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int32
[ 0, 7, 0, 0, 0, 0, 0, 0, 2, 9, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 7, 9, 6, 0, 3, 0, 0, 9, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 5, 7, 0, 0, 0, 4, 0, 1, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 5, 0, 3, 6, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 7, 6 ]
[ 6, 7, 4, 1, 9, 3, 8, 5, 2, 9, 2, 5, 8, 6, 4, 3, 1, 7, 1, 3, 8, 2, 5, 7, 9, 6, 4, 3, 5, 2, 9, 1, 6, 7, 4, 8, 4, 1, 9, 7, 2, 8, 6, 3, 5, 7, 8, 6, 3, 4, 5, 1, 2, 9, 2, 6, 7, 4, 8, 1, 5, 9, 3, 5, 4, 3, 6, 7, 9, 2, 8, 1, 8, 9, 1, 5, 3, 2, 4, 7, 6 ]
0
[ 0, 0, 0, 0, 1, 0, 0, 0, 6, 0, 0, 0, 3, 0, 4, 0, 0, 0, 0, 1, 6, 0, 0, 0, 9, 4, 0, 0, 0, 9, 8, 0, 3, 0, 0, 0, 0, 6, 0, 7, 0, 0, 1, 0, 9, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 8, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 3, 5, 0, 0, 0, 0, 1, 0, 7, 0 ]
[ 4, 8, 7, 5, 1, 9, 3, 2, 6, 9, 5, 2, 3, 6, 4, 7, 8, 1, 3, 1, 6, 2, 8, 7, 9, 4, 5, 1, 4, 9, 8, 5, 3, 2, 6, 7, 8, 6, 3, 7, 4, 2, 1, 5, 9, 2, 7, 5, 1, 9, 6, 4, 3, 8, 7, 9, 4, 6, 3, 8, 5, 1, 2, 6, 2, 1, 4, 7, 5, 8, 9, 3, 5, 3, 8, 9, 2, 1, 6, 7, 4 ]
1
[ 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 4, 1, 0, 0, 0, 7, 3, 0, 0, 6, 0, 5, 0, 4, 0, 0, 0, 0, 1, 6, 0, 9, 0, 0, 0, 0, 0, 3, 0, 0, 0, 6, 0, 0, 4, 0, 0, 0, 8, 0, 3, 0, 0, 0, 1, 0, 2, 0, 6, 0, 0, 8, 0, 8, 0, 0, 0, 0, 9, 0, 2, 6, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 1, 3, 8, 9, 4, 7, 2, 5, 6, 9, 5, 4, 1, 6, 2, 8, 7, 3, 2, 7, 6, 3, 5, 8, 4, 9, 1, 5, 2, 1, 6, 3, 9, 7, 8, 4, 8, 9, 3, 7, 2, 4, 6, 1, 5, 4, 6, 7, 5, 8, 1, 3, 2, 9, 3, 1, 9, 2, 7, 6, 5, 4, 8, 7, 8, 5, 4, 1, 3, 9, 6, 2, 6, 4, 2, 8, 9, 5, 1, 3, 7 ]
2
[ 0, 0, 0, 0, 2, 0, 0, 0, 0, 7, 1, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 4, 0, 0, 2, 0, 7, 0, 5, 0, 0, 8, 0, 0, 9, 0, 0, 2, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 4, 1, 0, 2, 5, 0, 6, 0, 0, 8, 0, 0, 4, 0, 8, 0, 0, 0, 2, 0, 3, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0 ]
[ 6, 4, 5, 8, 2, 7, 3, 1, 9, 7, 1, 2, 9, 6, 3, 5, 4, 8, 9, 3, 8, 4, 5, 1, 2, 6, 7, 1, 5, 7, 2, 8, 6, 4, 9, 3, 3, 2, 4, 1, 9, 5, 8, 7, 6, 8, 6, 9, 7, 3, 4, 1, 5, 2, 5, 9, 6, 3, 1, 8, 7, 2, 4, 4, 8, 1, 6, 7, 2, 9, 3, 5, 2, 7, 3, 5, 4, 9, 6, 8, 1 ]
3
[ 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 1, 8, 0, 0, 6, 0, 4, 0, 0, 0, 0, 6, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 1, 0, 3, 0, 0, 0, 0, 1, 0, 0, 6, 0, 9, 5, 0, 0, 0, 0, 7, 0, 0, 5, 2, 3, 0, 0, 7, 0, 0, 0, 0, 0, 2, 0, 9, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5 ]
[ 6, 8, 9, 5, 4, 2, 1, 3, 7, 5, 2, 7, 1, 8, 3, 4, 6, 9, 4, 3, 1, 7, 9, 6, 8, 5, 2, 2, 6, 8, 4, 7, 5, 9, 1, 3, 3, 7, 4, 9, 2, 1, 5, 8, 6, 1, 9, 5, 6, 3, 8, 2, 7, 4, 8, 5, 2, 3, 6, 4, 7, 9, 1, 7, 1, 6, 2, 5, 9, 3, 4, 8, 9, 4, 3, 8, 1, 7, 6, 2, 5 ]
4
[ 0, 0, 0, 7, 0, 0, 0, 0, 9, 0, 7, 6, 0, 0, 0, 0, 0, 8, 3, 0, 0, 9, 0, 0, 0, 2, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 9, 4, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 5, 7, 0, 3, 0, 8, 0, 0, 0, 0, 0, 6, 5, 0, 3, 0, 0 ]
[ 5, 4, 2, 7, 1, 8, 6, 3, 9, 9, 7, 6, 4, 2, 3, 5, 1, 8, 3, 1, 8, 9, 6, 5, 7, 2, 4, 2, 6, 4, 5, 7, 1, 9, 8, 3, 7, 8, 5, 3, 9, 4, 1, 6, 2, 1, 9, 3, 2, 8, 6, 4, 5, 7, 6, 3, 1, 8, 4, 9, 2, 7, 5, 4, 5, 7, 1, 3, 2, 8, 9, 6, 8, 2, 9, 6, 5, 7, 3, 4, 1 ]
5
[ 0, 0, 0, 0, 0, 4, 0, 0, 0, 5, 8, 0, 0, 0, 3, 0, 0, 0, 0, 2, 0, 0, 1, 0, 7, 0, 3, 0, 0, 0, 0, 7, 1, 3, 9, 0, 0, 0, 7, 0, 0, 0, 0, 0, 1, 9, 5, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 4, 0, 0, 0, 2, 0, 0, 0, 0, 0, 6, 0, 0, 0, 5, 8, 0, 0, 0, 0, 9, 0, 7, 0 ]
[ 1, 7, 3, 6, 2, 4, 9, 5, 8, 5, 8, 4, 7, 9, 3, 6, 1, 2, 6, 2, 9, 8, 1, 5, 7, 4, 3, 2, 6, 8, 5, 7, 1, 3, 9, 4, 3, 4, 7, 9, 8, 2, 5, 6, 1, 9, 5, 1, 3, 4, 6, 2, 8, 7, 7, 3, 6, 4, 5, 8, 1, 2, 9, 4, 9, 2, 1, 6, 7, 8, 3, 5, 8, 1, 5, 2, 3, 9, 4, 7, 6 ]
6
[ 0, 0, 0, 0, 0, 6, 0, 0, 5, 0, 0, 3, 0, 7, 0, 4, 0, 0, 0, 0, 1, 9, 0, 0, 3, 0, 0, 0, 4, 0, 0, 0, 2, 0, 3, 8, 0, 1, 5, 8, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 2, 0, 5, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 3, 9, 8, 0 ]
[ 4, 9, 7, 3, 2, 6, 8, 1, 5, 6, 8, 3, 1, 7, 5, 4, 2, 9, 5, 2, 1, 9, 4, 8, 3, 7, 6, 9, 4, 6, 5, 1, 2, 7, 3, 8, 7, 1, 5, 8, 3, 9, 2, 6, 4, 8, 3, 2, 7, 6, 4, 5, 9, 1, 3, 7, 8, 4, 9, 1, 6, 5, 2, 2, 5, 9, 6, 8, 7, 1, 4, 3, 1, 6, 4, 2, 5, 3, 9, 8, 7 ]
7
[ 0, 6, 0, 8, 0, 0, 0, 0, 5, 0, 8, 0, 0, 9, 3, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 4, 0, 0, 2, 0, 1, 0, 0, 0, 7, 0, 0, 0, 0, 4, 1, 6, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 8, 3, 0, 0, 0, 0, 4, 0, 7, 0, 0, 0, 0, 6, 2, 0, 0, 3, 0, 6, 0, 0, 0, 0, 0 ]
[ 9, 6, 1, 8, 2, 7, 3, 4, 5, 5, 8, 2, 4, 9, 3, 7, 1, 6, 3, 4, 7, 1, 5, 6, 2, 9, 8, 4, 5, 9, 2, 6, 1, 8, 3, 7, 7, 2, 3, 5, 8, 4, 1, 6, 9, 8, 1, 6, 7, 3, 9, 4, 5, 2, 6, 9, 8, 3, 1, 2, 5, 7, 4, 1, 7, 5, 9, 4, 8, 6, 2, 3, 2, 3, 4, 6, 7, 5, 9, 8, 1 ]
8
[ 0, 8, 0, 6, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 7, 0, 0, 3, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 5, 6, 0, 0, 0, 9, 0, 0, 2, 0, 0, 9, 2, 0, 0, 4, 5, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 6, 1, 0, 9, 0, 4, 2, 0, 0, 0, 3 ]
[ 2, 8, 9, 6, 1, 4, 3, 7, 5, 5, 4, 3, 8, 7, 2, 6, 1, 9, 1, 6, 7, 5, 9, 3, 8, 2, 4, 8, 7, 4, 2, 3, 1, 9, 5, 6, 3, 1, 5, 9, 6, 8, 2, 4, 7, 9, 2, 6, 7, 4, 5, 1, 3, 8, 7, 3, 8, 1, 5, 6, 4, 9, 2, 4, 5, 2, 3, 8, 9, 7, 6, 1, 6, 9, 1, 4, 2, 7, 5, 8, 3 ]
9
[ 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 2, 0, 0, 7, 4, 0, 2, 0, 9, 7, 0, 0, 0, 0, 5, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 1, 5, 0, 0, 2, 0, 0, 8, 0, 0, 0, 0, 0, 0, 4, 9, 4, 0, 0, 1, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 1, 0, 0, 0, 5, 3, 0, 8, 0 ]
[ 7, 1, 4, 8, 3, 5, 9, 2, 6, 9, 8, 5, 6, 2, 1, 3, 7, 4, 6, 2, 3, 9, 7, 4, 8, 1, 5, 5, 9, 2, 4, 6, 8, 7, 3, 1, 3, 4, 1, 5, 9, 7, 2, 6, 8, 8, 7, 6, 3, 1, 2, 5, 4, 9, 4, 3, 7, 1, 8, 9, 6, 5, 2, 2, 5, 8, 7, 4, 6, 1, 9, 3, 1, 6, 9, 2, 5, 3, 4, 8, 7 ]
10
[ 0, 4, 0, 0, 0, 5, 1, 0, 8, 6, 8, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 7, 0, 0, 0, 2, 0, 0, 4, 0, 0, 0, 0, 5, 0, 0, 6, 0, 1, 1, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 2, 0, 0, 1, 0, 0, 0, 3, 0, 0, 7, 9, 2, 0, 0, 0, 0, 5 ]
[ 3, 4, 2, 6, 7, 5, 1, 9, 8, 6, 8, 1, 3, 9, 4, 7, 5, 2, 5, 9, 7, 8, 1, 2, 3, 6, 4, 7, 6, 8, 9, 2, 1, 5, 4, 3, 9, 2, 4, 5, 3, 8, 6, 7, 1, 1, 3, 5, 7, 4, 6, 2, 8, 9, 8, 1, 3, 4, 5, 7, 9, 2, 6, 2, 5, 6, 1, 8, 9, 4, 3, 7, 4, 7, 9, 2, 6, 3, 8, 1, 5 ]
11
[ 0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 3, 0, 0, 1, 0, 0, 9, 0, 9, 0, 2, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 4, 7, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 8, 7, 1, 0, 0, 0, 0, 0, 0, 4, 8, 0, 0, 1, 0, 8, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0, 5, 0, 0, 0, 9, 0 ]
