10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
1
1
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
2
10
10
2
10
1
10
10
10
1
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
1
10
1
10
1
10
1
10
10
10
10
1
10
1
2
10
10
10
1
10
1
10
10
1
10
10
10
10
1
10
10
10
1
10
1
10
10
10
10
1
10
10
10
1
10
1
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
1
10
10
1
10
10
10
10
2
1
10
10
10
1
10
2
10
10
10
10
10
10
10
1
1
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
1
10
1
10
10
10
10
2
10
2
10
10
1
10
10
10
1
10
1
10
10
10
10
10
10
10
1
10
10
1
10
10
10
10
1
10
10
1
10
1
1
10
10
10
10
10
10
1
2
10
10
1
10
10
10
1
1
10
10
1
10
10
10
10
10
1
1
10
10
1
10
1
10
10
10
10
10
1
10
1
10
10
10
10
10
1
10
10
10
1
10
10
1
1
10
1
1
10
10
10
1
1
10
1
10
10
10
10
10
10
10
10
10
10
1
1
1
10
1
10
1
1
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
1
10
1
10
10
10
1
10
10
10
1
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
1
10
10
1
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
1
1
10
1
10
1
10
10
10
1
10
1
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
1
10
10
2
10
1
10
1
1
10
10
10
1
1
10
10
1
1
10
10
10
10
10
10
10
1
1
10
1
10
10
10
10
10
1
1
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
1
1
10
10
10
1
10
1
10
1
10
10
10
10
10
1
10
10
1
10
1
10
10
2
10
10
10
10
1
10
10
1
1
10
1
1
10
10
10
10
1
10
1
10
10
10
10
1
10
1
10
10
1
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
2
10
10
2
10
1
10
10
1
10
1
10
10
10
1
1
10
10
1
10
1
1
2
10
1
10
10
10
10
10
10
1
10
10
1
10
1
10
10
10
10
10
10
10
5
10
10
10
10
10
1
10
10
1
10
1
10
1
10
1
10
1
10
1
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
1
10
10
10
10
1
10
10
1
10
1
10
10
10
10
10
10
10
1
10
10
1
10
10
10
10
10
10
1
10
1
10
10
10
10
10
1
10
1
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
1
10
10
1
1
10
1
10
10
2
10
10
10
1
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
1
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
1
10
10
1
10
10
1
10
10
10
1
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
1
1
10
10
10
1
10
1
10
10
10
10
1
10
10
10
1
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
1
10
10
10
10
10
10
10
10
1
1
10
10
1
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
2
1
10
10
10
10
10
10
10
1
1
1
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
1
1
10
10
10
1
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
1
10
10
1
10
10
10
10
10
10
1
1
1
10
10
10
10
10
10
10
10
10
10
10
1
10
10
1
10
10
10
10
10
1
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
1
1
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
1
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
1
10
10
10
1
1
10
10
1
10
10
10
10
10
10
2
1
10
1
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
2
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
1
10
10
1
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
1
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
1
10
10
10
1
10
10
1
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
1
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
1
10
1
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
10
1
10
10
10
10
1
10
10
10
10
10
1
10
1
10
1
10
10
1
2
10
1
10
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
10
10
2
10
10
1
1
10
10
1
10
10
1
10
10
10
10
10
10
10
10
1
10
2
1
1
10
1
10
10
10
1
2
10
10
10
10
10
10
10
1
1
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
2
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
2
10
2
1
10
10
2
1
10
10
10
1
1
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
1
10
1
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
1
10
1
10
10
10
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
1
10
1
10
1
10
1
1
10
10
10
1
1
10
1
1
1
10
10
10
1
10
1
1
10
10
1
10
10
1
1
10
10
1
1
10
1
10
10
10
10
2
10
1
2
10
10
1
10
10
1
10
10
10
1
1
10
10
10
10
10
10
10
10
1
10
1
10
1
1
10
1
10
1
10
10
2
1
1
10
10
10
10
10
10
1
10
1
10
1
10
10
10
10
1
10
10
10
10
10
1
10
10
1
10
10
1
10
10
10
1
10
10
1
10
1
10
10
10
10
10
10
10
10
1
10
10
10
10
1
1
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
1
1
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
1
1
10
10
1
10
10
1
10
1
1
10
10
1
10
1
10
10
10
10
10
10
1
10
10
1
10
10
10
10
10
10
10
10
10
1
10
10
1
1
10
1
1
10
1
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
1
1
1
1
10
10
10
10
10
10
10
10
1
10
10
10
1
10
10
1
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
1
10
10
10
1
10
10
1
1
10
10
10
10
10
1
1
10
1
10
10
1
10
1
10
10
10
1
1
10
1
10
10
1
10
1
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
1
10
10
1
10
1
10
10
1
10
1
10
1
10
10
10
1
10
10
10
10
10
1
10
10
10
10
1
10
10
1
10
10
10
1
10
1
1
10
10
1
10
10
10
1
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
1
10
10
10
1
1
10
2
10
1
10
10
10
10
10
10
1
10
1
10
10
1
10
1
10
10
10
10
10
10
1
10
1
1
10
1
1
10
10
10
10
1
10
1
10
1
1
1
10
1
1
1
10
10
1
10
1
10
1
10
10
10
1
10
1
10
10
10
1
10
1
10
10
10
1
10
10
10
1
10
10
10
10
10
1
10
10
10
1
10
1
10
10
1
10
1
10
1
10
2
10
10
10
10
10
10
1
10
10
10
10
1
1
10
10
10
10
10
10
10
10
1
10
10
1
10
10
1
10
1
10
10
10
10
10
10
1
10
10
1
10
10
10
10
10
10
10
1
10
10
10
10
10
1
10
1
10
10
1
10
1
10
1
10
10
10
10
1
10
1
10
10
10
10
1
10
1
10
10
10
10
1
1
10
10
10
1
10
10
1
10
1
10
1
1
10
1
10
10
10
1
10
1
10
10
10
1
10
10
10
10
10
1
10
1
10
1
10
1
10
1
10
10
1
10
10
10
10
10
1
1
10
10
10
10
10
10
1
10
1
10
1
10
1
10
10
1
10
1
10
1
10
10
1
1
10
1
1
10
1
10
10
1
10
1
10
1
10
10
10
10
1
1
1
10
10
1
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
1
10
1
1
10
10
10
10
10
10
10
10
10
10
10
1
10
2
10
1
10
10
10
1
10
1
1
1
10
1
10
1
10
1
10
1
10
10
10
1
10
1
10
10
1
10
1
10
1
10
1
1
10
10
1
10
10
10
10
1
1
10
10
10
2
10
10
10
10
2
10
1
10
1
10
10
10
1
10
1
10
2
10
1
1
10
10
10
10
10
10
10
10
1
10
10
1
10
10
10
10
1
10
10
10
10
2
10
1
10
10
10
1
10
10
10
10
10
10
1
10
10
10
10
10
1
10
1
10
1
10
10
10
10
10
10
10
1
1
10
10
10
1
10
2
10
10
10
10
10
10
10
1
10
10
1
10
10
1
10
10
1
10
1
10
10
10
1
1
10
10
10
1
10
1
10
10
10
10
1
10
10
1
10
10
10
1
10
10
10
1
10
10
10
1
10
1
10
1
10
1
10
1
10
1
10
1
10
1
10
1
2
10
2
10
10
10
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
1
10
10
10
10
10
1
10
1
10
10
10
1
10
10
1
1
2
10
1
10
1
10
10
1
10
10
10
1
10
10
10
1
10
1
1
10
10
1
10
10
10
10
10
1
10
1
10
1
10
1
10
1
10
10
10
1
10
1
10
1
10
10
1
10
10
1
10
10
10
10
10
10
10
1
10
10
10
1
10
1
10
1
10
10
10
1
10
5
10
1
10
1
1
10
10
10
1
1
1
1
1
1
10
10
5
1
10
10
10
10
10
1
10
1
10
10
10
10
1
1
10
10
1
10
10
10
1
10
10
10
10
10
10
10
1
10
10
10
10
5
10
10
10
10
10
1
10
10
1
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
1
10
1
1
10
10
10
10
1
10
10
10
10
10
1
10
10
1
10
10
2
1
10
10
10
1
10
10
1
10
10
1
10
1
1
1
10
10
10
10
10
10
1
10
1
10
10
10
2
1
10
10
10
10
10
1
10
10
10
3
10
10
1
10
10
1
10
1
10
1
10
1
10
1
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
1
2
10
1
1
10
1
10
1
1
10
1
1
10
10
1
10
10
1
10
10
10
10
10
10
1
10
10
10
1
10
1
10
1
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
1
10
1
10
10
10
1
1
1
10
10
10
10
1
1
1
10
10
10
1
10
1
10
1
10
10
10
10
1
10
10
10
10
1
10
10
10
10
10
10
10
1
10
1
10
1
10
10
1
10
10
10
10
10
1
10
10
10
1
10
1
10
10
10
10
10
1
10
1
10
1
10
1
10
10
10
1
1
1
10
10
10
10
10
1
10
1
10
1
10
10
10
10
1
1
10
10
10
10
10
10
1
10
10
1
10
1
10
1
10
1
10
1
10
1
10
10
10
1
2
10
10
10
1
10
1
1
10
1
1
1
10
1
10
10
10
1
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
1
10
10
10
1
10
10
1
10
1
10
10
10
10
10
10
10
10
1
10
1
10
1
10
10
10
10
10
1
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
1
10
10
1
10
10
10
10
10
10
10
10
10
1
1
1
10
10
10
10
10
10
1
10
10
10
10
1
10
10
10
1
2
10
10
10
1
2
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
1
1
1
1
10
10
10
10
10
10
10
10
10
1
10
10
10
10
1
10
10
10
10
1
10
10
10
10
1
1
1
1
10
10
10
10
10
10
10
10
10
1
1
10
10
10
10
1
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
1
10
10
1
10
10
10
5
1
10
10
1
10
10
1
1
10
10
10
1
1
1
1
10
10
1
1
10
10
1
10
10
10
10
10
10
5
10
10
10
10
10
1
10
10
10
10
10
10
10
1
10
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
1
10
10
2
1
1
1
10
1
10
10
10
1
10
10
10
10
10
10
10
7
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
1
10
10
1
10
10
10
10
10
10
10
1
1
10
10
10
10
10
10
10
10
10
10
10
2
10
1
10
10
1
10
10
10
10
10
10
10
10
1
1
1
10
10
10
10
10
10
10
10
10
10
1
10
1
10
2
10
1
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
5
10
5
10
10
10
10
10
10
10
10
10
10
1
10
10
5
10
10
1
10
10
1
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
1
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
1
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
1
10
10
2
10
1
2
10
10
10
10
10
10
10
1
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
1
10
10
1
10
10
10
10
10
10
10
10
1
10
2
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
1
10
10
10
10
10
10
1
10
10
10
10
10
10
1
10
10
10
10
10
10
10
1
10
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
1
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
1
10
10
1
10
10
10
10
10
10
10
10
10
10
1
1
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
1
10
10
10
1
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
1
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
1
10
10
1
10
10
10
10
1
1
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
1
10
10
10
1
10
10
10
10
1
10
10
10
10
10
10
1
10
10
1
10
1
1
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
1
10
10
1
10
10
10
1
10
10
10
1
1
10
10
10
10
1
10
10
10
10
10
10
10
1
10
10
1
10
10
10
10
10
10
10
10
10
2
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
1
2
1
10
10
2
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
1
10
10
1
10
10
10
1
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
1
1
10
1
10
10
1
10
10
10
10
10
10
1
1
10
10
10
10
10
10
10
10
10
10
10
10
1
1
10
10
10
10
1
1
1
1
10
10
10
10
10
10
1
10
10
10
1
1
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
1
10
10
10
1
1
10
1
10
1
10
10
10
1
10
10
10
1
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
1
10
1
10
10
1
10
10
10
10
10
10
10
1
1
10
1
1
1
1
10
1
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
1
10
10
10
10
1
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
1
10
10
10
1
10
1
1
10
1
10
10
10
1
10
1
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
1
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
1
10
10
10
10
10
10
1
1
10
10
10
10
10
10
1
10
10
10
10
10
10
1
1
10
10
10
10
10
10
1
1
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
1
10
10
1
10
10
10
1
10
10
10
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
1
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
2
10
1
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
1
10
1
1
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
1
1
10
10
10
10
10
10
10
10
1
10
10
10
10
1
10
10
10
1
10
10
10
10
2
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
1
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
2
1
10
1
10
10
10
2
10
1
1
10
1
10
10
10
10
10
1
10
10
10
10
1
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
1
10
1
1
10
10
10
10
10
10
10
10
10
1
10
1
10
1
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
2
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
2
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
1
10
10
10
1
10
10
10
10
10
10
10
10
10
10
1
1
10
10
10
1
1
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
1
10
1
10
10
10
10
10
10
10
10
1
10
10
10
10
1
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
1
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
1
10
10
10
10
1
10
10
10
10
10
10
1
1
1
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
1
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
1
10
10
10
10
10
2
10
10
10
1
1
1
10
1
10
10
10
10
1
1
10
10
10
10
10
10
1
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
10
10
1
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
1
10
2
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
1
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
2
10
10
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
2
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
1
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
1
10
1
10
10
10
10
1
10
10
10
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
1
1
10
1
1
10
10
1
10
1
2
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
10
10
10
1
10
10
10
10
1
1
10
10
10
2
10
10
1
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
1
10
10
10
2
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
1
1
10
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
1
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
1
10
1
10
10
1
10
1
10
10
1
10
10
10
10
10
1
1
10
10
10
1
10
10
10
1
10
10
10
10
10
10
1
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
1
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
2
1
10
10
1
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
1
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
1
10
10
1
10
10
10
10
1
10
2
10
10
10
10
1
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
1
10
10
10
10
10
1
1
10
10
10
1
10
1
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
2
10
10
10
1
10
10
10
10
1
1
1
10
10
10
10
10
1
1
10
10
1
10
10
10
10
10
10
1
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
1
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
1
10
1
1
1
1
1
1
1
10
10
1
10
10
10
1
10
10
10
1
10
1
10
1
10
1
1
1
10
1
10
1
10
1
1
1
10
1
10
1
10
10
10
1
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
2
1
10
10
10
1
10
1
10
1
1
10
10
10
1
10
10
10
10
1
1
1
10
10
10
2
10
10
10
5
10
10
10
1
10
10
10
1
10
2
10
10
10
1
1
10
10
10
10
10
10
1
1
10
1
10
10
10
10
10
1
10
1
2
10
10
10
10
10
10
10
10
2
10
1
2
1
10
1
10
1
1
1
10
1
10
10
2
10
10
10
1
10
10
10
2
1
2
1
1
10
1
10
10
1
10
10
1
10
10
10
1
10
1
10
10
10
10
10
10
10
1
10
1
10
10
10
1
10
1
1
10
10
10
10
10
10
10
1
10
1
1
10
10
1
10
10
10
10
2
10
10
1
10
1
10
10
10
1
1
1
10
10
10
10
1
10
1
10
10
10
1
10
10
10
1
10
10
10
1
10
1
10
1
1
10
1
10
1
10
1
10
1
10
10
10
2
10
2
1
10
10
1
1
10
10
10
1
10
1
10
10
1
10
1
10
1
10
10
1
10
10
1
10
1
10
1
1
1
10
10
10
10
1
10
1
10
10
1
1
10
1
10
10
10
10
10
1
10
10
10
1
10
10
10
1
1
10
10
1
1
10
1
10
10
1
10
1
10
10
10
1
10
10
10
10
10
10
10
10
1
10
1
1
1
1
10
10
10
10
1
10
1
1
1
1
10
1
10
10
10
10
1
10
1
10
1
1
10
10
10
10
10
10
10
10
1
2
10
2
10
1
10
1
10
1
10
10
10
1
1
10
10
10
10
1
10
1
10
10
10
10
1
1
10
1
10
1
10
10
1
2
10
10
10
1
10
1
10
1
10
1
10
10
10
10
1
10
10
10
1
10
10
10
1
10
1
10
1
10
10
10
10
10
10
10
10
10
10
1
10
10
1
1
10
10
1
10
10
10
10
10
1
10
10
10
1
10
10
10
1
10
10
10
10
10
1
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
1
10
1
10
10
10
1
10
1
10
1
10
1
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
1
10
1
10
1
10
1
10
1
10
1
10
1
10
1
10
1
10
1
10
1
10
1
10
1
10
10
10
1
10
10
10
1
10
1
10
1
10
1
10
1
10
1
10
1
10
1
10
1
10
10
1
1
1
1
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
1
10
1
10
1
10
1
10
1
10
10
1
10
10
10
1
10
10
10
1
10
1
10
1
10
1
10
1
1
10
1
10
10
1
10
1
10
1
10
1
10
1
10
1
10
10
1
10
1
10
10
10
1
10
1
10
10
1
10
10
10
10
10
1
10
1
2
10
2
10
10
1
10
1
10
1
10
2
10
1
10
10
1
1
10
1
10
10
10
1
10
1
10
1
10
1
10
1
10
2
10
1
10
10
10
10
10
1
10
1
10
10
1
1
10
10
1
10
1
10
1
1
10
10
1
10
1
10
10
1
10
2
10
1
10
1
10
1
10
1
2
10
10
10
10
1
10
1
10
10
10
1
10
10
10
10
1
10
1
10
1
10
10
10
1
10
1
10
1
10
1
10
1
10
10
10
10
10
10
1
10
2
10
1
1
1
10
1
10
1
10
1
10
10
10
10
2
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
1
10
10
10
10
1
10
10
10
1
10
1
10
10
10
10
10
10
10
1
10
10
10
10
10
1
10
1
10
1
10
1
10
10
1
1
10
10
10
10
10
10
2
10
10
10
10
1
10
10
10
1
10
1
10
1
10
1
1
10
10
1
10
10
10
1
10
1
10
10
1
10
1
10
10
10
10
1
10
1
10
1
10
1
10
1
10
1
10
1
10
1
10
1
10
10
10
10
10
10
1
10
10
1
10
1
1
10
10
1
10
1
10
10
2
10
10
10
1
2
1
10
1
10
1
10
1
10
1
10
10
1
1
10
1
10
1
10
10
1
1
10
1
10
1
1
10
1
10
10
10
1
1
10
1
10
10
1
10
1
2
10
10
10
1
10
1
10
1
10
10
10
10
10
10
2
1
2
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
1
10
1
1
10
1
1
1
1
10
1
10
1
10
1
10
10
10
10
1
10
1
10
2
10
1
10
1
10
1
10
1
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
1
10
10
1
10
10
1
10
1
10
10
10
1
10
1
10
1
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
1
10
10
10
1
5
10
10
1
10
1
10
1
1
10
1
1
10
1
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
1
10
1
10
10
10
1
10
1
1
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
1
10
1
1
10
10
1
10
10
10
10
10
1
10
10
1
10
1
10
1
10
10
10
10
10
10
1
10
1
5
1
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
1
10
10
1
10
1
10
1
10
10
1
10
1
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
1
10
10
10
1
10
1
10
10
10
1
1
1
10
1
10
1
10
1
10
1
10
10
10
10
10
1
1
1
10
1
1
1
10
10
1
10
10
1
10
1
10
10
10
1
10
10
10
10
10
2
10
1
10
1
10
1
10
1
10
10
1
10
1
10
10
10
10
10
10
1
1
2
10
1
10
1
10
1
10
1
1
10
10
2
10
10
1
10
1
10
1
1
2
10
1
10
10
10
1
10
2
10
10
10
1
10
2
10
10
10
1
10
1
10
1
10
1
10
2
10
1
2
1
10
10
10
1
10
1
10
10
10
1
1
10
10
10
10
1
10
1
10
1
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
1
1
10
10
10
10
10
10
10
1
1
1
10
10
10
1
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
1
1
10
10
10
10
10
2
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
1
1
10
1
10
10
10
10
10
10
1
1
1
10
1
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
1
10
10
10
10
10
1
10
1
10
10
2
10
10
1
10
10
1
10
10
10
10
10
10
10
10
2
10
10
10
10
10
10
10
10
10
10
10
10
10
1
1
10
1
10
10
10
10
2
1
10
1
10
10
1
10
1
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
1
10
10
10
1
1
10
10
10
10
1
10
10
1
10
1
10
1
10
1
10
1
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
1
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
1
10
1
10
10
1
10
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
2
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
2
10
10
10
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
1
10
10
1
10
10
10
1
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
1
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
1
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
1
10
1
1
10
10
10
10
10
10
1
10
10
10
10
2
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
2
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
10
10
1
1
10
1
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
2
10
10
10
10
10
1
10
10
10
10
10
10
2
10
10
10
10
1
1
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
2
10
1
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
1
10
1
10
10
10
1
2
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
1
1
10
10
10
1
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
1
10
1
10
10
10
10
10
10
1
1
1
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
1
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
1
10
10
10
10
1
10
10
10
10
10
10
1
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
1
1
10
10
10
10
10
10
10
10
10
10
10
1
10
10
1
10
1
10
10
10
10
10
10
10
10
10
2
10
10
10
10
10
10
10
10
10
1
10
10
1
10
10
10
10
10
10
10
10
10
1
10
10
2
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
