Count
0
0
0
0
0
0
1
3
1
0
0
0
0
0
1
0
0
1
2
1
1
1
0
2
0
0
0
0
0
0
0
0
0
0
0
0
3
4
0
0
5
9
0
0
2
2
0
0
0
0
0
1
1
1
1
1
0
4
0
0
3
1
1
0
1
1
0
0
0
0
0
0
2
0
0
0
0
1
0
1
1
0
0
0
0
0
0
0
0
0
2
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
3
1
2
1
0
2
0
0
1
0
0
0
0
0
0
0
0
0
1
3
2
1
1
1
1
0
0
1
1
1
0
0
0
0
2
1
0
0
0
0
0
0
1
2
0
2
2
1
0
0
0
0
0
0
5
9
6
8
4
1
0
0
0
0
0
0
4
1
2
0
4
2
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
1
3
2
1
0
0
0
0
0
0
2
1
1
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
2
2
5
4
6
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
3
1
2
1
3
1
0
0
1
0
2
0
0
0
0
0
0
6
2
0
3
1
3
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
1
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
2
1
2
0
0
0
0
0
0
0
0
0
1
0
0
1
2
0
1
0
2
0
0
1
1
0
2
1
2
2
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
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
1
0
1
0
1
1
0
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
0
0
2
1
0
0
0
0
0
0
0
2
1
1
1
0
0
0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
0
0
1
0
0
2
0
2
0
4
5
0
1
5
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
3
1
0
1
3
0
0
0
1
5
6
2
4
4
0
0
0
0
0
0
0
1
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
2
0
1
1
1
2
0
0
0
0
0
0
0
0
0
0
0
0
0
1
2
1
2
0
0
0
0
0
0
0
0
0
0
0
0
0
2
0
0
0
1
0
2
2
1
2
3
1
1
0
0
0
0
0
0
0
0
0
2
1
1
0
0
2
1
3
0
0
0
0
0
0
0
0
0
0
0
2
1
0
1
1
0
0
1
1
0
0
1
1
3
0
0
0
0
0
0
0
0
0
0
3
0
0
0
0
1
2
1
3
3
0
2
0
0
0
0
0
0
1
0
0
2
3
2
0
0
0
0
0
0
1
1
0
0
0
1
0
0
0
0
0
0
2
0
0
2
0
2
3
1
3
1
1
3
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
1
1
0
0
0
0
0
0
1
0
1
3
1
1
2
1
0
3
3
1
0
0
0
0
0
0
2
1
2
1
0
1
3
0
2
2
3
4
0
0
0
0
0
0
1
0
0
0
1
0
1
0
1
3
2
2
4
0
5
5
5
4
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
1
0
1
0
0
0
3
0
0
0
1
0
1
1
0
1
2
0
0
2
0
2
0
0
1
2
1
0
0
0
0
0
0
0
0
0
0
2
0
1
1
0
0
0
0
0
1
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
3
5
7
3
0
0
0
1
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
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
0
0
2
1
3
0
0
5
8
3
9
1
4
0
0
0
2
1
1
3
0
2
1
0
1
0
0
0
0
0
0
0
0
1
0
0
0
0
1
1
0
1
0
0
0
0
0
0
0
3
0
0
0
2
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
2
0
0
0
0
0
0
1
1
1
0
0
0
0
0
1
0
0
0
0
0
0
0
5
0
0
0
2
0
2
0
0
1
0
0
1
0
0
0
1
1
0
2
1
1
1
1
0
2
2
1
0
2
3
1
0
2
1
3
0
0
3
3
2
0
0
1
1
0
1
0
0
0
0
0
0
4
2
0
4
0
0
0
0
1
0
1
1
0
0
0
0
0
0
1
3
2
4
0
2
0
0
0
0
0
0
1
0
1
0
1
0
1
0
0
0
1
0
1
0
0
0
0
1
0
0
0
0
0
0
0
1
1
3
1
0
1
2
2
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
1
0
2
0
0
2
1
0
0
0
0
0
0
0
2
1
4
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
2
0
0
0
0
0
0
0
1
1
0
2
1
2
0
2
0
0
0
0
0
0
2
0
3
1
0
0
1
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
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
2
0
0
0
1
1
0
0
1
0
0
0
0
1
0
0
0
1
1
0
0
0
0
0
2
3
0
2
1
0
0
2
0
1
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
0
0
0
0
0
0
0
0
0
0
0
2
0
1
1
1
2
4
3
0
1
2
1
0
0
0
0
0
1
0
0
0
0
1
1
0
0
0
0
0
0