[ 2, 7, 8, 9, 6, 4, 3, 1, 5, 6, 5, 3, 8, 7, 1, 2, 4, 9, 4, 9, 1, 2, 5, 3, 6, 7, 8, 3, 1, 6, 4, 2, 5, 9, 8, 7, 8, 4, 7, 1, 3, 9, 5, 6, 2, 9, 2, 5, 6, 8, 7, 1, 3, 4, 5, 6, 9, 3, 4, 8, 7, 2, 1, 1, 8, 2, 7, 9, 6, 4, 5, 3, 7, 3, 4, 5, 1, 2, 8, 9, 6 ]
12
[ 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 6, 0, 0, 3, 0, 0, 0, 1, 9, 0, 0, 7, 0, 2, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 4, 7, 0, 0, 9, 2, 0, 4, 0, 3, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 2, 0, 0, 0, 5, 0, 0, 0, 6, 6, 0, 0, 0, 0, 9, 8, 1, 0 ]
[ 1, 3, 7, 6, 4, 8, 9, 5, 2, 8, 6, 2, 9, 3, 5, 4, 7, 1, 9, 5, 4, 7, 1, 2, 3, 6, 8, 5, 8, 3, 1, 9, 6, 2, 4, 7, 7, 1, 9, 2, 8, 4, 6, 3, 5, 4, 2, 6, 5, 7, 3, 1, 8, 9, 3, 9, 1, 8, 6, 7, 5, 2, 4, 2, 4, 8, 3, 5, 1, 7, 9, 6, 6, 7, 5, 4, 2, 9, 8, 1, 3 ]
13
[ 0, 3, 0, 0, 9, 0, 0, 0, 2, 6, 0, 0, 0, 2, 0, 0, 0, 7, 0, 0, 1, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 2, 5, 0, 0, 0, 5, 2, 0, 0, 0, 0, 8, 3, 0, 0, 0, 4, 3, 0, 0, 0, 0, 0, 8, 0, 9, 4, 0, 0, 0, 0, 0, 0, 5, 7, 0, 0, 8, 2, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0 ]
[ 7, 3, 8, 5, 9, 4, 1, 6, 2, 6, 9, 4, 8, 2, 1, 3, 5, 7, 5, 2, 1, 3, 6, 7, 4, 9, 8, 3, 7, 9, 6, 8, 2, 5, 4, 1, 4, 5, 2, 1, 7, 9, 6, 8, 3, 8, 1, 6, 4, 3, 5, 2, 7, 9, 2, 8, 3, 9, 4, 6, 7, 1, 5, 9, 4, 5, 7, 1, 3, 8, 2, 6, 1, 6, 7, 2, 5, 8, 9, 3, 4 ]
14
[ 0, 0, 6, 0, 0, 3, 0, 2, 0, 0, 8, 0, 0, 5, 0, 0, 0, 0, 4, 0, 0, 0, 0, 9, 0, 3, 0, 0, 0, 0, 0, 7, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 5, 6, 0, 0, 3, 7, 1, 0, 6, 0, 0, 0, 0, 7, 0, 3, 1, 0, 9, 0, 0, 0, 0, 1, 0, 0, 0, 2, 5, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0 ]
[ 9, 1, 6, 4, 8, 3, 7, 2, 5, 7, 8, 3, 2, 5, 1, 6, 4, 9, 4, 5, 2, 7, 6, 9, 1, 3, 8, 6, 2, 9, 5, 7, 8, 4, 1, 3, 1, 4, 8, 9, 3, 2, 5, 6, 7, 5, 3, 7, 1, 4, 6, 8, 9, 2, 2, 7, 5, 3, 1, 4, 9, 8, 6, 3, 6, 1, 8, 9, 7, 2, 5, 4, 8, 9, 4, 6, 2, 5, 3, 7, 1 ]
15
[ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 3, 7, 0, 0, 0, 8, 0, 0, 0, 8, 0, 2, 0, 3, 9, 0, 0, 0, 0, 2, 0, 0, 0, 0, 4, 0, 0, 0, 0, 7, 0, 2, 0, 9, 0, 0, 0, 4, 0, 8, 0, 0, 0, 5, 0, 0, 5, 0, 1, 0, 0, 2, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 4, 0, 0, 0, 9, 0, 5, 0 ]
[ 4, 6, 9, 1, 7, 8, 5, 3, 2, 2, 3, 7, 4, 9, 5, 8, 1, 6, 5, 8, 1, 2, 6, 3, 9, 7, 4, 9, 1, 2, 5, 3, 6, 7, 4, 8, 8, 5, 6, 7, 4, 2, 3, 9, 1, 3, 7, 4, 9, 8, 1, 2, 6, 5, 7, 9, 5, 8, 1, 4, 6, 2, 3, 1, 2, 3, 6, 5, 7, 4, 8, 9, 6, 4, 8, 3, 2, 9, 1, 5, 7 ]
16
[ 9, 0, 0, 3, 5, 0, 0, 7, 0, 4, 0, 0, 0, 0, 9, 0, 0, 6, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 8, 0, 1, 0, 0, 0, 0, 0, 7, 2, 0, 0, 4, 8, 0, 0, 9, 0, 0, 0, 3, 0, 0, 2, 7, 0, 0, 0, 0, 0, 1, 4, 0, 3, 0, 0, 0, 0, 4, 0, 0, 0 ]
[ 9, 1, 6, 3, 5, 2, 8, 7, 4, 4, 8, 5, 7, 1, 9, 2, 3, 6, 2, 7, 3, 4, 6, 8, 5, 1, 9, 8, 4, 9, 5, 3, 7, 6, 2, 1, 6, 5, 2, 8, 4, 1, 3, 9, 7, 1, 3, 7, 2, 9, 6, 4, 8, 5, 5, 9, 4, 1, 8, 3, 7, 6, 2, 7, 6, 8, 9, 2, 5, 1, 4, 3, 3, 2, 1, 6, 7, 4, 9, 5, 8 ]
17
[ 0, 2, 5, 0, 0, 0, 0, 4, 3, 0, 0, 0, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 0, 0, 0, 0, 3, 6, 0, 0, 0, 0, 2, 0, 8, 0, 0, 0, 0, 1, 0, 0, 9, 0, 0, 2, 0, 0, 0, 0, 7, 0, 5, 0, 0, 7, 0, 4, 2, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 4, 1, 6, 0, 0, 0, 0 ]
[ 1, 2, 5, 7, 8, 6, 9, 4, 3, 4, 9, 8, 3, 1, 5, 2, 7, 6, 3, 6, 7, 4, 9, 2, 5, 1, 8, 7, 4, 3, 6, 5, 1, 8, 9, 2, 5, 8, 2, 9, 3, 7, 1, 6, 4, 9, 1, 6, 2, 4, 8, 3, 5, 7, 6, 5, 1, 8, 7, 3, 4, 2, 9, 8, 7, 9, 5, 2, 4, 6, 3, 1, 2, 3, 4, 1, 6, 9, 7, 8, 5 ]
18
[ 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 5, 0, 0, 3, 0, 4, 9, 0, 3, 1, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 2, 0, 0, 7, 4, 0, 9, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 9, 0, 6, 0, 0, 9, 0, 0, 0, 2, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 7, 8, 0 ]
[ 6, 4, 5, 2, 3, 9, 8, 7, 1, 7, 1, 2, 5, 6, 8, 3, 9, 4, 9, 8, 3, 1, 4, 7, 5, 2, 6, 1, 5, 6, 9, 8, 2, 4, 3, 7, 4, 7, 9, 3, 1, 6, 2, 5, 8, 2, 3, 8, 4, 7, 5, 6, 1, 9, 5, 6, 7, 8, 9, 3, 1, 4, 2, 8, 2, 4, 7, 5, 1, 9, 6, 3, 3, 9, 1, 6, 2, 4, 7, 8, 5 ]
19
[ 0, 0, 0, 0, 0, 3, 0, 0, 5, 0, 0, 0, 0, 0, 0, 6, 2, 0, 3, 5, 0, 1, 2, 0, 0, 0, 0, 0, 0, 7, 0, 8, 0, 0, 5, 0, 2, 0, 0, 0, 5, 0, 0, 4, 0, 0, 9, 0, 0, 0, 6, 0, 0, 0, 0, 3, 0, 5, 0, 1, 8, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 4, 6, 0 ]
[ 8, 4, 2, 6, 9, 3, 7, 1, 5, 9, 7, 1, 8, 4, 5, 6, 2, 3, 3, 5, 6, 1, 2, 7, 9, 8, 4, 4, 6, 7, 3, 8, 2, 1, 5, 9, 2, 1, 8, 7, 5, 9, 3, 4, 6, 5, 9, 3, 4, 1, 6, 2, 7, 8, 6, 3, 4, 5, 7, 1, 8, 9, 2, 7, 8, 9, 2, 6, 4, 5, 3, 1, 1, 2, 5, 9, 3, 8, 4, 6, 7 ]
20
[ 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 4, 7, 0, 6, 0, 1, 0, 0, 8, 0, 3, 0, 0, 0, 0, 0, 0, 0, 2, 4, 0, 8, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 6, 0, 8, 1, 0, 0, 0, 0, 3, 0, 9, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 7, 0, 0, 4, 0, 0, 0, 0, 5, 0, 0, 0 ]
[ 7, 4, 2, 5, 9, 3, 8, 1, 6, 3, 8, 5, 1, 6, 2, 4, 7, 9, 6, 9, 1, 7, 4, 8, 5, 3, 2, 1, 7, 3, 6, 5, 9, 2, 4, 8, 8, 5, 4, 2, 3, 7, 6, 9, 1, 9, 2, 6, 4, 8, 1, 3, 5, 7, 2, 3, 8, 9, 7, 4, 1, 6, 5, 5, 1, 9, 3, 2, 6, 7, 8, 4, 4, 6, 7, 8, 1, 5, 9, 2, 3 ]
21
[ 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 1, 0, 2, 0, 4, 0, 5, 0, 8, 2, 0, 0, 0, 0, 0, 1, 0, 0, 6, 9, 5, 0, 0, 3, 0, 0, 3, 0, 0, 0, 7, 0, 4, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 4, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 4, 0, 8, 5, 0, 0, 6, 0, 0, 0, 1, 0, 0, 0, 3 ]
[ 5, 9, 6, 1, 8, 7, 2, 3, 4, 7, 1, 3, 2, 9, 4, 8, 5, 6, 8, 2, 4, 3, 5, 6, 7, 1, 9, 1, 6, 9, 5, 4, 2, 3, 7, 8, 3, 5, 8, 6, 7, 1, 4, 9, 2, 2, 4, 7, 8, 3, 9, 1, 6, 5, 4, 7, 5, 9, 2, 3, 6, 8, 1, 9, 3, 1, 4, 6, 8, 5, 2, 7, 6, 8, 2, 7, 1, 5, 9, 4, 3 ]
22
[ 0, 7, 0, 4, 0, 0, 0, 0, 8, 0, 8, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 3, 0, 9, 0, 0, 1, 0, 0, 0, 5, 0, 6, 8, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 7, 9, 0, 6, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 8, 0, 0, 6, 4, 9, 4, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 7, 9, 4, 6, 1, 3, 2, 8, 6, 8, 3, 7, 9, 2, 4, 5, 1, 4, 2, 1, 8, 3, 5, 9, 7, 6, 1, 3, 4, 9, 5, 7, 6, 8, 2, 8, 5, 6, 2, 1, 3, 7, 4, 9, 7, 9, 2, 6, 4, 8, 1, 3, 5, 2, 6, 8, 1, 7, 4, 5, 9, 3, 3, 1, 7, 5, 8, 9, 2, 6, 4, 9, 4, 5, 3, 2, 6, 8, 1, 7 ]
23
[ 0, 0, 9, 0, 0, 7, 0, 0, 0, 0, 8, 0, 0, 0, 9, 0, 1, 0, 0, 0, 6, 0, 0, 0, 5, 0, 7, 1, 0, 0, 3, 0, 5, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 1, 0, 0, 7, 0, 3, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 8, 9, 2, 0, 0, 0, 6, 0, 0, 7, 0, 0, 8, 0, 4, 0 ]
[ 5, 1, 9, 4, 6, 7, 8, 3, 2, 7, 8, 2, 5, 3, 9, 6, 1, 4, 3, 4, 6, 8, 1, 2, 5, 9, 7, 1, 2, 4, 3, 7, 5, 9, 6, 8, 8, 7, 3, 2, 9, 6, 4, 5, 1, 6, 9, 5, 1, 8, 4, 7, 2, 3, 9, 6, 1, 7, 4, 3, 2, 8, 5, 4, 5, 8, 9, 2, 1, 3, 7, 6, 2, 3, 7, 6, 5, 8, 1, 4, 9 ]
24
[ 0, 0, 0, 6, 0, 0, 0, 4, 9, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 9, 7, 1, 0, 0, 0, 0, 6, 0, 1, 0, 0, 5, 0, 3, 0, 2, 0, 0, 3, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 7, 0, 0, 5, 0, 6, 0, 0, 0, 0, 5, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 7, 0, 0, 7, 4, 0, 1, 0, 0, 0, 0 ]