1
10
10
10
1
10
10
10
10
10
10
2
10
10
1
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
1
10
10
10
2
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
1
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
1
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
2
2
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
2
10
10
10
10
10
10
1
10
1
10
1
10
10
10
10
10
10
10
10
10
1
10
10
1
10
10
1
10
10
10
10
2
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
1
10
10
1
1
10
10
10
1
10
1
10
10
10
10
10
10
2
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
3
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
1
10
1
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
1
10
10
1
2
10
1
10
10
1
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
10
1
1
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
1
10
1
10
10
10
10
10
1
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
2
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
1
10
1
10
10
1
2
10
1
1
1
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
10
1
10
10
2
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
2
10
1
10
10
10
10
10
10
2
10
10
10
10
1
10
1
10
10
10
10
10
1
10
10
10
1
10
1
10
10
1
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
1
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
2
10
10
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
1
1
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
1
1
10
10
10
1
10
1
10
10
1
1
10
10
10
10
10
10
10
1
10
10
1
10
1
10
10
10
10
1
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
1
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
1
1
10
1
1
10
10
1
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
1
2
10
10
1
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
3
10
1
10
10
10
10
1
10
10
10
10
10
1
10
10
10
1
10
10
10
10
10
10
10
10
10
1
10
10
10
1
2
10
10
10
10
10
1
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
1
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
1
10
1
10
10
10
10
1
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
2
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
1
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
1
1
10
10
10
10
10
1
10
10
1
10
1
1
10
10
10
10
10
10
10
10
10
10
1
10
10
10
1
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
1
10
1
1
1
1
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
1
10
10
10
1
10
10
1
10
10
10
1
10
10
1
10
10
1
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
2
1
2
10
10
10
1
10
10
10
10
10
10
10
10
2
10
1
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
2
10
10
10
10
10
10
10
1
1
10
10
10
10
10
1
1
1
10
10
10
10
10
10
1
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
1
10
2
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
1
10
1
10
1
10
1
10
10
10
2
10
10
10
10
1
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
1
10
10
10
10
1
1
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
1
10
1
1
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
1
1
1
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
1
10
10
10
10
2
10
2
10
10
1
10
10
1
10
10
1
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
1
1
1
2
10
10
10
10
1
10
1
10
1
10
10
10
10
1
10
10
10
10
10
10
10
10
1
1
10
10
10
10
1
10
10
10
1
1
10
2
10
10
10
10
10
10
10
1
1
10
10
10
10
10
1
10
10
10
10
10
10
10
1
10
10
10
10
10
10
2
10
10
10
10
10
10
10
10
10
10
10
1
10
10
1
10
10
1
10
10
10
10
2
1
2
10
10
10
10
1
2
1
1
10
1
10
10
10
10
1
10
10
10
10
1
1
10
10
10
2
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
1
1
10
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
1
10
10
10
10
10
1
1
10
1
10
2
10
10
10
10
1
10
10
10
1
1
1
1
1
10
10
10
10
10
10
10
1
10
10
1
1
10
10
10
10
2
1
10
1
10
10
10
10
10
10
1
10
10
10
10
1
10
10
10
10
10
10
10
1
10
10
10
10
1
10
10
10
1
10
10
10
10
1
1
1
10
1
10
10
10
1
10
10
10
10
10
1
1
10
1
10
10
10
10
10
10
10
1
1
10
10
10
1
10
1
10
1
10
10
10
10
10
10
10
10
10
2
1
1
10
10
1
1
10
10
10
10
10
1
10
10
2
10
1
10
10
10
1
10
10
10
10
10
10
10
10
10
1
1
10
10
10
1
10
10
10
1
10
10
1
10
10
10
10
10
10
10
10
1
10
10
10
1
1
10
1
10
10
10
10
1
1
10
10
10
10
2
10
10
10
10
10
10
10
1
10
10
1
10
10
1
10
10
10
1
10
10
10
1
2
10
1
10
10
10
10
10
10
10
1
10
10
10
10
1
1
10
1
10
10
1
1
1
10
10
1
10
10
10
10
1
10
10
10
10
1
10
10
1
10
1
10
1
10
10
1
10
1
10
1
1
1
1
10
10
10
10
10
1
10
10
10
1
10
10
10
1
10
10
10
2
1
10
10
10
10
10
10
10
10
10
10
10
10
2
10
10
10
10
10
10
10
10
10
10
10
10
1
1
1
10
10
10
10
10
1
10
10
10
10
10
2
1
10
10
1
10
10
10
10
1
1
10
1
10
1
10
10
10
10
1
10
10
10
10
10
10
10
1
10
1
10
1
10
10
10
1
10
10
10
10
10
10
1
10
1
1
1
1
10
1
1
10
1
10
10
10
10
10
10
10
1
1
10
1
10
10
10
1
1
10
10
1
10
10
10
1
10
1
1
10
10
10
1
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
1
1
10
1
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
10
10
10
1
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
1
10
10
1
10
10
10
10
10
10
1
10
10
10
10
10
1
1
10
1
10
10
10
1
10
1
1
1
10
10
1
10
10
10
10
10
10
10
10
10
1
10
1
10
10
1
10
1
10
10
10
10
10
1
10
10
1
10
10
10
10
10
10
1
10
10
10
10
10
1
10
1
1
10
10
1
10
10
10
10
1
10
10
1
1
10
1
1
1
10
1
1
10
10
10
1
1
10
1
10
1
1
1
10
1
1
1
1
10
10
10
10
10
10
10
1
10
10
10
1
10
1
10
1
1
1
10
1
10
1
1
10
10
1
1
1
1
10
1
1
10
10
10
1
10
1
1
10
1
1
10
10
10
10
10
10
10
1
10
10
10
1
10
1
10
10
1
10
1
10
10
1
10
1
10
10
10
10
10
10
10
1
1
10
10
1
10
10
10
10
10
10
1
1
1
10
10
10
1
1
10
10
1
2
10
10
10
2
1
1
1
1
1
1
1
1
10
10
1
1
10
10
10
1
10
1
1
10
10
10
1
1
1
1
2
1
1
1
1
10
2
10
10
1
1
1
10
1
1
1
10
10
10
1
1
10
10
10
1
1
10
1
10
10
10
10
1
1
1
10
10
10
1
10
1
10
1
10
1
1
1
1
1
1
1
10
1
10
1
1
1
1
1
10
1
10
10
1
10
10
10
10
1
1
1
10
1
10
10
10
1
10
10
10
10
10
1
10
1
10
1
1
10
10
1
10
10
10
1
10
1
10
1
1
10
10
10
1
1
10
1
1
1
10
1
10
10
10
10
1
10
1
10
10
10
1
10
10
10
10
10
1
1
1
1
1
1
1
1
10
10
10
1
1
10
10
10
10
10
10
10
10
1
1
1
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
1
10
10
10
1
1
1
1
10
1
10
1
1
1
1
10
1
1
10
10
1
10
10
10
10
1
1
1
1
10
1
1
10
1
1
10
10
1
1
10
1
1
1
10
1
10
10
10
10
10
10
1
1
1
10
1
10
10
10
1
10
10
1
10
10
2
10
10
10
10
10
1
2
10
10
10
1
1
1
10
1
1
1
1
10
1
10
1
2
1
10
1
10
1
10
1
10
10
10
10
10
10
1
1
10
1
10
1
10
1
10
1
10
10
1
1
10
1
1
10
10
10
1
1
1
10
10
10
1
1
10
10
10
1
1
10
1
1
10
10
1
1
10
10
10
1
1
1
10
10
1
10
10
1
10
1
10
10
10
10
10
10
1
10
10
10
10
1
1
1
1
10
10
10
1
10
1
1
1
10
10
10
10
1
10
1
1
1
10
1
10
1
10
1
10
10
10
10
1
1
10
10
1
1
10
10
1
10
10
10
10
1
1
1
1
10
1
10
10
1
10
10
10
10
2
10
2
10
1
1
10
1
1
1
10
10
1
1
10
1
10
10
10
10
1
1
1
1
10
10
10
1
10
10
10
10
1
10
2
1
10
10
10
10
1
1
10
10
10
10
10
10
1
10
1
10
1
1
10
1
10
10
10
10
10
10
10
10
10
1
10
10
10
10
1
1
10
1
10
1
1
10
1
10
10
2
1
10
1
10
10
1
10
10
10
10
10
10
10
10
10
10
2
10
10
1
10
1
1
10
10
10
10
10
1
10
1
10
10
1
10
10
1
10
1
10
10
10
10
1
1
10
10
1
10
1
10
10
10
1
10
10
1
10
1
10
10
10
10
1
10
10
1
10
10
10
10
1
10
1
10
1
10
10
10
1
10
10
10
1
1
1
10
1
10
10
10
10
10
10
1
1
1
1
10
10
10
1
10
2
1
2
1
1
1
10
10
10
10
10
1
1
1
1
1
10
10
1
1
1
1
10
10
1
10
10
1
10
10
1
1
10
10
1
1
1
10
1
10
10
1
1
1
1
1
10
1
1
1
10
1
10
10
1
1
10
10
10
1
1
10
1
1
1
10
1
1
1
1
10
1
1
10
10
10
1
1
1
10
1
10
10
10
10
1
10
1
10
10
10
10
1
1
10
1
10
10
1
10
1
10
1
1
1
1
1
10
10
10
1
1
1
10
1
10
1
10
1
10
10
10
1
10
1
10
10
10
10
1
1
10
10
1
10
1
10
10
10
10
10
10
2
10
10
1
10
1
10
10
10
1
10
1
10
10
1
1
1
10
10
1
10
1
10
10
1
1
10
1
10
1
10
10
10
10
10
1
10
10
1
10
1
1
1
10
10
10
10
10
10
10
10
10
1
10
1
1
10
10
10
10
10
10
1
1
1
1
10
1
10
10
1
10
10
1
1
10
10
1
1
10
1
1
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
10
10
1
10
10
10
1
1
10
10
10
1
10
10
10
10
10
10
1
10
1
10
1
10
10
10
1
10
10
10
1
1
1
1
1
10
10
1
1
10
1
1
10
1
1
1
1
1
1
10
1
10
10
1
10
10
1
1
1
10
10
1
10
10
1
10
10
10
10
10
10
1
1
1
10
10
1
1
1
10
1
1
1
10
1
10
10
1
1
10
1
10
10
10
1
1
1
1
10
10
1
10
10
10
10
1
10
1
10
10
10
1
10
1
10
10
10
1
1
1
10
10
10
1
10
10
1
10
10
10
10
10
10
10
1
1
10
1
10
10
10
10
1
10
1
10
1
10
10
1
10
10
1
10
10
10
10
1
10
10
1
10
10
10
1
10
10
2
10
10
1
1
10
10
10
10
10
1
10
10
10
10
10
10
1
10
1
10
10
10
1
10
10
10
1
1
1
1
10
1
10
1
1
10
1
10
10
10
10
10
10
10
10
10
10
1
10
1
10
1
1
10
1
10
1
10
10
10
1
1
10
1
10
10
10
10
10
1
10
1
10
10
10
10
10
1
10
10
10
10
10
1
10
1
10
10
10
1
10
10
1
1
1
1
10
10
10
10
10
2
10
1
10
1
10
1
10
10
10
10
1
10
1
1
10
10
1
10
1
10
10
10
10
10
10
1
1
10
10
10
10
10
10
1
1
10
10
10
10
10
1
10
1
10
1
10
10
10
10
1
10
1
10
10
10
10
10
10
1
10
1
10
10
10
10
1
10
10
1
10
1
1
10
1
1
10
10
10
10
1
10
10
10
10
1
10
10
1
10
1
10
10
1
10
1
10
1
10
10
1
1
10
10
10
10
10
10
10
10
10
1
1
10
1
10
1
10
1
1
1
10
10
10
1
1
10
10
1
1
10
10
1
10
10
10
1
10
1
10
1
10
10
10
10
10
1
10
1
10
10
10
10
10
1
10
1
10
1
10
10
10
10
10
10
1
10
1
1
10
10
10
10
10
10
10
1
10
1
10
1
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
1
1
1
1
1
10
10
10
1
1
10
10
1
10
1
1
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
1
1
10
10
10
10
10
1
10
1
10
10
10
1
10
10
10
1
10
1
10
10
10
10
10
10
10
1
10
10
1
10
1
1
10
1
1
10
10
10
10
10
10
2
1
1
1
10
1
10
1
10
10
10
1
1
10
10
10
10
10
10
1
10
10
10
1
10
1
10
1
10
1
1
10
10
10
10
10
10
1
10
1
10
1
10
1
10
1
1
1
1
1
10
1
10
10
10
10
10
10
1
1
10
1
1
1
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
1
10
1
10
1
10
10
1
10
1
10
1
10
10
10
1
10
10
10
10
10
10
10
1
10
10
10
10
10
10
1
10
10
10
10
10
10
1
10
2
10
10
2
1
10
1
10
10
10
10
10
1
1
1
10
10
10
1
10
10
1
1
10
1
10
1
1
10
10
1
10
1
10
10
10
1
10
1
10
10
10
1
10
1
10
1
10
1
10
10
1
1
10
1
10
1
10
10
10
10
10
10
1
1
10
10
10
1
1
10
10
1
10
10
10
10
10
10
1
10
1
10
10
10
10
10
1
1
10
1
10
1
10
10
1
10
10
10
10
10
10
10
1
10
1
1
10
10
10
10
10
10
10
1
10
10
10
1
1
10
10
1
10
1
10
10
10
1
10
1
10
1
10
10
10
10
10
10
10
10
1
1
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
1
10
10
1
10
10
10
1
10
10
10
10
1
10
10
10
10
10
10
1
10
10
1
10
10
10
10
1
10
10
10
10
1
10
10
10
10
10
10
10
1
10
1
10
10
1
10
10
10
10
10
10
1
10
10
1
10
10
10
10
1
10
10
10
1
10
10
10
1
2
1
10
10
10
1
10
10
10
1
10
10
10
10
10
1
10
10
1
1
10
1
10
10
10
10
10
10
10
1
10
10
10
10
10
10
1
10
1
10
10
10
10
1
10
10
1
1
1
1
10
10
10
10
10
10
10
10
10
1
10
10
10
10
1
10
1
10
1
10
1
10
1
10
1
10
1
10
1
10
10
10
1
1
1
10
10
10
1
10
10
1
10
10
1
10
1
10
1
10
1
10
10
10
10
1
10
10
10
10
1
1
1
1
10
1
1
1
10
10
1
10
1
10
10
1
10
1
10
1
10
10
1
10
10
10
10
10
1
10
10
10
1
10
10
1
1
10
10
1
10
1
10
2
1
10
1
1
10
1
10
10
10
10
10
10
10
10
10
1
1
10
10
10
1
10
1
10
10
10
1
10
10
1
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
1
10
1
10
10
10
10
10
10
10
10
10
1
10
10
10
10
1
1
2
10
1
10
10
1
1
10
10
10
2
10
2
10
10
1
10
10
10
10
10
10
10
10
1
10
10
1
10
10
1
1
10
10
10
10
10
1
1
10
10
1
10
1
10
10
10
10
10
10
10
10
1
10
10
10
10
1
1
1
10
1
1
10
1
10
1
1
1
10
10
1
1
10
10
1
10
1
10
1
10
10
10
10
10
10
10
10
10
1
1
10
10
1
10
10
1
10
1
10
10
1
10
1
10
10
10
10
10
10
1
10
10
1
10
10
10
1
10
10
10
10
10
10
10
10
10
1
10
10
1
10
10
10
10
10
10
1
10
1
10
1
10
10
10
1
10
10
10
10
5
10
1
10
10
1
10
10
10
1
1
10
10
10
10
10
1
1
1
10
1
5
10
1
1
10
1
10
1
10
1
1
10
10
1
10
1
10
1
10
1
10
10
10
10
10
1
1
1
10
10
1
1
10
10
10
10
1
10
10
10
1
10
1
10
10
10
1
1
10
10
10
10
1
10
10
10
1
10
10
10
10
1
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
2
1
1
1
10
10
1
10
10
2
10
10
10
10
10
1
10
2
1
1
10
10
1
10
10
10
10
10
1
1
10
1
10
10
2
10
10
10
10
10
10
10
1
10
10
1
10
10
1
10
1
10
10
10
1
1
10
10
1
10
10
10
10
1
1
10
10
10
1
10
10
10
10
10
10
10
2
2
10
1
1
1
10
1
10
10
2
10
10
10
10
10
10
10
10
10
1
10
10
10
1
1
1
10
2
10
10
10
10
10
1
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
1
2
2
10
1
1
1
1
10
10
10
10
10
1
10
10
1
1
10
1
10
10
10
10
10
1
10
1
10
1
10
1
10
1
10
1
10
1
10
10
1
10
10
10
10
1
10
1
1
1
10
10
10
10
1
1
10
10
1
10
10
1
10
1
10
1
10
10
10
10
1
5
1
10
10
10
10
1
10
10
10
10
10
10
1
1
1
1
1
10
1
1
1
1
10
1
1
1
1
10
10
10
10
10
10
1
10
1
1
10
1
10
10
1
10
1
10
10
1
1
10
10
1
10
10
1
1
1
1
10
10
10
10
10
1
10
10
10
10
1
10
1
10
10
1
10
10
10
10
10
1
5
1
10
10
1
10
1
10
10
10
10
1
10
10
10
1
1
10
10
1
10
2
10
1
10
10
10
10
10
10
10
10
2
10
10
1
10
1
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
1
10
1
10
1
10
10
10
1
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
1
1
1
1
1
1
10
1
1
10
1
10
1
10
1
10
10
1
10
10
10
1
1
1
10
1
10
1
1
1
1
10
10
10
10
1
1
1
1
1
10
10
1
1
10
1
10
10
10
1
10
10
1
1
10
10
1
10
10
10
10
10
1
1
10
1
10
1
10
10
10
10
10
10
1
10
1
10
1
1
1
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
1
1
10
1
1
10
10
1
1
10
10
10
10
10
10
10
10
10
1
1
1
1
1
10
1
1
1
10
10
10
1
10
1
1
10
10
1
10
10
10
10
1
1
1
10
1
1
1
10
1
1
10
10
10
1
10
1
10
10
1
10
1
10
1
1
1
10
10
1
1
1
10
1
10
2
10
10
1
10
10
1
10
1
10
1
1
2
10
10
10
1
10
10
10
1
1
1
1
10
1
10
10
1
10
1
1
1
1
1
10
10
10
1
2
1
1
1
10
10
10
10
1
1
10
1
1
10
1
10
1
1
1
10
1
1
1
10
10
1
1
10
10
1
1
1
1
1
10
10
10
1
1
1
1
10
1
10
10
10
1
1
10
10
1
10
1
1
1
1
10
10
10
10
10
10
1
1
10
10
10
10
1
10
1
1
10
10
1
1
1
10
1
10
10
10
10
10
1
1
10
10
1
10
1
10
10
1
1
10
1
10
10
10
10
1
1
1
1
10
10
10
1
10
1
10
10
10
10
10
10
10
10
1
1
10
10
10
10
10
10
10
1
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
1
10
10
10
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
2
1
10
10
10
1
10
10
10
10
1
1
10
1
10
10
10
10
10
10
1
1
10
1
10
1
10
1
10
10
10
10
10
10
1
10
10
10
10
10
10
1
10
10
10
10
10
10
10
1
1
10
10
1
1
1
10
10
10
10
10
10
10
10
1
10
10
10
1
1
1
10
10
10
10
10
2
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
1
1
10
10
10
1
10
10
1
1
10
10
10
10
10
10
2
1
10
1
10
10
1
10
10
10
10
10
10
1
10
1
1
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
1
10
10
1
1
10
10
10
10
1
1
1
1
1
1
10
1
10
1
10
1
1
10
10
10
10
10
1
1
10
1
10
1
10
1
1
10
10
1
10
1
10
1
1
10
1
10
1
10
10
10
1
2
10
10
1
10
10
1
10
1
10
10
10
1
10
10
10
1
2
1
10
1
10
10
1
10
10
10
1
10
1
10
10
10
1
10
10
10
10
1
1
10
10
10
10
10
1
1
10
1
10
10
10
10
1
10
10
1
10
10
10
10
10
10
10
1
10
10
10
1
1
10
1
1
1
1
10
10
10
1
10
1
10
10
1
1
1
1
10
10
10
10
10
1
1
10
1
10
1
1
1
10
1
10
10
10
10
10
1
10
1
1
10
10
10
10
10
10
10
10
1
10
10
1
10
10
10
10
1
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
1
10
10
10
10
10
1
10
10
10
1
10
10
1
10
10
10
1
1
10
10
10
10
10
10
2
10
10
10
10
10
10
10
10
10
10
10
10
1
1
10
1
10
10
10
10
10
10
10
10
1
1
1
1
1
1
10
10
10
2
10
10
10
10
10
10
10
1
10
2
1
1
10
1
10
1
10
10
10
1
1
10
1
1
10
1
10
1
10
10
10
1
1
10
10
1
10
1
1
1
1
1
10
1
1
10
10
1
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
1
10
10
1
10
10
10
1
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
1
10
10
10
10
10
1
10
7
10
1
10
1
10
10
10
10
1
10
10
1
10
10
10
1
10
10
10
10
1
1
1
10
1
10
10
5
10
10
1
10
1
10
10
10
10
10
1
10
1
2
1
10
10
10
1
10
1
10
1
1
10
1
10
2
10
10
10
10
10
10
1
1
10
10
10
1
10
10
10
10
1
10
1
10
1
1
10
1
10
1
10
1
10
10
10
10
1
1
1
1
10
10
1
10
1
10
10
10
1
10
1
10
1
10
10
10
1
10
1
10
10
10
10
1
1
1
10
10
10
10
1
1
10
1
1
10
1
10
10
10
1
10
10
10
10
1
10
1
10
10
10
1
10
10
1
10
10
10
10
10
1
1
10
10
10
10
1
10
10
10
10
10
1
10
10
10
1
10
1
10
10
10
1
1
10
10
10
1
10
10
10
10
10
1
10
10
1
10
1
10
10
10
1
10
10
1
10
1
1
1
1
10
1
10
10
10
2
10
1
1
5
10
10
10
10
1
1
10
5
10
10
1
10
10
10
10
10
10
10
10
10
10
1
1
10
10
1
10
10
1
2
1
10
10
1
10
1
10
10
10
10
10
10
10
10
10
1
10
10
10
1
10
2
1
1
10
10
10
10
10
10
1
10
10
10
10
10
10
10
1
10
1
10
10
10
10
1
2
10
10
1
10
1
10
10
1
10
10
10
10
1
10
10
10
1
10
10
1
10
10
1
10
1
10
10
10
10
10
1
10
10
10
10
1
10
1
1
10
10
1
10
10
10
10
10
1
10
10
10
1
10
10
1
1
10
10
1
10
10
1
10
10
10
10
10
10
1
10
1
10
1
10
10
10
1
10
10
1
10
10
10
10
10
1
1
10
10
10
1
10
10
10
10
1
10
10
2
10
1
10
2
10
10
10
10
10
10
10
10
1
10
1
10
10
1
10
10
10
10
1
10
1
1
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
1
1
1
10
1
1
10
10
10
10
1
1
10
10
10
10
1
1
1
10
1
10
10
1
10
10
1
10
2
10
1
2
10
10
10
10
10
10
10
10
10
1
10
10
1
1
1
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
10
10
10
1
10
1
10
1
1
10
1
10
1
10
1
10
10
10
1
10
10
10
10
1
1
10
10
10
1
10
1
10
1
1
1
10
1
10
1
1
10
10
10
1
10
10
10
10
10
1
10
10
10
1
1
1
10
10
2
10
10
10
10
10
10
1
10
10
10
10
10
10
1
1
10
10
1
10
1
10
10
10
1
2
1
10
10
10
1
10
10
10
1
10
1
1
1
1
10
1
10
1
1
1
10
10
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
1
10
1
1
1
10
10
10
10
10
10
10
1
10
10
10
1
10
2
10
10
10
1
1
10
10
10
10
10
10
10
10
1
10
10
10
1
10
10
1
10
10
10
10
10
10
10
1
10
1
10
10
1
10
10
1
10
10
10
10
1
1
1
1
1
1
1
1
10
2
1
10
10
10
1
10
1
1
10
10
1
1
1
10
1
10
1
10
10
1
10
10
10
10
10
10
10
10
10
10
1
10
1
10
1
10
1
10
10
1
1
1
1
10
10
1
10
1
1
1
10
10
1
1
2
10
1
1
1
10
1
1
10
10
1
10
10
1
1
10
10
1
1
1
1
10
10
10
10
10
10
1
1
1
10
1
10
10
1
10
10
10
10
10
1
10
10
1
10
10
10
10
10
10
10
1
10
1
1
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
1
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
9
1
1
1
10
10
10
10
10
1
10
10
10
1
10
10
1
1
1
10
10
10
1
10
1
10
1
10
10
1
1
1
1
10
10
10
10
10
1
1
10
10
10
10
1
10
10
1
10
10
1
10
1
10
1
10
1
1
10
10
10
10
10
10
1
10
1
1
10
10
10
10
1
1
10
10
10
10
1
1
10
10
10
10
10
1
10
1
10
10
10
1
10
10
10
10
1
10
1
1
1
10
10
10
10
2
1
10
10
10
10
1
1
10
10
1
1
10
10
10
10
2
10
1
10
1
10
10
10
1
10
1
1
10
10
10
10
10
1
1
10
1
10
1
10
1
10
10
10
1
1
1
10
10
1
10
1
10
10
10
10
1
10
1
10
10
10
10
10
10
10
1
1
1
10
10
10
10
10
1
1
10
1
1
10
1
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
1
1
10
1
10
1
1
1
10
10
10
10
10
10
10
1
10
1
10
1
10
2
1
10
1
10
1
1
10
10
10
10
10
1
1
10
1
1
10
1
10
1
10
10
10
10
1
10
1
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
1
10
1
10
10
1
10
10
10
10
1
10
1
10
10
1
1
1
10
1
10
10
10
1
1
1
10
10
1
1
1
10
10
1
10
10
10
1
1
10
1
1
1
10
1
10
1
10
10
1
10
1
10
1
10
1
10
1
10
1
10
1
1
10
1
1
10
1
10
1
10
1
10
10
1
1
10
10
1
10
10
10
10
1
1
1
1
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
1
10
1
10
10
10
10
1
10
10
1
1
1
1
10
10
10
10
1
10
10
10
10
10
1
1
10
10
1
10
10
10
1
10
10
10
10
10
10
10
1
10
1
1
10
1
1
1
10
10
10
10
1
10
10
1
1
10
1
10
10
1
1
1
1
1
10
10
10
1
10
10
10
1
1
1
10
1
10
10
10
10
10
10
10
10
10
10
1
1
10
10
1
1
1
10
1
1
10
1
1
10
10
10
1
1
10
1
10
10
1
1
1
10
1
10
10
10
1
10
10
10
10
10
10
1
10
10
1
10
1
10
10
1
10
1
1
1
1
1
1
1
1
10
10
1
1
1
10
10
10
1
1
10
1
1
10
1
1
10
1
10
1
10
10
1
1
10
10
1
10
1
1
1
10
10
1
10
1
10
1
10
10
1
10
10
10
10
10
10
1
1
1
1
2
1
1
10
10
1
10
1
10
1
2
1
1
10
10
1
10
10
1
1
1
10
10
10
1
10
10
1
1
10
10
1
10
10
1
10
10
1
10
1
10
10
10
10
1
10
10
1
10
1
10
1
10
1
10
10
10
1
1
1
10
1
1
1
10
1
10
10
1
1
1
10
1
1
1
1
10
10
1
10
10
10
10
10
1
1
2
1
1
10
10
1
10
1
1
1
1
10
10
10
10
1
10
10
10
10
1
10
10
1
10
10
10
10
10
10
10
10
10
1
10
10
10
1
1
10
1
10
10
2
1
10
1
10
10
1
1
10
10
1
10
1
10
10
1
10
10
10
10
1
1
1
10
1
1
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
1
1
10
10
10
1
10
1
10
10
1
10
1
10
10
1
1
10
10
10
1
10
10
2
1
1
1
1
1
1
10
1
2
1
10
10
1
1
1
10
10
10
1
1
10
1
1
1
10
1
10
1
1
10
1
1
10
1
10
10
10
10
1
1
1
10
1
1
10
10
10
10
10
10
10
1
10
1
2
1
10
1
1
1
1
1
10
10
10
10
10
1
10
10
1
1
1
1
1
10
10
1
10
1
1
10
1
1
10
1
1
