51,51,503,491,554,473,19,3,51,3,51,19,3,51,19,3,51,19,3,51,19,3,51,3,51,19,35,35,3,51,503,491,488,488,490,553,503,491,488,488,506,473,19,19,503,504,491,488,488,488,537,19,3,51,19,3,51,3,51,19,19,3,51,19,3,51,3,35,35,35,35,92,94,35,3,51,19,3,51,3,51,19,3,51,19,3,51,19,3,51,19,3,51,3,51,19,3,519,555,488,488,488,490,505,19,3,51,3,51,19,3,3,67,3,51,3,67,3,35,67,67,3,35,3,67,3,3,3,3,67,3,67,67,67,67,3,3,3,3,3,3,3,3,3,19,19,3,3,3,101,
51,51,51,487,488,554,473,35,35,35,35,3,3,51,19,3,51,19,3,51,19,3,51,3,51,19,51,19,35,35,3,503,491,488,554,472,472,507,488,488,488,506,472,473,471,472,507,488,488,488,554,473,3,51,19,3,51,3,51,19,19,3,51,19,3,51,3,35,35,35,35,92,94,3,35,35,3,35,35,35,471,472,473,51,19,3,51,19,3,51,19,3,51,3,51,19,3,535,488,488,488,488,489,51,19,3,51,3,51,19,51,51,35,67,35,51,3,3,3,19,35,19,67,67,3,35,67,67,67,3,51,67,67,3,51,3,67,67,67,3,3,3,19,3,3,3,3,19,51,19,
51,471,472,507,490,504,505,51,19,51,19,67,35,35,3,51,19,3,35,35,3,35,35,35,35,3,3,51,51,19,67,3,503,504,504,504,504,504,504,504,491,488,488,506,507,488,488,488,488,488,488,506,473,35,3,35,35,35,35,3,3,35,35,3,35,35,35,35,35,35,35,92,94,67,3,51,19,51,19,51,503,491,506,473,3,51,19,3,35,35,3,35,35,35,35,3,519,555,488,488,488,488,537,35,3,35,35,35,35,3,67,67,67,19,51,51,51,67,67,67,3,19,67,3,35,3,3,67,3,67,51,51,67,67,51,67,3,67,3,67,3,3,3,67,51,51,3,67,3,35,
51,487,488,488,489,35,3,51,3,51,19,19,51,19,35,35,1014,67,3,471,472,473,19,51,19,67,35,35,3,35,35,3,51,19,67,35,35,35,3,3,503,504,504,504,491,488,488,488,488,488,488,488,506,473,19,51,19,51,19,67,67,3,51,19,51,19,51,19,35,35,35,92,94,3,35,35,3,51,3,51,19,503,491,554,473,35,3,67,3,51,19,51,19,51,19,519,555,488,488,488,488,490,553,51,19,51,19,1014,19,67,51,3,67,35,3,3,19,3,19,67,67,35,3,67,51,3,51,3,3,19,3,19,19,67,19,51,3,19,67,3,3,67,3,3,67,67,19,67,3,3,
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,
504,504,505,51,19,67,19,471,507,490,505,19,51,19,67,51,19,35,35,3,487,554,473,19,67,67,35,35,3,51,19,3,35,35,3,35,35,35,35,3,35,35,3,35,487,537,51,19,487,488,488,488,488,488,488,554,472,521,67,67,35,35,3,51,19,51,503,505,3,51,92,93,94,51,19,67,19,3,51,471,473,19,51,19,67,471,473,35,35,3,51,19,51,19,67,67,551,539,488,490,505,35,35,3,51,19,51,19,67,67,35,35,67,51,67,35,3,51,19,3,51,35,3,3,67,67,67,3,51,67,67,3,19,19,67,67,3,3,3,3,3,67,67,3,3,3,3,3,3,35,
3,35,35,3,35,35,3,487,490,505,35,3,3,51,19,3,51,51,19,67,503,504,505,3,51,19,51,19,35,35,3,67,3,51,19,51,19,51,471,472,473,19,67,51,487,554,472,472,507,490,504,491,488,488,488,488,490,505,51,19,51,19,67,19,3,51,35,35,35,76,62,45,110,3,35,35,3,35,35,487,506,473,3,51,471,507,554,472,473,67,19,3,51,3,51,19,3,503,504,505,51,51,19,67,19,3,51,3,51,19,3,35,35,3,67,51,3,67,35,67,3,19,51,67,19,35,3,19,51,3,3,3,67,19,19,3,51,3,67,67,67,51,3,3,19,3,3,3,3,3,
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,
51,19,3,1014,19,3,51,503,504,491,538,505,19,51,19,51,19,3,503,491,488,506,473,3,51,19,51,19,67,51,19,35,35,3,51,503,504,505,67,67,51,19,67,19,3,503,504,505,19,51,19,3,51,551,491,488,554,473,51,471,473,51,19,3,51,19,3,51,35,108,109,110,3,35,35,3,35,35,3,35,35,3,3,487,488,488,488,489,51,19,3,51,19,67,1014,35,3,51,19,51,19,3,51,19,3,51,19,3,51,19,35,3,67,3,19,67,67,67,59,60,35,35,51,35,3,3,19,35,35,3,67,67,3,3,67,19,51,3,3,67,67,3,67,67,3,85,86,86,86,86,
51,19,3,51,19,3,51,19,3,503,505,51,19,35,471,520,473,35,35,487,488,488,554,473,35,3,3,51,19,3,51,51,19,67,19,3,51,3,51,19,3,3,51,19,35,35,35,35,3,35,3,35,35,3,487,488,488,554,472,507,489,35,3,35,35,3,35,35,51,19,67,19,3,519,520,521,51,19,67,51,19,67,471,555,488,488,538,553,35,3,35,35,3,51,67,35,35,35,3,35,3,35,35,3,35,35,3,35,35,3,35,51,67,3,67,3,67,51,19,3,19,35,3,67,3,35,3,3,3,19,67,35,35,59,60,67,35,3,35,67,67,3,3,3,3,101,84,86,86,86,
35,3,51,19,3,35,35,3,35,35,35,35,471,472,507,536,506,473,19,487,488,490,504,505,19,67,35,35,3,35,35,3,35,35,3,35,35,35,35,3,35,35,35,3,51,19,51,19,67,19,3,51,19,67,551,504,491,488,488,490,505,19,67,51,19,67,51,19,3,3,51,19,35,535,536,537,51,519,473,3,51,471,555,488,488,490,505,51,19,67,51,19,67,51,67,35,35,19,67,19,3,51,19,67,51,19,67,51,19,67,67,35,35,19,35,51,67,19,3,51,51,35,35,67,3,35,67,3,3,35,51,67,35,35,67,3,51,35,3,3,3,19,51,3,3,35,101,84,83,102,
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,
19,51,1033,471,507,489,67,51,19,67,51,471,472,507,488,488,488,536,538,552,553,763,487,554,472,507,489,19,67,51,19,35,35,3,763,487,488,488,488,488,537,19,3,51,3,35,35,503,491,489,763,763,763,763,763,763,763,3,51,19,3,51,19,3,503,504,505,763,763,763,763,763,763,763,35,3,35,35,3,35,503,505,3,51,19,51,19,471,555,488,488,488,536,488,488,489,763,763,763,51,19,3,51,19,3,51,19,3,51,19,35,51,67,3,51,67,67,3,35,19,503,491,489,67,35,67,3,51,67,67,3,67,67,67,67,3,3,67,3,3,3,35,35,101,103,51,51,67,35,101,
19,19,471,507,488,537,51,19,3,51,3,487,488,488,488,488,488,488,489,763,763,763,487,490,504,491,554,473,19,3,51,51,763,763,763,487,488,488,488,488,489,3,35,471,472,473,3,35,487,489,3,35,35,763,763,763,763,35,35,3,35,35,3,35,35,763,763,763,763,763,763,763,471,473,19,67,51,19,67,51,19,67,35,35,3,35,3,487,488,488,488,488,488,488,488,554,472,473,3,35,3,35,35,3,35,35,1014,35,35,3,51,19,67,3,51,19,67,51,3,3,3,503,505,51,35,19,67,67,3,35,3,67,67,51,3,67,3,67,67,67,3,3,67,67,67,67,19,67,3,67,
51,1014,487,488,490,553,35,3,35,35,471,507,488,488,488,488,488,488,554,473,763,763,503,505,763,551,552,553,3,35,763,763,763,763,763,487,488,488,488,488,554,472,472,507,488,537,51,35,503,505,3,51,19,67,763,763,763,763,19,67,51,19,67,51,19,763,471,473,763,763,763,763,487,489,3,3,51,19,19,3,51,19,51,19,67,19,471,555,488,488,488,488,488,488,488,538,504,505,67,19,3,51,19,67,51,19,67,51,19,67,67,35,67,51,67,67,67,35,3,19,3,19,3,3,67,35,35,19,3,3,67,3,35,67,3,35,67,35,3,67,67,19,19,3,3,3,3,35,19,19,