[ 1, 5, 2, 6, 8, 3, 7, 4, 9, 4, 6, 8, 5, 9, 7, 2, 1, 3, 3, 9, 7, 1, 4, 2, 5, 8, 6, 7, 1, 9, 8, 5, 4, 3, 6, 2, 5, 4, 3, 2, 6, 1, 8, 9, 7, 8, 2, 6, 3, 7, 9, 4, 5, 1, 6, 8, 1, 7, 3, 5, 9, 2, 4, 9, 3, 5, 4, 2, 6, 1, 7, 8, 2, 7, 4, 9, 1, 8, 6, 3, 5 ]
25
[ 2, 0, 0, 9, 0, 0, 0, 5, 0, 0, 0, 0, 7, 0, 0, 9, 0, 0, 0, 6, 7, 0, 0, 0, 4, 0, 0, 0, 0, 0, 6, 8, 0, 0, 0, 2, 0, 7, 8, 0, 2, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 4, 0, 9, 3, 5, 0, 0, 1, 0, 0, 5, 0, 0, 7, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0 ]
[ 2, 4, 1, 9, 6, 8, 3, 5, 7, 8, 5, 3, 7, 1, 4, 9, 2, 6, 9, 6, 7, 3, 5, 2, 4, 1, 8, 4, 9, 5, 6, 8, 7, 1, 3, 2, 3, 7, 8, 1, 2, 5, 6, 9, 4, 6, 1, 2, 4, 3, 9, 8, 7, 5, 7, 8, 4, 2, 9, 3, 5, 6, 1, 1, 2, 9, 5, 4, 6, 7, 8, 3, 5, 3, 6, 8, 7, 1, 2, 4, 9 ]
26
[ 0, 2, 0, 1, 0, 0, 6, 0, 0, 0, 0, 9, 0, 0, 0, 0, 3, 0, 0, 1, 0, 5, 0, 0, 0, 0, 8, 0, 0, 4, 0, 1, 0, 0, 0, 0, 7, 8, 0, 0, 0, 0, 0, 1, 4, 0, 0, 0, 8, 0, 9, 0, 0, 0, 0, 0, 0, 9, 0, 5, 0, 0, 7, 1, 0, 7, 0, 0, 2, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6 ]
[ 4, 2, 8, 1, 3, 7, 6, 9, 5, 5, 7, 9, 6, 2, 8, 4, 3, 1, 6, 1, 3, 5, 9, 4, 2, 7, 8, 9, 3, 4, 7, 1, 6, 8, 5, 2, 7, 8, 6, 2, 5, 3, 9, 1, 4, 2, 5, 1, 8, 4, 9, 7, 6, 3, 3, 4, 2, 9, 6, 5, 1, 8, 7, 1, 6, 7, 3, 8, 2, 5, 4, 9, 8, 9, 5, 4, 7, 1, 3, 2, 6 ]
27
[ 0, 0, 0, 0, 0, 0, 9, 0, 4, 0, 0, 0, 0, 0, 8, 0, 2, 0, 0, 2, 8, 4, 7, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 2, 7, 1, 0, 0, 0, 0, 7, 0, 0, 0, 6, 0, 9, 0, 3, 0, 0, 0, 9, 0, 0, 0, 0, 0, 4, 2, 0, 0, 0, 0, 6, 5, 0, 0, 1, 0, 0, 0, 0, 2 ]
[ 7, 5, 3, 6, 1, 2, 9, 8, 4, 4, 6, 1, 3, 9, 8, 5, 2, 7, 9, 2, 8, 4, 7, 5, 3, 6, 1, 3, 1, 5, 9, 4, 6, 2, 7, 8, 6, 8, 9, 5, 2, 7, 1, 4, 3, 2, 4, 7, 8, 3, 1, 6, 5, 9, 8, 3, 2, 7, 6, 9, 4, 1, 5, 1, 7, 4, 2, 5, 3, 8, 9, 6, 5, 9, 6, 1, 8, 4, 7, 3, 2 ]
28
[ 0, 3, 0, 0, 0, 4, 5, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 8, 5, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 9, 0, 0, 6, 0, 0, 0, 0, 2, 0, 7, 1, 9, 0, 0, 4, 0, 0, 7, 0, 0, 0, 9, 0, 0, 0, 3, 6, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 6, 8, 0 ]
[ 2, 3, 9, 8, 7, 4, 5, 6, 1, 4, 1, 7, 5, 6, 9, 3, 2, 8, 8, 5, 6, 2, 1, 3, 9, 7, 4, 5, 6, 2, 3, 4, 7, 8, 1, 9, 9, 4, 8, 6, 5, 1, 7, 3, 2, 3, 7, 1, 9, 8, 2, 4, 5, 6, 7, 8, 5, 1, 9, 6, 2, 4, 3, 6, 2, 4, 7, 3, 8, 1, 9, 5, 1, 9, 3, 4, 2, 5, 6, 8, 7 ]
29
[ 0, 0, 4, 3, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 4, 9, 0, 0, 0, 3, 0, 7, 0, 0, 0, 2, 0, 0, 7, 4, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 3, 0, 7, 0, 0, 8, 0, 0, 0, 2, 0, 0, 0, 8, 1, 4, 0, 0, 1, 9, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0 ]
[ 8, 6, 4, 3, 2, 9, 5, 7, 1, 2, 7, 5, 8, 6, 1, 4, 9, 3, 1, 9, 3, 5, 7, 4, 6, 8, 2, 9, 8, 7, 4, 1, 5, 3, 2, 6, 6, 4, 1, 2, 8, 3, 9, 5, 7, 5, 3, 2, 7, 9, 6, 8, 1, 4, 7, 2, 6, 9, 3, 8, 1, 4, 5, 4, 1, 9, 6, 5, 2, 7, 3, 8, 3, 5, 8, 1, 4, 7, 2, 6, 9 ]
30
[ 0, 9, 0, 0, 0, 0, 1, 0, 0, 3, 0, 0, 0, 0, 8, 0, 4, 0, 8, 0, 0, 0, 0, 2, 0, 0, 7, 0, 0, 0, 2, 0, 9, 0, 0, 6, 0, 6, 8, 3, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 9, 0, 7, 0, 0, 0, 7, 0, 6, 0, 0, 0, 8, 0, 5, 0, 5, 0, 0, 8, 0, 0, 0, 0 ]
[ 6, 9, 2, 7, 3, 4, 1, 5, 8, 3, 7, 5, 6, 1, 8, 9, 4, 2, 8, 1, 4, 5, 9, 2, 6, 3, 7, 5, 3, 1, 2, 4, 9, 7, 8, 6, 4, 6, 8, 3, 7, 1, 5, 2, 9, 9, 2, 7, 8, 6, 5, 3, 1, 4, 2, 8, 3, 9, 5, 7, 4, 6, 1, 7, 4, 6, 1, 2, 3, 8, 9, 5, 1, 5, 9, 4, 8, 6, 2, 7, 3 ]
31
[ 0, 0, 7, 5, 0, 0, 0, 2, 0, 4, 0, 0, 0, 0, 0, 0, 0, 3, 0, 8, 0, 1, 0, 0, 0, 5, 0, 6, 0, 0, 0, 2, 0, 5, 0, 9, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 3, 1, 0, 0, 0, 0, 0, 0, 0, 8, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 6, 5, 6, 0, 0, 0, 0, 9, 8, 0 ]
[ 3, 1, 7, 5, 9, 4, 6, 2, 8, 4, 5, 6, 7, 8, 2, 1, 9, 3, 9, 8, 2, 1, 6, 3, 7, 5, 4, 6, 3, 1, 4, 2, 8, 5, 7, 9, 2, 7, 4, 6, 5, 9, 8, 3, 1, 8, 9, 5, 3, 1, 7, 4, 6, 2, 7, 4, 9, 8, 3, 6, 2, 1, 5, 1, 2, 8, 9, 7, 5, 3, 4, 6, 5, 6, 3, 2, 4, 1, 9, 8, 7 ]
32
[ 0, 0, 8, 1, 6, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 1, 0, 4, 0, 0, 0, 3, 0, 0, 9, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 5, 0, 0, 4, 0, 0, 4, 8, 0, 0, 2, 9, 0, 8, 0, 0, 7, 1, 0, 0, 3, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 7, 6 ]
[ 7, 5, 8, 1, 6, 9, 3, 4, 2, 6, 3, 9, 2, 4, 7, 8, 5, 1, 1, 4, 2, 5, 8, 3, 7, 6, 9, 9, 8, 3, 6, 2, 4, 5, 1, 7, 2, 7, 1, 9, 3, 5, 6, 8, 4, 5, 6, 4, 8, 7, 1, 2, 9, 3, 8, 9, 6, 7, 1, 2, 4, 3, 5, 4, 1, 7, 3, 5, 6, 9, 2, 8, 3, 2, 5, 4, 9, 8, 1, 7, 6 ]
33
[ 0, 3, 0, 0, 0, 1, 0, 7, 2, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 9, 1, 0, 0, 0, 0, 0, 6, 0, 0, 8, 0, 4, 9, 4, 0, 3, 0, 0, 0, 0, 6, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 6, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 9, 0, 0, 8, 9, 0, 0, 0, 3, 0, 0, 0 ]
[ 4, 3, 9, 5, 8, 1, 6, 7, 2, 7, 8, 1, 2, 3, 6, 4, 5, 9, 6, 2, 5, 7, 4, 9, 1, 8, 3, 2, 1, 3, 6, 7, 5, 8, 9, 4, 9, 4, 7, 3, 2, 8, 5, 1, 6, 5, 6, 8, 1, 9, 4, 3, 2, 7, 3, 5, 6, 9, 1, 7, 2, 4, 8, 1, 7, 4, 8, 6, 2, 9, 3, 5, 8, 9, 2, 4, 5, 3, 7, 6, 1 ]
34
[ 3, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 7, 0, 0, 0, 8, 0, 7, 2, 6, 0, 0, 9, 0, 0, 0, 6, 0, 8, 0, 0, 8, 0, 0, 1, 0, 0, 5, 0, 0, 0, 0, 4, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 1, 0, 0, 0, 9, 3, 0, 0, 0, 2, 0, 0, 0, 5, 0, 0, 7, 0, 0, 8, 0, 2 ]
[ 3, 6, 7, 1, 2, 4, 5, 9, 8, 1, 2, 8, 9, 6, 5, 3, 4, 7, 4, 5, 9, 8, 3, 7, 2, 6, 1, 7, 9, 3, 2, 5, 6, 1, 8, 4, 2, 8, 4, 3, 1, 9, 7, 5, 6, 6, 1, 5, 4, 7, 8, 9, 2, 3, 8, 7, 2, 5, 4, 1, 6, 3, 9, 9, 3, 1, 6, 8, 2, 4, 7, 5, 5, 4, 6, 7, 9, 3, 8, 1, 2 ]
35
[ 7, 8, 0, 0, 0, 0, 0, 6, 3, 0, 0, 0, 7, 0, 0, 8, 0, 0, 0, 0, 0, 0, 3, 4, 0, 0, 0, 2, 0, 0, 0, 0, 0, 4, 0, 0, 0, 3, 0, 0, 5, 0, 0, 0, 7, 0, 0, 9, 0, 7, 0, 0, 0, 1, 8, 0, 0, 0, 0, 1, 6, 7, 0, 0, 6, 0, 0, 4, 5, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0 ]
[ 7, 8, 4, 5, 1, 2, 9, 6, 3, 5, 1, 3, 7, 6, 9, 8, 4, 2, 9, 2, 6, 8, 3, 4, 7, 1, 5, 2, 7, 8, 1, 9, 3, 4, 5, 6, 6, 3, 1, 4, 5, 8, 2, 9, 7, 4, 5, 9, 2, 7, 6, 3, 8, 1, 8, 4, 5, 3, 2, 1, 6, 7, 9, 3, 6, 7, 9, 4, 5, 1, 2, 8, 1, 9, 2, 6, 8, 7, 5, 3, 4 ]
36
[ 2, 0, 0, 0, 0, 9, 0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 1, 0, 6, 1, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 7, 0, 6, 0, 1, 7, 4, 0, 0, 2, 0, 0, 3, 0, 0, 0, 1, 0, 0, 0, 9, 0, 0, 4, 0, 9, 0, 8, 5, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0 ]
[ 2, 4, 3, 1, 5, 9, 6, 7, 8, 7, 9, 5, 6, 8, 2, 3, 4, 1, 8, 6, 1, 7, 4, 3, 9, 2, 5, 6, 3, 2, 9, 7, 1, 5, 8, 4, 4, 8, 9, 2, 3, 5, 7, 1, 6, 5, 1, 7, 4, 6, 8, 2, 9, 3, 3, 2, 8, 5, 1, 7, 4, 6, 9, 1, 7, 4, 3, 9, 6, 8, 5, 2, 9, 5, 6, 8, 2, 4, 1, 3, 7 ]
37
[ 0, 1, 0, 2, 3, 0, 0, 0, 0, 7, 0, 0, 0, 0, 4, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0, 2, 0, 0, 7, 0, 1, 0, 0, 9, 0, 6, 0, 2, 0, 0, 0, 5, 0, 7, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 8, 2, 0, 4, 0, 0, 0, 0, 4, 0, 0, 0, 8, 3, 0 ]