10
10
10
1
1
1
1
1
10
10
2
1
10
1
10
1
10
10
10
10
1
10
10
10
1
10
1
10
10
10
10
1
10
10
10
1
10
10
10
10
1
1
10
1
1
1
10
10
1
10
10
10
10
1
1
1
10
1
1
1
10
1
10
1
10
1
10
10
10
1
10
1
10
1
1
1
10
1
10
1
10
1
10
1
1
10
1
10
10
1
1
10
10
10
10
1
10
1
1
1
1
1
10
1
10
10
1
10
10
1
10
10
1
1
1
1
1
10
10
1
10
1
1
10
1
10
1
10
10
10
1
10
1
1
1
10
10
10
10
1
10
1
1
1
2
10
10
1
10
10
10
1
10
10
10
1
10
1
10
1
1
1
1
1
1
1
10
10
1
10
10
1
1
1
10
1
10
1
10
2
10
1
1
1
10
1
10
1
10
10
1
10
1
10
1
1
1
10
10
10
1
1
1
10
10
10
1
1
10
10
10
1
10
1
10
1
1
10
10
10
1
10
10
1
10
1
10
10
10
10
10
10
1
10
10
1
1
1
10
1
10
1
10
1
1
10
10
1
10
10
1
10
10
1
10
1
1
1
1
10
10
1
10
10
10
10
10
10
10
10
10
10
1
10
1
1
10
10
10
10
1
10
1
1
1
10
1
10
10
10
1
10
1
1
10
1
1
1
1
10
1
10
10
10
1
10
1
1
1
10
1
10
10
1
1
1
10
1
1
10
1
10
10
1
10
1
10
1
1
10
1
10
10
10
1
10
10
1
10
1
1
10
10
10
10
1
10
1
10
1
10
1
10
1
1
10
1
10
1
10
1
1
1
10
10
10
10
10
1
10
10
10
1
10
10
1
10
10
10
10
1
1
10
10
10
1
1
1
1
10
10
10
10
10
1
10
10
1
1
1
10
1
10
10
10
1
10
10
10
1
10
1
10
1
1
1
10
10
10
1
1
1
10
1
10
1
10
1
1
10
1
1
10
1
1
10
10
1
10
1
1
1
10
2
10
10
10
1
1
1
1
10
1
10
10
10
10
10
10
1
10
1
10
10
10
10
2
1
1
1
10
1
1
10
1
1
1
1
10
10
1
1
1
10
10
10
1
1
10
1
10
1
1
10
10
10
1
10
10
1
10
10
1
10
1
10
1
1
10
10
1
10
1
1
10
10
10
10
1
10
10
10
10
1
10
10
10
1
10
10
10
10
1
1
10
10
1
10
10
1
10
1
10
1
10
10
10
1
10
10
10
1
10
1
1
10
10
2
10
10
1
1
1
1
1
10
1
1
1
10
1
10
1
10
1
10
10
1
1
10
1
2
1
10
10
1
1
1
10
10
10
10
10
1
1
10
1
1
10
1
10
10
1
10
1
1
1
10
1
10
10
1
10
1
10
1
1
1
10
10
1
1
1
1
10
1
1
10
1
10
10
1
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
1
1
1
1
1
10
1
10
10
10
10
10
1
1
10
10
10
10
1
1
10
1
10
1
1
1
10
1
10
1
10
1
10
1
1
10
10
10
10
1
10
1
10
10
1
10
10
1
1
1
10
10
10
10
10
10
10
1
10
1
10
1
1
10
1
10
10
1
10
1
10
10
1
10
1
10
10
10
10
10
1
10
10
10
10
1
10
10
2
10
10
1
10
1
2
1
10
10
10
1
10
1
10
1
1
10
10
10
1
10
10
10
10
1
10
10
1
1
10
1
1
1
10
1
1
1
10
10
1
1
1
10
10
10
2
1
10
10
10
1
10
10
1
1
1
10
1
10
1
10
1
10
10
1
2
10
2
10
2
10
10
1
10
10
10
10
10
10
10
10
1
1
10
10
10
1
1
10
10
10
10
10
10
10
1
10
10
10
1
1
10
10
10
1
10
10
10
1
10
10
10
1
10
10
10
1
10
10
10
1
10
1
10
1
10
10
10
10
10
1
10
1
10
1
10
10
1
10
10
1
1
1
10
1
1
10
10
10
1
1
1
10
10
1
10
1
1
10
10
10
10
1
10
10
10
10
1
10
3
10
10
10
10
10
1
1
10
1
10
10
1
1
1
1
1
10
1
10
1
1
10
10
1
10
1
10
1
10
10
10
1
10
10
1
10
10
10
2
1
10
10
1
10
1
1
1
10
10
1
10
10
10
2
10
10
10
10
1
1
1
10
1
10
10
1
1
1
10
10
2
10
10
1
10
1
10
10
1
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
1
10
1
10
10
10
5
10
10
10
10
10
10
1
1
10
10
10
10
10
1
10
10
1
10
1
10
1
10
1
10
10
10
10
10
10
1
1
1
1
1
1
1
10
10
10
10
10
1
1
1
1
1
10
10
10
10
1
2
10
10
1
10
10
10
10
10
10
10
1
10
10
10
1
1
2
10
10
10
1
10
10
1
1
10
10
10
10
10
10
10
10
1
1
1
10
5
10
10
1
10
10
10
10
10
10
10
10
10
10
1
1
10
10
1
10
1
10
1
10
10
10
1
10
1
10
1
10
10
10
10
10
1
10
10
10
10
10
10
1
10
10
10
10
1
10
10
10
1
10
10
10
1
1
10
10
10
1
10
10
1
10
10
10
1
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
1
1
10
1
1
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
1
1
10
1
10
10
1
1
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
1
1
10
10
1
1
10
10
10
10
1
10
1
1
1
1
1
1
10
1
1
1
10
10
1
10
10
1
1
1
10
10
10
10
1
10
10
1
10
1
10
1
1
10
10
10
10
1
1
10
1
10
10
1
10
1
10
1
10
10
1
10
10
10
10
1
10
1
1
1
10
10
1
1
1
1
10
10
10
10
1
1
10
10
10
10
1
1
1
10
1
1
10
10
1
1
1
10
10
1
1
10
1
1
10
1
1
1
1
1
1
10
10
1
10
10
1
1
10
1
1
1
2
1
10
1
10
10
10
10
1
1
1
1
1
10
10
1
10
1
10
1
10
1
10
10
1
10
1
1
10
10
10
10
10
1
10
10
10
10
10
2
2
10
10
10
1
1
1
10
10
10
10
10
10
10
10
10
10
1
1
10
10
10
10
10
1
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
3
1
1
10
10
10
1
10
1
1
10
10
1
10
1
10
10
1
10
10
10
1
10
10
10
1
1
10
10
10
10
10
10
10
10
10
1
10
10
1
10
10
1
1
1
1
1
10
10
1
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
1
10
10
1
10
10
10
10
10
1
10
10
10
10
1
10
1
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
1
1
10
1
10
10
10
10
1
10
10
10
1
10
10
1
10
10
10
10
10
10
1
10
1
10
10
2
10
10
10
10
1
10
1
10
10
10
10
1
10
10
1
10
10
1
10
10
10
10
10
10
10
10
10
10
1
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
1
10
10
1
10
10
10
10
1
10
1
10
1
10
2
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
2
1
10
1
10
1
10
10
10
10
10
10
1
10
10
10
10
1
10
1
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
1
1
1
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
1
10
10
1
10
10
10
1
1
10
10
10
10
10
10
1
1
10
1
10
1
1
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
1
10
10
1
1
10
10
10
1
10
1
10
10
10
1
10
1
10
1
10
10
10
1
1
10
10
1
1
10
10
1
1
1
10
2
10
10
1
10
1
10
10
10
10
10
10
1
1
10
1
2
1
10
2
10
10
1
10
10
10
1
1
1
10
1
10
1
1
1
10
1
1
10
1
1
10
10
10
10
1
10
1
10
1
10
10
10
1
10
10
10
10
10
1
10
10
5
1
10
10
10
1
10
1
2
1
10
1
10
1
10
1
10
1
10
1
10
1
10
10
10
1
10
1
10
1
10
1
10
10
10
10
2
2
10
1
1
1
1
10
1
10
10
1
10
2
10
10
10
1
10
10
1
10
10
1
10
10
10
1
10
10
1
10
10
1
10
1
10
1
2
10
1
10
10
1
1
1
1
1
10
10
10
10
1
10
10
10
10
1
10
1
10
1
10
10
10
10
10
1
10
1
10
10
10
10
10
10
1
1
1
10
1
1
10
10
1
1
1
10
10
10
10
10
10
10
1
10
10
1
1
1
1
1
10
1
1
1
10
10
10
10
1
10
1
1
10
10
1
1
1
10
10
10
1
10
10
10
10
10
10
10
1
10
1
10
1
10
1
10
1
1
10
10
10
1
10
1
10
1
10
1
1
1
1
10
10
10
10
10
10
10
10
10
10
1
10
1
1
1
10
10
1
1
1
10
1
1
10
10
10
1
10
1
10
1
10
10
1
10
1
10
1
10
1
10
1
10
1
10
1
10
1
10
1
10
1
1
10
1
1
10
10
10
10
10
10
10
1
1
1
10
10
10
1
10
1
1
1
1
10
10
1
10
1
1
1
10
1
10
1
10
1
10
1
10
1
10
2
1
10
10
10
10
1
10
1
10
1
10
1
10
1
10
2
10
10
10
1
10
10
10
1
10
1
10
1
10
1
10
10
1
1
10
2
10
10
10
10
10
1
10
1
10
2
10
1
10
10
1
1
2
1
2
10
1
10
1
10
2
1
1
1
1
10
1
10
1
10
1
1
1
10
1
10
10
10
10
10
1
1
1
10
2
10
1
10
10
1
1
10
10
1
10
10
10
10
1
1
10
10
1
10
10
1
10
10
1
10
2
10
10
10
10
1
10
10
1
10
1
10
10
10
10
1
1
10
1
10
1
10
1
10
10
10
10
10
10
10
1
10
10
10
10
10
1
10
1
1
10
10
10
10
1
10
2
10
1
10
1
1
1
10
10
1
10
10
10
1
10
1
10
10
10
1
10
1
10
10
10
1
10
10
1
10
1
10
10
10
1
1
1
10
1
1
10
1
1
10
1
10
1
10
1
10
10
10
10
1
1
10
10
10
1
10
1
1
10
1
10
1
10
1
10
10
10
1
10
10
10
10
1
10
10
10
10
10
10
10
10
1
2
1
10
1
10
1
1
10
1
1
1
10
1
10
1
10
1
10
10
10
10
10
1
10
10
10
1
10
1
10
2
1
10
10
1
10
10
1
10
1
10
1
10
1
1
2
1
10
10
1
10
1
10
1
10
10
10
1
10
1
10
1
10
1
1
10
10
10
10
10
1
10
10
10
1
10
1
10
1
10
10
10
10
10
1
10
1
1
1
10
1
10
1
1
10
1
2
10
1
10
10
10
1
10
10
1
1
1
1
2
10
1
10
1
1
1
1
1
10
1
10
2
1
10
10
10
10
10
2
10
2
10
1
10
1
10
10
10
2
1
1
10
1
1
1
1
10
1
10
1
10
1
10
10
10
1
10
1
1
1
1
10
1
10
1
10
1
10
1
1
10
10
1
10
1
10
1
1
1
10
1
1
10
10
1
1
1
10
10
10
10
10
1
10
1
10
10
10
1
1
1
1
10
1
10
10
10
10
1
1
1
1
1
1
1
1
10
1
1
10
1
1
1
1
1
10
10
1
1
10
1
1
1
10
10
1
1
10
10
10
10
10
10
10
10
10
1
1
10
10
10
10
10
1
10
10
10
1
10
1
1
1
10
10
5
10
5
1
10
10
10
1
10
1
1
1
10
1
1
1
10
1
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
1
1
10
1
10
1
10
10
10
1
1
1
10
10
1
10
10
10
10
10
10
2
10
1
10
1
10
1
10
1
1
1
1
1
1
10
1
10
10
1
1
1
10
10
10
1
10
1
10
10
1
1
10
1
1
1
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
1
1
10
10
1
1
10
1
1
1
10
1
10
1
10
10
10
10
10
1
10
1
10
1
1
1
1
1
10
1
2
10
10
1
10
10
10
1
10
1
1
2
10
1
10
1
10
1
1
1
10
1
10
1
10
10
10
1
10
10
10
2
10
10
1
1
10
1
1
1
2
10
2
1
10
1
1
1
1
10
10
1
1
1
10
10
1
10
1
10
2
10
10
10
10
2
2
10
10
10
10
10
10
10
10
10
10
1
1
10
1
5
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
1
10
1
1
1
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
1
10
2
10
10
10
10
10
10
10
10
10
10
10
10
2
10
10
10
10
10
10
10
1
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
1
10
10
10
10
10
1
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
2
10
1
10
10
10
10
10
1
10
10
10
10
1
1
1
10
1
1
10
10
10
1
1
10
10
10
1
10
10
1
1
10
10
1
1
10
1
10
1
10
10
10
10
1
10
1
1
1
10
1
10
10
10
10
10
1
1
10
2
10
10
10
10
1
10
10
10
10
10
1
10
10
1
10
1
10
1
10
10
10
1
1
2
1
10
10
10
1
10
1
1
10
10
10
10
1
10
1
1
10
10
10
10
10
10
10
1
1
10
10
1
10
10
1
10
1
10
10
10
10
1
1
9
10
10
1
10
1
10
10
1
10
10
10
10
10
10
10
1
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
2
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
1
10
1
10
1
1
10
10
10
1
10
10
10
1
10
10
10
10
10
10
1
9
1
10
10
10
1
10
10
10
1
1
10
10
1
10
10
10
10
10
1
10
10
10
10
1
1
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
2
10
10
1
10
10
10
10
10
1
1
10
10
10
10
10
10
1
1
10
1
10
10
1
10
10
10
10
1
10
10
10
1
10
10
1
1
10
10
1
10
10
10
1
10
1
10
10
10
10
10
10
10
10
1
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
1
2
10
10
10
10
10
10
10
10
10
1
10
10
1
10
1
1
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
1
1
10
10
1
10
10
10
1
10
1
1
10
1
10
10
10
1
10
10
10
1
10
10
10
1
10
1
10
10
1
1
10
10
10
1
10
10
1
10
10
1
10
1
10
1
10
10
10
10
10
10
1
1
10
10
10
10
1
10
1
10
1
10
10
10
10
10
1
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
1
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
1
10
5
1
5
10
10
10
10
10
10
10
10
1
10
1
1
1
1
1
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
1
1
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
1
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
1
1
10
1
10
10
10
1
10
10
1
10
10
10
10
1
1
10
10
10
10
1
10
10
10
10
10
10
10
1
10
10
10
1
10
10
1
10
10
10
10
10
10
10
10
10
1
10
1
1
10
10
1
10
1
10
1
1
10
1
10
10
10
1
10
10
10
1
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
1
10
10
10
10
10
10
10
10
1
10
2
10
1
1
10
10
1
10
10
10
1
10
10
10
10
10
10
1
10
10
10
10
1
10
1
10
10
10
10
10
10
10
1
1
1
1
10
10
10
10
10
10
1
10
10
10
10
1
1
10
10
10
10
10
10
10
10
1
3
1
1
10
1
10
10
1
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
1
2
10
1
10
10
10
1
10
10
10
10
10
10
1
10
2
10
1
10
10
1
10
10
10
10
1
10
10
1
10
1
1
1
1
1
1
1
1
10
1
10
10
10
10
1
1
1
1
10
1
10
10
10
1
1
1
10
10
1
10
10
10
10
10
10
10
10
10
1
1
10
10
10
10
1
10
10
10
10
10
1
10
1
10
1
1
1
1
10
10
1
10
1
10
10
10
10
10
10
10
1
10
10
10
1
1
10
1
1
1
10
1
10
1
10
10
10
1
10
1
10
1
1
1
1
1
1
1
10
1
1
10
1
1
1
10
10
10
10
1
10
10
10
10
1
1
10
10
1
1
10
1
10
1
10
10
1
10
10
10
10
10
10
10
10
10
10
1
10
1
1
10
10
1
1
10
10
10
10
1
1
10
10
10
1
1
10
1
10
10
1
10
10
10
10
10
10
1
10
10
1
1
1
10
1
10
10
10
1
10
10
10
1
10
10
10
1
1
1
1
10
10
1
1
10
1
10
10
10
10
10
1
10
1
10
10
10
1
1
1
1
1
10
1
10
1
1
1
1
10
1
1
1
10
1
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
1
10
1
10
1
10
10
1
1
1
1
1
1
1
10
1
10
1
1
1
10
1
1
1
10
10
10
10
1
10
10
1
10
10
1
10
10
10
10
1
1
10
10
1
1
10
1
1
1
10
1
10
1
1
10
1
10
10
10
10
10
10
10
1
10
10
10
10
10
1
1
1
10
1
1
1
10
10
1
1
1
10
1
10
1
10
10
10
10
1
10
1
10
1
10
1
10
10
1
1
1
1
10
10
2
10
1
10
1
10
1
1
1
1
1
10
1
10
10
10
10
10
1
1
10
1
1
1
1
1
1
1
10
1
10
1
1
1
10
10
2
10
1
1
10
1
10
10
10
1
1
1
1
10
10
1
1
1
1
10
10
10
1
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
1
1
10
10
1
10
1
1
10
10
10
1
1
1
1
1
10
10
10
10
1
1
10
10
10
10
1
10
10
1
1
10
10
1
10
10
10
1
1
10
1
10
10
10
10
1
1
10
10
10
1
10
1
1
1
1
10
1
10
1
1
10
10
1
10
10
10
1
10
1
1
10
10
1
10
1
10
10
10
1
1
1
10
1
10
10
1
10
1
10
10
10
10
10
1
10
10
10
1
10
1
1
10
10
10
1
1
10
10
1
10
10
1
10
10
10
10
1
10
10
1
10
10
1
1
1
10
1
1
10
10
10
10
1
1
1
1
1
10
1
1
1
10
1
10
1
10
1
10
1
10
1
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
10
1
10
10
10
1
10
10
1
10
1
1
10
10
10
10
1
10
10
1
10
1
1
10
1
10
10
10
10
10
10
1
10
1
10
1
1
1
10
10
10
1
10
1
10
10
10
10
10
10
1
1
10
10
10
10
10
10
1
10
10
10
1
1
1
1
1
1
1
1
10
1
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
1
10
1
1
10
1
10
2
10
1
10
1
10
10
1
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
1
10
10
10
2
10
10
1
10
1
10
1
10
1
10
10
10
10
10
1
10
10
10
1
10
1
10
1
10
10
10
1
10
10
10
1
10
1
1
1
10
10
1
1
10
10
10
1
10
10
10
1
10
1
1
10
1
10
1
10
1
10
10
10
1
10
1
1
10
1
10
1
10
10
10
1
1
1
1
1
10
10
10
10
1
1
10
10
10
1
1
10
10
10
10
10
10
10
10
10
1
1
10
1
1
1
10
10
10
10
1
1
1
1
10
1
1
10
2
10
10
10
10
1
10
10
10
10
10
10
10
1
10
10
10
1
1
10
10
10
10
1
10
10
10
1
1
10
10
10
10
10
10
10
10
1
10
10
10
1
1
1
10
10
10
10
10
10
1
1
1
1
10
10
1
10
10
1
10
1
1
1
1
10
10
10
10
10
1
10
10
10
10
10
10
1
10
1
10
10
1
1
1
10
10
1
10
10
10
10
1
1
10
1
10
1
10
1
10
10
10
1
10
10
10
10
1
1
10
1
1
10
10
10
10
10
10
1
10
10
10
10
10
1
10
10
1
10
10
1
10
1
1
1
10
10
10
10
10
1
10
10
10
10
1
10
10
10
1
10
1
10
10
10
1
10
10
10
1
1
10
1
10
1
10
1
10
1
1
10
10
10
1
2
10
1
1
10
1
10
1
1
10
10
10
10
10
10
10
1
1
10
10
10
1
10
10
1
10
10
10
1
1
10
10
10
1
1
10
1
10
1
10
10
10
1
10
10
10
10
10
2
1
10
10
1
1
1
1
1
10
10
1
1
1
1
10
1
1
10
10
1
1
1
10
10
10
10
1
10
1
10
10
1
10
10
10
10
1
10
10
10
10
10
10
10
10
1
1
1
1
10
10
1
10
1
10
1
10
1
10
10
10
1
1
10
10
1
1
1
1
1
1
10
1
10
1
10
1
10
1
10
10
10
1
10
10
1
10
10
10
10
1
10
1
1
10
10
10
1
10
10
10
1
1
1
10
10
10
10
10
10
1
10
1
10
1
10
10
1
10
10
1
10
1
10
10
10
1
1
10
10
10
10
10
1
10
10
10
10
1
10
10
1
10
10
10
1
1
1
1
10
10
1
1
1
1
10
10
1
10
10
1
1
1
10
1
1
1
10
1
10
10
10
1
1
1
1
2
1
10
10
1
10
1
10
10
10
10
10
10
10
10
10
1
1
10
1
1
1
1
1
10
2
1
2
1
10
10
1
1
10
10
10
10
1
1
1
1
1
10
10
1
10
10
10
9
1
1
10
10
10
1
1
10
1
1
1
1
1
10
1
1
1
1
1
1
10
1
10
10
10
1
10
1
10
10
1
1
1
10
1
1
1
10
1
1
10
10
1
10
1
1
1
10
10
10
10
2
1
2
10
10
10
10
1
10
1
2
1
10
1
2
1
1
10
10
10
1
10
1
1
10
10
10
1
10
10
10
1
10
10
10
1
1
1
10
1
10
1
1
10
1
10
10
10
10
10
10
10
1
1
1
10
10
10
1
10
1
10
10
10
1
10
10
1
10
10
10
10
10
10
10
10
10
1
10
1
1
10
1
1
1
10
10
10
10
10
1
10
10
1
10
1
1
1
1
10
1
10
1
1
10
10
10
1
10
1
10
1
1
1
10
1
1
10
10
10
1
10
10
1
1
10
10
1
10
1
10
1
10
1
1
1
10
1
10
1
1
10
1
10
1
1
1
10
1
10
10
10
10
1
10
1
10
1
10
1
10
1
10
1
10
1
1
10
1
10
10
10
1
1
10
1
10
1
10
10
10
1
10
1
10
10
1
10
1
10
10
1
10
1
1
1
1
10
1
10
1
1
1
10
10
1
1
1
10
1
10
1
10
10
10
1
10
1
1
1
1
10
10
1
1
10
1
10
1
10
1
10
1
10
10
10
1
1
1
10
10
1
10
10
1
10
10
1
10
10
10
10
10
1
10
10
10
10
10
1
10
1
1
1
10
10
10
10
1
1
1
1
1
10
1
10
2
10
10
10
10
10
1
10
1
10
10
1
1
10
10
1
1
1
1
1
10
1
10
1
1
1
1
1
1
10
10
1
1
10
1
1
10
1
10
10
10
10
1
10
10
10
10
10
10
1
10
10
10
10
10
1
10
1
10
10
1
1
1
10
1
10
1
1
1
10
10
10
1
1
10
10
10
10
1
10
1
10
10
10
1
10
1
1
1
10
1
1
10
1
1
1
10
10
10
1
10
10
1
1
1
1
10
1
1
1
10
1
10
1
1
1
10
1
10
1
2
10
1
10
10
1
10
1
10
10
1
1
10
10
1
1
1
10
1
10
1
1
1
10
1
10
1
10
10
1
10
10
10
10
1
1
1
10
1
10
1
10
10
1
10
10
10
10
10
10
1
10
1
10
1
10
10
10
1
10
1
1
1
1
10
10
10
1
1
1
1
10
1
1
10
10
10
1
1
10
1
10
1
10
10
10
1
10
1
10
1
10
10
1
10
10
10
1
10
10
1
10
1
10
1
10
1
1
1
10
10
1
10
10
10
1
10
10
10
1
1
1
1
1
10
1
10
1
10
1
10
1
1
10
1
1
10
10
10
10
1
1
10
1
1
1
1
10
10
1
1
10
1
1
1
10
1
10
1
10
10
10
10
1
1
10
10
1
1
1
1
10
1
10
10
1
10
1
1
1
1
10
1
10
10
1
10
1
10
10
10
10
1
10
10
10
10
10
10
1
10
1
1
2
10
1
1
10
10
10
10
10
10
1
1
1
1
1
1
10
10
1
10
1
10
10
10
1
1
1
1
1
1
1
1
10
10
10
1
10
1
1
10
10
10
10
1
1
10
10
1
1
1
1
1
1
10
1
10
10
10
1
1
10
1
10
1
10
1
10
1
1
1
1
1
10
1
1
1
10
10
10
10
10
1
10
1
2
1
1
1
1
1
1
10
1
10
1
10
1
1
1
10
1
1
1
1
1
1
10
1
10
1
10
1
10
1
1
10
10
10
10
10
10
10
10
10
10
1
1
1
10
10
1
10
2
1
10
10
10
10
1
1
1
10
10
1
10
10
1
10
10
1
1
10
10
1
1
1
1
10
1
10
1
1
1
10
1
1
1
10
10
10
1
10
1
1
10
10
1
10
10
1
1
1
1
10
1
10
10
10
10
10
1
1
1
10
10
10
10
1
10
10
10
10
1
1
10
10
10
10
10
10
1
1
10
10
1
1
10
1
10
10
1
10
10
10
10
10
1
10
10
10
10
1
10
1
10
10
10
10
10
10
10
1
10
10
1
10
1
1
1
1
1
10
10
1
10
10
10
1
10
1
10
10
1
10
10
1
1
1
10
10
10
1
10
10
10
10
1
1
1
10
1
1
1
1
1
1
10
1
10
1
1
10
10
1
10
10
1
10
10
10
10
1
1
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
1
10
1
10
1
10
10
10
10
1
10
10
1
10
1
10
10
10
1
10
1
10
1
10
10
10
10
10
10
1
10
10
10
10
10
10
1
10
10
10
1
10
1
10
10
10
10
1
1
1
10
10
10
1
10
1
10
1
1
10
10
10
10
10
10
10
10
1
1
1
10
10
2
10
10
1
10
1
10
10
10
10
1
1
1
10
10
10
10
10
10
10
10
10
10
10
10
1
1
10
1
1
10
1
10
1
1
1
10
1
10
10
1
1
10
10
10
1
10
10
10
1
1
10
10
10
10
1
10
1
10
1
1
1
10
10
10
1
10
10
10
1
10
1
10
1
10
10
1
10
10
1
10
1
1
1
10
1
10
10
1
1
10
10
10
2
10
1
1
1
10
1
10
1
10
1
10
10
10
1
1
10
10
1
10
10
10
1
10
1
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
1
10
1
10
10
10
10
10
1
1
10
1
10
1
1
1
1
10
10
1
10
1
1
10
1
10
10
1
10
1
10
1
1
1
10
1
10
1
10
1
10
10
10
10
10
10
10
1
10
1
10
10
10
1
1
10
10
10
1
10
10
1
10
10
10
10
10
10
10
10
10
1
1
10
10
10
1
10
1
10
1
10
1
10
10
1
10
1
10
10
10
10
1
10
2
1
10
10
1
1
1
10
10
10
10
1
10
10
1
10
1
1
10
10
10
10
10
10
10
10
1
10
1
1
1
1
1
10
10
1
10
10
10
10
10
10
1
1
10
10
10
10
10
1
1
10
1
10
10
10
1
1
10
10
10
10
1
1
10
1
10
1
1
1
10
1
10
10
1
1
10
10
10
10
1
10
1
1
1
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
1
10
1
10
10
10
10
10
1
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
1
1
1
10
5
10
10
1
10
10
10
10
10
10
1
1
1
10
1
10
1
10
10
1
1
1
10
10
10
10
10
10
10
10
10
1
10
10
1
10
10
10
1
1
1
10
10
10
10
1
10
10
10
10
1
10
10
1
1
1
1
10
10
10
10
1
10
10
10
1
10
10
10
10
10
10
10
10
1
10
1
10
1
10
10
10
1
10
1
10
1
10
1
10
1
10
10
10
1
10
10
10
10
10
10
10
1
10
1
10
10
10
10
1
10
1
1
1
10
1
10
1
10
1
10
1
10
1
1
1
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
2
10
10
1
10
10
10
1
1
10
1
10
1
1
10
10
10
10
10
10
10
1
10
1
10
10
1
10
10
10
10
1
10
10
1
10
10
10
10
10
10
10
1
10
10
10
10
10
10
1
10
1
10
1
10
1
10
10
1
1
10
10
10
1
10
1
10
1
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
1
1
10
10
10
1
10
10
10
1
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
10
10
10
1
10
10
10
10
1
10
10
10
10
10
10
1
10
10
1
1
10
1
10
10
10
10
1
1
1
10
1
10
10
10
10
10
10
10
1
10
10
10
10
1
10
10
10
2
10
1
1
1
10
1
10
10
1
1
1
10
10
10
10
1
10
10
1
10
10
10
10
2
10
10
2
10
10
10
10
10
1
10
1
10
1
10
1
10
10
10
1
10
1
1
10
10
10
1
10
1
10
10
10
10
1
2
10
10
10
1
1
10
1
10
10
1
10
10
10
1
10
10
1
2
10
1
10
1
10
10
10
10
10
10
10
10
1
1
10
10
10
10
2
1
10
1
10
10
1
10
10
10
1
1
1
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
1
10
10
1
10
2
10
10
10
10
10
10
10
1
10
10
1
10
1
10
10
10
1
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
1
10
10
1
10
10
1
10
10
1
10
10
10
10
10
1
1
10
10
1
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
1
1
10
10
10
2
10
10
10
10
2
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
1
1
10
10
10
10
10
10
10
10
10
10
10
1
1
1
1
10
10
1
10
10
1
10
10
1
10
10
10
10
1
10
10
1
1
1
1
10
1
1
10
1
10
1
1
1
1
1
10
10
10
10
1
10
10
10
1
10
10
1
10
1
1
10
10
10
1
10
1
1
1
10
10
10
10
10
1
1
10
10
1
10
10
1
1
10
10
10
10
10
10
1
1
1
1
1
10
1
10
10
1
10
1
1
10
10
10
1
10
10
1
1
10
10
10
10
10
1
10
10
1
10
10
10
1
1
1
10
1
10
10
10
10
10
10
1
1
10
1
10
1
1
1
10
10
10
10
10
10
10
1
10
1
10
10
10
1
1
1
10
1
10
1
1
10
10
10
10
10
1
10
10
10
10
10
1
10
1
10
10
1
10
10
10
10
10
10
10
10
1
1
10
10
2
10
10
10
10
10
10
10
10
10
10
1
10
10
10
1
2
1
1
1
10
1
10
10
10
10
10
10
10
10
1
1
10
10
1
10
10
1
1
10
1
10
10
10
1
10
1
1
10
1
10
10
10
1
10
10
10
10
10
10
2
10
10
1
10
10
1
10
1
10
10
10
10
1
10
10
1
1
10
10
10
10
10
1
10
1
10
10
10
1
10
10
10
10
10
1
10
1
10
10
1
1
1
10
1
10
10
10
1
10
10
10
1
10
1
10
1
10
1