19,51,487,488,537,3,51,1014,51,19,551,552,552,552,491,488,488,488,488,554,473,763,763,763,763,763,51,19,67,763,763,763,763,763,763,503,504,504,539,488,490,504,491,488,488,489,35,3,51,19,35,35,3,3,763,763,763,763,51,19,35,3,3,51,471,472,507,489,763,763,763,471,507,554,473,35,35,3,3,35,35,3,3,3,51,19,487,488,488,488,488,488,488,488,488,537,3,3,51,19,35,35,471,472,472,473,19,3,51,19,51,35,35,67,471,472,473,3,51,67,3,3,3,35,35,67,51,19,3,35,67,51,3,3,19,35,35,19,67,67,35,19,51,3,35,35,51,51,19,51,
51,471,507,490,553,35,35,3,51,3,51,19,19,35,503,491,488,488,488,488,537,763,763,763,763,763,763,763,763,763,763,763,763,763,763,763,19,3,551,552,553,35,551,552,539,554,473,35,35,3,51,19,67,35,763,763,763,763,35,3,19,67,35,471,507,490,504,505,3,763,763,503,504,491,489,19,3,51,19,51,19,67,35,471,472,472,555,488,488,488,488,488,488,488,538,553,35,35,35,3,51,19,487,490,504,505,3,35,35,3,67,19,471,472,507,488,554,473,3,35,19,19,3,35,3,35,67,67,51,19,35,35,51,51,3,19,67,19,3,3,35,67,35,35,51,67,67,35,67,35,
471,507,488,537,3,51,19,67,35,35,35,3,3,51,19,503,491,488,488,488,554,472,520,472,472,472,473,763,763,763,763,763,763,763,763,763,763,35,35,3,51,19,67,19,503,504,505,51,19,51,19,471,473,19,3,763,763,763,763,67,3,51,19,551,552,553,51,19,35,35,763,35,3,503,505,3,35,35,3,35,35,3,471,555,488,488,488,538,539,488,488,488,538,504,553,67,3,51,19,51,19,3,487,489,3,51,19,51,19,67,67,471,507,488,490,552,552,505,19,51,67,67,67,19,35,51,51,3,3,35,35,67,471,473,19,51,3,19,67,3,35,51,3,67,19,19,3,3,51,3,
507,488,490,553,35,35,3,51,19,51,19,67,67,35,3,35,503,504,491,488,488,488,536,488,488,490,505,763,763,763,763,763,763,763,763,763,763,51,19,67,471,472,473,3,51,19,35,35,3,35,471,507,537,3,35,35,3,763,35,3,35,35,3,35,35,3,35,35,51,19,67,19,67,51,19,67,51,19,67,51,471,472,555,488,488,488,488,489,535,488,488,538,553,35,35,3,35,35,3,35,3,35,487,554,473,35,3,35,35,3,471,507,488,490,505,51,19,19,67,35,51,3,3,19,3,19,67,35,3,35,3,471,507,489,67,19,35,35,3,3,3,51,19,19,3,3,35,19,51,19,
488,488,489,51,51,19,67,19,3,51,3,51,19,19,67,19,67,51,503,504,504,491,488,490,504,505,763,763,763,763,763,763,763,763,763,19,19,3,51,471,507,490,505,51,19,3,51,19,67,19,503,491,489,67,51,19,67,51,19,67,51,19,67,51,19,67,51,19,3,51,19,3,51,19,3,51,19,3,471,472,555,488,488,538,552,539,488,537,535,538,504,553,67,51,19,67,51,19,67,19,67,51,503,504,505,19,67,51,19,67,503,504,504,505,67,51,51,67,19,35,3,3,35,3,3,19,35,51,19,3,471,507,490,505,35,67,51,19,3,51,35,35,35,51,51,51,51,67,35,35,
488,490,505,35,3,35,35,3,35,35,35,471,473,51,19,3,51,19,3,51,19,503,504,505,763,763,763,763,763,763,763,763,763,763,35,3,3,35,471,507,488,489,35,35,3,67,3,51,19,3,51,487,537,51,19,3,51,3,51,19,19,3,51,19,3,51,3,51,35,35,3,51,19,3,35,35,3,471,555,488,488,488,538,553,19,551,552,553,551,553,19,3,51,3,51,19,3,51,19,3,51,19,3,51,19,3,51,3,51,19,3,35,19,19,35,3,67,35,35,35,51,19,471,472,473,51,3,19,35,67,503,504,505,19,3,35,35,19,3,35,35,3,67,67,67,67,19,67,3,67,
504,505,51,19,67,51,19,67,51,19,471,507,537,35,3,51,19,3,35,35,3,35,35,35,763,763,763,763,763,763,763,763,763,19,3,51,471,472,507,488,488,554,473,19,67,3,35,35,3,51,19,487,554,472,473,35,35,35,35,3,19,35,3,3,3,35,35,1014,51,19,35,35,3,67,3,471,472,555,488,488,488,538,553,35,3,51,769,770,771,35,3,35,35,35,35,3,35,35,3,67,35,3,35,35,3,35,35,35,35,3,19,67,35,3,67,3,51,35,471,472,472,472,507,490,505,35,67,35,67,67,3,51,67,35,19,67,3,51,67,3,35,19,19,3,3,3,3,35,19,19,
51,19,51,19,3,51,19,3,51,471,507,488,489,19,35,35,3,67,3,51,19,51,19,51,19,763,763,763,3,35,3,35,35,3,35,35,551,539,488,488,488,490,505,35,35,3,51,19,35,35,3,503,504,491,489,51,19,51,19,67,19,3,19,51,3,3,3,19,3,51,51,471,472,472,472,555,488,488,488,488,538,553,51,19,35,35,788,789,792,770,770,771,19,51,19,67,51,67,35,35,35,67,763,763,763,51,19,51,19,67,471,472,473,67,67,67,51,67,503,504,491,488,490,505,3,19,67,51,67,35,19,67,3,67,19,35,51,35,3,3,35,3,3,3,35,3,3,3,35,3,
35,3,35,3,35,35,3,35,35,503,504,491,554,472,472,473,67,3,35,35,3,51,3,51,471,472,521,19,67,19,67,51,19,67,51,19,67,535,488,488,490,505,67,51,19,35,3,51,51,1014,67,3,35,503,505,51,3,51,19,19,19,51,19,51,51,3,51,19,35,35,3,503,491,488,488,488,488,488,538,504,553,3,3,51,51,19,788,789,789,789,789,790,3,51,19,19,3,67,763,763,763,763,763,763,763,763,3,51,519,520,555,538,505,35,3,67,3,35,19,19,503,491,489,35,19,19,19,35,67,67,35,3,3,3,35,51,19,35,3,51,67,35,35,3,3,3,67,67,35,51,
19,67,19,3,51,19,471,472,473,67,51,503,504,491,490,505,35,3,51,19,67,35,35,35,487,488,537,51,19,3,51,19,3,51,19,3,51,551,539,488,489,51,19,3,51,51,35,35,3,35,35,3,51,19,67,35,35,35,3,3,19,51,51,51,3,35,35,471,473,19,67,51,487,488,488,488,488,488,537,19,67,67,35,35,3,35,807,810,789,789,811,809,35,35,3,3,35,51,67,67,763,763,763,763,763,763,35,35,535,536,538,553,67,35,67,35,3,19,35,3,35,503,505,19,19,3,3,19,35,35,35,51,3,3,19,51,3,67,3,3,3,3,67,3,35,35,3,3,3,51,
3,51,19,471,472,472,507,488,489,19,3,51,19,503,505,51,19,35,35,3,51,471,472,472,507,488,489,35,3,51,19,3,35,35,3,35,35,35,551,552,505,35,3,35,35,3,51,19,67,51,19,35,35,3,51,19,51,19,3,3,3,3,51,3,19,51,19,487,554,472,472,472,507,488,488,488,488,490,553,3,51,19,51,19,67,471,473,807,808,808,809,1014,51,19,67,35,51,19,51,67,67,763,763,763,763,763,763,19,551,539,537,3,35,35,35,35,67,3,67,3,19,3,3,19,3,3,19,19,35,19,51,3,3,3,35,3,19,19,67,35,67,67,3,3,51,67,3,3,3,3,
35,35,3,487,488,488,488,488,506,472,472,473,3,51,19,3,51,51,19,67,19,503,552,491,490,552,553,19,35,35,3,67,3,51,19,51,19,51,19,67,51,19,67,51,19,67,3,51,19,3,51,51,19,67,19,3,51,3,51,471,473,3,3,3,519,472,472,555,488,488,488,488,488,488,488,490,504,553,35,35,35,3,3,51,471,507,489,51,19,67,19,3,51,3,51,19,3,51,19,51,51,67,763,763,763,763,763,3,51,551,553,51,3,35,35,19,35,67,19,19,67,19,19,3,3,67,3,35,35,35,35,67,67,19,19,67,3,67,35,3,35,3,67,3,35,67,3,67,67,67,
51,19,51,503,491,490,504,491,488,488,488,537,67,35,3,35,35,3,35,35,3,35,35,503,505,3,3,51,51,19,67,3,35,35,3,51,3,51,19,19,1014,51,19,51,19,3,35,35,3,35,519,520,521,35,3,35,35,35,471,555,554,472,520,472,555,488,488,488,488,488,488,488,488,488,490,553,67,51,19,51,19,67,471,472,507,490,505,3,35,35,763,763,35,35,471,473,35,35,3,35,35,51,763,763,763,35,35,35,35,3,3,3,35,35,35,51,67,35,67,3,35,51,67,67,35,3,19,3,3,35,35,3,67,51,35,19,67,35,35,35,67,3,3,3,67,3,35,51,67,3,