[ 5, 1, 8, 2, 3, 9, 7, 6, 4, 7, 6, 2, 5, 1, 4, 3, 9, 8, 4, 9, 3, 6, 7, 8, 5, 2, 1, 3, 7, 5, 1, 8, 2, 9, 4, 6, 8, 2, 6, 9, 4, 5, 1, 7, 3, 1, 4, 9, 3, 6, 7, 2, 8, 5, 2, 8, 7, 4, 5, 3, 6, 1, 9, 9, 3, 1, 8, 2, 6, 4, 5, 7, 6, 5, 4, 7, 9, 1, 8, 3, 2 ]
38
[ 0, 0, 7, 0, 4, 5, 1, 0, 0, 0, 4, 0, 0, 0, 0, 3, 6, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 2, 0, 0, 0, 0, 0, 7, 0, 0, 0, 5, 0, 7, 5, 2, 0, 4, 0, 0, 0, 8, 0, 0, 1, 0, 0, 0, 5, 0, 0, 2, 0, 5, 0, 0, 0, 3, 0, 0, 0, 9, 0, 6, 0, 0, 0, 0 ]
[ 3, 6, 7, 8, 4, 5, 1, 9, 2, 5, 4, 2, 7, 1, 9, 3, 6, 8, 9, 8, 1, 6, 3, 2, 5, 7, 4, 4, 9, 8, 3, 5, 1, 6, 2, 7, 2, 1, 3, 9, 7, 6, 8, 4, 5, 6, 7, 5, 2, 8, 4, 9, 1, 3, 8, 3, 6, 1, 2, 7, 4, 5, 9, 1, 2, 4, 5, 9, 8, 7, 3, 6, 7, 5, 9, 4, 6, 3, 2, 8, 1 ]
39
[ 0, 0, 0, 1, 0, 3, 0, 0, 0, 1, 0, 6, 0, 0, 0, 7, 5, 0, 0, 5, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 3, 0, 2, 0, 6, 0, 0, 6, 7, 0, 0, 8, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 3, 0, 0, 0, 0, 4, 0, 0, 7, 0, 0, 2, 0, 0, 0, 1, 0, 8, 0, 0, 7, 0, 0, 0, 0, 9 ]
[ 2, 7, 8, 1, 5, 3, 9, 4, 6, 1, 9, 6, 8, 2, 4, 7, 5, 3, 4, 5, 3, 6, 7, 9, 2, 8, 1, 5, 8, 4, 3, 9, 2, 1, 6, 7, 9, 6, 7, 4, 1, 8, 5, 3, 2, 3, 2, 1, 5, 6, 7, 8, 9, 4, 6, 3, 2, 9, 8, 1, 4, 7, 5, 7, 4, 9, 2, 3, 5, 6, 1, 8, 8, 1, 5, 7, 4, 6, 3, 2, 9 ]
40
[ 0, 6, 0, 0, 0, 3, 0, 4, 0, 0, 4, 0, 5, 0, 0, 0, 9, 0, 0, 0, 1, 0, 7, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 4, 0, 2, 0, 8, 0, 0, 0, 6, 0, 0, 0, 2, 0, 0, 0, 1, 9, 2, 5, 0, 8, 4, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 1 ]
[ 8, 6, 5, 9, 1, 3, 7, 4, 2, 3, 4, 7, 5, 2, 6, 1, 9, 8, 9, 2, 1, 4, 7, 8, 6, 3, 5, 5, 1, 9, 3, 6, 7, 2, 8, 4, 4, 3, 2, 1, 8, 9, 5, 7, 6, 7, 8, 6, 2, 5, 4, 3, 1, 9, 2, 5, 3, 8, 4, 1, 9, 6, 7, 1, 7, 8, 6, 9, 5, 4, 2, 3, 6, 9, 4, 7, 3, 2, 8, 5, 1 ]
41
[ 0, 0, 0, 0, 0, 0, 0, 1, 4, 0, 6, 2, 0, 4, 3, 0, 0, 0, 0, 0, 0, 2, 0, 0, 6, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 2, 0, 3, 0, 6, 0, 5, 0, 0, 0, 3, 0, 0, 0, 0, 7, 1, 9, 0, 0, 0, 5, 0, 0, 0, 6, 0, 0, 4, 0, 6, 0, 0, 0, 7, 0, 8, 0, 1, 0, 0, 0, 0, 0 ]
[ 3, 9, 8, 6, 7, 5, 2, 1, 4, 1, 6, 2, 9, 4, 3, 7, 8, 5, 4, 7, 5, 2, 8, 1, 6, 9, 3, 8, 5, 9, 7, 1, 4, 3, 6, 2, 7, 2, 1, 3, 9, 6, 4, 5, 8, 6, 4, 3, 5, 2, 8, 9, 7, 1, 9, 1, 7, 4, 5, 2, 8, 3, 6, 5, 3, 4, 8, 6, 9, 1, 2, 7, 2, 8, 6, 1, 3, 7, 5, 4, 9 ]
42
[ 9, 0, 0, 3, 0, 4, 0, 0, 0, 6, 0, 0, 0, 0, 0, 3, 0, 0, 0, 1, 0, 0, 2, 0, 6, 0, 0, 0, 0, 9, 7, 0, 3, 0, 2, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 4, 7, 0, 1, 0, 0, 9, 0, 0, 0, 6, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 3, 0, 0, 0, 8, 0, 1, 0, 0 ]
[ 9, 8, 7, 3, 6, 4, 5, 1, 2, 6, 2, 4, 5, 7, 1, 3, 8, 9, 5, 1, 3, 8, 2, 9, 6, 4, 7, 4, 6, 9, 7, 5, 3, 8, 2, 1, 7, 3, 1, 2, 4, 8, 9, 5, 6, 8, 5, 2, 1, 9, 6, 4, 7, 3, 1, 4, 8, 9, 3, 7, 2, 6, 5, 2, 9, 6, 4, 1, 5, 7, 3, 8, 3, 7, 5, 6, 8, 2, 1, 9, 4 ]
43
[ 0, 4, 0, 2, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 3, 0, 5, 0, 0, 0, 5, 0, 1, 0, 0, 7, 0, 5, 9, 0, 6, 0, 0, 0, 0, 8, 0, 0, 0, 0, 9, 0, 0, 4, 7, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 9, 0, 1, 5, 6, 0, 0, 0, 0 ]
[ 7, 4, 9, 2, 5, 6, 8, 3, 1, 6, 1, 8, 4, 7, 3, 2, 5, 9, 3, 2, 5, 9, 1, 8, 4, 7, 6, 5, 9, 3, 6, 4, 7, 1, 2, 8, 2, 8, 6, 1, 9, 5, 3, 4, 7, 1, 7, 4, 8, 3, 2, 9, 6, 5, 4, 6, 2, 7, 8, 1, 5, 9, 3, 8, 5, 7, 3, 2, 9, 6, 1, 4, 9, 3, 1, 5, 6, 4, 7, 8, 2 ]
44
[ 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 6, 0, 3, 0, 2, 0, 0, 0, 3, 0, 0, 8, 0, 0, 1, 0, 0, 9, 5, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 4, 2, 0, 0, 5, 0, 8, 0, 0, 0, 0, 2, 0, 8, 0, 9, 0, 8, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 3, 0, 4, 0 ]
[ 1, 5, 8, 6, 4, 2, 9, 3, 7, 7, 4, 6, 1, 3, 9, 2, 8, 5, 9, 3, 2, 7, 8, 5, 6, 1, 4, 8, 9, 5, 4, 1, 7, 3, 2, 6, 6, 2, 7, 3, 5, 8, 4, 9, 1, 3, 1, 4, 2, 9, 6, 5, 7, 8, 4, 7, 3, 5, 2, 1, 8, 6, 9, 2, 8, 1, 9, 6, 4, 7, 5, 3, 5, 6, 9, 8, 7, 3, 1, 4, 2 ]
45
[ 0, 0, 0, 5, 0, 7, 2, 9, 0, 9, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 5, 3, 8, 0, 2, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 5, 7, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 7, 0, 0, 0, 1, 0, 0, 6, 0, 0, 0, 0, 0, 0, 4, 0, 0, 3, 8, 0, 0, 9, 0, 0, 0, 7, 0 ]
[ 6, 4, 8, 5, 3, 7, 2, 9, 1, 9, 3, 5, 4, 2, 1, 6, 8, 7, 2, 1, 7, 6, 9, 8, 3, 4, 5, 3, 8, 1, 2, 7, 9, 4, 5, 6, 4, 6, 9, 3, 8, 5, 7, 1, 2, 5, 7, 2, 1, 4, 6, 9, 3, 8, 7, 2, 4, 8, 1, 3, 5, 6, 9, 1, 9, 6, 7, 5, 4, 8, 2, 3, 8, 5, 3, 9, 6, 2, 1, 7, 4 ]
46
[ 4, 0, 0, 0, 8, 0, 6, 9, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 3, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 6, 1, 0, 0, 0, 0, 5, 0, 0, 1, 0, 7, 2, 0, 4, 0, 0, 0, 4, 0, 0, 0, 3, 6, 0, 0, 1, 0, 7, 0, 0, 0, 0, 8, 0, 0, 7, 6, 0, 0, 0, 0, 0 ]
[ 4, 7, 3, 5, 8, 1, 6, 9, 2, 1, 6, 9, 4, 2, 7, 5, 8, 3, 8, 2, 5, 3, 9, 6, 7, 1, 4, 7, 4, 8, 9, 6, 5, 2, 3, 1, 2, 9, 6, 1, 4, 3, 8, 7, 5, 5, 3, 1, 8, 7, 2, 9, 4, 6, 9, 5, 4, 2, 1, 8, 3, 6, 7, 6, 1, 2, 7, 3, 9, 4, 5, 8, 3, 8, 7, 6, 5, 4, 1, 2, 9 ]
47
[ 0, 0, 0, 0, 8, 9, 6, 1, 0, 0, 3, 6, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 7, 0, 0, 0, 3, 0, 0, 8, 5, 0, 0, 4, 0, 0, 0, 0, 2, 0, 0, 6, 8, 0, 0, 0, 2, 3, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 4, 0, 0, 9, 0, 0, 8, 1 ]
[ 2, 7, 4, 3, 8, 9, 6, 1, 5, 9, 3, 6, 1, 5, 7, 2, 4, 8, 8, 5, 1, 6, 2, 4, 7, 3, 9, 4, 6, 5, 9, 7, 8, 1, 2, 3, 7, 1, 8, 5, 3, 2, 4, 9, 6, 3, 9, 2, 4, 1, 6, 8, 5, 7, 5, 2, 3, 8, 6, 1, 9, 7, 4, 1, 8, 9, 7, 4, 5, 3, 6, 2, 6, 4, 7, 2, 9, 3, 5, 8, 1 ]
48
[ 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 9, 3, 0, 0, 4, 0, 0, 3, 0, 0, 8, 0, 0, 0, 8, 7, 0, 6, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 5, 7, 0, 0, 0, 6, 0, 5, 8, 0, 0, 0, 1, 0, 0, 0, 0, 0, 8, 0, 0, 2, 0, 0, 6, 0, 0, 2, 0, 0, 0, 3, 0 ]
[ 3, 9, 5, 7, 8, 4, 6, 1, 2, 8, 7, 1, 6, 2, 9, 3, 5, 4, 4, 6, 2, 3, 1, 5, 8, 7, 9, 9, 8, 7, 4, 6, 3, 5, 2, 1, 5, 4, 6, 1, 9, 2, 7, 8, 3, 1, 2, 3, 5, 7, 8, 4, 9, 6, 2, 5, 8, 9, 3, 6, 1, 4, 7, 7, 3, 9, 8, 4, 1, 2, 6, 5, 6, 1, 4, 2, 5, 7, 9, 3, 8 ]
49
[ 3, 0, 0, 0, 2, 0, 0, 4, 0, 0, 0, 0, 0, 0, 1, 9, 0, 0, 7, 0, 0, 6, 0, 0, 0, 3, 0, 0, 0, 4, 0, 0, 5, 8, 0, 3, 0, 0, 0, 2, 0, 0, 0, 0, 0, 9, 0, 7, 8, 0, 0, 0, 0, 0, 6, 0, 9, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 3, 0, 6, 8 ]
[ 3, 1, 8, 7, 2, 9, 6, 4, 5, 2, 4, 6, 3, 5, 1, 9, 8, 7, 7, 9, 5, 6, 4, 8, 1, 3, 2, 1, 6, 4, 9, 7, 5, 8, 2, 3, 5, 8, 3, 2, 1, 4, 7, 9, 6, 9, 2, 7, 8, 3, 6, 4, 5, 1, 6, 5, 9, 1, 8, 2, 3, 7, 4, 8, 3, 2, 4, 6, 7, 5, 1, 9, 4, 7, 1, 5, 9, 3, 2, 6, 8 ]
50
[ 0, 0, 0, 0, 0, 8, 2, 0, 7, 2, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 9, 0, 0, 0, 6, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 7, 0, 1, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 8, 0, 1, 0, 2, 9, 0, 0, 0, 0, 2, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 3, 5, 0, 0, 9, 8, 0, 0 ]
