0
0
1
x1
0
0
2
1
2
x1
0
0
1
x1
0
0
3
1
4
x1
0
1
0
x1
0
0
1
2
4
x1
0
1
0
x1
2
1
2
0
0
x1
0
1
0
x1
0
0
1
2
2
4
x1
0
1
0
x1
0
0
2
4
1
4
x1
0
4
0
x1
3
4
3
2
0
0
x1
0
0
1
0
x1
0
0
0
1
4
x1
0
0
4
1
x1
0
0
2
1
4
x1
0
0
4
1
x1
0
0
2
1
4
3
x1
0
1
0
4
x1
0
0
3
4
1
2
x1
0
1
3
0
x1
0
0
3
1
4
x1
0
1
3
0
x1
0
3
0
1
2
x1
0
1
3
0
x1
0
0
1
3
2
5
x1
0
1
4
0
x1
0
2
0
3
1
4
x1
0
1
5
1
x1
2
1
1
4
5
0
x1
0
1
5
4
x1
1
2
4
2
5
0
x1
0
1
5
4
x1
4
1
0
3
2
5
x1
0
1
5
4
x1
5
0
2
4
1
4
x1
0
3
0
1
x1
0
0
3
1
2
2
x1
0
3
1
0
x1
0
0
3
1
4
x1
0
4
0
1
x1
0
0
2
1
4
x1
0
4
5
1
x1
1
2
4
2
5
0
x1
0
4
5
1
x1
3
1
4
5
0
2
x1
0
4
5
1
x1
3
2
5
1
4
0
x1
0
4
5
1
x1
5
3
0
5
1
4
x1
0
4
5
1
x1
5
5
0
5
1
4
x1
0
4
5
4
x1
5
2
4
4
0
4
x1
0
5
1
0
x1
0
0
5
1
2
x1
3
5
0
1
x1
3
0
2
1
2
5
x1
3
5
1
0
x1
0
5
1
3
2
x1
3
5
1
0
x1
2
1
2
0
5
3
x1
3
5
1
0
x1
3
1
2
2
0
5
x1
3
5
1
0
x1
5
1
3
2
0
2
x1
0
1
3
3
0
x1
3
3
2
0
0
1
x1
0
1
3
5
1
x1
1
1
3
4
5
0
x1
0
1
3
5
1
x1
1
1
5
0
3
3
x1
0
1
5
2
0
x1
5
0
3
1
0
2
x1
0
1
5
4
1
x1
5
3
4
1
0
1
x1
0
1
5
4
4
x1
4
5
2
1
4
0
x1
0
1
5
4
4
x1
5
0
4
3
4
1
x1
0
3
1
0
4
x1
0
0
3
1
2
4
x1
0
4
3
3
0
x1
0
2
3
4
0
3
x1
0
4
5
2
0
x1
0
2
2
5
0
4
x1
0
5
1
5
1
x1
5
5
3
0
1
1
x1
3
0
1
5
4
x1
0
5
3
4
1
2
x1
3
5
0
1
0
x1
5
1
2
0
0
3
x1
3
5
4
0
0
x1
5
0
3
0
4
4
x1
3
5
5
0
1
x1
5
5
0
3
1
2
x1
2.2
0
0
1
x1
0
3
1
4
x1
0
1
5
4
x1
0
x1
0
1
0
4
x1
3
4
1
2
x1
3
5
4
0
0
x1
0
4
4
x1
0
1
5
4
4
x1
0
x1
3
5
1
0
x1
3
2
0
2
x1
0
4
0
x1
3
4
3
2
0
0
x1
0
4
5
1
x1
0
x1
0
1
0
4
x1
0
3
4
1
2
x1
0
3
1
0
x1
0
3
1
4
x1
0
1
0
4
x1
0
0
3
4
1
2
x1
0
1
3
0
x1
3
0
1
2
x1
0
1
0
x1
0
1
2
4
x1
0
1
5
1
x1
0
x1
0
4
5
1
x1
0
5
1
4
x1
0
0
4
1
x1
3
x1
0
5
1
5
1
x1
3
0
1
1
x1
3
5
1
0
x1
3
2
x1
0
0
4
1
x1
0
0
2
1
4
3
x1
0
5
1
5
1
x1
0
1
1
x1
3
5
1
0
x1
0
5
x1
3
5
1
0
x1
3
1
2
2
0
5
