2
2
2
1
1
0
0
0
1
0
1
1
1
2
1
2
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
1
1
1
1
1
1
1
0
0
0
0
1
1
0
0
0
0
0
1
1
1
0
1
1
0
1
2
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
1
0
0
0
1
1
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
1
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
2
1
2
1
1
2
2
1
2
2
2
2
2
1
1
1
2
1
1
2
2
2
2
1
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
1
2
2
2
2
2
2
2
2
2
2
1
1
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
1
1
2
2
2
1
1
2
2
2
2
2
1
1
2
2
1
2
2
1
1
1
1
2
1
1
2
1
1
2
2
2
2
1
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
2
2
2
2
2
2
2
3
2
2
1
2
2
3
2
2
2
2
2
2
3
3
3
3
3
2
3
2
2
2
2
3
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
2
2
2
2
2
2
2
2
1
1
1
2
1
2
1
1
0
1
2
2
0
1
2
2
2
2
2
2
2
1
1
0
0
0
0
0
0
1
1
1
1
1
1
1
2
2
2
1
1
2
1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
2
1
2
1
2
1
1
1
2
2
2
2
2
2
2
2
2
1
1
2
2
2
2
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
2
1
2
1
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
1
2
2
1
1
1
2
2
1
2
2
2
2
2
2
1
2
2
2
2
3
2
2
3
2
2
2
3
2
2
2
2
2
2
2
2
2
2
2
2
3
2
2
2
2
2
2
1
2
2
2
2
2
2
2
3
2
2
2
3
3
2
3
3
3
3
3
3
3
3
3
2
3
3
2
3
2
2
3
3
3
2
2
1
2
2
1
1
2
1
2
2
2
2
2
2
3
2
2
2
2
1
2
3
2
2
2
2
2
1
2
2
3
3
2
2
2
2
2
2
2
2
3
3
3
3
3
3
3
3
3
3
3
3
3
3
4
2
3
2
2
2
3
3
4
3
4
3
4
4
3
3
3
3
3
3
3
3
3
2
2
2
2
3
3
3
2
3
2
2
3
3
2
2
2
2
3
3
3
2
2
3
3
3
2
3
2
2
2
2
2
2
2
2
3
2
2
2
2
2
2
3
2
3
4
3
3
2
3
2
3
2
3
2
2
3
2
3
3
3
3
3
2
2
1
2
2
2
2
2
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
2
3
2
3
3
3
3
2
2
2
2
2
1
2
2
2
3
2
2
3
2
3
2
2
2
2
2
2
3
3
2
2
3
2
2
3
2
3
2
3
2
2
3
3
3
3
2
3
2
3
2
2
3
1
2
2
1
1
2
2
2
2
2
2
1
2
1
2
2
3
2
2
2
2
2
2
2
2
2
3
2
2
2
2
2
3
3
2
2
2
3
3
2
2
3
2
2
2
2
2
2
2
2
2
3
2
2
1
1
1
2
2
2
2
2
2
2
2
3
3
2
3
3
3
3
3
2
3
3
3
3
3
3
3
3
3
3
3
2
2
3
2
3
3
2
3
3
3
2
2
2
2
2
1
2
2
2
1
1
2
2
2
2
2
2
2
1
2
1
2
2
1
2
1
2
2
3
2
2
2
1
2
2
2
3
2
2
2
2
2
2
2
3
2
2
3
3
2
2
2
2
2
2
2
2
2
2
2
2
2
1
1
1
1
2
2
1
2
1
1
1
2
1
0
1
1
1
1
1
1
1
1
0
0
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
1
1
1
1
1
2
1
2
2
2
1
1
1
1
1
1
1
1
0
2
1
1
1
1
2
3
3
3
2
2
2
2
2
2
2
2
2
3
2
1
1
0
0
0
0
0
0
0
0
2
1