0
0
1
0
x1
0
2
0
0
3
1
x1
0
0
1
0
x1
0
2
0
4
1
0
x1
0
0
1
0
x1
2
0
0
0
2
1
x1
3
0
1
0
x1
0
2
3
1
0
x1
3
0
1
0
x1
3
1
0
0
2
x1
3
0
1
0
x1
3
1
1
0
0
x1
3
0
1
0
x1
3
1
2
0
0
x1
3
0
1
0
x1
3
1
5
0
0
x1
3
0
1
0
x1
3
5
1
0
0
x1
3
0
1
0
x1
5
0
3
1
0
x1
3
0
1
0
x1
2
0
2
3
1
0
x1
3
0
1
0
x1
2
2
0
3
1
0
x1
3
0
1
0
x1
3
1
5
0
0
0
x1
3
0
1
0
x1
3
1
5
0
2
0
x1
3
0
1
0
x1
3
1
5
1
0
0
x1
3
0
1
0
x1
3
1
5
2
0
0
x1
3
0
1
0
x1
3
1
5
5
0
0
x1
3
0
1
0
x1
3
2
2
1
0
0
x1
3
0
1
0
x1
3
5
1
0
0
2
x1
3
0
1
0
x1
3
5
1
5
0
0
x1
3
0
1
0
x1
5
1
1
3
0
0
x1
3
4
1
0
x1
3
1
2
4
0
x1
3
4
1
0
x1
3
1
4
0
2
x1
3
4
1
0
x1
3
1
5
4
0
x1
3
4
1
0
x1
3
4
2
1
0
x1
3
4
1
0
x1
3
1
1
5
4
0
x1
3
4
1
0
x1
3
1
2
1
4
0
x1
3
4
1
0
x1
3
1
2
5
4
0
x1
3
4
1
0
x1
3
1
4
2
0
2
x1
3
4
1
0
x1
3
1
5
4
0
2
x1
3
4
1
0
x1
3
1
5
5
4
0
x1
3
4
1
0
x1
3
4
2
1
1
0
x1
3
4
1
0
x1
3
4
5
1
2
0
x1
0
1
4
1
0
x1
0
1
1
4
0
2
x1
0
2
0
1
0
x1
0
2
0
0
3
1
x1
0
2
0
1
0
x1
2
0
0
0
3
1
x1
0
3
0
1
0
x1
0
0
3
1
3
0
x1
0
3
0
1
0
x1
0
0
3
3
1
0
x1
0
3
0
1
0
x1
0
0
3
5
1
0
x1
0
3
0
1
0
x1
2
0
0
3
1
0
x1
0
3
4
1
0
x1
0
2
0
4
3
1
x1
0
5
0
1
0
x1
0
0
0
1
5
2
x1
0
5
0
1
0
x1
0
0
1
5
1
0
x1
0
5
0
1
0
x1
0
2
0
0
1
5
x1
3
0
1
0
0
x1
3
1
3
0
0
0
x1
3
0
1
1
0
x1
3
1
0
1
2
0
x1
3
0
2
1
0
x1
2
0
3
1
1
0
x1
3
0
2
1
0
x1
2
3
1
5
0
0
x1
3
0
2
1
0
x1
3
1
2
0
1
0
x1
3
0
2
1
0
x1
3
1
2
0
5
0
x1
3
0
5
1
0
x1
3
1
5
2
0
0
x1
3
1
0
1
0
x1
2
0
3
1
1
0
x1
3
1
0
1
0
x1
3
1
1
1
0
0
x1
3
1
0
1
0
x1
3
1
2
1
0
0
x1
3
1
4
1
0
x1
3
1
2
1
4
0
x1
3
1
4
1
0
x1
3
1
5
1
4
0
x1
3
2
0
1
0
x1
0
2
3
1
5
0
x1
3
2
0
1
0
x1
2
0
3
1
1
0
x1
3
3
0
1
0
x1
3
1
2
0
3
0
x1
3
3
0
1
0
x1
3
1
2
3
0
0
x1
3
3
4
1
0
x1
3
1
2
4
3
0
x1
3
3
4
1
0
x1
3
1
3
4
0
2
x1
3
3
4
1
0
x1
3
1
4
3
1
0
x1
3
4
0
1
0
x1
0
2
4
1
3
0
x1
3
4
0
1
0
x1
3
1
4
0
0
2
x1
3
4
0
1
0
x1
3
2
0
4
1
0
x1
3
4
4
1
0
x1
3
1
1
4
4
0
x1
2.2
0
0
1
0
x1
0
4
1
0
x1
0
3
0
1
0
x1
0
0
3
5
1
0
x1
3
3
0
1
0
x1
3
0
x1
3
0
2
1
0
x1
3
1
5
0
0
x1
0
3
0
1
0
x1
0
0
3
3
1
0
x1
3
0
1
0
x1
0
0
x1
3
0
1
0
x1
0
3
1
0
x1
0
3
0
1
0
x1
0
0
3
1
0
x1
3
3
0
1
0
x1
0
3
0
x1
3
0
1
0
x1
0
0
2
x1
3
0
1
0
x1
0
0
2
x1
3
3
0
1
0
x1
3
1
2
0
3
0
x1
0
3
0
1
0
x1
3
3
1
0
x1
3
0
1
0
x1
3
5
1
0
0
2
x1
0
5
0
1
0
x1
0
1
5
x1
0
5
0
1
0
x1
0
2
0
0
1
5
x1
3
4
0
1
0
x1
0
2
4
1
3
0
x1
3
3
4
1
0
x1
3
4
0
2
x1
0
3
0
1
0
x1
0
3
1
0
x1
3
0
1
0
x1
0
0
x1
3
0
1
0
x1
0
2
0
x1
3
0
1
0
x1
3
1
5
1
0
0
x1
0
3
0
1
0
x1
3
1
0
x1
0
2
0
1
0
x1
3
1
x1
3
4
1
0
x1
3
1
5
4
0
2
x1
3
0
1
0
x1
0
0
x1
3
3
4
1
0
x1
0
2
x1
3
2
0
1
0
x1
0
2
3
1
5
0
x1
3
0
1
0
x1
0
0
x1
3
4
1
0
x1
3
4
2
1
1
0
x1
3
4
1
0
x1
3
1
4
0
2
x1
0
3
0
1
0
x1
3
1
0
x1
3
0
1
0
x1
0
2
x1
3
4
1
0
x1
0
2
x1
3
2
0
1
0
x1
3
1
5
0
x1
3
3
0
1
0
x1
0
0
x1
0
0
1
0
x1
0
0
3
1
x1
3
0
1
0
x1
0
0
x1
3
0
1
0
x1
3
1
0
x1
3
0
1
0
x1
0
0
x1
3
0
1
0
x1
3
1
0
x1
3
0
1
0
x1
0
0
x1
3
4
1
0
x1
3
1
2
1
4
0
x1
3
0
1
0
x1
3
1
5
0
0
0
x1
3
0
1
1
0
x1
3
1
0
1
2
0
x1
0
2
0
1
0
x1
0
3
1
x1
3
4
0
1
0
x1
3
2
0
4
1
0
x1
0
5
0
1
0
x1
0
0
1
5
x1
3
0
1
0
x1
3
1
0
x1
3
4
1
0
x1
0
2
x1
3
3
0
1
0
x1
3
0
0
x1
3
0
1
0
x1
3
1
0
0
2
x1
0
3
0
1
0
x1
3
0
x1
0
0
1
0
x1
3
1
x1
3
0
1
0
x1
3
1
5
0
2
0
x1
0
3
0
1
0
x1
3
1
3
0
x1
0
0
1
0
x1
0
0
0
2
1
x1
3
4
1
0
x1
3
4
2
1
0
x1
3
3
4
1
0
x1
3
1
0
x1
3
1
0
1
0
x1
3
1
1
0
x1
3
4
4
1
0
x1
3
1
1
4
4
0
x1
3
0
1
0
x1
0
2
x1
3
1
4
1
0
x1
3
1
5
1
4
0
x1
3
4
0
1
0
x1
0
0
2
x1
3
4
0
1
0
x1
0
4
1
0
x1
3
2
0
1
0
x1
0
3
1
1
0
x1
3
0
2
1
0
x1
3
1
2
0
1
0
x1
3
0
1
0
x1
0
2
3
1
0
x1
3
0
1
0
x1
0
3
1
0
x1
0
0
1
0
x1
0
3
1
x1
3
0
1
0
x1
3
5
1
5
0
0
x1
3
0
1
0
x1
3
1
5
5
0
0
x1
3
0
1
1
0
x1
0
1
2
0
x1
0
1
4
1
0
x1
0
2
x1
3
4
1
0
x1
0
2
x1
3
0
2
1
0
x1
0
0
x1
3
0
1
0
x1
0
0
0
x1
3
0
5
1
0
x1
3
1
5
2
0
0
x1
3
0
2
1
0
x1
0
3
1
1
0
x1
0
0
1
0
x1
0
2
1
x1
3
3
0
1
0
x1
3
1
2
3
0
0
x1
0
0
1
0
x1
0
0
2
1
x1
0
3
4
1
0
x1
3
1
x1
3
0
1
0
x1
3
1
5
2
0
0
x1
0
3
0
1
0
x1
3
5
1
0
x1
0
2
0
1
0
x1
0
2
0
0
3
1
x1
3
0
1
0
x1
3
1
1
0
0
x1
3
1
0
1
0
x1
0
0
x1
0
2
0
1
0
x1
3
1
x1
3
4
0
1
0
x1
3
0
x1
3
4
1
0
x1
3
1
1
5
4
0
x1
3
4
1
0
x1
3
4
5
1
2
0
x1
3
0
1
0
0
x1
3
0
0
0
x1
3
3
4
1
0
x1
3
1
2
4
3
0
x1
3
3
4
1
0
x1
3
1
3
4
0
2
x1
0
2
0
1
0
x1
0
0
0
3
1
x1
3
4
1
0
x1
3
1
4
2
0
2
x1
3
1
4
1
0
x1
3
1
2
1
4
0
x1
3
0
1
0
0
x1
0
0
0
x1
3
1
0
1
0
x1
0
0
x1
0
3
0
1
0
x1
0
3
1
3
0
x1
3
0
1
0
x1
0
0
x1
3
3
4
1
0
x1
3
0
x1
3
0
1
0
x1
3
1
2
0
0
x1
0
3
0
1
0
x1
0
3
5
1
0
x1
3
1
0
1
0
x1
3
1
1
1
0
0
x1
3
0
1
0
x1
3
1
5
0
0
x1
3
0
2
1
0
x1
0
5
0
x1
3
0
1
0
