3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,17,17,17,17,17,17,17,17,17,17,17,17,3,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,17,17,17,17,17,17,17,17,17,17,17,17,3,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,17,17,17,17,17,17,17,17,17,17,17,17,3,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,17,17,17,17,17,17,17,17,17,17,17,17,3,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,324,324,324,17,17,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,17,17,17,17,17,17,17,17,17,17,17,17,3,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,17,17,17,17,17,17,17,17,17,17,17,17,3,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,17,17,17,17,17,17,17,17,17,17,17,17,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,17,17,17,17,17,17,17,17,17,17,17,17,3,17,17,17,17,17,17,17,17,3,17,17,17,17,17,17,17,17,17,17,17,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,17,17,17,17,17,17,17,17,17,17,17,17,3,17,17,17,17,17,17,17,17,3,17,17,17,17,17,17,17,17,17,17,17,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,17,17,17,17,17,17,17,17,17,17,17,17,3,17,17,17,17,17,17,17,17,3,17,17,17,17,17,17,17,17,17,17,17,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,17,17,17,17,17,17,17,17,17,17,17,17,3,17,17,3,3,3,3,3,3,3,17,17,17,17,17,17,17,17,17,17,17,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,17,17,17,17,17,17,17,17,17,17,17,17,3,17,17,17,17,17,17,17,17,3,17,17,17,17,17,17,17,17,17,17,17,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,17,17,17,17,17,17,17,17,17,17,17,17,3,17,17,17,17,17,17,17,17,3,17,17,17,17,17,17,17,17,17,17,17,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,17,17,17,17,17,17,17,17,17,17,17,17,3,17,17,17,17,17,17,17,17,3,17,17,17,17,17,17,17,17,17,17,17,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,17,17,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,17,17,17,17,17,17,17,17,17,17,17,17,17,17,3,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,17,17,17,17,17,17,17,17,17,17,17,17,17,17,3,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,17,17,17,17,17,17,17,17,17,17,17,17,17,17,3,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,17,17,17,17,17,17,17,17,17,17,17,17,17,17,3,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,17,17,3,3,3,324,324,324,17,17,17,17,17,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,3,17,17,17,17,17,17,17,17,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,3,17,17,17,17,17,17,17,17,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,324,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,324,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,0,0,0,0,
0,0,0,0,0,0,0,0,0,324,0,0,0,0,0,0,0,0,0,0,0,0,324,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,324,0,0,0,0,
0,0,0,0,0,0,0,0,0,324,0,0,0,0,0,0,0,0,0,0,0,0,324,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,324,0,0,0,0,
0,0,0,0,0,0,0,0,0,324,0,266,267,0,0,0,0,0,0,0,0,0,324,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,324,0,0,0,0,
0,0,0,0,0,0,0,0,0,324,0,282,283,0,0,0,0,0,0,0,0,0,324,0,0,0,0,0,0,0,0,0,0,0,0,0,0,324,0,0,0,0,0,324,0,0,0,0,
0,0,0,0,0,0,0,0,0,324,324,324,324,324,324,324,324,324,324,324,324,324,324,0,0,0,0,0,0,0,0,0,0,0,0,0,0,324,0,0,0,0,0,324,0,0,0,0,
0,0,0,0,0,0,0,0,0,324,0,0,0,0,0,0,0,0,0,0,0,0,324,0,266,267,0,0,0,0,0,0,0,0,0,0,0,324,0,0,0,0,0,324,0,0,0,0,
0,0,0,0,0,0,0,0,0,324,0,0,0,0,0,0,0,0,0,0,0,0,324,0,282,283,0,0,0,0,0,0,0,0,0,0,0,324,0,0,0,0,0,324,0,0,0,0,
0,0,0,0,0,0,0,0,0,324,0,0,0,0,0,0,0,0,0,0,0,0,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,0,0,0,0,
