8
8
0
8
16
0
0
12
12
12
2
0
0
0
0
0
9
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
16
16
16
16
16
0
4
4
0
0
19
4
8
8
8
8
8
1
0
0
0
0
0
0
0
0
0
0
0
8
0
0
6
6
8
4
0
0
0
4
8
0
8
0
9
0
4
0
0
0
8
0
0
0
0
0
0
0
0
5
0
0
0
0
0
2
2
0
0
0
0
0
8
16
16
17
16
0
0
0
0
0
0
16
8
8
4
32
4
8
8
0
0
0
0
16
16
0
0
0
8
0
0
0
0
0
0
0
0
0
6
0
16
0
0
0
0
0
0
0
6
8
0
0
0
0
16
0
0
0
0
0
8
0
0
0
0
0
0
2
0
0
8
1
0
8
0
0
0
0
0
0
0
16
0
0
4
0
0
0
0
0
0
4
1
16
8
8
8
8
0
0
0
0
1
8
17
0
0
8
4
0
0
8
0
0
8
0
0
0
0
0
0
0
0
4
0
0
0
0
17
0
0
0
0
0
4
4
4
4
0
0
0
0
4
4
0
0
0
0
20
4
8
8
1
0
0
16
2
16
0
0
8
0
0
0
0
0
10
0
0
8
16
16
0
24
0
8
0
0
0
0
0
8
1
0
0
0
0
0
4
4
4
1
0
0
0
0
0
0
16
0
0
5
8
0
16
0
0
0
0
16
0
8
0
0
0
8
0
16
0
16
16
16
9
0
24
0
0
0
0
8
8
0
0
0
0
0
8
8
0
8
0
8
0
16
1
0
0
0
16
0
0
0
0
0
0
0
16
16
16
0
0
0
0
0
0
0
8
0
20
4
8
0
0
0
8
4
0
0
0
8
8
8
8
0
9
16
8
0
0
0
0
0
0
24
2
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
9
0
8
0
0
0
0
0
0
0
0
0
4
0
8
8
8
0
0
0
0
0
0
0
0
0
0
8
24
24
0
0
0
0
1
0
0
0
0
0
0
0
0
0
8
0
8
0
0
0
4
0
0
0
0
1
0
0
0
0
0
16
0
16
0
0
0
0
0
8
2
8
0
0
0
0
0
0
0
0
0
0
27
27
0
1
1
8
8
0
0
0
0
4
4
4
24
24
0
0
0
0
4
8
16
4
0
0
0
4
8
0
0
0
16
16
0
16
8
8
8
16
16
0
0
0
16
0
0
0
0
0
0
0
16
12
16
8
0
0
0
0
0
0
0
0
4
16
0
0
0
0
2
0
0
0
0
0
2
24
24
0
22
0
2
0
0
0
0
0
0
0
0
8
8
32
8
1
0
0
4
25
8
8
0
0
0
0
0
0
1
16
8
8
0
32
32
4
0
24
0
8
8
16
0
0
4
0
24
8
8
8
8
8
8
0
16
16
0
0
5
8
16
0
8
4
0
2
2
2
2
46
46
16
1
0
0
0
0
0
2
10
0
1
0
0
8
8
8
8
8
0
0
0
0
0
16
16
16
16
1
1
4
16
0
1
3
3
3
0
8
2
0
0
0
0
0
0
0
20
16
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
2
0
8
8
0
0
2
0
16
16
0
8
4
4
4
0
0
0
16
0
16
0
8
0
0
4
0
0
0
0
0
0
1
8
5
0
4
0
16
8
8
2
0
16
0
8
16
0
4
0
0
4
4
4
4
4
4
4
4
0
0
0
0
4
0
8
0
0
0
0
0
0
0
16
0
0
8
8
8
8
8
0
0
8
60
60
1
0
0
2
1
8
16
16
0
12
0
0
16
8
0
16
0
0
0
4
4
4
4
2
2
0
0
0
0
0
0
0
8
0
16
8
8
2
2
8
0
8
0
0
0
0
8
24
0
0
4
0
0
0
0
0
0
0
0
2
0
8
0
0
0
8
8
0
0
4
0
16
8
8
8
0
0
0
0
0
1
26
0
0
12
12
0
8
0
0
4
4
4
0
0
0
0
16
0
0
1
0
16
8
8
16
16
8
24
8
8
8
8
8
8
16
0
2
24
24
0
0
0
16
16
0
0
0
8
0
0
0
16
4
4
4
0
0
0
0
8
0
25
16
8
0
0
0
0
0
0
0
0
0
8
16
16
20
20
16
16
16
24
0
8
8
0
16
16
8
16
0
0
12
0
0
0
1
8
29
16
0
8
0
8
8
0
16
16
8
12
16
8
1
1
0
4
4
2
20
20
16
48
24
16
24
27
16
0
8
8
8
1
1
1
0
0
0
0
0
0
1
1
1
0
0
2
16
24
0
0
0
8
8
0
17
0
0
0
0
8
0
2
8
0
0
40
40
40
40
40
0
0
8
8
8
17
0
0
0
8
0
12
0
0
0
0
0
0
0
0
0
0
0
20
20
0
16
0
0
0
16
0
2
2
1
0
0
0
0
0
0
0
0
0
1
1
1
1
16
8
28
4
4
0
0
0
0
8
8
8
8
0
16
16
16
16
16
2
4
0
0
0
0
0
0
0
4
4
4
8
0
0
28
0
0
0
16
0
0
8
8
0
0
8
8
8
8
0
0
0
16
16
16
8
0
0
0
4
4
0
0
0
1
1
1
8
9
0
8
0
0
1
42
0
16
0
0
0
0
0
0
4
0
0
8
8
8
0
16
16
16
16
16
16
8
18
0
4
0
0
0
1
0
0
8
16
16
16
4
3
0
0
0
8
8
8
1
0
0
0
0
0
0
48
0
0
0
8
8
8
0
0
0
0
0
0
0
8
8
2
0
0
0
2
8
0
0
16
16
0
0
0
24
0
4
0
2
0
0
0
0
0
8
8
2
0
8
0
8
16
16
28
0
16
16
8
8
0
0
0
0
0
0
0
0
0
0
0
18
0
1
0
0
0
8
8
0
0
4
4
4
0
8
8
1
0
0
8
4
4
0
0
24
0
0
0
0
0
6
0
0
16
0
0
0
0
0
1
8
0
0
0
0
0
0
0
0
0
8
8
8
4
0
4
0
0
0
4
0
0
4
4
52
16
16
0
0
0
0
8
4
4
4
0
4
0
0
0
8
8
16
16
0
8
1
24
0
1
0
24
24
4
4
25
25
0
0
8
2
2
16
8
8
8
0
0
48
48
0
0
8
16
4
0
0
0
0
4
4
4
0
4
8
16
0
0
0
0
0
0
8
0
0
0
0
0
16
1
16
2
2
2
8
8
16
8
16
16
8
0
0
16
16
4
0
0
0
4
4
0
0
8
0
8
0
0
2
0
0
0
0
0
0
2
2
0
0
1
8
16
16
16
16
2
2
8
8
8
16
56
2
16
16
16
0
0
0
8
8
0
0
8
8
0
8
8
0
0
0
4
8
8
8
0
4
4
0
0
0
0
0
1
16
0
20
20
0
0
0
1
0
0
0
0
16
0
0
0
0
0
0
28
28
2
0
0
0
8
8
8
0
0
0
0
16
8
1
8
20
0
0
0
0
2
0
0
8
0
0
8
20
0
4
0
0
0
0
0
0
0
8
2
45
8
8
16
8
8
0
0
16
16
16
16
0
20
0
1
0
0
14
14
14
14
16
0
8
9
9
9
9
0
0
8
0
8
8
0
16
16
16
0
0
0
0
16
16
2
0
0
0
0
8
8
8
0
0
24
8
1
16
0
16
1
2
4
0
0
16
16
16
8
0
0
0
4
0
0
0
8
0
0
8
0
0
8
8
8
8
8
8
0
0
1
1
8
0
4
0
0
0
0
8
0
8
0
0
0
2
1
0
0
0
8
0
0
0
8
8
8
0
8
8
8
0
1
0
8
8
0
8
8
8
8
16
16
16
8
36
36
4
4
0
0
0
0
0
0
4
0
32
0
0
40
40
40
19
12
0
32
0
0
0
3
0
9
8
32
32
0
1
1
0
8
0
0
0
0
0
0
8
0
2
0
0
2
16
0
0
0
0
16
16
8
0
0
1
1
4
0
0
16
32
8
16
16
16
16
16
16
16
4
0
0
0
12
8
11
4
0
16
16
16
1
2
16
16
16
0
0
0
0
0
0
0
8
8
16
16
16
0
0
8
16
16
16
13
8
0
16
0
0
0
0
4
0
0
0
0
0
0
0
0
0
12
4
4
16
1
8
0
0
9
9
8
2
0
1
1
0
8
16
0
5
0
0
0
8
0
0
0
8
8
8
8
8
16
16
8
32
32
4
2
2
0
0
0
0
0
0
0
8
0
1
1
1
1
4
24
24
0
0
8
0
0
16
2
8
8
8
8
0
0
0
0
0
0
4
4
4
2
0
0
8
0
0
0
0
8
24
9
2
4
4
0
0
0
8
0
0
0
17
0
0
4
1
0
4
4
8
8
0
0
16
16
1
8
0
0
9
0
16
0
0
0
16
0
0
0
0
0
0
16
0
0
0
0
0
0
25
0
0
0
13
0
0
16
32
0
0
0
0
0
0
0
0
0
1
1
0
0
1
9
8
0
0
0
0
0
0
0
2
0
0
16
0
0
24
0
0
0
9
24
1
8
0
0
0
0
0
4
0
24
24
0
0
0
16
4
4
4
0
0
8
8
8
8
8
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
24
0
0
8
0
0
0
8
8
8
8
0
0
0
16
16
0
8
8
8
0
0
8
0
0
1
40
36
0
16
0
0
8
0
0
16
0
0
0
0
8
8
0
0
0
0
0
0
8
0
0
0
16
0
4
0
16
0
1
0
8
0
0
0
16
16
8
8
0
4
4
16
16
2
2
0
24
16
2
2
24
0
2
16
16
16
16
1
0
2
2
2
0
0
0
0
8
8
8
0
0
0
16
0
8
8
8
0
0
0
16
8
32
32
32
0
8
16
16
0
16
8
0
0
0
16
0
8
0
0
0
0
8
0
16
0
8
8
0
0
0
0
1
0
0
0
16
0
0
0
8
8
0
0
0
0
0
8
0
0
0
0
0
0
16
16
12
0
0
0
0
0
0
0
0
8
20
8
8
0
8
61
0
28
28
28
8
0
8
2
2
0
16
16
0
4
0
0
8
8
0
0
0
16
16
4
4
4
1
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
16
0
8
0
32
32
0
2
0
0
0
8
0
0
16
16
0
0
0
0
18
16
0
0
16
8
8
8
52
8
8
16
2
0
22
5
5
16
24
16
16
16
16
0
8
0
0
0
8
0
1
0
0
2
2
2
2
2
0
16
0
0
0
16
0
0
0
0
0
24
6
0
32
0
0
0
0
0
0
0
0
8
0
0
0
0
4
4
0
16
0
8
0
8
8
0
0
16
4
4
0
16
16
16
16
16
1
0
4
20
4
32
0
4
0
8
0
8
8
1
1
1
0
8
0
0
0
2
8
2
8
16
16
16
0
8
32
32
4
4
0
0
1
8
8
8
8
8
8
0
0
16
16
16
0
0
0
8
0
0
4
4
10
0
0
0
0
0
0
0
4
4
0
0
0
0
0
0
8
24
4
0
44
0
8
27
26
0
0
0
0
0
0
0
0
0
1
8
0
1
1
0
0
0
0
0
0
0
16
1
1
16
0
0
8
8
0
0
0
0
1
0
16
16
0
0
8
0
0
0
8
8
0
2
0
0
8
8
0
0
2
2
16
8
16
0
0
0
2
2
1
1
24
0
0
0
2
2
2
16
0
0
2
4
0
0
0
0
0
0
0
0
0
8
16
0
0
0
0
0
0
0
0
0
16
16
16
0
0
0
0
0
0
0
0
1
4
16
16
16
1
8
16
0
0
16
16
0
16
16
0
0
0
0
0
0
0
0
0
12
12
12
0
12
12
12
12
12
12
1
0
0
4
2
2
16
17
4
4
8
2
2
2
0
16
16
16
16
0
0
0
0
8
1
0
0
16
16
0
4
4
20
0
4
0
0
8
0
0
1
0
32
16
16
0
0
0
0
1
1
0
0
16
16
0
0
8
8
8
0
0
16
32
0
4
4
0
0
8
0
0
0
4
0
8
0
8
16
16
0
0
0
0
0
0
2
2
2
1
6
0
0
0
0
0
6
8
8
0
1
0
0
8
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
32
16
1
1
1
1
1
1
17
0
0
16
0
8
0
8
8
8
0
0
8
8
4
5
0
8
0
0
0
0
16
16
4
16
8
8
0
0
0
0
9
8
0
0
8
8
8
0
8
8
8
0
0
0
0
0
8
24
16
0
24
0
8
8
8
8
8
0
0
6
8
2
4
0
8
0
2
2
2
0
8
16
0
8
2
2
1
2
0
8
8
8
16
2
2
0
16
16
4
0
17
16
8
8
0
0
12
8
8
4
4
2
0
1
16
8
8
0
0
0
8
8
8
0
8
0
16
16
16
16
16
0
0
0
8
0
0
3
3
3
3
16
0
0
8
16
16
0
0
16
0
0
0
0
0
4
2
0
0
0
2
2
2
0
0
0
0
8
0
0
8
24
16
6
16
0
16
16
4
4
0
28
28
0
0
0
16
8
0
0
16
0
8
0
8
0
0
8
0
0
0
24
24
0
0
0
0
0
8
8
16
16
16
0
0
0
16
0
0
2
2
0
0
8
0
0
20
20
8
16
0
8
8
0
1
0
0
0
0
18
0
0
8
8
0
8
0
0
0
0
0
0
5
0
16
8
4
4
8
0
0
0
0
0
0
0
0
0
0
8
9
32
8
8
8
8
8
8
4
4
4
2
8
8
16
16
48
48
2
16
8
0
16
16
0
0
0
32
0
0
0
8
8
0
0
0
8
8
16
1
0
0
0
8
8
0
0
32
32
32
16
4
4
0
0
0
24
40
0
0
0
0
16
16
16
0
2
2
0
0
8
2
8
12
12
12
0
0
0
0
0
4
4
16
0
16
16
0
0
16
0
0
0
16
16
0
0
0
1
1
1
3
0
0
2
8
0
8
8
8
0
0
0
8
8
8
8
8
8
0
0
0
0
0
0
0
16
0
16
16
16
16
2
8
0
52
0
0
0
0
0
0
0
8
8
8
8
8
0
8
8
8
8
8
15
15
15
0
0
0
0
0
0
0
16
16
0
8
6
8
16
45
0
18
8
24
16
18
18
0
2
48
0
0
0
0
16
0
0
32
8
0
0
32
24
0
0
0
0
0
0
0
24
0
0
0
0
16
0
0
8
8
0
0
8
8
8
16
0
0
0
0
0
0
0
0
0
0
0
0
2
11
11
0
8
16
16
1
9
32
0
0
16
16
0
0
0
0
0
0
0
16
0
0
8
0
8
8
16
0
18
18
0
0
0
0
16
16
0
8
0
8
0
0
8
0
0
8
4
2
2
0
48
48
0
0
0
0
0
8
8
0
0
0
4
4
2
2
2
8
0
0
0
0
0
24
0
0
8
0
8
17
0
8
0
0
32
8
8
8
16
1
16
0
0
0
0
8
16
16
16
0
0
0
0
0
32
32
32
0
0
0
0
0
0
16
16
16
0
0
0
0
0
0
0
16
0
0
0
0
8
8
4
4
8
0
0
34
16
16
2
2
2
2
8
8
8
8
8
8
8
17
21
21
0
0
0
24
0
0
0
0
0
0
0
0
8
0
17
8
0
0
0
16
16
0
0
0
8
8
16
0
0
0
2
1
10
1
1
1
0
0
0
0
0
8
8
24
20
20
20
20
20
2
0
0
8
1
1
0
0
0
16
16
0
16
16
0
0
32
0
8
8
8
0
0
8
16
8
0
16
0
0
0
16
0
0
0
0
0
8
0
8
8
0
2
4
4
0
0
8
8
0
0
16
0
17
17
17
0
16
4
0
0
0
8
0
0
0
0
4
9
1
29
29
0
0
0
0
0
16
4
0
0
8
8
24
48
0
0
8
0
0
28
8
1
8
8
8
4
4
0
8
0
4
0
0
16
16
16
0
0
8
0
0
16
12
8
0
0
2
24
24
0
0
0
3
0
0
8
8
8
8
8
16
8
8
0
16
16
2
32
20
0
0
0
8
8
8
0
1
16
18
18
18
8
0
8
8
0
2
28
28
28
0
0
0
0
2
2
0
4
4
4
0
4
0
0
8
0
0
0
16
16
25
0
0
0
0
1
1
8
0
4
0
0
0
0
8
0
0
9
9
9
8
0
8
8
0
8
9
0
0
20
20
43
8
0
0
0
0
0
0
20
8
0
0
0
16
0
18
18
0
8
0
0
0
0
0
0
1
1
1
1
0
43
43
8
8
0
8
8
8
8
22
6
6
6
8
8
8
8
16
0
16
16
16
0
0
8
2
0
0
4
8
8
32
24
0
0
0
0
0
0
0
8
0
0
0
0
16
16
16
16
8
16
0
0
8
8
8
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
4
4
16
0
0
0
0
16
16
0
0
0
0
0
16
0
8
0
16
0
0
0
4
0
0
0
8
8
16
16
16
16
2
0
0
0
16
8
8
0
0
0
0
0
0
16
16
8
8
0
0
0
0
0
4
0
8
8
8
8
0
8
0
16
16
8
8
0
16
4
0
0
0
0
0
2
0
0
0
0
8
8
0
32
16
0
0
0
1
1
1
1
0
0
0
0
0
16
28
0
0
16
16
0
0
0
0
0
0
8
8
4
8
0
0
0
0
0
0
0
0
16
32
32
0
0
10
10
10
4
4
4
4
4
32
0
16
0
0
0
0
0
16
0
0
0
0
0
0
16
0
0
0
8
4
0
0
0
0
16
0
8
25
16
0
32
4
8
17
0
0
0
0
32
0
0
0
0
2
1
25
16
0
0
0
0
0
17
16
0
8
8
8
0
0
0
7
7
7
0
0
25
0
0
0
0
1
1
0
0
6
4
0
0
1
0
8
8
0
0
0
0
8
8
8
8
8
8
8
8
4
4
0
16
0
16
8
8
16
8
0
0
0
4
0
0
0
16
16
2
0
0
0
24
24
8
8
8
1
1
0
0
0
16
32
23
8
8
0
16
16
24
8
0
0
0
16
0
4
0
2
16
16
16
0
0
0
0
0
2
2
0
3
3
25
0
24
24
0
0
0
0
0
8
8
4
0
0
0
3
3
0
2
0
0
0
8
4
4
4
4
0
0
1
8
0
0
8
16
1
1
1
1
1
1
16
0
0
0
1
1
8
0
0
28
16
16
16
4
4
0
4
8
4
4
16
16
16
8
8
8
0
16
0
0
0
16
0
0
0
0
0
2
0
0
0
0
0
16
0
1
8
8
0
8
0
0
0
8
0
24
0
0
0
0
0
8
32
32
32
32
0
8
16
9
0
0
0
0
8
8
8
8
0
4
4
8
8
8
8
14
14
0
4
2
2
2
24
12
0
0
0
0
8
8
0
24
24
24
8
8
1
1
16
1
0
16
16
8
0
0
0
16
0
8
17
4
0
0
2
2
2
2
0
8
0
0
17
16
16
16
0
8
18
1
4
0
0
0
0
8
2
8
8
0
0
16
16
2
0
4
8
3
0
8
8
8
0
0
0
16
16
0
16
0
0
0
4
4
16
0
0
0
1
0
2
8
8
8
8
8
8
8
0
1
8
0
16
16
16
0
8
8
8
8
0
16
16
16
16
0
0
0
16
16
16
16
16
0
0
24
12
12
0
32
8
0
0
16
0
8
0
0
8
16
16
16
59
16
16
0
0
6
0
16
0
0
0
0
8
16
0
0
0
0
2
8
9
0
16
16
2
2
0
0
16
16
0
4
4
16
0
20
20
20
0
0
24
0
2
0
0
0
0
0
24
8
0
0
28
28
8
8
2
0
0
4
4
0
0
0
1
1
0
0
0
0
0
8
16
1
0
0
0
0
0
24
14
1
0
8
0
0
0
0
0
0
0
0
0
0
0
0
4
4
4
4
17
8
0
16
0
0
16
16
16
4
8
8
0
0
0
16
16
24
24
24
8
8
8
9
53
37
0
0
0
0
0
0
0
4
2
2
4
2
8
0
0
0
21
8
1
1
1
1
1
0
0
4
16
16
16
0
0
0
16
16
1
0
16
16
0
0
8
0
0
0
12
24
16
16
16
8
8
1
1
1
8
0
0
0
0
0
0
0
16
0
0
2
0
0
8
0
1
0
1
1
0
1
0
0
0
0
8
16
0
1
0
8
8
8
0
16
2
0
0
0
0
0
0
0
0
24
0
0
0
1
0
16
0
16
8
1
16
16
0
0
16
0
0
0
0
24
8
0
0
0
0
0
8
8
8
0
0
48
0
0
0
0
0
0
8
8
16
0
1
0
0
4
0
0
0
0
0
1
8
8
0
0
0
0
16
16
16
0
4
4
4
0
0
0
0
0
32
32
32
0
24
24
0
0
0
0
0
0
0
0
0
0
0
16
16
16
0
0
4
16
0
1
0
0
0
0
0
16
16
32
24
24
0
4
4
4
0
0
0
0
16
1
0
0
0
0
9
9
9
0
0
0
0
8
8
8
4
16
16
8
8
8
8
24
0
19
19
19
8
0
4
0
0
0
8
8
0
16
8
16
0
0
0
0
0
16
0
8
8
8
8
0
0
8
0
0
0
0
0
0
0
0
0
0
0
8
8
2
2
0
0
0
8
8
0
16
0
0
8
0
5
0
8
2
2
2
0
16
16
16
0
0
0
8
2
16
16
16
16
16
16
16
0
0
4
8
16
0
8
0
0
12
16
0
16
16
0
0
8
0
8
8
8
8
8
8
8
8
8
0
0
16
16
16
0
0
0
0
16
16
20
0
1
0
0
1
0
1
1
16
16
16
0
8
16
32
8
1
0
0
0
0
0
0
0
0
0
6
0
0
0
0
0
1
1
8
0
0
1
0
16
16
0
0
8
8
0
0
0
8
16
0
0
2
0
0
8
0
16
16
16
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
16
24
15
15
16
16
16
8
8
40
40
8
8
0
8
8
8
18
0
0
0
0
0
1
11
0
0
0
0
0
0
0
8
16
16
16
0
8
8
0
0
0
1
0
2
0
0
0
16
0
0
2
2
0
1
1
8
8
0
0
0
16
16
4
4
0
0
0
24
8
8
24
8
0
0
42
0
16
0
0
0
0
0
2
24
0
0
0
0
0
8
0
0
0
0
16
0
0
0
0
0
8
16
0
1
1
1
1
8
2
2
2
20
20
16
16
0
0
8
0
0
16
0
0
0
0
0
0
1
2
2
0
6
24
0
0
2
16
16
0
0
0
8
8
8
8
0
0
0
8
8
16
0
0
8
8
16
16
1
2
8
8
8
8
1
18
0
8
0
8
16
16
16
8
8
0
0
1
12
9
8
0
0
48
48
0
0
0
0
0
16
8
8
8
0
8
0
0
0
8
8
0
16
1
0
0
0
0
2
16
16
16
2
16
0
0
4
0
0
0
0
8
8
8
1
0
0
0
0
16
16
0
0
1
0
0
0
0
8
0
0
0
0
2
2
0
0
16
1
16
0
0
0
8
8
7
0
0
32
32
1
0
0
0
8
0
0
0
0
8
11
8
8
0
0
24
8
2
2
2
4
4
4
4
8
0
9
20
20
0
0
0
8
0
0
0
16
16
0
0
8
8
8
0
0
0
0
0
0
8
0
0
0
2
2
2
4
0
0
0
8
12
0
1
1
1
8
8
0
0
1
0
0
0
0
2
0
0
0
0
8
16
4
8
8
8
0
2
0
0
4
4
2
2
0
2
1
1
0
0
1
0
0
0
16
16
16
9
8
8
8
16
16
0
0
0
16
16
0
8
1
0
0
2
16
8
0
0
0
16
8
2
2
0
0
0
0
0
0
0
16
9
0
4
19
0
0
0
0
5
0
0
0
0
0
24
0
0
0
1
1
1
8
0
0
0
48
16
0
16
2
2
6
6
8
0
0
16
2
8
0
0
26
16
4
7
7
16
16
16
0
0
16
40
0
0
0
0
32
0
0
0
0
0
24
0
1
0
16
0
0
0
0
8
8
8
8
8
16
16
0
0
16
8
8
1
8
16
0
2
32
0
0
0
0
0
0
0
0
0
0
8
8
8
8
0
0
4
16
16
16
8
8
0
8
39
39
0
0
0
0
4
16
16
0
0
1
0
16
0
0
0
16
0
4
0
0
16
16
16
16
16
0
0
34
34
1
0
1
0
28
28
8
4
4
0
0
0
53
0
12
12
0
0
0
4
4
4
4
4
4
0
0
0
0
0
0
0
16
0
0
0
0
0
5
8
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
33
16
0
8
8
17
10
0
0
18
2
1
0
4
4
4
4
0
0
8
8
8
0
8
0
8
16
0
0
0
0
2
0
0
0
2
0
0
0
0
0
0
8
0
8
1
0
0
0
0
0
24
24
0
0
2
0
0
0
0
0
57
16
8
32
32
0
8
16
0
16
0
0
28
0
16
0
8
8
2
0
30
2
0
0
0
0
0
0
0
0
8
0
0
0
0
8
8
0
0
16
8
8
0
16
16
2
0
16
0
8
8
0
8
8
16
8
0
0
0
1
8
0
0
0
0
0
0
0
24
0
2
0
0
8
0
0
0
0
0
0
1
0
8
0
8
0
0
0
0
1
16
0
19
8
4
16
0
32
32
0
0
4
2
40
0
16
0
0
0
0
0
0
16
8
8
0
8
8
0
8
8
0
2
2
2
2
2
2
2
2
2
0
8
8
16
0
0
16
0
2
8
0
8
8
8
0
0
0
4
4
16
8
8
4
8
0
0
0
0
8
24
1
4
24
24
0
0
16
0
0
0
0
0
0
0
8
8
8
1
0
8
8
4
0
0
0
10
10
0
0
0
48
0
16
16
16
16
0
0
0
32
0
0
0
16
0
2
16
0
0
8
0
0
16
8
8
2
2
0
0
0
0
24
0
0
1
1
1
8
1
1
0
0
0
1
16
0
0
1
8
0
8
0
60
8
8
8
0
0
9
9
9
9
32
8
32
0
16
0
1
1
16
0
16
0
0
6
6
0
0
0
4
1
0
0
32
8
8
16
0
8
8
16
16
16
8
8
8
0
0
32
0
0
0
32
32
32
8
0
0
41
0
0
1
2
0
5
4
0
0
0
0
8
16
16
0
34
8
2
2
4
0
24
24
16
16
0
1
0
24
0
8
8
8
4
0
0
0
0
0
3
0
0
0
0
0
24
0
0
8
0
4
24
8
8
8
0
12
0
0
32
0
0
0
0
0
8
16
0
8
0
0
0
0
16
0
0
0
4
0
0
0
0
0
0
0
16
16
16
0
0
0
5
1
0
0
24
0
0
0
0
0
8
0
0
0
0
4
16
8
2
0
24
2
16
8
0
0
0
0
0
8
8
0
0
0
8
0
0
8
8
32
32
8
0
0
0
16
8
24
0
0
0
0
0
1
2
20
0
0
0
2
16
0
0
16
16
0
0
8
0
0
1
1
1
1
1
1
24
4
0
0
8
16
0
0
8
0
8
8
16
32
0
0
0
8
2
16
0
0
8
0
0
8
8
0
0
4
32
32
16
4
0
8
16
0
0
0
1
8
0
0
0
8
8
16
2
2
0
0
0
24
24
16
0
0
0
0
0
0
4
0
24
16
16
16
16
0
0
0
0
16
16
16
4
4
4
4
0
24
24
24
0
0
0
0
0
0
8
0
32
8
24
0
0
0
0
32
32
16
16
16
16
0
33
8
2
0
32
8
1
16
16
1
1
0
8
0
8
8
8
0
4
4
0
8
18
18
0
8
8
8
8
8
8
8
0
0
0
0
0
0
16
32
32
0
16
16
2
8
4
0
0
8
16
8
0
0
0
0
0
0
0
24
24
1
0
0
4
1
0
0
0
8
16
0
0
21
0
0
20
20
0
0
0
0
0
16
1
1
25
8
8
0
0
0
0
0
0
0
0
0
8
8
8
8
0
8
8
8
40
40
12
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
8
0
0
8
8
1
16
16
16
1
1
1
4
4
0
4
4
16
1
8
8
8
8
9
0
24
24
0
1
0
2
4
0
1
4
0
0
0
0
41
16
16
0
1
16
8
0
0
0
0
0
0
8
8
8
8
0
0
8
0
8
8
8
4
8
4
0
0
16
0
16
0
0
4
0
0
16
16
16
0
0
0
16
0
0
0
24
16
0
1
16
8
8
8
16
16
16
0
8
8
0
0
8
0
0
0
0
16
0
8
0
0
0
25
25
25
0
4
16
16
0
8
0
0
0
0
0
0
16
8
8
0
0
8
0
0
5
0
4
0
8
0
0
0
0
0
0
0
16
0
0
0
0
0
0
16
8
16
8
0
0
0
0
0
8
8
8
0
0
0
16
16
0
0
0
0
0
0
0
0
4
0
0
0
9
0
0
8
8
0
16
16
16
2
8
0
16
0
0
0
12
0
0
0
0
0
8
8
16
0
1
1
4
0
0
0
0
2
2
32
0
0
16
0
0
0
0
0
0
0
3
3
27
0
1
1
1
4
8
2
0
0
0
0
16
16
0
0
0
0
4
16
1
8
2
2
2
0
0
0
0
1
4
4
8
0
0
0
0
0
0
0
4
16
16
0
16
8
8
0
0
0
4
20
20
20
20
0
0
0
0
8
8
0
0
0
8
0
2
2
0
0
8
10
4
0
0
16
0
0
16
0
0
16
16
16
0
14
0
0
0
0
8
0
16
0
0
8
0
0
20
16
16
0
0
0
0
0
0
0
0
0
0
1
0
0
20
8
8
0
0
0
0
0
0
0
0
0
8
32
0
20
0
16
16
8
0
0
0
0
0
0
0
0
0
0
0
4
8
0
2
0
0
0
0
0
0
0
0
4
0
0
8
0
0
0
4
4
8
8
0
0
40
0
0
8
0
0
8
25
25
8
4
1
0
0
0
0
0
0
0
41
41
16
16
1
0
8
0
32
0
8
8
8
8
8
4
4
0
0
0
0
0
8
8
8
0
0
0
0
4
0
0
0
0
1
8
16
16
16
0
0
0
16
0
18
16
16
2
2
2
0
8
8
8
0
0
0
0
0
4
4
0
0
0
0
0
0
0
4
4
0
16
1
16
16
16
0
0
0
4
4
0
8
0
0
0
0
0
8
8
8
0
0
1
1
1
8
8
0
4
0
0
0
0
0
24
0
0
0
0
0
4
0
0
0
0
2
2
4
2
0
0
0
32
0
0
0
1
0
0
16
0
0
4
0
8
8
16
0
0
4
8
16
16
1
1
0
16
0
0
0
0
0
0
16
8
0
1
1
0
0
0
0
32
32
8
0
0
2
0
0
0
0
16
0
0
3
3
3
3
4
0
0
0
20
0
32
0
0
17
17
8
8
0
0
0
16
16
8
8
0
0
0
16
0
1
1
0
0
0
0
9
9
4
4
0
0
1
1
1
1
1
1
1
1
0
16
16
0
0
0
16
0
0
16
0
2
8
16
0
24
8
16
0
1
0
0
0
0
16
16
0
16
0
0
12
16
16
16
0
0
0
0
0
0
0
0
24
24
0
0
8
0
0
0
0
4
0
8
0
16
16
8
8
8
0
16
0
0
4
4
4
4
4
4
0
0
0
0
0
0
16
16
16
16
0
0
0
0
8
0
8
8
0
8
9
9
0
1
0
16
0
5
0
0
0
8
16
0
7
0
16
0
16
4
16
0
18
9
9
16
0
8
8
8
0
16
16
16
8
8
8
8
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
1
8
8
8
16
16
0
0
0
0
0
0
0
0
0
2
32
16
8
8
16
16
16
1
0
32
4
8
0
0
4
8
8
10
0
0
16
0
0
2
14
0
0
8
16
0
0
0
8
0
0
0
0
8
8
1
16
16
13
0
0
17
0
0
0
4
4
1
1
1
0
0
1
0
0
16
16
0
2
2
0
0
0
0
2
0
25
0
16
16
16
0
0
8
8
8
16
16
16
0
0
0
8
8
16
16
16
16
0
2
8
8
2
2
10
10
0
0
0
0
0
0
8
16
2
2
0
0
0
0
0
0
0
0
0
0
56
56
0
0
0
8
8
0
0
8
8
16
16
0
1
24
2
2
2
20
0
0
0
0
8
8
8
0
0
0
0
16
0
0
0
4
0
0
0
8
0
16
16
16
16
0
0
0
0
0
0
1
1
0
4
0
0
0
0
0
0
16
0
0
0
0
0
0
0
8
0
8
16
0
16
16
1
0
1
24
8
8
0
0
0
2
20
16
8
0
8
16
4
0
0
0
8
0
36
16
16
8
8
8
8
0
2
8
8
0
0
0
0
19
0
17
16
0
9
0
0
8
24
24
0
0
0
0
0
17
24
24
16
1
8
0
0
0
8
8
16
0
0
0
0
0
0
8
8
8
0
0
0
1
1
0
0
0
0
24
2
2
2
1
0
0
0
0
8
0
12
4
16
16
8
0
8
8
8
4
0
0
0
0
0
1
0
0
0
32
32
32
0
37
0
8
16
16
16
0
0
4
4
4
0
0
0
0
8
8
0
0
0
0
4
0
0
0
0
0
0
4
20
8
20
34
34
0
8
32
0
0
45
45
3
3
16
16
16
16
0
0
0
0
10
1
4
0
0
0
0
4
8
0
12
12
12
12
12
12
0
0
0
0
3
3
3
24
0
8
1
1
1
41
16
0
0
0
16
2
2
0
0
0
16
2
16
2
0
0
0
0
4
0
0
52
2
2
8
0
0
8
2
0
16
4
4
16
0
0
0
0
8
0
1
1
1
1
0
0
0
0
0
0
8
8
16
16
0
16
16
16
16
0
0
8
12
4
0
0
0
0
16
16
16
8
8
1
0
0
0
4
0
50
32
16
8
16
16
1
0
0
0
0
16
16
16
38
0
1
32
0
0
0
0
16
2
2
0
0
0
16
8
0
8
8
0
0
16
41
0
0
4
8
0
0
0
0
16
16
0
0
0
0
2
1
2
0
0
0
0
4
8
8
2
2
4
0
0
0
0
0
0
0
8
0
0
16
16
0
0
0
0
0
8
5
0
0
0
0
8
8
1
0
12
0
0
0
0
4
2
0
0
0
1
0
1
2
8
1
1
0
0
0
0
0
16
32
8
2
0
41
32
16
8
25
0
0
16
0
8
8
8
0
0
0
0
0
8
0
33
3
0
0
0
0
4
16
16
24
4
8
4
0
0
0
0
0
0
0
0
0
0
16
16
16
16
0
1
1
8
0
0
0
0
0
4
0
17
16
4
0
1
8
0
0
0
8
0
8
1
1
1
0
0
8
0
0
0
17
8
8
24
8
4
4
0
0
0
0
0
28
28
0
0
8
8
0
0
0
0
8
4
4
0
8
8
0
8
0
8
0
0
0
4
4
4
0
24
9
0
0
0
16
16
8
8
16
16
4
0
16
32
32
0
0
4
0
16
0
8
2
0
0
0
0
0
8
1
0
0
0
16
0
16
24
24
0
0
8
0
8
0
6
8
8
0
2
2
0
4
0
17
17
0
0
8
8
0
0
0
8
0
8
0
0
4
0
9
0
0
0
0
0
0
24
24
0
0
0
0
8
16
16
0
0
0
8
8
5
16
2
2
0
8
0
18
0
2
50
16
1
1
0
16
8
8
8
0
8
0
0
0
0
8
8
0
0
0
0
16
16
16
8
0
0
8
0
0
0
8
0
0
32
8
4
0
2
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
12
12
12
0
0
8
8
8
0
0
0
8
0
0
0
16
16
0
0
16
16
16
1
8
2
2
8
4
4
4
4
32
8
8
16
16
16
0
12
12
2
2
0
0
16
8
12
12
12
0
8
8
8
8
8
12
12
0
12
12
48
0
8
8
8
16
26
26
0
0
0
0
12
12
16
16
0
0
16
8
0
0
0
0
0
0
0
0
0
0
20
1
1
1
1
8
0
0
0
0
0
0
16
16
0
0
8
0
8
0
0
0
0
0
0
0
8
8
8
8
8
16
0
0
40
16
16
16
16
16
8
4
8
16
16
8
8
0
0
0
1
8
16
16
8
0
8
40
40
8
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
4
4
16
4
0
0
0
0
0
0
0
20
0
0
0
0
0
0
8
8
8
4
0
8
0
0
0
0
0
0
0
0
24
0
0
0
0
0
16
2
8
2
29
16
0
0
0
8
9
2
8
8
4
4
4
8
8
5
0
0
0
0
0
0
0
16
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
1
8
40
1
0
16
8
8
8
8
8
0
0
5
0
16
16
8
1
1
0
8
16
16
1
36
0
0
0
0
0
32
0
0
16
16
1
0
2
2
2
0
0
0
2
0
0
0
8
0
0
0
0
0
16
0
0
0
1
1
1
0
0
0
4
4
0
0
16
0
0
0
0
2
2
2
8
8
16
0
8
0
0
0
0
16
0
0
8
8
16
0
16
12
4
4
0
0
8
8
16
0
8
9
0
0
4
0
0
0
0
0
8
0
2
0
0
0
1
1
0
0
16
0
8
0
8
8
8
32
0
0
0
4
8
8
0
0
0
0
0
0
0
0
0
0
0
4
4
4
0
0
0
1
8
0
4
8
8
4
4
4
0
8
8
0
8
2
0
0
17
0
4
4
0
0
0
26
26
0
0
0
0
16
16
0
16
16
16
0
8
8
8
0
1
1
4
16
16
8
8
16
8
8
0
1
0
4
0
0
16
0
0
0
0
8
0
24
16
4
2
0
0
0
0
0
20
0
0
0
0
2
2
16
16
16
2
37
0
0
0
0
0
16
6
0
0
0
44
16
16
16
16
16
8
8
2
2
0
0
0
0
0
0
0
0
2
2
0
11
16
8
8
16
0
8
8
8
4
0
0
0
0
0
0
0
2
0
0
8
0
0
0
16
0
0
0
8
0
0
0
0
0
0
24
24
0
0
0
0
0
0
0
8
4
4
0
16
0
0
0
0
0
0
16
24
1
8
0
0
0
0
0
0
0
0
0
0
0
8
6
6
8
8
8
0
16
8
1
0
0
0
0
4
4
9
0
8
0
0
0
0
0
0
0
0
0
16
16
0
0
24
0
0
0
0
0
8
8
0
8
8
0
0
8
8
8
8
0
0
4
0
8
8
0
0
16
0
0
0
8
8
8
8
0
0
0
0
1
0
0
16
0
8
0
0
12
0
0
0
0
0
0
0
0
0
0
0
4
8
8
0
8
0
0
0
8
13
0
0
0
8
8
0
0
0
0
32
32
0
4
4
0
0
0
0
0
0
33
18
0
0
4
0
0
2
2
16
25
4
4
4
22
8
8
0
0
0
4
8
0
0
0
8
8
0
0
0
0
0
4
4
0
2
2
2
2
2
0
16
0
8
28
8
12
32
32
4
8
8
4
4
16
0
1
4
4
4
0
0
0
0
0
10
16
0
16
16
0
6
6
0
0
0
0
0
4
4
0
0
0
1
0
0
0
32
0
0
0
0
0
0
0
16
16
16
0
32
32
2
2
2
2
4
4
8
0
0
0
30
30
4
0
8
8
16
8
4
4
4
0
8
0
4
0
0
0
0
43
0
0
0
1
0
0
5
5
5
5
5
0
0
8
8
16
0
0
0
0
0
0
0
4
4
4
0
8
0
0
0
0
4
0
16
16
16
0
2
0
0
0
0
0
0
0
0
0
8
0
16
16
0
0
0
8
4
4
0
0
0
0
8
9
9
0
2
0
0
0
4
0
0
0
0
2
16
1
1
8
8
0
0
0
0
1
16
0
0
0
0
32
16
0
0
0
0
16
16
0
0
0
0
16
16
16
0
0
4
8
8
8
8
0
16
0
8
8
8
17
0
0
0
0
0
8
4
8
4
1
0
0
0
24
24
24
0
12
48
48
0
0
0
2
0
16
8
0
1
4
4
4
20
0
16
16
0
0
0
8
24
8
16
16
1
1
8
0
0
0
25
32
32
32
16
16
0
8
4
8
0
0
0
0
8
0
8
8
8
8
8
3
0
8
4
0
0
0
1
0
0
4
16
17
16
1
1
0
0
8
0
0
17
4
1
16
8
1
1
8
0
0
0
1
0
0
8
0
0
0
0
16
8
16
16
1
1
4
4
4
0
8
0
1
0
2
12
0
36
16
0
0
0
0
6
0
16
16
16
0
0
0
0
16
9
0
0
0
16
0
0
0
0
1
0
0
0
0
0
0
8
0
0
0
4
0
1
1
1
0
4
0
0
1
0
0
0
10
8
0
24
24
16
16
16
0
4
4
2
8
4
4
2
0
16
0
0
0
0
1
0
0
0
8
0
0
0
0
8
8
8
16
0
0
8
0
0
0
0
24
0
0
32
1
8
0
0
0
0
0
0
16
16
16
16
0
0
0
2
0
0
4
4
2
2
2
0
16
4
0
0
0
0
0
8
0
4
1
0
4
8
0
0
8
0
8
0
16
0
0
0
48
2
0
0
32
0
24
0
0
0
16
8
8
8
0
0
0
0
0
8
8
0
2
8
0
0
0
0
2
16
0
16
0
0
0
4
0
0
16
16
18
18
8
32
0
1
1
4
0
0
8
4
1
0
0
16
0
0
0
8
8
0
0
2
8
10
10
4
32
32
0
0
0
16
1
1
4
24
0
0
0
0
0
0
16
0
0
2
0
0
12
16
0
0
16
1
8
4
8
16
8
8
2
2
2
0
24
0
0
0
0
0
0
0
8
16
0
0
0
16
16
16
0
0
8
0
0
0
16
0
8
24
1
24
24
0
8
0
8
0
0
8
0
0
8
0
0
2
0
0
0
1
1
1
1
16
0
0
8
0
2
0
0
0
0
24
0
16
16
0
16
8
8
0
0
0
0
4
4
4
13
16
4
8
8
4
0
8
0
0
0
0
20
8
16
0
0
0
0
0
0
0
24
16
12
12
0
0
0
0
0
0
1
0
0
4
0
6
20
0
18
18
18
2
0
0
0
0
0
8
16
16
16
16
8
0
24
24
24
24
1
1
1
0
32
0
8
12
0
8
8
8
0
17
8
16
0
0
0
0
0
0
0
0
1
0
8
0
1
1
1
1
8
8
0
16
24
2
4
4
4
1
1
1
0
8
8
0
0
0
4
0
0
0
0
12
0
0
4
8
8
16
16
0
9
12
0
0
0
16
16
8
0
0
0
58
4
2
16
0
0
8
2
8
8
8
0
1
2
0
0
8
8
8
8
8
0
0
0
16
0
8
0
0
0
0
16
8
8
0
16
6
0
8
4
8
0
6
6
0
1
0
25
16
0
0
0
0
16
0
0
0
0
16
16
19
19
0
0
0
16
0
24
0
8
0
0
0
0
0
0
1
33
0
2
0
8
8
8
0
24
24
24
24
24
24
24
24
1
4
4
4
8
0
0
0
0
8
8
8
2
0
0
0
0
0
8
0
0
0
0
4
17
0
0
8
8
16
0
0
8
0
0
0
1
0
0
12
12
12
0
0
16
0
0
32
0
16
8
0
0
28
4
4
16
16
0
28
1
1
0
2
0
16
16
8
16
16
16
16
16
16
16
17
17
17
16
16
16
8
0
0
0
8
8
8
0
0
8
8
8
8
8
8
0
0
16
16
0
0
0
0
8
8
4
4
16
16
16
16
8
8
0
0
0
0
0
0
0
0
0
16
0
0
0
1
32
0
0
0
0
4
0
0
16
8
8
0
0
0
0
8
8
32
17
17
17
17
0
8
16
16
0
4
32
0
24
0
0
0
0
0
0
16
16
16
24
0
8
0
16
16
16
16
16
16
16
16
4
4
0
2
0
0
0
0
16
0
0
8
8
8
8
8
8
0
8
2
2
0
32
0
16
0
0
0
16
0
0
0
1
16
16
16
0
16
0
8
8
0
24
8
0
0
0
0
0
10
4
0
0
0
0
0
0
12
0
8
8
32
32
32
0
8
8
8
8
8
16
0
0
0
0
0
0
0
4
8
16
8
8
8
1
1
1
0
0
0
16
0
10
8
0
0
0
0
0
8
0
16
0
1
0
1
32
0
0
8
8
0
2
0
4
0
16
0
0
0
33
33
33
8
0
8
0
0
0
4
4
4
0
0
0
0
16
26
0
0
60
8
0
0
16
16
16
8
8
2
2
16
0
0
0
0
0
32
32
32
16
16
9
0
0
2
2
9
0
0
8
8
16
0
0
1
0
0
0
40
40
8
8
0
0
0
36
1
8
8
4
8
0
0
8
0
0
2
2
28
0
16
8
16
2
2
0
0
0
8
16
0
0
28
0
0
0
0
0
16
0
0
30
8
8
0
0
0
0
0
24
0
0
40
8
25
25
4
4
0
0
0
0
8
0
0
0
0
10
10
16
16
0
0
0
0
0
0
8
8
0
0
0
0
0
2
0
0
0
4
0
16
0
0
0
0
8
0
0
0
0
0
2
2
10
0
8
8
20
20
4
16
4
8
1
16
8
8
0
0
8
8
8
4
4
2
18
8
2
8
16
16
16
16
16
16
8
8
8
0
0
0
0
0
0
0
0
1
4
16
16
16
16
8
8
8
8
8
0
0
8
16
0
0
8
16
27
8
0
0
18
0
16
16
16
24
0
0
8
16
4
2
0
0
0
0
16
0
8
0
0
0
8
12
12
16
1
0
0
0
2
2
0
0
0
16
0
0
0
16
0
0
1
1
8
2
1
1
8
8
8
8
8
8
0
8
8
16
2
18
0
0
0
0
0
0
4
4
13
2
6
0
0
1
8
0
8
8
51
0
0
8
8
8
4
0
0
0
4
0
16
16
8
0
0
2
0
0
2
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
1
8
40
1
0
4
1
0
0
0
0
8
24
2
0
0
8
0
0
0
0
0
16
0
8
0
1
1
1
0
4
4
4
4
0
0
0
0
0
16
0
0
0
0
8
48
48
48
48
18
18
18
16
0
24
24
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
1
16
0
4
4
8
0
0
0
2
0
0
8
8
8
0
2
2
8
20
16
0
0
0
0
0
0
16
0
8
8
4
4
8
0
0
18
0
0
0
0
0
22
0
32
8
8
0
16
16
16
0
0
8
0
0
0
0
0
24
16
8
0
0
0
8
0
0
0
0
0
1
0
0
0
6
8
0
16
16
0
0
0
0
0
2
0
0
0
8
8
8
8
0
0
0
0
0
8
8
0
0
0
0
0
4
8
0
32
0
0
0
16
1
1
1
1
0
8
16
0
0
0
0
8
0
0
0
0
0
0
0
16
8
8
0
0
0
16
32
0
16
16
0
0
1
1
0
0
16
0
0
0
0
0
16
8
8
8
18
8
0
8
0
8
2
2
2
2
0
8
0
0
0
6
0
0
0
0
0
4
0
0
8
2
0
8
16
16
8
8
8
8
0
0
0
0
16
16
0
0
0
32
32
32
32
24
8
16
16
16
0
0
0
0
0
8
25
25
16
8
8
0
0
0
0
32
8
8
0
16
0
12
12
8
8
32
0
0
0
4
24
0
0
0
8
0
0
0
0
8
2
0
0
8
8
24
0
8
24
24
24
24
24
24
1
0
12
12
0
8
0
0
8
20
0
8
1
16
16
0
0
0
0
0
0
0
24
0
1
0
8
0
8
1
0
0
8
8
8
16
16
0
12
24
16
0
0
0
2
2
1
1
1
1
0
16
0
0
0
0
8
8
0
0
16
16
8
8
16
16
16
0
0
24
24
0
16
0
0
0
0
0
0
0
16
0
16
0
0
0
0
0
16
8
8
0
0
8
8
8
8
0
24
8
0
4
4
0
8
8
8
0
0
0
4
0
0
16
16
16
0
0
2
8
0
0
2
0
0
0
0
0
48
48
0
0
0
0
0
16
16
0
4
0
16
16
12
32
32
32
2
0
0
1
1
1
0
8
8
8
32
32
32
32
32
0
0
0
0
0
0
0
0
16
16
0
0
0
0
16
0
2
0
8
0
0
0
0
0
0
0
8
0
0
1
0
0
13
0
4
0
2
5
16
1
0
16
16
0
0
0
0
0
0
0
0
16
16
16
0
0
16
16
0
0
0
0
1
8
0
16
16
16
16
2
8
2
2
0
8
4
4
8
8
8
4
8
10
0
0
0
8
0
4
4
0
1
16
16
16
8
8
16
1
1
1
0
16
0
0
8
0
8
0
8
0
0
9
1
0
9
0
0
16
16
0
0
0
16
16
16
16
1
1
0
0
0
17
0
16
0
0
0
0
4
4
0
0
16
16
24
24
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
1
16
4
8
8
0
16
16
16
0
0
0
8
8
24
24
8
0
16
16
16
0
16
0
0
0
0
0
0
0
8
16
0
0
0
16
16
16
16
0
0
30
8
0
0
0
0
8
0
0
2
16
16
4
4
4
8
8
0
0
0
0
8
0
1
1
0
0
0
0
0
4
16
16
0
16
0
16
16
16
16
0
0
0
16
0
24
0
32
0
0
0
4
4
4
16
16
18
0
0
0
0
0
16
0
0
0
0
16
16
8
0
0
0
0
0
0
0
8
10
21
0
0
0
4
4
0
0
24
0
0
0
0
0
8
2
0
0
0
0
0
0
0
8
5
0
16
0
16
0
0
4
0
0
0
0
0
16
16
16
0
0
1
0
0
0
8
0
16
0
16
8
0
0
0
0
12
8
8
16
16
8
4
16
0
0
0
0
0
0
1
1
0
0
0
0
0
0
8
8
4
2
0
0
32
1
16
8
0
0
8
0
13
0
0
2
2
4
4
0
0
0
0
10
8
8
8
0
0
0
0
0
8
8
0
4
4
0
16
16
0
0
8
8
8
8
0
0
1
1
8
0
16
16
8
8
8
0
2
2
0
0
0
0
0
0
0
16
8
0
0
7
7
16
16
8
0
0
0
8
8
0
0
0
1
8
0
16
0
18
16
16
8
8
1
1
1
16
16
0
0
0
0
25
1
1
0
0
2
0
0
0
8
0
48
0
0
0
0
0
0
0
14
2
8
1
0
0
0
2
8
1
8
0
4
4
4
4
8
0
0
0
0
0
16
16
0
1
1
0
0
16
16
16
9
9
9
8
0
0
0
0
0
0
0
0
0
8
8
8
0
0
8
8
0
0
6
0
0
0
0
0
0
16
16
0
0
0
2
0
12
4
0
1
1
0
0
0
0
8
8
0
0
0
8
8
0
0
0
0
0
24
24
40
40
0
0
0
0
1
4
1
17
0
16
9
0
0
0
4
4
0
2
8
8
0
4
4
8
8
8
16
0
0
0
2
16
3
3
3
0
0
16
8
8
0
0
0
0
0
0
0
0
0
56
16
0
0
16
16
16
0
4
1
0
16
16
16
16
8
8
8
0
8
4
0
0
0
0
2
41
8
8
8
15
2
0
4
9
9
9
8
0
0
0
0
0
2
0
16
16
0
0
0
0
0
0
16
0
8
8
0
0
0
8
8
16
2
2
2
0
0
4
4
0
0
8
8
4
4
16
2
8
8
0
0
1
1
0
0
16
0
0
2
5
5
5
0
0
0
0
0
0
16
18
8
8
0
4
8
8
21
0
8
32
0
8
2
2
0
0
0
0
0
0
1
1
8
8
0
0
8
0
0
8
16
8
0
1
1
1
0
16
0
16
1
12
0
24
24
8
16
16
24
8
0
0
0
0
4
0
0
0
1
24
8
8
0
0
0
8
8
0
20
1
8
0
0
32
0
8
8
8
0
8
40
0
0
0
0
0
32
32
4
0
0
0
8
8
18
16
0
0
8
16
7
2
2
2
2
8
0
0
0
0
0
0
0
8
0
8
0
8
8
18
24
0
0
0
16
16
1
1
1
1
0
0
0
0
0
0
0
0
4
0
0
8
40
0
0
0
0
0
0
5
8
0
24
8
20
20
0
0
0
0
0
0
4
4
4
0
0
0
24
16
8
0
0
0
0
0
16
1
0
0
0
0
0
0
0
0
8
0
8
8
8
0
16
0
0
0
0
2
0
0
8
8
0
0
16
9
0
0
0
0
0
1
1
0
8
8
2
2
0
0
0
0
16
1
1
17
16
36
0
0
0
16
16
0
8
0
0
0
0
0
9
0
0
0
16
5
1
0
0
0
0
0
0
0
4
4
0
0
0
0
0
16
16
16
8
1
4
4
6
24
0
6
6
0
0
0
8
4
4
4
4
4
0
32
0
16
16
0
0
0
0
0
0
0
0
0
0
0
56
56
32
8
8
8
8
0
0
0
0
20
0
0
24
0
0
2
0
0
16
0
0
0
0
4
18
8
0
16
0
0
0
2
8
8
16
0
0
0
0
0
2
8
8
0
0
0
0
0
8
0
8
24
0
8
24
4
4
4
16
0
0
0
0
12
4
0
0
8
0
0
0
0
16
0
0
12
12
0
0
0
0
16
16
8
0
8
8
8
0
15
0
0
16
0
9
16
16
0
16
16
8
0
0
8
0
0
0
1
32
9
0
0
16
16
16
0
16
8
0
8
0
8
0
1
1
8
0
0
0
1
16
4
0
1
8
0
0
0
0
0
0
8
0
0
8
8
8
8
0
0
0
8
0
0
0
0
0
0
0
0
40
40
40
0
24
0
0
0
0
0
0
20
20
8
8
8
8
0
0
8
0
8
8
0
8
8
0
0
0
2
2
2
4
4
0
0
0
0
0
8
8
0
0
8
8
8
56
4
4
16
16
16
1
1
1
0
0
0
0
0
1
0
0
0
0
24
0
32
32
32
32
32
16
48
48
8
0
16
0
44
44
0
0
0
0
0
0
4
20
0
16
16
0
0
0
0
0
8
0
0
16
0
0
0
8
0
0
2
8
0
0
2
17
17
0
0
16
16
8
0
0
0
8
8
16
16
8
36
0
16
16
8
32
32
8
8
0
0
0
0
8
12
24
24
16
8
8
8
8
8
16
8
8
16
0
18
18
18
0
0
2
1
1
1
1
1
1
1
1
0
8
8
4
4
4
4
8
0
0
13
8
16
8
1
0
0
24
24
0
2
0
0
0
2
0
8
0
0
0
16
16
20
0
0
8
8
0
0
16
4
16
4
4
16
8
8
0
0
0
8
8
0
0
0
0
8
8
8
0
8
1
1
0
0
16
0
4
0
8
8
1
1
16
0
0
28
0
0
0
0
0
0
0
8
0
0
0
0
0
0
8
8
16
16
0
8
8
0
0
0
0
8
8
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
8
8
8
0
4
0
0
8
8
8
8
0
0
0
8
8
16
0
0
0
0
0
18
8
0
0
0
0
0
0
2
2
2
16
8
0
0
0
8
8
16
1
0
0
0
0
8
8
0
0
4
0
0
0
16
2
8
0
0
0
0
0
0
0
4
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
0
0
16
16
0
0
0
0
4
12
40
25
0
0
6
6
16
16
21
16
0
0
8
28
28
28
0
0
8
8
16
0
8
8
16
0
16
16
8
16
2
8
8
32
0
8
0
2
2
0
0
0
0
24
0
0
16
0
0
0
0
0
8
8
16
16
16
0
0
8
0
16
2
0
0
6
0
0
0
0
0
2
0
1
0
0
0
4
8
0
0
0
0
2
0
1
1
1
1
1
0
8
8
0
8
8
0
1
8
0
0
16
8
4
0
0
0
2
48
48
0
4
2
2
0
0
0
0
0
0
0
6
6
6
0
8
32
4
6
8
8
8
8
8
8
0
0
8
0
0
37
0
36
0
16
16
0
0
20
0
0
8
8
0
0
0
0
0
0
28
8
8
8
16
16
0
2
24
24
16
16
16
0
24
0
0
0
1
0
0
0
0
0
0
2
2
0
0
0
0
0
0
0
0
0
0
4
1
8
0
0
16
0
0
8
0
8
8
8
40
9
9
4
16
1
1
0
0
25
0
0
0
0
2
16
16
0
0
8
0
0
24
16
4
16
2
1
8
0
8
8
8
8
0
0
0
0
0
0
0
4
4
0
0
0
16
0
16
16
8
8
33
0
8
8
8
0
0
8
0
0
56
56
0
8
8
30
16
0
16
0
0
16
0
0
0
0
0
0
32
1
0
16
0
0
2
8
2
2
0
0
8
8
0
0
0
0
0
0
0
0
16
16
0
0
0
0
16
24
16
0
0
0
18
0
0
8
0
16
0
0
0
8
0
16
0
0
17
8
2
2
2
0
16
0
0
0
0
0
32
0
2
0
16
0
0
2
0
0
0
0
0
0
4
8
8
8
0
0
0
0
2
2
0
0
16
0
0
0
8
16
0
0
8
8
1
0
0
0
0
0
16
0
0
0
1
1
8
8
8
8
8
0
0
8
0
16
1
1
16
0
0
0
0
0
0
0
0
8
36
36
0
0
0
0
20
2
0
0
0
28
0
0
16
8
0
0
20
0
0
20
0
0
0
4
8
8
8
16
16
16
8
0
0
0
0
0
0
2
4
4
16
33
0
16
16
56
4
0
0
2
8
0
16
0
0
0
16
0
0
0
4
0
0
0
0
0
0
22
22
8
16
16
2
2
0
0
1
0
4
19
0
0
16
16
16
0
2
0
12
12
0
16
0
1
0
0
16
0
32
0
8
0
0
16
33
4
0
0
16
0
8
24
0
16
8
0
0
0
0
0
8
0
0
16
1
0
8
8
8
8
0
0
0
0
0
0
8
32
32
2
32
32
32
32
32
2
2
8
16
20
0
4
0
0
8
0
0
0
0
20
8
0
0
0
0
0
0
0
8
0
0
12
12
8
0
0
0
4
17
16
16
4
4
0
0
48
0
4
4
0
0
0
0
8
16
16
8
8
8
0
8
0
0
0
0
0
0
0
0
0
0
0
13
13
8
8
8
8
2
1
1
1
1
6
0
0
16
0
0
4
0
16
16
0
6
6
8
8
0
32
32
16
8
0
0
0
0
0
0
0
0
1
0
0
0
16
0
8
0
0
0
8
0
0
1
8
4
0
0
20
20
20
0
0
0
0
0
17
17
24
16
16
0
4
4
4
16
16
24
4
0
0
20
20
4
0
0
0
0
0
0
2
2
0
0
8
0
0
4
18
0
32
32
4
0
0
0
1
0
0
4
0
8
0
8
0
0
0
0
0
0
8
8
20
1
0
0
0
8
8
8
0
0
25
25
25
25
0
0
0
8
8
8
8
8
8
8
24
0
0
8
24
8
0
0
0
0
20
0
0
0
8
1
0
0
0
1
28
28
8
0
0
4
8
0
0
0
12
12
0
2
0
0
8
0
0
0
0
2
2
2
17
17
18
18
8
16
0
0
0
0
8
0
0
0
0
0
0
24
0
16
16
0
0
0
0
0
0
0
0
0
8
2
0
0
0
0
0
1
0
8
0
0
32
32
0
0
0
8
8
8
0
16
16
0
0
0
8
0
0
0
32
48
20
0
0
25
25
0
0
0
0
0
0
0
0
0
24
0
8
0
16
16
0
16
8
19
0
1
4
16
16
16
6
0
8
16
8
8
8
8
20
0
0
0
0
0
2
2
2
24
0
0
16
8
0
16
0
8
20
16
16
4
0
0
0
0
0
16
0
0
0
0
0
0
0
2
12
0
0
0
0
8
0
0
0
0
1
8
8
8
4
8
4
8
8
0
0
0
0
8
8
8
0
0
0
0
0
16
0
0
0
0
0
17
17
0
0
0
48
48
0
0
0
0
16
16
16
0
0
0
0
0
4
8
8
0
7
0
0
17
17
0
0
0
0
8
16
0
0
0
16
1
1
16
0
4
8
0
4
0
0
0
16
8
8
8
8
16
0
8
8
8
8
0
0
0
0
0
0
0
1
0
0
0
8
2
0
0
8
8
8
0
0
0
4
37
4
0
0
0
0
0
4
51
0
1
1
0
0
0
2
2
0
4
4
0
0
0
8
9
4
0
0
28
0
0
0
0
0
0
8
0
16
16
0
0
0
8
0
0
8
0
0
16
0
0
0
0
0
8
0
0
0
0
0
0
16
8
0
0
16
0
0
0
0
8
2
0
4
4
16
16
0
2
0
0
8
0
0
0
0
0
0
16
0
0
8
32
32
8
8
8
0
0
8
8
20
8
0
0
0
0
0
0
0
13
0
3
0
1
8
0
16
0
1
1
1
0
14
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
32
0
8
0
0
0
0
8
8
8
8
0
8
8
0
52
0
0
0
0
8
8
0
0
0
0
16
0
0
0
0
0
8
0
0
0
0
0
16
0
0
0
0
8
2
4
0
0
0
8
0
0
8
8
0
0
49
16
0
0
0
0
0
0
0
0
8
1
1
0
6
8
8
8
8
8
0
0
0
0
0
0
0
24
0
8
8
8
0
0
18
16
16
0
0
0
2
2
2
1
0
0
0
0
0
8
0
0
0
0
0
0
0
8
0
4
0
4
0
0
0
0
0
4
4
24
16
16
16
16
16
4
0
8
8
0
4
0
8
0
0
0
0
0
0
0
8
8
2
8
8
8
8
0
0
1
0
0
0
2
2
2
16
0
8
16
2
0
14
0
32
24
24
24
24
8
8
8
8
2
0
0
16
16
4
8
16
0
0
4
0
0
0
1
0
0
0
0
16
16
0
8
0
0
8
8
0
0
0
4
0
0
0
26
0
0
1
0
0
8
0
0
0
0
0
0
0
6
16
0
0
0
16
0
0
0
0
0
0
0
0
8
24
4
0
0
0
16
16
16
24
2
2
2
2
0
0
16
0
20
22
22
0
8
0
1
8
6
16
1
16
2
8
1
16
16
16
0
0
0
17
0
0
0
0
0
0
8
8
8
2
2
12
16
2
2
2
0
1
0
0
16
16
8
4
4
4
8
0
4
1
1
0
0
0
16
8
0
0
0
4
4
16
16
16
4
8
8
16
1
1
1
4
4
4
8
0
8
0
0
0
0
0
0
12
12
16
56
16
0
0
4
4
0
0
0
0
8
16
0
0
4
4
0
0
0
0
8
8
16
8
8
4
0
0
16
16
0
0
0
0
0
8
0
0
4
0
1
8
0
0
0
0
0
0
0
0
8
0
0
0
16
0
0
0
0
0
0
0
0
0
0
8
8
0
0
16
16
16
16
0
0
8
6
6
0
8
0
8
8
4
0
16
2
0
2
4
4
4
4
8
8
0
0
0
0
8
8
16
16
0
0
8
0
0
0
16
16
8
0
0
0
8
9
16
16
17
17
16
2
0
0
0
0
0
0
16
36
24
0
0
0
4
16
0
0
16
8
8
8
8
0
0
0
0
0
0
8
0
0
0
8
16
16
16
1
0
0
2
8
32
24
0
8
8
16
16
32
32
8
0
0
0
0
4
0
16
17
0
0
8
8
0
16
0
0
8
8
0
16
8
16
8
16
0
0
32
4
0
0
0
0
0
0
4
4
0
0
0
0
0
0
8
16
0
0
0
0
0
3
8
0
8
0
0
0
0
0
0
8
0
0
16
16
16
0
8
8
0
0
1
0
0
0
16
0
0
1
16
0
0
0
0
4
8
0
8
8
0
0
24
0
8
18
1
0
60
60
0
0
0
0
0
8
0
16
0
2
24
24
0
0
0
0
16
16
4
16
16
0
0
0
32
4
0
0
0
1
8
8
0
1
0
0
4
1
4
4
24
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
8
0
0
0
8
0
0
0
0
0
40
16
16
4
4
4
0
0
0
0
2
0
0
16
0
32
2
2
1
16
10
8
20
8
8
0
0
4
4
8
0
0
0
32
32
32
8
8
24
8
8
6
0
0
0
0
0
24
0
16
8
8
8
20
8
16
16
0
2
16
32
0
4
16
0
1
16
17
25
0
0
0
0
2
0
0
24
1
16
16
0
0
48
48
0
0
8
8
8
2
2
0
0
0
16
16
16
0
12
0
0
16
0
0
0
17
17
17
1
0
0
0
0
40
0
0
0
0
0
16
0
4
4
4
4
0
12
12
0
0
8
0
24
24
4
4
8
0
0
0
0
16
0
0
0
0
0
8
0
16
16
16
0
2
8
0
0
0
4
4
0
0
17
0
0
20
20
0
16
16
16
0
12
12
8
0
8
16
16
1
0
4
4
0
0
0
16
0
0
16
26
26
32
16
16
16
0
0
0
0
0
0
1
24
0
32
0
8
2
16
0
16
0
0
8
0
0
8
8
0
0
0
0
0
0
1
1
0
0
8
8
0
0
0
0
1
1
1
40
12
12
8
16
8
8
8
8
0
16
16
0
40
0
0
0
0
4
6
0
4
16
16
4
24
0
0
0
5
30
4
1
2
0
9
8
8
0
0
0
0
0
0
0
0
16
0
1
1
16
8
8
32
16
16
0
0
0
0
0
18
18
8
8
0
0
0
0
10
8
0
0
0
0
0
8
8
0
32
16
0
0
1
1
0
0
0
0
0
0
1
1
8
8
8
0
18
20
0
0
16
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
4
0
0
8
0
12
0
16
0
2
16
16
8
18
18
18
18
18
16
0
32
0
9
9
9
0
0
0
0
0
0
0
1
0
16
16
8
0
0
8
8
0
18
4
4
4
4
4
4
8
8
8
8
1
0
0
0
57
57
8
8
1
0
0
4
4
16
8
0
0
0
8
16
8
24
0
0
0
8
9
9
2
2
4
24
8
8
8
0
0
8
8
0
0
4
1
0
0
8
20
0
20
0
0
16
16
16
0
0
4
0
0
0
20
0
16
16
16
16
0
0
0
4
20
0
24
16
16
4
4
4
4
4
4
4
8
0
0
0
16
0
0
0
8
8
0
0
8
8
8
0
8
8
0
0
0
0
0
0
0
0
6
4
12
16
0
41
41
8
8
0
0
0
0
0
9
16
1
4
8
8
0
8
0
0
8
0
0
0
0
0
26
4
4
0
4
4
1
8
0
1
1
20
4
4
28
16
16
16
1
1
0
0
0
0
8
8
8
0
0
0
0
0
0
0
8
0
0
0
0
0
8
0
8
0
8
12
40
0
0
0
0
0
0
8
8
16
0
0
0
0
0
4
32
0
32
0
0
0
0
0
0
0
1
4
0
24
0
0
0
12
0
16
16
8
4
16
2
16
8
0
2
8
0
0
16
0
0
2
1
1
0
0
0
0
0
0
0
32
8
0
16
16
0
0
0
0
4
0
0
0
0
0
0
20
4
8
0
0
1
4
0
0
0
0
0
0
0
0
0
0
0
32
16
16
8
8
0
8
0
0
16
0
16
16
8
0
0
0
0
0
0
0
0
0
0
0
0
8
0
5
5
5
5
0
0
16
8
0
2
0
4
16
8
22
0
2
25
8
0
2
0
14
8
12
12
0
0
16
16
16
16
16
0
0
0
0
8
8
0
0
12
8
8
16
2
4
1
0
6
12
0
18
0
0
0
2
6
8
0
0
20
8
1
0
0
4
0
8
8
0
8
16
0
0
0
0
8
8
0
8
16
16
4
8
0
6
6
6
16
16
1
1
16
0
0
1
0
0
0
4
0
4
4
24
0
0
0
0
0
0
0
0
0
0
2
8
4
0
0
0
0
8
0
8
8
1
20
0
0
0
0
0
4
4
8
2
8
8
8
8
0
0
0
0
0
0
8
0
0
0
0
0
16
16
16
0
0
0
16
16
0
0
6
0
0
0
0
0
8
0
16
16
0
0
16
0
8
8
4
4
8
16
16
0
0
0
0
0
0
0
0
0
0
8
0
9
1
1
16
8
0
0
12
12
12
0
0
0
0
0
0
1
8
16
0
0
0
0
32
0
0
2
8
8
8
0
0
9
9
0
4
0
0
0
0
0
0
0
0
0
24
0
0
0
24
8
8
0
0
8
0
0
24
1
0
0
0
0
1
16
0
0
0
0
0
0
16
0
1
0
0
0
0
0
0
16
0
0
1
8
0
0
16
0
2
28
28
28
0
0
0
16
16
1
8
8
0
16
16
8
8
0
0
48
48
0
0
0
0
35
8
8
4
4
4
4
6
6
6
16
0
48
48
0
0
0
0
0
0
0
1
0
4
0
0
0
0
0
8
8
8
24
8
8
8
8
0
2
16
0
4
16
0
8
8
8
0
0
8
0
0
0
5
1
0
8
8
58
58
58
0
0
0
9
9
8
8
0
4
32
32
8
16
18
0
8
20
6
0
0
0
16
0
1
0
0
0
0
0
0
8
8
8
0
2
0
0
16
0
0
0
1
0
0
2
2
8
0
8
1
0
0
0
0
0
0
4
4
4
0
0
0
1
0
0
4
0
0
0
16
0
8
0
0
2
2
0
0
0
0
8
8
8
2
8
8
0
0
0
0
4
0
4
1
4
4
4
0
16
16
16
0
0
0
0
8
4
4
8
8
4
0
16
0
0
0
0
0
0
0
16
0
0
0
0
0
0
8
4
4
4
4
16
16
16
40
0
0
0
0
9
0
2
0
0
0
0
24
24
16
16
0
18
0
24
32
0
0
16
16
16
0
8
16
0
0
0
0
0
0
0
0
2
2
38
16
8
1
0
0
16
0
0
0
8
4
0
0
0
8
8
0
0
0
0
0
0
0
1
1
24
0
0
0
0
0
0
32
0
0
0
1
0
0
0
0
8
36
0
0
0
16
8
8
0
17
17
8
8
0
16
4
4
20
16
16
16
0
16
8
8
0
0
16
16
16
2
0
0
8
0
0
4
4
0
0
0
0
20
20
0
0
20
20
20
20
8
8
0
0
8
0
24
24
4
0
0
8
2
2
8
8
0
0
0
8
0
0
2
0
0
16
8
4
4
4
4
8
0
0
8
0
0
0
0
0
0
0
0
8
4
4
4
4
0
0
0
0
2
2
0
0
0
8
0
0
0
0
0
8
0
0
0
36
36
0
0
8
8
0
2
24
0
8
40
0
24
0
8
0
1
0
8
8
8
8
8
8
0
0
0
0
0
0
1
24
24
24
32
16
2
0
2
2
8
32
8
0
0
8
8
0
0
0
8
16
16
0
0
0
11
8
0
4
0
0
16
16
16
0
17
0
16
16
10
10
3
3
0
0
0
26
0
1
0
0
0
0
0
0
8
0
0
0
8
0
0
0
0
8
0
14
14
0
8
8
8
0
16
2
2
0
0
0
48
48
0
0
0
0
8
16
0
0
8
16
0
1
8
8
2
2
0
0
0
0
0
0
56
56
4
4
8
0
0
0
0
4
16
16
4
0
4
0
4
0
0
16
0
0
0
0
16
16
20
0
2
8
16
16
0
0
16
16
16
16
0
0
32
32
16
0
8
1
0
0
0
8
1
0
8
8
8
8
0
0
0
4
0
0
8
0
0
0
0
8
0
0
0
32
32
32
32
0
0
0
0
0
16
0
0
16
8
8
0
0
4
0
8
0
16
16
16
0
0
16
16
0
2
2
2
2
2
8
8
4
0
0
0
0
0
0
0
2
4
0
8
0
8
8
0
2
2
2
16
16
16
8
8
0
0
2
2
16
16
16
16
16
0
0
0
4
8
8
0
0
24
4
0
8
8
0
0
8
8
0
0
0
0
16
16
16
0
0
0
16
0
0
8
0
0
8
8
0
0
8
0
2
8
0
4
0
4
1
1
8
20
1
1
0
0
16
24
24
0
0
0
0
0
0
0
0
0
0
0
24
0
0
0
8
0
16
16
0
0
16
4
4
8
0
0
25
16
1
4
16
0
16
0
0
0
4
63
8
16
24
40
4
4
1
1
0
0
0
0
0
0
0
12
0
0
8
8
8
0
0
0
0
0
0
2
16
16
16
16
16
0
0
0
0
16
0
8
16
0
2
0
16
16
0
0
0
0
16
16
0
8
0
0
8
8
0
0
8
0
0
16
16
0
0
0
0
8
8
4
4
4
2
0
0
0
0
0
0
16
16
0
0
0
8
41
16
16
16
0
24
24
8
8
24
0
16
24
8
8
8
8
0
0
0
0
16
8
8
4
4
32
16
8
0
0
0
0
0
0
16
0
8
16
16
0
16
49
16
16
16
9
16
0
24
16
16
16
0
8
32
10
0
16
2
2
0
0
0
8
8
8
0
0
0
0
0
4
4
0
0
0
4
4
0
0
8
0
0
8
8
8
0
0
0
0
0
0
4
0
0
0
4
4
16
0
0
0
0
16
0
0
16
0
0
0
0
0
0
0
16
8
8
0
16
16
0
1
1
1
1
0
0
0
8
2
0
0
0
0
17
17
4
16
18
18
0
0
0
8
0
8
8
8
0
0
8
16
0
4
0
0
0
8
8
8
24
0
8
0
8
56
8
8
8
8
8
8
2
2
8
8
8
0
1
8
8
8
2
0
0
0
4
16
16
2
16
16
8
8
16
16
0
1
0
0
0
0
0
8
0
0
0
0
0
0
0
19
4
0
1
21
0
16
16
0
0
0
4
16
0
8
8
8
4
4
0
0
25
12
16
16
0
8
8
2
0
0
0
0
1
2
21
21
21
0
0
0
4
0
0
0
0
0
0
0
2
2
8
8
8
8
16
16
3
0
0
33
33
8
16
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
0
0
0
0
16
8
8
0
0
0
16
0
16
16
0
0
0
0
32
1
1
1
16
0
16
0
16
16
0
0
16
16
8
0
0
0
16
0
8
0
16
8
8
0
0
0
0
0
0
0
14
14
4
0
8
8
8
0
16
4
4
4
4
0
16
16
16
16
8
0
0
0
0
0
0
16
16
0
0
0
0
6
8
0
8
2
2
0
8
4
4
0
0
0
0
0
8
16
0
0
24
1
1
1
1
0
8
0
16
16
16
16
0
0
8
4
16
16
0
16
0
0
4
10
24
24
0
0
0
0
0
16
0
16
32
0
0
4
0
0
0
0
0
0
0
33
16
0
0
0
0
8
8
0
0
0
0
0
0
0
12
12
12
0
0
0
1
0
16
16
4
4
8
8
16
13
2
0
32
0
0
0
0
18
0
0
0
0
8
8
0
0
8
4
0
8
0
0
22
16
0
16
0
0
4
0
8
8
8
20
2
2
0
0
0
16
0
0
1
0
32
0
0
0
0
16
0
0
2
0
0
0
0
0
24
0
0
0
16
0
0
0
0
0
8
0
8
8
8
8
0
8
8
8
0
0
0
0
8
8
8
0
1
4
18
32
0
0
8
4
4
0
0
0
1
1
1
1
1
1
16
16
20
20
20
20
2
0
0
8
0
0
0
0
0
0
16
0
0
4
0
8
0
0
0
8
0
8
2
2
2
16
8
4
32
0
0
8
0
0
0
0
0
0
0
0
0
0
0
8
18
0
0
0
18
0
0
0
0
48
0
0
16
8
8
0
8
0
16
0
0
4
8
1
1
8
0
5
0
0
0
0
8
16
0
0
0
16
16
1
0
0
8
0
16
1
1
0
0
0
0
8
0
0
8
0
0
0
0
0
0
4
0
8
0
0
0
0
0
0
8
0
0
4
0
0
8
0
0
0
8
2
0
0
0
0
0
0
0
4
8
8
0
0
0
0
8
8
8
8
0
0
0
0
4
8
0
0
24
8
0
0
36
36
0
32
24
24
16
8
8
16
0
8
0
22
22
16
16
0
0
0
0
0
1
0
24
24
24
0
0
0
0
0
0
0
0
0
8
8
0
0
20
0
0
0
0
0
0
4
4
0
0
8
16
16
0
0
0
0
1
1
1
32
16
16
16
0
16
0
4
16
16
0
8
8
8
8
4
1
1
0
0
0
0
0
0
0
8
16
0
0
0
0
0
0
0
16
1
10
0
0
8
0
16
16
0
8
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
8
16
8
0
0
0
0
0
0
8
8
0
0
0
8
28
0
0
0
8
40
8
0
0
1
1
24
0
0
0
2
16
0
0
0
0
1
1
1
1
1
4
8
0
0
0
1
4
0
0
0
32
0
8
8
8
17
17
17
17
2
0
0
0
0
0
0
24
8
0
0
8
8
8
0
0
0
0
0
1
1
0
18
2
0
0
0
4
16
0
0
0
8
8
32
0
0
0
24
8
16
16
16
16
33
17
1
1
8
16
0
0
0
0
24
0
0
0
4
4
8
16
16
16
0
0
8
0
1
0
0
0
0
0
0
0
4
0
1
1
1
0
0
6
6
0
0
0
32
32
2
2
2
2
2
2
0
4
0
0
0
0
0
0
0
16
0
1
0
0
8
16
8
0
0
0
0
0
0
8
8
0
0
8
0
16
16
0
0
0
1
0
0
8
8
8
24
8
0
8
0
0
8
8
8
0
0
0
0
4
0
18
0
0
0
0
0
0
0
16
16
4
17
16
8
8
8
8
0
0
1
1
1
0
0
0
0
0
0
16
8
0
0
0
8
8
0
8
17
17
17
20
1
4
4
4
16
0
0
0
0
2
8
0
12
16
16
8
8
8
8
9
1
0
0
0
12
8
0
4
4
4
4
4
1
0
0
0
0
0
0
16
16
8
16
0
16
4
4
4
4
4
4
4
0
4
0
16
0
0
16
2
2
16
8
0
0
0
0
0
16
0
8
1
0
0
8
8
8
0
8
8
8
8
0
4
8
16
16
0
8
8
8
8
8
0
0
0
0
0
8
0
0
16
16
16
16
0
4
0
0
8
0
8
8
0
8
0
6
2
0
0
0
1
0
0
0
4
4
0
16
16
0
1
0
0
1
0
0
4
8
32
0
2
2
2
2
32
32
32
0
0
0
8
8
8
0
0
8
8
8
0
0
16
8
0
16
0
16
0
0
18
0
0
16
16
16
1
0
0
0
8
8
8
8
2
2
8
8
0
0
0
0
0
4
4
0
8
8
0
32
4
0
0
0
0
8
8
1
1
1
1
24
16
0
8
2
2
0
8
24
16
8
0
8
8
0
0
32
0
0
0
0
0
8
0
0
0
3
0
4
4
4
4
32
32
32
0
0
0
0
0
0
8
0
8
8
8
8
8
4
8
16
1
1
0
0
0
0
16
0
0
0
0
0
8
8
8
8
16
2
16
60
0
0
16
0
2
2
0
2
0
1
1
0
0
0
0
0
0
1
1
16
16
16
16
16
16
8
8
0
0
0
24
0
0
24
0
0
0
16
8
8
8
8
16
0
0
16
16
22
22
22
0
0
8
0
0
8
16
16
16
4
8
16
0
16
0
16
8
8
0
2
0
2
1
1
0
4
4
0
16
16
0
0
12
8
0
4
1
0
0
8
0
8
0
0
0
0
0
0
16
0
0
0
0
4
0
0
16
0
0
0
16
1
8
8
8
0
0
0
0
18
2
0
0
16
0
4
0
0
16
0
4
33
10
16
16
1
1
0
0
0
8
8
8
0
16
0
0
0
0
24
8
20
1
16
0
2
2
16
0
0
16
8
8
0
8
0
8
0
8
0
0
2
0
4
0
0
8
20
0
0
0
0
4
0
0
0
0
16
16
0
8
0
37
0
0
0
4
4
4
0
0
16
16
16
1
4
4
4
8
0
16
0
8
0
0
0
0
0
44
44
0
0
16
16
0
0
0
0
0
0
24
16
16
4
8
0
32
0
1
8
24
24
16
8
8
0
2
0
0
12
0
2
2
32
32
32
0
0
0
0
0
0
0
0
4
4
2
2
0
16
8
0
56
0
16
0
16
2
0
0
0
0
2
0
0
8
4
17
0
0
0
8
8
8
0
0
8
0
0
0
0
0
4
0
8
8
4
0
0
16
0
1
1
0
0
16
0
0
0
0
1
0
25
25
0
0
0
0
0
0
0
0
57
8
8
0
0
0
0
0
0
8
0
0
0
0
0
9
24
0
1
8
0
0
0
0
0
0
0
4
4
4
0
0
8
0
0
0
0
0
0
8
8
16
16
0
0
0
0
16
8
38
0
16
0
4
4
0
0
0
16
0
8
21
21
21
16
16
16
16
8
0
0
0
16
8
8
2
2
1
0
0
0
0
0
0
0
0
34
34
12
16
1
0
0
0
0
8
2
2
0
4
0
0
0
0
8
0
0
0
0
16
0
8
8
8
8
24
0
0
3
3
3
8
20
0
2
8
24
0
0
0
0
0
8
2
2
0
1
0
0
0
8
8
8
8
2
2
2
8
32
16
8
0
8
8
8
4
0
0
8
0
0
0
0
8
8
8
8
18
0
2
33
33
0
0
1
0
0
0
0
34
34
0
0
0
0
0
8
0
0
0
8
1
24
0
1
8
0
4
0
8
1
0
0
0
0
8
0
16
0
0
0
0
0
0
16
16
16
0
2
0
8
8
8
0
0
0
0
16
8
0
0
0
16
0
0
0
24
24
8
0
0
0
0
34
8
8
0
16
24
0
8
0
0
0
8
1
4
0
8
8
8
0
0
25
2
2
0
16
0
8
8
0
0
0
0
0
8
0
0
0
0
0
0
16
16
0
4
4
17
17
0
8
8
8
8
8
8
16
0
34
16
0
16
8
33
0
0
0
16
0
0
0
8
8
0
0
0
8
0
0
0
0
0
0
0
0
4
4
0
12
36
25
25
4
4
16
8
8
8
8
0
0
0
4
0
0
0
1
0
0
0
0
0
0
0
8
8
8
4
4
0
1
8
8
8
0
16
4
8
8
8
8
0
2
0
8
8
0
0
16
8
0
0
16
24
10
16
16
0
0
0
8
4
0
33
2
0
0
0
4
8
16
16
0
0
20
0
0
0
35
0
0
0
16
0
16
0
0
4
8
32
32
1
1
1
1
0
57
57
0
0
0
0
8
8
2
32
0
0
0
0
12
16
0
6
0
0
0
0
0
0
8
8
0
12
0
2
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
4
8
8
8
0
0
8
8
0
0
0
0
0
0
8
0
0
0
0
0
0
0
1
1
1
3
4
4
10
0
0
4
2
16
10
0
4
0
0
0
12
0
0
4
0
0
8
0
0
0
0
0
8
0
0
0
0
0
0
0
0
4
0
0
0
32
0
4
0
0
1
8
16
0
0
0
0
4
4
4
0
8
0
4
0
0
0
0
0
0
0
8
8
0
0
0
8
16
16
0
0
48
48
48
24
4
4
0
8
8
8
0
0
28
28
8
0
0
0
24
24
0
0
17
17
16
0
1
0
0
16
0
0
0
0
0
0
21
0
0
0
1
8
8
0
0
0
8
16
0
0
16
8
0
0
0
0
0
0
16
16
0
16
0
0
0
0
16
0
2
2
2
24
24
24
24
8
16
0
16
8
0
0
8
8
0
1
1
1
0
2
2
0
0
8
8
16
16
16
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
20
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
24
16
16
8
8
8
0
0
0
0
0
0
0
16
0
24
24
24
24
0
0
16
16
16
0
16
0
12
8
8
6
16
0
0
0
0
0
2
2
2
2
16
16
0
0
0
0
8
16
16
16
0
0
0
0
0
1
36
0
8
2
0
0
4
16
0
8
8
0
4
0
0
20
16
24
18
4
4
0
0
0
8
0
4
0
16
0
8
8
0
0
33
0
1
8
32
0
4
4
4
0
0
8
0
4
0
4
1
17
8
8
8
8
0
0
0
3
0
0
0
0
0
8
0
0
0
0
8
0
0
0
0
8
2
0
0
8
0
1
8
0
24
24
0
0
0
22
0
0
16
0
4
0
0
0
0
0
0
1
1
1
1
0
8
0
0
16
16
4
4
0
16
16
0
4
0
0
0
1
1
0
0
1
32
0
4
0
16
16
0
24
13
13
1
1
1
0
9
0
0
0
0
0
0
1
1
0
0
16
0
1
1
0
0
0
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
20
8
0
52
0
0
16
0
0
0
0
0
0
19
19
0
2
8
0
0
4
4
4
16
16
8
8
16
0
0
0
0
32
0
16
4
4
0
0
0
0
16
0
0
0
0
0
8
8
8
8
32
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
9
0
0
0
8
16
6
0
0
16
16
2
20
0
0
0
0
18
0
0
16
0
21
21
16
5
5
5
0
16
8
8
8
8
8
0
8
0
0
0
8
0
0
0
0
0
0
0
0
0
4
8
8
4
8
4
4
8
8
8
0
0
0
26
26
0
0
8
8
0
0
3
3
20
20
8
0
4
4
0
0
0
16
0
0
24
9
9
9
0
0
0
1
0
32
1
8
8
16
0
0
0
0
0
0
0
0
0
20
4
0
0
0
0
0
0
1
0
0
0
0
0
0
0
16
0
0
0
0
32
32
32
0
0
4
16
0
0
0
0
0
0
4
4
16
18
18
16
16
0
1
1
0
0
4
0
0
0
0
0
0
16
0
0
0
16
16
0
0
0
0
0
16
1
16
16
16
4
0
0
0
0
0
28
4
62
0
0
0
0
0
0
0
0
0
0
4
0
0
0
4
0
4
0
0
8
0
8
16
0
0
8
0
8
0
16
0
0
16
42
0
32
1
32
16
16
16
16
0
0
0
0
8
16
1
1
1
0
8
0
0
0
0
0
0
0
0
0
16
0
0
8
4
0
4
0
0
0
16
16
0
8
0
8
16
16
24
4
4
2
0
0
0
17
8
8
0
0
0
1
1
0
0
0
16
32
32
32
4
4
16
16
4
4
0
0
0
8
0
0
0
0
24
0
0
0
0
21
21
21
33
33
33
33
33
0
1
1
8
0
0
0
0
10
0
0
0
8
0
16
0
0
0
4
4
8
0
8
0
0
0
0
16
42
0
2
0
0
0
0
0
0
0
2
8
0
0
0
12
0
0
0
0
0
0
8
29
8
16
0
0
0
2
0
0
0
32
12
0
0
4
0
16
0
4
0
48
0
0
0
0
8
0
8
8
6
8
8
16
8
0
0
16
8
0
0
0
0
0
33
33
33
33
33
33
8
4
0
0
0
0
4
4
4
4
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
12
8
0
0
0
16
8
8
0
0
0
0
0
8
0
0
0
0
4
0
48
8
8
2
24
8
8
8
8
8
9
0
0
0
0
16
16
16
0
0
0
1
1
1
32
0
0
0
8
8
0
0
0
0
0
8
0
0
0
0
16
16
0
0
0
8
2
0
0
4
0
0
16
0
0
8
0
8
0
0
8
0
8
8
8
16
0
0
0
0
8
16
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
4
4
4
4
4
4
0
8
0
0
0
0
0
1
1
0
0
8
8
0
8
16
0
16
16
0
2
2
8
8
8
4
48
48
48
48
8
16
2
0
0
0
0
0
8
8
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
10
10
16
16
0
0
8
8
8
2
2
0
16
0
32
8
0
0
16
16
8
0
0
0
26
26
32
0
4
0
2
2
0
0
0
0
0
0
8
0
0
5
5
4
17
1
1
0
0
9
0
10
8
8
2
0
0
0
0
0
9
0
0
0
0
0
0
0
0
8
8
0
8
0
1
32
0
0
2
0
0
3
3
1
16
16
16
0
0
36
0
0
0
0
0
0
0
0
1
0
0
0
0
0
16
16
16
8
8
8
8
8
8
17
17
28
28
16
16
4
0
12
4
0
0
0
0
8
8
0
0
0
8
16
0
20
48
48
48
48
16
8
8
0
16
0
0
9
0
0
0
8
0
1
8
8
0
0
0
1
0
16
16
16
16
4
8
0
4
4
4
4
2
1
1
0
16
8
0
16
16
0
0
0
8
8
0
21
21
21
0
2
0
1
1
8
8
0
0
16
8
0
0
0
0
0
0
0
0
0
2
2
8
0
0
0
11
0
0
0
0
0
0
0
0
0
0
16
8
8
16
0
0
4
16
0
0
0
0
0
1
16
16
16
0
0
10
8
0
0
16
16
16
16
0
0
0
0
0
8
0
4
4
0
8
16
8
8
4
16
0
8
0
0
2
0
0
2
1
0
24
0
0
0
0
0
0
8
12
12
12
0
0
0
40
0
0
0
4
16
0
12
0
0
12
0
0
0
21
21
21
0
0
8
0
24
0
8
8
8
0
16
16
4
0
0
0
8
8
8
8
0
41
4
0
16
2
0
8
0
18
18
0
0
2
0
0
0
0
0
0
8
0
4
4
8
0
0
0
0
0
8
8
0
0
0
0
2
0
0
0
8
8
16
0
8
8
8
8
0
0
0
8
8
1
1
1
0
0
0
0
8
0
0
0
12
8
0
0
16
24
9
9
0
8
16
0
24
0
16
0
8
0
0
0
0
1
0
9
0
0
0
8
0
0
0
0
32
8
4
8
8
8
0
8
8
1
16
24
24
0
8
8
8
16
16
0
0
2
1
0
8
0
0
16
16
0
8
8
8
0
8
0
0
0
0
8
8
2
1
0
16
4
0
8
0
0
0
0
0
0
0
0
8
8
8
8
8
0
1
0
0
16
16
0
0
0
8
8
8
8
8
8
8
8
16
60
8
8
8
4
24
24
24
0
1
0
0
4
4
0
0
0
28
0
8
0
0
0
16
16
0
0
8
0
0
0
8
8
0
0
0
8
0
8
0
0
0
0
0
0
0
0
3
16
0
0
1
0
0
0
8
16
0
0
0
0
0
0
20
0
0
8
0
0
0
0
0
0
0
8
16
0
20
0
0
24
0
16
8
8
0
1
0
0
0
16
16
1
0
0
24
0
0
16
8
8
16
16
1
0
1
1
2
2
16
16
0
0
8
34
0
8
8
16
0
0
0
0
0
0
0
0
16
0
2
0
8
8
8
8
0
0
0
0
0
10
0
0
0
0
0
16
8
0
0
0
4
0
8
8
3
3
0
0
0
0
0
0
8
1
1
0
0
0
16
16
16
8
16
8
0
16
0
56
0
16
16
16
0
8
8
17
0
0
8
8
8
0
8
0
4
18
0
0
8
0
4
4
0
8
16
16
16
24
0
0
0
0
8
32
16
9
9
8
0
0
8
0
8
0
16
16
8
8
8
0
0
0
8
8
0
0
0
8
8
17
8
16
8
16
8
16
8
8
0
0
8
8
0
0
2
0
8
8
16
16
16
4
4
16
10
4
16
8
8
32
8
1
8
0
0
0
16
0
0
0
0
0
0
24
8
8
8
0
0
8
8
8
20
8
4
0
1
1
0
8
0
0
0
8
8
8
8
0
0
4
4
12
12
0
0
8
16
0
0
0
0
2
2
2
2
2
0
16
16
0
0
0
0
0
0
0
16
0
1
1
24
0
8
0
8
0
0
32
32
0
0
0
0
16
0
0
0
16
16
16
0
12
0
0
17
0
8
8
16
0
4
0
1
0
16
8
16
0
0
8
8
16
8
0
1
8
53
0
0
0
0
8
8
8
8
0
0
0
32
0
0
0
22
1
24
24
24
8
0
4
16
8
8
0
18
16
0
0
0
0
16
8
8
8
8
8
0
0
0
8
8
1
1
0
0
24
4
0
48
0
8
8
4
4
0
0
0
0
4
8
8
1
1
0
0
4
19
0
0
16
8
0
0
0
0
4
0
0
8
8
8
0
0
0
0
4
24
0
8
28
6
6
6
8
0
8
0
44
0
0
0
0
0
0
0
0
16
8
0
0
0
18
8
0
0
0
0
0
0
0
1
8
8
8
8
0
0
24
8
8
0
0
0
8
8
0
0
2
4
4
4
8
8
0
0
0
8
8
8
0
0
0
8
4
0
4
0
0
16
16
16
0
0
0
0
20
0
0
0
0
0
0
0
0
8
0
0
2
16
16
0
0
0
0
4
8
0
0
0
0
8
1
1
0
0
0
0
0
8
8
8
8
0
0
16
8
16
0
8
22
8
8
0
0
0
8
0
16
0
16
16
8
8
0
2
2
0
0
24
0
0
0
0
10
8
6
24
24
4
0
0
0
0
0
0
32
0
8
0
0
0
8
12
12
1
0
8
2
0
16
16
0
0
0
18
16
1
0
0
22
0
0
2
21
8
4
16
16
0
0
8
0
0
0
0
2
8
4
4
0
0
0
0
8
8
0
8
24
8
2
0
0
16
0
0
4
4
4
8
8
8
8
8
20
0
2
0
0
8
0
0
0
0
0
0
2
0
7
0
4
0
8
0
0
24
24
0
0
20
20
0
0
0
0
8
8
16
0
8
8
0
0
0
4
0
1
0
0
0
0
8
20
20
0
0
0
0
0
4
16
8
8
8
16
0
0
8
0
0
0
0
0
8
0
0
0
4
4
8
4
0
16
0
0
0
16
0
0
0
0
0
0
10
16
8
0
0
0
0
41
41
41
8
35
35
35
35
35
0
16
1
16
16
0
0
0
0
0
2
0
0
4
0
0
4
16
0
11
11
1
1
8
0
0
0
0
0
8
0
0
8
8
8
16
16
8
8
0
0
0
0
0
0
0
4
0
0
0
16
18
18
18
18
0
0
0
0
24
0
0
4
0
0
0
1
0
0
8
8
0
0
0
8
16
1
0
0
0
0
0
0
18
18
2
9
0
0
0
0
16
0
0
20
20
20
16
0
0
0
0
9
0
16
16
8
8
8
0
0
0
0
0
0
8
8
0
0
0
0
0
0
8
0
12
16
0
0
0
8
8
16
0
8
4
4
4
4
16
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
2
16
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
16
1
1
8
2
2
8
8
16
0
0
0
0
16
8
16
8
0
16
10
16
16
0
8
0
0
8
8
8
33
33
16
0
1
1
16
0
32
32
0
0
12
24
24
16
16
16
24
0
16
16
0
0
0
22
0
0
0
16
16
1
0
0
0
0
16
16
16
16
0
8
4
8
0
8
0
0
0
0
0
8
16
0
1
0
0
0
0
0
8
8
0
0
0
0
0
1
1
1
16
0
8
0
20
20
0
8
8
8
0
25
8
1
8
58
13
0
0
16
8
0
48
8
0
0
16
0
1
0
0
0
0
8
0
0
0
16
8
4
0
4
4
4
0
0
0
0
0
0
0
8
25
32
1
1
20
16
12
0
0
0
0
0
8
0
8
24
24
8
0
16
0
8
8
6
6
0
0
0
41
1
1
1
1
1
0
0
8
0
0
0
8
0
0
8
8
0
0
16
6
4
4
0
0
0
8
8
16
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
9
0
0
0
0
0
8
0
0
16
16
16
24
24
0
0
0
4
20
4
0
0
0
0
20
1
0
8
0
0
0
0
24
0
0
0
0
0
8
8
0
0
8
16
20
0
0
8
8
0
0
24
16
16
0
16
16
0
32
28
28
4
16
16
4
10
10
0
16
16
16
8
20
0
0
0
0
20
0
8
16
0
0
0
0
62
8
0
0
8
8
0
37
56
56
56
56
56
56
56
56
56
56
56
56
4
0
0
0
16
0
61
8
8
0
8
8
8
0
1
32
0
0
5
0
0
0
20
24
24
0
0
0
0