10
10
10
10
10
10
10
10
1
1
10
1
10
1
10
10
10
1
1
10
1
1
10
10
10
10
10
10
1
10
1
1
1
10
10
10
10
2
1
10
10
10
10
10
1
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
1
1
10
1
10
10
10
1
10
1
10
1
1
10
1
10
10
10
1
10
10
10
10
10
1
2
10
10
10
10
10
10
10
1
10
1
1
10
1
10
1
1
10
1
10
10
10
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
1
10
1
1
10
1
10
10
10
1
10
10
10
10
1
10
1
10
10
1
10
1
10
1
10
1
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
1
2
1
1
1
10
10
1
10
10
10
10
10
1
1
1
1
10
10
10
10
1
1
1
10
10
10
10
1
1
10
10
1
1
10
1
10
1
10
1
10
1
10
1
10
10
10
1
10
1
1
10
1
10
10
10
10
10
10
1
1
10
1
10
10
10
1
10
10
10
1
10
10
10
10
10
10
10
1
1
1
10
10
10
1
10
10
1
10
1
10
1
1
10
10
10
1
1
1
10
1
10
1
10
1
10
1
10
10
10
10
1
10
10
10
10
10
10
10
1
1
10
1
10
10
10
10
10
1
10
1
10
1
10
10
10
10
10
1
1
10
1
1
10
10
10
1
10
1
10
1
10
10
10
1
10
10
1
1
10
1
10
1
10
10
10
10
10
10
10
10
1
10
10
1
10
10
1
10
10
10
10
1
1
10
1
10
1
10
10
2
1
1
1
10
1
1
1
10
10
10
1
1
1
10
1
10
1
1
1
10
1
1
1
1
5
10
1
10
10
10
1
1
10
1
1
1
10
10
1
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
1
1
10
1
1
1
10
10
1
10
10
1
10
10
10
10
10
10
1
10
10
10
1
10
10
10
1
1
1
1
10
10
1
10
10
1
10
1
10
10
10
1
10
1
10
10
1
1
1
10
1
10
10
10
10
10
10
10
10
1
10
1
10
1
10
1
10
1
10
1
10
10
10
1
10
1
1
1
10
10
10
1
1
1
1
1
1
1
1
1
10
1
1
10
1
1
10
1
10
10
10
1
10
1
10
1
1
10
1
10
1
10
10
1
10
10
1
10
1
10
10
10
2
10
1
1
1
1
10
1
10
1
10
10
1
1
1
10
10
10
1
1
1
1
1
1
1
10
10
10
1
1
1
10
1
1
10
1
1
10
10
1
10
1
1
10
10
10
10
1
1
10
1
10
10
10
10
1
10
10
10
10
10
10
10
1
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
1
1
10
1
10
10
1
10
1
10
10
10
1
10
10
1
10
10
10
10
1
10
5
10
10
10
10
10
1
10
10
1
10
10
1
10
10
10
1
10
10
10
2
10
1
1
10
10
10
1
1
10
10
10
10
10
10
1
1
10
10
10
1
10
1
10
1
10
10
10
10
10
10
1
1
10
10
10
1
10
1
10
1
10
1
10
10
1
1
10
10
10
10
1
10
10
1
10
10
10
10
10
10
10
10
1
1
1
10
10
1
10
10
10
1
1
10
10
1
10
10
10
10
1
10
1
10
10
10
1
10
1
10
1
10
1
10
2
10
1
10
1
10
2
1
10
10
1
1
10
10
10
10
1
10
1
10
1
10
10
1
10
1
10
1
1
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
1
10
1
10
10
2
10
10
10
10
1
1
10
10
1
10
10
10
10
10
10
1
10
1
1
10
10
1
10
10
10
10
10
1
2
10
1
10
1
10
1
10
10
10
10
10
10
10
10
10
10
1
10
10
10
1
10
1
10
1
10
10
10
10
10
10
10
10
10
10
1
1
10
1
1
10
10
1
10
10
2
10
10
1
10
2
10
10
10
1
1
10
10
10
10
10
1
10
1
10
10
10
10
10
10
1
1
10
10
10
10
10
10
1
10
1
1
1
1
10
10
10
10
1
10
10
1
10
1
1
10
10
1
10
10
10
2
10
1
10
2
10
1
10
10
10
10
10
10
1
10
10
1
1
1
10
10
1
10
1
1
1
10
10
10
10
1
1
10
10
10
10
10
10
10
10
1
1
10
10
10
10
10
10
1
10
10
1
10
10
10
10
10
10
10
1
10
1
10
2
10
10
2
10
10
1
10
1
10
1
10
1
1
10
1
10
1
1
10
1
10
10
1
10
1
10
10
10
10
10
1
1
10
10
1
1
10
10
10
10
10
10
10
1
10
10
10
10
10
10
1
1
10
1
10
10
10
1
1
10
10
1
1
10
10
1
10
10
10
1
10
10
1
1
10
10
10
10
10
10
1
10
10
10
10
10
10
1
1
1
10
1
1
10
10
1
10
10
1
1
10
1
10
10
10
1
10
10
10
1
1
10
10
1
10
10
1
10
10
1
1
1
1
1
1
1
1
1
10
1
1
10
1
10
10
10
10
1
10
10
1
10
10
1
10
10
10
10
10
10
10
1
10
10
10
1
1
10
10
1
10
10
10
1
10
10
10
1
1
10
1
1
10
1
1
10
10
10
1
1
10
10
1
1
1
1
10
10
10
10
10
10
10
10
10
1
10
10
10
1
10
10
1
10
10
10
10
10
1
10
10
1
10
10
10
10
1
10
10
10
10
1
1
1
10
1
1
10
10
1
10
1
2
10
10
1
10
10
10
1
1
10
10
10
10
10
10
10
1
10
1
1
1
1
10
10
1
10
10
1
10
10
1
10
10
2
10
10
10
1
10
10
10
10
10
10
10
10
1
10
10
10
10
1
1
10
10
10
1
10
10
1
10
10
1
10
10
10
10
1
10
10
1
10
10
10
1
10
10
1
10
1
10
10
1
1
10
10
1
10
10
10
1
10
10
10
1
10
1
10
10
1
1
10
10
10
1
1
1
1
1
10
10
10
10
10
1
10
1
1
10
10
1
10
10
10
10
10
10
1
1
10
1
10
10
10
1
10
10
10
1
1
10
10
1
10
10
10
10
10
1
10
1
10
10
10
10
1
10
1
1
10
1
1
1
1
10
1
1
1
1
10
1
10
10
10
1
10
10
10
1
10
10
1
10
10
10
10
1
10
10
1
1
1
10
1
1
10
10
1
1
10
10
10
10
1
10
10
2
1
2
10
10
10
10
10
10
10
10
1
10
10
10
1
10
10
1
1
10
10
1
1
10
10
10
1
10
1
10
10
10
10
1
1
10
1
10
10
10
10
10
2
10
1
10
10
10
1
10
10
1
1
1
10
10
1
10
10
10
10
10
10
10
1
1
1
10
10
1
1
1
10
2
10
10
10
1
1
10
10
1
10
5
10
10
1
1
10
1
10
10
1
1
10
10
1
1
10
10
10
10
10
10
10
1
10
10
1
10
2
1
1
10
1
1
10
10
10
1
10
10
10
1
1
1
1
10
1
1
10
1
1
10
10
1
1
1
10
10
10
10
10
10
1
1
1
10
10
10
1
10
1
10
1
10
10
10
10
10
10
10
1
1
1
10
1
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
1
10
1
1
10
10
10
10
10
10
10
10
10
10
1
1
10
10
1
1
10
10
1
1
1
10
10
10
1
10
10
10
10
10
10
10
1
10
1
10
1
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
1
1
10
10
1
10
10
1
10
10
1
10
1
10
1
1
1
10
10
10
10
10
10
10
1
10
10
10
1
10
10
1
10
10
1
1
10
10
10
10
10
10
10
10
1
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
1
10
10
1
1
1
10
1
10
10
10
10
10
1
1
10
1
1
10
1
1
10
10
1
1
1
10
10
10
10
10
1
10
10
10
1
1
10
1
10
10
10
10
1
10
1
10
10
1
10
1
10
10
10
10
10
1
10
10
10
10
10
10
1
10
10
10
10
10
1
10
10
1
1
1
10
10
10
2
10
10
1
1
10
10
1
2
1
10
1
1
1
1
1
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
2
10
10
1
1
10
10
10
10
10
10
1
2
10
10
1
1
10
10
1
1
10
10
1
10
10
10
1
10
1
10
1
10
10
10
10
1
10
10
10
1
10
10
10
10
2
10
1
10
1
10
1
10
10
10
10
10
1
1
10
1
1
1
10
1
1
2
10
2
1
1
1
10
10
1
10
1
10
1
10
10
2
1
1
10
2
1
10
10
10
10
10
1
1
10
1
10
1
10
10
10
10
1
10
1
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
1
1
1
10
1
1
10
10
10
10
1
10
1
10
1
1
10
10
10
10
10
10
10
10
10
1
1
1
10
1
10
1
10
1
10
10
10
10
1
10
1
10
10
10
10
10
1
10
10
10
1
10
10
10
10
10
10
10
1
10
1
10
10
1
1
10
10
10
10
10
2
1
10
10
1
1
1
10
10
10
10
2
10
1
10
1
1
10
10
10
10
1
10
10
10
1
1
1
10
1
10
10
1
10
10
1
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
1
10
10
10
10
1
10
10
10
10
1
10
10
10
1
1
10
10
10
1
10
1
1
1
10
10
10
10
10
1
10
1
1
10
1
10
10
10
10
10
1
10
1
1
10
10
1
1
10
10
10
10
1
1
10
10
1
1
1
10
1
1
1
10
10
1
1
10
10
10
10
1
10
10
10
10
1
10
10
10
10
10
10
1
10
1
10
10
1
10
10
1
1
1
10
10
10
2
10
1
1
10
1
1
10
10
10
10
10
1
10
10
1
1
10
1
1
10
10
1
1
1
1
1
10
1
10
1
1
1
10
1
10
10
10
10
10
2
10
1
1
1
10
10
1
10
10
10
10
10
1
1
1
1
10
10
1
1
10
10
1
10
10
10
10
1
10
1
10
1
10
10
10
1
1
10
10
10
10
10
10
10
1
10
10
1
1
10
10
1
1
10
1
10
10
10
10
1
10
1
10
10
10
10
10
10
1
1
10
10
1
1
10
10
1
1
10
1
10
10
1
10
10
10
10
10
10
1
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
1
10
10
1
1
1
10
10
1
10
10
10
1
10
10
1
10
10
1
10
1
10
10
10
10
10
1
10
1
10
10
1
10
10
10
10
2
10
10
10
10
1
10
10
10
10
1
10
10
10
10
10
10
10
10
1
1
10
10
1
10
1
1
1
10
10
1
10
1
10
1
10
1
10
10
10
10
1
1
1
10
10
10
10
1
10
10
1
10
10
1
10
1
10
10
10
1
10
10
1
10
10
10
1
10
10
10
10
1
10
10
1
10
10
10
1
10
10
10
10
1
10
10
10
10
1
10
10
10
10
10
10
10
1
10
1
10
10
10
10
1
10
1
1
10
1
1
10
10
10
10
10
10
10
10
10
10
10
1
10
10
1
1
10
10
10
1
10
10
10
1
10
10
10
7
1
1
10
10
10
1
10
10
10
1
10
1
10
10
10
10
10
10
1
10
10
10
10
10
1
1
1
10
1
1
1
10
10
10
1
10
10
1
1
1
10
1
10
10
10
10
10
10
1
10
1
10
10
1
1
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
1
10
10
1
1
10
1
10
10
1
1
10
1
10
10
10
1
10
10
10
1
10
1
10
10
10
10
10
10
10
1
10
10
10
10
10
1
2
10
1
10
10
10
1
1
10
10
10
1
1
10
1
1
10
10
1
1
10
1
10
10
1
1
10
10
1
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
1
10
10
10
1
10
1
1
10
10
1
10
1
10
1
10
1
10
10
1
1
10
2
10
10
10
10
10
10
10
1
1
10
1
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
1
10
1
1
10
10
10
10
1
1
1
10
1
10
10
10
10
10
10
1
10
1
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
1
10
1
10
1
10
10
1
10
10
10
10
10
10
10
10
10
1
10
1
10
1
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
5
10
10
10
10
10
10
1
1
1
1
10
10
10
10
10
1
10
10
10
1
10
10
10
1
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
1
1
10
10
10
10
10
10
10
10
10
10
10
1
1
10
10
10
10
10
1
2
10
1
10
10
1
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
1
1
10
1
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
1
10
1
10
10
10
2
10
1
10
1
10
10
1
10
10
10
10
10
10
10
1
10
10
10
10
1
1
10
10
10
10
10
2
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
1
10
10
1
1
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
1
10
10
10
1
10
10
1
1
10
10
10
1
10
10
10
1
10
1
10
1
1
10
10
10
1
10
10
10
10
1
10
10
10
10
1
10
10
1
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
1
1
1
10
1
10
1
10
1
1
1
10
1
10
10
10
1
10
1
1
1
1
1
10
1
10
1
10
10
10
10
1
1
10
1
10
10
10
1
2
10
2
10
10
10
1
10
1
10
1
10
1
10
1
1
1
10
10
1
1
10
10
10
10
1
10
1
10
1
10
1
10
10
1
10
10
10
1
10
1
10
10
1
1
1
1
1
10
1
10
10
1
10
1
10
1
10
1
10
2
10
10
10
1
10
10
1
10
10
10
10
1
1
10
10
10
10
10
10
10
10
10
10
1
1
10
10
10
1
10
1
10
1
10
10
10
10
10
10
1
1
10
1
1
10
10
10
10
10
1
10
1
10
10
10
1
1
10
10
10
5
10
10
10
1
10
10
10
10
10
1
10
1
10
10
1
10
10
10
1
10
1
10
10
1
1
1
1
10
1
10
1
10
1
1
1
10
1
10
1
10
10
10
10
1
1
10
1
10
10
10
10
1
10
1
10
1
10
10
10
10
10
1
1
10
10
1
10
10
1
1
10
10
1
10
10
1
10
1
1
10
10
10
10
1
1
10
1
10
10
10
1
1
1
10
10
10
1
10
1
1
10
10
1
10
10
1
10
1
10
10
1
10
10
10
1
10
1
1
1
10
1
1
1
10
1
10
1
10
1
10
1
10
10
1
1
10
10
10
10
10
10
1
1
10
1
10
1
10
1
10
10
10
10
10
1
10
1
10
1
10
1
10
1
10
10
10
10
1
10
10
10
10
10
1
10
1
10
10
10
10
10
1
10
10
1
1
5
10
10
10
10
1
10
10
10
1
10
1
10
10
10
10
10
10
1
10
1
10
1
10
10
10
10
10
10
10
10
10
1
1
10
1
10
1
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
1
1
1
10
1
10
5
1
10
1
10
1
10
10
10
10
10
10
1
10
10
10
10
1
10
1
1
10
1
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
1
1
10
1
10
10
10
1
10
10
10
1
1
1
10
1
1
1
1
10
1
1
1
1
1
1
10
1
1
1
10
1
10
1
10
1
10
1
1
10
2
1
10
10
1
1
10
10
10
10
10
1
1
10
1
10
1
10
10
1
1
10
10
1
10
1
10
1
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
1
10
1
10
1
10
10
1
1
1
10
10
10
10
10
1
10
1
10
1
1
10
10
1
10
1
10
1
10
10
10
1
10
10
10
1
10
10
10
1
10
10
1
10
10
10
10
1
1
10
10
10
1
10
1
10
10
10
1
1
10
1
1
1
1
10
10
10
10
10
1
10
10
10
10
10
10
10
1
10
1
1
1
10
1
10
1
10
10
10
1
1
1
1
10
10
10
1
10
1
10
10
10
1
10
10
1
10
1
10
10
1
1
10
10
10
1
10
10
10
10
1
1
1
10
10
10
10
1
10
10
10
10
10
10
10
10
1
1
10
10
10
10
1
10
10
10
10
10
1
10
10
1
1
1
10
10
1
1
10
1
10
1
10
10
10
10
10
1
10
10
1
10
10
10
10
1
10
10
10
1
10
1
1
10
10
1
10
10
2
10
2
10
10
10
10
10
10
2
1
1
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
1
1
1
1
10
1
1
10
10
1
10
10
10
10
10
10
10
10
1
10
10
10
10
10
1
1
10
10
1
10
1
10
2
10
1
10
10
1
10
1
10
10
2
1
10
10
10
1
10
2
1
10
10
10
10
10
1
10
10
10
1
1
10
10
10
10
1
10
10
10
1
10
10
10
10
1
10
1
1
10
10
1
10
1
10
10
1
1
10
10
10
10
10
1
10
1
1
1
1
10
10
10
10
10
10
1
1
10
10
10
1
1
10
10
1
10
1
10
1
10
1
10
10
10
1
10
1
10
1
10
10
10
10
1
10
10
10
1
10
1
1
1
10
1
10
10
10
10
10
10
10
1
10
10
1
1
10
10
10
10
10
10
10
1
10
1
10
1
10
10
1
1
10
1
10
10
10
10
10
10
1
1
10
10
1
10
10
10
10
10
1
10
10
10
10
1
10
10
10
10
1
10
1
10
10
10
10
1
10
10
1
1
10
1
1
10
10
10
1
10
10
1
1
10
10
10
10
10
10
1
1
1
10
10
1
1
10
10
10
10
1
1
10
10
10
10
10
1
10
10
1
1
1
10
1
10
10
1
10
1
10
10
1
10
10
10
1
1
10
1
1
10
10
1
10
10
10
10
1
10
1
10
1
10
10
10
10
10
10
10
10
10
1
1
10
1
10
10
10
10
10
10
1
10
1
10
10
10
1
10
10
10
1
10
10
10
10
10
1
1
10
10
1
10
10
1
1
10
1
10
2
10
1
10
1
10
1
1
10
10
1
10
10
1
1
10
1
1
1
10
10
1
1
10
10
1
2
10
1
10
1
10
10
10
1
10
10
10
1
10
10
1
10
1
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
1
10
10
10
10
10
10
10
1
10
10
10
1
10
1
10
1
10
1
10
10
1
10
10
10
1
10
10
10
1
2
10
10
10
1
10
10
1
10
10
1
1
10
10
1
10
10
1
10
10
10
10
10
1
1
10
10
1
10
10
10
1
10
10
1
10
1
10
1
10
10
1
2
10
10
1
10
1
10
10
10
1
10
1
1
1
10
1
10
10
1
1
10
10
10
1
10
10
10
1
10
10
1
1
10
10
10
1
10
1
1
1
1
10
10
1
10
1
1
1
10
10
10
10
10
1
1
10
10
10
1
10
10
10
10
10
1
10
1
10
10
1
10
1
1
10
10
2
1
10
10
2
10
2
10
2
1
1
10
10
1
1
10
1
1
1
10
1
1
1
10
1
1
10
10
1
10
1
10
10
10
1
10
10
10
5
10
1
1
1
10
1
10
10
10
1
10
10
10
1
10
10
10
1
10
1
1
1
1
10
10
10
1
10
10
1
2
10
1
10
1
10
10
10
10
1
10
10
1
10
10
10
10
1
10
10
10
10
10
1
10
1
1
10
10
1
1
10
10
10
1
10
10
10
1
1
10
1
1
10
10
1
10
1
10
1
1
10
10
10
10
1
10
10
10
10
10
1
10
10
1
10
1
1
1
10
10
1
1
10
10
1
10
10
1
1
10
10
1
10
10
1
10
10
10
2
1
1
1
1
10
10
1
1
1
10
10
1
10
1
10
1
10
10
1
10
10
1
10
10
10
10
10
10
10
10
10
2
1
1
10
10
1
1
1
10
10
1
10
10
10
1
10
10
10
1
10
10
1
1
1
10
10
10
10
10
1
10
1
10
1
10
1
1
10
1
1
10
10
1
10
1
10
10
1
10
10
1
10
1
10
10
10
10
1
10
10
2
10
10
10
1
1
10
1
10
10
1
1
10
10
2
10
1
1
10
1
10
1
10
1
10
10
10
10
10
10
1
10
1
1
10
10
10
1
10
10
10
10
1
10
1
10
1
1
10
1
10
1
1
10
10
1
1
10
10
10
10
1
1
1
1
10
1
10
10
1
10
1
1
10
10
1
10
10
1
10
10
10
10
1
10
1
10
10
10
10
10
1
10
10
10
10
10
1
2
1
10
10
2
1
1
1
10
1
1
10
10
1
10
10
1
10
10
10
10
10
1
10
10
10
1
1
1
10
1
1
10
10
1
10
10
1
10
10
10
10
10
10
10
10
10
10
1
10
10
1
10
1
1
10
10
1
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
5
10
10
10
10
10
10
10
10
10
2
1
10
10
2
10
10
2
1
10
10
2
10
10
2
10
10
10
10
1
10
1
1
10
10
1
1
10
1
1
1
1
10
1
1
1
1
1
1
10
10
10
1
10
1
10
10
10
10
10
10
10
1
10
10
1
10
1
1
1
1
10
10
10
1
1
1
1
10
10
1
10
1
10
1
10
10
1
1
10
1
10
10
10
1
10
10
5
1
1
10
1
1
10
1
1
1
1
10
1
10
10
1
10
1
10
10
1
10
10
1
1
1
10
10
10
1
10
1
10
1
1
10
1
1
1
2
10
10
10
10
1
10
10
1
10
1
10
10
10
1
1
1
1
10
10
1
1
1
10
1
1
10
10
10
10
1
1
10
10
10
1
10
1
10
10
10
10
1
10
1
1
2
10
1
10
1
10
1
10
1
10
10
1
2
10
1
1
1
10
10
1
10
10
10
1
10
1
2
10
1
10
10
10
10
1
1
10
1
1
10
10
1
10
10
9
10
1
1
1
1
1
10
1
10
10
10
1
10
10
1
1
5
1
1
10
1
1
10
10
10
10
1
1
1
10
10
1
1
10
10
1
10
10
10
10
10
10
2
10
1
1
1
10
10
10
10
1
10
10
1
10
10
10
1
1
10
10
1
10
10
2
1
10
10
10
10
10
1
10
10
10
10
10
1
1
10
1
1
1
10
10
10
10
1
10
10
1
1
10
10
10
10
10
1
1
10
10
10
1
10
10
10
1
10
1
1
1
10
10
1
1
10
1
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
1
1
10
10
10
1
1
1
10
1
1
1
1
10
1
10
1
10
10
10
1
10
10
10
10
10
10
10
1
1
10
2
1
10
10
1
1
10
10
10
10
1
10
1
10
10
10
10
1
10
1
1
10
1
1
1
10
2
10
1
10
1
10
10
10
1
1
10
10
10
1
10
10
1
1
10
10
1
1
10
10
1
1
1
10
1
1
10
5
10
10
1
10
10
10
1
10
1
1
10
1
10
1
10
10
1
1
10
1
10
1
1
1
10
1
10
10
10
1
10
10
1
1
1
10
1
1
10
10
1
1
10
10
10
10
1
10
1
10
10
10
10
1
10
1
1
1
10
1
10
1
1
1
10
10
1
10
10
10
1
10
1
1
2
10
10
10
2
10
10
10
10
10
10
10
1
1
10
10
10
10
1
1
10
10
1
1
10
10
1
10
2
10
10
10
10
1
10
1
1
10
1
10
10
10
1
10
5
10
1
10
10
10
1
10
10
10
1
5
1
10
10
1
10
1
10
1
1
1
10
1
1
1
2
1
2
10
10
1
10
1
1
2
1
1
10
10
1
10
2
10
10
10
1
10
1
1
1
10
1
1
10
1
10
10
1
10
2
1
1
10
10
10
10
10
10
1
1
1
1
1
10
10
1
10
10
10
1
10
10
1
1
10
10
10
1
10
10
1
1
1
10
10
1
1
1
10
10
10
10
10
10
10
10
10
2
10
10
1
1
1
10
1
10
10
10
10
10
10
10
10
1
1
1
10
1
10
10
1
1
10
10
1
1
10
10
10
1
10
1
1
1
10
10
1
1
10
10
1
1
10
1
1
10
10
10
1
10
10
1
1
1
1
1
10
1
10
1
10
1
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
1
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
1
1
10
10
10
10
10
10
10
10
10
10
10
2
10
1
10
1
10
10
1
1
10
10
1
10
10
10
1
10
1
1
10
1
10
10
10
10
1
1
10
1
10
2
10
10
10
1
1
10
10
1
10
2
10
10
10
10
10
1
10
10
10
10
10
10
1
1
10
1
1
1
10
10
1
10
10
10
10
10
10
10
2
1
10
10
1
1
1
1
10
1
10
10
1
10
10
1
10
10
10
10
10
10
1
10
10
1
10
10
10
10
1
10
10
10
10
10
1
1
10
10
10
10
10
10
1
10
1
10
10
10
1
10
10
1
1
10
10
10
1
10
1
1
1
1
10
10
10
1
10
10
1
10
1
10
10
10
1
10
1
1
1
10
10
1
1
10
10
1
10
10
1
10
1
10
10
1
1
10
10
1
1
1
10
1
10
10
1
1
1
1
1
1
10
1
1
10
10
10
10
10
10
10
1
10
10
1
1
10
10
1
1
10
10
1
1
1
10
1
10
2
10
10
2
10
10
10
1
1
10
1
10
10
10
1
10
1
10
1
10
1
10
1
10
10
1
10
10
1
10
1
10
10
10
1
1
10
1
1
1
1
10
1
1
10
10
10
10
10
10
1
10
10
1
1
1
10
1
10
10
10
10
10
1
1
1
10
1
1
1
10
10
1
10
1
1
10
10
10
1
10
10
1
10
1
10
10
10
10
10
10
1
10
10
1
1
10
10
1
1
10
10
1
1
10
10
1
1
10
10
1
10
10
10
1
10
10
10
1
10
1
1
1
10
10
10
1
1
10
10
1
10
10
10
10
10
10
10
10
10
10
1
10
1
1
1
10
1
1
10
2
10
10
1
2
1
10
1
1
10
10
1
10
10
10
1
2
10
10
10
10
10
10
10
10
10
10
10
1
1
10
1
1
1
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
1
1
10
10
1
1
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
2
1
1
10
10
1
10
10
10
1
10
10
10
10
10
1
10
10
1
1
10
10
10
10
1
10
10
10
10
10
10
1
10
1
10
1
10
1
10
10
10
1
2
10
1
1
10
10
10
1
10
10
10
10
1
10
10
10
10
10
10
1
10
10
10
10
1
10
1
10
10
10
1
1
10
10
10
1
10
10
10
10
1
10
10
10
10
1
10
1
10
5
10
10
1
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
1
10
10
1
1
10
10
10
1
1
1
10
1
1
10
1
10
1
10
10
1
1
1
10
1
10
10
1
10
10
1
10
10
1
1
1
1
1
10
1
10
1
10
1
1
10
1
10
1
1
1
10
1
10
10
10
10
1
10
1
10
1
10
10
1
10
10
1
1
10
10
10
1
10
10
1
10
10
10
1
1
10
10
1
1
10
10
10
1
1
1
1
1
10
1
1
10
1
10
10
1
10
10
10
1
1
10
10
10
1
10
1
10
10
1
10
10
2
10
10
1
10
10
1
1
1
1
1
10
10
1
10
10
1
10
10
10
1
10
10
10
2
10
10
1
10
10
10
1
10
10
10
10
10
10
10
10
10
1
10
1
1
10
1
1
10
1
10
10
10
1
10
1
10
2
10
10
10
10
10
10
10
10
10
10
10
1
1
1
10
1
1
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
1
1
10
1
1
1
10
1
10
10
10
10
10
10
10
10
1
10
10
10
1
1
10
10
10
2
10
10
1
10
10
10
10
1
1
10
1
10
1
1
1
1
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
1
10
1
1
1
1
1
1
1
10
10
1
1
1
10
10
1
10
1
10
1
10
10
1
10
10
10
10
1
10
10
1
10
1
1
10
10
1
1
10
1
10
1
10
10
10
1
10
10
10
1
10
10
1
10
1
10
2
1
10
10
10
1
10
10
10
1
10
1
10
1
10
10
10
10
1
10
10
1
10
10
10
10
1
1
1
1
10
10
1
1
10
1
10
2
1
10
10
10
10
1
10
10
10
1
10
10
10
10
1
10
10
1
10
10
2
1
10
10
10
1
10
10
10
1
1
10
10
10
1
10
1
2
1
1
10
1
1
5
10
10
10
10
10
10
1
10
10
1
10
10
1
1
1
10
10
1
10
10
1
10
10
1
10
10
10
1
2
10
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
10
10
10
1
10
10
2
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
1
10
10
1
10
10
10
10
10
10
10
10
1
1
10
1
10
1
1
1
1
10
10
10
10
1
1
10
10
10
10
1
10
1
10
1
1
10
1
1
1
10
10
10
10
1
10
1
10
1
1
1
10
1
1
1
1
1
1
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
2
10
10
10
10
1
10
1
10
10
10
10
1
10
10
1
1
10
10
10
10
10
10
1
10
10
10
1
10
10
10
1
1
10
10
1
1
10
1
10
10
10
10
10
1
1
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
1
10
10
1
1
10
10
1
1
10
10
1
1
10
1
10
10
10
1
1
10
1
1
10
10
1
1
10
10
10
10
10
10
10
10
10
10
1
1
1
10
10
10
1
1
1
10
1
10
10
10
1
10
10
10
1
10
10
10
1
10
10
10
10
1
3
10
10
10
10
10
10
1
10
10
10
10
1
1
1
10
10
10
1
10
1
1
1
10
10
10
10
1
10
10
10
1
1
10
10
10
1
1
1
1
10
1
1
1
10
5
10
1
10
10
10
1
1
10
10
10
1
10
10
1
10
10
10
10
10
1
10
1
1
10
10
1
1
10
10
10
10
10
1
10
10
1
10
10
10
10
1
10
10
1
10
1
2
1
1
10
2
1
10
10
10
1
1
10
10
1
1
10
10
10
10
10
10
1
1
1
1
10
1
1
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
1
1
10
10
10
1
10
10
10
10
1
10
1
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
1
10
1
10
10
1
10
1
1
2
10
10
10
10
1
1
10
10
1
5
1
1
10
10
10
10
10
1
1
10
1
10
10
10
1
1
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
2
10
10
1
10
10
1
1
1
10
10
1
10
1
10
10
10
1
10
10
1
1
10
10
1
10
10
10
10
2
1
1
1
1
10
10
10
10
10
1
1
10
10
10
5
1
10
10
5
1
1
10
10
10
5
1
10
10
10
1
1
10
1
1
10
10
1
10
10
10
1
10
10
10
10
10
10
1
10
1
10
1
1
10
1
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
10
1
10
10
1
10
1
10
10
10
10
10
1
10
1
5
1
1
1
1
1
1
10
1
10
10
10
10
1
10
10
1
1
10
1
10
10
10
10
1
1
1
10
1
1
1
10
1
10
1
10
10
1
1
10
1
1
1
10