35,3,35,3,503,505,3,487,488,488,488,489,3,19,1014,51,19,67,51,19,67,51,19,51,19,67,35,1014,3,35,35,3,51,19,67,35,35,35,3,3,35,35,3,35,3,35,471,473,51,519,555,536,554,521,67,51,471,472,555,488,488,488,536,488,488,488,488,488,538,539,488,488,488,490,553,19,3,51,19,3,51,19,487,490,491,489,19,67,763,763,763,763,19,471,507,489,51,19,67,51,67,35,51,19,67,51,19,51,19,67,51,67,3,67,3,67,67,67,3,3,67,19,67,3,19,35,19,35,35,35,51,35,51,67,51,35,35,3,67,67,67,67,67,3,35,67,35,51,67,67,
19,67,19,67,51,19,471,507,490,491,488,554,473,51,19,51,19,3,51,19,3,51,19,3,51,19,51,19,67,51,19,35,35,3,51,19,51,19,67,67,51,19,67,19,3,471,507,489,35,503,491,488,488,554,472,472,555,488,488,538,552,552,552,552,504,539,488,488,489,487,490,504,504,553,35,3,35,35,3,35,35,471,507,489,487,489,19,3,763,763,19,19,763,503,491,489,3,51,67,1014,35,19,51,19,3,51,19,3,51,19,3,3,3,3,67,67,3,51,67,51,67,19,3,19,43,44,3,3,35,19,67,19,51,3,3,35,35,35,35,3,35,3,67,3,3,35,35,51,51,35,
51,19,3,51,19,3,503,504,505,503,504,504,505,35,3,35,3,35,35,3,35,35,3,35,35,3,3,51,19,3,51,51,19,67,19,3,51,3,51,19,3,3,51,19,471,507,488,537,19,51,503,491,488,488,488,488,488,488,488,537,35,35,3,35,35,551,552,552,553,551,553,19,3,51,19,67,51,19,67,51,19,503,504,505,503,505,3,35,763,763,19,19,19,763,503,505,35,35,51,19,19,35,35,3,35,471,472,521,35,3,51,3,51,67,3,3,67,51,3,35,51,67,19,3,51,67,51,19,35,19,35,3,3,35,3,51,35,35,51,35,43,44,35,59,60,3,67,67,3,3,
35,3,51,19,3,35,35,3,35,35,35,35,3,19,67,19,3,51,19,67,51,19,67,51,19,67,35,35,3,35,35,3,35,35,3,35,35,35,471,473,35,35,35,3,487,488,488,489,35,35,35,487,488,488,488,488,488,488,538,505,51,19,67,51,19,67,51,19,3,3,769,770,770,770,771,3,51,19,19,3,51,19,51,19,67,19,3,51,763,763,19,19,19,763,19,67,51,19,67,19,3,51,19,67,519,555,538,553,19,67,3,51,3,3,51,3,3,3,19,51,3,51,35,59,60,19,67,35,35,35,35,3,3,3,35,3,3,35,35,3,3,67,35,67,43,44,67,3,3,35,
19,35,35,3,67,3,51,19,51,19,51,19,67,3,51,19,35,35,3,3,51,471,472,520,472,472,521,19,67,471,473,67,51,19,67,51,471,472,507,489,3,51,19,51,503,491,488,489,51,35,35,487,488,488,488,488,538,552,553,19,35,3,3,51,19,1014,3,51,35,35,788,789,789,789,790,35,35,3,3,35,35,3,3,3,51,19,35,35,519,521,763,763,763,763,763,19,3,3,51,19,35,35,3,3,551,539,489,3,51,19,67,67,51,3,3,51,51,51,67,51,3,67,19,67,3,67,3,35,67,19,67,3,19,35,67,3,3,59,60,35,67,3,67,67,67,67,35,67,35,35,
51,51,19,67,3,35,35,3,51,3,51,471,472,473,35,3,51,19,67,35,35,503,491,536,488,488,506,472,472,507,537,3,51,19,471,472,507,488,488,554,472,472,473,35,3,487,488,554,472,472,520,555,488,488,488,490,553,35,35,3,19,67,35,35,3,3,35,35,3,51,807,810,789,789,790,19,3,51,1014,51,19,67,35,35,35,3,51,519,507,506,473,763,763,763,763,3,35,519,521,3,51,19,67,35,35,551,505,35,35,3,67,3,3,67,67,3,3,67,19,51,35,51,35,51,19,67,35,35,3,19,67,35,51,3,19,43,44,19,35,35,59,60,35,35,19,35,35,43,44,51,
35,471,473,35,3,51,19,67,35,35,471,507,490,505,19,51,19,3,51,19,3,35,503,491,488,490,504,491,488,488,489,35,35,471,507,490,504,504,504,504,504,491,506,473,67,487,488,488,488,488,536,488,488,488,490,505,19,51,19,67,3,51,19,3,51,763,763,763,35,471,473,807,808,808,809,3,35,35,3,35,35,3,3,51,19,51,471,555,488,488,506,473,19,763,19,67,519,555,537,763,19,3,51,19,3,51,19,51,19,67,51,3,67,67,3,51,67,67,3,3,67,67,67,3,67,3,3,3,51,51,35,67,67,67,3,51,67,35,51,43,44,3,67,35,3,43,44,59,60,35,
471,507,554,473,35,35,3,51,19,471,507,490,505,35,3,35,3,35,471,472,472,473,35,487,488,489,51,503,491,488,554,472,472,507,490,505,67,51,19,67,3,503,491,506,520,507,488,488,488,488,488,488,488,490,505,35,3,35,35,3,35,35,471,473,763,763,763,763,763,487,554,473,67,471,473,67,51,19,67,51,19,67,35,471,473,471,555,488,488,490,504,505,3,35,35,3,535,538,553,763,3,35,35,3,35,35,3,35,35,471,472,473,67,51,51,3,3,51,3,3,3,3,35,3,3,3,3,3,3,67,51,3,67,3,3,67,3,3,67,3,3,67,3,3,51,67,51,51,67,3,
507,488,490,505,51,19,67,19,3,487,488,537,19,19,67,19,67,51,503,491,488,554,472,507,488,554,473,51,487,488,488,488,488,488,537,19,19,3,51,19,35,35,487,488,536,488,488,488,488,488,488,488,490,505,51,19,67,51,19,67,471,520,507,506,473,763,763,763,763,503,491,554,472,507,489,51,19,3,51,3,51,19,519,555,506,507,488,488,490,505,3,3,67,51,19,67,551,553,763,763,67,51,19,519,521,19,67,51,19,503,491,554,473,67,3,3,471,473,3,67,35,67,35,35,51,3,35,67,35,35,35,67,35,3,3,67,3,3,67,59,60,3,35,19,3,67,51,67,19,3,
488,490,505,35,3,35,35,3,471,507,490,505,3,51,19,3,51,19,3,503,491,488,488,488,488,488,554,472,507,488,488,488,488,490,505,3,3,1014,35,3,519,520,507,488,538,552,539,488,488,488,488,488,489,51,19,3,51,3,51,19,487,536,488,488,506,473,763,763,763,763,487,488,488,490,505,35,3,35,35,35,35,471,507,488,488,488,488,488,489,3,3,3,51,3,51,19,763,763,763,763,51,19,3,535,506,472,521,3,51,19,503,491,554,473,67,471,507,489,3,3,3,67,67,51,51,3,3,3,67,67,35,35,3,471,472,473,67,3,67,3,3,67,67,67,35,19,35,67,43,44,
488,489,51,19,67,51,19,471,507,488,537,19,67,35,3,51,19,3,35,35,503,491,488,488,488,488,488,488,488,488,488,488,490,505,3,51,19,51,19,67,535,536,488,538,553,3,551,552,539,488,490,504,505,35,3,35,35,35,35,471,507,490,504,491,488,489,763,763,763,471,507,488,488,537,3,51,19,51,19,519,520,507,488,488,488,488,488,488,554,521,3,3,3,35,35,3,35,35,3,763,763,763,763,551,539,488,489,35,1014,3,3,487,488,554,472,507,488,554,473,67,3,3,35,3,35,67,3,3,19,19,471,472,472,507,490,505,3,35,35,3,67,43,44,35,51,19,35,51,19,67,
490,505,51,19,3,51,19,535,488,488,554,473,19,19,35,35,3,67,3,51,19,503,504,504,491,488,488,488,488,488,488,488,489,3,35,35,3,35,763,763,551,552,552,553,35,3,51,19,535,488,489,67,3,51,19,51,19,51,471,507,490,505,51,503,491,554,473,763,763,503,504,504,491,554,473,35,3,51,519,555,536,488,488,488,488,488,488,488,488,554,521,3,3,51,19,67,51,19,35,763,471,472,472,473,487,488,489,51,19,67,471,507,488,488,488,490,504,491,554,473,51,3,67,35,51,35,67,3,3,67,503,491,488,490,505,3,3,67,67,59,60,51,35,19,51,19,59,60,19,59,