0
8
0
0
0
8
0
0
4
4
0
0
32
0
16
16
8
8
26
4
0
0
0
8
0
0
16
2
2
8
8
1
1
0
0
0
0
0
0
8
0
0
0
8
0
0
0
4
16
0
0
8
16
0
0
43
24
8
8
8
0
0
0
0
0
0
16
0
0
0
0
0
0
0
16
16
0
0
0
8
16
0
0
0
8
0
0
8
0
0
28
0
8
8
4
2
2
4
0
16
8
0
8
0
8
16
0
24
0
0
16
9
0
0
0
0
0
0
16
2
0
24
24
8
0
8
0
1
1
1
1
1
1
1
1
0
16
0
0
16
0
8
8
16
17
17
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
6
16
16
16
0
0
0
0
0
0
0
0
8
4
4
4
0
0
0
0
0
8
0
0
0
8
8
0
0
0
0
0
8
1
1
1
1
8
8
0
0
0
16
0
0
0
0
4
4
8
8
16
16
16
8
8
0
0
8
8
8
16
0
0
0
0
8
0
8
0
0
0
0
0
0
0
0
1
0
8
8
8
8
0
0
0
0
0
0
2
2
0
0
8
8
0
16
0
0
8
0
24
0
0
8
8
0
0
0
0
0
0
0
4
0
16
0
0
20
16
0
0
0
0
0
0
0
24
8
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
17
0
8
0
0
1
0
4
1
0
8
0
8
0
0
0
0
0
9
9
0
24
24
16
16
16
16
0
8
8
0
0
4
0
0
16
16
0
16
16
21
21
0
0
0
0
23
0
1
4
4
4
16
0
18
8
8
0
0
0
0
0
0
0
16
16
16
0
24
0
0
1
1
0
8
0
12
16
0
0
0
0
0
0
0
0
0
0
0
8
8
4
4
0
20
20
8
0
0
0
0
0
24
0
0
0
0
0
0
0
8
0
2
0
0
4
0
1
1
1
0
10
0
16
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
7
0
0
0
0
0
0
0
8
0
24
0
0
0
0
0
0
9
8
0
4
0
0
0
48
0
0
0
6
6
6
8
8
0
0
0
0
0
0
0
2
0
36
8
8
0
0
2
0
0
16
16
0
16
0
0
0
0
2
8
16
8
20
0
0
0
0
0
29
29
29
29
0
8
16
0
0
4
4
8
2
2
0
0
0
0
0
0
0
0
0
8
1
0
0
4
16
0
16
0
1
8
8
0
14
0
0
0
0
8
0
0
0
0
0
0
0
21
4
16
16
4
0
0
0
16
16
16
0
0
0
0
0
0
0
0
1
16
16
8
0
6
0
0
0
0
4
0
0
0
0
0
0
8
0
8
1
1
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
9
0
0
0
0
4
12
10
0
0
24
0
0
4
0
0
57
16
1
1
16
0
0
0
20
0
0
0
8
8
8
0
0
0
32
32
16
0
0
18
0
0
4
0
8
8
24
1
16
16
0
0
16
1
2
28
0
40
0
0
0
0
0
8
8
8
1
4
17
0
8
1
0
0
0
0
0
0
0
0
16
16
0
0
2
2
2
0
32
1
0
0
0
0
8
0
0
16
0
0
0
8
0
8
8
8
8
0
8
24
16
16
16
16
24
24
0
16
0
0
0
0
0
0
16
0
0
0
4
16
0
0
0
0
8
0
0
0
3
0
0
0
0
32
20
0
2
8
0
0
0
0
0
0
8
0
8
0
0
0
8
16
0
2
0
0
0
8
8
8
16
16
5
0
0
0
8
8
24
8
16
17
17
0
0
4
0
0
0
0
0
8
8
0
0
0
0
8
0
0
4
24
0
0
0
0
14
0
0
0
0
0
0
0
0
0
16
16
4
0
0
0
8
0
0
0
16
0
0
0
2
2
8
2
0
0
0
0
8
0
0
0
0
8
8
8
0
8
0
0
0
8
8
8
0
0
0
0
8
0
8
8
2
0
16
16
0
0
8
2
0
8
27
0
0
0
0
0
12
0
0
0
12
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
8
16
6
6
0
0
2
0
0
8
0
0
0
8
16
16
16
8
24
0
0
0
0
16
0
0
0
0
0
0
48
0
0
0
0
0
0
8
1
0
0
24
0
0
2
0
0
1
0
0
0
0
0
8
0
0
0
29
29
29
16
8
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
4
0
0
8
8
8
0
2
8
8
8
8
0
0
0
8
8
8
2
8
8
0
13
13
0
0
8
0
0
1
0
0
0
0
8
24
24
24
0
0
0
0
0
16
0
10
8
8
8
0
8
8
8
8
0
8
0
8
8
0
0
0
8
8
8
0
0
16
16
2
2
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
8
0
0
0
0
16
8
6
8
8
8
0
32
2
8
0
0
0
4
8
0
0
8
8
0
0
8
4
0
0
0
0
8
0
0
8
12
8
17
0
0
0
0
0
0
8
27
0
8
8
0
0
0
16
17
8
4
0
0
0
0
1
1
8
0
10
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
12
0
57
1
0
0
16
1
1
0
0
4
4
4
0
0
0
0
4
8
16
0
0
0
0
0
0
0
16
18
16
0
0
24
8
0
0
0
0
0
0
0
10
4
4
0
8
8
16
16
16
0
0
0
12
0
8
0
0
0
4
16
0
0
0
0
28
28
0
18
0
0
8
8
0
0
0
18
0
0
0
0
0
0
0
1
4
0
0
5
16
16
16
0
0
0
8
8
8
8
0
2
2
0
0
0
3
8
42
16
18
16
16
0
0
0
17
0
0
0
0
0
0
0
0
8
0
8
8
8
8
8
8
8
0
0
0
0
0
12
1
1
0
1
1
1
1
1
1
1
1
0
0
0
0
0
8
8
16
16
2
0
16
16
4
8
0
0
0
2
2
32
0
0
32
8
0
0
0
0
0
0
0
16
0
0
0
8
0
4
0
18
18
0
20
20
20
8
4
4
4
0
8
0
4
16
16
8
0
0
0
8
0
0
0
4
0
0
0
0
0
0
0
0
0
8
16
13
0
2
0
0
0
0
0
1
0
16
0
10
0
0
12
0
0
0
0
0
0
0
0
2
2
8
8
8
8
0
8
0
0
0
0
0
0
0
0
0
8
0
0
44
0
0
0
2
8
0
0
8
0
0
0
0
11
0
20
0
0
0
0
8
16
0
0
0
0
4
0
0
0
8
8
8
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
34
0
0
3
3
0
32
32
32
4
0
0
40
0
0
59
0
0
2
0
0
0
0
0
16
2
0
2
0
0
8
2
8
0
0
8
8
0
9
20
2
2
0
0
0
0
0
1
0
4
2
0
16
8
20
0
16
16
16
2
0
0
0
18
0
24
0
0
4
0
0
0
0
2
2
2
8
16
0
0
0
0
0
8
1
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
16
4
4
4
0
0
0
0
0
0
0
0
0
8
0
0
16
0
1
16
0
0
0
0
0
0
8
0
0
17
0
0
0
16
0
0
0
0
0
0
8
0
0
0
0
0
0
8
8
0
0
16
0
0
2
2
0
0
0
24
0
0
0
0
0
4
1
0
0
0
0
8
8
0
0
0
0
0
0
16
16
0
0
0
0
0
0
16
16
0
0
0
0
0
16
16
0
16
0
0
0
0
16
8
0
0
8
0
0
0
8
0
8
0
0
0
1
0
52
0
0
0
8
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
8
0
34
36
0
0
0
0
0
8
0
0
0
0
0
0
0
0
2
16
4
4
0
8
8
8
0
0
0
0
0
4
0
20
20
0
0
0
0
0
0
0
0
8
0
0
0
0
0
16
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
14
16
0
8
0
16
0
0
0
0
0
10
0
0
0
16
0
0
0
0
0
0
0
0
0
8
24
8
8
8
0
16
0
8
8
0
0
8
0
0
0
0
0
0
8
16
0
0
0
4
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
4
0
0
5
4
8
0
0
0
0
0
0
0
0
0
0
0
0
16
8
0
0
0
0
0
0
0
0
0
0
0
24
0
0
0
0
0
0
0
12
0
0
0
9
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
9
9
9
0
16
0
0
0
8
0
0
18
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
8
0
0
0
0
8
8
8
8
8
4
0
0
0
0
0
0
0
0
0
0
0
8
8
0
24
4
4
0
16
4
4
0
8
0
8
8
0
0
0
0
0
40
0
16
0
0
0
0
0
0
0
0
16
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
8
24
24
24
24
0
0
0
0
0
0
0
8
4
0
0
0
0
0
0
0
0
0
0
8
0
8
2
2
2
2
2
2
2
0
0
0
0
0
4
4
4
0
24
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
2
2
0
0
4
0
4
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
32
32
32
32
8
0
0
2
0
16
0
8
0
0
4
0
8
8
2
0
0
0
0
8
0
1
0
0
8
0
2
0
0
8
0
0
0
0
0
0
0
0
16
0
24
24
24
0
0
0
0
8
0
8
8
0
0
0
0
0
0
0
0
16
2
0
0
0
0
0
9
0
0
0
0
4
0
0
0
2
2
1
1
0
0
24
0
0
16
0
0
0
16
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
4
0
0
0
0
0
0
0
0
16
0
0
0
0
0
1
16
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
24
24
24
24
0
0
8
18
0
0
4
0
0
20
0
0
0
8
0
0
0
0
8
8
0
0
0
12
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
8
0
0
0
0
0
0
26
24
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
2
8
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
8
0
0
0
8
8
8
50
50
0
0
0
0
0
2
2
16
16
0
8
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
1
2
2
0
0
0
0
0
8
8
16
16
0
8
0
2
2
32
32
0
24
0
0
0
1
16
16
0
50
0
0
0
0
0
0
0
0
0
0
8
8
0
8
8
0
0
0
32
32
26
0
2
0
0
0
0
25
0
16
0
0
0
0
0
0
48
48
0
0
0
0
0
0
0
16
32
0
0
0
0
0
0
0
4
4
0
0
8
17
17
17
8
16
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
8
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
52
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
16
16
16
0
0
24
17
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
4
4
32
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
20
0
0
0
0
30
2
2
1
0
0
0
0
0
0
0
0
8
0
0
0
0
0
8
0
0
0
0
12
28
0
0
0
8
8
26
0
0
0
4
0
0
4
0
0
0
0
48
48
0
8
0
8
0
0
0
8
0
0
0
0
0
0
0
17
8
0
0
0
0
0
0
0
8
0
16
16
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
16
12
0
0
0
16
16
16
16
0
0
32
0
0
16
0
1
0
4
0
0
54
0
0
16
0
2
0
0
0
24
2
24
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
8
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
19
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
16
0
16
0
0
8
0
0
0
0
0
0
0
0
21
0
0
0
0
0
0
0
8
0
0
0
0
16
16
0
0
0
0
2
0
0
8
0
0
0
24
0
0
24
16
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
16
0
0
2
8
8
8
8
4
0
0
8
8
0
0
2
0
0
0
0
8
0
0
0
8
8
13
0
0
0
0
0
8
0
0
0
0
16
0
0
28
28
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
12
0
0
0
0
24
0
0
0
0
0
0
0
1
0
0
0
0
9
0
0
24
8
24
0
0
23
23
0
24
0
0
0
0
24
17
0
0
0
0
8
0
0
16
1
8
0
0
8
0
0
0
2
0
0
24
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
24
16
0
0
10
0
0
2
16
16
16
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
4
4
0
0
0
0
0
0
0
0
0
16
0
0
16
0
0
4
0
0
0
0
0
0
8
0
0
0
0
0
1
0
0
0
0
0
0
8
0
24
0
20
20
0
0
0
0
0
0
4
4
0
0
0
24
8
0
0
0
0
8
0
0
24
0
4
0
0
8
0
0
8
0
8
0
0
0
0
16
16
4
0
0
0
0
0
0
16
0
0
0
4
0
0
0
8
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
4
16
16
0
0
0
0
0
0
18
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
8
0
0
2
8
0
0
0
16
0
0
0
50
4
4
0
0
0
0
0
0
0
8
24
16
0
0
0
0
5
0
0
8
8
0
0
0
0
0
16
0
1
24
0
0
0
0
20
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
3
0
0
0
0
0
0
0
0
0
0
0
0
0
24
0
0
0
16
0
0
8
8
8
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
16
0
0
0
16
0
1
0
0
16
16
16
0
0
0
0
0
0
0
1
16
16
0
0
0
1
0
0
0
0
0
8
0
0
0
0
0
8
8
8
8
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
40
0
8
0
0
8
0
0
0
16
8
0
0
0
0
0
0
0
4
4
4
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
1
1
0
0
0
0
0
0
0
0
24
24
0
16
8
16
1
0
0
0
0
0
8
0
20
16
5
0
0
0
0
0
0
8
16
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
8
8
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
24
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
17
16
0
8
0
8
8
8
0
8
8
8
9
0
0
8
0
0
0
0
0
0
0
0
16
8
16
0
0
0
0
0
0
0
16
16
8
0
0
16
8
8
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
8
8
3
8
8
8
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
8
0
0
0
8
8
8
8
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
16
16
0
0
16
16
0
0
8
8
0
0
0
0
0
0
0
16
0
0
0
2
0
0
0
32
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
4
1
0
0
0
0
0
0
0
0
2
8
8
8
8
0
0
0
0
0
0
0
44
16
0
8
0
0
0
0
4
4
0
0
4
0
0
0
0
0
0
0
0
24
0
0
8
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
8
0
8
8
0
0
0
0
0
16
16
16
16
0
0
0
32
4
16
0
0
0
0
0
0
24
0
0
0
1
8
0
0
0
0
0
0
0
0
4
1
0
0
8
0
0
0
0
2
8
8
8
0
0
0
0
0
0
0
0
0
0
21
0
0
0
0
0
0
0
0
0
0
0
0
0
0
32
32
0
0
0
0
16
1
0
0
0
0
0
8
8
4
0
0
4
0
0
8
1
0
8
0
0
0
0
0
1
8
0
0
8
8
0
4
0
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
9
0
16
0
0
0
0
0
0
9
0
0
0
0
4
4
4
4
4
4
4
4
0
0
0
0
0
16
0
0
0
8
16
0
0
0
0
0
2
16
0
20
0
0
0
8
0
0
0
0
0
0
32
32
8
1
0
0
8
0
0
0
21
21
12
4
0
8
8
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
16
0
0
0
0
16
8
8
0
4
4
16
0
4
4
4
0
16
0
0
8
8
0
0
0
8
16
0
0
8
0
1
1
0
0
0
0
0
0
0
0
0
8
8
4
0
8
0
0
0
0
4
24
24
0
0
0
0
0
16
16
16
16
0
0
0
0
0
0
0
0
0
0
0
1
20
20
20
9
9
0
0
0
8
0
16
0
0
8
8
0
0
0
0
0
0
2
1
16
16
16
0
2
2
0
8
8
0
0
8
8
8
8
8
8
0
32
0
0
0
0
1
0
16
0
0
0
0
0
1
1
0
0
8
4
0
0
0
0
1
1
1
0
32
4
8
8
13
8
0
0
0
0
0
0
0
0
17
8
0
8
0
0
8
4
1
0
0
16
0
1
0
2
8
0
0
0
0
1
1
0
0
0
0
0
12
0
0
18
8
0
0
16
0
0
0
16
0
0
0
0
8
8
8
8
8
0
0
0
0
8
8
8
0
0
1
24
0
0
0
4
0
0
0
0
8
8
8
0
0
0
16
0
0
0
0
0
16
0
0
1
2
2
2
2
2
2
8
8
0
0
16
0
0
0
0
40
40
40
0
29
4
8
0
0
0
24
0
0
0
0
0
8
8
8
0
0
0
0
8
0
0
0
0
0
0
0
0
0
24
32
0
0
0
0
0
0
0
0
8
4
4
4
0
0
0
0
0
0
0
0
0
4
4
8
16
8
8
8
0
0
0
0
0
0
0
0
0
16
16
16
0
16
0
0
0
0
1
1
0
0
0
0
0
0
8
8
8
16
0
0
0
0
8
0
0
0
0
0
0
0
8
0
0
0
8
8
0
24
0
24
24
0
8
32
16
0
0
24
24
0
0
0
0
0
0
0
8
0
8
8
8
0
1
16
2
2
0
8
0
16
16
0
0
0
0
0
0
0
16
16
0
16
16
0
16
16
8
8
0
4
0
0
0
0
1
1
0
0
16
1
8
0
0
0
0
0
0
0
8
1
0
0
0
16
16
8
16
0
8
16
0
4
16
18
0
8
8
8
8
0
8
0
1
24
4
18
0
0
0
0
0
16
1
0
8
8
0
0
22
22
8
0
0
0
0
24
24
0
0
0
1
17
0
0
0
8
0
0
0
0
0
0
10
0
12
0
0
0
0
16
0
8
0
0
8
16
17
0
0
0
0
0
0
0
0
0
1
28
0
4
0
10
10
8
8
0
0
0
0
0
2
0
0
0
0
0
0
0
0
8
0
0
0
0
0
48
8
4
0
2
12
0
0
0
0
0
0
0
0
0
4
16
16
0
0
0
0
0
0
0
16
0
0
32
0
0
4
0
0
0
8
32
0
0
0
25
0
16
0
0
0
16
0
0
0
10
0
9
9
0
0
0
0
0
0
0
0
0
0
0
4
4
4
0
0
0
0
0
0
0
0
0
57
8
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
24
0
0
0
8
16
0
0
0
0
0
16
16
16
0
0
0
0
8
0
0
0
0
12
0
0
0
3
0
0
0
0
0
4
4
0
0
0
0
0
0
0
2
0
16
8
2
0
12
0
0
4
0
0
0
0
0
8
8
16
0
8
8
0
0
0
0
16
0
0
4
4
8
8
0
0
16
16
0
0
0
0
18
18
8
2
2
0
0
0
0
0
29
0
0
0
0
0
0
0
16
0
0
0
1
0
0
0
0
0
8
0
0
0
1
8
16
1
1
1
1
0
16
16
0
0
0
0
0
9
48
8
17
8
0
0
0
0
4
0
0
0
0
8
0
8
16
8
0
16
16
2
0
0
0
0
0
0
0
8
8
0
0
4
4
8
0
6
8
2
0
2
40
4
4
4
0
0
0
0
0
0
0
17
6
0
0
8
0
0
0
1
8
0
0
0
0
0
1
0
0
0
0
10
10
10
10
1
1
1
0
8
0
8
0
0
0
16
16
8
0
0
0
0
0
0
0
16
16
0
0
0
0
16
0
8
0
25
16
4
1
0
8
0
0
0
0
0
0
17
0
12
0
0
0
0
16
0
0
8
16
16
32
12
0
8
0
0
0
16
8
0
0
16
2
0
0
0
0
8
0
0
28
4
4
0
0
8
0
0
0
8
16
0
0
4
16
0
0
2
1
0
0
0
8
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
20
8
0
4
0
25
25
25
0
2
0
4
4
0
0
0
8
0
0
0
0
0
0
0
0
0
0
16
0
8
4
17
16
2
2
0
0
8
0
0
0
18
18
18
8
0
0
0
0
16
8
0
0
0
0
2
0
0
0
24
0
24
24
0
0
16
0
0
0
0
0
0
0
0
0
0
16
16
0
16
0
0
0
8
8
0
8
0
8
0
8
4
0
4
0
16
1
8
0
0
0
8
0
20
0
0
0
0
0
8
0
0
0
0
0
0
0
10
40
0
0
0
8
0
16
16
8
0
0
0
3
0
0
24
1
1
0
0
0
0
16
2
8
8
0
5
5
9
0
0
1
0
0
0
0
0
0
12
0
0
0
0
0
16
24
24
0
0
0
0
0
8
0
0
8
8
0
5
5
0
8
8
8
8
0
0
2
0
0
0
0
0
17
0
8
8
0
16
16
0
0
0
0
8
0
16
0
16
16
0
0
2
0
1
21
0
0
16
0
0
16
16
0
0
0
0
17
17
17
2
24
24
12
0
0
0
0
8
8
8
8
0
32
16
16
8
16
32
32
0
4
0
0
0
8
4
0
0
8
0
0
0
16
0
0
0
0
8
4
0
0
0
16
1
32
0
0
16
0
0
0
8
0
0
0
0
8
0
0
0
16
4
8
8
0
0
16
0
6
16
16
24
0
0
0
0
0
0
0
0
16
16
8
8
8
24
4
16
8
0
8
8
8
0
0
8
0
0
0
0
0
32
8
0
16
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
8
8
1
8
16
16
0
0
0
0
0
8
8
0
0
8
0
0
20
0
0
0
16
0
0
0
0
0
8
4
16
16
16
0
0
0
0
0
0
0
0
8
0
0
0
0
0
8
2
2
2
2
2
4
8
0
0
0
0
0
0
0
10
0
0
16
50
50
0
0
0
1
0
0
0
0
0
0
0
8
8
8
0
0
2
0
0
0
0
0
0
1
0
0
0
0
0
0
0
8
8
0
0
8
8
24
0
8
16
0
0
0
0
0
0
0
0
0
0
0
0
20
8
0
8
0
0
0
8
0
0
8
0
0
0
0
16
0
0
0
0
0
0
0
0
8
0
0
0
0
0
8
8
4
4
16
0
0
0
20
20
0
0
0
2
0
0
16
16
8
1
8
4
0
0
0
0
0
0
0
0
0
0
0
2
2
22
2
0
0
4
0
1
16
0
1
0
0
0
0
8
2
1
0
0
0
0
0
0
0
0
2
1
0
2
2
2
0
0
0
0
4
16
0
25
0
0
0
0
0
0
0
0
0
0
4
4
8
0
16
0
0
0
2
0
8
8
8
8
8
16
0
16
0
8
0
0
8
0
0
8
0
0
0
0
0
2
12
0
0
0
0
4
0
0
0
0
0
0
16
0
12
16
24
24
0
8
8
8
0
0
24
24
24
16
8
0
0
0
0
0
8
0
0
0
0
0
2
2
2
2
2
0
0
8
0
0
8
8
8
0
0
0
0
1
4
0
0
8
0
0
2
2
0
0
0
0
0
0
0
40
16
16
16
8
0
0
0
0
0
0
12
24
4
0
0
0
0
2
0
16
16
0
0
0
8
0
0
16
0
0
0
16
0
2
4
12
12
0
0
24
0
0
0
0
0
34
34
34
0
0
0
16
8
0
0
0
16
0
0
16
0
0
8
16
4
60
8
1
0
1
4
0
4
16
0
0
0
4
8
32
0
8
0
0
8
8
0
4
32
8
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
8
0
4
0
16
4
8
0
0
0
20
0
0
0
0
0
0
8
4
0
0
0
4
8
0
0
0
8
9
0
16
60
0
0
8
0
16
16
8
0
0
2
8
4
4
0
2
0
0
17
17
0
24
24
8
8
0
0
0
1
1
0
8
16
0
0
0
8
8
0
0
0
0
0
16
0
0
16
16
24
0
8
8
0
0
0
0
0
16
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
1
4
4
4
16
16
8
0
0
0
0
0
52
32
0
8
0
8
0
2
2
16
4
8
4
16
16
16
0
0
0
0
16
0
0
0
2
0
0
0
0
0
0
34
0
16
8
8
8
8
8
0
0
2
0
0
16
16
16
0
0
16
0
0
0
8
0
0
0
0
0
0
8
8
40
0
7
8
8
8
4
0
0
0
0
8
16
0
24
0
8
0
0
0
0
0
0
0
0
0
0
0
8
16
8
8
0
24
16
16
0
0
16
8
0
9
0
16
16
16
16
0
8
8
10
24
24
24
24
0
1
0
8
8
0
0
0
4
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
1
8
8
8
8
8
8
8
0
0
0
0
0
4
16
16
16
0
0
0
0
0
16
0
0
0
0
0
48
0
0
0
0
0
0
0
0
8
16
1
1
0
0
0
16
16
6
8
0
8
8
8
0
0
0
0
0
8
0
0
8
0
6
20
0
4
8
2
2
0
24
24
0
16
16
16
16
4
0
0
0
40
0
8
0
16
0
0
2
2
0
8
0
0
16
4
8
2
18
0
1
2
8
0
0
1
0
8
14
14
0
0
0
16
8
0
8
8
8
12
8
8
8
8
8
0
0
0
16
16
8
4
8
8
1
16
0
0
0
4
8
0
8
0
24
24
24
24
0
8
8
16
8
0
0
0
0
0
0
0
8
16
16
2
12
0
0
0
0
0
0
0
48
16
4
16
0
25
4
4
0
0
0
0
0
0
0
0
0
0
8
0
0
1
0
0
0
24
0
0
0
16
0
1
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
4
0
0
0
0
0
0
0
1
4
0
0
8
0
0
0
0
0
8
8
8
8
8
0
0
8
4
4
0
0
8
1
8
0
0
0
0
8
8
8
8
0
8
0
8
0
0
8
16
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
16
20
20
24
24
8
0
0
0
0
0
0
0
0
8
8
8
8
1
0
8
0
0
0
0
0
4
4
0
0
0
0
0
0
0
0
0
30
30
0
0
0
16
16
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
24
0
0
16
16
0
0
0
0
24
24
8
16
0
0
0
0
0
0
0
0
0
4
0
8
0
0
0
0
16
0
8
0
16
0
1
8
0
0
0
4
0
0
0
8
8
0
0
0
0
0
0
0
8
8
8
5
16
8
8
16
0
0
16
8
8
0
0
0
34
34
34
34
34
8
0
0
0
16
8
12
12
1
0
32
32
32
0
16
0
0
0
0
24
0
0
16
36
36
36
36
16
16
16
32
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
16
0
4
4
8
0
0
4
8
0
0
0
0
16
0
0
0
40
0
0
0
0
0
2
2
0
0
0
8
16
0
0
0
32
32
8
8
16
4
4
4
2
8
4
1
0
28
8
4
4
16
16
8
17
0
0
8
0
61
16
16
16
16
16
0
1
0
1
22
2
8
0
4
0
0
0
0
0
0
0
8
24
16
16
0
0
4
4
4
0
4
4
0
0
0
0
0
0
12
0
1
0
0
0
24
24
16
0
0
0
16
16
16
0
32
0
4
4
0
8
1
16
0
0
0
2
0
8
8
4
8
12
8
1
16
8
8
0
8
0
0
0
0
16
0
0
0
0
8
8
56
56
0
8
34
18
18
18
18
32
9
0
0
4
4
0
16
0
8
8
16
0
0
8
0
0
0
0
8
0
16
16
0
0
0
8
8
0
0
16
4
0
16
0
16
27
0
16
16
8
8
0
0
8
0
16
0
0
0
8
0
0
0
0
0
0
0
0
0
29
0
16
1
0
24
4
4
8
8
8
28
4
8
8
0
0
16
16
2
0
0
0
1
0
0
8
0
0
0
4
8
0
0
1
2
1
0
8
0
32
0
16
16
16
16
0
0
8
16
16
8
16
0
0
6
2
2
0
8
0
1
1
4
16
0
16
16
0
16
12
12
0
0
16
0
0
8
0
33
0
0
0
0
0
0
12
24
8
1
0
0
1
8
0
16
16
8
0
8
8
0
0
1
1
0
8
0
32
0
0
8
8
10
0
0
4
4
16
0
16
2
0
0
0
8
8
0
0
0
8
24
4
24
0
0
10
8
44
0
16
0
16
4
0
0
2
16
16
0
0
0
8
8
0
27
27
0
0
32
0
8
0
0
0
0
0
0
16
0
8
0
4
0
0
0
0
0
1
1
0
0
0
0
0
16
0
8
0
8
0
0
16
8
4
4
0
0
8
0
0
8
8
0
2
1
0
0
0
16
0
12
0
0
2
16
21
21
21
0
17
0
0
0
0
4
8
0
0
0
2
6
0
8
0
0
0
0
16
8
8
0
0
0
0
0
0
0
8
6
0
1
0
0
0
0
0
16
24
0
0
24
8
21
4
0
0
8
0
0
0
0
0
32
32
8
0
16
0
0
48
0
0
0
0
8
8
8
0
0
0
8
8
8
8
16
0
8
0
0
16
12
12
8
8
8
8
8
8
0
0
0
0
8
0
0
8
8
8
8
32
0
0
0
32
1
0
8
8
8
8
8
8
8
8
0
8
0
0
0
0
16
0
0
0
0
4
4
4
8
0
0
0
21
0
0
0
4
1
1
1
0
1
4
1
0
0
8
8
0
8
0
8
20
16
8
0
8
16
16
8
32
32
4
4
4
8
8
0
0
8
16
24
8
0
0
0
0
1
12
12
12
12
12
12
12
12
12
12
0
0
8
16
16
16
16
0
0
0
8
0
8
8
0
18
8
8
0
16
0
8
8
0
0
0
4
8
8
4
4
16
18
0
0
24
0
24
0
0
0
0
0
6
0
0
16
16
12
0
0
0
16
0
0
0
0
0
0
0
0
8
0
0
8
28
16
16
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
3
16
0
0
1
8
0
8
0
8
0
26
0
16
16
0
0
0
4
0
0
54
54
4
0
0
1
0
11
11
0
4
0
0
0
0
0
0
0
2
8
4
0
0
0
0
8
8
0
0
16
8
1
16
0
0
8
8
0
0
8
8
4
8
8
6
6
10
17
0
0
0
10
16
16
8
0
16
16
0
0
1
0
2
2
8
8
0
0
4
0
24
24
8
0
0
0
0
0
1
8
8
8
0
18
0
16
16
0
8
0
0
9
0
0
0
8
8
8
0
0
0
0
0
0
0
4
0
4
8
0
0
0
0
0
0
16
0
0
0
0
5
0
0
8
8
0
4
40
24
6
0
0
0
2
0
0
4
4
8
4
0
0
0
0
0
0
0
0
0
0
8
16
0
3
3
20
0
7
0
0
4
0
0
8
8
8
8
0
8
8
8
8
0
0
0
2
0
0
0
8
0
8
0
0
8
8
0
0
0
16
16
0
8
0
0
0
0
0
8
0
0
1
1
9
0
0
0
0
16
0
0
0
32
32
0
0
0
16
0
8
16
0
0
0
4
4
8
8
16
0
8
8
0
0
0
0
8
8
2
8
8
0
8
0
0
0
0
0
0
0
16
0
0
0
0
0
0
12
4
4
0
8
0
0
0
0
8
8
16
0
0
0
0
0
1
0
0
0
0
0
0
8
16
0
0
0
8
24
0
0
8
0
16
2
0
8
8
8
0
8
0
0
0
0
0
32
0
0
0
0
8
0
0
0
0
8
0
0
21
0
0
16
0
8
0
0
16
0
0
8
0
8
16
4
0
2
0
0
0
8
0
16
0
4
4
4
0
0
0
0
8
8
0
8
17
17
0
0
4
0
0
0
0
0
8
0
0
0
4
4
0
0
0
0
0
16
16
16
16
0
0
0
0
0
0
16
28
0
4
4
0
8
0
4
0
3
3
8
4
0
16
2
0
0
2
8
5
0
4
20
8
8
8
0
0
0
0
8
8
16
8
0
0
0
0
2
8
0
0
8
8
8
1
0
0
0
0
0
0
0
0
0
0
0
0
0
24
0
16
0
0
16
16
0
8
0
16
16
0
0
8
0
0
36
36
4
4
0
0
0
0
18
18
8
8
4
4
16
16
24
16
0
8
0
16
0
0
24
0
16
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
16
16
16
16
0
24
24
43
8
0
8
0
12
0
8
6
0
12
12
12
0
8
0
0
4
0
0
0
0
0
0
0
4
0
8
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
8
0
0
0
0
0
0
0
16
8
18
18
8
8
0
0
0
0
0
2
2
2
2
2
0
0
0
8
0
0
20
20
0
0
16
8
20
9
2
0
8
0
43
0
4
4
4
0
0
0
0
0
8
8
0
28
0
1
0
0
16
0
8
0
0
0
0
0
0
0
0
0
17
4
0
0
0
0
0
8
0
0
16
0
0
1
0
0
0
0
0
0
0
17
0
16
0
0
16
8
0
0
0
0
0
16
0
0
0
16
0
0
0
2
0
0
0
0
0
0
8
8
0
0
20
24
9
0
8
0
0
8
24
0
0
8
8
8
0
2
0
16
16
0
4
0
0
0
0
0
0
0
0
8
0
8
63
8
0
0
0
0
0
0
20
0
0
0
8
1
0
8
16
0
0
0
0
16
8
0
0
1
1
0
0
0
0
40
40
0
0
9
9
9
2
2
0
0
0
16
0
0
6
0
0
0
4
0
0
0
24
17
3
3
4
0
8
8
0
1
0
16
8
4
0
0
26
16
16
16
16
16
0
0
16
1
1
16
16
4
0
0
0
0
16
0
0
2
0
0
0
0
16
8
16
0
0
0
2
8
8
5
0
0
16
16
16
0
0
0
0
0
0
24
0
0
25
0
24
24
0
0
0
4
0
0
8
8
0
0
0
0
0
0
16
0
0
2
0
8
4
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
8
8
8
8
35
0
8
0
0
18
18
0
0
4
0
8
8
0
16
0
0
0
10
8
0
0
0
0
8
8
0
0
0
1
1
0
25
0
0
0
4
16
0
0
0
0
0
0
8
4
0
8
0
0
0
0
0
0
0
0
0
0
0
0
4
0
16
16
8
0
0
0
0
0
0
8
0
24
8
0
16
0
8
0
0
9
9
0
8
16
16
0
0
4
32
0
0
0
1
1
1
0
0
4
0
6
6
0
0
0
0
0
0
0
0
16
16
8
0
0
16
0
2
0
0
0
0
32
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
8
8
0
16
0
8
4
0
0
0
0
0
0
20
8
8
0
0
0
0
0
1
8
0
0
0
0
0
0
0
0
0
32
0
0
8
0
0
0
0
8
16
2
2
2
8
32
0
0
4
4
4
24
0
0
0
0
10
0
8
0
19
19
0
0
0
16
16
8
57
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
8
2
8
0
0
24
0
8
0
0
1
0
8
0
0
0
0
0
0
0
0
8
8
0
0
8
0
0
0
0
0
0
32
16
0
8
0
0
0
0
18
0
0
24
0
8
8
8
8
8
8
0
0
0
2
4
4
4
16
16
0
0
0
0
0
1
1
8
8
0
0
0
0
40
0
0
0
8
16
0
0
0
0
0
0
1
1
8
0
8
0
0
8
0
0
24
0
8
12
12
0
0
0
0
0
17
0
8
0
0
0
0
16
16
0
0
2
2
2
18
0
0
16
0
0
0
0
0
0
0
0
8
0
0
0
32
32
0
0
0
0
5
5
0
8
8
0
0
0
17
4
0
0
16
8
0
4
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
8
0
3
2
8
0
8
2
0
8
8
0
0
0
0
0
24
5
4
1
0
0
0
1
0
0
24
0
0
0
0
0
0
0
0
0
8
0
0
16
16
0
0
45
0
0
16
0
0
0
0
0
0
0
0
0
16
0
0
8
8
0
8
0
0
0
0
0
0
0
0
0
4
8
0
4
8
0
0
0
8
0
0
8
16
8
0
0
16
0
0
0
0
0
8
8
18
8
8
8
2
2
0
0
16
32
0
0
0
0
8
8
8
8
0
0
0
4
26
4
16
0
4
8
8
0
0
0
0
2
0
0
4
0
16
16
0
8
0
10
0
12
8
0
0
34
4
24
0
8
8
0
8
8
0
0
0
0
0
0
16
16
8
8
5
0
0
0
0
0
9
0
0
8
8
0
0
0
61
61
61
0
0
16
0
0
0
0
0
0
33
33
0
0
0
0
0
4
0
0
0
16
16
16
8
0
48
0
0
16
0
0
8
0
0
0
24
0
0
0
0
0
0
0
8
8
0
0
0
0
0
24
18
8
0
0
0
0
0
0
0
0
14
14
0
0
0
0
0
0
0
16
16
24
0
8
16
0
0
0
0
0
8
0
12
0
0
16
8
8
0
16
0
0
16
0
0
0
8
0
8
8
0
3
0
6
0
0
0
0
0
5
0
0
4
0
0
1
2
0
0
0
0
1
0
0
0
0
4
0
0
8
0
0
0
0
24
4
42
0
0
0
0
0
0
0
0
8
3
19
0
0
32
0
0
0
16
8
0
0
0
0
32
0
0
8
8
8
0
0
4
16
0
8
8
16
0
24
16
4
4
4
16
0
20
2
2
2
8
8
8
0
0
0
0
8
2
8
0
0
0
9
0
0
0
4
4
4
4
24
16
3
3
4
4
0
0
2
16
0
0
0
0
0
0
4
0
0
0
16
24
8
8
8
2
4
32
32
32
24
24
5
0
8
4
0
0
0
0
0
24
0
0
0
8
0
10
10
10
0
0
0
16
16
8
0
8
8
8
8
0
9
33
12
16
16
8
0
8
2
2
32
32
32
32
0
0
0
0
2
2
1
0
0
0
0
0
0
0
0
0
0
8
8
32
32
8
8
32
2
0
0
0
0
0
8
8
33
8
0
0
0
0
0
8
8
0
0
0
0
0
0
0
1
0
8
2
1
1
0
0
0
2
2
8
0
0
0
0
0
0
0
12
0
8
16
0
16
0
0
2
8
0
9
9
0
0
0
8
0
4
0
0
0
10
2
0
1
1
0
0
0
0
0
0
8
0
0
0
8
0
0
2
0
0
0
0
0
16
24
0
0
8
8
8
16
0
0
0
20
20
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
36
8
8
0
8
8
8
0
16
0
16
16
0
24
0
0
0
0
16
0
0
0
0
28
0
0
0
0
0
0
20
0
10
0
0
6
6
0
32
32
0
4
8
0
0
0
0
8
0
2
0
4
4
0
4
50
0
0
0
0
8
8
8
0
8
0
0
0
16
0
0
0
0
16
16
8
8
4
4
0
0
0
0
0
0
16
16
0
0
0
1
16
8
0
0
0
2
60
60
0
0
0
20
8
0
8
0
16
18
0
0
0
9
0
16
0
0
16
0
0
0
0
16
16
16
0
1
1
4
0
0
0
0
0
0
0
8
0
0
0
0
16
16
16
0
1
8
0
0
0
0
8
0
0
8
8
0
0
32
1
8
8
8
9
4
8
0
0
2
0
8
1
26
16
0
2
2
16
16
32
0
0
16
8
0
0
8
0
2
2
2
2
2
2
2
0
0
0
8
0
0
0
0
0
0
0
0
0
8
0
16
0
1
1
0
4
8
0
16
0
0
16
16
0
0
0
0
16
8
0
16
0
8
0
0
1
26
0
4
0
0
8
0
0
16
16
0
0
16
32
0
0
8
0
0
0
0
4
4
4
4
4
4
8
40
40
0
24
0
0
0
8
0
1
2
0
0
0
16
0
0
0
8
0
0
0
4
4
32
32
32
16
1
0
0
0
8
8
0
0
0
4
8
8
24
0
2
0
0
0
16
0
48
0
8
0
1
0
0
0
1
0
0
2
0
2
4
16
4
1
1
0
2
0
8
8
0
0
0
4
0
8
16
8
8
32
0
0
24
8
0
0
8
8
8
0
0
6
0
0
0
0
0
16
32
8
0
8
8
8
0
0
6
16
0
0
0
0
24
2
16
8
0
2
2
0
0
0
0
31
8
0
8
4
16
8
0
0
0
9
2
0
0
4
4
4
8
8
8
9
0
16
8
16
8
8
0
0
0
16
8
8
8
8
0
0
0
0
0
4
4
4
4
0
0
0
8
8
0
0
0
0
4
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
4
0
0
0
16
8
12
0
0
0
17
0
0
0
1
0
1
0
0
0
8
16
0
1
24
16
0
16
16
16
40
40
16
0
0
0
0
0
0
0
0
0
0
16
16
16
16
16
0
2
8
0
0
20
0
0
0
0
2
2
2
5
0
28
0
0
2
8
0
0
0
0
0
0
16
8
0
0
0
0
0
0
0
0
32
0
0
0
4
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
28
28
28
1
0
0
16
7
0
0
0
8
8
8
4
4
4
0
0
0
0
4
0
0
0
0
16
0
4
8
3
3
3
3
0
0
0
0
0
0
0
0
63
0
0
0
8
8
0
1
0
0
0
0
0
8
8
1
0
4
0
0
0
0
0
0
8
8
8
0
0
0
0
0
2
32
8
8
8
0
0
0
0
20
0
0
0
0
0
6
4
4
8
0
8
1
2
2
0
16
0
0
1
1
1
1
1
1
0
0
0
0
0
0
0
4
4
4
4
0
4
4
32
0
0
9
32
2
2
2
0
0
0
1
8
4
8
0
0
0
0
0
16
16
0
20
8
8
0
1
0
3
3
0
0
34
34
1
8
8
0
0
0
8
0
0
16
0
0
0
3
3
3
16
17
0
0
16
16
16
24
0
0
0
0
0
0
8
0
0
0
0
0
0
8
16
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
16
8
8
8
8
8
8
8
8
0
8
8
2
8
0
0
0
0
8
16
0
0
0
0
0
1
1
2
4
16
0
0
8
0
8
0
0
0
0
0
0
4
4
4
0
0
8
0
0
0
24
40
0
0
0
0
0
25
25
25
1
8
4
0
0
0
0
0
8
8
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
8
0
8
60
1
0
0
0
24
32
16
16
16
0
0
0
0
0
0
8
8
20
16
0
0
0
0
0
1
24
16
0
1
1
16
4
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
8
57
4
16
2
0
0
0
16
16
4
16
16
4
16
8
8
0
0
0
0
0
0
0
0
8
1
0
0
16
16
0
16
0
0
8
8
8
0
0
0
5
5
0
8
20
0
0
0
0
0
0
0
8
0
0
8
0
0
0
0
5
8
0
8
1
0
0
8
4
8
24
16
16
16
0
0
0
0
0
2
2
0
0
8
8
8
8
2
8
32
0
0
16
8
0
20
20
16
0
16
0
24
0
0
33
4
16
16
0
0
0
4
0
0
0
8
8
0
0
0
0
2
0
8
0
0
8
8
8
0
0
0
8
16
0
2
2
8
8
0
0
16
16
8
8
0
0
0
0
8
8
8
8
0
25
8
0
8
0
4
1
18
0
0
0
35
35
8
6
4
4
0
16
0
17
17
3
0
0
0
0
0
16
0
1
24
24
24
0
0
34
34
0
8
8
0
0
0
0
2
0
16
17
0
0
8
8
8
0
8
0
0
0
39
0
4
0
1
1
8
2
0
8
0
16
4
16
16
16
8
0
0
0
24
24
16
0
0
4
0
0
16
1
1
4
0
16
8
0
0
0
0
11
16
2
8
1
0
16
16
8
8
0
0
0
0
0
0
0
0
0
1
1
1
8
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
2
2
0
0
0
0
6
8
8
8
16
0
0
14
24
24
0
2
16
4
4
0
0
0
8
8
4
4
4
4
8
0
0
8
0
1
8
8
8
8
0
0
0
0
0
6
6
0
4
4
16
0
0
0
0
8
0
0
0
8
0
0
0
0
17
0
0
0
8
0
16
16
0
0
0
16
24
4
4
4
0
0
8
0
0
1
0
0
4
8
10
0
0
1
0
0
0
0
0
0
0
0
0
0
4
8
8
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
4
0
8
8
16
0
32
1
0
32
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
8
0
40
8
16
16
0
0
34
10
10
10
0
8
0
8
0
8
0
0
16
0
0
8
24
24
24
24
0
0
0
0
0
40
24
0
0
0
4
4
0
0
0
0
0
0
8
4
1
0
0
0
0
0
0
56
8
0
0
0
0
0
0
0
8
8
0
2
4
0
32
0
0
0
16
0
0
16
0
0
16
16
16
0
0
0
0
16
8
24
0
8
4
8
8
16
0
8
0
0
0
12
9
9
0
16
8
0
0
0
0
0
0
4
0
32
16
16
0
8
8
0
8
0
0
2
0
16
0
0
0
0
0
0
0
4
16
0
0
0
8
0
8
8
2
2
0
0
16
16
10
10
0
0
8
0
0
4
4
1
1
0
0
0
0
0
0
0
1
8
0
0
4
0
0
16
16
8
8
0
0
0
16
1
0
16
16
16
0
0
8
8
0
0
8
8
8
8
2
8
0
32
0
0
0
0
0
0
8
0
0
16
12
12
16
8
0
0
0
0
0
1
8
2
2
2
2
8
8
8
0
0
0
16
16
0
21
16
16
0
16
0
0
0
0
0
0
0
2
2
0
16
0
8
0
0
0
0
58
0
8
0
0
0
0
0
0
0
24
24
24
24
24
0
0
16
4
2
0
0
8
0
0
0
2
16
16
0
4
0
4
0
0
0
0
0
24
0
0
0
0
20
0
16
16
8
8
0
0
16
0
0
0
4
0
16
0
1
1
1
0
16
1
1
8
9
8
0
1
0
8
8
8
0
0
0
2
8
0
0
0
0
0
1
16
0
0
9
25
25
0
0
17
1
1
1
0
0
0
0
0
8
8
8
8
4
24
1
0
2
0
4
0
0
1
0
0
48
48
48
48
48
48
48
48
48
48
48
48
8
8
2
2
0
8
8
0
0
16
0
0
0
16
8
8
4
8
0
2
2
2
0
0
0
16
16
0
0
8
1
8
8
8
8
0
0
4
8
16
16
16
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
24
36
36
0
1
0
8
4
16
0
0
0
16
0
16
0
0
0
8
8
0
0
16
0
0
0
4
4
16
16
16
24
4
8
8
16
8
8
17
17
0
0
8
8
8
0
4
4
0
8
8
24
0
0
0
0
18
0
1
1
0
6
6
0
0
0
0
1
0
0
0
16
16
0
8
8
16
8
12
0
8
0
0
8
0
2
2
2
2
0
10
0
0
0
16
8
0
4
4
4
4
0
0
0
0
0
0
0
0
16
16
0
8
0
0
0
8
1
16
18
0
0
28
28
28
17
0
0
0
0
0
2
8
8
8
8
0
0
54
0
24
24
24
0
0
0
0
0
16
0
8
0
0
0
0
0
8
0
2
0
0
0
0
0
2
2
0
0
8
16
16
0
0
0
0
0
0
32
32
1
1
1
8
0
0
4
4
1
0
0
0
0
8
0
52
0
8
8
8
8
8
0
0
0
0
8
8
16
0
0
0
8
8
8
12
0
0
2
0
32
32
32
32
32
0
16
8
4
0
20
8
8
8
0
8
0
32
16
16
0
0
0
8
17
17
41
40
40
40
2
0
0
0
0
8
8
8
0
16
1
0
1
1
1
8
8
0
0
0
3
27
0
0
0
0
0
17
0
16
1
0
2
0
16
0
4
4
4
0
0
0
0
4
16
16
16
16
0
0
0
8
0
0
8
16
16
0
0
0
16
16
16
16
20
8
8
0
0
0
8
0
0
0
0
8
9
0
0
0
0
0
0
32
0
0
0
0
5
0
1
1
1
1
1
16
0
0
0
0
0
8
0
0
0
0
0
0
0
8
8
8
0
0
8
8
16
16
16
16
16
0
0
0
0
16
0
0
16
0
8
0
4
16
0
0
0
0
0
18
18
18
18
0
16
8
8
53
0
0
4
8
0
0
0
18
18
18
0
0
28
0
0
0
24
0
0
0
8
16
0
0
0
8
1
8
8
0
0
0
0
16
0
0
0
53
2
32
16
0
0
0
8
8
4
0
0
0
0
1
8
2
32
4
4
4
0
0
0
0
16
0
0
0
8
8
0
0
8
16
16
2
2
0
16
0
0
0
0
0
0
4
8
0
0
8
0
8
8
8
0
0
8
8
0
0
0
0
0
0
0
0
0
8
17
0
0
0
0
0
0
16
16
0
16
0
0
0
0
8
8
8
8
0
0
20
0
0
0
0
0
0
0
0
24
24
24
24
0
0
8
0
4
0
0
0
0
0
33
0
8
4
4
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
4
0
0
0
0
0
8
8
24
0
16
0
8
0
0
8
0
8
1
1
0
0
1
8
0
0
17
0
0
8
8
8
0
16
0
1
1
8
8
0
20
20
0
0
0
0
8
1
20
1
8
8
0
2
0
0
0
0
32
0
4
4
4
0
2
1
0
0
0
0
0
0
0
4
16
16
16
0
12
12
0
8
0
0
4
4
4
0
0
0
0
0
0
8
0
0
0
1
1
1
0
0
0
0
0
0
20
20
20
20
0
8
0
0
0
0
0
0
0
4
0
0
0
0
0
16
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
8
16
8
8
0
0
0
0
8
0
0
0
0
0
0
8
0
0
0
33
16
0
0
0
0
0
21
8
8
0
0
0
4
4
4
0
0
0
0
0
35
0
0
0
0
8
8
16
0
8
0
0
16
1
8
8
8
8
8
8
16
21
0
22
4
4
32
0
0
0
0
16
16
8
8
0
8
8
2
2
24
42
16
26
5
0
8
8
0
19
0
16
16
0
28
8
8
16
48
0
20
0
0
8
8
8
12
16
0
4
0
0
0
0
4
8
8
8
0
8
0
0
0
0
0
8
8
8
8
8
8
8
8
8
8
8
0
0
40
16
16
16
0
8
16
0
0
0
16
16
16
16
2
2
0
0
0
0
8
5
5
0
16
2
1
8
16
16
16
16
0
0
0
0
0
0
8
4
4
4
0
0
24
0
0
0
8
0
0
0
0
2
8
8
8
8
8
8
8
8
1
24
24
24
24
24
0
0
0
0
16
8
20
16
32
8
8
0
16
2
2
32
16
0
16
0
4
4
4
0
0
0
8
24
0
0
0
0
0
0
0
0
16
1
0
0
8
4
0
8
8
8
9
9
0
0
17
8
8
0
16
2
2
0
0
4
2
0
0
0
4
0
0
0
0
0
0
16
8
8
0
0
0
0
0
0
8
8
4
4
4
0
0
0
0
0
1
0
8
0
0
4
4
0
0
0
16
0
0
16
16
4
16
16
16
4
9
0
8
0
0
0
0
24
24
24
0
0
0
0
16
9
9
0
8
4
4
8
0
4
4
4
8
0
0
0
0
0
4
2
0
0
0
0
0
0
0
32
0
0
2
0
0
0
0
16
4
12
1
40
8
8
0
0
0
8
4
8
0
24
24
0
20
0
8
0
0
0
0
2
16
16
0
0
0
8
8
0
0
0
0
0
8
0
0
12
32
1
1
0
17
17
17
0
0
4
16
0
0
8
0
8
8
0
0
16
0
0
0
0
0
0
0
16
16
16
0
0
0
0
0
0
8
8
8
0
20
2
16
0
0
8
8
16
8
4
16
16
4
0
0
0
0
1
0
8
0
41
0
0
16
16
0
4
16
16
0
1
16
8
8
0
8
0
8
8
8
8
8
8
16
16
16
0
0
0
0
0
0
8
8
16
20
0
0
4
0
17
17
0
0
8
0
0
0
0
1
16
0
8
0
16
2
0
0
16
8
0
0
0
8
0
16
4
16
0
16
16
16
16
16
16
0
0
25
24
1
1
1
1
0
0
0
16
0
0
6
0
8
0
0
16
16
16
8
0
18
8
8
16
8
17
4
4
4
4
4
16
0
0
2
2
0
0
4
4
4
8
8
2
0
16
8
16
16
4
2
0
16
16
0
0
0
8
0
0
0
16
16
8
8
0
4
0
0
16
0
0
4
16
0
8
0
0
0
4
0
8
2
9
6
0
0
0
0
0
0
0
0
0
0
8
8
0
0
8
0
2
0
0
16
16
16
16
16
0
0
0
20
20
20
0
0
0
16
0
0
8
8
16
0
0
0
0
0
8
0
24
0
8
0
32
32
0
9
8
8
0
0
33
16
16
0
0
0
16
4
0
0
0
1
0
0
0
0
4
4
0
16
0
0
8
0
8
0
0
16
0
0
0
0
0
24
24
0
43
0
8
0
0
0
0
0
0
0
2
2
16
16
16
16
1
1
1
0
16
16
16
1
16
16
16
9
5
8
24
8
24
24
24
16
4
4
8
8
8
8
0
8
0
2
4
0
0
0
2
2
24
8
8
8
8
8
8
4
2
2
2
2
2
2
2
0
16
26
23
23
0
0
8
0
0
0
28
4
0
0
0
0
20
16
16
0
0
16
16
4
4
0
16
24
16
16
16
0
0
0
16
0
0
0
0
8
8
8
8
8
8
10
10
10
1
32
0
0
8
8
0
0
8
0
8
16
16
0
0
0
0
0
0
8
0
0
0
0
0
0
0
8
0
0
4
4
0
16
0
16
0
0
0
32
16
0
16
0
1
1
8
4
0
16
16
0
0
0
0
54
18
1
1
1
1
1
1
0
0
0
0
2
2
2
8
4
0
0
0
0
0
0
0
16
16
0
0
0
2
4
0
8
0
8
8
8
8
0
0
4
4
0
0
0
0
1
1
0
0
0
4
8
8
8
8
12
12
16
0
0
0
0
0
16
16
0
0
8
0
8
8
8
8
0
16
0
0
0
8
0
0
0
0
0
0
16
0
16
16
0
0
0
0
0
0
0
0
0
41
0
0
0
0
0
0
0
0
0
1
16
16
16
0
0
1
1
1
0
0
0
0
0
16
8
16
16
0
45
45
0
13
13
13
13
13
13
13
13
0
16
16
16
0
4
8
0
0
0
0
0
0
34
34
34
0
8
0
4
0
0
0
8
8
0
8
8
8
2
8
16
16
0
0
4
8
8
0
0
0
0
0
0
0
16
12
8
0
16
0
0
0
16
0
4
8
0
0
9
1
0
0
2
2
0
0
0
0
0
0
0
16
0
0
24
2
4
4
4
0
0
0
0
0
16
12
16
16
16
0
8
16
8
8
8
8
0
0
0
17
24
16
17
20
8
0
0
0
2
0
0
0
1
4
0
0
0
0
8
0
0
0
32
0
16
32
16
20
20
0
0
0
16
0
0
4
4
8
0
0
0
0
2
2
0
16
8
0
0
56
1
16
8
8
8
0
0
0
0
0
0
24
0
0
16
16
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
4
8
8
16
0
0
0
0
16
0
16
8
8
4
0
0
0
8
8
61
0
0
0
8
0
0
0
0
0
0
16
16
16
8
8
8
40
40
40
0
0
8
8
40
8
8
0
0
4
0
0
0
18
18
18
0
0
8
0
0
0
0
0
0
16
4
0
0
0
0
0
2
1
1
0
0
16
0
8
0
17
0
2
16
0
0
0
8
11
11
1
1
1
0
0
0
0
19
19
8
4
0
0
0
37
0
0
0
9
0
0
0
0
0
0
16
0
0
16
0
16
16
1
8
18
0
0
0
0
0
4
0
8
0
0
0
0
8
32
32
4
8
3
3
2
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
16
0
17
17
4
32
0
8
16
0
4
12
12
0
4
4
1
1
1
0
0
0
0
0
0
0
4
32
0
0
0
0
0
0
16
0
0
8
0
0
0
8
0
0
0
0
0
0
0
0
0
4
4
0
0
0
0
0
0
0
0
0
0
0
1
16
0
4
4
0
0
0
0
16
16
16
0
0
0
16
16
0
0
0
0
0
0
0
20
20
0
0
0
0
0
0
0
20
0
0
0
16
0
1
1
1
1
0
0
0
0
0
0
0
0
12
0
0
0
0
16
0
8
8
8
16
0
0
0
0
1
0
32
0
4
0
0
8
0
8
0
8
0
8
8
8
0
2
2
2
2
16
0
0
1
0
0
8
0
8
40
40
40
0
0
0
0
0
0
0
0
2
8
16
16
8
8
2
2
0
0
0
8
8
0
16
16
12
0
1
25
25
16
16
16
20
0
16
0
0
0
42
16
16
16
0
16
16
0
0
0
0
0
0
0
2
2
0
8
8
0
1
0
0
8
8
8
8
0
0
0
8
8
8
0
8
4
0
0
4
0
0
10
0
0
0
0
0
8
0
0
16
8
23
8
0
0
0
0
16
16
0
0
8
0
0
1
0
8
8
2
1
1
1
4
16
4
21
21
21
21
0
0
0
16
0
1
1
2
0
0
24
45
33
8
16
0
4
8
0
0
0
0
8
0
2
2
4
4
8
0
0
0
0
0
0
0
0
0
24
1
16
0
16
0
0
0
0
2
0
0
1
1
1
1
1
0
4
0
12
12
12
0
0
8
0
0
0
0
10
0
20
20
0
0
0
2
16
1
24
24
24
0
0
4
0
0
0
0
0
0
16
0
0
0
0
0
4
1
8
8
0
0
0
8
24
24
0
1
16
8
0
0
4
0
8
16
16
8
0
0
0
0
0
8
0
0
0
2
2
16
18
0
8
0
0
8
0
0
0
0
0
0
1
0
0
0
0
0
0
0
4
0
16
16
0
16
16
0
0
48
0
8
8
8
8
16
16
16
0
8
24
0
0
0
0
1
1
1
1
1
1
4
4
4
0
8
0
0
0
1
0
0
16
0
0
16
0
8
0
0
0
0
0
0
1
8
8
0
0
16
0
16
16
32
8
0
16
0
0
0
0
8
1
0
0
0
8
0
0
0
0
0
0
0
0
4
8
0
16
4
0
0
0
0
0
0
4
4
0
4
4
0
0
16
0
1
0
0
8
0
0
0
8
8
8
0
0
0
16
16
16
8
0
0
0
0
0
0
16
4
8
8
8
8
32
32
0
0
8
8
0
0
12
0
0
8
8
8
16
0
0
0
18
0
4
24
24
0
32
0
0
8
0
8
16
0
0
0
8
16
8
28
0
0
0
0
16
0
0
0
8
24
1
16
8
16
8
8
8
8
8
8
8
8
0
0
0
0
8
8
0
1
1
4
0
0
0
0
0
4
1
1
17
8
16
0
0
0
8
8
16
0
0
0
0
0
0
0
9
9
24
0
0
0
0
8
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
8
8
0
24
1
0
8
8
16
8
0
0
0
0
8
1
1
8
8
4
0
32
0
0
0
0
0
0
0
0
0
0
8
16
0
8
8
0
0
0
0
0
0
0
0
0
8
0
8
16
0
8
0
0
0
8
8
4
0
0
0
0
0
0
8
0
0
8
8
1
1
0
0
0
0
0
0
0
0
8
0
2
0
0
0
0
0
10
8
0
0
0
8
16
16
16
16
8
16
10
0
8
8
8
0
0
8
0
8
0
0
0
0
0
0
0
2
0
16
0
16
16
0
4
4
0
8
8
8
8
8
0
8
8
32
32
32
0
0
0
0
0
41
16
16
16
4
0
0
0
0
16
0
0
32
32
0
1
0
16
0
8
4
16
8
0
0
0
0
32
32
1
16
16
16
0
0
0
2
0
4
0
0
8
16
16
0
0
0
32
9
16
0
0
0
0
8
28
0
0
8
0
4
8
8
8
8
16
16
8
0
0
32
2
2
16
4
16
4
4
4
0
2
12
12
12
0
16
0
0
20
0
32
17
16
0
4
0
0
0
0
0
0
8
8
0
0
0
4
16
0
0
8
8
1
1
1
0
8
0
26
0
0
0
8
0
0
0
8
0
8
0
0
2
4
0
8
8
8
16
8
8
0
0
0
18
0
8
0
0
8
8
24
0
0
8
8
8
0
0
0
8
0
0
0
0
4
4
0
16
16
4
4
0
0
0
0
16
1
0
0
2
2
0
0
0
16
16
16
16
0
0
0
0
0
4
4
1
1
0
0
0
0
16
16
8
0
8
8
4
4
4
4
9
0
16
16
16
16
2
17
0
16
16
0
0
0
0
8
16
0
0
8
4
0
0
0
0
0
48
48
1
0
0
24
4
16
8
0
0
0
16
0
18
0
8
0
0
4
8
8
0
8
0
0
0
0
0
0
8
8
8
16
21
0
8
6
16
8
0
0
24
24
24
0
0
0
0
4
4
4
4
4
0
0
8
0
0
0
1
1
0
0
8
4
0
16
4
4
4
0
0
0
0
0
16
16
36
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
1
1
1
20
0
24
24
0
0
0
0
0
1
8
8
57
8
8
0
0
0
8
0
8
0
8
0
0
0
20
0
0
1
1
16
16
16
0
2
0
0
0
0
2
0
0
0
0
0
16
16
16
0
0
24
8
4
1
0
32
4
0
0
0
16
8
8
8
8
0
0
8
8
8
8
8
2
2
2
2
0
0
0
0
0
16
16
0
0
0
17
8
0
0
0
8
0
0
16
16
16
32
4
0
16
0
16
4
0
8
0
8
8
0
1
0
0
16
4
0
0
0
8
8
4
4
2
1
0
1
0
0
0
8
0
8
2
19
0
0
0
0
16
16
0
0
0
0
0
0
8
8
0
2
0
0
0
0
0
0
0
16
16
0
8
0
0
0
0
0
0
1
1
8
0
0
0
4
16
0
0
2
0
4
0
0
0
0
12
12
16
16
0
1
1
1
0
8
8
8
4
16
16
0
1
8
8
0
2
2
2
2
2
16
0
1
11
4
0
0
0
16
8
8
8
8
1
0
16
17
17
6
1
0
0
0
0
0
0
8
0
2
16
16
0
0
0
8
1
4
8
0
0
0
0
0
16
16
16
16
0
0
0
8
0
0
0
0
0
0
0
0
0
0
4
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
20
16
0
9
16
2
0
0
16
16
16
16
0
0
0
16
8
2
8
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
0
0
0
0
0
16
8
8
0
16
16
16
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
16
8
8
0
0
32
32
32
32
0
4
12
0
8
8
8
0
0
0
8
0
8
24
24
0
0
0
0
0
0
8
0
32
1
1
0
0
24
8
16
32
0
1
8
8
16
8
4
4
4
0
1
4
16
1
0
0
0
0
4
8
8
8
0
0
0
4
8
0
0
2
4
2
0
0
0
20
20
8
8
8
0
4
1
1
1
0
0
0
2
2
0
0
0
8
8
4
4
4
0
16
1
4
0
0
0
24
0
0
0
8
0
8
1
8
8
0
8
0
1
1
1
1
24
0
0
8
24
0
16
16
0
0
0
0
24
0
0
0
0
0
0
10
8
8
8
0
0
8
8
0
8
0
0
0
0
0
0
0
16
0
16
0
0
0
16
16
16
0
0
0
5
2
0
4
8
8
0
16
52
52
52
0
16
0
0
0
1
0
0
0
0
8
8
8
2
2
8
8
2
0
0
16
2
1
1
4
8
8
8
8
0
0
16
16
8
4
4
4
0
8
8
3
0
0
0
0
0
4
18
0
16
16
16
16
16
16
48
48
0
0
28
5
0
0
0
0
16
0
8
8
0
4
1
4
4
4
24
0
0
0
0
1
1
4
4
0
0
0
16
16
0
26
8
0
0
0
0
0
8
0
0
0
0
8
8
0
16
0
0
0
0
23
0
0
0
9
0
8
0
1
16
2
3
3
0
0
0
2
20
0
0
0
0
18
4
32
0
16
8
0
8
8
0
16
16
0
0
0
4
4
1
0
0
16
0
0
2
0
9
0
16
26
26
0
0
8
4
0
8
2
4
16
8
8
0
16
8
1
8
32
32
0
8
10
0
0
4
29
29
0
0
2
8
0
0
8
4
4
0
16
2
2
8
8
8
0
24
0
0
16
16
16
0
0
0
32
32
32
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
12
12
0
0
8
0
8
0
8
0
0
0
0
0
0
0
16
4
8
0
0
0
0
0
0
0
0
0
24
0
0
0
13
13
13
0
0
0
0
0
20
0
0
0
16
0
9
0
0
0
0
0
16
8
0
20
0
0
0
8
4
1
0
24
0
24
24
24
24
24
24
24
24
24
8
0
24
0
24
0
8
8
8
0
16
8
0
2
16
4
0
2
0
0
8
4
0
0
0
0
0
0
0
0
8
16
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
16
16
0
8
9
9
16
0
0
2
2
16
16
0
0
8
0
0
8
0
16
16
4
4
1
2
2
2
1
1
0
1
16
0
0
0
0
0
0
12
0
0
0
0
0
0
8
8
1
1
0
0
0
0
2
6
0
8
0
0
8
0
0
16
16
16
8
8
8
4
0
16
0
16
0
0
0
0
8
8
16
0
0
0
0
0
1
0
0
0
0
20
1
1
1
8
8
8
8
8
32
32
2
24
24
24
24
0
16
23
0
8
16
16
0
16
0
0
0
16
0
8
24
0
32
8
0
10
16
0
0
8
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
0
0
0
0
2
0
2
32
8
0
0
0
4
17
8
0
0
16
8
0
8
0
0
0
2
0
8
32
0
0
0
16
0
0
0
0
0
0
16
0
16
16
20
2
8
0
1
6
16
0
0
0
40
0
0
0
8
16
0
0
8
8
2
0
0
0
0
0
8
8
2
2
16
0
8
4
18
0
0
0
11
11
1
0
0
8
8
8
8
16
0
0
8
8
8
8
4
4
0
0
0
2
8
8
0
0
0
0
8
0
0
0
0
0
0
0
16
0
0
0
0
8
12
8
16
16
16
8
20
16
16
0
8
0
0
16
16
16
24
0
0
0
0
0
0
0
0
0
8
8
0
8
2
0
17
17
21
21
21
16
16
16
0
0
8
4
0
0
0
0
0
8
0
0
2
2
0
0
16
16
0
0
24
8
0
52
8
0
0
32
4
4
0
0
0
0
0
0
8
8
0
0
4
0
0
0
0
0
0
0
16
16
1
8
0
1
0
0
0
0
2
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
4
0
4
9
1
8
0
0
0
16
0
0
0
0
0
0
8
4
0
0
2
16
0
0
0
0
0
24
16
16
0
0
0
8
0
0
0
0
0
0
0
8
2
0
1
1
0
0
0
0
0
0
0
0
1
8
0
8
18
0
16
16
0
0
0
0
0
1
0
16
8
2
0
1
1
32
0
0
0
0
0
16
16
16
16
16
18
16
4
8
4
4
16
16
0
0
0
0
0
8
0
16
9
8
12
35
35
0
0
0
0
0
8
8
8
0
0
16
0
0
0
8
8
2
16
16
8
4
4
0
0
0
2
1
1
16
4
0
12
12
12
12
8
8
16
1
0
0
0
0
21
4
0
0
0
0
1
1
22
1
0
8
0
0
0
0
0
0
4
8
0
0
0
0
0
0
0
0
0
0
0
0
2
8
8
16
0
28
2
16
16
16
16
0
0
0
0
0
4
0
1
2
16
0
0
16
1
1
0
0
4
8
8
8
8
1
16
16
32
32
0
16
0
4
2
2
0
14
0
16
0
0
0
8
0
16
8
10
0
0
0
32
45
32
0
0
56
56
56
56
56
56
24
8
4
2
2
8
0
0
0
24
0
0
0
0
0
8
0
8
4
2
4
0
0
0
8
0
8
2
16
16
16
0
0
1
0
0
4
4
2
16
1
4
8
0
18
0
0
0
0
16
16
4
0
0
0
0
16
12
12
12
2
0
0
0
0
10
10
10
0
0
0
0
0
17
8
8
8
16
8
0
0
0
0
16
0
0
8
0
0
4
0
33
33
33
33
8
3
8
0
0
0
0
0
0
16
0
0
0
0
8
0
0
8
0
0
8
16
12
2
16
18
0
0
8
8
32
32
32
0
0
0
0
16
16
0
0
16
0
8
0
0
0
4
4
0
8
8
0
0
0
0
3
0
0
0
0
0
0
8
0
8
32
1
5
16
16
20
8
8
8
0
20
9
9
2
0
0
0
0
8
8
0
0
0
0
0
0
0
16
26
0
0
0
4
19
0
0
32
32
1
4
0
0
0
0
0
0
0
0
0
0
8
0
0
8
8
16
0
0
0
25
25
25
25
25
25
0
2
0
8
0
8
0
8
8
16
16
0
8
0
8
8
16
16
4
16
12
0
0
8
8
8
24
8
0
8
0
8
8
4
0
0
0
12
0
0
0
1
8
0
8
8
0
0
42
16
24
0
0
0
0
0
16
0
0
17
17
0
0
0
0
0
32
9
0
0
4
1
1
0
0
0
0
0
16
16
16
4
4
0
0
0
0
12
8
8
8
8
24
8
22
22
8
16
16
8
8
8
0
0
0
8
0
0
8
0
0
0
0
0
4
4
0
0
16
16
16
0
8
32
32
2
4
4
4
4
4
4
4
4
0
8
0
8
8
49
18
16
21
21
0
0
24
2
1
0
0
0
0
0
8
0
0
0
0
0
0
8
8
16
0
0
0
4
4
4
16
16
16
16
16
0
0
0
0
4
16
16
1
16
8
8
2
2
2
16
4
0
8
8
8
8
0
0
0
0
0
8
8
8
0
0
0
8
0
0
0
0
0
0
16
8
0
0
0
0
0
0
0
0
2
0
4
32
32
9
0
0
0
8
8
16
8
0
1
1
4
0
8
2
4
4
0
0
0
1
1
4
4
0
4
0
4
0
8
0
0
8
8
0
0
0
8
4
0
0
1
0
0
8
8
0
0
0
8
0
8
8
8
8
16
16
32
24
0
0
0
0
2
24
8
0
0
1
1
8
0
0
0
16
8
8
0
0
0
1
1
16
16
8
2
0
16
32
32
32
0
0
8
5
16
0
16
16
12
12
12
16
4
0
0
0
0
1
4
4
0
0
0
2
2
0
0
16
16
0
0
0
0
0
32
32
1
8
8
0
0
0
0
0
0
0
24
18
8
0
2
2
2
8
8
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
8
16
16
0
16
16
16
16
16
0
0
0
0
0
0
8
8
9
0
0
0
0
2
0
0
16
0
8
8
6
16
0
0
4
8
4
0
0
8
8
8
0
52
16
16
16
16
0
16
16
2
2
0
16
16
8
0
0
16
0
8
4
0
0
0
0
0
0
4
16
16
16
8
16
0
8
8
16
16
8
8
4
0
0
0
0
4
4
1
0
0
0
8
8
4
0
1
1
1
40
0
22
16
16
16
16
8
0
0
0
0
0
8
2
2
16
16
0
16
8
8
8
8
2
16
8
0
0
0
0
16
16
32
8
8
0
0
2
1
1
16
0
0
0
8
8
8
8
0
0
24
0
32
32
32
0
4
0
12
0
0
8
0
8
0
0
0
1
0
18
18
16
8
8
8
8
8
4
0
0
0
4
0
0
0
16
0
0
0
0
8
8
1
1
0
0
0
0
0
4
4
4
4
4
0
0
0
16
8
0
0
8
16
16
16
0
8
0
0
0
16
40
40
16
9
8
16
18
0
0
0
0
8
8
8
0
0
8
8
8
8
4
0
0
16
16
16
0
0
0
0
48
16
0
0
0
0
16
8
4
0
4
4
2
2
2
0
0
0
0
0
0
0
8
8
8
8
0
8
0
0
0
0
16
16
8
8
0
8
8
0
16
1
0
32
1
1
8
0
8
8
16
8
0
4
0
16
0
0
0
0
0
0
8
0
0
0
8
0
8
8
2
8
0
16
0
0
0
0
0
8
16
0
16
0
0
0
0
0
8
8
8
8
16
16
8
16
0
16
0
0
0
27
8
2
0
0
0
14
0
16
16
0
0
8
0
0
0
25
25
25
8
8
0
0
0
16
0
0
0
0
16
6
0
0
0
0
0
0
24
0
20
0
16
0
0
2
2
8
0
0
0
2
2
2
0
8
0
8
8
8
8
8
8
8
16
16
16
2
0
8
0
0
0
24
5
0
0
24
24
16
0
4
8
24
16
0
0
8
8
4
4
4
0
0
0
0
0
0
0
0
0
8
8
8
8
0
0
0
16
0
0
0
0
0
16
0
32
32
0
1
4
5
0
0
0
2
24
4
4
36
36
8
8
0
0
0
0
0
8
8
0
0
3
2
0
0
0
0
0
0
0
8
0
16
0
0
8
8
0
0
16
0
0
0
16
0
8
16
0
0
8
0
0
0
0
0
18
0
0
8
0
0
16
0
1
0
16
16
4
0
0
0
0
16
16
24
0
4
0
0
0
8
0
0
0
0
0
16
16
0
0
16
0
0
0
4
0
6
0
0
0
0
0
0
0
0
0
8
28
0
0
0
0
0
0
16
0
0
0
8
16
16
2
0
0
16
16
8
0
16
16
0
0
8
8
8
12
0
0
16
16
32
8
0
0
0
0
0
17
16
0
0
0
0
0
1
1
0
0
8
0
0
1
16
8
40
0
8
0
0
1
1
21
0
0
0
0
28
28
0
0
8
0
0
0
0
0
0
0
16
4
4
16
4
0
0
0
0
8
8
8
8
8
8
1
0
0
0
16
18
16
1
1
0
4
0
0
8
16
0
0
8
8
0
0
2
1
8
8
8
0
0
0
0
16
8
4
8
0
0
0
1
8
8
16
0
0
0
0
0
1
0
8
8
1
0
16
1
4
4
0
0
0
16
8
0
0
0
0
0
0
25
0
8
16
0
16
4
4
16
0
0
0
0
0
12
12
0
16
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
8
0
0
16
0
0
24
24
24
24
0
0
16
0
0
0
0
8
1
0
0
0
10
24
8
0
0
4
4
8
8
8
0
8
10
0
0
2
9
9
16
0
0
8
18
0
0
0
0
8
0
0
20
16
0
0
12
0
8
0
4
0
0
0
8
8
0
48
24
9
9
0
4
0
2
0
0
16
0
8
8
8
16
16
0
0
8
0
0
0
8
9
9
0
0
16
16
28
8
0
0
10
10
10
32
32
0
0
0
0
0
16
16
8
0
8
2
0
0
0
0
0
0
0
8
8
8
8
8
8
8
8
0
3
8
4
0
0
0
0
0
0
0
0
0
8
8
8
0
8
8
16
8
8
24
0
8
8
0
0
40
0
16
16
0
0
0
0
0
4
4
16
16
0
0
0
8
4
0
0
4
0
0
16
0
8
8
0
0
0
0
0
8
0
8
0
8
9
8
0
0
8
0
0
0
0
0
0
0
0
0
8
0
16
16
2
0
16
16
0
4
0
0
0
0
8
8
8
0
0
10
0
4
0
0
0
0
16
0
0
0
0
0
0
8
2
0
20
0
0
0
0
18
0
0
0
8
8
32
0
8
0
0
0
0
2
0
0
0
1
0
0
0
0
0
25
25
8
0
0
0
0
0
0
0
0
2
2
8
0
8
0
0
24
24
24
8
8
0
0
0
4
48
0
0
0
20
8
8
0
16
16
16
0
17
5
0
0
16
16
4
4
4
0
8
8
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
16
0
8
8
8
0
0
0
0
23
8
8
24
0
0
4
4
4
0
0
0
0
0
0
11
0
16
8
0
1
8
0
0
0
0
0
0
0
0
1
16
0
4
0
0
8
8
4
0
8
0
0
1
1
8
16
54
32
1
8
0
0
0
16
4
0
1
16
16
16
1
16
16
0
4
4
4
4
0
0
0
0
0
4
0
0
0
0
1
1
0
0
2
1
8
0
0
0
12
12
12
8
0
0
0
0
8
0
0
4
0
8
0
8
0
0
0
0
40
0
0
8
28
0
0
0
0
0
8
8
16
16
0
1
2
2
16
4
4
4
0
16
0
0
0
0
0
0
2
8
0
0
0
36
36
16
8
8
0
1
16
16
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
8
0
0
0
0
8
8
8
0
1
0
9
16
16
0
0
0
28
28
8
16
0
0
4
2
28
21
0
8
0
0
0
0
0
0
16
16
0
0
16
16
0
2
0
0
4
18
0
0
0
0
40
4
4
1
0
1
0
0
0
16
8
0
8
4
2
0
0
8
8
0
8
4
0
0
0
0
0
0
0
8
8
2
2
0
0
0
16
16
0
0
16
0
0
0
5
0
8
8
0
8
8
2
0
0
0
0
0
32
0
8
8
8
0
20
0
34
16
0
16
40
8
8
16
8
8
0
0
0
0
8
8
8
8
0
20
20
4
2
6
0
16
0
0
8
0
0
0
0
4
0
0
0
2
0
0
0
1
16
8
8
8
16
16
16
16
0
8
0
16
2
24
9
0
32
0
0
48
8
16
0
0
8
0
0
1
8
2
0
0
0
0
0
8
0
32
0
8
0
0
0
0
8
17
0
8
0
4
4
4
16
16
0
1
0
32
16
0
0
0
0
8
1
16
0
0
16
16
16
16
8
16
0
8
16
8
0
0
0
0
0
28
8
0
0
0
0
0
8
8
0
0
0
0
4
8
8
8
8
8
8
0
0
16
0
16
16
16
0
0
0
0
0
17
8
8
8
8
0
0
4
0
0
0
0
0
16
0
0
0
24
16
0
0
0
0
0
0
20
0
0
0
17
8
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
9
0
0
0
0
16
16
16
0
1
1
0
16
2
16
0
0
0
28
4
8
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
0
4
4
4
8
8
8
1
0
8
16
0
0
0
8
0
16
0
0
0
0
8
0
4
0
8
1
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
0
8
0
16
8
16
1
1
0
0
0
0
0
0
1
8
8
8
8
2
2
0
0
24
24
1
1
8
16
38
38
38
0
8
1
1
0
0
40
40
40
0
0
0
8
16
0
16
1
16
0
0
0
0
0
0
0
0
8
8
0
0
0
8
8
8
4
0
0
0
0
0
0
3
8
0
0
0
16
16
16
0
8
8
8
0
0
8
16
16
16
0
4
0
0
16
8
0
0
0
0
16
0
0
8
0
0
0
16
8
0
0
24
8
16
0
0
0
8
8
13
0
14
14
0
0
8
4
0
8
28
0
8
10
0
0
0
0
0
0
1
8
0
0
0
24
1
1
1
1
8
8
8
48
4
0
0
0
0
8
2
16
1
4
2
0
0
8
60
20
8
8
8
48
48
0
0
2
8
8
8
8
32
0
0
0
16
16
0
4
4
8
15
16
16
16
0
4
0
0
0
0
0
0
0
8
0
8
20
20
20
17
17
17
33
0
0
0
38
16
16
16
8
8
8
16
16
16
0
0
0
0
0
0
8
8
0
0
0
0
0
25
25
0
16
16
0
8
8
24
24
24
24
8
0
32
0
0
0
0
0
0
0
8
16
0
2
0
0
10
0
0
0
0
8
0
1
24
1
0
0
0
0
0
0
0
0
0
8
8
0
0
16
0
16
16
8
16
0
0
0
8
8
0
0
0
0
0
0
32
16
0
16
8
8
8
8
8
8
8
0
0
0
8
8
16
0
16
0
0
8
8
8
0
0
2
0
2
0
0
0
0
1
2
0
0
0
16
8
8
8
8
4
4
4
4
4
4
4
4
17
1
0
8
0
0
0
0
16
1
1
8
0
8
1
1
0
0
0
0
8
1
0
0
0
0
16
0
8
0
0
0
0
33
33
16
16
0
0
16
16
0
0
4
2
8
0
0
0
24
0
8
0
0
0
0
0
8
0
0
0
0
0
8
0
0
16
0
8
13
0
0
0
8
1
0
0
0
0
24
24
24
24
16
0
4
4
8
8
8
0
4
0
4
8
8
0
2
2
8
8
0
16
0
16
16
20
20
0
8
0
0
0
0
0
0
0
0
0
0
2
0
0
16
0
8
29
29
4
4
16
1
8
0
1
8
8
8
0
0
0
0
25
8
8
0
0
0
0
0
0
0
0
2
8
0
0
0
24
0
16
0
0
0
0
0
0
0
4
2
0
0
0
0
4
8
8
60
60
0
0
0
16
4
2
2
0
0
0
8
0
0
8
8
8
0
8
0
33
33
33
4
0
0
0
24
24
8
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
8
8
0
0
0
0
0
4
8
24
24
24
16
8
4
0
0
8
16
0
16
0
4
18
0
0
0
0
0
0
0
0
8
8
8
4
8
0
8
0
0
16
8
0
0
0
0
8
8
0
16
16
16
0
0
20
36
36
0
0
0
16
16
8
8
0
16
0
0
0
0
0
4
4
4
0
0
0
0
0
4
4
0
0
8
8
0
0
0
0
24
4
4
4
0
16
16
16
0
0
0
19
16
28
28
28
28
0
21
16
16
16
16
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
4
0
0
8
0
0
16
16
16
16
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
8
8
16
0
0
0
0
4
4
0
18
16
16
0
0
16
0
0
20
0
0
0
0
8
0
16
16
0
0
0
16
0
4
8
0
8
8
8
8
0
1
0
0
0
0
0
1
0
0
22
22
0
0
0
2
0
32
24
24
0
0
18
4
20
0
0
0
16
0
0
0
0
0
16
16
16
4
4
4
0
4
1
1
1
2
0
0
4
16
4
0
0
8
8
0
0
8
0
0
0
0
1
1
0
0
0
0
6
6
0
0
0
0
0
0
0
16
0
0
0
8
0
0
0
16
2
0
0
4
4
0
0
0
0
0
0
0
0
0
8
0
8
8
16
8
8
16
16
16
0
50
50
0
8
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
4
4
16
16
0
0
0
0
4
4
0
2
2
0
0
0
0
0
32
17
8
8
8
8
0
0
4
4
0
16
0
16
8
0
0
16
0
0
8
1
1
0
8
0
0
2
2
4
0
0
32
32
0
0
0
0
0
18
0
16
20
0
0
0
0
4
0
0
16
8
8
0
20
20
18
18
2
2
0
0
0
8
8
6
0
0
0
0
0
0
8
4
4
0
0
0
0
16
16
0
22
0
8
4
4
4
0
2
2
0
0
4
4
0
0
16
16
16
0
0
0
0
0
8
0
16
16
16
0
0
0
0
0
0
0
0
33
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
8
8
0
0
1
1
0
2
0
0
0
0
0
8
1
0
32
32
32
0
0
0
16
0
8
8
20
8
24
24
8
0
32
0
0
16
17
17
0
0
0
0
16
16
26
26
0
0
8
0
0
0
0
8
26
26
0
0
0
1
0
0
4
0
0
0
0
0
0
8
0
0
0
16
16
16
0
24
0
8
16
0
0
0
8
0
0
0
0
4
4
8
1
0
0
0
8
4
4
4
0
0
0
0
1
0
0
1
0
0
3
8
8
16
8
8
8
0
0
0
0
0
0
0
0
0
8
4
4
0
8
8
0
0
0
4
8
0
0
0
8
0
0
0
0
0
0
8
0
0
0
8
8
0
8
0
0
1
16
16
8
8
0
0
0
0
0
41
0
0
0
0
0
8
8
8
0
0
8
8
8
32
0
0
0
16
0
0
0
0
0
0
0
0
8
8
0
0
0
20
0
17
16
16
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
8
8
2
2
4
8
16
0
0
16
8
8
35
8
0
0
0
0
1
48
48
48
0
0
0
0
16
6
0
8
24
4
4
0
0
8
8
8
8
0
0
0
0
0
4
4
8
0
0
0
8
0
0
0
0
16
32
0
17
17
32
32
32
0
0
0
8
0
0
0
8
2
0
0
8
2
30
0
0
0
24
8
8
8
0
16
8
16
16
0
0
26
26
8
4
0
0
0
0
0
0
0
2
2
0
8
8
8
0
0
0
21
0
0
0
0
8
0
0
16
8
8
9
9
4
12
4
0
16
1
1
0
0
0
0
0
4
16
8
8
0
0
8
0
8
0
0
0
0
16
0
17
0
8
0
8
1
24
20
4
4
9
9
16
1
0
0
16
16
9
0
0
0
0
0
8
0
8
0
0
8
0
0
0
18
16
0
8
0
8
8
8
2
0
0
0
0
0
0
0
8
0
8
8
1
0
0
0
35
35
0
24
24
0
0
0
0
4
16
0
0
0
0
0
8
2
4
4
0
0
0
0
0
0
3
0
0
4
0
0
0
0
16
16
0
18
8
9
8
16
0
0
0
16
10
10
0
16
16
20
0
8
0
3
4
18
0
2
16
16
0
0
0
8
32
32
0
0
0
18
18
16
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
0
0
0
8
8
8
0
0
16
32
8
8
16
0
8
8
0
0
0
0
0
16
0
8
18
0
0
0
0
0
1
0
0
0
56
2
0
0
16
16
16
16
16
8
16
8
0
16
16
16
0
0
0
0
0
0
0
8
0
0
0
0
1
0
0
0
0
0
4
8
2
8
16
0
0
0
0
4
4
0
0
8
8
8
24
24
0
0
1
4
0
0
8
8
0
0
0
0
8
0
8
0
0
16
0
0
0
0
0
0
0
16
0
0
16
0
0
0
0
8
0
0
0
2
2
2
8
8
8
8
8
0
0
8
8
16
0
0
16
16
0
0
0
0
0
8
8
2
2
2
2
0
4
4
9
0
0
0
0
0
16
8
8
8
0
4
0
0
0
0
8
8
32
0
0
0
16
8
0
0
8
8
4
16
16
8
0
0
0
0
8
1
20
0
0
0
16
16
16
24
8
8
0
0
0
0
0
0
8
8
8
8
0
0
0
0
24
8
8
0
0
0
0
0
0
0
0
0
0
1
4
2
29
9
0
4
17
0
8
0
0
4
16
16
16
16
0
16
0
0
0
0
0
0
16
16
16
0
0
60
60
8
5
5
0
0
0
14
14
14
14
14
14
0
16
16
2
0
20
16
16
8
8
16
16
0
4
0
0
0
0
0
21
16
0
0
0
2
0
0
0
0
8
8
24
8
8
8
8
8
8
1
0
8
4
0
0
1
16
2
6
8
0
4
0
8
8
8
0
10
16
0
8
0
0
0
9
1
2
0
0
0
0
0
0
8
8
2
7
7
16
8
0
8
0
1
1
16
8
16
16
8
0
0
2
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
4
4
4
4
8
0
1
1
1
20
20
20
20
0
0
0
0
7
2
16
0
8
40
11
0
0
8
0
0
0
8
0
2
16
8
4
0
0
18
18
2
1
8
8
8
8
8
0
16
45
45
0
0
16
0
8
2
2
2
8
0
0
0
0
0
16
0
0
8
8
0
8
4
0
0
0
8
16
14
14
14
14
0
0
1
0
0
0
0
8
1
0
0
16
8
8
8
5
5
0
8
8
8
8
8
8
8
8
0
0
0
0
0
0
2
2
2
0
8
0
0
0
0
0
1
1
0
0
56
56
0
0
0
16
0
0
16
16
8
0
0
28
0
0
4
4
0
0
16
0
20
8
0
0
0
0
40
2
2
1
1
1
0
0
0
16
0
8
8
0
0
0
0
0
0
16
1
24
25
0
0
0
16
16
0
0
20
20
0
0
4
4
4
4
4
8
8
0
8
0
0
8
8
0
24
8
24
0
0
0
4
4
1
8
0
0
8
8
1
8
2
0
0
4
0
0
0
0
4
0
0
8
0
0
0
0
0
16
0
0
16
0
4
0
0
0
0
0
0
1
1
8
4
4
0
0
8
8
0
16
12
0
0
0
0
8
0
0
0
0
0
0
16
16
16
16
16
26
26
26
32
32
0
0
0
0
0
8
0
0
0
32
8
8
0
16
0
0
0
24
32
0
2
0
16
2
0
8
16
16
16
16
8
0
0
0
8
14
0
0
0
1
1
16
0
0
8
0
0
8
8
8
2
2
0
0
0
0
0
9
33
16
0
0
8
0
0
0
8
16
4
0
0
20
8
8
0
0
0
0
0
0
8
8
8
16
0
4
16
6
0
17
8
0
48
48
48
48
0
16
0
4
9
1
1
12
8
8
0
24
2
2
2
8
8
8
8
8
8
0
0
0
0
24
2
4
16
1
1
16
52
0
0
16
0
0
0
8
16
16
16
16
0
0
0
8
0
0
2
8
8
2
2
2
8
24
0
0
8
0
0
16
16
0
0
32
0
0
0
0
0
0
0
0
0
0
0
4
12
0
0
0
8
8
8
8
8
0
0
16
16
16
0
8
8
0
0
0
0
0
8
16
0
16
8
16
0
6
1
0
0
0
0
0
4
4
8
16
16
2
0
4
16
16
0
0
0
0
0
0
8
8
8
4
16
0
16
0
0
8
8
8
0
0
0
16
8
0
0
0
0
0
0
0
0
0
0
16
40
0
0
16
0
0
16
16
16
0
8
1
8
16
8
8
8
22
8
0
0
4
0
0
0
24
24
4
0
8
8
0
0
3
8
0
0
0
16
16
0
0
0
0
8
0
0
0
32
0
0
0
16
16
0
8
16
16
16
8
16
18
16
16
8
0
0
0
0
0
0
4
0
0
0
8
0
0
16
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
4
0
16
0
16
16
16
16
0
0
0
0
0
8
8
0
16
16
16
8
16
0
8
8
8
0
1
1
1
16
0
0
0
32
32
0
0
0
0
16
0
0
0
16
0
16
16
0
0
0
0
0
16
0
0
0
16
8
8
22
1
1
16
0
0
0
0
0
36
0
0
0
0
18
0
8
8
0
0
0
0
0
0
0
18
0
16
0
0
0
24
0
24
8
0
2
2
0
0
0
2
4
16
0
0
0
0
16
24
0
0
0
16
16
16
16
0
0
0
0
0
8
0
8
16
8
52
52
8
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
1
2
4
0
0
0
8
1
0
0
0
16
8
8
0
0
16
8
0
0
0
8
8
8
0
0
0
0
0
0
0
0
21
24
0
0
0
0
0
0
16
8
0
0
0
0
0
2
0
12
0
0
2
2
0
0
0
0
0
16
16
8
8
2
0
1
4
16
16
16
0
0
4
0
16
8
8
0
0
8
0
0
18
4
0
0
0
0
0
0
0
2
0
2
1
1
16
0
0
32
0
0
0
4
8
8
0
0
0
0
0
0
28
28
16
0
0
0
0
16
16