x1
3
1
0
x1
3
4
1
0
x1
3
1
5
4
0
x1
3
3
4
1
0
x1
3
1
4
3
1
0
x1
0
5
0
1
0
x1
0
1
5
2
x1
3
2
0
1
0
x1
3
1
1
0
x1
0
3
4
1
0
x1
0
4
3
1
x1
3
0
2
1
0
x1
3
1
2
0
5
0
x1
3
0
1
0
x1
0
0
x1
3
0
1
0
0
x1
3
1
3
0
0
0
x1
3
1
0
1
0
x1
3
1
2
1
0
0
x1
0
1
4
1
0
x1
0
1
1
4
0
2
x1
3
0
2
1
0
x1
3
1
1
0
x1
3
4
0
1
0
x1
3
1
4
0
0
2
x1
3
0
1
0
x1
0
0
x1
0
2
0
1
0
x1
0
3
1
x1
3
4
1
0
x1
3
1
5
5
4
0
x1
0
0
1
0
x1
0
2
0
0
3
1
x1
0
3
0
1
0
x1
0
3
3
1
0
x1
0
3
0
1
0
x1
0
0
3
1
3
0
x1
0
5
0
1
0
x1
0
0
1
5
2
x1
0
5
0
1
0
x1
0
0
1
5
1
0
x1
3
1
0
1
0
x1
0
3
1
1
0
x1
0
0
1
0
x1
0
2
0
4
1
0
x1
3
0
1
0
x1
0
0
x1
3
0
1
0
x1
3
0
0
x1
3
0
1
0
x1
3
5
1
0
0
x1
0
2
0
1
0
x1
0
0
3
1
x1
3
0
1
0
x1
0
2
3
1
0
x1
0
2
0
1
0
x1
0
0
3
1
x1
0
5
0
1
0
x1
0
0
0
1
5
2
x1
3
0
1
0
x1
3
2
2
1
0
0
x1
3
4
0
1
0
x1
0
2
x1
3
4
1
0
x1
3
1
2
5
4
0
x1
0
5
0
1
0
x1
0
1
5
1
0
x1
3
4
1
0
x1
3
1
2
4
0
x1
3
0
2
1
0
x1
0
1
0
x1
3
0
5
1
0
x1
0
0
x1
0
3
4
1
0
x1
0
2
0
4
3
1
x1
true
3
0
2
1
0
x1
0
1
0
x1
3
0
5
1
0
x1
0
0
x1
3
0
1
0
x1
0
0
0
x1
3
4
1
0
x1
0
2
x1
3
0
2
1
0
x1
0
0
x1
0
1
4
1
0
x1
0
2
x1
3
4
0
1
0
x1
0
2
x1
0
0
1
0
x1
0
3
1
x1
3
0
1
0
x1
0
3
1
0
x1
3
0
1
0
x1
0
2
3
1
0
x1
0
2
0
1
0
x1
0
0
3
1
x1
3
0
1
0
x1
0
2
3
1
0
x1
3
4
0
1
0
x1
0
0
2
x1
0
2
0
1
0
x1
0
0
3
1
x1
3
0
1
0
x1
0
2
x1
3
0
1
0
x1
3
0
0
x1
3
3
4
1
0
x1
3
1
0
x1
3
0
1
0
x1
0
0
x1
0
3
0
1
0
x1
3
1
3
0
x1
0
0
1
0
x1
3
1
x1
0
3
0
1
0
x1
3
0
x1
3
3
0
1
0
x1
3
0
0
x1
3
0
1
0
x1
3
1
0
0
2
x1
0
3
0
1
0
x1
0
0
3
1
3
0
x1
3
4
1
0
x1
0
2
x1
0
3
0
1
0
x1
0
3
3
1
0
x1
0
0
1
0
x1
0
2
0
0
3
1
x1
3
0
1
0
x1
3
1
0
x1
0
2
0
1
0
x1
0
3
1
x1
3
0
1
0
x1
0
0
x1
0
2
0
1
0
x1
0
3
1
x1
3
0
1
0
0
x1
3
1
3
0
0
0
x1
3
0
1
0
x1
0
0
x1
3
0
1
0
x1
0
0
x1
3
0
1
0
x1
3
1
0
x1
3
0
1
0
x1
0
0
x1
3
0
1
0
x1
3
1
0
x1
0
0
1
0
x1
0
0
3
1
x1
3
0
1
0
x1
0
0
x1
3
3
0
1
0
x1
0
0
x1
3
4
1
0
x1
0
2
x1
3
0
1
0
x1
3
1
0
x1
3
0
1
0
x1
0
2
x1
0
3
0
1
0
x1
3
1
0
x1
3
0
1
0
x1
0
0
x1
3
0
1
0
x1
0
0
x1
3
3
4
1
0
x1
0
2
x1
3
3
4
1
0
x1
3
0
x1
0
2
0
1
0
x1
3
1
x1
0
3
0
1
0
x1
3
1
0
x1
3
0
1
0
x1
0
0
x1
3
0
1
0
x1
0
2
0
x1
0
3
0
1
0
x1
0
3
1
3
0
x1
3
0
1
0
x1
0
0
x1
3
1
0
1
0
x1
0
0
x1
3
0
1
0
0
x1
0
0
0
x1
3
3
4
1
0
x1
3
4
0
2
x1
0
3
0
1
0
x1
0
3
1
0
x1
0
2
0
1
0
x1
0
0
0
3
1
x1
3
3
4
1
0
x1
3
1
3
4
0
2
x1
0
3
0
1
0
x1
3
3
1
0
x1
3
0
1
0
0
x1
3
0
0
0
x1
3
0
1
0
x1
0
0
2
x1
3
0
1
0
x1
0
0
2
x1
3
4
0
1
0
x1
3
0
x1
3
3
0
1
0
x1
0
3
0
x1
0
2
0
1
0
x1
3
1
x1
3
1
0
1
0
x1
0
0
x1
0
3
0
1
0
x1
0
0
3
1
0
x1
3
0
1
0
x1
0
0
x1
3
0
1
0
x1
0
3
1
0
x1
0
2
0
1
0
x1
0
2
0
0
3
1
x1
0
3
0
1
0
x1
0
0
3
3
1
0
x1
3
3
0
1
0
x1
3
0
x1
0
3
4
1
0
x1
3
1
x1
true
0
1
1
0
1
1
1
4
1
1
1
5
1
1
0
3
1
1
0
0
1
1
3
1
1
2
1
1
3
3
0
1
0
x1
3
0
x1
0
3
0
1
0
x1
0
0
3
3
1
0
x1
0
2
0
1
0
x1
0
2
0
0
3
1
x1
3
0
1
0
x1
0
3
1
0
x1
3
0
1
0
x1
0
0
x1
0
3
0
1
0
x1
0
0
3
1
0
x1
3
1
0
1
0
x1
0
0
x1
0
2
0
1
0
x1
3
1
x1
3
3
0
1
0
x1
0
3
0
x1
3
4
0
1
0
x1
3
0
x1
3
0
1
0
x1
0
0
2
x1
3
0
1
0
x1
0
0
2
x1
3
0
1
0
0
x1
3
0
0
0
x1
0
3
0
1
0
x1
3
3
1
0
x1
3
3
4
1
0
x1
3
1
3
4
0
2
x1
0
2
0
1
0
x1
0
0
0
3
1
x1
0
3
0
1
0
x1
0
3
1
0
x1
3
3
4
1
0
x1
3
4
0
2
x1
3
0
1
0
0
x1
0
0
0
x1
3
1
0
1
0
x1
0
0
x1
3
0
1
0
x1
0
0
x1
0
3
0
1
0
x1
0
3
1
3
0
x1
3
0
1
0
x1
0
2
0
x1
3
0
1
0
x1
0
0
x1
0
3
0
1
0
x1
3
1
0
x1
0
2
0
1
0
x1
3
1
x1
3
3
4
1
0
x1
3
0
x1
3
3
4
1
0
x1
0
2
x1
3
0
1
0
x1
0
0
x1
3
0
1
0
x1
0
0
x1
0
3
0
1
0
x1
3
1
0
x1
3
0
1
0
x1
0
2
x1
3
0
1
0
x1
3
1
0
x1
3
4
1
0
x1
0
2
x1
3
3
0
1
0
x1
0
0
x1
3
0
1
0
x1
0
0
x1
0
0
1
0
x1
0
0
3
1
x1
3
0
1
0
x1
3
1
0
x1
3
0
1
0
x1
0
0
x1
3
0
1
0
x1
3
1
0
x1
3
0
1
0
x1
0
0
x1
3
0
1
0
x1
0
0
x1
3
0
1
0
0
x1
3
1
3
0
0
0
x1
0
2
0
1
0
x1
0
3
1
x1
3
0
1
0
x1
0
0
x1
0
2
0
1
0
x1
0
3
1
x1
3
0
1
0
x1
3
1
0
x1
0
0
1
0
x1
0
2
0
0
3
1
x1
0
3
0
1
0
x1
0
3
3
1
0
x1
3
4
1
0
x1
0
2
x1
0
3
0
1
0
x1
0
0
3
1
3
0
x1
3
0
1
0
x1
3
1
0
0
2
x1
3
3
0
1
0
x1
3
0
0
x1
0
3
0
1
0
x1
3
0
x1
0
0
1
0
x1
3
1
x1
0
3
0
1
0
x1
3
1
3
0
x1
3
0
1
0
x1
0
0
x1
3
3
4
1
0
x1
3
1
0
x1
3
0
1
0
x1
3
0
0
x1
3
0
1
0
x1
0
2
x1
0
2
0
1
0
x1
0
0
3
1
x1
3
4
0
1
0
x1
0
0
2
x1
3
0
1
0
x1
0
2
3
1
0
x1
0
2
0
1
0
x1
0
0
3
1
x1
3
0
1
0
x1
0
2
3
1
0
x1
3
0
1
0
x1
0
3
1
0
x1
0
0
1
0
x1
0
3
1
x1
3
4
0
1
0
x1
0
2
x1
0
1
4
1
0
x1
0
2
x1
3
0
2
1
0
x1
0
0
x1
3
4
1
0
x1
0
2
x1
3
0
1
0
x1
0
0
0
x1
3
0
5
1
0
x1
0
0
x1
3
0
2
1
0
x1
0
1
0
x1
3
0
1
0
x1
3
2
2
1
0
0
x1
3
0
2
1
0
x1
3
1
2
0
5
0
x1
3
0
1
0
x1
0
2
3
1
0
x1
3
0
1
0
x1
3
1
5
1
0
0
x1
3
0
1
0
x1
3
1
5
0
0
x1
3
