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3,487,488,490,505,19,67,35,35,35,3,3,3,51,51,19,67,3,35,503,491,489,3,51,19,19,3,51,19,3,51,19,3,51,19,3,51,3,51,19,51,19,67,51,487,490,504,491,488,488,488,488,488,554,472,521,3,51,19,19,3,35,35,3,51,3,51,19,35,35,76,62,94,3,51,19,67,35,35,35,3,3,503,504,505,19,67,3,35,35,3,51,3,51,19,551,539,488,488,488,490,505,35,35,3,51,3,51,19,19,3,67,35,3,35,67,35,51,19,67,3,67,67,67,67,19,3,51,67,51,51,3,3,3,19,67,51,67,67,3,67,67,3,3,3,3,3,3,19,19,
472,507,490,505,35,3,51,19,471,472,473,67,35,35,3,35,35,3,51,19,487,489,35,35,3,3,3,51,19,3,51,19,1014,51,19,3,51,3,51,19,3,51,19,3,487,489,35,503,491,488,488,488,488,488,488,537,35,35,3,3,3,51,19,67,35,35,471,473,51,19,92,93,94,35,1014,3,51,19,51,19,67,67,35,35,3,35,35,3,51,19,67,35,35,35,3,3,535,488,488,488,489,3,51,19,67,35,35,35,3,3,19,3,3,3,3,67,35,35,35,35,19,19,19,35,3,51,67,19,51,51,19,67,67,67,51,67,67,51,3,3,3,19,67,67,3,3,3,51,3,3,
504,504,505,51,19,67,19,471,507,490,505,19,51,19,67,51,19,35,35,3,487,554,473,19,67,67,35,35,3,51,19,3,35,35,3,35,35,35,35,3,35,35,3,35,487,537,51,19,487,488,488,488,488,488,488,554,472,521,67,67,35,35,3,51,19,51,503,505,3,51,92,93,110,51,19,67,19,3,51,471,473,19,51,19,67,471,473,35,35,3,51,19,51,19,67,67,551,539,488,490,505,35,35,3,51,19,51,19,67,67,35,35,67,51,67,35,3,51,19,3,51,35,3,3,67,67,67,3,51,67,67,3,19,19,67,67,3,3,3,3,3,67,67,3,3,3,3,3,3,35,
3,35,35,3,35,35,3,487,490,505,35,3,3,51,19,3,51,51,19,67,503,504,505,3,51,19,51,19,35,35,3,67,3,51,19,51,19,51,471,472,473,19,67,51,487,554,472,472,507,490,504,491,488,488,488,488,490,505,51,19,51,19,67,19,3,51,35,35,35,76,62,45,35,3,35,35,3,35,35,487,506,473,3,51,471,507,554,472,473,67,19,3,51,3,51,19,3,503,504,505,51,51,19,67,19,3,51,3,51,19,3,35,35,3,67,51,3,67,35,67,3,19,51,67,19,35,3,19,51,3,3,3,67,19,19,3,51,3,67,67,67,51,3,3,19,3,3,3,3,3,
67,51,19,67,51,19,67,487,489,51,471,473,35,35,3,35,35,3,35,35,3,35,35,35,35,3,3,51,51,19,67,3,35,35,3,51,471,472,507,490,505,51,19,51,503,491,488,490,504,505,35,551,491,488,488,488,489,35,35,3,3,35,35,3,35,35,35,35,51,92,93,94,19,67,51,19,67,51,19,503,504,505,35,35,487,488,488,488,489,35,3,35,35,35,35,3,35,35,3,35,35,3,35,35,3,35,35,35,35,3,67,67,3,3,19,35,35,51,51,35,35,19,67,35,19,43,44,51,3,51,19,67,67,19,19,35,19,3,3,67,3,3,3,67,3,69,70,70,71,3,
19,51,19,3,51,19,3,487,554,472,507,489,51,19,67,51,19,67,471,472,472,473,19,51,19,67,35,35,3,35,35,3,51,19,67,471,507,490,504,505,35,35,3,35,3,487,488,489,67,51,19,67,551,491,488,488,489,51,19,67,67,51,19,67,51,19,51,19,3,92,93,94,19,3,51,19,3,51,19,3,51,19,51,471,507,488,488,490,505,19,67,51,19,67,35,67,51,19,67,51,19,67,51,19,67,51,19,51,19,67,3,19,51,51,67,3,3,67,35,35,19,35,3,35,43,44,67,35,3,19,3,3,3,51,35,19,51,19,67,67,3,3,3,3,51,85,86,86,99,70,
51,19,3,1014,19,3,51,503,504,491,538,505,19,51,19,51,19,3,503,491,488,506,473,3,51,19,51,19,67,51,19,35,35,3,51,503,504,505,67,67,51,19,67,19,3,503,504,505,19,51,19,3,51,551,491,488,554,473,51,471,473,51,19,19,35,35,35,35,35,35,45,110,3,35,35,3,35,35,3,35,35,3,3,487,488,488,488,489,51,19,3,51,19,67,1014,35,3,51,19,51,19,3,51,19,3,51,19,3,51,19,35,3,67,3,19,67,67,67,59,60,35,35,51,35,3,3,19,35,35,3,67,67,3,3,67,19,51,3,3,67,67,3,67,67,3,85,86,86,86,86,