0
0
0
0
0
16
0
8
8
8
8
8
8
8
0
8
8
16
0
0
0
0
0
0
0
2
0
8
0
12
12
8
16
16
0
16
0
16
16
16
0
0
0
0
0
0
0
0
0
20
16
8
8
17
0
0
0
0
0
0
0
0
8
4
4
4
8
8
8
8
0
0
20
0
0
0
2
8
0
0
1
8
0
16
8
0
0
0
0
16
8
8
8
16
16
8
8
0
4
0
0
0
2
0
0
0
0
0
0
0
0
0
2
0
0
8
0
8
0
4
0
0
0
0
0
4
8
16
16
0
1
1
8
8
0
0
2
0
0
0
16
16
24
0
0
0
0
0
0
0
0
0
2
2
16
20
0
0
21
4
4
32
8
0
16
0
0
16
16
0
17
17
8
8
33
0
0
0
0
8
16
0
0
0
0
0
24
24
8
0
0
8
0
0
25
0
0
0
0
0
8
32
32
32
32
0
8
0
0
0
18
0
0
0
8
0
0
0
0
0
0
0
0
0
0
24
24
24
24
24
0
0
8
0
0
4
0
16
0
0
2
1
8
0
0
1
0
33
8
8
0
0
8
8
0
0
0
0
0
0
0
0
0
16
0
0
0
0
24
8
4
4
4
0
0
0
0
32
0
16
0
0
11
11
4
4
4
8
8
8
0
1
1
1
1
1
16
16
16
0
0
8
8
8
8
8
8
0
0
17
2
16
24
0
33
0
0
0
0
16
41
0
4
0
1
8
0
8
0
0
0
16
4
0
2
8
8
0
8
8
0
1
1
0
0
1
0
0
1
1
8
2
0
1
1
1
12
12
12
8
0
4
0
0
0
20
1
8
8
8
16
16
8
0
0
0
8
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
16
8
0
0
0
0
16
0
0
8
0
0
0
0
16
0
1
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
16
0
0
16
4
1
8
0
0
0
32
32
0
16
0
0
0
0
8
8
28
28
0
0
0
8
8
8
8
1
1
0
0
0
0
4
24
0
0
8
0
0
32
0
0
0
0
0
60
60
8
0
0
0
0
0
12
4
0
16
0
0
16
0
0
2
0
0
0
0
0
12
12
8
4
19
8
16
0
16
0
0
0
15
0
0
0
16
24
24
24
24
24
24
24
0
0
16
16
0
0
0
0
0
16
16
8
8
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
8
8
8
8
8
2
0
0
16
8
8
8
8
0
0
16
16
0
0
16
0
20
20
0
0
0
0
0
0
8
0
2
0
0
0
0
0
0
1
16
8
0
0
2
4
0
16
0
0
0
0
0
8
2
0
4
0
0
4
16
0
0
0
0
0
0
0
6
32
0
8
8
0
0
8
8
8
1
1
8
8
8
0
0
0
0
8
0
0
20
1
0
0
0
0
8
32
0
8
0
0
17
0
1
1
8
0
0
0
0
0
0
0
6
6
6
0
8
1
0
0
0
0
0
0
8
16
0
0
0
8
0
0
0
0
0
0
0
12
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
16
16
16
0
4
0
0
0
8
4
0
2
45
0
0
0
0
0
0
0
25
28
4
0
0
2
25
0
4
0
8
8
2
0
0
25
25
24
24
24
0
0
9
0
0
9
9
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
4
0
0
0
0
0
16
22
0
0
0
0
0
8
8
0
0
8
8
8
0
0
0
0
0
0
0
0
0
18
18
0
2
4
4
0
0
32
8
4
0
16
8
8
0
32
30
1
16
0
0
0
0
17
0
0
0
0
0
4
4
16
0
1
8
0
16
16
0
0
0
1
0
2
8
16
16
0
12
8
0
16
1
3
0
0
34
34
8
0
16
16
0
0
40
0
0
8
0
8
4
4
4
16
16
16
16
0
0
0
0
0
32
32
32
0
0
0
0
0
0
0
0
4
0
2
2
0
0
0
0
16
16
0
1
0
32
0
24
24
0
0
12
0
17
0
0
0
4
0
4
0
0
0
0
0
0
0
0
2
0
0
0
16
12
12
24
0
8
0
0
0
2
2
1
1
1
1
1
1
0
0
8
8
0
0
0
2
2
0
32
0
9
8
0
1
0
16
16
9
0
0
8
0
4
4
13
2
8
0
0
0
0
16
16
8
0
0
8
16
0
0
16
16
0
8
8
0
0
0
0
8
1
1
1
8
0
8
4
4
0
2
0
0
0
16
16
0
16
8
9
0
0
0
0
0
0
0
0
0
0
0
8
2
2
0
18
0
8
8
8
8
0
0
0
0
16
16
16
16
0
16
8
32
32
32
0
0
0
0
0
0
0
0
0
0
0
0
16
10
0
0
0
0
16
0
0
0
0
0
8
8
0
8
1
0
8
8
8
8
8
4
4
0
0
2
2
16
0
0
12
0
0
0
8
8
8
0
2
8
8
8
0
0
0
0
0
16
2
2
1
0
8
8
8
0
0
0
0
16
16
8
0
0
0
16
24
8
8
0
0
16
1
16
0
2
2
2
16
0
8
8
8
0
0
1
8
0
0
0
8
8
0
0
0
14
13
13
0
0
8
8
0
0
8
8
0
0
4
0
8
8
4
4
0
0
16
16
16
0
0
8
0
0
8
8
8
8
16
2
0
0
1
0
0
0
4
17
17
0
0
12
0
0
0
0
2
2
0
0
0
0
0
0
0
3
3
0
0
0
8
16
8
4
8
8
8
4
0
0
0
0
1
10
10
0
0
0
0
0
0
0
0
0
0
24
24
8
8
0
0
8
0
0
0
0
0
8
8
8
8
8
0
0
0
16
8
16
48
0
0
8
0
8
12
0
4
16
16
16
16
8
0
0
0
16
0
0
2
2
0
0
2
0
0
18
18
0
16
0
0
0
0
4
16
0
0
0
0
0
1
0
0
0
0
0
0
24
0
1
8
8
0
24
24
0
8
16
16
0
4
0
0
0
0
0
16
16
0
4
30
1
16
8
48
18
28
24
16
0
8
8
8
16
8
0
0
0
32
8
0
0
16
8
0
0
16
16
16
16
0
0
8
0
8
8
0
4
4
0
0
1
2
2
2
2
16
16
0
0
1
36
16
16
1
1
8
8
0
1
8
0
2
8
8
8
8
48
0
2
8
8
2
0
0
8
8
8
8
8
16
8
20
20
20
16
0
0
0
1
0
0
8
0
0
0
0
0
0
8
0
0
0
25
8
0
0
16
0
0
16
0
0
2
8
12
8
2
0
9
8
16
0
8
0
0
0
0
0
0
8
0
0
0
0
1
4
16
1
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
24
8
8
0
0
4
4
4
4
4
18
18
16
20
0
60
0
0
0
1
0
4
4
0
0
0
0
0
0
1
8
8
8
8
0
0
0
16
4
24
8
8
2
4
4
0
0
8
8
0
0
0
4
4
2
2
0
0
0
0
0
0
0
0
61
61
8
0
1
16
0
0
0
2
0
0
0
0
8
8
8
8
8
0
2
4
4
4
4
4
0
0
0
1
2
8
0
0
0
0
0
0
0
0
0
0
5
8
8
4
4
0
1
1
16
16
0
10
0
2
0
0
2
2
16
0
20
20
0
0
4
0
16
0
0
0
11
0
0
8
8
4
0
16
16
0
0
16
16
16
16
16
8
0
12
4
4
4
0
4
9
9
0
0
16
2
0
0
0
0
0
8
0
1
9
9
0
16
16
16
0
2
0
24
24
0
8
8
1
0
0
16
0
0
0
8
8
8
8
8
0
0
2
0
0
0
0
0
24
0
0
0
0
0
0
8
8
0
0
0
0
0
16
16
0
0
0
0
16
16
0
16
24
0
0
0
0
0
0
0
0
8
0
0
0
0
24
0
4
8
8
0
0
0
0
0
0
0
0
16
4
8
16
16
8
0
0
8
8
8
16
16
0
0
0
8
8
8
0
0
0
8
0
0
1
20
0
16
16
16
0
0
0
1
0
8
0
0
0
0
0
0
8
24
0
8
0
0
0
0
4
4
4
32
0
0
0
18
0
0
0
8
0
0
0
0
0
8
0
0
32
0
0
0
8
0
0
0
0
0
0
0
0
0
4
4
0
0
8
8
16
16
0
0
8
8
8
8
2
0
16
0
0
0
0
0
4
4
10
0
0
8
16
20
20
20
0
0
16
0
0
16
0
0
0
0
0
0
0
0
0
0
1
0
1
0
28
8
8
40
0
16
0
0
0
0
16
0
0
0
0
0
0
0
1
8
8
0
0
0
0
0
0
0
0
0
0
50
16
16
8
0
8
8
25
25
0
0
0
0
0
0
49
0
32
16
8
16
4
0
8
27
2
0
4
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
24
1
1
0
0
0
8
8
0
0
16
0
0
0
0
40
0
0
0
4
0
8
8
0
32
8
0
16
16
4
0
0
0
8
8
0
0
16
16
16
8
8
0
0
0
0
0
0
16
16
16
16
16
24
24
1
2
2
16
16
16
16
0
0
0
0
0
8
8
2
8
4
4
4
4
0
0
0
2
8
16
16
0
1
0
0
0
8
8
8
0
0
0
0
18
8
1
8
16
16
16
0
0
0
0
0
0
0
0
2
2
2
2
2
8
0
0
16
0
16
0
16
8
0
8
8
16
0
0
24
1
1
1
16
0
0
0
8
0
0
2
0
0
0
16
0
8
0
0
0
0
0
8
0
8
8
4
8
0
18
16
0
0
0
56
56
0
16
16
12
4
4
0
0
0
0
0
0
0
8
8
0
0
0
0
16
20
0
0
0
0
0
25
0
8
0
0
0
0
8
16
0
0
0
0
2
2
2
2
0
32
32
8
16
0
16
0
0
0
0
2
0
0
0
0
21
0
8
0
8
0
16
16
0
0
16
16
20
0
0
0
0
0
8
8
16
2
0
0
11
9
0
1
1
0
0
16
16
4
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
32
0
0
8
8
8
0
0
0
32
32
0
16
16
0
16
0
0
0
0
0
8
8
8
1
1
1
4
0
4
8
8
8
0
0
0
0
16
16
16
16
8
8
0
4
0
8
0
0
0
0
8
2
2
2
2
0
0
0
0
16
0
1
16
0
0
0
16
16
0
8
0
0
0
0
0
0
0
8
0
0
0
0
8
8
48
0
24
0
0
0
8
8
8
8
8
0
0
0
33
33
33
3
24
16
16
16
16
16
1
1
1
1
18
0
0
0
8
0
0
0
0
0
0
16
16
0
0
0
8
0
0
16
0
0
16
24
24
24
24
24
24
0
8
0
8
16
8
9
16
0
0
4
4
4
4
0
4
0
0
0
0
40
0
0
0
2
2
32
5
0
0
0
0
4
4
0
8
16
16
0
8
8
8
0
8
8
8
0
0
0
0
8
0
18
0
16
16
16
0
0
16
16
32
0
0
16
0
0
20
20
20
0
16
16
16
0
0
4
4
2
2
2
19
0
0
4
0
8
0
8
8
8
12
12
16
16
8
8
8
0
0
4
4
0
0
0
0
0
0
0
0
8
48
8
0
8
0
0
8
2
32
8
8
0
0
0
0
0
0
16
8
32
32
32
32
0
0
0
8
8
16
0
0
0
0
8
0
1
32
0
0
0
0
16
0
0
0
16
0
1
4
1
1
0
0
32
8
1
10
10
4
4
4
8
0
8
8
0
0
0
0
16
0
0
0
0
16
16
6
16
0
0
8
9
8
0
0
0
0
0
17
17
0
16
0
0
4
0
0
1
4
4
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
4
0
16
16
0
16
0
0
0
0
20
0
0
0
16
8
0
9
9
4
4
4
4
0
0
2
32
24
4
1
1
20
0
1
1
0
8
8
0
0
8
2
0
0
20
0
2
0
0
8
8
8
0
0
0
0
8
0
0
8
0
0
0
16
16
12
12
0
16
16
16
0
0
0
9
9
9
9
0
0
19
8
8
0
0
24
0
0
0
0
16
0
0
0
0
0
8
0
10
8
8
8
1
16
0
0
0
8
8
4
0
0
0
2
0
0
1
10
10
0
0
0
0
4
8
0
16
2
2
16
0
0
0
0
2
4
0
8
0
0
16
16
16
8
8
8
8
4
4
0
0
0
8
0
4
0
0
0
0
0
0
2
2
1
0
0
16
0
0
0
0
0
8
0
0
24
0
8
8
32
0
16
1
4
0
0
8
8
8
0
0
0
32
8
0
0
0
0
0
0
0
1
4
0
16
0
0
16
10
0
16
0
4
4
16
32
0
0
8
8
0
0
4
4
0
0
0
8
24
0
0
0
0
8
8
8
8
8
0
0
0
0
24
0
0
0
8
8
0
0
0
0
16
8
0
0
0
0
0
1
2
0
0
0
0
0
0
37
0
0
0
0
8
20
8
8
1
0
0
8
0
8
8
0
2
0
0
61
61
16
0
9
8
16
1
0
16
0
0
0
0
0
16
16
8
0
4
8
0
0
0
0
20
0
0
8
8
24
24
24
24
8
0
0
16
2
2
0
32
16
0
0
0
0
0
0
0
32
1
1
8
8
8
0
18
8
8
4
0
0
4
25
16
16
16
0
0
0
0
24
8
8
0
0
0
2
2
0
0
0
0
0
16
16
16
8
8
8
8
0
16
16
8
0
16
8
8
8
8
0
0
0
0
0
8
0
0
3
9
0
0
0
0
19
0
8
12
8
0
0
8
8
0
0
0
0
1
0
16
16
16
16
2
0
2
2
0
0
0
0
0
4
8
18
18
16
8
8
0
32
0
8
8
0
0
0
0
0
0
16
16
1
1
0
8
1
2
0
0
0
1
0
0
4
0
50
0
0
16
17
17
17
17
0
0
0
4
4
57
57
49
0
4
0
32
8
8
4
0
0
16
16
0
8
0
8
8
8
1
1
0
0
8
0
0
0
0
0
0
0
0
4
4
8
8
0
0
24
24
24
24
8
26
26
17
0
8
0
0
2
2
8
0
0
2
0
0
0
0
1
0
8
16
4
0
0
0
0
0
8
0
0
0
0
0
8
4
0
0
0
4
0
0
0
0
24
18
12
12
8
0
17
17
0
0
8
20
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
16
2
4
4
4
32
8
0
32
8
0
8
0
0
8
0
16
0
8
0
0
0
0
1
1
0
16
16
0
0
0
0
0
8
0
0
0
0
0
0
5
8
8
4
1
1
4
4
0
0
0
0
0
4
8
0
0
0
6
6
16
4
16
0
0
0
0
12
12
12
0
4
0
0
0
0
0
6
6
8
0
0
16
1
18
0
16
16
16
8
0
0
0
16
8
8
0
0
0
2
0
2
0
0
1
0
0
0
8
0
0
1
32
32
0
8
0
56
0
0
0
1
0
0
0
0
24
24
0
0
0
0
0
0
16
0
0
0
16
8
9
0
0
0
0
20
0
0
0
0
0
0
0
0
16
8
12
0
0
0
0
0
0
0
0
20
0
0
0
32
4
9
0
8
16
16
8
1
0
10
0
0
0
13
0
0
0
8
0
0
0
0
0
0
0
0
1
0
0
0
0
8
12
12
0
16
16
4
24
16
0
8
16
16
16
0
0
0
0
0
6
0
0
0
4
0
0
0
0
0
0
8
16
0
0
0
8
8
0
8
0
24
0
4
16
0
2
2
2
0
1
1
1
0
0
16
16
16
16
16
0
16
16
16
16
20
0
0
0
0
0
16
16
16
16
0
24
0
0
2
2
8
8
16
8
8
8
8
0
0
0
0
56
0
0
8
0
0
8
16
0
0
0
0
0
8
0
8
0
0
16
0
0
16
0
8
32
0
0
24
0
8
8
8
16
16
0
0
0
8
16
0
0
32
32
32
8
0
0
8
16
0
0
16
0
0
0
0
0
0
8
0
16
2
0
0
0
0
0
0
20
0
0
4
8
0
16
16
0
0
8
0
2
16
16
16
0
0
0
16
0
8
8
8
0
0
0
0
8
0
0
8
0
0
0
0
0
0
8
0
8
0
0
0
32
8
0
16
0
10
16
0
8
16
16
16
0
0
0
0
0
0
8
8
8
8
0
0
0
0
16
0
0
0
16
0
0
0
0
16
8
0
8
6
6
6
6
6
6
0
0
48
0
4
4
0
8
8
0
0
0
2
0
16
50
50
0
0
0
16
8
0
0
0
16
16
0
16
2
2
12
1
16
16
0
0
0
0
0
0
16
16
16
16
16
16
16
0
0
16
0
0
0
0
0
8
32
8
0
0
0
0
16
16
16
16
0
0
0
0
0
0
1
1
1
16
4
0
0
0
9
8
8
0
2
16
0
0
0
0
1
0
0
8
8
8
8
8
0
8
0
0
8
4
8
8
0
0
2
2
0
0
16
16
0
2
2
0
8
0
0
0
1
0
0
0
24
0
0
0
0
8
4
16
8
8
8
4
4
16
0
0
4
0
0
16
0
0
0
0
0
0
0
0
0
16
10
0
0
0
0
0
0
0
8
0
0
0
0
16
0
0
0
9
0
0
0
0
16
16
26
0
0
0
0
0
0
16
8
2
24
0
8
2
4
0
0
0
0
16
16
16
16
16
32
32
32
8
8
8
0
0
8
8
0
0
0
0
0
1
1
4
4
0
0
0
0
0
0
8
16
1
8
8
0
0
0
0
0
0
0
0
0
8
8
0
0
16
16
16
16
16
0
8
0
0
0
0
0
0
4
17
6
8
0
0
0
5
0
0
21
0
16
0
0
0
8
0
0
24
8
8
8
8
8
8
8
1
1
24
0
0
8
0
2
0
0
0
0
0
20
20
36
0
0
0
0
21
0
16
16
8
16
0
0
0
16
0
1
0
0
0
8
0
0
0
0
0
0
0
0
4
4
8
4
8
0
8
2
16
0
8
8
0
0
0
0
16
16
1
0
0
0
0
0
0
0
0
0
0
0
24
0
0
8
0
0
0
16
0
16
0
0
0
1
0
0
1
1
0
0
0
0
0
8
8
0
0
0
4
4
8
0
0
0
0
4
4
8
8
2
0
0
0
0
0
0
0
16
0
0
21
0
0
0
0
0
2
8
8
0
24
0
0
0
8
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
1
12
12
12
12
0
0
8
24
24
0
0
32
32
32
0
0
16
8
0
0
0
0
0
4
0
0
1
16
0
0
0
0
0
0
0
16
16
0
16
16
0
8
4
4
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
20
4
4
4
4
1
1
0
0
3
1
0
0
16
0
0
1
25
0
16
0
0
0
2
1
8
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
4
8
8
8
0
6
6
0
0
0
0
0
0
8
8
8
0
16
0
0
4
4
0
0
0
4
8
20
8
8
0
16
0
0
0
0
0
8
0
0
0
10
1
1
0
0
0
0
0
0
0
0
24
24
0
2
2
0
0
0
58
1
1
1
0
0
18
6
6
8
2
2
0
16
0
0
4
4
0
4
16
0
0
0
0
0
0
0
2
0
8
24
0
8
0
0
0
0
0
16
8
0
0
0
16
16
0
0
0
0
8
8
16
16
16
0
0
8
1
0
17
4
4
1
16
0
16
16
16
0
0
32
32
32
32
32
16
16
16
16
0
0
0
4
0
0
3
3
6
6
8
8
0
0
0
0
0
8
1
16
16
4
0
0
2
2
2
0
0
0
0
0
0
0
0
24
8
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
8
24
8
8
16
16
16
16
16
16
0
0
1
0
0
8
8
8
1
16
0
0
0
16
5
5
3
3
3
1
0
0
16
21
21
21
0
0
32
0
0
0
8
8
0
8
0
8
1
0
8
0
0
16
16
0
4
8
8
0
0
4
0
0
0
0
0
24
24
0
0
16
0
0
16
0
0
1
0
0
0
16
16
0
16
8
8
8
0
8
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
8
8
32
0
0
8
0
0
8
8
8
0
0
0
0
0
16
16
16
8
16
16
0
0
0
2
0
0
0
17
8
0
8
0
8
8
0
8
0
8
4
36
0
0
8
8
8
0
0
0
0
0
0
2
2
0
0
0
0
0
41
0
0
0
0
0
8
8
4
4
0
16
0
1
1
0
20
20
0
0
0
0
0
8
4
8
1
5
5
8
8
20
0
0
0
4
4
17
0
0
0
0
16
8
0
8
0
0
0
0
0
0
8
4
3
3
0
0
0
0
0
0
0
0
0
0
24
0
4
8
0
0
0
16
0
0
0
0
0
8
16
16
16
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
8
0
0
0
0
0
8
4
16
0
4
9
8
0
0
0
4
4
4
4
8
8
8
8
8
8
8
0
4
0
2
16
16
0
0
0
0
0
0
2
0
0
0
1
32
40
8
4
1
1
1
1
0
2
8
16
0
0
0
0
0
1
33
20
20
0
0
0
16
16
0
0
16
16
0
0
0
8
8
0
8
16
0
16
8
0
0
8
0
0
0
0
16
2
2
2
0
19
0
0
16
16
0
16
0
8
8
0
0
0
0
0
0
8
2
2
0
0
0
8
0
0
0
8
0
0
0
0
1
16
0
0
20
16
0
0
16
16
8
8
8
8
0
0
0
4
2
0
0
8
8
8
0
0
0
0
0
4
9
0
0
0
0
0
0
0
0
0
0
0
0
16
20
0
0
0
8
0
0
0
12
3
0
16
8
0
0
0
0
8
12
12
12
12
16
0
0
0
8
16
0
0
18
0
8
0
4
0
0
0
0
0
8
4
8
0
18
18
0
9
0
9
4
0
0
0
0
18
18
8
4
0
0
8
0
0
0
0
0
0
0
0
0
0
18
0
0
2
12
0
0
0
4
4
4
4
0
0
0
0
0
40
2
0
0
0
16
2
0
0
16
0
0
16
16
40
40
12
0
8
3
16
0
2
0
16
1
1
1
1
0
8
0
1
0
0
0
0
8
17
0
0
0
0
0
0
0
16
16
16
20
16
0
8
8
32
12
8
0
8
0
0
0
8
0
0
0
16
16
0
16
16
16
0
16
16
16
16
0
0
16
0
1
0
28
28
0
16
0
0
0
1
1
0
0
0
4
0
0
0
0
16
16
16
1
0
16
0
16
0
8
0
0
0
0
8
8
8
8
12
0
0
0
0
4
4
4
4
0
0
16
0
0
16
4
0
0
0
0
0
1
8
0
0
2
2
8
8
8
8
8
8
8
0
8
8
10
4
0
8
8
8
8
0
0
1
8
0
0
32
32
0
0
16
0
16
16
0
17
0
0
1
0
0
8
16
8
8
8
8
0
2
0
0
0
8
16
7
7
7
1
8
20
0
0
0
0
8
0
0
8
8
16
16
1
1
1
16
0
8
24
0
0
0
0
32
0
14
0
0
4
0
0
3
3
3
0
0
0
8
8
0
0
16
16
0
0
0
0
0
1
0
0
8
0
0
0
1
4
16
16
16
8
0
0
0
16
0
0
0
0
24
0
0
0
0
0
56
40
0
0
0
0
0
0
0
0
0
0
4
4
16
0
0
0
0
0
0
0
0
0
8
8
1
0
0
0
0
0
16
8
2
2
2
0
0
0
0
0
16
8
0
0
32
32
4
8
8
16
0
0
4
0
0
16
0
0
0
0
16
0
8
0
0
3
20
16
16
16
4
20
20
0
0
19
12
2
2
0
8
0
1
8
8
0
0
0
0
4
16
16
1
1
1
1
1
1
16
0
16
8
16
8
0
0
0
0
0
0
19
19
8
16
0
0
8
0
0
0
1
8
0
2
25
1
4
0
0
2
16
24
24
24
24
0
0
0
0
0
8
0
32
32
0
8
8
8
1
0
24
0
0
0
0
16
8
0
0
0
0
0
0
4
4
0
0
27
27
0
0
18
18
18
0
1
1
0
0
40
8
0
0
0
0
0
0
16
0
0
0
0
16
0
0
0
0
0
4
8
8
13
16
0
0
8
0
0
4
4
0
16
0
0
0
4
4
0
1
0
0
0
0
1
0
6
6
0
1
0
0
0
3
0
0
0
0
0
0
0
0
4
0
0
4
16
8
57
8
0
0
1
21
21
0
0
4
0
8
16
16
0
0
8
8
8
1
0
0
0
0
8
0
0
0
0
0
0
0
16
0
4
4
1
8
1
1
8
0
1
1
0
0
0
0
0
1
0
16
0
0
0
1
22
22
22
22
22
22
0
0
0
1
0
8
8
8
16
0
0
8
0
0
12
12
41
16
8
16
16
1
1
24
0
16
0
0
0
0
0
16
0
0
16
4
0
0
0
0
0
0
8
8
0
0
0
2
24
24
24
24
0
0
32
0
0
16
16
0
0
0
0
1
16
0
0
0
0
0
0
0
0
56
4
0
0
0
32
0
16
0
0
0
0
8
24
24
24
8
8
8
0
2
8
0
0
0
0
0
0
2
0
16
16
1
9
16
16
8
8
5
0
0
0
0
4
0
0
0
0
0
8
8
8
20
16
0
8
8
8
4
0
0
0
1
32
1
0
0
0
0
16
16
16
0
0
0
0
0
0
0
0
16
16
0
0
4
14
0
40
40
0
0
4
2
0
2
0
0
32
24
0
0
20
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
8
10
0
0
0
16
25
1
1
1
0
4
0
16
0
0
0
0
4
8
0
1
1
1
1
1
2
0
0
0
0
0
0
0
0
0
2
2
2
2
0
0
0
0
0
0
0
9
0
0
20
20
24
16
16
16
0
2
0
0
16
8
2
16
16
16
0
0
0
0
0
0
16
16
16
0
0
4
0
0
1
0
0
20
20
0
0
0
8
16
24
0
0
8
0
8
1
8
0
0
0
0
0
0
32
24
0
0
0
16
1
0
8
8
0
0
8
0
0
0
17
17
16
0
0
8
8
0
0
0
0
0
0
52
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
24
0
0
0
8
0
0
0
0
24
0
0
0
16
0
0
0
8
0
0
8
8
0
0
0
0
0
0
0
16
0
2
0
8
0
0
0
0
0
0
0
5
16
0
0
0
8
0
0
24
24
0
0
8
0
0
0
8
25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
16
0
0
0
2
0
8
8
12
0
0
0
0
0
0
0
0
0
0
8
0
0
0
24
0
0
0
0
0
0
8
0
4
0
0
0
0
16
0
16
0
16
8
8
8
0
8
0
16
16
16
16
16
16
16
16
16
0
0
0
4
0
0
16
0
8
0
8
0
16
16
16
0
0
0
0
4
0
0
0
0
20
0
8
8
2
8
8
0
0
1
16
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
11
0
0
0
8
0
0
6
0
8
8
8
8
0
0
0
0
0
0
0
17
17
8
0
0
0
0
0
0
0
0
0
12
0
0
0
16
8
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
18
16
0
2
0
0
0
0
0
4
8
16
0
0
0
10
10
10
7
0
0
0
4
0
0
0
0
0
0
0
16
0
0
0
0
0
8
0
0
0
8
26
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
1
1
0
0
0
0
0
0
0
0
24
8
0
2
1
0
20
0
0
0
0
8
0
0
16
0
0
16
16
0
0
0
0
0
8
0
0
4
4
0
0
0
8
0
8
8
0
0
0
20
0
0
4
0
2
2
0
16
0
0
0
0
0
0
32
10
0
0
0
0
0
8
8
0
8
0
0
8
8
0
0
0
4
10
0
0
0
0
0
0
0
0
0
0
16
8
8
16
0
0
8
8
0
1
16
16
0
0
8
8
8
0
4
0
24
0
20
20
20
20
0
4
0
0
16
16
0
0
0
0
0
8
0
0
8
60
0
8
0
48
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
16
16
0
0
0
16
0
0
0
0
0
8
0
8
16
0
0
8
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
9
8
8
0
0
0
1
1
16
0
0
8
8
0
16
16
16
0
0
0
0
0
0
0
0
8
1
0
1
1
0
0
8
8
8
8
1
0
0
0
0
0
0
0
0
4
8
0
0
0
0
4
0
0
0
0
0
0
0
4
0
0
0
4
0
0
0
0
0
16
16
16
0
0
0
16
0
0
4
0
0
57
0
8
0
0
0
0
0
0
17
16
16
0
0
16
16
4
9
0
0
0
0
0
4
0
0
24
34
0
0
16
16
16
0
0
25
0
0
0
0
8
0
0
8
2
2
2
2
0
8
12
0
0
0
0
8
0
0
0
0
0
0
0
8
8
0
8
8
0
0
0
0
16
4
8
0
8
8
2
16
8
16
0
32
0
8
0
0
4
0
0
0
0
8
0
0
0
0
0
0
16
8
0
8
8
8
0
0
0
24
0
0
0
0
0
0
0
0
8
0
0
0
0
0
24
0
1
0
0
0
16
0
0
0
0
0
8
0
0
0
4
0
0
0
0
8
8
8
0
0
24
8
0
0
0
6
0
0
8
2
0
0
1
57
57
8
8
8
57
8
4
16
0
0
49
0
0
0
0
0
0
8
8
8
0
0
0
0
6
6
6
0
0
4
0
4
16
1
1
0
0
8
8
4
4
0
0
16
16
16
16
0
0
0
16
16
0
4
0
0
16
16
0
4
0
0
16
2
2
2
8
0
0
40
40
40
1
1
2
0
0
0
6
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
4
8
20
24
0
0
0
0
0
0
0
0
0
4
16
0
0
0
0
16
0
0
0
8
8
8
16
0
0
32
0
0
0
0
0
0
0
0
0
0
0
0
0
0
12
0
0
0
0
16
8
16
0
0
16
0
8
29
29
0
0
0
0
0
8
0
0
0
0
0
0
0
0
20
20
0
0
16
0
0
0
8
0
0
8
16
8
0
0
0
0
0
0
0
12
0
0
16
1
1
0
0
0
0
0
8
0
8
0
0
16
0
8
0
0
0
12
12
1
0
57
0
25
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
8
8
0
0
0
16
0
1
0
0
0
0
0
0
0
8
0
24
24
0
0
0
0
16
4
0
0
8
0
4
0
0
0
9
0
4
0
0
16
0
16
16
0
0
0
0
8
4
4
0
8
0
0
0
0
0
0
4
40
40
40
0
0
0
0
0
0
0
2
16
0
0
0
0
0
0
19
0
4
0
0
0
0
0
8
8
4
0
0
6
6
6
0
12
12
32
4
4
1
0
0
0
0
8
0
24
0
0
8
0
2
0
8
32
8
0
0
2
8
2
0
0
0
8
0
16
4
4
4
0
32
0
4
0
16
0
3
0
0
16
0
16
0
0
0
0
0
0
0
0
1
1
0
0
17
0
26
8
0
0
8
0
8
8
0
0
0
0
0
0
0
0
4
4
4
8
0
0
0
0
0
0
0
20
0
2
16
17
0
0
0
8
16
0
0
24
17
0
0
8
0
0
0
0
0
8
8
0
0
30
0
1
0
0
0
0
0
0
8
8
8
0
2
0
8
2
0
0
8
4
0
0
0
0
16
0
8
0
4
0
0
0
0
0
24
0
8
0
0
0
0
4
0
0
0
0
0
0
0
8
0
0
0
0
0
0
18
0
0
8
25
0
32
8
0
0
0
8
8
4
0
0
0
16
8
0
0
0
8
0
0
8
0
16
8
0
1
0
0
0
2
0
8
0
0
8
0
0
8
8
0
0
2
8
0
0
3
3
0
32
0
0
28
0
8
20
16
16
16
0
0
8
0
8
0
0
0
2
0
0
0
0
16
16
0
0
0
4
4
8
3
16
0
2
0
14
14
0
0
0
2
2
0
0
0
16
16
20
20
0
0
0
8
0
0
4
0
8
0
16
8
8
0
0
0
0
0
2
0
2
8
8
0
0
0
0
8
2
0
24
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
12
0
0
0
0
0
0
0
0
0
8
0
0
0
0
32
0
0
9
0
0
0
16
16
16
4
32
0
0
0
0
8
0
0
0
0
0
0
4
0
0
1
0
22
16
0
0
0
0
0
0
0
0
8
0
8
8
8
0
0
16
0
0
0
0
0
0
0
0
0
16
0
8
0
0
1
0
0
0
2
0
0
0
0
0
0
16
0
0
4
48
43
43
0
4
0
0
0
28
16
0
0
0
0
16
16
0
0
0
8
16
16
16
0
0
0
0
8
0
0
0
0
0
2
0
0
0
0
0
16
16
0
0
0
0
0
16
16
16
16
0
4
8
8
8
0
0
5
24
0
0
0
0
10
0
4
4
4
4
0
0
0
0
2
8
0
0
8
0
4
4
1
0
0
8
16
0
9
0
0
0
0
0
2
0
0
0
0
0
0
8
8
0
2
0
0
28
28
28
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
16
16
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
8
0
0
8
24
0
0
0
0
0
0
0
0
8
0
0
0
0
16
0
0
0
0
0
0
32
0
0
0
0
0
0
0
0
0
8
4
0
0
0
0
0
8
6
8
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
24
24
0
0
0
0
0
0
0
25
0
0
0
8
8
2
0
8
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
16
16
0
0
0
0
0
0
0
0
0
0
0
4
4
0
0
0
0
8
8
0
8
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
4
4
4
0
0
40
40
40
0
8
0
6
0
6
0
0
0
0
1
0
0
0
24
24
0
0
16
8
0
0
0
0
0
0
0
0
0
0
8
16
16
0
0
0
0
0
16
16
0
0
0
0
0
8
0
0
0
16
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
16
0
0
0
0
0
8
0
0
0
0
0
0
8
16
16
0
0
0
0
0
8
8
23
23
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
8
0
0
16
0
8
0
16
0
16
0
0
8
0
0
16
8
0
0
0
0
0
24
0
1
16
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
24
0
0
0
0
0
0
0
16
16
16
0
8
0
0
0
0
0
4
0
16
0
16
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
21
0
0
27
0
0
0
0
16
0
0
8
0
0
0
0
0
0
0
0
16
16
0
4
0
8
16
16
0
0
0
0
8
16
16
0
0
0
0
0
0
0
0
4
2
16
16
0
0
0
0
0
0
8
8
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
24
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
8
16
0
0
4
16
16
16
0
8
8
8
16
16
0
0
0
20
1
0
0
0
0
8
8
0
0
0
0
0
0
16
0
0
32
0
0
0
41
41
0
0
0
0
0
0
3
0
0
0
8
0
0
0
1
0
0
0
0
16
0
0
8
0
16
8
4
0
0
0
0
16
16
0
12
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
8
0
0
8
0
0
0
12
8
0
0
16
0
17
17
0
17
0
0
0
0
7
0
0
0
12
12
8
0
0
0
0
0
0
0
1
0
0
0
0
16
16
4
25
0
0
8
0
0
0
0
8
0
0
0
8
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
1
24
0
0
0
0
0
0
1
1
0
0
4
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
9
0
0
0
0
0
16
2
0
0
16
0
0
0
4
0
8
8
0
4
0
0
0
0
0
0
0
16
0
0
0
16
0
0
0
0
0
0
0
0
0
2
2
2
2
0
0
4
4
0
8
8
8
8
0
0
0
20
20
0
0
20
0
0
0
0
0
0
0
0
0
0
0
0
0
0
5
5
5
5
5
0
0
0
0
0
0
0
0
0
32
32
0
8
0
0
0
0
8
0
0
8
0
0
16
0
0
0
0
0
0
4
0
0
0
0
0
0
8
8
8
0
0
16
0
6
0
0
1
1
1
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
8
0
0
0
25
25
0
0
0
0
16
16
0
0
24
1
16
0
0
0
0
0
0
20
0
8
16
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
1
1
0
0
0
16
0
0
0
0
0
0
24
0
4
0
0
16
0
0
0
0
0
9
0
0
16
16
16
0
4
0
0
0
0
0
0
0
0
0
8
8
0
0
28
28
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
49
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
16
16
8
8
0
0
0
0
0
0
0
0
0
8
0
0
0
0
8
0
0
0
0
0
0
0
0
0
16
8
1
0
0
0
0
0
0
0
0
0
0
0
16
1
8
0
0
0
0
0
0
4
16
24
0
2
0
0
0
0
0
8
0
0
8
0
0
12
8
37
0
0
0
0
0
0
8
0
0
0
8
0
0
0
0
8
0
0
0
8
8
0
0
0
2
0
0
0
0
10
0
0
0
4
4
8
0
4
4
8
0
0
4
0
0
5
0
0
0
0
0
0
0
0
2
0
0
0
30
8
8
0
0
0
0
0
0
0
16
22
0
25
0
0
16
16
0
8
16
2
0
0
0
16
0
19
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
8
0
16
0
0
0
0
0
0
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
16
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
8
0
4
4
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
28
0
0
0
0
18
0
0
0
0
0
0
4
0
0
0
0
0
8
0
32
32
32
0
0
16
16
16
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
8
0
0
0
0
0
0
8
20
0
2
2
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
8
0
0
0
0
0
0
0
0
2
2
0
4
4
0
0
0
0
0
2
2
8
0
0
0
0
0
0
0
0
0
4
0
0
0
24
24
24
0
0
0
0
0
0
0
0
1
0
2
8
0
0
0
0
0
0
0
0
0
0
0
16
0
12
4
8
0
0
0
0
0
0
8
0
0
0
0
0
0
16
0
0
0
0
16
0
8
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
14
14
0
0
0
0
0
0
0
1
0
0
0
0
0
0
8
0
0
0
24
0
0
0
0
0
0
0
16
16
8
8
0
0
0
0
0
4
16
0
2
0
0
0
0
0
8
0
0
0
0
0
0
0
25
0
0
0
0
0
1
1
0
0
0
0
0
0
16
16
16
0
0
0
0
0
1
0
0
0
8
0
0
8
8
0
0
0
0
0
0
0
0
0
16
0
0
0
0
8
0
0
0
16
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
8
0
0
0
8
0
0
16
16
0
40
40
8
0
0
0
0
0
0
0
0
0
0
8
16
16
24
24
0
0
16
0
0
8
8
8
0
0
0
0
8
8
8
0
0
16
0
0
0
17
8
0
0
0
0
0
0
0
8
42
42
0
0
0
0
0
22
22
0
0
8
8
0
0
16
0
0
0
0
0
0
0
50
0
0
8
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
3
3
3
0
0
0
0
24
24
24
24
8
0
0
0
0
6
6
0
20
20
0
0
34
34
34
34
0
0
8
0
0
0
2
0
0
0
0
0
0
8
0
0
0
0
0
20
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
8
0
0
8
0
0
0
0
0
0
8
4
0
0
0
16
0
8
0
0
0
8
8
0
0
16
16
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
1
3
0
0
0
0
0
0
0
0
0
8
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
60
8
4
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
33
0
0
2
0
0
0
0
0
0
0
49
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
2
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
4
16
8
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
8
0
2
9
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
16
0
0
0
8
8
8
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
16
0
0
16
16
0
0
2
0
2
8
0
16
0
16
16
0
0
33
4
0
0
0
0
0
0
0
0
0
0
0
0
8
8
24
24
0
4
1
0
8
8
8
8
0
0
12
0
0
0
0
0
0
16
16
0
0
0
4
32
0
0
25
16
0
0
16
16
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
0
0
0
0
0
0
0
0
32
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
16
8
20
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
2
8
0
0
0
0
6
0
0
16
8
0
0
4
0
0
0
0
0
0
1
0
0
0
0
0
0
8
8
8
0
0
8
8
8
8
0
0
8
8
16
0
0
16
0
0
0
0
0
0
57
2
0
0
0
0
0
8
0
0
4
4
4
4
16
16
42
42
42
0
0
0
0
0
0
0
0
0
0
0
16
12
16
0
8
4
18
0
0
0
0
4
4
0
0
4
0
0
0
8
0
0
0
8
24
0
0
0
16
24
24
24
1
0
0
0
16
40
0
48
16
8
8
24
0
0
0
32
32
32
0
0
0
0
0
0
8
8
0
0
0
0
4
0
0
0
1
0
0
2
0
0
0
0
0
0
0
24
24
0
16
16
2
8
8
0
0
0
4
0
0
8
0
0
1
0
8
32
0
17
8
2
28
0
0
0
0
8
20
0
0
16
16
0
0
0
0
0
16
0
0
8
2
0
0
0
0
0
16
0
0
0
0
0
8
0
4
4
0
8
0
0
33
0
0
16
0
6
6
16
8
0
56
56
56
0
0
0
2
0
8
0
0
0
8
0
0
8
0
0
0
4
4
8
8
0
8
1
1
1
0
8
4
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
8
0
4
4
0
0
16
8
0
4
0
8
0
0
0
0
0
0
0
1
0
0
0
0
2
16
4
0
0
0
0
0
0
0
0
0
8
0
24
8
20
16
8
8
0
0
8
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
8
8
0
0
24
16
0
0
16
0
0
8
8
0
0
0
0
16
0
0
0
0
0
16
4
1
0
0
16
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
8
8
8
0
8
8
0
0
8
0
1
0
0
0
0
0
0
0
18
16
0
0
0
0
8
0
0
8
0
8
8
8
0
8
8
1
1
8
0
0
0
0
16
16
16
16
0
0
8
0
0
0
0
16
16
1
1
28
28
28
8
8
0
28
0
0
0
0
2
0
16
0
0
0
16
16
8
0
0
8
0
4
4
0
0
0
0
21
0
0
4
4
8
0
0
0
20
2
0
0
0
0
0
0
0
0
1
0
0
0
16
0
2
0
8
0
8
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
16
0
0
0
0
10
0
0
0
0
8
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
32
0
0
8
16
0
0
0
0
0
0
0
0
33
33
0
0
0
0
0
8
8
8
0
0
0
1
0
20
16
0
0
16
0
8
0
8
0
0
0
0
0
0
0
0
0
2
0
0
0
16
16
0
0
0
0
0
0
0
0
0
16
4
8
8
12
0
0
20
16
0
0
16
0
0
0
8
0
8
0
16
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
0
0
0
0
34
0
0
0
0
0
16
8
8
12
0
0
8
0
8
0
32
0
0
0
22
22
0
0
0
8
0
8
0
1
24
0
0
0
8
56
0
0
0
0
0
0
0
4
0
0
0
0
12
0
0
0
0
0
0
0
4
4
4
0
0
16
0
0
0
24
0
0
19
19
0
0
0
0
0
8
0
8
0
0
0
0
0
1
4
0
0
0
33
0
0
0
16
8
0
0
0
0
0
24
0
0
0
16
0
1
0
0
0
0
0
0
0
8
8
0
0
16
10
0
16
0
0
0
24
4
4
4
4
0
0
0
8
8
8
0
0
16
0
4
0
0
16
8
0
0
0
4
4
8
0
0
0
0
0
0
0
8
8
0
0
8
0
0
0
0
4
0
0
8
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
8
16
0
24
8
13
24
0
0
0
0
0
0
0
8
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
8
0
8
8
10
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
16
0
0
0
8
8
8
8
8
16
0
0
0
0
1
8
0
9
0
0
4
0
0
0
0
0
0
16
16
16
0
0
0
0
1
0
0
0
0
25
0
0
8
4
0
12
8
0
0
0
0
0
0
0
20
0
0
0
0
0
0
0
0
16
8
0
0
0
0
0
0
0
0
0
16
0
24
30
18
8
8
0
0
0
16
0
0
0
16
0
0
16
0
0
0
16
16
16
16
0
0
0
24
0
16
0
0
0
2
0
0
16
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
8
8
0
0
0
0
34
0
0
0
0
0
0
0
0
0
32
16
1
0
10
0
0
0
1
8
0
0
0
0
0
2
0
0
4
0
0
0
24
0
0
0
0
8
0
0
0
8
0
0
8
0
1
1
1
0
0
16
16
0
0
16
0
0
0
0
0
30
0
1
0
0
0
0
0
0
16
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
16
17
0
0
0
0
4
0
0
0
17
0
4
4
4
0
0
0
0
0
0
5
0
0
16
0
4
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
16
0
0
8
8
8
0
24
8
0
0
2
0
0
0
0
0
4
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
24
0
8
8
16
16
0
0
25
25
0
0
0
16
0
1
0
0
0
0
0
0
0
4
0
0
0
0
16
16
0
0
0
4
0
0
16
0
0
0
8
8
8
0
0
8
0
0
0
0
4
4
16
0
0
0
0
0
0
0
0
0
0
1
16
0
8
0
0
0
0
20
0
0
0
0
0
0
8
8
8
5
0
0
0
0
0
0
0
0
0
0
8
8
1
0
0
0
0
0
0
12
9
0
0
10
8
8
8
0
0
0
4
0
0
0
0
0
0
4
0
8
0
0
0
0
0
0
0
0
0
2
16
16
0
0
0
0
0
0
8
8
8
0
28
0
0
0
4
0
8
0
0
4
24
0
23
0
8
0
8
8
0
18
4
4
0
0
48
48
48
0
16
0
8
0
0
0
8
0
0
0
24
8
2
0
0
0
0
4
2
0
0
0
0
8
0
0
8
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
16
16
0
0
16
0
24
0
0
0
0
0
4
8
0
4
4
0
16
0
0
2
0
0
16
0
0
0
0
0
0
0
8
8
0
0
4
4
0
0
0
8
8
16
0
16
0
16
8
0
0
9
0
0
0
0
0
0
0
0
0
5
32
0
0
0
0
16
7
0
0
0
24
0
0
0
9
0
0
0
0
0
0
0
0
0
0
1
0
28
28
28
0
0
25
4
4
16
0
4
2
0
0
0
16
16
0
16
16
16
0
0
0
0
2
2
1
16
0
8
0
0
16
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
8
0
16
0
0
0
0
29
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
8
16
2
8
0
0
8
8
2
2
0
0
0
0
0
16
4
0
0
0
8
8
0
0
0
0
0
0
8
8
0
4
8
2
0
4
0
0
16
16
8
0
0
2
4
0
0
0
0
0
0
0
0
4
8
8
0
8
0
2
0
24
1
1
0
0
8
8
0
8
4
8
16
4
16
16
8
8
8
0
0
0
0
0
0
0
0
8
0
0
0
0
4
0
16
16
4
16
16
16
0
0
0
10
0
0
0
0
16
16
0
0
0
0
0
16
0
16
0
0
4
4
0
0
0
0
0
0
1
8
2
16
0
0
0
16
0
8
0
8
0
25
0
4
0
0
0
4
0
0
0
0
16
0
26
9
0
0
1
1
8
8
8
0
0
18
8
8
2
25
8
0
16
16
8
8
8
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
5
5
0
16
0
0
0
0
0
0
0
16
0
24
24
8
0
0
0
0
8
0
0
0
0
0
0
16
16
0
8
16
0
0
8
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
16
0
16
16
16
16
0
0
2
8
0
8
8
0
0
0
0
16
0
0
0
16
16
16
16
48
8
0
16
0
16
8
8
8
0
8
52
0
0
0
0
0
0
0
0
2
8
12
0
0
23
8
0
0
0
0
0
0
8
0
4
8
8
0
0
0
0
6
4
4
8
0
0
0
0
0
0
0
4
4
0
0
8
0
8
0
1
1
0
32
32
32
0
16
0
0
0
9
0
0
16
8
8
4
0
0
0
16
0
16
16
0
0
4
0
0
0
8
8
16
24
24
24
0
2
16
0
0
16
16
16
0
0
0
0
0
0
1
8
0
0
0
0
60
16
0
8
8
8
8
0
0
0
0
16
0
8
8
0
8
8
1
1
0
0
0
8
0
4
20
8
0
0
0
0
8
0
0
8
8
8
8
16
0
0
0
0
0
0
0
8
0
0
0
16
16
1
8
0
0
0
0
8
0
0
4
0
8
0
0
0
0
0
0
0
0
0
4
8
0
32
0
8
8
0
0
0
0
32
32
0
0
0
0
8
0
0
0
0
16
0
0
0
0
0
0
0
0
0
7
16
0
0
0
0
0
0
20
20
0
0
0
0
0
0
0
16
0
16
24
0
0
0
0
8
0
0
8
0
0
0
0
0
0
0
0
4
8
0
8
8
0
0
0
0
4
0
3
3
0
0
0
0
8
0
0
0
0
8
5
32
0
0
0
24
8
0
4
0
0
0
0
21
8
0
8
16
0
0
16
8
17
0
12
0
0
20
0
9
0
8
0
8
0
8
16
16
17
17
17
0
0
0
0
8
1
1
0
8
8
0
0
0
0
0
0
20
20
16
0
0
0
1
8
4
16
8
0
0
0
8
0
0
8
0
0
0
16
16
0
0
8
0
1
1
1
0
0
0
0
0
8
8
8
8
0
0
0
0
0
0
37
8
8
8
8
0
0
16
0
0
0
0
8
0
8
8
0
8
8
0
0
8
8
8
8
8
8
4
18
0
8
0
0
0
2
2
2
2
2
2
8
8
0
0
0
8
10
17
17
0
8
0
0
20
20
20
0
0
8
16
0
16
8
8
16
8
8
1
1
24
24
0
8
6
0
0
4
0
0
0
0
0
0
8
0
0
0
16
4
4
8
0
0
8
8
8
4
19
0
16
1
0
0
8
0
8
0
16
0
0
0
0
0
8
4
8
8
0
34
0
0
0
8
8
8
8
0
0
1
1
0
0
25
25
8
8
8
0
0
16
2
0
0
0
8
0
8
8
8
8
0
0
8
16
0
0
0
0
0
8
0
0
8
16
8
16
16
32
8
8
0
0
4
8
8
8
8
0
8
0
0
0
0
0
0
0
0
8
0
0
48
8
0
0
0
0
0
0
0
0
0
0
0
0
0
32
0
0
1
8
32
0
4
0
0
48
48
0
8
0
0
0
0
24
0
0
8
2
0
16
16
8
16
0
16
4
0
8
0
0
0
0
0
0
0
16
16
16
1
0
0
0
0
0
0
1
0
0
0
8
4
0
2
16
16
16
16
0
0
0
0
4
0
0
0
0
0
4
0
0
21
0
0
0
1
8
0
0
0
16
0
0
0
0
0
0
4
4
8
8
18
18
18
0
4
4
4
4
0
0
28
28
28
28
28
8
0
0
0
0
0
16
8
8
37
1
0
0
24
8
0
0
0
8
8
4
4
0
0
0
0
0
0
8
0
8
0
0
0
0
4
4
8
8
8
0
8
8
8
8
0
0
0
16
8
0
8
0
9
2
1
2
4
0
0
32
16
16
16
16
8
1
0
8
8
12
0
2
0
0
0
0
0
0
0
0
1
1
16
16
16
0
0
0
0
0
0
0
0
8
0
0
16
0
0
16
0
8
24
0
18
0
0
16
0
0
0
0
8
21
8
0
0
4
4
0
0
0
0
0
8
8
0
0
0
0
0
0
0
16
0
0
0
22
9
0
0
0
1
0
0
0
4
0
0
0
8
8
8
1
0
0
0
16
0
0
16
16
16
0
5
5
0
0
8
0
2
0
0
0
2
4
4
0
0
0
8
8
16
0
0
0
0
0
8
0
0
0
0
0
0
0
4
16
16
0
16
0
1
0
0
0
0
0
1
16
0
32
12
0
0
0
0
0
0
0
0
18
18
8
16
1
0
17
0
0
0
0
32
0
16
0
0
0
0
0
0
2
0
4
0
2
8
0
0
10
10
10
16
0
8
0
0
4
0
0
0
0
0
0
0
16
0
0
0
8
8
0
0
0
1
1
0
0
16
16
4
8
0
16
0
0
0
1
16
16
0
0
0
0
0
0
8
16
17
17
18
18
16
8
1
0
0
8
0
0
0
0
0
4
0
16
16
6
0
0
0
0
0
0
0
16
4
16
0
0
8
8
8
1
16
0
0
0
0
0
8
0
0
0
8
8
0
0
0
0
0
4
0
0
0
0
0
16
0
0
8
4
0
0
0
12
24
1
1
0
8
8
0
0
0
0
2
0
0
12
12
0
9
9
9
9
9
9
36
36
36
36
24
16
0
0
0
8
8
0
0
8
8
0
12
0
0
0
45
4
2
0
0
0
8
9
8
8
8
0
0
0
0
0
8
4
0
16
0
0
2
2
16
0
8
8
8
0
8
8
8
8
48
48
0
0
4
0
0
0
0
6
6
6
0
0
0
0
0
0
0
24
8
16
0
8
8
0
4
4
4
0
0
4
0
0
16
16
16
4
0
8
8
8
8
12
2
2
0
8
16
8
1
0
0
2
8
1
0
0
0
8
0
8
0
0
0
0
0
0
0
0
14
16
16
0
0
0
0
8
0
0
0
0
0
0
0
0
0
8
1
16
0
0
0
0
0
16
16
16
16
16
8
8
0
8
0
0
0
0
0
0
0
0
8
8
34
34
8
0
48
0
0
8
1
8
0
0
8
0
0
0
0
0
16
0
0
1
56
0
0
16
16
16
32
0
4
24
0
24
8
1
8
0
0
20
8
0
16
0
0
4
8
8
16
0
1
1
4
8
8
12
0
8
0
0
0
0
0
0
24
24
24
24
1
0
0
0
0
0
0
16
0
0
5
4
0
0
0
8
8
0
0
0
0
8
8
0
0
10
0
0
0
0
0
0
0
4
0
0
8
0
0
0
0
4
0
0
2
0
0
0
8
0
0
0
0
16
11
0
4
4
0
16
16
0
17
1
2
8
16
16
16
16
16
16
0
0
0
8
8
0
12
0
8
0
4
0
8
0
16
2
0
0
0
0
8
34
0
8
8
8
8
0
0
0
0
0
0
26
0
0
8
0
0
2
0
0
0
0
0
0
8
4
4
0
4
0
18
0
0
0
0
0
1
0
0
16
0
0
0
4
0
0
16
0
2
0
0
4
12
8
0
0
0
0
0
0
0
0
0
8
8
0
16
16
16
4
25
8
2
2
2
2
2
2
0
0
0
0
0
2
2
0
4
0
0
12
0
8
16
0
0
8
8
12
0
0
8
8
8
0
4
0
0
0
4
8
0
16
1
1
0
16
0
0
0
0
0
0
0
0
0
0
4
0
0
16
0
0
4
0
0
24
0
0
0
6
4
0
0
0
0
0
8
0
25
25
0
8
8
0
0
0
0
0
0
0
0
0
2
2
8
8
0
24
1
0
2
0
0
4
0
4
4
8
0
16
0
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
0
56
4
0
0
16
8
8
0
0
0
36
0
4
8
0
8
8
8
8
8
0
9
0
0
8
0
0
0
0
0
16
6
0
0
0
0
0
0
0
0
8
20
0
0
0
8
16
9
9
0
0
6
22
22
0
0
0
0
0
0
4
0
0
6
2
8
2
34
34
0
0
0
0
8
8
8
0
0
16
8
8
0
8
8
8
0
2
2
0
4
4
16
2
0
8
16
18
16
4
4
0
32
0
0
0
0
0
0
0
8
0
8
0
0
0
0
0
0
2
0
8
0
8
0
0
0
16
0
0
0
0
25
12
12
0
0
0
8
0
28
0
0
0
0
0
0
8
0
0
0
0
0
8
8
8
8
0
0
0
0
0
0
0
0
2
2
0
0
0
16
16
16
16
16
16
16
16
16
0
0
0
24
0
0
0
0
0
0
0
0
48
24
0
0
1
1
1
8
0
2
0
8
0
0
0
1
0
16
0
0
0
8
0
0
16
16
16
16
40
40
4
4
16
8
0
0
24
0
0
0
0
0
0
0
8
16
16
16
32
0
0
0
0
8
8
0
0
0
0
16
0
16
1
1
12
16
16
0
0
0
0
24
8
0
0
0
0
0
18
0
8
8
8
8
8
4
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
24
0
1
0
16
0
0
8
4
4
0
0
0
0
0
8
8
0
0
0
0
2
2
16
0
0
0
16
0
1
1
24
24
8
8
0
0
0
0
16
16
16
16
4
0
0
8
0
0
1
4
8
0
0
0
0
0
0
0
0
0
0
0
16
0
2
0
8
8
8
0
16
0
1
8
24
0
0
16
0
0
20
16
0
0
1
14
1
0
0
4
0
8
8
0
0
0
4
0
0
0
0
8
0
16
1
4
8
0
0
24
4
8
2
16
0
0
16
16
0
0
20
0
0
4
0
0
0
0
2
2
1
0
8
0
16
0
0
0
0
0
0
2
0
8
4
4
0
0
0
8
8
8
0
0
0
0
0
0
8
16
16
16
32
8
8
8
4
0
8
0
4
4
0
9
0
32
0
17
0
0
18
8
4
0
16
0
0
0
0
0
0
0
0
16
16
0
28
0
8
0
0
0
4
16
16
0
0
8
0
0
0
0
0
8
0
16
16
0
0
0
0
1
0
24
0
0
4
0
0
2
0
8
1
8
0
8
0
0
0
0
4
0
0
32
0
0
0
0
0
0
0
0
8
0
0
0
16
1
0
0
0
8
4
1
0
16
16
16
0
0
0
0
8
8
0
0
16
0
16
0
8
16
0
18
18
28
0
0
0
0
0
0
0
0
0
1
20
0
0
0
16
16
0
0
0
0
42
0
0
16
16
8
8
1
0
0
0
0
8
8
0
4
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
16
0
0
28
16
8
24
24
0
0
0
8
0
0
0
0
0
8
0
0
0
0
0
16
16
0
0
8
4
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
5
0
0
0
0
4
0
0
8
0
2
0
0
0
18
0
0
0
0
0
0
0
1
0
0
0
1
2
0
4
0
0
0
8
8
8
0
8
0
0
0
0
0
0
0
0
32
0
18
18
18
18
16
16
0
0
0
12
0
0
0
0
0
0
0
0
16
8
8
8
0
4
16
16
0
16
16
8
8
0
16
16
16
16
4
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
8
0
0
0
0
0
2
0
8
0
0
4
2
0
0
0
0
8
8
0
1
1
0
0
0
2
2
8
8
16
16
4
0
0
0
0
0
8
8
0
0
0
0
4
4
16
0
0
0
0
16
4
0
0
0
0
0
8
8
0
0
5
0
0
0
0
0
8
16
0
8
0
4
4
4
4
4
0
8
0
0
10
18
0
2
2
1
8
16
4
0
0
0
0
0
0
1
1
8
8
8
0
0
0
16
16
16
16
16
8
0
0
32
16
0
0
0
8
0
0
0
0
0
0
32
8
0
0
0
8
8
16
8
0
8
24
0
0
1
4
0
0
0
0
0
8
8
8
8
8
8
8
8
0
8
0
0
8
0
0
0
0
8
8
0
0
0
0
0
0
0
8
24
0
0
24
32
16
0
24
0
0
0
0
8
8
0
21
8
0
16
24
24
0
16
0
0
2
22
8
0
0
8
0
20
0
8
48
48
0
0
16
0
0
8
16
45
0
59
59
0
8
8
0
0
4
1
0
17
0
0
0
16
16
0
0
16
12
16
2
0
0
22
22
22
0
0
16
1
8
0
8
16
16
8
24
24
24
0
0
0
24
24
24
0
0
0
0
4
4
0
1
1
0
0
0
0
0
32
1
1
8
0
0
16
2
0
16
16
16
0
24
0
16
0
0
0
0
4
1
0
16
0
0
0
0
0
16
16
16
24
16
17
17
0
0
8
0
0
4
4
0
0
8
0
0
0
0
16
0
2
0
0
0
0
0
0
8
8
8
8
0
0
0
0
16
4
8
0
0
0
10
21
21
16
1
8
0
0
8
2
16
16
16
12
1
0
0
0
6
6
6
0
0
0
1
0
8
8
16
0
0
16
16
0
0
0
0
0
0
16
4
8
8
0
0
0
0
0
24
0
0
0
0
8
2
8
0
4
4
9
9
6
4
0
0
0
0
0
0
0
0
0
0
8
8
0
0
20
17
17
0
0
0
24
0
0
1
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
28
28
8
8
8
0
0
0
16
0
0
16
0
8
0
0
0
0
0
1
0
0
8
0
0
0
0
0
0
0
0
1
0
0
0
2
0
0
0
0
0
2
36
36
8
0
0
16
16
8
8
8
0
0
32
16
16
2
16
0
0
8
8
0
0
0
0
24
24
24
0
0
0
0
4
2
0
0
16
0
0
8
8
0
0
0
1
16
0
0
4
0
0
16
8
0
0
2
2
0
0
0
0
0
12
32
32
0
16
4
32
32
32
16
8
8
0
0
0
0
0
0
10
0
0
0
16
16
0
0
0
4
8
8
8
8
0
1
0
0
0
0
8
8
8
0
4
0
16
8
0
2
16
0
0
8
0
1
0
20
0
0
0
0
8
16
16
2
2
32
32
32
0
0
16
16
0
2
0
1
0
10
10
0
0
0
0
0
0
0
0
18
0
0
0
8
0
8
8
4
16
8
8
8
24
0
16
0
0
0
0
0
0
0
6
2
0
0
0
0
0
16
16
0
0
1
0
0
0
0
4
0
0
32
9
0
12
0
0
8
0
0
0
0
0
0
0
8
8
0
8
8
0
0
0
0
8
8
0
28
0
0
24
0
8
0
0
0
5
4
9
8
8
3
3
8
8
8
8
8
8
8
8
8
8
8
0
6
1
0
4
0
0
0
0
0
0
4
2
8
0
12
0
2
4
0
0
0
2
2
0
24
0
0
0
2
0
8
8
0
24
0
0
16
8
8
6
6
8
0
8
16
0
0
0
0
0
0
8
24
24
8
0
0
4
0
0
0
16
32
32
32
32
0
0
0
8
0
16
0
0
0
0
0
8
24
0
8
8
8
16
16
0
4
0
0
0
0
0
16
16
16
4
0
0
1
0
4
4
0
0
0
16
0
16
16
16
16
16
16
0
0
0
0
8
1
16
0
0
8
8
8
0
16
16
16
0
3
3
0
0
0
0
8
0
0
0
0
4
0
0
0
0
8
0
0
8
0
8
4
0
0
0
0
24
24
24
0
8
1
0
8
0
0
6
8
0
16
16
16
0
16
0
0
0
0
0
0
8
0
0
0
0
17
17
17
17
0
0
8
20
0
8
0
0
8
8
16
8
8
8
0
0
0
8
8
8
8
0
16
8
8
8
3
3
3
0
0
0
0
4
4
16
1
2
0
0
24
16
16
8
8
0
8
1
1
0
8
16
0
0
0
0
0
0
0
1
8
8
0
0
0
4
4
8
8
0
0
0
0
0
0
0
0
1
0
0
8
0
0
0
0
0
0
0
0
0
0
8
4
16
16
16
0
0
0
0
0
0
0
0
0
1
0
32
32
0
8
0
0
8
0
0
0
8
8
0
0
0
0
8
16
0
4
57
0
32
32
0
4
1
0
8
8
0
16
8
0
0
0
0
0
0
0
0
8
0
0
4
0
0
16
16
0
0
0
0
0
8
0
2
0
0
1
16
16
16
16
0
8
0
0
0
4
8
8
0
0
0
16
0
0
0
24
0
16
16
16
16
32
0
0
0
0
0
8
8
1
0
0
0
0
0
0
8
8
0
0
0
2
8
8
16
2
0
0
2
0
48
0
24
4
0
0
0
12
0
0
0
0
0
2
2
0
16
48
0
0
8
8
0
0
0
0
0
0
0
8
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
16
16
32
8
0
0
8
8
8
16
0
8
0
24
12
12
0
0
25
8
0
0
16
0
8
8
8
0
0
0
0
8
16
16
0
0
1
24
24
0
1
0
8
2
2
2
0
8
4
4
0
8
16
8
17
24
0
8
0
18
18
18
0
4
4
0
0
0
32
4
4
0
0
0
0
0
41
41
40
8
8
8
16
16
1
4
4
0
0
0
16
16
4
4
16
0
0
0
2
16
0
0
8
0
24
0
0
0
0
8
1
0
0
12
0
0
0
16
16
16
16
16
48
2
2
0
16
8
0
16
16
8
0
0
4
0
0
0
0
0
0
0
0
8
8
0
4
4
0
0
0
20
0
0
8
0
24
0
8
8
8
8
16
0
0
0
0
8
0
2
20
0
0
0
0
0
0
0
8
0
2
2
2
2
16
0
2
4
1
1
8
0
0
0
4
16
0
0
16
16
16
16
16
2
16
0
0
0
0
0
0
0
0
1
0
16
0
0
0
8
0
8
0
0
0
0
0
16
8
8
16
8
8
0
0
0
0
0
0
0
16
0
8
8
16
16
16
8
0
8
8
8
2
2
0
8
20
8
20
0
1
1
0
8
0
0
0
8
0
16
16
4
0
0
0
0
0
0
16
0
0
0
0
0
0
0
12
16
8
8
0
36
1
1
0
1
1
1
8
1
0
0
0
32
32
32
0
0
0
4
0
0
0
0
0
0
0
7
7
8
8
0
0
16
16
0
2
8
8
0
0
8
1
9
0
8
0
8
8
0
1
5
5
16
0
0
16
0
0
8
0
4
0
0
16
0
18
0
0
0
8
0
8
1
1
1
1
1
8
0
0
18
0
0
8
8
0
24
8
0
16
0
0
0
0
4
8
0
0
0
8
4
8
4
18
18
18
0
0
8
2
2
2
16
17
1
0
0
0
0
0
0
0
0
2
0
0
12
0
0
8
4
0
0
16
16
0
16
16
0
2
0
24
16
16
16
16
0
0
17
0
0
0
0
0
0
0
0
0
0
8
16
0
0
0
0
0
0
0
8
0
16
8
4
0
0
0
0
0
0
0
0
56
8
0
1
0
9
0
8
8
8
2
0
24
0
0
0
0
0
8
0
8
8
0
0
0
0
8
0
0
16
4
0
0
8
0
8
8
2
8
0
4
0
0
0
42
0
0
0
0
16
0
22
12
12
8
0
0
16
16
16
16
0
0
8
8
0
0
0
8
0
2
2
2
8
0
8
8
4
0
0
1
8
0
8
0
0
0
0
0
0
14
16
16
0
0
4
0
48
48
0
19
0
0
0
0
0
0
8
8
0
0
1
0
0
0
16
12
8
0
0
8
8
0
0
16
0
0
16
8
8
32
0
0
0
8
8
0
0
0
0
0
4
0
0
8
0
0
8
8
0
8
8
0
0
0
16
8
0
49
0
0
0
0
0
0
0
0
2
0
0
0
0
0
8
0
9
8
8
8
8
8
8
0
0
24
56
22
8
8
8
0
0
0
0
1
0
0
13
18
8
8
8
16
16
16
0
0
1
1
0
20
6
6
0
0
0
0
0
0
0
6
6
0
0
0
0
16
16
2
0
0
0
0
0
0
0
8
0
0
16
0
16
8
1
0
0
0
0
0
0
0
0
0
1
0
0
34
0
0
0
0
0
0
0
16
0
0
8
0
17
8
24
2
56
0
2
0
0
16
0
0
8
2
8
8
8
16
16
0
0
0
8
8
8
8
8
16
0
0
0
0
0
0
0
16
16
0
8
8
8
8
24
4
4
4
8
8
0
0
16
8
8
8
0
0
0
0
0
0
0
0
0
0
2
0
16
0
16
16
2
24
24
24
17
1
1
1
0
2
0
0
0
0
0
8
1
2
8
8
0
0
0
0
0
0
0
8
0
0
0
0
8
0
8
17
17
0
0
0
0
8
16
8
8
8
16
0
4
16
3
3
0
0
0
0
22
16
8
0
2
8
8
8
8
8
8
16
0
17
1
16
0
0
1
0
0
16
40
0
0
0
4
8
3
1
0
0
0
24
1
8
16
16
0
0
42
4
0
0
0
16
0
0
0
0
0
16
0
0
1
0
0
8
8
0
16
24
0
6
0
0
0
1
0
0
0
0
0
4
57
16
16
16
0
0
4
0
0
0
0
0
0
0
0
32
8
0
0
18
0
8
8
8
0
0
0
17
0
0
0
8
1
0
0
0
1
16
0
0
0
16
0
0
0
0
36
8
0
8
1
1
8
0
0
0
4
4
0
0
0
0
2
8
0
0
0
8
0
0
0
0
8
0
0
0
0
0
0
0
16
0
0
0
0
0
8
0
8
8
8
0
0
0
0
0
2
0
4
16
0
0
1
16
16
2
8
8
0
0
0
0
28
0
0
2
0
0
0
16
0
0
0
16
0
0
9
1
0
4
0
2
0
0
0
4
4
4
24
2
2
8
0
0
0
0
0
4
8
0
0
0
8
8
0
32
0
8
0
0
0
8
0
4
16
8
8
8
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
4
0
0
0
0
0
0
8
8
8
18
4
0
16
0
0
9
0
0
17
0
0
0
4
8
16
16
16
16
16
10
10
10
10
0
32
0
24
8
8
8
16
16
32
0
0
0
1
0
0
0
0
8
0
0
0
0
16
0
8
8
1
8
0
0
24
0
0
0
0
3
16
0
0
0
8
0
0
0
0
0
0
2
0
16
1
0
0
0
0
0
0
0
0
0
8
0
2
8
8
8
0
0
4
32
4
0
56
25
25
0
0
0
8
2
16
0
1
0
8
8
0
0
0
0
0
0
0
0
8
8
8
8
8
8
24
0
0
0
8
8
8
0
0
0
0
16
2
0
8
4
0
8
0
0
16
0
0
0
0
0
16
2
2
2
0
40
0
0
0
0
0
0
0
0
0
4
0
6
0
16
16
0
0
0
16
32
0
16
4
4
0
32
0
0
0
10
0
0
8
8
8
16
2
0
8
8
0
8
8
0
0
0
0
0
8
0
0
0
0
0
0
0
0
16
16
27
0
0
8
8
0
8
8
0
0
16
1
0
0
0
4
4
4
1
1
24
8
8
8
0
0
16
2
2
2
8
8
8
8
8
8
0
4
8
6
0
16
16
16
0
8
24
8
0
0
8
0
0
16
16
0
0
4
0
0
0
8
0
0
0
0
0
0
0
24
0
0
0
0
18
0
0
0
0
8
8
8
16
8
8
0
8
0
16
0
0
0
16
0
0
0
0
0
8
0
0
0
4
1
0
8
8
0
8
0
0
0
0
16
4
4
0
0
8
8
0
0
0
0
0
16
0
0
0
0
0
0
8
8
8
8
0
4
0
0
0
0
0
0
0
0
0
4
16
0
0
0
0
0
8
8
8
16
16
0
0
0
0
0
8
1
4
16
0
0
0
16
8
0
0
1
0
0
0
16
0
8
8
0
0
0
8
0
2
1
1
16
0
0
0
0
0
8
0
8
0
20
8
1
2
2
0
0
10
0
0
4
0
0
0
0
0
16
18
18
8
8
8
16
0
0
0
0
0
8
0
0
16
0
16
16
4
4
8
0
0
0
0
0
0
8
16
0
0
2
8
8
0
0
22
0
0
0
0
1
1
0
0
0
8
8
0
8
8
0
0
0
30
0
16
0
2
0
0
0
0
0
0
0
0
1
1
1
4
8
0
0
0
4
4
0
0
0
0
24
24
0
0
8
8
0
16
16
8
4
0
0
8
8
0
0
24
16
8
0
0
0
50
50
32
0
0
4
16
8
16
16
16
0
6
16
0
0
16
16
1
0
0
4
0
0
0
0
4
4
16
16
8
0
0
8
0
0
0
8
8
8
8
8
27
27
27
8
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
8
8
8
24
8
0
2
8
0
4
0
0
16
16
14
14
0
8
4
8
8
8
0
4
4
4
0
0
22
8
20
26
0
8
0
8
0
16
8
8
25
4
4
20
8
16
16
4
8
4
4
0
1
0
8
8
16
8
0
0
16
16
16
0
0
0
0
0
16
16
0
8
8
0
8
0
0
16
16
8
0
0
0
0
0
0
0
0
0
0
0
8
0
0
26
0
0
16
0
0
0
0
8
0
0
8
0
0
0
0
32
0
0
0
0
0
0
0
0
0
5
0
0
8
0
0
0
0
28
0
0
0
2
0
1
8
32
32
32
18
8
0
0
0
0
0
0
0
0
0
0
8
0
0
16
0
8
8
12
4
0
0
0
0
8
0
0
0
8
0
0
0
0
17
17
8
8
0
8
0
0
0
0
8
8
8
0
4
0
2
2
8
2
2
0
0
0
6
0
0
0
0
1
1
1
10
10
2
2
0
0
0
8
0
16
4
4
4
4
0
0
0
0
0
8
0
0
0
0
0
14
0
0
2
24
24
16
0
24
8
8
0
0
8
4
24
24
24
16
0
16
4
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
8
0
8
8
8
8
8
0
0
0
0
20
2
8
8
8
24
24
0
24
0
8
0
0
8
0
0
0
4
16
8
0
8
0
8
8
0
0
8
8
8
0
0
4
29
29
29
16
2
2
0
0
0
0
0
0
0
0
0
0
8
4
0
0
24
24
24
0
0
0
24
16
16
0
0
0
0
4
4
8
0
0
0
0
0
8
0
0
16
16
16
0
0
0
32
4
0
0
0
0
8
0
4
0
8
8
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
16
16
8
0
1
0
8
0
0
0
0
0
0
0
8
8
8
8
4
0
16
16
16
8
8
0
16
4
8
16
8
0
30
0
8
16
0
16
6
8
8
16
9
0
0
0
0
0
0
16
0
0
0
0
8
4
4
4
0
0
16
0
0
0
16
9
9
9
0
4
0
16
0
0
0
0
0
0
4
0
0
0
0
4
4
2
0
0
0
16
0
0
8
8
0
0
0
0
2
40
16
0
0
0
24
2
0
0
16
16
0
16
0
1
20
0
8
0
0
0
4
4
0
0
0
0
0
0
0
8
8
8
8
12
12
12
12
12
0
0
10
0
0
16
1
0
0
0
0
4
4
0
8
0
16
0
0
16
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
30
16
0
8
2
0
0
0
8
0
4
0
0
0
0
0
8
0
0
0
0
0
8
0
8
8
8
4
0
0
0
0
24
8
8
8
8
12
16
8
8
8
8
0
0
0
1
0
0
0
8
0
8
8
8
0
0
0
16
0
0
0
0
8
8
0
0
16
16
0
2
2
2
0
0
4
0
0
0
0
8
8
0
8
8
8
0
0
0
8
0
8
20
4
8
8
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
2
0
0
0
0
0
0
2
0
17
0
20
0
0
8
8
0
26
0
0
0
16
16
16
0
8
8
0
8
4
4
0
0
0
0
4
8
23
2
0
0
0
0
0
0
0
4
0
0
0
0
9
9
0
0
0
0
0
0
0
0
4
4
4
0
0
0
0
0
8
0
0
0
0
17
18
2
16
16
16
16
16
0
0
16
16
0
0
0
0
2
2
16
0
8
8
0
0
0
0
0
0
0
16
16
16
16
0
4
4
0
0
0
0
48
48
0
0
0
0
1
0
0
0
0
4
1
8
0
0
36
36
36
8
0
0
0
0
0
8
8
0
1
1
1
6
2
2
8
8
8
8
0
0
8
8
8
8
8
8
1
8
0
0
0
8
0
0
0
16
16
0
0
0
0
0
0
0
8
24
8
0
10
0
0
0
0
0
2
2
0
0
0
0
12
20
12
12
0
8
24
24
24
0
32
0
0
0
0
0
8
0
0
0
0
0
32
2
0
8
8
0
0
0
0
6
0
0
0
0
8
8
8
16
16
0
0
49
0
0
24
8
8
8
16
16
0
0
16
16
16
16
0
0
0
0
0
0
61
2
2
0
0
0
0
16
8
0
0
2
2
24
16
0
0
8
0
36
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
16
4
4
0
0
0
3
0
0
0
0
8
0
0
0
1
0
8
32
0
0
0
0
8
0
0
16
16
0
2
16
8
8
0
16
4
22
4
8
8
0
0
12
8
24
0
0
0
0
0
0
0
0
0
2
0
0
0
8
8
8
16
0
0
8
16
8
0
8
0
24
0
8
0
0
0
16
16
0
8
8
8
0
2
0
4
0
0
0
0
0
0
0
24
0
0
0
8
8
16
0
8
0
8
0
0
0
16
0
1
1
0
28
0
0
0
8
1
0
0
4
1
4
0
0
0
32
0
18
0
0
0
0
24
0
8
0
0
16
3
2
2
2
8
0
8
1
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
1
0
0
0
32
0
8
0
1
0
0
0
0
8
0
8
8
0
8
0
0
0
8
0
0
16
0
0
16
16
0
0
0
8
0
16
0
0
0
0
0
8
0
0
0
8
5
4
8
0
0
24
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
8
4
0
0
0
0
8
0
18
18
4
0
1
8
8
8
16
16
16
0
0
0
0
20
12
4
0
0
0
0
0
0
0
0
0
16
8
0
0
0
4
10
8
0
0
0
0
0
0
0
4
8
8
32
32
0
32
0
0
0
6
0
0
0
8
16
0
4
4
0
0
0
16
16
16
0
10
10
2
0
0
0
4
1
0
0
0
0
0
16
0
0
0
0
0
0
0
16
16
8
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
17
8
16
20
20
8
8
16
7
0
0
0
0
0
9
0
4
0
0
24
16
0
0
0
0
0
4
4
4
0
0
0
0
0
0
0
0
0
0
0
8
0
16
2
2
0
0
0
0
24
0
0
0
0
0
0
8
8
0
0
8
0
0
0
4
24
0
22
0
2
0
0
0
0
0
4
4
0
0
0
0
0
0
0
0
0
0
2
0
0
0
8
0
0
0
0
0
0
8
8
0
0
28
8
0
0
1
0
0
2
0
0
8
8
8
0
2
0
0
8
8
0
0
0
16
16
0
21
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
2
2
0
4
8
16
0
0
0
16
0
16
0
0
56
8
9
0
0
0
0
0
21
16
0
0
8
8
8
8
0
0
0
8
0
0
0
0
0
4
0
0
16
0
0
0
8
0
0
16
0
0
0
0
0
0
16
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
2
0
2
0
0
0
0
0
0
0
0
0
0
0
0
17
0
0
0
0
0
4
0
0
8
0
0
0
0
8
0
40
0
0
0
4
4
2
0
0
0
0
18
0
0
0
0
0
0
0
16
0
0
0
16
0
0
0
1
0
0
0
4
4
4
8
0
0
0
0
0
0
8
0
2
0
0
2
0
0
0
0
0
0
0
0
1
0
0
1
2
0
0
0
8
0
0
16
16
16
0
0
0
0
8
8
0
0
0
8
0
0
0
16
16
8
0
0
0
0
1
0
18
0
0
0
8
0
8
16
0
0
8
0
5
8
0
0
0
11
0
0
8
4
8
16
0
16
0
0
16
0
42
0
0
0
2
2
0
0
0
0
8
0
0
0
2
0
16
0
9
0
0
0
0
0
2
0
0
4
1
40
8
8
8
0
0
8
8
4
2
0
0
0
0
8
0
0
8
0
16
58
0
0
0
0
0
2
0
8
0
0
0
0
0
0
0
56
56
0
0
0
0
0
0
32
0
0
8
16
0
0
0
0
0
8
8
8
0
0
16
16
16
16
16
16
16
16
16
0
0
0
41
41
8
0
4
8
0
0
32
0
2
4
0
0
0
0
0
0
4
0
33
4
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
8
8
0
0
8
8
0
0
8
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
2
3
0
16
0
0
0
0
0
0
8
0
0
1
18
18
18
0
0
0
0
0
0
0
16
0
0
0
28
0
0
0
0
0
0
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
8
4
0
0
0
4
0
0
32
0
17
0
0
0
16
0
0
0
8
8
0
0
0
0
8
12
8
0
0
8
0
8
0
0
0
0
2
2
2
8
8
8
8
8
8
0
0
0
0
0
0
0
8
8
20
0
4
26
0
0
8
0
0
0
0
43
8
8
8
8
8
0
0
0
0
1
1
8
8
8
0
0
0
0
8
16
2
0
8
1
0
0
0
0
28
0
0
0
10
0
34
0
0
8
0
16
16
0
0
0
36
0
16
0
0
16
16
0
16
0
0
0
0
0
26
0
16
0
0
0
16
0
0
2
8
0
0
8
16
0
0
0
8
0
0
0
0
0
0
0
0
24
0
29
0
0
0
0
0
0
3
0
0
0
0
8
0
0
10
0
0
0
0
0
18
0
8
0
0
0
0
8
0
16
0
0
0
0
0
16
20
0
0
2
16
16
0
8
32
25
25
0
0
0
0
8
1
1
2
2
2
2
0
0
0
0
0
0
0
0
0
0
8
0
0
8
0
0
16
0
0
0
2
2
0
0
20
24
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
8
8
8
0
11
1
0
0
0
0
8
0
0
0
0
0
8
0
1
4
0
0
0
0
0
0
0
0
0
8
8
0
0
16
8
0
0
0
0
0
0
4
8
8
0
0
0
0
8
0
0
8
8
8
8
0
16
2
0
0
0
0
0
0
0
0
2
0
0
0
0
8
16
8
8
0
1
2
0
0
0
8
16
0
0
0
0
4
0
0
16
0
4
0
0
1
0
0
16
0
0
0
56
2
0
4
0
0
0
0
0
0
0
14
0
0
10
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
8
0
8
26
26
0
0
16
16
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
2
16
0
0
0
8
0
0
0
0
16
1
1
0
0
0
0
2
2
0
0
1
0
0
0
0
2
0
0
8
6
0
0
0
4
32
0
2
0
0
8
0
0
0
0
0
0
8
0
0
0
16
0
0
0
2
0
0
0
1
16
8
0
0
0
0
0
0
0
1
8
1
8
0
0
0
16
0
4
4
0
8
16
0
8
0
0
32
8
0
8
0
0
0
0
8
8
24
0
0
0
0
24
8
0
8
0
8
8
0
0
0
0
0
0
0
0
0
6
0
8
8
0
0
0
8
32
4
0
0
16
16
5
0
0
2
0
0
32
0
0
4
0
16
16
4
4
8
8
8
0
0
0
0
0
4
0
40
0
0
0
8
0
0
0
0
4
0
0
0
0
8
8
8
8
8
0
0
0
0
0
0
0
0
0
30
0
0
0
4
4
20
0
4
16
0
0
8
12
17
1
0
0
0
0
0
0
0
0
16
16
0
0
0
0
16
0
0
0
16
16
0
0
18
0
0
0
4
4
4
4
4
20
0
0
32
8
0
0
0
0
0
0
16
16
0
0
0
0
18
18
18
18
0
0
0
0
34
0
2
0
0
0
4
8
0
0
8
0
0
0
0
0
20
0
0
18
0
0
0
0
0
0
0
2
2
0
0
6
6
0
4
0
0
0
0
8
12
0
8
0
0
16
16
0
0
0
0
0
0
0
0
0
0
50
0
16
0
0
0
0
0
0
0
8
16
4
0
8
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
5
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
8
0
0
0
8
0
7
0
0
0
0
0
0
0
0
0
0
0
0
8
8
18
8
2
4
0
0
0
1
1
0
0
0
8
0
0
16
0
0
0
0
2
4
0
1
1
24
24
8
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
24
0
10
10
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
16
2
0
0
0
0
0
8
0
0
0
0
1
16
12
0
0
12
0
0
0
0
0
16
0
0
0
0
0
0
8
0
0
0
0
0
6
0
8
4
24
62
0
0
0
0
8
8
0
8
0
8
8
0
0
16
8
0
0
0
0
0
8
1
0
4
0
8
8
8
0
1
0
16
16
0
0
0
0
0
0
0
16
0
16
24
0
0
0
0
0
0
0
16
0
0
0
0
0
0
4
8
8
16
0
0
0
0
0
0
0
0
16
0
0
4
0
0
0
0
4
0
0
16
16
0
0
0
0
0
0
0
16
5
8
0
8
0
2
0
0
0
16
1
8
8
8
0
0
0
0
0
0
56
2
4
0
0
0
0
0
10
10
0
0
0
0
0
0
8
0
0
16
0
0
20
8
2
8
8
8
8
25
16
0
0
0
24
0
0
0
0
0
0
0
0
2
24
24
12
0
16
0
0
4
0
0
0
0
1
28
2
2
2
0
0
0
16
28
24
8
0
0
0
0
0
0
24
0
8
16
4
0
8
0
0
0
0
4
8
0
8
8
8
8
8
2
2
0
0
0
0
0
0
8
8
8
0
0
0
0
0
26
26
0
0
0
0
6
6
16
0
0
16
0
0
0
0
0
0
4
0
8
0
0
8
8
8
0
16
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
19
0
0
0
0
16
0
0
14
14
33
8
8
8
40
40
40
40
0
0
2
8
8
16
0
0
0
0
0
0
0
8
0
0
0
8
0
0
0
0
0
0
0
0
8
0
8
0
0
0
0
0
0
0
0
21
4
0
8
0
0
0
0
8
5
5
0
8
8
8
0
0
0
0
8
0
8
8
8
8
8
12
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
24
0
0
1
1
0
0
0
0
4
4
0
0
0
0
0
0
0
1
48
48
48
0
0
0
0
16
24
24
24
24
24
24
0
8
0
8
0
0
0
0
32
32
32
0
16
0
2
2
0
0
0
0
16
16
0
8
0
2
0
0
8
0
16
16
16
0
4
4
0
0
8
8
0
8
32
0
0
0
20
20
8
8
4
0
0
0
0
0
44
0
4
0
0
4
4
4
0
16
0
0
0
24
24
0
0
0
0
4
4
4
0
8
8
8
8
2
0
0
0
0
0
0
0
4
0
4
4
0
0
16
58
0
8
0
27
27
17
0
0
0
0
0
0
0
4
24
24
0
24
24
20
0
8
8
0
16
16
16
16
16
16
4
0
0
0
0
8
8
8
3
2
0
0
0
8
8
0
1
4
4
0
0
24
24
24
24
4
4
16
0
0
0
0
23
0
0
0
8
0
0
16
16
16
8
8
4
0
0
0
0
0
8
8
8
8
0
0
0
0
0
0
16
8
8
8
8
8
0
0
0
0
16
0
0
2
0
8
16
2
0
0
0
0
0
0
23
0
25
0
0
0
4
0
0
0
0
4
0
8
0
0
0
0
0
0
4
0
0
0
8
0
0
0
0
16
0
0
8
0
0
18
0
0
8
8
8
8
20
20
0
0
0
0
0
0
0
0
0
0
6
6
6
8
8
8
16
12
0
0
16
0
0
0
0
4
0
0
0
0
0
0
0
16
0
0
2
24
0
0
0
0
0
0
0
4
8
8
0
0
0
0
0
0
0
16
16
16
0
0
0
0
16
2
2
0
0
4
0
0
13
0
0
4
0
0
0
0
9
0
8
0
0
0
8
8
0
0
0
52
16
0
8
0
0
0
0
0
8
0
0
16
8
0
0
0
0
0
0
8
0
4
0
0
0
2
2
2
2
0
0
0
0
0
8
8
0
18
8
1
0
0
16
0
0
16
8
8
0
2
0
44
8
16
16
16
0
0
0
0
2
0
0
0
24
4
0
16
0
0
4
2
0
2
0
0
0
0
0
0
0
0
0
0
16
16
0
0
8
8
0
1
0
0
8
0
0
49
0
0
0
8
17
0
0
16
0
0
0
0
2
0
8
0
0
0
0
8
8
0
8
8
0
0
8
0
16
0
0
0
0
12
8
0
0
0
0
0
0
44
0
2
0
0
0
0
0
32
0
0
0
0
4
4
16
16
0
0
0
0
0
0
0
0
16
16
16
16
8
8
8
0
26
0
0
0
0
0
16
1
8
16
20
20
0
0
0
16
0
0
0
0
0
2
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
16
2
8
8
1
24
16
20
0
0
8
0
0
0
0
0
24
24
0
2
2
4
8
8
0
0
0
16
0
0
6
6
0
0
16
16
16
0
0
0
0
8
8
8
8
2
0
0
0
0
0
8
1
8
0
0
2
4
4
4
32
32
32
8
0
0
0
24
10
10
0
16
16
16
4
8
0
0
0
0
0
0
0
8
24
0
0
16
8
4
0
0
0
0
8
0
0
8
8
8
0
16
0
0
8
8
8
0
0
0
0
1
0
0
0
8
9
0
0
0
0
0
0
1
0
0
8
1
0
8
0
0
9
0
0
0
0
8
0
0
0
0
0
8
16
16
16
16
1
12
0
0
8
0
0
26
26
8
8
8
12
0
0
0
8
16
8
8
0
0
0
16
8
8
8
0
0
0
8
0
9
0
0
0
0
0
0
0
0
4
0
0
0
8
0
0
18
0
0
16
0
8
8
8
0
0
0
0
0
0
0
8
0
0
0
0
0
3
4
8
8
2
0
0
0
0
0
0
10
0
0
8
0
6
20
20
29
29
0
0
0
8
8
16
0
0
0
0
0
0
0
0
0
0
16
0
0
18
0
0
0
32
2
0
0
8
0
1
8
0
0
0
0
0
0
8
0
0
8
0
0
0
16
4
5
5
0
0
0
0
0
0
8
8
0
0
0
0
8
0
0
0
0
16
0
0
0
0
2
8
2
2
2
4
0
4
2
2
0
4
8
0
0
0
0
2
8
8
0
0
16
16
0
8
0
0
4
1
4
4
8
0
0
0
0
16
0
0
0
0
0
0
24
6
0
0
25
0
0
1
0
0
0
2
2
0
2
0
8
8
0
1
1
16
0
0
0
0
21
21
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
1
1
1
0
0
0
0
0
8
0
4
16
4
0
0
0
12
8
8
0
24
0
8
0
8
16
16
0
0
0
0
