1
0
0
0
0
1
0
2
0
0
0
0
0
0
1
0
1
0
1
0
1
0
0
1
0
0
0
0
4
5
2
3
2
4
2
1
3
4
1
0
0
0
1
0
1
1
0
0
0
0
1
1
1
0
1
3
2
3
1
1
1
3
2
1
3
2
3
1
3
5
2
1
1
7
6
4
3
5
5
3
5
5
5
7
2
8
1
7
5
3
4
2
9
7
2
0
1
2
4
3
1
5
5
1
4
4
7
5
9
7
0
4
3
9
7
4
6
0
2
8
8
5
6
6
1
3
11
0
10
7
5
4
3
10
5
7
6
3
7
12
9
5
9
10
8
6
5
8
16
12
2
12
8
2
1
3
7
4
0
5
2
7
10
0
4
3
8
9
6
2
2
8
2
10
3
0
7
0
1
4
4
0
1
4
5
0
4
4
6
2
5
9
2
2
8
0
2
1
0
3
1
4
1
2
2
1
4
5
5
7
5
1
7
0
5
1
6
5
9
5
1
4
4
0
1
5
0
4
0
8
5
0
0
2
0
9
0
5
6
0
1
1
1
3
6
2
0
1
2
1
5
5
3
5
4
14
3
5
2
4
0
1
5
4
0
0
4
14
3
0
1
4
0
0
3
0
1
0
0
1
0
1
1
1
0
0
0
0
0
0
0
2
0
0
0
0
0
1
1
0
0
0
0
0
1
1
1
0
2
1
2
1
1
1
1
0
0
2
0
0
0
2
2
0
1
1
0
3
3
1
1
2
1
0
2
4
3
3
0
1
2
0
0
1
1
1
1
1
1
0
0
0
0
1
2
1
0
0
1
2
0
0
0
1
2
5
3
4
3
0
0
0
1
0
0
3
1
2
0
2
3
1
1
2
1
7
2
1
0
0
0
0
0
1
0
1
1
0
0
1
3
0
2
0
0
1
0
0
1
0
2
0
0
0
1
0
0
0
0
1
1
0
0
0
0
0
0
0
1
3
2
2
0
1
3
1
0
0
0
0
0
2
0
2
1
0
1
1
2
0
5
1
0
0
1
4
4
4
3
6
1
4
1
1
7
5
4
5
0
11
3
0
3
2
2
3
5
8
1
6
1
4
9
3
0
7
2
6
1
2
6
4
5
3
5
4
3
10
5
6
5
14
9
14
8
1
9
0
1
5
5
3
9
4
1
7
7
3
0
1
5
15
15
1
4
4
4
2
4
2
5
3
12
1
5
4
3
7
0
10
6
6
1
7
2
3
0
7
6
2
0
1
5
2
6
3
5
2
6
4
2
5
2
4
4
5
2
7
2
12
14
8
5
14
3
5
9
2
11
6
4
6
5
9
12
4
8
8
2
6
5
1
4
6
2
1
4
1
1
2
2
1
4
4
6
8
4
2
2
0
4
7
2
4
2
5
8
4
3
3
1
3
2
0
0
0
0
2
1
4
3
2
4
4
3
2
0
5
5
5
2
3
3
0
5
3
2
2
3
0
4
4
1
4
3
2
2
5
7
5
4
3
3
3
1
3
3
3
2
1
2
2
4
5
4
4
2
2
2
7
2
2
3
3
2
1
4
5
3
4
1
4
3
4
4
2
2
2
4
5
4
4
1
3
4
3
0
1
5
2
3
2
0
3
1
0
1
0
0
1
1
1
1
1
1
1
0
0
1
0
1
2
2
0
0
0
0
0
0
0
3
2
1
4
0
0
5
2
1
0
0
0
0
4
3
4
2
2
1
1
1
3
1
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
1
0
1
3
2
1
1
2
0
2
2
0
2
0
2
3
3
1