[ 3, 6, 9, 4, 1, 8, 2, 5, 7, 2, 8, 4, 6, 7, 5, 3, 1, 9, 5, 1, 7, 9, 2, 3, 4, 6, 8, 8, 5, 3, 2, 9, 1, 6, 7, 4, 7, 2, 1, 3, 6, 4, 9, 8, 5, 4, 9, 6, 5, 8, 7, 1, 3, 2, 9, 7, 8, 1, 3, 2, 5, 4, 6, 1, 4, 2, 8, 5, 6, 7, 9, 3, 6, 3, 5, 7, 4, 9, 8, 2, 1 ]
51
[ 0, 0, 0, 3, 0, 0, 1, 0, 0, 0, 3, 1, 0, 0, 0, 0, 8, 4, 0, 0, 0, 0, 4, 9, 0, 0, 0, 0, 0, 8, 0, 9, 6, 0, 0, 0, 0, 1, 0, 0, 0, 7, 8, 3, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 9, 0, 0, 0, 0, 4, 0, 6, 0, 0, 0, 3, 2, 0, 0, 0, 3, 0, 0, 0, 7 ]
[ 4, 6, 7, 3, 8, 2, 1, 9, 5, 9, 3, 1, 6, 7, 5, 2, 8, 4, 8, 2, 5, 1, 4, 9, 3, 7, 6, 3, 4, 8, 2, 9, 6, 7, 5, 1, 6, 1, 9, 4, 5, 7, 8, 3, 2, 5, 7, 2, 8, 1, 3, 6, 4, 9, 1, 5, 3, 7, 2, 4, 9, 6, 8, 7, 8, 4, 9, 6, 1, 5, 2, 3, 2, 9, 6, 5, 3, 8, 4, 1, 7 ]
52
[ 0, 6, 0, 0, 0, 0, 0, 5, 4, 0, 0, 1, 0, 0, 9, 8, 0, 0, 0, 9, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 7, 0, 5, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 6, 0, 0, 8, 0, 0, 0, 4, 7, 0, 4, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 1, 0, 9, 3, 0, 0, 0, 6 ]
[ 7, 6, 2, 1, 8, 3, 9, 5, 4, 4, 3, 1, 5, 7, 9, 8, 6, 2, 5, 9, 8, 2, 6, 4, 7, 1, 3, 8, 2, 3, 7, 4, 5, 6, 9, 1, 1, 7, 4, 3, 9, 6, 5, 2, 8, 6, 5, 9, 8, 1, 2, 3, 4, 7, 3, 4, 7, 6, 5, 1, 2, 8, 9, 9, 8, 6, 4, 2, 7, 1, 3, 5, 2, 1, 5, 9, 3, 8, 4, 7, 6 ]
53
[ 0, 0, 0, 8, 0, 0, 0, 0, 0, 3, 0, 0, 0, 4, 0, 7, 0, 0, 7, 0, 0, 0, 0, 1, 0, 8, 9, 9, 0, 0, 0, 0, 0, 3, 0, 0, 0, 7, 0, 0, 6, 0, 9, 0, 0, 1, 0, 0, 2, 0, 3, 0, 0, 0, 0, 0, 6, 0, 0, 0, 2, 0, 5, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 0, 5, 0, 0, 6 ]
[ 6, 1, 9, 8, 7, 2, 5, 4, 3, 3, 5, 8, 6, 4, 9, 7, 2, 1, 7, 2, 4, 5, 3, 1, 6, 8, 9, 9, 6, 2, 7, 5, 8, 3, 1, 4, 8, 7, 3, 1, 6, 4, 9, 5, 2, 1, 4, 5, 2, 9, 3, 8, 6, 7, 4, 8, 6, 9, 1, 7, 2, 3, 5, 5, 3, 7, 4, 2, 6, 1, 9, 8, 2, 9, 1, 3, 8, 5, 4, 7, 6 ]
54
[ 0, 0, 2, 5, 0, 0, 0, 0, 7, 0, 5, 0, 6, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 6, 1, 0, 7, 0, 0, 1, 0, 9, 0, 0, 0, 8, 0, 0, 0, 0, 7, 9, 6, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 2, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 2, 0, 0, 3, 5, 8, 0, 0 ]
[ 6, 3, 2, 5, 9, 1, 4, 8, 7, 1, 5, 7, 6, 8, 4, 3, 2, 9, 9, 8, 4, 3, 7, 2, 6, 1, 5, 7, 4, 3, 1, 6, 9, 2, 5, 8, 8, 1, 5, 4, 2, 7, 9, 6, 3, 2, 9, 6, 8, 5, 3, 7, 4, 1, 3, 6, 9, 2, 1, 8, 5, 7, 4, 5, 7, 8, 9, 4, 6, 1, 3, 2, 4, 2, 1, 7, 3, 5, 8, 9, 6 ]
55
[ 0, 2, 0, 1, 0, 0, 0, 9, 0, 0, 9, 0, 0, 6, 0, 5, 0, 8, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 6, 0, 4, 2, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 7, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 3, 0, 0, 0, 8, 0, 0, 6, 0, 0, 2, 7, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 2, 0 ]
[ 4, 2, 5, 1, 8, 3, 7, 9, 6, 7, 9, 1, 2, 6, 4, 5, 3, 8, 6, 3, 8, 9, 7, 5, 1, 4, 2, 8, 7, 6, 5, 4, 2, 9, 1, 3, 5, 1, 3, 6, 9, 8, 2, 7, 4, 2, 4, 9, 7, 3, 1, 8, 6, 5, 9, 5, 2, 3, 1, 6, 4, 8, 7, 1, 6, 4, 8, 2, 7, 3, 5, 9, 3, 8, 7, 4, 5, 9, 6, 2, 1 ]
56
[ 4, 1, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 2, 0, 5, 0, 7, 6, 0, 0, 1, 0, 0, 0, 5, 0, 0, 0, 8, 0, 0, 0, 0, 0, 4, 9, 0, 0, 5, 0, 0, 0, 2, 0, 0, 3, 0, 0, 0, 5, 0, 0, 6, 0, 0, 0, 8, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 8, 0, 5, 0, 6 ]
[ 4, 1, 3, 9, 6, 2, 8, 5, 7, 6, 5, 7, 8, 4, 1, 2, 9, 3, 9, 2, 8, 5, 3, 7, 6, 1, 4, 1, 6, 4, 3, 5, 9, 7, 2, 8, 3, 8, 2, 1, 7, 4, 9, 6, 5, 5, 7, 9, 6, 2, 8, 4, 3, 1, 7, 3, 5, 4, 9, 6, 1, 8, 2, 8, 4, 6, 2, 1, 5, 3, 7, 9, 2, 9, 1, 7, 8, 3, 5, 4, 6 ]
57
[ 0, 0, 9, 5, 2, 0, 0, 3, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 5, 8, 0, 4, 0, 0, 0, 0, 0, 0, 2, 0, 9, 0, 2, 8, 0, 0, 0, 0, 6, 0, 0, 0, 0, 3, 0, 0, 4, 0, 6, 0, 9, 0, 0, 7, 4, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 6 ]
[ 4, 8, 9, 5, 2, 7, 6, 3, 1, 2, 5, 6, 3, 1, 8, 4, 7, 9, 7, 1, 3, 6, 4, 9, 2, 5, 8, 3, 4, 8, 7, 6, 5, 9, 1, 2, 1, 9, 5, 2, 8, 4, 3, 6, 7, 6, 7, 2, 1, 9, 3, 5, 8, 4, 8, 6, 1, 9, 5, 2, 7, 4, 3, 9, 3, 4, 8, 7, 6, 1, 2, 5, 5, 2, 7, 4, 3, 1, 8, 9, 6 ]
58
[ 0, 9, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 2, 0, 1, 4, 0, 0, 4, 0, 3, 8, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 9, 1, 0, 0, 0, 0, 2, 0, 5, 0, 8, 0, 0, 0, 0, 1, 0, 0, 0, 5, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 6, 0, 1, 6, 0, 0, 0, 0, 4, 0, 5 ]
[ 2, 9, 7, 6, 1, 4, 5, 8, 3, 6, 3, 8, 7, 2, 5, 1, 4, 9, 5, 4, 1, 3, 8, 9, 7, 2, 6, 7, 1, 6, 9, 5, 2, 8, 3, 4, 3, 8, 9, 1, 4, 7, 6, 5, 2, 4, 5, 2, 8, 6, 3, 9, 7, 1, 9, 7, 4, 5, 3, 6, 2, 1, 8, 8, 2, 5, 4, 9, 1, 3, 6, 7, 1, 6, 3, 2, 7, 8, 4, 9, 5 ]
59
[ 0, 0, 1, 0, 0, 6, 0, 5, 0, 6, 0, 0, 0, 0, 2, 0, 0, 0, 3, 0, 0, 0, 0, 0, 8, 0, 2, 2, 0, 0, 0, 0, 1, 0, 4, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 1, 0, 0, 6, 9, 0, 0, 0, 3, 0, 3, 0, 5, 0, 0, 2, 0, 7, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 5, 0, 7, 0, 8, 0, 0, 0 ]
[ 9, 2, 1, 8, 7, 6, 3, 5, 4, 6, 8, 5, 4, 3, 2, 1, 7, 9, 3, 7, 4, 1, 5, 9, 8, 6, 2, 2, 9, 7, 3, 8, 1, 5, 4, 6, 5, 6, 3, 2, 4, 7, 9, 1, 8, 1, 4, 8, 6, 9, 5, 7, 2, 3, 8, 3, 6, 5, 1, 4, 2, 9, 7, 7, 1, 2, 9, 6, 3, 4, 8, 5, 4, 5, 9, 7, 2, 8, 6, 3, 1 ]
60
[ 0, 7, 6, 0, 0, 5, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 4, 0, 7, 0, 0, 2, 0, 0, 0, 0, 8, 0, 0, 5, 0, 0, 0, 6, 0, 0, 0, 1, 6, 0, 0, 0, 4, 0, 0, 9, 0, 0, 0, 0, 0, 9, 2, 0, 0, 0, 0, 3, 0, 6, 0, 0, 0, 0, 0, 9, 0, 7, 0, 0, 0, 6, 3, 0 ]
[ 1, 7, 6, 9, 8, 5, 3, 2, 4, 2, 4, 9, 7, 3, 6, 5, 1, 8, 3, 5, 8, 1, 2, 4, 9, 7, 6, 7, 2, 4, 5, 1, 9, 8, 6, 3, 5, 9, 3, 8, 6, 7, 2, 4, 1, 6, 8, 1, 2, 4, 3, 7, 9, 5, 4, 6, 5, 3, 9, 2, 1, 8, 7, 8, 3, 2, 6, 7, 1, 4, 5, 9, 9, 1, 7, 4, 5, 8, 6, 3, 2 ]
61
[ 9, 5, 0, 7, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6, 5, 0, 0, 9, 0, 7, 0, 0, 8, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 6, 3, 4, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 1, 0, 8, 0, 0, 9, 0, 0, 2, 0, 0, 9, 0, 0, 3, 0 ]
[ 9, 5, 6, 7, 2, 1, 3, 8, 4, 3, 8, 2, 6, 4, 5, 9, 7, 1, 1, 4, 7, 8, 3, 9, 5, 2, 6, 5, 6, 3, 9, 1, 7, 2, 4, 8, 8, 1, 4, 2, 6, 3, 7, 5, 9, 2, 7, 9, 4, 5, 8, 1, 6, 3, 4, 9, 5, 3, 7, 6, 8, 1, 2, 6, 3, 1, 5, 8, 2, 4, 9, 7, 7, 2, 8, 1, 9, 4, 6, 3, 5 ]
62
[ 0, 0, 0, 0, 6, 3, 0, 0, 0, 0, 6, 9, 0, 0, 0, 7, 0, 8, 7, 0, 0, 8, 0, 0, 0, 0, 0, 0, 2, 0, 0, 8, 0, 0, 1, 0, 0, 8, 0, 0, 4, 0, 6, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 3, 4, 9, 0, 0, 9, 0, 8, 0, 0, 2, 0, 0, 7 ]
[ 8, 4, 2, 7, 6, 3, 5, 9, 1, 1, 6, 9, 4, 2, 5, 7, 3, 8, 7, 5, 3, 8, 9, 1, 2, 6, 4, 6, 2, 7, 5, 8, 9, 4, 1, 3, 5, 8, 1, 3, 4, 7, 6, 2, 9, 3, 9, 4, 2, 1, 6, 8, 7, 5, 4, 3, 6, 9, 7, 8, 1, 5, 2, 2, 7, 5, 1, 3, 4, 9, 8, 6, 9, 1, 8, 6, 5, 2, 3, 4, 7 ]
63
[ 0, 4, 0, 0, 0, 2, 0, 0, 0, 9, 0, 0, 0, 8, 0, 0, 0, 3, 3, 0, 0, 7, 0, 0, 0, 0, 5, 0, 0, 0, 1, 0, 0, 0, 5, 4, 0, 1, 3, 0, 0, 6, 0, 9, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 7, 0, 1, 6, 0, 3, 0, 0, 0, 0, 6, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 7 ]