1
0
1
0
x1
3
1
2
1
0
0
x1
0
0
1
0
x1
0
2
0
0
3
1
x1
0
0
1
0
x1
2
0
0
0
2
1
x1
3
0
1
0
x1
3
1
5
2
0
0
x1
3
0
1
0
x1
5
1
1
3
0
0
x1
0
2
0
1
0
x1
2
0
0
0
3
1
x1
3
4
1
0
x1
3
1
1
5
4
0
x1
3
3
4
1
0
x1
3
1
4
3
1
0
x1
3
0
1
0
x1
3
5
1
0
0
2
x1
3
4
1
0
x1
3
4
2
1
1
0
x1
3
0
1
0
x1
3
1
5
5
0
0
x1
3
3
0
1
0
x1
3
1
2
3
0
0
x1
3
4
1
0
x1
3
1
2
1
4
0
x1
0
1
4
1
0
x1
0
1
1
4
0
2
x1
3
4
1
0
x1
3
1
2
4
0
x1
3
4
1
0
x1
3
1
2
5
4
0
x1
3
4
0
1
0
x1
3
1
4
0
0
2
x1
0
5
0
1
0
x1
0
2
0
0
1
5
x1
3
0
1
0
x1
3
1
0
0
2
x1
3
4
1
0
x1
3
4
5
1
2
0
x1
3
4
0
1
0
x1
0
2
4
1
3
0
x1
3
0
1
0
x1
5
0
3
1
0
x1
0
3
0
1
0
x1
0
0
3
5
1
0
x1
3
0
1
0
x1
3
1
2
0
0
x1
3
0
1
0
x1
3
5
1
5
0
0
x1
3
4
1
0
x1
3
4
2
1
0
x1
3
0
2
1
0
x1
3
1
2
0
1
0
x1
3
1
0
1
0
x1
2
0
3
1
1
0
x1
3
4
1
0
x1
3
1
5
4
0
2
x1
3
3
4
1
0
x1
3
1
3
4
0
2
x1
3
0
1
0
x1
3
1
5
0
2
0
x1
3
1
4
1
0
x1
3
1
5
1
4
0
x1
3
4
1
0
x1
3
1
5
5
4
0
x1
3
0
1
0
x1
2
2
0
3
1
0
x1
3
0
1
0
0
x1
3
1
3
0
0
0
x1
3
4
1
0
x1
3
1
4
0
2
x1
3
4
1
0
x1
3
1
5
4
0
x1
3
2
0
1
0
x1
0
2
3
1
5
0
x1
3
0
1
0
x1
2
0
2
3
1
0
x1
3
0
1
0
x1
3
5
1
0
0
x1
3
0
1
0
x1
3
1
5
0
0
0
x1
3
0
5
1
0
x1
3
1
5
2
0
0
x1
0
3
0
1
0
x1
2
0
0
3
1
0
x1
3
4
4
1
0
x1
3
1
1
4
4
0
x1
3
1
4
1
0
x1
3
1
2
1
4
0
x1
3
3
0
1
0
x1
3
1
2
0
3
0
x1
3
0
1
0
x1
3
1
1
0
0
x1
0
3
0
1
0
x1
0
0
3
3
1
0
x1
3
3
4
1
0
x1
3
1
2
4
3
0
x1
3
2
0
1
0
x1
2
0
3
1
1
0
x1
3
0
2
1
0
x1
2
3
1
5
0
0
x1
3
1
0
1
0
x1
3
1
1
1
0
0
x1
3
0
2
1
0
x1
2
0
3
1
1
0
x1
0
3
0
1
0
x1
0
0
3
1
3
0
x1
0
3
4
1
0
x1
0
2
0
4
3
1
x1
0
5
0
1
0
x1
0
0
0
1
5
2
x1
3
0
1
1
0
x1
3
1
0
1
2
0
x1
3
4
0
1
0
x1
3
2
0
4
1
0
x1
0
2
0
1
0
x1
0
2
0
0
3
1
x1
3
4
1
0
x1
3
1
4
2
0
2
x1
0
5
0
1
0
x1
0
0
1
5
1
0
x1
0
0
1
0
x1
0
2
0
4
1
0
x1
3
0
1
0
x1
0
0
x1
3
0
1
0
x1
3
1
0
x1
3
0
1
0
x1
0
2
3
1
0
x1
3
0
1
0
x1
0
0
x1
3
0
1
0
x1
0
0
x1
3
1
0
1
0
x1
0
0
x1
0
0
1
0
x1
3
1
x1
0
0
1
0
x1
0
3
1
x1
0
0
1
0
x1
0
0
3
1
x1
0
0
1
0
x1
0
2
0
0
3
1
x1
3
0
1
0
x1
0
0
x1
3
0
1
0
x1
0
0
x1
3
0
1
0
x1
3
0
0
x1
0
2
0
1
0
x1
3
1
x1
0
2
0
1
0
x1
0
3
1
x1
0
2
0
1
0
x1
0
0
3
1
x1
0
2
0
1
0
x1
0
0
0
3
1
x1
3
3
4
1
0
x1
3
1
0
x1
3
0
1
0
x1
0
2
x1
3
0
1
0
x1
0
0
2
x1
3
0
1
0
x1
0
0
x1
3
3
0
1
0
x1
0
0
x1
3
3
0
1
0
x1
3
0
0
x1
0
1
4
1
0
x1
0
2
x1
3
4
0
1
0
x1
0
2
x1
3
4
0
1
0
x1
0
0
2
x1
3
0
1
0
x1
0
2
x1
3
0
1
0
x1
0
0
2
x1
3
0
1
0
x1
3
1
0
0
2
x1
3
4
0
1
0
x1
3
0
x1
3
0
1
0
x1
3
1
0
x1
3
0
1
0
x1
0
3
1
0
x1
3
0
1
0
x1
0
0
x1
3
0
1
0
x1
0
0
x1
3
0
2
1
0
x1
0
1
0
x1
3
4
1
0
x1
0
2
x1
3
3
4
1
0
x1
0
2
x1
3
3
4
1
0
x1
3
4
0
2
x1
3
3
4
1
0
x1
3
1
3
4
0
2
x1
3
0
1
0
x1
0
2
0
x1
3
0
1
0
x1
3
1
0
x1
3
0
1
0
x1
0
3
1
0
x1
3
0
1
0
0
x1
0
0
0
x1
3
0
1
0
0
x1
3
0
0
0
x1
3
0
1
0
0
x1
3
1
3
0
0
0
x1
3
4
1
0
x1
0
2
x1
3
0
1
0
x1
3
1
0
x1
3
0
1
0
x1
0
2
3
1
0
x1
3
0
1
0
x1
0
0
x1
3
0
1
0
x1
0
0
x1
3
0
1
0
x1
0
0
0
x1
3
0
5
1
0
x1
0
0
x1
0
3
0
1
0
x1
3
1
0
x1
0
3
0
1
0
x1
0
3
1
0
x1
0
3
0
1
0
x1
0
0
3
1
0
x1
3
3
0
1
0
x1
3
0
x1
3
3
0
1
0
x1
0
3
0
x1
3
0
1
0
x1
0
0
x1
0
3
0
1
0
x1
3
1
0
x1
0
3
0
1
0
x1
3
3
1
0
x1
0
3
0
1
0
x1
0
3
3
1
0
x1
0
3
0
1
0
x1
0
0
3
3
1
0
x1
3
3
4
1
0
x1
3
0
x1
3
0
2
1
0
x1
0
0
x1
3
1
0
1
0
x1
0
0
x1
0
3
0
1
0
x1
3
0
x1
0
3
0
1
0
x1
3
1
3
0
x1
0
3
0
1
0
x1
0
3
1
3
0
x1
0
3
0
1
0
x1
0
0
3
1
3
0
x1
0
2
0
1
0
x1
3
1
x1
0
2
0
1
0
x1
0
3
1
x1
0
2
0
1
0
x1
0
0
3
1
x1
0
2
0
1
0
x1
0
2
0
0
3
1
x1
3
4
1
0
x1
0
2
x1
true
0
1
1
1
1
1
1
4
1
2
5
1
1
0
3
1
1
0
0
1
1
3
1
1
1
2
1
1
0
2
0
1
0
x1
0
2
0
0
3
1
x1
0
2
0
1
0
x1
0
0
3
1
x1
0
2
0
1
0
x1
0
3
1
x1
0
2
0
1
0
x1
3
1
x1
0
3
0
1
0
x1
0
0
3
1
3
0
x1
0
3
0
1
0
x1
0
3
1
3
0
x1
0
3
0
1
0
x1
3
1
3
0
x1
0
3
0
1
0
x1
3
0
x1
3
1
0
1
0
x1
0
0
x1
3
0
2
1
0
x1
0
0
x1
0
3
0
1
0
x1
0
0
3
3
1
0
x1
0
3
0
1
0
x1
0
3
3
1
0
x1
0
3
0
1
0
x1
3
3
1
0
x1
0
3
0
1
0
x1
3
1
0
x1
3
0
1
0
x1
0
0
x1
3
3
0
1
0
x1
0
3
0
x1
3
3
0
1
0
x1
3
0
x1
0
3
0
1
0
x1
0
0
3
1
0
x1
0
3
0
1
0
x1
0
3
1
0
x1
0
3
0
1
0
x1
3
1
0
x1
3
0
5
1
0
x1
0
0
x1
3
0
1
0
x1
0
0
0
x1
3
0
1
0
x1
0
0
x1
3
0
1
0
x1
0
0
x1
3
0
1
0
x1
0
2
3
1
0
x1
3
0
1
0
x1
3
1
0
x1
3
0
1
0
0
x1
3
1
3
0
0
0
x1
3
0
1
0
0
x1
3
0
0
0
x1
3
0
1
0
0
x1
0
0
0
x1
3
0
1
0
x1
0
3
1
0
x1
3
0
1
0
x1
3
1
0
x1
3
0
1
0
x1
0
2
0
x1
3
3
4
1
0
x1
3
4
0
2
x1
3
0
2
1
0
x1
0
1
0
x1
3
0
1
0
x1
0
0
x1
3
0
1
0
x1
0
0
x1
3
0
1
0
x1
0
3
1
0
x1
3
0
1
0
x1
3
1
0
x1
3
0
1
0
x1
3
1
0
0
2
x1
3
0
1
0
x1
0
0
2
x1
3
0
1
0
x1
0
2
x1
0
1
4
1
0
x1
0
2
x1
3
3
0
1
0
x1
3
0
0
x1
3
3
0
1
0
x1
0
0
x1
3
0
1
0
x1
0
0
x1
3
0
1
0
x1
0
0