x1
3
5
0
1
x1
0
2
1
2
5
x1
0
4
5
1
x1
3
2
5
1
4
0
x1
0
1
3
0
x1
0
1
2
x1
0
4
3
3
0
x1
0
3
x1
3
5
5
0
1
x1
0
3
1
2
x1
0
1
5
4
x1
3
2
5
x1
0
1
3
0
x1
0
1
3
2
5
x1
0
4
0
x1
3
2
0
0
x1
0
0
4
1
x1
0
2
1
4
x1
0
4
5
1
x1
3
0
5
1
4
x1
0
1
4
0
x1
3
1
4
x1
0
1
3
0
x1
3
1
4
x1
0
1
3
3
0
x1
0
1
x1
0
5
1
0
x1
0
5
1
2
x1
0
1
3
3
0
x1
3
2
0
0
1
x1
0
1
0
x1
0
0
1
2
4
x1
3
5
0
1
x1
3
0
2
1
2
5
x1
0
1
0
x1
0
0
1
2
2
4
x1
0
1
5
4
x1
0
3
2
5
x1
0
3
1
0
x1
0
0
3
1
4
x1
3
5
0
1
0
x1
0
0
3
x1
0
1
5
4
1
x1
0
1
x1
0
1
3
5
1
x1
3
x1
0
4
0
1
x1
0
0
2
1
4
x1
0
4
5
2
0
x1
0
2
2
5
0
4
x1
0
4
5
1
x1
0
2
x1
0
3
1
0
x1
3
1
4
x1
0
1
5
4
1
x1
3
4
1
0
1
x1
0
0
1
x1
0
2
1
2
x1
0
1
3
3
0
x1
0
0
1
x1
0
1
5
2
0
x1
3
1
0
2
x1
0
4
5
2
0
x1
0
4
x1
0
1
3
0
x1
3
2
5
x1
0
1
5
4
x1
0
2
4
1
4
x1
0
4
0
1
x1
0
2
1
4
x1
3
0
1
5
4
x1
0
5
3
4
1
2
x1
0
1
4
0
x1
0
3
1
4
x1
0
4
5
1
x1
0
x1
0
1
5
2
0
x1
0
3
1
0
2
x1
3
5
1
0
x1
0
5
1
3
2
x1
0
1
3
0
x1
0
0
3
1
4
x1
3
5
0
1
0
x1
0
3
x1
0
1
0
x1
0
0
x1
0
1
5
4
4
x1
3
4
1
x1
3
5
1
0
x1
3
x1
0
4
3
3
0
x1
3
x1
0
0
4
1
x1
0
0
2
1
4
x1
0
1
3
3
0
x1
3
3
2
0
0
1
x1
0
1
3
5
1
x1
3
4
5
0
x1
0
1
3
5
1
x1
0
x1
0
3
0
1
x1
0
3
1
2
2
x1
0
1
0
x1
0
0
2
4
1
4
x1
0
0
4
1
x1
0
2
1
4
3
x1
0
4
3
3
0
x1
3
4
0
3
x1
0
4
5
1
x1
3
1
4
5
0
2
x1
0
3
0
1
x1
3
1
2
2
x1
3
5
4
0
0
x1
3
0
4
4
x1
0
1
3
5
1
x1
3
3
x1
0
1
0
x1
0
2
4
1
4
x1
3
5
1
0
x1
0
2
x1
3
5
1
0
x1
0
5
3
x1
3
5
4
0
0
x1
0
3
0
4
4
x1
3
5
5
0
1
x1
3
1
2
x1
0
3
1
0
4
x1
0
3
1
2
4
x1
0
1
5
2
0
x1
0
2
x1
0
1
5
4
4
x1
0
4
3
4
1
x1
0
3
0
1
x1
0
0
3
1
2
2
x1
0
1
4
0
x1
0
2
0
3
1
4
x1
3
5
0
1
0
x1
3
x1
0
0
1
x1
0
0
2
1
2
x1
0
4
5
1
x1
0
5
1
4
x1
0
4
0
x1
0
0
x1
0
1
3
0
x1
0
3
0
1
2
x1
0
1
3
5
1
x1
0
3
3
x1
0
3
1
0
4
x1
0
0
3
1
2
4
x1
0
0
1
x1
3
1
4
x1
0
1
0
x1
0
1
2
2
4
x1
0
0
1
x1