505,3,35,3,35,35,3,535,488,488,488,537,3,51,51,19,67,3,35,35,3,3,3,51,487,488,488,488,488,488,488,488,537,67,51,763,763,763,763,763,763,763,763,763,19,35,3,51,535,488,554,472,472,473,3,51,3,51,487,490,505,35,35,3,487,488,506,472,473,763,3,35,503,491,489,19,67,35,535,488,488,488,488,488,488,488,488,488,488,538,553,51,1014,51,19,763,763,51,51,763,535,488,488,537,487,488,489,51,19,19,503,504,491,488,488,537,3,503,491,489,67,3,67,51,67,19,19,67,3,67,35,503,504,505,35,3,35,67,3,43,44,67,19,3,67,35,67,59,60,43,
19,67,19,3,51,19,67,535,488,488,488,489,67,35,3,35,35,3,51,471,473,35,35,35,487,488,488,488,488,488,488,490,505,51,763,763,763,763,763,763,763,763,471,472,473,51,35,35,551,539,488,488,538,505,67,35,35,35,503,505,3,51,19,67,487,488,488,490,505,763,763,51,19,503,505,3,51,471,555,488,490,504,504,491,488,488,488,488,538,553,67,35,35,35,3,763,763,763,763,763,535,488,475,489,503,504,505,35,3,3,3,3,503,491,490,505,67,51,503,505,67,3,35,67,3,3,67,19,3,67,35,35,35,19,3,67,3,3,3,67,19,67,3,3,19,19,43,44,35,67,
3,51,19,35,35,3,3,551,539,488,490,505,19,19,67,51,19,35,35,487,554,521,51,19,503,504,491,488,538,539,488,489,35,35,763,763,763,763,763,763,763,763,503,491,554,473,51,19,67,551,504,504,553,3,51,19,51,19,67,67,35,35,3,471,507,488,488,489,3,763,763,763,51,51,19,67,471,555,538,504,505,51,471,507,488,488,488,488,537,3,51,19,51,19,67,67,51,19,763,763,551,552,552,553,51,19,51,19,67,67,51,3,51,503,505,67,51,67,67,3,35,67,67,67,35,35,3,51,19,35,35,67,67,35,3,3,67,35,67,67,67,35,67,67,35,67,3,19,3,35,
35,35,3,51,19,67,35,35,503,504,505,35,3,51,19,3,51,51,19,551,539,489,51,3,51,19,487,538,553,551,552,505,3,763,763,763,763,763,763,763,763,19,51,503,491,506,473,51,19,3,51,51,19,67,19,3,51,3,51,19,51,19,67,503,504,539,490,505,35,35,3,35,35,471,473,471,555,488,554,473,51,51,503,504,491,488,488,538,553,67,19,3,51,3,51,19,3,51,763,763,763,763,763,763,19,3,51,3,51,19,35,3,67,35,3,3,19,3,3,3,35,19,67,35,19,67,35,67,19,3,19,35,19,471,472,473,35,51,35,67,3,3,3,35,35,19,51,67,51,3,
51,19,51,19,1014,51,19,3,51,19,51,19,67,35,3,35,35,3,35,35,535,489,35,35,35,3,487,489,51,19,67,3,35,763,763,763,3,51,763,763,763,51,19,51,487,488,489,35,3,35,35,3,35,35,3,35,35,35,35,3,3,35,35,3,35,503,505,35,51,19,67,51,471,507,506,507,488,488,488,489,51,51,51,51,503,491,488,537,35,35,3,35,35,35,35,3,35,471,472,472,473,3,35,35,763,35,35,35,35,3,67,51,67,19,35,3,3,19,35,67,35,51,51,3,67,3,35,35,35,35,67,35,471,507,490,505,67,3,35,3,3,3,35,19,35,67,67,67,51,67,
35,3,35,3,35,35,3,35,35,3,35,35,3,19,67,51,19,67,51,19,535,554,521,51,471,472,507,489,3,35,35,3,51,19,67,35,35,35,3,3,35,35,3,471,555,490,505,19,67,51,19,67,51,19,67,471,473,51,19,67,67,51,19,67,51,19,51,19,3,51,19,51,503,491,488,488,488,488,488,554,472,473,19,471,472,507,538,553,51,19,67,51,19,51,19,67,51,551,539,488,506,473,51,19,763,51,19,51,19,67,51,3,35,67,19,3,35,35,19,3,3,19,35,3,19,67,67,67,51,35,19,471,507,490,505,35,3,51,35,51,19,51,35,19,35,67,35,51,67,67,
19,67,19,67,51,19,67,51,19,67,51,19,67,51,19,51,19,3,51,19,551,539,554,472,555,538,552,553,67,51,19,35,35,3,51,19,51,19,67,67,51,19,519,555,490,505,3,51,19,51,19,3,51,19,471,507,554,473,51,19,1014,51,19,3,51,19,3,51,35,35,3,35,3,503,504,491,488,488,488,488,488,489,19,487,488,538,553,3,51,19,3,51,19,3,51,19,3,51,551,539,488,506,473,19,3,763,19,3,51,19,19,67,35,51,19,67,67,67,3,67,19,35,35,3,67,35,19,35,35,35,35,487,490,505,35,3,51,51,35,35,35,35,35,35,51,3,35,3,35,35,
51,19,471,472,472,472,473,19,3,51,3,51,19,35,3,35,3,35,35,3,35,551,552,552,552,553,3,51,19,3,51,51,19,67,471,520,472,473,51,19,3,3,551,552,553,35,35,35,3,35,3,35,35,3,487,488,488,554,473,3,35,35,3,35,35,3,35,35,51,19,67,19,3,51,19,503,491,488,488,488,488,506,472,507,490,553,3,35,35,3,35,35,3,35,35,3,35,35,3,487,538,552,505,3,35,35,3,35,35,3,67,35,35,35,3,35,67,51,67,35,3,51,3,3,19,67,67,19,19,19,35,503,505,67,67,51,3,19,51,3,67,19,19,43,44,67,35,35,67,51,
35,471,507,490,552,552,553,3,35,35,35,35,3,19,67,19,3,51,19,67,51,19,67,51,19,67,35,35,3,35,35,3,471,472,507,536,488,489,35,3,35,35,35,3,51,19,51,19,67,19,3,51,19,67,503,491,488,490,505,67,51,19,67,51,471,472,473,19,3,3,51,19,35,35,3,3,503,504,491,488,490,552,42,504,505,19,3,51,19,67,51,19,67,51,19,67,51,19,471,507,537,51,19,67,51,19,67,51,19,67,35,35,51,19,19,35,67,35,3,67,67,67,3,19,67,19,51,3,35,67,51,35,3,51,67,35,3,35,3,3,67,35,67,35,3,3,51,35,3,67,
19,487,490,505,67,3,51,19,51,19,51,19,67,3,51,19,35,35,3,3,51,19,19,3,51,19,51,19,67,51,19,471,507,488,488,490,504,505,19,67,3,51,19,51,19,3,3,3,51,19,35,35,3,3,51,503,504,505,51,769,771,3,3,471,507,538,505,51,35,35,35,3,51,19,67,35,35,3,503,504,505,3,3,3,51,19,35,35,3,3,51,19,19,3,51,19,3,471,507,538,553,35,3,3,51,19,19,3,51,19,67,35,3,35,19,35,19,35,19,67,51,3,51,51,19,67,35,19,3,35,19,51,19,19,35,67,3,3,76,77,78,35,67,3,3,67,67,67,51,43,
51,503,505,67,3,35,35,3,51,3,51,19,19,35,35,3,51,471,473,35,35,3,3,35,35,3,3,51,19,51,19,487,490,504,504,505,19,3,51,19,35,35,3,35,3,35,35,35,35,3,51,19,67,35,35,3,3,769,770,791,792,770,771,551,539,489,35,35,3,51,471,473,19,3,51,19,3,51,19,3,35,67,35,35,35,3,51,19,67,35,35,3,3,35,471,472,472,507,488,537,51,19,67,35,35,3,3,35,35,3,51,3,35,19,3,51,35,35,67,19,35,3,51,3,3,3,67,35,3,19,19,67,67,51,67,51,67,35,92,93,61,78,51,19,51,51,67,67,51,35,
35,3,35,35,3,51,19,67,35,35,35,3,3,51,19,51,19,487,554,473,3,51,19,51,19,67,35,35,3,35,3,503,505,3,35,35,3,35,35,3,51,19,67,19,67,51,3,51,19,51,19,3,51,19,3,51,19,788,789,789,789,789,790,3,535,554,521,19,35,35,487,554,521,35,35,3,35,35,3,35,35,3,3,51,19,763,763,763,763,19,1014,51,19,51,487,476,477,488,538,553,19,3,51,19,3,51,19,51,19,67,35,51,35,67,67,35,67,3,35,67,3,3,19,67,3,51,3,67,19,19,3,3,3,51,51,19,67,3,91,93,93,107,67,43,44,3,19,3,35,3,
19,67,51,19,35,35,3,51,19,51,19,67,67,35,3,35,3,503,491,554,472,473,3,35,35,3,51,19,67,19,3,51,19,67,51,19,67,51,19,67,3,51,19,3,471,473,35,471,473,35,3,35,35,3,35,35,3,807,810,789,789,789,792,771,535,538,553,35,51,471,507,538,505,51,19,67,51,19,3,51,19,67,35,35,3,763,519,473,763,763,35,35,3,35,535,492,493,488,554,521,3,35,35,3,35,35,3,35,35,3,35,67,67,35,35,35,35,35,35,67,35,67,3,19,51,3,19,35,3,3,67,19,67,3,35,19,67,67,108,109,109,110,3,19,3,51,35,35,51,51,