2
4
1
2
2
0
3
2
2
0
1
1
2
0
0
0
3
0
2
2
2
1
2
3
5
6
0
6
3
3
1
6
2
2
8
0
2
3
4
2
4
0
0
3
2
2
2
1
3
1
4
0
1
1
1
1
1
3
0
0
0
2
2
1
0
0
0
0
1
1
1
0
2
2
4
2
2
3
1
0
0
4
0
1
1
1
0
1
0
1
0
0
0
0
1
0
1
1
1
2
1
1
1
1
1
0
1
2
1
1
1
1
2
2
3
3
2
3
2
1
1
1
1
0
1
0
0
0
0
0
1
2
1
1
1
0
1
0
0
2
2
1
1
1
0
0
0
0
1
1
0
2
3
3
4
5
6
4
2
4
2
4
5
4
6
6
5
7
4
4
6
6
1
3
4
6
6
5
3
3
0
4
2
2
1
5
1
5
1
2
0
9
2
2
1
2
4
5
3
6
1
2
1
0
3
7
6
1
8
7
4
5
0
0
5
2
4
3
4
7
1
0
0
4
8
3
1
4
11
6
5
9
7
5
6
14
8
8
7
4
7
4
3
6
6
2
5
7
3
2
4
7
4
5
14
2
6
4
3
6
6
8
15
0
7
9
10
9
6
9
10
15
12
11
8
7
7
9
15
11
9
4
9
9
7
8
4
7
2
9
7
7
9
12
4
10
7
7
4
12
10
7
1
11
1
10
13
12
14
9
4
8
8
4
1
9
8
13
9
5
15
4
2
8
5
4
20
8
6
4
4
12
9
10
7
7
6
10
8
8
3
6
7
10
5
12
5
5
0
12
4
6
3
9
10
7
8
5
5
3
2
5
6
3
6
6
6
7
2
5
7
6
6
9
7
6
5
7
2
8
6
4
7
7
2
6
6
4
3
4
7
0
7
6
11
1
11
9
5
4
15
2
17
12
3
16
7
9
0
15
3
9
7
8
6
5
3
5
1
5
5
7
9
3
12
9
7
2
6
9
7
8
6
7
8
6
21
1
11
5
7
8
6
9
13
8
5
3
13
0
9
27
24
1
12
5
1
15
3
9
6
11
5
3
5
15
7
10
6
7
5
17
4
12
8
11
6
8
11
1
8
6
5
12
13
0
7
16
9
7
7
7
8
4
7
4
3
10
21
6
1
8
3
2
5
2
3
5
3
5
3
6
4
0
8
3
4
6
3
0
9
2
5
13
3
7
3
4
4
10
1
4
13
7
12
7
10
8
1
7
3
6
10
5
9
0
6
3
2
4
6
6
4
10
15
6
3
3
3
3
3
3
2
6
5
4
4
5
9
5
9
6
1
1
1
5
16
3
6
6
9
3
8
3
4
8
5
5
8
7
6
9
6
5
1
5
4
1
8
5
8
2
4
2
5
3
1
9
2
3
5
2
2
2
1
3
3
2
1
4
3
4
5
3
3
3
1
3
2
1
2
1
1
3
1
3
1
2
1
1
1
2
2
2
1
0
0
2
0
1
2
0
3
0
2
1
2
1
2
0
0
0
1
0
0
0
0
1
0
0
1
3
5
7
0
4
7
3
4
2
1
1
0
0
1
0
1
1
2
0
1
0
0
1
1
0
1
0
0
0
1
1
0
0
1
1
0
0
1
1
0
0
2
4
4
2
0
0
1
0
4
2
0
4
2
2
0
2
2
0
0
0
0
1
0
3
3
4
0
1
2
2
3
3
3
2
3
5
5
2
2
0
0
0
1
0
1
2
0
1
2
1
1
0
2
4
0
2
1
2
2
1
2
0
5
5
2
1
3
2
2
2
3
2
4
2
2
2