0
0
3
1
4
x1
0
1
3
0
x1
0
0
1
3
2
5
x1
0
5
1
0
x1
0
0
5
1
2
x1
3
0
1
5
4
x1
3
4
1
2
x1
0
0
1
0
x1
0
0
0
1
4
x1
0
0
1
0
x1
0
0
1
4
x1
0
4
3
3
0
x1
0
2
3
4
0
3
x1
0
0
1
0
x1
0
1
4
x1
0
4
5
4
x1
0
4
x1
0
1
3
0
x1
0
3
1
4
x1
0
3
1
0
4
x1
3
1
2
4
x1
true
0
1
0
x1
0
0
x1
0
4
5
4
x1
0
4
x1
3
5
0
1
0
x1
0
3
x1
0
4
5
1
x1
0
x1
0
0
1
0
x1
0
0
1
4
x1
0
0
1
0
x1
0
0
0
1
4
x1
0
4
5
2
0
x1
0
4
x1
0
1
3
3
0
x1
0
0
1
x1
0
1
3
5
1
x1
3
x1
0
1
5
4
1
x1
0
1
x1
3
5
0
1
0
x1
0
0
3
x1
0
1
3
5
1
x1
0
3
3
x1
0
4
0
x1
0
0
x1
3
5
0
1
0
x1
3
x1
0
1
3
3
0
x1
0
1
x1
0
4
3
3
0
x1
0
3
x1
0
1
3
5
1
x1
3
3
x1
0
0
4
1
x1
3
x1
0
1
5
1
x1
0
x1
0
1
3
5
1
x1
0
x1
0
4
5
1
x1
0
x1
3
5
1
0
x1
3
x1
0
4
3
3
0
x1
3
x1
0
1
5
4
4
x1
0
x1
0
1
5
4
x1
0
x1
true
0
1
1
0
1
1
1
1
4
1
1
0
5
1
1
0
3
1
1
0
0
1
1
1
3
1
1
0
2
1
1
0
0
4
0
x1
0
0
x1
0
1
3
3
0
x1
0
0
1
x1
0
0
1
0
x1
0
0
0
1
4
x1
0
4
5
4
x1
0
4
x1
0
1
5
4
x1
4
1
0
3
2
5
x1
0
1
0
x1
2
1
2
0
0
x1
0
1
4
0
x1
0
2
0
3
1
4
x1
0
0
1
0
x1
0
0
0
1
4
x1
0
0
1
x1
0
0
2
1
2
x1
0
1
0
x1
0
0
1
2
4
x1
0
1
5
1
x1
2
1
1
4
5
0
x1
0
3
1
0
x1
0
0
3
1
4
x1
0
1
3
5
1
x1
1
1
3
4
5
0
x1
0
4
5
1
x1
5
3
0
5
1
4
x1
0
1
5
4
x1
5
0
2
4
1
4
x1
3
5
1
0
x1
2
1
2
0
5
3
x1
0
1
5
4
x1
1
2
4
2
5
0
x1
0
4
5
1
x1
5
5
0
5
1
4
x1
3
5
1
0
x1
5
1
3
2
0
2
x1
0
4
0
1
x1
0
0
2
1
4
x1
0
4
5
4
x1
5
2
4
4
0
4
x1
0
4
5
2
0
x1
0
2
2
5
0
4
x1
0
1
0
x1
0
0
1
2
2
4
x1
3
5
1
0
x1
3
1
2
2
0
5
x1
0
0
4
1
x1
0
0
2
1
4
3
x1
0
1
5
4
1
x1
5
3
4
1
0
1
x1
0
4
0
x1
3
4
3
2
0
0
x1
0
3
0
1
x1
0
0
3
1
2
2
x1
0
4
5
1
x1
3
2
5
1
4
0
x1
3
5
5
0
1
x1
5
5
0
3
1
2
x1
3
5
0
1
x1
3
0
2
1
2
5
x1
0
1
3
0
x1
0
0
1
3
2
5
x1
3
5
1
0
x1
0
5
1
3
2
x1
0
1
3
0
x1
0
0
3
1
4
x1
0
5
1
5
1
x1
5
5
3
0
1
1
x1
0
4
5
1
x1
1
2
4
2
5
0
x1
0
4
5
1
x1
3
1
4
5
0
2
x1
0
1
0
4
x1
0
0
3
4