51,19,3,51,51,19,67,19,3,51,3,51,19,19,67,19,67,51,503,504,491,554,473,51,19,67,3,3,51,19,35,35,3,3,51,19,19,3,51,1014,35,35,3,51,487,489,51,487,554,473,67,51,19,67,51,19,67,51,807,810,789,789,811,809,551,553,51,19,3,487,490,505,763,19,3,51,19,3,35,3,51,19,51,19,67,763,487,506,473,763,51,19,67,35,503,491,509,488,488,537,67,51,19,67,51,19,67,51,19,67,67,67,3,35,3,35,35,3,67,19,19,3,67,67,67,67,35,3,67,19,3,19,51,3,19,3,67,35,67,67,67,19,3,19,51,3,67,51,51,3,
35,3,35,35,3,35,35,3,471,473,35,35,3,51,19,3,51,19,3,51,487,488,489,3,51,19,35,35,35,3,51,471,472,473,35,3,19,19,35,3,51,19,35,35,487,554,472,507,488,506,473,19,3,51,19,3,51,3,51,807,808,808,809,19,3,51,3,519,472,507,489,763,763,763,35,35,3,35,471,473,35,3,3,51,19,763,503,539,537,763,763,3,51,35,35,503,504,504,491,537,51,19,471,472,473,3,51,3,51,19,35,67,35,35,35,35,3,35,3,471,472,473,67,67,35,3,35,35,19,67,19,35,67,19,19,35,35,67,3,35,67,35,51,35,67,3,67,35,51,35,
19,67,51,19,67,51,19,471,507,489,51,19,67,35,3,51,19,3,35,471,507,490,505,35,35,3,3,51,19,51,19,551,491,554,473,51,19,19,19,67,3,51,51,19,487,488,488,488,488,538,505,3,35,35,3,35,35,35,471,473,3,35,35,3,35,35,35,535,488,490,505,763,763,763,763,51,19,51,487,506,473,67,35,35,3,763,763,551,553,763,763,35,35,51,51,51,763,763,503,553,19,3,487,488,489,35,35,35,35,3,19,19,19,35,51,35,3,35,35,503,491,506,473,51,19,51,35,67,35,35,19,35,35,3,51,51,19,3,67,3,51,67,51,35,51,67,35,51,35,67,
51,19,51,19,471,472,472,507,488,537,3,51,19,19,35,35,3,67,3,503,504,505,19,51,19,67,35,35,3,35,3,35,487,488,489,35,3,19,35,3,35,35,3,519,555,488,488,488,488,489,3,67,3,51,19,51,471,472,507,489,67,3,51,19,51,471,472,555,488,537,763,763,763,763,763,35,3,51,487,490,505,19,51,19,35,35,763,763,763,763,19,51,19,51,19,67,763,763,763,35,3,67,487,488,554,473,19,51,19,67,3,471,473,19,19,35,19,35,35,19,503,491,506,473,35,19,19,51,19,35,35,3,35,35,3,35,3,67,19,35,3,51,67,67,67,67,35,35,67,35,
472,473,35,471,507,488,488,488,488,554,473,35,3,51,51,471,472,472,473,35,3,51,3,51,19,19,51,19,67,19,67,471,555,538,505,19,67,51,19,67,51,19,67,503,491,488,488,488,488,554,473,3,35,35,3,471,507,490,504,505,3,35,35,3,51,551,552,539,490,505,763,763,471,473,51,19,67,35,487,489,3,3,3,51,51,19,67,471,473,35,3,51,3,471,472,472,473,763,763,763,67,471,507,488,488,489,3,51,19,19,35,487,554,473,3,19,3,19,67,35,3,503,504,505,3,67,67,3,19,67,19,19,19,19,51,35,35,35,19,35,51,35,35,67,35,3,3,3,51,35,
488,489,19,503,491,488,488,488,488,490,505,19,67,35,471,507,490,504,505,19,67,35,35,35,3,3,3,51,19,3,51,503,504,505,19,3,51,3,763,763,3,51,19,3,503,491,488,488,488,488,489,3,51,19,67,503,491,537,3,3,3,51,19,67,35,35,35,551,505,763,471,472,507,506,473,3,51,471,507,489,67,67,35,35,3,35,519,555,506,473,67,35,35,535,488,488,489,763,763,763,763,487,488,488,488,489,35,35,3,3,19,503,491,554,473,19,67,67,35,19,43,44,35,19,3,51,35,67,19,19,3,19,35,35,3,3,3,3,67,3,35,67,67,51,35,35,3,3,51,35,
488,554,473,19,487,488,488,488,490,505,3,51,19,471,507,490,505,35,35,3,51,19,51,19,1014,67,35,35,3,51,19,3,35,35,3,35,763,763,763,763,763,35,3,35,35,503,491,488,488,488,554,473,35,3,51,19,487,554,473,67,35,35,3,51,19,51,19,67,3,763,503,491,490,504,505,67,19,503,491,506,473,19,51,19,67,519,555,488,488,506,473,19,51,551,539,488,554,473,763,763,763,487,488,488,488,489,51,19,67,67,3,19,487,490,505,35,67,67,3,35,3,35,3,3,19,3,35,3,3,19,19,3,35,3,19,51,51,3,3,19,19,67,67,67,67,67,67,35,3,67,
488,490,505,19,487,488,488,490,505,3,35,35,3,503,504,505,51,51,19,67,19,3,51,3,51,19,51,19,471,520,473,67,3,51,19,763,763,763,763,763,763,763,67,51,19,67,487,488,488,488,488,554,473,67,19,3,487,488,537,19,51,19,67,19,1014,51,3,51,35,763,763,535,537,3,35,35,3,35,503,491,489,3,3,51,519,555,488,488,488,488,489,3,51,3,487,488,490,505,763,763,763,487,488,488,490,505,51,3,51,19,35,35,503,505,3,35,19,67,67,35,35,35,35,3,35,3,3,35,19,35,19,51,19,3,35,67,3,19,67,51,3,35,51,19,3,51,51,3,51,51,
488,489,19,471,507,488,488,537,51,19,51,19,67,35,3,35,35,3,35,35,3,35,35,35,35,3,3,471,507,536,506,473,35,35,763,763,763,763,763,763,763,763,763,51,19,3,503,491,488,488,488,488,489,35,3,35,503,491,554,472,473,35,35,3,35,35,35,35,51,19,67,535,554,521,51,19,67,51,19,503,505,67,35,35,551,552,552,539,488,488,554,473,35,35,503,504,505,763,763,763,763,487,488,490,505,35,35,35,35,3,3,3,3,35,19,35,35,35,35,3,35,3,67,3,67,35,35,35,67,35,67,51,35,51,51,67,51,51,35,19,3,35,35,19,3,51,67,3,3,67,
488,554,472,507,488,488,490,553,35,3,35,35,3,19,67,51,19,67,51,19,67,51,19,51,19,471,472,507,488,488,488,506,473,19,763,763,763,763,763,471,473,763,763,35,3,35,51,503,491,488,488,488,489,19,67,51,19,503,504,504,505,51,19,67,51,19,51,19,3,51,19,551,552,553,51,19,3,51,19,3,51,19,51,19,67,51,19,551,539,488,488,506,521,51,19,67,51,35,763,763,763,503,504,505,67,51,19,51,19,67,51,19,19,19,67,35,3,51,51,35,19,67,67,67,3,35,19,67,35,19,19,51,19,67,19,3,3,3,19,67,19,67,3,67,3,51,3,35,67,35,
488,488,488,488,488,490,505,51,19,67,51,19,67,51,19,51,471,472,473,19,3,51,19,3,51,487,488,488,488,488,488,488,537,3,763,763,763,763,519,555,554,521,763,19,3,51,3,51,487,490,504,491,554,473,3,51,19,3,51,19,3,51,19,3,51,19,3,51,471,473,3,35,3,35,35,3,35,35,3,35,35,3,3,51,19,51,19,3,551,552,539,538,553,3,51,19,3,51,763,763,763,763,51,19,3,51,19,3,51,19,35,19,35,3,67,3,3,19,67,35,471,473,3,3,51,3,19,67,67,35,3,3,3,51,35,35,3,3,67,67,3,3,51,19,3,3,3,3,51,67,
488,488,488,488,488,489,51,19,3,51,3,51,19,35,3,35,487,490,505,3,35,35,3,35,471,507,488,488,488,488,488,538,553,67,19,763,763,763,551,539,538,553,763,19,35,35,35,35,503,505,3,487,488,489,35,35,3,35,35,3,35,35,3,35,35,3,471,472,507,489,67,19,3,51,471,472,473,19,67,51,19,67,35,35,3,35,3,35,35,3,535,537,3,35,763,763,763,763,763,763,763,763,35,3,35,35,3,35,35,3,35,19,51,19,51,3,3,51,3,471,507,489,35,67,67,35,3,19,35,67,35,35,67,35,471,473,67,19,19,67,3,3,19,67,3,3,51,3,67,196,