2
x1
3
0
1
0
x1
0
2
x1
0
2
0
1
0
x1
0
0
0
3
1
x1
0
2
0
1
0
x1
0
0
3
1
x1
0
2
0
1
0
x1
0
3
1
x1
0
2
0
1
0
x1
3
1
x1
3
0
1
0
x1
3
0
0
x1
3
0
1
0
x1
0
0
x1
3
0
1
0
x1
0
0
x1
0
0
1
0
x1
0
2
0
0
3
1
x1
0
0
1
0
x1
0
0
3
1
x1
0
0
1
0
x1
0
3
1
x1
0
0
1
0
x1
3
1
x1
3
1
0
1
0
x1
0
0
x1
3
0
1
0
x1
0
0
x1
3
0
1
0
x1
0
0
x1
3
0
1
0
x1
0
2
3
1
0
x1
3
0
1
0
x1
3
1
0
x1
3
0
1
0
x1
0
0
x1
3
0
1
0
x1
3
2
2
1
0
0
x1
3
0
2
1
0
x1
3
1
2
0
5
0
x1
3
0
1
0
x1
0
2
3
1
0
x1
3
0
1
0
x1
3
1
5
1
0
0
x1
3
0
1
0
x1
3
1
5
0
0
x1
3
1
0
1
0
x1
3
1
2
1
0
0
x1
0
0
1
0
x1
0
2
0
0
3
1
x1
0
0
1
0
x1
2
0
0
0
2
1
x1
3
0
1
0
x1
3
1
5
2
0
0
x1
3
0
1
0
x1
5
1
1
3
0
0
x1
0
2
0
1
0
x1
2
0
0
0
3
1
x1
3
4
1
0
x1
3
1
1
5
4
0
x1
3
3
4
1
0
x1
3
1
4
3
1
0
x1
3
0
1
0
x1
3
5
1
0
0
2
x1
3
4
1
0
x1
3
4
2
1
1
0
x1
3
0
1
0
x1
3
1
5
5
0
0
x1
3
3
0
1
0
x1
3
1
2
3
0
0
x1
3
4
1
0
x1
3
1
2
1
4
0
x1
0
1
4
1
0
x1
0
1
1
4
0
2
x1
3
4
1
0
x1
3
1
2
4
0
x1
3
4
1
0
x1
3
1
2
5
4
0
x1
3
4
0
1
0
x1
3
1
4
0
0
2
x1
0
5
0
1
0
x1
0
2
0
0
1
5
x1
3
0
1
0
x1
3
1
0
0
2
x1
3
4
1
0
x1
3
4
5
1
2
0
x1
3
4
0
1
0
x1
0
2
4
1
3
0
x1
3
0
1
0
x1
5
0
3
1
0
x1
0
3
0
1
0
x1
0
0
3
5
1
0
x1
3
0
1
0
x1
3
1
2
0
0
x1
3
0
1
0
x1
3
5
1
5
0
0
x1
3
4
1
0
x1
3
4
2
1
0
x1
3
0
2
1
0
x1
3
1
2
0
1
0
x1
3
1
0
1
0
x1
2
0
3
1
1
0
x1
3
4
1
0
x1
3
1
5
4
0
2
x1
3
3
4
1
0
x1
3
1
3
4
0
2
x1
3
0
1
0
x1
3
1
5
0
2
0
x1
3
1
4
1
0
x1
3
1
5
1
4
0
x1
3
4
1
0
x1
3
1
5
5
4
0
x1
3
0
1
0
x1
2
2
0
3
1
0
x1
3
0
1
0
0
x1
3
1
3
0
0
0
x1
3
4
1
0
x1
3
1
4
0
2
x1
3
4
1
0
x1
3
1
5
4
0
x1
3
2
0
1
0
x1
0
2
3
1
5
0
x1
3
0
1
0
x1
2
0
2
3
1
0
x1
3
0
1
0
x1
3
5
1
0
0
x1
3
0
1
0
x1
3
1
5
0
0
0
x1
3
0
5
1
0
x1
3
1
5
2
0
0
x1
0
3
0
1
0
x1
2
0
0
3
1
0
x1
3
4
4
1
0
x1
3
1
1
4
4
0
x1
3
1
4
1
0
x1
3
1
2
1
4
0
x1
3
3
0
1
0
x1
3
1
2
0
3
0
x1
3
0
1
0
x1
3
1
1
0
0
x1
0
3
0
1
0
x1
0
0
3
3
1
0
x1
3
3
4
1
0
x1
3
1
2
4
3
0
x1
3
2
0
1
0
x1
2
0
3
1
1
0
x1
3
0
2
1
0
x1
2
3
1
5
0
0
x1
3
1
0
1
0
x1
3
1
1
1
0
0
x1
3
0
2
1
0
x1
2
0
3
1
1
0
x1
0
3
0
1
0
x1
0
0
3
1
3
0
x1
0
3
4
1
0
x1
0
2
0
4
3
1
x1
0
5
0
1
0
x1
0
0
0
1
5
2
x1
3
0
1
1
0
x1
3
1
0
1
2
0
x1
3
4
0
1
0
x1
3
2
0
4
1
0
x1
0
2
0
1
0
x1
0
2
0
0
3
1
x1
3
4
1
0
x1
3
1
4
2
0
2
x1
0
5
0
1
0
x1
0
0
1
5
1
0
x1
0
0
1
0
x1
0
2
0
4
1
0
x1
3
0
1
0
x1
0
0
x1
3
0
1
0
x1
3
1
0
x1
3
0
1
0
x1
0
2
3
1
0
x1
3
0
1
0
x1
0
0
x1
3
0
1
0
x1
0
0
x1
3
1
0
1
0
x1
0
0
x1
0
0
1
0
x1
3
1
x1
0
0
1
0
x1
0
3
1
x1
0
0
1
0
x1
0
0
3
1
x1
0
0
1
0
x1
0
2
0
0
3
1
x1
3
0
1
0
x1
0
0
x1
3
0
1
0
x1
0
0
x1
3
0
1
0
x1
3
0
0
x1
0
2
0
1
0
x1
3
1
x1
0
2
0
1
0
x1
0
3
1
x1
0
2
0
1
0
x1
0
0
3
1
x1
0
2
0
1
0
x1
0
0
0
3
1
x1
3
0
1
0
x1
0
2
x1
3
0
1
0
x1
0
0
2
x1
3
0
1
0
x1
0
0
x1
3
3
0
1
0
x1
0
0
x1
3
3
0
1
0
x1
3
0
0
x1
0
1
4
1
0
x1
0
2
x1
3
0
1
0
x1
0
2
x1
3
0
1
0
x1
0
0
2
x1
3
0
1
0
x1
3
1
0
0
2
x1
3
0
1
0
x1
3
1
0
x1
3
0
1
0
x1
0
3
1
0
x1
3
0
1
0
x1
0
0
x1
3
0
1
0
x1
0
0
x1
3
0
2
1
0
x1
0
1
0
x1
3
0
1
0
x1
0
2
0
x1
3
0
1
0
x1
3
1
0
x1
3
0
1
0
x1
0
3
1
0
x1
3
0
1
0
0
x1
0
0
0
x1
3
0
1
0
0
x1
3
0
0
0
x1
3
0
1
0
0
x1
3
1
3
0
0
0
x1
3
0
1
0
x1
3
1
0
x1
3
0
1
0
x1
0
2
3
1
0
x1
3
0
1
0
x1
0
0
x1
3
0
1
0
x1
0
0
x1
3
0
1
0
x1
0
0
0
x1
3
0
5
1
0
x1
0
0
x1
0
3
0
1
0
x1
3
1
0
x1
0
3
0
1
0
x1
0
3
1
0
x1
0
3
0
1
0
x1
0
0
3
1
0
x1
3
3
0
1
0
x1
3
0
x1
3
3
0
1
0
x1
0
3
0
x1
3
0
1
0
x1
0
0
x1
0
3
0
1
0
x1
3
1
0
x1
0
3
0
1
0
x1
3
3
1
0
x1
0
3
0
1
0
x1
0
3
3
1
0
x1
0
3
0
1
0
x1
0
0
3
3
1
0
x1
3
0
2
1
0
x1
0
0
x1
3
1
0
1
0
x1
0
0
x1
0
3
0
1
0
x1
3
0
x1
0
3
0
1
0
x1
3
1
3
0
x1
0
3
0
1
0
x1
0
3
1
3
0
x1
0
3
0
1
0
x1
0
0
3
1
3
0
x1
0
2
0
1
0
x1
3
1
x1
0
2
0
1
0
x1
0
3
1
x1
0
2
0
1
0
x1
0
0
3
1
x1
0
2
0
1
0
x1
0
2
0
0
3
1
x1
true
0
1
1
0
1
1
1
0
4
1
26930
5
1
1
3
1
1
0
1
1
3
1
1
2
1
1
0
2
0
1
0
x1
0
2
0
0
3
1
x1
0
2
0
1
0
x1
0
0
3
1
x1
0
2
0
1
0
x1
0
3
1
x1
0
2
0
1
0
x1
3
1
x1
0
3
0
1
0
x1
0
0
3
1
3
0
x1
0
3
0
1
0
x1
0
3
1
3
0
x1
0
3
0
1
0
x1
3
1
3
0
x1
0
3
0
1
0
x1
3
0
x1
3
1
0
1
0
x1
0
0
x1
3
0
2
1
0
x1
0
0
x1
0
3
0
1
0
x1
0
0
3
3
1
0
x1
0
3
0
1
0
x1
0
3
3
1
0
x1
0
3
0
1
0
x1
3
3
1
0
x1
0
3
0
1
0
x1
3
1
0
x1
3
0
1
0
x1
0
0
x1
3
3
0
1
0
x1
0
3
0
x1
3
3
0
1
0
x1
3
0
x1
0
3
0
1
0
x1
0
0
3
1
0
x1
0
3
0
1
0
x1
0
3
1
0
x1
0
3
0
1
0
x1
3
1
0
x1
3
0
5
1
0
x1
0
0
x1
3
0
1
0
x1
0
0
0
x1
3
0
1
0
x1
0
0
x1
3
0
1
0
x1
0
0
x1
3
0
1
0
x1
0
2
3
1
0
x1
3
0
1
0
x1
3
1
0
x1
3
0
1
0
0
x1
3
1
3
0
0
0
x1
3
0
1
0
0
x1
3
0
0
0
x1
3
0
1
0
0
x1
0
0
0
x1
3
0
1
0
x1
0
3
1
0
x1
3
0
1
0
x1
3
1
0
x1
3
0
1
0
x1
0
2
0
x1
3
0
2