1
2
x1
0
0
4
1
x1
0
0
2
1
4
x1
0
1
3
0
x1
0
3
0
1
2
x1
0
1
5
4
4
x1
4
5
2
1
4
0
x1
0
1
0
x1
0
0
2
4
1
4
x1
0
1
5
2
0
x1
5
0
3
1
0
2
x1
3
5
4
0
0
x1
5
0
3
0
4
4
x1
3
5
0
1
0
x1
5
1
2
0
0
3
x1
0
1
3
5
1
x1
1
1
5
0
3
3
x1
0
1
5
4
4
x1
5
0
4
3
4
1
x1
0
3
1
0
4
x1
0
0
3
1
2
4
x1
3
0
1
5
4
x1
0
5
3
4
1
2
x1
0
1
3
3
0
x1
3
3
2
0
0
1
x1
0
5
1
0
x1
0
0
5
1
2
x1
0
4
3
3
0
x1
0
2
3
4
0
3
x1
0
0
1
x1
0
0
3
1
4
x1
0
0
1
0
x1
0
0
0
1
4
x1
0
4
5
4
x1
0
4
x1
0
4
0
x1
0
0
x1
0
1
3
3
0
x1
0
0
1
x1
true
2
1
0
1
1
0
0
0
1
0
0
1
1
1
0
4
1
0
1
1
1
1
1
0
5
1
0
0
1
1
1
0
0
3
1
0
0
0
1
1
1
0
0
1
0
0
3
1
0
0
2
1
0
0
1
0
1
0
0
0
1
3
3
0
x1
0
0
1
x1
0
4
5
4
x1
0
4
x1
0
0
1
0
x1
0
0
0
1
4
x1
0
1
5
4
x1
4
1
0
3
2
5
x1
0
1
0
x1
2
1
2
0
0
x1
0
1
4
0
x1
0
2
0
3
1
4
x1
0
0
1
0
x1
0
0
0
1
4
x1
0
0
1
x1
0
0
2
1
2
x1
0
1
0
x1
0
0
1
2
4
x1
0
1
5
1
x1
2
1
1
4
5
0
x1
0
3
1
0
x1
0
0
3
1
4
x1
0
1
3
5
1
x1
1
1
3
4
5
0
x1
0
4
5
1
x1
5
3
0
5
1
4
x1
0
1
5
4
x1
5
0
2
4
1
4
x1
3
5
1
0
x1
2
1
2
0
5
3
x1
0
1
5
4
x1
1
2
4
2
5
0
x1
0
4
5
1
x1
5
5
0
5
1
4
x1
3
5
1
0
x1
5
1
3
2
0
2
x1
0
4
0
1
x1
0
0
2
1
4
x1
0
4
5
4
x1
5
2
4
4
0
4
x1
0
4
5
2
0
x1
0
2
2
5
0
4
x1
0
1
0
x1
0
0
1
2
2
4
x1
3
5
1
0
x1
3
1
2
2
0
5
x1
0
0
4
1
x1
0
0
2
1
4
3
x1
0
1
5
4
1
x1
5
3
4
1
0
1
x1
0
4
0
x1
3
4
3
2
0
0
x1
0
3
0
1
x1
0
0
3
1
2
2
x1
0
4
5
1
x1
3
2
5
1
4
0
x1
3
5
5
0
1
x1
5
5
0
3
1
2
x1
3
5
0
1
x1
3
0
2
1
2
5
x1
0
1
3
0
x1
0
0
1
3
2
5
x1
3
5
1
0
x1
0
5
1
3
2
x1
0
1
3
0
x1
0
0
3
1
4
x1
0
5
1
5
1
x1
5
5
3
0
1
1
x1
0
4
5
1
x1
1
2
4
2
5
0
x1
0
4
5
1
x1
3
1
4
5
0
2
x1
0
1
0
4
x1
0
0
3
4
1
2
x1
0
0
4
1
x1
0
0
2
1
4
x1
0
1
3
0
x1
0
3
0
1
2
x1
0
1
5
4
4
x1
4
5
2
1
4
0
x1
0
1
0
x1
0
0
2
4
1
4
x1
0
1
5
2
0
x1
5
0
3
1
0
2
x1
3
5
4
0
0
x1
5
0
3
0
4
4
x1
3
5
0
1
0
x1
5
1
2
0
0
3
x1
0
1