51,19,3,51,19,3,51,19,3,503,505,51,19,35,471,520,473,35,35,487,488,488,554,473,35,3,3,51,19,3,51,51,19,67,19,3,51,3,51,19,3,3,51,19,35,35,35,35,3,35,3,35,35,3,487,488,488,554,472,507,489,35,19,35,35,35,35,35,35,19,67,19,3,519,520,521,51,19,67,51,19,67,471,555,488,488,538,553,35,3,35,35,3,51,67,35,35,35,3,35,3,35,35,3,35,35,3,35,35,3,35,51,67,3,67,3,67,51,19,3,19,35,3,67,3,35,3,3,3,19,67,35,35,59,60,67,35,3,35,67,67,3,3,3,3,101,84,86,86,86,
35,3,51,19,3,35,35,3,35,35,35,35,471,472,507,536,506,473,19,487,488,490,504,505,19,67,35,35,3,35,35,3,35,35,3,35,35,35,35,3,35,35,35,3,51,19,51,19,67,19,3,51,19,67,551,504,491,488,488,490,505,19,19,35,35,35,35,35,3,3,51,19,35,535,536,537,51,519,473,3,51,471,555,488,488,490,505,51,19,67,51,19,67,51,67,35,35,19,67,19,3,51,19,67,51,19,67,51,19,67,67,35,35,19,35,51,67,19,3,51,51,35,35,67,3,35,67,3,3,35,51,67,35,35,67,3,51,35,3,3,3,19,51,3,3,35,101,84,83,102,
19,35,35,3,67,3,51,19,51,19,51,19,487,488,488,488,488,506,472,507,490,505,19,3,51,19,51,19,67,51,471,473,51,19,67,51,19,51,19,67,3,51,19,51,19,3,3,3,51,19,35,35,3,3,51,19,551,491,488,537,35,3,3,51,19,19,3,51,35,35,35,3,51,551,539,554,472,555,489,35,471,555,488,488,490,505,35,35,3,3,51,19,19,3,51,19,19,3,51,19,35,35,3,3,51,19,19,3,51,19,35,35,35,67,19,19,35,35,67,3,19,51,35,35,67,35,67,35,51,35,35,51,35,67,3,67,19,67,3,3,3,3,3,35,51,67,67,101,103,3,
51,51,19,67,3,35,35,3,51,3,51,19,503,491,488,488,488,488,490,504,505,3,3,35,35,3,3,51,19,51,487,554,473,19,3,51,19,3,51,19,35,35,3,1014,3,35,35,35,35,3,51,19,67,35,35,3,3,487,488,489,19,67,35,35,3,3,35,35,3,51,19,51,19,3,487,488,488,488,554,472,507,488,488,490,505,3,51,19,67,35,35,3,3,35,35,51,19,35,35,3,51,19,471,472,473,3,3,35,35,3,35,51,51,51,19,19,67,3,35,19,35,67,19,35,3,51,67,35,35,19,51,3,19,67,19,3,35,3,35,67,3,51,3,3,19,19,3,3,3,3,
35,3,35,35,3,51,19,67,35,35,471,473,3,487,488,488,490,504,505,19,19,51,19,51,19,67,35,471,472,472,507,488,489,3,35,35,3,35,35,3,51,19,67,19,67,51,3,51,19,51,19,3,51,19,3,51,19,551,491,554,473,51,19,3,51,19,51,19,35,35,3,35,3,35,503,504,504,491,488,488,488,488,488,554,473,51,19,3,51,19,3,51,19,51,19,67,3,51,19,51,19,471,555,488,554,473,19,51,19,67,35,35,19,35,19,67,67,35,35,67,19,3,67,35,67,51,3,67,19,51,19,19,51,3,51,35,19,51,67,3,3,3,3,3,3,3,3,3,51,3,
19,67,51,19,35,35,3,51,19,471,507,506,472,507,488,488,489,19,19,19,19,19,3,35,35,3,51,487,490,504,491,490,505,67,51,19,67,51,19,67,3,51,19,3,51,19,35,35,3,471,473,35,35,3,35,35,3,35,551,491,554,473,3,35,35,3,35,471,472,473,67,19,67,51,19,19,19,503,491,488,488,490,504,491,554,473,3,35,35,3,35,471,472,472,473,3,35,35,3,35,471,555,488,488,490,505,3,35,35,3,3,35,67,67,471,473,67,3,67,19,67,67,3,19,3,3,19,3,19,67,51,67,51,51,3,3,19,67,3,67,3,35,3,51,51,3,51,67,35,35,
51,19,3,51,51,19,67,19,3,503,491,488,490,504,491,488,554,473,19,19,19,519,473,51,19,67,3,487,489,19,503,505,3,3,51,19,19,3,51,19,35,35,3,51,19,3,51,19,67,487,489,51,19,67,51,19,67,51,19,551,539,489,67,51,19,67,471,507,490,505,19,3,51,19,19,19,471,472,507,488,490,505,51,503,504,505,67,51,19,67,51,487,490,504,505,67,51,19,67,19,503,504,504,491,489,19,67,51,19,67,67,3,67,519,507,506,473,3,67,35,35,3,19,51,3,35,35,67,51,19,35,19,3,3,67,67,67,19,3,3,3,67,3,3,3,67,19,3,3,67,
35,3,35,35,3,35,35,3,35,35,503,504,505,51,487,488,488,554,472,472,472,507,537,3,51,19,35,503,505,3,51,19,67,35,35,3,3,35,35,3,471,472,472,472,472,473,3,471,472,507,554,472,472,472,473,3,51,3,51,19,535,489,51,19,3,51,503,504,505,35,3,51,19,3,471,472,507,488,488,490,505,3,3,51,19,1014,51,19,3,51,471,507,506,472,473,19,3,51,19,3,51,19,3,503,505,3,51,3,51,19,3,3,67,535,538,539,537,67,51,3,35,35,35,51,19,35,3,67,3,3,19,19,3,67,51,35,35,67,35,67,67,19,19,3,3,3,3,35,19,19,