504,491,488,490,504,505,35,3,35,35,35,35,3,19,67,471,507,489,19,67,51,19,67,51,487,488,488,488,488,488,490,505,35,35,3,35,763,763,763,551,553,763,763,3,51,19,51,19,67,19,471,507,488,554,473,19,67,51,19,67,51,19,67,51,19,471,507,488,490,505,51,19,35,35,487,490,505,19,19,3,51,19,51,1014,67,19,3,51,19,471,555,554,521,51,19,763,763,763,763,763,763,51,19,67,51,19,67,51,19,67,67,35,35,51,67,67,51,471,472,507,490,505,3,67,35,19,19,19,3,19,3,3,35,3,487,554,473,19,3,3,3,3,3,19,67,3,3,67,67,212,
19,487,490,505,67,3,51,19,51,19,51,19,67,3,471,507,490,505,3,3,51,19,19,3,503,491,488,488,490,504,505,67,51,19,67,51,19,51,763,763,763,51,19,51,19,3,3,3,51,471,507,488,488,490,505,19,19,3,51,19,35,3,3,51,19,487,490,504,505,35,35,3,51,471,507,489,35,3,3,67,35,3,3,3,51,19,35,35,3,551,539,538,553,3,51,19,763,763,763,19,35,35,3,3,51,19,19,3,51,19,67,35,67,67,3,51,51,503,491,490,505,3,67,51,3,67,3,35,51,35,3,3,35,35,503,491,506,473,3,67,19,51,19,3,3,67,3,3,67,228,
51,503,505,67,3,35,35,3,51,3,51,19,19,35,551,539,506,473,67,35,35,3,3,35,35,503,504,491,489,51,19,3,51,19,3,51,19,3,51,19,35,35,3,35,3,35,35,35,35,503,504,491,538,505,35,3,3,35,35,3,19,67,35,35,471,507,489,35,3,51,19,471,472,507,490,505,3,51,67,35,35,67,35,35,35,3,51,19,67,35,551,553,3,35,35,3,35,35,35,3,51,19,67,35,35,3,3,35,471,472,473,3,3,51,67,67,51,67,503,505,67,67,67,67,67,67,67,67,19,3,67,67,51,51,19,503,504,505,3,3,3,3,19,3,67,3,67,3,203,244,
35,3,35,35,3,51,19,67,35,35,35,3,3,51,19,551,539,554,473,19,3,51,19,51,19,67,35,487,554,473,3,35,35,3,35,471,473,35,35,3,51,19,67,19,67,51,3,471,473,51,19,487,489,19,3,51,19,51,19,67,3,51,19,471,507,488,554,473,35,35,471,507,490,504,505,3,67,35,471,473,19,3,3,51,471,472,473,3,51,19,3,51,19,51,19,67,3,51,19,51,19,3,51,19,3,51,19,51,503,491,554,473,67,67,67,51,3,3,3,51,35,35,35,67,19,3,35,67,35,35,67,3,3,35,67,3,19,19,3,3,3,67,67,67,67,67,67,67,199,67,
19,67,51,19,35,35,3,51,19,51,19,67,67,35,3,35,551,552,553,3,35,35,3,35,35,3,51,487,488,506,473,51,19,471,472,507,506,473,19,67,3,51,19,3,51,471,472,507,489,35,471,507,554,472,473,35,3,35,35,1014,35,35,3,503,491,488,488,554,472,472,507,490,505,51,19,67,51,19,487,554,473,67,35,471,507,490,505,35,35,3,35,35,3,35,35,3,35,35,3,471,472,473,35,3,35,35,3,35,35,503,491,554,473,67,67,19,3,67,67,3,67,3,3,35,67,43,44,67,67,3,3,35,19,3,19,67,3,3,67,3,19,19,67,67,67,67,67,67,228,229,
51,19,3,51,51,19,67,19,3,51,3,51,19,19,67,19,67,51,19,67,51,19,67,51,19,67,471,507,490,504,505,35,3,503,504,504,491,506,473,19,35,35,3,51,471,507,488,488,489,19,487,488,488,488,489,19,67,51,19,67,51,19,67,471,507,488,488,488,488,490,504,505,51,19,3,51,19,3,487,488,506,472,472,507,488,489,67,51,19,67,51,19,67,51,19,67,51,19,67,503,491,537,19,67,51,19,67,51,19,67,551,552,553,3,51,19,67,35,3,3,67,19,35,35,67,19,3,3,67,35,67,35,19,19,19,19,67,3,19,3,67,51,3,19,51,67,67,3,67,3,
35,3,1014,35,3,35,35,3,35,35,35,35,3,51,19,3,51,19,3,51,19,3,51,3,51,19,487,490,505,3,51,19,67,35,35,3,487,488,489,3,51,19,35,471,507,488,488,490,505,3,503,504,491,488,489,3,51,3,51,19,19,3,51,503,491,490,504,539,488,489,3,51,19,3,35,35,3,35,503,491,488,488,488,488,490,505,51,19,3,51,19,3,51,3,51,19,3,519,472,472,507,537,3,51,19,3,51,3,51,19,19,3,67,35,67,51,3,3,3,3,19,35,3,67,19,67,19,67,35,67,3,19,19,3,35,35,35,67,19,3,35,51,19,19,35,35,67,3,35,19,
19,67,51,19,67,51,19,67,51,19,51,19,67,35,3,51,19,3,35,35,3,35,35,35,471,472,507,489,19,51,19,1014,51,19,3,471,507,488,554,473,3,51,51,487,488,488,488,489,3,51,19,3,487,488,554,473,35,35,35,3,3,35,35,3,503,505,19,503,504,505,35,35,3,67,1014,51,19,51,19,487,488,488,488,488,489,35,19,3,35,35,3,35,35,35,35,3,35,535,490,504,491,554,521,35,3,35,35,35,35,3,35,51,67,35,51,19,67,35,67,3,35,19,67,67,3,51,3,3,35,35,51,35,51,19,35,35,19,3,3,67,67,51,35,3,35,67,3,19,67,67,
51,19,51,19,3,51,19,3,51,19,3,51,19,19,35,35,3,67,3,51,19,51,19,471,507,490,504,505,3,35,3,35,35,3,471,507,490,491,488,506,473,35,3,487,488,488,488,489,35,35,3,471,507,488,488,554,521,51,19,67,67,3,51,19,51,19,51,19,3,51,51,19,67,3,35,35,3,51,3,503,491,488,488,488,537,35,35,67,35,51,35,35,19,51,19,67,471,555,489,35,487,488,537,51,19,51,19,51,19,67,67,3,35,19,51,3,3,3,51,19,35,67,3,35,51,35,35,67,19,35,3,3,35,19,35,19,19,19,19,67,35,35,19,19,3,51,3,51,51,35,
35,3,35,3,35,35,3,35,35,3,35,35,3,51,51,19,67,3,35,35,3,51,3,503,491,489,51,19,67,19,67,51,19,67,503,491,489,487,488,490,505,19,67,503,491,488,490,505,51,19,67,551,491,488,488,488,537,51,19,19,3,35,35,3,51,3,51,19,35,35,3,35,35,3,51,19,471,473,35,471,507,488,488,488,554,521,67,3,35,1014,19,19,3,51,19,19,503,491,554,472,507,538,553,35,3,51,3,51,19,19,3,35,3,51,67,3,67,67,3,51,19,3,19,3,19,35,67,67,3,3,51,19,19,19,35,19,19,35,19,3,35,35,3,19,19,67,67,3,67,19,
19,67,19,3,51,19,67,51,19,67,51,19,67,35,3,35,35,3,51,19,67,35,35,35,487,554,472,473,19,3,51,19,3,51,19,503,505,503,504,505,3,51,19,3,487,488,489,35,3,35,35,3,551,539,488,538,553,35,3,3,3,51,19,67,35,3,519,473,51,67,471,473,19,35,35,471,507,506,472,507,488,488,488,538,552,553,35,769,771,19,35,35,35,35,3,3,35,503,504,504,552,553,51,19,67,35,35,35,3,3,3,67,67,67,35,51,3,51,67,3,19,3,3,35,3,3,67,3,35,51,35,3,19,19,19,51,3,19,3,19,67,67,19,67,35,19,51,19,35,19,
3,51,19,35,35,3,3,471,473,19,3,51,19,19,67,51,19,35,35,3,51,19,51,519,507,488,488,489,3,51,471,473,35,35,3,35,35,35,35,3,35,35,3,471,507,490,505,19,67,51,19,35,35,535,538,553,51,19,67,67,35,35,3,51,19,51,487,554,472,472,507,489,51,51,19,487,488,488,488,488,488,488,538,553,51,19,769,791,792,770,771,35,19,19,67,67,51,19,67,51,19,35,35,3,51,19,51,19,67,67,35,19,3,35,19,67,19,3,67,3,19,67,35,35,35,35,51,35,67,51,19,19,19,67,67,19,3,3,19,51,67,51,3,51,67,3,3,67,51,51,
35,35,3,51,19,67,471,507,554,473,35,35,3,51,19,3,51,51,19,67,19,3,519,507,490,504,504,505,35,35,487,554,473,51,19,51,19,51,19,67,51,19,67,535,488,489,3,51,19,3,51,51,19,551,553,3,51,3,51,19,51,19,67,19,3,471,507,488,488,488,490,505,35,519,472,507,488,488,488,538,552,539,537,51,19,35,788,789,789,789,792,770,771,3,51,19,3,51,19,3,51,51,19,67,19,3,51,3,51,19,67,67,471,472,473,3,3,51,3,51,67,67,67,35,67,3,19,35,35,51,19,19,3,35,19,35,19,19,19,35,35,3,67,67,19,67,35,35,19,51,