3
5
1
x1
1
1
5
0
3
3
x1
0
1
5
4
4
x1
5
0
4
3
4
1
x1
0
3
1
0
4
x1
0
0
3
1
2
4
x1
3
0
1
5
4
x1
0
5
3
4
1
2
x1
0
1
3
3
0
x1
3
3
2
0
0
1
x1
0
5
1
0
x1
0
0
5
1
2
x1
0
4
3
3
0
x1
0
2
3
4
0
3
x1
0
0
1
x1
0
0
3
1
4
x1
0
0
1
0
x1
0
0
0
1
4
x1
0
1
3
3
0
x1
0
0
1
x1
true
0
1
1
0
1
1
1
0
4
1
1769
5
1
65635
3
1
1
17648
0
1
65635
3
1
0
2
1
30339
0
0
1
0
x1
0
0
0
1
4
x1
0
1
5
4
x1
4
1
0
3
2
5
x1
0
1
0
x1
2
1
2
0
0
x1
0
1
4
0
x1
0
2
0
3
1
4
x1
0
0
1
0
x1
0
0
0
1
4
x1
0
0
1
x1
0
0
2
1
2
x1
0
1
0
x1
0
0
1
2
4
x1
0
1
5
1
x1
2
1
1
4
5
0
x1
0
3
1
0
x1
0
0
3
1
4
x1
0
1
3
5
1
x1
1
1
3
4
5
0
x1
0
4
5
1
x1
5
3
0
5
1
4
x1
0
1
5
4
x1
5
0
2
4
1
4
x1
3
5
1
0
x1
2
1
2
0
5
3
x1
0
1
5
4
x1
1
2
4
2
5
0
x1
0
4
5
1
x1
5
5
0
5
1
4
x1
3
5
1
0
x1
5
1
3
2
0
2
x1
0
4
0
1
x1
0
0
2
1
4
x1
0
4
5
4
x1
5
2
4
4
0
4
x1
0
4
5
2
0
x1
0
2
2
5
0
4
x1
0
1
0
x1
0
0
1
2
2
4
x1
3
5
1
0
x1
3
1
2
2
0
5
x1
0
0
4
1
x1
0
0
2
1
4
3
x1
0
1
5
4
1
x1
5
3
4
1
0
1
x1
0
4
0
x1
3
4
3
2
0
0
x1
0
3
0
1
x1
0
0
3
1
2
2
x1
0
4
5
1
x1
3
2
5
1
4
0
x1
3
5
5
0
1
x1
5
5
0
3
1
2
x1
3
5
0
1
x1
3
0
2
1
2
5
x1
0
1
3
0
x1
0
0
1
3
2
5
x1
3
5
1
0
x1
0
5
1
3
2
x1
0
1
3
0
x1
0
0
3
1
4
x1
0
5
1
5
1
x1
5
5
3
0
1
1
x1
0
4
5
1
x1
1
2
4
2
5
0
x1
0
4
5
1
x1
3
1
4
5
0
2
x1
0
1
0
4
x1
0
0
3
4
1
2
x1
0
0
4
1
x1
0
0
2
1
4
x1
0
1
3
0
x1
0
3
0
1
2
x1
0
1
5
4
4
x1
4
5
2
1
4
0
x1
0
1
0
x1
0
0
2
4
1
4
x1
0
1
5
2
0
x1
5
0
3
1
0
2
x1
3
5
4
0
0
x1
5
0
3
0
4
4
x1
3
5
0
1
0
x1
5
1
2
0
0
3
x1
0
1
3
5
1
x1
1
1
5
0
3
3
x1
0
1
5
4
4
x1
5
0
4
3
4
1
x1
0
3
1
0
4
x1
0
0
3
1
2
4
x1
3
0
1
5
4
x1
0
5
3
4
1
2
x1
0
1
3
3
0
x1
3
3
2
0
0
1
x1
0
5
1
0
x1
0
0
5
1
2
x1
0
4
3
3
0
x1
0
2
3
4
0
3
x1
0
0
1
x1
0
0
3
1
4
x1
0
0
1
0
x1
0
0
0
1
4
x1
true
2
1
0
1
0
0
1
0
1
0
0
1
1
1
1
0
0
1
0
32152
4
1
0
1
0
0
1
1
19225
5
1
0
1
0