19,67,51,19,67,51,19,67,51,19,51,19,67,35,503,491,490,504,491,488,488,488,489,35,35,3,3,51,19,51,19,3,51,19,3,51,19,51,19,67,503,491,488,488,488,554,472,555,488,488,488,488,488,490,505,35,35,35,35,3,535,489,35,3,35,35,35,35,51,19,35,35,3,67,535,488,488,488,488,489,19,67,35,35,3,51,19,3,35,35,503,491,490,504,505,3,35,35,3,51,19,3,35,35,3,35,35,35,35,3,67,3,3,487,554,555,489,67,51,3,67,3,67,19,3,67,35,19,19,67,51,19,35,3,19,19,67,3,3,67,3,19,51,3,35,35,51,51,19,51,
51,19,51,19,3,51,19,3,51,19,3,51,19,19,35,487,489,67,503,504,504,539,489,51,19,67,35,35,3,35,3,35,35,3,35,35,3,35,471,473,35,487,488,488,490,504,504,504,491,488,490,504,491,489,19,51,19,51,19,67,503,505,51,19,51,19,51,19,3,51,51,19,67,471,555,538,504,539,488,537,19,19,51,19,35,35,3,67,3,51,19,503,505,51,19,67,51,19,35,35,3,67,3,1014,67,35,19,51,19,67,3,67,67,503,504,552,553,3,3,3,51,67,3,19,19,3,3,471,473,35,51,35,51,51,67,3,51,51,67,67,3,67,35,35,51,67,67,69,70,70,
473,3,471,472,521,35,3,35,35,3,35,35,3,51,51,503,505,3,35,35,3,551,553,51,19,19,51,19,67,19,67,51,19,67,51,19,67,51,487,554,472,507,488,490,505,35,3,35,487,488,489,3,503,505,3,51,3,51,19,19,3,35,35,3,51,3,51,19,35,35,3,35,35,551,552,553,67,503,539,506,521,3,3,51,51,19,67,3,35,35,3,51,3,51,19,19,3,51,51,19,67,67,35,35,35,35,3,51,19,19,51,3,51,3,3,3,51,3,19,3,3,67,3,35,51,51,19,487,489,35,35,35,67,67,35,35,67,19,67,67,3,51,3,67,19,19,3,85,86,86,
554,472,507,488,537,19,67,51,19,67,51,19,67,35,3,35,35,3,51,19,67,35,35,35,3,3,3,51,19,3,51,19,3,51,19,3,51,471,507,488,488,490,504,505,35,19,67,51,487,488,554,473,51,19,67,763,763,763,471,473,3,51,19,67,35,35,35,3,51,19,67,51,19,35,35,3,51,19,487,488,537,67,35,35,3,35,35,3,51,19,67,35,35,35,3,3,35,35,3,35,763,763,763,763,35,19,35,35,3,3,3,67,67,19,3,19,67,51,67,35,35,51,67,3,67,19,471,507,554,473,35,35,35,67,67,35,3,35,35,3,3,51,19,69,70,70,70,87,102,102,
504,504,491,488,554,521,3,51,19,19,3,51,19,19,67,51,19,35,35,3,51,19,51,19,67,67,35,35,3,51,19,3,471,473,3,35,471,507,488,488,490,505,35,35,3,19,3,51,487,488,490,505,35,3,51,763,763,763,487,489,35,35,3,51,19,51,471,473,3,51,19,3,51,51,19,67,19,3,503,491,489,19,51,19,67,51,19,35,35,3,51,19,51,19,67,67,471,473,763,763,763,763,763,763,763,19,51,19,67,67,3,35,35,35,67,67,3,67,51,51,35,51,19,3,35,35,503,491,490,505,51,67,67,35,3,67,35,67,51,51,67,69,70,83,102,84,86,103,19,51,
19,51,503,491,488,537,35,35,3,3,35,35,3,51,19,3,51,51,19,67,19,3,51,3,51,19,51,19,35,35,3,67,487,554,472,472,507,488,488,490,505,35,1014,3,35,51,35,471,507,488,489,51,19,67,763,763,763,763,487,554,472,473,67,19,3,51,487,554,473,35,763,35,35,3,35,35,3,35,35,487,489,3,3,51,19,3,51,51,19,67,19,3,51,3,471,472,507,489,763,763,763,763,763,763,763,763,51,3,51,19,67,67,51,3,35,19,67,3,471,473,35,3,35,67,35,67,19,503,505,35,35,3,67,51,51,3,67,51,51,67,3,85,83,103,51,101,103,35,67,35,
51,19,51,503,491,489,19,3,51,19,51,19,67,35,3,471,473,3,35,35,3,763,763,763,763,3,3,51,51,19,67,3,487,488,488,488,488,488,488,489,3,35,3,35,3,471,472,507,488,488,489,3,35,35,763,763,763,763,487,488,488,505,35,3,35,471,507,488,537,763,763,763,19,67,1014,19,67,51,471,507,554,473,35,35,3,35,35,3,35,35,3,35,35,471,507,488,490,505,763,763,763,763,763,763,763,763,35,35,35,3,35,35,67,19,67,3,35,19,487,506,472,473,67,35,35,35,35,35,67,35,35,67,51,3,3,67,3,3,3,3,3,85,86,70,71,19,3,3,51,69,