1
0
x1
0
1
0
x1
3
0
1
0
x1
0
0
x1
3
0
1
0
x1
0
0
x1
3
0
1
0
x1
0
3
1
0
x1
3
0
1
0
x1
3
1
0
x1
3
0
1
0
x1
3
1
0
0
2
x1
3
0
1
0
x1
0
0
2
x1
3
0
1
0
x1
0
2
x1
3
3
0
1
0
x1
3
0
0
x1
3
3
0
1
0
x1
0
0
x1
3
0
1
0
x1
0
0
x1
3
0
1
0
x1
0
0
2
x1
3
0
1
0
x1
0
2
x1
0
2
0
1
0
x1
0
0
0
3
1
x1
0
2
0
1
0
x1
0
0
3
1
x1
0
2
0
1
0
x1
0
3
1
x1
0
2
0
1
0
x1
3
1
x1
3
0
1
0
x1
3
0
0
x1
3
0
1
0
x1
0
0
x1
3
0
1
0
x1
0
0
x1
0
0
1
0
x1
0
2
0
0
3
1
x1
0
0
1
0
x1
0
0
3
1
x1
0
0
1
0
x1
0
3
1
x1
0
0
1
0
x1
3
1
x1
3
1
0
1
0
x1
0
0
x1
3
0
1
0
x1
0
0
x1
3
0
1
0
x1
0
0
x1
3
0
1
0
x1
0
2
3
1
0
x1
3
0
1
0
x1
3
1
0
x1
3
0
1
0
x1
0
0
x1
3
0
1
0
x1
3
2
2
1
0
0
x1
3
0
2
1
0
x1
3
1
2
0
5
0
x1
3
0
1
0
x1
0
2
3
1
0
x1
3
0
1
0
x1
3
1
5
1
0
0
x1
3
0
1
0
x1
3
1
5
0
0
x1
3
1
0
1
0
x1
3
1
2
1
0
0
x1
0
0
1
0
x1
0
2
0
0
3
1
x1
0
0
1
0
x1
2
0
0
0
2
1
x1
3
0
1
0
x1
3
1
5
2
0
0
x1
3
0
1
0
x1
5
1
1
3
0
0
x1
0
2
0
1
0
x1
2
0
0
0
3
1
x1
3
4
1
0
x1
3
1
1
5
4
0
x1
3
3
4
1
0
x1
3
1
4
3
1
0
x1
3
0
1
0
x1
3
5
1
0
0
2
x1
3
4
1
0
x1
3
4
2
1
1
0
x1
3
0
1
0
x1
3
1
5
5
0
0
x1
3
3
0
1
0
x1
3
1
2
3
0
0
x1
3
4
1
0
x1
3
1
2
1
4
0
x1
0
1
4
1
0
x1
0
1
1
4
0
2
x1
3
4
1
0
x1
3
1
2
4
0
x1
3
4
1
0
x1
3
1
2
5
4
0
x1
3
4
0
1
0
x1
3
1
4
0
0
2
x1
0
5
0
1
0
x1
0
2
0
0
1
5
x1
3
0
1
0
x1
3
1
0
0
2
x1
3
4
1
0
x1
3
4
5
1
2
0
x1
3
4
0
1
0
x1
0
2
4
1
3
0
x1
3
0
1
0
x1
5
0
3
1
0
x1
0
3
0
1
0
x1
0
0
3
5
1
0
x1
3
0
1
0
x1
3
1
2
0
0
x1
3
0
1
0
x1
3
5
1
5
0
0
x1
3
4
1
0
x1
3
4
2
1
0
x1
3
0
2
1
0
x1
3
1
2
0
1
0
x1
3
1
0
1
0
x1
2
0
3
1
1
0
x1
3
4
1
0
x1
3
1
5
4
0
2
x1
3
3
4
1
0
x1
3
1
3
4
0
2
x1
3
0
1
0
x1
3
1
5
0
2
0
x1
3
1
4
1
0
x1
3
1
5
1
4
0
x1
3
4
1
0
x1
3
1
5
5
4
0
x1
3
0
1
0
x1
2
2
0
3
1
0
x1
3
0
1
0
0
x1
3
1
3
0
0
0
x1
3
4
1
0
x1
3
1
4
0
2
x1
3
4
1
0
x1
3
1
5
4
0
x1
3
2
0
1
0
x1
0
2
3
1
5
0
x1
3
0
1
0
x1
2
0
2
3
1
0
x1
3
0
1
0
x1
3
5
1
0
0
x1
3
0
1
0
x1
3
1
5
0
0
0
x1
3
0
5
1
0
x1
3
1
5
2
0
0
x1
0
3
0
1
0
x1
2
0
0
3
1
0
x1
3
4
4
1
0
x1
3
1
1
4
4
0
x1
3
1
4
1
0
x1
3
1
2
1
4
0
x1
3
3
0
1
0
x1
3
1
2
0
3
0
x1
3
0
1
0
x1
3
1
1
0
0
x1
0
3
0
1
0
x1
0
0
3
3
1
0
x1
3
3
4
1
0
x1
3
1
2
4
3
0
x1
3
2
0
1
0
x1
2
0
3
1
1
0
x1
3
0
2
1
0
x1
2
3
1
5
0
0
x1
3
1
0
1
0
x1
3
1
1
1
0
0
x1
3
0
2
1
0
x1
2
0
3
1
1
0
x1
0
3
0
1
0
x1
0
0
3
1
3
0
x1
0
3
4
1
0
x1
0
2
0
4
3
1
x1
0
5
0
1
0
x1
0
0
0
1
5
2
x1
3
0
1
1
0
x1
3
1
0
1
2
0
x1
3
4
0
1
0
x1
3
2
0
4
1
0
x1
0
2
0
1
0
x1
0
2
0
0
3
1
x1
3
4
1
0
x1
3
1
4
2
0
2
x1
0
5
0
1
0
x1
0
0
1
5
1
0
x1
0
0
1
0
x1
0
2
0
4
1
0
x1
3
0
1
0
x1
0
0
x1
3
0
1
0
x1
3
1
0
x1
3
0
1
0
x1
0
2
3
1
0
x1
3
0
1
0
x1
0
0
x1
3
0
1
0
x1
0
0
x1
3
1
0
1
0
x1
0
0
x1
0
0
1
0
x1
3
1
x1
0
0
1
0
x1
0
3
1
x1
0
0
1
0
x1
0
0
3
1
x1
0
0
1
0
x1
0
2
0
0
3
1
x1
3
0
1
0
x1
0
0
x1
3
0
1
0
x1
0
0
x1
3
0
1
0
x1
3
0
0
x1
0
2
0
1
0
x1
3
1
x1
0
2
0
1
0
x1
0
3
1
x1
0
2
0
1
0
x1
0
0
3
1
x1
0
2
0
1
0
x1
0
0
0
3
1
x1
3
0
1
0
x1
0
2
x1
3
0
1
0
x1
0
0
2
x1
3
0
1
0
x1
0
0
x1
3
3
0
1
0
x1
0
0
x1
3
3
0
1
0
x1
3
0
0
x1
3
0
1
0
x1
0
2
x1
3
0
1
0
x1
0
0
2
x1
3
0
1
0
x1
3
1
0
0
2
x1
3
0
1
0
x1
3
1
0
x1
3
0
1
0
x1
0
3
1
0
x1
3
0
1
0
x1
0
0
x1
3
0
1
0
x1
0
0
x1
3
0
1
0
x1
0
2
0
x1
3
0
1
0
x1
3
1
0
x1
3
0
1
0
x1
0
3
1
0
x1
3
0
1
0
0
x1
0
0
0
x1
3
0
1
0
0
x1
3
0
0
0
x1
3
0
1
0
0
x1
3
1
3
0
0
0
x1
3
0
1
0
x1
3
1
0
x1
3
0
1
0
x1
0
2
3
1
0
x1
3
0
1
0
x1
0
0
x1
3
0
1
0
x1
0
0
x1
3
0
1
0
x1
0
0
0
x1
3
0
5
1
0
x1
0
0
x1
0
3
0
1
0
x1
3
1
0
x1
0
3
0
1
0
x1
0
3
1
0
x1
0
3
0
1
0
x1
0
0
3
1
0
x1
3
3
0
1
0
x1
3
0
x1
3
3
0
1
0
x1
0
3
0
x1
3
0
1
0
x1
0
0
x1
0
3
0
1
0
x1
3
1
0
x1
0
3
0
1
0
x1
3
3
1
0
x1
0
3
0
1
0
x1
0
3
3
1
0
x1
0
3
0
1
0
x1
0
0
3
3
1
0
x1
3
0
2
1
0
x1
0
0
x1
3
1
0
1
0
x1
0
0
x1
0
3
0
1
0
x1
3
0
x1
0
3
0
1
0
x1
3
1
3
0
x1
0
3
0
1
0
x1
0
3
1
3
0
x1
0
3
0
1
0
x1
0
0
3
1
3
0
x1
0
2
0
1
0
x1
3
1
x1
0
2
0
1
0
x1
0
3
1
x1
0
2
0
1
0
x1
0
0
3
1
x1
0
2
0
1
0
x1
0
2
0
0
3
1
x1
true
0
1
1
0
1
1
46869
4
1
46870
5
1
23637
3
1
1
1
0
1
46870
3
1
1
1
2
1
46870
0
2
0
1
0
x1
0
2
0
0
3
1
x1
0
2
0
1
0
x1
0
0
3
1
x1
0
2
0
1
0
x1
0
3
1
x1
0
2
0
1
0
x1
3
1
x1
0
3
0
1
0
x1
3
0
x1
3
1
0
1
0
x1
0
0
x1
0
3
0
1
0
x1
0
3
3
1
0
x1
0
3
0
1
0
x1
3
3
1
0
x1
3
0
1
0
0
x1
3
0
0
0
x1
0
2
0
1
0
x1
0
0
0
3
1
x1
0
2
0
1
0
x1
0
0
3
1
x1
0
2
0
1
0
x1
0
3
1
x1
0
2
0
1
0
x1
3
1
x1
3
0
1
0
x1
3
0
0
x1
0
0
1
0
x1
0
2
0
0
3
1
x1
0
0
1
0
x1
0
0
3
1
x1
0
0
1
0
x1
0
3
1
x1
0
0
1
0
x1
3
1
x1
3
1
0
1
0
x1
0
0
x1
3
0
1
0
x1
3
2
2
1
0
0
x1
3
0
2
1
0
x1
3
1
2
0
5
0
x1
3
0
1
0
x1
0
2
3
1
0
x1
3
0
1
0
x1
3
1
5