0
0
0
8
8
0
16
8
0
0
0
24
0
0
0
0
0
8
0
4
4
4
0
0
20
0
0
0
0
24
24
0
0
32
2
8
8
0
1
0
0
0
0
0
0
0
0
13
0
0
0
0
0
0
0
0
0
0
4
4
0
4
4
0
1
0
0
0
0
0
0
8
0
16
0
0
0
0
0
0
2
16
16
2
0
0
0
0
8
0
7
2
16
48
18
8
0
0
0
0
0
16
4
4
16
16
2
0
6
6
16
8
0
32
0
0
0
56
0
0
1
0
0
0
0
16
0
0
0
0
0
8
8
11
1
1
1
1
1
0
0
0
0
8
0
0
1
0
8
0
1
0
0
8
8
8
0
0
0
0
0
14
14
0
0
0
0
0
0
0
0
0
3
3
8
0
22
22
0
0
1
0
8
0
16
0
0
0
0
18
18
0
0
0
8
0
0
0
8
8
8
8
0
0
16
0
8
0
0
0
0
0
0
0
18
0
0
0
1
1
0
2
2
0
0
16
25
36
0
0
1
0
0
0
0
4
4
0
0
6
0
0
16
16
16
16
32
16
0
0
1
0
0
4
0
0
0
8
0
0
8
16
16
16
16
1
0
0
1
0
0
0
0
2
0
0
0
0
0
6
8
8
4
16
0
0
0
0
0
0
0
0
0
0
24
32
0
0
8
8
16
0
0
0
0
0
8
8
0
0
0
0
0
0
2
8
0
0
16
16
0
0
8
0
8
0
2
0
16
16
16
16
0
8
16
24
16
16
1
0
12
0
8
16
1
0
16
0
0
4
0
0
0
0
0
0
0
0
0
24
12
0
0
16
1
2
2
0
0
0
0
8
8
0
16
16
0
8
0
0
0
0
0
8
16
4
0
17
8
8
8
24
0
0
0
0
0
0
0
0
0
0
0
0
32
16
16
22
8
0
4
4
4
4
4
4
4
4
4
0
0
17
4
16
8
0
8
16
0
8
8
0
0
0
0
0
16
8
8
0
0
0
24
20
8
4
16
0
0
0
0
0
0
0
0
0
0
0
16
0
0
8
0
0
0
0
0
2
0
8
0
0
16
0
0
0
0
1
0
0
0
0
0
8
15
0
0
1
1
0
0
0
8
8
0
0
1
0
0
8
0
0
16
8
2
0
0
0
0
0
0
0
2
8
0
0
8
0
8
2
2
24
0
8
0
4
4
4
0
8
9
16
16
0
4
4
0
0
0
0
0
0
16
0
1
0
0
0
0
0
0
0
12
8
22
22
0
16
4
0
4
0
8
8
8
0
24
8
0
16
16
16
16
16
0
0
20
0
0
16
0
8
8
8
0
10
0
0
48
4
4
0
0
0
0
0
0
8
8
0
8
8
8
8
0
8
0
0
0
0
0
0
0
0
0
4
4
4
4
4
0
8
0
0
0
0
16
8
0
8
1
0
16
0
8
0
0
2
8
8
16
8
16
16
0
0
0
8
0
0
40
40
0
17
17
17
17
17
12
16
1
16
16
0
0
1
0
0
4
4
0
0
2
8
8
0
0
8
8
8
0
2
0
0
8
0
4
18
8
0
16
0
4
4
0
8
8
0
8
1
0
0
0
0
8
0
16
2
2
0
0
16
8
0
1
4
0
8
8
0
8
0
0
0
8
8
16
1
1
1
22
8
0
0
8
8
0
0
9
8
8
4
8
8
0
0
0
16
8
0
17
0
0
0
0
0
0
0
0
8
8
0
8
0
4
16
8
8
0
1
1
1
0
0
0
0
0
0
0
8
16
8
8
0
0
8
16
16
0
16
16
8
0
0
8
20
16
16
0
16
16
16
2
8
8
0
0
0
0
2
9
0
17
0
0
8
0
1
0
0
0
8
0
0
0
8
8
8
8
0
0
0
8
8
0
0
0
0
0
8
0
0
0
0
0
2
0
0
32
0
16
8
0
8
0
24
16
16
4
8
8
8
8
8
0
8
0
0
0
16
2
0
0
0
4
8
0
2
0
0
0
0
16
8
8
8
0
0
0
0
0
0
0
0
8
0
0
0
8
0
8
8
8
8
8
8
8
8
0
0
1
8
8
0
0
0
0
6
0
0
0
0
0
0
0
0
8
0
0
20
20
0
16
8
18
8
8
44
16
16
16
16
24
0
0
0
44
8
8
0
8
16
8
0
0
8
8
0
0
0
0
0
0
0
0
8
0
8
4
0
8
4
1
1
0
0
4
4
0
0
14
1
1
20
24
0
0
8
2
0
0
0
0
16
0
0
0
0
0
0
2
4
0
8
24
8
8
0
0
0
0
0
0
0
0
0
0
8
8
1
1
16
5
5
5
16
4
4
0
8
8
0
4
8
8
0
2
0
0
0
0
1
0
0
0
0
0
0
16
0
16
16
0
0
2
0
0
0
0
0
0
8
0
8
16
16
16
16
1
0
0
0
0
0
16
16
16
16
8
0
0
0
2
0
0
0
0
0
0
4
0
5
5
5
8
8
0
8
8
8
16
16
16
16
16
0
0
0
10
8
8
0
0
0
0
24
18
40
16
0
0
0
0
31
31
0
0
8
0
0
16
0
0
26
26
0
4
0
0
8
8
8
16
0
0
0
2
2
2
8
8
0
0
0
0
16
0
0
4
0
8
8
0
0
16
0
0
8
0
4
0
0
0
0
8
0
6
0
0
17
0
0
0
16
0
8
20
16
0
1
1
16
0
8
8
0
6
0
8
8
16
0
8
0
13
13
0
0
8
8
8
0
0
16
0
0
0
8
0
0
0
16
2
8
24
24
8
8
8
1
16
16
0
0
1
24
2
2
2
8
0
0
1
0
0
0
8
0
8
1
3
8
8
0
0
24
24
8
8
0
0
8
1
16
0
0
0
8
0
0
0
0
0
16
0
0
40
16
0
0
0
0
0
0
0
0
22
0
0
32
4
0
0
0
0
0
0
0
8
4
58
0
16
0
4
8
8
20
0
0
0
0
4
8
8
0
0
16
16
0
0
16
0
0
0
16
16
16
16
16
16
16
16
0
0
16
1
1
1
1
1
1
1
1
1
0
16
0
0
0
0
0
0
12
12
8
16
16
4
1
16
4
8
8
2
8
0
8
8
24
16
0
0
0
0
16
0
16
1
1
1
0
2
2
4
17
17
17
17
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
18
1
0
16
8
40
8
0
8
8
0
0
0
0
0
48
25
25
25
0
8
8
0
8
1
2
4
8
0
0
8
16
0
0
0
20
0
16
16
8
8
8
8
8
8
8
8
8
8
0
16
0
0
0
1
0
0
16
16
16
0
8
4
8
0
1
0
0
0
0
9
1
0
0
0
0
16
0
0
0
0
8
8
10
0
4
4
0
0
0
8
8
0
0
2
0
0
0
0
0
0
8
0
0
14
0
0
0
8
0
8
8
8
0
0
0
0
16
0
0
0
0
4
4
4
4
4
0
8
0
16
16
0
16
0
0
0
0
17
8
8
0
8
0
1
0
17
8
0
0
0
0
8
8
8
8
16
0
16
16
8
8
0
0
8
8
8
8
0
0
4
0
0
0
16
0
8
8
4
4
4
0
16
0
0
0
16
0
8
0
0
32
0
4
4
0
40
40
2
16
16
0
0
0
0
0
8
8
16
0
16
8
2
2
0
0
16
0
0
0
8
0
0
0
0
0
0
8
0
0
0
12
32
0
0
0
0
0
0
8
8
0
16
8
8
16
0
4
4
8
8
0
6
16
16
0
0
8
0
8
8
0
0
0
10
0
0
0
2
32
4
0
8
8
8
8
0
0
8
4
0
0
0
0
0
0
1
8
8
8
16
16
16
16
0
0
8
0
0
0
8
2
8
0
8
8
8
8
0
0
8
8
8
8
8
8
1
8
8
8
16
0
0
0
0
8
8
16
1
8
0
16
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
8
0
16
16
2
2
8
32
1
16
0
0
0
0
8
12
0
0
0
0
0
16
0
0
4
4
4
0
0
16
0
0
0
16
16
16
0
4
0
8
0
8
4
16
0
1
0
0
0
0
0
0
0
0
16
16
0
0
8
8
0
8
16
0
0
0
0
2
20
0
8
8
16
16
16
0
9
6
1
0
0
8
0
0
0
0
0
0
0
16
1
1
1
1
1
1
0
8
0
8
0
0
0
0
0
0
0
0
0
12
16
16
4
8
0
0
16
0
0
16
16
16
0
0
0
8
0
0
13
13
16
0
24
16
8
0
0
0
8
18
0
0
0
0
0
0
4
0
0
0
0
0
0
0
8
8
2
22
0
0
0
0
8
0
8
8
8
0
9
9
9
0
0
0
0
14
14
14
8
0
0
4
0
16
0
25
4
0
0
0
0
0
8
8
8
40
2
8
0
0
0
8
8
0
8
8
0
0
9
4
8
8
14
0
8
8
16
16
1
41
20
0
16
2
24
4
0
4
16
16
0
0
0
0
0
0
16
0
0
0
0
8
8
0
0
0
0
4
4
4
0
8
0
0
0
0
8
8
0
18
0
0
0
8
0
8
0
4
16
16
0
0
2
2
2
0
0
8
24
1
8
0
1
2
2
0
0
1
0
0
0
0
24
24
0
4
16
8
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
2
0
0
0
8
8
8
2
0
0
16
8
16
0
28
0
0
10
0
2
0
0
0
0
0
0
16
4
4
32
0
0
0
0
16
32
8
0
0
0
33
0
0
8
2
2
8
16
4
4
16
0
0
0
0
0
0
0
8
8
6
8
0
0
0
0
16
8
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
8
0
0
0
8
0
0
1
8
16
0
0
8
0
0
8
0
0
16
16
0
0
0
0
0
48
0
0
0
0
32
16
0
0
0
0
0
0
0
0
8
0
0
1
1
0
0
0
0
0
0
4
0
0
16
20
4
2
0
12
0
16
16
16
16
0
0
0
4
0
9
9
0
8
0
0
0
16
49
0
0
8
0
0
0
4
0
16
0
0
4
0
0
0
0
0
8
8
0
0
0
0
16
0
0
8
8
0
8
0
8
12
0
0
0
16
0
0
0
0
0
8
17
17
8
0
0
0
0
0
0
0
0
8
16
2
0
0
0
0
5
0
8
8
0
0
0
0
0
32
32
0
1
1
0
4
0
0
0
0
4
0
0
0
8
0
0
0
0
8
0
0
0
0
0
16
16
0
2
16
0
0
18
0
24
24
24
0
0
2
16
16
0
0
0
0
0
0
0
24
0
16
16
1
8
8
8
2
0
0
8
0
0
16
0
0
8
0
0
0
8
8
0
0
4
4
16
16
0
0
0
0
8
4
32
0
0
16
0
0
0
0
0
0
0
0
0
0
2
16
16
16
16
8
8
48
24
8
8
0
0
0
2
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
32
16
8
8
0
0
3
3
0
0
0
0
0
0
8
0
0
0
8
8
8
8
8
0
4
0
0
0
0
16
0
0
17
0
0
0
0
0
0
8
8
0
8
8
0
16
32
8
0
1
1
20
20
0
16
0
0
0
4
0
0
0
12
0
0
8
5
0
0
16
0
16
0
0
0
0
8
8
8
0
0
0
0
9
9
9
9
8
16
8
8
0
0
0
0
0
0
16
2
2
0
0
0
8
24
8
20
0
8
8
8
16
8
4
8
8
8
8
0
0
12
0
0
0
0
0
0
0
0
10
1
8
0
0
0
0
0
8
8
18
0
34
0
0
0
0
0
0
8
0
0
48
16
0
0
0
0
0
0
0
24
0
0
0
8
0
1
1
0
8
4
4
0
0
8
0
0
0
8
8
8
2
0
0
0
0
0
2
2
0
0
24
0
16
0
0
0
0
17
16
0
16
16
0
8
0
16
4
0
0
0
8
0
0
0
0
0
0
0
0
1
0
0
0
2
2
8
0
0
0
0
0
14
1
1
0
8
16
8
0
0
0
0
8
0
8
16
16
0
0
0
0
0
16
16
16
16
0
8
8
8
16
16
0
8
1
1
1
1
1
1
8
8
1
0
0
4
24
0
0
16
16
0
8
8
0
24
0
0
8
2
0
0
48
0
0
0
2
0
0
16
12
0
0
0
0
18
18
16
0
16
8
0
0
0
0
0
0
8
8
0
0
0
8
0
24
1
0
0
0
32
32
0
0
16
0
0
0
8
10
0
0
16
8
8
0
4
0
0
0
0
0
0
29
29
29
29
29
0
0
29
4
4
4
4
0
0
0
8
41
0
0
0
4
4
0
0
8
8
8
0
0
0
0
0
8
0
0
0
4
0
0
0
16
16
16
0
0
8
24
16
0
2
0
4
1
1
0
0
0
0
8
0
0
0
0
0
2
0
0
8
0
0
4
4
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
4
0
8
0
0
0
0
16
2
24
0
0
0
0
16
4
0
16
16
0
0
0
0
0
20
20
0
9
0
18
0
16
0
0
0
0
0
0
0
0
8
8
0
0
0
0
8
0
8
0
0
0
0
0
16
16
0
0
0
8
0
0
1
1
0
2
8
2
2
2
4
4
1
0
0
0
0
0
0
0
22
16
0
0
0
0
0
8
0
24
8
0
2
2
0
0
0
2
0
1
0
0
4
0
2
4
8
8
0
0
0
8
0
0
0
8
0
0
0
0
0
8
8
8
8
0
8
2
2
0
24
0
0
0
1
0
0
0
0
0
4
0
8
1
8
8
0
0
1
0
8
8
0
0
8
0
0
0
0
8
0
1
23
0
0
0
0
2
16
4
8
0
0
0
16
0
8
0
0
0
0
0
8
16
16
0
0
0
0
0
0
0
8
0
8
0
0
0
0
8
8
8
8
0
6
0
0
0
0
0
0
0
8
0
0
8
0
0
0
4
0
8
8
0
8
0
16
0
0
0
0
0
0
0
1
0
0
8
0
8
0
18
16
0
0
0
0
0
8
0
0
0
0
0
2
0
0
10
0
4
0
8
8
8
0
16
16
8
0
0
24
16
16
16
16
16
20
0
0
24
0
0
0
8
0
0
8
0
16
0
8
0
8
8
0
0
0
0
0
8
8
8
0
8
0
0
0
0
8
0
0
12
0
24
24
4
0
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
1
1
1
1
4
16
16
0
0
0
0
0
0
2
0
24
0
5
5
5
5
8
0
0
8
2
2
0
0
0
0
9
0
0
8
16
16
0
0
0
0
0
0
0
0
0
17
8
8
8
0
0
32
1
0
8
0
0
0
0
10
0
0
0
1
0
32
32
0
0
8
8
0
0
16
4
4
0
0
22
22
42
4
0
31
0
0
24
0
0
0
4
0
0
0
0
0
0
0
0
0
0
16
0
0
0
16
0
8
8
8
8
4
0
0
4
0
16
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
2
2
2
1
0
0
4
4
8
24
24
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
16
16
16
2
18
0
16
16
8
0
0
0
0
0
0
8
0
0
0
8
16
24
24
0
2
8
8
57
11
9
16
16
16
0
0
9
16
16
16
0
8
16
0
16
16
16
16
16
0
0
0
0
2
0
0
0
8
8
8
0
8
25
16
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
19
19
0
0
0
0
0
16
0
0
0
0
32
0
2
2
16
16
16
16
16
0
8
8
0
0
0
0
0
0
0
0
0
16
0
8
1
8
8
8
8
8
8
8
8
8
0
1
1
2
0
4
0
0
24
24
24
0
20
0
0
0
0
8
1
0
1
1
8
0
0
20
32
8
0
0
1
16
0
0
0
0
0
0
0
8
8
8
0
4
8
8
8
8
8
0
10
8
4
4
4
4
0
0
0
8
16
0
19
0
0
0
0
1
0
0
0
0
0
0
0
16
36
0
0
8
8
8
0
0
0
0
0
8
8
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
16
0
0
0
0
8
8
8
8
16
0
32
32
2
0
0
0
0
0
4
28
0
1
1
0
0
8
0
0
0
0
0
0
0
0
4
8
0
0
0
0
16
2
2
0
0
0
8
8
0
8
8
0
8
8
8
8
8
8
0
0
0
26
0
0
22
0
0
0
0
4
4
0
0
0
0
0
8
8
8
0
8
52
0
40
4
10
0
8
0
0
8
0
12
12
16
4
0
0
8
0
0
0
0
0
12
0
0
1
0
29
29
29
0
32
0
0
0
0
0
0
0
0
16
16
2
0
0
0
0
0
0
2
2
0
0
0
0
16
16
16
0
28
0
8
16
0
8
40
0
0
0
0
0
16
8
0
16
16
16
2
0
0
0
0
0
16
0
0
8
8
12
12
0
0
16
16
0
0
0
0
0
0
20
8
0
0
0
0
0
0
0
32
32
1
0
1
0
0
0
0
0
0
0
0
8
0
0
0
0
1
16
0
4
16
0
8
0
0
8
8
0
0
0
0
4
0
0
2
16
0
0
0
0
12
4
4
0
16
0
24
24
0
12
16
0
0
0
0
16
16
16
16
0
0
0
0
0
0
24
0
8
32
0
0
0
37
8
8
0
0
0
0
0
0
8
8
4
4
0
0
6
8
8
0
0
0
0
16
24
8
0
0
0
0
1
16
0
0
0
0
0
0
2
1
0
16
16
8
2
8
6
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
2
0
0
0
0
0
0
8
0
8
0
0
0
8
0
0
16
16
0
0
16
0
0
16
8
12
0
0
16
0
0
10
0
0
0
0
8
0
8
0
8
16
8
0
8
2
2
2
4
1
0
0
0
0
0
0
0
0
24
0
2
2
4
0
8
24
0
0
0
0
4
4
0
8
0
2
2
2
0
16
8
16
0
0
0
8
0
0
25
0
8
0
0
20
20
0
0
16
12
12
0
8
0
21
16
0
7
0
3
0
8
0
0
0
0
0
0
0
0
0
0
0
0
2
0
8
0
0
0
16
0
0
0
0
0
0
16
0
8
8
16
0
0
0
0
0
0
0
0
0
8
0
0
0
4
24
24
24
24
4
8
8
16
0
0
1
50
1
16
8
8
0
4
8
8
0
0
0
8
0
16
0
0
16
0
28
0
0
16
0
4
12
0
0
0
0
0
0
0
0
32
0
0
16
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
8
8
0
20
20
20
0
0
0
0
8
24
24
24
24
8
1
0
0
18
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
17
4
8
7
8
0
0
10
10
12
0
0
0
32
4
16
0
16
28
21
0
16
8
0
0
8
0
48
48
4
6
6
0
0
8
8
0
0
0
20
0
8
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
16
8
32
32
4
0
16
16
16
16
0
8
8
0
0
0
8
0
0
0
0
24
4
0
0
1
8
8
0
0
0
8
8
8
16
0
0
2
4
0
12
12
12
16
16
0
0
8
8
8
0
0
0
8
8
4
0
8
8
8
0
28
28
0
8
0
0
0
0
0
8
8
0
0
8
8
8
16
0
8
8
8
5
0
24
40
24
8
8
0
0
0
0
16
16
0
0
0
0
0
1
0
0
0
0
0
0
16
8
6
24
0
0
0
8
16
0
0
0
0
0
32
16
16
16
16
16
16
0
0
0
0
0
0
0
0
0
16
16
8
8
24
8
0
0
0
0
0
0
16
0
0
17
17
0
0
17
17
17
0
0
8
8
16
16
16
8
8
0
0
8
8
0
0
0
0
0
4
8
0
0
0
0
16
16
16
8
8
0
0
0
8
8
1
0
24
16
1
0
0
16
0
0
0
16
5
0
0
0
0
0
0
0
0
0
8
8
0
0
8
8
0
16
0
0
0
8
8
0
0
0
0
0
4
0
0
10
8
2
0
0
0
0
16
0
8
0
0
0
8
4
6
8
0
8
0
0
0
0
0
0
0
0
0
1
2
0
0
0
0
16
0
0
0
0
0
0
20
20
20
0
0
0
8
0
0
4
4
8
4
0
8
8
8
8
8
8
8
0
0
0
0
8
8
8
8
8
0
0
0
0
0
8
0
0
1
16
8
8
0
0
0
48
2
0
16
16
0
8
16
16
38
8
4
1
0
0
2
2
2
2
2
2
0
2
0
0
0
16
0
0
0
0
0
8
0
0
0
0
8
8
8
1
0
0
0
0
0
0
4
16
0
0
0
2
24
1
16
0
0
0
0
4
0
0
0
0
0
4
4
0
0
0
8
16
0
0
0
0
0
8
24
4
0
0
1
0
1
0
0
8
8
0
0
0
0
6
0
0
8
8
4
4
0
8
0
0
0
0
0
0
1
0
4
4
8
8
0
0
0
0
0
1
1
1
0
8
12
0
8
0
0
0
0
41
41
41
8
8
0
8
1
4
4
0
16
0
0
0
0
8
1
6
0
0
0
0
4
0
4
0
0
0
0
16
8
2
8
8
8
8
0
0
32
32
0
0
0
0
8
2
2
8
8
16
9
0
0
0
16
12
0
0
16
2
8
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
16
16
8
8
16
16
8
16
0
0
0
0
0
0
0
0
0
0
0
8
0
16
8
4
0
0
4
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
16
0
8
0
44
24
24
24
8
8
16
16
0
0
4
4
4
6
0
4
16
0
8
18
0
8
0
0
0
0
0
0
1
0
0
2
2
0
0
0
0
0
18
18
0
0
0
0
8
8
0
0
17
0
0
57
16
16
0
0
1
2
8
0
0
0
0
0
0
40
8
0
8
0
0
8
8
2
2
2
8
8
8
8
8
0
16
9
16
0
8
0
16
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
16
4
0
8
0
0
0
0
16
0
8
0
0
8
0
0
17
1
1
2
0
8
8
8
0
8
8
0
0
0
0
8
48
0
0
0
0
0
2
8
0
16
0
0
0
0
0
0
0
0
8
8
1
0
8
16
16
0
6
0
0
0
8
8
0
0
0
0
0
8
0
8
8
0
0
8
0
0
0
8
16
16
8
8
0
0
0
32
8
0
0
0
16
0
2
0
3
17
17
32
32
16
4
0
0
2
2
2
2
8
0
4
0
2
0
8
0
8
0
0
1
1
0
0
8
8
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
1
17
17
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
17
16
8
2
8
8
0
0
0
0
4
4
0
0
0
16
0
0
0
0
0
0
0
6
0
16
0
0
0
0
0
0
0
16
16
8
0
21
1
6
0
4
0
16
0
0
8
0
24
0
0
18
0
16
0
0
0
8
0
8
12
0
1
0
16
0
8
8
0
8
0
0
8
16
8
0
0
8
24
24
0
8
8
8
24
24
0
0
0
8
0
0
0
0
0
9
0
0
0
8
4
2
8
8
8
8
0
16
1
1
0
0
0
0
8
8
8
8
8
0
0
0
16
16
8
0
0
0
0
8
8
32
0
0
0
0
16
58
2
32
0
0
0
0
0
0
0
34
0
0
0
8
0
0
8
0
0
8
8
0
4
4
0
0
0
0
0
0
1
1
0
0
0
24
0
0
4
0
0
1
1
1
16
0
0
0
0
8
4
24
0
0
0
8
8
8
8
0
8
0
8
8
0
9
24
16
0
0
16
16
0
0
4
0
0
0
0
0
0
0
0
8
8
0
0
0
8
2
0
0
0
1
0
0
0
0
17
17
0
8
8
0
4
9
9
9
0
8
0
0
16
1
8
0
0
0
0
0
0
16
0
4
4
0
0
0
0
0
0
0
8
8
0
0
0
4
0
0
0
16
0
18
4
8
8
16
16
8
8
0
0
0
0
0
0
0
0
2
20
0
0
8
8
8
7
0
0
0
16
0
0
0
0
0
0
0
0
0
2
0
0
0
16
16
8
8
8
8
8
0
0
0
10
0
0
0
0
8
0
0
48
0
0
8
8
8
0
0
0
8
8
0
8
8
0
0
0
0
0
8
0
0
0
0
1
36
0
0
4
1
0
0
0
0
8
8
8
0
4
4
4
0
0
0
0
0
0
0
16
1
0
0
0
0
0
0
0
0
0
0
12
0
0
0
0
0
0
2
2
0
16
0
4
24
8
8
40
0
0
8
0
8
9
8
1
8
16
25
0
0
0
1
8
0
0
0
0
0
26
8
16
8
0
0
0
0
0
0
0
8
8
8
8
8
2
0
0
0
0
8
0
0
0
0
0
0
4
2
2
8
0
0
16
8
8
19
0
0
0
0
16
8
0
1
0
0
8
8
0
8
0
0
0
0
0
0
0
16
16
0
0
0
8
0
4
0
16
0
4
4
0
0
0
18
4
25
0
0
10
0
0
16
0
0
16
0
0
0
0
1
8
8
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
2
8
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
17
17
0
2
0
0
0
0
0
0
0
0
0
0
18
0
0
0
0
0
16
0
0
8
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
8
0
0
10
4
0
0
0
0
0
0
1
16
8
0
0
0
0
0
0
0
0
26
8
8
0
0
0
0
0
0
0
0
0
16
2
0
0
0
4
8
0
0
24
4
1
0
4
0
9
8
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
17
17
0
0
32
0
20
20
24
0
0
0
4
0
0
0
32
16
0
0
0
2
0
8
0
0
32
17
0
0
0
0
0
0
0
0
0
0
8
8
1
8
8
24
0
1
1
8
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
16
16
8
8
8
8
8
2
0
0
16
0
0
0
8
8
8
8
0
6
0
0
0
0
8
8
0
2
4
16
8
0
32
0
0
0
0
16
8
0
0
32
0
0
8
0
0
0
16
8
0
0
0
0
16
4
0
0
1
8
8
17
17
0
2
0
8
16
8
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
16
0
0
8
8
24
0
0
0
0
8
8
8
8
8
0
0
0
0
0
0
1
0
8
0
0
0
0
0
0
2
2
0
0
0
0
0
0
0
13
13
0
0
0
0
16
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
1
8
0
8
4
4
4
0
0
0
0
0
0
0
0
0
0
8
0
8
0
0
0
2
0
0
0
0
0
4
0
0
20
0
0
0
8
0
0
0
0
0
0
0
32
4
0
0
0
0
0
0
0
0
0
0
0
0
0
16
4
0
0
0
0
8
8
0
0
0
8
0
0
0
0
0
0
0
0
4
0
0
8
0
16
0
8
8
16
8
0
0
0
0
2
0
0
0
0
8
0
6
0
0
0
0
1
0
0
2
0
0
0
0
0
0
0
0
4
8
8
8
8
4
46
0
8
0
0
1
0
0
0
0
0
4
0
0
0
0
0
0
22
0
0
0
0
0
16
16
0
0
0
8
26
8
16
0
0
0
16
16
8
8
8
0
0
0
16
8
0
8
1
0
0
28
0
0
0
0
0
0
8
0
0
16
16
16
16
16
16
16
16
8
0
0
2
0
0
0
16
16
0
0
0
0
16
18
0
0
0
0
0
0
0
0
16
0
0
0
0
8
18
17
8
8
0
0
0
0
0
0
8
8
0
0
0
8
0
8
0
24
8
8
0
16
16
0
0
0
2
2
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
8
8
8
0
0
0
8
0
0
0
16
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
6
0
0
8
0
0
0
0
0
0
0
0
0
8
8
19
0
0
0
0
0
4
8
25
25
0
0
0
0
8
24
0
0
0
0
8
0
0
0
0
16
16
16
16
0
0
16
0
2
0
8
0
32
8
2
0
26
1
20
12
12
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
2
0
0
0
0
0
0
0
8
1
28
8
8
24
4
24
24
24
24
0
0
0
16
8
0
0
0
0
1
1
0
0
8
0
1
1
0
8
16
16
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
8
0
0
0
8
16
0
0
0
16
16
0
8
0
0
0
8
4
0
0
0
2
0
0
16
2
0
0
3
0
24
0
0
0
8
0
0
0
0
0
0
8
4
0
0
16
16
1
0
0
0
8
8
8
0
18
0
4
8
16
16
0
48
0
0
8
8
8
0
0
0
0
8
0
0
0
0
8
16
0
0
1
16
16
16
8
8
0
0
0
0
1
0
0
16
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
4
0
16
0
8
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
24
8
0
0
0
0
8
0
0
8
8
0
0
0
0
0
0
2
0
4
0
0
0
0
17
0
0
16
0
0
2
0
0
33
16
0
8
8
0
0
8
0
0
0
0
0
0
8
0
0
0
0
16
2
8
0
0
0
1
0
0
1
0
0
0
0
0
0
0
0
16
16
16
16
16
8
3
0
0
0
0
0
8
8
8
0
0
0
0
0
0
8
8
0
0
0
8
0
0
8
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
2
0
0
0
0
20
0
0
0
8
8
0
0
4
0
16
25
25
0
0
0
0
4
1
16
0
16
0
0
0
0
30
0
8
8
0
0
0
0
0
0
0
0
8
0
0
8
1
18
18
18
0
0
16
0
0
0
0
0
0
2
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
24
16
16
0
0
0
0
0
0
0
0
8
0
0
1
9
0
0
16
0
8
24
1
16
5
4
0
8
0
4
0
0
0
16
0
0
0
0
0
22
16
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
8
0
8
0
1
0
0
0
0
0
6
0
18
4
8
8
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
8
0
22
22
16
48
0
0
16
48
48
0
32
4
0
0
8
2
2
0
8
0
0
0
0
16
4
0
0
8
0
18
0
8
8
8
8
0
0
0
0
0
0
0
0
1
16
12
0
0
0
0
16
16
4
4
4
16
0
0
0
0
0
10
10
10
0
0
0
2
0
8
8
16
8
0
0
0
8
8
40
16
8
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
4
0
16
0
0
0
0
0
0
0
0
4
0
8
4
1
1
0
0
0
20
20
0
8
0
0
0
0
8
2
2
2
28
0
0
0
0
0
0
24
24
8
8
8
8
0
0
0
0
0
8
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
16
0
0
8
8
8
16
0
57
8
0
0
0
0
0
0
0
0
0
0
0
17
0
0
0
0
0
0
0
0
1
0
16
0
0
0
24
24
8
0
16
0
8
0
0
8
8
0
0
0
0
0
0
4
8
16
0
0
0
0
0
0
2
0
0
4
0
0
12
12
12
0
8
0
0
0
0
0
0
0
1
16
0
0
8
0
0
0
0
0
0
4
8
2
0
0
0
0
24
0
0
0
4
1
8
16
0
0
0
0
0
0
39
0
0
0
0
0
0
0
0
12
0
0
0
8
17
24
0
0
0
17
16
0
2
0
8
8
8
32
8
0
0
0
0
0
0
0
0
16
8
16
33
0
0
4
4
0
16
16
16
0
4
0
0
0
0
0
0
0
0
0
16
1
0
0
0
0
18
0
0
2
4
0
0
0
0
0
0
16
8
8
0
16
0
0
4
0
0
0
16
8
2
0
0
0
32
18
0
0
0
0
0
4
8
0
16
8
0
0
0
16
16
0
24
20
20
20
0
0
0
10
0
17
0
0
0
0
0
0
0
0
0
16
16
1
1
0
8
8
16
8
0
4
0
8
0
16
8
8
8
8
4
0
8
8
16
4
4
8
0
10
10
10
4
4
0
0
0
16
0
0
4
2
24
0
0
2
2
0
0
0
0
0
16
8
14
14
8
48
48
48
4
0
0
8
16
48
48
8
0
0
0
0
0
9
9
41
0
8
0
0
0
0
0
16
16
0
16
0
0
0
24
0
0
0
0
20
0
0
8
40
40
40
0
0
0
0
0
0
0
2
2
2
2
3
3
3
0
16
8
16
16
24
0
0
0
0
2
2
16
16
16
0
0
8
27
4
4
4
4
4
0
16
16
20
1
0
0
24
20
20
8
16
0
0
4
0
0
0
0
0
0
0
8
0
8
8
8
0
0
0
0
1
8
1
1
1
0
0
0
0
0
0
0
8
8
0
0
0
8
0
0
16
16
24
0
0
0
0
0
8
2
0
0
0
0
0
0
0
0
0
0
0
1
0
2
2
0
0
0
8
8
0
0
0
16
6
6
16
0
0
16
8
8
0
0
0
0
0
8
8
0
4
8
0
0
0
0
16
0
18
0
8
8
0
0
0
32
32
0
0
0
8
20
0
16
16
16
0
0
1
1
1
8
0
16
0
0
8
1
8
2
16
18
18
1
1
1
0
0
16
0
0
0
8
0
1
0
0
8
9
0
0
0
8
8
8
2
0
16
0
0
0
16
0
2
2
2
8
0
0
1
0
8
16
24
8
0
16
4
8
0
0
0
8
8
0
0
16
32
32
32
32
16
32
0
0
16
16
1
16
8
16
16
1
0
0
0
0
0
0
0
0
0
0
0
24
0
2
8
0
8
0
0
1
0
0
8
2
4
4
8
16
8
8
0
0
0
0
3
4
4
4
0
0
8
16
16
0
8
8
24
24
24
8
0
8
8
16
16
0
1
37
0
16
16
40
16
0
8
0
0
16
2
2
2
2
8
8
24
0
0
0
0
0
0
2
0
9
9
4
1
0
0
6
16
0
0
16
16
0
0
0
8
32
32
0
0
0
0
8
8
8
8
16
0
0
8
16
0
0
16
0
8
8
8
0
0
0
0
16
0
0
0
0
0
16
16
16
57
16
8
4
24
24
24
24
24
24
0
0
0
16
0
0
0
0
4
0
1
8
8
8
16
8
0
1
0
0
0
0
0
8
8
0
8
24
24
24
0
4
0
0
8
24
24
4
4
8
10
0
16
16
0
0
0
0
0
16
16
0
8
0
8
8
0
0
0
0
0
0
8
2
1
24
2
4
0
0
8
8
0
0
0
0
0
0
16
0
16
0
16
0
0
16
8
8
8
8
8
16
0
16
0
1
8
8
0
0
0
0
0
0
0
0
0
0
4
0
8
4
0
0
18
16
0
0
0
8
0
0
16
8
16
16
0
0
0
1
1
2
0
0
0
0
0
16
0
0
0
0
16
0
0
6
0
16
8
8
0
0
16
16
16
18
18
4
0
0
0
0
8
8
0
0
0
8
0
0
0
4
12
8
0
2
1
8
32
0
8
8
0
8
8
8
8
0
1
1
32
32
0
0
0
0
0
18
8
0
1
1
28
28
1
1
1
1
1
16
0
4
8
0
16
16
16
0
0
0
16
0
16
0
0
8
8
8
8
0
8
8
8
16
8
18
0
0
0
0
24
24
8
16
0
20
20
0
0
0
0
8
28
16
0
8
8
8
32
0
0
0
0
0
2
2
0
0
0
0
0
4
0
0
4
0
8
8
0
0
0
0
0
0
0
0
0
4
4
16
16
16
4
1
0
0
23
8
8
16
8
23
23
23
23
16
16
8
16
0
16
0
0
16
0
0
0
8
8
0
0
2
2
2
32
32
32
32
32
8
8
32
8
60
1
8
8
0
0
8
0
0
0
2
5
16
1
16
16
16
0
0
4
0
0
8
0
0
32
24
2
0
0
0
0
6
0
0
0
0
0
0
0
8
0
0
0
0
8
16
16
16
16
0
0
0
0
0
16
16
0
8
0
0
0
32
0
0
8
0
0
0
0
8
8
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
1
0
0
0
0
16
24
24
16
0
4
4
0
0
8
0
8
8
16
0
0
4
8
0
1
8
20
8
2
8
8
8
0
0
0
4
8
0
8
8
16
0
0
0
0
0
0
8
8
8
24
0
0
0
0
0
0
32
0
0
0
0
0
0
0
0
0
1
5
5
8
0
0
0
0
24
45
45
45
24
24
4
4
16
16
0
4
16
8
2
2
2
0
9
0
2
1
1
16
16
0
1
0
0
8
0
0
0
0
0
8
8
0
0
0
0
1
1
0
0
16
0
0
8
0
2
0
0
0
12
0
0
0
16
13
0
0
0
0
0
20
20
20
0
0
0
0
8
8
0
8
0
0
0
8
0
9
9
0
1
8
0
8
2
8
1
4
0
32
32
32
32
16
16
8
4
17
17
0
0
0
35
35
0
0
8
8
0
0
0
0
8
8
8
16
0
18
0
0
16
16
2
0
5
0
0
16
18
16
16
16
16
8
8
8
8
8
8
8
0
0
16
0
1
1
1
4
8
20
20
0
0
4
0
0
0
2
2
2
0
0
1
0
1
1
4
16
4
16
8
8
1
0
0
0
0
18
18
18
18
32
32
32
0
0
16
1
0
16
16
16
16
8
34
8
0
0
0
6
17
32
16
2
25
4
8
0
8
0
32
32
13
1
1
1
1
0
0
0
2
2
1
1
20
20
16
8
25
25
24
0
25
4
48
16
16
0
8
16
16
16
0
0
0
2
2
2
0
0
0
4
32
32
4
4
4
0
0
0
0
0
4
24
24
24
24
8
8
0
16
0
5
32
0
0
0
0
16
16
38
4
8
8
0
8
0
16
0
0
0
8
8
8
8
4
8
0
0
16
8
0
24
24
0
0
0
0
12
0
12
0
0
4
16
16
0
0
0
0
0
0
4
0
0
16
15
0
16
0
2
16
0
0
0
0
0
0
0
0
8
8
0
16
8
0
16
0
12
4
4
4
0
0
0
24
16
0
0
0
0
0
16
0
16
16
16
1
8
8
8
9
9
0
0
0
0
0
4
16
0
4
0
2
2
4
4
0
8
8
8
0
0
0
1
37
16
0
0
0
0
8
0
8
8
32
32
0
16
0
0
0
8
8
0
0
0
0
8
0
0
24
24
24
1
0
0
0
0
0
8
4
5
0
0
8
8
0
0
24
0
0
24
8
0
0
0
0
0
0
0
4
0
8
8
8
16
0
0
6
33
0
16
8
0
4
16
16
16
16
16
16
16
16
0
0
0
8
0
8
16
24
0
16
16
24
24
0
0
0
16
59
0
0
0
16
16
0
0
1
0
0
0
8
0
8
8
2
0
0
0
0
0
4
8
8
18
0
2
8
8
24
24
24
24
24
32
32
0
0
0
0
0
0
16
0
0
25
0
24
24
0
4
0
0
0
1
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
16
0
4
2
8
2
2
9
9
2
0
0
8
0
0
0
0
8
12
12
0
0
8
16
16
16
16
0
0
4
23
0
0
8
1
8
0
0
16
16
16
4
0
0
2
0
0
2
2
8
0
0
0
8
16
0
0
0
0
0
0
0
0
0
0
5
0
0
32
32
32
16
10
10
0
0
16
16
0
0
0
2
8
4
0
20
0
8
8
8
16
16
0
4
8
16
0
0
0
0
0
17
17
17
2
0
0
0
0
0
0
0
0
0
8
0
0
56
16
43
4
4
0
0
0
8
0
0
8
16
16
8
8
8
8
17
8
8
0
0
0
8
0
0
4
4
0
4
4
0
0
0
32
16
16
8
0
16
16
16
8
8
0
0
13
0
0
8
8
0
16
8
12
12
1
16
0
1
1
1
5
5
6
6
0
0
0
0
16
0
0
4
8
0
2
2
0
0
0
8
0
8
8
8
16
18
0
0
16
8
8
8
8
8
8
8
8
8
32
0
0
8
30
4
0
0
0
2
4
0
0
0
0
0
8
8
0
16
8
8
8
8
16
4
16
0
0
0
0
16
0
20
0
0
0
1
0
0
0
32
0
0
0
0
0
0
0
0
4
8
8
40
40
32
16
4
0
0
4
0
0
0
0
4
0
8
8
0
0
16
3
16
1
1
8
0
0
0
16
16
0
0
8
8
0
0
1
0
0
0
16
16
10
16
16
16
16
16
24
8
16
16
16
16
0
0
0
24
16
16
16
8
8
0
0
0
0
0
0
0
0
32
32
32
16
8
8
4
16
16
16
8
0
0
0
0
0
1
0
0
12
2
0
28
0
0
0
8
0
16
16
0
0
0
0
1
0
2
0
24
24
0
8
0
0
0
4
8
4
16
0
0
8
16
16
8
0
8
0
0
0
0
0
24
0
1
1
0
0
16
4
16
16
16
0
0
8
8
1
0
0
0
0
0
1
0
0
0
28
28
28
28
16
16
0
8
8
0
0
1
1
1
17
0
1
1
1
8
8
0
0
8
32
32
16
8
8
0
36
0
0
16
16
0
16
16
24
8
8
8
8
2
2
0
0
4
4
0
16
16
16
16
16
0
2
16
16
0
0
24
0
0
40
40
8
8
8
8
8
0
8
4
0
2
0
24
24
24
10
0
0
16
16
8
0
0
0
10
8
16
16
0
21
8
8
0
4
2
0
0
9
0
0
0
32
32
32
0
2
2
0
8
8
8
0
0
0
8
0
0
8
1
0
8
8
8
2
0
0
8
5
5
0
0
32
0
0
0
0
0
0
0
0
4
0
8
0
1
16
16
16
16
16
16
16
33
33
33
33
0
0
16
0
0
0
0
0
0
0
9
0
16
0
0
0
24
0
0
0
22
0
16
1
8
4
4
0
0
16
2
2
2
2
8
0
0
0
0
0
0
0
1
16
8
8
32
0
0
2
2
2
2
2
8
8
4
4
4
16
16
16
16
16
16
16
21
21
0
16
0
0
6
8
0
0
0
0
0
4
0
0
0
0
0
4
0
0
24
8
8
8
0
8
8
8
8
5
0
0
0
8
8
0
0
0
16
17
0
8
4
0
0
4
0
1
1
0
0
0
0
4
8
0
0
8
0
0
1
1
3
32
0
8
8
4
4
8
32
32
0
0
0
0
0
0
1
16
16
16
0
8
0
9
0
4
0
4
6
8
8
0
0
0
0
0
0
24
8
21
8
0
4
8
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
49
8
8
16
8
0
0
8
0
36
0
0
0
0
0
0
2
0
16
16
16
0
1
1
1
1
0
24
0
8
8
0
0
12
0
32
32
0
21
8
0
0
0
0
0
0
0
0
0
0
8
8
0
2
0
0
0
0
8
8
16
0
8
8
0
0
0
0
0
0
1
0
4
34
8
0
0
0
16
16
0
0
0
0
0
8
1
33
33
0
4
4
4
4
24
24
24
24
24
8
32
16
0
1
0
4
8
0
2
4
0
1
0
0
8
0
0
1
1
8
0
0
4
4
0
11
8
8
0
40
0
16
16
0
0
10
0
0
2
0
0
0
8
8
8
8
16
16
18
0
16
0
8
16
8
0
0
0
0
0
0
0
0
4
8
4
0
12
12
0
0
0
38
38
38
8
8
0
0
0
16
2
2
4
0
0
17
8
8
0
9
0
0
0
0
0
0
2
2
28
2
24
24
24
0
35
0
0
4
8
16
16
8
0
0
0
28
0
0
16
0
27
27
0
8
4
4
24
0
8
8
0
16
2
0
0
0
4
8
25
4
2
16
8
0
1
1
1
0
0
8
8
1
17
8
8
0
4
16
0
0
1
0
0
0
7
2
0
4
8
0
8
8
8
16
2
2
0
24
32
32
4
0
0
0
24
8
24
0
0
1
4
0
45
45
0
0
0
0
32
0
0
0
0
0
0
0
8
0
16
16
16
0
0
0
0
8
0
0
0
18
18
2
2
2
16
0
2
0
1
1
0
18
18
0
8
0
4
4
0
16
0
9
4
8
0
4
0
4
4
4
4
4
4
4
0
16
1
1
4
8
4
4
1
1
1
0
0
4
0
0
0
0
0
8
8
16
4
0
0
9
0
0
32
4
0
0
8
0
0
0
24
4
4
0
2
2
1
16
16
16
0
8
8
0
0
17
16
1
0
0
16
0
0
0
0
0
41
24
16
1
8
8
0
0
2
0
20
0
1
1
0
16
16
24
32
32
0
16
16
16
16
16
0
0
8
8
0
8
8
0
4
4
9
0
2
0
16
0
0
0
4
4
0
0
0
0
8
0
0
16
8
8
8
0
0
0
0
4
17
17
1
0
8
8
8
16
16
16
16
16
2
26
8
8
8
8
8
0
0
2
8
0
0
4
1
0
16
8
1
16
4
4
4
8
0
0
0
0
8
20
4
16
4
16
4
4
16
16
32
32
32
32
0
4
16
0
0
0
0
0
0
8
0
16
0
24
0
0
0
0
8
0
24
0
0
1
4
8
0
0
0
0
0
24
0
0
8
16
0
1
0
16
0
0
0
0
4
8
16
16
1
4
0
0
0
0
0
2
2
2
2
2
16
16
16
0
0
16
0
48
48
48
1
8
8
8
8
32
32
0
0
0
18
0
0
8
8
0
8
8
8
8
8
8
0
0
0
0
24
0
0
1
0
0
0
0
0
0
16
0
0
28
0
8
8
8
8
2
16
1
1
1
0
0
4
0
0
0
0
0
8
0
0
0
1
0
0
0
8
8
8
8
8
8
0
0
0
16
8
40
0
0
16
0
8
13
4
0
0
0
0
8
24
8
0
16
0
16
0
0
0
0
0
0
8
0
16
16
0
0
1
0
0
4
4
2
36
16
0
16
16
0
10
16
4
8
8
2
2
2
0
0
4
4
4
9
0
24
24
8
16
0
14
0
0
24
32
3
0
0
4
2
2
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
16
16
0
0
0
0
1
0
0
8
0
0
0
0
32
8
8
0
0
0
4
0
16
16
0
32
0
0
0
0
0
16
4
4
0
0
0
0
0
4
0
0
8
0
18
18
0
16
8
0
8
8
10
0
16
16
0
0
0
0
4
16
16
16
0
0
0
8
0
0
0
0
0
0
2
9
16
0
16
1
16
0
0
1
1
1
1
1
0
0
0
17
8
16
0
0
0
0
0
8
0
0
0
16
16
0
0
0
0
4
4
16
8
0
0
8
2
0
16
0
0
16
4
0
0
0
8
0
0
0
0
1
1
1
1
0
0
0
8
18
18
16
4
0
10
8
1
8
16
0
0
0
0
0
0
16
0
16
0
8
8
16
8
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
8
8
4
0
0
0
24
24
24
0
16
16
16
0
0
8
8
16
40
0
0
0
4
4
0
16
16
8
8
8
8
8
0
16
2
16
16
8
8
0
0
0
4
0
0
0
1
16
16
1
16
32
32
8
0
20
0
0
16
16
0
0
16
16
0
0
0
8
8
16
20
0
0
0
16
14
14
14
14
14
16
0
0
0
0
8
0
16
0
8
0
26
2
0
0
0
0
8
8
0
0
24
0
1
8
0
16
0
0
16
8
0
0
8
17
4
16
16
16
16
16
24
0
0
0
16
16
0
0
16
16
1
0
0
0
0
0
0
0
16
8
8
8
8
8
8
8
8
8
0
32
16
1
0
8
8
8
8
8
8
0
0
0
8
8
0
0
0
0
0
0
16
0
0
0
32
0
1
0
8
4
0
0
0
0
0
8
11
11
16
16
0
16
0
16
16
16
16
8
16
0
0
40
8
0
0
1
0
16
0
0
4
0
0
16
8
8
16
4
4
0
1
0
0
0
1
1
1
1
1
8
0
0
0
8
0
0
0
8
0
0
0
0
0
0
0
24
0
0
8
8
8
8
0
16
17
0
0
0
0
16
16
16
16
2
0
0
16
32
1
1
8
16
0
0
0
0
0
0
0
8
0
8
8
0
0
0
4
8
32
40
24
16
0
1
1
0
1
16
8
0
0
0
16
16
0
8
0
0
1
8
0
32
0
17
17
8
0
8
8
8
11
11
11
11
8
0
8
8
4
4
0
0
0
16
16
8
8
0
16
16
16
0
8
18
18
6
6
4
4
16
16
16
16
16
16
0
0
0
0
0
1
8
8
8
0
0
0
4
4
4
4
4
0
0
8
8
8
0
16
0
8
0
0
8
4
0
0
16
0
16
0
8
8
32
16
8
0
16
0
0
0
15
0
0
0
32
0
0
8
8
16
16
32
2
2
0
0
0
0
16
0
8
0
2
2
2
0
0
16
0
0
8
8
8
1
0
0
8
8
24
0
0
0
20
4
12
8
0
0
0
2
16
0
4
8
6
0
16
0
0
0
16
1
1
0
0
0
0
16
0
0
0
16
1
1
1
0
0
0
0
8
4
0
0
0
8
16
2
16
8
32
0
0
0
0
0
0
0
8
0
0
6
6
6
6
6
0
0
0
4
18
8
8
8
5
16
0
0
0
0
0
0
0
40
0
16
16
0
8
0
0
4
8
8
0
21
21
0
8
8
16
0
0
0
0
16
0
1
27
27
8
8
8
0
1
2
8
0
0
0
16
0
37
37
37
0
8
8
0
0
16
16
16
16
8
8
8
0
16
16
16
8
0
0
0
0
0
8
8
8
8
8
8
8
8
16
0
0
0
0
0
0
0
0
0
0
8
4
8
8
2
2
1
0
0
0
0
20
20
8
8
6
6
16
16
16
16
0
0
0
0
0
8
2
0
0
0
16
8
0
0
2
2
8
22
16
2
16
16
0
0
0
0
0
4
8
32
0
8
0
0
8
0
0
0
0
4
4
4
16
12
0
0
1
8
8
0
0
0
28
0
0
16
16
16
8
0
16
16
8
0
0
0
0
0
0
8
16
0
0
0
0
8
8
0
0
16
16
0
0
8
8
0
0
0
8
9
0
16
16
16
8
16
8
8
0
0
8
0
0
0
0
0
0
4
16
1
0
16
8
1
0
0
0
0
0
1
0
0
0
32
0
0
0
1
1
0
0
8
0
16
0
0
0
0
0
0
0
0
0
8
0
0
8
0
0
0
0
0
0
0
0
35
0
16
16
16
0
0
4
0
2
2
16
16
0
0
0
0
0
16
16
8
8
0
16
0
8
8
0
4
4
8
0
0
8
8
8
16
0
9
2
16
0
8
16
0
57
57
0
0
21
0
0
0
0
1
1
8
1
0
0
8
8
16
16
4
4
4
1
8
0
8
0
12
19
8
8
16
16
1
1
1
1
1
0
0
0
0
8
2
0
0
0
4
4
8
16
8
2
8
8
8
4
0
0
0
0
0
1
1
1
16
16
16
16
8
0
0
0
0
8
0
1
2
2
0
4
0
0
0
8
0
0
0
8
8
16
16
32
8
16
8
8
8
8
8
8
8
8
0
4
0
16
16
0
0
0
0
20
1
0
8
8
16
0
1
1
8
8
0
0
0
2
2
7
20
0
36
0
0
0
4
0
0
8
8
16
8
0
0
0
0
8
0
0
0
0
0
8
40
0
0
4
4
4
6
6
6
0
0
0
0
8
20
20
0
9
0
0
0
4
8
0
8
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
2
48
13
8
2
8
8
0
16
16
16
1
1
0
0
8
8
0
0
4
4
0
8
24
24
0
0
0
0
0
0
2
2
2
0
3
8
24
1
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
8
0
0
0
0
8
8
4
34
34
34
34
34
34
34
0
0
0
0
2
0
1
8
0
0
0
8
0
4
0
0
18
16
16
8
8
0
2
2
2
0
0
10
0
1
0
0
0
16
16
0
0
28
8
8
8
8
8
0
0
0
8
8
8
8
4
4
0
0
0
0
16
8
0
0
8
8
2
2
8
6
6
8
8
8
0
8
8
0
0
0
33
0
0
0
0
0
16
0
0
4
4
1
8
0
0
0
8
16
8
8
8
16
16
17
17
1
0
0
16
0
8
0
0
0
0
8
0
16
8
4
4
0
0
0
0
1
17
17
17
0
8
0
0
1
1
2
16
0
1
0
0
0
8
8
8
8
8
8
8
8
8
8
8
8
8
16
0
0
0
0
0
8
16
0
0
0
0
32
0
8
8
17
16
4
2
8
16
16
8
4
4
4
4
4
4
0
8
8
0
0
0
0
0
16
0
8
8
0
16
16
0
0
8
4
22
22
22
22
22
8
8
1
1
0
0
0
0
8
0
0
4
0
0
0
0
0
0
8
0
0
8
8
0
8
0
0
0
0
0
0
12
12
4
4
0
0
0
16
0
16
0
8
0
2
16
2
2
2
4
0
0
0
1
0
0
8
8
8
16
8
2
2
4
16
16
0
0
8
8
8
8
8
8
0
0
35
16
0
8
16
0
8
6
16
0
0
16
8
3
0
18
18
0
1
0
0
8
8
0
0
16
16
16
16
16
9
4
8
16
16
0
0
9
9
16
1
1
17
0
0
0
0
0
0
0
8
0
16
6
0
8
0
2
0
0
0
8
0
0
16
16
16
16
16
0
0
6
4
0
0
16
16
16
8
8
8
0
0
0
0
0
8
32
32
17
17
17
16
0
0
0
0
0
0
0
8
8
2
2
4
16
16
2
1
1
0
0
0
8
8
16
16
16
16
0
4
1
1
1
0
0
0
0
0
0
32
0
8
0
16
16
4
8
0
0
0
0
0
0
8
8
0
16
0
0
8
0
0
1
1
0
0
0
4
4
16
0
0
0
16
16
8
16
16
0
0
1
1
0
2
2
0
1
1
1
0
0
8
8
8
8
8
0
4
0
0
8
8
8
8
16
0
0
0
0
8
0
1
1
0
8
0
0
8
8
0
0
0
20
36
0
16
24
24
24
16
16
16
16
8
8
8
0
0
12
8
0
0
0
0
12
0
16
16
0
0
36
36
36
0
0
0
0
8
32
32
32
16
0
0
0
0
1
0
0
16
0
0
0
4
4
0
8
16
16
24
0
0
0
0
8
8
8
24
16
16
1
16
16
10
23
0
24
24
0
4
4
4
4
4
4
4
16
0
0
8
32
4
26
0
0
0
8
8
24
0
4
16
0
0
0
0
0
0
0
0
0
0
1
0
0
8
8
4
8
8
0
0
0
0
0
0
16
8
8
0
0
0
0
0
16
16
0
0
0
0
17
17
4
2
0
0
16
2
12
0
16
0
0
0
0
44
0
0
0
0
0
0
0
0
0
0
1
0
24
16
16
16
4
4
0
0
4
16
0
0
0
0
16
0
2
2
2
2
2
2
0
0
0
1
1
0
0
0
0
0
0
8
8
16
0
20
20
0
8
0
0
0
0
4
4
0
16
16
0
8
6
16
16
16
0
4
8
1
8
16
4
16
8
8
8
16
16
0
0
0
0
0
4
4
0
0
0
0
0
8
0
0
0
8
8
8
0
16
0
8
16
16
8
0
4
4
4
4
0
8
8
0
16
0
0
0
8
8
0
4
0
0
18
0
16
0
8
4
4
4
4
4
4
4
8
8
9
9
2
0
4
8
8
0
8
0
8
8
4
0
0
32
2
2
4
0
0
8
0
0
2
16
8
8
0
0
24
16
16
16
8
8
0
16
0
0
0
8
8
0
8
0
0
8
18
0
0
16
16
16
16
16
16
8
8
8
16
25
25
16
16
1
8
0
4
4
0
0
8
0
0
0
0
0
8
8
0
1
0
0
16
0
0
0
0
16
0
0
8
8
8
8
0
8
0
0
16
16
0
0
8
9
16
0
0
0
8
8
16
8
8
36
0
0
4
4
0
4
4
24
8
8
0
0
10
25
16
4
4
4
0
8
16
16
16
8
2
0
16
16
16
16
16
16
16
1
0
16
16
0
0
0
8
0
8
0
0
8
8
0
0
2
0
0
0
0
0
4
8
8
8
26
26
16
0
0
16
16
8
8
0
0
0
16
16
0
0
0
8
24
0
8
8
0
4
4
8
32
24
24
24
0
0
16
16
8
8
0
24
0
16
16
16
16
16
0
4
8
8
0
0
0
32
8
8
0
0
0
8
24
24
24
8
10
0
0
4
4
4
4
0
0
8
1
1
32
0
0
8
28
1
0
0
0
1
0
4
8
16
0
0
0
8
1
0
0
0
0
0
0
0
2
0
16
17
17
8
8
8
0
0
0
0
0
0
8
0
0
20
32
8
0
0
4
4
8
0
8
1
8
0
0
0
0
0
4
0
0
16
16
16
49
49
49
49
49
0
16
8
32
8
8
8
8
8
0
0
0
8
0
0
0
16
8
0
8
9
0
0
2
2
0
8
0
0
16
16
16
0
0
16
16
0
0
0
0
0
8
16
16
16
0
32
47
16
0
0
8
8
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
4
32
32
32
0
0
0
8
0
16
0
0
4
4
8
8
8
8
8
0
0
0
0
16
8
4
8
24
28
1
8
8
0
12
12
0
0
4
4
0
0
0
0
16
16
16
2
2
2
8
0
0
0
0
0
0
0
16
0
1
9
33
16
16
0
0
0
0
0
8
8
0
0
2
0
0
0
4
4
4
0
18
18
18
8
0
0
0
0
0
0
0
8
8
0
24
24
24
8
8
8
8
0
0
0
2
0
8
4
4
4
4
4
4
4
8
0
0
16
0
0
1
0
0
8
8
8
0
0
0
0
8
8
0
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
8
8
8
12
12
0
0
0
0
0
8
8
8
8
16
16
8
8
24
24
8
0
0
0
0
16
4
4
4
2
0
0
0
0
16
0
0
8
0
0
1
0
0
4
4
16
0
0
0
25
25
2
0
0
8
8
8
8
0
16
16
16
0
0
0
24
0
0
4
1
16
0
0
0
8
16
16
8
8
0
1
8
0
4
0
16
0
0
0
0
0
16
32
32
32
8
8
8
0
8
4
32
32
4
18
18
18
18
0
8
16
16
16
16
16
16
0
8
8
8
4
4
2
2
4
16
16
16
16
0
0
0
16
16
0
0
0
16
8
8
2
0
16
0
44
0
0
8
0
6
0
8
8
0
0
0
0
0
8
0
0
16
0
0
0
8
0
0
0
0
0
24
32
0
0
0
0
1
1
1
8
0
0
0
16
0
0
25
16
16
16
0
8
8
0
0
0
0
2
0
0
0
0
0
36
0
4
0
0
0
16
0
4
4
4
4
16
28
28
0
0
8
20
20
0
0
0
0
0
0
32
0
0
0
0
0
0
0
2
2
8
4
0
2
8
0
0
0
0
8
0
8
0
8
16
8
1
8
8
8
8
0
8
16
0
0
0
24
0
0
0
0
0
0
8
16
16
1
16
0
0
0
0
0
0
0
0
0
0
0
0
24
8
0
0
18
0
8
16
16
16
32
32
0
9
8
0
1
0
0
0
0
0
4
16
8
16
8
0
0
1
0
0
0
0
0
0
0
49
8
8
16
4
0
0
0
0
0
0
0
0
8
8
8
8
0
4
16
16
0
0
0
0
8
4
4
0
0
0
8
8
57
0
16
16
16
0
0
0
0
8
0
24
24
4
4
8
0
4
0
0
0
24
24
0
0
0
0
2
32
0
0
0
0
0
0
0
8
8
0
0
0
0
1
0
0
0
8
0
0
32
32
32
0
0
8
16
3
0
0
0
4
4
4
0
0
0
8
0
18
0
0
16
0
0
1
1
1
1
16
0
0
0
0
0
40
16
5
0
0
0
0
0
0
0
0
0
0
0
1
16
16
0
8
3
0
10
8
0
8
0
8
8
8
8
0
0
8
8
0
0
0
8
8
16
16
16
0
0
0
3
0
0
0
0
32
10
0
16
8
1
0
8
0
0
0
0
0
16
16
1
8
0
10
0
0
0
0
0
8
16
1
0
8
8
8
0
8
2
2
2
2
2
2
2
16
0
0
0
2
16
0
0
8
0
0
0
0
0
8
8
2
0
0
0
0
0
0
16
16
2
2
16
0
2
2
2
0
0
0
4
4
0
18
18
1
1
0
0
0
0
0
0
0
0
0
4
4
0
4
8
16
16
8
16
16
16
0
0
0
16
0
0
0
16
0
0
0
0
0
0
0
0
16
0
0
32
0
0
0
0
0
0
0
0
0
0
0
16
8
0
0
0
0
0
0
8
8
8
8
0
16
16
0
0
1
0
0
0
0
8
16
16
16
0
40
32
32
8
0
0
8
8
0
0
20
8
18
16
0
0
0
16
8
8
8
8
8
8
8
0
16
8
1
0
0
8
12
0
8
8
8
8
0
8
16
16
3
8
8
4
0
0
16
2
16
16
8
0
0
8
8
2
0
0
0
0
16
16
16
16
0
16
0
0
0
0
0
0
16
0
0
16
1
17
10
10
8
0
0
0
5
8
4
8
8
8
16
16
16
1
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
1
20
8
8
0
0
1
0
0
16
16
0
8
8
2
8
10
34
4
0
0
8
16
16
0
32
32
0
4
16
0
16
0
0
8
0
0
8
8
0
0
0
0
0
24
1
1
0
8
8
16
8
8
0
0
0
0
0
48
48
8
8
8
0
0
0
0
0
0
16
56
56
0
8
4
4
0
0
0
0
0
0
1
1
0
8
8
0
0
0
16
0
0
0
0
0
0
1
1
8
0
20
20
34
34
34
34
34
34
4
0
0
0
0
8
4
0
5
5
32
0
14
0
0
8
8
8
0
4
8
0
8
0
0
0
1
1
1
1
1
1
1
56
0
16
0
0
0
16
16
16
0
0
28
32
0
0
0
0
8
8
1
0
0
0
0
0
4
0
8
0
8
0
16
8
8
8
8
4
4
4
4
16
4
4
2
0
0
0
32
8
8
5
0
0
8
8
8
8
0
8
8
1
16
0
8
8
8
8
0
16
0
4
2
0
0
4
0
3
3
3
0
0
0
8
0
0
8
8
8
9
0
0
8
0
0
0
0
0
8
8
0
8
4
0
16
32
8
17
0
0
0
0
8
0
0
0
32
4
4
8
0
4
0
8
0
0
8
0
32
0
0
0
0
0
0
0
0
18
0
0
0
0
0
0
0
4
4
4
48
0
0
0
0
0
8
0
32
0
4
8
8
6
0
0
0
8
16
0
8
16
0
0
8
8
8
8
1
0
4
8
4
0
48
48
48
16
0
16
32
8
1
30
2
2
4
4
2
16
0
0
0
20
17
8
8
8
0
0
0
0
16
16
16
16
16
0
0
0
0
0
16
0
0
0
0
16
16
16
0
0
0
0
8
8
8
0
0
0
8
8
8
8
0
0
0
0
0
0
40
40
9
16
0
0
8
1
1
1
4
8
1
1
1
8
24
24
24
24
24
0
0
0
0
8
8
4
4
6
0
0
16
0
16
32
8
8
16
0
16
0
0
10
10
10
16
4
0
32
0
0
0
0
0
0
1
0
0
16
17
16
0
8
0
8
0
0
8
0
0
0
1
16
1
16
0
0
2
9
9
4
0
0
0
1
1
0
4
0
16
16
8
8
8
8
8
0
28
0
0
0
0
0
8
1
0
48
48
4
8
8
2
8
0
0
0
0
0
8
0
0
0
0
0
0
0
4
0
0
0
16
8
0
16
16
20
20
8
8
4
8
2
6
0
0
40
0
0
0
3
32
8
17
24
0
8
8
1
8
0
0
32
32
0
0
0
0
4
4
24
16
16
8
0
4
0
0
0
1
17
17
17
0
8
8
8
8
0
8
8
8
4
0
0
0
0
0
0
0
0
0
24
24
16
8
33
33
0
0
6
6
16
0
0
16
45
16
8
0
0
0
8
0
0
0
16
0
0
0
0
0
0
48
48
0
16
16
16
0
25
16
0
22
4
0
8
0
12
16
16
0
0
0
0
2
2
0
0
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
8
0
4
4
4
16
0
4
0
0
0
0
0
9
32
32
0
8
16
16
16
20
20
0
0
0
0
0
0
0
8
8
16
0
0
8
8
8
16
0
0
0
0
0
16
16
16
16
0
16
8
0
8
8
8
4
48
48
0
0
0
1
1
0
4
16
16
16
8
0
16
16
16
0
8
24
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
16
16
16
0
0
0
0
32
8
2
0
0
0
9
0
8
2
2
0
0
0
0
8
8
8
0
0
8
0
8
28
0
0
0
2
2
0
0
8
8
8
16
0
0
32
16
16
16
0
0
0
0
0
0
2
8
1
1
1
0
0
0
16
0
0
4
12
12
12
0
8
8
0
2
2
16
16
1
1
8
0
9
9
9
8
8
8
0
0
8
0
16
0
32
0
0
0
8
0
8
0
0
0
2
8
16
16
0
4
0
0
0
0
44
0
16
0
0
2
2
0
0
4
4
0
16
16
0
8
0
0
1
16
16
0
8
8
8
8
8
0
0
0
0
8
8
16
4
4
8
0
16
8
0
16
0
0
8
1
1
1
0
0
0
0
0
0
0
0
2
4
4
0
0
0
8
0
0
0
0
4
0
0
0
0
0
0
8
8
8
8
0
0
2
2
17
17
16
16
0
0
0
4
0
0
0
0
0
0
8
0
0
0
32
32
1
8
8
16
0
0
0
0
8
8
8
0
8
8
0
0
0
0
16
0
1
8
8
0
8
4
16
16
0
8
8
8
0
0
0
0
16
8
2
2
2
16
0
0
0
0
0
8
0
0
8
1
0
0
0
0
0
0
0
6
17
17
16
2
0
8
8
8
32
0
0
16
0
8
8
1
0
0
2
2
6
0
9
0
0
0
8
8
16
2
0
0
8
16
16
0
26
18
4
4
2
4
4
21
0
0
8
4
0
0
16
16
8
3
3
40
40
40
2
2
8
8
0
0
10
0
0
4
8
8
16
20
16
16
16
0
9
0
2
0
16
16
0
0
0
0
12
6
4
8
0
0
0
0
0
0
0
0
0
0
0
16
24
8
0
0
0
40
0
0
16
16
16
16
1
8
8
8
0
0
1
16
16
16
0
0
23
8
16
0
0
16
8
0
4
2
18
18
0
0
8
0
17
0
0
0
0
0
8
8
16
8
16
16
16
0
16
4
0
0
8
1
1
4
4
8
8
8
8
0
0
0
8
16
16
0
0
0
0
8
16
16
16
16
16
16
16
0
0
0
37
8
8
1
16
0
0
0
0
0
0
0
16
22
0
4
0
16
8
8
0
8
0
0
4
4
4
8
8
0
0
0
2
0
16
24
24
24
1
1
0
0
0
0
0
12
12
0
0
0
0
0
0
1
32
20
32
20
20
56
1
4
8
16
25
5
1
7
0
16
0
16
0
8
0
0
4
4
4
8
2
16
16
1
0
8
8
0
1
32
0
0
0
8
0
0
8
0
0
24
34
0
0
1
8
16
20
8
0
0
16
16
16
4
4
4
16
8
0
0
0
0
0
0
0
8
0
8
0
8
1
0
16
0
0
0
0
0
0
4
8
8
0
0
0
4
0
0
0
0
0
1
1
1
1
0
0
10
10
20
0
0
0
0
4
0
0
2
4
0
0
0
0
0
0
0
0
0
0
0
16
0
8
0
0
32
32
32
32
32
0
16
4
16
8
8
8
4
0
4
4
8
8
8
0
0
16
8
8
0
0
0
0
0
0
16
16
16
0
0
0
20
8
8
0
0
24
16
16
16
16
16
0
0
0
1
1
8
16
5
16
4
4
16
16
16
0
24
24
4
8
0
0
12
0
0
0
8
8
8
8
16
0
8
0
0
16
16
8
16
0
8
4
0
0
0
0
0
4
0
0
8
8
16
0
0
16
16
8
2
2
0
0
0
8
0
8
0
8
8
0
0
8
16
0
1
2
18
0
0
0
8
0
0
0
0
0
0
4
0
32
32
32
32
32
0
0
0
0
0
0
0
0
20
0
0
0
1
1
2
0
0
1
0
0
0
1
1
16
16
0
16
16
32
16
16
16
8
8
16
4
0
0
0
0
0
2
0
0
0
0
0
0
16
16
16
16
16
0
0
8
8
8
0
0
0
0
1
0
0
0
0
0
0
0
8
0
0
18
16
16
0
0
8
0
32
1
0
8
8
8
8
1
0
0
16
16
0
0
16
2
0
8
0
8
0
4
4
16
16
16
16
16
1
16
1
1
8
0
0
8
16
16
18
18
18
0
6
2
0
14
14
0
0
0
4
2
2
0
0
0
0
8
16
8
0
8
8
0
0
24
20
0
0
1
0
0
4
8
16
0
0
16
0
0
24
0
0
0
0
0
16
8
24
8
8
16
6
8
8
2
24
24
8
8
0
8
0
8
0
16
8
4
0
8
8
8
24
8
0
16
0
0
0
0
0
0
0
16
0
24
1
1
1
0
0
0
0
0
0
50
8
8
8
0
0
0
0
16
0
4
4
4
8
4
4
4
4
4
0
0
8
0
16
16
16
16
0
0
37
16
16
0
0
2
0
8
1
16
16
4
4
4
1
1
1
1
10
8
8
0
0
4
9
0
0
21
21
16
8
16
0
0
0
0
0
0
16
20
32
0
7
2
25
0
0
0
0
0
0
0
0
10
10
10
10
1
24
0
0
16
8
8
16
0
0
2
1
0
0
0
0
16
16
0
4
4
0
9
9
16
16
0
0
0
0
0
6
6
1
0
0
8
8
8
8
1
8
8
8
0
0
8
0
0
0
0
8
0
0
8
0
32
16
0
16
0
1
0
0
0
0
8
0
0
16
4
24
0
16
1
0
8
0
0
0
0
0
0
25
25
25
25
0
0
0
0
0
0
0
17
17
17
17
0
0
0
0
4
0
4
0
0
0
0
0
0
16
24
8
24
0
41
16
0
0
0
0
8
8
4
4
0
4
32
8
0
0
4
4
4
2
1
1
16
0
8
8
16
16
0
0
0
0
8
4
1
0
0
8
8
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
16
0
8
8
0
4
0
4
0
4
2
2
2
2
8
8
0
0
8
8
8
8
8
8
8
0
52
0
0
0
16
1
2
1
1
0
0
0
8
0
0
0
0
2
4
4
4
60
60
0
0
0
0
16
0
0
16
0
8
0
0
4
0
16
8
8
0
0
1
1
1
0
0
0
0
0
0
8
0
0
16
0
0
10
0
16
16
8
4
8
0
0
0
0
0
0
0
0
0
0
8
0
0
4
0
8
0
0
8
16
0
0
0
0
1
0
0
8
22
22
0
0
2
0
0
17
17
17
16
8
8
1
1
8
8
4
4
16
0
24
24
24
24
8
4
16
6
8
0
0
8
0
8
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
48
1
1
16
16
16
16
16
0
0
0
8
0
21
0
0
0
8
4
4
8
0
0
36
36
0
0
0
0
0
0
0
0
8
2
4
4
16
16
12
16
16
16
0
0
0
0
0
4
4
8
0
0
0
0
8
8
8
20
0
8
0
16
16
0
0
0
0
0
4
8
8
0
0
0
20
8
0
16
8
8
0
0
16
16
1
8
8
0
16
0
0
0
0
0
0
0
0
0
8
0
0
8
8
2
2
8
1
0
0
0
0
0
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
1
0
0
0
0
16
0
0
16
16
0
8
8
8
0
0
4
4
1
8
20
0
0
0
2
2
2
0
0
0
0
0
4
4
4
0
1
0
0
0
0
0
8
0
8
0
0
0
8
0
0
0
16
0
0
8
1
0
0
0
0
0
0
0
16
0
4
8
2
16
4
0
8
0
0
0
0
0
0
0
4
8
16
8
8
8
8
8
8
32
32
0
0
0
0
0
0
0
8
8
0
0
0
0
0
8
0
4
8
0
1
8
16
16
16
16
16
8
0
0
9
8
8
8
8
8
8
8
8
8
0
0
8
9
0
0
16
0
20
0
0
0
0
0
4
4
0
0
8
8
0
0
0
0
0
0
0
0
8
16
8
0
0
0
0
0
0
0
0
0
0
57
20
32
2
4
0
8
0
2
0
8
0
0
0
0
8
8
8
0
0
0
0
3
0
0
0
0
1
0
8
0
0
0
0
0
0
8
8
16
0
3
8
8
4
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
16
0
16
0
0
0
0
0
0
8
0
0
8
8
5
4
0
10
4
0
34
8
8
4
0
0
0
0
8
0
2
2
0
0
0
16
6
16
0
0
0
8
0
0
0
16
16
8
9
4
0
0
0
8
0
0
17
8
8
8
8
0
0
0
0
0
8
8
8
8
8
0
8
16
0
0
0
0
0
0
0
0
0
4
0
0
0
44
44
44
44
0
0
8
8
8
0
24
1
0
16
8
8
1
0
0
0
0
24
0
0
0
0
0
8
0
0
0
8
0
0
16
8
8
8
8
8
8
0
8
8
8
32
16
8
0
18
18
18
16
0
0
0
0
0
0
0
16
0
0
8
0
8
0
0
0
32
4
4
4
0
32
0
1
0
0
1
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
16
0
4
2
0
0
0
4
16
16
16
0
0
0
0
0
8
16
16
16
0
0
0
16
9
1
1
1
0
8
16
16
16
0
16
16
0
0
0
17
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
4
0
0
0
24
0
0
0
0
16
16
0
16
0
0
32
8
8
8
21
21
0
2
2
8
8
0
0
0
0
0
21
0
0
0
2
2
2
0
16
2
8
1
1
20
20
20
4
0
16
16
16
0
16
0
4
1
1
1
16
16
8
0
16
16
16
16
0
16
8
0
0
0
0
0
0
0
4
0
8
4
1
18
8
8
8
1
1
0
8
0
16
16
0
24
0
28
0
0
10
0
0
0
0
0
0
0
34
34
0
14
24
2
2
16
8
5
0
3
3
0
0
0
2
0
0
8
8
16
0
24
2
8
0
0
0
8
0
0
0
0
16
8
8
0
8
8
0
0
0
0
0
0
16
0
0
4
4
4
4
8
0
0
0
0
0
0
0
8
8
0
0
0
16
16
8
8
0
8
2
0
4
0
0
8
16
0
0
4
0
18
18
1
1
8
1
0
0
1
0
8
16
0
8
0
0
8
2
2
0
0
0
0
8
0
8
10
8
8
4
0
8
7
8
2
0
8
8
0
18
16
32
8
0
0
0
8
0
0
0
0
8
1
24
16
0
0
8
12
12
12
4
8
8
16
24
0
0
8
8
8
1
16
16
0
0
8
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
8
8
8
0
0
0
0
8
8
8
8
8
0
0
0
0
0
16
16
4
0
8
2
8
16
16
0
4
0
1
1
8
0
0
16
0
0
0
0
0
8
0
16
16
8
8
0
0
8
0
8
0
0
0
0
8
8
8
0
0
16
8
1
0
8
16
0
0
0
8
0
8
4
4
0
20
20
4
4
4
0
0
0
0
8
0
0
0
0
0
0
8
0
0
0
0
0
8
8
8
1
1
1
0
4
0
0
0
0
0
0
1
2
16
16
0
3
16
0
4
4
20
8
0
16
0
0
1
8
8
0
8
0
0
2
0
0
0
0
0
0
0
0
16
0
16
0
0
0
0
2
0
0
8
0
0
8
20
20
0
0
2
2
0
0
0
0
0
0
0
0
0
0
0
1
4
4
4
0
0
8
8
8
8
8
1
0
0
0
1
24
0
16
24
26
48
48
0
1
1
0
0
0
0
8
8
2
0
0
16
0
0
8
0
6
6
16
0
0
0
8
2
0
0
0
8
0
0
0
0
8
8
1
0
0
33
33
4
4
0
0
8
0
0
8
4
0
4
8
8
8
8
8
8
0
16
4
0
0
0
0
0
0
2
2
8
16
0
16
16
16
0
24
4
17
17
0
0
0
8
0
16
16
8
3
0
0
8
8
8
0
8
16
2
2
2
2
2
22
3
27
0
0
0
1
1
0
0
0
0
0
24
8
17
17
0
1
0
8
16
16
1
4
0
0
0
0
1
2
8
2
2
2
17
0
5
0
0
0
0
6
16
16
8
8
24
24
16
8
8
0
2
2
0
2
2
8
0
0
16
16
4
0
16
0
0
0
1
1
24
16
16
0
8
4
0
24
2
0
0
0
0
0
16
16
16
0
0
0
0
0
0
8
4
0
4
4
24
8
0
0
16
16
0
0
0
4
4
4
0
16
0
8
0
0
0
0
0
0
8
0
0
0
16
16
0
0
0
4
8
8
0
8
0
0
8
32
32
8
8
4
4
2
8
16
25
0
0
0
0
0
1
8
0
0
0
0
0
16
16
8
8
0
0
0
0
0
0
0
4
0
0
2
2
2
8
4
0
0
0
8
10
8
0
0
8
1
1
8
0
0
0
0
20
20
20
8
8
0
0
0
8
0
0
0
1
0
16
0
16
0
0
8
0
8
0
0
0
0
1
0
2
2
8
1
8
8
0
0
0
0
8
0
0
0
0
8
8
2
0
0
16
16
0
0
0
0
8
24
24
0
16
0
8
16
16
0
0
4
0
16
0
8
16
16
16
0
8
0
0
0
0
0
0
8
8
8
1
4
1
0
0
0
16
0
0
0
8
0
40
0
12
0
0
32
32
8
1
0
0
16
0
0
32
32
0
0
0
0
0
0
16
0
0
0
0
8
12
0
0
0
0
0
16
16
16
16
1
8
1
0
0
0
0
0
1
0
0
0
16
16
0
0
0
0
8
6
6
6
2
2
16
16
16
16
16
16
16
1
1
0
32
0
16
0
0
16
8
8
0
20
0
2
8
8
8
8
0
0
0
0
0
0
0
8
8
0
0
0
0
8
4
0
0
0
8
8
0
0
0
0
0
0
8
8
8
0
1
0
0
0
4
28
0
4
16
1
1
1
8
2
0
8
0
4
4
0
0
0
0
0
0
24
48
34
0
0
0
0
0
16
8
0
0
0
16
24
24
8
0
0
0
12
0
0
0
0
0
0
1
0
0
0
0
0
26
0
0
0
0
0
0
8
8
16
16
1
8
8
0
16
0
0
8
8
0
0
0
1
0
0
8
8
8
8
0
0
4
24
4
4
0
24
24
24
0
8
0
16
16
8
0
0
8
1
1
1
1
2
0
0
0
0
16
0
16
0
8
8
16
16
16
16
0
0
0
17
17
17
56
8
0
0
0
6
0
17
0
16
0
2
0
8
8
8
0
8
8
8
8
0
0
0
0
16
24
0
0
8
1
0
4
4
8
0
0
0
0
20
0
0
0
2
2
0
0
16
0
0
8
8
17
8
0
16
8
4
0
0
0
48
48
0
4
16
16
8
8
8
6
16
0
0
33
33
8
8
8
16
0
0
0
1
1
0
0
0
8
0
0
0
0
0
0
1
25
1
16
8
8
0
0
16
0
0
0
16
32
24
16
0
0
0
8
24
0
0
0
0
8
2
16
0
0
0
8
32
32
32
32
32
8
1
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
6
0
4
0
0
0
0
0
33
8
0
8
0
0
0
32
32
32
4
16
4
32
2
0
18
0
0
0
0
0
0
0
0
2
2
4
0
20
20
20
0
0
0
8
16
0
3
8
0
0
0
0
0
0
0
0
24
0
16
6
0
0
16
0
0
0
16
0
0
0
0
0
0
16
0
0
4
0
4
16
16
16
16
24
24
24
0
24
4
4
9
24
24
0
0
8
4
0
4
4
0
0
0
0
0
8
8
0
0
0
8
8
27
27
27
0
4
4
0
0
0
4
4
16
4
4
0
16
16
16
24
16
24
0
8
0
8
8
8
0
0
16
16
8
8
8
24
24
24
8
8
0
0
1
0
2
0
4
2
4
0
32
32
32
8
8
20
20
20
8
16
1
1
32
32
4
0
16
1
1
1
4
4
32
10
10
0
0
0
0
56
56
0
16
0
8
4
0
1
1
16
16
16
0
0
0
2
8
0
0
0
0
0
0
0
20
20
16
4
0
0
0
0
2
0
16
16
16
16
24
8
16
4
4
4
0
0
0
16
16
16
16
16
8
8
8
16
8
8
8
0
8
8
2
4
0
0
0
8
8
0
2
0
0
0
0
6
6
16
0
16
8
16
0
0
0
0
0
16
16
0
6
6
6
8
0
0
16
0
0
0
0
0
0
0
16
0
12
8
1
1
16
0
0
0
0
0
0
0
17
16
0
0
16
0
0
0
16
16
16
1
0
4
0
8
8
0
0
5
0
8
0
16
41
61
0
0
16
16
0
0
13
2
8
0
0
8
8
0
0
4
4
0
0
0
16
16
16
16
18
0
1
1
0
0
0
0
16
8
8
8
0
0
0
8
0
23
23
0
0
8
4
0
0
0
0
8
8
4
8
0
18
24
8
8
8
16
16
0
0
16
16
8
0
0
1
8
8
0
4
16
16
0
1
1
1
1
0
0
0
0
24
8
0
4
8
0
0
0
0
2
0
8
4
16
0
8
8
8
8
2
13
1
4
0
0
0
2
2
2
2
1
0
0
0
0
0
0
0
0
0
2
2
32
32
32
24
4
0
0
0
0
0
8
24
1
0
8
8
42
0
8
0
45
45
8
8
8
8
8
0
8
8
25
0
0
10
0
0
0
4
0
0
17
0
0
0
0
25
25
0
16
4
4
16
8
1
1
2
16
16
16
0
16
26
0
0
8
12
16
0
0
0
0
4
4
4
8
0
17
1
1
5
0
16
4
0
0
0
1
0
33
0
0
0
0
0
0
0
8
8
16
0
0
0
16
8
8
16
0
0
2
2
0
0
16
16
16
0
0
0
0
0
0
0
8
16
0
0
20
4
16
16
0
0
0
4
0
0
0
0
16
0
32
0
1
0
0
8
0
8
0
0
0
0
36
0
0
0
0
16
16
0
6
6
8
8
0
16
16
8
0
21
21
21
21
32
32
32
0
60
16
16
0
0
0
4
0
0
0
8
8
16
16
0
0
8
0
8
8
0
0
0
8
0
0
0
4
0
0
0
0
24
8
8
32
2
2
2
0
0
0
0
0
0
2
0
8
8
26
26
0
17
2
2
0
0
0
0
0
0
16
16
0
0
16
0
8
8
8
16
16
16
16
16
16
16
16
16
16
16
16
16
16
0
0
0
0
0
0
0
0
0
0
2
4
4
4
0
1
4
8
8
16
8
8
8
20
0
0
8
8
8
8
0
0
0
0
0
19
0
16
16
16
16
0
0
0
16
0
7
0
16
0
4
0
0
0
0
45
0
0
0
16
16
0
0
0
8
2
6
0
8
1
0
0
16
0
8
8
0
8
16
4
16
0
8
4
0
17
16
0
0
0
8
16
16
0
4
16
40
40
40
40
40
0
4
4
16
0
0
8
0
0
0
0
0
8
8
0
0
8
8
0
0
0
8
8
0
4
0
0
1
1
18
4
0
0
0
4
8
4
0
0
0
0
2
2
0
32
0
0
0
0
16
4
4
4
0
40
40
40
0
8
0
8
0
0
0
0
0
16
0
0
0
20
17
17
26
24
24
4
16
16
16
8
8
8
8
0
16
8
8
8
0
0
4
4
0
0
25
0
8
8
0
8
8
0
2
8
0
4
2
16
2
0
0
0
2
2
0
8
0
24
0
16
16
16
4
0
8
0
8
0
8
8
8
0
0
0
0
0
0
1
11
0
0
4
4
4
4
0
0
0
16
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
16
2
2
17
8
16
16
0
0
0
8
0
0
6
0
0
0
32
32
32
0
0
0
0
20
12
0
0
16
16
16
16
8
41
0
8
0
0
4
16
28
28
28
0
16
16
16
0
0
39
39
39
39
39
39
8
8
0
0
8
6
0
0
0
0
16
0
0
16
8
0
0
1
0
8
8
0
8
1
0
16
16
16
2
0
0
0
8
8
8
0
32
0
0
0
0
0
0
16
16
0
0
2
0
8
4
4
4
1
0
0
1
0
0
17
0
8
0
0
2
8
16
19
19
19
19
8
0
0
0
24
0
0
12
12
0
8
8
8
0
9
9
9
16
9
4
4
4
4
0
16
0
0
1
0
0
8
8
8
32
8
16
8
8
1
1
0
0
0
8
8
16
32
0
1
0
0
0
12
0
0
0
0
0
16
2
20
20
20
8
8
8
25
8
8
0
0
0
0
4
4
16
8
8
0
0
32
16
16
24
0
0
16
16
40
0
8
16
8
0
0
24
0
0
4
0
0
10
0
0
0
0
0
20
0
0
1
0
0
0
2
17
0
1
0
0
0
0
0
8
0
0
0
0
8
8
0
0
0
0
16
0
8
0
16
2
4
0
0
4
1
1
1
1
1
16
0
0
0
2
16
0
0
0
17
8
16
0
0
4
8
0
4
0
8
56
0
8
8
8
8
8
0
0
0
0
0
0
32
32
16
0
6
0
16
0
0
2
2
0
0
8
8
16
0
0
1
1
16
16
0
8
16
12
8
8
8
8
0
0
0
1
1
16
0
1
0
0
8
8
16
4
36
0
0
0
4
4
12
0
0
16
16
16
16
16
2
0
0
1
0
0
0
8
0
0
25
1
0
0
16
0
0
0
0
8
16
16
0
4
8
0
0
12
12
0
8
8
0
16
0
0
8
8
8
0
0
8
0
0
0
16
16
16
8
8
26
0
0
0
16
32
0
0
24
0
0
0
0
32
8
8
16
2
8
0
0
8
0
0
0
8
16
16
0
8
2
0
0
0
16
24
0
2
0
0
32
0
16
16
16
16
8
8
8
8
8
0
0
0
0
0
8
8
5
40
40
0
0
10
0
0
8
0
0
0
28
28
16
8
0
16
0
0
0
0
0
1
8
8
8
4
0
0
8
9
0
0
8
0
4
2
0
0
8
0
0
0
0
0
1
0
0
0
16
16
16
8
0
16
16
16
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
16
16
8
16
0
8
8
0
0
0
0
0
8
4
4
4
0
0
4
4
4
4
4
0
0
0
4
0
0
0
0
8
0
0
0
0
20
20
24
32
0
9
0
0
0
0
0
8
8
8
8
0
0
0
16
16
16
0
0
0
16
0
0
0
8
8
8
0
0
0
0
0
0
16
0
16
16
8
0
16
4
4
4
0
0
0
0
0
0
4
2
2
4
8
48
8
8
0
0
16
0
0
1
0
18
18
0
8
0
0
4
0
0
0
8
0
16
8
8
5
20
20
0
16
0
0
0
8
32
2
0
0
0
8
16
16
16
4
4
16
0
0
0
0
16
32
32
32
32
2
2
16
8
8
8
8
0
0
0
8
1
1
1
0
16
2
2
0
16
8
0
0
8
0
0
0
0
1
8
4
57
57
20
0
0
0
0
0
8
1
1
0
0
16
16
0
0
17
1
1
1
32
0
0
0
0
16
16
0
8
0
2
0
0
0
45
45
25
0
0
16
0
1
0
0
0
37
0
32
32
32
0
0
0
17
0
0
0
4
8
8
8
8
8
8
8
0
0
0
0
0
16
16
8
0
16
0
17
17
0
2
16
0
8
8
8
0
0
4
4
16
16
8
0
12
12
0
0
8
8
8
1
1
0
0
8
22
22
8
16
16
0
0
0
0
0
0
0
8
16
0
31
1
32
0
4
16
8
0
0
8
0
0
8
0
0
0
0
24
24
0
8
8
8
8
8
8
0
0
8
0
0
0
0
0
0
0
16
0
0
10
10
0
0
0
0
0
0
0
4
0
0
12
12
12
0
24
0
0
0
0
0
0
0
0
8
8
16
0
0
0
0
16
1
1
1
8
0
0
0
0
0
40
40
0
0
0
0
0
0
0
0
33
16
0
16
16
0
0
32
0
0
2
0
0
0
16
16
20
0
0
0
20
20
0
0
0
8
8
0
0
5
5
0
0
0
16
16
8
16
16
0
2
2
17
17
16
8
8
8
1
0
0
0
1
1
16
0
24
24
24
0
0
0
0
0
16
16
0
9
9
0
16
0
0
0
0
0
16
1
4
4
0
8
8
0
0
8
0
0
0
0
0
8
0
16
16
0
0
8
0
8
4
14
4
1
1
1
0
0
2
0
0
32
16
16
16
8
16
0
0
16
0
0
0
0
4
0
8
0
0
16
0
8
8
8
8
4
12
8
8
8
8
9
4
2
0
16
0
0
8
0
0
4
0
0
16
0
24
24
8
8
0
0
0
0
0
0
0
0
16
16
1
1
0
8
8
8
8
8
0
0
0
0
8
2
0
8
8
4
16
0
0
0
9
9
8
8
0
52
0
40
13
8
1
0
8
1
8
16
16
0
0
8
8
8
16
0
0
0
0
32
0
3
3
3
1
0
8
8
1
16
8
16
16
16
16
16
0
0
0
8
0
0
0
0
0
0
0
8
32
32
8
4
0
0
32
32
32
32
32
32
32
8
0
0
0
0
0
0
38
4
4
0
0
0
0
4
16
16
1
16
16
16
16
17
6
8
0
8
8
0
16
8
8
16
0
8
0
0
16
16
0
56
56
8
0
8
4
1
44
44
44
44
44
16
8
16
16
0
16
8
0
8
0
0
0
0
0
0
0
16
0
0
8
8
0
0
0
0
8
0
24
0
0
0
0
8
0
0
0
0
0
8
8
56
5
16
16
0
8
0
0
0
24
32
32
32
32
32
0
0
4
0
0
0
8
8
1
1
0
8
0
1
16
0
0
0
0
0
0
0
16
16
2
16
1
4
4
8
0
0
8
16
16
16
2
4
0
0
4
4
4
0
0
8
8
8
8
8
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
16
8
16
0
0
2
2
24
0
0
0
0
16
8
8
20
0
4
4
0
1
0
0
0
12
8
8
0
4
0
8
16
0
16
0
0
0
0
0
8
1
1
1
0
0
16
16
16
8
0
16
16
16
0
0
0
4
8
8
0
0
0
8
0
0
2
8
0
16
0
0
0
8
4
4
16
0
4
0
8
0
0
0
0
9
1
1
16
16
16
16
16
16
0
0
0
8
8
0
0
25
8
16
0
18
8
0
0
8
0
2
2
0
0
0
34
34
0
0
8
0
0
24
0
2
40
40
40
0
16
16
2
8
8
8
8
8
16
0
16
1
8
8
0
0
16
0
4
2
4
0
0
0
4
2
0
0
20
0
0
0
0
2
0
24
0
0
0
16
16
16
0
16
8
1
0
0
0
0
0
0
48
0
0
0
8
16
8
8
0
8
0
8
4
16
0
0
8
8
8
8
0
4
0
0
16
16
16
0
16
2
2
8
8
0
4
4
0
0
0
0
2
0
0
10
10
12
0
28
28
28
24
1
0
40
0
0
0
0
0
0
0
0
0
2
0
0
8
8
0
0
0
0
16
8
0
0
0
0
0
16
0
0
0
0
0
8
24
0
2
0
24
20
8
0
1
1
56
0
24
8
16
16
0
1
1
1
32
11
16
16
27
16
8
8
8
16
0
5
5
1
0
0
0
1
0
0
0
0
0
0
8
8
0
9
16
16
0
1
0
0
0
0
0
16
0
0
0
0
2
2
0
0
28
0
0
1
9
9
0
0
16
0
0
11
0
60
60
4
0
0
16
16
1
1
8
16
16
16
8
0
0
0
8
16
0
8
8
8
0
16
16
8
8
16
0
0
0
8
8
0
0
0
1
0
6
6
0
2
8
0
4
0
6
8
8
8
0
16
2
0
0
0
0
0
12
8
20
0
8
2
8
0
0
16
0
4
24
24
1
1
0
8
0
16
16
24
8
8
8
8
2
2
17
32
0
0
0
24
16
8
8
0
0
0
0
0
0
0
0
16
0
0
2
4
4
0
1
1
16
1
0
0
8
8
0
16
16
0
0
2
8
8
8
16
8
8
0
0
8
8
0
0
8
8
8
0
0
0
0
5
16
0
12
0
0
0
16
0
0
16
16
0
0
0
0
8
2
0
8
8
1
0
16
8
0
0
2
1
1
0
0
0
0
16
0
16
16
0
8
18
18
0
0
0
0
0
0
0
4
16
8
8
0
0
0
1
8
0
24
8
8
6
0
0
0
8
12
12
4
8
8
2
2
16
4
4
4
0
1
1
8
8
8
8
2
2
2
2
0
16
16
0
34
0
0
1
0
0
0
0
0
16
16
16
8
8
1
1
16
16
0
16
0
8
0
0
8
0
0
0
0
8
21
0
1
24
24
16
0
16
16
0
0
0
8
16
16
16
16
0
8
8
0
0
4
8
0
0
0
0
0
0
0
0
0
0
0
0
4
8
16
16
16
16
16
0
16
16
0
4
4
0
0
0
0
24
16
0
0
60
0
0
32
8
8
8
0
16
0
0
0
8
0
25
25
20
0
0
0
0
1
1
0
4
8
4
4
4
4
1
5
8
0
16
11
8
8
0
0
8
0
1
40
16
0
8
8
0
1
1
8
8
8
40
1
1
0
0
0
0
0
0
24
4
4
18
0
0
0
0
0
0
16
2
16
16
0
0
0
0
0
0
0
8
4
4
4
16
16
16
0
16
0
2
4
0
0
16
8
0
0
8
8
0
0
0
0
0
0
4
0
0
0
1
0
0
0
0
8
0
0
0
16
16
4
0
0
0
0
0
4
8
0
8
4
0
0
0