0,0,0,0,0,0,0,0,0,324,0,324,324,324,324,324,324,324,324,324,324,324,324,0,0,0,0,0,0,0,0,324,0,0,0,0,0,0,0,0,0,0,0,324,0,0,0,0,
0,0,0,0,0,0,0,0,0,324,0,0,0,0,0,0,0,0,0,0,0,0,324,0,0,0,0,0,266,267,0,324,0,0,0,0,0,0,0,0,0,0,0,324,0,0,0,0,
0,0,0,0,0,0,0,0,0,324,0,0,0,0,0,0,0,0,0,0,0,0,324,0,0,0,0,0,282,283,0,324,0,0,0,0,0,0,0,0,0,0,0,324,0,0,0,0,
0,0,0,0,0,0,0,0,0,324,324,324,324,0,0,0,324,324,324,324,324,324,324,0,0,324,324,324,324,324,324,324,0,0,0,0,0,0,0,0,0,0,0,324,0,0,0,0,
0,0,0,0,0,0,0,0,0,324,0,0,0,0,0,0,0,0,0,0,0,0,324,0,0,0,0,0,0,0,0,324,0,0,0,0,0,0,0,0,0,0,0,324,0,0,0,0,
0,0,0,0,0,0,0,0,0,324,0,0,0,0,0,0,0,0,266,267,0,0,324,0,0,0,0,0,0,0,0,324,0,0,0,0,0,0,0,0,0,266,267,324,0,0,0,0,
0,0,0,0,0,0,0,0,0,324,0,0,0,0,0,0,0,0,282,283,0,0,324,0,0,0,0,0,0,0,0,324,0,0,0,0,0,0,0,0,0,282,283,324,0,0,0,0,
0,0,0,0,0,0,0,0,0,324,0,0,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,0,0,0,0,
0,0,0,0,0,0,0,0,0,324,0,0,0,0,0,0,0,0,0,0,0,0,0,0,324,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,324,0,0,0,0,
0,0,0,0,0,0,0,0,0,324,0,0,0,0,0,0,0,0,0,0,0,0,0,0,324,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,324,0,0,0,0,
0,0,0,0,0,0,0,0,0,324,266,267,0,0,0,0,0,0,0,0,0,266,267,0,324,0,266,267,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,324,0,0,0,0,
0,0,0,0,0,0,0,0,0,324,282,283,0,0,0,0,0,0,0,0,0,282,283,0,324,0,282,283,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,324,0,0,0,0,
0,0,0,0,0,0,0,0,0,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,0,0,324,324,324,0,0,0,0,0,0,0,0,324,0,0,0,0,
0,0,0,0,0,0,0,0,0,324,0,266,267,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,324,266,267,0,0,0,0,0,0,324,0,0,0,0,
0,0,0,0,0,0,0,0,0,324,0,282,283,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,324,282,283,0,0,0,0,0,0,324,0,0,0,0,
0,0,0,0,0,0,0,0,0,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,0,0,0,0,
0,0,0,0,0,0,0,0,0,324,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,324,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,324,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,266,267,0,0,324,0,0,266,267,0,0,0,0,0,0,0,0,0,0,0,0,324,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,282,283,0,0,324,0,0,282,283,0,0,0,0,0,0,0,0,0,0,0,0,324,0,0,0,0,
1,1,1,1,1,1,1,1,1,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,1,1,1,1
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,293,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,324,324,324,324,324,324,324,324,324,324,36,36,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,36,36,36,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,36,36,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,293,0,0,0,0,0,0,0,0,357,0,0,0,0,0,0,0,0,0,0,0,0,0,327,0,0,266,267,0,0,36,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,327,0,0,0,356,356,356,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,282,283,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,356,357,356,357,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,36,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,293,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,356,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,356,356,0,0,0,0,0,0,0,0,0,0,0,0,0,0,36,36,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,357,0,0,0,0,0,36,36,36,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,293,0,0,0,0,0,36,0,0,293,0,0,0,0,0,0,0,357,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,327,0,0,0,0,0,0,0,0,0,0,0,266,267,0,0,356,0,357,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,5,5,0,0,0,0,0,0,0,0,0,0,0,0,0,282,283,0,0,356,0,356,0,0,0,0,0,0,0,0,0,0,0,0,0,
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