[ 1, 4, 5, 3, 6, 2, 9, 7, 8, 9, 7, 6, 5, 8, 4, 2, 1, 3, 3, 2, 8, 7, 9, 1, 4, 6, 5, 6, 9, 2, 1, 3, 7, 8, 5, 4, 8, 1, 3, 4, 5, 6, 7, 9, 2, 4, 5, 7, 8, 2, 9, 1, 3, 6, 7, 8, 1, 6, 4, 3, 5, 2, 9, 2, 6, 4, 9, 7, 5, 3, 8, 1, 5, 3, 9, 2, 1, 8, 6, 4, 7 ]
64
[ 0, 6, 0, 5, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 8, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 7, 0, 0, 0, 3, 0, 0, 0, 7, 5, 0, 0, 4, 0, 3, 2, 0, 8, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 2, 4, 0, 3, 1, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 5, 1, 0 ]
[ 4, 6, 2, 5, 7, 3, 1, 9, 8, 9, 5, 7, 1, 4, 8, 3, 2, 6, 8, 3, 1, 6, 9, 2, 4, 7, 5, 2, 1, 3, 8, 6, 4, 7, 5, 9, 7, 4, 5, 3, 2, 9, 8, 6, 1, 6, 8, 9, 7, 1, 5, 2, 4, 3, 5, 2, 4, 9, 3, 1, 6, 8, 7, 1, 7, 8, 4, 5, 6, 9, 3, 2, 3, 9, 6, 2, 8, 7, 5, 1, 4 ]
65
[ 0, 1, 0, 7, 9, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 9, 4, 0, 0, 0, 0, 3, 0, 0, 2, 0, 9, 0, 0, 0, 8, 0, 0, 4, 0, 4, 0, 0, 1, 0, 5, 2, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 1, 9, 6, 0, 0, 3, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 6, 7 ]
[ 8, 1, 6, 7, 9, 2, 3, 4, 5, 3, 2, 7, 4, 5, 6, 1, 8, 9, 4, 5, 9, 1, 8, 3, 6, 7, 2, 6, 9, 5, 3, 2, 8, 7, 1, 4, 7, 4, 8, 6, 1, 9, 5, 2, 3, 1, 3, 2, 5, 7, 4, 8, 9, 6, 2, 7, 1, 9, 6, 5, 4, 3, 8, 9, 6, 4, 8, 3, 7, 2, 5, 1, 5, 8, 3, 2, 4, 1, 9, 6, 7 ]
66
[ 0, 0, 8, 0, 0, 3, 0, 0, 6, 0, 0, 6, 5, 0, 0, 4, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 6, 0, 0, 0, 9, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 8, 0, 0, 5, 8, 2, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 7, 0, 2, 0, 8, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 7, 8, 0, 9, 0, 0 ]
[ 1, 7, 8, 4, 9, 3, 5, 2, 6, 3, 2, 6, 5, 7, 8, 4, 1, 9, 4, 5, 9, 2, 1, 6, 8, 3, 7, 8, 6, 1, 3, 5, 9, 2, 7, 4, 2, 9, 4, 1, 6, 7, 3, 5, 8, 7, 3, 5, 8, 2, 4, 6, 9, 1, 9, 1, 3, 6, 4, 5, 7, 8, 2, 6, 8, 7, 9, 3, 2, 1, 4, 5, 5, 4, 2, 7, 8, 1, 9, 6, 3 ]
67
[ 0, 0, 9, 0, 0, 1, 5, 0, 0, 0, 0, 0, 8, 2, 0, 0, 0, 7, 0, 0, 8, 0, 0, 0, 0, 0, 9, 1, 0, 0, 6, 8, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 6, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 9, 3, 0, 7, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0, 4, 0, 0, 8 ]
[ 2, 6, 9, 4, 7, 1, 5, 8, 3, 5, 1, 3, 8, 2, 9, 4, 6, 7, 4, 7, 8, 3, 5, 6, 1, 2, 9, 1, 5, 4, 6, 8, 3, 9, 7, 2, 3, 9, 7, 1, 4, 2, 8, 5, 6, 6, 8, 2, 5, 9, 7, 3, 1, 4, 8, 4, 6, 2, 3, 5, 7, 9, 1, 9, 3, 1, 7, 6, 8, 2, 4, 5, 7, 2, 5, 9, 1, 4, 6, 3, 8 ]
68
[ 0, 6, 4, 9, 0, 0, 0, 3, 0, 0, 0, 0, 6, 7, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 5, 0, 0, 0, 1, 0, 0, 0, 4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 3, 0, 8, 0, 2, 0, 0, 1, 0, 0, 0, 0, 4, 0, 0, 0, 8, 0, 4, 7, 0, 0, 0, 0, 0, 3, 9, 0, 0, 0, 8, 0, 1, 0, 0 ]
[ 2, 6, 4, 9, 5, 1, 8, 3, 7, 3, 1, 8, 6, 7, 4, 2, 9, 5, 7, 9, 5, 2, 3, 8, 4, 1, 6, 5, 8, 9, 3, 1, 7, 6, 2, 4, 1, 7, 2, 4, 6, 5, 3, 8, 9, 4, 3, 6, 8, 9, 2, 7, 5, 1, 6, 2, 1, 5, 4, 3, 9, 7, 8, 8, 4, 7, 1, 2, 9, 5, 6, 3, 9, 5, 3, 7, 8, 6, 1, 4, 2 ]
69
[ 0, 0, 0, 6, 3, 0, 0, 9, 2, 6, 0, 8, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 1, 0, 5, 0, 0, 9, 0, 0, 0, 0, 6, 9, 0, 0, 4, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 8, 0, 5, 0, 0, 0, 0, 0, 3, 0, 0, 4, 0, 9, 3, 0, 2, 0 ]
[ 4, 5, 1, 6, 3, 7, 8, 9, 2, 6, 2, 8, 5, 4, 9, 3, 7, 1, 3, 9, 7, 1, 8, 2, 6, 5, 4, 7, 4, 6, 3, 5, 8, 2, 1, 9, 5, 8, 2, 9, 7, 1, 4, 3, 6, 9, 1, 3, 4, 2, 6, 7, 8, 5, 2, 3, 9, 8, 6, 5, 1, 4, 7, 8, 7, 5, 2, 1, 4, 9, 6, 3, 1, 6, 4, 7, 9, 3, 5, 2, 8 ]
70
[ 0, 0, 9, 1, 0, 0, 8, 0, 0, 0, 4, 0, 0, 5, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 7, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 8, 0, 8, 7, 0, 0, 3, 0, 0, 0, 4, 0, 0, 3, 5, 0, 0, 0, 1, 0, 0, 0, 0, 8, 0, 0, 5, 0, 0, 6, 8, 0, 0, 0, 0, 4, 0, 0 ]
[ 3, 5, 9, 1, 4, 6, 8, 7, 2, 7, 4, 8, 3, 5, 2, 1, 6, 9, 2, 6, 1, 7, 8, 9, 3, 4, 5, 5, 1, 4, 6, 7, 8, 9, 2, 3, 9, 3, 6, 4, 2, 5, 7, 8, 1, 8, 7, 2, 9, 3, 1, 6, 5, 4, 4, 9, 3, 5, 6, 7, 2, 1, 8, 1, 2, 7, 8, 9, 4, 5, 3, 6, 6, 8, 5, 2, 1, 3, 4, 9, 7 ]
71
[ 0, 0, 7, 1, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 5, 1, 9, 0, 0, 7, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 2, 0, 1, 8, 0, 2, 0, 5, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 1, 9, 0, 0, 4, 0, 0, 0, 0, 9, 0, 3, 7, 0, 0, 6 ]
[ 2, 5, 7, 1, 6, 4, 8, 9, 3, 4, 8, 6, 3, 2, 9, 7, 5, 1, 9, 1, 3, 7, 8, 5, 2, 6, 4, 1, 9, 8, 6, 7, 3, 5, 4, 2, 7, 6, 5, 4, 9, 2, 3, 1, 8, 3, 2, 4, 5, 1, 8, 6, 7, 9, 6, 7, 2, 8, 4, 1, 9, 3, 5, 8, 3, 1, 9, 5, 6, 4, 2, 7, 5, 4, 9, 2, 3, 7, 1, 8, 6 ]
72
[ 0, 6, 0, 7, 0, 1, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 2, 9, 0, 0, 0, 0, 0, 1, 0, 9, 3, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 1, 3, 0, 0, 7, 4, 0, 0, 7, 0, 6, 0, 8, 0, 0, 0, 0, 0, 0, 0, 9, 0, 5, 0, 0, 0, 2, 0, 7, 0, 0, 0, 3 ]
[ 3, 6, 5, 7, 8, 1, 2, 4, 9, 1, 7, 4, 3, 9, 2, 5, 6, 8, 8, 2, 9, 5, 4, 6, 7, 3, 1, 4, 9, 3, 6, 2, 7, 1, 8, 5, 7, 8, 1, 9, 5, 4, 3, 2, 6, 2, 5, 6, 1, 3, 8, 9, 7, 4, 5, 1, 7, 4, 6, 3, 8, 9, 2, 6, 3, 8, 2, 1, 9, 4, 5, 7, 9, 4, 2, 8, 7, 5, 6, 1, 3 ]
73
[ 0, 6, 5, 0, 3, 0, 9, 0, 0, 0, 0, 0, 0, 9, 0, 6, 0, 2, 0, 0, 0, 0, 0, 5, 0, 0, 0, 9, 0, 0, 0, 0, 1, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 5, 0, 5, 2, 3, 0, 0, 0, 0, 0, 0, 3, 0, 1, 0, 0, 8, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 7, 0, 0, 5, 0, 0, 0, 0, 1 ]
[ 4, 6, 5, 2, 3, 8, 9, 1, 7, 3, 1, 8, 7, 9, 4, 6, 5, 2, 2, 9, 7, 6, 1, 5, 4, 8, 3, 9, 7, 3, 4, 5, 1, 2, 6, 8, 6, 4, 1, 8, 2, 9, 7, 3, 5, 8, 5, 2, 3, 6, 7, 1, 9, 4, 5, 3, 6, 1, 7, 2, 8, 4, 9, 1, 2, 4, 9, 8, 3, 5, 7, 6, 7, 8, 9, 5, 4, 6, 3, 2, 1 ]
74
[ 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 8, 0, 2, 5, 0, 0, 0, 8, 0, 2, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 7, 0, 0, 3, 4, 0, 1, 0, 0, 5, 0, 0, 0, 0, 7, 0, 0, 6, 0, 7, 0, 0, 0, 4, 0, 0, 8, 4, 0, 0, 0, 0, 5, 0, 0, 0, 1, 0, 0, 0, 0, 0, 5, 9, 0 ]
[ 2, 5, 7, 4, 3, 1, 8, 6, 9, 9, 4, 1, 7, 8, 6, 2, 5, 3, 6, 3, 8, 5, 2, 9, 7, 4, 1, 8, 1, 4, 6, 5, 2, 9, 3, 7, 7, 9, 6, 3, 4, 8, 1, 2, 5, 5, 2, 3, 9, 1, 7, 4, 8, 6, 3, 7, 5, 2, 9, 4, 6, 1, 8, 4, 8, 9, 1, 6, 5, 3, 7, 2, 1, 6, 2, 8, 7, 3, 5, 9, 4 ]
75
[ 0, 0, 0, 0, 9, 2, 8, 7, 0, 2, 0, 0, 0, 0, 0, 0, 0, 9, 0, 5, 8, 0, 0, 0, 0, 0, 0, 0, 1, 5, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 6, 0, 0, 0, 9, 0, 2, 7, 0, 0, 0, 0, 0, 3, 0, 0, 5, 0, 0, 1, 0, 8, 0, 2, 0, 0, 0, 0, 2, 4, 0, 0, 6, 0, 0 ]
[ 1, 3, 6, 5, 9, 2, 8, 7, 4, 2, 4, 7, 8, 6, 1, 3, 5, 9, 9, 5, 8, 7, 3, 4, 1, 6, 2, 4, 1, 5, 2, 7, 8, 9, 3, 6, 7, 2, 9, 3, 4, 6, 5, 8, 1, 8, 6, 3, 1, 5, 9, 4, 2, 7, 6, 8, 4, 9, 2, 3, 7, 1, 5, 5, 9, 1, 6, 8, 7, 2, 4, 3, 3, 7, 2, 4, 1, 5, 6, 9, 8 ]
76
[ 0, 0, 0, 0, 0, 0, 5, 0, 0, 8, 0, 0, 7, 0, 1, 0, 9, 0, 4, 2, 0, 0, 0, 0, 1, 0, 0, 0, 7, 0, 0, 8, 0, 0, 0, 5, 0, 4, 0, 0, 7, 0, 3, 0, 0, 0, 0, 0, 0, 0, 2, 0, 6, 0, 0, 0, 0, 1, 3, 0, 9, 7, 0, 0, 0, 7, 0, 0, 9, 0, 0, 0, 2, 3, 0, 0, 0, 0, 0, 0, 0 ]