0
1
32151
1
3
1
32151
32152
0
1
0
0
0
1
1
32151
0
3
1
0
0
2
1
19224
1
0
1
5
4
x1
4
1
0
3
2
5
x1
0
1
0
x1
2
1
2
0
0
x1
0
1
4
0
x1
0
2
0
3
1
4
x1
0
0
1
0
x1
0
0
0
1
4
x1
0
0
1
x1
0
0
2
1
2
x1
0
1
0
x1
0
0
1
2
4
x1
0
1
5
1
x1
2
1
1
4
5
0
x1
0
3
1
0
x1
0
0
3
1
4
x1
0
1
3
5
1
x1
1
1
3
4
5
0
x1
0
4
5
1
x1
5
3
0
5
1
4
x1
0
1
5
4
x1
5
0
2
4
1
4
x1
3
5
1
0
x1
2
1
2
0
5
3
x1
0
1
5
4
x1
1
2
4
2
5
0
x1
0
4
5
1
x1
5
5
0
5
1
4
x1
3
5
1
0
x1
5
1
3
2
0
2
x1
0
4
0
1
x1
0
0
2
1
4
x1
0
4
5
4
x1
5
2
4
4
0
4
x1
0
4
5
2
0
x1
0
2
2
5
0
4
x1
0
1
0
x1
0
0
1
2
2
4
x1
3
5
1
0
x1
3
1
2
2
0
5
x1
0
0
4
1
x1
0
0
2
1
4
3
x1
0
1
5
4
1
x1
5
3
4
1
0
1
x1
0
4
0
x1
3
4
3
2
0
0
x1
0
3
0
1
x1
0
0
3
1
2
2
x1
0
4
5
1
x1
3
2
5
1
4
0
x1
3
5
5
0
1
x1
5
5
0
3
1
2
x1
3
5
0
1
x1
3
0
2
1
2
5
x1
0
1
3
0
x1
0
0
1
3
2
5
x1
3
5
1
0
x1
0
5
1
3
2
x1
0
1
3
0
x1
0
0
3
1
4
x1
0
5
1
5
1
x1
5
5
3
0
1
1
x1
0
4
5
1
x1
1
2
4
2
5
0
x1
0
4
5
1
x1
3
1
4
5
0
2
x1
0
1
0
4
x1
0
0
3
4
1
2
x1
0
0
4
1
x1
0
0
2
1
4
x1
0
1
3
0
x1
0
3
0
1
2
x1
0
1
5
4
4
x1
4
5
2
1
4
0
x1
0
1
0
x1
0
0
2
4
1
4
x1
0
1
5
2
0
x1
5
0
3
1
0
2
x1
3
5
4
0
0
x1
5
0
3
0
4
4
x1
3
5
0
1
0
x1
5
1
2
0
0
3
x1
0
1
3
5
1
x1
1
1
5
0
3
3
x1
0
1
5
4
4
x1
5
0
4
3
4
1
x1
0
3
1
0
4
x1
0
0
3
1
2
4
x1
3
0
1
5
4
x1
0
5
3
4
1
2
x1
0
1
3
3
0
x1
3
3
2
0
0
1
x1
0
5
1
0
x1
0
0
5
1
2
x1
0
4
3
3
0
x1
0
2
3
4
0
3
x1
0
0
1
x1
0
0
3
1
4
x1
0
4
5
4
x1
0
4
x1
true
0
1
1
0
1
1
1
4
1
1
37929
5
1
1
0
3
1
37930
0
1
37930
3
1
0
2
1
1
0
1
5
4
x1
4
1
0
3
2
5
x1
0
1
0
x1
2
1
2
0
0
x1
0
1
4
0
x1
0
2
0
3
1
4
x1
0
0
1
0
x1
0
0
0
1
4
x1
0
0
1
x1
0
0
2
1
2
x1
0
1
0
x1
0
0
1
2
4
x1
0
1
5
1
x1
2
1
1
4
5
0
x1
0
3
1
0
x1
0
0
3
1
4
x1
0
1
3
5
1
x1
1
1
3
4
5
0
x1
0
4
5
1
x1
5
3
0
5
1
4
x1
0
1
5
4
x1
5
0
2
4
1
4
x1
3
5
1
0
x1
2
1
2
0
5
3
x1
0
1
5