1033,51,19,51,487,489,3,35,35,3,35,35,3,471,472,507,554,520,472,472,473,763,471,473,763,471,473,35,3,35,35,3,503,504,504,491,488,488,488,554,473,19,67,51,51,503,504,491,488,490,505,763,763,763,763,763,763,51,503,504,505,51,19,67,471,507,490,504,505,763,763,763,763,3,51,19,3,51,551,552,491,489,51,19,67,51,19,67,471,472,472,472,520,555,488,490,505,763,763,763,763,763,51,19,763,51,19,51,19,67,51,35,35,67,51,19,19,3,503,504,491,506,473,35,19,35,67,19,3,51,51,35,51,67,67,35,35,3,67,67,67,101,102,84,87,3,35,19,51,85,
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2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,0,2,2,0,0,0,2,2,0,0,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,0,0,2,2,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,2,2,0,2,2,2,2,2,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,2,2,0,0,0,0,0,2,2,2,2,0,0,0,0,0,2,2,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,2,2,0,0,0,2,2,0,2,2,0,2,2,0,2,2,0,0,0,0,0,2,2,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,2,2,0,0,2,2,0,0,0,2,2,0,0,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,2,2,0,0,0,0,0,0,0,0,2,2,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,2,2,0,0,2,2,0,0,2,2,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,2,2,0,0,0,0,2,2,0,0,0,0,0,0,0,2,2,0,0,0,2,2,0,0,0,0,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,2,2,0,0,0,0,2,2,0,0,0,2,2,0,0,2,2,2,2,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,0,0,0,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,0,0,2,2,2,2,0,0,0,0,0,2,2,0,2,2,2,2,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,0,0,2,2,0,0,0,2,0,0,0,0,0,0,2,2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,0,0,2,2,0,0,0,2,0,0,2,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,0,2,0,0,2,0,2,0,0,0,0,2,2,0,0,0,2,2,0,0,0,2,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,2,2,0,0,0,2,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,0,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,0,0,0,0,0,2,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,2,0,2,0,2,0,0,0,2,0,2,0,2,0,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,0,0,0,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,0,2,0,0,0,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,0,2,0,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,2,2,2,2,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,0,2,0,0,0,2,0,0,0,0,0,2,2,0,2,0,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,2,2,2,0,0,0,0,2,2,0,2,0,2,0,0,0,0,0,2,2,2,2,2,0,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,0,2,0,0,0,0,0,0,0,0,0,2,2,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,2,2,2,0,0,0,0,0,0,0,2,2,0,0,0,0,2,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,0,2,2,2,0,2,0,2,2,0,0,0,0,2,2,0,0,0,0,2,2,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,2,0,0,2,2,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,0,0,0,2,2,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,2,2,2,0,0,0,0,2,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,0,2,0,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,2,0,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,0,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,2,0,0,0,0,0,0,0,2,2,0,0,0,0,2,2,0,0,0,0,2,2,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,2,0,0,0,2,2,2,0,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,0,2,0,0,2,0,0,2,0,0,0,0,2,2,2,2,2,2,0,0,2,0,2,0,2,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,2,0,2,0,2,0,2,0,2,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