53
53
0
9
0
8
8
8
8
2
20
8
8
0
24
24
0
8
0
0
0
8
20
0
0
8
0
0
4
1
0
0
8
0
0
16
1
16
0
0
16
16
0
1
0
0
24
10
10
8
0
1
16
0
0
0
16
8
8
4
4
16
0
5
8
0
0
0
16
16
8
48
0
6
8
4
0
0
16
0
0
16
16
0
0
0
12
0
0
0
0
8
4
0
0
0
0
16
0
0
8
0
8
16
16
0
32
32
0
16
16
4
4
4
4
8
0
16
1
1
1
1
4
4
8
0
1
0
0
1
10
10
0
0
16
1
1
0
8
8
8
0
8
8
8
0
4
2
0
0
8
16
20
0
16
0
8
24
24
0
32
1
9
9
0
0
0
0
40
0
2
0
0
0
16
16
1
1
16
33
0
16
0
0
0
4
0
4
8
8
8
16
16
16
0
4
0
12
3
3
3
0
16
16
16
8
4
2
16
0
0
0
4
4
4
0
0
0
0
0
0
0
0
0
0
16
1
1
0
0
0
8
8
8
8
8
0
0
0
2
2
2
16
8
8
8
0
8
8
2
4
1
0
2
0
1
1
1
32
8
16
16
32
0
19
0
0
0
1
1
9
0
32
18
0
0
0
0
0
6
2
0
0
0
0
18
18
2
2
8
0
8
8
0
8
0
0
0
1
1
1
16
16
8
8
2
8
8
40
16
0
57
17
0
2
8
0
24
0
0
16
0
0
8
0
0
0
0
0
0
8
32
16
0
0
0
21
0
8
0
0
0
0
0
0
0
0
16
8
16
8
1
8
8
0
0
3
16
0
8
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
5
0
8
16
3
0
16
24
16
0
1
1
0
0
1
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
16
0
0
0
16
16
0
0
0
0
0
0
16
16
16
16
16
16
16
9
58
8
1
1
1
20
24
0
0
0
0
0
0
0
4
4
0
16
16
16
16
16
0
0
0
8
8
8
0
0
0
0
0
3
3
3
8
8
8
16
24
24
0
0
0
0
16
2
2
1
16
24
16
16
16
4
0
0
2
0
0
4
26
26
0
16
16
0
0
0
8
8
32
0
0
4
8
4
16
16
0
2
0
0
54
54
54
4
4
4
0
8
4
0
0
1
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
8
4
0
0
0
8
0
8
16
16
0
0
0
0
0
0
2
2
0
0
0
0
0
8
8
8
16
16
8
1
12
16
0
4
1
1
8
8
16
0
0
0
0
22
0
0
0
4
4
0
16
33
0
0
4
4
0
0
8
8
0
0
0
16
0
0
0
16
7
16
8
0
0
0
2
0
0
8
8
32
8
8
8
8
48
0
12
0
0
1
1
8
8
8
8
16
8
0
0
0
8
0
0
0
0
8
8
16
4
4
4
8
8
12
12
25
2
48
48
8
0
16
0
0
0
0
0
0
2
0
0
8
0
50
0
0
0
0
0
0
0
0
8
8
16
16
0
0
16
32
32
0
8
8
8
0
0
1
2
2
0
0
0
0
0
60
1
0
0
0
0
16
16
0
0
16
1
1
0
0
0
8
4
4
4
4
0
0
0
0
16
16
0
2
40
40
0
0
0
0
0
0
8
8
8
8
8
8
0
0
0
0
0
8
8
8
0
0
0
0
0
8
0
0
0
0
0
16
16
0
0
0
8
16
37
0
1
8
0
17
0
1
0
0
8
8
8
24
16
16
12
0
0
0
8
8
0
0
4
0
32
32
0
8
0
0
17
0
16
9
16
8
8
8
0
0
0
3
16
0
0
0
0
0
0
0
0
0
0
0
24
24
4
16
0
0
0
8
0
32
16
16
16
0
0
0
0
16
40
8
16
16
16
16
0
0
0
2
2
0
0
0
4
0
0
8
8
8
8
8
8
8
0
0
24
8
39
4
4
4
8
8
16
0
0
0
0
1
16
0
1
1
4
0
2
2
0
8
0
0
0
0
16
8
0
9
9
0
16
4
0
16
0
0
0
8
0
0
8
0
0
0
4
4
4
16
8
0
0
32
16
4
16
19
16
2
2
5
5
5
0
8
8
8
8
0
0
0
16
16
16
16
0
0
0
32
0
0
0
8
8
0
0
0
16
16
0
8
8
0
16
0
0
0
0
16
16
16
0
1
16
16
2
0
24
0
0
0
0
16
0
0
0
0
16
1
0
0
0
0
32
0
4
0
0
0
0
8
4
0
0
0
0
8
16
16
32
16
16
8
8
0
1
0
0
8
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
8
8
8
16
16
8
0
0
0
0
0
8
8
8
0
0
16
16
0
16
0
0
0
0
0
0
0
0
0
0
0
16
0
8
8
8
4
0
0
0
12
8
0
0
0
2
0
0
4
4
0
16
0
0
0
16
16
16
0
0
0
0
20
0
0
0
0
0
0
0
16
2
2
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
2
0
8
8
8
8
8
8
1
1
1
0
0
0
16
0
0
8
2
0
8
8
0
4
4
16
8
8
16
8
0
0
0
8
8
0
4
4
16
0
4
4
16
8
0
0
16
16
16
16
44
0
0
16
16
0
0
0
0
0
4
0
8
0
0
0
4
4
4
4
1
2
2
2
2
16
16
16
1
1
0
0
8
0
0
0
0
0
0
0
0
2
2
8
0
8
8
8
16
16
16
16
8
8
8
2
0
0
9
9
8
8
0
16
0
0
0
52
0
0
0
8
2
2
2
0
8
1
16
8
4
3
0
24
1
8
0
8
8
0
8
2
2
1
1
0
0
0
0
4
4
8
8
0
8
8
0
0
4
0
16
8
0
42
16
0
0
0
16
4
16
4
4
4
4
4
24
24
19
5
0
0
8
0
0
0
12
12
12
0
8
8
16
0
0
0
0
32
16
0
0
0
0
1
0
24
16
16
16
0
8
0
4
16
16
16
16
16
0
0
0
8
0
0
12
12
4
0
0
0
2
2
1
16
16
16
16
16
16
0
0
0
0
0
0
37
8
0
0
0
0
0
0
8
8
16
0
0
8
8
8
8
8
8
0
0
1
1
16
16
16
16
16
16
16
8
8
7
7
18
18
18
24
4
0
0
8
8
0
8
8
16
16
2
4
0
0
0
8
8
8
0
16
16
8
8
0
0
0
4
0
0
0
0
0
0
8
8
32
10
0
4
4
0
8
2
0
0
0
0
10
16
2
8
0
0
0
0
32
8
8
8
0
0
8
8
0
0
0
9
0
0
1
1
16
6
16
0
0
0
0
16
0
0
0
6
0
8
8
0
24
0
0
8
8
32
0
17
0
0
0
0
0
0
0
0
0
0
16
4
0
0
0
16
16
16
16
16
16
16
16
0
8
8
0
0
8
8
8
0
8
8
0
0
0
0
0
0
0
0
0
0
0
16
0
16
8
18
2
16
2
2
8
0
0
0
0
0
0
32
32
0
8
16
16
0
8
8
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
8
16
16
16
0
0
0
12
12
8
0
0
0
16
0
8
0
0
0
16
0
0
0
0
0
0
0
1
1
1
1
8
8
0
0
0
0
32
36
24
2
8
0
32
4
4
0
0
2
8
4
0
16
0
0
0
16
0
0
0
0
0
0
16
0
0
0
8
8
1
1
0
16
0
17
0
1
1
1
24
0
0
0
0
0
0
0
0
17
9
0
8
8
8
8
4
4
4
0
16
0
0
0
0
0
0
4
16
16
16
8
0
2
16
0
0
0
0
0
8
8
16
16
8
0
0
16
12
0
16
0
0
0
0
24
0
8
8
16
16
8
0
32
32
0
0
2
8
1
1
0
0
0
2
2
0
0
0
16
8
4
1
8
4
0
0
0
8
8
8
8
8
0
34
16
16
16
0
8
0
8
16
8
16
0
4
0
0
0
0
1
1
8
0
0
0
8
4
2
8
32
4
0
8
20
8
0
0
8
16
0
0
0
8
8
8
16
0
0
0
0
16
8
0
0
0
0
16
0
8
4
4
4
8
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
8
8
8
8
0
32
0
0
0
0
0
0
0
0
4
4
4
4
16
0
0
2
8
25
25
8
8
8
16
16
8
0
0
0
0
16
24
0
4
0
24
8
16
16
16
4
1
0
16
16
0
16
0
1
16
4
24
24
24
24
17
0
4
8
0
0
0
0
0
8
16
2
8
1
2
0
0
0
0
0
16
32
8
8
0
0
0
0
0
16
8
0
4
0
8
0
0
32
0
16
0
0
0
8
0
0
0
0
0
8
8
0
0
0
0
16
16
0
0
0
2
0
16
0
0
0
0
16
16
16
16
0
0
8
0
9
9
8
16
0
0
0
16
8
0
17
8
8
0
4
4
2
2
0
30
8
0
0
0
0
0
16
32
1
8
4
8
0
32
18
2
16
13
13
0
0
8
8
8
8
8
1
0
0
16
16
16
16
2
4
0
0
0
6
6
24
24
0
0
0
0
0
1
24
24
24
24
24
16
8
0
0
0
40
4
8
8
16
8
8
8
8
0
4
16
0
0
0
0
16
16
0
4
8
0
0
0
8
0
0
0
0
33
8
4
4
16
16
0
0
0
0
0
8
8
8
8
8
0
0
0
0
0
0
8
16
16
0
0
0
0
4
0
0
0
16
16
16
8
8
2
0
8
8
16
0
0
4
8
0
0
8
8
8
0
0
0
0
0
0
16
8
0
8
0
0
0
0
24
0
4
0
2
0
0
0
0
0
16
16
16
0
0
0
0
0
0
0
0
24
0
0
0
0
14
32
0
8
4
0
0
0
8
0
8
32
0
0
0
0
0
0
0
18
8
0
0
0
0
16
0
24
0
0
0
0
0
0
0
0
0
0
0
0
0
2
16
0
0
0
0
0
16
0
0
8
0
0
0
0
8
0
0
0
1
0
0
0
0
0
4
0
0
0
0
0
4
4
16
0
0
0
8
0
0
0
0
0
1
12
0
0
0
0
0
0
0
0
0
0
24
24
24
0
0
8
0
0
0
0
0
8
8
8
0
0
0
0
4
0
0
0
8
16
0
8
8
0
0
4
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
29
29
29
29
29
29
8
0
0
16
0
0
0
0
16
0
6
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
8
0
0
0
16
0
0
0
16
8
0
24
0
0
0
0
32
36
0
0
4
0
0
0
0
0
0
0
0
4
0
1
0
0
0
4
0
0
0
1
2
8
8
0
0
0
0
0
16
0
0
0
0
0
0
0
7
0
0
0
8
0
0
0
0
0
0
0
2
4
4
0
0
0
10
0
0
16
4
0
0
0
16
1
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
8
0
61
16
16
16
4
0
0
0
0
0
0
1
0
16
16
0
8
8
8
0
0
0
0
4
4
0
8
8
0
0
0
16
16
0
0
0
0
0
0
0
0
0
26
26
8
20
16
0
0
0
4
0
8
0
0
8
0
8
0
4
4
2
32
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
1
0
0
0
16
16
0
0
0
0
0
0
0
0
8
0
8
0
0
0
32
0
0
8
0
0
0
0
0
0
0
4
4
4
0
0
0
0
0
0
0
0
0
8
16
16
32
0
0
16
16
0
0
0
0
8
0
0
16
1
0
0
0
0
0
1
0
0
16
0
0
0
0
16
0
0
0
0
0
0
0
4
17
0
0
0
0
0
0
0
0
0
1
8
0
0
2
8
8
0
16
0
0
12
8
2
4
0
0
0
0
0
2
0
16
0
8
8
24
2
0
0
0
0
0
1
0
8
42
42
0
0
0
6
32
0
0
0
0
0
0
0
0
16
0
32
32
0
12
0
0
16
16
16
16
0
0
8
0
4
0
0
0
0
33
0
32
0
24
16
0
2
0
0
0
0
0
0
0
0
0
16
0
4
0
0
0
0
0
0
8
8
0
0
0
0
0
0
16
0
21
2
8
0
0
1
0
0
0
0
0
0
0
0
16
8
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
16
0
0
0
0
8
16
6
0
0
2
16
0
24
16
0
0
0
0
0
0
0
0
0
0
17
17
17
8
8
16
0
0
0
8
8
0
16
0
0
8
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
16
0
0
0
23
8
0
0
0
2
0
0
0
0
0
0
6
0
0
4
4
4
0
0
0
0
0
0
0
0
0
0
0
16
8
8
6
0
0
0
0
0
0
0
0
0
0
0
16
2
0
0
0
16
8
2
0
0
0
1
34
0
0
8
0
0
0
0
0
0
1
0
0
0
0
0
1
1
8
0
0
0
4
0
0
0
0
0
40
0
0
0
0
8
8
8
8
0
8
0
8
0
0
0
0
0
0
0
0
0
8
0
0
4
0
0
4
12
0
0
24
24
24
0
0
0
8
0
0
0
2
8
8
8
0
0
24
0
18
18
0
0
8
8
0
0
0
0
0
0
8
8
8
0
0
0
0
0
8
0
0
0
0
2
8
8
0
0
0
0
0
0
0
0
0
0
2
0
0
8
0
0
4
4
0
0
0
0
0
8
0
0
4
0
34
34
0
0
0
0
16
16
16
16
0
8
0
0
0
0
0
0
0
0
0
0
0
9
9
0
2
0
0
8
0
4
0
0
0
0
0
0
0
0
0
6
0
0
0
0
0
0
0
0
8
8
0
0
0
0
8
0
16
0
8
0
8
0
0
0
0
19
8
0
28
0
0
0
0
0
0
0
0
0
20
0
0
0
0
0
0
0
0
0
0
1
8
0
0
0
0
0
0
13
2
2
0
0
0
0
4
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
4
0
0
0
0
0
0
12
0
4
0
1
1
0
0
0
0
0
0
0
0
8
8
0
0
0
0
20
8
0
0
0
0
0
0
0
0
0
0
0
0
4
6
0
0
0
0
0
0
16
0
0
0
0
12
4
0
0
0
0
0
0
0
8
2
18
0
0
0
0
2
0
16
16
16
16
16
16
0
0
0
16
2
0
0
0
0
0
0
0
0
0
6
0
0
16
16
16
16
16
24
0
0
0
8
8
0
0
0
33
1
1
0
0
0
0
24
24
0
4
12
12
8
8
8
0
0
24
0
0
0
0
0
0
8
0
0
0
0
0
0
0
1
1
2
0
0
0
16
0
8
8
0
17
0
0
0
0
0
0
0
0
0
0
17
17
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
17
4
8
8
8
8
0
0
0
16
16
16
16
16
16
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
4
0
0
0
0
0
0
0
0
4
8
0
16
0
0
0
0
0
4
2
0
1
32
0
8
0
17
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
8
0
16
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
16
16
16
16
16
8
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
8
0
0
8
8
0
20
0
0
8
16
0
0
0
0
0
0
0
0
0
16
0
0
32
0
4
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
8
0
8
8
0
0
0
24
0
0
32
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
8
0
0
0
0
0
9
0
0
0
0
0
0
8
8
8
8
0
12
0
0
0
0
0
0
0
0
13
8
0
0
16
8
8
4
8
0
2
0
0
8
0
0
5
0
0
0
0
0
0
0
0
0
0
0
24
0
0
0
6
0
0
0
8
0
0
16
8
0
24
8
2
1
1
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
25
0
8
0
0
0
0
0
0
4
8
8
0
0
2
0
0
0
0
0
0
0
16
0
0
0
16
8
0
0
8
0
0
0
0
0
8
0
0
0
0
0
8
8
8
0
16
0
0
0
0
0
0
0
32
0
4
8
0
8
2
8
0
0
0
0
0
8
0
0
0
16
8
16
4
4
6
0
0
0
0
0
0
0
2
2
0
0
0
0
16
0
0
4
12
24
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
8
8
0
0
8
0
0
0
0
4
0
12
12
24
24
24
24
24
0
0
0
0
0
0
0
0
0
0
8
8
8
2
8
0
2
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
10
0
0
0
0
0
0
0
0
0
0
16
0
4
0
0
0
0
16
16
16
0
0
0
0
0
0
8
0
16
16
16
0
0
16
0
0
0
0
0
0
0
8
0
0
0
0
0
16
0
0
0
4
0
16
1
1
0
0
0
8
0
16
0
0
0
0
0
0
8
0
0
16
16
4
8
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
1
32
16
16
1
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
16
16
0
0
0
0
16
0
0
0
8
0
0
0
0
36
0
0
0
0
0
0
32
25
4
1
1
0
0
0
0
0
0
16
8
0
0
0
0
0
0
16
0
8
0
0
0
1
0
0
0
0
1
0
0
8
0
0
0
0
4
0
0
0
0
0
8
0
8
0
0
0
0
0
0
0
0
2
0
0
0
5
4
4
4
0
0
0
0
1
16
0
0
0
0
0
0
0
16
0
0
0
0
1
0
0
0
0
8
16
8
2
16
0
28
28
0
13
0
0
0
16
0
24
17
17
0
0
20
0
4
0
0
16
0
0
0
0
0
0
8
0
0
0
0
0
0
0
20
0
0
0
0
0
0
0
16
0
0
0
0
16
16
16
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
24
36
0
0
2
2
2
0
0
0
0
0
0
8
9
0
0
0
0
0
0
0
8
22
0
16
0
0
0
16
4
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
10
0
0
0
2
2
0
0
0
0
0
0
0
0
0
0
0
0
8
0
8
20
20
0
0
0
0
0
0
0
0
0
8
0
0
0
1
1
0
1
8
16
0
8
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
4
4
0
0
0
0
0
0
0
0
20
33
0
0
8
4
0
0
0
0
0
0
55
55
2
8
16
0
8
0
29
0
0
0
0
0
0
0
0
0
0
0
0
0
0
25
25
0
0
0
24
0
0
0
0
0
0
4
16
16
16
0
4
0
0
0
0
0
8
0
1
1
1
1
0
0
16
0
0
0
0
0
0
0
0
2
0
0
0
0
16
0
0
0
16
0
0
8
0
0
0
8
8
8
8
0
17
4
0
0
0
8
0
0
57
0
0
0
0
0
0
0
0
0
8
0
8
0
0
0
0
0
0
16
9
0
0
16
0
0
0
0
0
0
16
16
16
0
0
0
0
0
0
48
0
0
0
0
0
0
0
4
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
8
0
0
29
0
10
0
0
0
0
22
0
0
0
0
0
0
2
0
0
0
0
8
8
0
0
0
0
0
16
0
0
0
8
32
16
0
0
0
0
0
1
0
32
32
0
12
8
0
0
9
2
42
0
0
0
0
0
0
0
0
0
0
8
4
0
0
0
0
4
8
0
0
0
0
8
0
8
8
0
16
0
24
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
16
0
4
0
0
0
0
0
25
18
0
0
0
8
0
0
0
0
0
8
8
0
0
0
5
0
0
0
22
16
0
0
0
6
24
0
0
0
17
0
0
0
0
0
32
8
0
16
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
37
16
0
1
6
0
8
0
0
2
4
4
0
0
0
8
1
1
0
8
0
0
16
0
0
0
0
0
0
24
0
0
0
0
0
0
0
16
0
0
0
24
8
0
0
0
0
0
0
0
16
0
39
0
0
8
0
0
0
0
0
0
0
4
0
0
0
0
0
0
8
0
0
8
4
0
0
0
0
0
0
9
0
8
8
8
8
0
0
0
0
0
0
0
0
0
0
16
6
0
0
8
8
0
0
0
0
0
0
0
0
0
16
16
20
0
0
16
8
8
0
16
0
0
0
0
0
0
19
0
2
2
0
0
0
0
8
8
2
16
0
0
0
0
0
0
0
0
8
0
0
0
4
40
0
8
29
0
0
0
0
0
0
0
0
0
8
4
8
8
16
0
0
0
16
0
0
0
0
2
21
0
1
1
1
1
1
1
1
0
0
0
0
0
8
0
0
0
0
0
0
0
0
24
1
0
0
0
0
16
0
0
0
0
0
0
0
16
0
0
16
0
8
8
8
0
0
0
0
8
0
0
0
0
0
0
0
8
8
0
0
8
1
0
16
0
0
8
8
0
0
8
9
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
16
16
16
10
0
16
0
1
4
0
0
0
16
8
0
4
1
0
0
0
8
0
16
0
0
0
1
2
8
0
0
0
0
2
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
19
0
0
32
32
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
24
24
4
0
0
0
0
0
0
8
0
0
0
8
0
2
2
0
0
0
4
6
0
0
0
0
0
0
4
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
2
0
0
0
0
0
0
7
0
8
0
2
1
8
8
8
0
0
0
16
0
0
12
0
0
0
4
4
4
0
0
0
0
0
0
0
0
0
16
2
4
0
8
20
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
6
0
8
0
0
0
0
0
16
0
1
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
16
16
0
0
4
8
8
0
0
16
1
0
0
0
0
0
9
0
0
0
0
0
16
16
0
0
1
0
0
0
0
0
0
0
0
0
16
0
0
20
0
8
8
0
0
24
0
0
0
1
8
6
0
0
0
3
3
16
16
0
0
0
0
0
0
0
0
8
4
4
0
1
1
0
0
0
0
4
24
0
25
0
0
0
0
0
0
8
8
2
2
8
8
0
0
0
0
0
0
0
17
8
0
16
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
4
1
25
25
40
0
0
0
0
8
0
0
0
0
4
0
0
0
0
0
0
8
0
0
1
0
0
0
0
4
19
0
2
2
0
12
20
16
0
0
1
0
0
8
0
8
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
16
16
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
1
8
8
16
0
0
8
16
0
0
8
8
16
4
0
24
24
0
8
0
0
0
48
0
8
0
0
0
0
16
0
0
0
61
0
0
0
0
4
0
0
0
0
0
8
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
16
0
8
8
0
2
0
0
0
0
0
16
0
0
0
16
0
0
8
0
0
0
0
4
0
0
0
0
0
0
8
8
8
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
2
2
0
0
0
0
0
0
24
0
0
0
0
0
0
0
0
4
0
0
1
1
0
0
4
18
0
16
16
0
9
32
0
0
1
20
0
0
4
0
0
0
0
0
0
18
18
16
0
0
0
4
4
0
16
1
1
1
0
1
0
8
0
0
4
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
28
0
0
0
9
9
0
0
0
20
8
16
0
0
0
0
0
0
0
1
0
8
0
0
0
0
0
0
16
0
8
0
0
0
0
0
0
16
0
8
0
0
0
0
0
0
16
2
0
0
0
48
0
0
1
0
0
0
0
8
0
0
0
0
0
32
0
0
16
2
0
0
0
0
0
0
16
0
0
0
0
0
0
0
4
0
0
0
16
0
0
4
0
3
0
0
0
0
0
0
0
0
0
0
0
16
1
0
0
16
24
24
24
0
0
20
0
8
8
8
0
8
32
0
0
0
0
2
0
0
8
0
0
2
2
2
0
0
0
0
8
0
16
26
26
16
16
16
8
25
0
0
4
16
8
0
8
8
16
4
16
2
0
0
0
0
0
4
4
0
0
0
0
0
0
0
0
0
16
0
0
0
16
0
8
8
16
0
0
0
16
0
8
0
8
8
0
1
1
1
8
8
8
8
8
0
0
6
0
4
3
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
16
0
0
0
24
24
24
24
4
16
0
2
16
0
8
0
4
1
1
0
0
0
0
0
0
0
0
0
0
8
8
8
16
4
8
0
0
4
4
0
0
0
0
16
8
0
16
0
0
0
0
0
32
0
0
0
0
12
0
0
0
0
4
0
0
0
1
0
8
8
0
16
8
0
0
0
0
0
1
1
0
0
24
0
4
0
8
0
16
0
0
2
0
0
1
1
0
8
2
1
8
2
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
8
6
16
0
8
8
8
8
0
0
4
0
0
16
9
0
8
0
0
0
0
0
0
16
8
2
8
0
0
1
8
16
0
0
8
0
0
0
0
8
0
24
0
4
2
2
0
8
2
8
0
0
0
0
24
0
4
0
4
2
0
0
18
8
0
4
0
0
0
8
8
0
0
0
16
20
0
0
8
4
12
12
21
0
0
0
0
0
0
36
0
0
1
0
16
16
16
8
0
0
16
16
16
16
24
0
0
16
16
36
36
0
0
26
1
8
0
1
0
0
0
9
0
16
0
0
0
0
8
60
4
4
4
4
16
0
0
0
4
0
16
0
0
0
0
17
17
0
16
16
8
0
16
8
16
0
0
24
0
0
8
0
0
0
0
16
0
0
0
17
0
0
0
16
8
0
0
16
16
12
16
16
28
16
4
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
8
8
8
0
0
8
8
0
0
0
0
2
0
8
8
24
24
0
0
0
16
0
0
0
0
0
0
8
0
0
8
0
0
0
8
4
16
16
0
0
0
0
0
0
0
17
0
0
0
0
0
0
8
0
16
16
16
1
0
0
0
0
0
0
8
0
0
0
0
8
16
4
0
17
0
0
8
8
0
0
0
0
0
16
0
0
0
0
0
16
0
0
8
8
8
4
0
0
0
0
0
4
4
0
0
0
0
0
16
4
0
4
0
0
0
8
0
0
8
0
0
0
0
0
0
0
2
2
0
0
16
8
0
0
20
12
0
0
0
8
0
0
0
0
8
8
0
16
0
24
1
8
1
0
0
0
0
0
0
0
0
0
2
0
1
0
4
0
0
1
1
0
8
0
4
0
8
8
0
0
20
0
0
0
0
0
0
2
2
2
0
0
0
0
0
4
1
16
0
0
0
0
1
0
1
1
8
8
20
20
0
0
0
0
0
0
0
0
0
16
0
0
2
1
0
16
1
8
8
8
0
0
2
8
2
0
17
17
17
17
0
0
8
8
44
44
0
0
16
0
0
8
1
0
24
8
8
8
1
0
2
0
8
8
16
0
0
9
18
18
20
20
0
0
8
0
0
0
0
20
8
16
0
0
32
0
0
0
16
0
0
4
16
0
0
0
0
16
0
17
8
0
0
0
0
8
8
8
16
20
16
0
0
0
0
0
4
0
0
0
32
16
8
8
0
0
0
0
0
0
0
0
0
0
5
40
8
0
0
8
16
0
0
0
8
8
8
16
6
4
4
4
1
2
0
0
0
0
0
8
4
4
0
0
0
0
0
0
0
0
0
17
2
8
0
0
0
0
0
0
0
8
8
0
0
0
8
12
27
16
16
16
16
0
0
0
0
0
4
4
4
0
0
4
0
8
0
32
32
32
32
1
1
0
8
8
0
0
0
8
32
0
0
16
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
3
0
0
0
0
48
0
16
0
0
0
1
1
48
0
0
0
0
0
0
16
0
8
8
9
5
8
0
8
0
0
16
8
8
0
0
0
0
0
8
16
0
16
0
4
8
8
16
16
0
16
0
1
8
8
8
0
0
16
0
2
0
4
16
1
1
18
2
16
20
20
20
20
24
0
54
16
8
0
0
0
0
16
0
24
16
0
16
16
16
0
0
8
8
0
16
16
0
0
0
0
32
0
4
1
16
16
0
0
0
19
0
0
32
20
20
8
8
1
0
6
24
0
16
0
0
0
0
0
16
1
0
10
24
4
0
0
0
0
0
0
0
0
16
0
0
0
0
8
8
8
8
8
8
8
0
0
0
0
0
0
0
8
0
0
0
2
0
0
0
0
0
1
8
8
0
0
4
0
0
0
16
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
0
3
0
0
2
32
0
16
0
16
0
0
0
32
8
4
4
16
0
0
0
1
0
0
1
8
0
0
8
0
32
32
0
0
8
4
39
4
1
40
8
16
16
16
16
0
0
0
0
0
0
0
0
1
1
0
0
0
8
8
16
16
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
16
16
8
0
0
2
4
0
0
0
0
8
8
8
8
8
18
0
16
0
0
0
0
0
0
0
0
0
0
8
8
0
8
8
0
8
0
0
0
32
8
0
0
0
0
0
16
16
16
16
0
0
0
0
4
0
4
4
4
16
16
0
8
0
0
8
16
0
8
8
10
0
0
0
8
18
18
0
0
0
8
8
0
8
0
0
0
0
0
16
0
8
0
0
0
16
3
3
0
0
0
0
0
16
0
0
8
4
0
0
0
0
4
16
8
0
8
8
0
0
0
8
8
8
8
8
8
16
0
8
0
0
0
16
0
0
0
4
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
16
1
1
1
4
0
33
0
0
8
32
4
8
0
2
0
25
0
22
16
8
8
8
1
1
0
0
0
8
0
8
8
0
0
0
16
1
17
0
0
16
8
60
60
60
60
60
0
16
0
0
8
0
0
8
20
20
2
2
0
0
0
0
0
0
0
0
32
16
16
0
0
0
0
0
0
16
8
0
24
0
0
0
0
0
0
58
8
0
0
0
0
0
4
4
0
8
0
0
0
0
0
0
16
16
16
0
0
24
2
2
16
0
4
4
24
8
0
1
0
0
8
0
0
16
0
0
24
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
1
8
1
0
0
1
16
0
0
0
0
0
20
20
20
8
0
0
0
16
16
8
8
0
2
0
0
0
0
0
1
8
8
8
16
2
0
0
0
8
0
0
16
0
0
0
16
0
8
8
0
0
8
8
6
6
6
0
16
16
0
16
8
8
16
12
12
0
0
8
4
0
8
8
8
8
8
0
0
0
0
4
4
0
0
1
8
8
8
8
8
0
0
20
1
1
2
8
2
8
8
0
22
0
0
0
1
1
0
0
16
16
16
24
24
16
16
0
16
0
0
8
8
4
4
32
8
16
0
16
16
16
0
0
0
2
2
2
8
0
8
0
0
0
0
0
0
2
0
0
16
16
16
8
1
8
0
0
0
8
0
0
0
56
0
0
0
2
2
16
16
4
0
32
0
16
8
0
16
1
8
24
0
0
2
0
4
0
8
0
8
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
4
0
0
8
0
0
0
0
0
0
0
0
0
4
14
2
0
0
4
1
0
0
0
0
0
0
0
0
8
0
24
8
0
0
2
8
4
10
24
16
0
0
0
0
0
0
0
0
0
0
0
5
5
5
0
0
16
0
0
0
0
0
8
8
0
0
0
0
0
0
26
0
0
16
16
0
0
0
0
8
0
0
0
0
0
0
0
40
40
8
0
0
0
16
4
32
0
8
8
0
0
8
0
0
0
0
32
5
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
1
0
32
0
0
0
8
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
4
4
1
8
0
0
0
0
1
1
1
1
0
0
4
0
0
0
8
0
24
0
0
16
0
24
8
0
0
0
0
0
0
0
0
2
0
0
8
8
14
4
0
0
32
0
4
4
16
30
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
2
0
0
4
4
0
0
0
16
0
0
0
0
8
8
16
1
0
0
0
0
0
0
1
2
0
8
8
8
0
0
0
0
0
6
0
0
0
8
8
24
24
0
0
0
0
8
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
2
0
0
0
1
0
0
0
0
2
0
0
0
8
0
0
0
8
0
0
12
0
0
0
0
0
0
0
16
0
0
0
4
8
0
20
0
4
8
8
0
0
1
4
8
0
0
0
16
0
0
0
0
0
0
0
1
0
8
8
0
0
0
0
0
0
0
8
0
24
0
0
0
0
8
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
4
4
2
0
16
0
0
2
8
8
0
0
0
16
8
16
20
0
0
0
0
0
0
0
0
0
0
4
8
8
4
4
4
16
0
0
0
0
0
2
2
16
0
0
0
0
8
0
16
16
0
0
4
0
0
0
0
16
0
16
16
0
0
8
2
2
16
4
8
8
2
8
0
0
0
49
0
0
0
0
0
0
0
32
0
0
0
8
0
0
0
29
32
32
32
0
16
0
0
1
0
0
0
0
0
0
8
8
8
8
8
8
8
0
8
0
4
8
0
0
0
8
0
8
0
0
0
0
0
0
0
2
0
0
2
0
0
0
0
0
0
0
0
0
0
0
25
1
32
1
0
0
0
0
0
16
16
16
16
17
0
0
0
0
12
0
0
0
0
1
16
16
16
16
16
16
16
16
16
8
0
0
0
0
0
0
16
16
16
0
0
0
0
0
0
0
16
0
0
0
0
0
8
8
8
0
0
0
0
2
0
0
0
0
0
0
17
0
13
13
0
0
0
0
8
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
8
8
8
28
0
0
8
0
0
0
0
4
0
0
2
0
0
0
0
0
4
0
0
2
2
0
0
0
58
16
0
0
0
0
32
0
0
0
0
0
0
0
0
2
0
4
0
0
0
0
0
16
16
8
0
0
0
0
0
0
0
0
0
0
0
17
22
0
0
8
0
0
8
0
1
0
8
0
16
0
16
0
8
0
0
8
2
0
0
4
4
0
4
0
0
0
0
0
0
0
0
0
8
8
0
16
16
0
8
8
0
0
0
32
0
0
8
0
0
0
0
0
0
0
0
0
0
16
0
0
0
16
16
0
1
4
0
0
8
8
0
0
0
18
0
0
1
0
16
0
16
0
0
0
0
0
0
0
0
0
0
0
8
0
0
8
8
0
0
0
0
0
0
0
0
0
0
8
0
0
8
2
0
4
0
0
0
0
0
0
8
9
9
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
4
4
4
0
0
0
0
0
24
0
0
0
0
8
0
0
25
0
0
8
0
0
0
0
0
0
1
0
8
8
0
0
0
0
0
0
0
8
0
0
0
0
0
0
4
2
0
0
0
8
9
9
0
0
0
0
10
10
0
0
16
0
0
6
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
16
16
0
0
16
0
0
0
16
0
28
0
1
0
0
0
0
0
0
8
0
0
0
0
28
16
0
16
0
1
4
0
8
48
48
0
16
4
0
0
0
0
8
16
16
16
0
0
0
0
0
9
17
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
8
0
0
0
0
0
0
0
8
0
0
8
0
0
0
0
8
0
0
0
0
0
8
8
34
16
0
0
0
0
13
2
0
24
24
0
0
32
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
3
0
0
34
34
34
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
8
8
8
8
8
0
0
0
24
0
0
0
0
0
0
4
17
0
0
0
24
24
24
24
0
0
0
0
0
9
9
0
0
0
0
32
8
8
0
20
20
20
20
0
0
0
8
8
0
8
16
0
0
0
0
8
0
0
0
0
0
0
0
0
0
26
0
0
0
0
4
4
4
0
0
0
1
16
0
0
0
0
0
0
0
8
0
8
0
8
0
0
24
24
0
57
0
0
0
24
0
0
0
0
4
4
4
4
0
0
0
0
2
0
20
4
0
0
0
0
0
0
0
0
0
0
2
16
16
0
2
2
16
8
0
8
0
0
0
8
8
8
4
4
0
0
0
0
0
8
8
0
0
0
0
0
24
8
33
0
0
0
4
8
1
2
0
0
0
16
16
40
0
0
0
0
0
0
5
0
16
0
8
0
0
16
0
0
0
0
8
8
0
0
0
0
0
8
0
4
0
0
0
0
0
0
0
0
0
0
0
12
16
0
0
0
8
0
16
16
24
0
0
0
8
34
16
0
0
16
16
16
16
16
16
0
0
0
0
2
8
0
0
0
0
0
0
8
16
0
8
0
16
0
0
0
0
0
0
0
0
0
0
0
16
8
0
0
0
0
0
0
0
0
16
0
0
0
0
8
8
0
16
32
0
0
0
24
0
4
0
0
4
4
0
0
0
0
8
8
0
1
0
16
0
1
16
0
0
16
16
9
32
16
0
0
0
0
0
16
0
0
0
0
0
0
21
0
0
0
0
0
0
16
0
16
4
0
16
16
0
0
8
8
0
0
4
0
8
8
8
0
0
0
0
0
0
0
0
8
8
8
8
0
8
8
8
0
0
0
0
0
0
0
0
32
0
9
0
0
0
0
0
17
8
0
0
0
24
0
16
28
8
0
0
4
4
1
0
1
4
0
5
5
0
0
2
16
8
0
0
8
4
0
0
1
8
8
0
0
0
4
0
0
0
0
0
0
8
8
8
1
1
8
0
0
0
0
1
0
16
0
0
8
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
4
0
8
8
8
8
8
8
0
16
0
0
0
0
8
0
0
2
0
4
4
0
16
0
0
0
0
0
0
16
0
0
0
0
0
0
8
8
24
0
2
2
16
0
0
16
0
0
16
16
0
0
0
0
0
2
0
0
16
0
0
0
0
0
0
0
0
0
16
0
0
0
0
16
8
0
0
0
0
0
16
16
16
0
0
0
2
0
3
8
0
16
0
0
2
0
0
0
0
1
0
0
14
0
0
0
0
0
0
0
0
0
0
2
33
0
0
0
0
0
0
0
0
8
0
57
0
0
0
8
0
1
8
0
0
0
0
0
10
0
16
16
4
4
4
0
8
8
8
0
0
0
0
0
0
8
18
0
16
8
8
8
8
0
8
0
1
0
0
0
5
25
0
8
8
8
0
0
0
0
16
0
0
0
16
8
0
0
0
8
0
0
0
0
2
0
18
8
2
0
0
0
16
4
0
16
16
0
0
16
1
1
0
8
16
16
0
0
0
0
16
16
1
1
1
0
1
1
0
0
0
8
0
0
0
0
0
16
8
0
0
0
16
0
0
8
0
8
1
1
0
0
8
8
0
16
5
0
0
0
60
60
0
0
0
0
16
0
0
0
0
4
8
0
8
0
0
0
0
0
8
16
8
1
0
0
0
8
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
32
32
0
16
0
0
0
0
16
0
0
0
0
0
0
16
16
16
16
0
8
40
6
0
0
0
0
0
20
0
0
0
0
0
4
2
0
0
16
0
0
0
3
3
0
0
8
24
0
0
8
0
10
0
0
0
0
0
0
16
0
3
0
0
0
0
5
0
16
16
16
16
0
0
22
30
0
0
0
0
0
16
0
0
0
0
1
1
0
0
0
0
0
0
16
16
8
0
0
8
8
0
0
0
2
4
16
16
0
0
0
0
0
8
8
8
8
0
0
0
8
0
16
0
0
0
0
8
0
0
0
0
0
0
0
0
0
2
0
0
0
0
16
16
0
0
0
0
0
1
0
0
0
0
0
16
0
0
1
1
0
16
0
0
0
0
0
0
0
0
0
0
8
0
16
0
0
8
0
0
20
2
2
2
2
4
0
8
0
0
8
0
0
0
4
4
24
4
0
0
2
2
0
0
23
24
60
16
8
8
0
0
0
0
0
8
0
16
12
0
0
0
0
0
0
0
16
1
1
1
1
1
0
0
0
24
8
0
0
0
8
0
20
20
0
8
0
0
8
0
0
0
4
0
0
8
0
4
4
4
1
8
0
0
0
1
0
0
8
8
16
16
8
8
8
0
4
4
1
16
0
16
16
0
5
5
5
8
0
16
1
0
8
2
48
0
4
0
0
40
40
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
8
0
12
0
0
0
16
0
8
0
16
0
0
0
0
0
8
8
8
0
4
0
0
8
0
20
0
8
8
4
0
0
0
0
0
4
4
0
0
8
0
0
12
4
16
0
16
0
0
0
8
0
8
0
0
0
0
16
0
17
8
4
0
16
16
16
0
0
8
8
0
16
0
0
0
8
0
0
0
16
0
0
0
1
24
10
1
8
8
0
8
0
0
16
8
0
20
8
0
16
0
0
16
16
0
0
1
0
0
6
6
0
0
0
0
0
0
0
0
0
0
16
16
20
16
16
0
8
0
0
0
0
4
0
0
0
0
0
0
2
2
0
0
24
2
2
8
0
0
0
0
24
0
0
0
0
0
8
16
0
0
0
0
1
4
0
0
0
0
0
0
16
0
0
0
0
0
0
0
16
0
0
16
16
16
0
0
8
0
8
49
0
0
0
28
8
0
0
0
0
0
8
0
0
0
0
16
0
0
0
0
0
0
8
8
0
0
0
0
0
8
8
8
8
8
8
0
0
0
12
1
0
8
8
0
0
24
4
8
0
0
0
8
8
8
8
8
0
0
0
0
0
9
8
8
20
20
24
24
0
0
0
4
0
2
0
0
0
0
0
0
0
8
0
0
0
4
0
0
8
2
2
8
0
8
0
0
0
0
0
16
16
24
0
0
0
0
4
0
8
8
16
0
0
18
4
0
0
0
0
0
2
2
2
2
0
0
0
0
0
0
1
0
0
0
0
0
0
0
16
16
0
0
4
0
0
0
2
0
16
0
0
0
16
24
16
16
8
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
40
0
16
16
1
0
1
2
0
0
0
0
8
0
0
0
1
0
0
32
0
2
2
8
0
0
16
0
0
0
4
4
8
0
0
0
0
0
0
0
0
0
8
0
0
0
0
8
8
8
0
0
16
16
16
0
24
16
8
8
24
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
8
0
8
8
0
0
0
0
0
0
0
0
0
3
20
0
0
0
20
0
0
0
0
0
0
2
0
0
34
8
8
0
0
0
0
16
16
0
0
4
2
8
0
16
0
8
0
0
4
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
5
8
8
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
8
0
0
0
0
0
0
8
0
3
8
8
0
4
0
0
0
0
4
4
0
0
24
24
0
4
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
4
0
0
0
0
0
0
8
8
8
8
24
8
0
0
8
16
0
0
24
0
0
0
8
0
0
0
0
0
0
16
0
0
0
16
0
32
0
0
0
2
16
1
0
40
2
0
1
0
0
0
0
16
16
16
32
0
0
0
0
0
16
2
0
16
0
16
16
16
0
4
4
0
0
0
0
0
0
0
16
0
8
8
8
8
8
0
0
13
2
0
0
0
0
0
0
0
0
0
1
0
8
0
0
0
0
0
0
0
0
8
8
16
4
1
1
0
8
0
3
0
0
0
0
8
0
16
8
0
0
4
16
8
0
8
8
32
0
0
0
8
8
16
16
0
16
16
0
0
16
0
0
0
0
24
0
0
0
0
32
0
0
0
4
4
4
24
24
0
0
0
0
4
4
0
16
0
0
0
0
0
8
0
1
4
8
0
0
0
16
0
0
0
0
0
8
8
8
16
1
0
1
1
0
34
16
16
0
16
1
1
1
1
0
0
0
0
0
0
0
20
0
0
0
16
0
0
0
5
5
4
2
0
0
0
16
16
0
0
8
4
0
0
0
2
0
0
0
8
8
16
0
8
0
0
25
16
0
0
0
4
1
1
1
1
0
0
0
8
0
0
0
0
0
0
8
8
24
24
0
0
0
0
4
4
0
16
0
0
0
0
0
0
0
16
0
0
0
8
16
2
16
8
8
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
16
48
48
0
0
0
0
0
0
0
0
1
8
0
0
0
4
22
22
22
0
8
0
0
16
0
0
0
0
0
0
0
0
0
0
16
16
4
0
8
0
0
0
0
0
8
0
0
2
2
0
8
1
0
0
0
0
8
20
0
0
0
2
0
10
0
16
4
0
0
0
8
0
0
2
0
0
16
0
40
40
8
8
8
0
0
0
0
4
0
0
17
17
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
2
2
2
2
16
8
0
8
8
4
0
0
0
0
24
16
16
16
16
9
9
0
8
8
0
0
0
0
0
0
8
1
16
16
0
4
0
4
0
0
0
0
4
0
0
0
0
12
1
1
0
0
0
0
0
0
0
0
0
4
0
2
0
0
0
0
0
0
0
0
8
0
27
0
24
0
24
2
1
1
0
0
0
0
56
0
0
0
1
1
0
4
4
4
0
0
0
16
0
8
16
16
16
8
0
0
4
16
4
0
0
0
16
0
1
2
0
0
8
2
8
8
0
0
0
0
1
0
0
8
8
8
24
24
4
0
0
0
0
0
8
8
8
9
1
1
0
1
0
0
0
9
9
0
0
16
0
8
16
16
8
0
0
0
16
8
8
0
0
0
0
0
16
0
0
0
16
0
0
16
8
0
0
0
0
8
0
0
12
0
0
0
8
0
16
8
8
4
0
0
0
0
16
16
8
8
0
16
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
4
4
4
0
0
0
16
0
0
0
0
0
8
8
14
14
14
8
8
8
0
0
0
0
0
0
0
0
8
0
0
4
0
0
0
0
8
8
8
8
0
0
0
2
0
16
8
8
8
48
16
0
16
0
0
0
24
2
2
0
8
0
2
32
0
0
0
0
28
0
8
8
8
4
0
0
0
0
4
0
0
0
16
8
33
0
4
16
8
0
0
8
16
16
16
0
0
0
4
8
8
14
0
0
0
8
0
0
24
0
8
8
22
0
0
0
0
0
0
0
20
8
4
4
0
8
0
1
1
8
0
0
0
3
3
0
4
8
16
16
0
1
1
8
8
1
24
16
16
0
1
0
0
0
0
0
0
0
0
0
0
0
4
0
4
0
0
0
0
0
0
0
0
0
0
0
1
2
0
0
16
0
0
0
0
32
8
0
8
0
0
32
0
1
0
0
1
8
8
49
4
18
0
0
1
16
16
0
0
0
16
16
0
4
16
24
0
8
8
0
0
12
8
8
0
0
0
0
8
4
0
0
0
8
16
8
2
0
0
0
0
0
0
0
16
17
0
0
0
0
0
0
16
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
12
32
0
8
8
8
8
16
32
0
3
3
0
0
8
8
8
0
0
0
0
0
0
0
8
8
32
32
0
0
8
8
8
8
0
0
0
0
8
16
0
1
0
0
0
0
8
0
0
0
8
0
0
8
8
0
0
0
0
0
1
8
0
1
1
0
24
24
0
8
0
16
8
16
0
16
12
8
8
4
4
4
24
0
0
0
8
8
0
24
16
16
0
0
0
0
0
0
8
8
8
0
4
4
8
8
0
2
0
8
8
8
8
16
0
0
1
32
4
0
4
4
0
8
16
0
0
2
0
20
0
24
0
0
0
24
0
0
16
9
8
8
0
8
0
0
0
0
0
4
0
0
0
8
16
0
0
0
9
0
1
6
0
2
0
27
1
0
0
1
34
8
8
4
0
0
0
8
8
0
8
0
2
2
16
0
4
8
0
0
0
0
0
8
8
8
0
0
0
0
24
24
4
0
0
0
0
8
16
0
0
0
0
8
8
2
0
8
16
4
1
0
0
0
8
0
0
0
16
16
0
4
8
8
0
0
0
0
0
0
0
25
1
0
0
0
0
16
0
0
0
0
0
0
8
8
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
8
8
8
0
0
4
14
16
0
0
8
0
8
8
0
16
0
0
0
0
1
13
13
13
16
16
0
0
0
4
16
16
0
2
0
0
0
0
0
6
0
4
0
0
0
0
0
0
0
3
0
1
16
0
0
0
8
2
0
0
0
16
16
16
16
4
2
0
0
18
0
0
4
0
0
0
1
1
0
0
0
0
0
0
3
0
8
2
0
0
0
24
0
0
0
0
8
8
8
25
0
0
0
2
0
12
8
8
8
0
0
0
0
0
0
0
1
1
1
0
16
4
0
0
0
8
0
0
0
0
0
0
0
4
16
2
0
8
8
8
1
0
0
0
0
0
0
0
0
8
0
0
8
16
16
8
8
0
8
8
8
8
8
0
8
16
0
0
0
8
16
0
16
24
0
2
0
0
0
4
16
16
16
8
0
1
1
1
16
8
8
8
0
0
40
0
2
8
4
32
32
0
4
8
8
8
16
0
4
0
8
8
0
8
16
16
16
16
0
0
16
8
0
0
0
16
0
26
32
8
0
0
0
16
16
16
8
4
8
12
12
0
0
4
0
8
0
16
24
12
1
0
0
8
0
4
8
1
36
36
2
2
0
0
8
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
4
20
4
4
4
2
0
0
0
0
0
0
12
2
0
4
0
0
0
0
0
0
0
0
0
0
8
0
16
0
0
0
0
4
0
8
4
8
17
0
0
0
0
0
8
2
16
16
1
1
0
0
8
16
53
1
8
8
16
8
8
12
1
1
0
16
8
0
0
8
8
8
36
24
24
16
0
0
8
0
0
0
0
0
0
0
0
0
0
8
24
16
8
0
0
16
16
0
0
1
0
0
24
16
0
1
0
0
0
0
0
0
2
0
0
0
0
0
0
16
0
0
0
0
0
0
0
4
0
0
0
0
0
8
0
17
0
8
16
20
20
0
0
18
0
8
8
8
8
0
0
0
8
16
0
8
9
0
0
0
0
0
0
0
0
16
32
0
0
0
8
0
1
0
0
0
0
8
16
16
0
0
0
0
4
8
8
8
0
0
0
0
0
0
0
8
16
1
0
0
16
0
0
0
8
0
0
16
8
8
8
0
0
8
8
2
0
8
0
16
16
16
16
4
8
8
16
0
0
16
0
8
0
8
4
4
4
8
0
0
0
0
0
0
8
8
0
8
8
0
0
0
0
0
0
0
0
0
20
12
0
0
0
8
4
4
0
8
16
0
0
0
0
0
0
0
0
4
8
0
0
8
0
16
2
8
0
0
0
0
0
0
0
0
0
8
0
0
60
0
16
2
0
0
0
0
4
0
0
0
8
24
0
0
12
0
16
8
0
0
0
0
0
0
8
0
0
0
0
2
2
0
0
0
0
0
16
0
1
16
0
8
8
0
0
1
8
8
8
4
8
14
14
0
0
0
8
8
17
0
8
8
0
8
8
24
0
8
5
0
0
0
0
0
0
8
0
0
16
0
0
0
0
8
0
0
24
0
32
0
1
1
8
8
8
8
8
9
9
9
0
4
32
32
32
16
0
8
0
0
0
0
16
0
0
0
0
4
0
8
0
8
8
8
0
8
0
0
0
16
16
16
16
0
0
1
1
16
16
0
8
0
0
0
8
0
33
0
24
16
16
16
0
0
1
8
8
8
8
0
16
16
8
8
8
8
0
0
0
0
0
8
8
20
20
0
4
4
0
0
0
0
0
0
0
0
0
16
9
9
0
0
0
16
0
16
20
4
4
0
0
0
0
0
0
1
2
2
2
0
0
0
0
0
17
0
0
0
8
8
0
0
16
16
16
0
4
0
0
0
0
0
0
0
0
0
8
1
24
24
24
24
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
16
0
8
0
0
19
4
0
0
0
0
4
16
4
4
0
0
0
0
0
8
0
0
0
16
16
16
0
0
0
8
8
0
0
0
0
0
0
0
40
0
0
6
6
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
2
2
0
8
0
0
0
0
0
0
0
0
4
0
0
0
0
0
16
0
0
0
0
0
0
0
1
0
0
0
0
0
16
8
8
0
0
0
0
0
8
0
33
2
0
0
16
0
0
0
0
0
0
0
0
0
0
0
4
16
8
2
0
4
0
0
0
0
0
16
0
16
16
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
8
0
8
8
16
16
0
0
0
4
0
0
0
0
8
0
0
0
0
0
0
32
0
0
0
0
0
0
0
8
0
0
0
0
0
0
24
8
0
0
0
0
0
4
0
0
16
0
24
0
0
0
0
0
16
0
16
16
1
1
0
0
17
17
0
0
0
0
0
1
1
8
8
0
0
4
8
0
0
0
0
0
28
0
0
8
8
1
2
16
0
0
8
8
8
2
0
0
0
32
0
52
0
0
0
0
0
0
0
8
0
0
0
0
0
0
8
0
0
8
0
0
0
0
0
0
0
0
0
8
0
1
1
8
18
18
0
0
0
16
0
0
8
8
0
2
1
0
28
0
16
0
0
0
0
0
0
0
0
8
8
0
3
0
0
0
24
24
0
18
0
0
0
0
16
16
8
8
8
8
0
0
0
0
0
1
8
16
0
8
0
0
8
0
3
8
8
0
0
0
0
9
18
2
0
0
0
32
0
0
8
0
0
0
0
0
0
0
0
0
0
0
1
1
0
8
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
32
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
8
0
1
8
8
0
0
0
0
0
0
0
0
0
8
32
0
8
0
0
0
36
8
8
0
8
0
0
1
16
16
0
0
0
0
0
8
8
8
8
0
16
16
16
0
3
16
16
8
8
16
0
4
4
1
8
8
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
24
0
1
0
0
0
16
0
0
0
0
12
8
10
0
0
0
16
1
0
0
0
8
32
0
0
0
0
0
0
0
0
1
0
0
2
2
0
0
23
23
0
0
0
0
0
0
0
8
8
0
0
0
0
1
0
16
0
0
0
0
0
0
4
0
0
0
0
0
1
0
0
24
3
3
3
16
8
0
36
0
0
8
0
1
0
9
9
16
16
0
1
1
16
16
1
0
0
0
16
0
4
4
8
0
0
1
0
16
0
16
0
8
8
8
8
8
0
0
4
0
0
0
0
0
0
0
8
8
16
1
0
2
58
0
0
0
0
8
8
0
0
4
0
0
0
0
2
0
8
0
0
0
0
0
0
0
0
0
16
8
16
8
0
0
0
0
2
2
0
1
0
1
0
0
0
2
8
0
0
8
1
0
0
0
0
0
0
4
0
8
0
0
16
8
0
0
0
0
0
8
12
0
0
0
4
6
0
0
0
16
26
0
0
8
0
8
16
8
2
0
0
0
4
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
0
20
16
16
0
0
0
0
0
8
25
1
16
16
0
0
8
0
0
0
24
24
0
8
4
8
0
0
4
4
0
0
8
2
0
0
0
0
8
8
0
0
0
0
4
0
0
18
18
0
0
0
16
16
8
0
0
0
0
0
0
0
0
8
2
32
0
8
0
0
0
0
8
0
0
0
0
0
0
17
0
0
0
0
24
0
8
0
0
0
24
24
16
8
0
0
0
0
0
0
4
4
0
0
8
4
0
0
2
0
0
0
0
8
8
1
0
0
0
8
0
0
0
0
8
8
8
8
8
0
0
0
4
0
0
0
0
0
8
8
0
1
0
8
4
16
0
0
16
0
8
0
0
0
0
0
0
0
0
0
0
4
0
16
16
0
0
4
0
0
16
16
0
18
0
2
1
1
0
0
8
0
0
1
0
0
16
9
0
0
0
0
24
0
1
16
18
0
0
0
0
0
0
10
16
16
16
8
16
16
0
16
4
2
8
0
7
0
0
16
2
8
0
0
0
16
0
0
0
20
0
0
4
20
6
0
0
0
16
0
0
8
0
8
8
8
0
8
16
0
0
4
0
0
8
0
0
8
0
4
12
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
24
0
8
8
0
0
0
4
4
0
0
16
0
16
16
0
0
16
0
4
4
0
0
0
22
8
0
8
8
0
0
0
0
0
40
0
0
8
8
24
0
0
0
0
0
0
0
0
0
0
1
1
0
0
18
0
1
0
0
16
0
0
0
0
0
0
8
8
8
8
1
1
0
0
0
0
0
16
16
0
1
1
0
0
8
4
2
8
8
0
2
6
6
6
0
0
16
0
0
1
0
0
9
8
0
0
0
0
8
8
0
8
0
0
0
4
0
0
4
8
0
0
0
0
0
0
0
1
0
0
0
0
0
32
4
4
5
0
0
0
0
8
8
10
0
0
0
0
0
0
8
0
0
0
8
8
8
0
0
0
0
8
0
8
0
16
0
16
12
0
1
13
8
8
0
0
0
0
8
0
0
0
0
0
16
0
0
8
0
0
0
1
0
0
18
0
0
0
0
0
8
8
8
8
12
0
20
0
0
0
4
0
0
8
0
8
0
33
0
4
0
4
0
0
0
0
2
24
0
0
16
0
0
0
0
32
8
0
0
0
0
0
16
16
16
1
0
13
0
28
0
1
1
16
0
0
0
0
16
0
8
0
0
16
0
0
0
0
0
8
0
0
0
3
16
0
0
0
0
2
2
8
0
0
0
0
0
0
0
0
0
0
0
12
0
0
0
0
0
0
0
0
1
0
0
16
16
0
3
0
8
0
0
6
0
4
25
25
2
0
0
0
0
8
0
0
0
0
8
8
0
0
8
26
0
0
0
0
0
0
0
0
8
8
0
0
4
0
18
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
9
9
0
0
4
0
0
16
0
0
0
0
0
0
0
0
0
0
0
8
16
0
2
3
16
0
2
2
0
0
0
0
0
8
8
0
0
16
16
16
8
0
16
0
0
0
8
8
0
8
2
0
0
0
0
0
0
0
0
0
0
0
24
0
0
8
8
8
8
8
8
8
0
0
0
0
0
0
0
2
0
0
0
0
12
0
1
1
1
0
16
2
2
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
16
16
16
16
0
0
1
16
0
0
8
16
0
0
0
0
0
0
16
16
16
24
6
0
0
0
0
16
16
16
0
16
16
0
1
0
16
0
16
16
16
16
0
8
20
20
0
0
0
0
0
0
0
0
8
0
0
25
0
0
0
24
0
8
0
0
0
0
0
0
8
0
62
24
24
8
0
0
4
0
16
8
0
0
0
8
0
0
0
0
8
8
3
3
8
8
16
0
0
0
0
0
0
0
0
0
20
0
0
0
16
24
4
1
0
24
0
20
0
0
0
0
2
1
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
8
8
8
12
12
0
2
2
0
16
0
0
0
16
16
2
0
0
0
0
0
0
0
8
0
8
0
8
0
0
0
0
0
20
4
0
20
0
0
16
16
1
1
1
0
0
0
0
0
0
8
0
0
0
8
0
8
0
0
0
0
10
0
0
0
0
16
0
4
4
0
0
0
0
0
8
0
8
1
16
0
0
1
0
0
0
8
0
1
1
0
2
8
8
0
0
0
16
0
0
0
16
8
8
17
8
8
8
0
0
12
0
0
0
0
0
16
4
8
8
8
8
4
0
8
0
0
8
8
8
8
0
60
16
16
16
0
0
0
0
8
0
2
0
0
2
2
16
16
16
2
0
0
0
0
8
0
0
0
24
4
0
33
33
33
8
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
0
8
33
16
16
0
0
0
0
0
0
9
0
0
0
8
0
8
2
0
0
0
0
0
24
24
0
0
8
1
0
0
16
8
8
0
0
1
1
0
0
8
0
0
19
19
19
16
1
2
2
0
0
16
20
20
0
2
6
0
0
0
0
8
2
0
0
0
0
0
0
16
0
0
1
1
2
0
16
8
0
32
0
16
16
8
38
16
0
8
24
16
16
16
16
32
32
32
16
0
0
0
0
0
0
0
0
0
0
16
0
0
0
8
0
32
32
32
32
0
0
0
0
4
4
4
8
8
16
16
16
16
2
4
0
0
1
4
8
0
0
0
0
4
0
0
0
16
8
4
4
4
4
4
4
4
0
0
1
1
0
0
1
0
0
16
0
22
0
4
4
4
0
0
16
8
8
0
0
0
0
0
0
0
0
0
0
33
0
8
0
0
0
8
0
0
0
0
2
2
0
0
0
0
0
0
8
0
2
2
0
4
0
1
0
0
0
12
0
0
8
0
0
0
0
0
57
16
0
0
1
1
8
8
8
0
0
0
40
0
0
0
0
0
8
8
0
0
0
0
1
1
8
0
0
0
0
0
8
0
16
0
36
8
8
16
8
1
8
0
0
0
0
0
3
0
1
32
32
0
0
12
0
0
16
16
0
0
0
0
0
0
0
9
1
9
8
8
0
16
0
0
0
8
8
8
0
0
0
0
10
0
0
0
0
28
28
0
0
0
0
16
16
16
9
0
4
4
4
12
0
0
0
0
32
32
0
0
0
0
4
19
19
19
19
0
15
8
16
0
0
2
2
4
2
16
0
0
0
12
0
0
0
0
0
2
0
8
0
0
0
0
0
2
0
0
0
0
8
8
12
0
0
0
8
8
8
8
4
0
0
0
0
0
0
9
8
0
0
16
0
0
0
0
4
16
17
24
4
1
0
0
0
0
0
0
0
0
9
0
0
0
0
16
16
16
16
0
0
0
12
0
0
24
24
4
0
16
16
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
8
16
16
16
16
0
8
8
0
0
0
0
8
8
0
0
0
0
0
0
0
0
2
32
32
32
0
0
8
0
0
2
4
0
0
4
0
0
0
0
32
0
0
16
0
0
0
0
4
4
8
16
0
0
1
8
8
8
8
8
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
24
0
8
8
0
0
4
4
0
0
0
8
8
0
0
48
48
0
16
16
16
16
0
0
8
8
0
0
0
0
8
4
24
8
8
8
8
0
0
0
1
2
1
0
0
8
8
8
8
4
0
0
4
32
0
0
16
16
0
16
16
16
8
8
8
8
8
8
0
8
16
0
32
32
32
2
2
0
0
10
10
5
8
2
0
0
4
40
8
8
16
0
16
16
2
20
0
0
0
24
24
24
24
8
4
48
16
8
2
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
2
0
0
16
0
0
10
16
0
8
0
8
0
4
4
0
8
0
0
0
24
24
24
24
0
2
2
1
1
1
0
0
8
0
0
0
0
0
0
4
8
0
0
0
4
0
0
0
1
0
8
16
16
16
1
0
0
0
0
0
24
24
4
4
1
20
0
0
0
0
0
0
0
16
8
0
0
0
0
0
2
0
8
0
0
0
16
16
16
16
8
0
0
8
0
0
0
8
1
16
0
24
0
0
0
0
0
32
32
32
8
0
0
0
8
16
16
16
8
0
4
8
17
0
0
0
8
8
0
0
32
8
8
0
8
8
0
0
1
8
8
8
0
0
0
0
0
0
0
16
0
8
8
0
0
0
6
6
6
6
6
4
4
4
0
0
0
8
0
8
8
8
12
12
0
0
0
0
0
0
0
0
0
16
2
4
4
4
0
1
0
0
0
8
8
8
8
16
8
8
8
8
16
0
0
0
0
0
16
0
8
8
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
16
16
16
0
0
0
11
0
16
16
16
0
0
16
0
0
0
16
16
4
12
12
12
2
20
20
2
2
0
0
0
8
0
0
8
0
0
0
0
0
8
8
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
3
0
0
8
8
8
8
8
8
8
8
0
8
8
4
0
16
0
0
16
16
16
16
16
16
16
0
24
0
8
8
4
0
0
1
16
16
10
0
0
0
0
0
0
2
2
8
8
0
0
0
0
0
0
0
0
0
0
0
0
18
0
16
16
8
5
5
5
0
8
2
8
8
8
4
16
0
0
0
0
0
0
0
0
0
0
0
2
8
8
8
8
8
8
8
8
8
2
0
0
0
0
8
8
8
8
8
32
1
0
0
0
0
4
0
0
18
18
16
0
24
4
4
8
8
8
2
0
0
0
8
16
0
8
8
8
18
0
0
12
12
0
0
0
0
0
16
0
0
0
8
16
0
0
0
0
0
0
0
4
4
4
6
0
0
0
0
0
0
0
20
0
0
4
0
8
8
0
0
0
0
8
1
4
4
4
1
16
0
8
8
0
34
0
0
0
0
0
0
0
3
3
0
20
0
20
0
0
8
0
10
8
8
0
8
8
0
6
8
32
32
32
0
0
0
0
4
8
0
0
0
0
0
16
24
24
0
0
0
0
0
0
8
0
0
0
0
20
0
0
2
4
4
0
2
4
8
0
0
0
8
0
0
0
8
8
8
0
0
8
18
0
4
4
4
4
8
0
0
8
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
24
24
0
0
0
4
0
0
0
0
4
4
4
4
0
8
0
16
0
0
0
1
4
8
8
0
20
20
8
0
0
0
0
2
2
8
0
0
8
0
0
0
0
0
24
0
0
8
0
8
24
0
24
2
0
0
0
0
0
0
0
16
16
0
0
16
1
1
1
0
4
0
0
0
8
0
16
8
8
8
0
16
16
16
16
0
0
24
24
0
0
0
0
16
16
16
0
0
0
0
0
16
16
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
4
0
8
8
16
16
16
8
16
0
0
0
8
8
8
0
16
0
32
32
56
16
0
8
8
0
40
40
40
4
4
0
0
0
0
8
0
0
4
0
1
2
4
16
8
0
0
0
0
8
0
0
24
16
1
16
8
4
0
1
0
16
0
12
12
8
0
0
0
0
0
28
16
16
16
0
0
0
0
8
8
0
4
4
0
22
22
8
8
8
4
4
8
8
8
17
17
0
1
1
1
22
22
8
8
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
8
0
0
0
0
18
18
0
0
0
0
0
0
0
0
16
16
16
16
16
0
16
1
0
0
0
0
2
2
8
8
0
0
0
0
1
8
8
0
0
0
0
0
1
24
0
1
0
9
16
0
16
0
8
25
0
0
4
0
4
0
0
26
26
26
0
0
0
8
0
0
8
8
0
0
4
0
6
6
0
0
0
32
32
16
22
22
0
0
0
16
16
2
0
0
0
0
0
0
0
16
48
8
8
16
16
16
2
0
0
0
4
4
0
8
0
16
16
16
0
0
0
8
8
16
16
0
8
8
0
16
16
8
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
8
8
8
8
0
8
16
16
37
8
0
4
8
1
0
0
0
0
0
8
8
0
0
0
0
0
0
0
48
0
8
8
0
20
4
4
4
4
0
4
0
10
0
8
0
4
0
0
0
4
8
8
8
8
8
32
32
32
1
8
16
8
8
8
8
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
8
16
4
4
0
1
1
0
0
0
16
16
16
0
16
12
12
1
8
8
8
12
0
0
0
0
0
0
0
0
16
24
24
0
0
0
0
0
4
8
0
8
8
8
8
0
0
0
16
16
16
0
0
0
8
0
0
0
24
0
0
9
16
16
18
8
8
8
0
0
1
1
1
0
0
0
0
0
0
16
16
16
32
32
32
0
0
0
0
1
8
8
8
8
8
0
8
8
8
8
8
0
16
16
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
1
0
8
8
8
8
8
0
0
0
8
0
0
0
0
0
4
0
0
0
0
0
0
1
1
0
0
0
0
0
0
1
4
0
0
0
0
16
16
0
0
0
16
32
0
1
8
0
0
0
0
8
1
0
0
0
0
0
8
8
8
8
0
24
4
0
16
0
16
0
8
0
8
4
0
8
0
8
0
0
1
0
0
0
0
0
18
18
18
18
0
0
0
8
0
32
0
0
0
8
0
0
0
0
0
8
0
2
8
8
25
8
0
0
0
0
0
0
0
0
8
0
0
0
0
20
0
0
8
0
0
0
0
0
0
0
0
0
0
8
0
0
8
0
24
0
0
0
2
0
1
1
0
0
8
8
4
32
9
0
0
16
16
0
50
16
0
0
40
0
0
0
0
0
8
0
0
0
0
0
0
0
16
0
4
0
4
0
0
0
0
26
20
25
2
0
1
1
1
1
0
0
0
16
24
32
0
0
0
0
0
0
0
0
0
0
16
16
4
4
0
0
32
1
1
1
1
16
8
8
2
0
16
16
16
0
8
0
0
0
4
0
4
8
0
1
1
1
0
1
0
0
0
16
16
0
8
8
32
0
0
16
16
16
16
16
0
0
16
16
16
16
8
8
8
0
0
0
0
16
16
16
16
16
0
0
0
33
0
0
16
16
8
0
0
0
0
0
0
0
0
2
2
4
4
0
8
8
0
0
0
0
1
4
0
0
0
16
8
0
8
26
8
0
0
34
0
0
0
24
24
24
0
16
16
8
8
4
2
0
0
0
0
8
0
0
0
8
8
8
0
8
8
8
16
8
0
8
0
16
16
0
0
8
20
20
20
20
16
16
0
0
0
0
0
0
17
0
0
0
4
8
35
8
0
8
0
0
0
0
0
0
1
8
0
0
0
0
0
0
0
0
25
1
8
8
8
0
0
0
1
1
0
8
8
1
24
0
0
0
8
0
0
48
8
20
20
16
24
24
0
0
0
8
0
0
0
0
8
8
8
16
8
8
20
0
16
32
8
8
8
8
0
0
8
0
0
0
0
0
0
0
0
0
0
17
8
16
16
16
0
0
0
0
0
0
16
16
16
2
0
9
9
9
0
0
0
24
24
24
16
0
0
8
0
8
2
0
1
0
0
0
8
8
8
4
4
4
0
1
7
8
0
8
0
8
8
17
24
0
0
2
0
8
2
16
0
0
0
2
0
0
0
8
0
0
16
0
0
0
0
0
0
0
0
8
0
1
4
1
8
0
16
0
0
16
0
0
16
25
0
4
4
4
0
0
0
0
0
0
0
0
32
2
2
18
8
0
4
0
0
0
0
16
8
32
8
8
8
0
0
16
0
41
41
8
0
0
0
0
0
4
0
0
8
8
0
8
0
16
0
0
0
0
16
16
0
8
0
16
16
2
2
2
2
0
0
0
0
8
0
0
0
0
16
0
5
0
16
0
0
0
8
16
0
0
0
0
0
0
16
0
8
24
32
0
0
0
0
0
0
8
0
16
2
8
32
32
4
0
0
0
0
0
4
4
4
4
8
0
0
0
0
0
21
0
1
4
1
0
0
9
8
0
1
4
8
8
0
8
8
8
0
0
0
0
12
16
0
0
0
10
16
8
0
0
8
1
16
4
8
8
0
0
0
0
0
0
0
8
0
0
8
8
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
2
4
4
4
0
16
0
16
16
24
8
8
8
0
0
0
0
0
0
16
0
4
0
0
20
20
0
4
0
8
0
0
0
0
16
16
16
0
8
1
0
0
8
8
0
0
0
32
32
0
0
16
16
0
4
0
0
0
0
16
8
8
8
8
12
1
1
0
0
0
0
0
0
0
0
32
16
2
8
12
0
8
8
2
0
0
0
0
0
18
18
18
0
0
0
0
8
8
0
0
0
0
0
12
0
8
0
0
4
0
0
0
0
0
0
2
8
8
32
32
0
4
4
0
8
16
8
8
8
8
8
0
8
8
16
16
1
10
0
0
19
48
48
2
16
16
16
4
0
18
0
20
8
8
4
4
0
8
16
24
4
0
0
32
0
8
0
20
20
20
2
0
24
24
0
8
4
0
4
4
4
0
16
0
2
2
0
16
16
16
16
16
16
16
16
16
16
8
0
0
0
0
0
2
0
16
0
0
0
0
4
4
4
4
0
40
40
0
0
0
20
0
0
0
16
16
16
16
16
16
16
16
1
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
8
16
0
0
0
0
0
0
0
0
16
1
1
0
0
48
0
0
8
16
16
0
0
0
0
1
0
0
8
4
0
8
0
16
16
0
16
0
0
0
0
0
0
4
0
0
16
16
16
0
0
12
0
0
16
0
0
16
0
2
2
0
0
0
0
16
4
4
0
0
0
0
0
0
0
8
0
0
0
4
4
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
2
0
0
8
0
24
4
32
1
0
16
0
0
0
0
0
0
1
16
16
16
0
8
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
9
0
0
0
1
8
0
0
0
0
8
0
0
0
1
8
8
8
16
4
32
0
16
0
0
0
18
8
10
14
0
0
16
8
0
0
0
0
8
0
0
0
16
16
16
8
4
4
8
16
16
0
8
0
0
0
0
0
0
0
0
1
4
0
8
8
0
16
0
0
0
0
0
2
0
0
1
1
1
4
0
0
8
0
0
4
0
0
0
0
0
0
0
4
8
8
4
0
0
0
0
0
0
14
0
0
0
0
0
25
0
0
8
8
0
0
0
0
0
0
24
8
4
0
0
8
8
0
2
4
8
0
0
8
0
0
0
8
0
0
8
2
2
4
4
0
0
0
32
32
0
16
0
0
0
0
0
3
16
0
0
0
4
0
0
0
4
4
0
8
0
8
4
16
0
0
0
0
32
0
0
4
16
0
8
0
8
16
8
0
32
0
0
0
0
8
37
8
8
0
16
16
16
16
28
0
8
0
0
0
0
0
0
8
16
8
8
0
0
0
0
32
32
0
0
8
16
16
0
0
0
8
1
0
0
0
0
0
24
26
4
0
0
8
8
8
8
8
8
8
0
0
0
0
0
0
0
0
0
4
8
0
8
0
0
8
8
0
0
26
0
0
0
0
0
0
0
0
0
0
0
0
8
2
0
0
0
0
0
0
0
0
0
0
0
8
0
0
24
0
0
0
16
0
16
16
0
16
1
2
2
2
20
0
2
0
4
0
0
0
0
0
0
8
8
8
16
16
2
16
0
0
0
0
0
0
33
8
0
0
8
0
0
8
24
8
9
9
0
0
8
0
10
0
0
0
0
8
1
14
8
32
4
4
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
1
0
0
8
0
0
0
0
0
0
0
0
0
0
8
0
16
0
0
2
0
0
2
2
2
1
1
1
0
16
16
0
0
8
8
16
16
16
8
8
0
0
0
0
0
8
8
32
8
0
0
0
8
0
0
0
4
4
0
0
0
0
0
0
0
12
0
38
38
16
32
0
0
0
1
0
4
0
0
24
0
0
0
0
4
0
16
16
8
0
2
24
0
0
16
16
8
12
12
0
0
0
16
16
0
4
0
16
16
2
2
2
0
0
0
0
0
0
0
0
0
0
4
4
8
0
8
8
8
0
0
16
16
0
24
16
0
8
0
2
0
0
0
4
0
19
0
0
8
0
4
5
16
9
0
1
0
4
4
4
8
1
0
0
16
16
0
0
0
0
0
0
0
0
0
16
0
0
0
8
0
0
0
0
0
0
8
8
8
2
16
16
34
0
0
0
24
0
4
16
16
16
0
0
0
0
0
0
0
16
0
0
0
0
16
16
16
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
1
0
0
1
24
8
16
16
0
0
2
8
8
1
1
0
0
0
0
0
8
4
0
18
8
8
0
0
8
37
0
0
0
0
8
8
0
8
0
0
0
34
2
1
4
0
0
0
0
0
0
0
0
0
0
16
1
1
8
8
8
8
8
1
16
0
1
0
0
0
1
8
8
8
0
0
16
16
0
8
8
0
0
21
0
16
0
0
0
0
0
16
8
1
1
4
8
0
0
0
16
16
8
0
0
0
0
0
8
16
0
8
0
0
0
40
40
0
4
0
8
16
16
16
16
8
8
0
0
0
0
2
24
8
0
0
0
0
0
0
8
8
8
8
8
8
8
8
0
24
8
16
0
1
0
0
24
4
0
0
9
0
0
0
0
0
0
16
16
8
3
0
24
24
24
24
0
4
1
0
16
24
24
24
24
4
0
0
0
0
24
24
8
4
0
24
24
24
8
8
4
4
1
16
16
16
0
8
32
0
0
8
8
16
0
0
8
0
2
2
0
16
16
0
16
0
0
16
16
17
1
8
0
0
0
32
16
8
0
0
1
0
0
0
0
0
0
16
8
1
1
1
0
0
0
16
1
1
0
0
16
8
0
1
32
0
0
8
8
2
8
8
0
0
0
0
0
0
4
16
0
8
8
0
0
16
8
0
0
8
8
16
16
0
0
2
16
16
2
2
2
2
0
8
0
8
32
8
4
4
48
0
0
0
0
8
8
8
20
20
8
2
2
8
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
8
4
2
0
0
1
0
16
0
0
0
0
0
2
0
0
8
8
0
0
57
57
57
16
0
0
0
18
0
0
32
8
8
8
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
4
16
0
16
0
4
1
0
17
16
0
0
0
0
0
0
4
0
0
0
0
0
8
8
16
0
0
0
0
0
0
0
16
0
0
0
1
0
8
0
0
0
0
0
0
0
0
0
48
48
48
33
33
9
0
0
1
0
0
2
0
8
0
1
8
0
8
0
8
0
1
0
0
0
0
0
0
0
0
13
0
0
0
0
2
0
0
2
2
2
0
8
0
0
8
0
9
0
8
16
0
0
0
0
0
0
16
16
0
0
0
8
16
4
0
8
8
0
16
0
0
0
0
0
0
0
16
8
0
16
16
0
8
8
0
0
0
0
8
4
0
0
33
33
33
16
0
12
4
0
1
0
12
1
0
1
1
0
0
0
0
2
2
16
4
4
0
2
8
16
8
9
9
9
8
0
0
8
8
0
8
0
0
0
0
0
0
0
0
0
16
8
8
0
0
0
40
40
8
1
6
0
8
8
4
0
0
16
8
8
0
8
8
0
0
0
0
8
0
16
0
0
4
4
0
14
0
4
0
0
16
12
0
0
0
8
0
2
0
8
4
0
0
0
0
0
0
0
4
0
5
0
0
0
0
0
4
0
0
0
8
18
0
0
1
0
0
8
0
0
0
8
1
0
0
0
4
0
0
0
0
0
0
0
0
16
8
8
4
4
0
0
16
0
2
0
0
0
8
0
32
16
39
0
0
0
16
16
2
2
2
4
4
0
0
8
8
8
8
16
0
0
0
0
16
0
8
1
1
16
1
16
8
8
0
16
16
16
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
8
0
0
1
1
0
16
4
0
0
0
0
0
0
0
0
0
8
0
8
16
16
16
0
0
8
8
0
0
0
8
32
0
0
0
32
8
16
8
8
16
25
20
0
0
16
16
0
0
0
59
59
59
16
0
0
0
8
8
16
1
0
0
0
4
0
0
1
8
8
8
0
0
0
0
0
0
8
8
8
16
16
16
16
0
0
0
0
16
0
0
0
0
0
0
16
0
0
0
0
1
1
1
1
8
0
0
0
16
2
8
16
8
8
8
0
8
0
14
8
8
24
0
0
0
0
0
10
10
8
8
32
16
16
16
16
0
16
16
0
16
16
0
0
16
0
0
0
8
16
16
8
8
8
0
2
8
0
0
0
3
2
2
2
8
16
16
16
1
0
0
0
4
0
0
0
0
0
0
0
0
0
8
8
8
8
0
0
8
0
0
0
1
0
0
0
0
1
16
16
16
0
1
1
16
0
0
1
0
16
0
0
0
0
0
0
0
0
0
32
32
4
8
0
0
0
8
8
8
16
4
0
0
0
0
8
8
8
0
8
0
0
24
0
0
0
2
8
8
8
8
8
8
8
8
0
0
0
4
0
0
0
24
0
0
0
4
4
0
0
0
0
0
0
0
8
0
0
0
0
0
0
32
2
8
8
8
0
0
1
1
0
4
0
0
17
0
0
0
0
8
0
16
32
32
20
0
27
0
0
0
0
0
0
32
0
1
1
0
16
16
8
4
4
4
1
0
8
8
2
0
0
17
17
17
16
0
0
0
8
0
0
0
0
0
0
8
0
0
0
0
0
0
0
32
32
8
8
8
8
0
1
1
0
6
8
8
8
8
0
8
8
0
8
0
8
8
0
0
0
8
16
16
16
0
16
0
0
0
0
2
0
0
0
0
0
0
0
16
16
0
16
16
0
0
8
8
8
2
2
0
0
4
20
0
0
0
0
16
0
0
0
0
8
8
0
0
16
16
8
8
0
0
0
8
1
8
0
16
10
10
0
0
0
0
0
0
0
16
16
0
8
0
9
9
9
0
0
0
0
0
0
0
8
8
0
0
2
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
24
24
16
0
0
0
8
8
8
8
16
8
3
3
3
16
0
0
0
16
0
0
0
0
8
8
9
9
9
0
0
4
4
1
1
1
1
1
1
1
0
0
0
16
9
9
9
16
0
0
0
8
0
0
0
0
4
4
8
8
0
44
32
0
16
16
16
16
0
8
0
17
17
0
4
8
8
8
8
16
20
0
0
0
0
17
0
48
0
28
0
8
0
16
12
0
0
26
26
4
4
32
0
1
1
0
0
18
8
36
36
16
0
0
8
8
16
0
8
8
0
2
2
1
27
27
4
0
0
0
0
0
0
8
8
8
0
1
2
0
0
0
0
0
0
14
0
2
24
0
8
0
0
0
0
8
0
8
1
1
1
1
1
8
4
0
0
16
0
24
24
24
0
0
0
0
0
8
8
8
0
8
16
8
8
8
0
0
0
0
35
8
0
4
16
0
0
0
26
0
0
0
0
16
0
8
0
4
0
0
1
8
8
0
8
9
0
0
0
0
8
0
2
2
0
1
0
4
4
20
2
0
0
2
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
20
20
0
4
4
33
4
24
0
0
0
0
16
0
0
0
8
0
8
8
8
0
0
0
0
0
8
16
16
0
0
0
0
0
0
0
16
8
0
0
0
8
0
8
0
16
0
0
8
0
4
16
16
16
0
0
8
8
8
0
0
18
8
8
12
12
12
8
0
0
0
0
0
0
4
8
8
8
8
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
28
5
5
5
16
16
0
8
16
16
16
16
2
0
16
0
8
8
0
0
0
0
0
16
0
0
0
0
0
0
0
8
0
8
0
0
0
0
0
32
2
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
16
8
2
0
0
16
16
0
0
8
0
0
8
16
16
16
16
0
8
0
0
0
5
0
4
4
4
8
0
0
2
0
0
22
0
0
0
4
4
2
0
0
0
0
0
0
16
0
8
8
4
0
2
0
0
8
4
0
0
0
0
1
1
2
2
0
0
0
0
0
8
0
2
8
0
0
0
3
0
16
16
16
0
0
0
0
0
16
4
0
0
0
0
0
0
0
1
1
8
8
0
0
0
4
0
8
0
0
9
8
1
0
0
2
8
24
24
32
0
0
0
0
16
4
4
4
0
2
0
16
16
16
0
0
1
8
0
16
16
0
0
0
0
0
0
0
0
0
16
0
0
8
24
16
0
16
0
0
0
1
1
0
16
0
1
0
0
0
0
0
8
8
0
0
0
0
8
16
0
8
0
4
4
0
0
0
8
8
0
0
16
16
0
1
8
1
0
2
4
0
0
0
1
16
0
16
16
0
0
0
0
0
0
1
0
8
0
0
4
16
0
16
8
0
0
16
0
16
0
24
0
9
2
0
0
0
0
0
0
24
0
8
23
0
0
0
2
2
0
4
0
0
0
48
0
0
0
0
16
2
0
0
4
0
16
16
0
2
2
0
8
8
8
8
8
8
0
1
1
1
1
1
1
0
0
0
4
0
4
0
0
0
8
2
2
4
8
0
0
0
4
4
0
0
16
16
16
2
2
40
40
0
27
9
0
0
0
0
0
8
0
16
28
0
1
0
16
0
0
8
0
0
0
0
16
0
0
0
0
8
24
2
8
0
0
0
0
0
4
0
0
24
0
0
0
61
0
4
4
4
0
0
0
16
0
0
0
0
6
6
6
6
0
16
2
8
0
9
1
8
0
16
0
16
0
1
1
4
32
4
0
0
8
16
16
8
0
2
0
4
0
1
0
0
0
17
16
0
0
0
8
16
0
0
0
0
0
0
0
0
4
8
0
0
0
0
0
0
8
8
0
0
0
0
8
8
18
0
8
1
1
1
1
0
16
8
1
8
20
0
0
4
0
0
0
8
0
0
0
0
24
0
0
0
0
24
0
0
0
0
0
0
0
9
9
0
16
0
8
0
0
16
26
2
0
0
0
0
0
0
16
2
2
2
8
8
0
0
18
37
37
8
8
8
0
0
4
4
16
0
0
0
0
0
0
0
8
0
0
0
16
0
24
24
0
0
0
0
1
0
0
0
0
2
0
0
16
16
0
1
1
8
0
0
0
16
16
16
20
8
0
4
8
0
0
0
0
26
4
4
4
4
4
4
4
16
0
0
16
2
0
16
8
20
0
0
0
0
0
0
0
4
0
0
0
0
8
0
0
0
16
16
8
0
0
0
8
8
16
0
16
0
0
0
0
4
0
0
0
8
8
8
4
0
0
0
0
0
8
30
30
30
8
0
0
48
0
0
0
0
16
0
16
16
17
16
16
0
0
0
16
16
8
0
16
0
0
8
0
8
0
0
0
16
8
1
1
0
2
8
0
20
16
0
0
28
28
1
1
0
16
8
0
8
8
1
0
16
16
0
0
0
0
1
1
8
0
0
0
0
0
8
9
0
0
0
0
8
0
16
0
8
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
8
0
0
8
16
0
0
1
8
8
8
8
8
0
0
8
16
16
0
0
0
4
0
2
2
2
2
2
0
2
4
1
16
0
0
0
0
0
8
8
0
0
0
0
0
8
8
4
0
16
16
16
16
0
16
16
16
0
0
8
8
8
0
0
8
0
0
0
0
0
0
0
0
30
30
32
32
0
0
8
8
0
0
25
0
0
0
0
8
0
0
0
16
0
0
0
16
0
0
0
8
32
32
0
8
8
8
0
0
0
0
16
0
0
12
0
2
2
0
0
0
0
16
0
0
0
0
0
0
0
8
0
0
16
16
4
16
0
0
16
16
0
8
0
0
0
1
0
0
0
0
0
16
16
16
0
0
0
16
1
1
1
8
0
0
0
0
0
0
0
0
8
0
1
1
0
0
0
2
0
8
8
8
0
0
0
0
0
12
8
8
8
8
4
33
0
0
0
0
0
16
16
16
16
16
0
2
8
0
16
16
0
0
0
0
0
0
0
0
8
8
0
0
8
0
8
0
16
0
0
0
0
0
0
8
8
8
0
16
1
0
8
4
24
0
0
0
16
1
0
16
16
16
0
0
0
0
0
10
0
0
0
16
16
8
0
2
8
0
16
0
16
16
0
0
16
0
0
0
0
2
2
0
16
0
0
16
16
0
0
16
0
0
4
0
0
8
24
16
8
0
0
8
0
0
0
0
0
0
0
0
4
4
4
10
0
0
4
4
0
0
24
0
16
0
2
0
0
16
16
16
0
0
16
16
16
16
16
0
16
0
0
0
8
8
8
8
8
40
24
16
32
16
0
0
8
0
0
0
0
8
0
16
0
16
2
3
3
1
0
4
4
4
0
0
0
0
8
0
32
32
32
0
9
9
4
4
0
8
44
0
24
0
0
3
3
0
4
8
0
3
16
2
0
0
0
0
0
0
4
4
0
0
0
0
16
16
2
0
0
16
8
0
2
16
8
8
12
12
1
0
0
0
0
0
8
8
14
0
0
0
0
0
0
0
12
6
0
0
0
0
0
0
8
0
0
0
0
16
16
0
0
0
0
0
8
0
0
0
0
0
0
0
8
8
8
16
16
16
0
0
11
8
8
18
18
2
2
2
16
16
16
16
16
0
24
0
20
16
8
8
0
0
8
0
0
0
8
16
8
8
0
0
0
0
24
0
0
1
1
1
16
0
0
4
0
8
8
0
0
16
0
0
0
0
0
4
0
0
0
16
4
8
16
16
0
0
2
24
0
0
8
32
32
0
0
6
0
0
0
0
0
0
0
8
17
17
24
24
0
0
8
0
0
4
4
4
4
4
0
0
8
8
17
4
8
0
0
16
0
12
0
0
0
0
0
8
2
2
0
0
0
4
0
40
40
0
0
16
32
0
0
0
0
0
0
0
0
0
0
0
0
0
17
0
24
8
8
8
1
0
0
0
0
0
8
0
0
0
0
0
0
4
4
8
16
18
0
0
8
0
16
2
2
16
0
8
8
8
8
0
0
0
0
0
0
8
0
0
0
0
0
32
0
0
0
0
0
0
0
16
0
0
6
6
6
8
8
0
0
0
0
16
1
0
0
0
32
0
8
8
0
0
0
0
0
0
0
4
4
17
17
9
0
8
0
1
0
0
0
0
0
0
0
0
0
16
9
9
9
9
4
16
0
0
16
16
4
16
0
4
16
16
16
0
0
8
8
0
0
6
0
0
16
0
0
0
0
0
0
4
0
8
0
0
0
0
0
8
16
0
0
8
0
0
8
0
0
0
8
8
16
0
2
2
0
16
16
0
8
0
0
0
0
0
4
8
8
8
0
4
0
0
0
0
0
0
8
8
1
16
0
0
0
0
0
8
8
8
0
8
16
2
8
2
0
0
1
32
16
16
2
2
16
16
0
0
0
0
16
0
0
0
0
0
0
0
0
32
32
0
0
0
0
0
0
0
0
24
8
8
24
8
8
0
20
20
16
16
16
1
2
0
0
0
0
1
16
16
0
0
0
10
10
20
16
1
8
0
0
0
0
0
0
0
0
0
8
8
8
8
8
16
0
8
0
0
0
8
1
0
0
8
0
2
2
2
8
0
0
28
0
4
4
0
8
24
24
1
1
4
25
16
16
0
9
0
8
0
8
8
16
4
0
0
0
1
0
8
4
8
0
0
8
8
0
0
8
0
2
2
8
8
18
18
0
0
8
8
0
8
0
8
0
0
0
0
16
16
16
0
0
0
0
16
16
20
20
0
0
8
4
4
0
0
0
0
0
16
0
40
0
0
8
0
0
0
0
0
0
0
8
0
1
0
1
1
1
0
0
2
0
8
17
16
0
8
8
32
16
0
0
0
16
0
8
8
8
0
0
24
0
0
8
0
0
0
0
0
0
0
8
1
2
0
8
0
8
8
0
8
0
0
16
12
0
0
0
16
16
16
16
0
0
0
0
9
9
0
17
17
8
8
2
0
0
0
0
0
0
0
40
20
16
16
0
0
0
0
16
16
0
0
0
8
0
0
0
1
1
0
0
0
6
8
9
8
2
0
20
0
0
0
0
0
8
16
16
16
16
0