4
x1
1
2
4
2
5
0
x1
0
4
5
1
x1
5
5
0
5
1
4
x1
3
5
1
0
x1
5
1
3
2
0
2
x1
0
4
0
1
x1
0
0
2
1
4
x1
0
4
5
4
x1
5
2
4
4
0
4
x1
0
4
5
2
0
x1
0
2
2
5
0
4
x1
0
1
0
x1
0
0
1
2
2
4
x1
3
5
1
0
x1
3
1
2
2
0
5
x1
0
0
4
1
x1
0
0
2
1
4
3
x1
0
1
5
4
1
x1
5
3
4
1
0
1
x1
0
4
0
x1
3
4
3
2
0
0
x1
0
3
0
1
x1
0
0
3
1
2
2
x1
0
4
5
1
x1
3
2
5
1
4
0
x1
3
5
5
0
1
x1
5
5
0
3
1
2
x1
3
5
0
1
x1
3
0
2
1
2
5
x1
0
1
3
0
x1
0
0
1
3
2
5
x1
3
5
1
0
x1
0
5
1
3
2
x1
0
1
3
0
x1
0
0
3
1
4
x1
0
5
1
5
1
x1
5
5
3
0
1
1
x1
0
4
5
1
x1
1
2
4
2
5
0
x1
0
4
5
1
x1
3
1
4
5
0
2
x1
0
1
0
4
x1
0
0
3
4
1
2
x1
0
0
4
1
x1
0
0
2
1
4
x1
0
1
3
0
x1
0
3
0
1
2
x1
0
1
5
4
4
x1
4
5
2
1
4
0
x1
0
1
0
x1
0
0
2
4
1
4
x1
0
1
5
2
0
x1
5
0
3
1
0
2
x1
3
5
4
0
0
x1
5
0
3
0
4
4
x1
3
5
0
1
0
x1
5
1
2
0
0
3
x1
0
1
3
5
1
x1
1
1
5
0
3
3
x1
0
1
5
4
4
x1
5
0
4
3
4
1
x1
0
3
1
0
4
x1
0
0
3
1
2
4
x1
3
0
1
5
4
x1
0
5
3
4
1
2
x1
0
1
3
3
0
x1
3
3
2
0
0
1
x1
0
5
1
0
x1
0
0
5
1
2
x1
0
4
3
3
0
x1
0
2
3
4
0
3
x1
0
0
1
x1
0
0
3
1
4
x1
0
4
3
3
0
x1
0
2
3
4
0
3
x1
false
0
4
3
3
0
x1
3
4
0
3
x1
false
0
1
3
3
0
x1
3
3
2
0
0
1
x1
false
0
1
3
3
0
x1
3
2
0
0
1
x1
false
0
3
1
0
4
x1
0
0
3
1
2
4
x1
false
0
3
1
0
4
x1
0
3
1
2
4
x1
false
0
3
1
0
4
x1
3
1
2
4
x1
false
0
1
5
4
4
x1
0
4
3
4
1
x1
false
3
0
1
5
4
x1
0
5
3
4
1
2
x1
false
3
0
1
5
4
x1
3
4
1
2
x1
false
0
1
5
2
0
x1
0
3
1
0
2
x1
false
0
1
5
2
0
x1
3
1
0
2
x1
false
0
1
5
2
0
x1
0
2
x1
false
0
1
0
x1
0
0
2
4
1
4
x1
false
0
1
0
x1
0
2
4
1
4
x1
false
0
0
4
1
x1
0
0
2
1
4
x1
false
0
0
4
1
x1
0
2
1
4
x1
false
0
4
5
1
x1
3
1
4
5
0
2
x1
false
0
4
5
1
x1
0
2
x1
false
0
4
5
1
x1
3
2
5
1
4
0
x1
false
0
4
0
x1
3
4
3
2
0
0
x1
false
0
4
0
x1
3
2
0
0
x1
false
0
1
3
0
x1
0
3
0
1
2
x1
false
0
3
0
1
x1
0
0
3
1
2
2
x1
false
0
3
0
1
x1
0
3
1
2
2
x1
false
0
3