,2,2,0,0,0,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,2,0,0,0,0,0,0,0,2,2,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,2,0,0,2,2,2,2,2,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,0,2,0,2,2,0,0,0,0,0,0,0,2,2,2,0,2,0,2,0,0,0,0,0,0,0,2,2,2,2,2,0,2,0,2,0,2,2,0,0,0,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,0,0,2,0,0,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,0,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,2,2,2,0,0,0,0,0,2,0,2,2,0,2,0,2,0,2,0,2,0,2,0,2,0,0,0,0,0,0,2,0,2,0,2,0,2,0,2,0,2,0,2,2,2,2,2,2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,0,0,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,2,0,0,2,2,2,2,2,0,2,2,2,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,2,2,2,2,2,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,0,0,2,0,0,0,0,2,2,2,2,0,2,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,0,2,2,2,0,2,0,2,2,0,0,0,2,2,0,0,0,0,0,2,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,2,0,2,0,2,0,0,2,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,0,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,0,2,0,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,0,2,0,2,2,2,0,0,0,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,2,2,0,0,0,0,2,0,2,0,0,0,0,0,0,2,0,2,0,0,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,0,2,0,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,0,0,0,2,2,0,2,0,2,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,0,2,2,2,2,2,2,0,2,0,2,0,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,0,0,0,2,0,2,0,2,0,2,2,2,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,0,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,2,2,0,0,0,0,2,0,2,0,2,0,0,2,0,2,0,2,0,0,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,2,0,2,0,2,0,2,0,2,0,2,0,0,0,2,0,2,0,2,0,2,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,0,2,0,2,0,0,0,2,0,2,2,2,0,0,0,0,0,2,0,2,0,0,2,0,2,0,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,0,2,0,2,0,0,0,0,2,2,2,0,0,0,0,2,2,2,0,2,0,0,2,0,2,0,2,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,0,2,2,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,0,0,2,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,2,2,0,2,0,2,2,2,2,2,0,2,2,2,2,0,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,0,0,0,2,0,2,2,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,2,2,2,2,0,0,0,2,2,0,0,2,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,0,2,2,0,2,2,0,0,0,2,2,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,2,2,2,0,0,2,2,0,0,0,0,2,2,0,2,2,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,2,2,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,0,0,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,2,0,0,2,2,2,0,0,0,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,0,0,0,0,0,2,2,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,2,2,2,2,0,0,0,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,2,2,0,0,0,2,0,0,0,0,2,2,2,2,2,2,0,0,0,2,0,0,0,0,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,2,2,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,2,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,0,2,0,0,2,2,2,0,0,0,0,2,0,0,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,2,2,2,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,0,0,0,0,0,2,0,0,0,0,2,2,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
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