51,19,51,19,3,51,487,488,488,554,473,19,67,35,3,35,35,3,35,35,3,519,507,490,505,3,3,51,51,19,503,539,489,35,3,51,3,51,19,19,3,51,19,535,488,537,35,35,3,35,35,3,35,35,3,35,35,35,35,3,3,35,35,3,471,507,488,488,490,504,505,51,19,503,491,488,488,488,538,553,51,551,553,3,35,769,791,789,789,789,789,789,792,771,35,3,35,35,3,35,67,35,35,35,3,35,35,35,471,472,473,67,487,490,505,3,67,3,67,19,67,67,35,19,19,19,3,19,19,3,19,3,3,51,67,3,67,67,35,19,3,19,35,35,51,67,19,3,3,67,
35,3,35,3,35,471,507,488,488,488,554,473,3,19,67,51,19,67,51,19,67,503,504,505,19,67,35,35,3,35,35,487,554,473,67,35,35,35,3,3,35,35,3,535,488,489,51,19,67,51,19,67,51,19,67,51,19,51,19,67,67,51,19,67,503,504,491,488,489,51,19,51,19,3,487,488,488,488,489,51,3,3,35,3,35,807,810,789,789,789,789,789,811,809,19,67,51,19,67,67,35,35,51,19,67,51,19,51,487,488,554,472,507,489,67,3,3,3,51,51,19,19,35,3,3,43,44,3,3,67,35,67,35,51,3,3,67,67,3,67,35,67,3,67,51,19,3,3,19,35,
19,67,19,67,51,487,488,488,488,488,488,489,67,51,19,51,471,472,473,19,3,51,19,3,51,19,51,19,67,51,19,503,539,554,473,19,51,19,67,471,473,19,67,551,539,554,520,521,19,51,19,3,51,19,3,51,19,3,51,19,3,51,19,3,51,471,507,490,505,35,3,35,3,471,507,488,488,488,489,3,35,19,35,3,35,51,807,808,810,789,789,789,790,3,51,19,3,51,19,67,35,19,51,19,3,51,19,3,503,504,491,488,488,554,472,473,3,3,67,67,67,19,51,51,19,51,19,19,67,35,35,51,35,67,3,67,35,35,67,67,35,67,3,35,67,3,19,67,51,67,
51,19,3,51,19,503,491,488,488,488,488,554,473,35,3,35,487,488,506,473,35,35,3,35,35,3,3,51,19,3,51,51,487,488,489,3,51,3,471,507,489,3,51,19,535,488,536,506,521,35,3,35,35,3,35,35,3,35,35,3,35,35,3,35,35,503,491,489,51,19,67,471,472,507,488,488,488,488,554,521,3,35,67,35,3,1014,3,35,788,789,789,811,809,35,35,3,35,35,3,51,19,35,35,3,35,35,3,35,35,3,503,491,488,490,504,505,19,3,51,67,3,3,19,35,3,3,3,51,3,51,3,19,51,51,3,35,3,67,51,67,3,35,51,67,19,3,19,3,3,19,
35,3,51,19,3,35,487,488,488,488,488,488,506,473,3,471,507,488,488,554,473,19,67,51,19,67,35,35,3,35,35,3,503,539,554,521,35,35,487,490,505,35,35,3,503,504,539,488,537,19,3,51,19,67,51,19,67,471,472,521,51,19,67,51,19,471,507,489,3,3,51,551,552,539,488,488,488,488,488,506,521,19,51,19,67,19,3,51,807,810,811,809,67,51,19,67,51,19,67,19,3,51,19,67,51,19,67,51,19,67,3,503,504,505,19,51,67,3,67,67,67,3,19,35,35,3,19,35,67,67,19,67,19,19,19,3,51,19,35,35,35,35,67,3,3,35,35,67,35,51,
19,35,35,3,67,3,503,504,491,488,488,488,488,489,3,487,488,488,538,539,506,521,19,3,51,19,51,19,67,51,19,67,51,503,488,489,19,471,507,489,3,51,19,51,19,3,551,552,553,19,35,35,3,3,51,19,471,507,538,553,35,3,3,51,19,503,504,505,35,35,35,3,51,535,488,488,538,552,539,538,553,3,3,3,51,19,35,35,3,807,809,19,471,473,51,19,3,3,51,19,35,35,3,3,51,19,19,3,51,19,35,3,3,67,19,51,19,67,51,19,3,51,51,3,3,51,51,3,67,3,3,19,51,67,19,67,67,19,67,35,3,19,51,3,19,67,67,67,3,67,
51,51,19,67,3,35,35,3,503,504,491,488,488,506,472,507,538,552,553,551,539,537,3,35,35,3,3,51,1014,51,19,3,51,19,539,554,472,507,490,505,35,35,3,35,3,35,35,35,35,3,51,19,67,35,471,472,507,538,553,3,19,67,35,35,3,3,35,35,3,51,19,51,471,555,488,538,553,51,551,553,19,67,35,35,35,3,51,19,67,35,519,521,487,506,472,521,35,35,35,3,51,19,67,35,35,3,3,35,35,3,35,67,67,51,67,67,67,3,3,3,67,67,3,35,35,19,35,51,35,35,67,3,67,67,19,19,67,19,35,35,3,19,51,3,35,51,67,3,35,67,
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,0,0,0,2,0,2,2,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,2,0,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,0,0,0,0,0,2,0,0,2,2,0,2,2,0,0,2,2,0,0,0,2,0,2,2,0,2,2,2,0,2,2,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,2,2,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,2,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,2,2,2,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,2,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,2,2,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,0,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,0,0,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,0,2,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,0,0,0,2,2,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,0,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,0,0,2,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,2,2,2,0,2,2,0,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,0,0,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,0,0,2,2,0,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,2,2,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,0,0,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,0,2,2,0,2,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,0,0,2,2,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,2,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,2,2,0,0,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,2,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,2,2,0,0,2,2,2,0,0,0,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,0,2,2,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,2,2,0,2,2,0,0,0,2,2,0,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,0,0,0,0,2,2,2,0,2,2,0,0,0,0,0,0,0,0,2,2,0,0,2,2,0,0,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,2,2,0,0,2,2,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,0,0,0,0,2,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,2,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,2,0,0,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,2,2,0,0,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,2,0,0,0,0,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,0,2,2,0,2,2,0,2,2,0,0,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,0,2,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,2,2,2,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,2,0,0,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,2,2,0,0,0,0,0,0,0,2,0,0,0,0,0,2,2,2,2,0,0,0,2,2,0,2,2,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,2,2,0,0,0,0,2,2,2,2,2,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,0,0,0,0,0,0,2,2,0,0,2,0,0,0,0,0,0,0,0,