1
1
10
10
1
10
1
10
1
10
10
1
10
10
10
5
10
10
10
10
1
2
10
1
10
10
10
10
10
10
10
1
1
1
10
10
1
10
1
10
10
10
1
10
10
10
1
10
1
1
10
1
10
10
1
10
10
1
10
10
10
10
1
10
1
1
10
10
10
10
5
10
10
10
1
2
1
1
10
1
1
2
10
10
10
10
1
1
10
10
10
10
10
1
10
2
10
10
1
10
1
1
2
10
1
10
1
10
10
10
1
1
10
10
10
1
1
10
10
1
10
10
10
10
10
10
10
10
2
1
1
10
10
1
1
10
1
1
10
1
10
1
1
10
10
1
1
10
10
1
1
1
10
1
1
10
10
2
1
10
10
10
1
10
10
10
1
10
1
10
1
10
10
10
1
1
10
1
1
10
10
1
1
10
10
1
1
10
1
10
10
2
1
10
1
10
10
10
1
1
10
10
1
10
10
10
10
10
2
1
10
10
10
1
1
10
10
1
10
10
10
10
10
10
1
1
1
1
1
10
10
10
10
1
10
10
10
10
10
10
2
10
1
10
10
10
1
1
10
10
10
1
10
1
10
1
10
1
1
1
10
1
1
1
10
10
1
1
10
10
10
10
10
10
1
1
10
10
1
1
1
1
1
10
10
1
1
10
1
10
10
10
10
1
10
10
10
1
10
10
10
1
1
10
10
10
10
10
10
1
1
10
10
10
10
10
10
10
10
1
1
10
10
1
10
1
10
10
10
10
10
1
1
10
1
10
1
10
10
1
10
1
1
10
10
1
1
10
10
10
1
1
10
10
1
10
1
1
10
10
10
1
1
10
10
1
10
10
1
1
10
10
10
10
10
1
10
10
10
10
1
10
10
10
1
10
10
10
10
10
10
1
1
10
10
1
2
10
10
1
10
1
1
1
10
10
1
10
10
10
10
10
10
1
10
10
1
1
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
1
1
10
10
10
10
10
10
10
1
1
10
1
1
1
10
10
1
1
1
1
10
1
10
1
10
1
10
10
10
10
10
1
10
10
10
1
10
10
1
1
10
1
10
10
10
10
10
10
1
10
2
1
10
1
10
10
1
1
10
1
10
1
1
1
10
1
10
10
10
10
1
10
1
10
10
10
1
10
1
10
10
10
10
1
10
1
1
1
10
1
10
10
1
10
10
10
1
10
10
10
10
10
10
1
1
1
1
1
10
10
2
1
10
10
1
10
1
1
10
10
10
1
10
10
2
10
1
1
1
10
10
10
1
10
10
1
10
1
1
1
10
10
1
10
10
1
1
10
1
1
10
10
10
10
1
10
10
2
1
10
10
1
1
10
10
1
5
10
10
1
1
10
10
10
1
10
1
10
1
10
1
10
10
10
10
10
10
1
1
2
10
10
10
10
10
10
10
10
1
10
10
10
10
1
10
10
3
1
10
10
10
10
1
1
10
10
1
10
10
10
10
10
10
10
1
1
10
1
10
10
1
1
10
10
1
1
2
10
10
10
10
1
1
10
10
10
10
10
10
10
1
1
10
10
1
1
10
1
10
1
10
10
10
10
10
10
10
1
10
10
10
1
10
10
1
10
10
1
1
10
1
1
10
10
1
10
10
10
1
10
1
10
10
1
1
10
1
1
1
10
10
10
1
1
1
10
1
1
10
1
10
10
10
1
1
1
1
10
10
1
10
1
10
10
10
1
10
1
1
5
10
10
10
1
1
1
10
1
1
10
1
5
10
10
10
10
10
10
10
10
10
10
2
1
10
1
1
1
10
1
10
1
10
1
1
10
10
1
10
10
10
10
1
10
10
10
1
10
10
10
1
10
2
10
10
10
10
10
10
10
10
1
1
10
10
1
10
10
10
10
10
1
10
10
10
1
1
10
1
2
10
1
10
1
10
10
1
10
10
1
1
1
1
1
1
1
10
1
1
1
10
10
1
10
10
1
10
10
1
10
10
10
10
1
10
1
1
1
10
10
10
10
10
10
10
1
1
10
10
1
10
2
10
10
10
10
10
10
10
10
10
1
10
10
10
1
10
1
1
1
10
1
1
10
10
1
10
10
10
10
10
10
10
10
10
10
1
2
1
10
10
10
1
10
1
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
1
1
10
10
1
1
10
10
10
1
1
1
1
1
10
1
1
10
1
10
10
10
10
10
10
10
10
1
10
10
1
10
10
10
1
2
10
10
10
1
1
1
10
10
10
1
1
10
1
10
1
10
1
10
10
10
1
10
10
10
10
1
10
10
10
10
10
1
1
10
10
10
1
10
10
1
10
1
1
1
10
1
1
10
1
10
1
10
1
1
1
10
10
10
10
1
1
10
1
1
10
10
1
1
10
10
1
2
10
10
10
1
10
10
10
1
10
1
1
10
10
1
10
2
10
1
10
10
1
10
10
10
10
10
10
10
1
10
10
10
1
2
10
1
1
1
10
10
2
10
10
1
10
10
10
10
10
1
1
10
10
1
1
10
1
10
10
10
10
10
10
10
10
10
10
1
1
10
10
1
10
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
1
10
10
10
10
1
1
10
1
1
10
10
10
10
1
10
1
10
1
10
1
1
10
1
10
2
10
10
10
10
1
1
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
5
1
1
1
10
1
1
1
10
10
10
1
10
1
1
10
1
1
1
10
10
5
1
10
1
10
1
10
10
10
10
10
1
10
10
10
1
10
1
10
10
10
1
10
1
1
1
10
2
10
10
1
1
1
10
10
1
10
10
2
1
10
10
1
1
10
10
10
10
10
1
2
10
1
10
1
1
10
2
10
1
10
10
1
1
1
10
1
10
10
1
1
10
10
1
1
10
1
10
1
10
10
1
10
10
10
2
1
1
10
1
10
1
10
10
10
10
10
10
10
1
10
10
1
1
10
10
10
1
10
1
2
1
1
10
10
1
10
1
1
10
10
1
1
1
10
1
1
10
10
10
1
10
10
10
10
10
1
10
10
1
1
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
1
10
10
1
10
10
10
10
10
1
1
1
1
10
1
1
1
10
10
1
10
10
10
10
10
1
10
2
1
10
10
1
1
1
10
10
10
10
10
1
5
1
1
10
10
1
10
10
1
10
10
10
10
10
10
10
10
10
1
10
10
10
10
1
10
10
10
1
10
10
10
2
10
1
10
10
10
1
10
10
1
10
1
1
10
1
10
1
10
1
1
1
10
10
10
10
10
1
1
10
10
10
1
10
10
5
1
1
1
1
10
10
10
1
10
1
10
1
10
10
10
10
10
10
10
10
1
10
1
10
1
10
10
1
10
1
2
1
1
10
1
10
1
10
10
10
10
1
1
10
10
1
1
10
1
10
10
10
1
1
10
10
1
10
10
10
1
10
5
10
10
10
10
1
1
10
10
1
10
1
1
10
10
1
1
1
10
10
1
10
10
1
10
10
10
1
10
10
10
1
1
1
10
10
1
1
1
10
10
10
10
10
10
10
1
10
1
1
10
1
10
1
10
10
10
2
10
10
1
10
10
10
1
10
1
10
10
1
10
10
10
1
10
1
10
10
10
1
10
10
10
10
1
10
1
10
10
1
10
10
1
1
1
10
1
1
1
10
10
10
10
10
10
10
10
1
10
10
10
1
1
1
10
10
1
10
10
10
1
1
10
1
10
10
10
1
1
1
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
1
10
10
10
1
1
10
10
1
10
10
10
10
1
10
10
10
1
1
10
10
5
10
1
10
10
10
1
1
1
1
1
10
10
10
1
5
10
10
10
10
10
10
10
10
10
1
10
10
1
10
10
10
10
10
10
10
10
10
1
1
10
10
10
10
10
1
10
1
1
10
5
1
1
10
10
1
1
10
10
10
10
10
10
10
10
10
10
1
10
1
1
1
1
10
1
10
10
10
1
1
2
10
1
10
1
10
1
1
1
1
10
10
1
1
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
1
10
10
10
10
1
10
10
10
10
10
10
10
1
10
10
1
2
10
10
1
10
1
1
10
1
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
1
10
1
1
10
10
1
10
1
10
1
10
10
1
10
10
1
10
10
1
10
10
1
10
10
10
1
10
10
10
10
10
10
2
10
1
1
1
10
1
1
10
1
2
1
10
1
10
10
10
10
10
10
1
1
10
1
10
10
1
10
10
10
1
10
1
1
1
10
10
10
1
10
10
1
10
10
1
10
10
10
1
1
1
1
5
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
1
1
10
10
1
10
10
1
10
10
10
10
10
1
10
1
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
1
1
10
1
10
1
10
10
1
1
1
10
10
1
1
10
1
10
10
10
10
1
10
10
1
10
10
10
10
10
1
10
10
1
10
10
1
10
10
10
10
10
10
1
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
1
1
10
1
10
10
10
1
10
10
10
1
10
10
1
10
10
1
10
2
1
10
10
1
10
10
10
1
10
10
1
1
10
1
10
1
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
1
10
10
1
1
10
10
10
1
10
10
10
10
1
10
10
10
10
1
1
10
10
1
10
1
1
10
1
10
1
10
1
10
10
10
10
10
10
1
10
10
10
10
10
10
10
1
10
10
1
10
1
10
10
10
10
10
10
10
1
10
1
10
1
10
10
10
10
10
10
10
10
1
1
10
10
10
10
1
1
10
10
1
1
1
1
1
10
10
10
10
10
10
10
1
10
10
10
10
1
10
10
10
10
1
10
10
10
10
10
1
10
10
10
1
10
10
10
10
1
10
10
1
10
1
10
10
10
10
10
1
10
1
1
10
1
10
10
1
10
1
1
1
1
10
1
10
10
2
1
10
10
1
10
10
1
10
1
10
1
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
2
10
1
2
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
1
1
1
1
10
10
10
10
10
1
1
10
10
2
10
10
10
10
10
10
10
10
10
1
10
10
10
1
10
10
1
10
10
10
10
10
10
10
10
1
10
1
10
10
1
10
10
10
10
1
5
10
10
10
10
10
10
1
1
10
10
10
10
10
10
10
10
1
1
10
10
10
10
10
10
10
10
2
10
10
1
1
10
1
10
10
1
10
10
10
1
10
1
10
10
10
10
10
10
10
1
10
10
10
1
1
10
10
1
10
10
1
1
1
10
10
10
10
3
2
1
10
10
1
10
10
1
10
10
10
10
1
10
10
1
1
10
10
10
1
1
1
10
1
10
10
10
1
10
10
10
10
1
10
1
10
10
1
1
10
10
1
1
1
1
1
1
10
10
10
10
1
10
10
1
10
10
2
10
10
10
10
10
10
10
10
1
1
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
1
10
10
10
1
10
1
1
1
1
1
10
10
1
10
1
10
10
10
10
10
10
10
1
1
1
10
1
1
10
1
1
10
10
1
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
1
10
10
10
10
1
10
10
10
10
1
10
10
10
10
10
10
10
1
1
10
10
2
10
1
1
10
1
1
10
10
10
10
10
10
1
10
1
10
10
1
10
10
1
10
1
10
10
1
1
10
10
10
1
1
1
2
10
1
10
10
10
10
10
10
10
10
1
10
10
10
1
2
1
1
10
10
10
10
1
10
10
10
10
10
10
1
10
10
10
10
10
10
10
1
1
1
10
10
10
10
10
1
10
10
10
1
10
10
10
1
10
10
10
10
1
1
10
10
10
1
10
9
10
10
10
10
10
10
10
1
5
10
10
10
1
1
10
10
10
10
10
1
1
1
1
10
1
1
10
10
10
10
10
10
10
10
10
1
1
10
10
10
1
1
10
10
10
10
1
1
1
10
10
1
1
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
1
1
10
1
10
10
2
10
1
1
10
10
10
10
10
10
10
1
10
10
1
1
10
1
1
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
1
10
10
1
10
10
10
10
1
10
10
10
10
1
10
10
10
10
10
10
10
10
1
1
1
10
10
10
10
10
10
10
10
10
10
1
10
10
1
10
1
10
1
1
10
10
10
10
10
10
10
1
1
10
1
10
1
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
1
10
1
10
1
2
1
1
1
1
1
2
10
1
1
10
10
10
10
10
1
2
10
2
10
10
10
1
10
1
10
10
10
10
10
1
10
10
1
10
10
1
10
10
1
10
10
10
10
10
10
10
10
10
10
1
1
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
1
10
10
10
10
1
10
1
1
10
10
10
2
10
10
10
10
10
10
10
10
1
10
10
10
1
10
1
1
10
10
10
10
10
1
1
1
2
10
10
10
10
10
10
10
10
10
10
1
1
1
10
10
1
10
10
10
1
1
1
10
1
10
10
1
10
10
10
10
10
10
10
1
10
10
10
1
9
10
1
1
10
1
10
10
1
1
10
1
10
10
1
1
10
10
1
10
10
1
10
10
10
10
1
10
1
10
10
10
10
10
1
10
10
1
2
2
10
10
1
1
10
1
10
10
1
1
1
10
1
1
10
10
10
10
10
10
1
10
1
1
1
10
1
10
1
10
10
1
10
10
10
10
10
1
1
10
10
10
10
10
10
1
10
10
10
10
10
10
1
1
10
1
10
10
1
10
10
1
10
1
10
10
10
10
10
10
1
1
10
10
1
10
10
1
10
10
10
10
10
1
10
1
1
10
10
10
10
10
10
1
2
10
1
1
10
1
10
10
1
1
1
10
10
1
1
10
10
1
10
1
10
10
10
1
1
10
10
10
10
1
10
1
1
2
10
1
10
1
1
1
10
10
10
1
10
10
10
1
2
10
10
1
1
10
10
10
10
10
5
10
10
10
10
10
10
10
10
1
1
10
5
10
10
10
1
1
10
10
10
10
1
10
10
10
1
10
10
1
10
10
10
10
10
10
1
1
1
1
10
10
10
10
1
10
10
10
10
10
10
1
10
10
10
1
10
1
10
1
1
10
10
10
10
10
1
1
10
10
10
10
10
1
1
10
10
10
1
1
10
1
1
10
1
10
10
1
10
10
10
1
10
1
10
10
10
1
1
10
10
10
10
10
10
1
1
10
1
1
10
10
10
10
10
10
10
10
10
1
1
1
10
10
1
1
10
10
1
10
1
1
1
10
10
10
10
1
1
1
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
1
1
10
10
1
1
10
10
10
10
10
10
10
10
10
10
1
10
10
1
10
1
1
10
1
1
10
10
10
10
10
10
10
1
10
10
1
10
1
10
10
2
1
10
10
10
1
10
1
1
10
10
1
10
10
1
1
10
1
10
10
10
10
10
10
10
10
10
10
10
1
1
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
1
1
10
10
10
10
10
10
10
10
10
10
1
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
10
10
10
10
10
1
10
10
10
10
1
10
10
10
1
10
1
10
10
10
10
10
7
10
10
1
1
10
10
10
10
10
1
10
10
1
10
10
10
1
10
1
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
1
10
10
2
10
2
2
10
10
1
1
10
10
10
1
10
10
5
10
10
10
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
1
10
10
1
10
10
1
1
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
1
1
10
1
10
1
10
10
1
1
10
10
1
1
10
1
1
10
10
10
1
10
10
10
1
1
10
1
1
10
10
10
10
10
10
1
1
10
10
1
1
10
10
10
10
10
10
1
10
10
1
10
10
10
10
10
10
10
10
10
1
1
10
1
10
10
10
10
10
10
10
10
10
1
10
10
1
10
1
1
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
1
1
10
10
10
1
10
10
1
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
1
1
10
10
10
1
10
10
1
10
1
10
10
1
10
10
1
1
10
10
10
10
1
10
10
10
10
10
10
10
10
1
10
10
10
10
1
1
10
10
10
10
10
10
1
1
10
10
10
10
10
1
2
1
10
10
10
10
1
10
10
10
1
10
1
10
10
1
10
10
10
10
1
10
10
10
1
10
1
2
2
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
1
1
1
10
10
10
1
10
5
5
5
1
1
10
10
10
1
10
10
1
1
5
1
1
10
1
1
1
10
1
10
1
10
1
1
1
10
1
1
10
1
10
1
1
10
10
10
10
10
1
10
1
10
10
10
10
1
1
10
2
2
1
10
1
1
10
10
1
1
10
10
1
10
10
1
1
1
10
1
10
10
10
10
1
1
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
1
1
1
10
10
10
10
1
10
10
10
10
1
10
10
1
1
1
10
10
10
1
10
10
10
10
1
10
10
10
10
1
1
10
1
1
10
1
1
10
10
1
10
10
10
1
1
1
1
10
10
10
10
10
10
10
10
10
1
10
10
1
10
1
10
10
1
1
1
1
10
10
10
10
1
10
1
1
1
10
1
1
1
10
10
10
10
1
10
10
10
1
1
10
10
10
10
1
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
1
10
10
10
1
1
10
10
1
10
10
10
10
10
10
10
1
1
1
1
10
10
10
10
10
10
10
10
10
1
10
1
1
1
10
10
10
10
1
10
1
10
10
10
1
10
10
1
10
10
10
1
1
10
1
1
10
1
1
10
1
10
10
10
10
10
10
10
10
1
10
1
1
10
1
10
10
10
10
10
1
10
1
10
1
10
1
1
10
10
2
10
10
10
1
10
1
1
1
10
10
1
10
2
10
10
10
10
10
10
10
2
10
10
1
1
1
10
1
1
1
1
1
1
10
10
10
1
1
1
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
1
1
10
10
1
10
10
10
10
10
10
1
1
10
10
10
10
10
10
10
10
1
10
10
10
10
10
1
1
10
1
1
10
10
1
1
10
1
1
10
10
1
10
10
10
10
1
10
10
10
10
10
1
10
10
1
10
1
10
10
10
1
10
10
10
10
1
10
1
1
1
10
10
10
10
10
10
10
1
10
10
1
10
10
10
10
10
10
1
10
1
1
1
10
1
10
10
1
1
1
1
10
10
1
10
10
10
1
10
1
1
10
10
10
10
10
10
10
10
10
1
1
10
10
10
1
1
10
10
1
10
1
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
1
10
1
10
1
1
10
10
10
10
10
10
10
10
10
10
1
1
1
1
1
1
1
10
1
1
1
10
10
10
10
10
1
1
10
10
10
1
10
10
1
10
10
10
1
10
10
1
1
10
1
10
1
10
10
1
10
1
10
10
1
1
10
1
10
10
10
10
10
10
10
10
1
10
1
1
1
10
1
10
10
10
1
1
1
1
10
1
10
1
1
10
10
1
10
10
1
10
10
10
10
1
10
10
10
10
10
10
10
10
1
10
10
1
10
10
10
10
1
10
1
10
10
10
10
10
10
1
1
10
10
10
10
1
10
1
10
10
1
1
10
1
10
10
10
10
1
1
1
1
1
10
10
1
1
10
1
1
10
10
1
1
10
10
1
10
1
10
10
10
10
1
10
10
1
10
10
10
1
10
10
10
1
1
10
10
10
1
10
10
10
1
10
10
10
10
1
10
10
10
10
10
10
10
1
1
1
1
10
10
10
1
1
1
10
10
1
10
10
10
10
10
10
10
10
10
1
10
10
1
1
1
10
10
1
10
10
1
10
1
10
1
10
10
10
1
10
10
10
10
1
10
10
1
10
10
10
10
1
1
10
10
10
10
1
1
10
10
10
1
10
10
10
10
1
1
1
1
10
10
1
1
10
1
1
10
1
1
1
1
10
10
1
1
10
10
1
10
10
1
1
1
10
1
10
10
1
10
1
1
10
1
10
10
1
10
10
10
1
10
10
10
1
10
1
10
10
10
10
10
1
10
1
10
10
10
10
10
1
1
10
10
1
10
10
1
10
10
10
1
10
10
10
1
1
1
10
10
10
1
10
1
10
10
10
10
1
10
1
10
10
1
10
1
10
10
1
10
1
1
1
1
1
10
10
1
1
10
10
10
10
1
10
1
1
1
10
1
1
10
10
1
10
10
10
10
1
10
1
10
10
1
1
1
1
10
1
10
10
1
10
10
1
10
10
1
10
1
10
10
10
10
10
1
1
10
1
10
10
10
10
10
1
10
10
10
1
10
1
10
1
10
10
1
1
10
10
1
10
10
10
10
10
10
10
1
10
10
10
10
1
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
1
10
1
10
10
1
1
1
10
10
10
1
1
10
1
1
10
10
10
10
1
1
1
1
1
10
10
10
10
1
10
1
10
1
10
10
1
1
10
10
10
10
10
10
10
10
1
10
10
10
1
10
1
1
1
10
10
1
10
1
10
10
10
1
1
1
1
1
10
10
10
1
10
1
10
10
10
10
1
10
1
1
1
2
10
10
10
10
1
10
10
10
10
10
10
10
10
1
10
1
10
1
10
10
10
10
10
10
10
10
10
10
1
10
1
1
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
1
1
10
10
10
10
10
10
10
10
1
10
10
1
10
10
10
5
10
10
10
10
1
10
10
10
10
1
10
1
10
10
10
1
10
1
10
10
10
1
10
1
1
1
1
10
10
1
10
10
10
10
10
10
10
10
1
10
1
10
10
1
1
10
10
1
1
10
1
10
1
10
1
10
1
1
1
2
10
10
1
10
1
10
10
10
10
10
1
1
1
10
10
10
1
10
2
10
10
1
1
10
10
1
10
10
10
10
10
10
10
10
1
10
1
10
10
1
10
10
10
1
10
1
10
10
1
10
10
1
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
1
1
10
10
1
10
10
10
10
10
10
10
10
1
10
1
10
10
10
1
10
10
10
1
10
1
10
10
1
1
10
10
1
1
10
10
10
10
1
10
1
10
10
10
10
10
10
10
1
1
10
1
1
10
10
9
1
1
10
10
1
10
10
1
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
1
1
2
10
10
1
10
9
1
2
10
10
1
1
10
10
1
10
1
10
10
10
10
10
10
10
1
10
1
1
10
1
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
2
10
10
10
1
10
2
1
1
1
10
10
10
1
1
10
1
10
1
1
10
10
10
1
1
10
10
10
10
1
10
10
10
10
10
10
1
10
10
10
10
10
10
1
10
10
10
10
10
1
10
10
1
10
1
10
10
1
10
10
10
1
10
10
10
1
1
10
10
1
1
10
10
1
10
10
10
10
10
10
1
1
10
1
10
10
1
10
10
10
10
10
1
1
10
10
10
10
10
10
10
10
1
10
10
1
10
1
10
1
10
1
10
1
2
1
10
10
10
5
10
10
2
1
10
10
10
10
1
1
1
10
10
10
10
1
10
10
10
10
10
10
1
10
10
10
10
10
1
1
10
10
10
1
1
10
1
10
1
2
1
10
10
10
10
10
10
10
10
10
1
1
1
1
10
10
10
1
1
10
1
10
10
10
10
10
10
10
10
1
10
10
1
1
10
10
10
1
10
10
10
10
1
10
10
10
10
2
1
10
10
10
10
1
1
10
1
10
10
10
1
10
10
1
10
10
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
10
10
1
10
1
10
10
1
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
1
1
1
10
10
1
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
1
1
10
10
10
1
1
10
10
10
10
1
10
1
10
10
10
1
10
1
10
10
10
10
1
10
10
10
10
1
10
1
10
1
10
1
10
10
10
10
10
1
10
10
10
2
10
1
10
1
1
10
10
10
10
10
10
1
1
2
10
1
1
10
10
1
10
10
10
1
10
10
10
10
1
1
10
10
1
1
1
10
10
10
10
10
1
10
1
10
10
1
1
10
1
10
1
10
10
1
10
10
10
10
10
10
1
1
1
1
10
10
10
10
10
10
10
10
1
10
1
10
1
1
10
10
1
10
10
10
10
10
10
1
1
1
10
10
10
10
10
10
1
1
10
10
10
10
10
1
10
10
1
1
1
1
1
10
10
1
10
10
10
10
10
10
1
10
1
10
1
10
1
10
10
10
1
1
10
10
10
10
10
10
1
1
1
1
10
1
10
10
10
10
1
10
10
10
1
10
1
10
10
10
10
10
1
10
1
1
10
10
10
10
1
1
1
10
1
10
1
10
10
1
10
10
10
10
5
10
10
10
10
10
10
1
1
10
10
1
1
1
10
10
2
10
1
10
10
10
1
10
1
10
10
10
1
10
1
10
10
10
1
1
10
10
1
10
1
10
10
10
1
1
1
1
10
10
10
10
10
1
10
10
10
10
1
10
1
1
1
1
10
10
2
10
1
10
1
1
1
1
10
10
10
1
1
10
10
1
10
1
10
10
10
1
1
10
10
1
10
10
1
10
10
10
1
1
10
10
10
1
10
10
10
10
10
10
1
10
10
1
10
1
10
10
1
10
10
1
1
10
10
1
10
10
10
10
1
10
1
10
10
10
1
1
10
1
10
10
10
10
10
10
10
10
1
1
10
10
10
1
10
10
1
10
1
10
1
1
1
1
1
1
10
10
10
10
10
10
10
1
2
1
10
10
10
10
10
10
1
1
10
10
1
1
10
10
10
10
10
10
1
10
10
10
10
10
1
10
1
10
10
1
10
10
10
1
10
10
10
10
1
10
10
10
10
10
10
1
10
10
10
10
10
1
10
10
1
10
1
10
10
1
10
1
1
10
10
10
10
10
10
10
10
1
10
10
10
10
1
10
1
10
10
10
10
10
1
1
1
1
10
10
10
10
10
1
10
1
1
10
10
10
2
1
10
1
10
10
10
10
10
10
10
10
1
10
1
1
10
1
10
1
10
10
10
1
10
1
10
10
10
10
1
10
10
1
10
10
1
10
10
1
10
1
10
10
10
10
10
1
1
1
1
1
10
1
2
1
1
1
1
10
1
10
10
10
1
10
1
1
10
10
10
10
10
1
1
10
10
1
10
10
1
1
1
1
1
1
10
10
2
1
1
10
1
1
1
1
10
1
1
1
1
10
1
1
1
1
10
1
10
10
10
10
10
1
10
10
1
1
10
10
10
1
10
1
1
10
10
10
10
10
1
1
10
10
10
10
10
1
10
1
10
10
1
10
10
10
10
1
1
10
1
1
1
10
1
10
10
10
10
1
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
1
10
10
10
10
10
1
1
10
1
10
1
1
10
1
1
10
1
1
1
10
10
10
10
10
1
10
10
1
1
1
10
1
10
10
10
10
1
10
10
10
1
10
10
10
1
10
10
10
10
10
10
10
10
10
1
10
10
10
10
1
10
10
1
10
1
1
10
10
10
10
1
10
10
1
1
1
10
1
10
10
10
10
10
10
1
10
1
10
10
1
10
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
1
1
10
10
10
10
1
10
10
10
10
1
10
10
1
10
10
10
10
10
10
1
10
10
10
10
1
10
10
1
10
1
10
10
10
10
1
10
10
10
1
10
10
1
10
10
1
10
10
10
1
10
10
5
10
1
10
10
10
1
10
1
1
1
1
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
1
10
10
10
10
10
1
1
1
10
1
1
1
1
10
10
1
10
10
1
10
10
10
1
10
10
10
10
10
10
1
10
10
2
10
10
10
1
1
1
1
1
10
10
10
10
10
10
1
1
10
1
10
10
10
10
1
10
10
10
1
10
1
10
1
10
1
10
10
10
10
10
10
10
1
1
10
1
1
10
1
1
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
1
1
1
10
1
10
10
1
1
10
10
5
1
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
1
1
1
10
1
10
10
10
10
10
1
10
10
10
10
10
10
2
10
10
1
10
10
10
1
1
10
10
10
1
10
10
10
10
1
1
10
10
1
1
10
10
10
1
10
10
1
10
10
10
1
10
1
10
10
10
1
1
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
1
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
1
10
10
10
10
1
1
10
10
1
10
10
1
10
1
1
1
10
10
10
1
10
10
10
10
10
10
1
10
10
1
1
10
10
10
10
10
10
1
10
10
10
10
10
10
10
1
10
10
10
10
1
10
10
10
10
10
10
10
1
1
10
1
10
10
10
10
10
10
10
10
10
2
10
10
10
10
10
10
10
1
10
1
10
1
1
10
1
10
1
10
10
1
10
10
1
10
10
1
1
10
10
10
10
1
1
2
1
10
10
10
10
1
10
10
1
10
10
10
1
1
10
10
1
10
10
10
10
10
1
1
10
1
10
10
10
10
1
10
1
1
10
10
10
10
10
10
10
10
10
10
1
10
10
1
10
10
10
1
10
1
10
1
10
10
10
10
10
1
1
10
1
1
1
9
10
10
10
10
10
10
1
10
1
1
1
10
1
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
10
10
10
10
10
10
1
1
10
1
1
1
10
1
1
1
1
10
1
10
10
1
10
10
10
10
10
10
1
10
1
10
1
10
10
1
10
10
1
10
10
1
10
10
10
10
10
1
10
10
10
10
1
1
10
1
10
10
10
2
10
1
10
10
1
10
1
10
10
10
1
10
10
10
10
10
1
10
10
1
1
1
10
10
1
1
10
10
10
10
10
10
10
10
10
1
1
10
1
10
10
10
10
1
10
10
1
10
10
10
2
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
1
10
10
1
1
1
1
5
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
1
10
1
1
10
1
1
10
10
1
10
10
10
10
1
1
10
10
1
10
1
1
1
10
10
10
10
10
10
10
10
1
1
10
10
10
1
10
10
1
1
10
10
1
10
10
1
10
10
10
10
10
1
1
10
10
1
1
1
1
10
1
10
10
10
10
10
1
1
10
10
10