[ 7, 9, 1, 3, 2, 4, 5, 8, 6, 8, 6, 3, 7, 5, 1, 2, 9, 4, 4, 2, 5, 6, 9, 8, 1, 3, 7, 1, 7, 6, 9, 8, 3, 4, 2, 5, 9, 4, 2, 5, 7, 6, 3, 1, 8, 3, 5, 8, 4, 1, 2, 7, 6, 9, 6, 8, 4, 1, 3, 5, 9, 7, 2, 5, 1, 7, 2, 6, 9, 8, 4, 3, 2, 3, 9, 8, 4, 7, 6, 5, 1 ]
77
[ 0, 0, 3, 4, 0, 7, 0, 5, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 9, 0, 6, 0, 0, 0, 4, 0, 0, 0, 0, 0, 9, 0, 0, 0, 2, 0, 6, 0, 0, 0, 7, 0, 8, 0, 0, 7, 0, 0, 0, 3, 0, 0, 0, 1, 0, 7, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 4, 5, 7, 0, 8, 0, 9, 0, 0, 0, 0, 0, 0 ]
[ 2, 8, 3, 4, 1, 7, 9, 5, 6, 5, 4, 7, 6, 9, 8, 1, 3, 2, 9, 1, 6, 3, 5, 2, 4, 8, 7, 1, 3, 8, 9, 4, 6, 7, 2, 5, 6, 9, 5, 2, 7, 1, 8, 4, 3, 7, 2, 4, 8, 3, 5, 6, 9, 1, 4, 7, 1, 5, 2, 9, 3, 6, 8, 3, 6, 2, 1, 8, 4, 5, 7, 9, 8, 5, 9, 7, 6, 3, 2, 1, 4 ]
78
[ 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 2, 4, 0, 9, 0, 0, 3, 4, 0, 0, 6, 8, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 1, 6, 0, 0, 0, 8, 0, 9, 0, 0, 0, 2, 3, 0, 0, 0, 3, 0, 0, 5, 0, 0, 0, 1, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 1, 0, 0, 0, 0, 9, 7, 0, 8 ]
[ 4, 1, 3, 2, 5, 6, 8, 9, 7, 5, 6, 7, 9, 8, 1, 3, 2, 4, 2, 9, 8, 7, 3, 4, 1, 5, 6, 8, 2, 6, 4, 1, 7, 9, 3, 5, 7, 3, 1, 6, 9, 5, 4, 8, 2, 9, 4, 5, 8, 2, 3, 6, 7, 1, 3, 7, 4, 5, 6, 8, 2, 1, 9, 6, 8, 9, 1, 7, 2, 5, 4, 3, 1, 5, 2, 3, 4, 9, 7, 6, 8 ]
79
[ 0, 0, 2, 0, 0, 0, 0, 9, 0, 0, 6, 0, 1, 0, 0, 5, 0, 0, 8, 0, 0, 5, 0, 0, 4, 0, 0, 0, 7, 5, 0, 0, 0, 6, 0, 3, 0, 0, 0, 0, 0, 5, 0, 7, 0, 0, 0, 0, 6, 9, 0, 0, 0, 0, 0, 0, 7, 0, 4, 0, 0, 3, 5, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 9, 1, 0, 0, 0, 0 ]
[ 7, 5, 2, 8, 6, 4, 3, 9, 1, 4, 6, 3, 1, 7, 9, 5, 2, 8, 8, 1, 9, 5, 3, 2, 4, 6, 7, 9, 7, 5, 4, 2, 1, 6, 8, 3, 6, 4, 1, 3, 8, 5, 2, 7, 9, 3, 2, 8, 6, 9, 7, 1, 5, 4, 1, 9, 7, 2, 4, 6, 8, 3, 5, 2, 8, 4, 7, 5, 3, 9, 1, 6, 5, 3, 6, 9, 1, 8, 7, 4, 2 ]
80
[ 0, 5, 0, 4, 9, 0, 2, 0, 0, 0, 1, 3, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 6, 4, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 9, 0, 8, 4, 0, 2, 0, 3, 8, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 5, 0, 6, 0, 0, 0, 0, 0, 3, 0, 7, 0, 0, 0, 0, 1, 0, 0, 4, 0, 0, 8 ]
[ 8, 5, 7, 4, 9, 6, 2, 1, 3, 6, 1, 3, 7, 5, 2, 8, 4, 9, 9, 4, 2, 8, 1, 3, 5, 7, 6, 4, 6, 9, 3, 2, 7, 1, 8, 5, 1, 7, 5, 9, 6, 8, 4, 3, 2, 2, 3, 8, 5, 4, 1, 6, 9, 7, 7, 9, 4, 2, 8, 5, 3, 6, 1, 5, 8, 6, 1, 3, 9, 7, 2, 4, 3, 2, 1, 6, 7, 4, 9, 5, 8 ]
81
[ 0, 0, 0, 0, 0, 3, 2, 0, 9, 0, 0, 0, 0, 0, 1, 0, 0, 0, 3, 6, 0, 0, 5, 0, 0, 0, 8, 2, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 6, 0, 0, 4, 9, 0, 0, 0, 0, 8, 1, 0, 0, 6, 0, 0, 0, 3, 4, 0, 6, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 4, 0, 2 ]
[ 8, 7, 5, 6, 4, 3, 2, 1, 9, 9, 4, 2, 7, 8, 1, 5, 3, 6, 3, 6, 1, 9, 5, 2, 7, 4, 8, 2, 9, 3, 5, 7, 6, 1, 8, 4, 7, 1, 6, 8, 3, 4, 9, 2, 5, 4, 5, 8, 1, 2, 9, 6, 7, 3, 1, 3, 4, 2, 6, 5, 8, 9, 7, 5, 2, 7, 4, 9, 8, 3, 6, 1, 6, 8, 9, 3, 1, 7, 4, 5, 2 ]
82
[ 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 1, 0, 0, 6, 0, 4, 0, 2, 0, 8, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 3, 0, 0, 4, 0, 0, 5, 0, 1, 0, 0, 0, 8, 7, 0, 0, 0, 4, 0, 0, 3, 7, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 4, 0, 2, 7, 0 ]
[ 2, 4, 6, 5, 1, 9, 7, 3, 8, 7, 1, 9, 3, 6, 8, 4, 5, 2, 5, 8, 3, 2, 7, 4, 9, 6, 1, 1, 7, 5, 4, 9, 6, 8, 2, 3, 9, 2, 4, 8, 3, 5, 6, 1, 7, 3, 6, 8, 7, 2, 1, 5, 4, 9, 6, 3, 7, 9, 5, 2, 1, 8, 4, 4, 5, 2, 1, 8, 7, 3, 9, 6, 8, 9, 1, 6, 4, 3, 2, 7, 5 ]
83
[ 9, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 5, 0, 6, 0, 0, 0, 5, 0, 0, 4, 0, 0, 0, 7, 3, 0, 0, 0, 0, 5, 0, 0, 0, 0, 7, 8, 0, 0, 0, 0, 5, 3, 0, 0, 0, 9, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 8, 0, 5, 2, 0, 0, 0, 3, 0, 0, 0, 0, 4, 9, 0, 0, 0, 8 ]
[ 9, 8, 4, 7, 6, 2, 3, 1, 5, 7, 2, 3, 8, 5, 1, 6, 9, 4, 1, 5, 6, 3, 4, 9, 2, 8, 7, 3, 1, 9, 6, 8, 5, 7, 4, 2, 6, 7, 8, 1, 2, 4, 9, 5, 3, 5, 4, 2, 9, 7, 3, 8, 6, 1, 4, 9, 7, 5, 3, 8, 1, 2, 6, 8, 6, 5, 2, 1, 7, 4, 3, 9, 2, 3, 1, 4, 9, 6, 5, 7, 8 ]
84
[ 5, 0, 0, 0, 0, 9, 8, 6, 0, 1, 0, 7, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 6, 2, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 4, 7, 0, 0, 0, 0, 1, 0, 3, 0, 0, 0, 6, 7, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 6, 0, 8, 3, 0, 6, 0, 0, 0, 0, 9, 0, 0 ]
[ 5, 3, 4, 1, 7, 9, 8, 6, 2, 1, 2, 7, 6, 8, 3, 5, 4, 9, 6, 8, 9, 4, 2, 5, 1, 3, 7, 8, 4, 6, 2, 1, 7, 3, 9, 5, 3, 5, 2, 9, 6, 4, 7, 1, 8, 9, 7, 1, 5, 3, 8, 4, 2, 6, 7, 9, 3, 8, 4, 2, 6, 5, 1, 4, 1, 5, 7, 9, 6, 2, 8, 3, 2, 6, 8, 3, 5, 1, 9, 7, 4 ]
85
[ 6, 0, 0, 0, 8, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 8, 0, 5, 0, 0, 1, 0, 6, 0, 0, 2, 0, 0, 2, 0, 3, 5, 0, 0, 0, 0, 0, 4, 0, 2, 0, 0, 3, 0, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 1, 0, 0, 6, 0, 9, 4, 0, 0, 8, 0, 0, 0, 1, 0, 0, 7, 0 ]
[ 6, 5, 2, 7, 8, 4, 9, 3, 1, 4, 3, 7, 1, 9, 2, 8, 6, 5, 9, 8, 1, 5, 6, 3, 7, 2, 4, 7, 2, 9, 3, 5, 8, 1, 4, 6, 5, 4, 6, 2, 7, 1, 3, 9, 8, 3, 1, 8, 9, 4, 6, 2, 5, 7, 2, 6, 4, 8, 3, 7, 5, 1, 9, 1, 7, 5, 6, 2, 9, 4, 8, 3, 8, 9, 3, 4, 1, 5, 6, 7, 2 ]
86
[ 8, 9, 0, 0, 0, 0, 0, 3, 7, 0, 0, 3, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 4, 0, 0, 0, 0, 0, 0, 0, 4, 6, 0, 8, 0, 7, 0, 8, 0, 0, 1, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 7, 0, 0, 6, 0, 0, 9, 0, 0, 0, 4, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 7, 0, 5, 0, 0 ]
[ 8, 9, 5, 6, 1, 2, 4, 3, 7, 4, 2, 3, 7, 8, 5, 9, 1, 6, 1, 6, 7, 3, 9, 4, 8, 2, 5, 2, 3, 1, 5, 4, 6, 7, 8, 9, 7, 5, 8, 9, 2, 1, 6, 4, 3, 9, 4, 6, 8, 3, 7, 2, 5, 1, 5, 7, 2, 4, 6, 3, 1, 9, 8, 6, 8, 4, 1, 5, 9, 3, 7, 2, 3, 1, 9, 2, 7, 8, 5, 6, 4 ]
87
[ 0, 4, 0, 0, 8, 0, 9, 0, 0, 1, 0, 0, 0, 9, 0, 0, 2, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 8, 0, 5, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 8, 0, 0, 0, 3, 0, 0, 0, 9, 2, 0, 0, 0, 0, 0, 3, 0, 0, 5, 6, 0, 6, 0, 8, 1, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0 ]
[ 2, 4, 3, 7, 8, 6, 9, 1, 5, 1, 8, 6, 4, 9, 5, 3, 2, 7, 5, 9, 7, 2, 3, 1, 6, 8, 4, 8, 2, 5, 6, 1, 4, 7, 9, 3, 7, 6, 9, 5, 2, 3, 8, 4, 1, 4, 3, 1, 8, 7, 9, 2, 5, 6, 9, 1, 2, 3, 4, 7, 5, 6, 8, 6, 7, 8, 1, 5, 2, 4, 3, 9, 3, 5, 4, 9, 6, 8, 1, 7, 2 ]
88
[ 6, 0, 9, 0, 0, 0, 7, 0, 0, 1, 0, 0, 0, 7, 5, 0, 8, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 5, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 4, 0, 7, 8, 5, 0, 9, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 3, 0, 0, 0, 5, 1, 0, 0, 0, 0, 2, 0, 0, 6, 5, 0, 0, 4, 0, 0 ]
[ 6, 2, 9, 8, 1, 3, 7, 4, 5, 1, 4, 3, 2, 7, 5, 9, 8, 6, 5, 7, 8, 9, 6, 4, 2, 1, 3, 2, 5, 7, 3, 8, 9, 1, 6, 4, 3, 6, 1, 4, 2, 7, 8, 5, 9, 9, 8, 4, 6, 5, 1, 3, 2, 7, 4, 1, 2, 7, 9, 6, 5, 3, 8, 7, 3, 5, 1, 4, 8, 6, 9, 2, 8, 9, 6, 5, 3, 2, 4, 7, 1 ]
89
[ 0, 0, 0, 0, 2, 0, 9, 4, 0, 0, 8, 0, 7, 0, 0, 0, 0, 6, 0, 4, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 7, 0, 0, 4, 0, 0, 0, 5, 1, 0, 8, 0, 7, 0, 0, 2, 0, 0, 9, 3, 0, 0, 6, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 2, 4, 3, 0 ]