1
0
0
x1
3
0
1
0
x1
3
1
5
0
0
x1
3
1
0
1
0
x1
3
1
2
1
0
0
x1
0
0
1
0
x1
0
2
0
0
3
1
x1
0
0
1
0
x1
2
0
0
0
2
1
x1
3
0
1
0
x1
3
1
5
2
0
0
x1
3
0
1
0
x1
5
1
1
3
0
0
x1
0
2
0
1
0
x1
2
0
0
0
3
1
x1
3
4
1
0
x1
3
1
1
5
4
0
x1
3
3
4
1
0
x1
3
1
4
3
1
0
x1
3
0
1
0
x1
3
5
1
0
0
2
x1
3
4
1
0
x1
3
4
2
1
1
0
x1
3
0
1
0
x1
3
1
5
5
0
0
x1
3
3
0
1
0
x1
3
1
2
3
0
0
x1
3
4
1
0
x1
3
1
2
1
4
0
x1
0
1
4
1
0
x1
0
1
1
4
0
2
x1
3
4
1
0
x1
3
1
2
4
0
x1
3
4
1
0
x1
3
1
2
5
4
0
x1
3
4
0
1
0
x1
3
1
4
0
0
2
x1
0
5
0
1
0
x1
0
2
0
0
1
5
x1
3
0
1
0
x1
3
1
0
0
2
x1
3
4
1
0
x1
3
4
5
1
2
0
x1
3
4
0
1
0
x1
0
2
4
1
3
0
x1
3
0
1
0
x1
5
0
3
1
0
x1
0
3
0
1
0
x1
0
0
3
5
1
0
x1
3
0
1
0
x1
3
1
2
0
0
x1
3
0
1
0
x1
3
5
1
5
0
0
x1
3
4
1
0
x1
3
4
2
1
0
x1
3
0
2
1
0
x1
3
1
2
0
1
0
x1
3
1
0
1
0
x1
2
0
3
1
1
0
x1
3
4
1
0
x1
3
1
5
4
0
2
x1
3
3
4
1
0
x1
3
1
3
4
0
2
x1
3
0
1
0
x1
3
1
5
0
2
0
x1
3
1
4
1
0
x1
3
1
5
1
4
0
x1
3
4
1
0
x1
3
1
5
5
4
0
x1
3
0
1
0
x1
2
2
0
3
1
0
x1
3
0
1
0
0
x1
3
1
3
0
0
0
x1
3
4
1
0
x1
3
1
4
0
2
x1
3
4
1
0
x1
3
1
5
4
0
x1
3
2
0
1
0
x1
0
2
3
1
5
0
x1
3
0
1
0
x1
2
0
2
3
1
0
x1
3
0
1
0
x1
3
5
1
0
0
x1
3
0
1
0
x1
3
1
5
0
0
0
x1
3
0
5
1
0
x1
3
1
5
2
0
0
x1
0
3
0
1
0
x1
2
0
0
3
1
0
x1
3
4
4
1
0
x1
3
1
1
4
4
0
x1
3
1
4
1
0
x1
3
1
2
1
4
0
x1
3
3
0
1
0
x1
3
1
2
0
3
0
x1
3
0
1
0
x1
3
1
1
0
0
x1
0
3
0
1
0
x1
0
0
3
3
1
0
x1
3
3
4
1
0
x1
3
1
2
4
3
0
x1
3
2
0
1
0
x1
2
0
3
1
1
0
x1
3
0
2
1
0
x1
2
3
1
5
0
0
x1
3
1
0
1
0
x1
3
1
1
1
0
0
x1
3
0
2
1
0
x1
2
0
3
1
1
0
x1
0
3
0
1
0
x1
0
0
3
1
3
0
x1
0
3
4
1
0
x1
0
2
0
4
3
1
x1
0
5
0
1
0
x1
0
0
0
1
5
2
x1
3
0
1
1
0
x1
3
1
0
1
2
0
x1
3
4
0
1
0
x1
3
2
0
4
1
0
x1
0
2
0
1
0
x1
0
2
0
0
3
1
x1
3
4
1
0
x1
3
1
4
2
0
2
x1
0
5
0
1
0
x1
0
0
1
5
1
0
x1
0
0
1
0
x1
0
2
0
4
1
0
x1
3
1
0
1
0
x1
0
0
x1
0
0
1
0
x1
3
1
x1
0
0
1
0
x1
0
3
1
x1
0
0
1
0
x1
0
0
3
1
x1
0
0
1
0
x1
0
2
0
0
3
1
x1
3
0
1
0
x1
3
0
0
x1
0
2
0
1
0
x1
3
1
x1
0
2
0
1
0
x1
0
3
1
x1
0
2
0
1
0
x1
0
0
3
1
x1
0
2
0
1
0
x1
0
0
0
3
1
x1
3
0
1
0
0
x1
3
0
0
0
x1
0
3
0
1
0
x1
3
3
1
0
x1
0
3
0
1
0
x1
0
3
3
1
0
x1
3
1
0
1
0
x1
0
0
x1
0
3
0
1
0
x1
3
0
x1
0
2
0
1
0
x1
3
1
x1
0
2
0
1
0
x1
0
3
1
x1
0
2
0
1
0
x1
0
0
3
1
x1
0
2
0
1
0
x1
0
2
0
0
3
1
x1
true
0
1
1
1
1
1
23975
4
1
26995
5
1
1
1
3
1
1
3020
0
1
26995
3
1
26996
2
1
26995
0
2
0
1
0
x1
0
2
0
0
3
1
x1
0
2
0
1
0
x1
0
0
3
1
x1
0
2
0
1
0
x1
0
3
1
x1
0
2
0
1
0
x1
3
1
x1
3
1
0
1
0
x1
0
0
x1
0
3
0
1
0
x1
0
3
3
1
0
x1
3
0
1
0
0
x1
3
0
0
0
x1
0
2
0
1
0
x1
0
0
0
3
1
x1
0
2
0
1
0
x1
0
0
3
1
x1
0
2
0
1
0
x1
0
3
1
x1
0
2
0
1
0
x1
3
1
x1
3
0
1
0
x1
3
0
0
x1
0
0
1
0
x1
0
2
0
0
3
1
x1
0
0
1
0
x1
0
0
3
1
x1
0
0
1
0
x1
0
3
1
x1
0
0
1
0
x1
3
1
x1
3
1
0
1
0
x1
0
0
x1
3
0
1
0
x1
3
2
2
1
0
0
x1
3
0
2
1
0
x1
3
1
2
0
5
0
x1
3
0
1
0
x1
0
2
3
1
0
x1
3
0
1
0
x1
3
1
5
1
0
0
x1
3
0
1
0
x1
3
1
5
0
0
x1
3
1
0
1
0
x1
3
1
2
1
0
0
x1
0
0
1
0
x1
0
2
0
0
3
1
x1
0
0
1
0
x1
2
0
0
0
2
1
x1
3
0
1
0
x1
3
1
5
2
0
0
x1
3
0
1
0
x1
5
1
1
3
0
0
x1
0
2
0
1
0
x1
2
0
0
0
3
1
x1
3
4
1
0
x1
3
1
1
5
4
0
x1
3
3
4
1
0
x1
3
1
4
3
1
0
x1
3
0
1
0
x1
3
5
1
0
0
2
x1
3
4
1
0
x1
3
4
2
1
1
0
x1
3
0
1
0
x1
3
1
5
5
0
0
x1
3
3
0
1
0
x1
3
1
2
3
0
0
x1
3
4
1
0
x1
3
1
2
1
4
0
x1
0
1
4
1
0
x1
0
1
1
4
0
2
x1
3
4
1
0
x1
3
1
2
4
0
x1
3
4
1
0
x1
3
1
2
5
4
0
x1
3
4
0
1
0
x1
3
1
4
0
0
2
x1
0
5
0
1
0
x1
0
2
0
0
1
5
x1
3
0
1
0
x1
3
1
0
0
2
x1
3
4
1
0
x1
3
4
5
1
2
0
x1
3
4
0
1
0
x1
0
2
4
1
3
0
x1
3
0
1
0
x1
5
0
3
1
0
x1
0
3
0
1
0
x1
0
0
3
5
1
0
x1
3
0
1
0
x1
3
1
2
0
0
x1
3
0
1
0
x1
3
5
1
5
0
0
x1
3
4
1
0
x1
3
4
2
1
0
x1
3
0
2
1
0
x1
3
1
2
0
1
0
x1
3
1
0
1
0
x1
2
0
3
1
1
0
x1
3
4
1
0
x1
3
1
5
4
0
2
x1
3
3
4
1
0
x1
3
1
3
4
0
2
x1
3
0
1
0
x1
3
1
5
0
2
0
x1
3
1
4
1
0
x1
3
1
5
1
4
0
x1
3
4
1
0
x1
3
1
5
5
4
0
x1
3
0
1
0
x1
2
2
0
3
1
0
x1
3
0
1
0
0
x1
3
1
3
0
0
0
x1
3
4
1
0
x1
3
1
4
0
2
x1
3
4
1
0
x1
3
1
5
4
0
x1
3
2
0
1
0
x1
0
2
3
1
5
0
x1
3
0
1
0
x1
2
0
2
3
1
0
x1
3
0
1
0
x1
3
5
1
0
0
x1
3
0
1
0
x1
3
1
5
0
0
0
x1
3
0
5
1
0
x1
3
1
5
2
0
0
x1
0
3
0
1
0
x1
2
0
0
3
1
0
x1
3
4
4
1
0
x1
3
1
1
4
4
0
x1
3
1
4
1
0
x1
3
1
2
1
4
0
x1
3
3
0
1
0
x1
3
1
2
0
3
0
x1
3
0
1
0
x1
3
1
1
0
0
x1
0
3
0
1
0
x1
0
0
3
3
1
0
x1
3
3
4
1
0
x1
3
1
2
4
3
0
x1
3
2
0
1
0
x1
2
0
3
1
1
0
x1
3
0
2
1
0
x1
2
3
1
5
0
0
x1
3
1
0
1
0
x1
3
1
1
1
0
0
x1
3
0
2
1
0
x1
2
0
3
1
1
0
x1
0
3
0
1
0
x1
0
0
3
1
3
0
x1
0
3
4
1
0
x1
0
2
0
4
3
1
x1
0
5
0
1
0
x1
0
0
0
1
5
2
x1
3
0
1
1
0
x1
3
1
0
1
2
0
x1
3
4
0
1
0
x1
3
2
0
4
1
0
x1
0
2
0
1
0
x1
0
2
0
0
3
1
x1
3
4
1
0
x1