10
10
10
1
10
10
10
1
1
10
10
10
10
1
10
10
10
1
1
10
10
10
10
10
1
10
10
5
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
1
1
1
2
1
1
10
10
10
10
10
10
10
10
10
1
1
10
10
10
10
10
10
10
1
10
1
1
1
10
1
10
10
10
1
10
1
1
10
1
10
10
10
1
10
1
1
10
10
1
10
1
10
10
10
10
1
10
10
1
1
1
1
10
10
10
10
10
10
1
10
10
10
10
10
1
1
5
1
10
10
10
10
1
10
1
1
10
5
10
10
10
1
10
1
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
1
10
1
1
10
10
10
10
10
1
10
10
1
1
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
1
10
10
10
10
1
10
1
10
10
10
5
1
1
10
10
10
10
1
10
10
1
2
10
10
10
10
10
1
10
10
10
10
1
10
10
1
10
1
1
10
10
1
10
1
10
1
10
10
1
1
10
10
2
1
10
10
10
1
10
10
10
1
1
1
10
10
1
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
1
10
10
10
10
1
10
1
10
1
10
10
10
1
10
10
1
1
10
10
10
1
1
1
1
10
10
10
10
10
1
10
10
1
10
10
10
10
10
10
10
1
10
1
10
1
10
1
10
10
1
10
1
1
10
10
10
10
1
10
10
1
1
10
1
10
10
10
1
10
10
10
10
1
10
10
1
1
10
10
10
1
1
1
1
1
10
10
10
1
10
10
10
10
1
10
1
10
10
10
10
10
1
10
10
1
1
10
1
1
10
10
1
10
10
1
10
10
10
10
1
1
10
10
10
10
1
10
10
1
10
10
1
1
10
10
10
1
10
1
10
10
1
10
10
1
2
1
10
1
10
10
1
1
10
1
10
10
10
10
10
1
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
1
10
1
10
10
10
1
10
10
10
10
10
10
1
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
1
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
1
10
10
10
1
10
1
1
1
10
10
10
1
10
10
10
10
10
10
10
10
10
1
10
1
1
1
10
1
10
10
10
1
10
1
10
2
1
10
2
10
10
10
10
10
10
10
1
1
10
10
10
10
10
10
10
1
1
10
10
10
10
10
10
10
10
10
1
10
1
1
1
1
10
1
10
10
10
10
10
10
10
10
10
1
10
1
1
10
10
1
1
1
1
10
1
10
1
10
10
10
10
10
1
10
1
10
10
10
10
1
10
10
10
1
10
10
1
10
1
1
10
10
10
1
5
10
10
1
1
10
10
10
1
10
1
1
10
10
1
1
10
10
1
10
10
10
10
1
1
1
1
1
5
10
10
10
10
10
1
1
1
1
5
1
10
10
10
1
1
1
10
1
10
1
10
10
10
10
10
1
10
10
10
1
1
10
1
10
10
10
10
10
1
10
1
10
10
10
10
1
10
2
10
1
10
10
1
10
10
10
10
10
10
1
1
10
1
10
10
10
10
10
1
1
10
10
10
1
10
10
10
1
1
1
10
10
1
10
10
1
10
10
10
10
1
1
1
10
10
10
1
1
10
10
10
2
10
10
10
1
10
10
10
10
10
1
10
10
10
10
1
1
10
10
1
10
10
1
10
1
10
1
1
10
1
10
10
1
10
1
1
2
1
1
10
10
10
10
1
1
10
1
1
10
10
10
10
10
10
1
10
10
1
1
10
10
1
1
1
10
10
10
1
1
1
10
10
10
1
10
10
10
10
10
10
1
10
1
10
10
10
1
10
10
1
10
10
1
10
10
10
1
10
10
1
10
10
1
10
10
2
10
10
1
1
10
1
10
1
1
1
10
1
10
10
1
10
1
1
1
10
10
10
10
1
1
10
10
10
1
1
1
10
10
10
10
10
10
10
10
1
1
1
1
10
1
10
10
1
10
10
10
10
10
1
1
10
1
1
10
1
10
10
1
10
1
10
10
10
1
1
1
10
1
10
10
1
10
10
10
1
1
10
10
10
10
10
1
10
10
1
10
10
1
10
10
10
10
10
10
10
1
10
10
10
1
10
1
10
1
10
10
10
10
10
1
1
10
1
1
10
1
10
10
10
10
10
1
10
10
10
1
1
1
10
10
10
1
1
10
10
1
10
1
10
1
10
10
1
1
1
10
10
10
10
1
10
1
1
10
10
10
10
1
1
1
10
10
1
10
10
1
5
10
10
10
10
10
1
10
1
10
1
10
10
10
1
1
1
1
10
10
1
10
10
1
10
1
10
10
10
10
10
10
10
10
10
1
10
1
1
10
1
10
10
10
1
1
10
10
10
10
1
10
10
10
1
10
10
10
1
1
1
1
1
10
10
10
10
10
1
1
10
10
1
1
1
10
2
10
10
10
1
10
1
1
1
10
10
10
1
10
10
1
1
10
1
10
1
10
10
1
10
10
2
10
10
10
10
10
10
1
1
1
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
1
1
10
1
1
10
10
1
1
2
1
10
10
10
1
10
10
1
1
1
10
10
1
1
1
10
10
10
10
10
10
10
10
10
1
10
10
1
10
1
10
10
10
10
10
1
10
10
1
10
1
10
1
1
1
10
2
1
1
1
1
10
10
10
10
1
10
1
10
1
10
10
1
1
1
10
10
10
1
10
1
10
10
10
10
10
1
10
1
1
10
10
1
1
2
10
1
10
1
1
1
10
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
1
10
10
1
10
10
10
1
1
10
10
10
10
1
10
1
1
10
10
10
1
10
10
1
1
10
10
2
10
10
10
10
1
1
10
1
1
10
10
1
1
1
10
10
1
10
1
10
1
10
1
10
1
10
10
10
10
1
1
1
10
1
10
10
1
10
1
10
10
1
10
10
10
10
10
1
1
1
1
1
10
1
10
1
10
10
10
10
10
10
10
1
10
1
1
1
1
10
1
1
1
10
10
10
10
10
1
1
10
1
10
1
9
1
10
1
10
10
10
1
10
10
1
10
10
10
1
10
10
1
1
10
10
10
10
10
10
1
10
10
1
1
10
10
10
10
10
1
10
1
10
10
10
10
10
1
10
1
1
1
10
10
10
1
10
1
1
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
1
10
1
1
1
10
10
10
1
1
10
10
1
10
1
10
10
1
10
10
10
10
10
10
1
1
1
10
10
10
1
10
10
10
1
10
1
10
10
1
1
1
10
10
10
10
10
10
10
1
10
10
5
1
10
10
10
1
10
10
10
1
10
10
10
10
10
1
10
10
1
10
1
1
1
1
1
10
10
10
10
10
1
10
1
10
1
1
10
10
10
10
10
1
10
1
1
1
1
10
10
1
1
1
10
1
10
10
10
1
10
10
10
1
1
10
1
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
1
10
10
1
1
1
5
10
10
1
10
1
1
10
10
1
10
10
10
10
10
1
1
10
10
1
10
10
10
10
1
10
10
1
10
10
10
10
10
10
10
1
10
10
1
10
10
1
10
10
10
10
1
1
10
10
10
10
10
1
1
10
1
10
2
10
10
10
10
10
10
10
1
1
10
10
1
1
10
1
10
10
10
10
10
10
10
10
2
10
10
10
1
10
10
10
10
10
10
10
1
1
1
1
1
1
10
1
10
10
1
1
1
10
1
1
1
10
1
10
1
10
1
10
1
1
1
10
10
10
1
10
1
10
1
10
1
10
10
10
1
10
10
1
10
1
10
1
1
10
1
10
1
1
10
10
1
1
10
1
10
10
10
10
10
10
10
1
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
1
10
1
10
1
1
1
10
10
10
1
1
10
10
10
10
10
10
1
1
10
1
1
1
10
10
1
10
10
1
10
10
10
1
10
10
10
10
10
10
10
10
1
1
10
1
10
1
10
10
10
10
10
10
10
1
1
10
10
10
10
10
10
1
10
1
10
2
1
1
1
10
1
1
10
10
10
10
10
10
10
1
10
1
1
10
10
1
10
10
10
10
10
10
10
1
1
10
10
10
10
1
10
10
10
1
10
1
10
1
1
10
10
1
10
10
10
10
10
1
1
10
10
10
10
1
10
10
1
1
10
10
10
10
1
1
10
1
10
5
1
1
10
1
1
1
1
1
10
2
1
10
1
10
1
10
1
1
10
10
1
1
1
10
1
10
1
10
10
10
1
10
10
10
10
10
1
10
1
10
10
10
1
1
10
10
10
10
10
1
1
1
1
10
1
1
10
1
10
1
10
10
10
1
10
10
1
10
10
1
1
10
10
10
10
10
10
1
1
10
1
10
10
1
1
10
10
1
10
10
10
1
1
10
10
1
1
10
10
10
1
10
1
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
1
10
10
10
10
10
1
1
10
1
1
1
1
1
10
10
10
10
1
1
10
1
10
10
1
10
10
1
1
1
10
10
10
10
10
1
10
1
10
10
10
1
10
10
10
1
1
10
10
10
10
10
10
1
10
10
10
10
10
10
10
1
10
1
10
10
1
1
10
10
10
10
10
10
10
1
10
10
10
10
10
1
1
10
10
1
1
10
10
10
10
10
1
1
1
10
10
10
10
1
10
10
1
1
1
10
10
1
1
1
1
10
10
10
1
10
10
10
1
1
10
10
10
10
10
10
1
1
10
1
1
10
1
10
10
10
1
10
10
1
1
10
1
10
10
10
10
1
10
1
10
1
1
1
10
10
10
1
1
10
1
1
10
10
10
10
1
10
10
1
1
10
1
1
1
10
1
1
1
1
1
1
10
10
10
10
10
10
1
2
10
10
10
10
10
10
1
10
1
10
10
10
1
10
1
10
1
1
10
10
1
1
10
10
1
10
10
10
10
1
1
10
1
1
1
10
10
1
10
10
1
10
1
1
10
10
1
10
1
10
1
10
10
10
10
10
1
1
1
1
1
1
10
10
10
10
1
1
10
10
10
10
10
10
10
1
10
10
10
1
1
1
1
1
10
10
10
1
10
10
10
1
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
1
1
1
1
1
2
10
1
10
10
1
1
1
1
10
10
10
1
10
1
1
1
10
1
10
1
10
10
1
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
1
10
10
10
10
10
10
10
10
1
1
1
1
10
1
10
1
1
10
10
1
10
1
1
10
10
10
1
10
10
1
1
10
10
10
10
10
1
1
10
10
10
10
10
10
1
1
10
1
10
1
10
1
2
10
10
10
10
1
1
10
10
10
1
10
10
1
10
1
1
1
1
10
2
10
1
10
1
10
10
10
10
1
10
1
10
1
1
1
10
10
10
1
10
10
10
10
1
10
10
10
10
10
1
1
1
10
10
10
1
10
1
10
10
1
1
2
1
10
1
10
10
10
10
10
10
10
1
10
1
1
10
2
10
10
10
10
1
10
10
10
10
10
10
10
10
1
10
1
10
10
10
1
1
1
1
10
10
1
10
1
10
10
1
1
10
10
10
10
1
10
1
1
10
10
10
10
10
10
10
10
1
10
10
10
10
10
1
1
10
10
10
10
10
1
1
10
1
10
10
10
10
10
1
10
10
10
1
1
10
10
10
10
10
10
1
1
10
1
10
10
10
1
10
1
10
1
10
10
10
10
1
10
1
10
10
10
10
10
1
2
10
10
10
10
10
1
10
10
1
10
1
10
10
1
10
10
1
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
10
1
10
10
1
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
1
1
1
10
1
10
10
10
10
1
10
1
10
10
10
10
10
10
1
1
10
10
10
1
1
10
10
10
10
1
10
1
10
10
1
10
5
1
5
1
1
1
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
1
1
1
10
1
1
10
10
10
10
10
1
1
10
10
1
1
1
10
10
2
1
10
10
1
10
1
10
1
10
10
10
1
10
1
10
10
10
10
5
10
10
1
10
10
1
10
10
10
1
10
1
10
10
1
1
10
10
10
10
10
10
1
1
10
1
10
10
1
1
10
10
1
10
10
1
1
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
1
10
10
10
1
1
10
10
1
10
10
10
10
10
10
10
10
10
10
1
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
1
10
10
1
10
2
10
1
1
10
10
1
1
1
10
1
10
10
1
10
10
1
10
1
10
10
5
10
10
10
1
10
10
1
10
1
1
1
10
10
10
1
10
10
10
1
10
10
1
10
10
1
10
1
1
1
1
1
10
10
1
1
10
10
10
10
1
10
10
10
1
10
10
10
1
1
10
1
1
10
10
10
10
10
10
10
10
10
10
10
1
1
1
1
1
10
10
1
1
1
1
1
10
10
1
10
10
10
10
1
1
10
10
10
1
1
10
1
10
10
10
1
10
10
1
10
10
1
10
10
10
10
10
10
10
10
1
1
10
10
10
1
10
1
5
10
1
10
10
10
10
10
10
10
10
1
10
1
10
10
1
10
10
10
10
10
10
1
1
10
1
1
1
10
10
10
10
1
1
10
10
10
10
10
10
1
10
1
1
10
10
10
1
1
10
10
1
10
10
10
1
1
10
10
10
1
1
1
10
10
1
1
10
10
1
1
1
1
1
1
10
10
10
1
10
10
10
10
1
1
10
1
1
10
1
10
10
10
10
1
10
10
1
1
10
10
10
1
10
10
1
2
10
1
10
10
1
10
10
10
10
1
10
10
10
10
10
10
1
10
10
1
10
10
10
1
10
1
10
1
10
10
10
10
1
10
10
1
10
1
1
1
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
1
10
1
1
1
1
10
10
1
1
10
1
10
10
10
10
1
10
1
1
1
1
10
1
1
1
10
10
10
10
10
1
1
1
10
10
10
10
1
10
2
1
10
10
1
1
10
10
10
1
10
10
1
1
1
10
10
1
1
10
10
10
1
10
1
10
10
10
10
10
1
1
1
10
10
1
10
10
10
1
10
10
1
1
10
10
10
1
1
1
10
10
10
10
10
1
1
10
10
1
10
10
1
10
10
10
10
10
1
10
1
1
10
1
10
10
10
1
10
10
1
1
10
10
1
1
1
10
10
1
1
1
10
1
10
1
1
10
1
10
1
1
1
10
10
1
10
10
1
10
10
1
10
1
10
10
1
10
1
1
1
1
10
10
1
10
10
1
10
10
1
1
10
1
1
10
10
10
10
1
1
10
1
1
10
10
1
10
10
1
1
1
1
1
10
1
10
1
1
10
10
10
10
1
1
10
1
10
10
10
10
10
1
1
1
10
1
1
10
10
1
1
10
1
1
1
10
10
1
10
1
1
1
1
1
1
10
1
10
1
10
1
10
1
1
1
10
10
10
10
1
1
1
1
1
1
1
10
10
1
1
10
1
10
10
1
10
1
10
10
10
1
10
10
1
10
1
1
1
10
1
10
10
1
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
1
10
10
1
10
10
1
10
10
1
10
10
10
10
10
1
1
1
1
1
10
10
1
1
5
10
10
1
1
1
10
10
10
10
1
10
1
1
10
1
10
1
1
1
10
1
10
10
10
10
10
1
10
1
10
10
1
1
1
10
1
10
1
1
10
10
10
10
10
1
10
10
10
10
1
10
10
1
10
10
10
10
1
10
1
1
1
10
1
1
1
10
1
1
10
1
1
10
1
1
1
1
1
1
1
10
1
1
10
10
1
1
10
10
1
1
10
1
1
1
1
1
1
1
1
10
10
1
1
10
10
1
1
10
10
10
10
1
1
1
10
1
1
1
1
1
1
1
1
10
1
1
1
10
10
1
1
1
10
10
1
10
10
10
1
10
10
1
1
10
1
1
10
10
10
10
1
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
1
1
10
10
1
1
10
10
10
10
1
1
10
10
10
1
1
1
10
10
10
1
1
1
10
10
1
10
10
10
1
10
10
10
10
10
10
10
1
1
1
10
10
1
10
10
10
1
10
10
1
1
1
10
1
10
10
1
1
1
10
1
1
1
10
1
10
10
1
10
10
1
10
10
1
1
10
1
10
10
10
10
10
10
10
10
1
1
10
10
1
1
1
1
1
1
1
10
10
1
10
10
10
1
1
1
1
1
10
10
1
1
10
1
10
10
10
10
1
1
10
10
10
1
1
1
10
1
10
1
1
1
10
10
10
10
1
1
10
1
1
1
1
10
10
10
10
10
1
10
10
1
1
10
10
1
1
10
10
10
10
10
10
10
1
1
1
1
1
1
10
10
1
1
10
10
1
10
10
10
1
10
10
1
10
10
1
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
1
1
10
10
10
10
10
1
10
10
10
10
1
10
10
1
10
10
1
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
1
1
10
10
1
10
1
10
10
1
1
10
1
10
10
10
10
1
10
10
10
10
1
1
10
10
10
10
1
10
10
10
1
1
10
10
1
10
1
1
10
1
1
10
10
10
1
10
10
10
10
10
1
1
10
10
10
1
1
10
1
10
10
10
1
1
10
1
1
10
10
10
10
10
1
10
10
1
10
1
1
10
5
1
10
10
10
1
10
1
1
10
10
5
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
1
10
10
10
10
10
1
1
10
10
10
10
10
1
10
10
10
10
1
1
1
10
10
10
10
10
1
1
1
1
1
10
10
1
10
10
1
10
10
1
1
1
1
1
1
10
1
1
10
1
1
1
1
10
10
10
1
1
10
1
1
1
1
10
10
1
1
1
10
1
10
10
10
10
1
1
1
1
10
1
10
1
10
1
10
1
10
10
10
10
1
10
1
1
10
1
1
1
10
1
1
1
1
1
10
1
10
1
10
10
10
1
2
1
1
10
10
1
10
1
1
1
10
10
1
10
1
1
1
10
1
10
10
10
10
10
1
1
10
1
10
10
1
10
10
10
10
10
1
10
1
10
1
1
2
1
1
10
1
1
1
10
10
1
10
10
1
10
10
1
1
10
10
10
10
10
10
10
1
1
1
10
1
10
10
10
1
10
10
10
10
10
1
1
10
10
10
10
10
10
10
10
10
10
10
1
10
10
1
10
1
10
10
1
10
1
10
10
10
10
2
10
10
10
10
1
10
1
1
1
10
10
1
10
10
10
1
1
1
1
10
10
1
10
10
10
10
1
1
1
1
10
10
10
1
10
10
10
10
1
1
10
10
1
10
10
10
1
10
10
10
10
10
10
1
1
1
10
1
10
10
1
10
10
1
1
1
1
10
10
10
1
1
1
2
10
1
10
1
9
10
10
10
1
1
1
10
10
10
1
1
10
1
1
1
5
1
1
1
10
1
1
1
1
10
1
1
1
10
10
1
1
10
10
10
1
1
10
1
10
10
10
10
10
10
1
1
10
1
1
1
10
10
1
10
10
10
10
1
10
10
1
10
10
1
10
1
10
10
2
1
1
2
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
2
10
10
10
1
10
1
10
10
10
10
1
10
10
10
10
10
10
10
1
10
10
10
1
1
10
10
1
1
10
10
1
10
10
1
1
1
10
10
10
10
1
10
10
1
10
1
1
10
10
10
10
1
10
10
10
10
1
10
1
10
10
1
1
10
3
10
10
10
1
1
1
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
1
10
10
1
10
10
10
1
10
10
10
10
10
1
1
10
1
1
10
10
1
10
10
1
1
10
1
1
10
10
10
10
1
10
10
10
1
10
1
1
1
10
10
1
1
10
10
1
10
1
1
1
10
10
1
1
1
1
10
1
1
10
1
10
10
10
10
10
10
10
10
1
10
10
10
1
1
10
10
1
10
1
10
1
10
1
10
10
10
10
1
10
1
10
1
10
10
10
10
10
10
1
1
1
1
10
1
1
10
10
1
10
10
1
10
1
1
10
10
10
1
10
1
1
1
10
1
10
10
10
1
1
1
1
1
10
10
10
1
10
1
1
1
10
1
10
1
1
10
10
10
10
10
1
1
1
1
10
10
1
10
1
1
10
10
10
1
10
10
1
10
10
10
1
10
10
10
10
10
10
2
2
10
10
1
10
10
10
1
10
1
10
10
2
1
10
1
10
10
10
1
1
1
1
10
10
1
1
5
10
10
10
10
1
10
1
1
10
10
10
10
10
10
1
1
10
1
10
10
1
10
1
1
1
10
10
10
10
1
1
10
10
10
1
10
10
1
10
1
10
10
10
1
10
1
10
10
10
1
10
1
10
10
10
10
10
10
1
1
1
10
1
10
1
10
1
10
10
10
10
10
1
10
10
10
10
1
1
1
10
10
10
10
10
1
1
10
1
10
1
1
10
10
10
2
1
10
1
1
10
10
10
10
1
10
10
10
10
1
10
1
10
10
1
1
10
1
10
1
1
10
10
1
10
10
10
10
10
1
1
1
10
10
10
10
1
10
10
1
10
10
10
1
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
1
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
1
1
10
1
10
10
10
10
10
10
1
10
10
1
10
10
10
1
10
10
10
1
10
1
10
10
10
10
10
1
10
10
10
1
10
10
10
1
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
1
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
1
1
10
10
10
10
10
10
10
10
10
10
10
1
1
10
10
1
1
10
1
10
10
10
1
10
10
1
1
2
10
10
10
1
10
1
10
10
1
10
10
10
10
10
10
1
10
1
1
1
10
1
1
10
1
1
10
10
10
1
10
10
10
1
10
10
1
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
1
1
1
10
1
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
1
10
10
1
10
10
10
10
10
1
10
1
10
10
10
10
10
1
10
1
10
1
1
10
10
1
1
1
10
10
1
1
1
1
1
1
1
1
10
10
1
1
10
2
1
1
10
1
10
10
1
1
1
5
2
1
1
10
1
1
10
10
10
1
1
10
1
1
1
1
10
1
1
10
10
10
1
1
1
1
10
1
1
1
1
1
10
10
10
1
10
10
10
10
10
1
1
10
10
1
1
10
1
1
10
2
10
1
1
10
1
10
1
10
1
1
10
10
10
1
10
10
10
1
10
10
1
10
1
1
10
1
1
10
1
1
1
1
1
10
10
1
1
1
10
10
10
10
1
10
10
1
1
10
10
10
1
10
10
1
10
1
1
10
1
10
10
10
1
10
10
10
10
10
1
1
10
10
10
1
10
10
10
1
10
10
10
1
10
10
10
10
1
1
1
10
2
1
1
1
10
1
10
1
10
10
10
10
1
10
1
10
10
1
1
1
10
1
10
10
10
10
10
1
1
2
2
10
10
10
1
2
1
10
10
10
1
10
1
10
10
10
5
10
10
1
10
10
10
1
10
1
1
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
1
1
10
10
1
1
10
1
10
10
10
10
5
1
10
1
10
1
10
10
1
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
1
10
10
10
10
10
1
1
1
10
10
10
10
1
1
1
1
1
10
10
1
10
1
10
1
5
2
10
10
10
10
1
2
1
10
1
1
1
10
1
1
2
1
10
1
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
1
10
1
2
1
10
10
10
1
10
1
1
10
10
10
10
10
10
10
10
10
10
10
1
1
1
10
1
10
10
10
1
10
1
10
10
1
10
10
1
1
10
10
10
10
10
10
10
10
1
10
1
10
10
10
2
1
1
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
1
1
1
10
10
10
10
10
10
10
1
10
1
10
1
10
10
10
10
10
10
10
2
2
1
10
1
1
1
1
10
10
1
10
1
10
10
10
10
1
10
1
10
1
10
10
5
5
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
1
10
10
10
10
10
1
1
1
1
10
10
1
1
1
10
10
10
10
10
1
1
1
1
1
10
1
10
1
1
10
10
1
1
10
10
1
10
1
1
10
1
10
10
10
10
10
10
1
10
10
1
10
1
1
10
10
10
1
1
10
10
10
10
10
10
10
1
1
10
1
10
1
10
1
1
1
10
10
10
10
10
1
1
1
1
10
1
1
10
1
10
10
1
1
10
10
1
9
10
10
10
1
10
10
10
1
1
1
10
1
10
1
10
10
10
1
10
10
2
10
10
1
10
2
1
2
2
2
1
10
1
10
10
10
10
5
9
10
1
10
2
1
1
10
10
10
10
1
10
10
1
10
10
1
1
10
5
1
10
10
10
10
10
10
10
1
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
1
1
1
10
10
1
10
1
1
10
1
10
10
10
10
10
10
1
10
10
10
10
10
1
1
1
10
2
10
1
10
1
1
1
1
1
10
10
1
1
1
10
1
1
10
10
10
10
1
10
1
1
10
10
10
10
1
10
10
10
10
10
7
10
10
1
10
10
10
1
10
10
10
10
10
10
2
10
10
1
10
10
2
2
10
10
10
10
1
10
10
10
1
10
10
10
10
1
1
10
10
1
1
10
10
1
1
10
10
10
10
1
10
10
10
10
10
10
1
10
10
1
10
10
10
10
9
1
10
10
10
10
10
10
1
10
10
10
2
10
10
1
10
10
10
10
10
10
1
1
1
1
10
10
10
1
10
1
1
10
1
10
10
1
10
10
1
10
1
10
1
10
10
1
10
2
1
10
1
1
1
10
10
10
10
1
1
1
1
1
10
10
10
10
1
10
10
10
1
2
1
10
10
10
10
10
1
1
1
1
10
10
1
1
1
1
1
1
1
10
1
1
10
10
10
10
10
1
10
1
1
1
10
10
1
10
10
10
10
1
1
10
10
1
1
10
10
1
1
1
10
10
10
10
10
10
10
1
1
10
10
10
10
10
1
10
10
10
10
10
10
1
10
1
1
1
10
10
10
1
1
10
10
10
1
10
10
10
10
1
10
10
10
10
10
10
1
10
10
1
10
10
10
10
10
10
10
1
10
10
10
1
10
10
1
1
10
10
1
10
1
1
10
10
10
1
1
10
1
10
1
10
10
10
2
10
10
10
10
1
10
10
1
10
10
1
10
10
10
5
1
10
1
10
10
10
1
10
1
10
10
10
1
10
1
1
1
10
10
10
1
5
1
10
10
10
1
1
10
10
10
1
1
10
10
10
1
1
1
1
1
10
10
10
10
10
10
1
1
1
10
10
10
10
1
10
10
10
10
1
10
1
10
10
1
10
10
1
1
10
1
2
10
10
10
10
1
10
10
10
10
1
10
10
10
10
10
10
1
1
10
10
10
10
10
1
1
10
1
10
10
1
10
10
10
1
1
10
10
10
1
10
10
1
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
1
10
1
10
10
10
10
10
10
10
1
1
1
10
1
1
1
10
1
1
10
1
1
1
10
10
1
1
10
1
1
1
10
1
1
10
1
1
10
10
10
1
10
10
1
10
10
10
2
10
10
2
10
10
1
10
10
10
1
1
10
10
1
10
1
1
10
10
10
1
1
1
10
10
10
10
10
10
10
1
1
10
1
10
10
10
1
10
10
1
10
1
1
10
10
10
10
10
10
1
10
1
10
10
1
10
1
1
10
10
10
10
10
1
1
10
10
1
10
10
10
10
1
1
10
10
10
10
1
10
10
2
1
10
10
1
10
10
10
10
10
10
10
10
10
1
10
10
1
1
1
10
9
10
1
10
1
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
1
1
10
1
1
1
1
10
10
1
10
10
10
10
1
1
10
5
10
10
10
10
10
1
1
10
1
1
1
10
10
10
1
1
10
10
10
10
1
1
10
10
10
10
1
10
10
10
1
2
2
1
10
5
5
1
10
1
1
10
10
1
1
10
2
10
1
1
10
10
1
10
2
10
1
10
10
10
10
10
10
10
1
1
1
1
1
1
10
1
10
10
1
1
1
10
1
1
10
1
10
1
1
1
1
1
10
1
1
10
10
1
1
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
2
10
10
1
1
1
1
10
10
10
10
10
1
1
10
10
10
1
10
10
1
10
10
10
10
10
10
10
10
1
10
10
10
1
10
2
10
10
1
10
1
10
10
1
1
10
10
10
10
10
10
1
10
1
1
1
1
10
10
10
1
1
10
10
10
10
10
1
10
1
10
1
1
10
10
1
10
10
10
10
1
5
10
1
10
1
10
1
1
10
10
10
1
1
1
1
10
1
10
1
10
10
10
1
1
10
10
10
10
1
10
1
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
1
10
10
1
10
10
10
10
10
10
1
10
10
10
10
10
1
1
10
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
2
10
10
10
10
10
1
10
10
10
10
1
10
10
1
10
10
10
10
10
10
10
10
1
1
10
10
10
10
10
10
1
10
10
10
10
10
1
10
10
1
1
10
10
10
10
10
10
1
10
10
10
1
10
1
10
1
10
10
1
10
10
10
1
10
10
1
10
10
10
10
10
1
1
10
10
1
10
10
10
10
1
10
10
10
10
10
1
1
10
1
1
1
10
10
10
1
2
10
10
10
1
10
10
10
10
10
10
1
1
1
10
10
10
10
1
10
10
10
10
1
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
1
10
10
1
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
1
10
10
10
1
1
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
1
1
10
10
10
1
10
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
1
10
10
10
10
10
10
10
1
1
10
10
10
10
10
10
1
10
10
1
10
10
10
10
10
1
1
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
10
10
10
10
10
1
1
10
10
10
10
1
10
10
1
10
10
10
10
1
10
10
10
10
10
1
10
10
10
1
10
10
10
10
10
10
10
10
10
10
1
1
10
10
1
10
10
10
10
10
10
10
1
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
1
10
10
10
10
1
10
10
10
10
1
1
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
1
10
10
10
1
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
10
1
10
10
1
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
1
10
10
1
10
1
10
10
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
1
10