[ 6, 1, 7, 5, 2, 3, 9, 4, 8, 3, 8, 9, 7, 1, 4, 2, 5, 6, 2, 4, 5, 6, 8, 9, 7, 1, 3, 5, 3, 4, 2, 6, 8, 1, 9, 7, 9, 7, 2, 3, 4, 1, 6, 8, 5, 1, 6, 8, 9, 7, 5, 3, 2, 4, 4, 9, 3, 1, 5, 6, 8, 7, 2, 8, 2, 1, 4, 3, 7, 5, 6, 9, 7, 5, 6, 8, 9, 2, 4, 3, 1 ]
90
[ 3, 0, 0, 6, 0, 0, 0, 0, 5, 6, 0, 0, 0, 8, 9, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 1, 0, 0, 0, 0, 0, 3, 4, 0, 0, 6, 0, 9, 0, 0, 0, 0, 2, 9, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 2, 4, 0, 7, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 7, 3, 0 ]
[ 3, 7, 8, 6, 4, 1, 9, 2, 5, 6, 4, 5, 2, 8, 9, 1, 7, 3, 2, 1, 9, 7, 5, 3, 4, 8, 6, 1, 5, 7, 8, 2, 6, 3, 4, 9, 8, 6, 3, 9, 7, 4, 5, 1, 2, 9, 2, 4, 3, 1, 5, 8, 6, 7, 5, 8, 2, 4, 3, 7, 6, 9, 1, 7, 3, 6, 1, 9, 8, 2, 5, 4, 4, 9, 1, 5, 6, 2, 7, 3, 8 ]
91
[ 5, 0, 0, 4, 0, 0, 1, 7, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 2, 8, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 9, 0, 0, 8, 0, 0, 0, 7, 0, 0, 3, 0, 0, 0, 5, 0, 2, 0, 0, 0, 6, 0, 0, 7, 0, 0, 7, 0, 0, 0, 4, 0, 0, 0, 0, 0, 7, 0, 4, 0, 1, 6, 8, 6, 0, 0, 0, 0, 0, 0, 0 ]
[ 5, 9, 6, 4, 2, 8, 1, 7, 3, 7, 4, 1, 5, 9, 3, 2, 6, 8, 2, 8, 3, 6, 7, 1, 5, 9, 4, 6, 3, 5, 9, 4, 7, 8, 2, 1, 1, 7, 9, 8, 3, 2, 6, 4, 5, 4, 2, 8, 1, 5, 6, 9, 3, 7, 3, 1, 7, 2, 6, 5, 4, 8, 9, 9, 5, 2, 7, 8, 4, 3, 1, 6, 8, 6, 4, 3, 1, 9, 7, 5, 2 ]
92
[ 8, 0, 0, 1, 0, 0, 2, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 5, 0, 0, 6, 9, 0, 0, 1, 0, 0, 0, 4, 0, 0, 0, 2, 0, 1, 3, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 3, 5, 0, 9, 0, 0, 0, 0, 1, 4, 0, 0, 0, 6, 3, 0, 0, 0, 0, 0, 1, 0, 0, 0, 4, 0, 0, 0, 6, 0, 5, 0, 0, 0 ]
[ 8, 5, 9, 1, 7, 3, 2, 4, 6, 4, 7, 1, 8, 2, 6, 3, 9, 5, 2, 3, 6, 9, 5, 4, 1, 8, 7, 9, 4, 5, 7, 6, 2, 8, 1, 3, 7, 2, 8, 4, 3, 1, 5, 6, 9, 1, 6, 3, 5, 8, 9, 4, 7, 2, 5, 1, 4, 2, 9, 7, 6, 3, 8, 6, 9, 2, 3, 1, 8, 7, 5, 4, 3, 8, 7, 6, 4, 5, 9, 2, 1 ]
93
[ 9, 0, 0, 0, 0, 8, 0, 1, 0, 0, 0, 2, 5, 3, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 5, 0, 0, 6, 0, 9, 0, 0, 0, 9, 2, 0, 0, 7, 0, 1, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 3, 4, 0, 2, 0, 4, 5, 0, 0, 0, 8 ]
[ 9, 5, 7, 6, 2, 8, 4, 1, 3, 6, 4, 2, 5, 3, 1, 8, 7, 9, 8, 3, 1, 7, 9, 4, 2, 5, 6, 2, 1, 8, 3, 7, 9, 6, 4, 5, 4, 7, 5, 1, 8, 6, 3, 9, 2, 3, 6, 9, 2, 4, 5, 7, 8, 1, 5, 9, 4, 8, 6, 3, 1, 2, 7, 7, 8, 6, 9, 1, 2, 5, 3, 4, 1, 2, 3, 4, 5, 7, 9, 6, 8 ]
94
[ 0, 5, 0, 0, 4, 0, 0, 0, 9, 1, 0, 2, 0, 0, 8, 0, 0, 5, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 3, 0, 9, 0, 0, 8, 0, 2, 0, 0, 7, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 3, 6, 0, 0, 0, 0, 7, 0, 0, 0, 7, 9, 0, 6, 0, 8, 0 ]
[ 3, 5, 8, 7, 4, 2, 6, 1, 9, 1, 7, 2, 6, 9, 8, 3, 4, 5, 4, 6, 9, 1, 5, 3, 8, 2, 7, 8, 9, 4, 5, 6, 1, 7, 3, 2, 7, 1, 5, 3, 2, 9, 4, 6, 8, 6, 2, 3, 8, 7, 4, 5, 9, 1, 2, 8, 1, 4, 3, 7, 9, 5, 6, 9, 3, 6, 2, 8, 5, 1, 7, 4, 5, 4, 7, 9, 1, 6, 2, 8, 3 ]
95
[ 0, 0, 7, 1, 0, 5, 9, 0, 0, 0, 8, 2, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 8, 4, 0, 0, 0, 1, 0, 0, 7, 0, 0, 6, 0, 0, 2, 0, 0, 1, 0, 0, 0, 3, 0, 3, 8, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 5, 3, 0, 1, 0, 9 ]
[ 3, 4, 7, 1, 6, 5, 9, 2, 8, 6, 8, 2, 4, 9, 7, 3, 1, 5, 5, 9, 1, 3, 8, 2, 7, 4, 6, 7, 6, 3, 2, 5, 8, 4, 9, 1, 4, 1, 5, 9, 7, 3, 8, 6, 2, 8, 2, 9, 6, 1, 4, 5, 7, 3, 9, 3, 8, 7, 2, 1, 6, 5, 4, 1, 5, 6, 8, 4, 9, 2, 3, 7, 2, 7, 4, 5, 3, 6, 1, 8, 9 ]
96
[ 0, 0, 0, 0, 7, 4, 0, 2, 3, 0, 3, 9, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 7, 0, 0, 0, 5, 0, 0, 3, 0, 0, 0, 4, 0, 4, 0, 8, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 6, 9, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 1, 0, 0, 7, 2, 4, 0, 0, 9, 5, 0, 2, 0, 0, 0, 0 ]
[ 5, 1, 6, 9, 7, 4, 8, 2, 3, 7, 3, 9, 2, 6, 8, 4, 1, 5, 4, 2, 8, 3, 1, 5, 7, 9, 6, 9, 5, 7, 1, 3, 2, 6, 8, 4, 6, 4, 2, 8, 5, 9, 3, 7, 1, 1, 8, 3, 7, 4, 6, 9, 5, 2, 2, 7, 4, 6, 8, 1, 5, 3, 9, 3, 6, 1, 5, 9, 7, 2, 4, 8, 8, 9, 5, 4, 2, 3, 1, 6, 7 ]
97
[ 0, 0, 7, 2, 0, 0, 5, 0, 0, 0, 0, 2, 3, 0, 0, 0, 0, 6, 4, 0, 0, 0, 0, 0, 0, 9, 0, 8, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 6, 4, 0, 0, 0, 0, 0, 1, 6, 0, 0, 0, 0, 2, 8, 1, 2, 0, 0, 7, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 4, 3, 0, 0, 0, 1 ]
[ 6, 8, 7, 2, 1, 9, 5, 4, 3, 9, 5, 2, 3, 8, 4, 7, 1, 6, 4, 3, 1, 5, 6, 7, 8, 9, 2, 8, 4, 9, 1, 5, 2, 6, 3, 7, 2, 7, 3, 6, 4, 8, 1, 5, 9, 5, 1, 6, 7, 9, 3, 4, 2, 8, 1, 2, 5, 9, 7, 6, 3, 8, 4, 3, 6, 4, 8, 2, 1, 9, 7, 5, 7, 9, 8, 4, 3, 5, 2, 6, 1 ]
98
[ 4, 8, 0, 0, 0, 0, 2, 0, 0, 0, 0, 5, 0, 0, 1, 0, 0, 9, 0, 0, 0, 0, 0, 8, 1, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 7, 1, 0, 9, 0, 0, 0, 0, 3, 0, 0, 9, 8, 0, 0, 0, 0, 0, 0, 6, 4, 0, 5, 0, 8, 6, 0, 0, 5, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8 ]
[ 4, 8, 1, 5, 9, 7, 2, 6, 3, 2, 3, 5, 6, 4, 1, 7, 8, 9, 9, 7, 6, 2, 3, 8, 1, 4, 5, 7, 4, 9, 3, 8, 6, 5, 1, 2, 6, 2, 8, 7, 1, 5, 9, 3, 4, 5, 1, 3, 4, 2, 9, 8, 7, 6, 1, 9, 2, 8, 6, 4, 3, 5, 7, 8, 6, 7, 9, 5, 3, 4, 2, 1, 3, 5, 4, 1, 7, 2, 6, 9, 8 ]
99
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The sudoku-extreme-1k-aug-1000 used in the Tiny Recursion Models (TRM) paper hosted here for convenience.

NOTE: Value encoding. The original TRM data uses 1..10. We shift everything down by 1, so final values are 0..9 where 0 = empty and 1..9 = digits 1..9.

Generated with the official code by running:

python dataset/build_sudoku_dataset.py --output-dir data/sudoku-extreme-1k-aug-1000  --subsample-size 1000 --num-aug 1000  # 1000 examples, 1000 augments

and then

from pathlib import Path
import numpy as np
from datasets import Dataset, DatasetDict, Features, Sequence, Value

data_dir = Path("./data/sudoku-extreme-1k-aug-1000/")

def load_split(split):
    d = data_dir / split
    # note: shift down by 1 to have values in 0..9 instead of 1..10
    X = np.load(d / "all__inputs.npy") - 1
    y = np.load(d / "all__labels.npy") - 1
    # exclude last entry to match shapes
    idx = np.load(d / "all__puzzle_indices.npy")[:-1]
    # ids = np.load(d / "all__puzzle_identifiers.npy") # omitting since all zeros
    return X, y, idx.astype(np.int32)


X_train, y_train, idx_train = load_split("train")
X_test, y_test, idx_test = load_split("test")

features = Features(
    {
        "inputs": Sequence(Value("uint8"), length=81),
        "labels": Sequence(Value("uint8"), length=81),
        "puzzle_index": Value("int32"),
    }
)

ds_train = Dataset.from_dict(
    {"inputs": X_train, "labels": y_train, "puzzle_index": idx_train}, features=features
)
ds_test = Dataset.from_dict(
    {"inputs": X_test, "labels": y_test, "puzzle_index": idx_test}, features=features
)

dset = DatasetDict({"train": ds_train, "test": ds_test})

repo_id = "emiliocantuc/sudoku-extreme-1k-aug-1000"
dset.push_to_hub(repo_id, private=False)
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