2
0
0
0
0
24
8
0
0
0
0
0
22
16
8
18
18
0
0
0
0
0
0
0
8
8
8
8
8
16
8
16
16
16
0
8
4
0
1
1
0
2
0
16
0
32
2
2
2
0
8
0
1
8
0
0
8
0
0
0
17
17
24
16
16
16
16
8
2
0
0
0
24
8
8
0
0
0
0
0
0
16
16
16
16
0
0
0
0
0
0
0
1
8
16
16
0
8
8
2
2
0
8
16
16
0
0
0
0
0
0
0
4
0
0
0
29
8
24
0
0
0
0
0
16
0
0
0
0
0
20
20
0
0
16
2
2
0
8
42
0
0
0
16
16
16
0
0
0
0
40
0
0
2
0
0
16
0
0
8
8
2
0
16
16
0
0
9
9
0
0
16
16
0
0
2
2
4
8
0
0
0
0
16
8
0
0
0
0
4
0
16
0
0
16
0
0
0
0
0
0
8
0
0
0
16
0
16
16
8
0
8
8
0
2
0
0
0
0
0
0
8
8
0
4
0
0
0
0
0
0
0
32
32
1
8
0
0
0
0
8
8
8
0
16
2
8
0
16
8
8
8
8
16
16
16
0
0
0
0
16
8
8
8
16
8
1
16
4
4
4
0
0
0
0
0
17
8
0
0
16
0
8
32
32
32
32
4
0
0
8
0
0
6
32
4
0
16
24
1
1
1
0
0
0
24
24
16
16
8
0
0
24
24
0
18
18
0
0
0
0
0
0
0
16
0
8
8
16
16
16
8
16
16
0
8
8
8
0
0
0
16
16
0
16
18
18
1
0
4
16
16
0
0
8
12
0
8
0
18
18
0
0
0
24
0
0
1
0
0
0
4
18
8
0
0
0
0
0
0
4
4
4
0
8
8
0
0
1
8
0
8
0
8
8
16
8
8
1
0
0
4
8
8
37
37
4
0
0
0
0
0
0
0
1
1
8
8
0
0
0
0
8
8
0
0
0
39
39
0
8
8
4
16
16
1
0
16
0
0
0
0
16
24
16
48
48
8
8
8
0
8
0
0
2
2
0
16
4
0
8
8
24
0
0
0
0
0
0
8
0
0
16
0
0
0
0
0
0
0
17
8
0
0
1
0
0
0
0
1
0
4
4
4
8
8
8
0
0
0
0
8
8
0
0
8
8
16
0
0
0
0
0
0
0
4
4
8
4
4
4
4
4
4
8
0
16
16
0
0
0
8
8
0
1
0
0
0
0
0
2
12
0
2
0
24
24
0
0
50
8
0
0
10
0
16
16
16
0
0
0
16
16
0
0
0
16
16
0
24
0
8
8
8
0
0
0
0
4
0
8
8
8
0
0
0
4
0
0
2
0
0
0
1
1
8
8
16
16
0
0
0
0
0
0
0
0
0
0
4
8
0
0
0
0
0
0
8
8
8
8
8
8
0
0
0
0
0
0
8
8
8
16
0
1
5
0
4
16
0
8
0
0
2
0
0
0
16
16
0
0
0
0
0
0
8
0
19
8
8
20
0
0
16
16
24
8
8
24
8
8
8
2
8
0
0
0
24
0
32
3
2
0
0
0
0
8
2
2
0
18
18
18
18
20
8
0
16
16
16
0
8
8
8
0
0
0
0
16
16
4
4
2
16
16
0
0
8
0
0
16
0
8
4
0
4
8
8
0
0
0
0
0
0
0
0
0
16
0
16
0
0
8
0
8
8
2
0
8
1
1
8
8
0
0
0
0
0
1
1
0
8
0
16
16
0
0
0
8
0
0
0
36
0
16
8
0
8
8
8
0
0
0
4
0
1
0
8
8
8
16
0
4
16
8
0
0
16
0
0
17
0
0
0
0
0
0
0
4
0
0
0
0
2
0
0
4
8
8
8
4
0
0
4
4
4
32
32
32
0
2
2
0
0
0
0
0
0
16
17
17
4
16
8
0
8
8
0
0
0
0
0
0
8
16
16
0
1
0
0
0
8
8
0
0
0
8
0
9
8
0
0
8
0
0
0
0
0
0
8
24
24
24
12
0
0
2
0
8
8
8
24
0
0
0
0
8
0
0
0
0
0
0
1
0
0
0
16
8
0
8
0
8
20
0
0
16
0
0
8
0
0
0
8
0
0
0
0
0
0
16
0
0
0
0
8
0
0
0
0
4
4
0
0
0
0
0
16
0
0
2
0
0
0
0
0
0
1
1
8
8
16
16
0
0
0
0
0
4
8
16
16
16
0
0
0
0
0
0
10
0
8
0
0
12
16
16
16
16
16
1
1
1
8
17
0
0
0
4
16
16
16
0
8
16
16
16
0
0
2
0
0
0
22
16
0
0
16
16
2
0
16
16
0
0
0
8
0
16
16
16
8
4
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
8
0
2
16
16
8
0
0
32
0
0
16
0
0
0
0
0
52
8
8
8
8
8
1
1
0
0
0
0
1
1
0
4
0
16
0
0
0
0
0
2
0
0
32
32
32
32
32
32
0
0
2
2
2
2
28
0
0
0
0
0
0
8
1
0
8
0
0
0
0
16
16
16
0
0
0
0
0
0
0
2
4
16
16
16
1
0
0
0
8
8
0
0
0
0
16
2
0
0
0
0
8
16
16
16
16
0
0
4
4
1
1
1
1
1
1
1
0
0
0
8
0
0
8
16
0
8
8
8
8
0
16
16
0
8
8
4
4
0
0
0
0
0
8
0
0
0
0
0
16
0
2
12
12
12
0
0
0
0
2
8
8
4
8
8
0
0
0
0
0
0
8
0
0
8
16
16
1
1
0
0
8
16
16
16
16
40
8
8
0
0
32
32
32
0
0
40
8
8
0
0
0
0
0
0
0
8
0
36
4
4
8
0
0
0
0
0
58
4
0
0
0
8
16
16
39
39
0
0
0
0
0
0
8
8
8
8
0
8
16
2
0
0
2
0
0
0
0
16
4
0
0
0
2
0
0
0
0
0
0
16
16
16
0
0
0
0
4
4
18
2
4
0
0
0
8
0
0
0
0
0
16
0
0
14
14
8
8
0
1
1
0
0
8
0
0
12
12
0
2
2
0
0
2
1
1
0
0
0
8
8
4
0
8
0
0
0
0
0
8
0
32
0
0
0
0
0
8
16
4
1
1
1
16
16
8
17
24
0
0
0
0
0
20
20
8
0
0
0
0
0
0
0
8
8
2
12
0
2
16
16
0
8
8
1
1
1
8
0
0
1
1
16
8
0
0
0
8
8
0
0
0
4
0
8
0
16
16
0
0
8
0
0
0
0
4
8
0
0
0
9
9
0
1
0
0
10
4
0
8
10
10
10
10
0
0
0
0
8
0
0
0
0
0
0
0
8
0
0
0
0
0
1
32
32
0
0
0
0
8
8
8
0
0
4
0
0
0
0
0
0
0
12
8
0
0
8
0
1
0
8
8
0
1
33
0
8
8
0
0
0
0
0
0
16
0
0
0
0
0
8
4
4
4
4
16
16
0
0
8
8
18
18
16
0
0
4
2
0
0
0
0
0
0
0
1
8
0
0
0
0
16
2
8
0
8
2
2
0
0
0
16
16
16
16
16
16
8
8
1
0
0
0
16
0
0
8
4
18
18
4
1
56
56
56
4
0
0
0
0
0
0
8
16
0
8
0
8
24
8
8
8
8
0
0
0
4
0
0
0
0
16
0
16
16
0
0
2
2
2
0
0
0
0
0
0
16
0
0
0
0
0
0
8
18
8
0
8
8
8
0
0
0
4
4
4
0
8
8
20
0
0
5
0
0
4
0
1
0
0
8
16
0
17
8
0
16
0
0
0
0
0
0
0
32
0
0
0
0
0
8
16
0
24
0
0
0
8
56
8
0
8
8
0
0
8
0
14
0
0
16
8
8
0
8
2
2
4
0
0
1
0
1
0
0
0
0
0
16
0
0
8
0
0
0
8
8
0
8
0
16
0
2
2
0
0
0
0
0
0
8
8
0
0
0
0
24
24
0
8
0
8
8
8
0
0
14
0
0
0
0
0
0
0
0
0
0
0
0
0
17
0
8
0
0
0
0
8
8
0
0
0
0
32
16
32
8
0
0
0
0
8
0
0
0
0
16
16
1
1
1
0
4
32
0
0
32
0
0
12
12
0
0
0
0
0
0
0
16
2
0
0
0
0
8
0
0
0
0
0
4
0
0
0
0
16
16
2
16
16
8
4
1
1
0
0
0
8
0
24
4
0
0
8
0
16
8
0
0
0
0
0
0
0
0
16
8
32
0
0
0
16
32
8
8
8
8
32
6
8
8
8
2
16
0
2
0
44
0
0
0
0
4
8
0
0
4
0
0
0
16
16
16
0
1
4
0
0
0
0
0
8
1
0
0
1
1
0
4
0
8
1
1
8
8
16
8
4
22
0
0
0
0
0
24
0
16
16
16
16
16
16
0
0
0
16
16
16
3
3
0
0
1
0
17
0
0
2
0
16
16
0
0
0
8
32
32
0
19
4
0
0
0
0
0
0
0
0
0
0
0
0
4
0
1
0
0
0
0
0
24
8
0
0
0
0
16
4
8
0
0
1
0
0
8
8
0
1
1
18
18
25
0
0
0
0
0
0
16
8
8
16
16
0
8
16
16
16
16
8
8
8
32
16
0
16
16
16
8
8
0
0
16
0
0
16
0
0
0
0
16
0
0
0
9
8
0
1
1
0
2
16
16
29
16
16
16
0
0
0
0
8
0
0
0
0
0
2
0
17
17
8
8
8
0
8
8
1
0
2
0
0
0
0
16
16
16
16
16
16
0
2
12
4
16
16
16
0
0
16
16
0
0
8
0
0
12
12
0
16
0
8
0
0
8
0
16
0
0
1
16
16
16
16
16
16
16
0
0
16
0
8
0
0
0
8
2
0
0
0
4
0
0
0
4
0
16
0
0
8
8
0
0
9
16
8
24
0
16
8
2
0
0
0
8
8
0
0
0
0
0
1
0
0
16
16
4
0
0
0
8
1
1
8
4
4
0
12
8
0
16
9
9
0
0
0
0
8
8
8
8
8
8
8
0
13
13
8
0
16
0
4
4
4
4
8
8
0
0
4
4
0
8
0
16
16
0
8
0
0
0
0
8
0
0
0
0
4
4
0
0
0
24
0
0
36
0
0
8
0
0
0
0
0
0
0
8
0
0
0
0
0
1
1
16
0
0
8
8
8
8
8
8
0
8
8
8
8
0
0
0
0
8
16
0
8
16
0
0
8
24
0
0
0
16
16
0
0
16
0
0
8
2
2
16
0
0
0
1
0
0
0
0
0
1
0
0
0
0
8
8
8
16
8
8
0
0
0
8
4
16
0
0
0
0
0
16
16
0
0
0
0
8
0
0
16
0
0
0
16
0
0
16
8
8
2
2
2
16
16
0
0
0
24
0
0
0
0
0
0
16
4
0
0
8
0
0
0
16
0
0
4
16
0
0
0
0
0
0
0
0
0
0
2
0
2
9
16
0
8
0
0
17
8
8
0
0
24
0
16
8
8
8
0
0
24
0
0
0
0
0
0
4
4
8
8
8
0
0
20
20
0
0
1
0
0
0
0
0
0
8
1
0
0
8
8
0
0
8
0
0
16
0
0
0
0
2
2
0
1
16
16
3
16
16
0
4
8
0
4
3
41
28
28
0
16
8
8
16
0
8
0
4
16
0
0
0
0
4
4
4
1
16
16
0
0
16
0
0
0
0
0
2
0
0
0
0
0
1
0
0
0
16
16
0
8
8
0
4
0
1
8
0
0
0
0
0
8
0
8
0
0
0
8
8
0
1
0
8
32
0
1
8
0
8
0
0
0
1
1
0
8
3
0
0
0
0
0
16
16
8
16
16
21
0
0
0
0
0
8
0
0
8
0
0
8
0
0
0
0
0
0
16
16
0
8
8
0
0
0
8
1
0
0
0
0
0
16
16
16
16
0
0
0
0
0
8
8
4
8
0
2
2
16
0
0
4
0
16
16
0
0
0
0
0
3
24
0
16
16
16
16
16
0
0
1
16
0
16
17
0
0
4
0
0
0
0
0
0
4
8
8
0
0
8
0
16
0
0
0
8
8
16
16
16
16
34
3
0
0
4
0
0
0
0
0
26
26
16
16
0
0
0
5
5
8
16
16
16
0
0
0
0
0
0
16
16
16
0
16
16
0
8
8
8
16
8
32
8
8
38
16
8
8
8
8
0
0
0
0
0
0
17
28
8
0
0
0
0
0
0
0
0
1
4
0
1
0
16
8
0
0
21
0
8
8
0
0
22
8
28
8
0
0
0
0
0
0
0
12
12
4
16
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
4
0
8
0
0
0
0
0
0
0
1
1
33
0
0
0
16
8
8
8
0
16
0
0
0
4
0
8
16
16
8
8
2
2
2
0
0
16
1
1
0
1
0
0
1
16
16
16
16
16
14
14
8
0
48
0
0
0
0
0
0
0
0
0
0
0
0
1
1
8
0
0
0
0
0
0
0
0
0
8
16
16
0
0
8
16
16
0
0
0
2
8
0
0
0
0
4
0
25
25
8
0
2
0
0
0
0
16
16
0
16
4
0
0
0
0
0
16
4
0
0
4
0
0
0
1
0
8
8
24
12
12
0
0
16
0
3
0
0
0
0
20
0
0
9
16
16
4
4
0
8
0
24
1
1
2
0
8
2
2
9
16
0
8
8
8
8
8
0
0
8
8
8
1
0
0
0
0
0
0
0
0
8
2
2
60
0
4
0
1
0
0
0
4
0
0
0
0
0
0
16
0
8
8
16
0
0
0
0
8
8
8
8
0
16
16
16
0
8
0
0
0
0
0
1
0
0
0
0
8
16
0
8
8
20
0
0
0
0
4
0
16
16
32
32
2
2
0
0
0
8
0
0
0
0
4
8
8
16
0
24
0
0
0
0
32
0
2
0
0
0
0
0
24
16
0
24
24
16
16
0
0
0
0
0
8
16
0
0
16
16
16
8
0
16
0
16
16
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
16
16
0
0
0
4
16
16
0
0
8
16
32
0
6
8
16
32
2
0
0
8
0
0
0
10
10
16
16
4
2
2
2
2
8
8
8
8
16
2
20
9
16
8
0
0
0
19
19
32
0
0
16
16
0
0
0
0
0
0
0
8
0
0
0
0
0
32
16
16
4
4
16
9
0
0
0
0
0
26
4
4
24
8
8
0
8
16
16
0
11
8
8
0
0
16
0
10
16
0
0
0
0
0
0
0
8
8
0
0
0
4
8
1
4
4
8
0
24
24
0
0
0
0
16
16
1
16
0
0
20
4
4
8
0
0
0
24
16
8
4
0
0
0
0
8
8
8
8
0
1
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
0
0
4
8
8
0
32
0
16
16
0
0
0
0
16
0
20
32
16
0
0
0
0
0
0
0
8
8
16
16
16
1
8
8
24
16
16
32
4
0
4
24
24
24
12
12
0
0
1
0
8
8
0
0
4
4
8
4
8
8
0
0
8
8
0
0
0
0
8
8
8
0
2
0
0
0
16
0
0
8
0
0
0
16
16
8
4
4
32
0
0
8
16
0
8
8
8
0
0
0
0
24
0
8
16
16
16
0
0
0
16
0
0
0
0
0
4
0
16
0
2
2
0
8
8
4
8
8
0
8
16
0
0
0
0
0
0
0
0
0
0
10
10
10
0
0
2
1
1
10
0
8
0
0
0
0
0
16
0
8
0
0
1
0
0
0
16
16
16
16
16
16
1
0
0
0
0
0
3
0
0
0
8
9
9
0
12
24
0
32
8
8
8
8
0
0
0
0
0
0
0
0
24
4
4
4
0
3
3
3
3
0
0
1
6
6
32
2
0
0
8
0
0
0
0
0
9
25
25
0
0
0
0
0
0
0
8
0
4
4
4
4
16
0
0
0
0
0
0
0
0
24
4
4
8
8
0
0
12
8
1
1
1
0
0
8
0
0
0
0
0
0
0
4
0
0
0
0
4
28
0
0
0
0
0
0
34
0
0
0
0
8
40
8
8
0
0
8
0
8
0
0
0
0
0
0
0
17
17
2
0
0
0
0
4
16
8
8
8
8
0
0
0
0
0
0
0
0
0
0
8
0
0
0
8
0
0
0
0
0
0
0
4
24
16
16
18
18
16
12
8
8
0
4
8
8
8
8
16
8
1
16
16
16
16
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
16
0
0
16
16
0
0
0
0
17
17
0
16
0
0
0
0
8
8
0
0
16
0
0
0
0
0
1
2
8
0
4
4
16
16
16
16
0
0
6
0
4
4
5
8
0
0
8
8
8
8
8
0
0
0
0
0
0
16
16
16
0
8
18
18
18
16
16
0
0
0
8
12
0
16
0
0
0
0
0
0
0
24
0
4
4
0
1
1
1
0
0
16
4
4
0
0
4
4
8
0
0
0
17
1
16
0
16
16
16
8
0
32
16
0
0
0
0
0
0
0
0
0
0
0
16
16
16
16
16
16
0
16
9
8
0
0
0
0
0
0
0
0
0
4
0
8
0
8
26
16
0
0
0
0
0
0
0
0
0
0
4
4
4
4
0
24
24
0
0
8
8
4
48
4
8
8
0
16
16
16
40
0
40
0
0
8
8
2
2
0
0
16
16
8
16
0
16
0
0
8
0
8
0
0
0
0
8
8
2
0
8
8
16
16
16
16
16
0
5
4
21
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
16
0
1
0
16
16
16
0
0
0
4
0
0
16
16
16
32
0
0
8
16
16
16
16
8
8
24
24
8
0
0
0
0
0
0
0
0
0
0
0
0
16
0
4
1
0
8
0
0
0
4
4
9
0
8
0
0
0
0
0
0
0
0
16
4
4
4
0
0
0
0
0
8
8
8
16
0
24
8
16
1
0
0
0
0
0
25
8
1
0
0
16
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
8
16
0
16
16
0
8
2
1
0
0
8
0
16
0
0
0
16
0
0
0
4
0
0
0
0
0
8
8
1
0
16
4
8
16
24
24
2
2
2
0
0
8
8
16
16
16
8
0
0
0
0
16
0
0
0
0
0
0
1
1
8
8
8
0
0
0
0
8
4
8
8
8
0
0
0
0
24
2
0
0
0
0
0
32
8
8
11
1
1
8
0
0
0
0
0
0
16
2
8
8
8
8
8
8
0
0
4
4
32
32
0
8
16
0
0
24
8
8
8
8
0
0
0
0
0
8
8
1
1
1
16
16
16
8
8
0
0
16
16
16
16
16
16
0
0
0
0
0
16
16
0
0
4
4
0
1
24
0
0
0
0
2
2
0
0
0
0
0
1
1
16
16
0
0
0
16
0
0
32
24
24
0
1
0
4
4
0
0
0
2
2
1
16
0
4
4
0
0
1
1
1
6
0
0
8
8
0
0
0
0
0
0
2
16
8
0
8
4
16
0
0
0
8
16
16
0
0
0
0
0
0
16
0
8
1
1
1
1
4
0
0
0
8
8
8
8
8
8
0
0
0
16
16
16
16
0
0
0
2
0
0
18
18
4
0
1
1
1
1
1
1
0
0
0
0
0
0
2
2
0
0
8
0
4
0
8
0
0
24
24
0
0
0
0
24
0
0
0
0
0
8
0
0
0
16
0
16
16
0
0
8
0
8
16
4
0
0
1
0
0
0
0
0
4
4
8
16
12
16
16
16
2
0
0
16
16
2
0
0
0
0
1
0
0
0
2
0
8
0
0
16
8
0
0
0
4
4
4
17
0
0
16
16
8
24
0
9
0
0
8
8
0
16
4
0
0
0
0
1
0
0
0
0
0
0
0
4
4
4
8
8
8
0
0
0
0
1
1
1
1
0
4
0
4
8
8
0
0
8
20
20
16
16
8
0
0
0
16
16
8
0
0
32
0
0
0
0
3
3
0
8
0
0
0
8
4
24
0
0
0
0
16
0
8
0
0
0
0
0
0
8
8
8
8
10
0
32
32
0
24
8
8
0
0
32
0
8
0
0
0
0
0
0
0
0
0
8
40
0
0
27
1
8
8
0
0
4
25
16
16
0
16
0
0
0
0
0
0
0
0
8
8
1
0
8
48
0
0
1
1
0
0
8
33
33
0
0
0
2
0
8
0
0
28
24
0
0
0
20
16
0
40
40
0
8
0
0
0
0
16
8
0
8
8
8
8
7
0
1
8
16
16
0
0
0
0
0
0
0
0
16
0
0
12
4
0
8
2
0
16
16
0
0
0
0
0
4
16
8
0
0
0
0
0
8
8
0
0
16
16
17
0
0
0
0
8
0
0
8
0
0
4
0
0
0
0
8
8
16
16
16
2
8
8
18
0
0
0
0
0
0
0
0
0
0
0
8
5
5
0
0
8
1
4
4
4
24
20
0
0
0
16
16
1
1
16
8
8
0
0
0
16
0
8
4
16
1
4
8
0
12
12
0
0
0
0
0
4
8
8
0
0
24
24
24
24
24
24
24
24
8
8
0
32
0
4
8
8
16
0
0
0
32
32
32
0
3
0
0
0
16
16
0
0
4
0
0
4
0
16
0
0
0
2
0
0
0
0
8
0
8
0
17
8
16
0
0
0
0
0
0
16
0
8
16
0
0
0
4
0
0
16
9
1
8
8
29
16
16
16
16
0
0
0
0
8
8
0
0
0
16
16
0
0
0
1
0
16
0
0
0
2
2
0
16
0
2
2
8
8
0
8
8
8
47
43
43
0
45
52
52
0
8
0
0
8
0
0
2
16
0
0
0
6
6
8
8
16
8
0
0
0
0
0
0
16
16
16
16
34
1
16
48
0
0
0
0
0
8
0
16
8
41
41
0
0
8
16
16
16
16
1
26
4
8
4
4
0
0
16
0
6
16
9
0
0
12
0
0
12
8
0
16
0
0
0
32
20
24
16
16
16
0
8
0
0
0
0
0
32
0
10
10
0
0
0
0
1
8
0
8
0
0
4
0
8
16
0
0
0
8
12
1
0
0
0
0
8
8
0
8
0
1
1
0
0
0
0
0
0
0
0
8
8
8
20
0
0
2
2
0
2
2
0
0
0
0
0
4
8
0
0
32
16
16
16
0
0
16
18
4
4
10
36
12
21
0
0
0
0
0
0
16
0
0
0
8
0
0
0
8
0
0
0
0
0
0
16
0
0
0
0
0
34
34
34
0
0
0
1
0
8
0
0
0
0
0
16
16
0
16
16
16
0
0
8
0
0
0
0
0
0
0
16
0
8
0
8
0
12
0
0
24
12
12
8
8
0
0
0
0
40
0
0
1
0
0
8
8
0
8
2
8
0
16
1
16
16
0
0
0
0
0
0
16
0
4
0
0
0
0
2
1
1
1
4
0
0
0
0
0
1
0
0
0
0
2
0
0
0
0
0
24
16
16
24
24
16
12
14
8
0
8
8
0
0
0
0
12
0
0
8
4
16
16
0
16
8
0
0
0
16
0
0
20
20
4
8
8
8
8
4
4
0
0
0
0
0
0
12
12
0
0
8
8
0
0
0
0
0
3
3
0
0
0
10
8
8
0
0
0
0
0
8
8
2
2
8
0
8
0
8
8
8
0
0
16
16
0
0
8
0
4
0
0
0
16
16
0
0
0
0
0
20
20
8
0
0
2
0
8
16
8
0
0
8
8
8
16
0
0
0
0
0
0
0
0
16
16
0
8
8
8
2
2
24
24
4
0
0
8
26
0
0
0
1
2
0
0
2
8
0
24
0
8
8
1
8
0
0
0
16
0
0
0
0
0
0
2
0
0
16
16
8
8
2
0
0
0
0
8
1
1
0
1
0
16
16
16
4
8
0
0
16
16
16
0
0
0
0
16
16
1
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
1
29
2
2
0
0
0
0
2
12
26
0
0
0
8
2
0
33
33
16
0
0
0
0
8
0
0
8
0
0
0
2
0
0
0
2
0
0
0
20
0
0
0
0
8
0
24
24
0
0
0
0
24
24
0
16
16
0
0
0
0
0
0
0
0
0
0
16
0
0
0
8
0
0
0
0
0
0
0
0
1
1
0
0
0
8
0
48
48
0
0
0
0
0
0
0
16
0
8
0
8
12
12
12
0
8
8
0
0
0
0
0
1
1
1
4
4
8
8
0
0
0
0
8
0
0
0
8
8
0
0
4
17
16
6
0
0
16
2
8
8
16
0
0
0
0
0
16
0
0
8
16
0
0
0
1
1
0
8
16
0
0
0
0
17
4
0
0
40
0
4
0
0
0
0
0
0
16
0
25
0
0
0
32
32
32
16
16
8
8
0
32
0
0
0
0
0
0
0
0
16
16
16
4
56
0
0
0
0
24
0
0
8
16
8
8
8
0
0
0
0
0
0
0
16
16
16
16
24
24
0
0
0
0
0
16
12
12
4
8
8
33
0
20
24
24
0
0
0
8
8
8
8
4
4
2
0
1
0
0
0
20
20
1
0
1
4
16
0
8
8
8
0
0
0
8
0
8
9
0
0
0
0
0
4
4
0
0
8
2
4
0
4
24
16
16
16
8
8
18
0
0
0
16
32
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
16
16
8
0
0
16
16
4
0
0
0
13
16
0
0
0
0
4
8
0
0
0
0
0
0
0
10
10
0
8
0
0
0
8
0
0
0
0
26
0
4
4
0
0
0
4
4
8
0
0
16
0
1
28
0
0
8
8
0
0
32
21
0
1
1
0
8
0
0
50
50
16
0
0
8
16
0
0
0
0
0
8
0
0
0
16
4
4
1
0
24
0
0
8
8
0
8
0
8
8
0
8
8
0
0
0
0
0
0
0
8
0
16
16
32
18
0
0
0
0
0
0
0
0
0
24
32
0
0
0
0
2
0
0
8
8
16
0
4
0
0
0
8
0
16
16
16
8
24
8
16
16
16
16
4
8
8
0
2
2
0
24
0
0
0
0
1
1
0
32
16
0
0
24
24
2
0
0
0
8
16
16
16
16
0
8
8
0
16
3
16
16
16
0
0
0
0
1
0
0
0
0
0
0
0
8
0
16
16
16
8
8
8
0
0
0
0
0
0
0
16
1
1
0
0
8
8
8
24
24
24
24
24
0
0
0
16
16
32
2
0
0
0
16
16
2
6
0
0
8
0
8
8
0
0
0
0
49
0
0
0
8
4
4
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
8
8
16
0
0
8
0
0
16
16
0
8
0
8
8
8
3
3
0
0
0
0
16
0
0
0
0
0
0
4
4
0
4
4
0
0
0
8
8
4
2
8
1
1
0
0
8
8
0
8
0
2
0
0
0
16
8
8
0
0
0
0
0
0
0
4
4
2
2
8
2
2
0
8
4
16
0
0
0
0
0
0
0
18
18
18
0
0
40
8
8
8
16
0
0
0
0
1
1
0
0
16
16
0
0
0
0
2
2
2
2
2
2
16
16
0
26
26
24
0
16
0
0
0
0
0
0
1
1
5
0
0
0
4
4
4
4
4
24
4
8
0
4
0
0
24
9
0
0
16
4
4
0
8
8
1
0
56
4
0
40
0
0
24
57
57
16
0
16
16
0
5
17
0
0
32
8
0
8
6
0
0
0
8
0
0
0
0
0
0
8
0
0
16
0
0
24
16
0
0
0
0
0
0
0
0
16
0
8
8
0
36
36
0
0
8
0
0
0
24
8
0
0
0
16
0
0
0
0
0
0
0
0
0
0
16
0
0
16
21
0
0
0
8
16
16
0
0
0
0
8
8
8
8
0
8
34
24
16
0
18
8
2
16
16
0
0
0
0
0
8
0
0
0
16
16
0
0
0
0
2
2
0
8
4
4
0
0
4
8
8
0
0
0
0
16
8
6
0
6
6
6
8
1
1
0
8
4
4
0
0
0
0
0
0
0
0
0
0
0
0
4
4
0
0
16
16
0
0
0
0
8
2
8
8
4
0
0
0
12
12
0
0
0
0
10
2
2
0
0
4
8
16
16
8
0
0
0
0
0
8
0
0
16
2
8
0
0
0
0
0
8
1
0
28
0
0
0
33
0
0
0
0
1
8
8
1
2
8
0
0
0
17
0
18
2
32
40
8
8
8
8
0
16
34
16
4
0
8
0
0
0
0
26
2
0
0
0
0
0
16
9
9
9
0
0
0
0
4
4
4
8
3
2
0
1
16
16
8
21
8
0
0
16
0
32
0
16
16
0
0
0
1
1
8
0
8
1
8
8
18
0
0
0
0
0
0
0
0
1
8
8
8
0
0
0
0
16
16
0
4
4
16
16
0
1
1
1
0
0
2
10
0
0
0
16
0
0
16
19
0
16
0
0
0
0
0
16
0
0
0
24
0
0
8
0
0
0
0
0
0
0
0
0
0
12
16
0
24
0
0
0
8
8
0
0
0
0
0
24
24
24
0
0
0
0
0
0
0
12
32
8
8
8
8
1
8
0
8
0
40
40
0
0
0
0
4
0
0
0
0
0
0
32
0
0
1
0
4
0
1
8
0
0
0
0
9
9
0
0
6
20
32
32
32
8
0
0
0
1
24
0
0
0
0
0
0
0
12
12
4
0
0
0
0
0
0
0
0
8
0
0
16
16
0
1
16
16
16
16
8
0
0
2
16
8
1
16
16
0
0
2
0
0
34
34
0
0
0
0
24
0
0
16
1
1
0
0
21
4
0
0
0
0
0
0
0
16
0
0
0
0
0
0
16
8
0
4
4
14
16
8
0
0
18
0
0
0
16
16
0
0
0
24
8
16
16
16
16
0
0
0
20
16
16
16
16
16
16
16
16
24
40
40
0
0
0
0
0
16
16
19
0
0
0
0
0
20
1
0
1
1
0
0
0
1
3
8
18
8
1
1
1
8
0
0
29
29
29
0
8
16
0
16
0
0
0
16
16
0
0
16
0
0
0
0
2
2
2
0
0
1
0
1
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
2
40
0
0
0
0
0
0
0
16
0
0
12
0
4
4
4
0
32
32
8
0
0
8
8
0
0
8
0
4
2
0
0
24
24
24
0
0
16
16
0
16
1
1
1
0
0
8
0
0
0
16
8
2
2
0
0
0
0
10
32
0
0
0
8
4
16
1
16
0
0
4
16
16
8
1
0
0
51
0
0
0
18
18
8
0
0
0
0
0
0
8
32
32
32
0
0
0
2
1
8
0
0
8
8
0
0
4
0
0
0
0
0
12
0
0
4
4
0
0
0
0
0
0
0
17
17
32
0
0
4
0
18
16
0
4
16
1
8
8
0
0
0
0
0
8
8
0
0
8
0
0
0
0
0
16
8
8
8
8
8
0
0
0
4
4
0
0
0
1
0
4
0
0
0
0
0
8
16
3
0
0
0
20
20
0
0
16
0
0
0
0
0
0
0
0
2
0
0
0
16
0
0
0
0
0
0
4
4
0
16
16
8
8
0
0
1
0
16
0
24
1
1
8
0
0
0
0
0
0
0
48
0
8
0
8
8
0
0
0
8
16
0
0
0
0
0
0
0
0
0
16
0
0
0
16
0
0
0
0
0
0
18
1
0
0
0
0
8
5
0
0
0
0
0
0
0
0
32
0
0
8
16
8
0
0
0
0
0
0
8
32
0
0
0
0
0
16
4
4
0
0
0
8
0
4
0
0
16
1
0
0
0
2
0
0
0
0
0
0
0
16
0
0
0
16
16
0
24
0
28
28
28
0
0
0
0
0
8
0
0
0
0
0
16
16
1
0
0
0
0
8
8
0
0
8
0
8
24
1
25
0
0
16
16
16
16
16
16
16
16
12
0
8
16
0
0
9
9
9
9
8
0
0
0
8
0
0
0
0
0
0
0
0
8
8
0
0
32
0
0
8
0
0
0
0
16
0
0
16
16
16
0
8
0
0
0
0
16
16
0
0
0
0
4
4
5
8
8
0
8
0
8
0
0
2
8
0
16
0
0
0
0
4
0
0
0
0
0
1
0
0
0
10
16
0
0
0
20
20
20
0
0
0
0
8
0
0
0
0
24
0
0
0
0
0
8
8
8
0
16
16
0
4
4
0
8
1
34
0
8
1
4
32
0
0
22
4
0
0
22
22
12
0
0
0
0
16
16
16
0
8
0
8
8
4
4
24
0
0
8
8
0
4
8
1
1
0
16
0
0
0
0
0
0
0
10
0
0
0
0
0
0
0
1
0
16
8
0
32
32
8
8
0
0
8
16
16
24
0
1
1
16
8
8
0
4
4
0
16
8
0
0
0
0
1
1
1
1
0
8
8
0
8
0
0
0
0
16
8
0
0
0
6
16
0
0
8
8
8
8
8
1
1
2
0
4
16
0
0
0
0
16
8
0
24
8
16
8
8
8
0
0
0
16
0
0
8
9
8
12
8
0
0
16
16
16
16
0
0
0
8
0
16
16
8
0
8
20
20
20
16
0
0
8
8
0
20
0
0
0
1
8
8
0
0
16
0
32
0
0
16
0
0
8
8
32
0
0
2
2
0
0
0
16
9
9
0
0
0
8
0
21
21
22
0
0
32
0
0
0
0
12
0
4
8
0
9
8
0
0
0
0
0
8
0
0
0
0
0
0
16
0
8
1
1
1
1
0
8
2
2
2
2
2
2
2
16
16
16
16
16
16
16
0
0
8
16
16
0
22
0
0
0
1
1
24
24
10
10
24
0
0
0
0
0
8
0
0
0
8
44
0
2
22
0
0
0
0
8
0
1
0
0
0
8
8
16
16
8
0
8
16
16
0
8
0
0
0
0
8
0
4
1
0
0
0
0
4
0
8
0
0
0
0
4
4
0
4
1
1
8
0
0
8
4
8
33
33
0
0
0
0
0
8
0
4
0
0
0
27
16
0
0
0
0
10
2
0
8
0
0
0
0
0
0
0
4
0
4
8
2
0
0
4
8
0
16
8
0
56
56
0
16
16
16
16
16
0
0
0
0
8
4
0
0
0
0
8
1
0
10
0
0
8
0
4
4
4
0
0
0
0
0
0
0
0
8
16
8
2
12
4
8
19
19
19
16
0
0
0
0
8
4
4
4
4
0
16
0
16
26
8
0
16
8
0
44
44
0
0
0
4
0
2
0
0
16
3
10
24
16
8
8
24
0
0
8
8
0
34
0
8
0
0
4
4
0
0
0
8
0
0
0
0
32
16
16
16
0
0
0
4
8
0
16
0
8
0
0
16
0
16
16
8
0
8
0
0
8
8
8
0
0
4
8
8
0
8
8
8
2
2
8
16
0
0
4
4
1
1
8
0
0
16
17
8
0
0
0
0
0
0
0
0
8
0
8
0
0
0
0
33
4
8
8
8
8
1
16
0
8
0
0
16
16
0
0
1
0
2
32
32
32
16
0
0
2
0
0
0
0
0
0
0
4
0
0
8
8
8
8
8
0
16
0
2
0
0
0
0
20
0
0
0
17
17
0
0
0
25
25
0
2
0
4
4
0
0
2
16
32
9
16
4
0
0
0
4
8
0
0
0
8
3
3
2
2
0
0
0
8
16
0
0
0
0
0
17
0
0
0
0
8
0
1
0
0
16
16
16
16
4
8
0
17
8
8
0
36
36
8
8
16
2
0
0
1
0
8
8
16
0
0
8
0
4
8
8
0
0
0
18
0
0
8
8
1
0
0
0
0
0
0
0
8
8
2
0
0
2
0
0
24
16
0
0
0
0
16
8
0
8
0
0
4
5
0
0
1
0
0
8
0
0
0
0
19
19
19
0
8
0
18
18
8
8
0
0
0
8
8
0
16
26
0
0
0
0
8
40
8
0
8
8
8
8
0
29
0
0
4
4
8
0
0
4
57
57
57
57
57
0
0
0
0
0
16
16
0
0
0
0
0
4
2
2
8
8
0
0
8
8
8
0
4
8
0
0
0
0
0
0
0
0
16
4
8
0
0
0
0
0
0
0
4
4
4
4
4
4
4
0
18
18
0
8
0
17
4
8
16
8
0
0
0
0
16
16
4
4
30
24
24
24
16
8
0
0
0
0
0
0
0
0
0
8
0
8
8
8
16
16
0
0
8
8
8
0
0
16
0
0
0
0
8
1
0
1
1
1
1
0
0
17
0
0
0
0
0
0
9
16
0
0
0
6
6
6
0
0
0
0
0
0
0
0
0
1
0
0
0
48
0
0
0
0
0
0
20
20
20
20
20
16
16
0
12
0
16
0
0
17
2
2
2
8
0
0
1
1
1
16
1
0
16
4
0
0
16
0
0
16
0
0
0
0
1
0
0
8
16
0
0
0
0
0
0
2
2
2
2
2
8
32
32
32
8
8
0
0
0
16
16
0
0
0
18
18
8
8
14
14
0
0
0
0
0
0
0
25
0
0
0
0
0
16
0
0
0
48
0
0
8
0
0
0
0
10
10
10
0
8
8
1
0
0
8
16
1
1
0
0
0
0
0
0
0
0
0
0
0
4
4
4
2
0
0
0
0
0
0
4
0
0
16
2
16
0
2
8
16
0
16
16
0
8
0
0
16
0
8
8
0
16
4
0
16
16
16
16
16
0
0
0
8
8
0
0
0
0
0
0
1
16
16
0
8
0
0
8
16
0
0
52
52
4
0
0
0
0
0
0
0
0
0
0
0
0
0
9
9
16
16
16
16
4
0
2
0
0
0
8
8
8
0
0
32
0
0
16
16
0
8
0
0
0
8
0
0
16
16
2
8
0
8
17
0
0
0
4
0
16
0
0
16
4
1
0
4
4
4
0
4
8
0
1
4
0
0
0
0
0
0
8
8
8
2
2
2
0
0
0
0
32
0
16
42
32
8
8
8
0
4
0
8
1
0
0
1
8
0
0
2
0
2
8
16
0
0
0
0
0
2
4
6
0
0
4
1
0
0
0
8
8
0
0
8
0
4
4
8
8
8
2
0
0
0
0
0
0
0
0
17
17
17
8
0
41
41
41
0
8
2
0
0
0
0
1
1
8
0
0
0
0
8
24
0
1
0
2
8
0
16
16
24
0
0
8
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
8
16
0
0
0
1
1
0
0
0
0
16
16
0
0
0
0
0
0
4
0
0
0
8
2
0
0
0
16
16
0
8
0
32
32
16
0
10
10
0
0
0
8
57
0
0
16
16
0
0
0
0
4
4
8
8
8
0
0
0
8
8
1
0
0
0
16
16
16
25
0
12
8
8
8
32
32
16
16
0
16
18
0
8
0
0
0
0
8
2
5
4
4
17
0
0
7
7
32
8
16
0
6
0
4
4
0
0
0
19
19
19
0
0
0
3
3
3
3
16
0
0
0
0
0
0
0
0
16
0
16
16
16
16
16
16
16
16
0
0
8
1
4
6
0
0
0
0
0
8
0
1
1
1
0
2
2
1
1
0
0
0
0
0
0
2
8
51
32
8
16
16
0
0
0
0
0
52
8
2
2
8
0
0
0
0
8
0
0
0
0
5
0
0
0
0
0
0
4
0
8
8
16
2
0
8
8
8
0
0
0
0
0
0
0
0
2
16
0
0
0
0
0
24
16
9
0
16
16
0
0
0
4
16
1
0
0
0
1
1
0
0
0
0
16
35
0
0
8
16
8
8
8
0
0
0
6
0
0
0
0
0
2
2
0
0
8
8
8
0
0
0
0
0
20
20
2
0
8
0
0
4
0
0
0
1
1
8
0
0
12
12
3
0
24
24
0
0
16
16
1
0
24
24
8
0
4
0
16
16
16
16
16
16
16
9
0
0
8
8
0
0
0
0
16
8
8
8
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
8
16
0
8
8
8
0
8
8
0
2
5
0
0
0
0
0
8
0
0
0
8
0
16
16
16
0
0
0
2
0
0
0
60
8
0
0
0
0
0
0
0
0
4
4
0
24
8
8
0
1
1
1
1
16
26
26
0
0
0
0
0
16
16
0
0
0
0
1
1
1
0
8
0
0
0
0
16
2
24
0
0
0
0
0
0
4
0
20
40
40
4
40
40
10
30
20
20
8
0
0
4
4
0
4
2
0
0
4
4
0
0
0
32
8
4
4
20
57
0
20
0
0
0
8
0
0
0
0
0
8
0
24
4
0
2
2
18
0
0
0
0
0
0
0
0
8
0
0
0
0
0
4
1
0
19
0
0
0
0
0
16
8
0
0
0
16
8
0
0
0
0
0
0
0
0
0
16
16
16
8
1
0
0
0
0
0
0
0
8
0
3
0
0
0
0
0
4
4
16
0
0
0
32
0
0
16
1
4
4
1
1
1
0
16
0
0
8
0
4
4
0
0
0
0
4
8
8
8
17
0
8
0
0
16
0
0
0
4
0
0
8
0
0
0
28
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
16
6
0
0
8
0
8
4
8
5
5
0
0
6
6
0
0
0
8
0
0
0
8
0
3
0
0
0
0
0
0
8
3
3
8
8
0
0
8
8
8
8
8
0
0
0
0
0
8
8
0
0
0
8
8
8
8
2
0
16
0
0
0
4
16
16
0
0
2
0
0
0
0
0
0
0
0
8
0
16
8
0
16
0
8
0
45
45
0
0
0
0
0
0
0
20
20
4
4
0
0
0
0
0
0
0
20
0
0
8
0
0
0
8
0
0
1
0
4
8
2
8
0
0
1
1
16
0
32
32
0
1
24
24
0
0
16
4
4
8
0
0
0
0
0
0
0
0
0
8
8
8
8
0
0
8
8
8
8
8
8
0
0
0
0
8
16
32
32
32
8
0
16
16
16
0
0
0
8
8
8
0
0
49
16
4
4
16
3
0
0
0
16
16
8
8
0
0
0
0
0
0
16
24
24
24
24
0
0
0
16
16
0
24
24
0
0
8
0
0
8
8
0
0
0
16
16
0
1
0
0
4
16
16
0
8
16
16
0
12
12
0
0
0
0
0
8
8
8
16
16
0
0
0
16
16
0
0
6
6
8
8
8
8
8
8
4
0
0
8
2
2
0
0
0
0
0
0
0
0
0
0
16
0
16
4
36
0
9
9
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
8
0
0
1
1
8
2
16
16
0
0
0
24
0
0
8
8
4
4
8
0
0
0
0
0
0
1
1
8
8
2
16
0
2
24
0
8
0
0
0
0
0
2
16
8
8
8
8
8
30
30
36
36
2
16
4
0
8
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
2
5
0
0
0
8
8
8
0
0
0
0
1
1
1
1
8
16
16
16
0
4
8
0
0
8
0
1
0
0
0
28
28
0
32
8
0
0
0
0
8
8
0
0
0
0
0
32
32
16
8
0
1
0
8
8
0
0
0
1
1
4
1
1
1
0
33
33
33
8
8
8
0
24
8
0
16
16
1
1
1
0
0
0
0
16
0
0
4
8
8
8
5
5
1
8
8
8
8
0
0
8
0
0
1
1
8
28
28
0
0
0
8
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
16
24
0
0
8
0
0
0
0
0
16
16
16
8
0
0
0
10
10
24
8
0
0
56
56
8
16
32
8
12
0
0
16
0
0
0
0
0
0
8
8
8
8
8
8
8
8
0
0
2
2
2
2
8
0
0
8
8
0
0
0
16
16
16
16
16
16
16
16
0
0
8
0
0
0
1
0
8
16
16
0
16
16
16
0
0
0
16
0
0
0
0
0
16
16
16
0
8
0
0
0
0
16
0
0
0
0
0
0
0
9
0
0
0
0
0
1
4
8
16
24
32
32
8
8
8
8
0
0
16
8
16
16
0
0
0
2
2
8
16
8
8
8
8
8
8
16
0
8
8
8
8
8
8
8
8
0
0
0
0
0
32
3
0
0
0
0
0
0
0
0
0
8
0
8
0
0
0
0
8
8
8
8
4
48
48
48
0
8
0
0
0
0
17
17
8
8
0
0
0
0
8
0
0
0
5
0
0
4
16
0
0
0
24
41
8
0
0
2
16
16
16
8
8
8
8
0
8
24
0
2
2
16
0
16
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
8
0
0
0
17
0
1
0
16
8
4
0
8
8
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
12
12
0
0
0
0
2
2
0
0
4
8
8
8
8
8
4
12
16
16
16
0
4
16
0
0
0
0
16
8
17
1
1
1
16
32
32
32
32
8
8
16
8
16
0
24
24
0
8
32
0
0
0
0
16
0
0
16
0
16
16
1
1
16
0
0
0
24
8
0
0
0
8
8
0
0
8
8
4
0
0
4
20
0
16
0
0
0
0
0
0
0
0
0
0
8
0
24
1
0
8
8
8
0
18
16
16
1
1
1
0
0
0
0
0
0
0
0
0
28
0
2
2
16
0
0
0
8
0
0
0
0
0
0
8
17
0
1
28
8
8
8
8
0
4
0
0
16
0
1
1
16
32
0
1
0
18
0
0
0
0
20
0
0
0
0
16
16
0
0
0
0
0
0
0
16
0
4
8
8
8
0
0
0
0
0
0
0
0
8
0
0
0
8
2
8
8
16
20
6
8
0
8
0
0
2
0
0
8
8
8
8
4
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
1
0
0
0
8
4
4
1
1
0
0
1
0
0
0
0
8
0
8
0
0
16
0
0
16
0
0
0
0
0
8
16
8
0
16
8
0
16
16
16
16
0
0
16
0
0
0
0
0
0
2
1
1
1
8
8
0
32
4
4
0
0
0
0
16
0
0
0
0
4
4
4
4
4
4
4
8
0
0
0
0
33
33
20
0
8
0
0
0
0
0
0
0
0
18
0
0
0
0
8
12
0
0
0
0
16
0
0
0
0
0
0
0
0
8
0
0
0
3
0
0
0
1
1
0
16
8
0
0
0
24
16
16
0
0
0
0
0
0
16
0
1
0
16
16
0
0
8
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
8
8
0
0
0
0
4
0
0
0
4
8
8
4
0
16
0
8
8
0
16
16
16
0
0
0
4
0
0
0
0
0
0
4
0
0
0
1
2
0
16
0
16
16
16
16
16
16
8
8
0
0
2
0
16
16
0
0
8
0
0
0
1
1
16
6
6
0
8
8
8
8
0
0
0
0
0
0
0
0
4
8
0
0
0
0
10
2
2
0
0
0
0
32
4
0
0
0
0
0
0
0
16
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
8
8
0
0
0
16
0
8
0
0
0
0
2
0
0
0
0
4
2
2
2
2
8
8
24
0
0
0
4
0
0
0
0
8
0
24
24
0
24
0
0
0
8
0
0
2
0
8
0
0
0
16
9
8
0
2
0
0
0
0
0
0
0
0
0
0
0
8
0
8
0
0
0
0
16
2
0
0
0
0
0
1
1
0
8
0
0
8
0
0
0
16
16
0
0
0
2
2
2
0
0
0
0
0
0
0
0
8
0
0
24
2
0
32
0
0
0
0
0
0
8
8
0
0
8
0
0
0
0
0
0
0
0
0
0
2
2
2
0
8
0
0
0
33
33
8
8
16
7
4
0
0
8
0
16
16
19
19
0
8
0
0
0
0
0
0
0
0
8
16
8
0
16
16
0
8
8
0
0
0
8
8
0
16
9
16
16
16
16
0
16
0
1
0
0
0
16
16
16
0
0
0
0
8
0
8
1
0
0
0
8
0
1
1
0
8
0
8
20
0
8
16
0
0
0
0
0
0
0
0
0
8
0
0
0
8
0
0
0
2
0
0
0
0
24
0
0
0
4
28
8
0
4
16
16
0
0
0
8
0
0
0
0
0
0
0
5
5
0
0
16
1
0
0
8
0
0
8
0
8
0
8
0
0
18
0
8
8
0
0
0
1
0
8
0
0
9
0
0
0
0
9
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
16
20
8
0
20
0
0
0
0
0
1
1
1
0
0
8
2
0
0
0
0
8
0
8
0
0
0
0
16
39
0
0
24
8
18
18
18
0
4
0
0
0
0
17
17
17
17
0
8
0
0
8
0
8
18
18
18
0
0
9
9
0
32
1
0
4
0
0
8
0
9
0
0
16
0
0
0
8
0
0
0
0
0
0
16
16
8
0
0
0
10
10
0
0
0
0
0
8
0
0
0
0
6
16
8
4
0
0
8
8
8
4
2
2
20
2
0
24
0
17
8
8
0
0
16
8
8
8
0
0
16
0
16
0
0
0
4
0
0
0
32
25
24
8
12
4
0
8
8
4
9
0
0
0
0
1
0
16
4
0
20
8
0
0
0
0
4
4
0
0
16
0
0
16
8
8
16
8
0
8
0
0
0
0
0
48
2
2
8
8
8
16
0
0
0
0
0
0
8
0
0
0
16
16
0
0
0
20
20
20
20
0
20
0
0
16
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
18
0
0
0
0
0
0
1
4
0
0
16
4
4
16
0
0
0
16
0
0
2
0
1
16
16
8
8
8
0
8
16
0
0
0
0
0
0
0
16
0
8
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
2
0
0
8
0
0
4
0
0
0
0
0
0
0
0
8
0
0
8
0
0
2
0
8
8
0
16
16
0
8
16
0
0
0
16
16
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
35
16
0
0
0
0
0
0
4
16
8
0
0
0
58
0
0
0
0
0
12
0
0
0
0
0
0
0
0
0
8
0
4
0
0
32
32
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
8
8
0
8
0
0
0
32
0
0
16
0
0
0
0
0
0
4
0
0
21
21
16
0
24
16
16
0
0
0
0
8
0
8
0
8
0
0
0
0
0
0
0
0
0
24
0
0
0
8
0
0
32
32
8
5
4
16
4
4
4
8
0
4
16
0
0
16
8
0
12
0
0
0
0
0
8
8
0
8
8
0
0
8
0
0
0
8
0
8
8
0
8
0
0
0
0
0
4
8
0
0
16
7
0
0
0
0
0
0
0
0
0
0
48
0
8
8
40
20
0
0
0
0
16
16
16
16
16
16
16
8
8
0
0
0
0
0
0
2
24
0
0
0
0
0
0
0
0
0
8
0
8
8
16
16
16
0
0
0
4
0
20
20
8
1
1
0
2
8
8
8
8
0
0
0
0
8
8
0
8
8
8
0
0
0
0
0
16
0
0
0
10
10
0
1
1
0
0
0
0
8
0
0
0
0
0
0
0
16
16
16
0
4
21
0
0
0
2
0
0
4
4
1
16
0
17
0
0
0
16
8
6
0
0
0
16
0
0
0
0
0
8
0
0
0
0
8
1
0
16
0
0
4
0
0
8
8
0
26
4
0
0
0
8
0
0
0
0
8
0
0
8
16
16
0
0
0
0
0
48
16
16
16
16
8
8
0
16
0
0
0
0
0
8
0
22
0
0
0
0
2
1
24
4
0
0
0
0
0
8
8
0
0
0
16
0
0
16
16
0
8
1
8
9
0
32
0
0
4
1
8
2
0
0
0
0
0
0
8
1
1
31
0
4
4
0
0
0
0
0
8
8
8
0
0
0
0
1
1
0
0
0
0
0
1
35
0
0
8
0
0
8
8
4
0
0
0
4
0
0
8
8
0
0
0
0
0
0
16
0
16
2
28
0
0
0
0
0
0
0
0
1
1
1
0
0
0
0
16
2
8
16
0
4
2
0
0
0
0
0
0
0
1
24
0
4
4
0
8
0
0
8
1
8
8
0
8
8
0
0
0
0
4
8
0
8
0
8
8
0
0
0
8
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
16
0
0
8
0
0
16
0
16
8
16
0
0
16
0
0
0
0
8
17
4
0
8
0
4
4
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
16
8
8
4
0
0
0
8
0
0
8
8
25
2
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
32
0
0
16
8
8
20
0
0
0
0
0
0
0
0
0
0
0
16
16
0
16
16
16
16
0
8
0
0
0
0
8
2
2
16
0
24
24
8
8
0
0
0
0
0
0
0
0
0
8
24
16
0
2
2
0
2
0
4
10
12
4
8
8
8
0
8
0
1
0
16
8
8
8
8
8
8
0
2
2
0
1
1
0
0
0
0
8
2
16
16
0
0
0
0
0
0
32
20
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
20
2
0
0
0
9
9
0
2
0
0
0
0
0
0
0
0
0
0
0
0
4
1
1
0
8
0
0
0
0
0
0
16
0
8
8
0
0
0
0
0
0
8
8
0
0
24
8
0
0
2
2
2
2
0
0
16
16
16
8
16
0
0
0
0
0
0
0
0
0
0
0
0
48
10
0
0
0
0
16
8
0
0
0
0
28
0
8
8
16
16
16
16
16
0
0
4
0
0
0
0
0
0
16
16
16
0
0
16
24
24
0
0
1
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
4
8
8
0
16
0
2
0
0
17
16
16
16
2
4
0
0
0
0
16
8
0
0
0
8
8
0
8
8
0
16
0
0
0
4
16
4
4
0
0
0
0
0
8
16
0
0
8
8
8
16
1
1
0
0
0
1
1
0
0
29
0
0
20
0
8
8
0
0
4
0
0
0
8
0
0
4
4
0
0
0
8
8
8
4
4
0
4
4
0
16
8
8
8
0
0
0
8
24
16
12
0
8
8
0
8
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
8
0
0
0
16
0
0
0
48
0
0
0
0
0
24
0
0
0
0
0
16
16
1
0
8
8
1
0
0
0
0
0
0
4
4
4
4
4
0
0
0
0
0
24
2
17
0
0
0
16
6
6
0
0
0
0
8
0
0
0
0
4
4
8
0
16
8
0
16
16
0
16
16
16
0
0
0
0
0
8
4
0
0
8
8
4
4
0
0
0
0
0
0
0
24
0
0
0
0
0
0
0
0
0
0
2
4
0
8
16
16
16
8
0
0
0
0
0
8
0
0
16
0
0
0
0
7
0
10
0
0
0
0
0
8
8
2
0
0
16
16
0
0
0
0
0
0
0
0
8
8
0
8
0
0
0
8
0
0
0
0
0
0
0
20
0
8
0
0
0
0
4
16
0
0
0
8
8
0
0
8
8
0
0
0
28
0
0
0
0
0
8
8
8
0
8
8
0
8
8
8
16
8
2
8
0
0
0
0
0
0
0
0
59
0
8
0
0
0
0
0
0
0
0
0
0
0
16
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
4
0
0
9
0
0
0
0
0
0
0
0
0
0
18
18
16
0
0
0
0
24
0
0
9
1
0
8
8
0
0
0
8
26
26
0
16
16
0
0
0
0
0
16
0
2
6
6
1
0
0
0
0
0
0
0
0
8
8
0
0
0
0
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
0
0
0
8
8
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
3
20
20
20
0
0
18
0
4
8
0
8
0
8
0
0
4
0
12
16
1
0
0
0
0
8
0
0
22
0
0
0
0
1
0
8
8
8
0
0
18
0
0
19
0
8
0
0
0
0
0
0
16
2
0
0
4
4
0
0
16
4
0
8
0
0
0
0
0
24
8
0
16
16
4
4
0
0
16
16
16
0
0
0
0
24
24
24
8
24
0
0
24
0
0
16
24
0
0
0
0
8
8
8
0
0
0
16
16
0
0
0
24
0
8
0
0
8
0
0
8
0
0
0
41
0
0
8
8
2
0
0
0
0
2
0
8
0
0
0
0
0
17
0
0
0
8
4
16
4
0
4
2
2
2
0
8
0
8
8
0
3
0
16
0
20
0
8
8
0
0
0
0
0
0
0
16
0
0
16
8
8
8
0
8
8
2
16
16
16
0
2
0
0
0
0
0
0
0
0
24
2
2
2
0
16
16
16
8
0
0
0
16
8
4
0
0
0
8
0
8
0
8
0
10
0
0
0
32
0
0
24
0
0
0
16
16
0
16
0
0
0
0
0
16
0
0
0
0
0
0
4
0
40
40
40
0
0
8
0
0
0
0
0
4
2
0
0
0
0
16
0
16
0
8
0
8
24
0
0
0
0
0
0
0
0
0
16
0
0
0
16
0
0
1
0
0
0
0
0
18
0
0
0
1
2
2
56
0
0
0
5
16
16
0
0
0
0
0
9
1
0
1
18
0
0
0
8
0
0
0
0
8
0
0
0
0
0
0
8
0
8
1
4
6
0
8
0
0
0
8
8
0
0
0
24
0
0
8
8
0
0
0
0
8
0
8
0
0
0
0
8
0
8
8
0
0
0
0
0
0
48
0
0
24
0
0
0
0
0
16
2
2
0
2
1
0
59
59
59
0
1
0
0
8
8
0
25
4
8
32
32
0
8
18
0
0
0
0
0
0
0
16
0
0
1
4
32
0
0
2
0
0
0
16
0
0
24
0
0
6
6
8
1
1
1
1
1
1
1
1
8
0
16
8
0
8
0
9
2
0
0
0
4
0
0
0
10
10
0
1
0
0
0
0
0
12
0
0
0
0
0
0
0
0
0
24
0
0
4
8
8
0
4
0
0
0
0
0
24
0
0
0
16
16
0
0
0
16
0
0
8
8
4
0
8
0
8
8
1
0
1
0
0
0
0
0
5
0
0
0
4
0
16
8
0
0
0
8
0
0
0
0
16
16
8
0
8
0
8
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
18
0
0
3
0
0
0
1
0
0
0
0
0
0
0
4
32
3
4
0
0
8
0
0
0
0
0
16
16
16
0
16
1
8
8
28
0
0
0
0
16
0
0
0
0
0
0
0
4
4
0
8
8
8
0
8
0
0
0
0
0
0
0
0
10
28
16
16
16
0
0
0
8
1
0
0
16
0
0
0
8
8
20
8
1
0
0
0
16
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
4
4
4
8
8
16
0
0
0
0
0
0
0
8
8
2
4
2
0
0
0
18
18
0
0
30
0
1
8
0
0
8
8
0
0
0
0
0
0
4
0
0
0
16
16
8
1
0
0
0
0
8
0
8
8
0
0
0
0
0
0
16
0
24
8
8
8
0
0
0
0
4
0
0
0
0
0
4
0
9
9
16
8
0
0
2
2
0
0
0
0
8
0
0
0
0
0
0
2
16
0
0
16
0
0
0
0
4
0
17
8
8
0
0
0
0
4
8
8
8
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
1
0
16
16
0
0
8
0
0
0
8
8
0
0
36
0
0
0
0
0
0
0
0
16
8
8
0
0
0
4
24
16
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
8
0
16
16
8
0
16
16
16
0
0
1
4
0
0
0
0
1
0
0
0
0
0
0
0
0
0
4
0
8
0
8
0
1
0
0
0
0
0
0
0
1
0
0
32
4
16
0
0
0
0
0
0
8
0
0
0
8
0
0
0
16
2
8
16
16
0
0
0
0
0
0
0
0
16
0
0
8
0
8
8
8
2
2
0
16
16
0
16
8
0
24
0
8
8
8
0
0
0
0
8
8
0
0
0
8
0
0
0
0
0
0
0
8
16
0
2
16
16
0
0
16
16
32
32
32
0
16
0
0
1
8
8
8
8
8
8
8
8
4
1
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
4
4
4
0
0
0
0
0
0
0
0
8
16
16
16
4
0
1
1
0
0
0
0
0
8
0
0
8
8
0
8
16
8
17
1
0
8
0
0
16
16
0
0
0
8
0
16
0
0
16
20
16
0
0
0
0
16
16
0
8
8
16
0
0
16
16
0
8
16
4
8
0
0
0
24
8
0
0
0
0
8
16
0
20
0
8
0
1
1
4
0
0
0
0
0
1
0
8
16
8
8
0
1
0
0
0
16
4
16
0
0
0
0
0
24
0
0
0
2
2
2
8
0
24
0
12
12
12
0
0
16
16
16
0
0
0
4
0
0
0
16
0
0
0
0
0
0
16
16
16
16
16
16
16
16
16
8
0
0
24
16
0
0
0
8
8
8
16
0
0
8
8
8
0
2
8
0
16
0
0
0
0
0
1
1
1
0
0
16
0
8
8
8
1
0
0
8
0
16
8
8
8
16
0
0
1
16
16
4
4
4
4
4
4
4
4
4
4
4
4
16
0
0
17
17
17
0
0
0
0
0
0
0
0
4
4
4
5
5
5
0
4
0
8
1
0
2
2
0
0
16
16
0
0
0
0
0
8
16
0
0
8
8
8
3
0
0
9
0
0
8
8
0
0
0
0
16
0
0
20
0
0
8
8
0
0
0
0
8
0
0
0
0
12
8
0
0
34
2
0
0
0
0
0
4
16
16
0
0
0
5
0
0
0
0
0
24
24
0
0
0
8
0
0
8
1
0
0
0
0
8
0
2
0
17
0
0
0
16
8
0
0
4
8
0
0
0
33
0
0
0
0
0
16
0
0
0
0
16
16
0
0
0
0
16
0
0
2
18
24
4
10
0
0
0
0
0
0
2
1
0
16
16
16
16
0
4
0
16
16
8
0
0
0
16
16
0
1
8
1
0
0
0
8
8
16
20
1
0
16
16
16
0
0
16
0
8
2
2
2
0
0
0
8
16
16
0
0
0
8
0
8
0
0
0
16
0
0
0
0
8
8
8
16
0
0
8
0
4
0
8
0
0
4
16
30
0
2
2
0
0
0
0
0
0
0
0
0
0
0
8
4
8
4
16
16
0
0
0
8
8
8
0
8
0
0
0
4
4
0
0
0
8
8
0
9
9
0
0
0
2
0
0
2
8
0
0
0
0
8
0
0
8
8
0
0
9
0
0
0
8
0
0
17
17
8
0
8
0
0
4
8
9
9
8
16
15
0
0
16
1
0
0
0
0
0
0
1
0
28
0
0
2
16
0
16
16
8
0
0
20
1
0
0
0
0
0
0
0
0
0
0
0
0
0
4
2
2
2
0
16
0
0
0
0
8
1
2
0
8
0
0
8
8
8
0
16
0
0
0
0
16
16
16
16
12
12
4
4
0
0
24
24
0
4
0
0
0
0
8
32
32
0
0
8
0
2
0
0
0
0
8
8
8
16
10
10
0
0
8
0
0
4
4
4
0
0
4
16
0
0
1
0
8
8
8
0
4
0
0
16
0
16
0
2
0
0
16
16
6
6
6
0
0
0
16
0
8
0
0
0
8
0
0
8
8
8
11
8
8
18
0
16
0
0
8
16
16
8
8
0
2
0
0
16
0
12
12
0
0
0
0
0
0
8
8
2
2
8
16
0
2
0
0
0
6
6
0
0
4
0
24
24
0
28
0
0
0
32
16
0
0
24
0
0
16
0
4
4
4
0
2
2
4
4
4
8
8
8
0
16
0
0
8
0
10
1
8
16
16
0
16
16
8
2
8
0
0
0
0
0
0
8
16
16
16
16
16
0
8
0
0
16
0
8
0
0
12
0
0
0
0
0
0
8
8
8
0
4
0
8
16
16
16
16
16
16
0
8
8
0
4
0
0
0
0
0
0
0
0
0
0
16
0
0
2
0
0
2
8
0
16
8
0
0
0
0
0
0
24
8
8
8
8
8
0
8
8
8
0
0
0
0
0
1
0
0
0
8
8
24
0
0
8
16
0
0
0
4
0
32
0
8
0
8
8
0
0
0
1
1
0
2
8
0
4
26
26
26
16
8
8
8
8
0
16
0
8
8
8
16
8
0
0
42
0
4
0
0
8
0
0
0
0
4
4
0
0
0
0
16
16
0
8
16
16
2
2
16
0
0
16
0
0
0
0
32
0
8
16
16
0
0
8
0
1
5
5
5
0
0
16
0
8
17
0
0
0
8
2
8
8
8
1
24
0
0
16
0
0
0
4
4
8
0
0
0
0
4
4
16
0
16
16
8
12
8
8
4
17
0
0
0
0
0
0
8
0
0
0
0
0
8
8
16
0
0
0
0
8
48
48
48
48
0
4
8
16
16
16
8
8
8
0
0
16
0
0
0
16
9
0
0
2
4
1
0
0
2
8
8
10
10
0
0
8
0
0
0
8
8
0
0
0
16
16
16
0
0
42
0
8
8
8
0
0
0
8
8
8
8
4
0
0
1
0
0
0
0
0
17
8
8
24
0
8
0
0
8
0
0
0
16
0
0
0
0
8
0
0
0
1
2
1
1
1
1
1
0
0
0
1
0
12
9
0
0
0
0
0
4
0
1
1
16
0
0
8
0
0
16
0
0
0
0
0
0
2
0
0
0
0
0
0
16
0
0
0
0
8
0
0
0
16
2
0
0
0
16
8
0
0
16
2
16
16
16
16
16
16
16
16
16
16
16
8
24
0
0
0
8
0
0
0
0
0
0
0
0
0
8
0
8
0
0
8
8
8
16
16
16
16
0
20
0
0
0
8
8
8
8
0
0
8
2
4
8
8
8
16
0
0
16
0
0
18
8
0
8
0
8
4
4
5
0
8
8
0
0
16
0
2
0
16
8
0
0
0
19
19
19
0
0
8
0
28
8
0
4
4
4
16
0
8
4
16
8
8
0
0
0
16
8
0
1
4
16
0
0
0
0
18
8
0
0
0
0
16
0
0
4
4
0
8
8
1
0
8
0
0
0
16
16
8
0
0
0
2
0
16
16
0
0
16
0
16
0
0
0
0
0
61
61
0
0
0
0
0
0
8
8
8
16
16
0
1
16
0
0
2
9
16
0
8
8
16
1
0
0
0
0
18
0
0
0
16
8
0
2
2
0
0
0
5
4
4
8
0
24
0
0
0
0
0
8
0
32
8
8
2
4
0
0
4
0
0
8
8
1
1
1
1
2
2
0
0
2
0
0
8
8
8
2
2
8
8
2
0
0
0
0
16
16
0
0
0
0
0
8
0
16
16
16
0
0
8
0
8
0
1
8
1
1
16
2
0
0
0
0
26
8
12
0
0
0
2
1
0
16
0
8
8
8
0
0
0
0
0
8
1
0
0
0
0
0
0
16
16
0
0
8
8
0
0
0
8
20
20
0
0
16
16
0
0
0
0
0
4
4
0
0
0
0
16
16
0
0
0
0
16
16
0
4
4
4
0
0
0
0
17
17
8
0
35
4
0
0
16
0
0
0
29
0
0
8
0
16
0
17
17
17
0
0
0
0
8
0
0
1
16
0
16
20
4
8
16
8
8
16
8
8
8
8
8
8
0
0
1
1
1
1
16
16
1
1
0
0
18
16
16
16
8
0
8
6
0
4
0
4
0
0
0
0
0
0
4
16
0
8
1
22
22
0
0
0
0
0
0
0
1
1
0
0
0
24
0
19
8
4
4
16
0
8
0
0
0
0
0
0
0
8
0
0
8
16
0
0
16
16
0
0
0
0
4
4
0
2
0
0
0
20
16
16
16
0
0
0
24
0
40
40
8
1
0
0
0
0
4
19
16
16
30
0
0
0
0
0
0
0
0
0
0
0
8
16
0
0
0
0
0
0
0
21
0
0
0
0
1
0
8
16
0
0
8
8
8
16
32
1
1
8
0
16
0
16
16
16
1
0
0
8
32
0
0
0
0
0
0
8
0
16
16
8
8
8
8
0
1
24
24
24
24
0
0
12
12
16
16
0
0
16
8
0
0
0
8
3
3
3
4
32
9
9
33
33
16
0
0
0
0
2
0
18
53
0
0
0
32
0
0
0
0
0
16
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
32
8
16
24
6
0
0
8
9
0
8
0
0
0
0
1
4
4
4
4
16
0
0
0
8
8
12
12
12
16
16
16
16
0
8
14
0
8
8
4
0
0
0
0
0
0
8
0
0
0
8
0
8
8
8
0
16
0
2
0
0
0
0
8
8
0
0
0
0
24
24
8
1
12
16
2
2
2
2
2
0
0
8
1
8
0
0
0
4
4
0
0
0
8
16
4
0
0
2
2
8
0
8
4
4
8
0
0
0
0
0
0
0
0
16
0
0
16
0
0
0
0
0
8
0
8
0
0
16
0
0
0
0
0
0
16
4
0
8
16
0
0
8
8
24
2
2
8
8
4
0
0
0
0
2
40
32
32
0
50
0
2
8
0
0
0
0
0
0
0
0
0
18
18
0
12
0
0
0
0
8
8
0
1
1
0
8
8
0
0
0
0
0
16
1
1
1
1
16
0
0
8
0
0
4
8
36
8
0
1
0
3
0
0
0
6
8
8
0
0
0
4
16
0
0
8
0
4
0
0
0
16
16
0
16
16
16
16
16
16
0
0
0
0
8
34
8
0
16
0
0
2
0
8
8
8
8
20
16
16
0
0
0
1
0
12
4
1
0
24
0
0
1
0
16
1
1
0
8
8
0
2
0
0
8
8
8
8
16
16
0
16
1
4
0
0
8
8
8
8
24
24
0
8
0
17
17
17
17
0
0
0
16
1
4
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
8
0
0
4
0
2
2
16
16
0
0
0
0
1
0
0
16
0
20
0
8
8
8
8
0
8
16
0
0
8
0
0
8
34
0
1
0
0
0
0
8
8
0
1
0
8
0
0
0
0
0
16
16
0
8
8
0
0
0
0
4
0
0
8
8
0
0
16
4
0
9
4
1
0
0
0
0
0
0
0
0
0
4
32
32
4
4
4
0
0
0
2
2
16
8
8
8
0
0
16
32
33
4
0
0
0
0
0
0
0
8
4
4
1
0
0
0
8
8
0
0
4
4
0
16
0
8
4
0
4
4
4
4
0
0
8
8
0
0
0
0
0
0
4
4
16
0
16
0
0
0
0
16
0
0
0
16
16
0
0
9
8
0
0
0
4
0
0
0
0
0
2
2
2
16
0
16
12
0
0
0
0
1
0
16
16
0
0
0
2
0
0
0
0
0
6
0
0
0
0
0
0
0
0
0
0
0
0
8
33
16
16
0
0
0
0
16
8
0
8
0
0
0
4
0
0
0
0
0
0
17
8
8
0
0
0
24
1
1
0
23
0
0
18
18
16
8
8
0
0
4
8
0
0
0
0
0
4
24
32
0
16
16
16
16
16
0
0
0
0
20
20
20
0
8
8
0
16
16
10
10
8
0
0
0
0
0
0
0
0
0
16
19
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
16
16
0
8
8
0
8
8
24
24
16
16
4
0
0
8
8
0
0
0
0
0
16
0
0
24
24
24
24
24
0
18
16
16
0
17
0
8
0
0
0
16
16
16
0
24
16
16
0
20
4
0
0
0
32
9
0
5
0
0
8
8
16
16
20
18
18
16
0
0
0
0
0
24
0
8
4
0
0
4
0
20
0
0
0
0
4
16
16
16
16
0
8
0
13
13
0
16
0
16
0
8
0
0
0
0
0
16
4
8
8
8
0
0
8
16
0
0
8
8
8
0
8
8
8
1
0
0
33
33
0
0
0
16
0
1
0
16
0
0
0
24
0
8
34
4
4
5
20
0
16
16
0
0
0
8
0
40
0
0
0
0
0
0
0
8
16
0
4
16
0
4
4
4
16
16
0
0
0
0
0
0
0
0
1
0
0
4
0
1
0
0
0
0
16
0
0
0
0
4
4
2
0
0
0
16
8
16
16
0
0
0
2
0
1
1
0
0
0
0
0
0
16
16
0
0
1
0
0
20
20
0
0
16
0
0
8
0
32
36
16
0
0
0
8
4
4
0
11
4
4
4
16
0
4
4
0
40
0
0
0
0
0
33
0
0
0
0
8
0
4
4
8
0
0
4
0
0
0
0
0
16
0
0
8
14
14
0
0
16
16
0
0
0
0
0
4
0
0
0
0
0
0
24
0
0
0
24
0
0
0
0
0
16
2
24
0
16
16
16
0
16
16
0
0
0
0
0
0
8
0
0
0
8
4
0
20
8
8
0
0
4
4
4
0
0
0
0
0
0
0
0
1
1
1
32
8
24
0
32
32
24
24
24
8
8
8
6
8
0
0
8
0
0
17
17
16
0
0
8
0
0
24
24
8
8
0
8
32
0
0
0
16
16
0
0
24
16
16
8
1
16
8
8
2
2
4
24
24
24
0
0
0
17
0
0
8
8
8
8
8
3
0
8
0
0
4
0
2
0
2
2
0
8
16
0
0
0
1
1
0
0
0
24
16
1
1
1
2
8
8
4
4
4
16
0
0
0
0
16
16
16
0
8
8
8
8
32
0
0
2
0
0
0
17
0
0
0
0
0
8
8
14
0
0
0
0
0
33
33
2
1
1
1
0
0
0
0
0
0
0
8
0
0
8
8
8
2
8
16
0
0
8
0
0
8
0
0
5
0
16
20
16
0
0
0
0
0
0
0
16
4
0
9
2
24
24
24
16
16
16
8
1
16
0
0
0
0
0
0
0
0
0
0
21
24
0
16
16
0
0
0
8
8
8
8
0
0
0
2
0
24
4
4
4
0
0
8
0
4
0
0
1
8
4
0
0
8
0
16
0
0
0
8
16
0
16
0
0
0
0
8
0
0
0
0
2
2
34
0
0
0
0
16
4
4
0
8
32
0
0
16
0
0
0
0
4
0
0
0
49
8
8
8
1
1
0
0
0
0
0
0
0
0
0
8
8
32
8
0
16
1
16
32
8
8
4
8
0
2
2
8
8
26
26
26
2
0
0
13
17
17
16
0
16
16
16
16
16
6
0
4
4
16
16
16
0
0
16
16
0
16
16
16
0
1
1
0
0
0
2
2
8
8
8
8
9
0
8
0
8
8
8
8
5
0
0
0
0
0
0
0
0
0
0
0
8
16
16
16
16
8
8
8
0
0
8
0
0
0
8
16
16
8
0
16
4
4
4
2
4
4
8
0
8
8
0
0
0
0
4
0
0
16
16
16
16
16
16
17
17
2
2
0
0
0
16
24
24
1
1
0
0
0
1
16
2
2
2
8
0
8
8
8
16
16
0
8
8
8
8
8
16
0
0
16
16
16
0
0
0
0
4
0
0
8
40
40
1
16
2
2
0
0
0
0
0
0
16
16
0
0
8
0
0
0
1
4
1
1
2
32
8
8
0
16
0
16
8
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
18
4
8
0
4
4
0
0
0
4
0
1
1
0
0
0
0
0
0
0
4
4
8
16
8
5
0
0
0
0
0
8
8
8
16
0
0
0
0
4
4
4
4
1
1
0
0
0
0
0
1
1
0
2
0
0
0
16
0
0
0
0
0
0
16
16
0
0
16
0
0
0
0
0
0
0
0
0
8
0
0
0
16
0
4
4
0
8
8
0
0
2
2
0
0
0
1
0
0
0
0
0
0
2
2
8
8
8
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
16
16
0
0
24
16
16
0
0
0
0
0
0
0
0
0
0
4
16
0
0
0
0
0
0
4
0
0
0
16
16
16
16
8
0
0
0
8
0
0
0
0
0
0
24
16
0
0
0
8
0
0
0
0
0
4
4
0
0
0
0
4
0
8
24
22
0
0
0
16
4
0
0
16
16
8
16
2
0
0
8
16
0
0
0
0
8
0
0
0
8
0
1
4
4
16
0
0
0
0
0
2
2
6
0
0
4
0
0
0
0
16
32
8
0
0
16
0
8
0
0
16
3
2
0
20
32
0
21
0
6
0
0
0
0
0
8
0
0
32
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
0
4
8
1
8
1
0
0
0
8
0
0
0
2
0
0
25
24
1
16
16
0
0
0
0
0
8
0
12
0
0
0
32
32
0
0
0
16
16
16
16
16
0
8
16
0
0
16
0
0
0
48
0
0
8
8
6
0
1
0
0
8
0
8
0
0
1
1
1
1
0
0
0
32
8
0
0
0
0
0
8
0
0
0
0
8
4
16
16
0
0
0
0
33
2
8
0
41
0
0
4
4
8
0
1
0
0
16
18
0
0
0
8
32
0
0
0
0
0
0
2
2
0
16
16
2
0
0
8
0
16
16
16
4
0
0
0
8
0
0
0
9
0
0
0
0
0
0
4
4
8
1
4
0
16
0
8
8
8
2
2
0
24
24
24
24
0
0
0
1
0
4
16
0
0
0
0
0
0
0
0
4
4
4
4
4
4
4
4
8
4
12
0
0
24
24
0
0
0
4
0
0
0
25
8
8
8
14
16
16
0
0
0
0
0
8
8
0
8
0
0
0
18
8
0
0
0
0
0
0
0
16
16
4
4
16
0
0
0
32
32
32
32
8
24
24
0
0
0
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
24
24
24
24
24
0
0
0
0
0
8
0
0
0
1
1
1
0
0
25
0
2
2
8
8
8
17
17
32
16
0
0
0
0
0
0
0
4
2
2
2
2
2
0
4
8
8
8
1
8
0
0
0
8
8
0
3
2
0
0
1
58
0
16
16
0
0
24
24
0
2
8
2
8
0
0
16
48
0
0
8
8
0
40
0
0
0
0
0
8
8
20
0
1
8
4
4
4
0
0
0
4
1
0
0
0
0
0
0
0
0
0
0
20
0
16
4
0
17
17
0
0
0
0
0
0
0
0
8
8
8
8
0
0
0
0
0
0
0
16
0
0
8
8
0
0
0
0
0
4
8
8
0
0
0
0
0
0
20
8
0
0
0
0
0
8
8
0
0
0
0
0
2
2
2
0
0
0
0
1
1
4
8
8
8
8
8
16
0
0
0
17
17
1
1
1
1
1
1
0
0
8
8
8
8
2
2
16
8
8
0
0
0
16
2
4
0
0
0
4
4
14
22
22
0
8
8
32
32
0
0
8
0
1
0
0
0
9
9
18
18
32
32
32
8
0
0
16
0
8
0
0
0
2
0
18
18
8
8
8
16
8
16
16
20
20
0
8
0
0
2
10
0
0
8
20
8
8
0
0
0
0
0
0
0
0
0
0
16
0
0
0
16
16
0
0
1
1
1
1
28
4
0
0
18
16
16
0
0
0
0
0
0
0
0
1
8
8
0
0
26
8
0
0
0
0
4
0
8
8
8
8
16
0
2
2
0
8
8
8
10
0
0
8
8
8
0
0
16
0
0
0
8
8
8
16
0
0
8
0
1
8
16
16
8
16
0
0
0
0
32
8
0
4
0
0
0
16
0
4
4
0
2
0
16
16
4
4
0
0
0
16
8
16
16
16
4
2
2
0
0
0
0
0
2
0
8
2
8
8
4
4
0
8
8
8
8
16
0
8
8
8
8
4
8
0
16
0
0
1
16
16
0
8
8
0
0
4
4
4
4
22
22
0
8
0
0
0
0
0
0
0
0
0
16
0
0
8
0
0
0
16
8
0
0
0
0
0
8
0
4
2
40
40
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
16
0
0
8
8
0
0
0
1
1
8
8
8
0
0
0
0
0
0
16
16
0
0
16
8
8
0
8
16
5
0
0
0
10
10
10
20
0
16
0
0
36
36
36
0
0
0
0
8
8
0
4
0
0
0
0
0
0
8
0
0
4
0
0
0
0
8
8
2
1
1
4
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
8
1
0
0
0
0
8
4
4
16
8
20
8
8
0
18
0
0
0
8
0
0
0
0
0
0
16
8
8
17
16
16
0
0
4
4
0
0
0
0
0
16
16
16
0
0
0
16
4
8
8
0
10
0
0
8
0
0
0
0
1
0
8
8
8
24
0
0
0
0
34
8
0
0
16
0
16
0
29
29
29
29
29
0
0
8
26
11
0
12
0
0
4
4
16
0
0
0
1
8
0
0
0
2
0
16
8
4
4
4
0
4
0
0
0
4
0
8
8
16
2
0
0
0
0
4
16
0
0
0
8
10
28
0
0
16
4
8
8
0
0
0
0
0
16
16
0
0
0
8
8
0
0
2
8
0
0
0
0
8
8
20
0
0
0
2
0
0
4
0
0
0
0
0
0
0
8
16
0
4
4
4
4
4
0
8
8
8
8
8
8
8
4
0
0
20
16
0
2
0
0
0
0
0
0
0
16
0
4
8
8
16
2
16
16
8
8
8
0
16
0
0
0
0
0
0
0
8
0
32
0
0
0
0
16
0
0
0
0
0
0
16
16
0
0
0
8
32
16
16
0
0
0
24
4
0
0
0
0
0
0
0
8
0
0
0
24
24
0
0
14
0
0
8
24
4
4
2
0
0
0
0
0
16
16
8
9
32
8
0
2
0
0
0
0
0
0
0
8
0
0
0
24
24
24
17
17
0
0
24
1
0
0
2
2
4
0
0
16
0
0
0
0
5
0
16
8
0
0
0
0
4
0
0
0
0
16
16
4
4
0
4
4
4
0
0
0
8
0
0
8
8
0
0
4
8
8
8
8
0
8
8
0
8
8
0
0
0
0
0
0
0
0
32
0
4
0
0
16
16
16
8
8
16
6
4
4
0
8
0
0
0
0
0
0
4
0
0
0
0
0
0
28
0
0
8
2
4
8
0
0
0
0
0
0
0
0
2
8
4
8
0
4
4
4
0
0
0
0
12
8
0
0
16
16
0
0
0
0
0
4
16
16
16
0
0
0
4
4
40
40
40
40
0
0
0
16
2
0
8
8
0
0
20
0
0
0
16
16
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
4
2
2
16
0
0
8
8
0
0
0
0
8
0
8
0
0
8
0
8
32
32
32
32
0
0
0
0
0
16
0
4
0
16
8
0
0
0
0
0
24
24
8
0
0
0
24
0
0
8
17
0
16
4
0
0
2
0
0
24
0
0
0
0
0
16
2
2
0
0
1
16
8
8
8
8
0
8
8
4
4
0
0
0
0
0
16
0
8
0
0
0
0
0
16
1
1
1
16
0
0
0
0
1
0
0
0
0
0
0
0
0
26
0
16
0
0
0
16
32
0
0
0
0
0
0
0
8
16
8
8
4
4
0
0
1
0
8
8
8
8
0
0
0
24
2
0
4
0
0
0
0
0
8
8
8
2
0
0
0
0
32
2
4
4
1
8
16
16
8
0
8
0
28
0
0
0
1
0
0
0
0
0
0
6
0
8
8
0
0
1
0
1
4
0
8
24
24
0
8
24
0
0
8
8
0
0
0
0
16
0
0
0
4
0
4
1
8
8
8
2
2
0
8
8
0
12
34
16
16
1
1
1
1
1
1
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
16
16
0
1
0
0
0
16
36
4
0
0
0
0
1
0
0
4
0
0
0
0
8
8
4
0
8
16
16
8
24
8
8
8
0
16
0
0
0
0
0
16
0
0
8
0
0
0
8
8
8
8
0
0
0
8
8
8
0
8
16
0
0
0
0
16
0
0
8
16
16
0
8
0
0
0
27
0
0
0
0
8
0
16
32
8
8
8
0
8
1
0
0
16
8
20
12
0
16
0
0
20
8
8
0
36
16
1
0
0
0
0
0
16
16
16
0
0
0
0
0
2
1
0
0
17
8
16
16
16
8
8
8
8
8
8
0
16
8
0
16
0
0
0
0
0
0
0
0
0
25
25
25
0
0
0
16
16
0
16
16
0
0
32
10
0
0
0
0
16
0
0
0
9
0
1
1
4
4
4
0
0
0
17
5
0
1
1
4
0
0
0
0
0
0
2
2
0
4
4
0
0
4
24
16
0
8
0
0
8
2
2
0
0
0
8
16
16
0
0
0
0
24
40
16
0
0
8
1
1
1
1
8
0
0
0
0
0
0
0
0
16
4
8
0
0
0
0
0
0
16
0
0
0
10
4
8
0
0
4
4
16
0
0
0
0
0
0
0
0
0
16
16
8
0
16
16
0
0
0
0
8
0
0
0
0
16
16
16
0
0
8
8
8
0
32
0
8
0
0
0
0
8
0
0
0
0
0
0
8
8
0
0
0
0
1
0
16
2
0
0
0
0
0
10
0
0
0
16
0
0
4
2
8
2
2
0
0
0
16
16
16
16
28
16
0
0
0
0
0
0
0
16
8
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
2
2
16
8
8
8
0
0
4
16
0
0
16
8
8
8
8
4
32
8
8
0
0
0
8
8
0
0
1
0
0
16
0
0
0
0
20
0
0
4
4
4
6
6
0
0
0
8
0
0
16
16
8
16
0
17
16
0
0
0
4
60
16
16
16
0
0
0
0
0
0
2
16
16
16
0
0
18
0
0
16
0
1
24
24
24
10
0
0
0
32
0
0
4
0
0
0
0
0
0
0
8
40
16
8
2
2
0
0
0
0
0
0
4
8
8
0
0
0
0
16
0
0
16
0
16
0
0
3
0
0
0
8
8
20
0
0
0
0
0
4
8
8
0
32
0
0
16
8
8
8
8
0
1
1
0
16
16
16
16
16
16
16
32
4
4
0
8
6
3
0
0
0
0
0
16
16
16
16
0
0
0
0
2
2
0
0
0
0
16
0
0
0
0
12
8
8
9
24
24
0
0
0
9
9
0
0
0
0
16
0
0
0
0
0
0
0
0
0
8
0
0
0
24
0
1
24
24
0
32
0
1
0
0
8
32
32
0
26
16
0
16
16
0
17
1
8
0
0
2
0
0
0
0
4
20
24
0
24
24
8
0
0
0
2
0
0
0
8
5
8
0
0
8
8
0
0
0
0
0
1
0
8
8
0
0
0
9
9
16
0
0
8
0
0
16
16
0
0
0
2
0
0
8
18
18
50
2
2
2
0
32
0
0
0
0
0
28
0
0
0
0
0
0
8
0
1
1
1
1
1
0
8
0
0
8
2
1
18
27
24
10
0
4
0
0
0
0
16
16
0
16
8
0
16
0
0
0
8
8
8
8
0
16
0
8
8
8
0
0
0
0
0
8
8
8
0
0
2
0
0
0
16
16
16
16
16
16
0
8
0
0
33
4
12
12
0
16
4
0
8
8
8
0
0
16
16
8
16
16
16
16
0
0
4
4
2
0
10
10
10
10
10
10
40
0
0
0
0
8
8
4
4
4
4
4
0
48
48
2
0
0
1
6
6
0
0
1
0
0
0
0
16
2
0
0
0
0
8
0
0
0
0
0
0
0
0
0
4
0
16
4
0
16
0
16
16
0
0
0
0
0
16
0
8
0
0
0
8
0
16
4
8
8
0
0
0
16
16
0
0
0
4
4
0
8
8
16
8
1
1
8
0
0
16
0
0
0
0
0
1
1
1
25
16
16
17
0
16
16
32
6
6
6
6
0
0
0
8
40
0
8
0
0
0
0
0
10
10
8
0
0
0
0
28
0
0
8
8
2
2
4
0
8
8
8
0
0
0
0
0
0
0
0
0
0
12
16
0
2
2
8
1
1
1
1
1
1
1
0
0
0
32
0
18
0
8
2
1
16
8
0
0
32
0
10
16
16
16
16
4
0
16
4
0
1
1
1
1
1
1
1
1
0
0
8
0
0
0
0
0
0
0
0
0
0
16
16
0
8
2
9
16
2
2
0
0
8
16
16
16
0
0
8
0
0
0
0
0
16
0
0
0
0
0
1
1
42
42
42
42
1
16
18
0
8
8
8
0
0
8
8
0
0
0
8
0
12
12
8
8
8
16
1
0
0
0
4
0
0
17
0
0
0
0
16
0
0
8
8
8
8
0
0
8
16
0
8
0
8
4
4
8
0
8
0
0
0
0
24
16
8
8
8
0
0
0
2
2
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
24
2
0
0
8
8
8
0
0
24
24
1
2
0
0
0
0
0
0
0
0
0
0
8
16
8
16
0
0
16
0
17
0
0
4
4
4
4
17
17
40
1
1
1
0
0
0
0
24
0
0
0
8
8
8
4
16
0
0
4
8
0
8
0
0
0
16
24
0
0
16
16
17
0
0
16
0
0
0
0
0
16
0
0
4
0
0
8
0
24
24
24
24
24
24
8
4
0
8
8
0
38
0
1
1
0
0
0
32
0
0
0
0
8
0
0
0
0
0
16
0
0
18
18
0
0
8
8
0
8
8
8
16
8
8
0
0
16
0
1
0
0
16
16
16
16
0
16
0
0
2
2
0
0
16
16
1
0
0
8
0
16
0
0
8
8
8
32
0
8
0
0
0
0
0
16
0
0
0
0
8
8
8
0
1
1
8
8
0
8
24
0
8
48
4
0
0
16
0
4
4
17
17
17
17
0
0
25
25
25
25
10
0
32
1
17
17
4
8
8
8
0
0
0
0
0
0
0
12
12
0
0
0
16
0
0
2
0
0
4
16
0
0
0
0
4
0
0
8
2
0
12
0
0
0
0
0
16
0
0
8
8
0
16
16
0
0
0
24
24
9
3
3
0
0
0
8
28
28
28
28
16
8
0
0
0
0
0
32
32
0
0
16
0
0
0
0
48
48
48
48
48
8
2
16
0
0
8
8
4
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
16
0
16
9
9
0
0
30
0
0
0
8
0
0
8
0
16
0
0
8
0
5
0
16
6
0
8
8
8
16
8
8
0
1
1
8
0
0
0
0
0
0
0
16
32
8
0
0
0
0
0
8
0
0
16
0
0
4
0
0
0
8
8
8
16
0
0
16
16
8
1
1
12
0
0
1
0
16
0
0
0
0
0
0
2
16
0
2
16
16
16
0
16
2
0
0
0
32
0
0
0
0
0
16
24
6
0
8
0
0
8
0
0
20
4
0
0
0
1
8
0
0
0
4
1
8
8
8
1
1
16
16
16
8
10
0
16
0
0
4
0
0
0
0
8
24
24
24
24
8
0
4
4
4
0
0
0
1
1
8
0
0
0
1
1
1
1
1
1
1
1
1
1
0
0
0
8
0
8
0
0
0
0
16
16
16
1
1
16
16
16
0
0
0
0
16
16
16
16
1
1
0
0
8
16
0
0
0
0
0
0
0
0
8
0
0
12
16
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
8
0
8
0
0
2
0
0
16
16
0
0
0
20
16
0
16
0
0
12
8
0
16
8
0
0
0
16
0
0
0
0
8
8
16
0
16
0
8
16
16
16
0
0
16
0
0
0
0
16
16
4
4
0
0
4
0
0
0
0
0
0
0
0
1
0
0
8
8
8
0
0
0
16
16
16
16
16
8
8
8
8
8
8
0
9
0
8
8
0
0
0
0
16
1
16
0
1
0
0
0
0
0
16
16
0
0
4
4
16
16
0
0
0
8
0
0
0
0
16
16
16
16
0
28
4
0
16
24
3
0
0
0
0
0
16
16
16
0
8
8
0
0
0
0
4
0
10
10
0
0
0
8
8
16
2
0
16
16
16
8
8
0
0
0
1
16
16
4
16
24
0
24
24
24
0
0
0
2
18
18
0
0
0
8
0
16
16
16
0
1
1
32
8
16
16
4
32
32
0
20
0
26
26
16
8
8
8
8
8
8
8
1
0
0
0
0
24
24
0
0
0
0
16
16
0
0
2
1
0
0
0
16
8
0
16
16
0
4
0
0
0
0
0
18
18
18
0
0
16
0
0
8
0
0
0
16
33
33
4
24
0
0
0
8
0
8
6
6
0
2
0
0
0
40
16
0
0
8
8
0
0
20
20
0
0
16
0
0
0
0
0
18
18
0
8
4
16
8
4
4
0
0
32
32
8
0
0
0
16
0
0
8
2
8
8
1
0
0
0
0
0
0
8
16
0
0
0
0
8
8
8
0
16
16
16
8
1
0
16
0
6
8
0
1
1
16
0
0
16
16
0
16
0
4
4
16
1
0
0
0
0
0
0
0
0
8
16
0
10
0
0
0
4
4
0
0
0
0
0
0
0
3
0
0
8
0
0
0
0
0
0
0
16
0
8
8
0
0
0
32
4
0
0
1
32
32
32
32
25
4
4
4
4
4
0
16
16
16
0
0
0
0
10
16
16
16
0
0
16
0
4
8
8
19
8
8
0
20
20
16
12
12
0
8
8
0
0
0
16
16
4
0
8
8
8
0
8
16
0
0
0
1
1
8
8
16
0
8
32
0
8
8
0
10
2
2
17
17
8
8
0
0
0
0
0
0
0
3
0
0
16
16
16
0
8
16
0
0
0
0
0
3
3
0
0
0
8
8
8
8
8
8
8
0
8
0
0
2
0
0
8
8
0
0
0
0
16
16
8
8
0
1
4
4
4
4
20
0
0
8
8
8
0
0
0
0
23
16
1
24
0
4
1
8
1
1
16
16
8
16
0
0
0
0
0
0
0
4
0
0
0
0
0
1
0
34
2
2
0
0
8
0
0
0
0
0
0
0
0
16
16
8
0
2
0
0
0
16
0
0
0
8
0
8
8
16
0
8
0
0
0
0
4
16
16
2
32
16
16
0
0
4
0
16
32
4
0
0
4
8
8
12
0
0
2
2
0
0
0
0
0
0
0
16
0
0
8
0
4
4
0
8
8
0
16
0
16
0
2
2
2
0
0
20
20
20
4
0
0
0
32
0
0
0
8
16
16
32
8
8
8
1
0
16
0
0
0
0
0
8
1
0
2
8
16
0
0
4
16
16
0
0
0
0
0
1
8
16
0
0
0
0
1
0
0
26
32
8
8
4
4
24
0
12
12
16
16
4
0
0
24
0
8
0
8
2
8
8
40
16
16
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
1
0
0
16
16
0
0
0
0
0
8
8
0
0
32
0
9
8
32
32
32
32