10
10
10
10
10
1
10
1
10
1
10
10
10
1
10
1
10
10
1
1
10
1
10
10
10
10
10
10
10
10
10
2
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
1
10
10
1
1
10
10
1
10
1
1
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
2
10
1
1
10
10
10
10
10
1
10
10
10
1
10
10
1
10
10
10
10
10
1
10
1
10
10
10
10
1
10
10
10
2
10
10
10
10
1
10
10
10
1
10
10
10
1
10
1
10
10
1
1
10
10
10
1
10
1
10
1
10
9
10
10
10
10
1
10
1
10
10
1
10
10
1
10
10
10
10
10
10
10
10
2
10
1
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
1
1
1
10
10
10
10
10
10
10
10
1
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
1
10
1
10
1
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
1
1
10
10
10
10
10
1
1
1
10
10
10
10
10
1
10
10
10
1
1
10
1
10
1
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
1
1
10
10
10
1
10
10
1
10
1
10
10
10
10
10
10
10
10
10
1
1
10
10
1
1
10
10
1
10
1
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
1
1
10
10
10
1
10
10
10
10
10
10
10
10
10
1
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
2
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
1
10
10
10
1
1
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
2
1
1
1
10
10
10
10
10
10
10
10
10
10
10
1
1
10
10
10
10
10
1
1
10
1
1
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
2
10
10
10
1
10
10
10
10
10
1
10
1
10
10
1
1
1
1
10
10
10
10
10
10
1
1
10
10
10
10
10
10
10
1
10
10
1
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
1
10
1
1
10
1
10
10
10
10
10
10
1
10
10
2
10
10
10
1
10
1
10
10
10
1
1
10
10
10
10
10
1
10
10
1
10
10
1
10
1
10
10
10
1
10
1
10
1
10
10
10
10
1
10
10
10
1
10
1
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
1
10
10
10
10
10
10
1
1
10
10
1
2
10
10
10
1
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
1
1
10
1
10
10
10
1
1
10
10
1
10
10
10
10
10
10
10
10
1
1
1
10
1
10
10
10
10
1
10
1
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
1
1
1
10
1
2
10
10
1
10
1
10
10
10
10
10
10
1
10
1
10
10
1
10
1
10
10
10
1
2
1
10
1
10
1
10
10
1
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
2
1
10
10
1
10
10
10
10
10
1
3
10
10
1
10
1
10
1
10
10
10
1
10
10
10
10
10
10
10
10
1
10
2
1
10
10
1
10
1
10
10
10
10
1
10
10
2
10
10
10
10
1
10
10
10
1
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
1
1
10
10
10
1
10
1
10
10
2
10
10
10
10
10
10
10
10
10
10
1
10
2
10
10
1
10
2
10
10
10
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
1
1
10
10
1
10
1
10
1
10
10
10
1
10
10
1
10
10
10
1
10
1
10
10
10
10
10
10
10
1
10
10
10
10
1
10
1
1
10
1
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
1
10
10
1
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
2
10
2
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
2
10
1
10
1
10
1
10
2
1
1
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
1
10
10
10
1
10
10
10
10
10
10
10
9
10
10
2
10
10
10
1
10
1
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
1
1
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
2
10
2
1
10
1
1
10
1
10
10
1
10
10
10
10
1
10
10
10
1
1
10
2
10
10
10
10
10
10
10
1
10
10
10
10
1
10
10
1
2
10
10
10
10
1
10
10
1
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
1
10
1
10
1
10
10
1
10
10
1
10
10
10
1
10
10
10
10
1
1
1
1
1
1
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
1
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
1
1
10
1
10
1
10
10
10
10
1
1
10
10
10
10
10
1
10
1
10
10
10
10
1
10
10
10
1
10
1
10
10
10
10
10
10
1
1
10
10
10
1
10
10
10
1
9
10
1
1
1
10
10
10
10
10
10
10
10
10
1
10
10
1
10
10
10
10
10
1
10
1
1
1
1
1
1
10
1
1
1
1
1
10
1
10
2
10
10
10
10
1
10
10
10
1
10
10
10
10
10
1
10
1
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
1
10
10
10
10
10
10
10
2
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
1
1
1
10
10
10
10
10
10
10
1
10
10
1
10
1
10
10
1
10
10
10
10
10
10
10
10
10
1
10
1
1
1
10
10
10
10
10
10
1
10
10
10
10
10
10
1
10
10
10
10
10
10
10
1
2
10
2
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
2
10
1
1
10
10
10
10
10
10
10
10
10
10
1
1
1
10
10
10
1
10
10
10
10
10
1
10
1
10
1
10
10
1
10
10
10
10
10
10
10
1
1
10
10
1
1
10
10
10
10
1
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
1
10
10
10
1
10
1
10
1
10
1
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
1
1
1
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
1
1
10
10
10
10
10
1
1
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
1
10
1
1
10
10
1
10
10
10
10
10
1
10
10
1
10
1
10
10
10
10
10
1
10
10
10
10
1
10
2
10
10
1
10
1
1
10
10
1
10
10
10
10
1
1
1
10
10
10
10
1
2
10
10
10
10
1
10
10
10
1
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
2
1
10
10
10
10
10
10
10
10
10
10
10
10
10
1
1
1
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
2
1
1
10
10
10
10
10
1
10
1
10
1
10
10
10
10
1
10
1
1
10
10
10
10
10
1
10
1
10
10
1
1
1
1
1
10
10
10
10
1
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
2
10
10
10
1
10
1
10
10
10
10
10
1
1
10
10
10
10
10
10
10
10
1
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
1
1
10
10
10
10
10
10
10
10
10
2
10
10
10
10
10
10
1
10
10
10
1
1
10
10
10
10
10
10
1
10
10
10
10
10
10
10
1
10
10
10
10
1
10
10
10
1
10
10
10
10
10
10
10
2
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
1
10
10
1
10
10
1
1
10
1
10
1
10
1
10
1
10
10
1
10
10
10
10
10
10
1
1
10
1
1
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
1
1
10
1
10
1
10
10
10
10
1
10
1
10
1
10
10
1
1
10
10
10
10
10
1
1
10
10
10
1
1
1
10
10
10
10
10
2
1
10
1
1
1
10
10
10
10
1
1
10
1
10
10
10
1
1
10
1
1
10
1
10
1
1
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
1
1
10
1
10
10
10
1
1
1
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
1
10
10
10
10
10
10
10
1
10
2
1
1
10
10
10
10
10
10
1
1
1
1
10
10
1
1
10
10
10
10
1
10
10
10
10
1
2
10
10
1
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
1
1
10
10
10
10
1
10
10
10
10
1
10
10
10
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
1
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
10
10
10
1
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
1
1
10
10
10
10
10
1
10
1
1
10
10
10
10
10
10
10
10
1
10
10
10
10
10
1
1
1
1
1
1
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
1
1
1
10
10
10
10
10
1
1
5
1
10
10
10
10
10
1
10
1
1
10
10
1
10
10
10
10
10
1
1
10
10
10
10
10
10
10
10
10
10
1
1
10
10
1
1
10
10
10
10
10
3
10
1
1
10
10
10
1
1
10
1
10
10
10
10
10
1
1
10
1
1
1
1
10
10
1
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
1
1
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
1
10
10
1
10
1
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
1
10
1
10
10
1
10
10
10
10
10
10
1
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
1
10
10
1
10
10
10
10
10
10
10
10
10
1
10
10
1
10
10
1
10
10
10
10
10
10
10
10
10
10
10
1
1
10
10
1
10
1
10
10
1
10
10
10
1
10
10
10
10
1
10
10
1
10
1
10
10
1
10
10
10
10
10
10
10
10
2
10
1
10
10
10
10
10
10
1
10
10
10
2
10
10
10
10
1
1
10
1
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
1
1
10
10
10
10
10
10
10
10
10
1
1
10
10
1
10
10
10
10
10
10
1
10
1
10
10
1
10
10
1
10
10
10
10
10
10
10
10
10
1
10
10
10
1
10
10
1
10
10
10
10
10
1
10
10
1
1
10
10
1
10
1
1
10
1
10
10
10
1
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
1
10
10
1
10
10
10
10
10
1
1
10
10
10
10
10
10
10
1
10
10
1
1
1
1
1
10
10
1
10
1
10
10
10
1
10
10
1
10
1
1
10
2
1
10
10
1
10
10
10
1
1
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
1
10
10
10
10
10
10
10
10
10
10
10
2
2
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
1
10
1
10
10
10
1
10
1
10
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
1
10
10
10
10
10
10
10
10
10
1
10
10
10
1
10
10
1
10
10
10
10
2
1
10
1
10
10
10
10
10
2
1
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
1
10
1
1
10
1
10
10
10
10
10
1
10
10
1
10
1
10
1
10
10
10
7
10
10
10
10
10
10
3
1
10
10
10
10
10
1
10
10
10
10
10
10
10
1
10
10
10
10
1
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
1
1
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
1
10
10
10
1
10
1
1
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
1
1
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
1
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
1
1
1
10
2
1
10
1
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
1
10
10
10
1
10
10
2
10
10
10
10
1
1
1
10
10
10
10
1
10
10
10
10
1
1
9
10
10
10
1
10
10
10
10
10
1
1
10
10
1
10
10
10
10
10
10
1
1
10
10
10
1
10
1
1
1
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
2
10
10
1
1
10
1
10
10
10
10
10
1
1
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
1
1
1
10
10
10
10
10
1
1
1
10
10
10
10
1
10
1
1
10
10
1
10
1
10
10
1
1
1
1
1
1
1
10
2
10
1
10
10
10
10
10
1
10
1
10
1
10
10
10
1
10
1
10
10
10
10
10
10
10
1
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
1
2
10
10
10
10
10
1
10
10
10
10
10
10
10
10
1
1
1
1
1
10
10
10
1
10
1
1
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
1
10
10
10
10
1
10
10
1
1
10
1
10
10
10
10
1
1
10
1
10
1
1
10
10
10
10
10
1
10
10
10
10
10
10
10
1
10
1
10
1
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
1
1
10
1
1
10
1
1
1
1
2
1
2
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
1
10
10
10
10
10
10
10
1
10
10
10
10
1
1
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
1
1
10
10
10
10
1
10
10
10
1
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
1
10
10
10
1
10
10
1
1
10
10
10
10
10
1
10
10
10
10
10
10
1
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
1
10
10
1
10
10
10
10
10
10
10
10
10
1
1
10
10
10
10
10
1
10
10
10
10
10
2
10
10
10
10
10
10
10
10
1
1
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
1
1
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
1
10
1
10
10
1
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
2
10
1
10
10
10
1
1
1
1
10
10
10
10
10
10
1
1
10
1
10
10
1
1
10
1
1
10
10
10
1
1
2
1
10
1
10
1
10
10
10
10
10
1
10
1
10
10
1
10
1
1
10
1
10
10
10
10
1
10
10
1
10
10
10
10
1
10
10
10
10
2
10
10
10
10
10
10
1
10
10
1
10
10
1
10
10
10
10
1
10
10
1
10
10
10
1
1
2
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
1
10
1
10
1
10
10
10
10
1
10
10
10
10
10
10
10
10
1
10
10
10
1
10
10
1
10
1
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
1
1
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
1
1
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
1
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
1
10
1
10
10
1
10
10
1
10
10
1
10
10
10
10
1
10
10
10
10
10
1
1
10
10
1
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
1
1
10
10
10
1
10
10
10
10
10
1
10
10
10
10
2
1
10
10
1
10
1
10
2
10
10
10
10
10
10
1
10
10
10
1
10
1
10
10
10
10
10
10
10
10
1
10
1
10
10
1
10
10
1
10
1
10
10
10
10
1
10
1
10
10
10
1
1
1
1
1
1
10
10
10
1
10
1
10
2
1
1
1
1
10
10
1
10
2
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
1
10
10
10
10
1
10
10
10
10
10
2
10
10
10
1
10
10
10
10
10
1
10
1
1
10
10
1
10
10
1
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
1
10
1
10
10
10
1
1
10
10
1
10
1
1
10
10
10
10
10
1
10
1
10
1
10
1
10
1
10
1
1
10
10
10
1
10
10
1
10
10
10
1
1
10
1
2
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
1
1
10
10
5
10
10
1
10
10
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
1
2
10
10
10
1
10
10
1
10
10
10
10
10
5
1
1
1
10
1
10
1
10
10
10
1
10
10
1
10
1
10
10
1
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
1
1
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
2
10
10
10
2
10
10
1
1
10
10
10
10
10
10
1
10
1
2
1
1
10
1
10
10
10
1
10
10
1
1
10
10
10
9
10
1
1
10
10
10
1
10
10
1
1
10
10
10
10
10
1
10
1
10
10
1
10
10
1
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
1
10
1
10
10
10
10
1
10
1
1
1
10
10
10
1
1
10
1
10
10
1
1
1
10
1
10
10
10
10
1
2
1
1
10
1
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
10
1
1
10
1
10
10
10
10
1
10
10
10
10
1
10
10
10
10
10
10
10
10
1
1
10
10
1
10
10
10
10
10
1
10
10
1
10
10
10
1
10
1
10
1
10
10
1
10
1
10
10
1
10
10
1
10
10
10
1
10
10
10
10
10
10
10
10
1
10
10
1
10
1
1
1
10
10
1
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
1
1
10
10
10
10
10
10
1
10
10
10
10
1
10
1
1
10
1
10
10
1
10
10
10
10
10
10
10
10
1
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
1
10
10
1
10
1
1
10
1
10
1
10
1
10
10
10
10
10
1
10
10
10
1
1
10
10
10
1
10
10
1
1
1
1
10
1
1
10
10
1
10
10
10
10
10
10
10
10
10
1
1
10
10
10
1
2
10
10
10
1
1
10
1
2
1
10
1
10
1
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
9
10
10
10
1
10
1
1
1
10
1
10
1
10
10
10
10
10
1
1
1
10
1
10
10
1
1
10
10
10
1
1
1
10
1
1
1
10
1
1
2
10
10
10
5
1
2
10
10
10
10
10
10
1
10
10
10
1
10
1
10
10
1
10
10
1
10
2
1
10
10
1
1
1
10
10
1
10
10
10
10
10
1
10
1
10
10
10
10
10
1
10
10
1
10
1
1
10
10
10
10
10
1
10
1
10
10
1
10
10
10
10
1
1
10
10
10
10
2
1
10
1
10
10
1
10
2
10
10
2
10
10
10
10
1
10
1
10
10
10
10
1
10
10
10
1
10
1
10
10
10
10
1
1
1
10
10
1
10
10
10
1
10
1
1
10
10
10
1
10
1
1
10
10
10
10
1
10
10
1
10
1
10
10
10
1
1
10
10
1
10
10
1
10
10
10
1
10
1
10
10
1
10
10
10
10
10
10
10
10
10
10
1
10
10
10
1
10
1
1
1
10
1
10
1
10
10
1
10
10
10
2
10
10
2
10
10
1
10
1
1
10
10
1
10
1
1
10
1
10
1
1
10
10
10
10
10
10
1
10
10
10
1
10
1
10
1
10
10
1
10
1
10
1
10
10
10
10
1
10
10
10
10
10
10
1
10
1
1
1
1
1
1
1
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
1
10
1
10
1
10
10
2
10
2
1
1
10
10
10
10
10
10
10
10
10
10
10
2
10
1
10
1
10
1
10
10
1
1
10
10
1
1
10
10
10
1
1
10
10
10
10
1
10
10
10
1
10
10
10
1
2
1
1
1
10
10
1
10
10
1
1
10
1
10
10
10
10
10
1
1
10
10
10
10
1
10
10
10
10
10
10
1
10
1
10
10
10
10
1
10
10
1
1
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
2
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
1
1
10
10
1
10
10
10
10
10
10
10
10
10
10
10
1
1
1
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
1
10
1
1
10
1
10
1
10
10
1
10
10
10
10
10
10
10
1
10
1
10
10
10
10
1
1
1
10
10
10
10
1
10
10
1
10
1
1
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
1
1
1
10
1
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
2
10
10
10
10
10
10
1
1
1
1
1
1
1
1
10
1
1
10
10
10
10
10
1
1
1
1
1
10
10
1
1
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
1
1
10
1
1
1
10
1
1
10
1
10
1
1
10
10
1
10
10
10
10
10
10
10
1
10
10
1
10
10
10
10
10
1
1
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
1
10
10
10
2
10
10
10
10
10
1
1
10
1
10
10
10
1
10
10
10
10
1
10
10
10
10
10
1
1
1
1
1
1
10
10
10
10
10
10
1
10
1
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
1
10
10
10
1
10
1
10
1
1
10
10
1
2
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
1
10
10
10
1
10
10
1
1
10
10
1
10
1
10
10
10
1
1
10
10
10
10
10
1
10
1
2
1
1
2
10
10
10
10
10
10
10
1
1
1
10
1
10
10
10
10
1
10
10
10
1
10
1
10
10
10
10
10
10
10
10
1
1
1
10
10
10
10
10
10
10
1
10
1
1
10
10
10
2
1
10
1
1
10
10
10
10
10
1
1
10
10
1
10
10
10
1
1
1
10
1
10
10
10
10
10
10
1
1
1
10
1
10
1
10
1
10
10
10
10
1
10
1
10
10
1
1
10
10
10
1
1
10
1
1
1
10
2
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
1
1
1
10
10
10
10
10
1
10
1
1
10
10
1
1
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
1
10
10
10
1
1
10
1
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
1
10
10
1
1
10
10
10
10
10
10
10
10
10
10
10
10
10
1
1
10
10
10
10
10
1
2
10
10
10
1
10
1
10
10
10
10
10
10
1
1
10
10
1
10
10
10
10
10
10
1
1
1
10
10
10
10
10
10
10
1
10
10
10
10
1
1
10
1
1
10
10
1
10
10
10
10
10
10
10
1
10
1
10
1
10
10
1
1
1
10
1
1
10
10
10
10
1
10
10
1
10
10
1
10
10
10
10
10
1
10
10
1
10
10
10
10
10
10
10
10
10
1
1
10
1
10
1
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
1
1
10
10
1
10
1
10
1
1
1
1
10
1
10
10
10
10
1
10
10
1
10
1
10
1
10
1
10
1
2
10
10
1
10
10
10
10
10
2
1
2
1
10
1
10
10
10
1
10
10
10
1
1
1
10
1
10
10
10
10
1
10
1
10
1
10
10
10
10
1
10
1
1
1
1
10
1
10
10
10
10
10
10
1
1
1
10
10
10
10
1
1
10
10
10
1
10
1
1
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
1
10
10
1
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
1
10
10
1
10
10
1
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
1
10
1
1
10
10
10
10
1
10
1
10
10
1
1
10
10
10
1
10
1
10
1
10
1
10
10
10
10
1
1
10
10
10
10
10
1
1
10
1
10
10
10
1
10
1
1
10
10
10
1
10
10
10
1
10
10
1
10
10
10
10
10
10
1
1
10
10
10
10
1
10
1
10
1
1
10
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
1
10
1
10
10
10
1
10
10
10
1
10
10
1
10
10
10
10
10
1
10
10
1
10
10
10
10
10
10
2
1
10
10
10
10
10
10
1
1
1
10
10
1
10
10
10
10
2
10
10
1
10
10
1
10
10
10
1
1
10
1
1
10
1
10
10
10
1
1
1
10
1
1
10
1
10
1
10
1
10
10
10
10
10
1
10
1
10
1
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
1
2
10
10
10
10
10
1
2
10
10
1
1
10
1
10
1
1
10
1
1
10
10
1
10
1
10
10
1
10
3
10
10
10
10
10
10
10
10
10
10
10
1
1
1
1
10
1
1
10
1
1
10
10
1
10
1
10
1
10
1
10
10
10
1
10
1
10
10
1
1
1
10
1
10
10
1
10
1
10
10
1
10
10
10
10
1
10
10
10
10
1
10
1
10
10
10
10
10
1
10
10
10
1
10
10
1
10
1
10
1
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
1
10
10
1
10
10
10
10
10
10
10
10
2
10
10
1
1
10
10
1
10
10
1
10
10
10
10
10
10
1
10
10
10
10
10
10
1
10
10
1
10
10
10
10
10
10
10
10
10
1
10
10
1
10
10
10
10
1
10
10
10
10
1
10
10
10
10
10
10
10
10
1
1
10
1
10
10
10
10
10
1
1
10
10
1
10
10
1
1
10
1
10
10
10
10
10
1
10
10
10
10
1
1
10
1
1
1
10
1
10
10
10
10
10
10
10
1
10
10
10
10
1
1
10
10
1
1
1
2
10
1
10
10
10
10
1
10
10
10
10
10
1
10
1
10
10
10
1
10
10
1
1
10
1
10
1
1
10
10
1
1
10
1
1
10
1
10
1
10
1
10
10
10
1
10
1
10
1
10
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
10
10
10
1
10
2
10
10
10
10
10
10
1
1
1
10
10
10
1
1
10
1
10
10
10
10
10
10
1
1
1
1
10
1
1
10
10
10
10
10
10
10
10
1
1
1
10
1
10
10
1
1
1
10
10
1
10
1
10
10
10
1
1
10
1
10
1
10
10
10
10
10
10
1
10
3
10
1
10
1
10
10
1
10
10
1
10
10
10
10
10
10
10
10
1
10
1
10
1
10
10
10
10
1
10
10
10
10
10
1
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
1
1
10
10
10
10
10
10
1
1
10
10
1
10
1
1
10
1
10
10
10
10
1
1
1
10
10
1
1
10
10
10
10
1
10
10
10
1
10
1
1
1
10
10
10
1
10
1
10
1
10
1
1
10
10
10
10
10
10
10
10
1
1
2
1
10
1
10
10
10
10
1
10
10
1
10
1
10
10
2
10
2
10
1
10
10
1
10
10
1
10
1
1
10
10
10
10
1
10
1
1
10
10
10
1
10
1
10
10
10
10
10
1
10
1
10
10
1
2
10
10
1
10
10
1
10
10
10
1
10
10
1
10
10
10
2
1
1
1
1
10
1
10
10
10
10
10
10
10
10
10
1
10
10
10
10
1
10
1
10
1
10
1
2
10
10
10
1
10
10
10
10
10
10
10
10
10
1
10
10
10
10
1
10
10
1
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
1
1
10
1
1
1
1
10
10
10
1
10
10
10
10
10
1
10
1
10
10
1
1
1
10
10
10
10
1
1
1
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
1
10
10
1
10
1
1
1
10
10
1
10
10
10
10
10
1
10
1
1
10
10
10
10
10
10
10
1
1
1
1
1
10
10
10
10
1
10
10
10
10
10
1
10
10
1
1
10
1
10
1
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
1
10
1
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
1
10
10
10
10
10
10
1
1
10
1
1
1
10
1
10
10
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
1
10
10
1
10
1
10
1
1
10
1
10
1
10
1
10
10
10
10
10
10
10
10
1
10
10
1
1
2
1
10
10
10
10
1
10
10
10
10
10
10
10
10
1
1
10
10
10
1
1
10
10
10
10
10
10
1
10
10
10
10
10
10
1
1
10
10
1
1
10
10
10
10
1
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
1
10
1
10
1
10
10
1
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
1
10
1
1
1
1
1
10
10
1
10
1
1
10
1
1
10
10
10
10
10
1
1
1
10
10
10
10
10
1
10
10
1
10
1
10
10
10
1
1
10
10
10
10
10
10
10
1
1
1
10
10
10
10
10
10
10
10
1
1
10
10
10
10
1
1
10
1
1
1
10
1
10
1
10
10
1
1
1
10
10
10
1
1
1
1
10
10
10
10
1
10
10
10
10
1
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