3
1
4
2
0
2
x1
0
5
0
1
0
x1
0
0
1
5
1
0
x1
0
0
1
0
x1
0
2
0
4
1
0
x1
3
0
1
0
x1
3
0
0
x1
3
0
1
0
0
x1
3
0
0
0
x1
true
2
1
0
1
0
0
1
1
7480
12406
4
1
1
1
1
0
1
0
12405
5
1
1
0
3
1
0
0
0
1
1
1
0
0
1
0
1
0
0
1
1
12405
3
1
0
0
1
1
1
0
0
2
1
1
12406
3
0
1
0
x1
3
2
2
1
0
0
x1
3
0
2
1
0
x1
3
1
2
0
5
0
x1
3
0
1
0
x1
0
2
3
1
0
x1
3
0
1
0
x1
3
1
5
1
0
0
x1
3
0
1
0
x1
3
1
5
0
0
x1
3
1
0
1
0
x1
3
1
2
1
0
0
x1
0
0
1
0
x1
0
2
0
0
3
1
x1
0
0
1
0
x1
2
0
0
0
2
1
x1
3
0
1
0
x1
3
1
5
2
0
0
x1
3
0
1
0
x1
5
1
1
3
0
0
x1
0
2
0
1
0
x1
2
0
0
0
3
1
x1
3
4
1
0
x1
3
1
1
5
4
0
x1
3
3
4
1
0
x1
3
1
4
3
1
0
x1
3
0
1
0
x1
3
5
1
0
0
2
x1
3
4
1
0
x1
3
4
2
1
1
0
x1
3
0
1
0
x1
3
1
5
5
0
0
x1
3
3
0
1
0
x1
3
1
2
3
0
0
x1
3
4
1
0
x1
3
1
2
1
4
0
x1
0
1
4
1
0
x1
0
1
1
4
0
2
x1
3
4
1
0
x1
3
1
2
4
0
x1
3
4
1
0
x1
3
1
2
5
4
0
x1
3
4
0
1
0
x1
3
1
4
0
0
2
x1
0
5
0
1
0
x1
0
2
0
0
1
5
x1
3
0
1
0
x1
3
1
0
0
2
x1
3
4
1
0
x1
3
4
5
1
2
0
x1
3
4
0
1
0
x1
0
2
4
1
3
0
x1
3
0
1
0
x1
5
0
3
1
0
x1
0
3
0
1
0
x1
0
0
3
5
1
0
x1
3
0
1
0
x1
3
1
2
0
0
x1
3
0
1
0
x1
3
5
1
5
0
0
x1
3
4
1
0
x1
3
4
2
1
0
x1
3
0
2
1
0
x1
3
1
2
0
1
0
x1
3
1
0
1
0
x1
2
0
3
1
1
0
x1
3
4
1
0
x1
3
1
5
4
0
2
x1
3
3
4
1
0
x1
3
1
3
4
0
2
x1
3
0
1
0
x1
3
1
5
0
2
0
x1
3
1
4
1
0
x1
3
1
5
1
4
0
x1
3
4
1
0
x1
3
1
5
5
4
0
x1
3
0
1
0
x1
2
2
0
3
1
0
x1
3
0
1
0
0
x1
3
1
3
0
0
0
x1
3
4
1
0
x1
3
1
4
0
2
x1
3
4
1
0
x1
3
1
5
4
0
x1
3
2
0
1
0
x1
0
2
3
1
5
0
x1
3
0
1
0
x1
2
0
2
3
1
0
x1
3
0
1
0
x1
3
5
1
0
0
x1
3
0
1
0
x1
3
1
5
0
0
0
x1
3
0
5
1
0
x1
3
1
5
2
0
0
x1
0
3
0
1
0
x1
2
0
0
3
1
0
x1
3
4
4
1
0
x1
3
1
1
4
4
0
x1
3
1
4
1
0
x1
3
1
2
1
4
0
x1
3
3
0
1
0
x1
3
1
2
0
3
0
x1
3
0
1
0
x1
3
1
1
0
0
x1
0
3
0
1
0
x1
0
0
3
3
1
0
x1
3
3
4
1
0
x1
3
1
2
4
3
0
x1
3
2
0
1
0
x1
2
0
3
1
1
0
x1
3
0
2
1
0
x1
2
3
1
5
0
0
x1
3
1
0
1
0
x1
3
1
1
1
0
0
x1
3
0
2
1
0
x1
2
0
3
1
1
0
x1
0
3
0
1
0
x1
0
0
3
1
3
0
x1
0
3
4
1
0
x1
0
2
0
4
3
1
x1
0
5
0
1
0
x1
0
0
0
1
5
2
x1
3
0
1
1
0
x1
3
1
0
1
2
0
x1
3
4
0
1
0
x1
3
2
0
4
1
0
x1
0
2
0
1
0
x1
0
2
0
0
3
1
x1
3
4
1
0
x1
3
1
4
2
0
2
x1
0
5
0
1
0
x1
0
0
1
5
1
0
x1
0
0
1
0
x1
0
2
0
4
1
0
x1
3
1
0
1
0
x1
0
0
x1
0
0
1
0
x1
3
1
x1
0
0
1
0
x1
0
3
1
x1
0
0
1
0
x1
0
0
3
1
x1
0
0
1
0
x1
0
2
0
0
3
1
x1
0
2
0
1
0
x1
3
1
x1
0
2
0
1
0
x1
0
3
1
x1
0
2
0
1
0
x1
0
0
3
1
x1
0
2
0
1
0
x1
0
0
0
3
1
x1
0
3
0
1
0
x1
0
3
3
1
0
x1
3
1
0
1
0
x1
0
0
x1
0
2
0
1
0
x1
3
1
x1
0
2
0
1
0
x1
0
3
1
x1
0
2
0
1
0
x1
0
0
3
1
x1
0
2
0
1
0
x1
0
2
0
0
3
1
x1
true
2
1
0
1
0
0
1
0
1
0
0
1
1
0
0
1
0
1
77330
1
4
1
0
0
1
0
1
7756
7760
5
1
1
0
1
0
1
54998
1
3
1
0
0
1
0
1
10327
32667
0
1
1
1
0
1
1
1
22336
3
1
1
0
0
0
1
22338
0
2
1
0
1
0
0
1
1
2
0
3
0
1
0
x1
0
3
3
1
0
x1
3
0
1
0
x1
3
2
2
1
0
0
x1
3
0
2
1
0
x1
3
1
2
0
5
0
x1
3
0
1
0
x1
0
2
3
1
0
x1
3
0
1
0
x1
3
1
5
1
0
0
x1
3
0
1
0
x1
3
1
5
0
0
x1
3
1
0
1
0
x1
3
1
2
1
0
0
x1
0
0
1
0
x1
0
2
0
0
3
1
x1
0
0
1
0
x1
2
0
0
0
2
1
x1
3
0
1
0
x1
3
1
5
2
0
0
x1
3
0
1
0
x1
5
1
1
3
0
0
x1
0
2
0
1
0
x1
2
0
0
0
3
1
x1
3
4
1
0
x1
3
1
1
5
4
0
x1
3
3
4
1
0
x1
3
1
4
3
1
0
x1
3
0
1
0
x1
3
5
1
0
0
2
x1
3
4
1
0
x1
3
4
2
1
1
0
x1
3
0
1
0
x1
3
1
5
5
0
0
x1
3
3
0
1
0
x1
3
1
2
3
0
0
x1
3
4
1
0
x1
3
1
2
1
4
0
x1
0
1
4
1
0
x1
0
1
1
4
0
2
x1
3
4
1
0
x1
3
1
2
4
0
x1
3
4
1
0
x1
3
1
2
5
4
0
x1
3
4
0
1
0
x1
3
1
4
0
0
2
x1
0
5
0
1
0
x1
0
2
0
0
1
5
x1
3
0
1
0
x1
3
1
0
0
2
x1
3
4
1
0
x1
3
4
5
1
2
0
x1
3
4
0
1
0
x1
0
2
4
1
3
0
x1
3
0
1
0
x1
5
0
3
1
0
x1
0
3
0
1
0
x1
0
0
3
5
1
0
x1
3
0
1
0
x1
3
1
2
0
0
x1
3
0
1
0
x1
3
5
1
5
0
0
x1
3
4
1
0
x1
3
4
2
1
0
x1
3
0
2
1
0
x1
3
1
2
0
1
0
x1
3
1
0
1
0
x1
2
0
3
1
1
0
x1
3
4
1
0
x1
3
1
5
4
0
2
x1
3
3
4
1
0
x1
3
1
3
4
0
2
x1
3
0
1
0
x1
3
1
5
0
2
0
x1
3
1
4
1
0
x1
3
1
5
1
4
0
x1
3
4
1
0
x1
3
1
5
5
4
0
x1
3
0
1
0
x1
2
2
0
3
1
0
x1
3
0
1
0
0
x1
3
1
3
0
0
0
x1
3
4
1
0
x1
3
1
4
0
2
x1
3
4
1
0
x1
3
1
5
4
0
x1
3
2
0
1
0
x1
0
2
3
1
5
0
x1
3
0
1
0
x1
2
0
2
3
1
0
x1
3
0
1
0
x1
3
5
1
0
0
x1
3
0
1
0
x1
3
1
5
0
0
0
x1
3
0
5
1
0
x1
3
1
5
2
0
0
x1
0
3
0
1
0
x1
2
0
0
3
1
0
x1
3
4
4
1
0
x1
3
1
1
4
4
0
x1
3
1
4
1
0
x1
3
1
2
1
4
0
x1
3
3
0
1
0
x1
3
1
2
0
3
0
x1
3
0
1
0
x1
3
1
1
0
0
x1
0
3
0
1
0
x1
0
0
3
3
1
0
x1
3
3
4
1
0
x1
3
1
2
4
3
0
x1
3
2
0
1
0
x1
2
0
3
1
1
0
x1
3
0
2
1
0
x1
2
3
1
5
0
0
x1
3
1
0
1
0
x1
3
1
1
1
0
0
x1
3
0
2
1
0
x1
2
0
3
1
1
0
x1
0
3
0
1
0
x1
0
0
3
1
3
0
x1
0
3
4
1
0
x1
0
2
0
4
3
1
x1
0
5
0
1
0
x1
0
0
0
1
5
2
x1
3
0
1
1
0
x1
3
1
0
1
2
0
x1
3
4
0
1
0
x1
3
2
0
4
1
0
x1
0
2
0
1
0
x1
0
2
0
0
3
1
x1
3
4
1
0
x1
3
1