0
0
36
36
8
0
0
0
16
16
0
0
24
8
0
16
0
8
0
1
1
0
0
0
2
2
48
0
0
8
0
16
0
0
0
0
16
16
0
2
2
0
0
0
8
8
8
8
8
8
0
0
0
0
0
0
0
0
0
8
4
0
4
2
2
2
2
6
0
0
16
16
4
4
0
15
2
0
8
8
0
0
0
0
8
16
16
16
0
4
2
0
0
0
32
8
16
0
0
0
0
16
16
16
16
8
0
0
8
8
8
8
16
16
16
0
4
8
4
0
0
0
0
8
0
8
0
0
4
0
0
0
0
20
4
0
0
0
1
0
32
0
10
0
0
0
16
8
8
1
8
8
0
0
0
1
8
8
0
0
0
16
0
8
24
24
4
16
0
21
21
18
18
1
1
8
8
8
0
0
2
2
28
16
0
0
0
0
0
8
8
8
8
0
0
8
8
0
0
0
0
0
4
0
4
17
17
2
0
0
8
0
0
25
25
4
0
0
0
0
0
0
4
2
2
0
0
0
0
0
0
0
4
8
8
0
0
0
0
8
0
0
16
8
0
0
0
16
8
8
0
0
0
8
16
16
0
0
0
0
0
0
0
0
6
4
0
0
16
13
0
8
0
1
1
1
4
4
4
16
0
0
4
4
0
0
0
0
0
0
0
0
0
0
0
0
8
8
9
0
8
8
0
0
0
0
0
0
32
8
0
0
0
0
0
0
0
4
16
16
0
0
1
0
0
0
0
4
0
0
0
0
0
8
16
0
0
2
16
0
8
8
8
18
1
0
0
24
1
8
1
1
0
8
8
12
0
8
0
0
0
0
0
32
0
0
0
16
0
0
0
0
0
0
0
4
0
0
16
0
16
0
0
0
5
0
0
0
0
4
4
32
0
33
0
0
1
1
16
16
8
0
0
0
16
0
0
0
2
2
17
8
0
0
0
8
0
0
0
0
8
8
8
8
8
8
8
0
0
0
0
8
8
0
24
8
16
0
0
0
0
0
1
0
8
1
2
8
0
0
0
0
4
4
8
8
16
16
16
0
2
2
1
1
1
1
1
1
1
1
1
0
0
0
0
16
0
0
0
8
8
20
0
18
18
32
16
0
4
8
30
0
0
0
0
0
0
16
16
0
1
48
0
21
0
0
0
0
0
0
16
16
0
0
8
8
8
1
1
16
16
16
16
16
16
16
16
0
0
0
16
0
48
48
48
0
33
16
8
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
2
0
8
0
16
0
0
0
16
0
0
0
0
0
0
0
10
2
1
16
8
8
12
8
8
0
8
0
0
0
0
5
5
4
0
0
0
0
1
1
0
24
24
0
0
0
0
0
0
0
48
48
48
8
0
0
2
0
0
0
0
0
16
0
0
0
0
8
0
0
0
8
4
4
4
4
4
1
0
0
0
4
0
0
52
16
0
20
0
0
0
0
12
0
18
4
0
8
0
16
16
16
0
0
8
8
8
0
0
0
0
0
16
0
23
23
0
16
16
4
0
8
0
0
8
8
8
8
0
0
0
0
8
0
0
1
0
0
0
16
24
0
0
0
0
0
0
0
1
8
34
34
8
8
0
0
0
0
0
8
18
0
2
2
2
24
24
24
24
0
0
1
0
0
0
0
8
8
0
8
16
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
8
8
0
0
0
16
16
2
16
16
4
4
0
0
4
4
16
16
0
8
8
0
0
8
16
16
16
16
0
0
0
0
0
0
20
20
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
1
1
0
0
0
0
18
18
2
2
2
2
2
16
0
0
1
1
0
0
0
0
4
16
0
16
32
8
8
0
0
16
0
0
16
0
52
16
8
16
0
1
0
0
0
8
8
8
8
0
0
0
16
0
0
16
0
0
0
0
0
0
4
0
0
0
8
0
8
0
0
8
16
0
8
25
25
25
25
25
25
25
25
25
16
0
0
8
4
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
20
16
0
0
0
0
0
0
16
16
0
18
0
0
24
24
24
16
0
8
0
2
8
8
2
8
10
10
0
16
16
16
16
0
2
0
4
1
1
0
4
8
2
17
32
0
0
8
8
0
0
0
8
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
16
16
16
16
16
16
0
0
0
0
0
8
8
8
0
0
16
45
8
8
8
8
8
8
16
16
0
0
0
0
0
18
8
8
8
0
2
0
8
0
16
16
16
0
0
0
0
0
0
8
0
0
8
0
4
16
0
24
24
8
0
0
8
8
0
0
0
0
1
0
0
1
0
0
0
8
1
0
0
0
0
0
0
0
8
6
0
8
0
16
0
0
0
1
0
8
0
0
8
8
8
16
0
6
6
4
21
21
0
0
0
0
0
0
25
25
25
0
0
0
0
16
16
0
12
8
0
0
8
8
0
0
0
0
16
0
8
0
0
0
0
8
8
4
4
0
0
16
0
8
8
0
8
8
8
0
8
0
2
2
1
0
0
2
22
0
0
0
0
8
16
8
8
8
4
0
1
1
1
0
0
0
16
0
16
8
8
16
16
16
0
8
8
1
0
0
0
1
1
8
8
0
8
8
0
0
0
0
0
0
0
48
8
8
8
8
1
0
0
0
8
8
0
0
0
0
16
0
0
1
1
0
0
16
0
0
0
8
0
0
0
0
8
8
8
0
0
0
0
2
1
16
24
0
16
16
8
0
9
9
9
9
18
4
0
8
0
0
0
20
0
8
0
8
2
2
0
0
24
24
0
0
8
8
8
16
0
8
0
0
0
16
8
8
8
8
8
8
8
0
0
0
8
0
0
0
0
2
1
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
16
8
60
8
0
2
0
0
16
0
0
8
0
2
0
0
0
0
16
0
0
0
0
0
0
0
0
8
8
17
0
1
0
3
0
8
4
4
4
4
0
8
8
17
0
17
0
16
16
0
8
0
16
16
0
8
8
8
4
8
4
0
0
0
0
0
0
0
0
0
8
0
8
8
0
0
0
0
0
16
0
8
0
24
8
8
24
8
0
0
17
0
8
0
2
0
16
16
0
0
0
1
1
1
1
1
0
8
0
0
0
12
0
2
0
0
16
16
0
0
0
16
0
0
0
0
2
0
0
0
0
0
16
0
0
8
0
0
16
0
0
8
0
0
2
0
22
8
8
8
0
0
0
0
16
8
8
8
0
8
4
4
4
8
0
20
0
0
0
1
0
1
1
1
0
0
16
0
0
28
0
8
0
0
0
0
0
0
0
1
13
0
0
0
1
1
16
0
0
0
32
8
8
0
0
0
0
2
16
4
0
0
8
30
0
8
8
0
0
0
0
0
8
0
0
0
1
8
0
0
0
0
0
12
0
0
0
0
0
0
0
0
8
0
0
1
1
0
16
16
0
18
16
0
0
0
8
16
0
0
8
0
0
0
0
1
0
0
16
8
8
4
4
0
20
8
0
0
0
0
0
8
0
8
16
0
8
0
0
16
0
0
16
8
8
0
0
0
0
0
0
0
0
4
4
4
4
32
0
16
16
0
8
8
0
0
0
0
8
0
1
0
0
0
16
16
4
16
8
0
0
0
0
0
0
0
0
8
8
9
0
0
16
12
8
8
8
8
0
25
25
1
6
0
0
0
0
2
0
1
1
4
0
0
0
0
0
8
16
0
8
0
0
16
0
8
0
2
2
2
0
17
17
8
8
8
8
8
0
2
2
0
16
0
8
0
2
0
6
0
2
16
32
1
1
1
2
2
0
0
8
0
0
16
0
8
4
2
16
0
0
0
0
0
1
0
0
0
0
0
16
0
0
8
8
24
0
0
2
2
0
0
8
0
16
0
0
8
0
27
27
0
0
0
0
0
1
0
0
0
0
8
8
8
8
8
8
0
0
0
2
8
8
8
4
4
16
2
4
0
0
0
0
0
2
0
0
0
0
8
8
8
8
16
2
16
0
0
0
8
0
8
8
0
0
0
0
0
0
8
8
0
8
0
0
16
0
8
8
0
0
0
8
8
4
0
0
16
0
2
16
0
0
0
0
4
32
0
0
1
0
0
0
20
20
20
8
25
25
25
0
0
0
0
0
16
0
8
16
2
4
4
0
8
0
0
0
8
0
16
24
24
0
8
16
0
8
8
0
0
20
20
0
0
0
6
16
16
16
8
0
4
4
0
0
0
0
17
17
8
16
0
8
0
0
1
0
0
0
8
8
0
12
12
22
22
1
1
16
12
0
0
0
34
34
1
16
0
0
0
16
16
0
0
16
8
0
16
16
16
32
0
0
1
0
0
16
16
0
16
4
29
20
24
24
0
0
0
1
0
0
8
0
16
16
0
16
0
8
8
8
13
0
0
8
0
0
0
8
0
0
33
0
0
0
0
0
0
0
0
0
8
0
0
8
0
16
16
1
16
16
0
8
8
0
0
0
0
0
0
4
4
0
16
16
0
0
0
0
0
16
16
16
0
0
0
0
0
0
0
8
8
8
8
0
8
16
16
16
0
0
16
16
16
16
0
57
57
0
0
24
0
0
8
0
0
8
16
0
0
0
0
0
0
25
25
25
32
2
8
8
0
3
8
0
4
0
0
0
4
4
0
16
16
16
0
0
0
0
0
0
16
16
16
32
0
16
0
4
16
0
0
0
0
0
0
0
16
0
0
2
0
0
0
0
16
16
8
0
16
4
4
4
8
0
0
0
0
23
17
17
0
4
16
16
0
16
0
0
0
8
0
0
0
0
0
20
0
24
0
16
0
0
0
41
0
26
16
2
0
0
0
16
0
0
0
0
0
0
0
8
8
16
16
16
16
16
16
4
4
4
4
25
8
8
8
0
0
0
0
24
24
24
24
24
24
0
0
0
0
0
0
0
0
2
21
2
0
1
3
0
8
8
1
0
8
0
0
8
8
8
0
0
0
0
0
0
0
0
16
16
8
4
4
4
2
2
0
48
2
0
0
0
8
2
0
8
8
0
16
16
0
0
2
2
2
0
0
0
0
8
8
8
0
0
0
0
2
2
16
48
8
8
8
8
8
8
8
8
8
8
0
0
0
40
40
0
8
8
4
0
16
0
0
0
0
0
0
8
4
32
0
0
0
0
12
0
0
0
32
32
32
0
16
1
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
1
0
24
2
0
0
0
2
2
8
8
0
0
0
0
4
4
8
8
0
8
16
16
16
32
32
32
24
8
16
8
0
0
0
0
16
16
0
2
2
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
0
0
16
0
24
0
16
4
0
0
0
0
4
4
60
0
0
5
16
1
0
0
0
0
0
0
0
8
16
16
0
0
0
0
0
0
0
56
0
0
4
0
2
26
0
16
0
0
0
0
1
1
0
0
0
4
0
8
0
8
7
16
16
16
0
0
0
0
8
0
1
0
0
8
0
16
16
16
4
8
0
0
0
16
4
0
0
0
16
16
4
8
8
24
24
0
0
8
0
0
2
2
2
16
8
8
16
16
0
0
0
0
0
32
0
0
8
4
16
8
0
0
0
0
0
0
24
0
16
16
1
0
0
4
0
0
0
0
0
16
0
8
8
8
48
48
0
2
2
8
12
0
0
6
4
0
0
0
0
8
0
8
8
8
18
0
4
4
0
0
0
32
32
0
24
24
1
0
0
0
0
0
8
8
18
18
4
0
23
8
8
10
10
10
0
8
0
32
16
0
0
8
8
8
8
40
40
40
0
0
0
16
0
0
0
2
2
0
0
0
0
0
8
8
8
0
0
0
0
0
16
16
0
16
1
0
16
16
16
0
0
0
16
2
0
0
0
4
0
0
4
8
0
4
0
2
0
0
0
4
0
4
0
16
2
2
2
20
20
20
20
16
1
8
2
0
0
0
4
1
1
8
8
8
8
8
16
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
2
8
0
16
16
16
16
0
0
0
0
4
16
16
8
8
2
2
4
0
0
0
0
0
0
0
1
1
1
16
0
0
0
8
0
8
8
0
8
0
8
16
16
0
48
16
0
8
0
6
4
0
0
8
8
0
0
0
24
24
9
8
0
24
24
0
0
1
1
0
0
0
8
8
16
20
0
0
0
0
4
4
8
4
0
0
0
0
0
0
0
0
0
20
0
24
24
0
10
2
2
2
2
0
16
16
4
4
16
0
0
0
0
0
4
4
0
16
16
1
0
0
3
8
8
16
8
8
2
2
2
0
0
0
0
20
4
0
1
1
1
0
0
4
0
0
0
0
0
0
0
0
0
0
0
4
0
20
4
0
0
31
31
1
1
1
1
1
1
8
0
0
0
0
0
0
8
8
4
1
1
0
0
0
0
0
0
0
8
8
8
0
0
32
32
0
0
0
0
0
8
8
0
8
8
8
0
0
0
8
4
2
0
4
16
1
1
1
8
0
0
0
8
0
9
0
0
0
8
0
8
8
0
0
2
19
0
0
0
0
0
0
19
19
19
0
0
0
0
8
1
8
0
0
0
0
1
4
4
4
8
8
0
16
0
0
0
19
19
0
0
0
0
8
6
8
8
0
0
0
0
8
4
16
16
16
0
0
32
32
0
0
0
8
16
1
8
8
8
1
0
0
0
0
4
0
0
0
0
8
0
0
0
1
0
0
8
8
8
8
0
8
8
16
16
16
0
8
0
0
16
24
24
8
8
0
0
0
8
8
8
26
0
0
2
8
8
8
0
0
0
0
0
0
0
0
8
16
24
8
0
8
0
0
0
0
0
0
0
0
1
1
8
2
0
0
9
8
8
8
0
8
16
0
0
16
16
16
0
0
16
0
8
0
0
0
0
0
0
8
0
0
0
0
0
0
0
34
34
34
0
1
0
1
8
24
24
0
0
0
0
0
8
8
8
4
4
4
1
8
0
16
16
16
0
8
8
0
16
16
0
0
0
4
0
4
0
8
0
16
1
24
0
0
0
0
0
0
8
0
0
0
8
0
0
0
8
0
8
8
8
8
8
8
2
0
8
0
2
28
28
8
8
0
0
0
0
16
16
16
16
8
0
0
0
0
0
8
8
2
0
0
17
17
0
0
24
0
0
0
0
0
16
16
16
0
0
8
0
8
8
0
0
0
0
48
0
16
0
16
16
16
16
0
0
4
8
2
0
0
0
0
0
0
8
0
0
8
8
4
0
0
8
8
0
8
0
0
0
8
0
4
0
32
32
16
0
0
0
0
0
4
8
1
0
8
32
32
32
32
0
0
0
0
0
16
0
0
6
6
6
16
16
16
0
1
16
32
32
32
0
0
0
0
0
34
8
0
0
0
0
0
0
0
16
8
2
0
0
8
0
8
8
8
8
8
0
0
0
1
0
0
0
1
16
17
0
0
0
8
8
9
9
8
8
0
0
0
8
8
8
4
16
24
0
8
1
1
4
4
4
0
0
0
0
0
0
24
0
8
16
0
24
24
24
0
0
0
0
20
0
8
1
1
17
0
8
0
8
4
0
0
17
25
25
0
0
0
0
24
24
0
0
0
0
0
0
8
2
0
0
0
0
16
4
0
8
8
8
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
16
16
4
0
0
0
0
8
16
1
0
1
0
0
0
0
8
8
8
8
1
1
0
20
0
8
50
0
0
0
4
0
0
0
0
0
0
0
0
16
16
0
8
0
0
0
0
1
9
9
8
8
0
0
0
8
32
0
0
0
0
8
8
8
0
8
0
1
8
16
8
8
20
20
20
8
0
2
16
0
4
0
0
0
0
0
0
16
1
1
0
8
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
8
32
0
8
4
0
4
4
8
16
16
0
0
0
10
8
8
8
8
8
8
1
1
1
16
16
24
4
8
8
8
17
8
0
0
8
33
24
0
0
0
8
8
8
8
0
0
0
1
0
16
40
0
0
6
6
16
0
16
16
16
0
2
16
16
0
0
0
0
0
0
0
16
0
0
0
8
8
0
0
16
8
8
8
8
0
0
8
16
16
8
28
0
0
0
0
0
0
0
0
16
0
0
0
0
8
8
16
0
0
0
0
0
16
8
24
0
0
0
16
16
16
16
0
0
0
33
1
1
1
0
24
2
2
0
0
0
2
1
4
4
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
16
4
0
0
8
40
0
0
0
0
13
0
8
0
8
1
1
1
0
2
8
0
0
0
0
0
0
1
8
0
0
0
0
8
20
0
8
4
4
4
4
39
39
1
8
0
0
16
32
0
0
8
0
0
0
0
16
0
0
8
16
16
16
0
0
0
12
0
16
0
0
24
24
0
16
16
16
0
0
0
0
16
21
21
1
0
16
16
0
0
0
0
0
0
0
16
4
0
0
16
4
16
16
20
20
20
13
12
12
0
2
2
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
32
24
16
28
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
32
32
0
0
0
0
8
8
8
8
0
0
0
0
1
1
4
4
0
16
24
0
4
0
0
0
8
0
32
27
0
28
0
8
2
4
0
8
0
0
0
0
1
1
1
0
16
8
16
16
0
8
32
4
0
0
0
0
0
0
0
0
0
8
41
8
0
0
1
18
0
1
0
0
0
0
0
0
16
16
0
0
0
0
8
4
0
0
1
0
0
0
0
0
0
0
18
16
16
0
0
32
23
24
24
0
0
16
0
0
0
10
10
32
0
0
0
0
0
0
8
0
1
8
0
0
16
8
8
3
0
0
0
0
26
8
24
8
8
0
0
0
24
24
24
24
24
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
20
20
8
0
16
16
0
0
4
0
0
8
0
0
0
32
32
32
32
32
0
4
8
4
4
4
0
0
8
0
1
0
16
0
8
8
0
16
1
8
1
2
2
2
0
16
0
0
0
1
16
16
16
0
0
8
0
1
1
1
2
0
0
0
0
0
12
0
8
24
24
0
0
0
4
4
4
0
0
16
24
8
0
0
0
0
24
24
24
0
32
0
0
8
0
0
4
16
16
0
0
0
0
16
16
0
16
16
16
8
2
0
8
0
0
8
0
24
24
8
0
8
0
6
6
6
2
2
0
0
0
0
1
0
0
16
0
0
0
8
8
0
8
1
0
8
0
0
0
0
16
0
4
4
4
1
8
0
8
8
8
16
0
0
0
0
0
1
0
0
8
8
8
0
0
8
0
0
0
0
0
0
32
16
0
0
0
0
16
0
0
8
8
32
0
0
8
16
0
0
24
24
8
4
0
20
20
20
0
1
16
16
0
0
0
16
16
1
0
0
0
0
0
16
0
0
0
0
0
8
0
4
0
8
0
0
0
0
8
0
0
0
0
4
0
0
2
0
8
8
8
8
8
0
0
0
8
12
12
12
12
16
16
0
0
0
0
8
8
0
0
16
8
8
8
8
8
0
0
24
0
0
8
5
32
0
8
0
32
16
8
8
0
0
0
0
1
0
1
8
0
0
0
1
1
16
16
16
0
1
0
0
16
0
0
0
32
0
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
4
0
0
0
0
2
0
0
0
0
0
0
0
16
0
0
0
1
0
8
0
0
0
16
0
0
0
16
0
4
0
0
16
8
25
2
0
8
16
0
16
2
2
2
0
0
0
2
2
8
12
32
4
24
2
0
0
0
0
8
16
0
0
0
0
0
8
0
25
25
25
25
0
0
0
0
0
8
8
16
16
0
0
0
16
0
2
8
24
0
0
1
1
1
16
0
0
0
0
8
16
16
0
0
0
0
0
0
0
4
0
8
0
2
2
0
0
24
12
16
0
0
8
8
8
16
49
49
0
0
0
0
8
0
0
0
35
0
16
0
0
0
0
0
0
0
8
0
8
8
0
0
0
0
0
16
16
16
16
1
0
0
16
1
1
0
2
0
16
8
0
12
0
15
0
8
0
0
0
0
0
0
0
0
1
1
0
4
4
0
16
0
0
16
16
6
32
8
0
24
24
24
4
4
4
4
2
2
5
5
16
2
2
2
8
0
0
0
0
0
2
0
0
0
0
0
2
0
0
8
0
0
0
0
4
0
0
0
0
0
16
16
17
0
0
0
0
0
0
1
1
1
1
0
0
1
0
0
0
0
0
0
12
0
4
0
0
0
16
16
0
8
16
8
0
0
0
4
0
2
0
0
0
0
0
0
1
1
0
0
0
8
0
16
16
0
16
8
0
0
0
0
0
0
0
0
17
16
0
8
0
0
0
32
8
16
0
0
0
32
0
0
0
8
8
8
50
8
0
0
0
8
0
4
4
20
4
32
8
8
8
23
0
0
0
16
0
0
1
8
8
8
8
0
0
20
9
9
9
0
0
0
0
0
0
0
2
2
0
16
16
0
0
7
16
48
16
0
0
16
16
16
0
0
8
0
8
8
0
0
0
1
8
8
0
4
16
4
0
0
25
25
16
0
16
2
0
0
0
27
8
0
0
0
0
0
16
0
0
16
8
12
12
8
1
1
0
1
56
2
0
0
0
0
0
0
20
0
0
0
0
4
0
0
28
28
4
8
8
0
0
16
2
2
0
0
8
32
32
4
8
0
0
0
0
0
2
32
0
8
8
0
0
16
16
0
0
0
0
0
0
32
16
0
0
16
8
8
0
0
0
0
0
0
0
0
20
20
20
1
1
8
8
8
0
0
0
16
0
0
24
0
8
8
8
0
0
0
0
28
28
0
0
0
0
6
6
0
0
44
44
0
16
16
1
1
1
1
16
0
0
4
0
0
5
5
5
4
4
8
8
2
0
0
0
0
0
0
1
1
0
0
0
0
18
0
4
0
0
8
8
0
24
5
0
0
16
0
0
6
0
0
27
8
8
0
8
16
0
8
0
0
0
8
8
8
0
0
0
16
8
4
0
8
8
16
0
12
4
8
0
2
2
2
8
8
0
0
8
16
8
16
0
0
8
8
16
0
0
0
0
0
0
0
0
0
0
0
0
32
32
1
1
8
0
0
0
0
0
4
32
10
0
1
0
16
0
6
0
0
6
8
0
8
16
32
0
0
16
16
0
0
0
0
16
16
0
16
16
0
0
0
0
0
8
8
0
0
4
4
4
32
8
12
0
4
8
32
32
10
0
8
0
8
16
8
0
0
8
8
0
0
0
0
0
12
12
4
16
24
0
0
4
8
8
0
4
4
8
8
8
8
8
16
0
0
0
0
4
4
4
4
0
0
16
32
16
16
0
0
0
0
0
0
0
0
0
18
4
28
0
0
8
0
8
8
8
0
0
0
0
1
1
2
1
1
0
0
0
17
0
8
8
8
8
0
0
0
8
8
0
8
8
0
0
1
0
16
16
16
0
0
0
0
0
16
0
4
8
0
0
0
0
0
0
0
0
8
0
8
8
0
8
8
8
8
8
0
0
0
0
0
8
8
0
16
16
16
8
0
0
16
0
1
0
0
1
0
12
16
0
0
0
8
8
8
0
8
4
0
0
16
16
16
16
16
0
0
0
8
0
0
0
0
0
8
8
0
0
0
8
0
8
7
0
0
0
8
4
16
16
16
16
16
8
0
0
0
16
8
8
8
0
1
1
4
0
0
52
52
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
16
0
0
0
0
8
16
0
0
0
1
1
8
26
0
0
0
8
8
2
8
0
0
8
0
20
8
16
0
0
0
1
1
8
8
8
2
1
16
0
0
0
0
8
8
1
0
32
0
0
0
0
0
0
8
0
0
0
0
0
0
8
10
10
16
8
0
16
0
8
4
8
0
16
16
16
4
16
0
0
8
8
0
0
24
0
16
0
0
0
0
0
0
0
0
0
0
8
32
0
0
0
0
0
7
0
0
0
0
0
0
32
32
32
16
16
0
0
0
0
0
10
0
2
24
0
0
25
32
32
32
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
10
10
0
1
4
8
8
0
16
16
8
1
2
16
8
8
0
0
0
0
8
13
0
0
0
8
12
16
0
8
0
0
0
0
0
0
0
0
8
0
0
16
0
0
0
0
0
0
0
0
16
8
0
0
8
24
32
0
0
8
8
8
8
18
0
0
1
1
51
51
0
8
16
8
8
0
0
16
1
2
8
8
0
8
16
4
0
0
0
32
0
0
0
0
26
1
8
8
8
8
16
16
0
0
0
0
0
0
0
0
0
21
16
16
16
32
8
8
8
0
0
0
0
16
16
0
8
16
0
0
0
0
8
0
0
0
0
8
2
0
32
0
0
16
8
0
0
0
0
16
16
0
16
8
0
0
0
0
4
0
0
0
0
50
4
0
0
0
0
16
8
0
0
0
0
8
0
0
8
8
8
8
8
0
0
0
0
0
0
0
0
16
16
1
2
8
0
0
32
0
0
0
0
0
0
0
0
4
28
2
2
0
1
1
1
8
0
0
0
18
0
16
16
0
0
0
8
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
8
8
0
4
4
4
8
16
0
0
0
0
0
7
1
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
1
2
0
32
0
0
0
0
0
8
6
2
8
8
0
0
0
1
0
0
0
0
4
16
0
0
0
24
4
0
8
4
0
0
1
0
0
0
16
8
4
0
0
0
0
4
0
0
0
16
8
0
0
0
0
16
0
0
0
0
0
0
0
0
0
8
0
0
0
0
1
8
0
0
16
16
16
16
8
32
8
16
16
8
8
4
8
8
0
0
16
16
0
0
4
8
0
16
8
2
2
2
0
0
0
0
0
0
16
8
8
0
0
0
24
0
0
0
16
8
8
0
0
8
0
2
0
0
0
0
1
0
0
0
0
0
8
0
0
4
0
0
1
0
0
0
0
2
8
8
8
8
8
8
8
8
8
0
0
16
0
16
0
0
0
1
0
8
8
0
4
0
4
4
16
0
16
16
16
16
4
8
2
16
0
0
8
0
0
8
8
8
0
0
0
8
8
0
2
0
20
8
8
0
32
4
4
0
8
4
0
0
0
9
4
4
8
0
0
0
2
8
0
4
16
0
8
8
0
0
8
48
48
48
2
2
2
8
8
8
8
8
0
0
8
4
0
0
0
0
0
0
0
0
0
0
0
1
0
2
8
9
4
2
0
1
0
0
0
8
0
4
0
8
0
0
0
9
16
16
0
16
0
0
0
0
24
24
0
0
0
0
0
8
0
0
0
8
0
0
0
0
16
8
8
0
0
0
0
0
0
4
0
16
16
0
4
4
4
4
16
16
16
0
0
4
4
4
4
4
9
9
8
0
0
0
16
0
5
0
8
0
16
16
0
0
8
8
0
8
0
0
0
8
20
8
2
5
0
0
4
1
0
0
0
8
4
0
8
32
0
0
0
0
28
8
8
8
6
0
8
0
0
0
8
0
28
28
0
0
1
8
0
1
0
8
1
1
1
0
0
0
0
0
0
8
2
8
0
9
0
8
8
8
16
8
8
9
2
20
8
8
0
0
0
0
0
0
0
0
0
0
4
0
16
8
8
1
1
1
1
8
16
1
44
44
0
2
2
0
0
0
0
0
0
0
8
8
8
8
8
8
0
0
0
0
33
33
33
9
9
8
1
1
0
8
8
0
16
8
0
1
1
0
8
8
8
0
4
0
0
0
0
4
8
0
0
8
16
0
9
8
0
8
0
0
24
24
6
0
0
0
0
0
0
4
12
12
16
0
8
0
0
0
0
16
1
1
1
8
8
0
8
16
16
0
0
0
0
0
4
32
32
8
0
8
0
16
16
0
0
0
0
0
0
8
0
0
0
8
8
0
0
0
16
0
0
4
0
16
0
4
0
0
0
0
0
0
0
18
0
0
0
0
2
0
0
0
0
4
16
16
16
16
16
16
6
0
0
0
16
0
2
1
0
0
24
6
16
16
0
2
0
0
8
8
8
0
0
0
0
1
1
4
0
0
0
16
0
0
0
0
8
8
8
16
16
16
8
0
0
0
8
0
20
40
40
0
0
0
0
16
2
0
32
8
8
8
8
20
1
8
0
0
0
1
0
0
0
16
16
0
0
2
16
2
2
0
8
16
16
16
8
8
8
4
0
0
8
8
0
0
8
0
16
16
8
0
53
0
0
0
0
16
0
0
0
0
0
0
4
22
8
6
6
6
1
16
0
0
0
0
32
8
0
0
0
0
0
40
0
0
8
12
12
12
12
1
0
8
8
0
0
0
0
8
57
57
0
0
0
0
0
0
0
16
0
16
8
0
16
0
32
0
0
0
0
0
0
0
0
0
8
0
0
0
0
8
0
0
0
0
0
4
4
0
0
0
16
0
20
20
0
0
0
0
0
0
16
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
5
0
0
0
0
0
0
8
0
16
16
16
24
24
0
0
0
0
0
8
8
8
0
0
0
16
0
0
1
0
32
32
32
0
16
8
16
16
16
0
48
48
48
16
16
0
4
4
1
1
0
0
0
4
29
0
0
0
0
0
0
0
16
0
0
0
8
0
0
0
0
0
0
0
8
0
0
0
16
16
0
14
0
0
0
0
0
0
0
0
18
0
16
16
16
16
0
24
4
8
0
0
0
8
0
0
0
16
16
0
0
0
0
0
0
32
0
1
16
0
0
0
8
32
16
16
16
16
0
0
8
0
8
0
16
16
16
0
1
1
0
0
2
32
6
0
0
48
0
0
0
16
16
0
0
0
0
0
0
8
0
0
0
0
0
0
0
2
2
16
8
8
0
0
0
8
8
0
0
0
0
0
0
0
0
8
0
0
0
0
40
0
0
0
0
0
16
0
0
40
0
16
8
8
8
12
0
8
4
32
16
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
4
16
0
8
0
0
0
0
0
2
2
0
16
16
16
0
0
0
0
0
10
8
0
0
0
0
4
4
2
2
2
2
2
2
24
16
0
0
16
1
0
0
0
8
8
0
0
0
0
0
0
0
0
8
16
16
24
8
0
0
8
0
8
8
0
16
16
16
0
24
4
0
0
0
0
0
0
24
8
0
0
0
0
0
6
0
0
0
0
0
0
8
0
16
0
0
0
16
0
0
1
1
8
8
1
6
0
0
0
0
16
48
0
28
28
0
0
8
8
0
16
2
2
0
0
0
0
0
0
0
18
2
2
0
0
0
0
4
0
1
1
0
0
0
1
0
0
2
0
0
8
16
1
16
0
0
0
0
0
0
16
16
0
0
0
16
16
24
0
4
0
0
0
0
0
8
0
0
0
32
32
8
0
0
0
25
32
0
0
0
0
0
0
0
0
1
1
1
1
0
4
8
8
0
0
16
8
0
0
0
0
0
0
8
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
4
4
0
0
8
0
0
0
4
12
2
0
8
0
0
0
16
0
0
0
1
1
2
0
0
0
0
8
49
0
24
0
32
32
32
16
16
0
0
8
8
0
8
16
16
16
16
8
17
2
4
0
4
4
8
4
4
0
0
0
0
2
8
8
0
0
0
8
8
8
8
8
8
8
0
0
2
2
4
8
8
8
8
8
4
16
0
8
20
20
20
2
0
0
8
16
16
0
0
0
0
4
4
0
0
0
42
42
0
16
16
0
0
61
0
16
0
1
0
8
0
0
4
0
0
0
0
22
0
0
4
0
16
0
0
0
0
0
0
0
17
17
17
0
0
0
8
8
8
8
4
0
0
0
0
0
0
0
0
0
0
1
6
6
8
8
8
16
0
0
24
0
0
0
42
0
0
0
8
0
0
3
1
1
1
1
0
0
16
0
0
24
8
6
0
0
16
0
0
0
0
0
0
0
0
0
0
0
8
4
4
0
0
1
0
16
0
6
0
8
0
0
16
0
0
0
0
0
16
0
16
0
0
0
8
8
8
0
16
0
0
9
20
0
0
0
0
16
0
0
16
0
0
32
0
16
16
16
0
0
0
0
0
4
16
0
16
8
8
0
0
0
32
16
0
0
8
0
12
12
0
0
4
4
0
0
8
0
1
24
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
0
4
2
8
0
0
0
0
16
0
0
0
0
0
0
0
0
0
8
2
16
0
0
0
3
0
20
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
8
0
0
0
0
9
9
9
0
0
6
0
0
32
0
0
2
56
56
2
0
0
8
0
0
0
16
0
0
0
8
0
33
16
16
1
8
16
0
8
8
0
8
8
0
0
0
0
0
0
0
48
0
0
0
0
0
0
16
8
16
0
8
40
40
40
16
0
16
16
0
0
0
0
0
0
8
0
0
0
24
8
8
4
0
4
0
0
0
0
0
0
0
2
0
1
0
24
1
8
32
0
0
0
0
0
0
0
8
1
0
8
12
0
4
16
0
16
16
16
16
0
8
0
0
0
18
4
4
0
0
0
6
24
24
0
8
0
8
8
0
0
0
0
4
8
2
0
0
8
0
0
3
4
0
0
0
0
40
0
0
2
0
0
0
16
16
16
16
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
4
16
16
16
8
0
0
16
0
0
0
0
8
1
0
0
0
1
0
0
0
4
4
0
0
0
6
16
0
0
16
16
16
16
16
16
16
16
16
16
16
16
16
0
4
1
0
16
8
0
0
0
8
8
1
0
4
16
0
17
32
1
0
8
8
8
8
0
16
16
16
17
17
17
0
0
0
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
0
5
5
5
0
0
0
4
1
1
0
1
0
4
0
8
2
0
0
0
8
16
0
0
0
0
16
8
8
0
4
8
8
8
0
0
0
0
8
0
16
0
0
0
2
0
0
24
12
16
0
0
0
0
0
16
0
0
0
0
8
32
0
0
0
0
4
8
0
0
8
0
0
16
24
2
2
0
0
0
0
8
8
8
2
0
0
1
0
0
6
4
0
0
0
0
16
16
0
8
0
0
0
0
0
0
0
4
0
52
0
0
0
0
4
4
8
8
8
8
16
2
0
0
8
0
0
0
16
8
8
8
0
0
8
19
17
8
16
10
0
16
16
16
32
0
24
1
32
32
6
8
8
0
8
8
13
1
0
17
17
0
0
0
16
8
0
0
0
0
0
0
0
0
0
8
0
0
0
16
0
0
18
0
0
16
0
4
8
0
4
0
0
0
16
1
1
1
1
1
32
32
0
0
1
1
1
0
0
8
8
16
16
0
16
16
8
16
8
8
8
8
0
0
0
16
0
2
0
0
8
8
0
0
0
8
8
16
16
16
32
8
8
0
0
0
8
0
4
16
17
24
24
24
9
9
2
0
8
16
16
0
0
0
0
1
1
21
0
0
0
0
0
0
0
0
0
0
0
32
0
0
16
0
20
1
0
0
0
4
4
4
0
1
1
4
8
0
0
8
0
8
8
0
0
1
0
8
0
0
0
0
0
0
0
0
0
16
16
16
8
8
0
8
8
0
28
0
2
0
0
8
2
0
32
4
8
4
0
0
24
0
0
0
0
0
8
0
16
16
0
8
0
0
0
0
0
8
0
12
0
0
48
48
0
0
0
0
0
4
4
0
8
8
0
16
1
8
0
9
4
4
4
4
0
0
0
2
1
8
16
8
18
4
0
0
0
0
0
4
0
0
0
8
0
8
0
0
0
2
8
8
0
0
0
0
0
0
0
0
4
4
4
4
4
4
4
0
0
0
0
0
0
10
32
0
0
0
0
0
0
0
0
16
16
0
0
8
0
8
8
8
0
0
0
0
4
8
8
8
0
0
0
0
0
16
0
8
24
0
2
20
0
8
8
0
0
16
58
0
0
1
16
0
16
16
0
16
0
8
0
0
0
0
16
4
0
0
0
0
0
0
16
0
8
0
8
0
0
0
0
0
16
16
0
1
0
0
0
0
8
0
0
0
0
2
2
2
8
16
0
0
0
2
8
16
16
16
4
0
0
0
19
19
0
16
0
9
8
0
0
40
40
40
8
24
2
2
0
0
4
4
24
24
24
8
0
0
0
0
4
0
8
8
16
0
16
8
12
0
24
24
24
24
20
0
0
0
8
20
2
2
2
0
0
0
1
0
16
8
8
8
8
8
2
0
1
8
8
8
1
0
0
2
2
2
8
25
0
20
1
8
8
16
16
16
16
0
8
0
4
0
8
8
1
1
0
0
8
0
0
0
24
8
8
0
8
0
8
8
8
4
4
0
16
0
0
4
4
0
32
0
0
0
16
0
0
0
0
0
0
0
0
0
28
16
0
0
8
8
0
8
8
8
0
0
0
8
16
0
0
0
10
10
10
0
2
0
4
0
0
0
0
29
0
0
16
4
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
2
4
8
4
4
0
8
9
4
0
16
16
4
16
0
0
8
8
8
0
0
0
2
4
8
0
0
0
8
0
0
1
0
0
0
16
4
4
4
4
4
0
8
8
8
0
12
0
0
20
1
0
8
4
4
4
0
16
4
0
0
0
0
4
4
4
11
16
0
0
0
0
4
0
16
8
16
2
4
16
16
0
16
16
1
1
8
8
0
8
0
0
20
0
0
0
16
16
16
0
0
4
0
0
0
0
19
8
24
0
4
33
1
8
8
8
8
0
0
0
8
0
0
8
0
0
0
0
0
8
0
0
0
0
5
0
0
8
8
8
0
8
8
8
0
2
2
2
2
0
8
0
0
0
0
0
8
2
0
36
4
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
8
0
0
24
0
0
17
0
0
0
0
0
0
0
0
0
41
0
0
0
0
0
0
8
8
0
0
8
8
0
0
19
2
4
0
0
16
0
0
1
0
8
0
0
17
0
0
4
22
0
24
16
4
4
0
0
8
8
8
16
16
0
0
0
0
0
4
19
19
16
8
4
20
8
8
0
0
0
4
4
0
0
0
16
0
0
0
0
0
0
8
8
0
16
9
8
4
0
8
0
0
1
0
8
0
0
0
0
0
0
0
0
0
8
8
16
8
0
16
8
8
4
2
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
16
16
2
8
16
0
0
0
0
16
16
16
1
0
8
24
1
0
16
0
4
4
4
4
4
4
16
34
1
1
0
0
0
8
0
0
0
8
8
34
16
1
16
16
1
0
0
16
16
0
0
16
0
0
0
0
0
2
0
8
0
8
8
2
2
0
0
0
0
48
8
0
0
0
0
0
0
8
0
0
4
8
8
8
8
0
0
0
8
0
8
0
0
16
16
8
0
0
0
0
8
0
1
4
4
4
4
4
30
30
30
0
6
6
0
0
0
32
17
17
8
8
16
4
4
0
13
13
13
0
6
6
6
0
0
0
0
8
0
16
2
32
0
0
0
4
4
8
0
0
16
28
28
0
10
8
8
8
8
16
0
40
0
0
0
0
0
8
8
0
0
0
0
16
20
0
0
5
1
0
0
8
16
16
2
0
0
0
0
8
36
0
0
0
0
0
0
0
16
16
16
16
0
0
0
0
0
20
2
0
0
0
0
4
24
0
0
8
24
0
0
0
0
0
8
4
2
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
8
0
17
0
0
0
0
0
16
0
0
0
0
0
2
2
2
8
0
8
8
8
0
0
0
16
2
0
0
0
0
0
1
1
0
0
8
8
8
25
48
0
16
16
0
0
0
0
0
16
8
0
9
1
0
16
0
0
16
0
0
2
2
2
16
16
16
4
2
0
0
0
0
1
0
16
0
0
0
0
0
0
43
43
0
16
0
8
0
8
8
0
0
33
33
33
33
0
0
8
0
16
1
0
0
0
0
0
0
0
0
0
0
8
0
0
0
12
16
16
8
45
9
9
0
0
0
0
8
0
0
16
32
0
0
0
0
0
0
0
16
4
0
8
16
16
0
0
0
0
0
0
0
0
8
0
4
4
1
2
0
32
0
0
8
8
0
0
0
0
8
8
8
6
0
0
0
0
1
0
8
0
16
0
8
8
16
16
16
16
0
0
0
8
8
0
0
0
0
8
0
2
8
2
2
2
0
0
0
12
0
0
0
0
27
27
27
0
8
0
0
0
0
2
2
0
0
0
8
0
44
44
44
44
0
0
0
0
0
2
0
8
33
33
0
0
0
16
16
4
1
0
16
16
16
16
16
16
1
4
0
16
16
16
16
4
0
0
0
0
0
0
0
16
41
8
0
0
0
0
0
0
0
0
12
4
16
2
2
0
8
0
0
1
1
8
16
0
0
0
8
0
0
0
16
0
8
8
10
0
0
17
17
0
0
8
8
2
0
0
0
16
16
16
16
16
16
16
0
0
0
0
1
1
0
1
0
0
8
2
4
4
8
20
0
0
0
0
0
0
4
4
8
8
32
0
0
8
4
0
8
0
0
0
0
0
0
42
0
0
0
0
0
0
16
2
0
0
0
16
16
16
16
8
0
0
0
0
0
0
2
2
24
17
16
56
0
8
0
0
16
8
0
16
16
16
16
16
2
8
8
0
16
0
8
16
0
8
0
0
0
4
0
0
0
0
0
9
16
16
0
16
0
8
12
0
8
0
0
0
0
9
9
16
8
16
16
8
8
0
0
0
16
16
0
0
0
0
0
0
16
32
0
0
0
0
2
0
0
2
0
0
0
20
0
0
0
16
16
16
16
0
8
3
8
8
0
0
0
0
0
0
9
0
0
0
8
2
8
8
0
4
16
16
48
0
1
1
16
0
0
0
0
0
0
8
0
2
0
24
24
24
8
8
29
4
0
0
0
0
0
0
8
8
8
8
8
0
4
4
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
8
16
20
0
16
8
8
8
0
0
25
25
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
8
8
8
0
0
0
1
1
0
0
8
24
0
0
0
16
16
16
16
0
0
8
8
16
1
0
0
16
8
8
4
0
2
0
0
16
0
0
0
0
0
0
0
0
0
0
0
8
0
0
8
10
8
8
12
0
0
0
1
8
8
8
1
0
0
0
0
0
0
8
8
0
16
8
8
8
0
1
2
0
35
8
8
8
0
8
8
8
2
24
16
4
6
0
0
0
4
0
4
2
0
0
0
0
0
0
0
8
8
8
8
8
8
0
0
0
8
24
0
8
16
0
0
0
1
1
1
0
2
8
8
2
0
0
0
16
16
0
0
0
8
0
0
0
0
0
0
28
2
16
0
0
16
0
0
1
8
0
8
8
8
8
0
0
0
8
8
16
16
16
0
0
2
0
0
0
0
0
0
0
0
8
0
0
16
0
0
0
0
0
8
0
4
0
0
0
12
12
12
12
12
12
12
0
0
0
0
2
0
8
8
32
32
8
8
0
0
16
16
8
0
0
16
0
20
20
0
0
1
0
16
16
0
0
16
0
0
0
0
24
16
16
10
2
2
0
4
0
0
0
24
24
0
0
4
0
0
16
2
0
0
1
0
4
0
0
0
16
16
16
0
0
22
22
1
0
0
0
4
4
0
0
0
0
4
4
0
16
4
0
8
0
0
40
0
0
0
0
0
8
0
0
0
0
0
0
0
8
8
8
8
13
0
16
8
8
16
0
0
0
16
16
12
12
8
8
8
8
8
8
8
8
8
8
8
8
0
0
0
0
0
0
0
0
8
0
0
0
24
0
0
0
16
8
0
0
3
3
3
0
0
16
0
0
0
4
16
16
0
0
0
0
0
0
0
16
8
16
0
0
1
16
1
2
2
16
17
17
17
0
0
4
8
0
0
0
24
0
0
0
0
4
0
26
8
8
8
0
4
8
0
8
16
12
8
8
8
8
8
8
24
0
0
8
8
0
22
22
8
16
0
2
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
32
0
0
0
0
0
26
2
0
0
0
0
0
8
18
12
12
12
0
0
8
0
0
4
8
8
8
0
0
24
8
8
8
16
16
16
48
8
28
4
8
40
0
0
16
8
1
0
16
0
8
16
2
8
0
0
0
8
8
0
0
8
8
8
0
0
0
2
0
0
8
8
0
0
0
16
0
8
0
16
2
0
16
0
0
0
0
4
0
0
32
32
0
1
0
0
0
0
0
0
16
0
16
0
0
0
0
0
13
13
13
0
0
0
0
1
1
0
0
0
0
0
0
3
0
8
0
0
0
0
2
2
2
0
0
8
8
0
4
4
16
0
0
0
0
0
0
0
8
8
0
0
0
8
0
0
0
0
1
1
0
0
0
4
4
4
4
32
32
0
0
0
0
0
0
0
0
16
0
0
0
0
0
48
0
0
2
0
0
0
0
16
4
0
0
4
8
8
0
2
2
2
0
0
0
4
8
8
2
16
12
0
0
0
8
16
16
0
0
2
2
0
32
0
0
4
4
8
8
0
0
0
0
8
0
0
16
16
16
2
0
0
0
0
0
8
16
4
0
16
16
4
16
16
0
0
0
0
8
0
0
0
0
16
0
0
0
24
24
24
24
24
24
8
4
4
4
16
16
0
0
0
8
0
16
8
4
4
4
16
8
0
0
0
8
0
0
16
0
4
4
0
0
0
32
32
16
16
8
0
0
0
0
8
8
8
4
4
9
0
16
0
0
0
0
8
1
0
0
0
0
17
17
0
0
0
0
0
8
8
8
8
4
8
8
0
8
8
0
0
0
0
0
48
0
17
17
0
8
0
4
0
0
0
16
1
16
8
1
0
0
0
0
16
17
17
16
0
0
0
0
8
12
0
8
0
8
0
8
0
0
0
0
0
0
16
0
0
16
0
0
16
0
0
4
1
8
8
0
0
0
0
0
4
0
0
0
16
4
4
0
0
0
1
0
0
0
0
8
0
0
0
0
0
8
2
16
8
0
2
0
8
16
0
8
0
0
0
0
8
0
0
0
0
0
8
2
8
4
0
0
0
2
4
4
0
0
0
0
0
0
16
16
0
0
0
0
16
16
0
0
0
2
2
2
8
0
0
16
0
32
0
8
8
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
4
0
16
0
0
0
0
0
0
0
0
8
2
2
0
0
20
0
8
0
0
0
0
0
0
0
20
0
0
4
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
1
25
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
16
0
0
8
8
24
0
4
0
2
4
8
8
0
8
0
0
0
32
0
0
0
0
0
18
0
0
0
0
0
8
8
8
8
14
4
0
8
8
0
0
0
0
0
0
0
0
16
0
2
0
0
0
8
16
0
8
0
0
0
4
4
8
0
0
0
0
0
0
2
0
0
0
0
8
8
17
0
0
28
0
38
38
38
24
0
20
0
33
0
0
8
0
0
0
0
0
0
0
0
0
0
16
16
0
0
16
16
16
0
24
0
0
0
0
1
1
3
0
0
0
0
0
0
1
0
8
8
8
0
0
0
0
0
0
0
4
4
0
0
4
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
8
0
0
0
0
0
1
8
0
0
16
0
0
2
0
0
0
12
0
8
0
0
0
0
12
8
0
48
0
0
8
8
8
8
8
16
0
0
0
8
0
0
0
0
0
0
8
4
0
0
8
8
0
0
4
0
18
8
16
0
0
0
0
0
16
0
0
0
18
0
0
0
8
0
0
8
0
0
0
24
0
16
0
0
0
0
2
0
0
0
0
0
0
0
0
0
8
0
0
4
4
0
4
0
0
8
8
8
0
0
0
12
0
0
8
0
0
0
8
24
16
0
0
1
1
0
0
0
8
0
1
0
27
27
8
8
0
0
0
0
0
0
0
0
30
0
4
0
12
12
0
0
0
0
0
8
0
0
16
0
0
0
0
0
0
16
16
16
16
2
1
1
16
0
8
0
0
8
1
1
1
1
0
8
8
0
1
0
0
0
8
8
0
0
1
0
0
0
0
0
0
0
0
0
16
8
0
0
0
0
0
8
0
0
8
22
0
0
0
0
0
0
0
0
0
16
12
0
0
0
16
4
0
0
0
0
0
32
4
0
0
16
16
9
0
0
16
8
8
0
0
0
0
8
19
19
19
0
0
0
0
0
24
24
4
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
8
0
0
0
0
2
0
16
16
0
0
0
0
0
0
0
0
0
0
8
5
0
0
0
0
0
0
0
0
2
2
0
0
1
0
0
16
0
0
2
0
16
16
0
40
0
0
0
0
0
0
8
0
0
8
0
0
2
0
0
18
8
0
0
8
8
0
1
0
0
0
16
8
0
0
4
4
0
4
0
0
24
0
0
0
0
0
20
16
0
0
0
17
0
0
16
0
0
0
4
4
0
0
16
0
1
0
0
0
0
0
0
0
1
0
0
0
8
0
8
0
0
8
4
0
0
0
0
2
0
0
0
0
0
0
0
0
16
0
16
8
8
8
16
0
3
3
0
0
0
0
0
0
8
0
1
1
1
1
0
0
0
0
5
8
4
0
0
0
8
8
0
15
0
8
0
8
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
8
0
0
19
0
8
0
0
8
8
8
8
8
8
0
0
0
4
0
16
16
8
0
0
0
0
19
0
2
0
0
8
0
0
0
0
0
16
16
16
2
0
2
0
0
16
0
0
0
0
0
0
0
0
0
0
0
1
8
0
0
8
0
2
0
8
0
7
7
0
0
0
24
8
16
0
0
32
0
0
0
0
0
16
16
0
0
0
0
20
20
9
4
8
0
0
0
0
0
0
0
0
0
0
8
0
0
8
8
0
0
0
0
0
0
4
4
4
4
4
4
0
0
0
0
0
0
4
8
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
8
8
0
0
0
16
16
0
0
18
18
8
8
0
11
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
16
0
0
2
2
0
0
4
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
37
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
8
0
0
0
0
0
0
0
8
0
0
0
0
0
0
16
16
0
0
10
0
0
0
0
0
0
0
0
0
0
24
24
16
9
2
2
8
8
0
0
0
0
0
8
0
57
1
0
0
0
4
4
4
4
0
0
0
0
2
0
8
40
0
0
16
0
0
0
0
0
1
8
0
16
16
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
16
1
0
0
0
1
1
0
0
0
8
0
0
0
0
0
16
16
16
0
0
16
0
2
0
16
16
16
16
2
0
0
8
0
0
0
0
2
2
1
0
8
5
9
0
0
5
0
0
16
0
0
0
0
0
2
0
0
0
0
16
0
0
0
0
0
8
8
0
0
0
0
0
0
0
16
0
16
12
8
0
0
16
16
16
0
0
0
0
8
0
4
0
16
0
0
0
16
0
14
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
16
24
24
24
0
1
1
24
0
0
0
8
0
0
20
0
0
32
0
5
0
0
0
16
16
0
1
8
0
0
0
16
16
0
0
16
16
2
8
16
0
0
24
16
8
0
0
8
16
0
0
0
0
4
0
0
0
0
8
0
0
16
8
8
8
0
0
0
24
17
24
0
8
0
0
0
0
0
0
0
0
0
0
8
8
4
0
0
0
0
0
30
0
0
0
0
0
0
0
0
0
16
16
16
0
0
20
18
18
16
16
16
0
0
0
0
0
0
0
17
4
0
8
8
8
8
0
16
8
0
0
0
0
0
0
0
16
2
0
16
0
0
2
0
16
0
0
8
0
1
2
2
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
4
0
8
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
16
0
4
8
8
8
0
0
0
0
8
4
0
1
0
1
0
0
17
0
16
0
0
16
0
0
0
0
0
8
0
0
0
0
0
24
0
0
0
0
8
8
8
0
16
0
8
0
0
0
0
0
0
1
0
0
8
4
16
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
32
0
4
0
0
16
0
0
0
0
0
0
0
0
0
0
8
3
0
8
2
0
0
1
4
2
0
8
8
16
0
0
8
0
0
0
0
16
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
6
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
4
8
0
2
17
0
0
0
0
0
0
0
0
0
0
0
0
0
0
44
0
0
16
0
8
8
16
0
0
0
16
32
0
0
8
8
8
0
8
0
2
0
0
16
0
0
0
8
0
0
1
0
0
0
0
8
1
1
0
0
0
0
0
0
0
0
0
4
0
0
0
0
2
4
0
0
1
0
0
0
0
0
0
8
16
16
0
0
0
2
2
0
0
8
8
0
0
0
0
0
24
24
8
12
12
12
0
0
0
0
0
2
8
8
8
0
2
2
0
0
16
2
2
0
0
0
0
1
1
24
1
0
8
0
0
0
0
4
0
0
0
16
16
8
8
1
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
1
0
8
22
16
16
1
0
0
8
0
0
0
2
8
0
0
41
0
0
16
0
16
16
0
0
0
0
0
0
1
0
0
0
0
0
2
2
2
2
2
8
4
8
0
0
0
0
6
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
16
16
16
16
0
8
0
0
0
0
0
0
0
8
8
0
0
16
16
16
0
40
40
0
0
0
0
0
8
8
8
0
0
0
0
0
0
48
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
9
0
0
0
0
0
0
0
48
48
0
18
0
0
0
0
2
0
8
0
0
4
0
0
0
16
0
0
4
0
8
8
0
0
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
1
4
8
1
0
16
16
0
2
0
0
0
0
0
0
0
16
0
4
0
16
0
0
0
8
16
0
0
0
0
0
0
40
40
6
0
18
0
0
0
0
0
0
0
0
0
0
8
16
16
20
0
0
0
0
0
0
0
16
3
2
2
0
16
16
0
0
0
1
0
0
4
0
0
0
0
0
16
0
0
8
8
8
16
0
2
32
0
2
2
0
0
2
0
0
8
0
28
0
0
0
8
16
0
0
0
0
1
8
0
0
0
0
1
4
25
0
0
0
0
0
0
0
0
0
0
0
0
16
8
8
0
0
8
4
8
16
8
0
0
0
0
0
0
0
0
18
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
16
16
0
0
18
18
18
18
0
0
0
0
0
0
8
0
0
0
0
0
0
0
8
0
0
0
33
33
0
0
16
16
0
0
0
0
0
24
24
0
0
0
0
0
0
0
0
24
1
0
0
0
0
4
9
0
4
8
0
0
40
16
0
0
16
4
0
8
0
0
1
0
0
0
0
24
8
0
16
0
0
0
0
0
0
0
16
16
4
0
0
0
0
0
0
0
0
0
4
16
0
0
0
8
0
2
24
16
32
32
6
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
8
4
4
0
0
0
4
20
8
0
0
0
8
0
8
0
4
4
8
8
0
0
0
0
0
0
0
0
0
8
4
8
0
0
16
0
20
16
8
8
8
10
10
0
0
0
0
4
2
0
0
8
8
0
8
0
8
8
1
17
17
0
0
0
0
0
0
0
0
0
32
0
16
16
0
16
16
16
16
16
16
0
0
0
0
0
0
0
0
0
0
0
8
8
2
0
0
0
0
0
0
0
16
16
16
16
16
16
8
8
8
8
8
0
0
0
0
0
2
16
1
4
0
0
0
0
0
0
8
8
0
0
0
16
16
0
0
1
1
0
8
0
0
0
16
8
8
8
8
2
0
0
0
0
0
0
0
0
0
16
0
0
0
2
0
0
0
0
0
8
8
0
0
0
0
0
8
0
8
0
0
4
0
0
8
0
16
16
24
0
0
0
0
16
0
16
8
8
24
0
0
0
0
8
0
0
0
0
0
0
0
20
18
0
8
0
1
2
2
2
2
0
0
16
16
8
8
8
16
0
16
4
4
8
0
16
0
0
24
0
0
0
0
2
2
16
8
0
0
0
8
8
0
20
0
4
16
8
2
2
16
0
0
0
0
0
0
0
0
0
0
0
16
0
40
0
0
0
4
0
0
16
0
0
0
9
8
8
8
0
0
1
1
0
0
0
0
0
0
0
2
0
0
8
0
0
0
0
0
0
0
0
16
0
0
16
0
0
8
0
0
16
4
0
0
8
0
0
8
0
8
8
0
0
8
0
0
0
0
16
0
2
2
2
18
0
0
0
0
8
0
0
0
0
0
0
8
4
9
16
16
0
0
0
0
0
0
0
9
0
0
8
8
0
0
8
0
8
0
8
0
0
0
0
0
0
0
4
0
0
8
8
8
0
16
0
0
16
0
0
0
0
8
8
0
0
0
0
0
0
16
24
0
0
0
0
0
1
4
0
2
0
8
16
16
16
16
16
16
0
0
8
8
8
8
0
0
0
0
0
0
4
0
0
2
0
16
0
16
16
0
0
16
0
0
0
0
0
0
0
0
0
0
24
0
0
0
18
0
0
0
0
1
1
0
0
0
0
0
1
16
16
16
16
40
0
0
8
1
0
0
0
0
0
16
0
0
0
0
0
0
16
0
0
8
0
19
24
12
0
0
8
0
1
1
0
0
0
0
0
0
0
0
0
0
24
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
8
8
16
0
0
32
32
32
0
0
16
17
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
8
0
8
21
1
1
8
0
0
16
0
4
16
16
16
0
0
0
0
2
0
0
4
0
0
0
0
0
0
8
0
0
0
4
9
0
0
2
2
0
25
8
4
8
0
16
0
8
0
0
0
0
0
8
8
0
0
0
32
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
16
8
0
1
0
0
0
16
16
0
0
0
0
0
0
8
0
0
0
0
2
17
0
0
0
0
8
0
3
3
0
0
4
0
8
0
8
8
8
0
0
0
0
0
0
24
0
0
0
1
0
8
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
4
16
0
0
0
0
16
0
0
0
0
0
0
6
0
0
0
0
1
16
16
8
8
16
16
16
4
4
8
0
0
2
16
22
22
0
0
16
0
0
0
0
0
0
0
16
0
0
0
1
16
0
16
0
0
0
0
0
17
4
0
0
0
8
32
0
0
0
0
0
4
4
16
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
8
0
33
4
48
16
2
2
0
0
0
16
0
0
8
18
18
0
1
1
0
0
0
0
0
0
0
0
0
0
8
14
0
0
2
8
0
4
0
16
8
0
8
17
2
2
8
0
8
2
2
8
8
32
32
8
0
0
0
0
16
8
8
8
8
0
0
0
0
0
2
2
0
8
0
0
7
0
8
8
1
8
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
4
0
0
0
2
1
1
16
0
0
0
16
0
0
8
0
8
8
16
0
0
0
0
56
4
4
4
4
2
2
0
0
0
8
0
0
0
0
16
16
0
0
0
8
0
0
0
8
8
16
0
0
7
0
0
0
0
0
0
0
8
24
0
0
0
8
0
0
0
8
0
0
32
1
33
0
1
0
0
0
0
8
8
8
0
8
8
16
16
16
20
8
0
4
4
4
0
0
0
0
0
0
0
1
1
1
8
0
0
0
8
0
4
6
0
0
16
16
0
0
0
8
0
0
0
8
8
0
16
16
0
16
0
0
32
8
8
8
8
0
0
0
0
1
1
0
32
0
8
16
16
2
1
1
1
1
0
0
8
0
32
32
0
0
0
0
0
0
0
42
42
42
0
0
0
0
0
0
0
0
0
8
4
2
0
0
0
8
8
16
16
18
8
8
1
1
4
0
8
24
0
0
8
0
0
18
0
0
0
0
0
4
1
8
16
16
0
20
20
8
8
8
8
0
0
0
8
0
0
8
8
0
0
0
0
0
0
0
9
8
16
16
16
0
0
0
0
16
0
0
0
0
8
8
8
0
8
8
8
8
0
0
0
8
8
24
24
0
1
16
16
16
16
0
0
0
0
0
8
0
0
16
16
4
0
0
0
0
0
0
2
2
2
0
1
0
8
0
0
4
0
0
0
0
8
16
16
16
16
16
57
0
4
16
8
16
0
8
8
0
5
5
0
0
16
16
5
0
0
0
4
0
16
8
4
4
16
1
0
0
0
0
20
0
0
40
16
16
16
0
16
0
0
10
0
16
0
0
0
0
0
0
0
0
0
0
1
8
0
0
0
0
2
2
0
0
8
8
0
8
4
0
12
8
8
0
16
0
0
8
0
4
16
16
0
0
9
9
0
0
0
8
16
16
4
0
0
0
0
0
0
0
0
9
9
9
9
16
10
8
0
16
0
0
0
8
8
0
8
0
0
48
48
0
0
1
8
0
8
0
0
8
16
0
8
26
0
0
10
20
8
8
8
8
8
0
0
0
0
0
40
40
40
0
8
16
16
0
0
48
48
0
0
0
0
1
0
1
0
8
8
0
12
4
0
2
0
8
8
8
0
0
0
0
0
2
0
0
16
16
16
0
0
0
0
0
2
16
0
0
0
0
0
0
0
51
0
16
16
0
2
8
0
0
0
0
8
0
0
0
16
16
16
0
0
4
24
24
0
0
0
0
0
0
0
0
8
42
0
8
8
0
0
0
16
0
0
0
0
0
4
16
0
0
0
0
0
1
8
0
0
0
16
0
0
0
0
10
4
8
8
8
0
0
0
0
0
0
0
48
0
1
0
16
1
16
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
40
0
0
0
8
0
0
0
0
0
8
8
0
20
0
0
0
0
0
0
0
0
0
8
0
0
16
0
1
0
0
0
8
8
1
0
16
16
0
8
8
0
0
0
0
0
8
8
8
0
0
8
8
8
8
0
0
0
0
0
0
16
16
8
0
0
0
2
0
0
0
0
0
0
0
1
0
0
0
0
1
17
0
0
0
16
16
0
0
0
0
0
0
6
0
0
0
0
0
0
8
16
0
0
0
8
8
8
8
0
8
8
0
12
12
12
12
0
8
8
0
0
0
8
8
0
0
8
8
8
0
32
16
16
16
0
8
8
0
16
16
8
8
0
8
8
16
0
0
0
8
0
0
16
0
1
0
0
0
16
0
0
0
0
0
0
0
0
16
0
24
0
4
0
8
8
0
0
0
0
0
8
0
0
0
0
8
4
8
0
8
0
4
0
0
0
16
0
1
1
1
0
6
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
8
0
1
1
1
2
8
0
0
0
16
8
0
1
8
24
1
16
2
2
0
0
8
16
0
0
0
0
0
1
0
0
16
0
0
0
16
0
16
0
0
16
8
8
8
8
0
17
0
0
0
0
2
0
0
0
0
0
0
0
0
8
4
4
0
0
0
0
4
17
0
0
0
0
0
0
32
0
0
0
8
8
0
0
4
8
16
16
16
16
8
0
0
0
32
32
0
16
0
0
0
8
8
0
24
0
8
0
8
8
0
0
0
0
0
4
0
8
8
0
20
20
20
0
0
0
0
0
0
50
16
0
0
16
16
16
16
16
16
0
0
0
56
17
8
0
8
8
0
0
16
0
0
1
0
24
4
0
0
0
32
8
0
0
24
16
0
2
2
0
21
21
0
16
0
0
2
16
0
0
4
8
8
1
0
1
4
2
8
0
0
2
0
8
8
6
2
0
0
0
28
34
0
0
1
0
16
13
4
4
0
0
1
8
0
0
0
0
8
0
0
24
8
1
8
8
8
8
8
8
8
0
0
4
0
0
16
0
16
16
2
0
0
16
0
0
16
0
16
8
0
0
0
7
32
0
0
0
0
0
1
0
0
0
0
0
0
0
0
16
0
17
17
0
0
16
16
0
0
12
16
0
8
1
0
0
0
0
0
0
0
24
2
0
0
0
0
8
16
16
16
16
16
0
0
0
16
16
2
2
2
4
4
1
8
8
8
16
0
0
0
8
0
8
16
16
0
0
0
0
0
0
4
0
0
32
0
0
1
0
0
4
0
0
8
8
0
0
0
8
0
8
8
24
24
0
0
1
0
0
4
0
0
0
2
4
0
0
4
0
0
0
0
0
0
26
0
2
2
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
4
0
4
8
8
0
0
0
0
0
0
0
0
16
20
24
17
0
0
16
0
0
0
8
0
0
0
16
0
0
0
0
0
8
8
0
0
4
8
16
0
17
0
9
16
16
0
24
16
1
0
0
0
17
0
0
4
4
0
32
32
0
18
0
8
8
0
0
0
0
0
0
0
0
0
0
0
8
0
6
0
16
16
2
0
0
0
1
16
0
0
0
0
0
0
0
24
0
0
0
0
0
2
0
0
40
40
1
0
8
0
0
8
8
0
0
4
0
8
3
0
8
16
8
2
2
2
8
8
32
8
0
48
8
0
0
0
0
0
0
0
0
0
32
8
8
2
8
8
4
25
0
0
0
0
16
0
8
0
8
0
0
8
8
16
0
4
0
8
4
0
0
0
0
8
0
8
8
0
30
0
0
20
20
0
8
8
16
0
0
32
0
0
0
0
4
4
0
0
16
0
0
0
8
0
0
0
0
0
40
0
0
0
0
0
48
0
0
0
0
0
16
16
0
0
2
0
1
0
8
0
0
0
0
0
0
19
6
0
0
2
0
0
8
0
4
16
16
8
8
32
0
4
6
0
24
8
8
0
0
0
0
0
0
0
0
4
1
0
0
0
0
0
0
1
1
1
1
1
16
16
16
16
0
0
0
4
4
4
2
8
17
21
1
9
16
16
16
0
8
8
8
0
8
0
10
0
0
16
0
16
0
0
0
0
0
0
8
8
4
0
8
4
24
24
33
33
0
8
20
20
16
8
8
0
0
0
2
0
8
10
24
0
0
0
2
2
16
0
0
8
8
0
0
0
1
0
8
8
0
0
8
0
0
0
9
0
0
0
48
8
8
8
0
0
0
8
16
32
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
8
0
0
0
0
0
0
0
0
0
8
0
0
0
16
16
32
0
8
0
16
0
0
0
24
24
8
8
8
0
0
0
0
0
0
8
16
21
8
24
0
16
0
0
1
0
0
0
0
32
20
0
8
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
16
0
16
0
0
0
8
0
0
0
0
0
0
0
16
8
8
8
8
24
0
0
0
0
0
0
0
0
0
8
8
16
0
0
0
8
0
8
0
0
2
0
0
0
0
0
0
0
3
0
8
16
0
0
16
0
8
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
1
0
0
0
8
10
10
0
0
0
0
0
0
0
0
0
0
0
16
16
4
0
0
0
0
0
0
0
0
8
8
8
8
0
0
0
0
0
0
0
20
16
0
0
0
0
0
0
0
0
0
0
0
16
16
16
0
0
0
1
1
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
12
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
8
0
8
0
0
0
0
0
0
0
8
8
8
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
25
25
8
0
0
0
0
0
0
0
0
16
0
8
8
0
0
0
0
2
2
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
24
24
0
0
0
0
0
0
0
0
32
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
14
14
16
0
0
0
0
4
4
4
4
8
0
8
8
8
8
20
16
16
16
16
16
0
0
0
0
0
0
8
8
0
1
0
0
9
16
0
24
0
0
0
8
8
0
0
26
26
0
8
0
8
8
8
0
0
0
16
16
0
0
0
8
16
0
0
0
0
0
28
0
0
0
0
0
17
17
0
0
0
0
0
0
0
0
0
24
24
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
2
16
0
0
0
0
16
0
0
0
4
4
16
0
0
0
0
0
16
0
4
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
16
8
0
16
0
0
0
0
0
8
8
16
1
1
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
1
0
8
0
0
0
0
2
0
0
0
0
0
4
0
0
0
2
0
0
0
0
0
8
8
8
4
0
8
8
8
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
8
0
6
0
0
8
8
0
0
0
0
0
0
16
0
0
0
0
0
0
25
0
0
16
16
1
0
0
0
0
0
2
2
0
17
0
0
0
0
0
0
0
0
0
0
1
0
2
0
0
0
0
0
0
0
16
0
8
0
0
0
0
0
1
0
0
0
0
0
0
0
20
0
0
0
0
0
4
4
0
0
8
0
0
0
0
0
4
0
0
0
8
0
0
8
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
4
4
0
0
0
0
16
0
0
4
0
0
0
2
0
0
7
7
0
1
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
21
0
0
8
8
0
0
0
16
0
2
16
1
1
0
0
0
0
0
0
0
0
0
16
16
16
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
4
8
0
0
8
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
2
2
0
16
0
2
0
0
12
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
8
8
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
16
0
0
33
0
0
0
0
0
0
0
0
16
8
8
0
0
0
0
0
0
0
0
16
0
41
41
0
8
8
1
1
8
8
0
0
0
0
0
0
0
0
0
4
0
0
8
0
32
0
0
0
0
0
16
1
0
8
0
0
0
0
0
0
0
0
0
0
16
16
0
2
2
8
16
0
0
0
0
0
0
0
0
0
0
0
12
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
16
0
0
0
0
16
0
0
0
16
2
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
8
8
2
2
2
0
0
0
0
0
8
8
16
8
2
1
0
0
0
8
4
0
0
0
60
0
0
4
0
0
16
16
0
0
0
0
0
0
0
0
0
0
16
0
0
8
0
0
0
0
0
0
8
0
0
0
0
0
0
1
1
0
0
0
8
0
0
0
0
0
0
16
16
16
0
0
60
0
0
0
0
0
16
16
0
0
8
0
0
4
4
0
0
0
0
0
0
0
8
8
0
0
0
8
0
12
0
0
0
0
0
4
0
0
4
9
9
0
0
12
12
0
0
0
16
0
0
0
4
16
16
16
0
0
0
8
8
0
0
0
1
0
0
0
0
0
0
0
0
0
16
0
0
2
2
0
16
0
0
1
0
0
8
0
0
8
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
1
0
0
0
0
0
0
8
0
0
0
16
0
4
4
16
0
16
0
0
0
16
0
0
0
0
0
0
8
8
8
8
0
0
0
0
0
0
0
0
0
8
0
4
0
0
0
4
0
16
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
8
1
0
1
0
0
0
0
8
8
4
0
0
0
0
8
0
0
16
0
26
4
0
0
0
24
24
24
0
0
0
16
0
0
16
0
0
0
0
24
24
24
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
16
1
0
0
0
0
0
16
0
0
25
25
0
10
8
0
0
0
0
2
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
4
4
0
0
4
4
0
8
0
0
8
8
8
0
0
0
0
0
0
0
0
0
4
16
16
0
4
0
0
8
0
0
17
17
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
9
0
0
0
0
0
0
0
0
0
0
0
4
4
0
0
16
16
16
0
4
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
2
2
0
0
0
0
0
4
4
0
0
28
16
0
0
8
8
0
16
1
0
0
0
4
0
0
16
16
0
0
0
8
16
16
0
0
8
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
2
8
0
8
16
0
8
0
0
0
0
0
0
0
2
0
0
17
17
17
0
0
0
0
0
0
8
0
16
0
0
0
0
16
0
0
8
8
8
0
0
0
0
4
32
1
0
24
0
0
0
0
0
0
0
16
0
0
0
0
8
8
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
25
25
0
16
0
8
0
11
0
0
0
8
8
0
0
0
0
0
8
8
0
0
0
16
0
0
0
0
0
0
4
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
4
4
24
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
4
4
0
34
0
0
0
8
0
0
0
0
16
4
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
24
9
0
0
0
0
0
4
16
0
0
0
0
0
0
0
0
0
8
2
2
0
0
0
0
0
0
0
0
16
0
1
0
0
0
0
0
16
0
4
0
0
0
0
0
0
0
32
0
0
0
0
0
0
0
1
1
1
1
16
8
8
8
8
0
0
28
28
0
1
1
0
0
0
0
1
1
0
0
0
6
6
0
8
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
8
0
0
0
0
0
0
0
0
4
8
8
0
8
0
0
0
0
0
0
18
0
0
0
0
0
2
2
0
4
22
22
0
0
0
0
0
0
0
0
0
0
8
0
0
0
8
0
9
0
0
0
0
0
8
0
20
20
0
0
0
0
4
0
8
21
32
16
0
0
0
0
0
0
0
40
0
0
0
2
0
0
0
0
0
0
0
0
16
0
1
0
8
0
0
0
0
8
0
0
0
0
57
8
0
0
0
0
0
0
0
24
24
0
16
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
0
0
0
0
24
0
0
0
0
0
0
0
1
0
0
0
42
0
0
32
32
32
32
0
0
3
3
0
0
0
12
0
0
0
0
0
0
0
0
0
8
8
0
0
8
0
0
0
0
25
0
0
0
0
0
32
0
0
0
0
0
16
8
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
32
32
32
0
0
8
0
8
8
8
0
0
20
20
20
0
0
0
0
0
0
0
0
0
0
0
0
0
24
0
4
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
8
24
60
0
16
0
0
2
0
0
0
0
16
8
16
0
0
0
0
8
0
0
0
0
16
16
2
16
16
16
38
12
16
0
0
0
0
0
0
0
0
0
0
0
8
0
0
36
36
8
0
24
0
0
8
24
0
8
16
0
25
25
25
2
2
8
0
2
1
0
0
0
24
16
0
8
8
8
8
0
0
2
2
0
0
16
0
0
4
4
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
16
0
0
0
16
4
0
0
1
1
8
8
8
0
16
16
16
2
2
0
4
16
0
8
8
0
0
0
32
32
8
16
0
16
16
24
8
4
0
8
0
0
0
2
0
0
0
0
0
0
0
2
40
0
0
0
0
0
0
8
0
2
16
8
0
0
8
0
0
0
24
0
1
16
0
24
0
8
0
2
2
16
16
0
0
32
18
18
18
8
8
0
0
4
0
0
0
0
4
4
8
4
0
0
8
8
8
8
8
8
0
0
0
0
16
16
16
8
8
8
0
0
2
17
0
0
0
8
8
8
16
1
0
0
0
0
0
0
10
16
2
8
0
8
0
0
8
0
0
0
0
0
8
8
1
0
0
8
0
0
0
0
19
0
16
32
0
10
0
8
32
32
0
0
0
0
16
16
0
32
0
0
16
0
16
8
8
0
0
0
0
1
0
0
0
4
4
4
4
32
0
16
4
4
0
16
16
8
8
8
0
0
0
16
16
16
0
0
8
0
1
16
0
3
3
0
4
0
0
8
0
0
0
0
0
0
0
0
0
17
17
0
16
0
0
0
8
0
0
0
0
0
0
0
0
8
0
8
8
8
0
16
8
0
0
0
16
0
0
20
16
8
8
8
8
0
0
10
0
0
0
0
0
2
0
0
0
1
0
16
2
16
0
16
10
9
0
0
16
0
16
8
0
0
0
0
0
12
12
12
12
0
0
8
17
2
8
8
8
8
8
8
0
1
8
0
0
0
0
0
8
16
0
0
0
0
8
0
0
16
52
20
24
24
0
8
0
0
16
8
0
8
8
0
9
0
0
1
1
1
32
0
0
0
0
0
24
1
16
0
0
0
8
4
2
16
4
0
0
0
16
2
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
2
8
1
0
0
0
4
4
0
16
16
0
8
19
0
2
8
16
4
16
4
1
0
0
0
8
1
1
16
16
0
0
8
24
0
8
8
8
0
0
0
0
0
20
16
8
0
0
0
0
0
16
0
0
32
32
4
4
0
0
0
0
0
0
0
32
1
8
8
8
0
16
16
0
1
0
0
0
8
8
0
0
0
0
0
0
24
16
0
0
0
0
0
1
0
0
16
8
2
2
0
0
0
0
0
8
0
12
8
0
0
0
8
6
0
0
0
8
0
0
0
0
0
0
4
19
8
8
8
0
8
4
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
16
0
0
8
32
5
11
11
0
0
0
2
0
0
0
8
8
8
4
0
0
0
4
2
2
0
0
16
8
0
0
0
16
0
0
32
0
0
0
8
0
16
16
16
0
0
0
16
8
0
0
0
0
0
0
8
0
0
0
16
1
0
16
8
0
0
0
18
0
0
0
16
0
0
0
0
0
8
8
26
8
4
0
0
0
0
0
0
0
1
1
1
8
0
0
0
8
8
8
2
2
0
0
8
8
8
0
0
0
0
0
10
0
0
0
8
8
0
0
16
0
0
24
0
0
16
8
8
40
0
0
0
0
0
0
0
0
0
0
16
0
2
0
0
0
0
0
8
16
1
1
1
0
0
0
4
0
20
0
2
8
16
16
32
16
8
0
8
8
4
0
0
0
0
0
0
8
8
4
0
0
2
0
0
0
16
0
0
0
16
0
8
8
2
0
0
0
0
0
1
8
8
0
4
0
8
16
0
0
0
0
16
16
0
0
0
0
0
0
1
1
1
4
0
0
0
0
8
8
4
1
0
1
0
8
16
25
0
0
0
0
16
8
0
0
0
0
0
8
0
0
0
0
0
0
8
0
0
8
8
8
8
8
8
0
1
8
4
0
0
0
20
20
0
24
0
0
0
0
0
0
0
8
8
0
0
16
0
0
0
0
0
0
0
0
0
4
0
0
16
8
16
2
2
0
0
0
0
8
16
0
0
0
0
2
2
5
2
0
0
8
8
1
8
8
8
0
0
0
16
8
0
0
0
0
0
16
32
0
0
0
16
8
0
32
0
8
0
0
0
8
0
0
0
22
8
0
0
0
8
0
0
3
0
0
4
4
0
0
16
16
4
0
0
1
4
4
8
8
0
8
4
8
0
0
16
16
0
0
8
8
8
14
8
8
8
0
0
16
16
8
8
1
1
8
8
8
2
1
8
0
1
16
0
0
0
1
0
0
0
32
32
0
4
0
8
8
0
0
0
0
8
0
0
0
0
4
6
6
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
2
0
8
0
0
0
0
0
8
0
0
8
8
16
0
0
0
0
0
8
2
0
0
1
8
8
0
0
0
0
0
2
8
0
1
0
28
16
0
0
0
0
0
12
0
0
2
4
0
0
0
0
8
0
0
0
1
1
8
0
4
24
0
0
0
0
0
0
4
0
0
0
0
0
1
1
0
0
0
8
9
0
0
0
25
0
16
0
0
0
0
16
8
16
2
0
0
0
0
0
0
8
32
0
0
0
0
1
1
1
8
0
0
8
0
0
0
8
0
8
4
0
8
8
0
0
0
4
0
0
0
8
0
0
0
1
16
0
0
8
8
0
0
0
0
8
0
8
0
0
0
0
0
0
8
0
8
0
0
0
8
8
16
8
8
8
45
0
8
16
16
16
0
0
8
8
0
0
0
0
16
8
1
0
0
0
0
0
0
0
0
0
0
0
0
0
8
4
16
8
16
0
4
8
2
0
0
0
0
8
8
8
0
24
24
24
0
0
0
16
16
16
16
16
4
4
8
0
8
8
0
4
0
0
0
0
8
8
0
0
0
40
40
8
8
8
0
1
1
0
0
8
0
8
0
0
16
24
0
8
0
0
0
0
8
0
2
0
24
3
3
0
2
0
0
0
0
0
8
8
4
0
0
8
0
2
0
0
2
21
16
0
4
3
3
0
1
0
0
0
0
0
8
1
0
0
0
0
0
0
0
16
0
0
0
0
16
16
0
0
18
8
8
8
8
16
0
8
8
8
8
8
16
8
1
0
0
0
6
0
0
2
2
0
8
8
8
0
8
8
0
0
16
16
16
28
28
16
8
0
0
0
8
0
2
2
2
1
1
0
0
0
0
16
0
0
0
16
48
1
8
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
8
0
0
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
8
4
0
21
16
0
0
0
0
0
4
16
8
24
0
0
8
8
8
4
0
8
0
4
0
0
0
8
8
8
0
1
0
8
0
12
0
0
8
0
0
0
0
8
0
32
32
16
2
2
0
16
0
0
8
0
0
16
16
16
0
0
0
0
8
0
0
0
0
8
2
2
0
1
1
1
8
0
4
16
16
8
18
18
18
0
8
8
8
8
8
8
8
0
0
0
0
0
24
16
12
0
0
8
40
0
1
1
8
8
8
16
1
1
1
1
1
0
0
0
0
0
21
0
0
0
0
0
0
0
0
8
8
8
8
8
0
0
32
0
8
4
4
4
4
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
8
0
1
0
8
8
1
1
1
0
0
0
0
0
0
8
0
0
0
9
0
16
16
0
0
0
0
0
1
0
16
16
0
0
0
0
0
28
8
1
16
0
0
0
8
8
0
8
8
0
0
12
0
0
0
0
16
16
2
0
0
1
0
0
8
16
0
0
8
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
8
18
0
16
16
0
8
0
8
8
16
16
0
0
0
0
0
8
0
0
0
0
0
0
0
16
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
20
8
8
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
1
0
24
24
24
24
27
0
16
0
16
16
0
2
0
25
0
16
4
4
4
0
0
1
0
0
0
0
0
0
0
0
16
16
16
0
0
0
0
0
0
24
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
17
0
0
0
0
0
0
0
0
0
0
4
4
4
0
2
0
0
0
0
16
16
8
8
0
0
0
0
0
0
0
0
6
0
0
0
0
0
0
0
16
16
0
0
0
0
0
8
0
0
0
0
0
0
0
0
8
8
18
0
0
0
0
0
0
0
0
24
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
8
0
0
0
0
8
0
0
0
0
8
0
0
31
0
8
0
0
0
0
2
0
1
1
0
0
0
0
2
0
0
16
16
4
4
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
12
0
18
0
0
0
0
8
24
0
0
0
0
0
1
0
0
8
8
0
0
0
0
0
0
16
8
8
0
0
17
0
0
4
0
16
8
0
0
0
0
0
0
0
0
0
0
0
0
2
1
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
16
0
40
2
0
0
0
8
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
4
0
0
24
24
0
8
25
0
0
0
0
0
0
0
1
1
0
0
0
0
41
41
0
0
0
0
1
0
0
0
0
0
9
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
16
16
16
6
0
8
12
0
0
0
0
0
28
16
16
0
0
16
16
16
0
0
0
0
0
0
8
8
8
0
8
0
0
8
0
8
0
0
0
0
16
16
0
0
0
0
0
37
37
0
0
4
0
0
0
4
18
16
0
0
0
0
0
0
0
0
0
0
16
0
0
0
16
0
0
22
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
16
16
16
16
16
0
1
16
0
0
0
0
8
0
0
0
0
0
0
8
0
0
16
16
8
0
0
0
0
49
0
4
16
0
0
8
0
8
0
0
4
0
0
0
8
8
12
0
0
0
4
0
20
16
8
8
0
0
0
0
8
0
0
0
8
8
0
0
0
0
8
8
0
0
0
0
0
0
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
2
0
16
0
0
6
8
20
2
2
0
16
0
0
0
0
0
0
2
0
0
0
0
28
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
16
0
0
12
0
16
0
0
0
0
0
0
0
0
0
0
0
0
16
0
8
1
0
0
0
24
0
0
0
8
8
4
4
0
0
0
0
0
0
0
28
8
0
0
0
0
0
0
0
0
0
24
0
2
0
0
0
0
0
0
0
0
0
0
0
8
0
0
8
8
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
49
0
0
12
12
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
5
5
0
0
1
16
1
0
0
0
0
0
0
0
0
0
0
24
0
32
8
0
0
0
0
0
0
0
0
8
0
0
0
4
0
0
0
0
0
0
2
0
0
0
0
0
9
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
16
0
0
0
0
0
0
0
0
16
0
4
0
0
0
8
8
8
0
0
0
8
8
0
24
0
0
0
0
0
1
4
8
4
0
0
0
14
0
0
0
8
8
0
0
0
8
8
8
8
8
8
8
0
0
0
24
0
0
0
0
0
0
1
0
0
8
0
0
2
0
0
0
0
0
0
8
0
16
0
0
0
0
0
0
0
8
8
0
0
16
16
0
0
0
0
22
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
8
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
16
0
2
0
0
0
0
0
0
0
0
0
16
0
8
8
16
0
8
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
8
8
0
0
0
0
0
0
16
0
0
0
0
0
0
2
0
0
0
0
0
0
41
41
0
0
0
0
0
0
0
0
0
0
0
0
4
4
0
16
0
0
4
0
8
0
0
0
0
0
8
0
0
1
0
0
0
0
36
0
0
0
8
0
0
0
0
0
0
0
8
16
16
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
0
16
0
28
0
16
5
0
0
0
0
0
0
0
0
0
4
0
0
0
4
0
0
0
2
0
0
0
0
0
16
0
8
8
0
6
4
4
16
16
50
0
0
0
0
2
0
0
2
0
2
0
24
0
8
0
0
8
0
0
0
0
0
0
8
0
0
0
8
8
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
9
0
0
8
0
0
22
8
8
16
4
0
0
0
0
0
0
0
16
16
8
8
8
0
0
8
8
0
0
0
0
0
0
0
0
2
8
8
0
0
8
8
0
0
2
0
0
0
16
0
0
4
0
4
0
0
0
8
16
16
0
8
0
0
0
0
0
0
0
0
0
0
24
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
24
0
0
0
1
0
8
1
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
8
0
0
8
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
8
32
0
0
0
8
0
0
0
8
0
0
0
0
0
62
62
0
0
0
0
0
0
16
0
0
0
0
0
4
4
0
8
8
8
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
8
0
0
0
0
17
0
8
0
0
0
0
0
12
0
0
0
0
16
0
8
0
0
0
0
8
0
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
1
0
8
8
8
8
0
0
0
0
0
0
0
0
0
0
2
16
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
8
0
0
0
4
4
0
0
0
32
0
9
0
0
0
0
0
0
4
4
0
8
0
16
20
0
0
1
8
8
0
0
0
0
0
0
4
0
0
0
16
22
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
32
32
0
0
0
0
0
0
0
8
0
0
6
0
0
0
0
8
8
8
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
8
0
0
8
8
1
0
0
0
0
0
4
4
4
4
4
4
0
16
0
1
1
0
4
0
0
0
0
0
0
0
1
0
0
8
0
0
0
0
0
0
0
4
16
0
16
0
0
16
16
0
0
0
0
0
0
24
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
6
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
8
0
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
33
33
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
6
0
0
1
1
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
4
4
0
0
0
0
0
0
8
0
0
0
8
0
0
6
6
6
2
0
0
0
0
16
0
16
16
16
1
1
1
1
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
4
0
16
8
8
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
4
0
0
0
8
0
0
0
2
0
0
16
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
