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