4
2
0
2
x1
0
5
0
1
0
x1
0
0
1
5
1
0
x1
0
0
1
0
x1
0
2
0
4
1
0
x1
0
3
0
1
0
x1
0
3
3
1
0
x1
true
0
1
1
26996
1
1
1
4
1
13260
5
1
1
12385
3
1
1
13259
0
1
26519
3
1
26996
2
1
13260
3
0
1
0
x1
3
2
2
1
0
0
x1
3
0
2
1
0
x1
3
1
2
0
5
0
x1
3
0
1
0
x1
0
2
3
1
0
x1
3
0
1
0
x1
3
1
5
1
0
0
x1
3
0
1
0
x1
3
1
5
0
0
x1
3
1
0
1
0
x1
3
1
2
1
0
0
x1
0
0
1
0
x1
0
2
0
0
3
1
x1
0
0
1
0
x1
2
0
0
0
2
1
x1
3
0
1
0
x1
3
1
5
2
0
0
x1
3
0
1
0
x1
5
1
1
3
0
0
x1
0
2
0
1
0
x1
2
0
0
0
3
1
x1
3
4
1
0
x1
3
1
1
5
4
0
x1
3
3
4
1
0
x1
3
1
4
3
1
0
x1
3
0
1
0
x1
3
5
1
0
0
2
x1
3
4
1
0
x1
3
4
2
1
1
0
x1
3
0
1
0
x1
3
1
5
5
0
0
x1
3
3
0
1
0
x1
3
1
2
3
0
0
x1
3
4
1
0
x1
3
1
2
1
4
0
x1
0
1
4
1
0
x1
0
1
1
4
0
2
x1
3
4
1
0
x1
3
1
2
4
0
x1
3
4
1
0
x1
3
1
2
5
4
0
x1
3
4
0
1
0
x1
3
1
4
0
0
2
x1
0
5
0
1
0
x1
0
2
0
0
1
5
x1
3
0
1
0
x1
3
1
0
0
2
x1
3
4
1
0
x1
3
4
5
1
2
0
x1
3
4
0
1
0
x1
0
2
4
1
3
0
x1
3
0
1
0
x1
5
0
3
1
0
x1
0
3
0
1
0
x1
0
0
3
5
1
0
x1
3
0
1
0
x1
3
1
2
0
0
x1
3
0
1
0
x1
3
5
1
5
0
0
x1
3
4
1
0
x1
3
4
2
1
0
x1
3
0
2
1
0
x1
3
1
2
0
1
0
x1
3
1
0
1
0
x1
2
0
3
1
1
0
x1
3
4
1
0
x1
3
1
5
4
0
2
x1
3
3
4
1
0
x1
3
1
3
4
0
2
x1
3
0
1
0
x1
3
1
5
0
2
0
x1
3
1
4
1
0
x1
3
1
5
1
4
0
x1
3
4
1
0
x1
3
1
5
5
4
0
x1
3
0
1
0
x1
2
2
0
3
1
0
x1
3
0
1
0
0
x1
3
1
3
0
0
0
x1
3
4
1
0
x1
3
1
4
0
2
x1
3
4
1
0
x1
3
1
5
4
0
x1
3
2
0
1
0
x1
0
2
3
1
5
0
x1
3
0
1
0
x1
2
0
2
3
1
0
x1
3
0
1
0
x1
3
5
1
0
0
x1
3
0
1
0
x1
3
1
5
0
0
0
x1
3
0
5
1
0
x1
3
1
5
2
0
0
x1
0
3
0
1
0
x1
2
0
0
3
1
0
x1
3
4
4
1
0
x1
3
1
1
4
4
0
x1
3
1
4
1
0
x1
3
1
2
1
4
0
x1
3
3
0
1
0
x1
3
1
2
0
3
0
x1
3
0
1
0
x1
3
1
1
0
0
x1
0
3
0
1
0
x1
0
0
3
3
1
0
x1
3
3
4
1
0
x1
3
1
2
4
3
0
x1
3
2
0
1
0
x1
2
0
3
1
1
0
x1
3
0
2
1
0
x1
2
3
1
5
0
0
x1
3
1
0
1
0
x1
3
1
1
1
0
0
x1
3
0
2
1
0
x1
2
0
3
1
1
0
x1
0
3
0
1
0
x1
0
0
3
1
3
0
x1
0
3
4
1
0
x1
0
2
0
4
3
1
x1
0
5
0
1
0
x1
0
0
0
1
5
2
x1
3
0
1
1
0
x1
3
1
0
1
2
0
x1
3
4
0
1
0
x1
3
2
0
4
1
0
x1
0
2
0
1
0
x1
0
2
0
0
3
1
x1
3
4
1
0
x1
3
1
4
2
0
2
x1
0
5
0
1
0
x1
0
0
1
5
1
0
x1
0
0
1
0
x1
0
2
0
4
1
0
x1
3
0
2
1
0
x1
0
1
0
x1
false
3
3
4
1
0
x1
3
4
0
2
x1
false
3
0
1
1
0
x1
3
1
0
1
2
0
x1
false
3
0
1
1
0
x1
0
1
2
0
x1
false
3
0
2
1
0
x1
0
3
1
1
0
x1
false
3
0
2
1
0
x1
3
1
1
0
x1
false
3
0
2
1
0
x1
3
1
5
0
0
x1
false
3
2
0
1
0
x1
0
3
1
1
0
x1
false
3
2
0
1
0
x1
3
1
1
0
x1
false
3
3
4
1
0
x1
3
1
2
4
3
0
x1
false
3
0
1
0
x1
3
1
1
0
0
x1
false
3
3
0
1
0
x1
3
1
2
0
3
0
x1
false
3
0
5
1
0
x1
3
1
5
2
0
0
x1
false
3
0
1
0
x1
3
1
5
0
0
0
x1
false
3
0
1
0
x1
3
5
1
0
0
x1
false
3
2
0
1
0
x1
0
2
3
1
5
0
x1
false
3
2
0
1
0
x1
3
1
5
0
x1
false
3
0
1
0
x1
3
1
5
0
2
0
x1
false
3
4
1
0
x1
3
1
4
2
0
2
x1
false
3
4
0
1
0
x1
3
2
0
4
1
0
x1
false
3
4
0
1
0
x1
0
4
1
0
x1
false
3
4
4
1
0
x1
3
1
1
4
4
0
x1
false
3
4
1
0
x1
3
1
5
4
0
x1
false
3
4
1
0
x1
3
1
4
0
2
x1
false
3
4
1
0
x1
3
1
5
5
4
0
x1
false
3
4
1
0
x1
3
1
5
4
0
2
x1
false
3
0
2
1
0
x1
3
1
2
0
1
0
x1
false
3
4
1
0
x1
3
4
2
1
0
x1
false
3
0
1
0
x1
3
5
1
5
0
0
x1
false
3
0
1
0
x1
3
1
2
0
0
x1
false
3
4
0
1
0
x1
0
2
4
1
3
0
x1
false
3
4
1
0
x1
3
4
5
1
2
0
x1
false
3
4
0
1
0
x1
3
1
4
0
0
2
x1
false
3
4
1
0
x1
3
1
2
5
4
0
x1
false
3
4
1
0
x1
3
1
2
4
0
x1
false
3
4
1
0
x1
3
1
2
1
4
0
x1
false
3
3
0
1
0
x1
3
1
2
3
0
0
x1
false
3
0
1
0
x1
3
1
5
5
0
0
x1
false
3
4
1
0
x1
3
4
2
1
1
0
x1
false
3
0
1
0
x1
3
5
1
0
0
2
x1
false
3
3
4
1
0
x1
3
1
4
3
1
0
x1
false
3
4
1
0
x1
3
1
1
5
4
0
x1
false
3
0
1
0
x1
3
1
5
2
0
0
x1
false
3
0
1
0
x1
3
1
5
0
0
x1
false
3
0
1
0
x1
3
1
5
1
0
0
x1
false
0
0
1
0
x1
0
2
0
4
1
0
x1
false
0
0
1
0
x1
0
4
1
0
x1
false
0
3
4
1
0
x1
0
2
0
4
3
1
x1
false
0
3
4
1
0
x1
0
4
3
1
x1
false
3
0
2
1
0
x1
3
1
2
0
5
0
x1
false
3
0
2
1
0
x1
0
5
0
x1
false
0
5
0
1
0
x1
0
0
1
5
1
0
x1
false
0
5
0
1
0
x1
0
1
5
1
0
x1
false
0
5
0
1
0
x1
0
0
0
1
5
2
x1
false
0
5
0
1
0
x1
0
0
1
5
2
x1
false
0
5
0
1
0
x1
0
1
5
2
x1
false
3
0
1
0
x1
3
2
2
1
0
0
x1
false
0
3
0
1
0
x1
0
0
3
5
1
0
x1
false
0
3
0
1
0
x1
0
3
5
1
0
x1
false
0
3
0
1
0
x1
3
5
1
0
x1
false
0
5
0
1
0
x1
0
2
0
0
1
5
x1
false
0
5
0
1
0
x1
0
0
1
5
x1
false
0
5
0
1
0
x1
0
1
5
x1
false
0
1
4
1
0
x1
0
1
1
4
0
2
x1
false
0
0
1
0
x1
0
0
0
2
1
x1
false
0
0
1
0
x1
0
0
2
1
x1
false
0
0
1
0
x1
0
2
1
x1
false
3
1
0
1
0
x1
3
1
1
1
0
0
x1
false
3
1
4
1
0
x1
3
1
2
1
4
0
x1
false
3
1
4
1
0
x1
3
1
5
1
4
0
x1
false
3
1
0
1
0
x1
0
3
1
1
0
x1
false
3
1
0
1
0
x1
3
1
1
0
x1
false
3
1
0
1
0
x1
3
1
2
1
0
0
x1
false
NaTT
certifiable-1.6