1
10
1
10
10
10
10
1
1
1
10
10
1
10
10
10
1
10
1
10
10
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
1
10
1
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
1
10
10
1
10
1
1
10
1
10
10
10
1
10
10
1
10
10
10
10
10
10
10
1
10
10
10
10
1
10
1
1
10
1
10
1
1
1
10
1
1
10
10
1
10
10
1
10
10
1
10
10
10
1
1
10
1
1
10
10
10
10
10
10
10
1
10
1
10
1
1
10
1
10
10
10
10
1
10
1
10
1
1
1
10
1
10
10
1
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
1
10
10
1
1
1
10
10
10
10
10
10
10
1
10
10
1
10
1
10
10
10
10
10
10
1
10
10
1
10
10
2
1
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
1
10
10
10
1
10
10
1
10
1
10
1
10
10
1
10
1
10
10
1
10
1
10
10
10
10
1
1
10
10
1
10
1
1
10
10
10
1
1
1
1
10
1
10
1
10
10
1
1
10
1
1
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
1
10
10
10
1
1
10
1
10
10
10
10
10
1
1
1
1
10
10
10
10
10
1
1
10
10
2
1
2
10
10
1
10
1
10
1
10
10
10
10
10
10
10
1
10
10
1
10
10
10
10
10
10
10
1
10
1
1
1
1
1
10
1
1
1
10
1
10
10
1
1
1
1
1
1
10
10
1
1
10
10
10
10
1
10
10
1
10
10
1
10
10
1
10
1
1
10
10
10
2
1
10
10
10
10
10
10
10
10
1
2
1
10
10
10
10
1
1
10
10
2
10
10
10
10
10
1
10
1
10
1
10
10
10
10
1
10
10
1
10
10
10
10
10
1
10
10
10
1
1
10
1
10
10
1
10
10
10
1
10
1
10
10
10
1
10
1
1
10
10
10
10
1
1
1
1
1
1
10
10
1
10
1
10
10
10
10
1
1
10
10
1
10
1
10
10
10
10
1
10
1
10
1
10
10
1
1
10
1
10
10
1
10
10
10
1
1
1
10
10
1
10
10
10
5
1
10
1
1
1
10
10
10
1
1
10
10
1
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
3
1
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
1
10
1
10
10
10
10
1
1
1
1
10
10
1
1
10
1
10
10
10
10
1
1
1
10
10
10
10
10
10
10
1
10
10
10
10
1
10
10
2
1
1
1
1
1
10
10
10
1
10
1
10
10
1
10
10
10
10
10
1
1
10
10
1
10
1
1
1
10
10
10
1
10
1
10
10
1
10
1
10
1
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
1
10
1
1
10
10
10
10
10
10
1
10
10
2
10
2
1
1
1
10
10
10
10
10
10
10
1
10
1
10
1
1
10
10
10
10
10
1
10
10
10
10
10
1
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
1
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
1
10
1
1
10
1
10
10
10
10
10
10
10
10
1
10
10
10
10
1
10
10
1
1
10
10
10
10
1
10
1
10
10
10
1
1
1
2
10
1
10
1
1
1
10
1
10
1
10
10
10
10
10
10
10
10
10
1
1
1
10
1
1
10
1
10
10
1
1
10
1
10
1
1
10
10
10
1
10
1
10
10
10
10
1
1
1
10
1
1
10
10
10
10
10
10
1
10
10
10
10
10
10
1
10
10
1
10
10
10
1
1
10
1
10
10
10
10
1
10
2
10
1
1
1
10
10
10
10
1
10
1
10
10
1
1
10
10
1
10
2
10
1
10
10
10
10
1
10
10
10
10
2
10
10
1
1
1
10
10
10
10
1
10
1
1
10
1
1
10
10
10
1
10
1
10
10
1
10
10
10
1
1
10
10
10
1
1
10
1
10
1
1
10
10
10
1
10
10
10
10
10
10
10
1
1
1
10
1
1
10
10
2
10
10
1
10
1
2
1
10
10
10
1
10
1
10
1
10
10
10
10
10
1
1
1
10
1
1
10
10
10
10
1
10
10
1
10
10
10
10
1
10
10
10
10
10
10
10
10
10
1
1
10
10
10
10
10
10
1
1
1
1
1
1
1
1
10
10
1
1
10
10
10
1
10
1
1
1
1
10
1
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
1
1
1
1
1
10
1
1
2
1
10
10
10
10
1
10
10
10
1
10
10
10
10
10
10
1
1
10
1
10
10
10
10
10
1
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
1
10
10
10
10
10
1
10
1
10
1
10
10
1
10
1
1
1
10
1
10
10
10
1
10
10
10
10
10
10
1
1
10
10
10
10
10
10
10
10
10
1
1
10
10
1
10
10
10
1
10
10
10
10
1
1
10
10
10
1
1
10
10
1
1
1
10
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
1
1
10
10
10
1
1
1
1
10
1
10
10
10
10
10
10
1
10
10
10
10
1
10
1
10
1
10
10
1
10
10
10
10
10
10
10
10
1
10
1
10
10
1
10
1
1
10
10
1
10
1
10
1
10
10
10
10
10
10
10
1
10
1
10
1
10
10
10
1
1
10
10
10
10
1
10
10
1
1
1
10
10
1
10
1
1
10
1
10
10
1
1
10
1
10
10
1
10
10
10
10
10
10
10
1
10
1
10
10
1
1
1
10
10
1
10
1
10
10
10
10
10
10
1
10
10
10
10
1
10
1
10
1
10
10
10
10
10
1
10
10
10
10
1
1
1
1
1
10
2
10
10
10
10
10
10
10
10
10
1
1
10
10
10
10
10
10
1
1
1
10
1
1
1
10
1
1
10
10
10
10
10
10
10
10
1
10
10
10
1
10
1
10
10
10
1
1
10
10
10
1
10
10
1
10
10
10
10
10
1
1
10
1
10
1
10
1
10
10
1
10
10
10
1
10
1
10
10
10
1
10
1
1
1
1
10
1
10
1
10
1
10
1
1
1
10
10
10
1
10
10
10
10
10
10
10
1
10
10
10
1
10
1
10
1
10
10
1
10
1
10
1
10
10
10
1
10
10
10
1
1
10
10
10
1
10
1
1
1
10
10
10
1
1
1
1
1
10
10
10
10
1
10
1
1
10
10
10
10
10
10
1
1
1
10
1
10
10
10
1
10
1
10
1
10
1
10
1
10
1
1
10
1
10
10
10
10
1
1
10
10
10
10
10
2
1
1
10
1
10
10
1
10
10
10
10
10
10
1
1
1
1
1
10
10
10
10
10
10
10
1
1
1
1
1
10
1
10
1
10
10
10
1
10
10
10
1
10
1
10
10
10
10
1
1
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
2
10
10
10
10
1
10
10
1
10
10
10
10
1
1
1
10
10
1
1
2
1
1
10
10
1
10
10
10
10
10
1
10
1
1
10
10
10
10
10
1
10
10
10
1
1
10
1
10
1
1
1
1
10
1
10
10
1
1
10
1
1
10
1
10
10
10
10
10
10
10
1
1
1
1
10
10
10
10
10
10
1
10
10
10
1
1
1
10
10
10
10
10
10
10
1
10
1
10
1
10
10
1
10
1
1
1
1
1
10
1
2
10
1
10
10
1
10
1
1
10
10
1
1
1
10
1
10
10
10
10
1
1
10
10
10
1
10
10
1
10
10
10
10
1
1
1
1
1
10
10
10
10
10
10
10
1
10
10
10
10
10
10
1
10
1
10
10
1
10
1
10
10
1
1
1
10
10
1
1
1
1
10
1
1
10
10
10
10
10
1
10
1
10
10
10
10
1
10
10
10
1
10
1
10
1
10
10
10
1
1
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
1
10
1
1
10
1
1
10
10
10
1
10
10
10
10
1
1
1
1
10
10
10
10
10
1
1
10
1
10
10
10
10
1
10
1
10
1
10
1
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
1
10
10
10
1
1
10
1
10
1
10
1
10
1
10
10
10
1
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
1
10
10
10
1
1
10
10
10
1
1
1
1
10
10
10
10
10
10
10
2
1
10
10
1
10
10
10
1
10
1
2
10
10
10
10
10
10
1
10
1
10
10
10
10
1
10
1
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
1
1
10
10
10
1
1
1
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
1
10
10
10
1
10
10
10
10
1
10
1
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
1
10
10
1
1
10
10
1
10
1
10
10
10
10
10
1
1
10
10
10
10
10
1
10
10
1
10
1
10
1
10
10
1
10
1
10
1
10
10
10
10
10
1
10
10
10
10
1
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
1
10
10
1
1
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
2
10
10
10
10
10
10
10
1
2
10
2
1
10
1
10
10
10
10
1
10
10
10
10
10
10
10
10
10
1
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
2
10
2
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
1
1
1
10
1
10
10
10
1
1
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
1
10
1
10
10
10
1
1
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
1
10
1
10
10
10
1
10
10
1
1
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
1
1
10
10
1
10
10
1
10
10
10
10
10
10
1
1
10
10
1
10
10
10
1
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
1
1
10
10
1
1
10
10
10
10
1
1
10
10
10
10
10
1
10
10
10
10
10
1
1
1
1
1
10
1
1
1
1
1
10
1
10
10
10
10
2
10
2
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
2
10
10
1
1
10
10
10
10
1
10
1
10
2
10
10
10
10
1
10
10
10
10
10
10
10
10
1
1
1
1
10
10
10
10
10
10
10
10
10
2
10
10
10
10
10
10
2
10
10
10
10
10
10
10
1
10
10
10
10
10
10
2
10
10
1
1
1
10
1
10
10
1
1
10
1
1
10
10
10
10
1
10
1
10
1
10
1
1
10
1
10
1
10
10
1
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
1
10
2
1
10
10
10
10
10
1
10
10
10
10
1
10
10
10
10
10
10
1
10
10
1
10
10
10
10
10
10
10
10
10
1
10
10
10
10
1
10
1
10
10
10
10
1
10
1
10
1
10
1
1
10
1
1
10
1
10
2
10
2
10
10
1
10
1
1
10
10
10
10
10
10
10
10
1
10
10
10
10
1
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
1
10
1
1
1
10
10
10
10
1
10
10
10
10
10
1
10
1
1
1
10
10
10
10
10
10
10
10
1
10
1
10
10
10
1
10
10
1
1
10
10
10
1
10
10
10
10
10
1
10
1
1
10
10
10
10
10
1
10
1
10
1
1
1
1
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
1
1
1
10
1
1
10
1
1
1
1
1
1
10
10
10
10
10
2
10
10
1
10
2
10
10
10
10
10
10
1
10
10
2
10
10
1
10
1
10
10
10
10
10
1
10
1
1
10
10
1
1
1
10
10
10
10
1
10
1
1
10
10
10
10
1
10
10
1
10
10
10
10
10
10
10
10
1
10
1
10
10
1
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
1
2
10
1
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
1
1
10
1
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
1
10
1
10
1
1
1
1
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
2
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
1
10
2
10
10
10
10
10
10
1
10
10
10
2
1
10
1
1
10
1
10
10
2
1
1
10
10
1
10
1
10
10
10
10
10
10
10
10
1
2
10
10
10
10
1
10
1
1
1
10
10
10
10
1
1
10
1
10
10
10
10
10
1
2
10
10
10
10
10
10
2
10
1
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
1
1
1
2
2
1
10
10
10
10
10
10
1
10
1
1
10
10
10
10
10
10
10
10
2
10
10
10
10
10
1
1
10
10
10
1
10
1
10
1
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
10
10
1
1
10
1
10
10
10
10
1
10
1
10
10
10
10
10
2
10
2
10
1
1
10
10
10
1
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
1
10
10
1
10
10
1
10
10
10
1
10
10
10
10
10
10
10
1
10
1
10
1
10
1
10
1
1
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
1
10
10
10
10
1
10
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
10
2
10
1
10
10
10
10
10
10
10
10
10
10
1
10
10
1
10
1
10
1
10
10
10
10
1
10
10
10
10
1
10
10
1
10
1
10
1
10
10
10
1
10
10
10
1
10
10
10
10
10
10
1
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
1
1
10
10
10
10
10
10
10
10
10
1
1
10
10
10
10
10
1
10
10
10
1
10
1
1
10
10
10
10
10
10
10
10
10
1
10
10
10
1
1
2
10
10
10
1
1
1
10
10
10
10
10
10
10
10
1
10
10
10
1
10
1
10
10
10
10
1
10
10
10
10
10
1
2
10
10
10
2
10
10
10
10
10
10
10
10
1
1
1
10
1
1
10
10
10
10
1
10
10
10
10
1
1
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
1
2
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
3
10
10
10
1
10
10
10
1
2
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
1
1
10
10
10
10
10
1
1
10
10
10
1
1
10
1
10
10
10
10
10
10
10
10
1
1
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
1
10
1
10
1
1
1
1
1
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
1
10
10
1
1
2
10
1
1
1
10
1
10
10
1
10
1
1
1
1
10
10
10
1
10
1
10
10
10
10
10
10
10
1
10
10
10
2
10
1
10
1
10
10
10
10
10
10
10
1
10
10
10
1
10
1
1
10
1
10
1
10
10
10
1
10
1
10
1
1
10
1
10
10
10
10
10
10
10
1
10
10
10
1
10
10
1
10
1
10
1
10
10
10
10
1
10
10
10
1
10
10
10
10
10
1
10
2
2
10
10
10
10
1
10
1
10
1
10
10
2
10
10
10
10
10
10
10
10
10
10
1
10
1
10
1
10
10
2
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
2
10
10
1
10
2
10
1
1
5
10
1
10
1
10
10
10
1
10
10
1
10
10
10
2
10
1
1
10
1
10
10
10
5
10
10
10
1
10
10
10
1
1
10
10
1
10
10
1
10
10
10
10
10
10
1
10
10
10
10
10
10
10
1
1
5
1
10
10
10
1
10
1
10
10
10
10
10
2
2
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
1
10
10
10
1
10
1
2
10
10
10
1
10
1
10
1
10
10
10
1
10
10
10
10
10
10
1
1
10
2
10
1
10
1
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
1
10
10
1
10
10
10
1
1
10
10
10
1
10
10
10
1
10
10
10
10
1
2
10
2
10
10
10
10
1
1
1
10
10
1
10
10
10
1
10
10
10
10
10
10
1
10
10
2
10
10
10
10
10
10
10
10
10
10
1
10
1
1
10
10
1
10
1
10
1
1
1
10
10
1
1
10
10
1
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
1
2
1
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
1
1
10
10
10
10
10
1
1
1
1
10
10
1
10
10
1
10
1
10
1
10
1
10
10
1
10
10
10
1
10
10
1
1
1
1
10
10
10
10
10
1
10
1
10
1
1
10
10
1
10
1
10
1
10
1
10
1
10
10
10
1
1
1
10
10
1
10
10
1
1
10
10
10
1
10
1
10
1
10
1
10
1
1
10
1
10
10
1
10
10
1
1
10
10
10
1
1
10
10
1
10
1
1
10
10
10
1
10
1
10
10
10
2
1
1
10
1
1
10
10
1
10
1
10
1
10
10
1
10
1
10
10
10
10
1
10
10
1
10
1
10
1
10
1
10
1
10
10
10
10
10
1
10
1
10
1
10
10
10
1
1
1
10
1
10
10
10
10
10
1
1
1
1
1
10
1
1
1
10
10
10
10
1
10
10
1
10
10
10
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
1
1
10
10
10
10
10
10
10
10
1
1
1
10
10
1
1
1
1
10
10
10
10
10
10
10
10
10
10
1
10
10
1
10
1
10
1
10
10
10
1
1
1
10
1
10
10
10
10
1
10
1
1
1
1
1
1
1
10
10
10
1
1
10
10
10
1
1
1
1
1
10
10
1
10
10
10
10
10
1
10
10
1
10
1
10
1
10
10
1
10
10
1
10
1
10
1
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
1
10
1
10
10
1
10
1
10
10
10
10
10
10
10
10
1
10
1
2
10
1
10
1
10
10
1
1
2
10
1
10
10
10
10
10
10
1
1
1
10
1
10
1
1
1
10
10
10
10
10
10
1
10
10
10
10
10
10
1
10
10
1
1
10
10
10
10
1
10
10
10
1
10
10
10
10
10
10
10
1
10
1
1
1
10
10
2
1
1
10
1
10
1
10
1
10
1
1
10
10
10
1
10
10
10
10
10
1
10
10
10
10
1
10
10
10
10
1
10
10
1
10
1
10
10
10
1
10
1
10
10
10
10
1
10
10
10
10
10
1
1
10
10
1
1
10
10
1
10
1
10
10
10
1
10
1
1
1
10
1
1
10
10
1
1
10
10
1
1
10
10
10
1
1
10
1
1
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
1
1
1
10
10
10
10
1
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
1
1
10
10
10
10
10
1
10
1
10
10
10
1
10
10
1
10
1
10
10
1
1
10
10
1
10
1
1
10
10
10
1
10
10
10
10
10
10
1
1
10
10
10
10
10
10
10
10
1
10
10
10
1
1
1
1
1
10
10
10
1
10
10
1
10
1
1
10
10
10
10
1
10
1
1
10
1
10
10
1
10
1
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
1
10
10
10
10
1
10
1
1
10
1
10
1
1
1
10
10
10
1
1
1
10
1
2
10
10
1
2
1
10
10
10
1
10
10
1
10
1
10
2
10
10
10
10
1
10
10
1
1
1
10
10
1
10
10
10
10
1
10
10
1
10
10
1
10
1
2
10
2
1
10
10
10
10
1
10
1
10
1
1
10
10
1
10
10
1
1
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
1
10
1
10
10
10
10
10
10
10
1
10
10
1
10
1
10
1
1
1
10
1
1
10
1
10
10
10
10
1
1
10
10
1
10
1
10
1
10
10
1
10
10
1
10
10
10
10
10
10
10
10
2
10
10
1
10
10
1
10
10
10
10
1
1
10
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
1
10
10
1
10
10
10
10
1
10
1
10
1
1
1
1
1
1
1
10
1
1
10
10
1
1
1
1
10
1
10
10
10
10
10
1
1
10
10
10
10
1
1
10
1
1
10
1
1
1
10
1
1
10
10
1
1
10
10
10
1
1
10
1
1
10
1
10
10
10
10
1
1
10
1
2
1
10
10
2
1
10
10
10
1
1
1
10
1
1
1
2
2
1
10
10
10
10
10
1
1
1
1
1
1
10
10
10
1
10
10
1
10
1
1
10
10
10
10
10
10
10
1
1
10
10
1
1
1
2
10
1
10
10
1
1
10
10
10
10
1
1
1
1
1
1
10
10
1
1
1
10
10
10
10
1
10
1
10
10
1
10
10
10
1
1
10
1
1
1
10
1
10
1
1
1
10
10
1
10
1
1
10
10
10
1
10
10
1
10
10
10
10
1
10
10
10
1
1
10
10
10
10
1
1
10
1
1
1
2
10
1
10
1
1
1
1
1
1
10
1
10
10
10
1
10
10
1
10
10
1
1
1
1
10
10
10
10
1
1
10
1
1
10
1
1
10
1
10
10
10
10
10
1
10
10
1
1
10
10
2
1
1
10
10
1
10
10
10
10
1
1
1
1
10
1
10
1
1
10
10
1
10
10
10
1
1
1
1
1
10
10
10
1
10
10
10
1
10
1
10
10
10
1
10
1
10
10
1
10
10
1
10
1
1
1
1
10
10
10
10
1
1
1
10
1
1
1
1
1
1
10
2
1
10
10
10
1
10
1
1
10
10
10
10
1
10
10
1
10
10
1
1
10
10
1
10
10
10
1
10
1
10
1
1
1
1
10
1
1
1
10
10
10
1
1
1
10
10
1
1
10
10
1
10
1
10
10
10
10
1
1
1
10
10
1
1
10
1
10
10
10
10
1
10
10
10
10
10
2
10
1
10
10
1
1
10
10
1
10
1
10
10
10
10
1
10
1
1
1
10
1
1
1
10
10
1
10
1
1
10
10
10
1
10
10
1
10
1
10
1
10
10
10
1
10
10
10
1
10
10
10
1
1
10
1
10
10
1
10
1
1
10
10
10
1
10
10
10
1
1
10
1
1
10
10
1
10
10
10
10
10
1
10
10
10
10
1
1
1
1
10
1
1
10
1
1
1
1
1
10
1
1
1
10
10
10
1
1
1
1
10
10
10
10
1
1
10
1
1
1
10
1
1
10
1
1
1
10
10
10
1
10
1
10
1
10
10
10
1
1
10
10
1
10
1
10
1
10
10
10
10
10
1
10
10
1
10
10
1
10
1
10
2
1
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
1
10
10
10
10
1
10
10
1
10
1
10
1
10
10
1
1
10
10
10
10
10
10
1
10
10
1
10
1
10
10
10
10
10
10
10
1
10
10
10
10
10
1
10
1
10
1
10
10
10
10
10
10
1
1
10
1
1
10
10
10
1
10
10
10
1
1
1
10
10
1
10
10
1
10
10
1
1
10
10
2
1
10
10
10
10
10
2
10
10
1
1
10
1
1
10
1
10
1
1
10
10
1
10
1
2
1
10
1
10
10
1
1
1
10
10
1
1
10
10
10
10
1
10
1
10
1
10
1
10
10
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
1
10
1
1
1
10
10
1
1
1
10
1
1
10
10
10
1
1
1
10
10
10
10
10
10
1
10
10
1
1
10
1
1
10
1
10
1
10
10
10
1
10
1
10
1
1
10
10
10
1
1
10
10
10
1
10
1
1
10
10
1
10
1
10
1
1
10
10
10
1
1
10
1
10
10
1
10
1
10
2
1
10
10
10
10
10
10
10
1
1
1
1
10
1
10
10
10
10
10
1
1
10
10
10
10
1
10
10
10
1
10
10
10
10
10
10
10
1
1
10
10
10
10
10
10
1
1
10
10
10
1
10
1
1
10
10
10
10
10
10
10
1
10
10
1
10
10
10
1
1
10
10
1
10
10
1
1
10
1
1
10
1
1
10
10
10
10
1
10
10
10
10
1
10
1
1
10
1
10
1
1
1
1
1
10
10
1
1
10
10
1
1
10
1
1
1
1
10
1
10
10
10
1
2
1
1
1
10
10
1
10
10
1
1
1
1
10
10
10
10
10
1
10
10
10
1
10
1
10
10
10
10
1
1
10
10
1
10
10
1
1
1
1
10
1
10
10
10
10
1
10
10
1
10
1
1
1
1
10
1
1
10
1
1
1
10
10
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
10
10
1
1
10
10
10
10
1
10
10
10
10
10
10
10
1
10
10
1
1
10
1
10
10
1
10
1
1
1
10
1
10
10
10
10
1
10
1
10
1
10
10
10
10
10
10
1
10
1
10
1
10
10
10
10
1
10
10
1
1
10
10
10
1
1
1
1
1
10
10
10
1
10
1
10
1
10
1
10
10
10
10
1
1
10
10
10
10
2
10
1
10
1
1
1
10
1
10
10
10
10
10
10
10
10
1
10
1
1
10
10
1
1
1
10
10
1
1
10
1
10
1
10
1
10
1
10
1
10
10
10
1
10
1
10
1
1
1
10
10
1
1
10
10
10
10
1
10
10
1
10
1
10
10
10
10
10
1
10
10
10
10
10
1
10
10
10
1
10
1
10
10
1
1
10
10
10
1
1
10
1
1
10
10
1
10
1
10
1
1
1
1
10
10
10
10
10
1
10
1
10
10
1
10
10
10
1
10
10
1
1
10
1
1
1
10
10
1
1
10
10
10
10
1
1
10
10
1
10
1
1
1
1
10
10
1
1
10
10
10
1
10
10
10
10
1
10
1
10
10
1
10
10
10
1
1
1
10
1
10
10
10
1
10
10
1
1
10
10
10
1
10
10
10
10
10
1
10
10
1
10
10
1
10
10
10
10
10
10
10
10
1
10
10
1
1
1
10
1
10
10
10
10
10
1
10
10
1
10
1
1
10
10
1
1
10
1
10
10
1
10
10
10
1
1
10
9
2
10
1
10
1
10
10
1
1
1
1
10
1
10
1
10
10
10
10
1
10
10
1
10
10
10
10
10
10
10
10
1
10
10
1
1
10
1
2
1
10
1
10
10
1
10
10
1
10
10
2
10
1
10
10
10
10
10
10
10
10
1
1
10
1
10
1
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
10
10
1
10
1
10
1
10
1
1
10
1
10
1
10
1
10
10
1
10
1
10
1
1
10
1
1
1
10
10
1
1
10
1
1
10
10
10
1
1
10
10
1
10
10
10
1
1
10
10
10
10
1
10
1
10
10
10
10
1
1
10
1
1
10
10
10
10
10
10
1
10
1
1
10
1
10
10
10
10
10
10
1
10
10
1
1
1
1
10
1
1
10
10
10
10
1
10
1
10
1
10
10
10
1
10
10
10
10
10
10
10
10
1
10
10
10
1
10
1
1
1
10
1
10
10
10
1
10
10
10
1
1
10
10
10
10
10
1
1
10
10
10
10
10
10
10
10
1
10
10
10
1
1
10
1
1
10
1
10
10
1
10
10
1
10
1
10
1
10
10
10
10
10
10
1
10
10
10
10
10
1
10
1
10
10
10
10
10
10
10
10
10
10
10
1
10
10
1
10
10
1
10
1
10
1
10
10
1
1
10
10
10
10
1
10
2
10
10
10
10
10
10
1
10
1
10
10
1
10
10
1
1
1
10
10
10
10
10
10
10
1
1
10
10
1
10
10
1
1
1
1
1
1
10
10
1
10
1
1
1
1
10
10
10
10
10
1
1
10
1
1
1
10
1
1
1
10
10
1
10
1
1
10
1
1
1
1
10
1
1
1
10
10
10
10
10
10
1
1
1
10
10
10
1
1
10
1
10
1
10
10
10
10
10
1
1
10
1
1
1
1
10
10
1
1
10
10
10
1
1
10
10
10
10
10
1
10
1
10
1
1
10
1
1
10
10
1
1
10
10
1
10
1
1
10
1
10
10
10
10
10
1
10
10
10
10
1
10
1
10
10
10
1
10
1
10
10
1
10
10
10
10
1
10
10
10
1
10
1
10
10
10
10
1
10
10
10
10
2
1
1
1
10
10
10
10
10
10
10
1
10
10
10
10
1
1
10
1
1
1
1
10
1
1
1
10
10
10
10
1
10
1
10
1
1
10
10
1
1
1
10
1
10
1
1
10
10
1
1
1
1
1
10
1
10
1
1
10
10
10
1
10
1
10
1
10
1
10
1
1
1
1
1
1
10
1
10
10
1
10
10
10
10
1
10
1
1
10
10
10
10
10
10
1
10
10
1
1
10
1
1
10
1
1
10
10
1
1
10
10
10
10
1
10
1
10
10
1
1
1
10
10
10
10
10
1
10
1
1
10
1
10
10
1
1
1
10
10
10
1
1
10
10
2
1
1
10
1
1
1
1
10
1
10
1
10
10
10
1
1
1
10
1
10
1
1
1
1
10
1
10
10
1
10
10
10
10
10
10
2
10
2
10
10
10
10
10
10
10
1
1
10
1
10
10
1
10
10
10
10
1
10
10
10
10
1
10
10
2
10
10
2
10
1
10
10
10
10
1
10
1
1
10
1
1
10
1
10
1
1
1
1
10
1
10
10
10
1
1
1
1
10
10
10
10
10
10
10
10
1
10
10
10
10
1
10
10
10
10
10
10
10
10
10
10
10
10
1
10
1
10
10
10
10
10
1
10
10
10
1
1
1
1
10
1
10
10
1
10
1
3
1
10
10
10
10
1
10
10
1
10
1
10
10
1
1
10
10
10
10
10
10
10
1
10
10
10
10
10
10
10
10
1
10
1
10
10
10
1
1
1
10
1
1
10
10
1
10
1
10
10
10
10
10
10
10
1
10
1
10
1
10
10
10
1
1
1
10
1
10
10
10
1
1
10
10
1
10
1
10
10
10
1
10
10
1
10
10
1
1
1
10
10
10
10
10
1
10
10
1
1
1
1
1
10
1
1
1
10
1
1
1
1
1
1
1
10
1
10
1
1
10
1
10
1
10
1
10
1
10
10
1
10
10
10
1
10
1
10
1
10
10
1
2
1
1
1
1
1
10
10
1
10
1
10
1
10
10
1
10
10
10
1
1
1
10
1
10
10
10
1
10
10
10
10
1
10
1
10
1
10
10
10
10
1
10
1
10
10
10
1
10
10
1
1
1
10
10
2
10
10
10
10
1
1
1
10
1
1
10
10
10
10
10
10
10
10
10
10
10
10
10
1
10
2
10
1
10
1
1
10
10
1
10
10
10
10
10
10
10
10
1
10
10
10
1
10
10
10
1
10
1
10
1
10
10
1
1
1
2
10
10
1
10
10
10
1
1
1
10
1
10
1
10
10
1
1
10
10
1
10
1
1
1
10
1
10
1
1
10
1
10
1
1
1