8
0
2
0
8
0
0
0
12
0
0
0
0
0
4
4
4
0
0
8
4
1
0
0
0
0
0
0
0
0
0
0
1
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
32
0
0
0
8
8
8
0
0
0
16
0
0
4
14
0
4
8
0
0
0
0
0
8
0
0
0
1
1
0
0
16
0
0
0
0
0
1
0
0
0
0
0
0
4
16
16
0
0
0
0
0
0
0
0
0
56
0
8
8
0
16
2
2
0
4
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
6
6
6
0
8
8
0
0
0
0
0
0
0
0
0
0
0
4
28
0
0
0
9
20
8
8
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
32
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
8
8
0
0
25
0
29
0
0
0
0
0
0
0
0
16
0
0
0
8
0
0
0
0
6
0
0
0
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
8
8
0
0
32
0
16
0
16
16
0
0
0
0
0
0
0
0
24
24
0
0
32
0
0
0
0
8
8
2
16
16
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
8
0
8
0
16
0
12
16
0
0
1
0
21
21
0
0
0
0
0
16
16
16
0
0
16
0
8
0
0
0
0
0
0
0
0
0
16
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
8
0
4
24
24
0
0
0
0
0
0
2
2
1
0
0
0
0
0
8
2
0
0
0
2
24
24
0
16
34
34
0
0
0
8
0
0
0
0
0
0
0
0
0
17
0
0
0
0
0
0
0
8
8
0
1
0
0
0
8
0
0
0
0
32
32
0
0
0
16
0
0
1
1
0
0
0
8
8
0
20
0
0
0
0
32
16
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
16
0
0
0
0
0
0
0
16
0
0
0
1
0
5
17
0
0
5
5
0
0
0
0
0
8
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
16
0
0
0
0
0
0
0
2
0
0
0
21
0
0
0
0
0
0
8
8
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
32
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
4
4
0
0
0
0
0
0
0
0
0
0
0
24
0
0
16
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
18
16
16
0
0
8
22
8
0
0
0
0
0
0
0
16
4
0
0
2
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
16
16
0
0
0
0
0
8
17
0
0
0
0
1
24
8
8
8
2
8
0
0
8
0
8
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
16
0
0
0
0
4
0
0
0
0
0
24
24
24
24
0
0
8
0
8
0
0
0
0
0
4
0
8
0
4
4
4
4
0
0
0
0
0
0
0
0
0
0
0
0
8
0
1
0
4
32
0
10
10
4
0
0
0
0
0
0
8
8
2
16
0
0
0
0
0
0
16
16
0
0
0
20
8
0
0
0
0
0
0
12
0
0
0
16
17
0
0
8
0
8
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
16
0
0
16
0
16
0
0
0
0
0
0
0
0
8
8
8
0
5
0
0
0
0
0
0
18
0
0
0
0
0
3
16
16
4
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
57
0
0
0
0
0
0
0
0
0
0
0
0
24
0
0
16
16
16
16
4
4
4
10
10
0
0
1
0
0
0
0
0
0
0
0
0
20
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
16
0
0
0
0
16
0
0
8
1
0
0
0
2
0
0
4
0
16
16
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
8
8
8
0
8
8
8
0
16
0
0
0
6
0
0
2
0
8
0
0
0
0
0
16
16
0
0
0
0
0
0
1
4
0
8
0
0
0
0
0
0
0
8
5
0
0
16
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
17
0
0
0
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
8
0
0
20
20
20
0
0
8
0
0
0
0
0
0
0
0
8
8
8
16
1
0
0
0
0
8
0
0
0
14
0
0
0
0
0
0
0
0
0
0
0
16
0
0
8
0
20
4
0
16
16
0
40
0
0
0
0
0
0
24
24
0
0
0
8
8
8
0
0
0
0
0
0
0
0
1
0
0
0
10
16
0
0
0
0
0
0
5
0
0
16
0
8
24
20
0
4
0
0
0
0
0
4
0
0
0
0
8
8
36
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
8
0
0
0
0
18
18
0
0
0
0
0
0
0
0
0
0
0
0
0
0
58
8
0
0
0
0
0
0
0
13
0
1
0
0
0
0
0
0
1
1
0
0
0
0
8
0
0
4
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
8
8
0
0
8
0
4
4
4
0
8
0
0
8
0
0
0
0
0
0
0
0
0
8
0
0
4
4
0
0
0
8
1
0
0
8
8
0
0
0
0
0
8
0
0
0
0
0
17
8
0
0
0
0
0
0
17
0
0
0
0
0
0
0
0
0
0
8
0
0
8
0
8
0
0
0
0
0
0
0
8
0
2
8
8
0
0
8
8
0
0
0
40
0
0
12
0
0
0
0
0
0
2
0
8
0
0
0
0
0
8
8
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
10
10
0
0
0
0
8
24
24
0
2
2
0
8
10
0
33
0
0
0
0
0
0
0
0
0
0
0
16
16
16
0
24
4
0
0
0
0
0
8
4
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
16
8
0
16
8
8
0
0
0
1
0
0
2
0
0
0
8
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
0
0
15
15
0
0
8
0
7
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
8
8
0
0
0
0
0
0
0
4
4
0
0
0
0
0
28
0
0
16
0
0
0
0
0
0
0
0
16
0
0
0
10
10
16
0
1
0
8
0
0
0
0
0
0
0
0
8
6
6
6
6
6
0
0
0
0
8
0
36
0
0
0
8
8
0
0
0
8
0
0
0
1
0
0
4
8
0
0
0
8
8
16
0
0
0
0
16
0
0
0
0
16
0
8
8
0
16
0
0
0
4
4
4
0
0
0
0
0
0
0
0
8
16
16
16
16
16
0
4
4
24
1
0
0
0
0
16
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
24
16
0
0
2
1
8
0
26
0
0
0
0
4
0
4
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
25
25
0
1
0
16
0
0
0
0
0
0
4
0
0
0
0
0
0
4
0
8
8
8
8
0
4
16
0
0
0
0
0
0
24
24
0
4
2
16
16
16
0
0
24
8
0
8
0
0
0
0
12
12
4
4
4
0
0
0
0
0
0
0
9
0
0
4
0
0
0
0
0
8
8
0
8
8
8
0
0
8
0
0
0
0
0
8
0
0
0
0
0
0
4
10
0
16
16
16
8
1
0
16
16
0
0
16
0
0
4
1
0
1
0
0
0
0
0
0
0
0
0
0
0
20
0
0
8
22
0
0
0
0
21
0
0
1
0
0
0
24
24
16
0
4
8
0
0
0
0
8
0
0
0
0
0
4
0
0
0
0
2
2
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
8
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
8
0
0
8
8
0
0
0
0
0
0
0
0
0
1
0
16
0
1
0
4
37
8
0
0
0
1
0
0
0
16
16
16
0
1
4
8
8
8
8
0
0
0
0
0
0
0
0
0
0
0
1
0
0
8
0
0
16
0
8
0
0
0
0
20
20
0
0
4
8
24
2
0
16
16
0
0
0
0
0
8
16
0
0
0
8
0
0
0
0
16
1
0
0
4
0
0
0
16
16
16
16
16
16
0
0
0
0
0
8
8
0
0
0
0
0
0
8
0
0
8
40
40
8
0
18
8
16
0
0
8
8
0
0
8
8
8
0
0
2
2
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
16
0
0
24
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
0
0
0
0
0
0
8
0
0
2
0
0
0
8
0
0
0
0
8
8
0
0
0
18
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
36
8
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
4
0
0
0
12
0
0
1
0
0
0
0
0
0
0
4
4
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
8
0
0
0
24
0
0
8
0
0
22
8
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
8
8
0
0
0
8
0
0
16
6
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
16
0
0
0
0
0
0
0
24
0
8
0
0
0
0
0
0
0
0
24
0
0
16
0
16
8
8
4
0
24
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
40
0
0
1
0
0
0
0
0
0
8
0
32
4
8
0
16
0
0
0
0
0
0
0
8
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
0
8
0
18
16
0
0
0
0
0
0
25
25
25
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
16
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
16
0
0
0
0
0
4
1
0
0
0
4
4
0
0
8
0
0
8
8
0
8
8
0
8
0
20
0
16
0
0
0
0
0
4
0
0
0
0
0
0
0
16
0
0
0
0
8
0
0
2
0
18
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
8
0
0
0
8
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
20
20
0
40
0
0
0
0
0
24
24
0
0
0
8
8
8
0
0
0
0
32
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
0
0
0
0
8
8
0
1
0
16
16
0
44
0
0
0
0
0
0
0
0
0
18
4
8
0
0
0
0
0
0
0
0
0
0
0
8
0
18
18
0
2
0
4
0
16
0
0
0
0
0
0
0
0
0
0
0
0
17
17
8
8
8
8
0
0
0
0
0
0
0
0
0
1
1
0
0
0
32
32
0
16
0
0
0
4
0
0
0
0
0
0
0
0
0
0
32
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
6
0
0
16
0
0
0
0
0
16
0
8
0
0
0
0
0
0
0
0
0
33
0
0
0
0
0
0
0
20
0
0
0
0
0
24
2
0
0
0
0
0
24
8
2
0
0
0
4
0
3
0
0
0
0
0
0
0
0
16
1
16
8
0
0
0
0
0
0
8
8
0
8
0
8
4
4
0
0
0
2
0
0
8
4
12
0
0
20
0
0
0
0
0
4
4
0
16
16
0
32
0
0
2
5
8
0
0
0
8
0
0
53
16
16
0
0
0
0
0
0
4
4
0
0
0
0
0
8
0
20
16
8
0
16
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
16
16
0
0
4
0
0
12
0
0
6
6
6
6
8
0
0
0
0
0
0
0
1
0
0
18
18
18
0
8
8
0
0
0
0
1
8
8
8
0
0
0
0
0
16
32
0
0
0
0
4
1
0
0
0
16
0
0
0
0
16
0
16
0
0
4
16
16
8
8
8
8
0
0
10
40
48
18
0
16
16
0
0
0
8
8
0
0
2
0
0
8
16
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
28
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
21
21
21
8
8
0
16
0
16
0
0
16
4
0
0
0
8
8
0
0
8
8
19
0
8
8
0
0
0
0
16
0
8
8
8
0
0
21
21
21
21
21
0
0
0
0
0
2
0
0
0
4
0
16
0
0
16
0
2
16
0
0
0
0
0
0
0
8
0
8
16
28
12
0
16
0
0
8
0
0
8
0
17
0
0
0
0
0
0
8
8
8
12
0
4
8
16
1
0
17
1
2
16
0
12
0
0
8
8
0
0
4
0
6
0
8
2
0
0
0
0
32
0
8
8
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
0
8
8
1
0
0
0
0
0
2
0
0
0
0
0
4
0
0
0
0
0
9
4
1
1
0
0
0
16
16
21
0
0
0
16
0
16
8
8
8
0
32
2
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
2
8
0
0
0
16
0
0
8
0
8
4
0
0
0
0
0
0
0
0
2
2
2
20
24
4
0
8
16
16
8
0
0
0
0
0
0
8
16
0
0
0
0
4
4
0
0
0
8
0
20
0
8
1
0
0
16
0
8
0
4
8
0
4
8
0
0
0
0
8
0
0
0
0
0
8
16
16
0
0
8
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
8
0
0
0
0
0
0
32
0
0
0
0
0
16
16
16
16
16
16
16
16
8
8
16
0
0
0
0
0
8
0
0
0
0
0
0
2
0
0
20
16
16
0
4
0
8
0
0
0
0
0
6
4
0
0
0
0
0
8
8
8
0
0
4
4
4
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
32
0
0
0
0
8
8
16
2
2
0
0
0
0
0
0
16
0
0
0
4
0
1
1
0
0
8
8
8
0
8
0
8
0
0
0
0
0
0
8
8
1
1
0
32
0
0
22
16
0
0
8
8
0
0
20
0
8
8
0
0
0
0
16
0
0
0
0
0
0
0
8
0
1
16
4
4
8
16
0
0
0
0
8
16
0
0
4
8
0
8
8
0
0
0
0
0
0
0
0
0
0
16
16
16
0
16
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
4
8
0
4
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
4
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
0
8
16
16
0
0
0
0
0
0
0
0
0
0
0
32
1
8
8
8
8
8
8
8
0
4
0
0
0
0
0
0
0
24
0
0
2
8
8
0
16
16
16
0
4
4
4
0
0
0
2
4
0
2
2
0
8
16
0
0
8
0
0
0
0
0
10
10
0
8
8
0
8
32
4
4
16
16
33
0
0
0
8
0
0
0
0
0
0
0
8
8
8
0
4
0
0
16
16
8
0
1
0
8
8
8
8
8
1
0
1
8
1
8
8
0
0
0
0
8
8
8
8
8
8
8
2
0
0
0
0
0
0
16
0
0
8
8
0
0
0
0
0
0
8
8
8
0
8
0
8
0
0
8
2
2
8
0
0
0
16
0
0
0
0
0
4
4
0
0
8
8
0
16
0
0
0
0
0
8
0
0
8
8
8
8
0
0
0
0
0
0
0
8
0
0
1
0
16
0
16
32
32
0
0
0
0
0
8
16
16
9
9
0
8
16
0
0
16
4
4
0
8
8
0
0
0
0
0
0
0
8
12
0
0
16
18
0
16
16
0
0
17
0
0
32
0
0
0
0
0
0
0
0
0
8
0
16
0
0
0
0
0
32
6
0
0
0
0
0
0
8
8
24
0
4
4
4
32
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
4
0
16
0
0
0
0
26
2
8
8
0
16
2
2
8
16
0
16
0
0
0
0
0
0
0
0
0
0
16
0
0
16
0
8
8
8
0
0
0
8
0
16
0
0
0
8
8
16
2
2
0
0
0
0
0
0
0
0
1
0
1
1
2
0
0
16
0
0
8
0
0
40
0
12
0
0
0
0
8
0
0
0
0
1
8
8
4
0
17
0
0
0
0
0
2
2
0
0
0
0
8
0
0
10
0
0
0
4
0
8
0
8
24
8
8
8
16
1
8
2
8
8
8
8
0
0
0
8
0
0
0
8
16
1
0
24
0
0
1
4
0
0
0
0
8
0
8
8
0
0
0
0
8
0
32
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
8
0
16
16
0
0
0
0
28
5
16
8
0
0
0
0
0
8
0
0
0
0
0
0
4
0
0
0
53
5
8
0
0
0
0
0
0
0
0
0
0
4
2
2
8
13
5
5
5
5
0
0
0
1
24
8
4
8
8
0
0
8
8
0
0
0
0
0
0
4
8
16
0
0
8
0
0
0
0
2
2
0
8
0
8
8
8
0
0
0
0
0
0
16
20
8
0
32
8
8
16
0
0
0
0
0
0
0
0
0
8
0
0
0
8
0
0
0
0
0
16
0
0
0
0
8
8
0
32
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
1
1
0
0
0
0
0
0
24
0
0
0
0
0
0
0
0
16
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
2
2
6
4
5
0
0
16
0
0
0
0
0
1
1
8
8
0
16
0
1
0
0
0
0
0
0
16
0
2
2
0
32
0
0
0
0
16
16
0
16
8
0
0
8
8
8
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
4
8
8
2
1
0
0
0
0
0
0
0
0
0
18
18
4
0
0
0
0
0
26
0
0
0
0
0
0
0
0
8
0
0
9
9
0
0
0
0
4
4
0
0
16
0
8
0
0
16
16
0
0
16
16
0
0
0
0
48
8
0
0
8
8
8
34
0
0
8
8
1
0
8
16
0
16
16
4
4
1
0
16
0
32
32
0
0
0
0
0
0
0
0
0
0
0
16
0
18
0
0
0
0
0
0
8
8
0
16
48
48
0
0
20
0
0
0
0
0
0
17
8
0
0
0
8
0
1
0
4
4
0
16
16
16
16
2
0
0
36
0
0
0
8
0
0
0
0
12
12
0
0
8
2
32
0
0
0
0
2
2
4
36
8
0
0
8
8
8
24
16
16
8
8
0
0
16
4
0
0
0
0
8
0
0
0
0
16
16
16
16
16
16
0
0
0
0
0
0
0
0
0
0
8
8
8
0
0
8
8
22
0
0
0
1
0
0
8
8
8
0
8
8
4
0
0
0
0
0
0
0
0
8
16
0
6
0
8
0
0
0
4
19
0
8
8
0
0
0
0
0
18
0
1
0
0
0
0
0
16
0
16
16
0
0
0
0
0
8
8
0
16
0
0
0
0
16
8
10
16
0
0
1
8
0
16
0
0
4
4
8
8
16
4
0
8
8
0
8
0
2
2
8
48
48
2
2
8
8
0
0
0
0
0
8
8
8
4
2
2
2
0
0
4
0
1
8
0
0
0
0
0
8
8
8
0
0
0
0
22
0
33
33
8
0
0
0
4
4
8
8
0
0
8
8
4
0
0
0
0
0
16
0
24
16
16
8
0
4
8
32
32
0
0
8
0
0
0
0
0
4
4
0
0
0
0
1
0
16
0
0
26
26
26
8
12
12
12
0
0
0
0
0
16
0
0
16
8
8
0
0
0
0
20
0
8
20
0
18
8
9
0
0
0
5
5
8
0
0
0
0
0
0
0
0
0
2
24
8
0
0
0
8
0
8
0
0
1
16
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
1
1
0
8
8
0
0
8
0
0
16
4
4
8
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
4
0
0
8
8
0
8
0
0
0
8
0
8
8
8
0
0
2
8
0
0
8
0
2
24
8
0
0
0
16
8
0
32
0
2
8
0
4
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
8
0
0
16
16
1
0
0
0
0
0
1
20
20
0
0
0
8
0
0
16
16
16
16
0
0
0
0
10
0
10
10
10
10
10
8
8
0
1
1
0
12
0
0
4
0
1
4
1
1
16
0
0
16
16
0
0
4
0
0
4
16
8
8
16
4
8
8
36
8
8
0
0
0
0
4
0
0
0
12
0
0
16
0
0
48
48
0
8
16
0
0
22
0
8
8
0
16
0
4
0
0
8
8
8
2
0
0
0
0
32
16
0
32
0
16
0
32
8
0
0
0
0
0
8
0
0
24
0
0
16
16
4
4
4
4
4
0
16
0
0
0
0
4
8
0
0
0
0
0
0
2
16
8
0
0
0
8
0
24
0
0
0
8
0
8
8
0
22
22
22
0
32
9
9
9
32
0
1
0
0
0
0
0
8
8
0
0
2
0
0
4
0
0
1
8
8
8
8
0
0
0
0
33
32
0
0
8
0
0
0
1
1
1
0
0
0
0
24
0
0
1
8
0
0
0
0
0
0
0
8
1
0
0
0
0
8
0
20
20
0
27
27
27
44
24
24
0
2
0
0
0
16
0
0
1
16
4
9
9
0
0
0
0
0
1
1
0
0
0
0
0
8
16
0
4
0
0
2
0
1
2
24
4
4
0
8
24
0
0
32
0
8
0
0
0
2
2
0
0
0
0
0
9
16
0
0
8
2
0
0
0
0
0
0
8
0
8
16
24
24
24
0
17
21
0
0
1
0
0
8
0
0
0
8
0
16
16
8
16
16
0
4
0
0
0
0
0
8
8
8
8
0
0
0
0
0
0
0
0
1
0
0
36
0
0
0
0
16
16
16
0
16
1
16
6
0
9
8
8
8
0
34
0
8
16
0
0
0
0
0
20
8
0
0
0
8
16
0
0
0
0
0
8
8
16
16
0
8
8
32
0
8
8
8
8
16
8
8
0
0
0
16
0
0
16
28
1
1
0
0
8
0
0
8
0
2
8
8
8
0
0
0
0
0
40
40
40
40
0
0
0
0
8
1
1
1
1
1
4
4
4
16
16
8
0
16
24
0
0
0
0
0
0
16
39
2
2
2
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
8
16
0
0
24
9
0
0
0
8
0
8
0
0
0
0
0
8
8
0
2
0
0
8
8
0
4
24
0
8
0
0
0
8
0
0
16
8
8
0
8
24
0
0
0
0
4
0
16
8
4
0
8
24
0
0
0
0
0
4
0
0
0
0
4
4
0
0
8
16
20
0
0
0
0
0
0
0
0
29
0
0
1
8
0
0
0
0
0
8
8
0
0
0
0
0
16
0
0
16
0
8
8
8
0
8
8
0
0
0
0
0
8
0
0
0
4
1
0
0
0
0
0
0
16
0
0
8
0
8
8
8
20
32
0
0
0
8
8
0
0
0
16
16
16
0
0
0
0
19
0
0
0
16
0
0
0
0
0
4
0
0
0
8
8
0
0
0
4
0
8
0
8
8
8
1
0
8
1
0
0
0
8
0
8
8
0
0
0
16
2
2
2
2
2
2
2
8
8
8
0
0
4
2
2
2
0
0
0
0
0
0
0
0
0
0
1
0
2
0
0
16
16
0
16
0
8
0
35
0
0
0
0
32
32
0
0
0
0
0
0
0
0
2
2
0
0
0
0
8
0
8
8
0
16
0
0
4
4
0
0
1
1
0
18
18
8
0
8
16
0
0
2
16
8
0
8
8
8
0
0
16
0
0
17
16
8
0
0
0
0
0
0
0
8
0
0
0
0
0
1
0
0
8
0
8
0
4
0
0
0
0
0
0
0
21
0
16
0
0
4
4
8
0
0
20
20
0
8
0
0
0
0
8
0
0
20
8
0
0
5
0
0
4
0
0
0
0
0
1
2
0
0
0
24
0
8
0
0
0
0
0
0
8
0
17
17
32
9
0
0
8
0
0
0
0
8
1
0
0
8
0
0
0
0
16
0
4
0
8
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
8
4
4
4
4
0
16
0
24
0
8
0
0
0
0
8
8
6
4
20
0
0
0
0
0
0
24
8
8
0
8
32
0
0
0
8
0
16
0
8
8
0
0
0
8
0
8
16
0
8
1
8
0
0
0
0
0
0
0
24
0
0
0
0
8
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
4
4
0
0
32
0
0
0
8
0
1
1
1
1
1
1
1
16
16
16
0
0
13
13
0
4
0
4
4
0
4
4
4
0
6
6
8
0
7
0
4
16
0
0
8
0
0
0
0
8
6
0
0
0
0
0
0
0
0
8
0
2
2
1
0
0
0
17
0
0
0
0
16
0
0
0
8
0
8
2
0
0
0
0
0
8
0
4
0
0
8
8
8
33
33
16
16
8
0
0
0
0
16
0
0
0
0
0
0
0
0
0
8
4
0
0
0
16
8
8
16
16
0
2
2
8
0
8
0
25
0
0
16
0
0
4
0
0
0
14
0
0
0
0
0
0
16
0
0
8
16
0
0
0
8
8
0
0
0
0
0
8
0
0
0
0
16
0
2
0
0
24
0
0
12
0
16
16
8
0
0
0
0
0
8
0
0
0
0
0
0
8
8
0
8
1
0
4
0
16
0
16
0
0
8
0
0
0
0
0
0
0
0
4
24
24
0
0
0
8
0
32
32
0
0
2
16
16
16
5
0
0
0
0
0
16
0
16
0
0
8
8
0
4
10
20
0
28
0
2
0
4
8
8
8
20
16
16
0
0
8
0
20
8
8
4
0
0
0
0
0
0
1
0
0
0
0
4
0
16
0
0
0
0
32
8
16
36
0
4
0
0
0
0
0
8
8
8
24
16
0
0
8
16
16
16
0
0
16
0
16
0
0
8
16
8
8
0
8
4
32
8
16
1
0
8
0
0
8
32
0
0
8
0
0
0
16
16
16
0
9
0
8
8
8
0
1
16
0
0
0
0
4
4
4
4
20
0
0
1
16
16
0
0
8
0
6
6
0
0
0
0
0
16
0
4
0
0
8
0
8
3
0
0
4
4
0
0
0
0
0
0
8
4
16
16
8
16
16
16
8
16
16
12
8
8
8
56
4
0
0
2
2
8
0
0
0
0
0
8
8
28
0
1
0
0
0
8
0
0
0
0
0
0
0
8
0
0
0
16
16
0
0
0
0
0
0
0
2
4
0
18
18
0
0
0
20
0
0
0
0
8
24
0
0
8
0
0
0
0
4
0
0
0
16
0
8
8
0
0
0
0
0
0
16
0
0
0
0
0
16
16
16
24
1
1
0
0
24
32
0
0
4
16
16
1
2
1
8
8
4
0
0
0
0
8
0
8
20
0
0
2
2
16
16
16
0
0
0
0
0
2
0
0
0
0
2
0
16
9
8
0
0
0
0
2
16
16
16
0
0
18
0
8
0
0
2
0
8
8
0
8
8
8
0
8
0
0
8
21
16
2
8
8
8
8
8
8
0
16
0
8
24
16
0
8
16
2
0
0
0
0
0
12
8
8
0
12
12
0
0
0
8
8
16
16
16
16
8
8
0
0
0
0
0
0
0
0
0
0
0
0
1
8
16
0
0
0
0
0
16
16
1
0
21
0
4
0
0
0
32
0
0
4
8
8
8
4
4
0
0
48
16
8
8
0
0
0
16
0
0
0
0
16
16
0
8
0
2
0
0
0
0
0
0
8
8
8
0
0
8
1
0
0
0
0
8
8
0
0
0
9
0
8
8
0
0
0
0
0
8
0
16
0
8
8
16
16
0
4
0
5
5
5
8
8
8
0
0
0
0
16
0
32
0
2
16
0
8
12
8
0
0
8
8
8
0
16
8
0
8
1
8
0
0
0
0
0
1
1
1
16
8
4
8
0
0
0
0
0
16
16
0
8
16
16
0
16
16
0
0
0
32
0
8
0
8
0
0
4
4
0
0
8
0
0
8
0
0
0
0
0
0
0
24
24
24
0
0
0
0
8
8
1
0
20
24
24
8
8
0
8
0
0
0
8
0
1
0
0
0
0
29
4
0
0
0
2
0
16
16
1
0
0
0
0
0
0
8
0
0
0
16
16
8
24
24
0
5
5
5
4
0
0
0
0
0
0
0
0
32
1
0
0
0
18
18
18
18
16
0
0
0
0
0
0
0
17
0
0
0
8
0
8
16
1
0
16
16
0
0
0
0
0
8
0
0
8
0
16
16
0
0
0
0
0
8
0
0
0
8
0
0
2
16
0
25
4
16
16
49
8
0
0
0
8
24
28
1
1
20
8
8
0
16
0
0
0
0
0
0
24
24
24
0
0
0
0
0
1
0
0
0
8
0
8
0
8
0
16
16
1
0
0
0
0
4
0
8
8
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
4
4
4
0
0
0
0
0
16
8
16
0
8
0
0
12
8
24
24
24
0
16
1
0
8
8
18
18
0
0
8
0
8
1
8
0
8
8
8
8
0
0
7
0
17
17
2
2
0
0
0
8
0
12
12
12
12
8
0
16
0
0
0
0
1
0
8
8
8
0
0
8
0
0
0
0
0
12
12
12
0
0
12
12
8
0
0
8
0
16
0
0
0
0
0
0
0
0
0
0
0
0
8
32
32
0
0
16
0
0
0
0
32
16
16
0
0
0
0
0
0
0
0
0
0
0
8
16
0
8
16
0
0
0
8
8
0
0
0
0
0
0
16
0
0
16
0
0
0
16
0
0
0
4
4
8
8
32
32
0
0
0
16
0
0
0
0
0
16
0
8
0
0
8
8
8
0
8
8
8
16
1
0
0
0
0
8
0
1
1
0
0
2
0
0
0
16
0
0
0
0
0
24
24
24
0
4
1
8
0
0
8
0
32
0
8
8
8
0
0
0
0
32
0
0
42
0
0
0
8
0
0
16
8
8
8
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
8
8
8
8
8
8
0
0
0
16
0
0
16
0
8
8
0
0
8
8
0
0
8
16
0
0
0
0
0
24
0
0
4
8
4
4
0
0
0
0
0
0
0
0
0
0
1
1
16
8
1
1
1
8
8
8
0
0
0
0
0
0
6
0
0
8
0
0
0
1
0
0
8
0
8
0
8
8
0
0
0
0
24
0
0
4
17
8
0
0
0
8
0
20
0
0
16
4
4
1
24
16
0
0
0
0
0
12
16
2
2
0
0
0
8
4
4
16
0
0
32
0
8
0
0
4
20
8
0
12
12
0
0
0
0
0
0
0
0
8
8
4
28
0
8
8
0
0
0
8
0
0
1
0
0
0
0
0
0
8
8
16
16
16
0
0
0
1
8
0
0
0
0
8
8
16
8
8
0
20
0
0
32
2
24
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
24
0
0
0
32
8
0
0
0
20
16
2
8
8
1
0
4
4
4
0
16
16
0
0
17
0
0
0
18
2
0
16
0
0
8
0
0
8
0
0
36
36
0
0
0
8
16
16
16
8
0
0
0
0
16
16
16
16
0
16
0
0
0
16
2
2
0
8
8
0
0
0
0
0
17
17
17
0
0
32
16
16
0
0
12
0
2
2
0
0
32
8
0
0
0
8
0
0
0
16
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
20
0
0
8
0
8
16
8
8
8
8
8
0
0
8
16
16
16
0
0
0
0
0
8
8
8
4
4
18
0
0
16
0
0
0
0
16
16
8
8
0
0
0
0
0
2
0
0
8
25
25
0
0
0
0
0
0
8
0
0
24
24
0
8
8
8
4
0
0
0
16
16
16
16
8
0
0
0
0
8
0
0
0
0
16
16
0
16
0
8
8
0
0
2
0
0
0
0
0
16
0
0
32
0
0
0
0
8
0
0
0
16
0
16
16
16
0
1
0
0
0
0
0
0
0
0
8
8
8
0
0
8
8
8
0
0
0
16
1
0
24
4
8
1
0
0
0
0
8
8
0
4
4
4
4
0
0
12
0
8
8
8
0
0
0
8
12
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
5
4
0
0
0
0
26
26
26
26
3
3
3
3
2
0
22
0
0
0
0
0
0
0
0
0
16
0
0
0
0
2
8
0
2
0
0
16
8
8
8
16
8
8
8
8
8
0
32
0
0
8
0
0
0
0
48
16
16
16
0
0
0
0
8
0
0
0
8
0
8
8
0
0
0
0
4
4
4
4
16
16
1
0
0
8
0
0
18
16
0
16
16
0
0
0
0
0
0
8
8
8
8
0
0
16
0
0
16
20
8
0
16
0
0
0
0
0
0
0
0
0
0
0
1
8
8
0
0
21
20
20
16
0
24
0
1
1
1
8
1
2
2
2
0
0
0
0
0
0
0
0
8
8
17
2
2
8
0
16
0
24
24
24
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
4
18
0
0
0
0
0
2
4
0
0
0
4
8
20
16
0
0
0
0
0
8
16
1
0
0
0
0
0
0
0
8
20
20
2
0
0
0
8
8
1
0
0
2
0
0
4
4
16
0
0
0
0
0
0
16
0
0
0
0
0
4
0
0
0
24
0
16
8
8
0
0
0
2
0
0
0
0
0
0
0
22
22
22
0
0
0
0
0
0
0
4
4
1
16
16
8
0
0
0
0
0
8
4
0
1
0
0
0
0
0
16
8
0
0
0
0
8
28
28
8
4
0
0
8
0
8
0
0
0
0
4
4
0
0
0
0
0
10
16
0
8
8
0
0
0
0
0
0
0
0
8
8
0
8
8
0
8
0
0
0
0
8
8
0
8
8
2
0
0
0
0
16
0
0
0
0
0
26
0
0
0
0
4
4
0
2
0
0
0
2
16
19
1
1
1
1
1
1
1
1
8
0
32
0
0
24
0
0
0
0
0
8
8
0
8
8
24
25
25
8
1
1
1
1
0
0
8
8
8
0
0
0
16
16
0
0
0
0
0
0
4
0
16
0
0
16
0
0
0
4
4
0
0
0
2
2
16
16
16
8
8
16
16
40
0
0
0
4
4
2
2
0
0
0
8
8
0
8
0
8
8
0
0
4
4
8
0
0
0
0
0
0
8
1
0
0
0
0
8
0
0
0
16
0
16
24
24
24
0
8
0
0
0
0
16
0
0
0
0
8
8
0
0
0
0
0
0
0
0
16
0
0
0
0
0
8
0
0
8
4
0
0
0
32
0
8
8
8
8
8
8
0
0
0
0
8
0
0
8
0
25
8
8
0
0
0
0
1
1
1
4
4
32
16
0
0
0
0
0
1
16
2
0
0
16
0
0
0
0
0
0
0
0
0
8
0
0
0
0
10
10
10
10
0
0
0
4
0
16
8
0
25
0
16
0
9
0
0
8
16
0
0
0
0
4
28
28
8
0
0
32
0
0
0
0
0
0
4
0
0
0
0
0
0
8
0
0
19
0
0
16
16
1
16
16
0
4
16
0
16
0
0
0
0
4
4
0
0
0
8
8
8
16
0
0
0
4
0
0
8
8
4
17
8
16
0
0
0
0
8
8
0
2
2
0
0
0
0
0
0
0
8
2
2
2
0
0
8
0
0
0
0
0
0
0
0
16
0
0
8
0
0
0
0
0
16
8
8
8
8
0
24
0
0
0
0
0
0
12
0
8
0
0
0
16
26
0
0
8
8
0
0
0
0
8
0
0
24
0
16
16
0
0
0
20
0
8
16
0
0
0
0
4
4
0
0
0
16
4
0
16
0
8
8
0
0
0
0
0
2
0
0
0
0
0
0
28
4
0
0
24
24
24
24
0
0
0
0
0
0
0
1
4
0
0
24
24
8
16
16
16
8
0
0
0
8
9
16
18
18
0
0
0
0
8
32
0
0
0
0
0
4
0
0
8
8
8
8
0
16
16
0
8
8
0
8
8
8
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
20
8
0
0
0
0
0
24
0
0
0
0
0
0
4
0
32
0
0
0
1
4
0
0
1
1
1
32
32
0
16
24
8
0
0
0
0
0
0
8
2
32
10
0
0
24
0
8
8
8
0
0
0
8
8
8
8
0
8
4
8
8
8
16
16
0
0
0
0
20
0
0
0
11
0
0
0
0
1
0
0
0
0
4
16
0
0
0
16
8
8
8
0
0
0
0
0
0
8
0
0
0
4
4
0
0
0
0
0
0
0
0
24
16
9
0
0
0
0
1
8
0
0
4
0
0
0
0
0
16
0
0
8
0
8
0
0
0
0
8
8
8
0
4
0
0
0
0
12
0
0
0
0
8
32
32
2
8
8
8
8
8
0
16
16
0
1
0
24
24
21
16
16
0
0
0
0
0
0
8
8
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
16
16
16
0
4
4
0
0
8
1
0
8
8
2
0
8
0
0
0
8
0
0
0
0
0
0
8
0
0
0
0
16
16
0
0
8
0
0
36
16
0
0
0
8
16
0
8
0
8
8
0
8
2
0
0
8
2
0
0
0
0
0
0
4
4
0
0
6
8
16
0
0
0
0
8
16
16
16
8
8
0
0
0
0
0
0
8
1
16
0
0
8
8
0
0
2
24
0
8
0
0
0
0
4
0
0
0
4
16
0
0
0
0
16
16
0
16
0
0
0
0
0
0
6
6
4
4
0
1
0
8
8
1
24
0
0
16
16
0
0
0
16
0
0
0
0
8
8
4
4
0
2
16
16
0
0
0
8
0
0
0
8
16
16
4
0
0
0
0
4
0
24
16
0
0
17
17
8
0
0
0
0
8
16
2
8
0
0
8
0
0
0
0
0
0
8
0
8
8
0
1
0
0
0
0
0
0
16
0
8
8
24
8
2
8
0
0
0
8
0
0
8
6
0
0
0
0
0
8
0
0
0
4
0
0
0
0
56
4
0
0
0
16
0
0
0
0
0
0
0
1
0
0
0
4
4
4
0
0
0
0
8
8
8
0
25
25
25
25
8
0
0
0
0
0
0
0
0
0
0
1
4
4
1
1
0
0
0
0
16
16
0
0
0
0
8
0
0
0
24
0
6
6
0
0
8
0
0
0
1
8
0
2
0
0
4
4
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
8
8
25
25
25
0
0
0
0
0
0
0
0
4
0
0
0
16
4
0
0
16
2
0
0
40
40
40
40
0
0
0
20
16
8
16
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
16
24
0
0
8
0
0
8
0
0
0
4
32
32
0
4
0
8
8
0
0
0
0
1
0
0
2
0
0
0
0
0
0
0
6
16
0
0
8
1
1
0
0
1
0
0
0
0
0
1
8
0
0
0
0
0
0
8
0
0
0
0
8
0
24
1
32
32
8
0
0
1
1
48
48
48
48
48
48
48
48
48
48
48
48
48
4
0
4
0
0
0
16
0
4
16
2
16
1
1
14
0
0
0
0
16
0
0
16
0
0
16
8
8
0
0
0
0
16
0
0
0
0
4
0
0
16
4
0
2
2
0
1
4
0
0
0
6
6
6
6
6
8
17
0
0
0
16
0
0
0
0
0
0
0
0
0
0
28
28
16
0
0
0
4
4
0
0
0
4
0
0
16
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
8
16
0
16
0
6
0
0
0
0
0
0
0
8
0
16
8
0
16
2
0
0
0
0
0
12
16
16
0
0
0
0
2
2
2
0
0
0
8
0
0
0
8
8
8
16
0
0
0
0
0
1
0
8
16
8
0
16
0
0
0
0
8
8
0
0
8
34
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
8
0
0
0
0
0
0
0
0
16
1
1
1
0
0
0
17
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
20
0
0
0
0
8
8
0
0
0
0
8
0
0
0
0
8
8
0
2
2
0
0
20
0
0
24
16
0
0
16
8
0
13
13
13
16
16
0
1
0
8
8
53
0
16
0
4
4
4
4
16
0
0
0
16
16
8
8
4
18
0
0
8
0
0
0
0
0
16
0
0
16
16
0
0
0
8
8
0
0
4
0
0
0
0
0
0
32
32
0
0
0
1
0
11
6
0
0
0
0
0
34
0
0
0
16
0
0
2
2
2
24
0
0
8
0
0
17
0
0
0
8
8
8
24
16
0
8
4
8
4
0
9
16
16
0
0
0
0
0
12
8
0
16
0
32
0
0
0
8
16
16
1
0
16
0
0
0
0
2
2
8
8
57
0
0
8
8
0
8
8
0
0
0
0
0
0
0
0
16
0
0
0
8
0
0
0
0
0
0
4
8
0
8
0
0
16
20
0
8
10
0
0
0
0
16
0
0
8
1
0
0
0
0
8
0
0
4
1
1
0
0
3
0
1
8
0
0
0
24
0
2
0
35
0
0
0
0
8
0
0
0
8
8
16
0
16
16
0
0
0
0
0
0
0
0
0
0
4
0
4
24
0
2
8
8
8
8
0
4
4
16
16
0
0
0
0
0
0
0
0
24
0
0
0
0
0
16
0
16
16
16
17
17
0
0
8
0
8
1
0
0
0
24
0
0
2
0
2
16
0
0
0
0
0
1
16
8
0
4
1
0
0
0
0
0
0
8
0
0
0
0
0
0
0
8
4
0
8
0
0
0
0
0
0
0
0
0
0
1
0
3
0
0
0
8
8
0
0
2
16
0
0
0
16
0
0
0
2
0
0
0
4
0
0
16
8
6
6
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
2
8
0
0
8
0
16
0
8
0
8
8
9
0
0
1
0
0
0
0
16
0
0
16
0
16
2
8
0
16
16
8
0
0
0
0
0
0
0
0
24
0
0
0
0
17
0
0
0
0
0
4
4
8
4
16
0
0
8
0
8
8
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
16
16
8
0
16
16
16
8
2
0
0
8
4
4
0
0
0
0
0
0
6
6
6
0
0
0
0
0
0
0
5
16
29
29
29
29
2
0
0
0
4
4
1
0
0
0
0
0
0
0
0
0
16
2
2
2
0
0
2
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
32
0
1
1
0
0
0
0
0
0
16
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
2
16
16
0
0
0
5
16
13
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
0
0
8
0
16
0
2
8
8
8
0
8
8
0
8
0
0
0
16
16
16
8
0
0
0
0
0
8
2
0
0
0
18
16
0
0
0
0
0
0
0
0
0
8
0
0
2
0
0
8
0
12
0
8
16
0
0
0
0
8
0
0
0
8
2
16
16
4
4
4
0
0
0
0
0
0
0
8
8
0
0
0
16
16
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
4
16
4
0
0
0
0
16
0
8
0
0
4
16
16
8
8
0
8
8
8
0
0
0
0
0
0
16
0
0
0
0
17
17
8
16
16
16
16
0
0
0
16
16
16
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
18
0
0
0
16
0
0
0
0
0
0
10
0
8
0
8
0
0
8
8
0
0
16
0
16
0
0
0
0
0
8
0
0
0
32
0
52
0
0
0
0
0
0
22
0
0
0
0
16
16
0
0
0
0
0
0
8
8
0
0
0
0
0
8
8
16
4
0
0
0
1
1
0
0
0
18
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
24
8
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
8
8
8
0
0
8
8
0
0
0
0
0
0
32
24
0
0
0
0
0
0
8
16
16
0
16
0
0
0
0
0
0
0
48
0
0
0
0
0
0
0
0
2
16
0
0
25
0
1
0
8
0
0
0
0
0
0
0
0
0
8
0
16
16
0
0
0
24
0
0
4
0
2
0
8
0
0
2
0
0
0
0
2
0
0
0
0
8
1
4
8
0
0
0
0
0
28
8
8
2
2
0
0
0
0
8
8
16
0
0
24
0
0
0
0
8
8
8
8
8
0
0
0
0
0
0
0
0
0
16
29
8
8
24
0
0
0
8
0
0
0
0
0
0
20
16
0
0
0
0
0
20
24
24
18
0
8
0
0
2
0
0
0
0
0
0
0
0
16
16
0
0
0
0
8
0
0
16
7
0
8
0
0
0
0
1
0
4
4
4
4
0
0
0
0
0
0
0
0
0
0
12
16
16
0
0
0
8
2
0
0
0
0
0
20
16
0
1
0
0
0
0
4
0
0
0
0
2
2
0
1
0
0
0
0
0
0
0
0
0
0
17
17
17
17
0
0
0
16
8
8
0
1
1
0
8
8
8
8
0
0
0
0
1
8
0
0
16
0
0
0
8
0
0
0
0
2
0
0
0
4
4
4
0
0
8
8
0
0
0
0
16
16
0
0
1
0
0
16
8
0
0
0
0
0
0
0
0
16
16
16
24
24
8
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
8
8
8
8
16
0
16
0
0
0
8
0
0
0
0
0
0
0
0
0
8
24
24
0
0
16
0
4
4
8
8
0
0
0
0
0
24
0
0
0
0
0
0
8
16
8
0
0
8
8
8
8
0
0
0
32
16
0
34
0
24
0
0
16
16
0
20
13
13
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
16
0
0
0
8
0
23
8
0
16
0
2
0
0
29
29
0
0
1
2
1
1
1
1
1
1
0
8
0
2
0
0
12
12
0
1
1
1
1
1
2
4
0
0
0
0
0
0
0
0
0
16
16
0
8
0
0
0
4
0
25
0
8
8
0
0
0
0
0
0
8
8
0
16
16
2
0
0
0
0
0
0
0
0
16
0
40
0
0
0
0
0
0
0
0
29
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
2
0
0
0
24
0
1
2
0
4
0
0
0
1
1
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
24
0
0
0
0
0
0
16
0
0
2
24
0
4
0
0
16
0
0
2
0
16
0
19
0
0
1
0
19
0
0
0
16
0
16
0
16
8
0
0
0
0
1
8
8
0
8
0
0
16
16
8
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
32
0
0
0
0
8
2
2
2
2
2
4
0
8
4
13
0
0
0
0
0
0
13
16
0
0
8
0
8
8
8
8
0
0
16
16
0
5
25
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
4
0
0
0
0
8
0
1
32
32
0
0
2
2
0
0
0
30
0
0
0
0
18
0
0
0
0
8
0
0
0
7
0
0
8
0
16
0
8
0
0
2
0
8
8
0
0
8
8
1
8
0
24
0
0
0
1
0
0
8
0
0
0
0
0
8
8
0
2
2
0
8
8
0
0
16
0
4
0
0
0
0
0
16
16
19
2
0
0
0
0
0
8
8
0
25
0
0
0
0
0
0
4
8
0
1
1
0
0
0
0
0
0
0
0
0
32
32
0
0
0
0
0
0
0
0
0
20
8
0
8
8
0
0
0
0
0
0
0
12
16
0
0
0
0
8
0
0
0
2
4
4
4
4
4
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
8
0
0
0
0
4
0
4
0
0
1
0
1
20
20
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
2
2
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
16
0
0
0
0
0
0
0
0
8
8
0
4
0
0
0
0
8
8
0
0
8
17
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
4
8
8
0
0
0
0
0
0
0
0
0
0
0
0
16
0
8
0
0
0
0
0
0
0
0
0
1
0
0
1
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
4
0
0
0
0
0
0
0
0
0
32
0
0
8
8
2
2
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
4
4
4
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
24
0
0
0
4
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
17
0
0
0
0
32
32
16
0
0
0
0
0
0
0
0
0
8
1
1
0
0
0
4
0
0
0
0
0
0
8
32
0
16
4
0
0
0
0
0
0
0
4
4
4
4
0
0
0
0
0
16
0
0
0
0
0
24
24
24
24
24
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
4
2
0
8
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
8
0
0
0
4
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
16
0
0
0
0
0
0
0
1
0
0
0
0
0
10
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
24
0
0
0
0
8
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
16
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
4
8
0
0
8
0
0
16
0
0
0
0
4
1
0
2
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
22
22
0
16
0
0
0
0
8
8
0
0
32
0
0
0
0
0
36
0
16
0
32
0
0
0
4
0
0
0
1
1
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
2
2
0
0
0
0
0
0
0
0
16
26
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
44
9
0
1
0
1
0
0
0
0
0
0
0
0
16
0
0
0
0
0
16
0
33
0
0
0
0
0
0
1
0
0
0
0
0
0
0
8
0
0
4
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
4
0
0
1
0
26
0
0
0
0
0
0
0
0
4
16
0
0
0
0
0
0
0
1
1
1
4
0
0
0
8
8
0
0
16
16
16
1
1
26
26
8
0
0
0
8
16
0
0
8
0
0
8
0
0
0
0
0
0
0
24
8
24
4
0
0
0
0
0
24
0
0
0
0
8
8
0
0
0
16
0
20
20
0
0
0
0
0
0
8
8
8
8
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
24
0
0
0
2
0
20
0
0
2
0
0
8
4
0
0
0
0
0
24
8
8
8
8
36
36
36
0
0
0
0
0
0
4
0
0
16
2
2
0
0
8
0
0
0
0
16
0
24
0
0
0
0
0
2
2
8
0
4
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
6
0
0
0
0
0
0
0
0
6
8
0
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
8
0
16
0
0
0
0
0
0
8
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
16
0
0
0
4
0
1
16
0
8
0
0
0
0
0
0
0
0
0
0
8
2
0
0
0
0
9
0
0
0
0
0
0
0
0
0
0
0
40
0
0
0
2
8
8
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
12
16
0
0
0
0
8
0
0
0
0
0
0
0
0
0
6
4
4
4
0
4
4
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
8
24
0
0
0
0
0
0
16
0
0
8
0
0
0
0
1
1
1
0
0
0
0
0
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
8
4
0
0
8
8
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
16
16
0
28
4
0
8
0
0
4
0
0
0
0
0
0
0
4
0
0
0
16
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
8
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
2
0
0
2
40
16
16
8
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
20
0
8
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
32
0
0
0
0
0
0
8
0
0
0
2
2
2
0
16
16
0
0
0
24
0
17
8
0
0
6
0
0
0
0
0
0
0
8
16
16
0
0
24
24
24
0
0
0
8
8
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
1
16
1
1
0
0
0
0
8
8
0
0
0
2
2
0
0
0
8
8
0
0
0
3
0
0
0
0
0
0
0
4
0
0
0
0
0
24
0
0
0
0
0
0
0
0
0
0
4
4
0
0
0
0
0
0
8
0
0
32
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
16
0
0
16
0
0
8
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
8
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
0
0
2
0
16
0
8
0
0
0
8
8
16
16
0
0
9
9
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
28
0
0
8
8
4
4
0
8
8
0
0
0
0
0
0
0
8
0
0
0
0
0
0
8
0
0
8
0
0
0
6
1
6
0
0
0
0
0
8
0
0
8
1
0
0
0
0
0
0
0
0
0
16
0
0
0
4
0
0
0
0
0
0
0
0
20
26
0
0
0
0
4
0
0
0
16
12
16
16
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
4
2
2
16
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
2
2
0
0
0
0
8
0
0
0
8
0
0
0
0
0
0
0
0
2
2
2
0
0
0
24
24
0
0
0
0
0
0
1
1
0
8
0
0
0
0
4
10
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
0
0
8
1
0
1
0
0
0
24
24
24
24
0
0
8
2
0
2
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
36
36
0
0
0
0
0
0
8
8
8
8
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
0
56
0
8
0
0
0
24
16
16
2
12
12
0
0
0
8
16
16
0
0
0
0
16
0
0
0
0
0
0
0
0
8
0
0
8
0
0
0
1
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
1
24
28
8
0
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
8
0
4
4
4
0
0
4
0
8
8
0
0
0
0
0
0
0
0
0
2
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
8
0
0
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
17
8
0
0
0
0
0
8
0
0
0
0
0
8
0
0
0
16
16
0
0
0
16
16
0
0
0
16
0
0
0
2
0
0
0
0
0
0
8
4
0
0
0
0
0
0
0
0
0
0
10
8
0
0
0
16
0
0
0
32
32
28
0
0
1
0
0
0
4
4
16
16
16
8
8
2
0
8
0
0
3
3
0
0
4
1
0
0
0
0
0
0
7
0
0
0
0
0
0
0
0
0
0
0
0
24
0
8
12
0
0
0
0
8
0
0
0
16
16
16
0
0
0
8
0
6
0
0
0
8
0
0
0
8
8
8
20
4
0
2
0
0
0
0
0
0
0
0
0
8
0
16
0
0
0
8
8
8
26
0
0
0
0
0
0
0
8
8
0
0
4
0
0
0
2
0
0
0
0
0
0
0
0
4
0
0
1
4
0
0
0
8
8
0
31
16
8
16
16
0
0
0
4
0
0
12
4
16
0
0
0
0
0
0
0
8
50
50
50
50
18
0
0
1
0
0
0
0
0
17
0
8
1
8
0
0
0
0
4
0
0
0
0
8
8
8
8
0
0
0
0
16
0
12
0
0
0
0
0
1
0
0
0
0
24
0
0
0
0
2
16
0
32
0
0
0
0
8
0
0
0
0
0
28
0
0
0
0
0
0
1
0
16
4
8
4
8
0
0
0
0
12
12
0
24
0
8
0
0
0
16
16
1
0
0
0
0
0
8
8
17
44
0
0
0
0
0
34
16
16
16
0
0
8
0
0
18
18
16
16
16
8
8
8
0
0
0
0
0
0
8
16
0
0
0
0
0
20
20
0
0
0
0
0
17
17
0
0
0
16
2
2
0
0
0
0
0
0
4
0
0
0
24
0
0
0
16
0
0
0
0
0
0
0
16
8
0
0
0
8
16
0
0
8
0
0
8
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
2
0
0
0
0
16
0
0
8
8
4
4
4
0
0
0
0
0
1
1
0
0
0
0
8
1
1
1
8
0
8
0
8
0
8
0
0
0
0
0
0
16
0
0
2
0
0
0
8
8
8
8
8
0
0
1
0
0
0
0
0
0
8
0
0
0
0
0
0
9
0
0
0
0
16
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
9
0
8
24
0
8
0
0
24
0
0
0
8
24
24
24
0
0
4
0
0
0
0
0
0
0
4
8
8
0
0
0
0
8
8
0
0
16
4
0
24
24
16
0
4
4
4
0
0
0
4
0
0
0
0
24
0
0
0
0
0
0
8
0
10
10
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
16
0
0
0
0
16
0
0
0
0
0
2
0
0
0
0
17
17
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
16
0
0
0
16
8
8
8
8
0
0
8
0
4
0
0
0
8
0
0
0
1
1
0
0
0
0
0
0
0
0
2
0
8
0
0
0
0
0
0
0
0
8
0
0
0
4
0
0
0
0
0
0
0
0
49
8
0
0
0
0
17
3
34
16
16
0
24
16
0
0
0
0
0
8
16
8
0
0
0
0
0
0
4
24
8
0
0
0
0
0
0
0
0
1
0
0
0
0
16
0
24
24
0
0
16
2
0
24
24
16
16
16
0
0
0
16
0
0
0
0
0
0
0
16
4
0
0
0
0
0
0
4
0
16
16
16
16
16
16
16
16
16
16
0
16
16
16
0
0
0
0
0
0
0
0
0
16
0
40
0
0
8
0
0
0
0
0
0
0
0
52
0
8
8
0
8
8
16
16
8
4
0
8
8
8
8
18
0
8
0
0
4
0
0
0
0
0
16
0
21
2
0
0
32
0
0
22
24
0
0
0
0
0
0
0
0
8
0
0
20
0
0
0
8
0
20
0
0
0
0
0
8
0
16
0
4
0
0
0
0
0
0
1
1
0
0
0
0
0
0
8
0
0
0
1
0
0
0
0
8
8
0
8
8
6
24
8
16
8
0
20
0
0
12
0
0
0
0
0
0
16
1
1
0
0
0
0
4
4
4
4
4
4
4
0
0
0
0
0
0
8
0
16
0
0
0
0
0
0
0
4
0
0
0
0
1
0
0
8
0
0
0
0
0
4
0
8
8
16
0
0
0
4
0
4
0
5
2
2
0
0
8
0
0
4
0
0
0
18
0
16
8
16
0
0
0
0
1
1
0
0
0
0
16
4
4
24
24
24
24
8
0
18
18
16
0
29
29
29
29
0
8
8
8
0
1
6
6
1
16
0
0
4
0
0
10
0
0
0
0
0
0
0
0
0
0
4
0
0
0
4
0
0
0
0
0
0
16
16
16
0
8
0
0
0
0
0
0
0
0
0
0
0
10
0
0
3
4
2
8
8
16
0
0
0
0
1
0
0
0
4
4
0
0
0
0
8
0
0
29
0
8
8
8
0
0
0
0
1
8
8
0
0
8
8
8
0
0
0
16
0
2
8
0
0
0
0
8
8
16
8
8
8
0
32
0
0
0
0
0
0
0
0
8
0
16
0
0
0
0
8
16
8
8
8
0
16
16
0
16
16
0
0
8
16
16
16
8
8
8
0
4
4
0
0
0
0
8
0
8
16
4
0
16
0
0
0
4
0
8
16
8
0
0
0
24
0
1
0
0
0
0
16
16
6
4
8
16
0
0
0
0
0
0
0
0
0
0
18
18
0
0
0
0
0
0
0
0
10
0
2
8
8
16
24
1
8
8
0
8
0
0
0
0
2
0
0
0
16
20
0
0
0
0
8
8
8
8
2
28
0
0
0
0
0
0
2
2
4
0
0
8
8
0
0
0
0
0
0
0
0
8
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
24
0
0
0
0
0
0
0
8
4
1
1
0
4
1
2
8
16
0
0
16
16
16
16
1
0
0
32
0
0
0
0
0
0
0
0
0
0
0
16
16
0
8
8
8
8
8
0
0
0
0
0
0
0
0
4
0
8
0
1
0
0
2
8
0
0
0
0
8
0
0
4
17
0
8
8
0
8
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
8
0
8
0
0
0
0
0
0
0
4
4
0
0
1
0
0
16
8
0
4
0
0
3
16
0
0
0
0
0
8
5
16
4
8
32
8
8
0
16
0
16
0
0
0
0
0
0
0
0
32
16
0
0
5
0
1
0
8
8
8
8
8
0
56
0
16
0
16
0
32
1
0
0
0
0
0
0
16
0
16
16
0
0
0
8
8
2
2
0
0
1
0
0
8
8
0
16
16
0
16
0
0
8
16
17
0
0
16
0
0
0
0
4
0
9
0
0
1
0
0
0
28
28
28
2
0
16
0
1
4
0
0
0
0
0
32
24
0
2
0
0
0
0
8
8
8
8
0
4
4
16
0
24
0
28
28
0
0
0
0
8
8
0
0
0
8
0
0
8
8
0
2
0
0
0
0
0
0
0
0
16
18
0
18
0
0
0
16
16
16
0
0
16
16
0
0
16
32
0
0
8
8
8
0
8
16
0
0
8
0
8
4
0
0
0
8
20
1
0
0
0
0
0
16
0
0
0
1
16
0
0
0
8
0
8
8
16
16
16
0
0
0
0
0
0
0
0
0
12
0
0
0
16
24
0
0
0
0
0
0
0
4
0
0
16
0
0
0
0
0
8
0
0
0
0
16
16
0
0
0
0
26
0
0
0
0
8
0
0
0
0
0
0
0
0
0
16
0
0
8
16
0
16
16
1
1
0
0
0
2
0
8
16
0
0
0
0
0
0
0
0
8
8
8
0
0
8
0
0
0
8
0
0
0
8
0
0
0
1
1
0
0
0
16
16
8
8
2
0
0
0
0
0
0
0
0
0
16
0
24
0
0
0
0
0
0
0
0
0
8
8
4
2
0
0
0
0
0
0
8
8
0
8
8
8
0
2
2
2
0
0
0
16
0
0
0
0
4
0
0
0
0
8
0
0
0
0
0
24
0
8
0
0
0
0
0
0
0
0
8
8
0
4
16
0
17
0
0
0
0
0
4
0
0
0
8
0
0
0
0
0
0
0
8
4
0
0
0
16
8
0
16
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
33
24
0
0
16
16
16
16
0
0
2
2
2
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
37
8
8
8
56
0
8
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
18
0
0
0
16
2
2
4
16
8
8
0
0
0
0
0
16
0
0
0
4
0
0
8
0
4
0
0
0
0
0
0
0
0
8
0
0
33
0
8
0
0
0
1
16
0
8
0
8
0
0
2
0
16
16
0
0
0
4
4
28
0
0
0
0
0
0
0
0
12
0
0
8
4
0
0
8
0
0
0
0
0
8
0
0
16
8
0
4
1
1
1
0
0
0
0
0
16
0
0
0
0
16
16
16
16
16
16
16
16
16
16
16
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
0
0
36
0
0
8
40
0
16
0
0
0
0
6
6
8
24
8
0
0
8
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
8
8
4
2
0
0
0
0
0
0
0
0
16
0
0
0
0
0
4
4
0
0
0
0
16
0
0
0
0
0
0
8
1
0
0
6
6
0
0
8
8
0
16
0
0
0
16
8
8
0
1
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
16
16
16
16
0
0
0
0
9
8
8
0
0
0
0
0
8
0
0
0
24
4
1
0
0
24
12
0
0
0
0
0
16
2
16
2
0
0
0
0
0
0
0
0
20
0
0
16
0
0
4
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
2
16
16
0
0
0
49
24
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
32
0
1
0
17
0
1
0
0
0
0
4
0
0
0
0
0
0
0
0
0
0
2
0
0
8
0
0
0
0
0
0
8
0
0
0
0
0
0
0
4
8
0
8
0
0
8
16
0
0
16
8
8
0
0
8
0
0
0
0
0
0
0
0
4
0
0
8
8
32
0
8
0
1
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
4
0
17
17
0
0
16
8
0
0
8
8
0
0
0
22
22
0
0
0
32
32
0
8
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
1
0
4
16
0
0
4
8
8
17
17
17
17
0
0
0
8
0
0
0
0
0
16
0
8
0
0
0
0
0
8
8
0
0
8
16
8
0
0
0
8
0
0
0
1
4
4
8
8
16
16
0
8
0
16
0
0
0
0
0
0
4
0
0
60
0
0
0
1
2
2
16
0
8
0
3
1
0
0
0
0
2
0
0
0
16
0
0
0
0
0
4
4
4
4
4
4
0
0
0
0
0
0
0
0
0
0
0
0
0
22
22
1
1
0
0
0
1
0
0
0
48
0
0
0
2
17
8
0
0
25
8
0
0
2
8
16
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
5
5
0
0
1
0
0
0
0
0
0
0
0
0
0
1
8
0
0
0
0
1
1
0
0
0
0
16
0
0
0
0
8
0
2
2
0
0
8
8
0
0
0
12
0
0
16
8
0
8
16
8
0
14
0
8
8
0
0
2
2
2
2
4
8
8
0
0
0
0
0
0
0
0
0
0
2
0
16
0
0
0
0
8
0
16
24
0
0
0
0
0
8
8
0
8
24
16
0
9
0
0
8
16
16
0
8
0
8
8
8
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
8
0
0
0
8
0
0
4
0
16
8
8
8
0
20
0
8
0
0
48
8
20
0
0
0
0
0
0
0
0
12
0
0
0
0
0
0
0
8
8
0
8
0
0
0
0
0
0
16
1
0
0
0
0
8
2
8
8
8
0
0
8
0
0
0
0
0
5
5
0
0
0
0
16
0
0
32
32
32
0
0
0
0
0
32
0
0
0
0
8
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
5
0
0
0
0
0
0
0
0
0
24
0
0
0
0
0
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
1
0
0
0
2
0
0
1
0
0
0
0
0
0
8
0
0
8
0
0
23
8
16
16
0
0
2
8
8
0
0
2
40
0
2
2
49
0
8
0
8
8
48
29
29
29
29
25
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
4
0
0
16
0
0
8
8
0
0
0
0
16
0
16
0
0
0
0
0
0
0
0
20
20
0
0
0
0
0
16
0
6
0
0
0
0
0
0
0
0
0
2
16
8
1
0
33
0
16
0
0
24
0
0
0
0
16
0
0
0
0
0
0
2
0
0
0
0
16
0
0
0
16
4
4
0
0
0
0
16
0
0
0
0
16
0
8
8
0
0
0
0
0
0
18
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
8
0
0
0
12
0
0
0
0
16
0
8
0
0
0
0
8
0
0
0
8
8
8
2
0
0
0
0
0
0
0
0
0
0
38
38
0
4
4
0
16
32
4
4
0
0
0
0
0
7
0
16
16
16
0
0
0
0
0
0
9
0
0
8
0
0
44
0
0
8
0
0
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
10
0
24
24
24
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
0
0
29
29
29
29
29
29
29
29
0
8
0
0
0
4
16
0
0
0
2
0
0
0
16
16
0
0
0
8
0
8
0
0
8
8
8
8
0
0
0
0
0
0
0
16
16
16
16
16
0
0
16
0
2
4
0
0
0
0
0
4
4
4
0
0
0
0
0
0
20
0
0
0
0
0
0
0
0
0
0
0
16
0
2
2
16
0
0
4
4
0
0
0
0
0
0
0
0
0
0
0
2
0
16
0
0
4
4
0
0
0
0
0
0
0
0
1
1
1
8
0
0
0
0
0
0
0
8
0
0
16
8
8
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
16
16
0
0
0
0
16
16
16
0
0
0
0
8
8
8
8
8
0
0
0
0
0
0
0
0
0
22
0
0
0
0
0
8
8
0
0
0
30
0
4
16
8
0
0
0
0
0
0
0
0
0
16
0
8
0
0
0
0
0
0
8
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
4
4
4
0
0
10
0
16
0
0
0
40
1
0
0
0
24
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
1
8
0
8
0
0
0
4
24
32
4
8
0
36
0
0
0
1
0
0
32
0
1
0
16
16
2
0
16
16
2
8
0
8
0
0
0
8
0
0
8
0
4
0
0
0
0
0
0
4
16
0
0
0
0
8
13
0
0
0
8
4
8
0
8
8
0
4
32
24
0
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
1
0
0
0
0
8
0
0
8
16
0
8
25
0
0
0
8
16
6
16
16
0
1
4
0
0
8
0
0
16
8
8
17
17
17
0
2
8
8
24
2
0
0
12
26
4
0
0
8
8
0
0
0
48
8
0
0
0
0
8
0
16
0
0
0
0
2
2
0
4
8
0
1
0
8
8
0
0
42
0
0
8
0
2
0
0
8
0
0
8
41
16
0
0
17
0
4
8
0
0
0
0
0
0
0
8
4
0
1
10
0
8
4
0
0
0
8
0
0
16
0
18
24
0
0
0
0
8
8
0
0
0
0
0
0
0
0
16
0
0
0
16
0
0
0
0
4
4
8
0
0
1
8
0
0
0
0
0
0
16
16
0
0
0
0
16
0
0
0
16
16
16
2
0
0
0
0
16
1
17
0
0
16
8
0
0
0
0
0
0
0
16
0
0
0
0
16
16
8
24
0
0
1
0
0
0
0
24
24
20
20
0
0
0
12
24
16
16
0
0
0
0
0
0
16
16
16
16
16
0
0
0
0
0
0
8
1
0
0
1
0
0
8
0
0
2
0
0
0
0
16
0
0
0
25
20
20
8
0
1
8
0
0
0
0
0
0
24
0
16
22
22
8
0
16
0
0
0
1
8
2
0
0
0
0
0
0
0
0
16
16
16
8
0
2
0
8
0
0
0
18
8
12
0
0
16
16
0
0
0
8
8
8
0
0
0
0
0
0
0
0
0
1
1
0
27
27
27
27
27
0
0
0
0
0
0
0
17
0
0
0
8
8
8
1
1
0
0
0
0
8
0
0
0
0
0
0
1
1
1
0
8
0
0
0
0
21
21
21
21
1
0
8
0
8
4
0
0
0
4
4
0
8
0
0
8
0
0
0
0
0
0
0
0
0
0
0
1
0
4
0
16
2
2
0
8
9
9
0
0
0
0
16
4
8
8
8
8
0
0
8
4
4
4
4
0
0
16
16
0
0
0
0
0
8
8
8
0
8
0
0
0
0
0
16
20
4
0
16
8
0
0
0
2
16
0
8
16
16
16
16
16
24
0
0
0
0
0
0
0
0
16
8
16
16
2
0
0
0
0
0
0
0
0
0
0
0
4
0
0
0
0
0
0
0
8
0
16
8
0
0
0
0
8
8
18
8
8
16
16
16
0
8
16
16
0
0
16
0
0
0
0
0
0
0
0
8
8
8
0
8
8
16
2
0
0
20
20
8
8
0
8
8
0
0
2
26
0
0
0
0
8
0
0
8
32
0
8
18
32
0
0
0
0
1
0
0
20
2
2
2
2
0
0
16
16
0
16
16
8
4
0
0
0
0
0
0
8
4
0
0
0
0
8
0
8
0
0
0
0
24
24
2
0
0
0
0
1
1
16
16
16
0
0
0
0
0
4
0
16
0
8
0
0
0
0
0
16
8
0
0
0
0
8
0
0
0
16
0
0
0
0
0
0
8
8
1
16
16
16
0
0
0
0
24
24
24
24
0
0
16
0
0
0
0
0
8
0
24
0
8
8
16
0
0
8
0
0
0
0
0
8
26
0
0
16
0
16
32
32
32
32
2
0
0
16
1
16
0
0
0
8
8
8
0
24
0
24
8
8
4
0
8
0
16
0
8
0
16
8
16
0
8
8
1
1
1
1
1
3
0
8
0
0
0
0
0
0
0
0
0
8
8
8
0
0
16
2
0
0
0
24
27
4
0
12
12
16
2
0
0
0
0
0
8
8
8
8
8
8
8
0
2
8
16
8
0
0
0
0
8
8
0
0
16
0
0
0
16
0
4
0
8
8
8
0
0
0
0
0
0
0
16
0
0
0
0
0
8
16
16
8
8
16
0
0
0
0
0
0
0
0
8
8
8
8
8
8
0
0
0
8
2
0
0
0
8
0
16
16
36
0
0
2
0
8
8
0
14
16
16
16
8
16
0
16
8
8
0
0
0
0
8
0
48
8
24
0
0
0
0
12
0
32
2
0
0
4
4
4
4
0
0
0
1
0
0
8
8
8
0
0
8
0
0
3
3
0
0
16
2
0
0
16
16
4
16
24
24
16
16
8
0
0
2
2
16
16
16
16
16
0
8
0
0
0
8
0
0
0
16
16
2
0
8
0
1
4
6
6
8
0
8
0
0
8
0
8
9
8
8
0
24
0
8
20
2
0
4
0
16
4
16
0
24
4
0
8
8
19
19
2
2
8
8
8
0
0
0
0
0
0
4
0
0
0
8
8
16
0
20
20
20
20
16
0
0
16
16
0
16
8
1
0
0
0
8
8
16
16
8
4
4
0
0
0
0
0
2
2
2
2
0
0
16
0
0
4
2
0
0
0
16
0
8
32
16
8
24
0
0
0
0
1
0
0
0
4
0
0
8
12
20
16
4
24
8
2
0
16
16
8
16
0
0
8
16
0
8
0
1
1
4
8
0
16
8
0
0
16
16
8
8
8
8
0
0
0
16
28
28
28
0
8
0
8
8
8
56
0
0
0
8
0
0
0
0
0
0
8
4
8
0
0
16
16
0
32
32
1
32
8
16
8
8
0
0
0
8
8
0
0
0
8
8
8
8
0
0
17
17
8
0
0
0
8
0
2
0
0
8
8
8
24
24
1
8
8
0
8
0
0
0
0
26
26
0
4
4
0
0
0
8
8
8
32
32
0
0
8
8
16
1
16
0
0
16
0
16
8
8
8
0
0
16
0
0
0
16
1
0
0
0
0
0
8
8
4
4
9
1
0
16
0
0
0
0
0
0
32
0
16
16
8
8
8
20
8
8
4
0
0
0
16
0
0
8
0
0
16
2
2
2
2
2
20
16
16
0
0
8
8
8
8
8
0
0
1
1
4
0
19
19
0
0
0
0
0
8
0
16
0
0
0
2
8
8
0
0
0
1
1
28
0
0
0
0
0
0
0
0
16
16
16
32
0
0
4
8
1
0
0
0
1
16
0
0
0
0
0
16
0
24
0
2
0
2
4
20
0
0
0
0
4
4
0
1
1
8
16
16
0
4
8
1
8
0
16
8
0
16
16
16
8
0
0
0
1
1
0
0
8
48
0
0
4
0
0
16
0
8
0
18
0
0
4
0
0
0
8
16
0
0
16
0
8
8
0
0
1
1
1
0
8
8
8
8
0
0
0
8
8
4
8
8
32
0
0
0
0
2
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
2
0
1
0
0
0
8
1
16
16
0
0
0
0
0
0
0
0
0
0
0
4
4
0
16
0
2
8
8
0
16
16
0
0
2
2
2
2
0
0
0
0
36
32
8
0
1
0
16
0
8
8
0
0
0
0
0
0
8
8
8
0
0
7
24
16
8
0
0
16
16
8
0
0
0
0
0
8
1
2
0
0
16
4
4
0
8
8
0
16
8
8
8
8
0
16
8
0
0
0
0
13
0
0
0
0
0
8
4
16
0
0
0
0
16
16
8
0
16
8
0
1
0
8
0
2
1
1
0
2
0
0
16
16
16
4
0
0
0
2
0
0
0
16
0
0
9
8
0
0
0
0
0
0
0
0
24
4
0
7
7
2
16
16
8
16
0
0
0
0
0
0
0
0
0
8
0
4
0
0
8
8
48
48
4
4
4
4
0
4
4
60
0
0
16
0
0
27
27
1
24
0
0
0
0
0
0
0
0
0
2
2
2
0
0
0
8
0
0
8
8
8
0
0
16
0
17
1
0
8
16
16
0
16
16
0
2
0
8
0
12
12
0
0
0
0
0
20
0
0
0
0
0
0
0
0
8
0
0
0
0
16
0
8
8
4
0
0
44
0
0
0
8
16
48
0
16
0
16
16
16
12
1
0
2
8
16
0
16
16
16
1
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
0
16
0
16
8
1
12
12
12
1
0
0
0
8
10
8
8
8
0
18
0
0
0
8
0
0
0
0
24
17
17
17
0
3
0
1
16
0
0
16
16
0
0
16
16
0
0
0
16
0
0
0
0
0
0
0
0
0
8
8
8
0
16
0
0
0
0
0
0
0
0
0
16
16
2
0
8
16
0
0
0
0
8
0
0
0
0
4
0
22
18
18
0
0
16
16
4
4
16
4
0
0
0
8
0
0
8
0
0
8
8
0
8
4
8
16
16
0
8
0
24
24
0
0
0
0
0
0
8
8
0
8
16
4
8
8
0
16
0
0
9
0
0
0
16
0
0
8
8
0
8
8
0
0
0
0
4
4
4
4
0
0
0
0
0
0
16
2
8
8
8
4
4
4
0
0
8
0
8
0
0
24
0
8
8
8
12
0
2
0
20
0
2
0
8
48
0
0
0
8
0
0
0
8
0
0
0
0
0
8
8
0
0
4
4
4
4
0
8
16
0
0
0
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
2
0
16
4
8
16
0
2
8
0
0
0
24
0
0
0
0
8
0
0
0
0
0
0
0
0
8
0
0
0
0
0
1
1
1
0
1
1
1
0
0
0
0
0
8
0
0
2
0
8
16
16
24
20
1
1
0
18
8
0
0
16
0
0
8
0
24
0
16
1
0
16
0
8
16
0
0
8
0
0
0
0
0
1
0
8
0
17
0
0
17
0
0
8
16
8
8
8
8
0
1
1
16
1
0
8
24
0
0
0
0
9
24
24
0
8
16
16
16
16
0
0
0
0
0
0
0
0
0
0
0
8
8
2
0
8
1
16
5
5
5
0
0
16
16
0
16
0
8
0
0
0
0
0
0
8
16
0
0
0
0
1
1
0
0
0
0
33
1
0
8
0
6
0
0
0
0
0
0
0
0
8
8
4
4
0
8
0
1
24
0
0
0
0
0
8
8
0
8
8
0
16
8
8
0
8
0
0
0
0
0
0
8
16
0
4
7
1
1
1
16
1
0
0
0
0
0
0
0
0
0
4
8
0
0
0
0
0
0
0
0
0
0
0
4
8
0
0
32
32
0
0
0
0
0
0
16
0
0
8
0
0
0
4
0
0
0
16
16
8
2
8
0
0
16
16
0
0
24
24
8
8
8
8
32
0
0
4
8
0
1
0
8
9
0
32
0
0
0
16
8
9
9
9
0
0
16
8
0
0
0
0
0
0
0
16
3
28
0
10
1
0
0
8
2
2
8
0
0
0
0
0
0
16
16
16
0
0
0
16
3
0
0
8
16
0
16
0
8
8
8
20
8
0
0
16
0
0
0
0
0
0
8
0
1
0
0
8
0
0
0
24
8
8
8
8
0
8
0
0
8
0
0
8
0
0
0
0
4
4
0
0
0
0
8
16
0
0
0
16
8
24
24
24
0
16
4
4
4
4
4
4
16
0
24
0
0
16
0
0
0
0
0
0
2
4
0
8
0
0
32
32
0
0
16
0
0
0
0
32
1
0
0
8
8
8
0
0
0
32
0
4
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
16
0
0
0
0
0
0
4
0
16
0
2
0
16
16
16
0
0
4
0
16
0
24
4
2
0
4
4
0
0
2
0
16
1
0
0
0
22
0
2
2
2
4
1
1
0
0
0
0
4
0
0
0
0
1
1
1
4
14
16
8
10
0
0
0
8
8
0
0
0
8
16
8
8
0
0
0
4
0
8
16
8
0
0
0
0
0
20
8
0
0
2
8
0
28
0
0
0
0
0
2
2
16
4
0
0
0
0
0
0
0
0
0
0
0
0
1
8
16
8
0
0
0
0
2
0
0
0
0
8
0
0
0
1
1
0
0
0
0
0
16
24
5
5
5
0
0
8
8
8
0
0
0
0
8
0
0
0
0
0
0
8
32
8
8
8
8
0
0
2
16
0
0
4
0
8
8
16
0
16
16
0
8
0
8
1
2
0
0
16
0
2
2
2
2
1
1
0
16
8
8
8
8
1
0
16
8
8
12
0
0
0
0
16
2
2
20
0
4
4
0
0
0
16
8
8
8
8
8
0
8
8
0
0
0
8
8
16
16
0
0
8
0
0
8
0
0
0
8
8
0
0
0
1
0
16
0
0
8
1
0
1
1
0
0
0
0
0
62
16
16
16
16
1
1
1
8
0
0
8
8
0
0
0
1
0
0
0
4
1
16
0
0
8
8
8
0
0
32
8
33
0
0
8
8
24
24
24
0
8
0
0
6
0
16
0
16
8
0
0
9
0
8
8
8
0
0
0
0
8
17
0
0
0
0
0
2
16
0
2
0
0
0
0
0
0
0
6
8
0
8
0
0
0
0
8
8
16
0
0
0
0
0
0
2
8
0
0
1
0
8
0
8
8
8
16
24
8
8
0
2
2
0
0
0
0
0
0
8
2
0
0
0
8
8
0
32
0
0
52
0
0
9
16
1
0
2
2
4
0
0
16
16
8
8
0
16
0
2
8
8
0
0
0
0
0
0
8
8
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0
0
8
16
0
8
8
8
8
8
8
8
8
6
0
8
24
8
0
4
24
24
0
4
0
0
0
0
0
0
1
16
8
0
16
8
0
0
0
12
12
2
0
8
24
24
24
24
16
16
16
0
16
16
0
0
0
8
8
0
2
8
0
16
0
0
12
0
8
8
0
0
0
0
0
0
0
0
8
0
0
0
17
0
8
0
0
0
0
16
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
16
16
16
4
0
0
13
0
1
1
0
0
0
24
24
16
16
0
0
4
0
16
0
0
0
0
0
0
0
8
0
0
0
0
2
16
0
0
1
1
0
0
0
0
0
0
0
0
0
18
24
0
0
0
0
0
0
4
4
0
16
0
8
24
0
16
0
0
16
32
0
0
0
0
0
0
0
8
8
0
0
0
8
32
0
16
0
0
16
16
0
0
0
0
0
0
0
0
0
0
25
0
4
4
16
16
0
0
0
0
0
0
6
6
0
0
0
0
0
0
0
0
8
0
16
0
0
0
0
0
0
0
0
4
4
0
0
32
0
0
8
8
0
8
8
8
0
0
0
0
0
0
0
0
0
8
0
20
0
0
24
0
4
4
12
0
1
8
0
16
0
0
8
8
0
0
0
0
0
0
8
8
16
0
8
8
0
8
0
0
0
8
24
0
0
0
0
1
8
0
0
0
16
8
0
0
0
3
3
1
42
42
0
0
0
0
0
40
8
0
0
16
0
0
0
0
16
0
1
1
0
0
0
0
8
16
0
2
2
2
2
2
2
0
0
8
0
4
0
0
0
0
0
2
0
0
0
4
4
4
16
2
0
4
16
16
0
0
0
8
0
0
1
1
0
0
0
8
0
0
0
0
0
8
0
4
2
32
4
0
16
0
0
0
0
0
8
8
0
0
29
29
29
29
29
29
29
29
29
29
29
4
0
0
4
4
6
0
0
0
8
1
1
0
4
0
16
16
16
0
0
0
0
0
24
0
0
0
0
0
17
0
24
8
0
0
4
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
16
0
16
4
2
0
16
0
0
0
0
0
0
8
8
0
8
0
8
8
0
0
0
0
8
0
0
0
24
24
16
16
1
16
0
0
0
0
0
0
6
6
2
0
0
24
0
0
0
0
24
0
24
24
16
0
2
16
16
16
0
0
0
0
0
0
0
0
0
0
16
2
0
4
4
4
0
0
16
16
0
0
0
0
0
8
8
16
24
18
18
0
8
0
0
2
0
12
2
2
2
8
0
0
8
1
16
0
0
16
0
1
0
4
0
0
0
0
8
0
0
8
0
12
0
18
0
0
0
16
16
0
0
0
0
0
0
0
0
0
0
0
20
0
0
4
0
0
0
8
16
0
0
0
0
0
32
0
6
1
0
0
0
0
0
0
0
8
8
0
0
0
0
5
0
6
0
24
0
16
16
0
16
1
0
0
0
8
0
0
0
4
8
8
8
16
0
0
5
0
4
0
0
4
0
1
16
2
8
8
8
0
2
0
0
0
0
0
0
8
0
0
0
0
0
0
0
8
0
0
0
0
0
0
2
9
8
8
4
16
4
0
0
8
8
0
8
0
0
0
16
16
0
8
25
25
4
0
0
38
0
0
0
0
16
21
0
0
0
0
0
0
0
0
16
16
16
0
0
0
0
0
0
0
0
0
0
0
1
16
0
0
16
0
0
0
0
26
24
0
0
0
0
4
0
20
16
8
0
0
16
1
0
17
8
8
0
0
0
32
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
32
1
16
16
16
16
0
0
16
16
0
0
16
0
0
0
0
4
1
0
4
8
8
8
8
4
28
0
0
8
0
0
0
16
0
16
16
16
16
16
16
16
16
16
0
0
0
0
0
1
0
8
0
2
2
0
0
16
8
0
0
12
18
0
0
0
0
0
8
8
8
0
0
0
0
0
4
0
0
8
8
0
9
8
0
0
0
4
16
16
0
32
0
0
0
4
0
0
0
16
32
32
32
0
1
0
20
0
0
8
0
8
0
0
0
8
0
0
8
0
0
8
0
0
8
4
8
0
24
24
18
8
0
0
1
1
1
1
2
0
0
0
0
0
17
17
0
0
0
8
0
48
48
24
24
8
0
0
0
8
0
2
2
1
4
16
0
0
0
0
8
8
16
16
16
24
16
4
4
16
0
0
0
0
0
0
0
0
0
16
16
0
1
16
8
8
0
0
0
0
0
8
16
0
16
0
0
8
0
8
0
0
0
16
9
18
18
8
8
6
6
0
0
0
0
0
0
1
0
0
0
0
0
0
0
8
0
0
0
8
1
22
0
0
0
0
0
0
0
4
0
0
4
4
0
0
1
1
0
0
12
12
12
4
1
0
8
0
0
4
0
0
0
0
1
1
0
8
8
0
0
0
0
16
0
24
0
0
0
0
0
2
2
25
0
0
16
25
0
0
32
0
0
0
0
0
0
0
0
4
0
0
0
16
0
0
0
0
0
0
4
4
16
0
0
8
0
16
8
8
4
0
16
8
1
1
0
0
0
16
0
4
0
8
0
0
8
0
0
0
20
16
4
0
0
0
8
23
12
24
0
0
0
0
0
0
0
0
0
0
8
8
8
0
3
0
17
17
0
0
24
0
0
0
8
8
0
8
0
16
8
16
0
4
0
0
0
0
0
2
0
0
0
8
8
16
16
0
20
2
16
0
0
4
0
0
17
0
0
0
0
0
8
0
0
0
16
0
0
0
0
0
0
0
0
17
17
0
12
12
0
0
0
8
8
8
8
0
0
0
0
8
6
0
8
0
0
0
1
1
4
0
16
16
16
0
0
0
0
0
0
0
0
8
8
0
0
5
0
0
0
8
8
8
0
0
8
0
0
40
40
8
8
0
0
0
0
8
0
16
1
0
6
0
8
0
0
16
2
8
8
8
0
16
0
0
0
0
0
0
0
0
0
0
0
0
8
16
0
8
0
32
0
0
0
0
0
0
0
0
0
8
16
0
0
0
0
16
0
4
0
18
0
0
0
0
1
4
0
0
0
0
0
4
4
0
8
0
0
0
0
20
0
0
32
0
0
8
8
0
4
4
8
0
0
0
0
30
16
16
16
12
0
8
8
8
16
16
16
16
16
4
0
16
0
4
0
0
0
0
1
16
0
0
0
24
0
8
8
0
20
0
0
0
0
0
0
0
0
0
8
0
0
0
0
41
0
0
0
0
8
8
24
8
0
16
16
0
0
0
0
0
0
0
0
8
0
0
0
17
0
0
0
0
8
0
16
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
0
8
16
0
0
0
0
16
0
0
24
8
16
8
8
0
0
0
0
0
0
0
16
0
0
0
0
16
4
0
0
0
8
1
0
0
0
30
2
0
0
0
0
4
0
1
8
16
18
0
16
1
0
0
8
1
0
0
0
0
0
0
8
0
16
0
0
0
8
8
16
16
0
0
0
16
16
16
16
16
0
0
0
0
0
0
0
0
0
0
0
0
0
16
0
0