0,2,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,0,0,2,2,0,0,0,0,2,0,2,2,0,0,0,0,2,2,2,2,2,2,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,2,2,0,0,0,2,0,2,2,2,2,2,2,0,0,0,0,0,2,2,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,0,0,0,0,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,0,0,0,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,0,0,0,2,2,2,2,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,2,2,2,2,0,0,0,2,2,2,2,0,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,0,0,0,2,2,0,2,2,0,2,2,2,2,2,2,0,0,0,0,2,2,0,0,0,2,2,2,2,2,2,0,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,0,2,2,2,2,0,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,0,0,0,2,2,2,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,2,2,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,2,2,0,0,2,2,2,2,0,0,0,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,0,0,0,0,2,2,0,0,2,2,2,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,2,2,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,2,2,2,2,2,2,0,0,0,2,2,2,0,2,2,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,0,0,0,0,2,2,0,0,0,2,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,2,2,2,2,0,0,0,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,0,2,2,2,2,2,2,2,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,2,2,2,0,0,2,2,0,0,2,2,0,0,0,2,2,0,2,2,0,0,0,0,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,2,0,2,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,2,2,0,0,0,0,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,2,0,0,0,0,2,2,0,0,0,2,2,2,2,0,0,0,2,2,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,0,2,2,0,0,2,2,2,2,2,2,0,0,0,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,2,2,2,2,0,0,2,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,0,0,0,2,2,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,0,0,2,0,0,0,2,2,0,0,0,2,2,2,0,0,0,0,0,2,2,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,0,0,2,2,2,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,2,2,2,0,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,0,0,0,0,0,0,2,2,2,2,2,0,0,0,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,0,0,2,2,2,0,0,0,0,0,0,0,2,2,0,2,2,2,2,2,2,2,0,2,2,0,0,0,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,2,2,0,0,2,2,2,0,0,0,0,2,2,2,2,2,0,0,2,2,0,2,2,2,2,0,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,0,0,2,0,0,2,2,2,2,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,0,2,0,0,0,0,0,2,2,2,2,0,0,0,0,0,2,0,0,0,0,0,2,2,2,0,0,0,0,0,2,2,2,2,2,0,2,2,0,0,2,2,2,0,0,0,0,0,0,0,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,0,0,0,2,2,0,0,0,0,2,2,0,2,2,2,2,0,0,2,2,2,2,0,0,0,2,2,0,0,2,2,0,2,2,0,2,2,2,2,0,2,0,0,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,2,2,0,0,0,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,0,0,0,0,0,0,2,2,2,2,0,0,0,2,2,2,2,0,0,0,0,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,2,2,2,0,0,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,0,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,2,2,2,2,0,0,2,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,0,0,2,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,2,2,0,0,0,0,2,2,2,2,2,2,0,0,0,2,2,2,0,0,0,0,2,2,2,2,0,0,0,0,0,0,2,2,0,0,2,2,0,0,0,0,0,0,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,2,2,0,0,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,2,2,0,2,2,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,0,2,2,0,0,2,0,0,0,0,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,2,2,2,2,0,2,0,0,0,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,2,2,0,0,0,0,2,2,2,2,2,0,0,0,0,2,2,2,0,0,0,0,2,2,0,0,0,0,0,0,2,2,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,2,0,0,2,2,2,2,0,0,2,2,2,2,2,0,0,0,2,0,0,0,0,0,0,0,2,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,2,2,0,0,0,0,0,2,2,2,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,0,0,2,2,2,2,2,2,0,0,0,2,2,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,0,0,0,2,2,2,2,0,0,0,0,0,2,2,0,2,2,2,2,0,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,2,2,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,0,2,2,2,2,2,0,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,0,2,2,2,2,0,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,0,2,2,2,0,0,0,0,0,0,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,2,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,0,0,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,2,2,0,0,2,2,0,0,2,2,0,0,0,0,2,2,0,0,0,0,0,2,2,0,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,0,0,0,2,0,2,2,2,2,0,0,0,2,2,0,0,0,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,0,2,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,2,2,0,0,2,2,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,2,2,0,0,0,0,0,2,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,2,2,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,0,0,2,2,0,2,2,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,2,2,0,0,0,2,0,0,0,2,0,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,0,2,2,2,0,0,0,0,0,0,2,2,0,0,2,2,2,2,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,2,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,2,0,2,2,0,0,0,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,0,0,2,0,0,2,2,2,2,0,0,0,2,2,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,2,2,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,2,2,0,0,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,2,2,2,2,2,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,2,0,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,0,0,2,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,0,0,2,0,2,2,2,0,0,2,2,2,2,0,0,2,2,2,2,2,2,0,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,0,0,0,0,0,0,0,2,2,0,0,0,0,0,2,2,0,0,2,2,2,0,2,2,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,0,2,2,0,0,0,0,0,0,2,2,2,2,2,0,0,0,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,0,0,0,0,0,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2