0
1
x1
3
1
2
2
x1
false
0
1
3
0
x1
3
0
1
2
x1
false
0
1
3
0
x1
0
1
2
x1
false
0
1
0
4
x1
0
0
3
4
1
2
x1
false
0
1
0
4
x1
0
3
4
1
2
x1
false
0
1
3
0
x1
0
0
3
1
4
x1
false
0
1
3
0
x1
0
3
1
4
x1
false
0
1
3
0
x1
3
1
4
x1
false
0
1
3
0
x1
0
0
1
3
2
5
x1
false
0
1
3
0
x1
0
1
3
2
5
x1
false
0
1
3
0
x1
3
2
5
x1
false
0
1
5
4
1
x1
3
4
1
0
1
x1
false
0
0
4
1
x1
0
0
2
1
4
3
x1
false
0
0
4
1
x1
0
2
1
4
3
x1
false
3
5
4
0
0
x1
0
3
0
4
4
x1
false
3
5
4
0
0
x1
3
0
4
4
x1
false
3
5
4
0
0
x1
0
4
4
x1
false
3
5
1
0
x1
0
5
1
3
2
x1
false
3
5
1
0
x1
3
2
x1
false
3
5
0
1
x1
3
0
2
1
2
5
x1
false
3
5
0
1
x1
0
2
1
2
5
x1
false
3
5
5
0
1
x1
0
3
1
2
x1
false
3
5
5
0
1
x1
3
1
2
x1
false
3
5
1
0
x1
3
1
2
2
0
5
x1
false
3
5
1
0
x1
0
5
x1
false
3
5
1
0
x1
3
2
0
2
x1
false
3
5
1
0
x1
0
2
x1
false
3
5
1
0
x1
0
5
3
x1
false
0
5
1
0
x1
0
0
5
1
2
x1
false
0
5
1
0
x1
0
5
1
2
x1
false
0
5
1
5
1
x1
3
0
1
1
x1
false
0
5
1
5
1
x1
0
1
1
x1
false
0
1
0
x1
0
0
1
2
2
4
x1
false
0
1
0
x1
0
1
2
2
4
x1
false
0
4
5
2
0
x1
0
2
2
5
0
4
x1
false
0
4
0
1
x1
0
0
2
1
4
x1
false
0
4
0
1
x1
0
2
1
4
x1
false
0
4
5
1
x1
0
5
1
4
x1
false
0
1
5
4
x1
0
2
4
1
4
x1
false
0
4
5
1
x1
3
0
5
1
4
x1
false
0
4
5
1
x1
0
5
1
4
x1
false
0
1
3
5
1
x1
3
4
5
0
x1
false
0
3
1
0
x1
0
0
3
1
4
x1
false
0
3
1
0
x1
0
3
1
4
x1
false
0
3
1
0
x1
3
1
4
x1
false
0
1
0
x1
0
0
1
2
4
x1
false
0
0
1
x1
0
0
3
1
4
x1
false
0
0
1
x1
3
1
4
x1
false
0
1
0
x1
0
1
2
4
x1
false
0
0
1
x1
0
0
2
1
2
x1
false
0
0
1
x1
0
2
1
2
x1
false
0
0
1
0
x1
0
1
4
x1
false
0
1
4
0
x1
0
2
0
3
1
4
x1
false
0
1
4
0
x1
0
3
1
4
x1
false
0
1
4
0
x1
3
1
4
x1
false
0
1
5
4
x1
0
3
2
5
x1
false
0
1
5
4
x1
3
2
5
x1
false
0
1
0
4
x1
3
4
1
2
x1
false
0
0
1
x1
0
3
1
4
x1
false
0
1
5
4
4
x1
3
4
1
x1
false
NaTT
certifiable-1.6